Graph Partitioning.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import Library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 776,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import plotly.express as px\n",
    "import networkx as nx\n",
    "from tqdm import tqdm\n",
    "from copy import deepcopy\n",
    "import pandas as pd\n",
    "from desdeo_mcdm.interactive.NautilusNavigator import NautilusNavigator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 777,
   "metadata": {},
   "outputs": [],
   "source": [
    "from graph import Graph, Point\n",
    "from optimization import generate_rand_points, crossover, dominates, non_dominated_sort, crowding_distance, random_connected_partitions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generate Random Points and Graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 778,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YY8eORb169bBr1y6kpqYWai2KxsXFBQ8fPsSOHTugrKwsuT0uLg7379+n7m4FY2RkhPj4eERGRgIAHoRHY9GJn2MqOWHWiVMZYgYGYOHxQGqpzCMKlIQQosAmTJgAdXV1rF+/npfrN27cGEeOHMGTJ0/QvHlzWFtbQ19fHzt27CiRwTIyMhLz58/HxIkT0bp16yz33bx5ExkZGRQoFYyRkRGAf2d67/J7A4GAy+khEAg47PILk3ttxQkFSkIIUWCampqws7PD9u3b8e3bN97qaNSoEQ4dOoRnz56hVatWmDBhAurWrQs3NzekpKTwVldhYoxh4sSJKFu27G8Xnr9y5QqqV6+OunXr8lAd+ZPq1aujTJkyePbsGZLTMnAp+DMyxDnvFpUhZrgY/Ikm6uQBBUpCCFFw9vb2AABnZ2eeKwEaNmyIf/75B4GBgWjfvj0mT56MunXrwtXVFcnJyXyXJ1c+Pj44c+YMXFxcoKmpme3+zPGTmTO+iWLgOA6GhoZ49uwZ4pLTkUuWlBAzIC6ZJqRJiwIlIYQouIoVK8La2hrOzs6Ii4vjuxwAgIGBAby9vREcHIy//voL9vb2qFOnDpydnZGUlMR3eTL3/ft32NnZYcCAATAzM8t2/7dv3/D48WPq7lZQRkZGCAwMhIaqEnLp7ZYQcICGKi1OLy0KlIQQUgTMmDEDCQkJ2LZtG9+lZFGvXj14enoiJCQEXbt2xfTp01G7dm1s2rQJiYmJfJcnM7Nnz0ZSUtIfW4mvX78Oxhg6depUyJURaRgZGeH58+cQsAx0NdCCMJdUKRRw6GagDVWRsJAqLPooUBJCSBFQvXp1jB49Ghs2bFDIrmV9fX3s2bMHz58/R8+ePeHg4IDatWtj/fr1SEhI4Lu8Arlx4wZ27tyJVatWoVq1ar895sqVK6hbty5q1qxZyNURaRgZGSE9PR0vXryAVbvauY6hFIsZrNrpFlJ1xQMFSkIIKSJmzZqFL1++YM+ePXyX8kd169aFh4cHXr58ib59+2LOnDnQ1dXFmjVrEB8fz3d5eZaSkgJra2u0adMGNjY2fzzu8uXL1N2twDIXmg8MDET9CiKInhwBGMvWUikUcOAALDMzRHOd8jxUWnRRoCSEkCJCT08PgwYNwurVqxV+95ratWtj586dePXqFQYMGIAFCxZAV1cXq1atUphxoNJwcnLCmzdvsGPHjt8uVp6cloHA1xF48foNunTpwkOFRBrlypVDtWrV8PTpU4wdOxaf/Xywvlc1dG2ghcxIyQHo2kALh21aw8KkFp/lFkkcYyzX+U6xsbEoU6YMYmJifjuzjRBCSOF48uQJGjduDE9PT1hYWPBdjtQiIyOxatUquLu7o3Tp0pg+fTrs7OwU+jMlODgYjRs3xpw5c7B06dIs9z0Ij8Yuvze4FPwZYgYwsRid9MpjsmkDatlSUD179kRERARCQkJw5MgRDBgwAAAQ8OQZWrTpgMvnT+Ov9m15rlKx5CX/UQslIYQUIcbGxujduzdWrVqVZSs5RVezZk1s3boVoaGhGD58OJYtWwYdHR0sW7YMMTExfJeXjVgshrW1NXR1dTFv3rws93nejcDg7XfgG/JFsgQNJxDgZlgMbdunwDQ1NRESEoLZs2dLwiQAaKqXgjjxB1h6yVuoX5YoUBJCSBEzd+5cBAUF4dSpU3yXkmfVq1fHli1bEBoaipEjR2LlypWoVasWFi9ejB8/fvBdnsTOnTtx69Yt7NixA6qqqpLbM7ftY0C2iR20bZ/ievv2Lc6dOwfg51jkX6moqABAiVmgX14oUBKCn+OgouJSaFcEUiS0bdsWHTp0wMqVKyHFqCWFVK1aNWzevBlv3rzB2LFjsWbNGtSqVQuLFi1CdDS/YezDhw+YNWsWxo0bh44dO2a5j7btK3qSk5Nhbm4OdXV1AMCLFy+y3J+5H3tJ3EpUlihQkhLtQXg0bLwewsDxPFqs9IWB43nYeD2k1gWi8ObNm4f79+/jypUrfJdSIFWqVMGGDRvw5s0bjB8/HuvWrYOOjg7mz5/P21aTU6ZMQalSpbB27dost9O2fUWTvb09nj59Ch8fHwiFQsme3pmohVI2KFCSEut346DEDPAN+ULjoIjC69atG5o2bQonJye+S5EJbW1trFu3DuHh4bC1tcXmzZuho6ODOXPmICoqqtDqOHnyJHx8fLB582aUK1cuy320bV/Rs2vXLuzcuRNbt25F27ZtoaenR4FSTihQkhKJxkGRoo7jOMydOxeXL1/GvXv3+C5HZipXrozVq1cjPDwckydPhqurK3R1dSVrcMpTbGwsJk6ciF69emHw4MHZ7qdt+4qWBw8eYNKkSbC2tsbYsWMB/FyPMjAwMMtxFChlgwIlKZFoHBQpDvr374969eoVm1bKX1WsWBFOTk4IDw/H1KlTsW3bNujo6GDGjBn49OmTXK65YMEC/PjxA1u3bgXHZX9/OHvqBFLfPATLyLnlkbbt419UVBTMzc3RuHHjLNtlGhkZ4dmzZ1nGHgsEAigpKVGgLCAKlKTEoXFQpLgQCoWYM2cOTpw4ka3VpbioUKECli9fjvDwcDg4OGDXrl3Q1dXFtGnT8PHjR5ld5969e3BxccHy5ctRq1bWRa3fv3+P/v37w9zcHN/vHgEnyDko0rZ9/EpPT8ewYcOQnJwMHx8fSQsk8DNQfvv2LduXEhUVFQqUBUSBkpQ4NA6KFCcjRoxAzZo1sXr1ar5Lkavy5ctj6dKliIiIwJw5c7Bnzx7o6urC3t4e79+/L9C509LSMH78eDRr1gx2dnaS28ViMbZv3w4DAwNcuXIFAoEAbfS0ML97HXAAbdunoObPn4+rV6/i4MGDqFGjRpb7jIyMACDbFzBlZWUKlAVEgZKUODQOihQnIpEIDg4OOHDgAN68ecN3OXJXtmxZODo6Ijw8HPPnz4eXlxdq166NyZMn4+3bt/k657p16xAcHIwdO3ZAKPzZ+vjixQv89ddfmDBhAmrWrInY2FjY2Njg7NmzGN+pAQ7btEbXBlqS9xIBR9v2KYIjR45gzZo1WL16NTp16pTtfl1dXZQqVeq3E3No2aCCoUBJShxVkRBdDbSytS78FxOnIyM8ANcuXyqkygjJn3HjxqF8+fLZlrkpzsqUKYOFCxciPDwcjo6OOHDgAOrWrQtbW1tERkbm+Nhf15199eoVlixZgunTp6NJkyZITU3FihUrYGxsjHfv3qFVq1YIDg6Gs7MzXF1dIRKJAADNdcpjm0UzBC/pgQfzTBG8pAe2WTSjlkkehYSEYMyYMRg0aBBmzJjx22OEQiEaNmz420BJLZQFQ4GSlEhW7WpDnEu/NydQQs2k1+jZsycsLS3x/fv3QqqOkLxRU1PDtGnT4OHhIdNxhUWBpqYm5s2bh/DwcCxduhQ+Pj6oW7cubGxsEB4enuXY3607a7buDKo0aovFixfj/v37aN68ORwdHTF27Fioq6sjKCgIp0+fhp2d3W8n6qiKhKikoUITcHgWGxuL/v37o2bNmvDw8Pjt/6tMmRNzfkWBsuAoUJISqYVOeSwzM/z9OCgOYIzBIOEJbhzdg507d+Lo0aNo2LBhkdzqjpQMEydOhKqqKjZu3Mh3KbzQ0NDA7NmzERYWhhUrVuDYsWPQ09ODlZUV3rx588d1Z+PL6IJ1mYbhi7aiVatWEIlE2L17N44ePYq4uDjcvn0bPXv25PfJkRwxxmBpaYkPHz7g6NGjKF26dI7HGxkZITg4GBkZ/064pEBZcBQoSYllYVLr9+OgDLQxUvsLzm2Zj0uXLsHKygpBQUFo3Lgx+vXrBwsLC9528CDkT8qUKYNJkybBzc2N960L+VS6dGnMnDkTYWFhWL16NU6fPg3DTn9j4fFnv113lhMqAeDwSKk+pq3YAgcHB1hbW6N27dq4f/8+DA0NeXkeRHpr1qzB0aNHsW/fPtSrVy/X4w0NDZGUlJRlzDEFyoLjmBQbwcbGxqJMmTKIiYmBpqZmYdRFSKFKTstAXHI6NFSVoCoSgjGGbt264fnz53j27BnKli0Lxhj27duHqVOnQkVFBW5ubujfvz/fpRMi8eXLF9SqVQtz587FokWL+C5HISQmJqLvmpN4naSW43I/Qg6owX3H9ZUjMXz4cLi7u0NVVbUQKyX54evri+7du2POnDlYsWKFVI/59OkTqlSpgiNHjmDAgAEAgLZt26Ju3brYu3evPMstcvKS/6iFkhBkHwfFcRzc3d0RExOD6dOnS24bPXo0goKCYGJiggEDBmDIkCGFui0cITmpXLkyxo8fj82bNyM+Pp7vchSCQKSCsFSNXNeOzGBAWHoZLFy8FF5eXhQmi4CIiAgMHToUpqamWLp0qdSP09LSQsWKFbOMo6RZ3gVHgZKQP6hZsyY2btyI3bt34/Tp05Lbq1atiuPHj8Pb2xu+vr4wMDDAwYMHIUVjPyFy5+DggNjYWOzcuZPvUhRCXtad5QQC2E2fleOEDqIYkpOTYW5ujtKlS2P//v2S5Z6kwXFcti0Yqcu74ChQEpKDsWPHomfPnrC2ts4yLo3jOAwfPhzBwcHo2LEjhg4dioEDB+Lz5888VkvIzy9CFhYWWLduHX1AAlBXFoCDdImS1p0tGhhjmDRpEoKCgnD06FFUqFAhz+f470xvCpQFR4GSkBxwHIedO3ciMTER9vb22e7X0tKCj48PDh06hJs3b8LAwADe3t7UWkl4NXv2bHz8+BH79u3juxTeMMZw7NgxmDRvivgXdwBxzluo0v7bRcfOnTvh4eEBNzc3NG3aNF/nMDIywqtXr5CUlASAAqUsUKAkJBfVqlWDs7MzvL29cezYsd8eM2jQIAQFBaFbt26wsLDA33//jQ8fPhRypYT8VL9+fZibm2P16tVITy9ZW4cyxnD27Fk0b94cAwYMgLa2NtpVTAHjcv64o/23i4Z79+7Bzs4Otra2GDNmTL7PY2RkBLFYjJCQEAAUKGWBAiUhUhg5ciT69euHCRMm4OvXr789plKlSjhw4ACOHTuG+/fvo2HDhtizZw+1VhJezJ07F6GhofDx8eG7lELBGMPly5fRpk0b9O7dG+rq6rhy5QoaNGiA4zvXo6PaB3AAOCbO8jjaf7vo+PLlC8zNzdG0aVNs2rSpQOdq2LAhgH/39KZAWXAUKAmRAsdx2L59O9LT0zFp0qQcjzUzM0NwcDD69u0LS0tL9O7dO997DBOSX02bNkX37t2xcuXKYv+lxs/PD507d4apqSnEYjEuXLiAy5cvY+/evXBxcYGbmxuc7Qej+ovDSHx5VzKmkvbfLjrS09MxZMgQpKWlwcfHB8rKygU6n4aGBnR0dCTjKJWVlWmWd0ExKcTExDAALCYmRprDCSm2Dhw4wACwgwcPSnX8qVOnWNWqVZmGhgbbsWMHE4vFcq6QkH9dv36dAWCnTp3iuxS5uH//PuvevTsDwIyNjdnJkyeZWCxmycnJbMCAAUwoFDJvb28WGhrKGjRowMqWLct8fX1ZUmo6+xKbzJJS0/l+CkRKDg4OTCgUsmvXrsnsnH379mXdu3dnjDE2bdo0Vr9+fZmdu7jIS/6jFkpC8mDIkCEwNzfHxIkTpZrR3adPHwQFBWHQoEGwtrZGt27dsu0vTIi8tG/fHm3bti12rZRPnjzB33//jZYtWyIyMhKHDx9GQEAA+vbt+3Mh8759cebMGRw7dgw1a9ZEy5YtkZaWhrt376JLly60/3YRc+jQIaxbtw5r165Fx44dZXZeIyMj6vKWIQqUhOQBx3Fwc3ODQCCAra2tVB/SZcuWhbu7O86fP48XL17A0NAQW7duhVgszvWxhBQEx3GYO3cu7ty5gxs3bvBdToGFhIRgyJAhaNy4MYKCguDl5YVnz55h4MCBEAgE+PHjB7p164bbt2/j7Nmz+P79O7p06QJDQ0PcvXtXqm35iGIJCgrC2LFjMWTIEEydOlWm5zY0NMT79+/x/ft3CpQyQIGSkDyqVKkS3NzccOzYMezfv1/qx3Xv3h2BgYGwsLDApEmT0KVLF4SGhsqxUkKAXr16oVGjRli5ciXfpeRbaGgoRo0aJQmGu3btQkhICEaMGCFZ0PrLly/o1KkTQkJCcOnSJVy+fBmjR4/GiBEjcPHixXytVUj4FRMTgwEDBkBXVxfu7u4yX3DeyMgIAPDs2TMKlDJAgZKQfDA3N8ewYcNgZ2eXp+WBNDU1sW3bNvj6+iI8PByNGjXC5s2bqbWSyA3HcZg3bx4uXryIhw8f8l1OnkRGRmL8+PGoV68efH19sWXLFrx8+RLjxo2DSCSSHPf27Vu0b98enz59wvnz57F+/Xo4OTlh9erVcHd3L/AEDlL4xGIxRo8ejU+fPuHo0aNQV1eX+TXq1asHkUhEgVJGKFASkk9btmyBiooKrK2t8zw+rUuXLnj27BnGjh2LqVOnokOHDnj58qWcKiUl3cCBA1G3bl04OTnxXYpUPn78CDs7O+jp6eHEiRNYu3YtQkNDMXHiRKioqGQ59tWrV2jXrh1SUlLg4+ODSZMm4dy5czh69ChmzaJtFIuqVatW4cSJE/Dy8oKenp5criESiVC/fn0EBgbSLG8ZoEBJSD5VqFAB27dvx5kzZ7B37948P7506dLYsmULrl+/jk+fPsHY2Bjr1q1DRkbOO3oQkldCoRCzZ8/GsWPHJAs5K6KoqCg4ODigdu3a8Pb2xuLFi/HmzRtMmzYNpUqVynb806dP0b59e6ipqWHbtm0YMmQIPn78CD8/P5iZmRX+EyAycfHiRSxYsAALFy5E37595XotQ0NDSQtlampqsZq8VuhkPW2ckJJm1KhRTFNTk0VGRub7HAkJCWzatGmM4zhmYmLCgoKCZFghIYwlJyezatWqsdGjR/NdSjbR0dFs3rx5TF1dnWloaDBHR0f248ePHB9z584dVrZsWdakSRO2d+9epqamxpo1a8bev39fSFUTeQgLC2Ply5dnPXr0YOnp8l/WaeXKlaxMmTJsz549DABLTk6W+zWLElo2iJBCtHnzZpQuXRpWVlb5/narpqaGDRs2wM/PDz9+/ECTJk3g5ORU4rbNI/KjoqICBwcHeHt7IyIigu9yAACxsbFYunQpdHV1sWnTJtjZ2SEsLAyLFy9GmTJl/vg4X19fmJqawtDQEGZmZhgzZgx69OiBGzduoGrVqoX4DIgsJSUlYcCAAShTpgy8vb0lE67kycjICDExMYiPjwcAGkdZABQoCSmgzGWBLl68iJ07dxboXG3atMGjR48wdepULFiwAK1atZLs5EBIQY0fPx5lypTBunXreK0jISEBa9asga6uLlauXAlLS0u8efMGTk5Ouc7GPnHiBHr37o02bdqgdu3acHR0xJw5c3D48GGoqakV0jMgssYYg62tLUJCQnD06FGUL18422BmzvT+9OkTAAqUBSLrJk9CSiorKytWunRpFhYWJpPz3bt3jxkYGDCRSMSWLFnCUlNTZXJeUrItXbqUqaqqsk+fPhX6tZOSktimTZtY5cqVmUgkYra2tuzdu3dSP97T05MJhULWr18/1r59eyYSidjevXvlWDEpLFu3bmUA2L59+wr1umKxmGloaDBLS0sGgL19+7ZQr6/o8pL/KFASIiMxMTGsRo0arFOnTiwjI0Mm50xOTmbz589nQqGQGRsbs4CAAJmcl5Rc0dHRrHTp0mzOnDmFds2UlBTm5ubGqlWrxoRCIbO0tGRv3rzJ0zlcXV0ZADZgwABWp04dVqFCBXbjxg05VUwK0+3bt5lIJGKTJk3i5fqtW7dmXbp0YQDY69evealBUdEYSkJ4oKmpCQ8PD1y9ehVubm4yOaeKigqWL1+O+/fvgzGGli1bYuHChdQtQ/KtXLlymDhxIlxdXfHjxw+5Xis9PR179uxBvXr1MHHiRHTs2BHBwcHw8PCArq6u1OdxcnLCpEmTYG5ujsuXL0MkEuHevXto3769HKsnheHz588YOHAgWrRogQ0bNvBSg5GRkWRLXFo6qABknVAJKelsbW2ZmpqazL/ppqSksMWLFzMlJSXWsGFDdv/+fZmen5QcHz9+ZCoqKmzFihVyOX9GRgbbv38/09fXZwCYubk5CwwMzPN5xGIxmz17NgPA+vTpw4RCIevatSv7/v277IsmhS41NZV16NCBaWtr8zo7f8uWLUxJSYkBYI8ePeKtDkVELZSE8GjNmjXQ0tKCpaWlTHfAUVZWhqOjIx4+fAhlZWW0atUKc+bMQXJyssyuQUoGbW1tjB07Fhs3bkRiYqLMzssYw9GjR9GoUSMMHz4c+vr6CAgIgI+PDxo2bJinc4nFYkycOBGrV69Gx44dcfr0aVhbW+PMmTMoW7aszGom/Jk9ezZu376NQ4cO8To739DQULKiBvX+FICsEyohhLFr164xAGzjxo1yOX9qaipbvnw5U1ZWZvXr12e3b9+Wy3VI8fXmzRsmFArZ5s2bC3wusVjMzpw5w5o2bcoAMFNTU3bnzp18ny81NZUNHz6cCQQC1qhRIyYQCJizszMTi8UFrpUohgMHDjAAMnn9FdTXr18ZAAaAXb9+ne9yFApNyiFEAdjb2zNVVVX2/PlzuV0jMDCQtWjRgnEcx6ZPn84SEhLkdi1S/IwcOZJVr16dpaSk5OvxYrGY+fr6slatWjEArH379uzatWsFqikpKYn17duXiUQiVrNmTaahocHOnj1boHMSxfL06VOmpqbGhg8frjBfEipVqsQ4JWXmc/oCS0qV/4LqRUVe8h/HWO4rMcfGxqJMmTKIiYmBpqam/JpLCSlGEhMTYWxsjIoVK8LPz09ui/Smp6dj48aNWLhwIWrUqAEPDw+arECkEhQUBENDQ3h4eMDS0jJPj/Xz88PChQtx7do1tGzZEsuWLUPXrl0LtHd2XFwc/v77b9y+fRulSpVCmTJlcPr0aRgaGub7nESx/PjxAy1atECpUqVw584dqKur810SHoRHY9TKvUgsVxecQAABB3Q10ML4drXRXKdw1sNUVHnJfzSGkhA5UVNTw549e3Dv3j2sX79ebtdRUlLCzJkz8fjxY1SqVAkdO3aEvb09EhIS5HZNUjw0bNgQZmZmWLVqFTIyMpCcloGouBQkp/15P/kHDx6gR48eaN++Pb5//46TJ0/i7t276NatW4HCZHR0NExNTXH37l0wxlC/fn3cu3ePwmQR9+trSiwWY9SoUfj69SuOHTumEGHS824EBm+/g+TyP8MkAIgZ4BvyBYO234HXPcXYVaoooBZKQuRs5syZcHZ2xqNHj2BgYCDXa2VkZMDZ2Rnz58+HtrY23N3d0alTJ7lekxRt9+/fRwdzS5hOXongGCWIGX7bQvPkyRMsWrQIJ0+eRIMGDbB06VIMGDAAAkHB2yU+fvyIbt264c2bN0hMTMSwYcPg4eEBVVXVAp+b8ONBeDR2+b3BpeDPktdUDe477u1diSPb16J37958l4gH4dEYvP0OcgpBHIDDNq1LbEsltVASokCWLl2K2rVrY/To0XLfm1soFGLatGl4+vQpatSogc6dO8PW1hZxcXFyvS4pul6ItaA9YjUCozmI///J+msLzbrj9zB48GA0btwYQUFB8PT0xLNnzzBw4ECZhMnw8HC0a9cOoaGhSExMxJIlS+Dt7U1hsgjLbPXzDfmS5TUVnqYB7ZFr8L2iYrQ67/J7A4Eg51Z1gYDDLr+wQqqoaKMWSkIKwf3799G6dWssXboU8+fPL5RrisVibN26FXPmzEGFChWwa9cudO3atVCuTYoGaVpoGGPApfVYNNECo0aNgkgkktn1Q0JC0KVLF0RHR4Mxhn379mHIkCEyOz8pfIXZ6peeno64uLhcf+Lj47PdFpuQhI/tZgJc7l+KBBwQvKQHVEXyGQevyPKS/5QKqSZCSrSWLVti9uzZWLJkCfr06QNjY2O5X1MgEGDy5Mno3bs3rKys0K1bN1hZWWHdunUoU6aM3K9PFF9mC02G+M8f/wIO6DplNcaNainTawcEBMDU1BTx8fGSyTcmJiYyvQYpfNK+pjaee4qpzdWlCoR/Coa5rcGrrKwMDQ0NyU/p0qWhoaEBVVVVxKdzUoVJ4GfralxyeokMlHlBLZSEFJKUlBQ0b94cSkpKuHfvHpSVlQvt2owx7NixAzNnzoSmpiZ27NiBXr16Fdr1ieJJTsuAgeN55PC5LyHrFho/Pz90794dycnJqFevHs6dO4datWrJ5NyEP3l5TTGxGG83DARL/3erQ6FQmCUA5vSTGQ5z+vn1PfbHjx84deoUDh8+jAsXLiBNDNSc4UMtlLmgFkpCFJCKigr27t0LExMTrFixAkuWLCm0a3McBxsbG/Ts2RPjx49H7969MWrUKGzatAnlypUrtDqI4ohLTpfqgx+QbQvN+fPn0a9fP6SlpaF79+44fPgwNDQ0Cnxewr+8vKY4gQBX/e6gesUykgCoqqpaoJUC/uv79+84ceIEfHx8cPHiRaSlpaF169ZYtWoVzM3NYXfwKR5HpYMT/jkKCQUcujbQKpFhMq9oUg4hhahp06aYP38+VqxYgYCAgEK/fs2aNXH+/Hm4u7vjxIkTMDAwwMmTJwu9DsI/DVUlSPvRzQEorVLwD9SDBw+id+/eSEtLg52dHc6cOUNhshjRUFVCLnNcJAQcYNLUGHXq1EHlypVRqlQpmYTJ6OhoeHh4oFevXtDS0sLYsWMRExODtWvX4u3bt7h9+zamTZuGu3fvwtd1HjhBzq9rsZjBqp1ugesqCShQElLI5s2bByMjI4waNYqXfWM5jsPYsWMRFBSEZs2a4e+//8aIESPw7du3Qq+F8CMsLAwjhg5G/IvbgPjPa04CAMQZiH9+C+3btMLevXul2jv+d+tZurq6YujQoWCMYevWrXB2dpbbYv+EH6oiIboaaEGYS6pkGekon/gOcT+if3u/NOuh/urr16/YtWsXunfvDi0tLVhZWSEhIQEbNmzAu3fvcPPmTUyZMgXVq1cHAOzZswfDhg3DgPbGWNqvITggW81CAQcOwDIzwxK7ZFBe0RhKQnjw9OlTNG/eHA4ODli5ciVvdTDG4OXlhSlTpkAkEmHr1q0wNzfnrR4iXwkJCXBycsK6detQsWJFTHRcj51vSuc6I3d6I+DsPhecP38eFStWhLW1NWxtbSUf0Jl+t/ZgVwMt4Pll7FgxB8rKyjh16hS6desm1+dJ+CPNLG+AIeH4MmR8foVVq1bBysoKAoHgj6+f3+1Y8+XLFxw7dgw+Pj64evUqGGPo2LEjBg4ciAEDBkBbW/u3V966dSsmTZoEa2truLm5QSAQ4GF4NHb5heFi8CfJdbsZaMOqnW6JD5N5yX8UKAnhyYoVK7Bo0SLcuXMHLVvKdgZtXn38+BETJ07E8ePHMXDgQLi6uqJy5cq81kRkhzGGAwcOYNasWfj69StmzpyJOXPmQF1dHV73IrDweGC2mblCAQexmGGZmSEsTH5OmHn58iVcXV2xe/duJCYmon///rCzs0P79u3hdS8Si05kPw/HxBCDQ/LN3bjuvgL169cv9OdPCtefXlNgYnCcAMvMDNG9thpmzZqFPXv2oFWrVug3Yy12+Mfk+Do0raWCY8eO4fDhw7h+/ToAoFOnThg0aBDMzMygpaWVY13r1q3DzJkzMXXqVGzYsCFbF3tyWgbiktOhoapEYyb/jwIlIUVAeno6Wrdujfj4eAQEBKBUqVK81sMYw8GDBzF58mQAgIuLC4YMGSLTQfKk8Pn7+8Pe3h63b9/GgAEDsG7dOujqZh0TltcWmri4OOzbtw8uLi54/vw5DDr2RUJrayCXUZk+JXjHkZLmv68pDgwJL+5g77xR6Nm8nuS4mzdvwnr+aiS2mZDzew1j+OQ9G+kfX6BLly4YOHAgzMzMUKlSpVxrYYxhyZIlWLJkCebPn49ly5bR+5qUKFASUkQEBwejSZMmsLe3x9q1a/kuB8DPrqTJkyfj8OHDMDMzg5ub2x+7j4ji+vLlC+bNmwcPDw80bNgQmzdvRufOnXN8TF5baBhj8PX1xYxjzxFTuqZUs2W3WTTL83MhRVfma4qlJqJ2rRqYOXMmHB0dsxxjve8BLoV8BsvpCwkTo0HpVHjZ/oUKFSpIfX3GGGbNmoV169Zh5cqVmDt3bn6fSolEWy8SUkQYGBhg2bJlWL9+PW7dusV3OQCAypUr49ChQ/Dx8cHt27dhYGAAT09PSPHdkyiA1NRUrF+/Hnp6ejh69Ci2bNmCR48e5RomgZ+TKippqEjd3cdxHNr/1RnxZWvnGCYBIEPMcDH4k9QTLUjxkPmaqlyhHEaMGIGdO3dm2YI2OS0Dvs+/5BwmAYAT4EWiKtQ1y0p9bbFYjEmTJmHdunXYvHkzhUk5o0BJCM9mzJgBExMTjBkzBomJiXyXI2Fubo6goCD07NkTo0aNQt++ffH+/Xu+yyI5OHfuHBo1aoRZs2Zh5MiRePXqFSZNmgQlJfktOZyf9SxJyWRra4v379/j1KlTktvk9fpJT0+HpaUltm3bhl27dsHe3j4/JZM8oEBJCM+EQiH27NmDd+/eKdw36IoVK8Lb2xsnTpxAQEAAGjZsCA8PD2qtVDAvX75Enz590KtXL1StWhWPHz+Gi4tLnroG8yuvaw9qqNJ+GiVV48aN0apVK7i5uUluk8frJzU1FcOHD4e3tze8vb0xbty4/JZM8oACJSEKoF69enBycoKzs7Nk9qIi6devH4KCgmBmZoZx48ahZ8+eiIyM5LusEi82NhYzZ86EoaEhAgMD4ePjg8uXL8PIyKjQapB27UGhgEM3A22aPVvC2dra4tKlS3j16hUA2b9+kpOTYW5uLtkhZ9iwYTKrneSMAiUhCsLe3h7t27eHpaUl4uPj+S4nm3LlymHPnj04c+YMAgMDYWhoiO3bt1NrJQ/EYjE8PDygp6eHrVu3YtGiRQgJCYG5uTkvs1et2tVGhlic4zG04wgBgMGDB6N8+fLYtm2b5DardrUhzqXfW5rXT0JCAvr06QNfX1+cPHkSZmZmsiiZSIkCJSEKQiAQYPfu3fj8+TNmzZrFdzl/1KtXLwQFBWHIkCGYMGECTE1NERYWxndZJcadO3dgYmKCcePGwdTUFC9evMCCBQt4XXaqIotB/FV3gDHacYTkSFVVFZaWlti9ezeSkpIAAC10ymOZmSE4AIL/LIku7esnJiYG3bt3x71793D+/Hl0795djs+C/A4FSkIUSJ06dbBmzRq4ubnB19eX73L+qEyZMti5cycuXryI169fw8jICC4uLhDn0kpF8u/9+/cYOXIk2rRpA7FYDD8/P3h7e2fbraawicViWFpaovSnR9g7yhhdG2hJxsQJOKBrAy0ctmktWRydEBsbG3z//h2HDh2S3GZhUguHbVqjbqlEsP+/j0j7+vn27Ru6dOmCoKAg+Pr6omPHjnJ/DuQ3mBRiYmIYABYTEyPN4YSQAsjIyGCdO3dmNWrUKBK/c7GxsczW1pYBYB06dGCvXr3iu6RiJSkpia1YsYKpq6uzSpUqsZ07d7L09HS+y5LYsGEDA8CuXLkiuS0pNZ19iU1mSamKUydRLN26dWMmJibZbl+xYgWrqFVF6tfPx48fmaGhIatUqRJ7/PixPEot0fKS/6iFkhAFIxAI4O7uju/fv2P69Ol8l5MrDQ0NbN26FVeuXMHbt2/RqFEjbNy4ERkZtN5gQTDGcPz4cTRs2BCOjo6wsbHBq1evYGVlBaFQMSa2BAcHY+7cuZg6dSo6deokuT2v61mSksfW1hb37t3Do0ePstz+48cPlNVQl+r18/btW3To0AHR0dG4fv06jI2N5VkyyQUFSkIUkI6ODjZs2AB3d3ecO3eO73Kk0qlTJzx79gzjx4/HjBkz0L59ezx//pzvsoqkoKAgdO3aFf3794e+vj6ePXuG9evXo0yZMnyXJpGWloZRo0ZBV1cXK1eu5LscUsT06dMH1atXz7KEEPD/QFm2bK6PDw0NRfv27ZGamoobN26gQYMGcqqUSIsCJSEKysrKCt26dYOVlRW+f//OdzlSUVdXx+bNm3Hjxg18/foVjRs3xpo1a7LsjEH+7Pv377C3t4exsTEiIyNx+vRpnD17FvXr1+e7tGxWrFiBx48fY9++fbzvQ0+KHiUlJYwfPx7e3t6IiYmR3C5NoAwJCUGHDh2grKyMmzdvok6dOnKulkiDAiUhCorjOOzatQvx8fGYOnUq3+XkSbt27fD48WNMnjwZc+bMQZs2bRAUFMR3WQorIyMDbm5u0NPTw549e+Dk5ITAwED07t2bl2WAcvPw4UMsX74c8+fPR4sWLfguhxRRVlZWSElJgaenp+S23ALl48eP0bFjR5QvXx43btxAjRo1CqFSIg0KlIQosBo1amDz5s3Yt28fTp48yXc5eaKmpoZ169bh9u3biIuLQ9OmTbFixQqkpaXxXZpCuX79Opo2bYqJEyeiX79+ePnyJWbOnAllZWW+S/utpKQkjBw5EsbGxliwYAHf5ZAirGrVqjAzM4Obm5tkPducAuW9e/fQqVMn1KxZE9euXYO2tnYhVktyQ4GSEAU3evRo9OnTB9bW1vj27Rvf5eRZq1at8OjRI0yfPh2LFi2CiYkJnj59yndZvIuIiMDgwYPx119/QU1NDffv34eHh4fCf0jOnz8fYWFh8PT0hEgk4rscUsTZ2toiODgYN27cAPDnQHn9+nWYmpqiYcOGuHz5cqFsK0ryhgIlIQqO4zhs374dqampsLOz47ucfFFVVYWTkxPu3buHtLQ0NGvWDIsXL0ZqairfpRW6xMREODo6on79+vDz84Onpydu3bpVJLqOr127ho0bN2LlypUwMDDguxxSDHTu3Bn6+vqSyTm/C5QXLlxAjx49YGJiggsXLijU5DTyLwqUhBQBVatWxZYtW3DgwAEcOXKE73LyrXnz5nj48CHmzJmD5cuXo0WLFggICOC7rELBGMM///yDevXqYdWqVZg2bRpevnwJCwsLCASK/1YcGxuLMWPGoEOHDkVuTC9RXBzHwdbWFkePHkX4uw+ITWVQL1NOcv/x48fRr18/dOnSBadPn4a6ujqP1ZKccIzlvhFvbGwsypQpg5iYGGhqahZGXYSQ/2CMwdzcHDdv3kRQUBAqV67Md0kF8ujRI1haWiIwMBCzZ8/GokWLoKKiwndZcvHo0SNMmTIFN2/ehJmZGdatW1fkZqaOGzcOhw4dwtOnT6GrS3tyE9m58iwCw5e6o1TdlmDgwIGhW0Nt6CS/wcIJwzFgwAB4eXkp7Lji4iwv+U/xvxYTQgD8/CafOXh94sSJkOK7oEJr0qQJHjx4AEdHR6xduxZNmzbF/fv3+S5LpqKiomBjY4NmzZrh27dvuHTpEo4dO1bkwuSpU6fg4eGBjRs3UpgkMuV5NwLj9geiVJ0WYPi5ogEDh0tBn7DttRo6WS/C/v37KUwWARQoCSlCtLS04ObmhiNHjuDgwYN8l1NgIpEICxcuhL+/P0qVKoXWrVtj1qxZSEpK4ru0AklLS8OmTZugp6eHQ4cOYdOmTXj8+DFMTU35Li3PoqKiYGVlhd69e2PcuHF8l0OKkQfh0Vh0IhAMAOOyxhExOHAch9dlmuHxu1h+CiR5QoGSkCJm0KBBGDx4MCZNmoRPnz7xXY5MGBkZ4e7du1i+fDk2b96MJk2a4Pbt23yXlS8XL16EsbExZsyYgWHDhuHVq1ewt7cvkjOiGWOwtbVFRkYGdu3apZBrYpKia5ffGwgEOb+mBAIOu/zCCqkiUhAUKAkpglxdXaGkpARra+si3/WdSUlJCXPnzsWjR49QtmxZtGvXDtOmTUNiYiLfpUnl9evX6NevH7p3745KlSohICAAbm5uqFixIt+l5dv+/ftx5MgRuLm5KfxyRqRoSU7LwKXgz8gQ5/z+lSFmuBj8CclpGYVUGckvCpSEFEEVK1bE9u3bcerUqSy7TBQHBgYGuHXrFtauXYtt27ahUaNGkjXqFFFcXBxmz54NAwMDPHnyBIcOHcK1a9dgbGzMd2kF8u7dO0yaNAnDhw/HoEGD+C6HFDNxyenIJUtKiNnP44lio0BJSBFlZmYGCwsL2Nvb4/3793yXI1NCoRAzZszAkydPoK2tjY4dO8LOzg7x8fF8lyYhFouxd+9e6OvrY8uWLZg/fz5CQkIwaNCgIt81zBjD2LFjoa6uDhcXF77LIcWQhqoScuntlhBwP48nio0CJSFFmLOzM9TU1GBlZVVsur5/pa+vj+vXr2PTpk1wd3eHkZERLl++zHdZuHfvHlq3bo0xY8agY8eOeP78ORwdHaGmpsZ3aTLh5uaGS5cuwcPDA+XKlcv9AYTk0e2b15ER8QhMnHPLo1DAoZuBNlRFwkKqjOQXBUpCirBy5cph586dOH/+PDw8PPguRy6EQiGmTJmCZ8+eoVatWjA1NYWNjQ1iYwt/5ufHjx8xZswYtGrVCqmpqbh+/Tr++ecf1KxZs9BrkZdXr15h5syZmDBhArp37853OaSYSUhIgJ2dHbp06YKqcc/BCXJueRSLGaza0VJVRQEFSkKKuN69e8PS0hLTpk1DREQEgJ8D3qPiUorVQPY6dergypUrcHV1hbe3NwwNDXHhwoVCuXZKSgpWr14NfX19nDlzBtu3b8fDhw/RoUOHQrl+YcnIyMDo0aNRpUoVrF27lu9ySDFz+/ZtNG7cGO7u7ti8eTNuHd+H5WaG4PCzJfJXQgEHDsAyM0M01ynPS70kb2inHEKKgZiYGBgaGqJms04wNLfHpZDPELOfY4+6GmhhfLvaxepNOTw8HOPHj4evry/Gjh2L9evXZ9v/VxYYYzh16hSmT5+O8PBwTJ48GY6OjsW2G3jVqlWYN28ebt68ibZt2/JdDikmkpOTsWjRIqxbtw4mJiaSsceZHoZHY5dfGC4Gf5K8b3Uz0IZVO91i9b5VFOUl/1GgJKSYmLf7HLxfZEDI/VwUOJNQwEEsZlhmZggLk1o8VihbjDHs2rULM2bMgIaGBrZv344+ffrI7PwhISGYOnUqLl68iG7dumHjxo0wMDCQ2fkVzZMnT9CiRQtMnz4dq1at4rscUkw8fPgQo0ePxuvXr7Fs2TLMmDEDQuHvx0Mmp2UgLjkdGqpKNGZSQdDWi4SUMA/Co3HgpRgcx2UJk8DPddwYgIXHA/EwPJqfAuWA4ziMHz8eQUFBaNSoEfr27YuRI0ciOrpgz/HHjx+YOnUqjIyMEBoaihMnTuD8+fPFOkympKRg1KhRqF+/PpYsWcJ3OaQYSE1NhaOjI1q1agUVFRX4+/tj1qxZfwyTAKAqEqKShgqFySKKAiUhxUBJ3nGiRo0aOHv2LHbv3o1Tp07BwMAAx48f/+2xOY0tzcjIwI4dO6Cnpwd3d3esWLECQUFB6NevX5FfBig3ixcvRkhICPbt2wcVFRW+yyFF3LNnz2BiYoKVK1di4cKFuHfvHgwNDfkui8gZBUpCiri87jiRkJxaSJUVHo7jMGbMGAQHB6Nly5bo378/hg0bhq9fvwL42YJr4/UQBo7n0WKlLwwcz8PG66GkxfbmzZto3rw5bGxs0KtXL7x48QKzZ88uEeHq9u3bWLNmDRYvXozGjRvzXQ4pwtLT0+Hk5IRmzZohLS0N9+7dg6OjY5HcdpTkHY2hJKSIi4pLQYuVvlIf/9bZAiosBRoaGihdurRM/lRRUVGYVjzGGPbv3w97e3sIhUKMWLwdx98qQyDgsoRu4f//rvv1Lq7tWo6WLVvC2dkZJiYmPFZfuBISEmBsbIxKlSrh5s2bUFKixaNJ/rx48QKjR4/GgwcPMHPmTCxZsqREfCEr7vKS/+jdg5AiLnPHCWm2MePAsHXzeiQnxCE+Ph5xcVn/jImJwfv377PdnpKSkuN5hUKhTAOqurp6jmOtcnyOHIcRI0agS5cuGD1jKY5GisBxyNaCm/n3NxVMsHSrF+bbDINAULI6bWbNmoUPHz7g3LlzFCZJvojFYjg7O2Pu3LmoUaMG/Pz80Lp1a77LIjygdxBCijhVkRBdDbTgG/Ilx25voYBD1wbasLHI+0zotLS03wZQaf589+7db+/LrXNETU2twMG0UoeheBUeC3EO11ESCvBeo36JC5MXL17E1q1b4eLiAj09Pb7LIUVQWFgYLC0tcf36ddjb28PJyanY7BZF8o4CJSHFgFW72rgY9DnHYwqy44RIJEK5cuVktv4iYwyJiYn5Cqk/fvzAu3fvcm1F5ZSUUWO6D7hcgmLm2NLktIwSM7v0+/fvGDt2LLp27QpbW1u+yyFFDGMMO3bswIwZM1CxYkVcuXIFnTp14rsswjMKlIQUAy10ymOZmSEWHg8EB5Z1HUoOSBczVIq8gkZVu/JY5b84joO6ujrU1dWhpaUlk3OmpqYiISFBEjDfRsXA5rx0SwiJGRCXnF5iAqWdnR3i4+Ph4eFR4lpmScG8ffsWVlZWuHjxIsaPH4/169dDQ0OD77KIAqBASUgxYWFSC/W1NDB120m8ZRXACQT/3ylHG83Uf2DyRleMF33Dnj17FGYCjSwpKytDWVlZ0opaOy0DggvnpRxbCpRWKRlh0sfHB97e3vD09ET16tX5LocUEYwxeHp6wt7eHqVLl8a5c+fQo0cPvssiCoQCJSHFSHOd8lB96IXGmmWxa693lh0nSu/Zg+HDh6NmzZpYtmwZz5XKn7RjSyHOQPzLu2hjsgALFixA//79i22r3adPnzBhwgQMGDAAI0aM4LscUkR8+vQJNjY2OHnyJEaOHInNmzcX2+1HSf4Vz3dNQkooxhgCAgLQvIlxth0nhg0bhjVr1mD58uXYsWMHj1UWHqt2tSHOpYmSEwixcrQpKlSogIEDB8LIyAj79+9Henp6IVVZOBhjsLa2hlAoxLZt24plKzWRvcOHD8PQ0BB3797FsWPHsG/fPgqT5LcoUBJSjISHh+P79+9o1qzZb+93cHDA5MmTYWtri9OnTxdydYUvc2wph5+z3H8lFHDgACwzM8R4s87w9fXF7du3oaurixEjRqBBgwbw8PBAWloaL7XLWuZOQjt37kSlSpX4LocogJx2jvr27RuGDh2KwYMH46+//kJgYCDMzMwKv0hSZNDC5oQUIz4+Phg0aBA+fvwIbW3t3x6TkZGBgQMH4uLFi7h69SpatmwJ4OeHS1xyepZu8uLiYXg0dvmF4WLwJ4gZIOCAbgbasGqni+Y65bMdHxAQgBUrVuDo0aOoWbMm5syZA0tLS6iqqvJQfcGFh4ejUaNGGDhwIDw8PPguh/DsQXg0dvm9waXgz5Lfh64GWhjfrjaa65THqVOnMH78eKSmpsLV1RVDhw6lFu0SKi/5jwIlIcXIvHnzsHfvXrx//z7H4xITE9GlSxeEhoZix7HLOBeW8scPl+Ikr6E5MDAQK1euxMGDB6GtrY2ZM2fC2tq6SK21JxaL0blzZ4SFheHZs2f0Hl7Ced6NwKITgb/dOUosZtCLCcAlt0Xo3bs3du7ciSpVqvBYLeEbBUpCSqju3btDRUUFJ0+ezPXYr1+/wsTCARmNB/7chvCXd4LMD5dlZoawMKklx4qLhpcvX8LJyQmenp4oX748pk+fjokTJxaJ98NNmzZh2rRptFYgwYPwaAzefgc5fegzxjC25g8ssh1BrZIkT/mPxlASUkxkTshp2rSpVMeHxQuQ0WQQwGUNk8DPxb4ZgIXHA/EwXLq1HIszfX197N69G69fv4a5uTkcHR2ho6ODJUuW4Pv373yX90chISGYM2cOpkyZQmGSYJffGwgEOYdEJQGHj5oNKEySPKNASUgx8fbtW3z9+vWPE3L+a5ffm2wTVf5LIOCwyy9MFuUVCzo6OnBzc0NoaChGjRqFVatWoVatWpg3bx6ioqL4Li+LtLQ0jBo1Crq6unBycuK7HMKz5LQMXAr+nPMSWgAyGCQ7RxGSFxQoCSkmAgICAECqFkqpP1x+2ZaQ/Kt69erYtGkTwsPDYWtriy1btkBHRwfTp0/Hx48f+S4PALBy5Uo8evQI+/btQ6lSpfguh/AkOjoaN2/exNadHlIt8g/8u3MUIXlBgZKQYsLf3x9aWlqoWrVqrsfGJafTh4sMaGlpYfXq1QgPD4eDgwM8PDygq6uLSZMmITIykre6Hj58iOXLl2P+/Plo0aIFb3WQwhMVFYXr16/Dzc0NkydPRufOnaGtrY0KFSqgQ4cOmDV9CsDEUp1LwAEaqrTvCckbmpRDSDHRu3dvMMZw9uzZXI9NTsuAgaN02xIKOCB4SY9it5SQPMTExMDV1RUbNmxATEwMRo8ejTlz5qBu3bqFVkNSUhKaNWuGUqVK4e7duxCJRIV2bSJfjDF8+fIFQUFBCA4OlvwEBQXh69evAACRSAR9fX0YGBhIfho2bAg9PT3YHXqa685RQgGHrg20sM1CuqEzpHjLS/6jryCEFAOMMfj7+2P8+PFSHS/ttoSZHy4UJqVTpkwZzJs3D/b29ti+fTvWrl2L3bt3Y/jw4Zg3bx4aNGgg9xrmz5+PN2/eICAggMKkDBXmOq2MMXz8+DFbaAwODkZ09M9JcsrKyqhXrx4MDAzQpUsXSXisW7fuH/+/W7WrjYtBn3O8tljMYNVOV+bPiRR/1EJJSDHw/v17VK9eHUePHkX//v2leow0S4hwAA7btC5261EWlqSkJHh4eGD16tV49+4dzM3NMX/+fDRu3Fgu17t27Ro6d+6MdevWYfr06XK5RkmT2yLgBcEYw/v377OFxuDgYPz48QMAoKKigvr160taGjODY506daCklPc2Ia97EVh4PBBicQY4wb/BmJYKI79D61ASUsKcOnUK/fr1Q0REBGrWrCn149Ydv4ctd6Mg5AAx/p3xTR8uspWamop9+/bByckJb968Qd++fbFgwQLJLkWyEBsbi0aNGqFWrVq4evUqBAIaIl9QuS0CLu3vB2MMb9++zdZVHRwcjNjYWACAqqoqGjRokCU0NmzYELq6uhAKZdsieuLWM1itO4DS9duA4ecWpN0b/nnnKFJyUZc3ISWMv78/KlasiBo1auTpcRGXvZB6LQB9Z26E7/Oof1tgGmjRh4sMKSsrw8rKCmPGjME///yDFStWwMTEBF27dsXChQvRvn37Al9j+vTp+PbtG4VJGXkQHo1FJwLBgGzDQjL/vvB4IOpraUh+T8RiMSIiIrK1OIaEhCA+Ph4AoKamJgmMZmZmkuBYq1YtmQfHP/nxOgDfTqzCk22fUd+oCebNnIY5Fr0L5dqk+KJASUgxkLmgeV4WI46Li8PevXthb2+P5aNaFuu9vBWFkpISLCwsMGzYMBw9ehTLly9Hhw4d0KFDByxYsACmpqb5WlD61KlTcHd3x86dO6GrS+PfZCFzEfCcxhhzYJjpfh41Is5LgmNiYiIAoHTp0pKwOGjQIEnLY82aNXkP/H5+fjA0NERVrUqor1MVL0OCeK2HFA8UKAkpBvz9/TF69Og8PcbT0xOJiYmwsbEB8HOiDgXJwiEUCjFo0CCYm5vj9OnTWLZsGbp16wYTExMsWLAAvXv3zjFY/hr+42O+Y/z48ejduzfGjRtXiM+i+MpcpzW3VRDE4PAmVQNJoWEwNjbG8OHDJa2PNWrUUNjdZvz8/CQ7JxkYGCAkJITnikhxQIGSkCLu06dP+PDhg9RbLgI/x3S5uLjg77//znM3OZEdgUCAfv36oW/fvrh48SKWLVuGvn37onHjxliwYAH69++fpTXrdxNENOPCIS6vg507dypsgClq8rJOKycQ4NR5X1TSUJFvUTISFRWF58+fY+HChQCABg0a4NixY2CM0euHFAgNtCGkiMvcIUfaLReBn7OBQ0JCMHnyZHmVRfKA4zh0794dN2/exLVr11ChQgUMHDgQRkZG8Pb2Rnp6OjzvRmDw9jvwDfkiCTtiBnwvVR1qfy/A5chUfp9EMaKhqoRcdiWVKGqLgN++fRsA0LZtWwA/WyhjY2Px4cMHPssixQAFyiIoOS0DUXEptB0eAfAzUJYrVw46OjpSP8bV1RUGBgb466+/5FYXyTuO49CxY0f4+vri9u3b0NXVhYWFBeq164WFJ579doIIJ1QCwGHh8UA8DI/mpe7iJnOd1tz2uhcKOHQz0C5SQ0Vu3bqF6tWrS1aDMDAwAAAEBwfzWRYpBihQFiEPwqNh4/UQBo7n0WKlLwwcz8PG6yF9iJRw/v7+eZqQ8+7dOxw/fhwTJ06kLi4F1rp1a5w+fRr+/v7QaP43WEbOXyAFAg67/MIKqbriz6pdbYhz3eteXOQWAffz80O7du0kv/s6OjpQVVWlQEkKjAJlEfGn7i7fkC8YtP0OvO5F8Fsg4U1moJTW9u3boaamhlGjRsmxKiIrBkbGiNXU+X9L5J9liBkuBn+ingsZaaFTHsvMDAEwsIyse9n/bLlk+HZ+K64f2c1LffmRlJSEhw8fol27dpLbhEIh6tevTxNzSIFRoCwCclsPjQHU3VVCRUVF4e3bt1KPn0xJScGOHTswatQoaGhoyLk6Igt5mSAiZj+PJ7IxtFk1ZFxYB630z5IxlZnrtB62aQ37Xk3g4OCA9evX81uolB48eIC0tLQsgRL4OTGHWihJQRWdkcQlmDTroWV2d9FC1CVLXifkHDlyBF++fMGkSZPkWRaRocwJItKEyqI2QUTRnTx5Eu8eXccpj02o39Ao2zqtzZcvBwA4ODiA4ziF3+7Sz88PmpqaMDQ0zHK7gYEBLly4QDO9SYHQO4+Ck3Y9tF+7u4rSAHFSMAEBAdDU1ETt2rWlOt7FxQWdO3dGgwYN5FwZkZXMCSK+IV9y/FIpFHDo2kCLfv9lyMXFBW3btpXsvf7ff1uO47B8+XIwxjBjxgwAUOhQ6efnhzZt2mTbkcfAwADR0dGIiopC5cqVeaqOFHUUKBVcfrq76AOl5MgcPynNzhuPHj3CnTt3cPTo0UKojMiSVbvauBj0OcdjxGJW5CaIKLLg4GBcvXoV+/fvz/E4juOwYsUKAMCMGTPAcRymTZtWGCXmiVgsxu3bt+Hg4JDtvl9nelOgJPlFYygVXHFeD40UXOaWi9JwdXVFjRo10LdvXzlXRWQtc4IIB2RbyoYDAwdgmZkhDXmRoa1bt0JLSwvm5ua5HpsZKufMmYPp06dj48aNhVBh3gQFBSEmJibb+EkAqFOnDpSUlGhiDikQCpQKTtr10FhGOsSRj+DqvAnfv38vpOoIn6KjoxEWFibV+Mno6Gh4e3vDxsYGSkr0paMosjCphcM2rdG1gda/XzKZGKIvIThs0xoWJrV4ra84iY2Nxd69e2FtbQ1lZWWpHsNxHFauXKmwodLPzw9KSkpo2bJltvtEIhH09fVpYg4pEAqURYA066FxQiUYq0Zj7ty5qF69OmxtbenNoZh79OgRAEjVQrl7926IxWKMHz9e3mUROWquUx7bLJoheEkPPJhnilXN0/DKYxZKJXzku7RixdPTE0lJSZJ97qWVGSpnz56tcKHSz88PzZo1g5qa2m/vNzAwoM8MUiAUKIuAnLq7mDgDjDFUiriMgy4rERkZidmzZ+P48eNo2LAhunbtilOnTiEjl0WRSdHj7++P0qVLQ19fP8fjxGIxtm7dikGDBtH4qGJCVSREJQ0VDOjXBxUqVMDevXv5LqnYYIzB1dUVZmZmqFatWp4fz3EcnJycJKFy06ZNsi8yHzIXNP8TCpSkoChQFhG/6+4ScEDrGmr49s88PDrkjP79+6Ns2bJYtGgRIiIi4O3tjbi4OPTr1w/6+vrYuHEjfvz4wevzILLj7++Pxo0b5zoh5/z583jz5g3t210MKSsrY/jw4fD09ER6Oq0/KQtXr14t8D73maFy1qxZmDZtGu+hMjIyEpGRkbkGyk+fPtGQKZJ/TAoxMTEMAIuJiZHmcCJnSanp7EtsMktKTWeMMbZ7924GgIlEItazZ0+WnJyc5fi7d++yESNGMJFIxNTV1ZmtrS0LDg7mo3QiQ3Xr1mVTpkzJ9bhevXqxpk2bMrFYLP+iSKHz9/dnANiZM2f4LqVYGDBgAGvYsKFMfl/EYjGbNWsWA8A2bdokg+ryZ//+/QwA+/Llyx+PefLkCQPAbt26VYiVEUWXl/xHLZRFUGZ3V+byQGPGjIGtrS0YY7h8+TLMzc2RkpIiOd7ExAReXl6IiIiAg4MDjh49CgMDA3Tr1g2nT5+GWCzm66mQfIqJicHr169zHT8ZGhqKc+fOYdKkSbRgcTHVpEkTGBkZYc+ePXyXUuS9fftWpvvccxyHVatWYebMmZg6dSo2b94sgyrzzs/PD/Xq1UOlSpX+eIy+vj4EAgF1e5N8o0BZTGzatAnNmzeHpqYmfH19MWjQIKSmpmY5pkqVKli8eDEiIiLg6emJ79+/o2/fvtDX18emTZsQExPDU/UkrzIn5OQ2w9vNzQ3lypXDsGHDCqMswgOO42BpaYkTJ04gOpq2Xy2I7du3Q11dHSNHjpTZOTmOw+rVqyWh0tnZWWbnltatW7fQtm3bHI9RVVVFnTp1KFCSfKNAWUwoKyvDx8cHAoEA+vr6uHDhAgYPHpwtVAKAiooKLCwscP/+fdy5cwctW7bEzJkzUa1aNUyePBnPnz/n4RmQvPD390epUqVQv379Px6TmJgId3d3jB07FqVKlSrE6khhGzFiBMRiMQ4cOMB3KUVWSkoKdu7cidGjR8t8n/vMUOng4IApU6YUaqiMiYnB06dPcxw/mYkm5pCCoEBZjFSrVg2HDx9GcHAwevfujXPnzmHIkCFIS0v77fEcx6FVq1bYv38/IiIiMH36dBw6dAgNGjRAjx49cPbsWeoOV1ABAQFo3Lhxti3UfnXgwAHExMTA1ta2ECsjfKhcuTJ69epF3d4F4OPjgy9fvmDixIlyOT/HcVizZo0kVG7ZskUu1/mvO3fugDEmVaBs0KABBUqSbxQoi5kOHTpg/fr1OHbsGKZMmYIzZ85g6NChfwyVmapWrYqlS5fi7du32Lt3L75+/YrevXujXr16cHZ2RmxsbCE9AyINf3//HLu7GWNwcXFBr169pN7nmxRtY8aMwcOHDxEYGMh3KUWSq6srunTpItd97n8Nlfb29oUSKv38/FC5cmXUrVs312MNDAzw9u1bxMXFyb0uUgzJepYP4Z9YLGbDhw9nampqbMuWLUwkEjFzc3OWmpqap3PcunWLDR06lCkpKbHSpUszOzs79uLFCzlWTqQRGxvLOI5jHh4efzzm1q1bDAA7d+5cIVZG+JSSksIqVKjAHBwc+C6lyMmcKX/06NFCuZ5YLGYzZsxgAJizs7Ncr9WxY0c2YMAAqY59+PAhA8Du378v15pI0UGzvEs4juOwY8cO1K1bF87OztizZw9OnDiBESNGSL1WHcdxaNOmDQ4cOIDw8HBMnToV//zzD+rVq4devXrh/Pnz1B3Ok8ePH4MxlmMLpaurK+rWrYtu3boVYmWET8rKyhgxYgStSZkPhb3PPcdxWLt2LWbMmAF7e3u4uLjI5Tqpqam4d++eVN3dACRjsqnbm+QHBcpiSl1dHUePHkVUVBT++ecf/PPPPzh27BgsLCzy/GFTrVo1LFu2DJGRkdizZw8+ffqEnj17okGDBnBxcaHukULm7+8PFRWVP3bNff78GYcPH4atrW2ui56T4mXMmDH4/PkzLly4wHcpRUZ0dDT279+PCRMmFOo+95mhcvr06bCzs5NLqAwICEBycrLUgVJdXR06OjrFIlAmp2UgKi4FyWm0S1xhoU+bYqxOnTrYv38/Tp8+jeDgYBw8eBA+Pj4YOXJkvlowVFVVMXr0aPj7+8PPzw+NGzfG1KlTUa1aNUydOhWvX7+Ww7Mg/xUQEABjY2OIRKLf3r9z504oKSnB0tKykCsjfGvSpAmMjY1pck4eeHh4QCwWw8rKqtCvzXEc1q1bJwmVrq6uMj3/rVu3oKamhsaNG0v9mKI+MedBeDRsvB7CwPE8Wqz0hYHjedh4PcTDcPksqUXB9V8UKIu5nj17YvHixXB0dISqqir++ecfHD58GKNHj873/t4cx6Ft27Y4ePAgwsPDYWdnBy8vL+jr66NPnz64cOECdYfLkb+//x8XNE9PT8e2bdswYsQIlCtXrpArI4pgzJgxOHnyJL59+8Z3KQpPLBbDzc0NgwcP5m2f+8xQOW3aNEyePFmmodLPzw8mJiZ//PL5OwYGBgh+8bpIhiTPuxEYvP0OfEO+QMx+3iZmgG/IFwzafgde9yJkdq3CDq5FAQXKEmDBggXo3bs3RowYgSZNmuDAgQM4ePAgLC0t8x0qM1WvXh0rVqzA27dv4e7ujnfv3qFHjx4wMDCAq6srdYfLWEJCAp4/f/7H8ZMnTpzA+/fvMWnSpEKujCiK4cOH05qUUsrc557v3xeO47B+/XqZhkrGGPz8/KTu7gZ+hqTAsq2R3n9NkQtJD8KjsehEIBiAjMw0+X8ZYgYGYOHxQJk8l8IMrkUJBcoSQCAQwNPTExUrVkT//v3Rq1cveHt7w9vbG2PHji1wqASAUqVKwdLSEo8ePcKNGzdgZGSEKVOmoHr16pg2bRpCQ0Nl8EzIkydPIBaL/xgoXV1d0bZt2zx1cZHipXLlyujduzd1e0vBxcUFTZs2hYmJCd+lSELl1KlTZRIqX758ia9fv0odKDND0stEVXD/H3tdlELSLr83EAhy3i5TIOCwyy+sQNcpzOBa1BTeCGTCq7Jly+LYsWMwMTGBtbU1vLy8IBaLYWFhAYFAAHd3d5lM4OA4Du3bt0f79u0RGRkJNzc37NixA5s3b0bv3r1hb28PU1NT2lc6nwICAqCsrIyGDRtmuy8oKAhXr17F/v37eaiMKJIxY8agf//+ePbsGYyMjPguRyGFhobi/PnzcHd3V5j3I47jsGHDBgDA5MmTwXFcvhda9/Pzg0AgQKtWrXI99teQxLJmJEloWng8EPW1NNBcp3y+6pEHxhhSU1MRHROHS8Gf8Z98l02GmOFC0Cfcvv8QaspKEAqFEAgEEAqFWX7+e9uvf99+/RUEAi5bmPxVZnBVpH+rwkCBsgQxNDSEh4cHhg4dipYtW2LKlCkQi8UYNWoUBAIBdu7cKdNZwTVr1oSTkxMWLVqE/fv3w9nZGd26dUODBg1gZ2eHkSNHonTp0jK7Xkng7+8PIyMjKCsrZ7tv69at0NLSgrm5OQ+VEUXSq1cvVKxYEXv37sW6dev4LkchZe5zP3ToUL5LySIzVDLGJF3x+QmVfn5+MDY2hqamZq7HZrbuyTokpaenIyEhAYmJiUhMTJTqv+Pj47P8JCQkSH6SkpKQmJiIpKQkJCcnIykpCYwxCNTKooa9l1Q1MQDtO3WFOPGH1M8jE6ekjBrTfSQtuH+SIWa4GPwJyWkZUBX9eTez4oYCZQkzZMgQPHjwAA4ODmjSpIlkD+DRo0dDIBBg+/btMl9qplSpUhg3bhzGjh2LGzduwNnZGZMnT8bcuXMxbtw4TJo0iXZzkVJAQMBvu+diY2Oxb98+TJs27bdhk5QsmWtSenl5wcnJKU+TMkqCzH3uraysFHKfe47jsHHjRgDApEmTwHFcnrdQ9fPzQ8+ePXM9LjktQ+rWvfOBH9Cm/XSkJMYjJSUFKSkpSE1NlfykpaUhPT1d8sP+29wpJyw1EUwszjXo/TxYjFrVtKAs0IKSkhKUlH62VP76p0AgkPz911ZKsbI6nkn5+ShmQFxyOgVKUrytWrUK/v7+GDx4MPz9/TFy5EiIxWJYWlqC4zhs27ZNLusXchyHjh07omPHjoiIiMDWrVuxc+dObNy4EX379oW9vT06d+6sMN1PiiYpKQlBQUG/ba3Yt28fkpKSYGNjw0NlRBFZWlpi8+bNuHDhAvr06cN3OQqlKOxz/2uozPydl7bez58/4/Xr12jbtm2ux8Ylp+caJv8tSoCHTwKB5Lgs3cBKSkoQiURQVVWFSCSCsrIyVFRUJH+qqqpKfkqVKoVSpUpBTU0N6urqUFNTg6qqKpSVlaGsrAyRSASBQICoqCi8ffsWERERCAsLQ1hYGBITEwH8HCfcoEEDGBkZwcjICE2aNMHWp2m48eZHjq2sQgGHrg2qYtuq51I+4ayS0zJg4Hheqn8vAQdoqJasiFWyni0BACgpKeHgwYNo1qwZBg4ciGvXrmH06NFgjGHs2LEQCATYunWrXBfFrlWrFlavXg1HR0fs378fmzdvhqmpKRo2bAg7OztYWFhAXV1dbtcvip4+fYqMjIxsSwYxxuDq6or+/fujWrVqPFVHFI2xsTEaN26MPXv2UKD8BStC+9xnhkrGGCZOnAiO4zBhwoRcH3fr1i0AkCpQaqgqQcBB6pAU++2LTFvdEhIS8PTpUzx69Aj+/v549OgRAgMDkZqaCgDQ09NDkyZNYGFhgaZNm6JJkyaoVKlStvNMrBSNa6/v5HgtsZjBqp1uvmtVFQnR1UALviFfpAiuWiWqdRKgQFliVa5cGUeOHEH79u0xbdo0bN26FWPGjIFYLMa4ceMgEAjg6uoq99ZCNTU1WFlZYdy4cbh+/TqcnZ0xceJEzJkzB1ZWVpg0aRJ0dHTkWkNRERAQACUlpWyTLK5cuYLnz59j27ZtPFVGFNWYMWMwc+ZMfPv2DRUqVOC7HF4lp2UgLjkdQY8f4vHjx1i5ciXfJUmF4zhs2rQJwL8tlLmFSj8/P+jo6KB69eq5nv/bl08oEx+JaNWq4IR/jgSyCEnR0dF49OiR5CcgIAAvX76EWCyGkpISGjZsiCZNmmD06NFo2rQpjI2NoaGhIdW5W+iUxzIzQyw8HphtPKjw/4F5mZlhgSfKWLWrjYtBn3M8pqDBtajimBSDHGJjY1GmTBnExMRINcCXFB07d+6EtbU1PDw8JDur7Nq1C+PHj8ekSZOwZcuWQu+CDg8Pl3SHx8bGol+/frC3t8dff/1VorvDrays8PDhzw/DXw0YMAAvX77Es2fPSvS/D8kuKioKVatWxYYNG2BnZ8d3Obx4EB6NXX5v/h0nyBjw/ikOLbVBS92iE7IZY5g6dSqcnZ2xbdu2HIe3tGzZEvXq1YOnp+cfj0lLS8OWLVvg6OiI0rrGUOk9B8Cf3z84AIdtWksVyBhj+PDhgyQ0ZgbIiIifSw+pqanB2NgYTZo0kfwYGhpCRUUl13Pn5mF4NHb5heFi8CeIGcDEYlRlUdgy0Uxms6697kVg4fFAMCYGuH978oQCDmIxwzIzQ1iY1JLJtfiWl/xHgZJg/Pjx8PT0xK1btyTrG+7YsQM2Njaws7PD5s2beQkqCQkJ8Pb2hrOzM4KCgmBoaAh7e3uMGDECampqhV4P3zK7e9zd3SW3RUZGQldXFy4uLgo9Hozwp3///oiMjIS/vz/fpRQ6z7sRWHQie4sVBwaAK3If/IwxTJkyBVu2bPljqExISECZMmXg6ur6x9B5/fp1TJo0CSEhIZg4cSKWLVuG0y9ift+6l0tIEovFCA0NzRYeo6KiAADlypWTvHdl/ujr60MolG93cGaL9PpVK7B1yya8f/9e6tZOaTwMj8bwpbuQUqkBOIEAAg7oZqANq3a6xWq5oDzlPyaFmJgYBoDFxMRIczgpYpKSkliLFi1YzZo1WVRUlOT2bdu2MQBsypQpTCwW81afWCxmly9fZn///TfjOI6VK1eOzZo1i4WHh/NWU2FLTk5mIpGIubq6Zrl93rx5TFNTk8XFxfFUGVF0x48fZwDYkydP+C6lUN0P+8Z05pxmtXL40Zlzmj0I+8Z3qXkiFouZnZ0dA8C2bduW5b6k1HR29Kwv45SUWWBgYLbHfvjwgY0YMYIBYK1bt2YBAQFZ7n8Q9o3ZeD5kunN//vvozj3NbDwfSv6NUlNT2ePHj9nu3buZvb09a9euHdPQ0GD4uRoPq1atGuvTpw9btGgRO3bsGAsPD+f1s4Mxxt69e8eEQiHbsmWLzM9duXJlxikpM+cdu1lSarrMz68I8pL/qIWSAADevn2LZs2aoVGjRjh//jyUlH6OpXFzc8PEiRMxbdo0rF+/nvcu1Tdv3mDr1q3YtWsX4uLiYGZmBnt7e3To0IH32uTJ398fzZs3x507dyQLFaekpKBGjRoYOnQonJ2dea6QKKq0tDRUq1YNI0eOxPr16/kup9DYeD2UevLENovf7zylqBhjsLe3h4uLC7Zv344m3QZm6dZnYjF6GFbB+Pa10VynPNLT0+Hi4oJFixZBRUUFa9askSwV9zvJaRn4HB2L8FchCHr6WNLq+OzZs2yTZX5tffzdZBlFMHToUDx69AghISEym2yanJwsWXJqx44dGD9+vEzOq2jykv9oUg4BANSoUQMHDx6EqakpFixYgFWrVgH4OQhcLBZj8uTJEAgEWLt2La/BrXbt2li3bh0WL14MLy8vODs746+//kKjRo1gb2+P4cOHK+S6cgXl7+8PoVAIY2NjyW2HDx9GVFRUvnfSICWDSCSChYUFvLy8sGrVqhKxJmVe1la8EPQR23d5oGK5MihTpgw0NTVRpsy//12qVCmF+7LKcZzkS+SMbcdRIawqhAKB5PlyAgF8n3/BxeDPGN1QFUfXTENgYCBsbW2xbNkylC+ftUs2Ojoajx8/ztJl/eLFi2yTZUaNGpXnyTKKwN7eHm3btsXFixfRo0cPmZzz3bt3AAChUCiT7YuLA2qhJFmsX78eDg4O8PHxkey4kpyWgU2u2zFv5jQ4TJuC1atXK8wbLGMMly9fhrOzM06fPo1y5crB2toatra2qFmzJt/lycyECRNw69YtPHv2THJb69atUbp0aVy6dInHykhR8PTpUxgbG+PkyZPo27cv3+XIXVRcClqs9JX6+LfOFn/cOUVJSem3QTMv/62hoSGXMYP3w75h8PY7QA7vx4wxVHi0BztXzkXTpk3zNFmmadOmaNiwoUwmy/CJMYYWLVqgcuXKOHv2rEzOeeXKFXTp0gXKyspYv349Jk+eLJPzKhpqoST5Nn36dNy/f//nEkIVasP3XeY3/Vqo5XAEu1/cwbe5TtjlNFchQiXHcTA1NYWpqSlCQ0Ph6uqKrVu3Yu3atejfvz/s7OzQvn17hai1IPz9/SUTpjL/fvfuXRw7dozHqkhR0ahRIzRp0gR79uwpEYFSQ1UJHH4O7MuNgANivn5CalICYmJiEBsbi5iYmD/+d+afERER2e7PqaWqdOnSBQ6mKioqWd7L3G+FQSgU5LxlIhjUmvTBvHnzskyWKV++PJo0aYJBgwZJwqOenp7cJ8vwgeM42NvbY/To0Xj58iX09fULfM7IyEgAP3sAqIXyJ2qhJNnEx8ej2ZCpSDEyy/ZmxYFBzICW3BscWmmnkEEtPj4e+/btg7OzM168eAFjY2PY29tj2LBhRbI7PDU1FRoaGli7di3s7e0BAGPHjsXly5cRGhoqGe9KSE6cnZ3h4OCADx8+oGLFinyXIzdPnjzB7Nmz4a/WDOp6JoDgzwFJlmMoGWNITEyUKpTm9N9JSUl/vIZIJPq31bNseXw3XZhl2Zo/1iYWw+i5B5o1biRpfaxZs6ZCvn/LS0pKCmrWrIkhQ4bIZMz5smXL4OrqiuTkZCxcuBAzZsyQQZWKh1ooSYGEfE1FSqP+AJDtmy8DB44D7rPasFmwBtuXz1K4N6XSpUtj4sSJmDBhAnx9feHs7Ixx48Zh1qxZku7wGjVq8F2m1IKDg5Gamippofz27RsOHDiARYsWUZgkUhs+fDgcHBywf/9+yReT4iQiIgILFy6El5cX6tati1nzrLH1hTDHVkpZLkDNcRzU1dWhrq6OqlWr5vs8aWlp2VpDf/ffX2KTcEWKMAn8HFO52+sfVNIo2l3XBaGiogJra2ts2rQJy5cvL3DjWGRkJGrWrInQ0FCkp6fLqMqiTX5765Eia5ffGwgFOYdEAQccC47B4sWLC6eofBAIBOjWrRtOnz6Nly9fwsLCAi4uLtDV1cXgwYPh5+cHKRroeefv7w+O4yQTcjw8PCAWi2FlZcVzZaQoqVixIvr06YM9e/bwXYpMRUdHw8HBAfXq1cPFixfh6uqKoKAgzBwzAMvMDMEB2d7PhAIOHGSzc4qsiUQiVKhQAbVr10bjxo3RsWNH9OvXDxYWFpg0aRLmzZuHVatWYevmDcjlbVqiJO4r/TsTJkxAcnKyTH4HMgOlkpISdXn/HwVKkkXm7MicxuQAP1sqS9dvg2UrV2HJkiWFVF3+6enpYdOmn4vbbtq0CU+ePEH79u3RrFkz7NmzB8nJyXyX+EcBAQGoX78+SpcujYyMDLi5uWHIkCEKu0QHUVxjxozBo0eP8OTJE75LKbCkpCSsWbMGderUwbZt2zB37ly8fv0atra2kpnsFia1cNimNbo20JKELwEHdG2ghcM2rYvUoub/lbmvdG5f/oUCDt0MtEvcvtK/U61aNQwcOBBbtmyBWCwu0LkyA6VQKKQWyv+jQEmyiEtOz3WpjUwMHIaNssTixYuxdOlS+RYmIxoaGpg8eTJCQkJw7tw5aGtrw9LSEjVq1MCCBQvw/v17vkvM5tcJOefOnUNYWFixnVFI5Ktnz56oXLky9u7dy3cp+ZaRkYE9e/agXr16mD9/PoYPH47Q0NCfWwiWLp3t+OY65bHNohmCl/TAg3mmCF7SA9ssmilcy2R+WLWrDXEub9gldV/pP7G3t8fr169x/vz5fJ+DMUYtlL9BgZJkoaGqJHU3ChOLcWDfbgCAo6MjdHR0MGnSJLi5ucHPzw/fv3+XY6UFIxAI0KNHD5w9exYvXrzAsGHDsHnzZujo6GDo0KG4ffu2QnSHp6en48mTJ2jatCkAwNXVFc2bN0fLli15rowURb+uSZmWlsZ3OXnCGMO5c+fQpEkTWFpawsTEBMHBwXB1dYWWllauj1cVCVFJQ6VYtdS10ClfJLv1+dSqVSs0b968QBNzoqOjkZiYSC2U/0GBkmQhdTcKB/Q0qoJXz4Nx/PhxdO7cGREREfDx8ZEs1VO+fHlUr14dPXv2xMyZM7Fv3z4EBATkOIuRD/r6+nB2dsb79++xYcMGBAQEoG3btmjRogX27duHlJQU3moLCQlBcnIymjVrJvlWPWnSJN7qIUXf6NGjERUVhXPnzvFditQePnyILl26oFevXihXrhzu3r2Lw4cPQ09Pj+/SeFecu/XlIXMJoQsXLuDFixf5OkfmkkGZLZQUKH+iQEmykaYbJV3MUA/vUadOHfz999+4fPkyFi9ejC9fvmDJkiV48uQJvL29MWrUKCgpKcHHxwejR49Gs2bNULp0adSrVw/m5uZYvHgxfHx88Pz5c95/KTU1NWFnZ4fnz5/j7NmzqFSpEkaPHo2aNWti0aJF+PDhQ6HXFBAQAABo3Lgxtm7digoVKmDIkCGFXgcpPho1aoSmTZsWick5oaGhGDp0KFq0aIEvX77g1KlTuHbtGkxMTPguTaEU5259eRg8eDAqV64MFxeXfD0+M1DWqFGDurx/QdO+SDYtdMpjoE4GDoUJIOQAMf5trRQKOIjFDDU+38b01U74HDgby5cvh5KSEhwdHSEWi7FgwQIoKytj5syZWc4bGxuL4OBgBAYG4tmzZwgMDMTWrVslC+2qqKigQYMGMDIygqGhIQwNDWFkZITq1asX6tJEAoEAPXv2RM+ePfHixQu4uLhg48aNcHJywqBBg2Bvbw8TE5NCqcnf3x/6+voQCoXYvXs3rK2ti+RamkSxjBkzBtOnT0dUVJRCTu6KiorCsmXLsG3bNlSuXBnu7u4YPXp0sVx0W5ZURcJi1aUvLyoqKpgwYQI2bNiA5cuXo0yZMnl6fGRkJFRUVFCpUiXq8v4Vk0JMTAwDwGJiYqQ5nBRxCQkJrFatWqyjuSWz8XzAdOeeZrXmnGa6c08zG8+H7EHYNyYWi9maNWuYQCBgnTt3Zp8/f2aMMSYWi9mCBQsYALZu3Tqprvf582d2+fJltmnTJmZlZcVMTEyYuro6w8+NLliZMmVY27ZtmY2NDXNxcWHXrl1jX79+lec/QTY/fvxgmzZtYnXq1GEAWIsWLZinpydLTk6W63XbtGnDhg4dynbs2ME4jmNhYWFyvR4pGaKiophIJGKbNm3iu5Qs4uPj2bJly5iGhgbT1NRkK1euZAkJCXyXRYqhDx8+MCUlpXz9Djg4OLC6desyxhgzNjZmkydPlnV5CiMv+Y8CJclmwYIFTFlZmb169YoxxlhSajr7EpvMklLTsx175coVVrlyZVatWjV2584dxtjPUDlv3jwGgG3YsCFfNWRkZLCwsDB28uRJtnLlSjZs2DBmZGTERCKRJGhWqVKFde3alU2fPp15eHiw+/fvs/j4+Pw/cSnrOn36NOvWrRsDwLS0tNiiRYvYhw8fZH6t9PR0pqamxtasWcOMjY1Z3759ZX4NUnINGDCANW7cmO8yGGOMpaWlse3bt7MqVaowkUjEpk6dyqKiovguixRzw4cPZ3Xq1GEZGRl5etzgwYNZ586dGWOMNW3alE2YMEEe5SkECpQk3169esWUlZXZggULpH7Mu3fvWOvWrZlIJGIuLi5MLBYzsVjMZs+ezQDItBUkNTWVBQYGsn/++YfNnz+f/f3336xOnTqM4zgGgHEcx+rUqcPMzMzYggUL2D///MOCgoJYamqqzGrIFBwczCZOnMjU1dWZSCRiw4cPZ3fv3pXZ+YOCgiT/fgDY+fPnZXZuQk6ePMkAsEePHvFWg1gsZseOHWP169dnANjw4cPZmzdveKuHlCx3795lANjp06fz9LhWrVqxMWPGMMYYa9myJRs/frw8ylMIFChJvojFYtazZ09Wq1atPHczpaSkMDs7OwaAWVhYsPj4eCYWi9nMmTMZAObs7Cynqn+Kj49n9+/fZ+7u7mzatGnM1NSUaWtrS1ozlZWVWaNGjdjw4cPZypUr2alTp1hYWBgTi8UFvvb379/Zhg0bWO3atRkA1rJlS+bl5cVSUlIKdF5PT08GgA0YMIDp6enl+Vs0ITlJTU1lWlpabOrUqbxc/9atW6xt27YMADM1NWX+/v681EFKtpYtW7Ju3brl6TFVq1ZlixYtYoz9HJZkaWkpj9IUAgVKki/Hjx9nANixY8fyfQ5vb2+mpqbGjIyM2MuXL5lYLGYzZsxgAJiLi4vsipVSVFQUu3r1KtuyZQuztrZmbdq0YZqampKgqaGhwVq1asWsrKzY5s2b2eXLl9mXL1/yda309HR28uRJZmpqygAwbW1ttnjxYvbx48d8nW/q1KmsVq1aTElJiW3cuDFf5yAkJzNmzGAVK1Ys8JefvHj+/Dnr378/A8CMjY3ZhQsXCu3ahPxX5hf34OBgqY5PSUlhHMexXbt2McYYa9++PRs5cqQ8S+QVBUqSZ5kTcXr06FHgVrtnz54xPT09pqmpyY4fP87EYjGbNm0aA8C2bt0qo4rzTywWs4iICHbmzBm2atUqZmFhwRo3bsyUlZUlQbNy5cqsc+fObMqUKWznzp3s7t27LC4uTuprBAUFsQkTJjA1NTUmEomYhYUFu3//vtSPT0pNZ2279GAGRsZMTU2Nff/+PR/PlJCcPX36lAFgx48fl/u1Pnz4wGxsbJhQKGS1atVinp6e1OpOeJecnMy0tLTYxIkTpTr+zZs3DAC7ePEiY4yxTp06seHDh8uzRF5RoCR5tnDhQqasrMxevnwpk/P9+PFD0goxZ84clpqayqZMmcIAsG3btsnkGrKWlpbGQkJC2KFDh9iiRYskXc2Z4zMBMF1dXda3b182d+5ctn//fvb06dMcW3eio6PZunXrmI6ODgPAWrVqxfbv3//Hx9wP+8asf5lZX3PWSdZi+g72IOybvJ42KeGaNWvGzMzM5Hb+2NhYtnDhQqampsbKlSvH1q9fz5KSkuR2PULyytHRkamrq0v1xf3atWsMAHv+/DljjDFTU1M2ePBgOVfIn7zkP46x3PeXi42NRZkyZRATEwNNTc28rUtEFN7r169haGgIBwcHLF++XGbnZYxh7dq1mDt3Lv766y/s378fK1aswJYtW7Bjxw6MHz9eZteSp8TERISEhCAwMDDLGpqZ+34rKSmhXr16knUzM//U0dGBQPBz74CMjAycPn0azs7OuHLlCqpUqQJbW1tYW1tLto3zvBuBRScCIRBwyPhlYXkhB4jZzy3UaNcLImsuLi6YNm0aPnz4INM1KVNTU7Fjxw4sXboUcXFxmDJlCubMmYOyZcvK7BqEyMLHjx9Rq1YtrF69GtOmTcvxWE9PT4waNQoJCQlQU1NDz549oa6uDh8fn0KqtnDlJf9RoCzhGGPo06cPAgMDERISAjU1NZlf4+rVqxg6dCiUlZVx+PBheHl5wdXVFbt27cK4ceNkfr3CEh0djaCgIEnAzAybP378AACoqamhYcOGWUKmoaEhoqKi4Orqin379iEjIwNDhw5F1+ETsPBaNHL6ZeQAHLZpTbtfEJn69u0bqlSpgjVr1mDq1KkFPh9jDIcPH8a8efPw5s0bjB49GkuXLkWNGjUKXiwhcmJhYYE7d+7g5cuXOS6gv2LFCmzatEmyIUefPn2gpKSE48ePF1KlhSsv+Y92yinhTp06hbNnz+Lo0aNyCZMA0KlTJwQEBGDQoEHo0KEDNm7ciAkTJmD8+PHgOA5jx46Vy3XlrXz58mjfvj3at28vuY0xhg8fPmQJmY8fP8b+/fuRnJwMAKhQoQKMjIwwYsQIfP/+HRcuXMDZuOpQ1zMBBH9+IxMIOOzyC6NASWSqQoUK6NevH/bs2VPgQHnt2jXMmjULDx48QK9evXDs2DEYGRnJplBC5Mje3h7e3t44e/Ys+vbt+8fjIiMjUbNmTcnfaS/vf1ELZQmWlJQEAwMD1K9fH2fPnpX7VoKpqalwcHDAli1bMGLECKiqqsLDwwMeHh4YM2aMXK/Nt4yMDISGhmbrNn/58iWYQAk1pvuA+3/3eE4EHBC8pAdtr0Zk6syZM+jTpw8ePXqExo0b5/nxz549w5w5c3D27Fm0aNECa9aswV9//SXzOgmRp1atWkFDQwOXLl364zE9e/aEqqoqjh07BgAYOHAgEhIScO7cucIqs1BRCyWRyqpVq/DhwwdcvHixUPalVlZWhrOzM1q1aoXx48ejTp06GDx4MMaOHQuBQIBRo0bJvQa+CIVC6OvrQ19fH/3798eHDx/w8uVLBAcHw+/hE9yRIkwCP8dSxiWnU6AkMtW9e3doaWlhz5492LRpk9SPe/v2LRYtWoS9e/eidu3aOHjwIAYNGlQo7yeEyJq9vT1GjBiB4OBgGBgY/PaYyMhImJqaSv5Oe3n/S7pPMVLshIaGYvXq1XBwcICenl6hXnv48OG4d+8ekpOTce7cOZiammLMmDHw8vIq1DrkiTGGT58+4ebNm/Dw8MDcuXMxcOBAGBsbo3Tp0qhevTo6d+4Me3t73PW7DjCxVOcVcICGKn0PJLKlpKSEkSNHwtvbG7EJSYiKS0FyWsYfj//x4wdmz54NfX19nDlzBs7OzggODsbgwYMpTJIia+DAgdDW1oaLi8tv72eM/bbLOyPjz78rJQl9MpVQU6ZMgZaWFubNm8fL9Q0NDfHgwQNYWlri2LFjaNSoEUaNGgWO4zBixAheasorxhi+fv2KV69eZft5/fo14uLiAAAcx6FGjRrQ09NDmzZtMHr0aOjp6UFPTw+6urpQUVGBjddD+IZ8yTK7+7+EAg5dG2hR6ySRi+Y9h2BPqDKMl18GAwcBB3Q10ML4drUl43aTk5Ph6uqKFStWICUlBTNnzoSDgwMNhSLFgrKyMmxtbbF69WqsXLky24oEP378QHx8fJZASS2U/6JAWQKdOnUKZ86cwZEjR6Curs5bHWXKlMGRI0ckSwtpa2tj5MiREAgEGDZsmOS45LQMxCWnQ0NViZcw9f3799+GxlevXklmdANA1apVoaenh+bNm2PYsGGS0Fi7dm2UKlUqx2tYtauNi0GfczxGLGawaqcri6dESBaedyOw6NJnqOuZgOFnC6OYAb4hX3Ax6DOW9msILtQPCxYswLt37zBu3DgsXrwYVapU4blyQmTLxsYGy5cvh4eHB6ZPn57lvsjISACgFso/oEk5JUzmRJx69erh3LlzCtM9deXKFQwdOhQJCQlISkrCgQMHUNukK3b5vcGl4M8QM/y2xURWYmNj/xgav337JjlOS0tLEhR//albt26Bw7nXvQgsPP6bdSgFHMRiRutQErl4EB6Nwdvv5LhkFRjDJ69Z6NmiHpycnFC/fv3CKo+QQjdq1Cj4+fnh1atXWZYQOnXqFPr164cPHz5IvkxZW1vjyZMnuHfvHl/lyhVNyiF/tHr1arx//x4XLlxQmDAJAJ07d0ZAQAAGDhyIBw8eYPzqfSjfXR1CgQCZ2erXFpP8hKuEhAS8fv36t6Hx8+d/WwcrVKggmUDTu3fvLKFRnl+oLExqob6WBnb5heFi8Kd/Q3QDLVi106Xlgohc7PJ7k+1LTDZMjL4zN+LwlO6FVxghPLGzs4OnpyfOnDmDfv36SW6PjIyESCSSbEYBUJf3ryhQliChoaFYtWoVZs6cCX19fb7LyaZ69eq4ceMGxsxchlulTABk/5DL/PvC44Gor6WRLWQlJSUhNDT0t6Hxw4cPkuPKli0rCYpdunTJ0tpYrlw5uT/XP2muUx7Ndcrz3s1PSobktAxJD0COBEL4f05HcloGvR5JsdeiRQu0atUKzs7O2QJljRo1JDugAdTl/SsKlCXI1KlTUblyZd4m4khDWVkZGi3+hjDoE3Ka9yzggGWHb6Oj8CVevnwpCY3v3r1D5igODQ0NSUhs3759ltBYoUIFhWqh/S9VkZA+uIncxSWn5x4m/4+WrCIlib29PYYPH46goCA0bNgQQPZFzQFqofwVBcoS4tSpUzh9+jR8fHx4nYiTG0mLCXIOexkMePyVwddtKerq1oKenh5GjBgBPT096OvrQ09PD5UrV1bo0EgIn8RiMR7euQkwBkjxe0JLVpGSxNzcHFWqVMGWLVuwbds2AD8DZd26dbMcRy2U/6J3hxIgKSkJU6ZMQbdu3TBgwAC+y8lRXlpMOIEAYe8+obKmqnyLIqQYiYyMxJ49e7B7926Eh4dDd+RKsGpGktndv0NLVpGSJnMJIScnJzg5OaFcuXKIjIxE586dsxxHLZT/ooXNS4A1a9bg3bt32LJli8K32GmoKkEgZYkCDtAsJZJvQYQUAykpKTh06BB69OgBHR0drFmzBp07d8atW7fwzxJrILceAbGYlqwiJY61tTUyMjLg7u6OtLQ0fPjwIVuXN+3l/S8KlMXcmzdv4OTkBAcHB4WciPNfL4IDIfocApaR8y+oUMChm4E2tZgQkoOnT59iypQpqFq1KoYMGYK4uDjs2rULnz59gru7O9q0aYOWuhWwzMwQHADBfxYPEgo4AAzfzm/FBW83Xp4DIXzR0tLC0KFD4eLigrdv30IsFv82UFKX908UKIu5zIk48+fP57uUHCUmJmL27Nlo1qwZBK+ugRPmPBqDFvkm5Pd+/PgBNzc3tGjRAsbGxvjnn38wbtw4hISE4NatWxg7dixKly6d5TEWJrVw2KY1yiW+lWwDmrlklY9NG8wa0BoLFizA2rVr+XhKhPDG3t4eERER+OeffwCAJuXkgMZQFmOnT5/GqVOnFH4izvnz52Fra4uPHz9i6dKlcHBwwKFHH3Nd5JvWZSTkJ7FYjOvXr8Pd3R1HjhxBWloaevXqhePHj6NXr14QiXIfGtKsVjl8PrICg4eNwNxFS7MsWdV84UKkpqZi1qxZUFZWxpQpU+T9lAhRCM2aNUObNm3g7e0NAKhRo0aW+6mF8l8UKIuppKQk2Nvbo2vXrgo7Eefz58+YOnUq/vnnH3Tp0gWXLl2SzKCjRb5JSZTX9UffvXsnmWDz5s0b6OvrY/HixRg1alSet0UMCwvD+/fv0alDO1TSUMl2/9KlS5GSkoKpU6dKJiwQUhLY29tj6NCh0NTUzNa6Ty2U/6JAWUxlTsRRpO0VM4nFYri7u2PWrFlQUlLCvn37YGFhka1OWuSblBQPwqOl3mY0NTUVJ0+ehLu7Oy5evAhVVVUMHjwYe/fuRdu2bfP9+37jxg1wHId27dr99n6O47B69WqkpqZi4sSJUFZWxrhx4/J1LUKKkgEDBkBNTe23Lf3UQvkvCpTF0Js3b7Bq1SrMmDED9erV47ucLEJCQmBtbQ0/Pz+MGTMGa9euRcWKFXN8DC3yTYozz7sRWHTi5/COnLYZDQwMhLu7O7y8vPD161e0bt0a27dvx5AhQ6ChoVHgOm7cuIFGjRrluFMUx3HYuHEjUlNTMX78eIhEIowaNarA1yZEkYlEIlSvXh2hoaGIjo5G+fL/fsmjWd7/okBZDE2dOhUVK1bEggUL+C5FIjk5GStXrsSqVaugo6ODK1euoFOnTnyXRQivHoRHY9GJQDDgj9uMLjj+DOsWTMcT36OoVKkSRo8ejbFjx8LAwECmtdy4cQO9evXK9TiO4+Di4oLU1FRYWlpCWVkZQ4cOlWkthCgagUAAxhjc3d0xc+ZMye3U5f0vCpTFzJkzZ3Dq1CkcPnxYYSbiXL16FRMmTEBYWBjmzJmDefPmQVWVFiMnZJffm2wTz/6LZWRArNcRRydaoHfv3lBWVpZ5He/fv0doaCg6dOgg1fECgQA7duxAamoqLCwsIBKJYG5uLvO6CFEUHz58QJMmTeDi4oJp06ZBSelnfKIu73/RskHFSHJyMuzt7WFqaqoQb+7fvn2DpaUlOnfujMqVK+Px48dYunQphUlC8O82ozmFSQDghEqIL1sHPfv0k0uYBH62TgJA+/btpX6MQCDA7t27MWjQIAwdOhSnTp2SS22E8C0mJgaxsbEwNzdHZGRkltc6tVD+iwJlMbJmzRq8ffuW9x1xGGPw9PRE/fr1cfz4cezYsQPXr1+XeRcdIUVZXrYZFTNg114v3Lt3DzExMTKv5caNG6hXrx60tLTy9DihUIh9+/bh77//xsCBA3H+/HmZ10YI3yIjIwEAf/31F9q2bQtnZ2fJfZktlWKxmJfaFAl1eRcTYWFhcHJywvTp01G/fn3e6nj9+jUmTJiAy5cvY+jQodi4cSO0tbV5q4cQRZW5zahUoZKJYW9rDZaeCgCoWrUq6tevjwYNGmT50dbWzteXyRs3bqBjx455fhzwc8LC/v37MXDgQJiZmeH06dMwNTXN17kIUUSZgbJmzZqwt7fHkCFD8PTpUzRq1EgSKNPT0+XWg1BUUAtlMcH3RJzU1FSsXLkSRkZGCA0Nxblz53DgwAEKk4T8gapIiK4GWv/f3vDPhAIOPQyrIu5HNPz9/eHl5YWxY8eiXLlyuHr1KqZNm4YuXbqgatWqKFeuHFq3bo2xY8di7dq1OH36NEJDQ3Mc4xUVFYXg4GCpx0/+jrKyMg4fPoxOnTqhX79+uH79er7PRYiiiYyMhJKSErS1tdG/f39Uq1YNW7ZsAfCzlR4AdXuDWiiLhTNnzuDkyZM4dOhQtkVXC8Pt27dhbW2N58+fY8aMGVi0aJHCTAgiRJFZtauNi0Gfczwmc5tRdXV1NG3aFE2bNs1yf1paGt68eYOQkBDJz7Nnz3D48GHEx8cDAFRUVFCvXr1srZr6+vq4efMmABQoUGZe4+jRo+jXrx969+6NCxcuoG3btpL7aT1ZUlS9ffsW1atXh1AohFAoxMSJE7Fs2TKsWrVK0kJJE3MAjjGWa4dLbGwsypQpg5iYGGhqahZGXURKycnJaNiwIXR1dXHp0qVCHTv548cPzJ07F9u2bUPLli2xY8cOGBsbF9r1CSkOvO5F/HabUQH3c+mg0s9Pw2+3U47rQ/4OYwzv3r3LEjSfP3+OkJCQ/7V353Exrv0fwD8zrSRCiETRKVGJbJFd9uzLsW8dWVrsx5bszuHYsoUsiayHKErIFqEsiRDas7XQon3m+v3h1zwHqalm5p7q+369ej3nydz39S1j5jPXik+fPn1rg8+Huro6cnNzYWdn913YrFGjRql+nszMTPTv3x+PHj3C1atXwaurL/am7YTIo/HjxyMuLk7U856YmAgdHR2sWrUK+vr6GDFiBFJSUkr8b7Q8KEn+o0BZzq1ZswZr1qzB06dPZTZ3kjGG06dPw9HREV+/fsX69esxc+ZMUdc/IaRkQqJTfjpmtHdzLXTTEsDu9/7Q1dXFlStXJPaGlZycLAqXy5Ytg5KSEpSUlBATE4OCt4T69evDyMjop17N+vXrF/vBNSMjA3369MEb1EeVLlOg8ENYVuDzIBQy0abthMizLl26oHHjxvDw8BB9b+rUqbh69So2btmGcZOmIebNKzSsX5fDKqWDAmUlER0dDSMjIzg4OODvv/+WSZsxMTGYNWsWLl26hKFDh8LFxQUNGzaUSduEVHSFDQuHhoaiZ8+eEg+VwLftUGrWrAk3NzdMnToVmZmZePXq1U+9mhEREcjLywMA1KhRo9AFQXp6et99qLz+LBZTjj4FigifPACnbS2op5LINV1dXYwbNw7r1q0Tfe+Y/z3McfWGmqEFAF6F7XkvSf6jOZTl2Jw5c1C7dm04OTlJva38/Hxs374dK1asQM2aNeHl5YXBgwdLvV1CKpPCjhlt2bIlrl27hp49e6JXr164evWqxEJlYGAgGGOi+ZNVq1ZFq1at0KpVq+8el5+f/9M8zefPn+PMmTPfzdM0MDAQBcxgVTPw+UpFrmLn83lwC4yqUG/ApGIRCASIj49Ho0aNRN/zuBeDFdeTofZbe3z7WFT4camVDQXKcurSpUs4f/48Tp48KfWFOCEhIZg+fTqePHkCe3t7rF27ViJnBxNCxNOyZUsEBASgR48eEg2Vt27dQv369dG0adMiH6eoqAgDAwMYGBh890GSMYaEhITvguaLFy9wM/AuVMbvBq+YfUQEQgb/8A/IzhPQQh0il96/fw+BQCAKlP89LhX875+zBdM6nLyeoVk99Ur3QYkCZTlUcCJOjx49MHLkSKm1k56eDicnJ+zYsQOmpqa4f/8+2rZtK7X2CCG/ZmpqKvFQeevWLXTp0qXUi/l4PB4aNmyIhg0bwsrKSvT9xPQctF1/Vax7CNm3Td4pUBJ59N89KAHxjkutrD3vtA9lOfTPP/8gJiYGO3fulNqq7gsXLqB58+bYv38//v77bwQHB1OYJIRjBaEyJiYGvXr1QkpKSqnv9fXrV4SEhJR6Q/OifEqIAYqfng/g2wIkdVXq2yDyqSBQ6ujoiH1c6n973isTCpTlTHR0NNatW4e5c+fCyMhI4vdPSEjA8OHDMXjwYJiYmOD58+dYsGCBaK8tQgi3CkJlbGwsrKysSh0q7927h/z8/DLvP/lfcXFx+OOPP9DSuDmEsY/BR9FvvAp8Hno316LeSSK3YmNjUaNGDVSvXr3Ex6WmZ1euzc4pUJYzc+fOlcpCHIFAgF27dsHIyAh37tzBiRMncPHiRejq6kq0HUJI2ZmamuLatWtlCpU3b95E7dq1JfLB9OPHj3B0dIS+vj68vLywceNGeDrbgKHoEZSCTdsJkVexsbGi4e6C41LFURl73ilQliO+vr7w8vLC5s2bJboo5unTp+jUqRPs7OwwduxYvHjxAqNHj5bpJumEkJL5b6gszfD3rVu30LlzZ/D5pX8b+Pz5M5YuXYomTZrA3d0dTk5OiIyMxLx582BpWB9rhhiDB/x0vKQCnwcegDVDjCvdPDNSvvw3UJbkuNTK2PNOgbKcyMnJES3EGTVqlETumZmZicWLF8Pc3Bzp6ekIDAyEq6trhdztn5CKqGD4Oy4urkShMicnB/fu3Sv1cHd6ejrWrl0LPT09bN++HY6OjoiMjMTy5cu/+7A7vn1jnLa1gJVRPTChEMD/n5RjVA+nbS0q5dYqpHz5b6AEvh2XWtwcysra806Bspz4559/EB0dLbGFOJcvX4axsTG2bduGlStX4vHjx9+du0sIKR9MTExKHCqDg4ORk5NT4gU52dnZ2Lp1K5o2bYo1a9Zg0qRJiIyMxPr161GrVuE9jW10a8F1vDlyj83G2CpPEb6qL1zHm1PPJCkXfgyUmiwV2bcPAYxRz/sPKFCWAzExMVi3bh3mzJlT5vlOHz9+xNixY9G3b1/o6ekhLCwMy5Ytg7KysoSqJYTIWklD5a1bt6Curo6WLVuKdf+8vDzs3bsX+vr6WLhwIQYPHozXr19j+/btqFevnlj3UFVSAC8no9INA5LyKz09HZ8/fxYFyszMTAwbNgxq7x/j4FhjWBnVE82ppJ532oeyXJg7dy5q1qyJFStWlPoeQqEQBw8exKJFi8Dn8+Hu7o4JEybQPElCKoiCUPnffSp/1Wt48+ZNWFpafndUYmEEAgGOHz8OZ2dnREVFYcyYMVi5ciV+++23EtdXpUoVZGdnl/g6QrjyJioG/Koa0NLWAWMMM2bMwKtXrxAUFISWprroYapb6HGplRX1UMo5Pz8/nDt3rkwLcV68eIFu3brhjz/+wKBBg/Dy5UtMnDiRwiQhFYw4PZX5+fm4c+dOkfMnGWM4e/YsTE1NMWHCBJiYmCA0NBTHjh0rVZgEAFVVVWRlZZXqWkJkKTg6BbZHQzDseAx0HI7C5nIarFafxqmAEOzfv/+7nn1VJQXUUVep9GESoEAp13JycmBvb4/u3btj9OjRJb4+Ozsbzs7OaNmyJT58+IBr167h8OHD0NTUlEK1hBB5YGJiguvXrxcaKrPzBLge9BCZOXmFBkrGGPz8/NC2bVsMHz4c2trauH//Pry8vGBiYlKmulRVVamHksg9j3sxGLU3CFdffBLtoipkwOuvKtAavxFM35LT+uQZDXnLsc2bNyM6Ohrnz58vcW/ijRs3YGtri6ioKPz5559YtmwZVFVVpVQpIUSeGBsb4/r16+jevTt69uyJTYfP4nRYMq6Ef4SQATrzzuDQG0UoN0gRLR64ffs2li1bhtu3b6NTp064ceOGRE/RoSFvIu/+e073jyu5eQrf4lJlPadbHNRDKadiYmKwdu1azJkzB82bNxf7uuTkZEydOhXdu3dHnTp18OTJE6xZs4bCJCGVTEGo/KhuAJvjz3H1/8MkAPD4fAS8SsLIvUFYd+oW+vbtiy5duiAjIwOXLl3C7du3JX4kIw15E3lXcE53UQrO6SY/ox5KOTVv3rwSLcRhjOHYsWOYO3euaEWmjY1NmTYtJoSUb1nVGkC500QAgOCHrfMKemD2PUqDagYfp0+fxrBhw6T2mqGqqorMzEyp3JuQsio4p7u4oxX/e043zZv8HqUNOXT58mWcPXsW//zzj1gLcd6+fYs+ffpgwoQJ6NmzJ16+fInp06dTmCSkknMLjCz+VA8e0M12NUaMGCHV1wwa8ibyjM7pLjtKHHKmYCFOt27d8Pvvvxf52Ly8PGzYsAHGxsaIiIjApUuXcOLECWhpacmoWkKIvCrocSn2VA/wcOXFR2TnCaRaDw15E3mUmZkJT09PjB05VHSaU3Eq4znd4qBAKWc2b96MqKioYk/ECQoKQuvWreHk5AR7e3s8f/4c/fr1k2GlhBB5Jm89LrTKm8gLoVCIW7duYdq0adDS0sK4ceOQ/TUdzdRz6JzuMqBAKUdiY2Oxdu1aODo6okWLFoU+5suXL5g5cyY6deqEKlWqICQkBBs3boSampqMqyWEyDN1VUUU894oIoseFxryJlx7+/YtVq5cCX19fXTt2hXXr1/HvHnz8ObNG9y+fRtrx/eAkM7pLjXqs5Uj8+bNg4aGBpydnX/6M8YYzpw5AwcHB2RkZGD79u2YNWtWsSddEEIqJ1UlBVg1r4erLz4VOeytwAOsZNDjQkPehAupqak4ffo03N3dERgYCHV1dYwaNQqTJk1Cp06dvps33Fa3FtYMMYaT1zPw+bzv/t0o8HkQClmlPadbHBQo5YS/vz/+/fdfeHp6/rQQJyYmBrNnz8bFixcxZMgQ7NixAw0bNuSoUkJIeWFj2QT+zz8W+RiBkKF/U+lvK0ZD3kRW8vPzcfXqVbi7u8PLywu5ubmwsrKCp6cnBg8ejKpVq/7y2vHtG6NZPXW4BUbB79l7gMcTndNtY6lHYbIIFCjlQMFCnK5du363ECc/Px8uLi5YsWIFNDQ0cO7cOQwZMoS7Qgkh5UpxPS4CIQP/0WnYeV5H84AA6OvrS60WGvIm0hYWFoYjR47g6NGj+PDhA1q0aIHVq1dj3LhxaNCggdj3aaNbC210a2HRkuU47eWN8KePaM6kGChQyoEtW7bg7du3+Pfff0ULcR4+fIjp06fj8ePHsLOzw9q1a1G9enWOKyWElDf/7XHxD/8AIcN3PS4NlFuhR48e6NKlCwICAtCsWTOp1EFD3kQaEhMT4enpCXd3dzx+/Bi1a9fG2LFjMWnSJLRu3brEp8z9V41qVfA1+T2FSTFRoORIdp4A6dn5+JL4XrQQx9jYGBkZGXBycoKLiwtMTExw7949tGvXjutyCSHlWEGPS8Hrjrqq4ndvkjdv3kTPnj3RtWtXXLt2DcbGxhKvQVVVFXl5eRAIBDT3m5RJTk4OfHx84O7uDl9fX/B4PAwcOBDOzs7o168flJWVJdJOtWrV8PXrV4ncqzKgQCljwdEpcAuM/N+O/EyIWoP+xKBpU+Dt7Y3Zs2cjKSkJf/31F+bMmQMlJSWuSyaEVBCqSgqF9rbUq1cP169fh5WVFbp3746rV6+iZcuWEm27SpUqAL6FgaLmsBFSGMYYHjx4AHd3d5w4cQKfP39G27ZtsW3bNvz++++oXbu2xNtUU1NDZmYmhEIhHRQiBgqUMuRxLwYrzn+byySaysTjQ1G3NSYdCUXy5T2wbNECu3fvhp4ebUtACJGdOnXqICAgAL1790b37t3h7++PNm3aSOz+qqrfFv5kZWVRoCRii4uLg4eHB44cOYJXr15BW1sbtra2mDhxIoyMjKTadsF2fJmZmahWrZpU26oIKFDKSHB0ClacfwYG/LSFBwMP4AG1+87CalsL6OlK/pMWIYQUp1atWrh69Sr69euHnj174vLly+jQoYNE7l0QKGlhDilORkYGzp49iyNHjiAgIABVqlTBsGHDsHPnTnTv3l1mUyYKQuTXr18pUIqB+nBlxC0wEvxid+Dn40BgtGwKIoSQQmhoaMDf3x+mpqawsrJCYGCgRO5bMORNgZIURigUIiAgAJMnT4aWlhYmTZoEgUCAgwcP4sOHD/Dw8ECvXr1kOv+2oIeS5lGKh3ooZaDgTN3ijkETCBn8wz8gO09Aq8oIIZxRV1eHn58frK2t0adPH/j4+KB79+5luud/h7wJKRAREYEjR47Aw8MDsbGx0NfXx59//okJEyZAV1eX09oKAmVGRgandZQX1EMpAyU9U/f+o1AwJuYFhBAiBWpqavDx8YGlpSX69+8Pf3//Mt2PhrxJgc+fP8PV1RUWFhYwNDTEzp070bdvX9y5cwcRERFwcnLiPEwC3w95k+JRoJSBkpypy4RCdLe0gK6uLmbPng1fX196ASaEcKJq1ao4f/48evbsCWtra1y8eLHU96Ih78otLy8PPj4+GDlyJLS0tGBnZ4datWrh5MmT+PDhA/bu3YuOHTuWad9ISaMh75KhQCkDBWfqKhQ7h5KHPi3q4fIlHwwePBiXLl1C//79Ubt2bQwZMgQHDhzAhw8fZFQ1IYR861k8e/Ys+vfvj6FDh+LcuXOlvg9AQ96VzZMnTzB37lw0bNgQ1tbWiIiIwIYNGxAfH4+LFy9i1KhRoueGvKEh75KhQCkjNpZNICxm3FsoZJjeRR9WVlZwcXFBZGQknj17BicnJyQlJWH69OmoX78+2rVrhzVr1uDx48c0NE4IkTplZWWcOnUKQ4cOxciRI3Hq1KkS34OGvCuPDx8+YPPmzWjZsiVatWoFT09PjBs3Do8fP0ZoaCjmzZsHLS0trsssFg15lwwFShkpOFMXYGCC/O/+TIHPAw/AmiHG3x08z+Px0KJFCyxevBiBgYH4+PEjjhw5Al1dXWzatAmtW7eGjo4OZsyYgYsXL9Inf0KI1CgpKeHYsWP4/fffMWbMGBw7dqxE11OgrNiys7Nx8uRJDBgwAA0bNsTSpUthaGgIb29vxMfHY8uWLTAzM+O6zBJRVVUFj8ejQCkmWuUtQ+PbN8bBLWvxoYYRsjUNfzpT979hsjCampqYMGECJkyYgNzcXNy+fRve3t7w9vbG3r17UaVKFfTq1QsDBw7EwIED0aBBAxn9ZISQykBRURHu7u5QUlISvQ5NmTJFrGtpDmXFwxjD3bt3ceTIEZw8eRKpqamwsLDAzp07MXr0aNSsWZPrEsuEx+NBTU2NhrzFRIFShrKzs3HfxxMrVqyA47y+hZ6pKy5lZWX07NkTPXv2xNatW/Hy5Uv4+PjA29sbM2fOhK2tLczNzTFw4EBYW1ujVatWdHQUIaTMFBQUcODAAaioqGDq1KnIzc2Fra1tsdcpKSmBx+PRSEoFEB0djSNHjuDIkSN4+/YtGjVqBDs7O0ycOBEGBgZclydRdJ63+ChQytDt27eRmZmJfv36/fJM3dLg8XgwMjKCkZERFi5ciJSUFPj6+sLb2xvbtm3DqlWrUL9+fVHPZa9evejoM0JIqfH5fOzZswfKysqYMWMGcnNzYW9vX+Q1PB4Pqqqq1ENZTqWnp+PMmTNwd3fHzZs3oaamhhEjRmD//v3o2rVrhe2wUFNTo0ApJgqUMuTn5wdtbW2YmJhItZ1atWph3LhxGDduHPLy8hAYGCjqvdy/fz9UVVXRo0cPWFtbY+DAgWjYsKFU6yGEVDw8Hg/bt2+HsrIyHBwckJubi/nz5xd5TZUqVShQliMCgQABAQFwd3fH2bNnkZ2djR49euDIkSMYNmyYaBV0RUZD3uKjQClDvr6+6Nu3r0z32VJSUkL37t3RvXt3bN68GREREfD29oaPjw/s7Owwc+ZMmJmZicJlmzZtKuwnTUKIZPF4PGzatAkqKipYsGABcnJysHTp0l8+XlVVlYa8y4EXL17A3d0dR48eRUJCAgwNDeHk5ITx48dDR0eH6/JkinooxUeBUkZiYmLw4sULrFmzhtM6DAwMMH/+fMyfPx+fP3+Gn58ffHx8sHPnTqxZswb16tXDgAEDYG1tDSsrq0rxCZQQUno8Hg9r166FiooKli1bhtzcXDg7Oxf6wZmGvOVXcnIyjh8/jiNHjiA4OBg1a9bEmDFjMHHiRLRr106uNhyXJZpDKT4KlDLi6+sLRUVF9OrVi+tSRApeMMaMGYP8/HzcvXtX1Ht58OBBqKiooHv37qLey0aNGnFdMiFEDvF4PKxYsQLKyspYsmQJcnNzsW7dup9CCA15y5fc3FxcunQJ7u7uuHjxIhhj6N+/P86cOYOBAwdCRUWF6xI5Rz2U4qNAKSO+vr7o2LEjatSowXUphVJUVESXLl3QpUsXbNq0CW/evBGFS0dHR8yePRumpqaiVeNt27aFgoJkFhURQiqGxYsXQ1lZGfPnz0dOTg7++eef70IlDXlzjzGGhw8fwt3dHcePH0dycjJatWqFTZs2YcyYMahbty7XJcoVNTU1pKSkcF1GuUCBUgZycnJw7do1LF++nOtSxKavr4+5c+di7ty5+PLlC/z9/eHt7Q1XV1esX78ederU+W5oXF1dneuSCSFyYN68eVBWVoa9vT1yc3Oxfft20bxslarVkJbLkJ0nkNguF5VRdp6gxNvOJSQk4NixY3B3d0d4eDi0tLQwZcoUTJw4UeoLRcszGvIWHwVKGQgMDMTXr1/Rt29frkspFQ0NDYwaNQqjRo2CQCBAUFCQaNX44cOHoaysjG7duol6L3V1dbkumRDCITs7O9GWQjk5OZi2eD0O3o1GQsf5SODx0dzZD1bN6+EPyybFHuhA/ic4OgVugZG4Ev7xfwdjFPF7zMzMhJeXF9zd3XH16lUoKytjyJAh2Lx5M3r16gVFRYoAxaEhb/HxmBiHQaelpaFGjRpITU1F9erVZVFXhbJgwQJ4enoiISGhwk1sjoyMFIXLmzdvIi8vDy1atIC1tTWsra3Rvn17GhonpJI6fPgwHFxOo1bvmVBQ4EMg/N/bjQKfB6GQYc0QY4xv35jDKssHj3sxWHH+Gfh8XpG/R6FQiMDAQLi7u+P06dNIT0+HpaUlJk2ahJEjR8rttCt5tWLFChw6dAhxcXFcl8KJkuQ/CpQy0KJFC7Rv3x4HDx7kuhSpSktLg7+/P3x8fHDx4kUkJSVBU1MT/fv3x8CBA9GnTx96/hBSiQRHp2Dk3rsAfv1BmgfgtK0F9VQWITg6BaP2BqG4N+t+iuHwO7ob0dHR0NPTw8SJEzFhwgQ0bdpUJnVWRBs3bsRff/1VaedRliT/UX+3lMXGxiI8PBwrV67kuhSpq169OkaMGIERI0ZAIBDg/v37ot7LI0eOQElJCV26dBGtGqcXOUIqNrfASCjwv++Z/BGfz4NbYBQFyiK4BUb+1DP5IybIx/k36ejfsycmTpwIS0tL2lNYAmjIW3zUQylle/fuxezZs5GUlAQNDQ2uy+FMdHQ0fHx84OPjg+vXryM3NxdGRkaicGlhYUHzeQipQLLzBGju7IciMtD/MCFqXVsLPhOIpgXxeLwy/bck7iEPbQrAx616QwExpkvxeUD4qr604EmCDh8+jClTpiA3NxdKSkpclyNz1EMpR/z8/GBhYVGpwyQA6Orqws7ODnZ2dkhPT8fVq1dFi3o2btyIWrVqoV+/frC2tkafPn0q/e+LkPIuPTtfvDAJADw+zNp2gLIwB8C3rW0K+jrk7b+FQqFM2ir4//mKVQEt8ebeC9m33zsFSsmpVq0aAODr16/0vlQMCpRSlJubi6tXr2LJkiVclyJX1NXVMXToUAwdOhRCoRDBwcGiPS+PHTsGRUVFdO7cWbRq/LfffuO6ZEJICamrKoLPg1ihks8Ddm/fQkGoECXp6eXzvv3eieQUnBZHgbJ4NMFCiu7cuYOMjAz069eP61LkFp/PR/v27bF27Vo8efIEMTExcHFxgaqqKpYuXQoDAwM0a9YMCxYswM2bN5Gfn891yYQQMagqKcCqeT0o8IvuXVPg89C7uRaFyV9QVVKAlVE98IpZksME+aieFoXED+9kVFnlUBAoMzIyOK5E/lGglCJfX19oaWnBzMyM61LKjUaNGmHmzJm4dOkSkpOT4eXlBUtLSxw7dgzdunVDnTp1MHbsWHh6euLz589cl0sIKYKNZRMIi+laEwoZbCz1ZFRR+ZOTk4OPt44X20PJU1DAp9snYWRkhE2bNiEvL082BVZw/x3yJkWjQClFvr6+6Nu3b4Xbe1JW1NTUMHjwYLi5uSEhIQEPHjyAg4MDXr58iXHjxqFOnTro1q0b/vnnH7x69Uo054gQIh/a6tbCmiHG4AE/9VTy2Le5iDPb1qQV3r+QlJSEXr16wc9jFwZrZxX6e2RCAXgA1g4xwYtbPrCxscHixYthZmaGW7ducVJ3RfLfIW9SNAqUUhIXF4dnz57RcLeE8Pl8tG3bFqtWrcKjR48QFxeHXbt2oVq1anByckKzZs1gYGCAefPmISAggD6dEyInxrdvjNO2FrAyqoeCLFRwwkvVO3vguXoWcnJyuC1SDoWHh6Ndu3aIiIjA9evX4WI/stDfY2bEPUxv+hXj2zdGjRo1sG3bNjx8+BA1atRA165dMXHiRHz8+JHbH6YcoyHvEmBiSE1NZQBYamqqOA8njLF9+/YxPp/PUlJSuC6lwvv69Su7cOECmz59OmvQoAEDwKpXr85GjRrFPDw8WFJSEtclEkIYY1m5+exTWjbLys1njDH26NEjpqSkxBYvXsxxZfLF19eXVa9enRkbG7Po6Oif/vy/v8cuXbqwHj16/PQYgUDA3NzcWO3atVmNGjXYrl27WH5+vizKr1A+f/7MALDTp09zXQonSpL/qIdSSnx9fWFhYYGaNWtyXUqFV7VqVVhbW2Pv3r2Ij4/Hw4cPMW/ePERGRmLChAmoW7cuOnfujI0bNyI8PJyGxgnhiKqSAuqoq4gW4LRq1QorV67Exo0bcefOHY6rkw87d+7EgAED0LlzZ9y9exeNG/98LOV/f482NjYICAjA27dvv3sMn8/HtGnT8OrVK4waNQqzZ89G+/bt8eDBA1n9KBUCDXmLjwKlFBRsF9S3b1+uS6l0eDweWrduDWdnZwQHByMhIQGurq6oVasWVq5ciRYtWkBfXx+Ojo64evUqcnNzuS6ZkEpt0aJFaN++PSZOnFiphxXz8vIwe/Zs2NvbY86cOTh//jzU1dWLvW748OGoUaPGL4/2rV27Nvbt24egoCAIBAJ06NABM2fOrLRHCZaUkpISlJSUKvVzU1wUKKXg7t27SE9Pp/mTcqBBgwb4448/cP78eSQnJ+PixYvo3bs3zp49CysrK2hqamLkyJE4cuQIEhMTuS6XkEpHUVERR44cwYcPHzB//nyuy+HEly9f0L9/f+zbtw/79u3D5s2boaAg3jZKVatWxbhx43Do0KEit1Xr0KEDgoODsX37dnh6esLQ0BCHDx+GUCiU1I9RYVWrVo16KMVAgVIKfH19UbduXbRq1YrrUsh/VKlSBf3798eePXsQGxuLx48fY9GiRYiNjcWkSZNQr149dOrUCRs2bMCzZ89oaJwQGdHX18fmzZuxb98+XLx4ketyZOrNmzewsLDAw4cP4e/vjz/++KPE97CxscH79+/h6+tb5OMUFRVhb2+Ply9fok+fPpgyZQq6du2KsLCw0pZfKdB53uKhQCkFBdsF8fn065VXPB4PZmZmWL58Oe7fv4/379/Dzc0NdevWxbp162BiYoImTZrA3t4e/v7+tAqVECmztbVFv379MG3aNCQlJXFdjkzcvHkT7du3h1AoxP3799G9e/dS3adVq1Zo3bo13NzcxHp8/fr1cfToUQQEBCApKQmtWrXC/PnzkZ6eXqr2Kzo1NTUa8hYDJR4JS0hIQFhYGA13lzNaWlqYOnUqzp07h6SkJPj6+mLAgAG4cOEC+vTpA01NTQwfPhyHDh3Cp0+fSnz/7DwBEtNzkJ0nkEL1hJR/PB4PBw4cQF5eHmbMmFHhRwgOHjwIKysrmJmZ4d69e2U+YtbGxgYXL17Eu3fin5TTvXt3hIaGYt26dXB1dUWzZs1w6tSpCv+7LynqoRQPBUoJ8/PzA5/PR+/evbkuhZSSqqoq+vbti507dyI6OhqhoaFYsmQJ3r17h2nTpkFLSwsdOnTAunXrEBoaWuSLb3B0CmyPhqC5sx/arr+K5s5+sD0agpBomhBPyI/q168PV1dX/Pvvvzh27BjX5UiFQCDAwoULMW3aNEydOhV+fn4S2Q1k7NixUFZWhru7e4muU1ZWxp9//ina93L06NHo06cPIiIiylxTRUFzKMXDY2J8FElLS0ONGjWQmpqK6tWry6KucmvEiBF49+4d7t69y3UpRAo+ffqES5cuwdvbG/7+/sjIyECjRo0wcOBADBw4EN27d4eqqioAwONeDFacfwY+nwfBf85NU+DzIBQyrBlijPHtf94ShJDKbvz48fDx8UFYWBh0dHS4LkdiMjIyMHbsWFy8eBFbtmyBg4ODRE9Smzx5MgIDAxEREVHqKVc+Pj6wt7fHu3fvsGjRIixduhRVqlSRWI3lUf/+/aGqqoqzZ89yXYrMlST/UaCUoLy8PGhqamLBggVwcnLiuhwiZTk5Obh58yZ8fHzg7e2N6OhoVK1aFVZWVmjZaxjcE2oXeT0PwGlbCzp2jpAffPnyBSYmJjAwMMCVK1cqxHz02NhYWFtbIyoqCidPnpTKtKjAwEB07twZAQEBpZ6PCQBZWVnYsGED/v77b2hra2PHjh0YMGCABCstX0aOHInU1FT4+/tzXYrMlST/lf9/pXIkKCgIaWlpNH+yklBRUUHv3r3h4uKCyMhIPHv2DE5OTkhMTMSegFdggl9v4QEAfD4PboFRMqqWkPJDQ0MDhw4dQkBAAHbs2MF1OWV27949tGvXDmlpabh7967U3iM6deoEQ0NDsRfn/EqVKlWwevVqhIWFQV9fHwMHDsTQoUMRExMjoUrLFxryFg8FSgkq2C6odevWXJdCZIzH46FFixZYvHgxrt24hWrNOoKnoFjkNQIhw+Xn7+F/7TpiYmKK3EOOkMqmV69esLe3x+LFi/HixQuuyym1EydOoFu3btDX18f9+/dhbGwstbZ4PB5sbGzw77//SmTjcgMDA1y+fBmnTp3CgwcPYGRkhL/++qvSHQhBi3LEQ4FSgnx9fdGnT58KMTxDSu9zRhaEYi6SZOCh36Bh0NXVhbKyMjQ1NdG6dWuMHTsWq1atgru7O27duoXY2Fi5CZy0Yp3Iyl9//YXGjRtjwoQJyMvL47qcEmGMwdnZGWPGjMGoUaNw7do11K1bV+rtTpw4EQKBAEePHpXI/Xg8HkaOHImXL19i5syZWL58OVq2bInr169L5P7lAW0bJB6aQykh7969g7a2Njw9PTFmzBiuyyEc+PjxI/bt24c9+9ygNHYneGJ8sOCBYWBWAMKePEJERAQ+fPggWjXO5/O/O8VCQUEBOjo60NPTg66u7k9f2traYp+uURrB0SlwC4zElfCPEDKAzwOsmtfDH5ZNaB4okZrg4GBYWFhg2bJlWLVqFdfliCUrKwuTJ0/GqVOnsG7dOixZskSii2+KM2LECLx69QpPnz6VeLthYWGYOXMm7ty5g7Fjx+Kff/5B/fr1JdqGvFmzZg12796N9+/fc12KzJUk/xU9JkfE5ufnBx6PR9sFVUIPHjzAjh07cOrUKSgoKGDChAlIa6SG+wlF91Qq8HmwMtLCjvFbRN/Lzc1FREQEwsLC8OzZMzx58gShoaFISEiAQCBAdHQ0kpKS8OTJE+Tm5n43DKOoqIhGjRoVGjZ1dXXRoEGDUgfO/65YL/iZhAy4+uIT/J9/pBXrRGratm0LJycnrFmzBgMGDEC7du24LqlI79+/x5AhQxAWFoYzZ85g+PDhMq/BxsYG/fr1Q3BwsMR/XyYmJrh16xaOHDmChQsXolmzZlizZg1mzZoFRcWKGSloyFs81EMpISNHjkRcXBzu3bvHdSlEBnJzc3H69Gns2LED9+/fh66uLuzs7DB16lTUrFkTt14kYKL7Y6CI3oGSrPLOyMhAeHi4KGg+e/YMYWFh+PjxI4BvYbJevXqoUaMGFBUVkZ2djZSUlO9OHPkxcP7Y01m/fv1CA2dwdApG7Q1CUS8UtGKdSFNeXh46deqE1NRUPH78GFWrVuW6pEI9efIE1tbWEAqFuHDhAszNzTmpQyAQQE9PD3379sW+ffuk1k5KSgqWLVuGvXv3omXLltizZw86dOggtfa4snfvXsycORMCgUCmPc3ygLYNkrH8/Hxoampi7ty5cHZ25rocIkXv37/H3r174erqio8fP4oWDgwYMOC7MDZjxgycevwe1XtMh8IP+1AyoQA8vgLWSqBXLzExEc+fP/8uaD579gxpaWkAvq1ObNq0KbS0tFC9enXw+XxkZWXh/fv3iI6ORmJiouheSkpKhfZweiXVweNP+RAU29taD67juXkDJRXfq1evYGZmhmnTpmHnzp1cl/OT8+fPY9y4cWjWrBnOnz8PbW1tTutZuXIlNm/ejPfv36NatWpSbSs4OBgzZ87Ew4cPYWNjg7/++gu1axe9bVp5cuzYMYwfPx6ZmZmVbk9OCpQyVrD31/379+V+OIaUHGMM9+/fh4uLC06fPg0VFRVMnDgRdnZ2aN68+U+PP3/+PIYMGQJXV1eY9xkJt8Ao+Id/EM07zHp9D/2bVsGBv5ZKrd64uDhRL2ZByAwPDxetzqxXrx6MjY1haGgILS0t0RvOu3fvEB0dLfpK/pIGnXlnxJoPyucB4av6QlVJevM4SeW2Y8cOODg44PLly3IzvYgxhk2bNmHx4sUYNmwYjhw5Ihc9qDExMdDT04ObmxumTp0q9fYEAgH27t2LpUuXQlFREX///TemTJlSIRapenl5YejQoUhMTISmpibX5cgUBUoZW7ZsGfbt24ePHz9WiH885JucnBycPHkSO3bsQEhICJo2bQo7OztMnjwZGhoahV7z/v17mJiYoFOnTvDy8hINj2TnCZCenQ91VUWsWbkC27ZtQ1RUlExWfRbIz8/Hmzdvfgqab968ES3+0dPTg7GxMYyNjWFiYoJaDXRh6yf+9iMbLfiw6txBIkfJEfIjoVCIPn36iKZ/1KrF7RSL3Nxc2Nra4vDhw1i2bBlWr14tV+8Bffv2Fe19KSsfP37EokWLcOTIEVhYWGD37t0wMzOTWfvScOXKFfTu3RtRUVHQ1dXluhyZokApY61bt0bz5s0ltk0D4VZCQgJcXV2xd+9eJCYmok+fPrC3t0e/fv2KfLMQCoXo168fnj59iqdPn6JOnTqFPi4lJQV6enqwsbHB5s2bpfVjiC0rKwsvXrz4KWjGx8eDp6gsdg8lEwoRt2UEWH4ujIyM0KFDB1hYWMDCwgLNmzeXqzdaUn7Fx8fDxMQE/fr1g6enJ2d1JCUlYdiwYbh//z4OHDiA8ePHc1bLr5w5cwYjR47Es2fP0KJFC5m2ffPmTcyaNQsvX76Evb09Vq9eXW7zQ1BQEDp27MjJ75FrFChl6MOHD6hfvz6OHj2KcePGcV0OKSXGGO7evQsXFxecPXsWqqqqmDx5Muzs7GBoaCjWPbZv3445c+bAz88Pffr0KfKxK1euxN9//423b9+iQYMGkvgRJO7z5894/vw5Vge8x+tMVTDerwMhDwytNPmY36EG3rx5g3v37iEoKAhhYWEQCoWoXr062rVrJwqYHTpQLyYpPU9PT4wbNw4nTpzA6NGjZd5+eHg4rK2tkZ6eDi8vL3Ts2FHmNYgjNzcX2tramDBhArZs2VL8BRKWl5eH7du3Y+XKlahevTq2bNmC0aNHl7uFLU+fPkXLli0r5bQ2CpQydPjwYUydOhWfPn2qdHMrKoLs7GwcP34cO3bswOPHj/Hbb7/B3t4ekyZNKtFzPSwsDG3btsWMGTOwbdu2Yh+fmpoKPT09jBs3Tu6PlhNnlTdjDB+PLkJOwgvUrl1bNGyur68PBQUFfPr0CU+ePMG9e/dEK8+bNWv2Uy+mNPfRJBUHYwy///47rly5grCwMJkugLl8+TJGjRqFRo0awdvbW+6HQBcsWIDDhw8jISEBKioqnNQQFxeHuXPn4t9//0WPHj2wa9cuNGvWjJNaSuPt27fQ19fHtWvX0KNHD67LkSkKlDI0evRoREdH4/79+1yXQkogLi4Oe/bswb59+5CcnIz+/fvD3t4evXv3LvHQbHZ2Ntq2bQvg22pHVVVVsa5bv349Vq1ahdevX6NRo0Yl/hlk6ej9GDh5fduH8r8r1hX4PAgEQmTcOIBDy6ZCIBB8N3T+6tUrCATfTtRp2LAhjI2N0bBhQ/D5fHz+/BmvXr3Cs2fPIBQKoa6ujvbt24tCZocOHTifI0fkV3JyMkxMTGBqagpfX1+Z9Hrt3LkTc+bMQZ8+fXD8+PFy8X744sULNG/eHCdPnsSoUaM4rcXPzw92dnaIjY3FwoULsWzZMrlYwFScjx8/QktLCxcuXIC1tTXX5chUifIfE0NqaioDwFJTU8V5eKWRl5fHNDQ0mLOzM9elEDEIhUJ28+ZNNnz4cKagoMCqV6/OHB0dWURERJnu6+joyFRUVNjTp09LdF16ejrT1NRk06dPL1P7shIclcxsPUKY3hIf1nixD9Nb4sNsPULYzfB41qpVK9awYUOWkJDw3TXZ2dksNDSUHTt2jC1ZsoQNHDiQ6erqMgAMAOPz+UxfX5916dKF9ejRg5mbm7OaNWuK/tzQ0JBNmjSJubq6stDQUJafny/RnykrN599SstmWbmSvS+RjUuXLjEAbNeuXVJtJy8vj82aNYsBYHPmzJH481DaOnXqxKysrLgugzHGWFZWFlu5ciVTUVFhjRs3ZufPn+e6pGKlp6czAOz48eNclyJzJcl/FCjLIDAwkAFg9+7d47oUUoSvX7+y/fv3M1NTUwaANWvWjO3cuZOlpaWV+d5+fn4MANu2bVuprt+0aRNTVFRkb9++LXMtslJYCEtISGANGzZkrVu3ZhkZGcXeIy0tjQUFBbH9+/czR0dH1rNnT1a3bl1RkFRWVmaNGjViBgYGrEGDBozP5zMATF1dnfXs2ZMtW7aM+fj4sKSkpFL9DA+iktl0j+DvwvF0j2AWHJVcqvsR7syYMYNVqVKFvXr1Sir3//z5M+vduzdTVFRke/fulUob0nb48GEGgEVGRnJdisibN29Y3759GQBmbW0tV7X9SCAQMABs//79XJcicyXJfzTkXQbLly8XbXBNc7/kT0xMDHbv3g03Nzd8/vwZAwcOhL29PXr16iWR4bHExESYmpqiZcuWuHTpUqlWMWdmZqJp06bo27cvDh06VOaauBQaGgpLS0v06NEDZ8+eLdW/iU+fPn23UXvB/2ZkZAAAVFRUULVqVWRlZSE7OxsA0LRpU1haWoqGyo2NjYts+7/HSP44fC8UMjpGspz5+vUrzMzMULt2bQQGBkr0+L+3b99i4MCB+PDhg2j+X3n09etXNGjQAI6Ojli9ejXX5YgwxnDu3Dk4OjoiKSkJy5cvx4IFCzib61kUNTU1rF+/Ho6OjlyXIlM0h1JGzM3N0axZMxw7dozrUsj/Y4zhxo0bcHFxwYULF6Curo5p06Zh9uzZaNKkiUTbGTJkCO7evYunT5+ifv36pb6Xi4sL5s6dixcvXsDAwEBiNXLh0qVLsLa2hqOjo8RWlTLGEBsb+92WRk+fPsXLly+Rl5cH4NuxkgKBAIwxqKiowMTEBN27d0eXLl3QoUMH0YI5OkayYrp37x46deqEVatWYfny5RK5561btzBs2DDUqlULPj4+5f7f5syZM+Ht7Y2YmBi56wDJyMjAmjVrsGXLFjRp0gS7du1Cr169uC7rO3Xr1sWcOXOwdKl0DqSQVzSHUgbev3/PADAPDw+uSyGMsYyMDObq6sqMjY0ZANa8eXO2Z88elp6eLpX2XF1dGQCJzP/JyspiDRs2ZGPHjpVAZdzbuXOnTOa15ebmsvDwcHby5Enm5OTErK2tmba2tmjY/L9ftWrVYp07d2aWi4+Ihrl/9dVk6UVm6xEi1dqJ5C1btowpKiqykJCy/90dPHiQKSkpsR49erDk5IoxDSIkJIQBYBcvXuS6lF969uwZ69q1KwPARo8e/dOcbC7p6uqyJUuWcF2GzNGQtwwcOXIEkyZNwsePH2V62gn5XlRUFHbt2oUDBw4gLS0NgwYNgr29Pbp37y61VZ8vX75E69atMXHiRLi6ukrknq6urpg1axbCwsIqxMa5c+bMwY4dO+Dj44N+/frJtO3MzEy8ePECYWFhCAwMxIMHDxAZGYnMnDw6RrICy83NRYcOHZCdnY2HDx+W6sxlgUCAJUuWYNOmTZg+fTp27twJJSUlKVQre4wxtG7dGnp6ejh79izX5fwSYwzHjh3D/PnzkZWVhVWrVsHe3l6iUxlKw8TEBD169MD27ds5rUPWaMhbBsaMGYM3b94gODiY61IqHcYYrl27BhcXF/j4+EBDQwM2NjaYNWuW1PeEy83NhYWFBb5+/YqHDx9CTU1NYvc1NDREmzZtcPr0aYnck0sCgQBDhw7F9evXcefOHZiamnJdEl7HfYDV7odiPz54aS/UUZe/uVzk154/fw5zc3PMnDkTW7duLdG1GRkZGDduHHx8fLB582Y4OjqWuw24i7Nr1y7MmTMHcXFx0NLS4rqcIn358gXLly/H7t27YWJigt27d6NTp06c1dOhQwcYGxvDzc2Nsxq4UJL8R2ehlYJAIIC/v7/Me14qu4yMDOzevRstWrSAlZUVoqOjsXfvXsTHx2Pjxo0y2WB4xYoVePr0KY4dOyaxMAkAysrKcHJywpkzZ/DkyROJ3ZcrCgoK8PT0xG+//YYBAwbg3bt3XJcEHa064IuZD/g8QF2V2x4RUnItWrTA+vXrsW3bNgQEBIh9XWxsLCwtLXH9+nVcuHABc+bMqXBhEgDGjh0LRUVFuLu7c11KsTQ0NLBz504EBwdDRUUFlpaWmDp1KhITEzmpR01NDV+/fuWk7fKCAmUpPHjwACkpKRQoZeTNmzeYO3cuGjZsCHt7ezRv3hw3btxAaGgo/vjjD5ltjHvjxg1s3LgRa9euhbm5ucTvP3HiROjr68PZ2Vni9+ZCtWrV4O3tDcYYrK2tOX8xVlVSgFXzelAoJlUq8Hno3VyLhrvLqTlz5qBbt26YPHkyUlNTi318wXF6X758wd27dzFgwAAZVMmNmjVrYsSIEXBzc4MYg5NywdzcHEFBQXB1dYWXlxcMDQ2xb98+CIVCmdahpqYm2m2CFI4CZSn4+vqiVq1ale5MT1kSCoW4fPkyBgwYAAMDA3h4eGDmzJmIiorCmTNn0LVrV5n2IHz+/BkTJkxA165dsWDBAqm0oaioCGdnZ1y4cKHCTKXQ1taGj48PXr16hXHjxolOzeGKjWUTCIVFv5EKhQw2lnoyqohIGp/Px+HDh5GamgoHBwcAQHaeAInpOcjO+/75d+LECXTr1g1NmzbFgwcPYGxszEXJMmVjY4M3b97g1q1bXJciNgUFBdja2uLVq1cYMmQIbG1t0bFjRzx69EhmNVSrVo3zD8XyjgJlKfj6+qJ3795yt/VCRZCeno6dO3fCyMgIffv2xbt37+Dm5oa4uDhs2LCBkyMKGWOwtbVFRkYGjhw5ItW/9zFjxsDIyAgrVqyQWhuyZmZmhpMnT8Lb2xuLFi3itJa2urWwZogxeMBPPZU8MPAArBliTFsGlXONGzeGi4sLTgaEwPrvC2ju7Ie266+iubMfbI+GIDg6GStXrsSYMWMwfPhwXLt2rdIsruzSpQv09fXL5VzAOnXq4ODBg7h9+zYyMzPRtm1b2Nvb48uXL1Jvm4a8i0eBsoQ+ffqEkJAQGu6WsIiICDg4OEBbWxtz5syBmZkZbt++jUePHmHq1KmlWrEpKUeOHMHp06exd+9e6OjoSLUtBQUFrFy5En5+frh7965U25KlAQMGYPv27diyZQv27NnDaS3j2zfGaVsLdNOvBVYwbMYYEP8Up2w70KbmFQTfoCu0xv2NpylAQae0kAFXX3zCSNcgbD7/AOvWrYOHhwdUVVW5LVaGeDwebGxscObMGXz+/JnrckrF0tISDx8+xD///IPDhw+L9oOW5jA+DXkXjwJlCV2+fBkA0KdPH44rKf+EQiEuXbqEfv36wdDQECdOnICDgwOio6Nx8uRJWFpacj4x/u3bt7Czs8OkSZMwatQombQ5YsQImJqawsnJSSbtyYqdnR0cHBxgZ2cHX19fTmtpo1sL89qpI27LCOy2qg7XnlUQfXQZ8t694rQuIhnB0SlYceE5wOOBx/9+REEgZACPh9p9Z6H32Bmcv8ZwYdKkScjLy4OnpyfXpZSakpIS5s6di5cvX6Jr164YP348evTogfDwcKm0R0PexaNAWUK+vr4wNzdHvXr1uC6l3EpNTcX27dthaGiIAQMGIDExEYcPH0ZsbCzWrl2Lhg0bcl0iACA/Px/jx49H3bp14eLiIrN2+Xw+Vq1ahYCAANy4cUNm7crCli1bMGDAAIwaNQpPnz7ltJb4+Hiw/Fy0aNoIvXt2R6NGjXD48GFOayKS4RYYCX6xi6/4cAuMklFF8kVLSwvW1tbYv39/uVmc8yva2to4efIk/P39kZCQgJYtW2Lx4sUSD3805F08CpQlIBAIcPnyZRruLqUXL15g9uzZ0NbWxoIFC9CmTRvcvXsXwcHBmDRpktwNO61duxbBwcE4evSozPdfHTx4MMzNzeHk5FTuX/D/67/bCQ0cOBDv37/nrJaEhAQAQP369cHn8zFx4kScPHkSWVlZnNVEyi47T4Ar4R+/O6e9MAIhg3/4h58W6lQWNjY2CA0NlenCFmmysrJCWFgYnJ2dsX37dhgZGeHcuXMSe/2kIe/iUaAsgeDgYNouqIQEAgG8vb3Ru3dvNG/eHP/++y/mz5+PmJgYHD9+HBYWFnI55HT37l2sWbMGTk5OsLCwkHn7PB4Pq1evRmBgIK5cuSLz9qWpYDshoVDI6XZCCQkJqFu3LpSVlQF8GwZMS0uDl5cXJ/UQyUjPzkcxWVJEyL49vjLq06cPtLW1y+XinF9RUVHB8uXLER4eDlNTUwwbNgwDBw5EZGRkme9drVo1ZGdnc75ThTyjQFkCvr6+qFmzJtq3b891KXLvy5cv2LJlCwwMDDBo0CCkpqbCw8MDMTExWLVqFRo0aMB1ib+UlpaG8ePHo3379li2bBlndfTr1w8dOnSocL2UwP+2E3r58iVn2wnFx8d/N71CX18flpaW5WLTZ/Jr6qqKtIG9GBQVFTFlyhR4enpWuKFcPT09eHt7w8vLC8+ePUPz5s2xevVqZGdnl/qeBQdZZGZmSqrMCocCZQn4+fnRdkHFeP78OWbMmAFtbW0sXrwYFhYWuHfvHu7fv4/x48dDRUX+j7Kzt7dHUlISjh49yun5sTweD2vWrMGDBw9w8eJFzuqQFq63E0pISIC2tvZ335s0aRKuXLkiGg4n5Y+4G9gzoQDZb+5j947tyM3NlVF18mXq1KlIS0vDmTNnuC5F4ng8HgYPHozw8HDMmzcPa9euhYmJiWhhbUkVBEoa9v41CpRiSkxMRHBwMPr27ct1KXJHIBDAy8sLPXv2hLGxMS5cuIA///wTsbGxOHr0aLnq0T158iSOHDmCnTt3okmTJlyXg549e6JLly5YsWJFheulBL5tJ7Rt2zZOthMqLFCOHDkSKioqOHr0qExrIZI1uUMjCARFn6TC5yugW30hFi5ciJYtW8Lf319G1ckPPT09WFlZVahh7x+pqalh/fr1ePr0KRo1aoS+ffti5MiRiI+PL9F9qlWrBgAVrjdXkihQisnf3x+MMQqU/5GSkoJNmzahadOmGDp0KLKysuDp6Yno6GisWLECWlpaXJdYIrGxsZgxYwZGjx6NCRMmcF0OgP/1Uj5+/Bjnzp3juhypsLe3h4ODA+zt7eHn5yezdn8c8gaAGjVqYOjQoTh8+HCFDPCVAWMMbhuW4PNVVwA/b2CvwOeJNrD33L4Wjx49Qt26ddGnTx8MGTJEIvPtyhMbGxsEBgbi5cuXXJciVc2aNcPVq1fh6emJwMBANGvWDJs3b0ZeXp5Y1xf0UFKgLAITQ2pqKgPAUlNTxXl4hTRu3DjWqlUrrsuQC6GhoczGxoZVqVKFKSsrs4kTJ7Lg4GCuyyqT/Px81rVrV6ajo8NSUlK4LucnvXr1YsbGxkwgEHBdilTk5+ezgQMHMnV1dfb06VOpt5ednc0AsEOHDv30Z/7+/gwAu3fvntTrIJK3cuVKBoB5eHiw4KhkZusRwvSW+LDGi32Y3hIfZusRwoKjkr+7RigUshMnTrCGDRsyFRUVtmzZMpaRkcHRTyBb2dnZrHbt2mzBggVclyIzX758YY6OjozP5zNjY2N269atYq95/vw5A8ACAwNlUKH8KEn+o0ApBoFAwDQ1NdnSpUu5LoUzeXl57MyZM6xr164MAGvQoAFbu3Yt+/jxI9elScSGDRsYj8djN27c4LqUQgUFBTEA7Pjx41yXIjXp6enMzMyM6ejosHfv3km1rcjISAaA+fv7//Rn+fn5TFtbm82cOVOqNRDJO3DgAAPANmzY8N33s3Lz2ae0bJaVm1/k9RkZGWz58uVMRUWFNWzYkJ04cYIJhUJpliwX5s6dy+rUqcNycnK4LkWmHj9+zDp06MAAsEmTJhX5fhYTE8MAsMuXL8uwQu5RoJSw+/fvMwDs9u3bXJcic4mJiWzDhg1MR0eHAWCWlpbs5MmTLDc3l+vSJCYkJIQpKiqyxYsXc11Kkfr3788MDQ1ZXl4e16VITXx8PNPW1mbm5uZS7SG6desWA8DCw8ML/fMlS5YwDQ0NlpWVJbUaiGRdunSJKSgosJkzZ5Y5BL59+5YNGTKEAWBdunRhT548kVCV8unZs2cMADtz5gzXpcicQCBgbm5urFatWkxDQ4Pt3r2b5ef//MEjKSmJ8RSVmfvJs8V+MKlIKFBK2MqVK5mGhkaFfiP/0ePHj9nUqVOZqqoqU1FRYVOmTGGPHj3iuiyJy8jIYAYGBszc3FzuP52HhIQwAMzd3Z3rUqTq8ePHTE1NjQ0ZMqTQF3ZJOH78eJGvaS9fvmQA2KlTp6TSPpGskJAQpqamxgYNGiTR58zly5dZs2bNGJ/PZ7NmzWJJSUkSu7e8sbCwYH379uW6DM4kJiYyGxsbBoC1adPmu2lcD6KSmc3h+6zRoguiqRPTPYJ/mjpREZUk/9GiHDH4+vrCysqK0y1kZCEvLw+nTp1C586d0apVK/j7+8PZ2Rnx8fE4ePAgWrVqxXWJEjdv3jzEx8fj2LFjog2u5ZW5uTmGDBmCVatWiT2RvDwyMzPDiRMnRLsFSENCQgKqVav2yxOQDA0N0aFDBzqKsRyIiorCgAEDYGxsjOPHj0t0W7fevXvj6dOn2LRpEzw8PGBgYIA9e/ZUyM2tbWxscPnyZcTExHBdCic0NTWxf/9+3L17F/n5+WjXrh1mzZqFvQEvMGpvEAIiksDjf4tMQgZcffEJI/cG4ej9yvn7KgwFymIkJSXhwYMHFfp0nMTERKxbtw56enoYPXo0FBQUcObMGURFRWHx4sXQ1NTkukSp8PLywr59+7B161YYGhpyXY5YVq1ahcjIyAq/+fbAgQOxbds2bN68Ga6urhK/f2ErvH80efJk+Pn5cXo8JClacnIy+vXrB3V1dXh7e6Nq1aoSb0NJSQnz5s1DREQEBg8ejFmzZsHc3By3bt2SeFtcGjVqFNTU1HDo0CGuS+GUhYUFgoODsW3bNpy4FoL1/m/BgJ+O8hQIGRgAJ69nCIlO4aRWeUOBshgVebughw8fYvLkyWjYsCHWrVuHfv36ITQ0FDdu3MDw4cMrdI/s+/fvYWNjg8GDB+OPP/7guhyxmZqaYtSoUVizZg1ycnK4Lkeq7O3tYW9vDzs7u1JvRvwrhe1B+aPRo0dDSUkJx44dk2jbRDKysrIwaNAgpKSkwNfXF3Xq1JFqe1paWjh48CDu378PFRUVdO3aFWPHji3xfobyqlq1ahgzZgwOHjxYIXtgS0JRUREODg6wXrgVPBS9fRifz4NbYJSMKpNvFCiL4evrCzMzM9SvX5/rUiQiLy8PJ06cQMeOHdGmTRvcuHEDa9euRXx8PPbv3w9TU1OuS5Q6oVCIyZMnQ0lJCW5ubnJ5lnhRVq5cifj4eBw4cIDrUqRu69atoo2Iw8LCJHZfcQKlhoYGhgwZQntSyiGBQIDx48fj8ePH8PHxgb6+vszabteuHYKCgnDo0CFcu3YNhoaGWL9+fZmO9ZMXNjY2iIuLw5UrV7guhXPZeQLcjvwC8IqOSQIhg3/4B2TnVe4QDlCgLJJQKMTly5crxHD3x48fsXr1ajRu3BhjxoxBlSpVcO7cObx9+xYLFy5ErVq1uC5RZlxcXODv74/Dhw+Xy+F8IyMjjB07FuvWrUNWVhbX5UiVgoICTpw4gaZNm2LAgAESG34WZ8gb+Dbs/fz5czx69Egi7ZKyY4xh3rx58PLywsmTJ9GuXTuZ18Dn8zF58mRERERgxowZcHZ2RosWLXDhwoVy/eGjbdu2MDExqdAn54grPTsfQjH/KoXs2+MrOwqURXj06BESExPLdaB88OABJkyYAB0dHfz9998YNGgQwsLCcO3aNQwZMqTSnUv+9OlT/Pnnn5gzZw769OnDdTml5uzsjI8fP2Lv3r1clyJ11apVg7e3NwQCAQYNGlTmkyqEQiHevXtXbA8lAFhZWaF+/fq0OEeObNmyBS4uLti9ezesra05raVGjRrYvHkznj59Cn19fQwePBj9+vUrt6fO8Hg82NjY4Pz58/j06RPX5XBKXVURxRwHL8LnfXt8ZUeBsgi+vr6oUaMGLCwsuC6lRHJzc3Hs2DG0b98e7du3x507d7BhwwbEx8fD1dUVxsbGXJfIiaysLIwbNw6GhobYsGED1+WUib6+PiZNmoQNGzZUiqPAGjZsCB8fH7x48QITJkwo0xyvT58+IT8/X6xAqaCggAkTJsDT07PCz1ktD06cOIEFCxZg6dKlsLW15bocESMjI/j5+cHLywsREREwMTHBwoULkZaWxnVpJTZ+/HgoKCjgyJEjXJfCKVUlBVg1r/fT0Z0/UuDz0Lu5FlSVKlfnTGEoUBbB19cXvXr1KjeLU96/fw9nZ2c0atQI48ePR40aNXDhwgW8fv0a8+fPR82aNbkukVOLFy/G69ev4enpCVVVVa7LKbPly5cjJSUFu3bt4roUmWjVqhVOnDiB8+fPl2k7oYSEBAAQa8gbACZNmoSUlBRcvHix1G2Ssrt58yYmTZqECRMmYO3atVyX8xMej4fBgwcjPDwcK1euxO7du2FgYAB3d3cIhUKuyxNbrVq1MGzYMLi5uZXr4XtJsLFsAmEx495CIYONpZ6MKpJvFCh/ISUlBffv35f74W7GGIKCgjB27Fg0atQImzdvxvDhwxEeHg5/f39YW1tXumHtwvj5+cHFxQUbN26sMD20enp6mDZtGjZu3Ij09HSuy5GJgQMHYuvWrWXaTqggUIrTQwkAzZs3R9u2bWnYm0PPnz/HkCFD0KVLF7lfSKeqqoply5bh5cuX6NatGyZPnoyOHTsiODiY69LEZmNjg1evXuHOnTtcl8Kptrq1sGaIMXjATz2VCnweeADWDDFGG93KswahSJLeKb2iKDhJIz4+nutSCpWdnc3c3d2Zubk5A8CaNm3Ktm7dyr58+cJ1aXLn06dPrF69eqxv374V7lze2NhYpqyszNasWcN1KTJlZ2fHFBQUmJ+fX4mv3bVrF1NUVGQCgUDsa3bu3MkUFBTYhw8fStweKZuEhASmo6PDTE1Ny+V70I0bN5ipqSkDwKZOnVounkMCgYA1adKETZo0ietS5EJwVDKz9Qhhekt8RCfl2HqE0Ek5P6BA+QsTJ05kpqamXJfxk/j4eLZs2TJWp04dBoD17duXXbx4sURvjpWJUChk1tbWTFNTk71//57rcqTC3t6eaWhosM+fP3Ndiszk5eWxAQMGMHV1dfb06dMSXbt06VLWqFGjEl2TlJTElJWV2ZYtW0p0HSmb1NRUZmpqynR0dOT2w7048vLy2K5du1jNmjVZ9erV2datW1lubi7XZRVp3bp1rEqVKtRJ8R9ZufnsU1o2neX9CxQoCyEQCFjdunXZn3/+yXUpjLFvoej27dts1KhRTEFBgamrqzN7e3v28uVLrkuTe3v27GEA2Pnz57kuRWrevXvHVFVVmZOTE9elyFRaWhpr2bIla9SoEXv37p3Y102aNIlZWFiUuL0RI0awli1blvg6Ujo5OTmsV69erEaNGuzZs2dclyMRSUlJbObMmYzP5zMjIyN25coVrkv6pYSEBKagoMD27NnDdSmEQxQoyygkJIQBYDdu3OC0jszMTHbw4EFmZmbGADADAwPm4uJSaf4eyurFixesSpUqbMaMGVyXInXz589n6urqLCkpietSZCouLo41aNCAtWnThmVkZIh1Tc+ePdmIESNK3Ja3tzcDwB4/flzia0nJCIVCNmHCBKasrMyuX7/OdTkS9/jxY9a5c2cGgA0dOpRFRkZyXVKhBg0axMzNzbkug3CIAmUZrVmzhlWvXp2zIYmYmBi2ePFiVrt2bQaA9e/fn/n5+dGwdgnk5OSwVq1aMUNDQ/b161euy5G6T58+MTU1NbnpVZelhw8fMjU1NTZ06FCx/o00a9aMzZkzp8Tt5Obmsnr16jFHR8dSVElKYtmyZQwAO378ONelSI1QKGTHjx9n2traTEVFhTk5Ocnda9WFCxcYAPbo0SOuSyEcoUBZRh07dmTDhg2TaZtCoZDduHGDDR8+nPH5fFa9enU2Z84c9vr1a5nWUVEsWrSIKSkpsYcPH3JdiswsWbKEVa1atVxM+pe0CxcuMD6fzxYsWFDsY9XV1dmmTZtK1c68efOYpqYmy8nJKdX1pHiurq4MQKn/jsqb9PR0tmzZMqasrMx0dHTYyZMn5WbxYF5eHqtfvz6bPXs216UQjlCgLIPk5GTG5/PZ/v37ZdLe169f2f79+0WrAI2MjNiuXbtYenq6TNqviAICAhiPx2N///0316XIVHJyMqtevTqbO3cu16VwYtu2bQwAc3V1/eVjCl7LPD09S9VGaGgoA8C8vLxKWyYpgre3N+Pz+czBwUFuQpWsvHnzhg0aNIgBYN26dSvxYjNpWbp0KatRowbLzMzkuhTCAQqUZXDy5EkGgMXFxUm1naioKLZw4UJWs2ZNxuPxmLW1Nbty5UqlexGVtOTkZKatrc26d+9eKacIODs7M1VVVZaQkMB1KTInFAqL3U4oPDycAWC3bt0qdTutW7dmQ4cOLfX1pHD3799nVatWZcOGDWP5+ZVnFe2PfH19maGhIePz+czOzo4lJ3O7Nc2bN28YAObh4cFpHYQbFCjLYPLkyczExEQq9xYKhezatWtsyJAhjM/nMw0NDTZ//nz29u1bqbRX2QiFQjZy5EimoaHBYmNjuS6HE1++fGE1a9astENUeXl5rH///kxdXZ2FhYX99OdXrlxhAMr0b2779u1MSUmJJSYmlqVU8h+vX79mderUYR07dqSeMPZtDvg///zD1NXVWe3atZmrqyunIbtHjx6sa9eunLVPuEOBspQEAgHT0tJiixYtkuh9MzIymKurK2vRogUDwFq0aMFcXV3FXpVKxHP48GEGgJ06dYrrUji1bt06pqyszGJiYrguhRP/3U7ox71HDx06xACwrKysUt8/MTGRKSkpMRcXl7KWSti3BWX6+vrMwMCg0u1SUJz379+zyZMnMwDMzMyM3b59m5M6PD09GQD26tUrTton3ClJ/qOjF/8jNDQUHz58kNhxi5GRkZg/fz4aNmyIWbNm4bfffkNAQADCwsJga2sLNTU1ibRDgLdv38LOzg6TJ0/GyJEjuS6HUw4ODqhevbpcnncsC+rq6vDx8UF+fj4GDRqEzMxM0Z/FxL+Dpk4TQEGp1PfX1NTEgAED6ChGCcjMzIS1tTXS0tLg5+eH2rVrc12SXNHS0sKhQ4cQFBQERUVFdO7cGePGjRMdHyorQ4cORc2aNXHgwAGZtkvKGUkn1PJs3bp1rFq1amVawSkUCpm/vz+ztrZmPB6P1axZky1atIhFRUVJrlDyndzcXNa+fXvWpEkTlpaWxnU5cmHTpk1MUVGxUk+nePjwIatatSobOnQou/c2kU33CGaN//QWHZ023SO41EeneXl5MQBys3CiPMrPz2eDBg1iampqLCQkhOty5J5AIGAHDhxgderUYWpqamzDhg0sOztbZu07ODiwunXryv0JP0SyqIeylHx9fdGrVy8oKyuX+NqMjAzs3r0bLVq0QO/evRETE4N9+/YhPj4ef//9N3R1dSVfMAEArF27FiEhITh69CjU1dW5LkcuzJo1C5qamli9ejXXpXCmdevWOH78OK5G52D0vnu4+uITwOMBAIQMuPriE0buDcLR+zElvnf//v1Rp04duLu7IztPgMT0HGTnCST9I1RYjDHY29vj4sWLOH36NMzNzbkuSe7x+XxMnToVERERmD59OpYvX44WLVrAx8cHjDGptz9t2jR8+vQJPj4+Um+LlE8UKP/fly9fEBQUVOLh7jdv3mDu3LnQ1taGg4MDmjdvjhs3buDJkyewsbFB1apVpVQxAYC7d+9i7dq1WLFiBSwsLLguR25UrVoVS5YsgYeHB169esV1OZypb2qJWn1mAjweBMLv33QFQgYGwMnrGUKiU0p0XyUlJfQZPwsnE6qjubMf2q6/iubOfrA9GlLie1VGf//9N/bs2YO9e/dKbIpRZaGhoYEtW7bg6dOn0NPTg7W1NQYMGICIiAiptmtqaop27drBzc1Nqu2Q8osC5f+7cuUKBAKBWC9uQqEQfn5+GDBgAAwMDODh4YHZs2cjKioKZ86cQdeuXcH7/54QIj1paWkYN24cOnTogKVLl3JdjtyZPn06GjRogFWrVnFdCmfcAiOhwC/6ZY7P58EtMKpE9/W4F4PbKm3B12mJgpxa1l7PyuLo0aNYsmQJnJ2dMW3aNK7LKbeaN28Of39/nD17Fi9evICxsTEWLVqEtLQ0qbVpY2MDPz8/xMXFSa0NUn5RoASQnSfA+csBaG7SEjo6Or98XFpaGnbs2AEjIyP069cP79+/x4EDBxAXF4f169cXeS2RPDs7OyQnJ8PDwwOKiopclyN3VFVVsWzZMpw4cQLPnj3juhyZy84T4Er4x596Jn8kEDL4h3/Au4+JYg0dBkenYMX5b79PnsL3z7uy9HpWBteuXcPUqVMxZcoUODs7c11Oucfj8TB06FCEh4fDyckJO3fuhKGhITw8PCAUCiXe3u+//44qVarQgjRSKB4T4xU0LS0NNWrUQGpqKqpXry6LumQiODoFboGRuBL+8VsvA2PoY6yFPyyboI1uLdHjIiIisHPnThw+fBiZmZkYPnw47O3t0alTJ+qJ5MiJEycwZswYHDlyBBMmTOC6HLmVm5sLQ0NDmJub48yZM1yXI1OJ6Tlou/6q2I+PcxkPhbyvqFu3LurVqyf60tLS+u7/73/Jw4P4TAiKeOVU4PNgZVQPruNpbmCBp0+fonPnzrCwsIC3tzeUlEq/0p4ULjY2FgsXLsSpU6dgYWEBFxcXtGnTRqJtTJs2DdeuXUNkZCT4xfT+k/KvJPmv0gZKj3sxWHH+Gfj87+dWKfB5EAoZVg9qgdqfw+Hi4oLLly+jTp06sLW1xYwZM6Ctrc1h5SQ2Nhampqbo168fPD09KdQX4+DBg5g2bRoeP34MMzMzrsuRidDQULjs2oOrNQeAJ8abHg/AhtbZSP70AR8/fvzp68OHD8jKygJPURk6886IdU8+Dwhf1ReqSgoS+InKt7i4OFhYWKBevXq4ceMGLZ6Tshs3bsDBwQHPnj3DtGnTsG7dOtStW1ci9w4KCkLHjh3h7+8PKysridyTyC8KlMUIjk7BqL1BKPIHZwwfji6CsVZVODg4YNSoUVBVVZVVieQXBAIBevTogaioKDx9+hQaGhpclyT38vPzYWRkBCMjI1y4cIHrcqQmNzcX//77L3bt2oU7d+5AW1sbTSf9hXhWs8y9iYwxJCQkwPOsN3a/byR2TYHzLdFQs0ZJfowK58uXL7C0tMTXr18RFBQELS0trkuqFPLz87F37144OTlBKBRi1apVmDVrVpl7hhljMDY2hrGxMU6ePCmhaom8Kkn+q5T91W6BkeDzi+vVYhi0aBuCg4MxceJECpNyYtOmTbh9+zY8PDwoTIpJUVERzs7O8Pb2xoMHD7guR+Li4+Ph5OSERo0aYezYsVBWVsaZM2cQFRWFf/7oj2KmUEIoZLCx1Pvp+wKBAA8ePMCaNWvQuXNn6OrqYvH8OQATb24aEwrxm24j9OnTB//88w9CQ0OlMq9NnuXk5GDo0KF49+4dfH19KUzKkKKiImbPno2IiAj8/vvvmDt3LszMzHDt2rUy3ZfH4+GPP/7AuXPnkJSUJKFqSUVQ6QKluBP1weMj5EMecvIr1xuAPAsJCYGTkxMWL16Mrl27cl1OuTJmzBgYGRlVmIUQjDFcv34dI0aMgK6uLrZt24YRI0bg+fPnCAgIwPDhw6GkpIS2urWwZogxePjWE/lffN63+zT9HIzWjTQAAAkJCTh48CBGjx6NunXron379vjnn39Qt25d7Nq1C28jXqKPcf2f7vUjBT4PnRqrYd1qZ/B4PKxYsQJmZmaoX78+xo0bh8OHD8v8tBNZEwqFmDx5MoKCgnDhwgU0a9aM65IqJU1NTbi6uuLhw4eoWbMmevXqheHDhyM6OrrU9xw/fjx4PB48PDwkVygp9yrdkHdJJ+oHL+2FOuoqUqyIiOPr169o1aoVqlevjrt375Zq8/nK7tSpUxg9ejTu3LmDjh07cl1OqaSlpcHDwwO7d+9GeHg4jIyMMHv2bEyYMKHI16aQ6BS4BUbBP/wDhOxbmOzdXAs6mRFYbjsW5ubmyM7OxvPnz8Hj8dCmTRv06dMHffr0Qfv27b8bJhRnygwPwGlbC9HivuzsbNy9exdXrlzBlStX8OjRIzDG0Lx5c1hZWcHKygpdu3ZFtWrVJPSb4t6ff/6JTZs24fTp0xg+fDjX5RB8+wB1/PhxLFy4ECkpKfjzzz+xaNGiUu2X/PvvvyMsLAzPnj2jeewVGM2hLEJ2ngDNnf2KHQYDvr0pvFhNk+rlwfTp03Hs2DE8evQIhoaGXJdTLgmFQrRq1QqampplHvaStfDwcOzatQtHjhxBVlYWhgwZgtmzZ6Nbt24lejPLys3Ho7AXuHvzGq75++HmzZvIzs4GALRt2xbz5s1Dr169oKmpWeR9jt6PwfJzYWBMCB7/f68PBYv61gwxxvj2jX95fVJSEq5duyYKmLGxsVBSUoKFhQWsrKzQu3dvmJubQ0GhfL727Ny5E/b29ti2bRscHR25Lof8ICMjA+vXr8fmzZuhpaWFzZs3Y/jw4SX6t3T16lVYWVnh7t27dKhEBUaBshi2R0Nw9cWnIoe9mVCAzIh7aJn+AI6Ojujfv3+5fXEv77y8vDB06FDs27cPf/zxB9fllGsFv8vr16+jW7duXJdTpLy8PJw/fx67du3CjRs3UK9ePUyfPh3Tp09Hw4YNxb5PSkoKrl27hsuXL+Py5cuIj4+HiooKunTpIuqFPH78ONavXw93d3dMnDhRrNoatuoC/QG2eK9Q57teTxtLve+2HSsOYwyvX78Whcvr168jLS0NNWvWRI8ePUQ9mE2aNBH7nlw6d+4chg8fjrlz52Lz5s1cl0OKUHDSm4+PD7p37w4XFxcYGxuLda1QKETTpk3Ro0cPHDhwQMqVEq5QoCyGuENW05tkwMttCx48eIAmTZrA3t4eU6ZMQY0alXvVpiy9e/cOpqamsLS0xLlz52hopYwYY2jbti2qVKmCW7duyeXv8/3799i/fz/27t2Ld+/ewdLSErNnz8awYcPEmuqQn5+PBw8eiAJkcHAwhEIhjIyMRAGyS5cu3w3zMcbwxx9/4PDhw7hw4QL69+9fZBve3t4YNGgQQkNDYWDUAunZ+VBXVZTIaEZeXh4ePHggCpj379+HQCBAkyZN0Lt3b1hZWaFHjx5yuSgtKCgIPXr0wKBBg3D8+HHap7CcuHTpEubMmYPIyEjMmjULq1atQs2aNYu9bu3atdiwYQPev39fIbIB+VmJ8h8TQ2pqKgPAUlNTxXl4ueBxL5rpLvZhTZZeZI0X+4i+miy9yHQX+zCPe9Gix967d4+NGTOGKSoqsmrVqjE7Ozv26tUrDquvHAQCAbOysmJaWlosMTGR63IqjIsXLzIA7PLly1yXIiIUCtmtW7fY6NGjmaKiIqtatSqbPn06e/LkiVjXx8TEsH379rHhw4czDQ0NBoBpaGiwESNGsP3797PY2Nhi75GXl8cGDRrEqlatyoKCgop87MiRI5mpqalYtZXVly9fmJeXF5s9ezYzMDBgABifz2ft27dny5cvZzdv3mQ5OTkyqaUor169YrVr12ZdunRhWVlZXJdDSignJ4dt3LiRVatWjWlqarJ9+/ax/Pz8Iq+Ji4tjfD6f7du3T0ZVElkrSf6rtIGSMcaCo5KZrUcI01vyLUzqLfFhth4hLDgqudDHx8fHs+XLlzNNTU0GgPXv359dvnyZCYVCGVdeOWzdulXugk9FIBQKWYcOHVi7du04f+6mp6czV1dXZmpqygCw3377jW3dupV9/vy5yOu+fv3KLl68yBwdHVmzZs1EIcvCwoKtXLmSBQUFsby8vBLXk5mZySwtLVmtWrVYeHh4oY/5/PkzU1FRYZs2bSrx/SUhOjqa7d+/n40aNYrVrl2bAWDVqlVjAwcOZNu3b2fh4eEy/3v98OED09PTY0ZGRiwlJUWmbRPJevfuHZs4cSIDwFq3bs3u3LlT5OMHDBjA2rVrJ6PqiKxRoCyhrNx89iktm2XlFv1pTPT4rCx28OBB1rJlSwaANWvWjO3evZtlZGRIudLKIzQ0lCkrK7O5c+dyXUqFdOXKFQaAeXt7c9L+q1evmKOjI6tevTrj8/ls0KBB7PLly0wgEBT6eKFQyEJDQ9nGjRtZz549mbKyMgPAdHR0mI2NDTt9+rTEgkxKSgpr0aIF09HRYXFxcaLvF7xO7HLdx/h8PktISJBIe2UhEAhYSEgI27BhA+vRo4fo96Ktrc0mT57Mjh07xj5+/CjVGtLT05m5uTmrX78+i46OLv4CUi7cvXuXmZubMwBs/Pjxv3y+nzt3jgFgoaGhMq6QyAIFShkRCoXs5s2bbNiwYYzP5zMNDQ22YMECFhUVxXVp5VpmZiZr0aIFMzExoaEzKREKhaxLly6sVatWMuvNys/PZ15eXszKyooBYJqammzx4sW/DCGJiYnM09OTTZo0idWvX58BYFWqVGF9+/ZlW7dulWpPXHx8PGvUqBFr0aIFu/Y0mk33CBaNZDT+8wJrYbvtlyMZXPr69Svz9fVl8+bNYyYmJgwAA8BatmzJFi5cyPz9/VlmZmap7//jh++8vDzWv39/Vq1aNfb48WMJ/RREXuTn57P9+/czTU1Npqamxv766y+WnZ393WNyc3NZvXr1mL29fYk7Z4j8K0n+q5SLcqQhOjoau3fvxv79+5GWlobBgwfD0dERXbp0kcuFD/LM0dERe/fuRUhIiNgrDknJ3bp1C127dsW///6LYcOGSa2dxMREuLm5wdXVFbGxsWjfvj1mz56NkSNHfncCVV5eHu7duydaTPPw4UMwxmBiYiJaTGNpaSmzU6tevnyJbjZOULWcBAUF/ne7QvDBwMArdnsgrn348AFXr14VLfB5//49VFRU0LlzZ9H2RKampsUungmOToFbYCSuhH8UrWi3MqqHlKAz8Nq/GZcuXaJznSuwL1++YOXKldi5cyeaNGmCbdu2fbdwbdri9fCLyoVK07b/e340r4c/LJuUaMcDIn9olTeHvn79Cg8PD7i4uODFixdo2bIlHBwcMHbsWDq+UQy+vr7o378/XFxcYG9vz3U5FZ6VlRU+fPiA0NBQia7IZYzh/v372LVrF06dOgU+n48xY8Zg9uzZMDf/35nZkZGRogAZEBCA9PR01K5dG1ZWVujTpw969+6NBg0aSKyukgiOTsHIvUFFPubHDczlGWMMz58/F4XLmzdvIjMzE3Xq1EGvXr1E2xP9uCWTx70YrDj/DHw+77tQzQODkAGD6n/FDsfRsv5xCAeeP38OBwcHBAQEYMCAAdi6dSvuJSvD6fwzMEE+eAqKoseKuycrkW8UKOUAYwxXr17F9u3bcfHiRWhqasLW1hYzZ86EtrY21+XJpU+fPsHU1BStWrXCpUuXqGdXBoKCgtCxY0ccP34cv//+e5nvl5WVhePHj2PXrl149OgRmjRpgpkzZ2LKlCmoXbs2MjIycP36dVGIfPPmDRQUFGBhYSHqhWzdurVc7Pkqzn61CnwerIzqwXW8+S8fI69ycnIQFBQkCpghISFgjKFZs2aicFm9aStM9ggt0alApGJjjOHcuXOYN28ekng1oDl6HVDEazU9P8o3CpRy5vXr19i5cycOHjyI7OxsjBgxAo6OjujQoQPXpckNxhgGDRqEe/fuISwsDFpaWlyXVGn0798fkZGRePbsGRQVFYu/oBCRkZHYs2cPDh48iM+fP6Nv376ws7ND7969ERYWJgqQd+7cQV5eHnR1dUUBskePHnK3t2tWbj5arLws5olaDEv0E6GqpAAFhf998fn87/6/tL/K2sOcnJyMgIAAUcCMjo5G3WHLUEW/HcD/dcAvz6GalF5mZib6rTuL6Dz173omf0TPj/KNAqWcSktLw6FDh7Bjxw68ffsW7dq1g4ODA0aOHFnpz6Z2dXXFzJkzceHCBVhbW3NdTqUSEhKCtm3bwt3dHaPGjBN7k26hUAg/Pz/s2rULvr6+0NDQwNSpUzFy5EhERETg8uXLuHLlCj59+gQ1NTV0795dFCL19fVl2gMtFArx+fNnJCYmfvf16dOnn76XmJiIlMw8aM08LPb941zGQ5j5RWr1i0uS4TRXwJDcYxnAKz6o8nlA+Co6prYyKckxxvT8KL8oUMo5gUAAX19fbN++HVevXkX9+vUxc+ZM2Nraom7dulyXJ3MvXryAubk5Jk2ahD179nBdTqXUa4wt3ig2Al/HrNhJ9SkpKTh48CD27NmDyMhImJmZwcrKCgKBAAEBAXjy5AkAwMzMTBQgO3bsCBUVFYnVKxAIkJKSUmQo/O+fJScnQyAQfHcPPp8PTU1N1KlT56cvDc262J7QCAzFh14+DwhbYQUl/re6fvwSCoWFfl/ev7KYIoK0Bov9dxK8tBfqqEvu75jIt8T0HLRdf1Xsx9Pzo3yiQFmOPH/+HC4uLvDw8IBAIMCYMWPg6OiIVq1acV2aTOTm5qJDhw7IzMzEo0ePvjsOj8iGx70YsSbVP3z4ELt27YKnpyeEQiHMzMygrKyMJ0+e4OvXr6hbty569+4t+qpXr57YNeTn5yMpKanYYFjwlZycjB9fuhQVFQsNiHXr1i00NNaqVavIYeKKPoeyONQDRYpCz4/KgQJlOZSSkgI3Nzfs3LkTcXFx6Ny5MxwdHTF48OBSz2srD/78889vKwXv3UPr1q25LqfSEedce4ChxoMDeBrghWrVqkFJSQmfP3+GkpISOnXqJOqFbNmypSig5ebmFhoQfznEnJLyU6tKSkpFBsIfA6OGhoZEh9HF+d1U9AUHlT1Uk6LR86Pio0BZjuXn5+P8+fPYvn07bt++jUaNGmH27NmwsbFBrVoV600rICAAvXr1wt9//42FCxdyXU6lJM4bAhPkI+v1fSR6bYCOjg7MzMygr6+POnXqID09vdDQmJqa+tN9VFVViwyEP35Vr16d85X+R+/HwMnr5y1zKsuWKBSqSVHo+VHxUaCsIB4/fgwXFxd4enpCQUEBEyZMgIODA1q0aMF1aWWWkpICU1NTGBgY4OrVqxLdA5GIpyRDVkwoRNyWEWD5uaLvVa1atUQ9iGpqapwHxNIIiU6BW2AU/MM/iOaX9m6uBRtLvUrxJlnZQzUpGj0/KjYKlBXMp0+fsHfvXuzevRsfPnxAr1694ODggAEDBpTLIMYYw6hRo3Dt2jWEhoZCR0eH65IqPKFQiISEBLx69QoRERF49eoVnr+NxRsTG7Hv8XcHHppq/y88Vrb5rtl5ArFXwFc0lT1Uk6LR86PiokBZQeXm5uLMmTPYvn07Hjx4gKZNm8Le3h5TpkwpV38vhw8fxpQpU3Dq1CmMHDmS63IqlNTUVFFgLPjfV69e4fXr18jMzATwbW5i06ZN8Vuz5nhqOKXITYkL0KR6AlTuUE2KR8+PiocCZSVw7949uLi44PTp01BVVcWUKVNgb2+P3377jevSivTmzRu0atUKI0aMwKFDh7gup1zKy8tDVFSUKCz+Nzh+/PhR9LgGDRrAwMAAhoaGMDQ0FP23rq6uaKEXTaonhBDyKxQoK5GEhATs2bMHe/fuRXJyMvr37w9HR0f06tVL7uar5eXloXPnzkhMTMSTJ0+grq7OdUlyizGGjx8/fhcWC/47MjIS+fn5AAA1NbXvQmNBcDQwMBDr90uT6gkhhPwKBcpKKDs7G8ePH8f27dsRGhoKIyMjODg4YMKECVBTU+O6PACAs7Mz1q1bh8DAQDp28v9lZmbi9evXhfY2pqWlAfi2Abeenl6hvY0NGjQo8wcHmlRPCCGkMBQoKzHGGG7dugUXFxd4eXmhevXq+OOPPzB79mw0bsxdKLhz5w66dOmClStXwsnJibM6uCAQCBAbG1tob2NcXJzocZqamt+FxYL/btq0qURPmSkMTaonhBDyIwqUBAAQHR2NXbt2wc3NDWlpaRgyZAgcHR3RuXNnmQ6Hp6amwszMDA0aNMDNmzcr7EbtKSkpP/UyRkRE4PXr18jJyQEAqKio4Lfffiu0t1Ee9hmlSfWEEEIKUKAk3/n69Ss8PDzg4uKCFy9ewMzMDA4ODhgzZgxUVVWl3v7EiRPh5eWF0NBQ6OnpSb09acrJycHbt2+/C40FwTEpKUn0OB0dnULnNjZq1AgKChTUCCGEyD8KlKRQjDFcuXIF27dvx6VLl1CnTh3Y2tpi5syZaNCggVTaPH78OMaOHQsPDw+MHz9eKm1IGmMM7969K7S3MSoqCkKhEABQvXr1Qoeof/vtN7mZt0oIIYSUFgVKUqzXr19jx44dOHToELKzszFy5Eg4Ojqiffv2EmsjJiYGLVu2RL9+/eDp6Sl3q87T09ML3bMxIiICX79+BQAoKiqiSZMmhQbHevXqyd3PRAghhEgKBUoittTUVBw+fBg7duzA27dv0a5dOzg6OmLEiBFQVlYu9X0FAgG6d++OmJgYhIaGQkNDQ3JFl0B+fj6io6MLXUX9/v170ePq1atXaGhs0qQJlJSUOKmdEEII4RIFSlJiAoEAly5dwvbt23Ht2jXUr18fs2bNgq2tLerUqVPs9T8u5tiwYQOWLVuGGzduoEuXLlKtnTGGpKSkQkPj27dvkZeXBwCoUqWKKDD+Nzj+9ttvnAVeQgghRF5RoCRl8vz5c7i4uMDDwwNCoRBjxoyBo6MjzMzMfnpscHQK3AIjcSX8o2i7mTb1lXHxn3lwHGeN9evXS6yurKwsvHnzptDg+OXLFwAAj8dD48aNfwqNhoaG0NbWLpdnnxNCCCFcoEBJJCIlJQVubm7YuXMn4uLi0KVLFzg4OGDw4MFQVFSEx70YrDj/84bYEAoAHh+rrI0wqVPTErUpFAoRFxdX6J6NsbGxKHi61qxZ86dtdwwNDdG0aVNUqVJFkr8GQgghpFKiQEkkKj8/H15eXnBxccHt27fRqFEjDLNdCK90vVIf2ffly5dCt955/fo1srKyAABKSkrQ19cvdG6jpqYmLYghhBBCpIgCJZGaR48ewcXFBb4ZOlBt0gY8hV9vUq7A56FDw6oYrZ32U2/jp0+fRI9r0KBBob2NjRs3rrCboBNCCCHyjgIlkarsPAGaO/tBWOwzB2BCIeK2jICaqvIvF8Soq6tLv2hCCCGElEhJ8h91/5ASS8/OFytMAgCPz8fTFxFo0bQRDVETQgghFRQteSUlpq6qCL6Y2ZDPA/QbN6QwSQghhFRgFChJiakqKcCqeT0oFJMqFfg89G6uBVUlOruaEEIIqcgoUJJSsbFsAmEx495CIYONpZ6MKiKEEEIIVyhQklJpq1sLa4YYgwf81FOpwOeBB2DNEONCtwwihBBCSMVCi3JIqY1v3xjN6qnDLTAK/uEfRCflWBnVg42lHoVJQgghpJKgQEnKpI1uLbTRrfXTWd6EEEIIqTwoUBKJUFVSoCBJCCGEVFI0h5IQQgghhJQJBUpCCCGEEFImFCgJIYQQQkiZUKAkhBBCCCFlQoGSEEIIIYSUCQVKQgghhBBSJhQoCSGEEEJImVCgJIQQQgghZUKBkhBCCCGElAkFSkIIIYQQUiYUKAkhhBBCSJlQoCSEEEIIIWVCgZIQQgghhJQJBUpCCCGEEFImFCgJIYQQQkiZUKAkhBBCCCFlQoGSEEIIIYSUCQVKQgghhBBSJhQoCSGEEEJImVCgJIQQQgghZUKBkhBCCCGElAkFSkIIIYQQUiYUKAkhhBBCSJlQoCSEEEIIIWVCgZIQQgghhJQJBUpCCCGEEFImFCgJIYQQQkiZUKAkhBBCCCFlQoGSEEIIIYSUCQVKQgghhBBSJhQoCSGEEEJImVCgJIQQQgghZUKBkhBCCCGElImiOA9ijAEA0tLSpFoMIYQQQgiRDwW5ryAHFkWsQJmeng4A0NHRKUNZhBBCCCGkvElPT0eNGjWKfAyPiRE7hUIh3r17B3V1dfB4PIkVSAghhBBC5BNjDOnp6WjQoAH4/KJnSYoVKAkhhBBCCPkVWpRDCCGEEELKhAIlIYQQQggpEwqUhBBCCCGkTChQEkIIIYSQMqFASQghhBBCyoQCJSGEEEIIKRMKlIQQQgghpEz+D0dp3Mti1gjuAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(15)\n",
    "\n",
    "n_points = 50\n",
    "n_partition = 4\n",
    "interval = [-30, 30]\n",
    "\n",
    "graph = generate_rand_points(Graph(), n_points, interval)\n",
    "points_x, points_y = graph.get_points_coords()\n",
    "\n",
    "weight = graph.calculate_weight(3, 4)\n",
    "pos = {i: (graph.get_points()[i].get(\"x\"), graph.get_points()[i].get(\"y\")) for i in graph.get_points()}\n",
    "\n",
    "G = nx.Graph(np.array(weight))\n",
    "nx.draw(G, node_size=50, pos=pos)\n",
    "plt.axis(\"on\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 779,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(points_x, points_y)\n",
    "plt.savefig('./plot/scattered-data.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# To Excel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 780,
   "metadata": {},
   "outputs": [],
   "source": [
    "weight_df = pd.DataFrame(weight)\n",
    "weight_df.to_csv('./output/weight.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# NSGA 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Objective Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 781,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f1_obj(edge_cut):\n",
    "    sum = 0\n",
    "    for i in edge_cut: \n",
    "        sum += edge_cut.get(i, 0)\n",
    "    return sum\n",
    "\n",
    "def f2_obj(graph, n):\n",
    "    sum = 0\n",
    "    for i in range(n - 1):\n",
    "        for j in range(i, n):\n",
    "            sum += np.abs(graph.get_partition_size(i + 1) - graph.get_partition_size(j + 1)) \n",
    "    return sum\n",
    "\n",
    "def f3_obj(graph, n):\n",
    "    sum = 0\n",
    "    for i in range(n):\n",
    "        sum += graph.get_partition_spread(i + 1)\n",
    "    return sum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 782,
   "metadata": {},
   "outputs": [],
   "source": [
    "mutation_rate = 0.8\n",
    "crossover_rate = 0.4\n",
    "n_iteration = 500\n",
    "n_population = 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 783,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:01<00:00, 984.91it/s]\n",
      "100%|██████████| 500/500 [3:41:23<00:00, 26.57s/it]  \n"
     ]
    }
   ],
   "source": [
    "populations = np.array([])\n",
    "\n",
    "for i in tqdm(range(n_population)):\n",
    "    new_graph = deepcopy(graph) \n",
    "    random_connected_partitions(new_graph, weight, n_partition)\n",
    "    populations = np.append(new_graph, populations)\n",
    "\n",
    "for i in tqdm(range(n_iteration)):\n",
    "    populations_with_offspring = np.copy(populations)\n",
    "\n",
    "    for i in range(n_population // 2):\n",
    "        a = deepcopy(populations[np.random.randint(0, n_population)])\n",
    "        b = deepcopy(populations[np.random.randint(0, n_population)])\n",
    "        \n",
    "        populations = np.append(new_graph, populations)\n",
    "        if(np.random.rand() <= crossover_rate):\n",
    "            a, b = crossover(a, b, n_partition)\n",
    "        if(np.random.rand() <= mutation_rate):\n",
    "            a.mutate_graph()\n",
    "        if(np.random.rand() <= mutation_rate):\n",
    "            b.mutate_graph()\n",
    "        \n",
    "        populations_with_offspring = np.append(populations_with_offspring, [a, b])\n",
    "\n",
    "    f_list = np.array([])\n",
    "    for i, population in enumerate(populations_with_offspring):\n",
    "        f_list = np.append(f_list, [i, f1_obj(population.get_edge_cut()), f2_obj(population, n_partition), f3_obj(population, n_partition)])\n",
    "\n",
    "    f_list = f_list.reshape(n_population * 2, 4)\n",
    "\n",
    "    fronts = non_dominated_sort(f_list)\n",
    "    fronts = fronts[:len(fronts) - 1]\n",
    "    crowding_distance_list = []\n",
    "\n",
    "    for i, front in enumerate(fronts):\n",
    "        crowding_distance_list.append([])\n",
    "        crowding_distance_list[i] = crowding_distance(front, f_list[:, 1:])\n",
    "\n",
    "    new_population = np.array([])\n",
    "\n",
    "    for i, front in enumerate(fronts):\n",
    "        front_temp = sorted([[front[j], crowding_distance_list[i][j]] for j in range(len(crowding_distance_list[i]))], key=lambda x: x[1], reverse=True)\n",
    "        for val in front_temp:\n",
    "            if(len(new_population) < n_population):\n",
    "                new_population = np.append(new_population, populations_with_offspring[val[0]])\n",
    "            else: \n",
    "                break\n",
    "        else:\n",
    "            continue\n",
    "        break\n",
    "\n",
    "    populations = np.copy(new_population)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "f_list = np.array([])\n",
    "\n",
    "for i, population in enumerate(populations):\n",
    "    f_list = np.append(f_list, [f1_obj(population.get_edge_cut()), f2_obj(population, n_partition), f3_obj(population, n_partition)])\n",
    "\n",
    "f_list = f_list.reshape(n_population, 3)\n",
    "\n",
    "px.scatter_3d(x=f_list[:, 0], y=f_list[:, 1], z=f_list[:, 2], opacity=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate XLSX"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 785,
   "metadata": {},
   "outputs": [],
   "source": [
    "columns = np.append(np.array(['f1', 'f2', 'f3']), ['var' for i in range(n_points)])\n",
    "output = pd.DataFrame(columns=columns)\n",
    "\n",
    "colums_point = np.append(np.array(['x', 'y']), values=[])\n",
    "output_point = pd.DataFrame(columns=colums_point)\n",
    "\n",
    "for population in populations: \n",
    "    f1, f2, f3 = f1_obj(population.get_edge_cut()), f2_obj(population, n_partition), f3_obj(population, n_partition)\n",
    "    var = population.get_partition()\n",
    "    data = np.append([f1, f2, f3], [val for val in var])\n",
    "    output.loc[len(output)] = data\n",
    "\n",
    "output_point[output_point.columns[0]] = populations[0].get_points_coords()[0]\n",
    "output_point[output_point.columns[1]] = populations[0].get_points_coords()[1]\n",
    "\n",
    "# output.to_excel('./output/output_var_1.xlsx')\n",
    "# output_point.to_csv('./output/output_point.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load CSV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1125,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_0 = pd.read_excel('./output/output_var_0.xlsx')\n",
    "output_1 = pd.read_excel('./output/output_var_1.xlsx')\n",
    "output_2 = pd.read_excel('./output/output_var_2.xlsx')\n",
    "\n",
    "output = pd.concat([output_0, output_1, output_2])\n",
    "output = output.iloc[:, 1:].reset_index()\n",
    "\n",
    "f1, f2, f3 = output.f1, output.f2, output.f3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1126,
   "metadata": {},
   "outputs": [],
   "source": [
    "populations = np.array([])\n",
    "for i in range(len(output)):\n",
    "    new_graph = deepcopy(graph) \n",
    "    for j in range(n_points):\n",
    "        if(j == 0):\n",
    "            new_graph.update_partition(j, output['var'][i])\n",
    "        else: \n",
    "            new_graph.update_partition(j, output[f'var.{j}'][i])\n",
    "    populations = np.append(populations, new_graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
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       "data": [
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         "hovertemplate": "f1=%{x}<br>f2=%{y}<br>f3=%{z}<extra></extra>",
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         "marker": {
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          "opacity": 0.25,
          "symbol": "circle"
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         "mode": "markers",
         "name": "",
         "scene": "scene",
         "showlegend": false,
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           "showlakes": true,
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           "radialaxis": {
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          },
          "scene": {
           "xaxis": {
            "backgroundcolor": "#E5ECF6",
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            "gridwidth": 2,
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            "showbackground": true,
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            "gridwidth": 2,
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            "gridwidth": 2,
            "linecolor": "white",
            "showbackground": true,
            "ticks": "",
            "zerolinecolor": "white"
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          },
          "shapedefaults": {
           "line": {
            "color": "#2a3f5f"
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          },
          "ternary": {
           "aaxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "baxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           },
           "bgcolor": "#E5ECF6",
           "caxis": {
            "gridcolor": "white",
            "linecolor": "white",
            "ticks": ""
           }
          },
          "title": {
           "x": 0.05
          },
          "xaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
           "ticks": "",
           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          },
          "yaxis": {
           "automargin": true,
           "gridcolor": "white",
           "linecolor": "white",
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           "title": {
            "standoff": 15
           },
           "zerolinecolor": "white",
           "zerolinewidth": 2
          }
         }
        }
       }
      }
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "px.scatter_3d(output, x='f1', y='f2', z='f3', opacity=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Interactive"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1195,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Nadir Point: [ 89.80123534 138.          73.48069231]\n",
      "Ideal Point: [22.33726026  6.         29.167319  ]\n"
     ]
    }
   ],
   "source": [
    "front = np.array([f1, f2, f3], dtype=object).T\n",
    "nadir = np.array([np.max(f1), np.max(f2), np.max(f3)])\n",
    "ideal = np.array([np.min(f1), np.min(f2), np.min(f3)])\n",
    "\n",
    "print(f\"Nadir Point: {nadir}\")\n",
    "print(f\"Ideal Point: {ideal}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1196,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 89.80123534 138.          73.48069231]\n",
      "[22.33726026  6.         29.167319  ]\n",
      "[ 89.80123534 138.          73.48069231]\n",
      "[22.33726026  6.         29.167319  ]\n"
     ]
    }
   ],
   "source": [
    "method = NautilusNavigator(front, ideal, nadir)\n",
    "\n",
    "req_first = method.start()\n",
    "print(req_first.content[\"reachable_ub\"])\n",
    "print(req_first.content[\"reachable_lb\"])\n",
    "\n",
    "reference_point = np.array([55, 50, 60])\n",
    "go_to_previous = False\n",
    "stop = False\n",
    "speed = 1\n",
    "\n",
    "response = dict(reference_point=reference_point, go_to_previous=False, stop=False, speed=1, user_bounds=[None, None, None])\n",
    "\n",
    "req_first.response = response\n",
    "req_snd = method.iterate(req_first)\n",
    "\n",
    "print(req_snd.content[\"reachable_ub\"])\n",
    "print(req_snd.content[\"reachable_lb\"])\n",
    "\n",
    "previous_requests = [req_first, req_snd]\n",
    "req = req_snd\n",
    "\n",
    "while method._step_number < 30:\n",
    "    req.response = response\n",
    "    req = method.iterate(req)\n",
    "\n",
    "    previous_requests.append(req)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1197,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAz8AAADeCAYAAAATpb75AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAfUUlEQVR4nO3de3RU9b338c9kMpMbJCEJ5CIkRFBumtgGCamAFiIhnPKApueI0i6KHGg1WCG1dlEFxOV60qNtFTxR+jy1ejwVL/QUevQglyKEQ1egJTyQophCpIInFxBMQiYkmST7+WNgJHJLyAw7M/v9WmsvZvbe2fOd9c0P1oe992/bDMMwBAAAAABBLsTsAgAAAADgeiD8AAAAALAEwg8AAAAASyD8AAAAALAEwg8AAAAASyD8AAAAALAEwg8AAAAASyD8AAAAALAEwg8AAAAASyD8AAAAALAEwg8AAAAASyD8AAACTmdnp5555hkNGzZMDodDw4YNM7skAEAACDW7AAAAeuqll17S8uXL9aMf/UgZGRlKTk42uyQAQACwGYZhmF0EAAA9kZWVpYSEBG3evNnsUgAAAYTL3gAAAaWlpUUHDhzQpEmTzC4FABBgCD8AgIAxf/58RUREqKOjQ08++aRsNptycnLMLgsAECC45wcAEDDmzJkjh8OhX/3qV1q1apXi4uKUlpZmdlkAgADBPT8AgIDyxBNPaNWqVWpsbFRICBcwAAC6j381AAABpaKiQmPGjCH4AAB6jH85AAAB5cCBA8rIyJAktba26sEHH1Rqaqqio6M1fvx4lZWVmVwhAKCvIvwAAAJGfX29jh8/rltvvVWS1N7erqFDh2rXrl2qr6/X4sWLNWPGDDU1NZlcKQCgLyL8AAACRkVFhSR5z/xERUVp+fLlSk1NVUhIiGbPni2n06nKykozywQA9FGEHwBAwDhw4ICkL8PPVx0+fFinT5/W8OHDr2dZAIAAQfgBAASMiooK3XDDDYqLi7to29mzZ/Wd73xHS5cuVUxMjAnVAQD6Oqa6BgAEjOzsbMXHx2vjxo1d1rvdbt1zzz2KiYnRb3/7W9lsNpMqBAD0ZYQfAEBA6+zs1AMPPCCXy6X169crNJTndwMALo1/IQAAAe373/++ampqtHnzZoIPAOCKOPMDAAhYn376qYYOHarw8HDZ7Xbv+vfff18TJ040sTIAQF9E+AEAAABgCcz2BgAAAMASCD8AAAAALIHwAwAAAMASAnJanM7OTlVXV6t///48ywEAAACwMMMwdObMGaWkpCgk5MrndgIy/FRXV2vIkCFmlwEAAACgjzh+/LgGDx58xX0CMvz0799fkucLRkdHm1qL2+3Wli1bNHXqVDkcDlNrgf/Q5+BHj62BPgc/emwNfu2zyyWlpHheV1dLUVG+PT66pSc9bmxs1JAhQ7wZ4UoCMvycv9QtOjq6T4SfyMhIRUdH85dsEKPPwY8eWwN9Dn702Br82ucLnhmm6GjCj0mupcfduR2GCQ8AAAAAWALhBwAAAIAlEH4AAAAAWEJA3vPTl4T8cZkm/O2Psp8skZh2O2jZDUMTvjjt3z6HhklRA88tCVK/QedeD/K8jxooOSP989kAAAAWQPjpJdvJSsW7DksusyuBP4VIipfM77Oz35dB6MJQ1G/QV9YPlCIGSFeZ6x4AAMBKCD+91DnhR9prjNHXv56l0AtnB0FQae/o0L595f7ts7tZcn0uuU6c+/Ok1HTiy3UdbVJbk2f54u9XP57NfkEgSpAi4qQQfkcvx97Zqa9XV8u+4Q+BHRoHDJXSJ0lDsj1nEwEAgBfhp5eMIdmqiT0lY+R0iSk1g5bhdqvmkxDz+mwYUmvjV0LRyQvC0rnX59e31EtGh9RU51lwVSGShkjSFyYX4gs7n5NCw6XUHOnGO6X0O6XkTMIvAMDyCD9AILDZpPAYzxI/7Or7t7dJzeeCkuuk1HRSOvuFJMPvpQaqjo4OfXTokEaPGiV7oJ7F7eyQaiukT0o9ofiT7Z5F8vzuDJ0o3XiXJwwl3MR9igAAyyH8AMEo1ClFp3gWdEun261PTm3UyOzpsgf6WVzDkE5+7AlBR0ulv++SWhqkj9/zLJLUP9kTgs6fGYq5wdyaAQC4Dgg/ABBsbDZp0CjPMv4HUke7VLNf+mSHJwwd2yOdqZEq3vIskhQ//FwYuksaOkGKjDPxCwAA4B+EHwAIdvZQafBYzzLpMcl9Vjq+58szQ9X/Tzp1xLPsfUWSzXOP0PmzQqk5TLMOAAgKhB8AsBpHhOcMz413ed6frfdcGne01BOIPq/0nCmq2S/9aZVkd0qDx3nCUPJtAT0bnq29QwMbK2SrCpdCA/TeLlyRrb1DMc1/91z+CQBfQfgBAKuLiJVGfcuzSFJjjXR055dhqPEz6dNdniXAhUr6hiRVmVwI/CZU0l2SOt/YLOU+JQ0ZZ25BAPoUwg8AoKvoZCnzPs9iGNLpT768X+j0UbOr6xXDMNTQ2KiY6GjZmO0uKBmGoc4Th2T/9E/SK3dLN+dLk5+Ukm4xuzQAfQDhBwBweTabZ3r1+GHS7fPNrqbX2t1ulW7cqOnTp8sR6LP64ZLa3W5t3/C6ckPLFVLxpvS396W/bZJuKZC++dPuPS4AQNAK3Au3AQAALuGsM0Ed31olFf5ZGnOPJEM6+DvpX2+X/vOHUsP/mF0iAJMQfgAAQHBKuEn6x9ek7++UbpoqGR3Svn+TVn9N2vyE5Prc7AoBXGeEHwAAENySM6U566R5m6TUb0gdrVLZv0qrMqXt/9vzEGAAlkD4AQAA1pCWI83bKH3nPzyBqK1JKv0XTwj60yqprdnsCgH4GeEHAABYh80mDc+VFpZK//S6lHCzdPYLaetyz+Vwf/m11N5mdpUA/ITwAwAArMdmk0bPlB4qk2a+JMWkSk210n/9SCq5XTrwttTZYXaVAHyM8AMAAKzLHip9bY70yF4p/zkpapD0xd+l9Qull++QDr3ned4VgKBA+AEAAAgNk7IXSo/ul6askMJjpJOHpLfnSP93slS13ewKAfgA4QcAAOA8Z5Q0sUh6tEKa+JjkiJSq90n/Pkv6txnS8b+YXSGAXgg1uwAAAIA+JyJWmrJMyv6+9N+/kPb+Rjq6U3ol1/PMoISbza7Q0kI6OzTms6MK+WOZFGL37cFbLpjw4o9PSeFO3x7/vPAYKeOfpAFD/XN8XBLhBwAA4HL6DZLy/0XKKfRMi71/rXR4i2eBaeyShkvSST8cvO2Ce7z2/Epy2vzwIefsKJZGTJfGPyylfcMzEQf8ivADAABwNbGp0swS6RuPSgf/Q2pvMbsiS+vo7NQnVVW6cdgw2UN8fBfH2TZJP/O8Hl8oRfjpzE/NAemT7dLH73mWpFs9IeiWAs89aPALwg8AAEB3DbxZ+uZSs6uwvE63Wx+1bNTQydNldzh8e3CXS97wM+VJKSrKt8e/0ImPpT1rpANvSbV/lTY85Hnm1O3/LI190HPmET7FhAcAAACAGQaNlGa8IBV95JllsH+K5DrpuRzu+THS+oekmgqzqwwqhB8AAADATJFxnlkGF1dI3/6NNPh2qaNNOrBW+tVE6dV/8Dxzigfv9hqXvQEAAAB9gd3huefnlgLps73S7peljzZIn+7yLLFpnhkIv/Ydz2xx6DHO/AAAAAB9zeCx0rdf8TxzakKRFDFAqv9U2vxT6Zejpfd/Ip2qMrvKgEP4AQAAAPqqmBuk3BXSko+kGaukgSOltibPRAkvZklrZ0uflEqGcfVjgfADAAAA9HnOSCnre9LDu6Xvrvc8bFeG9Lf3pdf/l/TyHdK+f5fcTMN+JYQfAAAAIFDYbNKwydKcddKivdLtCyRHpHTiQ+k/F0nPj5Y+eEY6U2t2pX0SEx4AAAAAgSjhJukffi5NfsJz1ufP/0dqOC7tfE76719IDj8+o0iSouKlRw/49zN8jPADAAAABLKIAdIdP5TGPyxV/pdnlrhjZVLbGf9+riPcv8f3A8IPAAAAEAzsodLomZ6lsUZqP+vfz7PZ/Xt8PyD8AAAAAMEmOtnsCvokJjwAAAAAYAk9Dj87d+7UjBkzlJKSIpvNpg0bNnTZbhiGli9fruTkZEVERCg3N1eHDx/uss/p06c1Z84cRUdHKzY2VvPnz1dTU1OvvggAAAAAXEmPw4/L5VJmZqZKSkouuf3ZZ5/V6tWrtWbNGu3Zs0dRUVHKy8tTS8uXc47PmTNHH374obZu3ar33ntPO3fu1MKFC6/9WwAAAADAVfT4np/8/Hzl5+dfcpthGHrhhRf05JNPaubMmZKk119/XYmJidqwYYNmz56tQ4cOadOmTfrLX/6isWPHSpJefPFFTZ8+XT//+c+VkpLSi68DAAAAAJfm03t+jh49qtraWuXm5nrXxcTEKDs7W2VlZZKksrIyxcbGeoOPJOXm5iokJER79uzxZTkAAAAA4OXT2d5qaz1Pkk1MTOyyPjEx0buttrZWgwYN6lpEaKji4uK8+3xVa2urWltbve8bGxslSW63W26322f1X4vzn292HfAv+hz86LE10OfgR4+twa99drvluPBz+F0yRU963JPfg4CY6rq4uFgrV668aP2WLVsUGRlpQkUX27p1q9kl4Dqgz8GPHlsDfQ5+9Nga/NFne0uLvnXu9ebNm9URHngP8gwm3elxc3Nzt4/n0/CTlJQkSaqrq1Ny8pdzi9fV1em2227z7nPixIkuP9fe3q7Tp097f/6rli5dqqKiIu/7xsZGDRkyRFOnTlV0dLQvv0KPud1ubd26VXfffbccDsfVfwABiT4HP3psDfQ5+NFja/Brn10u78u8vDwpKsq3x0e39KTH568K6w6fhp/09HQlJSVp27Zt3rDT2NioPXv26KGHHpIk5eTkqL6+XuXl5crKypIkffDBB+rs7FR2dvYljxsWFqawsLCL1jscjj7zF1tfqgX+Q5+DHz22Bvoc/OixNfilzxccz+FwdHmP6687Pe7J70CPw09TU5OOHDnifX/06FHt379fcXFxSk1N1eLFi/XMM8/opptuUnp6upYtW6aUlBTNmjVLkjRq1ChNmzZNCxYs0Jo1a+R2u7Vo0SLNnj2bmd4AAAAA+E2Pw8/evXv1zW9+0/v+/OVoc+fO1WuvvabHH39cLpdLCxcuVH19vSZMmKBNmzYp/ILrJd944w0tWrRIU6ZMUUhIiAoKCrR69WoffB0AAAAAuLQeh5+77rpLhmFcdrvNZtPTTz+tp59++rL7xMXFae3atT39aAAAAAC4Zj59zg8AAAAA9FWEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACWQPgBAAAAYAmEHwAAAACW4PPw89RTT8lms3VZRo4c6d3e0tKiwsJCxcfHq1+/fiooKFBdXZ2vywAAAACALvxy5mfMmDGqqanxLrt27fJuW7Jkid59912tW7dOpaWlqq6u1r333uuPMgAAAADAK9QvBw0NVVJS0kXrGxoa9Morr2jt2rWaPHmyJOnVV1/VqFGjtHv3bo0fP94f5QAAAACAf8LP4cOHlZKSovDwcOXk5Ki4uFipqakqLy+X2+1Wbm6ud9+RI0cqNTVVZWVlPQ4/rjaX7G12X5ffI263Wy0dLXK1ueQwHKbWAv+hz8GPHlsDfQ5+9Nga/NrnNpfkuMRrXFc96bGrzdXt4/o8/GRnZ+u1117TiBEjVFNTo5UrV2rixIk6ePCgamtr5XQ6FRsb2+VnEhMTVVtbe9ljtra2qrW11fu+sbFRkpTyixQp3Nff4Br91ewCcF3Q5+BHj62BPgc/emwN/urzE+f+XJ3opw9At3Wnxy3dP5zPw09+fr73dUZGhrKzs5WWlqZ33nlHERER13TM4uJirVy50lclAgAAALAgv1z2dqHY2FjdfPPNOnLkiO6++261tbWpvr6+y9mfurq6S94jdN7SpUtVVFTkfd/Y2KghQ4bo0x9+qujoaH+Wf1Vut1sffPCBJk+eLIeD86LBij4HP3psDfQ5+NFja/Brn5tdctww2PM5//OZFBnl2+OjW3rS48bGRqX9LK1bx/V7+GlqalJVVZW++93vKisrSw6HQ9u2bVNBQYEkqbKyUseOHVNOTs5ljxEWFqawsLCL1sdGxSo6yvzwE24PV2xULH/JBjH6HPzosTXQ5+BHj63Bv312SO5zLyNjpSjCjxl60uOQju5PYO3z8PPYY49pxowZSktLU3V1tVasWCG73a77779fMTExmj9/voqKihQXF6fo6Gg98sgjysnJYaY3AAAAAH7l8/Dz2Wef6f7779epU6c0cOBATZgwQbt379bAgQMlSc8//7xCQkJUUFCg1tZW5eXl6aWXXvJ1GQAAAADQhc/Dz1tvvXXF7eHh4SopKVFJSYmvPxoAAAAALqv7F8gBAAAAQAAj/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwBMIPAAAAAEsg/AAAAACwhFCzCwhkhmGoua1drR1Sc1u7HIbN7JLgJ243fQ529Nga6HPwo8fW4Nc+t7Ur8tzL5rZ2ydHu2+MHmQiHXTZb4Iw1m2EYhtlF9FRjY6NiYmLU0NCg6Oho0+pobmvX6OWbTft8AAAA+FZEW4sOPf9tSdKoJb/TWWe4yRX1bR89nadIp+/Pp7jdbm3cuFHTp0+Xw+G44r49yQZc9gYAAADAErjsrRciHHYdWDZZmzdvUV7e1KumUgQut9tNn4McPbYG+hz86LE1+LXPLpf0vOdl+bJcKSrKt8cPMhEOu9kl9Iip4aekpETPPfecamtrlZmZqRdffFHjxo0zs6QesdlsinSGKswuRTpD5XCQJYOV22bQ5yBHj62BPgc/emwNfu2z+8vjRTpDJT9c0gXzmHbZ29tvv62ioiKtWLFC+/btU2ZmpvLy8nTixAmzSgIAAAAQxEwLP7/85S+1YMECzZs3T6NHj9aaNWsUGRmp3/zmN2aVBAAAACCImRJ+2traVF5ertzc3C8LCQlRbm6uysrKzCgJAAAAQJAz5SLGzz//XB0dHUpMTOyyPjExUR9//PFF+7e2tqq1tdX7vqGhQZJ0+vRpud1u/xZ7FW63W83NzTp16hQ3VgYx+hz86LE10OfgR4+twa99drl0/ojuU6eklhbfHh/d0pMenzlzRpLnGZxXExB3cBUXF2vlypUXrU9PTzehGgAAAFhCWprZFaAHzpw5o5iYmCvuY0r4SUhIkN1uV11dXZf1dXV1SkpKumj/pUuXqqioyPu+s7NTp0+fVnx8vOlPlG1sbNSQIUN0/PhxUx+4Cv+iz8GPHlsDfQ5+9Nga6HPw60mPDcPQmTNnlJKSctXjmhJ+nE6nsrKytG3bNs2aNUuSJ9Bs27ZNixYtumj/sLAwhYWFdVkXGxt7HSrtvujoaAafBdDn4EePrYE+Bz96bA30Ofh1t8dXO+NznmmXvRUVFWnu3LkaO3asxo0bpxdeeEEul0vz5s0zqyQAAAAAQcy08HPffffp5MmTWr58uWpra3Xbbbdp06ZNF02CAAAAAAC+YOqEB4sWLbrkZW6BJCwsTCtWrLjosjwEF/oc/OixNdDn4EePrYE+Bz9/9dhmdGdOOAAAAAAIcKY85BQAAAAArjfCDwAAAABLIPwAAAAAsATCDwAAAABLIPz0UklJiYYOHarw8HBlZ2frz3/+s9klwUeeeuop2Wy2LsvIkSPNLgu9tHPnTs2YMUMpKSmy2WzasGFDl+2GYWj58uVKTk5WRESEcnNzdfjwYXOKxTW5Wo+/973vXTS2p02bZk6xuCbFxcW6/fbb1b9/fw0aNEizZs1SZWVll31aWlpUWFio+Ph49evXTwUFBaqrqzOpYlyL7vT5rrvuumg8/+AHPzCpYvTUyy+/rIyMDO+DTHNycvT+++97t/tjHBN+euHtt99WUVGRVqxYoX379ikzM1N5eXk6ceKE2aXBR8aMGaOamhrvsmvXLrNLQi+5XC5lZmaqpKTkktufffZZrV69WmvWrNGePXsUFRWlvLw8tbS0XOdKca2u1mNJmjZtWpex/eabb17HCtFbpaWlKiws1O7du7V161a53W5NnTpVLpfLu8+SJUv07rvvat26dSotLVV1dbXuvfdeE6tGT3Wnz5K0YMGCLuP52WefNali9NTgwYP1s5/9TOXl5dq7d68mT56smTNn6sMPP5Tkp3Fs4JqNGzfOKCws9L7v6OgwUlJSjOLiYhOrgq+sWLHCyMzMNLsM+JEkY/369d73nZ2dRlJSkvHcc89519XX1xthYWHGm2++aUKF6K2v9tgwDGPu3LnGzJkzTakH/nHixAlDklFaWmoYhmfcOhwOY926dd59Dh06ZEgyysrKzCoTvfTVPhuGYdx5553Go48+al5R8LkBAwYYv/71r/02jjnzc43a2tpUXl6u3Nxc77qQkBDl5uaqrKzMxMrgS4cPH1ZKSopuvPFGzZkzR8eOHTO7JPjR0aNHVVtb22Vcx8TEKDs7m3EdZHbs2KFBgwZpxIgReuihh3Tq1CmzS0IvNDQ0SJLi4uIkSeXl5XK73V3G8siRI5WamspYDmBf7fN5b7zxhhISEnTLLbdo6dKlam5uNqM89FJHR4feeustuVwu5eTk+G0ch/qiWCv6/PPP1dHRocTExC7rExMT9fHHH5tUFXwpOztbr732mkaMGKGamhqtXLlSEydO1MGDB9W/f3+zy4Mf1NbWStIlx/X5bQh806ZN07333qv09HRVVVXppz/9qfLz81VWVia73W52eeihzs5OLV68WHfccYduueUWSZ6x7HQ6FRsb22VfxnLgulSfJemBBx5QWlqaUlJSVFFRoZ/85CeqrKzU73//exOrRU/89a9/VU5OjlpaWtSvXz+tX79eo0eP1v79+/0yjgk/wGXk5+d7X2dkZCg7O1tpaWl65513NH/+fBMrA9Abs2fP9r6+9dZblZGRoWHDhmnHjh2aMmWKiZXhWhQWFurgwYPckxnkLtfnhQsXel/feuutSk5O1pQpU1RVVaVhw4Zd7zJxDUaMGKH9+/eroaFBv/vd7zR37lyVlpb67fO47O0aJSQkyG63XzTjRF1dnZKSkkyqCv4UGxurm2++WUeOHDG7FPjJ+bHLuLaWG2+8UQkJCYztALRo0SK999572r59uwYPHuxdn5SUpLa2NtXX13fZn7EcmC7X50vJzs6WJMZzAHE6nRo+fLiysrJUXFyszMxMrVq1ym/jmPBzjZxOp7KysrRt2zbvus7OTm3btk05OTkmVgZ/aWpqUlVVlZKTk80uBX6Snp6upKSkLuO6sbFRe/bsYVwHsc8++0ynTp1ibAcQwzC0aNEirV+/Xh988IHS09O7bM/KypLD4egylisrK3Xs2DHGcgC5Wp8vZf/+/ZLEeA5gnZ2dam1t9ds45rK3XigqKtLcuXM1duxYjRs3Ti+88IJcLpfmzZtndmnwgccee0wzZsxQWlqaqqurtWLFCtntdt1///1ml4ZeaGpq6vI/gkePHtX+/fsVFxen1NRULV68WM8884xuuukmpaena9myZUpJSdGsWbPMKxo9cqUex8XFaeXKlSooKFBSUpKqqqr0+OOPa/jw4crLyzOxavREYWGh1q5dqz/84Q/q37+/9/r/mJgYRUREKCYmRvPnz1dRUZHi4uIUHR2tRx55RDk5ORo/frzJ1aO7rtbnqqoqrV27VtOnT1d8fLwqKiq0ZMkSTZo0SRkZGSZXj+5YunSp8vPzlZqaqjNnzmjt2rXasWOHNm/e7L9x3PsJ6aztxRdfNFJTUw2n02mMGzfO2L17t9klwUfuu+8+Izk52XA6ncYNN9xg3HfffcaRI0fMLgu9tH37dkPSRcvcuXMNw/BMd71s2TIjMTHRCAsLM6ZMmWJUVlaaWzR65Eo9bm5uNqZOnWoMHDjQcDgcRlpamrFgwQKjtrbW7LLRA5fqryTj1Vdf9e5z9uxZ4+GHHzYGDBhgREZGGvfcc49RU1NjXtHosav1+dixY8akSZOMuLg4IywszBg+fLjx4x//2GhoaDC3cHTbgw8+aKSlpRlOp9MYOHCgMWXKFGPLli3e7f4YxzbDMIxrj04AAAAAEBi45wcAAACAJRB+AAAAAFgC4QcAAACAJRB+AAAAAFgC4QcAAACAJRB+AAAAAFgC4QcAAACAJRB+AAAAAFgC4QcAAACAJRB+AAAAAFgC4QcAAACAJRB+AAAAAFjC/wd+brr8WwogjwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "req_len = len(previous_requests)\n",
    "prev_idx = 26\n",
    "\n",
    "f1_lb, f1_ub = np.array([]), np.array([])\n",
    "f2_lb, f2_ub = np.array([]), np.array([])\n",
    "f3_lb, f3_ub = np.array([]), np.array([])\n",
    "\n",
    "for prev_req_data in previous_requests:\n",
    "    f1_lb, f1_ub = np.append(f1_lb, prev_req_data.content[\"reachable_lb\"][0]), np.append(f1_ub, prev_req_data.content[\"reachable_ub\"][0])\n",
    "    f2_lb, f2_ub = np.append(f2_lb, prev_req_data.content[\"reachable_lb\"][1]), np.append(f2_ub, prev_req_data.content[\"reachable_ub\"][1])\n",
    "    f3_lb, f3_ub = np.append(f3_lb, prev_req_data.content[\"reachable_lb\"][2]), np.append(f3_ub, prev_req_data.content[\"reachable_ub\"][2])\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "plt.grid()\n",
    "plt.title('$f_1$')\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f1_lb)\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f1_ub)\n",
    "plt.axvline(prev_idx, c='r')\n",
    "plt.axhline(reference_point[0], c='g')\n",
    "plt.savefig('plot/nautilus/f1_1.png')\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "plt.grid()\n",
    "plt.title('$f_2$')\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f2_lb)\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f2_ub)\n",
    "plt.axvline(prev_idx, c='r')\n",
    "plt.axhline(reference_point[1], c='g')\n",
    "plt.savefig('plot/nautilus/f2_1.png')\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "plt.grid()\n",
    "plt.title('$f_3$')\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f3_lb)\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f3_ub)\n",
    "plt.axvline(prev_idx, c='r')\n",
    "plt.axhline(reference_point[2], c='g')\n",
    "plt.savefig('plot/nautilus/f3_1.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1198,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[24.64287491  6.         40.83100625]\n",
      "[ 89.80123534 118.          73.48069231]\n",
      "27\n"
     ]
    }
   ],
   "source": [
    "req_prev = previous_requests[prev_idx]\n",
    "print(req_prev.content[\"reachable_lb\"])\n",
    "print(req_prev.content[\"reachable_ub\"])\n",
    "print(req_prev.content[\"step_number\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1199,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_ref_point = np.array([60, 65, 68])\n",
    "req_prev.response[\"go_to_previous\"] = True\n",
    "req_prev.response[\"reference_point\"] = new_ref_point\n",
    "new_response = req_prev.response"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1200,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "565\n"
     ]
    }
   ],
   "source": [
    "req_prev = method.iterate(req_prev)\n",
    "req = req_prev\n",
    "\n",
    "previous_requests = [req_first, req_prev]\n",
    "\n",
    "new_response[\"go_to_previous\"] = False\n",
    "\n",
    "while method._step_number < 100:\n",
    "    req.response = new_response\n",
    "    req = method.iterate(req)\n",
    "\n",
    "    previous_requests.append(req)\n",
    "\n",
    "print(req.content[\"reachable_idx\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1201,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "req_len = len(previous_requests)\n",
    "\n",
    "f1_lb, f1_ub = np.array([]), np.array([])\n",
    "f2_lb, f2_ub = np.array([]), np.array([])\n",
    "f3_lb, f3_ub = np.array([]), np.array([])\n",
    "\n",
    "for prev_req_data in previous_requests:\n",
    "    f1_lb, f1_ub = np.append(f1_lb, prev_req_data.content[\"reachable_lb\"][0]), np.append(f1_ub, prev_req_data.content[\"reachable_ub\"][0])\n",
    "    f2_lb, f2_ub = np.append(f2_lb, prev_req_data.content[\"reachable_lb\"][1]), np.append(f2_ub, prev_req_data.content[\"reachable_ub\"][1])\n",
    "    f3_lb, f3_ub = np.append(f3_lb, prev_req_data.content[\"reachable_lb\"][2]), np.append(f3_ub, prev_req_data.content[\"reachable_ub\"][2])\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "plt.grid()\n",
    "plt.title('$f_1$')\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f1_lb)\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f1_ub)\n",
    "plt.axhline(reference_point[0], c='g')\n",
    "plt.savefig('plot/nautilus/f1_2.png')\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "plt.grid()\n",
    "plt.title('$f_2$')\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f2_lb)\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f2_ub)\n",
    "plt.axhline(reference_point[1], c='g')\n",
    "plt.savefig('plot/nautilus/f2_2.png')\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "plt.grid()\n",
    "plt.title('$f_3$')\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f3_lb)\n",
    "plt.plot(np.linspace(0, req_len - 1, req_len), f3_ub)\n",
    "plt.axhline(reference_point[2], c='g')\n",
    "plt.savefig('plot/nautilus/f3_2.png')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1202,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ByEfGjx/PhQsX2Ldv31ufQ5IkmjdvzrFjx9i/fz8mJia0bduWmjVrsm3bNtFimQvWrVvH/v378fLyQqPRcOToEUpWLYW5myXmpSwxdjIVYdIAKleuzLVr19K/HjhwIMnJyaxatcqAVRVOIlAKgiDkI02bNuW9995j6tSp2T6XJEk0bdqUo0ePcujQISwtLWnXrh3Vq1fn77//Rq/X50DFQlhYGCNGjODzzz+nZcuWnD9/nri4OJo0aWLo0t55z4/0BihSpAidO3dmwYIFWe6rLGSNCJSCIAj5iCRJTJgwgSNHjnDy5MkcO+8HH3zAoUOHOHLkCHZ2dnTo0IFq1arx119/iWCZTaNGjUKv1zN37lwADh48iKWlJZ6engauTPDw8CA4OJiwsGfzf3799df4+vry77//GrCywkcESkEQhHymbdu2uLu7M23atBw/d8OGDTlw4ADHjh3D2dmZzz77jCpVqrBx40bRYvMW9u3bx9q1a5k9ezZOTmnzTR48eJBGjRqhUok5Jg2tcuXKABlaKWvWrEm9evWYN28eKZHJxN2LJuZWJHEPYtLXYBfenAiUgiAI+YxCoWDcuHHs2LGDy5cv58o16tevz3///cfJkycpVqwYXbp0wcPDgw0bNohgmUUJCQkMGDCADz74gJ49ewKQlJTEiRMnxO3ufKJs2bJoNJoM/ShlWeaHQd8x5P1+BGy9T+jRQMJPBhN6OAC/jXcIORxAcmjmUfrCq4lAKQiCkA916dKFkiVL8ssvv+TqderWrcvu3bs5ffo0bm5ufPHFF1SqVIl169ah1YrWmlf56aefCAgIYOnSpekDbk6dOkVycrIIlPmEWq2mYsWK6S2Usk4m9EggpZOLU6101cwHyBDvG0PgDl9ibkbmcbUFmwiUgiAI+ZBarWbs2LFs2rSJu3fv5vr1ateuzc6dOzl37hzlypXjyy+/xN3dnbVr14pg+QKXL19m1qxZfPfdd5QrVy79+QMHDmBvb59+q1UwvKcDc2RZJvREIPEPYgBQKpQvPuDJJAjhp4KfrW4kvJYIlIIgCPlUr169cHBwYMaMGXl2zZo1a7J9+3YuXLiAu7s7PXr0oEKFCvz222+vXGf8XaLT6ejXrx8VK1ZkzJgxGbYdPHiQJk2aoFCIj9f84unUQQkBccTfSwuTtrWdcOtVEbdeFVFbpU0yb1vLkaIdS6c/rzJXE3YyCH2q6AKSFeI7XhAEIZ8yNjZm5MiRrF69moCAgDy9tqenJ1u3buXixYtUrVqV3r17U758eVasWEFKSkqe1pLfLFq0iPPnz7Ns2TI0mmcr3sTGxnL27Flxuzuf8fDwIC4ujpCLgSCBSVFzLCvYoNdmnN1AUkjEP4hBn/IsQMpambgnIVR4NREoBUEQ8rEBAwZgZmbG7NmzDXL9atWqsWXLFi5fvkzNmjXp378/5cqVY9myZe9ksPTz82PixIkMGjSIunXrZth27NgxdDqdCJT5jIeHB/aW9shhOhRGShzquxB1OSzTiO7w04+JvBCKXptx4n/RlzJrRKAUBEHIxywtLRk6dChLly4lPDzcYHVUqVKFTZs2cfXqVerUqcOAAQMoU6YMXl5eJCcnG6yuvCTLMoMGDcLa2vqFE88fPHiQokWLUqZMGQNUJ7xM0aJFcS9VEQkJhwZFSI1JIepy2OsPfEIb8+794vQ2RKAUBEHI54YNGwbAggULDFwJVKpUiT///JNr167RoEEDhgwZQpkyZVi8eDFJSUmGLi9Xbd68mZ07d7Jo0SIsLS0zbX/af1IssZi/SJJE+TLlMC9jhYmLKZGXwlCZq5EUaf9OKjM1kurl/2ayXixVmhUiUAqCIORz9vb29O/fnwULFhAbG2vocgBwd3dn/fr1XL9+nQ8++IBhw4ZRunRpFixYQGJi4ZvDLzIykqFDh9K+fXvatWuXaXt4eDiXLl0St7vzKediLmkhUqnA5cPiFOtYBpWZOm3bh8UxKWL20mMVahGVskL8XxIEQSgARo0aRXx8PL/++quhS8mgfPny/P7779y4cYPmzZszcuRISpUqxbx580hISDB0eTnmm2++ITEx8aWtxEeOHEGWZRo3bpzHlQlZ4VzGhfuX7vH4oH/642kfyvDTwSSHJmFS1BzzstYonrRWmrlZYuZmgZlb5tZoITMRKAVBEAqAokWL0qNHD+bMmZMvby2XK1eO1atXc/PmTVq2bMno0aMpVaoUs2fPJj4+3tDlZcvRo0dZvnw5v/zyC66urgAkhyYSejyQwB0P8N96H9tHZgz/bChFXVwNXK3wIh4eHizdtJz4hzEkPIwl4WFs+ijvxMB4dIlarCrb4lDfBYUmbX5K25qO2NRwxKKCjSFLLzAkWZZF5wBBEIQC4M6dO1SoUIHFixczYMAAQ5fzSvfv32fatGmsXr0aGxsbRo8ezaBBgzA3Nzd0aW8kOTmZqlWrYmdnx7Fjx0iNSCbsRBApEckgkT4Jtl7WIyGhUCmwrGSLTXWH9D56guFFRkZSqpgbZxYeQy2p0v/dXkkCkyJmOLconuv1FQaihVIQBKGAKFu2LJ06dWL69On5fvWaUqVKsXz5cu7cuUP79u359ttvcXNz45dffsk3/UCzYtq0ady/f59ly5aRHJJI0K6HpEQ+GdX+XChRSAokSULWyURfCSfkkL8YzJGP2NjYYGZtzr8P95KcmoxW95r3jwRqKyMcPxAtzlklWiiFd54syyQmppCUlIKZmTFGRmpDlyQIL3X58mWqVavG77//Trdu3QxdTpb5+fnxyy+/sHLlSszNzRk5ciRDhw594Wjp/OL69etUq1aNcePG8d3Y7wj45x6yNusfmZaVbLGr5ZSLFQpvomXLljx8+BBtdCr/TN2Eqd44QyszkP61WUkL7Os9u/0tvJ4IlMI7KzY2kV27vdmy5RT+ARHpz1esWJROHevS+IPKIlwK+VLr1q3x9fXlypUrBW6JP39/f6ZPn87y5csxNTVlxIgRDBs2DCsrK0OXloFer6dhw4aEhoZy+fJl4q9EIykkLMpaobLUIEkSQbsfkhScNvDI4QNXjJ1MUZmqAHjw2w1QQPHOZVEaqwz5UoQnOnfuzKZNm/jmm2+YNm0ayWFJxNyIIC4ohgC/AByKOOJYwRnL8jaozMXP/jclAqXwTjp67DqTfthISkra2sTPvwsUCgm9XsbW1pzZM3tQvry45SHkLydOnKB+/fps3bqVTz75xNDlvJWAgABmzJjBsmXLMDIyYvjw4QwfPhxra2tDlwbA0qVLGTBgAIcPH6ZBvQb4/XkHq0q2KNQKTEtYoLbQZAyUjYqgjU3Fuqo98CRQkjaww8rDzmCvQ0jz6NEjKlWqRGxsLOHh4dja2mbYVrx4cXbv3s1HH31kwCoLtoL1q60g5IDDR64xbvw6UlJSkeWMYRJA/6TfU1RUPAMGLePW7UADVCkIL1evXj0aNmzI1KlTKahtAq6ursyfP5/79+/Tu3dvZsyYQYkSJfj++++JiIh4/QlyUWBgIGPHjqVPnz40atSIpKB45FQ9UZfCiDgXgi5Rl+mY0COBL1x9Je6BWAfa0JKSkujQoQNmZmlzTd66dSvD9qfrsb+LS4nmJBEohXdKaGg0k37YiCRlDpL/T6+XSU3VMmbsGrTazB8ggmBIEyZM4OzZsxw8eNDQpWSLi4sLc+bM4f79+/Tr149Zs2ZRsmRJJk6caLClJr/++mtMTEyYOXMmALqkt3//65Ly9+Cpd8GwYcO4cuUKmzdvRqlUcvXq1QzbjYyMAN6ZJURziwiUwjtl2/ZzmJpo+GVqN/7ZMpZDB37k7y1j+ap/cyRJolKlYixa2Jed/07k0IEfWbt6GNWrl+LoseuGLl0QMmjRogWenp5MmzbN0KXkCGdnZ2bNmoWvry8DBw5k/vz5lCxZknHjxhEaGppndWzfvp3Nmzczf/58bGzS5h/MzvQ/Yuogw1qxYgXLly9nyZIl1KtXj7Jly4pAmUtEoBTeGVqtjr//OYOJqRElSjqybfs55i/YCbJMj+6N6dC+DsWL2SPLsGbtIVb9dpCiRe34/ttOnDx16/UXEIQ8JEkS48eP58CBA5w5c8bQ5eQYR0dHpk+fjq+vL0OGDGHx4sW4ubkxduxYQkJCcvXaMTExDBo0iFatWvHZZ5+lP6+y1LzdCSVQv+2xQradO3eOwYMH079/f3r37g1A5cqVuXbtWob9RKDMGSJQCu8M/4BwoqLiCQ2NoesXc1m95hBbt53lz40nAChb1oX9B64wdNgKNv11kt/XHeHU6VsolQpkvVxg+6oJhdenn35K+fLlC00r5fPs7e2ZNm0avr6+DB8+nF9//ZWSJUsyatQogoODc+Wa3377LVFRUSxZsgRJetayaGRvjNpKg5GTCeZlrVEap00l83SpPgAzNwvMyzwbqW5e1hoTV3MsyotVVgwhNDSUDh06UK1atQzLZXp4eHD16tUMP88VCgUqlUoEymwSgVJ4ZyTEp/2w0On06QNvJEni/brlATh//i6pqc/6StlYm1HJvRjJyalcuuxLcnJq3hctCK+gVCoZN24c27Zty9TqUljY2dnx888/4+vry+jRo1mxYgVubm6MGDGCoKCgHLvOmTNnWLRoET///DMlSpTIsC0wMJANRzdhUdYah/ou6a2O1h52ONR3AcCmhiP277ukH+NQ3wXrqnaYFitYKwMVBlqtls8//5ykpCQ2b96c3gIJaYEyPDw80y8lRkZGIlBmk5gcS3hnmJhkvPWkViv5bmInatUqy6a/TrJv/5X0bQ4OlsyZ1RNrazN++GkTwcFRYk5KIV/64osvmDRpEtOnT+f33383dDm5xtbWlp9++omRI0cyf/585s2bh5eXF/379+ebb75JX2P7VXRJWuLuxZAanYysl1EaKTEtboHCRkW/fv2oUaMGQ4cOTd9fr9ezfPlyxo4di0aloYy5G1XcKqNUZJ7s2n/zvUzPOTUrKvpQGsDEiRM5dOgQ+/fvp1ixYhm2eXh4AHDt2jVcXJ79AqDRaESgzCbRQim8M1xd7TA3NwbA3NyYuXN60axZFVauOsC8+TvS9ytVyollvw6gSBFbxo1fx+HD16hQwTXDLTBByC/UajWjR4/mjz/+4P79+4YuJ9dZW1szadIkfH19mThxIuvWraNUqVIMGTKER48evfAYbXwqIUcD8Nt4h4izj4m9HUXc3WiifSII2vWQ66svUtK0GMuWLUOpTAuLt27d4oMPPmDAgAEUL16csIgwjkefwdjB9NUFSmkPh4ZFMC1mkcOvXnidLVu2MGPGDKZPn07jxo0zbXdzc8PExOSFA3PEtEHZIwKl8M7QaFS0+6QWZmZG/LrkKzyrl+LU6Vs8fBhKs6ZVqOFZirJlXPBa3B8nJ2u2bTuLqakRTRp70Ktn5h9MgpBf9OnTB1tb2/Rpbt4FVlZWfPfdd/j6+jJp0iT++OMPypQpw8CBA/Hz80vfLyU6mcB/HxB/Pwb0T56Un3sAFkpz5n81i5IUJSUlhSlTplC1alX8/f2pU6cO169fZ8GCBcxeMIcirUpi+54jSrPn7lhIz/40K2FBkdYlMS+dv1b+eRfcuHGDnj170qlTJ0aNGvXCfZRKJZUqVXphoBQtlNkjVsoR3imBgREMG76SzZvGZNrmffE+u3Z58+3Ejpm2/fPPVj74oFH6NCKCkN9MmzaNH374AV9f3wy38t4VsbGxLFmyhFmzZhEdHU2vXr0YN3ocSm8tukRtxvWaX8HrwHLm/LmA/v37c+zYMR4+fMjGjRtp2bJlhv1kWSYpKCHt9rlORmGkxMTVPH3pRSFvxcTEUKtWLZRKJWfOnMHc/OV9V3v37s2VK1c4f/58+nPly5enTZs2zJo1Ky/KLZREoBTeOTt3XWDK1C1Z2FNGpVLSorkzM2dMxMzMjKVLl9KmTZtcr1EQ3lR0dDTFixfnq6++YsaMGYYux2Di4uLw8vJi5syZdH3/M6Z5TUdja4xCpUCXpCX+YSwR50JAL2Ne1grrKvaozFSkxqYSeSGU0DvBXDK9yeixozE2NmbHjh1UrlzZ0C9LeAVZlunYsSP79u3j3LlzlC9f/pX7z507l4kTJxIbG5vexaFKlSo0atSIhQsX5kXJhZK45S28cz5uVYNvJ3ZEqVSgeEGH+addJbXaFLp9UYVvJw7Bx8eHatWq0bZtW7p162awFTwE4WWsrKwYPHgwXl5eBl+60JDMzc0ZM2YM9+/d56s2fUmJSCLyfAhhp4LRp+qxcrfFopw1xk6mONQvgj5VT/iZx0gKCcfGrlg72LB95VZKlSrF2bNnRZgsAGbMmMHff//N2rVrXxsmIW0uysTExAx9jsUt7+wTgVJ4J7Vq6cnfm8fQs0djrK3NMmwrUsSW4V9/jKW5D5N/GkVUVBRFixZl586drF69mp07d1KpUiX++ecfA1UvCC82fPhwtFotixYtMnQpBqeIAWOFERFnQ4j3jSEpKB5t3LOpvywrpnVfibwYSuytKKKvhiMpJMwrWNG/bW8OHjyIo6OjocoXsmj//v1MmDCBCRMm0K5duywd83Sk9/P9KMUo7+wTt7yFd55WqyM8PJbExBTMzI2xt7NAkiT8/PyoXLkyHTt2ZNWqVen7BwYGMnDgQLZv385nn33GokWLcHBwMOArEIRnhg0bxvr163n48OEr+5EVdrF3ogg7njZPZfHPy6I0TuvbGHcvmtDjgRRp7YaRnTEBW++TEpmMSREznD8sToJ/HOGngynWsYwhyxey4OHDh9SoUYMaNWqwa9eu9NvXryPLMo6OjgwZMoRJkyYB0KRJE5ycnPjjjz9ys+RCTbRQCu88lUqJk5M1JUs64mBvmT49UPHixZk7dy6//fYbO3Y8m1aoSJEibN26lfXr17N//37c3d3ZuHGjWElHyBdGjx5NTEwMy5cvN3Qp+UbIQX9CDvmTHJqImZvli6fzEbOCFShJSUl06NABc3NzNmzYkOUwCWkLWvz/Eozilnf2iUApCK/Qu3dvWrZsSf/+/TP0S5Mkia5du3L9+nUaNWpEly5d6NixI48fPzZgtYKQ9otQt27dmDVr1jv9Aal8brR10uNE4n1jib6WdlvboowV2pi0OQdV5mnT/6ieTAOUGpOS/nchf5JlmcGDB+Pj48Pff/+NnZ3dG5/j6RKMT4lAmX0iUArCK0iSxPLly0lISGDYsGGZtjs5ObF582Y2bdrEsWPHcHd3Z/369aK1UjCob775hqCgINauXWvoUgzG2NkUdVFj7Bu4YFHeGovy1lhXS+uakhKZTMzNSACsqztgUd4aKw87ZL1M7M1IzMuKOSTzs+XLl7Nq1Sq8vLzw9PR8q3N4eHhw584dEhMTAREoc4IIlILwGq6urixYsID169e/dCBOp06d8PHxoUWLFnTr1o1PPvmEwMDAPK5UENJUqFCBDh06MH36dLRaraHLyVOyLLNr1y7eq/Uef+7ZhMbGCNv3HLGt5YSklIi6EkbkxVCSghMIOxGEQqPArrYzsl4m5HAA2gQtZiUtDf0yhJc4c+YMQ4cOZeDAgfTs2fOtz+Ph4YFer+fGjRuACJQ5QQzKEYQskGWZdu3acfr0aXx8fLC3t3/pvlu3bmXAgAEkJyczd+5cevToIZZtFPKct7c3NWrU4I8//qBLly6GLifXybLMwYMH+fbbbzl9+jQNGjRg8vc/YXPPDBOlMSpl1iYct6vrjGUFsYBBfhQSEoKnpyfFihXjyJEjaDSatz5XbGwslpaWrFmzhu7du9OvXz8uX77M2bNnc7Did4tooRSELJAkiaVLl6LVahk8ePAr923Xrh3Xr1+nTZs29OrVi48//vilawwLQm7x9PTkww8/ZOrUqYW+C8bx48dp0qQJzZo1Q6/Xs3fvXg4cOMBv61bT/scu6BT6LA26sa5mL8JkPqXVauncuTOpqals3rw5W2ESwMLCgpIlS6b3o9RoNGIt72wSgVIQssjZ2ZnFixezadMmNm3a9Mp9bW1tWbt2Lf/++y+XL1+mUqVKLF++vNB/sAv5y4QJE7h69So7d+40dCm54ty5c3z00Uc0aNCAyMhItm/fzunTp9MHyq1bt46fZk1GU9ecg9eOkKpNRUZO++STSA+ZaisNDo2KYFNdTP+VX40fP55jx46xadMmXF1dc+Sczw/MEbe8s08ESkF4A507d6ZDhw4MGjQoSyO6W7dujY+PD506daJ///60aNECX1/f3C9UEIAGDRpQr169QtdKefnyZT755BNq1aqFn58ff/31F97e3rRp04aEhATatGnDzp07+eeffyhevDi1GtTml22zketqsHvPCYuy1piXtsLS3RaXViVw/bQU5qXEQJz8atOmTcyaNYuZM2fSqFGjHDuvh4dH+tRBIlBmnwiUgvAGJEnCy8sLhULBwIEDs/QhbW1tzcqVK9mzZw+3bt2icuXKLFmyBL1enwcVC+8ySZIYP348p06d4ujRo4YuJ9tu3LhB586dqVatGj4+Pqxbt46rV6/SsWNHFAoFUVFRtGjRgpMnT7Jr1y4iIyNp2rQplStX5vTp05SvXAGrynbYv++CQ4Mi2NVywtjJVPRxzsd8fHzo3bs3nTt3Zvjw4Tl67sqVKxMQEEBkZKQIlDlABEpBeEMODg54eXnxzz//sGHDhiwf9+GHH3Lt2jW6devG4MGDadq0Kffu3cvFSgUBWrVqRZUqVZg6daqhS3lr9+7do3v37unBcMWKFdy4cYMvvvgifULrkJAQGjduzI0bN9i3bx8HDhygR48efPHFF/z3339vNVehYFjR0dG0b98eNzc3Vq5cmePB//klGEWgzAGyIAhv5fPPP5dtbGzkgICANz52//79csmSJWVTU1N53rx5sk6ny4UKBSHNn3/+KQPyuXPnDF3KG3n48KHct29fWalUyi4uLvLixYvlpKSkTPv5+fnJ5cqVk52dneUzZ87IHTp0kCVJkqdPny7r9XoDVC5kl06nkz/55BPZ0tJSvn37dq5cIyUlRVar1fKiRYvk2bNny+bm5rlynXeFCJSC8JbCwsJkZ2dn+eOPP36rD63Y2Fh5yJAhMiDXq1dPvnXrVi5UKQiyrNVq5TJlysjt27c3dClZEhgYKA8ZMkTWaDSyg4ODPGfOHDkhIeGF+96+fVsuXry4XKJECfn48eNyzZo1ZVNTU/mff/7J26KFHDVlyhQZkLdv356r1/Hw8JAHDBggL1y4UNZoNLl6rcJOBEpByIZt27bJgPzbb7+99TmOHDkily5dWjY2NpZnzpwpa7XanCtQEJ5Yvny5LEmSfP36dUOX8lIhISHyqFGjZGNjY9nGxkaeOnWqHBsb+9L9L1++LDs5OckVKlSQd+/eLbu6usqurq6yt7d3HlYt5LS9e/fKkiTJ3333Xa5f6/PPP5fr1asnL1u2TAZEi3Y2iEApCNnUvXt32dLSUvbz83vrc8THx8sjRoyQJUmSa9euLfv4+ORghYIgy0lJSbKrq6vco0cPQ5eSSUREhDxhwgTZzMxMtrCwkCdNmiRHRUW98phTp07J1tbWcvXq1eU1a9bIpqamco0aNd6qC4qQfzx48EC2tbWVP/roozz55Xrq1KmylZWVvHr1ahl4YZcKIWvEoBxByKb58+djbm5O375933pqFlNTU+bMmcPx48eJioqievXqTJs27Z1bNk/IPUZGRowePZr169fz8OFDQ5cDQExMDD/99BNubm7MmzePoUOH8uDBA3744QesrF4+jc/+/ftp1qwZlStXpl27dvTs2ZOPPvqIo0ePUqRIkTx8BUJOSkxMpH379lhZWbF+/fr0AVe5ycPDg+joaOLi4gDEwJzsMHSiFYTCYPfu3TIgL126NNvnSkhIkMeOHSsrFAq5Ro0a8pUrV3KgQkGQ5bi4ONnOzk4eMmSIweuYPn26bGtrKxsZGcnDhw+Xg4ODs3Ts1q1bZY1GIzdv3lzu3r27DMjjx48XA9sKOL1eL/fo0UM2NjaWL168mGfX9fX1lQH522+/lQE5JCQkz65d2IhAKQg5pG/fvrK5ubn84MGDHDnfmTNnZHd3d1mtVss//vijnJKSkiPnFd5tP/30k2xsbJzlAJeTEhMT5Xnz5smOjo6yWq2WBw4cKPv7+2f5+N9//11WKpVy27Zt5QYNGshqtVpes2ZNLlYs5JUlS5bIgLx27do8va5er5ctLCzkXr16yYD86NGjPL1+YSICpSDkkOjoaLlYsWJy48aNc6y1JCkpSZ44caKsVCrlqlWrisEGQrZFRETI5ubm8rhx4/LsmsnJybKXl5fs6uoqK5VKuVevXvL9+/ff6ByLFy+WAbl9+/Zy6dKlZTs7O/no0aO5VLGQl06ePCmr1Wp58ODBBrl+3bp15aZNm8qAfPfuXYPUUBiIPpSCkEMsLS1ZtWoVhw4dwsvLK0fOaWRkxM8//8zZs2eRZZlatWrx3XffiX4+wluzsbFh0KBBLF68mKioqFy9llarZfXq1ZQvX55BgwbRqFEjrl+/zqpVq3Bzc8vyeaZNm8bgwYPp0KEDBw4cQK1Wc+bMGRo0aJCL1Qt54fHjx3Ts2JH33nuPOXPmGKQGDw+P9CVxU1JSDFJDoWDoRCsIhc3AgQNlU1PTHP9NNzk5Wf7hhx9klUolV6pUST579myOnl94dwQFBclGRkbylClTcuX8Op1O3rBhg1yuXDkZkDt06CBfu3btjc+j1+vlb775Rgbk1q1by0qlUm7evLkcGRmZ80ULeS4lJUVu2LCh7OzsbNDR+QsXLpRVKpUM5Gn/zcJGBEpByGGxsbGym5ub3KBBg1wZKHDp0iW5evXqskKhkL/55hs5MTExx68hFH4DBw6U7e3t5fj4+Bw7p16vl7ds2SJXqlQpPQS+bTcNnU4nDxgwQAbkRo0ayYA8cOBA0Ze4EBkxYoSsUqkM2nUhKSxRvvzXefnsvGPyjaUX5burfeSAfx/IsXejZF2qGOj1JsQtb0HIYebm5vz2228cO3aMBQsW5Pj5q1atypkzZ/jpp5+YO3cu1atX59SpUzl+HaFwGzNmDJGRkaxYsSLb55JlmV27dlGzZk06dOiAi4sLp06d4t9//6V69epvfL7U1FS+/PJLli1bRpUqVdLfS4sXL0atVme7XsHw/vzzT+bOncvs2bMN0nVBl6wjaM9DArc/wCLOFHtLO4zURij0EslhiYQeDeTRxjskPIrN89oKKkmW33LiPEEQXunrr79m2bJlXLp0ifLly+fKNXx8fOjVqxfnz59nxIgRTJ48GVNT01y5llD4dO/enUOHDnHT+wapQUnok3VISgVqaw2mxS1QqF7d5iDLMgcPHuTbb7/l9OnTNGjQgMmTJ9OoUaO3rikpKYnPPvuMPXv24OLiQmRkJBs3bqRly5ZvfU4hb8l6mQS/WOLuRqONTwVAZabGvIwVpsUtuOZzjTp16tCuXTvWrVuHJEl5Wp8uWUfgDl+0sSmQhQTk+IErZm6WuV9YAScCpSDkkoSEBKpWrYq9vT3Hjx/PtUl6tVotc+fO5bvvvqNYsWKsWrVKDFYQsuTGCR+u7rjIe+VqgETaA0APCrUCi/I2WFe1Q6HJ/L17/PhxvvvuOw4fPkytWrWYPHkyzZs3z1Y4iI2N5ZNPPuHkyZOYmJhgZWXFjh07qFy58lufU8hbcfeiCT/7GH2SLu376WnCePJ3yUjBL3/N4uS9M5w6dQozM7M8rzH4Pz8SA+OzFCYBUIBru1JorIxyta6CTgRKQchFJ06coEGDBvzyyy+MHTs2V6918+ZNevfuzenTpxkyZAjTpk0zyA9roWCIvhZOxLkQ9Ho9CsVLWiIlUFtqcP6oOCrTtFvN586d47vvvmPv3r1UrVqVyZMn07p162y3MkVERNCyZUuuXr2KTqfD09OTrVu34uTklK3zCnkn+mo4EedDXrmPLMtIkoTeTUnpD8rlUWXPpEQlE/DP/QzPKTQK7BsUwcjOGIWREn2Sjrh70UR6h6btIIFlBRvs6jjneb0FiehDKQi5qF69eowaNYrvvvuO69ev5+q1KlSowLFjx5g9ezYrVqzAw8ODQ4cO5eo1hYIp9k4UEefSPvhfGiYBZEiNSSF4rx+XvS/zySefUKtWLfz8/Pjrr7/w9vamTZs22Q6TQUFBNGrUiGvXrpGYmEiHDh04dOiQCJMFSPzD2NeGSSD9e0XxQEf8w5jcLiuT2JuRz1rin1BolGisNMTeiiLi7GMArKvaY1nRJm0HOe09o0/V53G1BYtooRSEXJaYmIinpyfm5uacOnUKlUqV69e8e/cuffr04ejRowwYMIAZM2ZgYWGR69cV8j+9Vs+jjXdwbFIUja0xCpUCXZI2LRCcCwG9jGUlWywr2KA0VaGNTSHifAjjZkzk+INT/PDDD3z++ec51oXD19eXpk2bEhQURGJiIj/++CPfffddnverE96eLMsEbHtAamTa/Li2tZ2wcrcFwP/ve6RGp4ACbKo7YF7KCqWJCl2Slrh70Vh52OXpv/Wjv+6ijUvN+OTTyz9JQ5buNtjVdib2dhRhJ4LSd3NuUQwTV/O8KbQAyv1PNkF4x5mYmLBmzRrq1q3L9OnTmThxYq5fs0yZMhw6dIglS5Ywbtw4du3axYoVK2jevHmuX1vI3+J9Y9Gn6EmJSCL+fgyyDFaVbbFyt0374NfL2NVyIjE4nqgr4dhUs8epaTEmRo+jRNuyaDSaHKvlxo0bNG3alIiICGRZ5s8//6Rz5845dn4hb6SEJaWHSZOi5lhWsEGv1WcY1OVQvwjmpa1I8I8j/lIoSmMVsk5PclgSxg4mb3VdrVZLbGzsax9xcXHpfx9dZyimmv+73v81q5kWTQuNiYHxGZ7Xp4gWylcRgVIQ8kCtWrX45ptv+PHHH2ndujVVq1bN9WsqFAqGDBnCxx9/TN++fWnRogV9+/Zl1qxZWFlZ5fr1hfwp7k4USBBxNgSFRoFCo8SspAUa67QBByZPPkxjfCJI8ItDbanGuoo9jhWc0UdpwTFnAqW3tzfNmjUjLi4uffBN7dq1c+TcQt6K940FCRRGShzquxB1OQzzMlYoLNK+V1TmasxLW5Eam8LjA4+QJAlZJyMj4+f/CD9V4BsHw9jYWJKSkl5Zl0ajwcLCIv1hbm5OynspmPKSAKuQcGjggomrOdHXI4h/kPGWvKQSreavIgKlIOSRSZMm8e+//9KzZ0/OnDmToy09r+Lm5sb+/ftZtmwZY8aMYffu3SxbtoxWrVrlyfWF/CX1ualSinYojdI47WMg7l40sbcj0dikBUtjFzNSwpMwdkybhkplqUm7VeiY/RqOHz/Ohx9+SFJSEuXLl2f37t2UKFEi+ycWDEKXrAXAoUERUmNS0gPlUxp7YwAkhUTxzmVRGqtIiUrm8XF/9v+zlbGr0u7aKJVKLCwscLC1x8jEGDNzs/Qw6OjomCkcPv/1ix7P/4yNiori33//xf9RIOYaM1TKjPFHoVHg2KQoJi5mRF4MJepSWKbXqbYWo7xfRfShFIQ85O3tTe3atZkwYQI//vhjnl/fz8+Pfv368d9//9G9e3fmzZuHjY1NntchGI7fxjvoEtICgLGTCUoTFVaV7dDYGRNyOIDk0EScPyye3mKpS9ahNFKS4BeLPlWPeekXt25rtTpOnrrFnr0XCXkcDZKEi4s1rT7ypHbtsumDf/bs2UPbtm1JTU3lww8/5K+//hL9ewu4sJNByDoZ+/edCd7vjzY2BZeWJVCZqQne64fCWIljI1dkWSb89GMkBdjVdkabqMXv8D3MPK0xilORdC8+w3Q+aisNlhVtMC9t9cKpq14nMjKSbdu2sXnzZv777z9SU1MZ8Fl/xn40PMN+kkqiSOuSaGyMSfCPI+5uNAC6JC1JQQkggUkRM5xbFM/u/6pCTQRKQchjP/zwAz///DNnz57F09Mzz68vyzK//fYbI0eOxMTEhKVLl9K2bds8r0MwjIDtD0gJz3ir0KykBY6Ni5LgF8vjA/4gkRYoFRKmRc2x8XQg8mIoxk6mmBTJPBXV7j0XWeK1h/DwWBQKCb0+7WNFoVCg1+txcrJi+LDWBAdfo2vXruj1eoYOHcrcuXNzbX5WIe9EXw1Hr9VjU93hhdsjvUOx8XRAm6Dl0cY7ABTvWg6lkZLIiyHEP4hN67/7/LyVz5FUEg4NimBW8vWTi0dERLB161Y2b97M/v370Wq11KtXj44dO9KhQwdci7jyaPNdtPGpSE9G46jM1RTrVCbTuRKD4gne4weAU7NimBYTA3JeRQRKQchjKSkp1K5dm9TUVC5cuICRkWFuowQEBPDVV1+xc+dOunbtyoIFC7CzszNILULeib4eQaJ/HGalLEkOSQTAsqItGhsjoi6HEXs3Couy1qRGp6C21GBZyRY5Vc+NPy7jrfDhsy6fYWxsnH6+39cdwevXvVm69v17ewh5fInFixczcODAXHl9Qt7TJWoJ2vMQ9XMTf9vXdUZpoiL8dDDxvrE4fuCKsbNp2tyOCrCp5kByWCJBe/2QU/VZmmTcoVERzEtlbiEPCwtj69at/PXXXxw8eBCdTkeDBg3o1KkT7du3p0iRIhn2//u3zVTSlkWlVKGQXj97onlZK+zruYiZB15DzEMpCHlMo9GwZs0abt++bZDb3k+5urry77//snbtWnbv3o27uztbtmwxWD1C7ouPj2f+nwtJiktEY2OM7XuO2NZyQlJKRF0JI/JiKMhgWtwCu7rOWLrbkBQYT+AuXw5fP0aPXj0oVqwYEydOxN/fn4OHrmY5TAK4lfqQxYs3iDBZyChNVGm3i/1iSXiY9tBr00ZEJwbGo0vUEnIkgPiHsVh52GFZwYY432ju7bqV1v8yi81aoUcDSY1JASAkJISlS5fSvHlznJ2d+eqrr0hNTWX+/PkEBgZy5MgRhgwZkilMLlmyhA69O7Hl9naUamWmOSnTPXnevJwV9u+LMJkVooVSEAxkypQpfP/995w6dYpatWoZtJagoCAGDRrE1q1b6dixI4sXL8bRMQdGXwj5gizL/PHHH4wdO5awsDDWT1mDp22VrB38ZPRu0XaluPfoPosXL+a3334jISGBFh+OY/y4rpQrVwRrazMio+LZu/ciy5bvR5ZlfvqxC9WqlsTePu1WZb0GE6hcuQRLvb7KxVcrGEJqbAqB//qiT9G9PiBKgFJCoZBeuUKNpFZgW9MR0+IWKI0UaBO03Dxzg6+njuDIkSMANG7cmE6dOtGuXbvXToQ/a9YsxowZw/Dhw5kzZw66RC2xt6KIuRGJPlmXYV/T4uZYVrTF2MVUhMksEoFSEAxEq9VSt25d4uLi8Pb2xsTk7eZiyymyLLNx40aGDBkCwKJFi+jcubP4YVrAXbhwgWHDhnHy5Enat2/PrFmzKFmyJGEngoi7E/3qg6W0Nb2dW5bAyPbZbe7Y2FhmzVrOVR8t8+b2Zs+ei0RFxdP9y0Y4O9swZ+6/bN5yip9+6EJAYDg9ujcG4P36EwD4fc0wSpcWy9gVNskRSQTv9UsLZ69IFgpjJRobI7RxqTg3L0bcvRh0SVqsq9ijMlcTfjqYmBuRuLQqgbGTKXH3okkMikdlpiY2LIZBc7/mk08/oV27djg4vLjf5vNkWebHH3/kxx9/ZOLEiUyePDnDzzVZL5McnoQ+WYekklBbatKXGhWyTtzyFgQDUalUrFmzhvv37/P9998buhwkSaJLly5cv36dJk2a8Pnnn9O+fXuCg4MNXZrwFkJCQujbty/vvfceMTExHDhwgC1btuDm5oYkSdjXc8G2liMK4yeDYp7/veHJ301czSjSxi1DmASwsLDA2qYsERFxdP1iLqvXHGLrtrP8ufEEAGXLugDw/Q9/8tvqjMt/KpUKDh2+liuvWTAsI1tjXD9xw6qSLZI6c7yITYzDJ+Ymrp+4kRKehDYuFf9/7qf13b0VRbRPOAAaW2OMnU0xdjIlKTiB0KOBxN+PIepSGDr/FDav3kS/fv2yHCbHjh3Ljz/+yNSpU/n5558z/ZIsKSSMHUwwLWqOibOZCJNvScxDKQgG5O7uzuTJkxk3bhzt2rWjXr16hi4JR0dHNm3axJYtWxg0aBDu7u7Mnz+fbt26idbKAiAlJYWFCxfy008/oVQqWbhwIV999VWmJT8lScKqkh2WFW3T+r75xaFL1iIpFaitNFiUs0Zt8fK5UqOi4tFqdekjuiVJ4v265QE4f/7uS4+TJIiMjH/pdqFgU5mqsX3PCevqDiT6x6F9MkWVylTFrF/GsW3HdnwHt0nrY/mKFWqMnsxdqTRVUaJbeSSVREpYEqHHA7O8Yo1er2fIkCF4eXkxf/58hg0blnMvVMhEtFAKgoGNGjWK2rVr07NnTxISEgxdTroOHTrg4+NDy5Yt6d69O23atCEgIMDQZQmvsHv3bqpUqcLYsWP58ssvuXPnDoMHD37l+vGSQsKspCUODYvg3Lw4Tk2KYlvD8ZVhEtImoX7664VareTHSZ2pVassm/46yb79V155rEolPnoKO4VKgVlJS6zc05b1NCtpSb8B/QkICODff/9FUj73PaCQcGhUJMMKNU874ylNVISdDCL6SjhGDiY41C+C4gWtn/9Pq9XSq1cvfv31V1asWCHCZB4Q72pBMDClUsnq1avx9/dn/Pjxhi4nA3t7e9avX8+2bdvw9vamUqVKrFq1CtH1On+5ffs2rVu3plWrVhQpUoRLly6xaNGiXJ0GytXVFhkwNzdm7pxeNGtWhZWrDjBv/o5XHqfTybi6iump3kXVqlWjTp06eHl5pbVASmkr1Di3KIZ5KSsiL4YSceYxQPpo7pTIZOLvxxB9Le12uNpK89oVa1JSUujatSvr169n/fr19OnTJ3dfmACIQCkI+UL58uWZNm0aCxYsSB+9mJ+0bdsWHx8f2rVrR58+fWjZsiV+fn6GLuudFxMTw5gxY6hcuTLXrl1j8+bNHDhwAA8Pj1y/dqtWnhgba/h1yVd4Vi/FqdO3ePgwlGZNq1DDsxQATZt40Krls8n727SuSb165fmwRbVcr0/InwYOHMi+ffuIt05CUkq4tCqBiYsZCf5xpEanYOZmibGLKYn+caTGpGBkZ4Sluw02NdJmnUiNSUFp9PLJ8JOSkujQoUP6Cjmff/55Xr00QRYEIV/Q6XRygwYNZDc3Nzk2NtbQ5bzUzp07ZVdXV9nCwkL+9ddfZb1eb+iS3jk6nU5euXKl7OjoKJuamsqTJ0+WExIS8ryOKVM3v/D5C9735Lr1xsuBgRGZtj148Di3yxLyscTERNnW1lYeNXKU7L/9/gv3SQiMk++vui4/2nJXTgiMk3WpOlmbkCrH3I6Uk8Je/n0eFxcnN23aVDY2Npb37NmTWy9BeAkxbZAg5CP37t2jSpUq9OjRgyVLlhi6nJeKjo5m9OjRrFixgiZNmrBixQrc3NwMXdY74dSpUwwbNozz58/TtWtXpk+fTtGiRQ1Si+/DEPr28yIxMeW13SAUCglLCxNWrhyMi7NYP/5dNnr0aFatWsWDK/eJOBAM+qzFEOvqDthUs3/htujoaD7++GMuX77Mjh07aNSoUU6WLGSBuOUtCPlI6dKlmTFjBl5eXuzfv9/Q5byUlZUVy5cv57///uPu3bt4eHiwaNEi9Pqsjb4U3lxAQABffvkl77//Pnq9nuPHj7N+/XqDhUmAkiUcmTO7J7Kciiy//N9eoZCwsjJlwfw+IkwKfPXVV0RGRrL1wDZcPir+wimG0j0Z+WVTwwHrqi/uexseHk7Tpk3x8fFh//79IkwaiGihFIR8Rq/X07x5c+7cucO1a9ewtLQ0dEmvFBsbyzfffIOXlxcNGzZk5cqVlClTxtBlFRpJSUnMmTOHqVOnYmpqytSpU+nVqxdK5cv7keWluXPnMn78jwwcPI3Ll4NJSkpFoUhLAXq9jKmpEW3bvMfnn9fHwT5/fy8LeefDDz8kOjqa06dPo0vWEXcniujrkejiU9P3kZQSFuWssahgg+YlA3GCg4Np3rw5jx8/Zt++fVStWjWvXoLwf0SgFIR8yNfXFw8PDzp37syKFSsMXU6WHDp0iD59+hAcHMyUKVMYNmxYvgk9BZEsy2zbto1Ro0bh5+fHsGHD+P7777GysjJ0aemuX7+Op6cnAwcOZO7cucQnJHPi+A3CwmJBAidHK+rVq4Cx8aunIBLePVu3buXTTz/F29ub6tWrA2nf81O+/ZmTR0+ydftWVObqV04R9OjRI5o2bUp8fDz79++nYsWKeVW+8AIiUApCPrV8+XL69+/Prl27aNmypaHLyZL4+HgmTJjAwoULqVOnDqtWraJChQqGLqvA8fHx4euvv+bAgQN89NFHzJ07N9/9f0xNTaVu3brEx8fni6VDhYJFq9Xi5uZGy5YtWbZsWfrz/fv35+LFi5w7d+6Vx9+7d4+mTZsCcODAAUqXLp2r9QqvJ/pQCkI+1bdvX1q0aEHfvn2JjIw0dDlZYmZmxvz58zl69ChhYWFUq1aNGTNmoNVqDV1agRAZGcmwYcOoWrUqfn5+7Nixg127duW7MAkwZcoULl26xNq1a0WYFN6YSqWiX79+rF+/nujoZ2vKR0VFYW1t/cpjb9y4QcOGDdFoNBw7dkyEyXxCBEpByKckSWLFihXExcUxfPhwQ5fzRurXr8+lS5cYMmQI48aN4/3338fHx8fQZeVbOp0OLy8vypYty+rVq5k2bRrXrl3j448/zpfLXZ4/f56ff/6ZiRMn8t577xm6HKGA6tu3L8nJyfz+++/pz70uUF66dIlGjRpha2vL0aNHKVasWB5UKmSFCJSCkI8VK1aM+fPns3btWrZv327oct6Iqakps2bN4uTJk8TGxuLp6cmUKVNITU19/cHvkCNHjuDp6cmgQYNo27Ytt2/fZsyYMWg0+bPfYWJiIl9++SVVq1bl22+/NXQ5QgFWpEgR2rVrh5eXF7IsI8t64hNiXhooz5w5Q+PGjSlevDiHDx/G2dk5bwsWXkn0oRSEfE6WZdq2bcu5c+fw8fHJ1eX0cktSUhI//vgjM2bMoGrVqqxevZoqVaoYuiyDevjwIWPGjOGvv/6iTp06LFiwoEC09o0cOZIlS5bg7e2Nu7u7ocsRCrj9B/YyY+EIRn7XHr0yGpDR68HBsjwlHT7A0bISkqTgyJEjtG7dmqpVq7Jz5858NThNSCMCpSAUAIGBgVSuXJmPPvqIDRs2GLqct3b+/Hl69erFzZs3mThxIhMmTMi3LXG5JSEhgenTpzNjxgxsbGyYMWMGXbt2RaHI/zeMDh8+TOPGjZk9ezYjR440dDlCARcac4OLvitJ1SUiy6RPNwUgoUBGj6nGnqTAynza5kvq1avHtm3bMDMzM2DVwsuIQCkIBcT69evp1q0bmzdvpkOHDoYu560lJyfz888/M23aNCpVqsRvv/2Gp6fn6w8s4GRZZuPGjYwZM4aQkBBGjRrFhAkTMDc3N3RpWRITE0OVKlUoUaIEhw4dKhABWMi/QqKvcf7B0idfvTyGyLJEfFwS21eGsuLXPzE2Ns6bAoU3Jn4iCEIB0bVrVz799FMGDBhASEiIoct5a0ZGRkyePJlz584hSRK1atVi4sSJJCcnG7q0XHPx4kUaNWrE559/Ts2aNbl+/TpTp04tMGESYMSIEYSHh7N69WoRJoVsSUqNxtt35ZOvXt2mJUkypqYa+oypipHRu3U3o6ARPxUEoYCQJCm98/qgQYNeu3Zyfle9enXOnTvHpEmTmDlzJp6enpw9e9bQZeWo0NBQvvrqK2rUqEF4eDj79u3jn3/+KXDTnPz777+sWrWKuXPnijXbhWx7FH4Svazl+TBZ1LYODcpP5MMqc2heeQa1Sg/BwrgIAAqlRGJqOCExYqaI/EwESkEoQJycnPDy8mLLli1s3LjR0OVkm1qt5rvvvuPChQuYmJhQt25dxo4dS2JioqFLy5bU1FTmzZtH2bJl2bRpE/PmzePSpUs0a9bM0KW9sdDQUPr27cvHH39Mnz59DF2OUMDpZR0Pw47yfJg00dhRpXg3TDQ23Aj4m8fRV7C3qEDlYl3S95FQ8DDsiAEqFrJKBEpBKGA6derEZ599xuDBgwkODjZ0OTnCw8OD06dP8/PPPzN//nyqV6/OyZMnDV3WW/nvv/+oWrUqo0aN4vPPP+fOnTsMGzYMtVpt6NLemCzLDBw4EJ1Ox4oVK/LlnJhCwRKfHEKKNjbDcxISsqxHq0siLPYWkQkPAEjVJqTvI6MnPO5OntYqvBkRKAWhAFq8eDEqlYr+/fsX+FvfT6lUKsaPH8/Fixextramfv36jBgxgoSEhNcfnA/cvXuXtm3b8uGHH+Lg4IC3tzdeXl7Y29sburS3tmHDBrZs2YKXl5eY80/IEVpd5rsPCSlhXHv0JxqVOR+4T8Kj2OfEJAZwxW9dhv1kWYdeL1bdyq9EoBSEAsje3p6lS5fy77//ZlhlojBwd3fnxIkTzJw5k19//ZUqVapw9OhRQ5f1UrGxsXzzzTe4u7tz+fJlNm3axOHDh6lataqhS8sWf39/Bg8eTNeuXenUqZOhyxEKCaXCKNNzaqUppZ1aoNUnc9H3N+4G78XSxDXDLW9Iu+0tScq8KlV4QyJQCkIB1a5dO7p168awYcMICAgwdDk5SqlUMmrUKC5fvoyzszONGjVi6NChxMXFGbq0dHq9njVr1lCuXDkWLlzIxIkTuXHjBp06dSrwt4ZlWaZ3796YmZmxaNEiQ5cjFCJmRg6ZQqWdeTlMjeyJjL9HUNQF7j7eA4Cjlcdze0lYmhQt8O+twkwESkEowBYsWICpqSl9+/ZNv/UdERHLtWt+XLr8AF/fkAJ9S7xcuXIcOXKEefPmsXLlSjw8PDhw4IChy+LMmTPUrVuXnj170qhRI27evMmkSZMwNTU1dGk5wsvLi3379rFq1SpsbGwMXY5QiCgVGorZ1gX5WTCMTw5FlvXYmpelhH1DKrq2ByA2MfC5I2VKODTK42qFNyEmNheEAm7nzp20bt2aH39cQHyCNcdP3MwQIosWteOzTu/T8qPqmJkV3EmB7927R58+fThy5Aj9+/dn5syZWFpa5mkNQUFBjB8/njVr1lCtWjXmz59Pw4YN87SG3Hbnzh2qVatG9+7d8fLyMnQ5QiETHx/P5Gnf0KC9jPTcyjhFbevg5tAEUyN7dPpUohJ8uRHwN/HJjwEJldKYppWmolQUvMFt7woRKAWhgEtJ0dKm7Rhi40xQKCT0+he/pe3tLZg3pzelSjnlcYU5R6/X8+uvvzJ27FhsbW1Zvnw5H374Ya5fNzk5mXnz5vHzzz9jbGzMlClT6NOnD0pl4erPpdPpaNCgASEhIVy6dKlATbwu5H8nT56kR48eBAQE4LX2GxzKhGbhKAkJifdKD8beonyu1yi8PXHLWxAKML1ez6Qf/iQu3vTJ1y///TAiIp6Bg5fhHxCeV+XlOIVCwaBBg7h27Rrly5fno48+ok+fPkRFReXK9WRZZvv27VSqVImJEyfSp08fbt++Tf/+/QtdmASYOXMmp0+fZs2aNSJMCjkmKSmJsWPHUr9+fezt7bl06RI9Ok7C3bUjaYHxZVFEQiGpqFlqgAiTBYBooRSEAmznrgs4O9tQtqwLJsZqIiPjOXL0OosW76JWrbL06P4BxYvZo1ar8PUNYfmK/SQmpeC1uL+hS882WZZZsWIFo0aNwsLCgqVLl9K6detM+yUnp3Lw4FV2771IyONokMDFxYbWrWrQsKE7arXqhee/ceMGw4cP57///qNFixbMnTsXd3f33H5ZBnP58mXee+89Ro4cyS+//GLocoRC4vz58/To0YO7d+8yefJkRo0aleGXsbikx/iFH+dR+El0+mfLrxqprCjh0JBitnUxUudt1xbh7YhAKQgFlCzL9Oy1iFatPHnw4DGyDJ93qU/Jko7MmrMdK0tTKpQvwplzd3FytOLLbo1ISkqhQ8eZLFzQt0Df+n7eo0eP6N+/P3v27KFbt27Mnz8fW1tbZFlmy9+nWbrsP+Ljk5EkKb1v6dOuAVZWpgwb0oqWLT3TzxcVFcUPP/zAokWLKFmyJHPmzKFNmzaFenRpcnIytWrVQpZlzp07h5FR5qldBOFNpKSkMGXKFKZMmUKVKlVYu3YtlStXfun+On0KCcnh6PTJqJQmmBk5IEniJmpB8uJfzQVByPdu3Azgzt0g5i/YiYWFCRYWxjRuXJmSJR1Bllm3/gipqbr0/WvXKku5ckUo6ebI1m1nGDmirQGrzznFihVj165drFmzhuHDh7Nv3z5+/fVXgh+bsPb3Z0u1Pf+789OuAdHRCUyespnIqHg6f/Y+K1euZOLEiSQlJTFlyhSGDx/+ToSrH374gRs3bnD27Nl34vUKuevq1at0796da9eu8d133zFhwoTXrhSlVGiwMHHJowqF3CACpSAUULdvP5tSY+MfI7G2NgNg796LbP/3PFrtszBZrJgdxYvbExkZz62bASQnF67VJiRJomfPnrRo0YIBAwbQv//3lCmX+fb3yyxavJvZsyfjfWEf3bt3Z9q0aRQpUiQXK84/Tp48yYwZM5g8eTLVqlUzdDlCAabVapk5cyaTJk2iXLlynDlzBk9Pz9cfKBQK4pa3IBRQGzedYOGiXej1MtWqlsTWzoKuXepTrlwRvp/0J4eP+ABQys2J2bN6YG5hwpgxa7h02ZfExDAC/bdhbm6OhYVFtv80MjLKN7eEdTodH7f+iSlTulO2bJFMfUslSWL6tG5UqFAUKytTgoIiad9xOsixzJvbndq1axv6JeSZ+Ph4qlatioODA8eOHUOlEm0Mwtu5desWPXr04Ny5c4wZM4Yff/xRtHa/Y8RPD0EooMzMjNNv3V667Jv+/M8/fU6rVp4cPuJD9epu/DK1G1qtjmHDVnDjZtqKOsWKudCx/TBiY2OJi4tL/zM6OpqAgIBMzycnJ7+ohHRKpTJHgunTP83MzN56FLW39wNiYlO5cyeIffsup/ct7dSxLg/9Qtm925uk5FT+++8SnTq9D5DWV0uywtqm2Ftds6AaO3YsgYGB7N69W4RJ4a3o9XoWLFjA+PHjKVasGMePH6du3bqGLkswAPETRBAKqBo1SlG7dllaNK/Klat+SEDHjmk/yO/eDaZ27bJMn/YlCoXEqt8O4upqh6urHTdu+tOqpSe9ejbJ8rVSU1MzBMw3+dPf3/+F2153c8TU1PStAunRY0EoFBILFu56Yd/SxMQUxk9YT4niDumBEkCpVHDs2HXKl3s3bnX/999/LFmyhEWLFlG2bFlDlyMUQA8ePKBXr14cOXKEYcOGMW3atEKzWpTw5kSgFIQCysXZhhLFHShdypmGDSuhUioIDY1h7e+HWbnqAD17NEajSXuL9+/XPP24qdO20LbNe290LbVajY2NTY4twyfLMgkJCW8VUqOiovD3939pK2rZ8p9gZ1cBSVK8sG/py0gSREXF58jry+8iIyPp3bs3zZs3Z+DAgYYuRyhgZFlm2bJljBo1Cnt7ew4ePEjjxo0NXZZgYCJQCkIB1qBBRXr2XvTCbStXHWDlqozrXisUEh+2qIadnUVelPdSkiRhZmaGmZkZTk45M31RSkoK8fHx/DJ9GydO3kGvl5kwcX1639KmTatw5Oj19L6lL6gKtebd+JE4dOhQ4uLiWLVqFQqFmJpFyLpHjx7Rt29f/vvvP/r168fs2bOxsDDszxMhfxA/SQShAKvhWZrBgz7K0r6yrEetSmbUyMIxXdD/02g02NjYUKFC8fTnLl325eDBq2z48zgqlZJWrV4+4lSn01G8mH1elGpQmzdvZv369SxatIiiRYsauhyhgJBlmbVr1+Lh4YGPjw+7d+9m2bJlIkwK6d6NX8cFoRD7omtDTEw0zF+wE61W96Rv4rMR10qlAp1Oj1tJKzZu/IFp00yYPHlyhnMkJ6cSH5+EkZEaU9P8M2L7bXzcqgbXrvnRrFmVF/YtBWjTumZ6K62JiYY2rWvi5xdCYsJD9Pr3Cm2rXXBwMAMGDKB9+/Z88cUXhi5HMBBZlklKjSRVm4BCocJYbYNK+fIR2cHBwXz11Vds376dL7/8kvnz5+dY9xeh8BDTBglCIRETk8iu3ReYOWsDxsbWQNpI8GZNq9D+09qUKePCzJkzGTt2LEuXLqV37z4cP3GDvzaf4uLFB+nncXCwpEP7OrRuXRNbm4K5nvPCxbv4sEU1XF3t0vuWHjx0leUr9qPT6Tl5fGqmY3bvPkGrVvVxd3dn4sSJfPbZZ4Vq5LMsy3zyySecOXOGa9eu4eDgYOiShDym1SUTFHUB39DDxCY9m8dWIakoYvMeJewbYmWacaaDv/76i4EDB6JUKlm6dCnt2rXL46qFgkIESkEoRB48eECpUqXYsWMHLVu2zNTSJssyw4YNY+WqP/ig8VCiopLTlyF8niRJKBQS34xpR+vWNfPyJeSIgIAIevddTHx8UqbX9v+USgW2tuasWjGY27evMWXKFHbu3EmZMmUYP348X3755WtX+SgIVq1aRZ8+fdi2bRtt2xbObg/Cy8UmBXH23iKSU6NJu4Pxf+95FMjocXNoQoUi7YiIiGTw4MFs3LiRDh064OXlJX4JEV5JBEpBKEQ2b95Mp06dCAoKwtnZ+YX7PHoUSpeuM9HrFVlaK3fM6E/4tF3Bm+z79p1Aho/4jZiYhJeGSoVCwsHBkgXz+lDsuf6T3t7eTJkyhb///pvixYszbtw4evXqhbGxcV6Vn6N8fX2pUqUKHTt2ZNWqVYYuR8hj8cmhnLg9A50uGRn9a/fXxxajb6e5pKSksHjxYrp06VKgu8EIeUMESkEoRCZMmMCaNWsICAh44XZZlunRayEP7j9G95qWu6ckSWLNb0MoU6bgrbMbFhbDX5tPsXXrGWLjkjJss7Exo/2ndejYoS5WVi+eO+/atWtMnTqVjRs34uzszJgxY+jfv3+BmmtPr9fTpEkTHjx4wNWrV7G0tDR0SUIeO3FrJjGJj9LDZCnHZhSzfR9TI3skScHpu/OJiLuT4Zidvz/m29ELcHEpeO97wTBEoBSEQuTDDz/EyMiI7du3v3D75cu+DBy8jIUL+lK2rEumZQkrVy7O4oX9MhwTG5vIEq89fDP207x4CbkiJUXLuXN3CQ2LQZIknJysqFmjNCpV1lbjuX37NtOmTeP333/H1taWkSNHMmjQoAIRzubNm8eIESPEXIHvqKiEh5y8PTPDc2WcWqJWmuBkXRVTjV2mQCnLYG9RntplhuZ1uUIBVnh6nAvCO06WZby9vRk8ePBL99ny92mUSgV37gSyb9+lTMsSPnjwGIC//znDpUtpA3VSU3WcOn2LwYNaYm5eMG/5ajQq6tWr8NbHlytXjt9++41JkyYxffp0Jk2axIwZM/j6668ZNmxYvh3xeuPGDcaNG8fXX38twuQ7yi/seHr/yKfuPt4NgLWZG6Yau0zHSBKEx90iPjkUMyPRb1LImsI5N4YgvIMePXpEWFgYNWrUeOk+F7zvodPpWbBwF4cO+3DB+x7Bj6PSNj53s+LmTX9OnLzJ/gNXOHLUh5QULbduv/g2+rukZMmSeHl5ce/ePbp3784vv/xCiRIlmDBhAqGhoYYuL4PU1FS6d++Om5sb06ZNM3Q5goFExt/PUr/JF4lO8MvhaoTCTARKQSgkvL29AfD0fPnk3YmJKel/3/jHSDZvGkOd2uUyLUs47ptPObDvB3Zsn8DnXeoDEB+fnEuVFzxFixZl3rx5+Pr6MnDgQBYuXEjJkiUZOXIkQUFBhi4PgKlTp3Lx4kXWrl2LiYmJocsRDCRVm/jWx+r04j0vZJ0IlIJQSFy4cAEnJyeKFCny0n2MjTXpf58wcT3ffv8H168/omnTKtSvV4GIiDh+XbqXcePXMXXaFiQJhg5pRc2apTE1ffnEx+8qJycnpk+fjq+vL6NHj2bVqlW4ubkxePBg/PwM17pz/vx5fv75ZyZOnMh7773Zuu1CRjp9CoGR57n7eC93g/fgF36CZG2socvKJDQ0lCNHjuDl5cWQIUNo0qQJzs7O3Ln14PUHv4RKWTC7uAiGIQblCEIh8fHHHyPLMrt27XrpPuMmrOPEiZvodM9ugTVp4sHPP33O8RM3GPvN7xn2Hz2qLe0/rcOixbv4stsHLx0NLaSJjo5m8eLFzJkzh+joaHr06MG4ceMoU6ZMntWQmJhIjRo1MDEx4fTp04ViDk1DSE6N4X7Ifh6Fn0SrT0J60v4io0dCgYuNJ6UdP8TCJO9GQcuyTEhICD4+Ply/fj394ePjQ1hYGABqtZpy5crh7u6Ou7s71RoZobEJ5Pl5J23MSmNm5EhppxaYGTlwP2Q/cUmP8Y849dzVJJpUmoyx2jrPXp9QsIlBOYJQCMiyzIULF+jXr98r9+vwaR2Sk1Np0bzqC5cl7N2rCba2Fty6FYCFhQnNm1VFp9NjamokwmQWWFlZMWHCBIYNG8bSpUuZOXMmv/32G127dmXChAlUrFgx12uYOHEi9+/fx9vbW4TJtxSX9Jgz9xaQkhqb3v/w+X6IMnqCIr0JjrqEp1s/HC0r5ej1ZVkmKCgoU2i8fv06ERERQNra9eXLl8fd3Z2mTZumB8gyZcpk+HePS3rM0ZsZl1otZleXorZ10r8u5dgMID1QSihwsqoiwqTwRkQLpSAUAgEBARQtWpS///6bTz99+fQ+siwz4dsN9OrRGNeimZclbFC/Il92a0Tx4vZIkoTfozB+X3eEL7o2xL1i0Tx8RYVDYmIiq1atYvr06fj7+9OhQwcmTpxItWrVcuV6hw8fpkmTJsyaNYuRI0fmyjUKu+TUGI7fmk6KNjYLg1kkJElBnTLDsTFze+NrybJMQEBAptB4/fp1oqKiADAyMqJChQq4u7tTqVKl9OBYunTpLC8Neu7eEsJib77R4Jw6ZUZga176jV+T8O4SgVIQCoF///2Xtm3b8vDhQ4oXL/7Kfe/ff0y/r7xITk597bKEAAO++pDuXzbKqVLfSSkpKaxdu5Zp06Zx//592rRpw7fffkutWrVy7BoxMTFUqVKFEiVKcOjQoUzLbgpZc91/Mw/Djr4wfLm7dqKkQ9p74ciNycQnPwYkrEyKU6/8mJeeU5ZlHj16lOlW9fXr14mJiQHA2NiYihUrZgiNlSpVws3NDaUya/OlvkyyNpaTt2eSlBKVpVBZoUi79FZLQcgqESgFoRD44YcfWLx4MSEhIVlaIu32nUBGjlpNREQssixnWoJRoZCQZZnBg1ryeZf6Ytm1HKLVavnzzz+ZMmUKN2/epHnz5nz33Xc0aNAgS8fHxCRy6PA1QkOjkWUZB3tLPvigMtbWZvTt25eNGzdy5coV3NzevLVMAK0umQM+49HpUzJtc7CsRA23/siyDqVC81ygTFOv3DdYGLvy8OHDTC2ON27cIC4uDgBTU9P0wPh8cCxRokS2g+OrJKfGcP7+r0Qn+iHLaXNNPpX2tYSEREXXDumhWRDehAiUglAItG3bluTkZPbu3ZvlY0JDw6n53seUK9+E+Phnz5uZGdHuk1p88kktirpmnvRYyD6dTsfff//Nzz//zJUrV2jYsCHffvstzZo1e2F4DwiIYM3aQ+z97xLaVB1KleLJefQolQrKl7dl3e9TWLhgOn379s3rl1No+Eec4Yrf75me16gsaFB+PH7hx3G1rY2pxi5DoNTrZM4efszs73eTkJAAgLm5eabQ6O7uTvHixQ3WeizLMhFxd/h771yc3SSUyrQ6EmL1VCv3CcVs38dIbWGQ2oSCTwRKQSgEXF1d6dGjB1OnTs3yMUuWLGHYsGHcv38fMzMbYuMSMTJSY29ngVotxuvlBb1ez44dO5g8eTLnz5+ndu3afPvtt3z88cfpwfLaNT9GjPqNpKTUDKPznyfLeiRJZuGC/tTwFP3e3tad4F3cDd6T6bZwzVIDUSmMOX13Hh+4/5ApUMqyTLCvnugHZdMDZLFixfJty37FihVp3Lgx8xfO5qv+A7lx/RanTp16/YGC8Aqik00BotPpuXcvmIuXHnD9hj8xMW8/Ya1QeAQHBxMYGPjKCc3/nyzLLFq0iE8++YTixYtjZ2dByRKOuDjbiDCZhxQKBW3btuXs2bPs2bMHlUpFmzZt8PT0ZMuWLfg+DGH4yN9ITEx5aZgEkCQFkqRizNi13LsXnIevoHCRZT2QMQS62tTGzrwcd4N3Y6qxS58+yERjg1KRNq+rJElU9nBn5MiRfPTRRxQvXjzfhsnQ0FBu3rxJ/fr1UStNKF+uItevX0e0LQnZJT45CoCIyDh27DjP5i2nCAt7NqGuSqWgebOqdGhfB3f3YgasUDCkpyvkvGrJxf93+PBhbty4weLFi3OrLOENSJLEhx9+SIsWLTh69CiTJ0+mY8eO1HivO0ZGrsgyjBjehk5Ppnj6vOtcHvqFUqdOOfr1bYZbSUdiYhLZuu0si732MGdWT8O+oAJKozLP1DppamSHUqGmVpkhGZ6vVXoIFx4s43H0FSQUGKkt87LUt3by5EkA6tWrB4C7uzsxMTEEBgbi6upqyNKEAk60UOZzFy894LPOs1m6bF+GMAmg1er5b99l+vb3YvGS3ej1b7deq1CweXt7Y2NjQ8mSJbN8zOLFi3F3d+eDDz7ItbqENydJEo0aNWL//v3s2XMQjaYIsgzv1y3Pp+1qkZycmr6vm5sj06d1w87Wgnnzd/DoURj9+zXHztacoKBIA76KgsvJqmqm54IivfF+sCL9kZya9nPYx/8vouIfAmnzUrpYZ/0OgSGdOHGCokWLps8G4e7uDsD169cNWZZQCIhAmY/5+Dxi+IhVJCWlvPR2xNPbYOs3HGPxkj15WZ6QT1y4cAFPT88s32Lz9/dn69atDBo0KN/elhMgLFyJQqHAxsacCeM7sGbtYSIi4tK3v1ezDGq1ikOHr7H93/Os23AUgI4d6rJz1wVDlV2gmWhscLLySL+tDRCXHExw9KX0h05OGwEeFnuTZG00AEZqqxyf3Dy3HD9+nPr1n83cULJkSYyNjUWgFLJN3PLOp3Q6Pee977Fu7de4utqiUCgYPHQ5Fy+mrctav14FBnz1IUWL2hEWFsPv64/yx5/HqV+vAtWrlzJw9UJeunDhAl26dMny/kuXLsXU1JTu3bvnYlVCdgUFRaJQSHw7sQP+/uH8tvogrVo+awV7Gi4ruRfD2dma2u+VBcDV1Y7g4ChDlFwolHb6kJDoay/dfvj6pEzPlXNunWnqrfwoMTGR8+fP88UXX6Q/p1QqqVChAjdu3DBgZUJhkP/fAe+o06dvk5qi5cSJmzx+HJ1hm6urLVOnfIGxsZp583cQFRXPN2PaUatWWTZvESP13iWhoaE8evQoy/0nk5OTWbZsGd27d8fCQkwPkp/p9TIftqhODc/SrFx1ABcXm/RpXpycrDh1+hZHjvpQuXJx/t48lo8/TvseUCgkdKL7y1uzNi1BtZK9nrRSvr4F/4/l59i0+mTuF5YDzp07R2pqKvXr18/wfMWKFUULpZBtooUyn9ry92nOnb+LTqenskdxXFxs0re1+6QWKpWSPzeeYOu2swQGRjBvbm86fFqb8RPXEx4ei52dCAvvgjcdkLNlyxZCQkIYPHhwbpYl5ABbW3MUCgUajYr583pn2DZvbm/Gjf+d8RPW4+pqi421GWZmxsyd04tbtwKxtTE3UNWFg4t1dTSlzTh1YyUKTTxpwTKt25GEAhk9GpUl5ZxbU9zaitGjRyNJUr5f7vL48eNYWlpSuXLlDM+7u7uzd+/eJ4sciG4wwtsRgTKfunHT/6XThBQrag/A48dRAOm3t4oVs0evl7l//7EIlO8Ib29vLC0tKVUqa90cFi1aRJMmTahYsWIuVyZkV9MmHkz87o8M0wCNHtUWGxtz5s77l+vX/RnxdWvu3A3CzMyYzp3rodPp+W3NQQYN+MiAlRcOdhblmDPuHA6uKr6d0pOElDD0sg5jtTVFbGrgYFkJhaTk55/rIssyo0aNAsjXofL48eO8//77mVbkcXd3JyIigtDQUBwdHQ1UnVDQiUCZTz0/mvN1/v83ysSkzMuGCYXT0wE5WVl54+LFi5w6dYq///47DyoTssvNzQlrK1OOHPVJX3N9yOCWAJw9e5ew8FjKlHGh1cc1UKuU3L0bxKxZ24iNSaRCBTH9S3Zdv36dQ4cOsWHDBjyKf/7S/SRJYsqUKQCMGjUKSZIYMWJEXpWZZXq9npMnTzJ69OhM254f6S0CpfC2RKDMp8zMjElKenGofOQfBoCzszWQ1p8q7flwAMzNjHO/QCFf8Pb25tNPP83SvosXL6ZYsWK0adMml6sSckrfPs0YNnxl+tcdOs3MsH3w0OWZjpk9s0eu1/UuWLJkCU5OTnTo0OG1+z4NlbIsp7dQ5rdQ6ePjQ3R0dKb+kwClS5dGpVJx48YNMZWY8NZEoMyn6tYpR2BgZHr/KEibi66oqx3btp+j82f16PxZPVJSdbR50hl/8+ZTKJXg4mJmyNKFPBIREcGDBw+y1H8yIiKC9evX8+2336JSibd9QeHpWYqJ4zvw89QtAC+dPkySQJZhzOhPqFu3fF6WWCjFxMSwZs0aRowYgUajydIxkiSlL32aH0Pl8ePHUalU1KpVK9M2tVpNuXLlxMAcIVvEJ0s+1aF9He7eC+bjVs/CwhddGwLwfv0JfPvdBvr3b8HI4a0JC4tl1uxtnDt/h8fB3pQpU4ru3bszdOjQ9FsZQuFz8eJFgCwtufjbb7+h1+vp169fbpcl5LCWLT2xsTVnwcJd+PqGoFQq0vtXPw2Sjo4WjBzRjgb1Rd/YnPD777+TmJjIV1999UbHPQ2V+bGl8vjx49SoUQNTU9MXbnd3dxeBUsgWESjzqfLlXZk7fwe/TP/nhYNzjh67wdFjz88bJqNUKvlr0zx27PgLLy8vfv31V5o1a8awYcNo1apVpo7YQsF24cIFzM3NKVeu3Cv30+v1LFmyhE6dOon+UQVUndrlqF2rLNeu+bFrtzePQ6KRZRk7O3OWev1EvbotRZjMIbIss3jxYtq1a/dWSxFKksS0adOAtJZKSZIYPnx4Dlf55o4fP06nTp1eut3d3Z1ly5blYUVCYSMCZT42ZXJX+vRbQnh47EtHfMOz22Aa9T3c3d3w9PyecePGsXnzZhYsWEDbtm0pVaoUQ4YMoVevXlhbW+fRKxBy04ULF6hWrdprB+Ts2bOH+/fvs379+jyqTMgNkiTh4VECD48SGZ4PCT7GunW/M23aVNGdIQccOnSIGzdusGTJkrc+x9NQKctyegulIUOln58ffn5+L+w/+ZS7uzvBwcFERkZiY2Pz0v0E4WXExOb5mJ2dBSuWDaRsWReA9EmNn3o6ulujUXDr5haOHd1C+/btSU5ORqPR0LVrV06fPs3p06epW7cu33zzDUWLFmXQoEFiVYRCwNvbO0v9JxcvXoynpye1a9fOg6qEvNazZ0+Cg4P577//DF1KobB48WIqVapEo0aNsnUeSZL45ZdfGDt2LCNGjGD+/Pk5VOGbO3HiBAD16tV76T5PpxITnw3C2xKBMp+zt7dk5fJBeC3uT+MPKmNiktZBXKVSUqaMM+PHtWfPrkl06dwMWZY5cOAAHTp0IDk5Of0ctWvXZt26dTx8+JDRo0fz999/4+7uTosWLdixYwd6sapGgRMdHc3du3df23/y3r177N69m8GDB4sJiwup6tWr4+HhwerVqw1dSoH36NGjHF3n/mmoHDNmDMOHDzdYqDx+/Djly5fHwcHhpfuUK1cOhUIh+lEKb08WChydTpfpueTkZLlOnTqyvb29bGRkJLdp00ZOTk5+4fFJSUny77//LtesWVMG5NKlS8tz586Vo6Kicrt0IYccOnRIBuRr1669cr9Ro0bJtra2ckJCQh5VJhjCnDlzZI1GI4eHhxu6lAJt4sSJsoWFhRwTE5Oj59Xr9fKYMWNkQJ4/f36OnjsrqlatKvfu3fu1+5UtW1YeMWJEHlQkFEaihbIAelGfOY1Gw+bNm1EoFJQrV469e/fy2WefkZKSeZJzIyMjunXrxtmzZzl16hS1atVizJgxuLq6MmTIEG7evJkXL0PIhgsXLmBiYkKFChVeuk9CQgIrV66kd+/emJiY5GF1Ql774osv0Ov1/PHHH4YupcBKTk5m+fLl9OjRI8fXuZckienTpzN69Gi+/vprFixYkKPnf5Xo6GiuXLnyyv6TT4mR3kJ2iEBZiLi6uvLXX39x/fp1Pv74Y3bv3k3nzp1JTX3xBOmSJFGnTh02bNjAw4cPGTlyJJs2baJixYp89NFH7Nq1S9wOz6e8vb2pVq3aK0fu//HHH0RHRzNw4MA8rEwwBEdHR1q1aiVue2fD5s2bCQkJYdCgQblyfkmSmDFjRnqoXLhwYa5c5/+dOnUKWZazFCgrVqwoAqXw1kSgLGQaNmzI7Nmz+eeff/j666/ZuXMnXbp0eWmofKpIkSL89NNPPHr0iDVr1hAWFsbHH39M+fLlWbBgATExMXn0CoSsuHDhwisH5MiyzKJFi2jVqlWW1/kWCraePXty/vx5rl27ZuhSCqTFixfTtGnTXF3n/vlQOWzYsDwJlcePH8fR0ZEyZcq8dl93d3cePXpEbGxsrtclFEKGvucu5Dy9Xi937dpVNjU1lRcuXCir1Wq5Q4cOckpKyhud48SJE3KXLl1klUolm5uby0OHDpVv3bqVi5ULWRETEyNLkiSvWrXqpfucOHFCBuTdu3fnYWWCISUnJ8t2dnby6NGjDV1KgXPhwgUZkP/+++88uZ5er5dHjRolA/KCBQty9VqNGjWS27dvn6V9z58/LwPy2bNnc7Wm3KTX6+S4pBA5Kv6hHJsYJGt1Lx5LIOQ8SZZfspaXUKDFx8fz/vvvk5iYyA8//ECPHj349NNP2bBhwxvPVRcQEMCvv/7K0qVLCQ0NpWXLlgwbNowWLVq8dg5EIecdO3aMhg0bcvnyZapUqfLCfb744gvOnj3LrVu3xL/RO+Trr79m48aN+Pv7izkp30CfPn3Yt28f9+/fz7P/b7IsM2bMGGbPns3ChQsZMmRIjl8jJSUFKysrpk6dmqUVe+Lj4zE3N2f16tX06FGw1oRP0cbhH3Ea39AjJKVGpj+vVBhRzLYuxe0bYG7slCPXik54xMOwo4TF3kCrS0Kp0GBtVpIS9g2xMy+HJL2bP3PfzVf9DjAzM+Pvv/8mNDSUP//8kz///JN//vmHbt26odVq3+hcrq6uTJ48GT8/P1avXk1wcDAtW7akYsWKLFq0SNweyWMXLlzAyMjopbfmHj9+zF9//cXAgQNFmHzH9OzZk8ePH7N3715Dl1JgREREsGHDBgYMGJCnIVySJGbOnMnIkSMZOnQoixYtyvFreHt7k5SUlKX+k5D2uVG1enn8H18lIu4ucUmPX7p+fH4SHneHw9d/4GbgtgxhEkCnT+Zh2FGO3pzM/ZAD2Xo9SanRnLozlxO3pxMQcYak1Ci0+iSStTGERF/j7L1FHLkxmZgE/+y+pAJJfNoUYqVLl2bDhg3s2LGD69evs3HjRjZv3syXX375xqESwNjYmB49enDhwgWOHz9OtWrVGD58OK6urgwfPpy7d+/mwqsQ/p+3tzdVq1ZFrVa/cPvy5ctRqVT06tUrjysTDK169epUrVpVDM55A6tWrUKv19O3b988v7YkScyaNSs9VC5evDhHz3/ixAlMTU2pVq3aK/eTZT2Po69y9t5ipqxsSvUWSZy+O4+jNydz7NZU/MJPoNUlv/IchhIZf5+z9xah1ScDLw6LMmmDS28G/sOD0ANvdZ2klChO3J5BVPyDDOf8/2skpoRz8s5souJ93+o6BZm45f0O+Omnn/jhhx/YsWMHCQkJdOnShc6dO7N27dpsr+/t7++Pl5cXS5cuJSIiglatWjF06FCaN28uWsdySaVKlWjYsCFeXl6Ztmm1WkqWLEnLli1Zvny5AaoTDG3evHl88803BAYGYmdnZ+hy8jW9Xk/ZsmV5//33+f333w1WhyzLjBo1irlz57Jo0SIGDx6cI+f99NNPiY6O5uDBgy/dR6tL5qLvKkJjfUhrY/r/mT0kQMZUY0+t0kMwNbLPkdpygl7WcdDnW1K0cbi7dqSkQ9rqRkduTEaWdVQq2hkLkyKolaYkpUbxMOwIvqGHqV9+PJYmWV+nXZZlTtyeTmxiYKYg+WISaqUpH1SchFpl+pavruARn/jvgG+//ZaPP/6YL774gurVq/PHH3+wceNGevXqhU6ny9a5ixYtypQpU3j06BErV67E39+fjz76CHd3dxYvXixuh+ew+Ph4bt68+dIR3tu2bSMgICDHPpCEgqdr165iTsoserrOvaHfL5IkMXv2bEaMGMGQIUNypKVSlmWOHz/+ytvdelnHhQdLCY19OlXQi8JSWptTYkoEp+7MISk1Ktu15ZTH0ZdJ0cbiYOlOcfv66PTP5l021tigUZnhG3qIW4HbUCtNcXftiJNlFR6GHX2j64TH3SYm0R8ZPe6unWhVbRGtqi3CzMgJV9va6V8/eyzE060v/hFncvol52uihfIdERUVxXvvvYeJiQmnTp1ix44ddO3alW7durFq1apst1Q+9fSH2IIFC/jnn38wMzOjd+/eDBkyhNKlS+fINd5lJ0+epF69enh7e1O9evVM25s0aUJKSgrHjx83QHVCftGuXTv8/f05f/68oUvJ11q1asXjx485f/58vliaVJZlRo4cybx587LdUnnr1i0qVKjA3r17adGixQv3eRBykGRtLMVs62JqZI8kKTh9dz4RcXcAUCmMKV/kE5ytqqJSmpCcGkNQlDelnZq/dV056dSdecQnh9Cg/Dj8wo/jalsbU40dR25MJjElHL38rGtXxSLtcXNswu2gHdwPOUDTylNRK7O24MOFB8sJib6KvWVFarj1R5Z1KBUajtyYjF7WYm1aMn3fYnbvY29RnnuP9+EXfpwPKv6QL7638oIYBviOsLa25p9//qF27dr079+fdevWodfr6datGwqFgpUrV+bILWpJkmjQoAENGjTAz88PLy8vli1bxvz58/n4448ZNmwYzZo1e2feYDnN29sbjUZDpUqVMm3z8fHh0KFDbNiwwQCVCflJz549+fTTT7l69SoeHh6GLidfunfvHnv27GHlypX55ueRJEnMmTMHgCFDhiBJ0ltPtH78+HEUCgV16tR54XZZ1uMbehhX29qExFzDyboqppqMXSRqlhqIrXlpAiPPExZ7ExONLfFJISSmRGKisXmrunJSdMJDPN36Ep8cyp3g3bja1k7f9nyYVEhq7C0qIMt6wuNuo5dTuXj1GCZKFxQKBUqlMsPj+ecUCgUh0ddQq8yoUuwL7j3emx5cIa3PZGJKOABKhYZKRT9Dp0/FN/QwydpoElJCMTNyzNv/MQYiAuU7pHLlyqxatYouXbpQq1Ytvv76a/R6Pd27d0ehULB8+fIc7fdYvHhxpk2bxvfff8+GDRtYsGABLVq0oGLFigwdOpQvv/wSc3PzHLveu+DChQt4eHig0WgybVuyZAlOTk506NDBAJUJ+UmrVq2wt7dnzZo1zJo1y9Dl5EteXl7Y2NjQpUsXQ5eSwdNQKctyegvl24TK48ePU7VqVSwtLV+4PSz2FompEdx9vBsAazO3DIHS1rwstualiYi7y6WHa1BIyichTcLUyJ5yLq1fW4NWqyU+Pp6EhAQSEhKy9Pe4uLgMj/j4+PRHYmIiCQkJJCYmkpSUxAkfL+zMy3Hh/lJMNXZIT3rxmWhsSEqNRKdPQaU0oUbJfliYFOFGwN9Ext8HoF//3lw5F/Da16DWKNl6ZgBVind7YXB9XlHbumhUZvhHnCZZGw1AqjYBjF57mUJBBMp3TOfOnTl37hyjR4+mevXq6WsA9+jRA4VCwdKlS3N8MI2JiQl9+vShd+/eHD16lAULFjBkyBDGjx9Pnz59GDx4sFjNJYu8vb2pXTvzD7OYmBjWrl3LiBEjXhg2hXeLRqPhiy++YN26dUybNu2lMwK8q56uc9+3b998uc69JEnMnTsXgMGDByNJ0hsvoXr8+HFatmz50u0xif5IKF46yMTKpDgARmorWnjMQqlQE534iMsPf2fnfxtoP3McycnJpKSkpD9SU1PRarXpj9zuUadR2qBUqKlVJuMcnrVKD+HCg2VEJ/jxXqlBmBk7ccVvPf4Rp9L3cbB3oVIla1QqFUqlMsOfCoUi/WulSkkRm1qvDa4gUdLhAwDuhzwbSa5QvDvvPREo30G//PILFy5c4LPPPuPChQt8+eWX6PV6evXqhSRJ/Prrr7kyQluSJBo1akSjRo14+PAhS5YsYfny5cydO5c2bdowbNgwmjRpkm9uP+U3iYmJ+Pj4vLC1Yu3atSQmJvLVV18ZoDIhP+rVqxfz589n7969tG79+takwiopNQr/iDPEJQWjl7VolGZcOh1ETEz+Xuf++VD59D2f1XofP37M3bt3qVev3kv3eRqCXi4tDBqpLLnm/yfmRs6Ucf6QqiW+5MypEdy9ezf9trBKpUKtVmNsbIxarUaj0WBkZJT+p7GxcfrDxMQEExMTTE1NMTMzw9TUFGNjYzQaDRqNBrVajUKhIDQ0lEePHvHw4UMePHjAgwcPSEhIANLWrq9YsSI371wmMfUxTz8yKhXtjJHaAh//v4hOeETdsqMw0djgH3EGnT4FF+saJKSEEZ8cwt4dJ1FmMez5hh55ZXB9HH0FZ6uqmBk5EBLjQ1xSEAAKSZWpG0FhJgLlO0ilUrFx40Zq1KhBx44dOXz4MD169ECWZXr37o1CoWDJkiW5Ou1PiRIlmD59OpMmTWLDhg3Mnz+fZs2aUalSJYYOHUq3bt0wMzPLtesXRFeuXEGn0+Hp6ZnheVmWWbx4MZ9++imurlmfCkMo3KpWrUq1atVYvXr1OxkoE1MiuB7wN4+jLz95Jm36GwkJ27J61u/vh9oqGFl2y7e/xD4NlbIsM2jQICRJYsCAAa897sSJEwCvDJQqpfErp8CJTw4BIDYpkMDIc6iUJpRx/hAzI0eaNv6IsUl/v+Grecl14uO5cuUKFy9e5MKFC1y8eJFr166RkpI2Yrts2bJUr16dbt264enpSfXq1XFwcAAgNPYG5+49GxFfwfVTAMJib2JqZJ/ez7OobW2KPrlN/fSXi6yGSQC10gTvByvSv34+uEbFPwTAzbEpAA+etE5KKChi8x4qpfFb/X8piESgfEc5OjqyZcsWGjRowIgRI1iyZAk9e/ZEr9fTp08fFAoFixcvzvUftKampvTt25c+ffpw5MgRFixYwKBBgxg3bhx9+/Zl8ODBlCxZMldrKCi8vb1RqVSZBlkcPHiQmzdv8uuvvxqoMiG/6tmzJ2PGjCE8PPydmpMyNjGQ03fno9Ul8myya/nJf9P+tLRWc/XRBmITg6jo2j5fh8p58+YBz1ooXxcqjx8/TsmSJSlatOhL97G3qADI2JiVxszIEY0qrT+7o2UlTDX2BEScIT45FEuTopR0+AAzo7RlC8Njb2FnXv6tXktERAQXL15Mf3h7e3P79m30ej0qlYpKlSpRvXp1evTogaenJ1WrVsXCwuLlr8G8PGZGTiQkhyKj5/D1Senb4pMfs+tS5uUsJUlJowrfv1HdjlYeXH30B3o5FcgYXJO10VibumFj5kZ0gh/hcbeBtInOS9g3fKPrFHRi2qB33PLly+nfvz+rVq1KX1llxYoV9OvXj8GDB7Nw4cI8/0Hr6+ubfjs8JiaGtm3bMmzYMD744IN8+0M/L/Tt25fz589z6dKlDM+3b9+e27dvc/Xq1Xf6/4+QWWhoKEWKFGHOnDkMHTrU0OXkieTUWI7fmkaKNi6Lk1BDhSLtKOXYLJcryx5Zlhk+fDgLFizg119/zdC9RZb1RMTdJSElHFnW8e2En1CkOrH6t5dP1p6amsq2k+OoXakjxezrZtq+69IQzI2ccS/aCRszN7S6JEJjrnMr6F8aVvz2lVPuyLJMYGBgemh8GiAfPkxrzTM1NaVq1apUr149/VG5cmWMjN589Ep8cignb89Eq0vK0r939ZK9cbH2fO1+/y8w8jyXHq7O8v6lHVtQvkjbN75OQSYCpUC/fv34/fffOXHiRPqE2cuWLeOrr75i6NChzJ8/3yBBJT4+nvXr17NgwQJ8fHyoXLkyw4YN44svvsDU9N1ZfeCpp7d7Vq5cmf6cn58fbm5uLFq0KF/3BxMM59NPP8XPz48LFy4YupQ8cTtoJ3cf7+Fpi6SteVnqlPk6034JKeHpLVpKhYamlaahUubv4biyLPP111+zcOFCfv31V/r07YFf+HF8Q49kWsNar1NQyrkRbg6NMdHYZth25MgRBg8ejJVzEhNnffQGFaQNPHF3fTaThF6v5969e5nCY2hoKAA2NjbpP7uePsqVK5djcx9D2u35c/e8SEgJzTTQSJbT/qNUGlG9ZE+crKq89XUehZ/i6qMNSEgvDK9Pr13KsRnlXdoiSe/W2jEiUAokJSXRsGFDHj9+zIULF7C3T1taa+nSpQwYMICvv/6auXPnGqz1S5ZlDh06xIIFC9i+fTvW1tb069ePQYMGUaJECYPUlNeSk5OxsLBg3rx5GQblTJw4kUWLFhEQECCmYBJeaNu2bbRr147Lly9Tpcrbf5gWBGlL8U0kRRuX/pxGZZ7hFq2TVRWK2NQgMPIClx7+lv585WKfU9zu5X0O84unoXLDn6tYufUr1KYpvGwNawkFSoUmfT7JoKAgxowZw/r166lbty6LFy/GxMmP+yH7snBlCWtTN0wTPuDSpSvpAfLy5cvpK6K5urpSvXr1DAGyePHiefLZIct6QmJ88A09QnjcLdIHFSntmPfzP3z0QR8GD8z8i8Wbik0MxDfsCAERZ9NvgaeRcLKqSkn7hthZlMv2dQoiESgFAB49ekSNGjWoUqUKe/bsQaVSIcsyU6YuYM6cRbRt+wnffDOcCuVdDXpb9f79+yxZsoQVK1YQGxtLu3btGDZsGA0bNizUt3svXLhAzZo1OXXqVPpExcnJyRQrVowuXbqwYMECA1co5Fepqam4urry5ZdfMnv2bEOXk6v+f5DGizSs8C3mxs6cuDWD6ES/J89KWJu58X7ZkblfZA5I0Saw9fhYjM31qFSvawWTUEhq7p91YtyoKRgZGTFjxoz0qeJkWeZ+yH5uB/37pH9pxkggyyBJcOVMGFPGbCcuNhF4Nljm+fD4dLCMocmyHp0+BYVCjUJS0qVLFy5evMiNGzdybLBpXHwkDZpWwdRcw1f9BvFZ+z4Yq61z5NwFlQiUQrpDhw7RrFkzRo4cQ5267fhr80n8/MIy7FO0qB2dOtbl41Y1MDU13O2huLg41q1bx4IFC7hx4wZVqlRh2LBhdO3aNV/OK5ddy5YtY9CgQcTGxqa/vnXr1vHll19y48YNKlSoYOAKhfxs5MiRrF+/Hn9//0I9J6V/xGmu+K176XZHy8rULDWA8Lg7nLk7P8M2faoxxtEfYWlpiZWVFVZWVlhaWmJiYpLvflm9HbQDvax76ZKJrja1KOXYHFMjO5JSo7kbtJd9h/7hwXlnJk+ejK1txlvgERERXLx8Gr+wk5g5hGNqoUCSIDYmiSN77nL3cgpFnSukB8jXDZbJb54uWbt7924++uhNbvG/3N27dylbtixKpZJFixZlafR9YScCpZDB5Mkz2PLPXUxN7ZGkJ/1PMpCRJImirnbMm9cbF2fDLr8lyzIHDhxgwYIF7NixAxsbG/r378/AgQMpXry4QWvLSQMGDODEiRNcvXo1/bm6detibm7Ovn1ZuV0lvMuuXLlC1apV2b59O23atDF0ObnGP+IMV/xePhCldpmvsTMvy7n7XoTG+GTYFhwQQ5/WmY9VqVTp4fL5oPkmf7ewsMixPoN6vZYDPhMpYd8QtdIkfcnEp4HS3qICtUoPITYxkAehBynp8AGWJkU5fXc+7kU6EhtJFgfLVMPTswaVKlV6q8Ey+Yksy/yPvbuOi/r+Azj+uju6S0IEwULs2d3d3T1nTdBZmzFnTeeM2bM7ZyfGzDlnF4oJKgjSIX1w9/n9wc+bzEIFjvg+Hw8fg7vv9/t5H4O79/cT70+VKlWwtbXl6NGjmXLN06dP06hRI/T09Jg/fz4jRry9ojy/kcoGSTRevUrgzl05RkZp5UXefashQwgIehnFtyNWs3b1cCwttTd3TyaT0bhxYxo3boyvry/Lli1j+fLlzJ07lw4dOuDh4UGdOnVyXA/Dp7p+/bpmwdTr7y9dusS+ffu0GJUktyhXrhxfffUVGzZsyNMJpaHu+29wzQydsDYpTmziy7eSSZBRokg5/Pz8ePXqFTExMcTExLzz69f/ff78+VvPq1Sq97ZvYmLyxYmpvr4+Ia+8SVHFv3fLxAJmpQEIiLzIi8hLyGU6lHHqTmHrukyZM4BF09NuQK2srPjqq6/o0qWLpufxdY9bXiOTyfD09KRfv348evSIEiW+fI6jv3/adAldXd0P/n/PT6SEUqKxctVJGjYoS6tWlSjkaIVcLudbj9XcvPkUJydrZs7oiWNBKxQKOcHB0ezZe4kVK08w4YeO2g4dgKJFi7JgwQKmT5/Opk2bWLx4MfXq1aN8+fJ4enrSo0ePXDkcrlQquXPnDn369NE8tmzZMpydnfNlwWrJ5+nfvz9jx44lPDxcs/Aur7EyKYYcY1Qi7q2byCKvC0+HnXrHmQJXu7o4Wrl+dttCCBISEt6biL7r66ioKJ49e5bu8cTExPe2oaurS6+h1enYtwyK98ydTE55BYCVcTGCo29jZVIcAGODAlStWZp9+4Zn62KZnKJbt26MGzeOpUuXZsqc84CAAOzs7EhKSiI1NTUTIsz9pIRSAkB8fBJHvW7Qq2cdLv79gHr1SuPg8O/dvhBw8eIDAgIiMDMz5OuvGzP6uzb0G7CEV68SMTPLOYmaiYkJw4cPZ+jQofz5558sXryYr7/+mvHjx2uGw52cnLQdZob5+PigVCo1PZQRERFs376dKVOmoKMj/QlLMqZnz56MHTuWbdu24enpqe1wMt3z58/58ccfSVTco59Hdd7MlQx0LbG3+IqklBgCo66+da6OwhB7i6++qH2ZTIaxsTHGxsYULFjws6+TkpLyVm/om18b2gYgk8e99/zn4eexMy+LvUUF7C0qkKJK265QhpwiRQpTvXj7z44tN9PX12fw4MEsXLiQmTNnYmZm9kXX8/f3x9nZGV9fXymh/L/8VSRJ8l4nT95GqUxh3frTLF56lIjI2HTPv3gRweo1f/L3xQdcv+5HfFwSAKmpKo4dv6mNkD9KLpfTtGlTDh8+zKNHj+jduzdLly7F1dWVrl27cuHCBXLDFOLr168jk8koX748AOvWrUOtVjNo0CAtRybJTWxsbGjdujUbNmzQdiiZKjIykrFjx+Lm5saJEydoVGMAxvo2yN74eEtKieLY7ZGcvjcJId4ennQv2OGTtuLLSrq6ulhbW1OkSBEqVKhAvXr1aNu2Lb179+bbb7+lYf3myOXv71lUqZP55/ECzt+fyd+P5nI/MG2LxJjEAPR0c89CmqwwdOhQkpKSMuVv4HVCqaOjIw15/5+UUEoA8PULQaH48K+DS2FbvI5MZuMGD6ysTFi46DC+vi/ZvTtzJjlnpeLFi7Nw4UICAwNZuHAht2/fpk6dOlSqVIkNGzaQlJSk7RDf68aNG5QsWRITExNUKhW///473bp1yzElOiS5R//+/bl58ya3b9/++ME5XGJiIr/++itFixZlxYoVTJgwgSdPnjB08AiqFfPAQNciXVL5trSkzM2hLU7WNbMn6EyQVpg7bcvEQlY10m2ZWMiqBjpyA9wdO2FuXBgbEzdKFuyASq3EL/Qk9ubltRu8ljk6OtK5c2eWLFmCWp2xXZTe53VCqVAopB7K/5MSSgkAyckp71mE86+gl5GMHLWOX+bs5dWrRPr1bYBTIRtu3rzN9OnTsyfQL2RqasqIESO4f/8+Xl5e2NvbM2DAAJycnJg8eTKBgYHaDvEtby7I8fLy4unTp9KKQslnadGiBba2tmzcuFHboXw2lUrFhg0bcHNzY9KkSfTs2RNfX19++uknTXF/I30barqNw9mmNgqZHpC2h7MMhSbJNDd0opLrYIraNdXaa/kchnpWFDAtjZN1Tco598JYP+3GsohtY8o590IgsDYpTplC3Shm35zYxEAuP1lMcsor7PJ5Qgng6enJkydPOHbs2GdfQwgh9VC+gzQBSwKAqenH50AmJaVw9doTAEqUKEjHDtWpU8eda9dO8tNPP7Fu3TpatWpFmTJlKFu2LKVLl8bSUrtlhd5HLpfTvHlzmjdvzqNHj1i6dCmLFi1izpw5dOrUCU9PT2rUqKH1Seupqancvn2bbt26AWmLcSpXrkzVqlW1Gpckd9LV1aV3795s3ryZOXPm5KqalEIIjh07xvfff4+3tzedO3dm1qxZFC9e/J3H6+uYUrpQV9wc2hIUfZ34pBDUIhVdhTF25uUwN8o986j/q6hdUy49WfjeEkkXHv7y1mMlC7bPMcP62lS9enUqV67M4sWLadmy5WddIzIykoSEBKmH8j+khFICQM2abmzfcYEK5V1wcrLB0sI47fEabhRytMbS0hgzMyOePg3BwsKYxo3T7nSf+Ibg6dmLw4dUnD59mt27d7Ny5UrNHZujoyNly5bVJJllypTB3d09R622LlGiBIsXL2bmzJls3LiRJUuWUKtWLSpVqoSnpyfdunXTWh22+/fvk5SURKVKlTR31evXr//4iRLJe/Tr148FCxbg5eVF27ZttR1Ohly7do3x48dz5swZ6taty6VLl6hWrVqGztVRGOSKLRU/hZVJUco69cQ7YGuGji9kVR3XAo2yOKrc4XUJob59+/Lw4UPc3Nw+ftJ/vC4Z9LqHUkoo00hD3hIAKn5VhEKOVrRqVYkJP3TE0TGtrlmvnnWZ8ENHIiPjqFunFGPHtKN/vwYEBUUy8+fdBL6IYKRnH06dOsXUqVMJDQ1l2rRp3L59m61bt9K3b190dHTYvXs3/fr1o1KlSpiYmODm5kanTp2YOnUqu3fv5sGDB1r/ozQzM8PDw4MHDx5w9OhRChQoQL9+/XB2dmbKlCkEBQVle0w3btwAoEKFCixfvhxra2tNb6VE8jnKlStHxYoVc8XiHF9fX7p3706VKlUIDQ3l0KFDnD17NsPJZF7mZF2Dii7foK+Ttlo5/XzRtJEVhUyPEvatKevUS+ujLTlJ165dsbW1ZenSpZ91/uuE0snJSRryfoPUQykB0u7a+vZtwM+z9vDzrD3vPObwketvPVasqBq1Wo1cLuenn35CrVYzefJk9PT0GDduXLpjX716hY+PD3fv3sXb25u7d++yfPlywsLCgLSyDu7u7pqezNe9moUKFcrWN0O5XE6LFi1o0aIFDx8+ZOnSpfz222/Mnj2bLl264OnpSbVq1bIlpuvXr1OiRAkUCgXr169n8ODBOap3V5I79e/fn9GjRxMWFpYjF3eFhYUxY8YMVqxYga2tLWvXrqVfv355suj2l7C3KI+deVlCX90lIOIi8clhCKFCX9ecgpaVcbSsio4id+9ykxX09fUZOnQoCxYsYObMmZibm3/S+f7+/ujr61OgQAFpyPsN0taLEg0hBAsXH2HXrosZOt7VRY8d22dQv359tm/fjq2tLUIIpkyZwsyZM5k3bx5jxoz56HVCQ0PTJZmv/xsfHw+Aubl5ugTz9dfW1tYfuXLmiYmJYcOGDSxZsgRfX1+qVKmCp6cnXbp0ydLh8Fq1auHs7EzDhg0ZMmQIfn5+uLi4ZFl7kvwhPDycggULMnfuXEaOHKntcDTi4+P57bff+PXXX5HJZPzwww+MHDkSIyMjbYcmyWNevnyJs7Mz8+bN++S/gXHjxrF//34eP35MhQoVqFOnDkuWLMmiSHMPKaGUpCOEoG+/yTx+koJCofP/x/59XiYDhUJB/371GdC/IWfPnqV79+7o6uqye/duqlevjhCCyZMnM2vWLBYsWMB33333yXGo1Wr8/f3fSjIfPHhASkoKAA4ODm8lmaVKlcLY2DhTfhbvi8vLy4vFixdz4sQJ7OzsGDJkCEOHDsXBwSFT21KpVJiZmTF16lS2bt2Ks7MzBw8ezNQ2JPlXp06d8PPz4+ZN7deRTU1NZd26dUydOpXw8HC+/fZbJk2alGd39JHkDL169eLy5cs8evQIuTzjMwC7detGeHg4p06dolKlSlStWpXff/89CyPNJYRE8obHjx8LPT098f33k8SOnRdE7z4LRdPm00TT5tNEr94Lxbbtf4mYmPh057x48ULUqFFD6OrqiqVLlwq1Wi3UarX4/vvvBSAWLlyYafEplUpx9+5dsWPHDjFp0iTRrl07UbRoUSGTyQQgZDKZKFq0qGjfvr2YPHmy2LFjh7h3755QKpWZFsNrPj4+Yvjw4cLY2Fjo6uqKnj17ikuXLmXa9e/du6f5+QHi2LFjmXZtieTgwYMCEDdv3tRaDGq1Wuzbt0+ULFlSAKJnz57Cz89Pa/FI8pdLly4JQBw+fPiTzqtevbro37+/EEKIqlWrim+++SYrwst1pIRSoqFWq0WLFi1E4cKFRXx8/MdPeENycrLw8PAQgOjdu7eIi4sTarVajBs3TgBi8eLFWRR1mri4OHHlyhWxdu1a8d1334nGjRsLe3t7AQhA6OnpiXLlyomePXuKWbNmiUOHDomnT58KtVr9xW1HRUWJBQsWiCJFighAVK1aVWzZskUkJyd/8rXUarXw9w8Td7yfiwULVgkdHQPRsWNHUbx4caFSqb44VonkNaVSKezs7MSoUaO00v7ff/8tatWqJQDRuHFjcf36da3EIcnfqlatKpo2bfpJ5xQsWFBMmTJFCCFEzZo1xYABA7IitFxHSiglGvv37xeA2Ldv32dfY+vWrcLIyEiULVtWPHr0SKjVajFmzBgBiKVLl2ZesBkUFhYmzpw5I5YsWSIGDx4satasKczMzDSJpqmpqahevboYNGiQWLRokTh16pQIDQ39rLZSU1PFwYMHRePGjQUg7O3txdSpU8XLly8/em5cfJLYvecf0a3HfFGj1gTNv+o1vxcl3NqLiRPnZEryK5G8acyYMcLGxuazbn4+14MHD0SHDh0EIMqXLy+OHz+ebW1LJP+1efNmAQgfH58MHZ+cnCxkMplYs2aNEEKIOnXqiD59+mRliLmGNIdSAkBCQgKlSpXC3d2do0ePftEK5rt379KxY0dCQkLYtGkTbdu2ZcyYMfz2228sX76cYcOGZWLkn04IQUBAQLq5mXfv3sXHxwelUgmAra1tuvmZrwu1v96J42N8fHxYsmQJmzZtIiUlhW7duuHp6UmVKlXeOtbPL4RRo9cRERH7//j+G68amUxOm9aVGDe2PTo60kpXSebw9vamXLly7N+/n3bt2mVpWy9fvmTatGmsWbOGQoUKMXPmTHr27PlJc9ckksyWnJxM4cKF6dSpE8uWLfvo8U+fPqVIkSKcOHGCJk2a0LBhQxwcHNi6NWM1QfMyKaGUADBlyhTmzJnD3bt337vzxKeIiYlhwIAB7Nu3jx9++IHp06czbtw4Fi1axIoVKxgyZEgmRJ25UlNTefLkSbok09vbmydPnvD6z8TV1fWtFedubm7o6em985pRUVGsW7eOpUuX8uzZM6pXr46npyedOnVCT0+PFy8i+PqbZcTHKz+6t6xMBk2bVGDKj12kmnKSTFO5cmWcnJzYt29fllw/NjaWuXPnMn/+fPT19Zk8eTLDhw/HwMAgS9qTSD7V1KlTmTdvHi9evMDCwuKDx547d4769evz4MED3NzcaNKkCVZWVuzcuTN7gs3JtNk9KskZHj9+LPT19cWkSZMy9bpqtVrMmTNHyOVy0bBhQxEcHKyZZ7lq1apMbSsrxcfHi2vXrokNGzaIsWPHimbNmglHR0fNsLmOjo4oXbq06Natm5g5c6bYv3+/8PX1TTfnMTU1Vezfv180bNhQAMLBwUFMnz5d9BuwSNSuO0nUqDVB/LHroub47j0WiCbNpgkfnwARF5cokpNTRGBghFiz9k9x8s/b2vgxSPKoJUuWCB0dnc+e6vE+ycnJYsmSJaJAgQLCwMBAfP/99yIqKipT25BIMkNQUJDQ1dUVCxYs+OixmzZtEoBmnUHz5s1Fp06dsjrEXEHqocznhBC0bt2au3fvcv/+/Syp93bmzBm6d++Onp4eu3btYsuWLSxbtow1a9bw9ddfZ3p72SUyMpJ79+691aMZHR0NgJGREaVLl35r68mwsDCWLVvGrl1euLn3AtK2uPxldm9UKjX6+rr06PkbEZGx9O/XgGfPQtHT06FfvwYUsDFjyZIjeHi00uIrl+QlERERODg48OuvvzJq1Kgvvp4Qgl27djFx4kT8/Pzo168f06dPx8kp9+6dLcn7evfuzT///MOjR48+WED/559/ZuHChZoNOVq3bo2Ojg779+/PpkhzLmmnnHzu0KFDHD16lL1792ZZ8eAGDRpw48YNunTpQt26dfntt98YOnQo33zzDTKZjIEDB2ZJu1nNysqKOnXqUKdOHc1jQgiCgoLSJZm3bt1i27ZtJCUlAWBtbU3ZsmWpXqMjUdECS0tTJk7oxMZNZ2nZoiIODpYAxMUlsXSZF+bmRliYG9O2TRUK2Jjx7HkYvr7BFC1qr5XXLclbrK2tadu2LRs2bPjihPLs2bOMHz+eq1ev0rJlS/bt20fZsmUzJ1CJJAt5enqydetWjh49Sps2bd57nL+/P87Ozprvpb28/yUllPlYYmIiI0eOpHnz5rRv3z5L23J0dOTs2bOMHTuWESNG0KtXLwYOHMigQYOQy+X0798/S9vPLjKZDEdHRxwdHWnevLnmcZVKha+vb7qezOcBSnR0DJk8qRMvXkSwfsNpWraomO56hoZ6eB2ZrPl+y9bz/HPpEY0alZMSSkmmGTBgAK1bt+bqrTMUdDZBJZToKoywMimGvo7pR8/39vbmhx9+4OjRo1SpUoUzZ85Qv379rA9cIskkVatWpVq1aixevPiTE8rk5OTsCDHHkxLKfOyXX34hKCiIEydOZMsiDz09PRYvXkz16tX55ptvKFq0KF27dmXgwIHI5XL69u2b5TFoi0KhoESJEpQoUYIOHToQFBTEkGHrqFa1JJUqFmXc+E04OFiiUKSteLWzMyckNJrk5BQ8R63FxtqUAf0b0qljdf664ENiolLLr0iSVwihply1Aiza2o0w9hDm/+9zMuQ4WFTExbYBFkaF3zo3ICCAKVOmsHHjRooUKcLOnTvp0kVaNCbJnTw9PenVqxc+Pj6UKlXqncf4+/vTuHFjzffSXt7/khLKfMrX15c5c+YwduzYTFnV/Sl69uxJuXLl6NixI15eXjRu3Jj+/fsjl8vp3bu35jilMpXLVx4TFhYDgI2NGdWqFkdfXzdb4/0cQghCQkJ4/PjxW/+ePHlCQkICZcv1p0P7mujp6bBoYfph/4W/DeSHCZs5/9d9rl3zBcDa2pRvh7egcaPymJhIK2QlX06tTuW2/yZeRt+gSMm3tzkUqHkZfYOg6OuUdeqBk3VNAKKjo5k9ezaLFy/G1NSUxYsXM3jw4PdWO5BIcoPOnTszZswYli5dyvLly996Xgjxzh5KlUqVnWHmWFJCmU+NHDkSOzs7Jk6cqJX2y5Qpw9WrVzWlhcqVK0ffvn2RyWS0aNGWP3ZdZN/+K8TGJqY7z9TEgPbtq9G1S02srT8+FJeVhBCEh4e/N2mMjU2rKymTyXBycqJ48eLUrFmTfv36Ubx4cbzvxnHmjDd+fiGaa44d0xZLSxN+W3gIFxdbqlYtwcOHgRgY6NK5Uw0AfH2DGTigoVZesyTvEEJwJ2ALL6PT9vJ+XzlIQVo5K++AbahUMvZsvsjPP/9McnIy48aNY+zYsZiZmWVX2BJJltHT02PYsGHMmTOHWbNmvVVCKDo6mri4uHQJpdRD+S9plXc+dOjQIdq2bcuePXvo2LGjVmMRQjB37lwmTJiAnZ0dMa9SqVFjKEnJKtTqd/9qyuUyLCyMWfTbwGyZRxgVFfXOpPHx48eaFd0ABQsWpHjx4pQoUYLixYtr/hUpUgRDQ8O3rhscHE2nLnN5809wz65xODhY0qPnbzg6WvHt8BY4OFigVguCQ6I5duwm/gHh/DKr91vXk0g+RdgrH+QyHcwMC6GQ65GcGktIzB0eBO2jjFN3CllVf+uc+wGHqezemd69+jF16lQcHBy0ELlEknVCQkJwcnLil19+YfTo0emeu337NhUqVODSpUtUq1YNgIEDB/Lw4UP+/vtvbYSbo0gJZT6TmJhIqVKlcHNzw8vLK8fMdTp9+jS9e3+No1M7dHQMkMk+vHuGXC7DzNSQtWu/xcHe8ovbf/Xq1XuTxoiICM1xdnZ26ZLF1/+KFSuGsbHxJ7c7+cdtnD13773J87ssW/oNX1Vw/eS2JJI3XfNbgbWJG3FJLxEIitg2wsTAnnsv/iA64TlGev8Ogbs7dsRA15wrvssg0Z6qZTppMXKJJGv17duXCxcu8Pjx43QlhF53xgQFBWlupgYPHszt27e5fPmytsLNMaQh73xmzpw5BAYGcvz48RyTTAI0bNiQ3n1/orCzHW3aVKGQoxVyuZxvPVZz8+ZTzXEKhZzVq4ZR0s2RiIhYFi05wvSp3TPURnx8PE+ePHln0hgS8u+ws7W1tWYBTatWrdIljZk9tPfD9x3xexqKv39YhpLKEcNbSMmk5IslpUQT+uoeoa/uoqswQkdhiIPFV5gY2COEICbhOTEJzwGwMHLFQNec2MQgwmMfYGYYq+XoJZKs5eHhwebNmzly5Aht27bVPO7v74+uri52dnaax6Qh739JCWU+4uvryy+//MK4ceMoUaKEtsNJJyoqjn/+eUKJ4oW4+PcD6tUrranH+KYhg5vi5PRvz8mZM3eJHBmHlWXaHtuJiYn4+vq+M2kMCgrSnGdhYaFJFBs1apSut9HS8st7PDPKxMSAFcuHMGnyVq7f8EOhkKNSpd+CUSYDHR0Fo0a2pkP7atkWmyTvSkgOJ22jJ6jnPgU9nbS/n8DIKwREXkx3bBHbRgD4hZ0CBPHJodkZqkSS7apUqUL16tVZvHjxWwmlk5NTuv3npUU5/5ISynxk1KhR2Nraam0hzoccO34LtVqwbv1pAMqUdX4roaxUqSjdu9Xi17n7mTghbchNpVLzzTeTiY7y5vHjx7x48UIzJ9HU1FSTJNapUydd0mhtbZ1jemjNzAxZsngQPvdfsHfvJU6fuUtSkhKZTEZBB0s6dqxOq5YVMTPLmsLzkvxHJVI0X19/uhp9XTOKFGiEg2UlQmLuEBxzCwAjPRvszMuRpIwmKOoaAGohfXhK8j5PT0969uzJvXv3KF26NPB2DUqQeijfJCWU+cShQ4c4fPgwu3fv/qy5flntxYtwFAoZqanvHvY1MzNkyuTO7Nh5gWvXfTWPq9Uq/P3DKOxsSa9evdItirG1tc0xSWNGlHIvRKlJnZk8qTMpKakoFPJ0d8ISSWbRU5hovo6K//fvqaLL1zhaVdMklC4FGiCTyXkWfhbx/0RSV/72AjOJJK/p1KkTDg4OLFmyhBUrVgBpCWWxYsXSHSf1UP5LSijzgdc74jRt2lTrq7rfJyVFxYeWh3l82xJlioojR29g//9FOHK5HBcXO8qUrsLkSZ2zKdLsoasr/WlKsoa/vz8bNqynTpuiFC9ck6h4P2TIKGxTD4DYxEAAdBVGFLKqTooqEf/wC0BaoXN7i6+0FrtEkl1elxCaPXs2s2fPxtLSEn9/fxo2TF+yTeqh/JfU/ZEP/Prrr7x48YIlS5bk2B47c/MP95o6FLTEsaAV27d+x/Kl3wBgaWnMjm2jKVBAqoEnkXxIcnIyf/zxB82bN8fFxYVff51LwJNETA0K4l6wA+6OHZHLdfANOcHj4KMAOFvXRkehz4uIf0hVp+1DL1BT2KbOh5qSSPKMwYMHo1KpWLt2LSkpKQQFBb015C3t5f0vqRskj/Pz82P27NmMHTs2xy3EeVP9eqXZuu08Fcq74ORkg6VFWoJZs4YbhRytWbP2FJYWlwCwsDBm3Nh2vIpNZM6cfXTvXluboUskOdadO3dYu3YtW7ZsITIykpo1a7JmzRq6du2KngGcuz+dFFUirxfovMk39AS+oSc03ws12JqXxtSwYDa+AolEe+zs7OjevTtLly6lY8eOqNXqdyaU0pB3GimhzONeL8SZNGmStkP5IBcXK4yNBK1aVaJVy0qax3v1rAtAzdr/LiSyt7cAIEWZynP/MMqUdsrWWCWSzJaUEkNUnC8p6kQUMj3MjZwwMfi8ov3R0dFs376ddevWce3aNWxtbfn6668ZOHAgJUuWTHdslSLDuey7GLU6VbMjzrsINTx9HM6DwFdUGf3ewySSPMfT05NNmzaxY8cOAGlRzgdICWUedvjwYQ4dOpRjF+K8duzYMYYNG0ZCojE/z5Lx86w9Hzw+ODhak2DOnNEjxw7jSyQfExXvx9PQM/9fBJO+l9DSuCguBepjb17ho7/jarWac+fOsXbtWvbs2UNKSgotW7Zk//79tGzZEl1d3XeeZ2HsQo3iY7j1fANxSS9RpapR6Lw5Eyqt3YJWX3HlgR/Tp/6AjsKAkSNHfsGrlkhyj0qVKlGzZk22bt0KgJNT+g4MqYfyX1JCmUclJibi6elJkyZNcuxCnJCQEEaNGsWOHTto1KgRK1as4OI/gaxYeTxD5w8Z3JSGDcpmcZQSSdZ4GnaG+4F7kCHnXUPOUfF+RMX74mhZjbLOPZHLFG8d8+LFCzZs2MD69evx8/OjRIkSTJ06lb59+2Z4W0QzQ0fquE3E5/HfrP9jKg2aVcLQSA9dhRF25mVxsq6FoZ4lFaYIEuOVjBo1SrNgQSLJDzw9PenevTtmZmaYmJike07qofyXlFDmUa8X4uSk7RVfU6vVrF27lvHjx6Ojo8OmTZvo3bs3MpmMYsWKYW1twtJlXsTEJCCXyzQ7yLz+2tzciG+HNad168pafiUSyecJiLjI/cC0nvj3DzWn/d4HRl1GLtehTKHuyGQylEolBw8eZO3atZw4cQIDAwO6du3Kxo0bqVWr1mf9vctkMq5efMKCKaeZ9O2udxb3l8lkzJkzB6VSyfDhw9HT0+Prr7/+5LYkktymY8eOGBkZvbOnX+qh/JeUUOZBfn5+/PLLL4wZMwY3Nzdth5PO/fv3GTx4MBcuXKB///7MnTsXGxubdMe0almJZk0rcP68D0e8rhMSEgMC7OzNadm8InXrlpLK6khyrZTUBB6+PEQl18GYGTqhp2OCMjWWwMirPAo+THH7FhS3b/nWeeFRQfw8fS5btmwhPDycGjVqsHLlSrp164apqekXx3X+/HnKlSv3wZ2iZDIZv/32G0qlkm+++QZdXV369u37xW1LJDmZrq4uhQoVwtfXl8jISKysrDTPSau8/yV9KudBo0aNwsbGhsmTJ2s7FI2kpCRmzZrFL7/8gouLC6dPn6ZBgwbvPV5HR0HDhmVp2FAa0pbkLS8iL6GQ62Gib09AxN8oU+MoateUYvbNSE59xcvom8Ql/bu3fFG7ppgZOnL+8m62bt1Kv379GDhwIKVKlcrUuM6fP0/Llm8nsv8lk8lYunQpSqWSAQMGoKenR/fu3TM1Fokkp5HL5QghWLt2LePGjdM8Lg15/0tKKPOYI0eOcOjQIXbt2pVjFuKcOXOGoUOH8vTpU3744QcmTpyIgYGBtsOSSLTiefhfJCmjOPdgBq+HteUyHUoV6oyZoSPPw88Rl/QSAANdS0wM7ElOjcXQ/hlPnz/E2DDz95oPDAzE19eXunXrZuh4uVzOqlWrUCqV9O7dG11dXTp16pTpcUkkOUVQUBBfffUVS5cu5bvvvkNHJy19koa8/yUVNs9DkpKS8PT0pHHjxjnizT0iIoIBAwbQsGFDbG1tuXXrFtOnT5eSSUm+JYSaBGX4/+dNvl6II6OAWdpeweGxD9Md71KgPnKZAv/wvxAoSRVxWRLX+fPnAahTJ+NFy+VyOevXr6dLly50796dQ4cOZUlsEom2xcTE8OrVKzp16oS/v3+633Wph/JfUkKZh/z6668EBARofUccIQSbN2+mZMmS7N+/n1WrVnHu3LlMH6KTSHIbgeDNFd1ymQ4VCvengJk7T8PO8DL6uuY5HbkBTtY1UamVPA9LS/i8794mJiYm0+M6f/48bm5u2NnZfdJ5CoWCTZs20a5dOzp37syxY8cyPTaJRNv8/f0BqF+/PrVq1WLx4sWa5173VKrV76/jml9IQ955xNOnT5k9ezajR49+q3hxdnry5AlDhw7l1KlTdO/end9++w17+88r0CyR5DVymQKFXA+VWomOwpBKroOxNinO4+Cjmi0PX3OyroWuwpDn4X+hVKX1THbr0psg/xgKFixIyZIlcXd3T/fP3t7+s24mz58/T7169T7rNenq6rJt2zY6d+5M+/btOXz4MI0bNwbSemRDX90jMu4xKapEdOT6mBs5Y2/xFQr5u2tjSiQ5zeuE0tnZGU9PT7p168adO3coV66cJqFMTU1FT09Pm2FqnZRQ5hHaXoijVCqZN28eM2bMwN7eHi8vL5o3b66VWCSSnMzOvDyhMd7UKPYdpoYFCX11j7ikEBwsKqFMjSUi7hEy5LgUqIcQap6GngbAUNeGg/tO8eD+Ax48eMD9+/c5c+YMq1atIiUlBQBzc/O3kkx3d3dcXFxQKN6uYwkQFhaGj48PEydOfOfzGaGnp8euXbto3749bdu25ajXUQq7q/ELO0VySsz/a20CyBCouPdiF842tSlu3wKFPH9/CEtyPn9/f3R0dLC3t6dDhw44OjqyZMkSVq9erfm7khJKKaHME44cOcLBgwf5448/3iq6mh0uXrzI4MGDefDgAWPGjGHKlCk5ZkGQRJLTFLapS1S8r2ZPbFuz0tj+fw5lRNxjIp48wsGiIoZ6VgRH3yJBGQaAq20DXApUolLFSumul5KSgp+fH/fv39f88/b2ZteuXcTFpfVs6uvr4+bm9lavZokSJfjrr78AMrwg53309fXZu3cv7dq35dT1udQwc3290c5btTZT1Yn4hf5JROxDqhYdga6O0Re1LZFkpYCAAAoVKoRCoUChUDB8+HB+W/QrIye2wcTpEdOXtuZu4GZsLUriaFUVXYWhtkPWCpkQ4u0tGiS5RlJSEqVLl8bV1ZWTJ09m69zJ6OhoJkyYwIoVK6hatSqrVq2ifPny2da+RJIbCSG4/GQRUfF+H9w/+zWVSmCga0r90j990geVEIIXL16kSzRf92yGhoYCaQtrTE1NUSqVjBgxIl2yaW5u/lmv79bTrQRGX8zQe5EMOZbGRahWzBOZTJrSL8mZevfuTUBAAOfOnSNFlchN360Ex1xHoZPWO5n2qy4DBHKZLk7WNSlZsF2+632Xeihzublz5xIQEMCRI0eyLZkUQrBr1y5GjhxJfHw8S5YsYdiwYe8dUpNIJP+SyWRUdP2Gfx7PJyE5/CNJpYzkRCUrZlyk8vokLC0znlDKZDKcnJxwcnKiadOm6Z6LiIjQJJeTJk3CxMSEXbt28fz5c173MTg4OODu7v5Wr6aDg8N732vik0MJivmH6sVGYmZYCIVcj+TUWEJi7vAgaB/mRoUp69QDQz0rhBAkKMN4Enyc0Ff3sDOXas5KciZ/f38KFy5Mcmoslx4vJCE5DB3d/37epf3dqEUKz8PPEx3/lGrFPNFR5J+qJlIPZS727Nkz3N3d8fT0ZM6cOdnS5vPnzxk+fDhHjx6lQ4cOLF68mEKFCmVL2xJJXpKSmsCdgC2ExNxBhjxdYvn6ezNDJwwSq9O8cSdcXFw4efLkB3ey+VQxMTFYWlqyZs0aBg4cSEJCAg8fPnyrV/PRo0fp5mm+a0GQq6srj4IP8CzsLCULticuKRiBoIhtI0wM7Ln34g9iEgKwMXUjURmFoZ4lxexbAHDj6RoqFxmSaa9LIslMLi4u9OrVk5b9LHmVEJChkQWQYWNakipFhue47Y+zitRDmYuNGjUKa2trfvzxxyxvKzU1lUWLFjFlyhQsLS3Zv38/7dq1y/J2JZK8SlfHiEqug0lIDsc/4m/CXvmQqkpEodDDwsgFZ5s6WBgVBuDUqVM0atSIxo0b8+eff2ZaUnnhwgWEEJr5k0ZGRnz11Vd89dVX6Y5LTU19a57mvXv32L17d7p5mlv+7IeRiS73g/aiqzBCR2GIg8VXmBjYI4QgOuEpMQnP0VUYYWxgSxF1E2QyOZHxT0hOeYW+rlmmvC6JJLOoVCpevHhBiXKWxCQ8B6CUYxdcCqRVRTh3fwbxyf/ubFXJdYimt/3Y7VFEJzzF0rhI9geuBVJCmUsdPXqUAwcOsHPnzixfiHPt2jUGDx7MrVu38PDwYObMmZmyd7BEIgEjfRtKFmxHyYLvv0ErX748p0+fpmHDhpmaVJ4/fx4HBweKFi36weN0dHQoUaIEJUqUSHcjKYQgMDAwLcl8cA8jkyea5+q5T0FPJ+29KTDyCgGRFwEoYFaKykWGApCqSub2802kqhJJSomREkpJjvPy5UtUKhUFCscjQ46NmTvONrVRqZVvzZF0tq6DtUlxzfcy5DwPP59vEkppFnQu9HpHnIYNG9KlS5csayc2NpZRo0ZRrVq1tIUEly+zaNEiKZmUSLSgXLlynD59mufPn9O4cWOioqK++Jrnz5+nbt26nz0kJ5PJKFSoEE2aNOHbb79N99z1p6u58Wwt0fHPcLCshJ1ZWq9NVPxTrvguxefFbgBKFmyHTj5dFSvJ+fz9/TEx1QeDcHR1jCnn1AvfkOMkp8amO85E3x53xw74BO7WPCZQ8zLqBmqRP7ZmlBLKXGjevHk8f/6cpUuXZtncjIMHD1KqVClWr17NnDlzuHr1KlWqVMmStiQSScb8N6mMjIz87GvFx8dz7dq1zy5o/l8KuS468n8Tw6h4X4Kjb+IXdgq5TIGjVTUAUlTxhMc+4Fn4WSLjn2Ckb4ONiRsGup+3qlwiyUr+/v6YW6X9Xpdz7k18chiPg73SHSOX6VDBpT8hMd68iLyU7jmBmlRVYrbFq03SkHcu8+zZM37++We+++473N3dM/36gYGBeHp6snfvXlq0aMHy5ctxcXHJ9HYkEsnneZ1UNmrUiCZNmnDy5EmsrKw++TqXLl0iNTX1i+tPvslcrxToJOBoVZmoeD9kyChsk5awxiYG4u7YiVRVEgnJ4RjpW2NtUgK1UKGQ60vD3ZIcyd/fH2NjYxwtq2FtUoLrfisx0rPWFOs31LPEwaIiBrqWePtvw0jPRnOukZ4N8cqwNwr7521SQpnLfPfdd1myEEelUrFixQomTJiAkZERO3bsoGvXrvlmdZpEkpuUK1dOs1Dnc5PKc+fOYW1tnSk3piEhIcyaNYuDR7ez5fBYTA0KYm9eHplMTlJKDL4hJ3gcfJQidk1wtq6Fno4panUKMQn++IWepJBVjS+OQSLJCv7+/pga2WCkb4NCrkvVYiPSPV+16AhSVAnoKoyo5TY+3XN13Sdz8dH8fFM6SEoocxEvLy/279/Pjh07MnUe4507dxg8eDCXL19myJAhzJ49O1NLk0gkksz3ZlL5eqHOpySV58+fp06dOsjln997EhUVxdy5c1m0aBG6urqMHTsWA50C/P3oV17X5XuTb8hxfEOOa76XIcfcqDC25mU+OwaJJCv5+/tjb1eIVFUSN5+u05QMKl2oG/q6ptx7sYtXiS/Q1/n3M7mi6yAAbj3bgJVx0XxTtD9/vMo8IDk5WbMQp2vXrplyzYSEBH744QcqVapEbGwsFy5cYMWKFVIyKZHkEq+HvwMCAj5pTmVycjKXLl367OHu2NhYZs6ciaurK4sWLWLkyJH4+fkxefJkvnLtg61ZRhJEGSYGDlQuMgS5TNoUQZIz+fv74+zsjL1FeV7G3CA45hbBMbdQCSUA4bEP0uYL///x4JhbmnODY25RyDr/9L5LPZS5xLx583j27BkHDx7MlGHo48ePM2zYMIKCgpg6dSrjxo3L9xvbSyS5UdmyZd8qKfSxnsqrV6+SnJz8yQtykpKS+P3335k9ezYxMTEMHTqUiRMnYmdnpzlGLtehkus3+Iae5FnYWZSpsciQk6pKRSaTI5eDQq6Hk3UtSti3Rkeh/1mvWyLJKnFJwbyMvkFyyivqtytAGXdLDHWtcbCoyMvom4DgrM9P7z3/6K20YfHCNvUwMbB773F5jbRTTi7w/Plz3N3d+fbbb5k7d+4XXSskJITvvvuO7du307BhQ1asWEHx4sU/fqJEIsnRvL29adiwIU5OTh9NKmfNmsUvv/xCVFRUhrZMTUlJYd26dcyYMYPg4GAGDBjAjz/+iLOz8wfPUwsVITF3iIh7xO49O3Au5Erj+p0oaFFZSiQlOU5E7CMeBR8lKv6JZiGNMiUFHR0Fcpkca+PSXL76F0XczT/aseNoWZVyzr3zzXA3SAllrtCxY0cuX77MgwcPPnvupFqtZt26dYwfPx65XM6CBQvo06ePtOhGIslD3pVUCiGIivcjIOJvYpNeohap+Nz1xe9eAj9PXo/uB2pAqlQqtm/fzk8//cTTp0/p0aMHU6dO/ayb0FKlStGiRQvmz5//JS9RIskSLyIvccd/6/+/e3dapFYLEuOV2JpWRq0XSKIy8v+JpwwQCNQY69tRxLYRhaxq5LvPV2nIO4c7duwY+/btY/v27Z+dTN6/f58hQ4bw119/0a9fP+bNm4eNjc3HT5RIJLnKf4e/9x1Zx/Pow8QlB6fbL7xQEUOcihpx6u5EXG0bUMK+dbqeFCEE+/bt48cff8THx4d27dqxf/9+ypYt+9mxGRgYkJiYP+rxSXKX0Ff3/p9Mfrh/TS6XYWSiT7LiCbWKjCMhJYLo+Geo1MnoyA2wMimGpXHRfJdIvib1UOZgycnJlClTBicnJ06dOvXJv6RJSUnMnj2b2bNn4+LiwooVK2jYsGEWRSuRSHKKu3fv4jGuB99Nr4OOroKPfVDamZenosvXgIzjx48zefJkrl+/TpMmTZg5cyZVq1b94phq1qxJyZIlWbdu3RdfSyLJLEIInoadxs6sLEb6Nshkci49WURk3GOK27ekuH3Lt855EXmZqHg/yjr10ELEOZfUQ5mDzZ8/n2fPnnHgwIFPTibPnj3LkCFDePr0Kd9//z2TJk3CwCB/1MKSSPI71+K2jJ/dEJU6lY8lkwAhMbc5deV3po/byV9//UWtWrU4e/Zspu2iA2BoaEhSUlKmXU8iyQxR8b6kqpIIfXUXO4vyGOlZa557GX2TuKQQzfdF7ZpiZuhIdPxTAiMvU7Jg+w9OGclvpIQyh3r+/DkzZ85k1KhRlCpVKsPnRUREMG7cONavX0+tWrXYt2/fJ50vkUhyv6ehZ6hadARmho4o5Hokp8YSEnOHB0H7UItU9HXMcXfsgI2pOwq5HonKSG76bSZVlcjRo0dp3rx5pg/bSUPekpwoMPIKLyIvIVBjYeyaLqGMS3pJXNJLAAx0LTExsCc5NZYXkZdRi1SCo2/hlI/KAn2MlFDmUKNHj8bS0pIpU6Zk6HghBFu3buW7774jJSWFlStXMmjQoC8qWiyRSHKfFFUiLyIvYaxfgKCoqwgERWwb4VKgHvHJIQRE/EP1YiMx0rfBP+ICMQn+GOvboaunz5Z9v1LEtkGWxGVgYEBCQkKWXFsi+VyJKZGaucUf4lKgPnKZAv/wv1CLFGTISUqJyoYIcw8pocyBjh8/zt69e9m2bVuGFuL4+voybNgwTp48Sbdu3Vi4cCH29vbZEKlEIslpImIfohYp3A/ai67CCB2FIQ4WX2FiYI8QgoKWlTA2sCUw8go+L3aDTIYQKgDUamWWJZSGhoYZLrwukWSXjCwj0ZEb4GRdE5VayfOw8590bn4iJZQ5THJyMh4eHtSvX5/u3bt/8NiUlBTmzZvH9OnTsbOz4+jRo7Ro0SKbIpVIJDmRMjVO83U99yno6ZgAaUN7AZEXKVWwEwDmRs40K7cAmUxORNxjbvtvQpkam2VxSUPekpxIV26KEPChGR5O1rXQVRjyPPwvlKq0vy+BGgM9i+wJMpeQEsocZv78+Tx9+pR9+/Z9cA7TP//8w+DBg7l//z6jR4/mp59+wtjYOBsjlUgkOZHsjW0Mrz9djb6uGUUKNMLBshIhMXc0w3s6CkNuPd9AAbNSOFnXpJRjJx6/PJplcRkYGEiLciQ5glqt5sKFC2zcuJH7fheYv2ooxvq2mpsvW7PSGOnZ8CLyH2TIcSlQDyHUPA09rbmGTKbA3ry8tl5CjiQllDmIv78/M2fOZOTIkZQuXfqdx0RHRzNhwgRWrlxJ5cqVuXbtGhUqVMjeQCUSSY5lrF9A83VUvK/m64ouX+NoVY3w2AcARMY9ITjmFvHKMJysa2Ksb4dxFm4TJ63ylmibr68vmzdvZtOmTTx9+hRXV1f69u1DYet6FLSqqDmuiG1jAF5E/oODRUUM9awIjr5FgjIMABlyClpU0iSgkjRSQpmDjB49GgsLC3766e09QoUQ7N69G09PT+Li4li0aBHDhw/P0LZpEokk/7A0Lkohy+pYmRYnKt4PGTIK26SV/4lNDCQo6iolHFphY1oSJ+ta2Ji6ARAe+wBn61pZFpc05C3RhpiYGHbt2sXGjRu5cOECpqamdO3alX79+lGrVi3kcjnB0bc0+2//V1D0NYJuXXvjERlyuS5F7ZplzwvIRaSEUgtUycko4+JQ6Omha2yMTC7nxIkT7Nmz550LcZ4/f863337LkSNHaN++PUuWLKFQoUJail4ikeRkMpkMGzN3jPVtsTcvj0wmJyklBt+QEzwOPopAzTW/FbgX7Egpx84oU+N4GnqGgPC/qes+Ocvikoa8JdklNTWVP//8k40bN7J//36USiVNmjRh27ZttGvXDiMjo3TH21tUoJRjF3wCd/F6G8V3k6OQ6VC5yFBMsrA3P7eSEspsolapCL58hScHDxJ+547mcT1zcwo3a8akX+dQr169dAtxUlNTWbx4MVOmTMHCwoJ9+/bRvn17LUQvkUhyEzvzslx6vJBXiS/eWRIlKt6Pi4/nAWn7EyMETsad022/mNmkIW9JVvP29mbTpk1s2bKF4OBgSpcuzfTp0+nVqxcFCxb84LkuBephqGfFo5eHiU0KRIYctVqNWq1GR0cHgRobUzdKFmyPmaFjNr2i3EVKKLNBfHAwf/84hbjAQGT/qQupjInh0R9/8H1hF+zatdUsxLl+/TqDBw/m5s2bjBgxgpkzZ2JmZqaN8CUSSS6jkOtRpehwrvouJyYxgPf1uMiQo5DD+gW3uPDnfk6fPk3JkiWzJCZpyFuSFcLCwti2bRsbN27k5s2bWFtb07NnT/r160fFihU/qUC/nXlZbM3KEJPwnKDo69y49Q8+Pg/o33sYhayqYaRvk4WvJPeT9vLOYgmhoZwZ9R3KV68Q6o8XTy3esyfrrl9j8eLFlC1bllWrVmXKProSiST/UamVPA//i+fh50hUvq4BmTakJ5MpKGhRCVfbRiS+0qFRo0aEhYVx6tQpypQpk+mxrFu3jq+//prU1FRp7rfkiyQnJ3P48GE2btyIl5cXMpmM1q1b069fP1q0aIGenl6mtLNo0SImTpxIfHx8plwvr5N6KLPYlTm/oozNWDIJ8HjbNk7fuM4vv/zCqFGj0NXVzeIIJRJJXqWQ61HEthGuBRoQEfeY+ORQ1CIVPYUxBcxKaVapmhnCmTNnaNKkCQ0aNODPP/+kfPnMLYliaJi253FycvJbc9gkko8RQnDlyhU2btzIjh07iIqKokqVKixcuJDu3btjbW398Yt8ImNjYxISElCr1dKucxkgJZRZKOrJE2IDAqg2cRIWxYqib25OcnQ0/qfP4LN5M0YFCtB8w/q3zrOZ+TN1x43TQsQSiSQvksnk2Ji6aVZ0v0uBAgU4ffo0TZs2pUGDBpw4cYLKlStnWgwGBgYAJCYmSgmlJMMCAgI0pX4ePnyIo6MjQ4YMoW/fvri7u2dp269rOyckJGBiIpUI+hgpocxCfkeOoGdqiqmzE8+OHSM5Jga3rl0p2b0bSVFRBF++DEDghQsEXvhbc17k1askRUZiYGWlrdAlEkk+ZGVlxZ9//kmLFi1o1KgRx48fp3r16ply7dcJpbQwR/IxcXFx7N27l02bNnH69GkMDQ3p2LEjS5cupUGDBtk2ZeJ1EhkfHy8llBkgJZRZKOz2HRJDQzk5ZCj8f8hbrqtL+SFDsChSRJNQvnruT/DVq6S+MWE98tEjCmbSG7lEIpFklIWFBSdOnKBly5Y0adIELy8vateu/cXXfT3kLSWUkndRq9WcPXuWTZs2sXv3buLj46lfvz7r1q2jU6dOb5XTyw6veyilOZQZIyWUWSg1MTH93EmZDPsqVQAIvXVL83DJHt1x79UTZVwcz44d4+76DemSS4lEIslOpqamHDt2jDZt2tCsWTMOHz5MgwYNvuiabw55SySvPXr0iE2bNrF582b8/f0pVqwY33//PX369MHFxUWrsb1OKOPi4rQaR24hJZRZSMfAAGVMDAByHR0qjRmNXcWKPDlwgBfnzqFnZsb9bduJ8fVFoa+Pe6+elOjcmbjAQHQMDLUcvUQiyc+MjY05fPgwHTp0oGXLlhw4cICmTZt+9vWkIW/Ja1FRUezcuZONGzdy6dIlzM3N6datG/369aNGjRqfVOonK7055C35OCmhzEI2ZcsSEB6OjoEB1X+cTIFy5bi/dSv3t24DQPnqFfe3bNEcb2BjTdmBAzF1caFZ717Ubd6c1q1b06BBA82bsUQikWQXIyMjDhw4QOfOnWnTpg179+6lVatWn3Utacg7f0tJSeH48eNs3LiRgwcPolKpaNasGTt37qRt27Y58jNOGvL+NFJCmYWKtGpJ4IUL1J37K+YuLgRfu0ZswAsK1a1Lckw0xg4FsS7lTuT9+8h0dCnapg0A0ZGRNGjVikOHDrF8+XKMjIxo0qQJbdq0oVWrVtjb22v5lUkkkvzCwMCAvXv30q1bNzp06MDOnTvp0KHDZ10HpCHv/ObWrVts3LiRbdu2ERoaSrly5Zg9ezY9e/bM8Z9l0pD3p5ESyixkWaIEBcqVw/z/80DsK1fG/v9lOMLu3OH+lq04N2yAQ7XqKPR0iQ8O5ubSZbjUq8viAQNYtGgRPj4+HDp0iMOHDzN48GDUajVVqlShTZs2tG7dmgoVKuSY4QGJRJI36enp8ccff9C7d2+6dOnCtm3b6Nq16yddQxryzj+Cg4PZunUrmzZt4s6dO9ja2tKrVy/69u1LhQoVtB1ehklD3p9G2ikni8W/fMnpUd+RGh+foeLmJXv2oFTv3u98Ljw8HC8vLw4dOsSxY8eIjY3F0dGR1q1b06ZNGxo2bKgZVpJIJJLMlpqaSv/+/dm+fTubNm2iV69eGT43JiYGCwsL/vjjD7p06ZKFUUq0ISkpiQMHDrBp0yaOHz+OQqGgXbt29O3bl2bNmuXKTTqEECgUClasWMHgwYO1HU6OJ/VQZjFjBwfqz5/H35N/JCE0FDXw33r7MrkcoVZTql9f3D5w129jY0OfPn3o06cPSqWSv/76i0OHDnHo0CFWrlyJoaEhjRs3pnXr1rRu3ZqCBQtm6WuTSCT5i46ODhs3bkRXV1fzPjRgwIAMnSvNocx7hBBcvHiRTZs2sXPnTmJiYqhRowZLly6lW7duWFpaajvELyKTyTA2NpaGvDNISiizgWmhQjRZvYpnp8+wZ8Z0ipmZa57TMTLCtUVzXFu0wOQTEkA9PT0aNWpEo0aN+O2333jw4AGHDx/m0KFDDBs2jCFDhlCpUiVN7+VXX30lbR0lkUi+mEKhYO3atejr6zNw4ECUSiVDhgz56Hm6urrIZDJpDmUe8OzZMzZt2sSmTZvw9fXF2dmZESNG0LdvX0qUKKHt8DKViYmJNOSdQVJCmU0Uurr4yWV8//ff3Lh4keLOzsj19TEwN0f+hUMBMpkMd3d33N3dGTduHJGRkZqh8YULFzJt2jQcHBw0PZeNGzeWtj6TSCSfTS6X8/vvv6Onp8fQoUNRKpV4eHh88ByZTIaBgYHUQ5lLxcbGsnv3bjZu3Mi5c+cwNjamc+fOrF69mnr16uXZDgtjY2MpocwgKaHMRseOHcPR0ZEK1atn6UIaKysrevXqRa9evUhJSeHChQua3svVq1djYGBAw4YNNQt7ChUqlGWxSCSSvEkmk7Fo0SL09PTw9PREqVQyZsyYD55jaGgoJZS5iEql4vTp02zcuJG9e/eSlJREw4YN2bRpEx07dtSsgs7LpCHvjJMSymzk5eVF8+bNs3VVtq6uLg0aNKBBgwbMnz+fR48eaVaNjxgxgmHDhlGhQgVNclm5cuU8e6cpkUgyl0wmY+7cuejr6zN27FiSk5OZOHHie483MDCQhrxzgfv377Nx40a2bNlCYGAgbm5u/Pjjj/Tu3RsnJydth5etpB7KjJMSymzy/Plz7t+/z4wZM7QaR4kSJRgzZgxjxowhKiqKY8eOcfjwYZYuXcqMGTOws7OjVatWtGnThiZNmuSLO1CJRPL5ZDIZM2fORF9fn0mTJqFUKvnpp5/eeeMsDXnnXBEREZrV+1evXsXS0pIePXrQt29fqlatmm/L00lzKDNOSiiziZeXFzo6OjRu3FjboWi8fsPo0aMHqampXLx4UdN7uW7dOvT19WnQoIGm99LZ2VnbIUskkhxIJpMxZcoU9PT0mDBhAkqlkp9//hmZTIYQgpiE5wRE/oPH1GrY2MRx6/kGHCwqYWtWGplMGhHJKCEEEXGPiI5/Sqo6GR25PpbGRbAyKf5ZCZ9SqeTo0aNs3LiRI0eOIISgZcuW7N69m9atW6Ovr58FryJ3kXooM06qQ5lN2rVrR3R0NOfOndN2KBny5MkTTXJ5/vx5UlNTKVeunGbVeJUqVVAoFNoOUyKR5DALFixgzJgxjB49molTh+ITuJvYpEBkyBG8rsUrB9To65jj5tCGQtbVtRlyjieEGv+ICzwNPU2CMhwZckAGCARqjPQLUKRAI5ysa340QRdCcP36dTZu3Mj27duJiIjgq6++ol+/fvTo0QNbW9tseU25Re/evQkICMg1n93aJCWU2SA5ORlra2smT57MDz/8oO1wPll0dDQnTpzg0KFDHD16lMjISAoUKJBuaNzU1FTbYUokkhxi6dKlbNu7gInzWiKXpyU+H1LMrgUlHD5vj/C8Ti1U3Hq2nuCYWx891sGiIuUL90Mue/tmPzAwkK1bt7Jx40Z8fHywt7end+/e9O3bl7Jly2ZB5HnD0KFDuXbtGteuXdN2KDmeNOSdDS5cuEB8fDzNmzfXdiifxcLCgq5du9K1a1dUKhX//POPZtX4hg0b0NPTo379+preS5f/bzUpkUjypz4D2+Fa8wHiI4nka09CvDDSt6aQldRT+V93A7YTHHM7Q8e+jL6BjsKQsk49AEhISGD//v1s3LiRP//8Ez09Pdq3b8/8+fNp3LgxOjpSCvAx0pB3xkk9lNlg7NixbNu2jcDAwDw3sdnPz0+TXJ47d46UlBRKly5NmzZtaNOmDdWqVZOGxiWSfOb60zWExtx5Y4gbqhX1xMywEAq5HsmpsYTE3OFB0D7UIhUAA10LGpSaLs2pfENMgj8vo2/gZFUTI30bZDI5l54sIjLuMYZ6VjQoNf2tc054j0M3pg5b1h9g165dxMbGUrt2bfr160eXLl0wNzd/R0uS95kyZQrr168nICBA26HkeNLtSTbQRrmg7FKkSBE8PT3x9PTk1atXnDhxgsOHD7NmzRp++eUXbGxsaNmyJa1bt6ZZs2aYmZlpO2SJRJKFklKiCYm5zX+HuV8lviAo6hoCQRHbRrgUqEd8cgjPw89rzgt75YOteRktRJ0zPQ//C0NdS0Jf3cXOojxGetZvHfMy+ibB0bc03yuViRw4Op8zZwIYPXo0ffr0oWjRotkYdd4irfLOOCmhzGL+/v74+PgwdepUbYeS5czMzOjcuTOdO3dGpVJx+fJlTe/lpk2b0NXVpW7duppV49KbnESS9wRHv3t49n7QXnQVRugoDHGw+AoTA3veHCCTIedl9A0pofw/lTqFoKirmh5cC2PXdyaUcUkvCX11F5U6GQC5Alp1qcCiGX+io/iyXdgk0pD3p5ASyizm5eWFQqGgSZMm2g4lWykUCmrWrEnNmjWZNWsWz5494/Dhwxw+fJjx48czatQo3N3dNclljRo1pPk8EkkeoEyN/f+KbtVbz9Vzn4KejgkAgZFXCIi8qHlOoObchRMM6rwESCtF9HpU53O+zoxraLNNI1M5bQZ9vA5wMbvmFLdvSYoqAf/wv3n48iDIVKjUiVJCmQmMjY1RKpWkpKSg+4XbJOd10id4Fjt27Bg1atTAwsJC26FolYuLCyNGjGDEiBHExsby559/ahb1/Prrr1hZWdGiRQvatGlDs2bN8v3PSyLJrdLmQL57av71p6vR1zWjSIFGOFhWIiTmjmb1shACExMzKlWqhBBC03uZ075Wq9XZ0paZpS5Q+r0/Z5VKyeNgL14lBqCQ61HcviVF7ZoQnxzKi8h/EEL93nMlGWdiknYDFB8fL30ufYSUUGYhpVLJn3/+yYQJE7QdSo5iampKhw4d6NChA2q1mqtXr2pqXm7duhUdHR3q1KmjWTVevHhxbYcskUgyyFDPOt1inDdFxftqvq7o8jWOVtU0CaVcpqBapdoMbNc1O8LM8VJVyZzwHsv7knOlKo7HwUc03xvoWlCyYHvMDB2RIUdXR9rlLDO83i1OSig/Tkoos9Dff/9NXFwcLVq00HYoOZZcLqdatWpUq1aNmTNn4u/vz5EjRzh06BATJ05kzJgxuLm5aZLLWrVqSUPjEkkOZm9egXvynajUSs1jNqbuFLSsTFS8HzJkFLapB0BsYqDmGIGaQlY1sj3enEpHoY+tWWlSVckY6dtopgrYmpXGSC9txbelcRGi4v2Qy3Q0P9PIeD/szMuhkEvDs5nhdUIZFxen5UhyPqk+Qxby8vLC3t6eChUqaDuUXMPZ2Zlhw4Zx9OhRIiIi2L9/P7Vr12br1q3Ur1+fAgUK0LNnT7Zt20ZUVJS2w5VIJP+ho9CnkFWN/+/mkiYlNR5Tg4K4F+yAu2NH5HIdfENO8Dj46P+PkGFu6Iy5kZN2gs6hCtvUo5B1Nco598JYvwAARWwbU865F/FJIRjpWVPSoR0lC7YjVZXE3YAdBEff4J9TL0lJSdFy9HnDm0Pekg+T6lBmobJly1K5cmXWr1+v7VByPbVazfXr1zWrxm/evIlCoaB27dqa3ssSJUrkydJMEkluk5QSw98P56BMjXvv8PebZDIF1YuNxNK4SDZEl3uEhYWy9/x4ChY2QqGTkf4fGZEvBf1a/07JkiX5/fffqVu3bpbHmZc9fPiQkiVLcv78eerUqaPtcHI0qYcyiwQEBHD37l1puDuTyOVyqlSpwrRp07hx4wYBAQEsW7YMExMTfvzxR0qWLEmJEiUYPXo0p0+flu7OJRItMtA1p1oxT/R0TNL1VP6XSqUmRammnGN/KZn8Dx8fH6pVq86c7/9EV25J2t7dHyLD1KAg3Zr8yvXr1zE3N6devXr07duXkJCQ7Ag5T5KGvDNOSiizyLFjx5DL5fmuXFB2KVSoEEOGDOHw4cNERERw8OBBGjZsyM6dO2nUqBE2NjZ069aNLVu2EBERoe1wJZJ8x8TAntpuP1C4QD0Ucn0grdbk6wRThhxjeTHG9t/L0vl/aDPUHOd1dRBjY2POnPqbxuV/xMmqBjKZgrTE8nVyKUMIQWqKGifrWtQoPhpdHSMqVKjAhQsXWLNmDUePHsXNzY3ly5ejUr1dyknyYdKQd8ZJQ95ZpGPHjoSGhnLhwgVth5KvCCG4efOmZtX4tWvXkMvl1KxZU1Pz0t3dXRoal0iyUaoqmZCYOyQqIxCo0dcxw868PPq6psyaNYsff/yR8+fPU6tWLW2HqnVLly5l5MiRtGjRgu3bt2Nqaqp5TpkaT2DkZaLin5KqTkRHbojv/UgGdJvM7Vs+79wsIiIiggkTJrB69WoqVarE8uXLqVq1ana+pFwtJSUFPT09NmzYQL9+/bQdTs4mJJkuOTlZmJqaihkzZmg7lHwvMDBQrFq1SrRt21YYGhoKQBQpUkR4enqKkydPiuTkZG2HKJHkaykpKaJGjRqiSJEiIjY2VtvhaI1SqRTDhw8XgBg9erRITU3N0Hnx8fHC3NxcTJw48YPH/fPPP6JChQpCJpOJoUOHioiIiMwIO1/Q1dUVS5cu1XYYOZ405J0FLl68SGxsrDR/MgcoWLAg33zzDQcOHCAiIoIjR47QtGlT9u7dS5MmTbCxsaFLly5s2rSJsLCwLItDrVKl22ZOIpGk0dHRYdOmTQQHBzNmzBhth6MV0dHRtGzZklWrVrFq1Srmz5+PQqHI0LlGRkb06tWL9evXk5qa+t7jqlevztWrV1m0aBHbtm3Dzc2NDRs2oFZLBdA/RtrPO2OkIe8s8P3337NhwwZevnyJXC7l7DmREILbt29rVo1fuXIFmUxGjRo1NKvGS5cu/dlD40IIIn3u43v4MC8vX0aVlARyGaaOhSjSuhXODRuiaywVHpZIXluxYgXDhg3j8OHDtGrVStvhZJsnT57Qpk0bQkJC2LNnDw0aNPjka9y8eZOKFSty8OBB2rRp89HjX758ybhx49i6dSu1a9dm+fLllC1b9nPCzxecnJwYOHAg06ZN03YoOZqUUGaBcuXK8dVXX7Fx40ZthyLJoODgYI4ePcqhQ4c4efIk8fHxuLi4aJLLevXqoa+vn6FrJUVHc2nGTCLv30emUCDeMRFerqdHxZGeOH/Gh4dEkhcJIWjVqhU3btzg7t272NjYaDukLHfu3Dk6duyIjY0Nhw8f/qJdwSpVqkShQoU4cOBAhs85c+YMw4cP5/Hjx4wcOZKpU6emm7MpSVOyZElatWrF/PnztR1KjiZ1n2WywMBAvL29peHuXMbe3p6BAweyb98+wsPD8fLyolWrVhw8eJBmzZphY2NDp06dWL9+PaGhoe+9TnJMDOdGjyHq4UOAdyaTAGqlkmtz5/H02LEseT0SSW4jk8lYu3YtKSkpDB06NM9PEVm3bh1NmjShQoUKXLp06Yu3mB00aBBHjhwhKCgow+c0aNCA27dv8/PPP7NixQpKlizJH3/8ked/9p/K2NhYGvLOACmhzGSvywU1bdpU26FIPpOBgQHNmzdn6dKlPHv2jNu3bzNhwgSCgoL4+uuvsbe3p3r16vz888/cvn073Zvv1bnzSAgNRWRwXtLNJUuJ9vX9+IESST7g4ODAihUr2LNnD1u3btV2OFlCpVIxbtw4vv76awYOHMixY8ewtLT84uv27NkTPT29Tx4Z09PT4/vvv8fHx4eqVavSrVs3mjVrxqNHj744prxCmkOZMdKQdybr3LkzQUFBXLx4UduhSLJAaGioZmj8xIkTxMXF4ezsTOvWrWlZsyaFk5UUbtYUEwcHZHI557//gXBvbyzd3CgzoD9mhQujY2BA3MuXPPzjDwL/uoBTwwZU/u47bb80iSTH6N27N4cPH8bb2xsnp7yzHWNcXBw9e/bkyJEjLFiwAE9Pz0wtYda/f38uXLjAo0ePPnv+/uHDh/Hw8CAoKIjx48czceJEDA0NMy3G3Khly5YYGBiwd+9ebYeSo0k9lJkoJSWFkydPSsPdeZitrS39+/dnz549hIeHc/z4cdq1a8fRo0fZ+/MsZLo6BF+5QsJ/VoybFioEAh7s2Mn97dsxcXSkypgxmDk78+LMWZSxsVp6RRJJzrN06VJMTU3p379/nlmF7O/vT61atTh79iyHDx9m5MiRmV4Pd9CgQfj6+nLu3LnPvkbr1q3x8fHh+++/59dff6V06dIcOXIkE6PMfYyNjaWdcjJASigz0T///MOrV6+khDKf0NfXp2nTpixevBg/Pz/aV67Mw+078F69huSoqHTHvjh3jr8mTMD3wAEe/bGLkKtXkSkUmLm6oE5NJcLHR0uvIuOEWk3wtWvc37YN77XreLBjBxH3fKT5VpJMZ2Fhwfr16zl9+jRLlizRdjhf7NKlS1StWpVXr15x8eLFLPuMqFWrFm5ubqxZs+aLrmNoaMj06dPx9vamWLFitG7dmg4dOvD8+fNMijR3kYa8M0ZKKDORl5cXtra2VKxYUduhSLKZTCZDnvr+/cPVb9SH0zc3x6pkSVRKJRH30hLJl8+ff7CGnDapVSoe793LsQEDuDjlJx5s38GTAwe4v2Ur58aN48+hw3h24qSUWEoyVePGjfHw8OCHH37g/v372g7ns+3YsYP69etTrFgxLl++TJkyZbKsLZlMxqBBg9izZw+RkZFffL0SJUpw/Phx/vjjD65cuYK7uzu//PILSqUyE6LNPaRFORkjJZSZyMvLi2bNmkm1J/Mphd7HywoZWltTe/Ys9MzMuDZ/PgkhIQAM8/RET08PGxsbKlasSM+ePZk2bRobN27k/Pnz+Pv7ayXhVCUnc/GnqXivXUdiWDiQtnJdpKZqFh7FvnjBjYULubFocYYXI0kkGfHLL79QuHBh+vTpQ0rK+2/YciIhBD/99BM9evSga9eunDp1Cltb2yxvt2/fvqhUKrZs2ZIp15PJZHTp0oUHDx4wbNgwJk+eTPny5Tlz5kymXD83kIa8M0ZH2wHkFUFBQdy+fZvvv/9e26FItMTIxYX40FDeNyvKzKUwNadNQ8/UlEszZhJ89SoAArB1d8deLic4OJiIiAhu3ryJXC5PN39MoVDg5OSEq6srLi4ub/1zdHTM8O4aGSGE4OrcuYTeugUf6n38/3PPT5xAz9SEsl9/nWkxSPI3IyMjNm/eTI0aNZg5c2auKSydmJhI//79+eOPP/j555+ZMGFCps+XfB9bW1vatWvH6tWr8fDwyLR2TU1NmT9/Pv3792fYsGE0bNiQnj17Mm/ePBwcHDKljZxKGvLOGGmVdyZZt24dgwYNIiwsDGtra22HI8lGV65cYcmSJdw5cYLF/fph6uhIia5dMXFw4NHuPcQFviDq8RPq/DIbPRMTHu/bR9TDtJIcrwL8MbS2odb0tA9KpVLJo0eP8Pb25u7du9y6dYvbt28TGBioac/ExARdXV2USmW6NzkdHR2cnZ3fmWy6uLhQsGDBT0o4w27fBmSYFymCjoE+yTExBF38B+81azRD+LrGxjRathQjW1siHzzg7OgxNFu3FmN7+0z4yUokaaZNm8aMGTO4ePEiVatW1XY4H/Ty5Uvat2+Pt7c3mzdvplOnTtkew7Fjx2jRogWXL1/Okp+XWq1m06ZNjBs3DqVSyYwZMxg+fDg6Onmzj2rBggVMnTqVV69eaTuUHE1KKDNJly5dCAgI4NKlS9oORZINlEolu3btYsmSJVy+fBkXFxdGfPst3WvUxLFWzbeOv7bgNyqPfrs00P2tW7Es4YZ9lcofbC8uLg4fHx9Nonn37l28vb0J+f+QuY6ODnZ2dpibm6Ojo0NSUhKRkZGEh4drrvHfhPO/PZ0ODg7pEs5LP/+MTekyvHr+HBAU69ARM2cnbi1fjt/htFWfVSf8gF2lSugaGRH54AHnxo6jeMcOlBk48HN+rBLJO6WkpFCrVi1iYmK4efMmRkZG2g7pnW7dukWbNm1Qq9UcPHiQSpUqaSUOlUqFq6srzZs3Z9WqVVnWTmRkJJMmTWLlypWUL1+e33//nerVq2dZe9qycuVKhg0bhkqlyrae5twob95OZLPU1FROnjzJd1ItwTzv5cuXrFy5khUrVhASEkLjxo05cOAArVq1QqFQEPP0GQc6diIlKemtCcr+f/751vVcW7XCrvLHP3RMTEyoWrXqW70NYWFh3Lt3L12ieffuXc2dtImJCUWLFsXe3h4zMzPkcjmJiYl4e3tz6NAhwt4ob6Srq6tJOIs5O9MkOISgvy+ia2KCrokJjrVqY+bslDZGDxRu0hj7KlW4u3YdFb4dDqStBH967LiUUEoyla6uLps3b6ZChQqMHz+epUuXajuktxw4cIBevXpRsmRJDhw4gKOjo9ZiUSgUDBw4kPnz57NgwQJMTEyypB0rKyt+//13Bg4cyLBhw6hRowaDBg3il19+yVMjdSYmJgghSEpKyvc1OT9ESigzwaVLl4iJiZHKBeVRQgguX77M4sWL2bVrF/r6+vTt25cRI0ZQqlSpdMeau7ogWrYgbsdOTPX03jmfUqVWo5DLKdq2LeW+GfRFd7wFChSgfv361K9fP128AQEBml7M10nmmTNnNKsz7ezsKFeuHG5ubtjb22s+cIKCgnj27BnPfXyQWaV9IDRdvQp9c3MA/E+f4enx4xg7OFBuyBC816wlNiAgXUwpcXGokpNRZHDvc4kkI9zc3Pj111/x9PSkbdu2OWY3MiEEc+fO5YcffqBjx45s2rQpR/SgDhgwgOnTp/PHH38wMItv8KpUqcLly5dZuXIlEydOZN++fcyZM4cBAwbkiUWqxsbGAMTHx0sJ5QdIQ96ZYNKkSaxatYqQkJA88ccjSZOcnMzOnTtZsmQJ165do2jRoowYMYL+/ftjYWHxznNevnxJ2bJlaVCzJrMGDMT34EHNSm4AmUJBuJkZS06d4s87t7Nl1edrqampPHny5K1E88mTJ5rFP66urpQpU4YqRYtS+v/zPK3LlMbA0pLiHTtiUawYV375haKt2yDX0+XavPlYublRZfw4on19uTTzZxJCQmizexe6OeBDVZK3qNVqmjVrppn+YWVlpdV4lEolQ4YMYcOGDUyaNInp06fnqM+A5s2ba2pfZpeQkBDGjx/Ppk2bqFGjBsuXL6dChQrZ1n5WOHnyJE2bNuXp06e4uLhoO5wcS0ooM0HFihUpVapUppVpkGhXYGAgK1asYOXKlYSFhdGsWTM8PDxo0aLFBz8s1Go1LVq04M6dO9y5c4cCBQog1GriAgNRxsYi19PD2M6OuJQUXF1dGTRoEPPnz8/GV/ZuiYmJ3L9/P12i+fzBA2a6p+99daxTm2oTJvDy8mXMXFwwtrN761rKuDj2dOrMjAB/qlevTo0aNahRowalSpXKUR+0ktzrxYsXlC1blhYtWrBt2zatxREeHk7Hjh25fPkya9eupXfv3lqL5X12795Nly5duHv3LqVLl87Wts+dO8fw4cN58OABHh4eTJ8+HTMzs2yNIbP8888/1KxZUys/x9xESii/UHBwMA4ODmzZsoVevXppOxzJZxJCcPHiRRYvXszevXsxMDCgf//+jBgxAjc3twxdY9GiRYwaNYpjx47RrFmzDx47depU5syZg6+vLwULFsyMl5Dpbq5ahVXRYkT63AOZjKJt2mBWuHDaDjk+Pij0DQAwK+xMqd69iQ0M5O7adTwPCeGcWsU///yDt7c3arUaMzMzqlatqkkwq1evjqWlpZZfoSS32rZtG7169WLHjh1069Yt29v38fGhTZs2xMbGsn//fmrWfHshXk6gVCpxdHSkT58+LFiwINvbT0lJYdGiRUydOhUzMzMWLFhAt27dct3Cljt37lC+fPksWzWfV0gJ5RfasGEDAwcOJDQ0FBsbG22HI/lESUlJbN++nSVLlnDz5k2KFy+Oh4cH/fr1+6S7aW9vb6pUqcLQoUNZuHDhR4+PiYnB1dWVXr165dit5UJv3ULP1BRjBwfkCgWJEREEXriAz+YtCJVKc5xN2bLUnfOLpmzQzLvemBUpQpkyZShWrBgKhYLQ0FBu3brFpUuXNCvPS5Ys+VYvZmbW0fyYhLAw4l++RJ2aip6ZGRZFiiCTelFzBSEE3bt35+TJk3h7e2frApjjx4/TtWtXnJ2dOXToUI4fAh07diwbNmwgMDAQfS3Naw4ICOC7775jz549NGzYkGXLllGyZEmtxPI5fH19KVasGKdOnaJhw4baDifHkhLKL9StWzeePXvG5cuXtR2K5BMEBATw+++/s2rVKiIiImjZsiUeHh40bdr0k4dmk5KSqFKlCgBXr17FwMAgQ+fNmjWLadOm8fjxY5ydnT/5NWQ1dWoqZ0Z9x6tnzzK2A45MBoWd8SlYUDN0/vDhQ1T/Tz4LFSpEmTJlKFSoEHK5nKioKB4+fMjdu3dRq9WYmppSrVo1TZJZvXr1TJ8jJ9Rqgq9exffQIUJv3Ez3nGGBAhRt0waXZk3RMzXN1HYlmS8iIoKyZctSrlw5vLy8sqXXa+nSpYwaNYpmzZqxffv2XDGEe//+fUqVKsXOnTvp2rWrVmM5duwYI0aMwN/fn3HjxjFp0qQcsYDpY0JCQrC3t+fgwYO0adNG2+HkWFJC+QVSU1MpUKAAI0eOZOrUqdoOR/IRQgj++usvFi9ezP79+zE2NmbAgAF8++23FC9e/LOvO2rUKFasWMHVq1cpW7Zshs+Li4vD1dWVjh07snLlys9uPyslRUZybvz3JAQHfzCpVAvBs4QEum1Yj5Orq+bx5ORkTdL45hzNZ8+eASCXyylSpAgFCxZER0eHmJgY/Pz8iIqKAtJW9r7Zi1m6dOnP7sVUJSdz5de5vPznH2Ry+btfj0yGnpkZtWfOwKJo0c9qR5J9vLy8aNmyJcuWLWP48OFZ1k5qaiojR45k+fLljBo1innz5mVrb/qXql27NkZGRpw4cULboZCUlMScOXOYPXs29vb2LF68mLZt22o7rA+Ki4vD1NSU7du30717d22Hk2NJCeUX+Pvvv6lduzaXLl2iWrVq2g5H8h4JCQls27YtbTebO3coWbIkI0aMoG/fvph+YU/U8ePHad68OQsXLmTkyJGffP68efOYMGECDx8+pEiRIl8US1ZRxsZyZ/VqAs6eRaj+n4QJkdYjKQQKfX0K1K1Dr99+w6pAAc6fP68ps/E+sbGx3Lt3L13tTG9vb0JDQwHQ09PD3t4eAwMD4uLiCA4O1vRiVq1aNV0vZkbq3QmVin+mzyD42rUPbyMJyORyFAYGNFj4G6aFCmXshyTRmmHDhrFx40Zu3bpFiRIlMv360dHRdOvWjdOnT7Ns2TIGDx6c6W1ktY0bN9K/f3/8/PxwfeOGT5t8fX0ZMWIEx44do02bNixatCjHxPZfarUahULB6tWrGTRokLbDybGkhPILTJ48WVPgOjfdreYXz58/Z/ny5axZs4aoqChat26Nh4cHjRs3zpThsbCwMMqVK0f58uU5evToZ61iTkhIoGjRojRv3pz169d/cUxZKTkmhucn/yTq0UNSExLRNTHBpmxZnBrUR9fIiNu3b1O7dm0aNmzI3r17P+tvIjQ0NF2h9tf/jYuLA0BfXx8jIyMSExNJSkoCoGjRotSuXVuTZJYpU+attp8dP86NRYvTPdZs/bq3Vqr/M2MGL/+5hEwux7JECeov0P4qfMmHxcfHU6FCBaytrblw4UKmbv/n6+tL69atCQ4O1sz/y43i4+MpWLAgI0eOZPr06doOR0MIwb59+xg5ciTh4eFMnjyZsWPHam2u54cYGxsza9asz+o4yC+khPILVKpUiZIlS7J161ZthyL5PyEEZ8+eZfHixRw8eBBTU1O+/vprvv3220ztARRC0L59ey5evMidO3dwcHD47GstXryY7777jvv372dJD0t2Onr0KG3atGHkyJGZtqpUCIG/v3+62pl37tzhwYMHpKSkAGnbSqpUKoQQ6Ovrp9UCbdCAunXrUq1aNW5P+YlX/v7peiebrV+HKjmZB9u2ax4Lv3ePpIgIzfcNly7BIof2HEv+denSJWrVqsW0adOYPHlyplzz/PnzdOzYESsrKw4fPpzr/zaHDRvGoUOHeP78eY7rAImLi2PGjBksWLCAIkWKsGzZMho3bqztsNKxtbVl1KhRTJw4Uduh5FhSQvmZXpcL2rx5c46sP5bfxMfHs2XLFpYuXcrdu3cpVaoUHh4e9O7dO0u2HVu5ciVDhw7lwIEDXzz/JykpieLFi1O3bt08cXOybNkyRowYkeXz2lJSUnjy5Ikm0bx16xY3btwgMDAw3XHFzM2ZU7PWW+c3W7+OhJAQ/pk2ndTExLeelynkuDRrzlcjvs2y1yDJPJMnT2bOnDlcunTpi/fQXr9+PUOGDKFOnTrs2rVL6wXUM8P169epXLkyR44coWXLltoO553u3bvHt99+y7lz5+jWrRsLFizIMWXVXF1d6dGjB7NmzdJ2KDmWlFB+pk2bNtGvXz9CQkKydbcTSXpPnz5l2bJlrF27llevXtG2bVs8PDxo0KBBlq36fPDgARUrVqRv376sWLEiU665YsUKhg8fjre3d54onDtq1CiWLFnC4cOHs31L0oSEBO7fv4+3tzcXLlxAde8erS0s3/p9aLZ+HUYFCiCTy1EplQRfvcbNJUtQ/n8fdADLEiVosPC3bI1f8nmUSiXVq1cnKSmJ69evf9YWeSqVigkTJjB37lwGDx7M0qVL0dXVzYJos58QgooVK+Lq6srevXu1Hc57CSHYunUrY8aMITExkWnTpuHh4ZGpUxk+R9myZWnYsCGLFi3Sahw5mZRQfqYePXrw5MkTrl69qu1Q8h0hBKdOnWLx4sUcPnwYCwsLBg0axPDhw7O8JpxSqaRGjRrEx8dz/fr1jy4++ZTrurm5UblyZXbt2pUp19QmlUpFhw4dOHPmDH///TflypXTWixP9u/nzuo1by3GKdmjB3FBQaiSkijSuhV2lSrhf/oM1+bN0xxj6uxMkxW/Z3fIks907949KlWqxLBhw/jtt0+7EYiLi6NXr14cPnyY+fPnM3LkyFxXgPtjli1bxqhRowgICMDe3l7b4XxQdHQ0kydPZvny5ZQtW5bly5dTq9bbIw3ZpXr16pQpU4Y1a9ZoLYacTqri+xlUKhUnTpzI9p6X/C4uLo7ly5dTunRpmjRpwrNnz1i5ciUvXrzg119/zZYCw1OmTOHOnTts3bo105JJSFvV/OOPP7J7925u3bqVadfVFoVCwbZt2yhevDitWrUiKChIa7Hompi8c2X3g+3beXHuHC8vX8Znc9q2qeauLumOkepR5i6lS5dm1qxZLFy4kNOnTxOfHMr9wL38/Wgu5+/P5OKj+Tx6eZhEZVS68/z9/alduzZnzpzh4MGDjBo1Ks8lkwA9e/ZER0eHjRs3ajuUj7KwsGDp0qVcvXoVfX19ateuzcCBAwkLC9NKPMbGxsTHx2ul7dxC6qH8DK/39bx48SI1atTQdjh53pMnT1i2bBnr168nNjaWDh064OHhQd26dbP1Tf/s2bM0bNiQ2bNn8/3332f69VNTU3F3d6dUqVIcOHAg06+vDYGBgVSrVg07O7sMlRPKCgnh4Rzr1z9dUmnm4kLZQV8Tcu06KfHxuDRrinWpUvgdPsKt5cvTDpLJKN2vL25aLgYt+TRqtZq2HZpRr50lpSvaIkOO4M2ao2nvGfbm5Snr1JMb171p164dBgYGHD58mDJlymgn8GzSp08fLl26xKNHj3JN0qxSqVizZg0TJkwA4JdffmHQoEGfVVnjc7Vt2xYhBIcOHcq2NnMbqYfyM3h5eWFlZSXt6ZmF1Go1x48fp1WrVpQoUYLNmzczbNgwnj59yu7du6lXr162vhlGRUXRp08f6tWrx9ixY7OkDR0dHX766ScOHjyYZ6ZSODo6cvjwYR4+fEivXr00u+ZkJyMbGxyqVUu3raIyJga1MoUSnTtTYcS3GNrY8HjffrzXrtUcI5PLcfnInuySnCcpJQrP6RUpWS5tK9z0yWTaIyAIibnDsetTaNu+OUWLFuXKlSt5PpkEGDRoEE+ePOH8+fPaDiXDFAoFQ4YM4eHDh7Rv354hQ4ZQs2ZNbty4kW0xmJiYSD2UHyH1UH6GKlWqUKxYMbZv3/7xgyWfJDY2lo0bN7JkyRIePXpEhQoV8PDwoEePHp81yT4zCCHo1q0bJ0+e5M6dOzg5OWVZWyqVirJly1K4cGG8vLyyrJ3sduTIEdq2bcuoUaOYPz/7azuG37vH+XHjM36CTIZL06ZUHOmZdUFJMp1KncJfD2eRmBzxjkTyHcenqokMUdO14W9ae3/JbkIISpQoQfXq1dm8ebO2w/ksFy5cYPjw4dy7d4/hw4czY8YMLCwssrTNb775hjt37kjbLH+A1EP5iUJDQ7l27Zo0fzKTPXr0CE9PTxwdHRk1ahQVKlTgr7/+4saNGwwcOFCrb/abNm1i165drFy5MkuTSUi7E586dSrHjh3j4sWLWdpWdmrVqhWLFi1iwYIF/P579i9ysSldmnJDhmTs4P8XNS8/NIPHS3KMkJjbJCSHvZVMuhZoRD33KTQvt5BGpWfh5pBW6kuhI6eAow4JqQHaCFcrZDIZgwYNYvfu3ZotTnOb2rVrc/36debNm8eGDRs09aCzsn/M2NhYs8GC5N2khPITHT9+HIBm0lDYF1Or1Rw9epQWLVrg5ubGjh078PT05NmzZ+zcuZPatWtrfY7P6+3B+vXrR9dsmkvXuXNnypUrx48//pgt7WWXESNG4OnpyYgRI7TS+1qsXVsqjhqF4j27cKj+v7e3Y40a1Jk9673HSXKuZ2HneD1H8rUS9m1wd+xASmoC9wJ34Rt6ErX4d+qFDDnPwnPP8G9m6NevHykpKWzbtk3boXw2XV1dvvvuOx48eEC9evXo3bs3DRs2xMfHJ0vak4a8P05KKD+Rl5cXlSpVwu4/W7ZJMi4mJoZFixbh5uZGq1atCAsLY8OGDfj7+zNz5kwK5ZD9k1NTU+nduze2trYsXrz44ydkErlczrRp0zh9+jRnz57Ntnazw4IFC2jVqhVdu3blzp072d6+S9MmtNy6hQrffovMxpqk1FRkCgX6FhZciIrkLztbqk2aiI6BQbbHJvkyySmxRCc8JW2OZBq5TBdX2wakqpK44reMwMgrPAs7w+PgI5pjBGpCY+6kSzLzOnt7e9q0acPq1auztFcvOzg6OrJz505OnDhBYGAg5cuX54cffsj05E9a5f1xUkL5CVQqFcePH5eGuz/T/fv3+fbbb3F0dGTs2LFUrlyZixcvcvXqVfr164dBDvsQnzlzJlevXmXLli2YmZlla9vt2rWjUqVK/Pjjj7n+Df9Nb5YTat26NS9fvsz2GHSNjCjSqiVR9evT6+QJWu3ZTattWzFr2pR1e/eS+I5dcyQ5n1L19nCkqYEDCrkeapFKHbeJNC//Gw1KzcDOvHy64wRqUlVJ2RVqjjBo0CBu376drQtbslKTJk3w9vbmp59+YtGiRbi7u7Nv375Me/+Uhrw/TkooP8HVq1eJjIyUEspPoFKpOHToEE2bNqVUqVLs2bOHMWPG8Pz5c7Zv306NGjW0Pqz9LhcvXmTGjBn8+OOPWikNJZPJmD59OhcuXODkyZPZ3n5WMjEx4dChQ6jVatq0aaO1u/7AwEBsbW3R09MD0oYBX716xf79+7USj+TLyGVv70/9ei6lno4JLyL/4fbzTejpmFChcH90Fcb/OV+7O7Fkt2bNmuHo6JinCnXr6+szefJkfHx8KFeuHB07dqR169b4+fl98bVNTExISkrSSqWK3EJKKD+Bl5cXlpaWVKtWTduh5HjR0dEsWLCAEiVK0LZtW2JiYti8eTPPnz9n2rRpOWZ/1nd59eoVvXv3plq1akyaNElrcbRo0YLq1avnuV5K+Lec0IMHD7RWTujFixfpplcUK1aM2rVr54qiz5K3GehavJUUJigjECItqfQNOUFg1BXik0NQyHUx1LPUHKerMEYh18vWeLVNR0eHAQMGsG3btjw3lOvq6sqhQ4fYv38/d+/epVSpUkyfPp2kpM/vhX5dQzchISGzwsxzpITyExw7doymTZuiULx9JyxJc+/ePYYOHYqjoyM//PADNWrU4NKlS1y+fJnevXujnwsWOnh4eBAeHs6WLVu0un+sTCZjxowZXLlyhSNHjnz8hFymQoUK7Ny5k0OHDjF+/CeU9MkkgYGBODo6pnusX79+nDx5ksDAwGyPR/JlFHI9ClpWQfbGx1qqKpHAqLSariULtse1QENMDBxIUkYTlxQMpNW7L2RZM0eOlGS1gQMH8urVK3bv3q3tUDKdTCajXbt2+Pj4MHr0aGbOnEnZsmU1C2s/1euEUhr2fj8pocygsLAwrl69SvPmzbUdSo6jUqnYv38/jRo1okyZMhw8eJDvv/8ef39/tmzZkqt6dHfu3MmmTZtYunQpRYoU0XY4NGrUiLp16zJlypQ810sJaeWEFi5cqJVyQu9KKLt06YK+vj5btmzJ1lgkmaOwTd23Sgb5vNjFi8jLOFpVpZh9CyJiH3HVbzlqkQqk1WUc2O0nTpw4oY2QtcrV1ZUmTZrkqWHv/zI2NmbWrFncuXMHZ2dnmjdvTpcuXXjx4sUnXcfExAQgz/XmZiYpocygEydOIISQEso3REZGMnfuXIoWLUqHDh1ITExk27ZtPHv2jClTpmBvb6/tED+Jv78/Q4cOpVu3bvTp00fb4QD/9lLevHmTffv2aTucLOHh4YGnpyceHh4cO3Ys29r975A3gLm5OR06dGDDhg15MoHP68yNnHC2rpvu/12qOok7/ps56T2ek97juOq3jNikf/eWt5BXQU/HnGbNmtG+fftMmW+XmwwaNIgLFy7w4MEDbYeSpUqWLMmff/7Jtm3buHDhAiVLlmT+/PmkpKRk6PzXPZRSQvl+UkKZQV5eXnz11Ve5LknKCnfu3OGbb76hUKFCTJ48mXr16nH16lUuXrxIjx49NIscchOVSkXfvn0xNTXl999/z1HDX3Xr1qVx48b89NNPqNUf3/0jN1qwYAEtWrSga9eueHt7Z3l7ycnJhIeHv9VDCdC/f38ePHjAlStXsjwOSebbs86HE/vv//+7d/8dvx4WL2LbhFrl+3H27Fl27NjB9evXKVWqFJMnT843iUO7du2wtrZm7RvbjuZVMpmMHj168ODBAwYNGsT48eOpWLEif/3113vPUQsVwdG3SdC/yOxV7QhOOcTdgJ3EJPhnY+S5g5RQZsDrfaXz8+ru1NRU9uzZQ/369SlfvjxHjx5l0qRJBAQEsHHjRipXrqztEL/I3LlzOX/+PJs3b8bS0vLjJ2SzGTNmcPfuXf744w9th5IlFAoF27dvp2jRorRq1SrLywkFBaX1UL0roWzYsCGOjo7S4pxcaN26dUydOg0HwyZ8VXggFkYubzz7b3JpZVKcykWGUbJgO2QyGTKZjG7duvHgwQPGjRvHvHnzKFmyJDt37szzPdX6+vr07duXjRs3olQqtR1OtjA3N2fhwoVcv34dExMT6tatS//+/QkNDU13nH/4BU7fm8yNZ6uJVz+hXJVCqHSCCYj4m78f/cqFh3OIis9fPdofIu3lnQFXrlyhWrVq/PXXX9SuXVvb4WSr8PBw1qxZw/LlywkICKB27dp4eHjQoUMHdHV1tR1eprh+/TrVq1dn7NixzJ49W9vhvFerVq3w9fXl7t27Wl0slJUCAwOpVq0a9vb2nDt3TjPMlNn++usv6tati4+PD+7u7m89P3HiRH7//XdevnyZ4+qjSt7Ny8uLNm3aMHjwYJYtW6YZZXiVGEhMwnNSVcnoKAywMimKsb7tB6/l5+fHmDFj2L9/P3Xr1mXx4sWUL1/+g+fkZvfu3aNMmTLs3r2bTp06aTucbKVWq1m/fj3jx49HrVYza9YsBg8ezOOQw/iFfqxkmwyZTE4l18HYmpXOlnhzMimhzIBp06axcOFCwsLC8uwH+X/dunWLJUuWsG3bNoQQ9OzZEw8PD7766itth5ap4uPjqVixIqamply8eDFHD9dfv36dypUrs3HjRvr27avtcLLMrVu3qF27Nk2aNGH37t1ZUlVhx44d9OjRg5iYmHcWrX/48CElS5bkjz/+oEuXLpneviRzXb9+nXr16tGoUSP27t2bab8zJ06cYOTIkTx69IihQ4cyffp0rK2tM+XaOU3NmjUxNzfXyraoOUF4eDgTJkxgzZo1DB3Tkja9XTN8rlymQ60S4zE1zLnl8LKFkHxUtWrVRJcuXbQdRpZTKpVi586donbt2gIQhQoVErNnzxZhYWHaDi3LDB48WBgZGYkHDx5oO5QMad++vShSpIhQKpXaDiVLHTp0SMjlcjFmzJgsuf68efOEiYnJB4+pXr26aNmyZZa0L8k8fn5+ws7OTlSrVk3Ex8dn+vWVSqWYP3++MDU1FVZWVmL58uUiNTU109vRtrVr1wqZTCaePXum7VC06u+LF8Rt390iLjFEqNUqIYQQ/zxeKI7c/FYcvekhfENOioTkCJGqUookZYwIiLgkTtweJ24+26DlyLVPmkP5EeHh4Vy5ciVPz58MCwvj559/xtXVlW7duqFQKNi9ezdPnz7lhx9+wMbGRtshZon9+/ezatUqfvvtN9zc3LQdToZMmzYNPz+/PD+/r3Xr1ixcuJD58+ezYsWKTL/+u1Z4/1f//v05duyYVraHlGRMREQELVq0wNTUlEOHDmFkZJTpbejq6jJ69GgePXpEu3btGD58OJUqVeL8+fOZ3pY2de3aFWNjY9avX6/tULTK1d0IA0MDQl/dJTElKt1zjlZVKWLbmFRVEvde/EF8chiFrKrhateIl1HXUabm7xqVUkL5EXm5XND169fp378/hQoV4ueff6ZFixbcvn2bs2fP0qlTpzw9vP/y5UsGDRpEu3bt+Oabb7QdToaVK1eOrl27MmPGDJKTk7UdTpby8PDAw8ODESNGfHYx4vd5Vw3K/+rWrRu6urps3bo1U9uWZI7ExETatm1LZGQkXl5eFChQIEvbs7e3Z926dVy+fBl9fX3q1atHz549P7meYU5lYmJCjx49WLduXb7eXvBl1A2ehBzjftBeklNe/efZtHm5icpIwmMfEJ8cAkBKagICNSExd7I52pxFSig/wsvLiwoVKuDg4KDtUDJFSkoKO3bsoGbNmlSuXJmzZ88yc+ZMXrx4werVqylXrpy2Q8xyarWa/v37o6ury5o1a3JUiaCMmDp1Ki9evMgXZT5+++03TSHizCwnlJGE0sLCgvbt20s1KXMglUpF7969uXnzJocPH6ZYsWLZ1nbVqlX5559/WL9+PadOncLNzY1Zs2Z90bZ+OcWgQYMICAjg5MmPLUbJu5JSY4B3/70HRl7GP/xvbM3L0LD0DJysaxIUdY2nYaeRIX9HApq/SAnlB+SlckEhISFMnz6dwoUL06NHDwwNDdm3bx++vr6MGzcOKysrbYeYbRYvXsyJEyfYsGFDrhzOd3d3p2fPnvz8888kJiZqO5wspVAo2LFjR6aXE8rIkDekDXvfu3ePGzduZEq7ki8nhGD06NHs37+fnTt3UrVq1WyPQS6X079/f81inZ9++onSpUtz8ODBXH3zUaVKFcqWLZund875GLns/Qu6LIxdKGhZmeiE51zzW0lIzB0KWlamsE1dAGQfODc/kBLKD7hx4wZhYWG5OqG8cuUKffr0wcnJiTlz5tC2bVu8vb05deoU7du3z3f7kt+5c4fvv/+eUaNG0axZM22H89l++uknQkJCWLlypbZDyXImJiYcOnQIlUpF27Ztv7jgtFqtJigo6KM9lABNmjTBwcGBDRs2fFGbksyzYMECFi9ezPLly2nTpo1WYzE3N2f+/PncuXOHYsWK0a5dO1q0aJFrd52RyWQMGjSIAwcOvFWTMb8w0rNJtx/8mxwsKqGj0Cco6hqhr7zxD78AgJ15WQRqjPTyZgWADNPumqCcbfr06cLc3FykpKRoO5RPkpycLLZs2SKqVq0qAOHq6irmzZsnIiMjtR2aViUkJIgyZcqIsmXLisTERG2H88UGDhwobG1tRVxcnLZDyRY3btwQxsbGokOHDl+0yvbly5cCEPv378/Q8ePHjxdWVlYiKSnps9uUZI7t27cLQEycOFHbobxFrVaL/fv3C1dXV6GjoyPGjh0rYmJitB3WJ4uIiBD6+vpi7ty52g5FKyLjfMXFRwvE7edbRFxSqBBCCN+Qk+L28y3ibsAfQgghXiUEidvPN4uwV2nVQfxCTonjt8eKVFXerr7xMVJC+QE1atQQnTp10nYYGRYUFCSmTJki7OzsBCCaNGkiDh48mCdLXHwOT09Poa+vL7y9vbUdSqbw8/MTOjo6Ys6cOdoOJdtkRjmha9euCUBcu3YtQ8ffu3dPAGLPnj2f3abky509e1bo6emJPn36CLVare1w3isxMVHMnDlTGBkZCTs7O7FhwwahUqm0HdYn6dGjh3Bzc8vRP+esolarxcvoW+987r9lgxKV0eJ5+AVx/PYYcT9wX/YGmgNJhc3fIzIykgIFCrBq1Sq+/vprbYfzXkIILl26xJIlS9i1axf6+vr069ePESNGvHMHkPzq2LFjtGjRgkWLFuHp6antcDLN0KFDNSWeTE1NtR1Otli8eDEjR47k999/Z+jQoZ98/sGDB2nXrh0vX77E3t4+Q+dUrVoVe3t7Dh48+MntSb7cvXv3qF27NpUrV+bIkSM5egOC1wICAhg3bhw7d+6kWrVqLFmyhCpVqmg7rAw5ffo0jRo1ype7wwFExD7iiu9SBOqPHitDjr6uObXcxqOvkz/eg99HmkP5HidOnECtVufYckHJycls2rSJKlWqULNmTa5cucLcuXMJGnnGmQAAMsFJREFUDAxk2bJlUjL5hrCwMPr370/z5s3x8PDQdjiZatKkScTGxrJo0SJth5JtPD09GTFixGeXE3rx4gU6OjrY2n54+7039evXj6NHjxISEvLJ7Um+TFBQEC1atMDZ2Zk9e/bkimQSwMnJiR07dnD27FkSExOpWrUqX3/9da74Hapfvz5FihTJt4tzrE1L8JXL18hkivfOp4R/k8lqxTzyfTIJUkL5Xl5eXpQrVy5DE/ezU2BgIJMnT8bJyYl+/fpRoEABjhw5wqNHjxg1ahTm5ubaDjFHEULw9ddfo1KpWL9+fa4rEfQxTk5ODBkyhPnz5xMdHa3tcLLNl5QTCgwMpGDBgsjlGX/76969OwqFgm3btn1qqJIv8OrVK82iyKNHj75zm8ycrl69ely/fp1ly5axb98+SpQowcKFC0lJSdF2aO8ll8v5+uuv+eOPP4iJidF2OFphb1GemsXHYmdentf1J2XINQmmjtwAlwL1qeU2/qN7w+cb2h1xz5lUKpWwtbUV33//vbZDEUKkzen466+/RNeuXYVCoRCmpqbCw8Mj12wXqE2///67AMSBAwe0HUqWCQoKEgYGBuLHH3/UdijZ6tWrV6J8+fLC2dlZBAUFZfi8fv36iRo1anxye507dxbly5f/5PMknyc5OVk0btxYmJubi7t372o7nEwRHh4uhg0bJuRyuXB3dxcnT57UdkjvFRgYKBQKhfj999+1HYrWJSqjxbOw8+LRyyPicfAxERh5VaSqkrUdVo4jJZTv8HrS/tmzZ7UaR0JCgli3bp2oUKGCAESJEiXE4sWLc+XKQW24f/++MDQ0FEOHDtV2KFluzJgxwtTUVISHh2s7lGwVEBAgChYsKCpXrpzh1e6NGjUSnTt3/uS2Dh06JABx8+bNTz5X8mnUarXo06eP0NPTE2fOnNF2OJnu5s2bok6dOgIQHTp0EH5+ftoO6Z3atm0rKlWqpO0wJLmElFC+w4wZM4SZmZlQKrVTAuD58+fihx9+ENbW1gIQLVu2FMeOHct1KwW1KTk5WXz11VfCzc1NxMfHazucLBcaGiqMjY1zTK96drp+/bqmnFBG/kZKliwpRo0a9cntKJVKYWdnJ0aOHPkZUUo+xaRJkwQgtm/fru1QsoxarRbbt28Xjo6OQl9fX/z444857r3q4MGDAhA3btzQdiiSXEBKKN+hZs2aomPHjtnaplqtFmfPnhWdOnUScrlcmJmZiVGjRonHjx9naxx5xfjx44Wurq64fv26tkPJNhMmTBBGRkYiODhY26Fku4MHDwq5XC7Gjh370WNNTU0/u8be6NGjhY2NjUhOloa7ssqKFSsEkG/qIMbGxopJkyYJPT094eTkJHbu3JljyvWkpKQIBwcH8e2332o7FEkuICWU/xERESHkcrlYvXp1trQXHx8vVq9eLcqVKycA4e7uLpYtWyZiY2Ozpf286PTp00Imk+Wr+oxCpP3umpmZie+++07boWjFwoULBSBWrFjx3mNiYmIEILZt2/ZZbdy+ffuTiqJLPs3rOqOenp45JqnKLk+ePBFt27YVgKhfv764c+eOtkMSQggxceJEYW5uLhISErQdiiSHkxLK/9i5c6cAREBAQJa28/TpUzFu3DhhaWkpZDKZaNOmjTh58mS+exPNbBEREcLR0VE0aNAgX04R+Omnn4SBgYEIDAzUdijZTq1WixEjRgiFQiGOHTv2zmN8fHwEIM6fP//Z7VSsWFF06NDhs8+XvNvly5eFkZGR6NixY77ejMHLy0u4ubkJuVwuRowYISIiIrQaz5MnTwQgNm/erNU4JDmflFD+R//+/UXZsmWz5NpqtVqcOnVKtG/fXsjlcmFhYSHGjBkjfH19s6S9/EatVosuXboICwsL4e/vr+1wtCI6OlpYWlrm2yGqlJQU0bJlS2FqaqrZEUmtUomXV66K2ytXioNjx4lBpUqJK5u3iJTP3H5z0aJFQldXV4SFhWVm6Pna48ePRYECBUTNmjWlnjCRNgd83rx5wtTUVFhbW4sVK1ZoNclu2LChqFevntbal+QO0k45b1Cr1Tg6OtK3b1/mzJmTadeNj49ny5YtLFmyhHv37lG6dGk8PDzo3bs3xsbGmdZOfrdx40b69+/PH3/8QZcuXbQdjtbMmjWLadOm8fjxY5ydnbUdTraLjY2lTp06REVFsX/WLIJPnCQxLAyZQoFarUalUqEjl6MwMMClWTNK9emNrpFRhq8fHh5OwYIFmT9/fp4rlK8NYWFh1KxZE7lczsWLF7G2ttZ2SDlGcHAwEyZMYMOGDVSoUIElS5ZoZeea7du307NnTx4+fEiJEiWyvX1J7iAllG+4efMmFStW5MyZM9SvX/+Lr+fn58eyZctYt24dr169om3btnh6elK/fv08V2Bb23x9falQoQKdO3dm/fr12g5Hq+Li4nB1daVDhw6sWrVK2+FoRYC/P0u7dqOaldUHj5PJ5Zg6OVF79iwMLCwyfP0O7dujExLCD926kxwTg1xHBxMHewo3bYZpoZy1GUJOlpCQQMOGDXn69CmXLl3C1dVV2yHlSJcuXcLDw4Nr167Rs2dPfv3112zddCMpKYmCBQvyzTffZGpniyRvkRLKN8yaNYvZs2cTERHx2dt7CSH4888/WbJkCYcPH8bCwoJvvvmGYcOG4eLikrkBSwBISUmhTp06hIWFcevWrXyzp/WHzJs3jwkTJvDw4UOKFCmi7XCynffadTzesydDx8rkcsyLFqH+vHnIdXU/evzzP//k+qrVEBcHcjmo1SCTIZPJEGo1NuXKUX7IEMxdXb7wVeRtKpWKjh07curUKc6dO0elSpW0HVKOplar2bBhAz/88AMJCQlMnjz5f+3deVxU9f7H8dfMsCOICIIoLigiLuC+U25oLmWmdrO0csmNC2j3tvi7mVt683YtQci19Op1ybI0U0NxSxEzN3AHURNBQPZ9mzm/P9S5kaQYywh8no/HPLLhzDmfw/qe78qsWbMwNTWtkuv7+/uzdetWbt++jXEZfk5E7SOB8je8vLyws7Pju+++e+LXZmdns2HDBoKCgrh8+TIeHh74+vry6quvYvEE3Wniyc2dO5dFixZx9OhRevbsaehyngq5ubm0aNGCwYMHs379ekOXU6XykpMJ9fGh88xZ2LRsgWnduhSkp3Pr4CEubdwIikKT/v1pNWY0lo6O5KWmErVtG/Yenjj36/vIc1/csJGrW7c+8hiVWo3a2JjeCxdg165dxd1YDaIoCj4+PqxevZpdu3bpt1cUj5eens6CBQsIDAykWbNmLFu2jGHDhlV6r1dkZCSenp58++23jBw5slKvJaqnWruXt06rJS4sjMjVqzm9bBknAwJR37jBkEGDnug8165dY9asWTRq1Ag/Pz/atGnD4cOHOXfuHJMnT5YwWcmOHz/ORx99xIcffihh8jcsLCyYPXs2Gzdu5OrVq4Yup0rd+DEEE8s6WDVx5uaPPxJ5v9u/9St/wWX4cBp07EiXv/8NRVE49/kKivPy6OTvT/KlS48+7969jw2TAIpOh7awkONz55F9506F3FNNs2TJElasWMGqVaskTD4hGxsbPv30UyIjI2nevDnPP/88w4YNIyoqqlKv6+HhQbdu3Vi7dm2lXkdUX7WuhVKn1RK9fTvXduykID0dlUZz73lFQaXTobG0xPWF53F75RU0f9Csr9Pp2LdvH8uXL2fv3r3Y2toyZcoUpk+fjrOzc1XeTq2WmZmJp6cnTk5OHDlyBCMjI0OX9FTJz8/H1dUVLy8vNm/ebOhyqsze198gPzUVBe51RwMtRryA59Sp3AzZR3FeLi1ffJGIVauJ2bmT5kOH0PGvfyUuLAwbFxcsGzZ86Jy6oiL2jH+dwsxMADynTaPFC88DsG/KVLJv3+alPbsfet2Vr76i9V/+Umn3Wh3997//Zfz48cydO5d58+YZupxqTVEUduzYwdtvv01cXBwzZ87kgw8+wNraulKut2bNGqZNm8bNmzflb514SK1qodQWFXFiwUIu/mcDBenpAChaLYpWi+r+Hx5tTg5Xtn7Fsf/7P4rz8kq8PjMzk+XLl+Pu7s6QIUO4c+cOX3zxBbGxsSxevFh+wKrYX//6V1JSUti4caOEyVKYmZnxj3/8g61bt3LhwgVDl1MlFEUhPy0NRafTh0lUKhy7dgUg6dw58tPSAbBr1w5ze3vsPTwAsGzYkNzk5FLPGx9+Qh8mHbt2pfnQIWgLCh467u7585z8eIn+EfP99xTl5lbwXVZfBw4cYOLEiUyYMIG5c+caupxqT6VSMXLkSC5dusScOXMICgrCzc2NjRs3onvw/V+BXnnlFczNzWvdMBpRNrWqhfKXT/5N7OHDUIZbVqnVNOjUiV7z5xEdHU1QUBDr168nNzeXUaNG4evrS+/evWW2toFs3bqVsWPHsmHDBsaPH2/ocp5ahYWFuLm50blzZ7755htDl1PpFEVhxwsjULRaANRGRnT+29s4P/ss13buJHLVaozMzem9cCH127gDUJidjUmdOmTcvIlXt26kmpjg4OCgfzg6OtI2/g7mycmY1a3LgOAgbuzZS5OBA7B0cCjRQvnr/lAiVq4s8Wa06zvvPHZsZm0QGRmJl5cXPXv2ZNeuXTKxoxLcunWLd955h23bttGzZ08CAwPp0qVLhV5j0qRJHDhwgOvXr6NW16o2KfEYtSZQpsfEcHT2/9F51h8P1G/YvTtt3nidOo0akZ+SQtTXXxO4ezfrQ0Kwt7dn6tSpTJs2rUqXaxAPu3XrFh4eHgwZMoTNmzdLqH+ML7/8kkmTJnH27Fk6dOhg6HIq3Z7xr5OfkoKxpSU95nyAvYcHlzdt4vKmkt3+Vs7OGFlYYN2kCZ1nzeTX/aHsPXuG+OxsEhMTSzx8GjWiuZU1vRbMx9jCgiPvvsfgL9Y+FCgVnQ6VWk1xfj63j/xExKpVtBk3DteXavckhtjYWHr27ImDgwOHDx+WlRgq2eHDh/Hz8+PChQtMmjSJRYsW0aBBgwo5d3h4OL169WLfvn14e3tXyDlFzVBrAuWZ5cu5e+4cvRYsIPbgQQoyMnB7+WUsGjTg3IqVJJ46hfeqleQlJxP1zTc09fbG1s2NTX9/B61He15++WXMzMwMfRu1nlar1a9bFxkZic0TrB1YWxUXF+Pu7o67uzvff/+9ocupNIWFhWzfvp2za9fSw7ouAz77lLrNmpFw6hS3Qg8AUJCRTlr0NdqMH0d6zHXMbW1p+dJINCYmnF4WQPf33yv13Af9Z2LdpAkd/XwJnzePnIREnlnyMeZ2dhz7xwekXLqE+7hxpF29iqLocBszhnqtWnFl61aMzMxo+eKLVfiZeLqkp6fTp08fcnJyCA8Px9HR0dAl1QrFxcWsWrWKOXPmoNPpmD9/PjNmzCh3y7CiKLRr14527drx1VdfVVC1oiaoFQPPFK2WWwcOohQXs3/qNP3YKrWxMZ5Tp2Lj4oKFvT1qIyOiv9vBjT17ybmTQJ9FH9Fv9CjsPTwwljD5VPjkk084evQohw4dkjBZRkZGRsydO5fx48dz8uRJunXrZuiSKtTt27dZtWoVa9asITExkeH9+tHPpi5176/76tilC473u/3uRkYSPn8Bdu3a0/y551AUhbSrUVxYv54Wzw8vcV6tVsvp06cJCQlBc+kiI7p2QWNsTJ9Fi0oc12fRR4QvXMiFL77QP6dSq+k+ezZ1mzVn3ty5uF67hre3N+3bt69V3YQFBQWMHDmS+Ph4jh8/LmGyChkZGeHj48Nf/vIX/ZqVq1evJjAwkAEDBvzp86pUKt566y3effddkpOTsbOzq8CqRXVWK1ooCzIz2f3K2JJPqlT0XrgAh06dOLnkXzR+xgunnj0JX7CQOydOUKdRIwatWU3mrVjUGjV1pJvb4E6dOkXPnj155513WLx4saHLqVa0Wi3t27enadOm7N2719DllJuiKBw+fJjg4GB27NiBubk5b7zxBjNmzKBNmzZErlnLtTKuJ6sD6rm40PezT0lISiIkJISQkBBCQ0NJTU3F2tqacX378aKjI1a/2cqyg88MzGxsiFi5ksLMLJx69+JuRCS64mJajngB66ZNiVy/nve3buXwTz+Rl5dHgwYNGDhwIN7e3nh7e9fo4TM6nY7XXnuN7777jtDQUINsGSj+5+zZs/j6+hIWFsZLL73E0qVL//RmG8nJyTRq1IiPP/6YWbNmVWyhotqqPW+Vf0NtZETXd9/BoVMnru3cye0jRx4+SMblPVVycnJ49dVX8fT0lKVG/gSNRsO8efP48ccfOX78uKHL+dMyMzMJDg6mXbt29O/fn0uXLhEQEEBcXBxBQUG0adMGgPYTJ+Bchu1TFZWKuKwsFvz8M54dO9K4cWMmT57MjRs3mDFjBkePHiU5OZmg775FW1hA/PHjxIeFER8Wpp/lnXjmLOnXr2NkYYH7a6/iOW0qamNjLv33v6gV2PPjj6SmpupnOF+9epWJEyfSuHFj2rZty8yZM9m9ezfZ2dmV+amrcrNnz+arr75i06ZNEiafAh07duTo0aNs2rSJEydO4O7uzrx588j9E6sQ2NnZMXLkSNauXUstaJMSZVQrWigVrZadL41CV1T0hwP1202cSKvRo4hYuZKY73fRoGNH+iz6iDs//4xdu3YYW1oa+C5qtylTprBp0ybOnDmDm5ubocuplnQ6HR07dsTOzo4DBw4YupwncunSJYKDg9mwYQN5eXm8+OKL+Pj40Ldv3z+clKUoCjHf7yLqm2/IT0m5t+asoqBwb/HxYkXhYNxt/nv5MrnFxXTt2pW3336bgQMHltqNd+fnk4QvWFDmVSLMbG3pvzwQ07p1H/p4cnIyBw4cYP/+/ezfv59bt25hbGxMz5498fb2ZtCgQXTu3BnN/XVyq5ugoCB8fX1ZtmwZ/v7+hi5H/E52djaLFy9m6dKlODo6snTpUkaNGvVEExxDQ0Px9vbm+PHjsqmEAGpJoAQ4vSyAuLAwnv3kX6UO1M+9m3xvUs7du0R9/TVNBw3C1s2Nr2fPxqxXL4YOHVptf7lXdzt27GDkyJGsXr2at956y9DlVGsPPpeHDh2ibxla8AypqKiInTt3EhwczOHDh3FwcGDKlClMmTKFxo0bl/k8KcnJHNywgdjwcJJux5GWlUlsbi60bMmAwYMZPHgwW7ZsYfHixfznP//h9ddf/8Nz/bp/P6eXBdzrwfiDdf5UajWmNjZ4ffxPrMpQp6IoREdH68PloUOHyMzMpF69evTv31/fPV5d9mT/7rvvGDVqFLNmzWLp0qWGLkc8woOd3n744Qf69etHYGAg7cq4XahOp6NFixb079+fL34zfljUYkotkRodrex9481SP5YUEaFsHzJUOb5ggZJx86aiLSxUshMSlLNBwcqY3r0VQHFxcVE+++wzJT09vYorr93i4uKU+vXrKyNGjFB0Op2hy6n2dDqd0rlzZ6VPnz5P7eczPj5emT9/vuLk5KQASp8+fZQtW7YoBQUFZXp9UVGREhYWpnz44YdK9+7dFbVarQCKu7u7MnPmTGXv3r1KTk5OidfodDpl0qRJikajUXbv3v3I89+NPK98+9YUZfuQocr2ocOUb59/Qfl2+PPK9iFDlR0vjlTOBgUreSkpf/r+CwsLlWPHjilz585VevXqpWg0Gv3voGnTpinbt29X0tLS/vT5K9Px48cVMzMz5eWXX1a0Wq2hyxFltHv3bsXV1VXRaDSKr6+vkpqaWqbXLVy4ULGwsFAyMjIquUJRHdSaFkqAnz/+mLijx8rcZWXn4UGfjxZy8pdfCAgI4Ouvv8bMzIw333wTX19fWrVqVQVV1146nY7nnnuO8+fPc/78eZlNWEH27NnDsGHDCAkJYdAT7l1fWRRF4dixYwQHB7N9+3ZMTEwYN24cM2bMwNPT87Gvv3Xrln4yzYEDB0hPT8fGxoaBAwcy+H4r5ON2siouLmbUqFGEhoZy4MABevToof9YekwMWbGxaAuLMLG24u9LlxIfE8Pq2f9HQWYGaiMjLB0daeTlhbGFRbk/H7+VkZHB4cOH9S2YUVFRqNVqunbtqm+97NGjByYmJhV63ScVFRVFr169aNu2LSEhIbLMWjVTWFhIQEAACxYswMzMjMWLFzNx4sRH9szdvn2bpk2bsnLlSuk9ErWnyxtAW1hI+Pz5JJ2LeHSoVKup5+pKn0UflfjjEBcXx8qVK1m5ciXJyckMHToUf39/vL29ZXHtSrBs2TJmzZr1VAWfmkBRFHr16oVOp+PEiRMG/d7Nzs5m06ZNfP7550RGRuLq6sqMGTN48803H7ksVG5uLocPH2bfvn2EhIRw5coV1Go13bt31wfILl26PPGWnHl5eQwaNIhLly5x9MgRLO/c4dr3u8iIiSlxXIFWS0ETZ0Z9+CFWVbzl6q+//qoPlwcOHCAlJYU6derQt29ffcBs3bp1hX5di7X5xKedIjMvDq2uEGMjC+yt3LGzao1KpSYxMZGePXtiZmZGWFgY9erVq7Bri6p1584d3n//fTZs2ECnTp1Yvnw5vXr1+sPjhw8fzt27dzkadoC8wjQUdJgaWWFuYluFVYunQa0KlAC64mKufrWNa99/T1FWln6gPioVilaLkYUFLkOH4P7aa2hMTUs9R35+Plu2bCEgIICIiAhat26Nn58fr7/+OpYyeadCREZG0rVrV3x8fPj0008NXU6N82BA/a5duxg+fPjjX1DBoqKi+Pzzz1m3bh3Z2dkMHz4cHx8fBg4cWOo6jYqicP78eX0r5NGjRyksLMTZ2VkfIAcMGFAhQSYtLY0BzzzDKJt6uFtZ3RsvWdqvSbUatUZDt/ffw8lAkxJ0Oh1nz57VB8xjx45RWFhIo0aN9OFy4MCBf3qXlKLiXKISfuB2ygm0SiGq3ywMoqDD3NiWRjZevDpiNvHx8YSHh9O0adOKuj1hQOHh4fj6+nL69GnGjRvHkiVLcHJyKnGMoih8H7KOXy59Q6/+LYD//ZxYmzvTzP5ZGtp0RqOWbTZrg1oXKB/QFRURd/w4yRcuUJybi5G5Bbat3Wjs5fWHQfL3FEXh6NGjBAQEsGPHDqytrZk8eTI+Pj5/en0vca+VqGvXrqjVak6ePCldZ5VAURT69u1LVlYWp0+frpJWSq1Wyw8//EBwcDD79+/Hzs6OyZMnM23atFJDSHJyMvv37yckJIR9+/Zx584dzM3NefbZZ/UhsqJb4gB0Wi2H3nuftIsXUT/u3CoVKpWK3h99RIMOj++ar2y5ubn89NNP+oB5/vx5ADw9PRk0aBDe3t706dMHc3Pzx54rvyiDn68FkFuQjELpE5AeOPhDFK8NX0LHDh0r5D7E00Gr1bJu3Tpmz55NXl4ec+bMYebMmZiamqLVFRHx6wYSMs6iLdahMfr9G0EVoGBhak83l79iYVrfELcgqlCtDZQV7ebNm3z++eesWbOGzMxMRowYgb+/P88884x0hz8hf39/Vq1axalTp8o841A8uZ9++olnn32W7du389JLL1Xade7evcvatWtZuXIlt27donv37vj4+DBmzJgSbxaKioo4ceKEvhXy9OnTKIpC+/bt9QGyT58+lf4GI/bIETQmpti0bIFp3boUpKdz6+AhLm3cqG+pVGk09P30U+q5tiQ/LY1D/jN5bt2X93o8niIJCQmEhobqA+adO3cwNTXFy8tLvzyRh4fHQ63CWl0Rx6P+TXb+nceGSQAUaOEwCDenFyrpToQhpaenM2/ePIKCgnBxcWHZss9o0DqWpMyL/LZVsjQq1JgYWdHb7V3MjB9eQkvUHBIoK1hOTg4bN24kMDCQy5cv4+npiZ+fH6+++qq0tJXB3r17GTp0KIGBgfj6+hq6nBrP29ubhIQEIiIiKnRLQEVR+PnnnwkODmbbtm2o1WrGjh2Lj48PnTt31h93/fp1fYA8ePAgWVlZ1K9fH29vbwYPHsygQYMe6marbMfnzaf9W5OJPXiQgowM3F5+GYsGDTi3YiXXd+0CoN3ECTQfOhRjCwvyU9PYM24cPefNpeFTvK2loihcvHhRHy6PHDlCbm4u9vb2JXbvady4MbEp4ViY1MfavDEatQkFxVkkZkRyJf47VCo1bRqNxt66LcYaCwqLs0nMiOBK/E76tZmPqbG1oW9VVJKLFy/i5+eHXZN8Aj5bQV0LZ0yM6lBYnEVc6i9EJfyAChVuTi/Q0KYTJkZWFGvzSM66QlLGRTo2n2DoWxCVSAJlJVEUhdDQUAICAti9ezd2dnZMnTqV6dOn1+jt1sojKSkJDw8POnbsyJ49e6RltwqEh4fTq1cvtmzeTL9WrUi9ehVtfj5G5hbYebSnfps2T/R1yMvLY8uWLQQHB3PmzBlcXFyYPn06EyZMoH79+mRnZ3Po0CF9iLx27RoajYaePXvqWyE7depksDVfM27c4KCv3702l/vrTLYY8QKeU6dyM2QfZwICsPf0pPdHCzm7PIjOM/3JT01j7+uv49ClC73mzTVI3X9GQUEB4eHh+oB56tQpFEWhdevWzA0aQLf2L5GTn4CCgkuDAdQxc+Ti7W2YGNXB1XEoKdnRxKf+QjP7fliZN+R87BbMjevR0vE5Q9+aqEQ6nY5DkR/TvfUk4tN+obA4mxYOgzA3seXi7a/R6grwaDKOrLx4btw9RGPbHtjWacG1xH00qtdFJuvUYE82BVKUmUql0r/jj46OJigoiICAAJYsWcLo0aPx9/cvsSxJbacoCpMmTdKP2ZEwWTW6d+vGO0OGkPPlOsKMje912d5ftFvZqMPK2RnXUS/R9DErGVy/fp0VK1bw5ZdfkpaWxnPPPcfu3bsZNGgQ58+fZ82aNYSEhBAWFkZRURHNmjVj8ODB/Otf/6J///7ULWU3GUPIir2N8tsFy1UqHLt2BSDp3DlMrKzo8re3if72O+6eO6c/TNHpiL94kU2bNqHRaNBoNKjVav2/q+LxpC3Mpqam9O3bl759+7Jo0SJSUlI4ePAg4b/sx7o+XIn/FmONBUYacxradKSOmeP9bfbufR/k5CeRnH0VBxtPrMwbUlScQ3LWFQmUNVxabgyFJPDTlY940N2tVhnRpvForM0bkZZzA4C8wlSSs65Qz7I5tnVaUFScw62UMNwaPm/A6kVlkkBZBVxdXQkICGDhwoWsW7eO5cuX07NnT7p164afnx9jxowx+BpyhrZq1Sp++OEHvv/+exwdHQ1dTq2gLSzkxKJF9ECF7v7yOopWW+KYrNu3ObMsgOQLF+ns71dijKBOp+PHH38kODiYvXv3YmNjw8SJExkzZgxRUVFs3ryZCRMmkJSUhKWlJf369ePTTz9l8ODBtGzZskrfNOh0OtLS0rh7926JR1JSUon/b5idw0jbey0oaiMjOv/tbRw6deLazp3cPnKEzrNmoisq5lZoKBb3Z06rNGosGzYk9uZN3ho3rsruqTQVEUxbtrUBWgPwrPuHmBjVASAu9SSxqcdRq4ywNm9ME7veNLHrDUBM4j4SMs6hVsls3pouI/cW9zcwvf+MCnvrtgAkZ10lIf0sNhbNaGLXm/51742Bj087xY27B7Gzam2YokWVkC5vA9Bqtezdu5eAgABCQ0Np2LAh06dPZ+rUqX96eY/q7PLly3Tu3Jk33niDFStWGLqcWkFRFE7+82PiwsLKtNA/QMsXR+AxZQqpqal8+eWXrFixguvXr9OhQwe8vb3RarUcPHiQc/db7jp06KDvxu7VqxemZVw9oSy0Wi2pqamlhsLSAmNKSgra34VltVqNnZ0d9vb2+kdrS0s6JCZhbGlJjzkfYO/hweVNm7i8aTMAXh//E3sPj1JrOvT23+ix6CO0Wm2Jh06ne+i5p/lh21BHnxH33uDWs2yBqbE1LvYDsLZw5tzNdfe+ts0mkJx1hVvJx2jh4I2NRTNO31hDctZlnvNcVmFfZ/H0iU7Yy7WEvSjoUKuM8GgyHqd6nblx9xCX47ZTz9KFri4+ZBckcC3hR5zr98ShrgcXb39NRu6v9Gr1d0PfgqgkEigN7OLFiwQGBrJx40a0Wi1jx47F39+fjh1rx/IbhYWF9OjRg9zcXM6cOYNFBe8yIkqXfP4CP733HgCe06bR4oV73VD7pkwl+/ZtWo0eTbPnBmNuZ0dxXh4ply4TsWIFu1FYu20bOp2ODh06YGJiwrlz58jJyaFBgwYMGjRI/3BwcChzPcXFxSQnJz82GD54pKSk8PtfXUZGRg8FRHt7exo0aPDQc/b29tja2j7UTVycl8ePkybjtXgRdZs1I+HUKW6FHgCgICMdRavD5H73vGndunT8qw+FWdmcCVpO3WbNcB879k9/TZ4W2fkPujP/x9GmI52aTSIx4zwqVDSo247TN1aTmBFJk/p9aOf8CrEpx7mWGEK/NvMNVLmoCjfvHuZS3HaMNGZ0bj6F+nVciU7YQ3TCHgDaNBpDM/tnuRS3nZt3D2Fv1YauLWaQnHWFG0mH6NpiuoHvQFQW6fI2sLZt27Jq1Sr++c9/snbtWoKCgvjPf/6Dl5cX/v7+jBgx4ol3+6hO5syZw4ULFzhx4oSEySoU88MPqDQaHDp1ovnQIWgLCvTrr9p5eNBu4gTykpOJWLGSht2749SzB8X5eXzr74+FhQVpaWmcO3eO3r1788EHHzB48GA8PT31Aa2wsJD4+PjHBsMHj9TU1IdqNDY2LhEIGzduTMeOHf8wMNrY2JS7G93I3ByXYUOpe38dWccuXXDs0gWAu5GRHH1/tv7YB13euqIi7oQdx3PKlHJd+2lRx8yRJvW9sLFsTlpODCpUNLV7FoCsvDg06nutl83t+2OssaCJXZ/7H4vH2dYwC7yLqmNbxxWN2pieLWdhZe5EUuZFsvMTaWjTmcLiLHIKkgBwtu1FsTYPp3r3xiBn5d3BzsrNkKWLSlZzk0o1Y2try7vvvsvbb7/Nzp07CQgIYPTo0TRp0gQfHx8mT56MrW3Nmh138OBBPvnkE5YsWUKnTp0MXU6tUZSTQ3xYGCbW1nSa6c/Vr7bRZOAALO+3KD4IZQXp6SSdPYu5vT0Ne3SnKDubvg2dSGzalJaurtjb25OVlUVMTAzz588vERozMjIeuq6ZmVmJINisWTO6du36hy2I1tbWBpmc1aRfP3aMeBFdcfEjhwPkJiXx7dBhoFLR1Nsb8/o1Z+FmOyt3zE3q4VjXA5VKTX5RBjGJ+4hO2INabYSRxgx767a0bfwXCouziEncz83knxjQ9qPHn1xUa9bmjbCr446V+b3lvBpYt6XB/TGUKdnRnLy2HHOTejS06UTbxn+hSJvLrZQwriXupa/7PANWLiqbdHk/xc6ePUtgYCCbN29Go9Ewfvx4/Pz8aNu2raFLK7fU1FQ8PDxo1aoVoaGhFboGoni0rNhY9k+dRq8F8zG2sODIu+8x+Iu1WDo46Lu83V97ldZjx6K6/3W5GxFJ2Icfoisq4rV9IeRrtVhYWDyyS/n3LYiWlpbVZvZ+wi+/EL5g4b0Z34/6FalSYde2Lb0/WoimBk2su7ew+Sdk5yeUbWFzwKWBN62dRlRyZeJpkJAewZmba57gFSqa1O9NO+dXKq0mYXgSKKuBpKQkVq1axeeff05CQgIDBw7Ez8+PYcOGVcsgpigKL7/8MgcOHCAiIgJnZ2dDl1Tj6XQ64uLiuHr1KjGnT9PZyJiOfr6Ez5tHTkIizyz5GHM7O4794wMK0tPps3gRRbm5XPjiSxy6dKb5c88R/e23nF/7BZ5L/03Dpk1r/BCF5PMXOPXpp+QmJqJSqx9aTkilUtHUeyCe06fXqDD5wJNsvdjYtgftnV9Fpap+v4/En3MlfgfXk0LLcKSKuhZN6NHSXz9cQtRMEiirkcLCQr755hsCAgI4efIkLVq0wNfXlwkTJmBtXX12p1i/fj0TJkxg27ZtjBkzxtDl1CgZGRlERUVx9epV/X+vXr1KdHQ0ubm5ANhaWHBs9WrcX3ut1HOcX/sF7SdP4trOnUSuWo2VszPeq1aSHR9P6PQZjPjuW33LZU2n6HQknTvH9d17yPz1V3SFBZhY16VR7940GzwIsxo2DOX3iopziUr4gdiUcHRKESr+93VX0GFmXI8WDt40qe9VbVqfRcVQFIWYxBCiEnY/eKbEx1WoUdDRwLo9HZq+iZGm4lZ5EE8nCZTV1IkTJwgMDOTrr7/GzMyMCRMm4Ovri6urq6FLe6Rr167RsWNHRo8ezbp16wxdTrVUVFTEjRs39GHxt8ExMTFRf5yTkxOtWrXCzc0NNzc3/b+bNWtGxPIgivPzUHT3fvw7+MzAzMaGiJUrKcrOocvf/0ZecjKXN22mQadONPbqQ3x4OPHhJ+jy9ixD3bowkGJtPvFpp8jMi0OrK8RYY469dRvsrFpLq2Qtl1+UQWzKcW6lHKOg6N7YaY3aFKd6nWlS34u6FtIDVVtIoKzm4uLiWLFiBatWrSIlJYWhQ4fi7+/PwIEDn7oWg6KiIry8vLh79y7nzp3DysrK0CU9tRRFITExsURYfPDv69evU1xcDIClpWWJ0PggOLZq1eqRn9/44+Gc+Oh/EygGr/uyxBjK3y4bVJSbS3JkJJGrVtNj7ofYtmpV6fcvhKh+FEWHTtGiUcsC97WRBMoaIj8/ny1bthAQEEBERATu7u74+fkxfvx4LC0tDV0eAHPnzmXRokUcO3ZMtp28Lzc3l+jo6FJbGzMzM4F7C3A3b9681NZGJyenP/XGQafVcnjW22Rcv15ybOAfUatxrGZ7VQshhKg6EihrGEVR+OmnnwgMDGTHjh1YW1vz1ltv4ePjQ9OmTQ1WV1hYGM888wzz5s1jzpw5BqvDELRaLbdu3Sq1tTE2NlZ/nJ2dXYmw+ODfLVq0qNBdZh7IT0/np3feJefOnUeHSpWKem6t8Fq0CCNz8wqvQwghRPUngbIGu3nzJsHBwaxdu5bMzExefPFF/P398fKq2gH0GRkZdOjQAScnJ44cOVJjF2pPTU19qJUxKiqK6OhoCgoKADA1NcXV1bXU1kZDrDNamJ1N5Oo1xB4+hKK9HyoVBVQqUBQ0JiY0GzKEdm++oV/4XAghhPg9CZS1QE5ODhs3biQwMJDLly/ToUMH/Pz8GDt2LGZmZpV+/ddff50dO3YQERFB8+bNK/16lamgoICYmJgSofFBcExOTtYf5+zsXOrYxiZNmqDRaAx4B6UryMzk1/37SbsaRXFuLsZ16mDXvh3O/fphXMOXBxJCCFF+EihrEUVR2L9/PwEBAezZswd7e3umTp3K9OnTcXJyqpRrbtmyhVdffZWNGzcybty4SrlGRVMUhfj4+FJbG2/cuIHufvewtbV1qV3Urq6uT824VSGEEKIqSKCspaKjo1m+fDnr1q0jPz+fMWPG4O/vT/fu3Z/4XHnJyWTfuYOuqAgTKytsXFxQaTT8+uuveHp6MmTIEDZv3vzUzTrPysoqdc3GqKgocnJyADAyMsLFxaXU4Ojg4PDU3ZMQQghhCBIoa7mMjAzWr1/P8uXLiYmJoVu3bvj7+zN69GhMHrH7h6IoJJ4+TcyuXST+cqrEx8xsbWk+fBgzP1/BlV9vEhERgY2NTSXfSemKi4u5efNmqbOo79y5oz/OwcGh1NDo4uKCsbEsgSGEEEI8igRKAdybibxnzx4CAgI4cOAADRs2ZMaMGUydOhV7e/uSxxYVceazz4g9fOThLenuU4CcoiIaTZrIgFcqd/9WRVFITk4uNTTGxMRQVFQEgLm5uT4w/jY4urq6GizwCiGEEDWBBErxkIsXLxIYGMjGjRvR6XSMHTsWf39/OnTogKLTcfJf/yLu6LF7s4EfQQGMTE3p++lS6lbAZJy8vDyuXbtWanBMT08HuLe/ctOmD4VGNzc3GjVqVC33PhdCCCGedhIoxR9KTU1l7dq1BAUFERsbyzPPPIPfsOGoDh8ucZyVszOe06dR392d4vx8Yg8f4fwXX6AUF6NSq7FydmbA58FlGm+o0+mIjY0tdc3GW7du8eDbtV69eg8tu+Pm5kaLFi0wl7UShRBCiColgVI8VnFxMTt27CAwMJAhRcW42tigvh8OVWo13qtWYm5vz6UNG6nbwoUm/fpxZetWLm3YqD/Hs0v/TX13d/3/p6enl7r0TnR0NHl5eQAYGxvTsmXLUsc22tnZyYQYIYQQ4ikhgVKUWcbNmxyY4VPiOceuXek1fx5xYWH8vGgxGlNTnv96G9qCAnaNefneQSoVWQ0acFSj1ofIpKQk/TmcnJxKbW1s2rRpjV0EXQghhKhJ5K+1KLOMGzcees7y/vqVuUl3AdAWFFCYmYmZrS2mNjYUpKeDopB54zpns7Jwc3Ojf//+JSbEWFlZVeVtCCGEEKKCSaAUZaa9v33g4z3cFd2yaTNO/2d9hdYjhBBCiKeDTHkVZWZSp85Dz+XExwNg0aABABpTU0ysrSjKybnXOvngtdIKKYQQQtRY0kIpysyufXtUGg2KVqt/LvH0abLj43Hs2gXXl16irosLaiMjor7Zrj9GpVbj2K2bIUoWQgghRBWQFkpRZqZ169L4GS9UGo3+OUWnI3zBQlIuX6bN6+Nx6NKZmF27uLJ58/+OURSaD3nOECULIYQQogrILG/xRNKiozk0c9ZjFzV/QKVW06hPH7q9/14lVyaEEEIIQ5EWSvFE6rm60snPt0zHqtRqrJs1o2MZjxdCCCFE9SQtlOJPiT18mLOByynOzweVqkSL5YNxlo5du9L1vXcxtrAwYKVCCCGEqGwSKMWfVpyfz+0jR7j+w26y4uJQiosxrlOHRn364DJsKNZNmxq6RCGEEEJUAQmUQgghhBCiXGQMpRBCCCGEKBcJlEIIIYQQolwkUAohhBBCiHKRQCmEEEIIIcpFAqUQQgghhCgXCZRCCCGEEKJcJFAKIYQQQohykUAphBBCCCHKRQKlEEIIIYQoFwmUQgghhBCiXCRQCiGEEEKIcpFAKYQQQgghykUCpRBCCCGEKBcJlEIIIYQQolwkUAohhBBCiHKRQCmEEEIIIcpFAqUQQgghhCgXCZRCCCGEEKJcJFAKIYQQQohykUAphBBCCCHKRQKlEEIIIYQoFwmUQgghhBCiXCRQCiGEEEKIcpFAKYQQQgghykUCpRBCCCGEKBcJlEIIIYQQolwkUAohhBBCiHKRQCmEEEIIIcpFAqUQQgghhCgXCZRCCCGEEKJcJFAKIYQQQohykUAphBBCCCHKRQKlEEIIIYQoFwmUQgghhBCiXCRQCiGEEEKIcpFAKYQQQgghykUCpRBCCCGEKBcJlEIIIYQQolwkUAohhBBCiHKRQCmEEEIIIcpFAqUQQgghhCgXCZRCCCGEEKJcJFAKIYQQQohy+X+Efa+qvHk8YQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "if(req.content['reachable_idx'].shape != ()):\n",
    "    for i in req.content[\"reachable_idx\"]:\n",
    "        partition_result = populations[i].get_partition()\n",
    "        node_colors = [partition_result[node] for node in G.nodes()]\n",
    "        labels = {node: f'{node}' for node in G.nodes()}\n",
    "        label_pos = {k: (v[0], v[1]) for k, v in pos.items()}  \n",
    "\n",
    "        plt.figure()\n",
    "        nx.draw(G, pos, node_size=100, node_color=node_colors, cmap=plt.cm.tab20b)\n",
    "        nx.draw_networkx_labels(G, pos=label_pos, labels=labels, font_size=8, font_color='white', font_weight='800')\n",
    "\n",
    "        plt.show()\n",
    "else: \n",
    "    partition_result = populations[req.content[\"reachable_idx\"]].get_partition()\n",
    "    node_colors = [partition_result[node] for node in G.nodes()]\n",
    "    labels = {node: f'{node}' for node in G.nodes()}\n",
    "    label_pos = {k: (v[0], v[1]) for k, v in pos.items()}  \n",
    "\n",
    "    plt.figure()\n",
    "    nx.draw(G, pos, node_size=100, node_color=node_colors, cmap=plt.cm.tab20b)\n",
    "    nx.draw_networkx_labels(G, pos=label_pos, labels=labels, font_size=8, font_color='white', font_weight='800')\n",
    "\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1203,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3., 2., 4., 2., 2., 3., 2., 2., 2., 4., 1., 4., 3., 1., 1., 2., 2.,\n",
       "       2., 2., 2., 3., 1., 1., 4., 3., 3., 4., 2., 2., 3., 4., 1., 1., 2.,\n",
       "       3., 1., 2., 2., 2., 4., 4., 4., 2., 1., 2., 3., 4., 2., 3., 1.])"
      ]
     },
     "execution_count": 1203,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "populations[req.content[\"reachable_idx\"]].get_partition()"
   ]
  }
 ],
 "metadata": {
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