{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exemple de modélisation d'ouvrages \n",
    "\n",
    "Potentiellement en charge et avec surverse (type pont - ponceau)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from wolfhece.mesh2d.simple_2d import lake_at_rest, water_line, water_lines, unsteady_without_bedmotion, unteaady_with_bedmotion"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Vérification du lac au repos\n",
    "\n",
    "Pour un lac au repos, la surface libre/pression est identique en toute maille.\n",
    "\n",
    "Le code ne peut en aucun cas mettre l'eau en mouvement, même en présence du pont.\n",
    "Une mise en mouvement indiquerait un mauvais traitement des termes sources de réaction de fond  et/ou de toit.\n",
    "\n",
    "Ici le fond est horizontal pour simplifier les calculs et ne tester que le toit.\n",
    "\n",
    "3x2 calculs sont effectués:\n",
    "    - 1 sans pont\n",
    "    - 1 avec pont\n",
    "    - pour 3 hauteurs d'eau différentes\n",
    "\n",
    "Des tests internes sont effectués pour vérifier la cohérence des résultats.\n",
    "\n",
    "Le calcul n'est pas démarré immédiatement car certaines routines sont compilées à la première exécution (JIT Numba)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.06385508568141009/14400 [00:03<213:43:26, 53.43s/it]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.06385508568141009\n",
      "Residual :  0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.06385508568141009/14400 [00:02<136:30:21, 34.13s/it]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.06385508568141009\n",
      "Residual :  3.4028825454198546e-16\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.05213745913371834/14400 [00:00<?, ?it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.05213745913371834\n",
      "Residual :  0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.05711372491708258/14400 [00:00<08:23, 28.62it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.05711372491708258\n",
      "Residual :  4.058174235203366e-16\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.04515236409857309/14400 [00:00<?, ?it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.04515236409857309\n",
      "Residual :  0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.05213745913371834/14400 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.05213745913371834\n",
      "Residual :  3.704589284845265e-16\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 1500x1000 with 3 Axes>,\n",
       " array([<AxesSubplot: >, <AxesSubplot: >, <AxesSubplot: >], dtype=object))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = lake_at_rest()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Ligne d'eau\n",
    "\n",
    "Calcul de lignes d'eau :\n",
    "    - sans pont\n",
    "    - avec pont\n",
    "\n",
    "Débit de 7 m²/s ; 3 hauteurs d'eau différentes en condition limite aval.\n",
    "\n",
    "Il est attendu que la mise en charge augmente avec la hauteur d'eau étant donné que la réaction de toit est plus importante (contraction et élargissement brusque).\n",
    "\n",
    "La charge est évaluée au centre de la maille. \n",
    "Ceci est une approximation étant donné que cela ne tient pas compte du schéma numérique. \n",
    "Il est donc attendu que la charge sur la dernière maille à surface libre présente un léger pic."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 24%|██▎       | 3417.451250213751/14400 [00:07<00:24, 446.24it/s]      \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  3417.451250213751\n",
      "Residual :  9.823253321883385e-13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 12%|█▏        | 1663.5841980173673/14400 [00:17<02:12, 96.04it/s]      \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1663.5841980173673\n",
      "Residual :  9.986212834434127e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 30%|██▉       | 4298.988586931498/14400 [00:05<00:13, 754.78it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  4298.988586931498\n",
      "Residual :  9.9298347322474e-13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1871.5112769334007/14400 [00:17<01:59, 104.74it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1871.5112769334007\n",
      "Residual :  9.869046913024704e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 35%|███▌      | 5073.704821249482/14400 [00:07<00:13, 715.93it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  5073.704821249482\n",
      "Residual :  9.78772618509538e-13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1879.559238367564/14400 [00:19<02:10, 95.68it/s]  \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1879.559238367564\n",
      "Residual :  9.975527071048873e-08\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 2000x1000 with 3 Axes>,\n",
       " array([<AxesSubplot: >, <AxesSubplot: >, <AxesSubplot: >], dtype=object))"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 2000x1000 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = water_line()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Lignes d'eau et perte de charge\n",
    "\n",
    "Calcul de plusieurs lignes d'eau et affichage des pertes locales.\n",
    "Comparaison avec les formules de perte de charge par contraction et élargissement brusque.\n",
    "\n",
    "- Contraction : $$k = 0.5 * \\left (1 - \\frac {A_{small}}{A_{large}} \\right)$$\n",
    "- Elargissement : $$k = \\left (1 - \\frac {A_{large}}{A_{small}} \\right)^2$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 17%|█▋        | 2407.222605863859/14400 [00:23<01:58, 101.27it/s]     \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  2407.222605863859\n",
      "Residual :  9.983515125711051e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1879.0622572625775/14400 [00:16<01:49, 114.31it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1879.0622572625775\n",
      "Residual :  9.861128980048761e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1800.0889064541343/14400 [00:17<01:59, 105.84it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1800.0889064541343\n",
      "Residual :  9.961345970310731e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1938.5786658866562/14400 [00:18<02:01, 102.75it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1938.5786658866562\n",
      "Residual :  9.987611448991629e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 14%|█▍        | 2026.9467943860354/14400 [00:20<02:07, 96.83it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  2026.9467943860354\n",
      "Residual :  9.963319946848515e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1833.5207359577998/14400 [00:20<02:19, 90.27it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1833.5207359577998\n",
      "Residual :  9.970911918344427e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 14%|█▍        | 2083.3600667136157/14400 [00:24<02:22, 86.43it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  2083.3600667136157\n",
      "Residual :  9.997842553843839e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 17%|█▋        | 2463.834906706194/14400 [00:30<02:27, 81.15it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  2463.834906706194\n",
      "Residual :  9.992566596395136e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 14%|█▍        | 2059.2803134361056/14400 [00:29<02:58, 69.12it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  2059.2803134361056\n",
      "Residual :  9.9805173903178e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 14%|█▍        | 1993.571221521454/14400 [00:30<03:08, 65.96it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1993.571221521454\n",
      "Residual :  9.950557355864476e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 13%|█▎        | 1937.8054540924604/14400 [00:31<03:23, 61.16it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  1937.8054540924604\n",
      "Residual :  9.952650614764025e-08\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(<Figure size 2000x1000 with 2 Axes>,\n",
       " array([<AxesSubplot: >,\n",
       "        <AxesSubplot: xlabel='Computed $\\\\Delta H$ [m]', ylabel='Theoretical $\\\\Delta H$ [m]'>],\n",
       "       dtype=object))"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = water_lines()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Problème instationnaire\n",
    "\n",
    "Calcul d'un problème instationnaire avec un débit constant et une conditions limite aval qui évolue.\n",
    "\n",
    "Extraction des différentes de charge à intervalle régulier et comparaison avec les formules de perte de charge par contraction et élargissement brusque."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0.04704398960516045/14400 [00:03<279:24:37, 69.85s/it]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  0.04704398960516045\n",
      "Residual :  0.0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████▉| 7189.526609794864/7200 [01:12<00:00, 106.41it/s] d:\\ProgrammationGitLab\\python3.10\\lib\\site-packages\\tqdm\\std.py:533: TqdmWarning: clamping frac to range [0, 1]\n",
      "  full_bar = Bar(frac,\n",
      "100%|██████████| 7200.004926019133/7200 [01:12<00:00, 98.98it/s] \n"
     ]
    },
    {
     "data": {
      "image/png": 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2bSHliSUOjA8w/z7xb/xm22/iHQYREREREVG/N/ZMJi5BDhwtx/B+/R4AQH1zPS7/TnwHxr13jHMqdSIiIiIi6jcEwdB05vFmt9vhMvC4LTOmUvcniiK6uroAAGVlZWhqasKOHTswceJEAMCmTZsgiiImTZokp3nggQfgdDphs9kAADU1NRg1apTqNOrePCtWrMDx48flO9NramqQmZmJ0tJSU9sTDg6MDzDDBg3DtcXXhpxPgBBehWFkC6cuQQgvvrDqCrMvwo0x5HpiGF+ib6uw6knwfSlW+xGQ+Ns3VvtsuGIZX8L3X6y+CxL88y9c/fHzOaz+C3v364f9x++CyPKw/yKuKxyJ/l0VrfhaxH1o+uwjjB88DhMuugBP7nwS9S31kCQppv3vr3cqdQ6MExERERERxVJxcTG2bt2KQ4cOISMjA7m5ubCoXLQcyVTqbW1tWLFiBb7zne9gyJAhOHnyJJ566ikcOXIEP/zhDwEAY8aMwbXXXou77roL1dXVcDqduPvuuzFt2jQMHep+VvvNN9+MBx98EDNnzsSiRYuwZ88eVFVVYeXKlXJdr732GhYvXozPPvsMADBlyhSUlpbi1ltvxWOPPQaHw4ElS5Zg7ty5SE5ODqs9ZuLA+AAzacgkTBoyKd5hEBERERER9Xs76/6OTfgIw9KHoWLsDKzeuRodPR041XkKeal5cYtLnkqdzxgnIiIiIiKKqQULFmD69OkoLS1FR0cH6urqUFxcbGodVqsVn332GV588UWcPHkSgwcPxiWXXIL3338fY8eOldOtXbsWd999N6655hpYLBbceOON+P3vfy+vz8rKwoYNGzB37lxMnDgReXl5WLZsGWbNmiWnOXPmDPbv36+oe926dZgzZw7KysqQnp6O6dOno7Ky0tQ2hosD40RERERERERRIHie4S26XLBb7ShML4SjzYGvW76O68C4KLo88fGOcSIiIiIiolg6//zzUVtbG9U6UlJS8OqrrwZNl5ubi5deekk3zQUXXID3339fc/2MGTMwY8YMxbKRI0fizTffNBRrrPGvYCIiIiIiIqIo8E5VLknuqcuHDxoOAPiq5au4xQT4TKVu4R3jRERERERENHBwYJyIiIiIiIgoCiw+d4wDiTMwzqnUiYiIiIiIaCDiwDgRERERERFRFHinKpdE5R3jX7d8HbeYgN47xjmVOhEREREREQ0k/CuYiIiIiIiIKAq8d2R77xgfljEMQPzvGBd5xzgRERERERENQBwYJyIiIiIiIooCeWBcTLCp1D3x8BnjRERERERENJBwYJyIiIiIiIgoCvynUh82yH3H+KnOU2h3tsctLk6lTkRERERERANRUrwDoNhq/de/cPrPfzaUVhCEEEo2mNZomaHUbbhMo8Wx3SYWam66kMo0uTyE0kdst1l1m74PhVR1P2o3YP5nQZ/5zDCazljCvvNZaTRdFNrdJ44do8Wx3abV3QfaHZXvRrP7J5QyB2y74/ibQCVd51eHAADOkydx5o03AIsVQ50ZOGprxVctX2FU7ijjgZhI4lTqRERERERENABxYHyAcR49itZ3NsY7DCIiIiIion7v9KA04Owh6Kqvx9GFiwAAc0cPwgPfA75u/TpuA+PyM8Z5xzgRERERERENIBwYH2DSJk5E0YMPBk8oSSGUajCtwTIlo3UbTmcsWWhlGi00Tn0TQtWJ3mZ3UpO3dbzaHEKZcTsOQtrHzO0fHvt6yfrAsR+F4yXhj/0ofFfy2Deh3nge+/HqG+NFJnyb3UXy2I+wuOi0xeQyJbN/MybosZ/a0wV0NUHIyEDqhRei49//xpDjPQCAr1u+NlZ+FPROpc47xomIiIiIiGjg4MD4AJN89tlIPvvseIdBRERERETU70m7dwErliBp2DCcNf8BfHH1N5F2pguCJOCrlq/iF5dnYNxi5R3jRERERERENHDwr2AiIiIiIiKiKPAOPIsuF5Ly8tzLXCIGtSOuA+MinzFOREREREQUF5MnT8a8efNiUtenn36K73znO8jKykJ6ejouueQS1NfXy+s7Ozsxd+5cDB48GBkZGbjxxhvR0NCgKKO+vh5Tp05FWloaCgoKcN9996Gnp0e33sbGRtxyyy3IzMxEdnY2Zs6cidbW1qi0MVQcGCciIiIiIiKKAsHzDG9JFCHYbLAOHgwAyGmN88C4PJU6TwkQERERERH1RwcPHsSVV16J0aNH47333sPu3buxdOlSpKSkyGnuvfde/P3vf8crr7yCzZs34+jRo/j+978vr3e5XJg6dSq6u7uxZcsWvPjii3jhhRewbNky3bpvueUW7N27FzU1NVi3bh3++c9/YtasWVFrayg4lToRERERERFRFHjvyBZF9x3aSYUFcJ06hdwWCZ+0HkOP2IMkS+z/LJc88Vj4jHEiIiIiIqKYmTFjBjZv3ozNmzejqqoKAFBXV4fi4mLT63rggQdw3XXX4bHHHpOXnXPOOfLrM2fO4I9//CNeeuklfPOb3wQAPP/88xgzZgw+/PBDXHbZZdiwYQP27duHd955B4WFhZgwYQIeeughLFq0CMuXL4fdbg+o99NPP8Xbb7+N7du34+KLLwYAPPnkk7juuuvwu9/9DkOHDjW9raHg5eFEREREREREUeAdePZOXW7LLwAA5LcloUfqgaPNEZe4vPEInEqdiIiIiIj6CUmS0O5sj8t/kiQZirGqqgplZWW46667cOzYMRw7dgzDhw9XTTt79mxkZGTo/qdFFEWsX78e559/PioqKlBQUIBJkybh9ddfl9Ps2LEDTqcT5eXl8rLRo0djxIgRqK2tBQDU1tZi/PjxKCwslNNUVFSgubkZe/fuVa27trYW2dnZ8qA4AJSXl8NisWDr1q2G+imaeMf4QHP8U+DLzQYTGzuQe5OHkj6EtNEqN5plh1RuNMtOlJijVC6QIP3BmMMue0AcK6GEkSgxJ0A/R7NsxhybskM+VBKgP/risdIXY45m2QkTczTLTYD+YMyGyxbOuNdJrSeAP92ApGb3s9pGdmcAaMZXLV9h2KBhIcYWOe9U6hZOpU5ERGR4MEORJ/Q/eGJSTzhxhZel//RZuPWEI+TtGav2J3KfJWgfxCqucCTycWN2Hzi7nHCJLjhdTlhdVnT0dOCKv1xhah1GfTDtA6QmpeqmEQQBWVlZsNvtSEtLQ1FRkW76yspKLFiwIKx4jh8/jtbWVvzmN7/Br3/9azz66KN4++238f3vfx/vvvsuvvGNb8DhcMButyM7O1uRt7CwEA6H+yJuh8OhGBT3rveuU+NwOFBQUKBYlpSUhNzcXM08scSB8YHmq23A24viHQUREREREVG/Z+lMAzARorMb+PJ9JDkzAGRiSHsyAPdzxstQFvO4JM8d496p3o+2HsX9H9yPM11nIEkS5P9J6v+GVWeCDgbE7IQeBx1CryNBT4QD3G+A0PuAgwGx2zYhX/uXoPtMuPUQEdHAMcQ+BIvOXQSpWYKlw4LOns64xfLF6S+QkpSimybdlo7irGLDZRYUFAQMMBvlvRj6u9/9Lu69914AwIQJE7BlyxZUV1fjG9/4Rljl9gccGB9ocoqBcTeGmEkIIWkIaUMpt6+WHVK5oZYdYtHcjolZdlT3kUQpO5p9HSJuxwjKTpBjpq+Wze+D/lF2whyPfbVsfh/0j7IT5HjsI2VbTjQBf/g7RPsgoOIRJB18CACQ1+a+U/vrlq9Di8sk3meeC547xh/e+jB2NOyISyxERERERAOFEPpJHAhh/G0cVj1h5Akvi3mx2Sw2CN7/CQJSklLw4rUvhh5UmHzjSrYmB91WoW7L2bNnY82aNbppWltbVZfn5eUhKSkJpaWliuVjxozBBx98AAAoKipCd3c3mpqaFHeNNzQ0yHezFxUVYdu2bYoyGhoa5HVqioqKcPz4ccWynp4eNDY2Br1LPhY4MD7QnP0N939EREREREQUVcLRrwH8HZIlCbjkTtjSKgEAmWe6AQBft8ZnYFySp1K34p9f/xObv96MJEsSfnvVb5Fpz4Qg9J5c8v0XQO+yRD2pF+eTc7p5YnRSMxyJesI1Zn3G/SYm/dbf2h9ObOGIRWwDvf1h15Og/dbf2t/vvgtjcXzyuzBhj08yV2dnJ+rq6lCSU4KUFP27tROJ3W6HyzOLl55IplK32+245JJLsH//fsXyAwcOYOTIkQCAiRMnwmazYePGjbjxRvcNtfv370d9fT3Kytwzm5WVlWHFihU4fvy4fPd6TU0NMjMzAwbdvcrKytDU1IQdO3Zg4sSJAIBNmzZBFEVMmjQprPaYiQPjRERERERERFFgsbinKhddIpBkR1J+PoAepDS6r+r/quWruMQlek7CiIKER7c9CgC4dcytKB9ZHpd4iIiIiIiIBori4mJs3boVhw4dQkZGBnJzc2HxzOblK5Kp1AHgvvvuw49+9CNcddVVuPrqq/H222/j73//O9577z0AQFZWFmbOnIn58+cjNzcXmZmZuOeee1BWVobLLrsMADBlyhSUlpbi1ltvxWOPPQaHw4ElS5Zg7ty5SE52PyJs27ZtuO2227Bx40acddZZGDNmDK699lrcddddqK6uhtPpxN13341p06Zh6NChYbfHLIE9TUREREREREQR8z7D2/tM76Sz3FfmW5o7YHVJ+Krlq7CeuRop0eW+Y3zXyV2ob6lHfmo+fnrhT2MeBxERERER0UCzYMECWK1WlJaWIj8/H/X19VGp53vf+x6qq6vx2GOPYfz48Xj22Wfxt7/9DVdeeaWcZuXKlbj++utx44034qqrrkJRURFeffVVeb3VasW6detgtVpRVlaGn/zkJ7jttttQWVkpp2lvb8f+/fvhdDrlZWvXrsXo0aNxzTXX4LrrrsOVV16JZ555JirtDBXvGCciIiIiIiKKAu8zvEXP1OXWs84DLF8AooDsVuCUtQ2nu04jNyU3pnFJnmeMf+jYChQD9068F+m29JjGQERERERENBCdf/75qK2tjUldd9xxB+644w7N9SkpKXjqqafw1FNPaaYZOXIk3nzzTc31kydPDrjgOzc3Fy+99FLoAccAB8aJiIiIiIiIosB7x7joGYgW8s5GUooLPe1JOKcnB6fQhF/+85dIt6VDggRJkiBCBCRAggRREt3LPeskyee173q/5b7/ihDlkxTe9OfVO5EPoEty4qKCi3D92dfHq4uIiIiIiIiIYoYD40RERERERERR4L1jHJIESRQh5J4NW6qInnagVCzCNjSh9lhs7hTwNaQrD/lIh2CxYPGliyEIQsxjICIiIiIiIoo1DowTERERERERRYHFYpVfi6IIa04JklLdd4//IOdqDJv0A4gQIUCARXAPoguCAAssEAQBAgT5X9X13jSe9QIEQIC8Xs7js14QBOz/+m845fgMsyfMxpjBY2LcK0RERERERETxwYFxIiIiIiIioiiwWC3ya1F0wZpTjKQ098B46snT+NHon8Ulrgb7OzgFYHB6flzqJyIiIiIiIooHDowPMA11zTi487ihtMZm0zM45Z6BZIYn7zNSlplTAZrXRE/C4ClNDd/UjjW7TiNlxXZbCiZv8D7dFybuO3HZp02sNC7bMeZ9ZqxCQ2WZ2cR4bEfD8Zv55WagqATtC7M/Nw0VZeLngJlfk4aLMtIAU48jo2WZuE+b+tvP4OeTaYkS+XdwbL9z47Hv9OXfTu46le97nN3y65P1Z2BPTYMlK8O97qtDJgUXOtHlHpy3WCxBUhIRERERERH1HxwYH2BOHWnFzg318Q6DiIiIiIio35Mkl/z6b499BMGSgpLMWSjBM3A2HI1fXKIIALBYrUFSEhEREREREfUfHBgfYHKHpuPC8uHBE0oGCjOSBoBkPKFZVRpPKAVPaGadxssyltJQKhP7wuw6Te0PM+uMx75tuDMMivG+bbDKEAozraQQ4jdvI5i6Pc08Ng0mNB5/jI9NwNi+bfLxFOt923idRssyszCjdZpXmLl9YXbCmBZl7raEwdhM/rDl9vQtKx7fiXHoC0Pxm/1lYaCoGP1GliQJXU3u18lpVnR3AictJSgB0HPylMEgzOe9Y1zgwDgRERERERENIKYPjLtcLixfvhxr1qyBw+HA0KFDMWPGDCxZssTcqewoLEVnZ6Ho7Kx4h0FERERERDQgPD7tMUCScP094/Hqbz9DuysdEoCexta4xSSKnEqdiIiIiIiIBh7TB8YfffRRPP3003jxxRcxduxYfPTRR7j99tuRlZWFn//852ZXR0RERERERJSwLBYLRJcLqRnuP79dohU9SekQutogtrXBkp4e85jkqdQtvGOciIiIiIiIBg7TB8a3bNmC7373u5g6dSoAoLi4GH/+85+xbds21fRdXV3o6uqS3zc3N5sdEhEREREREVFcWCxWiC4XLBYgJd2GzjYnutMyYWtug/P4cSSXlMQ8Jk6lTkRERERERAOR6fOmXX755di4cSMOHDgAAPj3v/+NDz74AN/61rdU0z/yyCPIysqS/xs+3MDzr4mIiIiIiIj6AO/gs+hyIT07GQDQMyjT/e+Rw3GJSXR57xjnVOpERERERESxNHnyZMybNy/q9TQ0NGDGjBkYOnQo0tLScO211+Lzzz9XpOns7MTcuXMxePBgZGRk4MYbb0RDQ4MiTX19PaZOnYq0tDQUFBTgvvvuQ09Pj27djY2NuOWWW5CZmYns7GzMnDkTra3xe5yYL9PvGP/lL3+J5uZmjB49GlarFS6XCytWrMAtt9yimn7x4sWYP3++/L65uZmD40RERERERNQveAefRVFEenYyTh1phTMjBwDQc+hT4MrJMY+pdyp1d2ySJKF961b0nDoFiCKkHhcgupT/GiEIBtOZU5ZgpD5DMRmN20h95pSTmG0zp/3mtc1oOrbNjGKMxm1aH5jWfiPF9NW2mfeZy7bFsv2AWftu321bgrXfaLoYfi4N+La5EwKSFDyNl1Za1fokA2l8k0sh/H4LErM7pXYsqmk00urF5O0Ps34H+KbT2S6B21clrZG4De5vPc4eSK4eSN3dkCwaeULdl9yBBK8/HIIFQpItOmX7kSQJN9xwA2w2G/7v//4PmZmZeOKJJ1BeXo59+/Yh3fNIr3vvvRfr16/HK6+8gqysLNx99934/ve/j3/9618AAJfLhalTp6KoqAhbtmzBsWPHcNttt8Fms+Hhhx/WrP+WW27BsWPHUFNTA6fTidtvvx2zZs3CSy+9FJP26zF9YPzll1/G2rVr8dJLL2Hs2LHYtWsX5s2bh6FDh2L69OkB6ZOTk5GcnGx2GKTh69Pt+PRYS9B0UrAPChj/aDBQlOESjZZlZmySwdLMjM1I/4ci1u00fzuZtz8aTWikPwbK/mi0MGP7tqGiDB8DptZpLJmpx6fx2AbG/misLBM/qwzXaTBdHLaTkQL7QzvN3B/NTDZQ9kej4vH7MVH3R6Olmfu7qm/vjyYfwnHaH9UN75FgBfDrv+9BXmM6sgB0DyoAAPTUf66RK7pEUTmVevNrL+Po/cvjEgsREREREVE4xCFD4FryALpECbBYIEkSJJ9HN8eSkJwc9MIPi92Cnz78GDZv3ozNmzejqqoKAFBXV4fi4mJT4/n888/x4YcfYs+ePRg7diwA4Omnn0ZRURH+/Oc/484778SZM2fwxz/+ES+99BK++c1vAgCef/55jBkzBh9++CEuu+wybNiwAfv27cM777yDwsJCTJgwAQ899BAWLVqE5cuXw263B9T96aef4u2338b27dtx8cUXAwCefPJJXHfddfjd736HoUOHmtrWUJk+MH7ffffhl7/8JaZNmwYAGD9+PA4fPoxHHnlEdWCcYuuDz0/il69+Eu8wiIiIiIiIBoQ7XBLSAWze34BRrkJcARu60jwD40e/jktM3meMe+8Yb3z6CQBAcpYTSSkiYJHcN00I3n+N3UgTUzGsL6Ztk4zesmNCVX11mxkqJ3g/mnidkzlMqsvsi8aDM7DPxrJt/Xqbxe7zof9+xhpJZF4/m9a2BOsj08KJ5T4NxLhtZhVkVl198HvRxPpi27YB/L1ouL7oHftSVxfqf3Jr1MrXM2LN/wchJSVouqqqKhw4cADjxo1DZWUlACA/P1817ezZs7FmzRrd8rSmJ+/yXCCQ4hOTxWJBcnIyPvjgA9x5553YsWMHnE4nysvL5TSjR4/GiBEjUFtbi8suuwy1tbUYP348CgsL5TQVFRWYM2cO9u7di4suuiig7traWmRnZ8uD4gBQXl4Oi8WCrVu34nvf+55um6LN9IHx9vb2gOeUWa1WiJ6p2ii+Bmck46IR2YbSGp5Bw8g0IobLMpjO8HRwpiRxpzM5NlNnxDGxTqOMTntjfv8aKSsesZm7DcyMzez9w9T90vT+MG/bm7+tTNwv4/TZYG6/xWO/HEDHqbFkxqcwM1SWwXRmfk8aqzKE/ahvH6cJ/ZvGWJWGg+sfx5+RNOaeMDBz28ejP9zlmRebUZF+NjQ9Z4fU1oFbLhmG97Z1AwA6k/MAAM7jx80IMWTeqdQFqxUd772Ozq+aIVgkjHhwFpKGjIB7JNzS25ne14IFvaPkIXR0SBslWuVGs+wEKDfk5AkQc1T7oo/FzH05NmX3tWMkmmUnRLnRLDsByo1m2Wb/2Am73ATo54QoN5plJ0C50Sw7IcoNUULEzO0HuGcJ6+zsxqGvjyK5uBgpKSkQ29tDiMlcKaNHwZKWFiSVgGSLBXa7HWlpaSgqKtJNXVlZiQULFoQVj3eAe/Hixfif//kfpKenY+XKlfj6669x7NgxAIDD4YDdbkd2drYib2FhIRwOh5zGd1Dcu967To3D4UBBQYFiWVJSEnJzczXzxJLpA+Pf/va3sWLFCowYMQJjx47Fzp078cQTT+COO+4wuyoKw3+VFuK/SguDJyQiIiIiIqKIPfNnO1ragB/+x1lYv+NLAEC7JRsA0NN4Ji4xeadSt1gsOP2U+7lwg8bnI+nahXGJh4iIiIiIKBQCAEF0X8ArWCwQLBZY0tMx6uMd8YknNdX0i9sLCgoCBpiNstlsePXVVzFz5kzk5ubCarWivLwc3/rWt0x/lG9fY/rA+JNPPomlS5fiZz/7GY4fP46hQ4fipz/9KZYtW2Z2VUREREREREQJzeJ5jrdVkJCelQy0Au2uVABAz5nOuMTkvWNc/Ow9tO5rBiAg52f3xyUWIiIiIiIiMwiCACHoXdt9RyRTqQPAxIkTsWvXLpw5cwbd3d3Iz8/HpEmT5CnOi4qK0N3djaamJsVd4w0NDfLd7EVFRdi2bZui3IaGBnmdmqKiIhz3mx2tp6cHjY2NQe+SjwXTB8YHDRqEVatWYdWqVWYXTURERERERNSneB81JoouDM5PA460w9mTBFFIQk+bE5KzE4It+LPozOR9xnj73/4AySUgeVg2Uq+6NqYxEBERERERDUR2ux0uz99keiKZSt1XVlYWAODzzz/HRx99hIceegiAe+DcZrNh48aNuPHGGwEA+/fvR319PcrKygAAZWVlWLFiBY4fPy7fvV5TU4PMzEyUlpaq1ldWVoampibs2LEDEydOBABs2rQJoihi0qRJEbcnUqYPjBMRERERERGRm2Bx3zEuuVwYXpSOHrQhCQK6krOQ2nkKrg/XImloCSBJACT3v5IESKLPe7XXoicPel8bzCN2uu8qaD3QhVQAOXf8zPRp/4iIiIiIiChQcXExtm7dikOHDiEjIwO5ubnyBdW+IplKHQBeeeUV5OfnY8SIEfjkk0/wi1/8AjfccAOmTJkCwD1gPnPmTMyfPx+5ubnIzMzEPffcg7KyMlx22WUAgClTpqC0tBS33norHnvsMTgcDixZsgRz585FcnIyAGDbtm247bbbsHHjRpx11lkYM2YMrr32Wtx1112orq6G0+nE3XffjWnTpmHo0KFht8csHBgnIiIiIiIiihLvVOqiKGJkXhYclgZkiwKcg7KR2nkKzpcXwZLlBAT3c/LgHZ8WgGiNVUtdlwGwoafdCkuaDVnf+0F0KiIiIiIiIiKFBQsWYPr06SgtLUVHRwfq6upQXFxsej3Hjh3D/Pnz0dDQgCFDhuC2227D0qVLFWlWrlwJi8WCG2+8EV1dXaioqMD/+3//T15vtVqxbt06zJkzB2VlZUhPT8f06dNRWVkpp2lvb8f+/fvhdDrlZWvXrsXdd9+Na665Ri7/97//veltDIcgJdhT1pubm5GVlYUzZ84gMzMz3uEQERERERERhe1Pi36OE4e+xI2LH8SXKcNQ8+RuDHNZMeH4/yJ337vGChEgD5gLguf//N970gk+67zpBJ/1EAS8NfwsOK0WXPVpPUb8+McoXLzYlLYSERERERHFSmdnJ+rq6lBSUoKUlNg+nopiT297hzK2zDvGiYiIiIiIiKLEYvG5Y3xwOlosEuACpPFXAkYHxj2zrEP+R1Ks8n1vhDjc/a/VbkPOLbeElJeIiIiIiIior+LAOBEREREREVGUWKzuZ8WJoogROWlos7gHsTvOvwijdu0EXC7P48U9zwkXRUiSz7PGVd5DknqXed+LntFzvfee540Lj/4K6HFi5Isvwj5iRNz6hoiIiIiIiCiWODA+wLQ2nkLj0SO6aYI+xy5IAgFBCoh6+UHyB31OX7D8Bh70F7QLIm1DhA8bjHL5QfMH3cZBK4is/gj30UjLj/4xFudjIMLyzagj3sdYpMdAtMuP9HM68Y+BaJef6MdY/I8BIiLqJXjuGJdcLtiTLLCm24Au4OSJDljiNN2f6Hmimn1IUVzqJyIiIiIiIooHDowPMF/u/Ag1zzwZ7zCIiIioPxvwF2fE++Ie/ezRvjgj8v6J9wV0wcX7IkAeY8GKj/QiSXO3X/OJ4wCAjc//D7a8shYF1nEARqH5dGewkqJGFF0Aeqd5JyIiIiIiIhoIODA+wKRkZGDwsPCnypOkIM+uC7I+6JPvgpUfpITg8QVbHWH7gjcwSH4DzwaMchuivQ0NtTGS/NHeB4OWH+E+GPExECx7dOOPvPw4H2PRPr6IBopof1aGGA4RUSJoO30KbadPISejA7CNQneLMy5xSJ6p1QFAsFjiEgMRERERERFRPHBgfIA5f9IVOH/SFfEOg4iIVER64QcwEC7O6OcXQEU9/giHlBP+4qf47v99/vgyUkacj4HIy+/fFwBGu/x4H2N99Ttm85rn0HDwc1xQfi12v/M2LN0tgA1AhwuSJMX88RWiKMqvLVbeMU5EREREREQDBwfGiYiIEoQZzybnk6GJiIgSS1pmFgAgb0SJe0F3B6Q0JyywobPNidQMe0zj8U6jDnBgnIiIiIiIiAYWzptGREREREREFCXe6cqtSUmwp6YCADqkFgBA6+mumMcj+dwxzqnUiYiIiIiIaCDhHeNEREREREREUWKxuO/KlkQXMnIGo7Hja3RILUhDLo4ea0X+8EExjUd0+dwx7o1NknDs4Bm0NXXB5RTR0+2Cq8fA1P0RT3ZjYDacCKfDMZQ/wkrMmA0/+MxBkZZvKFVkZZjRhGhvCwPFC6Y0RCNrBO2LpG3RbVP4CUz4iNCpNvw2RxJXRH0d6WaKUl9H/FkeUV/rtCmSj4ugIUfQpjh9RkTzO5l97Z85WNnhFxDVvo7md1AkbeL3qjJrX/xejfj7S2+Vfm5XjwhJkuT/+oJYP0qLAnFgnIiIiIiIiChKvNOViy4XMgbnofHo1xAtbQCAr4+04sIYx6McGHffMf7Z9gZsem5fjCMhIiIiIiIKX0qWBeO/nYXG5DbYkpzxDicol0XAkBhfGE2BODA+wIiSBFHnwplg19RIQVMYKCNIguAxBFtv4MqgqMcQZL2Bq5eiH0Nk+d1pIrsKKxH2hejHEKz+yPeFSPPHYl+I9+eCO02QGCPs6ETYF/rE50KcjzkgeF/Hu5/dZUQWY9Dy+8Ax1xf2haDlB63fSBlR3l/7wL4QvPzI1rtj6P+fC0GrMOU7INj6/v+5oLa+vdN9gmZLYzPElAwAgC2pHXABx4+3GYjKXPJU6oIgT6W+4Y0vkATgpEVEs0VCjwC4gmyxSO9ziOyGqAjvKo4ot4H8EX6uxbNvI83fl2M3pXydbd9Xt0ukx5t+2fHLH1HeOB/j0Sq7rx77Ue3PCLZ15H0SwZ2wEdUbPQm9nyTo53c0y+6vx3w0v7eIzDJ58mRMmDABq1atimo9r776Kqqrq7Fjxw40NjZi586dmDBhgry+sbERv/rVr7BhwwbU19cjPz8fN9xwAx566CFkZWXJ6err6zFnzhy8++67yMjIwPTp0/HII48gKal3iPm9997D/PnzsXfvXgwfPhxLlizBjBkzdOPbvXs35s6di+3btyM/Px/33HMPFi5caHY3BODA+ADz52ON+O/9X8U7DCIiIiIiogHhurZOjAXw1vHTSHFZUQbAZmkDXMCZxs6YxyOK7jvGvdOof/7FaSSd7IYICdJV+SjOT4PFIsBqEWAVBFgsAiwCYDE45Z+RZIZPVxqt07yiDJ1MNV6WwXRmTO8dQqXG44pD/5vYF2bOUhmXvjCxnWbui0ZLM/M46ev7opnJBsq+aMpjD7zp4tH/MT8ujZWYqMeluzwjZcXj899gOjP7P2H3f2NlxXpfdJdnoE4D5UiSpB+b5C0r9P4PfjG0/t2MenH55lTtC7+iBb2VirKCx63bFz55VcNSKdtQbELvqh5nF5pPOzCoIBUpKSn6wSaAWE+j3tbWhiuvvBI33XQT7rrrroD1R48exdGjR/G73/0OpaWlOHz4MGbPno2jR4/if//3fwEALpcLU6dORVFREbZs2YJjx47htttug81mw8MPPwwAqKurw9SpUzF79mysXbsWGzduxJ133okhQ4agoqJCNbbm5mZMmTIF5eXlqK6uxieffII77rgD2dnZmDVrVvQ6BRwYJ6I4CX51X5D1JvyREexHTKQxRNrGYCmiX78ZfRBhH0dYfzCRxmckhojbmAD7QWT1R/7HSfSPxfh+FhgR7/0g0T8LzBgEiPd+EO/PAqNpIoshvt8J0d4HjMQQNH/Q9XH+LDBlP4vusRa8/mDrze/jwjT3CZrzU2zYm2QHANjhvlO8s7k7SETmk1zuO8a906j/7ZXPMAhAY6YVv/rRBXzmHRERERER9QmdnUlob7bAbrPCbrNCkiT0dItxiSXJbjH0t9SMGTOwefNmbN68GVVVVQDcA8vFxcWmx3TrrbcCAA4dOqS6fty4cfjb3/4mvz/nnHOwYsUK/OQnP0FPTw+SkpKwYcMG7Nu3D++88w4KCwsxYcIEPPTQQ1i0aBGWL18Ou92O6upqlJSU4PHHHwcAjBkzBh988AFWrlypOTC+du1adHd347nnnoPdbsfYsWOxa9cuPPHEExwYJ3PdWJiD6/KzdNNEfsIsBoMgEVbQ10/MxiaGYOXzhBkRERERUTD/eD8LewB8Lz8LH7a4l1l6WgEAUntPzOMRPVOpC1YrPj/WDGt9OwABl//XSP7GJyIiIiKiPqunW8Qzv9gcl7pnVX0DtmRr0HRVVVU4cOAAxo0bh8rKSgBAfn6+atrZs2djzZo1uuW1traGHqyOM2fOIDMzU54mvba2FuPHj0dhYaGcpqKiAnPmzMHevXtx0UUXoba2FuXl5YpyKioqMG/ePM16amtrcdVVV8FutyvyPProozh9+jRycnJMbZcvDowPMClWC1KslniHQURERERENCBYPH9/JUkSUnPyAACuzmZYkwFbt+SZsjF2A9KiyyXH9exf9mKEJKDbLuCab46MWQxEREREREQDUVZWFux2O9LS0lBUVKSbtrKyEgsWLIhRZMDJkyfx0EMPKe7YdjgcikFxAPJ7h8Ohm6a5uRkdHR1ITU0NqMvhcKCkpESzXA6MExEREREREfVBFqv7rgFRdCE/z30ngNjeDMnuQiqscJzuwJDctJjFI3meMS5KAqSDrQCsGF02RB7AJyIiIiIi6ouS7BbMqvpG3Oo2W0FBAQoKCkwvV01zczOmTp2K0tJSLF++PCZ1xgsHxomIiIiIiIiiRPA8y1sSRYwYnIseixVJogsusQ1J1kzMrP4Q3Snu5+FJACQJ8mtRkjzvoVgvyq896xVpe5dJkgRRAiT0lpPTdRI3AWjudGFkshUSgCum8G5xIiIiIiLq2wRBMDSdeV8Rq6nUW1pacO2112LQoEF47bXXYLPZ5HVFRUXYtm2bIn1DQ4O8zvuvd5lvmszMTNW7xfXy+JYbLRwYJyIiIiIiIooSi8Vzx7jLhXPSU/B1Riaym0/DZWtDkpiJ84650C70QPKkl3z+g+AZ1Pa+91/vfS1orRM8rwV3OQKQ5nSvs8EdV9GobGQOVj9ZQUREREREROay2+1weR5xpScWU6k3NzejoqICycnJeOONN5CSkqJYX1ZWhhUrVuD48ePy3es1NTXIzMxEaWmpnObNN99U5KupqUFZWZlmvWVlZXjggQfgdDrlgfiamhqMGjUqqtOoAxwYJyIiIiIiIooaeSp1lwslqcn4NN09MF4w2IUzJ4DznbG9o0HssaIbQBLco+n/cfXwmNZPREREREQ0kBUXF2Pr1q04dOgQMjIykJubC4slcCr2SKdSb2xsRH19PY4ePQoA2L9/PwD3HdlFRUVobm7GlClT0N7ejjVr1qC5uRnNzc0AgPz8fFitVkyZMgWlpaW49dZb8dhjj8HhcGDJkiWYO3cukpOTAbjvbF+9ejUWLlyIO+64A5s2bcLLL7+M9evXy7GsXr0ar732GjZu3AgAuPnmm/Hggw9i5syZWLRoEfbs2YOqqiqsXLky7PYaxYFxIiIiIiIioijxnUr9nLRktKRnAQBGliYjLedsiC7Js959Zzgk39fKqdSh+Fe5TAIAsXcadYg+062L7lgkSUJ7Uye+3A7Y7Db8R8UIFF+QF8vuICIiIiIiGtAWLFiA6dOno7S0FB0dHairq0NxcbHp9bzxxhu4/fbb5ffTpk0DAPzqV7/C8uXL8fHHH2Pr1q0AgHPPPVeR1xuT1WrFunXrMGfOHJSVlSE9PR3Tp09HZWWlnLakpATr16/Hvffei6qqKgwbNgzPPvssKioq5DQnT57EwYMH5fdZWVnYsGED5s6di4kTJyIvLw/Lli3DrFmzTO8HfxwYJyIiIiIiIooS+Y5x0YURKcloy8gEAJzpaMJ//rg45vF8/ZmAL7cDGTmpKPveucEzEBERERERkWnOP/981NbWRr2eGTNmYMaMGZrrJ0+e7L7YOoiRI0cGTJWuVtbOnTs11y9fvhzLly9XLLvgggvw/vvvB63fbIH35hMRERERERGRKXyfMW6zCLBl5QIATpw4Hpd4JM+z7ASVqfqIiIiIiIiI+jPeMT7AtH9yEi0b67UTCGEUqpdHCKPAcGLQqUu3uLDaG2aAZvetxspww9OsK6btDT1T+O2N0b4Zhf7TXJXgx2K4dWm3N7H3zXD7T9Cqy+xjWz+I2NQDnfZGoS7T2xXOwWj2sR1mXebmCW+DhJUtZttQZ2XY+3oYQZh+3Mduf9Hv2lh9zsWyvbE8FmPUfzrHm/m/r8Nc2Ud+X/ec7AAAOE+1o2PfKeRn5wMAmhtPhVlwZETRPa+69052IiIiIiIiooGCA+MDjNjhhNPRFu8wiIiIiIiIBoTOJvcAeMfnjTj1p324MT8PHwLobmqMSzzeO8a9d7ITERERERERDRQcGB9gUkblIm/mOPWVwR8loJJHO5PmmnDq0asr7PJCXhFWXfqPaDC3Lv08satLu2v7a3v75r6pmyemx3YYBcZwfzHwmBVz6tLdHuHEEN4GCa+94Xw4hlGPbr7w9pfw9ucwCjT7u083TzjVhBlgH91f+m97E+B3mW4ek+sx/dgOMw4z6+q3n93m/lbSDj2Wvx308ikz2oRU4DQgpLgHogva3VOYC81NEEVXzAeovXeMcyp1IiIiIiIiGmg4MD7AJGUlIykrOd5hEBERERERDQhfrT8MfAnYzx4EnABS2kVIggWCKKL9zBlk5OTGNJ7eqdQ5ME5EREREREQDCwfGiYiIiIiIiKLEOwAtCRJgAQQREDMKYG1x4MypEzEfGJenUvd7xrjjiwNoOXUSXR3t6O7ogMvZrV+QxsPX9R/jrvPset2HuevlC6++sMrUi1+v5brt1s6mH6NefaGXqVmebjVaecLdziHmMXMf1N22IZYFvXaat9/p73OhVhLu9gw1gND3tXCOLfP3gTCOjxD3gXA+y+K9D4Tz+RXOZ1dY+0AYnzVmlqXfTvP227C+OzU3c+hlmb/fxmBf62f7bajfkWGVpVNeOJ9DsfiOdJcWxj4Qk/3WvO9I96rY/B4j6k84ME5EREREREQUJd4BaFEUYR2UDNeZLlgyioAWBw47GnDWuaNiGo8ougfGfadSP7C9Fn//3YqYxkFERERERH2DpDEAL4VxAYDWKq069KQOzsMlP7oNx5MssFlj+4iqcIjJKTjrrGHxDmPA48A4ERERERERUZR4B6AlSYQ12z0wnpGWjzYAXzU0xDweeSp1n2ebv/n3/wMANGbl4UxmDrptdvQk2TQfs657yirI8+sjyatfbnjPmA83X9C8evkiaWcEebUaJGgWqV1XzPJoZtFoSxjbM6ztqLMdQo1ZN0/I28zkPLpZQu+3UPdf07eniftAWMei5n6rm0mj/njn0dufNdYl8H4bi+MWCK8/473fhpUnjH3A1P1GM3l8P7uB0PcBvWMg3N8hROHQ2t/M/FwLR5LLBUFyf1ZF9js5RvpCjAMAB8aJiIiIiIhowJJ0T06Et863TO9UhWJPDyyZNgBAdmou2gCcOHEihEjN4T+VesPxBvTs3wsBwNfTZiNryBCkCwKSBAFWQUCSAFghBJ2R08j9HbrTUCL4rJ/B6oh4fZAAIi3fiMj7IMI2mLKdg62P7n4QTLT3A0N1BI0h0vIj62MjEv14i7yPg3dSxJ8JUf/Mi3w/6O+fu8b6IMr7apz3AzNiCFp+0Prj+3ngjiFYGfHdD4Ix+jtM83evJIW+H/iV5bteUvmdLLhX6NSvFYCkWr9/UwS9lXIavd/vKpX41O/O75dAqw80ry7VGyzWuF/aJ0tAH2j2s87FGVp3a0vqdShWBqxXr0fvzyvtbSDJKTRXqdQv9fRAaG1BRtFQJKekBAtNh3kD1oJOaRZOY58QODA+wDQ378aJEzUaa3W+GMJYo3/1i8aHZpgnnsK50iYadWmXGW5deqvMrqt/bhPz97XQ85jdrrDL02N6Xdo/tLVzhPsDxOy6EqRdmmWa3K4BuU30hPHZanq7zP5eCLcus7/v9KoyOXaDg1Wm1NVPt0ksf++EPyhpZl3RHRg1zuy6zG2XfpPMrsv8bRIvjQcyAZyFkyc342h2D3JxLXLtWTgCoPnUyZjH471j3Hsn+5/Xr4cACSfOKsGzkyfBZuHJGiIiIiIiSnydnZ2oq+tAqt2OFLs93uFQH8GB8QGmpWUfDh3+f/EOg4iIiIiIaEDw3hQgSQJ6UhoBADnWdABAV1NjzOMRfe4Yb3b2oLF2M7IAnH/VNRwUJyIiIiIiirLJkydjwoQJWLVqVVTrefXVV1FdXY0dO3agsbERO3fuxIQJEwJi2bx5s2LZT3/6U1RXV8vv6+vrMWfOHLz77rvIyMjA9OnT8cgjjyApqXeI+b333sP8+fOxd+9eDB8+HEuWLMGMGTN049u9ezfmzp2L7du3Iz8/H/fccw8WLlwYcbuD4cD4AJOecR6GDbtNJ4X6iRDd6WJ0p38Iozw9mnVpl6dfl8a6MNqkvyYadYXeF+FtKz2h1xXW9tBbp9Omvr09Qq0n3LpieezolWZu/4VVnm5dodYTZl1htSlYXVpZEuHzhdsjsrrM/TwI+7s5Zv1n9ueBXgh9OPaE/26OTZv06wrzuz6s77gwPhvD/C0Szv5nepsS4rNMT3y2xwHbhzi86UlkZlwIZ8oxAECW6L6bQWg+rVNGdEiiZ2DcYsUf/lWLrDOn0GOzY9qUKTGPhYiIiIiIiKKjra0NV155JW666SbcddddmunuuusuVFZWyu/T0tLk1y6XC1OnTkVRURG2bNmCY8eO4bbbboPNZsPDDz8MAKirq8PUqVMxe/ZsrF27Fhs3bsSdd96JIUOGoKKiQrXO5uZmTJkyBeXl5aiursYnn3yCO+64A9nZ2Zg1a5ZJPaCOA+MDTHbWRGRnTYx3GERERERERAOC3T4IACDADim9EwCQ0uVel9JyBp0uF1I8z/uOBe9U6j0APt28EWMAZP/HJMXJDyIiIiIior5GkiT0dHXFpe6k5GRDF5/PmDEDmzdvxubNm1FVVQXAPbBcXFxseky33norAODQoUO66dLS0lBUVKS6bsOGDdi3bx/eeecdFBYWYsKECXjooYewaNEiLF++HHa7HdXV1SgpKcHjjz8OABgzZgw++OADrFy5UnNgfO3ateju7sZzzz0Hu92OsWPHYteuXXjiiSc4ME5ERERERETUV3mf5S2KLthysgAAlnYJAgTYXD14/vPDyMvOhgT3c9xFSPJrCYAECaL8GhAl3/WSZ5lyHeRlfushAcdPwwrg45Z2nPPFPgDAt669Lmb9QUREREREFA09XV34/fQfxKXun7/4v7ClpARNV1VVhQMHDmDcuHHyXdr5+fmqaWfPno01a9boltfa2hp6sH7Wrl2LNWvWoKioCN/+9rexdOlS+cLp2tpajB8/HoWFhXL6iooKzJkzB3v37sVFF12E2tpalJeXK8qsqKjAvHnzNOusra3FVVddBbvPs+ErKirw6KOP4vTp08jJyYm4XVo4ME5EREREREQUJRbP3eCiS0RKTgEkoQeClARrej562o7jxW07cCo7H5IgQBIEAJ5/BUDyvJYEARI8y3zSuJfDL5/+XQoXnzqDqwG0NTYix9kNW14Bho8ZF+VeICIiIiIioqysLNjtdt27tL0qKyuxYMGCqMZz8803Y+TIkRg6dCh2796NRYsWYf/+/Xj11VcBAA6HQzEoDkB+73A4dNM0Nzejo6MDqampAfU6HA6UlJRolsuBcSIiIiIiIqI+yOK5Y1wSRaRnnIee5CbYOvNQkDsMR9uO44frXzS9TgkCYPEMkAsW9yPPBQGSYAFcPQCAs45/BQC45JtTwnzePBERERERUeJISk7Gz1/837jVbbaCggIUFBSYXq4v32nLx48fjyFDhuCaa67BwYMHcc4550S17njhwDgRERERERFRlAgWzx3jogtpaeegKeVr2DrzMH7cZTh58jOILhcgSZAkEZIkyf9BkoKUrFMnJPf86e6afZb7pJEk2FNTMW6ycso7IiIiIiKivkgQBEPTmfcVsZpK3dekSZMAAF988QXOOeccFBUVYdu2bYo0DQ0NACDf8V5UVCQv802TmZmpere4Xh7fcqOFA+NEREREREREUWKxep4x7nIhLa0EJ1N2AwBGnH0B7pnxsm5eyTNgDgnugXPR89Rw0TuQDuV6z4C6JEmQRPfTyiXR86Ry0b1851tv4OO33sCoy69C+Z0/Q0p6RrS7gIiIiIiIiDzsdjtcLlfQdLGYSt3frl27AABDhgwBAJSVlWHFihU4fvy4fPd6TU0NMjMzUVpaKqd58803FeXU1NSgrKxMs56ysjI88MADcDqdsNlscp5Ro0ZFdRp1gAPjRERERERERFEjeJ4xLoki0tJGoif5NADAeboJwDD9vIIAQbB63ll10xplT0sHAKQOGsRBcSIiIiIiohgrLi7G1q1bcejQIWRkZCA3N1d+BJevSKdSb2xsRH19PY4ePQoA2L9/PwD3HdlFRUU4ePAgXnrpJVx33XUYPHgwdu/ejXvvvRdXXXUVLrjgAgDAlClTUFpailtvvRWPPfYYHA4HlixZgrlz5yLZM3387NmzsXr1aixcuBB33HEHNm3ahJdffhnr16+XY1m9ejVee+01bNy4EYD72eYPPvggZs6ciUWLFmHPnj2oqqrCypUrw26vUYE9TURERERERESm8J7gEEUXLJZkYJB7avPuxqa4xCOJLk9c5gy0ExERERERkXELFiyA1WpFaWkp8vPzUV9fH5V63njjDVx00UWYOnUqAGDatGm46KKLUF1dDcB95/o777yDKVOmYPTo0fjv//5v3Hjjjfj73/8ul2G1WrFu3TpYrVaUlZXhJz/5CW677TZUVlbKaUpKSrB+/XrU1NTgwgsvxOOPP45nn30WFRUVcpqTJ0/i4MGD8vusrCxs2LABdXV1mDhxIv77v/8by5YtUzzzPFp4x/gA09bWhubmZsPpBUEInihB0sa7/kRIG+/6+1raeNefyGlDyU9ERERE2rwD0KJnqrykbPcz1lxNnXGJxxuHoHJHAhEREREREUXX+eefj9ra2qjXM2PGDMyYMUNz/fDhw7F58+ag5YwcOTJgqnR/kydPxs6dOzXXL1++HMuXL1csu+CCC/D+++8Hrd9sHBgfYD777DPF1R5ERNGQqAP+sUwb7/oTIW286+9raeNdf19LG+/6+1raeNefCGnjXX9fSxvv+vtaWr10nadOAAA62tvx9ttvIycpA5kApBbDYZhKFN13rFusvGOciIiIiIiIBhYOjA8wNpsNgwYNMpRWkiTD5RpNG40yEyFtvOsPJW206ifyxf2MiIiIyM3S2Y50AN1dXfjwww9RkJeKswCgwwbJJUGwxnamHslzxzgHxomIiIiIiGig4cD4AHPBBRfgggsuiHcYNEBoDXjGexA/3mnjXX8oaeNdf7TSxrv+UNLGu/5Q0sa7/miljXf9oaSNd/3RShvv+kNJG+/6Q0kb7/qjlTbe9YeSNt71RyttvOsPJW0s6u88fQqf1e1DUpL7z++Wth5IQg8EKQmuli4kZacYLtcMoqg+lXr30Va4TndCbO+B2NEDsculWUZYT90JJ5NWFs2idOoIsXrtcFVWhFK2alqNAoyWG0p2tYZFHL/GigjLFRKxr7XSqj2eKpT8IaWLXb8YPmxjGWsonyWhVG+03Djvg6Z8NhnerpH1tXax0ejr6MSqemyb8pkZQaGRxh9puZHGasI+bPzQis73q3raUGYkirDcaHwOhXQMG64o7rGqZufjI4kGPA6ME1HUaP3Q4A8QIiIiIhooGo8ewWev/Ak2zx3aHR1OdCSfQlpnIXpOt8Z8YFzyTqVu6b1jvOOzRpx6YW9M4yAiIiIiSmQS1C6M1bhYVvV0dwizZAqhzKgZmFaKc/2hlCupvAolv6+eDCt6/nMwuhtaICR1GY/LMJX6IxnaSHIhuWBwBAWQGTgwTkRERERERBQlFs+d2aIowmazwel0oiW5EWmdhWg/cRQpJXkxjUdUmUq98f1/A0hCd2oDutMdcNnaIFo71E/6aJ4L1DtDFMbZI/Wze+GVpXU3rOZ5thDqDqmMEO7c02y/0RKMxqrRNxG3NYR0BtuquY9F3FfGy9Tfzw3UZXgbGM+vHlPkbVWntg/Hrq2htEt9H474dnX1pIa3iwbVuCKMVXMfNr5UVaSxquQPqa/i/jkcjWMrWp/DkW4Xo/Wo51cX+fdr5J/DRr9zLMETUb8X0ndspE+KjDD/QL0NTXIK7uNaskCQYnTcRrCtvBcpU3xxYJyIiIiIiIgoSrwD0JLLhaysLJw8eRJtKV3AGaDr1ImYxyO63CdjvFOp97R2QfzSfdrv1GWvQMgDrNZUWCx2hHOKTfOEte6sUaEPgodXj1LvOS2z6zE+yBE0Bt3mhDN4a6w9EfWNHs1+C7OesParMOsLY1uEXRdgfl/pMWl/DpYn3LqClKi9Nuy6zG6bye3SrUsvfvO3mfnxx3K76JUW6/07jG0W5myMZrct/Avj9OrSWxXL/dtYmYaftiMIoQ34S71rwylT64KD8PcBmBy/z3L/crW2SyjxhzR4aXD/lpRrQy0vpDgMx6+zD6j1o+TNFST+UC5QkyTjx5IJ28V3XbcLaOsUYMkRYEmO1sC4eZcdCBabaWVR+KIyMH7kyBEsWrQIb731Ftrb23Huuefi+eefx8UXXxyN6oiIiIiIiIgSkmDtvWM81zMw3mF3D047G1tiHo/keca49072E7UfQJDs6Br0FSZ88w+w2TJjHhMREREREVGoOjs7cbquDknJaUhKie0jqqjvMn1g/PTp07jiiitw9dVX46233kJ+fj4+//xz5OTkmF0VERFRnyKpXEastiyU/ImaNt7197W08a6/r6WNd/19LW2860+EtPGuv6+ljXf9fS1tsHRdre7Bb9HlgsszjXlHkntQ2nWm23A8ZhG9zxi3WiFJEjp2noAdZ8E6VuKgOBEREREREfVrpg+MP/rooxg+fDief/55eVlJSYlm+q6uLnR1dcnvm5ubzQ6JfOzfvx9btmwxlDbeJ5hCSRvv+hMhbbzr72tp411/X0sb7/r7YloiIiIiABB6nMgAAEg4VFcHCAI6BPfAuNQS+6cBep8xLlgsOHHwXdgbz4IEEUX/+V8xj4WIiIiIiIgolkwfGH/jjTdQUVGBH/7wh9i8eTPOOuss/OxnP8Ndd92lmv6RRx7Bgw8+aHYYpKG1tRWHDx+OdxhEREQDmmDweXBG0/XntPGuPxHSxrv+REgb7/r7Wtp4158IaeNdv29a0dmNE5//27NUAiCgQ3Svs7SnGi7PLJLofca4Fae2bMcgXA7xrGakDC6IeSxEREREREREsWT6wPiXX36Jp59+GvPnz8f999+P7du34+c//znsdjumT58ekH7x4sWYP3++/L65uRnDhw83OyzyKCkpwQ9+8APVdX3xJFO80sa7/kRIG+/6+1raeNefCGnjXX8ipI13/YmQNt71m5E2lPxERETdHe148u1X3W/c4+Jo6XDPmmbtGoSu9pNITsuLWTyi5xnj7R1fIvPQ2QCA7EmlMaufiIiIiIhoIJs8eTImTJiAVatWRbWeV199FdXV1dixYwcaGxuxc+dOTJgwQZHG4XDgvvvuQ01NDVpaWjBq1Cg88MADuPHGG+U0jY2NuOeee/D3v/8dFosFN954I6qqqpCRkSGn2b17N+bOnYvt27cjPz8f99xzDxYuXKgbX319PebMmYN3330XGRkZmD59Oh555BEkJZk+dK1geumiKOLiiy/Gww8/DAC46KKLsGfPHlRXV6sOjCcnJyM5OdnsMEhDbm4ucnNz4x0GERERERHRgCBYrfLrQYMy0NLWjubWVogWJyyiDTu3zISY3gr3qLnkeXSLBEgiJHhfS/JrSRID00L0ee1dLvqlcec9cXwYgAw0fP53jGhfAinJhUEXFseuQ4iIiIiIiCjq2tracOWVV+Kmm27SnNX7tttuQ1NTE9544w3k5eXhpZdewk033YSPPvoIF110EQDglltuwbFjx1BTUwOn04nbb78ds2bNwksvvQTAfcPzlClTUF5ejurqanzyySe44447kJ2djVmzZqnW63K5MHXqVBQVFWHLli04duwYbrvtNthsNnl8OVpMHxgfMmQISkuVV5uPGTMGf/vb38yuioiIiIiIiCihWSy9A+P5eXloaauHy+VCZ2ob0tqykb3rv+CytQEQAcEzgO35V37vfe3/3vOv4r1afp/39W3HAHQg8+TFAICU0mxYkq0gIiIiIiLqyyRJguQU41K3YLMYmmVyxowZ2Lx5MzZv3oyqqioAQF1dHYqLi02P6dZbbwUAHDp0SDPNli1b8PTTT+PSSy8FACxZsgQrV67Ejh07cNFFF+HTTz/F22+/je3bt+Pii91/Qz755JO47rrr8Lvf/Q5Dhw7F2rVr0d3djeeeew52ux1jx47Frl278MQTT2gOjG/YsAH79u3DO++8g8LCQkyYMAEPPfQQFi1ahOXLl8Nut5vbGT5MHxi/4oorsH//fsWyAwcOYOTIkWZXRURERERERJTQLBaL/Dpv8GB8ebgeANCTnwm0ARknL4xpPLa2vwA4jJTWEUAGMGjiiJjWT0REREREFA2SU8TRZVviUvfQyssh2INfcFxVVYUDBw5g3LhxqKysBADk5+erpp09ezbWrFmjW15ra2vowfq4/PLL8de//hVTp05FdnY2Xn75ZXR2dmLy5MkAgNraWmRnZ8uD4gBQXl4Oi8WCrVu34nvf+x5qa2tx1VVXKQazKyoq8Oijj+L06dPIyckJqLe2thbjx49HYWGhIs+cOXOwd+9e+W71aDB9YPzee+/F5Zdfjocffhg33XQTtm3bhmeeeQbPPPOM2VURERERERERJTTBYgEEAZAk5PqcEJAuzkX2+FxIooTeGdMlz8reZZAkSJLPMvgu803bu15SW+apR3gvCegEUkqykTlhJJLPCzxJQURERERERObLysqC3W5HWloaioqKdNNWVlZiwYIFUY3n5Zdfxo9+9CMMHjwYSUlJSEtLw2uvvYZzzz0XgPsZ5AUFBYo8SUlJyM3NhcPhkNOUlJQo0ngHvB0Oh+rAuMPhUAyK++eJJtMHxi+55BK89tprWLx4MSorK1FSUoJVq1bhlltuMbsqIiIiIiIiooRnsVghunoUJwRaXe3IuGJ8zGOx7kkGTgKZVw5H5iTeLU5ERERERP2DYLNgaOXlcavbbAUFBQGD0mZbunQpmpqa8M477yAvLw+vv/46brrpJrz//vsYPz72f6/GgukD4wBw/fXX4/rrr49G0URERERERER9isVigegCcrKz5WWnTp2KSyyiywUAEKx8rjgREREREfUfgiAYms68r4j2VOoHDx7E6tWrsWfPHowdOxYAcOGFF+L999/HU089herqahQVFeH48eOKfD09PWhsbJTveC8qKkJDQ4Mijfe91l3xRUVF2LZtW0h5zBKVgXEiIiIiIiIichOsVsAJ2JOSYLfb0d3djRMnTsQlFtElAlA++5yIiIiIiIhiw263w+W5YFlPtKdSb29vBxD4t6HVaoUouv9uLCsrQ1NTE3bs2IGJEycCADZt2gRRFDFp0iQ5zQMPPACn0wmbzQYAqKmpwahRo1SnUffmWbFiBY4fPy7fFV9TU4PMzEyUlpaa31gf/EuYiIiIiIiIKIosVvef3qIoIttz13hTU1NcYpFEDowTERERERHFS3FxMbZu3YpDhw7h5MmT8iC0v4KCApx77rm6/+lpbGzErl27sG/fPgDA/v37sWvXLvkZ3qNHj8a5556Ln/70p9i2bRsOHjyIxx9/HDU1NbjhhhsAAGPGjMG1116Lu+66C9u2bcO//vUv3H333Zg2bRqGDh0KALj55ptht9sxc+ZM7N27F3/9619RVVWF+fPny7G89tprGD16tPx+ypQpKC0txa233op///vf+Mc//oElS5Zg7ty5SE5ODrtvjeAd4wNMe3sdzpzZpVwoCAHpBPgvC0wTcRkBecIpI1h6tXL14zBWhv/qcMoIJ44gZYa1LcMpwz9BYra/L8chqGyHyMuIURxB228gjoAyDNSbKO2PShzB0kcnDmPtJyIiomAEi3s6P0l0IS8vD8ePH0dbW1tcYhFFTqVOREREREQULwsWLMD06dNRWlqKjo4O1NXVobi42PR63njjDdx+++3y+2nTpgEAfvWrX2H58uWw2Wx488038ctf/hLf/va30drainPPPRcvvvgirrvuOjnf2rVrcffdd+Oaa66BxWLBjTfeiN///vfy+qysLGzYsAFz587FxIkTkZeXh2XLlmHWrFlymjNnzmD//v3ye6vVinXr1mHOnDkoKytDeno6pk+fjsrKStP7wZ8gSZIU9VpC0NzcjKysLJw5cwaZmZnxDqffOXLkL/hs/wPxDoOIiPqFcAbXwxmgD1ZvtOLwS2FKW0Kv15SLHAxcBBV5GeHEoZ9etYyobIfgcYTefiNlBKs3WnH4LzCjLWEcU1G5aDIa9SZK+8OJIzBHpHEYuuAvyL5trIxw4vDPEkYZIW4H9TICF9Q8uhNdrT34xt0XoE0ag3c3HQQALF26FNYYD1C/8N8/w6mv63HTsocxfOwF8vITJ07g1KlTaGlpQUtLCzo6OnTLCfcCumjmMyNNrOphLIyFsfSdehgLY2EsjIWxhF8Gb7qgaOrs7ERdXR1KSkqQkpIS73AoyvS2dyhjy7xjfIBJTilCbu5/9i5QvS5C8nvnn8bvvUoZgXn061ArJ2i9hsoIVq8ZcagsC3gbThnhxOFfRBj1+m//cMqISfu1yom0jHDar1+m+vVHoe3fxq5hCqeM0I+zwGLCKSOM45sSkIHvEBM2ZWJdwkdERBQ6UTwXgA3Hjr2OnLN2A7gYgPuPd61nrkUtFlfgHeNffPEF1qxZE9M4iIiIiIhiKZEG6RMpFrPEo03p6ekoKyvD8ePHkZSU+MOdVqsVhYWF8Q5jwEv8PYVMlTd4MvIGT453GEREEQtncD30PIl7YUB4ZYR64Ufwy4sCO8RIGcEusErc9oceh0q9ZrQ/rDJCjSN4LOGVEU4c8ao3Du3XLCfSMsKJI4x6Q9w3E6X9quWE/Hkf+rEZ/GLS4GWolxP6Z0TQWKISR2Ca0L9n1MoIp/1BlkR4QfF++7/gbO8CRAEu1zF5eWNjY+wHxj1TqVssvQPjW7ZsiWkMRERERESxlkiTJydSLH2Z1rO5E1Vfi7e/4sA4ERH1SeFMSd0PL8YkIiKiPsCevA8dcECSgJ6eJiQludDTY8WRI0dwzjnnxDQWyXMyxmKxAAC6urpQV1cnr7darUhOTobdblfNb/ROEKaLLB3TMi3T9o+0iRIH0zIt02qnNTJA6V+uXp5o3TUbrXjV0qvxltHX7nSOpN/08un1g38es/afYOXq5dFKqxaLGfGaVa6RfTc1NRXp6elITk7WTZsIvH+DUXxxYJyIiIiIiIgoirwnQCxCBoBOZGY60dhoRUNDQ8xj8Z9Kfdu2bfIJpzlz5nBqPyIiIiIi6hO8z5xOT0/nM8bJMF6eQERERERERBRFgmfacpstHwCQneO+a7uxsTHmsXgHxi0+A+MAkJeXx0FxIiIiIiIi6tc4ME5EREREREQURd5BaHvSYABAVqYTANDS0hLzWHynUnc4HHIMkydPjnksRERERERERLHEqdSJiIgo4QQ8Qyj4o6BU0phRRuBCA4+lik4sBio2FpuBRMGSGOgnQ00O1k9qi8xoo4FqzOknE8pQK8akcsPpp8Ai4hhLkP0nvGNVZWHY5egHY2T3D1qOGZ9HBspR78v4xBLW8Rur2FTSSJ4FUodn+vKWDGAQMMgzMN7R0WGgUHOJoicWixX/+Mc/AAB2ux3jxo2LeSxEREREREREscSB8QGm68smtO043rsgSiczjZ381i/DrFiMnTwLo9xolGEsSXRiCefEvEknDA1UFLQM9X0uStvMhAGjuA2sqaaJ0vGbyANrJsSimiPoAJ5Zx0ycjt9YDSARERH1M+IZ90C4q84CDAVSU9sA5MHlckEURfkZ5DGJxeW+Y7yrqwuHDh0CAIwdOzZm9RMRERERERHFCwfGBxjnyQ6072iIdxhERETUFwjhrBcMpAlWjnKBYEIZZsWiWmyC9JOhJpvRT2rrg3WCodgMdEKM+jowFBO2lxntUynHyCYNVkZYsRjo67COXVNiC16GsdhC36+1ykg6bQe6AWv3ILgAWCxNAEYCAD766CNkZmYCcM/C4J2JQe213jqjeVw97kH6mnfekdf953/+p4HGEBEREREREfVtHBgfYOzDBiHz2mLFMvXzPbE5WRtWtf4Bxy222J1wD1qGykYM7yRpkAUmDUzEbQAhjBOtUTlpr15wyGUEPWmvtihGJ4GFGJ3UDmsAIazto19mWGWolBOzwY0w9h1jsZnxmeG/PkqDG4l8nBpab8L3mKGOIyIiM9i+yACaAIvTPTDe1XkEgjABkiThzTffjGksGT0uCADqDh0CbHbk5uYiNzc3pjEQERERERERxQMHxgcY+9AM2IdmxDsMIiIiIiKiAcNidU+VnmTPgROAs+cUsrPTcfp0axyi8TzTxHOB1MUXXxyHGIiIiIiIiAamyZMnY8KECVi1alXU6nA6nViyZAnefPNNfPnll8jKykJ5eTl+85vfYOjQoXK6FStWYP369di1axfsdjuampoCyqqvr8ecOXPw7rvvIiMjA9OnT8cjjzyCpKTeIeb33nsP8+fPx969ezF8+HAsWbIEM2bM0I1x9+7dmDt3LrZv3478/Hzcc889WLhwoVldoCl2DzIjIiIiIiIiGoAsFisAICljEISeFADApMvOQ0ZGBtLS0pCamoqUlBSkpKQgOTkZdrsdNpsNSUlJSEpKgtVqhcViiXy2D0lSTCCSmpqK8ePHR1YmERERERERJZT29nZ8/PHHWLp0KT7++GO8+uqr2L9/P77zne8o0nV3d+OHP/wh5syZo1qOy+XC1KlT0d3djS1btuDFF1/ECy+8gGXLlslp6urqMHXqVFx99dXYtWsX5s2bhzvvvBP/+Mc/NONrbm7GlClTMHLkSOzYsQO//e1vsXz5cjzzzDPmdIAOQfI+VCxBNDc3IysrC2fOnJGfs0ZERERERETUV/3viqU4vHsnJk+ejvaznkR3xhFMuPAFDB4c/rO9fZ8hrvZccbVlPU4nnv3pTwAAt1X9AdmD82Cz2SJvIBERERERUYx1dnairq4OJSUlSElJgSRJcDqdcYnFZrMZupB5xowZePHFFxXL6urqUFxcHKXIem3fvh2XXnopDh8+jBEjRijWvfDCC5g3b17AHeNvvfUWrr/+ehw9ehSFhYUAgOrqaixatAgnTpyA3W7HokWLsH79euzZs0fON23aNDQ1NeHtt99WjeXpp5/GAw88AIfDAbvdDgD45S9/iddffx2fffaZah7/7e0rlLFlTqVOREREREREFEUWq/uOcSEzCbaOPHRnHEFn55GIyhQEIeQ7yJ3dXfLrrKwsDooTEREREVG/4XQ68fDDD8el7vvvv18e4NVTVVWFAwcOYNy4caisrAQA5Ofnq6adPXs21qxZo1tea6vxx3OdOXMGgiAgOzvbcJ7a2lqMHz9eHhQHgIqKCsyZMwd79+7FRRddhNraWpSXlyvyVVRUYN68ebrlXnXVVYo+q6iowKOPPorTp08jJyfHcIyh4sA4ERERERERURTJA+MZNthODwYAdHR8HfM4JFGUXwuemIiIiIiIiCg2srKyYLfbkZaWhqKiIt20lZWVWLBggSn1dnZ2YtGiRfjxj38c0mzdDodDMSgOQH7vcDh00zQ3N6OjowOpqamq5ZaUlGiWy4FxIiIiIiIioj5KECzuf1MssHW77wboaK6PeRyiyyW/9j73nIiIiIiIqD+w2Wy4//7741a32QoKClBQUBBxOU6nEzfddBMkScLTTz9tQmR9GwfGiYiIiIiIiKLIe8e4JLmQknwWAKCj7auYx6EcGLfEvH4iIiIiIqJoEQTB0HTmfYUZU6l7B8UPHz6MTZs2hXS3OAAUFRVh27ZtimUNDQ3yOu+/3mW+aTIzM1XvFtfL41tutHBgnIiIiIiIiCiK5IFxUUTqoOEAgM7uYzGPQ55KXRAg+A2Md3TUo6X1U7S3H0JH+yF0dZ8AIAUrMYwoBI3XgOD7PuD56drPUzeeL5T61MsQ/OMQDJYfkE/zTZB8RuvzYzSfTjr9ftB8EyRflNtjsL7AmoztU4ExGs1nvD7d9ujmCyeuUNqjFWPi1KebTmcfDi2f0fr8V5mxH/XB9oRUn0YZph0jCdIe3XwmtceE/hMMfk/q5zPel4bri/Znpt/7wLi06guzPbr5Quk/rXTm1KffHiIKxm63w+Vz0bKWSKdS9w6Kf/7553j33XcxePDgkMsoKyvDihUrcPz4cfnu9ZqaGmRmZqK0tFRO8+abbyry1dTUoKysTLfcBx54AE6nU77bvqamBqNGjYrqNOoAB8YHnMMdXdjT2iG/1/9a9P2yU0/jT5Ff8aNOrx7fPBr169YTPJaA8jTao1+Pejy6fyYYbY+BeLRiCRaPWh168ej1reb+YTCPZlkG26NfT+jtMZRfZ983sn0M//TU2Ff069GLLbT2BO6T/IFLREREZBbvILTociE99xxABJw4CVHshsUSuzsaRNF98sV/GvXGxi3YuevWmMVBRERERP2UZORMdeA6/YsatPNB4xxo4BK/tZJWunBjCeNiC9VrTCMs0/+1JIVZpk75AXH7boMQtp3ONjBapmApQFrebLS1AD1dwWbEMvl8t+41wup1WYQUpGUNR3FxMbZu3YpDhw4hIyMDubm5qjN6RTKVutPpxA9+8AN8/PHHWLduHVwul/xM8NzcXPnO+vr6ejQ2NqK+vh4ulwu7du0CAJx77rnIyMjAlClTUFpailtvvRWPPfYYHA4HlixZgrlz5yI5ORmA+8721atXY+HChbjjjjuwadMmvPzyy1i/fr0cz+rVq/Haa69h48aNAICbb74ZDz74IGbOnIlFixZhz549qKqqwsqVK8Nqbyg4MD7AvH+6FQv2x37KPiLqH/QH07XSRXZRSMC7EC8kCcxj8CIXzYtuQr8oRLM/DObRiyv+F7mE3h7tizUM/hw38aKQwHrU26OXR7HcxItcdPNr7p/+74O3x+xjWSuegPaEdSwbO3614op03w/nWNYsy5SLwjTi0Uhk9r6v1Z7wjhf/PLE5ljXzh3FBpOFj2dDx4rfOQDxmfPdp7S9mHsuJcYGnRllRPJYbnO4B6YOtHSg+eyiEozZIVie6uhxITR2hUZP5JJf7jnH/ky5Hj7wCALA7C5Haej5srQVIassG4EmnddInYLnBO8wV5+ckz/9LvdkDOl/SLlqQlOm03gn+BejF6rNO0FgOT8xadOLSTqfbAp24/NNq1ycF9INW+QbT+b2XdOMKr76Afg4pNq18ksqr0OIKyCn4rglhfzO6r/jvHTr7ptF9WLcfDLddux90j5lo7yum7CdBjvNwj0lT9hXtPMb72fi20yxfNy7j9ZnyeaoTl+5xHm59puwr4R6T4ewngfnC3ld06tN8F+b3in9cxvs53D6iiBk+ZpXM2CohlaH3xyH1GRaLE6lCDyTBCTHWN3qFU53ozrRgwQJMnz4dpaWl6OjoQF1dHYqLi00N78iRI3jjjTcAABMmTFCse/fddzF58mQAwLJly/Diiy/K6y666CJFGqvVinXr1mHOnDkoKytDeno6pk+fjsrKSjlPSUkJ1q9fj3vvvRdVVVUYNmwYnn32WVRUVMhpTp48iYMHD8rvs7KysGHDBsydOxcTJ05EXl4eli1bhlmzZpnaD2oESZIS6pugubkZWVlZOHPmTMhz3VNw/zh5Bk/VHwfguVjIh6Tx40vxOiBP8Pz+30iaZfvmN5xHLzb1XTvS9hiPTbs9hvJHcfso0sRp+2j92NfKE/gTOfj2CeHPSyIiIiKiqJny3mu48LMd+Oel5ci++nrceWQ6utMdmDD+Txicf0XM4mhqcOCPP78TtpRU/PxF92C4y9WF99+7BC6hDcO3PYC0pvNiFg/1UUZOAupdeWOkjGD5oX2hkWkxhFGGofOxMeiboEVGo2+CNd5IFSGWYWx9aG0LDCH2faOeRvtCLENlGNk5I9z3wtr/o9A3Ia42qW9CLyPoNoxB38TmuIy8fwNmNQzrsyCgUNXF8vlGvwv4Al/7x+V7nlKvDP8YtMuXIKnsF/5p/coQdOrz5lMtw+e9EORiEiMD34Kge+GPEOwiJ42+NX5Bkso7Axf/CILexRcGyhC8azS2j07d/nV4yxB813mDDOlCI7X+U9vmoe033guMJa3t40/1YqLAOIKW43usCUAPrGi2F2LkiGFISQ5nJq5YjBj47PuWJNhSOe4Zrs7OTtTV1aGkpAQpKSmKdaGMLfOO8QGmIi8LFXlZ8Q6DKKH4Xh+k+9NBY9Dd/4eDsTz+9agn1M/jW0/wCw2Mx6bz4zSM9hjP41uP9jbRzqNVj7nbR+tCl7htHwNtCKjHQDyBedRj0N0+hmLz2z4mtkeRRjc2g9snwvZoxROr7RMQSpy3j/F9RyO/9qGg/dovk5H9RSsW/Xq06zDaHmP1GPz+0ozNWHu09hX/Moz3gVZskX72D5zto1geze1j6me/zvYx8NkSEIOBz1f9egxunzDao3bM5HhO0lhEEf/u6IStKx/d6Q60nzoU04Fx0fMcO4u1947xUw2b4RLakNSZg4KJVyNlZDYs6TZYUqzaJ7M1T9L6vVF/aThP0Hrl5cHPgIc8MJIIA3BhxRH5IB4fq0REREREfUFnZyfa6+pgT8uE3W+glEgLB8aJaMDTm/5VmTDkFURERERE2PhJLnb9G7BIIhzdPYBwFoBP0H76cEzjkDzPGBd8njF+9MBrAIDM5suQdVMxBAt/2xIREREREVH/FOxp9EREREREREQUAYtnINp7D0NT6rkAgI62r2IahygqnzHe4+zE6e73AQBFw7/NQXEiIiIiIiLq1zgwTkRERERERBRFgmcgOtsz8HwybSQAoNN5LKZx9E6l7h6od+xaDzGpA0ldOSi4+JsxjYWIiIiIiIgo1jgwTkRERERERBRF3oHoTM9f4KfSiwAA3XDENA7J5Z1K3QJJkuD4ah0AINd2NazJtpjGQkRERERERBRrHBgnIiIiIiIiiiJ5YNzqvmO8ISUXAOC0NcLV3RWzOOSp1K1WdH55Ai3p2wEAZ429MWYxEBEREREREcVLUrwDICIiIoonSZK8L3qXwbvML41nQe9btTx+ef2XK156yzOSp/e177qA5SptCtYevXVG2hqsPerrJGUSnbaqbaOAdCG01b9NQbedb1oDbQ0sT72tkkn9r7XfKLvLeP9rxpuA+1qkbY3Zvmb0mNGJV7f/A2JWi0H5Rm3/U68neFnKNBrlwq9c1c9EY2Vpp/Hbbpr1BfalXlkBqTXTaffpqSP1AIDuI18BFwBHJDsgWgGLC46X/oVkS1FveVJvuZLPa3m5pLHcN723frF335Mk4GTzYffiM07Uv/UyxNIO2MQ85BRdqtonRERERERERP0JB8YHmIYvv8DBHVsDlmucG/Ku1VisnUl7lYGTUAYL0w85jHo0iwq1/WH0i15fava/VlF6bdTql9DjCm9bai2O/j7mzhNaX4ZXlsZJVJ2T2gHL/U+I+5WrPmCgFZvOyXmNeoPFpRVbaCeZQzhhH0rbNE9OB56o1lqvO7jiH49aGUH6KbAdKsvUyggYQFLpn5AGXtTzRDKApNrecAaQNPKEMlhmaLCSiIgoxsSTDQCA+s5u2F356LY4UJddCYsrFZAEAAIECO7X/u89/yreQ4Dgs04tjeCTtklyAgBc1jM4MexVAEBB/rUQBE4mR0RERERERP0fB8YHmIa6L1D7v3+OdxhERERkNsE9Pa8AwfPed5X3jeCbNDCP70r5H0GZVk4q+GTRz+OTqTeXXJ5P3f7v5fj8Y1OL2z+/eluV8anniXq8YW8bjXUB28a3vCDbRvHSvzxlW5XlqbdVLU/gugjiNXnbBGx737rN3pf8+lmzrYr4AoIKbJsPtTb75FaJyXeNWqz+b3TSqX0m+FWu+lkTEId/dcHTmdVuv2T+b4Km0W4fULdrBw5+tBV2z7Tphzu6kJl/IU42OdCV+ZVKq6KjFWkARkJMbkVX5mEAwJDi78asfiIiIiIiIqJ44sD4ADP4rBG4cMpU1XV656P8Txj15tE7iaW1WGuFdlnaq4ydRFMu1m1oaHm06tAvLLQ6dErUzGJmWTqt0e4XvdpD7Mswtpf+vhRaeUZP1CoWa6RRO/ke7ORrKCdeQzs5HcLJ61BOSBs4GR0wOKFbRyj9EGy99uBEQL3B+kEjdt2BLP86ImibeYNhftvTtMEwv7r1BsOCtkklXr91xgaX/Ac+AvtDa13iDmaG8flIRERx0dXejoMfbUWqIAGSiHbRgsLRKzC0/UZIYg/c85qIgNT7LyBBkkTFOuUyd1nefzWXSRIA97IG53EcxA4kp+SjuHgq0lKLkZX1H/HrGCIiIiIiIqIY4sD4AHPW6FKcNbo03mEQERERERENGBaLe6rytLR0DGptRsugbBxx2jEx75qYxiE1bgewAykpRTjn7HtjWjcREREREREBkydPxoQJE7Bq1aqo1eF0OrFkyRK8+eab+PLLL5GVlYXy8nL85je/wdChQwPSd3V1YdKkSfj3v/+NnTt3YsKECfK63bt3Y+7cudi+fTvy8/Nxzz33YOHChYr8r7zyCpYuXYpDhw7hvPPOw6OPPorrrrtON8b33nsP8+fPx969ezF8+HAsWbIEM2bMMKP5uvggMSIiIiIiIqIoslitAIDk9HRkt5wGABzu7I55HKIoeuLhqQAiIiIiIqL+qr29HR9//DGWLl2Kjz/+GK+++ir279+P73znO6rpFy5cqDpg3tzcjClTpmDkyJHYsWMHfvvb32L58uV45pln5DRbtmzBj3/8Y8ycORM7d+7EDTfcgBtuuAF79uzRjK+urg5Tp07F1VdfjV27dmHevHm488478Y9//CPyxgfBO8aJiIiIiIiIokjw3DFuT01DVnMjvhpagvqOrpjHIblcAHoH6omIiIiIiPoLSZIgih1xqdtiSTX02MMZM2Zg8+bN2Lx5M6qqqgC4B4mLi4tNjScrKws1NTWKZatXr8all16K+vp6jBgxQl7+1ltvYcOGDfjb3/6Gt956S5Fn7dq16O7uxnPPPQe73Y6xY8di165deOKJJzBr1iwAQFVVFa699lrcd999AICHHnoINTU1WL16Naqrq1Xjq66uRklJCR5//HEAwJgxY/DBBx9g5cqVqKioMK0f1HBgnIiIiIiIiCiK5DvGU9OQ1ey5YzwOA+PeO8a9A/VERERERET9hSh24L3N4+NS9+RvfAKrNS1ouqqqKhw4cADjxo1DZWUlACA/P1817ezZs7FmzRrd8lpbWw3HeObMGQiCgOzsbHlZQ0MD7rrrLrz++utISwuMv7a2FldddRXsdru8rKKiAo8++ihOnz6NnJwc1NbWYv78+Yp8FRUVeP311zVjqa2tRXl5eUCeefPmGW5PuDgwTkRERERERBRFgsU9MG6125Hb1gIAONhs/ASGWUTRc8e4JfCOcUeXE1vPtGLHmXbsaG5DfWc3RAmQIAEAJAmQ4P1Pkt/7871HwnvDhOCzVFBJq3VjhTefWpmK/Cp5lPWrx6deZmCswevXaJ9K/Yp6ve1TKdNY/Sr9g8A3mv2jWqZa/YF9qhWfXpxaecLpU0VditcG+1Rzvf4+p5fHN63WNumtX/+YUNQV4T4XSv+olxlk+wWtXyVWE/c5tVjD6VPfes38zFHU6xenVqwhHR9B90/fsvT7R/340N/+atsyrGNSJU7NOhVpteNU5I9wn1PUqRKrmX0aj88c7W0azjHhmzacY9J4/4Tzmaio1y9OrVi16w+y/VW3pUr7TDw+1LZl+MdHGNvfwN2yRANdVlYW7HY70tLSUFRUpJu2srISCxYsMKXezs5OLFq0CD/+8Y+RmZkJwH2H/YwZMzB79mxcfPHFOHToUEA+h8OBkpISxbLCwkJ5XU5ODhwOh7zMN43D4dCMRytPc3MzOjo6kJqaGk4zDeHAOBEREREREVEUWTx3aEuiiOL0ZADA4fbEmUp9a1Mrvr/rC7jURrqJiIiIiMIk+FxKGfRiF5X1QS9QCTOtWfGpr/f5US2prQ8hv1b9chL1+CX5td96v6IF/yABCIq3geUr02qtl5TLFP2g0T4pcLkA9+Ctb1m+MRdYBNydnwGppQ2WLickScKQC2tVy/ePLTDmyHx+phuC4NRNkyIAI7OzDJdZUFCAgoKCSEOD0+nETTfdBEmS8PTTT8vLn3zySbS0tGDx4sUR19GXcGCciIiIiIiIKIq8A9GSKGJU/mAAwHFJQLcowh7Dac21plL/i6MRLgkYkWzDFSkWjHJ24KyuVli8J6ckCQI8J7Gk3pNZ8kktzz+iJPW+UVkm+p7r8kkm35Xuc5JKrtrn1J7kuwLwuWtd0kzrTa08vyd50vaeaPNNI/lGon5eU87nu0xUSSwpQ+6NT4D6Xfc+5fqvk+Pr7Rxl+wQ5gW773LEq6/NfryhXTiP4bKuAkAPWuNsgBNYjL1L2lyR4T3MG7gcBMcnrfevzPbWp0Y8+fSPHIve5e6NIijOkvf2otT0C4vONWVC8AeC3n6jl99+PVcpVxu+fXydGSVLc7ue7n0uBmwoqm0+3fL31qsei3nvJXb/eekluiwS1U/u+e4ekcupbPa1G/0Ol31Tyq2/d3m0lKULWidk3rUYcodWvNvShUq/GcIVcvkqfB5ahjFWxXPBdH7hQLa1/mwPqEXx2lBDK7+1frfpV9hm1ZcpbrAOXqy0LUqZv/cr2+n1+aS7rXa62TCu+oOUHi0/t8yVIfOH2j9FtobV9VIcD1eJXbZNP/mD9J/DxNcE+P+Mvyne5R6t43pwPAOiwSHAKFnQLFgiC1d0vlox4h6VJcukPnPszYyp176D44cOHsWnTJvlucQDYtGkTamtrkZycrMhz8cUX45ZbbsGLL76IoqIiNDQ0KNZ733vveNdKo3dHvFaezMzMqN4tDnBgfMBp6+rBmY7eg89/yiHVqVMUywS/fD7r1KbH8StfUZaBMlSnp1H50FedOinUGDnVCxERERERRYHgGRgXXS6cO3w4bM5uOG12fN3pxNlpyUFym0dUuWPcKUp4s+E0AKDslWoMO1qHNgAHYhYVJQpB4zUREQ0wium6A08WK8+hBp6L1S9D5Ryx2nr/8uTzwuoD3VplQOVcsLIO9W88ofeEsVp1qnUo4lCsDuwv77UxygF4b6yCe2Bd6E0vCH73/XoH/n0G3nvP5QvyhQO+dSuue/Lkc9ejdrLd0pvHZ5sJcvy9MXjrkDyJJN8+9znJ33v9ikUuz7f98nrfmH3bp3qxg8+FB5bedgo+/dzbPsGnzwO3nyR4+z6wP+T+V7RDkcDnYhP1wQu1iy3UXvvGJ/j0vbddksq+CUFQ3Q8loffIUObz2U/V+kcQ3HX5NlSOz3eMxi8W/2U+A0xyu9Tar8inqDQgTskTp/d1WlISsjIKkCc6YRO1f816L+fq3c+U11SpXcyjSzOZfn6b3T0ka7fb4fL8baYn0qnUvYPin3/+Od59910MHjxYsf73v/89fv3rX8vvjx49ioqKCvz1r3/FpEmTAABlZWV44IEH4HQ6YbPZAAA1NTUYNWoUcnJy5DQbN25UPB+8pqYGZWVlmrGVlZXhzTffVCwLlscsHBgfYN7491EsfvWTeIfRZ4Q7eK92MWLYg/eqZWmXofqsGdUfkpHH6J/GaBmqz+7Raaeybu3y1eJT3U5G2hmsjBBj9N81gl30oXfRSm8a7Rh19ylFeXrbKbQYg+6rIcYInT4wEmOo+71qGSoxKkoNNUbd4zvyY9P/D76g21AnRv96IolRWZ5ejIExhH5s6m3DwBhVdl/9GM34DDIQo/6xGeJnXIjHZrAY/Y/NoDEaaGfQ/SCgrGD7mXo7gpURlxhD/K4L/fPDWPnydg1hfwvlokUjsel9FhH1dd6p1EXRhcLiEmTtPoyTg4twuKMrpgPjksozxrc0teKMKCGtoxXDjh2GPTUNmfkFSMvK7j1OBSHgdwZ812kuE1Q+T1U+EOD7vaXyoa1Mqlyu+hvNeBlaJ/eh+Zmk8tmnqMN4Gcp2IHC9fz7Vz+/gZai3VSM2tf7S7G+Nun22f7DYQmufxndDDPYHre0d2v6gVp5+X2imUTt2AuqIrC8004S5P2gdG8H6K5R9R1FGyO1T6dsYtE/5MoT2+dYdg2NDmT6EzznfIkLqi94yQjo2fBaH+lmi1R/B1ps6cJwo+w4RUR/R2dmJuro65GVmIiUlJd7hGFZcXIytW7fi0KFDyMjIQG5urvw3o69IplJ3Op34wQ9+gI8//hjr1q2Dy+WSn/mdm5sLu92OESNGKPJkZLjvtj/nnHMwbNgwAMDNN9+MBx98EDNnzsSiRYuwZ88eVFVVYeXKlXK+X/ziF/jGN76Bxx9/HFOnTsVf/vIXfPTRR3jmmWfkNIsXL8aRI0fwpz/9CYD7bvjVq1dj4cKFuOOOO7Bp0ya8/PLLWL9+fVjtDQUHxgcYqyDAnuRz+RTQOxWa2hRlatPKJeacJ1GhnBLOb6F6jihGQ0RERDQwqYwDaA6sG7kwzciFHWrnXQPSqJx31Bvw9x9AUUujdWGK7gVaZrdLrQ7dCyE0toWBdqmdiNdru+a2VN0W2rFH1C4DafxPgmccq8MwAJ87mlHgzER2y2mcHFyEzxubcPXgTMSK2lTqr37lPjlybt2nuKXyUQw9f0zM4iEiIiIiIhpoFixYgOnTp6O0tBQdHR2oq6tDcXGxqXUcOXIEb7zxBgBgwoQJinXvvvsuJk+ebKicrKwsbNiwAXPnzsXEiRORl5eHZcuWYdasWXKayy+/HC+99BKWLFmC+++/H+eddx5ef/11jBs3Tk5z7Ngx1NfXy+9LSkqwfv163HvvvaiqqsKwYcPw7LPPoqKiIvxGG8SB8QHmpkuG46ZLhptervx8NZ3BdfVnkKk/OyywrPDKhwllSAjMoHaRgKHy1Z4JplOGMh6ddurWHSRGnQsk4hKjXxlqdatsEt19KliMuheJGChD9ZmBJsTon8ZojKrPETS8rxqLEXrbSfd4CozRP41ajKF/fgTrY+0yJP8F0GhniDEGfn6EFqP6sakdY/D9zD+nT7oQy9A/NvViDGxL6MemdozGj83QYlSUGmGM5nxPBS40ss+qlRHqsRksRpVdw9DnvFqM/vmNlmF4vzdavoF2RhKj/34fToz9UWgXK/bzzqA+qaStGcMANLV14bF3vkRheje+ALD/5CngvBHBsptG8ptKvUeU8NaJJsBqwxU9rRwUJyIiIiIiirLzzz8ftbW1Ua2juLhY9TxfOHkuuOACvP/++7p5f/jDH+KHP/yh5voXXnghYNnkyZOxc+fOkGI0AwfGyRRqd834rI1pLERERETkM4gf8gUhehfkqKcxdPGDgYsDDF3wo9oe7dgDLt4wu10GLtCJ9OLEqMUVi/4ODCewPWG0y8gFfsH2/cA0ocdl7GIWoPNL4PTrgEUSUXeyFRW5dgBAXUsbYkl+xrjnjvEPjp9Cs9WGlM52TLvi8pjGQkRERERERBRrHBgnIiIiIuqHeOEiUeI4lHwCf3sdsEBCp1NEYZp7+vSve8SYxtE7lbr7jvH/75NPgaRBGNtwGOdX/CimsRARERERERHFWuDT3ImIiIiIiIjINIJn6vJk9z/ITM0BADQkJYc8vV0kJM/AuMVqgbOnB5ud7lMC3xtWoHjuOBEREREREVF/xL98iYiIiIiIiKLIO3W5d2A8KTkLANBlS8aJ1vao1y9JEiRRhKvH6V4gCHit9kO0pqYjubsTP+Y06kRERERERDQAcCp1IiIiIiIioijy3jFu81yafrxdQIalFa1pGZjxyutI7+6EIImAKAGQIEgSIEnuZZL7vfzakwaiKKeD1PtaEEV5fW9eCQIkFJw4igIAmz/6CP+05gJnj0WZ2IH01NQ49QwRERERERFR7ER9YPw3v/kNFi9ejF/84hdYtWpVtKsjIiIiIiIiSigWzzO9bYL7fd3JVgzL68ZnAD4uGRuzOK7cWoOCxgZ8OeJ8fH62u95bSs+PWf1ERERERERE8RTVgfHt27fjf/7nf3DBBRdEsxoiIiIiIiKihOWdSt0quJ8nfuhUO/7f9y/B//f5YfRIEtz3cwMiAAiC+18AEgSIgs9rAJ77xT1pBEiC+6ZxeZ3gKUsCILj/9aY5y3PL+tBkOy7PTMW56an41vChMegBIiIiIiIioviL2sB4a2srbrnlFvzhD3/Ar3/9a810XV1d6Orqkt83NzdHKyQiIiIiIiKimPNOpW6Fe2C8vrEd52Wk45GLx8U0jvf2fYAdAL47NA9XTRwV07qJiIiIiIiI4i1qA+Nz587F1KlTUV5erjsw/sgjj+DBBx+MVhjkR5IkSJL8xn1aRn4PSO7/g7xYcufpLaA3ORRlef+RPHmUdSry+1TqXSWnkd/3ZpAk+FTam1bSiLt3nU86rfx+cSvye/vHtzMiIEWWPdLqI80ecQMirt+HoHgjaCxXTeK3wkCZihVaxQQWpJVP0FyhWr1iRbixaOWNeiwaiYKWGWLfKRYb6AvtvMH3Jd2YNPcnvzxaCQ3sj3pla25PIhqwfH9f+f5+8yxS/AZ0/6OW3q8sRXq/Mn2/7FV+Y/n/lFAt0/83oEZ7/KpWptepR+u3qzK9fpmSX2ABv0lVY+hN6N+3avVI0EmvUo9vGv/4VLe/1rbyfa/TZtUYFGUGxi75NUQ1Bq2+1YhdtcxQtz+UefTSq8Xu+7eVnEIlhramowCAnk4nUpIs6OwR8VVjO87Oz0AsSS4XAMDiGagnIiIiIiIiGkiiMjD+l7/8BR9//DG2b98eNO3ixYsxf/58+X1zczOGDx8ejbAIwL4PjuK9tfvjHQYREcWSkYtANNIH5jdwMYD/AiMXsATkD+1CDN3YNPMbvOhAL08EF6wYjU2vb8O5IEJtMFLjre5FUWqDWr1vgxWsU4XvoFRAYp23QS7gSvh41d6qDd5pDUqrBkBEiUJ0nQIAOLucyBUtOAoRdSfbYj4wLorugXHBM7U7ERERERER0UBi+sD4V199hV/84heoqalBSkpK0PTJyclITk42OwxKJILnHL7n5L3g/T/vnbWeBIJPegiC4r03v/+doUJvIQF3fsr1IEh+/zt8/eIUjAzOxEqEAcQ7fjPq1xr3ULujyHhe9UEiIwMuundcBRSilU9jUMWEWIzEY1osmmkMxKJ2g52BWMggA9vPeLdyAxCRCQTFPwG//ZRpBJX02vkUvztVLvQR/ApTmz0k2mX6X9Siml71QhrteiItU23mFtUy/TpHGYNffYqk6vUIioWBscsxKNJrxKD4m0I79oDt5Vum2vbyL1NtvwiSvrPFjk9qAEDCoE4JsAN1J9sQa5LofjK5xaJ/x3hTeze+ON4Kp0uCS5TgFEW4XBJ6RPd7l89vCL+uk/vXr7t8NonWer++9E2jt+1U8gaLxX9f0IzFd18Msx1asQS00b88/zar1hWlWILkU6vLcJ9qlRnQbv18htoRaizx/oOZiIiIiAaEyZMnY8KECVi1alXU6nA6nViyZAnefPNNfPnll8jKykJ5eTl+85vfYOjQoQCA9957D1dffbVq/m3btuGSSy4BAOzevRtz587F9u3bkZ+fj3vuuQcLFy5UpH/llVewdOlSHDp0COeddx4effRRXHfddboxvvfee5g/fz727t2L4cOHY8mSJZgxY0bkjQ/C9IHxHTt24Pjx4/iP//gPeZnL5cI///lPrF69Gl1dXbBy2ra4GXVZEc65qEBxtsF9ksjnD0P/E1GKkztQnJyUX/oPZPMPSiKKsVAvcNAcbDd4UYHm4L/eXatG4tIbdzYQm271mleH6OUPHpvaFLvq6QyWa7QerbJDuDAkpNjC6FvDdykb6jPlAu0LRiQohxWCvDV6F7xqOSojBgbKCfo7wf93ik4Q/Tpe1YvzfC70M5Led3BAq81qg9K+ZaoMfvgPZAQbKPSPj2igaWrIxCc1gCBIyBHdx8KXcRgYF3WmUj/d1o0N+xxY/4kDW744iR6RF8PRwBbOIH3gRRvK9UEvCNFaHyyfIh6tPMZi8S8v5DbotSNILAiWPkgsvgUF1tVbtlYchrefTvzabdVfr7bdDF84Y7i/9fa5EPcbld+mEe9remVFELfWfmI83sC4DecJYR8PdtyHE3fI+4iBuEPtN7V92z+GyPdtlToM7oehxB2Ni98i6bdgMWgdP8E/SwPXG60fAW0MzBd2v+nEwL81iQK1t7fj448/xtKlS3HhhRfi9OnT+MUvfoHvfOc7+OijjwAAl19+OY4dO6bIt3TpUmzcuBEXX3wxAPcs31OmTEF5eTmqq6vxySef4I477kB2djZmzZoFANiyZQt+/OMf45FHHsH111+Pl156CTfccAM+/vhjjBs3TjW+uro6TJ06FbNnz8batWuxceNG3HnnnRgyZAgqKiqi2DNRGBi/5ppr8MknnyiW3X777Rg9ejQWLVrEQfE4S7JZkWTjNiCi/sfQ877BH8pEREQUexZ56nIROS7375FDcRkYd98x7j+V+meOZvzw6Vq0dPXIy87KTkWa3QqrRUCSVUCSxYIkiwCrRYBFcJ/I9V6v5b3Yq/c9FC+01nsvLOt9759ffb1qmRpl+xVlOBb/GY20Y1WPQ1m3wbwB7Qyx30xqg3oZocXSH2jtjxqpoxwNERERGaUYuPe5d0AebPddr5VPI63/mUXNAX6/f+F7YYl/GZGWDe950d7G6tYl+V+EIfVe3KAae5D45N9Bgka6wDL8azNUht97QQDy0iyYWZYF4XgrrLZuSKKETtUpU1UKCVJHqFIEwefCDW9pvrEISLZasGThXGzevBmbN29GVVUVAPcgcXFxcYQRKGVlZaGmpkaxbPXq1bj00ktRX1+PESNGwG63o6ioSF7vdDrxf//3f7jnnnvktqxduxbd3d147rnnYLfbMXbsWOzatQtPPPGEPDBeVVWFa6+9Fvfddx8A4KGHHkJNTQ1Wr16N6upq1fiqq6tRUlKCxx9/HAAwZswYfPDBB1i5cmXfGxgfNGhQwBUA6enpGDx4sOaVAURERERERET9lWD1DkRLyBXdr+MzlbrnjnG/gfEXtxxGS1cPRg5Ow00XD8e3xhXF/Pnn1D/JA+cRDNIHWx90kD7sCzQkv/z6sQSUp9GGcGLRvkhCo7ww+1PtwpJQYpEkyb1ckiBCAiTPckiQRL90nszePL7vAUD0/uuZvcKdX4Iot9FTPnrrcL/pzSt538M3rbc8ZT1qaeWyfMrvjVXqrVtSiU2xPSSN1z5x+8UiKV73bq2AC2G8/a22DX3boegDjTh92ghIEH0K9N03vX0lwactfttP7Xjw7TdvIjkffPYD31h8Y0BvbJBU6pDf+/aFFFCGb7y+6QLz+qzzjcGvHkUJkn9e37Tq6QLr6y3cUFmKfBrxa9QbULbPC98ZztTiMFam5Pfevw71ONzvA+vXjCHIskjfA4Ak6KeR/JaYGqcQhTIN1tlXBRyn/geJxtsQVlKCOAtWdIuZ6BJFCC4RHaKI7x6sj0ss/3fOCKT6/Z3lzyVKqKqqwoEDBzBu3DhUVlYCAPLz81XTz549G2vWrNEts7W11XCMZ86cgSAIyM7OVl3/xhtv4NSpU7j99tvlZbW1tbjqqqtgt9vlZRUVFXj00Udx+vRp5OTkoLa2FvPnz1eUVVFRgddff10zltraWpSXlwfkmTdvnuH2hMv0gXEiIiIiIiIi6uV9prckifJU6sfOdKK9uwdp9tj9WS56nzHuM5Nbj0vE23vc0+etuGE8rjwvL2bxRMp3EE4eJ/CezPeccJd8RovkQRmfk6T+A1a9y90v5AEqOU3vcsUgkF/d3mXKvOppA9rgV75W2+BTvmrb4DsYKSmWq9WraJtK/0DRV560fuUHtk253Ld81f7xaZu3fLltav3g3wa/tP79o+g7n/jV+sH7OmCgW6d8//7xL0Otn71tUPSJTp8p6/Frn+o2UO8jRVq/QdaAtJ7X8vZS6WsyRkCfH2+iAEa3KLf8gBEwNbnfo6t8715Wm8bcd6pw3/V+078r6/IpS3kbccRlyd8RfmVJ0J69EYLgWR9YPiDIFxoIgqdsv3gD8ni/9/zi9n5Vut9L8N53LBejmOFIGW9AOt/8ymq1bzGHN37N26F91ve2VRCUX52CILjjVLktWvUrVmN5QLxQLui9wEOZWwpoF+R+kCAp2t27vDcOAVDE39tawZNfI05vXN4lqv2mklPoLT/VLiEzyYpcexJsNhs6RBHxkp9iUwyMq20je5IFWVmpsNvtSEtLU9ytraayshILFiwwJb7Ozk4sWrQIP/7xj5GZmama5o9//CMqKiowbNgweZnD4UBJSYkiXWFhobwuJycHDodDXuabxuFwaMajlae5uRkdHR1ITU0NqX2hiMlf4O+9914sqiEiIiIiIiJKOPLU5ZKEgsGpSO3uRIcFOHSyHaVD1U9KRIP3GeO+U6nXfnkKp9udyE5JQubRTvxr9xdoamhH+5kueZDOdzBO+dp/XeBAnP+gn++AHQBIovYgnOrAo2c5EQ0QAnqfa+wZUPIO2vQuE3rHkgRBMdAhp/UZ1JCflxskrSAIcv1AYBnyMsV7vbSe12ppPY0RBJ8yoVwOn7i9/8gx6qTtfa/eb/Iyi9CbB371+eRT1umT1ieTAECw9I6Q+Pe3Iq1PH2tuB5+6/fte0d9+6XuX9S5QbnNFApX1amWFktYnRkBlfW8QvusVZfmuVylLUGb0Wy8o+qZ3vU9ajbYp1wf2c1TKUutbKI9TtfITYzv4NoiIYqWzsxN1dXXIz01DSkoKJEnCwbzxcYklzWIx/bOgoKAABQUFEZfjdDpx0003QZIkPP3006ppvv76a/zjH//Ayy+/HHF9iY53jBMRERERERFFke8d2medm4mcPWfQYRFRd7ItpgPjksod4+t3u+8WH3lGwvt/PhCzWBKS/0CPJchAktFBNW+ZfmkF7/UJfmV6FukOInnL1xyo8yk/ksE39bb0lq8YIJDz+sSpM8Dm3z+KgTcInv737x9lPygH0zRi9h9w8et/5aBbYP/4NFE5eCIgsA2q/aC+XLGd5fpV+kFlm/gPQOrtX1rtg0+d6gOQyrTeQU7Fcr98vn2i1j7FdvHtT992+PYFERERUQgEQUC6z986fZ0ZU6l7B8UPHz6MTZs2ad4t/vzzz2Pw4MH4zne+o1heVFSEhoYGxTLve+8d71pp9O6I18qTmZkZ1bvFAQ6MDzw71wDr/9vzRvGXis9rzzr/y/Hkv0nU1mmUEVL5ir/iIi8/Ydvm98dd1Mr3XxdC+abVrZHO1LaptDMmbfMtAzrrzGxbkG1qavkJVrdqH5tZvl788ao7hDJU1wWpK6TPpXDKMhAXT3YREdEA4ftM76JzByFnt4CjAOpOGn8enBlE0XvHuPtkkdMl4u097untRjmtKCjORFFJJrIL0zAoNwWCxTsIJ8iDlILgHXDzrJMHy1QGYn3SuRcAvoOmxgfsNAbhfAau3cvd/yf45JdX+9Qt/+Ndz98kREREREQUI3a7HS7PbF56Ip1K3Tso/vnnn+Pdd9/F4MGDVdNJkoTnn38et912G2w2m2JdWVkZHnjgATidTnldTU0NRo0ahZycHDnNxo0bFc8Hr6mpQVlZmWZsZWVlePPNNxXLguUxCwfGBxqxB+jpjHcUREREKkwacFfNr1FH0LJCuSjAp46Iy9KLUa+OSMpVK8tguUHL0otRp46QywoWY7TKjaDvIu5H+LyOdj9CI7+gnNXY9xms3rTyg1m9r71lSMo88H02WWC+gGeMyQ+M84lB8nkGms/6gHzydM4+/Sj1/ivJ+Xwf7IrefL5t8G2z5FcWJEUSSJ52eYv2e26u73J33/Y+z1URnJzPpzz4lCkp3/c2XZLb3/tgvd7psOV+lvzb5fPQuN75sX2muvb2heSTp7cdijw+cUiSb10+02v7xij1lqu6XG6Db9vk+bwDl0Ntvc8yn85TX+cfi6T4T4JvHe5/XT7Puhvk2Iscl3tg+mBDjAfGPSdfvAP1Ww6eQlOHE2kicF5KMr47bwLsKTxNQEREREREFC3FxcXYunUrDh06hIyMDOTm5ioupvaKZCp1p9OJH/zgB/j444+xbt06uFwu+Znfubm5sNvtctpNmzahrq4Od955Z0A5N998Mx588EHMnDkTixYtwp49e1BVVYWVK1fKaX7xi1/gG9/4Bh5//HFMnToVf/nLX/DRRx/hmWeekdMsXrwYR44cwZ/+9CcA7rvhV69ejYULF+KOO+7Apk2b8PLLL2P9+vVhtTcU/It3oBn3A+Cca6A8wed3ss/3hJaX6rogZRgqX20dVNaFWH4869YtX2tdtMuPV91afWdW/KFsG6100awbveui2jbfMlTaakb5muu00kWjbUb7NdLyfddBZ10it81AXQnJb19O5FCJSEEIcTmRqdR+lgC9O6DPRQOKrxbJPyECv5ID3qilEdS/s3yW9UgC0HY5AMDy6iIMHfkkIPXgwNFmlYzR4z+V+rpdRwEA5zutuPhbxRwUJyIiIiIiirIFCxZg+vTpKC0tRUdHB+rq6lBcXGxqHUeOHMEbb7wBAJgwYYJi3bvvvovJkyfL7//4xz/i8ssvx+jRowPKycrKwoYNGzB37lxMnDgReXl5WLZsGWbNmiWnufzyy/HSSy9hyZIluP/++3Heeefh9ddfx7hx4+Q0x44dQ319vfy+pKQE69evx7333ouqqioMGzYMzz77LCoqKkzqAW38q3egSc5w/0emkkQRYlsbxJYWuFpaIbY0w9XS4n7f2gapswtSd7f7P6f7X9H7vtvZu66nBxBFQBIhiZ4BIlGEJImA6PNagjudKEK+A0YQPFMcWtx3zVgECIL3tcUzTaBnvcWTVrD0vod3ncVzc5jPOt9yLD75BECwWDzvBfdrCMp8ivqsKmUKPmVolKma1qcNelMf+g8YK1eGlU/SK9P3ziHPIJ+c3v+uIt/1KsvlujTzqKyT8xisKyBf4LqQ61Lk818OnXU6eSTP3VdG86H3de+ddpLiv4DlBvKYUhegH4dinXoexTq15RrrVHbY3pdqh5Hgt1h+E5hPPZ1WWZJmGt2yVOoPOPxVylWmkQym00qj0o8a+ZTtUO9rQWWZejr9PgtelqRMF6QseZEA6PWZ9j4SWHdo+4hvmhD7zi9fQHuNbHtAuc200unuxzrHV9DjprfPA6rQaIuynfrHtnp7lfUHT6NRlpF+8y/LJ25Dx4Qg6G9X334TAjtb0MmnWPT/s3fvgVGVd/7HP2cmmVyAhHAJAUESjaBcBEEX4q8iVEqwcS2rtSItikIpLl4QuQgoVbZW0aWYLgqldguuUkVbaUsQTKG4ukRUFBEVVBxEgXAnIZDrzPn9MZnDzOTM5EImgfB+dbOZec73PM9zzkyGmO/3PCfcua7tfRDYT11+tmXYnjd/bNBnZ7gxq7fb/0pk97kV3GbYxoX/d+NsXnU6dLGEGtttW8Oc/zqrfX9nQEibTgfUo71TOiztOVZ6hmPXj/+KccPpVEWVV2984ru/eL/YePUZekGTzgUAAAAAzkc9evRQQUFBVMdIT0+PnMcIsGLFiojbL7/8cr399tsRY2655RbdcsstYbcvW7asRtvQoUP10Ucf1WmOjYnEOM57pmnKLC+Xp7hY3pISXzK7+IS8JQHfT5yQt/iEPCUn5D1RIs+J4qDv3pKSMEknADibBaQHwuQ/7D/ZaqYVasT5i3H8X/InsgIyFgHbjYB9TLt2uz6Nmv2cbq8eMaQ/X5LJfh9T8hXchNluu59/Cg3Zx3YsVR93aHxAn2H2C2qv4z5WUZVq7hO0LdxYNV4XnS7EUs2xZHuOA8ay26bwfUbax77PMO3WcQT0GbJfjfaAfYL6tPaza1fkPm3bFdRn0Da7/UJfk4j7hdmnerth2LfXeF1C5huuPWyfRvBnQOixc+/fs1xI8ZvV1tBVTcI9DtonGv1G6quO/UboyzBN6YHZkinFtPLqstKvJKXqRJVHx05WKKXV6WXsosl/j3GHw6G3dxxUSaVHiV5p1MiLFetyNskcAABoTMEXI9gVsMu+4Lz6ue9hzf2siwtOD1Szb3/hvAL6CNd/6PjVMaf7CNN/HUT8fbkh2wxDhtMpIyZGiokJflz9XDEx/J4OADgnkRjHOc2srJSnpETek6fkPVniu2q7xPfdU1Iib8nJgCu5/VdwByS5i0/IU1IiVVY2ynyM2Fg52rSRs00b3/ekNnK0ai0jPl6GK1aGyyWHyyXD5ZIRW/3d+or1tTmrr4A2qq/ODr1CuvqKcMO6utt3lbXvitPqq8i9Xuu56a2+2tw0g5/LrI71fZfMgFh/H6b1XKZ5OjbwivbAPsP2o1qvhA/aL/TKeDNgnqYZvJ//eYRfxo1wlwxJDfsPhLpss5INNskNu211SDadTg7UbPeF19JnjWRDQPIiXJLKJmlkn2wKSbycHsBmW4T5hyR5wo4VOv+ISaUI8w9M8gSNpdr7DDq/Ia9XbQksu/nXtl+4faq32yabrJ3C7Wc3liL3aYQksEKOnf8wBoDzTNC/OYjE4YiR11Mlr2mos/vvatNhgk44TI17frNauWLksH4l8f1ba33VeO7rr7qMqsY2/+++/jvUBfwmoY77ihUn6X82uLXJUy5J6uNw6fJruFr8XGHaJGaCEiyB7SExp/MrYZJHdgmgcMmbsDF16D9MTMT+A8cPLUCpT4LJqmUxa8QE9x88xxqrgMmu74Dji9R/6Pi2xxccY7sKmUL7DhnfNsa+/xrjh5yD8P37GoJWEgt8XcL1HxJjhus7cHuE4ws7fo2YCP2H9l3j+Gzmbv3cBYxvc3wRxzcDVhGz6Ttou8341pphYfqu9fgijR90fPUYv8bxhe/b2m43d2v88H2jmVUnzK1EeUyMHPHxMhISqr/HyxGfIEdCvIz4kLbERDnatJYzKSnkb6lJcrZpIyMxkb8vAACigsT4ecZbVibvyZMyPR7fL5CBy3H7H/sToVbS1BOU6LSN8T/2+JOYXqmqSmZVlczKSpmVVTKrKn1LhVdVVT8P01ZeJm9ZucyyMnnLy2SWlfu+l55+bpaVyVtaKrOiovFOjmH4fgFr3VqOpCTfd39yu3Ub3y9rbZJO/9LWuo2cbVrL0SbJ9z0pSY64uMabDwAAAIAWw+FwyOuRTBmKP7BFF3T8hXaoSh/vb7r7jP+4tFydJf1fYbHcrdpLkm7OulDOWIc8RUUq//JLlbvdqnDvVtWhQzZFqgGPAwtdQxMwUUrw1Ja8iTi+XYLHrv/Q8euRPDrTBI+1LVwMAODsYldkHlhMHiYmYrF5uL5rU5d/J+r4b4lpmr6/1Xo81t9tbXk8vpjApjqNUAdO5+m/0bZtK2e7FMWktJOzXTvFtEuRM6WdnO3bKaZddVtKCsl0AECdkBg/zxT99W8q/OUvm3sajc6Ii5OjdWs5WrWSo3UrOVv5H/u+O9u09iW3k6orEFsHJLeTfBWJjsTE6ntkAwAAAEDjMpxOqVLymobikyv1QKcqvbEvXh5Tpy/pdvgS5/7LvE35/h5u+v6CXv29elv1YzNgNRpJ8gb8Pdi0LjE3ZcpQW4dv4+UJicpo3VoXpiTo5pxMnXzvPX036W55T52K3gnAuauByR1JNW+VEfDcNvkTFFO9AkLY8QO214jxh0Tou8bqUo07vlFb3xHH95/fMONbTdV92I0ftIJUPca3dot8y51GGd8upr7jh4kJWtkr0upjtY1fIybM+LbnN2BO4VYPqzFHm/GD5mAzfo1zUI/xa8xBNfu2OwcRY2yOL2iOYcYPiDEM1ey7LnOs8drY9BO6OppNjGG3X/Xj8zHxapqmlQS3LoTyeGRWVkke/8VPHt/FURXl8p4qlVlWKm9pmbxlpdUXOJUFtflW+Ky+TWXgyp4nTvgS8R6PPEVF8hQVqfLbb+s0TyMurjpx3u709w7tFdOho2I6tFdMhw5ytq/+3rYtfwcGgPMUifHzTfUfQlS9DLe1HLfDIWuZ7nCPnQ4Zhj/eCPP4dLxRvYSOYmNkxMRaz41Y/z1p7Nsc8XEy4uJlxMf5ltaJj/MtRR4X51tyJy6+ui1Bztat5GjVSkZsbPOeVwAAAACIwOH0/fHVaxqKa1upPt+tV/ZvftOkc/ifmX/Rwd3SA2P6Kb3/QEmSWVmpwsfmyXvqlGJSUxXXo4dcGRmK7dxZRoxT1m2dAm/xZD323dbJ+sOyTXLHPrETKbnjj1FwAqKByaVIyZ+wt8Sx2mqLiZD8qTVxYwQcbi3JpbAxZ5BcMmpPTJ+PyR8AQE2GYVhLpSvKq2WapimzrEye4hPyniiWp/iEPMePyXP0qKqO+r57jp1+XHX0qDxHj8osL5dZXq6q/ftVtX9/7QM5ndWJ8w6K6dBBMe3bK6ZjdeK8fQfFdPS1OTt0kDM5mSQ6ALQgJMbPM21//GOl3HJLc08DAAAAAM4rhsMpyXdFeFxypUr+8bbMysomLfL1en0LnBpOp9V2bMUKVezaJWdKii5a/Xc5k5KabD4AAACBDMPw3aM8IUHqlFqnfUzTlHnqlKqOBSTLjxxV1dEj8hw+oqrDh1V15Ig8Rw6r6tBheY4flzweVR06pKpDh1Re2wAxMQFXn3fwJc47dFBMh/ZyBj1u77sSncIyADirkRg/z/APMwAAAAA0PUf1lUYeORQTZ8pRWaRTH32kVv/yL002B9PrDZpL1dGjOrToWUlSxylTwifFvV7J9ATdy9v3zQx5HCD0CvHAK7FDH4csgQsAAFBXhmHIaNVKrlatpK5da403KytVdfSoqg4flufIEVUdCk6cVx3xJdM9hw/LU1QkVVWp6uBBVR08WHsSPTZWMe3a+ZZr79A+JIkesKx7+/ZyJCfzt3oAaAYkxgEAAAAAiDJH9VXaZvKFUtlnimtbqZKNbzVpYtzrCb5i/NDCZ+Q9cUJxvS5T2x/f7As6eVh6d7Hk/l/p1BGp9KhUelxWArzJ1COhbvvYbr9wsWc6nhq4X23jRfNchBYjNNa5CPgDf6Oei9Dz3dTn5Vx4HzbFua9ljEYZT/WIbawxGns8NXC/s+y1JmGHFsqIjVVsp06K7dSp1lizoqI6iX5EVYcP+RLp1Vehe44cth5XHTkib1GRVFmpqgMHVHXgQJ3m4b/nuW/Zdl/i3JnSVs42SXIktZEzKVnOpDZytEnyfW/dmmXdAeAMkRgHAAAAACDK/H/ENNteJBV+prjkKpW89ZY6zZjeZHOwllJ3OFT66ac6/tprkqS02bNlnDwobfovacsfpcpTTTan8Mzgq9CbOi8PAAgQjeS7GrhfXcYLF3um49mci0Y9L2G2n/EYaoS5RdrP5rxEqxgn7D51bfP3HWFuAW2GYShWhmINQ4qT1MWQLjAktfN9Bezj9XhknjwpT8kpeU+WyHvypDwlJ+UtKZG3+run5KQ8JSUyS8uqxyiSSr6WSiR9I1VKqgz9ncf0zcU0fUM54hOs5eaNuDgZrjgZcXFyxMXLcLlkxMXLEeeS/G3+9thYGTGxUkysDP8942Nj5YiN9d3aJya2OiZGhjOmgefV3yabtsjnum7j6QznFamtAfvWZQ4UGQFnHRLjAAAAAABEmf+KcW9KhlQoxbWr0tGCXdr9s5/5Arym5PX6ljuv/jJNs/qxR6bXPN1ubff69vN4AmKr9/N4gvowvV5VZHaRXDHac+ttKi71LQaa9MMfKrFrnPRfA04nxLtcIf3LL6SU7lJCOymxneR0+bYF/lHQeh7yB8vAJddrLLcesvR6jdi67GcXG24/NXC/uo6nRppnpP2iPYbOYG5ny2ttc44adbzGPBd2r29jnoumOveNdF6a/GdLDdyvGd+HZ4XQ91TzzQQ4W/mv43babUys/qrbbdNrcSz8JlNSWfUXzjq+j87ARHnI79U2bWYd44IKVKob6j5ezb5M29ja+6vPfqZtX7XNNficVLRKk3n1DHkPVskb47DZp74avm/wP41h+nHGydkpo8FjoHGQGAcAAAAAIMocjurEeHJ3SVJiF1+iufSDLU02B/8fa/x/JnO2a6fU6dOkgnm+pHinvtIPHpUuvo6rWwDgbGM2cvFEfYodGjqG7X5q4H51HS9cbGOOpwbuV5dYBcee0blortdaDdyvructtM0urg592xXj1BrXfHM1TVNmVaVUVSWzqkryVMn0eH0Fkl6P5PVUP/YVVfoKIz0BhZNeWZ8jdo+loFxejV8FDZ2ea+h2m8enLxoPOBfVGwzVjA8dp0aeN3R+Qc+D5x9p3+b8FTcwrasajyPtUwe1d1V3jdlXlJmmR4aq5FClHGeUEG8a3spKSdLQoUPVv39/PfPMM1Ed79FHH9XLL7+sb7/9Vi6XSwMHDtTjjz+uQYMGWTFHjx7Vvffeq7///e9yOBy6+eablZubq9atW1sx27Zt0+TJk/X++++rY8eOuvfeezVjxoygsV599VU98sgj2r17ty655BLNnz9fP/zhDyPOb+PGjZo6dao+/fRTdevWTQ8//LDGjRvXqOfADolxAAAAAACi7PRS6t0lSbHxp3TBwuckOSTDITkdvhjDITkM32OHU4bDkKrbDaej+vHp7adjq9udTl+sf7+APjY+PFU6Uaz0F15Qh64Xytm6tQxvmfTZKt8kcxZIFw6yPwAAQPNiSV7gvBZ4XW9jM01TqqyUt6JSZmWFTOt7xelku8fjS8R7I32vTsjbfTd1OhkfkOz3tcm+3WsXH64f+YoAwvVdHR/Ut9frPwMh3yUpdJvvsRFYzBCyr1ljtQ/T+mbYtFVPLuS5rGOQbPaTfMUMwa9gyJyD9zND+w7cL2hu4eICngcWLgS0GaFxIWMEv3lD9wsc0wiO8U0wqC1wrIrYFHmNRHmUJI8RuF6Dv68zyfKfaYWAzf5xcWfYZ/306NFDixYt0kUXXaTS0lItXLhQI0aM0FdffaWOHTtKkn76059q//79ys/PV2Vlpe68805NnDhRK1askCQVFxdrxIgRGj58uJYsWaJPPvlEd911l9q2bauJEydKkjZt2qTbbrtNTzzxhG644QatWLFCo0aN0ocffqg+ffrYzs3tdisnJ0eTJk3SSy+9pPXr12vChAnq3LmzsrOzo3peDPP0T+tZobi4WMnJySoqKlJSUlJzTwcAAAAAgDO2fPo9Orxnt3485z/U/e85UuVJafJ7UseeTTaH5yaMUemJYo1b8Jzad73Q1/jRi9JfJ0vtM6V7PiDpAgAAAOCcUFZWJrfbrYyMDMXHx8s0TZVWepplLgmxThl1+G+pcePGafny5UFtbrdb6enpUZrZaf786z/+8Q9dd911+vzzz9WrVy+9//77uvLKKyVJa9eu1Q9/+EN999136tKlixYvXqw5c+aosLBQLpdv1bOHHnpIq1at0o4dOyRJt956q06ePKnVq1dbYw0ePFj9+/fXkiVLbOcyc+ZM5eXlafv27Vbb6NGjdfz4ca1du9Z2n9DX2+7Y6pJb5opxAAAAAACizL+Uuun1SqmXSXs/kA582qSJca/X90ciwxFwNcVHL/m+9x9DUhwAAADAOau00qNec9c1y9ifzctWoqv2lGtubq6++OIL9enTR/PmzZMk6+rtUJMmTdKLL74Ysb+SkpI6za+iokJLly5VcnKy+vXrJ0kqKChQ27ZtraS4JA0fPlwOh0ObN2/Wv/3bv6mgoEBDhgyxkuKSlJ2drfnz5+vYsWNKSUlRQUGBpk6dGjRedna2Vq1aFXY+BQUFGj58eI19pkyZUqfjORMkxgEAAAAAiDL/Uuper1fq1MuXGD/4maSbmmwOXo9veUWHszoxfmSXtGeTb/n2frc12TwAAAAA4HyUnJwsl8ulxMREpaWlRYydN2+epk2bdkbjrV69WqNHj9apU6fUuXNn5efnq0OHDpKkwsJCpaamBsXHxMSoXbt2KiwstGIyMjKCYjp16mRtS0lJUWFhodUWGOPvw064fYqLi1VaWqqEhISGHXAdkBg/z3x44EP9bdffrCUdDP//Ap+HPDaq79pgt48RcAOJGu3V/M+t76d3sN0n7Ph1nVu4fWzaa92/nscc6dgCl9GIuE9Ie6S52T4OmWedjrkO+9Q47oD2sMdWyzGHvja1HlvIXCK9fwAAAICzicMZmBivvs/agU+bdA5m9X0UHdVJen38J9/3i4ZJSV2adC4AAAAA0JgSYp36bF50708daezGlpqaWiNxXV/Dhg3T1q1bdfjwYf3+97/XT37yE23evPmM+z2XkRg/z3xd9LX+/OWfm3saQNTZJfUjJdLDxtehUCFcfKSCAbtkf1B8SHuk+NqOr0ZbuHi7go7T1RA1t4U7F4HxYeZr10ek46trvN1x2MafwXujPgU6QfF1KAAJWwgSGB/udQpz3HV9z0aMr0chzpnEh87L2ifCvGznHea81+tn32YcAADOhP8qbdPjkVJ7+RqbODHu9VQvpe50SF6vtLU6MX7FT5t0HgAAAADQ2AzDqNNy5ueKxlhKvVWrVsrMzFRmZqYGDx6sSy65RH/4wx80a9YspaWl6eDBg0HxVVVVOnr0qHU1e1pamg4cOBAU439eW0ykK+LD7ZOUlBTVq8UlEuPnnd7te+ue/vfIlClJvu+m77spU6Z5uj3s48B9QtoDn0uSaZ5u97cFtQfsEzhWXfaxtoXM33afgPaIxxzh2AL3Ce3b9pgbcp5Cz0cjnKfajvmM96njeWpqoeesGaYAoAWqTyLdtsihlqKRM4qvrYgm3EohNvGBY4cet92YEeNrKYKocV5rKVoIe3whffhj6xtf24oqEePrUWQR6XWtV3yY4o+6vjf8c7U75tqOI2xsPc93fc51uFiH4WjQPBpybutaZEVRDUKdXkrdI3Xq7Ws8/o1UfkKKa9Mkc/DfY9zhcErut6Ti76T4ZKlnTpOMDwAAAADnO5fLJU910XIkjbGUeiiv16vy8nJJUlZWlo4fP64tW7Zo4MCBkqQNGzbI6/Vq0KBBVsycOXNUWVmp2NhYSVJ+fr569uyplJQUK2b9+vVB9wfPz89XVlZW2HlkZWVpzZo1QW217dNYSIyfZy5rf5kua39Zc08D56mgAgWbAgKpZtLf2jewPTAhH1L0YDtGuHED97cpsKhrcUO4+NB52R2fXQFB0LYwhR91KUxo8HHYtNU4jjCFKnUpGGnwcUSYV+h5jxgf5v1Q27kIexx1LCCJdGyRjiNsfB3fg4HzqsvPUsT4COfO3x5pvnbnLvT9WNu5CxffVELPTxMPD+AcFJi4j0qhQWMVJdRWCFCf4oVaigZsz0Mt56ehxQ/hjqNe56YOx1yX1/jkKV81/OGSQ+qZ2E5qnSaVFEpLrpFi4iTDIV8HDl/BStBzI8Jzw+Z5zVjTlFT9b5jx93ulop2+N2mfH0ux8Y32ngcAAAAAhJeenq7Nmzdr9+7dat26tdq1a3f6dlcBzmQp9ZMnT+rxxx/XjTfeqM6dO+vw4cN69tlntXfvXt1yyy2SpMsuu0wjR47Uz3/+cy1ZskSVlZW65557NHr0aHXp4rvV1pgxY/TYY49p/PjxmjlzprZv367c3FwtXLjQGuv+++/XtddeqwULFignJ0cvv/yyPvjgAy1dutSKmTVrlvbu3asXXnhBku9q+EWLFmnGjBm66667tGHDBq1cuVJ5eXkNOt76IDEOoMkEXcnGRVQAGlGkIgSp9uKPGgUBdSjmsC1SCEn8h7bVSPDXVpwRehx1KOZoyLxqxNdSnNGQefnbwsZHOOeh/dU3PuxxRJiXFR/m2CK9H8KdizofR8BcA2Nqe6/X9ThCz0WkOdblXNS12Cb03Nf1HJxxrM2xeE2vFRdtpkx5TI//Cc5jPyhJ1QVK0Ms7/qT/94ObpIxrpE9elY65m2R8r2lI+p4kyfHFGslZ/b4cMLZJxgcAAAAASNOmTdMdd9yhXr16qbS0VG63W+np6Y06htPp1I4dO7R8+XIdPnxY7du311VXXaW3335bvXv3tuJeeukl3XPPPbruuuvkcDh0880367e//a21PTk5WW+++aYmT56sgQMHqkOHDpo7d64mTpxoxVx99dVasWKFHn74Yc2ePVuXXHKJVq1apT59+lgx+/fv1549e6znGRkZysvL0wMPPKDc3Fx17dpVzz//vLKzo3+PeMMMuuyp+RUXFys5OVlFRUVKSkpq7ukAAAAAaMHqurpHfYsBwiXow8bWUoQSqdjAK2/dCxiiUGjQkDnXdk7P+Hw2wmvbGOdUklWIkfjXr+T65oT+7/KjWj59ndo4XNLeDyVvZfWV3KZken2Pazz3Vj8PfBy4Taef2+7nVWVFlX77zCpJ0r33/lCu2Bip3UXSJcPP+OcIAAAAAJpaWVmZ3G63MjIyFB/PKlgtXaTXuz65Za4YBwAAAHDeCr3XOhAtqzb9h3Z9s1kyTX108CMN6TpE6h79+6f5mWWlklZJkox/GS+54ppsbAAAAAAAzgY1F60HAAAAAACNyuFw+r57pQ8OfNDk43s9nhpzAQAAAADgfMIV4wAAAAAARJnh8NWlG6ahLYVbmnz84MR43WrkTdPUgVMHtLt4t4rKi1RWVaayqjJVeCvOaC6GDBmGEfTYIcfptuqVHPzbDIW0h7T59/Wv/hC6b9j20O+BcSFzCJyrIUMOwxF+rjZjBcY6DEfd5mozB/++dnMKareZV8TjDdkOAAAAAC0RiXEAAAAAAKLM4fRdpW2Y0qdHPtWpylNKjE1ssvFNb/W9yA3DStLbqfBU6MXPX1T+7ny5i906WXmyiWaIs01g0UKkBHqkxH5QwUM9ixAchsO2sKC2AgApuICgLsUKkQoJai1gqGvxQQOLLWqcu3oWhoQ7ThkK2rfWYotajrO+hS11LSoJbfe/L6Lxngo7h4bMNfR1Dekv4rkOLaKJ8BrazRUAAADhkRgHAAAAACDK/Fdpt41Nlsc8oa0Ht+rqC65usvG9Xk/1PMIvo/6/3/2v5r83X3tO7LHanIZT3dp0U7v4dkqISVBCTIJinbFWsqa+TJny/V/1/8ww38PFBbbb7BPY5h8v3L5eecPGWe02bV7TGxRvF1frcdYSF9inf7xwcdESeJ6iPBSARmYVh9RSWFBjBQubgpbQGLuVK0KLDkJjQotV6rSqRR2KKWqLCVeYEKl4wa4gobYYuwKVGjEhr4ldYUpgTJ3PQz3Pi8OoWewUWgDV4PdJLQVKQecp0vviDI8xdJ/QwiO7lVsCjxkA0LKRGAcAAAAAIMqM6oR0t9ZdVaDv9P6B95s0MW56fFeM2y2jXlJRollvz9LG7zZKkjomdNTd/e/WgNQBurDNhYp1xjbZPFF/kYoKApP4Ut0LAOy+h4sLTNjXSOLbjWUzV2ue4eIizcFuTrWclwbNNbQwopbzZzuHM5lrHYo9QudVlyKOcOe6sYs4ws1VpqwilbBzinCcYV+7Wo7Ta3rr9J4OPc7AudZ2PiLNNdr8x1d94ADqwS55HrYgJEKMXYFKvYtGIhUFNFLhgF1xhF1hSVCMTXFEpKKRoHNWy8ontgUUtax4YnuMEb4HFkvY9eXfHvT6hBRWhMZHek0bOkbg9sCilrqOUWPOkcaIsA/Q0pAYBwAAAAAgyhxO3x+/LkjsIkn6oPCDJh3fW72UuuGsecX44o8Xa+N3GxXjiNHYy8bqF/1+oVaxrZp0fmi4wD8mAzh31HmljHoUAAQl8f2FCiFxXtNba5FI6IoaoTGhRTd2RRihbbV+r0OMVdBQl5jQgo2QtkgxgQUwtR6zwhf4hD0H9TkftezjX9UjMCaozSbGrtjGbh+790Dge882JsJ7QCGFMHV5n1gxTVhoYsqUx/T4nwDnvUjFBYEFFHZtofsFbbdrC0jGBxVEhG6r/t23Q0wH3dH5DjmKHHKWhV8Zy2jAL8oN2SdCZ5IpuZwudW3TtfH6RYOQGAcAAAAAIMr89xjvkthZqpK2H9mu0qpSJcQkNMn4Xk/1UurO4CvGC08W6uUdL0uScoflakjXIU0yHwA431HUAjSOMyqyCC0aUR0KKEKLJRqpgMJfAOA1vfKYHqv4wGN6ZHp9j72mzVdAu39/f5v1PFxcwHw9pqdGgYPH6wkqlgjcVmPe1cUV/rGC4kLOc7jXI7BPu3MadC5DVvAIV3QRWPBR4/0RuD2w2KKWFUEk2cZZ7dWxEZ8H7G+9l6vbAuOCHofE19geJYHHF+Wh6q3MVaaqTlWq8FbIUVVzZayzTYWnormnAJEYBwAAAAAg6ozqJcxbx7RSqitVB08d1MeHPtbgzoObZHyz+h7jRsg9xpd8vEQV3gpd2elKXXPBNU0yFwAAzkV2iT5/clEKSQiGLL0fKaEYmhQNTQZG6jNo7MB9wj1WHePCzTFCn0HziHB+VEvytE7zCHN+I/bZgDmFHpftuY70mtcyj9B9gJbCkM3y+4FXl/u3BVxRLvmWyZdqtocuX++P6RDbQU7DqRgjRk6Hs0axWV2v+q4RV32Fd112r8+V5S6nq86xiB4S4wAAAAAARJnDn5A2TV3Z6Uqtca/RB4UfNFli3L+UeuA9xt1Fbr3+1euSpPsH3M89BAGcN+wSU6FXW9ol5QKf2+0btC1kv8A+bROVEfoP+l5L/7X2KZs51GHO9U6SVl/BGTE5GZKQDLtPHRK3DUlC13ZMoXMCzkah94Ou7XHo94hxIffQrrGf/77WdttC7oNdp+ch98yWEXKPbfme2+3r3xb2uc29ye2Opba+wt23uy591+tcNGPf1nluSN9N/N8TZWVlcrvdymibofj4+CYdG+cuEuMAAAAAAESZ/97eXo9HV6ZVJ8YPNN19xk8vpX76ivFFHy2S1/RqaNeh6p/av8nmAjSlcAmuSMlK2yRnhORpXRKg4a7mjNS/XVIvYoI1UgI03DK4tZ2HMInTWvus5TxLijhuuMRmpHNV1yQzCU40tfokLgOTVGeauKxTXJjHVlJSjshxYZKVNY7Dbm6RzoVstkfoM2ziNmT/wARpba+DjJDkYC3HEu6xdSwBScbajsX2nIZ5XQCce4YOHar+/fvrmWeeieo4jz76qF5++WV9++23crlcGjhwoB5//HENGjTIirnxxhu1detWHTx4UCkpKRo+fLjmz5+vLl26WDHbtm3T5MmT9f7776tjx4669957NWPGjKCxXn31VT3yyCPavXu3LrnkEs2fP18//OEPI85v48aNmjp1qj799FN169ZNDz/8sMaNG9eo58AOifHzTNFf/6oDTzwpGcbpL4fvH96gNsOwlrnwxThqtoXGGo4o9KHqf+CD5ysjwpzr2EeNtupYGUZIH/62WvpwnF7+wxfjqL1PhyOoT6P62E73aZzuT6fHsOZjjRPYFjyO4T/vChkj3DgBX3bHYviPVUbNNqvPgHGtuYeOEXK+rD5D2qr3NwwFvIeq2xzB8w2e8+lxjOrzE9inIQWPYb3GAAAAQOPzX6nt9Xh0ZacrJUmfHPpEh0sPy+V0yfD/z//fOlLwlTP+35XVsCsyTI9/KXXfPD478pne/OZNGTJ074B7G/NQcQ7xml7tK9mn/Sf3q7i8WEUVRSouL1a5p1yV3srTX57Tj/1JxnCJTI/pCb7KtDoZ6b9PqV2y1GN6al4dawbfYzVov+p9SYCiqdgl6+wSfHbJrsD2GvsFJrwC2gMTajWSZAHtdv3bJVnt+g/qM8y4oVcRNiRxGTZ52IDEZeiVjGeSuLRLUpK4BAC0JD169NCiRYt00UUXqbS0VAsXLtSIESP01VdfqWPHjpKkYcOGafbs2ercubP27t2radOm6cc//rE2bdokSSouLtaIESM0fPhwLVmyRJ988onuuusutW3bVhMnTpQkbdq0SbfddpueeOIJ3XDDDVqxYoVGjRqlDz/8UH369LGdm9vtVk5OjiZNmqSXXnpJ69ev14QJE9S5c2dlZ2dH9bwYpmmeVTevKC4uVnJysoqKipSUlNTc02lxjr2yUoW//GVzTwM4e0UsEAiTfHc4Tifag5LtCl8Y4ggpYAgp6DAcoYUYjuD+7NrqOYZtW6SCD4WMYdPmOz82xRn1KSqxLQIJGaO2ohK7Nn9RTUDRRMSiEv/cAotAQgpNai8qOT1OxEITq0/VoaikDmPUUlRSYxy793VtRSWBbfyHPgAAtXrn5Re0+fWVGnD9jRp6x881bOUwHSk70ih9BybUAxPpgW3tj8Zo+DvtVJLo0bofFKnCW6FyT7lyLsrRk9c82SjzwNnPNE19ePBDrf56tb44+oW+Ov6VTlWdau5pnVVCE2dnmny0S8aF6z9cn3b72SUcw80lUkI3XBKxtnNQ53Fr67OBx2KXdA13dWatSew6vtYAAODsYi2lnlG9lLppSpXN9LttbGL1314jGzdunJYvXx7U5na7lZ6eHqWJnebPv/7jH//QddddZxvzt7/9TaNGjVJ5ebliY2O1ePFizZkzR4WFhXK5fPdIf+ihh7Rq1Srt2LFDknTrrbfq5MmTWr16tdXP4MGD1b9/fy1ZssR2nJkzZyovL0/bt2+32kaPHq3jx49r7dq1tvvUeL1tjq0uuWWuGD/PJI3MVuLAAVL1PYdkSr61xLzBbabpazdPf5lem7bQeK83bB+maUpem7aG9BHQbteHWX08VluNePmOObQtIDZcH9Z4dvPwmiF9hJ6v0D69NedfPa+geQaOXe8xAscJGKN6SbKgMfxtNfoMfn56nIAxvN7T/TXaGCFtXm/1W9YMGqNRWec2oCk0pHFHBFqOWpLttSf4jegVfNgVlQTG+WMCV5HwF6j42wL78RcFBBaxhPYbVPRxuo/Txx3Qb1DRhM3Y/mKGgMKRoAIRf78hbfbjRGoLLJoIGTu0CMOaT8DY/uILf78B8zm9yocj5Lnd2OHaAvoNfQ8FFmoEtilgLGuOAf36Y4yA97C/4MlubABoIKP6HuNer0eGYegnPX+iJR8v8f1ufIb8SwhXP7FVURUnSfIYXp2oPCFJSoxJ1OT+k894fJz9KjwVesP9hl76/CV9fvTzoG2xjlhd0PoCJcclKzkuWUmuJMU54+RyuhTriPV9OX3fYxwxchpOK9EYLnnpdDjDJkMDvwITlf5+Q/dzGk7bZGpQP9WJWivWJvkr1e3qWAAAAJyjKk9Jv+5Se1w0zN4nuVrVGpabm6svvvhCffr00bx58yTJuno71KRJk/Tiiy9G7K+kpKRO06uoqNDSpUuVnJysfv362cYcPXpUL730kq6++mrFxsZKkgoKCjRkyBArKS5J2dnZmj9/vo4dO6aUlBQVFBRo6tSpQX1lZ2dr1apVYedTUFCg4cOH19hnypQpdTqeM0Fi/DzjTE6WMzm5uacBNDozMFFej2S76fX6OzidfLcpGvHtK8mswxihBSDegCIC20IUb3B/dgUk4fpU4PPgoouIY/iLFewKO2Qzb7sCi9AxahSbBPdpX9hRyxhBhSLB49QYI2KxSKTjCCzsCCnksJu33fuotkKRGseieheL1DwOM2yxiNUWNIZq/Iw0Ov/PU7XQEaIwItD06pOUt22zKZ6oawFGhLHtizJCij9CCjBqFIQEruhRj+IP33waUPxhV4ARWvwRNJ+aBSG2x1RLQUjkooyAYwpXlFFb8Ufg7WFCCk1qLwgJLf4IWL0j9PV3OKrHsin0cNi8B7l9TLMLXEpdkv69/7/rF5f/wpfUrv4dIfS7pNP3zg1oC1xu2p9YD7wXb+Bz/34HduzUxncXqmtSN/191O9kylS7+HZKjktu6lOBJra3ZK8mvjlRe07skSTFOeN0w0U3aHCXwerRtoe6JXVTrCO2mWcJAAAAtHzJyclyuVxKTExUWlpaxNh58+Zp2rRpZzTe6tWrNXr0aJ06dUqdO3dWfn6+OnToEBQzc+ZMLVq0SKdOndLgwYODrvwuLCxURkZGUHynTp2sbSkpKSosLLTaAmMKCwvDzivcPsXFxSotLVVCQkKDjrcuSIwDaBEMw5CczuC2ZpoLcK6o80oNAUUYQYUdUkjxiE1/dquNhBR2hCtIsSvsCN9nhMKOoNVIwswlsNgjsC//flbhQkA/3sACj5DCDX+/gQUjAX1Yxxfab1CBRM02q0DCOkcRxg4syPD3EVigUeOYbPqNMHbQax70moUUiEQ6psAikqCxZd9vpLED34/+opFoFIMEFIBQ/IFzVrgCDocjfMGHPxEfrggjTCLeVwwQpmij1vFqFjpYhRhhCkeCx7MplAi3+kaY8azndvFWYUPdxiv78lNJkiegot/pcNq8QNHhiT8sSYqLjVd6cnqTjYvm9W3xtxr/5njtP7lfHRM66qeX/VQ3X3Kz2sa3be6pAQAAAI0rNtF35XZzjd3IUlNTlZqaekZ9DBs2TFu3btXhw4f1+9//Xj/5yU+0efPmoH6nT5+u8ePH65tvvtFjjz2m22+/XatXr26xRfUkxgEAOE+dvq97QFszzQVoCqGri9Qp4V6jUCRM8YjpDYk53RZUDOINKcAIXNHDX/ThDSmeCC3SqLFaiF2xR8jYdsUftgUYIcUfdsUTYYs/gttC+6197JpFGTWKP+yKJ2or/ghcFSRCMUqdij8U3G/Q2GEKQuwLWhTcb8h7qi7FH2f4wxDUT2BRBwUe0XOyY1upS3udePsdmfd5ZDibLikuSWb1leqOJkzGo3l9U/yN7lp3lw6eOqj0pHT9IfsPSk08sz+sAQAAAGctw6jTcubnisZYSr1Vq1bKzMxUZmamBg8erEsuuUR/+MMfNGvWLCumQ4cO6tChg3r06KHLLrtM3bp107vvvqusrCylpaXpwIEDQX36n/uveA8XE+mK+HD7JCUlRfVqcYnEOAAAAM4ToauLUAiCc1nYIo6g4ovQgo2ABH5oIUbgc7t42/4Dix68NeMDCzts4+UrUvAGFETUWK0jwnihK3cEFj6ELcrw1ogPLsgIiQ8sgAizqoZpesMXTHi9VjFE/ImjUskRVZ04oaK//V1t/21Uk75nvNWFEEb1ku51YZqmqvbtU9kXX6jq4CF5jh1V1dGj8hYVy6ys9H1VVZ1+XFkp01PlG8f/KRt4SwnreR22h1stwL/agN1qARGu/g9ebSD06v8GrjZQ41YJtewf7hYOobdnCHwe5pYPhnU7BZvbOzgMHSg9pCfee0JtK46rV+sumn3ZNLX5qlClxsGQ/kNv4xAyns0tGmre9sGwjw+zMgS3dAAAAMD5zOVyyVNduBxJYyylHsrr9aq8vDzidklWTFZWlubMmaPKykrrvuP5+fnq2bOnUlJSrJj169cH3R88Pz9fWVlZYcfJysrSmjVrgtpq26exkBgHAAAAgHNMUKJJFHqcCw6u+au0/PcyDenwokVKzvmhDJerycb3/4HD4YycGK88eFBFr6/SyXfeUdnOnfIWFzfF9BAFU61H3+r44kk63nxTsWfdosHmNgzhbrFgFR7U4xYNQUUTZ3pLiLO8SCPcLSD820JjA7cFFEecLoQIKcTwF0EEFmWE6T+4DyPoeY1CC6t/R1BRRfC2gDn6X+eAgowa2wAAAM5S6enp2rx5s3bv3q3WrVurXbt2ctgUMJ/JUuonT57U448/rhtvvFGdO3fW4cOH9eyzz2rv3r265ZZbJEmbN2/W+++/r+9973tKSUnRrl279Mgjj+jiiy+2EtRjxozRY489pvHjx2vmzJnavn27cnNztXDhQmus+++/X9dee60WLFignJwcvfzyy/rggw+0dOlSK2bWrFnau3evXnjhBUm+q+EXLVqkGTNm6K677tKGDRu0cuVK5eXlNeh464PEOAAAAAAAUWYtnR4fp8ovvtWx115TuzFjmmx8ayl1myXcTdPUyXfe0bGXX1HJxo1S4NULsbGKu+gixV5wgZztUhSTkiJncrIMl0tGbKz1pZgY3+OYmMCOT69oYD2v/u5rOL3SgPwrIfg3hawuEHQrh9NX+Ie9bUOYWz9Yqw2Eu51EYHyN2yGEuf1EjRUFQvYPN17AigK2+4fensHueY3VI7w6WVGigyUH5JShLq26yClHzf3DrTYR8NgXr+DnIfFnpPoYq98Jwe/JM+sZOJ1cD02aS7bttol363lAMUNo8UHgtojJ++A+ggokQvtwnO6/RqFEaCGCbOYY0kdwMUlgHwGFCDbFEqdXgwjZZlfoENpHjRUl6tBH2MKKMMUZIec7dPWK8K+no2YfAAA0oWnTpumOO+5Qr169VFpaKrfbrfT09EYdw+l0aseOHVq+fLkOHz6s9u3b66qrrtLbb7+t3r17S5ISExP1l7/8Rb/85S918uRJde7cWSNHjtTDDz+suLg4SVJycrLefPNNTZ48WQMHDlSHDh00d+5cTZw40Rrr6quv1ooVK/Twww9r9uzZuuSSS7Rq1Sr16dPHitm/f7/27NljPc/IyFBeXp4eeOAB5ebmqmvXrnr++eeVnZ3dqOfBjmGaZ/pfMo2ruLhYycnJKioqUlJSUnNPBwAAAACAM/Zx/hr94/nn1L1zV/Ve+5ZiOnbUxW+ukyPK90/z21nwjlY/86S69uqjW3/5pNXuPXVK+x+Zq+KAyvyEAQOU/KMfKaHf5Yq76KImvbIdZ6bcU64frfqR9pbs1aR+kzS5/+SojheUKLdNpMtXsFDn2z4o+HmE2z4E3pKh7rd9CHMLCLNm0YT9bRh0jhRp2PUXsC20OCO0uMMbsi3oNhlem3Md0H9IAUad+wjd5n8vNUYRBhCJtfqDQzWKGsK1Ox22hQ2G01GzIKGefdSrb6fDptAhtD2gIMGu3eGsWUgReOyBfddoP92HbeGGv+/QAgi7dqfTfgWJGu3Vj53OmsUPTierRgDnmbKyMrndbmVkZCg+Pr65p4Moi/R61ye3zBXjAAAAAABEmeHwXakd07mzYi+4QJV79+rYihVqP358k4zv9VZfMe44fcV4+ddu7b3/PpV/+ZXkdCplzBil3PoTxWVmNsmc0Phe/OxF7S3Zq9SEVN3Z+86oj8dtHdAUwq5sEFo8UdfEe2BhhFVkEZC89xdQhBZgBG4LKqbwnn4cWLgRuC20jxoFDN6axRJ2fViFCAHbQosiIhU62I1nFWvUsY+IhRVhzndQXPjijBqrZgT0Z9u/TcFFvQspTFPyeKyVVSRWrWgRwiXMa7SHrN7gsIl1GNXJ/3BFE/Z9BPXnT+ZbfVVv8xcrOJynix+cjtP71WgzfKsQOerRl9PpKzSo0VazL8PpCDm+kLbAvvzFCWHarPMT8Nio/n0BAJoTiXEAAAAAAKLMv4S51zTVYfJk7Z89W4eX/l7lX3/tC6i+usl3lZMR1OZbWlbW49NXQgVuD91HQXHHjx2UJFXu2aMD85+S6alS0Z//Iu/Jk4rp2FEXPLNQiQMHNvpxo+kcLj2s33/ye0nS/QPvV2JsYjPPCGgcFGCgvmwT9LZFD9WJdY+3ZvFDmHbT47GKC8K1BxUueDzBRRheU/J6Qubi327TR9h2j31xhr/vwCIEj8e+wCFce2Af/naPzeoQZj379oQpYPF4wrY3uOghcPWJykrf+yIq7zbUm12yPDDJbtN2OsnuCC42sGsLLEDwr8DgDEn+2xUgBBYZROwroGggxhlQPOB/7jhdcBD03OG75VDgc2fM6YICh0M64+dOVkw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      "text/plain": [
       "<Figure size 2000x1000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = unsteady_without_bedmotion()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transitoire avec surverse de l'ouvrage\n",
    "\n",
    "Modification dynamique de la topographie et du toit.\n",
    "\n",
    "Problème disponibles :\n",
    "\n",
    "- 2 : pont recatngulaire de 20 m de long\n",
    "- 6 : pont rectangulaire de 60 m de long\n",
    "- 7 : pont triangulaire de 20 m de long\n",
    "- 8 : pont en U (poutres latérales plus épaisses) de 20 m de long\n",
    "- 9 : ponceau de 100 m de long\n",
    "\n",
    "Sous-problèmes :\n",
    "\n",
    "- x1 : mouvement de la condition limite aval (mise en charge par l'aval)\n",
    "- x2 : mouvement de la condition limite amont (hydrogramme - mise en charge par dépassement de capacité d'écoulement)\n",
    "- x3 : mouvement de la condition limite amont et de l'aval au moment du pic (mix des 2 premières situations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR:root:Manning coefficient or slope cannot be null\n",
      "WARNING:root:Return 99999.\n",
      " 18%|█▊        | 644.0620520671547/3600 [00:05<00:26, 111.71it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  644.0620520671547\n",
      "Residual :  9.998784733511457e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "unsteady_downstream_bc: 100%|██████████| 9002.007815042503/9002.0 [01:31<00:00, 98.69it/s]  \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ce09c83f27084dd2a4d0947e0888f286",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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width=2000.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Nécessaire pour l'animation dans le Jupyter Notebook\n",
    "%matplotlib widget\n",
    "anim = unteaady_with_bedmotion([81])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR:root:Manning coefficient or slope cannot be null\n",
      "WARNING:root:Return 99999.\n",
      " 18%|█▊        | 644.0620520671547/3600 [00:05<00:27, 108.92it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  644.0620520671547\n",
      "Residual :  9.998784733511457e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "hydrograph: 100%|██████████| 9002.009025583557/9002.0 [01:29<00:00, 101.08it/s] \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c3d9f46836e241ad8c60494aeb2649fb",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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width=2000.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "anim = unteaady_with_bedmotion([82])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ERROR:root:Manning coefficient or slope cannot be null\n",
      "WARNING:root:Return 99999.\n",
      " 18%|█▊        | 644.0620520671547/3600 [00:06<00:27, 105.95it/s] \n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total time :  644.0620520671547\n",
      "Residual :  9.998784733511457e-08\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "hydrograph_2steps: 100%|██████████| 9002.053747638016/9002.0 [01:29<00:00, 100.98it/s] \n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4be7b9e3602f4ec48364c34af5585605",
       "version_major": 2,
       "version_minor": 0
      },
      "image/png": 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      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img 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width=2000.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "anim = unteaady_with_bedmotion([83])"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "python3.10",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}