eda.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from datasets import load_dataset\n",
    "import numpy as np\n",
    "import networkx as nx\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import torch\n",
    "import torch_geometric as pyg\n",
    "from torch_geometric.data import Data\n",
    "from torch_geometric.loader import DataLoader"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset_hf = load_dataset(\"graphs-datasets/PROTEINS\")\n",
    "dataset_pg_list = [\n",
    "    Data(\n",
    "        x=torch.tensor(graph[\"node_feat\"]),\n",
    "        edge_index=torch.tensor(graph[\"edge_index\"]),\n",
    "        y=torch.tensor(graph[\"y\"]),\n",
    "    ) for graph in dataset_hf[\"train\"]\n",
    "]\n",
    "dataset_pg = DataLoader(dataset_pg_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of graphs in the dataset: 1,113\n"
     ]
    }
   ],
   "source": [
    "print(f\"Number of graphs in the dataset: {len(dataset_pg_list):,}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "prot = dataset_pg_list[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prot.is_undirected()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nxg = pyg.utils.to_networkx(prot, to_undirected=True)\n",
    "fig = plt.figure(figsize=(4, 4))\n",
    "nx.draw(nxg, node_size=10, ax=fig.add_subplot(111))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([42, 3])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prot.x.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = []\n",
    "colors = []\n",
    "for i in np.random.randint(0, len(dataset_pg_list), 9):\n",
    "    samples.append(pyg.utils.to_networkx(dataset_pg_list[i], to_undirected=True))\n",
    "    colors.append(\"blue\" if dataset_pg_list[i].y.item() == 1 else \"red\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1200x1200 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4lkQCcWiI9OAgiihiKSpiYTIJPT0Zb7ovfAHuvvsdu9Oys+kKBLCGQkyZMwehr29C+tW9FxffmuB5QtM0jh49yo9//GMOdHQgZWdTbTazYO5cvIkEWWVlzFi5EntZGRFJYnFpKdUVFUgDAxPvA3VqeVAUMZw8SUFhIdO/8x1W3HknPp+Pn/3sZ2zYsIGeU5VJQFlZGddeey0HDhzgwIED53HwlyYVFRV87h/+AdeKFWx86y2effZZEokE8+fP5+f/9E/8f3feSUl/P13f+x6733qLbrsdVVEyS8A+37k78/ngyJF3/l5HR+ejZ+1auPJKcLmQFYX0q6/Chg3ne1QfLcePw8mT2EdHcSaT0NWFoqoowCDQA3g0jRkjI7QKAocKC9Fmz4aTJ9/1PnTE72dncTFl5eVYOjtBFCekX917oUfsPgQDAwO8/PLLdHd3M336dFZ9/vNs/+Y3mX/yJA6f73Rko0tReGr3bq644QYKfb6P34vufPK2ZT+ppISFwLx58zh+/Dg7duxg/fr1VFRUsGLFCqqqqpg/fz6Dg4O8/PLL5ObmUj5RIpgXCRaLhU9/+tNMnjyZl156ie7ubu7MySF/+3YWBYPMUBQGRJEtfj+HXnoJr8fDDIOBzsceg9mz8Xg8lDQ3k7NlC5ZUCsnj0SN6OjofNz4fbN1KocvFaF8f0pEj8O1vZ56bCJE7nw/t9ddJFBQgjIxgVRQMmkaKTOQpYjIhZWXhiEYxJJMEbTZidjtjublkDw29Y3nV7/fz8ssvM/222/DMn39JppXoPnbvQzweZ9u2bezfv5+cnByuvfZaKisr2b17N3V1dXz1llvwqCp4vYxYLKxfv578/Hw+97nPIZ2qWrrEPlCn0DSN5uZmduzYQV9fH0VFRaxYsYKamhp+//vfMzw8zAMPPEBWVtb5HuolSSAQ4JVf/YrJGzZgNBjo1TQ8IyNUjI0xUFjI4ViM3GQSRdP4bVUVydxc3OEwnz9+HIMs45o5kzlVVQiSlPGgugQ/4zo6nwhHjsA3v0n85Em6u7txFhVRJMswdy78+McX/7V35AiRf/gHDkYilIbDWNvbsYdCnGqWaXK5kM5a8dIWLKA+GsUVClEzZco59x9FUVi/fj3JZJKHHnroki0K0yN274KmaRw6dIgtW7agKApXXXUVl112GZIkkUwm2bFjB3PnzsUzcyYA0WiUP/zqVzgcDu64445MAvoF4kV3vhAEgdraWqZOnUp7ezs7duxg48aN5ObmMn/+fEZHR3niiSf0bgjniaysLD6zejX+F1/kla4uBoeHcTud2ESRZCRCVTpNSBDoXrwYq8uFUZa5TZZZDMQNBlItLQglJZBKXTIJyTo65wWvF4xGjJEIis2GFI9nigUmyLWnZWfjC4XI1zTcS5Yw3NmJE0gIAkZATKVgaAgWLIBPfQrh5EkmBYO0RaOMrFlDzqnj9/nY9+KLRE+c4I6vf/2SFXWgC7t30Nvby8svv0xvby+zZ89mzZo1OJ3O08/v3r2bVCrFypUrgUxniQ0bNpBOp7n33nuxWq3na+gXJKd88Kqrq+np6WHHjh288soriKKItHUrPU8+qXdDOE+IubnkTprE9dnZHBocxBEMYs/LY/jqqxkKBHhpzx5iksT0igpS7e14jhwhEI2SNhqxWK2wfz/Mnz+x8kd1dC40Skrg9tsRGhrIDQRICgJaXh5CYeGEuPZOxOPsq6xkmc9H+zPPUJ5MkpAk/F4vpnAYU04OpsJC+Md/hKuuAp8P5/Awh194gd6xMW44cgSOHyf0/PO4jh3jzqoqCo4fh6Ki831o5w1d2I1bO8RtNuqamjh06BB5eXncd99972ifFYvF2L17NwsXLsTlcqGqKs888wxDQ0N84Qtf0JcVP4DS0lLuuusuBgcHObhpE1nt7bQGg0QWLmSmoiDo3RA+WcaLYDwbN7JC02gXRXaVllK7Zg2r5s1jVlMTv//977n88sspnTEDd3c3w6EQhpYWlHic0XicSHU1RQUF+o1ER+fj5K67EFSVvm99C9JpcvLysEyA3G2tp4cjv/0th5NJXkqlWDVjBjPicQLt7YjRKEGDgfxkElNRUcbOBKCkBLGkhGW7dhF95BFSjz+O2tqKT1VJL15Mvtf7rr6qlxKX9v143GR4rLOTnlCI6KxZXPPQQyxYsOBdTYR37tyJpmmsWLECgFdffZWWlhbuvPNOii7h2cGfSn5+PtcuWkSypoY9Y2McOnKE1NSpzLZYME6ApYWLivEiGKPfz6SsLE4eO8YLL7yAz+fjuuuuY/bs2Rw6dIhlN9+MdfJk8hWFPSYTDr+fvmSSxw4coPQ//oPly5ezYMEC3G73+T4iHZ0JifjZz3Jo927CDQ04b7iBqot9daOujtGf/hTvjh2sFARC11zDbf/8z1i/9z2Sqkq4oYHcdJqkxYLt7b59Ph81Bw/SFgoR6urCNjpKoShikeVMikhz84RYpv5zuXSF3bgzdX9fHwf8fubk5HCbLGMsKsqURr+NUCjEvn37WL58OTabjT179rB3716uv/56Jk+efB4O4CLH68Wcm8tyjwdN0wi3tNDo9eIMBqk632O71BjPB5WA68rLKS4u5sUXX2RwcJBrr72Wjo4OXj1+nJvvuIP0736HKxKheO5cvDfcQEVPD62trfT39/Pmm29SW1vLwoULqaqquiha5unoXPCcMgw/fpwlR48S7OnB8thjkJ198aau+HzIf/gDxxoaaAGunj6dSqMRwWqFO+7ArWm0d3fTEQwysnAhd5+q/j11LgYHSfX0IA4NMZpIIEgSbqMRQ3s7OJ0Tz2LsT+TSFXZ+P2ogwOGhIWRVxTtrFsaenvdU+W+++SYmk4klS5bQ1NTEq6++yrJly1iwYMF5GPwEYHwZUNq4kfkOB81OJ42zZtGydSuXRSKsXbsWo9H4wfvR+ciZM2cO+fn5bNy4kQ0bNjBt2jTq6+uZ+bnPYXr4Yd587DE+8/DDFM2ezd+nUmzfvp2dO3eSSqXo6OigubkZr9fLwoULmTNnDhaLJbNjvaOFjs6fxnjTewYG0FpbsRoMnMjOxhuLXdTLjYneXnobGjCUlXHjqlUUFxScibKtXYtQW0tvZSX/8fOfU5tKsa6+Hqm5GbZuRevvZ2xkhLETJzBEIgxLErlZWUiqCsFgpqhkAixT/yVcusLO6yUsCBQoCuGsLEaOHMH+Hv33RkdHqa+vZ82aNQwNDfHMM88wffp01qxZcx4GPoEYXwZ0+v0M7NqFLxJh9eLFvPHGG3R2dvLpT3/6nA4WOp8chYWFPPjggzzzzDPU19cjyzJ//OMfWVldjSAIp5dcTSYTV111FTNmzOCPf/wjAwMDVFdXYzAYeO2119i6dSuzZs1iWSyG57XXMjdevVBGR+eDGV9VQlXpkmXcw8PImkbM4WDMaoWuLmhs/OQFzF84QYvH4zyzbRszRZG5+fnYCgqgt/dMlG18/wuuvprLf/5z1u7ZQ+qv/xrTwABRUSQ4OooYDmNPpUAQmGSx4CwsRMjOzkQx//EfYeHCj+HALx4uaR+7Pf/+7zhefJECm43uQIDJ//IvOG6++R3bPfPMM3R1dXH33Xfz2GOPkZOTwz333IPBcOnq4o+aUCjE//7v/zJnzhwWLFjAM888g9/vZ+3atVx22WX6st55QlXVTK/Z117DuWcP14bDOFSVyQsWvEOcKYrCrl272LJlC0ajkQULFjA0NMTI5s1c/tZbSFYrU2+4AevoaCbdQfe/09F5b44cgX//d5KVlby5eTNzAwHM8ThH02mqNY287GzEJUsyje8/qUnShg1oTz6ZaedVWPgnT9BisRi//e1vCYVCPFBR8c7J3vAw2pNPkvL7kUdHibe0EFEUBIsFlywjqCp+o5GAIFAMxO128qdPx+Zw/FnjmahcsspE0zR22WzM/cpXmFJby55nn2XQbOaat203ODjIsWPHWLNmDU8++SRWq5V169bpou4jxuVysWrVKl577TXmzJnDAw88QF1dHZs3b+bkyZPcdNNNOByO8z3MSw5RFFm9ejVlosjgpk10DQ5irqrC0duL/IMfcOTkSUYsFmKxGLFYjHg8TiKR4MiRI2zZsoU1msZNvb0UDA0xpCjUP/ssc26+Gfv7pD3o6OiQiV653ZiGhymaPJlQQwOFskxNJEJMVRmsrqbQav3klmQ3bCD+f/4P6WgUxenEmUxi+BNe+2xR94W1a/GIIlRWgsmEkpXF0DPP4PjhD1H9foyyjFFVMQHDgJRIYCLTiUIUBEpdLhxZWQRVFfmrX4Wamj8tgjjB00IuWXUyMDBAKBSi4pZbMFZWUhsOs2vXLlauXInNZju93datW3G5XDQ2NpJIJLj//vvPeV7no2PRokUcPnyYF198kfvvv59rrrmGSZMm8fzzz/Ozn/2Mm2++mZqamvM9zEuSmuxsSidP5hWTibFQiO7sbHJHRxFGR3FNnUpBQQF2ux2bzYbNZsNqtdK7dy/2H/yASDpN3G6nUBCwBwL0bN1K1axZmC7h5GYdnQ9kPA9Z2LiRKZpGk8fDrooKCuvrORYMkjs6SuHSpR9/BajPh3b8OGM/+hFCKEQsOxspkSB5/DjWZBLX9u0IJlNGpL3HEmgsFuOxxx4jEonwQGUlnu9/H3V4mJDRyFtTplDn83HL1q3MCAaxqSoGMiJOA0qBGGACJKBcURDTaaKKgmowYCsuhtmzP/zxnJW3iNEIt98+MVqzncUlK+yam5uxWCynveoWLVrErl272Lt3L6tWrQKgp6eH5uZmXC4XQ0ND3HvvvXg8nvM57AmNKIpcf/31rF+/noMHD7Jw4UJqamp4+OGH2bRpE3/4wx9YvHgxa9as0SOmnzReL5a8PFaIIsdGR5mdm4u1vJzqe+99zy+UylCIdFkZmxWFmCxTK8tkJZOMKAqbXS7WZmejT5F0JiwfRVRoPA/Z4PfjikQ4+J3vMCkSYQmQbm5GMZuR3iM3/CNh3BLMX1+Poa0NzWhEiEaRbTbsY2PEGxsR/u7vsBsMSE4nfOEL8H/+D5qmoSgKsViMwcFB/vCHPzA2Nsa1s2aR/t73GDx5klA0iqCqGOvq6DAaUVMpDKqKCCQBKyAAZsZFniCQMhoxm80AmPv7cXu9GNavh0gkc67e7Zzv3w8dHRnhWVhI6ne/I3DsGJ5UCmMkkslThAkl7i7Zb8eWlhZqamoy7b8Am83G/Pnz2bdvH0uXLsVkMvH6668zOjqKIAisW7eOkgkYsr3QKC0tZd68ebz++uvU1tbicDhwOBzcdddd7Nu3j9dee42Ojg4+/elPk5eXd76He+lwysz48ccpaG9n2GKh7BvfeP8vLK8Xo9fLCkFgj8GAb3SUpKqiff7zNMsywxs2cM8991zSrX90Jih1dfDoozAyAjk5f1ke3LgdUbnPx/JkEp/JRJUsk51IoB4+jGSxQFPTRxqx0zSNwLFjpH/8Y/zDwxzo6mJlOo0pFiNuNGINBIirKpKiMASEbDYKwmG0f/93vv/HP9Jot5NOp1EUhYGBAVRVJT8/H9P27cxqbSUEDCsKTk1jqigyq6gIazyO4PcjKgpWMhN9QdNQNQ2/omAxGonk5VECGCWJZDhMuKoKVDUTgRsehhdeOOecqwcOoDzyCEo4TFwU2Zedjb2/H08sRtLtpnTKlIwYfOopuPzyCbMse0kKu2AwyMDAAMuXLz/n90uWLGH//v00bN5MgdFI42uvoWVnc8011zB16tTzNNpLjzVr1tDc3Mxrr73GrbfeCmRaky1atIiKigqefvppfvnLX3L11VezoKAAYXR0wuZKXFCsXYtYW0volVd4tbWVB1eswPJ+24+LwawnnmBqTw8Bj4e6sjJGfD5KSkro6OjgqaeeYt26dacnWDo6FzU+HzQ2on33u6S7ulAFAXNnJ0IgAFlZMDaW2W7atHferz4owuf3U+n1MjZjBlpLC34yAqcwK+tPz7N7l9dKp9N0dnZy4sQJTp48ibGxkZXt7aSrq6mQZUZ8PopHRxG8XnyaxolkkitGRxkWBFxWKymLhexQiKsmT2bm8uWIosiePXuora3lpptuoqioiKz9+/F++9t4nE7yzWZssowxGuXffvazjCD79rcz40qlwGQCm42Ezcax9nbKNI38aBQhOxs1GCSlKGQZDFBcjFpfT+z73yfV24smiiipFGOvvYYzFkPWNAYBrywzeWSEAaORLEEgbjBANJp5XyZI391TXJLCrqWlBUmSmDRp0jm/d7vdrFZVTN/9LsFolDXhMFkPPcRlixadp5FemthsNtauXcumTZuYO3culZWVp5/Lz8/nwQcfpK6ujqb/+3/J9vkoz8rC4PXqFVGfBCUl1K5bxyv//d8cOnSIJUuWvP/2455UtqYmnnnpJcIjI9xcWUlbIIAvFmPr1q2YzWY+vWiRLtB1Lk7OMhBm61bU5maU/fsJAj2ahgUo6ukhffvtOFMpTEYjQm0twte/fuZ+tWFDJmqUSr13dafXi2QyURWNko7FkIxGUkAgK4usYPDDC5NTOWbBIEmLhY7LLuNgdjYdHR3Isozb7Wby5MnUzplDeTKJ1NeHnEgQjEZRzWbedDh4yeOhNiuL6w8dYqHNhqGoCAYHwWbjuq98hUhtLY899hhTpkzh3nvvJScnJ/Paubnw7LPQ3o4llQJFgYqKzHOXXw7f+lbmPJyqlL39dkS7Hfnuu9FiMaRUCiESgbEx7KqKddcu2urr6U0mqYrF8I8LNieQL8sIgkC/yYTBZCLtdlOSTuO85ho8e/ciyTJoGuTnZ875BMr5vWSFXUVFxRnj1FP4fMw7cYK9o6O0RqMsLS9nWnt75sLVv2w+UebMmUN9fT0vvfQSDz/88DkRHaPRyLWzZhF49FHaRkfxKQoLLRZsF7Fh58WEw+Fg+vTp7Nu3j0WLFr1r+71zKCkhv6SERTt2kHjuOSZ1dLBiyhQOT5nC+lSKQ9//PnPtdqpzcnSPO52Li1MiqaMD7eRJ4vn5DAwPU5ZK4REERCAKGDSNSFcX/YKAJEnY+vpo3ruXR2pquCyZ5J72dsyCgDE3F210FGn9esTycqw1NWesnpqaIBAgq7sbLZFATSSIOBxE9u/HvXgxwocRJuMdH0b9frrSaaSTJ+H4cUyf+xxXXnklNTU15OTknHlNnw/1W98iMjJCfzxOzOViptXKgm99i+lXX43wve/Br38NnZ2ZCNu11xJxOvnNb35DMpnk85//PN6zx1VSAl//+pllalkGsxkeeSRz7V95JTz8MADKlCmEXC4SL75IIeDRNJRxURvXNJKAPR7HG4/zmihSJggYDAZsdjtZBgPmZBLJYGCa3Y6xpATDyAiIIva/+Rs4ceKdQnoCfW9ccsIukUjQ2dnJ1Vdf/c4n/X6EcJguWSa/sJCpV16JcOLEhArRXiwIgsD111/PL37xC3bt2nW6P+9p/H6yBIFUbi4Nhw8DsCwnB4P+Xn0iXHbZZRw9epQTJ04wZcqUD/4Dn4/LOjp4SxQ5EImwsL+fHJ+P1fPnY+vr42AwSP799+MIBi9qR32dS4hTBsI9PYwePYptdJS0z4dVFEkARk3DBFiAFJASRRS7HVnTsKRSOBMJ7F1dzA4GkdNp+i0W3MPDMDzMWEcHz/7N3xAoL6ewsJA56TSLtm7FEYlgisUQyFSIupNJpJ4eBu+/n4IPuF5UVaVl506E+npGvF5y8vPxVlSQPTzMvCuvfNfK0sHcXKImE8FJk7Dk5DBn1ixMx49DKAQHDsA118CMGbBnDzQ0kO7upusLX6Bg1ixWffe754q6U6xdizZ1KqnDh1EffZQE0KsoON96C/tzz+Gz2ehXVZ43mzmmKPw/Q0NMTyQYArIAt6YhA0MGAwaDgSJBYN66dWS3tlI6MIBoNCIoClRXw5w5mQhhTw/Y7ZnijoULM4/LL5+wlieXnLBra2tDUZR37e8at9lo6OggP51m4ZIlSAMDl3zPufNJfn4+ixcv5s0332TGjBnnViR7vUQkCfPICOWlpZiGh2kHqrOy0LO1Pn5KSkooLi5m3759H07Y+f2YEwksVVWcaGykPTubwlAIbziM1+XizXgcfyCAQ2/grXOx4PdnLDOGhlBEkQhgU1VcmkbEYsGhKKg2GwZJwllejicSAZsts/wXj1M5dy7z774b4cc/RuvpIRdIWyxI/f2IBQV4J09mJBpF3LqV3OZmpNFRNFlG07SMcAQ0RUGVZV6rr+eGsTGysrLe1cy9d+9edr34ImMDA6zNy+OywkJMFRWZjg8ezzu+4zRNy/RDf/VVPuXxMK28HHNVFezbl4nO/fCHmeXS/HwoLoZAgHRuLo09PdjCYT7V10e4vZ2moSFCoRDhcPj0z2AwyMjICI62Nq48coRum41QXx+LolEkVaUhFsMkiqyWJMxFRVQ4HFgkicFoFAEoBrIMBrwVFYjJJBgMLHr4YQgE3r1g5dZbz1TFnm3HMl6UMhG55IRdc3MzBQUFZGVlnfN7WZb5wxtv0GG1cm91NdlDQ2eWhSbom38xcMUVV3Ds2DE2b97MnXfeeeamVVLC7vJyiru7qU0kkL1e9lVW0njoEDeVlemdKj4BFi1axLPPPsvw8DC5ubnvv/G42WpFJEKn3U6xIFA5dy7V997Ljro6pmVlUVZcfG5rIR2dCxmvN+ODNjZGdnU1w7EYkqJgUFWsubmI8+ZltrNa4YYb4He/y0xaAKZMQbz/fqy1tVBenunEMjSEdWwMsrKo+vu/5/+56y60nh7kf/onQkYjHDqEcWwMSdMwAGkyUTglnab5pZfY1NqKoaKCkpISKioqqK6upri4mMBTT+F8+WXmCQL5NTU41qyBkyczY3mX77hoNMrzzz9Pc3Mzl61cScmyZfDss6T27kVsayPl9SKGwyQCASKjo0S6u8kLBGi1WsmNxXBIEimfj93/9E+8MXUqqVQKyIhFWZaRZRlJksiXJGSbjSqTCfOMGZS1tKC5XKyYORN3URGu/n4+89BD8Otfox44QMznw5BIoAJGWYa2NjSzGWHGjIyoG7eGeUcU7lSE7hLikhJ2iqJw4sQJFr2tGELTNP74xz+yd+9eXMuXk/v5z2dKqCdgiPZiw2Qy8alPfYonn3ySlpaW09XJXV1dvGW1cte//ztdhw8zKMvM+tSnePbZZ/F6ve9cutX5yJk+fTqvvfYa+/bt47rrrnv/jccrZE0/+QmTVZXRsTEcs2bR39zMNlHk89XVCC0t+mRK5+KhpCRjbtvYiNTXR351NYLbnckby8nJiL6zc0Yvv/yMZ9rZVbF33JFZ0jUaM4UEZxnmCqOjGGMx+p1O4jYbcxIJxFgMA6BqGhIgGQx8wemkb3SUwaIijp08yVt79/Kz0VEsIyP8XSiExWzGXlOD//hxpJYWjixZglRaiux2E2xoQDl8GEVRGBkZoaGhAUVRWFJaim94mF/abKSzsvD09zM3GqVrbIzL0mn8gBfoNxpxRSIUh8NEDAZklwtBVans6qK1poZEfj4ej4fs7Gyys7Pxer2n/+05cADp6aehvz9TnVpRgWP69DORxGnT4L77EMfGyO/txQRERRGLy4WSToPTiauq6tz0Df3ecWkJu+7ubhKJxDuWjrZt28bBgwdxOBysXr0az8yZ52mEOu9GbW0tNTU1bN68maqqKkwmE9u2baOgoICaVasYsVjo2LaNO2fOxO/38/rrr5Odnc306dPP99AnNJIksWDBAnbt2sXq1avfWYz0dtauZcxgYN8TT1CVSGB/8knS/f0s1zRK7rkHZs7UJ1M6Hx8fRxupU6a2Tz2FcHYi/rtFjt5LdLxXpAlOR7rLgkGOVFUxbLFQ4PeTGhd3SiJBLJnELcsQCDB961ZmmEx0pdP8zmQiYDSSYzTSY7ViAfpFkfyREVo7OvB5vRhGRykVBHJFkYF0mtZAgKqqKu7Oy6P6wAESQ0MMJ5PUZWezz2JhmtFIQSRCKp2mwGQibTKRTiTolSRKNQ2bwYDN6USuqWGSIFBx2224Vqx4bzujT30qk6N3VlXxOyKJJSUwPEywoQFHPE5EFDGLInJFBemBAexOJ9KfUhV8CXBJCbuWlhZcLheFhYWnf1dfX8+bb75Jbm4usViMyy+//DyOUOfdEASBa6+9lp/85CfsefppqrOyGD16lOseeghBEMjPzyedTjM2NsYVV1zB6Ogozz33HG63WzeV/piZP38+b7755oezPgFMVVUk7HYWDg3RODhIcyzGmtpaxO3b4Yor9BuzzsfDuJ2ImkwiFhW9t/j6c7jrrndPxP9T9vleom880u3auJH58Tj9gkCvx4NmMlGYTJICOhWFgnCYwkgEQdNwGY3MMpn4XkkJ8r/8C6Uvv4xBFDO5cL29qEDN177GqM2G8sorWDZtYrSjg+FUCu/06WCxYHjmGRojEXpUlWJgZSrFzLlzcaoq2ckkDlEETWNE01BtNlJ33YW7txeLqiJUVEA4nFlenjQJPsij8tSxz5797ufR56Pv979nyGQibjJhk2WEWAzj4CCazYYUDuvpG2/jkhF2mqbR0tLClClTTudfnTx5khdffJFp06bR0tLCihUr9EbzFygej4cbrFaUH/6QqKpyrcPB5E99CqZMIT8/H4DBwUGys7O56aabCAQCPP744zzwwAPvyKfU+ehwOp1/kvWJ1WoFv59gTw/HAwEcbjdlixdn7Af0GbfOx8GGDfDtb6MmkwzG40RaWig8cgRbdjai0QgFBRmbjenT/3yR93EuAY5H9GyNjRT99KccbmlhQFG4Ip3GoCi4NQ2D0YiVjLWKqaSEXKcTIRTKLG/efXdmqXI8EibecQfe2bPx+nwk9+2jM5EgUVHBEo+Hq9xuBufNY/iVV0hXVHBNbS1uhwPz8eNE/X52aBqteXnM8XiQ02n2zJrF6q9+larLLz9j/dLX9+enVLzLedy3eTPxgweJlpQQk2W8/f14FAU1nUYqKgKnU0/feBuXjLAbHh5mbGzs9DLswMAATz75JJMmTcJoNGKxWD5UxEHnPOHzMfP4cRoEgd1jYyzPyiL0yCMYysuxT56MzWZjcHCQ2tpaDAYD69at41e/+hUbNmzgvvvu++BlQp0/m0WLFtHQ0MDJkyfftdocMhOr9vZ2tm7dyu7WVhaGwxQoCuW1tXr1uc7Hx6l2UckkvUA0FMLh9yO2txOwWFC8XlzZ2Zh37MhEl97LHPg8E/V4aO3rw97ZSdjlgkQCxWTCHArhBBzxOBqguFyk3z65eo+l3kRvL75jxwjk5jJ37lysJhOphgZ27tjB9OxslpSXY8jJQfP5GItGGenvJ3/ePBZXVzM8OIja0MCqdesyou59XufPRdM0XnnlFX7/+9/z5exsrpo+nR1WK76hIWRJYmT2bOZ96UuwYoUu6t7GJSPsmpubMZlMVFRUEAwG+cMf/kBOTg6XX34569ev55prrjndXFjnAsTvRwyHKVuyhKYtW2iNREgMDfHmf/830UmTaGtrIxwOk5eXR0FBAR6Ph7vuuov169fz1FNPcffKlYhjY3oO18dAcXExxcXF7N279x3CTpZlGhoa2L17N0NDQ+Tl5TFp0iTaTp6kMhxmltGYWbLRZ9w6Hwd+P6TT4PGQFQ6jZWXhHRxEA/olCaffj7W/n4TFQmzKFArCYYT//E8YGoKVK8/7Z7K3t5d9+/Zx/PhxnMEgN+XksDwnh9b8fBIdHRhlmbTTScvYGEU2G/kuF3IwSCIaxVpZmSlAgHdEwmRZZtPOnUw1GJidk4PFZELu6uLE4CCBOXMov+46DC+8gNrURE8wyH6vl8VWKzW5uXT4/URaWiirqSHn7V2ZPqLIpaqqbNq0iV/96ldUzJjB7LVrMbz4IrXDwyjpNEZZpqS+nuzHHssUquj3jnO4ZIRdS0sLkyZNQpZlNmzYgCRJ3HXXXbzwwgtkZWUxf/788z1EnfdjPInYE4sxZ9Ysku3tlM+axerPfAYfmYjssWPHePLJJwEwm80UFBSQl5fH6MaNtK9fT3VubqZq7QKckV/MnOrju+U3v2G0pITsmhpi2dns37+f/fv3E4lEmDJlCtdeey3lra3s+9nPCPl8FFVXI111FVx/vX5j1vl48HozS63pNE7AGYuhms2ELBay4nEcsoxFVYknEnS/+ioYDOSpKlJDA8yaBX/3d+feKz6OAoy37VcuKODYsWPs37+f3t5esrKyWLVqFXPnzsX21luwcSNlIyN0Go1snzePDrsdZ3k5Wf39fDoYxNTcTNzvR9I0TL/4xRkrkHE0TeOVX/2KYHs7xffcg+XIEZTGRk4ODnJ8xgxu+epXsXm9xGpree3xx+kMh7nis5+lZHiYof/v/0Pt6KC0qoqcr3zlo79ufT7SR4+y4803eenwYaonT+af//mfceTmQnEx5uPHiUgSo6KI3WxGaG/PeNfphubncEkIu3A4TG9vL/Pnz+epp54iGAzyxS9+Eb/fT0tLC7fddpvehPxCZzyJmI0bmSTLHBcEDk2ezIorr2QymRy8P/7xj/z1X/81fr+fgYEBBgYGCDU2Mqu5mT5BoHLp0syyn97Z4CNnel8f7NxJ+K23iLjd7CgqorOmhjlz5rBo0aJMr0ifD558krHRUXxWKytrazPu9ddff76HrzNROeu+gdEI+fmIiQRZmoZj3OJDAZKqyuRUCimVIghEw2Hchw6h/td/IZWU4KytPafH6kfa+m58v6mREYaTSXYWF9NUUsKkSZO48847qampOZO7Or7cafX52Prf/83hxkYWfupTPPid7/DEE0/w0rFj3CaKnOzupslqZVEggOGnP83k2hUWgt/Pkccfp+i117g8NxfX6CjKzJlsDwZpnDSJT3/ta3i9XgYGBnj8pZdQ7HbuuO8+SktLafnJT0gNDlKUnY33g3wrz+bDiuG6OpQf/IB4fT3T43H+LieHnHvuOeORaTLhttsJmUxEBQHJZEKTJISRET0/921cEsKutbUVQRA4efIknZ2dfPaznyUnJ4dHH32UwsJC3RbjYmH8pmbw+zEODvL6rl0UnjzJpEmTyM/PR9M0YrEYkyZNYtKkSQBohw/TvmkTI15vJlG6uFjvbPBR4/MhPf00bqeT11tamBGLsdpkwv3Nb2KtqTmznd/PWFcXo1YrNaWlGed7/b3Q+bh5e+5XUxP89KcYbDbEvDwCRiPiyAj2kRFSwKAoEkwkiEWj+Hfs4PGHHiLf4+G2Eyewut1kL1qEPRhE/AsniJqmMVRfj/ajHzE8NMSoxUJWLMYyTeOqr33tfW23DAcOsHz7dpZGo8xva8O8cyfXXXcdz+3fz2goRLfZTGj3bvpNJryahnLkCMbsbCKyTGFnJ2pZGU6vF23/fuKvv05+fj4zvvhF8oeHaW1u5qndu8nNzWXdunW4XC6a6uqIr19PtsOBobwcTVURPszxnyWGVaeTsauuonfaNIaGhvD7/YyMjDA2Noba3c3VW7ZQNDBAWFEwSBKVmoZ148bMUuu0aeD1IubmYjYYsCUSWNNp0okEppwcPT/3bUx8YefzMfjaaxgHB2nUNG699VYqKytpbm6mp6eHe+65R+9ScDExnsNRq2lUDQzw4osv8uUvf5nc3FwEQWBwcJDi4uLTm58YHSWiadS63Qiqqnc2+Djw+yEYJJmbS+zIEQYkiSmpFNZY7JzNmoaGiPv9VBgM5BYU6O+FzifH2blfJSWZCNZ3v4toMpE9eTIcPgz19RhFkXKrlWg0SioYpN1gwNbZyRVNTXjDYUImE+3RKEGPh6JQiI4nnsCyaBF5eXnk5+fjdrvP/T55W7QqEAjQ3t5++uFsb2dxSwutosic6momVVYinTiRMch/N+rqUH/1K9KvvMLMaJSIJCEePgz/9V/kPfII01asoHfvXsoiETyqij0cRhIEjOEwckcHEUnCLUkkfD7G/H5MNhsJoFIUsf30p4xs3EgkmWTFddexZO1ajB0ddLa2cuypp1g6PIwajxM/cQLV6cRVUoI0PinTNI1oNEowGCQQCBAMBkm2tVH26KPEYzEaRkdxh8Nomzfzm4oKhs1mRFHEbDbjcDiYlk6TpSiogkBEFJFTKZwDAwhvvYXlVG707bfDffcRPXgQe3s7tnSagNdL3n336RPDtzGxhV1dHcqGDRS8+SbLJYmshx5i1qxZqKrK66+/TnV1NVVVVed7lDp/BoIgcP311/PTn/6U7du3c9VVV5Gdnc3g4ODpbRRF4ZVjx5h+1VW4Rkbes4WOzl/IeP6juaODyvJyXKEQJ4eHUdvbWTBrFoIg0NjYyNO7d7P6xhvJrqvD0dMDU6fq74XO+WHhQvjyl8/YgOTnw1e/irB9O7aWFmwmE8rSpUSWLsXz9NPEEgnSbjc5QE4kQsLrJZWXx6gg0PHWWyQSCSCT23tK5NV0dlLwxhtowSAh4OCkSRzJy0MQBIqKipg/fz5lCxcSO3iQhXY7ldXVCKesQt5tsuPzwcaNDLe24kwkEAwGLKJIMBrF09iI1NjI4ttuY88f/kDZ66/jSadRNA00DZFMb1mXIGAWBGxAOBJhLJEgy+nElk4TCwTocjopLiggf/9+hJMnibe14TpxglWShCMYJG4yMep2o/r9JEZH2frrX5PMzkYeHCRiNhNyuYBMx6Dpvb1YR0ZQy8qo9HiwWSzk+v1UPPwwjmXL8Hg82O32TBqUzwff+AbBbdswqCpaMokjHCY4OkrsxAmyuroQGxvhr/6KkzfcwJbHH2f27NlYSkv59NSp6KGZc5m4wu7URTA4SIMss6ykhOrGRvD5ODw0xPDwMLfeeuv5HqXOX0B2djZXXHEFW7duZebMmeTn5zM0NHT6+f379zM2NsbMv/s7SKU+nqRnndN5TMl/+zemAgGHg5HVq9l95AjDZjNVVVU888wzTJs2jSW33soGi4Uyu53CW27R3wud88e72XN89rOn235J06YxZbwjQmj1auLNzaQbGzGOjDBqMnHy6qvJmTOHxZMm4XK5GBkZYXBwkFBjI8qrr5Lato0mTePoyAhTnE5qQiGq/vmfmXzllRk/R5+PuieeID5pEteYTB/cUs/vRwsGOTE2xjxAMxqxAdFUilgqhSWdxjg4yEyLhS6LBVsqhYnMkq8KiIDbYiGlacTT6YwPnKpiKSsjfvgwCVEkPz8fMSuL+Ouv02EykTUygjuVQlNVNMCoKBgVhbAkEZckAlu3crmqUmyxIOXno9xzD9Ybb8SyYwdCQwNEInDiBDULF4LZDDk5FF5++Tnmw6fP/333EWlsxNrVhVHTMNjtxGIx5EiEWG4uJYEA/PCHTHY4yE6lMB4+jLGri9jf/z32++7TC+LOYuIKu/HloZ2dncQSCaqWL0dobSU9MMD2N99kxowZ53Sg0Lk4WbJkCQ0NDbzwwgvU1NSwf/9+NE0jmUzyxhtvMG/ePPLy8jIb6yLi42PtWrbv2MHskhLax5dlb5g5k9/97nf09fVx0003ccsttyCKIrHsbEJFRfr7oXP+ebs9x7vZdbjduMJhXJddBllZyPE4hnXrSFssHDx4kB07dmC1Wpk0aRJzR0a47K23MPT1QSTCYHU1fZKE4PHA0BA7N21ij8/HolCIvG3bKOzspGjqVIw33PDBBsleL3GjkXQiQdrpxBoMIgEuo5GIwcC+zZuZYrEgBgK0OZ14g0Hyx6N1wviDSASD08lLlZUcGxri+kgE6+7dOGUZoyCgvfEGPsCTSNAGXK6qRMkIBQUwahodBgNRUSQty8xpbsauaYSMRiwnThA7eZJthw4xa/duzEYj2bNm4Whqgl27YPFiOHvZ9F2KUQ49/DDxV17B7vdTdOwYOaJIAHBHo5BOoxoMhESRSlUlEQziKy8nMDaGXS+IO4eJK+y8XsKiiHl4mJycHMT+fnC7OdTdTSQS4corrzzfI9T5CJAkiRtuuIH169fjcrmIxWJEIhH27NmDoihcccUV53uIlwSyLNMvSSxcuJBZJhNPPfUU06dPRxRFBEEgGo2SSCSw2+0IgoCmaed7yDo6H8zZVbXjqRyG+++nZu1aasj4rfX19dHa2krfvn2EHnuMI6EQQaORWcEgxkOHMHo8xP1+Yl4vPbEYo5s2UXLoEH1AOi8PRzCI9tRTGOfMwfV+wqSkhOMzZhDfvh0tJwc1FEK2WEh6PAwbjQSffZb/29bG7QMDTLPZ6HY4yI5EMGkaCqABEhBPJPD09+MqK8N//DjlikJKFDGoKq5YjEKgVZJwiCKCqmKVJGRJIiEIGFMpHIDfYKDbZmOe309UksDpREyncfb2Yjx6FCkSYTA3l/ZgkPLaWsqjUcQvfOFMVG18RU1OpdCqqzEMDiJs3EgJYGhsZLi3l0gqRZEgMNlqxZ6VBYEAabcbg9GI0WolnEjgMBrp1TSKgkEEvQjrNBNX2JWUsLeiAkXTmAogiiRvvpmtx46xYMECsrOzz/cIdT4iSkpKWLhwIbt378bq9+N76SUaDx5k6XXX4XQ6z/fwLgkCgQCapuHxeCgrK0NVVX70ox9x1VVX8Td/8zc8+eSTrF+/nrvvvhv72BiOaDRzc9dvxDoXOu/TUUEURUpKSjI9qVtbiQcC+KNRCi0W/FYrBfE4C2w22k0mokuW8MW1azH4/WSl0wQKClA0Df/oKNGWFt78v/+X9LRpVFZWUllZSUVFxbktLvfvZ2TvXgby8+lZtozYY48R9HrxlpVhyclhSmcn4WSSEqeTrP5+xgSBIYMBlywT1TSyJYmIIBAVBMrz8ymORsFkwphIEAEUQcChaYiiyImqKpba7dh6ejCkUghuN5rFgpyfT8EXv0jIYEDdsQPLhg1EZZlEIoFFFJEMBgKahl+WcUciWPPyCHR2krTZKDYYcB45kgm6dHYSaWnhpCSRaGujdsoUShoaqGlvZywQQJZlUh4PzvLyzLL1OHG3m7CqYhRFDJqGweHAMDBAIicHq16EdZoJK+z6+vrYYbFwuLycz15zDTO/9CXeaGxEVVVWrlx5voen8xGzevVqos8/j3fLFrQ332SVzUbtqlXne1iXDGNjY0DGT3BgYIChoSGi0Sg33HADHo+HL37xi/zhD39gy//7/zLj6FG8BgMcO6abRetcHHxQRwWfD954A1kQ0IxG3E4nrliM3rw8tlZVIY6NMX3bNkr7+7HY7SBJeE7ZL5lMyHl5GD/zGU4mEnR0dHDw4EEAcnNzqaysZP6WLXgff5xVw8OomkZvSwujwJSqKsqXLs1UmE+ejLWvj9ZwmBGjkUK3m7TNRkcsRk40ildRcBgMGGWZI/39kE5jT6UwALIoYpQkNE3D5nRyx/e+h33hQnjxRdi8GWIxhJwcjPfdR/HatRQDrFoF3d3ktLURjseJhUL0OBz4KisZMxiY3dSEtacH1eGgy2Qi/o1vUOp2E0ul6NI0yvr7qfV6GcvLI7h/PwVjYyRjMXoFgZLcXAodDsSREaiszAjqlSuJHDpE9sAAsYICRtJpskdHSUgSJ+bNY5Y+STzNhBV2O3bswGAwEHA4cCxbRtDpZN++fSxfvhy73X6+h6fzEWMeHmbt6Ch7kkkOCQJXV1djfPbZjHu8fsF/7IyOjiJJEtFolN/97nfMmjWL4eFhjh49ysqVKzPi7uqr6d64ka6+PtR58yhWVd0sWmdi4PeDLGNbuZLYm2+SCoeR0mlOzJvHUE4Oyw8fZiQUYndeHlXRKDnpNNZoFPHU8u6ddzJ53GwdMqb6nZ2ddHR0EHr9dYy//jWpSISIomAECpNJNI+HArf7TLX/ypUUbtnCvrExuv1+Yvn55I6M0AjcOf53miwjAtV+P0dcLgYWLqSqvh5rPI5RkjB6PAgzZ2aqhktK4EtfyhiIv1vhWUkJfP3rCI8+imtkBMlqZUdBAUJpKVNvuol4dzfH9++nt6ODZceO0RaL0aUorFAUlioKoiAg9PeT7XIxaDLhCwYRVJXJ2dlk5edDWxtJh4NUYSGOZBKhs5Pjy5eTFgS07GwaGxspi0YpLChgdGSEWePRwL/4XvJxdRf5BJmQwm54eJimpibKysoQBIHy8nK2bduG2WxmyZIl53t4Oh8Hfj9ZgoB35kw84z9padHNbz8hYq2tFA0Ps+knPyGrrIx7772XLVu2sH//fpYtW4bBYMAYCmFXFIbNZlyplG4WrTNxGLf8kVSV/Ntug64usFq55rvf5cq+PgxDQwQLC4klkwwODBDp7+dYTQ0Fs2dTMX8+pUuWIJ61O6fTycyZM5k5cyYkEqi//S1hIA6kBIFsUSSVSvGE1Qr5+TgrKshxuZgmyxSqKuXLlpHu7ESVZVbFYrjI5NhpZIoosgSB+OTJjKxbx7b8fGbU1+M2GsmfO/fcAgd4/2jlWcvUdq+Xaz0enn76afbs2cPq1at5+OqrGXvpJYY6OjgKzBodRUqlMt0+DAYMBgNCMoklEsEcj+MQRYzBIFoggCLL9LpcmLZtw2C3YwXMgPzZz+Lr6WGuxULOW29RGYtBfz/p117DOHfuX7YK8HF1F/mEmZDCbufOnbhcLkwmE6IoYrVaOXLkCNdccw1ms/l8D0/n42D8xrrQ6cwIBt389pOjro7CX/wCa3c37tJSKv/hH7BYLCxatIgDBw7QunUrpTYbdS+/TGUyyaKSEvricZSeHiT9PdKZCJxdZNHXl+mWcMcdGCsrMY63MrPIMpSVUSGKxL1eRtes4eDgINvq6rDv2sW0adOYPn06ZWVlmRZipyJHNhtYLBhlGRdglCREUcTm8bDixhvpzM1lcHCQ+sFBGiWJUr+fklQKoySRTCRwj7dNU8gUT5gMBnA6qRcEBuvr+fb//A8jhw+z9cUXufOv/gr3n9qJ6SzhZwc+t2oV+195hZ7//m86RkfxpFLk+/3cmJeHSZJIDw2hptOMyTIWWcY0vhsbICoKqqqSNJkQbDZKDQaiJhPBeByjyUTJgQOk5s4l1NTEnO5u4mNj2EdGUBMJOHECHI4/fxXA50PZsIFUMgnl5Zj9/nfvLnIRRPQmnLAbGxujoaGBq6++mu3bt+Nyudi9ezcej4f58+ef7+HpfFy8S/Wabn77CTBe3RYNh+lzuZhfXY3x+edhzhxyS0pYHo+T+sd/pDeVosZqpfzqqzF2dZE8dIhYQQHO++/X3yOdicF7FVm87d4kuN3YvvAFVqxdy3JNo6+vj+PHj3P8+HH279+P0+lkRSLBtIYG7LKMEI2SjMUwARYyy6lJgwGjJFFaV0fVHXfAnXcCcHTyZHaqKkVLlvDcc89xFRDXNCKAAzIiSlWJplJM8XqRvV6SySS1a9eyuaGBfX19rP1LWmzW1SFu3Mii/n7mHD9OlyhyNJXiMlXF2t2NLMugKKiShFsUkdNpxPFxiUAaMGgaaVEkajJhGRkhaTYjKQqBSITCVArxe9/DIYo4VBUhFiOVThOVJLJkGQYGMuLu1CrAB4iwcDhMd3c3PT09RN56i9p9+wgVFpLs60PUNAqCQVofewxmzyY7O5uSpiZyt27FnEggejwXbERvwgm7t956C6vVyrx589iwYQM2m43W1lZuu+22jMO1zsTlfarXdD4mxv0iBwwGjAYDhrKyM0vgwKymJhqGhzGUl7O0ogLj0BDa177Gvg0bCC5dytIL8Kaoo/Nn817Llu9xbxIEgeLiYoqLi1m7di0+n4+T27dj/d//pTWVQrZYmHriBMZwmG7AJop4gIjBgM9qpXRkBB59NLPvpiZyf/ITVjU3Q1MTznicqNWKKMtEZRk3ZNwhDAZCRUXcmZfH8wUFbPnNb7j3+utZXFJC47ZtXOHxYCwo+PD3z1PiqacH1q8nkk4znE7jDYexpNPUJBLIqkpU00ipKiKgKgoGRSFJRszZAXl8d2lAisfpAWJGI1IySUUigUfTMAJKIIBFEEiKIo50mtj4eZElCXMsBiZT5hy/bVlV+8xnGJo9m56eHoYPHcLf2sqQohByufB4PEwuKyNv0iQqVRXZbkceHSVeWIjq8dDn89GxYweWujqGFQWxrIwZqRTGCzRHeEIJu3A4zKFDh7jiiiswGo0MDAwQj8cpKipi+l8yC9G5ePig6jWdj5bxJfACWaZH04i0tuI8tbzq95MYGiKSlUWWJJH0ejH6fAhmM/alS2mORFh6vsevo/NJ8QH3JkEQKC0tpXTWLLSyMsJFRUS7uhDb2hCAqMFAQJaxASQSlLa2EhkdxSgIxP73f3ENDiJ3dmIaHsahKNyWTrMzPx+nLDMpHkfVNBJOJ0MVFZRfcw3SiRNcB7S+/DLDW7aw1GqluKuLyL59eCoqPlw0alw8Kc3NpNvaUIJBhoExiwUlFsOVSmHVNFJkBNup1mbNosg2SaK5sJAbXS7WNjdnuluoKsr4ro87nWTPn8+y7m5czc1oZAShqKpkA4qmYeCM+XJKVdGsVoTbb8/sYONG4rEYIw4H8rFjpHbv5o2lS7Emkyxsb2eOIGDJy8N8zz3Ybrop8zd+P/z61xCNgt0OX/gCxTfemOn64XCg7N9PsLiY+vZ2giUl5IyMXJA5whNK2O3atQuj0cjChQtJtrVhbW3F6vWyZs2acxsz6+jofDSMLzMZjhyhbHSUQDCI84EHoKSEwcFBRlIplpaV0a0odO7axdTaWgxeLxUVFbz66quk0+lMDpKOjk4GrxfhVLeL8nI4ehQSCWqLihgeHMQQCJAFxGU507PVbGbkqafwqyqC348kSXQlk5SKIpNkmc3LlpE1PMx1o6OkrFaKlixBGhgAgwHbvn2UlpTQPTpK7smT5CeT9EoSng9TsT6ehhEbHCRw4gRSNIojmaRIkihKJAiPV74aAdFgyETqVDVjTp6dzdXV1Xx1wwZMJlOmlVtHB6FQiHQshl9RcI+NYdy+nTFNw6Mopw2WIVMEoqoqKSAuSVgdDgY8HrL/+q8xzplD36OPYtm7ly6Ph7x4nNzBQayRCDeMdyZKmM3EXC7cqRS2F15AKywksG8fqSefRHW7KVy5MhPpe+MNOHIEfD6E3l4MsRjZPT0UOhzIXV1QVHRB5ghPGGEXi8U4cOAAS5YswbJjB+Ff/YrPnDiBV5apamuDqqrzPUQdnYnJ2rXs3LoVVzpN1GLhwdWrEYGtra1YlyxhbiKB2++nSVXZmpvL6sJCKkwmFEWhp6eHKv3a1NE5w9sLMaZMAa8Xw8gIBQ4HqUQCJZEgDVhFEcVqpTg/n0g4DMPDJLKz8SoKmtUKqRS3r13L7159lZ1uN3PHxnAPDEB2NqxcCa+/TvaMGYzt2UM4HsdmtRL1+5HnzcNw8uT7R6P8fhgYoKWpiYJQCMVmw5hMklZV1HiclNGIUF6O3enE3tODGgqhKApJQUA2mZiel4cpHIbZs+Gb34T/+A+MR48iWixUWCxEVJUDkQgLE4nTbdHORgBUIG21IptMvOHxIP3xj0z56U+xRyJkh8MUBwKY4nHSySRhSSI5Nkbp2BhWpxO1qwu/ohAAUps34wmFcMViBK1W+lwugpJE4f799LtcZKdSSIkEHrcbSVGo6OoirGkZQXqBRetgAgm7vXv3ArCktBS+9z1am5s5KUnMKy3VvbJ0dD5mAg4HZbNm0XbwIF1dXZjNZlpaWrj1oYcQsrMx+f1kx2JsqqtDee01PvWpT2G32+no6NCFnY7O23l7Th5AYyNCWxvmp54icOIEUb+fsMOBK5FgIBSid8oU5gwOkivL+AWBoXCY/Nxc8rZt4/aWFkKCwPDKlRj+9m/P7PPAAYS+PsomTyZy+DCpRIK0KBI7eRLXB1WsHz+O2tJCdU8P5nQaLZEAMvl/qtuN57rrsKZSMG8eiR/9CFEQSBuNJKxWqhIJOn0+8oeGyDpyBLKyUPPzCZSWEksmqY5Gmel2E43HM7mBnLFqOdWMUAWCgBSJYI1EWDg4SBbQLYrUmUzMTqWYHAhgEgSGRZFWk4nU8DDF8TiRSIQeoFDTcANjQC+QB9iiUQbefJOQ3Y4nmaTPYiE7GCRlMKCk00g1NUiBAGo4DFu3Qm7uBVdAMSGEXTKZZO/evSxYsABrLEawp4f6wUFUQSBr+nTo7Lwg18F1dCYKsixTUFBAVlYWbW+8Qaq/n3JJYsaMGSCKUFJCKXCNwcBLL71EQUEBFRUVdHZ2nu+h6+hcmLw9J+9UlefBg5gVJdO3dbxCdndJCb/2+/m3qVNZ1tSEIxLBpqqYQyHCIyNE3G6s/f0UnzhxbmHZeGTQNDyMcepU+gcGsIyNEcvLw/Xgg++7DJt+9VV86TRZsoxCRkyI49Wu6qJFWM1mNIuFI5KExeFANpspSKVwOxyIySQ9Lhdd//iPJG025EQCQ2cnqXQacyJBSpKQgkEWptOn7VDgjKjTyOTsmchU+wpANZn8vRxBoMjjIV1YiCUUArMZAVBkmbzeXuKCQEySyBvvY006jdFkIi5JDMXjFKoq7nQaXzRKh83GpHgcTyyGCEixGMRi4HDQk5NDoaK8uyXKeWZCCLv9+/eTTqdZunQpAy0tdPf3k5NMYs7KwjwyovuZ6eh8jJzKmzEajaxIJND+53+wpFIsnjoV8fXXz5nNLliwgIGBAV588UXmzp1LU1MTqVQqk2ejo6Pz/owv04q//S3hvj6cFRVErrySA319uHftwhYOMxyPE5MkzCYT+ckk9u5upiQSJKJRck6ezLQJ+9KXMvs7KzLo9HrZ8fLLbHv6aeZfcQXr3iMKlU6n2f7EE9jq6hgFlno8GAoL0cbG8IkihakUNlVFBfaUlbHT5+MKmw2zyYRl9myMfj9oGjNNJjpUlecaG5mSSLAklcJqszFqsaBEIhjSad6efXsqYhcFBoAiMgUZIhnzYhEwKgqV/f0ofj8Ro5HNOTm4k0lKJImsqipMNhuTS0sRsrKgvx+OH8elaRS5XGhAyu/Hb7HwuNNJXns7fx8MIo/vWwDEUIjhwkIMubmZHLvW1gsucCR+8CYXNul0mt27dzN37lw0TeMPb7zB7vJyTBYLUwFBknQ/Mx2djxFFydSxmYeHmXrkCKN+PycNBiRRJPW736H19JzeVhAErr32WoqLizlw4ADGwUEGXn01E4nQ0dH5YNauRfzOd9i7eDFDt95K5Zo1rMzKYpnHgzkSYSwWo09VCVksmcrR0VEs6TSyqoLBkCkIOPt6KynJ5LmVlLDqc58jXFXFH+vrUbu7TxcOQOY637FjBw8++CC/fOYZRI+HK+bMwVtaihiLMaqqSGVlmFatIv03f8Pzc+bwiqIQycqi/bLLqJk8GUcolDFvvuYaDED1ihVUVFczYjQiyzJiKERuIIAhnUYBUpyJ0p1CIGONUkwmQqe+yynSgGQqhaoozM/OpvZ//oclL77ItJdeIus730FwuWBsDPLz4cEHM3mMoRBCKIR55kwm/exnPHLoEF///vcxuFz4HA5aJIk2QSClacixGJNychCPH8+c0wsscHTRR+zq6+uJx+MsXLiQxx9/nFQqxdjs2RyIRJhXXs5l//qvuqjT0fkYkeWMA5UpHEYLBBg2mZDDYQ4NDpLr97P3hz+E2bPJy8s7/bj++ut545/+iey6OkxHj2ZurBeo2aeOzoWG8eRJZjU1kXP0KGosxuJYjBX5+QyFQhgEAY8oYlJVUqkURk3DrWkIsky/wcAkWX7PCJPVauXmm2+m7u//ntE77yRHUdDy8mi/9lp+3tbG4cOHyc/P58vf/S6L02mEJ59ECYUI9/WhulwUTZ5M4pZb+F1vLwOBAGazGYPBwMp/+zdsinJuzuCBA4j9/Vy9Zg09ySRCQwMhQSAoy5SRqYA9uw3aKTQygk4GNFFEkyQM6fTpill1/JHKy8ObnY3X64WpUzPiFTLH/XZPwc9+FhobM89Pm3b63GTPmwcFBVQrCu3RKMLgIMOahhYIYN+8OeOZN306NDW983yexw4VF7WwUxSFt956i+nTp7N9+3b8fj/Tpk2joaEBv9WKpjeA19H52DkVsdOys+kJhZiZnc2oxUKN3Y49P5/pl1+OD+jp6eHQoUMoioIrFGLl/v34wmH2hkLcqCgIF2Cuio7OBce4zYhZlkkMDyNEImQlkyTGxihQVWIuF5ZoFFcymeniIAgIokjSaMQwMEBa0zC+T4RpRWUlU7q7sUejyAYDsqqivPkmwaVLueuuu7j99ttxOBzg86Hdfjs73niDjlmzuHXVKqKCwFOHDuE3mbDZbCiKwj333ENhYWFm52df2+P5fUJLC9m5uQxaLMSSSayiiKppmMhE+AU1E5M7FblLjv80AEgSJqcTYWwMNO20CFREEVUQQFEyEcK3H++75S++231n4UL4whcQ1q+nIB4nYLVySBCYHY0SiEYRsrMz4u0nPyFiteKYOhW3243xqafgqacglYLCwk980npRC7sjR44QCoUAaG5u5vbbb+eVV15hypQpbNu2jaKiovM8Qh2dic8pYXc8GCRYVcWnZRlvdzcjfj/ZX/4yi268kUVnbTs6OkrwzTex799Ps9uNSZbpFQRKgsELLldFR+eCY7zbi+TxoLa1IWkaqiwzIklUeDz4LRZ2V1VxQzRKsquLqMFAnizjVFVQVQ4EAix5n93bf/1rykIhFE0jOX5tl2sa/7Z2Lflf+EJmo3FjYn97O65AgGuvuALpmWfwHT/OZTYbJ+bN40RFxbmi7m3Ely+nJZmkYft2TmzdymqTCSQJfyrFWkkinU4zkEqRxZkCCRgv0hj/t5JOEwsEMIgiZkVBGt/OoKqYg0GYOxfuu+/Pv6f4fMSvuIKt3d2kg0GWrV3LlB/8AMPJk/SazVhCIaxtbQSHhnjtl78kWF7O7MZGVr3xBkZAys7GkkohPfooaNo50cCPk4tW2Kmqys6dO7HZbDQ0NLB27VoEQSAUClFYWIiqqhQXF5/vYeroTHjU7m5yentpGhlh8i23YL/sMkSfj01//CMn02k+fda2kiSRm5tLzmWX0SZJzMzOxlhRwdChQ7hqanBdYLkqOjoXHOPdXpxDQ5gsFmzxOGOShMtiwZKfjzY8jNtsJicri0AySXpkhCGXC28ggKaqpPfvJ/jgg7hvvBGuv/4dDe7l7dtB00gDaBpmoxFJksi3WE5vw8aNBMbGOC7LVFutGH77Ww5bLPQ7nRQFgxTt2MHCs0Xd+LKklp1NRzrNoUOHaGpqIhQK4dy3j+UjIxRbrbjjcYaAYCpFk8lE2GDApmksTiROF0cYNA2JzFKsbDBg1DTCmoZKRtRZAQQh08Hiuuv+/EhZXR2p3/2O3oYGSo1GSr/xDTyTJ5NTUcHg6CjedJqwyYQtkSBqtZJyOBD7+phy9CiiLON3ODCMjmIbHsZhMmEaGUEoL/9EoncXrbBrbGyko6MDg8HA8uXLWbp0Kb/97W8pKysjlUoBUFpaep5HqaMzwamrw/Kb37Bw505wuZi+Zg2UlGAtKWGpxcLzzz/P3Llz3+FVt6u7m7bSUm5KJHBpGiddLl52ubjKZiP7PB2Kjs5FwXhlrOXnPydiMuFJJhElCUUUQZLICoeZ2dsLFgsuj4d4PI49GsWoqgyZzYykUkS3bcNRX4+0eTP81V+dFhpxn4/BkRG8ZKxEVECUZQSXC23+fIaHhuh+9VWy6us5nEhgtlo5OjTEolCIrNxcUmYzPbEYU1MpXv7d7zC3tDB/bIyyXbtIDg8zlEjQXFxMuqaGuZWVvNHYyML2dmw2Gx3Z2RT7/WjDw3Sl0xjSaWYajXhkGZvRSLCoCMPICK5IBJlMVazTYMCRTGKTJNLjS7YykNI0FFlG27IF4eab//Qomc9H/De/ob2tjVh+PjOzs7G8+ipUVCAUFmKvqiLS1kalLJOQJPKuuYYvXnMN4bY23MeOQTqNPZ0mbjBgCwQYkyTiNhuVH6ajx0fARSnstJ4e6n/9a5Jtbcy65Rauv/56hoeH6ejo4LbbbqOpro5JsRjF2tvraXR0dD4yxmfuqixzXFGYJYpYnn8eFiyAkhJmz57NoUOHeOmll3j44YcxGDK3m56eHl5//XWW3nsv7qlTwe+nxGZj8+bNPPHEE9x///26/YmOzvuxdi2GkhJe/NGPuNnrJfT888SHhigOhei3WIhWVlJjNiN2dmKxWhFiMQw2G7ZEgmWynCmsSCaRdu7EODSEoGlEy8v52RNPMD0ep9LppCwczog7TSNqs7H/P/+Tw8XFGI1G5icSaD4fQ04nKwWBLJMJ08AAORYLS6dMQSgthWuvpbGxkZFf/pIxQUAsKaEmlWLKoUMEe3vZ85vfYJckHKpKMieHUlkmJ5EgFQqREgSqBQFF00g7nRhMJnKNRtQlS9DefBNUFXs6jT2RyBRYjEfxRDL+dlYgJcv0vv46gSefZPrf/i1Cb++HLmborK8nfuQIibIyZs6ahcVohObmTLHEHXdgf/xxwj09qIqCZjZj2LAB78GD5BcXZ7p6ZGXB0BDqwACa2Yw6YwZF06ZlKmibmz/2lJOLT9jV1TH2s59RuWsXM4qKmJabiyRJ7N+/H4fDQW1vL8qGDRT19WH8j//QK+10dD4uxnN9lKIiVKApFMK6bx8DTz7J5Ntvp6SkhOuuu46f//znvPXWW6xcuZJYLMZTTz1FSUkJV1555WnzYitwZ1YWjzzyCM899xyf+cxn9P7OOjrvg7O2lvjkyRybORNjVhZ9P/sZRYpCQzqN0N3NsjvvREynsQaD9CkKBZJE9sAALk0jBQiahjY6irZ3L+kvfYkmSULVNE6WlZHV30+RphGKRhnUNMr8fpa++irTa2t5Ki+PR0IhbjabWev14hwcxGezYZYkcgwGDP39xO+5h35JItLVRYHVinn2bMq9XoTt20nEYmxpbERNp7nc7cZpsZA/MIBtbIxQOExc0zA6nTgFgb7JkxmRJPyxGNVDQ5hjMSSPBykQwDZe6asCsqIgkIkynqqmtQAFkQhj3/oWzz/5JMvz88kxGhGMxkw7tbcvQ5MRiHv37mXX9u3clJvL5Lw8JKMRenvP+OHOno2YlYWhtZXekRHKBIHI4CBpvx9TYWEmly47G4xGxPx8SCQoqqrKiLqz9/MxcnEJO58P7YknaGpspFWSWOl0MvzjH3NybIzn33yTpWVljP70p4yNjhLOy4NPKOypo3NJMp7rIw0MUF5SgjsSIWU20xEKsWP9egoKCliwYAELFixgx44dzMrOZveLL2IJh7nt/vsRxXNtNHNzc7n11lt54oknePPNN1m5cuV5OjAdnYuDkpISlFdfZeFbb1Hr8+FQVa6RJPYDvq1bKYvHMQ8NYYpECKkqZjKCzkJmmVUC0DSUjg7KgHsNBo4NDNBUVER2djZ9ssy8RAJrLIYoCEj79zPDaOT3Xi/+0lLmJhKsTaVoc7m48cor0QSB4cZGnq+vx19Swqorr2TyeNeGUZ8PqbubhMXC1AULyCopIb+pKZMvd/IkBAJEJAmb3Y7L4cAWClFjMFC+YgVDhw7Rpqo0Tp3KZbNmUf7CCxhSKdShIZLjx3KqIvbUcSmAwWBgkiSR29DAsY4OcgoKmBaNIu3Zk/Hzu+++04EfRVF4+eWXOXjwIMuuuYbKq69GfOqpTITN7T7XD9dkwpOTw5Cqkvb5iJvNOAMBkCRwOuELX8h45Hm9GSuUjRvffT8fExeXsPP7iQ0M0BwOk5OXR9DhwN3Xx4FXX6V7eJh5ksRgayud6TSLJk+G4uJPJOypo3NJcqpZ+aOPUhQK4a2q4jWPhymrV3NFYSEHDhzgpZdeQhRF7Lt20fz445RpGsumT8e1d++7RtKnTp3KqlWr2LZtG/n5+UydOvU8HJiOzsVBlcmE46WXsIdCDANxTSNHUVgWiaAcPoxsMIAsIwoCw6kUHk1DBOycqSxVyXRtkICkLFMjy5ja2zkJzFYULGTy1tA0JEVhCrDM42Hqww+zqLgY+w9+gCceJ6SqdB8/jgrULl/O/Jtuwmq1MpJO4//JT2BwkEKLhexp0yhYuhRaW1EDAbq9XvYpCisNBrxGIwG7HdlsBpcLBgYwHT9OSVkZWV/+Mu2iyHNvvME1OTkUiSL4/ZjGq2HP9rtTxv+tqSrWdBqzwUCorAyhuZkeSaIoJwdTPH468BP3ennyySfp7u7mpptuYu7cuZkdTZ/+7su3Xi/GnBzyQiFSoRA5sRiS2Qx79sDkyedWv76bb97HzMUl7Lxe+qNRioFFy5bhicXQCgrwlpfzwM03c9vixXScOMHcYJDqiopPLOypo3PJsnYtoaws3ly/ntu/9CVKRkfZunUrd999N+vWrSMUCnHohRdIr19P79gY1kmTKEilUDZsQHqPSPrll1/OwMAAzz77LPfffz95eXnn4cB0dC58KhsbMfh8IMvkCAKjkkQwncYNqLJMEtAEAbcokhQEFFVlt8XCFckkxvFK0lOZ6CLjlabAJFVlhyRh5IxYigF2oxEZqK2tZfGSJZSVlbH+Jz/hsoEBhAMHyC4pIecrX8F6441EIhE2bdrE4ZYWKq+5htVz5uAKBGDrVmhuJhoKMaaqHAiFMFRU4PR6Mezbh1FR0AQBrrgCAgG45x5YuhRHSQk3Av5ly2i029E2bqSCjIjT4LRB8akxa2SEnaaqiLLMZFUl7HDgGx3FNzJCgc2GrauL0J49PNbfTywW43Of+xwVFRVnTvB7+duNT2pz168nrqooqopot2fyiN8theS99vMxcVEJu2RuLlu8Xmp7e7H7fJCTQ/+KFXR3dHDfZZfRGouxp6iI61wuTO3tn1jYU0fnUkYuKGCwoAC1qIgrZs1iYGCAp59+mgceeIDBwUG6Dh1ijsXCaGEh3txcjo+NkdfWxtBzz1Hz6U+/w29SEARuueUWfvWrX/HEE0/wwAMPYLVaz9PR6ehcoPh8eI4cYUTTEBUFpyThlmVkzni9CZDJYxUEsFo5qao8XV3N1KEhCoeHERTldD9WiYxfnJWMpchl4/uKk4nqmQBJEIh4vdgWLODHP/4xra2thEIhyh9+mFnz5uE0m1EkiQPPP09dUxOiKHLttdcyf/7806kXqcWL2bd5M8cPHWJGdzflBgPVK1ZgGxmB/HxCVivJykrcZnPG3Hfp0nO+w71eLyu+8x1Gp08n9vDDmMfGMHFGoJ6K3J16aKkU2GykOzsxhcMUmUy0CQKOzZsx2O34/u3fKF2xgsu/8x2ys/+Emvy1axE0DePgIMNWK7lFRWC3Q1/feV8lvKiE3bFjx6j3eglcfTUrvvhFyM3ljR07KCgoIC8vj5/+9KfkXX012StXwujoeWnloaNzqSIIAqIocuutt/I///M/fP3rX6e0tJT5FRWUTp+O3N7O5NpajMPD+B0OdgwPs+2Xv6SwsJD58+czc+ZMzGYzACaTiTvvvJNf/vKXPP3009x9993vyMnT0bmk8fuRk0lavV6m+P04kkk0RUHjTP/UFGAbLyzIURTGjEZqwmG2qCqf1jTc49udHbUTx//eC6hWKwZNI5VKIakqYVlGzMrC1tWFw+HAZDJRUFBAWzLJpL17KXnrLfwdHYiCwJWf/jQzv/Y1bDbb6SF3dXWx6cUXCYVCOGbM4GQiwY3xOJ6hoUwg5sEHib/8Mla/HwoKzgRm3qU9l7WoCNVmIxkMYlHVM0L27agqqXicrrw8cvPzyYpEmBKNMhKJcNJkoliSuH5wEEMslil6+FOYNg1jdTVFqpoRoRfIKuFFJewOHjyI1+vFWlCAOHcugUCA1tZWbrjhBrZu3UoikeD6669HyMoC3cNOR+cTQezrI39gALGvD9njYe/evQSDQYaHh5kzZw43feUr9Dud8KMfYerowJSTQ9Hf/i33r17NiRMnqK+v56WXXuLVV19l5syZzJs3j+LiYjweD7fffju///3v2bJlC1ddddX5PlQdnQsHrxd/Oo3N42HA7cbR1YXF4SAeiSCEw9g1DbMoIqgqiiAwmE6THY9zZzCIgcwSZoozIkA462cMkAWBhChiiscZFUUGVJWjmsa8cJh5e/cy7/77eSkaZd7atfT39zP8n/+JL5HAXFnJotJSHB0dmQCLzUYqleL111+nqa6OKrcbZ0UFOzo6WPrXf42nqOgc0XbMZsMWj1N6990ZETfe5YJgkJTVSvvChex1uYju2sWt0SjO9xN1p45H0ygxGrGtXYty4ADxwUG6BIHcUIgciwXD2Bi8+CJ86Ut/2ntwKs/4Ey6O+CAuGmHX19dHX18fBQUFZGVlAbB//37MZjNut5sXXniBq6+++vRzOjo6nwB1dbjXr+fyo0dR+/t5saSEo/n5rF69mjvvvJNnn32WnTt34l24kO1XXMG0O+7IFDWVlCACU6ZMYcqUKZlcvEOHqK+vp76+nvz8fObPn8+sWbO46qqreOWVVygoKGDWqd6MejRe5xJH0zSO22xMdTpxSxLR3l5GDQYETcNuMiGN56oJqopgMFCRThMnk0NnHv8pcKaI4uziA4lMIYYSjWIjk6sWA2o1jdzRUUpjMRLf+hbXWCxIHR2MmM0UOxzEZ8wglkjQ2tfHZEXB0dhIl6KwadMmvIcO8Vm/H0MsRuemTdx8553MueyyzAuOX8uyLBNyuegVBGqSSVJ1dXh//GMioRAHBwdxhUJoW7eyZ+5clvv9uCKRc4pABM4VeKcikQ6TCWM0SrSpif5AAIOicJnJRF86zVAgQInXi/GNN97VAuUDWbv2Ey+O+CAuGmFXX1+Py+XCYrGQlZVFOp2mvr6eWbNmsXnzZoqLi7ns1IdER0fn42fcoBhNo0GWKTx+nJqhIZb+5CfkzZsHgN/vZ+vWrSwuKcEai2EsKHjXG5/L5WLlypWsWLGCtrY2Dh48yCuvvEJdXR3Tpk2jpKSEo//5n1SnUthl+czMWPeo1LkUqasj/MgjFB4/TnZxMaYFCzg0NkZFaytZioJZ00iJImlJwppOI6TTCGSqYSEjggxAknN7r8pkRJ0ZSBqNuAWBUDpNQJLIkmXKgXAsRiydJiFJCNEoYz09LCgoIHfaNES7nVQ4TGLnTlLxOIe/9jUOzplD3vz53JRKEZRldo6MUCqKuF99lWfNZvxWK9FolFgsRiqVoqmpiUQigd/vJ39ggJXt7Qx5PIwFgyTMZmpkmSWyzJK+PhKynGkzxrtH7ITxY1KTSZKDg4yoKpbsbApcLqS2NlyqygjQaLdT2N9PzvBw5lz8qSLtEy6O+CAuCmGXSqU4evQoS5Ys4cCBA9TW1nLs2DESiQTpdJqxsTEeeughPQdHR+eTZNyg2FpTg+H4cdoCAbJGR9n06KNw8CD5+fnk5eUxc2AA24YNLBdFJFmGO+5AW7MGTdNQVfUdj/z8fK6++moWL15MQ0MDhw8fRunqYtn27Rwym5l3ww3YxsZ0j0qdS5OzerUGYjGSR44Q3bmTGkVhCDggSZTbbFQlEkiCgCwIGDTttPBROZNLd6owAkA2mVDcbhAEYsEgMaMRqyBwzGIhIUnMiMdxpNOkFQUtnYZ0mmxJIpZIMDYyQmdFBRWdnXhaWzEZjbR5vQyNjTG5vp5QXh599fX4LRYssky6uBjN78cWj2OoqMBms2G327HZbEyyWJAHB7nl9tuxWq2YZJlpqsrll19Ooq2NdHc3Rd3dOLu7z7FtebfI4ynimsaQohBIJCjIz0cqLyfV04MYDmOePx+Xx4NvcJDjP/sZyxKJjBXKRTx5vCiE3bFjx0in08yYMYM33ngDt9vNnj17yM3N5ciRI6xYsUK3RNDR+aQ5y6D4mquuomPnTqLxON7JkxFzc+nv76djxw6W7d5N/9gYjUD64EGEQ4fYtnIlIZfrQ72MpmlYo1Fs6TQNsRhDdXXMmjGDslgMk+5RqXOpMT6hKpg0CeOxY4wlEtiTSTyCgFMQyLbZSEyaRKyrC+voKMJ4u62zq0Y1xqtmjUYiRiNOWcZsNGZaYeXkEA0EGOjuxppKUatptNrtjObk4PD7kRSFZCqFKAjYHQ6qUinGcnJonDOHxnicOQ0NnDSZUBUFW14elt5eOp99lvnhMKV2O6bc3MxA5syh6lQe3Snq6sjeto3k8DDucDgjrMZz2MTWVmwGA0mLhXafj2xNe0d+4ClOHaMAKEYjGAwkHQ5S6TRNhw9jr6/HHgziUlXcLS2IixYhr1uH9vjj1KdS1KxciTeRuGgnjxeFsDt48CCTJk1CG+/9Go/H6evrw2g0ZkqfV6w4zyPU0bkEOStx2N7TQ+306ewqK+Po6CgLq6v54he/iNjQQKqlBUtVFf179hByOJhlMvGphQtJTp2KKIqIoogkSaf/ffbj1O8NAwO4RJHSwUEODQ8TamzkmCgysHcvc/PyKCwsPN9nQ0fn4+OsqlAlK4vRVIrAjh2402ncNhuWZBJBFBHSaYyahqGpiQ6zGbvJRLmmgSyf9nZTDAbUcQuUmMdDwm4nIMsUiCLWSAQtFMKSSGCVZaKKQq6mcVkwSEciwX6vl8vTaWKRCCQShFQVt9GI8/rr0YqLGfR6iefmUqgoDBsMOEMhbC4XlwE98TjRcJjsaBTz4CDBqVORhobw5OdjNBpPRyJFQWA0N/dM56h//dfMw++n/8gRAj/4Ada8PKyDg6ip1Dl5daeikZz1fwPgzsnB8JWvMPjMM1gbGhATCeKCgEGS0BSF3o4O9jc0MDeRoFMUmWwwXNQNDi54YTcwMEBvby/r1q0jEAgAcOLECcLhMC6XixtvvPF0c3EdHZ1PmLMShyWvl+XFxVgPHmTz5s309vZyx7JluPPymK4o9JeVofT0YFy0iGkrVvxpN8viYvj85yl5/HHiw8MYs7NJ3nwzrbEY+37xC6qqqli6dCnV1dV6j1mdicV4VagaCDAqy7xRWEjU7WZVVhbeUAhJUUi7XIxFIhhUFS2ZxGowwLRpaK2tRFQVBfAoCoIgZASgKJKSJJJ2O4ookpozh+EDByjQNGRZRopGmQT0mUz0JZMUaRr5skxRdTVaPM5wKJQRmCdO4LRYeOPgQUa2bUPJyqJtwQKW9/Ux12zGVlAACxeSfPllRvPy6G1pYay1lfJAgOBzzxHbsYNXZswgsGABNbEY806cYNjtJhWLoRQUIJ04kRFWs2dzxO9n29GjXJedTaXRiCKKpyOPImcidGe3FhONRsTcXPjGN3B89avY3W6S//RPpBMJoprGsMFAlslEodvNqlWryFFVag0GDG73BWNd8udwwSuigwcP4nQ6mTx5MgcOHECWZZqamohGo6xZs4ZS3dZER+f8clbisAAsWLCAoqIinnrqKX7+4ovcvWwZJW+9xTy7nXpN40W7nVtycrD8qa+zdi1ibS3Jbdt4+fBhPv+5z/HXbjeNjY3s2rWL3//+9+Tn57N06VJmzJiBJEkfvE8dnQuZ8ShWKBCgORzGMDTE3FAI13/9Fzk5OfCDH8BzzyFGItjTaXyiiFNRkKxWDA0NKMkkLdXVLJ4zB3F4GPbuRU2lENNpBJOJSCSCOxwm1+fDmEwyKEmk3G6KRRFDKoWiquSoKmnA6HTitlgYGRzEZDDgtFg4KQhs7exkaTRKhceDG3A/9BCWOXPOFCAAlgMHKFJViubNQ+7tJaJpREpLcQoCa/1+WrKzGQWGEgnCfX10pNPY/H7MFgutb75J+5YtnDhxgsWLF1O+ahXxn/2MpCzj4FybllNogGYwIDqd8Fd/BV/9amab668n/tOfovj9JEQRu9OJqKr4gYJly7BaLPDUU1Bfn/GluwCsS/4cLmhhd6poYtGiRYiiSCAQIBQK0d/fz4IFC1i9evX5HqKOjs67UFRUxIMPPsjzzz/Pr1paWLNmDQsqKzm8YQOtsRjWV17h5ptv/tN3XFJC7bp1vDowwM6dO7nhhhuYMWMG06dPp6uri7feeovnnnuO119/ncWLFzN//vzTpsc6Ohcd4/l0bckkSVlm2hVX4PD5TretUkIhBisqGJRlSkdHqdY0/ILA5kgEu9nMMocD97RpCBUVkEqBx0PCaiXW2YloMFAdDjNqMpFIJDALAm4gaDIRMRrJSqUoJNNxIg3Y0mnUpiZEv59Rq5VN6TSDs2ax/PhxFFmmdO1arKOj8PzzMGcOzJ595jhOeb01NmLQNNxr1lBot9PV3o7S1YUtHmfJQw9hrq1l6Mc/JruhgaKsLDoXLuSNtjaampqY7nYT272bb8ViNPb382lB4DYyfnxwxrpFBVKCgOTxoNrtKCtXZopHBAF+/3vEzk4sQJamkY5E6C8ro6GqivZvfpPlsoxVlsFkgiuvvCgLJ+ACF3bHjx8nlUoxb9w6IdbailJfT57Xy6233qrfsHV0LmCsVivr1q1j1//P3n2HR3mdCf//TpdGI2mkGfXeCwKJKnoHAzY2rrgk4JJsvGmbTXaT3X03m2x5d/Pm3WTzOuVnx3Zs3GjGYDqI3iRACCQkUK+jrpFmNCrT5/fHSDIYsOlFnM916cKWZh6dKXrmfs45932fOMH+/fuptlpJmDWL/t27ad65k2qtluS5c2/4uAqFgunTp3PgwAFmz55NYGAgEomE+Ph44uPj6ejoGPmdhw8fZtKkSeTm5hJwnckagnDfGEpQ8u/oQKrVojGbR5YH3Z2dGC5coFUiQa1QoA4IgJ4eHDIZPn5+SJKS8JHLkdjt3r1iTidEReE3diwKpxOF3Y7SbickIACbSoXH6UTd349rYACPry+DQUF4urtxDQ7ikkqxWa04DAY6pVJsQUE8HRtL6Pe/j/vPf+aU2UxNfT1j0tORVFRcuS9teMvGhQvw3ntIfHyICg8nzG6nXakkr7KSw2+8wdy5cwmdPh1pZSV+SiV+BQVMSkjgh08/TeyJE7SdP0+nwcA5s5lshwM33qDTB2/pFiXeTF+Zx0N7by9mm413/vEfadHrSbdY+H5BAbb+fixAlEIBUikHbDaSDh8my2TCqlDgu2ABBAV5e9rOni1m7G63M2fOkJSU5C06nJdH1Ntv80RDA3Fjx5JSXw8pKfd6iIIgfAWJRMKMGTOIiori008/Rbp/P48UFREkkzFw7hyDP/85vsuX3/BxJ02axLFjxzhx4gRLly697GehoaGsWLGCBQsWcPLkSQoLC8nPz2fs2LFMnz6dsLCw2/XwBOHOGkpQCvj973FfvIgrIwPZypV4oqI4uH8/sUYjWT09KCwW8HiwOp34qtUsjY6mUSql3OVCv2oV0YmJ3hm7t95CYbWimDQJTpwAhwNFdzf4+zNotzMI9AYG4ggJoVSnI/TkSQZdLhIdDvRuNx7AGhnJjFWrvAGcry9ERDDex4fijg6Mdjv60NCr70sb3rIhkYx0apAHBhL14x/z8pQpHDhwgKNr1zLn4EH6nE4MZjP+FgtLXC58amup6u3FXF1N5sAA6XxRh8+ON6DzHfpvh1zOgK8vHWo1JqUSk1SK3W4nyGRCbbWilEjQAI6hwDa7uxulx0OgVIrU7YYjR2DSJG/yxoULIrC7ndrb2zEYDKxcuRIMBjzr1tHa3ExPYCDzEhIe2DRkQXgYxcfH89fLl9O8dSuNFgs9ISFEuVy0/Pa3JObkILnBvbIqlYqpU6dy9OhRZs2ahUajueI2/v7+LFy4kFmzZlFUVERBQQHFxcUkJyczY8YM4uPjRaKFcP9btAh1fT3Gykr6TSYCDhzgQkcHxY2N5CqVKHp7kTmduAC5nx9+UVFITCbik5I4mJ7OttJSnk5LIzM7G0wm72en3Q7jxmGVyTC1tmI1mVBIJAzq9VTNno00NBTT4CAUFjIAGP38WCKX4/R40OfmImlp8c4cZmbCypVo168npa2NppYWFKtWEfhVn8tX6dQQCKxYsYLzfX0MfPop50wm1IODZPn4ICkqwu504iOVEm234xw6jBxvIWX50JcM77JsgFSKMjaWsIwMeidMIDw7m2aJBMXevahKSlBJJPTK5fja7Ug9HuSDg6g8HmxSKb7+/ngGB5EcO+btG/vee95A9D7rLPF17tvA7syZM2g0GlJTU6G0lJqiIhpdLqZnZ6OIi3tg05AF4WHlZ7WSEhqKXa+npLQUo8NBYlsbne+9R+7jjyPR62/o7zk3N5cTJ05w5vPPmZOVdc2TrkqlYtq0aUyZMoWysjJOnDjBmjVriIiIYPr06YwZM0YUNxfuXwYDmpMn8QQF0ebnB7W1uAsKWLR8OeqBAQwyGRqXC42PDyq5HEJCIC0N2T/9E/MmTMC8ZQsbN27k0UcfZVJGBjz3HO3t7exbt464lhZa5HISU1NJGTuW4LIyfCsqMBUW4ud2UyCVEu/jQ3xQEJ6gICydnUT09l7eEzU6GjIyCGlrY/fOnZzu7uY1l+urk5cuSbhyuVyUlpaSn5/PQGUlC8LCmDjUBi3WYMAx1EUjyG5HjXfp1QO4pVIUQxm/brwdJnrUavpCQ9EMDqLr6yO4qIjgmhrGrVwJL78M+/bhbm4m2GbD6etLr48PMqkUjclEi8dDpNmMj8uFWyajXasl0OEg4De/QRIU5F3KfkCKFt+XgZ3D4aCkpITJkycjk8k4UlZGd1MTiT4+jM3MfKDTkAXhoaXTIdFqyXK7CZ03j5qjR3EbjZh+9zvKN24kKC6OwL/6K3wff/yqd/d4PCNfbrcbiUTCfLcb+X//N/a4OJR6/VeedGUyGePGjWPs2LHU1tZy4sQJNm3aNJJoMWHCBJRKpffGl9QNExePwj01XJBYq6X/9GlMViuxMhm+1dWYjUZsMhlSrRZfqxWP3Y7E1xe++12YPBmZwcBTSUkE9fdT/5//SYTBwIDZTFd7O0k2GwlSKVN0OqyRkRgvXMC/poau0FCMwcEE9vUxzseHwzk5KBUKNK2tqIOCUKrVVyYWREejiI5mSWQk77zzDocOHbp6cuMlf1dWvZ4zZ85QtmcPro4OwjIzSV+yBOmFC+hKSlB7PPg6HHTjXWb1x5scocAb1End3p4ZEsAjldITFIRGrUY7fjz2Q4doaGoiYfly5O3t3lnK73wHcnORtrcjVSiQOxz4hIURmpOD5403cA4OYnM6cZhMGJVKTppMkJ/PrJ4erGlpxD/2mDf2eABWC+/LwK6srAyr1cqECRMoLS3lPz/4gPEJCaxSKlHU1Fx+tSAIwoPhkoLGod3d6LKy6PLxobClheNGI5GdnUjOnmXne++hSkoiODgY4LJ2Y5cK6O1l5r59tLS10eBwkNTUhKy0lOKiIjxRUajV6iu+htsWhYeH89JLL40kWuzdu5dDhw4xefJkpvf347t1KwxvVH8ArtBvOxHY3j90OpDLCaquxqlQYLdYUNps9G7disvpJFyjwVevx9LVhdnPD+1zz+Gj1cKbb8KuXUgGBpjW1YW1spI+mw0XkCiRoNBq6YuLw1RTg2f/fswBAThVKkwhIQQGBpI8cSLyLVsYa7eT0NJCt9OJ/4wZ4PFcM7EgMjKS+fPns3//fpKSkoiPj//ih0P1+OxdXbQPDnIkMhKXy8VCg4FAiQTTgQP0dXWh7+vD7nRy0eMhC29A58Q7K+cGZFIpco8HF9Avl4OvL0q7HV+3G7+gIKT9/aj8/bGPG4dcpfqi0LBS+UV2rtnsXWod+tuWBAej2LgRhdkMzc2o4+MJy8mh58gRlP399EZEgEz2wBQtvi8Du+GkCavVyr/8y78QFBSE7/TpGFNTvZGyONkIwoPp0oLG7e2Evf02U6dO5cy5c/RbLMT29xPl40Nldzc2m43U1FTS09MJCgpCIpFc1pXCt7ISyeHDNOh0qJRK/NLS8G9uJtrXlzaFArPZTGtrKwMDAwwMDIx0rrmUr68varWaoKAgWlpa+PyPf0R+/jzawEC0Y8YQYbOhfACu0G+roQ/ghzqwvZ9ER8OcOUgKCghUKHBLpZjlcnqtVlwBASjdbjr7+5HrdPS63bj+8z+JcDrx9PTgcjjodbnwdTjw8XiolckI8HhQuVwYjUaK3G60AQFkejxIH3kEbUcHkT4+qFNS4NQpQkwm/GtqCDKbqVWrCfH19WaMnj3rTb6YPv2Kv4vp06dTVVXFZ599xje+8Q0sFgum0lL0f/gDg/39VLa1oevrI72sDKdSSZ3bTW1HB3OtVoI8HvqBfiAYsAABePfSOQCJVIpDp0PV00OXTEZbVBSJgKu1FbWvL9KAAAgORpqRQYiPD7hcl6/wZWdffb/ciy96A1WjEcrK4MABlLW1hMXHQ2AgQeHhVx7rPnbfBXYdHR00NTWxbNky/umf/gmHw8HPfvYzdu3aRfTUqXDpFYAgCA+e4f01BgMEBqKzWlk0fz7GkhKaW1vxi41l+dSpSKVSLl68yPHjx4mPj2fChAlkZGR42w8B7XY7zR4PMxMSqLfbkba2EpaSQthTT13xYeN2u7FarSNB3tW+dDodMokEv3PnOGUwIG1vx1elIh1ofPddAmfPJiIigsjISPz9/Udl4oWnqYneP/+ZjrY2/NLSCHM6ka1f7+0hqlSKi+p75bHH4PBhVA0NuF0unBYLdqmUPh8fYu12XB4P0uZmHHI5JqsVidOJzuNhYOjuLrxLmGFDGaPK3l40SiXJAQHEmM2opFJ8GxvxnzULRX095OfjunCBQbkcl1KJymolc2AA5YED3kzYvj5Yswb27oX58xlMTKTL46FVJqOjo4P+/n727t1LQUEBuVFRxLe2omtrw1erZardjsTjQd7Tg1GhoEavR+vri8TpxO3xgNuN1ONBo1IRqtXS19dHV38/gRIJPlIptp4eXC4XvQEBJEyeTHtxMeqsLKL+5V8gJsb7Hr14cSTz9ooVvkv2911m+PvZ2V8EeV93rPuUxHO1y9h7aNeuXRQXF2M0GikuLuZf//VfcblcHDlyhJ/+9KeifZggjCZfmh2yP/kkhxQKTp48iUajYe7cuUilUs6ePUt9fT0+Pj6MHTuW8ePHs3PnTkKLi3msvx9zUxN1RiNRP/kJYS+9dPPjMRhoeu01uo1GdOPGYSotxdjTw0fJyfRptQQFBaHX6/H39x8J8iIiIoiIiBipp/cg6uvro7i4mKL33mPctm00+PoSGR2Nv1rN2O5u1DExIJeLGbx76Ve/gj//GWdzM07AlprKYEODt++px0OI04kD6AO6gTS8M14yQCWTIfN46FIqkQI+cjnuqCh8zWYcQE1QEBaHAyQSLElJTC0rI6C1FfvQXtZBqRSVx4Pczw+5w0FvcjLGzEzU58/j295Op1ZLv78/F8aOxTJ1KqGhobgbG3Fs2cI8iQS1y4WkvBxnXx89cjlutxu104kHqA4KwhMayoT2dnx8femJiMBTXIyvREKzXI5FKiUa0FosKH196bRaqXG7SfHzw18mwyaTofnhD1H9y79c/nzdzu0ED9jWhPsqSnI4HJw9e5bGxkaqqqp4/fXXmTZtGh988AFxcXEiqBOE0eZLpQ+U0dEsBiZOnEheXh6ff/45MTExLFmyBF9fX86ePUv1oUOc+ctfqDGZePpv/gZbRgba/n4u7N7NmYEBvtXUhKS7+6ZOwoM6HUcjI5krkxFpsRA9bhy2FSvwCw/n7Nmz1NTU0NfXh4+PDz09PbS2ttLf3w+AWq2+ItjTarX3bbDncrmorq7m7NmznDt3jurqavRWK/MTE5malIQrLIz2Y8foq6mhzmol7dKN6A/T0vT9wGCA6mrckyZRL5cTYTYT2N2Nv58f/b6+3tno/n783G50CgW6wEBkfX0EOBx4nE7cLhcuiQSbjw/Ex1MzYwb9fX1k7N9Pe3AwpWYzHpeLRLMZTVMTfQ4HEpcLGd7ivwqXC5NMRqdEQpzLxbmBASTl5aR2dCB1ufBERqKz25l78SIliYk4L14kfv9+9NXVDLhcnPL1JdpuJ93hQAHg54c5JoYot5tZcXHIVCqIjASJBHd1NXKZjC6JhGqnE9W8eUySSDhdUEC7REKoSsVYqZRyjwejUkluejqqxkbvc3Tpe/JaM3M343Ye6y64ryKlygMH6Nq/H+PAAI8++yzPPPMMDoeDxsZGFi5ceK+HJwjCnXCVk6ZOp+P555+ntraWPXv28Pbbb5Odnc1iqZRZDQ1cPH+eQaWSqk8/5TepqWRkZBA/cyY1b75Jz65dBMtkNzW7VFRURE1iIk/8wz+A1Qo6HaroaCbhLYrc1dVFcXHxyKqCXq9n3Lhx6PV6LBYLra2tnDt3jqNHjwLePXzDQd5wwDe8X/Ayd2pG4CrH7erq4uzZsxQXF9Pb20t/fz99fX2MHTuWqVOnYisupnrzZuwnT2Lt60PlcFDY2UmmUvnAbB4fdYYyYyVpafQ7HJR3dpLtdiMH/FtaUCcm4mhqQjUwgMTj8S6XBgcjbW6m3+GgR6nEodViU6s5OmkSCX5+TKqqIgAI6+0lKTMTj1KJzGJBZjIh6eqio7sbrdWKzOlEDbjkcvwApa8vURoN/TIZvjYbFoUCq8GAr8mE7+AgYXV12B0OutxuNBIJdpmMTEA+cybKCxeITktDmp0NFgtIpd5s1aFl/sGTJxn8yU9okcspk8uZEB5OQG0tnpAQnCEhDHR3Ezl+PEFlZYyZOZPClhb6o6IIMZvFe/IS909gl5dH39/9HUsaG9HGxZGTloZEIqGhoQGn00lSUtK9HqEgCHdZYmIi3/nOdzh79iynPvuMyj17cDkcdPj7MzkykiSzmcMaDadPnwaDgXmHD1OiUJC5aBE6m827P+w6Z5dcLhcnT55k3Lhx+KWlXfU2er2eBQsWMG/ePOrr6zl37hyFhYU4nU4SEhLIycnhmWeewWaz0draSktLC62trZSWlnL8+HEAfHx8CA8PHwn04ior8d+5E8ml9cFux1LnJcvcLo2G2smTOaxU0lFUhE9/Pw6NhhqTiZ6eHnx8fOjt7eXUqVPYbDZiNBpiw8KIj4xkXmUlzwcFeTePDxemvc83j486Q63FJC0tpKekUGEw0KDRkPjkk0j++Edkra3IQkJgKHmA116DgQEkb72FX2IiUpkMdUgIzrIyZNnZsGEDTf39eAIDiW5tRXbiBM3R0VSkppLW3k64xYLT7aZfocDH6cQN9EulSOx2+gMCsDsc+PX345LJsKlU6Mxm5A4HFpUKuVxOgsNBz8SJRLa3I/F46O3qwtnXhyInx7tfc/h9tHIlTJ7sfYx5edj++Ec0LS2EKhTEZGURNWMGHR9/jLW9nZSBARL9/Ym0WsHPjwCPh5ioKHovXsQ9dixS8Z4ccX8EdgYDrb/7HU0NDTjCwpidlYVy82bIzqa2tpaAgAD0ev29HqUgCPeAVCpl4sSJZLlc9Bw9SmFfHy2trXQZjSTabJyyWjFGRxPd14ef00mNVErD3r0EBQaSATRu2IBmxgwiIiIIDw//olbdl1y4cIHe3l6mTp16XWNKTEwkMTERm83GhQsXOHfuHJ999hkqlYrMzExycnKYPXv2yOzcQGUlXRUVtNrt1DudlJWVcXLTJmYfOIAEcIaGEm4wIPnlLykqKsKq1yOTyZDL5chksmt+Xe3nPl1dRL39NrbBQcpMJiStrTj27KErJIRJPT2obDaMDgctoaH0D2UdR0REkJGRQWZmJvHx8V8sIw8HiBUVD8zm8VHnklJBqro6YuPi2OrrS29CAuNffhkOH/bugQwP/+LCwGCAvXuRuFyow8OhuRl5cLC36H9YGI6kJAZsNjCZUFRVEfzaa2RNm4bvsWN4/ud/CK2tRebxYFcqqY2MRBUbS2t3N5laLZ0zZtDicqGqqSHrwgXC+vtx6XT4ZmURHRuLfOdOggMDvcurp08ToFRS2d9P3+rVpDz++JWz0wYDjo8+4mJ1NVqplJjAQDQWC5SVoZPJqHC78ZXJSFSpkLS1wVNPQWcncZ2dlLpcVI4fT7p4T464LwK7/sZGqgoLaXA6WTZhAj5JSSPT/TU1NSQmJt63+1QEQbg7VJGRhKem8ojdjmnKFJyNjVhtNrLmzKHe6cQvIADfhgayJRJvC6GODuqlUo6VlXmXsSQSJBIJISEhly2NhoeHo2hvp2LDBsbq9TfcS1alUjF+/HjGjx9PT0/PyFLt2bNnCQoKIjs7m4nd3fjv3EmM2YxOLkeRk0O7ry9alwutVEqzRoO9vx9dXByhRiPRvr706HS4XK6RL5vNdtn/X/rldDov+//gpiYmFBVx3m7HZLGgkErJcjrJ7u7GKJXiDAsjTaPh78LDGfje94icMoXAwMCrP8CrtIAS7oFLXgetTkfamjXwy19ijYzEJygI5szxZs9emv05XLft0ozOjAwIDETR0UFgVJQ3cSk9HfWiRd77NDXRJZMhlUpxu93IlEqkVitGiQRbZycNHg81KhUh48cT/9JLRBmN+P/hD97l1NRUb0mQtDTvcrDdDhMnopozh3YfH/KbmnhVIiEqO/uyh9ZTXU3V4cPUyOUsmj0bTWcndHZCcDCyyEiKgbSoKORjxniP//zz3j25RiOtBQVUDQ6S6naLDjJD7nlg53a7eevTT4keHGRscDBqH5+RWjF9KhXt7e3MnDnzXg9TEIR7beiDSrF+PSFGo3c2YOVKEhYtwu12093dTV9mJsrNmwk2GukOC2ObWs3hmhp8W1rIyMggIiKCvr4+ysrKOHPmDDKZjKS6OsaWlRHV0UF4aiodISEEPfvsSFmVK3zFfrigoCDmzp3LnDlzaGxs5OTJkxxbtw7ZwYPIpVJapFJC7XbkJSUEf/ObZCxfTrrNRpZMxvnubiQtLQSnpzNn2rSrlxf50u/2eDyYzWaqqqqorKykrq6Ouro6jp86RXB3NzqFAqVeT4xUik4qxU+pxJqRQXJqKj4KhfcDPzTU+6H/dc+9COjuvUtKBU2uqaFCqeRMfz+xNhu+u3fjmDgRXWjoF7PSw8HghQve/x/elvClgM/+5JN0y+X0HTqE9te/xtXYSIdUikcqRed2E2IyEdjVRUtwMJIXXuBb//RPl0+2uN2XB5A/+ckVFwNznU7q3nuPDRs28J3vfAd1dzcYjRgGB/n1G2+wzOlk8fjxhObkQGWlt7TZa69h+N3v0FutJGdne/e9RkR88XcRHc2E0FBOv/UWZWVljB079m6/Ivelex7Yff7556w9epTF6emsBJQ1NZCeDitXUmOzAd59NoIgCNeaPZJKpej1evTf/jYsXQpGI7E6Hel6PUtLS9m5cyfl5eV0dXURGhqKRqNBKpXi19NDVmkp3d3dNMtkSNvbkf3613xUWIhPcvLIzF5kZKR3Zu/QoSuK93oWLsRisdDZ2UlnZyddXV0j/z0wMEDIUGmHeh8furq7sarVZNrtWOrr2Wa1UgZklZTgY7fT0tfHBZeLyT/9KWqnE0lgIJZly3AvWIDPsWOoNm/GaTTS7XJxODycAzIZZrMZ99BshUaj8WbtxsTgM3s2c9vbCfB4kAYFedtAHTjg/RBWKB6YYqvCVRiNSC0WEmfNQtnaSmtHB35VVRx59106hhJ0QkNDCQsLI6G6mrBDh5BYLNhUKlpnz6YxLQ3bxIlYW1rodLnoOH0aTp8mrK2NpZWVqGw27EolASEh+Eul9A8M4J41C3NEBF2xseR+eQXtWrO6l1wMyOVynnvuOd566y2O/+u/srCrC3NTE1U1NWjDwkj6p38itKjo8tnFRYvY+uab5Pj7E9zZedWtABERESQlJXH8+HGysrLE6h73uI5deXk5P/rRj3A4HLzyyiv4Go1obDYeefFFiI5m8+bNtLe38/rrr9+rIQqCMErU19ezb98+mpqaCA8PZ8yYMairqgh7+22Od3fTbTKRnJBAaE8P+6ZOpS00FJfLhd1ux9fXl3Cnk6UnTyKTSOj29cXHaMTl8bAlJ4dOlQqJRIJMJkOr1RIcHDzyFeZwkLZ2LRKPB6OvL70XLzJotVL0+OMkzJqFUqnE09SEp6uL7rY2gjduxON206NW42cyYbPb+YtCwYsWC3KZDEdoKJEeD2o/P84+8QQh48eTmpqKVCpl9+7d+Pr6snLlSu+S8pdnF0VXidHBYIBf/tIbpEdFQXMzbqDju98dKRLc3t5Of0UFubt2IQF6NRr8LRaQSDi3YgXy+HiCgoLQarVoh2o06vbuRfaLX+Bua8MllaIKD0fudNJrt2OJjkYWFUWBWs3j//iPSENCbmoWt+H4cTq/9z0UMhktfX3o+vpIzsoi+N13vTe45P3aevo0P//ud3l6+XKWPvHENbcC1NXVsfn3v+eZefOIHT/+oZ9dvjczdgYDA01N/P5Xv0Imk5Gdnc20adMoKSnB0N09ssRQU1ND9pfW4gVBEG5GfHw8r732GhUVFezfv58DBw4wKTycrORkJhsMVEokRPX0EBwZyZQlS2jyeDAYDDQ2NlJfX093XR05tbVccLtx4S38mgZ0+vjQn5xMWFjYSEeKvr4+pC0t2AYGqFWrqfLzI6usDJXVikel4mR8PJ8dP07vrl2oVCqUSiX9/f3EdHfzV0YjF1wuPFIpWn9/0n18WJKcTHJjIwaNhkeXLiXAzw9JRQUzXngBz7hxHD16lIMHD5KcnMxTTz2Fr6+v90F/eQlV7JcbHa6ynCpduZLwSZMIv/R2xcU4L1xgIDYWt0SCj0KBqq6OCU884e2wcCmDAU6cwBgejtNkQmu3IxuaJbPHx2MICmKsxcLM/HxsRiO+CQk3dGHg8Xhobm6mac8etJ2dtFsspEmlRAQF4VtZCdu3w+uvf/GezMuj5xe/4JsNDUytqoKOjivHPCS+qoplp07hPnrUe5uH/ILl7gd2eXl41q2j+tgxHuvro/+xx2iJiiIxMZG6ujoaGxsBb2uxvr4+UeZEEITbRiKRkJ6eTmpqKiUlJRw8eJAeqZQZra3ktrUhlclotlqxnD6NKTmZwcFBgoKCCA4OJiI1FfWWLaSZzRAVRYDFgtXhwO7vj9lsxuVyERcXR2ZmJrOsVmLr67F3dWH2eCjJyOBwaCh9jY00WCxUDQyMjKm7uxu1Wk1KSgqzFy4k/fRpwrq7KTOZmBAWRtbYscx68klq/umfiAsKIlCjGVlGtfr5sWX9esrLy0f29n3tUpTYLzc6XE+QrtMh1+kIsFhGZvbQaq++/D5UK8+YlES1xUJ2eDhRZjP4+6OaMAH3yZNIenqQuVyY/PzwHd5Xd61yQkOzxc7AQMrMZk6ePInP0aNMKSsjcmCAhIEB+tVq5Go1OBzezN7h5A+DAdcnn9DW2oozIQGVQnHt32UwINmwgVC9nsr+fsIHBvB5yIto393AzmCA9eupqa6maHCQmcnJWAoLiV+6FIlEgkajwWKxjMzWyeVyYmNj7+oQBUEY/aRSKTk5OWRlZVG8Ywd9Z87QKJXSJJGg7u3F8957nJs2Df+MDLRaLT4+PtR3dVHv48Pjbjf6wUEG1WpKk5LQhIZi7+6mtbWVkpIS9q9Zg8xkolChoEMuJ9zlguPHOZCQgCsigvDISOZERxMfH09ycjKhoaGcP3+ekpISrH5+uJ99lklFRQSdPUt1ayvdej2Zb7+N0mIhbHAQDh2CtDRMjzzCh7t20d/fzwsvvEDaNWrvCaPY1wXp18qMvUYQSGAgrrIy+oCA0FBvogLg39tLkEKBo6sLgoLoHBgg4quKVeflYfvgA0yNjbQNDFCcno5+8mTmDw7SHxpKa28vSVYrcocDk9FIwMyZqJzOL45lNNJRUsKgw8G42NivLow9FJAGZmZiy8+nW60m8iEvWHx3AzujEY/ZTIPDgUKlgqgoVCUlJIR7J4/9/f1xOp3YbDZqa2tFGzFBEO4ouVzOxPh4XGlplKWk0FlVhVwuJ9xkIlQmIy0nhzQ/P2wtLexobsZn+XLkY8cy2NeHRalE7fGQ2N6On58farWa+Ph4orq6SC0poTs0lDCNBrVKRUh3N8rly2kJCWFwcJDBwUEaGxtHVijA21Lx3Llz5HV2kqBQMG7CBJrr6phWWMgZhYLIyZOJHyohUbtoEeuqqtBqtXz7299GJxIghGu53uX3oSDQ/jd/Q1pPDxqpFF591fuz9euJlkqxejyg19NvsTB46hS+wcEjs38Wi4WGhgbaz5wh4q23cDmdmP38iAsK4jmPB+Lj6fjkE5rUauInTkSuUiHt7sYYGUl7YyMpaWmoho7VuGcPyupqct1ugioqoLcXYmKuPtM4FJDK2trQqNXYamshMfGhTgq6u1GTTodNpSKgrw9JaCgNx48Tl5CA79AbTaPRANDT00NDQwPz5s27q8MTBOEhpNMhCw5mnNtNxvLldBYX0y6XY5bLaf3wQxarVPQ1N/OiXI4iN5cqhYKmvj66uroACAwMZMqUKcTGxhITE0Oo3Y703/7tso3tREcT/8orl32oulwuBgcHsVqtI8He4OAgBoOB48ePc7KhgeSAAHRyOcaQEFIjI/G4XHSVlLDn4EFSFizgiSeeuGbBZUEYcQPL7y6LhSCpFMngoPcbQ4GhX1cXx3/3O7KKisgwGHDJZPSmplL67rsUBgXR3d0NQJrVSoZEgmLCBDL0euQSCf1FRezesYNkl4tMrZag1FQwmZA6nSSFhFBpNrNdo2GBRoO7pITuDRtQ+PsTLpUi6+0Fmw1Wr776Y7hkVjLKYqHTZnvoi2jf3cAuOhrDzJnILlxgnFLJaaeTgrg4wgID8cc7YwdQWVmJw+EQ++sEQbjzLvlgUNTUEBkVRfD3vsezZjOeX/yCgp4eev39SddocL3/Pr3PPkvCuHHMmTOH2NjYqxf2vY7lL5lMhkajGbmgHZadnc2jjz5KXV0dJzZsQFFdTVx7O4M7d+Ia6gU6f+lSUp95RpR2EG4fgwH3f/83EWYzMqUSLl6E3/52ZK+aJDqaqOefp7uwEEtoKOVWKzF9fQTt3UvWd75D2IIFxMXFoTGZoKsL7HY8QNuZM7S0teGYN4+kpUvRbN/u/buIiYHVq1GMGUOMQsG+vDzeffddQlpamDgwQEd8PJEpKV+U5hkz5tpjHwo+BwsLyTtyhJjJk9HepaftfnTX1zkvRkXR/fTTtEoktMyejSUwkPfff5+XX3555ARXUVGBRqMhNDT0bg9PEISH0ZeWq3yio5lTXIxj7Fia/PywORyE6fUEtrYyYdmya2bnXet4NzN7kJCQQPxPf0qjx4Pv//k/DHZ30x8YiC4zkzSDYWQmUBBuiwsXkFRWYpNKcapUhKrV3gDswoWR91msnx9lZjNGlYoAlYqwlBSiJRIysrO/CLxMJpg0CXteHi3nz9PtciF94QWe+/GPvZ0hJk264u8iwGDglQkT+MUbb1BsNJIjkZDY34/W3x/6+r4oSvxVoqMJCw6GI0foyMtDO23aQ/v3cdcDu6amJoISEymsrGT5E08QHx/P+++/z5o1a3j55ZdRqVRUV1czdepUcTUqCMLd8+XlKp0OhU5HotsNCQneQOqSPUU3fLybIJFIiFu6lI7NmzlRUYF/SAgzJkzwNlF/iDeHC3eGBPDz86N1YICenh4CwFvypLiYZquV7Xv3MgNIMhpR+PoiPXgQT1oaErvde4ChOokWg4Gm1laak5NJ+8lPiJ0+/Ytf8uW/i6H7OOvqeKGzkyqPB3tHB5E+Pki2bfO2J/vJT67rva4+fpwlBQVoTp6EPXse2rInd7WxmtVqpbOzE7PZjEqlYuzYsQQHB7N69WpsNhtr1qxBYzIhLysj/UvLE4IgCHfV8BKtVOqduZBK78nenR6plGank/CQEFTBwTTm5+NQqx/qzeHCHZCZCWlpaGQywtxuJGYzHVYr7e++S+ePfkT7X/81qR0dpKSkoJDLkQ4MoOrrw1VV5V2y/eQT7B9+SGN9PUUDA6iCgpjn7//VlS2GKmWYTSZKnU7C/PxY3NyMJyCAC8nJ2DIyICjIO/v9dYaOpVIq6Q4L+6LNmcFw+56jB8RdDewMBgMul4vW1lZycnJGejHqdDpefvllQouLSVu7lkfPnSP5o4+8kbwgCMK9smiRt8L/P/+z9997cPW/p6yM2smT8Q8IYIxcjhs4EBKCOzLyro9FGMWio+EnP0EWE4Ov241aoSDI5aK3vp4Sm41QvZ457e2o1Gqkc+fikMvpVKnoUygY6O7G8D//Q11BAc1ASno6iTNnIu/v984sX4O7s5PO6mouNjUR7eOD3eXCx+1mzLRpODUaTg8O0t3ZiWcoUekrDVXd6PbxQSKTeROXhsuePGTuamDX1NSExWIBYNKkSZf9TDc4yPzOTuw2G/3R0Sjl8oc22hYE4T4SHe3dU3cPlj2rq6spLy8n/Qc/4PiiRbS++irBb7zByYAA8sSFr3C7ZWSgiImhPS6OtvR0VBoNiRoNsydOJDo3F6nDAU4ngV1dBGo0uGQyWnt6ONbUhGNggJDISKZERxMZFoakpeUrexEbjUbW5eVhMhgY19xMRGUluqoqfH18UDsc5IwdS6xcTn13N5uPHBmJHa5Jp6NPKkXW3k5kWNhD3Qv5ru6xa2pqor+/n/Hjx6PX60e+39/fz8mNGwmrqCBi4kQyx44FpfLaBQkFQRBGOZfLxe7du4mPjyczM5NtWi39ycnkTJ3KIxIJu3btIioqiqysrHs9VGG0MBqRuFz4TZ1K1dmzKKxW1L29dF64gK9Cgb/FgtzpRFpXh8RsRqtQUKHR4DAa8Z08meBHHoEDB6Cz05vw8OWtCwYDnq4uSpqb2X7uHBEuF9HR0SibmuixWFD5+iKPjASpFFlVFbFxcUhfeokDXV386U9/4tFHHyVLq71mUlKVVoufRIK2vf2rizGPcnctsHO73ZSXl+N0Opk8efLI9woLCzlw4AABvb2MS01FFxSERKl8qKNtQRAecgYDpQcOYK+tZenPfoZEIkEikeDxeACYMmUKzc3NfP7554SGhhJqt4v+r8KtGyr2G+Fy4TdjBpw+jayxEZXRSK9EwoDFQn9AALakJJJ7eggcHGR+RgYFdXVsKy/nUbebSKnUOzEzf/7lWxfy8nB89BEt5eW4HA7mr1jBpGXLcJw6RXFkJL5SKUljxniDwldegbAw0OmIjo7muwMD7Nixg6L/83/wa2kh3NcXWXAwPP888iVLkO7fj/Pjj/EpLCQ4PBzJggVftCd7CN21wK6zs5P6+noSEhJIS0vDYDCwY8cOWltbmThxIgsWLEB9/Pj1tT4RBEEYrYY+AJVFRTwbGUlYSQksWoRUKh0J7CQSCcuXL6e9vZ3jv/wlywcGvPuZhs+bD2EmoHAbDCUMSdavJ7C11VvC5Ac/QDNmDLS343rzTWwJCSh9fZFLJFBUBKtXMzEsDMl3vkNJcTGN0dHo+vtx/d//y9GKCiyBgWhMJqbt2YPb6WQgKIhMrZaAhgbKzp/H0dqK2seH+KlTURqN3vdwZuZln/1qtZpnpk6lZ+1aWvr6ODE4SFBzM5SWUrh5M5OLinA6HAzqdKRERkJhoTewe0jdtcCuKT8fTU0N8xYvZvv27RQVFREREcG3vvUtoodfwNtQ+0kQBOGBNZTZ19TQwHmHg6luN62/+x2Gvj56L1ygrbeX8319uCMjkUqlTI6IwPGHP1Cu0TBm0SLvvqaHvAG6cIuu9TlsMCALDkbd0wNqtXdVLSICpk9HbTQyOS2NCzU1hNTVofXxQWa3Q28vrXPn4ldTQ5iPD9KYGAJ9fJCoVBiKijiqUDDxqafIrqlBWl//lRM6ku5ugmUytAsXEtXXh9vhQF5TQ1BKCoG1tfTHxhIWEYFCJnvot3HdncAuLw/F//7fvFBXR+Abb9A5fjyPvv46EydO9BYsvNRtqP0kCILwQBpqaC6Li2Ogvp5jdXUk2e00/OEPzKioIFgup3/zZo5HR3MyIACdwcDTra10JyQwZjgT8CH/UBNug6t9Dl/SoeVqq2oqtZqsgQGMUimDLhd+cjmhFy7g8/TT+E+ejHbjRmSnTuEELD092LRa5j/7LGkLFngvaL5uQmdomVja2krQcKu+mBgC582DykqC3W6QycQ2Lu5GYHdJnZp6X1/mBwXxjNOJIiLCWxdKEARB8Br68Ipzu1n5zDOYL17E0t6Our2dNqmU9qAgojwe5nV0EDZ3LqFLljBuyxb8NRokbrf4UBPurGvN5kVHw5w5KAoKCNZo6He5qAsMhKYmjnz0EYNqNctragg2mXABCqmU2NhYlGlpX9z/6y5ErhVYTp7s7XYhtnGNuPOB3dAV6KyVKxnX1+dtESKuKAVBEK50yYeXb0MDvhERhC9fjm3XLsLCw3G43QT4+eFnMDBh6VJvGZaYGPGhJtw91wrCHnsMDh9GOTiIMi6OIIsFNxD9gx8w0NSEurSUfq0WtUyGv06HrL39xuOAawWWYhvXZe58YDd0BSppaUE7PH0qrigFQRCu7ssfUoCqsJBQh8O71NrcDFrtF+dQ8aEm3A+io+HVV70XGUM17KQrVxI4ZgyBgYEQG0ug2/3Fe/hm44BrBZZiG9cIiWc4zepOGuoFh9kssrYEQRBulDiHCg+Ka+2XE+/hu+buBHZwfZsjBUEQhKsT51DhQSfew3fF3QvsBEEQBEEQhDtKpKUKgiAIgiCMEiKwEwRBEARBGCVEYCcIgiAIgjBKiMBOEARBEARhlBCBnSAIgiAIwighAjtBEARBEIRRQgR2giAIgiAIo4QI7ARBEARBEEYJEdgJgiAIgiCMEiKwEwRBEARBGCVEYCcIgiAIgjBKiMBOEARBEARhlBCBnSAIgiAIwighAjtBEARBEIRRQgR2giAIgiAIo4QI7ARBEARBEEYJEdgJgiAIgiCMEiKwEwRBEARBGCVEYCcIgiAIgjBKiMBOEARBEARhlBCBnSAIgiAIwighAjtBEARBEIRRQgR2giAIgiAIo4QI7ARBEARBEEYJEdgJgiAIgiCMEiKwEwRBEARBGCVEYCcIgiAIgjBKiMBOEARBEARhlBCBnSAIgiAIwighAjtBEARBEIRRQgR2giAIgiAIo4T8Xg9AEO4KgwGMRtDpIDr6Xo/m7ngYH7MgCF9LnBpGNxHYCaNfXh6sXw9mMwQGwsqVsGjRvR7VnfUwPmZBEL6WODWMfmIpVngwGQxQXOz99yocDgednZ3UHT1K+xtvYOrpgfR0cLu9Z7Vr3G9UMBhwr11La0sLrpSUh+MxC4LwtQwGWLvWTWdnFwEBzXR1GXn33T7Ky/vweDz3enjCbSJm7IQHT14e7rVrcRiN2FQq2ubMoSk9nZ6eHkwmEyaTib6+PgDC2trIOXuWCqmUp+Pj8Y+KgvJy7zrEKFyDGBwc5Oy2bcj27+e8w0FEZyeLFyxAUVMzah+zIAhfz2KxsHt3OadPazAaj6NUyomNTaCrS8/vfneEmJhugoKCCAoKIjg4+LL/1mq1yGSyqx5XLOvef0RgJzxYDAYG3nuPqooKWqVSQp1OqK6mdvly5PHx6PV6kpOTCQoKQqvV0l9RgfnoUZLsdmQAzc3e9Qed7l4/klvzpbNpV1cX+fn5bN++HXNZGX+tVPJIWhp1NhvGkhLCIyMf/McsCMIN8Xg8GAwGTp48yYULF+jr0yKVTkOtTiEqSkJCwgxiYuy88IIPSmUHPT099PT0UFlZiclkwuVyASCRSAgICBgJ+Ib/PX8+jN27tfT3y8Wy7n1EBHbCA8Xd2UlrRQXVVisBWi0JubkEtrUx4amnIDv7stsODAzw6aefEjFlCmnnzqGqq4PgYO/Z50G+tBzaJOMxm7FIJJxOSmKHzUZ9fT2BgYE8+7d/yzQfH5SbNyO7eJGOri5CfvhDZA/yYxYE4bo5HA5KS0s5deoUra2tBAcHs3jxYpRKJa2tpRgMM+josJKcLOWll3yZMycJSLrsGG63G4vFQnd3Nz09PSP/trW1ceHCBTo6lBw6NBe3u5HUVDUORzLr18vJyHiwT6+jgQjshAdKSXMzbo+HhRkZlPf20l5UREBa2hWzUR6Ph23btuF0OolYtYojwcFM+OY3Qa9/sM86BgOsX89Afz8VViuuxkZ8zp9HNWkSCxcuZMWKFURGRnpvm52Nb3U1+7ZuxRUWxvh7O3JBEG6zLy+DmkwmCgsLKSoqYmBggJSUFF566SWSk5Pp7+/nT3/6E8uXx6PTOdm48Qg/+UkiKSm+Vz22VColMDCQwMBAEhISrvj5yZNWKis9hIR0UVtbTVSUnIGBZLHj4z4gAjvhgdHX18fu0lJmr1hBYGMj2TYbF7u7OR4dzayoKCSX3PbcuXNcvHiR5557js7OTlwREUhycu7V0G8fo5GBtjaOdnTQ0t5OdEQE0S4XLz7yCGNefBGp9JJ8qOhogqKjCW9pIT8/n5ycHCQSybWPLQjCA+OL7FYPEomF5OQzqFRHUKlUjB8/nsmTJxMcHAx4L3S3bt2KVCrl0UcfpaOjg/DwdoKDB4CrB3ZfJyrKh/BwcLtjSEyEc+c6SU/vR6fzu42PUrgZIrATHhh5eXlIpVJy/u7voLsbH6MRP6ORz48cQXbiBDNmzADAaDSya9cuxo8fT2ZmJjt37kStVt/j0d+ioUvz1sZGmg0GFGYzEo+HOLmc+AkTUM6dC9KrJ7lPmzaNNWvWUFtbS1JS0lVvIwjCg8NggI8/dmI0djMwUE13tw8GQxj/63+tYNGiDJRK5WW3P3v2LJWVlbzwwgv4+fmNnA8HBwdvegzR0d5dLevXg8kUjVrdR2joASIilgFXT7QQ7g4R2AkPhPr6eoqLi3n88ce9JyW1GqKjSQVmeTzs27ePSLebWD8/9uzbh0ajYenSpYB3r52f3wN8FTl0aW5pbqa6tpY6mYwxWi3ZFgtRMTEov/nNr1z7iI+PJyIighMnTojAThAeYMPJEJ9+WsXp02FYLKdRKGRMmjQFtzuV6GgJX4rp6OnpYffu3YwfP560tDQAfH29s3QDAwO3NJ5FiyAjA4xGCQ5HEDt2FFFQEDxykS3cGyKwE+57LpeLHTt2EBMTw/jxV+4UmzdvHuTl0fvjH9OmVJI+OEjM3/3dyFXrwMDAgztjN7Snrs9iYVtVFWEOB/MzMtD85Ces3bQJ7UsvkTBr1lceQiKRMG3aND777DPa29sJCwu7S4MXBOF2GBwcpKSkhDNnztDR0YFEEkNwcBQy2RiSk32prOwnKqqd4OAwuGRTisfjYcuWLajVapYsWTLy/dsxYzcsOnr4ujIco3EqBw8eJCMjY2QZWLj7RIFi4b5XUFBAV1cXjz766FX3iElbWpjT1obDbudIRwd6nY6QAwdGCvI+0IGd0QhmM/2BgSh9fJjy5JNE+/vjFxREe3g4lsDA6zrMmDFjCAgIID8//w4PWBCE28Hj8dDQ0MBnn33Gb37zG/bs2UNISAirVq3i5z9/hezscnS6YGSyMURGRhAUtJeLF/MuKzRcUFBAQ0MDK1asQKVSjXxfLpejUChuecbuy+bNm4dGo2H79u2i4PE9JGbshPua2Wzm0KFD5ObmEh4efvUbGY1I+/pocrvpGxig0elEazAQMJSe1d/f/+Auxep0EBiI2mQiJDgYWVsbBAaiCA+/oROzTCYjNzeXAwcOsGDBAvz9/e/wwAVBuB5fzmwdGBiguLiYM2fO0NXVRXBwMPPmzSM7OxuNRgNAdXU1ev1Z/uu/JuLrK0Gni6C5OY1du3YxODjI8uXLMRqN7N+/n6lTpxIfH3/F71Wr1bdlxu5SSqWSRx99lI8//piSkhKyv1SCSrg7RGAn3Nd2796Nj4+Pd7n1WnQ6msxmVF1dzJ49G0V7O9UdHfSeP8/MMWOQtbaiMxi8Z9AHLQ9/aIey39q1hHZ30xsQgPq11yA6GrVafUNX3BMnTuTw4cOcPn2a+fPn38FBC4JwPS7NbJVK+0hLO4dCcQiAjIwMHn30UeLj469YqcjPzycyMpLc3CiGfxQdnYuvry9btmxhYGCAnp4etFotCxYsuOrv9vX1ve2BHUBKSgpjx45lz549pKSkPLirJQ8wEdgJ962qqiouXrzIs88+e9kywpe1ymRskEiYGhBAssOBNCmJi9nZbK+txfKTnzD94EFiS0rg0KEHszT6okVIMzKo+/BDSn18eHZo/Dd6Yvbx8WHChAmcPn2amTNnXpE5JwjC3TO0fRaLpY+WllP09QXS2BjMP/zDMhYtyrhmQNTe3k5NTQ1PP/30FQHfuHHj8PHx4Ve/+hUmk4nf/OY3KBSKqx7H19f3ti/FDnvkkUf44x//yJ49e3jyySfvyO8Qrk3ssRPuSw6Hg507d5KUlERmZuY1b+dyudi8eTMF/v4M/PSnyH7xCyT/+q9k/vCHPDttGprt2zF2deFJSwO323smHdp790CJjkY3fz7lfX04HA6AG56xA8jNzcVqtVJcXHwnRikIwnUyGqG52YLBcIru7k7U6h6USj1hYZlfOctVUFBAQEDANc+Lfn5+aLVadDod+/btu+Y54k4sxQ7TaDQsXryY4uJiampq7sjvEK5NBHbCfenYsWP09vaybNmyryyqe/z4cS5cuEB8fDw5jz1Gf3Iyp1paePvtt9n54YdI+/qQx8YSGBwMUVFgNnvPqA+gpKQkXC4XDQ0NwM0tpQQFBZGRkUFBQYHY3CwI95DL1UFnZw0KRRyPPfYE/v7p9Pe38Nlnb7N79256e3uvuE9fXx8lJSXk5uYik11ZK87hcLB582bS09P5xS9+gclk4r333rvqse7kjB1ATk4O8fHxbN++feRiVLg7RGAn3F8MBkyHD1O8YwczZ85Ed63G9QYD3QcPUrR1KyqVCq1Wy/79+/nNb37D7t27cblc9KlUhCQlMS81FYnbDc3NEBh4RfuxB4VOpyMgIGDkCvhmZuwApk+fjtFopKKi4nYPURCE69Db28uhQx8xY4aBhIR46ut9iI2N5pe/zGDp0rGcO3eO//f//h9bt26lu7t75H6nT59GJpMxceLEqx53//79mEwmnnzySaKjo3n11VdxOBy8++67GL90QXsnZ+zAW2Zp+fLlWCwWDh8+fMd+j3AlscdOuH/k5eFZt47u4mLmAvG5ufT09ADe1P/hGSb5wYMoN2+mrbiYHKsVg58frTNmEBERwZIlSwgNDWXDhg2ETZxI4hNPIN+yBcrLvUHdypUPXgLFEIlEQlJS0i0HdtHR0cTExJCfn096evrtHqYgCF/BZrPx8ccfI5FI+I//mIPZLLskK9YHmMf06dMpLCwkPz+fs2fPMmbMGKZOncrp06cZP348Pj4+Vxy3rq6OgoICHnnkEUJCQgDvxeCrr77Khx9+yF/+8he+8Y1vEBERAdz5Gbvh3z979mwOHTpEVlbWtSsbCLeVCOyE+8PQTmJTdzenenuJkUqp/a//4lB+Pr0BASM3C+jtZc7Bg3QbjTQD8XI5K2w20v/qr9Dn5NDR0cH7779PQEAAq1atwkethpycy+sJPMCSkpI4e/Ysvb29t5TVNm3aNDZs2EBzczNRUVG3eZSCIFyNy+Vi48aNmEwmXnvtNfz9/fH3v/K0pFKpmDFjBrm5uZw7d45jx47xb//2bxiNxpGOOpeyWq1s2bKF+Ph4pk6detnPAgICeOWVV/j44495//33efHFF4mLi0OtVuNwOHA6ncjldy4UmDFjBqWlpWzbto3XXnvt8n7Wwh0hnmHh/jBUiLfWZsPmcJA0axapYWE8t2ABq1evZvXq1bz88ss8t2ABQVIpPWo1+tBQ5HFxpISFoZdI6OjoYM2aNSNB3cgG5OhoyM5+4IM6gMTERCQSCbW1tSMn5pvZv5Kenk5QUJAoWCwId4nH42HHjh3U1taycuVKQkNDv/Y+crmcSZMm8f3vfx+dTkdgYCCbNm3i/fffp6amZqjFGLz5Zj5tbXJWrFhx1T3JarWaVatWERUVxYcffkhFRcVtayv2dWQyGcuXL6elpYVTp07d0d8leInATrg/6HR4AgJwNTURoNGgs9nQREURnZ1NQkICCQkJxMbGcr6lBZPHQ6paTaBGg5/ZTFBcHF0eD2vWrMHf3//yoG6UUavVREREUFNTc0snZqlUytSpU7lw4QJms/l2D1MQhC85duwYRUVFPP744yQmJt7QfWtra1GpVPziF7/g+eefx2638+GHH/K3f7uTV15p4K239FRUvMDp09prHkOlUvHiiy+SkpLC+vXraWhooLc3gMJCxx0vFBATE8PkyZM5cOCAON/cBWIpVrg/REfTMX8+jhMnSHA6kUill+2HGy5rcqG1lW+8/jqWt9/Gv7mZgJgY+pcv5728vFEf1A1LSkqiqKiI3NxcwNvvMfA6W4tdavz48Rw8eJCTJ0+yePHi2z1MQRCGnD9/nv379zN37lxycnJu+P75+flERUURGxuLRCIhLS2NEyca+bu/68NgqECjMdPQ4OB//a8WCgrOEBnpxtfX94ovtVrNhAkTGBwc5I9/rKCsbCLl5T5ERt75Ep8LFiygvLycHTt28MILL3xltQPh1ojATrhvnNPrOTV7Njog46c/RZ6UBHiDuk8//ZTKykqeffZZdJGRrDl5Et+BAR558UU2lZej0WgeiqAOvIHd0aNHsVgswM0vpSiVSiZNmkT5vn3MDQpCGRExKparBeF+0tDQwJYtW8jOzmbOnDk3fP+2tjbq6up45plnRoIhiUSCxxPMwICV1FQNSUlZuN1QU6NAr09Dp+tgcHCQnp4eWlpaGBwcZHBwEJfLBYDZ7M/58xPo7+9DKq3Abh/H+vVyMjLu3ClApVKxbNky1q1bx4ULFxgzZsyd+UWCCOyE+4PH46G8vJygsWPp6OpCGhsLgNPpZMOGDdTU1LBy5UpSU1MpLy/nQm8vY8aMIe/iRfz9/Vm9evVDEdSBN6tVqVTS0tICcEslC6b19xO8dy+9p06hT0x8MDtzCMJ9qquri3Xr1hEbG8vjjz9+U7NU+fn5BAYGXlaQuL+/nwMHNuLrO4XIyEmEhSlpboakJFi+POSqwZnH48HhcDA4OEhhoYOKCh90uk5aW5tpbj6FVJpJV1cg0dF3biYtPT2djIwMdu3aRWJi4sh2EuH2EnvshPtCe3s7PT09xA4FdFKpFIfDwdq1a6mtreWFF14gNTUVgOaTJwmsr8dZX//QBXXg3VAdHx+PwWBAKpXe/OZngwG/bdvw9/Oj3OPB43I9uJ05BOE+09/fz8cff4xGo2HlypVXLSj8dSwWC6WlpeTm5o5kk1qtVj766CPU6m5++tNYVCol5eXwpd0rV5BIJCiVSgIDA0lL0xMZqUGhSGDixCl4PBEYjbUcOrTpsrp5d8LSpUtxOBzs27fvjv6eh5mYsRPuC+Xl5fj4+BArldLc1oazvp51x45hMBh46aWXSEhI8N4wLw+///t/ea6piSi5nKRnnvGWNHnIJCYmkpeXh1KpvPnAbigT2RYSQu25c0yYMAF1Y6P3+2JJVhBumsPh4JNPPsHhcLB69eqr1p27HqdOnUImkzFhwoSR465du5aenh5eeeUVwsICmDLlxqs5RUd7g8D166G2VkliYgIzZyoxmY7wpz/9iblz5zJt2rSbCka/TkBAAAsXLmTHjh2MGzeOuLi42/47HnYisBPuCxcvXmTG4CBRb7/NrKoqGi5cQJGUxDd++csv/vANBrr++Ee6OjuxRUeTlpLiLT6ck/PQBSJJSUkjHTZueilWp4PAQPStreB201dZiTos7IHtzCEI9wO3282mTZvo6OjglVdeQavV3tRx7HY7hYWFTJgwAR8fH1wuFxs2bKClpYVVq1YRFhYGeE99N3P6W7QIMjIuDQqjsNu/y6FDh9i/fz/nz59n+fLlRN+Bc+ukSZMoKSlh27ZtvP7663e0jt7DSCzFCvdcd3c3g1VVZJWW4nI6KXO5GOzv5/HBQeKGrhidTieHN2+m/NQpHKGhLH30UeRxcQ9079dbodfrCQgIwGKx3PyM3dBlu1yhIMnhwNzb+0B35hCE+8HevXupqKjg2WefJTIy8qaPU1xcjNVqJTc3F4/Hw5YtW6itreX5558nJibmtoz1yyU+lUolixcv5q/+6q+QyWS8++677Nq1C5vNdlt+37DhdmM9PT0cO3bsth5bEIGdcB8oLy9HY7MRAFRYLMgUChJnzULjcoHRSFdXF++88w6fHjgAAQEszsxErVI98L1fb8Vwe7Genp5b6/e4aBGd3/seeydPZvukSTjnzbt9gxSEh8zJkycpKChg2bJlI3uCb4bH46GgoIDMzEy0Wi07d+6ktLSUp59+mqShagF3UkREBN/61rdYvHgxRUVF/PGPf7ztvaVDQ0OZOXMmR48epbjYSHGx2N57u4j5T+Geu3jxImGZmVja27HX1xOZkoJ/by+egADKWlv5fPt2zGYzqqQkwhcvxu/MmVHR+/VWJSUlMTg4eOubnaOj6U9OxqlS0dTU9MV+RuHuMRhGTdu7h1V5eTm7d+9m+vTpTJ48+ZaOVVlZidFo5Mknn+TgwYOcPn2axx9//LLM2DtNKpUybdo0MjIy2LFjB2vXriUzM5OlS5fi7+9/W37HrFmz+PRTM9//fhfh4cEEBkpEYv5tIAI74Z6yWCw0NTWRtXQpu86cIVQmI10iwel2cyImhgMFBcTExGC325kyZQrJjz4qPgSHJCYmEmq34ygs9D4nN/lcKBQK/Pz8kMvl1NTUiMDubsvL8+5iN5u/uFgRn2wPlObmZjZt2kRGRgaLbsNrl5+fT0xMDE1NTRw5coTFixePJFDcbVqtlhdffJGysjJ27drFH/7wBxYtWsTEiRNvuchwW5ucrq4F9PZWkpragtsdxfr13NF6eg8DsRQr3FMVFRVIpVLq6uo4rdVyatkyuv/6r1mTkMBxtZqlS5diMpmIi4tjyZIl3juNot6vt0J9/DgvVVUx4+BB+OUvvQHCTZDL5UgkEmJjY6mpqbm9gxS+msGAe+1aOtvbKezro3koQaju6FG6urqurw+wwYBYx7p3enp6+OSTTwgPD+fJJ5+85WCntbWV+vp6tFote/bsYdasWUyfPv02jfbmSCQSsrKy+P73v8+YMWPYvn07f/nLX+jo6LjpYw4ODnL8eDn19T04nfXk5x9HJmt7WLdN31Zixk64py5evIiPjw/l5eXExcVRV1fHJ2VlREZF8e0VK/j888+RSCQ899xzdyT1/oFlMMD69QRoNJy2WJjkdCK7yUvd4Yy0mJgYjhw5Qn9/P35+fndi1MKXDBoMtJ0/z/7mZpBKMcXEENHUxJGPP6Y9PBwAjUaDVqslMDAQrVZ7+dfp0yg++0zM9t0DBgM0N1vZu3cLgYEqnn/+eRQKxS0fNz8/H5vNRklJCZMnT2b+/Pm3YbS3h6+vL48//jjjxo1j+/btvPXWW8ycOZNZs2ZdV2ZrX18f5eXlXLx4kbq6OkwmDUrlo0RF5dLUlM/hw9WkpkJwcBggWo7dLBHYCffM4OAgVVVVmM1mxo4dy4EDB5BIJDz22GPMmzePXbt20dLSwiuvvIJGo7nXw72/DNWgCx47lmiFArtej29Dw03VoBv+MIqKigK8DcfHjh1724csXK6zs5Ote/YwweMhKygIaXQ0is5OItPTefEHP6DHzw+TyYTJZMJsNmMymWhpacFsNuN2uwno7WXW/v1YBwaQxcaS6XajFetYd0VeHqxd6+b8+VZgAv/wDwm35WLo4kULn31Wg9vt4qmnxrJs2bL7sqdqfHw8r7/+OkePHuXYsWOUlpayfPnyocLpl++UMZvN3m5BFy7Q2NiIRCIhPj6epUuXkp6eTkGBP+vXg8UyDbO5Ea12D2fOBBIZuVxczN8kEdgJ90z9sWNYT57EPyKCmpoaurq6+Pu//3sWLlzImTNnKCws5PHHH78jdZQeeEM16AL7+pB6PDjq6/HVam8qQ3j4StvHx4ewsDBqampEYHeH1dTUsHHjRvz1egK//W1Mb71FhlJJq1bLDo2GqSoVyfHxV72vy+WioqKCsrVrkfX10Qh0njlDd2IiYw0GAqqrCRJ/M3fM0GQ5TU0G/PwMhIWNZ9cuDbm5txZP5+XBf/5nBxcu5JKWFo6/f9JIt4n7kVwuZ968eWRlZbFt2zbef/99pNLF1NZOoafHhcvVQ0rKGQIDTyOTyUhMTOTxxx8nLS3tsk5Bw/X0Kip82LGjgBkz4jh//jwmk4mVK1eKtmM3QQR2wr2Rl4fzn/+ZR6qqUIaEUJ+bi2zKFGbPnk1TUxM7d+5k8uTJ92zD8H1vqAadct06Qrq7sWq1BNxkhvBwYOdwOEhKSuL8+fN4PJ77cqZgNCgsLGTnzp0kJibyzDPPUFpaypG5cxn30kvE6fUUHD/OunXr+MY3vkH8JcGd0+mktLSUU6dO0dLSQqxCQVRmJurubmq1WsLdbiwSCZ9t20amzcbs2bPFh+IdYDRCR4eNqqpDZGVlkpqqobz81hq2GAzwwQc2Oju7SEiwkZiYxMaNMsaMuf8nX0NCQnjllVfYubOEX/zCg9VahJ+fCYcjlIGBDP7xHxOZNSvhK7tveIss62lu1tPV1cWqVatYv34977zzDi+++CK6h7Ck1a24fy8HhNHLYMD+4YfU1dTQ6OdHakoK0xobGRccjN1uZ8OGDURFRX2RLCFc3aJFSP71Xyl94gnOP/30Te+tGl6KdTqdJCUlYbFY6OzsvJ0jFfB2JNi9ezfbt29n8uTJvPjii/j4+NDV1YUiIQH5xInI4uJ47rnniI2N5ZNPPsFgMGA2m9m/fz+//e1v2bJlC35+frz00ku88vOfo/vudxm0WslSKEAiIfSHP2TSihWcOXOG3//+95w+fRq3232vH/qootNBb28TdnsIcXGJt6WcZlubg7KyJqKiJCxYMJeYGNkDlUQgkUiIjs4mJmYMkZEeJBI3M2bEo9MlEhqacd0t1WbMmEFraytut5tvfetbSCQS3nnnHRoaGu7wIxhdRGAn3H1GI3XFxTQ4nWRmZRGSnY2jq4uEgAA2bNgAIJIlrtdQhvCt5ENeOmMXGxs7UvZEuH1sNhtr167l1KlTLFu2jKVLl44ss3V2dqLX60duK5fLR5rG//SnP+Xf//3fOXXqFOPGjeMHP/gBL730EikpKUgkEhpSUzk4Zw5+//mfFD72GCf9/Zk1axY/+MEPSEtLY+fOnbz55pvi9byNdLpBNJod+PmpaWvTIpXeWjlNj8fDmTN7kUr70OnGIpUqHsja6zod6HQKIiImoteHkp/fgEIxcEOPITExkfDwcI4fP05wcDCvvfYa4eHhfPDBBxQXF9+5wY8yIrAT7rrqnh4aenoYq9Phdjjoq6xkUKmk3mKhpaWFlStXimSJG6DX6zHewqX9cGDndDpRKBTEx8dTXV19u4b30DOZTLz77rs0Njby4osvMmXKlC9+OFSqZDgmGO4P+u6772KxWPB4PNjtdlatWsWSJUuuWJKqq6vDHRlJ8Lx5pM6fz/nz57HZbPj7+/PEE0/w7W9/Gx8fHz788EPWrl17S+8TwevMmTMEBJzkm9+s4V/+Rcovf3lricgnTpygtfU0r78ehFrtS3k5txws3gtDu0NQKOQoldn4+KhQq7ehULRf9zEkEgnTp0+nurqa9vZ2fH19+cY3vkF2djabN2/mwIEDeDyeO/goRgexx064q/r7+/nw4EGksbH8VWAg3XV1dFksVAYG0tzYyKPf/KZIlrhBOp2O3t5ebDYbKpXqhu8vlUqRyWQ4nU7A29Fi//79OByO21K+4WFmMBhYu3YtSqWSb33rW4SEhHzxw7w8XJ98woSTJwm+eJHTdXXsl0qx2Wykp6ezdOlSwsLCWLNmDevWreOVV14hODj4suPX1dWRkJCARCJhwoQJHDlyZKRMBkBkZCSvvPIKFy5cIC8vjz/96U9MmTKFOXPmXPfymPAFl8vFyZMn8fPzY8qUSLKzb+14NTU17Nu3j1mzZrFgQRxLljzYtdeHEyGMRhlqdRz79x/igw8+4OWXX778vf8VxowZw759+8jPz2fFihXIZDKWL1+OTqdj3759dHd388QTT4hz01cQM3bCXePxeNi+fTsGgwHpI48Q8sc/YpwwgdbWVuKqq3m2rIwJYkbhhg0v493qrN1wMdykpCScTieNjY23ZXwPq/Pnz/P++++j0+muDOoMBjzr1tHW2so5m43Kigrkn33GjLg4fvSjH7Fy5UoSEhJQq9WsWrUKlUrFmjVrMJlMI4ewWq20tLSMdAoJCAggNTWVwsLCy2Y1JBIJY8aM4fvf/z5z587lzJkzvPHGG1/svxMFjq9bWVkZRqMRrVZLTEzMLR2rp6eHTz/9lKSkJOYN9WgeDbXXhx9DSoovq1atQqPRsGbNGrq6uq7r/jKZjKlTp3L+/Hl6e3sB73t4xowZPPfcc1RUVLBmzRr6+vrEW/caRGAn3DUlJSWUlZWh1WrJzc1FLpcT195Oq8nEYGws0VFR3joC4q/0htyuwG54xi4kJAR/f3+xL+smeTweDh06xKZNmxgzZgyrVq26rMaZxWLhzN69VBUWUtDUhNPtptffH8XAAN1VVZw/f5729vaR4MzPz49Vq1YhlUr54IMPsFgsADQ0NODxeC5rATdp0iTa29sxXOVvSC6XX7H/bvvf/A29P/4x/Md/3FL3koeBx+MhPz8frVaLn5/fLa0s2O121q1bh6+vL08//fR9XdbkVgxfmPj6+rJmzZrr7ms9ceJE5HI5J0+evOz7GRkZvPLKK5jNZv7+7/fws58NirfuVYzOd5Nw3zGbzezcuZPg4GD8/f2ZMGEC7Rcv0lJejicqimkzZyL1VrN8cFLB7hMqlQqNRnPdV8RXo1AoRgI7iURCUlISbYWF4nL4BjkcDjZt2sShQ4dYsGABK1asQC6X4/F4qK2tZcOGDfzP//wPx8vLkQYFESORMG/OHBaPGUNYSgqe4GAOHz7M//f//X/8z//8D9u2baO8vBwfHx9WrVqF0+nkgw8+YKCykq79+4nG28tzWFJSEkFBQRQWFl5zjMP7777z6KPE5OdTfPYstoQEcLvFhdVXaGhooLW1lbCwMAICAggMDLyp43g8HrZu3UpPTw/PP//8qC9J4+fnx+rVq1EqlaxZs4aenp6vvY9KpWLSpEkUFhZis9ku+1lkZCRLl36b4uIMSkvLiInpF2/dLxF77IQ7zuPx8Pnnn6NSqfDz8yMwMBCTycRfPvyQuRIJ89PS8FUqeSBTwe4TtyOB4tK+pOM6OjB9+imO06dR6HSiVdV16OvrY926dbS3t/Pcc8+RmZnJwMAAxcXFFBYWYjQaCQkJ4ZFHHiE7O5szv/oV/jt3EmWxIAsKImT1alYsWsRjTicNDQ1UVVVRVVXFmTNnkMlkxMXFkZGRQecnn9DwySeE9PcTHRKCZN++kddGIpEwceJEDh06xJIlS74yaFBaLMj6+miWSLA5naiiorjlgmyj2IkTJwgNDcXpdN7SMuyJEycoLS3lueeeIzQ09DaO8P6l0WhYvXo177//PmvWrOGVV1752sA4NzeXgoICzpw5c0WvXKvVD7fbH6v1POfP25gyZRqVlVLx1h0iZuyEO+706dPU1tYyZ84cmpub8fPz4+2336ZqcBC/V19Fp9fzwKaC3Sf0ev0tzdhduhSLwUDkkSNYBwYw6vViJuc6tLe38/bbb2MymVi9ejX+/v5s3ryZ3/72t+zbt28kieG73/0uubm59PX1sU8iwfXznyP7l3/h0tRKuVxOUlISS5Ys4Qc/+AE//OEPWbx4MVKplMoDB0g7d46mhgaOG434qFRXvDbjx4/H4/Fw7ty5a47XYrGw6dAhbCoVKb6++Pn4iAurr9DV1UVlZSVTpkyhtbX1pgO7S5MlMjMzb/Mo728BAQGsXr0aiUTCmjVrRvbPfdXtx44dS0FBAS6Xa+T7NpuNY8c+x+HoIilpNjabk5ISo3jrXkLM2Al3lNFoJC8vjylTptDd3U1bWxsOh4Pe3l5mz57NlNdfh/b2BzsV7D6g0+koLi6+6Y4Rly7FYjRiaW6mzuFA399PeFKSmMn5sksaYlYODPDpp5/i7+/P+PHj2b59O21tbQQFBTF37lzGjx9/RR/RQ4cOeT+4li6Fr2meHhwcTG5uLrm5uTjS07GeP09lbCytFy5wrqODKTYb2q4uJEOvjZ+fHxkZGRQWFjJ16tQr3g82m42PP/6YgcBA7E8+SeDu3ciqqrxBnbiwuqqCggI0Gg16vf6mZ+yulizxsAkMDGT16tW89957rFmzhpdffhl/f/9r3n769OmcO3eO0tJSsrOz6evr45NPPqG/38jf/M00jhyJ4OJFN21tLbz+eiDR0cq7+GjuXyKwE+4Yt9vN5s2b8ff3Z+7cufzwhz9kcHCQpKQkVCoVzzzzjDdl3dtP5l4P94Gm1+tHAuab2ftz6VKsMzCQ1v5+ElUqnHa7mMn5srw8WL8ej9lMp83GQaWSnoQEXC4Xhw8fJi0tjYULF5KUlHTVILu9vX2kabr8a4K6L1OEh6OIjmaCy8VAfz+a3l7qjEZqDx1iQVwcQUFBgDeJ4v3336e+vv6y5AqXy8WGDRswmUy8+uqrHDhwgLagILLmzhUXVtcwvJw+c+ZM2trakMvlhIeH39AxHpZkieuh1WpHlmWHS6F8+cJnWGhoKCkpKZw4cYKoqCg+/vhjnE4nr7zyCuHh4cyfD42NWrZs2YRK1QksvLsP5j718L67hDvu2LFjNDc3s3z5cv785z9TXV3N4sWLGRgYYMGCBURERNzrIY4aw4Vrb3Y59tIZu/M9PZxLSyMkNBRVXZ1YIr/UUAd4t8tFocVC8blzpJ07R5JKxcyZM/nRj37E888/T3Jy8jVnTg8ePEhwcDA5OTk3/vuHqsBKZDLirFb8NBrCfvhDDMCf/vQn8vPzcbvdxMXFERISclkShcfjYdu2bdTX17Ny5UpCQ0Pp6upCnZr64NfYuIOGy8dMnjyZpqYmIiMjb6grzsOWLHE9goODWb16NYODg95koIGBa952+vTpVFVV8etf/xqZTDbSjQK8b9np0/1YtmwcBQUFl5UDepiJwE64I1pbWzl06BBTpkzh8OHDHD9+nFmzZmE0GomPj79iM6xwa7RaLTKZ7KYDu+E9dh6PhxMnTqBYtozuH/6QQzNm4PnFL0TixDCjEWd3Nyebmig8exZXWBgTkpL49lNPMW/evK+dLW1ubqa8vJy5c+fefMu8RYvgl7/E9L3vsSs3l7BvfIPvfve7TJw4kb179/Luu+/S0dHBpEmTuHjxIn19fYB3+ffcuXOsWLGChIQE3G43PT09osH6V3A6nZw6dYqcnBzUajVNTU03vAw7nCyxYsWKhyZZ4nrodDpWr15NX18fH3zwAYODg1e9nd1up7a2FqPRyGuvvXZZFviw6dOn4+Pjw4EDB+7wqB8MIrATbjun0zmyBFtbW0t9fT3R0dH4+fnhcDhYsWLFTe0DE65NKpWi0+luOjN2eCm2qqqKzs5Opk+fjn9GBk3BwQx8qdvBw8wIVLS2QksLARoNEW43qtBQZNf5gX3gwAFCQkLIysq6tYFER6NfsIAePz9aWlpQKpUsWbKEV199FbvdzltvvTVSVqJszx4urlvH2W3bWLhwIWPHjgW8e75cLtdlfWqFy5WWltLX18fUqVMxm8309vbeUGD3MCdLXI+QkBBWr15Nb28vH374IVar9bKfFxUVsX79embMmEFkZOQ1Z+SUSiXz58+npKSElpaWuzDy+5sI7ITb7uDBgzQ2NmKxWLDb7eTk5OB0Ounv7+exxx676fpPwlfT6XS3vBR74sQJoqOjiY2NHWlfdb1FRUe7qqoq/rxzJzWTJhGfkMA4pRKpXM4+nQ7ndey5amhooKamhnnz5t2WPVbh4eEolUoaGhpGvhcTE8N3vvMdZs+ezenTp/E/eRLXz3+O+9//nWdKS5lxyZLX8EWACOyubrggcWpqKnq9fqTo8/UWJhbJEtcnNDSUVatW0dPTw0cffURNjY1z5zxs3JjP1q1bmThxIn/7t3+LTqfjxIkT1zxOTk4OoaGh7Nmz56HvJysCO+H2MRho2bWLExs2YDab0ev1vLp4MZ379iFpbmbixImMGTPmXo9y1LqVkicakwlJSQndJSVMnz4diUQyshH/YW8cP/wB/8knnxAXF8cj//3ftL3+Ovnz5xPyxz9SpNOxZ8+erz3GgQMHiIiIICMj47aMSyqVEhMTc0XrN7lczty5c/nr5cuZ1dxMR1sbNQoFSrkc65o1eJqaAO9+TKVS+ZVZiQ+zuro62tvbmTZtGgBNTU0EBQWh0Wi+9r4iWeLGhIeH881vfpP8fD9Wr67jr/+6mf/6LxUBAU+zbNky5HI506ZNo6ys7JqzdlKplMWLF9PQ0EBFRcXdfQD3GZEVK9weQw3NjQUFTB8YwPn00yyIi2PgF78g48QJJoaHk6UUqeh3kl6vp7e3F7vdjvJGnuu8PFI/+QTNxYuoIyJIf+QRyMwc+dB/mGfsnE4nO3bs4OzZs8yYMYMFCxYglUqx6vV0RUURPmkSS4Ht27cTExPDuHHjrnqc2tpaGhoaePHFF2/rNoS4uDiOHz+O2+2+Injws1rx93gIysoiSK+nqrub4Pp6zv3+9+jmzx8JVMS2iKvLz88nPDyc+Ph4gOveX3dpssS3vvUtkSxxndzuSAYGHsdiKcfpLCMxcTYXLoTQ3OxNkhg/fjyHDh2ioKCAJUuWXPUYycnJJCUlkZeXR0pKys3vY33AicsI4dYNZQpeLCvj7OAgcTExPNLcjPKjj6ipqqLJz4/UlBSUn30mitzeQcOb4G9ohm3otXM5HFRIpYTq9Ug3bhx5nXQ63UMb2PX39/PBBx9QUlLCk08+yaJFi0aCJ5fLNVKqZOLEiWRnZ7Nt2zY6OjquOM7wbF10dDQpKSm3dYxxcXHYbLYrfq/L5eLzY8ewqVRMjY1l3JgxzEhIIHrMGMIyMykrK2P79u0cO3aMTZs2UVpaesX+podZZ2cnVVVVTJs2DYlEgsPhuO7CxCJZ4uYYjeB0+jFnTjIhITokkmZ6etwjHSaVSiWTJ0+mqKjomokWAIsXL6a7u5szZ87cpZHff0RgJ9wyT1cXDefPc6qlhZi4OFLmzsXd1YWhuJii9nYSk5PRpKaKPrB32PBeqRsK7IxGMJvpDwoCqZSAjIzLXqfg4OCHMrAb7iTR3d3Nyy+/THZ29mU/dzqdI7MBEomERx99lKCgIDZs2HBFb8uKigqam5tZsGDBbZ8di4qKQiaTXbbPzuPxsGPHDqoGBwn/0Y9Q+fhAeTlSmYzAv/orFr78Mj/+8Y8ZN24ckydPpquri08//ZRf//rXrFmzhoKCgiv7eRoMD1Xf4Pz8fPz9/UeSXFpaWnC73dcM7IafnmPH6kWyxE3S6bzlMvv6Ahk7NgeDAbq6aggMdI7cZsqUKbhcrq/shRwWFkZOTg6HDh16aC9WxFKscEs8Hg/7z53DYTAQ7nYTGx2NqayMNqORTrOZcJeLrIwMUeT2LvDx8UGj0dzYPruhs2mAwYDH5cJ88SKhYWEjr1NwcDBlZWU33dHiQVReXs5nn31GcHAwL7zwwlWTfVwu12XLPEqlkueee463336brVu38swzzyCRSPB4PBw8eJCEhITLCgXfLnK5nKioKBoaGsjNzQXg1KlTFBUVeWeMcnJg9uwrOrtYrVZkMhkLFy4kKysLs9lMZWUlFRUV5OXlsXv3bkJDQ0lNTWVcRwch+/cj6e39ojvFKC5/U1k5wJ49bcyfP3PkNTYYDCiVyqvOwA3Vq6az005Li5n582eIZImbMFSikfXroa1NS0pKEr6+Wzl+/BTR0SuRy+VoNBqys7M5efIk06ZNu2aB7/nz51NaWsqxY8dYuPDhK1osAjvhprlcLrZu3crmAweYkJPDQqMRU0EB5sBAjIsXcyI/nyUmE35NTaJd0V1yw5mxQ2dT+RtvkOJy0dnVRcgPfjDSnkqn02Gz2RgYGLhmdfjRwuPxcOzYMQ4cOEBGRgYrVqy45l7FS5dih+n1ep544gk2bNhAbGwsubm5lJWV0d7ezmuvvXbHxh0bG8u5c+fweDzU1taye/dupk2b9kUB5Kt0dhme1R1evg8MDGTy5MlMnjwZm81GbW0tFRUVVB44gHbnTuqdTiavWIGkpcX7yZuRMSr/lvPy4He/M9PQMJP+/lQCArwxbGNjI2FhYQwODmK320e+GhpcvPlmIHa7k4GBKmSyQNrb59LSIh2NT88dt2iR963lvQ7xx2abytq1a9m4cSPPPfccMpmM6dOnU1RUxPnz5xk/fvxVj+Pv78+MGTM4duwYkyZNumrtu9FMBHbCTXE4HGzcuJGzZ8/i5+eH36xZfHDwIP1yOX/zb/9Gh93OieJi5r7+OmRliXZFd4ler7/xOk6LFtFitZK/aROe4GBUiYkkD/3o0pInozmwczgcbN26lfPnzzNnzhzmzp37lTOUly7FXiozM5OpU6eyd+9eooHzmzczLjLyppvGX4+4uDiOHTtGdXU1mzZtIikpiUVfM6M2HPxfrTixSqUiIyODjIwMjAEBtH/+OfU+PthdLlRRUaO2b7DBAGvWWKmpqcPPr4eKCvjnf3axb98hzp7dRkREBE1DGcXD2trCuHhxFm73BYKDtUyfnk1Tk3w0Pj13zeXXIUk8//zzrF27lk8//ZRnnnkGvV5PWloaJ06cICcn55p/p9OnT6ewsJADBw7w1FNP3bXx3w9EYCfcMKvVytq1a2lubkYul9Pf309TUxPJc+fS0NCAb0oKeb/7HWFhYaQtWAA32FdRuHk6nY6SkpIbXjp1hIVhSUwkLCyMU6dOkZzsDe2GAzuj0XhHg5N7yWKxsG7dOtrb23nmmWeuq3jwl5diL7Vo0SI8e/fS9NprZDmdJI4f752GuEPLlzExMTidTt555x1iYmJ45plnvra8htFoJDAw8Cuzp0tLSzm4Zw8LAgOZFx+PSi4f1VsqSktbKSoy0tZ2hszMNBISVDQ3+xMXN4GenvMsX76clJQUVCoVSqUSpVJJR4eSioouTKZkJkxIwGTyG61Pzz2TnJzMypUrWb9+PZ999hlPP/00M2bM4C9/+QtVVVWkpqZe9X7DRYu3bt1Kbm4uUVFRd3nk945InhBuSF9fH++//z5tbW1IpVJOnjxJUlISL7/8MqtWrUKpVLJ37146OzsZM2YMYWFh93rIDxW9Xo/D4aC3t/eG7jccCEyZMoWqqqqRhAmFQkFAQMCoTaBoaWnh7bffxmKx8Oqrr153R4irLcUOk7a0kF1eTk93N9b4ePx8fb3Ll3co8UCpVNLc3ExraysvvPACPj4+X3ufrq6ua7YSc7lc7N69m08//ZTIKVNI+ed/xlet9s7UjdK+wefOnWPfvvWo1U40mjRCQsJQqZJITg4lOTmIyMhIFi5cSHp6OgkJCURFRaHX62lqyicm5jiJiQm0tweN1qfnnktNTeXZZ5/l4sWLbN68maioKKKjozl+/PhX3m+4aPHevXsfqqLFYsZOuG49PT18+OGHGI1GZDIZhw8fZsGCBfz0pz9FoVAA3p6lx44dQ6VSMW7cuIdmw/394tLM2Bvp8CGVSnG73YwZM4a9e/dy+vRpHnnkEWD0ZsaWlZWxZcsWQkNDef7552+oUO+1Zuw6Ozs59u67pNbX4woPR6vTwR1evszLy8PpdBIfH3/dfV+HezZ/WW9vLxs3bqSlpYVly5YxefJk79/wuHFXJGCMBm63m/3793P8+HFmz55ARISEN99U0dDgS0iIN0iz2+vQ6/VX1KM7duwYBQUF/OAHjxIRETQan577Snp6Os888wyffvopUqmUqVOn8umnn9Lc3HzN2bjhosUfffQRFRUVpKen3+VR3xtixk64Lh0dHbz99ttUVFRgt9upqalh1qxZ/P3f//1IUAfeZVpbTQ1ZLheZAQH3cMQPJ61Wi0wmu+EOFMMBuFwuZ8KECZw9exa73Q54A7vR1H1iOFN148aNZGRk8PLLL99w94Uv77FzuVwcPnyYN998kx6plNixY4mVyVDe4eXLc+fOkZ+fz7Jly5DJZFgslq+9j9vtxmg0XhEE1tXV8dZbb2E2m3n55ZeZMmXKFxdm0dGQnT2qohabzcb69es5ceIEjzzyCMuXLyc5uZ7HHitk6tT9/OxngyxadPXCxEVFRezfv5958+YxefLk0fj03JcyMzN56qmnKCkpobKykqCgoK9sMwaQlJQ0UrTY5XLdpZHeW2LGTrg2gwGMRlpsNv7fpk3U19eTmppKfHw8CoWCl1566bI9Ok6nE/+CAr5RXU18dzcxAAMDo7o0wv1GKpXeVCA2vBTr8XiYPHkyJ06c4Pz580ycOHFUlTyx2+1s2bKFCxcusGDBAmbOnHlTj0nZ0UHgwAAYDDR5PGzbto2uri5mzpzJ7NmzkR88iPsf/xFNUxMkJt6R9bmmpia2bdvGxIkTmTt3LhUVFTQ0NHztcrLJZMLlco3M7no8Ho4fP87+/ftJSEjg6aefHtWJMuB9DtauXYvJZOLFF18cKRxtNBrJztZRX1+PVNqCzRZNe3s7U6ZMGbnvxYsX2bZtG1OmTGH27Nn36iE8tLKysnC73WzevBl/f3/KyspYuHDhSAvEL5NIJCxevJg333yTM2fOXPZajlYisBOubqg4k7mpicqaGlQhIcxbvZolS5awYcMGsrOzr6iifzEvj4nV1Rg9HgZjY73TwaO4NML96mZ6xg4Hdm63G61WS1paGidPnmTChAmjpuSJ2Wxm7dq1dHd38/zzz9/8skxeHlmfforSaqXpwAEOhoWhmDWL73znOyN7Sj0LF3Jg1y6WTpmCbubM2/7+N5vNrFu3jujo6JHZOp1OR2Nj49cGdsNBv16vx2q1snnzZioqKpg9ezZz584dlX1Nh65R0enA7W5k/fr1KJVKvvWtbxESEjJyO6PRyKRJk2hra6O5uXmkFuHwjF19fT2bNm0iMzOTJUuWPPAXOg+qcePG4Xa7+eyzz2hqamLr1iJychZccyn80qLF48aNu659qA8yEdgJVzIY8KxbR0N9PUdqaoiWSPiuTkfosmVsKSzE4/Fc0avP7XZzcudOxvf3I42OJiE52bv8NEpLI9zPdDod58+fv6H7DH9Aud1uwJtE8cEHH9DQ0HBZZuyDGtg1NTWxfv165HI5r7322k0n9Tjq6nC89x5mk4k6u50Uh4NHlEpCHnkE6SXHdDgc9AYE4MrKuu3vfbvdztq1a1EoFCO1vcBbz+7SDhTX0nvhAlFdXVirq3n/2DEGBwd58cUXr5ld+KAbLiBsNoPTaSQg4Ajz5oXw3HPPoVarR25ntVrp7+8nJCSEyMjIkbJBPj4+6PV62traWLt2LbGxsTz55JOjMgB+kOTk5OB2u/nZz/bxH/8hJyvLiU4nv2b97Hnz5j00RYtFYCdcZnBwkMoDB1CcPElhXx82hwNVWhqYzRTu2cO5piaeeuqpyz7gXQ0N7PjgAwpPnGBiUBAzEhLwDwwc1aUR7md6vR6z2YzD4bhs/+NXuXQpFiAhIQG9Xs+pU6d48sknAW8tu9jY2Dsz6DuouLiYrVu3EhUVxcqVK68rOHW5XHR1ddHZ2UlHR8fIl/LiRWadO0eHry9OqxWzRkNoTw9tZWVExMSMBMjD+xO/qpzIzfB4PGzZsoXu7m5ee+21yx5LXFwc586dY3Bw8NqN5/PyCPnjH5na1ERLfj5JM2cy45e/vOYy1oNuqBUybjdIpRXU1vYRGjqLefOiUasvT365tGhzZGQkxcXFuFwuoqOj6enp4aOPPkKn07Fy5cprZkQLd1do6ARUqkj6+89iMOxjcHAsf/6zhsREH5KSVJfdNiAggOnTp3P8+PFRX7RYvDsFAJqbmzl9+jSlpaX49fQw2ekkS6slasoUbLW1tFutvPHxx9hCQigvL8ftdpOSkoJ9xw46fv97gmpreTUkhHErVyKrq/PO1IluE/fE8KZ4o9FI+HXWELx0KRa8M3hTpkxh9+7dDAwMPJAlTy7NeBw/fjyPPfbYFZmsbreb7u7ukcBtOJAzGo0jz4W/vz+hoaGkpaURlZpKvMlEmlLJYFAQvRcvYjSZyMvLg4sXGTNmDGPGjBkJrG53YHf48GEuXLjA888/f8WsY2xsLB6Ph6ampqvOvlmrqxl8800a6+tplcnIDQoi22JB2t8PozSwG2qFTHo65Od3IpX20NMTRF7eGRYuDCU6OnokSDNe0h85KiqKo0eP0tfXR25uLh9++CEqlYqXXnoJlUr1Vb9SuIuMRvD1DSc3N5rq6kpstjoaG4P47/8+yvjxUuLi4oiLiyM2Nha1Ws2MGTM4c+YMGzfmM2XK0lGbxSwCu4eYw+GgtLSU06dP09LSQmBgIHPmzMFut1Pb2clTdjuanh6Ij6c9MZHo3l5mzpxJe3s7W7ZswVRaymOFhSgVCqzR0eQkJHiDuu98B5RKkft/jwxviu/q6rruwO7LS7EA2dnZ7N+/n8LCwger5InBgL21lR0FBZR0d7NkyRKmTJmCyWS6Ygauq6trJFNOrVYTGhpKQkICubm5hIaGEhIScuXsl0wG69fj39yMf0wMkT/5CdqMDEpLSzl//jz5+flIpVJqa2sxmUy3LenkwoULHDp0iPnz5191f2BQUBD+/v40NDSMBHbd3d0jPWCtJ08yrayMJo+HCTk5xCYnj/qtEsON5ZubISdnIpWV/fT19VJbW8j773egUCiIjY0lMTGR5uZmNBoNKpWKyMhI2tsVGI0eLJZyIiJcV8yQCvfe8Otrt6ej15tRKOKZMEHP44+7sVqruXDhAvn5+YB3n11cXBwm0yQ+/NCPmJgBwsPVo7L1sQjsHkJGo5HCwkLOnj2LzWYjOTmZF198keTkZMxmM3/605+Y+OKLaLKywGik1W5n586dLF++nBkzZoxsIJa43fh7PFQ6neQmJaFJToaKCm9Ql519rx/mQ8vX1xc/P78byoz98lIseFtL5eTkcObMGVJSUujo6LjtY73t8vLoe/ddGkpKCHG7Gb94MSUlJezfvx+HwwF490yFhoYSExPDhAkTCA0NJTQ09Po/tC9vaIkkOpoYvB0gHnnkERoaGjh48CBHjx7lk08+4dixY2RlZTFmzJjLNurfiLa2NjZv3kxWVhazZs266m0kEgkxMTGcPXsWgIqKCrq6upDJZN5gddkyAquqyOzuJik+/qHYKnFpY/mGBl9CQ335wQ/0LFz417S1tVFXV0dtbS2HDh3i3LlzAKxfv5729nEcPDiHri4HCQlB/Oxn8aN66e5B9cXrq8DjScVobOZ73wti6dKxwFjAmwHd0NBAQ0MDhYVt7NiRTVdXF1ptISEhM1m/Xjrq8vtEYPeQcLvdVFRUcPr0aWpra1Gr1UycOJFJkyaN7K/xeDxs3boVPz8/5s+fD0olrogItvz5z4SHhzN+/Hi2b9/OwYMH6e/vJyYiAk1kJEtDQ9ElJnobhI/yD4oHRYxEgqOwEJKSruuMdbUZO4DJkydz8uRJzGYz3d3d913JE4/HQ09PDw0NDXQUFaH/wx9oamzEEhBARkAAqUVFqLKzGTt/PiEhIYSGhuLv73/rj+HyhpYjpFIpCQkJuFwu6uvrefLJJ2loaCA/P59Dhw4RFhY2EuQNJ6V8nb6+PtauXUtISAhPPPHEFWO3Wq1UV1dTWVnJkSNHaD9zBn1zMynjxrHw+edJTExEqVTicrnYtHUrUyUS5NXVD81WiS/F4UMPV0JERAQRERFMnz4dl8vFr371KyQSCU1NHj75ZJDubhMaTTdJSVPYs0fDtGmj/ql6IA2/vq2tWjZv/hSJpAl4fOTnWq0WrVZLdnY2cXFw9qwDvf4MtbVVhIeH4XanYjRKRtVrKwK70eTSnP6hd6nFYqGoqIgzZ87Q29tLTEwMTz75JGPGjLliA/DZs2epq6vjm9/85sjeoPz8fDo6Opg3bx7/9V//RUVFBYGBgWRlZTF79mwyOzqQbdwIVVUPzQfFfS8vj2l79uDs7oaLF7metYarzdiBd1k3KSmJuro63G73PS954vF4aG9vp7GxkYaGBhobG7FYLEgkEqK6ulA0NWEJCGDpo4+i02qRVFSQPmnSXZ9BttvtSKVSMjIyRvb3VVdXU1paypEjR9i/fz9RUVEje/Ku1SXE6XSyfv16XC4Xzz///EgyjNFoHFlibWxsxO12Ex4ezsrgYBQWC1lVVWj6+yE21rvBDO9S7oXISOZ/97sgkTxUWyWuEYePGH7/z507Fz+/6Zw44USl6iY5eSbx8ZrRvmL9wPO+vkpcrgns3buXGTNmXLULi04HOp13di8wsIvy8j7i4jrR6ULvwajvHBHYjRaX5PR7AgJomzuXYz4+XLx4EZlMxrhx45g0aRIRERFXvbvFYmHv3r3k5OSQlJQEBgPm2lryN22i0+Xit7/9LVKplBkzZrB48WLGjBnzRbr/mDGjst3QA2koDdBHpaIqIIBElwvJddQS/HLyxKWmTJlCcXHxSMeCuxnYuVwuWlpaRoK4xsZGrFYrMpmMyMjIoavwOCQSCW/89KfE+fnxxMSJBAQF3dOlxi9nxcrlctLT00lPT8dut1NVVUVpaSkHDhxg7969xMbGkpWVRWZmJhqNxltyqKuL/WfO0Nrayje/+U26u7spKCigoqICo9GIXC4nISGBZcuWkZKSQqDFgucXv+CsQoEpPByN231ZHcnTp08THx+PPifnrj8f9zuLxYLD4UCv16NWg1Tah9UaTEhI+MOwYj1qTJo0ifz8fA4cOMCzzz57xc+Hl27/8hcVVmsCoaEqtNo9OBwzgYS7P+A7RAR2o8HQh7nb5aItMBBTWRnWs2fpe/JJHnnkEbKzs7+yIKPH42HHjh3I5XJvf9C8PNxr11J75AhJ3d10xMYy7vHHef7558nIyLhyGevrLoeFu2coDdDk54e5vR1nWBiKmpqvnW641lIsQEpKCpGRkVQdPMhAfr63EfytvN5XmVkeZrfbaWpqGpmRa25uxuFwoFQqiYmJYdq0acTFxREVFTUye9XY2Mj//t//mzaXi/if/YyAoqJ7npVtt9uRy+VXrXWmVCpHZupsNhvl5eWUlZWxe/dudu3axfT+fsZXVuIwGtF0dZE2axZr167FarXi7+9PamoqixcvJiEh4fKs2/p6XN3dlFssuNrbiZ4wYSQ5ok0up7Gxkeeee+4uPgsPjktLneh0kJl5npYWHU1NfmIh4gEil8uZO3cun3/+OTNnzrzqRMaiRRAXJ+G3vz3Cs8/Op6UFNm7cyLe//e1RU/ZHBHajgdGIw2jklNlMV08PSQkJpFmtjF++HMl1XJ1fvHiR8vJynnvuOSTNzbT+7necLymh1molXavlHxMTCfr2t5F8qV+icB8aShOznjtHr9mMvL39uqYbrrUUO/yzR6RSMs+eJaCnxzs7fLOpZJdWiw0MxLpiBfXJySMzcq2trbjdbtRqNbGxscyfP5/Y2FgiIiKuGiTV1dXxxhtv0N7ezve+9z1SFi/+ysDxbrHb7ddV6kSlUpGdnU12djaDg4NUHzqE6r/+i1KDgaqBARJ9fMgqKyN60SLiZswgIiLi2vsDdTq6HA70VivagIDLZixPnz6Nv78/aWlpt/mRjg5dXV1IpVK0Wi0OhwMfn6P8+MfzSUkRCxEPmuzs7JEWed/4xjeuepuUFF/i4kz4+HTxzDPP8Pbbb7N27Vpee+21UVHORgR2o0Cr3U5XSwuK/n58/fzIDAxEGhwMQ2Uvvsrg4CA7d+4kMjKS2tpa9m7axPjTp6kD0seMYc7MmUgqKqC7G0Rgd/+Ljsb59NP0Hj1KqtuNRCa7rumGr1qKxWAg7dw5WqVSqqRSIr+0xHfdhjqa9FkstEiluMrKsBYVcWjuXCQxMcTFxTF+/Hji4uLQ6/Vfm+BQXV3NO++8g8Fg4Nlnn2XRcKB5H8wgX29gdylfX1/S9Hra7Xa6fHxwDQwQkpNDhkIBqakQGfmV93dHRnI8JgZ9RQXatjZv4szKlVj1ekpKSpg5c+YVdfwEL6PRSFBQEDKZjPLycux2O/Pnp3Kd+S3CfUQqlTJ//nw2bNhAfX098fHxV9xGIpEQFBRET08Pvr6+vPDCC7zzzjts3ryZlStX3lcJYjdDBHYPuOLiYrbt2cPEGTMYX1mJX20tEqn0uj7M3W4377zzDidPniQ5OZni4mKUfX1kBwQwNTCQMdOmiUzXB1BNYiLrMzKYnJjIxB//+JayYgEwGnEajbQrFEjb27FNnYqqru7Gd5MbjRjr6theXY02OJiMtDQSe3pIfvJJAq5RwuNaKioq+Oijj2hpaWHu3Lk8++yz99XJ+GYCu/b2dnbs2sUEp5NYmYyIzEzcjY04x41Dfh1/fzU1NZwPC0OxcCHBM2YQMncuREdzrqAAt9vNxIkTb/LRjH5Go3Fks31paSlRUVHXnbUs3H8yMjKIjIxk3759vPbaa1c9NwwHdgAhISE89dRTrFu3jkOHDjFv3ry7PeTbSjS7e0C53W727NnD5s2bGTt2LIt+/Ws6vvtdjs6Zg+Rf//Url8n6+/s5evQoP//5z9m0aRNJSUn4+/uj0+lInD2bhtxcEpOTvSURrjNIFO4fFy9epD8oCNmECdf9un3VUmyn201FWxtxMhkyiYTmU6fwBATccLBvUSox9PYS6fFgt1qJk8nQxsYSkPD/s3efYXFeWaLv/5XIUEBRxCKDyCCEBMoZZStY2ZazrXan6Ts9M6dnzoTbE/qcid3Tt3tst9uhZdmycrCyUA5IQiCBhMiZIlPkWPF+AGFhJZAlAdL+PQ+PZah6a1dBvbXevdZee3hFyzk5OXz99dc0NjYSFRXFpk2bnvgOD9/XcAO7rKwsPvnkE3rVahzefRe5QkGMlRUWiYS88eOH9Hu8du0aHh4e6N3dMUZFgUaDxWLh2rVrRERE9C3KEO7rTmDX09NDYWEh0dHRIz0k4XuQSCTMnz8frVZLQUHBfW/z3abrYWFhzJ07l3PnznH79u1nNdSnQszYjUHd3d3s2bOHkpISFi9eTGJiIhKJhF61mgZv7wd+CFRXV5OWlkb5pUtYd3TQ29zMjBkzcHJyAmDBggUcP36c4FdfxTE2dsTrlIThu9OvUKVSDWv16oNSsXV1dWxJSSFy6lSisrNxqa2lpa2N0qQkgob5d3Hk5k0kEyYwq6aG/GvXKCopIfIf/xHpMI5z69Yt9u7dS09PD56enrzyyisPbBUykoYa2BmNRo4dO0Z6ejrjx49n6dKlHD9+nJqXXiJ+1Srq0tPJbW8n0mx+6KbzLS0tFBYWDryH7zx2SUkJOp2OFStWPLHn9rwxmUy0tLTg5uZGXl4eJpOJqKiokR6W8D0FBQURGBjIqVOnCA0Nvef94+LiQmtrKyaTaaBE4e6dlVQq1ZB37hltxIzdGNPY2Mgnn3xCVVUVmzZtIikpaVAa7bt/vEajkZs3b/LJJ5/w8ccfYzp+nPW5uSzLymL59ev45efj4eHBD37wA7KysnB0dGT+/Pl9wVxcnAjqxpjy8nK6u7tRKpXDmqG5Xyq2rq6OLVu2oFQqmfev/0rxa6+R8/LL1PzgB+xuaaGjo2PIx8/LyyM3N5eon/0Mt9//nqxly/iDlxdXHB2HfIwbN26wd+9ebG1tsba2ZsWKFfiO0rrPoQR2zc3NfPbZZ2RmZrJ8+XJWrFiBVCrl9u3bBEyfjmT8eMYvW0Zrayt5eXkPPVZGRgZWVlYDW4ndeey0tDQ8PDxG7es0GjQ3N2M2m1GpVGRnZ+Pn5zdwsSuMbfPmzaO+vp5bt27d8zMXFxfMZjOtra0D35NIJKxYsQI3Nze2b99OZ2fnsxzuEyMCuzGksLCQP/7xj0ilUt577z2CgoIG/VxeW4tnXR1otbS1tXH69Gl+85vfsHfvXqysrNg0ezYv6/VYyeVcbGxECrzU1cVrc+Zw69YttFotK1euHHVpLWHocnNzUSqVSKXSYQV2303F3h3Uvf7669ja2qJ3d6fR25vZmzYhkUg4cuTIkI7d29vL4cOHGTduHJGRkcj8/YnZtIkOZ2dOnDhBY2PjI4+Rnp7OgQMH8PLyoquri2nTpjF+FPdje1RgV1BQwMcff0x3dzfvvPMOEyZMQCKRUFxcTHd3NzExfdsheXp64u/vz9WrVx94LJPJxPXr14m7qwmzlZUVLS0tFBQUDMzoC/d3p9WJra0tJSUlIg37HNFoNERERHDmzJmBPaHvuFNDeafO7g6FQsGGDRswGAzs3LnznvuNBSKwGwMsFgsXL15k27ZtBAQE8O67795b2JuSgs8f/8ikEycoef11DvzkJ1y5coWoqCh+/OMf8/rrrxPo5ISupISLZWXIFAqiFy7E09aW5qIiTp8+zZQpU/Dz8xuZJyl8bxaLhby8PIKDgzEYDI89Y1dfX8+WLVtwcnIaCOru3MZisWBvb8+SJUv6djLIyXnksU+ePElvby9Lly4deJyEhAT8/Pxob29n375991+00e/KlSscOnSIiIgIdDodoaGhfbPKo9iDAjuz2cypU6fYtm0bfn5+bN68eVCvrVu3bqFWq/Hw8Bj4XlJSEuXl5dTU1Nz3sXJzc+ns7GTixImDGiOnp6djbW09ECQK99fY2IiVlRUVFRUAREZGjvCIhCdp7ty5tLa2kpGRMej7dy6AvxvY3fnZ+vXr0Wq1HD169FkN9YkRgd0oZzAY2Lt3LydPnmTGjBls2LBhUJ+d3t5eis6epfzf/53cnBwKpFJ6urtZ2NLCX6xfz5IlS1Cr1ZSUlPDF4cNUtLbibjAQERaGc2cnZkdHjqal4erq2rc/rDBmVVdX09bWNhCcD3fGzqmtjY5Ll9j93/99T1B35zZ3ZvQiIyOJiIjg8OHDdHV1PfC4lZWVpKenM3fu3EG1cI6OjsTExKBUKqmqqiI1NfW+97948SLHjh1j0qRJ1NbW4uTkxJo1ax5abzYa3C+w6+zsZOvWrVy8eJH58+ezYcOGQa+vXq8nPz+fmJiYQTNs4eHhKJXKB87apaen4+/vj7u7+0BgJ5VKuX79OuPHjxcz8I9wZ+HE7du3CQoKGtEt84QnT61WExcXx/nz5wfeH8BA38K7F1Dczc/Pj6VLl5Kens61a9ee1XCfiNF9dnzBtbW18fnnn5OXl8eaNWsGAq+GhgZSU1PZsmUL//7v/07K9u00l5fTYm9P7PjxRMybh7u1NdYdHbS1tbF7926++OILLD4+BP71X+OkVKJqaACplFtRURT39rJy5cp79o4Vxpbc3Fzs7OxwdnYGGNYHlOLcOaalpGD5539mzrlzvKnRYGdnN+g2EolkYGZNIpGwdOlSzGbzA69oTSYTBw8exNvbm8TExHt+npiYiNlsJiAggDNnzlBfXz/wM4vFwtmzZwcuaBobG+np6WHjxo1jooHodwO7iooKPvroI+rr63n99deZPn36PenRgoIC9Hr9PTNsUqmUxMREbt26dU/NT0NDA2VlZUyaNGngcaGv9UlXV9fA94UH0+l02NraUl5eLtKwz6nZs2fT3d19z8XR3S1P7mfChAkkJSVx9OhRysrKnvIonxzxST7a9HfNr+7tZdv588hkMjZt2kRPTw+HDh2isLCQ1tbWgX0iFy5ciFV9Pea0NCa5uaEJDoaqKsyOjlwvLeXE4cMoFApWrVpFbGwsEomEHTdvMjEwEOn48Rw4fJjp06fj4+Mz0s9c+J7y8vIICwuju7sbGMaMnVaL1d69dHZ00ObhwZzgYOT798N32mzcScXe4eDgwOLFi9m7dy9RUVGE9282f8elS5dobGxk8+bN951h8/X1xdPTE5lMhqurK/v37+edhQuRNjdzMTeXs/n5zJ8/n7a2NsrLy3nttdfGTG+xO4GdxWLhypUrpKSkoNFoWLt2LY4PWDBy69YtNBrNfbc1mjBhAmfPniU9PZ1Zs2YNfD89PR17e3siIiKAvhl86GufEhwcfN+N0IXBdDodNjY2SKXSe/6GheeDs7MzEydO5NKlS0ycOHFgptzFxQWtVvvQ+y5cuJCGhgZ27tw5ZrYdE4HdaNK/3VJzWRna+npcoqIwzZnDF198gclkwtXVlfDwcEJDQ/H390ehUFBXV8dnp06RtGgR8XV1kJdHu1TKabWazKwsEhMTmTNnzsBesRaLhQZra/QREey5ehV3d/dBHxTC2NTQ0EBjYyMLFiygtbUVmUw2KM33UDodss5O6uRyPKyskPv7D+wxendgJ5VK76mFi4mJ4fbt2xw6dAh/f/+Bx2xsbOTcuXNMnTr1gS0DJBIJiYmJHDx4kDVr1nD93/6N+gMHoK0N+85O1r35Jl02Npw8eZJly5YROMx+dyPFYrFg3dCAXWEhh7KyyKirY+rUqcybN++BOz90dXVRWFjYt1fzfdja2hIXF8e1a9cGdpDQ6/VkZmaSmJg4cFy9Xk97ezsWi4WNGzc+tef4vOjp6aGjo4P29nYiIiIeuqe2MLbNnDmTGzducPHixYFdalxdXbl58yYWi+WBC4ykUunAtmPbt2/nnXfeGfXlDSIVO1potZi2bSMvJ4cjpaV0dnQQn5+PW08PCxYs4Kc//Sl/9md/xuLFiwkJCUGhUNDR0cG2bdtwcXFh+i9/Sedf/RUnJ0/mjz4+NMbH84Mf/IDFixcPOlkZSktxq6qi7OJFdDodK1euFNsMPQdyc3OxsrIiKCiIjo4O7O3th74SUqVC6uxMmIMDTY2NdBcX33e3ke/O2N353rJlywb6sUFfYHPw4EGUSuUjLxpiYmKwsbGhMTOTuQ0NFBYUkGMy4evjg++lS1z4+msSExOZOHHi0F+MEWY+fpypJ04g/b//F99PP+UtX18WLFjw0PdZbm4uFovlof3TkpKS6OjoGFiwkp2djV6vH7yjhFaLdV4eGhhofSI8WFNTE93d3XR0dIg07HPO3t6eKVOmcPXqVdra2oC+GTu9Xv/QOmEAOzs7Nm7cSHNzM/v27aOy0kJWVl+CbTQSgd0oUX79OrcuXeJqVRW+/v7ELlrE+MBAXp41i6SkpHtSKgaDge3bt2M2m1m/fj0ZGRn8bt8+rptMzHntNd5+++17Z0pSUuCXv2TK6dMEbtnCCju7MduAURgsLy+P0NBQ5HI5HR0dw9tlQKOB9etxU6vxam2lrr7+vruN3L144m6Ojo4sWrSIrKwsCgoKuHHjBuXl5SxbtgyFQvHQh1YoFEyYMIHitDSse3sp7unBx88Ph7AwqnJyCHFxYdGiRUN/LiNNq6Xj00/p7Oig0t6e8HHj8L98+ZGfALdu3SIoKOihvze1Wk1wcDBXrlwZ2FEiNDR0oKaSlBTcP/iARRkZvJSRgfTUqSf4xJ5POp2O+vp6nJycRCD8ApgyZQoKhYLz588DDKRVH1Znd4e7uzurV6/m8OFe3n+/ln/5F/jlL/s+VkcbEdiNsI6ODnbt2sWfDh6kUa9nRmAgM6dNQ9XTg9TF5b7bNlksFg4cOEBdXR0zZsxg+/btnDhxgtjYWH76058SHx9/z2yNpbKS3i++oKmxkZt6PfZ2dsTk5IzeSw5hyFpbW6murh6osxp2YAeQnEznX/0VJyZNYldUFK33Wexw9+KJ74qLiyM0NJQ9e/Zw+PBhxo8ff0+fxQeZOHEijRYLt8rL8ZNK8ddoKL10CZODA/PXrx/1K2DvVpOdTXVuLhYvL2zt7alTKKC1tS+t/QB3agiHMmOUlJREVVUVWYcPY75xg8n9wXdXQQHl//7v5Ny+TY1SicrVFXbsEO/vR2hsbKS1tZXo6OhRn14Tvj8bGxtmzJjB9evXaWpqGgjsHrQy9rvs7cPQ6ZKprq5BpWrAbB6dbzNRYzdCLBYL169fJyUlBaPRSJuTE4aXXyagpaWvvkmpvHfWpH9hxeX8fK5nZuLp6cmRI0fQaDS89957eHt7Y7FY6OjooL6+ftAXWVlMycig3tWVceHhBISFIamuHv5G7sKok5eXh0wmIzQ0FOgL7Nzd3Yd9HHV8POaYGBp6e7l8+fI9M2X3S8Xe/bNly5bxwx/+ECsrK/7iL/5iyI/r4uJCvZUVKWYz7yiV6E6dwiCXE/CLX2Db/5zGgsrKSvafOcNCV1dmBwVRaTaju3kThZcXXq6uPCgxnp2djUwmGwjMHyY0NJS4+nr0//t/M9tiQVFayse//z03tFrWFRbS4eHBrOnTUajV962TFAZLT6+lqckXN7fxIz0U4RmZNGkSV65c4cyZM6xevRp7e/shzdhB39vJzs4TF5cSbtxIZ+bMOZSV2Yy6t5kI7EZAQ0MDBw8epKKigtjYWGpra7G1tWXGD36AtKXl/nu03llYUV6OqaICdXAw7dOmMWnSJNzd3cnMzOTEiRPU19cP1AvI5fKBZqeaefPQ1NYSamODwt+/L6i7Tx2VMPbk5uYSFBQ00Aaks7PzsTZ8V6lU2NnZ4ebmRkZGBjNnzhzU8uRBqdg76urqcHBwQCaTUVNTQ3Bw8JAet6ysDP+CAnzb2zHI5ehlMtw3b0a5Zs2wn8NIqaqq4ssvv8QzPJzAWbOQ7d1LQGsrNj4+nHBxwSsvj/kazX3rHm/dukVoaOiQCvf1JSWEZWaSU1ZGi4MD3g0NhNjZ4bhyJRN8fHBycECiVkNVlXh/P0JKCmzZEkh7exBbtgSi10N/Tb3wHFMoFMyaNYuDBw8ybdq0R7Y8uZtKBUqlhJoaN7q7G7h6tZLQ0BBUqtG1s4sI7J4ho9HIhQsXuHjxIs7OzrzxxhtkZ2ej0+l46623+j6MHRzuCf3NFRX0/ulPVJaXc6G0FHe9ngSLhcvBwVy7dg2pVIpKpcLd3Z2kpCTc3d1xd3fHxcVlcBrL3r5v3jg///4zgsKY09nZSXl5OS+99BLAwIzt4wR2EokEb29voG/WLy0tjdmzZw/6+YNSsXq9nsOHDzNjxgzMZjPffPMNP/rRjx7Zc85gMHDsk0+YWFxMtdFIhtnM/LAwPO6UCYyBv8+amhq2bt2Ku7s7r7zyCgpra4iNBZ0OOUrfDQAAoHhJREFUT5WKcVotx44dw2g0smjRokHBXWNjIzU1NcyYMeOBx7dYLBQUFHDo0CGqjhzhpYICzN7ehGs0hAYF4d7UhOSNN6C+vu/9/aAZf2GAVgvbt1tobW0jNNQekLJjB0REiJfsRRAfH09qaiqnTp3C1dV1yKnY/nJk/v7vDVhbj6ejo4n4+AI0mrCnPOLhEYHdM1JWVsahQ4dobm5m+vTpzJgxg6ysLDIyMli+fDma/rOJyWSioaGBmpoaampqKC0tpfHUKeakplJiZYWNnR0e0dH49/TgNWsWTjNmoFKphtZcODm578x1vxlBYUwqKCgAICys78TS29uL0Wh8rMAOwNvbm+zsbCZMmMDVq1eZOnXqQO3Rw2bsTp8+TVdXF8uWLUMikfDBBx+QkpLCsmXLBt3OYrHQ1NRERUUF5eXlpKSk0JuWRqROR41EgtrKCqOHx7d1aaP8b7Suro4vvvgClUrFq6+++m0gq9EMjH2yRoNcLufQoUOYTKZBW6tlZ2djbW09kEa/W3NzM4cOHeL06dOUlZVhY2PD7MhIImxtmenmhszXt29mztm57/0cFyfe30Ok00FbG6xalYRcLsHeXmSuXyRSqZS5c+eya9cuwsLChjxjBzB3romjR08wadIienubqK4+RnPzD0dVfzsR2D1l3d3dpKSkcP36dfz8/Fi/fj1qtZrKykoOHjxIUFAQFouFQ4cOUVNTQ11dHQaDgdbWVtrb2+ns7MTPxgb3kBDGe3riGB7el0aVSvGYPBnu2lNySO76wBHGvtzcXPz8/AZ2mejo6ACGt53Y3by9vbl06RKxsbFcu3aNGzdukJSUBDx4xq6qqoqrV6+SnJw8cHJLTk7m8OHDREREYGtrOxDIVVRU0NnZiUQiwcbGhtbWVpJXrqTrww+Z5OaGc1QU9TduoBw3DodRnka8s6eus7MzmzZtemgqdeLEicjlcg4cOIDRaGT58uVIJBJu3bpFRETEwOphg8HAuXPnOHbsGFlZWZhMJsaNG8dPf/pT5s+fj5OT00BZxn1n5sT7e0jupNQ6OpT4+IjM9YsoMjISLy8v8vPzsVgsGAyGR67iB2hpacHJqY3Jk23x9p7Bhx9ms3//ft58882ht5h6ykRg9zRotVgaG8lraOBQZiYmk4lFixbh4+NDWVkZp06dYteuXZhMJsxmM2VlZajV6oGu+tXV1Tg6OhIaGsrEiROJjY3F9uJFkUYVBunt7aW4uHig2SY8mcAO+hrmRkdHk5qaysSJE5HJZPddPGEqL+fSxx8T7OjI5MmT0ev1VFVV0dnZSVVVFT/72c+Ij4/H2toaHx8fJkyYgL+/P97e3mzdupXExESqOjrI8/TkfwUEoDSZKLS356iTE4udnXm8Z/H0NTY28sUXX+Dk5MRrr702pGbQ48ePRyaTsW/fPkwmE1N8fZHfvs34+HhycnL45ptvSE1Npa2tDQ8PD15++WWWLVuGr6/v4AOJmffv7U5KTWSuX1wSiYR58+bxP//zP7S0OHDxYjuhoa6P/Bu4k7Z1dXXF2tqalStX8qc//YmrV68yefLkZzDyRxOB3ZOWkkLX55+jzcmhsbsbZWwsHVOmcPz48YHu1kVFRSiVSt544w2CgoLo7e0lKytroPFodHQ0EydOxM/P79srAHEyF76jqKgIk8k0aBukO4Hd425k7uzsjK2tLdXV1UybNo2bN2+SnZ1NXFzcvanYlBRqf/1rQgoLUfr6crSujgwXF8xmMzY2NkyaNGmg19orr7wyqFwgNTWVmpoaPD09KS4uxmvRIpSbNyNtbsbH2ppDhw+zc+dO3njjjVHXQFun07Flyxbs7Ox47bXX7tlT92FiYmKQyWRc/7d/ozw9nbjWVkpTUjhkb0+uRsPkyZNZunQpEyZMePjVv5iZ+97EKVUIDg7GbJ7LyZNW1NTIBwL+hy2iaWpqQi6X982eAwEBASQlJXHy5ElCQkJwc3N7RqN/MBHYPQFGo5HKykoqUlOx/bd/o721lRqZjBBbW2bW1KB1dcU9PBxPhYKMsjJkMhkbNmxAp9PxzTff0NDQgEqlYt68eYwfP/7BHxTiZC7cJTc3Fy8vr28b1NK3s4h3QwPWDQ3w3ZmeIbizgKK6uppZs2Yxbty4gdTs3anYroIC6v71XynIy6Peyor4zk4ib97E58//HO/ERNRqNRKJhNjYWI4dO0ZVVRX+/v5A34nxzJkz2NraUldXh6+vL7GxsUj9/MDPDwdgnb09f/rTnzh+/DhLlix5Ei/XE9Hc3MyWLVuwtrbm9ddfH3YAbTabsWlsJC4vj/LGRqqBGEdHfubpicfvfof1EFcSC0+GOKW+2KqqJNTVzcFoPI9cXoTZPOGRi2ju9L+7+8Jr/vz5FBUVsX//ft5+++0R770pArvHYDabqampoaSkhNLSUioqKmhoaEBy8ybrm5txjIxkYmQkjnZ2SAsKCO/pgb170ZWW4lJXR/i0aQO7RkRERLBkyRICAgJGTX5eGP2MZWW0nj9P7N2rKft3HphdU4PkH//x0ZeeD+Dt7U1mZiYA06ZN4/PPP6ewsBCpVIrRaOTs2bMU791LVGEhzfb2eLi54Rwejqa9vS+YvKuHXlJSEjk5ORw4cIAf/vCHyOVyDh48SHt7OwqFgilTppCWljaw+OMOX19fFi1axOHDh/Hx8SEuLu6xXqcnqaWlhT/96U8oFAreeOONYaW7GxoauHHjBjdv3sS+qIhkg4HYxYuZo1Zjb2PTlw/sn20VBOHZ0OnAZHLA319BSUkRUVHRlJRYPXQRzd2Nje9QKBSsXLmSzz77jNTUVKZPn/4MRv9gIrAbAovFQkNDA6WlpZSUlFBeXk5PTw9WVlZ4eHgglUpRKBQkLFnC+MxMbK2t+9qWVFWBXI4+JYWGzk4uVFbiaTQSnpWF74IFRC1c+Ni1UMILLCWFzo8/ZvLt2wTpdPTa2lJqY4PNv/0btTU1GNRqgo1GZI/Zv8Hb25sLFy7Q3t6On58fvr6+nD9/Hmtra65cuYJCoSAyKAi5qyvz/f1psben/sYN7AIDcb3P/rIrVqzgww8/5PTp07i7uw9suj1p0iRUKhUymey+Pe8mTpxIdXU1Bw8exN3dHS8vr+/1sn0fra2tbNmyBalUyhtvvIGjo+Mj79PT00N2djY3btygqqoKW1tbYmNjmTBnDh5GI5jNYGMjKvcFYYT0LaKB3t546uqOcvFiCRER4Q99KzY3NxMSEnLP9319fZk6dSpnzpxh3Lhxj9Uk/kkRgd0d/bs63Cm2aGlpGQjkSktL6ejoQCaT4evry5QpUwgICECr1XL+/HkUCgWbNm0iLi4OycmTsGMHxuxsms1mCpRKnLOy0KnVjAsPx8/HB1VjI5KQkL7gTxCGQ6uFHTvQNTRQYWeHvLyczn/4B7Kjopja1IRDWBgNOh2FXV2EWSxIHqN/w50FFNXV1QMnqP/5n//Bzc0NlUrFj370I/bs2YPtnDkktLWhamujXKXisIMDk7u7+W7jDpVKxdy5czl06BA9PT00NzczdepUli9fzvbt2wkICLjvilKJRMLSpUupq6tj+/bt/OAHPxhWPduT0t7ezpYtW7BYLLz55psDtTX3YzabKS0tJTMzk9zcXEwmEyEhIaxbt45x48Z9W2coKvcFYcTdqan7+mtXFIpYamtrePNNGzSagPve3mw209zcPLDQ8bvmzJlDQUEB+/bt49133x2x+mAR2AGkpGD86is6q6tpsVjICAnhpocHEokELy8vxo8fT2BgIH5+figUCiorKzl8+DB1dXVMnDiRuXPnYmtrS3d3N7kqFSXR0TTm59NtZ4e/vz/h7e2EOTkh9/MTV+fC96PTQWsrzXZ2FGdnYxcZSbSLC2Evv4y9tTWYzdSqVFSnp6Pz98ftMf7OnJycsLe359q1a5w9e5bq6mo8PT3R9PdjKy0tpaamhiU//3lf+YBOh5+LC/JLl9i5cyevv/76PSs5J0+ezOeff861a9d4e8ECXomKwlxRQVlZGQsWLHjgWORyOevXr+cPf/gDu3fvZtOmTc+0fqWjo4MtW7ZgNBp56623BtUz3q2pqYnMzEyysrJobW3Fzc2NOXPmEBsbe//ZPVG5LwijQt9bUcrhw90cPbqHxkYfOjv/7L71s21tbZhMpgcGdnK5nFWrVvHJJ59w4cKFQQ3en6UXPrBrz82l5p//mfraWoweHrgbjUwqKSFm3To0kycPamPQ1dXFkSNHuHHjBt7e3rz33nuoVCry8/PJzs6muLgYs9lMQEAAk959l4iIiL4ZhogIcXUuPBn9uYNAg4FyT09ktbVUu7ggsbUlcu1apLt24dnSgl6t5phSyRyJBJ9hPkRNTQ3FxcVcvnyZpUuX8s4779DU1MSO//ovlBYLV/fsIWbSpG+DN40GKbDGy4svv/ySr776irfeeguPu3os5ufnU19fz/TubpZeu4Z9aSnNZjP+dnaE/fSnDx2PUqlk7dq1bN26lVOnTg1q7/I0dXZ2smXLFnp7e3nrrbfuqavR6/Xcvn2bzMxMysvLsba2Jjo6mvj4eHx8fB5dMysq9wVhVNBoYN26MMrLnairq+PIkSOsXbv2ntvd3erkQby9vZkxYwbnz58nLCxsREpIXtjArr29nYsXL5Lz9ddMKijAEBTElClTsLO27gvAXF2hP6izWCxcv36dkydPYrFYWLRoEQ4ODly8eJGCggKMRiO+vr4sWLCAyMjIe6/QxdW58KT05w5cd+xgqk5HZVsbFVOncu3KFdzd3Vn0+usEOjnh4+JCT0oKO3bs4Ac/+MGQVm/qdDpOnz7N7du3sba2Jjg4mLfeegupVIpPbi76rCzaq6pw9PHBNzKSuro6zGYzZrN5oCfj5MmT2bVrF7/+9a9ZtWoVDg4OdHd385//+Z9YNzTwlp0dtTU14O0NVVVMqq3FuaOjb/eEhwgMDCQ5OZnjx4/j7e1NVFTUE3pB76+rq4svvviC7u5u3nzzzYETucVioaKighs3bpCTk4PBYCAwMJDVq1cTHh4+pAangiCMPi4uLkRERFBaWsrt27eJiooiMjJy0G2ampqQSqUPnLm/Y+bMmeTn57Nv3z42b948tJ2hnqAXLrDr6Ojg4sWLpKen09HRgdloxD0khNCQEGTW1vekSmtqajh8+DAVFRV4enri7OzM6dOn0ev1eHl5MWfOHKKioh75ixZX58IT03+h4FZXx4njx2lXKnlz6VLOnj3LF6dPExAQQHJyMuvWrRtIYb722msPTGG2t7dz7tw5rl+/joODAytWrMDGxoYdO3bQ1tbWF3ht305vdzfp7e0ElZXR/Ld/y/5du+hVq7Gzs8POzg4bGxukUil6vZ6bN29y8+ZNZgUHo83KoqKsjJlRUdi0tpLV0cHtM2dQyGTEWVlxcscOHKdPR6PR4Onp+cC6lMmTJ1NVVcWBAwdQq9VPrTi5u7ubrVu30tHRwZtvvombmxutra1kZmaSmZlJc3MzLi4uTJs2jfHjx6NUKp/KOARBeLYSEhIoKirCx8eHw4cPExAQMKiut6mpCWdn50eWg8hkMlatWsXHH3/MuXPnmDdv3tMe+iDPd2B314KIDmdnLl26RHp6OjKZjJCQEPLz8wlYuJBgtRrZ3r19M3VyOcyaRU9PDycPHSIlJYWenh6cnZ2pr68HYPr06URFRaESdXLCSNFokGs0LPL15eOPPyYnJ4c33niDoqIiUlJS+OMf/0hUVBTJycl88803901h9vT0kJqayuXLl5HL5cyfP59JkyahUChob28H+hZQmOvq0N24QW5bG0pXV3Bxwam9nTA3N+o8PDAYDANb8ri6uuLv709MTAxNO3YQd/IkhsZG3vH3J+6115CcPk1vRgbVUinmigpknp7Um0xcPnECk8mEXC7H29sbjUaDr68vGo1mYAZcIpGwfPlyPv30U7Zv387mJUuw6ex8MrPg/eeKHnt7tp4+TWtrK6+88gq1tbUcPXqU0tLSvtXAkZGsWLECf39/0Z5IEJ4zYWFhODo64ubmRnNzM0eOHGHNmjUDP29qanpoGvZuHh4ezJo1izNnzuDkFImVldczS9iN/cDuO6tZB/Tvp2jU6ajr6eGspycV48YxdepUvL292bNnDwEBAWzcuBGpTEZXSAjGAweQnj9PyxdfUPLrX3NJqaQjNpaYmBhiY2OJjo4e0SXMgvBd7u7uLFiwgCNHjhAaGkpoaCjBwcHcvHmTM2fOkJubi729PWfOnMFfJmOcSoVRqeRaTQ0XLlzAYDCQlJTE9OnTB61MdXR0xNHRkUuXLtFTVMT47m68LBZiFy3C02ikQqvF7OJCfHw806dPp7e3l8bGRurr6/tWk58/z7T0dKpaWuhQKlnh44Pk9Gl6pk2DGzeIkEiodHYmKzycqHnzWBcXR21tLZWVlWi1Wm7fvk1qairQV2N3J8jTaDSsWbOGk3/912j37iVYrUZyp271cWvv+s8VpuZmyurqkPn64rVkCV9++SU9PT34+/uzfPlyIiMjsba2fhK/NkEQRiGZTMb48eNJT09nwYIFfPPNN0RFRREREQH0BXYBAQFDPt706dPZt6+dP/uzJry9PXBxkX6vU9VQjXxg96DA7BFMJhP6w4cxfPklBp2OHisrypKSKAkOpiMvj/gDB+jq7KRUr8fdYEBtY8O19nb+v7Q0ioqKBnrQffnllxiNRlTd3WwqKqKnq4t2pZJx9vb8QKnE5oc/xCMhQVydC6PWpEmTKCwsHGgCbG9vz/jx44mKiiItLY3z58/jcPkydXv24OTuToNeT1FYGBFr1zJ79uz7rto0Go3U1dVx8eJF1q1bR8r58yySyfDr6kKiVBLyt39LspcXx44do6CggIiICKytrSkuLqa5uRk/e3vCvbzonjIFg8nE7cZGNFotbTNmcGbWLJwMBnzHj8fN25uDBw/S0dHBzJkz0dx1Dmhra0Or1aLVaqmsrCQvLw+j0YhLZyezsrLQNjfTamdHoMEAH35IHWC4a8HG3R70/pXX1uLx4Yd0d3VxS6dDVldHVEsLN0NDSZw9m/Hjxw/5Cl0QhLFvwoQJXLx4EalUSnh4OIcOHcLf3x9bW1uampqYMGHCkI9VXS2lvn4uPT252NqWYTYHPXJniydhZAO7/itlfWMjRjs7Whcvpjkhge7u7nu+enp6Bv7d1NREV0EBC1JTMRoMlPb24gOYLl/mD87OOJtMBLS0UGplhdFiweDtjaanB1eLhczmZsaNG0diYiL29vZIpVJqa2sxXb+OurKSQjs7oiMimDxpEpL8fFAoQAR1wih2pwnwBx98wIEDB9i4cSMSiQSFQsG0adOY4O5Ow5kzZLe1cai9nXBHR6ZUVNBrZUVPTw8ODg6DAp+mpiZ27dpFU1MT0c7OSG/dIk8i4fUPPkDi4gIqFe1OTvQWFODu7s7Jkyc5efIkHh4evPTSS307qcjlKH71q74mvD4+dBQUUFVdzZ6zZ7nR0EBwcDAzZ8xg3LhxODo6curUKTo6Oli8ePFA/YqTkxORkZEDBcwmk4na2lp0p0/jcvEiN00mLLm5dPj64tbYyPk9e6jz9Bzy66bX67HKzWXWhQtkG424uLkRERNDmNlM4qpVSOPjn+wvShCEUc/V1ZXg4GAyMjJYv349//M//8PRo0dJTk7GaDQO60JPp4Pubivs7VuRSp3x8emr+HqM9qLDMnKBXX+jVX1vLzuysvABbLOySF2wgA5nZ9S9vTibTKBSYfb2Ri6X09XVRVlZGVqtFh+dDieg3MkJ685OOq2tSXR05D9++EM8o6Lw/fRTpBIJ6dXVOHd24uXjg7O/P2+vWMHGjRvp7u7mypUrZGRk9G1ttGIFjvX1JMpkhE+ciKS6WvSbE8aMO4sevv76azIyMpg4ceLAz2y7uvBTKmmYMAHbjg5U7u5Yioo4v28fdZcvY21tjbe3N97e3vT09JCRkYGLiws/j4mh49NP6aqt5Rc+PjhWVXHKZKIgNZW6ujqkUim+vr68//772NnZkZqaSklJCWq1Gv85cwY14XVQKhn3939PTHMzp3/7W27dukVmZibu7u7MmDEDe3t7Dh48SGdnJy+//PJ9V5HJZDJ8fHzwmTOH9kOH8KuvR+/mxozgYAgJIeyv/3rgbGmxWO77OnV1dZGXl8ft27e5ceMGLS0tTLO3Z7aHB4HTpuHQ2gpSKajVT+cXJQjCqJeQkMDOnTvp6upi8eLF7N27d2CR1HACO2dnEzpdCT09rqjVns+sje3IBXb9jVZ7vL2xsbPDYG+PW2srziYTM62siC4oQNHdTd3Nm5xyc+OIwUBrayu2trZ4eHgQHRWFp0JBiK0tZi8vGjIz6QH84uPxSUqCnh7YsYMouZybzc0cdXbGNSaGOXPmcOjQIW7duoWVlRWTJk0iKSmJjIwMssLDedlgQFpQIPrNCWNOWFgYEydO5Pjx4wQEBODm5tb3g/7ed9bl5fiPG0eQlRUkJOD7l39JjUxGVVUVlZWV7Nq1i4KCAtRqNbOCg5FdukRFeTk1EglJBgPa//xP8hcvxmvSJGbMmEFwcPCgPo+xsbFcvnyZc+fOkZOTw5IlSwj75S8HSi0kGg2uKSn4+/sTHR2NVqvl97//PRMnTmTmzJnY29uza9cuvvzySzZs2HDf3SgAzN7enPHwQGVlhZ/JhFQmg/XrkT6g9qWnp2dQr8nOzk7a2towm81MW7+eeGdn3E6e7LvYFO97QXjhhYWFYW9vT0ZGBosWLSInJ4dDhw7h4ODw6A4Y/SwWCzdvHiEgoJWenhVUVNg9s9PLyAV2/R82Tu3thAQFYd/cjM+ECXQEB6PYupWrzc1Ums2ourvxsrZmwooVhG3cSGhoKL6+vn11Qf2pXJqbcY2I4JRazYETJ1iqUDAhIgLWraOtpoavDxygqKeHlzo6+OSTT1AqlSQnJzNhwgSsra2prq7m/PnzzHz7bexDQkS/OWHMWrhwIWVlZezZs+fbLW00GvQvv4z++nU09fXg5wfr12MTEkIgfVeg+fn5aDQa1q9fj6enJzlff01LRQUt9vZYWSxUS6UEdXfjIZcjl8vp7OyktrYWDw+PgXYAMplsYMX4kSNH+Prrr4mIiGDx4sUD23A1NDTQ09PDokWLiI2N5cqVK1y8eJHMzEymTZvGhg0b2LNnD59//jmbNm26b/1fWloaN1QqfDdupNPWlqCNG+95r+r1egoKCsjOzqawsBCTyYSXlxdKpZLe3l7CwsJYsGABERERfWno6dPF+14QBKDvXBYfH096ejrz589n6dKlnDx5kra2tiH3pLt8+TIZGRn8+Z+vxM3N8ZmeXkYusLuzSduOHQTp9RR3ddGzYgW+Dg50GQzUqVREe3nh4+mJm05H8jvvQFzc4GPc1fhXoVKR7OWF8ehRsn/zG9T19ThLJJRWVODj40OOxUJ6ejp/9md/RnR09ECvLIPBwL59+/Dw8GDGjBnQ/0EoCGORQqFg9erVfPLJJ5w+fXqgxUnj+PGcnT0bzeLFgyp3CwsL2bdvHwqFgtdee436+nqOHz8OXV0kBAezUa1G5udHb2kp3T09VPn6Ul5VRWZmJiaTCehLA7u7u+Pu7o6Hhwfu7u6sWbOGoqIijh49yu9//3vmzp1LYmIitenphHZ1EWZvj0KhYMaMGSQkJHD+/HnOnTuHra0tEyZMICsri08//ZRNmzZ9O/NIX8+9M2fOMHHiRMrKyjAHBw88F6PRSGFhIdnZ2RQUFGAwGPDx8WHOnDno9XquXbuGyWRi8eLFTJ48efAJWvSZFAThLncWUeTk5BAXF0dYWBipqank5eURHh7+0Pvm5eWRkpLCjBkzGD9+PPBsTy8ju3iiPzBzbGjgyq5d7MzMxF2vZ5lSyWxfX6yDgvoaBjs7PzgpfdcJWQYsjYuj6ve/p6ioiIKODgIUCla5uZG0eTNnCguRy+WDGqCeOXOG5uZmNm/ePGIb9grCk3SncfapU6cIDQ0lICCAxsZG2pycUM6cCdbWmM1mzp49y/nz5/H390ej0bB79266u7uJiYlh+muvoc7M7JsRLyvDxtkZ5fr1LO4PFM1mMzqdjvr6+oGvgoICrl69isViQSKR4OzsjLu7O1VVVXzxxRdUfPopcSdPMlehwOE//3OgRYmdnR2LFi0iKSmJ06dPc+nSJezt7dHpdHz66ae8+uqrA6tlU1JSkMvlzJ07l9/+9rfY2dkNzMzl5+fT29uLp6cns2bNIioqisbGRo4fP45OpyM+Pp65c+fi4OAwgr8dQRDGAldXV4KCgkhPTycuLg4HBwdCQkIGrZK9n5qaGvbs2UNERARz5859xqPuM+LtTiw+PuS1tZHT1kZ+fj7/8A//QOiiRUh27hzy3qoWi4W6ujpycnKoO3GC2IoKjO7uqB0cwMYGB7OZpJAQ6hQKjh49SlBQELa2tpSXl3P58mWSk5NFfzrhuTJ16lSKiorYu3cvP/zhD2lsbMTJyQlra2s6OjrYvXs3hYWFqNVqampq0Gq1xMfHM23atG/3RH3IVnhSqRS1Wo1arR60vZfBYKChoYG6urqBgM/KygoPgwHlsWM0NjdTplRivHYNp4ICdC0t2I0bh7OzM87OzqxatYqpU6dy8uRJWlpayMvL47e//S0/Wr4cq/Z2yi5eZN6mTZSXl5OVlUVNTQ0uLi6o1WqmTp1KVFQUbm5u1NfXc/jwYYqKiggICGDNmjV4DmPFrCAIwsSJE9m5cyd1dXU0NzezcOFC0tPTOXbsGKtWrbrn9m1tbWzbtg13d3dWrVo1Ym3SRjSwa29v5/Dhw+Tl5ZGUlIRKpcJgMCBZsAAiIx9a82KxWKipqSEnJ4ecnByampqwtbVlfGgomqgoIhwcwNubhqwsauvq2Lt/P6Fz5lBUVMSFr79mTmwsJw8fxtfXl8mTJ4/AsxeEp0cqlbJq1So+/PBDDh06hFV9PaFdXVRevsyWU6coKyvD2dmZrq4uJk6cyJQpU+5bzzbcFKVCoRhYYXu37itXMFVVUW5rS01dHeXNzXgUFrL9//v/qPfywtXVFVdXV2xsbFAqlSiVSjQaDZ2dnZCSQv7XX+MikzHFwYHCtjauq1S0tLSwZMkSFixYgLu7OxKJhK6uLg4fPkxGRgbOzs5s2LCBsLAw0YdSEIRhu7OI4tKlS+j1ejQaDWq1mn379hEZGUlYWNjAbfV6Pdu2bUMqlbJx48YR3Td6RAI7i8XCjRs3OHHiBHK5nHXr1hEZGcnRo0dJT09nxowZKO7zgWKxWKiqqhoI5lpaWrCzsyMiIoKlS5cSEBDQl0718+tLIRUU4OHpifP771OrUJCWlobbjRvY5eRQaW9PgkRC0P/+34/c900QxiKlUslLL71Exr/+K/5ZWdgbjRR+9hlGLy/8Fi5k5syZJCYmDtoL8Wmx1WjA25sos5moyEjMWi2dXV2wahVZOh1lZWW0t7djNpuxsrJC3r9II8zenpieHhq7urhmsRBnZcU0rZZx/fvZLlq0CLVajclkIi0tjXPnzmGxWJg/fz6JiYnPfPNtQRCeH3cWUezdm4bRqKanx424OBW3b9/m0KFD+Pn5YWtri9lsZs+ePTQ3N/P222+PeLnHszvr9e8w0SyV8s3165SWljJ+/HgWLlw4kKtOSkoiLS2NvJMnifH2BpUKi48PlZWVA8FcW1sbDg4OREREEBkZib+//72B2XdSSNYaDQuBRG9vms+coaizkytGIwsiI3E6cgQSE0XhtPBcilIqsauuJqO8nGZbWyKdnXnfxQWXV1/FOjj42Q3krsVS5OUhVSpxfPddpicnMx3o7OykpKSEoqIiiouLaWhoQKFQML5/BwvzrFnoWlqoq65G3tmJc3U1nnV1OLS0kN/UxIkTJ2hqaiIhIYE5c+Zgb2//7J6bIAjPrba2RE6ftkGvt8VodGXjRgnLli3jgw8+4Msvz5KYuJhbt85TXFzAK6+8gscDdr95lp5NYJeSgmX7dnSlpVS2teEwaRKv/eVfEvydDxZXV1dm9vYi++d/psPZmWaTiSv+/tz29sbR0XEgmPPz83v0LNt9ZvxczGZcVCqU4eHYOTpio1BAfv7TbwMtCCNFp8PP2RnpypW0d3YSGRbW16exo+PZj+UhNXv29vbExMQQExMzUDNbXFxMdVoalW1tWNLSMKjVuPX2oqutxfy73zHNYKAyJ4er/v4ok5NZt27dqDipCoLwfNBq4cgRJ+ztHTGbcyktdeG//9uWv/iLdqTShXzwgZnPPtPS2+vEW2+tJzQ0dKSHDDyLwK5/h4lqrZZzFRX4y+WMu36dM1u38o1SicViGfiyb24m4dAhalpbqZVIcDcYmAxMfecdvBMTv3+dTH/vPFVPT9+/n1UbaEEYKSoVMhcX/M3mvqBqpP/mh1CzJ5FI8PT07FvsMG0ahrAwuj7/nK7aWtpNJvQWC8U1NTTb2ZGo17OipwenOXOQiKBOEIQnqH8fBRYvjqW83IHW1jbKyvR8/nka2dlRNDW1YGNThL//VLKyfNFqR8cc0dMP7PpfGdeYGGIdHbGzscG+spJYHx86Q0IGgjWJRIJDcTF+rq4Yk5Kwd3TE0c6ub79WG5sns1/rd9JBosu88Nx7Dv7mFUuWoIyNRanT4VVXh/6DD7B3dMTVzQ1HO7u+GcimJvD1HemhCoLwHOmfC6K6WkJAQDBVVeDuDsuX+6PTmYmL0+HsnICDg3JUJf+efmDX/8rYNjURfWfGIDQUj8WL730FgoMhNRVMJrC3fzqzCw9JBwnCc+l5+Ju/M9On1WLl5kag2QwODiM/AykIwnPrQdfFERG2eHuD2WyPo+PoOw1JLA/aLftJurP1V2vrt69Mf6PT73VbQRBePOIcIQjCM9S/9nPQdfFoPg09m8AO7v/KPInbCoLw4hHnCEEQRthoPQ09u8BOEARBEARBeKpEZ15BEARBEITnhAjsBEEQBEEQnhMisBMEQRAEQXhOiMBOEARBEAThOSECO0EQBEEQhOeECOwEQRAEQRCeEyKwEwRBEARBeE6IwE4QBEEQBOE5IQI7QRAEQRCE54QI7ARBEARBEJ4TIrATBEEQBEF4TojAThAEQRAE4TkhAjtBEARBEITnhAjsBEEQBEEQnhMisBMEQRAEQXhOiMBOEARBEAThOSECO0EQBEEQhOeECOwEQRAEQRCeEyKwEwRBEARBeE6IwE4QBEEQBOE5IQI7QRAEQRCE54QI7ARBEARBEJ4TIrATBEEQBEF4TojAThAEQRAE4TkhAjtBEARBEITnhAjsBEEQBEEQnhMisBMEQRAEQXhOiMBOEARBEAThOSECO0EQBEEQhOeECOwEQRAEQRCeEyKwEwRBEARBeE7IR3oAgjBsWi3odKBSgUYz0qMZ1cRLJQjCmCFOWE+ECOyEp+NpvUFTUmDHDmhtBaUS1q+H5OQnd/zniHipBEEYM8QJ64kRgZ3w5D3mG9RisWA0Gunt7UWv19/zX3NFBR4ffkhPVxcSX1+89XrkO3ZARIS4uvsOrbbvV9DT08u4cQpqaqSIl0oQhFGp/4TV3dWF0ccHu5YWZOKE9dhEYCc8UYbSUgyff05vTw89KhXy2lpMv/0tRTodbU5ODwzaBoI3s/mBx3avqWFyTg7pHR1I8vIYHxNDnI0NVjqdePN/h04HdXXdlJcf5/z5JjZteoPCQhnipRIEYbQx1dfTVFRErsVCV0kJKmdnohUKbMUJ67GIwE54sAekU41GI01NTTQ1NaHT6Qb9W5GTw4Rz58g2GFC6uuLt4YF7czPl16/TFhiItbU1VlZW2NraolQqB/7f2tp60L+/+9+Ojg7Ob9tGx5kzhNrbEzBtGp0FBeQDHiYT7iP3Ko1KbW2l1NS00tnpjEzWTnV13+SpSjXSIxMEQfhWbW0tKcePE9XWRrC7O07x8VSlpZHX24uptJSE2FgkEslID3NMEYGdcH8pKfR+8QW99fV0W1lRmphIgb8/Op2OtrY2LBYLAFZWVri6uqJSqZDL5RTn5SF3dSWotRW9vT0xrq64hIYS/md/9lhXXmazmcuXL3PmzBn0ej26qChW9PTg09ODITyc487OHDp+nPXOzgQFBT3pV2FMyszM5MyZb0hOnsbJk25UVSmQSiWsXy8ufgVBGKanVC9tMpk4f/48Fy5cQK1W4/e//hduJ09CVRXjwsO5HhrKocxMctraWLlyJU5tbWJhxRBJLHc+oQXhDq2W9r/4C65nZFDQ0UG0iwtKFxeKX3sN29BQVCrVQDBnb2+P2Wzm3LlzXLhwAX9/f152cqLwn/8ZB7OZboWCoL/5G5xWrx72MGprazlw4AC1tbXExMSQl5eHRqNh0+zZSJubQaVC7+7Ozp07KSkpYcWKFcTFxT2FF2RssFgsXLhwgdOnT5OQkMDSpUv5i7/4DTk5dfzhD/+HgABxHScIwjA8rF56uAHfXbevlkrZv38/jY2NzJw5kxkzZiCTye45ZklJCfv27cMnN5eFzc24SKViYcUQiDO9cA9DbS01+fl0u7jgIJNRoteT0N5OuFpN8Ny5SKXftj9sbm5mz549VFdXM3fuXKZNm4ZEIuHcxYvMj4/nemkpl+vreddgQKFQDO3xDQbOnTtHamoqarWaN998kxMnTmBra8vq1auR2tuDnx8AVsDGjRs5fPgw+/bto62tjenTp79wU/dms5kjR46Qnp7OnDlzmDlzJhKJBImkCi+vJnGBKwjCsHTk5aH/8EM6Ozqoslhwq6/H7l/+hYbMTGy7u1HduIGiuxuJUolx9WpkixZhY2ODQqG49/zbHyCaW1qo6ezklFqNbNo0Nm/ejKen57e302gGBYlBQUH8aPlyag4fprS5mbbYWPzNZsRKsIcTgZ1wj4u5uTjL5cwZNw6TpycFZ85Q1dxMyv79+NTUMH36dGJjY8nNzeXgwYPY2try1ltv4evrO3CMLldXesLCWLpgAX/84x85evQoy5cvf+Rjl5eX880339DS0sLs2bOZNm0aR44coa6ujrfffht7e/t77iOTyXjppZdQKpWcOnWK1tZWlixZMigAfZ4ZDAZ2795NYWEhK1asID4+fuD7XV1d2NjYvHCBriAIQ2exWGhpaaG8vHzgS5GTw8y8PDo0Giqrq+lpbSW6rQ2X8nLsOjqosbEhx8EBVXc3lqtX2fmnP9Fsb49MJhtUH+2u17MkLQ0poLOxQdXbS7JUivuiRcjuDuoewLari0CVikJ3dyq0WrwmTsSqpASxEuzBRGAnDFJWVsa54mLWvf461jdvQkUFMXFxXPbzw9DRQWVlJbt37+b3v/89UqmUefPmsXLlSmxsbAYdRy6XYzQa8fDwYOnSpRw4cAB/f/8Hpkp7eno4efIk6enp+Pn5sWHDBtRqNdevXycjI4Ply5fj7e39wHFLJBJmzZqFk5MTBw8epK2tjTVr1mBlZfVEX5/RRKsFrbab8+f3YTSWsXHjRkJDQwd+3traCnDP70YQhBfEA9KlFouFhoaGQYFce3s7EokEDw8PQkNDCY6OJrC7G4VMRkJoKL0HDtAtl1NqNBKt1+MskSCXy5FoNPh1dTEtPBytSkVvb+9AlwO9Xo+lsRFzczPlDg5IzGasnJ0J1OuRNDWBv/+jn4NKhUSpxKutjRqDAXNlpVgJ9ggisBMG6PV6Dhw4gJ+fHxFvvQVVVaDTIVOpmObjg31mJtu3byc7OxuFQoGbmxuVlZVcv36diRMnDgqi7gR2APHx8ZSXl3Po0CG8vLxwdx+8hjU/P5/Dhw/T09PDkiVLmDRpEhKJhOrqao4cOUJCQgITJkwY0nOIj4/H0dGRnTt3smXLFl555ZX7zvKNdSkpsGVLD7dva1Eoovn5zxcQGuo26DYtLS1YLBYxYycIL6K76uMsTk7okpMp9PenvLyciooKurq6kEqleHt7Exsbi7+/P35+foMvBE0m2LEDeUEBMrmcYo2G3KIiXPV63I1G/P38kHV34x8UROiiRRAZee8smlYLv/wliWYz3a6u1F6/TqlOR/bRo0xzciI4OPjhz0OjgfXrkX72GW6NjZj7/1/M1j2YCOyEAadOnaKjo4NNmzb1BQJ31ztYLPT09AwECuPGjWPx4sU0NjZy6tQpLly4wOTJk0lKSsLGxmZQYAewdOlSqqur2blzJ5s3b8bKyoqOjg6OHj3K7du3CQ0NZdmyZSiVSgC6urrYsWMHHh4eLF68eFjPIyQkhLfeeouvvvqKTz75hE2bNqHq7n5uVlRptbBtm4mbN29hsWiJjFzCyZPWTJ8++Knl53fS1OSLnZ3tyA1WEIRnr7/hb2d7O2VmM8bMTEw3bpA2bx7O0dEkJibi7++Pj4/Pw7MayckQEUHj+fM0//rXGE0mIidNwpSfj76tjd6SEiwmE6UtLYz7+GMkzs73Lmy4E4jt2IFteTmBQUE4zJ1LZk8PW7duJSQkhOTkZDw8PB46jl4PD85/8AHKN9/EbvLkJ/ZSPY9EYCcAfbVtV69eZdGiRai+M8Xd2dnJ/v37KSwsZN68eUyfPp3Dhw9z4sQJJk+ezI9//GOuXLnChQsXSE1NJTExEaPROCiwUygUrFu3jo8//phvvvmG4OBgTpw4gUQiYfXq1URHRw/MKpnNZnbv3o3BYGDdunXI5cP/M/Xy8uLdd9/lq6++4uQvfsGyzk7sjcbnYkWVTgdFRQ20t+ehUMhQKjtoaLAeVHKSkgK//70bxcUvUVxs4uRJCQsWjOy4BUF4NiyNjTQWF5NjMuGgVKKOicGtoYG4jRuRDTH7AX1ZnLM5OVwuLGTCtGnMa2jA1mCg1sGBC1ZWWFxd8Tp2jHK9HmQyxplMSO63sKE/QLxzca3WaHjLYiE/P5+UlBQ++ugjxo8fz5w5c3BycrrvWBSBgdR5etLl6vp9X57nngjsBPR6Pfv378fPz4+kpKRBPysuLmbfvn1YLBY2bdpESEgIAGvXriUtLY0TJ06g1WpZu3YtM2fO5PLly1y9epUrV67Q1dXF5MmTB96obm5uzJ49m//4j/9ArVazaNEiFi1ahJ2d3aDHPH36NKWlpbz++usDM3hDYTQaaW1tpaWlhYaGBoqLi+kpKsL+0CEyHB2ZsX49kurqMb+iymiso7OzGg+PCbS353HtWhVRUUpUqr63s1bbl6atq2vAw6OFjg4nduy4f5ZEEITni16v58SVK3i3thLq4YFXXFzfec/LC9yH3sq9uLiYQ4cO0d7ezvz585k8eTKymhrQ6fBSqfCtrCRzyxZmBAaCtzfVJSXku7kxzs4O6f0WNnxnxatEIiE8PJzQ0FAyMjI4e/Ys2dnZTJkyhWnTpmFtbT3o7ndmFvV6/eO/OC8IEdgJ96Zg6WseeerUKVJTUwkJCWHlypU4ODgM3EcikZCUlISPjw+7du3io48+4uWXXyY5OZlp06bx93//9xQVFfHb3/6W+Ph4pkyZQmFhIWfOnMHNzQ07OzumTJlyT1CXm5vLxYsXSU5OJjAwcNDPTCbTQOB291dzczNVVVVUV1fT1tZGW1sbnZ2dWFtbE2U0MsfBAauYGCRyOfj4QF7emF1RZTabuX79G6ZN86CmZibZ2SaMRgMazSU8PaeRk1PA3r3FXL8eRHPzNdzcXHFxkdDWJhmrT1kQhCFqampi+/bttLS0EPPjH+N9+TLk53+bqXjYCaB/oUW3nR3Hb98mMzOTwMBAXnvtNVzvzJLdFZxN0Wiwb26m8+RJPEtKiLG1paOkBK2nJ262ttg9+JEGkclkJCYmEhsby8WLF0lNTSUjI4M5c+YwYcKEge4GIrAbOtGg+AVXXl7O559/zqJFi5jcX7eg0+nYs2cPdXV1zJs3jylTpjy0+L6rq4t9+/ZRWFjIjBkzmDNnDrt+8xucTSZcQkI4nJVFZmYmtra2rFy5kpdeeomvvvqK7u5ufvCDHwwU69bX1/O73/0ODw8Ppk6dek8Qd2fHC6PRSHt7OwaDAaPRSHd3N1KpFBsbG7y9vQkJCSE0NBR/f3/Uvb1I/+mfwGzuC+qqqkAqhV/+ckxGOenp6Rw6dIi3336b3l41//VffyIy0oP09P2o1WocHR2xtw/j3Lk55OTk4ejYilTqS0LChLH6lAVBGILCwkL27NmDvb39QFeBITcRTknBsn07bZWVlLe0cDsmhvCf/ITx48c/fOGVVkvbhg3oc3NRWFtjY2VFlbU1Z199lZU/+cm3AeEwtLa2cvr0aW7evImbmxvJycmEhoYikUj43S9+wazoaGLnzBEns4cQgd0LTK/X89FHH+Hg4MCbb76JRCLh5s2bHD58GAcHB9asWfPQFiN3s1gsXLp0iVOnTjG5vR3/K1ewMxiQq1ScVKm46eGBra0tRqMRX19fvLy8OHr0KE5OTkzy8qKnqopTmZk02tgwYcIE5HI5jo6OODk5IZVKB3qytbe309XVhbW1Nfb29mg0moEvHx+f+7f2eFj39DFCq4XKyi6++eZzpkzxZdmyZRQWFvIv//IvQN9MnkKh4O/+7u8ICQnho4+K+c1vqtHrbXBxkfFv/zZhrD1lQRCGwGKxcPHiRU6fPk1oaCgvv/zy8Foc9a9ara2upqi7G2/A188Pxa9+9ejgKSsL/uVfaHVwoDQvDz2gkck4PWUK1Wo1r7zyCprHDMBqamo4ceIEpaWlBAQEsMzGhupf/xpPOzvcQ0LG5Hn8WRGp2BfYqVOnaG9v59VXX8VgMHDo0CFu3brF+PHjWbx48T01Dg8jkUiYPn06flIpup/+lLLaWirNZvyrqwl2cKDlpZdooG828MaNG/T09ODg4IBzejrjpFIUnZ2ESiQ4vPMO3dOn09raSk1NDVVVVej1+oH+SuPGjRsI5FQq1dDaeHyncHesXendiUtv326it3cKTk4mior+m7a2Nuzt7fHw8ODnP/85n3zyCZcvXyY4OBgvr2wWLy6ksrILb29rkpOHXjAtCMLY0Nvby/79+8nNzWXWrFnMnj17+K2NdDpaKyvJ729bEuDrO/RyFZUKlEqUZjPRs2dTd/06dY2NtCkU9Pb28qc//Ym1a9cSFhY27Ofm5eXF66+/TlFREak7d1KxZw+d7e3YBAXhLnafeCgR2L2g7l4F293dzZdffklXVxerV68mJiZmSMcwmUw0NjZSU1NDbW0tNTU1mG/cIL61ldLeXgxmM/W2tgS1t1OXk0O9lxeOjo5MmzYNvV5PV0EBs2pqKOnuRq9WE2pnh/Grr7hUVYXJywtfX19mzpyJRqPB29v7+zUb/k7h7ljR37WAlpY26uvPIZf7s2ePAz/+cQwbN0ZTWlrKmTNncHR0ZMWKFXz55Zekp6dTWlpKQoIHnZ3nsbFxHumnIQjCE6bT6di+fTttbW1s2LCB8PDwxzsOUKnT4efkhL9G01euMtQGwHe1MpEXFeHj64vj5s3k9PRQk5dHU1MTn3zyCevXr2fixInDHptEIulrlrxkCa1nzpBhbU1dQwOBkyahKC4es7XST5sI7F5AdxoR+/r6otfr+eyzzwaujlxcXO57H4PBQF1d3UAAV1NTQ319/UBLE1dXV7y8vHBNSMB49iwz3dwYN3s2lqoqjCYT3j/6EW1OTnR2dg58WeRynC9e5JZCQYiHB0pfX9Q6HSGrVuH4Au73ej86XV8G2cvLzNmzzfj4OGBrG0JYWCheXvbo9XoMBgP19fWEhIQwadIkDhw4gF6vZ8aMGZw/f57e3t6RfhqCIDwJ/TVzJa2t7ExNxcHBgffeew83N7dH3/c+ent72Xb+PP5TprC0owPJUBda3O07GREnjYZXgYKCAo4dO8a1a9f4zW9+w6uvvsrimJi+HSeGmTmRqtW4BAQwo7ubjNpaSi5eJHTcOKRi94n7EoHdi6T/pHDp5k0aGhqQy+WcOXOG6dOnM3v2bGQyGdC3vdfdAVxtbS2NjY2YzWakUilqtRovLy9iY2Px8vLC09MTa2tr2tvb+fTTTwmYOZOl7e19V1RKJVbr1xMwffqgoRQUFHD62jUCvb1Z7+uLS1RU35Winx8EBoII6oCBTAcdHU5MmDCJsjIDMlk1e/aco6bGj/j4+IFdOjw9PUlOTubcuXPk5eURFhaGTCajp6dnpJ+GIAjfV/8Ch8biYlra2khctIhpf/7nwyqZuZvFYmH//v10dHQw7Ze/RPZ9mrjfJyMybtw4goKCuHLlClu3buXs3/0dGrmcaF9fpC4uw6uR658ZtN6xg/G2tuS3tnLe25tZPj6IT4p7icDuRdFfqNVZU4NNWRnq4GC6nZ1ZvXo11tbWXLp0aSCYa25uBvqaCnt4eAz0t7uzHdj9GgZ3d3ezdetWzGYzc371KxTt7fc9Sej1ek6cOEF6ejqhERGETpqE3cGDfTUdw71SfAF8m+mQYmcXj1KZy6xZNbz8chLXrl3j1q1bFBYWcunSJeLi4rCysiI0NJScnByuX7+OnZ0dTU1NI/00BEH4PvprMpp1OgqkUoI8PYmvq0PS0PDY58tLly6Rm5vLxo0bv21K/4TPvXK5nOnTpzPezY2yN9+kWqvF4OZGtK0t1sOtkeufGbTT6XBqaeGbs2fpPXGChQsXPtExPw9EYPci6D8pGPV6jpeXo2hoIMFs5npEBLt37wb6Nor39PQkPDx8YBbOzc1toIfQw+j1erZt20ZHRwdvvfVWX1NhpfKeN6xWq2Xfvn20tbWxbNkyEhIS+tKtCQljdmHDs/BtpsOKtjYnTp/ej9E4h5/+9KcUFhby4Ycfcvz4cXp7e5k4cSI6nY7p06dz9uxZ2tqcqKmRo9WKl1YQxiydDktLC4VdXTirVHiFh3+vfpzFxcWcOnWKmTNnPtbChuFy6O0l2tcXrwkTKCwpIb26mhiFAqfhjr9/ZjAYWGxry5EjR3B2dr6nsf6LTgR2LwKdDoNOR0ZHB3UNDfh4e6OxskIREoLj9Ol4enri7Oz8WDVtJpOJnTt3UldXxxtvvNHXO+k+t7lw4QLnz5/Hy8uLV155ZfC2ZWN0YcOz9O1LFIjROJMzZ87g6+tLWFgYmzZtYteuXYSEhHDy5EkuXbrEypUrKSz0JyVFhdFozy9/KboDCMKYpVLRYrGgaGjALzJyeAscvqOlpYU9e/YQHBzM7Nmzn/xY76e/pkTV04PT+PFUXr1KUUMDzZmZzIyMRKFQDPuQiYmJtLS0cOzYMZRK5WMvHnkePXo6Rhjzqnt7ya2qwkanI8jfnxlBQfjHxpK4eDERERG4uLg8VlB3p0ajtLSUDRs24OPjc89tdDodn332GefPn2fmzJm8/fbb9+xFKwzPrFmzCAwMZM+ePbS3t+Pj44OtrS0JCQksWbKE4OBg6uutSEsLor29A5PpNne6A2i1Iz16QRCGy+LjQ6qfHw6OjjjeabI+3LIVrRZDejqHPvoIa2trVq9ePaSMzBNxp6ZEKkVRXExgUBD277zD5cpKPvnkExoaGh7rsMnJyURGRrJ792604uQ2QMzYPeeuX7/O4ePHmTRjBvMaG7HPyqK9owOXH/7we82SWSwWjh49SnZ2NmvXriUoKOien2dkZHD8+HEcHR15++23H7tRpTCYVCpl9erVfPTRR+zevZtNmzYhl8upqqqitraWxMREJk16l6tXW2houAmYUav1lJRYie4AgjAGlZeXc02pJPJXvwInp+GXrfQvvKjPzSWqtxe/v/orbG1tn96A7+eu1bMSlYowjYb36urYvXs3H3/8MUuWLHn0ThffIZFIWLVqFV988QXbtm3j3XfffazdLp43YsbuOWUymThy5AjffPMN8fHxJP/7v6P41a+ofucdTs2Y8b1zcufOnSMtLY1ly5YRGRk56GcdHR1s27aNQ4cOERcXx/vvvy+CuifM3t6etWvXUllZyblz5/D09ESr1VJWVkZAQAA2Np10dtbg6hqNXG7F7dvNj5u5EQRhhKWmpuLu7t7XXSAubtgzdezYQWN9PUVyOX6+vqhOnhyZ6XuNZtD4PTw8eO+994iJieHAgQPs3bt32O2Z5HI5GzZswNbWlq+++oqurq6nMfIxRQR2z6HOzk62bt1Keno6y5YtY9myZX2tTDQa3ObOpdxkor29/bGPn5aWxtmzZ5k3bx4JCQmDfpabm8sHH3xAdXU1r7zyCsuWLft+jYWFB/Lz82PevHlcvHgRi8VCUVERbW1tuLq6cuLEZ4wfn0doaAgWSxhNTTqx4FgQxqCGhgYKCgqYOnXq4/X21Onoqq3t2y7M1xdVTExfc0yd7skP9jFYWVmxfPly1qxZQ0FBAR999BFVVVXDOoadnR2bNm2ip6eHr7/+GoPB8JRGOzaIwO45U1NTw8cff0xDQwNvvvnmPd2+AwICACgtLX2s49+6dYujR48yZcoUpt/Vm663t5cDBw6wY8cO/Pz8+NGPfsS4ceMe+3kIQzN16lTCwsK4ffs2GRl1lJQ4sHdvGhKJhH/91/n83d8ZmTr1NDExe0hMbB3p4QqCMEypqak4OTkNeUeg7+q2s6O4oQHXnh6CAwK+18KLpyk6Opr3338fOzs7Pv30U1JTUxnOVvYuLi688sor1NbWsm/fPsxm81Mc7egmArvnyK1bt/jss8+wt7dn8+bN+Pn53XObO3uLPk5gV1RUxL59+4iNjWXBggUDV48VFRV8+OGH3L59mxUrVrB+/Xrs7e2/9/MRHk0ikbBy5UpaWiZx6tQMjh9P5MyZWfj7v4tSqSQoyIqwsF4cHFq4ffv2SA9XEIRhaG9v5+bNmyQlJQ00kB8Oi8XC3rQ0bsfEEBgUhLSg4PEWXjwjLi4uvP3220yZMoUTJ06wbds2Ojs7h3x/Hx8f1qxZQ25uLikpKU9xpKObWDzxHDCbzZw6dYpLly4RGxvLSy+99NDl44GBgeTl5WGxWIY8tV9ZWcmOHTsIDQ1l+fLlSCQSTCYTZ86c4dKlS/j6+vLGG288cEsy4enR6Wzp7V2JVHoSa+sSQkOncPCggoQEcHW1RS6X4+PjQ3Z2NlOnTh3p4QqCMERpaWnI5fJ7Sl6G6sKFCxQVFfHqX/81VjY2Y6JfqEwmIzk5mcDAQPbt28dHH33Eyy+/TKBCMaTxh4WFsXjxYo4cOYJSqWTy5MnPcPSjgwjsxrju7m727NlDcXExCxcuZPLkyY8M1gIDA7ly5QotLS1DCsTq6+vZtm0b3t7erFmzBplMRn19PXv37qW+vp65c+cybdq0Z7d0XhhEpwOj0Z74eA9KStpQKOppbfVBpwNvbxsA/P39uXXrFjqdTrSbEYQxoLe3l2vXrpGQkICNjc2w719SUsKZM2eYOXMmISEhfd8cxQHdd4WEhPD++++zb98+Lvy//y9WDQ1429sjcXZ+ZFPOOz3ujh8/jqq7m1BX11Ef0D5JIrAbw+rr69m+fTvd3d289tpr97QceRB/f38kEgmlpaWPDOyam5vZunUrSqWSjRs3IpfLuXLlCidPnsTFxYX33nsPLy+vJ/F0hMd0Zz9ZqTSamppqrlypJDraCZXKEalUirW1NWq1Gmtra7Kzs5k1a9ZID1kQhIfRask/cwbrhobH2lWhra2NPXv2EBgYOKbf746Ojrw2Zw51O3dSXVtLjrU1E4xGXLdvR/KI7ciSk5OxPn+ejr/8S7q8vLDz9HxhurSLKZYxKi8vj08++QS5XM7mzZuHHNRB3/Zh3t7ej6yz6+joYOvWrSgUCjZt2oRer2fr1q0cO3aMhIQENm/eLIK6UeBO708HB3vk8hgsFjOOjkdwcGgBwNbWFoPBQHh4OLdu3RpWQbIgCM9YSgrmf/gHbP7zP1mVlYUyLW1YdzeZTOzevRuZTPZsmxA/JZKmJjxtbfGbPJnmtjaOZ2dTmJ5O0dWrD10gIamqYkZ1NbbW1pyvq6OstJSuzz/HUln5DEc/MsSM3RhjsVg4d+4cZ8+eJTIykpUrVz5WO5HAwEAyMzMfWGfX09PDl19+icFg4O2336asrIxDhw6hUCh47bXXCA4OfhJPR3hC+np/Sjh5soPMzFQ0Gvj666955513sLGxoaenh+joaLKysqirq8PT03OkhywIwnf195zTNTSgdXBgslrdt2XMI2an7nbq1Cm0Wi1vvvnm87GIrT8l4dbby9JFi8g7dYqqzk5ST55EWVPDjBkziImJQVpdPbgGT6dD2t6OQ3g42hMnaG5pIbq6muz/+R88Fy4kKioKd3f3wY+l1Y6JOsRHEYHdGNLb28u+ffvIy8tj7ty5zJgx4/H6GtEX2F28eJHGxsZ79nc1GAx8/fXXtLS0sHHjRk6fPs2tW7eIiopi2bJlz75juTAkGg2sXh1CRcVBoqMTuX79Ovv378fGxobu7m6CgoKws7MjOztbBHaCMBrpdJhbWrheV0d7Vxd2ISGQl8dQt4zJzc0lNTWVhQsX3rcrwph0JyWxYwf2lZXExMVx1MmJLqUSF6mUffv2UfzRR8ysqcFVLkd6pwYvIgKUSmTV1YQGBeHc2YlFJsM5OJirV69y7tw53N3diYqKIjo6GtX1631BdGtrX23LGE7bisBujGhqauLrr7+mra2NjRs3EhYW9r2O5+fnh0wmo7S0dFBgZzab2b17N9XV1cyePZs9e/ag1+t5+eWXiYmJeexAUng2HB0dCQ0NpaKiglWrVrFjxw4AgoODkclkREZGkp2dzbx588TvUhBGG5WKRr0e+9ZW5CrV0HvOabW0lpRw6sgRIidMeP5Wgt61HZmVSkWyqysN27ZRX1/P8gkTcP7v/6aiuZmagADC9XoUO3bAL38J69fT82//hl9XF6rgYA7Y2KDy8eEv33qL4uJibt++zaVLl8g4cIDFV6/i6uKCR3x83+s+zJnS0UQEdmNAUVERu3fvxt7ennffffeeGbbHoVAo0Gg0lJSUkJiYCPSleb/55hvy8vLw9/cnJSWFgIAAVq1ahVKp/N6PKTwb8fHxbN++HVdXV2bPns0f/vCHgTqb6Oho0tPT0Wq1+Pr6jvBIBUEYoNWir6nhir09gc7OSFtasEgkSB7Vcy4lBfPXX9OYmckca2tCZ858Pi/aNJqB18EOeP3119m1axfpx4+zTi5HPWsW17OyKFYoCO/u7pvlTE7m8o0beCoUBK5dS2RdHQcPHsTNzY3ExETCwsIwGAxUHjqE4vJlbul0yJqbcfPxGdZM6WgjArtRzGKxcPnyZVJSUggJCWH16tWPtez9Qe60PTGbzUgkEk6cOMHFixextramqqqKBQsWMGXKlOfzJPEcCw0Nxd7enhs3brBw4UJSUlJIS0ujvr4ef39/HB0duXXrlgjsBGG0SEmBHTtoKSzEt6MDxUsvcaa2lvC/+Rtk/v4Pvp9Wi2X7dnJzctA5OjLR2xurvXshNnZMBiTDYWVlxYYNGzjR1UXJ5ctoiosJDQ6mNiODjrAwHPpnObWAJiEBNBoSNBoaGxs5evQorq6uhISEoFAoCJo0CaKiaM7KorO9HbeurlG5O8dQje3lMs8xg8HA3r17OXHiBNOmTWPjxo1PNKiDvsDOqr6exlOnuLpnDzt27KC9vR2NRsPmzZsff29CYUTJZDLi4uK4efMmJpOJ+fPno1Ao2L59+8Aiitu3b7/QW+4IwqjRv2DCZDSSa7HgplLhfvMm3XZ2mB7RdcDc0EDZzZtk1Nbiqlb31eSNon1gnzaZTMaid9/FvHYt2qoqpAUF2NrZcdbDA7O3N93d3XR1deHq6jpwn+TkZEJDQ9m1axf19fV93+yv45NIpdiWl4/q3TmGQszYjUKtra1s376dxsZG1q5dS1RU1FN5HE1eHnPOn6f1zBnadDoiwsMZ/1d/xZw5c5DLxZ/GWBYfH09qaioFBQU4OTkRFhZGV1cXu3btYs6cOVy+fJmysrJhtckRBOEp0OmgtRVpWBhWNTXUy2QEt7dj29WFyWR64N1MJhOnjx5FWVNDrIMDEePGjdp9YJ8miUTCxL/5G9IjIth37BjOwcHkdXTgef063t7eAIMCO6lUyurVq/nss8/Ytm0b7733Xt/q4eRk0lJTifbywn3JkjEb1IGYsRt1ysvL+fjjj+nu7uadd955KkFdd3c3VVev0vzhh7S3tnKyshI7Gxved3EhOSJCBHXPAbVajUaj4caNG9jY2GBjY8PKlSspKysjOzsbV1dXbt26NdLDFAShv52HpLqaqPBw5HV1lLe00Glj88DAzmQyceEf/gHl9u24mEyEdXUhu3hxzM80fR8TV65k6g9/SGF3N+3t7Zw4cYL669fxqK3Ftatr0G2tra3ZuHEjBoOBHTt2YDQaAehydaU1IGDMv37iE3yUsFgspKenc/ToUfz9/Vm7di12dnbf65jd3d00NDRQX19PQ0PDwFd7ezsetbVMz89Ha7EQHhVF0pQpKIqLx2yxqHCvCRMmcPDgQaKjowHw8PBg0aJFHDlyBG9vb3Jzc1m6dKkI5AVhJN3VzsOpupqgkBC+NBq5otXyjsFwz82NRiOHPvoIj/37sUgkdE6ahLWNDRgM8IMfwKRJI/AkRoe4uDjs7OzYunUrhiNHsOzZwxyDAZt//dd72pc4OzuzceNG/vSnP3Hw4EFWrlyJTCZ7LkpUxBl9FDAajRw5coTr16+TlJTEggULkMlkQ75/V1fXQNB2dxDX0dEB9E09u7q6olariY+PR61W42Ew0JaXR3RnJ+GTJ6Oor3/hpvCfd1FRURw9epSSkhKgL9CfNGkStbW1pKamotfruXixDBeXkLHej1MQxra72nk4qlSEFxay85/+iYMHD/Laa68N1DobjUY+//xzCg8eZENvL7KoKMIiIpAqFH2rOB+jWf3zJjQ0lB++9BIlu3ZRXl+PKiaGcLP5vu1LNBoNK1euZPfu3bi5ueHY2opdYSFER4/pE6II7EZYe3s7O3fupLq6mhUrVhAfH//A23Z2dg6aebsTxHV2dgJ9AZxKpUKtVpOQkIBarUatVqNSqe6ZlcnOzua6ry8vdXVhVVLybUPGMfzHLAxmbW1NVFQUubm5WCwWenp6kEgkLFmyhIaGBj77rJKMDAvu7mO+H6cgjH13tfMIsViIiIggOzubI0eOsCQ2Fn1NDb/bto3jt28zd9w4AuztcVEqkSgUL2Rt3cN4WVnhEhLCfpOJyupquhISsKuouG9GKjo6msbGRko//pjo27fxsLWFrKwxfUIUgd1I6N+2pEavZ9v58wC89dZbaDQaLBbLAwO4rv46AalUipubG2q1moCAgEEB3FBm+jo6Ojhy5AiBy5fjMmXKc7GFinB/8fHxpKen09HRQXd3NwByuZzp0zfwH/9xg87OUqZMCaC+XjGW+3EKwnNFJpPh7u7O1KlTqd26laJ//3eay8qINBiIfuUV5vzqV1ifP983C5WXJy7Mv0ulwsbDg4UKBUdv3iTryBHGT5iA7QMC31nBwZRVV1Oi02GOjMTnATN8Y4UI7J61/n5FzeXlVDU04D1hAh6bNpGZmUlKSgr19fUDH8AymQyVSoW7uztBQUEDAZyrq+uwUrV3s1gsHD58eGDmBnv7MfmHKwyNn58farWamzebyMq6c1HfzfnztzEY7DAacykoyCUqKnYs9+MUhOfKnYbiMS4u+JeVcfv2bbpcXUmOjUXd0gINDYPSt+LC/Dv66xZdduxglocHtysr2SmRMA+436skaWrC39mZXDc3KqqqcHRyIkivRzFGT4gisHuWtFp6v/iCwoICMhsa8AHG3bjBBVdXrIODUavVBPf/904Ad+cN/qTcvn2b3Nxc1q1b93xsEC08lEQiwWSaS0bGOJqaXPnqqxo8PM7i5tZASMgqiovHUVZWgUIRjFJpLzI5gjAKyGQynNraaD16lPaCAmplMuZPnow6MHDwjgh3pW+F7+gPfN1razl04ABXq6qo/NOf2LhxI8HBwYNvq1IhdXFBU1GB3seH3pISblssdBcUkBARgdUYq10Ugd0z0tHRwY39+3G8epVsoxH/wEDCQ0Nxqqkh/tVXkT6ktu5JjuHIkSNERUURGRn51B9PGHlaLWRmhmEyVVJdfYqurmhMphn84hcuVFTY83d/10JTk5KKijL+4R/C0GjEKUEQRpr1hQtMS0mhta4OTVcX9ioVttbWopZuuDQaFBoNC93c0H76KRaLhW3btrFmzRoiIiIG3c60di3G69cJNhhwjIoiMyyMk3l5pFZUMHfuXOLi4p74RMvTIs7iT1l3dzepqalcuXIFu6YmEmUyEt3dCZ0yBUl1NajVfV9P2T0pWOGFoNNBd7cVERFO5OdrCQ93wGDwoadHQnIyZGfn0doqp7OzAqlUCywc6SELwotNq0W+eze1NTU029kRNW4ctvn5mHNyICpK1NI9hoCAAJKSksjMzMTX15edO3eyYsUKxru5DaSy2xITOTt7Nu7z5uESF8dEjYbg5mZOnTrFgQMHuHr1KgsWLBgTTd1FYPeU6PV60tLSuHjxIiaTiaSkJMrLy6lqayNRr0eSn/9MC16zs7NFCvYF1N/7FIslFje3RrKyGvH0lOHkpAEUBAdbU1tbS3T0JFJSUoiIiMDPz2+khy0IL6y20lJqc3Jod3JiUkICDuHhlLW00DRrFm4/+YkI6h5TcnIyhYWFQN+ispv/9V94t7bibm0NSiW9s2bR5uSE7eTJAzOiLi4urFmzhsmTJ3P8+HG++OILxo0bR3JyMmq1emAh5GircRSB3RNmMpnIyMjg/PnzdHd3k5CQwMyZM8nMzESr1fLa3/wNCiurZ/rHIFKwL647vU+3b3dEJovGxqYLP79UUlI62bBhAy4uLuTm5jJ58mRyc3PZv38/77///pirKRGE50FNTQ0Hjh9nuo0NERYLjvb2UFWFQaWiOiCACaMoeBhrrK2tWbZsGV999RUJHh64NDZS09CAzbRpOLW3o9i7F6fAQJycnO65r0aj4e233yYnJ4eTJ0/y4YcfskAqJaGwEEVX16jrFzU2EsZjgNlsJisri9///vccPXqU4OBgfvKTn7BkyRKam5s5ffo006dP75vG1WggLu6ZBHV3UrBSqVSkYF9Qycnwj/8o4S//sofp00/y1389kc7OTj7++GN6e3vp7u6mt7eXlStX0t7ezqlTp0Z6yILwwikqKuLzzz9H5u9P8N/+LXYODsiLikAqRTd+PKb6+r4ZIuGxhYaGEhcXR9rRo7hbW9Pj6kpNfT34+GBqbsbVYkGhUNz3vhKJhKioKH784x+zNC4O2wMHyMnOpt7VFe60Rxklvx8xY/c9WSwW8vPzOX36NPX19URERLBx40bc3d2Bvhq73bt3o9FomDNnzjMfn0jBCtB3DbF27TgqKw9RUVHB5s2b2bFjB8ePH6etrY3m5ma8vb2ZN28ex44dIyIigoCAgJEetiC8EK5fv86hQ4cIDQ1l9erVWFlZkV9ejlV7O97+/vhs2YJbQwNUVIyqmaGxaNGiRWzJyKCitRUfhYLKhgYsNjZ0KxQoPD0feX+5XE5CQABGX18KpFJyCwpQREXhUlc3avpFiRm776G0tJRPP/2U7du34+DgwHvvvcf69esHgjqLxcKBAwfQ6/WsXr36ma+ouZOCjY6OFilYASsrKyZMmEBGRgYKhYI33niDpKQk8vPzOXjwIGazmaSkJPz9/Qf+bgVBeHosFgtnzpzhm2++ISEhgfXr1w+UQVgFBdFoscDp08hlMupdXEbdzNBYZGtry8xXXuGSRoNEJsOpuprO7m4KJkxAERg4tIOoVMhdXYlwdMTJwYGajAzMjo6jZrWyCOweQ1VVFV988QVbtmzBYrHwxhtv8Prrr+Pj4zPodmlpaeTl5bFy5UqUSuUzHaPFYuHQoUMiBSsMkpiYSG9vLzdv3kQmk/Hyyy8TFRVFWloaX331FT09PaxYsYKOjg5SUlJGeriC8NwymUx88803nDt3jvnz57NkyZJBF/9KpRJDbS20ttLt6oq1nR34+EBra9/MkPDYIiMjsXnpJQ7Ex5M6dy7Xly8nT6MZ+ud0f/GyRCYjAujp7SUnNnZUzNaBSMUOS0NDA6dPnyY3Nxd3d3c2bNhAWFjYwAbNd6uurubEiRNMnjyZsLCwZz7W7Oxs8vLyWL9+PXZ2ds/88YXRydnZmbCwMK5evUpCQgJSqZTY2FhkMhnV1dX88Y9/ZOPGjSQnJ3PkyBEiIiLGxPJ+QRhLent72blzJ2VlZbz88svExsbecxulUkmrXI7R3h5TSQlWKpXoY/cELVmyhP8pLaXJZKJHp6O1tXV4EzD9DZBtdDpab97kcmUlfm1t91188ayJGbshaGlpYd++fXzwwQfU1NSwatUq3n//fcLDw+8b1PX29rJ79248PDxIHoFaiLtTsIOaMAoCMHnyZBoaGigtLQX6lvRbWVmxefNm5HI5n3zyCUqlksDAQA4cOEBvb+8Ij1gQnh/t7e18/vnnaLVaNm3adN+gDvoCuzYnJ1oWLaKjqwuvlhaQSkUfuyfEwcGBRYsW0dnZifbKFeyLilD1b+c5ZP0LIaesXYuVlRUnTpx4OoMdJjFj9xAdHR2cP3+ejIwMbG1tWbJkCRMmTHjoPq0Wi4WDBw/S2dnJpk2bHntP18clUrDCo/j7++Ph4cHVq1cJCgrCxcWFnJwcXFxceOedd9i7dy/bt28nMTERrVbLiRMneOmll0Z62IIw5tXX1/PVV19hsVh45513Buqx78fZ2RmA215eZMycyauLF4/ZTelHq9jYWJbb2mLYswe1lRU+ej0YjcNenGJjY8OCBQvYu3cvEyZMGPEshwjs7uPu3SJkMhlz5swhMTFxSL29bty4QXZ2NmvXrsXV1fUZjHYwkYIVHkUikZCUlMTBgwdpamrC1dWV1tZWTCYT1tbWbNiwgTNnznD+/Hns7OxIS0sjIiKCkJCQkR66IIw9/U1sK7u6+OrcOZRKJa+++uojU3YODg7IZDLy8/PpcXNDPW9e34yd8MRIqqqYXVfHWZmMLL2eeLm8b3HKYwTQMTExZGRkcPToUd5///1nPqlzN/FXche9Xs/Fixf57W9/y5UrV5g8eTI/+9nPmD59+pCCuvr6eo4ePUpCQgJRUVHPYMSDiRSsMFQxMTHY2tqSlpaGi4sLZrOZ1tZWoC/wmzt3LmvWrEGv11NVVcXOnTspKuohK0ssyBOEIUtJgV/+kta/+isaf/ITEpqaePvtt4dUhyWRSHBycqK4uBg/P78xs0/pmKLTYdXdjWN4OD16PbltbZibmx9rccqd7Tp1Oh3Xv/mGkTxZihk7HrxbhIODw5CPodfr2bVrFy4uLixatOgpjvb+RApWGA6FQkFCQgJpaWmMHz8egObm5kGzzNHR0ahUKj7//HP27evgyJEyvLzCR1uTdUEYnbRaLNu3U1tTQ5Fej6+zM3GNjUgbGoY8G+RhMFBz8ybjkpKe8mBfUP17LgZ2dnLb2pr2vDzyVSq85XIep4+Fh4cHi+VyFL/6FQaNBoWb24icLF/oS4A7u0X87ne/4+jRo4SEhAzsFjGcoA7g6NGjtLS0sHbt2gd2rn6abt26RV5eHsuWLRMpWGFIJk6ciMFgoKysDKlUSnNz8z238fLyYvXqn2E0rqa0tBxn51rRSksQhsBQW4v29m0KOjrwDwrCf8oUpO3tQ58NSkkh/sABlmVlEblzZ9/sn/Bk9bctkSkUREqlKJ2dyYmN5Q+HDw8sLhsWrZbx+fl0d3aSC1hMphE5Wb5YM3b9tQ4WV1fyOzsH7Rbx6quv9m3q+xhu3rzJjRs3WLly5WMf4/tob2/n6NGjxMTEiBSsMGRKpZKIiAiuXbuGk5PTfQM7gJ4ee4KC4vH1vUlJSSGxsQ5otQ6jpcm6IIw6zc3NHDxxglijkVhvb1x8fIbXqkSrhR07MPT20ublhZ2t7WPXfgmPkJxMVW8vZ6ytsdVoePUXv6Dz+HG2bt3KggULSEpKum/3i/uxNDZSV1hIm6MjbXV1KJVK/Ds6nvmOFC9OYJeSAjt20FFdjbatjbTAQBySk1mxYsU9jYWHQ6fTcejQIeLi4oiLi3uCAx6au1OwixcvfuaPL4xtSUlJfPbZZ9jZ2dHU1HTf26hU4OIixWiMwWjMJDW1jPDwMFSqZz8zLQijXUlJCbt27cLG3h7/X/wCl+PHIS/v243ih/IBr9PRUlGBzsaG2HHjkHp59R1jLF1N9U+koFKN+jHr3d3pDQ/HJJdTXl7Opk2bOHnyJMeOHaO6upqXXnppSJm49NJSZD09TPLzo9XREd3Nm7iEhuL0jPsOvhiBXX+tQ2VFBRm1tQTb2LCytxenuXP7Onk/JqPRyK5du3B0dGTp0qVDjuqfpFu3bpGfny9WwQqPxdfXF29vb/Lz8x9Y0N2frWDHDhlWVjFYLHm4uZ3CyysZGLmVX4IwmlgsFq5evcqJEycIDAxkzZo12NrawpQpww5wag0GanQ6/J2d8fH0HHuNifsnUmhtZawU5VpZWREQEEBOTg6JiYksWLAALy8vvvnmGxoaGtiwYcNDGxjn5eVx5OZNlm/YgGtBAS4tLZiUSo46ObG4rQ2nrKxnFuS+GIGdToe+oYHspiZkCgVNNjbY5OeTffAgfi+9hI+Pz2MFZSdOnKCxsZF33313SKtmnzSRghW+rzutT65cuUJOThuZmRbc3CT3nHv6m6yj01nR2+vG8eMHOHSol+XLl4/IBY0gjCZGo5FDhw6RmZnJ1KlTmT9//rerWDWaYX2Yd3R0sO38ecJnziSutRVJfv7wZvtGmlaL+euv6enqwi48vC8oHSNp5MjISM5++SVdly9j5+tLTEwMarWa7du384c//IF169YREBBwz/1qa2vZu3cvERERjF+7FqqqkOh0+NjZkfXrX1O9eTMOnp5InZ2fSZD7YgR2KhWtgJfFQszChXQVFdFia0uWVsuJ/i77ERERREVFodFohvRBlZubS1paGkuXLsXT0/PpP4fvuJOClclkIgUrfC9RUVG0tSVx7tw4tFoTrq7y+557vv188sbK6iX279+Ph4cHkydPHolhC8Ko0NbWxo4dO6irq3vg9mBDZTQa2bFjBxaLhRn/9E9I7+wLOwbSmQBdXV3cPnYMx/R0iuRyQiUSwkJCRn0a2WKxABBZXQ1nz9KTlYVdYCCsX49ncjKbN29m9+7dfPHFF/fU3XV0dPD111+jUqlYuXJl3/f7T5Y2lZXMqasjt7GRYl9fQu+sPHvKQe6LEdhpNNyKisK3pQV5URFOSiVOmzfzg3nzqKioICcnh+zsbK5cuYKTkxMRERFERkbi5+d33yCvpaWFAwcOEBkZycSJE0fgCX2bgt2wYYNIwQrfS22tnObmBXR15eLl1UZ3t+sjzz3jx4+noaGB48ePo1KpCA0NfbaDFoRRoLKykh07diCVSnn77bfx9vZ+7GNZLBYOHz5MTU0Nb775Jo6OjuDoOPLB0INq5e76fpOdHZcvXyYzMxPH1lZWeXkRYzSiratjnI0NkjGQRnZqa8Nm/35sra1pcHPD9a4gzE6jGVR3V1NTw7Lx45E0NfHNqVOYZTI2btyIRCKhrKyMyspKKioq6E1LIykvj3ZHR8a5uoKr6zMJcl+IwM5kMnHV0RGHn/0MQkIG/kClQEBAAAEBASxatIjKykpycnLIycnh6tWrODo6DgrypFIppvJyTn/2GW4SyYiloe5OwYaHhz/zxxeeLzodODh4ExRUSnV1JVFRLuTnSx557pk3bx4NDQ3s3r2bd999d0RWhAvCSMnIyODIkSP4+Piwbt26YbfI+q60tDRu3LjBqlWr0Ix0MHfHg2rl+r/fVVtLbVcXFzUa6mJimD59OpMmTcLu0iU6P/uMnowMuhQK7N94Y+QD1Eew7eqC1lY6nZ2xs1j66u/vCsKkUulA3d3NX/+aov/8T6x6egjs6cFj+XJ27NhBTU0NZrMZa2trNBoNEdOn41tTQ7idHTJX12dWK/lCBHZarRa9Xo/vlCnwgCsqqVSKv78//v7+9wR5aWlpODg4ML2nB9cTJxjX2EhgXBw2Fy4884JQkYIVnjSVCtRqa6TSeHS6m9y4UYeXl+cjzz1SqZTVq1fz6aef8vXXX/Puu++K2WPh+abVYqqv5+ytW1woLWXixIksXrz4e28fVVJSwvHjx5kyZcrwuysMZ/XpMG9r2b6dnu5u2lxcoLoaw3/9FzdTU/HYv5/uzk60gAaY1NuLfv16XAIDMZlMWObPx66+Hml2Nh1NTdifPg1q9eDPy1G2arbbzo5eGxukRUW4+fk9MAiLcXEhuLeX7NZWshobiXR2xv30aXoDAxm/eDG+vr64u7t/W2Pp7NwXHA93ZfT38EIEdsXFxdjZ2eHl5TWk20skEvz8/PDz82PhwoVotVqKz53D8n//L+Xt7XS7ukJJCbb/5/9Q19yMMioKDw8PXF1dn/q2Lzdv3hQpWOGJ+nbVqwtNTeHU1FSxdq1xSLMG1tbWbNy4kT/+8Y/s2rWLTZs2jegeiYLw1KSkYPjyS7Q5ObiazWx8+23Cli373odtbm5m165dBAYGkjzciYLhrD4d5krVutxcum7epNrRka7eXvQ9Pajq67nV2IhLYyPdPj4EurigkMmQVlSQevAgddeuAeDa1cX8ixdpt1goMJtJrKvD+o9/xOLtjVNkJJKTJ0fVqlmLxUK7UkmhtzeSnBxUjY3g4nL/IEynw1avR69WY6/X45mQQLBeT0xSEtwvKP925ZlYFfskFRcXExQU9FhpU4lEgkajoaa7GzuLBadJk3B1c6OzvR1ZURGFV65QmpMDgFwuR61W4+Hhgbu7Ox4eHnh4eGBvb/9EUrYiBSs8LXfOPY2N7ly8eJmamuM0NAwtveri4sK6dev44osvOHbsGEuXLn0GIxaEZ0irRb91K6UlJeicnIh1c8Phxo2+Wafv8UHd29vL119/ja2tLWvWrBnexEB/E2PMZtq8vbFrbkb+oOLYu27bGxiIVUMDkrtve9fsWbO9PadOnaLg9GnmdndjazSit7dHbbHgFBrKy+++S1BKCjKJpC9dWVUFnp4E/q//RbO9Pc3NzfSmpeGcmkqxQoHZbCa3rQ1VcTHnf/c79I6OzL94EZlEQvi8eaNm1axEIiHVzg6vd98lfurUBwdh/Ysx7VpaiAgLo6uwEHN0NNKHpTiGuTL6+3ruA7vu7m6qq6sfe5GD2Wzm6NGj5Ofm8mpwMB5KJbi7g8EAsbEE/PzndLq4UF9fT11dHXV1ddTX13P79m0MBgMAdnZ2A0HenYBPrVYPq0WKxWLh4MGDyOVykYIVnoq+c4+EiIjFfPJJFdu3b+fdd9/t68X1CAEBASxdupSDBw/i7u7OpEmTnsGIBeHZ6NZq0d66RbObG/ETJmBrZfX9iuC1WiyNjRy7dInWtrYhv88G0emgtRVLWBi5GRlYjEZiraywu9+YdDrMLS3cNpmoKyjAwdYW364uetLS8M3KwmrfPoxNTVS0tLDPyorLDg6oVCqKEhKYWllJsEKBQ2goslde6bsKVKvvSS9aBQXhQd9+qTg40HzgAD4lJfgmJaHq7UXv64vdq69SnJZGd10d1U5OhFgsyL9TyzZS7sQK09auhaioB99Qo+GKvz+BdXUESKXcNhrJHz+eiFGQTr7juQ/sSktLsVgsBAUFDfu+JpOJffv2cfv2bZa/9hoejY33zZXbA4GBgQQGBg7c12Kx0NzcPCjYKyws5OrVq1gsFiQSCS4uLvfM7rm4uNx71abVUpCaSm16Oss2bxYpWOGpuju9unv3bl599dUhzSQkJCRQX1/P0aNHUalUj/WeE4TRxmAwsO/8eaLkcsar1dhYWX2/Ivj+lGhDYSG+7e0k/PSnj7fwqH8De0l1NXHR0ZRfvkyeToexuJhJsbGDs0QqFbVdXRhqahgXF4e0uppWi4WLR48y/upVerq7qZZIcGpvJ9HJieCf/pRxc+cSEhKCVX39vWnER6QXe9zcOKlSMaGpCTedrm9V7OrVZDY2UlpVxTKNhhhfX+QSyahpvlxXV4e/v/8jV/hrtVquODoS8s//jLWLC3VpaeS2txNqNCKXj46QanSM4ikqLi7Gzc3toR2j70ev17Nz505KS0tZt27dtw2Ah5grl0gkuLq64urqOqh5sMFgoKGhYSDYq6urIz09nc7OTgAUCgVqtXog2AsoLER57BjmW7dY5eFBYGUliDSs8JS5urqydu1avvzyS1JSUli4cOGQ7rdw4UIaGxvZtWsX7777LqpR3uJAEB7GbDaza9cuyoxGFvz859icOvX9iuD7FyTU1dRQAIzz9MTz0qW+QGm4x/q2OBabsjJCx40jMzyco7dukd/ZyapVq/pW6mq1VN28yWVbW6b7+ODZ2Yne05O2iRORFxfTWVNDgURC8LhxRM6ciWdzM9IZMyAy8tvHud/YHpJePHXqFIUBASz8f/4f0OvJbWjg4I0bWCwWFr7+OqGLFiHZufOZLih4GEVdHXaFhcRNmPDITFpqaioqlYr/v73zDm7zvPP8BwBJgGABSAAESYBNpEhKbBIpylalSiSqWZaLZJW423FyudnJ5vYuu3OZTbKzNzvZu+xudlMcO4kd27IoK5JsyVQh1ZtVqMIqsYq9gSDAAhJEvT9IwaTVKFli0/uZwUAD4H3xvHyh5/k+vxqblQUiEZk6HRd/+1uuXbs2buXPvsmUFnZut5vq6moSEhIe6Lj+/n4+/fRT2tra2LZt20jLw7f0lXt7exMeHn5bvSOLxTLCutfW1kb9uXN4HT7MlbY2FDNm8HR4+ISIRRB4Mpg2bRrZ2dkcPHgQrVbLrFmz7nuMWCxm48aNvP/++55MWZlM9vgHKyDwiLkV/lJVVcXWrVtRx8XBokXfKgi+++ZNOouKqPP1JSYuDm14OJSXP7wbcpjlTKxSka7Xo6iuZu/evbz77rtsCwlBc+wYvVevkhwQgGXVKvYDlZ2dVJeX425oICk0lJfi41HOnDloPQsK+lbWs4aGBgoKCsjOzsYZFsb23FyqqqpITk5m1apVX5eFmTlzYmTF5uej/f3v2VBaSlp+PsTG3jWRo7Ozk+vXr49oIapWq0lKSuLq/v3MFouRhISM+/o8pYVdZ2cnZrOZ2NjYUR/T09PDJ598Qk9PD6+++iq6b9FL9kHw8/Nj2rRpI0RkW14erV98QZuXFzMiIvCKipoQsQgCTw5z586lra2N/fv3o1KpiIiIuO8xMpmMrVu3ely5W7dufezZ4gICj5pjx45x9epVnn/+eeLi4gZffMiNvdvt5sqVK5z78kuWiMXM1moJvJV48DBuyG+WChk2ptjYWL7//e9z+E9/ouU//oNaq5VmkYionh7Ee/bQ/dJL2EJCUPb0MOc732G2jw8+e/c+EuuZ0+lk//79aLVaHA4Hv/vd75DL5Wzbtu12F+cYJxTckaGkkn6LhfbgYAIDAu5pPDl//jy+vr63laRZ7nZzc/9+us+eJSg6etyzfKe0sKupqfHUpxsNJpOJjz76CKfTyeuvvz6uBVeLi4s5lp9POjAnLIyYe9TVERB4XIhEItauXUtHRwc7d+7ke9/7HoGBgfc9TqVSsXHjRrZv305eXh6rVq0ag9EKCDwaLly4wOnTp1m5cuW3ahEGgy3H9u3bR1VVFekLFpCQlYXPnj0PL6RGUbbE39+f57OyaNm1i68GBghSqdDGxuLf0EBRayvisDC2bdvGzFvu1rS0b289a2yk6MgRjIWFyOLiOHr0KE899RTLli0bl17qo2IoAaXd2xsXIImIuKvxpK+vj6tXr7JgwQK8vb09r7sbGvDevRvbwABtwcEEjVHbsHsxpYVddXU1ERERSKXS+362ra2Njz/+GKlUyquvvopSqXz8A7wDLpeLY8eOcebMGXTx8VTPmcP6/v7J1whaYMogkUjYtGkT77//Pjk5Obz++usjJra7ERsby6pVqzhw4AAhISGkp6ePwWgFBL4dpaWlHDp0iHnz5jF//vyHPo/b7aaoqIiDBw/i7e090mqVmvpwQmpY2RKDSoXcZMJ3xw7EdxARIrUa34AAZhoMxMycSXtVFTc7O1FMm8aLr78+slPGt7We5efT98EH2M+dY5GXF91SKRk/+cmYebwemqEEFO8bN/Dx8sLd2HjX9mcFBQW43W5Pxr/L5aKsrIzyzz4jsagIcUQEYTod+PuPu2dtygo7p9PJzZs3WbBgwX0/29DQwPbt21Eqlbz88sv4+fmNwQhvx2q1snv3bqqqqsjOzqayspKe+fNRPvMMmEzjH4sg8MTi7+/P5s2b+fOf/8y+fft4/vnnR1WbMTMzk/b2dnJzc1GpVKO2ngsIjAc3b95kz549pKSksHLlyoc+T29vL19++SU3btwgNTWV1atXjyxn8rBCaliJk4oLF3AMDKAxGrnx/vvI581Dr9ej1+tRKBSIrl/HYTCgbWtj4LPPsKlUBPzt37LhBz94tK0wGxsx/+EP1NbUUC+XMz8qitDeXsRu96P7jseFXo/t+eexnz1L5MAAbpEI0R2MJ47aWm5+/jlPp6YikUg4d+4cFy5coKuri+TgYPRJSQT6+yPy958QnrUpK+yampoYGBi4b3xdVVUVO3fuJDw8nC1btoxboHdHRwc7duygr6+P7373u3h7e3P48GE2bdqEODISIiPHZVwCArcICwtjw4YN7Nq1C61Wy8KFC+97jEgkYvXq1R5X7ttvv01QUNAYjFZAYJQMxau1ORzk5OURHR3Ns88++9Dip7S0lNzcXEQiES+99NKIqgjfmmElTubNnUt/VRUWpRKZTkd5eTnnz58HQGu3s+LsWVq6uuhSq0kJCCAiJgbp+vXwCEWd2Wzmq08+IbKsDNH06axJSEAulY67xepBaE1OJjczExWQ8r//N9Jvaob8fMy//S2zb9zA/9o19p46RVVMDMnJycybN4/Q0NDBundj3DbsXkxZYVdTU4Ovr+8924iVlJSwd+9eYmNj2bhx46jcS4+DiooKdu/eTWBgIG+//TbBwcF8+OGHhIaGPtpJQUDgW5KUlERbWxtHjx4lJCSE+Pj4+x4z3JW7Y8cOsrPfpLdXKhigBcafoXg1m8FAW0sLqfPn850f//jB2uINCcN+uZwvr12jtLSUmTNnsnbt2kfv/RlW4kRcUYGfQoHfW2+xZijGzmKx0NTUROfx45h37OBaZyezMjKInDdvMJznEYkth8PBuXPnOH36NJqBAZ6eMQNlYCAiqXRCWKwehJaWFixBQXgpFDhCQxkeuGWrqaH9V7+isqKCDqmU+O5uFre08Mz/+l/4Dy87Ng5tw+7FlBV21dXVxMTE3DUbr6CggNzcXFJSUnj22WfHpb+l2+3m7NmzHD16lISEBJ577jmkUik3b96ktraWLVu2PFqTuYDAI2Dp0qW0t7eze/du3nprdG3H5HI5W7du5Sc/OcKuXY2oVNNQKkXjnTwm8CQzFK9mt9m4ZrXiJxaz0mTC22AY/cI8JAy7Gxup7ezEmZrKiz/6EUlJSY9v7r6HiPDz82P69OnknT6Nn48PkV5exMbEIGpufmRiq6amhtzcXEwmE08//TRZWVlIT52aUBarB8FUXEySw0Fvby9OpxO73U5hYSEHDx6kPT+fDaWlVHt5sSgzk/jYWCSVlTAwcPuJJkKW7xBTUthZrVYaGxtZd4cGzW63mzNnzngydlatWjUu4slut/PFF19QUlJCVlYWS5YsQSQS4Xa7OX78OOHh4aOyhggIjDUikYjnnnuOP/3pT+zYsYO33357VO2QBgY09PSsobOzConkPAEBT7Fzp1goyygwPhiN9Le2cqajAy+plJSFC/Guqxu1VctZV0fX73+Pob2dDh8fQuVyXrDb8VYqH6m7847cSUQMtSk7eu0a5xsbSVi4kMADB1AZDIMtwL6l2Oru7iYvL4+SkhKioqJ46aWXCAkJGXxzvCxW3yz78qDk5xP1wQdM7++ntb+fA93dfGGx0NraSkBAAMufeoowhwON3U7i9OmPVCA/TqaksLvVRuyb8XVut5u8vDy++uorli5dyuLFi8dF1HV1dZGTk0NHRwebNm36OuWcQUtjfX0927ZtE6x1AhOWW23H3nvvPXbt2sV3v/vd+9aqMxoBFEREiCgtrUAikeDnl47R6CUIO4Exxe12c62+Hlpa8DaZUKWl4dvZOapFu7u7m8uXL1O/fz9zbtzAHhdHYlQUwQrFI3V3PhD5+bhzcmitqCDYYmHb22+zy8eH6tRUVv/iF6BWf6vadBcvXuT48eN4e3vz3HPPkfrNlmUw9harUZR9uSO3xKDNRv+HH9La0kKzSISirQ39vn1kLl9O0t//PYsXL0Ymk7H7+9/nqdraSVWZYkoKu+rqalQq1YiSJS6Xi3379nHt2jXWrFnD3Llzx2VsdXV1fPbZZ3h7e/Pmm28OBl4OcctaFxER8XVBTAGBCUpQUBCbNm3i448/HlWtuqG4b/z80oiI6KGiopfQ0HLE4nBASKgQeIwMs+z0q1Ts27eP69evs2rDBgL37kXX0zP4A73Lou12u6mtreXSpUvcuHEDLy8vnkpLY1pbG75SKSiV4xdbNuRSNhoMlNjtzNbrUV++TI/Nhs+0aYhG0THmbtTX15Obm0t7ezuZmZksW7ZsYnSSGbrmgf5+Kp1OAmtrkfzbv9Ha14dXdDRyuXzEw8fHZ1CIDolBR2cnjbW19NTWUup2k+TnR6RYjB5Y0N+PSCwGX1/q6+spCQtj3htvgEw2IeLnRsOUFHY1NTUjrHUOh4O//vWvVFRU8MILL5CSkjIu4yooKODAgQNERkayadMm5HL5iPcrKipoamrilVdeEax1ApOCmJgYT606rVbL7Nmz7/rZr+O+Jfj7ZxAQUEZExDkOHOgkMHCzUAplAvBtPVsTkmGWHYuXF4eUSm5GRbF582b8/PzYZTLx8po1X/fgLiz0/AEGBgYoKiri4sWLGAwGNBoNq1atIi0tbbA+6q02j+MZWzZUAmVAo8HR1oZIr4f6eoLa2wlftuyhTmmxWMjPz+fatWvodDq+973v3TMRccwZumZHRASu2loMUikBTU1cPXKExjsIa4lEQojNxuJjxxABBS0thPf2kmi3szAoiEQ/P3r7+hBpNIMJIEMFhktKSggMDCR87tzH715/hEw5YWcymejs7PTUIBoYGCAnJ4eGhgY2b948LnFrTqeTgwcPUlBQwNy5c8nOzr4tWeOWtS46OpqYmJgxH6OAwMOSmZlJW1sbX375JWq1+p5tx74OxfHn4kUjbW1tKJUaPvroI9avX39bqx6BseNhPVsTmmEFfWukUoxFRcwMCGD5D3+IMjGR8+fP0xccTPDSpXDsmOcP0O/jQ9HMmRwTi7Hb7SQkJLBmzRqio6NHbronQjbkkCk8zOnEpNNhystDbrOxsLeXED+/wRs7Shely2CgqKmJQyUliEQinnnmGdLT0yeeoWHomv3MZlKTkgatpWFhxP/kJzhCQ+nr67vtISoqQikS0eDnh5ePDwnPPIPPV1+hdjqhowOnTIYoNRXi4uDGDVwGA2VlZaSkpEy8678PU07YVVdXIxaLiYmJwWKxsH37djo7O3nllVeIHIdacBaLhZ07d9LU1MT69evvWn3/+vXrtLa28vrrr0+6H5HAk41IJGLNmjUYDAZPrTqFQnHXz98KxZk+PYvf/KYYpVJJaGgoe/fupbOz05NIJDB2NDZCTo4bi6Wf6GgxRqNsvLsiPRqGLDskJlK4bx/dXV2k2+189vvf0zNtGuXl5TgcDg798Y+k7tmDy+HA5OeHq6oK38pKFv+P/0HK6tX3bqM33tmQQ6Zw8c6dzBwYoNdioVoioUQq5bn79D71kJ+P5c9/prWiApfbzeING5j1d393m1dpwjCs7Ms3raVeQGBg4O33LDwczp8nxOHAbrdDUxOGoCCa5s5Ff+gQCo0G77g4j0u9pa4Ov6oqUrOyxuUSvw1TUtjp9XqsVisff/wxVquV1157bUQs21jR0tJCTk4OTqeT11577a6WDJfLxYkTJ4iNjRXcUQKTEolEwksvvcR7771HTk4OK1e+QXe39z2NGHK5nFWrVrFnzx62bt2KSqXiyJEjGI1GNmzYgJfXlJueJhxut5vW1lZyc+u4fDkYsbiCS5dMrFq1lvb24MlSY/bu3ArsbGpidloabVeuYPP2JnHBAlzh4VRVVaFSqXC2t9PT1ESRzca0uDiiMjPRdHYiTkyEUfRGHneGLIfic+cIcLtp6ezEp60N/4QEqK29a0KH0+mk+uRJRP/8z1j7+7FptSQEBOBfXw+dnTBRhR08uLV0SAxKdu4k1m6n02ikUqejuL+f1BUrWNfb+7VIjIvD8dvfstxgINRuB7N5Upmvp9TM6aqvx3LuHLrUVP785z8jEol44403CA4OHpsBDAtQKTGb+eKLL9BoNGzevPmeO77S0lLa29tZv3792IxTQOAx4Ofnx5YtW/iHfzhKTk49wcExBAWJ7+nSS0lJobCwkNzcXH74wx8SHBzMnj17+Mtf/uKJgRJ4tLjdbtra2igtLaW0tJTOzk5sthA0mrX098djsVyloqKXqKjgiV7V4f4Ms+xE9/ejTUvjsFLJ9bo6shMTme7ry9rZswkJCqJ+3z4ygoKInT0bcUvLYELEZPoD6PUwfz6ivDzUra10+vgg7ei4Y0JHV1cXly9f5sqVK/hVVZFtsRCSnk5IWBgil2vydI54UGvpkBj037mT5vfeI+jKFVY0NDD9pz+lLy2NvoYGLGYzfh9/TFtrK+q0NERu9+isnhOIqSPs8vPp//OfSb98GfuJE8QuXsyS//N/7m1Cf8Tfz86duM1mmi0WrqjVzHjuOZ555pl7drS4Za2bPn06+knyoxEQuBsORyjd3WswGCpobi5AoZhJY2MQIlEvc+aEDvawHOZmFYlErFu3jt/97nccP36c7OxsFAoFO3bs4I9//CNbt24dVQFkgXvjdrtpb2/3iDmj0Yivry8zZsxg7dq1REdHc+yYhH/6p3LE4pl0dZnZuFGPXn/vEjaTgmGWHV+VitUaDY79+/nqn/6J2cXFhF+/Tp3JhCUsjKTgYMQVFfdPhJioWSZ6PQMbNtB7+jRxDgciicRzHS6Xi6qqKgoKCqisrMTHx4fU1FQyly0jxOEAhwNcrknXOeJh8L9+HadUytW+PuY6ndT+8pecWLKE7sBAtK2tZFVX4z9jBrqICPDymjxCd4ipIeyGAmSbGhoo6O0lVSplTnU1FceOMTCKRcE9ymbFd/ucT3s7UR98AC4XjW434tZWsr28CMnMRHSfNmVFRUUYjUZeeOGFUY1BQGAiYzSCWBzEvHmRlJZ2YTaXYzBEs2PHOc6c6cTPzw+9Xo9Op/M8BwUFsXTpUvLz80lOTkan0/HWW2/x6aef8qc//YlNmzYxbdq08b60SclwMdfR0YFMJmPGjBmsXr2amJiYEUlcy5e7yM8/TFhYMg0N10hICASix23sj5Rhlh0p8MJTT1Hzr/9KS1cXp6qq8HO5iJTLKVyzBl+FAp+wMKSxsfibTPj5+eHj4/P1uSZ4lsl1vZ7PZ80iQa0m4x/+gV6lkiunTnH58mW6uroICwtj3bp1pKSkfH1dd4lXm5IMxV36xMSQIJejjYtD2dLC81lZSOfORdHTg6/dPmip8/KalEJ3Sgi73ro6OoqKONnQgMPlYkCloquhgaLjx2kPCxtVIPZog7Xv9DlNczOK+nqMajWdXV3ExsaiFYkGYxTukSHodDo5efIkiYmJhIeHj+r7BQQmMrdCmpzOMJYu1VJUZKS1tRmFwkFCQgJqtZrW1lbOnTuH1WpFJBKhVqsJDw/HarXyySef8OMf/xilUsmbb77Jrl27+OSTT1i7di0ZGRkT1lAynnzzb2IwGDxizmAwIJPJSExMJDs7m2nTpt21faLBYEAu72TDhhg+/7yQ0tJSoqOjx/ZixghRbi7amzeR2mw4Ozvpi47GZTZTUlFBrUKBu7wcTpzwfN7b2xs/Pz9CbDaeOngQb4kEt05HoNGI7MMP8Z4+Ha+J8LdqbKTl0CGUSiX1QUF8du4cN27cQCKRkJyczJw5cwgPD799HZsI2b1jhUqF098fd2EhSWlpRIhEEBNDcEYGhIUNPjZvntRCd1ILO4fDwfnz57n8xRekdHQQK5PhFRnJomnTIC6OGf/zf47NzWhshJ4ecLkot1iwVldjT0rC+z4Kv7CwEJPJxObNmx//GAUExoDhyWoVFWK0Wg3vvBOIRNLMpUuXMBgMrFy5km3bttHZ2UljYyNNTU00NjbicDg4ePAg1dXVzJs3D51Ox6xZs5BKpezfv5/8fKisTKe7WzQRDSXjwi3jUXv7AE5nJ9OmXUKluoJUKiUxMZEVK1Ywbdq0USWiXLnSTltbKC5XODNnzqS4uJjVq1fft6PIpKOxEU6epNdmwymRoA0JQdbTAxkZxP34x7jCw+nv78disdDb24vFYvH8W1JSgldfHwaViv6mJpw2G+ryck7/8pfYZsxArVbf9rhjZunj2KHk5zPw0Udozp5lnsvFMY0GQ1gY2dnZpKWl3b+w8Hhn944Vej118+bhKixEazINduX4pnCb5EJ30gq7qqoqDh48iMlkIiA8nLqnn+Y7RiPdDQ04YmLw2rJl7G7GsNUs1m6nVCTiUmws8+/x/Q6Hg5MnT5KUlIRWqx2bcQoIjAG3z4lSYDVz5szh8OHD5OTkeAobz5o1i1lDlfHtdjs5OTmcOXMGGEwqOnfuHG63m4YGN8ePmwkKKmTx4li6uwMmWzzzI6esrJtf/7oPg6EDo7EIh0NLXV0I27bFkpGhJSAggL6+PmpqavD19cXX1xe5XI5MJrtNrOXnw7//uwKD4Tv8y79IWbYsnd7er6ivr596VjujERwOTLGxqNrbkQHY7ZCVBXo9YgYTgfz8/L7uhXqLxEQoKSHK5QKdDkddHdbwcFzr19MikWAwGLh+/Tpms9kTuiOXy1Gr1Wg0msE6j+XlqI8cwae/H5FSiWjz5gffoQwThm6djuaLF7H98pcYWlu54XIxXS5nk9tN2vr1iO7hNXpSuaRQ4Ny8mfTs7LsLt0ksdCedsDOZTBw+fJgbN24QExNDVlYWX3zxBcmvv45MrebLP/yBoDfeGKwUPZYMrWZeRiOu+nryr1whurn5ri7Wq1ev0t3dzZIlS8Z2nAICY8Cd5kSNRsO2bduorKzk8OHDvPvuu2RkZLB06VL8/Pzw9vbmpZdewmg0IpFI+NGPfoTFYqGxsZFTp7q4dCmQvr5icnNLiYqahss1nbo6GXq9//hc5DhgtVopKyujqKiICxes1NYuJibGjkYTj4+PjMZGf/r6GigrK6Ovrw+bzXbbOUQiETKZzCP0+vqC2bcvndbWduLj5bhccPSoGr1eR1lZ2dQTdkPxAv5qNQ1yOWqVCrFcDuvW3f/Yb9RP81Io8H/5ZVJWrGB4PyOHw4HRaKSjo8PzaG5u5ubp0/jk59MwMECfUknwzZtIiou5cuECrvBwfH19Pfdm+GP4a35ffYV0715cJhNGh4PzUVE02e18p6MD/8REdG1tyJRKFC0tiO4TDvQkYrPZqKysZNmyZTBFC6JPGmFnt9s5e/YsZ86cQS6Xs3HjRuLi4njvvfcICQlh2bJluFwu2sPCaPP2Zlwi1oZWs7SUFM43NnLgwAHefPPN2+IZ7HY7p06dIiUlRcj4E3iiEIlExMfHExsby8WLFzl58iQlJSVkZWUxd+5cfHx8WLt2Ldu3b6eoqIi0tDQSExPx94eLF6G3N4qGhvPU1Fjx9a1k9+6vqKgIIiUlhZkzZ07cgqrfAofDQVVVFUVFRVRUVOB0OomJiWHDhkVYrQmIRBJ0usEY7+BgeOedaI+odjgc9Pf309/fT19f3x2fr1/3wWx2o1RaMJutTJ9uo6bGh9DQJMrKzrFq1aqp5Y4dEmfqDz+k++pVukJDCXrjjdFbZ0bhpvPy8kKr1d7mjXFfu0ZfaSlnDAZioqPx8/XFu7qa6cHBtAcF0d/fj8lkorm52XPfnE6n5/jA7m4W5Odj6e2lV6FALxKR3NvL7P/+39Hb7bicTjoMBsQtLTj8/CZVwP9YUVFRgcPhYObMmeM9lMfGhBd2breb8vJyDh06RE9PD/Pnz2fRokX4+PjwxRdf0NPTwzvvvINEIkEikaBQKDAajeM6ZrFYzOrVq/nwww8pLCz0uJpucfnyZSwWC1mTsKK1gMCjQCKRMG/ePFJTUzl+/Dh5eXkUFBSQnZ3N9OnTSUlJ4fDhw8TFxQ1l0t4ylMgJDc1CJqtHqz1BXNygWzE3N5cDBw4QFxdHcnIyiYmJIzMZJxlut5v6+nqKioooLS3FarUSFhbGsmXLSE5O9pRxEovvHePt5eVFQEAAAQEBd/2ujAyoqgKrNZzW1iucPXuT+PjpZGREc+BA3tR0x65Yge+MGZS//z7lKhXPP6gr9CHddCK1Gpe/P5rmZnShofiZzRAXR8j69Xc8n9vtxm63Y7FYKCoq4ubnn+Pd10d3QAB2u53pK1YQ0NQEsbGweTOSnTvR9fRgsNnoXLmS6ZPUlfg4KS0tRafToVQqx3soj40JLew6Ojo4dOgQVVVVTJ8+nZdffhnV0A6ktLSUq1ev8uyzz3peA1CpVHR0dIzXkD1ER0eTnJzMkSNHSExM9ASu2mw2Tp8+TVpa2ohxCwg8ifj5+bFu3ToyMzM5dOgQn376KXFxcSxcuJCqqiry8vJ47rnngOGGEgnBwdE0Nc0gLy8PmUzG9773PRoaGiguLmbPnj14e3uTkJBAcnIycXFxk6aLRXt7O8XFxRQVFdHV1YVSqSQzM5OUlJTb4714NDHeX4tmKTJZGiZTOXr9WebMWcCZM4FT0x0LoNcT/eyz7N+/n2Vm89gs9Ho9hmXLoLISWV0dBAXdM+PSYrFw+fJlCgoK6OnpYYZeT8ysWUTYbJR1deF/q+SKSjXoVpwxg8Y9e9hz8iSLMzIe//VMMm65YZcuXTreQ3msTMjZzmazcerUKb766isCAwPZsmUL8fHxHpem2Wxm//79JCUl3WYNU6vVVFdXj8Oob2flypX813/9F6dOnWLlypUAXLp0if7+fhYvXjzOoxMQmDhotVpeeeUVysvLycvL46OPPiI4OJiCggI0mtkEBER7hMvgGigiIuJpwsPD2bVrF9u3b+fFF1/kzTffxGw2U1JSQnFxMTk5OchkMmbOnElKSgpRUVEet+JEKZ3S09PjEXOtra34+voyc+ZMUlNTiYyMvG8ppkcR4/21QJRjMPhy5swXnDnjZubMmZSUlEw9d+wQycnJHDp0iKtXr47ZYt80cybFq1aR/tJLd/zxud1uGhsbuXjxImVlZYjFYtLS0sjMzBx07aam0vIf/0Go2TyiADEAej2BixbRvX8/itrawR+5YLXz8CS4YWGCCTu3201paSl5eXn09fWxePFi5s+fP6Jzg8vlYs+ePUilUp555pnbJj2VSkVBQQEul2vcJ6LAwEAWL17M8ePHmT17NoGBgZw9e5b09HSCgoLGdWwCAhMNkUhEYmIicXFxXLhwgZMnT3L6tIzPP28hKkpNcLAXzz9vY/lytyf0QqvV8uabb/L555/z0UcfsXz5cubPn8/ChQtZuHChxwJWUlLClStXCAgIICkpCZNpDkeOqMatdMrAwABlZWUUFxdz8+ZNJBIJ8fHxLFmyZNwsjF8LxES8vJZw7NgxFi1aRG9vLw0NDVOyj7WPjw8pKSlcvXqVrKysMVkzrFVVaCSSr+PfCgtBpcKu1VJSUsLFixdpaWkhODiYFStWMGvWrJGlSlasoKy5mc7KShK+//3bhFt0VRWbb9wg1myG69eFukDDKCsrIzw8fMqvvxNG2LW3t3PgwAFqa2uZMWMG2dnZdzSNnz59moaGBl5//fU71uVRq9U4nU5MJtOEcHXOmzePq1evcurTT4ny98envZ1F77wz3sMSEJiweHl5sWDBAtTqWeTltdDbW0dp6W4kkkiuXpVx+vQ5FIqeEce43W5qa2s5ceIEWq2W5ORkpFKpRwCKxWJ8fHyoq6vj+PFKiorEyGRyoqO96enR85vf+CCT9ZKY6I9CoXgs8XlOp9OTBFFeXo7T6SQ6Opr169czY8aM+9cZG0OysrLo6Ojgq6++8my4p6KwA8jIyODy5cvUnjnDtFtuzcdl5crPJ+Yvf8HHaoWCAnC7sUmltA8McEavpzwigunTp7N8+XJiY2Pvaq3tkMmwJSTcPs7GRpSHDiECOkNCiHG5Jl2f08eFraaGrlOnmL18+XgP5bEz7sLOarVy4sQJLl68SFBQEN/97neJi4u742fr6+s5ceIEWVlZREZG3vEzt8Sc0WicEMLOy8uL5/z9afvP/8Srr48XYmJQXLwo7KAEBO6D1eqHRhNHWloITU1aWlsNtLXJ6O72Ji0tmri4OJRKJU6nE6fTicvlorq6muPHj2MwGMjKykKhUHjeu/W5yko5zc1RSCRV1NWZ8PMzYLXGsH37KUJD2wDw9fVFqVSiUChQKBSef996lsvld110h7t4dTq3J/avpKSE/v5+tFotS5cuJSUlZex6WT8gIpGIZ599FrPZzIULFzhxoorwcDdqtWjK6YOwsDDmmEy4f/azwWK1j8uEO9T60tLTQ01/P/LKSgAq4+KQO50sBFb96Ecok5PveyqLxXJnq5PRiLOzk3ZvbzReXqDTTbo+p4+F/Hws777L/OvXievqAn//Kb0Gj5uwc7vdFBYWkp+fj91uZ/ny5Tz99NN3bXdjtVrZs2cPer3+nvFpgYGBeHt709HRQXx8/OMa/n1xu90YjUaaL14kYPt2uru6cISEMDMkRNhBCQiMglvtyXp6ApkxI5mAADc6XS8LF3bQ1naF2tpaQkNDSU1NJSUlhYCAAObMmcOKFSvYuXMnZWVlPPPMM6Smpo44b2MjlJWB0xmLWNzM1avtqFRevPnmBkJCbHR1ddHV1YXZbKarq4uamhrMZjN2u91zDm9vb4/oGy74ioq05OUFYTa7cTo7iYo6j1ZbRGBgIBkZGaSkpEyaguTe3t5s3ryZEye8OXQolOLiXnS6gCnn2RM1NfFUbS03DQYkERFoenrw3bED8SOaowcGBmhsbMR47BiawkJqbDYGmpux2O3I5XLiIiIIjo9HUlkJw0qb3Ive3l4i7lSfTqWiWyQiuK8PZWDgpOxz+sgZEtSmzk6sMTFIvb2n/Bo8dsJu2Da2WSzmwIEDNDY2kpKSwooVK+65c3W73Xz55ZdYrVZee+21e8ZBiEQiVCrVmJc8cblctLe3U1dX53lYLBbC2ttZYTYTOW8e+shIfLy9hR2UgMAo+EYtWBQKEW+9FcCKFStwOJZ63JrHjh0jPz+fmJgYTz27t956iy+//JI9e/bQ0NBAdna2J27t6/OK6OrSER+vIDDwIKdO1bNx48bbhCAMzkH9/f0jBJ/ZbPb0ZW1paaGhwc2VK+uxWPoJCrLg6xuH3Z7BK69k8vTT+lH3o55ImM3+9PauxeG4iE7Xg8s1BTt+GI0Ee3nRO3s2dQ0N1DmdaIxGrr/3Hr5PP41Op0On06FSqUbew7tk3/T29lJfX09dXR319fW0trbidrsJsdnI9vdnnkZDk1KJ3/XrKAMC8NLpoLX1gQRYb28v/v53KMyt11OanIzk0iWC2togMnLS9Tl95BiNuLu66PDxQaNWPxFWzLERdkMNDR2dnTT39nIiNBTb00/z2muvjSqNvrCwkJKSEl588cVRpaSr1erHXvLE6XTS0tLiEXH19fVYrVYkEgl6vZ6MjAyioqLQA9J/+RdwucDbW9hBCQg8AHcr5+Hl5UViYiKJiYmebgzFxcXs27eP3NxcEhISSElJQafTcfjwYZqbm9m0aRMKheIO5/VHqVzNrl27+PDDD8nOzmbu3LkjFnGr1UpHRwcGg4H29nbPc29vLzA458hksVRW6pDJipHL5QQG9iMWK5HLFUxCTYfb7ebkyVIqK8XMnq0lJESNRDIF10SVCklQEDEuF1Hz59NfVYVFqUQeEUFVdTUXL14EQCaTeUTe9NpaQk+exKuvjwGplMYFCygJC6O+vp7Ozk4AgoKCiIyMJDMzk8jIyEFheOQI7NyJxmSiyWSiy2ZDd/MmspCQUQswm82GzWa7o7Bzu92c8fWlJTOThNdeQ5mePoVu1EOiUuGQy/GqqsI/JuaJWIMfv7AbZga90NCAxmYjWypFs24d4rvEyQ3HaDRy4MABZs2aRfIoYg9gMM6utrb2Ww58JHa7naamJo+Qa2howG634+PjQ0REBPPnzycqKgqdTnd7RttIs4OwgxIQeADuV85DJpORnp5Oeno63d3dntIhOTk5+Pr6EhkZSU1NDe+++y4vvvgiUmmsRyh+3VHIn1deeYUDBw6Qk5PDyZMnmTFjBiaTCYPBQE/PYLKGWCwmODgYjUZDRkYGGo0GjUaDSqWirKybY8fqUaszmT8/ivPn6zEYqrl500VqasakstjZbDb279/P5ct16PUb0WoTkUjEU3NNHGYaFldU4KdQ4PfWW6we8jf39/fT3NxMU1MTjY2NlB89ivLgQQxuN9bgYGSdnVBWRs/GjcSlpREVFUVERMSdvVBDOwqJ0YhGLuezzz5DZDLx7Ouvo0hKGtVwLeXlaFtbUfT03Pae0Wiks7MTt06HeNYsYZ0B0Osxfuc7UFxMQHMzPICInqw8fmFnNEJXF/VOJ/VNTXhFReF78yZn/vhHvOfMQavVEhoailarvS0rzOl0snv3bvz9/Vm9evWov1KtVtPb24vVan3oTLOBgQEaGho8Qq6pqQmn04lMJiMqKoqlS5cSFRVFaGjoXeMCPTyKKqICAgL3JTAwkAULFrBgwQLa2to8Is/hcFBSUsKRIyLgJQIC9EilVhYtaiY2tsZjhevu7mZgYIDDhw9TUFDAypUrmT17NhqNhpCQEFQq1R1LkVitVk6d+pSnn47AYllHZaWEmJhoEhJMXLv2Jd7ebaxevXrcSzCNBoPBwGeffUZXVxdvvLGelpaIqb8vvccc7evrS2xsLLGxscBgWzB7aSlmrRaXSISPRIKipYX0NWtG13t0aKfiCzz/N3/DBx98wF+OHuUNiQT/gYF7rhHuvDx47z0WlpSg6ekBi2VEwGPDV18R2taGKyhoQmVZjzcNiYmcWbqUtG3bBoXdlPsBj+TxC7uhCOj4vj5MsbFoHQ6CY2Lwi4yktrmZwsJCTy88hULhEXlarZby8nJaWlp46623kEqlo/5KtVoNDO5edDrdqI7p6+vzxEXU1dXR0tKC2+3G39+fqKgosrOziYqKIiQk5OF23o+iiqiAgMCouTWPLF++nLq6Oo4eLedf/1VOV1cpcvlpxOIIioulbNzYSHy8nLS0NI+Aczqd7Nmzh46ODhYtWkRCQsJdv8ftdrN37156e3v5xS8W0t8vGdIHIvT6dC5fdpObm0tXVxcvvvjihG51dsudrVQqefvtt9FoNCQnPyH70lHO0SK1Gh+1mhC7nRFNeh/CjBkQEMArr7zCkZ/8hPqcHGI1Gpx+fnSuWEFLcjLd3d10dXXR3d2Ns66O9H37sA0MUON04q6oIOw3vyEgJgZZXBzk5xP4b//G2o4O+ry9kZ87Bxs2PMQfYuphMBjwmTYNSXr6eA9lTHj8wm7IzO27cyezfX2p7ujAuGIFq956Cxi0ynV0dNDW1kZbWxutra1cuXKFhoYGCgsLiY+P5+DBg55JOjQ0lJCQkHvuRlQqFYHd3fSePQvz59/xP2t3d/cIIdfe3g6AUqkkKiqKOXPmEBUVRXBw8KRyoQgICIxEJBIRHR3NnDnRpKS4CApqo76+lt7efjo7/TGbJfj6+hIeHk5sbKxHeL399tt8/vnn7Nixg8WLF7NkyZI7WtxOnjxJRUUFW7Zs8ZRYGj7lZGRkoFAo2LVrFx988AFbt269Z+/W8cDhcHD48GEuXbpEamoq69atGyFAhX3pMG7P6vlWZkxlby/rLBaqHA5Otraittngxg3OLF0Kej0KhYLAwEB0Wi2RSiWO2Fg6rl7FKJUiqapi77//OxGzZrEgP5/uri7EajW+LS34fvopzJkj3DgG25NqNJrxHsaYIXK73e4x+aahDKITxcWcqqnh1VdfvWvBy76+Pn7961/j5eXF/PnzaW9vp62tDYPB4LHuKZXKEdY9rVb7tQjLz6f4pz8lRCZDO3067k2bMGdmjshYvRXgqlariYqK8jxuBVcLCAhMLRob4ec/H8xj0umgsdFNf7+F9euvYDIVYzAYkEgkxMTEEB8fT3x8PAqFgrNnz3L06FGmTZvGCy+8gFwu95zzxo0b5OTksGzZsvu2CWxtbeXTTz9FJBKxdevWCVP2xGw289lnn9HW1saaNWtIT08XNrOj4VH1pCsshH/+Z1zx8Zi6u/EWi/Gtq0Pys58hnj175PcN/YDLLRbsN28Sn5jI1WefpfriRdL278fc30+YyYSvSESoUonoJz+B73//W1/qZOdXv/oVs2fPZtmyZeM9lDFh7ITdEE6nk48++gij0cg777xz287V7XaTk5NDQ0MDP/jBD0a8P9y619ra6nm2WCzAYHuYaC8vFuTn09rSgjU4mEgvL3otFvIXLKBHoUCr1XpEXGRk5J1TxgUEBKYkQwn63OqdPrwmW2dnJxUVFVRUVFBbW4vL5UKr1RIfH49UKuXs2bNIpVI2bdqEyxVOVZWJQ4e2M3u2hk2bNo1KDHV3d/Ppp59iMpnYtGmTJ25rvKioqGDv3r3IZDI2bdpEWFjYuI7nieSbO46mJhCLB1/7pmAc+gH3tbZyo7kZ7d/8DbrXXsPd0IDlv/03XJcu0Ww2ExAYiE6phIwM+L//94m22lmrqvjg//0/lrzwAjOmUgHGezDmwg4Ga/D84Q9/ICgoiFdffXVE8sGlS5fIzc1ly5Yt94xrGU5zczNFRUXcuHGD/vPnWXTqFDcAXUQEWo2G8O5urH/3d4SuXCkElAoIPOGMxtBitVqprq6moqKCyspK+vr6EIvFtLa20tychN3+PM3Nvfj62vnpT+NYs2b0cXMDAwP89a9/pbq6mnXr1pE+DnE/LpeLY8eOcebMGRISEtiwYQO+vr5jPg6BIe614/gmjY24Ozr4KDcXeXw8GzduHHz93Xfp//nP6bbbCQwJwTc9HWw2+OlPR5fUMRXJz6f3T3+irqiImFmzkL/++tSqrn0XxqXzhL+/P5s2beLDDz8kLy/Pk/Ha3t7O4cOHyczMvKuoGxgYGJF63tTU5ClFoFAoSM7KIq63l1RfX/ymT0fS2gqhoZCeDoKoExB44hlNvJhMJiMpKYmkpCRcLheNjY1UVFRw7lw9hw5F09NTgELRg59fBv/5n+24XB0kJPgRFBSEQqHA29v7rueWSqVs2bKFAwcOsG/fPsxmM0uXLh0z92dPTw+7d++mvr6eFStWMH/+fMH1Ot48SOUEvR6RXk98fz9Hjhyhr68PuVxOUWQkIrWa8OBgfGfPhp4e8PWdYrVpHoChUmtiwJ2YiNTHZ8p3nLjFuLUUi4iIIDs7mwMHDhDt5UVcUBAHDx8mKCiIlStXAl93cxgu4gwGA263G6lUSnh4OGlpaej1enQ63ddu27i4wRtYWTmF8/MFBATGArFYTGRkJJGRkWg0cPmyjcDAJqzWPmw2K3V1Yg4cuEBBQYvnGH9/f4KCglAqlSiVyhH/VigUSCQS1q5dS1BQEPn5+ZhMJjIynqWry+uxZJ7eslL29TVw9uxORCLRPeOcBcaBB8xQSUtL48iRI9w4cgQVcPTkSeZv2UJwTQ00Nwtr31CpNXliIskSyWC7tilXXfvOjIsr9hZut5uzP/85frm5BIvFGGw2fF5+mdaUFJqammhubsZutyMWiwkJCUGn03lEnFqtvndNqEcV2CogICAwxN3Cof7xH10oFD2YzWZMJtOIZ7PZTHd3N7emWpFIRGBgoEfwmUwm9u7toaUlC40mluBgL55/3sbSpU7EYvEdHyKRyPN8P2tbfj7k5Lipqemgq6uB5cs7+NnP5gvxxVOAEz/9KcpDh/CxWpFqNMT8/d8jTkoS1j54sNjFKca4CjsaG3H94z9yvayMgpYWYqVS5P7+XH7mGZTJyZ72LWFhYRO69pOAgMCTw4OEQ93C6XR6+ssOF3wmk4naWgeffz6L7u4e9Hox/f1BiESwZMkJAgO77zueu4k+sVhMd3cghw/Pw2534udnxs9vOuHhYfziF6KpvrZNfRob6frbv6Xw2jVk06aRERaGxMvriRAuo+Zh/rNOAcbNFQuA0Yi4p4f4JUtQd3UhdrtRtrWR/vzzT26wp4CAwITmYRrJSCQSgoODCQ4Ovu29wkK4ft1FdLQVt9uBw+GmqsqL5ctDSEiw4na7cblcd33c6/3KSjlSqYb4+H602jhkMr8nxRs19TEaCQQWbNyISyRCIhY/Ma7GUfOEdn0aX2E31JXCu70d7S1TqUr15AZ7CggITAoeZcFelQqCgsSYTHKPxyg8HNLS/L71d8TFwYULg94omeyJ6H/+5KBSIVIokLS2Irn1wxFu7u08gdW1x7dx4a0K3rd2GmLxkx3sKSAg8MTxOKdBYYqdwgg3V+AujG+M3S2ERAcBAYEnnMc5DQpT7BRGuLkC32BiCDsBAQEBAQEBAYFvzfi6YgUEBAQEBAQEBB4ZgrATEBAQEBAQEJgiCMJOQEBAQEBAQGCKIAg7AQEBAQEBAYEpgiDsBAQEBAQEBASmCIKwExAQEBAQEBCYIgjCTkBAQEBAQEBgiiAIOwEBAQEBAQGBKYIg7AQEBAQEBAQEpgiCsBMQEBAQEBAQmCIIwk5AQEBAQEBAYIogCDsBAQEBAQEBgSmCIOwEBAQEBAQEBKYIgrATEBAQEBAQEJgiCMJOQEBAQEBAQGCKIAg7AQEBAQEBAYEpgiDsBAQEBAQEBASmCP8fOzHSME+4ZQMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set the figure size\n",
    "plt.figure(figsize=(12, 12))\n",
    "\n",
    "# Create a 3x3 subplot grid\n",
    "fig, axes = plt.subplots(3, 3)\n",
    "\n",
    "# Iterate over the samples and plot each graph\n",
    "for i, (sample, color) in enumerate(zip(samples, colors)):\n",
    "    # Get the current subplot axes\n",
    "    ax = axes[i // 3, i % 3]\n",
    "    \n",
    "    # Customize the node size\n",
    "    node_size = 10\n",
    "    \n",
    "    # Customize the node color\n",
    "    node_alpha = 0.5\n",
    "    \n",
    "    # Plot the graph\n",
    "    nx.draw(sample, ax=ax, node_size=node_size, node_color=color, alpha=node_alpha)\n",
    "    \n",
    "# Adjust the spacing between subplots\n",
    "plt.tight_layout()\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.40431266846361186"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum([g[\"y\"][0] for g in dataset_hf[\"train\"]]) / len(dataset_hf[\"train\"])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "stats = pd.DataFrame(dict(\n",
    "    num_nodes=[g[\"num_nodes\"] for g in dataset_hf[\"train\"]],\n",
    "    num_edges=[len(g[\"edge_index\"][0]) for g in dataset_hf[\"train\"]],\n",
    "    y=[g[\"y\"][0] for g in dataset_hf[\"train\"]]\n",
    "))\n",
    "stats['avg_deg'] = stats['num_edges'] / stats['num_nodes']\n",
    "stats['diameter'] = np.nan\n",
    "for i, g in enumerate(dataset_pg_list):\n",
    "    try:\n",
    "        stats.loc[i, 'diameter'] = nx.diameter(pyg.utils.to_networkx(g, to_undirected=True)) \n",
    "    except nx.NetworkXError:\n",
    "        pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.num_nodes.hist(bins=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.num_edges.hist(bins=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAigAAAGdCAYAAAA44ojeAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/H5lhTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAfy0lEQVR4nO3df2xV9f3H8dftr1urlFqwLR3lh1N+iSgDKVfdV4XS8iNOlGTiiEHX6GJaI3bTwaLQigmMEHU6FJcpbInM6RJdBATuILRTC0IdEZghQnCg0LJJaGkJl2t7vn8s3LtLf9Db9va8e/t8JDd4z/mcc97nzaf2xbnn3utxHMcRAACAIQluFwAAAHApAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAc5LcLqArWlpadOLECQ0YMEAej8ftcgAAQCc4jqOzZ88qNzdXCQkdXyPpkwHlxIkTysvLc7sMAADQBcePH9fQoUM7HNMnA8qAAQMk/fcE09PTXa6mdwSDQW3btk2FhYVKTk52uxxX0YswehFGLyLRjzB6EeZ2LxoaGpSXlxf6Pd6RPhlQLr6sk56e3q8CSlpamtLT0/kBoxch9CKMXkSiH2H0IsxKLzpzewY3yQIAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwJwktwsAgN40YvGmmOz3q5VzYrJfoL/iCgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzElyuwAAuNSIxZui3sab6GjVFGl8+VYFmj0xqApAb+IKCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHOiCigrVqzQLbfcogEDBigrK0tz587VoUOHIsacP39eJSUlGjRokK666irNmzdPdXV1EWOOHTumOXPmKC0tTVlZWXrqqaf03Xffdf9sAABAXIgqoFRWVqqkpES7du2S3+9XMBhUYWGhmpqaQmOefPJJffDBB3r33XdVWVmpEydO6L777gutb25u1pw5c3ThwgV98skn+sMf/qD169dr6dKlPXdWAACgT4vq24y3bNkS8Xz9+vXKyspSTU2N/u///k/19fV64403tGHDBk2bNk2StG7dOo0dO1a7du3S1KlTtW3bNv3zn//U3/72N2VnZ+vmm2/W8uXL9ctf/lLl5eVKSUnpubMDAAB9UlQB5VL19fWSpMzMTElSTU2NgsGgCgoKQmPGjBmjYcOGqbq6WlOnTlV1dbVuvPFGZWdnh8YUFRXpscce08GDBzVx4sRWxwkEAgoEAqHnDQ0NkqRgMKhgMNidU+gzLp5nfznfjtCLsHjthTfRiX6bBCfiz95m7e8gXudGV9CLMLd7Ec1xuxxQWlpatGjRIt12220aP368JKm2tlYpKSnKyMiIGJudna3a2trQmP8NJxfXX1zXlhUrVqiioqLV8m3btiktLa2rp9An+f1+t0swg16ExVsvVk3p+rbLJ7f0XCFR2Lx5syvHvZx4mxvdQS/C3OrFuXPnOj22ywGlpKREBw4c0EcffdTVXXTakiVLVFZWFnre0NCgvLw8FRYWKj09PebHtyAYDMrv92vGjBlKTk52uxxX0YuweO3F+PKtUW/jTXC0fHKLnt2boECLJwZVdexAeVGvH7Mj8To3uoJehLndi4uvgHRGlwJKaWmpNm7cqKqqKg0dOjS0PCcnRxcuXNCZM2cirqLU1dUpJycnNObTTz+N2N/Fd/lcHHMpr9crr9fbanlycnK/m2z98ZzbQy/C4q0XgeauB4xAi6db23eV1f7H29zoDnoR5lYvojlmVO/icRxHpaWleu+997Rjxw6NHDkyYv2kSZOUnJys7du3h5YdOnRIx44dk8/nkyT5fD7t379fp06dCo3x+/1KT0/XuHHjoikHAADEqaiuoJSUlGjDhg3661//qgEDBoTuGRk4cKCuuOIKDRw4UMXFxSorK1NmZqbS09P1+OOPy+fzaerUqZKkwsJCjRs3Tg8++KBWrVql2tpaPfPMMyopKWnzKgkAAOh/ogoor732miTpzjvvjFi+bt06PfTQQ5KkF198UQkJCZo3b54CgYCKior06quvhsYmJiZq48aNeuyxx+Tz+XTllVdq4cKFeu6557p3JgAAIG5EFVAc5/Jv30tNTdWaNWu0Zs2adscMHz7c7B3vAADAfXwXDwAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMCcqANKVVWV7r77buXm5srj8ej999+PWP/QQw/J4/FEPGbOnBkx5vTp01qwYIHS09OVkZGh4uJiNTY2dutEAABA/Ig6oDQ1Nemmm27SmjVr2h0zc+ZMnTx5MvT405/+FLF+wYIFOnjwoPx+vzZu3Kiqqio9+uij0VcPAADiUlK0G8yaNUuzZs3qcIzX61VOTk6b67744gtt2bJFe/bs0eTJkyVJr7zyimbPnq3Vq1crNzc32pIAAECciTqgdMbOnTuVlZWlq6++WtOmTdPzzz+vQYMGSZKqq6uVkZERCieSVFBQoISEBO3evVv33ntvq/0FAgEFAoHQ84aGBklSMBhUMBiMxSmYc/E8+8v5doRehMVrL7yJTvTbJDgRf/Y2a38H8To3uoJehLndi2iO2+MBZebMmbrvvvs0cuRIHTlyRL/61a80a9YsVVdXKzExUbW1tcrKyoosIilJmZmZqq2tbXOfK1asUEVFRavl27ZtU1paWk+fgml+v9/tEsygF2Hx1otVU7q+7fLJLT1XSBQ2b97synEvJ97mRnfQizC3enHu3LlOj+3xgDJ//vzQf994442aMGGCvv/972vnzp2aPn16l/a5ZMkSlZWVhZ43NDQoLy9PhYWFSk9P73bNfUEwGJTf79eMGTOUnJzsdjmuohdh8dqL8eVbo97Gm+Bo+eQWPbs3QYEWTwyq6tiB8qJeP2ZH4nVudAW9CHO7FxdfAemMmLzE87+uvfZaDR48WIcPH9b06dOVk5OjU6dORYz57rvvdPr06XbvW/F6vfJ6va2WJycn97vJ1h/PuT30IizeehFo7nrACLR4urV9V13/7LaY7furlXO6vG28zY3uoBdhbvUimmPG/HNQvv76a3377bcaMmSIJMnn8+nMmTOqqakJjdmxY4daWlqUn58f63IAAEAfEPUVlMbGRh0+fDj0/OjRo9q3b58yMzOVmZmpiooKzZs3Tzk5OTpy5IiefvppXXfddSoq+u/lz7Fjx2rmzJl65JFHtHbtWgWDQZWWlmr+/Pm8gwcAAEjqwhWUvXv3auLEiZo4caIkqaysTBMnTtTSpUuVmJiozz//XD/60Y80atQoFRcXa9KkSfr73/8e8RLNW2+9pTFjxmj69OmaPXu2br/9dv3ud7/rubMCAAB9WtRXUO688045Tvtv49u69fI3t2VmZmrDhg3RHhoAAPQTfBcPAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMCfJ7QIAAB0bsXhT1Nt4Ex2tmiKNL9+qQLOnzTFfrZzT3dKAmOEKCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHOiDihVVVW6++67lZubK4/Ho/fffz9iveM4Wrp0qYYMGaIrrrhCBQUF+vLLLyPGnD59WgsWLFB6eroyMjJUXFysxsbGbp0IAACIH1EHlKamJt10001as2ZNm+tXrVqll19+WWvXrtXu3bt15ZVXqqioSOfPnw+NWbBggQ4ePCi/36+NGzeqqqpKjz76aNfPAgAAxJWkaDeYNWuWZs2a1eY6x3H00ksv6ZlnntE999wjSfrjH/+o7Oxsvf/++5o/f76++OILbdmyRXv27NHkyZMlSa+88opmz56t1atXKzc3txunAwAA4kHUAaUjR48eVW1trQoKCkLLBg4cqPz8fFVXV2v+/Pmqrq5WRkZGKJxIUkFBgRISErR7927de++9rfYbCAQUCARCzxsaGiRJwWBQwWCwJ0/BrIvn2V/OtyP0Iixee+FNdKLfJsGJ+LO/60w/4m3etCdef066wu1eRHPcHg0otbW1kqTs7OyI5dnZ2aF1tbW1ysrKiiwiKUmZmZmhMZdasWKFKioqWi3ftm2b0tLSeqL0PsPv97tdghn0IizeerFqSte3XT65pecKiQMd9WPz5s29WIn74u3npDvc6sW5c+c6PbZHA0qsLFmyRGVlZaHnDQ0NysvLU2FhodLT012srPcEg0H5/X7NmDFDycnJbpfjKnoRFq+9GF++NeptvAmOlk9u0bN7ExRo8cSgqr6lM/04UF7Uy1W5I15/TrrC7V5cfAWkM3o0oOTk5EiS6urqNGTIkNDyuro63XzzzaExp06ditjuu+++0+nTp0PbX8rr9crr9bZanpyc3O8mW3885/bQi7B460WguesBI9Di6db28aajfsTTnOmMePs56Q63ehHNMXv0c1BGjhypnJwcbd++PbSsoaFBu3fvls/nkyT5fD6dOXNGNTU1oTE7duxQS0uL8vPze7IcAADQR0V9BaWxsVGHDx8OPT969Kj27dunzMxMDRs2TIsWLdLzzz+v66+/XiNHjtSzzz6r3NxczZ07V5I0duxYzZw5U4888ojWrl2rYDCo0tJSzZ8/n3fwAAAASV0IKHv37tVdd90Ven7x3pCFCxdq/fr1evrpp9XU1KRHH31UZ86c0e23364tW7YoNTU1tM1bb72l0tJSTZ8+XQkJCZo3b55efvnlHjgdAAAQD6IOKHfeeaccp/23rXk8Hj333HN67rnn2h2TmZmpDRs2RHtoAADQT/BdPAAAwJw+8TZjADaNWLzJ7RIAxCmuoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh89BAYB+KpafY/PVyjkx2zf6B66gAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwJ8ntAgAA8WfE4k0x2e9XK+fEZL+whysoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCnxwNKeXm5PB5PxGPMmDGh9efPn1dJSYkGDRqkq666SvPmzVNdXV1PlwEAAPqwmFxBueGGG3Ty5MnQ46OPPgqte/LJJ/XBBx/o3XffVWVlpU6cOKH77rsvFmUAAIA+KiYf1JaUlKScnJxWy+vr6/XGG29ow4YNmjZtmiRp3bp1Gjt2rHbt2qWpU6fGohwAANDHxCSgfPnll8rNzVVqaqp8Pp9WrFihYcOGqaamRsFgUAUFBaGxY8aM0bBhw1RdXd1uQAkEAgoEAqHnDQ0NkqRgMKhgMBiLUzDn4nn2l/PtCL0Ic7sX3kTHleO2xZvgRPzZ38VrP7oy193+ObHE7V5Ec1yP4zg9Ons//PBDNTY2avTo0Tp58qQqKir0zTff6MCBA/rggw/08MMPR4QNSZoyZYruuusu/frXv25zn+Xl5aqoqGi1fMOGDUpLS+vJ8gEAQIycO3dOP/nJT1RfX6/09PQOx/Z4QLnUmTNnNHz4cL3wwgu64ooruhRQ2rqCkpeXp//85z+XPcF4EQwG5ff7NWPGDCUnJ7tdjqvoRZjbvRhfvrXXj9keb4Kj5ZNb9OzeBAVaPG6X47p47ceB8qKot3H758QSt3vR0NCgwYMHdyqgxPzLAjMyMjRq1CgdPnxYM2bM0IULF3TmzBllZGSExtTV1bV5z8pFXq9XXq+31fLk5OR+N9n64zm3h16EudWLQLO9X3yBFo/JutwSb/3ozjzn/xlhbvUimmPG/HNQGhsbdeTIEQ0ZMkSTJk1ScnKytm/fHlp/6NAhHTt2TD6fL9alAACAPqLHr6D84he/0N13363hw4frxIkTWrZsmRITE/XAAw9o4MCBKi4uVllZmTIzM5Wenq7HH39cPp+Pd/AAAICQHg8oX3/9tR544AF9++23uuaaa3T77bdr165duuaaayRJL774ohISEjRv3jwFAgEVFRXp1Vdf7ekyAABAH9bjAeXtt9/ucH1qaqrWrFmjNWvW9PShAQBAnOC7eAAAgDkEFAAAYA4BBQAAmENAAQAA5hBQAACAOQQUAABgTsw/6h4AgJ4yYvGmqLfxJjpaNeW/3x3V0cf+f7VyTndKQw/jCgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHOS3C4AQGyNWLzJ7RIAIGpcQQEAAOYQUAAAgDkEFAAAYA4BBQAAmENAAQAA5hBQAACAObzNGDCgq28F9iY6WjVFGl++VYFmTw9XBQDu4QoKAAAwhysoAAAodh9q+NXKOTHZb7zjCgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMAcAgoAADCHgAIAAMwhoAAAAHMIKAAAwBwCCgAAMIeAAgAAzCGgAAAAcwgoAADAHAIKAAAwh4ACAADMIaAAAABzCCgAAMCcJLcLAPqSEYs3uV0CAPQLXEEBAADmEFAAAIA5BBQAAGAO96AAABBDsbx37auVc2K2b7dxBQUAAJhDQAEAAObwEg/iDm8FBoC+j4ACAEAfFe0/yLyJjlZNkcaXb1Wg2dPhWLfvb+ElHgAAYA5XUNAh7j4HALiBKygAAMAcVwPKmjVrNGLECKWmpio/P1+ffvqpm+UAAAAjXHuJ589//rPKysq0du1a5efn66WXXlJRUZEOHTqkrKwst8qKqe68XHK5G5v64sslXe1HNDd5AQD6JteuoLzwwgt65JFH9PDDD2vcuHFau3at0tLS9Oabb7pVEgAAMMKVKygXLlxQTU2NlixZElqWkJCggoICVVdXtxofCAQUCARCz+vr6yVJp0+fVjAY7PH68lds7/F9St1rdlKLo3PnWpQUTFBzS+urBt9++2039t7Bcb9risl+u+NyvehP6EUYvYhEP8LoRVg0vYjF75WzZ89KkhzHufxgxwXffPONI8n55JNPIpY/9dRTzpQpU1qNX7ZsmSOJBw8ePHjw4BEHj+PHj182K/SJtxkvWbJEZWVloectLS06ffq0Bg0aJI+nf6ThhoYG5eXl6fjx40pPT3e7HFfRizB6EUYvItGPMHoR5nYvHMfR2bNnlZube9mxrgSUwYMHKzExUXV1dRHL6+rqlJOT02q81+uV1+uNWJaRkRHLEs1KT0/v9z9gF9GLMHoRRi8i0Y8wehHmZi8GDhzYqXGu3CSbkpKiSZMmafv28L0eLS0t2r59u3w+nxslAQAAQ1x7iaesrEwLFy7U5MmTNWXKFL300ktqamrSww8/7FZJAADACNcCyv33369///vfWrp0qWpra3XzzTdry5Ytys7Odqsk07xer5YtW9bqpa7+iF6E0YswehGJfoTRi7C+1AuP43TmvT4AAAC9h+/iAQAA5hBQAACAOQQUAABgDgEFAACYQ0AxYMWKFbrllls0YMAAZWVlae7cuTp06NBlt3v33Xc1ZswYpaam6sYbb9TmzZt7odrY6kov1q9fL4/HE/FITU3tpYpj57XXXtOECRNCH6jk8/n04YcfdrhNPM6Ji6LtR7zOi0utXLlSHo9HixYt6nBcPM+N/9WZfsTr3CgvL291XmPGjOlwG8vzgoBiQGVlpUpKSrRr1y75/X4Fg0EVFhaqqan9L+r75JNP9MADD6i4uFj/+Mc/NHfuXM2dO1cHDhzoxcp7Xld6If33UxFPnjwZevzrX//qpYpjZ+jQoVq5cqVqamq0d+9eTZs2Tffcc48OHjzY5vh4nRMXRdsPKT7nxf/as2ePXn/9dU2YMKHDcfE+Ny7qbD+k+J0bN9xwQ8R5ffTRR+2ONT8veubr/9CTTp065UhyKisr2x3z4x//2JkzZ07Esvz8fOdnP/tZrMvrVZ3pxbp165yBAwf2XlEuuvrqq53f//73ba7rL3Pif3XUj3ifF2fPnnWuv/56x+/3O3fccYfzxBNPtDu2P8yNaPoRr3Nj2bJlzk033dTp8dbnBVdQDKqvr5ckZWZmtjumurpaBQUFEcuKiopUXV0d09p6W2d6IUmNjY0aPny48vLyLvuv6r6oublZb7/9tpqamtr9Ooj+MiekzvVDiu95UVJSojlz5rT6O29Lf5gb0fRDit+58eWXXyo3N1fXXnutFixYoGPHjrU71vq86BPfZtyftLS0aNGiRbrttts0fvz4dsfV1ta2+tTd7Oxs1dbWxrrEXtPZXowePVpvvvmmJkyYoPr6eq1evVq33nqrDh48qKFDh/ZixT1v//798vl8On/+vK666iq99957GjduXJtj+8OciKYf8Twv3n77bX322Wfas2dPp8bH+9yIth/xOjfy8/O1fv16jR49WidPnlRFRYV++MMf6sCBAxowYECr8dbnBQHFmJKSEh04cKDD1w37i872wufzRfwr+tZbb9XYsWP1+uuva/ny5bEuM6ZGjx6tffv2qb6+Xn/5y1+0cOFCVVZWtvtLOd5F0494nRfHjx/XE088Ib/fHxc3dnZXV/oRr3Nj1qxZof+eMGGC8vPzNXz4cL3zzjsqLi52sbKuIaAYUlpaqo0bN6qqquqyKT4nJ0d1dXURy+rq6pSTkxPLEntNNL24VHJysiZOnKjDhw/HqLrek5KSouuuu06SNGnSJO3Zs0e/+c1v9Prrr7caG+9zQoquH5eKl3lRU1OjU6dO6Qc/+EFoWXNzs6qqqvTb3/5WgUBAiYmJEdvE89zoSj8uFS9z41IZGRkaNWpUu+dlfV5wD4oBjuOotLRU7733nnbs2KGRI0dedhufz6ft27dHLPP7/R2+Ht8XdKUXl2pubtb+/fs1ZMiQGFTorpaWFgUCgTbXxeuc6EhH/bhUvMyL6dOna//+/dq3b1/oMXnyZC1YsED79u1r85dxPM+NrvTjUvEyNy7V2NioI0eOtHte5ueF23fpwnEee+wxZ+DAgc7OnTudkydPhh7nzp0LjXnwwQedxYsXh55//PHHTlJSkrN69Wrniy++cJYtW+YkJyc7+/fvd+MUekxXelFRUeFs3brVOXLkiFNTU+PMnz/fSU1NdQ4ePOjGKfSYxYsXO5WVlc7Ro0edzz//3Fm8eLHj8Xicbdu2OY7Tf+bERdH2I17nRVsufddKf5sbl7pcP+J1bvz85z93du7c6Rw9etT5+OOPnYKCAmfw4MHOqVOnHMfpe/OCgGKApDYf69atC4254447nIULF0Zs98477zijRo1yUlJSnBtuuMHZtGlT7xYeA13pxaJFi5xhw4Y5KSkpTnZ2tjN79mzns88+6/3ie9hPf/pTZ/jw4U5KSopzzTXXONOnTw/9Mnac/jMnLoq2H/E6L9py6S/k/jY3LnW5fsTr3Lj//vudIUOGOCkpKc73vvc95/7773cOHz4cWt/X5oXHcRzHnWs3AAAAbeMeFAAAYA4BBQAAmENAAQAA5hBQAACAOQQUAABgDgEFAACYQ0ABAADmEFAAAIA5BBQAAGAOAQUAAJhDQAEAAOYQUAAAgDn/D7Dudr0+3PX4AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.avg_deg.hist(bins=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.diameter.hist(bins=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "y\n",
       "0    0.595687\n",
       "1    0.404313\n",
       "Name: proportion, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.y.value_counts(normalize=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/08/91_vkqq52qg5phplpcj85z480000gn/T/ipykernel_85816/2638255679.py:1: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n",
      "  stats.groupby(pd.qcut(stats.num_nodes, 10)).y.mean().plot(kind='bar')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='num_nodes'>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.groupby(pd.qcut(stats.num_nodes, 10)).y.mean().plot(kind='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/08/91_vkqq52qg5phplpcj85z480000gn/T/ipykernel_85816/605421235.py:1: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n",
      "  stats.groupby(pd.qcut(stats.num_edges, 10)).y.mean().plot(kind='bar')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='num_edges'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.groupby(pd.qcut(stats.num_edges, 10)).y.mean().plot(kind='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/08/91_vkqq52qg5phplpcj85z480000gn/T/ipykernel_85816/307121434.py:1: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n",
      "  stats.groupby(pd.qcut(stats.avg_deg, 10)).y.mean().plot(kind='bar')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='avg_deg'>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.groupby(pd.qcut(stats.avg_deg, 10)).y.mean().plot(kind='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/08/91_vkqq52qg5phplpcj85z480000gn/T/ipykernel_17359/3502375203.py:1: FutureWarning: The default of observed=False is deprecated and will be changed to True in a future version of pandas. Pass observed=False to retain current behavior or observed=True to adopt the future default and silence this warning.\n",
      "  stats.groupby(pd.qcut(stats.diameter, 10)).y.mean().plot(kind='bar')\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='diameter'>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VhBEAAGAV84wAgCXMlwL8hj0jAADAKsIIAACwijACAACsIowAAACrCCMAAMAqwggAALCKMAIAAKwijAAAAKsIIwAAwCrCCAAAsKpYYWTGjBmKjo5WUFCQWrdurY0bNxa47uzZs3XdddepSpUqqlKliuLi4gpdHwAAlC1eh5FFixZp2LBhGjNmjLZs2aImTZooPj5ehw8fznf9tWvXqmfPnlqzZo02bNigqKgo3XjjjTpw4MAFFw8AAHyf12FkypQpGjBggPr27auYmBjNmjVLwcHBmjt3br7rz58/X4MHD1bTpk1Vv359zZkzR7m5uUpKSrrg4gEAgO/zKoycPn1aycnJiouL++8PcLsVFxenDRs2FOlnZGVl6cyZM6patWqB62RnZyszMzPPAwAAOJNXYeTo0aPKyclReHh4nuXh4eFKS0sr0s947LHHVLNmzTyB5n+NGzdOoaGhnkdUVJQ3ZQIAAB9SolfTjB8/XgsXLtS//vUvBQUFFbjeyJEjlZGR4Xns37+/BKsEAAAlyd+blatXry4/Pz+lp6fnWZ6enq6IiIhCt33hhRc0fvx4ffzxx2rcuHGh6wYGBiowMNCb0gAAgI/yas9IQECAmjdvnufk099PRo2NjS1wu4kTJ+qZZ57R8uXL1aJFi+JXCwAAHMerPSOSNGzYMPXp00ctWrRQq1atNHXqVJ04cUJ9+/aVJCUkJKhWrVoaN26cJGnChAkaPXq0FixYoOjoaM+5JSEhIQoJCfkTWwEAAL7I6zBy22236ciRIxo9erTS0tLUtGlTLV++3HNS6759++R2/3eHyyuvvKLTp0+rR48eeX7OmDFj9NRTT11Y9QAAwOd5HUYkaciQIRoyZEi+Y2vXrs3zfM+ePcV5CQAAUEZwbxoAAGAVYQQAAFhFGAEAAFYRRgAAgFXFOoEVAABJih6ReNFfY8/4Lhf9NWAXe0YAAIBV7BkBAJR57OGxiz0jAADAKsIIAACwijACAACsIowAAACrCCMAAMAqwggAALCKMAIAAKwijAAAAKsIIwAAwCrCCAAAsIowAgAArCKMAAAAqwgjAADAKsIIAACwijACAACsIowAAACrCCMAAMAqwggAALCKMAIAAKwijAAAAKsIIwAAwCrCCAAAsIowAgAArPK3XQAAAPhzRI9IvKg/f8/4Lhfl57JnBAAAWEUYAQAAVhFGAACAVYQRAABgFWEEAABYRRgBAABWEUYAAIBVhBEAAGAVYQQAAFhFGAEAAFYRRgAAgFWEEQAAYBVhBAAAWEUYAQAAVhFGAACAVYQRAABgFWEEAABYRRgBAABWEUYAAIBVhBEAAGAVYQQAAFhFGAEAAFYRRgAAgFWEEQAAYBVhBAAAWEUYAQAAVhFGAACAVYQRAABgFWEEAABYRRgBAABWEUYAAIBVhBEAAGAVYQQAAFhFGAEAAFYRRgAAgFWEEQAAYBVhBAAAWEUYAQAAVhFGAACAVcUKIzNmzFB0dLSCgoLUunVrbdy4sdD133vvPdWvX19BQUFq1KiRli5dWqxiAQCA83gdRhYtWqRhw4ZpzJgx2rJli5o0aaL4+HgdPnw43/XXr1+vnj17ql+/ftq6dau6deumbt266euvv77g4gEAgO/zOoxMmTJFAwYMUN++fRUTE6NZs2YpODhYc+fOzXf9l156SR07dtTw4cPVoEEDPfPMM7rqqqs0ffr0Cy4eAAD4Pn9vVj59+rSSk5M1cuRIzzK32624uDht2LAh3202bNigYcOG5VkWHx+vDz74oMDXyc7OVnZ2tud5RkaGJCkzM7PIteZmZxV53eLypp7ickIfTuhBoo+ickIPEn0UlRN6kOijqLzt4ff1jTGFr2i8cODAASPJrF+/Ps/y4cOHm1atWuW7Tbly5cyCBQvyLJsxY4YJCwsr8HXGjBljJPHgwYMHDx48HPDYv39/ofnCqz0jJWXkyJF59qbk5ubq559/VrVq1eRyuS7Ka2ZmZioqKkr79+9XpUqVLsprXGxO6EFyRh9O6EGij9LECT1IzujDCT1IJdOHMUbHjh1TzZo1C13PqzBSvXp1+fn5KT09Pc/y9PR0RURE5LtNRESEV+tLUmBgoAIDA/Msq1y5sjelFlulSpV8+pdLckYPkjP6cEIPEn2UJk7oQXJGH07oQbr4fYSGhp53Ha9OYA0ICFDz5s2VlJTkWZabm6ukpCTFxsbmu01sbGye9SVp1apVBa4PAADKFq8P0wwbNkx9+vRRixYt1KpVK02dOlUnTpxQ3759JUkJCQmqVauWxo0bJ0kaOnSo2rVrp8mTJ6tLly5auHChNm/erNdee+3P7QQAAPgkr8PIbbfdpiNHjmj06NFKS0tT06ZNtXz5coWHh0uS9u3bJ7f7vztc2rRpowULFujJJ5/U448/rssvv1wffPCBGjZs+Od18ScIDAzUmDFjzjk85Euc0IPkjD6c0INEH6WJE3qQnNGHE3qQSlcfLmPOd70NAADAxcO9aQAAgFWEEQAAYBVhBAAAWEUYAQAAVhFGAACAVaVyOviL5auvvvJ6m5iYGPn7l55/piVLlni9TYcOHVS+fPmLUE3xOaGPadOmeb1N3759VbFixYtQTfE54b2QincTstI2e6YTepCc0UfVqlW9Wt/lcmnLli2qU6fORaqoeHyljzJ1aa/b7ZbL5Tr/3QP/sP7u3btVt27di1xZ0f1xDpeicLlc+vbbb0tVD5Iz+nC73frLX/4iPz+/Iq2/f//+Uvf7JDnjvZD++/kuKpfLVereDyf0IDmjD7fbralTpxZpKnNjjAYPHqyvv/66VPUg+U4fpedP/hLyxRdfqEaNGuddzxhT6iZm+11aWprCwsKKtG5p+yv8j5zQx+bNm32+B8kZ74Ukvf/++0X6S9AYo86dO5dARd5zQg+SM/q4/fbbi/y5uP/++y9yNcXnC32UqTDSrl07XXbZZUW+6V7btm1L3a7oPn36eFXTHXfcUep2f0rO6GPMmDEKCQkp8vqPP/6417tMS4IT3gtJqlOnjtq2batq1aoVaf26deuqXLlyF7kq7zihB8kZfeTm5nq1/rFjxy5SJRfGV/ooU4dpAABA6VOm9ow4VXZ2tiSVivsLXAhf7yMjI0NpaWmSpIiIiCIdoy2tfP29AP4sp0+f1gcffKANGzbk+Xy3adNGN998swICAixXWDSlvY8yeWlvSkqKBg8erGbNmikyMlKRkZFq1qyZBg8erJSUFNvlFcmqVavUuXNnValSRcHBwQoODlaVKlXUuXNnffzxx7bLKzIn9DFnzhzFxMSoatWqiomJyfPfr7/+uu3yiswJ74UkHT16VBMnTlT37t0VGxur2NhYde/eXZMmTdKRI0dsl1ckTuhB8v0+vvvuOzVo0EB9+vTR1q1blZubq9zcXG3dulUJCQm68sor9d1339ku87x8oY8yd5hm2bJl6tatm6666irFx8d77jacnp6uVatWKTk5Wf/+978VHx9vudKCvfnmm+rfv7969OhxTg8rV67U+++/r9dff1133nmn5UoL54Q+Jk2apKeeekoPPPBAvj1MmzZNTz31lB555BHLlRbOCe+FJG3atEnx8fEKDg5WXFxcnj6SkpKUlZWlFStWqEWLFpYrLZgTepCc0UeHDh1UoUIFvfXWW+ecJ5WZmamEhASdPHlSK1assFRh0fhEH6aMady4sRk1alSB42PGjDGNGjUqwYq8d/nll5vp06cXOD5jxgxz2WWXlWBFxeOEPmrXrm0WLVpU4PjChQtNVFRUCVZUPE54L4wxpnXr1mbgwIEmNzf3nLHc3FwzcOBAc/XVV1uorOic0IMxzuijfPnyZvv27QWOf/XVV6Z8+fIlWFHx+EIfZS6MBAUFmV27dhU4vmvXLhMUFFSCFXkvMDDQ53swxhl9BAUFmZSUlALHd+zYYf1DXhROeC+M+e392LlzZ4HjO3fuLPV9OKEHY5zRR2RkpPnwww8LHF+yZImJjIwswYqKxxf6KHPnjERHRysxMbHA8cTExFI3g97/uvLKKws9F2Hu3LmKiYkpwYqKxwl9tGzZUuPHj9fZs2fPGcvJydGECRPUsmVLC5V5xwnvhfTbCXkbN24scHzjxo2ewwWllRN6kJzRR//+/ZWQkKAXX3xRX331ldLT05Wenq6vvvpKL774ou666y4NHDjQdpnn5Qt9lLmracaOHatevXpp7dq1+R7HXL58uRYsWGC5ysJNnjxZN910k5YvX55vD6mpqYUGrtLCCX1Mnz5d8fHxioiIUNu2bfP0sG7dOgUEBGjlypWWqzw/J7wXkvTII49o4MCBSk5O1l//+tdz+pg9e7ZeeOEFy1UWzgk9SM7oY+zYsapQoYImTZqkhx9+2DOrrDFGEREReuyxx/Too49arvL8fKGPMncCqyStX79e06ZNO+cSp9jYWA0dOlSxsbGWKzy/PXv26JVXXtHnn39+Tg/33nuvoqOj7RZYRE7o49ixY3r77bfz7aFXr16lcoKw/DjhvZCkRYsW6cUXX1RycrJycnIkSX5+fmrevLmGDRumW2+91XKF5+eEHiTn9CFJP/zwQ57PxSWXXGK5ouIprX2UyTACwPnOnDmjo0ePSpKqV69e6mb4LAon9CA5pw9cPIQRAACK4d///rcyMjKUkJBgu5QLUhr6IIz8j8cff1xpaWmaO3eu7VKKrU+fPtq/f79Wr15tu5QL4oQ+4uLilJqaqtTUVNulXBAnvBeSNHPmTB09elSjR4+2XUqxOaEHyRl91K9fX99++63nEJSvKg19lLmrac7nwIED2rNnj+0yLkitWrVK/RVBReGEPrp3764+ffrYLuOCOeG9kKT/+7//0xtvvGG7jAvihB4kZ/Sxa9cunw8iUunogz0jAADAKvaMABcJOR9whtzc3AKX79u3r4Sr+fPccMMN2rt3r+0yJJXRMLJz507NmzdPu3btkvTbLqpBgwbp7rvv9slj4gcPHtSYMWPUu3dvPfLII56+SruuXbvqn//8p06ePGm7lGLLzs7WI488orZt22rChAmSpGeffVYhISGqWLGievXqpczMTMtVFo0TbiD5ux9//FHHjx8/Z/mZM2e0bt06CxVduLp16+rbb7+1XUaRTZ48udR80RVXZmambr31VlWoUEHh4eEaPXp0nsMZR44cKTWXxhZmyZIl+T7WrVunjz76yPPcpjJ3mGb58uW6+eabFRISoqysLP3rX/9SQkKCmjRpotzcXH3yySdauXKlbrjhBtulFig4OFh79+5VjRo1lJKSojZt2qhGjRpq1qyZtm/frn379mnDhg1q3Lix7VIL5Xa75efnpwoVKqhnz57q37+/mjdvbrssrwwbNkyLFi1Sz549tXTpUrVv314fffSRnn/+ebndbo0ePVqdOnXStGnTbJdaKCfcQFKSDh06pJtvvlnJyclyuVzq1auXZs6cqZCQEEm/9VOzZk3rx8cLU9DvyrBhw/Too48qIiJCkvTAAw+UZFlec7vdcrvdat++vfr376/u3btbv029t4YOHarly5frueee06+//qpnn31WDRs21OLFixUQEKD09HRFRkYWuOektHC73XK5XIXurXW5XHY/FyU/A71dsbGx5oknnjDGGPPOO++YKlWqmMcff9wzPmLECNOhQwdb5RWJy+Uy6enpxhhjbr75ZtO1a1dz5swZY4wxOTk55vbbbzc33XSTzRKLxOVymR07dpgXX3zRNGrUyLjdbtOkSRPz8ssvm59//tl2eUUSFRVlVq1aZYwx5vvvvzdut9t88MEHnvGVK1eaOnXqWKqu6JxwA0ljjElISDCtW7c2mzZtMqtWrTLNmzc3LVq08Pw+paWlGZfLZbnKwrlcLvOXv/zFREdH53m4XC5Tq1YtEx0dbS655BLbZZ6Xy+Uy8+bNMzfffLMpV66cqVatmhk6dGihN2wrbWrXrm3WrFnjeX7kyBHTqlUrc+ONN5pTp06ZtLQ043a77RVYRB07djRdunTxfG/8zt/f3+zYscNSVXmVuTBSqVIl8+233xpjfvvi9vf3N1u2bPGMb9++3YSHh9sqr0j+GEaioqLMunXr8oxv2bLF+k2PiuKPfRhjzBdffGEGDhxoQkNDTfny5U3Pnj1NUlKSxQrPr3z58mbv3r2e5+XKlTNff/215/kPP/xggoODbZTmFSfcQNIYY2rWrGm++OILz/NTp06Zrl27mqZNm5qffvrJJ7487rnnHtO0adNzbsBYmr44iuKPn+/09HQzYcIEU79+feN2u03Lli3Na6+9ZjIzMy1XWbjy5cub1NTUPMsyMzNNbGysueGGG0xqamqp/3363ZQpU0xUVFSeG+aVpt+pMnnOyO/z8rvdbgUFBSk0NNQzVrFiRWVkZNgqrUhcLleeHv5YvyRVrlxZv/zyi43SLkirVq306quv6uDBg5o5c6b279+vDh062C6rULVr19aGDRskSZs2bZLL5cpzc7AvvvhCtWrVslVekTnhBpKSlJGRoSpVqnieBwYGavHixYqOjlb79u11+PBhi9UVzaxZszR69GjFx8dr+vTptsv5U4SFhenRRx/Vzp07tXbtWsXExOihhx5SZGSk7dIKVbt2be3cuTPPsooVK2rlypU6efKkunfvbqky7z300ENasmSJHnvsMd1zzz3KysqyXVJettNQSWvcuLFZtmyZ5/n27ds9hziMMWbdunWlfheoy+UylStXNlWqVDHlypUz//znP/OMr1y50kRHR1uqruj+d89Ifr755psSqqZ4XnzxRRMUFGTi4uJMlSpVzLRp00xERIR59NFHzYgRI0xoaKgZO3as7TLP69133zX+/v6ma9eu5qWXXjILFy40CxcuNC+99JL529/+ZgICAsz7779vu8zzatSoUb51njlzxnTr1s3Url3bZ/6S/fHHH80NN9xgOnbsaA4dOlSq/ootCrfbXejnOyMjw7z22mslWJH37r//ftOjR498xzIzM03r1q195vfpd1lZWeaee+4xl19+ufHz8ys1v1Nl7q69gwYNynOSTsOGDfOML1u2rFSfvCpJ8+bNy/P8sssuy/P8888/94nE3q5du/Oe0HbFFVeUUDXF8+CDDyosLEwbNmzQ3XffrZ49e6pRo0YaPXq0srKy9NBDD+mJJ56wXeZ5/eMf/1CtWrU0bdo0TZ48+Zwb5a1du9YnbiDZqVMnvfbaa7rlllvyLPf399d7772nW265RT/++KOl6rxTq1Ytffzxxxo/fryaNWvmc5eKn6/eSpUqacCAASVUTfE8/fTTOnjwYL5jFStW1KpVq7Rly5YSrurClC9fXrNmzdKSJUu0Zs0aVa9e3XZJksrg1TQAnOvs2bPKysoq8E7JZ8+e1YEDB3zikNMfJScn67PPPlNCQkKew1CAUxBGAAAowMmTJ5WcnKyqVasqJiYmz9ipU6f07rvvlvob5f34448KCgry7AX59NNPNWvWLO3bt0916tTRfffdZ33PZ5k8gRWAd3bu3Km6devaLuOC7d+/X3fffbftMi6IE3qQfKOP3bt3q0GDBmrbtq0aNWqkdu3a6dChQ57xjIwM9e3b12KFRXPLLbfo888/l/TbHXqvv/56HT9+XNdcc42ysrLUrl07ffTRR1ZrZM8IgPPatm2brrrqqlI9WVhROKEPJ/Qg+UYf3bt315kzZ/TGG2/o119/1YMPPqiUlBStXbtWtWvX9olJ9CQpJCRE27dv1yWXXKKrr75a3bt312OPPeYZnz59uubOnWv1/JcydwIrgHMNGzas0PEjR46UUCUX5nxTWqemppZQJcXnhB4kZ/Sxfv16ffzxx6pevbqqV6+uDz/8UIMHD9Z1112nNWvWqEKFCrZLLBJ/f38dO3ZMkvTDDz+oU6dOecY7deqUJ5zYQBgBoJdeeklNmzYt8MTP/O7zUhp169atSNNel2ZO6EFyRh8nT56Uv/9/vyZdLpdeeeUVDRkyRO3atdOCBQssVld07dq10zvvvKPGjRurWbNmWrt2bZ7bhaxZs8b+fEiWLiku1T755BPz66+/2i7jgrz55pvmu+++s13GBXNCH77QwxVXXHHOfDV/tHXrVp+YT6FmzZp5puP/X77QhxN6MMYZfbRs2dK89dZb+Y7dd999pnLlyqW+B2OMSUlJMdWqVTMJCQnmmWeeMSEhIeaOO+4wzz33nElISDCBgYFm3rx5VmvkBNZ8XH/99apbt64mT55su5Riu+uuuxQTE6P777/fdikXxAl9+EIPLVq0UHJycoHj5/sLt7Ro3ry5z/fhhB4kZ/TRvXt3vfPOO/mOTZ8+XT179iz1PUhSgwYN9MUXX+j06dOaOHGiTpw4ofnz5+upp57Sd999p4ULF+quu+6yWiMnsOZj7969Sk1N1bJlyzRx4kTb5RTbDz/8oGXLlmnw4MG2S7kgTuijtPeQlpam7Oxsn5t/4399+umnOnHihDp27Jjv+IkTJ7R582a1a9euhCsrOif0IDmnD6cxxujw4cPKzc1V9erVVa5cOdslSSKMAAAAy8r0Caz79u3ToUOH5Ha7VbduXVWrVs12SV5JS0vTF198kWfq7tatWysiIsJyZd5xQh9O6AEArLF1sopNM2bM8Nww64+Pa665xmzevNl2eed1/Phx07t3b+Pn52f8/f1NWFiYCQsLM/7+/sbPz8/ccccd5sSJE7bLPC8n9OGEHgDAtjJ3AusLL7yg5557TsOHD9err76qevXq6amnnlJiYqLq1q2rtm3bavPmzbbLLNTQoUO1ceNGJSYm6tSpU0pPT1d6erpOnTqlpUuXauPGjRo6dKjtMs/LCX04oQcAsK3MnTNyySWXaObMmZ5JX3bv3q02bdooLS1N/v7+Gjp0qHbu3KmVK1darrRgVapUUWJiotq0aZPv+H/+8x/ddNNN+uWXX0q4Mu84oQ8n9AAAtpW5PSOHDx9WgwYNPM8vv/xyZWRkeGaYvPvuu7VhwwZb5RVJbm6uAgICChwPCAhQbm5uCVZUPE7owwk9ACi+devWKSMjw3YZF2zfvn1Wp7Uvc2Hkiiuu0KpVqzzP16xZo4CAAM+JhkFBQaV+VsCbbrpJAwcO1NatW88Z27p1qwYNGqSuXbtaqMw7TujDCT0U1dixY/Xpp5/aLuOCOeHLwwk9SM7owwnzUklSdHS0YmJitHjxYjsF2D5ppaQtWrTIlCtXztx6660mISHBhISEmBEjRnjGZ82aZWJjYy1WeH4///yz6dixo3G5XKZq1aqmfv36pn79+qZq1arG7XabTp06mV9++cV2meflhD6c0ENRRUdHm/Lly5ubbrrJdikX5Pf36oUXXrBdSrE5oQdjnNHHnj17zOrVq83w4cNtl3JB1q5da+bOnWtuvfVWK69f5s4ZkaRly5bp7bffVnZ2tuLj4zVgwADP2E8//SRJPnGZ765du7Rhw4Y8l5PGxsaqfv36livzjhP6cEIPRXHy5EmtWbNGnTt3tl1KsTlhUkMn9CA5pw9cuDIZRgAAKKqzZ89qx44def7YiImJKTWzl3ojIyMjTx+hoaGWK/pNmZ307MSJE0pOTs4z6dlVV11V6s8XKYpDhw7pzJkzql27tu1SLogT+vC1HjZu3JjvHp5WrVpZrsw7TvjycEIPkm/3kZubq9GjR2vGjBnnnNsSGhqqIUOG6Omnn5bbXfpPv5wzZ46mTJmib775Js/yevXq6eGHH1a/fv0sVfb/WTk4ZFFOTo4ZPny4KV++vGeyM5fLZVwul6lTp45ZsmSJ7RIvWP369X3iTpLn44Q+fKWH9PR0c+2113o+B61atTKtWrUyderUMS6Xy1x77bUmPT3ddpnnlZOTY5544glTuXJlz+f690flypXNk08+aXJycmyXWSgn9GCMM/oYPny4qVGjhpk1a5b54YcfTFZWlsnKyjI//PCDefXVV01YWJh59NFHbZd5XhMnTjTBwcFmxIgRZs2aNSYlJcWkpKSYNWvWmJEjR5oKFSqYSZMmWa2xzIWRxx57zDRo0MB8+OGHZtWqVaZt27ZmwoQJZufOnWbUqFEmMDDQrFixwnaZF2Tjxo1m7dq1tsu4YE7ow1d6uOWWW0xsbKzZtWvXOWO7du0ybdq0MT169LBQmXec8OXhhB6McUYf4eHhZvny5QWOL1++3ISFhZVgRcVTu3Zts2jRogLHFy5caKKiokqwonOVuTASGRlp1q1b53n+448/mpCQEHPq1CljjDFjx44t9VfTAH+2kJAQs2XLlgLHN2/ebEJCQkqwouJxwpeHE3owxhl9BAcHm6+++qrA8W3btpkKFSqUYEXFExQUZFJSUgoc37FjhylfvnwJVnSu0n+g6092/Phx1apVy/M8MjJSp06d8syQecstt2jbtm22yrsg6enp2rdvn+0yLtiZM2dsl1BkR48etV3CnyIwMFCZmZkFjh87dkyBgYElWFHxHDt2TDVr1ixwPDIyUidOnCjBirznhB4kZ/Rx/fXX65FHHsn3c3706FE99thjuv7660u+MC+1bNlS48eP19mzZ88Zy8nJ0YQJE9SyZUsLlf2B1ShkQZs2bcyzzz7ref7OO++YypUre55v377dVKlSxUZpRZaZmWl69+5tateubRISEkx2drYZPHiwcblcxu12m7Zt25qMjAzbZZ7XokWLTHZ2tuf5yy+/7LmBYbVq1czTTz9tsbqicbvd5oYbbjDz58/37F3zRYMHDzZ16tQxixcvzvO7k5GRYRYvXmyio6PNkCFDLFZYNJ07dzY33nijOXLkyDljR44cMR07djRdunSxUFnROaEHY5zRx759+0zDhg2Nv7+/adasmenYsaPp2LGjadasmfH39zeNGzc2+/bts13meW3bts1ERESYatWqme7du5t7773X3HvvvaZ79+6mWrVqJjIy0mzfvt1qjWXu0t6kpCR16dJFTZo0UVBQkNavX69JkybpwQcflPTbjfSWLVumpKQku4UW4v7779fHH3+swYMHa/HixQoNDdX333+vWbNmKScnR4MGDVK3bt303HPP2S61UH5+fjp06JDCwsI0b948DR48WI8++qhat26trVu3aty4cZo6dar69+9vu9QCud1uxcfHa/Xq1apQoYJ69+6tfv36qWnTprZL80p2drYefPBBzZ07V2fPnvVMcX/69Gn5+/urX79+evHFF0v93pH9+/erc+fO2rVrlxo1aqTw8HBJv+013L59u2JiYvTRRx8pKirKcqUFc0IPknP6yM3N1YoVK/T555+fc5XZjTfe6BNX0ki/7al6++238+2jV69eqlSpktX6ylwYkaRt27bp3Xff9Ux61qFDB9sleaV27dp688031b59ex08eFB/+ctftGTJEt10002SpMTERD388MPatWuX5UoL53a7lZaWprCwMLVu3Vo9evTQ8OHDPeOvvPKKZs+erS1btlissnC/9+B2u/Xmm29q7ty52rVrl5o2bar+/furd+/e1j/k3sjMzFRycnKe/1k1b97cp3pwwpeHE3qQnNMHLr4yGUZ8XVBQkL799lvPXxQVKlTQ1q1bdcUVV0j6bVbDmJiYUn881u12Kz09XTVq1FCNGjX08ccfq0mTJp7x77//Xs2aNSv0XAbb/hiofrdhwwbNmTNH7733nnJycnTLLbforbfeslglAJRuZXbSs9TUVH322Wd5Jj3r0KGDT/wFWK1aNR05csQTRm6++WZVrlzZM378+PFSvzv9d8uXL1doaKiCgoKUlZWVZ+zUqVOlfhK6/OqLjY1VbGyspk2bpoULF2ru3LkWKvtzbd68WVlZWWrbtq3tUoBSo0GDBtq9e7fVu93+GeLi4pSamqrU1FRrNZS5MHLixAnddddd+r//+z9Jv32ZhIWF6ciRIypfvrzGjx+v++67z3KVhWvcuLE2bdqkq666SpK0YMGCPOObNm1SgwYNbJTmtT59+nj+e/Xq1YqNjfU8//zzz3XppZfaKKvICtuxWKFCBfXr18/+zIZ/gjvvvNMR/9N1wpeHE3qQnNHHuHHjfP6uw5LUvXt361cGlrkwMmzYMB06dEhfffWVgoKCNHLkSNWtW1djxozRwoULdf/996tKlSrq1auX7VILNH/+/EKPtYaHh5f6k1el344nFyY8PFzjxo0roWqKZ968eaXm3g4XU1JSkk9dcl0QJ3x5OKEHyRl9dOvWzXYJf4rS8Ad4mTtnpEaNGlq+fLmaN28uSfrll19Us2ZN/fTTTwoODtaMGTM0Z84cbd261XKlAACUDWXuVOazZ8/mOS8kJCREZ8+e9ZzseeONN5bqq1C8ndTswIEDF6mSC+OEPpzQwx/l5OQoNTXVs8cqOztb7777rhYuXKj09HTL1XkvIyND33zzjb755huf/wvcSd544w2feT8qVqyofv36af369bZLuWDbtm3Ts88+q5kzZ55zSCYzM1N33323pcr+P2sznFjSoUMHc99993meT5o0yURGRnqeb9myxVSvXt1GaUUSFhZmBg4caDZu3FjgOr/++qt57bXXzJVXXmleeumlEqyu6JzQhxN6+N22bdtMZGSkcbvdpmHDhp7JnipUqGBCQkJMlSpVCu2zNJk9e7Zp0KCB50aYvz8aNGhg5syZY7u8IklMTDT9+vUzw4cPNzt37swz9vPPP5v27dtbquzClStXrtCpyUsTl8tlrrzySuNyuUz9+vXNCy+8YA4fPmy7LK+tWLHCBAQEmCuvvNLUrl3bVKtWzaxevdoznpaWZv2GnmUujCQnJ5uqVauaiIgIU7t2bRMQEGDeeecdz/j06dNNQkKCxQoLd/ToUfPQQw+Z0NBQEx4ebjp37mz69+9vhgwZYnr37m2aNWtmAgICzNVXX20SExNtl1sgJ/ThhB5+Fx8fb3r06GG2b99uhg4daho0aGD+8Y9/mNOnT5szZ86YO+64w8TFxdku87x84e6k5zN//nzj5+dnunTpYq699loTFBRk3n77bc94afjiKIoqVark+3C5XCY0NNTzvDRzuVwmPT3dfPnll2bIkCGmatWqJiAgwPz97383S5cuNbm5ubZLLJLY2Fjz+OOPG2OMyc3NNRMmTDAhISFm2bJlxpjS8TtV5s4ZkaRDhw7po48+UnZ2tm644QbFxMTYLslrJ0+eVGJioj777DPt3btXJ0+eVPXq1dWsWTPFx8erYcOGtkssEif04YQeqlatqv/85z9q0KCBTp48qYoVK2r9+vVq1aqVJGnHjh1q166d9TPuz6dOnTqaNGmSbr311nzHFy1apOHDh5fqezg1a9ZMffv21QMPPCBJevfdd3X33XfrpZdeUr9+/ZSenq6aNWuW+qtQKlasqHbt2ukf//iHZ5kxRv3799fYsWM99wj74xV1pc3/ziOUnZ2txYsX6/XXX9eaNWtUs2ZN9e3bV2PHjrVcaeFCQ0O1ZcuWPFcnLliwQAMHDtTChQvVsmVL+79TVqMQgFKhcuXKZvfu3cYYY06fPm38/PxMcnKyZ3znzp2l/q9YY3zj7qTnU6FCBZOamppn2erVq01ISIh55ZVXSsVfsUXx7bffmpYtW5qEhARz7Ngxz3J/f3+zY8cOi5UVndvtNunp6fmO/fDDD+bJJ580UVFRJVyV92rUqGE2b958zvJ33nnHBAcHm1deecX671SZO4H1fA4dOlSq/2oCLobmzZtrwoQJOnDggMaNG6dLLrlE06dP94y//PLLPrGHxyfuTnoelSpVOueE4fbt2+ujjz7S8OHD9fLLL1uqzDuXXXaZ1q9fr4iICDVt2lT/+c9/bJfkNVPIgYPo6Gg988wz2rt3bwlWVDxNmzbVmjVrzll+++23a86cOZ69cDaVuXlGzueGG27w+Yl4AG+NGzdOnTp10rx581StWjWtWbNG/fr1U2RkpNxut3755Rd9+OGHtss8r+nTpys+Pl4RERFq27ZtnpuzrVu3TgEBAVq5cqXlKgvXqlUrLVu2TFdffXWe5e3atdOHH37ouQeVL/D399eECRMUHx+vXr16qXfv3qV+VuU/GjNmjEJCQgpdxxf6GTRokNatW5fvWM+ePWWM0ezZs0u4qrzK5Dkjhdm0aZOysrLUrl0726UAJerEiRPatWuX6tWrp5CQEJ06dUrz58/XyZMn1aFDB9WrV892iUVS2u9Oej6ffPKJ1q9fr5EjR+Y7vmbNGr311luaN29eCVd2YX766ScNGDBAa9as0eeff+4zv08oGYQRAACK4ezZszp48KBq165tuxSfV2bPGTl79qy2bdumFStWaMWKFdq2bZsjprsGvOW0ydsKc+bMGZ8/J+zs2bM+34PkjD527NihSy65xHYZRTJz5kzFxcXp1ltvVVJSUp6xo0ePqm7dupYq+02ZCyO5ubl68sknVaNGDTVr1kydOnVSp06d1KxZM4WFhWnUqFHnvWcK4CQtW7bUPffco02bNhW4TkZGhmbPnq2GDRt6bjLpi1JSUnzmy6MgvvQFWBin9OELpk2bpuHDh6t+/foKDAxU586d89z3Kycnx/qJuGXuBNYRI0bojTfe0Pjx4xUfH5/nBLeVK1dq1KhROn36tCZMmGC5UqBkpKSk6LnnnlOHDh0UFBSk5s2bq2bNmgoKCtIvv/yilJQU7dixQ1dddZUmTpyozp072y4ZKBG/3xm9ICdPniyhSi7Mq6++qtmzZ3tuADto0CB169ZNJ0+eLDVzpJS5c0YiIiL05ptvKj4+Pt/xFStWKCEhwSfvxQFcCCdM3laUL4/SfrWcE3qQnNFHUFCQbr/99gL34Bw6dEizZ88u1T1IUnBwsFJSUhQdHe1Z9vXXXysuLk59+/bVgw8+aH3SszK3Z+TYsWOqWbNmgeORkZGem+YBZUn58uXVo0cP9ejRw3YpxZaSknLeL4/du3eXcFXecUIPkjP6aNiwoVq3bq1BgwblO/7ll19avyS2KKpXr679+/fnCSMNGzbU6tWrdcMNN+jgwYP2ivv/ylwYuf766/XII49o/vz5ql69ep6xo0eP6rHHHtP1119vpzgAF8QJXx5O6EFyRh/XXHONvvnmmwLHK1asqLZt25ZgRcVz7bXXavHixbruuuvyLI+JiVFSUpLat29vqbL/KnNhZNasWercubMiIyPVqFGjPOeMbN++XTExMfroo48sVwmgOJzw5eGEHiRn9PHSSy8VOn7ppZfmO7NpaTNixAglJyfnO3bllVdq9erV1k9ML3PnjEi/XVGzYsWKfCdFuvHGG+V2l7mLjAAAsKZMhhEAAAqzb98+ryYzO3DggOdOxKWJr/RRpnYBlKXJnYCyxgmfbyf0IDmjD6fMv+MrfZSpMOIrbwoA7znh8+2EHiRn9JGSkqIKFSqoQ4cOioiIUJcuXTRgwADdf//9uuOOO3TVVVcpLCxMc+fO1cSJE0vFnW/z4yt9lKnDND/99JOee+45zZ0797yTO40aNYrJnQAf4oTPtxN6kJzTh+SM+Xek0t9HmQojvyvtbwqA4nPC59sJPUjO6QMXX5kMIwAAoPQoU+eMAACA0ocwAgAArCKMAAAAqwgjAADAKsIIgEJdf/31evDBByVJ0dHRmjp1qtV6ADgPYQRAkW3atEkDBw60XYbeeOMNVa5c2XYZAP4kZe6uvQCKr0aNGrZL+FPl5OTI5XJxc0zAMj6BADxOnDihhIQEhYSEKDIyUpMnT84z/r+HaaZMmaJGjRqpQoUKioqK0uDBg3X8+HHP+O97MD766CPVq1dPwcHB6tGjh7KysvTmm28qOjpaVapU0QMPPKCcnBzPdtnZ2XrkkUdUq1YtVahQQa1bt9batWslSWvXrlXfvn2VkZEhl8sll8ulp5566rzb/bGeJUuWKCYmRoGBgV7fRwXAn489IwA8hg8frk8++UT//ve/FRYWpscff1xbtmxR06ZN813f7XZr2rRpuuSSS5SamqrBgwfr0Ucf1cyZMz3rZGVladq0aVq4cKGOHTumv//97+revbsqV66spUuXKjU1VbfccouuueYa3XbbbZKkIUOGKCUlRQsXLlTNmjX1r3/9Sx07dtT27dvVpk0bTZ06VaNHj9Y333wjSQoJCTnvdpdffrmnngkTJmjOnDmqVq2awsLCLuK/KIAiMQBgjDl27JgJCAgw7777rmfZTz/9ZMqXL2+GDh1qjDGmTp065sUXXyzwZ7z33numWrVqnufz5s0zksx3333nWXbPPfeY4OBgc+zYMc+y+Ph4c8899xhjjNm7d6/x8/MzBw4cyPOz//rXv5qRI0d6fm5oaGie8aJuJ8l8+eWX5/nXAFCS2DMCQJL0/fff6/Tp02rdurVnWdWqVVWvXr0Ct/n44481btw47dq1S5mZmTp79qxOnTqlrKwsBQcHS5KCg4N16aWXerYJDw9XdHS0Z2/G78sOHz4sSdq+fbtycnJ0xRVX5Hmt7OxsVatWrcBairpdQECAGjduXNg/BYASRhgBUCx79uzRTTfdpEGDBum5555T1apV9dlnn6lfv346ffq0J4yUK1cuz3YulyvfZbm5uZKk48ePy8/PT8nJyfLz88uz3h8DzP8q6nbly5eXy+XyvmEAFw1hBIAk6dJLL1W5cuX0xRdfqHbt2pKkX375Rbt371a7du3OWT85OVm5ubmaPHmy52qUd99994LraNasmXJycnT48GFdd911+a4TEBCQ54TXom4HoHTiahoAkn7be9CvXz8NHz5cq1ev1tdff6277rqrwMteL7vsMp05c0Yvv/yyUlNT9c9//lOzZs264DquuOIK9e7dWwkJCVq8eLF++OEHbdy4UePGjVNiYqKk367qOX78uJKSknT06FFlZWUVaTsApRNhBIDHpEmTdN1116lr166Ki4vTtddeq+bNm+e7bpMmTTRlyhRNmDBBDRs21Pz58zVu3Lg/pY558+YpISFBDz/8sOrVq6du3bpp06ZNnj02bdq00b333qvbbrtNNWrU0MSJE4u0HYDSyWWMMbaLAAAAZRd7RgAAgFWEEQAAYBVhBAAAWEUYAQAAVhFGAACAVYQRAABgFWEEAABYRRgBAABWEUYAAIBVhBEAAGAVYQQAAFhFGAEAAFb9P3dBUVTiU+pmAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats.groupby(pd.qcut(stats.diameter, 10)).y.mean().plot(kind='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>num_nodes</th>\n",
       "      <th>num_edges</th>\n",
       "      <th>y</th>\n",
       "      <th>avg_deg</th>\n",
       "      <th>diameter</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>1113.000000</td>\n",
       "      <td>1113.000000</td>\n",
       "      <td>1113.000000</td>\n",
       "      <td>1113.000000</td>\n",
       "      <td>1067.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>39.057502</td>\n",
       "      <td>145.631626</td>\n",
       "      <td>0.404313</td>\n",
       "      <td>3.734642</td>\n",
       "      <td>11.624180</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>45.778992</td>\n",
       "      <td>169.274151</td>\n",
       "      <td>0.490979</td>\n",
       "      <td>0.424003</td>\n",
       "      <td>7.924023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>4.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.714286</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>15.000000</td>\n",
       "      <td>56.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.476923</td>\n",
       "      <td>6.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>26.000000</td>\n",
       "      <td>98.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.677419</td>\n",
       "      <td>10.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>45.000000</td>\n",
       "      <td>174.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>15.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>620.000000</td>\n",
       "      <td>2098.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>5.071429</td>\n",
       "      <td>64.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         num_nodes    num_edges            y      avg_deg     diameter\n",
       "count  1113.000000  1113.000000  1113.000000  1113.000000  1067.000000\n",
       "mean     39.057502   145.631626     0.404313     3.734642    11.624180\n",
       "std      45.778992   169.274151     0.490979     0.424003     7.924023\n",
       "min       4.000000    10.000000     0.000000     1.714286     1.000000\n",
       "25%      15.000000    56.000000     0.000000     3.476923     6.000000\n",
       "50%      26.000000    98.000000     0.000000     3.677419    10.000000\n",
       "75%      45.000000   174.000000     1.000000     4.000000    15.000000\n",
       "max     620.000000  2098.000000     1.000000     5.071429    64.000000"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "vnode_transform = pyg.transforms.VirtualNode()\n",
    "prot2 = vnode_transform(prot)\n",
    "fig = plt.figure(figsize=(4, 4))\n",
    "nx.draw(pyg.utils.to_networkx(prot2, to_undirected=True), node_size=10, ax=fig.add_subplot(111))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0., 0., 0.])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prot2.x[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Data(x=[43, 3], edge_index=[2, 246], y=[1], edge_type=[246])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prot2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Data(x=[42, 3], edge_index=[2, 162], y=[1])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n",
       "        0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1,\n",
       "        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n",
       "        1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "        2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2,\n",
       "        2, 2, 2, 2, 2, 2])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prot2.edge_type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset_pg = DataLoader(dataset_pg_list, batch_size=8, shuffle=False)\n",
    "batch = next(iter(dataset_pg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DataBatch(x=[712, 3], edge_index=[2, 3102], y=[8], batch=[712], ptr=[9])"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([ 41,  68,  78, 102, 113, 449, 557, 711])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch.ptr[1:] - 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(1)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "batch.batch[42]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([ 210000.0000,  195999.9844,  274400.0000,  768319.9375, 1075647.8750,\n",
      "        1505907.0000, 3162404.7500, 4427366.5000, 6198313.0000, 8677638.0000])\n",
      "\n",
      "$26,495,994\n"
     ]
    }
   ],
   "source": [
    "n = 10\n",
    "r = 0.4\n",
    "contribs = torch.tensor([1.5e5, 1e5, 1e5, 2e5, 2e5, 2e5, 3e5, 3e5, 3e5, 3e5])[:n]\n",
    "rets = (1 + r) ** (torch.arange(n) + 1)\n",
    "b = (contribs * rets)\n",
    "print(b)\n",
    "print()\n",
    "print(f'${int(b.sum().item()):,}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([1.4000, 1.9600, 2.7440, 3.8416, 5.3782])"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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