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@calebrob6
Created November 13, 2025 00:36
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "9bdc2bbb",
"metadata": {},
"outputs": [],
"source": [
"import math\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "d97e50ca",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Tpk1ZZmamfnp6ejpr1KgRA8COHz+un37kyBEGgAFg3333ndltRkdHm0x78OABq1+/PouIiDCa/ueffzIArE2bNkylUhkt7+vrywCwsWPHGq3TpUsXJpFI2MGDB42m37p1i7m5ubGWLVuaPa7SZs2axQCwbdu2GU3Pz89nrVu3ZgDYTz/9pJ9eWFjIgoODmZubG7t48aLROidOnGASiYQNGDBAPy0rK4u5u7szuVzObt26ZbSdHj16MAAmcXniiSeYpctt7NixDACLiYnRT9PFY9asWUbLBgUFMQCsb9++LC8vz2heamoqc3d3Zw0aNGCxsbFG87Zt28YAsDfeeEM/7c6dO8zBwYE1aNCAPXz40Oj8GjduzACwJ554wuwxlxYTE2M2powxNmfOHAaAvfjii4zjOP30ixcvMqlUyjw8PFh2drZ+ui5+crmcXblypUL71wHAGjduXO5yBQUF7P79+ybTr127xlxdXVnv3r2Npm/YsIEBYA4ODuzkyZP66RqNhvXs2ZMBYKdPn9ZPr8nX9t1332UAWEhICFu8eDE7deqU0TVVmqX3DmOW41TW+8rw/Dds2GAyLy4ujmk0GqNpHMexCRMmMABGrxdjjD3++OMMAFu7dq3Jtu7du6f/vbLv57Lorr/33nuPzZo1y+Rn4cKFRsvrrslGjRqx5ORk/fSzZ88yAMzDw4N169aN5ebm6udt376dAWBTp041u+/GjRsb3YszMzNZ48aNmUgkYv/8849++u+//66PheH2OY5jr732GgPAdu7cqZ+ui01kZKRRHK5cucKkUqnJe6Eq9y/dNXnkyBH9NN17CQBbtGiR0fIff/wxA2D0umo0GhYUFMREIhE7ceKE0fJjxozRb8vw9RGJROyxxx4zeX9pNBqWkZHByvPtt98yAGzx4sUm84YOHcoAsGvXrjHG+NcLABs8eLDJsgUFBSwnJ6fc/elek759+5rMmzlzJgPAevXqpZ9m6W/49OnTGQD2/vvvM8YYW7VqFQPAXnjhBaPlPvzwQwaAffLJJ0b31uzsbPb4448zqVTKEhIS9NPNxdGSnJwcFhgYyACw/v37s82bN7Nbt24Z7ae0su4Thm7evMk8PDyYl5cXu337dpXPx5LMzEyWlpZmMv3w4cNMLBazl19+2Wi67nVRKBTs5s2b+ul5eXmsUaNGTCwWG+1Xd49t3bq10TV6//59plQqLf4tNMfS55XSunfvzgCwv/76Sz+trM8OANju3bv10wsLC1mrVq2YSCRiSqWSnTt3Tj8vOzub1atXj3l5ebHCwkL99Kreiyr6d/K5555jANjly5dNzrf0519z10pVP1tUNM6E1DRKugVk6dKlzNXVVX/DBMDCwsLYlClTjP4w6ZSVdOs+8G7fvt1k3tatWxkANmHCBP003Y26Xbt2lT7uqVOnMgBGH4zHjRvHALCff/7ZZPkFCxaY/FG6ePGiyTEZ0iUeV69eLfd4dDfWoUOH6j9UT548Wf8BYsiQIUyr1eqX//nnnxkANnfuXLPbe+6555hYLGZZWVmMMca+//57sx+uGeOT9LpIuv/991+T7SxbtowBYJs2bTK7n3bt2jGlUqn/v+4P1tKlS02W3bx5c40l3aGhoczR0dEoodJ55ZVXTI5ZF7933nmnQvs2VNGkuywDBw5kUqnU6MOH7sPEmDFjTJbXzVu+fLl+Wk2+tvn5+WzcuHFMLBbr7wsSiYS1a9eOzZs3zyT5qE7Sbe59ZXiO5X2YNnThwgUGgM2ePVs/TZe09ujRo9z1K/t+Lovu+rP0o1AojJbXXZPff/+9ybZCQ0MZAHbs2DGj6RqNhjk6Opqcm27fW7ZsMdmW7r1g+OXBs88+ywCwuLg4k+V1iejQoUP103r16sUAsAsXLpgsP3HiRJP3QlXuX2Ul3SEhIUb3U8N5zz33nH7a0aNHGQD27LPPmuw3Pj6eSSQSo3tkVlYWA8C6du1aZqJXlszMTCaTyUy+sM3IyGBOTk6sTZs2+mm6pLt0YlsZuvMOCwvT/+2ZNm2aPmGSyWTs1KlT+uUt/Q0vLCxk7du3Z2KxmC1fvpw5Ozuz4OBg/d8gxhjTarXM09OThYWFmX199u7dywCwFStW6KdVJulmjP+73Lx5c5NrZcCAAWb/tlfkPpGSksLCwsKYVCo1uoaqcj5V0bJlSxYcHGw0Tfe6zJw502R53by9e/fqp40fP54BYLt27TJZft68ebWSdD///PMmn+nK+uxg+OWOzty5cxkANn78eJN5us+Mho0rlb0XVfbvpC7pNvzyzxJz10pVP1tUNM6E1DR6vFxA3n33Xbzyyis4ePAgTp06hfPnz+Ps2bNYtWoV1q9fj+3bt+PZZ5+t0LZ0/VLN9YPVPXJ4+fJlk3nmHqnViY6OxsKFC3H48GEkJCSYFHZ78OCB/pEtXX+7bt26mWxHV7nV0JkzZwDwVcbN9UW9efOm/l9dhc/y7Nq1y+TR1uHDh2P79u1Gj/jp9n3r1i2z+9YVCbt9+zYef/xx/bl1797dZNnOnTubPLpe02QyGVq2bGkyXXceZ8+eNdtvraCgAKmpqUhNTYVSqSzzPMxNq4rs7GxER0ejadOmJo93Avx7cd26dbh8+bJJn+UOHTrUyDFYcvnyZXz22Wc4efIkkpKSTPofp6ammhSpeeyxx0y2ozsvwzHJa/K1lclk2LBhA+bNm4dff/0V586dw7lz53Dx4kVcvHgR33zzDY4dO2bU/aEqLL2vylNYWIiVK1fixx9/xM2bN5Gbm2vUT1lXhA3g+4kCQJ8+fcrdbmXfzxWRmJhYqUJq5rr6+Pv7Izo62mSeRCJBvXr1jM7XUFnvBcM6AmfOnIFcLsd3331ndjvOzs76+yHAv9fkcjnatWtndvvr1683mlbT9682bdpALDYuD1PWNWHub0JAQAACAwMRExOjn+bu7o5nnnkGv/76K9q1a4fhw4ejZ8+eaN++vf6R6/IoFAo8++yz2LFjB/7991/94+g//fQT1Gq10T2nadOmaNWqFbZt24b79+9j8ODB6Nmzp9nzK09UVBTmzJkDAHB0dISvry9GjRqF6dOnV+gac3R0xLZt29CmTRu8+eabkEgk2Lp1K9zd3fXL3Lp1CxkZGahfv75+X4ZSUlIAwOi9Ullt27bF1atXcfr0aRw5cgQXLlzAyZMnsX//fuzfvx8vvvgiNm/eXOFx6NVqNYYMGYKoqChs3LgRPXr0qLXzOXr0KL788kucPXsWqampRv2VLXWfsMb9vbZYuneVN+/BgwcICQkBUPl7kU5FX8eRI0fi559/RqdOnTBq1Cg89dRT6N69e4Xu59X5bFHR4yOkplHSLTBubm4YPny4vh9KVlYWPvzwQ3z99df6Pl0V6W+XnZ0NsVgMHx8fk3m+vr4QiURmx6s27H9n6O7du+jQoQOys7PRq1cvDBw4EO7u7hCLxTh69CiOHTtmlITr9m/u5mluH+np6QD4Pj4HDhyweF6VGa9y27ZtGDlyJDQaDW7duoVp06bhp59+QuPGjTFv3jyTfZfXl0e376ysLABAvXr1TJaRSCT6vnC1pV69emY/5OjOY9WqVWWur1KpoFQqyzwPS++DytK9xyxtT/eHvjLvxZpw6tQpfYGlPn36ICIiAq6urhCJRNi9ezf+/fdfs6MFGH7o1dElKYZFZWrjtW3YsCEmTZqk7+cWFRWFCRMm4Pjx43jnnXeqPWaupfdVeYYNG4Z9+/ahUaNGeP755/Xj+WZmZuKrr74yeh11r0tFhrip7Pu5NpQVb0vzLBWPMxd33TTd6wLw563RaMwmHjqG98GsrCwEBARUeJ81ff+q6DWhu8bN7Vd3rIZJN8AnxwsWLMAPP/yAjz76SL+/8ePHY8GCBUb9gS156aWXsGPHDmzZskWfdG/evBkSiQSjRo0yOubDhw9j9uzZ2LVrF9577z0AgI+PD9544w189NFHFa4r0bdvXxw8eLBCy1oSGhqK1q1b4++//8Zjjz2GLl26GM3XXR///fcf/vvvP4vbqe4YzyKRCF26dNHvnzGGPXv2YMyYMdi6dSuGDh2KIUOGVGhbEydOxMmTJ/Hhhx/qizPq1OT5/PTTT3j++efh6uqKvn37Ijg4GC4uLvoiX5aK4lXm/l6Zzzc1QfdlnrnPdOZU5d4FwOj+Vdl7UUX2bfg6Dh8+HLt378ayZcuwZs0arFq1CiKRCL169cLSpUvLrG9Unc8WFT0+QmoaJd0Cp1AosHLlShw4cABxcXG4evWq2W/pSnN3dwfHcUhJSTH5kJOcnAzGmNkbj6UP3V988QUyMjKwefNm/fijOq+99hqOHTtmdv+pqakmfyQePnxo9ngBVKvwiyUODg5o3rw5fvnlF7Rs2RLz58/HkCFD9C1Dun3v27cPAwYMKHd7uiImycnJJvO0Wi3S0tJMkgpdS4lGozFpSTL8wF0RlmKkO4+rV69W6GkAw/MoXVTGXIyqQndMlraXlJRktJyhqiSAFTV//nyo1WqcOHHCpOXtzJkz5VZGLk9dvLZhYWHYuHEjQkNDcfjwYf10w/daaWW916ryev/zzz/Yt28f+vbtiwMHDhglJWfOnDEp1qirsp6QkFDutiv7fha6hw8fmoxzrXsvGBZGcnd3h0gkQmpqaoW2q1Ao9K2A5vZpbnmgcvevmqCLp7n9AuaP1cXFBZ9++ik+/fRTxMTE4MiRI1izZg2++uor5Ofn45tvvil3v5GRkfDx8cG2bduwePFixMfH4+TJk+jTp4/JUw/e3t5YsWIFli9fjps3b+Lw4cNYsWIFZs2aBUdHR8yYMaMKZ141y5Ytw99//w1vb2+cO3cOX3/9NV5//XX9fN3rOXToUOzcubPOjkskEmHw4MF45513MHfuXBw+fLhCSfecOXOwdetWDB8+HJ9++qnJ/Jo8n9mzZ0Mmk+HChQuIiIgwmqcbfaA6FApFpT7fVFdubi4uXLgAiURi9omW2lLZe1FVDBo0CIMGDUJOTg7+/vtv/Pzzz1i/fj0iIyNx8+ZNo5E5Sh8bULXPFoRYCw0ZZgNEIhHkcrnJdIlEYvFbubZt2wKA0RAvOrpp5VVJN6R7vLN0hXLGmNmhGXQtCubmmavuqatKbqmyeU2QyWRYsmQJGGNGQ29Udt+6cztx4oTJvNOnT5tNdnSVeUsnGxzHVTvB06nJ8zA3rSrc3d0RGhqKu3fvmk20qvJerAlRUVHw8vIySbjz8vJw8eLFam+/Ll5bAHB1dTWZZum9BsDscGjVobsv6CpSGzJ3nrouA7///nu5266Le0JdKuu9oLtfA/x5p6WlVbhqdOvWraFSqcy+b83tsyr3r5pQ1t+E+/fvG42UYU5ISAgmTJiAY8eOwdXVtcJDSDk4OGDkyJFISEjAkSNHsHXrVjDGTL48NiQSidC0aVNMmTIFf/zxBwBUewiuyrh06RI+/PBDNG7cGFevXkVISAimTZtm1ALctGlTuLu74/z58xafrqhN5u49lmzbtg2zZ89Ghw4d9MNKllaT5xMVFYWmTZuaJNyJiYmIjo6u1raBuru/6yxduhR5eXno169fnY6DXtl7UXW4ubkhMjISa9euxbhx4/Dw4UOTceANCfWzBSFloaRbIL755huj8TsN7d69Gzdu3ICHh4dRi4+XlxdSU1PNjvure3Rrzpw5Ro/XZGVl6R8VKv14V1l0rXWlh0VatGiR2TG0deNhz50712jsw6SkJLNDlXXo0AEdO3bEtm3bsH37dpP5HMeZtKZXxaBBg9CuXTv88ccf+j+OgwYNQmBgIJYtW4bjx4+brFNUVGR03oMGDYK7uzu+++473L5922i5jz/+2Ox+dX3lS4+RvmzZMpNHKqtq/PjxcHNzw0cffWT28by8vDx9P1kAGDVqFCQSCZYtW2bU+pSdnW22JaKqxo4di6KiIsyYMcOor++VK1ewceNGKBQK/TBjdSUoKAgZGRlGr5NWq8W0adMsthpWRk2+tnPnzsW9e/dMpjPGsGjRIgDG/WQbN24MNzc37N27V//IJsC3CNRkXAHL94X//vsPCxcuNFm+ffv2aN++PY4fP252HGnDD0+VfT8L3bx584yeNMjKysKnn35qNA46wA/1CPBDLpob1zYpKclo2Dldf8WPPvrI6EvYq1evYvPmzSbrV+X+VRO6deuGwMBA7Nu3z+SLlE8++cTkC+SUlBSzf1syMjKgVqshk8kqvG/da7R582Zs3rwZcrncpHU2NjbWaLxjHV1LWmX2Vx0qlQovvPACAD5Z9ff3xw8//ICioiK88MIL+r/3Dg4OmDx5MuLi4jBt2jSzieq1a9csPllQnnPnzmHTpk1mP1+kpKTg22+/BWC+j76hU6dOYfz48QgMDMTevXvh7OxsdrmaPJ+goCDcvXvXqBW0oKAAkydPrpEvKHTvp7lz5xo9Xp2QkGD2801VqdVqfPbZZ5g7dy5cXV3N3lNrU2XvRZV1/Phxsw1HuhiXd80J8bMFIWWhx8sF4rfffsNrr72G8PBwdO3aFfXr14dKpcKlS5dw4sQJiMVifP3113ByctKv8+STT+L8+fPo168funfvDqlUih49euh/pk6dihUrVqBFixYYOnQoGGPYtWsX7t+/jzfffNOoiEl5XnvtNWzYsAFDhw7FiBEj4O3tjTNnzuDixYvo37+/ST/s3r17Y9SoUfjhhx/QsmVLDB48GGq1Gjt27EDHjh2xb98+k+I027ZtQ69evTBy5Eh8+eWXaNeuHZydnREfH4/Tp08jJSXF7AeAypo9ezaeffZZzJw5E0eOHIGTkxN27tyJfv364YknnsCTTz6Jli1bQiQSIS4uDidOnIC3t7e+YIhCocDy5csxbtw4tG/fHiNHjoRCocD+/fvh7OxsUnwL4BOIzz77DLNnz8bly5cRFhaG8+fP49q1a3jiiSdq5AsF3SOUw4cPR+vWrREZGYkmTZpArVYjNjYWx44dQ5cuXfR9DcPDwzFz5kzMmjULrVq1wogRI+Dg4IBdu3ahVatWuHXrVrWPCQDef/99HDhwAJs3b8aNGzfw1FNPITk5Gdu3b4dGo8G6devg5uZWI/sC+NaMcePGmZ2nVCqxZMkSTJ06Fb///ju6deuGESNGQCaT4ejRo0hISEDPnj3NPiFSGTX52i5btgyzZ8/G448/jsceewxeXl5IS0vDkSNHcPv2bXh7exuN8yyVSjF16lQsWLAA7dq10z+6t2/fPjzxxBNmi5JVVYcOHdChQwfs2LEDiYmJ6NSpE+Lj47F3717079/f7GOiW7duRc+ePTFp0iRs3rwZnTt3RkFBAf777z9cunRJ/+Gusu/niliyZInFFrrIyEh06tSpai9EBTRq1Eh/Lwagvxe/++67ePzxx42O45NPPsG8efMQHh6OyMhIBAUFIS0tDXfv3sWJEyfw6aefomnTpgD4D54//PADDh48iLZt26Jfv35IT0/Htm3b0KdPH+zfv9/oOKpy/6oJEokEa9aswbPPPosnn3wSzz//PPz9/XHs2DEkJCSgdevWuHLlin75hIQEtG3bFq1bt0arVq3QoEEDpKWlYc+ePSgqKjIaz7087du3R+PGjfXJ60svvWTy9Njly5fx3HPPoUOHDmjWrBn8/PyQkJCA3bt3QywW45133qmx16Isb731Fm7duoUlS5bon4Do1KkTZs2ahU8++QT/+9//sGLFCgD8l+oXL17E8uXLceDAAfTo0QP16tVDQkICrl69in///RenT5+22I++LA8ePMDYsWPxxhtvoEePHmjSpAkcHBwQFxeH/fv3Izc3F/379zc7DrKhl19+GWq1Gh06dMDq1atN5gcHB+vv1zV1PlOnTsXUqVPRtm1bDBs2DBqNBn/88QcYY2jdunW1ny7r1asXxo8fjw0bNqBly5YYMmQI1Go1tm/fjk6dOplccxWxc+dO/WeM3NxcxMTE4Pjx40hNTUVAQAC2bNlS591sKnsvqqw333wTDx48QLdu3RAcHAyRSISTJ0/i3Llz6NSpU7lf6NT1ZwtCqs1KVdNJKTdv3mSfffYZe/rpp1lISAiTyWRMJpOxsLAwNnbsWHb+/HmTdXJyctgrr7zC/P399cOtlB4m6LvvvmPt27dnLi4uzMXFhbVv397sONxlDTNkuEzXrl2Zm5sb8/DwYM888wy7cOGCxWFIioqK2Lx581hISAiTSqUsNDSULViwQD9s0FtvvWWyj/T0dPbxxx+zFi1aMGdnZ+bq6soiIiLYqFGjzA5RYk5FhuDQjRVsOObl/fv32VtvvcUiIiKYk5MTc3d3Z02bNmUvv/yy0XI6v/zyC3vssceYk5MTq1evHnv55ZdZenq6xWFgLl++zJ566inm4uLC3N3d2aBBg9idO3cqPWSYpWHidG7evMkmTpzIgoKCmFQqZZ6enqxly5bszTffNBqbU2fdunWsWbNmTCqVsoYNG7Jp06axvLy8GhsyjDHGcnNz2SeffMIaNWqkHz+zX79+JuP1Mlb5YW0MoYxhoVBqKKSdO3eydu3aMRcXF6ZUKtmIESNYVFSU2XiUNRROWddOTby2x48fZ9OnT2edO3dm9evXZ46OjszV1ZW1atWKTZs2jT148MBkHa1Wy2bPns0CAgKYVCpljRo1Yl999RWLjo62OGRYWe+rss4/OTmZTZgwgdWvX18/PNOqVass7osxxpKSkthbb73FQkNDmVQqZV5eXqxjx45s2bJlJstW9v1sTnlDhgFgX3zxhX55c++B0tsyx9zrqFs+Pz+fvf/++/qYNG7cmC1fvtzicFh//PEHGzhwIPPx8WGOjo7Mz8+Pde7cmc2bN4/Fx8cbLatSqdj777/PGjRowJycnFizZs3Y2rVry3xvVub+VdaQYZaueUvv8cOHD7Nu3boxZ2dn5uXlxYYPH87i4+NZixYtjIZuy8jIYLNnz2Y9evRg/v7+TCqVsvr167PIyEj222+/md1nWT799FN9rA8dOmQy/969e2z69OmsU6dOrF69ekwqlbLAwED23HPPGY0tXJayxuk2p/RrvXPnTgaAPf300ybvC61Wqx9Hfd++ffrpGo2GffPNN6xr167M3d2dOTk5scDAQBYZGclWr15tNL5yZe6t2dnZbMuWLeyll15izZs3Zx4eHszBwYH5+Piwp556iq1fv95k/HRz9wndcISWfkq/RypzPpZwHMfWrFnDmjdvzmQyGfPz82MTJ05kycnJZq/fsl4XS/c+jUbDFi5cqL+H6T7f3L17t0pDhul+xGIxc3d3Z+Hh4WzYsGFsw4YNTKVSmV23Mp8dyjqX8l6Dit6LKvt38scff2QjRoxgYWFhzMXFhSkUCta6dWu2ePFilpOTY7S+pb9RNfXZoirDYhJSWSLGDJ7JIKQOfPvtt3jllVfw9ddfY/LkydY+nBoXHBwMAGYfVSSEEGIsJycHvr6+aNmyZZn9OAkhhBBbRX26Sa1JSkpC6e90EhIS8Omnn0IikVSoUjghhBD7oFKpkJOTYzRNq9Xif//7H/Lz86n/JSGEELtFfbpJrVm0aBEOHDiA7t27o169eoiPj8f+/fuRk5OD2bNnWxxblhBCiP25c+cOunXrhr59+yI0NBQ5OTk4ceIErl+/jubNm+sLNxFCCCH2hpJuUmsiIyNx/fp1HDhwABkZGZDJZGjVqhVef/11jBo1ytqHRwghpA41aNAAw4cPx7Fjx3Dw4EFoNBoEBgZi2rRp+Oijj8wOjUkIIYTYA+rTTQghhBBCCCGE1BLq000IIYQQQgghhNQSSroJIYQQQgghhJBaQkl3DWKMITs726RiNyGEEEIIIYSQRxMl3TUoJycHCoXCZEgUa6AvAISDYiEsFA9hoXgIC8VDWCgewkLxEBaKB7ElVEitBmVnZ0OhUCArKwvu7u7WPhxCCCGEEEIIIVZGLd12ijGGzMxM+vZPACgWwkLxEBaKh7BQPISF4iEsFA9hoXgQW0JJdymfffYZAgIC4ObmhrZt2wriUfGq4DgOSUlJ4DjO2ofyyKNYCAvFQ1goHsJC8RAWioewUDyEheJBbImDtQ9ASFatWoWDBw/i77//RkBAAK5evQqpVGrtwyKEEEIIIYQQYqMo6S6m1Woxf/58nDhxAoGBgQCAVq1aWfmoCCGEEEIIIYTYMpt9vDw3NxezZs1CZGQkvLy8IBKJsHHjRrPLqtVqfPDBB6hfvz6cnZ3RsWNH/PHHH0bL3L9/H3l5edi5cyd8fX3RuHFjrFu3rg7OpHaIRCLI5XKIRCJrH8ojj2IhLBQPYaF4CAvFQ1goHsJC8RAWigexJTabdKempmLu3Lm4ceMGWrduXeay48aNw7Jly/Diiy/iq6++gkQiwTPPPIOTJ0/ql0lISEBWVhZu376N2NhY/PTTT/jwww9x4sSJ2j6VWiEWixEQEACx2GZDbDcoFsJC8RAWioewUDyEheIhLBQPYaF4EFtis+9Sf39/JCYmIi4uDp9//rnF5c6dO4cff/wRCxcuxOeff45Jkybh8OHDCAoKwvvvv69fztnZGQAwc+ZMODs7o1WrVhg5ciR+/fXXWj+X2sBxHFJTU6m4hABQLISF4iEsFA9hoXgIC8VDWCgewkLxILbEZpNuJycn+Pn5lbvczp07IZFIMGnSJP00mUyGiRMn4vTp07h37x4AoFGjRpBKpUaPqNjy4yqMMaSmptIwCgJAsRAWioewUDyEheIhLBQPYaF4CAvFg9gSm026K+rSpUto1KgR3N3djaZ36NABAHD58mUAgFwux7BhwzB//nyo1WrcuHED27dvxzPPPFPXh0wIIYQQQgghxE7YffXyxMRE+Pv7m0zXTXvw4IF+2qpVqzBx4kQolUoolUrMmzcP3bt3t7httVoNtVqt/392djYAvhK6VqsFwLeWi8VicBxn9E2cpelisRgikcjidN12DacDMHm0hjEGxpjJ8hKJBIwxo+V1x2JpekWPvbbPydJ0oZ+TVqu1GA9bPaeyjl3o56SLh+53ezgnw+m2dk6G8bCXczI8dls7p4rEw9bOqazpQj+nsuJhq+dUlelCOaeqxEPo51SVYxfKORnGQwjnJJFIQIgldp905+fnw8nJyWS6TCbTz9fx8PDArl27KrzthQsXYs6cOSbTo6Ki4OrqCgBQKBTw9/fHw4cPkZWVpV9Gl9gnJCRApVLpp/v5+cHDwwOxsbEoLCzUT2/YsCFcXV0RFRVldFMJCQmBg4MD7ty5Y3QMYWFhkMvliIqK0j8mLxaL0ahRI6hUKty/f1+/rFQqRWhoKLKyspCUlKSfLpfLERAQgPT0dKSmpuqnW+ucIiIioNFoEBMTo59mC+fEGINcLgdjDHfv3rWLcwJsN06MMchkMohEIty9e9cuzgmw3TgxxuDo6AiRSGQ35wTYbpwYY/oPk/ZyToDtxkn3ha1IJLKbcwJsN06MMWg0GohEIrs5J8B248QYg1qthkgkEsQ5NWnSBIRYImJ20BHi/PnzaN++PTZs2IBx48YZzWvRogV8fX3x119/GU2/fv06mjdvjjVr1uDVV1+t0n7NtXTrLnDd4+xC/5bQ8FiE8C0hnROdE50TnROdE50TnROdE50TnZOtnRO1dJOy2H1Lt7+/PxISEkymJyYmAgDq169f5W07OTmZbUWXSCQmF57uBlJaZadbuqBLT+c4Dg8fPoSvr6/JtkQikdntWJpeU8de3XMqa7qQz4njOCQlJcHX19duzqmq04VwTlWNh6XpQjin8o6xstPr8pwM42Ev51SR6UI9p7L+dpS3HaGeU3WmW/ucqhMPoZ5TbUyvq3OqjXhY+5yqc4zWPqfS8RDSORFSmt0XUmvTpg1u376t72+tc/bsWf18e8QYQ1ZWltG3csQ6KBbCQvEQFoqHsFA8hIXiISwUD2GheBBbYvdJ97Bhw6DVarF27Vr9NLVajQ0bNqBjx44ICAiw4tERQgghhBBCCLFnNv14+cqVK5GZmamvQL5v3z59cYWpU6dCoVCgY8eOGD58OGbMmIHk5GSEh4fj+++/R2xsLNavX2/NwyeEEEIIIYQQYudsupBacHAw4uLizM6LiYlBcHAwAKCgoACffPIJtmzZgoyMDLRq1Qrz5s1D3759a/R4srOzoVAokJWVZTIueF3jOA7p6enw8vKy2A+F1A2KhbBQPISF4iEsFA9hoXgIC8VDOLQcw9noVEQnpiHU3xsdQ5WQiEXWPixCLLLppFtohJR0E0IIIYQQYm8OXkvEnH3XkZhVoJ/mr5Bh1sBmiGzhb8UjI8Qy+prOTnEch3v37pkMt0DqHsVCWCgewkLxEBaKh7BQPISF4mF9B68lYvKWi0YJNwAkZRVg8paLOHgt0UpHRkjZKOm2U4wxqFQqqugoABQLYaF4CAvFQ1goHsJC8RAWiod1aTmGOfuuw9yrr5s2Z991aDmKDxEemy6kRgghhBBCCLE/Gi2Hexn5iE7JRXSKCqej00xauA0xAIlZBTgXk47OYd51d6CEVAAl3YQQQgghhJA6xxhDuqoQ0akqxKSoEJXKJ9jRKbmIT89DkbbyrdbJOZYTc0KshZJuOyUWi+Hn50fVNQWAYiEsFA9hoXgIC8VDWCgewkLxqLqCIi3i0vL4VutUFZ9YFyfYWflFFteTOYoRonRFqI8cUokIv1x6UO6+6rnJavLQCakRlHTbKZFIBA8PD2sfBgHFQmgoHsJC8RAWioewUDyEheJRNsYYkrILihNqlf6x8OjUXNzPyIelrvAiEVBf4YxQHzlClXKE+vBJdqiPK/zdZRAXDwWm5RjORKcjKavAbL9uEQA/hQwdQrxq7RwJqSpKuu0Ux3GIjY1FcHAwfSNrZRQLYaF4CAvFQ1goHsJC8RAWigcvV61BjEFLtS7BjklVIa9Qa3E9N5kDn1ArjZPrEKUcMkdJufuViEWYNbAZJm+5CBFglHjrRuieNbAZjddNBImSbjvFGENhYSFV2BQAioWwUDyEheIhLBQPYaF4CMujFA8tx3A/I6/kUXCDVuuH2WqL60nEIgR5uSBEKde3VusSbKWrFCJR9RLiyBb+WD26nck43X40TjcROEq6CSGEEEIIeQRlqApNWqyjU1SIS8tDodbyeORKVylCla7GybWPHIFeLnCU1O5TAJEt/PF0Mz+ciUrBlTtxaBURhE5hPtTCTQSNkm5CCCGEEELslFqjRXxaqVbr4gQ7I89yETOpgxgh3rqkWo7Q4oJmoUpXKFwc6/AMTEnEInQK9Ya3Nh0Rod6UcBPBE7FH4RmZOpKdnQ2FQoGsrCy4u7tb9VgYY1CpVJDL5dV+lIdUD8VCWCgewkLxEBaKh7BQPIRFyPFgjCE5R21UFVyXXN9LzwNXxqf9+goZQgyT6uJHwht4OOuLmAmRkONBSGmUdNcgISXdhBBCCCHEvuQVahCjb7EuSbBjUlXIVWssrieXSkqqguuTa76ImYuUHnwlpLbRVWantFotoqKiEBYWBomk/IqQpPZQLISF4iEsFA9hoXgIC8VDWOoqHlqO4UFmvsmwW9EpKqPiYaWJRUCAl4vxsFtKV4T5yOHj5mR3rcF0fRBbQkm3HeM4ywUwSN2iWAgLxUNYKB7CQvEQFoqHMPBjRKfhyt0spIjSaqRwV1ZekUERs1x963VMmgqFGstx93RxNKoKHuojR5iPHIFeckgdHq2hzOj6ILaCkm5CCCGEEEIsOHgt0XiIquPJ8K/gEFVFWg7x6Xkmw25Fp6iQpiq0uJ5UIkaQt4vJsFuhSjk85dKaPD1CSB2gpJsQQgghhBAzDl5LxOQtF1G6AFJSVgEmb7mI1aPboW9zP6TmFhpVBdcNwRWfngdtGVXMfN2djAuY+cgRpnRFA09nqshNiB2hQmo1SEiF1BhjKCwshFQqtbs+PLaGYiEsFA9hoXgIC8VDWCge1qXlGLotPlxmP2pHiQhODmLkqrUWl3GRSorHs9a1WMsR5sOPcS13ovavqqLrg9gSutLtmIMDhVcoKBbCQvEQFoqHsFA8hIXiUbc4jiExuwDRKbn460ZymQk3ABRpGYq0WohEQENPZ6NW67DiRNvX3f6KmAkFXR/EVtA71U5xHIc7d+4gIiKCKjpaGcVCWCgewkLxEBaKh7BQPGpPTkGRSQGzqJRcxKapUFBUueJcM/o1wdguwZA5UozqEl0fxJZQ0k0IIYQQQuyORsvhXka+UQGzqOIEOzVXbXE9R4kIgV4u8HCR4kJcRrn7adXQgxJuQkiZKOkmhBBCCCE2iTGGdFWhUQGzqBQVYlJzEZ+ehyKt5dJFPm5O+qrgYT58X+sQpSsCPJ3hIBHr+3QnZRWYFFIDABEAP4UMHUK8au38CCH2gZJuQgghhBAiaAVFWsSl5ekrhEcVJ9gxqSpk5RdZXE/mKEaIUlcVnE+wQ5RyhPjI4S5zLHOfErEIswY2w+QtFyECjBJvXQ/tWQObUZVxQki5qHp5DRJa9XKO4yAWi6l4h5VRLISF4iEsFA9hoXgIy6MWD8YYkrIL9GNaRxUPuxWTmov7Gfmw9IlVJALqK5yNqoLripn5u8sgrmZSbDJON1DhcbpJ7XnUrg9i2yjprkFCS7ppGAVhoFgIC8VDWCgewkLxEBZ7jUeuWoMYoz7WJa3W+UWWh95ykznoq4Lrh+Dy4X+v7T7VWo7hXEwaHmSoUN9Tjg4h3tTCbWX2en0Q+0SPl9spjuMQExNDFR0FgGIhLBQPYaF4CAvFQ1hsOR5ajuF+Rp6+Knh0qkqfaD/MtlzETCIWIcjLRZ9Ml4xt7Qqlq/WSK4lYhA7BnrhTlIqI4IaUcAuALV8f5NFDSTchhBBCCKmSDFWhUVXw6JRcxKSqEJeWh0Kt5aG3lK5ShCqNHwUP9ZEj0MsFjhJxHZ4BIYTUPkq6CSGEEEKIRWqNFvFpecV9rEseBY9OyUVGnuUiZlIHMUK8dUm1HKHFBc1Cla5QuJRdxIwQQuwJJd12TCymb4qFgmIhLBQPYaF4CAvFQ1jqKh6MMSTnqPVVwXXjWsekqnAvPQ9cGRWA/BUy46S6+JHwBh7O1S5iJjR0fQgLxYPYCiqkVoOEVEiNEEIIIbaLL9yVjuScAtRz48eCrol+xHmFmuKE2riAWUyqCrlqjcX15FKJ/hHwkuSa73ftIqU2HEIIKQvdJe0UYwwqlQpyuZwqOloZxUJYKB7CQvEQFoqHMFR3iCotx/AgM99oLGvdY+GG2yxNLAICvFz0hct0CXaYjxw+bk6P/HuCrg9hoXgQW0JJt53iOA7379+nio4CQLEQFoqHsFA8hIXiYX0HryVi8paLKP0YYlJWASZvuYjVo9vpE++svCJEpeYaFTCLTlEhJk2FQo3lImaeLo5GVcH55FqOQG8XODlQ3C2h60NYKB7EllDSTQghhBAiAFqOYc6+6yYJNwD9tHe2/4tvT0QjJjUPaapCi9uSSsQI8nYx6mOta7n2lEtr5fgJIYSYR0k3IYQQQogVMcaQkqvGvn8flPn4NwDkF2lxPi5T/39fdyeTAmahPnI09HShsaQJIUQgKOm2UyKRCFKplPq4CADFQlgoHsJC8RAWikftyi/U6vtXx5QqZpZTRhGz0sZ0DsLwxwIQ4iOHqxN9lKsrdH0IC8WD2BKqXl6DqHo5IYQQ8mjjOIYHWflGY1lHF/e1TsjMt7ieSAQoXaVIybH8yLjOtlc6oXOYd00eNiGEkFpEX4/aKcYYsrKyoFAo6BtAK6NYCAvFQ1goHsJC8ai47IKi4tbqknGto1JyEZumQkGR5SJmCmdH42G3iouZBXm7wFEiRrfFh5GUVWC2X7cIgJ+CHz6M1D26PoSF4kFsCSXddorjOCQlJcHNzY0qOloZxUJYKB7CQvEQFoqHMY2Ww72MfP0j4NGpuYgqTrBTc9UW13OUiBDo5WJcwKz4dy952Y/DzhrYDJO3XIQIMEq8RQbzqa+2ddD1ISwUD2JLKOkmhBBCyCOLMYZ0VaFR/+qo4gQ7Pi0PGs5yLzwfNyejquC65DrA0xkOEnGVjieyhT9Wj25nMk63XyXG6SaEECIslHQTQgghxO4VFGkRl5an72MdlVIyvnV2geUiZjJHMUKUhi3WfIId4iOHu8yxVo41soU/nm7mhzNRKbhyJw6tIoLQKcyHWrgJIcRGUdJtp0QiEeRyOfVxEQCKhbBQPISF4iEsth4PxhiSsgv0yXRUcYXwmNRc3M/Ih6XSsSIRUF/hbNTHWtdq7e8ug9gKya5ELELnMCUCZWo0aKC0yjEQY7Z+fdgbigexJVS9vAZR9XJCCCGk9uWqNfoiZlHFCXZMKl8tPK9Qa3E9NyeHUuNZ88l1iFIOmSP1CSWEEFI7qKXbTnEch/T0dHh5eUEsrlq/MlIzKBbCQvEQFoqHsAgpHlqO4X5Gnr4qeEzxsFvRqbl4mG25iJlEXFzErFQBs1AfVyhdbWtMXyHFg1A8hIbiQWwJJd12ijGG1NRUeHp6WvtQHnkUC2GheAgLxUNYrBGPDFWhvsU6xqCYWVxaHgq1lofeUrpKEaI0LmAW6iNHoBc/9JY9oOtDWCgewkLxILaEkm5CCCGEQMsxnIlOw5XoHKRJ0mq0cJdao0V8Wl5xhXCVvphZdEouMvKKLK4ndRAjxNu4gJnuX4VL7RQxI4QQQmoaJd2EEELII+7gtUTjIaqOJ8O/kkNUMcaQnKM2fhS8OLm+l56HMkbegr9CZjLsVqhSjgYezlRAjBBCiM2jpNtOiUQiKBQKm+q7Zq8oFsJC8RAWiof1HbyWiMlbLqJ0TpyUVYDJWy5i9eh2Rol3XqHGIKnm+1hHFz8anqu2PPSWXCopqQquT675ImYuUvo4Yg5dH8JC8RAWigexJVS9vAZR9XJCCCG2RMsxdFt8uKSF2wx3mQMGtq6P2DQ+yS5rWbEICNAXMStJsMN85PBxc6IPx4QQQh5J9NWyneI4Dg8fPoSvry9VdLQyioWwUDyEheJhXUduJZeZRANAdoEGW8/GG03zdHE0GXYrzEeOAC8XODnQ0Fs1ha4PYaF4CAvFg9gSSrrtFGMMWVlZqFevnrUP5ZFHsRAWioewUDxqX5GWQ3x6Xkkfa4NHwtNUhRXaRu+m9dC3uZ8+0faUS2v5qAlA14fQUDyEheJBbAkl3YQQQoiNY4whNbfQqCo4n1yrEJ+eB21ZVcwqYGK3UHQO866hoyWEEEIeLZR0E0IIITaioEhrUhlc929OgeUiZi5SCT+mtf6RcDnCfFwR4OWCyC+PIymrwKSQGgCIAPgpZOgQ4lVr50QIIYTYO0q67ZRIJIJSqaSiNQJAsRAWioewUDxMcRxDYnZBSWu1PrlW4UFWPiyVPxWJgIaezkbDboUp5QjxkcPPXWbxNZ41sBkmb7kIEWCUeIsM5tfUeN2kcuj6EBaKh7BQPIgtoerlNYiqlxNCCKmonIIio/7V0SkqRKXkIjZNhYIizuJ6CmdHo2G3wnzkCFG6IsjbBTLHqhUxMxmnG6j0ON2EEEIIMY+S7hokpKSb4zgkJCSgQYMGVNHRyigWwkLxEBZ7j4dGy+FeRr5RAbOo4jGtU3LUFtdzlIgQ6OVSUhlc6YoQHzlClXJ4yaW10rKj5RjORqfiVlwiGgf5o2Ooklq4rczerw9bQ/EQFooHsSX0eLmdYoxBpVKBvlOxPoqFsFA8hMUe4sEYQ7qq0KiAGZ9Y5yI+PQ9FWsvn5uPmpB92K8yH72sdonRFgKczHCR1+yFSIhahY4gXvDRpiAjxooRbAOzh+rAnFA9hoXgQW0JJNyGEEFIBBUVaxKXl6ftYR6Xk6ouaZeUXWVxP5ihGiO5R8OIEO6S4r7W7zLEOz4AQQggh1kBJNyGEEFKMMYak7AJ9ATPdo+DRqbm4n1F2EbP6Cmd9VXC+xZpPsP3dZRBTqzEhhBDyyKKk206JxWL4+flRHxcBoFgIC8VDWKwVj1y1BjEGfayji1utY1JVyCvUWlzPTeagrwquexRcl2BXtYiZkND1ISwUD2GheAgLxYPYEiqkVoOEVEiNEEKETssxnItJR3JOAeq58WNB12Q/Yi3HcD8jT18VPDpVpU+0H2ZbLmLmINYVMSt5FFzX71rpWjtFzAghhBBiv6il205xHIfY2FgEBwfTN4BWRrEQFoqHMNTkEFUZqkKDFmu+gFl0igpxaXko1FoeekvpKjUY07qk1TrQywWOdVzETCjo+hAWioewUDyEheJBbAkl3XaKMYbCwkKq6CgAFAthoXhY38FriZi85SJKRyApqwCTt1zE6tHtTBJvtUaL+LQ8PrFOzS1useYfC8/Is1zEzMlBXNy3mh/XWv+7jysUzlTErDS6PoSF4iEsFA9hoXgQW0JJNyGEkDqj5Rjm7LtuknAD0E/76JdrSM5RIzY1j2+1TlXhXnoeuDI+V9VXyPRjWusKmIUq5Wjg4UxFzAghhBBiVZR0E0IIqTPnYtKNHik3J01ViJl7/jOZ7urkUNxiXfIouC7JdpHSnzNCCCGECBN9SrFTYrEYDRs2pD4uAkCxEBaKR93QcgwPMvP5AmYGw279l5BdofWb1XdH51Bv/WPhYT5y+Lg5URGzWkbXh7BQPISF4iEsFA9iS6h6eQ2i6uWEkEdNVl4RolJzjQqYRaeoEJOmQqHGchGz8mx7pRM6h3nX4JESQgghhFgHtXTbKa1Wi6ioKISFhUEisf2xY20ZxUJYKB6VV6TlEJeWpx/LOrq4mFl0igppqkKL60klYgQrXfgCZsWPhQd5yzF120UkZ6vN9usWAfBT8MOHkbpH14ewUDyEheIhLBQPYkso6bZjHFf1ViZSsygWwkLxMMUYQ0quuqSlWtdqnapCfHoetGVUMfNzlxlVBQ/1kSNM6YoGns5mx92e82xzTN5yESLAKPHWLTlrYLMaHa+bVA5dH8JC8RAWioewUDyIraCkmxBCHiH5hVp9/2rDYbeiU1TIUWssrucilRhVBQ/1kSPMhx+CS+5UuT8lkS38sXp0O5Nxuv2qOE43IYQQQoiQUdJNCCF2huMYHmTllxQwS8ktTq5VSMjMt7ieSAQ09HRGqL4yuCvCihNtX/eaLWIW2cIfTzfzw5moFFy5E4dWEUHoFOZDLdyEEEIIsTtUSK0GCamQGmMMhYWFkEqlVO3XyigWwmJP8cguKDIpYBaVkovYNBUKiiw/cqdwdtRXBedbrPnEOtDLBTLHuu0XZ0/xsAcUD2GheAgLxUNYKB7EllBLtx1zcKDwCgXFQlhsKR4aLYf49DyjAmZRxQl2aq7a4nqOEhECvVyM+ljrxrT2kgvrA4otxeNRQPEQFoqHsFA8hIXiQWwFvVPtFMdxuHPnDiIiIqiio5VRLIRFiPFgjCFNVVjyKHiKik+sU3MRn5YHTRlFzHzcnIr7WLsWt1jLEaJ0RYCnMxwkwh+7VIjxeJRRPISF4iEsFA9hoXgQW0JJNyGE1JGCIq1+6K3oVP5RcP6x8FxkF1guYiZzFCNE9yh4cYIdopQjxEcOd5ljHZ4BIYQQQgipLEq6CSGkBjHGkJhVoG+1jjKoEJ6QmQ9LVTREIqC+wtmoKriumJm/uwxiKjBGCCGEEGKTKOkmhDwytBzDmeg0XInOQZokrVrVsnPVmuIht3R9rHP11cLzi7QW13OTOZQMu6UsGdc6RCmv8yJmhBBCCCGk9lH18hoktOrlHMdBLBYLqmDSo4hiIQwHryWajAvtX8640Both4TMfH1VcMMxrZNzLBcxk4hFCPJyMWqt1iXYSldhFTGzNro+hIXiISwUD2GheAgLxYPYEkq6a5DQkm4aRkEYKBbWd/BaIiZvuYjSNztdND4f1gohPnJ9VXBdn+v4tDwUai0PvaV0lfKJtcG41qE+cgR6ucDRBoqYCQFdH8JC8RAWioewUDyEheJBbAk9Xm6nOI5DTEwMVXQUAIqFdWk5hjn7rpsk3AD006btvGJxfamDGCHeuhZrgwRb6QqFCxUxqy66PoSF4iEsFA9hoXgIC8WD2BJKugkhdoMxhuQctUFVcBUuxKcbPVJuiZfcEU393Y1brZVy1PdwrnK/b0IIIYQQQijpJoTYnLxCDZ9UG/Sxjk7NRUyKCqpCy0XMyjJrYHMMatOgho+UEEIIIYQ86ijptmNiMfUpFQqKReVpOYYHmfklrdapucXDcKnKbLkWi4AALxd94TKAYf3J2HL3V89NVnMHTyqFrg9hoXgIC8VDWCgewkLxILaCCqnVICEVUiPEVmTlFSEqNVdfwEyXWMekqVCosVzEzNPF0agqON/PWo5Abxc4OZT07dJyDN0WH0ZSVoHZft0iAH4KGU5+8CQ9Rk4IIYQQQmoctXTbKcYYVCoV5HI5VXS0MooFUKTlEJeWp68KrhvfOjpFhTRVocX1pBIxgrxdTIbdClXK4SmXVmjfErEIswY2w+QtFyECjBJvXTRmDWxGCbeV0PUhLBQPYaF4CAvFQ1goHsSWUNJtpziOw/3796miowA8KrFgjCElV823Uhv1tVYhPj0PWs7yQzW+7k4mBcxCfeRo6OlSI8lwZAt/rB7dzmScbr9yxukmte9RuT5sBcVDWCgewkLxEBaKB7EllHSbcfr0aXTt2hVz587Fxx9/bO3DIURQ8gu1iEk1SKwNEuwctcbiei5SCT+mtUFSHap0RYiPHK5OtX8rimzhj6eb+eFMVAqu3IlDq4ggdArzoRZuQgghhBBSqyjpLoXjOLzzzjto3769tQ+FEKvhOIYHWfn6/tUlybUKCZn5FtcTiYCGns5mW6393GVWf/xLIhahU6g3vLXpiAj1poSbEEIIIYTUOkq6S1m7di06duyIrKwsax9KtYhEIkilUqsnOUTYscguKDLqXx2dokJUSi5i01QoKLJcxEzh7KhvqQ71kSPMR44QpSuCvF0gcxT2I15CjsejiOIhLBQPYaF4CAvFQ1goHsSW2Gz18tzcXHz++ec4e/Yszp07h4yMDGzYsAHjxo0zWVatVmPmzJnYvHkzMjIy0KpVK3z66ad4+umnjZZLS0tD165dcebMGbz99tsIDw+v1OPlVL2cCJFGy+FeRr7ReNZRxQl2aq7a4nqOEhECvVz0lcHDih8FD1XK4SWnP3KEEEIIIYRUhM22dKempmLu3LkIDAxE69atcfToUYvLjhs3Djt37sTbb7+NiIgIbNy4Ec888wyOHDmCbt266Zf76KOP8Pbbb8PDw6P2T6CWMcaQlZUFhUJByZGV1UUsGGNIVxUa9a+OKk6w49PyoCmjiJmPm5O+KjjfYs3/HuDpDAeJ/Y1/SdeGsFA8hIXiISwUD2GheAgLxYPYEptNuv39/ZGYmAg/Pz+cP3/eYh/sc+fO4ccff8Tnn3+OadOmAQDGjBmDFi1a4P3338epU6cAAJcuXcI///yDVatW1dk51CaO45CUlAQ3Nzeq6GhFWo7VaOGugiKt0dBbUcUJdkyqCln5RRbXkzmKEaJ7FFwpL26x5luu3WWOVT4eW0TXhrBQPISF4iEsFA9hoXgIC8WD2BKbTbqdnJzg5+dX7nI7d+6ERCLBpEmT9NNkMhkmTpyIDz/8EPfu3UNAQACOHTuGW7duoUGDBgCArKwsODg4ICoqChs2bKi18yD26+C1ROMhqo4nw78CQ1QxxpCUXaAvYBZVPOxWTGou7mfkw1KHEJEIqK9wLu5j7VrcYs23Wvu7yyCmomGEEEIIIYTUOZtNuivq0qVLaNSokUkf6w4dOgAALl++jICAAEyaNAkjR47Uz3/rrbcQEhKC6dOn1+nxEvtw8FoiJm+5iNL5cVJWASZvuYjVo9uhW4SPvohZVHGCrRuKK69Qa3HbbjIH/lHw4qRa14IdopQLvogZIYQQQgghjxq7T7oTExPh72/aqqib9uDBAwCAi4sLXFxc9POdnZ3h6upaZv9utVoNtbqkEFV2djYAQKvVQqvlkyaRSASxWAyO42BYs87SdLFYDJFIZHG6bruG0wH+EZvSXFxcTKZLJBIwxoym647F0vSKHnttn5Ol6UI7J44Bs/f+Z5JwA9BPe33rRZTRzRoScXERM6ULQpR8Qh3m44qwem7wljtaPEbD15LiZP6cOI6Di4uLXZ2T4XRbOyfDeNjLORkeu62dU0XiYWvnVNZ0oZ9TWfGw1XOqynShnBPHcXB2dq5UPIR+TlU5dqGck2E8hHBO9Ig7KYvdJ935+flwcnIymS6TyfTzzdm4cWO52164cCHmzJljMj0qKgqurq4AAIVCAX9/fzx8+NBoGDKlUgmlUomEhASoVCr9dD8/P3h4eCA2NhaFhYX66Q0bNoSrqyuioqKMbiohISFwcHDAnTt3jI4hIiICvr6+iIqK0k8Ti8Vo1KgRVCoV7t+/r58ulUoRGhqKrKwsJCUl6afL5XIEBAQgPT0dqamp+unWPCeNRoOYmBjBnVN2gRb3s4ugErvi3L0cJGVbrgoOQJ9we8ulCFG6QCnVooHCEQ3dpQj0dEKPds2gzs8zOKcCSEUcfNyUyMzMpDjVwDmJxWLcvn3brs7JluMkFosRHR1tV+dky3ESi8W4d++eXZ2TLcdJLBYjMTHRrs7JluMkFouRmppqV+dky3ESi8WC+GzUpEkTEGKJzQ4ZZkhXSM3ckGEtWrSAr68v/vrrL6Pp169fR/PmzbFmzRq8+uqrVdqvuZZu3QWue5zdmi3d6enp8PDw0C8DPBrffNbWORUUaRGfnofoFBVi0/IQo6sUnqpCRp7lImaWLBjcHC90DKrUOeXl5SElJQUajaZGzske41SRlu7s7Gx4enqi9O3PVs/JcLq14+Tg4AA/Pz84OztXuGU1MzMT3t7eACCIc+I4Dg8fPjT6gGVvcbI03fD6AMzHw9bOqazpQj4nkUgEd3d3aDQaKJVKALD5c6rqdKGcE8dxyMjIqFQ8hH5OVTl2oZyTYTx0+7XmOVFLNymL3bd0+/v7IyEhwWR6YmIiAKB+/fpV3raTk5PZVnSJRGJy4RkmvtWZbumCLj1dq9UiLS0NXl5eJvNEIpHZ7ViaXlPHXt1zKmt6TZ2TSCRCSm6hUVVwXWJ9Lz2vzEfC6ytkCPVxhYtUgt+vP7S8YLEQHzeIRKIKndOlS5fwzTdrceHiBbNfsJBKYEBRUREcHR0Bqi1XK2QyGbp364633nrTbPee0tefpXuVTl3dI3JycvDdd9/h9OnTRi0djxLGGNRqNZycnPT3J2I9jDHUq1cPL7/8Mrp06WJ2GVv+m2uLnyPS09Ph7e1tcdu2eE5VPUYhnJMuHmKxWFDnREhpdp90t2nTBkeOHEF2drZRMbWzZ8/q55NHT16hhq8OnqrSFzPTJdm5ao3F9VydHPRFy0KLC5jp/u8i5S8nLcfQbfFhJGUVmO3XLQLgp5ChQ4hXhY710qVLmPLGGwgKDsXb06YjODiEbvLVwBiDulANJyklFbWhsLAQ/127it0//4RJr76K79avh4+Pj7UPq1x5eXn45JNPkJycjAEDBqBFixaPZOLJGENeXp6+HzGxHo7jkJiYiIMHD2LhwoWYPn06unbtau3DIoQQUgV2n3QPGzYMS5Yswdq1a/XjdKvVamzYsAEdO3ZEQECAlY+Q1BYtx/AgMx9RxVXBow2Sa/0wXmaIRUCgl0vxkFvFibXSFWE+cvi4lf8hXCIWYdbAZpi85SJEgFHirVtz1sBmFR6ve+3adQgKDsXKNd+afbKCVA5jDAXqAsicZJRU1JJ2jz2OPn37Ydzo5/Hzzz9XuQtPXfr7778RHR2NL7/8EqGhodY+HKthjEGlUkEul9P1IQBNmzZF+/bt8cUXX2Dz5s3o0qULxYUQQmyQTSfdK1euRGZmpr4C+b59+/TFFaZOnQqFQoGOHTti+PDhmDFjBpKTkxEeHo7vv/8esbGxWL9+vTUPv1aJRCIoFIpH4o9zVl4RolJzjVqso1NUiElToVBj+VFsL7kUocWVwXXJdZiPHIFeckgdzD9GVFGRLfyxenQ743G6wbdwlzdOtyGVSoXzF87j7fc+oIS7poiKHwez/0vDqnz9/NCtR08cPXaszKRbKPeq06dPo3nz5o90wq3j4GDTHw3sjlQqxTPPPIO5c+ciISEBDRs2tPYhPbKEcr8iPIoHsSU2/Zd1yZIliIuL0///559/xs8//wwAGD16NBQKBQBg06ZN+OSTT7B582ZkZGSgVatW2L9/P3r06GGV464LYrHYbF9KW1Wk5RBnWLzMIMFOUxVaXE8qESNYadBqXfxvmI8cHi7SWj3myBb+eLqZH87FpCM5pwD13PhHyivawg3wfV05jkNQcEgtHumjRQQRpI61G3vCCwwKxtnTJ8tcRij3qrS0NDRu3Njah2F1IpFIP7oHsT5dPAIDAwEAqamplHRbkVDuVwQAp4U47hT8cx8CBb5AUBdATF3viHDZdNIdGxtboeVkMhk+//xzfP7557V7QAKiq77r6+trsfiD0DDGkJKrNi5gVtzvOj49D9oyqpj5ucuKE2uDVmulKxp4Olcqya1pErEIHUM8i2PhCXElj0VXFbOqfbhPHAOe6QPcewiUMeS8kQXzgP17gVP/VGmXghEXC7RoDPx9DmjVumQ6A9MXUhPVYnP3lk3A9GnA/eRa24XgOTg4mFSrLU0o9yqO46rcwnv06FH06tULGRkZ8KjghTZ79mzs3r0bly9frtI+a0tlC6nFxsYiJCQEly5dskqNlKq89rZEFw/dtVHe9URql1DuV4+863uBgx8A2Q9KprnXByIXA82etd5xEVIGm066iWWMMWRlZaFevXrWPhQT+YVaxKQaVwbXJdg5ZRQxc5FKSrVYyxHm44oQpRxyJ+G+lWs7FmfPAH16Ab37ALv21MouasSrLwM/bDad3vtp4Jf91d92Vibw484KLMz4D66ODuarl/d7Gjh53HjahJeBr1ZZ3mTzRsDrbwBT3iyZNnQ40DeyIkdfe2wh8RfyvcrQ6dOn0a1bN0RGRuLAgQPWPhyLxo0bh++//95ket++fXHw4MEKbUOj0ZjtzjJu3DhkZmZi9+7d1T1MrF27Fj/88AMuXryInJycCiXNPXv2RJs2bfDll1/qp3Xp0gWJiYn6J9usobYTf8MhIol12cr9yq5d3wvsGAOULlWbnchPH7GJEm8iSMLNVIhN4ziGB1n5JQXM9Mm1CgmZ+RbXE4uAhp4uRq3WYcWJtq/7o1dJuCI2bQRee53/N/EB4F/1UfBq3dN9gNXrjKdJq9FVXasFauMtMW4C8PGskv87u1R+G87O/A+xD+vXr8fUqVOxfv16PHjwoFrDTda2yMhIbNiwwWhadWpCaLXaGr/35uXlITIyEpGRkZgxY0aVtyOVSuHn51eDR0YIESxOC/z2PkwSbqB4mgg4OB1o0p8eNSeCQ8/GkGrJLijCv/cy8cul+1j6+y1M2XoRkV8eR7NZB9Ft8RG8tP4cZu39D9+fjsOJO6n6hFvh7Ii2gR4Y2q4h/te3MdaMboff3+mB63Mjcfz9Xvh+QgfMGtgcL3UKQpdwJfwUVGnanNxc4OefgImTgL79gC1mWpINbdkENKwH7NsDtGkGKN2Bwf2B+/dMl922lW/BbeADjBsN5OSUzPvjEPB0L35bgf7AsMFAdFT5xyt1Anz9jH88PUvmr/gS6NgO8PUEmoQB70zlz7H08R/YBzzeGvB2AyZP4lvQD+wD3Jz4nxPHStaJieEfsa/nAXR+nH8yoDwuLsbHaDDaoIl+TwPxccD0/5Xs3/BYdRbMA7q0578caRoO+Hnx56fVAl8sAcICgZCGwOeLjLefmQlMeQ0IbgDUVwL9+wJXr5TMv3qFPz9/b35+907AxQv8azD5FSArq+S4Fszj11GrgQ8/ABqF8K91r27Gr1lF3ieW9muPcnNzsX37dkyePBn9+/fHxo0by1x+48aN8PDwwO7duxEREQGZTIa+ffvi3j3TC23z5s0IDg6GQqHAyJEjkWNwoR08eBDdunWDh4cHvL29MWDAAERFlX+hOTk5wc/Pz+jH0+BCW7ZsGVq2bAm5XI6AgAC8/vrryDW40LZs2QJPT0/s3bsXzZo1g5OTEyZMmIDvv/8ee/bsgUgkgkgkwtGjR/XrREdHo1evXnBxcUHr1q1x+vTpMo/x7bffxvTp09GpU6dyzwfgW9mPHTuGr776Sr//2NhYHD16FCKRCJmZmQBKXvv9+/ejcePGcHFxwbBhw5CXl4fvv/8ewcHB8PT0xJtvvmn0qLZarca0adPQoEEDyOVydOzY0ej84uLiMHDgQHh6ekIul6N58+b49ddfERsbi169egEAPD09IRKJMG7cOAD8o8gLFy5ESEgInJ2d0bp1a+zcWfI4ju7YDxw4gFatWkEmk6FTp064du1ahV4TQuwWY0BWAhB9FDi3DvjtA2DLUGBpUyAnsawVgewEIO5UXR0pIRVGLd12SMsxnI1JR3QKkO6Qjo6hymr1a9ZoOdzLyDcqYBZVXCE8NVdtcT1HiQiBXi5Gfax1rdde8kenkJVIJIJSqayVLw1+3gk0asz/PP8C/yjxtPfLbv3NywOWLAa++Q6QSoF33wTGvQT8ebRkmZhovl/3T78AGRnA2BeBZZ8Ds+aWbOONt4AWLQCVCvh0DjBqBN8PvDrd3MRi4PNlQFAwEBsDvPMm8MkM4IsVxsf/xVJg5RrAywvw8wcK8oGc7JJWdE8vvtUfAObOBOYvAsLCgbmzgIljgfNXHMqsXr79R+DHbYCvL9CvP/DBh3wibs7W7XwyPX4i30Jelpho/guLX/bxX1K89AJ/nuERwG9/8F8IvD4J6Pkk0L4Dv86YFwCZM/DzXj75/+5bYEAkcOkaf/4TxwKt2wBfLAckEj4ZdnQEOnYGFi8B5s8FLl7ltyV35f99723g5g1gw2bA359ProcMBM5c4I9F9zqX9T6xtN/Kqs3ro6bs2LEDTZo0QePGjTF69Gi8/fbbmDFjRpnHnJeXh/nz52PTpk2QSqV4/fXXMXLkSPz999/6ZaKiorB7927s378fGRkZGDFiBBYtWoT58+cD4EcvePfdd9GqVSvk5uZi5syZGDJkCC5fvlyt/qRisRjLly9HSEgIoqOj8frrr+P999/H119/DYDvi5+Xl4fFixfj22+/hbe3N/z9/ZGfn4/s7Gx9K7qXl5d+9JCPPvoIS5YsQUREBD766CO88MILuHv3bo1VQv/qq69w+/ZttGjRAnPn8jciHx8fs7Vd8vLysHz5cvz444/IycnBc889hyFDhsDDwwO//voroqOjMXToUHTt2hXPP/88AOCNN97A9evX8eOPP6J+/fr45ZdfEBkZiatXryIiIgJTpkxBYWEhjh8/DrlcjuvXr8PV1RUBAQHYtWsXhg4dilu3bsHd3R3OxY+4LFy4EFu2bMGaNWsQERGB48ePY/To0fDx8cETTzyhP97//e9/+Oqrr+Dn54cPP/wQAwcOxO3bt+FYfEFJpVLk51t+QozUHVu4X9kUdQ6QdhdIvQuk3QFS7/D/T4sCilRV327uw5o7RkJqCCXddubgtcRSw1RFwb8Cw1QxxpCmKjQqYBZVnGDHp+VBU0YRMx83J6Oq4LpxrRt6OsNBQg9TiMViKJXKWtn2po18sg0AT/flW31PHge6P2F5naIiYMmXJUndmm/5VuPz/wCPt+encRw/3c2N///IUcDRI4DuietBQ4y3+fVaIKQBn8g1a2553wd/5Vt4Db33AfC/D/jfDftEBwUDM+cAb71hnHQXFfGJXstWJdNkznzrra+Zp0zffAeIfIb//aOZQPs2IsTHOqJxE/PHOPx5IDCQf0z/2lVg5kfAndvADzvML+/lxSedrq7m92+I4/jXys0NaNIU6PEEv+1de/kvHBo15lu9jx/j43Pqb+DCeSD6PqB7OnjBYuDAXmD3z3xf8/v3gLfehf58dEkzALgr+C9gDI/rXjyw5Xvgxt2SrghvvQv8+Tvfwj17XsnrXNb7pKz9VkZtXh81Zf369Rg9ejQA/tHtrKwsHDt2DD179rS4TlFREVauXImOHTsCAL7//ns0bdoU586dQ4cO/IvKcRw2btwIt+IL7aWXXsJff/2lT7qHDh1qtM3vvvsOPj4+uH79Olq0aGFx3/v374erq6vRtA8//BAffvghAL6VWSc4OBiffvopXnvtNXz99dcQiURwcHBAUVERvv76a7RuXVKF0NnZGWq12uzj3NOmTUP//v0BAHPmzEHz5s1x9+5dNGli4UKrJIVCAalUChcXl3IfJy8qKsLq1asRFhYGABg2bBg2b96Mhw8fwtXVFc2aNUOvXr1w5MgRPP/884iPj8eGDRsQHx+v7zYwbdo0HDx4EBs2bMCCBQsQHx+PoUOHomXLlgBgNLSclxd/U6tXr56+T7darcaCBQvw559/onPnzvp1Tp48iW+++cYo6Z41axaefvppAPz7pGHDhvjll18wYsQIiEQiSKVSSvIEwhbuV4LDaYHMODOJ9d2yW63FDoBnMOAdASjDAe9woDAfODS9/H26+tbY4RNSUyjptiMHryVi8paLJj1dkrIKMHnLRawe3Q49G9dDXFqevo91lK71OiUX2QWWi7XIHMUIUeparEsqhIco5XCTVaF56xHCcRwSEhLQoEGDGq12evsWcOEfYFtxMujgAAwdxifiZSXdDg7AY4+X/L9xE76y+a2bJUl3YFBJwg0Afn5AqkExrrt3+BbU8+eAtDQ+mQT4hK6spLvHE8YJNMC3Susc+QtY+hlw+zbfcq3RAAUFfKurrqVZKgVatLS8j9IMl9Uln4kPitCoiYPZ6uUTXi75vXkL/twHRPIt06FhFd+vOaVfVx9fvtuZ4duini+QUvxaX7vCP14fVOr7svx8vtUc4J84eOM14MetQM+ngCHPlX2c/13jH2lvWypnU6sBL++S/5f3Pqnsfi2preujpty6dQvnzp3DL7/8AoBvBX7++eexfv36MpNuBwcHtG/fXv//Jk2awMPDAzdu3NAn3cHBwfqEGwD8/f2RnFxyod25cwczZ87E2bNnkZqaCq74QouPjy8z6e7VqxdWr15tNE2XGALAn3/+iYULF+LmzZvIzs6GRqNBQUEB8vLy4OzsjMLCQkilUrRq1ar0pi0yXFY3pFJycnKNJd2V4eLiok+4AcDX1xfBwcFGX0T4+vrqX+urV69Cq9WiUaNGRttRq9Xw9uYvijfffBOTJ0/G77//jt69e2Po0KFlvj53795FXl6ePpnWKSwsRNu2bY2m6ZJygI9T48aNcePGDQD8F+IFBQVgzPIX36TuCP1+ZVV56cUJdanEOj0a0Foe2hVyH4PEOoJPrpURfMItKfX5ktMCp5fzRdPM9usW8VXMg7rU4IkRUjMo6bYTWo5hzr7rFktLAMCUrRehLePvtkgE1Fc466uC61qsQ33k8HOXVXq4K8JjjEGlUtX4h6ZNG/mkNCLYcF98i+iSL4HqFPMt/ZiwSAQYPuww4jm+NXjFav7xbsaADm2BwjL+rgKAi5x/zNucuFhg+BDg5UnAzLl8X+/Tp4Apr/Lb1SXdzs6VK55meC669TRaTl9zpTyPF7f01kTSbe51NTeNFX+JkaviX99ffzfdlsKD//fDT/jW+UO/8Y+uL5gLbNgCPDvI/DGoVHzL/PHT/L+GSjWOlqmy+7Wktq6PmrJ+/XpoNBqjwmmMMTg5OWHlypXVqprtWCr4IpFIn1gDwMCBAxEUFIR169ahfv364DgOLVq0QGE5F5pcLkd4uPkLLTY2FgMGDMDkyZMxf/58eHl54eTJk5g4cSIKCwvh7OwMjuPg7OxcqdZVw3PRrWd4LnXJ3Ota1mudm5sLiUSCCxcumAzPqEvUX375ZfTt2xcHDhzA77//joULF2Lp0qWYOnWq2WPQ9ZE/cOAAGjRoYDSvskXtaJgw4RD6/arWadRAeoxBYh1V8nt+uuX1HGSAV5hpYu0dDjh7VHz/Ygk/LNiOMeD/gBvGofh+FbmIiqgRQaKk206ci0k3eKTcPF3C7SZzMKgKXtJqHewth8yRblS2QKPhC50tWAw8ZdyQgheGATu388XVLK178UJJq/btW3yxLkuPW5eWlsY/Er1iNdC1Gz/t1N9lr1MRly/xLeYLPitp+f1lV8XWlTryrbe14cq//L9+lntnwLGW9t+mDfAwiW91Dgq2vFxEI/7njbeA8S/xj48/O4h/KqD0cbVqzU9LSSmJnzkVeZ9Y2q+90Gg02LRpE5YuXYo+ffoYzRs8eDC2bduG1157zeK658+f17dq37p1C5mZmWjatGmF9p2WloZbt25h3bp16N69OwDg5MmT1Tgb3oULF8BxHJYuXapvqduxw0LfiVKkUqlVE8Da2n/btm2h1WqRnJysf63NCQgIwGuvvYbXXnsNM2bMwLp16zB16lRIpXyNEsNj0xWgi4+PN3qU3JwzZ84gMDAQAJCRkYHbt29X+H1CSI1jDMhJMm2xTr3DPybOyvgyzb1hqcS6+HdFQPUKvhhq9iw/LJjZcboX0XBhRLAo6bYTyTllJ9w6nw5ugRc7BlL/MBv32wEgMwMYM960RfvZIXwruKWk29ER+N87wGfL+GTuvbeB9h1LkqvyeHryjyFvXM8/en3/HjDr44qtW6jmk0hDEgdAqeRbkYuKgDWr+OJlZ04D69eZ305pgcHAX3/yiaGXd9Vb+aOjgJ+2A30i+b7a164CM/4HdO1e9iPtQUHA3yeBYSP4Cu011eWv11NAh07AC8OBeQv4ftOJiXzr8sBBQNNmwMfTgcHP8Ul5QgJw8Tz/HgD4x9lzc4Gjh4EWrfinBSIa8XUAXp0AzP8MaN0aSE3l++y3aFHS/72s90l+ftn7tRe6AmcTJ040adEeOnQo1q9fbzHpdnR0xNSpU7F8+XI4ODjgjTfeQKdOnfRJeHk8PT3h7e2NtWvXwt/fH/Hx8Zg+vQJ9GcE/Fp2UZHyhOTg4QKlUIjw8HEVFRVixYgUGDhyIv//+G2vWrKnQdoODg3Ho0CHcunUL3t7e1WrlT0pKQlJSEu7evQuAf8Tbzc0NgYGBRo/Cl97/2bNnERsbC1dXV4vLVVajRo3w4osvYsyYMVi6dCnatm2LlJQU/PXXX2jVqhX69++Pt99+G/369UOjRo2QkZGBI0eO6BPjoKAgiEQi7N+/H8888wycnZ3h5uaGadOm4Z133gHHcejWrRuysrLw999/w93dHWPHjtXvf+7cufD29oavry8++ugjKJVKDB48uEbOjRCLClUlybRhYp0WBRTmWF5P6mY+sfYOA6Tyujn2Zs8CTfpDG3MSSXcvwy+8DSQh3aiFmwgaJd12op6brELLhfm4UsJdx8RiMfz8/Gq0/9emjXyFa3OfeQcNAb5cyieM5ri4AG9PAyaOAR48ALp0BVZ9U/F9i8XAxs3A/97lh/eKaMRXHO/3dPnr/vE7EB5kPC2iEV9du2UrYOFnfGXy2Z/wrbCz5wGTyqkIDvBVw08eA57owieZv/7OJ5yWODiYr14ulQJHDgOrVgB5KqBhQz6RfL+cYYQ/mgW8NQVo1ZTvG51juah/pYhEwK49fAX2yZOA1BS+X3rXbkC9evzj4enpwKSJQPJDwFvJtzR/NJNfv1NnYOIrwNjRQHoaMONj/rHw1euAzxYCH73Pvwe8lXzBtH7PlOy7rPdJefutjNq4PmrK+vXr0bt3b7PJ5dChQ/HZZ5/hypUrZtbk+xV/8MEHGDVqFBISEtC9e3esX7++wvsWi8X48ccf8eabb6JFixZo3Lgxli9fXmY/cp2DBw/q+1XrNG7cGDdv3kTr1q2xbNkyLF68GDNmzECPHj2wcOFCjBkzRr9s6UexdV555RUcPXoUjz/+OHJzc3HkyBEEBwdX+JwMrVmzBnPmzNH/v0ePHgCADRs26IfcKm3atGkYO3YsmjVrhvz8fMTExFRp3+Zs2LABn376Kd577z0kJCRAqVSiU6dOGDBgAAC+FXvKlCm4f/8+3N3dERkZiS+++AIA0KBBA8yZMwfTp0/H+PHjMWbMGGzcuBHz5s2Dj48PFi5ciOjoaHh4eKBdu3b6gnY6ixYtwltvvYU7d+6gTZs22Ldvn771HOAfR6fq5cIg5PuVWZwWyLpXUsTMMMnOTrC8nkgCeAaZJtbKCL5ImRA+R4olEIf2gNy7NcQKhTCOiZAyiNgj2zGl5mVnZ0OhUCArKwvuZQ3sWwu0HEO3xYeRlFVgqbQE/BQynPzgyWoNH0bqVkxMDIYNH46Va9ajZavW5a9Qji2b+GHF7ieXvyx5dNXU+2Tb1s3Y8v16HDMY71iopk6dipYtW2LSJAuPiFTCxo0b8fbbb+vHjibEnKNHj6JXr17IyMjQVz23JDU1FePHj8fs2bPx2GOP1c0BEtuRn2E+sU6LArRlfAvs4m1cHVyXWHuGAA6PztCuhNQFaum2ExKxCLMGNsPkLRctlZbArIHNKOG2Ao7jEBsbi+DgYNv5dtyOMTAUqgshdZKarV5O6hZdH8LCGENeXh5cXFzoqSgB0MWD2keEwar3K21RSREzw8Q69Q6Ql2p5PYnUoIiZQWLtHQ641EwXDWuhvx/EllDSbUciW/hj9eh2pcbp5lu4yxunm9QexhgKCwvpQ5NQMIBjFa9eTmoXXR/CQ7EQFoqHcNT6/YoxIDfZfBGzjFiAlVFI0K2++cTaI9Bu+zrT3w9iSyjptjORLfzxdDM/nIlKwZU7cWgVEYROYT7Uwk0AAKPH8D+ElIXeJ9Uzbtw4i/2SCdHp2bMnJQu2hNMCsSfhFncZcHwIVKdwV2EekB5lOuxW2l1AnW15PUe5+cTaOxxwqsSYj4SQOkdJtx2SiEXoFOoNb206IkK9KeEmhBBCCKmq63uBgx9Akv0ADQDgNIqHqFpseYgqjgOy75tPrLPuWd6XSMy3TpsrYubmTwXDCLFRlHTbKbFYjIYNG1IfFwGgWAiMCJA6SunRcoGg60N4ZLKKjYZB6oZMJqPq5dZ0fS+wYwxQukxtdiI/fcgaPilOu1vqsfAoQFNG3GQexS3VEcaJtWcI4EjXYEXQ3w9iS+hdaqdEIhFcXWl4MCGorVicPAEMHwJEBANuTsC+PRVbb+1q4LFWgI8CaNsC+GGL6TK/7ALatQSU7vywYId+M13m5g1gxHNAAx/A15MfrutevPl9Nm/EH6Oln1df5pcznObhAjQNB6b/jx+Gq6aIIIJEIqEiagIh9HvV6tWr0apVK7i7u8Pd3R2dO3fGb78ZXxBJSUl46aWX4OfnB7lcjnbt2mHXrl1Gy8yfPx9dunSBi4tLuZWqY2NjIRKJyvzZuHEjjh49ajTN2dkZzZs3x9q1a6t8viKRCA4ODoKNx6OG4mFlnBY4+AFMEm6geBoDfnkV+PZJ4JdJwPHPgeu7gYfX+IRb7AgoGwON+wNd3wKeXQlMOAT8LxqYHge8/CcwZDXQ/T2+xbxeU0q4K0Hofz8IMUQt3XZKq9UiKioKYWFhkEjss4CGraitWOSp+LGtXxoHvDiiYut8+w0/BvaK1UC7x4AL54GpkwEPD+AZfjhanDkNjH+JHyM78hngp+3AC8OBk2eBZs35ZaKjgD5PAmPG8WMzu7kBN64DlhrIjv7Nf3YBgDNngNHP82Nz60bWkzmXLLt6HfB0H6CoCLh6hR+fWi4HPpldudfHEsYY1Go1nJyc6A+1AAj9XtWwYUMsWrQIERERYIzh+++/x6BBg3Dp0iU0b85fEGPGjEFmZib27t0LpVKJH374ASNGjMD58+fRtm1bAEBhYSGGDx+Ozp07lzted0BAABITE/X/X7JkCQ4ePIg///xTP02hUODs2bMAgFu3bsHd3R35+fnYt28fJk+ejLCwMDz11FOVPl/GGFQqFeRyOV0fAqCLB/X9rgOMAapU4xbre2eB7AflryvzBHybG7dYe4cDHkGAhD5q1xah//0gxBDdCewYx3HWPgRSrDZi0SeS/6mMbT8A418Ghg7n/x8SyifeXywtSbpXrwR69wHefo///yezgcN/Ad98DXy1ip82dxbQNxL4dGHJtkPDLO/Xx6fkdy/P4mn1+GS/NIUC8PXjf28YAPQfCFy+VLnzLA8z22pBrEXI96qBAwca/X/+/PlYvXo1zpw5o0+6T506hdWrV6NDhw4AgI8//hhffPEFLly4oE+658yZA4Afw7s8EokEfn5++v+7urrCwcHBaJqhevXq6VvP33zzTSxfvhwXL16sUtJNiN0rKgDSo40fBU+9w/+/IKtq2+y/BGg5rGaPk1SIkP9+EGKIkm5CHiGFatPWaGdn4MI/fMuyoyNw7izwxpvGy/R+Gti/l/+d4/jHzd9+DxjcH/j3XyA4GHj3f8DAQTV7vHduA8ePAC9SJW27VVgI/PWXK4KC+PeikGm1Wvz0009QqVTo3LmzfnqXLl2wfft29O/fHx4eHtixYwcKCgrQs2fPOj0+xhgOHTqE+Ph4dOzYsU73TYigMAZkJ5iOZ512B8i8B/OPiwOACFAElLRYi0TA2TXl78/VtyaPnhBihyjpJuQR8tTTwPcbgAHPAm3aApcu8v8vKgLSUgE/f+BhElCv1OeHevWAhw/531OSgdxcYNnnfCv43AXAH78DLz4P/Po70K1H9Y5xwhhAIgE0Gr4vd+QzwHvvV2+bRJgKC4GRI8XYu7chfv+d4aefAKnU2kdl6urVq+jcuTMKCgrg6uqKX375Bc2aNdPP37FjB55//nl4e3vDwcEBLi4u+OWXXxAeHl4nx9ewYUMAgFqtBsdxmDt3Lnr0qOaFSIgtUOcUJ9SGRcyKq4UX5Vlez0lh8Ci4wSPhXqGAo8G3f5wWuLGXL5pmNlEX8VXMg7rU9JkRQuwMJd12SiwWIyQkhCo6CoCQYvHBh3zy/GR3viGgni8wajTw5VKgooene5Kr/0Dgjbf431u1Bs6eBtavq37SvehzoOeTgFbL9x2f8T7wynhgo5mCb1UiApycnKh6uZUVFgIjRgD79/P/37+f//+OHcJLvBs3bozLly8jKysLO3fuxNixY3Hs2DF94v3JJ58gMzMTf/75J5RKJXbv3o0RI0bgxIkTaNmyZa0f34kTJ+Dm5ga1Wo1z587hjTfegJeXFyZPnlyl7TkL/ZGDR4yzs/OjXb1cqwEy40yH3Uq9A+QmWV5P7AB4Bpsm1t7hgNynYkNviSX8sGA7xoD/o2GYeBevH7mo6uN1k2oR0ucrQspDSbcdc3Cg8AqFUGLh7AysXgssXwUkP+Rbtjd8yxdCUxb3u/b14+cZSk4GfItbv72VgIMD0KSp8TKNmwCnT1X/GOv5AmHFDYSNGvOt6uNf4lvVw2qo4ZAql1uXLuHetw/gOD4WHCfCvn3CTLylUqm+1fqxxx7DP//8g6+++grffPMNoqKisHLlSly7dk3fx7t169Y4ceIEVq1ahTVrKvBoajWFhITo+3Q3b94cZ8+exfz586ucdNMHWGF5ZOKRl17SUm2YWGfEANpCy+vJfcwn1p7BgMSx+sfV7FlgxCa+irlhUTX3+nzCbWmcblInhPL5ipDy0DvVTnEchzt37iAiIoIqOlqZEGPh6Ag04J9Ixc6f+Ee4dZ/rOnQEjh4Bphj06z78Fz8d4JOhdo/z/a0N3b0DBAbW/LHqXrKCghraIAMK1AWQOcmotbuWpaUB8fH8Fyeurvw044TbeHmOg2ATb0Mcx0FdPI5dXh7/CGvpxEgikVitwI9EIqlWy6iuejkRBpVKZe1DqDkaNZAeY76IWX6G5fUcZIBXmGli7R0OOHvU/nE3exZo0h/amJNIunsZfuFtIAnpRi3cVibEz1eEWEJJNyE2KjeXf/xaJy4WuPIv4OkJBFhIfu/c5quVP94eyMwEVn4FXP8P+ObbkmUmvwH06w0s/wLo2w/Y9RNw6QKw4uuSZd56Fxj3ItClG9DjCeDP34HfDgC//lH988rK4vuVcxwQdRdYNB8Ij+Bb0oltkcn4WgFt2wKbNwPt2llOuHWElnjPmDED/fr1Q2BgIHJycvDDDz/g6NGjOHToEACgSZMmCA8Px6uvvoolS5bA29sbu3fvxh9//IH9umfnAcTHxyM9PR3x8fHQarW4fPkyACA8PByuum8kqig5ORkFBQX6x8s3b96MYcOokjKxEsaAnCTziXVmPMDK+DLKvWGpxDqM/10RUPE+ULVFLAGCuyGnyBd+wRGUcBNCKoWSbkJs1KULwDN9Sv4/o7jY2KiXSpLoBfOArZuB/4pbpbVaYMWXfPLt6Ah0fwL48ygQFFyynU6dge828cOCzZnJP9K97aeSMboB4NlBwJcrgWWfAe+/C0Q0Arb8CHTpWv3zmvwK/69IxD/q3rUbMGsu/0g7sS1yOaCrN9alCxARAdy9aznh1hFS4p2cnIwxY8YgMTERCoUCrVq1wqFDh/D0008DABwdHfHrr79i+vTpGDhwIHJzcxEeHo7vv/8ezzzzjH47M2fOxPfff6//v24osSNHjlS7ynnjxo0B8I9ZBgQE4NVXX8Xs2bOrtU1CylWoMl8dPC0KKMy1vJ7UrSSx9g43+D0MkNITFoQQ+0QfYwmxUd2fAHLUZS8TG2tc2KxJU+Dvc+Vve8hQ/qcsY8bxP5VV1nGXdz7E9jjJgN9+5Vu5b92q+HpCSbzXr19f7jIRERHYtWtXmcts3LixQmN0mzN79myzSXTPnj3BGI05T2oRpwWy7plWB0+9C+Q8sLyeSFxSxMwwsVZG8MNrVaSIGSGE2BFKuu2UWCxGRETEo1OARcCsFQvGgJPHgd8P1+luhU8E6s9dhzitA/r0qVzCrV9XIIn3o4b6cwuLXC6v/erl+RnmE+v0aEBbxrehLt7mE2vPEMDB/i5Y+mwlLBQPYkso6bZjGo0GUvqUKgjVjUVVWrNEIuD6nSrv0q4xMKpgXsvUaiAlheHipY7Iq0YdKI4D9uwBfvsNGDSo5o7PHGo15nEcRx9ihYAxID8drKgAyFfx/68OTSGQEWuaWKfdBfJSLa8nkfLjV3uHF/ezNihk5uJVvWOyQfTZSlgoHsRWUNJtpziOQ0xMDFV0FIDqxMLJyQlASYVkUgMYoFarqbW7lmVkApkZeajv/y/q1wdOniy/L7c5YjEwcCDQr1+NH6IRJyenR3ssZAP5+fnU2m1tOUlA8g2INAUQAShITAFSb8Hp/ingsccsr8cYkJtsvohZRhzAtJbXdavP96sunVh7BFLRsGL02UpYKB7EllDSbe+OHweWLQMuXAASE4FffgEGDy57nY0bgfHj+d9FIqB+feDpp4HFi4F69Uqm60gk/DLDhgELFwLFiSKpPj8/P3h6eOLShfPo1LmLtQ+HkArz8wWSkv5B//4R+Oyz8quWm6NLuOvi0fKwsDCcO3cOjDGIqL8psaacJODBZQAlLduXb0TDQZ2J4LMfAxFBQHhvID3KfBEzdbblbTvKzSfW3uGAU/Wq6BNCCLGMkm57p1IBrVsDEyYAzz1X8fXc3flOmBwH/Psvn4Q/eAAUD5MDANiwAYiMBIqKSpaRy4F582r+PB5RYrEYTz/dG3t+2YnOXbuhTdt21j4kQsrFcRz2/LIL/139F5/OmweplE+cK5N412XCDQA9evTAr7/+ii1btmDUqFHUakKsgzEg+QYME+64hIf4ad8htPVUwVXqCPw0ruwWa4j41ml9Ym3Q19rNn4qYEUKIFVDSbcfEYjH/TOaAAZVfWSQC/Pz43+vXB958E/jkEyA/H3B25qd7eJQsExDAd7i8eLFGjt3eVKd/5NSpU3H3bhTeen0SQsMjEBQcAgcaP6vKGGPQarWQSCTUolkL1Go1rv93FakpyRj5/POIjIwEgEol3nWdcANA8+bNMX78eGzYsAGHDh1Cs2bNIJPJ6mbnAsIYQ2FhIaRSKV0fdYXTAtpCvs91kQooyAIAaDkOSQ9TcPvmdQSIkvBWz+L7vi7hlnmYT6w9QwDHR++9W1eo3oGwUDyIraBP7nZKIpGgUaNGNbdBZ2f+U7JGY37+7dvA4cPAuHE1t087Ud1YuLi4YNWqlTh58iSOHj2K5OQUaLVltXIQYj0ODg54qldP9O7dG23btjVK3CqSeFsj4dZ57rnn0LJlS5w8eRKxsbHIycmp2wMoRo+42yFOCxRkAwWZfKXw/Izi3zOBIvM1O0Tg4CvlMKCJBJ0aSuDsaPCeGPAF8Nh4arWuYzX+2YpUC8WD2BJKuu0UYwwqlQpyubz6H97u3AHWrAEefxxwcyuZ/sILfH9ujYYvVTxgADBjRvX2ZYdqIhZSqRRPPvkknnzyyRo+ukdPjV4bpNLKSrytmXDrREREICIios73q9FosH//fqxatQrnz5/HgwcP4Kx7qqgO0fVRDYwBqlTj6uBpxf2uM2IAZwtfWkPCj13tHQE4yYHbh0qmW+IdQQm3FdD1ISwUD2JLKOm2UxzH4f79+1Wv6JiVBbi68p+ICwqAbt2Ab781XuaLL4DevQGtFrh7F3j3XeCll4Aff6yZk7AT1Y4FqVEUD+szTrwZOE4EsZhh4EDRIzced0pKCr799lusWbMG8fHx6NixI9auXWuVhBug66NCigqMi5gZFjIrfjTcLAdn0/GsvcP4aTIFvwynBb5sAWQnwrBfdwkR4F4fCKLCmtZA14ewUDyILaGkm5jn5sb3zxaLAX//kn7chvz8gPBw/vfGjYGcHL71+9NPS6YTQogZusR7+HBg717+QZlHJeFmjOHs2bNYtWoVduzYAbFYjBdeeAFTpkzBY2UNB0XqDmNAdoL5xDrzHswnxAAgAhQBJYm1YZLt3oD/m1oWsQSIXAzsGMNvy2g/xS15kYtoCC9CCLExlHQT88TiyifOum8ZaaxbQkgFSKXAjz9y+O67REyY4A+p1L4Tifz8fGzbtg2rVq3CxYsXERoaivnz52P8+PHw9va29uE9mtQ5xQn1XdPHwi30tQYAOCkMWqyLh9zyLm65dqzmUwrNngVGbAIOfgBkPyiZ7l6fT7ibPVu97RNCCKlzlHTbKZFIxFefVamA6OiSGTExwOXLgJcXEBhYvZ1kZgJJSfwj6HfuAHPnAo0aAU2bVm+7dkYfC+pvJAgUD2FxchKhX79CODnZbzyio6OxevVqfPfdd8jIyEBkZCQOHDiAyMhIwVXetcvrQ6sBsuJLJdbFLde5SZbXEzsAnsGmibUyApD71G6f6mbPAk36g4v9GykxV+ET0hLi4K7Uwm1ldnl92DCKB7ElIsaYpWekSCVlZ2dDoVAgKysL7u7u1j4c3tGjQK9eptPHjgU2bjS/zsaNwNtv80m1JYY3ON3wYj16AAsWAKGhVT5cQgixBxzH4eDBg1i1ahV+++03eHh4YMKECZg8eTLCwsKsfXj2KS+9pKXaMLHOiOGH5LJE7mM+sfYMBiSOdXb4hBBC7Bcl3TVISEk3YwxZWVlQKBT0DaCVUSyEheIhLPYWj/T0dGzYsAFff/01oqOj0a5dO0yZMgUjR46Ei4uLtQ+vXIKPh0YNpMeYJtZpd/hhuCxxkAFeYaaJtXc44OxRZ4dfWYKPxyOG4iEsFA9iS6r1eHlcXBzu37+P1NRUuLi4wMfHB02aNIFMJqup47NNly/zlb91PD2BkBC+Cvj166bLt2vH/3vrFqBSGc8LDuYfBU9JAe7dM57n5gZERPDVw//912gWp9UiSSaDm5sbJLGxfDVyQw0aAL6+QEYG/8i5IWfnkkfEL13iC8oYatqUXyYuDkhLM57n68tvOyeHf+TckKMj0LIl//vVq0BRkfH8iAj+nBISgIcPjed5ewNBQXx/8Rs3jOeJREDbtvzvN26Y9ikPCeFj8PAhv21DCgUQFsYfy9WrMNG6Nd9X/c4d/pwMBQQAPj5AejoQG2s8Ty7ni8sB4M6fR0Z8PNwCA0uqazZrBshk/GufUeqDor8//5OdzVeFN+TkBDRvzv9+5YrpuOmNGvHvvfv3geRk43lKJd+lIC8PuHnTeJ5YDLRpw/9+/Tr/XjUUGgp4ePDdCR48MJ7n4cHPLywErl2DiTZt+O3fvg3k5hrPCwzkjys1FYiPN57n6sqfD8fx11RpLVrwnYKjo02fyqhfn3/6IjPTuHsFAM7REUmOjvy1cfWq6WDRTZoALi788aSmGs+rVw9o2JA/j9u3jec5OACtWvG///cfP4yeofBwwN0dSEzkfwxZ4R4BgL8eHR2BqCir3SM4rbbk+pDJbPYecXH3bqzauBE/HDwIjuMwvHdvbF25Eh0jIyHKyDC95gzuEbh40XS7VrpHcA0a4GFMDNw0GuNqwHV5j9ANvZV1D5DlAtqHQMw1IOoWkGNQ1VsKwFvCL59UfB3L6wEeAYAiEGjXEfBvAuQ4AVpn4yJmfgb3iBulXn+ZjH/9Af7eY8V7hP76aN0akvDwR/IeYcTKnyO4xERknD5t/Pe8Dj5HCOkeIaTPEZxWixSNBm4dOkCSkVFnnyMs3iN01yEh5rBKOnz4MBszZgxr0KABE4vFJj9OTk6sa9eubMmSJSw1NbWym7dpWVlZDADL4v+8lPy8+CK/wJ07xtN1PzqdOpnO27yZn7dypem8Pn10Oza73dt//800Gg1jAweazl+6lF93xw7TeW3blhyTVGo6/9o1ft7Eiabzpk/n5x05YjqvQYOS7TZoYDr/yBF+3vTppvMmTuTnXbtmOk8qLdlu27am83fs4OctXWo6b+BAfl5ysvnYZGXx8/v0MZ23ciU/b/Nm03mdOpUck7nt3rnDz3vxRdN5s2bx8w4eNJ0XFlayXaXSdP6pU/y8d94xnff66/y8CxdM57m5lWy3WTPT+Xv28PMWLDCdN2wYP+/ePfPnWlDAz3/iCdN569bx89atM533xBP8vIIC89u9d4+fP2yY6bwFC/h5e/aYzOOaNWM3btzgrw03N9N1L1zg1339ddN577zDzzt1ynSeUlnyGoaFmc4/eJCfN2uW6Twr3SNYcjI/n+4R/LxK3iMKALZl3TrWqVMnBoAFAGw+wB7qlrHBe4RGo2HRO3eazqvNe8T5Hxg7spCxZn5mXn8ZY7Pc+X9Lz2vmx9iRRYxd2GZ+u1W8R7BmzUrOVSD3CO2oUfw8ukeUbNcK9wjt55+beY/S5wgGWO1zxIO5c/m/53X4OcLiPYKQMlT48fIdO3Zg1qxZuH37NhhjCAgIwOOPPw5fX194eXkhPz8f6enpuHXrFi5dugS1Wg0nJyeMHj0ac+fOhb+/f+1+eyAA+sfLjx2Du5VburVaLe7IZIho1oxauq3c0q395x/Ex8cjkFq6BdHSrXV0xB1HR35cT2rptnorllarLbk+bKSlOz4xEd/8/DPW/fILUjIy8NRTT+GN557DgMcfh4ODwQNkttaK5eUJrTYeD6+dgy88IGnQpqRwV1XvEZwWkOQDroVA0g3gwhm+BTvrHqBK4ZfxE/MxStMC+q7XxeNRhzUBgpsDDr5AvhzwCARcvPnl67oVS6cO7xH664NaunlW/hyhffAA8adPG/89p5ZunhU+R2i1WkRrNAillm5iAyqUdHfq1Annzp1Du3btMHr0aAwfPhwNGjSwuHxRURGOHz+OLVu24OeffwbHcdi0aROGDBlSowcvNELq081xHBISEtCgQQPBVcd91FAshIXiISy2Eg/GGA4fPoyVK1di7969cHV1xdixY/H666+jSZMm1j686ru+18IQVYsrNkRVfkZJdXB9P+u7/NBbWrXl9Vy8TcezVkYAniGAwyMwaHs5bOX6eFRQPISF4kFsSYWS7h49emD27Nl48sknK72DzMxMLF26FEqlEm+99VaVDtJWCCnpJoQQUn1ZWVnYtGkTvv76a9y8eRMtWrTAlClTMHr0aLgaPtFky67vBXaMAVD640BxYaIRm/jEW1tUUsTMMLFOvQPkpZbeagmJlC9i5h1WXLzMoIiZi1dtnRUhhBAiGFS9vAYJKenmOA7p6enw8vKib/+sjGIhLBQPYRFqPK5du4ZVq1Zh8+bNUKvVGDJkCKZMmYIePXrYV5VcTgt82cK4hbs0BxngVh/IjAOY1vJybvXNJ9YegTS+dBUJ9fp4VFE8hEPLaXE+6TxiU2IR7BOMx/0eh4TuM0TAqlW9nAgXYwypqanw9PS09qE88igWwkLxEBYhxaOoqAi7d+/GypUrcfz4cfj7+2PatGmYNGkS6tevb+3Dq1mFeUB6NHBjb9kJNwBoCoCM4j6NjnLzibV3OOBkJy3/AiKk64NQPITiz7g/sejcIjzMK+m37+vii+kdpqN3UG8rHhkhllHSTQgh5JGWmJiItWvXYu3atXjw4AG6d++O7du3Y8iQIXB0dLT24VUdxwHZ94sfAb9rPLZ11r3y1zfU/T2g/cuAmz9fdIoQQqzgz7g/8e7Rd8FKdYdJzkvGu0ffxbKeyyjxJoJUqaSbMYZjx44hNTUVbdq0QXh4OADgn3/+wccff4x//vkHHMfhiSeewKJFi9BUV7mSEEIIERDGGE6cOIFVq1bh559/1o+2MWXKFLTUVUe2FQVZ5hPrtChAk295PZkH4OoLpN4qfx+hvfjCaoQQYiVaTotF5xaZJNwAwMAgggiLzy1Gr4Be9Kg5EZwKJ90qlQp9+vTBmTNnAAAikQiff/45nnrqKfTq1Qt5eXn6Zfft24dTp07h0qVLaNiwYc0fNSmXSCSCQqGwr76HNopiISwUD2Gp63jk5uZi69atWLVqFa5evYpGjRph6dKlGDt2LBQKRZ0cQ5VoNXyf6tQ7xol16h1AlWx5PbEj4BVS/Ci4QXVw7whA7m3QpzsRpoXUAP3QXUFdauvMSBnofiUsFI+6oypSITYrFjHZMYjNikVcdhz+S/vP6JHy0hgYkvKScDH5Itr7ta/DoyWkfBVOupcuXYrTp0+jbdu26NWrF44cOYKPP/4YR48eRb169bBu3Tp07NgRGRkZWLp0KZYvX47FixdjxYoVtXn8xAKxWPxIjI1uCygWwkLxEJa6isetW7fw9ddfY+PGjcjNzcXAgQOxdOlSPPXUU8IpiMQYoEotbqUulVhnxACcxvK6rr5mEutwwCMIkJTxp14s4YcF2zEGfLVyw8S7OLGIXESF0KyE7lfCQvGoWRpOgwe5DxCbHYuYrBjEZvPJdWxWLFLyU6q83ZS8qq9LSG2pcPXy1q1bIzc3Fzdv3oSjoyOKiorQtGlTxMTEYM+ePRgwYIDR8o8//jiys7Nx+/btWjlwIRJa9fKHDx/C19dXOB8oH1EUC2GheAhLbcZDo9Fg//79WLVqFf7880/4+Pjg5ZdfxmuvvYbAwMAa3VelFBXwRcxKJ9Zpd/hHxS1xcDYdz1pXxExWzb85ZsfpbsAn3BUZp5vUCrpfCQvFo2oyCjIQmx2rb7mOy4pDbHYs4nPioSnjy0RvmTeCFcEIdud/irgiLL+0vNz9fdf3O2rpJoJT4ZbuqKgojBs3Tl9UxtHREZGRkVi9ejW6du1qsnzXrl2xbt26mjtSUimMMWRlZaFevXrWPpRHHsVCWCgewlIb8UhJScG3336LNWvWID4+Hp06dcLmzZsxfPhwODk51dh+ysQYn8CaS6wz78H8o9wAIAIUAaaJtTKCH5Krtj7oN3sWaNIf2piTSLp7GX7hbSAJ6UYt3FZG9ythoXhYVqgtRHx2PJ9cFyfYut+z1Ja/THSSOCHIPQjB7sEIcg9CiCKE/10RBHep8ZeJWk6L7be2Izkv2Wy/bhFE8HXxRbt67Wr8/Aiprgon3Xl5efDx8TGaplQqAcDs0AleXl5Qq9XVPDxCCCGkfIwxnD17FqtWrcKOHTsgFovxwgsvYMqUKXjsscdqb8fqHDNFzO7wRcyK8iyv56QwSKwNEmyvUMDRufaOtyxiCRDcDTlFvvALjqCEmxBihDGG5Lxkk6Q6NisWD1QPwDHO4rr+cn99ch2sCEaIewiCFcHwk/tBLKrYl4kSsQTTO0zHu0ffhQgio8RbVNwd5oMOH1ARNSJIlapeXrpwBBWSIIQQYk35+fnYtm0bVq1ahYsXLyI0NBTz58/H+PHj4e3tXTM70WqArHjT6uCpd4DcJMvriR0Az2ALRcyUNPQWIUSQ8ory9Ml0XHacUTGzPI3lLxPljnJ9Um2YXAe6B8LZoWa+TOwd1BvLei4zO073Bx0+oOHCiGDRON12SiQSQalU0hcjAkCxEBaKh3A8fPgQhw8fRlJSEi5duoQnn3wSvr6+Rsts3boV+/btw48//mg0PTo6GqtXr8Z3332HjIwM9OvXDwcOHEBkZGTV+1rmpZuvDp4RA2gLLa8n9zGfWHsGARLbGuebrg9hoXgIiz3FQ8tp8UD1QN9irStgFpMdg+Q8yyMiSEQSNHBtYJRYB7sHI0QRAm+Zd528Nr2DeqNXQC+cTzqP2JRYBPsE43G/x6mFmwhahQupicVihIeH68fmBoC7d+8iKioKffv2NVleN0+r1dbc0QqckAqpEUKIUF29ehULFizAzp07odGUFNFxcHDAsGHD8OGHH6Jly5b466+/EBkZiddeew0rVqwAx3E4ePAgVq1ahd9++w0eHh6YMGECJk+ejLCwsIrtXKMG0mPM97XOz7C8noMM8AozTay9wwBnj+q9IIQQUkuy1FkmlcFjs2MRnx2PQs7yl4meTp4miXWwIhgBrgFwtLEvEwkRgkol3ZXeuEhESbeVcByHhIQENGjQgCpsWhnFQlgoHtZ16NAhDB48GBqNxijh1nFwcICDgwO++uorvP/+++jUqRM2bdqETZs2YfXq1YiOjka7du0wZcoUjBw5Ei4uLqY7YQzISbJQxCweKKPfIdwbmi9i5t6w9oqYCQhdH8JC8RAWocajSFuEezn3+MrgBol1bFYsMtSWv0x0FDsa9bM2/FfhpKjDM6gaocaDEHMq/Hh5TExMbR4HqWGMMahUKlTwOxVSiygWwkLxsJ6rV69i8ODBUKvVFl9/jUYDrVaLV199FQEBAfDx8UFQUBA4jsPw4cOxdetWdOzYkX+EsVAFJP5rmlinRQGFuZYPROpmPrH2CgWk8lo6e9tA14ewUDyExZrxYIwhNT/VtDp4ViwSchOgZZYbueq51NMXLjNMrP3l/jb9SDZdH8SWVDjpDgoKqs3jIIQQYucWLFgAjUZT7gck3fx79+7h2LFj+GTaG3i5fwfUQyqQugPYNJ9PrLMTLG9EJOH7VJdOrL3DAVdfKmJGCBGkfE2+cWu1QUGz3CLLXyY6OzibVAbXtWK7OJp5IogQUqcqnHRLJBLMnj0bn3zySW0eDyGEEDv08OFDkz7cFVov4R5WfLkUW9aI0Fgpxk/DneEgNkiYXbzNFDELBzxDAAdpDZ8FIeRRpeW0+CfpH1xLvYZMt0y0929f5VZijnFIVCUiLqukMrguwU5SWR4RQSwSo768vlHxMl1iXc+lnl0UeCPEXlU46WaM0eMbNkQsFsPPz4/6uAgAxUJYKB7WcfTo0Uon3AAwqqUjQrwckc7c4aLwhqT7MMCnEZ9Ye4cDLl61cLSPLro+hIXiIQx/xv1pPERVFD9E1fQO08scoiq7MBtxWXGIzY7VFzPTFTFTa9UW11M4KfhWa8O+1u7BCHQPhFRCXybq0PVBbAkNGWanRCIRPDw8rH0YBBQLoaF41DLGgNxkkyJmOfvPVGlzXcfPxctT/wfYcL9DW0LXh7BQPKzvz7g/8e7Rd8Fg3PCUnJeMd4++i8+e+AyNPRsbPRKuS7DTC9ItbtdB7IBAt0AEuwcjSBFk1OfaU+ZZ26dlF+j6ILaEkm47xXHc/9m78/imqvR/4J97s3Rvuu9LQikiuyJURQWUzX0D3AHHUb6OCMIom2yiAyKKoIzLuACOOP4EHUdFkQHBGdRhFUGpUKBp6U4Xkm5pknvP7480aUOSbqTNSfu8Xy9e0Jt7b87t0xv63HPOc6DX66HVaukJoI9RLPhC8fAScx1QefqCImanbH8ajC67h1ksHXqb8MRelHB3Ibo/+ELx8C1JlvDi/hddEm4Ajm3PfP9Mi+eIDYp1ml+t0+igDdciKTQJSpF+Db8YdH8Qf9Kuu53mivgPxhjMZjNNCeAAxYIvFI92kGXAWOA+sTac9XycIAIRac3mWGdg1E3RUH4+CdZ2LCOpVCoxatSoi78O0mZ0f/CF4tG1TFYT8qvzHT3WB0sONg0pb4FaVKNXRC+n5bd04bb51qHq0C5oec9E9wfxJ+1KupctW4Zly5a1eX9BEDo0h48QQkgXMhmA8lPOQ8IrTtkqhFvrPR8XFOmUWDv+HdULUAY47RoPYOKkSW0upqZUKjFp0iTExcVd5MURQkgTmckoqytrmmPdbOmt4tpit73arVk+Yjlu7nVzJ7SWENJdtCvpDg8Pp7kThBDijyQLUJXnmliX5wC1ZZ6PE1W2JPrCxDo6EwiJblcTFi5ciM8//xySJLXYMyEIApRKJRYsWNCu8xNCiF2NuQZ5xguqgxv0yK/OR30LDxPDVGGOudVKUYl/nvpnq+8VF0wPBwkhLWtX0j179mwsWbKks9pCvEgURaSkpNAcFw5QLPjSrePBGFBb3iyxzrH1VpfnAFW5gNxCD3NoQuNa1hcsvRWRDii8M+9w4MCB+Pzzz3HHHXfAarW67fFWKpVQKpX4/PPPMXDgQK+8L2m7bn1/+CGKR8usshVFNUXO1cEbE+zy+nKPxykFJVLCUpyrgzf+HRUY5ZhOKckSfiz6EWV1ZW57wAUIiA+Ox+Vxl3faNRLP6P4g/oQqOHRTgiAgNJTmEfGAYsGXbhEPi6lZEbNmiXVFjm2ouCfKIPeJdXRvIDC8S5o+fvx47N+/HytXrsSWLVucEm/7kPIFCxZQwu0j3eL+6EYoHjZVpipHQm3vuc4z5iG/Oh/WFh4mRgVGORUvsyfWyWHJUImqVt9XISowf/h8zNkzBwIEp8RbgC0xnzd8XofX6yYXh+4P4k8E1sbqA6IoYtmyZdTT3QKj0QiNRgODwYDw8K75BdYTSZJw+vRpZGRkQKGg/wx8iWLBF7+JB2OAsdB1KHhFDnD+LOBx3qEAaFJdE+uYTCAsCeCoR6CsrAzfffedIx7XX389zeH2Mb+5P3qInhQPs2RGvjHfsZZ1riHXtgyXUQ9Dg+eHiQGKAKSFpznWsrYn2OmadISrvfO7mMs63QASghMwb/i8FtfpJu0jSRIs7VjpQpIk5OfnIy0trdvfH4Q/CoUCKlXrD+/sqKe7G5Nl2ddNII0oFnzhKh4N1e4T64rTgKXO83EBmmaJdW/nImaqoK5r/0WIi4vDpEmTkJOTg8zMTPqliRNc3R+kW8WDMYayujLnAmaN/y6qLYLMPF9rQkiCI7G2VwfXarRICEmAKHTuw8Qx6WMwOnU0DhQfwK+5v2KAbgCGJQ6jHm4vYYyhpKQEBoOhXZXIGWOwWq3Iy8ujFZaITwQEBCAmJqZNna2UdBNCSGeTrMD5PNdlt8pzgJoSz8eJSiBS65pYR/cGQmIB+iWDEMKhOkudI5luXswsz5iHOqvnh4khqhCXeda6cB1Sw1IRrAruwitwpRAVGJYwDBHVEchMyKSE24sMBgPOnz+P2NhYhISEtDmBZoyhoaEBAQEBlHSTLsUYg8VigcFgQGFhIQC0mni3OenuTk9aCSE9lCwB+r0IyzsCqEoB3TWAN39xqq1wXx288gwgtzBkLiTWfWIdqQUUbR+6RAghXUWSJRTVFjmS6eZzrsvqPK+IoBAUSA5Ndilgpg3XIiYohpKnHoYxhrKyMoSHhyMmJqbdxwJAYGAg/dyQLhcUFISwsDAUFBSgvLy81aS7TXO6//e//+HKK6/scKNqa2uh1+vRv3//Dp/DH/A0p5sxBrPZDLVaTR9EPkax4MTxL4Dt8wBjUdO28CRgwiqg321tP4+1wZZEuxsSXl/l+ThlIBCV4b6IWVBEhy/L39H9wReKB194iIehweA0v9o+LDzfmA+zbPZ4XGRApGtirdEiNTQVKj99mMhDPLobq9WKnJwcpKSkICwsrF3HMsbAGIMgCBQP4jNGoxGFhYXo3bt3i3O829TTffXVV+PGG2/E3LlzMXLkyDY3orS0FO+//z5effVVzJgxo9sn3bxRKmn2AC8oFj52/AvgkylwKT5mLLZtn/yBc+LNGFBd7KGIWT7QwrxDhKc0JdbNK4VrUrkqYsYTuj/4QvHgS1fEwyJZcLb6rNMca/vfVQ2eHyaqRBXSw9PdLr2lCdB0ert9ge4P77KvYNHR7ysl28TX7Im2JEkXn3R/9tlnmDdvHq6//nqkpqZi4sSJyMrKwtChQxEfH4+QkBBIkoTKykqcOHEC+/btw7///W989913AIA//vGPePzxx71wWaStZFmm4kScoFj4mCzZerjdVvtu3PblLKD0V1vxMnsRM3ON53Oqw9wn1tEZgDqkM66i26L7gy8UD35IsuTVwl2MMVSYKlzWs9Yb9CisKYTEJI/HxgXHOQqX2RPr9PB0JIUk9ai5zXR/dJ6OJs8mkwmBgYFebg0hbdfWn902Jd133HEHbrnlFnzwwQd48803sWbNGqc3UCgUkKSmD2vGGMLCwvDoo49i1qxZ6NOnTzubTwghXqLf6zyk3J36SuD7Vc7bBLGpiNmFa1uHxlMRM0JIp3FZouo0EB8cj/nD57e6RFW9tR75xnxH8bLmBc1qLJ4fJgYrg2291s0qg9t7sX1dxIwQQvxdm8dyKJVK/OEPf8Af/vAH/Pbbb9i1axd++OEHFBQUoKKiAkFBQYiNjcXAgQMxcuRI3HDDDQgJoR4fQkgXqa8Cyk81K2SWY/u6PKdtx6ePADLHNiXWkTpAqe7cNhNCyAV25u3EnD1zwC4YnVNWV4Y5e+Zgzag1uD7tepTUljgKlzVffquk1vOKCKIgIikkydFj7VjTOjwdccFxNFSXEOKwbNkyPPfcc+1axq099uzZg9GjR2P37t0YNWpUp7wHTzo0gaJ///7o378/Zs6c6e32EEKIZ1YzUKV3TawrcoC6ios796gFgO5arzSTEEI6QpIlvLj/RZeEG4Bj2zPfPwNREFssYqYJ0LisaZ0eno608DSoFfQwkZCuUFNTg9WrV2Pfvn3Yv38/qqqqsGHDBkybNs3XTSM+QNUguilRFJGZmQmRCjf5HMWinRgDasqcl96yJ9hVeUAL8w4RlmSbVx2T6dxj/cGttqJpbud1C7Yq5ulXd9YVkRbQ/cEXikfXs8gWFFYXQm/U478F/20aUu6BlVkBBihFJdLC0twWMYsMjOyi1vcsdH/wh+f53OXl5Vi+fDnS0tIwePBg7Nmzx9dNapdFixZh/vz5vm5Gt0FJdzdmtVqhVtMTbR5QLNww1wGVp10T64rTQIPR83GqENfE2r70VkCo+2MmrGqsXi7AOfFuHEo54UXvrtdN2oXuD75QPLyPMYZKU6VLATO9UY+C6gJbIt0Oz1zxDO6/9H4oRfo1rqvR/cEX+5JhF5Jkhv25lSirNiEuLBDDdVFQiF07fSIxMRHFxcVISEjAwYMHMWzYsC59/4ulVCqpWr8X0Xeym5JlGbm5uVRhkwM9OhayDBgL3CfWhrMtHCgAEWnNEutmRczCEttfxKzfbbZlwdyu0/1i+9bpJl7Vo+8PDlE8Lk6D1GBbz7oxobb/O9eYi2pztcfjgpRBSA9PR5gqDAdKD7T6PpdGX0oJtw/Q/cGfhoYGl97u7b8W47kvj6PYYHJsS9QEYumt/TBhQGKXtS0gIAAJCQkdPn7atGnYunUrjh8/jj/96U/Ys2cPNBoNFi5ciCeeeALHjh3DrFmzsG/fPsTExGDlypW4//77WzynXq+HTqfD6tWroVAosHbtWpSVlWH48OH461//igEDBjj2vXBO94YNG/CHP/wB7733Hv7whz849luxYgWeffZZbNu2DTfddBMA4Pfff8eiRYvw3Xffoa6uDgMGDMCSJUtw220t/76Vk5OD+fPn44cffsD58+cRExODa665Bm+//TY0Gv9ehpA+sQkhF89kcC1iVnHa9sda7/m4wAj3iXWkDlB5echYv9uAvjdDyt2LklNHkNB7CBS6a6iHmxDSLjKTUVZX5rT0Vp4xD3qjHkU1RW7nYwOAAAFJoUlOw8DTw9Oh0+gQFxwHURAhyRLGfzoeZXVlbs8jQEB8cDwuj7u8sy+TEL+0/ddiPP7hYZe7p8RgwuMfHsabD17epYn3xZIkCTfeeCOuu+46vPTSS9i8eTNmzJiBkJAQPPvss3jggQdw11134a233sKUKVNw1VVXQafTtXreDz74ANXV1XjiiSdgMpmwbt06XH/99Th27Bji4+PdHvPwww/js88+w5w5czB27Fikpqbi2LFjeO655/DII484Eu7ffvsNI0aMQHJyMubPn4+QkBB88sknuOOOO/Dpp5/izjvvdHt+s9mM8ePHo6GhAU8++SQSEhJQWFiIr776CufPn6eku7toaGjA448/jp07d+L8+fPo168fXn31VVx11VW+bhohfJAstjnVzeda23uva8s8HyeqgCida2IdnQkER3Xt0luiAtBeg2pLPBK0mZRwE0I8qrXUOlUHtyfWecY81LfwMDFMHea0prV9Ga60sDQEKlt+mKgQFZg/fD7m7JkDAYJT4i00ToeZN3xej1obm/Q8jDHUW1qo39JsP5NZgixaIQgCJJlh6Re/uX3sxWCbULbsi+MY0Tum3UPNg1QKn1T3N5lMePDBB7FgwQIAwP3334+kpCT84Q9/wD/+8Q/cc889AICxY8eib9++2LRpE5YtW9bqeU+dOoWcnBwkJycDACZMmICsrCysWrUKa9as8XjcO++8g/79++ORRx7BV199halTpyIhIcHpmFmzZiEtLQ0HDhxAQEAAAOBPf/oTrrnmGsybN89j0n38+HHk5uZiy5YtmDhxomP7kiVLWr0ef0BJdyOr1QqtVou9e/ciJSUFn3zyCW699Vbo9XqEhnqYJ8o5KvTBD7+JBWNAbbn7xLoqF5BbmHcYGu8mse4NRKQDCr4+avwmHj0ExYMvPSkeVtmKopoi6I165BpyHYm13qDHufpzHo9TCkqkhKU4VQa3J9lRgVEX9cv5mPQxWDNqjfM63bCt0z1v+LxW1+kmnasn3R++Um+R0G/Jt14/LwNQYjRh4LId7T72+PLxCFb75neZP/7xj45/R0RE4JJLLsGpU6cwefJkx/ZLLrkEEREROHPmTJvOeccddzgSbgAYPnw4srKy8PXXX7eYdCckJOCvf/0r7rvvPlx77bU4cuQI/v3vfyM8PBwAUFlZie+++w7Lly9HdXU1qqubptWMHz8eS5cuRWFhodN729l7sr/99lvcdNNNCA4ObtO1+Au+fhP2oZCQEKcnKffeey/mzJmDEydOYOjQoT5sWccoFAr06dPH180g4DQWFpNzEbPm861NBs/HKYNsifSFiXV0BhDoH8N+uIxHD0bx4Et3jUeVqcptEbP86nxYW3iYGB0Y3VQZvNmw8OSwZKhEVae1d0z6GIxOHY3DZYdxru4cYoNjcXnc5dTD7WPd9f4g/AoMDERsbKzTNo1Gg5SUFJeHexqNBlVVVW06b2Zmpsu2Pn364JNPPmn12HvvvRcffvghtm3bhsceeww33HCD47VTp06BMYbFixdj8eLFbo8vKytzm3TrdDrMmTMHa9aswebNm3Httdfitttuw4MPPuj3Q8sBLyTdNTU1OHnyJGpra3HttV23xm171r5raGjAkiVL8Pe//x1VVVUYNGgQXnjhBYwdO9bj+XNyclBZWYnevXt34lV0HsYYamtrERIS4pPhMKSJz2LBGGAsbJZQN0usz5+F++WzAEAANKluEuveQHgy4OdP+ene4AvFgy/+HA+zZEa+Md+WVDdPsI16GBo8P0wMUATYeqqbzbHWhmuRrklHuDq8C6/AmUJU4Ir4K/w2Ht2RP98f/iRIpcDx5eNb3Y8xBlmWIYoiBEHA/txKTNvQeiHCjQ8Pw3BdVLvb5AueCvZ52m4vetaZKioqcPDgQQC2IeH2GAC2YoMA8PTTT2P8ePcxbCm3euWVVzBt2jT861//wo4dOzBz5kysXLkS//vf/5CSkuLlK+laHU669Xo9Zs2aha+//hqyLEMQBFittqfFP/zwAx599FG88cYbGDVqlLfa6qQ9a9/Zq/899dRTyMzMxMaNG3HTTTdh9+7duOaaa1z2r6+vd8yf8NcnK7Iso6CggCpscqDTY9FQ3ZhQuylkZqnzfFyAplli3SzBjuoFqIK8305O0L3BF4oHX3iPB2MMZXVlLkm13qBHUW0RZCZ7PDYxJNFpjrV93nVCSAJEgc+HibzHo6eheHQNQRDaNJSbMQaTyYRAtRqCIODazFgkagJRYjC57VYQACRoAnFtZmyXLx/Gm5ycHJdtJ0+ehFarbfXYJ554AtXV1Vi5ciUWLFiAtWvXYs6cOQCAXr16AQBUKhXGjOnYVJiBAwdi4MCBWLRoEX788UeMGDECb731Fl544YUOnY8XHUq68/PzceWVV6KiogK33347SkpK8NNPPzlez8rKQnl5Of7xj390WtLd1rXv9u/fj48//hirV6/G008/DQCYMmUKBgwYgLlz5+LHH3902t9isWDSpEno3bt3t5m4T3xIlgD9XoTlHQFUpUBHq2VLVsCQf0Fi3dhzXVPi+ThRCURq3c+1Dont2iJmhBDSRnWWOqfK4M2LmdVZPT9MDFWFOnqp7cPBdeE6pIWnIUjZfR8mEkIAhShg6a398PiHhyHAeTyf/bedpbf26/EJNwB8/vnnTnOr9+/fj3379uGpp55q8bitW7fi//2//4fXXnsNTz75JH755RcsWrQIt9xyC/r06YO4uDiMGjUKb7/9Np588kkkJjpXij937pzLcHk7o9GI4OBgp7XBBw4cCFEU0dDQcHEXzIEOJd1Lly5FVVUVvv/+e1x99dV47rnnnJJupVKJa6+9Fj/88IPXGnqhtq59t3XrVigUCjz22GOObYGBgXjkkUewcOFCnD17FqmpqQBsTzAfeughCIKATZs20dAhcnGOfwFsnweFsQjJAPATGteFXuV5Xei6yqae6uaJdVUuIJk9v1dIrPvEOlILKDpv3iEhhHSUJEsoqi1yqgxurxZeVud5RQSFoLAVMWvWa60N10Kn0SE6MJr+7yakB5swIBFvPni5yzrdCT5YpxsA1q9fj/Pnz6OoqAgA8OWXX6KgoAAA8OSTT/psRG3v3r1xzTXX4PHHH0dDQwPWrl2L6OhozJ071+MxZWVlePzxxzF69GjMmDEDgO36du/ejWnTpmHv3r0QRRF//etfcc0112DgwIF49NFH0atXL5SWluKnn35CQUEBfvnlF7fn/+677zBjxgxMmjQJffr0gdVqxd///ncoFArcfffdnfJ96EodSrq//fZb3Hnnnbj66qs97pOeno7vvvuuww3zlp9//hl9+vRxVNWzGz58OADgyJEjjqR7+vTpKC4uxrfffuv0lMWThoYGpycvRqMRgG1NPUmyLXUgCAJEUYQsy07zLDxtt89L8bTdft7m24GmORTNqVQql+0KhcIxB+bCtnja3ta2d/Y1edrO5TX9+jnErdMAMDT/9Y8Zi4FPpkAe9xdAkwKx8nSzBPs0hPpKeMKUgRCiMsBieoNF2eZYs+gMCDF9IAZHUpzaeE2yLEOlUnWra2q+3d+uqXk8uss1NW+7P12TJEs4VHoIv5//HYZSAy6Pu9xp2HVHr6mqvsqx1JbeqEdete3vs8azMMueHyZGBkQ65linh6cjPczWe50SmgK1Uu32mhhjbtvor3Fq6f7w12vqyHZerkmWZSiVynbFg/dr6kjbvXlNjDGnPy0RBMHt/W7/t934/gkYc2k8DuirUGY0IS48AMO0UVCIguMYd+91sdvdPfB7+eWXkZeX5/j6s88+w2effQYAPi0QNmXKFIiiiLVr16KsrAzDhw/H+vXrXXqmm7Mn6Bs2bHBca3R0NP72t7/h9ttvx8svv4y5c+eiX79+OHjwIJ577jls3LgRFRUViIuLw2WXXdbiKOLBgwdj/Pjx+PLLL1FYWIjg4GAMHjwY33zzDa688kqvfw+6WoeS7srKylbH/DPGuBgKUFxc7PYHyL7N/uQpLy8P7777LgIDAxETE+PY75tvvvFYIG7lypV47rnnXLafPn3ascyYRqNBYmIiSktLYTA0FXKJiYlBTEwMCgsLUVtb69iekJCAiIgI6PV6mM1Nv4ykpKQgNDQUp0+fdvqg1Ol0UCqVLnMzMjMzkZKSgtOnTzu2iaKIPn36oLa21vGUDQDUajV69eoFg8GAkpKmocohISFITU1FZWUlysvLHdt9eU1WqxW5ubl8X1NwEORtz0C8IOEG4Fh1VbFjITyxBMdDlXApzOFaVInRaAhLgyUsDUJkGnpl9Ibh/Pmma6oDQipqkBocSXFq5zWJooiTJ092q2vy5ziJoogzZ850q2vypzjtyN2BDXkbUGGusL14AogJiMG0tGnIispq9ZoCggLw32P/RWFdIYpMRSg0FaKSVSK/Oh9VDZ6r6aoEFRICE5AUlISByQOREJCAoLogJAYlIkwZ5rim842fe1aTFfoyfY+LkyiKKC4u7lbX5M9xEkUR5eXl3eqafBUnWZZhtVqdcobAwECXPEIQBAQGBkKWZadz2xN6q9UKi8Xi2K5QKHBVRjQsFovtNXMDLI3b1Wo1LBaL00MApVIJlUrlsl2lUkGpVMJsNju1Xa1WQ6FQoKGhwZF4BwW5TmHR6/Uu29pq48aN2Lhxo8t2T3Ws2vtec+bMcczFdmfZsmVOa35/+umnbve77bbbXB5K9OrVC5s2bWrx/UeNGuV0nE6nw3vvvdeGlvsngXWgzF16ejquuOIKxzf/ueeew/Lly51+SMeMGYOCggL8/vvv3mutB/Y53e6ql2dkZOCSSy7B119/7bT9zJkzyMjIwKuvvtrq/AVP3PV02z+07D3rvnryKQgCDAYDwsLCnJ68+cuTT3fXxOXTXFM1WPkpCBW2oeBC5WkIRT/bluNqBYvqDSRfbuuxjsoAi+5tK2KmDqE4deI1McZQXV2NiIiINred92tqvt3f4tQ8Hhf2dPjrNTVvuz/EaYd+B57+/unGR4JNhMbHhi9f9zJuSLsBgiCgwlSBXEOu05rWecY8FNYUQmLO19RcfHC8rbe6eXXwsHQkBCc4lsGiOLm/P4xGIyIjI13uD3+9po5s5+WaOhIP3q+pI2335jWZTCbk5uZCp9MhMDAQLXHX4yxJkseidp3Vo+1pu7uebt7o9XrodDqnWlfk4rT1Z7hDPd1jx47F3//+dxw9ehSDBg1yef2///0vvvvuuw4ns94UFBTktsfdZDI5Xu+ogIAABAQEuGxXKBQuHwD2D8ULtXd7W5cOkCQJpaWlCA8Pd3lNEAS35/G03Vttv9hraml7p16TLEE0nHUtYlZxCqKx0O152kIYvQAYONH2b3evU5w65Zpaujdaarun7TxcU2ttbO/2rrwmb8fD03aKk/u2SLKElw685JJwA3Bse/aHZ/Her+8hvzofNZYat+0DgGBlMLSaxmW3GiuD2+ddB6uCPR7n7Wvy5nZfx0mSJJSVlUGj0Xh8T3+7ps7Y3lXX1Bnx8PU1XUwbvXFNgiA4/WlN830YY7BYLFAoFB6P9dV2Qi7UoaR70aJF2Lp1K6677jo888wzOHXqFADbUOwff/wRa9asQUxMDJ555hmvNrYjEhMTUVjomhgVFxcDAJKSkrq6SYRX9VXul92qOA1ILUyVCI52LmImWYDdbVjWIDTee20nhJB2kJmMktoSfJv7LUrrSlvc1ySZcLzyOABAFEQkhSQ5FS+zVwmPDYqlX0AJIYQQNzqUdGu1Wnz77be49957sXjxYsfwiltuuQWMMaSlpWHr1q0tTsbvKkOGDMHu3bthNBqdiqnt27fP8TrpQaxmoErvmliX5wB15Z6PU6iBqIymxDq6d1OF8OAo531lCTj0PmAsBjytFBmeBKR7LkRICCHeUG2udqxnnWvIdaxrnW/MR0NLDxMv8NClD+HuPncjNSwVaoW6E1tMCCGks2i12lYL1pHO0aGkG7CtxZ2Tk4Mvv/wS+/btc8xjzsrKwu233w61mo//lCdOnIiXX34Zf/vb3xxzF+yV97KyshyVy7sbQRAQEhLSM3sdGANqylyGgtuW3tIDLcw7RFiS67Jb0b2BiDS0eX1tUWFbFuyTKYCnlSInvNj28xGv6tH3BocoHhfPIltQWF3oWHKreYJdafK8IoJSVCI2KBbFtcWtvsfotNHIiMjwZrNJG9D9wReKB388DbcnhDcdTroBW6W/O++8E3feeae32tMubVn7LisrC5MmTcKCBQtQVlaG3r17Y9OmTdDr9d26Qp4oit32gYKDuc5WsOzCxLriFNBg9HycKsR9Yh3dGwgI9U7b+t0GTP4A2D4PMBY1bQ9PsiXcntbpJp2uR9wbfoTi0TaMMVSaKp0Sa/vfBdUFsDKrx2Njg2Idw8HtQ8F14TokhiZCgIDxn45HWV2Z23ndAgTEB8fj8rjLO/PyiAd0f/CF4sEXQRC46eQjpDUdql7OC61W67T2XXO5ubmOZc1MJhMWL16MDz/8EFVVVRg0aBCef/55jB8/3qvtMRqN0Gg0MBgMLuuCdzVZllFZWYmoqCiPBS38giwDxoKmZLp5gm046/k4QbT1TjsS64ymf4clAl31lFqWIOt/QE3JKYQm9IaoHUE93D7Wbe6NboLi4axBarBVBW+WWOcZ85BrzEW1udrjcUHKIKSHpzuSavvf6WHpCFW3/DBxZ95OzNljWzameeJtr16+ZtQajEkf44WrI+1F9wdfKB7e157q5RdijMFqtTrWTifEFzq1evny5ctb3UcURYSHh+OSSy7BqFGj3Fb5vlhtXY8uMDAQq1evxurVq73eBl4xxlBeXo7IyEhfN6VtTAa31cFRcRqw1ns+LijSfWId1QtQev9nrt1EBVj6CBSZ45CZnkkJNwf87t7o5npiPGQmo6yurGmOdWOCnWfMQ1FNkdseZ8CWBCeFJjkl1vYluOKC4yAKHUsCxqSPwZpRa/Di/hediqrFB8dj3vB5lHD7UE+8P3hG8eCPPekmhHcd+ildtmyZS8l+uwu3C4KAyMhIrFmzBlOmTLmIphK/J1mAqrzG4mWnnHuva8s8HyeqbEl086HgMZm2BDskuuvaTwgh7VBrqYXeoEeuMdfRY21PrutbeJgYpg5zWXJLq9EiLSwNgcr29QS11Zj0MRidOhoHig/g19xfMUA3AMMShznW0CaEEEJIx3Uo6d69ezfWrFmDf//735gyZQpGjBiB+Ph4lJaW4ocffsAHH3yAcePGYcqUKTh8+DBef/11/OEPf0BSUhLGjKEn5t0aY0BtuYciZrmA7HneIUIT3CTWvYGIdEBBTzEJIfyxylYU1RQ5ipfZE2u9QY9z9ec8HqcUlEgJS3HMr7Yn1tpwLaICo3wyVFIhKjAsYRgiqiOQmZBJCTchhBDiJR3KZHJycvD999/j8OHD6Nu3r9NrDz30EJ566ilkZWXhtttuwwsvvID7778fl19+OV555RVKuruIIAjQaDSd94ubxeShiFmObai4J6rgpmHgzRPr6N5AoG/nwXeWTo8FaReKB1/8JR5Vpiq3Rczyq/NhbeFhYnRgtEsRM224FslhyVCJqi68grbxl3j0FBQPvlA8+EPVy4m/6FAhtYEDB+Lqq6/G22+/7XGfxx57DD/99BOOHTsGAJg0aRK+++47VFRUdLy1nOOmkJosAXk/AjWlQGi8bT3ojvRYMAYYC90n1ufPwv0a1AAgABGprol1TKZtSS4qPkII4ZBZMiPfmO8oXOZIsI16GBo8P0wMUAQ4ipjZ51hrw7VI16QjXN09HyYSQog3XEwhNcIPQRCwdOlSLFu2rFPOP2rUKADAnj17OuX8F6NTC6mdOnUKt9xyS4v7REdH4/Tp046vMzIy8MUXX3Tk7Uh7HP/CwzJVqzwvU9VQ3ZhMn242LLzxa0ud5/cK1DRLrHs7FzFTBXn3uvyYLMsoLS1FfHw8VTvlAMWDL10dD8YYyurKHMPAmxczK6otgsxkj8cmhiQ6VQi3z7tOCEnocBEz3tD9wReKB18oHnxhjMFisUClUnE5+qCmpgarV6/Gvn37sH//flRVVWHDhg2YNm2a2/2zs7Mxe/Zs7N27F2q1GjfffDPWrFmD2NjYrm046RQdSrpjY2PxzTffYMWKFW5/yBlj+OabbxAd3VTkqqqqChqNpuMtJa07/gXwyRS49EAbi23bb3wJiEx3LWJWU+L5nKISiNS5VgePzgRCYrpu6S0/xhiDwWBAXFycr5tCQPHgiSRLTYW7ZO8W7qqz1DnNr25ezKzO6vlhYogqxGXZLV24DmnhaQhSdv+HiXR/8IXiwReKB38kSYJKxd9UHQAoLy/H8uXLkZaWhsGDB7fYS1tQUIDrrrsOGo0GK1asQE1NDV5++WUcO3YM+/fv53498vr6eqoi34oOfXfuvfdevPzyy7jtttvwl7/8BYMGDXK8dvToUSxatAjHjh3Dn//8Z8f2/fv349JLL734FhP3ZMnWw+12yHfjtm+e8Xx8SJxrj3V0pi1JV/D5YUYI8V8783Y6L1F12rZE1fzh89u8RJUkSyiuLXaZa51rzEVZnecVERSCAsmhyU6JtTZcC51Gh+jAaC57TAghhPiXxMREFBcXIyEhAQcPHsSwYcM87rtixQrU1tbi0KFDSEtLAwAMHz4cY8eOxcaNG/HYY491VbM7hKYGtK5DSfdzzz2HgwcPYtu2bfj6668REhKC2NhYnDt3DrW1tWCM4brrrsNzzz0HACgpKYFWq8XkyZO92njSTN6PzkPKPYnUAomDnRPr6AwgKKKzW0gIIQBsCfecPXNc1qMuqyvDnD1zsGbUGqfE29BgcF/EzJgPs2z2+D6RAZEuibVWo0VqaCpU9DCREEK6L2/VN7oIAQEBSEhIaNO+n376KW655RZHwg0AY8aMQZ8+ffDJJ5+0mHTr9XrodDqsXr0aQUFBeOWVV1BSUoJrrrkG7733HlJSUvDCCy/g7bffRkVFBcaNG4cNGzYgKiqqxTZNmzYNW7duxdGjR/H4449j79690Gg0+L//+z8sXrzY6QF18znd9fX1uOyyywAAP//8M4KCbKPEKisr0b9/f+h0Ovz3v/+FQqGALMt47bXX8M477+D06dPQaDS444478OKLLyIyMrLF9r3++ut46623kJubi4CAAGRkZGDOnDm4//77W/1++0KHku6goCDs3LkTGzZswIcffoijR48iPz8f4eHhGDlyJB544AE8/PDDjvkuCQkJ+Oc//+nVhpML1JS2bb/rFwMDJ3ZuW4gTQRAQExNDvWecoHj4liRLeHH/iy4JNwDHtsU/LMb3Z79HXnUe8ox5qDRVejyfSlQ5zbNu/rcmgKY0tRfdH3yhePCF4sEft0OaO1LfyIcKCwtRVlaGK664wuW14cOH4+uvv27TeTZv3gyz2Ywnn3wSlZWVeOmllzB58mRcf/312LNnD+bNm4dTp07h9ddfx9NPP43333+/1XNKkoQJEybgyiuvxEsvvYTt27dj6dKlsFqtWL58udtjgoKCsGnTJowYMQLPPvss1qxZAwB44oknYDAYsHHjRkfV+enTp2Pjxo14+OGHMXPmTOTm5mL9+vX4+eef8cMPP3icOvDOO+9g5syZmDhxImbNmgWTyYSjR49i37593SvpBgBRFPHII4/gkUce8WZ7SEeFxnt3P+I1oigiJibG180gjSgevsMYw+6zu5uGlHtQY6nB56c/d9oWFxznKFzWPLFODEmk9aS9iO4PvlA8+ELx4IsgCK5JWWv1jSZ/wF3iXVxcDMA2HP1CiYmJqKysRENDAwICAlo8T2FhIXJychw1tCRJwsqVK1FfX4+DBw86HlCcO3cOmzdvxptvvtnqOU0mEyZMmIDXXnsNAPCnP/0Jt956K1atWoWZM2d6vB+ysrIwd+5crFq1CnfeeSdKS0vx8ccfY+3atejTpw8AYO/evXj33XexefNmp0R59OjRmDBhArZs2eIxgd62bRv69++PLVu2tNh+ntCM9+4i/WrbUzxjMdzP6xZsr6df3dUt6/FkWUZhYSGSk5Op2ikHKB6dr95aj3xjvtOyW3kGW1GzGktNm84xNm0sxmrHOnqxg1XBndxqAtD9wRuKB18oHl2EsZZXz3HsdkH1clkCvpkLz/WNBFsPeK9R7R9qrgrutOLB9fX1AOA2AbbPla6vr281QZ40aZJT0eqsrCwAwIMPPug0IiArKwv/+Mc/UFhYiF69erXavhkzZjj+LQgCZsyYgW3btmHnzp249957PR63bNkyfPXVV5g6dSpqamowcuRIzJw50/H6li1boNFoMHbsWJSXlzu2Dx06FKGhodi9e7fHpDsiIgIFBQU4cOBAi3PleXLRSbckSSgvL0dDQ4Pb15vPTSCdSFTYhs18MgWAAOcPnMYPiQkvdvl8FmL7T8Fe64D4HsXDO2Qmo6S2xKUyuN6oR3FtscfjBAhuh5Zf6L5L78OwBP/4j7Q7ofuDLxQPvlA8uoilDliR1OpuAoD21fRmtiHnL6a2v00LiwB1SPuPawP7nGd3uZTJZHLapyUX5lz2BDw1NdXt9qqqqlbPKYqiS2Ju76nW6/UtHqtWq/H+++9j2LBhCAwMxIYNG5ymZuTk5LS4GkBZmeeCqPPmzcPOnTsxfPhw9O7dG+PGjcP999+PESNGtHpNvtLhpPvQoUNYuHAh/vOf/8Bsdl/IRhAEWK3WDjeOtFO/22zDZtzOY3mRu+E0hBD+VZurHb3VuYZcR2Kdb8yHSTJ5PE4ToLENA28+1zpci+TQZNz6+a0oqytzm3wLEBAfHI/L4y7vzMsihBBCuGAfVm4fZt5ccXExoqKiWu3lBuCYJ93W7V3x8Ojbb78FYHt4kJOTA51O53hNlmXExcVh8+bNbo9taX3ySy+9FCdOnMBXX32F7du349NPP8Ubb7yBJUuWOAp586ZDSfeRI0dw7bXXQqlUYty4cfjyyy8xePBgJCQk4PDhwzh37hxGjRqF9PR0b7eXtKbfbUDfmyHl7kXJqSNI6D0ECt011MNNCPHIIltQWF3oXCG88d8VpgqPxylFJdLC0twWMYsM9Fx1dP7w+ZizZ45Lr7fQOCpn3vB5NE+bEEJ6KlWwrWe5FYwxmEwmBAYG2npQ834ENrehWPADW9s/3bITpzglJycjNjYWBw8edHlt//79GDJkSKe9d2tkWcaZM2ccvdsAcPLkSQCAVqtt8dijR49i+fLlePjhh3HkyBH88Y9/xLFjxxw97RkZGdi5cydGjBjRpp78C4WEhOCee+7BPffcA7PZjLvuugt/+ctfsGDBAi6XMOtQ0v38888DAPbt24dLL70UoijizjvvxJIlS1BfX48///nP2Lp1a5uq4pFOICog9roOIdGDIWo0nTYHhbSNKIpISEig+V+c6KnxYIyh0lTpNrEuqC6AlXkelRQbFOtIptPD06HT6KAN1yIpNAlKsf3/jYxJH4M1o9Y4r9MN2zrd84bPa/M63cT7eur9wSuKB18oHl1EENo2lJsxqBSBgEJhOybj+rbVN8q4nrvOqLvvvhubNm3C2bNnHcPBd+3ahZMnT2L27Nk+bdv69esdhdQYY1i/fj1UKhVuuOEGj8dYLBZMmzYNSUlJWLduHXJzczFs2DDMnj3bkR9OnjwZb7zxBp5//nmsWLHC6Xir1YqamhpERES4PX9FRQWio6MdX6vVavTr1w/ffPMNLBZL90m69+7di9tuuw2XXnqpY5t9iEJQUBDWr1+PH3/8EQsXLsRHH33knZaSdhEEweMPKulaFAu+dPd4NEgNtiHgzeZY2+ddV5urPR4XpAxyFC1LD0+HVqOFLlyH9PB0hKpDvd7OMeljMDp1NA6XHca5unOIDY7F5XGXUw+3j3X3+8PfUDz4QvHgiyAIzkuGcVjfaP369Th//jyKimw9919++SUKCgoAAE8++aSj13fhwoXYsmULRo8ejVmzZqGmpgarV6/GwIED8fDDD3dZey8UGBiI7du3Y+rUqcjKysI333yDbdu2YeHChS0O/37hhRdw5MgR7Nq1C2FhYRg0aBCWLFmCRYsWYeLEibjpppswcuRITJ8+HStXrsSRI0cwbtw4qFQq5OTkYMuWLVi3bh0mTnQ/cmHcuHFISEjAiBEjEB8fj+zsbKxfvx4333wzwsLCOuvbcVE6lHQbDAanSfUqlQo1NU0VaUVRxKhRo/CPf/zj4ltIOkSWZej1emi1Wnoi62MUC750h3gwxlBaV4pcQ66tMnhjkq036lFUU+SxUJkAAUmhSY5h4PYkW6fRIS44DqLQtd8PhajA0LihtnjE+W88upPucH90JxQPvlA8+MIYg9lshlqtbirQxVl9o5dffhl5eXmOrz/77DN89tlnAGxVxZsXO/v+++8xZ84czJ8/H2q1GjfffDNeeeWVNs3n7iwKhQLbt2/H448/jmeeeQZhYWFYunQplixZ4vGYw4cPY8WKFZgxYwZGjx7t2D5//nz861//wqOPPorffvsNEREReOuttzB06FC8/fbbWLhwIZRKJbRaLR588MEWi6JNnz4dmzdvxpo1a1BTU4OUlBTMnDkTixYt8ur1e1OHku64uDinincJCQnIyclx2sdkMqGurvVy/6Rz2D+IqMKm71Es+OJP8ai11Dp6qZsn1nnGPNRb6z0eF6YOc6xpbU+stRot0sLSEKjka8iVP8WjJ6B48IXiwReKB39kWXbd2FjfCHk/AjWlQGi8bQ63D0ZStVbhu7n+/fs7Co+1h1ardfszOWrUKLfbp02bhmnTprX5/L169Wq1Xc3f5/LLL4fFYnHZR6FQYP/+/S7bH330UTz66KMtnn/Pnj1OXz/22GN47LHHWjyGNx1Kuvv164cTJ044vh4xYgQ+//xz/PTTT7jqqquQnZ2NTz75BH379vVaQwkhpDuyylYU1RS5nWt9rv6cx+OUghIpYSlOlcHt/44KjHJaloMQQgjpUUQFoLvW160gxKFDSffNN9+M2bNno7i4GImJiZg3bx7++c9/4pprrkFUVBSqqqogyzIWLlzo7fYSQohfqjJVOSfWjX/nV+fDKnsuYhYdGO02sU4OS4ZKVHXhFRBCCCGEkI7oUNL9f//3f5g8eTIiI21LwgwePBi7du3CX/7yF5w5cwZDhw7Fk08+iZtvvtmrjSVtJ4oiUlJSaM4RBygW/JBkCYfKDqGAFcBYZsTQ+KFeLdxllszIN+Y79Vbb/21oMHg8LkAR4FTEzF4dPF2TjnB1uNfaxyO6P/hC8eALxYMvFA/+qNVqXzeBkDYRGE1M8Rqj0QiNRgODwYDw8O79izIh/mZn3k63S1TNHz6/XUtUMcZQVlfmmFttL2amN+hRVFsEmbmZX9YoMSTRaY61fd51QkhClxcxI4QQQnzNZDIhNzcXOp2Oy2WeCGlNW3+GO9TT3atXL9x4443461//2uEGks4lSRJOnz6NjIwMKBS0BI8vUSx8b2feTszZM8elqndZXRnm7JmDNaPWuCTedZY6p8rgucZcxzJcdVbPRSJDVCFOw8DtyXVaeBqClEGdcn3+jO4PvlA8+ELx4AvFgy+MMTQ0NCAgIIDqmBDudSjpLi8vp55cP+C2oiPxCYqF70iyhBf3v+h2GS37tuU/LUdRTRHyq/MdCXZZXZnHcyoEBVLCUpx6re1Lb0UHRtN//u1E9wdfKB58oXjwheLBFxqwS/xFh5LuQYMG4eTJk95uCyGEeN3hssNOQ8rdqWqowuqDq122RwZEOvVY2/9ODU2FSkFFzAghhBBCSOs6lHTPmzcPd999N3bv3u206DkhhPiKRbLgbPVZlyJmJyvb9oBwQPQAXJl0pVOCrQnQdHKrCSGEEEJId9ehpLuqqgrjxo3DuHHjcMcdd2DYsGGIj493O6RyypQpF91I0n6iKEKn01GFTQ5QLLyHMYYKU4VT8TL734U1hZCY1OFzz7liDoYlDPNia0lb0P3BF4oHXygefKF48CcgIMDXTSCkTTpUvVwURQiC4DKPonnSzRiDIAiQpI7/EuxveKpezhiDLMuOWBHfoVi0X721HvnGfEfxMntinWfMQ42lxuNxwcpg2zzrZpXB08LSMHP3TJyrO+d2XrcAAfHB8dh+93avLh9G2obuD75QPPhC8eALxcP7LqZ6efM8hOJBfKVTq5dv2LChww0jXUOWZeTk5CAzM5MqbPoYxcI9mckoqS1xqgxuHxpeUlvi8ThREJEUkuRUvMw+JDw2KNbtf7wLhi/AnD1zIEBwSrwF2PadN3weJdw+QvcHXygefKF48IXiwR+TyURLjRG/0KGke+rUqd5uByGkm6o2VzsSasewcKMe+cZ8NEgNHo/TBGhsyfQFa1qnhqVCrVC3qw1j0sdgzag1btfpnjd8XrvW6SaEEEIIIaQ9OpR0E0JIcxbZgsLqQqd51vYEu9JU6fE4pahEWliay7Jb2nAtIgIjvNrGMeljMDp1NA4UH8Cvub9igG4AhiUOox5uQgghhJCLIAgCli5dimXLlnXK+UeNGgUA2LNnT6ecvytcVNKt1+uxefNmHDlyBEajEeHh4RgyZAgeeOABaLVaLzWREMIDxhgqTZUuBcz0Rj0KqgtgZVaPx8YGxTYtudWs5zoxNBFKseue/SlEBYYlDENEdQQyEzIp4SaEEEJIp/jtt9+wbNkyHDp0CCUlJQgODka/fv3wzDPP4NZbb3XZPzs7G7Nnz8bevXuhVqtx8803Y82aNYiNjfVB64m3daiQGgCsW7cOc+fOhdVqdSmoplKp8NJLL2HWrFleaaS/oEJqxB1/i4XJakJ+db5LYq036lFtrvZ4XJAyyFbE7II1rdPD0hGqDu3CK2iZv8Wju6N48IXiwReKB18oHt7XnQupff3113jttddw1VVXISkpCXV1dfj000/x3//+F2+//TYee+wxx74FBQW47LLLoNFoMHPmTNTU1ODll19GWloa9u/fD7W6fdPquprJZIJSqYRS2TkdKTz3dLf1Z7hDSfdXX32F2267DTExMZg9ezZGjx6NxMRElJSUYPfu3VizZg0qKirwxRdf4Oabb76oC/EnvCXdZrMZarWayw+inoTHWMhMRlldmdult4pri91W+QZshceSQpNcEmttuBZxwXEQBf6XUeExHj0ZxYMvFA++UDz4QvHwvotNuu2rJV0YD0mWcLjsMM7VnUNscCwuj7uci9FtkiRh6NChMJlM+P333x3b//SnP2Hjxo34/fffkZaWBgDYuXMnxo4d65Kg90TdIenu0OOINWvWICoqCocPH0ZKSopje3p6OrKysvDAAw/gsssuw5o1a3pU0s0TWZaRm5tLFTY54MtY1JhrkGfMc1l6K786H/XWeo/HhanDHIXLHD3W4elIC0tDoNK/q4TSvcEXigdfKB58oXjwheLBn4aGBpdEZ2feTreFU+cPn+/zwqkKhQKpqak4cOCA0/ZPP/0Ut9xyiyPhBoAxY8agT58++OSTT1pMuvV6PXQ6HVavXo2goCC88sorKCkpwTXXXIP33nsPKSkpeOGFF/D222+joqIC48aNw4YNGxAVFdViW6dNm4atW7fi6NGjePzxx7F3715oNBr83//9HxYvXuz0oKP5nO76+npcdtllAICff/4ZQUFBAIDKykr0798fOp0O//3vf6FQKCDLMl577TW88847OH36NDQaDe644w68+OKLiIyMbLF9r7/+Ot566y3k5uYiICAAGRkZmDNnDu6///4Wj/OVDiXdhw8fxgMPPOCUcDeXmpqKyZMn46OPPrqoxhFCWmeVrSiqKXKuDt6YYJfXl3s8TikokRKW4lQZXBtuS66jAqPoKT4hhBBC/MrOvJ2Ys2eOy4i9sroyzNkzB2tGrenyxLu2thb19fUwGAz44osv8M033+Cee+5xvF5YWIiysjJcccUVLscOHz4cX3/9dZveZ/PmzTCbzXjyySdRWVmJl156CZMnT8b111+PPXv2YN68eTh16hRef/11PP3003j//fdbPackSZgwYQKuvPJKvPTSS9i+fTuWLl0Kq9WK5cuXuz0mKCgImzZtwogRI/Dss89izZo1AIAnnngCBoMBGzdudDy0mj59OjZu3IiHH34YM2fORG5uLtavX4+ff/4ZP/zwA1Qqldv3eOeddzBz5kxMnDgRs2bNgslkwtGjR7Fv377ulXSbzWaEhIS0uE9oaCjMZnOHGkVIdyHJEg6UHMCv5b/ifNj5i6qWXWWqciTU9p7rPGMe8qvzYZU9FzGLDox2qQyeHp6O5LBkqET3H2aEEEIIIb7AGGtxNF7z/RqsDZAtMgRBgCRLWLl/pdspcvZtL+5/EVkJWe3+XSxIGdThzog///nPePvttwEAoijirrvuwvr16x2vFxcXAwASExNdjk1MTERlZSUaGhoQEBDQ4vsUFhYiJycHGo0GgC1hXrlyJerr63Hw4EHHfOtz585h8+bNePPNN1s9p8lkwoQJE/Daa68BsA2Dv/XWW7Fq1SrMnDkTMTExbo/LysrC3LlzsWrVKtx5550oLS3Fxx9/jLVr16JPnz4AgL179+Ldd9/F5s2bnRLl0aNHY8KECdiyZYvHBHrbtm3o378/tmzZ0mL7edKhpLtPnz748ssvsWLFCrcT5q1WK7766ivHN5X4hijyP7+2O3MZ3nS69eFNZsmMfGO+o3CZvec6z5gHQ4PB43sFKAJcipjpNDqkh6cjTB3WGZfn1+je4AvFgy8UD75QPPhC8eh89dZ6ZH2U1SnnLq0rxdUfX93u4/bdvw/BquAOvedTTz2FiRMnoqioCJ988gkkSXLqmKyvtz1gcJcA24fO19fXt5ogT5o0yZFwA7bEFwAefPBBp3wtKysL//jHP1BYWIhevXq12v4ZM2Y4/i0IAmbMmIFt27Zh586duPfeez0et2zZMnz11VeYOnUqampqMHLkSMycOdPx+pYtW6DRaDB27FiUlzeNzBw6dChCQ0Oxe/duj0l3REQECgoKcODAAQwbNqzVa+BBh5LuKVOm4Omnn8b48ePx0ksvYejQoY7XDh48iAULFuDEiRN4+eWXvdZQ0j4KhYIeevhQa8Oblly1BKlhqU1rWhtzkWfIQ1FtEWQmezxvYkii2yJmCSEJflHEjAd0b/CF4sEXigdfKB58oXiQjujbty/69u0LwJZDjRs3Drfeeiv27dsHQRAcc54bGhpcjjWZTADg2KclzeeDA3Ak4KmpqW63V1VVtXpOURRdEnP7PaDX61s8Vq1W4/3338ewYcMQGBiIDRs2OI0WyMnJgcFgQFxcnNvjy8rKPJ573rx52LlzJ4YPH47evXtj3LhxuP/++zFixIhWr8lXOpR0z5o1C//5z3/wxRdfYPjw4QgODkZcXBzKyspQV1cHxhhuv/32HrdkGE8YY6itrUVISAjNze1ikizhxf0vtji86bmfnvN4fKgq1CmhTtekQxeuQ1p4GoKUrX/okpbRvcEXigdfKB58oXjwheLRNYKUQdh3/75W97uwevmh0kP4064/tXrcGze8gaHxQ1vd78I2ecvEiRMxffp0nDx5EpdccoljWLl9mHlzxcXFiIqKarWXG4DH4n6etndw1eh2+fbbbwHYHh7k5ORAp9M5XpNlGXFxcdi8ebPbY1tan/zSSy/FiRMn8NVXX2H79u349NNP8cYbb2DJkiV47jnPv2P7UoeSboVCgc8//xwffPABNm3ahCNHjiA/Px/h4eHIysrC1KlT8dBDD3m7raQdZFlGQUEBVdjsZJIsoai2yKky+LFzx5wqZnoSHxyPvlF9naqD6zQ6RAdG03/mnYjuDb5QPPhC8eALxYMvFI+uIQhCm4ZyM8ZgMpkQGBgIQRBwddLViA+OR1ldmduODwEC4oPjcXXS1T5dPsw+nNxgsE0bTE5ORmxsLA4ePOiy7/79+zFkyJCubJ4TWZZx5swZpxEeJ0+eBABotdoWjz169CiWL1+Ohx9+GEeOHMEf//hHHDt2zNHTnpGRgZ07d2LEiBFt6sm/UEhICO655x7cc889MJvNuOuuu/CXv/wFCxYsaPfyc13holYwnzJlCqZMmeKtthDCLUODwakyeJ4xD3qjHvnGfJjljhUMnDN0Dm7qdZOXW0oIIYQQ0vMoRAXmD5+POXvmQIDglHgLsHVmzBs+r8sS7rKyMpeh0xaLBR988AGCgoLQr18/x/a7774bmzZtwtmzZx3DwXft2oWTJ09i9uzZXdJeT9avX+8opMYYw/r166FSqXDDDTd4PMZisWDatGlISkrCunXrkJubi2HDhmH27NmOqumTJ0/GG2+8geeffx4rVqxwOt5qtaKmpgYRERFuz19RUYHo6GjH12q1Gv369cM333wDi8XSfZLuDz74AEOGDMGgQYM87nPs2DH8/PPPlJQTv2GRLDhbfdY2v9qY59R7XdXged6LWlQjLTzNURlcYhLe/7X1ZRhigz0PmyGEEEIIIe0zJn0M1oxa43ad7nnD53XpcmHTp0+H0WjEddddh+TkZJSUlGDz5s34/fff8corryA0NNSx78KFC7FlyxaMHj0as2bNQk1NDVavXo2BAwfi4Ycf7rI2XygwMBDbt2/H1KlTkZWVhW+++Qbbtm3DwoULWxz+/cILL+DIkSPYtWsXwsLCMGjQICxZsgSLFi3CxIkTcdNNN2HkyJGYPn06Vq5ciSNHjmDcuHFQqVTIycnBli1bsG7dOkycONHt+ceNG4eEhASMGDEC8fHxyM7Oxvr163HzzTcjLIzPAsIdSrqnTZuGZcuWtZh0f/HFF1iyZAkl3T4iCALUajUNU74AYwzl9eWO6uDNE+vCmkJITPJ4bHxwfFMBs2ZzrhNDEp2emkqyhG1ntrU6vOnyuMs75RpJy+je4AvFgy8UD75QPPhC8eCPu2ryY9LHYHTqaBwuO4xzdecQGxyLy+Mu7/Ih5ffccw/ee+89vPnmm6ioqEBYWBiGDh2KVatW4bbbbnPaNzU1Fd9//z3mzJmD+fPnQ61W4+abb8Yrr7zSpvncnUWhUGD79u14/PHH8cwzzyAsLAxLly7FkiVLPB5z+PBhrFixAjNmzMDo0aMd2+fPn49//etfePTRR/Hbb78hIiICb731FoYOHYq3334bCxcuhFKphFarxYMPPthiUbTp06dj8+bNWLNmDWpqapCSkoKZM2di0aJFXr1+bxJYB2bRi6KIZcuWtfgNX758OZ5//nlYLJaLaqA/MRqN0Gg0MBgMCA8P93VzerR6a71jCHjzxDrPmIcaS43H44KVwW4T6/Tw9HYtFWGvXg7A7fCmNaPWdOnTVkIIIYQQ3phMJuTm5kKn03E5JLgnmzZtGrZu3YqaGs+/N5O2/wxf1Jzulvz888+IiorqrNOTVjDGYDAYoNFouu0TWZnJKKktgd5gW3LLkVwb9SipLfF4nCiISA5NdqxrbR8WrtVoERsU65XvF0/Dm4iznnBv+BOKB18oHnyhePCF4sEXxhgkSYJCoaB4EO61Oem+/vrrnb7euHEj9uzZ47KfJEkoKCiAXq/H5MmTL7qBpGNkWUZJSQnCwsL8vsJmtbm6aT1rezGzxiJmDZLrmoZ2mgCNU4+1LlwHrUaL1LBUqBXqTm+3fXjTgeID+DX3VwzQDcCwxGE+rZhJute90R1QPPhC8eALxYMvFA/+WCwWigXxC21Oupsn2IIgQK/Xu10UXRRFREVFYdKkSVi7dq0Xmkh6AotsQWF1odNwcHuCXWmq9HicUlQiLSzNaSi4vec6IjCi6y7AA4WowLCEYYiojkBmQiYl3IQQQgghhPQwbU66ZVl2/Lstc7oJuRBjDJWmSpd51nqjHgXVBbAyq8djY4NiXeZa68J1SAxNhFLstFkShBBCCCGE9DgbN27Exo0bfd2MbqND2cru3btbXRCd+JYgCAgJCfHJHJcGqcFlya08Yx5yjbmoNld7PC5IGeSYZ+1IsDVapIelI1Qd6vE43vkyFsQVxYMvFA++UDz4QvHgC8WDPzS0nPiLDlUv96SqyraWcWRkpLdO6Vd6UvVymckoqytrmmPdmGDnGfNQVFPkdqkswFa9Oyk0yaUyuE6jQ1xwHETBdekHQgghhBDS/VD1cuLvvF69/Ny5czh27BguueQSJCcnO7124MABPPbYYzh69CgA4NJLL8Wbb76Ja6+9toPNJxdDkiUcLDkI/Tk9tLFaXJFwRYfnEtdaap2qg9uX4coz5qHeWu/xuDB1mKNwmT2x1mq0SAtLQ6CyZ32oyrKMyspKREVFuV1PknQtigdfKB58oXjwheLBF4oHXxhjsFqtUCqVNPqAcK/NSfebb76J5557DkePHnVKuktKSjB+/HicP38eAQEBUKlUOH78OG688Ub88ssvyMjI6JSGE/d25u10u0zV/OHzPS5TZZWtKKopchQva76+9bn6cx7fSykokRKW4phfbU+steFaRAVG0QdgI8YYysvLe+wIEN5QPPhC8eALxYMvFA++UDz4Y0+6CeFdm39K//Of/+CSSy5B//79nbavW7cO58+fx8SJE/HBBx8gICAAr7/+Op566imsXbsWr7/+utcbTdzbmbcTc/bMcRnaXVZXhjl75mD5iOVID093KWKWX50Pq+y5iFl0YLRLETNtuBbJYclQiarOvixCCCGEEEII8VttTrpPnTqFMWNce0q//PJLKBQKrF+/3jGOfebMmfjggw/w3Xffea+lpEWSLOHF/S+6nUtt37b4h8Uejw9QBDiKmNnnWGvDtUjXpCNc3b3npxNCCCGEEEJIZ2nXnO7ExESnbdXV1cjOzsawYcMQFxfn9NqVV15JZea70OGyw05Dyj2JCoxCn8g+TstuaTVaJIQkUBGzTiIIAjQaDQ235wTFgy8UD75QPPhC8eALxYM/VL2c+It2TYI4f/6809eHDx8GYwxXXHGFy74RERGQJOmiGkfa7lyd57nXzc0bNg839bqpk1tDmhNF0eWBFfEdigdfKB58oXjwheLBF4oHXwRBgFqt9nUzSCcRBAFLly7FsmXLOuX8o0aNAgDs2bOnU85/oTZ3bep0Ovz4449O23bv3g1BEHDllVe67F9WVob4+PiLbyFpk9jgWK/uR7xHlmUUFxdDlmVfN4WA4sEbigdfKB58oXjwheLBF8YYzGYzvLj6sVcdOHAAM2bMQP/+/RESEoK0tDRMnjwZJ0+edNl32rRpEATB5U/fvn3dnvv06dO4//77ERcXh6CgIGRmZuLZZ5912S87OxsTJkxAaGgooqKi8NBDD+HcubZ11BHvanNP9y233ILVq1djxYoVmDFjBk6ePIm33noLarUaN93k2nO6b98+9OrVy6uNJZ5dHnc54oPjUVZX5nZetwAB8cHxuDzuch+0rmdjjMFgMLhMwSC+QfHgC8WDLxQPvlA8+ELx4I8kSVCp+Czqu2rVKvzwww+YNGkSBg0ahJKSEqxfvx6XX345/ve//2HAgAFO+wcEBODdd9912qbRaFzOe+TIEYwaNQrJycn485//jOjoaOTn5+Ps2bNO+xUUFOC6666DRqPBihUrUFNTg5dffhnHjh3D/v37uR8lUF9f360q07f5SubOnYuPPvoIixcvxuLFtoJcjDHMnTsXUVFRTvueOHECx44dw/Lly73bWuKRQlRg/vD5mLNnDgQITom3ANvco3nD53V4vW5CCCGEEEL8AZMk1B08BOu5c1DGxiL4iqEQunj+95w5c/DRRx85Jbf33HMPBg4ciBdffBEffvih0/5KpRIPPvhgi+eUZRkPPfQQ+vbti927dyMoKMjjvitWrEBtbS0OHTqEtLQ0AMDw4cMxduxYbNy4EY899thFXF3nsxfo7i7aPLw8KioKP/30E6ZNm4a+fftixIgReO211/Diiy+67Ltt2zYMHjwYt956q1cbS1o2Jn0M1oxag7hg5yew8cHxWDNqjcd1ugkhhBBCCOkOjDt24NQNY5A/dSqKnn4a+VOn4tQNY2DcsaNL23H11Ve79CZnZmaif//+yM7OdnuMJEkwGo0ez7ljxw78+uuvWLp0KYKCglBXV+exhtann36KW265xZFwA8CYMWPQp08ffPLJJy22Xa/XQxAEvPzyy/jrX/+KXr16ITg4GOPGjcPZs2fBGMPzzz+PlJQUBAUF4fbbb0dlZWWL5wRsw+hDQ0Nx5swZjB8/HiEhIUhKSsLy5ctdpgkIguCYz11fX4++ffuib9++qK+vd+xTWVmJxMREXH311Y7vgyzLWLt2Lfr374/AwEDEx8dj+vTpqKqqarV9r7/+Ovr374/g4GBERkbiiiuuwEcffdTqcW3Rrj775ORkvPfee63uN2fOHMyZM6fDjSIdNyZ9DEanjsbBkoPQn9NDG6vFFQlXUA+3DwmCgJiYGKp2ygmKB18oHnyhePCF4sEXigd/Lhx+bNyxA4WzngIuSOCspaW27evWInzcuK5r4AUYYygtLUX//v1dXqurq0N4eDjq6uoQGRmJ++67D6tWrUJoaKhjn507dwKwDUW/4oorcOjQIajVatx555144403HKOPCwsLUVZW5rbY9fDhw/H111+3qb2bN2+G2WzGk08+icrKSrz00kuYPHkyrr/+euzZswfz5s3DqVOn8Prrr+Ppp5/G+++/3+o5JUnChAkTcOWVV+Kll17C9u3bsXTpUlitVo+jpIOCgrBp0yaMGDECzz77LNasWQMAeOKJJ2AwGLBx40ZHJfvp06dj48aNePjhhzFz5kzk5uZi/fr1+Pnnn/HDDz94nI7wzjvvYObMmZg4cSJmzZoFk8mEo0ePYt++fbj//vvb9P1qSfcZKE8cFKICWUlZyErK8nVTCGzVTmNiYnzdDNKI4sEXigdfKB58oXjwheLRNRhjYM16M1uiAMAsFjDYhpSXvvAXl4S78aSAAJT+ZQVCrrqq3UPNhaAgrzxs2bx5MwoLC12Sy8TERMydOxeXX345ZFnG9u3b8cYbb+CXX37Bnj17HA8XcnJyAACTJ0/GhAkTsGDBAvzyyy9YuXIlzp49i71790IQBBQXFzvOe6HExERUVlaioaEBAQEBLba3sLAQOTk5jrnlkiRh5cqVqK+vx8GDBx3tOnfuHDZv3ow333yz1XOaTCZMmDABr732GgDgT3/6E2699VasWrUKM2fO9HiPZWVlYe7cuVi1ahXuvPNOlJaW4uOPP8batWvRp08fAMDevXvx7rvvYvPmzU6J8ujRozFhwgRs2bLFYwK9bds29O/fH1u2bGmx/R1FSXc3JcsyCgsLkZycDFGk9bd9iWLBF4oHXygefKF48IXiwReKR9dg9fU4cfnQTjixrcf75LDh7T70ksOHIAQHX9Tb//7773jiiSdw1VVXYerUqU6vrVy50unre++9F3369MGzzz6LrVu34t577wUA1NTUAACGDRvmmBN+9913Izg4GAsWLMCuXbswZswYxxBsdwmwfa50fX19qwnypEmTnIq5ZWXZOvQefPBBp1EGWVlZ+Mc//oHCwsI2FdKeMWOG49+CIGDGjBnYtm0bdu7c6bhWd5YtW4avvvoKU6dORU1NDUaOHImZM2c6Xt+yZQs0Gg3Gjh2L8vJyx/ahQ4ciNDQUu3fv9ph0R0REoKCgAAcOHMCwYcNavYb2ok+MbooxhtraWm6XUehJKBZ8oXjwheLBF4oHXygefKF4kI4qKSnBzTffDI1Gg61btzqGQrdk9uzZEEXRMaQcgKNw2n333ee0rz2RtC/vbN+voaHB5bwmk8lpn5Y0nw8ONFVTT01Ndbu9LfOmRVF0ScztPdV6vb7FY9VqNd5//33k5uaiuroaGzZscBqBkJOT41hhIDY21ulPTU0NysrKPJ573rx5CA0NxfDhw5GZmYknnngCP/zwQ6vX01bU000IIYQQQgjhghAUhEsOH2p1P8YYTA0NCAwIgCAIqDt4EGcfm97qcal/exvBbuY6t9amjjIYDLjxxhtx/vx5/Pe//0VSUlKbjgsKCkJ0dLRTgTL7sfHx8U772pexsye99mHl9mHmzRUXFyMqKqrVXm4AHh8OeNreFQ+kvv32WwC2hwc5OTnQ6XSO12RZRlxcHDZv3uz22NjYWI/nvfTSS3HixAl89dVX2L59Oz799FO88cYbWLJkCZ577rmLbjcl3YQQQgghhBAuCILQpqHcjDGIoggxMBCCICBkxAgoExJgLS11P69bEKCMj0fIiBFdtnyYyWTCrbfeipMnT2Lnzp3o169fm4+trq5GeXm5U6I4dOhQvPPOOygsLHTat6ioCEBTUpmcnIzY2FgcPHjQ5bz79+/HkCFDOnA13iHLMs6cOePo3QaAkydPAgC0Wm2Lxx49ehTLly/Hww8/jCNHjuCPf/wjjh075uhpz8jIwM6dOzFixIg29eRfKCQkBPfccw/uuecemM1m3HXXXfjLX/6CBQsWXPQSZjS8vJsSRREJCQk054gDFAu+UDz4QvHgC8WDLxQPvlA8+NO8ErWgUCB+4YLGLy4oetb4dfzCBV2WcEuShHvuuQc//fQTtmzZgquuusrtfiaTCdXV1S7bn3/+eTDGMGHCBMe222+/HQEBAdiwYQNkWXZsf/fddwEAY8eOdWy7++678dVXX+Hs2bOObbt27cLJkycxadKki76+i7F+/XrHvxljWL9+PVQqFW644QaPx1gsFkybNg1JSUlYt24dNm7ciNLSUsyePduxz+TJkyFJEp5//nmX461WK86fP+/x/BUVFU5fq9Vq9OvXD4wxWCyWdlyde9TT3U0JgoCIiAhfN4OAYsEbigdfKB58oXjwheLBF4oHXwRBcFkyLHzcOGDdWpSuWAlrSYljuzI+HvELF3TpcmF//vOf8cUXX+DWW29FZWWlo/CZ3YMPPgjANt/7sssuw3333Ye+ffsCsA2h/vrrrzFhwgTcfvvtjmMSEhLw7LPPYsmSJZgwYQLuuOMO/PLLL3jnnXdw3333ORUAW7hwIbZs2YLRo0dj1qxZqKmpwerVqzFw4EA8/PDDXfAdcC8wMBDbt2/H1KlTkZWVhW+++Qbbtm3DwoULWxz+/cILL+DIkSPYtWsXwsLCMGjQICxZsgSLFi3CxIkTcdNNN2HkyJGYPn06Vq5ciSNHjmDcuHFQqVTIycnBli1bsG7dOkycONHt+ceNG4eEhASMGDEC8fHxyM7Oxvr163HzzTcjLCzs4i+cEa8xGAwMADMYDL5uCpMkiZ0+fZpJkuTrpvR4FAu+UDz4QvHgC8WDLxQPvlA8vK++vp4dP36c1dfXt/tYWZaZyWRisiy7vma1spr/7WPnv/yK1fxvH5OtVm80t11GjhzJAHj8Y1dVVcUefPBB1rt3bxYcHMwCAgJY//792YoVK5jZbHY5ryzL7PXXX2d9+vRhKpWKpaamskWLFrnd99dff2Xjxo1jwcHBLCIigj3wwAOspKSk1bbn5uYyAGz16tVO23fv3s0AsC1btjht37BhAwPADhw40OJ5p06dykJCQtjp06cd7YqPj2dLly51ua8AsKVLlzLGGDt06BBTKpXsySefdNrHarWyYcOGsaSkJFZVVeXY/re//Y0NHTqUBQUFsbCwMDZw4EA2d+5cVlRU5Nhn5MiRbOTIkY6v3377bXbdddex6OhoFhAQwDIyMtgzzzzTal7X1p9hofGiWnT99dd3KKEXBAG7du3q0LH+yGg0QqPRwGAwIDw83KdtkSQJOTk5yMzMbFOFRNJ5KBZ8oXjwheLBF4oHXygefKF4eJ/JZEJubi50Ol2758wyxmAymRDYOKeb8G/atGnYunWrY+mz7qCtP8NtGl6+Z8+eDjWCbgBCCCGEEEIIIT1Zm5Lu5hP1CSGEEEIIIYQQ0jZUfrGbEkURKSkpVGGTAxQLvlA8+ELx4AvFgy8UD75QPPijVqt93QRC2oQ+NbopQRAQGhpKQ/w5QLHgC8WDLxQPvlA8+ELx4AvFgy+CIEChUFA8/MjGjRu71Xzu9rioJcNMJhMOHDiAoqIiNDQ0uN1nypQpF/MWpIMkScLp06eRkZFBxT58jGLBF4oHXygefKF48IXiwReKB18YY2hoaEBAQAAl3oR7HU66//rXv2Lx4sUwGAxuX2eMQRAESrp9iObi84NiwReKB18oHnyhePCF4sEXigdf2rAIEyFc6NDw8s8++wxPPvkkUlNT8fLLL4Mxhttvvx0rVqzAhAkTwBjD3Xffjffff9/b7SWEEEIIIYR0I5Q8E3/V1p/dDiXda9euRVxcHH766SfMnj0bADBkyBDMmzcP27Ztw4cffojPP/8c6enpHTk9IYQQQgghpJtTKm2Dbq1Wq49bQkjHWCwWAGh1ykmHku6jR4/itttuQ3BwsGObJEmOf99///24/vrrsXz58o6cnniBKIrQ6XRUYZMDFAu+UDz4QvHgC8WDLxQPvlA8vE+hUEChUMBoNHbo+ICAAC+3iJC2Y4zBYDAgICAAKpWqxX07NKfbYrEgNjbW8XVQUBDOnz/vtM/gwYPxt7/9rSOnJ16iVCqB//wHePll4NAhoLgY+Oc/gTvu8HzQqFHA9997fn3kSGDPHkCrBfLybNtEEYiPB2680fZekZHeu4huwv4kl/CB4sEXigdfKB58oXjwheLhXYIgIC4uDsXFxQgICEBISEibi6I1H9ZLhdRIV2KMwWKxwGAwoKamBsnJya0e06FPjqSkJBQXFzu+Tk9Px88//+y0T15eHn0w+ZAsy8jJyUFmdTUUgwcDf/gDcNddrR/42WeA2Wz799mzwPDhwM6dQP/+tm3N10Ncvhx49FFAkoCTJ4HHHgNmzgT+/nfvX5Afc8QiM5OqnXKA4sEXigdfKB58oXjwheLROTQaDerr61FeXo5z5861+TjGGKxWK5RKJSXdxCcCAgKQnJyM8PDwVvftUFY8bNgwHD582PH1hAkTsG7dOqxcuRK33XYb9u7di88++wxjxozpyOmJN914I3DLLW3fPyqq6d8mk+3v6GggIcF137Cwpu3JycDUqcA//tHxthJCCCGEkB5FEAQkJiYiLi7OMT+2LSRJQl5eHtLT0+khCOlyCoWi1SHlzXUo6Z40aRIWLlwIvV4PrVaLBQsW4NNPP8WiRYuwaNEiMMag0Wjw0ksvdeT0PnPu3DlMmzYNe/bsQUpKCt544w3ccMMNvm6WfygsBL78EsjK8nVLCCGEEEKIn7HP724rSZIgiiICAwMp6Sbc61DSfeedd+LOO+90fB0bG4sjR47g3XffxZkzZ5Ceno6HHnqoTePbefLEE08gISEB586dw86dOzF58mTk5OQgqnnvL2kybx6waJFteLnJZEu416zxdasIIYQQQgghhBsCo4XxAAA1NTWIiorCmTNnkJKSAgAYNWoUpk6diocffrhN5zAajdBoNDAYDG0a29+ZGGOQZRmiKDbNcxGE1gupNafXAzod8PPPwJAhzq9ptcCDDwLTpgGM2eZ/L1wIKBS24m30xNHBbSyIz1A8+ELx4AvFgy8UD75QPPhC8SD+pENrHlx//fX44IMPWtznww8/xPXXX9+hRrVFTU0Nli5digkTJiAqKgqCIGDjxo1u921oaMC8efOQlJSEoKAgZGVl4d///rfTPjk5OQgNDXUk3AAwcOBA/Pbbb512DZ2t09c8jIkBevcGMjOB668H1q4FfvwR2L27c9/XD9H6k3yhePCF4sEXigdfKB58oXjwheJB/EWHku49e/ZAr9e3uE9eXh6+b2npqYtUXl6O5cuXIzs7G4MHD25x32nTpmHNmjV44IEHsG7dOigUCtx0003Yu3evY5+amhqX3unw8HDU1NR0Svs7myzLyM3NhSzLXfem9t7t+vque08/4JNYEI8oHnyhePCF4sEXigdfKB58oXgQf9Jpa3rV1ta2q6JbeyUmJqK4uBgJCQk4ePAghg0b5na//fv34+OPP8bq1avx9NNPAwCmTJmCAQMGYO7cufjxxx8BAKGhoTAajU7HGo1GhIaGdto1dImaGiA3t+nr3FzgyBFblfK0tIs7d3U1UFLSNLx87lwgNha4+uqLOy8hhBBCCCGEdBNtTrrz8/Odvj5//rzLNsBWSfDs2bP49NNPodVqL7qBngQEBCDB3TJWF9i6dSsUCgUee+wxx7bAwEA88sgjWLhwIc6ePYvU1FRkZmaipqYGhYWFjgJwv/76K6ZMmdJp19AlDh4Emi/dNmeO7e+pUwEPw/HbbMkS2x/AlmwPGwbs2GFbYowQQgghhBBCSNuTbq1W6yhSIAgC1q1bh3Xr1nncnzGG1atXX3wLL9LPP/+MPn36uAwdHz58OADgyJEjSE1NRWhoKG6//XYsXboUr7/+Onbt2oWjR4/i9ttv90WzvUIURWDUKFtPdEdotZ6PbWV6AXEmih2ayUE6CcWDLxQPvlA8+ELx4AvFgy8UD+Iv2px0T5kyBYIggDGGDz74AIMHD8aQCytaw7bGXlRUFK6//npMmDDBm23tkOLiYiQmJrpst28rKipybHvjjTcwdepUREdHIyUlBf/v//2/FpcLa2hoQENDg+Nr+/B06dAhSI3D0gVBgBgdDTk9Hay+Hjh+vGm7KEKWZbDLLrOd4MQJiPX1EATBtp0xW+IbFQWxogJCQQEkSWpqQFgYxEsuASQJ8s8/O7VNFEVkDhwIGYB08iRgMACwxYcxBjkxEYiPB6qqIOj1EEXRUQUSQUHApZfa2vjLL5AlCc2L3Av9+kEMCYGcmwtWXt60XRAgJiZCTkwEMxqBnBxHWwRBgKxQgA0YYNv52DGIkgRBEJquKTPTdk3FxUBpqfMcnehoiDodUF8P+YLidgqlEmzIENv+2dlA4/fQcU3p6UBkJFBaCqGoqOn7zhig0QAZGRCsVoi//da03X5NQ4ZAVKkgnzhhu6Zm318hLQ1ydDRYRYXjIYT9WqXAQOCSS2w7Hz6MTFEEjhyBZL+mfv2AwECIeXlAVZXztSYmQpGSAmYwQD550vn7GxQE1q+fbf+jRwGr1flnKTMTCA0FCgognDvnfK0xMUBaGoT6eognTzpfqyhCvPxyW5x+/dX2s9r8WjMyIIWF2aYTNN4z9v/o5PBwoFcvwGwGfv21abv9moYMAUQRitOnwaqrna5VSE+HGBcHdu4c5GYPcgRBgBgeDrl3bzBJsk2JwAX3Tf/+gFoNnDkDwWBwvtakJCAhAaLRCKFxvpfjWgMDkTlggC1Ohw4BzdojiiLQty/kwEAgPx9o/Pl2XFNMDJCSYpu2cfJk0/0ky4BSCQwaZGtjdjaYyeR8rZmZECMiIBcWgjX73PHlZwQGDoSsUACnT/v0MyJTFCH88kuP/oxwuW98+BnROynJFtce/BkhcvQZ0VsQIObn9+jPCJ5+j+htNDrfHz3wM4Kn3yN6p6dDVCi4+IxQeJjqSggAgHWAVqtl69at68ihneLAgQMMANuwYYPLa7169WI33nijy/bTp08zAOzVV1/t8PsuXbqUAXD5Y7D1Dzf9eeABVlRUxE5t3+68vfFPdnY2y87OZnWDB7u8VrhqFcvOzmamV15xea16xAhmMpmYtbLS7XkrT5xgx48fZ8bRo11eK5k3j2VnZ7OCV191ea3+0ktZdnY2y8/PZ0ytdnm9bPduxhhjtffd5/q+8+ez/Px8lrdpk8trloQEx7Wa4+NdXs/btIllZ2czy9NPu7xWdffdzGq1sobDh13fU61m1dXVLDs7m9VfeqnL6wWvvsqys7NZybx5Lq8ZR4+2vXbsmNvvYfmZM4wxxuquu8719fXr2enTp1nhqlUur9UNGeK4VnfnPbV9O8vOzmbS/fe7vueMGbb3/Oc/XY/NyGBVVVW271NkpMvruR99xLKzs1nF1KmuPw/33ceys7NZ5c6dLq9ZQ0JYVVUVY4yxhsxM1/f917/YiRMnWOns2S6vGcaPZ9nZ2Sxn92631/r7L7+wEydOMDZypOvP0ooVtp+ldetcjx05kp07d479/ssvbs+bs3s3y87OZobx411eK509m2VnZ7PqzZtdXjNlZLDS0lImyzKzhoS4fi/277d9n9z8fFdMncqys7NZ7kcfuf58R0ay7Oxsdvr0acYyMlyv9e9/t13rM8+4Xo+PPiNMZ8+y7Oxs+oygzwjGYPuMOH78OCvets31vuhhnxHV1dWMMcbNZ4RMnxG276GvPyPmznV5rad9RvD2e0TR8uVMlmU+PiMIaUG3WKfbXkhtw4YNmDZtmtNrAwYMQHx8PHbt2uW0/fjx4+jfvz/eeustTJ8+vUPv666nOzU1FZXffYdwH/d0M8aQExiIjL59odDr6Qm1D3ux5IMHUVBQgNTU1KZ1JOkJte2afNCLJanVOK1Wo0+fPrbzUk+3T3uxZFlGQUEB0tLSIKjVPfIzgqdeLCk5GWd+/RWZjd/7nvgZwVNPt+P+GDwYQq9ePfIzwvEzxsHvEVJREQr377d9Xtnvjx72GcHT7xGyLCNXkpCRlQWxstLnnxHU001actFJ9w8//IAjR47AaDQiPDwcQ4YMwYgRI7zVvjZpKekeO3YsCgsLcbzxPym7Xbt2YcyYMfjiiy9w6623eqUdRqMRGo0GBoPBZQ55V5MkCTk5OcjMzITCvpQX8QmKBV8oHnyhePCF4sEXigdfKB58oXgQf9LhJcN+/PFHPPzwwzh16hQAW8+qvRcvMzMTGzZswFVXXeWdVl6EIUOGYPfu3Y6HAnb79u1zvE4IIYQQQgghhHSGDpX8++233zBu3Djk5ORgzJgx+Mtf/oINGzZgxYoVGDt2LE6ePInx48e79C77wsSJEyFJEv72t785tjU0NGDDhg3IyspCamqqD1vXeQRBgFqtbhrOTHyGYsEXigdfKB58oXjwheLBF4oHXygexJ90aHj5Pffcg3/+85/44osv3FYo3759O2677Tbcdddd+Pjjj73SUHfWr1+P8+fPo6ioCG+++SbuuusuXNY4r+nJJ5+ERqMBAEyePBn//Oc/MXv2bPTu3RubNm3C/v37sWvXLlx33XVeaw9Pw8sJIYQQQgghhPheh5Lu+Ph43HDDDfjoo4887nP//fdj165dKC0tvagGtkSr1SIvL8/ta7m5udBqtQAAk8mExYsX48MPP0RVVRUGDRqE559/HuPHj/dqe3hKuhljMBgM0Gg09ATQxygWfKF48IXiwReKB18oHnyhePCF4kH8SYeGlxsMBuh0uhb30el0MDRWuuwser0ejDG3f+wJNwAEBgZi9erVKC4uhslkwv79+72ecPNGlmWUlJQ4V7MkPkGx4AvFgy8UD75QPPhC8eALxYMvFA/iTzqUdCclJeF///tfi/vs27cPSUlJHWoUIYQQQgghhBDSHXQo6b7tttuwZ88eLF68GCaTyek1k8mEpUuXYvfu3bj99tu90khCCCGEEEIIIcQftTnpVigUeP755wEAixcvhk6nw4oVK5CWloZbbrkFjzzyCG655Rakp6fj+eefh06nw+LFizut4aRlgiAgJCSE5rhwgGLBF4oHXygefKF48IXiwReKB18oHsSftLmQmiiKWLZsGZYsWQIAKC8vx9y5c/Hxxx879XYHBgbivvvuw6pVqxATE9M5reYUT4XUCCGEEEIIIYT4XoeGlwNATEwM3n//fRgMBvzyyy/473//i19++QUGgwHvvfdej0u4eSPLMsrLy6m4BAcoFnyhePCF4sEXigdfKB58oXjwheJB/EmHk247lUqFgQMHYsSIERg4cCBUKpU32kUuEmMM5eXl6MCKcMTLKBZ8oXjwheLBF4oHXygefKF48IXiQfxJu5JumjNBCCGEEEIIIYS0XbuS7mXLlkGhULT5j1Kp7Kx2E0IIIYQQQggh3GtXVhweHo6IiIhOagrxJkEQoNFoaHQCBygWfKF48IXiwReKB18oHnyhePCF4kH8SYerlxNXVL2cEEIIIYQQQkhzF11IjfBJlmUUFxdTRUcOUCz4QvHgC8WDLxQPvlA8+ELx4AvFg/gTSrq7KcYYDAYDVXTkAMWCLxQPvlA8+ELx4AvFgy8UD75QPIg/oaSbEEIIIYQQQgjpJJR0E0IIIYQQQgghnaTN1ctpvoR/EQQBMTExVNGRAxQLvlA8+ELx4AvFgy8UD75QPPhC8SD+pM3Vy0nrqHo5IYQQQgghhJDmaHh5NyXLMs6ePUsjFDhAseALxYMvFA++UDz4QvHgC8WDLxQP4k8o6e6mGGOora2lio4coFjwheLBF4oHXygefKF48IXiwReKB/EnlHQTQgghhBBCCCGdhJJuQgghhBBCCCGkk1DS3U2JooiEhASIIoXY1ygWfKF48IXiwReKB18oHnyhePCF4kH8CVUv9yKqXk4IIYQQQgghpDl6NNRNybKMM2fOUEVHDlAs+ELx4AvFgy8UD75QPPhC8eALxYP4E0q6uynGGMxmM1V05ADFgi8UD75QPPhC8eALxYMvFA++UDyIP6GkmxBCCCGEEEII6SSUdBNCCCGEEEIIIZ2ECql5EU+F1BhjqK2tRUhICARB8GlbejqKBV8oHnyhePCF4sEXigdfKB58oXgQf0JJtxfxlHQTQgghhBBCCPE9Gl7eTUmShJMnT0KSJF83pcejWPCF4sEXigdfKB58oXjwheLBF4oH8SeUdHdjtIQCPygWfKF48IXiwReKB18oHnyhePCF4kH8BSXdhBBCCCGEEEJIJ6GkmxBCCCGEEEII6SRUSM2LeCqkxhiD2WyGWq2mio4+RrHgC8WDLxQPvlA8+ELx4AvFgy8UD+JPqKe7G1Mqlb5uAmlEseALxYMvFA++UDz4Qi9GbsAAAFDwSURBVPHgC8WDLxQP4i8o6e6mZFlGTk4OFZjgAMWCLxQPvlA8+ELx4AvFgy8UD75QPIg/oaSbEEIIIYQQQgjpJJR0E0IIIYQQQgghnYSSbkIIIYQQQgghpJNQ9XIv4q16uSzLEEWRKjr6GMWCLxQPvlA8+ELx4AvFgy8UD75QPIg/oZ7ubsxqtfq6CaQRxYIvFA++UDz4QvHgC8WDLxQPPjBJQu3+/Tj/5Zeo3b8fTJJ83SRCWkRJdzclyzJyc3OpoiMHKBZ8oXjwheLBF4oHXygefKF48MG4YwdO3TAGZ6dOQ9n8BTg7dRpO3TAGxh07fN00QjyipJsQQgghhBDCPeOOHSic9RSsJSVO262lpSic9RQl3oRblHQTQgghhBBCuMYkCaUrVgLuylE1bitdsZKGmhMuUdLdjYkihZcXFAu+UDz4QvHgC8WDLxQPvlA8uh6TJJjPnkXF+++79HA778hgLSlB3cFDXdc4QtqIqpd7EU/VywkhhBBCCPEX1qoqmPV6mHP1MOfmwqzPRUNuLix5+WAWS5vPk/Tyy9DccnMntpSQ9lP6ugGkczDGUFtbi5CQEFpGwccoFnyhePCF4sEXigdfKB58oXhcPGY2w3z2LMy5toTakWDn5kI6f97jcYJaDWVsLCyFha2+hzI21ostJsQ7KOnupmRZRkFBATIzM6FQKHzdnB6NYsEXigdfKB58oXjwheLBF4pH2zDGYC0719hrbUuoG/S2BNtSUAC0UP1dmZAAtU6LAJ0Oaq0Oap3tjyoxAQBw6oYxsJaWup/XLQhQxscj+IqhnXVphHQYJd2EEEIIIYSQdpHr6mDOy3PttdbrIdfWejxODA52JNOOBFungzo9HWJwcIvvGb9wAQpnPQUIgnPi3TjyIH7hAgj0QIRwiJJuQgghhBBCiAsmy7AUFTt6rO3zrM25+paLmokiVCkptqS6WY+1WquFMi62w8Pzw8eNA9atRemKlU7vr4yPR/zCBbbXCeEQJd3dlCAIUKvVNOeIAxQLvlA8+ELx4AvFgy8UD75053hIRqPbedbmvDwws9njcYqICKdea7XW1nOtSkuDqFZ3SlvDx41D2A03oPbAARQfP47Efv0QMmwY9XATrlH1ci+i6uWEEEIIIYRHzGKB+WwBzPpclwRbqqz0eJygUkGVntY0z1qrdSTZysjILrwCQvwX9XR3U4wxGAwGaDSabvlE1p9QLPhC8eALxYMvFA++UDz44g/xYIxBqqhw32tdUABIksdjlXFxLj3Wap0OquRkLnuR/SEehNhR0t1NybKMkpIShIWFUYVNH6NY8IXiwReKB18oHnyhePCFp3jIJpOjiJlTgq3XQ66u9nicEBTUOM9a61QdXK3VQhEa0oVXcPF4igchraGkmxBCCCGEEM4wWYa1pMS1x1qvh6W42P2yWQAgCFAlJzsNA7f3Wivj46lXmBAfoKSbEEIIIYSQFjBJQt3+/WDHfkVdVRVChw/32pBrqabGtcfaXsTMZPJ4nBge7lodXKe1Lb0VEOCVthFCvIOS7m5KEASEhITQ00wOUCz4QvHgC8WDLxQPvlA8+GDcscNpiaoCAMqEhHYtUcWsVlgKClx6rRvy9JDOlXs+UKmEOjXVdU1rnQ6KyMge/bNB9wfxJ1S93IuoejkhhBBCSPdh3LEDhbOech3K3ZjoJa9b60i8GWOQqqqce631jfOuz54FLBaP76OIibHNs27WYx1gL2KmUnXW5RFCuggl3V7EU9ItyzIqKysRFRUFURR92paejmLBF4oHXygefKF48IXi4VtMknDqhjGOHm53xNBQhF5/PSx5eWjQ6yEbDB73FQIC3M6zVmu1UISFdcYldGt0fxB/QsPLuynGGMrLyxFJ6yf6HMWCLxQPvlA8+ELx4AvFw3cYYzDu+HeLCTcAyDU1MH7xhdM2ZVKiyzzrAK0WysRECJQceg3dH8SfUNJNCCGEEEJ6JKmmFma9c2XwBr1tWDirq2vTOcImjEf4+PG2BDs9HWJQUCe3mhDibyjpJoQQQggh3RaTJFgKC5vNs9Y7iplZy8o8HyiKgCy3ev7I++5HSNZwL7aYENLdUNLdTQmCAI1GQxUdOUCx4AvFgy8UD75QPPhC8Wgfa1WVLZm291zrbUm2JS8frKUiZlFRTsPA7cPCVYmJOH3jTbCWlrpfE1sQoIyPR/AVQzvxqogndH8Qf0KF1LyIp0JqhBBCCCHdjWw2w5KfbxsGfsHyW9L58x6PE9RqqNPTm+ZZa7UI0NkSbIVG4/E4R/VywDnxdlO9nBBCPKGk24t4SrplWUZpaSni4+OpoqOPUSz4QvHgC8WDLxQPvvTUeDDGYC075zTXukFvS7AtBQUtDvlWJiQ0VQa/oNdaUCg61J4L1+m2v0971ukm3tdT7w/in2h4eTfFGIPBYEBcXJyvm9LjUSz4QvHgC8WDLxQPvnT3eMh1dTDn5TXNtbb3Wuv1kGtrPR4nBgc79Vg3T7LF4GCvtzN83DiE3XADavbvR8GxX5EycABChw/vcBJPvKO73x+ke6GkmxBCCCGEdAomy7AUFTerDt6UYLe4HJcoQpWS4jzPunEZLmVcbJfP4xUUCgQPHw4hMhLBmZmUcBNC2oWSbkIIIYQQclEko9G1xzo3F+a8PDCz2eNxioiIZj3WOkevtSotDaJa3YVXQAghnYeS7m5KEATExMRQRUcOUCz4QvHgC8WDLxQPvvAWD2axwHy2AGZ9rnOCrddDqqjweJygUkGVntY0z7qxx1qt00IZGdmFV3BxeItHT0fxIP6ECql5EU+F1AghhBBC2osxBqmiwiWpNufmwlxQAFitHo9VxsW5zrPW6aBKSoKgpH4eQkjPRZ+A3ZQsyygsLERycjJVdPQxigVfKB58oXjwheLBDyZJqD1wAGUnTiLukj4IGTbMq/OIZZPJUcTMXrysoXFYuFxd7fE4ISioaZ61o8falmgrQkO81j4e0f3BF4oH8SeUdHdTjDHU1taCBjL4HsWCLxQPvlA8+ELx4MOFS1SdRceWqGKyDGtJiWuPdW4uLMXFzutONycIUCUnu8yzVut0UMbH99jhvHR/8IXiQfwJJd2EEEIIIZww7tiBwllPuSTE1tJS2/Z1a10Sb6mm5oIe66Ykm5lMHt9L1Ggae6yb1rNW67RQp6dDDAjohKsjhJCeiZJuQgghhBAOMElC6YqV7nugG7eVLF0G89kCWOzrW+tzIZ0r93xSpRLqtDSXedZqnQ6KyMge22tNCCFdiZLubkoURSQkJNAcFw5QLPhC8eALxYMvFA/fqj14sOW1qwFIVVU4t3q1y3ZFbAwC0p17rAN0OqhSUqiImZfQ/cEXigfxJ1S93IuoejkhhBBCWiM3NNiKmOn1Tmtam06eBKuvb/X4wEGDEDLi6qZea60WirCwLmg5IYSQjqBHn92ULMvQ6/XQarX0BNDHKBZ8oXjwheLBF4qH9zDGYC0tdRQvc8yzzs2FpagIkOUOnzvuz39GSNZwL7aWtAXdH3yheBB/Qkl3N8UYg9lspoqOHKBY8IXiwReKB18oHu0n19ai4YIe6wZ9Lsz6PLC6Oo/HiaGhLpXBVWlpKHj8T7CWlbmf1y0IUMbHI/iKoZ14RcQTuj/4QvEg/oSSbkIIIYSQFjBJgqWoqCmpbtZrbS0r83ygQgF1SorLPGu1TgdFdLTbImbxzy60VSkXBOfEu3Hf+IULvLpeNyGEkM5HSTchhBBCCADp/HmnhNqstyXYlrx8MIvF43GKqCiXpFqt1UGdkgxBrW5XG8LHjQPWrXVapxsAlPHx7V6nmxBCCB+okJoX8VRIjTGG2tpahISE0HIgPkax4AvFgy8UD770hHgwsxnms2ddeqzNubmQzp/3eJygVkOdnu7aa63VQqHReL+dkoTagwdRe7YAIakpCLniCurh9rGecH/4E4oH8SeUdHsRT0k3IYQQ0lMxxmA9d851nnWuHpaCghaLmCkTEpol1E1rWqsSEyjpJYQQ0iE0vLybkiQJp0+fRkZhIRRr1gCHDgHFxcA//wnccYfzzowBS5cC77wDnD8PjBgBvPkmkJnZ8puUlAArVwLbtgEFBYBGA/TuDTz4IDB1KhAcbNtPqwXy8mz/FkUgPh648Ubg5ZeByEgvXzl/HLHIyICCfmHzOYoHXygefPG3eMh1dbalty7stdbrIdfWejxODA52O89anZ4O0f5/Fwf8LR7dHcWDLxQP4k8o6e7GZFkGamuBwYOBP/wBuOsu9zu+9BLw2mvApk2ATgcsXgyMHw8cPw4EBro/5swZW3IeEQGsWAEMHAgEBADHjgF/+xuQnAzcdlvT/suXA48+CkgScPIk8NhjwMyZwN//7vXr5pF8EUvDEO+jePCF4sEX3uLBZBmWomJHj7V9nrU5V+8059mFKEKVkmJLqpv1WKu1WijjYv1mOCpv8ejpKB58oXgQf0FJd3d3443ALbd4fp0xYO1aYNEi4Pbbbds++MDWG/3558C997o/7k9/ApRK4OBBICSkaXuvXrbzXDhrISwMSEiw/Ts52dYT/o9/dPSqCCGEdDOS0ei2x9qclwfW0ODxOEVEhNt51qq0NIjtLGJGCCGEdAZKuptpaGjA448/jp07d+L8+fPo168fXn31VVx11VW+blrnyc21DRMfM6Zpm0YDZGUBP/3kPumuqAB27LD1cDdPuJtrqQehsBD48kvbexBCCOkxmMUC89kCmPUXLL2l10OqqPB4nKBSQZWedsE8a62t17oHTFMihBDi3yjpbsZqtUKr1WLv3r1ISUnBJ598gltvvRV6vR6hoaG+bl67iKIInU4HURRb3tE+NC8+3nl7fHzTaxc6dcrWk33JJc7bY2IAk8n27yeeAFatanpt3jxbb7ok2fbJygLWrGn7BfmxNseCdAmKB18oHvxgkoT6gwcRW1yMeoOhw9WyGWOQKirc91oXFABWq8djlXFxLj3Wap0OquTkHlnEjO4PvlA8+ELxIP6Eku5mQkJCsGTJEsfX9957L+bMmYMTJ05g6NChPmxZxyiVXRze/fttFWEfeAC4cCjgM88A06bZkvWzZ4GFC4Gbbwb+8x+gB/wi1eWxIC2iePCF4uF7xh07XNeFTkhocV1o2WRyFDG7sNdarq72+F5CcDDU2nSXedZqrRaKUA+jp3owuj/4QvHgC8WD+Asuf1JramqwevVq7Nu3D/v370dVVRU2bNiAadOmuezb0NCAJUuW4O9//zuqqqowaNAgvPDCCxg7duxFtyMnJweVlZXo3bv3RZ+rq8myjJycHGRmZrZc0dE+z7q0FEhMbNpeWgoMGeL+mN69bcPHT5xw3t6rl+3voCDXY2JibMcBtqroa9cCV10F7N7tPLS9G2pzLEiXoHjwheLhe8YdO1A46ymXWhzW0lIUznoK0tKlUKWmOPdY5+bCUlzsWr/DThCgSk5222utjI/3myJmvkb3B18oHnyheBB/wmXSXV5ejuXLlyMtLQ2DBw/Gnj17PO47bdo0bN26FU899RQyMzOxceNG3HTTTdi9ezeuueaaDrehvr4eDz74IBYsWACNRtPh83BPp7Ml3rt2NSXZRiOwbx/w+OPuj4mOBsaOBdavB5580vO87pbYPxzr6zvUbEIIIRePSRJKV6x0nzw3bitZtszj8aJGg4DGZNrRY63T2pbeCgjopFYTQggh/oXLpDsxMRHFxcVISEjAwYMHMWzYMLf77d+/Hx9//DFWr16Np59+GgAwZcoUDBgwAHPnzsWPP/7o2Peaa67BDz/84PY8zz77LF544QXH1xaLBZMmTULv3r2dhpv7pZoaW7E0u9xc4MgRICoKSEuz9Vg/9RTwwgu2Hmj7kmFJSa7reTf3xhu2JcOuuAJYtgwYNMi2BveBA8DvvwMXDsevrrbNEbcPL587F4iNBa6+2vvXTAghxAWzWmEpKHCaZ11/9GjLy241UiYmIrBfPwQ0Fi+zJ9mKyEjqtSaEEEJawWXSHRAQgAT7sOcWbN26FQqFAo899phjW2BgIB555BEsXLgQZ8+eRWpqKgBg7969bXpvWZbx0EMPQRAEbNq0yf9/mTh40Hn49pw5tr+nTgU2brT9e+5c23rejz0GnD8PXHMNsH275zW6ASAjA/j5Z1sF8wULgIIC2zrd/foBTz9tW1KsuSVLbH8AW7I9bJitAnp0tLeulBBCejzGGKSqqmZrWuvRYB8WfvYsYLF06Lxxf/4zNLfc7OXWEkIIIT0Dl0l3W/3888/o06cPwsPDnbYPHz4cAHDkyBFH0t1W06dPR3FxMb799lu/Ls4giiIyMzMhXnKJ5zl3doIALF9u+9MeiYnA66/b/rREr2/febsZRyyouiYXKB58oXh0jNzQ0FjEzHmedYNeD9lg8HicEBjYNARcqwVkGRVv/63V91PGxnqx9aSt6P7gC8WDLxQP4k/8N6sEUFxcjMTmxb8a2bcVFRW163x5eXl49913ERgYiJiYGMf2b775Btdee63L/g0NDWhoVqXbaDQCAKRDhyA1LjEmCALE6GjI6elg9fXA8eNN20URsiyDXXaZ7QQnTkCsr4cgCLbtjAFaLRAVBbGiAkJBASRJampAWJgtqZYkyD//7NQ2QRBgueQSKIOCIJw5AzT+EqZQKMAYg5yYaFsWrKoKgl4PURRt22XZVgjt0kttbfzlF8iSZGuL/dz9+kEMCYGcmwtWXu70nmJiIuTERDCjEcjJAWD7UBQEAbJCATZggG3nY8cgShIEQWi6psxM2zUVFwOlpba22EVHQ9TpgPp6yL/95nStCqUSbMgQ2/7Z2UDj99BxTenpQGQkUFoKoaio6fvOmG1N8owMCFYrxN9+a9puv6YhQyCqVJBPnLBdUyNRFCGkpUGOjgarqHA8WLBfqxQY6FhSjR06BEmSoFKpINvP3a8fEBgIMS8PqKpyvtbERChSUsAMBsgnTzp/f4OCwPr1s+1/9ChgtTr/LGVmAqGhQEEBhHPnnK81JgZIS4NQXw/x5EnnaxVFiJdfbovTr7/aflabX2tGBqSwMNsUgcb7yv6fnBwebiuiZzYDv/7atN1+TUOGAKIIxenTYNXVTtcqpKdDjIsDO3cOcrOHM4IgQAwPh9y7N5gk2aZE4IL7pn9/QK0GzpyBYDA4X2tSEpCQANFohJCb63StLCAA1j59EBAQAOnQIVvF/WbXir59IQcGAvn5QOPPt+OaYmKAlBTbtI2TJ5vuJ1kGlEpg0CBbG7OzwUwm52vNzIQYEQG5sBCs2WeTrz4jRFEEBg6ErFAAp0/77DOCMQZJkqBWqyErlT3yMwKHD7veN/36gQUEQD50CNbjx2EuLISlqBjWoiKYKipgKi+HaLVCfUHPtVIQYA4MhDIxESHh4VAlJECVnAR1cjKUiYkQr7wSQni44zNCYAymv38IqaoSVlEBq0oFQZYRYDY3XiCgiIpGgCiAMdYjPiMQGAhxwABbnHz8GcEYg9VqRUBCAmSttkd+Rjh+xjj4PYKVlMCal4eAgADIjPn8M6Kn/x7BGIMlMRGBKSlcfEYoPEyHJQQAwDh34MABBoBt2LDB5bVevXqxG2+80WX76dOnGQD26quvdmrbli5dygC4/DHY+pab/jzwACsqKmKntm933t74Jzs7m2VnZ7O6wYNdXitctYplZ2cz0yuvuLxWPWIEM5lMzFpZ6fa8x7//nv3222/MOHq0y2sl8+ax7OxsVvDqqy6v1V96KcvOzmb5+fmMqdUur5ft3s0YY6z2vvtc33f+fJafn8/yNm1yec2SkOC4VnN8vMvreZs2sezsbGZ5+mmX16ruvptZrVbWcPiw63uq1ay6upplZ2ez+ksvdXm94NVXWXZ2NiuZN8/lNePo0bbXjh1z+z0sP3OGMcZY3XXXub6+fj07ffo0K1y1yuW1uiFDHNfq7ryntm9n2dnZTLr/ftf3nDHD9p7//KfrsRkZrKqqyvZ9iox0eT33o49YdnY2q5g61eW1yvvuY9nZ2axy506X16whIayqqooxxlhDZqbr+/7rX+zEiROsdPZsl9cM48ez7OxslrN7t9tr/f2XX9iJEycYGznS9WdpxQrbz9K6da7HjhzJzp07x37/5Re3583ZvZtlZ2czw/jxLq+Vzp7NsrOzWfXmza4/3xkZ7JdffmFWq5VZQ0Jcvxf799u+T25+viumTmXZ2dks96OPXH++IyNZdnY2O336NGMZGa7X+ve/2671mWdcr8dHnxGms2dZdnY2fUZw+BmRc91IdnzwEHY+LNz1+xsdzY5f0pfl93a9V6W0NFZZXNyhz4iKiAh2/JK+7Ey61vW+6EGfEaaMDFZdXc0YY9x8Rkj330+fEfD9Z0Sxm9jQ7xG+/Yw4NX8+s1qtfHxGENICgTHGfJjzt8peSM3dkmEDBgxAfHw8du3a5bT9+PHj6N+/P9566y1Mnz6909rmrqc7NTUVld99h3Af93QzxpATGIiMvn2h0OvpCbUPe7HkgwdRUFCA1NTUphoB9ITadk0+6MWS1GqcVqvRp08f23mpp9unvViyLKOgoABpaWkQ1Opu+xnBzpyBtawMUnExLEVFaDh3DvXVNTDr9VDl5+NCDWo1mChCJUkIiImBMikRqqQkKJOSoRw0EIFZWRCVSrDGz1nH97eDnxG1//sfyv/+IUwGg6OnWxEdjciHpyE4K6tHfUbw1NPtuD8GD4bQq1eP/Ixw/Ixx8HuEVFSEwv37bZ9XgtBlv0dQT/cQt58RsiwjV5KQkZUFsbLS558R1NNNWuLXSffYsWNRWFiI443/Adnt2rULY8aMwRdffIFbb721y9pqNBqh0WhgMBhc5pl3NUmSaO1CTlAs+ELx4Et3i4e1qsp5nrU+Fw25ubDk5YO1UMRMERXlvKa1Tge1Vgd1agoElapL2s4kCTX796Pg2K9IGTgAocOHQ+gGMfFn3e3+8HcUD75QPIg/8es53UOGDMHu3bthNBqdktx9+/Y5Xu/JqLAEPygWfKF48MXf4iGbzbDk59uW3tLrm5Ls3FxI5897PE5Qq6FOT29a09qeYGu1UGg0XXcBntqnUCB4+HAooqMRnJFBCTcn/O3+6O4oHnyheBB/4dc93fv27cOVV17ptE53Q0MDBgwYgOjoaPzvf//r0rby1NNNCCGk4xhjsJada+yxtq1r3dD4t6WgwGnI8YWUCQnNEmqdI8lWJSZQIksIIYT0QNz2dK9fvx7nz593VCD/8ssvUVBQAAB48sknodFokJWVhUmTJmHBggUoKytD7969sWnTJuj1erz33nu+bL7PMcZQW1uLkJAQ/19r3M9RLPhC8eCLr+Mh19U1rmV9Qa+1Xg+5ttbjcWJwsGuPtU4HdXo6xODgLrwC7/J1PIgzigdfKB58oXgQf8JtT7dWq0VeXp7b13Jzc6HVagEAJpMJixcvxocffoiqqioMGjQIzz//PMaPH9+FrbXhqaeb5rnwg2LBF4oHX7oiHkySYCkubhwC3jTP2pyrh7WkxPOBoghVSootqW7WY63WaqGMi+2Wv+TR/cEXigdfKB58oXgQf8JtT7e+WQXClgQGBmL16tVYvXp15zaIEEKIVzFJQt3+/WDHfkVdVdVFF+6SDAaYc3PRcME8a3NeHph93Wk3FBERTr3Waq2t51qVlgZRre5wewghhBBCAI6TbkIIId2XcccOlK5Y6ehpLoBtLnT8wgUIHzfO43HMYoH57NnGoeBNPdbm3FxIlZUejxNUKqjS05rmWWu1jiRbGRnp7csjhBBCCHGgpLubEgQBarW6Ww5/9DcUC75QPHzPuGMHCmc9BVwwu8laWmrbvnYtgi+/zG11cHNBAdB8neELKOPiXHqs1TodVMnJVMSsDej+4AvFgy8UD75QPIg/4XZOtz/iaU43IYTwiEkSTt0wpuW51ILgkpA7vRwU1DjPWutUHVyt1UIRGtIJrSaEEEII6Tjq6e6mGGMwGAzQaDT0BNDHKBZ8oXh0LSbLsBYXO+ZZ1/7vfy0n3IAj4ValpDgNA7f3Wivj4yl2nYTuD75QPPhC8eALxYP4E0q6uylZllFSUoKwsDCq6OhjFAu+UDw6h1RT4xgC3nyetTkvD8xkavf5El9ciYg77vB+Q0mL6P7gC8WDLxQPvlA8iD+hpJsQQkibMKsVloIC56S6sVq4VF7u+UClEurUVKh1OgiBAaj++ptW30uVmOTFlhNCCCGE+A4l3YQQQhwYY5Cqqlx7rfV6mM+eBSwWj8cqYmMQkK51Wn4rQKeDKiUFgtL23w2TJJw6/DOspaXu520LApTx8Qi+YmhnXSIhhBBCSJeipLubEgQBISEhNMeFAxQLvlA8bOSGBpjz8i7osc6FWZ8H2WDweJwQGAh1errLPGu1VgtFWFir7ysoFIhfuMBWpfzCgmmNMYlfuIAqjfsI3R98oXjwheLBF4oH8SdUvdyLqHo5IYQnjDFYS0tde6xzc2EpLGyxQrgyKREBzSuDNybYyoQECKJ40W27cJ1uoG3rdBNCCCGE+BtKur2Ip6RblmVUVlYiKioKohd+QSYdR7HgS3eMh1RT60im7X/be61ZXZ3H48TQUNcea50O6rQ0iEFBnd5uJkmoPXAA53P1iNBpETJsGPVw+1h3vD/8GcWDLxQPvlA8iD+h4eXdFGMM5eXliIyM9HVTejyKBV/8NR5MkmApLHQk1s2LmVnLyjwfqFBAnZLi0mOt1umgiI726bA8QaFA0LBhKIiIQGJmJiXcHPDX+6O7onjwheLBF4oH8SeUdBNCCEesVVVOw8DNetvQcEtePlhLRcyiotzOs1anpEBQq7vwCgghhBBCSHOUdBNCSBdjZjPMZ8+6rmmdmwvp/HmPxwlqdbMiZs0SbK0WCo2m6y6AEEIIIYS0GSXd3ZQgCNBoNFTRkQMUC750VTwYY7CWnWvqsbbPs87Vw1JQAMiyx2OVCQnNEuqmBFuVmNjthmDT/cEXigdfKB58oXjwheJB/AkVUvMingqpEUJcMUlC3cFDsJ47B2VsLIKvGHrRSaxcV9e49NYFvdZ6PeTaWo/HicHBbnus1VotxODgi2oTIYQQQgjhB/V0d1OyLKO0tBTx8fFU0dHHKBZ8uJglqpgsw1JU7Oixts+zNufqnc7nQhShSkmxJdXaZvOsdToo42Lp6Tzo/uANxYMvFA++UDz4QvEg/oSS7m6KMQaDwYC4uDhfN6XHo1j4nnHHDhTOesplXWpraalt+7q1CB83DpLR6LbH2pyXB9bQ4PH8iogIp15rtdbWc61KS4NIRcxaRPcHXygefKF48IXiwReKB/EnlHQTQro1JkkoXbHSJeG2vWjbVvjnp1EcFga5stLjeQSVCqr0NOd51lot1DotlLRcCSGEEEII8YCSbkJIt8MYg1RRAXNuLozffdfyEHAAsFgcCbcyLs51nrVOB1VycrcrYkYIIYQQQjofJd3dlCAIiImJoTmjHKBYdB7ZZHIUMbMPBW9oHBYuV1e361wxTz2FqAcfhCI0pJNaS9yh+4MvFA++UDz4QvHgC8WD+BOqXu5FVL2cEO9jsgxrSUnTPOtmS3BZiovdDxsHAEGAKjkZishImI4da/V90jZtQkjWcC+3nhBCCCGE9HTU091NybKMwsJCJCcnU0VHH6NYtI1UU9O0nrW9gFljks1MJo/HiRoNAhqHgDefZ61OT4cYEAAmSTh1wxhYS0vdJ+iCAGV8PIKvGNqJV0c8ofuDLxQPvlA8+ELx4AvFg/gTSrq7KcYYamtrQQMZfI9i0YRZrbAUFLj0WjfocyGdK/d8oEoFdWpqY1Kdbptr3fhHERnZ4tAyQaFA/MIFtirlguCceDceF79wAc3X9hG6P/hC8eALxYMvFA++UDyIP6GkmxDiVYwxSFVVbudZm8+eBSwWj8cqYmMuWM+6cemtlBQIyo5/XIWPGwesW+u6Tnd8fJvW6SaEEEIIIaSjKOkmhHSI3NDQWMTMeZ51g14P2WDweJwQGNg0BLxxPWt7kq0IC+u09oaPG4ewG25Azf79KDj2K1IGDkDo8OHUw00IIYQQQjoVJd3dlCiKSEhIoDkuHPDnWDDGYC0tbdZj3TgsPDcXlsLClouYJSY267FuWoJLmZAAwUffC0GhQOiVVyLx0ksRqtFQxVMO+PP90R1RPPhC8eALxYMvFA/iT6h6uRdR9XLir6Sa2qbe6mbzrM36PLC6Oo/HiWFhUOt0CGjstXYUM0tPhxgY2IVXQAghhBBCCJ+op7ubkmUZer0eWq2WngD6GC+xYJIES2Gh215ra1mZ5wMVimZFzJrmWat1Oiiio/2ut5iXeBAbigdfKB58oXjwheLBF4oH8SeUdHdTjDGYzWaq6MiBro6FtarKkUyb9XqY9bYluCx5+WAtFTGLjnYzz1oHdWoKBJWqS9reFeje4AvFgy8UD75QPPhC8eALxYP4E0q6CelETJJQt38/2LFfUVdV5bXCXbLZDEt+vkuPtTk3F9L58x6PEwICoE5Pd5lnrdZqodBoLrpdhBBCCCGEEGeUdBPSSYw7djgtUVUAQJmQ0OYlqhhjsJadc51nnauHpaAAkGWPxyoTE5vmWWub1rRWJSX6rIgZIYQQQgghPREVUvMingqpMcZQW1uLkJAQv5tz2x0Yd+xA4aynXKt7N8Yied1aR+It19U1DgO/oNdar4dcW+vxPcTg4KbCZc3mWavT0yEGB3fWpfk9ujf4QvHgC8WDLxQPvlA8+ELxIP6Ekm4v4inpJr7DJAmnbhjj6OF2RwgORuCggbDo81rcD6IIVUqKLalu1mOt1mmhjI2l/2QIIYQQQgjhHA0v76YkScLp06eRkZEBhRfmEJO2kQwGGLZtazmRBsDq6lD/v32OrxWRka7zrHU6qFNTIajVnd3sHoXuDb5QPPhC8eALxYMvFA++UDyIP6GkuxuTW5jzSzqOWSwwny2AWW8rXNZ8SLhUWdnm80Tccw80d9yOAJ0OioiIzmswcUH3Bl8oHnyhePCF4sEXigdfKB7EX1DSTYgbjDFI5eVuq4ObCwoASfJ4rBgRAbmFCuJ24TfdhODLLvNiqwkhhBBCCCG8oaSb9GhyfT3M+fmOhNqRYOv1kKur/397dx4e09n+Afw72WeyTCSyEkls1YolJWppCLFEQ4itsVRQfdXylr5IhbdC7KqWVqNqLSVvEC2l1hRt7VVrS20JEhKC7GSZeX5/aOZnOpMIzSQn4/u5rlyXPPOcM885tzOT+5zz3KfE5WQKBSy8PHXmWVt6eUFmZfVkTndamm4hNQCQyWDm4gJF82YG3DIiIiIiIpICFlIrR1IqpCaEQEFBASwsLF76YltCrUZRaqrOFev8pEQU3b5T8oIyGcxr1NCdZ+3tDTNn51L3q6Z6OaCdeOupXk4Vi8eGtDAe0sJ4SAvjIS2Mh7QwHlSVMOkuR1JLutVqNUxMTF6aDyJVTo7uFevERBTcuAHx+HGJy5kolbDUFDF7kmBbeHk9efSWpeULj+fvz+kGnu853WQYL+OxIWWMh7QwHtLCeEgL4yEtjAdVJUy6y5GUkm6VSoUrV66gXr16RlXRURQVoTA5Wc9V6ySo0tNLXtDcHBYeHrDw9oal918J9l+Jtmm1agb7sBYqFXJOnEDy+Quo2cgHNi1aQGZE8aiKjPXYqKoYD2lhPKSF8ZAWxkNaGA+qSjinmyRHCAHVw4f6r1rfugUUFZW4rKlTde151l6esPT2hnnNmpCZVfx/d5mpKRQtWkBWrRoU9eox4SYiIiIieskw6aZKo87PR8GNGzrzrAsSk6DOyipxOZmV1V9XqZ/cBq6Za+3lBVNb2wrcAiIiIiIiotIx6SaDEkKgKC1N94p1UhIKU1L0V/cGnhQxc3PTug28uJiZmasrZCYmFbshREREREREL4BzusuRlOZ0V3RxCVVOLgqSnnqWdVIi8v969JZ49KjE5UxsbbVuA9fcFu7pCRMrK4OPuyKw0Ie0MB7SwnhIC+MhLYyHtDAe0sJ4UFXCK91GSKhUyP31V+TfuQNLNzdYN29eLnOJhUqFwpQUvVeti+7eLXlBU1NY1Kyp/Tzrv/5t6uj4UnxQFhUVwcLCorKHQX9hPKSF8ZAWxkNaGA9pYTykhfGgqoJJt5Epj8dUFT18+FRC/f8JduHNmxCFhSUuZ+rgoPtMay9vWHjUhMzc/B9vW1WlVquRmJjI6poSwXhIC+MhLYyHtDAe0sJ4SAvjQVUJk24jkrV3L1LGjtOZJ12UlvakfcliTeKtLihA4c2bOlesCxITocrIKPE9ZBYWsPD01L1q7eUFU6XScBtHRERERERUBTHpNhJCpULa7Dn6C5P91XZ7UiQebt6Mwhs3UZicDKjVJa7PzNX1qYT6/+dam7u58rFXREREREREZcSk20jk/XpK65ZyfUReHvJ+/kXzu4lCofeKtYWXF0wUCkMP+aViwmrrksJ4SAvjIS2Mh7QwHtLCeEgL40FVBauXl6PKrF6euWMnbk+Y8Mx+yt69oezeHRbe3jBzdnopipgRERERERFVFp4eMhJmTk5l6qcMCYF1yzdg7uLMhLuCCCGQk5MDnt+SBsZDWhgPaWE8pIXxkBbGQ1oYD6pKmHQbCUXzZjBzdQVKSqRlMpi5ukLRvFnFDoygVquRnJwMdSlz6KniMB7SwnhIC+MhLYyHtDAe0sJ4UFXCpNtIyExN4TI58q9f/pZ4//W7y+RIFkEjIiIiIiKqQEy6jYhd586osWQxzFxctNrNXFxQ46nHhREREREREVHFYPVyI2PXuTNsAwORe/Ik7vzxB9xeew3Wfn68wl2JZDIZLCwsOIdeIhgPaWE8pIXxkBbGQ1oYD2lhPKgqYfXyclSZ1cuJiIiIiIhIenh7uZESQiAjI4MVHSWAsZAWxkNaGA9pYTykhfGQFsZDWhgPqkqYdBsptVqN1NRUVnSUAMZCWhgPaWE8pIXxkBbGQ1oYD2lhPKgqYdJNREREREREZCBMuomIiIiIiIgMhEm3kZLJZLC2tmZFRwlgLKSF8ZAWxkNaGA9pYTykhfGQFsaDqhJWLy9HrF5ORERERERET+OVbiOlVquRnp7O4hISwFhIC+MhLYyHtDAe0sJ4SAvjIS2MB1UlTLqNlBAC6enpfIyCBDAW0sJ4SAvjIS2Mh7QwHtLCeEgL40FVCZNuIiIiIiIiIgNh0k1ERERERERkIEy6jZRMJoNSqWRFRwlgLKSF8ZAWxkNaGA9pYTykhfGQFsaDqhJWLy9HrF5ORERERERET+OVbiOlVqtx584dVnSUAMZCWhgPaWE8pIXxkBbGQ1oYD2lhPKgqYdJtpIQQyMzMZEVHCWAspIXxkBbGQ1oYD2lhPKSF8ZAWxoOqEibdRERERERERAZiVtkDMCbFZ9qysrIqeSSASqVCTk4OsrKyYGpqWtnDeakxFtLCeEgL4yEtjIe0MB7SwnhIixTjYWtry8JupBeT7nKUnZ0NAPDw8KjkkRARERERUUViMWUqCauXlyO1Wo3bt29L4ixXVlYWPDw8cOvWLR78lYyxkBbGQ1oYD2lhPKSF8ZAWxkNapBgPKeQAJE280l2OTExMULNmzcoehhY7OzvJfBC97BgLaWE8pIXxkBbGQ1oYD2lhPKSF8aCqgIXUiIiIiIiIiAyESTcRERERERGRgTDpNlKWlpaIioqCpaVlZQ/lpcdYSAvjIS2Mh7QwHtLCeEgL4yEtjAdVJSykRkRERERERGQgvNJNREREREREZCBMuomIiIiIiIgMhEk3ERERERERkYEw6TYiV65cQVhYGGrWrAmFQoEGDRogOjoaeXl5lT00o5eTk4OoqCgEBQXBwcEBMpkMa9eu1dtXrVZj2bJlaNq0KeRyORwdHdGhQwecPXu2YgdtpH7//Xf07dsXtWvXhkKhQPXq1dG2bVt8//33mj5qtRpr165FSEgIPDw8YG1tDR8fH8ycOROPHz+uxNEbr99++w0hISFwcHCAQqGAj48PPvvsM719MzIy4OzsDJlMhi1btlTwSI1HWT6XnvdYyMzMREREBOrVqwe5XA5PT0+8++67uHnzZgVtVdV08uRJjBkzBg0bNoS1tTVq1aqFfv364fLly1r9hgwZAplMpvPToEEDveu9du0aBgwYAGdnZ8jlctSrVw9TpkypiE2q0g4ePKh3P8tkMhw7dkzTb+/evXj33Xfh4+MDU1NTeHl56V3fpUuXEBERgaZNm8LW1hZubm4IDg7Gr7/+WkFbVLU8z99MFy9eRFBQEGxsbODg4IB33nkH9+7d0+rzT/Z/p06dIJPJMGbMmPLYNKISmVX2AKh83Lp1Cy1atIBSqcSYMWPg4OCAo0ePIioqCqdOncK2bdsqe4hGLT09HdHR0ahVqxaaNGmCgwcPlth32LBh2LBhAwYPHowxY8YgNzcXp0+fxt27dytuwEbsxo0byM7ORnh4ONzd3ZGXl4f4+HiEhIRg+fLl+Ne//oW8vDwMHToULVu2xPvvvw9nZ2fN8ZKQkIAff/wRMpmssjfFaOzduxfdu3eHr68vPv74Y9jY2ODatWtITk7W23/q1Kk8WVgOyvK59DzHglqtRqdOnfDHH39g1KhRqF+/Pq5evYqYmBjs2bMHFy9ehK2tbQVvZdUwb948HD58GH379kXjxo2RmpqKpUuX4vXXX8exY8fg4+Oj6WtpaYmVK1dqLa9UKnXWeebMGQQEBKBGjRoYP348HB0dcfPmTdy6dcvg22MsPvjgA/j5+Wm11a1bV/PvjRs3Ii4uDq+//jrc3d1LXM/KlSuxatUq9O7dG6NGjUJmZiaWL1+Oli1bYvfu3ejYsaPBtqEqKuvfTMnJyWjbti2USiVmz56NnJwcLFiwAOfPn8eJEydgYWEB4MX3/9atW3H06FFDbSaRNkFGYdasWQKAuHDhglb74MGDBQDx4MGDShrZy+Hx48fizp07QgghTp48KQCINWvW6PSLi4sTAMTWrVsreIQvt6KiItGkSRPxyiuvCCGEyM/PF4cPH9bpN336dAFA7Nu3r6KHaLQyMzOFi4uLCA0NFSqV6pn9z58/L8zMzER0dLQAIDZv3lwBozROZflcep5j4fDhwwKAWLp0qVbf1atX83PtGQ4fPizy8/O12i5fviwsLS3FwIEDNW3h4eHC2tr6metTqVTCx8dHvPHGGyIvL6/cx2vsDhw4UKbPl5SUFFFQUCCEECI4OFh4enrq7ffrr7+K7Oxsrbb09HTh5OQk2rRpUy5jNiZl/Ztp5MiRQi6Xixs3bmja9u3bJwCI5cuXa9peZP8/evRIeHl5ab5rRo8eXQ5bRlQy3l5uJLKysgAALi4uWu1ubm4wMTHRnA0kw7C0tISrq+sz+y1cuBAtWrRAaGgo1Go1cnNzK2B0ZGpqCg8PD2RkZAAALCws0Lp1a51+oaGhAJ7czkblY+PGjUhLS8OsWbNgYmKC3NxcqNXqEvuPHTsWoaGh8Pf3r8BRGqeyfC49z7FQ2vcMAMjl8n80XmPWunVrne/hevXqoWHDhno/b1QqlWZ/67N3715cuHABUVFRkMvlyMvLg0qlKvdxvwyys7NRVFSk9zV3d3eYm5s/cx3NmjWDjY2NVpujoyP8/f35faJHWf9mio+PR7du3VCrVi1NW8eOHVG/fn1s2rRJ0/Yi+3/+/PlQq9WYMGHCC24F0fNh0m0kAgICAADvvvsuzpw5g1u3biEuLg7Lli3DBx98AGtr68odICErKwsnTpyAn58fJk+eDKVSCRsbG9SuXVvry4PKR25uLtLT03Ht2jUsWrQIu3btQmBgYKnLpKamAgCqV69eEUN8Kezfvx92dnZISUnBK6+8AhsbG9jZ2WHkyJE6c4Y3b96MI0eOYP78+ZU0Wiqm71ho3rw5rK2t8fHHH+PHH39ESkoKDh06hIiICPj5+fEW2uckhEBaWprO501eXh7s7OygVCrh4OCA0aNHIycnR6vP/v37ATxJXorjolAoEBYWhgcPHlTYNlR1Q4cOhZ2dHaysrNC+fftyn4OdmprK75MXlJKSgrt376J58+Y6r7Vo0QKnT59+5jpK2v83b97E3LlzMW/ePJ4spArDpNtIBAUFYcaMGdi3bx98fX1Rq1YthIWF4d///jcWLVpU2cMjPCl4I4TA//73P6xevRrz58/Hhg0b4OTkhLCwMOzevbuyh2hUxo8fDycnJ9StWxcTJkxAaGgoli5dWuoy8+fPh52dHbp27VpBozR+V65cQVFREXr06IEuXbogPj4ew4YNw5dffomhQ4dq+j169AgTJkzAhx9+WGKxIqo4+o6F6tWrIy4uDpmZmQgMDETNmjUREBAAd3d3/PjjjzAzY5mY57FhwwakpKTg7bff1rS5ubkhIiICa9asQWxsLEJCQhATE4OgoCCtq7FXrlwBAPTr1w8NGjTAli1b8NFHHyE+Ph7du3eHEKLCt6cqsbCwQO/evbFkyRJs27YNM2fOxPnz5+Hv71+mZK4sfv75Zxw9elQrvlR2d+7cAfD/d9I8zc3NDQ8ePEB+fn6Jy5e2/8ePHw9fX1+EhYWV34CJnoHfkEbEy8sLbdu2Re/eveHo6IidO3di9uzZcHV1ZVVGCSi+UnH//n0cO3YMb7zxBgAgJCQE3t7emDlzJoKCgipziEZl3Lhx6NOnD27fvo1NmzZBpVKhoKCgxP6zZ8/G/v37ERMTA3t7+4obqJHLyclBXl4e3n//fU218l69eqGgoADLly9HdHQ06tWrh7lz56KwsBCTJ0+u5BFTaceCk5MTfH19NZW4z5w5g/nz52Po0KHYvHlz5Qy4Crp06RJGjx6NVq1aITw8XNM+Z84crX5hYWGoX78+pkyZgi1btmiShOLvEz8/P3zzzTcAgN69e0OhUCAyMhIJCQm886AUrVu31ppWERISgj59+qBx48aIjIz8xyfB7969iwEDBsDb2xsRERH/dLgvpUePHgF4cjfH31lZWWn66Hu9tP1/4MABxMfH4/jx4wYYNVEpKnlOOZWT2NhYIZfLxa1bt7TahwwZIhQKhUhPT6+kkb18SioKUtzu7e2ts8zQoUOFubm5KCwsrKBRvnw6deok/Pz8hFqt1nntf//7n5DJZOLdd9+thJEZt4YNGwoA4tChQ1rthw4dEgDE119/LRITE4VcLherV6/WvF7WQkdUNqUVK3paacfCtWvXhEKhEFu2bNFqX7t2rQAgfvjhh/IcstG6c+eOqF27tvDw8BApKSnP7J+XlydMTEy0YhIcHKw5fp5248YNAUBMnz693Mf9MggLCxMWFhaiqKhI57XSCqk9LScnR/j5+QmlUinOnz9vgFEal2f9zbRu3TqdZSZOnCgAiMePH+u8Vtr+LywsFD4+PmLw4MFa7WAhNaoAvL3cSMTExMDX1xc1a9bUag8JCUFeXl653S5FL674cSN/L0IEAM7OzigsLGRhNQPq06cPTp48qfNc3H379mHw4MEIDg7Gl19+WUmjM14l/b93dnYGADx8+BBTp05FjRo1EBAQgKSkJCQlJWnmFN+7dw9JSUmlFl+j8vGsY2Ht2rV4/PgxunXrptUeEhICADh8+HCFjLMqy8zMRNeuXZGRkYHdu3eX+hiqYnK5HI6OjlpztctyXNHz8/DwQEFBwQt/FxcUFKBXr144d+4ctm3bpvUoOHo+xbeVF99m/rQ7d+7AwcFB5yr3s/b/unXr8Oeff2LEiBGa75qkpCQATwrqJSUl8XGVZDBMuo1EWlqa3sqlhYWFAFBiZU6qOO7u7nB1dUVKSorOa7dv34aVlRWfcWtAxbeqZWZmatqOHz+O0NBQNG/eHJs2beKcVANo1qwZAOj8v799+zaAJ7cr37x5E1evXkXt2rXh7e0Nb29v9O/fHwAwatQoeHt7l1rJmf65shwLaWlpEELofNfwe6ZsHj9+jO7du+Py5cvYsWMHXnvttTItl52djfT0dDg5OWnaynJc0fO7fv06rKysdCphl4VarcbgwYORkJCAjRs3ol27dgYY4cujRo0acHJy0lvc7sSJE2jatKlWW1n2/82bN1FYWIg2bdpovmu8vb0BPEnIvb29sXfvXoNsDxGTbiNRv359nD59WucqXmxsLExMTNC4ceNKGhk97e2338atW7ewb98+TVt6ejq2bduGDh06wMSEh+Q/dffuXZ22wsJCrFu3DnK5XPOH7sWLFxEcHAwvLy/s2LGDFUwNpF+/fgCAVatWabWvXLkSZmZmCAgIwMyZM/Htt99q/cyYMQMAEBERgW+//ZZPYDCgsh4L9evXhxBC52kLsbGxAABfX1+Dj7WqUqlUePvtt3H06FFs3rwZrVq10unz+PFjZGdn67TPmDEDQgitmh89evSApaUl1qxZo3UXyMqVKwEAnTp1MsBWGI979+7ptJ09exbbt29H586dX+i7+N///jfi4uIQExODXr16lccwX3q9e/fGjh07cOvWLU1bQkICLl++jL59+2r1Lcv+DwsL0/mu+fbbbwEAb731Fr799ltNvR2i8sbLOkZi4sSJ2LVrF/z9/TFmzBg4Ojpix44d2LVrF4YPH16mW9jon1m6dCkyMjI0Vxq+//57JCcnA3jyZaBUKhEZGYlNmzahd+/e+M9//gOlUokvv/wShYWFmD17dmUO32iMGDECWVlZaNu2LWrUqIHU1FRs2LABly5dwqeffgobGxtkZ2ejS5cuePjwISZOnIidO3dqraNOnTp6/yim5+fr64thw4Zh9erVKCoqQrt27XDw4EFs3rwZkZGRcHd31/v5VFzAy8/PDz179qzYQRuRZ30umZiYlPlYGDJkCBYsWIARI0bg9OnTaNiwIX777TesXLkSDRs21Dzbm3SNHz8e27dvR/fu3fHgwQNN8bNigwYNQmpqKnx9fdG/f380aNAAALBnzx788MMPCAoKQo8ePTT9XV1dMWXKFEydOhVBQUHo2bMnzp49ixUrVqB///7w8/Or0O2rat5++23I5XK0bt0azs7O+OOPP/DVV19BoVBg7ty5mn7nzp3D9u3bAQBXr15FZmYmZs6cCQBo0qQJunfvDgBYvHgxYmJi0KpVKygUCp34hoaG8sTh35Tlb6bJkydj8+bNaN++PcaOHYucnBx88sknaNSokdbTL8q6/xs0aKA5tv7O29ub3zVkWJU8p5zK0fHjx0XXrl2Fq6urMDc3F/Xr1xezZs1ica4K4unpKQDo/UlMTNT0u3btmggNDRV2dnZCLpeLDh06iBMnTlTewI1MbGys6Nixo3BxcRFmZmaiWrVqomPHjmLbtm2aPomJiSXGCoAIDw+vvA0wQgUFBWLatGnC09NTmJubi7p164pFixaVugwLqZWPZ30uPe+xkJycLIYNGya8vb2FhYWFcHNzE++99564d+9e5WxgFdGuXbtS97MQQjx8+FAMGjRI1K1bVygUCmFpaSkaNmwoZs+eLQoKCnTWqVarxeeffy7q168vzM3NhYeHh/jvf/+rty9pW7JkiWjRooVwcHAQZmZmws3NTQwaNEhcuXJFq9+aNWvKdGyEh4eXGt+n/wagJ8r6N9OFCxdE586dhUKhEPb29mLgwIEiNTVVa13/dP+DhdSoAsiE4MMciYiIiIiIiAyBE0iJiIiIiIiIDIRJNxEREREREZGBMOkmIiIiIiIiMhAm3UREREREREQGwqSbiIiIiIiIyECYdBMREREREREZCJNuIiIiIiIiIgNh0k1ERERERERkIEy6iYiIiIiIiAyESTcRkZFISkqCTCbDkCFDKuX9hwwZAplMhqSkpDL1P3jwIGQyGaZNm6bV7uXlBS8vr3IfX2V43n1SlUk1buPGjUP16tWRnZ1dLuv773//C1tbW6SlpZXL+oiIyPgx6SYiKkfFiW9pP1JMTKhk06ZN04qfqakp7O3tUb9+ffTt2xdr1qxBbm5uZQ+T9Lhy5QpiYmIwYcIE2NraatrXrl2rFVMTExPY2dnB29sbPXr0wOeff44HDx7oXef48eNhYmKCqKioitoMIiKq4swqewBERMaoTp06GDRokN7X7O3tK3YwVUxCQkJlD0Gv3r17w8fHBwCQlZWFpKQkHDx4EFu2bMHUqVOxfv16BAQEaC0zZ84cTJo0CTVq1KiEEVcsKcZtxowZMDc3x+jRo/W+HhgYiDfffBMAkJOTg5SUFPz888/Yvn07oqKisHz5cvTt21drmWrVqmH48OFYsmQJIiMj4enpafDtICKiqo1JNxGRAdStW1fntmkqmzp16lT2EPTq06cPwsLCtNry8/OxePFiTJ48Gd26dcORI0fQuHFjzetubm5wc3Or6KFWCqnF7f79+9i0aRP69OmjdZX7aR07dsSkSZO02lQqFb7++muMGTMG/fv3h1KpROfOnbX6DBo0CAsXLsTKlSsxY8YMg20DEREZB95eTkRUyWQyGQICApCSkoIBAwagevXqsLW1RXBwMK5fvw4AuHjxInr27AkHBwfY2tqiT58+pc4p/f333xEcHAx7e3vY2Nigc+fOOHXqlN6+2dnZiIqKQsOGDSGXy2Fvb48uXbrgl19+KXHd3bp1g62tLZRKJd566y1cuHChxLE8evQIkyZNgoeHB6ysrODj44MVK1aU2F/f3ODiW7wPHjyIjRs3omnTppDL5XBzc8PYsWPx6NEjnfUUFRVhzpw5qFOnDqysrFC3bl3MmTMH169fL7e575aWlvjoo48wdepU5Obm6iRw+uZ0Pz2X/ciRI2jfvj1sbW3h5OSEUaNGabZl586daNWqFaytreHi4oKIiAgUFRXpHce2bdsQGBiIatWqafbxggULoFKptPoV31a9du1a7N27F61bt4ZCoYCjoyPCw8Nx//59nXUfOHAAXbt2hbu7OywtLeHi4gJ/f3989dVXWv1KmtOdm5uLqKgoNGjQAFZWVnBwcEBwcDAOHz6s0/dF4lyS2NhY5Ofn61ypfhZTU1MMGzYMy5Ytg0qlwn/+8x8IIbT6+Pr6om7duli7du1zrZuIiF5OTLqJiCTg4cOHePPNN5GYmIjw8HAEBATghx9+QKdOnXDhwgW0bt0aOTk5GDZsGJo3b474+Hj0799f77quX7+ONm3a4NGjRxg5ciRCQkJw4MABtG3bFsePH9fq++DBA7Rq1QrR0dGoVq0a3n//ffTu3RunTp1C+/bt8d1332n1Lx7Lrl27EBQUhNGjR6OgoABt2rTRnCB4mlqtRkhICObNm4dq1aph7NixaNmyJT788EN8+umnz72fli5din/9619o2LAhRo4ciWrVquGzzz7D8OHDdfoOGzYMkydPBgCMHj0aQUFBWLRoEcaNG/fc7/ss48ePh0KhwJ49e5CZmVmmZY4fP47AwEAolUqMGDECtWrVwrJly/Dee+8hLi4Offr0gaenJ0aMGAF7e3t88sknmD17ts56IiMj0bNnT/z555/o1asXRo0aBblcjokTJ+pcmS+2fft2dO/eHe7u7hg1ahTq1KmDdevWoUePHlr9du7cicDAQBw/fhxdunTB+PHjERISgvz8fKxfv/6Z2/j48WN06NAB0dHRsLa2xrhx49CjRw8cOHAA7dq1w+bNm/Uu9zxxLknx7e4tW7Ys8zJPe+edd+Dp6Ynff/9d70mlVq1aITk5GZcvX36h9RMR0UtEEBFRuUlMTBQARJ06dURUVJTen127dmktA0AAEB9++KFW+8iRIwUAYW9vLxYvXqxpV6vV4q233hIAxKlTp3TeG4CYNGmS1rp2794tAIhGjRpptQ8YMEAAECtWrNBqT0tLEx4eHsLJyUk8evRI096uXTsBQHzzzTda/SMjIzXvnZiYqGlfs2aNACCCgoJEUVGRpv3cuXPCwsJCABBRUVFa6/L09BSenp5abVFRUQKAUCqV4tKlS5r2vLw8Ub9+fWFiYiJSUlI07fv37xcARNOmTUVubq6m/fbt28LFxUUAEOHh4aIsit87Nja21H7+/v4CgEhISNC0hYeH6+yTAwcOaPbVd999p2kvKCgQjRs3FjKZTFSvXl2cOHFC81pWVpZwdnYWDg4OoqCgQNO+d+9eAUB06dJF5OTkaNrVarV4//33BQCxZcsWTXtxPMzMzMQvv/yiaS8qKhIBAQECgDh69KimvVevXgKAOHPmjM72pqena/2uL27Tp08XAMTAgQOFWq3WtP/222/CwsJC2Nvbi6ysLE3788a5NE5OTqJGjRp6XyveD3PmzCl1He+8844AIFatWqXz2pIlSwQAsXr16jKNh4iIXl680k1EZADXrl3D9OnT9f7s3r1bp7+NjQ1mzpyp1VZ8JdvR0REffPCBpl0mk2muYJ49e1ZnXfb29pgyZYpWW5cuXRAYGIjz589rbjNPT09HXFwcOnTooHMF0dnZGRMnTsS9e/ewf/9+AMDNmzdx6NAhNG7cGAMHDtTqP3nyZL0F4tatWwcAmDVrFkxNTTXtjRo1wjvvvKPT/1nGjh2LV155RfO7XC5H//79oVartW6f/+abbwAAU6dOhUKh0LQX36ZsCO7u7gCe7NeyaN++vdaVZXNzc/Tp0wdCCHTv3h1+fn6a12xtbdGtWzc8ePAAycnJmvalS5cCAL766itYW1tr2mUyGebOnQuZTIbY2Fid9x4wYADatGmj+d3U1BTh4eEAgJMnT+r0l8vlOm2Ojo7P3Mavv/4a5ubmmrEU8/X1RXh4ODIyMnTupgDKHueSFBQU4N69e3BxcXlm39KUFtPidT8dDyIiIn1YSI2IyAC6dOmiN7kuSb169bSSQwCaAlyNGzfWSliefu327ds66/L19YWNjY1Ou7+/PxISEnD69Gk0a9YMJ0+ehEqlQn5+vt6ib1euXAEAXLp0Cd26ddMk+MXVnp9mY2ODpk2b4uDBg1rtZ8+ehbW1NV5//XW941m1apVOe2maNWum01azZk0AQEZGhtb7ljTWp5PNytS0aVOdtuK4lvba7du34e3tDQA4duwYrK2tsXr1ar3vIZfLcenSJZ32su7HsLAwbN26FS1btsSAAQMQGBgIf39/VK9evdRtA55UeL9+/TpeffVVzbqf1r59e6xYsQJnzpzROQFT1vGVpHhuuiGfFODg4ACg7CdZiIjo5cWkm4hIAuzs7HTazMzMnvlaYWGhzmslXd0rbi+ec1z8HOLDhw/rLWpVrPgZ1MXLOTs7l7r+p2VmZsLDw6PM/Z+ltH3xdNGwrKwsmJiY6E0O/+nVz5IUnwBxcnIqU//yiPmDBw9QVFSE6dOnl/g++p4hXtb92LdvX3z33XdYuHAhvvzyS3zxxReQyWRo3749Pv30U70nB4plZWUBKHl/F59EKO73IuMrSfGV+cePHz+zb2lKi2lxUbe/nywjIiL6O95eTkRkZEqqal7crlQqAfx/YjN+/HgIIUr8iYqK0lru7t27ZX5fpVKJe/fuPdc4y4OdnR3UarXeq5CGeN+cnBycOnUKpqameq/qG4qdnR0cHR1LjV9iYuI/eo8ePXrg0KFDePjwIXbt2oXhw4fj4MGDCAoKKvWqc/H/r5L2d2pqqla/8mRvbw9zc3PNiaUXoVar8dNPPwGA1q3+xYrXXdaTLERE9PJi0k1EZGROnz6NnJwcnfaff/4ZwJPbz4EniYRMJsPRo0fLtN4mTZoAgN5HieXk5ODMmTN6l8nNzcVvv/1W4ngMoXis+q7gHzlypNzf79NPP0VeXh66du2qOTlREd544w3cv39fMxXAkGxtbREUFISvvvoKQ4YMQVpamk41/KfZ2dmhdu3auHr1KlJSUnReL56KUNrV8n/Cx8cHiYmJKCgoeKHl169fjxs3bqBRo0Zo2LChzut//vkngCf1CYiIiErDpJuIyMhkZGRg1qxZWm179uxBQkICfHx8NPNlXV1d0a9fPxw5cgSffPKJzrOIgSePtcrLywMA1KpVC23btsW5c+ewYcMGrX6zZ8/We9WzeK7ulClTtG4LPn/+fJkeOfWiigu9RUdHaz3bOTU1FUuWLCm398nPz8f8+fMRHR0NGxsbzJkzp9zWXRbFBfaGDRum9xnbqampuHjx4guv/6efftJ7O3fx3Q5WVlalLh8eHo7CwkJERkZq/f86d+4c1q5dC6VSiZ49e77w+ErTrl075Ofn6y02WBqVSoU1a9Zg5MiRMDU1xcKFC3VqKgBPjg0zMzO0bt26vIZMRERGinO6iYgM4OrVq3qLkxWbNGnSMxOWF+Xv749ly5bh+PHjaNmyJZKSkrB582bI5XKsXLlSq29MTAz+/PNPREREYP369WjVqhXs7e1x69Yt/Prrr7hy5Qru3Lmjmbf6xRdfoE2bNhg8eDC+++471KtXDydOnMDJkyfh7++vc/U6PDwcGzduxO7du+Hr64uuXbviwYMHiI2NRefOnbFjxw6D7IOOHTtiwIAB2LhxIxo1aoSePXsiPz8fmzZtwhtvvIHvv/8eJibPd955y5YtmqJkOTk5SExMxE8//YT09HR4eHjgm2++gY+PjyE2p0RBQUH4+OOPMWPGDNStWxdBQUHw9PTE/fv3cfXqVfz888+YOXMmXn311Rda/wcffIDbt2/jzTffhJeXF2QyGX755RecOHECLVu21Fuo7mkRERHYuXMn1q9fj4sXLyIwMBB3795FXFwcioqKsGLFCtja2r7Q2J4lNDQUixcvxr59+/TeHg4A+/fv18z7zsvLQ3JyMn766SekpKTAwcEB69evR8eOHXWWy8nJwbFjx9CpUyetqvFERET6MOkmIjKA4keGlWTcuHEGS7pr166NZcuWISIiAl988QVUKhUCAgIwd+5cnarQDg4OOHLkCJYuXYq4uDhs2LABarUarq6uaNKkCT7++GOtYmQ+Pj44fPgwPvroI+zevRt79uzBm2++icOHD2PBggU6SbeJiQm2bduG6dOnY8OGDViyZAnq1KmDRYsWoV69egZLuoEnj6t69dVXsXr1anz++eeoWbMmxo0bh8DAQHz//ffPPZc4Pj4e8fHxMDExgY2NDZydnREQEIDg4GD069ev0gpqRUdHo23btvjss8+QkJCAjIwMODo6wtvbG9OmTdN5vNvziIyMxNatW3Hq1Cns2bMH5ubm8PLywrx58zBq1Citx8DpY2VlhR9//BHz5s1DXFwcFi1aBIVCgXbt2mHy5MnPTNr/ibZt2+K1117Dhg0bMHnyZL19EhISkJCQAJlMBmtra1SvXh2vv/46Jk2ahIEDB6JatWp6l4uPj8ejR48wYsQIg42fiIiMh0zou5+QiIjISK1cuRLvvfceYmJiMHLkyMoeDhnQqlWrMHz4cPzyyy/l+qg4f39/pKWl4eLFi8888UBERMSkm4iIjFJqaipcXFy05uOmpKSgTZs2SE5ORmJiYomPMyPjoFKp0KRJE7i7u2Pv3r3lss6EhAR07NgRW7duRWhoaLmsk4iIjBtvLyciIqM0d+5c7Ny5E/7+/nB2dsbNmzexY8cOZGdnY9q0aUy4XwKmpqZYvXo1du3ahezs7HKZP56ZmYkFCxYw4SYiojLjlW4iIjJKu3fvxsKFC3H27Fk8fPgQVlZWaNy4MUaNGoUBAwZU9vCIiIjoJcGkm4iIiIiIiMhA+JxuIiIiIiIiIgNh0k1ERERERERkIEy6iYiIiIiIiAyESTcRERERERGRgTDpJiIiIiIiIjIQJt1EREREREREBsKkm4iIiIiIiMhAmHQTERERERERGQiTbiIiIiIiIiID+T/8Dljx81sGKwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 1000x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Land area of the world per Wolfram Alpha\n",
"land_area_sq_km = 1.489 * 10**8 # square kilometers\n",
"\n",
"# Assumptions\n",
"# We assume square pixels with side length in meters and coverage only over land area (not oceans)\n",
"# Each embedding cell stores D float32 values (4 bytes per value)\n",
"# Pixel sizes (meters)\n",
"pixel_sizes_m = np.array([1, 10, 30, 2560])\n",
"# Embedding dimensions\n",
"embedding_dims = np.array([8, 16, 32, 64, 128, 256, 512, 1024])\n",
"\n",
"# Convert land area to square meters\n",
"land_area_sq_m = land_area_sq_km * 1_000_000 # 1 sq km = 1e6 sq m\n",
"\n",
"# For each pixel size, compute number of pixels covering land area (approx)\n",
"# number_pixels = area / pixel_area, pixel_area = (pixel_size_m)^2\n",
"num_pixels = land_area_sq_m / (pixel_sizes_m[:, None] ** 2) # shape (pixel_sizes, 1)\n",
"\n",
"# Storage per pixel for each embedding dimension (bytes)\n",
"bytes_per_pixel = embedding_dims * 4 # float32\n",
"\n",
"# Total storage matrix: for each pixel size vs embedding dimension\n",
"# total_bytes[pixel_size_i, dim_j]\n",
"total_bytes = num_pixels * bytes_per_pixel[None, :]\n",
"\n",
"# Convert to terabytes (TB)\n",
"bytes_per_tb = 1_000_000_000_000 # 10^12 for decimal TB\n",
"total_tb = total_bytes / bytes_per_tb\n",
"\n",
"# Plot\n",
"plt.figure(figsize=(10, 6))\n",
"ax = plt.gca()\n",
"\n",
"for i, psize in enumerate(pixel_sizes_m):\n",
" plt.plot(embedding_dims, total_tb[i], marker='o', label=f'{psize} m pixels')\n",
"\n",
"plt.xscale('log', base=2)\n",
"plt.yscale('log')\n",
"plt.xlabel('Embedding Dimension (D)', fontsize=14)\n",
"plt.ylabel('Total Storage (TB)', fontsize=14)\n",
"plt.title('Storage Required for Land Surface Embeddings vs Pixel Size and Dimension', fontsize=14)\n",
"plt.grid(True, which='both', ls='--', alpha=0.5)\n",
"plt.legend(fontsize=12, loc='center', bbox_to_anchor=(1.05, 0.5))\n",
"\n",
"plt.xticks(embedding_dims, [str(d) for d in embedding_dims], fontsize=12)\n",
"plt.yticks(fontsize=12)\n",
"\n",
"# Horizontal lines for reference storage sizes\n",
"petabyte_tb = 1000.0\n",
"plt.axhline(petabyte_tb, color='red', linestyle='--', linewidth=1)\n",
"plt.text(embedding_dims[0], petabyte_tb * 1.1, '1 PB', color='red', fontsize=10)\n",
"\n",
"one_tb = 1.0\n",
"plt.axhline(one_tb, color='red', linestyle='--', linewidth=1)\n",
"plt.text(embedding_dims[0], one_tb * 1.1, '1 TB', color='red', fontsize=10)\n",
"\n",
"ten_gb_tb = 0.01\n",
"plt.axhline(ten_gb_tb, color='red', linestyle='--', linewidth=1)\n",
"plt.text(embedding_dims[0], ten_gb_tb * 1.1, '10 GB', color='red', fontsize=10)\n",
"\n",
"alpha_pixel_size = 10 # meters\n",
"alpha_dim = 64\n",
"alpha_ps_idx = np.where(pixel_sizes_m == alpha_pixel_size)[0]\n",
"alpha_dim_idx = np.where(embedding_dims == alpha_dim)[0]\n",
"if alpha_ps_idx.size and alpha_dim_idx.size:\n",
" alpha_tb_1 = total_tb[alpha_ps_idx[0], alpha_dim_idx[0]]\n",
" plt.scatter([alpha_dim], [alpha_tb_1], color='black', s=80, zorder=5)\n",
" plt.annotate(f'Alpha Earth 1 timestep\\n{alpha_tb_1:,.0f} TB',\n",
" xy=(alpha_dim, alpha_tb_1),\n",
" xytext=(alpha_dim*1.3, alpha_tb_1*5.5),\n",
" arrowprops=dict(arrowstyle='->', color='black'),\n",
" fontsize=10,\n",
" bbox=dict(boxstyle='round,pad=0.3', fc='white', alpha=0.7))\n",
"\n",
" alpha_tb_5 = alpha_tb_1 * 5\n",
" plt.scatter([alpha_dim], [alpha_tb_5], color='blue', marker='D', s=70, zorder=5)\n",
" plt.annotate(f'Alpha Earth 5 timesteps\\n{alpha_tb_5:,.0f} TB',\n",
" xy=(alpha_dim, alpha_tb_5),\n",
" xytext=(alpha_dim/3.5, alpha_tb_1*5.5),\n",
" arrowprops=dict(arrowstyle='->', color='blue'),\n",
" fontsize=10,\n",
" color='blue',\n",
" bbox=dict(boxstyle='round,pad=0.3', fc='aliceblue', alpha=0.8))\n",
"ax.spines['top'].set_visible(False)\n",
"ax.spines['right'].set_visible(False)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e97d1d9a",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "ftw",
"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": "3.12.11"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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