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January 26, 2025 00:05
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{ | |
"nbformat": 4, | |
"nbformat_minor": 0, | |
"metadata": { | |
"colab": { | |
"provenance": [] | |
}, | |
"kernelspec": { | |
"name": "python3", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"name": "python" | |
} | |
}, | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from matplotlib import cm\n", | |
"from scipy.stats import multivariate_normal\n", | |
"from mpl_toolkits.mplot3d import Axes3D\n", | |
"\n", | |
"def plot_3d_gaussian_transparent(mean, cov, num_points=10000):\n", | |
" \"\"\"\n", | |
" Visualizes a two-dimensional multivariate Gaussian distribution in 3D with a transparent surface plot.\n", | |
"\n", | |
" Args:\n", | |
" mean: A list or array containing the mean of the distribution (e.g., [0, 0]).\n", | |
" cov: A 2x2 covariance matrix (e.g., [[1, 0.5], [0.5, 1]]).\n", | |
" num_points: The number of points to sample from the distribution.\n", | |
" \"\"\"\n", | |
"\n", | |
" # Create a grid of points\n", | |
" x = np.arange(-4, 4, 0.2)\n", | |
" y = np.arange(-4, 4, 0.2)\n", | |
" x, y = np.meshgrid(x, y)\n", | |
" pos = np.dstack((x, y))\n", | |
"\n", | |
" # Generate the multivariate Gaussian distribution\n", | |
" rv = multivariate_normal(mean, cov)\n", | |
" z = rv.pdf(pos)\n", | |
"\n", | |
" # Plot the distribution as a 3D surface plot with transparency\n", | |
" fig = plt.figure()\n", | |
" ax = fig.add_subplot(111, projection='3d')\n", | |
" ax.plot_surface(x, y, z, cmap=cm.coolwarm) # Set alpha for transparency\n", | |
" ax.set_xlabel('X')\n", | |
" ax.set_ylabel('Y')\n", | |
" ax.set_zlabel('Z')\n", | |
" ax.set_title('2D Gaussian Distribution')\n", | |
" plt.show()\n", | |
"\n", | |
"# Example usage:\n", | |
"mean = [0, 0] # Mean of the distribution\n", | |
"cov = [[1, 0.5], [0.5, 1]] # Covariance matrix\n", | |
"plot_3d_gaussian_transparent(mean, cov)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 439 | |
}, | |
"id": "lmhE87qV3wV0", | |
"outputId": "9c7c7a66-9129-4144-b234-02c78bff144d" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from scipy.stats import norm\n", | |
"\n", | |
"def plot_1d_gaussian(mean, std, num_points=100):\n", | |
" \"\"\"\n", | |
" Visualizes a one-dimensional Gaussian distribution.\n", | |
"\n", | |
" Args:\n", | |
" mean: The mean of the distribution.\n", | |
" std: The standard deviation of the distribution.\n", | |
" num_points: The number of points to plot.\n", | |
" \"\"\"\n", | |
" x = np.linspace(mean - 3*std, mean + 3*std, num_points) # Create x-axis values\n", | |
" y = norm.pdf(x, mean, std) # Calculate the PDF values\n", | |
"\n", | |
" plt.plot(x, y)\n", | |
" plt.xlabel('X')\n", | |
" plt.ylabel('Probability Density')\n", | |
" plt.title('1D Gaussian Distribution')\n", | |
" plt.show()\n", | |
"\n", | |
"# Example usage:\n", | |
"mean = 0 # Mean of the distribution\n", | |
"std = 1 # Standard deviation\n", | |
"plot_1d_gaussian(mean, std)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 472 | |
}, | |
"id": "ACZtTGYS3wq5", | |
"outputId": "e87dae58-08ee-4672-c375-42aab8e70d23" | |
}, | |
"execution_count": null, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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ZmeDo6CiEh4cLM2bMEG7cuHHPY/45Df769evCCy+8IPj7+wsWFhaCo6Oj0K9fP2HPnj1VHnfx4kWhd+/egqWlpQBAn63yNeXk5NzzXPd7vWvXrtW/Px06dLjn6ycIgvD7778LwcHBglwuF1q1aiWsXbu22nPWlO2f0+ArLVy4UAgKChLMzc0FV1dXYfLkycLt27ertKlpuYeapucT1SfuBUZEREQmh2OAiIiIyOSwACIiIiKTwwKIiIiITA4LICIiIjI5LICIiIjI5LAAIiIiIpPDhRCrodPpkJGRAVtb2zpdqp6IiIjqjyAIKCgogIeHB6TS+/fxsACqRkZGBry9vcWOQURERA8hNTUVXl5e923DAqgatra2ACrewAftvURERETGQa1Ww9vbW/85fj8sgKpRednLzs6OBRAREVEjU5vhKxwETURERCaHBRARERGZHBZAREREZHJYABEREZHJYQFEREREJocFEBEREZkcFkBERERkclgAERERkclhAUREREQmxygKoEWLFsHHxwcWFhYIDw/H0aNHa/W4DRs2QCKRYPjw4VWOC4KAmTNnwt3dHZaWloiIiMCVK1fqITkRERE1RqIXQBs3bkR0dDRmzZqFhIQEhISEIDIyEtnZ2fd9XHJyMt5880306tXrnvvmzZuHBQsWYMmSJThy5Aisra0RGRmJkpKS+noZRERE1IiIXgB9+eWXmDRpEqKiotCmTRssWbIEVlZWWL58eY2P0Wq1eOaZZ/DRRx/Bz8+vyn2CIGD+/Pl4//33MWzYMLRv3x6rV69GRkYGtm3bVs+vhoiIiBoDUQsgjUaDEydOICIiQn9MKpUiIiIC8fHxNT7u448/houLC1588cV77ktKSkJmZmaVcyqVSoSHh9d4ztLSUqjV6io3ImpabhdpkHa7uMrtVpFG7FhEJBJRd4PPzc2FVquFq6trleOurq64ePFitY85cOAAli1bhsTExGrvz8zM1J/jn+esvO+fYmJi8NFHHxmYnoiMWUmZFseSb+HPK7nYfzkHFzMLqm0X6GKDXoHO6NXSCeG+jrCSi/prkYgaSKP6SS8oKMBzzz2HpUuXwsnJqc7OO2PGDERHR+v/rVar4e3tXWfnJ6KGk3qrGF/tvoxfztxEabmuyn0Ks6qd3hqtDleyC3EluxDLDyZBLpPi8baueOPxlvBztmnI2ETUwEQtgJycnCCTyZCVlVXleFZWFtzc3O5pf+3aNSQnJ+PJJ5/UH9PpKn7BmZmZ4dKlS/rHZWVlwd3dvco5Q0NDq82hUCigUCge9eUQkYhuF2mwcO9VrIm/AY224veCm50FegU6oVdLZ/Twb4ZmNlV/zvOLNTh0LQ9/XsnB/su5SM+/g19O38TOs5kY38Ubr/VvCWdb/m4gaopELYDkcjnCwsIQGxurn8qu0+kQGxuLqVOn3tM+KCgIZ86cqXLs/fffR0FBAb7++mt4e3vD3Nwcbm5uiI2N1Rc8arUaR44cweTJk+v7JRFRAyvT6vB/fyZhcdxVFJSUAwB6BjjhzchWCPFSQiKR1PhYeys5Brdzx+B27hAEAedvqvHF75fxx8VsrD2cgi0J6Xiptx9e7uMPC3NZQ70kImoAol8Ci46OxsSJE9GpUyd06dIF8+fPR1FREaKiogAAEyZMgKenJ2JiYmBhYYHg4OAqj7e3tweAKsdff/11fPLJJwgMDISvry8++OADeHh43LNeEBE1brmFpXhlbQKOJt8CALR2t8OMQUHo3dLZ4HNJJBK09VBi+fOdcfh6HmJ+vYBTaSrM33MFey/l4Ltnw+CmtKjrl0BEIhG9ABo7dixycnIwc+ZMZGZmIjQ0FDt37tQPYk5JSYFUathktbfffhtFRUV46aWXkJ+fj549e2Lnzp2wsOAvL6Km4kyaCv9ecxwZqhLYKMzw4dC2GNnBE1JpzT0+tdXVrxm2TemBHadv4oPtZ3EqNR9PfHMA3z3XEWEtHOsgPRGJTSIIgiB2CGOjVquhVCqhUqlgZ2cndhwi+oftiel4e9NplJbr4Odkjf9N6IQAl/oZtJySV4yX1hzHxcwCmMsk+HhYMMZ3aV4vz0VEj8aQz2/RF0IkIqotQRAwb+dFvLYhEaXlOvRr5YytU3rUW/EDAM2bWWHz5O4YFOyGMq2AGVvO4MOfzkGn49+ORI0ZCyAiajS+2n0Zi+OuAQBe6euP/5vYGUpL83p/XmuFGRY/0xFvDmgJiQRYeSgZs385D3agEzVeLICIqFFYuv86FvxxFQDw8bC2eHtgEGR1MN6ntiQSCaY+FojPRocAAFYcTMb8PdxkmaixYgFEREZv/dEUfPrrBQDAW5GtMKGbj2hZRod54cMn2wAAvo69gv/787poWYjo4bEAIiKj9vOpDLy7tWL9r3/38cMrff1FTgQ838MXbzzeEgDwyS8X8MOxVJETEZGhWAARkdE6cCUX/9mYCEEAng5vjukDg+67sGFDmvpYACb18gUATN9yGr+fq36vQSIyTiyAiMgoZeTfwbT1CSjXCXgyxAOzhwUbTfEDVIwJendwa4zr7A2dALzxwykk5xaJHYuIaokFEBEZHU25DlPXJeB2cRmCPe3w2ej2DTrgubYkEglmDw9GZx8HFJSWY/L3CSgp04odi4hqgQUQERmdOb9dREJKPmwtzLD46TCj3ofLXCbFN+M7opm1HBduqjFr+zmxIxFRLbAAIiKj8uuZm1h+MAkA8OVToWjezErkRA/mprTAgvEdIJEAG4+n4sfjHBRNZOxYABGR0UjKLcLbm04DAP7d2w+Pt3EVOVHt9Qhwwn8iKmaGfbD9LC7cVIuciIjuhwUQERmF0nItJq89gcLScnTxccSbka3EjmSwqf0C0LulM0rKdHjl+wQUa8rFjkRENWABRERGYdHea7iYWYBm1nJ883QHmMsa368nqVSC+WND4a60QFJuEb74/bLYkYioBo3vNwwRNTkXbqqxeG/lNhfBcLWzEDnRw3O0luO/I9sBAJYfTEJCym2RExFRdVgAEZGoyrU6vLP5NMp1Aga0ccXgdm5iR3pk/Vq5YGQHTwgC8M6m0ygt59R4ImPDAoiIRLXsQBJOp6lga2GGT4Yb12KHj+KDJ9rAyUaOK9mFWHR3E1ciMh4sgIhINEm5Rfhyd8U4mQ+GtIFLI7709U8O1nJ8NDQYALA47hpnhREZGRZARCQKnU7A9M2nUVquQ88AJ4zp5CV2pDo3uJ0bBrRxRblOqLjMp9WJHYmI7mIBRESi2HAsFUeSbsHSXIaYke2azKWvv5NIJPhkeDBsLcxwOk2lX+CRiMTHAoiIGpyquAyf7boIAHgzshW8HY1/teeH5WJngfeHtAYALIi9iuyCEpETERHAAoiIRLDgjyu4XVyGQBcbTOzWQuw49W5MmDfaeylRWFqOL7k2EJFRYAFERA3qek4hVh1KBgC8/0QbmDXCBQ8NJZVKMPOJNgAq9go7l6ESORERNf3fPERkVP7760WU6wT0a+WMPi2dxY7TYDr5OOKJ9u4QBODjn89DEASxIxGZNBZARNRgDlzJxZ4LWZBJJXhvSBux4zS46YOCIDeT4kjSLew6lyV2HCKTxgKIiBpEuVaH2TvOAwCe69oCAS42IidqeF4OVniplx8A4L+/XuAK0UQiYgFERA1i4/FUXMoqgNLSHK9HBIodRzST+/rD2VaBlFvFWHkwWew4RCaLBRAR1buCkjL9zuj/iQiEvZVc5ETisVaY4e3IVgCAb/64itzCUpETEZkmFkBEVO+WHUjCrSIN/Jyt8UzXpj/t/UFGdfRCsKcdCkvLsSTumthxiEwSCyAiqlf5xRos+7NiBeTox1vC3ASmvT+IVCrBGwMqeoHWHL6BLDUXRyRqaPxNRET1aumf11FQWo4gN1sMDnYXO47R6NvSGWEtHFBarsPivdwtnqihsQAionqTV1iKFXcH+kY/3hJSadPb7+thSSQSvPF4SwDA+qOpSM+/I3IiItNiFAXQokWL4OPjAwsLC4SHh+Po0aM1tt2yZQs6deoEe3t7WFtbIzQ0FGvWrKnS5vnnn4dEIqlyGzhwYH2/DCL6hyX7rqFYo0V7LyUeb+Mqdhyj0z3ACV39HKHR6rDwjytixyEyKaIXQBs3bkR0dDRmzZqFhIQEhISEIDIyEtnZ2dW2d3R0xHvvvYf4+HicPn0aUVFRiIqKwq5du6q0GzhwIG7evKm/rV+/viFeDhHdlaUuwer4GwCA/zzesknu9l4XKscC/Xg8DSl5xSKnITIdohdAX375JSZNmoSoqCi0adMGS5YsgZWVFZYvX15t+759+2LEiBFo3bo1/P398dprr6F9+/Y4cOBAlXYKhQJubm76m4ODQ0O8HCK6a/Heqygt16Fjc3v0NaEtLwzV2ccRvVs6o1wn4OtY9gIRNRRRCyCNRoMTJ04gIiJCf0wqlSIiIgLx8fEPfLwgCIiNjcWlS5fQu3fvKvfFxcXBxcUFrVq1wuTJk5GXl1fjeUpLS6FWq6vciOjhpeffwfqjqQCANwe0Yu/PA1SOBdp6Mg3XcgpFTkNkGkQtgHJzc6HVauHqWnVsgKurKzIzM2t8nEqlgo2NDeRyOYYMGYJvvvkGjz/+uP7+gQMHYvXq1YiNjcXcuXOxb98+DBo0CFpt9cvOx8TEQKlU6m/e3t518wKJTNTCP65Co9Whq58jugc4iR3H6IV42yOitSt0AvD1HvYCETUEM7EDPAxbW1skJiaisLAQsbGxiI6Ohp+fH/r27QsAGDdunL5tu3bt0L59e/j7+yMuLg79+/e/53wzZsxAdHS0/t9qtZpFENFDylKXYPOJNABA9OOtRE7TePzn8UDsuZCFHaczEP14S/g4WYsdiahJE7UHyMnJCTKZDFlZVXdFzsrKgpubW42Pk0qlCAgIQGhoKN544w2MHj0aMTExNbb38/ODk5MTrl6tfq0NhUIBOzu7KjciejjLDiRBo9Whs48Duvg6ih2n0WjroUTfVs7QCcD//rwudhyiJk/UAkgulyMsLAyxsbH6YzqdDrGxsejWrVutz6PT6VBaWvN+OmlpacjLy4O7OxdhI6pPquIyfH+4YubX5L7+IqdpfF7pGwAA2HQ8DdlcHZqoXok+Cyw6OhpLly7FqlWrcOHCBUyePBlFRUWIiooCAEyYMAEzZszQt4+JicHu3btx/fp1XLhwAV988QXWrFmDZ599FgBQWFiIt956C4cPH0ZycjJiY2MxbNgwBAQEIDIyUpTXSGQqVscno0ijRZCbLfq1chE7TqPT2ccBYS0coNHqsOxgkthxiJo00ccAjR07Fjk5OZg5cyYyMzMRGhqKnTt36gdGp6SkQCr9q04rKirCK6+8grS0NFhaWiIoKAhr167F2LFjAQAymQynT5/GqlWrkJ+fDw8PDwwYMACzZ8+GQqEQ5TUSmYI7Gi1WHEoGUNH7w5lfhpNIJHilrz9eXHUc3x9OwSt9A6C0NBc7FlGTJBEEQRA7hLFRq9VQKpVQqVQcD0RUSysPJuHDn8/D29ESe9/oCzNuevpQdDoBg77+E5eyCvBWZCtM6RcgdiSiRsOQz2/+hiKiR1am1WHp3R3fX+rtz+LnEUilEv34qeUHklBSVv3yHUT0aPhbioge2U+JGUjPvwMnGwXGhHmJHafRe6K9O7wcLJFXpMEPx1PFjkPUJLEAIqJHotMJWLLvGgDghZ4+sDCXiZyo8TOTSfHv3n4AgO/2XUeZVidyIqKmhwUQET2SPy5m40p2IWwVZni2awux4zQZYzp5o5m1HOn5d/DrmZtixyFqclgAEdEjWX53uvbT4c1hZ8EZS3XFwlyGid19AFQsLsn5KkR1iwUQET20CzfVOHQtDzKpBBPuflhT3XkmvDnkZlKcTlMhIeW22HGImhQWQET00Fbc7f0ZGOwGT3tLkdM0Pc1sFBgR6gkAWH4gWdwwRE0MCyAieii5haXYlpgBAHihh6/IaZquqJ4+AIDfzt5E2u1iccMQNSEsgIjooXx/OAWach1CvO3Rsbm92HGarCA3O/QIaAadAKyOvyF2HKImgwUQERmstFyLNXc3PX2hhw+3vahnL/as6GFbfzQFRaXlIqchahpYABGRwXacuoncwlK42VlgcDt3seM0eX1busDXyRoFJeXYnJAmdhyiJoEFEBEZRBAE/dT3Cd1bwJzbXtQ7qVSCqB4+AIAVB5Oh03FKPNGj4m8uIjLIkaRbOJehhoW5FOM7Nxc7jskY1dELdhZmSMotwt5L2WLHIWr0WAARkUGWH6jo/RnZ0QsO1nKR05gOa4UZxnepKDgre+CI6OGxACKiWkvPv4M9F7IAAFFc+LDBTejuA6kEOHg1D1ezC8SOQ9SosQAiolpbfyQFOgHo5tcMga62YscxOZ72lujf2hUAsPZwishpiBo3FkBEVCuach02HKv40H2uGzc9Fctzdzec3XwiDcUaToknelgsgIioVnaey0RuoQaudgo83sZV7Dgmq2eAE3yaWaGgtBzb767ETUSGYwFERLWy9u4qxOO7NOfUdxFJpRI8e7cXaE38De4ST/SQ+FuMiB7oYqYaR5NvQSaV6GcikXhGh3lBYSbF+ZtqJKTkix2HqFFiAURED7T27rYXkW1d4WpnIXIasreSY2iIB4C/vjZEZBgWQER0XwUlZdiakA4A+ksvJL7Kgei/nK7YloSIDMMCiIjua+vJdBRptPB3tkY3v2Zix6G72nvZI8RLCY1Whx+Op4odh6jRYQFERDUSBAFr7g5+fq5rC+76bmSe6+YDAPj+cAq03B+MyCAsgIioRkeSbuFKdiGs5DKMDPMSOw79wxPt3WFvZY70/DuI4/5gRAZhAURENVp/tGLhw2GhHrCzMBc5Df2ThbkMY+4WppVfKyKqHRZARFSt20Ua/HYmEwDwdBcOfjZW4+4uS/DHxWzcVN0ROQ1R48ECiIiqteVkOjRaHdp62KGdl1LsOFQDf2cbdPF1hE4AfjyeJnYcokaDBRAR3UMQBGy4e0llHBc+NHrju3gDADYeS+VgaKJaYgFERPc4ceM2rmQXwtJchmGhHmLHoQcYFOwOpWXFYOg/r+SIHYeoUWABRET3WH+0Yl2ZJ9q7c/BzI2BhLsOIDp4AgA1HuSYQUW2wACKiKlR3yvDLmYpdxnn5q/Go3KNtz4UsZBeUiJyGyPgZRQG0aNEi+Pj4wMLCAuHh4Th69GiNbbds2YJOnTrB3t4e1tbWCA0NxZo1a6q0EQQBM2fOhLu7OywtLREREYErV67U98sgahK2J6ajpEyHVq626NjcXuw4VEut3Cq+XuU6AZtOcDA00YOIXgBt3LgR0dHRmDVrFhISEhASEoLIyEhkZ1e/qJejoyPee+89xMfH4/Tp04iKikJUVBR27dqlbzNv3jwsWLAAS5YswZEjR2BtbY3IyEiUlPCvIqL7EQQB645UDn725srPjUxlj93GY6nQcTA00X1JBEEQ9ackPDwcnTt3xsKFCwEAOp0O3t7emDZtGqZPn16rc3Ts2BFDhgzB7NmzIQgCPDw88MYbb+DNN98EAKhUKri6umLlypUYN27cA8+nVquhVCqhUqlgZ2f38C+OqJFJTM3H8EUHoTCT4si7/WFvJRc7EhmgWFOO8E9jUVBaju//FY4eAU5iRyJqUIZ8fovaA6TRaHDixAlEREToj0mlUkRERCA+Pv6BjxcEAbGxsbh06RJ69+4NAEhKSkJmZmaVcyqVSoSHh9d4ztLSUqjV6io3IlNUOfV9cDt3Fj+NkJXcDMM6VMza48rQRPcnagGUm5sLrVYLV1fXKsddXV2RmZlZ4+NUKhVsbGwgl8sxZMgQfPPNN3j88ccBQP84Q84ZExMDpVKpv3l7ez/KyyJqlIpKy/HTqbuDnzvzZ6CxGte54jLYrnOZuFWkETkNkfESfQzQw7C1tUViYiKOHTuGTz/9FNHR0YiLi3vo882YMQMqlUp/S03lNFIyPb+cuYlijRa+Ttbo4usodhx6SMGeSgR72qFMK2B7YrrYcYiMlqgFkJOTE2QyGbKysqocz8rKgpubW42Pk0qlCAgIQGhoKN544w2MHj0aMTExAKB/nCHnVCgUsLOzq3IjMjU/Hq8o/Md08uLg50buqU5/rQwt8jBPIqMlagEkl8sRFhaG2NhY/TGdTofY2Fh069at1ufR6XQoLS0FAPj6+sLNza3KOdVqNY4cOWLQOYlMyfWcQhxLvg2pBBjV0UvsOPSIhoZ4QG4mxcXMApzL4JhGouqYiR0gOjoaEydORKdOndClSxfMnz8fRUVFiIqKAgBMmDABnp6e+h6emJgYdOrUCf7+/igtLcWvv/6KNWvW4NtvvwUASCQSvP766/jkk08QGBgIX19ffPDBB/Dw8MDw4cPFeplERu3Hu+vG9G3lAlc7C5HT0KOyt5Ijsq0bfj6VgR+OpyLYk5vZEv2T6AXQ2LFjkZOTg5kzZyIzMxOhoaHYuXOnfhBzSkoKpNK/OqqKiorwyiuvIC0tDZaWlggKCsLatWsxduxYfZu3334bRUVFeOmll5Cfn4+ePXti586dsLDgL3aifyrX6rD5bgH0VCf2/jQVT3Xyws+nMrDtZDreHdwaFuYysSMRGRXR1wEyRlwHiEzJHxez8MLK43C0luPwjP6QmzXKuRH0DzqdgF7z9iI9/w4WjO+AoSHc1JaavkazDhARie+HYxW9PyM6eLL4aUKkUglGh1X06FUOcCeiv/C3HZEJyyssxZ4LFTMmK2cOUdNRWQAduJqLtNvFIqchMi4sgIhM2NaT6SjXCQjxUqKVm63YcaiOeTtaoUdAMwgCsPkE1wQi+jsWQEQmShAE/KBf+4e9P01VZc/ejye4QSrR37EAIjJRp9NUuJxVCIWZFE9ygGyTFdnWDbYWZki7fQeHr+eJHYfIaLAAIjJRP56o6P0ZGOwGpaW5yGmovliYyzAstKLA/YGDoYn0WAARmaCSMi1+SqzY+HRMGC9/NXWj736Nd57LREFJmchpiIwDCyAiE7TnQhbUJeXwUFqgm38zseNQPQvxUiLAxQYlZTr8euam2HGIjAILICITtOnuys8jO3pBJuXGp02dRCLR7/FW+bUnMnUsgIhMTLa6BPsv5wAARnb0FDkNNZQRHTwhlQDHkm8jObdI7DhEomMBRGRitp5Mh04Awlo4wM/ZRuw41EDclBboFegMANiSwF4gIhZARCZEEAT9JZDKVYLJdIy6+zXfnJDONYHI5LEAIjIhZ9JVuJJdsfbPkPbuYsehBjagjStsLcyQnn8Hh5O4JhCZNoMLoBUrVqC4mHvKEDVGlb0/kW3dYGfBtX9MjYW5TL/oJQdDk6kzuACaPn063Nzc8OKLL+LQoUP1kYmI6kFpuRY/napY+4eXv0xX5WywnWczUVRaLnIaIvEYXAClp6dj1apVyM3NRd++fREUFIS5c+ciMzOzPvIRUR3540I28ovL4GZngR4BTmLHIZF0bG4PPydrFGu0XBOITJrBBZCZmRlGjBiB7du3IzU1FZMmTcL333+P5s2bY+jQodi+fTt0Ol19ZCWiR1B5yWNER0+u/WPCJBKJfjA0L4ORKXukQdCurq7o2bMnunXrBqlUijNnzmDixInw9/dHXFxcHUUkokeVU1CKuLtr/1ReAiHTNaKDJyQS4EjSLaTe4phOMk0PVQBlZWXh888/R9u2bdG3b1+o1Wrs2LEDSUlJSE9Px1NPPYWJEyfWdVYiekg/ncqAVicgxNseAS5c+8fUedhbood/xWXQrSfTRU5DJA6DC6Ann3wS3t7eWLlyJSZNmoT09HSsX78eERERAABra2u88cYbSE3lrsNExqJy4bvRXPmZ7qpcBXxLQhoEgWsCkekxM/QBLi4u2LdvH7p161ZjG2dnZyQlJT1SMCKqGxcz1TiXoYa5TIIn2nuIHYeMRGRbN1jJzyI5rxgJKfkIa+EgdiSiBmVwD1CfPn3QsWPHe45rNBqsXr0aQMUguxYtWjx6OiJ6ZFsSKi5xPBbkAgdruchpyFhYK8wwKLhiMczN3BqDTJDBBVBUVBRUKtU9xwsKChAVFVUnoYiobpRrdfoxHiM5+Jn+YdTdy2A7TmWgpEwrchqihmVwASQIAiSSe6fQpqWlQalU1kkoIqobB6/lIaegFA5W5ujXykXsOGRkuvo1g4fSAuqScvxxMVvsOEQNqtZjgDp06ACJRAKJRIL+/fvDzOyvh2q1WiQlJWHgwIH1EpKIHk7l4OehIR6Qm3HrP6pKKpVgeAdPLI67hi0JaRjcjvvDkemodQE0fPhwAEBiYiIiIyNhY/PXVFq5XA4fHx+MGjWqzgMS0cMpKCnDrnMVK7Tz8hfVZGTHigIo7lIOcgtL4WSjEDsSUYOodQE0a9YsAICPjw/Gjh0LCwuLegtFRI/ut7OZKCnTwd/ZGu29eHmaqhfgYosQLyVOpanw86kMRPXwFTsSUYMwuE984sSJLH6IGoHKy18jO3pVO26PqFJlD2HljEEiU1CrAsjR0RG5ubkAAAcHBzg6OtZ4IyLxpd4qxuHrtyCRAMM7cPFDur8nQzxgLpPgTLoKl7MKxI5D1CBqdQnsq6++gq2trf7/+dckkXHbdnfqeze/ZvC0txQ5DRk7R2s5+rVywe/ns7A5IQ0zBrUWOxJRvatVAfT3fb2ef/75+spCRHVAEAT92j8j2PtDtTSyoxd+P5+F7Scz8HZkEGRS/qFLTZvBY4ASEhJw5swZ/b+3b9+O4cOH491334VGo3moEIsWLYKPjw8sLCwQHh6Oo0eP1th26dKl6NWrFxwcHODg4ICIiIh72j///PP6KfuVN07RJ1ORmJqP67lFsDCXYhCnNVMt9QtyhtLSHJnqEsRfyxM7DlG9M7gA+ve//43Lly8DAK5fv46xY8fCysoKP/74I95++22DA2zcuBHR0dGYNWsWEhISEBISgsjISGRnV78oV1xcHMaPH4+9e/ciPj4e3t7eGDBgANLTqw7eGzhwIG7evKm/rV+/3uBsRI1RZe/PwLZusFEYvN0fmSiFmQxPtK8omLec5NYY1PQZXABdvnwZoaGhAIAff/wRffr0wbp167By5Ups3rzZ4ABffvklJk2ahKioKLRp0wZLliyBlZUVli9fXm3777//Hq+88gpCQ0MRFBSE//u//4NOp0NsbGyVdgqFAm5ubvqbgwM3+qOmT1Ouw0+nMgAAI7j2DxmocjbYzrOZKNaUi5yGqH491FYYOp0OALBnzx4MHjwYAODt7a2fKVZbGo0GJ06cQERExF+BpFJEREQgPj6+VucoLi5GWVnZPTPQ4uLi4OLiglatWmHy5MnIy2OXLjV9cZeykV9cBhdbBXr4NxM7DjUyHZvbw6eZFYo1Wv0imkRNlcEFUKdOnfDJJ59gzZo12LdvH4YMGQIASEpKgqurq0Hnys3NhVarvedxrq6uyMys3Q/fO++8Aw8PjypF1MCBA7F69WrExsZi7ty52LdvHwYNGgSttvrN/kpLS6FWq6vciBqjynVchoV6wEzGrS/IMBKJBCM6cE0gMg0GDxCYP38+nnnmGWzbtg3vvfceAgICAACbNm1C9+7d6zzg/cyZMwcbNmxAXFxclcUZx40bp///du3aoX379vD390dcXBz69+9/z3liYmLw0UcfNUhmovqiKi7Tb2hZ+SFGZKgRHTzx1Z7LOHg1F1nqErjaceFbapoM/hOxffv2OHPmDFQqlX57DAD47LPPsGrVKoPO5eTkBJlMhqysrCrHs7Ky4Obmdt/Hfv7555gzZw5+//13tG/f/r5t/fz84OTkhKtXr1Z7/4wZM6BSqfS31NRUg14HkTHYcSYDGq0OQW62aONhJ3YcaqSaN7NCpxYO0AnA9kT2AlHT9dB95BqNBmlpaUhJSUFKSgqys7Nx8+ZNg84hl8sRFhZWZQBz5YDmbt261fi4efPmYfbs2di5cyc6der0wOdJS0tDXl4e3N2rnxKsUChgZ2dX5UbU2FReshjZkWv/0KPh1hhkCh5qFlivXr1gaWmJFi1awNfXF76+vvDx8YGvr+Gb6EVHR2Pp0qVYtWoVLly4gMmTJ6OoqAhRUVEAgAkTJmDGjBn69nPnzsUHH3yA5cuXw8fHB5mZmcjMzERhYSEAoLCwEG+99RYOHz6M5ORkxMbGYtiwYQgICEBkZKTB+Ygagxt5RThx4zakEmBYKAsgejRD2rlDLpPiYmYBzmdwTCQ1TQaPAYqKioKZmRl27NgBd3f3R94WY+zYscjJycHMmTORmZmJ0NBQ7Ny5Uz8wOiUlBVLpX3Xat99+C41Gg9GjR1c5z6xZs/Dhhx9CJpPh9OnTWLVqFfLz8+Hh4YEBAwZg9uzZUCgUj5SVyFhV/qXeI8CJYzbokSmtzNG/tQt+O5uJLQlpaOPRRuxIRHVOIgiCYMgDrK2tceLECQQFBdVXJtGp1WoolUqoVCpeDiOjJwgC+nwWh5RbxZg/NpSbn1Kd2H0+C5NWH4ezrQLx0x/jrEJqFAz5/Db4O7pNmzYGr/dDRPXnxI3bSLlVDCu5DAPaGrYUBVFN+rR0hqO1HDkFpThwlb/zqekxuACaO3cu3n77bcTFxSEvL4/r5xCJbMvdrS8GBbvDSs6tL6huyM2kePLu1hiV26sQNSUG/7asXHDwn+vpCIIAiURS42KDRFT3Ssu12HF36wvO/qK6NqKjF1bF38Cuc5koLC3n3nLUpBj83bx37976yEFED+GPC9lQl5TDzc4CXf249QXVrRAvJfycrHE9twi/nbmJMZ28xY5EVGcMLoD69OlTHzmI6CFUXv4a3sETMumjzcgk+ieJRIKRHT3x+e+XsfVkOgsgalIealj/n3/+iWeffRbdu3dHenrFL+A1a9bgwIEDdRqOiGp2q0iDvXe3vuDlL6ovletKxV/PQ0b+HZHTENUdgwugzZs3IzIyEpaWlkhISEBpaSkAQKVS4b///W+dBySi6u04nYFynYBgTzu0dLUVOw41Ud6OVgj3dYQgANu4NQY1IQYXQJ988gmWLFmCpUuXwtzcXH+8R48eSEhIqNNwRFSzzXcXP+TGp1TfKnsYtySkw8Cl44iMlsEF0KVLl9C7d+97jiuVSuTn59dFJiJ6gGs5hTiVmg+ZVIKhIR5ix6EmblA7dyjMpLiaXYiz6VzuhJoGgwsgNze3andVP3DgAPz8/OokFBHd37a7g597BzrB2ZZbvFD9srMwx+NtKhbZ3HIyTeQ0RHXD4AJo0qRJeO2113DkyBFIJBJkZGTg+++/x5tvvonJkyfXR0Yi+hudTtDv/TWiIy9/UcOovAz2U2IGyrQ6kdMQPTqDp8FPnz4dOp0O/fv3R3FxMXr37g2FQoE333wT06ZNq4+MRPQ3x5JvIT3/DmwVZhjQhltfUMPoFegMJxs5cgs1+PNKDh4L4vceNW4G9wBJJBK89957uHXrFs6ePYvDhw8jJycHs2fPro98RPQPlb0/g9q5wcJcJnIaMhXmMimevDverHIAPlFj9lDrAAmCALVaDVdXV3Tp0gU2NjZ1nYuIqlFSpsWvZ24C4Owvanij7l5y3X0+C6o7ZSKnIXo0BhVAmZmZmDBhAhwcHODq6goXFxc4ODjghRdeQFZWVn1lJKK7fj+fhYLScnjaWyLc11HsOGRi2nrYoaWrDTTlOn0hTtRY1XoMkFqtRvfu3VFYWIioqCgEBQVBEAScP38e69evx4EDB5CQkMDeIKJ6tCWhYgbOyI6ekHLrC2pgFVtjeGHObxexJSEN47s0FzsS0UOrdQH09ddfQyaT4dy5c3B2dq5y3/vvv48ePXpgwYIFePfdd+s8JBEB2QUl2H85BwAwogO3viBxDA/1xNydF3Es+TZu5BWhRTNrsSMRPZRaXwL75Zdf8O67795T/ACAi4sLZsyYgZ9//rlOwxHRX35KzIBOADo0t4efM3taSRxuSgv0DHACAGw9ycHQ1HjVugC6fPkyunfvXuP93bt3x6VLl+okFBHdq3LmzUiu/UMi49YY1BTUugBSq9Wwt7ev8X57e3uo1Vwinag+nM9Q48JNNeQyKZ5s7y52HDJxkW3dYC2XIeVWMU7cuC12HKKHUusCSBAESKU1N5dIJPxLgKiebL27/UD/1i6wt5KLnIZMnZXcDIPaVRTiXBOIGqtaD4IWBAEtW7aERFL9zBMWP0T1o1yrw7bEDAC8/EXGY2RHT2w6kYYdpzMw68k2XJSTGp1aF0ArVqyozxxEVIMDV3ORU1AKR2s5+rS8dxICkRi6+jaDh9ICGaoSxF7IxhBemqVGptYF0MSJE+szBxHVoHLri6EhHpCbPdTi7UR1TiqVYERHTyzaew1bEtJYAFGjw9+mREZMXVKGXecyAfw184bIWFReko27nIOcglKR0xAZhgUQkRH79fRNlJbrEOBig3aeSrHjEFXh72yDUG97aHUCtidyMDQ1LiyAiIzY5rtbX4zq6FXjBAQiMY262zPJ2WDU2LAAIjJSyblFOJZ8G1IJt74g4/VkiAfkMiku3FTjXIZK7DhEtWZwAbR37976yEFE/1C58WnPQGe4KS1ETkNUPXsrOSLauAAANp9gLxA1HgYXQAMHDoS/vz8++eQTpKam1kcmIpOn0wn6SwqjOPiZjNyou4Ohtyemo0yrEzkNUe0YXAClp6dj6tSp2LRpE/z8/BAZGYkffvgBGo2mPvIRmaQjSbeQnn8HtgozRLZ1EzsO0X31bukMJxsF8oo02HcpR+w4RLVicAHk5OSE//znP0hMTMSRI0fQsmVLvPLKK/Dw8MCrr76KU6dO1UdOIpOy6UTF5a8nQty5wi4ZPXOZFMNDPQD89b1LZOweaRB0x44dMWPGDEydOhWFhYVYvnw5wsLC0KtXL5w7d67W51m0aBF8fHxgYWGB8PBwHD16tMa2S5cuRa9eveDg4AAHBwdERETc014QBMycORPu7u6wtLREREQErly58tCvk6ghFZWW47ezNwEAo8O49QU1DqPufq/GXszC7SJeESDj91AFUFlZGTZt2oTBgwejRYsW2LVrFxYuXIisrCxcvXoVLVq0wJgxY2p1ro0bNyI6OhqzZs1CQkICQkJCEBkZiezs7Grbx8XFYfz48di7dy/i4+Ph7e2NAQMGID39r8F38+bNw4IFC7BkyRIcOXIE1tbWiIyMRElJycO8XKIG9dvZTBRrtPB1skbH5g5ixyGqldbudmjrYYcyrYCfTmWIHYfowQQDTZ06VWjWrJng6OgovPbaa8KZM2fuaXPz5k1BIpHU6nxdunQRpkyZov+3VqsVPDw8hJiYmFo9vry8XLC1tRVWrVolCIIg6HQ6wc3NTfjss8/0bfLz8wWFQiGsX7++VudUqVQCAEGlUtWqPVFdGvddvNDinR3Cgj2XxY5CZJBlf14XWryzQ3jymz/FjkImypDPb4N7gM6fP49vvvkGGRkZmD9/PoKDg+9p4+TkVKvp8hqNBidOnEBERIT+mFQqRUREBOLj42uVp7i4GGVlZXB0dAQAJCUlITMzs8o5lUolwsPDazxnaWkp1Gp1lRuRGNJuFyP+eh4kEmAkL39RIzMs1ANmUglOp6lwOatA7DhE92VwATRr1iyMGTMGCoWiyvHy8nLs378fAGBmZoY+ffo88Fy5ubnQarVwdXWtctzV1RWZmZm1yvPOO+/Aw8NDX/BUPs6Qc8bExECpVOpv3t7etXpuorpWufFpN79m8LS3FDkNkWGa2SjQL6hyTSAOhibjZnAB1K9fP9y6deue4yqVCv369auTULU1Z84cbNiwAVu3boWFxcMvFDdjxgyoVCr9jesbkRgEQaiy9QVRY1T5vbvlZDrKuSYQGTGDCyBBEKrdkygvLw/W1tYGncvJyQkymQxZWVlVjmdlZcHN7f5rn3z++eeYM2cOfv/9d7Rv315/vPJxhpxToVDAzs6uyo2ooR1NuoUbecWwlsswqB3X/qHG6bEgFzhay5FTUIr9V7gmEBkvs9o2HDlyJABAIpHg+eefr3IJTKvV4vTp0+jevbtBTy6XyxEWFobY2FgMHz4cAKDT6RAbG4upU6fW+Lh58+bh008/xa5du9CpU6cq9/n6+sLNzQ2xsbEIDQ0FAKjVahw5cgSTJ082KB9RQ/qxcu2f9h6wktf6R5PIqMjNpBge6onlB5Pw4/E0PBbk+uAHEYmg1r9llUolgIoeIFtbW1ha/jU+QS6Xo2vXrpg0aZLBAaKjozFx4kR06tQJXbp0wfz581FUVISoqCgAwIQJE+Dp6YmYmBgAwNy5czFz5kysW7cOPj4++nE9NjY2sLGxgUQiweuvv45PPvkEgYGB8PX1xQcffAAPDw99kUVkbApLy/HL6Yq1f57qzMtf1Lg91dkLyw8mYc+FLNwq0sDRWi52JKJ71LoAWrFiBQDAx8cHb775psGXu2oyduxY5OTkYObMmcjMzERoaCh27typH8SckpICqfSvK3XffvstNBoNRo8eXeU8s2bNwocffggAePvtt1FUVISXXnoJ+fn56NmzJ3bu3PlI44SI6tOvp2/iTpkWfs5c+4cavyA3O7TzVOJMugrbTqbjhZ6+YkciuodEEARB7BDGRq1WQ6lUQqVScTwQNYgxSw7hWPJtvD2wFV7pGyB2HKJHtjo+GTO3n0OQmy1+e61XtWNHieqaIZ/fteoB6tixI2JjY+Hg4IAOHTrc9xs5ISHBsLREJu56TiGOJd+GVMLZX9R0DA3xwCe/XMDFzAKcy1Aj2FMpdiSiKmpVAA0bNkw/6JnjaIjqVuXmkX1aOsPVjpdpqWmwt5JjQBtX7Dh9Ez8eT2UBREaHl8CqwUtg1FC0OgHd58QiS12Kxc90xOB27mJHIqoz+y7nYOLyo1BamuPIu/1hYS4TOxI1cYZ8fj/SbvBE9Gj2X8lBlroUDlbm6N/aRew4RHWqZ4AT3JUWUN0pw54LWQ9+AFEDqtUlMAcHh1oPYKtulWgiqt6m4xWXv4aFekJhxr+OqWmRSSUY1dELC/dexQ/H0/BEew+xIxHp1aoAmj9/fj3HIDI9t4s02H2+4q/ipzpx/zlqmkaHVRRAf17JQUb+HXhwjzsyErUqgCZOnFjfOYhMzvbEdGi0OrT1sEMbD441o6bJx8kaXXwdcTTpFjafSMO0/oFiRyICUMsxQGq1usr/3+9GRA8mCAI2HKvYdHdsZ/b+UNM29m4P5w8nUqHTcd4NGYdaFUAODg7Izs4GANjb28PBweGeW+VxInqw02kqXMwsgMJMimEhnmLHIapXg9u5w1ZhhtRbdxB/PU/sOEQAankJ7I8//oCjoyMAYO/evfUaiMgUVPb+DG7nDqWVuchpiOqXpVyGYR08sPZwCjYcS0WPACexIxHVrgDq06dPtf9PRIYrKi3HT4npAHj5i0zHuM7NsfZwCnadzcTtIg0cuEEqiazWm6H+3e3bt7Fs2TJcuHABANCmTRtERUXpe4mIqGa/nLmJIo0WPs2sEO7LnxkyDcGeSrT1sMO5DDW2coNUMgIGL4S4f/9++Pj4YMGCBbh9+zZu376NBQsWwNfXF/v376+PjERNykb94Ofm3CCSTMq4uz2eG4+lgpsQkNgMLoCmTJmCsWPHIikpCVu2bMGWLVtw/fp1jBs3DlOmTKmPjERNxpWsApy4cbtigbgwDn4m0zI01BMKMykuZRUgMTVf7Dhk4gwugK5evYo33ngDMtlfq9bKZDJER0fj6tWrdRqOqKmp7P3pH+QCF1tufEqmRWlpjiF397ur/FkgEovBBVDHjh31Y3/+7sKFCwgJCamTUERNUWm5FltOVgx+HteFg5/JNFUO/P/pVAYKS8tFTkOmrFaDoE+fPq3//1dffRWvvfYarl69iq5duwIADh8+jEWLFmHOnDn1k5KoCdhzPhu3ijRws7NA70BnseMQiaKLryN8nayRlFuEX05nYGzn5mJHIhMlEWoxEk0qlUIikTxw0JpEIoFWq62zcGJRq9VQKpVQqVSws+MWBVQ3nlt2BH9eycW0xwLwxoBWYschEs2Sfdcw57eLCPW2x7YpPcSOQ02IIZ/fteoBSkpKqpNgRKYq9VYxDlzNBQCMCePlLzJtozp64fNdl5CYmo+LmWoEufEPTWp4tSqAWrRoUd85iJq09UdTIAhAr0AnNG9mJXYcIlE52yrweBtX/HY2E+uOpODjYcFiRyIT9FALIQLA+fPnkZKSAo1GU+X40KFDHzkUUVOiKdfhh+MVM16eCed4ByIAeDq8OX47m4mtCemYPigIVvKH/jgieigGf8ddv34dI0aMwJkzZ6qMC6pc0K0pjAEiqku7z2cht1ADF1sF+rd2FTsOkVHo4e+EFs2scCOvGD+f4mBoangGT4N/7bXX4Ovri+zsbFhZWeHcuXPYv38/OnXqhLi4uHqISNS4rTt6A0DF9F9zmcE/ckRNklQqwfguFUXPuiMpIqchU2Twb+P4+Hh8/PHHcHJyglQqhVQqRc+ePRETE4NXX321PjISNVpJuUU4eDUPEgk3PiX6p9FhXjCXSXAqTYWz6Sqx45CJMbgA0mq1sLW1BQA4OTkhIyMDQMVA6UuXLtVtOqJGbv3Rir9s+7Z0hpcDBz8T/Z2TjQKRbd0AAOuOsheIGpbBBVBwcDBOnToFAAgPD8e8efNw8OBBfPzxx/Dz86vzgESNVWm5FptOpAEAngnnTEqi6lT+bGw/mc6VoalBGVwAvf/++9DpdACAjz/+GElJSejVqxd+/fVXLFiwoM4DEjVWO89m4laRBu5KC/RtxZWfiarT1c8Rfs7WKNJosT0xXew4ZEIMngUWGRmp//+AgABcvHgRt27dgoODg34mGBEB398d2Dm2szfMOPiZqFoSiQRPd2mOT365gHVHUvB0l+b8LKEG8Ui/lVNTU5GamgpHR0d+wxL9zdXsAhxNugUpBz8TPdCojl6Qm0lxLkON02kcDE0Nw+ACqLy8HB988AGUSiV8fHzg4+MDpVKJ999/H2VlZfWRkajRWXu4ovfnsSBXuCstRU5DZNwcrOUY0s4dALD28A2R05CpMLgAmjZtGv73v/9h3rx5OHnyJE6ePIl58+Zh2bJlnAZPBKCotByb7w5+fq4bBz8T1cazXSvWBPrpVAZuF2ke0Jro0Rk8BmjdunXYsGEDBg0apD/Wvn17eHt7Y/z48fj222/rNCBRY7MtMR0FpeXwaWaFXgFOYschahQ6NndAWw87nMtQ48cTqXipt7/YkaiJM7gHSKFQwMfH557jvr6+kMvlBgdYtGgRfHx8YGFhgfDwcBw9erTGtufOncOoUaPg4+MDiUSC+fPn39Pmww8/hEQiqXILCgoyOBfRwxAEAasPVXThP9fNB1Ipx8YR1YZEIsGEuz2maw7fgFYniJyImjqDC6CpU6di9uzZKC0t1R8rLS3Fp59+iqlTpxp0ro0bNyI6OhqzZs1CQkICQkJCEBkZiezs7GrbFxcXw8/PD3PmzIGbm1uN523bti1u3rypvx04cMCgXEQP62jSLVzKKoCluQyjw7zEjkPUqAwN8YTS0hypt+5g3+XqPweI6kqtLoGNHDmyyr/37NkDLy8vhISEAABOnToFjUaD/v37G/TkX375JSZNmoSoqCgAwJIlS/DLL79g+fLlmD59+j3tO3fujM6dOwNAtfdXMjMzu2+BRFRfVt8dwDm8gweUluYipyFqXCzlMjzVyQtL/0zC6vgbeCyImwdT/alVAaRUKqv8e9SoUVX+7e1t+DRfjUaDEydOYMaMGfpjUqkUERERiI+PN/h8f3flyhV4eHjAwsIC3bp1Q0xMDJo3r3mn4dLS0io9Wmq1+pGen0xTlroEu85mAgCe6+ojbhiiRurZri3wfweSEHcpB8m5RfBxshY7EjVRtSqAVqxYUedPnJubC61WC1fXqhW+q6srLl68+NDnDQ8Px8qVK9GqVSvcvHkTH330EXr16oWzZ8/q9zD7p5iYGHz00UcP/ZxEQMWO1uU6AZ19HNDGw07sOESNUotm1ujT0hlxl3Kw9vANvP9EG7EjURP10Ash5uTk4MCBAzhw4ABycnLqMtMjGTRoEMaMGYP27dsjMjISv/76K/Lz8/HDDz/U+JgZM2ZApVLpb6mpqQ2YmJoCTblOv5njc918xA1D1MhNvPsz9MPxVNzRaMUNQ02WwQVQUVERXnjhBbi7u6N3797o3bs3PDw88OKLL6K4uLjW53FycoJMJkNWVlaV41lZWXU6fsfe3h4tW7bE1atXa2yjUChgZ2dX5UZkiF3nMpFTUAonGwUGtuX4M6JH0aelM5o7WkFdUs79wajeGFwARUdHY9++ffj555+Rn5+P/Px8bN++Hfv27cMbb7xR6/PI5XKEhYUhNjZWf0yn0yE2NhbdunUzNFaNCgsLce3aNbi7u9fZOYn+aU18xeDnp8ObQ27Gfb+IHoVUKtEvjLg6/gYEgVPiqe4Z/Jt68+bNWLZsGQYNGqTvLRk8eDCWLl2KTZs2GXSu6OhoLF26FKtWrcKFCxcwefJkFBUV6WeFTZgwocogaY1Gg8TERCQmJkKj0SA9PR2JiYlVenfefPNN7Nu3D8nJyTh06BBGjBgBmUyG8ePHG/pSiWrlXIYKR5NvQSat2NSRiB7dU528YWEuxfmbahxLvi12HGqCDF4Juri4+J6BywDg4uJi0CUwABg7dixycnIwc+ZMZGZmIjQ0FDt37tSfPyUlBVLpXzVaRkYGOnTooP/3559/js8//xx9+vRBXFwcACAtLQ3jx49HXl4enJ2d0bNnTxw+fBjOzs6GvlSiWll+IBkAMLidO9yUFuKGIWoi7K3kGNHBC+uPpmD5gSR08XUUOxI1MRLBwL7F/v37o1mzZli9ejUsLCp+2d+5cwcTJ07ErVu3sGfPnnoJ2pDUajWUSiVUKhXHA9F9ZReUoOecvdBoddj6Snd0aO4gdiSiJuNKVgEe/2o/pBJg31v94O1oJXYkMnKGfH4b3AM0f/58DBw48J6FEC0sLLBr166HS0zUSH1/OAUarQ4dmtuz+CGqY4GutugV6IQ/r+Ri1aFkTomnOmXwGKB27drhypUriImJQWhoKEJDQzFnzhxcuXIFbdu2rY+MREappEyL749UDH5+oYevyGmImqYXelb8bG08lorC0nKR01BTYlAPUFlZGYKCgrBjxw5MmjSpvjIRNQo/n8pAbqEG7koLDAzm1Hei+tAn0Bl+zta4nlOETcdT8Tz/2KA6YlAPkLm5OUpKSuorC1GjIQgClh9MBgBM6OYDcxmnvhPVB6lUgqjuPgCAFYeSoeMu8VRHDP6tPWXKFMydOxfl5eyKJNN1+PotXLiphoW5FOO7GL4XHhHV3siOXrCzMMONvGL8cZG7xFPdMHgQ9LFjxxAbG4vff/8d7dq1g7V11Y3qtmzZUmfhiIzV8oNJAIBRHb1gbyUXOQ1R02atMMP4Ls3x3f7rWH4wCRFtuEs8PTqDCyB7e/t7doMnMiU38oqw50LFFi5RPXzEDUNkIiZ098H/HUjCoWt5uHBTjdbuXKKEHo3BBVB97AxP1JisOJgMQajYryjAxVbsOEQmwdPeEgPbuuGXMzex7EASPh8TInYkauRqPQZIp9Nh7ty56NGjBzp37ozp06fjzp079ZmNyOjcLtJg47FUAMCLPTkbhaghvdir4mdue2I6MlWckEOPptYF0Keffop3330XNjY28PT0xNdff40pU6bUZzYio7P28A3cKdOijbsdegU6iR2HyKR0bO6ALj6OKNMKWHEoSew41MjVugBavXo1Fi9ejF27dmHbtm34+eef8f3330On09VnPiKjUVKmxcpDyQCAf/fxg0QiETcQkQl6qbcfAGDd4RSoS8pETkONWa0LoJSUFAwePFj/74iICEgkEmRkZNRLMCJjs+lEGvKKNPC0t8Tgdu5ixyEySY8FuSDAxQYFpeVYfyRF7DjUiNW6ACovL9dvflrJ3NwcZWWswKnp0+oELP3zOgDgX718ufAhkUikUom+F2j5wSRoynkVgh5OrWeBCYKA559/HgqFQn+spKQEL7/8cpW1gLgOEDVFv5/LxI28YigtzfFUJy58SCSmYaEe+OL3S8hSl2J7YjrG8GeSHkKtC6CJEyfec+zZZ5+t0zBExkgQBCzZdw0AMKFbC1grDF49gojqkMJMhhd6+CLmt4v43/7rGNXRC1Ipx+SRYWr9m5zr/5CpOpJ0C6fSVJCbSTHx7p5ERCSu8eHNsfCPq7iSXYi9l7LRvzVXhybDcCAD0QN8d7f3Z3SYF5xsFA9oTUQNwc7CHE+HNwcAfLfvushpqDFiAUR0Hxcz1dh7KQcSCTCpl5/YcYjob6J6+MJcJsHR5Fs4ceOW2HGokWEBRHQfC/+4CgAYFOwGXyfrB7QmoobkprTAyA5eAP76WSWqLRZARDW4llOIX87cBABM7Rcochoiqs7kvv6QSoC9l3JwNl0ldhxqRFgAEdVg0d6rEAQgorUr2nhw52kiY+TjZI1hoZ4AgG/+uCJyGmpMWAARVSMlrxjbEytWOZ/6WIDIaYjofl7p6w+JBNh1LguXMgvEjkONBAsgomp8u+8atDoBvQKdEOptL3YcIrqPQFdbDAp2A1DRc0tUGyyAiP7hpuoONp1IBQC82p9jf4gagyn9Knpqd5zOwPWcQpHTUGPAAojoH77bdx1lWgHhvo7o7OModhwiqoW2Hkr0D3KBTgAWx10TOw41AiyAiP4mu6AE649W7DA97TH2/hA1JpXj9baeTEfqrWKR05CxYwFE9Df/92cSSst16NDcHj0Cmokdh4gM0KG5A3oFOkGrE/DtPvYC0f2xACK6K7ugBKvjkwEA0x4LgETCzRWJGpvKntsfj6eyF4juiwUQ0V2L915DSVlF70+/Vi5ixyGih9DF1xG9Ap1QphWwIJbrAlHNWAARAcjIv4N1RyrG/rw5oBV7f4gasejHWwIANiekcUYY1YgFEBGAb/64Co1Wh65+jujuz7E/RI1Zh+YOiGhdMSNs/h72AlH1RC+AFi1aBB8fH1hYWCA8PBxHjx6tse25c+cwatQo+Pj4QCKRYP78+Y98TqIbeUX48XjFuj9vsPeHqEn4z91eoJ9PZ+BiplrkNGSMRC2ANm7ciOjoaMyaNQsJCQkICQlBZGQksrOzq21fXFwMPz8/zJkzB25ubnVyTqKvY6+gXCegd0tnrvtD1ES09VBicDs3CALw1e7LYschIyRqAfTll19i0qRJiIqKQps2bbBkyRJYWVlh+fLl1bbv3LkzPvvsM4wbNw4KhaJOzkmm7Wp2AbadTAcAvHH3L0Yiahr+E9FSv0fYmTTuFE9ViVYAaTQanDhxAhEREX+FkUoRERGB+Pj4Bj1naWkp1Gp1lRuZhq/2XIFOAB5v44oQ7vlF1KQEutpi+N2d4r/YfUnkNGRsRCuAcnNzodVq4erqWuW4q6srMjMzG/ScMTExUCqV+pu3t/dDPT81LucyVPjl9E0Af80aIaKm5bX+gZBJJYi7lINjybfEjkNGRPRB0MZgxowZUKlU+ltqaqrYkagBzPntIgDgyRAPtHa3EzkNEdUHHydrPNXJCwDw318vQBAEkRORsRCtAHJycoJMJkNWVlaV41lZWTUOcK6vcyoUCtjZ2VW5UdO273IO/rySC3OZBG8NaCV2HCKqR/+JaAlLcxlOpuTjt7MPd4WBmh7RCiC5XI6wsDDExsbqj+l0OsTGxqJbt25Gc05qerQ6ATG/XgAATOjmg+bNrERORET1ycXOApN6+wEA5u68CE25TuREZAxEvQQWHR2NpUuXYtWqVbhw4QImT56MoqIiREVFAQAmTJiAGTNm6NtrNBokJiYiMTERGo0G6enpSExMxNWrV2t9TqItCWm4mFkAOwszTLu7ezQRNW3/7u0HJxsFbuQV4/sjN8SOQ0bATMwnHzt2LHJycjBz5kxkZmYiNDQUO3fu1A9iTklJgVT6V42WkZGBDh066P/9+eef4/PPP0efPn0QFxdXq3OSabuj0eKL3yvWBJn6WADsreQiJyKihmCtMMN/Hg/Ee1vPYkHsFYzs6AWlpbnYsUhEEoEjwu6hVquhVCqhUqk4HqiJWbT3Kj7bdQme9paIfaMPLMxlYkciogZSrtUhcv5+XMspwst9/DF9UJDYkaiOGfL5zVlgZDJyC0vxbdw1AMBbka1Y/BCZGDOZFNMHtQYALD+YhPT8OyInIjGxACKTsSD2CgpLyxHsaYehIR5ixyEiEUS0dkEXX0doynX4YhcXRzRlLIDIJFzKLMD3R1IAAO8Obg2plBueEpkiiUSC9wZX9AJtOZmOhJTbIicisbAAoiZPEATM+ukstDoBg4Ld0N3fSexIRCSiEG97jA6rWBzxw5/OQafjUFhTxAKImrxfztzE4eu3oDCT4t27f/kRkWl7e2Ar2CjMcDpNhR+Oc/V/U8QCiJq0Yk05Pv2lYtHDyX394e3IRQ+JCHCxtcDrEYEAgHm7LkF1p0zkRNTQWABRk7Z47zXcVJXAy8ESL/fxFzsOERmRid19EOBig1tFGny1+7LYcaiBsQCiJutGXhH+t/86AOD9IW047Z2IqjCXSfHhk20BAGsO38ClzAKRE1FDYgFETdbsHeeh0erQK9AJkW25EjgR3atnoBMGtnWDVlcxWYJrA5sOFkDUJP1xMQt7LmTDTCrBrCfbQCLhtHciqt57Q1pDYSbF4eu38PPpm2LHoQbCAoianKLScnyw7RwAIKqHDwJcbEVORETGzNvRCq/0rdgY+eOfz0FVzAHRpoAFEDU5X/x+Gen5d+DlYIn/PN5S7DhE1Ai83NcPAS42yC3U4L+/XhA7DjUAFkDUpJxKzcfKQ0kAgE+GB8NKbiZyIiJqDBRmMsSMbAcA2Hg8FfHX8kRORPWNBRA1GWVaHaZvOQOdAAwL9UDfVi5iRyKiRqSzjyOeDm8OAHhv6xmUlGlFTkT1iQUQNRnLDiThwk017K3M8cETbcSOQ0SN0DsDg+Biq8D13CIs2ntV7DhUj1gAUZNwI69Iv5DZe4Nbw8lGIXIiImqMlJbm+GhoxdpA38Zd49pATRgLIGr0BEHAu1vPoLRch+7+zfSbHBIRPYyBwW54vI0rynUCpm85DS03S22SWABRo7f28A0cvJoHhZkU/x3Rjmv+ENEjkUgk+HhYW9gozHAyJV+/ojw1LSyAqFFLyi3Cp3enrM4YFAQfJ2uRExFRU+CutMSsJyvGEn65+xIu3FSLnIjqGgsgarTKtTpE/5CIkjIdegQ0w4RuPmJHIqImZHSYFx5v44oyrYD/bExEaTlnhTUlLICo0fpu/3WcTMmHrYUZPhsdAqmUl76IqO5IJBLEjGyHZtZyXMwswPw9V8SORHWIBRA1SmfTVfpZXx8NbQsPe0uRExFRU+Rko8CnIyoWSPxu3zUcT74lciKqKyyAqNEpKdPijR9OoVwnYGBbN4zo4Cl2JCJqwgYGu2FURy/oBOCNH0+hqLRc7EhUB1gAUaMzd+dFXMoqgJONHJ+OCOasLyKqd7OGtoGH0gI38orx0c/nxI5DdYAFEDUqu85lYsXBZADA3FHt0YwLHhJRA7CzMMcXT4VCKgF+OJ6GLQlpYkeiR8QCiBqN1FvFeOvHUwCASb180b+1q8iJiMiUdPNvhlf7BwIA3t92FlezC0VORI+CBRA1CppyHaauPwl1STlCve3x9sAgsSMRkQma9lgguvs3Q7FGi6nrErhhaiPGAogahXk7L+JUaj7sLMzwzfgOMJfxW5eIGp5MKsH8caFwslHgYmYBxwM1YvwUIaO3+3wW/u9AEgDg8zEh8Ha0EjkREZkyF1sLfD0uFBIJsP5oKrYnposdiR4CCyAyasm5RXjjh0QAwAs9fDGgrZu4gYiIAPQIcMK0xyrGA83Ycoa7xjdCLIDIaBWUlOFfq4/rx/1MH8RxP0RkPF7r/9d4oH+tPobbRRqxI5EBWACRUdLpKvbeuZpdCBdbBb57LgxyM367EpHxkEklWPR0R3g7WiL11h1MWZeAMq1O7FhUS0bxibJo0SL4+PjAwsIC4eHhOHr06H3b//jjjwgKCoKFhQXatWuHX3/9tcr9zz//PCQSSZXbwIED6/MlUB37Yvcl7LmQDbmZFP+b0AmudhZiRyIiuoeDtRxLJ3SClVyGQ9fy8OkvF8SORLUkegG0ceNGREdHY9asWUhISEBISAgiIyORnZ1dbftDhw5h/PjxePHFF3Hy5EkMHz4cw4cPx9mzZ6u0GzhwIG7evKm/rV+/viFeDtWBn09lYNHeawCAuaPaIdTbXtxARET3EeRmhy+fCgUArDyUjI3HUsQNRLUiEQRBEDNAeHg4OnfujIULFwIAdDodvL29MW3aNEyfPv2e9mPHjkVRURF27NihP9a1a1eEhoZiyZIlACp6gPLz87Ft27aHyqRWq6FUKqFSqWBnZ/dQ56CHczZdhdFLDqGkTIeXevvh3cGtxY5ERFQrX++5gq/2XIa5TIL1k7qik4+j2JFMjiGf36L2AGk0Gpw4cQIRERH6Y1KpFBEREYiPj6/2MfHx8VXaA0BkZOQ97ePi4uDi4oJWrVph8uTJyMvLqzFHaWkp1Gp1lRs1vNRbxYhaeQwlZTr0aemMd7jYIRE1ItMeC8CgYDeUaQX8a/VxrhRt5EQtgHJzc6HVauHqWnVLA1dXV2RmZlb7mMzMzAe2HzhwIFavXo3Y2FjMnTsX+/btw6BBg6DVVr9iZ0xMDJRKpf7m7e39iK+MDHWrSIOJy48ip6AUQW62+ObpDpBJuckpETUeUqkEXzwVghBve+QXl2Hi8qPIUpeIHYtqIPoYoPowbtw4DB06FO3atcPw4cOxY8cOHDt2DHFxcdW2nzFjBlQqlf6WmprasIFNXLGmHC+sPIbruUXwtLfEqhe6wM7CXOxYREQGs5KbYfnETvB1skZ6/h1MXH4U6pIysWNRNUQtgJycnCCTyZCVlVXleFZWFtzcql/wzs3NzaD2AODn5wcnJydcvXq12vsVCgXs7Oyq3KhhlGt1mLruJBJT86G0NMeqFzpzxhcRNWrNbBRY/UIX/XYZL60+jtJy7hlmbEQtgORyOcLCwhAbG6s/ptPpEBsbi27dulX7mG7dulVpDwC7d++usT0ApKWlIS8vD+7u7nUTnOqEIAh4d+sZ/HExGwozKZY/3wkBLrZixyIiemTejlZYGdUZNgozHL5+C9E/nIJWJ+qcI/oH0S+BRUdHY+nSpVi1ahUuXLiAyZMno6ioCFFRUQCACRMmYMaMGfr2r732Gnbu3IkvvvgCFy9exIcffojjx49j6tSpAIDCwkK89dZbOHz4MJKTkxEbG4thw4YhICAAkZGRorxGupcgCJj10zn8cDwNUgmw8OmOCGvBGRNE1HQEeyqx5NkwmMsk+OX0Tbyz+TR0LIKMhpnYAcaOHYucnBzMnDkTmZmZCA0Nxc6dO/UDnVNSUiCV/lWnde/eHevWrcP777+Pd999F4GBgdi2bRuCg4MBADKZDKdPn8aqVauQn58PDw8PDBgwALNnz4ZCoRDlNVJVgiDgo5/PY3X8DUgkwNxR7fF4G9cHP5CIqJHpGeiE+WM74NUNJ7HpRMUffHNGtoeUkzxEJ/o6QMaI6wDVH0EQ8MkvF7Ds7u7uc0e1w9jOzUVORURUv346lYHXN5yETgDGd/HGp8PbsQiqB41mHSAyLYIgIOa3i/riJ2Ykix8iMg1DQzzw1dhQSCXA+qOpeH/7WV4OExkLIGoQgiDgv79ewP/2XwcAfDI8GOO7sPghItMxLNQTXzwVAokEWHckBe9tO8uB0SISfQwQNX3lWh3e2XwGmxPSAAAfD2uLZ7u2EDkVEVHDG9HBC1od8NamU1h/NAWqOxp8NTYUCjOZ2NFMDnuAqF7d0Wjx7zUnsDkhDTKpBJ+Nbo8J3XzEjkVEJJrRYV5YOL4jzGUS/HomE1ErjqGwtFzsWCaHBRDVG1VxGZ5bdgSxd9f5+e7ZMIzpxG1GiIiGtHfHyqgusJbLcOhaHsb/7zByC0vFjmVSWABRvUjPv4OnvovH8Ru3YWdhhrX/CkcEp7oTEen1CHDChpe6oZm1HGfSVRizJB5JuUVixzIZLICozh1LvoWh3xzApawCuNgq8MPL3dDZh4scEhH9UzsvJX58uRs87S2RlFuE4YsO4sCVXLFjmQQWQFSnNh5LwdNLDyOvSIM27nbYOqUHgty4lhIRUU38nG2wdUp3dGhuD9WdMkxccRQrDiaBy/TVLxZAVCfKtTp8+NM5vLP5DMq0Aoa0c8emyRV/1RAR0f252Fpg/aSuGNXRC1pdxWr50zefgaZcJ3a0JosFED2yLHUJnlt2FCsPJQMAoh9viYVPd4CVnKssEBHVloW5DJ+PaY/3h7SGVAJsPJ6Ksf+LR9rtYrGjNUksgOiR7L2UjUFf/4n463mwksuw5NmOeLV/ICQSLvFORGQoiUSCf/Xyw/LnO8PWwgwnU/Ix+Os/sfPsTbGjNTksgOihaMp1+PSX84hacQy37o732TGtJwYGu4sdjYio0evbygW/vtoLod72UJeU4+W1CXh/2xmUlGnFjtZksAAig13NLsSYJYew9M+KPb2e7+6DLa90h5+zjcjJiIiaDm9HK/z4cje83McfALD2cAqGLzqI8xlqkZM1DdwNvhrcDb565Vod/vfndczfcwWach2Ulub4bHR7DGjrJnY0IqImbf/lHET/kIjcQg3MpBK80i8AU/sFQG7Gfoy/M+TzmwVQNVgA3et8hhpvbz6Fs+kVf3n0aemMmJHt4MFZXkREDSKnoBTvbzuDXeeyAAAtXW0wb3QIQr3txQ1mRFgAPSIWQH8p1pRj8d5rWLLvGsp1ApSW5pj5RBuM7OjJgc5ERA1MEAT8eiYTM7efRV6RBlIJENXDF69HBMLWwlzseKJjAfSIWABV/JD9dCoDc367iJuqEgBAZFtXzB4eDBdbC5HTERGZtltFGnz88zlsS8wAADjZyPF2ZBBGh3lBKjXdP05ZAD0iUy+Azqar8OFP53D8xm0AgJeDJd4f0gaRbV3Z60NEZETiLmXj45/P4/rdPcTaeykx68m2CGvhIHIycbAAekSmWgAl5Rbh6z2Xsf1UBgQBsDSXYUo/f/yrlx8szGVixyMiompoynVYdSgZX8deQWFpOQBgULAb/vN4S7R0tRU5XcNiAfSITK0ASr1VjAWxV7DlZDq0uopvh2GhHpg+KAjuSg5yJiJqDHIKSvHZrov48UQaBAGQSIChIR54rX+gySxTwgLoEZlKAXQtpxD/92cSNp1IRZm24tugf5AL/vN4SwR7KkVOR0RED+NSZgHm77mM385mAgBkUgmGh3ripd5+aOXWtHuEWAA9oqZcAAmCgKNJt7D0zyTsuZClP94r0AnRj7dEh+amed2YiKipOZuuwle7LyP2Yrb+WJ+WzpjUyw89Apo1yTGdLIAeUVMsgO5otPjlzE2siU/GqTQVgIru0f5Brvh3Hz909nEUOSEREdWHU6n5+G7/New8m4m7oxzQ2t0OE7q1wJMhHrBRNJ2Nq1kAPaKmVACdy1Bhw9FUbEtMR0FJxeA4hZkUo8K88GJPX/ibyHVhIiJTl5JXjOUHk7DxWCru3N1TzFouw9BQD4zr3BztvZSNvleIBdAjauwF0E3VHfxy+ia2J2bgTLpKf9zb0RJjO3ljXJfmcLJRiJiQiIjEkl+swcZjqdhwLBVJd6fPA0CQmy2GhXriyRB3eDlYiZjw4bEAekSNsQDKVpdg1/ks/JyYgaPJt/THzWUSDGjjhnFdvNHD38mkF8giIqK/CIKAI0m3sOFoCn49mwlNuU5/X8fm9ngyxAMDg90a1WxgFkCPqDEUQIIg4FyGGrEXshF7MQun01RV7u/i44gnQ9wxuJ07mrG3h4iI7iO/WIPfzmbi51MZiL+eh79XBm3c7RDR2gWPtXZFe0+lUf8hzQLoERlrAZSefweHrubi0LU8HLqWiyx1aZX7Q7zt8UQ7dwxp785NSomI6KFkq0vwy5mb2HH6JhJSblcphpxs5Oju74Tu/s3QI8AJ3o7GdamMBdAjMoYCSKcTcCW7EAkpt5Fw4zaOJt/CjbziKm0szWXoFeiEiNau6BvkzD26iIioTuUVlmLvpRz8cTEL+y/n6learuTlYIkuvo7o2NwBHZs7oJWbLWQi9hCxAHpEDV0A6XQCkvOKcC5DffemQmJKPgr+8Y0mk0rQ3ktZUXn7O6FjCwduUUFERA1CU65DQsptHLqWh/hruTiZko9yXdUSwlouQ4i3PYI9lWjrYYe2HnbwdbJpsKKIBdAjqq8CSKcTkJ5/B1dzCnE1qxBXsgtwJbsQlzMLUKTR3tPeSi5DiJc9OrawR1gLB3T2cYSthXmd5SEiInpYRaXlOJZ8Cwk3biMhJR+Jqfn39BABFVcrWrrZItDFBgEuNgh0sUGgiy28HCzrfDxRoyuAFi1ahM8++wyZmZkICQnBN998gy5dutTY/scff8QHH3yA5ORkBAYGYu7cuRg8eLD+fkEQMGvWLCxduhT5+fno0aMHvv32WwQGBtYqT30VQDG/XsB3+69Xe5+FuRRBbnZ3K2YlQryVaOVqCzOZtM6en4iIqL5odQKuZBcgMSVffzXjws0C/ZpD/zS+S3PEjGxXpxkM+fwWffnHjRs3Ijo6GkuWLEF4eDjmz5+PyMhIXLp0CS4uLve0P3ToEMaPH4+YmBg88cQTWLduHYYPH46EhAQEBwcDAObNm4cFCxZg1apV8PX1xQcffIDIyEicP38eFhbijZPxc7aGuUwCPycbBLj+VQUHutrAz8maxQ4RETVaMqkEQW52CHL7q/DQ6gQk5RbhSlbFFY8r2YW4klWA67lF8He2FjGtEfQAhYeHo3Pnzli4cCEAQKfTwdvbG9OmTcP06dPvaT927FgUFRVhx44d+mNdu3ZFaGgolixZAkEQ4OHhgTfeeANvvvkmAEClUsHV1RUrV67EuHHjHpipvnqASsq0MJNKWOgQEZFJ0+oElGl1dT6O1ZDPb1E/iTUaDU6cOIGIiAj9MalUioiICMTHx1f7mPj4+CrtASAyMlLfPikpCZmZmVXaKJVKhIeH13jOhmJhLmPxQ0REJk8mlYg+iUfUS2C5ubnQarVwdXWtctzV1RUXL16s9jGZmZnVts/MzNTfX3mspjb/VFpaitLSv9bUUavVhr0QIiIialTYHQEgJiYGSqVSf/P29hY7EhEREdUjUQsgJycnyGQyZGVlVTmelZUFNze3ah/j5uZ23/aV/zXknDNmzIBKpdLfUlNTH+r1EBERUeMgagEkl8sRFhaG2NhY/TGdTofY2Fh069at2sd069atSnsA2L17t769r68v3NzcqrRRq9U4cuRIjedUKBSws7OrciMiIqKmS/Rp8NHR0Zg4cSI6deqELl26YP78+SgqKkJUVBQAYMKECfD09ERMTAwA4LXXXkOfPn3wxRdfYMiQIdiwYQOOHz+O//3vfwAAiUSC119/HZ988gkCAwP10+A9PDwwfPhwsV4mERERGRHRC6CxY8ciJycHM2fORGZmJkJDQ7Fz5079IOaUlBRIpX91VHXv3h3r1q3D+++/j3fffReBgYHYtm2bfg0gAHj77bdRVFSEl156Cfn5+ejZsyd27twp6hpAREREZDxEXwfIGBnDZqhERERkmEazDhARERGRGFgAERERkclhAUREREQmhwUQERERmRwWQERERGRyWAARERGRyRF9HSBjVLkyADdFJSIiajwqP7drs8IPC6BqFBQUAAA3RSUiImqECgoKoFQq79uGCyFWQ6fTISMjA7a2tpBIJHV6brVaDW9vb6SmpnKRxQfge1V7fK9qj+9V7fG9qj2+V7VXn++VIAgoKCiAh4dHlV0kqsMeoGpIpVJ4eXnV63Nw09Xa43tVe3yvao/vVe3xvao9vle1V1/v1YN6fipxEDQRERGZHBZAREREZHJYADUwhUKBWbNmQaFQiB3F6PG9qj2+V7XH96r2+F7VHt+r2jOW94qDoImIiMjksAeIiIiITA4LICIiIjI5LICIiIjI5LAAIiIiIpPDAkhEQ4cORfPmzWFhYQF3d3c899xzyMjIEDuW0UlOTsaLL74IX19fWFpawt/fH7NmzYJGoxE7mlH69NNP0b17d1hZWcHe3l7sOEZn0aJF8PHxgYWFBcLDw3H06FGxIxmd/fv348knn4SHhwckEgm2bdsmdiSjFRMTg86dO8PW1hYuLi4YPnw4Ll26JHYso/Ttt9+iffv2+gUQu3Xrht9++020PCyARNSvXz/88MMPuHTpEjZv3oxr165h9OjRYscyOhcvXoROp8N3332Hc+fO4auvvsKSJUvw7rvvih3NKGk0GowZMwaTJ08WO4rR2bhxI6KjozFr1iwkJCQgJCQEkZGRyM7OFjuaUSkqKkJISAgWLVokdhSjt2/fPkyZMgWHDx/G7t27UVZWhgEDBqCoqEjsaEbHy8sLc+bMwYkTJ3D8+HE89thjGDZsGM6dOydKHk6DNyI//fQThg8fjtLSUpibm4sdx6h99tln+Pbbb3H9+nWxoxitlStX4vXXX0d+fr7YUYxGeHg4OnfujIULFwKo2PfP29sb06ZNw/Tp00VOZ5wkEgm2bt2K4cOHix2lUcjJyYGLiwv27duH3r17ix3H6Dk6OuKzzz7Diy++2ODPzR4gI3Hr1i18//336N69O4ufWlCpVHB0dBQ7BjUiGo0GJ06cQEREhP6YVCpFREQE4uPjRUxGTYlKpQIA/n56AK1Wiw0bNqCoqAjdunUTJQMLIJG98847sLa2RrNmzZCSkoLt27eLHcnoXb16Fd988w3+/e9/ix2FGpHc3FxotVq4urpWOe7q6orMzEyRUlFTotPp8Prrr6NHjx4IDg4WO45ROnPmDGxsbKBQKPDyyy9j69ataNOmjShZWADVsenTp0Mikdz3dvHiRX37t956CydPnsTvv/8OmUyGCRMmwFSuShr6XgFAeno6Bg4ciDFjxmDSpEkiJW94D/NeEVHDmjJlCs6ePYsNGzaIHcVotWrVComJiThy5AgmT56MiRMn4vz586Jk4RigOpaTk4O8vLz7tvHz84NcLr/neFpaGry9vXHo0CHRugQbkqHvVUZGBvr27YuuXbti5cqVkEpNp35/mO8rjgGqSqPRwMrKCps2baoynmXixInIz89n72sNOAaodqZOnYrt27dj//798PX1FTtOoxEREQF/f3989913Df7cZg3+jE2cs7MznJ2dH+qxOp0OAFBaWlqXkYyWIe9Veno6+vXrh7CwMKxYscKkih/g0b6vqIJcLkdYWBhiY2P1H+Y6nQ6xsbGYOnWquOGo0RIEAdOmTcPWrVsRFxfH4sdAOp1OtM88FkAiOXLkCI4dO4aePXvCwcEB165dwwcffAB/f3+T6P0xRHp6Ovr27YsWLVrg888/R05Ojv4+Nzc3EZMZp5SUFNy6dQspKSnQarVITEwEAAQEBMDGxkbccCKLjo7GxIkT0alTJ3Tp0gXz589HUVERoqKixI5mVAoLC3H16lX9v5OSkpCYmAhHR0c0b95cxGTGZ8qUKVi3bh22b98OW1tb/XgypVIJS0tLkdMZlxkzZmDQoEFo3rw5CgoKsG7dOsTFxWHXrl3iBBJIFKdPnxb69esnODo6CgqFQvDx8RFefvllIS0tTexoRmfFihUCgGpvdK+JEydW+17t3btX7GhG4ZtvvhGaN28uyOVyoUuXLsLhw4fFjmR09u7dW+330MSJE8WOZnRq+t20YsUKsaMZnRdeeEFo0aKFIJfLBWdnZ6F///7C77//LloejgEiIiIik2NaAymIiIiIwAKIiIiITBALICIiIjI5LICIiIjI5LAAIiIiIpPDAoiIiIhMDgsgIiIiMjksgIiIiMjksAAioiZPq9Wie/fuGDlyZJXjKpUK3t7eeO+990RKRkRi4UrQRGQSLl++jNDQUCxduhTPPPMMAGDChAk4deoUjh07BrlcLnJCImpILICIyGQsWLAAH374Ic6dO4ejR49izJgxOHbsGEJCQsSORkQNjAUQEZkMQRDw2GOPQSaT4cyZM5g2bRref/99sWMRkQhYABGRSbl48SJat26Ndu3aISEhAWZmZmJHIiIRcBA0EZmU5cuXw8rKCklJSUhLSxM7DhGJhD1ARGQyDh06hD59+uD333/HJ598AgDYs2cPJBKJyMmIqKGxB4iITEJxcTGef/55TJ48Gf369cOyZctw9OhRLFmyROxoRCQC9gARkUl47bXX8Ouvv+LUqVOwsrICAHz33Xd48803cebMGfj4+IgbkIgaFAsgImry9u3bh/79+yMuLg49e/ascl9kZCTKy8t5KYzIxLAAIiIiIpPDMUBERERkclgAERERkclhAUREREQmhwUQERERmRwWQERERGRyWAARERGRyWEBRERERCaHBRARERGZHBZAREREZHJYABEREZHJYQFEREREJocFEBEREZmc/wdVaJsWS75f2wAAAABJRU5ErkJggg==\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Randomly generated dataset" | |
], | |
"metadata": { | |
"id": "NtZYbiFsz1kX" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import plotly.graph_objects as go\n", | |
"import plotly.express as px" | |
], | |
"metadata": { | |
"id": "1VTD7ukO2JDa" | |
}, | |
"execution_count": 2, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"mu1 = [-3, -4]\n", | |
"mu2 = [5, 3]\n", | |
"mu3 = [-2, 3]\n", | |
"\n", | |
"sigma1 = [[2, 0.8], [0.8, 1]]\n", | |
"sigma2 = [[1, 0.2], [0.2, 1]]\n", | |
"sigma3 = [[1, 0.5], [0.5, 3]]\n", | |
"\n", | |
"x1 = np.random.multivariate_normal(mu1, sigma1, 100)\n", | |
"x2 = np.random.multivariate_normal(mu2, sigma2, 100)\n", | |
"x3 = np.random.multivariate_normal(mu3, sigma3, 100)\n", | |
"\n", | |
"X = np.concatenate((x1, x2, x3), axis=0)\n", | |
"y = np.concatenate((np.zeros(100), np.ones(100), 2*np.ones(100)))\n", | |
"\n", | |
"fig = px.scatter(x=X[:, 0], y=X[:, 1], color=y)\n", | |
"fig.show()" | |
], | |
"metadata": { | |
"id": "fWxKntqi3wtn", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 542 | |
}, | |
"outputId": "d67bb3fc-8338-48dc-b4eb-c6189df5b8ad" | |
}, | |
"execution_count": 3, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/html": [ | |
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] | |
}, | |
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} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"# Gaussian Naive Bayes" | |
], | |
"metadata": { | |
"id": "FLEHuUAT9LRe" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from scipy.stats import multivariate_normal\n", | |
"\n", | |
"class GaussianNaiveBayes:\n", | |
" def __init__(self):\n", | |
" self.classes = None\n", | |
" self.class_priors = None\n", | |
" self.means = None\n", | |
" self.variances = None\n", | |
"\n", | |
" def fit(self, X, y):\n", | |
" \"\"\"\n", | |
" Fit the Gaussian Naive Bayes model.\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
" X : array-like, shape (n_samples, n_features)\n", | |
" Training vectors, where n_samples is the number of samples\n", | |
" and n_features is the number of features.\n", | |
" y : array-like, shape (n_samples,)\n", | |
" Target values.\n", | |
" \"\"\"\n", | |
" n_samples, n_features = X.shape\n", | |
" self.classes = np.unique(y)\n", | |
" n_classes = len(self.classes)\n", | |
"\n", | |
" # Calculate class priors, means, and variances\n", | |
" self.class_priors = np.zeros(n_classes)\n", | |
" self.means = np.zeros((n_classes, n_features))\n", | |
" self.variances = np.zeros((n_classes, n_features))\n", | |
"\n", | |
" for i, c in enumerate(self.classes):\n", | |
" X_c = X[y == c]\n", | |
" self.class_priors[i] = X_c.shape[0] / float(n_samples)\n", | |
" self.means[i, :] = X_c.mean(axis=0)\n", | |
" self.variances[i, :] = X_c.var(axis=0)\n", | |
"\n", | |
" def predict(self, X):\n", | |
" \"\"\"\n", | |
" Perform classification on an array of test vectors X.\n", | |
"\n", | |
" Parameters\n", | |
" ----------\n", | |
" X : array-like, shape (n_samples, n_features)\n", | |
" Test vectors.\n", | |
"\n", | |
" Returns\n", | |
" -------\n", | |
" C : array, shape (n_samples,)\n", | |
" Predicted target values for X.\n", | |
" \"\"\"\n", | |
" n_samples = X.shape[0]\n", | |
" posteriors = np.zeros((n_samples, len(self.classes)))\n", | |
"\n", | |
" # Calculate posterior probability for each class\n", | |
" for i, c in enumerate(self.classes):\n", | |
" prior = np.log(self.class_priors[i])\n", | |
" # Calculate likelihood using log of probability density function\n", | |
" likelihood = np.sum(np.log(self._pdf(i, X)), axis=1)\n", | |
" posteriors[:, i] = prior + likelihood\n", | |
"\n", | |
" # Return the class with the highest posterior probability\n", | |
" return self.classes[np.argmax(posteriors, axis=1)]\n", | |
"\n", | |
" def _pdf(self, class_idx, x):\n", | |
" \"\"\"\n", | |
" Calculate the probability density function for a Gaussian distribution.\n", | |
" \"\"\"\n", | |
" mean = self.means[class_idx]\n", | |
" var = self.variances[class_idx]\n", | |
" numerator = np.exp(- (x - mean)**2 / (2 * var))\n", | |
" denominator = np.sqrt(2 * np.pi * var)\n", | |
" return numerator / denominator\n", | |
"\n", | |
" def visualize_classes(self, X, y, title=\"Gaussian Naive Bayes Decision Boundary\"):\n", | |
" \"\"\"\n", | |
" Visualize the decision boundary and class distributions.\n", | |
" Parameters\n", | |
" ----------\n", | |
" X : array-like, shape (n_samples, n_features)\n", | |
" Training vectors, where n_samples is the number of samples\n", | |
" and n_features is the number of features. Only first two features are used.\n", | |
" y : array-like, shape (n_samples,)\n", | |
" Target values.\n", | |
" \"\"\"\n", | |
"\n", | |
" if X.shape[1] != 2:\n", | |
" raise ValueError(\"Visualization is only supported for 2 features.\")\n", | |
"\n", | |
" x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", | |
" y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", | |
" xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", | |
" np.arange(y_min, y_max, 0.1))\n", | |
"\n", | |
" Z = self.predict(np.c_[xx.ravel(), yy.ravel()])\n", | |
" Z = Z.reshape(xx.shape)\n", | |
"\n", | |
" plt.contourf(xx, yy, Z, alpha=0.4)\n", | |
" plt.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k')\n", | |
"\n", | |
" # Plot the Gaussian distributions for each class\n", | |
" for i, c in enumerate(self.classes):\n", | |
" mean = self.means[i]\n", | |
" cov = np.diag(self.variances[i])\n", | |
"\n", | |
" # Generate points from the multivariate normal distribution\n", | |
" rv = multivariate_normal(mean, cov)\n", | |
" x_grid, y_grid = np.mgrid[x_min:x_max:0.1, y_min:y_max:0.1]\n", | |
" pos = np.dstack((x_grid, y_grid))\n", | |
" pdf_values = rv.pdf(pos)\n", | |
"\n", | |
" plt.contour(x_grid, y_grid, pdf_values, levels=3, colors=f'C{i}', alpha=0.5)\n", | |
" plt.scatter(mean[0], mean[1], marker='x', color=f'C{i}', s=100)\n", | |
"\n", | |
" plt.title(title)\n", | |
" plt.xlabel(\"Feature 1\")\n", | |
" plt.ylabel(\"Feature 2\")\n", | |
" plt.show()" | |
], | |
"metadata": { | |
"id": "GBxdxEfJ9PFb" | |
}, | |
"execution_count": 4, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Example Usage:\n", | |
"# Generate some sample data\n", | |
"rng = np.random.RandomState(42)\n", | |
"\n", | |
"# Create and train the model\n", | |
"model = GaussianNaiveBayes()\n", | |
"model.fit(X, y)\n", | |
"\n", | |
"# Make predictions\n", | |
"predictions = model.predict(X)\n", | |
"\n", | |
"# Evaluate the model (you can use accuracy_score or other metrics)\n", | |
"from sklearn.metrics import accuracy_score\n", | |
"print(f\"Accuracy: {accuracy_score(y, predictions):.2f}\")\n", | |
"\n", | |
"# Visualize the decision boundary and data points\n", | |
"model.visualize_classes(X, y)" | |
], | |
"metadata": { | |
"id": "h3JI7tj03wwe", | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 489 | |
}, | |
"outputId": "71005fd2-4e38-4e81-b71c-17524fc98657" | |
}, | |
"execution_count": 5, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Accuracy: 1.00\n" | |
] | |
}, | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print('means: ', model.means)\n", | |
"print('variance for class 1: ', np.diag(model.variances[0]))\n", | |
"print('variance for class 2: ', np.diag(model.variances[1]))\n", | |
"print('variance for class 3: ', np.diag(model.variances[2]))" | |
], | |
"metadata": { | |
"id": "yEPgAcTx3wzV", | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"outputId": "9ef68436-52bf-44d9-c390-a575e3996dbe" | |
}, | |
"execution_count": 6, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"means: [[-3.28294189 -4.09822609]\n", | |
" [ 4.94560614 3.07536632]\n", | |
" [-1.94563711 3.21775145]]\n", | |
"variance for class 1: [[2.25745108 0. ]\n", | |
" [0. 0.99794366]]\n", | |
"variance for class 2: [[0.87793854 0. ]\n", | |
" [0. 1.01177959]]\n", | |
"variance for class 3: [[1.04342574 0. ]\n", | |
" [0. 2.98352037]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Verification using scikit-learn" | |
], | |
"metadata": { | |
"id": "GfaWFzfpDpK7" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"from sklearn.naive_bayes import GaussianNB\n", | |
"\n", | |
"clf = GaussianNB()\n", | |
"clf.fit(X, y)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 80 | |
}, | |
"id": "k7LvkHjCDoL_", | |
"outputId": "447719c1-aa32-4b7e-d25d-73b69c5f3279" | |
}, | |
"execution_count": 7, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"GaussianNB()" | |
], | |
"text/html": [ | |
"<style>#sk-container-id-1 {\n", | |
" /* Definition of color scheme common for light and dark mode */\n", | |
" --sklearn-color-text: #000;\n", | |
" --sklearn-color-text-muted: #666;\n", | |
" --sklearn-color-line: gray;\n", | |
" /* Definition of color scheme for unfitted estimators */\n", | |
" --sklearn-color-unfitted-level-0: #fff5e6;\n", | |
" --sklearn-color-unfitted-level-1: #f6e4d2;\n", | |
" --sklearn-color-unfitted-level-2: #ffe0b3;\n", | |
" --sklearn-color-unfitted-level-3: chocolate;\n", | |
" /* Definition of color scheme for fitted estimators */\n", | |
" --sklearn-color-fitted-level-0: #f0f8ff;\n", | |
" --sklearn-color-fitted-level-1: #d4ebff;\n", | |
" --sklearn-color-fitted-level-2: #b3dbfd;\n", | |
" --sklearn-color-fitted-level-3: cornflowerblue;\n", | |
"\n", | |
" /* Specific color for light theme */\n", | |
" --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n", | |
" --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n", | |
" --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n", | |
" --sklearn-color-icon: #696969;\n", | |
"\n", | |
" @media (prefers-color-scheme: dark) {\n", | |
" /* Redefinition of color scheme for dark theme */\n", | |
" --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n", | |
" --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n", | |
" --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n", | |
" --sklearn-color-icon: #878787;\n", | |
" }\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 {\n", | |
" color: var(--sklearn-color-text);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 pre {\n", | |
" padding: 0;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 input.sk-hidden--visually {\n", | |
" border: 0;\n", | |
" clip: rect(1px 1px 1px 1px);\n", | |
" clip: rect(1px, 1px, 1px, 1px);\n", | |
" height: 1px;\n", | |
" margin: -1px;\n", | |
" overflow: hidden;\n", | |
" padding: 0;\n", | |
" position: absolute;\n", | |
" width: 1px;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-dashed-wrapped {\n", | |
" border: 1px dashed var(--sklearn-color-line);\n", | |
" margin: 0 0.4em 0.5em 0.4em;\n", | |
" box-sizing: border-box;\n", | |
" padding-bottom: 0.4em;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-container {\n", | |
" /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n", | |
" but bootstrap.min.css set `[hidden] { display: none !important; }`\n", | |
" so we also need the `!important` here to be able to override the\n", | |
" default hidden behavior on the sphinx rendered scikit-learn.org.\n", | |
" See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n", | |
" display: inline-block !important;\n", | |
" position: relative;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-text-repr-fallback {\n", | |
" display: none;\n", | |
"}\n", | |
"\n", | |
"div.sk-parallel-item,\n", | |
"div.sk-serial,\n", | |
"div.sk-item {\n", | |
" /* draw centered vertical line to link estimators */\n", | |
" background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n", | |
" background-size: 2px 100%;\n", | |
" background-repeat: no-repeat;\n", | |
" background-position: center center;\n", | |
"}\n", | |
"\n", | |
"/* Parallel-specific style estimator block */\n", | |
"\n", | |
"#sk-container-id-1 div.sk-parallel-item::after {\n", | |
" content: \"\";\n", | |
" width: 100%;\n", | |
" border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n", | |
" flex-grow: 1;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-parallel {\n", | |
" display: flex;\n", | |
" align-items: stretch;\n", | |
" justify-content: center;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" position: relative;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-parallel-item {\n", | |
" display: flex;\n", | |
" flex-direction: column;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-parallel-item:first-child::after {\n", | |
" align-self: flex-end;\n", | |
" width: 50%;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-parallel-item:last-child::after {\n", | |
" align-self: flex-start;\n", | |
" width: 50%;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-parallel-item:only-child::after {\n", | |
" width: 0;\n", | |
"}\n", | |
"\n", | |
"/* Serial-specific style estimator block */\n", | |
"\n", | |
"#sk-container-id-1 div.sk-serial {\n", | |
" display: flex;\n", | |
" flex-direction: column;\n", | |
" align-items: center;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" padding-right: 1em;\n", | |
" padding-left: 1em;\n", | |
"}\n", | |
"\n", | |
"\n", | |
"/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n", | |
"clickable and can be expanded/collapsed.\n", | |
"- Pipeline and ColumnTransformer use this feature and define the default style\n", | |
"- Estimators will overwrite some part of the style using the `sk-estimator` class\n", | |
"*/\n", | |
"\n", | |
"/* Pipeline and ColumnTransformer style (default) */\n", | |
"\n", | |
"#sk-container-id-1 div.sk-toggleable {\n", | |
" /* Default theme specific background. It is overwritten whether we have a\n", | |
" specific estimator or a Pipeline/ColumnTransformer */\n", | |
" background-color: var(--sklearn-color-background);\n", | |
"}\n", | |
"\n", | |
"/* Toggleable label */\n", | |
"#sk-container-id-1 label.sk-toggleable__label {\n", | |
" cursor: pointer;\n", | |
" display: flex;\n", | |
" width: 100%;\n", | |
" margin-bottom: 0;\n", | |
" padding: 0.5em;\n", | |
" box-sizing: border-box;\n", | |
" text-align: center;\n", | |
" align-items: start;\n", | |
" justify-content: space-between;\n", | |
" gap: 0.5em;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 label.sk-toggleable__label .caption {\n", | |
" font-size: 0.6rem;\n", | |
" font-weight: lighter;\n", | |
" color: var(--sklearn-color-text-muted);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n", | |
" /* Arrow on the left of the label */\n", | |
" content: \"▸\";\n", | |
" float: left;\n", | |
" margin-right: 0.25em;\n", | |
" color: var(--sklearn-color-icon);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n", | |
" color: var(--sklearn-color-text);\n", | |
"}\n", | |
"\n", | |
"/* Toggleable content - dropdown */\n", | |
"\n", | |
"#sk-container-id-1 div.sk-toggleable__content {\n", | |
" max-height: 0;\n", | |
" max-width: 0;\n", | |
" overflow: hidden;\n", | |
" text-align: left;\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-toggleable__content.fitted {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-toggleable__content pre {\n", | |
" margin: 0.2em;\n", | |
" border-radius: 0.25em;\n", | |
" color: var(--sklearn-color-text);\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n", | |
" /* Expand drop-down */\n", | |
" max-height: 200px;\n", | |
" max-width: 100%;\n", | |
" overflow: auto;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n", | |
" content: \"▾\";\n", | |
"}\n", | |
"\n", | |
"/* Pipeline/ColumnTransformer-specific style */\n", | |
"\n", | |
"#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" color: var(--sklearn-color-text);\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Estimator-specific style */\n", | |
"\n", | |
"/* Colorize estimator box */\n", | |
"#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n", | |
"#sk-container-id-1 div.sk-label label {\n", | |
" /* The background is the default theme color */\n", | |
" color: var(--sklearn-color-text-on-default-background);\n", | |
"}\n", | |
"\n", | |
"/* On hover, darken the color of the background */\n", | |
"#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n", | |
" color: var(--sklearn-color-text);\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Label box, darken color on hover, fitted */\n", | |
"#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n", | |
" color: var(--sklearn-color-text);\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Estimator label */\n", | |
"\n", | |
"#sk-container-id-1 div.sk-label label {\n", | |
" font-family: monospace;\n", | |
" font-weight: bold;\n", | |
" display: inline-block;\n", | |
" line-height: 1.2em;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-label-container {\n", | |
" text-align: center;\n", | |
"}\n", | |
"\n", | |
"/* Estimator-specific */\n", | |
"#sk-container-id-1 div.sk-estimator {\n", | |
" font-family: monospace;\n", | |
" border: 1px dotted var(--sklearn-color-border-box);\n", | |
" border-radius: 0.25em;\n", | |
" box-sizing: border-box;\n", | |
" margin-bottom: 0.5em;\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-estimator.fitted {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-0);\n", | |
"}\n", | |
"\n", | |
"/* on hover */\n", | |
"#sk-container-id-1 div.sk-estimator:hover {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 div.sk-estimator.fitted:hover {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Specification for estimator info (e.g. \"i\" and \"?\") */\n", | |
"\n", | |
"/* Common style for \"i\" and \"?\" */\n", | |
"\n", | |
".sk-estimator-doc-link,\n", | |
"a:link.sk-estimator-doc-link,\n", | |
"a:visited.sk-estimator-doc-link {\n", | |
" float: right;\n", | |
" font-size: smaller;\n", | |
" line-height: 1em;\n", | |
" font-family: monospace;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" border-radius: 1em;\n", | |
" height: 1em;\n", | |
" width: 1em;\n", | |
" text-decoration: none !important;\n", | |
" margin-left: 0.5em;\n", | |
" text-align: center;\n", | |
" /* unfitted */\n", | |
" border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n", | |
" color: var(--sklearn-color-unfitted-level-1);\n", | |
"}\n", | |
"\n", | |
".sk-estimator-doc-link.fitted,\n", | |
"a:link.sk-estimator-doc-link.fitted,\n", | |
"a:visited.sk-estimator-doc-link.fitted {\n", | |
" /* fitted */\n", | |
" border: var(--sklearn-color-fitted-level-1) 1pt solid;\n", | |
" color: var(--sklearn-color-fitted-level-1);\n", | |
"}\n", | |
"\n", | |
"/* On hover */\n", | |
"div.sk-estimator:hover .sk-estimator-doc-link:hover,\n", | |
".sk-estimator-doc-link:hover,\n", | |
"div.sk-label-container:hover .sk-estimator-doc-link:hover,\n", | |
".sk-estimator-doc-link:hover {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-3);\n", | |
" color: var(--sklearn-color-background);\n", | |
" text-decoration: none;\n", | |
"}\n", | |
"\n", | |
"div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n", | |
".sk-estimator-doc-link.fitted:hover,\n", | |
"div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n", | |
".sk-estimator-doc-link.fitted:hover {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-3);\n", | |
" color: var(--sklearn-color-background);\n", | |
" text-decoration: none;\n", | |
"}\n", | |
"\n", | |
"/* Span, style for the box shown on hovering the info icon */\n", | |
".sk-estimator-doc-link span {\n", | |
" display: none;\n", | |
" z-index: 9999;\n", | |
" position: relative;\n", | |
" font-weight: normal;\n", | |
" right: .2ex;\n", | |
" padding: .5ex;\n", | |
" margin: .5ex;\n", | |
" width: min-content;\n", | |
" min-width: 20ex;\n", | |
" max-width: 50ex;\n", | |
" color: var(--sklearn-color-text);\n", | |
" box-shadow: 2pt 2pt 4pt #999;\n", | |
" /* unfitted */\n", | |
" background: var(--sklearn-color-unfitted-level-0);\n", | |
" border: .5pt solid var(--sklearn-color-unfitted-level-3);\n", | |
"}\n", | |
"\n", | |
".sk-estimator-doc-link.fitted span {\n", | |
" /* fitted */\n", | |
" background: var(--sklearn-color-fitted-level-0);\n", | |
" border: var(--sklearn-color-fitted-level-3);\n", | |
"}\n", | |
"\n", | |
".sk-estimator-doc-link:hover span {\n", | |
" display: block;\n", | |
"}\n", | |
"\n", | |
"/* \"?\"-specific style due to the `<a>` HTML tag */\n", | |
"\n", | |
"#sk-container-id-1 a.estimator_doc_link {\n", | |
" float: right;\n", | |
" font-size: 1rem;\n", | |
" line-height: 1em;\n", | |
" font-family: monospace;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" border-radius: 1rem;\n", | |
" height: 1rem;\n", | |
" width: 1rem;\n", | |
" text-decoration: none;\n", | |
" /* unfitted */\n", | |
" color: var(--sklearn-color-unfitted-level-1);\n", | |
" border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 a.estimator_doc_link.fitted {\n", | |
" /* fitted */\n", | |
" border: var(--sklearn-color-fitted-level-1) 1pt solid;\n", | |
" color: var(--sklearn-color-fitted-level-1);\n", | |
"}\n", | |
"\n", | |
"/* On hover */\n", | |
"#sk-container-id-1 a.estimator_doc_link:hover {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-3);\n", | |
" color: var(--sklearn-color-background);\n", | |
" text-decoration: none;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-3);\n", | |
"}\n", | |
"</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>GaussianNB()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>GaussianNB</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.6/modules/generated/sklearn.naive_bayes.GaussianNB.html\">?<span>Documentation for GaussianNB</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\"><pre>GaussianNB()</pre></div> </div></div></div></div>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 7 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print('means: ', clf.theta_)\n", | |
"print('variance for class 1: ', np.diag(clf.var_[0]))\n", | |
"print('variance for class 2: ', np.diag(clf.var_[1]))\n", | |
"print('variance for class 3: ', np.diag(clf.var_[2]))" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "dHknLobADsOG", | |
"outputId": "3a54edb2-ab2e-45da-bf84-70164318b0ed" | |
}, | |
"execution_count": 8, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"means: [[-3.28294189 -4.09822609]\n", | |
" [ 4.94560614 3.07536632]\n", | |
" [-1.94563711 3.21775145]]\n", | |
"variance for class 1: [[2.2574511 0. ]\n", | |
" [0. 0.99794367]]\n", | |
"variance for class 2: [[0.87793856 0. ]\n", | |
" [0. 1.01177961]]\n", | |
"variance for class 3: [[1.04342575 0. ]\n", | |
" [0. 2.98352039]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", | |
"y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", | |
"xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", | |
" np.arange(y_min, y_max, 0.1))\n", | |
"\n", | |
"Z = clf.predict(np.c_[xx.ravel(), yy.ravel()])\n", | |
"Z = Z.reshape(xx.shape)\n", | |
"\n", | |
"plt.contourf(xx, yy, Z, alpha=0.4)\n", | |
"plt.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k')\n", | |
"\n", | |
"# Plot the Gaussian distributions for each class\n", | |
"for i, c in enumerate(clf.classes_):\n", | |
" mean = clf.theta_[i]\n", | |
" cov = np.diag(clf.var_[i])\n", | |
"\n", | |
" # Generate points from the multivariate normal distribution\n", | |
" rv = multivariate_normal(mean, cov)\n", | |
" x_grid, y_grid = np.mgrid[x_min:x_max:0.1, y_min:y_max:0.1]\n", | |
" pos = np.dstack((x_grid, y_grid))\n", | |
" pdf_values = rv.pdf(pos)\n", | |
"\n", | |
" plt.contour(x_grid, y_grid, pdf_values, levels=3, colors=f'C{i}', alpha=0.5)\n", | |
" plt.scatter(mean[0], mean[1], marker='x', color=f'C{i}', s=100)\n", | |
"\n", | |
"plt.title(\"Gaussian Naive Bayes Decision Boundary by scikit-learn\")\n", | |
"plt.xlabel(\"Feature 1\")\n", | |
"plt.ylabel(\"Feature 2\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 472 | |
}, | |
"id": "LcnSspY0DWg1", | |
"outputId": "c77914b7-7544-4b50-c392-b6eecc226423" | |
}, | |
"execution_count": 9, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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9Gc82aNCgHPmoX78+VquV0NDQAh1z1apV7Nixg+3btzN37lxKlChBly5dOHz4sH2bzZs34+PjQ69evezLHBwcGDZsGGlpaezbt69Ax8rLu+++m+Pv+vXr53g+N2/ejEKhsJfsQFb7p7x6PT7ue+zBYwP069ePyMjIHM/TokWL0Gg0dOnSpUDn9GDbtuy8bt68Gci6zzt06MCSJUvI+r7N+uyXLVtGx44dH9pmpCD31apVqxAEIUdJaraClMqHh4fTsGFDzGYz+/fv/1c6qBT0HQE5P+f09HTi4uKoU6cOoijmWdV4/71zv2bNmuUocapQoQJOTk6P/f3wLEhBTgE5OjoC5PiyzDZz5kx27NjBwoULc61LSEjggw8+wNvbG41Gg6enp/0L6knaQvTo0YO6devy1ltv4e3tTc+ePVm+fHmOgGfEiBHo9Xpq1KhB8eLFGTJkSI7qrPxcvHiRTp064ezsjJOTE56envZA5sG8+vv753qoXV1dSUxMfKzzKVq0KH379mXWrFlERUXluY3BYGD06NEEBASgUqnw8PDA09OTpKSkR17DHj16YDAYWL9+PZD1+W3evJlu3brZ83/9+nUAmjRpkiNY9fT0ZPv27cTExBToXMqXL0+zZs1o1qwZ3bt3Z+HChbRr146RI0fmaMtx6NAhmjVrhk6nw8XFBU9PT3ubqvvPp1+/fhgMBtasWQNk9dg4efIkffv2tW9z/fp1RFGkePHiufJ++fJle96LFCnCxx9/zO+//46HhwctW7bk119/far2ONmyn4nsZ6Sg1zP7hXd/tUJBNGzYkC5dujBmzBg8PDzo0KEDc+fOxWg05rtPbGwsGRkZudoyAZQuXdreA+p+DwZerq6uAAW+xxs0aECzZs1o3rw5AwYMYNeuXTg6OuYIIkJDQylevHiuzgqlS5e2r38S2W1FHsz//XkPDQ3F19c31w+3vK7R477Hstfdr3nz5vj6+tqHVbDZbCxZsoQOHTrY751HKV68eI6/g4ODkclkOdpr9evXj7CwMA4cOADAzp07iY6OzvHc5KUg99XNmzfx8/PDzc2tQPl9UN++fYmJiWHfvn0Fqp7Lj8lk4u7duzn+PdjeKltB3xEAYWFhDBgwADc3N3tbroYNGwK5P2eFQoG/v3+ex3zw2YEn+354FqQ2OQXk7OyMr68vFy5cyLUuuy4/r8HKunfvzuHDh/nss8+oVKmSvUtpq1atcgQm+f0KePDG1Wg07N+/nz179rBp0ya2bt3KsmXLaNKkCdu3b0cul1O6dGmuXr3Kxo0b2bp1K6tWrWL69OmMHj2aMWPG5HmcpKQkGjZsiJOTE2PHjiU4OBi1Ws2pU6cYMWJErlKj/Hq7ZP96ehxffPEFCxYsYNKkSXl2k3z//feZO3cuH374IbVr18bZ2RlBEOjZs+cjx2ipVasWQUFBLF++nN69e7NhwwYMBgM9evSwb5OdxoIFC+yNQ+/3NL0dmjZtysaNGzl27Bht27bl5s2bNG3alFKlSjFlyhQCAgJQKpVs3ryZn376Kcf5lClThqpVq7Jw4UL69evHwoULUSqVOdp02Gw2BEFgy5YteX4m93+BTZ48mQEDBrBu3Tq2b9/OsGHD7G0b8ntZFUT2M1GsWDF7nuCfuZ6AfRylo0ePsmHDBrZt28Ybb7zB5MmTOXr0aJ6lrU/iWd7jkPVZ1KxZk3Xr1j12T5SCvh+yPeuekwV9j2W7v0Tg/jz17t2b2bNnM336dA4dOkRkZGSuXnuPI6/r0rJlS7y9vVm4cCENGjRg4cKF+Pj40KxZs0em9U/fV507d+bPP/9k6tSpTJw48YnTOXz4MI0bN86x7Pbt23m2HSzoO8JqtdrbCY0YMYJSpUqh0+mIiIhgwIABuT5nlUqVb0/iZ/3sPA0pyHkMbdu25ffff+fYsWPUqFHjkdsnJiaya9cuxowZw+jRo+3Ls3/p3s/V1TXPXg15/ZKTyWQ0bdqUpk2bMmXKFCZMmMAXX3zBnj177A+yTqejR48e9OjRA5PJROfOnRk/fjyjRo3Ks2vt3r17iY+PZ/Xq1TRo0MC+/Pbt2488z6cVHBzM66+/zsyZM/Ns1L1y5Ur69+/P5MmT7csyMzPzvF556d69O1OnTiUlJYVly5YRFBRkL2rPPj6Al5fXI1+Ej8tisQD3Sjs2bNiA0Whk/fr1OX7t5Fcl1q9fPz7++GOioqJYvHgxbdu2tZcoZOddFEWKFClib/T7MOXLl6d8+fJ8+eWXHD58mLp16/Lbb78xbty4Jz7HBQsWIAgCzZs3t+cJHn09s6uN8vrhUBC1atWiVq1ajB8/nsWLF9OnTx+WLl3KW2+9lWtbT09PtFqtvRfL/a5cuYJMJsvRK/Kfcv/9oNPpCAwM5Ny5c9hsthxfGNnVw9nVGdmf+YP3/JOW9GSnvWvXLtLS0nJ8gT94jR7nPfYo/fr1Y/LkyWzYsIEtW7bg6en5yB5P97t+/XqOUqIbN25gs9lyfLlnB1Pz5s1j0qRJrF27lrfffrvAgd/D7qvg4GC2bdtGQkLCE5XmvP/++xQrVozRo0fj7Oyca0ycvOQVyFWsWJEdO3bkWJbXDwoo+Dvi/PnzXLt2jfnz59OvXz/78geP87KRqqsew/Dhw9FqtbzxxhtER0fnWv9glJr9UD24/Oeff861b3BwMMnJyTlGTI6KirJXVWTL7rFxv+wxN7KLVR/s1qlUKilTpgyiKOZb15xXXk0mE9OnT89z+2ftyy+/xGw259kNXS6X57qG06ZNy/dX7IN69OiB0Whk/vz5bN26NUdJCGT98nNycmLChAl5Xp+n6Ta8ceNGAHu31ryuc3JyMnPnzs1z/169eiEIAh988AG3bt3K9au3c+fOyOVyxowZk+saiaJovxdSUlLsX7DZypcvj0wme2g1z6N89913bN++nR49etirEgp6PT09PWnQoAF//PEHYWFhufKen8TExFzrH3wGHiSXy2nRogXr1q3LUeIaHR3N4sWLqVev3j82mGG2hIQEDh8+jI+PD15eXgC0adOGu3fv5uixZbFYmDZtGnq93l5VEBgYiFwuZ//+/TnSfJrns02bNlgslhzDF1itVqZNm5Zju8d5jz1KhQoVqFChAr///jurVq2iZ8+ej1Wyd397R8Ce1wd7dPbt25fExETeeecd0tLSClRaVJD7qkuXLoiimGeJeEFLKb766is+/fRTRo0alWvoiLzodLpcwa2rq6u9ajz7X37jQhX0HZHX5yyKYq42hS8bqSTnMRQvXpzFixfTq1cvSpYsaR/xWBRFbt++zeLFi5HJZPaifycnJxo0aMD333+P2WymUKFCbN++Pc/SkZ49ezJixAg6derEsGHD7F1uS5QokaNh39ixY9m/fz9t27YlMDCQmJgYpk+fjr+/v70hbYsWLfDx8aFu3bp4e3tz+fJl/ve//9G2bdt8677r1KmDq6sr/fv3Z9iwYQiCwIIFC/614sXs0pwHxwcBaNeuHQsWLMDZ2ZkyZcpw5MgRdu7cWeCuiFWqVKFYsWJ88cUXGI3GHFVVkPU5zZgxg759+1KlShV69uyJp6cnYWFhbNq0ibp16/K///3vkcc5cOCAfcyOhIQE1q9fz759++jZsyelSpUCsj4bpVLJa6+9Zn8Bz549Gy8vrzzbJGWPwbFixQpcXFxo27Ztrus2btw4Ro0aRUhICB07dsTR0ZHbt2+zZs0aBg0axKeffsru3bsZOnQo3bp1o0SJElgsFhYsWIBcLi9Qo0+LxWJvc5aZmUloaCjr16/n3LlzNG7cmFmzZj3R9fzll1+oV68eVapUYdCgQRQpUoSQkBA2bdrEmTNn8szL/PnzmT59Op06dSI4OJjU1FRmz56Nk5MTbdq0yfccxo0bZx9javDgwSgUCmbOnInRaHysMZ4KauXKlej1ekRRJDIykjlz5pCYmMhvv/1m/3U+aNAgZs6cyYABAzh58iRBQUGsXLmSQ4cO8fPPP9ufV2dnZ7p168a0adMQBIHg4GA2btxY4PZieXnttdeoW7cuI0eOJCQkhDJlyrB69epcbS8e5z1WEP369ePTTz8FeOyqqtu3b9O+fXtatWrFkSNHWLhwIb179841Nk7lypXtAy+WLl2aKlWqPDLtgtxXjRs3pm/fvvzyyy9cv37dXl134MABGjduzNChQwt0Hj/88APJyckMGTIER0fHh16HqlWrsnPnTqZMmYKfnx9FihR5rGFMCvqOKFWqFMHBwXz66adERETg5OTEqlWrnks7mmfq3+jC9aq5ceOG+N5774nFihUT1Wq1qNFoxFKlSonvvvuueObMmRzbhoeHi506dRJdXFxEZ2dnsVu3bmJkZGSu7q2iKIrbt28Xy5UrJyqVSrFkyZLiwoULc3UH3LVrl9ihQwfRz89PVCqVop+fn9irVy/x2rVr9m1mzpwpNmjQQHR3dxdVKpUYHBwsfvbZZ2JycrJ9m7y6kB86dEisVauWqNFoRD8/P3H48OHitm3bcnVdbdiwYZ5d1PPrBv+g+7uQ3+/69euiXC7P1dU5MTFRHDhwoOjh4SHq9XqxZcuW4pUrV3J108yvm60oiuIXX3whAmKxYsXyzdeePXvEli1bis7OzqJarRaDg4PFAQMGiCdOnHjo+eTVhVypVIqlSpUSx48fL5pMphzbr1+/XqxQoYKoVqvFoKAgcdKkSeIff/yR6/PIlt3lfdCgQfnmYdWqVWK9evVEnU4n6nQ6sVSpUuKQIUPEq1eviqIoirdu3RLfeOMNMTg4WFSr1aKbm5vYuHFjcefOnQ89N1G81100+59WqxWDgoLELl26iCtXrszRJfjB61KQ63nhwgX7M6JWq8WSJUuKX331lX39g/fqqVOnxF69eomFCxcWVSqV6OXlJbZr1y5Xunk9Y6dOnRJbtmwp6vV6UavVio0bNxYPHz6cY5v7u/s+eD753V/3y6sLuU6nE2vXri0uX7481/bR0dH2+1upVIrly5fPs0t1bGys2KVLF1Gr1Yqurq7iO++8I164cCHPLuR5dfnPq3tyfHy82LdvX9HJyUl0dnYW+/btax8S4P40C/oeyz7Gw4a4iIqKEuVyuViiRIn8L2I+eb906ZLYtWtX0dHRUXR1dRWHDh0qGgyGPPf5/vvvRUCcMGFCgY5R0PvKYrGIP/zwg1iqVClRqVSKnp6eYuvWrcWTJ0/at3lYF/JsVqtV7NWrl6hQKMS1a9fmOM/7XblyRWzQoIGo0WhE4JHdyfNKQxQf/Y4QRVG8dOmS2KxZM1Gv14seHh7i22+/be/+XZB7TBSznrshQ4bkWv7gNfm3CKL4HFoCSSSSAlu3bh0dO3Zk//791K9f/3lnRyJ5KnFxcfj6+jJ69Gi++uqrf+w4U6dO5aOPPiIkJCTP3j6S/wapTY5E8oKbPXs2RYsWtVdHSiQvs3nz5mG1Wh/ZpftpiKLInDlzaNiwoRTg/MdJbXIkkhfU0qVLOXfuHJs2bWLq1KmPPQWIRPIi2b17N5cuXWL8+PF07NixQFOlPK709HTWr1/Pnj17OH/+POvWrXvmx5C8XKTqKonkBSUIAnq9nh49evDbb7+9tLMTSySQNTJ89rAFCxcufKrB8PITEhJCkSJFcHFxYfDgwfnOfyb575CCHIlEIpFIJK8kqU2ORCKRSCSSV5IU5EgkEolEInkl/acq+W02G5GRkTg6OkqNOCUSiUQieUmIokhqaip+fn75zpmVl/9UkBMZGfmvzE8jkUgkEonk2btz585jTSj80gQ5VquVb775hoULF3L37l38/PwYMGAAX375ZYFLZbKHSL9wZSqOjrlnyZVIJJL/qvCMS0RmxHMyJZDb8R6440s11yefnV4ieZYM6ekMadMi36mJ8vPSBDmTJk1ixowZzJ8/n7Jly3LixAkGDhyIs7Mzw4YNK1Aa2cGQo6MGJycpyJFIJBKAsPQLJMlTuWArSUSmJ50Caj3vLEkkeXrcpiYvTZBz+PBhOnToYJ+gMCgoiCVLlnDs2LHnnDOJRCJ5+cWIVbDaPPFA+gEoeXW8NL2r6tSpw65du7h27RoAZ8+e5eDBg7Ru3fo550wikUgkEsmL6KUpyRk5ciQpKSmUKlUKuVyO1Wpl/Pjx9OnTJ999jEYjRqPR/ndKSsq/kVWJRCJ5aYSlXyA8I46TUTKSDQqpJEfySnlpgpzly5ezaNEiFi9eTNmyZTlz5gwffvghfn5+9O/fP899Jk6cyJgxY/7lnEokEsnLISz9AmcTwjiWEISDoQ5t3aTJLCWvlpdmWoeAgABGjhzJkCFD7MvGjRvHwoULuXLlSp775FWSExAQQGjELKnhsUQi+U/LLsE5ktiS9AQNNaUAR/ICy0hL442GdUlOTsbJyanA+700JTkZGRm5BgCSy+XYbLZ891GpVKhUqn86axKJRPJSihGrPO8sSCT/qJcmyHnttdcYP348hQsXpmzZspw+fZopU6bwxhtvPO+sSSQSyUsrNCFRaocjeWW9NEHOtGnT+Oqrrxg8eDAxMTH4+fnxzjvvMHr06OedNYlEInmpHI7dS3xmBicTZHhQR6qqkryyXpo2Oc9CSkoKzs7OUpsciUTyn5TdDudYchFuxXnigZ8U4EheCq98mxyJRCKRPL0YsQq34hS0dZNGNZa8+l6awQAlEolEIpFIHocU5EgkEsl/QHZVVUhK4vPOikTyr5GqqyQSieQVlx3gbIn0ItmQ1RZHIvkvkIIciUTywrFabVy5EoEx00xwsDfOLrrnnaWXljSqseS/TApyJBLJC0MURebN3cPUKesJDY0HQK1W0K17Xb4Z2wM3d8fnnMOX001jWRwMFaWeVJL/HKlNjkQieWFMGLeKjz+YS50qJnasKMSJ7QF89ZEzmzceol3rb0lOSn/eWZRIJC8RKciRSCQvhJs37vLj9+sYO9ydhdN9aFJPS+XyakYOc2P/2kKEhcbwv2lbnnc2JRLJS0QKciQSyQth4YJ9uLkq+OQ9l1zrShVX0q+7ngXzd/MfGr9UIpE8JSnIkUgkL4TQkFgqllWiVuf9WqpZRU10dCqZmeZ/OWcvr+xeVRLJf5XU8FgikTw2q9XG4UNXiIxMxMvLifoNyqBQyJ8qTWcXHedOWRFFEUEQcq0PvWNGo3FApZJeWwWRu9u4RPLfI70tJBLJY9m86RSfj/jT3vsJwM/PmdFjetGjZ90nTrdrt1rM+2M3G3ek81oLfY51aek25ixOo3OXWshkUgH0o0jdxiWSLNLbQiKRFNi2rWfo2/tnyhTL5OAGf9JuBXN8WwB1q1l59+3fWLrk4BOnXaduKZo0KUvfITH8sSSZzEwboihy7HQmrXtFkZgiMOzDds/wbF5d4RlxXDN0wsEgzTAu+W+TghyJRFIgoigy+ouFNK2vYd18X2pX06DRyKhSQc2S33zo2UnPN18txmy2PFH6giAwb+EHNGlWmbc/jsGjzG28yoZQu80dImI0rFo7khIlpZF6JRJJwUnVVRKJpEBOnbzFtWvRTJ9QCLk8Z5sZQRAY+b4bS9eEsWf3BVq0rPREx3B01DBvwQfcvHGXbVtPk5lpplz5wjRtVgG5XPpNVhBh6RcACE1IxAPNc86NRPJ8SUGORCIpkOi7SQCULanMc32ZEsoc2z2N4GI+DB7a+qnT+a85HLuX+MwMjiUE4YGfVFUl+c+TghyJRFIgPr6uAJy/bKJp/dyvjgtXTDm2k/x7sntSHUsuwq04TynAkUj+JpX/SiSSAqlcpQilSvny3bRErNacA/KJosiEqQn4+jrRqHHZ55TD/7YYsQpWWwkpwJFI7iMFORKJpEAEQWDcxNfZd9hAm96R7D2cQXKKlaMnDXR5I4qVG9IYO/51HBykAmKJRPJikN5GEskrLCwsjhPHbyCXy6hdpyReXs5PlV7TZhVYsvwTPh/xJ027RNiXBxR2Y868AXTuUutpsyyRSCTPjBTkSCSvoLjYFD76YA6bNp4ie6onBwcZ3XvU5bsf+qHXq5847eYtKtKs+Y8c++u6fcTjWrVLSr2fJBLJC0cKciSSV0xaWiYd2o0nLiaWGd970aWtHrNFZMnqVL7+4TChoTGsWT/qqaZhEASBmrVKPMNcS54Fqdu4RJKTFORIJK+YhX/u49q1KE7vDKBMSZV9+YfvuFKxnIpmXa+yZdMpXutQ/TnmUvKsZHcbP5kgwwNphGOJ5H5S+bJE8opZsmgfHVvrcgQ42RrX1VKrmobFi/Y/h5xJnqWw9Ascjt3LseQi7IhoJE3hIJHkQQpyJJJXTHR0EuVK5T1gH0C5kg5E3038F3Mk+adI3cYlkoeTghyJ5BXj7e3C+cumfNefv2LG20casE8ikbz6pCBHInnF9H69Ieu2pnPxqjHXut0HM/jrpIHefRo8h5xJJBLJv0sKciSSV0yfvg0pUdKPpl2i+G1+EnHxVqKiLUyekUjH/nep36AUrdtWed7ZlEgkkn+cFORIJK8YvV7N+o1fULteRd7/PA7vcrfwr3SbL79LpFOXuixZ/slTdR+XvFhCE6T2VRJJfqQu5BLJK8jdw5H5Cz/gzp04Tp28hUwQqFWnBJ6eTzfiseTFIHUbl0gKRgpyJJIXjMFgYsniAyxZuI+oqAQ8PZ3p2bsBffo2fOyRigMCPAgI8PiHcir5t0mzjUskj0eqrpJIXiDJSem0bTmWzz6eh697LAO7ywn2T+DLzxfRosloYmOTn3cWJc9ZjFiFW3GetHWrJQU4EskjSCU5EskLZPinfxJyO4K/tgRQpcK9UpvL10w06xbJ+4Nns3TFp88xhxKJRPLykEpyJJIXRHR0EqtXHeWrj1xyBDgApUsoGf+5G9u2nuX2rejnlEOJRCJ5uUhBjkTygjh18hYWi40u7fR5ru/69/K//rr+b2ZLIpFIXlpSkCORvCAEQQDAas17vcUi5thOIpFIJA8nBTkSyQuiRo1iqFRylqxJzXP9krWpyGQCdeuV+pdzJnkRHI7dy9mEME5GheOB3/POjkTyUnipgpyIiAhef/113N3d0Wg0lC9fnhMnTjzvbEkkz4SbuyO9+jRg/NREdh3IyLHuyAkDX05MpGOnGvj7uz+nHEqeB2m2cYnkyb00vasSExOpW7cujRs3ZsuWLXh6enL9+nVcXaWJBiWvjvET+3D71l1adL9M7epaKpZx4NI1M/uPZFC9elGmTH3jeWdR8hxkj4vT1q3W886KRPJSeWmCnEmTJhEQEMDcuXPty4oUKfIccySRPHtarYqVa0awedMpFi3Yx6FT8Xh5uTD7jwa071AdpfKleWQlz5hURSWRPL6X5o25fv16WrZsSbdu3di3bx+FChVi8ODBvP322/nuYzQaMRrvzcSckpLyb2RVInkqCoWc9h2q075DdSw2K5lWC0armThzGqJJREAAARSCDI1CiVrhgEKQvdINkq9fi2LD+uNkZBgpUdKP9h2qo1Yrn3e2JBLJC+6lCXJu3brFjBkz+Pjjj/n88885fvw4w4YNQ6lU0r9//zz3mThxImPGjPmXcyqRPD5RFEk2GYjOSCEuM40Uk4Fko4EMi6lA+zvI5DirNLgotbiqtXhpnPDQ6JELL1Wzu1wyMowMfW8Wa1Yfw1Evx9VFQVi4kVHD/+R/M96hdRtpNnWJRJI/QRRF8XlnoiCUSiXVqlXj8OHD9mXDhg3j+PHjHDlyJM998irJCQgIIDRiFk5Omn88zxLJwxitZu6kJXInNYHI9GSMVnOe28kEAZVcgUrukFWKA4iImG1WMi1mrKItz/0UMhleGif89a4EOrrjqLw3wOCVKxH88fsuzp+7jUrlQMtWVejdpz7OLrpnf6JPoW/vn9iz6yxTx7vTu5MjKpWM67dMDB8bz+ZdGWzY/AW1apd43tn8R4WlX2B1lCMpcRWlBseS/6yMtDTeaFiX5ORknJycCrzfS1OS4+vrS5kyZXIsK126NKtWrcp3H5VKhUql+qezJpEUmFW0EZaawNXEu0RlJHP/bwy5IMNDo8db44SLSouTUo2zSoNSpsi3KkoURSyijTRTJkkmA0nGDOIz04jOSMFotRCZnkRkehLHom/jrtYT7OzJ7iVn+HrUUrw9HWhaX01yqo3RX17h5ynrWbl2BOXLB/5bl+Ohzp8LZeOGUyz41Zvene+91IoXVbJ8tg8124Qz+Ye1rFg9/DnmUiKRvMhemiCnbt26XL16Nceya9euERj4YryQJZKHybCYuJQQyfWkaAyWeyU2riothR3d8de7PlH1kiAIOAhyXNU6XNX3SmFEUSTJmEFkRjKhKfFEZyQTn5nG8Us3WX74EH0/92XCAB1+jlnBU0SUhY79o+je+Xv+XPwRcbEpuLs7Uq16MDLZ86nyWrP6L7w8HOje3jHXOgcHgXf7OTF4xHmSkzNwdtY+hxxKJJIX3UsT5Hz00UfUqVOHCRMm0L17d44dO8asWbOYNWvW886aRJKvdLOR8/HhXE2MtlcraRQOlHDxobiLF07Kf6baVBAEe+BT1s0Pg8VEaGo8K+cepFAhB2q0cmJdNASliVRzs1HIV8Eng53pNzSaFk3utWMrUsSD0WN60rFTzX8knw+TkpKBj7cChSLvUqwAPwWiCGlpma9skBOWfoHwjDggd6AnkUge7aUJcqpXr86aNWsYNWoUY8eOpUiRIvz888/06dPneWdNIsnFZLVwNu4OFxMisf1dJeWpcaSceyEKO7r96w2CNQolJZy9+WvWJcaO86K4o8jNNIGQdIGQdDnmu0Y+/zyeKhVUfPmRG9Uqqrl+y8zk3xIZ2O9/mH630L1H3X81z8HBPiyYbyQ2zoKnR+5X1cG/DDg5qfDweDUDgLD0C5xNCONYQhDJBk/aSu1xJJLH9tI0PH4WUlJScHZ2lhoeS/4xoihyMyWWE9Eh9p5R3lonKnkE4Kdzea7dvC0WK56uA5g+yYt3+jmTaIKTCTJupAn8vjgFrDZ+ec+RGl6gkN07nz6Do9l9SOT85V9QqRz+tfzGx6VSttQwBvbU8b+Jnjmu3c0QEzVbR9C9VxO++77vv5anf8vh2L3EZ2awI6IRHvhJDY4l/3lP2vD45e5fKpG8QNLMRraFXWR/xDUyLCaclGqaBZShTWB5Culdn/s4NieO30Quh3Vb0gBwVUIzHxuVzJncPptBnVpazqbJWXZHTqQhax9BEPjqIzdiY9PYse3sv5pfdw9HJn7fl9/mJ9OqZySrN6Vx+LiB8T8lUKddBG7ubnw2vOO/mqd/0zVDJynAkUie0ktTXSWRvMhuJsdy5O5NTFYLCpmMih4BlHUrhOI5NdrNy/VrkVitsG1vBnOXJjOwpzMAqTEmkg4n0eU7N0IUkGKG9RFyKrvaqOYmUrqEEpVKRmRkwr+e54FvNMHTw4kff1hDt7fCANBqHejWvR5fjO6K+ytaVSWRSJ4NKciRSJ6CxWblcNRNbiTHAFntbhr4lcBZ9eJVh+r0WePk9OniyFsfxTBnUQptmuq4diurWs1wJ5NejeQcipNxJUXgVKKMCINIcbMRo9GGh2fBi4ifpXbtq9H2tarcCYsjLT2TgAAPHB1fvOsrkUhePFKQI5E84MTxG8ycsZ3Dhy4hiiK1apfmnfdaULNWzkHn0sxGdt+5TFxmGgJQybMwFT0CkBWgWioiIoEli/Zz+1YMzi5aOnepRdVqwf9olVbTZhXQah0I8JOz6g9fZsxLZursJFQq8HCT8eP0RJo31NLYy0ZhrcDeGBnRmQLztllwC9LTqnXlfyxvjyIIAoUDPZ/b8SUSycvpxSlLl0heAH/M2UWLpmM4ffwU/brIGNBNzoUzZ2jV/Ftmzthm3y7WkMqG22eIy0xDJXegZWA5KnsWLlCAM/WnjVQs+yFTp6zl1tWTbFizh+ZNxtCz22TS0jL/sXNzdtby7uDWfP9rErdCzaye60v0xaKc3xtI84Za9h4y0GlgFCfPZlJUZ6Oq1cD2jckcv2Ci1ae1iDAl/WN5k0gkkn+CVJIjkfztwoUwPv1oHoMHOvPzt57IZFkBy9gRIiO+jWPk8IXUrFUC92LO7Im4gsVmw1Wlo1lA6RxTJjzM0iUH+Wb0MoYPdeXzD9xw1MuwWkXWbknjjQ8v8P7gWcz9cxiQ1Rtq+dJDzJ2zk2vXItFqVbRrX4P3BreiaLD3E53j5192IT0tk+FjtzN2ciKFCym5fceEySTSqUtNjv11lRqt7ti3d3XX0uvrpgRX9+NA5HVSTZlU9iz83BtRSyQSSUFIXcglkr99OOwPdmw5yO3jgbkGoLNaRYrXCqNqm2rUe6sCoijir3elUaGSKOUF+60giiK1qn1GmeB0Vv3hm2v9H0uSefvjGI4e/w53d0c6tp/IxQvhtGikpVkDLXdjLCxcmU5GpsCylcOpU7fkE59rWGgsy5cfJi42BT8/N7r3rIuPjwtWq429ey4QficeDw9HmjSrgFrtwMnYUM7FhQNQ1s2PGt5FpEDnH3Q4di9HEluSnqCReldJJDx5F3IpyJFI/la31ggaVEvn1++88lw/aGIiB1P0DHqvJUWdPanvV/yxBvW7fi2KGlWHs3GhH62b5p4IMzPThnupW8jkDhiNZhBF1sz3o22ze9umpdto3y+KS9dlnLs0FbVa+fgn+oQuJURy9O4tQAp0/inZIxwfSy7CrThPqQu5JF8Ws5nTBw8QGRqCRqujWqNGuHk9WQnvy+CVn6BTIvmnyWUyTOa8Y/5baQJRrhpk6QLFnL2o51e8QO1v7mcwGAHwcJfnuV6tluHkKMPHS+TSVZHeXR1zBDgAep2M3773pHS9UNauOUbPXvUeKw9Po4ybHzJB4HDUTS4mRCIIAtW9gqRA5xnJDnC2RHr9PcJxreedJckL6uzhQ0wfM5rkuDgUOi3WTCNzf/iOJh07M3D4SBQO/96gnS86qeGxRPK3ho0rsHZLBhkZthzLIw2wNULg8nUzZbz8nyjAAQgM8kKjUbBzX0ae689dMhITZ6VPFycsVujYWp/ndiWClZQtqebkiZuPnYenVcrVl7q+xQC4EB/B+fiIfz0Pr6L7S3AcDHWkAEeSr2vnzjLpo2GYPT0oNPxjAiaMpfCEMbi2b8ee9WuZPf7b553FF4oU5Egkf3vzraakZ0DfodGkpmUFOvFGWBcmY9WWdFJCjXzWpd0TBTiQ1bupa7e6/Dw7met/j02TLTPTxidfx+LgAN//L2vQPUNm3qVKoihiyBRRKPIuEXoSoSExfPX5YmpV+4wqFT7kjf7TOHTwSp7blnT1oYZ3EQBOxITYxwiSPJ0YsQpWW4lHbyj5T1sxcwZKH2+83hqAspAfADK1GufGDXDt1J59G9YRFRb6nHP54pCCHInkb0FFvPhj/vts3ZNJQOUQeg69S59p6UyansSFYxn88G4fSpb0e6pjfD2mB1qdE9VahPHpN7Gs2pjKT78lUrlZGIdPZLLkN1+8PRU46gUWLE/JM40jJzK5FWqkSdPyT5WXbHv3XKBOzZEsXriDhjUy6NzKyuXzZ2nXejwTxq3Kc59y7oUo4+pL9N0kFh85zLnbYXluZzSaOXH8BkePXCM5Kf2Z5Fci+a9KTUri/NEj6OvVQVDkbm2ir1kduUbD4W1bn0PuXkxSmxyJ5D5t2lbh2KkfmDd3N3tjrmHLhOoVvRnZrh3Fi+buEfW4Dh26Qnh4AjYb/L4wmZ9mJqFQQKc2epb85kulciocHKBDvyi27slgws8JfDbEFQeHrNKjy9dM9BsaQ5kyfjRt9vRBTkJ8Kv36/Ez9mkpW/O6DTpv1u2fSVyLf/y+RzyespXKVIrRuUyXHfsuWHuL7iauIczeiLqRmgXEfVRSFmPhtX4oGe2Oz2fhp8kZmzthCbGzWXFkajYLuPeoxZlwvnJ21T513yX+LKIrcuHCe43t2YzIaCSxRgtotWqLW/HfupfTUVAAUbm55rpc5OODg4kxaSt4/kP6LpCBHInlAQIAHrd6pTqF4PxQyOa8VqYir6ulfpMlJ6Qx+5zfq1lBz4Ggmp3cVxtlJjk4roFLdK1Rt3USHIIAowleT4pk+L4kGtTVERVvZf8RAUJA7i5d9guwZzIu1eNEBjEYz837xswc4kDXC8Ij33Vi/PYPfpm/JEeTMmrmDEZ/+Sac2et4Z6MxVrYazoVYO7IigVYtv2L5zDFN+XM+ihft4p58z/boHoNUIbNiWzg/TD3D27G02bvkSna5gYwtJJKlJSUwZ/gmXT57AwdkJuVZL5rIl/DnlR4Z+O56qDRo9cdqG9HT+2rWT+LtROLq4UrNZM5zd3AGwWa3E3Y0CQcDDx/eZPHNPw8XDHYVSiTE0DE3J4rnWW9PSMMXG4V2o0HPI3YtJCnIkkgeEpyXaG9TW9yv+TAIcyCr9MBrNvP+mNweO3iUtQ6RIYO52NQnJNhRuDngGKenay4VjF80cjLdh9hJo9k05mjevyG7DdZRXb6N3UKF3UOGs1OCldcJb64hKXvCeFQcPXKZBLTVeHnm/Crq/pmPEuGuIooggCCQmpPH1l4sZ8oYzU8d5IggCNc2wwkVFyWAHZsRF88lH89i96zyzJnvxZm9ne1rlSqlo3VRHrTZhzJ2zm6HD2jz+RZT854iiyPcfDeP2rZt4vz0QTZnSCDIZ5vgEEteuZ/JnnzB2zjyKlXv8ks1dq1fx508/YjQYcHByxJKWzvwpP/Da6/3QOjqxZdliEqOjAXD386Ntrz606tn7uQU7ao2Wui1bc3jfHvQ1q6NwvteVWhRFkrbuQCaTUbeV9Gxlk4IcieQ+BouJA5HXgKyeREWcPJ5Z2hfOh1GpnJo2TXW4ucqYuySFKWOz5mMyWuFWusCNNIGV+024NXDFQa1g6UEzAIFFvahVqyRBRbLG8BFFEaPVjNFqJj4zqzqIeBAAV7WOIk4eBDt7oXdQ5ZmXy5fD+eG7tWzfdobGdfMfM8pmAxD4ZvQyTp+6SfTdZCwWK19+5GbvOu7kAA29bOywyajb2YVV310l0F/JwJ65x7KoVE5Fl3Z6Fv65RwpyJAVy4fgxrp87i897g9CUutcw28HdDc8BfYn64SfWzfuDT3786bHSPbR1C7PHj8WxVg28WjZH4eaKNT2dlH0HWTt3DgD6GtXw7tgOREg/fYY/p/xIyLWrvPf12Oc2dEL394Zw9uhh7v40DccmDdEUC8aSkkLqgcNkXLjIgOEjcXRxeS55exFJQY5E8jdRFDkcdRODxYyrSksN76Bnmr5K7UBSsg21WmDYWy6MnZyAf3EVZZs6E2KQYbXBpesmdh/MpHLZIAb2bILKJMdNq8fb1Qmtgwq5ICBmZZZMq4U0cyapZiOJmenczUghxWQgITOdhMx0TsaE4qtzpoyrH4Ud7wUlp07eouNrE/B0g9da6Ni8K52oaAu+3jlfB6Iosmh1KlarlT/nbqN5QzURoUYK+chzlfwU04uEO4mEejugq+hISavBPi3Gg2pUUrFua/wzvbaSV9dfO3eg8vREnUf1jCCXo6tZg5PrN2Ixmws8PozNZmPpjP+hK18O957d7M+GXKfDtU1LRIuFlH0HcO/cAZkm60eAtmxp1CWKs3/RUuq2aEXFOnWf3Uk+Bndvb8bNXcCCnydzfO0GEqxWAHwCg3hz/HfUbdX6ueTrRSUFORLJ326nxBGaGo8gCDQoVAKF7Nl10QZo1boyv8/ayYGjmbz9rhtnbUp+OGzD8Vwynh4KYsOMRF3IoH7ZEvwxbBAaTd6lMNm0Dirc1DkHC8ywmAhPS+RmcgxR6cn2f25qHZU8Aiisd2PIu79RqpiMnSv8sFhEitUKoe+Qu6yc44uLc9Y5W60iYycncPq8kZaNtaz83RetVsb3/0tg/M8JpGfYcrThAajrYWN1khm5Vk6UNf/2NrfCzLi55R7xWSLJS6YhA5mTY74lJ3JnR2w2G2aTqcBBzu0rl4kND8enY7s803VqWJ/kXXvIuHAJffWq9uX66lVJ27ufnatXPrcgB8DD15ePJv1IckI80eHhaLRa/IOLSQNz5kEKciQSwGg1c+TvKQsqeQTgrs57IL6n0bhJOSpULczAaan0eFdN044ulI2xcOlwKqc3x3H7spHx3/XmvcGtnvhlpVUoKeHiTQkXb9LMRq4kRnEpIYqEzHR2h18hJSKd6xExbP3DB70uK0hZM9eP9v0iCax6mw6t9Dg5yti0M52wcAsebjI2LvSzl8p07+DI5xPi+X1hMh8Mcs1xbNEicmhhPF7lfYmOTmbtoUw61s0Z7MTEZc2/1W9gyyc6P8l/T6GgIhzeuQObwWAvVblf5vWbOHt6otYWvO1c+t+9j/LrpaRwdgK5HJvBkGO5IAgog4sSHhJS8BP4Bzm7udsbSUvyJgU5EglwMiYMo9WMi0pLBQ//Z56+KIqEpMbT+8fmLFy6j7lLUvC0WXFPM3LiaAZmM0yd9ib9BjR6ZsfUO6io5hVEObdCXEyI5GJCJDdjYnBv4oZjaS1WEeQC1K+l4eL+QGYtSGbtljSu3DCh0wgo5Fld2++vdgoKcODd/s58NjaODIPIO/2ccXOVc+pcJp9PSODSiUwmjGjAwu0H+WBuPEkRJnq216NUCuw6kMEn3ySgVGl4d7AU5EgKplH7jqyYOYPEzdtw69whxw8A451w0k+cosvANx/rh4FXoaxn3Hg7BAf33IGO8U44WK0o3HMHENbkFLS6rJLIiNu32L5iGZdOn0YQBCrUqEnzrt3x9n/27xDJk5GCHMl/XnxmGlcTowCo5VP0sSbdLAiLzcrhqJvcSI7BQatg2DttsV0zcXDTRTKUJj761J++/Rri7e3yTI+bTa1woKpXICVdfQg5excEgX0RAiEZAi19bDg5gJ+Pgm8+c6ddcx01W9+hWm01V66bmb0wBY1axpSxHvYvkZ+/9USlFBj9fTxfTYpHpZKRmWnD39+FJcuHUKdBKXCTsXr9Xwz95TrvfRaDQiGQkWGjXHl/1m8aiq+v6yNyLZFkcfX0pP+nw5k7aSLmqLvoa9VAptNhuHKV9CN/EVS8OG379nusNH0CAihdtRq3du5GW64MMvW9EkfRaiVx4xbkzs5oSpfMsZ8lIZGMCxepM+xD9m1Yz29jv0ah06EqVwZsNrauWsHWpYv5YOL3VG/c5Jmcv+TpSEGO5D9NFEWORd9GBIo4eeCnc3mm6aeZjey+c5m4zDQEoJJnYcq7+6MoLqNH2zrP9FjZsrt7P0jvoGJwk6b8Pn4rZ06r0dXVsjpcTksfK75/1wLMWpCMj5ecjQsLIZPB9LnJfPhVLCWLOfBufxcA4hOt3A4zI4pZY/lkZtrQ65X06tOQho3KIpfLqBdYAqGrjBZNK6G8YEM026hcpSi1apeQ2g08IHveqpAUR0ITFHiQf2+3/6qW3Xvi7u3DmrlzuLlgMQA6Z2fa9uxN57cGPdGAgAM/G8noNwcQNfkXHBs3QBXgjzk2jtR9B8gMDUPh6oIx7A6qwKxZ4I23Q0hYthIXdw+KlCnLt++8hb5mddy7drKPPmwzmYhbtJSpo4YzZdVae4mR5PkRRFHMe4KcV1BKSgrOzs6ERszCyUl6kUjgTmoCO+5cQiYIdAmuiqPy2Q1QF2tIZUfYJTKtZlRyBxr7l3zmQVS2yMgEpk/byvJlB4iLS8Pf35U+fRvxzrstcXHN2cj3i5EL+f3Pnbw1rhAlKmhQOghU01nYvDiBb35I4KexHgx7+15JS693ojh9wcilA4Ekp9io3fYOSSk2Rn/sRttmOlLTbcxbmsLU2Un06l2f/80YhE0UWXfrNInGDMq7F6L633NdSXK6f2LOW3GeeOBHTbfCzztbL7TkhHhMRiOuHp5PPdv2nZs3WPzLVE4fOpAVsQMlKlaiSafOrPnjd6LDwlC6uYEoYkpMxLdIET6b/DMb5s/j0P69+H01EkGes4OCzWQi4utxtO7WnT7DPnqq/EnuyUhL442GdUlOTsbJKffwFPmRSnIk/1miKHIyNmsiuzJufs80wInJSGFb2EXMNituah1N/Us/0/Tvd+1qJK+1GYfFbGBADz3Finhx5kIm035ez6oVh9m07Ss8Pe8NyjdmXC9SUzOZ8fF+fBu44F5MQ0KihaQzBr740I3333LJkf7r3ZxYvj6SUePj+OtkJuGRFs7sLkyxIkr7Nj9+40mp4kre+fQAb7zVjCpVi1LVK4iddy5xKSGKsm5+aPMZs+e/6sEA52WdeTwlMZFDWzcTGxWJo4srdVu2emYlGOmpKZw+cID0tFR8/AMoX7PWM21oGxBcjBFTp5EUF0d8TDSOLi54+WWNFtygTTvOHD7E5dMnERAoW6065WvVRiaTce7YX6grls8V4ADIlErU5cpw/vixZ5ZPyZOTghzJS+3ChTDWrv6LlBQDxYr50L1H3VwlF/kJS00gITMdB5mcCu7Prlj5/gDHR+tM88JlcHjG3dGziaLIe4Nm4O5sYvfqgPvGr3Hm43dNNOwYyYhP/+SP+e/b91Eo5Pzy61sMHdaG5csPse3ieWR6K59PDaBdMAhCzsJdtSqremnmAgNGo4kBPRxzBDjZBvZ0YvxPSSxauJ8qVYsSoHfFS+NIjCGV8/ER1PQp+o9cg5dZ1szjni9tFdWmRQtYMm0qNkSU7u6Yk5JZNv1/NOvSlYGfjUSexySSjyKKIpdPnuCPSROJCLmNaLOBTAY2G+6+vgz6YjQVaz/bql4XDw9c3N2RWzNRGBOR2UzIbBYaVipMw0qB8Pf4VLbMaKwyFXoHG6kPa7onCPyHKkleaFKQI3kpZWQYefftGWxYfxIPdwe8PRXM+yOTb0YvZdIP/ejbv9FD9xdFkTNxd4CsUhy14umKvbPFZ6ax/c6lfyXAATh96janToWwfoFfrgH6ihdVMmqYC5+OOUF0dFKuhs0lSvrx5VfdqLQ+iHfHzyHD4MiBWAUKwUYpp3sv6LVb0vDycuT85al4u79BpXJ5l0jJ5QIVyjoQEZ410J8gCFT2LMy2sItcSbxLeQ9/tIrcwZHk5bR3/VoWTPkRp0YNcGneFLleh81kIvXwX+xavQqlUkW/Tz57rDRFUWTBTz+yedFCAJybNcGpQV0Uzs4YQ8NI3LSVSR++z+jfZlOqcpVHpJY3udWIOjMOtTEBlSkFlSkJB3MqCosBoYCByZfNXImMPItDhjupMjXJMg3xgpZ4mY4Yq4o7Fy9RtkOnJ8qf5NmSghzJS2noe7PYvfMM86d506ODIw4OAtGxFr76Lp5hQ+fg4emUa+bs+0VlJBOfmYZCJqOsm98zyVOG2ciOsEuYrBa8tU7/eIADcObMbWQyaNU474aX7Vro+PCrWC5euJNv761WbargPmohWxYk0GuoJ3tjZOgVVvy1sOtABnMWp/LBR+1RKh3w8NBx/ZYpz3REUeTaTQs16tyrL/fTudhLcy4nRFHVK/Cpz1ny/NmsVlbMnomuckXcO7W3L5cplTg3qo/NaGTbimV0fONNnFzzHosmLwc2bcwKcGQyXFo2w7VVC/s6VWBhvN95k7s//49lM37l61lzCpSm3GpEHnudtMuHcbImUchd+9CGyla5CqtciU1QIMoUiAgIZLWyl4lmBFMGCXEJ2AyZcOUCXiVL4G3Lmh1cFEUyLlwkqaKVhk0Lo0q4SKquECaVS67jmE0m/tq5g6tnzyDIBMpVr0HVBo2eqPRLkj/pakpeOlevRLBm9THm/OzN613vfaF6eyqY+aMXt8Is/DhpzUODnIvxkQAUc/Z+JqU4FpuNXeFXyLCYcFZqaBbwzwc4AEoHBTYbpGfYcHLMfbyUVBsAKlX+j7pCIWf+wg/p1H4iUxKjqdLUkaM6gZhdiWzfmkqTJuX4+NOsL7IePRswf9EOPhviirdnzjTXbU3n2k0jk6fVsy8TBIGy7oWICb/ClcQoKnr4E3orlpUrDhMfn4a/vzs9etX9x7rPS/4Zt69eIT4yEp8uHfJc71SvNklbtnFy/z4aP0aJxsZFC3Dw8cEcG4tTg3q51gtyOY4N63N5wWLio6Nx9/YG4MrpU2xatIALx49hE0UqVy7H650aUaWwjpv7NnD7yiWsZgsAZ2QynANLUr51d0wqF67cjCDFosC7eDncCgcjCg9/bvdv2sD09dH4NGuAuPIA7t6x+JULxlNhwik6FA9ZJqVKlyBQlQ4xf+EDGFXOpOoKk+IYhEHtwfUL5/nhk49IiY9D7eeLaLOxffkyPAv5M3LqNPyCinD3ThimzEw8/Qqh1T/7wUn/K6QgR/LS2bjhJE6Ocnp1zP3gC4LAu/2d6PF2CHfuxBEQkHuCzVRTJuFpCQDPrBTnZEwIsYZUlHIFzQLKoJL/O49W46blkcsF/lyeytA3XXKtn78sBVdXLVWrBT80nUqVi7D/8ARmztzOltPnsKhE3Dy9+WlaN3r3ro+DQ9b5DH6/FStXHKRJl0gmfuFGm6Y60tJtzF+WwpeTEmjeogJ165XKkXagozuODmqSjRkM/vJ3Vkw7iIuzAn8/B26GGPl2zHJGfdHFHkgV1JnTt5n3x24uXwpDo1XR9rXq9OhZT+o5+S/ITE8HQOHsnOd6mVaLzMEBQ3pGgdPMSEsj7NpVtOXLYjMYkOczgrGDZ9YznZKYgLu3N9tXLOeP78aj9fOmSsvKVNRn4JN4m9j1Zzjk7Ex6Wiqp/sWJKlyOMLkLt8+HcXfFbrTrfsCYmYnpvlGNK9Spy6AvRuPh45NvPvdv2oimRHGUjRqTmGkh9vRZLoefR5DLUQcXRWY1US4tk8DuVdFnRKHNuIvKmIzKeB6PhPMkGAVmTfodtYc7ju+8gdI7a9JdY3gE8QuX8tUb/XF0cSE6LCzrfNVq6rduQ88hw3BylcaXelxSkCN56aSnZ+LmokClyrvln8/fJQzp6cY8119OjEIECuldcVY9/RdiWGo8FxOySoYa+JV4JmkWVKFCbnTrXofPJxwlMEBBu+Y6BEHAahWZuzSFaXOSGD6yE2r1o9vCBAR4MG5cb0aau7Du1mmMVgtl3AvZAxwAPz83Nm75ivcGzaDTgNsIQlbPW4VCRo+edflhyoBc4+DIBIGSrj5MWryevy5c5ZfxnrzRywmNRkZSspXv/5fIt2NW4OamZ8AbBRtAbeL4VXz/3VoCCilpXFdFbLyNUcOvMHXKelavG0WJks8meJXkzTugMAgCmTdu2oOO+5nC7mAzmfALCip4on+3h5HpdFhTU7EkJ+cZRBnDIxBkMty8vAi/dZNlUybQtkNl6tYOQiuaAWfAl5tXItm68yxRVRohr3pv0kplw6Ior94k9dIVnJs1watWdWRqNRmXLnNly3ZGv9mfiQsW59uLKzkhAUGrJnziD4gmE9ry5ZBptRguXyXjwkVURYtwJS6dOPeKxLlXRGY14pgegWNaKI5pd4g8e5CGASJtGpbhhjqeUzYNsTJHVP6F8HrnTe6MGY9Zp8V70JvI9ToMV6+xf8c2Lp8+zbd/zEefT2ApyZsU5EheOiVK+BEabuRmiIngoNxf3nsPZaDVOlCoUO62ABabjetJ0QCUds3/11pBZVrMHIy8AWSVChV2LHj7g4dJSkxn7Zq/uHs3CS9vZzp1qomrW95F1pN/HkhsbAod+5+nVHEVxYooOHfRTFiEidf7NuDT4R0f69h6BxX1fIuzK/wy5+MjKKR3zTG+T7HivuzYM5Yzp29z5vRtVCoHGjUp99BRjN0sGk6duEWzNo5076Yke+5RF2c5E77w4E6khck/rKFv/0bI5Q8fcXrVyiN8/91axo1057MhrigUWUFVyB0zr71+l57dfuCvkz/kCM4kz5aHjw+V6tbj0s49aMuXRX5fdYposZC4cQvuvr5UqFnwbvEavZ5CwcVITElBUChI2rYT926dcwTNNoOBlD37qFK/Ae5OGkKXjOeTho641vBFEM2kCSrOKfy4IvcmpbKK8C13kF+6jV+ze8cxhoZhuHgZj949cKxZ3b7csUZ1NMWLEzlpMpsXLaTX+x/kmU83T0/Cj/2FspAf3oPesJ+7aLORvGsviRs341L43lhHNrmKZKeiJDtllfLM/m4JJYv7U1Ihp5QlmlKWaELlbhxxCCLa1QVN2dKIhky0ZUsDWW2RdJUqEjXlF9bN/0Mae+cxPdvx6yWSf0H7jtVxdtYw4tt4LJacvSFuhpiY9kcK3brXxdExd4nKnbQEjFYLWoUSf/3TBSQht2NYevgosUkpuKq0VPUKeqr0IKvh4v9+2UyZku/z2SfzWDB3EyM+nU+Zku8z+Yf1eXZL1WpVrFj9Ges3jaJqzZqYhGI0a12f3fvGMG36248MGvIS6OROSZesIPBw1E0stqy2PZmZJpYtPcRnn8xn6ZKD+Pi60r1n3UdO07B/50Uy7hioWlHN1ZTc+XlvgDPh4UmcOnnrkXmbPm0zzRvqGPWBmz3Agax5tRb86sXt23Fs2Xz6cU5X8gQGfDoClc1G1I8/k7RrD4brN0g5fJSoyVMx3w7hvdFjkOUxjkx+BEGgbe8+ZFy6grZcWVIPHSFm7p8YbtzEnJBA2olTRE75BY0pkxEDmlL81kq8Uq6i8nLnrsKFzcoyzFXX5LhDIKkyNYIgoKtYAWNIKKaISPtxUo+dQO7qkmN28WwKVxd01auyZ/26HMtjoyI5tnsnJ/fvw93bG9FiwbNf7xzBnSCT4dK8Cargooi2vHtp2eRKTkaaWZIawBJ1Va4qvLEJAoHWBHpmnqK16RIejg5YMzKwmcz2/Ry8PNHVrM7utWuwWa0FvqYSqSRH8hLSalVM+3UQA/r9Qp22EbzT3xF/XwUHjhqYuSAVVzc3vhjdNc99bybHAFDM2QvZE04vcPDAZcZ+s4wzN8NwrZ/15V7G5kWJzz0pWzbgyU7qb3/M2cVXXyzhg7ddGD7UFR8vBTFxFqb8lsS4sSvQaBwYPLR1rv0EQaB+gzLUb1DmqY5/v2reQdxJSyDFZOB8fDimm5n06/MzMTGplC2pxmgSmTljOyVKeLNk+WcUDfbON620dCPWSCMatcC1VKjlDor7Yh1f76xX0c2bd0lJyUCvV1O1WjAKRc4vyZQUA6dOhTDvl7yPVamcijIl1Ozdc4H2HarnuY3k2fAJCGD8vAUs/20GR7Zsw2o2gyBQqW5duk78gWLlyj92mo07dOLW5UvsXLkCB1dXMq/fIOPsefv6FjWLMapfBzyUcWCDGJMDG+5qSateGfJ4nkWTCUEmI2nHLrwG9AXAmpyM0tcHQZZ38K/08yVu/0FsNhvJ8fHMGj+W0wfvjYgsyGQoA/xx8MhdTQegr1aFmGUr+X3Ct5w/fgybTaRM5cq06N6T4DJlCSgazM3rN4lp04qtytIcshWhliWE4rFX8L1xkgEO8RxSW9n/5ddoqlXFtVUL5E6OqIsEEbN3PxlpaVKV1WOQghzJS6ld+2qs2/g5U35Yy6BPLgLg5KSiR6/GDB/REQ/P3MN+G60WwtMSAQh28Xqi427fdoY+PX+iWmUVH0/yw8FViS3KwJqp12nTYgwbt3xF+QpP1k3aZLLw/cTVDOjpxJSxnvblXh4Kvv3cg1gj/DR7I21710CrUaJVKNE9w1GEo6ISmffHbrZuPonRaKJsuSDaDKgBXnDgxlWm9FlO+aIy9q4KpGQxJaIo8tepTAYMi6VT+wkc+msSen3eY+gkJaaRHmUkLsqMp58DEQaBQN29X7u7D2YgAO8NmmlfVqiQC58O75SjnY7NmlWipFTmH6AqVQJWi+0pr4akILwK+TP02/G8OfJzkuLj0Ds54+ji8sTpCYLAmyO/oHrDxmxftYLQ69eQuQlUrlSGQS2KU8I96yvLpHTirlcNrvsaubBlDgFtczdUFi0W0k+fRVnIj/Sz57GZzcgcHJA7OmK4cg3RZssz0DHdjUbv4kJGaipfvz2QxNRUPHp0zWoQbTQR/fvch86/lp3m3h3b0FasADIZRw4fYt+G9QwYPpIWXbsz5bOPSTt1Gn2VyqTK1Ky9aoFlR2hVxZ2yFcrSuoaaqrHprNh+jvCfr+H74RAsiYnI5HJUGqlh/eOQghzJS6tuvVLUrTeSpMR0UtMMeHo6PbSB7Z3UBGyiiKtKi6vq8Sf0s1isfPLhHJo10PDjr37sjZOjlEGvGhqGt/SnXvsIRg7/k01bv3qi8zl08DIxMakMe6swNhHCMgRupArcSRHZc9LIKasKRUUb3Ub/ROWqRalUqQiuOh1eWkd8tM4EO3s9ca+u48du0K3z91gtJjq10eLqLGfb3jOsfu0vun7bkHSZCV1JNRv+cLN3VRcEgVpVNWxY4EPpeqGsXH6YAW80wWAwceF8GFarjTJlA3By0rBty0n0WoGtKxPp+Z4nN9PuBTkxcRbGTUlAp5Pxv4meNKytITLawvS5yXz0wVySkzP44KN2ADi7aCle3Ju1W9Lp0cEx13ncDDFx9oKBt94r/kTXQfJkNDodGl3BRhp/FEEQqFinLhXr1AXAOeUWvtGHkVtNiDI5sW4ViHMrjyhT0KRTV1b/MYeYP+bjNaCvvfrIZjAQt3QF1vR0nJs2xhgSijUlBcHZGbmzM5aEBNLPnEVfpXKOY1tSUsg4fpJWnbuybflS4qKj8RvxCQ4eWY2Q5Xpwql+X+OWrMCck4OCWu8o77eRpZDod/l9/YZ+4U+z4GgnrNjLv++8YO/dP6rVpx8E/F2M4fxFN2TLErViFplgp9nfoRyQJNDZdp5C7ifeDPNm56hgH123EdCec6o2b4KCUBtR8HFKQI3npubjqCjSVQ2hq1ki8gY5PNvfNnt0XCA9PYsWsAE4lZ33RV3KxoVUAehmjhrnQ571r3Lxxl+Bij9+oOTk5A0EhkOKkZEmYnBRz1vg385elkphspWxRBTVKORARY2bv1vOcPxtKrz71ybCYCEmJ52RMKCVdfSjr5vdYJTzp6Zn07jGZciUF1s0PxNUl69xEUeSnmUl8/tNhCrXyokpzR0RV7jYWxYsqadZAx/q1x4iMTOT3WdtJTMzqOqzTKenQsSanToXy9Wdu/LQ4jdmOSmpVVGHyNHP6nJFpc5JITLJycEMAVStmlQQV9negVlUNvt4KJoxbSZ/XG+Dh6YQgCLz9bktGfraATm1S6d7+XqCTlm7j7U9icXPT0bnryzkPlOQewWbBJ/YYbolXADBoPAn3bYBJea+qxtXTkwZt2rFnwzrCRn+LpmQJBLkcw9VrINrwGtAX4+0QkAmEj51o38/R1ZW4RcuwxCWgr1kdmUaN4eJlkjZvRafR0Lp3H74a2B9NpQr2ACebvmplEjduJnbhEnwGvYlMnXXPiqJI6sHDZF67jnvPbvYAB7JKd9w6tMN48TLbli9lyNjxFC9fns1LFhH996zqbh3aIcjl3MSTO2pX6ptvUk4dRcPahfE5cYHVaSIdB775T13uV5YU5Ej+E6yijYj0JIAn7gEVEhKDQiHgWkxDSjSo5VDB5V6VS+2qWS+76b9u5W5UIjabSI2axXm9X4McE2TmR1tIg1szN1ZfFilRFFQyWLs4gaRjaWz6zZuKJe79grt6w4Em3e9wKPUcn0/qzo3kGJKMGVyIj+BSQiQVPQKo4OGPXHh0o+OVy48QH5/Gn5uD7AEOZP2i/vhdV7bsNnDuTjq6Ks6cTpLRyCt3VZC3p8CWPSEcOHCJoW8407uzOw4OAms2pzF5xiFkMqhbXUO75no+3WJh014DC/YlIk+3YDSJfP6Bqz3Aud/wIa5Mm5PMyhVHeHdwSwDefKspx/+6Tq93jvDrHym0aKghNt7K4jVpmMxylq74DI1G+rX7MpNbDBSO3I02I6snZKx7RWI9KuU5UF/Xd95jz/q1qIsWAdGGaLbi3LQRjrVrIpotJCxZTpMOnShZsTI2m5Xi5SvgE1CYBT9NZteaVSRu2mJPq2TlKpSvUZNx7w0i4W4U3I0iMjYO58YN0VXMamMkU6nwfnMgUdN/487ob9FVqYRMq8V45SqZEZE4eHvhWKtGrnwKMhnqiuW5ePIEMpmMlt170qJbDxb+PIUdm9bj4HWvitokKNilLMkt0YUG1hAKOwkMb+5N+LEdZGZkkJ6SgtbRkZIVK0kjJD/CS3t1vvvuO0aNGsUHH3zAzz///LyzI3nBRWekYLFZUSBj94ZznDl1GwcHBc2aV6Be/dIPrWPP5uKiw2IR2RMqghoqONtwuC+G2LgjDbkc/py3m0Z1NCgU8P13Z/nx+zXMmfc+rVpXzjNdk9XC0bu3uKNLxi/Ijf17UulXSY9jpoVBf8bx2w9eOQIcgJLFlHzzsSvvDT/N96P70qloZe6kJXIhPoK7Gcmcjg0jPC2Rxv6lUAsKtm89w4kTN1Eo5DRuUo5atUvYz/nw4avUrKohKCDvkZ+7t9dx6LtEblfWcTVVoLob6O57c1gsIlv3ZBIfb2HpLB+6vXavdKVCGRXNG2pp0CGcX35PZN38QnzuqeFCPBR935Eg0UTlpndoXC/v6kN3NzmBAUrC78Tbl8lkMn6b/S5t2lVl7pydTJsbjkajpEevZrz9TnOCijxZeyvJi0FpSiEwfBtKUypWuZJw34ak6fNv0O/u7U3Pwe+z9Ndf0FWqgGOdWsj0etJOnCJtz37c3NzyHEhv4PCRdB30LhePH8NsNhFYrATbFszmr6Uz8SpXipJN26G0mTBcuoJh6wL0qXVxqF2HDJSkBXmT6O6Kh94ZS1Q0ZqOJYiVLEumgJNnNNf/3iWjLsU4QBJzd3LBmGLCZzMiU955Bc2wc+3+by5n0ePrU9cBbZsbt7CKWLprH1bisHlYunp50f2cwTTp1foor/mp7KYOc48ePM3PmTCpUqPC8syJ5SUSmJXEnLI5VMw5wZ3cMxYPVZGTY+OXnTVSuHMjCpR/j5/fwEp6WrSrj5K9l619GWjfSUtb5XilOdKyZz8bEU7OKmmWzfPHzyXq0EhKtvPVxDAP6TmX/oQm5BqnLsJjYFnqBRGMGMkHg3fbN+Kz77/Q/mkS9GkpEETq3yXt8nM5t9Lz7WQwnT96icKAnhR3dCNC7cjsljsN3bxJrSGXGwV0s+nInoediCSikxGgU+WHSWqpVK8L8RR/i5+dWoNmSjfFmrp/J4FJlFZddFVRzu7fPlN8SiU+wUL60mq7tcue1TnUNrRpr2bHPwI3bJvzdVVxPk2FRK/BW2RCA67fMNK6b+7hp6TYio8y4e+RsfyOTyejYqSYdO9V8ZN5fRGHpFzibEMbJBBnJBgVt3Uo+7yy9EFTGRILubEVhMWBSOhJaqHme8z49qOMbb+Ls7sbqP37n7vRZAMgdHKjdvCWvf/hxniMFyy0GCskSKVHBEU1mHHcvLCA9fR8tB1RF6ZPde0+JWKICmTd0ZN44hlO8HLlejykmltSSKVTr0A63klUxqN1J1/oxb/afbFy6BJvRiEyVs8pYtNkwnD1PzZq1cyyv0aQpi3/5mbQTJ3Gqk1XNKlos3P1tNggyNO9/xDY/b1qaLlMkM4rXfa6wbG8Edxt3JvPaDWaNG0OmIYM2vV9//Av+H/DSBTlpaWn06dOH2bNnM27cuOedHclL4kxIKCtXHCZQa2Lr/kBKFc/qHbTnkIE3Poyia8fv2HtwAkpl/o+Ek5OGLkPrsenoGdyMZjp2V6P2UBB6x0zXt6IAWDvPD3e3e0Xqbq5yFs/wpmiNMGbP2sEPk/vb12WYjWwOvUCKyYBWoaRRoZL4lHGm7BY/vh2zjJl/XgDAaMo7CMlerrhvHBxBECjq7ImnxpFV50+wcPE+3GopmDGxMC2rqLDZRHbsy+CdzyLo0uE79hwYR926pfho+WFC75gJzKM0Z8WGdKpVK4JHkCsr1odz7ZKCt0qJmE0ii1alsnlnOn5+zlSvLOb7C7ZWVTW7D2VSq00Ebw5wwlLFldNpVibOjkaQwS+/J9OvmyNqdc7qtZl/JpNhsNGlW+08030ZHY7dS3xmBjsiGuGBH23dCj96p+ckNSmJfRvWcePCBWRyORVq1aZOi5Yo1Xn3onsaKmMiRcI2I7cayVS5EhrQEoui4B0EGnfoRMPXOhBx6ybGzEx8Agrn6mrtYE7FOeUWzim3UBsTc6wLvXQWhbsbmX6BJOJApuCAUch6HwjF3Uk8G47L5QicXHUobl6lUGAgRX2cIPkGLslZA4J+UleLeNTGldWLMHbuYw90RKuV+NXrMMUn0LpXnxzH9QkoTN3WbTmyZj2CTIa+WhXSz5zDEhdPoZGfovT1wQxsUpaluaCgVAUF3VJS2RJxluh+byPTaVny6zQavtYenWPuXqX/dS9dkDNkyBDatm1Ls2bNHhnkGI1GjMZ7Q/unpKT809mTvICMVgs7Dp1H6SCycrI7Xk5ZX6SCINCknpa183yo2jyMDeuP06Vr/l+mRquFCo2LkqTIZNn3f7FgoglXZwVxCWYcHATat9TlCHCyqdUyenbUsXbbKfg7yDFaLWwLu0SKyYDeQUWrwHI4KbO6hlasFMTKNSO4eDGMxvW/YtGqVD4dnPuX6OLVqSiVcmrXyV0K4KhUc31VKNYYA6+/6UW4ViDeaMVdJdCysY71fyqo3DSMdWuP07V7bb4ds4x+78ewbr4PLs73Gh5PnZXErv3pzJnXhravVeWTRYs5dvI6r8+PwhRjonyFAH6b3ZcVyw5yKzT/gfxuhpopXNiDxk0rMuuP/SgugEKvoFThokwZWJNRIxbQqlcU40a6UbeGmpg4K9PnJjNhagJvD2pB4cJ5j0nysglLv0CMWIXdEQo88KPmCxzgnNy/l6mjRmK2mLPau1gsHN62haXTp/H5tBkULv7serApzOkEhm9DbjViUHsQGtASq/zxh0eQyWQEFHsgX6KIY1oYHokX7G18smWqXEnX+mLQePHD7jlk1KyPozrvRusx4jnS15xBrlDQ6LX2vPXmYMKEDNSZ8egM0WgN0bhqYMjrLTm6awfx6yZwUV+Ec+laks5fxZKayqAvRlO0dO6xrN756mtsVgtHliwnaf0mbFYrysIBKH3vdWAQBYHtDiWxIKN4IV9a3rjJAUsslmZNSD14mKM7dtC0c5fHvmavupcqyFm6dCmnTp3i+PHjBdp+4sSJjBkz5h/OleRFF5ORwtUr4dQsrbAHOPerVE5FrWoa1q99eJATkhKHDZHXmlXlhy49WL/+BPFxKfj7ezBzxhb0uqR899XrZJjNWfXoVtHGzjuXSDSmo1E40DqwPI7K3L+My5QJoFfv+oyZfIAKZZS0aHSvB9n2vemMmZxAz1718xwTCGD9mqN0agVFXCHKAJui5HT2t6JXZLWVaVBby9rVR+nRsy6Ll31C987fE1g1lM5ttbi5yNm6x8CV60aGfdiWTp1rIggCfVrVo3KNoni8p6Oed3Hc3PUIgoAoirw36AKnzmVSpULOcwm9Y2LJmjRKlnLl5vW7tO9Qk6It/VH6q6jpX5Rq3kEUL+HHsCEzadgxHLk8a+4tjUbBsA/b8eXobvle15fZixzg3LlxnSnDP0VduhQ+PbrYu2abY2KJm7+QcUPe5efV657J7Ngyq5HA8O04mDMwqpyfOMDJRbThknIDj4TzqIzJWcsEgXSND9EKHzbtP8epY3ux2myUrFCJRIsS2UMmFLWlp1O4eAm+nP4bTq5ZVdupQKq+MLFk9QbTZUTh7HybZu5ehFw6R1B4OM3UCUQ0K81tWSGiwkLZu34ttZq3QK25V0qlVKn4YOL3dHn7HY5s38bBLZtIyWuCUkFgt0NxjNbLBIs3aG26jMGxEtHOTiTEROfeXvLyBDl37tzhgw8+YMeOHagLWFQ6atQoPv74Y/vfKSkpBAQ83Yi0kpdPjCEVs9mKnzb/293PW05SqiHf9QC3U+IAKOrsibuHEwPvG6TuxIkbbF6/H7NZxMEhZ5WNKIqs355BpcpZc9GciwsnOiMFB5mcFoXL5ghwTCYL8+buYf4fO7lyJQqt1gFnZ0da94qkSgUN5UsrOH/ZwqlzBho3LsvE7/vmm9+UFAMBvo608rGxJlxGkllg+10ZnQrZEATw95UTEp31Uq9RszhHTnzP3Dm72bL5BMZME+XKl+DHX5pRt15pe5pFnT25nBhFssyIs5vOXj3VqXNNpv9vM2373OWnb93p3EaPXA6rN6fx5ocxmM0iWGJwUsVzcK+Zlftk1B1QjsJdsrrn1qlbkmOnfuTggctcvx6FXq+hZctKBRoaQPLsbV68CLlej2f/Pjm6Qjt4eeL55gDCv53Igc0badm959MdSBTxj9qP2piIRaEh1L/FMwlwNIYY/KIPo85MAMAqc+BomJE5aw9z+uR5LBZL1nbFgkEu5+ysGSCKCEeP4dK6JbIHxqIxx8VjuHqdFqO+QOGgxJCenmtcIFGmIE0fQJo+AJlXLTyK36ZozBnObV1FZshp9LLzHIxRs2FBAvMn/8B7X4+hRpNmOdLwLxpMt3cHI8hkrJn/B7bMTHsXdTtBYO2xeDq7OVEFG21TT3HekJrvhKL/dS9NkHPy5EliYmKoUqWKfZnVamX//v3873//w2g0In9gnhSVSoVK9exGhJW8nOIy03Bz03P5VAL0yT1aqMkkcuiYkY5d85+52mi1EJWR9WswyDF31ckbbzVlzuxdfDExjklfeeRomzJ1VhLnL2UyZmJzEo0ZnI27A0Ad32K4q+/9EjYazfTuPpl9+y7RoZWOIf08iImzMndJKg4KGQ5afy7ftlIoyI1Pv6hPi5aVkMtlXL0SwfFjN5DLZdRrUJqAgKz8FSvmy4G/4vh0MLT1s7H8jpzoTIFLKQKl9DYOHTPSqNm9c/b1deXzL7vw+Zf5F3l7aRzRKpRkWExEpScR8Hd3fJXKgdVrR/Lu2zPo894FVCoZMhlkZtrQagS2LPGjeUOtfYb0GStSmbA/jHVOx2k7qAIyQUAmk9GgYVkaNCyb7/El/44TB/ahqVo5R4CTTeHmirpkCU7u3/fUQY5Hwnkc0+4gyuSE+jfH7JB7gMfHIbMa8Y49gVvyNRBFrHIVMW7l+fXPraxbuAh1YGGsiKiCCuM1oK99lnNregbxS5aTfuEi0dNn4dmvDwq3rCpiY0Qk8QsWo3NyYvOyJfw+IauZRGDJUrTt8zr127TDbDKhUCjsc3XZ5EoSXUoyasz/MN4MpW2HKvj6u9FVEKhpkLN88w1+GvEZo2fNoXTlKrnOo3GHTqz+fRYJazfg3r1LjpGZ089dIO3iZbZ370RhmRJdyBm6lnGgVrNmudJ5lsKuX+fGhfPI5HLK16yFu3f+07i8SF6aIKdp06acP38+x7KBAwdSqlQpRowYkSvAkUggqxQl3pBGpSpFWP5FCLs7aWjyQHflH35NJDrWTP+BjfNNJzI9EVEUcVZqcFblDpTKlAlg4qTXGTViITsPZNKrow4HhcCqTRkcPp41Ym+jxuXYHHoemygSoHejqFPOYOl/v2zh4MHLbFniR9P69/I4fIgrnd+IYteBG3w6vBMfftwOlcqByMgEBr/zG/v2XrZvKwjQvEVFZs0ZTP+BTflw2Bx2H8ygST0tNdxsHIqTcTRexraViYSGm+g3IP9zzosgCAQ4unE18S5haQn2IAfAw9OJlWtHcPlyOPv3XiQuLoXJP6znh689c1S1yeUCg3s4sSs5kxMnbxCTkoyPs8tj5UPyzzKbTGg0+ZeYy9RqTCZjvusLQmOIwSvuJABRXrXIVD+63ZUoity6fImokBDUOh3latSwV/uoMhMIjNiJgzkNgCTnYtz1rM7xI8dZt3ARbl06ImYaMUZG4v3mQOT6++5JnRaP/n0wjpmAOTyCO2MnoCkcgGg2kxkZhVqnIz09nfT0rLQRBO5ERjB99JfM/WEShtRUZDIZles3oF7rNtw4f56TBw9wNzQEz/59WFmiEuWtkdQz3yJAY+WDzkVZbUlg9eyZfDF9Zq7zdPf2ZtCXo/lt7DeY74SjrVYVmUZNxoWLZFy4hLZCOeTFirNwx356Zd6idaNqeIh3iOXZl+bEREbw6+gvuXr6lH2ZIJNRu3lL3v7iq2c20vU/5aUJchwdHSlXrlyOZTqdDnd391zLJZJsBquZTKuZihWCiKhUkrZ9LjOgh572LfWkG2z8uTyVTTvSGTGqE6VL++ebTmRaVimOvz7/2bbfHdySMmX9mfHrVsZMvojNJlKzVjEWLm5J29eqEZoST3RGCgqZjNq+wTlKe2w2G3Pn7KBvV32OAAeyGi5Pn+RFsZoh/DBpDUcOX2bWnCG81nocqcmJuLnISEiy4ekuJyXNxvZtZ6lR5VOOnpjEujVHaff6Zd7q40j7VnqiDEoOXzZzfKOB94a0pErVoo99TQP0rlxNvEvU34MrPqh0aX9Kl/Zn/tw9CAK83jX3r3OZAA0rOnD0TBqHT1+ncyNpMs0XSVCJkoRevgrNmuRaZzObMV6/QdEOHZ84fUG04nf3EIIokuxUlETnEo/c5+ali8waN5bQq1fsy9Q6PR0GDKRv12YE3N2PzGbBpHQkwqceGVpfALYuW4I6MBDnBvWInPormrJlcgQ42WQODmirVEJ+5Tpd3nqbG+fPIZMrUGs0bF66GJlGjWOd2qiLBmFJSCTlwCFsaWmIPl54tG+LLT2DC38d4+S+vchUKuRubsh0OnQVKyAKAucUhbgtc6ep+RqB1gQ61PVm99bjpKckoXNyyZWfRu074lXInw0L5nN2/UZsNhsKlRJEkYyz58k4ex6VToftre6UqeqGGHeGc5GZbNqwk5ioCJycXajbqg0V69RFls9kpI+SkpjIN2+/QZrFgtfAfmjLl0U0m0k7fpK/Nm4hMS6Wr2bMeqzZ5v9tL02QI5E8iSRjVpsTF42WJcs+YepPG5k7ZyezFkQCULZcIX6b3ZcePfMYpOU+URlJAPjqXB66XX7VLTZR5GRsKABl3PzQ/z3tgs1mY/++S+zbe5GIiCTKlMz712xQgAMVyigJ9Hdgy+4rDH1vNuHhcSCKNKyj5fvRHlQoo/p7GogUPvk6lt49fmLthlH8+P065v2xk1//iEDppaRIWz86DanD593znqn9Uby1zghAiimTdLMx3ykkTGYLcrmARp13t3Kvv2O5ZHP+jT0lz0er7j35eeRnpB47jmONewGoKIokbtyCJT2dZl2evEG4e8JF1MZErHIVUV618pxB/H53blxn7DtvIbi74/3Om6iLBWNNTiHlwCHC1k0nRXEcWY2apOv8uOPXOEe7nhsXL6Kp/3eHAqslV3ub+8nUKqxWC806d6VZ56znY0jblsjUavw+GZZj5nHHOrW4O/sPzJFR6KtUQlAocGpYj9gFi8k4fxFVoD+msHCE+wKAVJmatcryVLeEUV0dRy1/Bf53dpFUugOiLPfXcZmq1ShTtRo2mw2b1YpMLufK6VNEh99B5+hIhdp1UKs1pIRv58bWxZz/63/sD9Wh8PfHGnKbg1s24+FXCEEmIy05CTcvb5p27ESTTp1zNHzOz7blS0lOTMRv1GcoXF0AEORynOrXxcHLi8vTZ3L60EGqNmj4yLSel5c6yNm7d+/zzoLkBZdszGpM7KzUolI5MHxkJz7+tD2RkYkolQq8vZ0fOdpxhsVEiikTAfDWPtk4FOFpCSQZM1DJFZR3zyoxunjxDm/0m8q1a9G4uSjQagQ++TqOzTvTWTTdB0+Pe4+nKIqkpNoICnCg22t61my5gJeHDBcnOevm+6JSZf1S02llDB7oglYr480Pr3Pjxl2++Korn43oSFhoLHK5jIvCXWIMqVxKjKKGd5HHPheVXIG7Wk9cZhrRGSkUdfbMc7vKlYtgNots25NB66a5fzmfP2lALhdwK/R07TAkz17NZs1p3LETexYtI+PUWTQVyiGazGScPEVm2B0GfDYCv8CgJ0pbbjHgGX8GgLteNbAqHt2RZPlv00Gvx/v9d+1jz8g8PWjcvhq1Lsdz7ewZnGp2JN2/ea6pH+QKOTajCQBlQAAZ584jWq05gg/IesYyL1yiTJl7P1LSU1OIj4nBtU2rHAEOgKBQ4N7hNSImTSbjwkV0lSoiyGS4d+6QNet5ugFTdAzW1FTkjvfd44LAcYdAQq8dp5XCAR8hAaeIXYT5N8tz2grI6hqfXRqTHfjcb86uW3hfvEzJ2mVo2KcFNxy8s87n2nWi58xDptPh1LA+yRGRLPh5Cns2rOPrmXPQOz38fbZv0wa0VSrZA5z7aUoWRx3gz/5NG17oIOfJyrAkkpdEqjkTAKf7ejApFHIKF/bAx8elQNM5xBmy6uGdVdonnuX7WlJW987iLt6o5AoiIhLo0HY8GmUy+9b6E3MpiMRrwSyf7cOFKyba9I7M6pH0twNHM7kdZqFNMy3NG2oxmaxERFl5t7+zPcC5X+9Ojrg6y1i98igASqWCYsV9KVLUmwoeWUHW9aRoLLbc81AVhKcm66Udl5mW7zZVqwVTqXJhho9NICbOkmPd5Wsm5v+ZTMlShUAtvYZeNIIgMOjLrxk8Zhzegoz4ZStJXLeBEoUC+GL6TFr17P3EaXvFn0Fms2BQe5DkVOyR26enpnBi31709evkGEW4hCWGRuYbqAMLsy8clvwVnWeQUKVuPQynzyBarTjVrY01NY2EDZtzjfSdsvcAmRGRORpTx0REgM2GpkTe+VT6+SJ3csQUda/7ttzREVXhAASFAkEmkLBxS65jmWNiObHrLLuSC7F38xbOrJpN7KpJGNLyf57yYzGbWb5wGaedSqIKCKC2NRRBzBqYU1OyBO6dO2JNTEJXuQKeA17H79MPiYqMYN733z0y7dTExBxzaj1I7ulJckLCY+f53/RSl+RIJI+SasoKcvR5jENTUPF/f5F7qJ9sTJBMi5k7aVmjqxZ3zppXadZv27FZjexYVtg+gKBCAV3aOWbNwN36Dmu3ptHtNUdOncuk//t3qVxORdP6WqbOSgJAFMlzhGIApVLAz0fBju1nOX7sGkoHBU2bV6RX7/r4u7ihc1CRbjZyJy2BIk6PbvD5IA+NHhLvBYB5EQSBWb8P5bU231Km/h36dtVTvKgDJ88ZWbo2jaLlfGnWrII9EJW8WARBoEG712jQ7jVsViv83QPuaTiY03BNugpAtGe1R1ZTQdaoy6LNhsN9A+N521JoYb6CIIqcVQdyJNWJJnGxee7fulcfDmzeRNyipbh374Jbp/YkrF5H5rXr6KpWzpq1/Ox5DLdu81r/AVSsXce+r0qT1cnAmk/wYTOZs7p5q+5VgYmiiC0jA5mvD+5dOhG3dAWWuHgc69ZG7uRI5rXrpB44jDXTyOELoSQ5BNHdNwXrkbWs37CDpl/OJLD4o9soZbt95TJpiYlcKdmbRkIkbrYMSlpjuKLI6v2kq1KZuOWrMFy+ikN9D5R+vjg1a8rhjZt5/aNPcHHPv7Gyq5cXaRGRea4TRRFLZBQelasWOK/Pg/QTSvJKS7dk9QDRK558KIFEYzoAbuon60UQ/nfPLFeVDte/01i98hB9uuQ9QnL1SmpqVFHz4Zex1GodRvWWd3DUy1g73xebDeYsScXLywW5DI6eyDtAiE+wcv2WiRvX7uDtHI6S23z91WKqVvqY/XsvUliX1SsqPC0xz/0fxVWVdR6Jxoe3pylewpc9B8bzev8WrNhk4+Ov49l/TMVnI7qwfs0XaLQqTFYLJqvloelIni+ZXP7UAQ6Aa9IVBNFGutaHdF3+Qzbcz8nFFUEmwxSZNXWKUrTQ2nQZuWjjptyD3eZCmBKTcPXIe2LWoJKleH/cRAznLhA++lsyr99AGeCPKTKKxA2bSdqwmSBXdz758Sf6DPsIuSUTjSEal+QbVNAm0qG6H6Uv76WCOZwi1ni0osmedtqJk4gmM9ry9zq/GENCMUfHoC1XFsfaNfF++w1Es5nY+Qu5O20G6XsPYM3IQF+1MgFjvyK951scr9sTp4b1qFtEztwR75JpKHg7tewxf8wqDacUWaW0lS3hWb+CAEEhR5DJEC1W+z7aiuWwWSzcvnI5d4L3adqhExlnzmG6ezfXuowz5zDevUvjp2iA/m+QSnIkr7QMc9YLSeeQf2PDR7nXrid31/GCyA4kAu7rmZWUlEGgf/714UUDFZw6l0npEkqWzvShY2s98YlW+g65y5XrRkTRiCDAr3OTeLO3U44SHVEUGfdTAlYbXDkYQGBhJecuGXFQwMbt6XRqPwn3YEdqvVUesa6Ner7FClRtd7/sbvRGq5lMixm1Iuv4yUnpLFq4n7Wrj5KSkk5wMT/6DWjCmG97MnZcr1zpONyVY7ZZybCYUD5hVaDk5SDYLLj9XYoT71rwsZC0jo5Ub9yEMwcO4VizOvVkoTjbDKTI1GxXliJ59y6wWqnXuk2+adRu0ZKSlSqxa81qrp87h9zZjfLde9PwtdfQOTqhsGTgnHITl9trcs1p9U67Svy1exeq85tQBxdF5uBAGg5cDUlm+7b9aCuWR1ApMYZHYElMIn7FKhz8fNGUzppuRVOmFBlXrmAMDePjH6ewZ91aLt28jkfvHvbxby7IfQnQJxFcGZrHHODo1k006lSwht0BRYNRODiQceES55vWp4YlFC9bKn62ZCLlLmRev4FoNqMqfK/3qGjOCoweNfRKsy7d2LtxA9HTfsOpeVO0Fcoimi2kHT9Jyu691GjajDLVXuyekdJbRfLKEkURg9UMgEbxZEGOKIr26pS8xscpiLvpWd3PC90X5AQV8eLIiaQ8t7fZRI6eNOHormfPwTQiokQm/5bM6XMGBAG++9KDT95zYfvedDoPvEuNVmEMH+pGvboaEuOszJiXzMYd6Uwe40FgYSX7jxho0zuCQr4KvvvKg8AABYdPZLL65E1uXo+i8YhSFPXL+1dwfhxkcvuggCkmA2qFA7duRvNa23HcjUrCzUWGzQZ3I2PZvOk0nbvUZNacwcjlOUsDtAolySYDBosZF2nczleaPj0cudWI2UFHqv7xRp7v8d4QzvXvizj7V0q0K4zNzZVNGe5EHlhH6qEjdH5rEK6e+bcdAXDz8qbbO+/lWKawZOAdtR/nlJsI97WbMTvoMDk4YVI6Yivmje1mMmdPHsfj6h28PfSIRiNFTSberSTnZsIVDk3+ljtJf+8vk4HZQsLaDSAIZJ47jykxibe++IoajZvyy+cjcWzVPMcAf9nTNfhpk/H2cyXs4g54RJCTkphIbGQEaq2Wuq3acGjXDrRlSnPFw5tylijKWKO5Y3Agfs0GlH6+qIre62SQfuIUSo2G4uUrPPQYGp2Ob2bN4Y/vJ/LX+o0krFkHgEqno93rfenx3tDH/oH0b5OCHMkry2Sz2hv8PazBcFpaJiuWH2bdmqOkpRoILuZH/4FNqF2nBEarxd44V/sEVV7pZiMZFhNWiw29cC/Q6jegCaOGL+DoSQO1quYMnn5flEJyER0V3y5BX011Dm2+xMoVhwku4sDB9f64uWadS8vGem78FUS91+7w5a/JBGpdidsSR/rhDLq20/PhIFcsFpF+Q+9Ss4qajQv90GiyXqxd2zlS4ozID3+mMW7KSv74cfBjn5veQUWGxUS6xYQoivTq/iOJ8ckIAtSrqaFEsJJT5zLZud/AujV/Uaq0P5+N6JgjjezPJfPvYFTyakqKiyN8y2zCE69xIc0ZY2kH6rZqbW/z8iiFihTlm9lziF4wkozTZ7gQY+Wvyxa0zs70+eBj2vXtl+d+oihiNBiQyWQ5Z04XRdwTL+IVdwqZLatUw6DxJNG5BCmOQVjlKpLi4pjz3XhO7NuL+Pc7QO7gQJFgNxrWrkCwMhHj1UMEu8oIdlVyMVXJboJIi0nAHBmFcPEyDioVlevWp1WP3hQpXTqrvY7ViszhvpJXq5WMi5eJv36DTToDrRUWyjslIbdk5tnzLD46mkVTp3B0105sf1dV+QQG4uzsTNSUqRyuU5biZcAv7ToRK0MRBQHfYUPsc8xlnLtAyu69tO7Zu0AD+Tm6uPDBhEkkfTKckKtXkMvlFC9fAXVec2u9gKQgR/LKym7noZDJUMjyLpYNC42l42sTCA2No3lDHcEl5Rw4GsXyZYd56+1mjBjfGQC13AHFY7ZJEEWRBav2s/jkESKuxjN8z2yqVSvCe0Pb8HrfBqxeeYQW3W/x/ptOdGitx2CwsXBVKvNWplJ5agXiLOkss53h3T71+GPOblbMLmQPcLL5eitYtNCfgX8pUXopqfxOKf46c5KaVbNejpt3pXMn0sLqub72ACdbuUJyalVTsX3RJZIS0x97niidgwoMqWSYjezfd4kbN+7i7Sln5wp/ShW/F9Ad/MtAq14RTP1pAx998hoKxb3PIruaS2qT8+o6sn0b00d/wad1FGR6urLlmpEbq8eyfOb0x5rNvFSgB21fb09iQiLmtGKM1HtQpmo1lHlM3WOz2di1eiWbly4m6vZtAEpUrMRrfftTo2EDAiL34pgWBmQFN1FetTBo7pUExcfEMOr1nqSlpaGtXBHnZo0R5ArS/jrOzb37sQpy5ly+jHepwjSuF0xlfTqVY2PxvH6NVS4BpGiKojRkMnXNhhxtmQRBoEiZskRdvIRTg3qYou4SPXsulvh4FJ4eHBegQkAKMqMJt/PbkFfukOO8EmJj+HJgP9KMmbi81iZrvKCUFFIOHiHjYihVGzbizs3rxJjjcHNSU8FPz+mbccQvWY7CyxNLRBSZkZFUbdSYXkOHPdbn6OLuTqU6Dx9P7EUkBTmSV5bZltXQziGfAEcURfr0moJMTOXSgUCKF836YrbZRGYtSGbIyJ0UKueBUy1nNIq8ezHlRxRFRg1fyJ87DlCpvRtvddFRrJ2C5eti/s/eWcdJUf9//DnbcbHXHeTR3d3dJSUh+lWkRCzsRBCxEQQBBSSkQRrpkO7muO7e29vbnt8fC4fn3RH+DMB9Ph78wcRnPjN7M/OadzJm1GxeeLEHq9e9wkcfrObbH/cy/WtnHEBoqI733x1C/z5NmXRwJckFuXxu/BW5t5wqFUvOIbUQPkjVoPCX4G5X8G374fyvTg7rt8bz4nNeXLhswddbWqIzOICnXKRChBy7HGJi0qjr9WDVj1VS53xMdhsb1x/H4YBP3vYtJnDAadWZOsGbdz/N4tzZWOrVr1C07vZvc/u3cvF4cfPyJb5+cyrlG1fDr30IVoUKR4vmhGZlkbloCR+Nf44v120q1SrgcDg4/9sRTuzbi9lkoncVOaFVfRAiG1AruOy6LA6Hg9lvv8GhbVvR1qqJ3/AhiDYbCSdO8fnLk/licg+q1a+AKJGS4t/EWW35lstFajezZ+sO5k/7AKvZjESrpeD0WYxnz+PZvg1ePboicdMSs+EXPNq0Qte7C0clCmIdenoEXqR8UCDDD59iraYesbuOcOnEcWo0alxsfl2fGMI3b04lb/9B8nbuRqLVEvzyZJShIQDcSL5A6OVfOPfTLMqFNUPne0d8rf5uDoZCI4FTJiLT6W4tDUFdtQpZq9dx9shh5m7bRZTxLLq8GzTWVWfr5QL2bd5EXlYWPtVr0vb1t6jZuMlfEkj+KOASOS4eW26/OGVlFNjav+8SF84nsntNSJHAAZBIBJ4bqePAURNLl+1lbONeDxwUu3fPBb6bu4NXPgshvKE7db0cNPFRMWaoJ7Pm5PDK+7/QuUtdpk0fzptvD+T6tRRkcilRUcFFlo6vWg1h4v7lJBfkUu61cuw5X8CTwXeETmohjDmuILFQwJJuYVR4KwI0Hjzzv848OexL5vyQi0YtUGB0UFjoKGHJ8ZCDsVBEqpGyacNx6tZ7MJFz29VktttISMhEEKB/99LT7Af2cuPtT7K4fCmpmMiRuUTOY83mn5Yg8/aidp/WSOyxJEl0iIKA3NcX36dGkvjBxxzcurlE9eTczEw+njSeuCuXUQb4o9CqaZGfxuZTEuxtxlPtLolZv+3awaGtW/AbORy3enWKlrs1aUTDwyvJOrmT3Ao+5NYcXCzDq3zcRiLPLWDyZ3EoatYloGtn5L4+2A0G9PsOkrt9FwgCos2GoFRSrWszluvn8Z2qGStV9fhZWZfefjK8wxLpm3WNryWQlphYQuQ079KViyePs2fNWpBKCX5pUlGjUIC4oGpItemo9+7lwsYfafHUS6QlJrJrzSr2bFiPPDQEa2YWUs87hUwFQcCrS0cKfjvGwa2bCe3aAF3eDdzNGTRs24OGbUu25/iv8N+Qci7+k9hFpx+9LDfTvr0XCQ5U0Kpp6XEBQ/q6kZSSiz7PWKY1qCwWfv8rNaupaNfW6QLS/G73yc/qqFhOycLvdznXaZTUrhNJ9ephxVw5ARoPvmo1hGCtDoW/gll5bsTrnTFGvxc4coMVw4IM+nZyZjl071mfsc93ZvzUDBavzqfQJLJ0TX6JOWpkIqfOm9B6Svj8s19YuODXBzpH+a3MDJvDTsVKzhomf6h5VsTtmoNBwcV7f8kE529z+7dy8Xhx6sB+NPXrEiA4U6KTJXcyCuU+3qgrVeTUgQPF9nE4HHw8aTzJqckEThhL0NSXqT9+GL7tWmP0DeKDdz/l0skTZR5z+6qf0VSuWEzgAIQ49DSr7Y9UpeSH37KKCRyp3UyVG8vwE7PZ94yOWkO7Ifd11o+Rurnh1b0Lnh3akffrXixJKVSoHs4K03IiHdk8azqMUrSSL1GxRlmbQq8APGwGmodJ0bqXrOYtCAL/e+Nt/MPC0dasXkzgANgFCdHqUOSB/uSe28OaeXOZ1KcHW1avRFEuEoehgNSv55A6Zz4O050SElJ3dxR+vqQlJlKoclp/VOZsEqNvcPrgAaIvXsDxJ4t/Psq4RI6Lx5bbQcdlRf/b7Q7kcqHM9Qq5ABJn3ymp8GC3yoXzsXRuo8bqcI4t/93uEolApzYqLl6Mu+c4t4WOt1SD6Cmn1zYps3eYGPmbnMRCAWm+lQtv3+SDqUORy2VF5/vR9GH8tGIy3n4VUSokvPBWBqs25WO3O69JvsHBzC+zuXzNStfObowa7MH0j1Zjsdx/bIzkdwJl1FPtEEVYtan0omkrN+SjVEqp36BCseW3r72jLHXk4pHGZrMhUanwdThrTWVJisd9CSolVqul2LLThw4Sd+Uy0oAA9PsPkrttJ8H6RCQKOdkN2qAMCWbDj4vKPGbctasoKxcvpicRHbSzXkOQSLggDeTgxZRi6+1SJV84BhGd7aC8m53l+UsIsucV28ajVQtEq5UgDGxvnU6EI4c4iRfD3J/ELDgtrIWCgl3pahAE2lRQ0bBRnVLnKAgCUpkMaRltFeKlXkiUCnzRs+q7Oeg6dSD0vbcInvg8oW9PJeCZ0Zjj4sn4aUXRPqLNhk2vR+vhgUXhQVZ6OnvWruT9J/szY9J43hgxjMn9e3P0111lXrvHEZfIcfHYcvvFKVC6iGncuBJxCWZOnSu9oN7azQb8/Nzx9NQgecA0SbVaQXaunVuaAtkfds/OtaNS3l9ae4DGg3mdRhYJnXmiJ6kWCZZ0CwWL8lj49fP069+k2D6CINCtez3WbnyN6PjvqFW7AoP/l0q5hjG06JlAWN0Yvvwuh3Yt1NSuoWLyszoyMgzs23vxvs9R+juBUrlyMC1aRDHlnQzOXjQX227XfiOffJPDkyPb4ulZPPZCcuu3+WPZexePB+WiqmC6eAlP0VlrKku4I3IcZjPm69GUr1qtaFlmaiqz33nTub6gAIfJTN6efcjXr8CcmEiS1Att44acPXwIi7n439ltlCoVDmNBsWVhjlx8HAUUCnJ2xYHyD8HKNquV99+ZTpsfC4ixqIlw5LAsf3ExoSPz9CDMW8HOrgbKe4jEOtwZ6j6CFOkdS4xos3Fiz3lis+3UqFeXIEtCmdcmvEIFLDeiS/3bT5J4YsvKxlvpQFe3Jl7dOhc1FhUEAU2N6vj0743x3AUsaekA5B87ga3ASLNOXbh24SJrf15PvsVM1MiBhL33FoETxpLv4cbnr0zhwJZfypzX44ZL5Lh4bLltJRC58xCx2eysWX2Evr0+5s3Xl6BRy+g7KpWYuOIpzJt3FbBoRT69+jRGIpEUG+N+6Nq9Ias3FWAyOc3D9t/tnpFpY8M2I117NChj75IEaDz4sGXfYstertmJtUtfxWqzs37dUVJTc0vdV6tV8ezYzgD07KSlcgU5L43VcWZPOC0aq5EKUD7c+SWanX333jlWq40tm08x77ud7N59HovFViQAFy2eiH9QIPU7xtNlcBIvvJlBi54JdH4iicZNq5RaDPD2dX3Ya224+HN0eWIwjphobEmJABhvlVEQHQ6y12/CYTbTvl9/ABx2Ox9PHIdFgOApkwh5eTJBz/+P8PffIqhqBMYLl0m+mYJEqwVRxGYtvexAozbtMJ48jcNyZ3243dlf6ZpRSfal6zRs07bYPl9OfRWb1UqiXqTV7HSisx1EOHL4KXtBkdDxSb7GnmEKyrs7uJkr0v7HAmJis4pEii07h7QFP2LPzUNerS1V6tYryuAqjQ79B2JKTiH/yNES6zJOnCc/S4/daiWkaZ1S93erVxdBoaDgzDny9h8kZ+16WnTrTnBkJIs/+xSjygO3Rg3xjiqHTOeJumIF/J8ejbZeXX6cNROrxVLquI8brsBjF48tt1+btz+UzGYrw4d8zq6d52nZRMOAbkpuxqnYsNVA1ZaxDOjhRlRFBXsPm9h7yEj3HvUYMqQFRzNiHtid8tTT7Vkwbwefzcml1xAv7LcSJG7EWHhyfDpqtYqRo9rc93hpRj0fHt9cbNnsm/sYN/w7LFnOh7lMJqH/gCZ8MmsUHh7F44wiIpwT6NPVjY6tnV/T2RYgHiQCHDtjKrZdaaxbe5Spr/xIWlo+crmALFyFbwMvujWpQ5sxUfj6efDr3g9Y/fNhVq44wM5DekJCQ1m0uA09ejYoFm90mzvWNhePAsb8fA5s3UzSzZso1WoatWtPxRo1yxSpTTt1IfbEAYzndmFISCVHJsdhsWA8cQpzSir/e/Nt/IOdWUVnDh8iKfoGQS+MRxl+p1igTKnAv1YUBcY84ncfxeLuhVyl4qXBA9BotTRt35H2/QcW9WDqOmQYuzesI/H9aTgsZhChSysdepWd46fykcrlpMTHk5maim9gILvXr+X4nl/R1K6FZ7vWSPx8GZh4ldX5WyjvbuCn7AVM8ezPTNsqyntLiMuXsqfZZ1i3fkzKV9+i9PMFhQJzcgpyhYIJH06jVYd2EL0clTkHmc2ITVYye6xGw0Z06D+QXStXYbp6DW3dOiAIGM+cxXD6LO6DqmJLjcZbI6W0Jg+CTIYgk5G3bQcArXv2Zsxrr5McF8v1c2dpPa4dgkSCijtiTxAEdF06kjTtE04f3E+jdh0AZxxUSlwcVouZgNCw+6qf86jgEjkuHlukfwhq/eiD1RzYf5Gty4Pp1ObOTXwzzkr7/kls3G7C7bBAxUqhzF/Ygb79GhNjyAR44G7dISHerFzzMmM+mMtX3+ey1mZFSDBx8mwhAQHurF73En5+nvceCKfAuZ1lFazV8VLNTry4bTk2nZQGMyowr54VH7mDFevyeWfmUWJj09m05Y2iGB2AevXLU61aMB98lkPrphoUCgHTrYQmBSLvz8qhcuUAGjcpvWbJls2nGDPqG/p2c+Odl8KpUUXJ5it25u6zsuzHA4SbdDw/vitqtYInR7bhyZFt7uvcboucB415cvHPc3j7Vua+/x5WqwVlYCB2g4FNi3+geqPGvPjJp2jdS8aXCILAqClTUO50cPbsRbLXbkAqk1GnWXO6vz+NqnXrFW176sA+lIEBqMpFFhtDhgMJoAgNRr/pDDYEZB4e2KtVITc/nzWLFrB15XLemjufiEqVOXP4EHarFbmPNx6tW4BEgtp8DHu+gUKvANQRwWxfu5rd69fy0qefs+SLz9A2rI/fsMFFYi03qh7DLZEsTf6W8h4G1hh+BDeIzoNnT5fnmWH1mPHTSs7/doTTBw9gtVooV6UqLbp2R6XRYAfsEgVSuxmp3VyqyBEEgTFT3yAyKorNy5aSsmgxAAHh4Qx4+VVa1VGwb8EsbDHREFajxP7mhEQcRiNt+/Sl/9PP4hsUBDiLBQLg7QMUIv1DUL8iwB+JQkFmaiqiKLJ343rWLVpAeoLTtaZQqWjVvQeDx0/CrYyYoUcJl8hx8dhyO6vK5rBjNJpZvGg3E5/2LCZwAMpHyPlqmi99RqawcctL1Kt/J5VaIXHeIhbHgxera9ykMvPmjGXlwaNkXszF00POU89VpW//JqjV9xeP80eB81WrIfyy7BjXPrxBiy8qkY6Ml65LWdDQwsRnvKhfW0Wr3jfYuOE4/Qc0LRpHEAQ+mTWa/n2m07J3Ei+P88SjnJpLcXZ+223g/HETq9dNLPWLXBRF3n9nOZ3aaFk5LxCJxLmNt6+Mbu0VeOgtfPLxWkaObotW+2Dd3m1FGXAPlr3m4p/l4onjfP3m62jr1iagdw9knp6IDgfGi5e4uuxnZr08hbfmzCv170cChFeqTHDVOpR744kyrT5WiwWJquy/H0EmwyHiNM0qFMh0nnh174Kjdw/S537PJ5Mn8tLMz1k86xM82rbGu3ePomN5F6qQRV/BePISbqO649O7B+nf/8DMF1/AXGgktHPHEvNKVXgzwdiczR53sr9GrDeR7uZ080gkEmo3a07tMgrkibeEu3CXzEFBEOjQfyDt+w0gLzsbRBFPHx8EQUCZsI3wShUp3HISS+XGKALvdGF3mM3krN+EV0AgT099E6nszqvc08vZfNeWlw8aWQkrqS07B4fFgoeXN2vmf8fq7+agrVObgO5dkGrUGC9fYe/WLVw5e5b3v1+EppQMsUcJ1+eTi8eW2y9Om+jg0sUE8vQmBvYsvY5Lt/ZatBophw9dKba8qBaMrbjIKSgwkZCQicFQetDybXw9PKhdJ5Lh/2vNt989y9DhrYoETmGhhVU/H2bmjPXM+25niZia0gROgMaDFT/tp0sDJUuaWwlViyQWCow5riC1EJo3UtOqqYblS/eXmEvzFlXY8MvryNShPPFMKv3HpbF6kwFsnqzf9DqtWpfeNHHN6iNcvZrK5WtmarWJZ8Lr6Vy5bsF0K3NsaE8teXoT27edueu1KA3brfo40v9IYbJHlXULv0cZGoLv8CFFKc+CRIK2Zg28hz7BpePHuH7+XKn73nnZ2+8aexUZVQVTQiI2vb7Ycvut15Q1PROlRon3E/1RBgeRtW4j6YuWIFGr8R48kKyUFJZ/8yVynSfePbsVO5ZFkKEsXw6vEF/0Bw8jUavxGfoE5kIjEoUCuZ9vifkE2fP4NuBssWVL+mmwpV4jIyX5rtdLcNiQ2p2B0XbJvT9oBEFA5+ODzte3aN4Sh5WajZrg6e1H6mdfk7lqLYYTp8jd8SspMz7DnpjEpI8+LiZwAMIqViS0YiXMFy8620j84Zrn7dmHUqMhrEJFVs+bi65LJ/xHP4mmahTKiHC8unQiYOLzJMfHsfmnJfec+8OOy5Lj4rHldgE/6+9aBpQVWiOKziDYPz6ENbcaexpv9We6GZ3GJ9PXsX7dUSwWO3K5hJ69GvLq1H5UjipZocxb6TRTZ5uMiOKd8desPsLLL/5ATo4Rf185uXo7b7y2lGf+15EPpg0l02woVeAApKXm0Km5nEA1LGhoKaqXM+a4ggUNLdSoImff8ZwScwGndWnrjre5GZ3G9piLFKgsdKlakxo+IaVuv+D7Xbz84o8EB0jp3cUNm11kzS8G5i/N45U5EQRFqSkfLEMuF8jMLFmL516Yb/02d+st5uLfxWgwcOHob/g8MaB4U8lbaKpXRaHTcfTXXVSuVbvEervUmckkdVicN1oZQqdVj54s/+Zrstesx2/EMIRbdZjsggR9Zh721FTCu7TG0qwpNGuK8eIl0uYvIv/IUTxaNEPp70fMtWsoq1Yp2vc2KRIPvB0FVKgRwdXdNwBnnR65ry/WzEys2dnIvb2Ltg+y57EsfzERgp7obAej9ypZ0l9Lefdcdg1VMPi158hX+KLRaGnSoSNNO3Yq6o11+fQpzq9fRCPxIgV2Kcc8U+k8aCjBkZEPdN1ltgLkShVjZ3yJ98+b+XXdWjIOHkYml9OkY2f6jH6K0PIVSuwnCALDJr5A8oLJFJw+S345H8TgEGzZ2eTt3kf+wcMMf+FFDu/YhkyjxrN92xJjKIIC0Tasz651axjw7NhHOjHA9WRx8dhy29UkAhWrBuPhoeLnjfk0qFPSJL55VwFGo4MWLasWW367e7lddHD2Uhz9un6Mu8bGB696UbOqgktXLXz7wxk6tTvLxi1vUKt2ZLH9dUotgiBgtlsxWM24K1Ts2H6GZ576lkG93fng1QgqRCrIzbPz3eI83pqxA4dEJK51YakCByAg0IvzVzIASgidZ07I0V+zERhQvOjeHylfIQAfRzxKqxlvZelBhidPRPPyiz8y/ikds97zRSp1PuhmvevLmMnpzFuRz8RJShKNZqxWkdBQn7seszRui5zbv5WLhw/LrYJzMo/S3RaCRILU3Q1zoVPIpybEY7NaCQgJRaFSOUWOIIAoIrMXYrRJOLhtC3s3bSQnMxMff3/a9upDs85dGP/Bh3z2ykuYp32Ce9PGSLVajFeukii7QnikL6GNanHz1nE11auhqVkd/cEjeLRoBg4RiUSCzVwyayhF4kF1UqisMLD9dwHwUrUKh1xO3q49+A5yZnkVCRxHDjfzJbT72QYTJzJUbWNZ/mIqeOWwol0WnXc7uJKv4PS7b7F24fe89e137N+8iZ/nzGZAE1/Eqj7czFOye+tWfl27lhemz6RBm5KCojQkDitymzPtXqYL4InnxzNo7DgsJhNyhQKJ9O7u3brNW9DQMIDrB7cS9/1SYnNEEEXUbm48+eJLdBs6nC+nvoI8JASJovSWNcpykWQeOoLVYim1P9ijguvJ4uKxRSaRoJDKMNusfPr5BvR6E1/ON9GqqZoeHe+4ra7esDDpzSyaNqtE7TqRJcbQyBQYbRZefXMxwf4O9q0PxUvnfMh0bqtlzDAP2vVLZtKE+ezZ/1GJ/f3V7qQZ9SQX5FJZHsC0D1fRprmGpbMDiuJbdJ5SXp3g/JJ8+5NdfD74OTannOeLVoOLCRyAIcNb8/KLP3D2opna1ZVFQueZE3KaiybeOFTA94ta3fXa5FtMGKxmBEHAT1P6y2ve3B2UC1fy2fu+RfMEUColfDfTn+pT8zl+1sSJk7kEBLjTsVOtux6zNAptzheS5gF7g7n453DX6dB6elJ47QaaGiVdmnZ9PqbkFIwGAy/060VavDNtWqV1o23vPjwxdhxWmRa51YAtK4m3Jr9J3LWraKpWQV65PPHJqcx59y12rlnFqJdeAVFE6u5OzpbtYLcjqJTkP9EQbWVPgiUFRSIHQFOtKpkrVpG64AfMmZmE1qhJ7MVL2I1GpL/rh3Vd6kczxw3cM5No3rgSsYA1IxNTQiLNu3Tj0LYtiHY7VdrWZ5lqMxGOXG4apLReqMc29GnUblpSgKHuI1iaNpcKXma2t81hsHoIKZK+ZMxfxHv/G0NGchJhNctT0ycPS3Iqh5N0eHbvjPHiFb6Y+gpfbdyMt5//Pa+5ujADRBGrXINN6syUFAThvru2I4pUKhdE5bDhWDqFEZ+Wh7vOi7rNWxSN4ebhgSMnt5iF+ffYsnOQKRTI5I/2velyhLt4rFFL5Zw5E8O8hTt57xVvOrfR0HtECs16xDP5rQx6PZlEjdZxqDRefL9ofKljeCjUZGbqOXc1gXde0hUJnKL17lLee9WbM6fjOXM6psT+wVodAMkFudyMTuPsmXgmjPEsJhxu8+wITyQSKDxq4IeOo0sIHIDBQ1pQs1Y4HQclM+eHXDIybZBvo/XldKaPiaNps0r06t3wrtcluSAXAH+1e5ktK44cukT/HppS5ykqJURVUnDmvImNG/R8/MnIYtlc94MoihTanemtty1mLh4+pDIZ7fv0o+DoMSxJxWNRRIeD7E2bEQSBw9u3YfDWEfC/MQRNHIeyaSN2rF3F+889g0Fwvli3fPcpSUkJBL/0AgHPjsG7d08Cxj5D0OQJxNy4zopvvwHAb/gQImdNR1OvDnJ/f3JrNUOQSAi15xY7vt1oBAEsySnIgwKJvnAeu9VKxsLF2PPvuE8LCy1s3n4JbDY61vHBIz+DzCXL8PDx5dm33mHUy6/hffU0KwxLiHDkEp3toP0aAevg0aij7mQcpkg96bhJxU2DlAreElaKa4nwV6Mb0IeM5CQEmYx28iRknu7E+lQkxaoic/kqHIWF2EWR3evW3tc11xamAmBUB5bp3rsbMnshEocNQSqlSosOdBwwiCYdOhYTSU07dsackUHhpSsl9neYzRiPHqNZp86PfCNPlyXHxWOBw+Fg396L/LLpJIVGM1WqhjJ0WEvUUjlHj1yjY0c3FHIBXx8pPTpqyMpxsHNfAXaHs6/S/IXjCQ72LnVsnVJDVmY+Ug8pbZuXTAUFaNfc+fC4ciWJOnXLAc7Cg6t/PsKin38lPcCEUi6jriMUgIjQ0r+OdJ5SdB5S8vKMKKUlt4m5mcb+fZcYMKgFe349x6Q3LzJ+qtN1JZdLGDCwGTM+HXFPwRGjd6bGh2jLdmsJglBmDFOW2bnOmi+ydNlkunWvV/qGd+F2nJMgCC6R85DT56mnOfvbERK/mo22cSPUUZWw5xswHDmKKS4eRBGv7l3QdepQtI+qQjm0tWsS++VsDv52nvaVteRfO4lnt15FHbeLto2MwLNzRy5tctaCsqSkIvf1QVuzBhk/LuVGmolO3gIBjnx0DiO5Eg2i3U7+kaOoKlUiaNyzAFgzM0lftITC6JskvPMh6sqVQCLBePUqCXYHtbqGEnrjKm3jD5BSoOCFL79DoVLRfWA/Pvdai86cSnS2gzY/FmBo3QqvqlWKzdNw/CQZlxLo32IQa2V7KK8x81P+Euqf8kSQSOhT14Pa3ephV2s5o6xPUGMNhdeukzZvAVJPHVdOn7r3xRZFPPVOe5VBG/qnfi91obMKslmhQyyjQXG1Bg2p1qAhV5csw6t/H9zq1kaQyTAnJJKzfhMUGOk1cvSfOv7DhEvkuHjkycjIY+igWZw4EUOl8kp8faSsW3uYaR+uZti77cnLK+TANTN71hVSs6qC5DQ7ick2OrfVsPjrAMo1iuPggcslXFW38VFpkStkyD3lpGXY8fYq+dBIzXBmCbndSqG2WGw8OfQLdmw/S/tWWirX9Caz0M6OFaeQSWH1L/nUqVHSz30jxkJ6ppXIyOIm7ZxsAxPGzWfzL6cQBOfHncMBDRuVZ/DQVvj6etC4SSUCAnT3vF5Gm4UUo7OKa3nPklklt2nWohqrNx1n2us+RfE4t0nUi1yLttKmUfU/JXAADFZn9olWpnjgthku/lk0bm68M28B6xbO59f160jb50yrrtagIe4VKnHy2FE827UpsZ8yPAxN3dqs23KAOh51CPcQnEXvSkFbtzbZ6zfiHxaGfvdeNNWqoK1Vg1x/P2IWLuPG082o5AlV7WkcNPqT8dMKbJmZeLZtjehwIEgkyH19CZowlsT3p1GpchXUWi0OhwPfXn3Jz81lZ3QMw6OsNG/ekH7PNSGrfBBmnMHR16s8SZUby9gcPha3gz+QuGkLpms3cGtQD0EqpeDsOYznLuDWuCG51RrS60A2a4OP8r13bQpObWBgVRkNW0chqNVsV1QhV+L8IFJXroRHyxbk7T9YrEFmQvQNti5fxon9e7FZrZSrUpXOAwfRukkNFBY9DokMvXvEn/u9bomcAnXZrjFBEHhp1hd88/YbnFq6nJzVa5EolFj1erwCAhn94ccc2bGdk4cOYLNaqVStBp0GPkG5qlXLHPNhxCVyXDzSiKLIsCc+IyEukV2rQ2jTTI0gCGRl23n1w0xW/nAAbVU3uvXwYPboQLx0UhwOkfVbCxgzOY1npqSjVkkwmUovEQ9OkRMW5ot7sJo5i3P56sOSD465P+bh7q6kTTtn0a7PPt3I3j3n2bIsmM5ttRzLEjiZI2FIOxWfjo3n87m5TByjw9/vzi3ocIi8NSMbLy8NPXrWL1pusdgY0HcGcbGJLPgigCd6uSGTCWzcbuDl9xL55stf2L3vQ3Re91el9FJWMqIo4q92x0NRto//2bGdWbniEBPfyOCLD/yQy51CpLDQwYfzDdjsAv26NMZms3P6VAwmk4XKUcH3JbQA9BZnYKW74sFq67j4d9C4uTFs4mSeGDsefU42SrUarbsHM1+chCIsFEFW+utEWb4cZ1efxEEddCoBT9GIgbL/7tr06MXq+d+RNmc+np074Df6SdLnL2LPgs0ENNYR4TjK6p1ZWKxOwZD18xpyd/6KV5dOuDdphESlQlu/HunXbvDt5u0lxldY9JSL/wWZzYQudj2Z3jXJ8KnDzYhexIV2JkCq5J35rZg5eSKnDx/CdPUaAPLAAHwG9sO9aWMEQeD66WgaXfSlcgMLYxsq0GllSHx82aKoRrS0eOVwbZ1a5O3eS9itbKiT+/fx+StTELRaNPXroFSpuXn5Cp+9PAWv0c0p36E+evdIHJI/Fw/jXpAEgFEdcNftNG5uvPLZlyTF3OTk/n1YzWYioqqg1miYOeUFrHYbqhrVkSg9ObR/L3s2rGPYpBfpOWLkn5rXv4FL5Lh4pDmw/xLHj99k+8qQYq4kH28p8z7158zwNHLUAh06uxETb8ZYKBISJKNfdzcKTQ5GjHdWB61Vu+wvJi+VFrVSTpMWVZj71n6C/GRMeFqHm1aC0ehgzo95zJqTw6TJPXBzU2Gx2Fj4/U6eHuZO57ZO4VHNU+R0LuRLpXw0I4BeveKp0z6Bt170okl9FbEJNr5ekMf+I0a+XzQOleqO+2bjhuOcOhXLkS1hNKp7RxD07+FOvVoqqreKZ/GPe5n4Qvd7Xi+TzcqlHGcH5lq+dzeF16lbji++GsPkSQvZsM1I7y4arFaRdVuNyFt40WdgE84djGFi37mkpDgtQ1KpQI+eDZg2Y3iZ7r/b5N0SOZ6K0l2ALh5OZHI53v53Xp4aNzcc16+VGcBqz81FotKijKiNIOwm5MpRrtbvVmK7gtNnkMhktOvbn0q1arNwxjRSvplbtD7O3R0rWlSmTFpU9+Z87S6oypfDlpODfv8hMpf/jMNkwrNNK2e2l6n0GlYWhQfREb0JSj+CR348flnn0OmjydZVJc+jPHapEkEQGDHlFU4f6oVbk0Z49eqOVKMpOj/jkSNUMsTR5Ynm+FoSKFQJZBfCNkVt0qS6EscUb1lwGrZtR35uLl9OfRVl1Sj8Rg6/Iw47tUdzfD+2m9uJv+GJpWO/+/5Nfo/CkofSnIMoCBjcwu69AxBSrjwh5ZxFUA16PRN6dkUIDiLkqZFINU5BKtrt5GzZzk9ffkZE5crUatL0bkM+NLhEjotHmi2bT1EuXEn7liW/DCUSgfYNFCy5IfL6Z7lkbHbGobRroeaD13wY2NOdca+lI5Wpade+ZpnHkAoS/NUeRJbzwy1Ew1vTs5j2ZTbhoTISkmwUGEXkMji4/yKFhRYSE7LIyDDQt9uduAM3GVT1ELmYJ1AYqCY4UI7GzYeJb6ThcDgDX+rWjWDl6oF07FS81sjPKw7SqqmmmMC5TblwOf27a1m5Yv9dRY7D4WD3rxeYt/VX0qT5aAUlmnoQ0LcxSmXZX4sjRrWhfsMKLJi/i/2/XUEiEeg3ojGBXfw5fzaO76ZuYvRgD54eFoqPl5Sd+4xM//os3TrdZOee9+7auiLX7OzI46m8z4wRFw8doigSWr4CBzb/Quo3c1FGhOHepDFyf6clw2E2U3D0BC07dUEMrUVwuUgirhzjnH8tlGF3RLYpNo687bto3rmLsyiejw+frV7P9fPnyExJxl3nRdV69dn4/nhqqAx0HtCYTG0V8iUqZDpPVOUiyXLTkvPLVtwaNcR09ToRpdSQuY1NriUhpAPu+XEEpR9Bbi0gIOMEARknMKl8KFR646vx4K2pY1k1by7aZXG4VY/CTyXinRqNrzETZVMfZHkp5Cckcyzext5YM17VEtHW1JU4nuHkKVRublSpW4+ty5dhs1sJfGJgMeuXIIp0r+WO3OTDpoNXaNPj7mUgyuJ2PE+BOohLFy6TGh+Pxs2NWk2a3ld21r5NGzAVFhI6YmiRwAEQpFK8enTFfPUam5ctdYkcFy7+CQqNFry9JKV+QZ48a2L2N9lEPBFAs0ZaRoxTExdt4ct5ubTrn8SWZcF4uElo2a4eUundMwjs2TaW/3SAsGoKpoz1JyHJRnSslQA/Gwd+K6RHJy2bdsSy5Me9dOjoFCkWS/Go3fpeDq7lS0k3CRCgpG+XJjzzbAcSE7Lw9NRSvkLppuWszDzqVin7Vq1cQc6ug/oy11utNp55aja/7DpNtcH+BPvJMJ5MZ+yc75jzzRbWrp+Kj2/ZpdurVw/jsy/uBCCez0pkx5UL7Nt4gQ9f9WHqpDsWm0rlFfToqKVex0S+/GwzH348tMxxs00FAGXW6XHxcGMyGvnslSmcO3IYmbcXCJB/5Bh5v+7Fs0M7NHVqkbtuIxKLhR5PjiDPPYB6rdpSoN/Ihu++Ii20MrIAf6zJKRReuw4SCRdPnmTdwu/pPGgwGjc3KteqXVRgUJ+Tw6ptxwgc05DyUoH21musV9Qsyj7SdWyP/uBhcjb+QuGNaDp9POOe55DvHkGBNhiP/Bi88q6jKUxHZcpCZcoCYGA1GW1f68+1c2dJTTiB6LAjSKWIMgl5GXrOXjJw0+5PQnIaVsHpOpP7+qIIcrZgEEXRWZDv4BEGPjsWmVzO9QvnUJYrh9St+N99PVsCwfY89H6BLP/lNK0cjgfObBJEO965V8lKS+WDpev49dSdLuhqNzf6jB5Dr5Gj71rc7+Lx46gqVUBWSt8qQRBQ163Npe27Hmhe/yYukePikaZa9VCWL9tHarqNQP/if84T38igcnk5Lz7tQb4oITRQTsu6Kgb2dKPrkGSenpxGUqqdtu1KNr/7I2vnH0KlFHn6WR+GVhGR/e7ZM3thLhPfyKBTGw1LFu9hzDMdiIjwYdnafLq0u/Mg08qgobeDJSfsWIJVNGkVhZ+f5z0bdYaE+nLqfHqZ7oBT5yyEhpYdQDx92jq2bD7Ja3PCCaysJlIr0u15FafOedB9WCrP/W8Oq9a+cs9rcJskQy7nz8ejMNiY9EzJAoDhoXLGDHXn+6V7ee/DwaUKyNvFEQG8VS531aPI3Pff4eLpk/g/PQpNjeoIgoDDakW/9wA5v2whb9dudP7+TP5mDsERkdgBk28V2vaWoKyhZ+aqk8QdOoIoiqiqVkFTNQprUgqr5n/Hwa1beHf+Qtx1uqLj5WZmIjoc7HKvxVNCGhH2bBrYEjghDwdA6uGO1N2N/CNHadq5C006dLqv83BI5OR6VibXszIymxGtMRWFJQ+FRY/CZkBTPoCokOpcWLiA6zGpZAdHkKkLJT01l4KY04hiIprqVZE5RAovXyZp+qeooioj9/HGdDMGa2oaDdq0pc/oMYCz5xV/aBPj78inqS0WgN15OvKtpX+43QuP/DjyU2LZsm4TR/L8CHz+WVQVymHLyUW//yDLv/4Si8nEwOeeL3MMZ+X3ssWVIJEglpV2+RDyaCfAu/jP88TgFsjlMqa8m4ndfufGu3DFzG8nTbz1og8h7s6HRbrznYpSKeGdl7yJibfh4aG6Z02ZwkILv6w8TvNaCmQKCQnG4g+fMUM98PaSYLeLxMdlIJVKGDuuKz+tyWfekrwidxSAPN3MpnV6giO8iJVlc/z4DXKyDXc9/oBBzTl9vpBabeKIahZLu36J/PizHrPZwYkzJn7ZaWD4yNIrqRYWWlj4/U6GT/YjKEqNTALNfZ3xAfVqqZj1nje7dp7n6pWku87hNiablRRjHvo8IxU8QaMp/RFSv7aS3NzCMnt7ZRY6z9ldrio1Vd7Fw01qQgK/7dyBrndPtDVr3Om3JJej69gOt4b10ep0fL3+F6Jq1ynaL8urKlKpjBZRPmgFM3I/X8Lee4ug557Gs3VLfIcOImjKRNLSU1n82cyi/SxmM9GXLgCQnpbPfnlFAJpbb1LJ5swkshsLsRsKaNSuPRM+mPan6rvYZBryPMqT4VuXpODWxIR3Jya8O28vPcGcg5mc6zOOjH5jENt1xm/oE4S++RoynSf2ggICnxlN2LtvIg8KxHTtOgUnTuKn1vDCjE+Z8unnRT2majVpSmFMLNZMp7XI3WGil/k8UtFBtNSH3w5eo0ajxg8uckQRv6yzXDh+jNNGN/yeew51VCUEmQy5ny8+/fug69SBdYsWkJedVeYwVevWw3TjBnZDQanrjWfOUaXun8uo/DdwiRwXjzQ6Ly1ff/s/Vm000KBzIrMX5vLzxnxefNtZO6Z5IxUBSqfISDPdeWg0b+T0NQ8d3rpYkO8fEUWRvLwCLBY7NW4lTEQbij98VCoJ5cPlJKfa8PJyVlJ+5tmOjB7TjrGvpFOtZQJPv5hGl8HJ1GoTR8FZK8YCMzPmbKDfpFlUqTSe556ZS3p6XonjZ2bomTl9LRIJRIbL6dvNDYUCnpqURrWWcXQclEy9euUYPKRFqfM/dzaWQo2D4EZO03MLXweevzvd/t3dkMsF9u27dLfLXERcfhaiKOIpUxN33VJMWP6e6BgrSqUMi8XKzBnrqVPjBQJ8RlGz6gQ+eG8V11Kcwc/+ZVRbdvFwc/rgfiRyGW4NSn/ZuTVpREFuLokxN4stL1QHYNCGkJ2STCV7HLrePUq4bRSBgbi3a8PhHdvR5+Sw/ecVPNelA9+9/y4IAnl79nFO9OOMzBnz1tl6hRB7Lvr9B5AIAk+9+vo92x48CPqcHA5t34ZHx3Yl6vvIvHR49+6JOToGc1IyMg8Pgl8Yj1ShoM+I0Xy2ej1NOhTvcN68c1c8vH3I/HEp8pxM+ljOoxUtZKBm+babmOIT6TF8xAPP08MQi5ibRFxsApeiWpbarsGjTStE4MiOkllnt2nTqw8ymZzMZStwWO60yBBFkdydv2KKjaPr4LLd0A8bLneVi0eefv2bEBTkxZefb2LSm2cRRfD1dT444xNtlKvq/DNPNwvYRZAKEJ/kNBc3b16lxHg2m52li/ex4PudXLyQiFIpQyYTyLpWSGgFDTEFAhYHKG59IhQYHVy7acVsFhk/qTngNEnP+nwUAwc144eFuzl/PQV3dw09emrYtPE43RsJVO7vjVbjieFaAcs/O0bXY9fYvutdfP3u+MInjJtPemoap3aFU7Pqnbo6R04U0vmJJIKC/VmzYWpRZ/M/kmbOx6OBB1KpQC1PB9U8i4sSmUxAIhGKsj/uxY0851dzj2Z1Wf/uQZav09OvmzsqlVBUGTnf4GDekny6dqtH984fkJSUyeA+WupU9+bydQvff7eZdVdO8OSEdvgFli82fkpKDlu3nMKQb6JipSA6da6NTPbXvbBc/DXYrFYEmRyhjJL/t1sqWC0l+0il+dVHPLqVWkEyUioGkFbK/poa1cnZuJk1879j+8rluDdtTGi7NtgMBlK/mUvq3Pns6NEVbbAvFQqS6HR5FenHr9N6+Ch0vmW7bv8MsVevYLda0dQq3a2tqVENBAFzbBzKkGAkKhWq6tU4e/Q3Bo0dV2J7pVrN61/P5tspz9Fl2+cownxJRcG83ZlkZxsY+dIrDxzUKzhsBGScoLCwkKNJdhyNSjYLBpBqNSg8PcjNKtuS4+HlxYufzGLWS5NJeu8j1LVrIVEqMV26jDk1jf7PPEv9Vq0faH7/Ji6R4+KxoGmzKJo2i8JksmA229BoFNSu/gJffZ/Lj18HopKCyQ4ZJmdTy6+/z8XTQ0Xb9sUfXDabndEjvmbL5lP06Khl7DA/cvMczPgmhwXfZfNhex1WhZTr+QLVbwmGbxbkos934Our5en/dSwaSxCEonkBJCdnU6vaC7wy3ouP3/DlfK7AwUwJ+Hswu5GaZ/rH8dmsjUybPhxwVjfetvUM33/uX0zgADRtoObtKT68NSMTq6W4f/82cfosUjwMKJRSki8UULGCkk+/zefsRTNqlUDPzlrsDhGz2UGjxpVKHeP35JqNpBn1CEDj8hWoVDmQMZNTGTkhHY1aYEhfd9o0U/PVAj25+QJ5eQXk52VzelcoFcvdEWEvj/eiy5cmNm8+yaj6LQFncPRrLy/hxx/2IJGAViMlN89GcLAn38x5lrbtys5+c/HPE16pMvbCQsyxcUg9PbDEJ4JUgqp8eaRaDcZLl5HK5QRHRJbY16TyJVMIQBChjekqP2sbIf7BNSPeSv/es2E97s2bFjXPlPv7Efjc02SuXE3yF7P5TgJPVJcTFaDg/RFN8erSlpy7dDq/TWZqKrvWrOLMkUPYbXaiatWi08DBhFcqeR/cdnuJ1tLvM9HuLAT6+w7tgkyKw1RS4N2marg3q6ePIOnKOa5EJ7InVkPjTs1o26cfgaGhZcbflYVf1lkUlnws7r4cTnTgnpSMKrJkWQx7fj6W3Lx79s+q06w5M1euYceqFZw8sB+b1UadGrXo/P5gqtVvcN/zehhwiRwXjxUqlaLI/fTq1P68MHEh3jopTYf7YpLJuJgm8s3yLL76Ppd33nsCrbZ4WvbCBbvZuuUUaxcF0rPTnSae/Xu4Ua9DPDPfTqX9SF8UVhmOZDPzluTx7aI8fH3d2LztLQIDdWXObflPB1EpJUyd6EwNrakTAQcHMyWkKuR0nejP8nkHeP/DIchkUn474ixCNqhX6S6dgT3dePWDTE6ciKZzlzpFy20OO8fTYrmck4JcKaVBxfIs+egISz4ABGhYW0lOnoMFy/SoVQK164RTt175Uo/xe67mOPvpeDhU9Ok8jYz0LJ4fpaNBHSXRsVbm/pjHDyv1hIR4M+/7UQwd/DnffOxXTOAAyL3ltG8jYdXqDFKis/CqpuHFSYtYueIAH7/hw9PDPPD0kHLmgpmpH2UxeOAsftn6Jg0bVbznHF38M9Rs3ASfoCDS5i/EYSzkdv8PQS5DU6smhZevEBIRyelDB2jcrgMKVfH7TNpwIIX71+GdfJ265YI5JS9ezyX/+AlUbm6YDAb827cptk5duRKhb7xK7q495G7eitjmOZq2iSTQFA8ZJ9CYc0gJaIJDWnrn7HO/HWHmlBdwCALqGtUQ5HL2/bqTXWvXMPqV1+g8aHCx7SvWrIlSq8Vw4hTePUup73PyNADKCuUpOHMWw4lTFF6+ildEJNfPn6NijZpFgiU9KYGUrd8TabpOrlKOR6V6VOz9Ed0uXWfjj4t4bchAHA4HfiGhdB44iC6Dh96zQabKlIVv9nmsFjNztkRjcQjk7d6LW4N6SP7QPTxv916kEglNO3W+65gAgWFhjHjxZUa8+PI9t32YcYkcF48tI0e3xWg08+H7P7Nwj5nAZjrykkzkH9bz2ut9mTS5eF0ZURRZMG87/bq7FRM44EyN3vFzCG0HJbHWW8U6qUDOwRyUJoHRY9rx6Wcj7xnoGBebTrUoJR7ud9wvNXUiMomDgxkSvMupkNXXcCI+hkblKhQ9GMtKZLi9+PYHnyiKpBr1HEmNLqpBU907mPBGHmw0H2ZoP3c+e88PXx/n8X87WcjAp1MxFpix2x13TaO32G1cy3U6FtbPOUxBfg4ndoRSIfKOgJn0jI4OA5MpMCuw2R04HCI9O5VMD08wCkSVl2PJsHDmVAxKhZylS/bzzcd+jB2lK9quTg0lG34MonG3RD6ZvvaBMsBc/L2YCm4HpQr4DOqPtlYNRKsNw/GT5GzbAQ4HKZnpzH7rDRbNnMHz77xPgzZ3guO9wivym299NFfO0kilJjHEg3SpJ6LDQf6Ro+QfPEK9Fi05feQwcp+SGXyCRIJb/brkbt5KZJXqZEU0gZyLBGQcR6ePxs2YQkpAY/RukcWsOrlZWXz60mTk5SPxGzkcyS3xJdrtZG/4hUUzPiaychRRdeoW7aNSa+g8YBCbli5GGRaCpnatonvTFH2T7A2/oKlejYwly7DEJ6AID0NTqwZpcQm8NepJ2vcbwJipb7B38Rzsh34g3FtOhocHV1LNrJx3Br+IPaTExaEIDEDXqwcSNy2FV67y09dfcubIYV794mvkitLd0RKHldCUvTisZhYu38ayg+l4tGxG/pFjpHw5G12XTsWyqwxHjzNkwqRiWWuPOy6R4+KxZuy4Lgwd3oqf1x7msOUmbs1VTJ3fk+CAkoW2TCYr166lMXVc6fVqmjZQ07iWGqlfEFXaRBA4zIPn2rS7a+Dy7/HUaUlMtmK3i8V6QVX1EAlS2TnzmxWZUsrZ/CQSbuTiXcsTqUrCyg35jBlaMs185fp8lEopdeuX42ZeBhezk8kodHZeVsvktAyuTKibF0MmzqJGVRWLvgwodtwm9dWsXhBEs+4JbN925q49qK7kpGJ12JFZBbYtO8nMt72LCRwATw8pM9/xoX3/JG5cdwYWFxhLxvokGAUsVrCkW5ArZKxd8xueHjJGDy5Zl0OhEHh+lAdjXzlPTrYBL2+3Etu4+OfZufpncjIzCH5lSlHhPwBdp/YoggNJm78In8GDkPv5kLNhM5+9MoVhk16kcq1alK9aDalMRpvJMzk7cwyeJ07R4vx1fkj3Iz8+DUt2Nu379qdWk6acOrAfS2oaisCS96Ql0ZkR6BMQAIJAlncNClV+hKQeQGHRE5a0B4NbKKm+DTCrnLWc9qxfi81uJ3D40CKBA85Cd959exUVuvu9yAEYNHYcyXGxnFi0BLm/H8qIcCxp6VjiExAUCszJyYhmM0GTJxS5iW4Ltt/Wr6GmLBG/lFO41S6HpEIl9qmrcEnij67yeZJ/XIq2bm38hg9BuBUw7d6wPm5NGnFxzny2Lv+p9EaZokhQ2hGU5jzOX7nJwn0J+E+ciDI0BLeGDchatZb0BT8Uba7x8OCpV1+n48BBf+5Hf0RxiRwXjz2enhqeGd0B3+hT5JiNFKpK963LZBIEAQwFZQfh6g0Oqjo8iIoKRgRyrEZiT8WQlZlPSKg3deqWK9OXPmBgU775ags/bzQwpG9xF5TK4WDP3HRqt6qOm0pJvtVEvsREkwk1+WB3IkIlGw0ryVFKwSHCyfNmPttupcPkhmzJuIhddM5ZKkioqPOnvl8EKpkcq9XGju1nmfVuySabAI3rqaheRcXWzSfLFDkWu43zWc4Xijpbis3mKGpX8UdaN1WjVksQATc3BYt/1vPBa3cCQQtskGEWOHfJhCPbRqvW1Th96ibBATJUqtItSeUj5Igi5OYWuETOQ8LujRvQ1KldTODcRl29GvKgIAzHjuM/cjh+o4aT9OkXLPn8UxBFdP7+9Bv9NB0HDqLJmz+g3f81GdfPMc7DztGK7Wjdpz/lq1bDarHgptORu30XfiOGFruvRJsN/a97qFCjZlE7AgCjJoAbkX3wyz6Hb9Y53AyJVDQkYnALJcO7FheOH0UVVRmptmRtJkEQUNepzYXDR0usk8nlTPn0c/Zt3MCCGdMwnDyNRK1GFuCPLT0De3YOfiOHF4uD8cBCy0b+VJCVh9SzyAL9SKvamF8VURgEJQJgz8sDiYBPv95FAqfoOlaqiLZ+XbavWknPEaNKPFf8ss+iy7sBgsDXW68hVK1elP2lDAsl+MWJWJKSsWRkkrvxF2rWbUCnQU/c3w/8GPHIiJyPP/6YtWvXcuXKFdRqNc2aNWPGjBlERUX921Nz8YgQ5u5NjtlIXH4mFTxLPpzlchnt2tXgh5XRPDfSsyhb6Danz5s4d9HElKn18Nbp2HDkJN9O20z0hsSibapVC2b6zJG0bFWtxPi160TSo2c9/vfSGfT5Dp4c4I5GI+H0eROvfJBFfJKDeU/1pWqlMGL0mVzNSaVrt7qs0BfwxkI9FSLl+HpLSc2wE5dgJbxZCC26V8cuOlDL5FTxCiLKKxCN7I6FxWq143CIeOnKzlDy8ZJgMpfdoPRCVhJmuxVPhZowrdPakpNnL3VbQ4GIxSLi6alh9JgOzPx2K9WrKBnUyw2JROCmAa5FW9j5i54n+jUjIEBHRIQf0XEWMjJt+PmWfCQdO2VCpZLhH3D3ooku/jlyszLR1i09GFwQBBTBgdhznSURBKkUz1YtyFyxioDnnqbg5GkWzphGfm4O/f/3HLYWz1A//Bca2q109KhAUpCzy7VcoWDklJeZ/dYbiBYLnu1aI/PzxZKQSN7O3diSUxgx9/0SxxclMtJ965HrXh7/rNN45sfiZkjEzZDIwLBc9uVApmjGIJQSsyMRuOMILnlebXr3oWmnzhzesY39m38hKy0Vm58fubm5aGvXRCbaiXRkU92WQoQjB0EUsYUGcuVKPKf8qpLzuwrNAJakZJShoUjdS4+7U1etQsaxExQaDGh+t41n3g38M04BkOLfhLM3F6JsVfJdqAgJRhESTOHFS2SlpZZ6jMedR0bk7Nu3j3HjxtGwYUNsNhuvv/46nTp14tKlS2i1rrLwLu5NpLsP5zITSTTkYnXYkUtKvvgnvNCDPj2nM35qBjPe8sXdzWldOH/ZzOBn06lUKYBu3euxfM1BNmw4RpUoBdPXhdOqkoxT501M+zKX/n1msHbDa7RoWbXE+PMWjOOFCd8z7rUjvPhOJm5aKZlZVkJCdPy85gVq1Y4EoLIugMq6APJDTHSIqMaGHSfYdfgc1+ON6HSejOhVjRZNqhDsrsNP7Y6nQl2qBUmtVlC+vB879hp5cmBJd1B2jp1jp0282sVZNTYrM58bN1LQaJRUqx6GyWHlQnYyAPX8wwmN8CIw0IOFy/Q0qV+yD87in/WIInTsVJuAAE8SE7IYNvYo785UUrOqnCsqNZl2gSr+wUyf6awFMmBgM955azkffpHNFx/4FTuPlDQbsxfp6T+gaYkgcRf/Hp7ePhhTSn9piqKINTUNuf+dDB7prRgQRUAAmuFDkHl7sXr+d7Tp3RefgADig9sRkbgDnT4ah1RBin8TEARaduuBXK7gp2++JOWrb4vGi4iqwug580q4lX6PRakjMbgt6RY9Ptnn8dLfoGqkH0LeGTzyD5Cm8CZJ6kmiREeyxBMzUkxnz1P9HoXulGo1bXv3pW3vvggOG/uWfMv5LctpYL1AiJiHTLxjCU6QenFU9OPgqUP4VNLh8Yd7VJDLcRQWlplN5TA6Y+t+H3zsoY8hJPUAAJneNcn2qoqbp47CjLLTwu0ZmXiGR971vB5XHhmRs23btmL//+GHH/D39+fkyZO0atXqX5qVi0cJH5Ub7nIV+VYT8fnZpVpzWrepzhdfPcWUyYtYttZA80ZKsnNFjp0qpEIFf1ateQWHQ+TD11fSqJeKLr3cMcrB08tOpzZa2jbX0H5AEm9MXcLeAx+VeHCp1Qq++/55Xn9zAFu3nMZoNFOlamiZ9WDcFSqi/IJ4ZVhPXhnW84HPWRAEnnq6I+++vZxRg420b3nHTO9wiLz8fiaiKKFzlzr8b8wc1q/7DavV+ZAOD/emz6stCa8fQIDGg0h3XwRBYMKkHrwxdRlRFRWMf8oTpVKCwyGydouB1z7KYtATzQgNdQaLLvhhHM8825FlS/eTmJ5NQFUl7WuEM6V9FzQq55e0j687730whNdeWUpCko3nR+sICpCy73AhM2fngUTDa2/0f+Bzd/H30bZnL1bN/w5r5w7I/1CXpvDyFSxJyXj16Fq0zHTzJoJKhcTd6W70bNeG/H0H2L95E32fepoCbQjJgS0IST2Id85lEB2kBDQDQaBJx040at+B6IsX0Odk4xsYRHilyvedYm1ReJAS2Jx03/pIZBWJ33ea8hcuElCrJoEOPfVJQBRFMq/FkuCbQYc+g/DPPIVdosQudVpFBdEBiMjsJmQ2IzJbIUpLHkpLHr6hufiF2HHLuonMywu9RMVVqT8XpUHkSdTknN0GEgnW9IwSc9NUr0b+oSOYb8aiqlCu2DrR4aDg6HFqNm5SlJ3mqY8mNGU/iCK5nhVJ83Omc7fu3oM1C79H17UTMi9dsXFMN2MojIml5XPj7+t6PW48MiLnj+TlOU2h3t7e99jShQsngiBQ3tOPs5kJROellypywJmV1b5jLRb/sJeLF+IJ8ZIzf3x9evZqgFIpZ8vmU6Sn5/PBMC/OySHfBqdyBBr7iMjlAq9O8KLXkwlcvJhAjRrhpR4jItKf556/dxrnX8Ezz3Zkz6/n6Db0IoN6udGlnYacXAeLVhg4d8nEjJkjGD7kMwryc/n4dW86ttGQmW1n9lojK3YeoYWpKjOeHFz0Uhk7rgspKbm88v4WPpmdR82qcmLi7MQmmOnStQ6zftfM8/e1gs5lJnIiPZYAjQeef+hX9ezYznh5uzFz+lo6P+GM/5FKBbr3qM8H04YViSYXDwcdBz7Bnk0bSPt6Lp7dOqOtVQOH1Yrh+Elyt+1AXaUy6ipO94k1M4v8g0dwb1gfyS2LhESlQuHvT2ZKctGYuZ6VAJGQ1EN4515F6rCQFNgSUSJDIpFQqWat/9ec7TIVlG+O19CPmfn2y1Q4lkvFOhFEau24ZaciKzDSq1MTovxFyDxTbN8CvZ687CwcUikegUHFLCve4RXJlPqwZ8cN9ANGkaf2LXJJmePiyd9/gPAKFUn67RhuDeujDLlTqE9ZoTwSlYr0Hxbj/9RIVOUinXM1GsnZuBlTQiK9p74FgFfuFYLTjhQJnKTAFkXH6ThgEL+uX0vaN3PR9e6BpnpVRLuDglOnyd3wCxVq1KRB6zb/r+v3qCKIj1KnrVs4HA569epFbm4uBw8eLHM7s9mM2Wwu+r9erycsLIy4pHl4eNy75byLx488cyFrok8iAAMrNcRNXnotjbux4PtdvPrSYiyJFYkxCGxLlSAAfUPtBKggMdlKRP1YVq6eglqt4Ohv10AQaNWqGg0bVfxTjff+v1gsNuZ/t5MF83cQE5OJIDhdShNf6M7Wzaf5aclOjm8PpXyE8+FtssPKBClb9hey/acsDi57n/CI4qLw+rUUflq6n/j4DHx83Bk4qFmZ5yeKImuiT6K3mGgeVJEor8BS5ymKIhcvJmDIN1GuvD8BAbq//Fr8m8QXXCDRmMmxvHLczPTDl2Aae5cuhB8WzIWFHNq+lXNHjuBw2KlYoyZtevXBZrMy9/13OXf40J2NBQGpuzvevXsg8/ai8PoN9PsOItGone0O3JyWHNFmI/GdD+kxaDCDx00odjxP/U1CUvYjiA4K1b7Eh3TAJvtrm7gmx8ay4+cVnDp8CLvdRs1aNejVrxvVKoaisOYjtZuR2s0UZKexZ/16Yq9fQxSh0AZmQUmtNp1p+cQoLBo/bFI1CdE3eO/ZpzFZLGga1EPm7YU5No6CcxcICo9g6jezmTXlRRJibqJtUA9V+XLYcnMp+O04Dr0eL39/MhITUQUHIWi1mOPiERwOnnnjLdr27Elg+jGnhQvI0UWRfMvK9XvSk5P4+o2pXD931tkp/VYV8wat2zD23ffRupd0Vz9KGA0GnmrdnLy8PDxK6ZBeFo+kyBk7dixbt27l4MGDhIaGlrndu+++y3vvvVdiuUvk/LfZGneelII86viGUc+/ZFXQe7Fpw3FGDP+KywcjqFxBwa5UCdcNAh5yGBhmZ+/+AroOSaZCBT+iozPw8ZbhcEBOro2GDcuzaMkkQkL+Gguk1Wpj8y8nOXL4KsItIdWpS50yWyGIoojRaEYul6FQyLDbHVSMfI6nBiuZ+Y7frW1gR5qEmwYBtehgcs9oxj7fi9de7/en55lsyGVb/AXkEimDKzcqNR7qv8ThjL1kmYwcy45EXtjsoRU6sVevMG3COPTZWajLRYJchvlmDFKpjEnTZtCgdRtSE+KJvngRqVSK2WRiy4plxF1xvpCRSHBrUA/vXt2LBdfqD/9G1srVfLpqLaHlK5Q4rsaYQnjSbqR2MzaZhoTg1mQLnhzcspmD27aSr88jMDSM9n36Uad5iz/VjPNe5GZmMvXJoRTYbXh06YCmahXsxkIMvx0jb88+2vbuw7NvvVu0fXZ6GltXLGPPxg0U5OU5w5dvCQ13b2/6PvU0hfn57Fi7mryMDKRyOU06dKT3yKcILV+e04cOcHzvHiwmM2EVK9K2Vx98dRrCkvegMTprVKX71SPDu/ZdKzrHXLnM9XPnkMik1GjYmMCwsDK3fZT4z4ic8ePHs2HDBvbv30+5cuXuuq3LkuOiNGL0GexJvIpaJmdgxYbIHvABaTJZqB41gV6dZLzwPx3RiTYuqNV4B8iJ1DiYPj6BE6fNlAuX883HvrRppkYUYdseI+NezUSp8WL1uldZu+Yohw9dAaBFy6oMG94KH9/7b1h57mwsw4Z8RmJCDlEVVTgcItdvmilXzpdlP79ElSoh9xwjN6eAcuHPsWJeIAN7Oo99LlfgUKbTOtUv1E6/QUlEVKzHnHnPPtB1+j27Ey8Tq88iyiuQ5kGuysXgtOqcKghn903ZQ2nRMebnM6lfL6xaDb6jnkTu63QZ2g0FZP28GtOlK0xfupywiiVbIWSkJBNz+Qpfv/kaspBgdD26oSwfiaOwkPwjR8ndvI0WXboy7v2Pyjy+wpJHeNKvKM25FBoL+GTBVtYeS0ZVpQpSHy+ssfGYEhJp3KEjEz+aXtTl+69iyWefsn3dGoJenYJMVzyzT3/oCFk/r2HG8p+JqHwnq+nSyRN8+PyzKMuXw7NzB5Th4dgyM8nbsw/DsROMulVR2Wo2I1Mo7irO3PPjCE47hMxmwiGVkxjUmny3h+tv5J/kz4qcRyYmRxRFJkyYwLp169i7d+89BQ6AUqlEqXxwd4SLh5fYmHTy8oyEhvo8kCD4PeHuPmhkCow2C7H5mVT0vHsflz+iUikYPqINs7/ewg8r9ADIdDIiu/ug0UqIzhUQBNj5czDBgc5bTBCgW3stW5fLqdE6jsYNXgEctGvhFEDTPjzPp5+sY8myybRuU/2ec0hLy6Vf7+lEhjj45cc7zTtPnTMxalIG/Xp9zOGjM9B53T3zUKNVolBIiY13ppAnF8LhTOeDt5mvAx+5SHyijbqN/nx9GoPVTJzemflRzSvoT4/zuBLh7UVB9r89i5Ls+2Ujhrw8Qic9j+x3FXKlblr8Rgwj6cPpbFn+UzFrxm38goLxCwrmzTnzmP3Om6R8NRuJXIbDZkcildKh3wBGTrl7uwCLwpObET0JTD/KmY0zqKUzUOH1buzzqU+axMNplTx3gWM/LmXtgvkMfHbsX3buoiiyZ9MGNI0blhA4AO5NGqHfvou9mzYWO4+lX36OIiyUgOeeLqp7owgOwm/YYAS5nBWzv6FNr96o1GW736S2QoLSf8NTHwOASeVNQlAbLErdX3Z+/yX+ehvf38S4ceNYunQpy5Ytw93dndTUVFJTUyksLPy3p+biH2DnjrO0b/0WdWtNoU3Lt6hSaTyjR3xFXGz6A48lFSRU9Xa+bC9mJfOgxszjx24wb+4O6tZUse6HIBJOl2PHggAiLWZS0+341vWix1BdkcD5PUqlgEwKbZspiD8ZyaYlwfyyNJi4ExE0rS9j2ODPSEjIvOccFi3YjanQxJZlQcWad9arpWLrsiCysvJZumTfPcdRKGT06t2IeUsMJOQ62JYiRQQquYnU9BRZtclAUoqFAYMerCvy77mUnYwIBGk98VK5yj08Kpw6uB91VOViAuc2gkyGpl5dTuzff9cxomrX4Yu1G3lzzjyenPQiz771Dt9u2cGY116/Z08mAIdEzoFsL779NRGqVCdIK/CE+TTtLNdQY0NbuybuzZuy/ecVpXY8/7NYLRaMej2K3wUJi6JIwemzpHz9LXGvvYW1oIBju3dx8/IlwBnnc/PiBTzatSlR2A/As0NbTAUGTuzdW+oxBdGOd85FKsWsxVMfgygIZPjU4mZ4D5fA+X/wyIicOXPmkJeXR5s2bQgKCir6t3Llyn97ai7+ZlavOsITAz7FTZnOqu+DOLYtjE/f8eHUsbN07vDunxI6UbpAZBIJWSYDSQW5D7TvG1OXUqOKnH3rQujV2Y3gQBmtm2nY9qUvDfxFzGYrjgpu3DSU9JvP+SEXrUbCyvlB+HjfeRD6+cr4eX4gUomdHxbuueccNm04yoCemqI+VL8nJEhGj44aNm4oWbm1NF58uRcZhQIDPjcSnWQjQCnSQGtj7o+5PP1iOj161r+vBp6lYbJZuXKrsWd173u7z1w8PFgtVgRV2bWJJGoVNuu9hYVEIqFGo8Z0HTKMtr37oiulF9XduHj8GNcNCpaHd+OKLABBFKlpS2aU6SiNrLF41auJITeXxOjoEvumJyWyYvbXfPriC3z9xlR+27UTm7Xswpe3kSsUqLRuWFOdsTCiKDrbJPywBACvrp3QdWiL3mrhjRHDOLx9K7lZzo+T0lpQAMi9vZGqlORm/iGVXBTx1EdTMWYtQWlHkdrNmFTe3IzoSbpfA0TJI+NweSh5IJFTWFjIwYMHuXTpUol1JpOJxYsX/2UT+yOiKJb6b9SoUX/bMV38+xiNZl6avIhBvd35dXUw/bq7Ub+2iglP6zi6LQSlzMx77zy40FXJ5ETpnBk+ZzMT7tuac+1qMsePRfPqeF2JNgSCIDBjqIaC2EKuxVjZmSYhtqC40Nm+x8jAXm5oNSVvPXc3CX27adi5/dQ951FQYCLQr+yHX6C/lIIC032dU2gFXyZ81xe9Rcl3c7IY0zmaoBo3mfhGJr37NGXegufva5zSuJidjM1hx0flRphbyX5hLh5eylWpivnadURb6W1QTJeuUK5KyYKXfzWiKIIgUCgo2K6oyiplHTIlbihFG02tsTyjukKrCClSh7nYfluW/cSkPj3ZtPwnLmakcPLSeb549SVeHfoE2elpdz2mIAi07tGDgqPHsefnU3D6LPmHjuA7eCBBE57Hs10bvLp2JuSNV9HWq8Psd95CuFUh3VJGkURrVhZ2kxkvP6d7XBDt6PKuUzF2PaHJ+1BY8rHJ1KQENCU6ohcmlW+p47h4MO5bIl67do1OnToRHx+PIAi0aNGCFStWEBTkNPvn5eUxevRoRowY8bdN1sV/j40bjqPXF/Lha5El2iz4+8qY/KwHL79/gqzM/AeO0anpE8KVnFTSjHoSDTmEud874yk52Rk8UadG6bFe1aIUWC4aiJcKXLupQRTltPV3EOXhFFHZufZSBc5t3LQSrNbSXyq/p3JUKLsPXS91nSiK7NpfSKFVxqyZGxn2ZCsCA3WlbptRmM+uhEv4BHvw0sTeaG4KRF9ORaVW0KVrXcLD//yDttBm4eKtasm1fUP/ldR5F3+ejv0HsnX5T2Rv3Ix3317Ffr/8345ReDOGLmP//gJzVerWw15YSOHV62iqRpEs1fGTpD6V7Rk0tsWiTr1GpygNHYWTGFL0ZHlV4+Bv51k86xM82rbGq1tnJLe6eJsTEklf8CPTJ01g+k8r7hr423PEaA7v3EHaN3NxiKCqVBH3po2LbSNIpfgM6Evi+YtcPH6cCjVrkbR7L5rqVRF+FwgtiiK5O3ejdnOjafOG+GadxSfnMjKbs6KxQyon07smWV7VcUju7cZzcf/ctyXn1VdfpUaNGqSnp3P16lXc3d1p3rw58fHxf+f8XPzHiY1JJyhAUVS/5Y80a6jGZnOQlFR2SfOykCMl94qenTvO8vqclaxb+9s9BcZtIXUtunQzfWyCFbNZJNykY/HsTLbtMfLDaQff7bfw3CtppKTZ2bi9AIejpOXIbhfZsNVAapqeRQt3Y7OV3h8KYNRT7Tl+upCf1uhLrJu3RM+1aAs6rYFZM9dQq9okfli4u8R2MfoMtsadp9BmxUuppXtkTbp3rs/EF7rzv2c7/r8EDjgtZDaHHV+1GxHurmJ+jxrBkZGMevlV9PsOkDrrS/L27Ed/8DBpc+aTufxn2vcbQMO27f/2eVSuVZuIKlXJWbMeW3aOc6EgcE3mz/w4T5bviEFXqR4yiYAu7wYVYjei2f8FHZqFUa5n+yKBA87GlT7DBxN/7SoXjt3dnesbGMh73y8i3D8Qa3o6mhqlJwRI1GqUFcsTffECT06ajDUpmbRv51F49RqOwkLMCYkYflpKhZvH+XpSJ2ombyIg4yQymxGbTEOaXwOulh9Ehk8dl8D5G7hvS87hw4fZtWsXvr6++Pr6smnTJp5//nlatmzJnj17XP2jXPwteHpqyM61kW9wFPWR+j1xidai7R6ECxfiGfrELBJTcqgyJABBJuH5H0/x9pvLWLZyCjVrll4/p0aNcKpVD+HTOTl0bK0p0dn7029z8PBQsuGXqcz+ZgvLfjnE0WDnbaa2aHlyTH0Wf7+Hj77I5s3J3kVfx6Io8t6n2SSm2GnVVOSlyT+wa8cZflw6qdSaN1271WXI0BaMnHCQLb8aGdDDDYdDZPnafNZtLWDsSE++/tiPPL2D16dlMXnSIkLDfOnQsRY2h4PTGXFFncXD3LxpHVIZhfSv8/3nmQuLYnEa+EW6rDiPKF2eGEJIufL8snQx5zdtxuFwUL5adbp9MI3mXbv9I7+rIAi8OONT3nt2DEnTZqCpVROptzfWuHiM167j17QZnsNmctORh3fOZdRZVxByU+hYvzpK8zGyJFpipd7ESrxJkXiiqlAepa8vpw7sp1aTuwfUB0dE8sGixTzZrBHiXeKPRIsVqUxGlbr1eP2bOSyaMQ3rj/MJ8pIQ5SOhcpAbtbp1JLJyGIgiRk0AOZ6VyfMojyj8fTWjLCYTSTExIEBYhYr3Fez9uHHfdXI8PDw4evQoVasW98HerluzbNky2rRpg91e9tfnv41er8fT09NVJ+cRIikpm9rVX2D6mz68+FzxmA6HQ6T9gGQKLP7s2vvBfY+ZmaGnWeNXCQmwsehLfxxBKo5kScjLsrHq3UTi4yQc+O1jgoNLd1/t3HGWwQNn0a2DhnemeFO3ppLoWCuz5uQwb4meadOHMXZcF8BZU2ffxSucNyTj6a1Bo1ByZVss37z5C/VrqxnYU4MowqqNBk6dNzP9TR9eHufN5l0F9B2VwkcfD+PZsaW3f3A4HHw/bxfz5m4jOtoZzBgRJmPqRG+eHuZRTEC16p2MRBXGwjWTOJh8nRyz00xewyeEBv6RSP7il9WuhEvE52cT6uZFp/B7p8T/F7ldJyc614+CbPVDVyfnj9yOg/w7Cu/dDwa9nt3r1nBg6xYM+jwCQkLp0G8ATTt2KlYjx5CZwjcju9FsQGsqhboh/O4VZxckZApaLq/fTWD52nR77iXMCk9ny4cysFosvPvMaBLS0wme+hLCH85fzM7AOGsmYyf+j9atGqI2ZaEuTCcvNRGjwYBCqcQvKBiz2ge9eyS5nhWxyv9c+Yv7xWqxsGrut+xcu5rC/HwA3Ly86DpoMH2eevovryn0T/C3FwNs1KgREyZM4Mknnyyxbvz48fz000/o9XqXyHHxl/Pyiz/yw6Jfmfa6D88M98DDXUp0rIW3ZmTz84Z8fl7zMh063n9fm88+3cjMGWu4eSyCAD8ZdhFWxEvRWyFCYmNA22hkcjkTX+jB5Ck9kctLPhA2bzrBqy//SFJSLoLgrBKs06l57fX+/O+5TiW+cHPMRvYmXiXHXABAbmw+q6bv49rZJNQqgdbN1Ex6xosOre5YpIaOTeXURQ1HT8686xezKIq8OHERu7YfIuZEWKkvoXkr8nh5oZHXvxmEUiVHJZXTLKgCkR5/fXBjQn42OxMuIQgCfcvXRaf8a0vyPy48aiLnUcHhcPB8987Yy0cSOrgv4fYcIhzZRNiz0YoW7KZC9PsOUq9lK8pXqQaAXarEKtNgk2mwyjQ4pAocgpQbV66x+vt5FOr1SATwrFEF/+YNUckEtKIZN2MOnD6B1GKl6+ChxSwlDqkco8ofgzYUvVs4VsXfK2xuY7fZmD5pPBdPnsC9ZTM0tWuBKFJw8jT5h47QuH0HJn38ySNnXf3biwH27duX5cuXlypyvvnmGxwOB3Pnzr3vA7twcb98/MlwAKZ+9Ctvf5KNl6eM1HQLnp5q5i98/oEEDsAvG4/Rt6uWgFvZSVIBmvs62JoiId4ho/cAT/buzOfTT9Zx5vRNliybjFRaXDh079mAzl3rsnfPRRISMvHxcadDx1poNKUHJHspNfQqX5vzmUmczUxAF+lOUPdA3Ctb2DxDh08pu3XvoGHl+jQKCsy4uZX9pSkIAoJUwMdHWkLgFNqdFYyvermhqQBWm52qnsE0CSiPSvbXm64tdhuHU52pvNW9g10Cx8U/jkQiofPAJ1j13Rxy6tfFVLkS1/AHUcTNVoBi408E6+W0r9kKK4XIrQVFvaow5xSNk5uVScrGdbSK0qGuWhtbbh7GC5cRfo1B5uODaLNhz85BoVLRtHsfLJ6h6BU6zEovjGp/TEpvEP55q9fhHds4/9sRAp//H+qoykXLVeUiUVYox28/LKV1z97Ubd7iH5/bv8F9i5ypU6cyderUMtd/++23fPvtt3/JpFy4+D0ymZSZn43khSk92bThOHl5BUSWC6BX74ao1Yp7D/AHjEYT/r7F/eCRWpGKbiI3DAJiRS2eRwtY8HkAPYefYd3aowwYWNJ3L5NJH0hgSQUJdfzCKO/py9HUGKRSCYXucn5OkBKhEansIRKhEZHfei7qDc6+N3L5vX321WuEsfiHPSSl2AgOlJFsgmv5EqINAlYHXI2xonZI6R1VlwjPvy8I+GR6HAVWM+5yFXX9XJYJF/8OPYaP4OKJ41ycMx9NrZqooiphzzeQdOwEjrw8Osz6guQKzpe8xGFFbjUgtxYgsxuR2QqROKxsXD+XBIMKXacuIJWCp0Chd3VyLlwl92o8uUkZBFStg39wLWLTwmlcs+VD0QRz17q1aCpXKiZwbqOtU5v80D3sXrfGJXJcuHjYCAnx5rnnS49PeRCiqoSx+9AFRFEsZrJt7usgwSjhSqqDyOYedGuvpU1zLT8u+rVUkZOXZ2T5TwfYuOEohvxCKlYKYfSYdrRoWfWupmAPhZqO4dXIqpTDq1uukpKmgQAZcUYBuQQiNCJBKgc/bCqkbbvqKJX3trh069uAaXPX8swcA4NGelMo/i7dN9XCoR8zeG5Il79V4CQZcrickwJAs6AK//kmnC7+PeQKBa99+Q271qxi++qfSVm5GrlKReO27ek5YmSxflMOiRyz0guz8k7Mn81q5au1p9D16IqnutqdgX1AbFWbXPNucs9t4/KhM8jP3cCWb2DRp58weOw4ug//d8uopCUmoKhT+seXIAjII8JJTUz8h2f17+ESOS7+c4x6qh39ep9gwTI9Tw+705dGI4OsE3rS0u106O9JaiG0aqJk/rKUEmNE30ilT69ppKbk0q29htqVZOw7fJZe3Y8yekw7Zn0+6p4+7wHdm/D5++tY+XYS730aiN1bid4Kl7Lh64Mm4v00DBkcxdroU2hkCjQyBVKJBEQQETHZrRisZgqsZsx2GwPfaMOG9cdIXJRPgxpyItQOrv9mYO3yPOrWq8CkF3r85dfyNma7lQPJzro9VbyCCHEV/nPxLyOTy+kyeChdBg/F4XA8UMC0xWzGYbcjLaWlhX7fAXI3b8WzXWs827ZB6uGOLU9P3q7dLPl8FgqVio4DBv11J/KAuHl4kJtddjM0e04Obg8Q0/Ko4xI5Lv5ztGlbg9Fj2vHsS7vZttvIoN5uCIIzw2nNLwb6TQ6gfISCXWkQl2bH3b14kLrD4WDY4FlolUauHo4gMsxpaRFFke9/0vPcy7upVj2Mp5/pcNd5yGRSfl7zCgP6zmBYtxga1lOjC5ZzOknEoZXSc3hjwsv5kWs2knsrG6osBEGgWZ3KVPcOZvNPx1j6yhnsVpHQMC9eea0/Y8d1+VOuvftBFEUOJF/HaLPgoVDTKCDybzmOCxd/lgfNCFNpNLh7e2O6eRO3enWKljusVnJ37MK9eVO8e/csWi7z9MCnfx8cJhOrvptL2959/7V07Radu/HzvDnYeuaW6DtmSU3DePkqLV5/61+Z27+BS+S4+M8hCAKzPh9FrVoRfDJ9Deu2OOu5VK2k4NsZ/owc6s6aJEjJc7A1UcKo/sVdVbt/vcDVq6kc3BRaJHBuj/vMcE/2HCpk7uwtjBrdhoT4LOx2BxGRfqVmaUVE+nPo6Aw2bTzOls2nMBVaGN0pnCdHtiYk1Ae9pZACqxmjzYLRZiE728DVq8kIQM1qYYT6++IuV+KmUDndQ+XgydYtsM62YTbb0GqVf3sWxfmsJOLzs5EIAm1CKiNzualcPOJIJBI69O3PxqWLsTRriiLYWdnfdPU6jgIjHq1blrqfR+uWJB87weVTJ6nZuMk/OeUi2vfrz/bVP5M+ex5e/fugqlwRAOPFy+SsWUdgeAQtunb7V+b2b+ASOS7+kwiCwKin2tF/YFNaNHkN7Pl88aEv7Vs6s4H80guYucGGJlhLg/5Rxfbdt/ciEaFKmtQvPePpid5aVq5PpW7NF0lMdGZr+Pu789TTHZg8pRcKRfHbTqGQ0X9AU/oPKBn3o1Nq0Ck16PWFvPbGYlavOozVejsgWcKAgc2Y8ekI5KriwkIul5Uqqv5qEg05nEyPBaBpYAV81f9MmqwLF383PUeM4sT+vSR/9S3uLZujrhKF8ZrTJSvzKt0dK/N2Li+4VZvm/4vD4eDskcPs27SB7IwMvHx9ad2jF3WaNSc3O4tjv+6iQK8nIDSMhm3boVSrcdfpeOe77/n81ZeImzMPqVoNoojdZKJy7Tq8MP0TlOr/TgmVP/UUXLJkCXPnziUmJoYjR44QERHBF198Qbly5ejdu/dfPUcXLv423N3VbNr6FiOGfU7nJ+IJ8JMjkwkkpVio2DSIwW+0IMGey7XcNCrrbnUXFkWkUkq1kIiiyPylzlYLrRvbGDojGIVCYP1WA599uoFTJ2/y04rJpVYxLguz2cqAvjO4diWW6W94M7CXU0is2pjPe7OOEB2dwsbNb9xXgPJfSZbJwO7EK4hAJV3Anevj4r7xF04RKylHJn4czcZVK+chQuPmxrvzF/LznNns3bSR3B27itaZY2NRV65UYh9zTCwAASGh/+/jW0wmZr0yhbOHDqIKCUEaFED81csc3bUTn8BAstPTQSJBptVgzdOjdnfn6dfeoHmXrgSGhTH9pxVcPXOaq2dOgyBQo2EjKlSv8f+e16PGA4ucOXPm8Pbbb/PCCy/w0UcfFRX/0+l0fPHFFy6R4+KRIzzclz37P+TQwSvs33cJh8NB4yaVad+hJqczEzibmcChlBu4yZQEu+lo0rQy33y9ldPnTdStWdyac+iYia2/Gvl2hj/PjrgT1NyuhYbuHbR0G3qW1auOMHjI/advrl39G8ePRXPol1Ca1L/zBfbCs140aaCieY9o1q09+kBj/n8xWs3sjL+EzWEnSOtJs6AKj1xxsX+bcG0NwrUAe6mgvMix7EiX0HnI0Lp7MPqVqQyZMInMlBTkCgUzXphIztYdKMtFIvl98T+LhdxtO9HqdOzfsgm73UbFGjX/9LEXf/4p548dJeCZp1BXd2ZsiqJI+oIfybpwEa8eXfFo3hSJWo01M5Oczdv5+s2pqLVa6rVshSAIVKlbjyp16/0Vl+KR5b4rHt+mWrVqTJs2jT59+uDu7s7Zs2cpX748Fy5coE2bNmRmZv5dc/1/46p47OJBEUWRfcnXuJmXgUwipWtEDbzkGhrUmYKXewHblgfh53vnW6Ft3wTik21cP1KyazpA5yeSScnSUaNWJMlJWfj6evLEkBZ06FirRMHB2/Ts9iEqIZHtK4NLXd/piWQshLFx8xt/zUnfA5PNyta48+SYjXgq1PQoVwul9L/XE+ev5Hb14903ZfgS7BI6DzGXT5/io+efRervh0ebVsgDA7CkpJC3ay/W9HSUgYGIhYVYcnOp16o1k6bNeGD3UH5uLmO7dMC9Uwd0ne40QbXl6Ul490O8undB16FdsX1Eh4O0OfMJkMqYvnTFX3KuDxN/e8Xj28TExFC3bt0Sy5VKJQUFBQ86nAsXDzXRN1LZseA4xwwxCDoZv5W7yuQuXViyfDL9en1MhcbxDOylJchfyt4jZo6fNjF8gEepAgegVRMV73+WhM2cSe3qcq5ei2XwwKO0al2Fn1ZMKbWycWpKNr06lC0ialWVs+nXB+/C/mcw261si79AjtmIRqagU3h1l8D5C4nw9qKg7OxfFw8BVevW4515C1j+zVdcWrq8aLnMx5vA8c+hrlgB0eGg4Ow5zi5fxdwP3mXStBkPdIwrp09hs1pxa1i/2HLjufMgCHg0Lxm/J0gkuLdqTuz3P5CaEE9gmEsoAzxwzely5cpx5syZEsu3bdtWonmnCxePMj8s3E3jBq+yasWvVCpIwd2axd4DF+j/xmek5Odx8LfpjJ/Ui6NntSxdK6J2L0fVqmEkJtvKHDMxxYqfj5SL+8NYPjeIkztC2bYimNMnrzPlhYWl7uMf4MWla9Yyx7x0zYp/wN9fl6bQZmFr3AWyTQWoZXK6RNTAXVF2uwkXLh5XKtWsxdvffc/Xm7biFRCAumoVwt5+HXXFCoBTcLjVrYOuT0+O7NhOakLCA43vcDiTC4Q/JA/YjYVI1GokZViGbgdEF+j1D3pKjy0PLHJefPFFxo0bx8qVKxFFkWPHjvHRRx8xdepUXnnllb9jji5c/OMcOXyVF19YxHMjPYg7EcFPXwey5Q0Ppo33wD9Qwkvf/0SO3chrr/fj8LFPOHf5a9ZseI2n/9eJXw8YuXzNUmLMzCw7y9bmM3rwnQ7hgiDQsbWWaa97s2b1byQllfyMHzykJdv3FHDqnImbcVaOnTaRnOoUUqfOmdixt4AhQ1v9rdfDYDWzJfY82aYCVFI5XcJruPpSufjPYzYVkpOWVmZKuVuD+kjkck7u3/tA45avVg0EgYJzF4otl/v64DAYsGaUHhZijolFkEjwDQp6oOM9zjywyHn66aeZMWMGb775JkajkaFDhzJnzhy+/PJLBg8e/HfM0YWLf5y5326jaiUVX37oh0rlvE0UEhhSGSb012C12/h6506u5aYV22/AoKZUqOBP92Ep7Npv5HbI2/EzJjoOSkShEBg7SlfieMMHuGO3i+zbc6HEugGDmlG+gj8teiZSqUksTbslEF4vhtpt4+gwMJnadSIYMKik+fqvIrMwn19izpJnKUQjU9A9shZeKu3fdjwXLh4VzCYTAFK30u8HiUKOVKnEcmu7+8UvKJj6rVqj37YDa3pG0XJNzRpI1Gqyf9mKeMvacxu7oYD8vfup36oNnt5/X/uWR40Hismx2WwsW7aMzp07M2zYMIxGIwaDAX9//79rfi5c/Cvs3XOeV553KxFbI5fAkChY4C5yMyaNg8nXyTYZaBhQDqkgQaNRsnbj1KKUdH9fOQqFQGKyBZkUNvwYTHBgydtOfUtI2WyOEuv27b1IbEwGDesomfycjkrlFJw4a+KTb3IwmUSmTX8SlervqWYcnZfBweTr2EUHXkoNHcOr4yYvvdO6Cxf/NQLDwpDJ5RRevYYyrGTauDkxCWt+PmEVKj7w2M+88Tbv/W8MyZ/MQlO7FvLgIKwpqYgWC8YzZ0kzGHBv1QKZtxfm2Djy9+5HYbMz/IUX/4pTe2x4IJEjk8l47rnnuHz5MgAajQaNxmWydvH4YbeLKBSlBw/LJOCZaiTP4rTSXMpOIcdspHVwZTRyJWFhvuze9yGHD11l396L2Gx2oqoEM+65edyILT22ZuN2AwD1G1Yottxms/PS5IV0bqth3aIgZDLnnGpXVzKwpxsteiYzfdpqNvzy12ZW2RwOTqbHcjE7GYAwN29ah1RGIXXVD3Xh4jZadw+ade7C4b170dauhdzPt2idw2IlZ8Mv6Pz9qduidHfW3dD5+PDRD0vYtXY1uzeuJ/fyVXS+vvQcO46AsDA2/LiImIU/As4YoAat2zBs0osEhoX9Zef3OPDAT6xGjRpx+vRpIiIi/o75uHDxUNCgYQXWb41jytiSAb15ejt7DpiYOLky7UOrsi/5GikFeay7eYbmQRWI9PBFEASat6hC8xZVivbbse0MH35+ivYtNVStfMfykphsZepHOTRtVonq1Ys/oH7ddZ6kpFw2LAorEji38XCX8tpET54cd4XYmHQiy/01FtUcs5F9SVfJNjmzJWv6hFDfPxKJqw6OCxclGDZpMlfPnSVl1pdomzRCFRmBLScHw+HfEPP0vPTVbKSyP/dxoHF3p9fI0fQaObrEuiYdOpGakIDRkI9PQIDLRVUGD3zln3/+eaZMmUJiYiL169dHqy3ui6xVq/QW7w8TicZLVPOof+8NXfxn+d+znRk25Au+mp/DxGfuCB2rVWTsqxnY7AJPjmxDkIcXPZW1i0TB7sQrVPT0p3FguRKp1Z98OpJe3ROo3ymBgT211Kmu5Gq0heXrCtB5ezDnu+dKzCM2Jg2lUlKi6OBtmjZwZlnExv7/RY5DFLmUnczJ9DjsogOlVE7L4IqEu7seni5clIWntw8fLlrC+kUL2LNxPel79iGRSmnYrj39nnqaiMpR9x7kT+Ky2tybBxY5t4OLJ06cWLTsdiVGQRCKKiA/zBxNjSZXmk8zvzb/9lRcPKR07V6P8RO7MfntLSxZXUDvzmoKCkWWrysgNd3G/IXjCApyih8vpYae5WpzOiOe85mJ3MhLJ8GQQwP/CCrpAoosID6+7mzd+S6LFvzKsqV7Wbc1B19fd56f0JNn/tcRX7+SBa48dVrMZgcpaTaCAkrerrEJTveXxfL/u+9SC/I4knqTHLPTehPi5kXL4EpoZH9PrI8LF48T7jodT06ewrCJL2A0GFCq1cgVrnvnYeCBKx7HxcXddf3D7Ma6XfG48ddvMaTJOby1xeOJanuHE6797/X2+K+QkpLD2tW/kZmpJyTUh/79m+Dl7Vbm9qIosmvnOeZ/t4PTp6KRy6V07FSXZ57rRI0apRfaislM59eYK1hldpRKOb4qNxoERBKk8fxTbQ/ycguoFjWBCU+5Me0N32LrRFGk76gUtv5agN0BXbvVZfrMEYSF+ZYxWklyzEbOZMQTo3empCqlMhr4R1JZF+Bq0/APczhjL1kmI8eyI5EXNnNVPXbh4nf82YrHDyxyHmVui5x3pvzADt88NG53skQCK1yhRVA84Z5eLgvPY4bD4eC9d35m9tdbkMsFAv3kJKVakEqlvPn2IMZN6Pr/PkbMzTRmfLyO9et+w2yx41ZJS70+lWjWqip+fh74q92p4xdOiFb3wOJh+rS1zPh4HW9O9mbCGB2+PlJiE6x88FkWP6zI58sP/VAoBD7+MheHoGHnng8IDNTddcxcs5EzmQnE5GUgAgJQWRdIff8IVDJXBeN/i/iCCyQaM9ma7E9eYaSrxYMLF7f4x0TO4sWL77p+xIgRDzLcP8ptkbPqu21o1FrOXUkpWnfTaOBSjRQG1j5GJZ/iX8Iu0XP/GI1mLpyPRxRFqtcIL7VNwT/Nxx+tYeaM9bz/ig/jnvLE00NKeqaN6V/l8OX8XL78egwjRrX50+NfvZJEt87vo1XbGDfandrVlVy5bmH2UgN5XmpGT+1EQJAOAC+llspeAVT09LvvdggOh4OPP1rLV1/8gsPhwN1NIDfPgbubhE/f9WXMUGcj0KQUG/U6JtB3QFs++bTkfegQReLzs7iSk0pyQW7R8nB3b+r6heOjKtuq5eKf47bQOZLTmYJstUvkuHDBPyhyvLyKZ5tYrVaMRiMKhQKNRkN29sPbeOWPIuePrD91nQsB+ahCTWg0Tn+qv2cijXxiaBZUyeXKugsWi41pH67hx4W7yM1zFr7y8FDy5Ih2vPnOgL+tjsu9yMszUj1qAuNHa0u4ewCGP5/KgeNSzlz4sswGmfeiZ7cPyUyN5cCGELy9pEXLDQUO2g9IpkD0YtCLbUiw5OLlqyUoyAuZREq4uzcR7j6EunndV2p2ZoaecWPns2/vOb76yJchfd3RaorP+c2PM/lmkZHouLnI5TIcokiqMY84fRZx+VkYbc5KzAIQ5u5NHd9wfNUucfOwcThjr0vklEFGSjIZycm4eXgSVrGiy636H+Efa9CZk5NTYtn169cZO3YsL7/88oMO91DRp14lyl9J4eZJQ9GyZKWKpZW8Mdc+RiWfTJdVpxTsdgcjh3/J7l/PMekZTwb18kMiEVi9KZ/P523n0sV4fl77MjKZ9N6D/cXs2nmWggIL48eElLp+/BhPlq9L5PixGzRpWvmBx79xPYWDB67y05zAYgIHwE0r4YNXveg6JJn3Ri5DkAuoQlVUbBFM1wENsIsOYvSZSASBQI0ngRpP/DXu+KndkUtKXitfPw/8/DyoXV3F08M8S51P3doqjIKeEwmxFCqspBToMdvv1OZRSeVU9gogShfo6jvl4pEiIfoGi2fN5PzR34qWBZcvz5DnJ9Cwbbu77Oniv8xfUtmrUqVKTJ8+neHDh3PlypW/Ysh/jVpVgvhjEvz6U9dZmdGOJzrsJsu0hZ5h3f6VuT2sbN18im1bz7BhcRA9Ot6xCtSpoaRtCw2dBl1k3dqjDBzU7B+fm15fiCBAUEDpAissWH5rO+OfGv/aNafLs23z0hvmtWvhDG7/5C0fJjztxZ5DRt6cnsz8vZv4dPEzOHQCekshyQW5RS4kAXCTq3BXqPBUqFHJ5CilMpRSOcoQBYlnBC7ngCgRMDmg0A4Gm0COBTbnKvDv6Mt5Q1KRqFRK5YS7exPp7kOQVodM8ucsVi5c/Fsk3ozm7adG4tBq8R32BMqICGzZOeTuO8CslyYz7oOPaNmtx789TRcPIX9Z+VKZTEZycvJfNdxDxW0Lz8pd7ShfO4YC8zqX++p3LFm8l0b11MUEzm3at9TQprmWpYv3/Csip0KFAEQRjpww0axhSSFy4Gjhre0C/9T4breC11PT7QT4lbydUtOdjTTDQp3tHTq31dKsoZp6HRLZMvso8xc+T+4tkZNu1JNm1GO0Wci3msi3morFzgD4tfDFdlXL5/ts1K1RvL2C2SJy4qyFKpVDidD5EqjxIFDjiZ/a3VXIz8UjzZIvPsOh1RA4eXxRB25FgD/qKpXJXLKchZ9Mp3G7DihULuuki+I8sMjZuHFjsf+LokhKSgrffPMNzZs3/8sm9rDhtPAE8e0+BUsr+RW5r37Pf9WVlRCfTodmZfczalRXwcpN6f/gjO7QomVVypf3483p2WxdFoRSeceKkZtn56PPc2jRMooKFf+cyGncpDJ+fm7M/TGXOZ8ElFg/98c8tBqBLm3vlCtwd5MwdpQ7r087xpfGMXhpNXgpNVT3DgbAaLOgNxeSZykk32LCbLdhdlgx220ERHpQu1w4G1ZEI+2qoWtLDb4eAlcvmVg0J4fUizZ+3DyRKuEl++i4cPEokp2extnDh/B9YkCRwLmNIAjounUi8eQpju3ZTYuuLiu7i+I8sMjp06dPsf8LgoCfnx/t2rVj1qxZf9W8Hlqer16jyH2lCr3TWTbYJ4X4vP+mhcfL253oOH2Z62/GWfH+l0qOSyQSvvzmGQb0nUHjbklMfNqDqAoKzlww8+V8PZk5EuYvGfmnx1cq5Uya3Is3X19GcKCMSc/o8HCXYjQ6+G5xHjO+yeG1CV54uBd3l1WtpMBqdZCba0SrLf71qZEp0MgUBGpLj7vp+GY1Xn91KYve2sM8qwO5XMBqFYmKCmTdqrFUqeoSOC4eH7LS0kAUUUaUHoAt9/VF7uZGRsrj6Ulw8f/jgUWOw1GyS/J/jdvuKy7fWXbQ7sHSSn5Q/ySJnpmEau5k8jzuoqf/wGa8/OIPXLpqplpUcYtOdKyFDdsKeO+D3v/S7JzWnM3b3uLjD1fzzIsXAJBKBbp1r8+bbw+kclTw/2v858d3ITe3gA9mbWTm7DzKRSiIjTdjKHDw7AhP3n25pMA7d8mMUinF+y7FCMtCoZDx6eejeGVqX3btOIux0ELVqqE0ax7lyjRx8djh5ukU+9bMLBTBQSXW2w0F2AoLcfcs/aPAxX+bB45AfP/99zEaSwZpFhYW8v777/8lk3oUqFUlqNi/56vXoNqFIJaerM/qmzq+uGDjiws29iRcYVPCFuILLvzbU/7beGJwcypVCqTLkBTW/JKPzSZis4ls2Gag48AUwsJ8GTq81b86x3Ll/AkK9kapdFpU7HaRs2ducuDAJf6/9TAFQeCNtwZw7tIXvPTqAJq0bM6oMZ0RBAgNkiGVFhce2Tl2vv0hn379m6JW//nUen9/T4YOb8XTz3SgeYsqLoHj4rEkKDyCyKrVyN+3H7GUj2z9/gNIJBIatevwL8zOxcPOA9fJkUqlpKSk4O9fvBlgVlYW/v7+D3XvqnvVyfkrOHclhZvG36egm3FvfonWYUmPdTXl1NRc/jdmNgf2X0GlkiAIUFjooEnTisxfOJ7Q0H+vyWNebgFdO71HeloGLz7rSZd2WnLy7CxcpmfZ2nymvNyLN98e+Jcf9713VvLFZ78wdpQnz47wJNBPyu5DhXwwK4f0bBm79rz/l3UOd/F4cThjL8fyyqHPrO2qkwOcPXyI6ZPGo6lRDV3XziiCg7Dr88k7cJC8nbvpM3oMg8dN+Len6eJv5B+rk3O7EecfOXv2LN7e3g863GNHqSnou5UsrRHIwNrHyDJtKbbucUlHDwzUsXHzG5w/H8ehA1cQRZGmzaKoU7fcvz01Zn+zjfi4dI5uDaVq5TuWk7bNNVSrrODN6RsZMrTlnw4+Lou33x2El5cbX32xiTk/xBctb9EyikXLRrsEjosycbq7Y9haUMDm7GS6ezf5t6f0r1K7WXMmz/iU+R9/SNKMWUhVSuxmCzK5nL5PPc3A557/t6fo4iHlvi05Xl5eCIJQpKJ+L3TsdjsGg4HnnnuO2bNn/22TBZg9ezYzZ84kNTWV2rVr8/XXX9OoUaP72vefsOSUxe1qyr+nfO0YWgTF/yeDlf8pRFGkWuXx9OksMHt6SVFhMjkIrx/H8JFdePf9J/6WOZjNVg4fukKBwUxUlRAqVS4ZV+DCxR+53d7hWF45bmb6ufpYATarlVMH9pOelIibpycNWrctitlx8Xjzt1tyvvjiC0RR/D/27js+ruJa4Phv7vZV771YlnvvuOGCDaYbiAMBEtojQEhCKCGQ0BN6eQQCCckDAoHQQgvYFDeMe7fcq3rvWmlXW++8P9aSJUuyZWNbLvP9fPSxde/du6O1rD2aOXMON954I48++igRbb6xzGYzmZmZjB8//shGfYQ++OAD7rrrLv72t78xbtw4XnzxRc477zx27drVYfnsZDN7ZB9mH3RMbUc//jweH+XlDsaN7Li9G8Bq1Rg2yExB/vHb4m6xmJg2fchxu79yekoPGUx6CMB3ADiqf1iC/OnAaDIxdvo5PT0M5RTS7SDnuuuC22x79erFhAkTMJlOfKfiF154gZtvvpkbbrgBgL/97W/MnTuXN954g/vuu++Ej+eHOng7ett+WWfqdvRjzWIxYbOZKCj2dXpeSklBUYDJfVT/JuXklGqPZU1DT49CUU5NR5yTM2XKlNa/u91uvF5vu/NHMo10JLxeL+vXr+f+++9vPaZpGjNmzGDlypWdPsbj8eDxeFo/dzi6ruXSUw7VL+tM3I5+rAkhuPyKs3j936v5zc+jCAttv6Hwy/lO9uV7+POcMzvnQVEU5XR0xEGOy+Xi3nvv5cMPP6SmpqbD+eO1u6q6uppAIEBCQvtlh4SEhC77ZT355JM8+uijx2U8x1JX/bLeYRR9M2sJsQbfmAeF7CLHUsiw6HQV7ByBO+68mP9+vobzry7j+UdiGDvCgscjee+zRu58sIZp0wYxYWL/nh6moiiKcowdcZDz29/+lsWLF/PXv/6Vn/70p7zyyiuUlJTw2muv8dRTTx2PMR61+++/n7vuuqv1c4fDQVpaWg+OqPuCMzyhLNtzIJDMI52widtxpu2hOEJ1RO+uPn2T+OTz+7j5xleYcGER0VFGXM06brfOJZeO5i9//fkPrjFTU93IN19vpKnJTXafJKZOG4SmGmEqiqL0qCMOcr744gvefvttpk6dyg033MDkyZPJzs4mIyODd999l2uuueZ4jJPY2FgMBgMVFRXtjldUVJCY2PnWX4vFgsXSdU+lk11Lv6y2zoTt6MfD6DHZrNv0PIsWbmHL5gKsVhPnzRrxg7eN+/0BHn3oA/7x92/xegOYzRoej05mZiwvv/pzJk0ecIy+AuVMNjZCbSdXlKNxxEFObW0tWVlZQDD/pra2FoBJkyZx2223HdvRtWE2mxk1ahQLFy5s7Z+l6zoLFy7kl7/85XF73pPN7JF9YAN8UDUde+iBAC6x907VHf0wDAaNmecOY+a5w47ZPe/77b/455uLeOiuKG69LpKYaI01Gz3c/3gNcy5/hnnfPMiIkVnH7PmUM0/w//NWzk+uZE1DCHOrV6nt5IrSTUcc5GRlZZGXl0d6ejr9+/fnww8/ZOzYsXzxxRdERkYehyEecNddd3HdddcxevRoxo4dy4svvojT6WzdbXWmaO2d1abszrLifu22o6tk5eOvIL+SN15fyPOPxHLHz6Naj48baWXeu0mMPb+Ep574hA/+c08PjlI5HRy8nTy3GkAFOYpyOEcc5Nxwww3k5OQwZcoU7rvvPi6++GL+8pe/4PP5eOGFF47HGFtdeeWVVFVV8dBDD1FeXs7w4cP5+uuvOyQjnwmG9m+/jDWUpNbt6P3HFAL+1nPTkuepZOXj4D8frSI0xMDN13YsRma1atx+Qzi335dDXW0TUUfRiFNRDpZqj6VSRu0PchRFOZwjDnLuvPPO1r/PmDGDnTt3sn79erKzsxk69OA9QsfeL3/5yzNqeepItG5H/zKs9VipxcO8iV6VrHwc1NY0kpxkwm7vPMG4b28TUkJdnVMFOYqiKD3giIOcttxuNxkZGWRkZByr8Sg/0JH2zlIzPEcvNQ8JFYwAAIK3SURBVC2G/EIvNbUBYqINHc6vz/FgNhuIiz8+taMURVGUQzviPa6BQIA//vGPpKSkEBoaSm5uLgAPPvggr7/++jEfoPLDzR7Zh4ty+zD/P7P44K2zWz/m7Y1lRdkeVlR919NDPCXN+fEEpBQ89XJth3PVNQFeft3B7MvGERZm64HRKYqiKEc8k/P444/z1ltv8cwzz3DzzTe3Hh88eDAvvvgiN9100zEdoHJsHG47ektCYwu1rHV4sXHhPPDQHB564H1Kyv384vpIUpKMfLfCxVMvNeDxmfn9A1f09DAVRVHOWEcc5Lz99tv8/e9/55xzzuHWW29tPT5s2LAuKw8rJ6e229Gtqe7W48kxZap3Vjf96o4LiYoK5ZmnP+GDz4oBEALOmTGEp5+9jozMk7txrKIoyunsiIOckpISsrOzOxzXdR2fr/MmiMrJq3U7+o4Dx5YFwtV29CNw7c+m8JNrJrNpYx5NTW6yeieQlhZ7+AcqylGIFxuAsayuLVS1chTlMI44yBk4cCBLly7tkGz8n//8hxEjRhyzgSknzuG2o7f0zgIYG622o3fGYNAYNbp3Tw9DOc21FAacmfIda2ozWV2LCnQU5RCOOMh56KGHuO666ygpKUHXdT755BN27drF22+/zZdffnk8xqj0gJYZnmXzze2OV09sUtvRFaUHtfyCEWOt5KvSFcytLVUVkBWlC0cc5Fx66aV88cUXPPbYY4SEhPDQQw8xcuRIvvjiC2bOnHk8xqj0kCPtnaVmeBTlxGiZ0RmVlMq++iicHTf4KYrCEQQ5ubm59OrVCyEEkydPZv78+cdzXMpJqqU7+gdVoZ30zlIzPIqiKMrJo9tBTp8+fSgrKyM+Prhb5Morr+Sll146I1sqnOlaZng27yxrPZa7byjvDI7rdDt6W6n2WDXboyiKopwQ3Q5ypJTtPp83bx5PPvnkMR+Qcupom7A8FNptR7fbzR2uj48oZmyMmu1RFEVRTowf1NZBUdpq7Z21vqmLKyJ4Z3B0az7PxWkXnNDxKcrpJl5sYB/n9fQwFOWk1e0gRwiBEKLDMUVpq7PeWW215PNkDcvD6fm03TlVfFBRuq8l+biv+1PW2NR2ckXpzBEtV11//fVYLMFkU7fbza233kpISEi76z755JNjO0LltDK0fxLshGVLzHxJv9bj9X1qW4sPqqUsReketZ1cUQ6t20HOdddd1+7za6+99pgPRjkzdLo1fX/xwSumLqDGPY8Yq73Lx6sgSFEOUNvJFaVr3Q5y3nzzzeM5DuUM15LPs/izC6jvU4vZ0vm35qX9V6h8HkVRFKVbVOKxctLobGv6wT4otpI1LA8ItpfoisrtUU5nhc6t7T4vdlWT7wijoNZILLYeGpWinHxUkKOcdA7updXO/nyeef4Ai+3+Ti8ZFrGX6JBCNdujnJZWVH1HYUMda2p6tTkaSX6ZieTyECppYGNqCSP6pvTYGBXlZKGCHOWU0jLb89kiS5fXfJCQ3rp7S+3YUk4nXxTNo9bp4qOcsQzc2v6XgWwgy24m19XE1uoCiotruXj6kJ4ZqKKcJFSQo5ySZo/s0/U54NUlZt7pEwej1pNjKezyWjXbo5xMVlR9R43b1ek5p8fDsrJ0cnN6cUljEkNHdj7jORTYvLOM3JImvli0hdTU6Hbn1QyPciZRQY5yWvrFoMF8tmEPb1dN6fIaNdujnExaZmk+WDC9y2ui6808MOjw36vBUg3BQKe2pLz1eKnFA6hARzlzqCBHOW3NHtmH2Yc43zLb01KfpztU7y3lSKyo+q5b1xU21LWfpekqL+0IYpPOCnNu3lnGsk3BpazU1GgV7CinPRXkKGesltmeQ/XbOtjM9O9UwULlsAqdW1lRtoc1Nb2obEg97PX1dS4i90R3a5bmh2gpxplb0kQxwYI6KtBRTmcqyFHOaIfvt9XeBwnTuXLGImrch97C3paa+Tk9HLxtuyvFrmoKG+p4Z/0oIvdEk+zpOkm+RTIRh8wzO5ZaZng+27CHrdUFgAp0lNOXCnKUM97h+m21lbWzjA8WTCdrWB5rarXDXj8oZBc5FrWd/VTXsm17m7PfYa91uiPZnZ/FwK1JJyxwORqzR/ZRy1fKaU8FOYpyBFq2sL+6xEx9N65fH5moEpxPcW23bUfuiT78A4CLDDFd7n46majlK+V0p4IcRTkKvziC3InubmfvyrDodBUcHYVC51Zyao/89W6rw7btQSd/4HKkOlu+aksFPcqpTAU5inKctd3Obg89fH5GW3pkA5f2X6GSnY9Qy/LSh1vHodVHHPV9XE2ebm/bPtW1LF/lri5vd/wLtZSlnMJUkKMoJ0BLgjONR/a43H1mPig+0J29u8nOZ7Kc2sI2VYHjyLKH/qD7nY6zN105OD+tpaigSlBWTlUqyFGUE+SQPbm6egy0dmd3DXaQmVR57Ad2mvF6Ew5bFVjpnpagp22CsmoVoZxKVJCjKCeQlJLtu7ewfc8WhIBhA0bRJ6v/IR/T2q9r/R4g7sQM9BRmBB44iXc1nYraJii3tIpQszrKqUAFOYpygpRVlPDUqw+wN28v4WFGdB3e/OBvDOo3iHtv+yOx0YcOYE7m7cjK6a9tq4iWBqAtVNCjnKwOX+hDUZQfrLHJwe+f/iWCYr56L5manZnU7srk038mUd+whwefvQO3x93Tw1SUQxraP1j7Z5IhhsF15taP2tXlfLFoCxt3l/T0EBWlHTWToygnwFeLP8fRWMvab9JJTTa1Hr/kvFCyM00MnVbIkpXzOW/qxT04SkXpng75ZftneFStHeVko2ZyFOUE+H71N1xxUUi7AKfFwH4Wzp0Swver5vfAyBTlh2uZ4bGXeNm6qYAvFm3p6SEpCqCCHEU5IZqcjWSmdQxwWmSmG2l01Z+4ASnKcdCylGUv8arlK+WkoJarFOUESIxLYeX63E7PSSlZuc5LQuzhu1UrysmubYJyMbUqQVnpUafETE5+fj433XQTvXr1wmaz0bt3bx5++GG8Xm9PD01RuuXcKZewaKmThUtdHc7958smNm9v5rwpl/TAyBTl2GtZvmqbnDy4zty6lKVmeJQT5ZSYydm5cye6rvPaa6+RnZ3N1q1bufnmm3E6nTz33HM9PTzlJKLrOhu3rmXNphV4vB6y0rOZPvE8QkPCenRcZ4+bwXcrvuWSn67nlzdFcMVFofj9kvc/a+Rvbzk4e9w0Rg0d16NjVJRjrWOCsmoGqpxYQkope3oQR+PZZ5/lr3/9K7m5nS8BdMbhcBAREcFHr32N3RZyHEen9ITa+moefu5ecgv3EGIIxyRNOGQdJqOJu299gIljpvbo+LxeD+9++ibfLPmMxiYnAFER4Vxwzo+48uKfYjCcEr9zKMoP9tmGPZRaPETGhqkKykq3uJqauHHKRBoaGggPD+/2407Zn6oNDQ1ER0cf8hqPx4PH42n93OFwHO9hKT0koAd48Jl7qCgtYxRTiAzEIoTAI93s9ufw1CuP8OwDr9A/e1CPjdFstnDDlbdy9WU3UFiSjxCQkdILk8ncY2NSlJ7Q2gy0TQXlttQMj3KsnBI5OQfbu3cvL7/8Mrfccsshr3vyySeJiIho/UhLSztBI1ROtHU5q8gv3scgfSxRIg4hBAAWYWWQHEMIoXz05bs9Osai0gKWrVnM5h0bSEtOJzuznwpwlDPW0P5JZNlDsZd4sVbprR/FxbUqZ0c5Znp0Jue+++7j6aefPuQ1O3bsoH//A719SkpKmDVrFnPmzOHmm28+5GPvv/9+7rrrrtbPHQ6HCnROUyvXLyVMiyRSxnY4pwmNRD2DNRuXE9ADGDTDCR1bSVkhL73+DFt357Qes1nsXH7BVVx16XVo2in5u0anyipK+OybD/l+5UJcbhfJCSlccM5sZk29WAV0SgdtG4C2GIyZZfvbRqjdWMoP1aNBzt133831119/yGuysrJa/15aWsq0adOYMGECf//73w97f4vFgsVi+aHDVE4BHq8bE12/iZqxoEudgN+PwXzigpzK6nLueewXBJolgxlHDAl48VDiyeXdT9+gobGe23525wkbz/G0c+82Hnj6TqQPEvQ0ErHRUFbDa//6M8vWfMdjv30Oi1n9f1Q6UgnKyvHSo0FOXFwccXHd66pcUlLCtGnTGDVqFG+++eZp9duv8sNlpGaxYvUSfNKLSXQMdmqpICEmCfMJfpP94It/4W32MlafgVkEn9uEmb4MwyrtfLngEy6ZeQUpSekndFzHmt/v54mXHsDqC2WYPgGjaCl82Ic6qti0eznvf/4W1835eY+OUzk1HNwMFFSgoxydUyJSKCkpYerUqaSnp/Pcc89RVVVFeXk55eXlPT005SRx7tkXIIVkL1s4eMNgnayiQhRz4czLTuiY/H4/i5Z9Q5Ke2RrgtJVCFhbNyoJlX5/QcR0Pqzcup6a+mr76sDYBTlCUiCNZZjJv4ef4/L4eGqFyqmnbDLRtfZ22H4pyOKfE7qr58+ezd+9e9u7dS2pq+6qwp+gOeOUYi46M5fbr7+alN57BqTlI1DMwYaaGcspFEYP6DeOSmVec0DG5mp14fR7CiOz0vEEYsBNKbX31CR3X8bA7dwd2QyhhemSn5+NIpsi1l8qqslN+1ko5sYKzOsHlq9qSA7/YllqCO2fVDI9yKKdEkHP99dcfNndHOX2UV5WyYt33OF1NpCSmMXHM1G7lcpw39WLiYxP58It32LxjAwAxkbFcO+NGLj//qhOe+Gq3hWAymmnyNxBPxx/EugzgpJGIsKgTOq7jwWg0ossAUsrWnW1tBfDvv67r/l2K0pWWBOW2Nu8sY9mmYIKyqrWjdOWUCHKUM4PP7+OVN59jwdKvMAgDJs1Cc8DJ395+kTv+53fdKuY3YvAYRgweg9vTjM/nI8Qe2mP5W0ajkWkTZvL9ssWk6dkdcoVKyMcrPSxe/g3TJ51HZmpWF3c6+Y0eehbvf/4WNZQTS1KH8+WikOS4NOJjE3tgdMrpqO0Mz8Fdz9WuLKXFKZGTo5wZXn7jGRYu+4a+DGOyvIiJ+vlMYBah7kie+svD5Gxf3+17WS02wkLDezxB/cpLf4bRamCDtoRKWUJA+mmWTvbKrexmE3Ek42/U+f2Tv6Ghsb5Hx/pD9M8eRP/eg9ilbcQhDzRk1KVOvtxFhSzmRxdf3eksj6IcrZZaO237Y9lLvK05PIpyyrZ1OBqqrcPJq7SimJt/+xP6M4JU0bvdOSkl68V3JGen8OyDr/TQCI9eYUkeDz5zD9V1la3HDBhII5veDMaLmxXia34652bmXHRND470h6mtr+GBp++ioCSXSBGDWVpxaHW4dRdzLrqG6+bcooIc5YTYvLOMXFcTrhSzqqZ8mjjj2joop5dlaxZj0swk6ZkdzgkhSJG92bZnDbX11URHdiz4dzJLT+lFiD0UWaeRSDoGDEQT37oLyYKNWJnMstWLT+kgJzoyhpf++DorNyxl6epFuFxOxiaNY9bUi+mVnt3Tw1POIG23oKtk5TObCnKUk0KTqwmLsGIQnRfqs2IDwOlydhnk6FLi1cGjS3wSvLrEKyV+HfwSAlISkBAg+HcJSAltpzIFIAQYEGgCNAFGAQYhMAowCYFZC/5p0cCiBY8fbobC7W4mlHCSROc7i8xYaHY3H+ZVOjlIKfF43ZhNlg7LgUajkcljpzF57LQeGp2iBB0uWVnl7ZwZVJCjnBSS41NwBhpx48Iq7B3ON1CDyWjGFh5DlTeAMyBpDkiaA+AKSNy6xKtL9B4Yu0EEgx27QWDd/6fdIHDWV1JbUUio2UJ6aia763Yh9Y67j6SU1GvVDEkb1gOj777a+ho+nvtv5n8/D2dzExazlXMmzWLORdeohGLllNA2WVlVUz4zqCBHOSmcfdY5/P3dl9nn3cYAORpptRAIseEPteG2adSE+Bnc5zJWuYzg6rqgnADMWnC2xSwEJg2MQmASwT8N+2dnNAEaonXmBoKzOhCc2dGl3D/jE5z18cvgbJCvzSyRR5dU1lazY+9WSsuL0aVOdGQs6SmZlJQVUV5VGryf34vRFIu3t6TYGSDRFYnB2YzmDwBQSh6Nej0XTJ99vF7eHyzYnuI2Gh2NJOkZ9CISp9fBou++YenqRTzzwCukp2T29DAV5bBaZng+27BHVVM+A6ggR+lxPl3SpFmZ8z+P8umSr9keFka4IR4DJtw4cYg6rJZYhg4ajUGAvc1sid0gsBoENi04i2LWQDtBya1LVi3go9eewG6OIc6UhWYJpcGWx8rtyzFZI4m39sVmiSZgDOAw1hGID6McaBJWQmQ8eNw0NuZT0+hkxuCrGTpw5AkZ99H4yxvP0exwM1afgVXYWo+n6X3Y2Pw9L7z2OC8+9o8eHKGiHJnZI/u0W75qSy1lnT5UkKOccF5dUuPVqfHp1Pp0Gv3B/JiwrJGcY49j8/YNVNQXEnDWQ7ODwZm9+fG555MWE4VNO3z+y1GPy+th/ZY1OBrriYtJYNigUV12LK+pq+aF1x4nIZDCgOZRaG4NGgHCKZX5bOdb0mkgXksnYLMQY7NSZGugMsSBHp9ORcABFgiPSWZK9rlkZ/Zlfo2XSJNGtEkj1qQRaRInLGA7lPKqUtZvXc1ARrcLcADMwkKWPoic/BXszd9Fdma/Hhqlohy5luUr6g4cy3WpflmnExXkKMedlBKHX1Lu1an26tT7dA6uWxBiEESZNAb36cVVA3rjrCvH7XYRF5NAWEjYcR/jlws+4Z8fvEazx9V6LCI0kl/ddC/jR03ucP03S74AHfoxHE20T75NFpmUyQKK2EuiTMPocmN0ucmURoq1VZwzqB/Tz76IJl0QsITR4JfU+YJJ0tX7X6PdBBOeY8waCWYD8WYNq6FnAp78olwAYkjo9HwMwXycvMK9KshRTjkHd0AfSscE5bZU4HNqUUGOclxIKan1Sco9Aco9Os16+7AmzCCIMQdnLaJNHd/AI+KTT9hYP/v6A/7x77+QTC+G0xc7oTRSR27Tdv7059/z0J1PMW7ExHaP2bx9AxEytkMzyhZxJLOH9sXIjMJEiAijpraKhKj2IYOUkqaADM5ueSXVPh2vLqnw6FR4gunUUSaNRItGksVAWfFevlzwCTt2b8WgaYwafhYXTp9NQlzHasM/VEtLDR8+LNg6nPfhBcBkOrEd3hXleOmqX5YrJVi1XAU6pw4V5CjHjJSSBr+kxB2gzKPjbhPYGATE7Z+ViDVr2HpoVuJgbo+bNz94jRSyGCAO5MSEE80wOZENfM8zrzzKK0/8k8Q2gVdZRQmBDvNRBwQIoNH+awzIAM3SSUR4ZIfrhRCEGQVhRo1M24HXssobDHLq/Tp1vuDH55u3sHr5PERNBRHVVjw+N/8t/Q+ffvUBQweMYOiAEcyYfAExUcemntCAPkOwW0ModefRl447wErJw2gwMXLwmGPyfIpyMuhsC3pLsrLql3XqUEGO8oN59WBgU+QO4PAfeOM3CUiwGEiyaMSaNQwnQX7Jwb5bOR9/wEcGfTucE0KQKfux0buMm+65kgunz+aWn95BIBCgtr4GHZ1m6cQm2lfPllJSRkHrMk6LUvLw6h6mTTj3sOMSQhBpEkSaNPqEgDsgqfAGWJdfwLqclUSHZhMdOhGRAeY6B73KK9lV+y0529azZfsm3vnkDW648lYuP/+qH/YCAVaLlcvOv5J/f/omNhlCClloQtv/dRaSJ3Zy4fTZhIdF/ODnUpSTWUuysuqXdepQQY5y1Bp8OvnNAUo9AQL7YxuDgESLgeSTOLBpa9vuzQgEdhHa6Xk7wXygFHoxb9HnmMxmfnThNehSx4SZzaximBzfWtsnIP3sYhMuGkklC49spgkH1ZRRzD7Om3IxqUmdFwQ8FKtBkGEz8u78Nwls2UFa1Gy8CS78YSF4oyMgOoI0dyrO8v+SUCHA5+b1914hOjKWqeNnHP0LtN9Vl15HXUMt8xZ9RoG2CzthNGtOmgNOzh57Djf95PYf/ByKcipoqaaskpVPDSrIUY6IlJJKr84+V4Ba34HSe+FGQbrVQLLVgFnr+cBGSsmu3O2UVZQQYg9l+MBRmM0dc0bsVjsSSZN0ECo69kNppAGANPpgwc4X8z/hsllXYjZZiPOlUEUpy/mKKBmHASO1VKITrH+zmxx2k9N6r6iIGCaNnfKDvq7N2zcS50nBVlGLraIWv82CJyEGT3w0WG1EZ0zAne6jV2U4rhLJ+5/9kylnnfODd6Rpmsbt19/NRTMuZ8HSeVTXVREVHs20iefRp5dKNlbOLIdLVm7RkrSsAp+eo4IcpVuklJR7dPa4/K1LUhqQZDWQYTMQZRQnTfPF7Xu28Jc3nqWgJK/1WKg9jJ/Mvp5Lz5vTbpzTJ5zHlws+JY/tDJbj2p3TpU4BOwknmlARjllayAtsZ8OWtUybcC5Lli5gtD6VWiqoppwAAdLIxoObMgqwixDSZR/CiaYZJ0WOvTz83L38/td/ZPyos4/qa5NIBAKXbKKUPJpcDgx5BmLzU4mMHYxMbkSEhuFJjCU64TKKqpezt7yUPknH5odsRmovNWujKJ3odDt6Sbnql9XDVJCjHFa1V2dnk596f3Dmxiggw2agl83YY9uau7Inbxe/f/I3hATCGMEkIonFjYtC117+8f6ruHw+Ljn/J609rGLT+5PYazDVtZVsZjcpMhObtOMM1FIY2Emj3swI/1lAsCaMAQOuZidXXXodqzYsI8e5nAy9PwMYiRcPJeRSRj52EcoYOR2TCO7GCCeKeJnCFrGKl19/ltHDxmMydr4z61AG9x/Oxo3ryJXbMWIikliacbFNrsJetRV3lYv0sHGY0qLQokyYYjNY3SRwOXz0DTGeNAnfinI6OtLt6G2pIOj4UEGO0iWHX2dHk58q74HgJstuJNN2cixJtRWQEmdA8vq8jwlNGkZf01lgtdJkNqGbjCQYJ2HUqviqvA5LWSMWy4Glq3N+9jDffPcFPr+fvNYdU3FYSKMvCegihFp/AI/PgcU7DV/yQKqt0dx5/9/4+JP/Y9uWFeiedYAkxBYKzZAh+7UGOC2EEGTJgaxqms+CpV8xeew0Qo+wBlC/3gNYtWEp6fShN4MwiOB/4UZZzyaWI5GkNEZh25FHla0QmRVKiD2UIneAEneATLuBPnYjppPs309RTlddbUdvS832HD8qyFE68OuS3S4/+a4AOsFlqQybgewQI5aT4M3Ro0vqfToNfonDr+PwS1wBSbPbRaExirj0QXhFZIfHRcgYGvQaikv2MSh7ED6fh4KivXg8bs4aNIyauhq27d6MhpEkQ2+shjAwBCse6waNWqOD8MgMrAlZ5LoCYI5m0lX3MvyiRhob6wg1CmwEeOtfzxPamIF0CUSbbfQ+6aWUfASCv7z5LH9581mGDRjFTy67jiH9R3Tra1+7cSWRIpY+cmi7pbUwEckQeRbrWIyTBnQZoMSdw7SYmUyND2WX00+1VyfXFaDUrTMw1EiSRTtplhgV5XTW2Xb0tlR39ONHBTlKOxWeAFsb/a3F+xItGgNDTdgNArfHzfaC3ei6Tq/0bELsne9I6oyu6zQ5GzEaTdhtHbuMH0pzYH8l4P11YlyBzuvT+D3NBJpqsDWHYfN40LxeNK8PzetH+PwIv589ci7RsSYqy3L48It38Pt9GDUTPt1LWEg4V8++nvc+e4v85m9J1XsTRhQuo4cySwluk4/bf/4gvcLMNAckLl3i8ksMYWGEhgZnZBoc9dh6jcRBOn5CMDqbMTY0IerryHEswhNoJJ2+RBGLBzf5u/L4/ZO/4Xe3P8KksdMO/Tq4XWzfu4UBjOo0OIkgGhuh7GUrLprQdZ0de7ZRWbiTcVkDqPLqbGvy0+QL8Mn2feRuXUn15kXYNcH40ZOZff5VRPzAbeBuTzNLVi5g9cbleH1esjP7MmvaJSTGnbjijseTq9nFlws+4ZvFX1BdV0loSDjnTDqPS8/78TGrS6SceQ7ujn5w8rIKeo6ekFJ2XdHsNONwOIiIiOCj177Gbgs5/APOIH5dsr3JT6E7uDPIbhAMCjWSYDHg9/t599M3+HL+J7jcTgDMJgvnTJrFTT/5BTZr10GLz+/jv998xBfffkJVXQUAA7OHMOfiaxh7UBXhFlJK6vzBaskVHh1nQIKUSCkRWrDEXqhREGHUiNhfQC/cKGhy1PDTX1/GAEaRInp1uK9Xulkm5jFq6DjW5qwkk37BXVPCilM62Md2qijhVzfdy+btG1i2ZjH+gB+AkYPHcs3lN9I/e1CH++pS0hyQOAISh0/nf//1F3yBUBJNfVqDkRpZTqOsI90RQ2itD3NtAwaPFyklW8VqHOYa/vXyZ4d8LRubHFz1iwsZwlkkiNROr1kl5+PEQSq9iSCaIm0fbkMTzz74Kr0z++L2enjk7dco9GmYDDb8fjfOfavxVeVhEAauuPgafnr5TWia1un9D6WwJJ8Hnr6TmvpqokU8BmmkQavBJ73cft3dnD/90iO+58mkscnB7x7/JcWlhcTLVMKJwkUTFVoRthA7zzzwl6MqD6AoLTbvLGv3ea6riVKLh8jYsDO++KCrqYkbp0ykoaGB8PCOO2G7ooIcBYdfZ0ODj6aARAC97Ab6hRgxCIGu6zz5l4dYtX4paTKbBNLQ0KiklCJtN1m9+vLU/X/udHu23+/nsRfuY+O2tSTINGJJwo+Pcq2QOr2KW669g0vO/RHQvlpyqUfHs38myeVysmPPZvbuWIursgCb3830UeO4YtaPiQiL7PCcDz5zN3u272K0Pq01X6XFbplDqSEfkKQGsskWg9udl1KyUSwjPCWUvzz+Js1uF7X1NYSFhBERHtXt13P52iU88fIDJFn6kxY2CiJj2RVRQKQ1nWgR33qdscmFuaoOvaqEVd4v+NWNv+W8qRd3eV8pJTf8Zg7GOiuDRMfqwm7pYhnz6Mdw0kQ2EKzbs05bTL/BA3j0nmd584O/8cnc94i0ZuLp05vI8GxCCMdYVUntviWUB3KZNuFc7r7lgSNayvJ6Pdz826vxNHgZop/VWncoIP3sYQvF7OOJ+/7MsJO40/rhPP/an1i+cgkj9MmEigMzXh7pZpO2lLiUOF760xtqCVA5pjbvLCPX1YQrxXxGJy4fbZCjlqvOcMXuAFsafQQkWDXB8HATseYDv8Vv3LqWFeuWdJg9CCWCGD2edfu+Y+Hybzh/2iUd7v31d1+wYesahjOJGHGgU1OynskeNvP3d19i1PCJuEPjKGoO0BRoXy1Zc9by3j8epbm8iERfEgmE0YSL/5Z/wLKVC3juoVeJjmy/RHD9j2/ht3/8BRvk9/SSAw7srmIvpeQxccRUVqxbQhrZrY9xy2ZKycNJI0hJfvE+CopzyUzrfVTB8MQxU/jNzffz2tsvUla9E0utFY/uppd1JvZoH76YCHzhIfhD7fhD7ZCZTLQjwJ6aOmZK2WXncSEEF597Of/88DUSZRox4kBFZV0G2MlGDBhJIqP1uEEYSdWzWb95NRVVZcxb+BmxJFHpzmXAlhii0zRc6aEQH0ZqaArRO5ayeMW3nD1uepczbZ1ZtnYx1XWVjOfcdoUVDcJIPzmcRq2OT+a9d8oGOQ2N9Xy/aiG99AHtAhwAi7DSWx/MpqLl7Nq3vdPZPkU5Wi3FBw+XuKzyeTqngpwzlJSSPa4Au53B5Zh4s8bwcFOHXVPfLPmScC2KeL3jf5wIEUMsSXy9+L+dBjlzF3xCnEjp0L1aCEGmZSS1KTG8tW0vQwcFZ0laqiWn7K+WfOdLDxEoKWecPhWzODBTlK73YUPtEl755ws8+Jsn2t3bZrMTH5tEUVkBm1jeetxkMHHjnF8gdZ01G1ZgkVYAiuQ+drMJDY1wovHgBuCJlx7imQf/QuQRzOC0NXPyBUweO41la74jv2gfn379AX53A7ayKmxlVehGA97YSDxx0fjC7BARgyO2D9/VeullM5BmNWDsJMn70vN+TM72DWzYspw4komW8fu3rufhw8NQxndoGhpKOBLJjr1bcbmdmLETSiTJpCOKKzA2NNHUL4OA3Yp16DQid5Ywb9F/jyjIWbD0a8KJIqSTgopCCBL0NDZsWYOu60e1FNbT8oty8Qf8xNJ5blEMiWjCwO7cHSrIUY657iQut+TzHOxMD3pUkHMG0qVkc6Of4v35N9l2I/1CDJ1Os1dUlhGqR3Q5BR8mI6msKulwXEpJUVkB/eQI2vap9NssNKcl4o2NJIwI6hodhBsFmbbgbp+Wrc17cneyt2AXw5jQLsABsIkQMvR+rN64jOraSmKjg0tAdQ213PunX+Jr9DGUs7Bgw0UjDdRRrhewesNyLpxxGT7di5NGXDSyi42k0ptsBmMUJqSU1FPN1qo1PPbC/Tz/8F+PePkhEPCzaPk3zF3wGUWlBVjMFiLDoyh07CFBpiGEQPMHsJbXYC2vocxSiTPRQa9pF+AKSLY1+dnjCtDLZiDTZmi33dtoNPLQnU/xzZIvmDv/U3aVbcKgGfEHfIzk7HbLYS2acCAQhIcGZyA8uIglqfXrMjU6icjZTeOAXvjDQogYdB5Flau6/fW+99k/ydm+nijiurzGgAFd6kjZsl/v1GIyBn9UBvB3el4ngJT6UdU+UpQf6uDZnuSs4M+BvZ76M76ZqApyzjC6lGx0+Cjz6GjA4DAT6TZDl9dHhEdSK/K6PN+Ms9PGjEIITAYTDn8dtbISuzEaf2YmnoQY2P/m6q8rIcJUxeSoCzoEEvsKdgN0aHLZIpYkdsqN5BfltgY5//32PzQ1OjhLPxeLsAXHTzRJZBAvk9iweymXnjeHMHs4uc3bcUsXkcTSj+Gtzy+EIIo4Buqj2Ji7jK27NnW6vXtP3i42bFlNQA/Qv/cghg8ajaZp+P1+nnjpAVZvWkGsSCRNZuP1eigXhXjwsInlDJSjsQgrutSppITd3g2MiBzDnN7JlHgC5LoCOAOSXU4/+c0B+oUYSbMe2O5tNBq58JzLuPCcy5BS4mhq4Ge/vpzaQAXRtA9yAtJPsbaXkYPGMqT/cELt4XhdXrz7Z6xaaD4/4Vv30tQnA3+MjrXPWRS7A6Rau/7eANiwZQ3vfPI64UTTQA1e6ekQlAJUi3J6pWRjMJyaP3KyM/sRag+jzFVAOB1n98opBGDEENWJXekZLbM9m3eWQbkLgMGYyXUFm4meqUtZp+ZPHOWo6FKS0+hvDXBGRZhIsBz6TWzaxHNZv+WPNFBLhGif9OaWLipFCddOvrHdcSkln3z1PiAoJY/qBA1rZjxhRjfRBLDXOPEX7qLKOZebfvlYpzMlJlOwkF4APxrmDuf9+PZfd+A350XLviFBT2sNcNqKIp5wLYqlaxZx2/V38syrjwIwkDGdPn80CdgNIazesJyBfYeydPVi5i38lMLifDxeD16/B6MwYRBGPHozSXEp/OGOP7FhyxrW5qxkOBOIJal1FitLDmSTWE6trGAZcwnTIvFKN269mTGDx/Pb2x7GqAWbcKZZDZR6dPY4/TgDks2NPgqbNQaHGYk0tZ8FEUIQERbJT2Zfx78+/j980kc62ViwU081eWIHHoOb6+b8HJPJzMXnXs77n71FJaW4ZTPWNq+V0CWmnTupz65m1KA55Dh8GAi27jhYQA/w8dx/8+9P/wmAY/80+U42MliORRMHxlkui6iijKvP+12H+3TG0djA6o3LcLqcJCemMmrI2B4PjsxmC7Nn/Zh3P3mDUBlBMpkIIZBSUksle7WtTBw19bTZKq+cug6uukybpay2W9MPdrrO9qgg5wyyvclPiTvQ7QAHYNKYqXw67302F68gWx9CAqkINKopY6+2haiIaGZNbZ+P849/v8zn33xEimUgUQPOQYZH0kwTtc59NOR+TbYjhd1aDikJ6YwfObnT5x0xeAwGzUCpnk8GfTucLyGPEFso/bMP7JByNDUQ1cXMjxACmx5CfUMdU86agc/n43//8QQmOl9eEEJgxIzb4+bJlx9i5frvidHiidNT8eKmjEKQgqFyPBKd3TU53Pf4rzGbLcGdZKL9DxqDMDJAjmQF3zBtwrmE2EOxWW1MHDOtQ4NLTQhSrcFO7gXNAXY5gy01ltd5ydq/8+3g5OQrL/kZFouV9z97i5Wu3NbjmSm9eeimx+mdGXwNr7rkOvbm7WJdzio28D2D5GjCiUYIQYOsZae2AWOFYGx6Ohv2bee7imKspVsZkpbGuVMuIjI8CiklL7z2OEtWLiCZXiSShkCjgJ1UUswKakmSGZgwU0UZdVQybcK5zJh8fqevdYuAHuDtj/7BZ19/iD/gwyCMBKSfmMhY7vif+xg1dNwhH3+8/fiSn1JRVcb8pfMo0HYRokfg0Vw49DoG9xnOHf9zX4+OT1E6026Gpwun82yP2kJ+hihsDrC50YcARoSbSD7MMkRbjsYGnv/bn1i3ZRUCDU0IAjJAv6yB3Hv7w+1+ey0syee2+39KdtQ0wvtOQZqMiEAAW2E5ekkeq5mPToCMlF48es+zxMUkdPm8L73+NAu+/5qBcjTxpCCEQJc6peSzi41cffkNXD37htbrb77nJ8hKjUFibId7SSlZZVzE2MlTuPGaO2n2+7nvqbuwu6PI0AaACM5kICVC1/F6G1nvn8+ogSNYu3YxQ+Q44sSBr9MnvWxkKV48TGAWfnysFN/gk16GMp540fkPijXaAs6eNp3bfnZnt19/d0CywxkMUAGiTBojw02d9qHyej3k7NiA0+UkJSGV7F79OsxU6brO14s/5/X3/orb24wFG5qm0aw7SYxN5porbuBvb78E6cMIjxsAPh9VOZ+gBTzc98tHMZvMPPDMXQxiLEmifV2YYrmvdZeXRGLAQFxCAq89/c5hE47//u7L/Pebj8ikP2lkYxYWHLKOfWIb9aKKp37/EgP7Hir98vhr6W7/7ZK5VFaVExEeybQJ5zJyyNhTMqFaUeDANvVSi4fBwzMOeW1PBUGqTk43nKlBTq1PZ1WdFx3oH2IkO+ToJvCKSgvI2b4eXdcZkD2YPln9O1zzf++9woId++idcklwNqTRSeiuAgweLwC75CaqzCWMHDKGopICbDY7k8ZN49yzLyQstP03rtfr4alXHmb1xuWEaGFYZQgu4aBZd3HelIv55Q33tHtj+c/cd3nrw38wRk7HbosPbtMOs6PbrNRZXVSaq5kx+QLiY4OB1eYdG9m+azOJMh2rOFCET0pJpSjGY2jGZDRhbDaR6I5Fc3swutwYHU6MjU6cvhpWs6B1e/02uY4y8hnMWBJFx6JwUkpWGb5lxjmz+Pm1vz7i17/MEyDH4cMvwawJRh603f9IBfQAazetZMHSr2hw1JGSlM7MyRfwyPP3YvHYGcQ4PEOH4A8LgaZGSra8Ry1lDB04gj3bdjNWP6fTpb4N8nt0dIYxgWViHj+57Dp+Mvv6Q46luraSG+6cQ5YcSKZo/32lS5312nek983gqd+/dNRfr6Ioh9YS7HSlpVZPTwQ6qk6O0qmAlGxy+NCBJItGb3v3ZnB25+5g07b1SKkzoM8QhvQfTlpyBmnJXUf5upTkSRshKcFEXmtZFfa8UkSbODqMKIq8e9m8IYcoGUc9jfwz/zU+/eoDnrjvRdJTMluvNZstPPibJ9mxZwuLln9LvaOOuJh4Zky+gN4ZfTp8naMnzWZRfhm7sRBpjCeEMHR0mqjHQS2ZaVkkxSZgMQgsmmDKoGFU7cuhsGwpETKaUC0SvwhQb6zDb4RJE85j+cYVJIrg9uqA3Yov+kCStcHZTHhNIw21fuKdYCcUgUa5KCKRjkFOAzU4A42MPMpllySLgfAowQaHjwa/ZE29l5ERJhK7sezYmV37tvO3t1+kqrYCs2Zh197tzP9+LgKNEZyNVVgx7czHMawvemgYvTIuxZH/f+zL2024HtXlrrMIYighj61iNSaT6ZAFDlssXb0IgUYqvTuc04RGqt6bLTvXUltf3aE2kqIox8bhtqp/tmEPW6sLgFNna7oKck5zu51+XAGJTRMMDTMddjt0TV01T778IDv2bsWkmREIvLqHjORe/P6OP3VZtl6Xkk0NXir8BnzSTcieAqxVdR2ua6YJDY2x8pzW5FS3bGZjw1Lueew2XnjktXbPIYRgYN+hnS5T6DLY06rYrVPhDRCQBmZcejPrNq+moGgflY6tBByVmAJeZoydwjUzp2Mztc3BMTP62hv4/JuPmLfgU3bXVaJpBlIS03A0NjBv41xAkG6eQrg9k4DNEizgFxZCwG7Fb7disvdHpIVT74umsaIWrbKI6uYyctlOJv1bv0andLBDW09aQiYjBx9+B87mHRuZu+BT9ubtwmQyMX702Vww/VLiYhKYEGUmx+Gn1BNgQ4OPEeGdJwcfSrAFw13Y/WGMYToRMpqADFBOIbvYxE42MFxOwuD1EbKnkMZBvfEmxRNXNZDy5i0YhbXLe7tx4cOL0+TgobueIjoy5rDjcTQ1YNVsGPXOc6RshO6/zqGCHEXpIbNH9mnXTLQ7ejrPRwU5p7FGv06eK5jHMTjM2K7eSmc8Xg/3P3EHtVU1DGMCsXowebaOKnaX53DfE7/mlcff7LTFwbYmP+uKinC5mnDtXoGjOgXrQXkpPumlhFySyGy3+8YqbAySo1nTvIhbfncNv7juLi4857Iux6lLSYlbZ68ruPuohd0g6BVh5+wZM9Cax1BQtA+j0UDfrIFYOmk7AWAxW/jxxdcy56JrqK6p4A9P30VZWTEJMo0kMtnHNsq9u0nwxWJqaAJqgmMwGamN8NMcXUZc1HhcJh+e1ERCUy8kPczOtqX/obQ5nwg9Bq/wUEclidHJ/P7Xj7Fo+TeUVZQQEhLKpDFTiY89kCwtpeSfH77Gf+a+S6gWQZQeiw8fn3z5Pl98+x8euedZBvcbxvBwI6IRStwBNjp8mDRxREtXH335Dga/keH6xNb2FwZhIIVemKSZzaykgRoiicVc34ilshZPfDRa76GYdu6gxl9OEw5CDyr+55HNVFDEkAHD+e1tD3UrwAGIj0mkWXfikc2d7o5zUIumGYhRAY6i9KiWZqJ0/B22U8uqe7a7ugpyTmN7nAF0gp3Eu7OT6ruV8ympKOQsZrYrXR9NPCP0SaxwfMNXi//LVZde1+5xRc0BCpoD5BXsgd2biaj2spU19JFDSCIDA8ZgoEQOAQKd7pYKF9HYZAgGjLz61gukJqUzbOCoDtfVeHW2Nflw+IPBjUlAqtVAqtVAuFEcmKkyRxEdMbrbr5UQgn9+9Heqq6oYI88hRAS7igsp2MEGCuUe0shuvb/bW8+uqqVQBS5RTXm0m4j4IRAThy0+k6vufo2ibSup27kSu8nAhDE3AYK7Hr2VZrcLuyEUj+7mjfdf5bwpF3Hbz+7CaDSyfO13/GfuuyTTC7fupIh9ANhkCMIjePT53/HWnz/BbrMzLCz437fEHZzRmRRtxt5JMvLBAnqApasXkab3oYkGvNKDBRthRCKEII5krNgpp4hIgkGFPb8UT3Q4zaGCfqPOoXJvDjlVy+mrDwtulWd/MKzlEBEWxX23P3JE/b4mj5vO3999mTzfDvrJEe1mHH3SS7G2j/GjJnfI21IU5cTrsE39UNp0V++uYxkMqSDnNOXw65R6AgigbzcTjZesWECMSCSUjsX9LMJGvExh8bJv2wU5jX6drU3BmjXeom1YqxsZyFnsZCO72MSu/S0TdHQEgj4MbdfbqL1gIT5NM/DpVx+0C3J8erBeTJlHB4LBTW+7kYyDKgIfrQZHHUtXLyJLH9Qa4AAk04smHOwmh0J2Ey0TcNNMLRUIBBJJodwNNZKGmgqkzUZ4+q1EhEcTMf5CDBMupH+Ikeo963j0+XtJIJWRTMGmh+CXfkrJ49slwWWxX934Wz77+kPsIoxSmUc4UfRnBAaMVFNOBcXglixc9hUXz7wCTQiGhhlx+iX1+5usTogyddn7qvW19Hnx+X0Uk0su21uPhxJBXzmMaBGPVdrx4Wk9p/n8OEo24kkPof/Ey/jNnBt56uUHydm3ov2yZmIv/nDHn44owAEIDQnjpp/czl/ffgEvHlJlb6z7a/0UaLvRrILr5vz8iO6pKErP607vrYN9cQxnflSQc5oqaA4uUyVaNMKN3VvGaGxyYJW2dm0Y2rJip85V0fq5lMEWBAEJcWaNBFyUaA403cAgMYbechDVlKMTIJQIcliBo4s5Toeso5kmoojDqttZv2UNUkqEEDQHJGsbvDj8Eg1IsxnoG2LEsj+4qa2v5j9f/pulaxbjcjmxWW2MHTmRORddS1J8++JsXl126M8FkF+cR0APtM5KtH6NJiP9/MNJkKmsZwnVxlJ0vySEcJw4iCeVZDKCCccUUdacj2P790yYfh47nQFqfTrbmvx8u2I5kSKOQXLsgcrFwkg6fUDCN0u+YM7F17Bj71YAUundrhJzEhkkyXQ2sZwFS4NBDoBBCEZGmFha66Her1PkDpBhO/R/6zUbVwAQRiSZ9MNOGI3Uk89ONrKUYXICjdTjwki+3Bmsi6SVUlfawKRzHiEyPg1CzTz38F/ZtW87Ods3tEtQP9ou3BfNuIwQewjv/Od1NlR/D4BAkJGchRCC239/HUaDkTEjJnD5rKs63d2nKMrJ53AJzW219OFqSXBu4XG5juq5VZBzGgpISen+miqHe8NrKzkxlZySjUhddvpG5RC17YKGSq9OtVfHIGBImAnz5AtYsnI+lZSQQCpWYSeVLACcshGdAOUUESsT222x9ko3O1iPjRBiSaKUPHQ9QGV1BX6TjZ1+K826xKIJxkSYWqv+NjTW8/ZH/+CbJV8gpUTDEKyn4xUs+O4r5n8/j/tuf4SJY6YCsKzWy/waD3dkhhC9/x5er4dla79j8fJvACghl15yACZhxhdmp+SqWUSt3kJYTrBn0fnTL+Xzbz/Cj484kkkinRgSEUIQQwJRMo41m5ZTsHsj4weNIrc5wLqKeqo1O0n9L4bdjaDr7V93erGPbSxfuwQAA0ayGdLh3yBWJBErkyiraN8rzG4Q9A0xsq3Jz25ngGRL17Nbfr+fv7/zEnGkMJSzWp/DQiLRMp4NfM921hPAz6ABQ9m1dxu6lAzoM5hfnjcHe59xFDYHKHYHiDVr9Os9kH69B3b1LXXEpk04lylnzSC3cA9OVxPzFn7OsrWLidES6KUPxO/3sX7NWpatXsw9tz3IlLNmHLPnVhSl57UtXpi7+kAfLtGsH/qBXTjlghyPx8O4cePIyclh48aNDB8+vKeHdNKp9ur4JNg0QbSp+79Vz5p2CcvWLqacIpIO2gJdKyuooYKfTb+p9dgeZzCQyrQZsBsEwweN4qyRk1mzcQVNsmF/Po6BSkop0HaSHJdKVkYflq5ZRIHcTTTxeHBTSQlGjIxgMjoBCtiNQTNw0++uJXTEBSQkZjCq/2B+NLBva87JsjWLee5vf8Tv9xNONAH8NNGAg1qGM4n+jGCbvo6nX3mEvz71L+LiU5lf46HKq/NinpPf9ArBUZHPQ8/cQ019FRFaDBHEUMReSshjUOhMXFddji8qnLpxQ3BsW4D0y9ZZEDNWGqknhxXYCGGYnECoiCCJdIq0PXy1+HNGDB5Nb7uRGhygBxDRiTRlRxK2u/1vKEZhxKxZaHa7CLWHYXGFYBSd/9eMJZFdzeWts1wtMmwG8puDPa8K3QF62zt//MZta6lz1DKOGR2CKE1oZMp+bGI5s6ZezK9uvLfD42u9OoXNAco9AXTZsfLysaBpGtmZ/Vi0/BuWrV3MIMaQJDNaZxgz9f7sYB0vvPY4Q/oPV7utFOU01LLM1dKHC8/RzeScciU67733XpKTVX+YQ6n1BSPeOLN2RG9CwweNYur4mWxnLTvkBupkFQ2yht0yhxyxkuGDRjN1/EwAmvw69f5gD6ys/W+oQgju++WjXHLuFZSaclnB1yxlLntEDiNHjuXZB1/hd7c/wt23PEATDkrIpYkGMunHWczERiirWIAHNyl6FgN6X0uCuTeO0jI+/N9fsHTZXCBYw+fpVx8l2p/IZC5ijJjGWWIm45iBBDayDIFgEGPQdANzF36KWRPckRlCrEmj2qfzv7mNPPjyH/E5/IznXMbIaYwR05jEhUSH9aHmJ8EAx1jnwP7e2+wNbMRisuKoaWQ0U5nMhUwSFzCW6RgwsYHv8Uh3sJeUHk1JaWHr6zogLpbmHUvwSCfeuCi80e1znlyyieaAk+SEFNJSMtvlwhzMhxeTydxJgCLI2l8DqaUycmeqa6sAOs27guASFsDYERM7PR9lEpgE+CU0+o9vHdEvvv2YWJFIkmhfm0kTGn0ZDjr785kURTkdDe2f1PoxuG/nLXsO55Sayfnqq6/49ttv+fjjj/nqq696ejgnrVpf8M0nynRkMawQgrtu+QMZqb347OuPWN8Y7IEUYgvlsulXcs1lN2A0Br9lSvcnAMeYtdbcGACT0cTN1/yKqy+7ge17thAIBMjO7NvaKRxg+sTzsFltPPnyQ+gE0HWdUgooZh9e3IxmGtbodBrjemGRkpSd5Zj8Kbz6zxc4a8REPp77HnZCgkFMm63oYSKSYXI8qwgumSWKdOJlChu3rAMg2qTxm14hvJjnpNqnY734d6S/N5+QpgPToFp4NOFXXY0/Khx/XTl1HzzOvsY8khPSKKsoYTTTsIkD1bLDRTQj5SSW8xUl5JLFQNyimXh73IFxhYZzVv9BbCpdSUjK+TizUzGtcyB0iZSSfWIbdksIE0ZPRRMGnt3zGE2yod0ONwhW/i3XChk/qvN+X0kWA9sa/Tj8kia/TuhBuViV1RWs2bgcgWARn2CTISSTSSrZrTNHThoBiOwicVgIQaRJo8qrU+vTiTjC77HuklKyt2A3feSQTnPETMJMhIxl177tHU8qiqLsd8oEORUVFdx888189tln2O32wz+A4NKWx3Pgt2KHw3G8hndSaakdE248iqUEKUlLzmDWtItxuZoY2G8Y40ZM7FBnpn7/bFGCpfM3uRB7KGOGje/yacaPOpsXH/s/Pv/6Q1ZtWI7P5yUQ8JOs9yJcRNEYF+x4bi2rxuRy05vBlOuFLFj6Fas3Lidd70MZBZTIPFw0YsREPCmk04dwoqmilETSEQj8fi+LV3yLruv07z2Q3/RK5aGNBZiikqj+yWws73+NqdHVmoPjjwqHumqqP3qQs4eOYNrEO/jXf17HVxnARsd2IGZhJV6mUkExiTKdGsqZM/4n7a654ce3cdejt1ISt40Icyp6hI6/toRisY96qrn3xoexWqxMHDOFf32czOaalQzWxxEugsGGR7rZLTbhxsVl518FQJOzEaeriYjwKKwWK2ZNEGXSqPHp1PkkoW3+d+cV7uW+J36Nz+0jjWxshOKglly2U0ExI+XZGDFRIHaTHJdK36wBXf7bRRiDQU7bGkXHmhACg2YgoHc9K6WLQLsu9IqiKAc7JYIcKSXXX389t956K6NHjyY/P79bj3vyySd59NFHj+/gTjIBKfHqwTefzho4Hsr2PVt46uWHqamvwmaw45d+vljwCSMHj+Xe2x8hLOTA1uqm/W9wYYaj/00+Kz2bO3/+eyDYBPQnt19ENPFIwBcZfC5zdX3wT2EhTERSVFaAz++lnCKcOIghkUz64cFNGQWUkk8I4ejo6FKnkhK8lR6e+9sfW593xKAxGKUBz6Rb8EXFUXLVLBLmLqXiwsn4osIx1TnQ3/sHRn8jv7n5fgD+3vwSFmntcueZBRs+ysnRlhMfncg5k85rdz4+NoEXHv4bry74ir2OSsqji2iuXUPfzAHcecXvWjtsm0xmHr/vf3nwmXtYU7GQcC0KgzTSQA1Go4n7bnsMXQ/wyPP3si5nFRKJ2WRh6oSZXHPZjYSaIqnx0S4AkVLy5MsPobmNnKVPwyTMOGQdBgyEEEYeO9lOcLarVlbwwNVPHHKHlHX/P7lbP77LVaOGjmPbpi1k6H07jMclm6ijitFDuw6kFUVRejTIue+++3j66acPec2OHTv49ttvaWxs5P777z+i+99///3cddddrZ87HA7S0tKOaqyniv0TLAiCtWS6q7issLXM/1jOIVyPQpc6VZSwdfsmHn3+Xp554JXWhpju/W+i3Sk+1x1mswWBwIMb3WoJdi/XdYyNTiD4Ru3VPNisdiLConA01jOCScSIA+u0WXIgG1mGg1oy6McuNuHFQwb9yKQfGhqVlLBzxzaERUDJgyRd+Qy+qHCKr70QAFOdg5T3v2azcze9+mS33jstJZNNZeu73HlWS2WwvktKGg/85gls1o6zjfGxCdx62U9ZUdWEcDcyMdLYrtpxi8S4ZP721Nus3riCtTkr8Pl8ZGf245zJ57M3bxf3/umX2GQI/RiBDTsNvjq+X7qIdZtWccf9r4ExnOY2AcjmHRspqShiFFPw4GajXNpuK79AUEUpEWFR3H/9Y5w1ctKh/632L0/6jm6zQ7ddfv5VrN6wjJ1soI8c1rqk1iydbNVWExUWw9lnnXN8B6EoyimtR4Ocu+++m+uvv/6Q12RlZbFo0SJWrlyJxdJ+yWT06NFcc801vPXWW50+1mKxdHjM6a7l/fdIf8f+eO6/0fwGhukTW99MNKGRQBom3cyGvUvZuHVt64yDEMEnOVa/y1stVkYNHcfurbtICgSbb8o2wUQN5bgCTZw1cjLzl8wjhax2AQ4E8zQGyJGsZgFF7CWAn3T60EcMab0miQwi9BhWNX+L3uzEP/ctuPZXrecT5i6l2rGDOqq4ZeaB4+dPv4SlaxZRSj4p9Gr3vJWyBAe1XHP5jfzk0usPOQsiCQZ0USE24qPMXV5nMBiZMPpsJow+u/VYIODnhdceJ0KPZpicgCaCicYxJJKiZ7Ku8Tu+WPAxY2bd0G7CaU/eDkyaGYtuYy2LMGNlGBOIIREfXkrII4/t9Erv3brd/mQwqN9Q7vif3/HSG89SSQmReiwB4aeOKiLDovnTvc9jtXTdQ0tRFKVHg5y4uDji4uIOe91LL73En/70p9bPS0tLOe+88/jggw8YN+7oOjqfrtouHkm6XF1pR0rJklULSdZ7dbp1OYp4wrQIvl+9sDXIMSAIIAnI7j7L4V15yU/53ZZfsSOwing5AKMwoRsN1PiK2KmtZ1D2MOKi42n2uIij8x12YSISi7TiE15CZBh9xbAO19hFKPEyFXeSCd+FP6JtVkfhhWMpfe8jZg6/gElt3vCHDhjJrKkX8/V3X1Anq0ggFYFGJcWUUcCkMdO46pLrDlsIzxM40I7iSK3bvJrahmrGMaM1wGlhETbS9T5s27OdIdPcGGwHcoeMBhO6DJBPsLDfKKZgFsHg34KVLAZglTY2bVvHvvzd9M7s2HajrZYJnGNQaPqwZp59IcMGjuLr775gT95OzEYzo4dfx9TxMzqdLVMURWnrlMjJSU9vX7MlNDTYFqB3796kpqb2xJBOWkYBBgEBCc0BSUg3ko91qePxurHS+ZuGEAKztOF0OVuP2Q0Cr1/i8EvCjtF30cC+Q7nvl4/xwmuP43KuwRaWxN6EnTQW5zCk7wj+cMfjuFxNwTHTeUKqlBK5f4rJgwe/9GEUHZNT7WGpGC+9CUNEApqzltJPnyDmwrsxRSXR95a/8tN+se0CFiEEt19/D5lpvfnsqw/JqQ7Wy4mJjOP6827hsllXti7ldWbnvm18tfBzck1xGMJjGREbzuCx47Hbuv9GXVSaj0kzEyYj0aWOa/9OKDthaEIjijiK7B4amxzYYw60zhg97Cz+8e+XKaeIDPq2BjhtJZJOnradhcu/PmyQ07w/ULOciCgHiI9N5Gc/uvmEPJeiKKeXUyLIUbpPCEGIQeDwS5wBSXfaVhk0A3FRCdTX1XRYigEIyABNWj3JCQf6iESZBPV+qPPppFgP3/yzuyaOmUJkRBT/XbeaGnssUemXclnWbQzIHogQglB7KElxKZRXF3Y6m9OSGzOQ0exgPSXktWsI6pSNFIfVoP/kVowRCVi8jdyWbqP3n/5KjTfAX4q8VGPjzwXN/KbXgcrIECxSd/HMK7jwnMuoqqlAIomLScCgdf31Syl584O/8vG89wiNyCBy8IUEqhz8Z96rLPw4jCfvf5GUpPQuH9+W1WLHr/vYx1ZKyMeLGwAzFlJlb8KJwhiWgMloJKrN9vHUpHRGDRnH+i2rCSGs03trQsNGKPUNh28t3JLUHHKM8rEURVGOl1OuGCBAZmYmUkpV7bgLoft3PNUfQbG2C2ZcSqUowiE7vskVsBuP7ubcKRe1Hos2B5+jzKOjy2OTmZNfnMtvHrqZe/90O8u+/TclxfvYVZTPN3vzWrcSCyG44qKrqZDFFMo9yDbP3SQb2M46wogkiQziSGnt4g1QJgtYG7YhGOBEJSLrqih44y7u/f3VrM1ZRbzNwm96HSgY+GKes7WwYluappEQl0RiXPIhAxyAhcu+5uN575FtHEW/7J8RJ5LJqApnvG8aHoeXR57/3SG3Sbc1dvgEAPLYRRzJjGIKo5hCPKnksYPdEUWERcQRExFFxEHrYffc+iAGYaCR+k7v3TIzFBt9+OXjlvIBYUdTokBRFOUEOiWDHOXQYvcHIFXe7m9/uXjmFWSmZbFBfM9euZV6WUO1LGOzXEUu27jq0utIbTPjkLC/CKBHl5R7fvg2m7KKEu794+2UF5YzjAlM0y9iwG4ToYEI1hUW8cJnH7ReO2vqxcw+78fsJodlzGOrXMM6+R2rmI8HN25c5LOTUMLx4CJXbqdKlrEzLJ/knzyDMSoRU52DXu8vZkLDOKIC8Tz58kNUVJW1Fgw8XKDTHVJKPp77b+IMaUQNPBfdZkFze7Dnl2ATIQzQR1FaWcy6nFXdul9+0V4kkiGMY4AYSZSII0rE0V+MYCjjISmD5KRUUm1GDAflBoWHRXDBjNmUiQLcsrnDvUvIxa03M2Py+YccgysgaQoEG6XGHKdCgIqiKMeK+il1GorbH+TU+/TW/InDWb1hOfWN9filj3x2sY7FbGI5epSXX9/0O669/KZ212tCkG4LzmLscfl/8GzOu5++gd8dYKR+NnEiGYMwEtbgJy3XSzQJbKp2sLiglMD+nk03X/MrBvQZghc3FRThxU0WAxnFZBJIZR/bKKOAEFsoRca9bDauJfGqJxBRca3bxE2NLgzCyCA5Bk1qzF30GUCHQOfP+c7W2kNHwtFYT3FtDVFDL8YfHoLwBwjbnovmD87cRIhoQg3hbNq2rlv3+2rxf4nQokkQHfPQokJ7ExbTF4ejgUxb57NLP774WkLDw9igLaFU5uORbpqkg90yh11s4sJzZpOe0nG5sq0Kz/6xm7Qum4AqiqKcLFSQcxqyGQQxJg0JFDYffink2yVzefZvj2GoMzOaqUzgXPowlFARQUNjPb3Sene6a6iXzYBFEzT6Jbmu7i25dMbpbOS7FfNJlVmYRPtt1dbyGhLymzEIjZV5+Syv8+LwB2dWUhPTkMAYpjNBzCJLDCRKxNNfjGQAo2jGyZSJM/jXy58Rbg3BsOb7dgFOC4MwEqMnsmnLgWCjJdCJM2vMjLG01obpLiklxR6d0OGzwB6K5vURtm0fxub2fakEGrrevZmikrJiwvXojs8FOLPTsGKnoWgHYcbO/1tHR8by3EOvMmDgILazjqV8ySq+pdpayrWX38StP73zsF9Twf7vpxSr+tGhKMrJTyUen6YybAZqfDqF7gDZIYYOyxct3B43/3j3ZZLIYCCjW4OZDMJIlb1Zr3/H6++9ytN/eBmAkrJCVm1cjtfrITOtN/36j2OzU7LH5SfOrB1VL6O5Cz9DIgnpomlkSGk1snkb7tQMHH7JslovaTYDO/L2EE9Ka+uDtpLJJI8duFxOwkLCMJvMiJzVpG/3ts6ktCUQ7fJ7IBjo/KF36BEHODVend1OP9W6ndCwKJzl+aTu1tC8/nbXOaWDxkA9A/oM6eJO7YWGhFInGjocb05LwB9qx+erwFqbd8h7JMQl8di9z1FWWUpBcS5mk5mBfYd2q95MlVenKSAxCkixHLtkc0VRlONFBTmnqUSLht0gcAWCsyx9uthmtWrDMlxuJ8OZ3GG2xiAMpOt92LprDfnFufz7kzdYvm4JRmHEqJlwB5qJjohl9m1PY4lNZ22Dj4lR5iNuJ7Fo+beAoIl64jvZMRWQARy1e8hyl5Fo0Sj36BQ0B3BljiXKFsBfbsLY1D7PRAhBhIymuqYSgMH9h7Fm9UqyfUMOVEzcT5cBarRyZg24uMNzdzfA0WUwNymvOUDd/hweoyYYn5LAJ/P/j2jGtltm8ksfO7UNRIZEM7FNwb9DmTphJv/IexmXbMIuglvEPbGRNKcn4Zc+avKXcM3Umd26V1J8Mknxndca6oyUkp3OYJCWZjWopSpFUU4Jas75NKUJQb/9gc0+lx9PFzklNbWVmDRz65vmwcKIBODP//cUazasYCCjmSwvZpJ+IeOYAQ6Nd168A6+jGrcuWdvgPeL8lbLKEkBSTC5e6elwvph9BPAzbsgYRkeYGR9pJtqkYbHY8MbH0DCsHw1D+tCcHEfAZmmtwuzWXISHBcd/8blX4NQb2cPmdjM2utTZyUZ80suF58w+onHrUlLj1dnR5GNRjZcNDh91Ph2N4Eza1GgL1009h8njprKFVawXS8iV29kpN7BC+xqPuZkH73oCk6nrysdtzZh8PrFRceRoy6mR5XjDQmjKTqdZOikqW0iop6HdDrhjqdit4/AHZ3G6CpgVRVFONuqn1Wks2aKRZ9So9+tsafQxKtzUYbYmIjwKn+7FQzMWYetwD+f+gnO7c3cwlPHEiwO1csJEJMPkRNZ4F7Br4b8YfcVdOPySlfVexkZ0f0bHZDThD/iQ6KzjO3rLgUSTgBcPJeRSyB4AHE3BpZoYs8YEs5ktobC4ZAtR0bEQHoI/PARXrxQMzR48jjKaHVGcNeF8dCnp13sgt1x7B6+982dqtHJi9SQkkiqtFI9s5s6f33/YejV+XdLgl9T5dOr8OjVenba79C2aIMNmIN1qwNr6tRv47W0PM2HMVOYu+JTC4jysVhsXj7uCi865nPjYhG69RgB2WwhP/eFl/vTi79nizCO8fwZC20tzTT5xnjIe+MNLhIWGd/t+3eUOSHY0BWdxsu3GI16+UxRF6SlCHpyIcBpzOBxERETw0WtfY29T9v501uDTWV7nRQeGhZlIO2jnjdPVxE9/NZsEX3qHFgi61NnAEpzGRgwBIxPl+Z0mIOfLXeRp23nrb/NZ36Tj1iU2TTA6wtStHJ0Hn72bDVvWMIbp7GEz9VS3njNiIplMCtnDw3c93VorBqCmrppf/eEGdJ+VzJgpWKMy8EWE0CQaqRUVREZGce7ZF2LQNEIMglCjoKaiiDVrF7F371ZEwMfAPoM4d/L5pKdkou/vxRWQEo8OHl3i0YNFFZv8sl3TyxYWTRBn1og3ayRaNOrqa1i2ZjGOxgbiYxOYNHYaIfbOZ8mOhpSS/OYA3xUUU1FVjs3byNnJsQwfMPywLSWO9vnWNvio9OpEGAUTo8xox+F5FEVRDsXV7GTOLbNoaGggPLz7v8ypmZzTXIRJo2+IkZ1OP9uafIQbBbm7NvD5Nx+yZecmBIL42EQKy/agS510+mAjBAd17GMb9dRg8puxYO3yTdSKnYAewCK9TIiys7beS2NAsqLey8BQI+lWwyHfgK++9Ho2bFlDI3WMFlNxSgdNODBgIIo4CtmLyWBiQPbgdo+LiYrlqT+8zFN/eYgtJR9gLDMhDRoiLIaBw87mvLPPxW3Q8EtoDEgaAxIiUxg+86cMb5O6UgQU1Xm79XraNEGUSSPSJIg2aUQYBUIIAnqAN95/lc+//hCBhkWz0hxw8tq//sz/XPNLLpg+u1v3PxSfLtna5KfEHSAuJpFRKSkMDjMe16BjnytApVfHIGB4uEkFOIqinFJUkHMGyLIbqPbpVHt1/m/lKha//Qhhfispem9AUlVRCkCFsYhi/4EKwSYsDGUCjdRRyB780t9pA88GaggLCcdqsaFpgvFRZjY6fFR5dbY0+qn06AwJM7VZwmlvQN8hDB80mi3bNhEqI4kUMYQQjNRrZQX5Yiczz76g06WY9JRMXnniLbbt3szu3B0YNAPDBo2isqqMdd+8js/vI6v3YIaPmorfYKFZPzBL49chgGydwdEINp3UEFi0YNKxRQu2yQgxCkINosulmn/95x989tUHZDGINHpj1E24aSbPt4NX/vk8dlsoU8fPOKJ/t7aqvTqbG3249hfi6xdqJMt26ODxhypzB1qTjQeEGrvcmq4oinKyUstVZwivLvl0TwGff/cVUU0Wem1zYggEdwFJKdnHVvLZxTWX38gHn79NTCCJwYxFCIFbuljGPDLpT7ZoP5vilI2s0xYz+4I5XP/jW1uPSynJbQ6wq8mPTrDrdr/9szqdzQY4XU384em72JO3gyhisROOUzRQL2sYOmAkD9/1dLe2OVdUlfHwc7+lqKyAUEMEBgw4AnXYrHbu++WjrV3UjyVHYwM/u+MyUv3Z9BaD2p2TUrKFVWhxkn88+94hm3h2xh2Q7HL6KXIHt73bDYIR4SaijnO14RqvzpoGLwEZrIc0KKxjk1NFUZQTRS1XKZ0KBPys2bSSPXk7WbV1A4a4QUSGZtE0uJmwbfvQ/AGEEPSWg6nUSti6Mwd/wE9vBrXOEliFnd5yEPvYhlM2kkovTJipoYJibR8J8YlcceE17Z5XCEFvu5F4s0aOw0+9X2dro58CV4C+IUYSLVq7WYgQeyjPPvgKy9cuYcH386irryE7pg/nTrmTscPHs27zKr5e/AWl5cWEhYYzdcJMZky+oF0Xb6/Xwx+euhNHjYMxTCNCjwHAjYudno388cX7+fNjr5OReuiqvkdq9abl+Pw+0ujd4ZwQglTZmw1V35NbuIfszH7duqdPl+Q1B8h1+VuTmzNsBvqHGI/79u1qr87a/QFOglljQKj6MaEoyqlJ/fQ6je3O3cHjf36A6rpKbIYQfAEvenkRxsFmEkJ6IwdnE759H5rXjxCCaD2B4tJCAEwc2NbskW6iiCOLgZRSwEaWBa8xmpk2YSbXX3krYSGdd7cOM2pMiDJR6A6wuylAY0Cy3uEj0qjRJ8RAvPlAsGMympg6fka7ZR2/38+Tf3mIVRuWEqnFEKZHUVfVwD/yXubzrz/iyd+/1LpDadna7yirKuEsZhIqDhQWtAo7Q+RZrNK/5dOv3+c3/3P/MX2dnc4mDMKImc5nmqwEAzGny3nYe/l0SaE7wD5XoHUrfqRRY2CYsV1H9OOlwhNgg8NHQEK8WWNkhMrDURTl1KWCnFOc3+9n1YalrFy/FLenmfSUXpw3NVgr5fdP/gaLz8ZYziFcj0IiqXaVsWvLN8ghM0ixD6BhaF/CduRhdDYTINC6JFRDOZEylt3kUEUpcn/1mZY38vt/+RgjBo/p1s4hTQgybUZSLAZymwPkuYIzO2sbdEIMgkybgdQuCsy9/9+3WLNxOUOZQLxMhv2XuGQTm2qX8eTLD/LCI68hhGDl+u+JEnGEdlI52SAMJOppLF+z5JgHOcmJqQSkHwd1nVZfbtktdqjie01+nfzmAMXuQOvMTYghWOso6aBZr+NByuDM0Y4mP5JgMckR4aYuK2UriqKcClSQcwqrrq3kgafvpqgsnwgtGpNuZsOmtXz05TsM7DME3aczXJ+EUQTzKYQQxJGMudnK+s3/JXpgNHZ7Io4hfbDuyaO6tpTZY+awa98O9uzcRkAGEAj6Mowo4vDgpph9VFFKbX3NEW+NNmmCbCuUbFnJoq1bqTeFYrWHk5WeTXZ6b1JDLKRZDUSbgjuWfD4vX3z7CSkyi3jRPkCwi1D66sPYlLecXbnb6d97EG6PG6M0tQZCHZ4fK15f93ZRHYlRQ8YSExlLbsM2hsoJaOLAjItPeinUdjNiwBjiYxPbPc6vS8q9OsXuANVtOsaHGoJLfSlW7YTMogSkZGvjgbyfNKuBIcd515aiKMqJoIKcU5Su6zzy/O+oqagKztTIKBAQ0P3ksp3tu7eQTp/WAKetCBFNqNtMXc4XRPS/Eneknbz+JqyVozhv2mxmTbuE2+77GdInGcfM1iKBoUQQLePZTQ6vv/cqU8bPIGJ/ReHu8Hg9PPr878jZsZ5oLZ5QomlKiGJV8R527UvnnEnnU2y1YdMEiRYNT1UhTa5G+jOq0/vFkIhJM7Nlxyb69x5EZmoW27ZtJqAHMIiOvZXqRCVpyRndHm93GQxGfn3T73j0f+9jvfiOVD0b+/5t+MXaPrBIbvnpHUAwAbzKq1Ph0anwBmhpEi+AeItGL5uRmP1B3onQ5NfZtD9nSgADQ41kHuddW4qiKCeKCnJOUZu2rSOvaC+jmNJuicQgjGTLIRSwBwsdKxi3sGKjLlCOvu0dXJlJ2NIHMWP2rezSohho1ZFSJ42+HaogCyHoJQdQquexePm3zJ71426P+c0P/srWnTmM5GyiZXzwYDk0ljWwJeJL1ngdTL/wepr3J93W+m2Ej70cT0MM7gYw1Tdh8HSciWnZIDhr6sV8+tUH5LGd3nJwuzfqallGFaVcNeO3nY5NSsnmHRuYu/AzCgpzsVptTBo3jfOmXER4WOeNQ9saPewsnrz/z/zro3+wdfcaADShMW7EJK740a14IpJYWeelzqfTtud4iEGQajWQYjVgP8KeXz9ES0fxHU4/AQlmIRgebiReNd5UFOU0ooKcU9TanJWEGMKIDMR2OCeEwCKt1FNNOn06nNelToOoJSIygrSUFIYOGMGoiReRp9tpCkgWVzWhJfcnvDgaOikwYBYW7FoYFdVl3R5vk7OReQs/J132IVrEtzsXJiLIakhi66J3uW3GLGxxaZR7dAzhkVjsYTSYzBjjgks9mtuLsdGJqdGJo7EAn1NnSP/hAKQkpXPDVbfxxvuv4tDqSNTTMWCkmjIqRBFjh01g5tkXdBiblJK/vv2/zF34KWFaBJF6HI04+VfhP/h03vs8cf+LpKf0wtHUgEEzdNk6YVDfoTx6/8vk11RT0eRCt0fgMVjZJwHngQ7kYQZBgsVAouVAMcETyenX2drkp2r/ElmcWWNomOmIG6sqiqKc7FSQc4ry+XwY6diLqkUMCZRSQL2sJlK0D4SK2ItHNvPsXa/QO+NAEJSmSzY3+ij0mrGlDaEpLpLwvGbMdY3tHh+QATyymbCQ7tcq+PdnbxLQ/SSS1un5eFIRrGXn7hzOT80k0WJgaJiR4mgr36xbSkjkBKxhyehWM16rGWdsCBXCTa/w2yiLysbZ4CXUoDFm2o8JT8jkq28+YPuuDSB14mMSueHc27hk5o8wGDp+y3+75EvmLvyU/owgRc9qfU09spkc1wp+96dfYbFYqamvAiA7axAXXXANQ4dNwBXY3/YhIHH45f4dUWEQun+3mQzWCIoxa8SaNOLMGiE9VFQvICX7XAH2uYKzNwYB/UPU8pSiKKcvFeScxAJ6gPyiXLxeD6lJ6e1mELIz+/L14v/ixoVV2Ds8VqJjMhjZpC8jWfYijmQC+CkThVRQxOXnX9UuwIFghd9R4SaSLQZWRMdRU9dI6IAszHUO7PmlGJuDHcLLyMere3B73BSW5JGecui6M7qu8/3KRUf89WtCcP1FP6Zk32bW5vyVKFMS4fYMPOFWmsIgPC6NyeOm49LB5dGhZSEobQTT/2cEZ/t9GKVOmNWKxSDY7JQYNR9GAQYhMAACySdrV5OQPJEYMRS3ECBAagakQaOXlsIe0040Ywz9slLRzUaajE28uXErwzxmBvVr3+9LEFyCitzf+iHKqBFmFD2axCulpNyjs8Ppx7U/CSjWrDE41EioqmKsKMppTAU5JyEpJV8t/pwPP3+HqroKAIwGI5PHncP/XH07keFRTBk/g9ffe5Vdnk0MkePQ2iTa1spKKkQJP7nkOtxeN18v+i+FzcFO3okxyfzyonuYNe2STp9bCEGy1cD1Iwbw2Dv/R3mSRnRUIr6o/hgrq6grXMU+zyY0ND7/6kM+nvdvxgybwD23PkBoF7VyyqtKqXPUoKFRQTFZDOxwTSUlSCSD+g1td9xkNPHgnU+wct33fLXov5RVFBCmhXPR8Jmce/aFmKwhOPySRr+Oc/+siisgcesSjMGk69a+VZ3weNw0hqcQH56CS3TMvdEAu/RiJQS7CNbjCSWGOn8pG9YuZHhqKhlxCYQYBGHG4MfJsu1aymCS825ngHp/MAC0aYIBoSdmW7qiKEpPU0HOSeidT17n/c/fIpF0RnI2ZixUB8pZsWoJO/ds5YVHXiM8LILf3f4If3zx96yS80nU0zFjpU5UUkkJwwaMYs5F12Aymbn2shspryrDaDSSGJfcrdYCg7MHcf+PruaFt/5MfnQG1pgMAvEBiMsioSqWvsXhGJu9VFBMzpb1PPr873j6gb8gkazfvJolqxbgaGwgMS6JYQOCu6NiSCSfXUTK2HZ5OU7pYDebSIhNap0VKq8qZfma72hyNZGcmMrksdOYNHZap2ONNQtize2/JiklXhlsi+DRg3/36RKfDC7b+CXoEpy6xFeVj0GYschAy4MRAT34oQfw+TZi9YUQHnCieX1oHh9RAR9l2ncUxIdy3rW/Ppp/5uNGSkmFV2efK0CdLxjcGAVk2YP9rozHuWKyoijKyUIFOSeZsspSPvj8bbIYSJY4MOMRSgTxegpraxbx8bz3uOHKWxk97Cz+99G/88m891m+9jt8Pi8pCencMvMOZk27BNP+mQyz2UJ6SuYRj2XE4DH886l/sjZnFR8s+C9lMoT0yPGYEyw0xkvMtQ5iy8Ix1VvYtHcpK9d/z2dff8T2PZsJ16Kw6DZ2aNuYt+hzTEYzFr+NCKLZwPdEyTjCicJFE1UEE5ivvuwGfH4fr/zzeRZ8Pw+DZsQsLLgCTbz29p/55Y2/7XaTSyEEFgGWw7yhy7BI3qwvoq6qkFTO6nC+STbQQA5pjMMkmtrc30CEHk1+cW6n9/X5vGgGAwbtxO1WCkhJiVsnz+VvnbkyiGA7iN5242FfC0VRlNONCnJOMgu+n4dJM5Oh9+1wzi5CSdTT+WbxF1w35+domkZWejb33PoA99z6ALqud7sBZG19NXMXfsaSFQtxNTeRmpzOBdNnM/ms6e3emA0GI2eNnMTzf/sT8e5U4sKSaU5NwBsT0fphdKYQWd7E39/7K47aGkYymSg9HiEEUpeUkMtO/0ZKyWc4E0ihF6XkU0kpJszYhJ2QSDvTJp7Ly288y8KlX9OXYSTrmRiEkWac7PNs47m/PkZoSBijj2GTTSEEl13wY1755/PEkE8SGa3LOF7pYRtrsWAjnpQOj/UJLzbrgXwov9/P3IWf8uX8TyitLEYTGqOHncUVF17N4INyd46lJr9OoTtAUXMA3/5VOaOATFswqbir7u+KoiinOxXknGTKq0oJJQKD6PyfJoIYilx7cXuaO3RS726Ak1e4l/ufvAN3czPxeioxJFO+t4Jndz/GklUL+MOvH8doPPD8UkpcbidWQjA2uQjbmYffZsGTFIcnPopAiA1b1hicej2ZNRbCKg3QEJz1EEKQSm8cso5KQwkbA8uIE8nEyiTcuKjQijCYDTxwxxNU1VSw4Pt59GUYaSK79fltIoRBcgwe0cy7H79+TIMcgFlTL2FP7k6+/X4uxVouUXosXjxUUIxEZxRT2lUxhuAMTx1VTBzzcyAY4PzxxftZv3k18SKVgYzGL33s3LyD+3J+xd23PMC0CeceszH79GAycbE7QI3vQOUdu0GQYTOQ3kWbDEVRlDOJCnJOMmGh4biFC6nLThNDm3FiNJiwmC1Hdf+AHuCPL/4e0WxgvD4Ls9h/HwnVlLEuZyUfffkOP5l9fetjhBDExyTSUFNDKlkAGJs9GHOLsRWU4Y6PpDmxEmGzY4vrgyNeQ/P6MFfXY66qw9jkCs7eBPK54oKrWb95NQUVO7FZ7cyacDGXnjuHhLgk3vn4dQSCasqpkRVEE08SGZiEubWb95a8VVRWV7Q25TwWNE3j1zf9jgljpjB3wWcUFOditdi4YOClfPPdl+QFdtBPjsAuQpFS0kANO7T1JMWkMGlMME9o7sJPWb95NcOZSAyJra0l0vRstrOOF//xFCMGjyEyvGNvq+4KSEmFR6fUE6DKq7erlhxn1siwGYgzn5hWEIqiKKcCFeScZKacNYMv5n9MJSUkkNrunF/6KdPyOfus6Z3We+mO9ZtXU1FdxhimHwhw9osVSSTJTL6c/wlzLrq23WzO+dMv4Z3/vEG67EOYiGw9rgUCVJWuoL50C+awBGzxcXjjotHNJtzJcbiT49C8PgI1ZRhrdzFmxER+dOHV1NRVERYaTmx0MAF53ebVfPjFO62NQHV09rCZXLYzTE4gSsRh3V/B2dXcBBy7IAeCgdyYYeMZM2x8u+MTRk/hiZceYIXra8K1KAL4cQYaSUvI5NF7nsG8P9j8cv4nxIvUYIBz0H37ymFU6iXM/34ecy665ojG5Q5IKr3BFhDVbQIbCPa4aqmWrAr5KYqidKSCnJNM/+xBjBk6no1b1uGTXpJIR8OAg1r2alsJGP3Muejao77/jj1bsRlCiNCjOz0fTwobG3OpqC4jJfFA4b6LZ17B0lWL2FDyPWl6NrEk4cdHKfmUU8jZ487h+9UL8TZuJCovAV9UGJ7YKHzR4ehmE/WJdsKSp/OvHQUUfP4J3toS/PXl9EtO44JzZvPS608TpccxkNGtwZdHutnKajaxnAnyPOqpxmgwtgZGJ8KwgSN568+fsHT1Qnbn7sRoNDJqyDhGDhnbujzo83kprSxmIGM6bQ5qEmYiRDS5hXsO+3wBKanzSaq8wdkah7/91ne7QZBsMZBk0QjvgWrJiqIopxIV5JxkhBDc96vHeOn1p/l+1UJ2ixwMwoBP9xIflcjjv/jfo9op1UITGhKJlJ0vh8n9BfUOzkGxWe089YeX+eeHr7Fw6Vfk+rYDEBsVz20X38kF02eTV7iPvRVbGK5HYK4N7r6SQtAQLqmOKcYYk0xFZSXxEcOwRIzDj48afzl//X4J5oT+DHAMweTyBvd2AxZhZagczzLmUsBuKrUSJo2d1mU9nuPFarEy8+wLmXn2hZ2e1wzBisF+2XWHcz8+zCZzh+PugKTBr1Pnk9T4dBoO6m0FEGnUSLBoxJtVYKMoinIkVJBzErJarNz7i4f52ZybWbNxBV6fh8y0bEYOHtPt5OKuDBs0ivf/+xZ1VBFNxxmRCoqIj0kkIS6pw7kQeyi3X383N1x5KyVlRZhMJtJSMlt3Y933q0e57/Ffsbp5Pgl6GjZCggnHDcWY3RZk3jYGWWZBtA1fpBF/eBghxnAKoiWh0UNoEkkgJQaXG2OTC2NTMwanizhnOsWBXCLDorj+x7fg83n5fvUi5n8/j5raaqKjYph59gVMOescTJ0EEsebQTMweuh4dm3ZQZqe3SEIcchaHLKOESPOpsITwOEPBjYNPkmz3rFIoVUL1v2JM2vEmjW19VtRFOUoCdnSwvkM4HA4iIiI4KPXvu6wM+m4P3djA6UVxVjMFjJSs35wsHK0pJT86g83UllawTB9AnYR1nq8lHx2sJ5brr2DS8790VHdv6qmgs+/+YiFy76hydVIfHQCZ48/h4++eCfYG0pkHRiLEPhDbKwP30JMeF9iw/qjm00d7lktS2nWq/nZxT8hymbh7Xf+TN6+zUR47djdBlyygRpZQZ9e/Xn8d/9LiD306F6cH2Drrhzue+JXJBmy6WUZiWYLQ7eaabT6KA4pJyQugQvPnYM46N9dAKFGQaRRI9qkEW0S2A1qtkZRFKUtV7OTObfMoqGhgfDw7vdNVEHOcVbXUMvr/36FpWsW4Q8EO1HHxyRy1ezrOG/KRSdkDAerqCrj/ifvoLK6nBiRiEVaadBqaNIdzJp6Mbdff88xDcK27drMvY/fzlmcS6jo+M25Wa6kiQbGcx66xUwg1I4/1IY/1I4/xEqhuYD0jF6MGzGRFeuWUFRcQIJMa+3ZJXx+vJ56ivzb6JPRi6suvAqzJjALgVkDoxAYBZg0gUawQJ4mgi0bOl2yk8FFu4Bs+QhWSPZL8OoSn5R49eDfPTp49GBV5W15u1m5cQVIsGBDJ4BHugkPjWDaxPMItYcQahCEm4LLTpHG4J9qq7eiKMqhHW2Qo5arjqOGxnrueew26mrq6KUPIJoEfHgpqcnjpdefpq6+hqsuve6EjyshLolXn3yLxSvm8/2qhTidTfRJGcesaRczuN/wYz6LEBISnFnx4CKUcPzShx8/ZixoQiORdDazkgJ2kentj6G2AXNtA1JK9rGVGmMev5nxGkac/HPNVyRbBhBiFejWANJgQJqMmEyxxMgh7G2oYGtNIzZbx6alnRG0zxU+OB/mSGSk9yEhIY38vB3UV5dgkX4G9RrKmP5DiDAbCTGcPH2tFEVRzgQqyDmOPvryXWprahitT8MuDiyhRBOPTYbwzievM33irMPWfNm+ZwtfLfqc/MJcrFYbE8dMYcbk839QAq7VYuP8aZdwfheNOo+ljJRepCamk1u+g0K5lxrKATBiIklmYMCAQLCXrVSLcuL0ZCSSKq2EBr2Wm+bczoisbJav/Y7m3PUkk4RFuJGANBjQLSZ0iwmLUVJi2oheNZqUvsPw6cEZF//+mRiflOgS2k5dStp/frCWmR+jEBg1MAuBSQOTEFg0gUULdm+3aAKbBlaDBUPa+EPcUVEURTlRVJBznAT0AN989yVJeka7AKdFJv0oEbksWDaPq2ff0Ok9pJS8+cFf+Xjee4RoYUTqsTRSzet7XuE/c//NE/e9+IN2Wp0oQgjGj57MR1++Swjh9GcEVuzUU00xuQTwM2v6xYwZNoHPv/6Ibbs3IwQMHTCSy86/ihGDRwPB1wMOzLwIQAQCaK4AuNwgPXjYTnLAwYjwjrk9LffQCW7g0gHZJuhpuW/LUpYmUIX1FEVRTmEqyDlOXC4nruYmwum8Ho1RmAglnPLK0i7vsXjFN3w87z36MJR0vU/rMpJbushpXMEjz9/LP57991EXBjxRvF4PXy/6gliSGMr41u3psSSRLHuxViwiEAgwbsRExo2Y2OV9BvQZgiY0KmQxaWR3OF9JsF/UgD6Du7yHEAIDwdkZRVEU5fTWM1t8jtLcuXMZN24cNpuNqKgoZs+e3dND6pLVYsWgGXDj7PS8lBI3zYSFdJ5AJaXk47nvEyeSyRB92+XJWIWdgfpoKqrLWLVh+XEZ/5Hw+bx8t3IB/3j3Zd784G9s3rGRtvnsK9YvpdHloA9DO9TfsYtQ0mQfvluxAFez65DPExMVy6Sx08jTduCQde3OOWQdudp2JoyeckKLBSqKoignr5N7CqCNjz/+mJtvvpknnniC6dOn4/f72bp1a08Pq0smk5mJY6awfu1aUvXeHRpuVlBMs+5k6viZnT6+ydVEfvE+BjO20yq6YSKSMC2CnO3rmThmyvH4Erpl267NPP7SAzQ01hFqCCdAgP/MfZfsjH48eOeTxEbHUViSh90QSojeeQ5RNPHk+rZRWV1GZlrvQz7f7dffTWl5MWsKFhJLEiEyDKdopJoyeqf24Zc3/vZ4fJmKoijKKeiUCHL8fj933HEHzz77LDfddFPr8YEDB/bgqA7vykt+xqoNy9kkl5MthxAhoglIP2UUsFdsYdzwSfTJ6t/pY6Ue3OcjDjHZJtCQ8ofsB/phSsqLePDZuwnxhTOecwnRw5FSUkclO4o28MDTd/Ly429itVjxSS+6DKAJQ4f7eHEDYLXaDvucoSFhPPvgK3y3cgHzl8yluq6KuKhYrp7yM6aOn3nUjUsVRVGU088pEeRs2LCBkpISNE1jxIgRlJeXM3z4cJ599lkGD+46/6KnZab15k/3vsAzrz7K2rpFmIWFAH50qTPlrBn86sZ7u3xsWGg4yfGpVFZ1bNQJ4JSNOAJ1DOgz5Hh+CYf02dcfIvyCoXICxv0zVUIIoklgqD6e1WULWL52CRNGT+Gtj/5OOUUkk9nuHlJKisklOT6VhNiOVZY7YzZbOHfKhZw7pfM2C4qiKIoCp0iQk5ubC8AjjzzCCy+8QGZmJs8//zxTp05l9+7dREd3ntzr8XjweDytnzscjhMy3rYG9RvKG//7Ies3r6agOA+L2cLYERNIjEs+5OOEEFw6aw5/fftF4kgiUaS3nvNJLzu19YRaw9m4ZQ1vf/QPBIKhg0Zyycwr6J3Z93h/WQAsW72YBD29NcBpK0xEEiliWb52MVPHz2Di6KmsXr8cTWrEk4omNLzSQy7bqaUCKuHdT9/g2stv6uSZFEVRFOXI9Wji8X333YcQ4pAfO3fuRN+/dPOHP/yBK664glGjRvHmm28ihOCjjz7q8v5PPvkkERERrR9paWldXns8GTQDY4dPYM5F13DJuT86bIDT4oLps5k+8Vy2soZ14jv2yW3skBtYoX2N09BIk8vBqlUrsNWGY60NY8XyJdzx8P/w7ZK5x/krCmr2NGPB2uV5s25pTSa+65bfM2LoGLayhqV8ySo5n2XMpYQ8+jGc3gzmvc/+yYp135+QsSuKoiinvx6dybn77ru5/vrrD3lNVlYWZWVlQPscHIvFQlZWFoWFhV0+9v777+euu+5q/dzhcPRYoHM0NE3jrp//gQmjz2bugs/IL8rFarEypf8MFiydRyq96acfqFCcrQ9hF5t46Y2n6dt7AJmpWYd5hh8mJTGN+pJq0unT4ZwudRxaHeOSzwKCxQfHjZzI2pwVxJOKAJLIIIkMzCKYR1MnKvl03vtMGH32MR1nfnEun339ASvWfo/H6yEjpRcXzryMGZNmnfTb7xVFUZSj16M/4ePi4oiLizvsdaNGjcJisbBr1y4mTZoEgM/nIz8/n4yMjC4fZ7FYsFhO7URUIQTjR53N+FEH3vj//H9PYdNC6KsPa7e1XBMa/eRwakQ5cxd8wu3X33Ncx3bhjNm8+s8XqKWSaNF+23YBu3DrLma1qai8ZcdGorRYBsiRnd4vXk9h+96NBAL+YxZ8rN+8mj++eD9G3UyinoYJC3VFVbz0+jOs3rCcP/z6jyrQURRFOU2dEj/dw8PDufXWW3n44YdJS0sjIyODZ599FoA5c+b08OhOvK07c4jVkzrUnIFgoBOjJ7Jl+6bjPo5zz76I5WuWkLNjOYkygziSCeCnXBRSRSk/mX19u9kkiaTT/fCtjm2FPleziyf/8hCRgVgGy7Mw7N/ZlU4fqiljzcbl/Hf+x1w268pj+ryKoijKyeGUKQb47LPPctVVV/HTn/6UMWPGUFBQwKJFi4iKiurpofUAsT9g6Io85k02O2M0Gnnk7qe5avZ1NIXVsYllbGEVtiQzd9/yhw5JxIP6DqNer8YtOy/6V6WV0C9r4DGbWVmycj5udzP95IjWAKdFrEgigTS+/PaTdoULFUVRlNPHKTGTA2AymXjuued47rnnenooPW7EkNEsXPw1uj6sw2xOQAao1sqYNeTiEzIWk8nM1ZfdwJWX/JSaumoMBiPRkTGdBlnTJ57H2x/9ne3udQyV4zGKYH8pKSVF7KVGVnDz+b84ZmPbnbeDCEM0Vr3zjuRxJLGlejVNzkbCQjuvPK0oiqKcuk6ZmRzlgItmXI4XLztYR0AGWo8HZIDtYh1+fFx4zuwTOqb/b+/eY6I6GzSAPzMoDEwBEbnLKIgpXlC5CBVsFXUVom6tVWM+mgK6Y1Gs11RtbUFXhV7QEFFBNEFrMF5i1dba9mtpleraKBfZUiNekJaixfarAYFPLjPv/uEyu/OhFlpmXjk8v2QS55wzZ553MMPDO2fOsbHpA/cBnnB1GfDYWSQHewekrExHU9/7OK/+DFdEMa6L/8ZFdQGuoQyzY+djfHh0t2XqY9MXBrQ9dn3b/67r06fHdH0iIuoCvrv3QDqfwXgj6R1k5Gx6eNCv0ROAwD/Uv8CoMmDN4lT4eOn+cD8yjAwcg5z3DuDTguO4UHQO/2ytR9DgUZjxb7Mxenhotz5X6KgInP76BOrwO5xV5udSEkKgVl2N4f5BsNc8eqaHiIh6NpacHuqF5yYjwO9ZnC44gbIfSqBSAc+NeAnTJ82Cl4eP7HhP5ObqgYR5SUiYl2TR5xk7Zhx8PHS48usljDKOg1b18CMpgzA8PAmh8S6SZ6y0aAYiIpKHJacH8/YYiP/421LZMZ5aNmob/OeaD7A+fSUu/PZ3uMANfYQt6tX/QIuxGQvmL8FzIeNlxyQiIgthySFF83TzRva7H+LcpW/wX0WFeND8AH6+zyMm+t/h49lzTgxJRERdx5JDimdra4dJUTGYFBUjOwoREVkRv11FREREisSSQ0RERIrEkkNERESKxJJDREREisSSQ0RERIrEkkNERESKxJJDREREisSSQ0RERIrEkkNERESKxJJDREREisSSQ0RERIrEkkNERESKxJJDREREisSSQ0RERIrEkkNERESKxJJDREREisSSQ0RERIrUR3YAaxJCAACa/tkoOQkRERF1Vvvv7fbf452lEl19RA/2888/w9fXV3YMIiIi+hOqq6sxcODATm/fq0qO0WjE7du34ejoCJVKJTtOl9TX18PX1xfV1dVwcnKSHcfqOH6On+Pn+Dn+3j3+K1eu4Nlnn4Va3fkjbXrVx1VqtbpLDfBp5OTk1Cv/k7fj+Dl+jp/j7616+/h9fHy6VHAAHnhMRERECsWSQ0RERIrEktND2NnZITU1FXZ2drKjSMHxc/wcP8fP8XP8XdWrDjwmIiKi3oMzOURERKRILDlERESkSCw5REREpEgsOURERKRILDk92KeffoqIiAjY29vDxcUFs2bNkh3J6pqbmzFmzBioVCpcvnxZdhyrqKqqwsKFC+Hn5wd7e3sMGTIEqampaGlpkR3NYnbu3InBgwdDo9EgIiICFy9elB3JKtLT0zF27Fg4OjrC3d0ds2bNQkVFhexY0rz77rtQqVRYsWKF7ChWU1NTg1deeQWurq6wt7dHUFAQioqKZMeyCoPBgHfeecfsvW7Tpk1dun5VrzrjsZIcO3YMer0eaWlpmDRpEtra2lBeXi47ltWtWbMG3t7eKCsrkx3Faq5evQqj0Yjdu3cjICAA5eXl0Ov1aGxsREZGhux43e7w4cNYtWoVcnJyEBERgczMTEybNg0VFRVwd3eXHc+izp49i+TkZIwdOxZtbW146623MHXqVFy5cgVarVZ2PKu6dOkSdu/ejVGjRsmOYjX37t1DVFQUoqOj8dlnn8HNzQ3Xr1+Hi4uL7GhW8d577yE7Oxv79+/HiBEjUFRUhMTERDg7O2PZsmWd24mgHqe1tVX4+PiIvXv3yo4i1enTp0VgYKD44YcfBABRWloqO5I077//vvDz85MdwyLCw8NFcnKy6b7BYBDe3t4iPT1dYio57t69KwCIs2fPyo5iVffv3xdDhw4VX375pZgwYYJYvny57EhWsXbtWjF+/HjZMaSZPn26WLBggdmy2bNni7i4uE7vgx9X9UAlJSWoqamBWq1GcHAwvLy8EBsb26tmcmpra6HX63HgwAE4ODjIjiNdXV0d+vfvLztGt2tpaUFxcTGmTJliWqZWqzFlyhRcuHBBYjI56urqAECRP+snSU5OxvTp083+H/QGH3/8McLCwjB37ly4u7sjODgYe/bskR3LaiIjI1FQUIBr164BAMrKynDu3DnExsZ2eh8sOT1QZWUlAGDDhg14++23cerUKbi4uGDixIn4/fffJaezPCEEEhISkJSUhLCwMNlxpLtx4waysrLw2muvyY7S7X777TcYDAZ4eHiYLffw8MAvv/wiKZUcRqMRK1asQFRUFEaOHCk7jtUcOnQIJSUlSE9Plx3F6iorK5GdnY2hQ4fiiy++wOLFi7Fs2TLs379fdjSrWLduHebPn4/AwED07dsXwcHBWLFiBeLi4jq9D5acp8i6deugUqmeeGs/HgMA1q9fj5dffhmhoaHIy8uDSqXC0aNHJY/iz+vs+LOysnD//n28+eabsiN3q86O//+rqalBTEwM5s6dC71eLyk5WUNycjLKy8tx6NAh2VGsprq6GsuXL0d+fj40Go3sOFZnNBoREhKCtLQ0BAcHY9GiRdDr9cjJyZEdzSqOHDmC/Px8HDx4ECUlJdi/fz8yMjK6VPJ44PFTZPXq1UhISHjiNv7+/rhz5w4AYPjw4abldnZ28Pf3x08//WTJiBbV2fF//fXXuHDhQofrmISFhSEuLq7H/pXT2fG3u337NqKjoxEZGYnc3FwLp5NjwIABsLGxQW1trdny2tpaeHp6SkplfUuXLsWpU6dQWFiIgQMHyo5jNcXFxbh79y5CQkJMywwGAwoLC7Fjxw40NzfDxsZGYkLL8vLyMnufB4Bhw4bh2LFjkhJZ1xtvvGGazQGAoKAg/Pjjj0hPT0d8fHyn9sGS8xRxc3ODm5vbH24XGhoKOzs7VFRUYPz48QCA1tZWVFVVYdCgQZaOaTGdHf/27duxefNm0/3bt29j2rRpOHz4MCIiIiwZ0aI6O37g4QxOdHS0aRZPrVbmpKytrS1CQ0NRUFBgOkWC0WhEQUEBli5dKjecFQgh8Prrr+P48eM4c+YM/Pz8ZEeyqsmTJ+P77783W5aYmIjAwECsXbtW0QUHAKKiojqcMuDatWs9+n2+K5qamjq8t9nY2Jg+zegMlpweyMnJCUlJSUhNTYWvry8GDRqEDz74AAAwd+5cyeksT6fTmd1/5plnAABDhgzpFX/l1tTUYOLEiRg0aBAyMjLw66+/mtYpcXZj1apViI+PR1hYGMLDw5GZmYnGxkYkJibKjmZxycnJOHjwIE6ePAlHR0fTcUjOzs6wt7eXnM7yHB0dOxx/pNVq4erq2iuOS1q5ciUiIyORlpaGefPm4eLFi8jNzVXszO2/mjlzJrZs2QKdTocRI0agtLQU27Ztw4IFCzq/k+79whdZS0tLi1i9erVwd3cXjo6OYsqUKaK8vFx2LClu3brVq75CnpeXJwA88qZUWVlZQqfTCVtbWxEeHi6+++472ZGs4nE/57y8PNnRpOlNXyEXQohPPvlEjBw5UtjZ2YnAwECRm5srO5LV1NfXi+XLlwudTic0Go3w9/cX69evF83NzZ3eh0qILpw6kIiIiKiHUOYH+URERNTrseQQERGRIrHkEBERkSKx5BAREZEiseQQERGRIrHkEBERkSKx5BAREZEiseQQERGRIrHkEFG3SUhIeOTV02/cuNEt+9+3bx/69evXLfv6swoLCzFz5kx4e3tDpVLhxIkTUvMQ0eOx5BBRt4qJicGdO3fMbk/jhSVbW1v/1OMaGxsxevRo7Ny5s5sTEVF3Y8khom5lZ2cHT09Ps1v71aJPnjyJkJAQaDQa+Pv7Y+PGjWhrazM9dtu2bQgKCoJWq4Wvry+WLFmChoYGAMCZM2eQmJiIuro60wzRhg0bAOCRMyr9+vXDvn37AABVVVVQqVQ4fPgwJkyYAI1Gg/z8fADA3r17MWzYMGg0GgQGBmLXrl1PHF9sbCw2b96Ml156qRteLSKyJF6FnIis4ttvv8Wrr76K7du34/nnn8fNmzexaNEiAEBqaioAQK1WY/v27fDz80NlZSWWLFmCNWvWYNeuXYiMjERmZiZSUlJQUVEB4P+uQN9Z69atw9atWxEcHGwqOikpKdixYweCg4NRWloKvV4PrVaL+Pj47n0BiMj6LHb5UCLqdeLj44WNjY3QarWm25w5c4QQQkyePFmkpaWZbX/gwAHh5eX12P0dPXpUuLq6mu7n5eUJZ2fnDtsBEMePHzdb5uzsbLpad/uV6jMzM822GTJkiDh48KDZsk2bNolx48b90VAf+7xE9PTgTA4Rdavo6GhkZ2eb7mu1WgBAWVkZzp8/jy1btpjWGQwGPHjwAE1NTXBwcMBXX32F9PR0XL16FfX19WhrazNb/1eFhYWZ/t3Y2IibN29i4cKF0Ov1puVtbW1wdnb+y89FRPKx5BBRt9JqtQgICOiwvKGhARs3bsTs2bM7rNNoNKiqqsKMGTOwePFibNmyBf3798e5c+ewcOFCtLS0PLHkqFQqCCHMlj3qwOL2wtWeBwD27NmDiIgIs+3ajyEiop6NJYeIrCIkJAQVFRWPLEAAUFxcDKPRiK1bt0KtfvidiCNHjphtY2trC4PB0OGxbm5uuHPnjun+9evX0dTU9MQ8Hh4e8Pb2RmVlJeLi4ro6HCLqAVhyiMgqUlJSMGPGDOh0OsyZMwdqtRplZWUoLy/H5s2bERAQgNbWVmRlZWHmzJk4f/48cnJyzPYxePBgNDQ0oKCgAKNHj4aDgwMcHBwwadIk7NixA+PGjYPBYMDatWvRt2/fP8y0ceNGLFu2DM7OzoiJiUFzczOKiopw7949rFq16pGPaWhoMDvvz61bt3D58mX0798fOp3ur71IRNS9ZB8URETKER8fL1588cXHrv/8889FZGSksLe3F05OTiI8PFzk5uaa1m/btk14eXkJe3t7MW3aNPHhhx8KAOLevXumbZKSkoSrq6sAIFJTU4UQQtTU1IipU6cKrVYrhg4dKk6fPv3IA49LS0s7ZMrPzxdjxowRtra2wsXFRbzwwgvio48+euwYvvnmGwGgwy0+Pr4LrxQRWYNKiH/5IJuIiIhIAXgyQCIiIlIklhwiIiJSJJYcIiIiUiSWHCIiIlIklhwiIiJSJJYcIiIiUiSWHCIiIlIklhwiIiJSJJYcIiIiUiSWHCIiIlIklhwiIiJSJJYcIiIiUqT/ASBsPuLeCsk2AAAAAElFTkSuQmCC\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"# Linear Discriminant Analysis (LDA)" | |
], | |
"metadata": { | |
"id": "HOtnsoUsDlQF" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from sklearn.preprocessing import StandardScaler\n", | |
"\n", | |
"\n", | |
"class LDA:\n", | |
" def __init__(self, n_components):\n", | |
" self.n_components = n_components\n", | |
" self.linear_discriminants = None\n", | |
" self.pi = None # Store the prior probabilities\n", | |
" self.means = None # Store the class means\n", | |
" self.covariance = None # Store the common covariance matrix\n", | |
"\n", | |
" def fit(self, X, y):\n", | |
" n_features = X.shape[1]\n", | |
" class_labels = np.unique(y)\n", | |
" n_classes = len(class_labels)\n", | |
"\n", | |
" # Calculate MLEs for priors, means, and covariance matrix\n", | |
" self.pi = np.zeros(n_classes)\n", | |
" self.means = np.zeros((n_classes, n_features))\n", | |
" self.covariance = np.zeros((n_features, n_features))\n", | |
" Sw = np.zeros((n_features, n_features))\n", | |
"\n", | |
" for i, c in enumerate(class_labels):\n", | |
" X_c = X[y == c]\n", | |
" n_c = X_c.shape[0]\n", | |
"\n", | |
" # MLE for prior\n", | |
" self.pi[i] = n_c / X.shape[0]\n", | |
"\n", | |
" # MLE for class mean\n", | |
" self.means[i, :] = np.mean(X_c, axis=0)\n", | |
"\n", | |
" # Calculate within-class scatter\n", | |
" Sw += (X_c - self.means[i, :]).T.dot((X_c - self.means[i, :]))\n", | |
"\n", | |
" # MLE for common covariance matrix\n", | |
" self.covariance = Sw / X.shape[0]\n", | |
"\n", | |
" def predict(self, X):\n", | |
" \"\"\"\n", | |
" Predict the class labels for the given data.\n", | |
" \"\"\"\n", | |
" if self.means is None or self.covariance is None or self.pi is None:\n", | |
" raise Exception(\"Fit the model before making predictions.\")\n", | |
"\n", | |
" n_samples = X.shape[0]\n", | |
" predictions = np.zeros(n_samples)\n", | |
"\n", | |
" for i in range(n_samples):\n", | |
" x = X[i]\n", | |
" posteriors = []\n", | |
"\n", | |
" for k in range(len(self.pi)):\n", | |
" # Calculate the discriminant function using the MLEs\n", | |
" prior = np.log(self.pi[k])\n", | |
" inv_covariance = np.linalg.inv(self.covariance)\n", | |
" mean_diff = x - self.means[k]\n", | |
" likelihood = -0.5 * mean_diff.T @ inv_covariance @ mean_diff\n", | |
" posterior = prior + likelihood # No need to compute evidence since it's constant\n", | |
" posteriors.append(posterior)\n", | |
"\n", | |
" predictions[i] = np.argmax(posteriors)\n", | |
"\n", | |
" return predictions\n", | |
"\n", | |
" def visualize_classes(self, X, y, title=\"Linear Discriminant Analysis Decision Boundary\"):\n", | |
" \"\"\"\n", | |
" Visualize the decision boundary and class distributions.\n", | |
" Parameters\n", | |
" ----------\n", | |
" X : array-like, shape (n_samples, n_features)\n", | |
" Training vectors, where n_samples is the number of samples\n", | |
" and n_features is the number of features. Only first two features are used.\n", | |
" y : array-like, shape (n_samples,)\n", | |
" Target values.\n", | |
" \"\"\"\n", | |
"\n", | |
" if X.shape[1] != 2:\n", | |
" raise ValueError(\"Visualization is only supported for 2 features.\")\n", | |
"\n", | |
" x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", | |
" y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", | |
" xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", | |
" np.arange(y_min, y_max, 0.1))\n", | |
"\n", | |
" Z = self.predict(np.c_[xx.ravel(), yy.ravel()])\n", | |
" Z = Z.reshape(xx.shape)\n", | |
"\n", | |
" plt.contourf(xx, yy, Z, alpha=0.4)\n", | |
" plt.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k')\n", | |
"\n", | |
" # Plot the Gaussian distributions for each class\n", | |
" for i, c in enumerate(self.pi):\n", | |
" mean = self.means[i]\n", | |
"\n", | |
" # Generate points from the multivariate normal distribution\n", | |
" rv = multivariate_normal(mean, self.covariance)\n", | |
" x_grid, y_grid = np.mgrid[x_min:x_max:0.1, y_min:y_max:0.1]\n", | |
" pos = np.dstack((x_grid, y_grid))\n", | |
" pdf_values = rv.pdf(pos)\n", | |
"\n", | |
" plt.contour(x_grid, y_grid, pdf_values, levels=3, colors=f'C{i}', alpha=0.5)\n", | |
" plt.scatter(mean[0], mean[1], marker='x', color=f'C{i}', s=100)\n", | |
"\n", | |
" plt.title(title)\n", | |
" plt.xlabel(\"Feature 1\")\n", | |
" plt.ylabel(\"Feature 2\")\n", | |
" plt.show()\n", | |
"" | |
], | |
"metadata": { | |
"id": "YcUpznMY3w2E" | |
}, | |
"execution_count": 10, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Generate some sample data\n", | |
"rng = np.random.RandomState(42)\n", | |
"\n", | |
"# Create and train the model\n", | |
"model = LDA(n_components=2)\n", | |
"model.fit(X, y)\n", | |
"\n", | |
"# Make predictions\n", | |
"predictions = model.predict(X)\n", | |
"\n", | |
"# Evaluate the model (you can use accuracy_score or other metrics)\n", | |
"from sklearn.metrics import accuracy_score\n", | |
"print(f\"Accuracy: {accuracy_score(y, predictions):.2f}\")" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "ffPx2z19MsK6", | |
"outputId": "67e8ed0b-10c9-4b1b-aa37-12880fcc175c" | |
}, | |
"execution_count": 11, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Accuracy: 1.00\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print('means: ', model.means)\n", | |
"print('shared covariance: ', model.covariance)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "F1N9ufMxOMCW", | |
"outputId": "60b6dc54-3e30-4693-d05c-95e5cb6660d1" | |
}, | |
"execution_count": 12, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"means: [[-3.28294189 -4.09822609]\n", | |
" [ 4.94560614 3.07536632]\n", | |
" [-1.94563711 3.21775145]]\n", | |
"shared covariance: [[1.39293845 0.5435832 ]\n", | |
" [0.5435832 1.66441454]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Visualize the decision boundary and data points\n", | |
"model.visualize_classes(X, y)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 472 | |
}, | |
"id": "fZw1W6OeOJYA", | |
"outputId": "0e08257d-3412-4c2c-c3e9-ce299c5d1d3f" | |
}, | |
"execution_count": 13, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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/R35lurq6Frg+D7N06VIsFgtVqlTh2rVrXLt2jaSkJGrVqpVvt1FB7kmA9evXU7t2bTQaDW5ubnh6ejJt2rR8r+t+Li4utG/fPtfYkoULF+Lv758TIACMHz+ec+fOERgYSM2aNfnmm2/+9se3IPfYk3rwHr969Srnz5/P85ksVaoUQM7n8vr168hkMsqVK/dYr/fpp5+i1+upWbMmJUuW5N133/3bbrewsDAgO4i/n0qlonjx4jn778rvc5Hf3/phPDw8aNasGc2aNaNt27Z8/vnn/P777xw4cIDff//9kXWC7GAjISGBzMzMAr3eg/7uMxgfH4/RaMx3AHR+9dm/fz/NmjXLGTfk6emZM1YxvyAnP3379iU8PJy9e/cC2YFnbGxsTpf+y0zKrnoJFSQzwm634+Xl9dAxFHd/kFJSUmjYsCFOTk6MGjWK4OBgNBoNJ06c4NNPP82Tavs0MwHu9kGXKFHiocd4eXlx6tQptmzZwqZNm9i0aRNz5syhb9++zJs377Ff83Hq/7D3+WHb7z6FPUmZ95/73Xff8dVXXzFw4EBGjx6Nm5sbMpmMDz74IN/U539Sn4e5e9+Ehobmu//GjRsUL178b+twv71799KhQwcaNGjA1KlT8fX1RalUMmfOnFzBy8P07duX5cuXc+DAASpUqMDatWsZPHhwrtaHbt26Ub9+fVatWsXWrVv54YcfGDduHCtXrnxo+vvTvsfud+7cOeRyec6Pm91up0KFCkycODHf4x8MoB9X2bJluXz5MuvXr2fz5s38+eefTJ06lREjRjBy5Mh/VPZd/8b91rRpUwD27NnD//73v8c692EtWw8Oer/radb/+vXrNG3alDJlyjBx4kQCAwNRqVRs3LiRn376qcDfny1btsTb25sFCxbQoEEDFixYgI+PD82aNXvsOr1opCBHkq/g4GC2b99OaGjoI3/Yd+3aRWJiIitXrqRBgwY522/evPmv13H+/PkAf5s9oFKpaN++Pe3bt8dutzN48GBmzJjBV199RYkSJQgODs4zaK8wW7FiBY0bN2bWrFm5tqekpORKxX8cjzNL682bNzlw4ADvvfceDRs2zLXPbrfTp08fFi1axJdffvlYdfjzzz/RaDRs2bIl1xwtc+bMKdD5rVq1wtPTk4ULF1KrVi0MBkO+T7q+vr4MHjyYwYMHExcXR9WqVRkzZswj5/j5u3vsSYSHh7N7927q1KmT05ITHBzM6dOnadq06SP/JsHBwdjtdi5cuEDlypUf63V1Oh3du3ene/fumM1mXnnlFcaMGcPw4cPznSohKCgIyB4Ue3/gajabuXnz5n/yQ2u1WoF7LV/31+lBly5dwsPDI6cbx9XVNU8WGJCnBaqgPD09cXBw4OrVq3n2PVifdevWYTKZWLt2ba4WovuHAxSEXC6nV69ezJ07l3HjxrF69WrefPPNF2Iain9K6q6S5Ktbt27YbDZGjx6dZ5/Vas35Urj7Ibr/KcZsNjN16tR/tX6LFi3i999/p06dOjlPcfm5P+MBQCaTUbFiRYCclNsuXbpw+vTpfDMf/snT5bMil8vz1Hv58uVERkY+cZk6ne5vu4TuutuK88knn9C1a9dc/3Xr1o2GDRs+tIXwUeRyOYIg5HrCvnXrFqtXry7Q+QqFgp49e7Js2TLmzp1LhQoVcu4FyH5yf/Aavby88PPze+Ts2gW5xx5XUlISPXv2xGaz8cUXX+Rs79atG5GRkcycOTPPOUajMacLplOnTshkMkaNGpWnNeBR9/SD16JSqShXrhyiKObJkrqrWbNmqFQqfv7551xlz5o1i9TUVNq2bfv3F/wPrVu3DiAnldrX15fKlSszb968XAHMuXPn2Lp1a655h4KDg0lNTeXMmTM526Kjo/P9PigIuVxOy5YtWb16NeHh4TnbL168yJYtW/IcC7n/JqmpqQUO3O/Xp08fkpOTGTRoEBkZGVJW1R1SS04hN3v27Hz7/99///1/VG7Dhg0ZNGgQ33//PadOnaJFixYolUquXr3K8uXLmTx5Ml27dqVu3bq4urrSr18/hgwZgiAIzJ8//6kGBytWrECv12M2m3NmPN6/fz+VKlVi+fLljzz3jTfeICkpiSZNmhAQEEBYWBhTpkyhcuXKlC1bFoBhw4axYsUKXn31VQYOHEi1atVISkpi7dq1TJ8+/aFzUDyv2rVrx6hRoxgwYAB169bl7NmzLFy4MNdT9uOqVq0aS5cu5aOPPqJGjRro9Xrat2+f77ELFy6kcuXKD+066dChA//73/84ceIEVatWLXAd2rZty8SJE2nVqhW9evUiLi6OX3/9lRIlSuT6gXqUvn378vPPP7Nz507GjRuXa196ejoBAQF07dqVSpUqodfr2b59O0ePHmXChAkPLbMg99ijXLlyhQULFiCKImlpaZw+fZrly5eTkZGRc7139enTh2XLlvH222+zc+dOQkNDsdlsXLp0iWXLluXMoVKiRAm++OILRo8eTf369XnllVdQq9UcPXoUPz8/vv/++3zr0qJFC3x8fAgNDcXb25uLFy/yyy+/0LZt24eOffP09GT48OGMHDmSVq1a0aFDBy5fvszUqVOpUaPGU/+xjYyMZMGCBUD2A9Xp06eZMWMGHh4eubqqfvjhB1q3bk2dOnV4/fXXMRqNTJkyBWdnZ7755puc43r06MGnn35K586dGTJkCAaDgWnTplGqVKm/HdD+MCNHjmTz5s3Ur1+fwYMHY7Vac+Yfuv9ebdGiRU4r4N3gZObMmXh5eREdHf1Yr1mlShXKly+fMzj9cT5bL7RnkNEleQrupnE+7L/bt28/NIVcp9PlKS+/dElRzE77rVatmujg4CA6OjqKFSpUED/55BMxKioq55j9+/eLtWvXFh0cHEQ/Pz/xk08+yUmLfjCt+u/SU/Or093/NBqNGBAQILZr106cPXt2rvT0+6/v/nTQFStWiC1atBC9vLxElUolFilSRBw0aJAYHR2d67zExETxvffeE/39/UWVSiUGBASI/fr1y0lLvZtuvXz58jyv+bAU8vyuNSgoSGzbtm2e7TyQSvywFPL8zn0wDTgrK0scOnSo6OvrKzo4OIihoaHiwYMH8xz3sGvK777JyMgQe/XqJbq4uIjAQ9PJjx8/LgLiV199le9+URTFW7duiYD44YcfiqL4ePfkrFmzxJIlS4pqtVosU6aMOGfOnHyPezCF/H4hISGiTCYTIyIicm03mUzisGHDxEqVKomOjo6iTqcTK1WqJE6dOjXXcU96j+Xn/vtbJpOJLi4uYpUqVcT3339fPH/+fL7nmM1mcdy4cWJISIioVqtFV1dXsVq1auLIkSPF1NTUXMfOnj1brFKlSs5xDRs2FLdt25az/8F7YsaMGWKDBg1Ed3d3Ua1Wi8HBweKwYcNylZvfvSmK2SnjZcqUEZVKpejt7S2+8847YnJycq5jHva5eFga94MeTCGXyWSil5eX2LNnz1xp3Xdt375dDA0NFR0cHEQnJyexffv24oULF/Ict3XrVrF8+fKiSqUSS5cuLS5YsOChKeT5pfznd7/t3r1brFatmqhSqcTixYuL06dPz7fMtWvXihUrVhQ1Go1YtGhRcdy4ceLs2bML/Pm/3/jx40VA/O677x553MtEEMVC2B4vkUgkT6hKlSq4ubnx119/PeuqSCRP1eTJk/nwww+5detWvllgLyNpTI5EInlpHDt2jFOnTtG3b99nXRWJ5KkSRZFZs2bRsGFDKcC5jzQmRyKRvPDOnTvH8ePHmTBhAr6+vnmWQJBICqvMzEzWrl3Lzp07OXv2bL7rw73MpCBHIpG88FasWMGoUaMoXbo0ixcvfuqrxkskz0p8fDy9evXCxcWFzz//nA4dOjzrKj1XpDE5EolEIpFIXkjSmByJRCKRSCQvJCnIkUgkEolE8kJ6qcbk2O12oqKicHR0fKxp6iUSiUQikTw7oiiSnp6On59frvXm/s5LFeRERUX94wXsJBKJRCKRPBu3b98mICCgwMcXmiDHZrPxzTffsGDBAmJiYvDz86N///58+eWXBW6VuTst+blLk3F0fHqrYUskEsnLKMJwgShDIttiPEk1FsEdX6q7FvwHSCIpKGNmJu+2afHQ5UUeptAEOePGjWPatGnMmzePkJAQjh07xoABA3B2dmbIkCEFKuNuMOTo6ICTkxTkSCQSyZMKzzxHijydc/bS6GSVaBIoTUAn+fc97lCTQhPkHDhwgI4dO+asaFu0aFEWL17MkSNHnnHNJBKJ5OUUJ1bFZvd81tWQSB6q0GRX1a1bl7/++osrV64AcPr0afbt20fr1q2fcc0kEolEIpE8jwpNS85nn31GWloaZcqUQS6XY7PZGDNmDL17937oOSaTCZPJlPPvtLS0/6KqEolEIpFIngOFpiVn2bJlLFy4kEWLFnHixAnmzZvHjz/+yLx58x56zvfff4+zs3POf1JmlUQikUgkL49Cs6xDYGAgn332Ge+++27Otm+//ZYFCxZw6dKlfM/JryUnMDCQsMjfpIHHEolE8oTCM88RYUjgSGoxbiR44oEftdykgceSf48hI4OBDUNJTU3FycmpwOcVmu4qg8GQZwIguVyO3W5/6DlqtRq1Wv1vV00ikUheGncDnE1RXqQapQBH8nwrNEFO+/btGTNmDEWKFCEkJISTJ08yceJEBg4c+KyrJpFIJC+F+wMcpbEubaXgRvKcKzRBzpQpU/jqq68YPHgwcXFx+Pn5MWjQIEaMGPGsqyaRSCQvjTixKqlGhRTgSAqFQhPkODo6MmnSJCZNmvSsqyKRSCQSiaQQKDTZVRKJRCKRSCSPQwpyJBKJRCKRvJCkIEcikUgkf+vuoONbacnPuioSSYEVmjE5EolEInk28ksbl0gKAynIkUgkzx2bzc6lS5GYsiwEB3vj7KJ71lV6aYVnnuN0UjhHkopKaeOSQkcKciQSyXNDFEXmztnJ5IlrCQtLBECjUfBqt1C+GdUdN3fHZ1zDl9N1UwhKYyVp0j9JoSONyZFIJM+N7779k4/en0Pdqma2Lffn2NZAvvrQmY3r99Ou9WhSUzKfdRUlEkkhIgU5EonkuXD9Wgw/jl/DqE/cWTDVhyb1tFSpoOGzIW7sWe1PeFgcv0zZ9KyrKZFIChEpyJFIJM+FBfN34+aqYOg7Lnn2lSmpom83PfPn7aCQrCkskUieA1KQI5FIngtht+KpFKJCo8n/a6lWVQ2xselkZVn+45q9vO5mVUkkhZU08FgikTw2m83Ogf2XiIpKxsvLifoNyqFQyP9Rmc4uOs6csCGKIoIg5NkfdtuCg4MStVr62vov5E0bl0gKH+nbQiKRPJaNG07w+ad/5GQ/Afj5OTNiZE+69wh94nK7vlqbubN3sH5bJu1b6HPty8i0M2tRBq90qY1MJjVA/9uktHHJi0L6tpBIJAW2ZfMp+vSaRLkSWexbF0DGjWCObgkktLqNt9+czpLF+5647LqhZWjSJIQ+78Yxe3EqWVl2RFHkyMksWveMJjlNYMgH7Z7i1UgeJsKQwBVjZ5TGulLauKRQk4IciURSIKIoMuKLBTSt78Caeb7Uqe6Ag4OMqhU1LJ7uQ4/Oer75ahEWi/WJyhcEgbkL3qdJsyq8+VEcHuVu4hVyizptbhMZ58Cfqz+jVGlppl2JRFJwUneVRCIpkBPHb3DlSixTv/NHLs89ZkYQBD77nxtLVoWzc8c5WrSs/ESv4ejowNz573P9WgxbNp8kK8tC+QpFaNqsInK59EwmkUgejxTkSCSSAomNSQEgpLQq3/3lSqlyHfdPBJfwYfB7rf9xORKJ5OUmPRpJJJIC8fF1BeDsRXO++89dMuc6TlI4hWeee9ZVkEieGinIkUgkBVKlajHKlPFl7JRkbLbcE/KJosh3k5Pw9XWiUeOQZ1RDyT91f9p4WFLys66ORPKPSUGORCIpEEEQ+Pb719h9wEibXlHsOmAgNc3GoeNGugyMZsW6DEaNeQ2lUuoFL4zupo1vivK6kzZeW8qskhR60reRRPICCw9P4NjRa8jlMurULY2Xl/M/Kq9ps4osXjaUzz/9g6ZdInO2BxZxY9bc/rzSpfY/rbLkGbjbgpOdNu4gBTeSF4YU5EgkL6CE+DQ+fH8WG9af4O5ST0qljG7dQxn7Q1/0es0Tl928RSWaNf+RI4ev5sx4XLtOaSn7qZCLE6s+6ypIJE+dFORIJC+YjIwsOrYbQ0JcPNPGe9GlrR6LVWTxynS+/uEAYWFxrFo7/B8twyAIArVql3qKtZZIJJKnTwpyJJIXzII/dnPlSjQntwdSrrQ6Z/sHg1ypVF5Ns66X2bThBO071niGtZRIJJJ/n9S+LJG8YBYv3E2n1rpcAc5djUO11K7uwKKFe55BzSQSieS/JQU5EskLJjY2hfJl8p+wD6B8aSWxMVJ6sCTb3UHHx6MjpLRxyQtH6q6SSF4w3t4unL348B+rs5csePtIE/ZJpNXGJS8+qSVHInnB9HqtIWs2Z3L+sinPvh37DBw+bqRX7wbPoGaS50nutHFptXHJi0kKciSSF0zvPg0pVdqPpl2imT4vhYREG9GxViZMS6ZTvxjqNyhD67ZSurBEShuXvPikIEciecHo9RrWrv+COvUq8b/PE/Auf4OAyjf5cmwynbuEsnjZ0H+UPi6RSCSFhTQmRyJ5Abl7ODJvwfvcvp3AieM3kAkCteuWwtPzn814LJFIJIWJFORIJM8Zo9HM4kV7WbxgN9HRSXh6OtOjVwN692n42DMVBwZ6EBjo8S/VVCKRSJ5vUneVRPIcSU3JpG3LUQz7aC6+7vEM6CYnOCCJLz9fSIsmI4iPT33WVZS8AKS0ccnLQmrJkUieI598/Ae3bkZyeFMgVSvea7W5eMVMs1ej+N/gmSxZ/vEzrKGksJPSxiUvE6klRyJ5TsTGprDyz0N89aFLrgAHoGwpFWM+d2PL5tPcvBH7jGooKezutuBsi2wkpY1LXgpSkCORPCdOHL+B1WqnSzt9vvu73tl++PDV/7JakhfM3bRxKcCRvAykIEcieU4IggCAzZb/fqtVzHWcRCKRSB5NCnIkkudEzZolUKvlLF6Vnu/+xavTkckEQuuV+Y9rJpFIJIVToQpyIiMjee2113B3d8fBwYEKFSpw7NixZ10tieSpcHN3pGfvBoyZnMxfew259h08ZuTL75Pp1LkmAQHuz6iGEolEUrgUmuyq5ORkQkNDady4MZs2bcLT05OrV6/i6iotNCh5cYz5vjc3b8TQottF6tTQUqmckgtXLOw5aKBGjeJMnDzwWVdRUkjdSxuXAUWfdXUkkv9EoQlyxo0bR2BgIHPmzMnZVqxYsWdYI4nk6dNq1axY9SkbN5xg4fzd7D+RiJeXCzNnN6BDxxqoVIXmIyt5jkhp45KXlSCKovisK1EQ5cqVo2XLlkRERLB79278/f0ZPHgwb7755kPPMZlMmEz3VmJOS0sjMDCQsMjfcHJy+C+qLZFInoKrV6JZt/YoBoOJUqX96NCxBhqN6llXq1C4G+Bsi2yEB35SVpWkUDJkZDCwYSipqak4OTkV+LxCMybnxo0bTJs2jZIlS7JlyxbeeecdhgwZwrx58x56zvfff4+zs3POf4GBgf9hjSUSyT9lMJgY2G8KNat9wqQJK1m+eAuD3phOSOn/sWnjiWddvULjuilECnAkL6VC05KjUqmoXr06Bw4cyNk2ZMgQjh49ysGDB/M9R2rJkUjyd+lSJLN//4uzZ26iVitp2aoqvXrXx9lF96yrlkufXj+x86/TTB7jTq/OjqjVMq7eMPPJqEQ2/mVg3cYvqF2n1LOu5nMtPPMcK6MdSUuoJAU5kkLrhW/J8fX1pVy5crm2lS1blvDw8Ieeo1arcXJyyvWfRPKym/rLJurU+Iy1K3dR3DcWvTKcEV8uoma1YZw9G/asq5fj7Jkw1q87wfQfPBjQwxm1OvvrqmRxFctm+hBSRsWEH1Y/20pKJJLnWqEJckJDQ7l8+XKubVeuXCEoKOgZ1UgiKXz+2n6GL4Yv4uPBrtw6FsT8X31Y+4cfN44UJcDbQrdXxnP06DU2bTzBkcNXsdvtz6yuq1YexstDSbcOjnn2KZUCb/d14q/tZ0lNNeRztkQikRSi7KoPP/yQunXr8t1339GtWzeOHDnCb7/9xm+//fasqyaRFBpTp2ykRmUHxn7pnmvmZH9fBUMHO9P3vVhaNBmZs71YMQ9GjOxBp861/vO6pqUZ8PFWoFDkP8NzoJ8CUYSMjCycnbX/ce0Kh7tp45A3UJRIXgaFpiWnRo0arFq1isWLF1O+fHlGjx7NpEmT6N2797OumkRSKNjtdnbtukDvLvo8S0McOGpk4AdxVK2oZs0fvkSeLsauVQGUL2VkQN9fWLZ0/39e3+BgHy5dNRGfYM13/77DRpyc1Hh4SD/g+bmbVbUpyosbCZ7SeBzJS6nQBDkA7dq14+zZs2RlZXHx4sVHpo9LJJLc7HYRu11EpcrbMjJsZAKVyqnYvSqAds31+HgpqF/bgVVzfOneyZEvhy/AZLL8p/Xt1j0UQZDxzY9JPJgfcf2WmRnz0+nZuyFqtfI/rVdhcCB+V07aePa8OLWfdZUkkmeiUAU5EonkyR07eh25HNZsysi1/eIVM4eOZ/HJe245g3vvEgSBrz50Iz4+g21bTv+X1cXdw5Hvx/dh+rxUWvWIYuWGDA4cNTLmpyTqtovEzd2NYZ90+k/rVJhcMXaW0sYlL71CMyZHIpH8M1evRGGzwZZdBuYsSWVAD2cAIqKzW2gql1fne17ZUirUahlRUUn/WV3vGjCwCZ4eTvz4wypefSM7k1KrVfJqt3p8MaIr7lJXlUQieQQpyJFIXhI6vQaA3l0ceePDOGYtTKNNUx1XbpgBuHzNTLEiebt+boZbMJnseHg+mykY2nWoTtv21bgdnkBGZhaBgR44OkrzXEkkkr8nBTkSyQOOHb3GjGlbObD/AqIoUrtOWQa904JatZ/epHORkUksXriHmzficHbR8kqX2lSrHpxnQPDT1LRZRbRaJYF+cv6c7cu0ualMnpmCWg0ebjJ+nJpM84Za5PLcdfjh12ScnTS0al3lX6vb3xEEgSJBns/s9SUSSeEkjcmRSO4ze9ZftGg6kpNHT9C3i4z+r8o5d+oUrZqPZsa0LU/lNSb/tJ5KIR8weeJqblw+zrpVO2neZCQ9Xp1ARkbWU3mN/Dg7a3l7cGvG/5rCjTALK+f4Enu+OGd3BdG8oZZd+410HhDN8dNZiKLI1Rtm3h4Wy4w/Uhn+ZVe02vy7syTPl/DMc8+6ChLJc6PQLOvwNKSlpeHs7Cwt6yDJ17lz4TSo+wWDBzgzabQnMll2i4bdLvLp6AQmTk9h555RVK5S7IlfY8nifbzz1gw+ec+Vz993w1Evw2YTWb0pg4EfxNOsRVXm/DEEAKvVxrIl+5kzaztXrkSh1app16Em7wxuRfFg7yd6fZvNzhefLeS3GVvR6+QU8Vdx87YZs1mkQ8caHDl8mYiIlJzjXV21fPZFV94a1PyJr1ny37l/tfFUY1Epq0rywnjSZR2kIEciueODIbPZtmkfN48G5ZmAzmYTKVk7nNCGtfh1+ltPVL4oitSuPoxywZn8Ods3z/7Zi1N586M4Dh0di7u7I506fM/5cxG0aKSlWQMtMXFWFqzIxJAlsHTFJ9QNLf1E9QAID4tn2bIDJMSn4efnRrceofj4uGCz2dm18xwRtxPx8HCkSbOKODhIq30XBgfid5GYZZBWG5e8kKQgpwCkIEfyKKG1P6VB9Ux+HeuV7/6PRsSzfoeSY6cmPlH5V69EU7PaJ6xf4EfrpnkXwszKsuNe5gYyuTJ7ThpRZNU8P9o2u3dsRqadDn2juXBVxpkLk9FopABEkt2CcyKzCNdTPMlMcpACnJeA1WLh5L69RIXdwkGro3qjRrh5PVkLb2HwpEGONPBYIrlDLpNhtjw85jdbRBSKJx/GZjSaAPBwl+e7X6OR4eQow8dL5MJlkV5dHXMFOAB6nYzp4z0pWy+M1auO0KNnvceuhyiKmGxWLHYbVtGOzW7DLooIgoCAgFwQUMoVqGRylDL5vzoYWiKRPL7TB/YzdeQIUhMSUOi02LJMzPlhLE06vcKATz5DoZQmyLxLCnIkkjsaNq7IovlbmTzajlabO5gxmez8ud5Ap641n7j8oKJeODgo2L7bQI3Kmjz7z1wwEZdgY+g7Lnw6OpFOrfX5llMqWEVIaQ3Hj13PN8gRRZEMi4kUk4EUs4EMs4kMi4kMSxZGqwWTzUJBm28FQUCrUKFXqtEp1TirHHBT63DT6NAr1VIAJJH8x66cOc24D4egKVkC/4F9Ufn7Yc/KIv3gEXauXY3VYuGdb0Y962o+N6QgRyK54/U3mjJzxlb6vBfL3J+9cdRnBzqZBjtvfBRHSpqdN9588gG4zs5aur4ayqSZ++naXk/J4ve6mrKy7Az9Oh6lEsb/kj3pnjEr/1BEFEWMWSIKRXaLUKbFRJwxnQRjOvHGDBKzMrDYbX9bH4VMhlyQIxcEUpMzOXjwClcuR2AT7fgEulOlWnGKFPEg02Ii02LKc75GrsRH54SP1hk/nQsuammRTInk37Z8xjRUPt54vdEfQZH9Ey7TaHBu3ABBqWD38pV0Gvg6vkWCnnFNnw9SkCOR3FG0mBez5/2P1/tPIbDKLdo0c0AmCGzYbiDLBDNnv0vJUnkHDD+Or0d2Z/eus1RvEc6brzlTp7qG8Agrvy1IJTzSyuLpvowYl4DZYmX+sjR6dMo7o++uo1lE2QX8G3ix4tox0sx5085lgoCzygEXtRZHlQZHpQadUo1WoUIjV6BWKJEL2UHcrp3nGNpjOhq1SNd2WhwdZWz4M5bJP5zkg0868M4HLe+0BGW3DiWZMkkxGTBazRy+ch2T2YKrq55AD3eKOrpT1MkDN012N5vJZOHsmTCsVjtly/rj7JJ3LJJEIimY9JQUzh46iEePV3MCnPvpa9UgZf0mDmzZTJc3Bz2DGj5/pCBHIrlPm7ZVOXLiB+bN2cm+vdmTAQ58sywDBjZ5KpPR7d9/iYiIJOx2+H1BKj/NSEGhgM5t9Cye7kvl8mqUSujYN5rNOw18NymJYe+6kmYXuJEpcPiGnV//tBLcyh+Hog6kmbMQAFeNDk+NI55aRzw1epzUDjlBzKMkJabTt/ck6tdSsfx3H3R3uunGfSUy/pdkPv9uLTUrB9O6TdVc5y1eso8Jv64h2pCOykOFykNJcCkfmjatiKubHne1juPrr7Jkyk7iY7PXynJwUNCtez1GftsTZ2ep1edpuZs2fjxJRqpRQVu3J8+6e56Josi1c2c5unMHZpOJoFKlqNOiJRqH5+heEkUUNiNKSzoqSwZKSwYKWxZymwmFLQuZ3YIg2hDsNgRAFAREZIgyOTaZGptchVWuwaLUYVY6YlE6YlY5IQp3Wm3T0wFQuLnl+/IypRKlizMZaWn/1RU/96TsKonkP5KakklImSFUrSBj76Esrh0KwtlJjk4r5FoY02YTUQdeQ6aXownQ4FnagWJlNGRk2AmLsOLi4sCgvi2oWKQI3lonvLVOqORP9rzyy88bGT1yKWHHg/DyyFtGaPsIVLog1qz/ImfbbzO28enHf9C5jZ53Bzrj76NgxyEjE5cZMDnpeH1YC/YfuMTZM2HULK+iWzUF5ZzsbNqayQ9TUygWHMD6TV+i0+UdlyQpuPDMc0QYEl6KtPH0lBQmfjKUi8ePoXR2Qq7VkhUTi4NOx3ujx1CtQaMnLtuYmcnhv7aTGBONo4srtZo1w9nNHQC7zUZCTDQIAh4+vshk9z6nMpsJh6xENKZENKZk1OYU1OZUZDbLP73cXERBhkntQpbajRTBkTd6vYW5XhNcWjTLc6wtI4OIr7+l74dDadWj11Otx7MmZVdJJM+5pUv2YzJZ+N/r3uw9FEOGQaRYUO5MK6MNTkSDSwNXnP1U1K+t4dI1C9eum0mPMNGsWgXGft4bd8f8ByU/rn17L9KgtibfAAegW3sdn357BfFO9lVyUgZff7mIdwc6M/lbz5yBx6WCVXRpqaNGq0j2TDzJ4Zs36Pu+J+UrOpAKnFFApwEaWjbRUbdtOHNm7eC9IW2eyjW8zOLEqlw3euLBi5s2Looi4z8cws0b1/F+cwAO5coiyGRYEpNIXr2WCcOGMmrWXEqUr/DYZf+18k/++OlHTEYjSidHrBmZzJv4A+1f64vW0YlNSxeRHBsLQFCQL727taZFw2ros+JQm1Lyr68gYFXoMCv1WJR6rHIHbHI1VoUGu0yJXZDfaZkREEQ7YEdmtyG3m++0+BhRWjJQWTJQWdKQ2SxospLQZCXhAoztXoYLVw6QlOLGDccgwmWu2AUZoiiSsnkbMpmM0FbSZ+suKciRSP4j586GU7m8hjZNdbi5ypizOI2JozwRRYjNggtpMq5lCOw7moXKTYldlLN2UQpZkVnUKl2cD4d3oFHj8k+lLhcvRvDD2NVs3XKKxqEPb9W02wEEvhmxlJMnrhMbk4rVauPLD93yZFZ5eigY8oYTn317ngBfJZM7KrmWaedokowMK+yKk+Hu7ECHLs4s+GOnFORICuTc0SNcPXMan3fewqHMvfXjlO5uePbvQ/QPP7Fm7myG/vjTY5W7f/MmZo4ZhWPtmni1bI7CzRVbZiZpu/exes4sBKBMg0o06VaD4vIMXOJuYT66kBupR6nRsDEgYFHqMWo8yNK4kaVywaxyztW99I+JIkprRnaQY0pCZ4ihbI3axETcxvHgBkoWC8Lm6snFTDX7990g7fgl+n/yGY4uLk/n9V8AUpAjkfxH1BolKal2NBqBIW+4MGpiEu6lHSgR6kSSVUAU4cJVM9s2ptOgTGkmjuiPIdWERqN6qmNYThy/Qaf23+HpBu1b6Nj4VybRsVZ8vXN/HYiiyMKV6dhsNv6Ys4XmDTVEhpnw95E/tOWneiUNNptImZIKFHKBMk4iJfQ2zqcJHE+SkWgW0NZ2Ju58MnZRRCaloD+xCEMCt9IcCUtS4MGL2/1+ePs21J6eaEqXzLNPkMvR1arJ8bXrsVosBZ4fxm63s2TaL+gqlMe9x6s5AbtS60CVltXxdkqgSPRFfJv7IigA9Ig+FUh09mPJ1sOklO1CYN1W2BT/8vsuCFjujM1JdwwiHhACrPi51ePkkikozpxBp7hMMFApwBnfjj1xa1CbNNEOBRiT9zKQghyJ5D/SqnUVfv9tO7sOZtGuvztHlQ78ss+C46kUvNzkxF40cPt4Js3qhDBlxOtoNCocNU/3S1QURd59ezplSsjYvtwPq1WkRO1b9Hk3hhWzfHFxzn4CtdlERk1I4uRZEy0ba1nxuy9arYzxvyQxZlISmQZ7ziDl+10PMwMQHWvP2aaQQSUXkZJ6G3sTZGxKteNW2YVNYWdpHFAGrUKatflx3B2LcyS1GDcSPF/osTgAWUYDMifHh87JJHd2xG63YzGbCxzk3Lx0kfiICHw6tUMAvOzplLXGUNoWh4NowR7iQWqcSHpsEtFBFbglcyVM7oahtJKYtbdIXruHoQ06P8WrLDhRpkBdtBK1P/ud1MR4TLfOECTEUUyXhSCKELmTLLUrsZ7VyNAFwkv+ICEFORLJfyS0YRkqtinGW0sNvNpFQ+vWjtSubuXczlQOr0/i1g0LY8b24p3Brf61SfYOHrjCpUvRbFvuj16XHaSsmuNHh75RBFW7ScdWepwcZWzYnkl4hBUPNxnrF/jlLFbaraMjn3+XyO8LUnn/LddcZZvNIr/OSqNixSKcORPOnoNGGtS5F6RpFVBZbubI0iTqvFaFWEMa62+epmWR8jirX9yWiKfpboCzKcqLVKPnS7EAp3/RYhzYvg270YjMIe99knX1Os6enmi0BW/tzExLQy2H6m5mqpiO4W7PvLdPUHFN58/OczvJ8PDFsWTZnH0CoAouTsStW//kkp4aZ3dPcG+KEbhiycQt5RJuKRfRmJIJithOptaXKO86mNUuz7qqz4wU5Egk/zKr3c6l5GhOJ9zmlY/qs2L5AX7/PRkfsxUPm4WjJ7KwWGDylNfp27/Rv1qXy5cjkcmgUd17Pxb1aztwfk8Qv81PZfWmDC5dM6NzEFDIs1Pb7wY4AEUDlbzdz5lhoxIwGEUG9XXGzVXOiTNZfP5dEuevWFi9ri/fjFjMKwPDmDjSnW4d9KhUAn/tNTD0mySEJCWfd+zAWXMUaWYjG26doUWREDwcns5g6hddnFj1Tqr4ix/gADTq0InlM6aRvHELbq90zPUAYLodQeaxE3QZ8HqBHwzUpmRq62IYWleFS8ppVA6+WAUZN+QeXJR7EyZzIysikqhEK97uHnnOt6WmodVlz/cUefMGW5cv5cLJkwiCQMWatWjetRveAQFP5+Ifg1WpI86zGolu5fFIPIN7ygV0hmhKhK0h1qMaia4hL2WrjpRCLpH8S0RR5HpqPCfiw8i4M2Owk8qBCm7+3DgUxcb1xzEYzZQtF0Cfvg3x9nb51+u0dMl+3n5zOjFni+GZz7iaY6eyqNX6Ns0aOHDpqoWIaCtD3nBh4iiPnB8Rq1Xk09EJ/Px7CqIIarWMrCw7AQEuTP7lLZo0rUBqSiaD357Bxg0nUakEFAoBg8FO+QoB/D77PUqX8cdoNbM1/AKJWRkoZXJaB5XHwyHv5IeSe+4uxLnjxssT5ABsWbaEOeO+x6FkCfS1ayLT6TBeukzmwcMElSjBiBm/P3q+HFFEZ4jCI+kc+sxIAHavX8PluHTCmvbgsjYQc/bgG0SbjdjfZmOOjiHwmy8Q7ksbtyYlE/HtWF4b8gF6Zxemj/oahU6Hunw5sNvJOnseLBbe/348NRo3+Vffk7+jNKfjF3sg53oztT5E+DXCqniO5hV6DFIKuUTyHIk3pnMw5joJxuyJ8LQKFVW9gijh7IVMECjdxifPBHtPy9107/w0a1YRtVrOjD9S+fIj9zz7f5ufio+XnPUL/JHJYOqcVD74Kp7SJZS83c8FgMRkGzfDLYgiiGL2khR6vYqevRvSsFEIAM4uOhYu+YhrV6PZseMcVouVKlWLU7tOqZy6OShUtA4qz7bbF4g1pLHt9gXaFa2Eo0qaP0eSW8tuPXD39mHVnFlcn78IAJ2zM2179OKVN956eIAjijhm3sYz4RQOWQnZ2wSBNH0Q8jbDmfn2UOxnl+PYuAHqwAAs8Qmk795LVlg4ClcXTOG3UQdlj3cy3bxF0tIVuLh7UKxcCKMHvYG+Vg3cu3bOmX3YbjaTsHAJk4d/wsQ/V+Pl/9+36NxlUTkSFtAC19Qr+MQdRmeIIfjWWsICmpOlyfvZf1FJLTkSyVNktJo5FhfG1ZTsuTWUMjmVPAIp5+aLQvaU0krzERWVxNQpm1m2dC8JCRkEBLjSu08jBr3dEhfX3EspfPHZAn6bsZVJoz0Y2NMJtVpGeoadSb8l880PSfw0yoMhb94bb9NzUDQnz5m4sDeI1DQ7ddreJiXNzoiP3GjbTEd6pp25S9KYPDOFnr3q88u0tx6r7mablQ23zpJsysRVraVN0Yqon3Bywxfdy9qSc7/UpETMJhOuHp4PH2gsiugzb+OdcBJNViIAdpmCZOdSJLqGYFFltxjevn6NRT9P5uT+vdkRO1CqUmWadH6FVbN/JzY8HJWbG4gi5uRkfIsVY9iESaybN5f9e3bh99VnCPLcn2u72Uzk19/S+tVu9B7y4b/3RjwGlTmVIpF/oTalYJcpuO3XmAx94LOu1mN50pYcKciRSJ4CURS5mhrH0dibmGxWAEo4e1Hdu+i/nj105XIU7dt8i9VipH93PSWKqTh1LouFf2bi5+/Bhi1f4enpnHO81Wrjo/fnMP+P3bi5Kgj0U3D1hoksk8jwIW6M/CT3HDgbtmfSoU8UHw924fDxLI6dNnFqRxFKFMt9Xb8vTGXQx3H8tWskVasVf6xryLCYWH/zNAarmWJOHjTyLy2tcJ6PA/G7crKqnpcgJy05mf2bNxIfHYWjiyuhLVs9tRaMzPQ0Tu7dS2ZGOj4BgVSoVRuZ/NEPC1pDLN4Jx9Aash807DIFSa7lSHANeWjKd0pCAolxsTi6uODl5599ns3GqQP7uXjyOAICIdVrUKF2HWQyGe+2a42ldAncO3fIt7z4hUvwyDAwdv7if3D1T5fMZqJI5A50hmhEQcZt/yak6wtPVp4U5BSAFOS8eM6dC2f1ysOkpRkpUcKHbt1D87Rc/NvSzEb2R18jOjMVADeNjjo+wXhrC/5BfFKiKNKs0QiM6dHsWOmHq5uCNAtkWAUuhlkY9Hki5SqXZMjQdtiyZ/ZDLsiQywTiIlPZt+MCB3ddJvJaFEdX+1EsMO+T8V97DbToFomjoxqTyUz/7o5MG++d5zibTaRErXCata7PhJ/6P/a1xBnS2BB2FlEUaeBfihLOXo9dxovqeU0b37BwPounTMaOiMrdHUtKKjaTiWZdujJg2GfI81lE8u+IosjF48eYPe57Im/dRLTbQSYDux13X1/e+mIElerUzXOe0pyOT/wRnNLDssuRyUl0KUeCWwVsiqfbBTq4bSts5Urh1rF9vvvjFy3FPS2DcQuWPNXX/acE0YZ/9B6c024iCjLCAlqQqfN71tUqEGlMjuSlYjCYePvNaaxbexwPdyXengrmzs7imxFLGPdDX/r0a/Sv10EURS4lx3A07iZWux2FTEZljyKUd/f/Tya5M9us7Dp6gUuZcQz/0pdtmWrSUyDnqUWlpnEvN7btjuD47Vvo9Q980TtAmbZFkZVQsWqlgXnhCiogw0sDgVoRfwcRpQxWb8rAy8uRsxcn4+0+kMrl8//BkMsFKoYoiYxIfKLr8dI6UdkjkJPx4RyOuUGAzhWNomDznrzInte08V1rVzN/4o84NWqAS/OmyPU67GYz6QcO89fKP1Gp1PQdOuyxyhRFkfk//cjGhQsAcG7WBKcGoSicnTGFhZO8YTPjPvgfI6bPpEyV7DFtMrsFj8TTeCSfR7DbEAWBFOdSxLlXxqr8dx54SlWowLFjR3Ft3zbXwGQAu8VC1vkLhHR8NvPoPIooyInwbYgg2nFKD6NI1F9cL9L+hU4xl4IcSaH03ju/sWP7KeZN8aZ7R0eUSoHYeCtfjU1kyHuz8PB0+tcG9gIYLCb2Rl8jMiMZAF+dM6G+JXBS/XsthHZRJN6YTmRGMhEZySRmZXDi+g0cy+lxLqoh7c66gGoZ6JUiejm4hchZ9VsmuiQF1YsXBcAm2rGJdkw2KwaLGZcKWv7acpp12w04dXEkziRwLlVAIUBKeBbzd5p4e2BLVColHh46rt4w51s/URS5ct1KzbpP3oJV0SOAsPREkrIyOZUQTm2f4Ccu60VyJLUYSmMl2j4HrTeQ3ZWzfOYMdFUq5eqykalUODeqj91kYsvypXQa+DpOrvmvmJ2fvRvWZwc4MhkuLZvh2qpFzj51UBG8B71OzKRfWDrtV77+bRaOGeH4xh5Eacme5yZD50eMVy1M6txzOBkyMrh65jR2u51iZcvh4v7kA28tZjNhV69iTU4mafU63Dq1zwl0RJuNhKUrsBuzaN6129+Wc3j7Ni6fPoUgEyhfoybVGjR6otavxyLIiPBtSFHbFrSGWAKjdnIjqD2i7MUMB17Mq5K80C5fimTVyiPMmuTNa13v/aB6eyqY8aMXN8Kt/Dhu1b8W5ISnJ7I36iommxW5IKO6d1HKufr+K2NI7KJIrCGNG2nx3EpLxPTACscOggrj7Syq6q0Eugi4qcBBfm86jNPJFjLOZ1BG701Fj4ePkyj2lgtde45n/K4UmrVzROWt5mqUjWs3LZTrXIKgVwI4nXCbV3vWZ96C7Qx71xVvz9xfH2s2Z3LluokJU+o98pquX4thxfIDJCZmEBDgTveeoTnp83JBRk3vYmwOO8fF5BjKuvpJEwU+h25evkRiVBQ+XTrmu9+pXh1SNm3h+J7dNH6MFo31C+ej9PHBEh+PU4O895Egl+PYsD7hSxbhcmEV/rLsh4yIuBRmbbvChj1nsYsipStWonXP3pSvUZPFv0xm+8o/MRuNAMgUCuo0b8GAYZ8hk8u5dPIEVouZoFJlCjS/zcFtW4i+dRPnJo1I3bELw9lzaCtWALsd85kzaLLSaNy2OcU9tQiGGERBhijIscsUWOUa7DIVV8+d5YehH5KWmIDGzxfRbmfrsqV4+gfw2eQp+BUtRsztcMxZWXj6+aPVP905pMQ7g4+Db61GY0rGN+4QUT6P/twWVlKQIyl01q87jpOjnJ6d8n7wBUHg7X5OdH/zFrdvJxAYmHcyrydlE+2ciAvjbGL2vBPuGj0N/Evhqn76806km7O4nBLDtZQ4DNZ7LScquQJ/nQsBelf8dC6kOJdj9uCNHN+kps7rLnnKmbc0DVdXLdWqP7pFpErV4uza/i0zZ2xj9dKDpKelUryiLwN61cG/mhcm0crxuDCKdPZDs8eJJl2i+P4LN9o01ZGRaWfe0jS+HJdE8xYVCa1XJt/XsFptfPzRPObN2YmLs4IAPyXXb5kYPXIZw7/owkcfZ7cI+N25voiMZM4lRhLqVyLf8k6dvMnc2Tu4eCEcB62atu1r0L1HPWm83X8gKzO75UTh7JzvfplWi0ypxJhpKHCZhowMwq9cRlshBLvRiDy/GYxFkQrecqrXVKFLuoLo6cXWs4l8Nm4+cm8fHBrUQ5DJuHL2HGeGvItPkSDioiNxatIYr+pVQSHHcOY8h7Zu48yhg5iysnKCH4CKdUN564sRePj4PLSe+zaso3il4pRuXBaVPhHHqJu4mI7iqJaha+4Kdh1azlM8bF2+52cYsjg0byGdKjmSWec1ktwDiZE5kRoZR+KCJXw1sB+OLi7EhocDoNRoqN+6DT3eHYKTq2u+ZT4Jq0JLhG8jikZswTXlCqmOxQvN+JzHIQU5kkInMzMLNxcFanX+C9D53GlhyMw0PbXXNFhM7Iy8TKwhDYAQNz+qexdF/hQXwRNFkcjMFC4kRRGZkZwztkYlVxDk6E5xJw98dS65xvvo/NW82q0un393iKBABe2a6xAEAZtNZM6SNKbMSuGTzzqj0fx9hldgoAejvu3JqG975tputdu5lZbAqYTbpAEDvm/FxkVH6freDeyZNkQRFAoZ3XuE8sPE/g9t0RrxxWIWzt/Fz2M8GdjTCQcHGSmpNsb/kszokctxc9PTf2D2BGoV3QOIyEjmeloc1b2DUMtzj835fsyfjB+7mkB/FY1D1cQn2hn+ySUmT1zLyjXDKVX6xfuyfp54BxYBQSDr2nWUnnkfJMzht7GbzfgVLVrwQu/kwMh0Omzp6VhTU3MFURrRQmPLVYIMZzEqZYiugeyjNB+PfR2nBvVx69wh595zad6ElG07iFm/EZc2LXFt2TynHOdG9TFeuUL6hUs4N2uCV+0ayDQaDBcucmnTVka83o/v5y/C2S27S0sQbTgY49BnRqIzxtLb9zYWtRzrnvlgs6Es4YmgVGJJSMQSF4/o7ILJaMGi1CEKcgTRjiDakIlWZDYLt86dwlUjUqRBJWTKFDClIAoCMZ5OXHmrNbt/mEOSRYv3W68j1+swXr7Cnm1buHjyJKNnz0P/kMDySWTq/Eh0KYt78gX8Yg9wrWinF67b6sW6GslLoVQpP8IiTFy/ZSa4aN4f7137DWi1Svz9Cz4W4FHijen8dfsiBqsZpUxOPb+SFHN6ui1EN9MSOJsQSbIp+wk5y2gm8kICxNoo5upJ+c7lcX1Ik/WESQOIj0+jU7+zlCmppkQxBWfOWwiPNPNanwZ8/Emnf1Q/hUxGCRcvijp5cD4pklPCbV77XxPiX62GJlzAS+lIoybl8fV9+FNmQnwas37fztdD3Xh3oEvOdhdnOd994cHtKCsTflhFn36NkMtleGudcNPoSMrK5GpKHOXd/XPO+XPFQcaPXc23n7kz7F1XFIrsH7Zbty20fy2GHq/+wOHjP6BUvhhfbxGGBOD5mgnaw8eHyqH1uLB9J9oKIcjvuzdFq5Xk9Ztw9/WlYq2CD5J20OvxDy5BcloagkJBypbtuL/6CoIgEGBLpqX5EjpLJqk3w4hyDiG6XHfW/DAepZMjbh3a5gmunZs1Jv3IUYyXr+YKckxh4RjPX8SjV3cca9XI2e5YswYOJUsSNW4CWxfO442+HXDKuIXeEI3svm5iJ72WsLAI4pQuWBu3JEXrTrLgQIaoJGrXIWLXbsa7SBFCgrvnuUbBbuWbr/9EFVSaEroyeNvT8bKn42Y34GtLxVcD1dr6cT1Z5EYZb8JlrqiDiqCrXInoiT+zZt7spz73TpxHFZzTb6Iyp+GWcolEt/JPtfxn7cX4FpC8VDp0qsHwT//g09GJLJnhk/MjB3D9lpkps9N4tVs9HB3/ebfF9dR49kVdxSbacVFraRZYNmdw8a2bcSQmpuPr54qf3+MHVKIociMtgZPxYaSZswBQCDIu77nNvO+3YUo14+WhJC7BwlefLeTjTzrz0cft83yZa7Vqlq8cxr69F1m6eD/x8ak0a+3Ba30aUKXq481X8ygKmYzSem9Obb/BnlsXMTvYKFrMm2Z1K+Pr8ehm9K1bTmE22xjUN/+n0Hf6O7NoZQQnjt+gRs0SCIJAKRdvDsXc4EZafK4gZ+qUjTRvqGP4+7nf86KBSub/6kW15uFs2niSDh1rPPgyhUretPHnS/+PP+WrgX2J/nES+vqhqIsEYolPIGPvfmzxCbzz869/O6fN/QRBoG2v3vw2eiS6qlVI338Qe0Y6LZuUpK5TOvbkZG6eu8m68xbe/eULREHOlbNnUZcpkzPj8IPl6SpVJHXHLsyRUaj8s1v30o8cQ+7qgr5GtVzHy0Q7pZysNGsbTLGoNQREu+TsSzWYuJpgJVXhwe6sMqzae42Ar/qjfOBhR9usGeoLVxBNucfO3SXKFMSkmhAUbmQo7o3/cbRnUcyeSHFbIu4KJcU0aVQ0nCJR6cRBZVFueHqgq1WDHatX0fPdIY/1vv4du1xNnEdV/GL245F0jiSXMi9Ua86LcyWSl4ZWq2bKr2/Rv+/P1G0byaB+jgT4Kth7yMiM+em4urnxxYiu/+g1RFHkVMJtTsZn94sH6t1o6F8KlVzBvr0XGfXNUo4euQ5kD/Jt0rQCI7/tSUhIwWYRjchI5mjsrZyWG41cSTk3Pw6vucjUj9fz/psufPKeHz5eCuISrEycnsK3o5bj4KBk8Hut85QnCAL1G5SjfoNy/+i6H+XwoSv07T2JuLh0QsposBTVcvzYDXbtOMOXA7rQplKlh56bkWlCpRRwc82/e8/XO/ur6Pr1GNLSDOj1GspVDuQwkGDMIN2chaNKQ1qakRMnbjH357zz9ABULq+mXCkNu3aeK9RBzvOaNn4/n8BAxsydz7Lp0zi4aQs2iwUEgcqhoXT9/gdKlK/w2GU27tiZGxcvsH3Fcly8XOisukGRE1dJB05E27ioKMHgn78loHj2GDO5Qo5oyT/bD0A0mxFkMlK2/YVX/z4A2FJTUfn65GREOdqzKG+Lppw1Br1owuStxBBvJEvpRJToxi+/LWPbjkM53WmCTIYqMAClR/5hp756VeKWruD370Zz9ugR7HaRclWq0KJbD4LLhRBYPJjrV6/nOiddpuHITRNbNh9EHXaL2gFyqqXvRF/Ej7bBSYRrfVhX3J/ru/ZgyMh4ql1WACnOJfBMPInSYsAl7RrJLvmPqyuMpCBHUii161CdNes/Z+IPq3lr6HkAnJzUdO/ZmE8+7YSH55OnMdtFkQPR17hyZ2mGCu7+VPMqikwQ2LrlFL17/ESNKmqWzvShZDEVJ85mMWHqFdq0GMn6TV9RoWLQQ8tON2dxOPYG4elJQPZ4mwru/pRz80O0inT//nv693Bi4ijPnHO8PBSM/dKDtHQ7P45fzYDXm+Lg8PRnUY6OTmbu7B1s3ngck8lMSPmiDHyjGaH1yhB2K45uXcZTsaycXX8GUbqECrtdZMERC+PWZvHNzOUEfO5GRb/8g7yU5AzMFpGDx7KoWyNvC9uOfQYE4J23ZuRs8/d3ocMX9ShRzZ+ozBRKq3yw27InNFSpHp7JplIL2Kz2f/ZmPGN3W3Cep7Tx/Hj5B/De6DG8/tnnpCQmoHdyxtHF5YnLEwSB1z/7gqb1qqI+Nh9LahxWu8BldTmq9RtA70pVch1fpU4o12f/js1gyDNQWbRayTx5GpW/H5mnz2K3WJAplcgdHTFeuoK7NY0a9khK2uKQ3QlgDIKKw1Fw9qqGQPdmfN7/NZLT0/Ho3jV7QLTJTOzvcx6ZSXk3eNq1bQvaShVBJuPggf3sXreW/p98Rouu3Zg47CMyTpxEXzX7ejLPniNu9h+o/HxRvtKN064unLp5g/JHD1I3LpEidWrQVxHHCh8FaoenP7BeFOQkulbAJ+4wbimXpSBHInkehNYrQ2i9z0hJziQ9w4inp1OBBtg+itVuY2fEZW5nJCEAdXyDKePqm73PamPoB7No1sCBNfN8c7rJKoWo6drOkXodIvnskz/YsPmrfMq1czYxgjMJEdhEO4IgUM7Vl8qegTmDanfuO0tcXDpD3sj9o5aWbmPmgjR27jOQnmahdvVhvPFWC/oNaPLUMomOHrnGq6+Mx2Y107mNFldnOVt2naJd68O8/2E7TCYLSoWNdfP9cXLMbiqXyQT61lah18t599cMZu3czVevdESHmnNnw7HZ7JQLCcTJyYEtm46j1wkMH5PA5sX+ODjca9GJS7Dy7cQkdDoZv3zvScM6DkTFWpk6J5U/ft5Jm3dqEtzSk9KuPji7aClZ0pvVmzLp3jHvOJXrt8ycPmfkjXdKPpX35Vmy2Us96yoUmINOh4Pu6Uy855p2nRDveITWzTGpnQn3a0rwQyara9K5Cytn/07c7Hl49e+TMzbIbjSSsGQ5tsxMnJs2xnQrDFtaGoKzMwEeGqr6p1MpfCOqO1lUt+WunJX7cjlTReTWLbR6pStbli8lITYWv0+HovTIHoQs14NT/VASl/2JJSkJpVvebuqM4yeR6XQEfP1FTjea2Kk9SWvWM3f8WEbN+YN6bdqx749FGM+exyGkHAnL/0RbrixeA/veWwurdCkuJ9Xk7NQpdNXexNecyJDWJQlIPUOsR7V780Q8JSlOwXjHH0GTlYjalJxnrqHCSgpyJIWei6vuqSzlYLZZ2X77IjGGVOSCjEb+pQlyujdp2M4d54iISOHPmYG5xgEBOOplDB/iQu93rnD9WgzBJe6loCYYM9gbdYVkU3Y6rZ/OhVo+xfOknqemZu8v4n/vYxmXYKXJK5FcD7PQpa2Oft2dOHvJzLejlrFowW7Wbvwi17pUTyIzM4te3SdQvrTAmnlBuLpkf8mKoshPM1IYNnI9Hh46enXW5wQ49+scImeyC1y6FMEXs5exbfwRkpOyr0WnU9GxUy1OnAjj62Fu/PBLMtVbhDN4gAsliys5ftrElFkpJKfY2LcukGqVsmdTLhKgpHY1B/43PplVey5Qp2opGt5Zz+rNt1vy2bD5dG6TTrcO9wKdjEw7bw6Nx81Nxytdn7/uHcnfEEW8Eo7jmXgGgHR9ESJ862OXqx96iqunJw3atGPnujWEjxiNQ+lSCHI5xstXQLTj1b8Pppu3QCZg+nEsdYvJKeshR+2vJeP0OcISBc6VbECC1h3j2YukbNyMzsGB1r1689WAfjhUrpgT4Nylr1aF5PUbiV+wGJ+3Xkem0dypvkj6vgNkXbmKe49Xc40TEmQy3Dq2w3T+IluWLeHdUWMoWaECGxcvJPbOqupuHdvlWexT6eZGZq36TFuzmWbBSka0qIJL4hlkdgvRXrWfaqBjU2hI1wfilB6Oc9oN4jyr/f1JhYAU5EgkgMlmZWv4eeKN6ShlcloUCcmz9tStW3EoFALVK+e/rEGdatnbp/66mZjoZGyineIN/PGv5YmDVo1GrqS2T3GKOXnk29xdrFj2OJMDx7Jo2yw7aBv0cRzJqTZO/VWE0iXutVJdvmamSZcoPhwymwWL/1m2xYplB0lMzOCPjUVzAhzI7jr46G1XNu0wsv+IEW/P/K9bEKCIwci+9GTCw+PpOEDP4ObuKJUCqzZmMGHafmQyCK3hQIe1ekZPTOSDr+Kx20GjFjCZRT5/3zUnwLnfpwOcWDUyk6Onr9OnYh0UMjmvv9GUo4ev0nPQQX6dnUaLhg7EJ9pYtCoDs0XOkuXD/pXuPMm/R7Bb8Y/Zh3PaDQDi3SsR51G1QD/iXQe9w861q9EULwaiHdFiw7lpIxzr1EK0WDEuX8bw1+pTt5gWRDtu3j5YAqoyZck+1ixbi9V8NKes0lWqUqFmLb595y2SYqIhJpqo+AScGzdEVyl7jJFMrcb79QFET53O7RGj0VWtjEyrxXTpMlmRUSi9vXCsXTPvNcpkaCpV4PzxY8hkMlp260GLV7uzYNJEtm1Yi9LLM885otWKaLch2u1cUwSz8aZAc2s0lls3MTleR1GzO/KHrcT+BNL1QTilh6PPjJSCnGdt7NixDB8+nPfff59JkyY96+pICgmTycLaNUc5eeIGSqWCZs0rUqNuSbaGnychKwO1XEHLIiF4OOTtCnFx0WG1ikRGW/H3zfvRWb8tA7kc/pi7gwYNtViC9aw5Fo1wXGBg5ya807opDo9YkbxipSAqVS7CqAnxNK7rQFyijXVbM5n+g1euAAegdAkV3wxz5Z1PThAeFk+RoLxfkHdZrTa2bj7FsWPXUSjkNG5Sntp1SuUEWgcOXKZWNQeK5rM4J0C3Djp2789kx/4shr+fX/kiW/8ykqGzMOBrPyqVVlE2yIZWARXLqWneUEuDjhH8/Hsya+b58+dsP9LSbSSn2ElNt1Gl6W0a18t/QsUATznOWoG0NAMpJiMeDnpkMhnTZ75Nm3bVmDNrO1PmRODgoKJ7z2a8Oag5RYtJC3sWJjKbmSKR29EZYhAFgSifeqQ4F7y70d3bmx6D/8eSX39GV7kijnVrI9PryTh2nFIX9vJWPR1tGpZBrXEgzTGIOI+qmNSuvPpxY1q98T/OHz2CxWImqGRpVs+dxZ+/TUdbqSKefXohWq1kHD1O3Ox5uLZtjUuLpgCoixdF5eaGl6MT1uhYLCYzJUqXJkqpItXN9eFjdu50Vd8lCALObm7YDEbsZgsy1b3PoCU+gZjpv2NNSEDl70eM1cTYX5aw2RM6lFIAW9g1fTalX3mPJp1feaL3/kEZuuwsRoesBORW40NXbS9MCmWQc/ToUWbMmEHFihWfdVUkhciB/ZcZ2G8ysbHplAzWYDDYmTJlIxV7BtO5f108XJxoHVQeN03+XV8tW1VBp1MxeWYy40fkDipi4y0MG5lIraoafprix1m7iiwb2Ex2Ns2MZ/yApbTbX+mRk9QJgsCEnwbSoe0YareNpF5NFaIIr7TJf36cV9roeeezeHYdu0CoSzmybBZMVgsWu+3OSuMybl2LZdSniwm/nIi/qwKTSeSHcaupXr0Y8xZ+gJ+fG6Io5lv+/Wx22LE3k9WbMujUOnd9Jk5PJjHJSoiXgoYVlCSY4EKaQHW37HLr1nCgVWMt23YbuXbTTIliKpwc5Tg5yomNFxCAqzcsNA7N+7oZmXZSYi04VFPlmvlZJpPRqXMtOnWu9bd1L0zuTxsPS0rGg8L/I/MocmsWQRFbcchKwC5XEu7X9Ilm3e008HWc3d1YOft3Yqb+hpuDwCvl1NRtVIKKtesgOvtx07s2Bq1vrvMcXVyo3Tx7fawDWzZxYPMmvPr3QVflXqagvlYNUjZtJXnDJrTly6Hy88Vw7gLmuHj6jRxDhZr37sHFv/zM+iWLsJtMyNS5u9lEux3j6bPUqlUn1/aaTZqy6OdJZBw7jlPd7G5W0WolZvpMEGT4f/JRTvq7LTOTK3+uZvuts3RoX4HG8clM/nEkWUYDbXq99tjv24OsCi0mtQtqUwoOWfFk6J/fQe8FVeiCnIyMDHr37s3MmTP59ttvn3V1JIXE9WsxdO86nmoVFexYHkSZkiosNpEJe2zM2ZTJsgV7+XPM0IcGOABOTg588FF7xoz+E5VS4P03XfD0UBB220LXN6IBGDUlgGMWBSLgoRZpGSTyxlg3iu/IYOZv2/hhQr9H1rNa9WA2bhnB6JFLmfHHOQBM5ntBiMEKtw0Ctw0CV+PBo50H54UYrJF5x8qkphqYO/sv3Gop6f1FcYr4KvBR20m8ZOTr4ZF06TiWnXu/JTS0DB8uO0DYbQtB+bTmLF+XSfXqxfAPcKfbm8fp2VlPp9Z6TGaRhX+ms3F7Jn5+ztSsIlLZRWR7rMCFNBlVXG3I7zy01q6mYcf+LGq3ieTtvo7Ur+1ARLSVGfPSEWTw8++p9H3VEY0md4r5jD9SMWXYKFcukCxb/nOPvCiex7Tx9JQUdq9bw7Vz55DJ5VSsXYe6LVqi0uTfdfk4FFYDRW9vRm1KwarQEBbQgizNk88G1LhjZxq264D9/Fb8U8/i5KRH4aAnzqMaia5l4W9mJ9+yfBnaUiVzBTiQ/fDh0rIZ6QcOkbprD0pvL1I3b6NyvfqUr5G7W6pZl65sWPAHCQuX4vFaD2Sq7BZY0WYjceUazIlJtO7ZO9c5PoFFCG3dloOr1iLIZOirVyXz1BmsCYn4f/YxKt974/vkOh2evXtwZFwEIWEplKtbnp6ilpm/TqFh+w7oHJ88q/Quo9r9TpCT+EIEOU9vTvr/yLvvvkvbtm1p1qzZ3x5rMplIS0vL9Z/k5fTrL5tw1Imsm+9LmZLZLSS74uU4B6p5rbOOK6tvs3/rhb8tZ+iwjnw6vDMTZ6QRUOUWPuVvEVzrFucum2k0wJNLdwKcsk4inf3tOClBo5HRo5OObVtOFKiulSoXZcWqT9l3aAxKpYx5K9M5lyqwMkLGH7fk7IiTcTVD4MA5CwqFjJJFffHROlPMyYMyrr5UdA8gxM2PK3tuY40xMqSnHn8fBRY73DbKMATpeOvnItwW0li5+jBdu9XBzU1H3//FkZJqy6mHKIpMmpHMX3syeee9Nvw+5z1Gju7J3qMqur4eTe93Yrgd58b0mW9TtlwgN8KsFNOJaOSQaYWYrHvXdD3MQpEiHrzaozG/zjXQplcUbw2Nw9mjOBMnDeTWbTutekaz77ARURSJjbfy9fhEPvs2gSaNKuDsrMVssz7un73QuL8FR2ms+1wEOMf37OLdtq1Y+MvPnA6/ycmrl5g+cgRDOrUj/OrVf1R2doCzCbUpBYtSy83ANv8owLlbZvGobVRSRePh6YHZrTjXinUm0S3kbwMcgLCrV1CXzr+bTJDL0ZQqQcaRY6Rt2krjdh34aNyPebqlPH39+GDsD5guXCTy62+JX7SMhKUriBz5HRkHDvHWFyMoXjbvXFaDvvqaWo0ak7B4GREjRpO4fCWqIoG5Apz766KvUYNlO29jRk6Jcv6UdLJwaNu2Ar5Tj3Y3q0ptTnkq5T1rhaolZ8mSJZw4cYKjR4/+/cHA999/z8iRI//lWkkKg7WrD/NGTz06bfaX3cFEgWsZAjIBBlQS2FxCydrVR+nStc4jyxEEgc8+f4W3BjVnzZqjJCak4RPgxsxdO7B7mhGA+p52QpxzdwHpdTIsFlv+hT6EZzEXWr1fk1/P3SDhqI3gotmtLO5qkfirRtb/FEv7ZrV4o2qDfM9/Y+5PdG0F/UqJ2EUbyWa4liFwKV0GHgrKNnVh0blD1G1TlkVLh9LtlfEEVQvjlbZa3FzkbN5p5NJVE0M+aEvnV2ohCALv/q8177zbkvj4NBRyOW7uegRBQBRF3nnrHGfOZRHoreVqukB4poC/g0jYbTOLV2VQuowr16/G0KFjLVq1qUrduqVxdcvu+ipZyo8h786gYacI5PLstbccHBQM+aAdDV+rxI30BOwF6FYrzOLEqtjsDx9b9V+6fe0qEz/5GE3ZMvh075KTmm2Jiydh3gK+ffdtJq1c80SrY8utxjstOKl3Apy2WFT/bNkKXWYUAdG7UFizsMsUxHjVJNm59EMHLhvS09mzYR3njhzGZrdTumJllCoV9jsLj+bHnplJkZKl+HLqdJxc3UC0I7dmIbebEOw27DIldpmSGg0bMGHFaratWMbpw4cQRTvla9ZG7+xMdHgYu9aupnbzFmgc7o1DU6nVvP/9eLq8OYiDW7ewb9MG0vJboPQOmdaBxEwbJ+T+1FaH07SMnqi4mCd/A+9jVmb/LZSWh78XhUmhCXJu377N+++/z7Zt29AUsKl0+PDhfPTRRzn/TktLIzCwYDPSSl4smZkmfL2zvzQupAqcTskOdhp72QnQgp+3nJR046OKyMXN3ZEBA5tgtJrZHHYe31gPrl64RYvXNBR/IKNbFEXWbjVQuUrZvy3XbLby67wtrDhwiESbAaVSjkarZt7sZIqo7JT3sHPhrIUTZ4w0bhzC+LF9H1pWWpoRf9/sLyyZAO7q7ACphpuNW5kCa9UiCWYLOyIuERLkx4Gj45g7eyebNh7DlGWmfIVS/PhzM0Lr5a63TCbD29sl17bOr9Ri6i8bads7huHfeiEr40h4pkDEwTRe/yAOi0UEaxxO6kT27bKwYP4eer9Wn8m/vIFcLqNuaGmOnPiRfXsvcvVqNHq9Ay1bVsbFVcfeqH/WaiB5fBsXLUSu1+PZr3euVGillyeer/cnYvT37N24npbdejxWuTKbiaIRW3JacG4FtvlnAY4o4pF0Bu+EEyCKZKldifBrlGeOF1EUOb57FxuXLOLK6VNYrdmtgg4lgkEu5/Rv00AUEQ4dwaV1y5xuppzrTogmOPk6A97oTanEfWijU3CQ23JmQc5FEAhWuVC1e3VSuzfix59ms2vbFhQ6LXKtDlNCAvMm/MA7X4+kZpPcPRIBxYN59e3BCDIZq+bNxp6VlZOifj/jhUuo/Hw5pQqkctot3OUmdO5P5+fcoszusldapSDnP3X8+HHi4uKoWrVqzjabzcaePXv45ZdfMJlMyB+YY0CtVqNWP3yOBcnLo2RJX3buT6ZzLxf2xGcHODXc7JRyFDGbRfYfMdGp6+MNeDRYTGwOP0+KyUDt6qX4a8JxpruaGPdV7hTxyb+lcPZCFiO/b/6I0iAuPY0BX07lenI8pUuoqFVEizzJzLbF8aRfM6OuHsyVZBv+Rd34+Iv6tGhZGblcxuVLkRw9cg25XEa9BmUJDMxu9i9Rwpe9hxP4eHDu15EJEORg5/LyBKp2KQrA+aQoRDeR4V+8wudfdnms9wFArVaycvVnvP3mND4eehGvVlYQRWJWx6HVCGxa7EfzhtqcFdLnLUtj0Md7KRLkySefdc6ul0xGg4YhNGgYkqtsqz27BUwuK3S964XWsb27cahWJd81oRRurmhKl+L4nt2PFeQIditFIv9Ck5WEVaHhVmBrzKonH0Mi2K34xezHJS17iYRkl1JEe9XOs+6SKIosmDSRDQv+QBNUBBsi6qJF8OrfJ2eVc1umgcTFy8g8d57Yqb/h2bcXfi5KStni8Eu8hf7sYWSVdYgXtrJz31IAXDzcKVmhIgGly2O1iyiwI8cOoojalIzalMz5LZtoTAQhb9fnenANriu9MSalkLxmAz99OowRv82ibJWqPKhxx86s/P03klavw71bl5xZlAEyz5zDcP4C7t26YBKUHDsbSwVBoEnlQJKe+N28xybLDvBk9txj4MKvXuXaubPI5HIq1KqNu3f+S6s8bwpNkNO0aVPOnj2ba9uAAQMoU6YMn376aZ4ARyK5X//Xm/LpF39Q9pCNgCJySupFqrlmP4X98GsysfEW+g1oXODyDBYTG8POkWY2olWo6FKzGprPRYZ/uoDte7Po2UmHUiHw5wYDB44aeP/DdjRukv9aPla7jdMJEUxfs52bqQm81tWRNuUVVHW146RUktXXgVcGRvPX3mt8/ElnPvioHWq1kqioJAYPms7uXRdzyhIEaN6iEr/NGky/AU35YMgsduwz0OSBFO2pc1IJCzczu2NLnPz07Im6woWkaBxVDoS4PX52C4CHpxMrVn/K+Qu3mXZ0BxnGLDZsTeSHr9xp0ejegG65XGBgT2fOXjAzY9pmhnzQ9pEzVVvuBDlKmfQZ/69YzGYcHB7eYi7TaDCbTQUvUBQJiN6NzhCDXa4kLKAFZtXjT2IpiiI3Ll4g4eZVaquuo/fVIypVRHvXeehSBCf37WXDgj9w69IJMcuEKSoK79cHINffd0/qtHj0640w5jsqidFU3Pgj/n7OiDY71vQMUCkJSzIRkZlFbKqVWAOkytPJXLkZtX4/xvR0ZDIZVevXp0mrZiRfPkHCxSM4ZsVRvlElSvo4U9J6hXR7OJtdyqLo15uYn6awcuYMvpg6I0+d3b29eevLEUwf9Q2W2xFoq1dD5qDBcO48hnMX0FYsj6ZEMIkr13D45AlefaMO3iSSbLf+48U1754vs2e3dsVFRfLriC+5fPLemEJBJqNO85a8+cVXT22m639LoQlyHB0dKV8+9xLwOp0Od3f3PNslkgf1fK0+Ky4eZd7KBGqWMBJYXuDPY3b+WJbOhm2ZfDq8M2XLBvx9QYDJZmFL+HnSzEZ0SjVtgirgqNLw9uCWlAsJYNqvmxk54Tx2u0it2iVYsKglbdtXz7esBGMGuyMvk2IycPLkDWoWFRheT4ar6t7aSxqNjKnjvChR6xY/jFvFwQMX+W3Wu7Rv/S3pqcm4uchISrHj6S4nLcPO1i2nqVn1Yw4dG8eaVYdo99pF3ujtSKfWeoxZ2RlRS1en8867LalaLXuV8iybhSOxNzkeF0ZRR3d0yidvAQ0pF0gjVQh7jlxEppHxWtf8uyP6dnPk599vc+L4TeqGln5oeVnW7CdKjbzQfF09lruDjm+lORKWpHgu0saLlipN2MXL0KxJnn12iwXT1WsU79ipwOV5xx/FKT0MUZAR5t/siQYZX79wnt++HUXyrUv0qajkglbGGZmS1PJdCe1XmodNG7h56WI0QUE4N6hH1ORfcQgplyvAAdCLJqqItwlu54s6KYGyVasRHxNHhMWROA835i1eT5ZMhWPdOmjqF8WalEzW3v3YyUD08cKjQ1vsmQbOHj7Csd27kanVyN3csKWpCOnbnnJiPBWs0Tjas+hqPsUhRRB/1a3F2aV/kpmelm9WVKMOnfDyD2Dd/HmcXrseu92OQq0CUcRw+iyG02dR63TUG/AepWo6ILOZiD13iLXrdxEXHYmTswuhrdpQqW4ossdoBRXvDNIWEElLTuabNweSYbXiNaAv2gohiBYLGUePc3j9JpIT4vlq2m9PdVX0p+3F/NaQSB5wOvk2nfrW4djBa+z75SRrxqUCEFLen+kz+9C9Rz6TtOTDarexLfwCySYDWoWK1kHlcVTde+LNr7slP6Iocj4piqOxN7l5M46IGwlEbI/lnbcdcc2nUaNooJKK5VQEBSjZtOMS770zk4iIBBBFGtbVMn6EBxXLqck02Jm3NI2hX8fTq/tPrF43nB/Hr2Hu7O38OjsSgOLFPZkwqQsDBt77AQtx8yMsPZFYQxqHY2/QJODvxw89ilKmwGazo1DLcNDk//Oj12V/mVosj86ayrBktxj8k8DrefU8po0DtOrWg0mfDSP9yFEca95bzV0URZLXb8KamUmzLq8WqCzXlEt4JGVPhxDpWz/PXDUFcfvaVUYNegM3X1feH1wfN3c9qSZYdDCFm1PmcjtdRs//5TNTJXDt/Hkc6t9JKLBZc4230YgW6lhuEmKLQS7aMapkxGSIVGn0Bk6OxSgjVzOlbUuy5Br8hg7JtfK4Y93axMycjSUqGn3VyggKBU4N6xE/fxGGs+dRBwVgDo8gQ6HjCDpOKQJoZLlGWWsMdSy38PQxMl0GWQbjQ1O/y1WrTrlq1bHb7dhtNmRyOZdOniA24jY6R0cq1qmLxkGL4fYWrm1exIJ1v3DK6IQiwB/brZvs27QRDz9/BJmMjNQU3Ly8adqpM006v5Jr4PP9BDG75VQUZGxZtoTU5GT8hg9D4eqSvV8ux6l+KEovLy5OncHJ/fuo1qDh4/5J/zOFOsjZtWvXs66CpBAIT0/iQlI0CoWcL3t1xu/1/kRFJaNSKfD2dn7kisL3E0WRvVFXiTOmo7ozM7KT6vGfuq12G3uirnDk2g3Wrj5M1LkkFDcMyDOsfPx1Apu2Z7Jwqg+eHvc+nqIokpZup2igklfb61m16RxeHjJcnOSsmeeLWp0dMOi0MgYPcEGrlfH6B1e5di2GL77qyrBPOxEeFo9CIadIkEeeJztBEKjjE8yaGye5lZZIqsmIs/rJWxQUMhm+Pq7YRNiy00DrpnmbtNdvzUSlkhMS8vBkAIvdljM/jv4FC3Jyp40/X6uN12rWnMadOrNz4VIMJ07jULE8otmC4fgJssJv03/Yp/gFFf3bcrSGWHxjDwIQ51mVVKfgJ6rPsulTcXXX8c7A6jjJbCTJtKzWVYT2GlxUzqz9Yy4tu/fAzSvvOBG5Qo7dlD2RpCowEMOZs2C1UoE46lpuohGz768ImTMbD6Sg8axA7TtdX5npaSTGxeHaplWuAAdAUChw79ieyHETMJw7j65yJQSZDPdXOmavep5pxBwbhy09HbmjI2ZBwVZVGcJlLjSxXMU/LYIOIXqc81nk80EymSznM3s38Lnfjl1HsV66SMkWdYmr2B5BJkMURbKuXCV21lxkOh1ODeuTGhnF/EkT2bluDV/PmIXeKW9wdbebyi7I2b1hHdqqlXMCnPs5lC6JJjCAPRvWPddBjjSST/JCM1rN7LuTnRPi5kcRR7fsH/oiHvj4uBQ4wAE4lXCbm2kJCIJA04CyuD5i4sBH1WdT2DnORESwZMFelGFJrPnMkdjTQSRfCWbZTB/OXTLTpldUdkbSHXsPZXEz3EqbZlqaN9RiNtuIjLbxdj/nnADnfr06O+LqLGPlikMAqFQKSpT0pWgxr4c2XbtpdPjps7NSbqUnPPa13c9mt+Pr50qZ0r58MiqJuITcrTUXr5gZ+0sKnTrXwsPz4YNPk7OyMzwcFMqc1dpfJNlp48/fauOCIPDWl18zeOS3eAsyEpeuIHnNOkr5B/LF1Bm06tHrb8tQWA0ERu1EEEVSnYoR71bpb8/JT2Z6GlcP7eL11oF3Ahwdf6orky7LbkF1blgPQaFg/+ZN+Z5fNbQexpOnEG02nELr4GrLpN2x+TQ2X0EjWkiQ6Vmhrszsg+lcuBhDy249c86Ni4wEux2HUiXyLVvl54vcyRFzdGzONrmjI+oigQgKBYJMIGn9plyzil9S+LAq3Q/T7QgalHZh+RdvMPb999i6bCnGR6SwP4zVYmHzxm2oAwPwLFs8Z5CyIAg4lC6F+yudsCWnoKtSEc/+r+H38QdER0Uyd/zYfMuT27InuLLJNaQnJ+e7plbOsZ6epCY9jeHO/55C3ZIjkfydA9HXybJZcFXrqOZV9InLCU9P4mR8OAB1fYLx1T3+oMlMi4lNdwYrnzp6g8wjiRxd74e7W3Z/tkIBXdo5Zq/A3fo2qzdn8Gp7R06cyaLf/2KoUl5N0/paJv+WAmRnr+Y3QzGASiXg56Ng29bTHD1yBZVSQdPmlejZq/4jV2wvoncjMiOZyIwUKnk8+XQLFrsNQRD4/ru+DOj0E+Xq36ZPV332yuNnTCxZnUHx4j58P+7RU9HfXbndVf18D258EQmCQIN27WnQrj12mw0EoeBjO0Q7AVG7UVgNmNQuRPnUe+IVs41JsbxWQY6Ls4YkmZY/1ZUwCPe6nGQaDSpXV5IT4vM9v3XP3uzduIGEhYtp2LUedV+rgPnSJRJSYznsVJaTJgHD6YUYb9ykfb/+VKpTN+dctUN2a6YtIyPfsu1mS3aat/pefURRxG4wIPP1wb1LZxKWLMeakIhjaB3kTo5kXblK+N4DaHwsNCiWTEVXGbvPZ3Jq/Pes+P03vvh1GkElCx743rx0kdiENFT+FdCK5jz7dVWrkLDsT4wXL6Os74HKzxenZk05sH4jr304FBf33KusK6zZQY5V4YCrlxcZkVH5vq4oilijovGo8nwv5Cm15EheWGFpiYSlJ2Z/WfuXRPGEKciZFlPOXC1lXX0p7Zp3FtKClLHx1tmcwcon5l6gRxN1ToBzvxqVNdSsquGDL+Op3TqcGi1v46iXsXqeL3Y7zFqcjpeXC3IZHDqWlc+rQWKSjas3zFy7chtv5whU3OTrrxZRrfJH7Np5DpvNnu95Hg7Zk7ulmQs+Z9CDRFEk8846U+VKBrBz7xhe69eC5RvsfPR1InuOqBn2aRc2bfsGN/dHz5ESa0jLVS/JsyGTyx9r8Kpn0hl0hmjsMgW3/Rpjlz1ZK5xgt1Ip6zQeWjnJKVmseiDAAbAZjJiTk3H1yH9h1qKly/DB6G9pZbpIze2zEZMTCROcmfxXItuX7iN53SaKuroz9Mef6D3kw1zn+hYJwrtIEdL2Hcx3jbeMY8cRzRa0Fe4lv5huhWGJjUNbPgTHOrXwfnMgosVC/LwFxEyZRuauvdgMBo65V8DWpCXu1SrS5PU2BIwYjlmr4bv33iHLaCjwe2S1WrHaRQSFPDuF/cH3UCHP7r6y3puMVFupPHarlZuXLuY5XmXJ/syZFXqaduyM4dQZzDF5Jxo0nDqDKSaGxo8xAP1ZkFpyJC8kk83KwZjs+TMquPvjrnmyH0m7KLIr8jImmwUPjZ4a3sWeoC4WNoedI92ShaNSQ6ug8nwclUFQwMO7aYoHKThxJouypVQsmeFDp9Z6EpNt9Hk3hktXTYiiCUGAX+ek8Hovp1wtOqIo8u1PSdjscGlfIEFFVJy5YEKpyB4H07nDOFxcHHitb2M+/KhdrkBDd2eVdKPVjF0UkT3m03dqSiZzF+5kdfgpTCYz22MO069/U0aO7sGob3v+fQEPuBvk+Ggfv+VM8mw4GGPxTDgJQLR33TwT8xWYKOIfsxdnMQ2PoOJ8tzkMZQkR2QOZ7Wm794DNRr3WbfItRmE10LO0GXHIa1y/dIlNFzI4a3Xklff607B9+0eu9yQIAt0GDWbKF5+RtGotLq2aI9dqEW02Mk+eJmnlarSVKiCoVZgiIrEmp5C4/E+Ufr44lM3OGHQoVwbDpUuYwsL56MeJ7FyzmgvXr+LWqwen7DE0NV+hsi2SU6618Ojfh4hvx3Jg8+YCryweWDwYhUKJJS4eHPOOScq6eg3RYkFd5F72qHhnsH9+U6+ozdlJGWa1M826vMqu9euInTIdp+ZN0VYMQbRkr8yetmMXNZs2o1z1GnnKeJ5IQY7khXQqPhyD1YyTyoHKHk8+oPNiUhSxhjSUMjmNAko/dmuQTbSzM+IyqXdacFoXrYBeqaZoMS8OHkvJ9xy7XeTQcTOO7np27ssgMlpkwvRUTp4xIggw9ksPhr7jwtZdmbwyIIaarcL55D036oU6kJxgY9rcVNZvy2TCSA+CiqjYc9BIm16R+PsqGPuVB0GBCg4dy2L23K1s3niMTVu/zhkXo7qTpi2SPUBa9Rhp2zeux9K+7bckWg34NnHFlmnjwJ4wNm04xStdavHbrMHI5QV//1JNRtItWQiCgJfDP5v2/3nzPKaNPw2C3UpA9F4EUSTFKZgU5/zHshSEe/I5nNNuIgoy1C0/IGnFR4g/T8O5VXM0JYKxpaaStnc/6fsP8sobb+HqmXfsiMqcRlDEFlTmdKzOHug6f02b3t7kHw7lr0yVqjTu1Jnd69aSfuAQKi8vrKmp2V1YgpCTzp1DJgOLlaTV60AQyDpzFnNyCm988RU1Gzfl588/w7FVcwSZjEuCNw2E6zjZs3AXM0nwcMchuBinDu7/2yAnLTmZ+KhINFottRo1xHTjICaPILgvCLRlZJK4ah0qP1/Uxe89oGUeO4HKwYGSFSrmKVdjyh5jk6VywUGn45vfZjF7/PccXruepFVrAFDrdLR7rQ/d33nvscY1PgtSkCN54SRnZXIhOXtV8Do+xf82MMnIyGL5sgOsWXWIjHQjwSX86DegCeWrF+F4fBgANb2LPVEm1ZGYm0RlpoANGviXyMkQ6tu/CcM/mc+h40ZqV8td7u8L00gtpqPSm6Xo41CD/RsvsGL5AYKLKdm3NgA31+yPbcvGeq4dLkq99rf58tdUgrSuJGxKIPOAga7t9HzwlitWq0jf92KoVVXD+gV+ODhkvxdd2znydj9n6rWP4uuvlvDr9LcAMN+ZeE/g8SbfE0WRnt1+JDkxFVUxBwL9FRTVyIhOUbN9j5E1qw5TpmwAwz7tVOAyb2dkf9n6ap0fK9h63j2vaeNPg1fCSVTmNKwKLdHe964rJSGBHatXcv3CeeQKBZXrhBLaqnXOmJcHaQ3R+MQfAyDGqxaOrmX5ZuYsfhszmhuz5t47ztmZ3u9/RLs+eZc3UWclERSxGcGYjlHlxO0i7R5rCYmUhARmjR3Dsd27EO3Z3UBymQwfnZ4KTZohiiIbFy9EtN2ZkdvJEU3x4lgSErBERSOcv4hSraZKaH1ade9FsbJls8fr2GzIlNktr1ZBTiw6vOKuobi0jsRMB2zGLKymvGNr7kqMjWXh5Ikc+ms79jvLU7So6k9FPzVXNvxFvDoOdZFALAmJpB86giAT8B3ybs4ac4Yz50jbsYvWPXrlmchPsFtRm5IBMGqyg0ZHFxfe/24cKUM/4dblS8jlckpWqIjmEWtrPU9enG8OieSOo3G3EEWRIo5u+Osf3VQeHhZPp/bfERaWQPOGOoJLy9l7KJplSw/Q6fNQ6nUIwU/vQimXx5/C/GZqAsv3HubY0WtcXhPG0Ggz1asX45332vBanwasXHGQFt1u8L/XnejYWo/RaGfBn+nMXZFOlckVSbBmstR+ird712P2rB0sn+mfE+Dc5eutYOGCAAYcVqHyUlFlUBkOnzpOrWrZj3Mb/8rkdpSVlXN8cwKcu0oUU/HhICdGTTzImO974+Kqw3Rn4j2lXPFYT2h7dl/g2rUYvD3lfPWjL3YnJfU87FR4V8++w0Za9Yxk8k/r+HBoexSKggVPd4OcgL/5GxYm9wc42auNPz9p4/+UJisBj+Ts+XCifOpil2cH9Ae3buHXEV9gFwTUwcXBbObIjr9YNmMqn0+ZRpGSuVf+lttMBEbtBlEkxbkESXfSuYuWLsN3fywk7OoVom/dQqPTUa5adVT5LN0jN6Vi3jieHedPcPV2EgvOWPAvt5n2ffpRo3HeCQ4flBgXx/DXepCRkYG2SiWcmzVGkCvIOHyU8F17kMll3Lx4EXXxojjWroVMo8Fw/iIZx46jKRGMOrg4KmMWk1etyzWWSRAEipULIfr8BZwa1MMcHcPlrZvQORrQp+owRMmxxsVzMS2dW5cvUbR07lmck+Lj+HJAXzJMWbi0b5PdopWWhuzyTgzpCXgGl8XhSAyJx0+idXLCxdGR5Ph4EhcvQ+HliTUymqyoKKo1akzP94bkuW6tMQ5BFLEqtFiVuQMgF3d3Ktct2HxizxMpyJG8UGINaURkJCMIAjW8Hj1+RhRFeveciExM58LeIEoWzx6PYreL/LAog0n7r6IP1NLl1a6P3SRrtJgZMWs5R05eo5zWxtRPXLDbYdmaOF7v/ysffNSOFas+YczoFUydt4uxU7KfngICXBj1TU+6dKrD+/uWEpWZwk+Gv1C6KSlTIu/gzRgjjI7RovKS4WhTMbXpa7xVOZnVm8L56G1Xzl004+Emp2rF/Kfob9FIy+ffJXLzZixVXIuTaMpOYXVVP95T2trVR7Hb4bsRHhidlSBCoDZ7oGa9Wg4M/58b3/yYyJnTt6ha7e/nSjFYzcRkZo8NCHJ0/5ujC5c4sSqpRsULFeAg2vGLOQCiSKpTcdL12dd24+IFpnw5HG3lirh1fQW5NrvlxpKQQMKc+Yx5720mr1qXq1XAN/YACquBLKUjm2/AkbnfYcrKokiJEjRo14GgkqUemX0kWIyEzxhCWthFUl182ViuMw4lRW4fO8GEjz+k53tD6Djg9XzPldtM7Ny0lZnfjcZiMiHT6cg8eRrD6bM4N22Ea7vWyPQ6bq5Zj1OjBvh2bIX5zlpPukoV0FerTMz033FqEEr8rr1cOHaU8jVr5XqN1t178suXw0nds4/UbTuwlNLgGFobH7dyBCqDMUdGkbh4Gd8OHsSPy1bmyn5aMWMaGUYDPkOHoHBxubPVnxLBVtRn93F070W+/2Mb+rtrclmtnNi7h90b1pGamIh7SAUaf/4VFWrVzncgud6QnUmV8QQTNj6vpCBH8kI5cad7qaSz199OZrdn9wXOnY1gx5/+OQEOAIJAUANnQhIzObTyAk69Crbq/f3m/rWHIyev8UpjDZO7qlHc+T55vZczE6Yl88mo9bRsVYXvxr7GlyNe5eqVaBRKOaVL++W0dPzcoCdD9iwmKjOFYp8VY+fZTPr43Qt0Yozw+lEVEUYBc5yZ/kUa4K114s23WtKn92SmzU1B6yCQabBjNNrztOQAxCdmN7WvW3OUKlWLk2BMB8DjMQdq376dgCBAtf+zd57hUZRfH75ne0my6T2E3kLvvfdelaICCiIKAnYUC4oUESuIioKK0jvSkd5774H0Xjab3c32eT8sBGMSBP/6Crj3dfGBmZ1nntnszv7mPOecX2tv9uaCr1zE93dv6cBeXrzzUTaXLibfk8iJM2Qh4q6q+n1HaQ8PJv76K6gtWTilCtKCGxVu3/jLImT+fgQOHYTwuyRXeWAggU8PI+mD6ezfvLGwe7JP/k10hpsUFBQw9uPNHD11FWVIMBKNhv1bN7H0qzk89/Z7tOjWveSJiC5sO77EEHcJV616/FahBzJBiTfg1aQR+k1bWTLnC+q1ak1UhaL5QuXj11P27PdM/CQeRc26hHTtjDwwAKfRiGHPfvRbd4AgIDocCEol1bs2Y4nhW75RNWOZym2yqa5SGU3NGAouXwUgPSmpmMhp3qUrF04cY9eq1SCV4tezLzJFNpJb1VuKiHCCnxtJ0pRp/LZ6Jf1HjSY9KYkdq1awa91a5JER2LOykeruNDINFk2oKlYgdVMC+zdvLOxjJJXJaNi23T1FrwC0JrfIMWkj7un1DwOeEnIPjwzpZgOppjwkgkCdoD9/St6z+wLhoQpaNS0qhmKNArk2gXrV5MTuTiEpMfu+5pFrMbHp2GmCg2RM7qkoFDi3mTjal4rllCz4bgcAGo2S2nXKEhMTVWQpJ0TjwxetBhOu9UURrGB2nhcJBveN8PcCR260Y/w+k76d3FUO3XvWZ8zznRk7KZOfVuZTYBH5eVV+iXP97pc8/HwlfPrJr3z//Q7iDNmF574fKlZyl9VfNbovtrxX0XLbWykNhIX/+dKTKIpc1bubq1XwKb0RmYcHA4nTRlC2u5oqI7AeDtmdqMzJfXvR1K9bRODcRh7gj7pSRU7u21c4Tlj6EURR5JOfdnDqZjqh48YQNulVQieMJfK9t1HVqcXcdydz8cTxEucSlH0G/fkDiH7+bCnfGaNwZylLEAR8O3dArvNhx6oVRY6TOq1Uvb6YIDGHPaN8qTWkG/JAdwRF6uWFX/cu6Dq0I++33diSU6kQU4alliWUdeUw2nIQpXjHsVtdpTL2dPfnV+tdPAdIEASefesdgqPKoK0Zg1bjfhqwCndiDlIvLzS1a3Jw+1ZWffs14/v0YNPKZSjKlcVlNJH25TzS5s3HZbHg7bLg47KAUkm22p/0pKQi50u6Ecup/fuIvXAel6vk1hEAMrsJtSULBAGj9q+Z9D6IeESOh0eG2836KulC7skCwOl0IZcLRZaiRBFO5rr/X07mRLSLpfaUKY0TmfFkZOipHQJh6uLLXBKJQKc2Ki5ciP/TsW4LHX+pBlEnp9cWKXO3WRh2WE5SgYA03875d27wwaQhyOXum6QgCHw4Yyi/LJ2If1BFlAoJE97OZMWGfJxOt/jIN7qYPD2LVb+amPVuIMMH+TDrq3XkWy0opDIivf681fzvGf50OwSlhG2n3Tf7qt5FRc6ydfkolVLqN/jzKE6WxUiOxYRUkFBBV3LvEw8PDgG5F5A5LNgUPuT6FjVadTgcSFSlR+IElRK73Z1kG5R9GpnDzI2kTFbuv4E0JATD3v3ot2zHodcj9dISOPgxlBHhrPtxYbGx1AXpBGefRp+dzQ5ZZbIkxaORgkyGomIF4q5dK7LdKVXymesxYnNclPdysiR/EWHOvCKv8WnVAtFuJwwjW1tnEO3KJV7ix1DvJ7EKdyKsTqMRJFKUGg11mrco+boFAalMhtTHB1/R3ZMqTyj6sCX18UaflcWKb+bh26kDkVPeJvzF54l8ZxIho0ZgjU8g85elRLvcuWtpohZTbj7aW1YN186d5c2nhvLKwH7MHD+Wt54aysT+vTny244S5+RjdN8/zaqgIkL1Yccjcjw8EuRaTKSY9AiCQK3Ae3MTb9y4EvGJVk6evdNQL9EMOTYBhQRObdUTFqYjqsy9OybnWQtIyM9BJpMiSSy9oVeO3olKWYITZwmEaHz4ttOwQqHzragjzSbBlmHDtDCPBV8+T7/+RSt0BEGgW/d6rF7/BrEJ31CrdgUGPZtGuYY3adEzkai6N5k5J5cPJwUwYpCOiaN9KfB1EReXQVnvgPsula9cOZyGvSqzdbcZZ44d3e8ubcdeMx/NyeXJYW3R6f785nkhxx0yL+sTgEr26Fg53Ckbz/23p/K3IXVYCpON0wPrIwpFIzblqlTFcqF4wzkAl9WK9Vos5atVR27LJyD3ImajkbfnbcThApfJhMtiJW/XHhKnTMNw8DCCRIK2cUPOHDyAzWq9M5joIuJWTtBlvZwLd3EaEE1mlH9IVnbY7bz/7gza/Gjipk1NtCuXxfk/FRE6Mp0PUf4Ktnc1Ut5HJM7lzRDvp0iV3unhJDoc5B86Ck4nfYY/fdcKpDIVKuCIvU6gy91NOUdS9LWWq9ex2+xo69TCr1vnQmNRQRDQ1IghoH9vzGfPUybnJgCXr2bgMJlp1qkL186d5f3RI0kxGgh+ZjhRU94mdNwY8n28+PS1l9m36ddi89Hl3wAozKd6VPCIHA+PBJdy3R05y3j53zWHw+FwsmrlIfr2ms7kNxehUcvoOzyNm/HuCMQFg/srkRdbwI+L83lmVKd7rgYCuKJ3z6N2dFnWrc4nz+As9prMLAfrtpjp2qNBsX2lEaLxYWrLvkW2vVqzE6t/fh27w8naNUdIS9OXeKxWq2L0mM4A9OykpXIFOa+M8eXG0bK88aI7YuMbKkcVrqKgwEZMQOnr8Xa7g00bT/LtN9tZveowJpNbINqcDvo+3xyttxevPZdIl0HJTJicSYueiXR+PJnGTaveUzPAfJuFm3nu9vwx/o9OXsDvq6puZD06ZeOBueeROO1YVP4YvMsW29/l8UGYr10n/+ixIttFl4uctRtwWa2079ef4OxT4HLwy4otXMoTCH95PBGvTiTs+Wcp8/7beDdtTPaylZgvX0Gi1YIo4rDfWSLy119Gac3FKVWSV7Yt5hOncNnsf5wO9uxszFeu0rBN2yLbP5/0Og67nSSDSKu5GcTmuIh25fJLzveFQicg5Sq7hioo7+3ihl6k/Y8mbsZlF3ZCduTkkv79jzj1etr17U+fp0fe9b3r0H8gwaZ0hMQ4CgQ5mcKdyJPx2AmsiUnYCsx4NW1c4vFe9eqi0SgIT7+KJSGBw6v30qJbd8LLluWnTz5GGhxMyLgxaGvVQOarQ12xAsEjR6CtV5cfZ8/CbrtTpq6wGdCY00EQ0P9FE9UHFU/isYeHHrvLyfW8DACq+ZdeFWC12nli8Kfs2H6Olk00DOim5Ea8inWbjVRrGUffPt7Q0I+biU5O/pBGly51eXHCvbcNE0WR2FvzGNGjNZtmHaTXU2n8+GUwZW91JL5+08aTYzNQq1UMG97mnsdONxuYemxjkW1zb+zhhSe+wZbtvpnLZBL6D2jCR7OH4+NTNPQdHe3ObenT1YuOrYv7QC0/4xZjVQJDS62sWrP6CJNe+5H09HzkcgG7XUTno+K1Sf1o+ngMcrWMcaO6YattYvnS/Ww/YCAiMpKFP7WhR88G9yQWz2YnIQIRXn6PjJVDguk8Z3ISOJpT9qEvGzfn57Nv80aSb9zAW6PghbouCAogI7Beid5UTTt14eyRI+z+ZRnmE6dQ14jBZbNhPn4Sa2oaz05+h8hAb3xvxpKamMjKIykEPfMCyjJ3fNMkKhUBA/thS04h77fdyHx9katUvDJoABqtlpbt2/FiYwUopaQH1afdoOZsXruepPen4bJZQQR5SDCi04kjMwupXE5qQgJZaWkEhoayc+1qju36DU3tWujatUYSFMjApCuszN9EeW8jv+R8z8u6/sxyrKC8v4T4fCm7mn2CffN0Ur/4CmVQICgUWFNSkSsUjJs6jeZd/vy+UaNhI4b0bo35/CEux+ZjDPN2Nxc8fQbjqTPUbdmKU/v2Ii0lGiTIZNQMlWG/Hkui0UX1Nj155o03SYmP49rZMwSPeLKwH0/hMYKAb5eOJE/7iFP799KoXQcAdPor5OtzyZIEkG8D9aMTQPWIHA8PPwn5OThcTrzlKsLu0v7/ww9Wsm/vBTYvCadTmzs/9Dfi7bTvn8yOCyI6hYtAlTdff96bvv0a31eHXr3VTIHDjkwioV6Fsixb9SpPDP6Uio3jaFBHjcsFJ84UEBLizco1rxAUdG9WBelmQ2GVVbjWl1dqduKlLUtw+EppMLMC39azEyB3sXRNPu/OOkJcXAYbNr1VmKMDUK9+eapXD+eDT3Jp3VSDQnHnByk2D5YfsOPvr2Vg00YlTYFNG0/yzPA59O3mxbuvlKFGVSVxiXZmz8tl8rtLGKxtT/3GFWgQXpaKw4J5aljbEse5G/k2C9duJRzXDri3JceHhVhrDPKC2jR+iAXOwa2b+fr9KdjtNpShoTT2yWdPnBVJYDSRYwdQkoWqIAiMfvtdajRoyOZlS7ixep27GWCz5nR/fxrV6tYjIP0QiCLHr2WSrQ0mvFzZEsfxatyQ7GUrQSIg8/HBWb0q+vx84rf9yM44JY16DyG3SmVOb1qC025HHuCPT+sWIJFgOnkae0oqynLRyEND2bp6JTvXruaVjz9l0WefoG1Yn6Chgwrz8/RV6vGErSw/p3xFeR8jq4w/gpf7uzL6VHlGDa3HzF+Wce7wIU7t34fdbqNc1Wq06Nr9npvkSV12HuvSgPgLMrauu0LGlp8ACClThgGvvk6Lrt0Z07Uj5kuXi4i+21gTE2kQYKdslerEtB1Jm0qtAHezQABFZMmRUEVIMBKFgqy0NERRZO/6VYQd/wanKY9lF+zcMM6jVfceDBo7Hi+f+ytAeBDxiBwPDz03bi1vlNcFldrPxmy28tPCnbw4UldE4ACUj5bzxbRAhs8voP+AZvSuW48ad1myKY1UszusHaz2QSpIaNykMqfPf8qqFYc5dPAKggBPP1eNvv2boFbfWz7OHwXOF60G8+vio1ydep0Wn1UiAxmvXJPyfUMbL47yo35tFa16X2f9umP0H9C0cBxBEPho9gj695lBy97JvPqCjhpVlJy5YuXjQ5CiF3nlic74lxA9EUWR999dQqc2WpZ9G4pE4n6Py0bJ+XJaMDn+KvYduEjrJtX/p2qos1lJuESRMK2O0L/g8u7hn+PC8WN8OflNtHVrE9K7BwofbzoWHEaRkcTS1eexvPYKb8/7tsTvnyAItOjWnRbduiOKYpHXSJ1WfPPcScBn8zR3TVIu3OcSQaFA5qvDv1tnOpvCcB0/xPR5q+no04afZn+ET9vW+PfuUXgu3/Zt0W/fSe6vm/Dr3pWA3j3I+O4HZr00AWuBmcjOHYvNPU3hzzhzczb67Cvc9tRaCxle7mUeiURC7WbNqf0XG+T55V1D6rITUac543vPYnhuLogiuoCAwrm07NqNvVu3oK1dE0XoHWNgl9WK3451REV4U7tVe66Vv7P8qfNzL0HbMzKRBxbPJ3Tk5OKy2fDx82fV/G+4uf4b+rWKxFqlGvn1a6G5dIXdmzdx+cwZ3v9uIZoSKsQeJjw5OR4eaqxOB8kmdyJneV3pP7AXLySSZ7AwsGfJSyAd2mrRhihJTMy6p+ZzJpOFxMQsjMY7Scu5VneicdDvfJa0WhVPDW/DvG9H89U3oxnyRKtCgVNQYGPF8oPMmrmWb7/ZXiynpiSBE6LxYekve+nSQMmi5nYi1SJJBQLPHFOQVgDNG6lp1VTDkp/3Fptz8xZVWffrm8jUkTw+Ko2YVvE8N9+MS61j+NC2PNmuZYnXumrlIa5cSePSVSu12iQw7s0MLl9z3+gzLFCznQ9WqwPTReNf9rHJtZi4eiufqe7/4DXm4Z9hzYLvUEZGEPjEYGQ6HdGuHLyw4QiJJLXjQC4eO8q1c2f/dJw/fj50hhtIXA6sSj+U5epgSUzCYTCUeKz5wiUEpRL/x/ujDA8je816FMt+wEfmQoipxZ7zGSyZ8zlyXx3+PbsVP1eHtshDQzDsP4hErSZgyONYC8xIFArkQcXFQJgzj69CzhTZtqifBkfaVTJTU/70Wu+GxGkjMMc9drZfdQSJBN+AAHwDA4vMe8i4CYSEhpH2yZdkrViN8fhJ9Nt+I3XmbJorMmjcrgN5/lVxSe88NEVVrEhkxUoYdu0ttKP4PXm79qDUaIiqUJHV87+mY+cYtHVqcSGyLoroaPy6dCLkxedJSYhn4y+L/qfrfBDwRHI8PNQkGXNxiSI6hfquXXpv3zhEseT9aQUCSEAhyu6auBx7PY2PZqxh7Zoj2GxO5HIJPXs15PVJ/TCr3T/891K+vmrlIV596Qdyc80EB8rRG5y89cbPjHq2Ix9MG0KW1ViiwAFIT8ulU3M5oWr4vqGtsF/OM8cUfN/QRo2qcvYcK7mCp3GTymze9g43YtM5nBBLitxAYIA33aJrlugP9f13O3j1pR8JD5HSu4sXDqfIql+NzP85j5/mhiLU0aHzEbCnWrBnOf70uktCFEWOpN9ExN3d2BPFebAwG42cP3KYgMcHINyquqvucC+JXJKFoIwph8LXlyO/7aByrdr3Nbav4ToAubpKtOpRhiVz5pCzai1BTw0t0lun4MpVTKdO49+jK7pmTaFZU8wXLlLmt5+wJSlJKtcAWVAQN69eRVmtaol9eW5XJRlPnATcfXrkgYFur6mcHOT+d9omhDnzWJz/E9GCgdgcFyN2K1nUX0t5bz07higY9MZz5CsC0Wi0NOnQkaYdO6G4FWm6dOokW5ct4eq5c0hlMuo1b07nxwYTXrZs4fiBuecLy+71uqK2Fr/HS6fjgwU/smHRj/y2ZjWZ+w8ik8vp36MVw9qH4x0QxFX/msWuc+iLE/howjgyvv8R366dUESE48jJIW/nHvL3H+SJCS9xcNsW6pRRE1IxCrOg4IL0Tj6jIiwUbcP67FizigGjxzzwJpx3wyNyPDzU3PY3iva5e/SlekwUPj4qlq/Pp0Gd4iJm7UELdrtIgyqlW0FcupRE984f4K1x8MHrftSspuDiFRtf/XCaTu3O8PqSQSgDlaikd8/a27b1NKOe/orHenvzwevRVCirQJ/n5Juf8nh75jZcEpH41gUlChyAkFA/zl12L9H9UeiMOi7HcNVBaMjdm+5JgqRYrS788aJxSHmCS2j+d+J4LK++9CNjn/Zl9pRApFL3jW72e4E8MzGD0Z8beHWGD6LDSd5pI5ET/5r9Qlx+NikmPRJBoGFI2b80xoPK7aoqeHhD/jaLO1op83Ffg1K0U87lbhp5WRqCIJEg9fbCWmBGFEXSEhNw2O2EREQW/vD/cbz9WzZxfPMaBoWlotJquVHFh/pdKjP2g6l88torWKd9hHfTxki1WsyXr2A+ex51lUr4tLrTd0YTU51q6RFYE5K4UaEzuEQkEsldzS1Fmw3hd2JeqlbhksvJ27GLwMf6A78TOK5cbuRLaLfcAS++yBC1g8X5P1HBL5el7bLpvNPF5XwFp957m9ULvuPtr75h78YNLJ83F2VoCKqYajjsDnZu3sRvq1cxYcYsGrRpi9KSQ2CO27U8Pah42f0f0Xh78/jzY3lszAvYLBbkchmVEn9FZc0l27dqiT1t6jZvwUsfzeb7j6aTMutTd1K4KKL28uLJl16h25An+HLSq7SO8UOQSjgti8Dxh3koy5Ul68Ah7DZbif5gDwsekePhoUUURVJNegAitaX/qIuiyKyZazEYLHw+30Krpmp6dLyzbHXluo2vlpmIrBRM/aqli5yXxi8gPNjFnrWR+Pm6bwid22p5ZqgP7fqlsHTxPoa92AEXpTcPFEWRaVNX0Ka5hp/nhhTmt/jqpLw+zv0k+c5HO/h00HNsTD3HZ60GFes+PPiJ1rz60g+cuWCldoyyUOiMOi6nuWjhrQMmvlvYqtQ5pBj17Em+ighU8Q2lql9oia/79uttlCuj5JP3AwvnCaBUSvjgwxAOTDFw7IwF58V8gny1dOxUq9RzlobN6eBImrs/R62AyL/k9P6g8ke38XvvtvRg4e3ri1ano+DqdTQ1YqjozEIqusiWaMmSeOE05GNJScVsNDKhXy/SE9xN5VRaL9r27sPjY14oTMY15uXxwZhnib96hebNyuMM8ONiegFfT/mAiqvXMfyV10AUkXp7k7tpKzidCCol/n164tO8KYLszk+WRHQRGhmA9XwaZxf/ijUri8gaNYm7cBGn2VysKsllt2M8eRqvenUAsGdmYUlMonmXbhzYsgnR6aRq2/osVm0k2qXnhlFK6wUGHENGovbSkgoM8X6Kn9O/poKfla1tcxmkHkyqpC+Z8xcy5dlnyExJRlW5Is58I8bjp5AF+qPr3hnzhct8Nuk15qxdRwPzEQSXE6NXJAavsvf8dxAEAaVajX/uBVS3yuUz/UuPnDVs2456LVtx9shhslJT8Pb1o27zFoXO73VCwD/HjFmQc0ZWPAfRkZOLTKFAJn+4S608OTkeHlr0toLCaqZAdelPygsX7OTT2RuY8po/ndto6P1UKs16JDDx7Ux6PZlMjdbxyP286dW7Eb6lLHldvpzM4UPXePcV30KBcxsfbylTXvcnPjaLtNRcbM7ivXFucyM2nTOnExj3jK6IcLjN6Kd0SCRQcMTIDx1HlGivMGhwC2rWKkPHx1KY94OezCwH5DtofSmDGc/E07RZJXr1blji+RPzc9iRdBGn6KKMtz9NwyqUGoo+dOAi/Xtois3T4oQDeTIqV1BwfFsem5bkMv2jYUWque6V4xnxmB02fBQqagUWryB5WLldNn7HbbzJQ1tZJZXJaN+nH6YjR7Elp1DJ6Y4iXpEGu/vdbNiIIAgc3LoFo78vIc8+Q9iLL6Bs2ohtq1fw/nOjsBa4u/p+++H7JCcnEv7KBOr2boW6SmVy2vchbOI4bl6/xtKv5gAQ9MRgys6egaZeHeTBwehatywicAB8xQIkdhs2l0hmfBrysFBiz5/DabeTueAnnPl3rEycZjOZP/2CaLHg3aIZTqORrEWL8QkIZPTb7zL81Tfwv3KKpcZFRLv0xOa4aL9KwD5oBOoqd5aTUqU6Om5QccMopYK/hGXiaqKD1fgO6ENmSjLIZFhvxqGMjMC7SSMEmZysJStwFRTgFEX0W+aitObikKlJCm1ZYtn93ZA5zARnuS000oPq45Td3ddNKpNRt3kLOg54jCYdOhYKHInTSq86QThMZvYmgk0o+t66rFbMR47SrFPnEo08HyY8kRwPDy23zSQDVF5IgF07z/HrhhMUmK1UrRbJkKEt8fP34otPN9C3mxaFXCAwQEqPjhqyc11s32PC6XL7KvUb3AxvbzXaUvJprl5xJxq2bV6yCGrXXI3zIwNZ2fnkWNxO3g6Hk5XLD/HjD78Rez0NHx81jZtWBSA6suSnI1+dFF8fKXl5ZpQlLHvdvJHO3j0XGfBYC3b9dpbxky8wdpL7R0culzBgYDNmfvxUiYLjel4G+1KuIYoiUV7+tImoiuQuN1lBEIrlMLlE2J4uId8BEpuL/DMF/LxkIt261yt1nNJIMeq5nJsKQLPQivfdZflBJsmcxdWCvsgL1A+tuPk9fZ4eyZnDh0ifMxf/AdHYA/04nS4j7cB6LPEJIIr4de+Cb6cOhceoKpRDW7smcZ/PZduKZTTt2Jlju3biP6AvysgIQgvcEZ9kiS+qsjp0nTtycYO7F5QtNQ15YADamjXI/PFnbMkpKCKK+ikpnDasSUlYdUGUeXsi4HY3z1i4iILYGyS+OxV15UogkWC+cgWcLtRVq6Dfso2CcxdQazS8MfdrFCoV3Qf241O/1fha04jNcdHmRxPG1q3wq1a1yDmNx06QeTGR/i0eY7VsF+U1Vn7JX0T9kzqQSJD5+hI27rnfOYRDwdVrpH/7Pc0r++CddRGEiiSFtcIpu8+opSgSkbYfqdNGgSqQXF3pTux/RkjWSfzDApEHRfHbwi3o+qnwqlsbQSbDmphE7toNYDLTa9iIv3yOBwWPyPHw0JJtcbdDl1kFOrd/j+PHb1KpvJLAAClrVh9k2tSVvPJaH+Ljs0lOhi07zdSspiAl3UlSioPObTX89GUI5RrHcyM+ncAQH9Sl2AhotW7xk57pxN+v+Bp6WqYTe7YdhVxGmtmAzebgySGfsW3rGTq00jJ2uJKkVCtL1x5EJoWVv+ZTp0ZxQXX9po2MLDtlyxb1bMrNMTLuhfls/PUkguB+AHS5oGGj8gwa0orAQB8aN6lESIhvsTFdosiZrMRCb68KuiBahFdCKtxdVDRrUZ2VG44x7c2Awnycw9kCSWYBl0Pk6OIsnn66418SOFang32p7tLhqn5hhHsVn7eHBweNlxfvfvs9R376BCFpO0lX4rh65AjVGzTEu0IlThw9gq5dm2LHKctEoalbm22rVuAfHILocqGtWwetaMVLtCIKApm3PKa0dWuTs3Y9wVFRGHbuRlO9KtpaNdAHB5G+4EeCRzyF8lbvF6fRRPaa5bi8CpBVqYTociFIJMgDAwkbN4ak96dRqXJV1FotLpeLwF59ydfrSU6IQyHYafTsc7Tr0xedvzuPzClVcq3qk1S9vpiNZcbgtf8HkjZswnL1Ol4N6iFIpZjOnMV89jxejRuir96QXvtyWB1+hO/8a5NzbB0AAQP7FhE4AOrKlWjYuT7tTGcQRR1pQY0waSNIjL3O5iWLOb53Nw67nXJVq9F54GM0bNu+xOiqX95VvIxJiIKE5LCW8Cff39JQWbLw118GBCqPnEnNzC85+fMScleuRqJQYjcY8AsJZcTU6RzatpUTB/bhsNupVL0GnQY+Trlq1f7Sef8tPCLHw0OL3lrgzrd5exVJ8UnsWBlBm2ZqBEEgO8fJ61OzmDZ1JQDPDdPx3isB+PlKcblE1m428czEdEa9nIHaS4rD4c6jkUlKTgJs1rwqfn4avv5Jz+dTi5tGfv1jHkqrQLlyweRaTUz/dDW7d51j0+JwOre905dn6htOOgxM5tOv9bz4jC/BQXe+gi6XyNszc/Dz09CjZ/3C7TabgwF9ZxIfl8T3n4XweC8vZDKB9VuNvDoliTmf/8rOPVPx9Svejs3ssLEn+QqpJncPnxj/cBqFlLunaonRYzqzbOkBXnwrk88+COKKWcIZvQS7XWTn9xkUZLt4+pn2OBxOTp28icVio3KV8BKF1u8RRZEDqdcw2a34KFSPXLLxo4rGy4tBA7rgnxVGkjScWuEt0Xr7MOul8SiiIostJ91GWb4cmcdOIIq3c9VE/F3udgu5ghr7HxJe2/Toxcr535A+bz66zh0IGvEkGfMXkjLrU+RhoQhSGbaUFCK9RKirwHbmDInLr+HXpRPeTRohUanQ1q9HxtXrfLVx6z1f343oXsRHdiZEquTd+a2YNfFFTh08gOXKVQDkoSEEDOyHd9PGCILAtVOxNLoQhLS2+8FIUCrdkaM/UMWRTrsaSkyHRNLVZQn0q86JvXv49LWXEbRaNPXroFSpuXHpMp+8+jLt+w1g5JuTi3xHldZcQjOOAG6nd6vy7oUFpSK6iEg7AKJInk85XEEVee2Tz0m+eYMTe/dgt1qJrlIVtUbDrJcnYHc6UNWIQaLUcWDvbnatW8PQ8S/R86lhf+38/wIekePhocVgKyAhPpOzRxL4dV5wkaWkAH8p334czNkLVuKT7Lwxzo+bCXbMBSIRYTL6dfeiwOLiqbHpCDKBkBB32bIoilDC779areDFCT2Z8u4yQoNkjBvpi5dWgtnsYt6Pecyel8v4iT2oFBhCbG4mKw8dYeRQ7yICByAwQMo3HwfTrHsiddon8vZLfjSpryIu0cGX3+ex95CZ7xa+gEp1p+/F+nXHOHkyjkObomhU984afP8e3tSrpSKmVQI//bibFyd0L3KuhPwcDqReu5W3JKVZaAUq+t67q3eduuX47ItnmDh+Ab+edFCrnz9OF5zZrCfnrJnvfxjL5k0n+fzTDaSmukWUVCrQo2cDps18gvDwkp3ML+emEWfIRiIItI6ogrwUYenhwUNjyUQikSINrYLW250vpvHywnXtarFGf7dx6vWotFqq1qmHcKv7sHcTd4J/vnDn82w6dRqJTEa7vv2pVKs2C2ZOI3XO13fO7e1NkI8vSTdikQcFIunaDl10Nt6WArzsRrKWLMdlsaBr08pd7WWxFJvLn+GUuqOrgiDw1MuvcepAL7yaNMKvV3ekGk3h9eUfOoL1xk10I57CnpNTam5NdUcqHexXcYouTqc5qfX44+Tn5fH5pNdRVqtC0LAn7ojDTu3JP3yU35Ysp1rderTo5v4+S5w2olJ2InE5MGrDyfKvcd/XdZvAnPOoLNk4pQrSgu94YkWUK09EufIAGA0GxvXsihAeRsTTw5Bq3MtqotNJ7qat/PL5J0RXrkytJk1LPMeDhkfkeHgocYkiJruVa9dSifSX0r5l8fVtiUSga3sN0z7PJapuXGF+SbsWaj54I4CBPb154Y0MpAo15cqFAOAUXcgo+Ue3bbsYZk6X8/aMbKZ9nkOZSBmJyQ5MZhG5DPbvvcCoiZ05eTMemzc07lJyS/RGdZWEh8rReAXw4lvpuFzuidWtG82ylQPp2KloxcTypftp1VRTRODcplwZOf27a1m2dG+hyDHarRxJu0F8vrvM10+poXV4ZU7uv8HUn5aSEJ+Bf4APAx9vTp++jVAqS6+eeGp4GyJqBTF/1y7ik7MQMpz0bdyMkd915OdFe/h09gZGDPZh5NBIAvykbN9jZsaXZ+jW6Qbbd00pZl2RYTZwNN3tmtwguGyRxomPCgmm8//2FP4ZRBdqSxYAZrW78aYoikSWr8C+jb+SNudrlNFReDdpjDzYvd9ltWI6cpyWnboQGBZGw7btOLl5K4pyPcEPjIJbVFji4snbuoPmnbu4m+IFBPDJyrVcO3e2sDKoWr36fPrGq6TmZhP20otIVCqsBQdQq5TEDG3Lea0Xub9uxqtRQyxXrhFd/n8zmgyNimLkpMnMn/YBjoQk1A3qIsjlmM+cxXL9BoroMhTE3sB87DiIIqLVivnCRbQ1ayCIIo0dcTS2xwNw5IqerckqBtZrwOYli3E47YQ+PrBY9Mu7SSPMp8+waelit8gRXUSm7kVpzcMu15AU1vqel6lEUeTq2TOkJSSg8fKiUd2qbiNUIC24cYml5wB7NqzDUlBA5FNDCgUOgCCV4tejK9YrV9m4+GePyPHg4Z/E6rQjAna7Ez+tUOIT5IkzFmbP01OxnJxXnvejToySS9dsfP6tnnb9k9m0OBwfLwkt29VDLZdjdTow220lJvxeu5pKj65TqVRO4KXngklMdhAbZyckyMG+wwX06KRlw7Y4fl16lCpN3ILpjFVOhwJ3L5vfI4rgcEDf/k0YNboDSYnZ6HRaylcIKfFas7PyqFu19K9q5Qpyduw3YHM6uJCTwrnsJBwuF4IgUMM/nBq+4YwZ+TXr1h6nVoyKRnUUXI/L5LlR5/hqzkZWr51EQGDJYiMhP5tEtZ5OXetQzieQ1hFVkAgCN2+k8+nsDUx9I4BJ4+9EbCqVV9Cjo5Z6HZP4/JONTJ0+pHCf2W5lZ9LlwsquGP/wkk75UFO0bDyXQB6dkniFPR/B5cQlkWGT+2Axm/nktZc5e+ggMn8/ECD/0FHyftuNrkM7NHVqoV+zHonNRo8nnwLg2bfe4YPnR5O3ciXGesFkOYNJu7CbgqvXQCLhwokTrFnwHZ0fG4TGy4vKtWoXNhg05OZycu8e/Pv3KbR4SJD6U8WRTmVnBkkd22PYf5Dc9b9ScD2WTtNn/s/X3L5ff8LLlWPjz4s4vWU7TrsdqUKBIJViT0qG9AyCQ0LJSk/DbreTvXwV3oG+9PTPoawzBxE4GGdjxboLDBw9BplczrXzZ1GWK4fUqyS3L1DXrMGNFatxuVyEZx3D25iAKJGSGN7unpOVr5w5zTdTp5Byw92eQSaBsc28kDarR3iznuh9KpZ67IVjx1BVqoCsBN8qQRBQ163Nxa077mkeDwIekePhocTqdHfXDQ3yZc9FC2kZDkKDi36cX3wrk8oV5OxbH4VW4376qV9bxcCeXnQdnMLIiekkpzlp264GSrkKq9NIvt2Kn6r4zefjj9bi6+Niz9oy6HyKRnrmLtDz4luZdGqjYdFPu9g5cipT7HLOXLKxpaIXnUKdhP/u3vTbPjMZWXZat4khKEj3p0adEZGBnDyXUepywPELdsIbB7Pi+vHC9yVE40Oz0Ar4qbR8MGUFmzaeYPn8UPp19yoc4+RZC92HpvHcs/NYsfq1YuPeNGSxJ/kKLlEsInAAFv+yD1+djPGjfIsdVyZSzjNDvPnu591MmToIqVSCw+Xkt6TLmB02fJUaWoVXfqi7qJbEwczdZFvMj4TbeEkobe4lSZvCBwSBr99/lwunThA8cjiaGjEIgoDLbsewex+5v24ib8dOfIODmThnHuHRZYE7HXxzt85DvLAN84VLWG44UVWriqZaFezJqayY/w37N2/ivfkL8P5dEq8+KwvR5SpiPHlZGkwVRzpVnBkc8C6P1NuL/ENHaNq5C006dPpbrrta3XqUqViR90ePIuH6NZTVq6KIiMCemYXpxElSkxLRxFRD5hIJTL5Mj11fERAZQJ5Kw7pTBk5ezKRBm7b0GfEM4Pa8wlF6d3DR7kAikRCov0hAzgUAkkNbUqC+t6Xm2IsXmDrmWaQRYYQ+PxpVhXK0yT1NcMJxDu47TJq+Er1Gl/7eiIgId4kWCRKJe1n/IeHRqdn08J/CccuTpV6d8sjlMl5+Lwun884X7/xlK4dPWHj7pYBCgXMbpVLCu6/4czPBgY+Pil69G6JTulXI7Yqt31NQYGPtmiOMfVpXTOAAPDPEB38/CU6nSEJ8JnKZlKdbt+bkQRP7T1lZmyRld4aEAidcvmZj9CtZ1K0bja+fhhPHY8nNKX7O3zPgseacOldArTbxVGkWR7t+Sfyw3EBCnsi3hx0clamo0b0iVqcDnUJN28gqdIuuiZ9KS0GBjQXfbefFkTr69/AuIizq1VIxe4o/O7af48rl5CLnvJCTwu6kyyUKHIDExCxiqijQaEq+hdSvrUSvL8BotCCKIvtSrpFZkI9CKqNDVLUSLSQeZhJM58kQ690qG2/2SJSN/xG53d2ywSb3IS0xkcPbt+Hbu6d7eebWZ0Mil+PbsR1eDeuj9fXly7W/UqV2nSLjKJRKajZpgcvlQuHrQ9SUtwl7biS61i0JHPIYYS+/SHpGGj99MqvwGJvVSuxF9zKgPSOzcHu8xJ98iQq1aKe58RJOo4lG7doz7oNpf2t/lx8//ojkxATCXnqR4OFP4tuxHUFDHiNy8hvIfHXICowMGdaciePbERDkRWZSNl9vSiCtwIsJMz/m5Y8/RXpraapWk6YU3IzDnpVd7DyiKGI+cZIB7WsRlnEUcPfDyfMpf89zXTr3SyQB/oSMGY26SiWqkUUdrRF19Wr8FtiIpQt+JC+n+LlvU61uPSzXr+M0mkrcbz59lqp177+i8t/CI3I8PKS4BY1Go+TLr55lxXojDTonMXeBnuXr83npHfeNsHmjkptlNW/kFjVDnmiNSqUg9LYvlLmoOaAoiuTlmbDZnFStVLJzuEoloXwZOSlpDvz83OWwz43uTK9KdVg5P4u5C/OYucJMx+kmGj6TiU2uJjs7nxZN3qJD2/eoWmksz436moyMvGJjZ2UamDVjNRIJRJeR06WPDjFazavr7XSeZmTaEjNhkX60rF+VNhFV6FuhHuV87rixnz0Th15fwOC+JS9H9e/uhVwusGfPxcLrPZZ+kyNpNxBxl3f/UeAABPh7czPBUURY/p7Ym3aUShk2m53Xv1zM6zN+ZtaMtcwavpTPp/9KZmbxa/XwYCNzuBv62WUaTu3fi0Quw6tByT92Xk0aYdLrSbp5o8T9N28mkJedQ1Cz+sWWbRShoXi3a8PBbVsx5OaydflSnuvSgW/efw8EgbxdexBvRUJEQWC7vAoAVeKOUD1QwtOvv4mkBO+qv4ohN5cDW7fg07FdYQn7beS+OpoPaMXIwBSq5V5BolQS37Qn350TaNp/BJ+sXEuTDkUdzpt37oqPfwBZP/6MQ3/neyA6HOSs+5WKlmSe7eAWNVn+Ncjyv/dO4vrsbM4dPoR365ZIFHICXUba2d2tGo7Ioslt2gkROLSt9KqzNr36IJPJyVq8FJftjkWGKIrot/+GJS6eroOGlHr8g8aj9Tjl4T+HKIr069+EsDA/Pv90A+Mnn0EUITDQfeNMSHIQHFj8Y56Q7L5JNm/ubvYVonEvGaWbDZisFlb8cpDvv9vOhfNJKJUyZDKBsxds9Cwhymsyu7h6w47VKjJ2fHPAHZL+9JMRPH6oOfMX7+BmUjYKXwX1+gVz9UoK1aIkvNKkDJG+Es4cN/PN/GN07XqVDZsmExDoQ4HDRoHDzti35qP3yeeztRVQBcixuaAq0DTFwc/L8tBaVHw/fTTlg4JKrmy5JULk8pKXhmQyAYlEQHS53L1rUq6SkO/2A6sfHE2tgMgSxx34eDO+mruFJWsM9OvmjUolFHZGzje6+HZRPl271aPH09MxBTmIqaqgqZeEDJ2D777ZyPKle9m45R3KRBd1jk9NzWXzppMY8y1UrBRGp861kck81VcPAjKnu1rJKVPhsNsRZHKEUlr+37ZUsNtK9pG6cTMJuVSCf2jJFXiaGjHkrt/IqvnfsHXZErybNiayXRscRiNpc74mbd63+PXohrJsNDfzJew+m0Lt7Bu8Nag+vkoT+X+jiUbclcs47XY0tX5X1SSKVHJm0sQRj1+0Hf0VgcxsMwcCW5Is9UWoepYzRw7z2JgXio2nVKt588u5fDjW3c9HXbUygkqF9ep1YrRm3n2mDSERkeT4ViE9qOF9dUU25Li/u/LQENSijZ6288hFJ3FSf47KopHKBRQ6H/TZpUdyfPz8eOmj2cx+ZSLJUz5EXbsWEqUSy8VLWNPS6T9qNPVbtb73N/BfxiNyPDyUyCXuj67d5bZQaNqsCk2bVcFisWG1OtBoFNSOmcAX3+n5aU5xb6Yvv9Oj81HRtr37xuWrUOOn1JJdkM+IiV/x2y+n6dFRy5ihQejzXMyck8uX3+t59kkfgv4gmuZ8r8eQ7yIwUMvIZzsWbhcEoXBeTtHFoWvXGDZhDq27+NC+lftHIAUIaqfihfq+zP/ZwKvLltK+g/vJLTfXyPmCVHo+6Y/Ezy1wlBIooxHpUFeC7oLIezNS8JWoS81viakRhUYjZ80mIyGBUn5cns+ZC1bUKoGenbU4XSJWq4tqDaLYcPMMBlsBUkFC8/CKVNSVngNQpkwglSqH8szENIaNy0CjFhjc15s2zdR88b0Bfb5AltSEI8LJ6Md96FpRoJ6fCHjxxjg/2vZL5YUx37Bh02T339Hu4I1XF/HjD7uQSECrkaLPcxAermPOvNG0bVez1Ll4+P9B4nI/GLgEOWUqVcZZUIA1Lh6pzgdbQhJIJajKl0eq1WC+eAmpXF6Yi/NHzDJvdC6RQEe+OxP/D59f8Vb59651a/Fu3rTQPFMeHETocyPJWraS1M/mFL4+U6Om5aj21GxYEVJ2khFYjyz/mqVWImWlpbFj1QpOHzqA0+GkSq1adBo4iDKVive5ub3sJdodKEQHVZ3p1Hak4O9yL+dYRAk7bzq5GloGjdQXAEEmxWUp3Si0bJWqfLZ6HXt/3cCJfXux22x0G9CC/vUC8fLxIUdXidSQZvdt++AbGACCgDM5iZ5hOfi4LORKNGxVVEMUBJz5+dj0efgH3T2/p06z5sxatoptK5ZyYt9eHHYHdWrUovP7g6hev8F9zenfxiNyPDyUyG+Fox0uJy5RLFxOUakUhT1mXp/UnwkvLsDfV8rr4/wIC5GRle3ks29z+eI7Pe9OeRyt1r2cJQgClXyD2XHwLCeT41m1IJRene+YePbv4UW9Dgk065HElNf86dBKQ0aW2zn8q4V5BAZ6sXHL24SG+pY4X6kg4ci6K1hP5DP3W39yJC6yrAJ6G+TaBQSdhHo1FZw4G+9OhJbJyUo0YMuyMbCBjkgfF0FKEX8F3LaSGtTDizffz+L48Vg6d6lT4nl1Og2Dh7Zi+hc7mf55LgjQsLaS3DwX3y82oFYJ1OpYljhvPQ6bC61cSfvIqnf1AsvIyKNbp/fJzMjm+eG+NKijJDbOztc/5vHDMgMREf68/20/pi1dT7c2WtqVE6jre2dZKzJczrS3/Bj07BUuXUqiWrVIXhq/kGVL9zH9rQBGDvVB5yPl9Hkrkz7MZtDA2fy6eTING5VeEeLhn0cQb4kciZSajZsQEBZG+vwFuMwF3O7PIMhlaGrVpODSZSKiy3LqwD4at+tQzI28fJP2pB+Yh5CaiG/FAvRC0XLm/GPHUXl5YTEaCW7fpsg+deVKRL71Ovodu9Bv3MzgcePpOOAxNFoNeWn78c27TkjmCXwN18kIqIfBu2wRsXD28CFmvTwBlyCgrlEdQS5nz2/b2bF6FSNee4POjw0qcr5KMdWIidRS68Zv1PMtg1x0P1hZBRmnZJHsO5FCcoKTiCcqYjp9BuPxkxRcuoJfdFmunTtLxRo1Cx9CMlKS2bV2DWmJ7rLuJh070+XxQTiPLsd0dDU7Vu3iQIKd09ZQOg98nC6DhtyzQaY5P5/FX3yOIAi0id9NaK0mWGVKNihqYBHcY+Tt3I1UIqFpp85/Ol5oVBRPvfQqT7306j2d/0HFI3I8PJSopHIkgoBLFDE7bHiV4Dk1bERbzGYrU99fzlc/5BESJCcz245EIuGNN/syfmLR5nkVfII4eTSWmg011Giu4XbeD7hLo7ctj6BNnySefCG9cLuXl4IRz7Tj40+G/WmiY3xcBtWrKAnxlRKCWGR8gOBrdta+nUqPaTUJDfZj6UknX+/X09QvAC9t8bFvH/1nD3vdutdnwXe/MaSfN59MCSIwwC0Q9xwv4OkvTdgiBWwOJ5HefrSOqIxaVnLu0W0mvbYIU34ux7dFUqHsndeOH+VLh4EpmHzVXLZnANCjppQmAWKxOfbq5F5OPHXiBgq5jJ8X7WXO9CDGDPctfE2dGkrW/RhG425JfDRjdYkVYA8Ct8vGT6RKyCuQPVJl40Vx/xEFUcRiMhVuC3isP9paNRDtDozHTpC7ZRu4XKRmZTD37bdYOGsmz7/7Pg3atC0cKSiyDLmR1bBcvkaY5CS5FZq7vdJcLvIPHSF//yHqtWjJqUMHkQcEFJ+JRIJX/broN26mXNVqaLzcDyTJoS0xacIIzTiK0ppHVMouHDI1Bu9oDF5lSSmQ8fErE5GXL0vQsCcKS9FFp5Ocdb+ycOZ0yleqQO0qUagtmWgK0vEypfBW/xpcPXsGMU1GTmg5zsrDuSQNxXAjgfS1m9HEVCdz0WJsCYkoykShqVWD9PhE3h7+JO37DeCZSW+x4ceFLJn7JVKVCkVUJC69nn3rVvFMq3BCxBykXlqORDTiVGQ4lstX+eXLzzl96CCvf/YlcsXdv5PWggLeH/MsSfFx9O9dg+p519EfOsamiLZklRVx5CZj2Lsf45FjDB43vkjV2qOOR+R4eCiRCAJeciUGm4V8m6VEkQMw5oUuDHmiFWtXHyElJYfgEB19+jQuuS+MAxIPZ9ByQjCHsiVEaZzIf6ctmjZQ06SBBq1/ZZ58sjVaLxVNmlYu0p34buh8tSSl2HE6xUIvqN+TmOh2VNd5uwVA02aVEQRYti6fZ4YULzNftjYfpVJKgwZ3b3o2/5tt1KimYuHnIYXnvWEUiAvwYtBIFd//nIfzpo1OPWLuatgJkJmZx/p1x5j1jn8RgQOg85EydnIwbyy2kJ2Tj/mGmRipGkEo/v4YTbdyhRQyVq86jM5HxohBxftyKBQCzw/3Ycxr58jNMeLn71XsNf8mj3rZ+O8Rb9kvCKKT7SuXk5uVSfhrLxc2/gPw7dQeRXgo6fMXEjDoMeRBAeSu28gnr73M0PEvUblWLcpXq+52xx78IvGLPyBk30Z+W3UEaYA/juRUbDk5tO/bn1pNmnJy315saekoQov3kLIluSsCA0J+t08Q0OsqYfCKJiD3AgG5F5A5CvDPvYx/7mUKTp3k+XogdKmFVXIDbCAiIBOdaLtF4lT4E7x/NuXURZPvKjdpw+FEO98vOE6a6ibK6Ghs6RnYEhIRFAqsKSmIVithE8ehKhvtfr9uCbbfVqyiwGTi4NbN6Dq0w7dTeyRKJb5OE51ubEN1/jhCSCj7GgzgmiIMb8C7YQO8mjTiwrz5bF7yy58aZe5at4b4q1fo/8oAWviasBv8WLzpOqc2rgBWAKDx8eHp19+k48DH7vdP/1DjETkeHlp8FGoMNgu5VhNh2tJ7zeh0GoaNaFvq/tvIZBIKrpsRrS4MdjiQJaFNsKvIawxGF9GVfOje070u7XS6OHTwCtlZ+URE+lOnbum+UAMGNmXOF5tYvt5YrNrJYnHxzaJ8evSsj1rtFgXRZYPp1r0eb047S72aSurWvBPy33e4gGmf6xk0uCX+AaUvLdntDrZtPcPs99wmmwY77M+UEG92z7FWtJTgZDPnN99A0rP9n75HV6+k4HC4itlViCKcyBUwhWqQyaz4W9Vww8aiFQY+eKN4EuiiFQbkcgmtWlfn1MkbhIfIUKlKjoSVj5YjiqDXmx4okXO7bDy2IOiRcRu/Gy6Je8lD4rKzc/06NHVqFxE4t1HHVEceFobx6DGChz1B0PAnSP74MxZ9+jGIIr7BwfQbMZKufbrTqkcvqtZJJOegifgsE0FVYmjbpy/lq1XHbrPh5euLfusOgp4aUuR7JTocGH7bRYUaNQvtCIrMVaogM7AuWQG10JpS8THG4W1MIDMlicCIALxkZnCYix1XUCaEzMRk7HINBaogClRBGLURWJT+NH1zMLYa6/h+5jSMJ04hUauRhQTjyMjEmZNL0LAnCgUOuKNNPs2bYk1M4vDOHahjquHfsxsAlR0ZdLBfwekwkGGDfTUGkKUIK/o+VqqItn5dtq5YRs+nht+1r9Rva9fQvnUFWvi6I2z7A+uhf7onEckp2DKz0K//lZp1G9Dpscfv9id+JHloRM706dNZvXo1ly9fRq1W06xZM2bOnEmVKlX+7al5+JcIUnuTZMwlq+DufWbuFblcRtvWMZxcGU+duuFcMgiEqwUqe7ujDqfOWTh7wcLLk+oAsGb1Eaa8s4T4+DuVCtWrhzNj1jBatqpebPzadcrSo2c9nn3lNIZ8F08O8EajkXDqnIXXPsgmIdnFtz/0KnLMF3NG0rf3dBp2TqRTGy1VK8o5c9HG7gNmmjWvzIczht71mux2Jy6XiI+vlBM5AidyJThFd15PHV8X9f1EvlaIWKz2e3qPbltA5OY5C7eJIhzMEjibJ8FmF8m/aKRyy2BGPNOBWV9tJqaqksd6ebmruESRjTtMvP1RDoMGtyAkxJfo6CBi421kZjmKJXUDHD1pQaWSERxy96aJHv5Z7LdsAOQOM/rsLLR1S04GFwQBRXgozlvl0YJUiq5VC7KWriDkuZGYTpxiwcxp5OtzGd+jCiGR8MrICiSHF63YkSsUDHv5Vea+/RaizYauXWtkQYHYEpPI274TR0oqT339/l3nLApSjF6RGL0iQRRZELsDo2CmfOOqKHHnGAmACwGjoCQly0jWiWQqTh9UbCwBaNO7D007debgti3s3fgr2elpOIKC0Ov1aGuX/H54N6yP8dARVJUroRAdtLLHEuNIBeB6uoUV6cHofMJKPFZdrSqZR49TYDSi8S79Yaa8kEaHClEAHJCX56zMXequiAhHERFOwYWLZKen3fW9elR5aPrk7NmzhxdeeIHDhw+zfft27HY7nTp1wmQquWGRh0efQJX7qT7NnPe3deAcN6EHJ/fls39lLlabyO4MCUlmOHfJyqDRGVSqFEK37vVYvuwATw+bQ51qFvatjyT9fHk2LwknwEdP/z4z2b/vUonjf/v9C/To2ZgX3sggKOYmITXiaNApkSs3FCxf9Sq1apct8nr/AG+27niPL+eOwmiPYPMeJSjKMn/B86zdMKkwcbo0lCo5FZqFsTRBytEct8CJUIs8FuWkcYCIIc/J0VMWYmLcUYjsrHyOHL7KubPxOJ2uYuPVrlOW0FAfFix29xOyu2BbuoSzee5bSe4JA6bLZjp1qsPb7w6kR89GDB2TRvWWiQwcmUqtNkn0fiqVZs1jmDHL3ep/wMBmCILA1M9yiv0dU9MdzF1ooP+Apn96rR7+WRyFIseEzj8AW2rJP5qiKGJPS0f6O1sA6a0cEEVICEFPDMa3cwdWzv+Ga073j7su/waqW75Yv6dltx5MmDELrT6P1C++IvHt90n/dgEhChWT531LlTp17/0CBIGytRpw/fQNLjp8OSOL5IwsktOySM7KIoiVBHDz+FXK1Lh7ozulWk3b3n1599vv+WLdRjo/NgiJTAal5OQJt/JporVOhlqPE+NIRRQEjsnLsCQjgPx8S6n3L5fZHW26W/JxYPZZuldV4jKbOSwvy3F58YiiMzMLnX/J5fqPOg9NJGfLli1F/v/DDz8QHBzMiRMnaNWq1b80Kw//JqFaHVJBgtFuRW81l2jHcL+0bhPDZ188zcsvLWTXGTvl62n41uziwvpsojS+rFj1Gi6XyNtv/sLjfbz55auQwjBypzZa2jbX0H5AMm9NWsTufR8WCzGr1Qq++e553pw8gM2bTmE2W6laLfKu/WBUKgVDn2zF0Cfv/XPuEkXiDFmczkqkweBq7Nl1nkYJNp5sKKOilzsR2OUSefX9LERRQucudXj2mXmsXXMYu90tbsqU8Wfiy70ZNqJt4XXI5TLGje/BW5MWU76SknKd/chxCgiIOC8b+eS9dB57vBmRke5k0e9/eIFRozuy+Oe9pCTnULO+jg8/bkGr1tULE7UDAr2Z8sFg3njtZxKTHTw/wpewECl7DhYwa24eSDS88Vb/+/tDevjbsSrckTSlNZe2PXuxYv432Dt3QB5YdDmy4NJlbMkp+PXoWrjNcuMGgkqFxNv9YKJr14b8PfvYsn0/lbpUQGe4SUTqPm6U7VWY+3ObJh070ah9B2IvnMeQm0NgaBhlKv01W5D2/fqz7seFZC1eTuCTg5HcEg+iy4V+yzYsySl0nfzefY1ZIaYGDrMZS+wN1BWL58e5zp+lRxU5zWTX0LgqY5Co2CavSrLUF3WMFcOBw1hvxKGqUK7IcaLLhenIMWo2blKsOs39ApHgrJMEZZ+hbKXKfLP+BFcr6pD9QctYbtyk4GYcLZ8be1/X9ajw0IicP5KX5w6F+v9H1akHkEukhGl1JBlzic/P+VtEDrirstp3rMUPP+zieF4ccn8JT35Yj8EtmhAdGsTmTafIyMjnrQllit1o5XKB18f50evJRC5cSKRGjZLzNKLLBvPc839exnm/OFwuYvMyOJedhMHm7jXStFEVUvZnMHPEBW728KJLOw25ehcLlxo5e9HCzFlP8cTgTzDl65n+pj8d22jIynHy3c8GJo5fSEZGHq+90bfwHGNe6EJcVhafHD6B91UDIX4CGXsN3DxvokvXOsz+7E6S5O97Bd2N0WM64+fvxawZq+n8uDuhVCoV6N6jPh9MG1oomjz8e1iVfgDI7Sa69OvLrg3rSP/ya3TdOqOtVQOX3Y7x2An0W7ahrloZdVX339yelU3+/kN4N6xfKCokKhWK4GCyUlNIDR6KlykFlTWXkMzjpAU3LnZuiURCpZr33vm3NPyDQ5gw/SM+feNVUqZMQ1WnJhK5HMv5i1gzMhk89kVqNCp+/vSkJBKuXUWmUFCtbj1Umjsl7zENGxFWrhy5q9eheH70nQ7OokiFpDPUMx8mNCaQ/KRkToXW5HBoA2yC+6dXWaE8EpWKjB9+IvjpYajKlQXAaTaTu34jlsQkek96u/iFiC7CMg7jn3vZPU6zoZz6JRbj3G/w7d0DTUw1RKcL08lT6Nf9SoUaNWnQus3//P49jAjiw+S0dQuXy0WvXr3Q6/Xs37+/1NdZrVasVmvh/w0GA1FRUcQnf4uPz6Na5vnf4qo+nf0p1/BRqOhfof7fbvroEkUOpl7nqt5dNh6u9eXGjiTeeXkxtqSS+7YkpdiJrh/HspUvo1YrOHL4KggCrVpVp2Gjiv+IMaXBVsDl3DSu6TOwOt35NUqpjOr+4VT3D0dwwvxvtvP9/G3cvJmFIEDHTrV5cUJ3Nm88xS+LtnNsayTlo4uGxd+blc3UT3M4fe4TykQHIYoiV/XpHE67QUZWHpdPJuE4byHYx4eBjzX7n69PFEUuXEjEmG+hXPlgQkJ8/5e35R+jqNt4WQIJf2QTj60FBRzYupmzhw4xIDSFsuH+OFuMJlsRzNfvv8fZgwfuvFgQkHp749+7BzJ/PwquXcewZz8SjZrwCWOR3ir1Fh0Okt6dSo/HBjHohXF458dRJnknAKkhTcjxK57T9neSEhfHtuVLOXnwAE6ngyo1a9H58cHFfLYyU1OY/+EHnD10sHCbUqul26AhDBw9ptA+IvH6NaaMHonFZkPToB7lQtS0sF0nMC8Vb52OBr0e5625mzh0PgFtg3qoypfDoddjOnwMl8GAX3AwmUlJqMLDELRarPEJCC4Xo956mza9+hSZk+ByEJm6G5/8BBAEUoObkONXjYyUZL58axLXzp5BkEoRb/n7NWjdhjHvvY/Wu3j14sOE2Wjk6dbNycvLw6cEh/TSeChFzpgxY9i8eTP79+8nMjKy1Ne99957TJkypdh2j8h5dLC7nCy9ehS7y0nnMjFEePn97ef4/Q+7U3Rx7UoKi6bt5ND8QGIqFi+P3rbbRNfBKVSoEERsbCYB/jJcLsjVO2jYsDwLF40nIuJ/j0BanQ5ic9NZs/c45xOTEIDo6CBqVYumVmAklf1CkUuKhv5FUcRstiKXy1AoZDidLiqWfY6nBymZ9W7xShmjyUVU3TjGjO3Fy2/05lBqLNfz3D1wynj70zK8MspHzGzzz/hj2fijKm7AbWkwbdwLGHKyUZcrS7doJzWFTI6lQrVRM2jQug1piQnEXriAVCrFarGwaeli4i/fykmTSPBqUA//Xt2R/i5x1nDwMNnLVvLxitVElncv8QRlnyY48yQIAkmhLcnTFX2IsBSY2b9pI/u3bCbfkEdoZBTt+/SjTvMWf6sZ5230WVlMenIIJqcDny4d0FSritNcgPHwUfJ27aFt7z6Mfvu9wtfnZKRzaMUCZBc2E622IgI2h4u98U7Om33oPWIUBfn5bFu9krzMTKRyOU06dKT3sKeJLF+eUwf2cWz3LmwWK1EVK9K2Vx98/7AUKHOYKZO8A3VBFqJESlJYKwzeRZe5bl6+xLWzZ5HIpNRo2JjQqKi//b35N/jPiJyxY8eybt069u7dS7ly5e76Wk8k57/BodRYLuWmEq71pUt0jT8/4C+SZy3gUFosCXnZfDVnM1XLCgxpoUCRbSU6QELDOkpEEdoNSObYKSvlysiZMz2QNs3UiCJs2WXmhdezUGr8WLnmdVavOsLBA+5wc4uW1Rj6RKuS+/f8DrPdSqIxl0RjDieu32TlyoMYDBYC/KS4cuzcPGIgQu3D4uWvULVqxF3HAtDnmihX5jmWfhvKwJ4ln7tFr2Qiqteh68TG6K1mBKB+cFlqBkT8I1GpB5kE03lOmsqw84bskY7egLuD7vh+vbBrNQQOfxJ5YAAVnZl0zT9N6pnLfLIhhRk/LyGqYnErhMzUFG5eusyXk99AFhGOb49uKMuXxVVQQP6hI+g3bqFFl6688P6Hdw4SRcLTD+KnvwJAln9N0oPqgyAhJyOd9597lrSEeDTVqiIN8MMel4AlMYnGHTry4oczCl2+/y4WffIxW9esIuz1l5H5Fq3sMxw4RPbyVcxcspzoylVQF6QTnH2GgmtH2bvxVyS+vlwu15BTofUxZBvI27UH49HjDL/VUdlutSJTKO5LnKksWZRJ3oHcbsYpVZIQ0QGzpnj/oEeVvypyHppHMFEUGTduHGvWrGH37t1/KnAAlEolSmXJTeI8PJzE3cwgL89MZGRAoSCoERDBZX0aKSY9aaY8Qu/SM+d/QadU07lMDHH52RyJucKBE1c4dcntT2PLsuHnyEXncnLmWAFKpYTty8MJD3V/xQQBurXXsnmJnBqt42nc4DXARbsWbgE0beo5Pv5oDYsWT6R1m5jCc5odNtLNBjLMBtLMBrIt7nJ5o9HCkiX78JM5mPqsls41ZPjI4eRZNcPHZ9Kv13QOHpmJr9/d85Q0WiUKhZS4hJJLyB0OkWSJDP9KoLeaUcvktI6oQrjW939/Qx9yHmWBA7Dn1/UY8/KIHP88slvVUXESf5xKFeH1Y4g+pmfTkl+KRDNuExQWTlBYOJPnfcvcdyeT+sVcJHIZLocTiVRKh34DGPbyH+wCBIGUkKY4pUoCs88SmHMOlTWbpLA2fPrGa+QY8oiY9CqKELfvkiiKmM+e5+iPP7P6+/kMHD3mb7t2URTZtWEdmsYNiwkcAO8mjTBu287NrT/TRtUEjdm9nH348GEuu/y43HwUeXL3/UkRriVo6CAEuZylc+fQpldvVGpNsTHvhm/edcLTDyC4nFiVviREtMem8LRUuBceGpHzwgsvsHjxYtatW4e3tzdpae7yRZ1Oh1rtico86mzfdoYZH67k5Mk4wN24r0fP+rz3/iCiywZTWRfCFX0axzLi6F621p927v2rCIJA1mU9m6YeonpjNb1H+KMMUZKV6+TgcQvXb9iJ6uNLzTIuEuVyTPngLRPRyEAtdXfwlUmhbTMFP3wRis5Pit0FSZkOXng3hxGvzeXLBc8i85GTazFhdhQ3+QtUe3Fpaxy5uzI5sj2SoMA7S1L1aqnYvDiMik3i+XnRHsa+2O2u16NQyOjVuxHfLjrJ8yN80WruPFka7DBjix1LmIpqNSKJ8vKnRXjFP7V98PBocHL/XtRVKhcKHACHIOWaNIjqYhqNm5Tn19/2MvouY1SpXYfPVq/n4vFjJMZeR6XRULdFK3xLsGoAQJCQHtQAi9Kf8LT9eJlSCDgyl8Dscxj7P1EocMD9XdTWromleVO2Ll9KnxHP/Kn9wb1it9kwGwwERoQXbhNFEfPps8iP7aOqLY3+MRCcuR9rghfqoBBuWHx4/9dE5EOHo5UXj4rqOrQl6cAhju/eTYuud/9eFl6jy0FYxpHC6Fa+VxRJYa1wST0P7/fKQyNy5s2bB0CbNm2KbF+4cCHDhw///5+Qh/83Vq44xLPPfEXLJhpWfBdGdKSMg8csfPL1GTp3uMzWHe9RJyKKG4ZMMgvyuZSbSox/+J8P/Bd5a9LP1KgqZ88PwahUEvLtIjdNUppX1vLlcjMXr9tQhKg4mVs8FL19j5XQfsF0HePHylwBMff2HindJ4Ry7Rs9y/cdoXVrdzRHAHyVWkI0PoRofAjT6tDIFMxcuoS+rZVFBM5tIsJk9OioYf26I38qcgBeerUXHdueoOvgVGa9G0CDOkqOpcP3++1s2WuhcsUw+tdrQBXf0P/c8tR/GbvNjlBC6fIFaRjVHWnU0NnZQelO27eRSCTUaNS4xKql0sjzKY9F4Utk6h5ykk7RpYoKsaKJI440rkmDcf7OXVxbrw6pe/eTFBtLuWrVioyTkZzEzrVrSIqNRalW07BtOxq0bvOnppdyhQKV1gt7mjtC4+M0E7hjFRXSLxJV2R95cEVEh5OsuFTe+WwFDUdORh0USa4FIkuwoACQ+/sjVSnRZ2Xe03ugsLm9t1SWHBAEMgNqkxFQ976dyf/r3JfIKSgo4MSJE/j7+1O9etHsd4vFwvLly3nqqaf+1gne5iFLHfLwN2E2W3ll4kIe6+3Nz3NDkNyy4K5fW8Xjfbxo3CWZKe8uY8GP42gQXJZDabGcyIgnyssPH8XfH+G7eiWFY0djWfFdWKENgbccavmK1PKFct2kNOyfy7VcNWO7q8mxQYFTwOQApwixcXZiqiqRyIQ7BpuAQgIB3lAnHG7sS+LNQb3xU2rwU2mLJQ8DmEwWQoNK//qGBku5HGe5p2uqVi2SVWtf57lR82g5OIXgJr7gLcXlgjrlo/l8wjBCdJ7Q+H+NclWrcX39WkSHA+F3+S4pUh2pUh3eWZn0avzPLdlZVf7Elu3N6f3XcdpPEO4qoLPtMq2EWC5JQ7giCyFD8EK4ldci/sHwdtPiX1j06cdIlEoU5aIRjSYObNlERPkKvDV3Hv7BpeezSF12BvVtS+qp3TTSe+Odk4zJdBlNkxrIoyKJl/hzSRrC9ep+ZCxZwb73pjJ53jcA2FLTSrS7sGdn47RY8QsKLravCKKIX95VQjOOIHE5cEqVJIa3waT98xw7D8W5Z5Fz9epVOnXqREJCAoIg0KJFC5YuXUpYmLtjZV5eHiNGjPjHRI6H/ybr1x3DYChg6htlCwXObYIDZUwc7cOr7x8nOyufqgGh3DBkkm428FviZXqUq1WiQPhfSEnJAdwO2SVRs4oCSb6D87sMWC940e+Wx5Mogl2EadsyadPdm6HRKqQCyCUgF+48nO03WLh2TaCKX+hd51G5SiQ7D1wrcZ8oiuzYW0CBXcbsWesZ+mQrQkN97zpenYblmLPlBTafPENmZh4KmZz+DRvQumpVT/TmFr93G4ey//Z0/nE69h/I5iW/kLN+I/59exX5HOw6r6drrp7+nZpQYMvHrrh7wvxfRpCgrtWRqV/8TNfachpFSPESrdRzJFHPkYRZUHApMZbYCt5UCvNBdNlxSeQc372Ln2Z/hE/b1vh164zk1jKWNTGJjO9/ZMb4ccz4ZSkSQUDqtKKw56G25KC05qC2ZKO2ZhPdMpjfsiQ4j+7DLEKSMpCs8m24Kg3GItyJBAUM6EvSuQtcOHaMCjVrkbxzN5qYakWEoSiK6LfvRO3lddd+NVJHAeHpB9zl4YBJE0pSWGsc8r+nB9h/kXsWOa+//jo1atTg+PHj6PV6JkyYQPPmzdm9ezdlyjzaCXge/j3ibmYQFqIo1r/lNs0aqnE4XCQnZxMQ6E2biCqsv3maXKuJ/SnXaBNRpdQfabvdwaaNJzmw/zKiKNK8RVW696iPXF761+J2svPVWFuJc4pLtGO1idSsWYY+w5MYM8yH/j28cDhElq7NJzXRwaZNRj6dHFBMtDmdIus2GzFa7CxcsJMnn2pdahfk4U+3Z+igs/yyysDQ/kUrDb5dZOBqrI2a1YzMnrWKmdNX8dHHwxj+dLti47hEkav6NE5kJGB12ilfIYR2davTOKQ82lKc3f+L/Jfcxm8TXrYsw199nR8+moHtxk009eshyGUUnLvAzctX6Pd0U6LKRmPIPEpixJ+bu/5VKteqTXjlamxZeoDTz4+iok6kmiONsq4c5FmpVMi+Stcetaiatg3SwC7Xcmb3Ep5qH4GycyVcxCHedhsPccHTTbFs345296eUjQxC4nKUeF6Zfxgxj7/IN9+t5Lcjl9H2bIlOVjyaIlGrUVYsT+yF8zw5fiIfjHmW9K++Rde5A8oyUdizsjHs2oPxxCmemfQWypJySEURXf5NQjMOI3NYEAUJGYH1yPKvAcJD4770QHLPIufgwYPs2LGDwMBAAgMD2bBhA88//zwtW7Zk165daLUepenh70en05Cjd5BvdOHtVfzLHp9kL3wdgFaupF1kNTbFn+OmIQuVVE6T0PLFhM758wkMeXw2iQk5VK2kQgC++3YHkVF+LF72MjVrRv/xVADUqFGG6jERfDwvl46tNUilRcf9+KtcfHyUrP11El/N2czC73fw+fwkAEJDfRg+oh0LF+zkw89ymDzRv3Beoigy5eMcklKdtGoq8srEH9ix7TQ//jy+RKHTtVtdBg9pwbBx+9n0m5kBPbxwuUSWrM5nzWYTY4bp+HJ6EHkGF29Oy2bi+IVERgXSoWOtwvMlGnM4nhGP3ur2x/FVamgSWt5TOfUHEkznOZpXjhtZQY982fgf6fL4YCLKlefXn3/i3IaNuFwuylePodsH06jcrili/Dp88uPxMdzE4PPnFa9/BUEQeGnmx0wZ/QxJ0z4ip1ZNTvj740yIxz8tlk4tatKhZS8cznxkjgIw5aAwpBBTKwals7i/lhgowRihxRB3AUl4C8Dty2VR+WNRuv+Z1CGF0ZOnvhjA9maNEO2l5x+JNjtSmYyqdevx5px5LJg5neSvvi3crwsM5Ll3pxRr7Acgs5sITz+Et9EdvbEq/UgKa4VF9b93+bZZLCTfvAkCRFWo+Ke5SI8i99wnx8fHhyNHjlDtD4ldt/vWLF68mDZt2uB0OksZ4d/HYDCg0+k8fXIeIpKTc6gdM4EZkwN46bmijf5cLpH2A1Iw2YLZsfuDIvuu6zPYl3IVEYjxD6dRSLlCQZGVaaBZ49eJCHGw8PNgalV3RyzOXbIyYnwG8UkS9h2eTnh4yQ37tm87w6CBs+nWQcO7L/tTt6aS2Dg7s+fl8u0iA9NmDGXMC10AsFhsXL+ehiAIVK4chlwu4+NZ6/jw/ZXUr61mYE8Noggr1hs5ec7KjMkBvPqCPxt3mOg7PJUPpw9l9JiS7R9cLhfffbuDb7/eQmysO5kxOkrGpBf9GTnUp4iAatU7BYkqig2bJpNqyuNkZjzpZrfJplIqo05gFFX9w5B6nhqLkWA6z+pUbwxZtf9TAuePiKKIKIpFersEZ54gKPsMTqmC2LK9sZdQVfR3YTQY2LlmFfs2b8JoyCMkIpIO/QbQtGOnwh45UocFa2YcHwwbTNSAHvhXikZARIKIADiQYBVkJP+wlGo16tL3xTewy7SIktKf9+02G++NGkFiRgbhk14pzAEq3J+TQ9L70xk56S069B8IuN+r2AvnyUpNxUuno1q9+sX6+AiiE//ciwRnnULiciAKEjIDapMVUKuYf9f9YrfZWPH1V2xfvZKC/HwAvPz86PrYIPo8PfJv7yn0/8E/3gywUaNGjBs3jieffLLYvrFjx/LLL79gMBg8IsfD386rL/3IDwt/Y9qbAYx6wgcfbymxcTbenpnD8nX5LF/1amGE4vdcyU3jQOp1AMr5BNIyvBIyiZRPPl7PrJmruHE0mpA/JO9mZDkoWz8OmVzOixN6MPHlniUuX23ccJzXX/2R5GQ9guDOufH1VfPGm/159rlOf5rH8tuOs0ye9AtXr6agVgm0bqZm/Cg/OrS60z9jyJg0Tl7QcOTErLuOJ4oiL724kB1bD3DzeFSJDcYWLM3j+Q9zmbfxefJwJyRLBQnV/cOoFRj1n+tafD94RE7pCKKTcgmbUBdkYlEFcDOqKy7pv9tiwOVy8Xz3zjjLlyVw8GPF9heKkjcn06HfgLuOde7IYb6YPIn8HHcunleTRgT0643kVv81R04umQt/QmE088W6X4t4Wt0NrSmFsIzDKK16AMzqYFJCmxf6g/0vOB0OZowfy4UTx/Fu2QxN7VogiphOnCL/wCEat+/A+OkfPXS5dv94M8C+ffuyZMmSEkXOnDlzcLlcfP311/d8Yg8e7pXpHz0BwKQPf+Odj3Lw08lIy7Ch06mZv+D5EgUOQBW/UCSCwP7U69w0ZJFvs9A+qhq/rj9K367aYgIH3MnMA3p6sX2vmY8/WsPpUzdYtHgiUmlR4dC9ZwM6d63L7l0XSEzMIiDAmw4da6HR3FseS/sOtVix/CD+3nr2rS+5aqJ7Bw3L1qZjMlnx8irBhfgWgiAgSAUCAqTFBI5LhBsmgTg/DX4tINmox8dbTWXfUGoFRuLlybvx8D8gClISw9tQPn4DKks2ZVJ2Eh/R4a6RkX8aiURC54GPs+KbeWjr10Vd+U5HZtHhIGflWtRaLS263L29QtyVy8ycMA5F+XJEjH4aa1wCWctWYjp1BnWVyrgsFqzXY/H29ePNOV/dk8BRWnIIzTyGl8ltQuuQqUgPaoDep9LfVhp+cNsWzh0+ROjzz6KuUrlwu6pcWZQVynH4h59p3bM3dZu3+FvO96Bzz5/ESZMmMWnSpFL3f/XVV3z11Vd/y6Q8ePg9MpmUWZ8MY8LLPdmw7hh5eSbKlguhV++GqNV3f2qs5BuCl1zFzqTLZFmMrL1xGrPGXmJ/mduEBEnReUv4/tMQej5xmjWrjzBgYNMS51WawLoXFHIZBqOr1P2398nlfx66jqkRxU8/7CI51UFEmAyLEy4bBM7nSch3wMmbTrRqBfUioqkTXMYjbjz8bdjl3sRHdqJcwia0phQi0vaRFNb6X02Y7fHEU1w4fowL8+ajqVUTVZVKOPONmI8ex5WXx8uzP/tTUbJ24fdIfXUEjRyORC5HERqKqlJF8g8epuDSZWzJKdRo1JiKMTW4cfEiQeHhpZpgym35BGefwtcQC6KIKAjk+FYjM7Auzr+5sd+ONavRVK5URODcRlunNvmRu9i5ZpVH5Hjw8KAREeHPc8+XnJ9yN8K0OnqVq83OpMtkW4wEtQhi5/VkDDYRH0XRpydRFNm5v4DqlRV0a6+lTXMtPy78rUSRk5dnZskv+1i/7gjG/AIqVopgxDPtaNGy2j2Fgjt1rsOin/Zw8qyFerWKRmpEUeTHZUbatYtBqfzzZMGBjzVnyjtLGTs9hxfeCOFGgQTnrYXojFQ7h9fm8nT39rSIKO4z5KF0bpeNZ5sk/PdSNu8diyqQhIj2RCdtR2e4idRpIzG87b+2dCVXKHjj8znsWLWCrSuXk7psJXKVisZt29PzqWFEV65y1+MddjtHd/6Gb4+uSH6XrCsP8MevR1cEpRJbSirnjx/jypVLOPKNLPx4JoPGvED3J+60UZHbjQRln8E37yrCrcyQPJ9yZATWx6b4Z1zB05MSUdQp+eFLEATk0WVIS0r6R879IOIROR7+E3grVPQoV4uzWUnE181g6ZVUXv3VwdOtFdTxFVHeCpYsXGrg9Hkr0950Vza0aqJk/uLUYuPFXk+jT69ppKXq6dZeQ+1KMvYcPEOv7kcY8Uw7Zn86/E+FTpdudalcOYTBz2WwakEINaq6n+iMJhdvTsvi2KkCVq/r/qfXlm+zcMOaxTNzu7N07QFivzJSt6aCYLVI4gkj6xflUrdOBV4a3/M+37X/Nv8lt/G/A5M2goSIdkSl7MbLlEy5hI0kRHbELvf6V+Yjk8vpMmgIXQYNweVy3ZcZps1qxeV0Iv2dpcVtDHv2od+4GV271ujatkHq440jz0Dejp0s+nQ2CpWKHj07EpBzHl9DLILojsgateFkBNanQF28UeDfiZePD/pbOUQl4czNxes+cloedjwix8N/BqkgoW5QGcq2D+DG2TTWb4/lapyD2lXkRIgODm/Us3ZtPqOe8KFTG3coOynVgbd30SR1l8vF0EGz0SrNXDkYTdko95OeKIp894uB517dSfWYKEaO6nDX+chkUpaveo0BfWdSu20CjeqpCfCTsP+IBXOBi08+H0HbdjVLPNZotxJnyOKmIYvMAnf1RFSVIJ58sg3Ht1xhxYcXsWbaiIzy47XX+jPmhS5/urTn4Q4HM3f/Z8vG/xeMXmW4WaYb0UnbUVlzqRC3juSwluR7/bvv3/0IHACVRoO3vz+WGzfwqlencLvLbke/bQfezZvi3/vOQ4NM50NAv95ECvm4dn5F+ep5SG41IjVpwsgIrPf/5hjeonM3ln87D0dPfRHfMQBbWjrmS1do8ebb/y9zeRC45+qqRwFPdZWH27hcLr74aTM/7tyLWXQ3Awv0k9C5tpxxPVREaSAr20HFxgmMHd+LN97sV3jsju1nGdhvFvs3RNK0QfHP0ZAxaRw/p+Lw8Y9ITMjG6XQRXTao1CaDNpuDDeuPsWnjSSwFNmJqlOHJYa2JigosfI3D5SKzIJ/zSUkcuXwdk2gjPMIPrdbd4ydUq6OiLpho7wAUUhl2uwOr1YFWq3zoqigeBA5m7uZQbmdMOWqPwPkLyO35lEn+ze27hNuLKjW4CU5Z6Qn0DxrLvprD+p9/InTCWBTh7s7+5vMXSZ+/gIg3Xys0C1WIDqo606ntSMEnL438A4dp2b0H6qrNyPKvSYH6/0fc3CZfr+e1IY9jFl349e+DqnJF99wvXCJ31RoCfHyZ+cvSkpsSPsD849VVHjw8SkgkEiYM787T/drSutfbSMOddGnvTbkycjamQGaanTW/GPAu680TI1oXOXbP7gtERyppUr/kG/bjvbUsW5tG3ZovkZTkduAMDvbm6ZEdmPhyLxSKol87hUJG/wFN6T/gTt6P3eUk1ZRHRoGBVFMeCbnZbN12iosXknC53P1KXHlOWlStzEdvPkGwX1FvKblcdtfOzR48/JPY5d7cKNOD4KxTBOaeR2e4gdacQkZgPfS6Sv9zH5j/D3o+NZzje3eT8sVXeLdsjrpqFcxX3VYqMl9fIp25xDjTqOjMRHZrScqq1nI8xYnDVZuaEXeP5N4LLpeLM4cOsmfDOnIyM/ELDKR1j17UadYcfU42R3/bgclgICQyioZt26FUq/H29eXdb77j09dfIX7et0jVahBFnBYLlWvXYcKMjx46gfO/8JfugosWLeLrr7/m5s2bHDp0iOjoaD777DPKlStH7969/+45evDwj+Hjo2HdT5N4auinfD4mjvDa3sgjlBitIn7+Pgz/qDHbcy/hX+BFiMabQLU3VqkDqZwSIySiKDL/Z3eTvdaNHQyZGY5CIbB2s5FPPl7HyRM3+GXpxMIuxk7RhcluJc9aQK7VjN5qJttiQm81FdoNOhxOlizdR1ZyDgObKRjQXEmYUmTDr/lMmX2MJ09lsn7jW/eUoOzBw/8XokRGenBDDN5liUjbj9KaS3jaQYKyz5IZUBu9ruIDLXY0Xl68N38By+fNZfeG9ei37SDcW6BJeSlN0rcWWrwA5Ei0nJGFc+pmDgnXHLSILF7ZdL/YLBZmv/YyZw7sRxURgTQshIQrlziyYzsBoaHkZGSARIJMq8GeZ0Dt7c3IN96ieZeuhEZFMeOXpVw5fYorp0+BIFCjYSMqxNT4n+f1sHHfImfevHm88847TJgwgQ8//LCw+Z+vry+fffaZR+R4eOgoUyaQXXuncmD/ZfbuuYjT5aRKoygiawWRbNKTb7eQbTGSbTECqUjqKsm/4cOMQy4qR8nwkoFGCgqJyOXLNnbFunhvdjgDergTLu0uGB6jpXI7HZM/vsH0Veup26g8JocNs91KaevFGpmCYI03Z/fe5NxP19mzOKzI8tiE0X40aaCieY9Y1qw+wqDB/42SUA8PFwXqIGLL9sJPf5mg7LPI7UbC0w4QlH2aXN8q5PpUemANKL20GsY9/ySvDGqCNO0SGqzs37oZS+xlrP6NuKoI44IslHTBG5fdTvqWlWh9fdm7aQNOp4OKNUrOqbsXfvr0Y84dPULIqKdRx7grNkVRJOP7H8k+fwG/Hl3xad4UiVqNPSuL3I1b+XLyJNRaLfVatkIQBKrWrUfVuvX+xnfk4eO+c3KqV6/OtGnT6NOnD97e3pw5c4by5ctz/vx52rRpQ1ZW1j811/8ZT06Oh7+CyW4l3Wwg3Wwgx2oip8DEl3M3olLaeaK/F1rNnaTGH5YZMOS7GPeMb4m9vRatzMdoVhEc4kt+fgEajZJaNaKpU60s/motfkotfkoNQWovNLd62fTsNhWVkMTWZeElzq/T4ynYiGL9xrf+kev/r3G7bHxpbCNP0vHfjOBy4K+/TGDOWWQOy62NAkZtBAavaPK9onDI7q1r8D+C6EJlzUVrTsHLnIrGnFbEwNMlkXE508HU6V9zQxaApnVr5KEh2FJTyduxG3tGBsrQUMSCAmx6PfVatWb8tJn3vTyUr9czpksHvDt1wLfTHfNTR56BxPem4te9C74dihruii4X6fPmEyKVMePnpf/b+/AA8v+Wk3Pz5k3q1q1bbLtSqcRkMt3vcB48PNBcv5bKwu93cvLkdRQKOe071GbI0JZUHRXEE8M+ZfqOXDp01OIbKOPMFTvXE+y0aqahnNedZwepAHIJyAVo6Ofih1+TcQSmU72slNirNuZMP0Wr1lX5ZenLJXY2TkvNoVeH0peialWTs+G37H/k+v9r/L5s3CNw/n5EiYxs/xrk+FZFlx+HX94VNOZ0vIxJeBmTQBAoUAVi0oRhVgdjVgX/c8nKogulLQ+VNReVJRu1JRO1JauYK7lDpiHfK4p8ryiMmnDEyjIem96AJXO+4OLPSwpfJwvwJ3Tsc6grVkB0uTCdOcuZJSv4+oP3GD9t5n1N7fKpkzjsdrwa1i+y3Xz2HAgCPs2L9+0SJBK8WzUn7rsfSEtMIDTK89mFvyByypUrx+nTp4mOLurSvGXLlmLmnR48PMz8sGAnL0/8AX8/KZ1aqzGZXUybeoVPZ69j+arX2Lv1QxZ+v5P1aw9jzC+gUuUIogoMmE9m0/X1ko0Kf4k14W20c2FfZGH4ecdeMwNHXuPlCQv45rvnix0THOLHxavJpc7z4lU7wbcqPTz8NW5Hbzxl4/8/iBIZel1F9LqKKKx6dPk38TYmorZkoS7IRF2QWfhau1yDVeGHVemLTe6NXabFLtfilCpxSRS4JLKiuT2iiCA6kbjsSF12pM4CZI4C5I4C5HYjCrsBhc2A0m5AcBX3WnRJZJg1oRg1YZg0YViUAcUsFyrVrMU733xHZkoK74wcjsXfj9DnRhbuFyQSvOrWwVVg4dDyVTw+ZiyhUVH3/P64XO5EZuEPxQNOcwEStRpJKZEhmZ/b+8pkMNzzuR517lvkvPTSS7zwwgtYLBZEUeTo0aMsWbKE6dOn89133/0Tc/Tg4f+dQwev8NKEhYwZrmPWO4GoVO4lqYwsBwOeSefxAbM4dfYT3nizX5Hy8p9+2M2EF7/n0lUb1SoX7UuTle1k8ep8XhzpW5i0LAgCHVtrmfamPxPePsw7UwYREVHU/XzQ4JaMH/c9J89a8NVJycpxEhkmIzxUxsmzFrbtNvHFnFb/8Dvy6JMh1sPpCiIQT9n4/yc2pS+ZyrpkBtZFZjfhZU5GY05HY8lAac1Dbjcjt5sL/Z5KQvydCBHA7Zh7D7gkMqxKPyxKfwpUgZjVwVgVunu2pLBaCshNTyekb68S93s1qE/umvWc2Lub7kOL+z6WRvnq1UEQMJ09j0+zJoXb5YEBuIxG7JlZyIMCix1nvRmHIJEQGBZ2z+d61LlvkTNy5EjUajWTJ0/GbDYzZMgQwsPD+fzzzxk0aNA/MUcPHv7f+fqrLVSrpOLzqUFIJHduoMGBMpZ9G0LZBnEsWby/mM3EgMea8uXnG+g+NJVvZwfRvqUaQRA4dtrCsy+no1AIjBnuW+x8TwzwZtybmezZdZ4hT7T6w5jN+PyzDbTomYTV5r55CwLEVFGQmOKkdp1oBjxWPHztwcPDhkOuRa+rjF7nrk6SOq0orXqUNvc/ud2I3GFCbjcjdVkLIzFCKaLGJZHhkKlxSlXYZWrsMi9sCm9scm9sCndk6H8xxrRa3HlFUq+SE6clCjlSpRLbrdfdK0Fh4dRv1ZqzW7ahrlgBebC7S7KmZg0kajU5v24meNhQhN81OXQaTeTv3kv9Vm3Q+Qf8xSt69LgvkeNwOFi8eDGdO3dm6NChmM1mjEYjwcGeULmHR4vdu87x2vNeRQTObcJCZLRroWbXznPFRI5Go2T1endJeufHEwgOlKNQCCSl2JBJYd2P4YSHFv/aqW9FihyO4oade3ZfIO5mJg3rKJn4nC+Vyik4fsbCR3NysVhEps14EpXK0834r3J7qSrO4E18joxAPEUJDwpOqRKzJqTUbsHuZSkHglh02cklkeMSZH+bs3dphEZFIZPLKbhyFWVUZLH91qRk7Pn5RFWoeN9jj3rrHaY8+wwpH81GU7sW8vAw7KlpiDYb5tNnSDca8W7VApm/H9a4ePJ370XhcPLEhJf+jkt7ZLgvkSOTyXjuuee4dOkSABqNBs092Mt78PCw4XSKKBSl3yCVSgGzo/h6PkBUVCA790zl4IEr7Nl9AYfDSZWq4bzw3Ldcj7OXeMz6rUYA6jesUGS7w+HklYkL6NxWw5qFYchk7jnVjlEysKcXLXqmMGPaStb96qms+it4cnEebkRBilP67/Xa0Xr70KxzFw7u3o22dq0iS0gum53cdb/iGxxM3RYt73ts34AAPvxhETtWr2Tn+rXoL13BNzCQnmNeICQqinU/LuTmgh8Bdw5Qg9ZtGDr+pfvK/fkvcN/LVY0aNeLUqVPFEo89eHiUaNCwAms3x/PyGL9i+/IMTnbus/DixNIbfgmCQPMWVWneomrhtm1bTjP105O0b6kpkq+TlGJn0oe5NG1WiZiYojeo33acIzlZz7qFUYUC5zY+3lLeeFHHky9cJu5mBmXLeSKq98MfBU53/yZ/fpAHD39g6PiJXDl7htTZn6Nt0ghV2WgcubkYDx5GzDPwyhdzkcr+Wvdxjbc3vYaNoNewEcX2NenQibTERMzGfAJCQjxLVKVw3+/8888/z8svv0xSUhL169dHqy26FlmrVskW7x48PEw8O7ozQwd/xhfzc3lx1B2hY7eLjHk9E4dT4Mlhbe5rzI8+Hkav7onU75TIwJ5a6sQouRJrY8kaE77+Psz75rlix8TdTEeplFC3ZslltLebA8bFeUTOX+H3ycYePPwVdP4BTF24iLULv2fX+rVk7NqDRCqlYbv29Ht6JNGVq/xj5/ZEbf6c+xY5t5OLX3zxxcJtt0thBUEo7IDswcPDTNfu9Rj7YjcmvrOJRStN9O6sxlQgsmSNibQMB/MXvEBYWPEoz90ICPRm8/b3WPj9byz+eTdrNucSGOjN8+N6MurZjgQGFW9wpfPVYrW6SE13EBZS/Osal+he/rLZPN87Dx7+Lbx9fXly4ssMfXECZqMRpVqNXOHJk3sQuO+Ox/Hx8Xfd/yAvY3k6Hv+3SU3NZfXKw2RlGYiIDKB//yb4+XuV+npRFNmx/Szzv9nGqZOxyOVSOnaqy6jnOlGjRsl5GyaThexsI35+Wry9//fPWJ7eRPUq4xj3tBfT3ipaMiqKIn2Hp7L5NxNOF3TtVpcZs54q4l7uoXQSTOc5aSpDrD7I4zbuwcMDzv9bx+MHWcR48FASLpeLKe8uZ+6Xm5DLBUKD5CSn2Xj7zV+Y/M5jvDCua4nHCYJAx0616dip9p+e4+aNdGZOX8PaNYexWp3IZBJ69KzPa5P6Ua1a8aqLe0Xnq2Xc+B7MnL4GuVxg3DO+BAZIiUu088En2WzYZuLzqUEoFALTP79At05T2L7rA0JDff/yOT148ODhUeG+Rc5PP/101/1PPfXUX56Mh4cfs9nK+XMJiKJITI0yJdoU/H8zc/oavvx8I++/FsALT+vQ+UjJyHIw44tcJr+5GG9vNU8Nb/OXx79yOZlund9Hq3Yw5VVfascouXzNxtyFZ+nc/ixrN7xJvfrl//L4r73RB6fTxUef/cqML3Px9hLQ57nw9pLw7exgnhmiA6B7By31Oibyycfr+ehjz/fwbnjKxj14+G9w38tVfn5F8xDsdjtmsxmFQoFGoyEnJ+dvneDfiWe56p/DZnMwbeoqflywA32eu/GVj4+SJ59qx+R3B/xrfVzy8szEVBnH2BHaYss9AE88n8a+Y1JOn/8cqfTeupz+kZ7dppKVFse+dRH4+90pZzWaXLQfkILJ6sdrk/pRYLZRuUo49eqXL+x4fD9kZRp4Ycx89uw+yxcfBjK4r3cRc1CAydOzmLPQTGz818jlf62i41HHUzb+cJOZmkJmSgpePjqiKlb8S98lDw8f/2/LVbm5ucW2Xbt2jTFjxvDqq6/e73AeHgGcThfDnvicnb+dZfwoHY/1cncJXrkhn0+/3crFCwksX/0qMtn/fz+LHdvPYDLZGPtMRIn7xz6jY8maJI4dvU6TpqWXhJfG9Wup7N93hV/mhRYROABeWgkfvO5H18EpjHhqTuH2WrWj+HLus9SqXfa+zhUY5ENQkA+1Y1SMHKor8TX1a6vIz8/FkFdAQGDJ/ln/ZW4LnM0pweQVeMrGHyYSY6/z0+xZnDtyuHBbePnyDH5+HA3btrvLkR7+y/y1R9c/UKlSJWbMmMH48eP/juE8PGRs3niSLZtPs+K7EGZMDqReLRV1aiiZOimQ9T+FsWvXBdasPvKvzM1gKEAQICykZIEVFS6/9TrzXxr/6tVUANo2Lzky2K6Fu1nmR28HUBBfkU2Lw5GLWfTsNpUrl0v34ikN/wAv4hPt2O0lB2Cv3bChUEjx8v73lwkfVDLEeuQVlPUInIeIpBuxvPP0MK7G3SRw6ONEvPkaIc+NQq9UMPuViezb9Ou/PUUPDyh/i8gBdzfklJSUv2s4Dw8Ri37aTaN6anp0LF6p1L6lhjbNtfz8065/YWZQoUIIogiHjpfsHbPvSMGt14X+pfG9vJQApGWUXMKdluEAICrSbe/Qua2W31aFE+gHs2auve/zPTaoOemZdn5eVdxlON/o4puf8unTtzFKpfy+x/bg4UFl0Wef4NJqCJ04Fu9GDVGEBKOpVoXg0c/gVb8eCz6acd/+UB7+G9y3yFm/fn2Rf+vWrePrr7/miSeeoHnz5v/EHD084CQmZNC4rrLU/Y3qKoiPy/h/nNEdWrSsRvnyQUyekYPVWtQXSp/n5MNPc2nRsgoVKv41kdO4SWWCgrz4+kd9ifu//jEPrUagS9s79ifeXhLGDPdm/bqjmEz3d2OuUaMMAx9ryvOvZ/HRnBxycp2IosiuA2Y6PpZCtl7gpVdKdkT24OFhJCcjnTMHD+DdtjUSddGIqSAI+HbrREF+Pkd37fyXZujhQea+c3L69OlT5P+CIBAUFES7du2YPXv23zUvDw8Rfv7exMYXjyzc5ka8Hf9/qeW4RCLh8zmjGNB3Jo27JfPiSB+qVFBw+ryVz+cbyMqVMH/RsL88vlIpZ/zEXkx+czHhoTLGj/LFx1uK2ezim5/ymDknlzfG+eHjXXS5rFolBXa7C73ejFZ7f0tLc+Y9i4+Phnc+2sWkD7ORywXsdpEqVUJZu2EMVaqWnH/kwcPDSHZ6OogiyuiSk8PlgYHIvbzITPWsJHgozn2LHJeruEuyh/82/Qc249WXfuDiFSvVqxSN6MTG2Vi3xcSUD3r/S7NzR3M2bnmb6VNXMuql8wBIpQLdutdn8jsDqVwl/H8a//mxXdDrTXwwez2z5uZRLlpBXIIVo8nF6Kd0vPdqcYF39qIVpVKK/12aEZaGQiHj40+H89qkvuzYdgZzgY1q1SJp1ryKp9LkT7hdNg5B//ZUPNwjXjp3kr09KxtFeFix/U6jCUdBAd66kpPxPfy3ue/lqvfffx+zuXiSZkFBAe+///7fMikPDxePD2pOpUqhdBmcyqpf83E4RBwOkXVbjHQcmEpUVCBDnmj1r86xXLlgwsL9USrdERWnU+TM6Rvs23eR++yiUAxBEHjr7QGcvfgZr7w+gCYtmzP8mc4IAkSGyZBKiwqPnFwnX/2QT7/+TVGr/3ppfXCwjiFPtGLkqA40b1HVI3DuQoLpPAczdxcpG/fwcBBWJpqy1aqTv2cvYgkP2Ya9+5BIJDRq1+FfmJ2HB5377pMjlUpJTU0lOLioGWB2djbBwcEPtHeVp0/OP0damp5nn5nLvr2XUakkCAIUFLho0rQi8xeMJTLy33PIzdOb6NppChnpmbw0WkeXdlpy85wsWGxg8ep8Xn61F5PfGfi3n3fKu8v47JNfGTNcx+indIQGSdl5oIAPZueSkSNjx673Paaa/w8ULRv3VFU9jJw5eIAZ48eiqVEd366dUYSH4TTkk7dvP3nbd9JnxDMMemHcvz1ND/8g/299cm4bcf6RM2fO4O/vf7/DeXhECA31Zf3Gtzh3Lp4D+y4jiiJNm1WhTt1y//bUmDtnCwnxGRzZHEm1ynciJ22ba6heWcHkGesZPKTlX04+Lo133nsMPz8vvvhsA/N+SCjc3qJlFRYuHuEROP+PHM0rh7ygNt09Tf8eSmo3a87EmR8zf/pUkmfORqpS4rTakMnl9H16JAOfe/7fnqKHB5R7juT4+fkhCEKhivq90HE6nRiNRp577jnmzp37j00WYO7cucyaNYu0tDRq167Nl19+SaNGje7pWE8k57+HKIpUrzyWPp0F5s4oLiosFhdl6sfzxLAuvPf+4//IHKxWOwcPXMZktFKlagSVKhfPK/Dwz5FgOs/qVG8MWbU9nY0fchx2Oyf37SUjOQkvnY4GrdsW5ux4eLT5xyM5n332GaIo8vTTTzNlyhR0v/tgKRQKypYtS9OmTe9v1vfJsmXLeOmll/j6669p3Lgxn332GZ07d+bKlSvFls88eAC3wEhLM9C4XkiJ+1UqCbVj/tkSd6VS/n/snXd8XXX9/5+fc2fuzd47aZp0N917Q9mUISIIKCiiKPBFQBEUEJApoAiioD+mIsgslpZC994j3W3a7L1zk9x9z+f3x23ShqR7pOPzfDz6gJzxOe9zMs7rvifTLhh8ytY/X1hZu/i4zitpbqS+rS+V1U1K5JzlGE0mRl9wYU+boTiLOGqRc+utwTLbXr16MX78eEym099s7E9/+hN33HEHP/rRjwB4/fXXmT17Nm+99RYPPfTQabdHceZjsZgICTFRXObrdr+UkuLSAJNyjr3KSXF6KGnbRl5DCQ1tTuaVTD3m890VISS6Q7ECsyq3kpoazbA+qsxeoTgfOOacnClTpnT8v9vtxuv1dtp/LG6kY8Hr9bJhwwYefvjhjm2apjF9+nRWrVrV7TkejwePx9PxtcNx6F4uinMTIQTfuW4sb/5nDb/8aRRhoZ0LCr+c18a+Ig9/uV4lo54KStq2nfAaKyvzWV6ZTtOSviR7Dt108lBk2Q4I2AJnK2UEhwgroaNQnPscs8hxOp08+OCDfPTRR9TX13fZf6qqq+rq6ggEAiQkdA47JCQksGvXrm7PefbZZ3niiSdOiT2Ks4d775vB/75Yy2U3VfLS4zGMHmbB45F8MLOF+x6tZ9q0gYyf0K+nzTznWFm7mJLmRra39T3uNdrcXvYUjSAyP5pfDBx04kbtqsRtsaEGACgU5wfHLHJ+/etfs2jRIv7+97/zgx/8gNdee43y8nLeeOMNnnvuuVNh43Hz8MMPc//993d87XA4SEtL60GLFD1BTp8kPvviIe748WuMv6KU6CgjTpeO261z1dUj+evff3rCPWbq61r4eu4mWlvdZOckMXXaQDTtpI2GO6toDy/VNLfy6eLpRDcdfy8ggAEeC9cMzzlJ1ikUivOJYxY5s2bN4r333mPq1Kn86Ec/YtKkSWRnZ5ORkcH777/PzTfffCrsJDY2FoPBQHV1daft1dXVJCZ2X/prsViwWI7dva049xg5Kpv1m19i4YKtbN1SjNVq4pJLh51w2bjfH+CJx/7LP//xDV5vALNZw+PRycyM5dW//ZSJk/qfpDs4/bSLlWOlzeNhSWkKLSsmc5UhhtyBZ1Y1WUVBDU5PUHipkJVCcW5zzCKnoaGBrKwsIJh/09AQjG9PnDiRn//85yfXuoMwm82MGDGCBQsWdMzP0nWdBQsWcPfdd5+y6yrOHQwGjYsuHsJFFw85aWs+9Ot/8c7bC3ns/ijuvDWSmGiNtZs8PPx0Pdd/54/M+fpRhg3POmnXO120h5o+2jYGrenYSnSdrR4GVYfxgzPQ+5LbLwl2VVJQ3sq2umJACR2F4lzmmEVOVlYWhYWFpKen069fPz766CNGjx7NrFmziIyMPAUmHuD+++/n1ltvZeTIkYwePZqXX36Ztra2jmorheJ0UlxUw1tvLuClx2O596dRHdvHDLcy5/0kRl9WznPPfMZ/P/lVj9l4PIm/7ZVMH+eNZsC2uE6Ju0dL7vAzy3tzMLn9ksgFtuyqZFuZSkJWKM5ljlnk/OhHPyIvL48pU6bw0EMPMWPGDP7617/i8/n405/+dCps7OCGG26gtraWxx57jKqqKoYOHcrcuXO7JCMrFKeDTz5eTajdwB23dPV0WK0ad/0onLseyqOxoZWo4xjEeSIcXHad15x9TOd6vQkU5PXiqpakM1qsnAyyLZEqCVmhOIc5ZpFz3333dfz/9OnT2bVrFxs2bCA7O5vc3NyTalx33H333So8pTgjaKhvITnJhM3WfYJxn94mpITGxrbTKnJK2radUNm1EXjkDAw1KRQKxbFyzCLnYNxuNxkZGWRkZJwsexSKs4bUtBiKSrzUNwSIiTZ02b8hz4PZbCAu/uh7R62sXUy923lCdrWHmk5a2fU5Sm6/JGZuzKei3ENZWQMzVFdqheKc45hFTiAQ4JlnnuH111+nurqaPXv2kJWVxaOPPkpmZia33377qbBToTjjuP5743n8sQ957tUGXvh9XKd9dQZX30sAAIJ9SURBVPUBXn3TwTXXjiEs7Mhz0lTZdc9wzfActuxPRJ61UHVDVijONY5Z5Dz99NO8++67/PGPf+SOO+7o2D5o0CBefvllJXIU5w2xceE88tj1PPbIh5RX+fnFbZGkJBlZvNLJs6800eYRXPKL1KOauVTS3HhGl12fy7RXXKkmgQrFuccxi5z33nuPf/zjH1x44YXceeedHduHDBlyyM7DCsW5yj33XkFUVCh/fP4z/juzDAAhICa3D33uupp/l8TCUbSa8Xr8DNiWdEaWXSsUCsXZyjGLnPLycrKzu1Zr6LqOz9f9EESF4kznRGYsTb4uhrDJF5G3oZJvtmaT29if3MQMaID9Y5KOinO9kulMRzUJVCjOPY5Z5AwYMIBly5Z1STb+5JNPGDZs2EkzTKE4HbRXIp3IfCWARkcSBZXjucWSRO5UJVbONg5uEqgGeCoU5w7HLHIee+wxbr31VsrLy9F1nc8++4zdu3fz3nvv8eWXX54KGxWKU0J7V99/bwgOgDxRHlGVTGc1qhuyQnHuccwi5+qrr2bWrFk8+eST2O12HnvsMYYPH86sWbO46KKLToWNCsVhOd6y6wNdfZNUJZIC6NwNefnmYsrKGlTFlUJxFnPUIqegoIBevXohhGDSpEnMmzfvVNqlUByRg8uuv1p/xTGf72z1nBddfRXHTtCrgwpfKRRnOUctcnJycqisrCQ+Ph4Ijlh45ZVX1EgFxQlT0raNMmfdsZ93UNn1dMOxh5ty+ylxozg07V6dmRvzKaNBiRyF4izkqEWOlLLT13PmzOHZZ5896QYpzi/a82K+LJh0zOc2NTpV2bXilJNlC2Ub3p42Q6FQHAcnNNZBoTgRZpXOOSgvpuuQyyORTITKpVGcNjbtKVfeHIXiLOOoRY4QAiFEl22K84/2susTZXll+nkz7VpxdmMr96rcHIXiLOSYwlW33XYbFktworHb7ebOO+/Ebrd3Ou6zzz47uRYqzihU2bXifOPg3JxtdcVqmKdCcRZx1CLn1ltv7fT1LbfcctKNUZw+jmae0repdztV2bXivKV9mKfbYlOhK4XiLOGoRc7bb799Ku1QnCYOLruevXfiMZ/vLrOq8JJCoVAozgpU4vFZxInMV2pnZWU+yyvTaVoymYsNMcd8viq7VpzvVBTUEB2X2NNmKBSKo0CJnLOE9lyYtfW9TmidPUUjGLAtiZtUqEmhOGbaRz+obsgKxdmBEjlnOAeHlz5dPJ1B1WEntN4AULk0CsUJoLohKxRnD0rknCbaxcqx0ubxdHT1vcoQo3JhFIozgHaPjttiw93TxigUikOiRM5p4OCya7029JjPH1Qdprr6KhQKhUJxjCiRcwz0WNm18oQrFGckFQU1OD1mQIWsFIozESVyjoL2UFNDm5N5JVOP6Vyn06vKrhWKc5D2kFVBeSvb6ooBJXQUijON81LklDl3EGqwHPXxB8qu+5LsOfrz2lGJvgrFuUl7N+QtB1VcqW7ICsWZw3kpct4t0DDbtaM6ts3tZU9RcITBL9QIAoVC0Q0HV1zNWrhVlZYrFGcI56XIKfoqFZMl5KiPH+CxKG+MQqE4LCp8pVCceZyXIueO/gOwhdiPfKBCoVAcAwcP81QoFD3P0cVsFAqFQqFQKM4ylMhRKBSKU0BZWQOb9pT3tBkKxXmNEjkKhUJxkrlmeA62ci/bNhcroaNQ9CDnZU6OQtFTSCnZsWcrO/K3IgQM6T+CnKx+PW2W4hRwzfAcVVquUPQwSuQoFKeJyupynvvbI+wt3Et4mBFdh7f/+zoD+w7kwZ//gdjouJ42UXGSaS8t34a3p01RKM5LVLhKoTgNtLQ6+O3zdyMo46sPkqnflUnD7kw+fyeJpuZ8Hn3hXtweNepRoVAoTiZK5CgUp4GvFn2Bo6WB+Z8kcvFUO5omMBgEV10SytwPEymtKGXJqnk9babiFNFU18KshVt72gyF4rxDiRyF4jSwdM3XXHelndRkU5d9A/pauHiKnaWrlcg5F8ntl8REQwy2ci+zFm5VicgKxWlEiRyF4jTQ2tZCZlpXgdNOZrqRFmfT6TNIcVrJ7ZdEli0UW7lXlZYrFKcRJXIUitNAYlwKqzZ4ut0npWTVei8Jsamn2SrF6aRd6GRbInvaFIXivOGsEDlFRUXcfvvt9OrVi5CQEHr37s3vf/97vF5VsaA4O7h4ylUsXNbGgmXOLvs++bKVLTtcXDLlqh6wTKFQKM5dzooS8l27dqHrOm+88QbZ2dls27aNO+64g7a2Nl588cWeNk9xBqHrOpu2rWPt5pV4vB6y0rO5YMIlhNrDetSuyWOms3jlN1z1gw3cfXsE110Zit8v+XBmC6+/62DymGmMyB3TozYqTg8VBTU4PWZADfBUKE41Qkope9qI4+GFF17g73//OwUFBUd9jsPhICIigo/fmKsGdJ6DNDTV8fsXH6SgJB+7IRyTNOGQjZiMJh648xEmjJrao/Z5vR7e//xtvl4yk5bWNgCiIsK5/MLvcsOMH2AwnBWfORQngZkb86mweIiMDVNNAhWKo8DZ2sqPp0ygubmZ8PDwoz7vrP2r2tzcTHR09GGP8Xg8eDwH8iAcDsepNkvRQwT0AI/+8VdUV1QygilEBmIRQuCRbvb483jutcd54ZHX6Jc98ISvJaXErYMrIHHrEpcu8eoSnw4+KfFLkIC+/78aoAkwCMGwy25nxMU/pKG+CosmyUlKJcJixqCJE7ZLcfbQ3g3ZbbGxaU+58ugoFKeIs1Lk7N27l1dfffWIoapnn32WJ5544jRZpehJ1uetpqhsHyOZSqSI7dhuEVYGylGsEwv4+Mv3efSXzxzTuj5d4vBLmv06zX5Jm1/SGtDxH4f/09HSTJOjEaPRSHxMAkajifoWCS0eLJog0iiIMGlEGgXRJg2jEj4KhUJxQvSoyHnooYd4/vnnD3vMzp076dfvwGyf8vJyLr30Uq6//nruuOOOw5778MMPc//993d87XA4SEtLOzGjFWckqzYsI0yLJFLGdtmnCY1EPYO1m1YQ0AMYNMMh13EGJPVenUZf8F9LoHs1owFWgyBEE1gNAosGJiEwCTBqAg0QgBBQVVPJvz9/h32lexFGC8JsxRoSzshR0xiUOx6PBI8uqfZKqr16x/rRZo1Yk0aiRSPUeFbUCFBZXc7Mrz9i6aoFON1OkhNSuPzCa7h06gxMJnNPm3fGUVFQQ3RcYk+boVCcs/SoyHnggQe47bbbDntMVlZWx/9XVFQwbdo0xo8fzz/+8Y8jrm+xWLBYLCdqpuIswON1Y+LQL1EzFnSpE/D7MZgPiBxdSuq8OrVenRqvTls3osZmEIQbBeFGjXCjwG4I/tPEkT0tNXVVPP/MnQRckj56f2JIwIuHcgqYv+P3WKd/hztu+SUtAUmTT6fJL2n06TgDQbvqvDq72iDKpJFi0Ui2GjCfoR6eXXu388jz9yF9kKCnkUgIzZX1vPGvv7B87WKe/PWLWMzq97Gd4FwrNcBToTiV9KjIiYuLIy7u6IYSlpeXM23aNEaMGMHbb7+Npp0dn2wVp4eM1CxWrlmCT3oxia5ip4FqEmKSMJstBKSk2qNT7dWp8QTwHaRrNCDCpBFj0ogyCSJNGpYTEBX/nfUvvC4vo/XpmEXwBW/CTB+GYJU2vpz/GVdddB0pSelEmYI/01JK2vaLnOr9Qqfds7SzzU+61UAvmxGb4cwRO36/n2deeQSrL5Qh+niMor3xYQ6N1LJ5zwo+/OJdbr3+pz1q55lG+wDPgvJWZi3cSmpqtMrPUShOImeFUigvL2fq1Kmkp6fz4osvUltbS1VVFVVVVT1tmuIM4eLJlyOFZC9b+XbBYKOspVqUM+2ym9nk8DGvzsNGh49yd1DgWDRBeoiBEREmLoq1MCHKTL9QIwkWwwkJHL/fz8LlX5OkZ3YInINJIQuLZmX+8rmdtgshCDVqZNqMjIk0c2GMhYGhRsKNgoCEQleAxfUeNjt8uA4RTjvdrNm0gvqmOvroQw4SOEGiRBzJMpM5C77A5/f1kIVnLgd3Q962uVh1Q1YoTiJnReLxvHnz2Lt3L3v37iU1tXNX2LO0Al5xkomOjOWu2x7glbf+SJvmIFHPwISZenMTjYlmsgf9jIjB0yl3B4BgCCrJopFgMRBpPLrQ07HidLXh9XkII7Lb/QZhwEYoDU11h13HahD0shnJDDFQ75Psdfqp8+qUuQNUegL0thnpbTNgOAX3cLTsKdiJzRBKmB7Z7f44kil17qWmtpKUpPTTa9xZQG6/JHKBLQeFr5RXR6E4cc4KkXPbbbcdMXdHce5QVVvByvVLaXO2kpKYxoRRU48ql+OSqTOIj03kv7P+zY7yMiwp/QhPnsCorP70zx6E1Wgk2RrMa4kyCsQpFgW2EDsmo5lWfzPxdH1Z6TJAGy1EhEUd1XpCCGLNglizmSafzo5WPw0+nT1tfsrdAYaFm4g09Yxz1mg0ossAUspun2sA//7jDj2/S9E5fIWa8qFQnDBnhchRnB/4/D5ee/tF5i/7CoMwYNIsuAJtvP7ey9z7k98csZmfLiVx2cO5/Ge5jHV70XUdk8lMrNlAWoiBJIt2Wr0dRqORaeMvYunyRaTp2V1yhcopwis9LFrxNRdMvITM1KxDrNSVSJPGuEgTlZ6g2GkLSFY2eukbaiQrxHDKBdy3GZk7lg+/eJd6qoglqcv+KlFCclwa8bGqkuhI5PZLomBjfk+boVCcE5wVOTmK84NX3/ojC5Z/TR+GMEleyQT9MsZzKaHuSJ776+/J27Gh2/MCUlLk8rO4wctmhw+HX2IxmciJsDE1xsK4KDOp1p4J59xw9Q8xWg1s1JZQI8sJSD8u2cZeuY09bCaOZPwtOr999pc0tzQd09pCCJKtBiZHm0myaOjAzlY/Gxw+/PrpDeP2yx5Iv94D2a1twiEbOrbrUqdI7qZalvHdGTeddvF1NlNW1nDkgxQKxWFRIkdxRlBRXcaC5XPpI3NJE9kYRNDJaBOhDJJjCCeKf3/6VqdzdCkpdvlZVO9lW4sfZ0Bi0QT97EYujLEwOMxEWA/3l0mMS+aFR1/DEmFhC6tYxExW8BWl5JNBH3IZxxB9PK2tDr5ZMvu4rmHWBMPDTQwOM2IQUOXRWdPsw3sahY4Qgt/d+zTxSYmsZSHrWcQWuYqV2lz2spXrr7yZiydfcdrsOdtpT0SetXCrSkRWKE4AFa5SnBEsX7sIk2YmSc/ssk8IQYrszfb8tTQ01REVEUOlR2d3m7+jr02IJuhtC4alejIBtzvSU3pht4UiGzUSSceAgWjiO6qQLIQQK5NZvmYR119583FdQwhBRoiRMKPG+iYfjT6dVU1exkaaT6hC7FiIjozhlT+8yaqNy1i2ZiFOZxujk8Zw6dQZ9ErPPi02nCu099ApKG+ljKBHRyUhKxTHjhI5ijOCVmcrFmHFILrvRmwlBIDKVic7ZTiNvmBnYIsmyLYZSD8Dxc3BuN0uQgknSXRfWWTGgsvtOuHrRJs0xkWZWNPko8UvWbtf6JhOotCRUuLxujGbLF36VRmNRiaNnsak0dNO2vXOV9orrmZuzKeMBiVyFIrjQIkcxRlBcnwKbYEW3DixCluX/U3mFsJ6T2KPiMTk0zEK6G0z0ivEcMbOeKqqraCsogSrxUp6aiZ7Gncj9a7VR1JKmrQ6BqcNOSnXDTNqjI00sarJR7NfstHhY1SE6YTL5Bua6vl09n+Yt3QOba5WLGYrF068lOuvvFklFJ9CsmyhbMPb02YoFGclSuQozggmj72Qf7z/Kvu82xkgR3YIAQk4EsNozOxLdmYOZlMwibiv3Yj1DOj4m1+wi8/mfsj6zavxB/xkZ/Zl0phprNm4gs071nccZwsJxam3UkkxyWR2WqOCQlr0Ji6/4JqTZleoUWNUhIlVTV5qvTp72gL0Cz3+X/eauip+9eTPaXG0kKRn0ItI2rwOFi7+mmVrFvLHR14jPSXzpNmv6IqaVq5QHDtK5CjOCGwhdu667QH+9I+n8QgXqbI3RnssTdnxNIf5sVjsTBo8nLFRZiJ6qBdMO7qUeHVYum4xr73zElYtjARtAAYdqorKeSP/Lxgx0Z8RHbOqSl37cNLKDtZTTzUJMhWJpEaUUU0Zl027mqEDR5xUOyNNGkPCTGx0+Njn9BNn1ogxH9+z++tbL+JyuBmtT8cqQjq2p+k5bHIt5U9vPM3LT/7zZJmu+Ba2ci/b6ooBlZujUBwLSuQozhgunHgpYfYw3vvsLXbLVqypGWgGDxlJaXxv5ChyE6JPaQmy1+thw9a1OFqaiIlJIKvPMFp1jbZAcHBnW0DiCYBXSlwuJ19s3UPisJuIJbnDrjAgWm+k2pOP7o4n4A7F3OqknyMRiyuEInYio31sqV8FQEp8Gndf9isunXbVKbm3ZKuBWq9OqTvAZoePydHHnp9TVVvBhm1rGMDITgIHwCwsZOkDyStayd6i3WRn9j2Z5itQ3ZAVihNBiRzFGUW/weP4XsZIKpod+Pw+siJCGRETdspDU/+b/znvz/0cvy0CY0QCBlsk1vXbGT18AqndjCHYV7wb6fcTq8dhwI9EIA0aaBphWhSt1niarBKbiO04J9KbRWjzIiYNG8FV46Zh0ASR4VGnvHfMwFAj9fsnm+9zHnvYqqi0AIAYErrdH0MwH6ewZK8SOaeQ9m7IbosNd08bo1CcJSiRozgjkFJS5Aqwq81PQEJ0WDiDQo0kW7uvtjoZePTgNPIv161g+d4KInMuI4IYTJjx4qbRWcHCue9zwyXfYUSfgdgMghCDwCQEy5Z/gGFXJbHC3/k+hEA3GWm1VFBsLSfLZsMfbicQagOzBXt8X4qM0Wz0h5Js1bDqEHIct7ivOJ8v53/Gzj3bMGgaI4aO5YoLriEhrmu3YaMmGBhqZF2zjwKnn/QQwzFNMG8fqeHDh4WQLvt9+5NiTaYjj95QKBSK04kSOYoex6tL8lp8VHuCZeEJZo3BYaZT4r0JSEmlJzjcst6r4/P7Wbl7J+EihnhvDKamVkzNVRhb2kh0edjEVv6Tv4oJz7xDfHxyxzpV1WUE6NpsT0iJwetD99QTcBRiF5VAUPx4Qq044/KxZ2fh3S/qSlwB0kIMZNuMhBzl/c6a9ylv/OsvWDUbMXoCHnT+V/EJn3/1X3L7DyO3/zCmT7qcmKgDXqR4s0asWaPOq7PX6Sc37OhnSPXPGYzNaqfCXUgfulaAVVCI0WBi+KBRR72m4vipKKjB6TGrcJVCcRSojseKHqXJp7OswUu1R0cjGFoZGXHyBU6LX2dLi495dR42O3zUeXUkUFWyE2fhJpI3lhO5fgehe0uw1DZicHvRhCCTvri9Lm7/1Q387Z2XCAT8eL0eGprqaaIOl2zrci0pJZUUd4RxICh+ah1badm3mpv6ZjIm0kSsOTiKodgVYHGDh71tfnR5+C7F23dv4fV/vUwa2YzTL6GfGM5AMZIJ8nKi9Djytm/g/U/f5rb7vstnX3144PpCkGMLfqYpdwfwHEM3ZKvFyrWX3UApeymVe9Gl3nGfFbKYQrGLyy64ivCwiKNeU3F85PZLUt2QFYpjQHlyFD1GqSvA1hYfOmA3BEcTnMzKKSkltV6dAleAOq/esd1mEKRZDaRYDfx95jd4y3YQJvp3u4aNMABS6MWchV9gMpv57hU3o0sdE2a2sJohclxHb5+A9LObzThpIZUsPNJFKw7qqKSMfVwyZQZpycEcnzizgXpvcIp4vU9nV5ufaq/O8HDTIb06X3z9EaFaBDl6bqdcHqMwMkiOZhmzSZPZSKnz5gevER0Zy9Rx0wGINgkijRpNfp1iV4A+9qP/9b/x6ltpbG5gzsKZFGu7sRGGS2vDFWhj8ugLuf37dx31WooTQ3VDViiOHiVyFKcdXUp2tvopdAUASLQES51PVldeKSXVngDLisuobm3DZDKTFJdMis1EZoiRaJPoEAg2qw2JpFU6CBXhXdZqoRmANHKwYGPWvM+49tIbMJssxPlSqKWCFXxFlIzDgJEGatAJ3tce8thDXsdaURExTBw9pdP6MWaNsSYT5R6dbS3BcQzLGr2MDDcR3U2595Ydm4jTU7pNVjYJMzEykWbqGc5knKKVD2e+w5SxFyJE8J4zbQY2O3Qq3AFybEc/rVzTNO667QGunP4d5i+bQ11jLVHh0UybcAk5vVSy8enm4G7I2+qCFVczLhjc02YpFGccSuQoTis+PdiBt3a/Z6WP3XhML9sjUefVWVhQxOJNa2hyNCEDPrzV+zA1lnPj5d9j+CXXd7rWBeMv4cv5n1PIDgbJMZ326VKnmF2EE02oCMcsLRQGdrBx6zqmjb+YJcvmM1KfSgPV1FFFgABpZOPBTSXF2ISddJlDONG4aKPUsZffv/ggv/2/PzBuxOSO6wghSLUaiDIKNjqCXYrXNHsZGWEiztw5K1kiEQicspUKCmnFgQEDcaQQTwrioDWTZSZ5lSuprCknOSEVCOY7GQS0BiQOvyTCdGzPPSO1l/LanEFcMzyHLfu9OrMWblWl5QrFt1A5OYrThjsgOzrwGgSMjDDRx248KQKn1a+zrtnLnMJKZi2bj7upjbQywbD1OsMKYwlvsvPP/7zKR7P+1em8vtkDSIhNpJoy8lhJo6zFI93UyUo2sAQHTfQhFwj2hDEIA05XGzdefSsWu5U8bQUaRvoznBwG48dLJUXYhJ1R8gJSRW/CRRQJIpURcgqxJPHqmy/g8/u63IPdqDE+ykyCRSMgYUOzj2af3umYQf2GUi4KWclcygiWdrtwso01rOYb6qgkkmDCsZlgtZPHc6Dg2KQJ4vZ7iGq9nddWnJ205+lkWyJ72hSF4oxDiRzFaaHFr7Oi0YvDL7FognGRZhItJ14e7tclO1p9LN2fvLx5+zqoKKbfeieJJR5MAYFdhNNfDCeDPnww8x0cLc2d1njy1y9is9qop5oNLGEZX7KZFegEGM4kIvf3ummWDfiln5SkNOJjE3jxsb+R068vO1jHMmazhvk0htQAkCH7YhLmTtcRQpAlB9Dc2sT8ZV/R2tbS5X4MQjAiPJiU7JewttmHM3AgSbhv7/54pIt0cpjEFQwVExgtLmAM0wkQQCJJphcA9VRjNlm6lJXH7M97qvcpkaNQKM5tVLhKccpp9umsafbh1SWhBsHoSPMx9Wk5FHXeYMVUuwiw+9vI//qf9HP1wSS6Vg9l0JfSwF6WrV3IFRdeS0tbC6s3LKWlrYUff/8XFJUWMGfBTAzSyGDGEkVch5dJlzoFYjsxEXEMHzwagOSEVJ5+6M9UVpdTWlGExWIF4LfP/ZJIYrpc3ye9VFCEQPDXt1/gr2+/wJD+I/j+tbcyuN+wjuO0/UJnVVNQFG52+BgXaUIIwbpNq4gUseTIzonHYSKSwXIs61lEG83oMkCZto9p4y/CFmLvZEf7aIdGn46UXQeGKs5O2kvLQSUiKxTtKJGjOGrcHjcFxXvQdZ1e6dnYbaFHPKfBp7OuyYtXl4ToXobajdgMJ9Y0zqcHE5dL3MEE3xBNMCjMSGtVA7rLgZ2uCcQQDDdZtBAamur5z+dv89Gsf+P3+zBqJny6lzB7OHfcdDcfzHyXna4NpOq9CZdROGmlXCvAKVp4/KcvYNA6e6CSElJISgi+VIrLCoFgCOlgO3zSy3oW48FFOn2IIhYPbop2F/LbZ3/Jb+56nImjp3Ucb9IEIyPMLG3w0ODTKXXrxAkPO/ZupT8juhUmEUQTQih72YaTVnRdZ2f+dnbv20Hf3gM6jgshQEnpPvYU7eE/qz/DJiTjRk7imstuJOIEy8DdHhdLVs1nzaYVeH1esjP7cOm0q0iMSz7yyWcBTpeTL+d/xteLZlHXWEOoPZwLJ17C1Zd8r1NfotONqrhSKLpHiRzFEfH7/bz/+Vt8Oe8znO5gXxizycKFEy/l9u//ghCrrdvzGrw6qxrd7Ni7nV15K6ha9wUE/AzIHsz1M25m9LAJR22DlBJdD9Cia2xy+Gjb773JDAlOJDdpAlNEFACtNBNBdJc1vNKNR3exr2gP6/JWkUnfYNWUtNKGg31tO/jH+69yz+0PsmXHRpavXYQ/EOxoPHzAaG7+zo/plz3wsHamp2SSlpRBWdVeYmRChxgpYAceXIxiGvaDqriS9Uy2iTW8/M9nGZE7ptOztBkEfe1Gtrf62dnqI9QSzOMx0n0jPyEEBmmgDQep9CaCaEqr9vHwM//HC4/+jd6ZffD5vDz554fZY4jGGpZIm19QX19E6ZfFfDr7A66bcTM/+M7taNqxR7JLyot45Pn7qG+qI1rEY5BGtu/Ywiez/8Ndtz7AZRdcfcxrnkm0tDr4zdN3U1ZRQrxMpTeDcDpamTX3M+Yvm8sfH/lrtyNAThcHCx01zFOhCCKkPEL3sXMIh8NBREQEH78xt4sLX9E9uq7z7F8fY/WGZaTJbBJIQ0OjhgpKtT1k9erDcw//BbO5s3emwaezusHNgpXzKcvfSNiOQmL1ePz4qNJKaNRr+dkt93LVxd897PVr66v5dM4HLFj+Nf6oVCL7jKV3r74M6zOIsXHhXaZqP/rHB8jfsZuR+jQMorOG3yPzqDAUAZLUQDbZYlCn/VJKNonlhKeE8ten38bldlLfWI/NHkZoWCS6BIMAk+CwIZ4V65bwzKuPkEQGWQzAjJWlzCKNrtcEcMk2VjKXe378ay6ZOqPz85eSZY1eWvySvjYDT//u+xgbrQwUXbsLu6WT5cyhL0NJE9lAsG/Pem0RfQf154lfvcDb/32dz2Z/QGzfS/HERmIrLCO+wo9AUEUpVZQwbfzFPPCzR44pjOX1erjj1zfhafYyWB+LTYR2XD+frZSxj2ce+gtDBgw/6jXPNF564ylWrFrCMH0SoeKAx8sj3WzWlhGXEscrT711RoT/Zm7MJ3pMohI5inMGZ2srP54ygebmZsLDu/fWd4dKPFYclk3b1rFy/RIGytHkiFzCRRShIoIs0Z+h+kT27NvBghVfdzqnyaeztsnLrsI9lOVvJHuHn4FyOAkilRTRi+H6ZNLJ4R/vv0J1beUhr11aUcz/PXI73yz6mriMy0jrdQVWXyjbVn/Dpy/fhXA2dDnntu/9DK/BzUaxlDpZiV/6aJXN7JAbKCGfMcMmEAgES73bcUsXBXIH28xb0GJTqDJHMaegnNVOI1uM8azyhDCvzsOCeg/f1Hn4qtbDvDoPKxq97Gr1U+sNEDjos8KEUVP45R0P02SpYQVfsVL7igB+oonr9j5DhJ1QQzilFcVd9mlC0Ht/p+Iit84VF19HtSilXlZ1Ok6XAXaxCQNGksjo2G4QRlL1bDZsWUN1bSVzFswkliQc3iriSCbTPIQ4kUysSGKQGM0gRrNo5Tes27zykN+X7li+bhF1jTUM0kd3CJz26/dlKBFaNJ/N+eCY1jyTaG5pYunqBaTrOZ0EDoBFWOmtD6KgdC+79+3oIQsVCkV3KJGjOCxfL/mScC2KeLp+IowQMcSKJOYu+l/Htja/zrpmH34J+VtXYNu5l1jZ+eUuhKA3AzEKE3MXzzrktV/8+x+QgRAGDPoF0bFDCJcRpBf4GbzTiqO2jtfe+VOXc0JCbMTHJtEsG9nMChbzBauZR62hjB/f+Av6ZPXDqJmwCCsSKAmtY0NWNfUjchCjpkCfXCxJfZi1eikNTlen6VTtvyw6weGejb7gHKg1TcFxEdsPSoK+aNLl/PuvX3DfHb/l8ouDYRovnm7vU5c6XunBau06/BIg2aIRogk8umT81OsYNmgUm1nBFlZRJvdRIHewgrk0UM1gxmAUncNZoYQjkezcuw2nuw0vXqw+E6FEIE2dvV2JIp1wEcWchf/jWJi/bC7hRHUKxbUjhCBBT2Pj1rXo+tlZ0VVUWoA/4CeW7nOLYkhEEwb2FOw8zZYdmrKyBjX2QXHeo3JyFIeluqaSUD3ikC74MBlJTW3wD6k7IFnT7MOjS8KNgtJVn9I3MBi6OdUgjEToMR2Jut8mv2AXhfW1ZA/+IVjC0Xw+QncWYWppA2EnQ+/Lmk3LqWuoITY6HoDG5gYefOpufC0+chmLhRCctNBMI1V6MWs2ruCK6dfiNxqpT47EGRdKtdlMLFFEE4+GhqHVicdRQYFrMSvKt/DM/c9gNgg0gi9rXUo8enCoqMMvqffp1Ht1XLqk0BWg2BUgwQTV2xbzzbxPKa0oxmK2EBkeRYkjnwSZ1uVZ1lCGR3czfuSUbp5E0JuTaNEodAWoCwgeu+85vl4yi9nzPmd35WYMmhF/wMdwJhMt4ruc34oDgSA8NOiB8OAkVg9DCIHsJvcmSsZRcojvS3d8MPMd8nZsIOoQnioAAwZ0qSOlztn42cpkDP6pDODvdr9OACl1TMajH3x6KrlmeI7qhqxQoESO4ghEhEfSIA79wnPRRnhYBAEpWb+/p4vdIBgdYcaEwEEjDbKGUMIxC2unc/2aF4ul+0qrraXF2AddSIghBkObi7CdhRg83o79sSSxS26iqLSgQ+T875tPaG1xMFa/GIsIekUiiCaJDOJlEnnl2xhmjiF23PXUBIz4ZQvWgInkejOWhmKMzW1ogWDFllHGsKlqOXv35nUp7w4xQFnJHjZuXUNAD9C390AG5Qyn0K1T4/bz4dKFlJXmY6nXSPNm4/V6qBIlePCwmRUMkCOxCCu61KmhnN3aJkbnjicrPZtDkWAxUOgKUOPVyQ0zc8WF13LFhdcipcTR2swP/+87NASqiaazyAlIP2XaXoYPHM3gfkMJtYXjdXrxyf0NArsRrx7c2EK6Tyb/Nhu3ruXfn71JONE0U49XejCLrt/TOlFFr5RsDIaz809OdmZfQm1hVDqLCSeqy/4qSgAYNvjMmcT+7W7ISugozkfOzr84itPGtAkXs2HrH2imgQjRuWLJLZ3UiHJunvRjtrT4afLrmIVgVISJ2V9/CAgqKKSCQgSCeJlKH4ZgEVYcspEmWd+t96LaE6DCnowwFGBobiJ8VylaoHOYw0+w0shkOvDJeeHyr0nQ0zoETjsBqxlT+mhi4nLIq6xi1LDxLJn/XzyVe8hpSCaMrhUx0SRgM9hZs3EFA/rksmzNIuYs+JySsiI8Xg9evwejMGEQRjy6i6S4FH5371MU7MijdN9uku252AcNJXRPMeaGZrLkADaLFTTIapYzmzAtEq9049ZdjBo0jl///PeH/T5EmQSCYJjMo4N1fxW7EIKIsEi+f82t/OvT/4dP+kgnGws2mqijUOzEY3Bz6/U/xWQyM+Pi7/DhzHdpFPXESR/mb9UdeKSbWlHBLeN+fFh7AnqAT2f/h/98/g4Ajv1ly7vYxCA5Gk0c8NZUyVJqqeSmS35z2DXbcbQ0s2bTctqcbSQnpjJi8OgeF0dms4VrLv0e73/2FqEygmQyg54wKWmghr3aNiaMmHrGlcq3V1xtw3vkgxWKcxAlchSHZeKoqXw+50O2lK0kWx9MAqkINOqoZK+2laiIaPqPvYoSdwANGBFh4j///StffP0xKfQimUyMmKmniiJ2sYHF9JFD2KPlkRKXzrjhkzpdr9ITYFOzj4T4VAKNFTTv3EEUXT0c5RRiDwmlX/aBaiVHazNRJHZ8rRs0XOlJuJNiQQiMshVfTTG3XHwxfdvG8ud/LsRMerfhNCEERsy4PW6effUxVm1YSowWT5yeihc3lZSAFOTKcUh09tTn8dDT/4fZbCG0JZyI/oPxRWm09MskdE8xlrom+svhrORrpo2/GLstlBBrCBNGTTuqAZcGIbAbxP6ZUzpWQ+dePTdc9UMsFisfznyXVc6Cju2ZKb157Pan6Z3ZB4Abr7qVvYW72drQSiXFJPsNhO5vCNgsG9ilbSTUHsbE0dP44uuP2bx9PVJKBvQZzMVTriQyPAopJX9642mWrJpPMr1IJA2BRjG7qKGMlTSQJDMwYaaWShqpYdr4i5k+6bLD3mNAD/Dex/9k5tyP8Ad8GISRgPQTExnLvT95iBG5Y474nE4l37vqB1TXVjJv2RyKtd3Y9Qg8mhOH3signKHc+5OHetQ+hULRFVVCrjgijpZmXnr9KdZvXY1AQxOCgAzQN2sAd9z5OAVaFBIYHGZENJTx84d/QA65ZIg+ndZxylZWMw+dABkpvXjiVy8QF5PQsb/GE2B9sw8dSLEaWPrxn1mw9CsGyJHB4ZNCoEudCorYzSZu+s6PuOmaH3Wcf8evvo+s0RgoRuOLCKU1Jx3dEuwAa2poZkfJB4wdNpj77vgtgYCfH9zzHcJao+knhvFt3NLJCr5i7IhJrNm4nMFyLHHiwKd0n/SyiWV48TCeS/HjY5X4Gp/0kss44kQKbdlpeBJiED4/kRt3ovkDrNXmM3naBfz8h/cd8/dhXXNwdMXgMCMZId1/PvF6PeTt3Eibs42UhFSye/XtkgOk6zrvrVjGwt17aCvZgizajaZpuPQ2EmOTufm6H/H6e3/B5XYGuz5LQaOoxWA08tDdT2A2mXnkj/czkNEkic5esDK5r6PKSyKDw0MTEnjj+X8fsffOP95/lf99/TGZ9CONbMzCgkM2sk9sp0nU8txvX2FAn9xjfm4nEykluwt28M2S2dTUVhERHsm08RczfPDo4+otdDrYsquSAmcrzhSzGuCpOGs53hJy5clRHJHwsAie+PULlFYUk7djA7qu0z97EKkZfVnW6EXqkjSrgYwQI28unY1FCyFN7+p9sYlQUmQvas3lpCSm8ejzDxASYmPimGmMGn85230WdCDZYmBImJGBP7iXZkcDazatwK6FYZV2nJoDl+7kkikzuPGqWzutf8m0K3n3k7dIyIhCJAfLqDW3B/u+Muobt9FKGRdNDn7aNhiMXD79aj764t8kynQixYExDLrU2SPysJit7N67nUSZ3kngAJiEmf5yBGuYTy0VJIhUYmUylRShE0AA9n1l+ENtBOwhODNTsOcXEyDQpWPy0WLeL1YON3LKbLYwasi4w66jaRqDc8cR02cUVAwnb+lnNDsaSUlK56JJl/P4Sw9i8dgYLqcEQ38iKOp2+jfwzCuPkjtgGGFaJIl6Wpe1U0VvamQ5OjpDGM9yMYcLJlx8RAFQ11DDrG8+oTcDyRT9OraHiyiGyPFsEIt575P/x3O/feWw65xqhBD06z2Qfr0P3xTyTEJ1Q1aczyiRo+iWPQU72bx9A1Lq9M8ZzOB+Q0lLziBtv3jQpWRNU3AeVaRRY1BY8EepsqYcux7WKSfjYMKIotS7ly0b84iScTTRwntV/2F2ZQsXTrmKnNhohoYb0YTAbLbw6C+fZWf+Vhau+IYmRyNxMfFMn3Q5vTNyuqw9beo1LKxuo9TvIVzWE1XpxFBUSJFeSCl7mTruIgYe5Am4/spbyNu2gY37lpIgU4kmPhiK0opx0cZdN/+KV956nqH063ItCM6LCpGhNFNPAqnYCEWgUSVKSSQdISX2faU4cvvgSYjGW7KdNk8Lw48z7GLc75DxnwTfqysAdQ11LP3iHWoKNmPWLOzeu4N5S2cj0BjG5E65TSZhZqAczSo5l32FewjXow5ZcRdBDOUUsk2swWQydWlw2B3L1ixEoJFK7y77NKGRqvdm6651NDTVER3Zc+MTzlZy+yWRS7BJoBI6ivMJJXIUnahvrOPZVx9l595tmDQzAoFX95CR3Ivf3vtUR9v6QleAep+OUcDwCBMGIdB1nT0FO3HSdsjBjy5a0dAYLS9EExq60UB9/0wq/DXMnfMeE797I1rkgRCIEIIBfXKPGKZo8OlsdBmZfvENbNy0nO0L/kVhQ7C03Wa1c8PFP+Sma2/rZJPFbOGph/7MF19/zJz5n7O9cR2aZiAlMQ1Di4FX3noeAJ3uXSdSSiQ6Yn9STzP1gKROVlLADjLph6nFiamphbYIM2UJDaT5Mhk+6MgVOFt2bmL2/M/ZW7gbk8nEuJGTyZ5wLRjDuiuIOiaklJQ1NrBoxdfI6mZGcQERMpqADFBFCbvZzC42MlRO7PS8DMJAnJ5ClbsE47cq5Q7GjRMfXtpMDh67/zmiI7sOK/02jtZmrFoIRr37EuwQQvcf51Ai5wTIsoXitthw97QhCsVpQokcRQcer4eHn7mXhtp6hjCeWD0JgEZq2VOVx0PP/B+vPf02whbB7tZgv5CBoaaOieIbtq6hvrEOgFoqujQQ9Ekv5RSQRCaa0JBAa58MNFsY8W4/O/I+4BfrZ/GLW+/niguvPWq725OVdSDWZuV3l1+Od8p4Ckr2YTQa6JM1AIu5+1J1i9nC92bcwvVX3kxdfTW/e/5+KivLSJBpJJHJPrZTSXG3zRCbqceNk2jiaZJ11BHs3jxqyDjW5a2iQisiQo/BX1uIP6Iv9oxsfnv5PSxc8TWV1eXY7aFMHDWV+NgDydJSSt756A0+mf0+oVoEUXosPnx89uWH2PcWMf3qn9HXfmKfwF06bN2zBeGXDG4bgnH/+AuDMJBCL0zSzBZW0Uw9kXQWFAaMmIxG6v1VtOIg9FvN/zzSRTWlDO4/lF///LGjEjgA8TGJuPQ2PNLVpToOgtVbmmYgRgkchUJxDCiRo+hg8ap5lFeXMJaLOrWujyaeYfpEVjq+Zs6i/5E66UZ0IMGikWo9EJZasGwuYSISi7SyjbXkyMEkkYEBY1AokUeAABkEE5JdaQn4osIRAZ24ndVYfQYMRPC3d/9EalI6QwaMOKLNle4AmxxBgZNo0RgaZsKoCULCoxg2aORR37sQgnc+/gd1tbWMkhdiF2HB7VKwk42UyHzSyO7wbDhlK9tZRwh26qmmjAIiicWv+UhOSOW1p9/hq0X/o7i0AEtoKDEjJoKE+5/8BS5XKzZDKB7dzVsf/o1LplzJz394P0ajkRXrFvPJ7PdJphduvY1S9gEQIu1o2Fiyah4Tkm8EjjwB/lA0eH2UlBUS3maijWa80oOFEMKIRAhBHMlYsVFFaSeRI6WkQatmYN8hVFSVk1e7gj76EGI5SAxreUSERfHQXY8TEd61n8yhmDTmAv7x/qsU+nbSVw7r5EHySS9l2j7GjZhEWOjRJxwquqeioAanJ5iQr0JWinMdJXIUHSxZOZ8YkUgoEV32WUQI8TKFxfkFzBgnMQvB4FBTp5dRY1M9NhnGAEawi03sZjO72YyGhr4/rJNDLjYRii8iFFda0INh31eK0ekGBFHEoWkGPv/qv0cUOdWeAwIn1WogNyyYy3M8NDsaWbZmIVn6wA6BA5BML1pxsIc8SthDtEzAjYsGqhEIJJIS9gISJ60EpB+rJYTMtN4dFVRSSt7aupeFq+YTQRrDySREt+OXfioo5JslswHBPT/+NTPnfoRNhFEhCwknin4Mw4CROqposxrR/T42bVxK3wsuP677BKhz+QjoOvUtuyhiVcf2UCLoI4cQLeKxShu+b42hKCEfh97I1Zd8j/SUTJ595VHy9q3sHNZM7MXv7n3qmAQOQKg9jNu/fxd/f+9PePGQKntj3d/rp1jbg2YV3Hr9T4/7nhVBDs7NUd2QFecDSuQoOmhpdWCVId32jQGwWKJxRQfzZQaEGbEaOh8YGxNPsVaEphsYKEbRWw6kjip0AoQSQR4rcdCIbtBozUkHIbBU12OpbcQhG3HRShRxWHUbG7auPWReD0CjT2fjfoETEWhjzf/e56W1i3A62wixhjB6+ASuv/IWkuI7V0V5dYlZ67pmUVkhAT3Q4ZVoR5qM9PUPJUGmsoEl1Bkr0P0SO+G04SCeVJLJCCYcU0qlLKKwdF8n24UQbN68Aquw0cc0GrO7DQCjMJJODkj4esksrp9xMzv3bgMgld70ZWjHGokikzJrJlWUs3LlXG48AZGzsXAvANYWH32Ygo0wWmiiiF1sYhlD5HhaaMKJkSK5K9gXSaugUdbxvRm3dHjIXvz939m9bwd5OzZ2SlA/3incV06/FrvNzr8/eZONdUuDzw5BRnIWQgju+u2tGA1GRg0bz3cuvZGcrO4TwhVH5tvdkFVpueJcRYkcRQfJianklW9C6t2LC2evZMLCIokxaaRYulZPTZ90OYtXzaOGchJIxSpspJIFQJtsQScQDIFkTCbEYg6WdxeU45VudrKBEOzEkkQFheh6gJq6akKsIYSHdfYsuQL7R0i43ezcuIjVn72MlDoahmA/Ha9g/uKvmLd0Dg/d9TgTRk0FYHmDl3n1Hu7NtBNtCtrv9XpYvm4xi/ZPUi+ngF6yPyZhxhdmo/zGS4las5WwvGAO0mUXXM0X33yMHx9xJJNEOjEkIoQghgSiZBxrN69g8/YNHWKguraS2sZaEq39EN+aHg5Bb9E+trNi3RIgmPeSzeBO34OAzYrNEIHNV0dVaf4xfV8Pps3rY8XWTdgJo29TbwwiOMbCQiLRMp6NLGUHGwjgZ2D/XHbv3Y4uJf1zBnH3JQ8wdvjETuv17T2Avr0HHLc932ba+IuZMnY6BSX5tDlbmbPgC5avW0SMlkAvfQB+v48Na9exfM0ifvXzR5kydvpJu/b5xsGl5dvqigEVvlKce5x1Isfj8TBmzBjy8vLYtGkTQ4cO7WmTzhkunXYVy9ctoopSkr416qA21IknJpLhmX0YGGbsVgQNHTiCscMnsXbTSlpl8/58HAM1VFCs7SI5LpX0PsPZoetYZAEhe7ZTHqikhnKMGBnGJHQCFLMHg2bgxw9cD8CA7MHccM2tjMwdgy4lmxw+8ksLWb7kCxx5XxMuowjgp5VmHDQwlIn0Yxjb9fU8/9rj/P25fxEXn8q8eg+1Xp2XC9v4ZS87juoiHvvjr6hvqiVCiyGCGErZSzmFDAy9COeN38EXFU7jmME4ts9H+iVrN60EwIyVFprIYyUh2BkixxMqIkginVItn68WfdEhclqdrQiDCSMmRDe9N43CiFmz4HI7CbWFYXHaO5KB2/GHBWdJ2VuhynXo6rUjsXznVlweF+ltCRj89Z32aUIjU/ZlMyu4dOoM7vnxg8e8/slA0zSyM/uycMXXLF+3iIGMIklmdHgYM/V+7GQ9f3rjaQb3G6qqrU6A9vDVll2VbCtTpeWKc48zs0XnYXjwwQdJTj6z5sOcKwwdOIKp4y5iB+vYKTfSKGtplvXskXkUZkkS45OZmJNDuLH7HxshBA/d/QRXXXwdFaYCVjKXZcwmX+QxfPhonn/kNSZ/5x7GjZxMa9V2yh0baKWZTPoylosIIZTVzMeDmxQ9i6FMYACjqCyo4vcv/oqvl3xJoStAfk0Ny1fPx7o9n0mBSxklpjFWXMQYpiOBTSxHIBjIKDTdwOwFn2PWBPdm2ok1adT5dP5c0MKjr/4Bn8PPOC5mlJzGKDGNiVxBdFgO9d8PChxjowPbB++xN7AJi8mKo76FkUxlElcwUVzOaC7AgImNLMUj3cFZUno05RUlHc8lMioeg9mKhzY0t6fLc3PKVlyBNpITUkhLyeySCwPgiwom3OrNNZhM5uMOCZW0BWcYhdZ3P8sojEgARg+bcFzrn0xmffMpsSKRJJHRabsmNPowFHT25zMpTgbZlsieNkGhOOmcVZ6cr776im+++YZPP/2Ur776qqfNOecQQnD/z35HRmovZs79mA0twRlI4Sn9GDh8MsP6D6N/WPel2O2YjCbuuPkebrr2R+zI30ogECA7sw+x0fGUuAI4PD76pPdmyJXX8OKr69EJoOs6FRRTxj68uBnJNMLFgcTVJD2dXWzk9f/+P36QNYGd+VuhcAcDPQM7NR0ME5EMkeNYTTBklijSiZcpbNq6HoBok8Yve9l5ubCNOp+OdcZvSP9gHvbWA31wtPBowm+8CX9UOP7GKhr/+zT7WgpJTkijsrqckUwjRBwYCRIuohkuJ7KCryingCwG4BYu4m1xHcfo1lDSUjIp27sLn9+D5aAeM1JK9ont2Cx2xo+ciiYMvJD/JK2yuaPCTWoCX0QYUkpqmvMYN6LzvK+jpby2mj01NQhgbd2/scgAyWSSSnaH56iNFgAijzFx+GQjpWRv8R5y5OBuc8RMwkyEjGX3vh2n3ziFQnHWcNaInOrqau644w5mzpyJzWY7qnM8Hg8ez4FPxQ6H41SZd+4gJWnJGVw6bQZOZyv9+w4h0GsMTgzk2LsmGx8Kuy2003iBgJTktwXzWnLsRrJGTCT1yf/HF3M/YvXGFfh8XgIBP8l6r04CB4Liq7cchCOjjX0leynesZbYKp1KiimXhThpwYiJeFJIJ4dwoqmlIth1GIHf72XRym/QdZ1+vQfwy16pPLapGFNUEnXfvwbLh3MxtTg7cnD8UeHQWEfdx48yOXcY0ybcy78+eRNfTYAQus48Mwsr8TKVaspIlOnUU8X1477fsb/GozN04Cgqd61lvbaSVL03kcTgxkWZ2EcTdTz4499jtViZMGoK//o0mS31qxikjyFcROGNjsCn6dR7C3G1VXLtZY8D0NrWQpuzlYjwKKyWQzfnAygs2csjb76CIWUw4W0mElxZOGiggB1UU8ZwORkjJorFHpLjUumT1f+ovs+nCiEEBs1AQA8c8hhdBDpNoVccP7n9kpi5MZ+K8uDfSxWyUpwrnBUiR0rJbbfdxp133snIkSMpKio6qvOeffZZnnjiiVNr3DnEjvytPPfq76lvqiXEYMMv/Xy1cQ3ZU1qZMnoqmSGH9+IcjlJ3AJcusWqCjJDg7Kas9Gzu++lvgeAQ0O/fdSXRxHe/QFQstqh4HI5GWveuJoBGGw5iSCSTvnhwU0kxFRRhJxwdHV3q1FCOt8bDi6//oWOpYQNHYZQGPBN/hi8qjvIbLyVh9jKqr5iELyocU6MD/YN/YvS38Ms7HgbgH65XsEjroSvPCMFHFXnaCuKjE7lw4iVA8Ge3yqNjt9l58OY7mfWZzoq1izte3n0y+3Pfdb/pmLBtMpl5+qE/8+gff8Xa6gWEa1FYEybhFS789bt46O4n0fUAj7/0IOvzViORmE0Wpo6/iJuv/TGx0XFdbJNS8uyrj2FKHUuS7E14dQVeojFgwE4YhexiB0FvV4Os5pGbnjnucNjJZETuGLZv3kqG3qeLPU7ZSiO1jMw9/JwuxdHTXnG1fHOwtFxVXCnOBXpU5Dz00EM8//zzhz1m586dfPPNN7S0tPDwww8f0/oPP/ww999/f8fXDoeDtLSuQwUVUFZZwiPP34/NH8ZoLiRcj0KXOuUpsdTUVrFo1j+58qf3cci3/GHQpaTAGXypZ9sMGLp5gZrNFgQCzyEazrtS4gmIasK9DsJMJhzuJoYxkRhxoFtwlhzAJpbjoIEM+rKbzXjxkEFfMumLhkYN5ezauR1hEVD+KEk3/BFfVDhlt1wBgKnRQcqHc9nStodeOQeGjKalZLK5csMhK88aqAn2d0lJ45FfPkOINehtrPPpuHSJUUDfhDgG/OJxWm5toa6+GrsttFO343YS45J5/bn3WLNpJau3baA+fgBRkbHccuNNVJbs4cGn7iZE2unLMEKw0exrZOmyhazfvJqXfv868bEJndbbsnMT1W4v2dZs9ICHLTWf46CmY79AUEsFEWFRPHzbk10qqHqK71x2I2s2LmcXG8mRBzozu2Qb27Q1RIXFMHnshT1s5blFsOIKCspbIbWnrVEoTpweFTkPPPAAt91222GPycrKYuHChaxatQqLpbMnYeTIkdx88828++673Z5rsVi6nKPonk9n/wfNb2CIPqHjZaLbbdgi0onXW9i9/hU2jZ/Y4XE4Fmq9Os5AsIFgWkj3E7itFisjcsewZ9tuUvRenXJtAiEWHBHg0z1Myc5mzZceUsjqJHCgfTL4cNYwn1L2EsBPOjnkiAPNzpLIIEKPYbXrG3RXG/7Z78It93TsT5i9jDrHThqp5WcXHdh+2QVXsWztQiooIoVena5bI8tx0MDN3/kx37+683ysdnGXZj0g7sLsYYTZwzgcBoOR8SMnE953HEWuAHFmjTi7xq/feJoIPZohcjyaCD7LGBJJ0TNZ37KY//fBX/ntPX/otFZ+4U5sqYMwYqKo5htkwM0QxhNDIj68lFNIITvold67o9z+TGBg31zu/clveOWtF6ihnEg9loDw00gtkWHRPPXgS0cM0ymOndx+SRRsPP42BQrFmUSPipy4uDji4rq617/NK6+8wlNPPdXxdUVFBZdccgn//e9/GTPm+CY6Kw4gpWTJ6gUk6706lS57EoOlueENAUL9ZpauWXBcIqfItf9FH6J168Vp54arfsBvtt7DdrGWHJmLVdiC4Z54Sa2oIMFsJDUmFpfHSRzdV9i1j5XwCS92GUYfMaTLMTYRSrxMxZ1kwnfFdzk4q6PkitFUfPAxFw29nIkHvfBz+w/n0qkzmLt4Fo2ylgRSEWjUUEYlxUwcNY0br7q1k8Bp8unUenUE0Mt27L9q7oCk1B18dr1tRtZvWUVDcx1jmN4hcNqxiBDS9RxWbVhGk6OxU+KwbrKhRSbQRB2+ir2MYQpmERT/Fqxk0R+rDGHz9vXsK9pD78w+x2zrqeKiyVcwZMAI5i6eRX7hLsxGMyOH3srUcdM7vGWKU0NZWYMKVynOes6KnJz09M49W0JDg3N7evfuTWqq8qmeKLrU8XjdWDnw0pCawBMXfFGGVNVhliG0OduOeW2PLqn3BquX0q3de3HaGdAnl4fufpI/vfE0K7xfEaZF4JVejFFTSYrpxy8uuBCDP2iDTvcJqcHJ4BIkePDglz6Momtyqi0sFePVt2OISEBra6Di82eIueIBTFFJ9PnZ3/lB39hOgkUIwV23/YrMtN7M/Ooj8uqC/XJiIuO47ZKfce2lN6BpB7xPupRsawkmWqdYDZQU7eCrBV9QVFpAiDWECaOncuHEy7CFHPpFvc/pJyAh0qgRYxIsrijCpJkJk5HoUse5vxLKRhia0IgiDl0PUFFd1knkRPcdgyz8gsaGHSS74zoEzsEkkk6htoMFK+aeUSIHID42kR9+946eNuO8IssWqrohK84JzgqRozi1GDQDcVEJNDXWd4RivDGRSKMBze1BNDXTqjWRnHDsf+gqPQF0gi9q+yH66xzMhFFTiIyI4pslX9LU3EhiSm9Chl1BbHQcGREWTCKMpLgUqupKuvXmtOfGDGAkO9lAOYUdA0Eh2Hm5LKwe/ft3YoxIwOJt4efpIfR+6u/UewP8tdRLHSH8pdjFL3sd6IwMwSZ1My66jisuvJba+mokkriYBAxaV/FW7ArQ5NcxCVg3921mfvkvbFookXosTcLBG7v/wsez3ufZh18mJSm9y/nOgKR4vwesX2iw+aLVYsOv+9jHNsopwrs/f8mMhVTZmwj2i1LLgSnerX4dT0g0SQkp5G/+Cjs53T53TWiEEEpTc+MRv0eKcx/VDVlxrnDWNQMEyMzMREqpuh2fRC6ffjU1ohSHDL7kPLGRAFhqGilhDx7dzcVTrjzmdWs9QS9OYjdjIL5NUVkBv3zsDh586i7mL/uK9VtWs3DjKsqrSggzgFkTCCG47sqbqJZllMh85EEdhFtlMztYTxiRJJFBHCkdU7wBKmUx68I2BgVOVCKysZbit+7nwd/exLq81cSHWPhlrwMNA18ubKPBp3exU9M0EuKSSIxL7lbgOPw6u/aXyzfnr2Pml/8ih1zG6ZcwQIxkKBMYz6V4HF4ef+k3XcqkpZRsbwnO5Yoza8Sag89u9NDxABSymziSGcEURjCFeFIpZCc72EBibDIZqVkda+1s9SOBa8ZOAaeDFpq6ffbtnqHuqrMU5ye5/ZK4ZngOEw0xlO3vhqxQnG2clSJHcfKZcdF1ZKZlsVEsJV/bSUukEadsYW/dAgrYzo1X30pqNx6Hw6FLSf1+kRBnPvyPWmV1OQ/+4S6qSqoYwnimcQ0TuIw4Yw47dm9hxfI5HcdeOnUG11zyPfaQx3LmsE2uZb1czGrm4cGNGydF7CKUcDw4KZA7qJWV7AorIvn7f8QYlYip0UGvDxcxvnkMUYF4nn31MaprKzsaBh5J6ByKgJRsavYRkMF7XvS/fxAnkskQncugQ4Sd/voIKmrKWJ+3utMaVV6daq+OBgwMPeBsLSrdi0QymDH0F8OJEnFEiTj6iWHkMg4PbkYNG9cRNqv1BjrWGRYbxuXTr6FSFOOWri52l1OAW3cxfdJlR32vCoVCcaajRI4CgDUbV9DU0oRf+qiIbKFCFFPh2o5uqef/bv8Nt3zn9mNe0+GX+CWYhSDcePjS8/c/fwu/O8BwfTJxIhmDMBIi7CRb+hFNAhs2LKK8MjgqQQjBHTffQ/+cwXhxU00pXtxkMYARTCKBVPaxnUqKsYeEUmrcyxbjOhJvfAYRFddRJm5qcWIQRgbKUWhSY/bCmQBdhM5fitrw6l1nTn2b9rlaLYFgP6As2iipKCJBdt+2IEJEE2oIZ/P29R3bvLpk+/5cnt42I6EHhfi+WvQ/IrRoEkTXPLQ4kUykiKG0vLjDlh3718kIMRBq1PjejFsIDQ9jo7aEClmER7pplQ72yDx2s5krLryG9JReXdZWKAA27SnvaRMUimNGiRwF3yyZzQuvP4mh0cxIpjI44jKiScDY5KC5pYleab2Pqzmcwx8UBhEmcdjz29paWLxyHqkyC5Mwd9kfRhRGYWLhim86bU9NTEMCo7iA8eJSssQAokQ8/cRw+jMCF21MmTCdf706k3CrHcPapZ0ETjsGYSRGT2Tz1gNio13oxJk1LoqxYNYOf/9SSra2+Kny6BgEDAs3YSDoAdIO82sm0NB1/aA1fLh1SahBkG3vHAorrywjXI8+5FoRMoaK6jIACl0BWgISsybIsQe9QdGRsbz42N/oP2AgO1jPMr5kNd9QZ63glu/czp0/uO+w96g4P8ntl4St3Mu2zcVK6CjOOlTi8XmO2+Pmn++/ShIZDGAkQgiaIuOIFFaSm7LYqm/lzQ/+xvO/exWA8soSVm9agdfrITOtN6OHjsNg6P7HqMUffHmHHcGLM3vBTCQSOxFdd+o6mtCwCDsNzXWddu3M30Y8KV3GQAAkk0khO3E62wizh2E2mRF5a0jf4UXzd63MEohO+T0QFDq/6x16VAJnR6ufUncAQVDgxJg1dGMU8TGJ1NaXE0/XpM026aAl0ET/nGAfn1K3TqUnGF4aGm7qUm4fag+lUTQf0g43Luy2UJyBAyM0+tuNnexPiEviyQdfpLKmguKyAswmMwP65Kp+M4rDorohK85WlMg5z1m9cTlOdxtDmYQQAt1gIGALvvAsLS7S9Ry27V5LUVkB//nsLVasX4JRGDFqJtwBF9ERsTx412MM7jesy9rO/SEe+xHmXQU9NIJWmoj/VsWUwesLlrhbNKIjYzvtq62vJp2+3a4phCBCRlNXH+zsO6jfENauWUW2bzB8SzzoMkC9VsWl/Wd0WedIAqe9VLxkfz+b3DATiZagB0bTNK665Lu8+Z/XiJXJncJMfuljl7aRSHs0E0ZOpsmns73VB0Afu5FIU1fvz9TxF/HPwldxylZsIrTTPrd0UisquHX8T8lz+PDLoEhLtXbvRUqKTyYpvvteQwpFdxzcDbmMYCKyEjqKMx0VrjrPqW+owaSZO16agdBg+bHmDno8wogE4C//7znWblzJAEYySc5gon4FY5gODo3HXvg1hSV7u6y9vz0OliMIhcqackBSRgFe6em0z9DixEEjWlgkIwaP7bQv1BaGi0P37nFrTsLDgvbPuPg62vQW8tnSyWOjS51dbMInvVxx4TWHtfPb+HTJ+mYfJfs9OEPCTF06Ol918XeZNGYaW1nNBrGEArmDXXIjK7W5eMwuHr3/GXSDiQ37k5UTLBq9bd33E5o+6TJio+LI01ZQL6uCPYGkpEHWsElbTlRENP3GXkG9T8coYEiY8YyYQaU4d2ivuGoPX81auLWnTVIoDosSOec5EeFR+HQvnv0VN35bUOQY24I5K237G87tKdhJf30kySITw/5uu2EikiFyAqaAmY++/HeXtduTdU1HeNGajMFmfRKd9SymWpbik17aZAuFrWuo18sRJiuVbc5O502beAnVWile2XXeVZOso1lvYOr4iwDo23sAP7vlXkrIZ7X2DflyC3tkHqu0r6kSJdz304e77VdzKFr8OssbvdR4gzk4IyK6ChwI9iD69c9/z0N3P0lqn1TqQyvwxbqYcdl1vPbMu+RkDWB9sw+XLrEbBEPDTIcUJrYQO8/97lUSUhLYxHKWa7NZrs1mI0uJTYrlkYdfpVQPNvrrH2o8qr5ECsXx0F5anm2JVHk6ijMaFa46zxk3YhJ/e8dCsW8PfRiCHhJM/DW4POhSp4Q9mIxmDAEjcbJreMMgDCTpmaxYuxj/T/0Yjcf+I9W/zyA2bl3LUCaSzxa2sqZjn1GaSK7pT3OikTqtc3fgqy7+LvOWzGaTcznZ+mCiiUeiU00Z+doW+mT0Z8yw8Z2O79t7ALO++ZStuzYjhGDSoKlcdfF36ZWezdEgpaTEHWBHa7AbcYgmGBFh6ggv1TfWsXztIhwtzcTHJjBx9DTstlAmjZ7GpNHTOq2lS8lGh49Gn45ZCEZFmDAdweuVEJfEK0+9xfY9W9i6cxMSyaC+QxnQdwgrGn0EApIEs3bE7tIKhUJxPqBEznnIpm3r+eLrj4IvegTxsYmUVOajS51YSzJIidNVyy5W0EQ9Jr8ZC9ZDehis2AjoAbw+TyeRc7SBkpuuvo2NW9fSQiMjxVTapINWHBgwEEUcxRWVGJJzMMWk0eTTOwRFTFQsz/3uVZ7762NsKl+GUZiQ6ARkgJGDxvKrOx/tkhTdt/cA+v58wPE8NpwByZYWH3X743CxZo1h4SYsmiCgB3j7v6/zxdyPEGhYNCuuQBtv/Osv/OTmu7n8gms6rSWlZMtB1VgjI0ydysUPhxCCQX2HMKjvkI618lr8tAQkFk2QG35ob5BCcTKpKKghOi7xyAcqFD2EEjnnGR9/+T7vfPQ64VoUKXpvQFJbXQFAtbGUJnM+Bupo8yxB0EQu42mhkRLy8Ut/pwGe7TRTT5g9HOtB4wSAoFciIPEcocdM/z6DGTpwJFu3byZURhIpYrATDkCDrKbYvYExcWMxmy1sdPiYEGXuyPNJT8nktWfeZfueLewp2IlBMzBk4Ahqaiv516f/D7/fR5+s/kw5gYGOfl2yzxWgYP8sKYOAvnYjvUIMHWLiX5/8k5lf/ZcsBpJGb4y6CTcuCn07ee2dl7CFhDJ13HQgKEq2tfopcwc6Kqmij9As8XAUuwKUHVTZdaQcKIXiZNA++qG94mrGBYN72iSFogtK5JxH7Nq7nXc+ep1e9CdLH9Dxgs7U+7GPbRT5dzN++GS25G8nxhfNIMYjhCBcRlLITorYRTaDOq3ZJluo0kq4Ztr1nQZUQjCU0whHFDkAv73nD/zu+ftZX7iIKBmLjXDaRDNN1JPbbzj3XHIF650CZ0CyrsnHyAgT1v1VWwd7NqprK/n9i7+mtLKYUEMEBgx8s2Q2b37wNx66+4ljmqIekMEp4PltgY57iDFp5IZ1zndxtDQzc+5HZNKPXqJfx3arCKGfHIYPD//65J9MHnMBCNFRjSWAIeEmkizHH1qq9+rsaA2Wi/cLNXaMgFAoTgcHV1ypYZ6KMxElcs5xAgE/azevIr9wF2s2rsAqbGTJAV0mbPeWg6jRyqmqr0HXdXr5szuOsQobveVA9rGdNtlCKr0wYaaeasq0fSTEJ3LdFTd3ubZtvwhpCRxZ5Nhtobzw6GusWLeE+Uvn0NhUT3ZMDhdPuY/RQ8exfstqFi2fT01EL8y2MDakZnD94AEkh9k71vB6Pfzuuftw1DsYxTQi9BgA3DjZ5dnEH15+mL88+SYZqYfv6usOSIrdAUpcB8SN3SDoZzeSaNG6hILWbF6Bz+8jjd5d1hJCkCp7s7F2KXuL83FE96LKo3cInJQTyJ1p9etsaA7OuEq2GMjqJvFZoTjVtHt03BYbXUsAFIqeRYmcc5g9BTt5+i+PUNdYQ4jBji/gxY+PDSxhsByLRRxoACeEIFpPoLnFAYBJHvjR8Eg3UcSRxQAqKGYTy4PHGM1MG38Rt91wJ2H2sC7XjzQFxUDjUc5+MhlNTB03vSOsA+D3+3n2r4+xeuMyIrUYwsz1uAYMZm1THdv37eKWaZcyIjEGu1Fj+brFVNaWM5aLCBUHGgtahY3Bciyr9W/4fO6H/PInD3e5tl+X1Hh1KjwBajw67RaHaILeNgPpIQa0Q+S5tLW1YhBGzHTfUM+KDWE0s9mpYbMHc3CGnqAHx6tL1jX78EpJlEljSLgqF1coFIpvo0TOWY7f72f1xmWs2rAMt8dFekovLpkanBb+22d/icUXwmguJFyPQiKpo5KdbGQzyxklL0ATB8IbAQIYjSbwuGigmigZzh7yqKUCSdCj0f4if/juJxk2aBR2W2hXo/YTtT9BuNUvcQdkR3jpWPjwf++ydtMKchlPvEwGD+hbfDRmxVIa7+TjlYtxTJ1BnFljSX4+0fYs7M6unZMNwkCinsaKtUv45U8exq9Lmv2SBp/e8e9gh1OUSaNXiIFEi3ZIcdNOcmIqAenHQWO33ZcbQ5yEDrgEaY/CKGBUhJmYEwgr+XXJ2iYfbQGJzSAY0U13ZIXidFNRUIPTE6zOVCErxZmCEjlnMXUNNTzy/AOUVhYRoUVj0s1s3LyOj7/8NwNyBqP7dIbqEzGKYB8aIQRxJGOWVtaxkFoqSCDYhdcv/dRpFYxOTqO2qYFCw3zycSAQ9GEIUcThwU0Z+6ilgoam+sMKHAg2AYwyaTT6gh6SLJuRQMDPinVL+Hrxl1TXVhIZEcWFEy9l2oSLuyQu+3xeZn3zGSkyi3hxoHxdC+jE5NcQqGxlb2ohdbljITqO1sh0rEMjafQnYfB40Tw+hC/YRRihoWkWjNZM5tV5us0TshsESRYDSRaNiG46Dh+KEYNHExMZS0HzdnLl+E7C0RkVQm3fdJITE4kNDWNkhOmY1v42ASnZ4PDR5Ncxa8Gy8+MRjwrFyaQ9ZKW6ISvONJTIOUvRdZ3HX/oN9dW1QU+NjAIBAd1PATvYsWcr6eR0CJyDiRDRhMtoqiklgVS80sMOsR5hEPTvPYAsXVKy+N9Il84YLsIiguIjlAiiZTx7yOPND/7GlHHTidjfUfhQpFiDIqfMHSDZ4OfJPz1E3s4NRGvxhOoR1NU18Nrel/ji64959revEBVxYABlSXkRrU4H/RjR7dpxLXZ27l6IqSCXfmnfYYfFSI1sJWDUkCYbfEuDuWgjKjyqQ+BYNUG0SSPaJIgxa4QaDj9I9FAYDEb+7/bf8MSfH2KDWEyqnk2ICKUpPYqmNAPCCBcOHc3EaPMJVT61Tzmv9QY7Go+OMBGmGv4pzhBy+yWRC8zcmM+2umJACR1Fz6NEzlnK5u3rKSzdywimdAqRGISRbDmYYvKxEHLI862E0Egdm+UKGkUtRpORx375LC1hYTS4fWC0kEZOh8BpRwhBL9mfCr2QRSu+4ZpLv3dYO5MtBna1+nH4Ja//7wO27cpjOJOJlvEdjXRaaWZz9Qpeev0pnvrNnzrObQ+RHUkWmAJesu1Gbh46iJ99+EfC7MNJNw9CWszoJhMgcQTqqJOb+f7lNzIxyozNIDrNpZJSsmXnRmYvmElxSQFWawgTx0zjkilXEh7WzeDQbzFyyFieffgv/Ovjf7KjZAe2vhMwhllJTUristyhTE5PPGLY63C0Nw5s76tzcANCheJM4prhOczcmN/TZigUgBI5Zy3r8lZhN4QRGYjtsk8IgUVaaaKOdHK67NelTrNoICIygrSUVK7oP4OLp1xJZHgU65u9VHhc6EYLEUR3ORfALCzYtDCq6yqPaKdZE/QKMbK9qY015bWkyT5Ei/hOx4SKCLL1QWzavpaS8iLSUzIBSE/OJNQWRrWzjAhiuqxdTzU+3cvgfkMBSElK50c3/Iy3PvwbLVoxiXo6BozUUUm1KGXkkLFcN2EqBkNncSCl5O/v/ZnZCz4nTIsgUo+jhTb+VfJPPp/zIc88/DLpKb1wtDZj0AyEhYZ3e68D++Ry1wN/YV1tEy6Ph3CbjVExYSSdYPfhwH4PTofACTcRZ1aVVAqFQnEklMg5S/H5fBg5dGfbGBKooJgmWUek6CyEStmLR7p44f7X6J3RWQTZDAKzyYzBFnHI4ZcBGcAjXYTZu3/Zf5teNgMfrdqACAkjOmUUVHRdN55UBOvYvjuvQ+SYzRaumH4tH896n2gZT6xI6jjeJdvI1/LITutLv+yBHduvu/z7JCek8MmX/2HHvvXBtWMS+dHFP+eqi77bpQMywDdLvmT2gs/pxzBS9KyOZ+qRLvKcK/nNU/dgsVipb6oFICezH9ddeVOnMQ2tfp2tLX7qfToWq53ksDCGhpsIOcF8GZ8ezMGp8x4QOPEnUJWlUJwutm1WIStFz6NEzhlMQA9QVFqA1+shNSm9kwchO7MPcxf9DzdOrKJrJ1+JjslgZLO+nGTZiziSCeCnUpRQTSnfuezGLgIHINyoYTZbyOoznJKij0jWMzsl0gJUUoRX9+D2uCkpLyQ95fB9Z4xI8lfMhKT+eDPS8DlKMLU6D3tOO9+/5jYKiveyLm8FUSKOcD0Kt3BSKyqIjYzjt//3hy5Cb9yIyYwbMRmny4nf7yMsNPyQYlBKyWdf/Zd4kULqt/rcWEQI/fURrHHNx+iykMs4AvipKi7hub8+RsV37+C7M37APmeAfd/qhpx5mJLzo8W7v4qqyR/MwRkZYVbN/hRnBdcMz2HLQd2QVZNARU+hRM4ZiJSSrxZ9wUdf/JvaxmoAjAYjk8ZcyE9uuovI8CimjJvOmx/8jd2ezQyWY9DEgU/3DbKGalHO96+6FbfXzdyF/6PEFYyRJ8Ykc/eVv+LSaVd1e+0IY/DFPHjEFHbPf4c8uZJsOYgwEYlf+iinkL1sRUPji68+4tM5/2HUkPH86s5HCO2mVw5AVW0F9QWbsJtDaY2Jw9K/F+Fb92JwezqOqaEciWRg39xO55qMJh697xlWrV/KVwv/R2V1OWGh4cyY8AsunnzFYSu8bCFHHuPgaG2mrLKYwYzpNvknTERik6GEEkG8CP6RTiKDvWzngyXzMAy8CGtYMCcqzqwxOMzU0QTxRGj166xrDpaJmzXBaJWDozjLOLgbchkNSuQoegQlcs5A/v3Zm3z4xbskks5wJmPGQl2gipWrl7Arfxt/evwNwsMi+M1dj/OHl3/LajmPRD0dM1YaRQ01lDOk/wiuv/JmTCYzt1z7Y6pqKzEajSTGJXcZv3AwofsTcqOi4nng/hf5xxtPsKZ5PiZhxid9gCSOZAYxBiEF1ZSRt3UDT7z0G55/5K9IJBu2rGHJ6vk4WppJjEtiSP9gdZQtv5h6azhWey4M6h0UOh4vbdLBHjaTEJvU4RWqqq1gxdrFtDpbSU5MZdLoaUz81hTvk4JsLyU/tDARHHheEvBFhROTdjUtYRVsL9zDxKFj6R9qJKmbbsjHQ7032MnYK4N9cEapKirFWUp7afk2vD1tiuI8RYmcM4zKmgr++8V7ZDGALHFgWnYoEcTrKayrX8incz7gRzfcycghY/nzE//gszkfsmLdYnw+LykJ6fzsonu5dNpVmIzB8nGz2dKR53IkhBDEmTXK3QHiMgfx7sufsC5vNR/N+hf7CvIZJadhFwfCZkmkY9YtbNq7jFUbljJz7sfsyN9CuBaFRQ9hp7adOQu/wGQ0Y/Gb8G/fTNkgCLUlUTfYjmtXHjUtOwC46dof4fP7eO2dl5i/dA4GzYhZWHAGWnnjvb9w949/3akb8skgPCyS5Pg0amrLOnoGHUyrbKYNB5n0xxsdgSstAX9o0ENk8ZtoK9jA1Asnd2nG5/N50QwGDNqx5c+UugJsbQmOaog0ap1mdCkUCoXi2FAi5wxj/tI5mDQzGXqfLvtsIpREPZ2vF83i1ut/iqZpZKVn86s7H+FXdz6CruuH9dIcTENTHbMXzGTJygU4Xa2kJqdz+QXXMGnsBSTsFzkVbp2+djNjh0/kpdefIlVmdRI47UQTT5gWyT/efxVHUzPDmUSUHo8QAqlLyilgl38TFRQx1Dcez/Zm6gaF0RZiRRs8mvDSEMytJUybcDGvvvUCC5bNpQ9DSNYzMQgjLtrY59nOi39/klB7GCOPYcjmkRBCcO3l3+O1d14ihiKSyOjwxnilh+2GTYTGD8aSfBEtIcFuzyKgY6msxVUxl/RBWR0Cx+/3M3vB53w57zMqasrQhBas6LriJgb1HXJYO3Qp2d7qp9gVACDRojFMdTJWnCPYyr1qgKeiR1Ai5wyjqraCUCIwiO6/NRHEUOrci9vjwhZi77TvaAVOYcleHn72XtwuF/F6KjEkU7W3mhf2PMmS1fN56J6nMAuBS5fUeXXizBpOdxtW7N2uJ4TAolupa6hiACOJFgmd9qXSG4dspMZQzqbAcuJ8yUTkOfH0zqQtPhRz1kCunfRLCmpqmL90Dn0YQprI7lgjRNgZKEfhES7e//TNkypyAC6dehX5Bbv4ZulsyrQCovRYvGEhNMdbMcVNI9mQgxRWhD+AtaoOa0UtTm89jZQzYdRtQFDg/OHlh9mwZQ3xIpUBjMQvfezaspOH8u7hgZ89wrTxF3d7fXcg2AOnwRcc3JljN5JjM6hZVIpzAtUNWdGTKJFzhhEWGo5bOJG67PYl56INo8GExWw5rvUDeoA/vPxbhMvAOP1SzGL/OhLqqGR93io+m/0+gy+8mSJXgEJXgHiLgfiYRJrr60klq8uautRxiCaQggTSur1uCr2oCBRx3eU3sWHLGkqqtxNSWcjo/teTMuJSjLYwPt65CVv/ydSXVFLftoJo4kkiA5Mwd0zz3lq4mpq6auJjE7q9zvGgaRr3/PhBho66gK83rqPGLzDZoxgYl8S+oj00OgtJLTcRUeuGQIBm6tmpbSApJoWJo4J5QrMXfM6GLWsYygRiSOxI8UnTs9nBel7+53MMGzSKyPDOs62qPQHyWvx4dYlp/+DOBFUirjjH+HY35LKyBmZcMLinzVKcByiRc4YxZex0Zs37lBrKu+SI+KWfSq2IyWMv6Lbfy9GwYcsaqusqGcUFBwTOfmJFEkkyky/nfcYVl91MiQtqvTpNPp3LLriKf3/yFukyhzAR2em8UvLxSjcGjGh0700y7P9RGzt8At+94ibqG2sJCw0nNjoeZ0AyZ/tOtu/OwxSdgim6LwFHPUU1eRTUzWdIYBRRIg7r/g7OTlcrcOIix6tL6n069V6dGq+OMymX8VcEq7sMApIsBlqSo/nrqw+x3tlCuCGKgMFPW6CFtIRMnvjVHzHvF5tfzvuMeJEaFDgHIYSgjxxCjV7OvKVzuP7Km4Fgg79drX4K94enwo2C4eEmQlWCseIcpr20vKC8VYWvFKcFJXLOMPplD2RU7jg2bV2PT3pJIh0NAw4a2KttI2D0c/2Vtxz3+jvztxFisBOhd9/NOJ4UNrUU0NJYRbItkTJ3gF1tfq6c/h2WrV7IxvKlpOnZxJKEHx8VFFFFCZPHXMjSNQtopJZo4rusW0slRoORT2Z/wLq8Veh68OU+IHswl114Df9+83kiTBlkpF+GHhsHEekkhA+mpncJe1rK6eeIprG5DpPbTkxU3DHft1eXtAUkDr9Os0/S5Ndp8bcPjghiEMEy8ARzcPq4SRMwMJdRf/mMZWsWsKdgF0ajkRGDxzB88OiO8KDP56WipowBjOq2SMskzESIaApKgmX8zT6dvBYfDn/w6r1CDPQLNar8G8V5gQpfKU4nSuScYQgheOieJ3nlzedZunoBe0QeBmHAp3uJj0rk6V/8+agrpbpDExoSiZTdh8MkesdxfexGKj0B6rw6jVYrz/3uVd756A0WLPuKAl+wIio2Kp6fz7iPyy+4hsKSfeyt3spQfWInL1GrbKZE7EYIja15m8nWBxNBFC6clO3by0t7/4BZWBjsH4hhTwV6UQ2euGg8cVEk2DIoDfdQHW6mLS2DAakTWeEyE+r1YjWAUQjMGhgQSILzrnQJXhkUNl5d4gxIfF2HjgPBkvlYs0aMWSPOpGHsZoCm1WLloslXcNHkK7p/poZg/oxfHrpM1o8Pk8nC7lY/+5x+dIJT2nPDjCo8pTjvaBc6bosNd08bozinUSLnDMRqsfLgL37PD6+/g7WbVuL1echMy2b4oFFHnVx8KIYMHMGH/3v3kB6XakqJj0kkIS4JTRNk24zsbvOzo9XPlGg7d932AD+64U7KK0sxmUykpWR2lEk/dM8TPPT0PaxxzSNBTyMEOw4aqRFlmC0WNK+BEfrUDgEUQQzxMoWlzCJepnYkW2tePyHlNYSU1xCwmqkNK6Q+QhAan87QgSPw+gNsKt7LvuJ8XC4nISE2sjJyyEzphWY4tGCwaoIwoyDCqBFhEkQZtZNSnm3QDIzMHcfurTtJ07O7iEeHbKAt1EDUyKvId/qB4ODSgWHGE5pKrlAoFIrDo0TOacLR0kxFdRkWs4WM1KyjEiuJcclcdfF3T6odg/sNpVdqNrsrNjFEH49NBLsUSympoIhKSvjZZfd22JdlM1DuDtAakGx2+BgVYcIWYicnq1+XtTNTs3j1qbf44uuPWbD8a8qcBcRHJ3DduJv4eNa/6cewLnlAmtAwSGNHzs63Mbi9aK4qREsdf7zrASxWK4/95VEKqiuJsiRj1SJoNvlYsnUJexNSue36n2GzhmDSwLzfyxNiENg00a2X5mTx3Stv4qEt97CTDeTIXEzCDECzwUF+rwDJWdcTm9QLiyYYFGo84aGdCsW5QEVBDU5P8HdFhawUpwIlck4xjc0NvPmf11i2diH+QPBTfHxMIjdecyuXTLnytNsjhODR+57h4WfvZVXdN8SQiEVaadbqadUdXDp1BldO/07H8QYhGBZuYmWTlxqvTr4zQB/7oX9s4mIS+MlNd/OTm+7u2LZ99xY+mvUvIug6MR0ggmhqKSdbDuriBdGlToNWw6TR04iNjueFvz9J4e48hukTiBAHJpM3S428ornM01v5zV2PH+fTOX4G9R3C/T/9HX/5f89TrZcRIWKQCSkE0noREdWbaRMuIcNmol+oEbPy3igUnXJzttWpYZ6KU4MSOaeQ5pYmfvXkz2msb6SX3p9oEvDhpby+kFfefJ7GpnpuvPrW025XQlwSf3v2XRatnMfS1Qtoa2slJ2UMl06bwaC+Q7sIjQiTxqBQE3ktPva0+bFqgvSQo/dE2O3B+VIenIQSjl/68OPHjAVNaCSSzhZWUcxuMjngIZJSUsB2XHobV154LQ1NdSxds5BsfVAngQMQIaLppfdn+dpF/OSmu4mJ6l5QnUoumHAJwweP5osVi8j3ANYwUhLT6ZeazpBwC9FquKZC0Yn20vItuyrZVqaSkBUnHyVyTiEff/k+DfX1jNSnYRMHBklGE0+ItPPvz97kggmXHrHny478rXy18AuKSgqwWkOYMGoK0ydddsiBmEeD1RLCZdOu4rJDDOr8NmkhBloCOgXO4NgBg4CUowy5ZKT0IjUxnYKqnZTIvdRTBYARE0kyAwMGBIK9bKNOVBGnJyOR1GrlNOsN3P79u+id2YcV6xaj64FD9uJJII3dcjM79mxh0pgLju5BnESafDq7dTsxIy4nhmC4LMduIOMkTCRXKM51si2RKglZcdJRIucUEdADfL34S5L0jE4Cp51M+lIuCpi/fA43XfOjbteQUvL2f//Op3M+wK6FEanH0kIdb+a/xiez/8MzD718QpVWx0p/u5GAhGJXgDyHD10Gxc+REEIwbuQkPv7yfeyE049hWLHRRB1lFBDAz6UXzGDUkPF8Mfdjtu/ZghCQ23841152I8MGjQSCzwMON0qzZ2j26exx+qn27K9MAzJCDOTYVWhKoVAoehIlck4RTmcbTlcr4XTfj8YoTIQSTlVNxSHXWLTyaz6d8wE55JKu53SEkdzSSV7LSh5/6UH++cJ/jrsx4LEiRDBpVpdQ6g6Q1+KjJaDTz248rKfC6/Uwd+EsYkkil3FoIhi2iSWJZNmLdWIhgUCAMcMmMGbYhEOu0z9nMJrQqJZlpJHdZX8NwXlR/XMGnfjNHgEpJQ0+yV6nn1pvUNwIgt6tPnYjNjVUU6E4anL7JTFzYz4V5R7VDVlxUjmrkgRmz57NmDFjCAkJISoqimuuuaanTTokVosVg2bATVu3+6WUuHERZu868LJ9/6ezPyROJJMh+nTKk7EKGwP0kVTXVbJ644pTYv+hECLY2yXHFhRWBc4AqxpczFu1kH++/ypv//d1tuzc1OF1AVi5YRktTgc55HYInHZsIpQ0mcPilfNxupyHvXZMVCwTR0+jUNuJQzZ22ueQjRRoOxg/cgqx0V1L408WupRUuAOsbPKxqslLrVfvEDdTos0MDTcpgaNQHAfXDM9hoiGmY5jnpj3lPW2S4hzgrPHkfPrpp9xxxx0888wzXHDBBfj9frZt29bTZh0Sk8nMhFFT2LBuHal67y4DN6spw6W3MXXcRd2e3+pspahsH4MY3W18JkxEEqZFkLdjAxNGTTkVt3BIhBD0DTUSbhR8U1jKZ2sW4WptRpTuwVtTwCez3yc7oy+P3vcssdFxlJQXYjOEYte7zyGKJp4C33Zq6irJTOt92GvfddsDVFSVsbZ4AbEkYZdhtIkW6qikd2oOd//416filnEHJGXuAMWuAC49KOAMAlKtBnrblOdGoTgZHFxx9a2pNgrFcXFWiBy/38+9997LCy+8wO23396xfcCAAT1o1ZG54aofsnrjCjbLFWTLwUSIaALSTyXF7BVbGTN0Yrf9ZgCk3h4CObSzTaAhpX5KbD8a9KYK/ve3B4jImkqabQDm3sMwxrbiK9jM7tJlPPL8fbz69NtYLVZ80osuA2iiaw6Pd3+6odUacsRrhtrDeOHR11i8aj7zlsymrrGWuKhYbpryQ6aOu+i4B5d2R0BKarw6Za4AtV6d9idt0QQZIQbSrYaT0kxQoVAcILdfEgUb83vaDMU5wlkhcjZu3Eh5eTmapjFs2DCqqqoYOnQoL7zwAoMGnfr8i+MlM603Tz34J/74tydY17gQs7AQwI8udaaMnc49P37wkOeGhYaTHJ9KTW3XQZ0AbbIFR6CR/jk9F7ueOfcjaGmh32Yf/uQ6XOmJ+CNCEUMn0KeuF9vKPmTFuiWMHzmFdz/+B1WUkkxmpzWklJRRQHJ8KgmxSUd1XbPZwsVTruDiKd2PWTgR2nNtyj0BKt2BTuMgok0a6SEGkiyamjOlUJxiylRJueIkcFaInIKCAgAef/xx/vSnP5GZmclLL73E1KlT2bNnD9HR3Sf3ejwePB5Px9cOh+O02HswA/vm8tafP2LDljUUlxViMVsYPWw8iXHJhz1PCMHVl17P3997mTiSSBTpHft80ssubQOh1nA2bV3Lex//E4Egd+BwrrroOnpn9jnVtwXA8jWLSNDTMQkDpopazHVNOHsl442NQotLITbuOuaVVtN/+DTGj5zK2g0r0KRGPKloQsMrPRSwgwaqoQbe//wtbvnO7Ue+8EnGr0vqfDrVnuA0co9+QNlYNUGq1UCqVVMTwhWK00SWLVQN8FScFHpU5Dz00EM8//zzhz1m586d6PtDN7/73e+47rrrAHj77bdJTU3l448/5mc/+1m35z777LM88cQTJ9fo48CgGRg9dDyjh44/pvMuv+Aadu/bwcIVX1MmCojS4/DioUYrQxgEXqeH1atXEqsHPSArVyxhwfKv+L8f/+aUeDm+jcvjIhFrx9cGr4+w3cX4S6txpSZgiDXgMoWyrtnH8O/9htaIf7N97Vx2t+RhkVactCCBvgzFj58PZr5DVnoO40dOPqV261Li8EvqvDq1Xp1G34FQFIBJQKLFQIrVQLRJqB43CsVpRnVDVpwselTkPPDAA9x2222HPSYrK4vKykqgcw6OxWIhKyuLkpKSQ5778MMPc//993d87XA4SEvrvpHcmYimadz/098xfuRkZs+fSVFpAVaLlSn9pjN/2RxS6U1f/UCH4mx9MLvZzCtvPU+f3v3JTM06pfalJKbRVF5HOjmdthudbuy7C2ksWUafy7+PWRN4MZLQfxzFbkmYzw5NdSQ0OUlsDcfqkgigUdTw+ZwPT6rI0aVkV2kRs5Z9zZbCfejWcGKSs8nJGUhWWjZi/4wum0GQYNZIsChho1CcCRzcDXn55mLKyhpITY1WYkdxTPSoyImLiyMuLu6Ix40YMQKLxcLu3buZOHEiAD6fj6KiIjIyMg55nsViwWI5eYmoPYEQgnEjJjNuxIEX/1/+33OEaHb66EM6lZZrQqOvHEq9qGL2/M+467ZfnVLbrph+DX975080UEO06Fy2XcxuXK5arh8xgvQYM7VenXVF27AGTMSZMyA+A+LBCbgCAQxtLmKcJva58ihzerGZjFhEMMnXIOgyagKC+TN+CX4JHl3i3v/PFZC0BSTOgCS/vJTFqxegSSMRcaMxYMDd6mT12kVU7d3MHTNuIMFqwq5CUQrFGUnQq4MKXymOi7MiJyc8PJw777yT3//+96SlpZGRkcELL7wAwPXXX9/D1p1+tu3KI1ZP6tJzBoJCJ0ZPZOuOzafcjosnX8mKtUvI27mCRJlBHMkE8FMlSqilgu9fc1uHNynBYsBWl4937VbCw8AXGY4/3I4/NARpMOAPD0UPS8aKYJPDj9A6V40ZBBj219LrBHNmAhIkh8bn87F07WIsfgvJbbGYnB6MrW0YHW00OivZwqfkRVm49tIbTsnzUSgUJ4d2r87MjflK6CiOibNC5AC88MILGI1GfvCDH+ByuRgzZgwLFy4kKiqqp03rAQTysK932a3n42RjNBp5/IHn+fjL9/ly/ueUtwQTxNOTMnlgxu+4YMKlnY4f2GcIy1YvJNBci83Rtt9SCNisBGxWym17iEtPJNpixKNLPLoksP82AxICh7hnDTBrAqsmsBogRBPYDIL165bSuOZzxronEiKaO50TJ5JIkGl8+c1nXHPJ907L81IoFCdGli0Ut8WmZlwpjpqzRuSYTCZefPFFXnzxxZ42pccZNngkCxbNRdeHdPHmBGSAOq2SSwfPOC22mExmbrr2R9xw1Q+ob6zDYDASHRnTrWi4YMIlvPfxP9jhXk+uHIdRmBCAoc1FRdtWasjjx1c+wYQoMxAMRwXFzX6R8//bu/egqMt/D+DvXZTdZYMViauCgjBhCspFOIKlqKN41BOZNp1DE6IHUzE1ndSyRI8KXdRhxCs6g+bgeBlTy6xOUWr6s58hSKFHvCClQJA/PSCQXHaf84exJ36gQsE+7Hffr5mdYb/f7355PwuzfHi+z/d5/rB2lVr1YAahnmo89Hbuj6/lwbGxJ3Qqhzb3u8ITP97+O2pq78HxibZnniYiIuvFgQhWaNLYKWhAA/4HuTAKo3m7URhxSZWLJjRi4pg4i2ays+sBtyc94OL85EN7RRx0Dljxehrqet7DGfVnuCTO46r4AefUObiCAkyZ8BJGRMSYj1epVOihVkHze8+MYw81HHs8uJXbwU4FrZ3qkfPV9LDrCSOaHrq/6fd9PXpYTa1PZPPKiitx69YdLvtA7cIixwr59OmPN2a/g0p1Kf6m/gwXRS4uiu9xRn0c/1CXY8ncFPTx9Hn8iSQYHDgU297bg7h/nQa1hwm/uVQjKCQYqcvSMfPfkzv1slFYcCTuGatQJe602ieEQIX6Jp72D4JO23ZPDxF1L8GBnogLDYBDaQMKL/yET77+UXYk6uZU4o8rKSpcdXU1DAYDDm7/HA46vew4f1lZxS0czzmCgot5UKmA4EFhmDg6Dp7uHJAHAEaTEXOWvoL//fUugk3DoVc9uCRlFEYU4xJ+QhHeWZiGfwkdITkpEXXUD5fLcd/DAfdd1RyEbAPqamowY2Q0qqqq4OTU/uEF7Ke3Yl7uffGf/zFPdoxuy05th/9a8gGWp72Os7f/G85wRQ9hj2r1P9BgqseMl+aywCEiUjAWOaRoHq5e2Pruhzj9/Tf4W+4p3K+/D1/vZxAb82/o42E9E0MSUWtlxZXo7eohOwZ1YyxySPHs7TUYHR3b6pZ2IrJezUs/cDZkehQWOUREZJU4GzI9DoscIiKyWs09OpwkkNrCW8iJiIhIkdiTQ0REVq+suBJ19Q9mS+clK2rGnhwiIrJqwYGe8HN4wjxJIGdDpmbsySEiIqvXvFL5D7/fcQWwR4fYk0NERAoSHOgJr3qN7BjUTbDIISIiIkVikUNERIrDsTkEsMghIiKFiQsNwAg7F/NK5Sx2bBcHHhMRkeJwNmQCWOQQEZFCNd9xdSTvKgpv844rW8TLVUREpGjNl6/u/P0XXr6yMezJISIixeMaV7aJPTlERESkSCxyiIjIZpQVV+LWrTuyY5CFsMghIiKb8Mc1rjg2xzbY1JgcIQQAoO63WslJiIhIBv9+Trh/pQ4lxVW4cb8O9XV1CPb3lB2LHuO32gd/t5v/jreXSnT0FVbs1q1b8Pb2lh2DiIiI/oSbN2+ib9++7T7epoock8mEsrIyODo6QqVSyY7TIdXV1fD29sbNmzfh5OQkO47Fsf1sP9vP9rP9tt3+S5cu4amnnoJa3f6RNjZ1uUqtVneoAuyOnJycbPKXvBnbz/az/Wy/rbL19vfp06dDBQ7AgcdERESkUCxyiIiISJFY5FgJjUaDlJQUaDQa2VGkYPvZfraf7Wf72f6OsqmBx0RERGQ72JNDREREisQih4iIiBSJRQ4REREpEoscIiIiUiQWOVbs008/RWRkJHQ6HZydnREXFyc7ksXV19dj6NChUKlUuHDhguw4FlFSUoKZM2fC19cXOp0OAwYMQEpKChoaGmRH6zKbN29G//79odVqERkZiXPnzsmOZBFpaWkYNmwYHB0d4ebmhri4OBQVFcmOJc27774LlUqFhQsXyo5iMaWlpXj55Zfh4uICnU6HoKAg5Obmyo5lEUajEe+8806Lz7rVq1d3aP0qm5rxWEkOHTqEpKQkpKamYvTo0WhqakJhYaHsWBa3ZMkSeHl5oaCgQHYUi7l8+TJMJhO2b98Of39/FBYWIikpCbW1tVi3bp3seJ1u//79WLRoEbZt24bIyEikp6dj/PjxKCoqgpubm+x4XerkyZNITk7GsGHD0NTUhLfeegvjxo3DpUuXoNfrZcezqO+//x7bt29HcHCw7CgWc/fuXURHRyMmJgafffYZXF1dcfXqVTg7O8uOZhHvvfcetm7dit27d2PQoEHIzc1FYmIiDAYD5s+f376TCLI6jY2Nok+fPmLnzp2yo0h1/PhxERgYKC5evCgAiPz8fNmRpHn//feFr6+v7BhdIiIiQiQnJ5ufG41G4eXlJdLS0iSmkqOyslIAECdPnpQdxaLu3bsnAgICxJdffilGjhwpFixYIDuSRSxdulSMGDFCdgxpJk6cKGbMmNFi25QpU0R8fHy7z8HLVVYoLy8PpaWlUKvVCAkJgaenJyZMmGBTPTkVFRVISkrCnj174ODgIDuOdFVVVejdu7fsGJ2uoaEB58+fx9ixY83b1Go1xo4di7Nnz0pMJkdVVRUAKPJn/SjJycmYOHFii98DW/Dxxx8jPDwc06ZNg5ubG0JCQrBjxw7ZsSwmKioKOTk5uHLlCgCgoKAAp0+fxoQJE9p9DhY5Vqi4uBgAsHLlSrz99ts4duwYnJ2dMWrUKNy5c0dyuq4nhMD06dMxe/ZshIeHy44j3bVr15CRkYFXX31VdpROd/v2bRiNRri7u7fY7u7ujl9++UVSKjlMJhMWLlyI6OhoDB48WHYci9m3bx/y8vKQlpYmO4rFFRcXY+vWrQgICMAXX3yBOXPmYP78+di9e7fsaBaxbNkyvPTSSwgMDETPnj0REhKChQsXIj4+vt3nYJHTjSxbtgwqleqRj+bxGACwfPlyvPDCCwgLC0NWVhZUKhUOHjwouRV/Xnvbn5GRgXv37uHNN9+UHblTtbf9f1RaWorY2FhMmzYNSUlJkpKTJSQnJ6OwsBD79u2THcVibt68iQULFiA7OxtarVZ2HIszmUwIDQ1FamoqQkJCMGvWLCQlJWHbtm2yo1nEgQMHkJ2djb179yIvLw+7d+/GunXrOlTkceBxN7J48WJMnz79kcf4+fmhvLwcAPD000+bt2s0Gvj5+eHnn3/uyohdqr3t//rrr3H27NlW65iEh4cjPj7eav/LaW/7m5WVlSEmJgZRUVHIzMzs4nRyPPnkk7Czs0NFRUWL7RUVFfDw8JCUyvLmzZuHY8eO4dSpU+jbt6/sOBZz/vx5VFZWIjQ01LzNaDTi1KlT2LRpE+rr62FnZycxYdfy9PRs8TkPAAMHDsShQ4ckJbKsN954w9ybAwBBQUH46aefkJaWhoSEhHadg0VON+Lq6gpXV9fHHhcWFgaNRoOioiKMGDECANDY2IiSkhL069evq2N2mfa2f+PGjVizZo35eVlZGcaPH4/9+/cjMjKyKyN2qfa2H3jQgxMTE2PuxVOrldkpa29vj7CwMOTk5JinSDCZTMjJycG8efPkhrMAIQRee+01HD58GCdOnICvr6/sSBY1ZswY/Pjjjy22JSYmIjAwEEuXLlV0gQMA0dHRraYMuHLlilV/zndEXV1dq882Ozs789WM9mCRY4WcnJwwe/ZspKSkwNvbG/369cMHH3wAAJg2bZrkdF3Px8enxfMnnngCADBgwACb+C+3tLQUo0aNQr9+/bBu3Tr8+uuv5n1K7N1YtGgREhISEB4ejoiICKSnp6O2thaJiYmyo3W55ORk7N27F0ePHoWjo6N5HJLBYIBOp5Ocrus5Ojq2Gn+k1+vh4uJiE+OSXn/9dURFRSE1NRUvvvgizp07h8zMTMX23P6zyZMnY+3atfDx8cGgQYOQn5+PDRs2YMaMGe0/Sefe8EWW0tDQIBYvXizc3NyEo6OjGDt2rCgsLJQdS4obN27Y1C3kWVlZAkCbD6XKyMgQPj4+wt7eXkRERIjvvvtOdiSLeNjPOSsrS3Y0aWzpFnIhhPjkk0/E4MGDhUajEYGBgSIzM1N2JIuprq4WCxYsED4+PkKr1Qo/Pz+xfPlyUV9f3+5zqITowNSBRERERFZCmRfyiYiIyOaxyCEiIiJFYpFDREREisQih4iIiBSJRQ4REREpEoscIiIiUiQWOURERKRILHKIiIhIkVjkEFGnmT59epurp1+7dq1Tzr9r1y706tWrU871Z506dQqTJ0+Gl5cXVCoVjhw5IjUPET0cixwi6lSxsbEoLy9v8eiOC0s2Njb+qdfV1tZiyJAh2Lx5cycnIqLOxiKHiDqVRqOBh4dHi0fzatFHjx5FaGgotFot/Pz8sGrVKjQ1NZlfu2HDBgQFBUGv18Pb2xtz585FTU0NAODEiRNITExEVVWVuYdo5cqVANBmj0qvXr2wa9cuAEBJSQlUKhX279+PkSNHQqvVIjs7GwCwc+dODBw4EFqtFoGBgdiyZcsj2zdhwgSsWbMGzz//fCe8W0TUlbgKORFZxLfffotXXnkFGzduxDPPPIPr169j1qxZAICUlBQAgFqtxsaNG+Hr64vi4mLMnTsXS5YswZYtWxAVFYX09HSsWLECRUVFAP5/Bfr2WrZsGdavX4+QkBBzobNixQps2rQJISEhyM/PR1JSEvR6PRISEjr3DSAiy+uy5UOJyOYkJCQIOzs7odfrzY+pU6cKIYQYM2aMSE1NbXH8nj17hKen50PPd/DgQeHi4mJ+npWVJQwGQ6vjAIjDhw+32GYwGMyrdTevVJ+ent7imAEDBoi9e/e22LZ69WoxfPjwxzX1od+XiLoP9uQQUaeKiYnB1q1bzc/1ej0AoKCgAGfOnMHatWvN+4xGI+7fv4+6ujo4ODjgq6++QlpaGi5fvozq6mo0NTW12P9XhYeHm7+ura3F9evXMXPmTCQlJZm3NzU1wWAw/OXvRUTyscghok6l1+vh7+/fantNTQ1WrVqFKVOmtNqn1WpRUlKCSZMmYc6cOVi7di169+6N06dPY+bMmWhoaHhkkaNSqSCEaLGtrYHFzQVXcx4A2LFjByIjI1sc1zyGiIisG4scIrKI0NBQFBUVtVkAAcD58+dhMpmwfv16qNUP7ok4cOBAi2Ps7e1hNBpbvdbV1RXl5eXm51evXkVdXd0j87i7u8PLywvFxcWIj4/vaHOIyAqwyCEii1ixYgUmTZoEHx8fTJ06FWq1GgUFBSgsLMSaNWvg7++PxsZGZGRkYPLkyThz5gy2bdvW4hz9+/dHTU0NcnJyMGTIEDg4OMDBwQGjR4/Gpk2bMHz4cBiNRixduhQ9e/Z8bKZVq1Zh/vz5MBgMiI2NRX19PXJzc3H37l0sWrSozdfU1NS0mPfnxo0buHDhAnr37g0fH5+/9iYRUeeSPSiIiJQjISFBPPfccw/d//nnn4uoqCih0+mEk5OTiIiIEJmZmeb9GzZsEJ6enkKn04nx48eLDz/8UAAQd+/eNR8ze/Zs4eLiIgCIlJQUIYQQpaWlYty4cUKv14uAgABx/PjxNgce5+fnt8qUnZ0thg4dKuzt7YWzs7N49tlnxUcfffTQNnzzzTcCQKtHQkJCB94pIrIElRD/dCGbiIiISAE4GSAREREpEoscIiIiUiQWOURERKRILHKIiIhIkVjkEBERkSKxyCEiIiJFYpFDREREisQih4iIiBSJRQ4REREpEoscIiIiUiQWOURERKRILHKIiIhIkf4PTmscmRp4JTwAAAAASUVORK5CYII=\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Verification using scikit-learn" | |
], | |
"metadata": { | |
"id": "3QZ66YRFTtdn" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Comparison with scikit-learn's LDA\n", | |
"from sklearn.discriminant_analysis import LinearDiscriminantAnalysis as SklearnLDA\n", | |
"\n", | |
"# Generate some sample data\n", | |
"rng = np.random.RandomState(42)\n", | |
"\n", | |
"# Instantiate and fit scikit-learn's LDA model\n", | |
"sklearn_lda = SklearnLDA(n_components=2, store_covariance=True)\n", | |
"X_lda_sklearn = sklearn_lda.fit_transform(X, y)" | |
], | |
"metadata": { | |
"id": "e7OH6t4Z3w5i" | |
}, | |
"execution_count": 14, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print('means: ', sklearn_lda.means_)\n", | |
"print('shared covariance: ', sklearn_lda.covariance_)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "7eGk3zvyT7M7", | |
"outputId": "83719b1c-5c75-48ba-e217-593f42d063d4" | |
}, | |
"execution_count": 15, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"means: [[-3.28294189 -4.09822609]\n", | |
" [ 4.94560614 3.07536632]\n", | |
" [-1.94563711 3.21775145]]\n", | |
"shared covariance: [[1.39293845 0.5435832 ]\n", | |
" [0.5435832 1.66441454]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"means = sklearn_lda.means_\n", | |
"covariance = sklearn_lda.covariance_\n", | |
"\n", | |
"if X.shape[1] != 2:\n", | |
" raise ValueError(\"Visualization is only supported for 2 features.\")\n", | |
"\n", | |
"x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", | |
"y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", | |
"xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", | |
" np.arange(y_min, y_max, 0.1))\n", | |
"\n", | |
"Z = sklearn_lda.predict(np.c_[xx.ravel(), yy.ravel()])\n", | |
"Z = Z.reshape(xx.shape)\n", | |
"\n", | |
"plt.contourf(xx, yy, Z, alpha=0.4)\n", | |
"plt.scatter(X[:, 0], X[:, 1], c=y, edgecolors='k')\n", | |
"\n", | |
"# Plot the Gaussian distributions for each class\n", | |
"for i, c in enumerate(sklearn_lda.classes_):\n", | |
" mean = means[i]\n", | |
"\n", | |
" # Generate points from the multivariate normal distribution\n", | |
" rv = multivariate_normal(mean, covariance)\n", | |
" x_grid, y_grid = np.mgrid[x_min:x_max:0.1, y_min:y_max:0.1]\n", | |
" pos = np.dstack((x_grid, y_grid))\n", | |
" pdf_values = rv.pdf(pos)\n", | |
"\n", | |
" plt.contour(x_grid, y_grid, pdf_values, levels=3, colors=f'C{i}', alpha=0.5)\n", | |
" plt.scatter(mean[0], mean[1], marker='x', color=f'C{i}', s=100)\n", | |
"\n", | |
"plt.title(\"Linear Discriminant Analysis Decision Boundary using scikit-learn\")\n", | |
"plt.xlabel(\"Feature 1\")\n", | |
"plt.ylabel(\"Feature 2\")\n", | |
"plt.show()" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 472 | |
}, | |
"id": "vq-Yaq2DUPs6", | |
"outputId": "1479e953-4481-4dc2-bedf-72802eddcac4" | |
}, | |
"execution_count": 16, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"# Quadratic Discriminant Analysis (QDA)" | |
], | |
"metadata": { | |
"id": "RFw_PfRiW3-q" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"import numpy as np\n", | |
"import matplotlib.pyplot as plt\n", | |
"from sklearn.datasets import load_iris\n", | |
"from sklearn.preprocessing import StandardScaler\n", | |
"from scipy.stats import multivariate_normal\n", | |
"\n", | |
"class QDA:\n", | |
" def __init__(self):\n", | |
" self.pi = None # Store the prior probabilities\n", | |
" self.means = None # Store the class means\n", | |
" self.covariances = None # Store the class covariance matrices\n", | |
" self.classes = None # Store unique class\n", | |
"\n", | |
" def fit(self, X, y):\n", | |
" n_samples, n_features = X.shape\n", | |
" self.classes = np.unique(y)\n", | |
" n_classes = len(self.classes)\n", | |
"\n", | |
" # Calculate MLEs for priors, means, and covariance matrices\n", | |
" self.pi = np.zeros(n_classes)\n", | |
" self.means = np.zeros((n_classes, n_features))\n", | |
" self.covariances = np.zeros((n_classes, n_features, n_features))\n", | |
"\n", | |
" for i, c in enumerate(self.classes):\n", | |
" X_c = X[y == c]\n", | |
" n_c = X_c.shape[0]\n", | |
"\n", | |
" # MLE for prior\n", | |
" self.pi[i] = n_c / n_samples\n", | |
"\n", | |
" # MLE for class mean\n", | |
" self.means[i, :] = np.mean(X_c, axis=0)\n", | |
"\n", | |
" # MLE for class covariance matrix\n", | |
" self.covariances[i, :, :] = np.cov(X_c, rowvar=False)\n", | |
"\n", | |
" def predict(self, X):\n", | |
" \"\"\"\n", | |
" Predict the class labels for the given data.\n", | |
" \"\"\"\n", | |
" if self.means is None or self.covariances is None or self.pi is None:\n", | |
" raise Exception(\"Fit the model before making predictions.\")\n", | |
"\n", | |
" n_samples = X.shape[0]\n", | |
" predictions = np.zeros(n_samples)\n", | |
"\n", | |
" for i in range(n_samples):\n", | |
" x = X[i]\n", | |
" posteriors = []\n", | |
"\n", | |
" for k, c in enumerate(self.classes):\n", | |
" # Calculate the discriminant function using the MLEs\n", | |
" prior = np.log(self.pi[k])\n", | |
"\n", | |
" # Use scipy.stats.multivariate_normal for likelihood\n", | |
" likelihood = multivariate_normal.logpdf(x, mean=self.means[k], cov=self.covariances[k])\n", | |
"\n", | |
" posterior = prior + likelihood\n", | |
" posteriors.append(posterior)\n", | |
"\n", | |
" predictions[i] = self.classes[np.argmax(posteriors)]\n", | |
"\n", | |
" return predictions\n", | |
"\n", | |
" def visualize(self, X, y, title=\"QDA Decision Boundary\"):\n", | |
" \"\"\"\n", | |
" Visualize the decision boundary and class distributions.\n", | |
" Parameters\n", | |
" ----------\n", | |
" X : array-like, shape (n_samples, n_features)\n", | |
" Training vectors, where n_samples is the number of samples\n", | |
" and n_features is the number of features. Only first two features are used.\n", | |
" y : array-like, shape (n_samples,)\n", | |
" Target values.\n", | |
" \"\"\"\n", | |
" if X.shape[1] != 2:\n", | |
" raise ValueError(\"Visualization is only supported for 2 features.\")\n", | |
"\n", | |
" x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", | |
" y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", | |
" xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", | |
" np.arange(y_min, y_max, 0.1))\n", | |
"\n", | |
" Z = self.predict(np.c_[xx.ravel(), yy.ravel()])\n", | |
" Z = Z.reshape(xx.shape)\n", | |
"\n", | |
" plt.contourf(xx, yy, Z, alpha=0.4)\n", | |
" plt.scatter(X[:, 0], X[:, 1], c=y, s=20, edgecolor='k')\n", | |
"\n", | |
" # Plot the Gaussian distributions for each class\n", | |
" for i, c in enumerate(self.classes):\n", | |
" mean = self.means[i]\n", | |
" cov = self.covariances[i]\n", | |
"\n", | |
" # Generate points from the multivariate normal distribution\n", | |
" rv = multivariate_normal(mean, cov)\n", | |
" x_grid, y_grid = np.mgrid[x_min:x_max:0.1, y_min:y_max:0.1]\n", | |
" pos = np.dstack((x_grid, y_grid))\n", | |
" pdf_values = rv.pdf(pos)\n", | |
"\n", | |
" plt.contour(x_grid, y_grid, pdf_values, levels=3, colors=f'C{i}', alpha=0.5)\n", | |
" plt.scatter(mean[0], mean[1], marker='x', color=f'C{i}', s=100)\n", | |
"\n", | |
" plt.title(title)\n", | |
" plt.xlabel(\"Feature 1\")\n", | |
" plt.ylabel(\"Feature 2\")\n", | |
" plt.show()\n" | |
], | |
"metadata": { | |
"id": "OJyrOh_yVUfy" | |
}, | |
"execution_count": 17, | |
"outputs": [] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Instantiate and fit the QDA model using MLE\n", | |
"qda_mle = QDA()\n", | |
"qda_mle.fit(X, y)\n", | |
"\n", | |
"# Make predictions\n", | |
"y_pred = qda_mle.predict(X)\n", | |
"\n", | |
"# Evaluate (e.g., using accuracy)\n", | |
"from sklearn.metrics import accuracy_score\n", | |
"print(f\"Accuracy: {accuracy_score(y, y_pred):.2f}\")" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "83Fo0F3NriK0", | |
"outputId": "6ee5a6f2-a78f-4c88-937b-d546e24ac18d" | |
}, | |
"execution_count": 18, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"Accuracy: 1.00\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print('means: ', qda_mle.means)\n", | |
"print('variance for class 1: ', qda_mle.covariances[0])\n", | |
"print('variance for class 2: ', qda_mle.covariances[1])\n", | |
"print('variance for class 3: ', qda_mle.covariances[2])" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "QPxe588spSt4", | |
"outputId": "7e4a32ff-4fda-40cd-af00-35dc0428974e" | |
}, | |
"execution_count": 19, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"means: [[-3.28294189 -4.09822609]\n", | |
" [ 4.94560614 3.07536632]\n", | |
" [-1.94563711 3.21775145]]\n", | |
"variance for class 1: [[2.28025362 0.82817323]\n", | |
" [0.82817323 1.0080239 ]]\n", | |
"variance for class 2: [[0.88680661 0.01934536]\n", | |
" [0.01934536 1.02199959]]\n", | |
"variance for class 3: [[1.05396539 0.79970324]\n", | |
" [0.79970324 3.01365694]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Visualize the decision boundary\n", | |
"qda_mle.visualize(X, y)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 472 | |
}, | |
"id": "wDc97Atjn8Ya", | |
"outputId": "157f3596-9f95-4680-c965-1ab38d8c059a" | |
}, | |
"execution_count": 20, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"data": { | |
"text/plain": [ | |
"<Figure size 640x480 with 1 Axes>" | |
], | |
"image/png": 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\n" | |
}, | |
"metadata": {} | |
} | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"source": [ | |
"## Verification using scikit-learn" | |
], | |
"metadata": { | |
"id": "tocmeGFprxRp" | |
} | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"# Comparison with scikit-learn's LDA\n", | |
"from sklearn.discriminant_analysis import QuadraticDiscriminantAnalysis as SklearnQDA\n", | |
"\n", | |
"# Generate some sample data\n", | |
"rng = np.random.RandomState(42)\n", | |
"\n", | |
"# Instantiate and fit scikit-learn's LDA model\n", | |
"sklearn_qda = SklearnQDA(store_covariance=True)\n", | |
"sklearn_qda.fit(X, y)" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/", | |
"height": 80 | |
}, | |
"id": "vlkTZ1RwW3Pj", | |
"outputId": "292a937b-5738-4b20-b1f1-5a9451c525a0" | |
}, | |
"execution_count": 21, | |
"outputs": [ | |
{ | |
"output_type": "execute_result", | |
"data": { | |
"text/plain": [ | |
"QuadraticDiscriminantAnalysis(store_covariance=True)" | |
], | |
"text/html": [ | |
"<style>#sk-container-id-2 {\n", | |
" /* Definition of color scheme common for light and dark mode */\n", | |
" --sklearn-color-text: #000;\n", | |
" --sklearn-color-text-muted: #666;\n", | |
" --sklearn-color-line: gray;\n", | |
" /* Definition of color scheme for unfitted estimators */\n", | |
" --sklearn-color-unfitted-level-0: #fff5e6;\n", | |
" --sklearn-color-unfitted-level-1: #f6e4d2;\n", | |
" --sklearn-color-unfitted-level-2: #ffe0b3;\n", | |
" --sklearn-color-unfitted-level-3: chocolate;\n", | |
" /* Definition of color scheme for fitted estimators */\n", | |
" --sklearn-color-fitted-level-0: #f0f8ff;\n", | |
" --sklearn-color-fitted-level-1: #d4ebff;\n", | |
" --sklearn-color-fitted-level-2: #b3dbfd;\n", | |
" --sklearn-color-fitted-level-3: cornflowerblue;\n", | |
"\n", | |
" /* Specific color for light theme */\n", | |
" --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n", | |
" --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n", | |
" --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n", | |
" --sklearn-color-icon: #696969;\n", | |
"\n", | |
" @media (prefers-color-scheme: dark) {\n", | |
" /* Redefinition of color scheme for dark theme */\n", | |
" --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n", | |
" --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n", | |
" --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n", | |
" --sklearn-color-icon: #878787;\n", | |
" }\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 {\n", | |
" color: var(--sklearn-color-text);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 pre {\n", | |
" padding: 0;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 input.sk-hidden--visually {\n", | |
" border: 0;\n", | |
" clip: rect(1px 1px 1px 1px);\n", | |
" clip: rect(1px, 1px, 1px, 1px);\n", | |
" height: 1px;\n", | |
" margin: -1px;\n", | |
" overflow: hidden;\n", | |
" padding: 0;\n", | |
" position: absolute;\n", | |
" width: 1px;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-dashed-wrapped {\n", | |
" border: 1px dashed var(--sklearn-color-line);\n", | |
" margin: 0 0.4em 0.5em 0.4em;\n", | |
" box-sizing: border-box;\n", | |
" padding-bottom: 0.4em;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-container {\n", | |
" /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n", | |
" but bootstrap.min.css set `[hidden] { display: none !important; }`\n", | |
" so we also need the `!important` here to be able to override the\n", | |
" default hidden behavior on the sphinx rendered scikit-learn.org.\n", | |
" See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n", | |
" display: inline-block !important;\n", | |
" position: relative;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-text-repr-fallback {\n", | |
" display: none;\n", | |
"}\n", | |
"\n", | |
"div.sk-parallel-item,\n", | |
"div.sk-serial,\n", | |
"div.sk-item {\n", | |
" /* draw centered vertical line to link estimators */\n", | |
" background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n", | |
" background-size: 2px 100%;\n", | |
" background-repeat: no-repeat;\n", | |
" background-position: center center;\n", | |
"}\n", | |
"\n", | |
"/* Parallel-specific style estimator block */\n", | |
"\n", | |
"#sk-container-id-2 div.sk-parallel-item::after {\n", | |
" content: \"\";\n", | |
" width: 100%;\n", | |
" border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n", | |
" flex-grow: 1;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-parallel {\n", | |
" display: flex;\n", | |
" align-items: stretch;\n", | |
" justify-content: center;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" position: relative;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-parallel-item {\n", | |
" display: flex;\n", | |
" flex-direction: column;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-parallel-item:first-child::after {\n", | |
" align-self: flex-end;\n", | |
" width: 50%;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-parallel-item:last-child::after {\n", | |
" align-self: flex-start;\n", | |
" width: 50%;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-parallel-item:only-child::after {\n", | |
" width: 0;\n", | |
"}\n", | |
"\n", | |
"/* Serial-specific style estimator block */\n", | |
"\n", | |
"#sk-container-id-2 div.sk-serial {\n", | |
" display: flex;\n", | |
" flex-direction: column;\n", | |
" align-items: center;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" padding-right: 1em;\n", | |
" padding-left: 1em;\n", | |
"}\n", | |
"\n", | |
"\n", | |
"/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n", | |
"clickable and can be expanded/collapsed.\n", | |
"- Pipeline and ColumnTransformer use this feature and define the default style\n", | |
"- Estimators will overwrite some part of the style using the `sk-estimator` class\n", | |
"*/\n", | |
"\n", | |
"/* Pipeline and ColumnTransformer style (default) */\n", | |
"\n", | |
"#sk-container-id-2 div.sk-toggleable {\n", | |
" /* Default theme specific background. It is overwritten whether we have a\n", | |
" specific estimator or a Pipeline/ColumnTransformer */\n", | |
" background-color: var(--sklearn-color-background);\n", | |
"}\n", | |
"\n", | |
"/* Toggleable label */\n", | |
"#sk-container-id-2 label.sk-toggleable__label {\n", | |
" cursor: pointer;\n", | |
" display: flex;\n", | |
" width: 100%;\n", | |
" margin-bottom: 0;\n", | |
" padding: 0.5em;\n", | |
" box-sizing: border-box;\n", | |
" text-align: center;\n", | |
" align-items: start;\n", | |
" justify-content: space-between;\n", | |
" gap: 0.5em;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 label.sk-toggleable__label .caption {\n", | |
" font-size: 0.6rem;\n", | |
" font-weight: lighter;\n", | |
" color: var(--sklearn-color-text-muted);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 label.sk-toggleable__label-arrow:before {\n", | |
" /* Arrow on the left of the label */\n", | |
" content: \"▸\";\n", | |
" float: left;\n", | |
" margin-right: 0.25em;\n", | |
" color: var(--sklearn-color-icon);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {\n", | |
" color: var(--sklearn-color-text);\n", | |
"}\n", | |
"\n", | |
"/* Toggleable content - dropdown */\n", | |
"\n", | |
"#sk-container-id-2 div.sk-toggleable__content {\n", | |
" max-height: 0;\n", | |
" max-width: 0;\n", | |
" overflow: hidden;\n", | |
" text-align: left;\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-toggleable__content.fitted {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-toggleable__content pre {\n", | |
" margin: 0.2em;\n", | |
" border-radius: 0.25em;\n", | |
" color: var(--sklearn-color-text);\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-toggleable__content.fitted pre {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n", | |
" /* Expand drop-down */\n", | |
" max-height: 200px;\n", | |
" max-width: 100%;\n", | |
" overflow: auto;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n", | |
" content: \"▾\";\n", | |
"}\n", | |
"\n", | |
"/* Pipeline/ColumnTransformer-specific style */\n", | |
"\n", | |
"#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" color: var(--sklearn-color-text);\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Estimator-specific style */\n", | |
"\n", | |
"/* Colorize estimator box */\n", | |
"#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-label label.sk-toggleable__label,\n", | |
"#sk-container-id-2 div.sk-label label {\n", | |
" /* The background is the default theme color */\n", | |
" color: var(--sklearn-color-text-on-default-background);\n", | |
"}\n", | |
"\n", | |
"/* On hover, darken the color of the background */\n", | |
"#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {\n", | |
" color: var(--sklearn-color-text);\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Label box, darken color on hover, fitted */\n", | |
"#sk-container-id-2 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n", | |
" color: var(--sklearn-color-text);\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Estimator label */\n", | |
"\n", | |
"#sk-container-id-2 div.sk-label label {\n", | |
" font-family: monospace;\n", | |
" font-weight: bold;\n", | |
" display: inline-block;\n", | |
" line-height: 1.2em;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-label-container {\n", | |
" text-align: center;\n", | |
"}\n", | |
"\n", | |
"/* Estimator-specific */\n", | |
"#sk-container-id-2 div.sk-estimator {\n", | |
" font-family: monospace;\n", | |
" border: 1px dotted var(--sklearn-color-border-box);\n", | |
" border-radius: 0.25em;\n", | |
" box-sizing: border-box;\n", | |
" margin-bottom: 0.5em;\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-0);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-estimator.fitted {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-0);\n", | |
"}\n", | |
"\n", | |
"/* on hover */\n", | |
"#sk-container-id-2 div.sk-estimator:hover {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-2);\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 div.sk-estimator.fitted:hover {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-2);\n", | |
"}\n", | |
"\n", | |
"/* Specification for estimator info (e.g. \"i\" and \"?\") */\n", | |
"\n", | |
"/* Common style for \"i\" and \"?\" */\n", | |
"\n", | |
".sk-estimator-doc-link,\n", | |
"a:link.sk-estimator-doc-link,\n", | |
"a:visited.sk-estimator-doc-link {\n", | |
" float: right;\n", | |
" font-size: smaller;\n", | |
" line-height: 1em;\n", | |
" font-family: monospace;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" border-radius: 1em;\n", | |
" height: 1em;\n", | |
" width: 1em;\n", | |
" text-decoration: none !important;\n", | |
" margin-left: 0.5em;\n", | |
" text-align: center;\n", | |
" /* unfitted */\n", | |
" border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n", | |
" color: var(--sklearn-color-unfitted-level-1);\n", | |
"}\n", | |
"\n", | |
".sk-estimator-doc-link.fitted,\n", | |
"a:link.sk-estimator-doc-link.fitted,\n", | |
"a:visited.sk-estimator-doc-link.fitted {\n", | |
" /* fitted */\n", | |
" border: var(--sklearn-color-fitted-level-1) 1pt solid;\n", | |
" color: var(--sklearn-color-fitted-level-1);\n", | |
"}\n", | |
"\n", | |
"/* On hover */\n", | |
"div.sk-estimator:hover .sk-estimator-doc-link:hover,\n", | |
".sk-estimator-doc-link:hover,\n", | |
"div.sk-label-container:hover .sk-estimator-doc-link:hover,\n", | |
".sk-estimator-doc-link:hover {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-3);\n", | |
" color: var(--sklearn-color-background);\n", | |
" text-decoration: none;\n", | |
"}\n", | |
"\n", | |
"div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n", | |
".sk-estimator-doc-link.fitted:hover,\n", | |
"div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n", | |
".sk-estimator-doc-link.fitted:hover {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-3);\n", | |
" color: var(--sklearn-color-background);\n", | |
" text-decoration: none;\n", | |
"}\n", | |
"\n", | |
"/* Span, style for the box shown on hovering the info icon */\n", | |
".sk-estimator-doc-link span {\n", | |
" display: none;\n", | |
" z-index: 9999;\n", | |
" position: relative;\n", | |
" font-weight: normal;\n", | |
" right: .2ex;\n", | |
" padding: .5ex;\n", | |
" margin: .5ex;\n", | |
" width: min-content;\n", | |
" min-width: 20ex;\n", | |
" max-width: 50ex;\n", | |
" color: var(--sklearn-color-text);\n", | |
" box-shadow: 2pt 2pt 4pt #999;\n", | |
" /* unfitted */\n", | |
" background: var(--sklearn-color-unfitted-level-0);\n", | |
" border: .5pt solid var(--sklearn-color-unfitted-level-3);\n", | |
"}\n", | |
"\n", | |
".sk-estimator-doc-link.fitted span {\n", | |
" /* fitted */\n", | |
" background: var(--sklearn-color-fitted-level-0);\n", | |
" border: var(--sklearn-color-fitted-level-3);\n", | |
"}\n", | |
"\n", | |
".sk-estimator-doc-link:hover span {\n", | |
" display: block;\n", | |
"}\n", | |
"\n", | |
"/* \"?\"-specific style due to the `<a>` HTML tag */\n", | |
"\n", | |
"#sk-container-id-2 a.estimator_doc_link {\n", | |
" float: right;\n", | |
" font-size: 1rem;\n", | |
" line-height: 1em;\n", | |
" font-family: monospace;\n", | |
" background-color: var(--sklearn-color-background);\n", | |
" border-radius: 1rem;\n", | |
" height: 1rem;\n", | |
" width: 1rem;\n", | |
" text-decoration: none;\n", | |
" /* unfitted */\n", | |
" color: var(--sklearn-color-unfitted-level-1);\n", | |
" border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 a.estimator_doc_link.fitted {\n", | |
" /* fitted */\n", | |
" border: var(--sklearn-color-fitted-level-1) 1pt solid;\n", | |
" color: var(--sklearn-color-fitted-level-1);\n", | |
"}\n", | |
"\n", | |
"/* On hover */\n", | |
"#sk-container-id-2 a.estimator_doc_link:hover {\n", | |
" /* unfitted */\n", | |
" background-color: var(--sklearn-color-unfitted-level-3);\n", | |
" color: var(--sklearn-color-background);\n", | |
" text-decoration: none;\n", | |
"}\n", | |
"\n", | |
"#sk-container-id-2 a.estimator_doc_link.fitted:hover {\n", | |
" /* fitted */\n", | |
" background-color: var(--sklearn-color-fitted-level-3);\n", | |
"}\n", | |
"</style><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>QuadraticDiscriminantAnalysis(store_covariance=True)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow\"><div><div>QuadraticDiscriminantAnalysis</div></div><div><a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.6/modules/generated/sklearn.discriminant_analysis.QuadraticDiscriminantAnalysis.html\">?<span>Documentation for QuadraticDiscriminantAnalysis</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></div></label><div class=\"sk-toggleable__content fitted\"><pre>QuadraticDiscriminantAnalysis(store_covariance=True)</pre></div> </div></div></div></div>" | |
] | |
}, | |
"metadata": {}, | |
"execution_count": 21 | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"print('means: ', sklearn_qda.means_)\n", | |
"print('variance for class 1: ', sklearn_qda.covariance_[0])\n", | |
"print('variance for class 2: ', sklearn_qda.covariance_[1])\n", | |
"print('variance for class 3: ', sklearn_qda.covariance_[2])" | |
], | |
"metadata": { | |
"colab": { | |
"base_uri": "https://localhost:8080/" | |
}, | |
"id": "WKp0SE0QW3Rk", | |
"outputId": "d90b25ac-d818-4601-8f03-daa3d15c9846" | |
}, | |
"execution_count": 22, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"name": "stdout", | |
"text": [ | |
"means: [[-3.28294189 -4.09822609]\n", | |
" [ 4.94560614 3.07536632]\n", | |
" [-1.94563711 3.21775145]]\n", | |
"variance for class 1: [[2.28025362 0.82817323]\n", | |
" [0.82817323 1.0080239 ]]\n", | |
"variance for class 2: [[0.88680661 0.01934536]\n", | |
" [0.01934536 1.02199959]]\n", | |
"variance for class 3: [[1.05396539 0.79970324]\n", | |
" [0.79970324 3.01365694]]\n" | |
] | |
} | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"source": [ | |
"x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", | |
"y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", | |
"xx, yy = np.meshgrid(np.arange(x_min, x_max, 0.1),\n", | |
" np.arange(y_min, y_max, 0.1))\n", | |
"\n", | |
"Z = sklearn_qda.predict(np.c_[xx.ravel(), yy.ravel()])\n", | |
"Z = Z.reshape(xx.shape)\n", | |
"\n", | |
"plt.contourf(xx, yy, Z, alpha=0.4)\n", | |
"plt.scatter(X[:, 0], X[:, 1], c=y, s=20, edgecolor='k')\n", | |
"\n", |
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