Skip to content

Instantly share code, notes, and snippets.

@hagino3000
Created April 16, 2015 05:53
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save hagino3000/ef25503360f3bd507504 to your computer and use it in GitHub Desktop.
Save hagino3000/ef25503360f3bd507504 to your computer and use it in GitHub Desktop.
Thompson Sampling
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Thompson Samplingの実験"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from __future__ import division\n",
"import scipy.stats\n",
"from collections import defaultdict"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAAzYAAAJsCAYAAAAvLTZkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3Xl8TFcbB/DfmeyJNSJiDZEIqhRt7TtdLbW/XQTlrWpR\n",
"vH1b1SXSvW9b1UVpaSVUVS2lRZUiilI7tYdEQmyxxJKILHPeP8bcziSzJbkzdyZ+388nH3dm7vLM\n",
"nZu4z5xzniOklBJEREREREQeTKd1AERERERERKXFxIaIiIiIiDweExsiIiIiIvJ4TGyIiIiIiMjj\n",
"MbEhIiIiIiKPx8SGiIiIiIg8HhMbIiIiIiLyeExsiIiIiIjI4zGxISIiIiIij8fEhoiIiIiIPB4T\n",
"GyIiIiIi8nhMbIiIiIiIyOMxsSEiIiIiIo/HxIaIVLVr1y58//33yM/P1zqUUsvIyNA6BCLVnD59\n",
"GidPnsTVq1e1DsVjSSnx1VdfYdu2bcjOztY6HCIqhIkNkQfr3LkzdDoddDod5s+fr3U4yM3NRUxM\n",
"DJ566inUqVMHW7du1TqkUunTpw+ioqLwzjvvID093ea68fHxymcRFxfnogjdi/H963Q6pKWlaR1O\n",
"qU2ZMkV5P8OHD9c6HIuMMToSX/v27REREYFp06a5IDL1Xbx40aH1CgoKnBbDqlWrMHr0aLRt2xZh\n",
"YWFMEoncDBMbIg8mhFD+NS6X1MmTJ81uTG39WLuJeuONN3D48GEAwPnz56HX60sVk5aOHz+Obdu2\n",
"4cSJE3j99dexYsUKh7ct7WdR2Jw5c9C0aVM8//zzmDFjBtavX48TJ04gKytL1eOEh4cX+zO3RO33\n",
"7w6svafExESHf2+MP5s3by7VPhISEmzGZ0yyu3TpUqz34s7WrFmD6tWrY9CgQfjjjz+KvJ6Xl4fv\n",
"vvsOrVq1woQJE5wWx5dffqksjxw5EhUrVnTasYio+Ly1DoCISk5KqfxrXHYFSzdGiYmJ+PDDD81i\n",
"6927N37//Xc0b9682Md4/PHHkZ2djR49eqBnz56oW7duaUIutnnz5inL/v7+ePzxx116fFPLli3D\n",
"gQMHcODAgSKvBQUFoXLlyqhQoQKqVq2KDRs2lPg4tr7pLu7NsCuvR08ihICPj0+ptnf0s/DEBMYS\n",
"KSVefvllFBQUYPHixahXrx46duxotk5aWhqefvpp5OfnY+/evRg/fjwiIiJUjWP//v349ddfAQAB\n",
"AQF4+eWXVd0/EZUeExsiN/Piiy863OXi6NGjyvLXX3+NtWvXOrRd586dMWzYMKuvDxs2DHXr1sWe\n",
"PXuwfPlyAIYuL0b33HOP2frnz5/HE088odzMNm/eHHv27MGVK1fQvXt3rFy5Eq1bt3YoNqOtW7ci\n",
"LS0Nv/zyCzIyMlzavUtKiblz5yqP+/fvjwoVKhRre7Xk5eVh48aNEEJY3G9WVpbSclOrVq1SHcvY\n",
"wlatWjU8/PDDkFIqrQNSSkyZMgVvvvmm3f1IKVGvXj2rr8+ZMwdDhw4tcYz79+9HSkoKLl68iEuX\n",
"LkGn0yEkJASNGjVC8+bN4e/vX+z9JiYmIjExschzRnv27EFcXJzyGQgh8Nhjj5mt3759e0RGRhbZ\n",
"t5QSv/32G86dOwcpJby9zf/rrVevHmJjY5VEJCUlBQkJCRg2bBg2bNiAzMxMs1aIwr9/ruSs82/L\n",
"999/j3379gEAKlWqhFdeeaXIOvXr18fIkSMxc+ZM5OXlYdKkSfjxxx9VjSM2NlZZHjVqFKpVq6bq\n",
"/omo9JjYELmZxYsXl2h8wqZNm7Bp0yaH1vX19bWa2AghMGzYMHTs2BEJCQlYvnw5hBB44403LK5/\n",
"69Yt9O/fH+fOnQMAtG7dGps2bcLgwYOxdOlSXLlyBV27dsX8+fPRt29fh+LLysoyOweuvpHbsGED\n",
"UlNTARjOxzPPPIO6des6/LnExcXZTcROnz6NGjVq2N2Xj48PTp06hZ07d+LgwYNITk5GWloazp49\n",
"iwsXLuDSpUu4du0apJSlvtEyJjaNGjXCt99+CwBm3Z7UagEo7n70ej2WLl2KefPm4Y8//rA5rsHP\n",
"zw89evTAyJEj0bNnT+h0jvW4TkxMtJm07du3T7m5Nqpbt65ZS+LIkSMRExNjcfuHH34Y586dgxCi\n",
"SGITHh5udtOcmJiIhIQEDB06FMnJyTZ//1zBFeffmmvXrmHy5MnK40mTJqFSpUoW150yZQq+//57\n",
"XLt2DYsXL8amTZvQoUMHh45j64seAMjPz1e+5AGAY8eO2d3GmrCwMLz//vsl2paIbGNiQ+TG1OxK\n",
"UpxWBNMubrbo9XrExMTgzz//BABUrlwZ8+fPh5eXF+bOnYsTJ05g3759yMnJwcCBA/Hxxx/jhRde\n",
"sHt84zgdwHAOmjVrZvb6tWvXcOzYMRw9ehRHjx7FsWPHcPr0aVy/fl35uXbtGvLy8uDt7Q1vb2+U\n",
"K1cOzzzzDN5++227x//mm2+U5SZNmqBDhw6qfhbF3Vf58uXRpUsXq2MmAOD69evIzc0tVVzFGRM1\n",
"bNgwhIeHA7D/fqSUiI+PV5LF4li4cCFiY2Nx7Ngxq+tUrlwZV69ehZQSt27dwooVK7BixQpERUUh\n",
"Li4OgwcPthuj6Xg107gtrWPtsS2m3c8KJzbuzFXn35rRo0fj1KlTAIC7774bEydOtLpuaGgo4uLi\n",
"lNat5557Drt373ao659pC60jVq1aVaz1TdWvX5+JDZGTeM5fV6I7jBACKSkpqFOnjtV1Dhw4oHx7\n",
"2qpVK5s3TEOGDHGocpqUEuPHj0fFihWVVhgpJTp37gwAqF69OhYsWAApJUaOHIlFixYBALy8vDB/\n",
"/nylC1JgYCB+/vlndOvWDcePH4der8eECROwc+dOfP311wgICLAag2kXu3LlyhXpK9+mTRuz5MeW\n",
"/Px85OfnIycnx6Eb/4sXL2LJkiXK47FjxwIABgwYgEuXLlndLikpCVu2bAFgaGGy18oUGBjoSPgO\n",
"K1++fKn3UZxqUoMGDcK4cePw4IMPok+fPujevbvN9U1bwRxx8+ZNPP/884iPj1eeq1ixInr37o1H\n",
"HnkEkydPRkpKCoQQ2LNnD2rUqIGDBw9i5cqVmDlzJk6fPo2kpCQ88cQTmD9/PhYsWIBy5cpZPV5s\n",
"bKxZqwlg3vI2bNgwpRXLVOHua9bcunVLWfaExMbV59+SefPmYcGCBQAMiWFCQoLdczd27FgsWLAA\n",
"27dvx8GDBzFx4kR8/vnnDh3PWvJlL8EtrrIy9onIHbn/X1cismrMmDFKhSB7XZuK02JTuMsNAOU4\n",
"xq43Y8eONbvpGTp0KOrVq4cjR46YbTdr1iyzpGD+/PnYu3cvFi9ejOjoaIvHP3nypLLcpEmTIq9X\n",
"q1atSGJjvFnw8/NDUFAQ/P39odPpcOvWLeTk5ODWrVsO3VhNnz5dSYBCQ0OVrkWmhREsSUhIUBKb\n",
"xx57TNOuQyXlaIuNEAKbN2/G8ePHcfz4cezevdtuYmOpRcSa69evo2vXrti1axcAICQkBK+99hpG\n",
"jBiBoKAgZGVl4cknnwQABAcHK8l/s2bN0KxZM7z44ov44IMPEBcXB71ej5UrV6JHjx74448/ijVw\n",
"3/R3prTjpkznPCluYuPqQgzucP4PHz6M559/Xnk8efJkh7qkGqvGtWzZEtnZ2Zg+fTqioqIwbtw4\n",
"m9tZu/Zv3LiBRo0aKeXe//e//+HFF1906D0QkesxsSFyM7a6wtjapjjr2jNgwADUqlULBw8eVAoS\n",
"jB8/HoChZSAmJgbfffed2TbffvutxW+0jerXr48TJ04AAA4dOoTt27dbTWxMv9lv2rRpkdebNm2K\n",
"gIAANGnSBNHR0ahXrx7q1q2L0NBQBAUF2X1/1ly5cgWffPKJ8rhx48bw9fV1aFs1b4LtHefYsWPY\n",
"sWMHdu7ciR07duDo0aO4evUqvL29ER4ejp49e+Kll15CaGhosfZtvLlLT0/HV199ZfY+hBCYMGEC\n",
"hg8fDimlWaI3ZMgQu/teuHAhcnJyAABVqlSxul5eXh769++v3FQ/+uijmDNnDkJCQpR1du/ercR6\n",
"7733FtmHr68vXn/9ddxzzz3o168fCgoK8Ndff2Hy5MkWE9S5c+da7IqUkpKiLK9Zs6ZI8iaEwGuv\n",
"vWb1vWzduhVDhgxBQUGB2fgsPz+/IusOGzasSAymXQ9Nx6rMmTMHBw8eRKVKlZTf5xUrVqBmzZpm\n",
"XywcOnQI7dq1w4IFC2y2/JrS4vwXdvLkSfTo0QM3btwAYCh28vrrrzsUPwBER0djxowZSoGKiRMn\n",
"onLlyg5dp4W9+uqrSlITFRWl/B0EgP/85z/Yt28fhBD44YcfbF7XROQikojcyuLFi2V8fLx87LHH\n",
"pBBC1Z/XXntNbty4UR49erTIcVNSUqQQQup0Orlx40YppZTx8fHKc0Y//fST1Ol0UgghfX195cSJ\n",
"E5V1jM8bf4zP6XQ6mZiYKGfMmCGDgoLk2LFjbZ6DHj16KPv48ssv1T3BNrz66qtm8Xfp0sXsdTU+\n",
"A29vb4fj0ev18sSJE3Lp0qVy0qRJskuXLrJChQoOHadatWpy//79xXr/5cqVs7q/4cOHm63boEED\n",
"KYSQfn5+8tKlS8U6ji0vvfSScsw+ffrI/Pz8IutMnTpVWSc2Ntbm/t59911lXR8fH5mamlpkndjY\n",
"2BJ9lsbr2vg4ISGhyL7vu+8+s21atmxpMc6hQ4c6fMz4+HgZHR0tO3bsKKdMmSKFENLLy0sKIeSy\n",
"ZcvknDlzpBBCuVamT58upZQyPDxcCiFkXFycW51/U2fOnJH169dXtomOji7x9fXKK68o+/Hy8pKz\n",
"Zs0q1vbbt283+5v2yy+/mL3eqVMn5TNJT08vUYxEpC5O0EnkZvr374+hQ4eqXglMCIFGjRqhY8eO\n",
"aNCggdX1pJQ4ePAgtm3bhuPHjyvP//XXX9i2bRuqV6+OpUuXIiIiAuvWrcPHH38MvV6PgoICFBQU\n",
"KN+SittjhIzPd+rUCc8++yz27dtndwC/cbAwYBgw7AoXL17EZ5995vD64vZ8IsYfR1+3tG5hp0+f\n",
"Rrt27VChQgVERkaif//++OCDD5CYmIjr168r63l5eaFBgwbo1q0bnnzySfTv318p+XzhwgX06dOn\n",
"WDOjG8fY+Pn5Fan4ZWrXrl1ISkoCAOTm5iIkJESZPHLHjh3o3LmzzQkmrTl+/DimTZsGAKhRowbm\n",
"zZsHLy+vIuvt3LlTWW7Tpo3N9/Tiiy+iZs2aAAzjrUxb5Izq1auHTp06oXPnzmjVqhWEELj33nvR\n",
"uXNns5+qVasq27Rs2RKdOnWyeWwAiIiIQPXq1dGxY0fExsZi9erVNtdv0aKF8js0atQo1K1bF5Uq\n",
"VSryO5ORkWHWCtO2bVsAhrFMxmusWbNmqFixItatW2c3TkC782+UkpKCbt26ITk5GYBhPN/q1asR\n",
"HBzsUPyFvfvuu8oYOb1ej2eeeQZPPfWU2e+QNTdu3MDQoUOVVsuBAweiZ8+eJYqDiFyHXdGI3FTX\n",
"rl1t9keXUmL27NlKt62XXnrJ7lwrjiZLpn3bjccyvYHR6/Xo1auXxZtUaadLVv369e0ePyMjA4Ah\n",
"CYiKinIo5tJ66aWXlK4v9tx///1m3YaklPjiiy8wffp0AIaxT2PGjFFez8/PtzhWyJqqVatix44d\n",
"yM/PN3tep9OhadOm6N69O7p27Yr27dsXGTeUk5ODoUOHYtGiRTh58iQ+/PBDhyrBAf90RWvTpg3W\n",
"r1+vHLOwmTNnWtxeCGHWZcnaOtbExcUhLy8PgOGm1FJBBCmlMmDf29tbuaG3xsfHByNGjFBKOVu6\n",
"yR86dCiGDh2Kw4cP48EHH4SUEo888ojZ3E2AIcnOyMhAuXLlsGnTJvj7+5sVD7B0vf/www824yus\n",
"adOmeOihh5CQkIDx48crY8kmT56sdHvLysrClStXzOYtatasGY4fP44///xTmRDXy8sLbdu2dbgM\n",
"vFbn3/j8oEGDcOXKFQCG7opr1qwp9cS8n376KW7evInZs2cDMMyJs3XrVixYsAD333+/1e1Gjhyp\n",
"dOurVasWvvrqq1LFQUSuwcSGyE116NDB7hwMS5YsQWpqKoQQGDdunEPzojjinnvuQaVKlXD27Fml\n",
"QpmxKpqRTqdD586dlaIChUkrkzR26tQJGzZssHpsvV6v3NwIIcy+JXeWzZs3mxVCsCcwMLBIq5dp\n",
"//qQkBCz1wsnKPb4+fnh7rvvxt69e1G9enU88MADeOCBB9C9e3e7iYO/vz9mzZqFVatWISsrC7Nm\n",
"zSp2YmPL8ePHlbltwsPDMXz4cOzcuRMrVqwAYH4egoKCMHDgQEgpsXjxYmUiUUtyc3OVeUJCQ0Px\n",
"+OOPW1xv+/btOHv2LADDdepINbiuXbsqN9aHDx9Gdna2xap04eHhSnL7xRdfYNKkScpkk+fPn8fB\n",
"gwcBAL1797Y4CaW9SXKllOjSpQtGjhxpcx1jNUJLn7W8PcYKAGrXrq2s6+vri/vuuw9r165VWt6E\n",
"EGjbti1+/fVXm+WaAW3Pf0JCAkaMGKFcfxUqVED16tVVaa01VrOrWbMm3nzzTUgpkZKSgpdffhnr\n",
"1q2zmLh/9tlnZpN7xsbGIjMzE5mZmWbrGceMAYZWZntVF4ODg4s10S8RFR8TGyI3lpWVpbReWGJM\n",
"AAD7/7HWqFHDoYHwQghMmzZNmaBz+PDhEEIo3+Db2g5AkQHnRsbn7XXFunz5srJuxYoVSz3BnyNM\n",
"KyY99NBDdrsL2WPpm/vi+t///oewsDDcddddxd62QoUK6Nq1K3755RdcvHgRhw8fRqNGjexu50hi\n",
"85///EdJ1F555RU888wzeP/997FixQr4+vqa3bhVrVpVKSixYcMGm4nNhg0blKTi4Ycfttpa+dNP\n",
"PynLPXr0sBsvALNWP71ej/T0dIstgYGBgRgyZAg+//xzXL58GT/88IMyCaPp9f+vf/3L4nG2bt2K\n",
"rVu32ozlhx9+gJeXF4YPH251nUOHDsHb29tqFyxj1cKIiAhlYLuvry/uuusu/PLLL0pXLsDQZQ4A\n",
"tm3bZjMuLc9/+/btERISggsXLiAqKgrLly/HBx98gAMHDji0f1uMfz9iY2PRokULDBkyBM2bN8fq\n",
"1ast/m1ZsGCBMg+O0b///W+bxyjcom3NW2+9hVdffbUY0RNRcTGxIXJjixYtwtNPP213PUf+Y920\n",
"aRPatWtXrOM7eoPeunVr/PDDD5BSYsKECVi2bBmEENi1axeCg4MhpUT79u2VmzBbTJO1ypUrFyve\n",
"kurevTv27t2L0NBQvP3223YTm5SUFMTFxZmdH9MuScZl4+vFmfjSqFu3bsXexlRkZKQSw8mTJ1VJ\n",
"bJYvX45ffvkFgKHktvGm//z58wBgsYXOUYcOHVKWbV3Ly5YtU5YfffRRh/Zt2ookpcSlS5esdnGM\n",
"iYnB559/Dn9/f7MSzb///jsAoFKlSnjwwQctblu7dm1kZWXh8uXLAMyr6l26dAmnTp2ClBK7du2y\n",
"mdisXbsWVatWVcZnFf5c/vrrL3h5eaFNmzZKXP7+/krXNNPExtj99K+//rL5pYKW579+/fr4/vvv\n",
"MW3aNMybNw8VK1ZE+/bti8R75swZrFmzBoBhLJKliokAcPbsWfz2228AzL9I6dWrF7Zv345KlSpZ\n",
"rEz3008/ISYmxuLfPUvnrvB69tZxZHwdEZUOExsiN2b8j9Daf4iO/KcppbQ6wN2a4rY4+Pv7KwOZ\n",
"Tb8FNb2xszQI2RLT7h1qTDrpiDfeeAPfffcdZs6c6dBA5dTUVGXiRks2btyIjRs3WnxNjdYcR5h2\n",
"lXKkgIC9sVHnzp3DqFGjlMdRUVG4ceMGgoODle6KjoyfssbYvQkwDBq35MiRI0qXqrCwMLvjO4wK\n",
"dwUsfFObmJiIxMREpWx6YGAgBg8ejIyMDGWcjXGm+apVq+Ldd99Vfq9Mu2i+9dZbOHHiBN566y0I\n",
"ITB37ly0aNECgKHF4K233gJQtFunqQMHDiAlJQV9+vQBYOget3HjRrNCAb1790adOnVQsWJF3Lx5\n",
"E4Dhd6VVq1Z47bXXzD6/sLAwPPvss+jXrx9Wrlxp9bhann/A0F2ta9euyuMRI0ZgxIgRZussX75c\n",
"SWxiYmKszk2TmJhoMbEBYLVwysyZMzFu3DilG194eLgyfnHYsGFKEm8kb09kbGw9W7RokcVusytW\n",
"rMBHH31k8ZhEpD4mNkRu7KGHHrI6s/nVq1eVm5/IyEhlcKw1jg5eN44DKPxc4W4b1rq2mCYmjs4B\n",
"Y8p0hnZL4yCcoVy5ckhMTESDBg3MJge1xJEk09p6xpthVzBOiArAoWTNeEMHGBKzwp/3b7/9ZvYe\n",
"N2/ejOjoaHz66afYs2cPAOs3jY4wbamzNpHqrFmzlGVr3cEsMbYoAZYLHCQmJipjQIzmzJljcV9J\n",
"SUlmSa1pkiKlVH7PjGM5jInN7t27ARgS/8K/X6aM88c88sgjAAzd/fbt22c2Ie0jjzyiTBx77do1\n",
"AIbPuEmTJmjSpEmR8WJffvml1eMZaXn+HXXx4kVl2VZrrmkLl72urHq9HqNHjzZ7b8OGDUOHDh2U\n",
"xKpu3bro2LFjkW0rVqwIwPCe2rRpY3GMo72xTUSkLiY2RG6sWrVqqFatmsXXTFsEIiMjLf7HWxL2\n",
"bryNN+eVKlWy+LppYlMSpolNcWaJLy1HbsqNN0zXrl0rMgh44sSJSqncn3/+WfPSsDt27ABg+Dxr\n",
"165td31jNSxrBg0ahIyMDKxfvx5du3bF+vXrcenSJTz11FPKOraqTNljejNtvFk3lZWVpYzX0el0\n",
"ePbZZx3etzHxAgzjjwqfD2sto44kq4VfN+3uuXPnTvTv3x8FBQVKZbKmTZvanMixQoUKKCgowODB\n",
"gwEYJps0xm/pJt04Bq+03Ta1PP+OMu3KamvyWdMk3V5io9PplG6bADB8+HB88803xSomQkTug4kN\n",
"kRvZu3evWR92W7Zv364snzlzpsiYD1uEEHj66afNbjBq1KiBzZs3AzCUtTXtBma8kZ8xY4ZSCto0\n",
"sUlMTCxyA2GplccRpt1WLL2fl156Cf7+/ggLC8Nzzz1X7P2XxpEjRzBhwgQkJydj165dZjeDxjEK\n",
"QohStVyo4dChQ8rNZM2aNR0aX2M6sD8qKgrt2rWDlFKpgBYQEICFCxdi9uzZePnllzF37lyMGzdO\n",
"uQk2fmttSUFBgd2KUabdn4xd20x99dVXSpe6nj17FuscG6t9AYaB6oXFxsYiNja2yPNxcXFK68yU\n",
"KVPwxhtvFFmncItqjRo10KhRIxw+fBhr167Fe++9h02bNinn6aGHHrIZa79+/TB+/HiHq2cZ53wq\n",
"aSuIkZbn31EpKSkA7CfrpomNt7f925z//ve/2LVrFypXrowZM2aUOD4i0h4TGyI3snfv3iJdYhyx\n",
"f/9+7N+/v1jb9OjRw+zmwNfX16zP/NWrV7Fz505kZ2fj3//+N1JTU3HhwgXl9eDg4CITT9oadOto\n",
"0mWaDFmaVyYhIQEZGRmoWLGiSxOb/Px8PProo8rN1ZAhQ7B06VIIIXD16lWl7HVwcLDmic1///tf\n",
"ZXnAgAEObWNayrZXr17KuABjYgMYBoG//PLLAAxjHNq3b4+GDRsiPz8f9evXNxsHYpSYmIhu3bop\n",
"n7+l8RUAlC5bALBmzRq89NJLyuPs7GwlHiEEJk2a5NB7AoC0tDQsXLhQeVycLlQlHQ/Vv39/vP32\n",
"29izZw+OHDmifPsvhEDv3r3tHtPaoPjC8vLykJSUBCFEiarnmXLH81+YcTyLl5eXzfFcpkm0I4kN\n",
"AMydO7dEXWeJyL0wsSFyI/aKBRjZu+EqyTiO7t27o1mzZqhVqxa8vb3RrFkzPPnkkzh69Ciys7Px\n",
"448/KuM2ypcvD29vb0ybNs1sYPqiRYuUSSoBww3IggULzLqNWOvCZmR6I2KpPHBkZCQyMjJw7do1\n",
"pKenK7OaO5u3tzfmzJmD7t27Iz8/H8uXL8fo0aMxc+ZMTJ06VemCp3UXtA8//BC//vorAMM8MqY3\n",
"qLaYjoNwdO6gP/74Q2lhs3bD2rlzZzzxxBOYP38+hBBW53Bp06YNgoKCkJWVhQ0bNmD//v3KDf57\n",
"772nzNfSp08ftG7d2qH4cnNzERMTo9zo1q1bV+niVVzFSXKGDBmCt99+G1JKjB07Vuk22rhxY7ux\n",
"JyQkmCWTtuzfvx/5+fmoU6eO3d8re9z9/J85c0ZJbKKjo60myEDJurMyqSEqG5w/QQQROWzo0KHQ\n",
"6/UoKCiw+WM6luGjjz4y6z7RrVs3XL161e4+TFtn8vPzsWXLFgCGQec//fQTWrRogYyMDBw5cgRP\n",
"PvkkZs2apQzeNd74NmvWDB07dkTHjh2ViQBNFRQU4Ndff1XW6dixo91vo4OCgpRlS4nNww8/DMBw\n",
"o/nNN984dF7V0rFjR8yePVtJHL/++ms89NBDeO+99wAYkh9HEwln+Oqrr5QWFQB49dVXERYW5tC2\n",
"xpYoAA5tc+vWLWXiTy8vLwwdOtTqunfffTfuvvtufPnll/jss88srhMUFKTc9Eop8fTTT+Ps2bP4\n",
"6aeflPMbEBCA//3vfw69Hykl/v3vf5tNIPvBBx9Y/Qa/c+fO0Ol0Zj+mradxcXFFXk9ISLD4JUJU\n",
"VBQ6deoEAFi3bp2S/E2ePNmh2I1VDAv/FGacM6dZs2YO7dcWrc+/PcbJNYF/CitYY1qm21YCRERl\n",
"DxMbIg+i1+sxbtw4ZXxNREQExo4di1GjRildjtatW4c2bdoUq2va0aNHcevWLURHR6Nq1ao4duwY\n",
"ypUrhwYNGmDlypXo378/Nm/ejL/++guA5W/0p0+frsyf0aFDB6VCUHx8vM0ys4WZFkuwlNiMHj1a\n",
"GSj99ttv47PPPrM78F1NMTExmD17tlK+es2aNcqN69ixYx0az6K269evY/To0Rg9erTyXK9evYrV\n",
"Zch0MkRHBne/9dZbyuc9aNAgm12DJkyYgH379pmVi7bk9ddfR0BAAABDFbGaNWuif//+StGGt956\n",
"y2ygtzWpqano3r075s2bpzwXExODgQMHWt2muK2c9kqomyaYgCG5e/zxx+3ud8CAAUhJSSnyYzo3\n",
"jdG6desT0bopAAAgAElEQVQAmHcjKw0tz78tO3bsUKo++vj4KOP8rLl+/bqybFr2nIjKPnZFI/IQ\n",
"ycnJiImJwZ9//gnAUAp54cKFSleLhIQEnDx5Ejt37sTBgwdx33334YUXXsCkSZPslvs1lqJt1KgR\n",
"UlNTcfbsWeTn56NFixbYtGkT3njjDfz222+YOHEigKLzXBw9ehSvvPIKAMO3959++inS09PRq1cv\n",
"SCkxePBgrF+/3qGqWaGhofDz88OtW7dw7do15ObmmnUTqVKlCubOnYsBAwbg1q1bGD9+PN555x30\n",
"6NEDrVq1Qr169RAWFobAwEBlksXMzEycP38eBw8exN9//43PP//c4ZYMS4YPH47du3ebdbsDDIOk\n",
"o6KiMHz4cJd8U3z16lV88803+PDDD826krVv3x7z588v1r6MhSOEEIiOjra7rvGbez8/P2WuF2uM\n",
"1+iRI0ewbt06qzem4eHhmDp1qlmCZjR48GDl+rMmLS0N3377LaZOnWo2PqtPnz52W/cmTZpkNmmm\n",
"lBLLli1TBr4/9thjeOyxx8y2adeunTJ4v7CGDRvCx8dHSbqllMjIyLDbza9cuXIWxyoVdvHiRaxc\n",
"uRJCiCJxlZSW59+apKQk9OzZU0munnzySbvnx7TUuWkLsBZMK8xxgk4iF5BE5NaSkpLks88+K/39\n",
"/aUQQgohpK+vr1y8eHGRda9fvy579eqlrCeEkBUqVJCTJ0+W6enpVo8xduxYqdPpZEZGhly1apXU\n",
"6XTy/Pnz8ty5czIvL09ZLzg4WAoh5Lhx45Tnbty4IZs3b64cb8yYMcpro0ePVp6vWLGiXLp0qUPv\n",
"OTo6WgohpE6nk4cOHbK4zpYtW2SjRo3M3qujP9b2KaWUKSkpynpdunQp8npycrIcOHCgzf0HBwfL\n",
"J554Qs6fP19euHDBoffsqPT0dDl37lw5YMAAGRAQYHZcLy8vOWbMGHnr1q1i7TMzM1N6e3tLIYSs\n",
"UaOG2WvGfQ8fPlxKaXj/VatWVZ5/8803i+yvU6dOUggh69WrZ/b8woULpRBCNmjQQH7xxRdW45k1\n",
"a5asVKmScg3069dP5ubmFlkvKytLrlmzRk6ePFm2bNmyyOfg4+MjX3vttWKdC1OxsbHKvuLi4iyu\n",
"s2HDBmWdhIQEKaXhGgoPDy8ST2RkpDx27JjF/QwdOlQKIWT79u1lfHy8nDNnTpEf437i4+Pl1KlT\n",
"pRBCNmzYsMi+jOsWvn6NMVl7L0bucv4XLFggq1Spouyvdu3aDv0+Pf3008o233zzTYmObXq+rZ0v\n",
"43Wu0+nM/r7m5eXJhg0bFjkf06dPL1EsROQ4pyU26enpcu3atXLJkiXy999/l+fPn3fWoYjKFL1e\n",
"Lw8fPiw/+ugjef/99xf5z7F8+fJy9erVNvfx4YcfmiVCxmSoa9eu8pVXXpELFy6UBw4cUJKWRYsW\n",
"yZEjR9rcZ1JSkrKvTz75REop5ZkzZ2SrVq2U5xs1aiSzsrKUbW7duiXbtm1rFscLL7wgMzMzbR6r\n",
"W7duyvo///yzzXO1atUqOWLECFm/fn2p0+mkTqcrcs6Mz+t0Olm+fHm5b98+q/u0ltj8/fffcsSI\n",
"EdLX19ds3zVq1JDvvPOObNCggdVEJyIiQvbt21e++uqr8ttvv5Xr1q2Tp06dsnkOjK5fvy6/+OIL\n",
"GRMTI6Oioqweo127dnLr1q0O7bOwBQsWKPsZMmSIvHz5spwzZ46cNm2aWWJT+Ia9devWZomvkfGG\n",
"r3LlyvLGjRtSSkMC3K9fP2Vbeze82dnZcufOnfLEiRMOxV34p23btnLv3r0lOh9GxU1s4uPj5cKF\n",
"C2VISIjyXMuWLaWfn5/yODAwUL7++utFfgeMiY0jP7NmzVI+B0uJ5dy5c6W3t7fs3r272fOOJjZS\n",
"anv+d+3aJfv06WO2Pz8/P7lt2za72+bn58v69esr2y1fvrxEMZQmsZFSyu+++67I36CS/n4SkeNU\n",
"T2yuX78uP/74Yzlo0KAiP/Hx8WofjqhMefXVV5VWEUs357169ZJHjx51aF/Jycny6aefNrupMv0J\n",
"CAiw2XIhpSHhiY2NlbGxsbJ79+7KtqtXr5bx8fFm36bWrFlTJicnF9nHlStXZLt27cyOXaVKFfnt\n",
"t99aPe5TTz2lrDt16lSH3q+UUl69elVu375dLlmyRH755Zfyvffek7Nnz5arV6+WBw8elFevXrW7\n",
"j8KJTVJSksVvo4UQslevXso3yHq9Xi5dulR26NDBoZvTuXPnOvSeCgoKZGRkpMV9+Pj4yL59+8oN\n",
"GzY4fI4sMf2Ge8GCBTI3N1dWrFjR7Fhjx46VQ4YMMUvozpw5Y3F/PXr0sPnedTqdQzepjmjWrJnZ\n",
"ftu3by8XLVqkyr6Lm9iMHz/e7H22b99eZmdny99//11WrlzZ7LUnnnjCbD+miY1pIm76Y3y9Y8eO\n",
"Uggh/f39i/WlYXESG0epef4LCgpk7969i1wvtWrVkomJiVa3GzVqlIyOjpbR0dFmf5N0Op3Dfy8L\n",
"i4+PV/ZRksQmNTVVent7y5CQENmmTRv5+eeflygOIioeVROb7Oxs+dJLL8lBgwbJ8ePHy7Vr18r9\n",
"+/fLVatWyZEjR8pBgwbJjRs3lvo4ubm5cuHChRabxolKwl2uqS1bthT5T93f318OHjxYbtmypUT7\n",
"PHfunHzttddktWrVzG6OPvjgA7vbmn5rafxp2LChPHz4sFl3pKioKItJjdHNmzfNblgiIyNlSkqK\n",
"1fVfeOEF5Vva999/vyRvu8QKJzYFBQVK1zjTJM5WYrJ//345atQoGRQUZPHGvkWLFsWK6bPPPlO2\n",
"9fX1lV26dJFffPGFat3cMjMzZZ8+faSfn5+S/P3rX/8yuwYTExPl5cuXZZ06dWRISIjNVq+ZM2fa\n",
"TGwKtySUxty5c+Vjjz0mP/vsM5mamqrafqUsWYtN586dpRBCduvWTV67dk1ZLykpSUkC7rvvviJ/\n",
"a4yJjbHLnyXG47Rt21b6+fnJIUOGFOv9OCOxUfv8L1myRHmf3t7ectSoUXZbeBMSEixeZ926dSt1\n",
"PLYYExshhM2uvu7KXf7fo7LDHa4pVRObGTNmyEGDBsnY2Ngi3RM2bdokn332WTlnzpxSHycrK0sO\n",
"HDjQrMsLUWm40zUVGRkpK1WqJPv37y8TEhIcamVwhF6vl9u2bZOvv/66fPDBB2VOTo7dbU6ePKnc\n",
"yPft21fOmjVLZmdnSykNSZiPj4984IEH5JUrVxw6/jvvvCP9/f3lrl27bK77559/yvXr18ubN286\n",
"9uZUZExsdDqd0hXN+O3t/fffL+Pj4x36o52VlSX79esnlyxZIseOHStbtmwpfX19pU6nk7NmzSpW\n",
"TElJSXLMmDFy6dKlql0Phen1ejl//nzl8ezZs+Wjjz4qP/jgA7Nuc2vXrnWoi9HGjRvlRx99JN98\n",
"800ZFxcn33zzTfn555/L33//3SnxO8OUKVPsfmufmJiorJOQkCATExPl888/LwsKCoqsm5OTI8eP\n",
"Hy9/++23Iq/98ssv8p133pErVqywGs/vv/8uu3TpIk+ePCn/+OOPYnf1qlu3rs334i569uwpO3Xq\n",
"ZPfvhFFmZqYMCgqSVapUkY0bN5a9evWSH3/8sdP/nhuTWEstNp7Anf7fo7LBHa4pIWUJp1YuJD09\n",
"HRMnToROp8Mnn3xSqopD9mRnZ2PYsGGIj49HYGCg045Ddw53uqbS09NRo0YNt6mgk5WVZbWy0ObN\n",
"m9G+ffti7S81NRXh4eFqhOYyubm5OHbsGJo0aeLwNpauqYKCApw4cQJ16tRhGVoqNnf6O+VMmZmZ\n",
"pZ5wlOy7U64nch13uKZUK/dsnITrrrvucmpSQ1TW1axZU+sQzNgql1rcpAaAxyU1gGFW8uIkNdZ4\n",
"eXmhQYMGKkREVHYxqSGiklJtgs5Dhw4BUGcGZCIiIiIiouJQLbFJS0sDALsTuxEREREREalNla5o\n",
"OTk5yMnJAWDoRqPX67Fr1y7s2LED165dQ0hICNq3b4+GDRuqcTgiIiIiIiIzqiU2AKDT6SClxLvv\n",
"vou///7bbJ21a9fi0UcfRUxMTKmPJ4RARESE2wyuJs8nhEBwcDCvKVINrylSG68pUhOvJ1Kb8f5c\n",
"0xjUqIp2+fJljB49Gr6+voiMjERaWhpGjBiBe++9F5mZmVi3bh2WL18OKSXGjRuHdu3a2dxfXl4e\n",
"8vLyLAcsBAICAkobMhERERERqSwzMxO+vr5WX/fx8YGPj49Tjq1Ki40x0cjNzcWRI0cQFxenVP4J\n",
"DQ3F448/joKCAvzyyy9YtWqV3cTmp59+wuLFiy2+FhERgffff1+NsImIiIiISEXvv/8+kpOTrb4+\n",
"YMAADBo0yCnHVqXFRkqJJ554Anq9Hs2bN8ekSZOKrJORkYExY8ZAp9Nh3rx58Pa2nlM52mJz8eJF\n",
"FBQUlDZ8IgghEBoaigsXLkClqZ3oDsdritTGa4rUxOuJ1KTT6VC1alUAwM2bN21eU27fYiOEQK1a\n",
"tZCWloZ69epZXKdKlSrQ6XTQ6/W4ceOGzTr1jr7hgoICJjakCmMf44KCAv6BJ1XwmiK18ZoiNfF6\n",
"IjWZXkNaDhlRrdxzZGQkANhMNPR6PQDY7HdHRERERERUXKolNsZxM4WroRkZ+9qFhoYiMDBQrcMS\n",
"ERERERGpl9g0adIEdevWRXJyMn7//Xez1/R6PRYtWgQA6NSpk1qHJCIiIiIiAqDSGBujcePGYfLk\n",
"yZg9ezZOnjyJe++9F3l5eVizZg3279+PsLAw9O7dW81DEhERERERqZvY1KxZE3Fxcfj000+xdu1a\n",
"rF27VnktIiIC//nPfzi+hoiIiIiIVKdqYgMAdevWxccff4wDBw4gLS0NgCGpady4sdqHIiIiIiIi\n",
"AuCExAYw1LJu2rQpmjZt6ozdExERERERmVGteAAREREREZFWmNgQEREREZHHY2JDREREREQej4kN\n",
"ERERERF5PCY2RERERETk8ZjYEBERERGRx2NiQ0REREREHo+JDREREREReTwmNkRERERE5PGY2BAR\n",
"ERERkcdjYkNERERERB6PiQ0REREREXk8JjZEREREROTxmNgQEREREZHHY2JDREREREQej4kNERER\n",
"ERF5PCY2RERERETk8ZjYEBERERGRx2NiQ0REREREHo+JDREREREReTwmNkRERERE5PGY2BARERER\n",
"kcdjYkNERERERB6PiQ0REREREXk8JjZEREREROTxmNgQEREREZHHY2JDREREREQej4kNERERERF5\n",
"PCY2RERERETk8ZjYEBERERGRx2NiQ0REREREHo+JDREREREReTwmNkRERERE5PGY2BARERERkcdj\n",
"YkNERERERB6PiQ0REREREXk8JjZEREREROTxmNgQEREREZHHY2JDREREREQez1vrAEh98sJZyG0b\n",
"IFOOAVevAOUqQNSuB3F/J6BOBIQQWodIRERERKQqJjZliMzOglyaAPnHb4CU5q8d3ge5ZhnQ+B7o\n",
"Hn8GIqyWRlESEREREamPiU0ZIS+chX5aLJBxzvBESDWIFm2B4BDgWibkgV1AWjJwaC/0cS9ADB0D\n",
"Xesu2gZNRERERKQSJjZlgDx7GvqPJgPXMgE/f4j+wyA6PQShMxlC1XcI5KE90M//CrhwBvKbT6DP\n",
"OA9dr39pFzgRERERkUpYPMDDyRvXoP/8TUNSU74idP99F7ouj5gnNbeJxs2he30q0Ox+w7Y/fw/9\n",
"yh9dHTIRERERkeqY2HgwqddD//WHhu5nfv7QTXgTIjzS5jbCPxC6514xFBIAIJd9B/3WDa4Il4iI\n",
"iIjIaZjYeDC58Vfg8D4AgG7ERIja9RzaTui8IJ4e/0/LzdwvIFOSnBYnEREREZGzMbHxUDLjHOSS\n",
"BAAwjKdp3rpY2wsvL+hGTgRq1AHy86Cf9SFkTrYzQiUiIiIicjomNh5KvyQeuJUDVAmFGDCsRPsQ\n",
"/oHQjX4F8PUDMs5BLpilaoxERERERK7CxMYDyRNHgF1/AgB0A5+G8A8s8b5EWE2IwSMN+/1zHeTf\n",
"u1SJkYiIiIjIlZjYeBgpJfSL4w0P6jcEWrQp9T5FhweAJi0AAPoFX0Hm3ir1PomIiIiIXImJjadJ\n",
"OggcPwQA0A0YDiFEqXcphIDu8VGAt4+hS9rqJaXeJxERERGRKzGx8TD6XxcbFqLvhohspNp+RWh1\n",
"iEcGAgDkr4shL5xRbd9ERERERM7GxMaDyLRk4MBuAIDu4QGq71881A8IrQ7k50Mum6/6/omIiIiI\n",
"nIWJjQeRG1YaFupEAI3vUX3/wscXun4xhmPt2ASZekL1YxAREREROQMTGw8hs29Abt8IABBdHlVl\n",
"bI1FLdoC4ZEAAP2yec45BhERERGRypjYeAi5dQOQmwsEBkHc19FpxxFCQNdviOHBgd2QRw847VhE\n",
"RERERGphYuMBpJSQf/wGABBtukL4+Tn3gI3uARo2BQDof/7eucciIiIiIlIBExtPcCoZOJMG4Pac\n",
"M04mhICu1+OGB8cOGCYEJSIiIiJyY0xsPIDclmhYqF0Poma4aw4a1dgwAShMSkwTEREREbkpJjZu\n",
"TuoLILf/AQAQrTu77LhCCOgeNsxrg33bIdNTXXZsIiIiIqLiYmLj7o7sB65eAYSAuN95RQMsanov\n",
"cLuFSK5e4tpjExEREREVAxMbNyd3bzUsNGgCUamKS48thIB4qL8hjh2bIDMvufT4RERERESOYmLj\n",
"xqReD7l3OwBANG+jSQzi3vZApWCgoABy42pNYiAiIiIisoeJjTs7mQRcvQwAEPe00iQE4e0N0elh\n",
"AIDcuBoyL0+TOIiIiIiIbGFi48bk3m2GhToREFWqahaH6Pgg4O0NXL8KuWOTZnEQEREREVnDxMaN\n",
"Kd3Q7mmtaRyiQiWI+wyFC+T6FZBSahoPEREREVFh3mrubMqUKTh8+LD1g3l7Y/78+WoessyS504D\n",
"Z08BAERzbbqhmRLdekFuXQ+kHjd0kavXQOuQiIiIiIgUqiY2Rg0bNoSPj0/Rg3k75XBlktz7l2Eh\n",
"pBpQs66msQCACK8P1I0CTiZBbloDwcSGiIiIiNyIUzKNsWPHIiQkxBm7vmPIA7sBAKLZ/RBCaByN\n",
"gejQA/JkEuT2TZCDRkD4B2gdEhERERERAI6xcUvyVg5wwtClTzS+R+No/iHu7wj4+QO3bkLu3Kx1\n",
"OERERERECiY27ijpIJCfD3h5AQ2aaB2NQvgHGua1ASA3rdE4GiIiIiKifzCxcUPy8D7DQkS023X3\n",
"Eh0eMCwkH4VMT9U2GCIiIiKi25yS2LAccOnIQ3sBuFc3NEVENFCjDgBAbl6rcTBERERERAZOKR4w\n",
"ZswY+Pn5oUKFCqhbty7uv/9+tGvXDl5eXs44XJkir10BTp8EAIhG7pfYCCEgOjwAuXA25NYNkP2G\n",
"QliogEdERERE5EqqtthERETg7rvvRsOGDVG1alVkZmZix44dmD59Ol555RVkZmaqebgySR7eb1gI\n",
"CDSUV3ZDonVnwMsbyLoO/L1T63CIiIiIiNRtsYmJiTF7nJ+fj127dmHu3LlITU3F1KlT8eabb9rd\n",
"T15eHvLy8iy+JoRAQECAsuwupZBVc3t8jYi+Gzo3nfdHlK8I2fReyD3bILclQteyrdYhlZrxOipz\n",
"1xNphtcUqY3XFKmJ1xOpyfQ6unnzps1hKT4+Phbnu1SDU++cvb290apVK9SuXRsvvvgijh49iiNH\n",
"jqBhw4Y2t/vpp5+wePFii68FBwdj5syZAIDQ0FDVY9bamaSDKABQsXVHlK9eXetwrMp+uC8u7dkG\n",
"+fdOhJYLhFf5ilqHpIqwsDCtQ6AyhtcUqY3XFKmJ1xOpbcKECbh8+bLV1wcMGIBBgwY55dguaRKo\n",
"UaMGWrRogR07duDw4cN2E5u+ffuiZ8+eFl8zzQgvXLiAgoICVWPVkrycgYILZwEA18Pq4MbZsxpH\n",
"ZJ2sHQkEBgHZWTi3cgl0nR7WOqRSEUIgLCwM586dY/ELUgWvKVIbrylSE68nUpNOp0O1atUAAJ98\n",
"8ondFhtncVlfpxo1agAArl+/bnddR5uopJRl6pdRn3TIsBAQBFm9NuDO783bB6JlO8hNa6DfmgjR\n",
"8SGtI1JFWbumSHu8pkhtvKZITbyeSA2m15BxyIgWXDaPTU5ODgAgMDDQVYf0PMdvJzaRjSB07j/F\n",
"kGjd2bBw/BBkxjlNYyEiIiKiO5tqd89nzpxBWloa8vPzLb5+4MABAIbKaWSZPH4YACAiG2kciYMi\n",
"GwNVDOOc5F8bNQ6GiIiIiO5kqiU2M2bMwH//+1/89ddfRV5bv3490tPTUalSJTRr1kytQ5YpMjsL\n",
"OJ0KABCRjTWOxjFCp4No1QkAILclsimbiIiIiDSj2hibRx55BMeOHcPMmTNx4sQJNG7cGF5eXti9\n",
"ezfWrjXMUD906FBO0mlN8lFA6gFvb6Cee85fY4lo3Rly1SLgfDpwKhmoU1/rkIiIiIjoDqRaYtOm\n",
"TRtkZWVh7ty5WLlyJVauXKm8FhAQgCFDhqBtW8+f78RZpHF8TXgkhI+vtsEUg6heG6gZDqSnQu7c\n",
"DMHEhoiIiIg0oGpVtO7du6Nt27bYv38/Lly4AMAw10zTpk1ZNMCOf8bXeEY3NFPi3vaQ6amQO7dA\n",
"9o3hZF9ERERE5HKql3sODAxE69at1d5tmSbz84GUowAAEeWJiU07yOXzgYxzQFoyEM5WGyIiIiJy\n",
"LfevKXwnSE8FcnMNyxG2Jy91RyKsFlCrHgBA7tyscTREREREdCdiYuMG5Mkkw0JINYjyFbQNpoTE\n",
"ve0AGBIbVkcjIiIiIldjYuMObic2oq7nVEMrTLQ0JDa4eB5IPa5tMERERER0x2Fi4waUFhtPTmzC\n",
"agK1jd3RtmgcDRERERHdaZjYaEzeugWcSQPg2S02gKE6GsDuaERERETkekxstHbqBKDXA0IA4RFa\n",
"R1MqxnE2uHQBOMnuaERERETkOkxsNKZ0QwurBeHv2XP9iNAaQB1DciZ3sToaEREREbkOExutpRgL\n",
"B0RqG4dKlO5ou/5kdzQiIiIichkmNhorC4UDTInmbQwLF88D6Sc1jYWIiIiI7hxMbDQks24AF84C\n",
"8PzCAUYirCZQvTYAQO7epnE0RERERHSnYGKjJeN8L15eSqnkskA0bw0AkHuZ2BARERGRazCx0ZA8\n",
"lWxYqFEHwsdX22BUJO4xJDY4lQJ58by2wRARERHRHYGJjZZOpQAARG3PLvNcRHh9oFIVAGy1ISIi\n",
"IiLXYGKjIXk7sUHtuprGoTah00E0bwUAkHv+0jgaIiIiIroTMLHRiMzLBc6dBgCIWmVnfI2R0h0t\n",
"6RDk9avaBkNEREREZR4TG62cOQXo9YblMlQ4QNGgCRAYBEg95P4dWkdDRERERGUcExuNKIUDgkMg\n",
"gsprG4wTCG9viKb3AQDkHo6zISIiIiLnYmKjldMnDf+WtcIBJpTuaIf2Qt7K0TYYIiIiIirTmNho\n",
"xNhiI2rV1TYQZ7qrOeDtA+TlAgd2ax0NEREREZVhTGw0IKUETp0EUAZLPZsQ/gFA43sAAHLfdo2j\n",
"ISIiIqKyjImNFi5nADezDMtlrNRzYaLZ7XE2f++E1BdoHA0RERERlVVMbLRgLBzgFwCEhGkbi5OJ\n",
"uw2JDW5cA1KStA2GiIiIiMosJjYakLe7oaFWOISubH8EonIVoE59AGDZZyIiIiJymrJ9V+2u0lMB\n",
"lPHCASaUss8cZ0NERERETsLERgPyTJphoUYdbQNxEeM4G6SnQl66oG0wRERERFQmMbFxMZmfB1w4\n",
"AwAQ1WtrHI2L1KkPVKwMAJD7d2ocDBERERGVRUxsXO38WaDgdnWwmndIi41O9093tP3sjkZERERE\n",
"6mNi42JKN7Ry5YHylbQNxoVE03sNC0f2Q+bc1DYYIiIiIipzmNi4msn4GiGEtrG4UqN7AG8fID8f\n",
"OLJP62iIiIiIqIxhYuNixhYbcYcUDjASfv5Aw6YAALmPZZ+JiIiISF1MbFztDquIZkoZZ/P3Tki9\n",
"XuNoiIiIiKgsYWLjQjLPpCLaHZnY3B5nc/UKkHZC22CIiIiIqExhYuNK59MBY0vFnZjYVAkFbk9K\n",
"yu5oRERERKQmJjYupFREK18RonxFbYPRCMs+ExEREZEzMLFxpTt4fI2RMbFBWjJk5mVtgyEiIiKi\n",
"MoOJjQv9UxGttsaRaKheFBBUHgAgD+7WOBgiIiIiKiuY2LjS2dOGf6vfwS02Oi+IxvcYHvy9S9tg\n",
"iIiIiKjMYGLjIjI/H8g4BwAQYTU1jkZjTVoCAOThvZAFBRoHQ0RERERlARMbV7l4HijINyyH1dI2\n",
"Fo2JJs0NC9lZQPJRbYMhIiIiojKBiY2rnE83/OsXAFQK1jYWjYkKlYHwSACAPMDuaERERERUekxs\n",
"XESeu53YhNWEEELbYNyAuPt2dzQmNkRERESkAiY2rnK7xUZUu8PH19wmbo+zQVoy5NUr2gZDRERE\n",
"RB6PiY2LSGNFtDu9cICRadnnAyz7TERERESlw8TGVc7/0xWNCpV9Znc0IiIiIiolJjYuILNuANev\n",
"AgDEHV4RzYyx7POhPSz7TERERESlwsTGFc6d/mc5tIZ2cbgZs7LPKSz7TEREREQlx8TGBZSKaMFV\n",
"Ifz8tA3GjZiVff6b42yIiIiIqOSY2LjCeRYOsEY0aQGAZZ+JiIiIqHSY2LiAscWG42uK+qfs8wmW\n",
"fSYiIiKiEmNi4wrnWBHNqogGQGA5AIA8yO5oRERERFQyTGycTOoLgAtnAXByTkuEzgvirttFBDif\n",
"DRERERGVEBMbZ7uUARTkG5aZ2FhmHGdzkGWfiYiIiKhkmNg4W8Y5w7/e3kDlYG1jcVPGAgLIvgGk\n",
"HNM2GCIiIiLySExsnEze7oaGkDAInZe2wbgpUaEyUKc+AFZHIyIiIqKSYWLjbBm3E5vQ6trG4eaM\n",
"1dEkx9kQERERUQkwsXEyecHQFU1UDdM4Evcm7r7dHS3tBOT1q9oGQ0REREQeh4mNs7HFxjH1ooGA\n",
"IBLoob8AACAASURBVEBKyEN7tY6GiIiIiDwMExsnklIqiY1gYmOT8PICGjU1POB8NkRERERUTExs\n",
"nOnqZSA317BclYmNPaKxYT4beWivISkkIiIiInIQExtnMlZE0+mAKlW1jcUDKBN1Xr0CpJ/UNBYi\n",
"IiIi8ixMbJxIGuewqRIK4e2jbTAeQIRUUyYxlQf3aBwNEREREXkSJjbOZGyxYUU0h4nG9wBgYkNE\n",
"RERExcPExpkusHBAcYm7bpd9TjoIeStH22CIiIiIyGMwsXEipSsaCwc4LroJ4OUN5OcDxw5qHQ0R\n",
"EREReQinJjaZmZl45plnMHjwYCQmJjrzUG5HSmnSYsOuaI4S/gFAZCMAgGTZZyIiIiJykNMSGykl\n",
"vvjiC1y9aphFXgjhrEO5pxvXgZtZhuWqNbSNxcMYq6NxnA0REREROcppic2yZcvw999/O2v37u/2\n",
"xJwAgKrVtIvDAylln8+dhryUoW0wREREROQRnJLYHD16FD/++CNCQkLQsmVLZxzC7UljRbRKVSB8\n",
"/bQNxtPUqgeUrwgAkIfYakNERERE9qme2Ny4cQOffvopAGDcuHEICgpS+xCewZjYsCJasQmdzqTs\n",
"M8fZEBEREZF9qic2M2bMwKVLlzBw4EBER0ervXvPcbsimuAcNiVjLPt8eB9kQYG2sRARERGR21M1\n",
"sfn111+xc+dONGnSBP369VNz1x5HZrDFpjTEXYYWG2RnASeTtA2GiIiIiNyeaolNSkoKvvvuO1So\n",
"UAFjx45Va7eei5NzloqoUBmoXQ8Aq6MRERERkX2qJDY5OTmYNm0aCgoKMGbMGFSqVEmN3XosmXMT\n",
"uG4ocw12RSsx0fh22WcWECAiIiIiO1RJbL7++mucO3cOvXr1QrNmzdTYpWe7dOGf5RCWei4ppexz\n",
"8jHIrBvaBkNEREREbs27tDvYsGEDtmzZgqioKPzrX/+yup6U0uF95uXlIS8vz+JrQggEBAQoy+44\n",
"8ac0JjYBgRBB5d0yRo8QdRfg6wfk3gKO7Ie4t53TDmX8jPhZkVp4TZHaeE2Rmng9kZpMr6ObN2/a\n",
"vO/38fGBj4+Pc+KQxck4LJgyZQoOHz7s8PqdOnXCc889Z3OdH3/8EYsXL7b4WnBwMGbOnFmsGF3t\n",
"+s8/IPOrj+BTLwphXyzQOhyPlhH7AnJ2bkHQg48heNxrWodDRERERDY8++yzuHz5stXXBwwYgEGD\n",
"Bjnl2KVusYmIiIC3t/XdnDp1CpmZmahVqxYqV66M2rVr291n37590bNnT4uvmWaEFy5cQIEblgIu\n",
"SD4OAMivGIyzZ89qHI1n00c2BnZuQdaOLcg5c8Zp3ywJIRAWFoZz584Vq3WRyBpeU6Q2XlOkJl5P\n",
"pCadTodq1QzDLz755BO7LTbOUurEJiYmxubr06dPxx9//IHevXujU6dODu3T0SYqKaVb/jLKi4Y5\n",
"bFAl1C3j8yjGcTaXMyDPngaq13Lq4dz1miLPxWuK1MZritTE64nUYHoNGYeMaEH1CToJ/xQPCAnV\n",
"No6yoFpNoIrhPMqDuzUOhoiIiIjcFRMbZ7hoSGxEFVZEKy0hBERjw2SdnM+GiIiIiKxhYqMymZ0F\n",
"ZN8uTcxSz6oQd7UwLBz7G9JKtTwiIiIiurM5PbG548oIms5hU4Vd0VTRqCkgdEBuLnD8kNbREBER\n",
"EZEbcnpi89xzz2HhwoUOFw7weJfOG/4NLAcRGKRtLGWECCwHRDQAwHE2RERERGQZu6KpTF68ndiw\n",
"cICqRGNDdTSOsyEiIiIiS5jYqO124QB2Q1OXMJZ9Pn0SMtP6pE9EREREdGdiYqMyY4uNYOEAddWL\n",
"Am537ZOH9mocDBERERG5GyY2ajMWD2CpZ1UJnRfQqJnhAbujEREREVEhTGxUJKVUEhvBMTaqM5Z9\n",
"lof2QOr1GkdDRERERO6EiY2asm8AN7MNy+yKpjplnM2Na8CpZG2DISIiIiK3wsRGTRdN57Cpql0c\n",
"ZZQIrgpUrw0AkAdY9pmIiIiI/sHERk3GOWzKlYfwD9Q2ljJKNL4HAAsIEBEREZE5JjYqUuawYeEA\n",
"pzGOs8GJw5A52doGQ0RERERug4mNmoxd0Vg4wHkaNAG8fYCCAuDI31pHQ0RERERugomNijiHjfMJ\n",
"Pz8gqjEAQLLsMxERERHdxsRGTZzDxiWUss8HWUCAiIiIiAyY2KiEc9i4jlL2OeMc5IWz2gZDRERE\n",
"RG6BiY1asm8At3IMy8FMbJyqZjhQMRiAYbJOIiIiIiImNmq5lPHPcnCIdnHcAYQQ/5R95jgbIiIi\n",
"IgITG/Vcvp3YBAZBBHAOG6czdkc7sh8yP1/bWIiIiIhIc0xsVCKNiU1ltta4gmjcHBACyLkJJB/R\n",
"OhwiIiIi0hgTG7Vcvmj4N7iqtnHcIUT5CkCd+gDYHY2IiIiImNio53aLjajCxMZV/in7zMSGiIiI\n",
"6E7HxEYlSlc0tti4jLjLUEAAaScgr1/TNhgiIiIi0hQTG7WwK5rrRTQE/AMAKVn2mYiIiOgOx8RG\n",
"BbKgAMi8DAAQLB7gMsLbG2jY1PCA3dGIiIiI7mhMbNTwf/buPD7q6t7/+PtM9gAhBAhhSVhlF1kE\n",
"2UQFl2qtSkWtte3tVVur1l/r7V61Vtuqt621+vCqrb1tta3W3WJvFVygUiuoCIqAQti3yJKV7Mmc\n",
"3x/fmQEkCSH5Ts4sr+fjwSPfZIb5fqKHJO+ccz6nvFSyQe+aPTZdyoTaPtt1q2WtdVwNAAAAXCHY\n",
"+CG8v8YEpJ55bmtJMuEGAqoolXZtc1sMAAAAnCHY+CDSOCA3z1sehS5j+hZI+f0l0R0NAAAgmRFs\n",
"/BDpiMb+GhfM2NBytLXvOq4EAAAArhBs/BA+w4aOaE6E99lo4zrZ+nq3xQAAAMAJgo0PbKTVMzM2\n",
"Tow+UUpJkZoapQ0fuK4GAAAADhBs/MDhnE6ZzGxp+BhJLEcDAABIVgQbP0SWojFj48rhbZ8BAACQ\n",
"fAg2nWRra6Saau8dZmycibR93rPjUJc6AAAAJA2CTWeF99dIBBuXCodKPXpKou0zAABAMiLYdFZZ\n",
"aHYgPUPq1sNtLUnMBAIyYyZKYp8NAABAMiLYdJI9rHGAMcZtMcku3PZ5/Xuyzc1uawEAAECXIth0\n",
"1gFaPceKyHk2NdXS1o1uiwEAAECXIth0FodzxgzTs5c0aKgk9tkAAAAkG4JNJ9my8IwNwSYWHGr7\n",
"TLABAABIJgSbzuJwzpgSWY62eYNs9UG3xQAAAKDLEGw6wQaDUmjGhsM5Y8SIsV6HOhuUPnzPdTUA\n",
"AADoIgSbzjhYKTU1ede9erutBZIkk5YmjTpREvtsAAAAkgnBpjPKDhy6ziXYxIrIPpu1q2StdVwN\n",
"AAAAugLBpjPCjQOyu8lkZrmtBRGRfTal+6SSXW6LAQAAQJcg2HSCDc/Y9GJ/TUzpN1DqnS9Jsmvf\n",
"dVwMAAAAugLBpjPKQ8EmN89tHTiCMUZm7ERJ7LMBAABIFgSbzgh3RGPGJuaYcZO9iw1rZBsb3BYD\n",
"AACAqCPYdMKhpWg0Dog5YyZIgYDU0CBtXOe6GgAAAEQZwaYz2GMTs0x2d2noSEmSXcdyNAAAgERH\n",
"sOkga21kj42h1XNMCi9Hsx/QQAAAACDREWw6qrZaqq/zrlmKFpPM+NA+m13bZEv3uy0GAAAAUUWw\n",
"6ajDD+dkKVpsGjxC6p4jibbPAAAAiY5g01HhwznTM6Tsbm5rQYtMIBA5rNN+sNJxNQAAAIgmgk0H\n",
"HX44pzHGbTFo3Ykne2/XrZZtanJbCwAAAKKGYNNRZRzOGQ/M2EmSMVJdrbRpvetyAAAAECUEm44K\n",
"d0Rjf01MMz1ypCEnSJLsGpajAQAAJCqCTQfZ8B4bOqLFPDN+iiT22QAAACQygk1HcThn3DAnesGG\n",
"ts8AAACJi2DTUWXhpWjssYl5tH0GAABIeASbDrD1dVLNQe8dZmxingkEIod1shwNAAAgMRFsOuKI\n",
"wznZYxMXQvtsaPsMAACQmAg2HRFuHJCSKnXv6bYWtAttnwEAABIbwaYDbHmpd5GbJxPgP2E8oO0z\n",
"AABAYuOn8o6g1XNcou0zAABA4iLYdEQZh3PGI3Piyd4FbZ8BAAASDsGmAzicM04NHi718PZE0fYZ\n",
"AAAgsRBsOiK8x4ZgE1dMICAzbpIklqMBAAAkGoJNR4RmbEwuwSbu0PYZAAAgIaVG40X37duntWvX\n",
"qqysTIFAQH369NG4ceOUm5sbjdt1KdvUJFVVeO8QbOKOGTtJ9vC2z6NOdF0SAAAAfOBrsAkGg/r9\n",
"73+vl19++ajHUlJSdOmll+qiiy7y85Zdr7JMsta7zs1zWwuOW6Tt85YNsmtWyhBsAAAAEoKvwebp\n",
"p5/Wyy+/rF69eun8889XUVGR6uvr9d577+mVV17R448/rqKiIk2ePNnP23at8P4aSepJsIlH5sST\n",
"Zbds8PbZLPiy63IAAADgA1+DzWuvvSZJ+ta3vqUTTjgh8vGpU6dKkl5++WUtWrQoMYJN9xyZtDS3\n",
"taBDzPgpsgsfi7R9Nnm07QYAAIh3vjYPuOaaa/S9731PI0aMOOqxSZO8blR79+7185ZdzlaEgg3L\n",
"0OLX4W2f6Y4GAACQEHwNNpMmTdLkyZNljDnqserqaklS795xvuG+nGAT77y2z96soV1DsAEAAEgE\n",
"XdLuuampSS+++KIkadasWV1xy+gJBRvD/pr4NsFbHqn1q2UbG9zWAgAAgE6LerDZv3+/fvGLX2jz\n",
"5s067bTTdMYZZ0T7llFlmbFJCGbcRCklRaqvkz76wHU5AAAA6KSonGPz5z//WZs3b1ZlZaV27Nih\n",
"Pn366JprrtHcuXOjcbuuxR6bhGCyu0sjxkofrZF9/23pxCmuSwIAAEAnRGXGZsuWLVq7dq127Ngh\n",
"SSotLdWKFSu0adOmaNyua4WXohFs4p4JLUez778tGz6bCAAAAHEpKjM2t9xyiySppqZGW7du1Usv\n",
"vaQVK1bo/fff17e//W1NmdL2b8cbGxvV2NjY4mPGGGVlZUWuW2pUEC22sUGqrvLundu7S+8N/wVO\n",
"mqrmp34vHdgrs2eHNGAA/0/hm/BYYkzBL4wp+InxBD8dPo5qa2vb/IVxWlqa0qJ0ZIqxXfSr6kcf\n",
"fVT/93//p/z8fP36179WSkpKq8998skn9fTTT7f4WF5enh566KFoldmmppJd2nPVhZKk/o/8Q6l9\n",
"8p3UAX9Ya1Xy1c+qafcO9fzPG5Sz4D9clwQAABDXvva1r6m0tLTVxxcsWKBLL700KvfusmDT0NCg\n",
"a6+9VgcPHtQtt9yi8ePHt/rc9s7Y7N27V83NzVGptyV24zo1//f3JGOU8tBzMm2EM8SH5r8+LPvK\n",
"QpkTxmnQrx9RSUkJy9LgC2OMCgoKGFPwDWMKfmI8wU+BQED9+vWT5HbGJipL0VqSnp6u0aNH6513\n",
"3lFJSUmbwaa9n7C1tkv/MdryA95FTq4UCPCFIAGYCVNlX1koW7xezVUVXT6mkPgYU/AbYwp+YjzB\n",
"D4ePofAEhAtdco5NWPiTDgS69La+ibR65gybxHHCWCkzS7JB1a1803U1AAAA6CDfEkZjY6NWrlyp\n",
"VatWtfi4tTbSJa2oqMiv23YtzrBJOCY1TRo3SZJU99Yyx9UAAACgo3wLNsFgUL/85S911113affu\n",
"3Uc9vmTJEu3du1f9+/fXiBEj/Lpt16qg1XMiCrd9rn3n37JduGcLAAAA/vFtj01GRoZmzZqlZcuW\n",
"6bbbbtO5556roqIiBQIBrV69WosWLVJKSoq++tWv+nXLLsdStMRkxk+RNUa2ukratF46YZzrkgAA\n",
"AHCcfG0ecPXVV6umpkYrV67U448/fsRjffv21TXXXKOxY8f6ecuuxVK0hGRycqWhI6XNHyn4/jsK\n",
"EGwAAADijq/BJjMzU9/97ne1c+dOffjhh6qqqlJGRoaKioo0duzYuG0aEMFStIQVmDBVwc0fyb7/\n",
"lnQx59kAAADEm6i0ex40aJAGDRoUjZd2xtbVSrU13ju5vd0WA9+ZCVOl5/8s7d4hu69Epm+B65IA\n",
"AABwHOJ8CqULVZQdumbGJvEUDlVK73xJkn3/HcfFAAAA4HgRbNorfDhnSorUPcdtLfCdMUaZ02ZL\n",
"kuz7bzuuBgAAAMeLYNNOhzqi9ZKJ971CaFHWtFO9iw1rZOtq3BYDAACA48JP6O1Fq+eElzFhqpSW\n",
"LjU1Sevec10OAAAAjgPBpr1o9ZzwApmZMmMmSJLse285rgYAAADHg2DTXrR6TgrmpFMkeftsbLDZ\n",
"cTUAAABoL4JNO9lw8wCWoiU0c9I07+JgpVT8odtiAAAA0G4Em/aKLEXjDJtEZnLzpKEjJUn2vRWO\n",
"qwEAAEB7EWzawVrLUrQkYiaGlqOtXuH9vwcAAEDMI9i0R2211NDgXRNsEl442GjvHmnPDrfFAAAA\n",
"oF0INu0RXoYmEWySQf9CKb+/JG/WBgAAALGPYNMe4WCTmiZld3dbC6LOGHPEcjQAAADEPoJNO9jD\n",
"zrAxxrgtBl0i3PZZWzYc+v8PAACAmEWwaY8KDudMOiNGS91zJEn2fQ7rBAAAiHUEm/YI/cbecIZN\n",
"0jCBFJkJUyVJdjXBBgAAINYRbNrh8KVoSB6R7mjr35Otq3VbDAAAANpEsGmP8FI0ZmySy9iJUlq6\n",
"1NQorV3luhoAAAC0gWDTHhVl3tuevdzWgS5lMjK9cCO6owEAAMQ6gs0xWGulSi/YGIJN0jEnTZMk\n",
"2TXvyDY3O64GAAAArSHYHEttjdTQ4F0TbJKOOWmqZIxUXSUVr3NdDgAAAFpBsDmW8DI0iT02Scjk\n",
"9JKGjZIk2VXLHVcDAACA1hBsjiW0DE0pKVK37m5rgRNm0nRJXrCx1jquBgAAAC0h2BxDpNVzTi+Z\n",
"AP+5klE42Kh0n7R9k9tiAAAA0CJ+Uj8WOqIlPZM/QBo0RJJkV/7bbTEAAABoEcHmWCoJNpDM5JmS\n",
"JPvumyxHAwAAiEEEm2OpoNUzJDN5hnfx8S5p9w63xQAAAOAoBJtjsOGlaDkEm6Q2oEjqN1CSZFex\n",
"HA0AACDWEGyOhT02kGSMkZkc6o628k3H1QAAAOCTCDbHEl6KlkuwSXbhfTbauUV27x63xQAAAOAI\n",
"BJs22MZG78R5iaVokAaPkPL6SpLsKmZtAAAAYgnBpi2V5Yeue+a5qwMxwVuO5jURsO8SbAAAAGIJ\n",
"waYtFaWHrnNy3dWBmGEmhbqjbf5ItuyA22IAAAAQQbBpS7hxQLceMmlpbmtBbBgxOhJyWY4GAAAQ\n",
"Owg2bbDhGRs6oiHEBFJkJoa6o7EcDQAAIGYQbNpSEdpjQ7DBYcyU0HK0DWtlqyrcFgMAAABJBJu2\n",
"hWZsDMEGhxt5opTdXbJB2dUrXFcDAAAAEWzaZDmcEy0wqakyJ02TxHI0AACAWEGwaUsk2NDqGUcy\n",
"U0KHda5/T7b6oNtiAAAAQLBpUzjY0OoZnzR2kpSVLTU30R0NAAAgBhBsWmGDQanKax5gcpmxwZFM\n",
"WprMxFMkSfadfzmuBgAAAASb1lRXSc3N3jV7bNACM/VU72L9e7JVlW6LAQAASHIEm9aEz7CRpByC\n",
"DVow5iSvO1owyHI0AAAAxwg2rSkP7a9JT/f2UgCfYFLTZCaFDutkORoAAIBTBJtW2MpDHdGMMW6L\n",
"QcwyJ8/2Lj5cc2jMAAAAoMsRbFpDRzS0x+gJUvce3mGdnGkDAADgDMGmNZxhg3Ywqakyk2ZIkuzb\n",
"LEcDAABwhWDTmlCwMXREwzFEuqNtXCtbXtr2kwEAABAVBJtW2HBXNIINjmXkeKlHT8la2ZX/dl0N\n",
"AABAUiLYtCayFI1gg7aZlBSZKTMl0R0NAADAFYJNayrKJUmGPTZoh0h3tOJ1sqX73RYDAACQhAg2\n",
"LbB1tVJ9rfdOT7qioR1OGBuZ3bMr33BcDAAAQPIh2LSk4rDzSJixQTuYQIrMlFmSWI4GAADgAsGm\n",
"JeFgYwJSjxy3tSBuRJajbf5Idl+J22IAAACSDMGmBTZyOGdPmUCK22IQP4aPlvL6SJLsW687LgYA\n",
"ACC5EGxaQqtndIAJBGSmzpEk2RX/lLXWcUUAAADJg2DTkspwq2f21+D4mOmneRd7dkg7tzqtBQAA\n",
"IJkQbFpS7gUbk0NHNBwfM2ioNHCwJMmuWOq2GAAAgCRCsGlBZI8NMzboAHOKN2tj31omGww6rgYA\n",
"ACA5EGxaEl6KlsseGxw/M83bZ6Oy/dLGtW6LAQAASBIEm5ZUhJeiEWxw/EzvfO/ATnlNBAAAABB9\n",
"BJtPsE1NUlWF9w5d0dBBZlpoOdrKN2QbGx1XAwAAkPgINp9UWX7ommCDDjInz5JSUqSaaumDla7L\n",
"AQAASHgEm08K76+RCDboMNM9Rxo/RZIUpDsaAABA1BFsPincES2rm0x6httaENfC3dH03tuyNdVu\n",
"iwEAAEhwqX6/YH19vdasWaPdu3erqalJOTk5GjFihIYMGeL3raLCVpR6F8zWoJPMhGmyGVlSfa3s\n",
"qjdlZp3puiQAAICE5Wuweeutt/Sb3/xGBw8ePOqxsWPH6sYbb1ROTo6ft/RfRWiPDcEGnWQyMmQm\n",
"T5d9c4nsm0skgg0AAEDU+BZsiouLdc899ygQCOiCCy7QmDFjJEkbN27USy+9pHXr1umBBx7Q97//\n",
"fb9uGR2hGRtDsIEPzIy5Xqj5aI3s/o9l+vRzXRIAAEBC8i3YvPTSSwoGg/rc5z6nCy+8MPLxyZMn\n",
"a8qUKbr55pu1atUqlZSUqKCgwK/b+s6G99gQbOCHUSdKeX2k0v2yy5fInP851xUBAAAkJN+aB1x4\n",
"4YW6/fbbddZZZx312IgRIzRw4EBJ0tatW/26ZXQQbOAjEwjITJ8rSd6SNGsdVwQAAJCYfAs2hYWF\n",
"GjVqlLKzs1t8vKmpSZKUlpbm1y2jg2ADn5kZZ3gXe/dIm9a7LQYAACBBdUm7582bN6ukpETGGBUV\n",
"FXXFLTvEWhs5x8b0zHNcDRKFKRgoDR8tSbL/fs1xNQAAAIkp6sGmvLxc9957ryTppJNOUt++faN9\n",
"y46rOSiFZpaUw4wN/GNmhpajvfMv2YZ6x9UAAAAknqgGm7179+rWW29VSUmJ+vbtq2uuuSaat+u8\n",
"8DI0SeqZ664OJBxz8mwpLV2qrZFdtdx1OQAAAAknasFmw4YNuummm1RSUqLBgwfr9ttvV15ejC/v\n",
"CgeblFSpWw+3tSChmOzuMhNPkSTZN1mOBgAA4DdfD+gMe+211/S73/1Ozc3Nmj59uq677jplZGRE\n",
"41a+OtTqOVfGGLfFIOGYmXNl314mrXtPtuyATK/erksCAABIGL4Hm+eff16PP/64jDG6/PLLddFF\n",
"Fx33azQ2NqqxsbHFx4wxysrKilz7GUBMZbmsJPXMI9gkmfD/76j+fx83ScrNk8pLpRVLZc5dEL17\n",
"wbkuGVNIKowp+InxBD8dPo5qa2vbPN4iLS0tal2SfQ02y5cv1+OPP67U1FR94xvf0LRp0zr0Os89\n",
"95yefvrpFh/Ly8vTQw89JEnKz8/vcK0tKW9uVJWkzPwC9e3f39fXRnyI9uGx5fPOV9Uzjyrw1usq\n",
"+M+v8w0lCcTygcSIT4wp+InxBL/deOONKi0tbfXxBQsW6NJLL43KvY316cTAuro63XDDDaqsrNS1\n",
"116r008/vcOv1d4Zm71796q5ubnD9/mk5ofvll2xVGbOOUr50td9e13EPmOMCgoKVFJSEtVDNO3u\n",
"7Wr+0fWSpJQf/EIm1AYaiaerxhSSB2MKfmI8wU+BQED9+vWTlCAzNi+//LIqKys1bdq0ToUaqf2f\n",
"sLXW13+MtvLQ4Zz8I09Ofo+po/Qv9M602fShgq8vUmDYqOjdCzEh6mMKSYcxBT8xnuCHw8dQeALC\n",
"Bd+6or366quS1KE9NTGjPDRtxhk2iCIz+yxJkn17mWxtjeNqAAAAEoMvwaampkZ79uxRSkqKBg8e\n",
"7MdLulFZLkkyuQQbRI85ebaUmSU11Htd0gAAANBpvixFq66uluRNQ915551tPnfw4MH60pe+5Mdt\n",
"fWUbG6XqKu8dZmwQRSYzS2baHNnXF8kuWyzNOcd1SQAAAHHPl2ATXlcXDAb1wQcftPncYDDoxy39\n",
"F5qtkST1JNgguszss2VfXyRt3Si7Y4tM4VDXJQEAAMQ1X4JNfn6+nnjiCT9eyp1w4wCJGRtE35AR\n",
"0qCh0s4tsv96Webyr7quCAAAIK751jwg7lWEGgdkd5eJUgs6IMwYI3NqqInA8iWyDfWOKwIAAIhv\n",
"BJsQWxFaisYyNHQRc8rpUmqaVFMtu2q563IAAADiGsEmrOLQGTZAVzDdustMmSlJXhMBAAAAdBjB\n",
"JiwUbAz7a9CFzKmhjmgfrZH9eLfbYgAAAOIYwSbEhpsHcIYNutLIcVJ+f0mSXbbIcTEAAADxi2AT\n",
"Fl6KxowNupAxRmbOpyRJ9o1XZBsbHFcEAAAQnwg2YeyxgSNm1jyvicDBKtmVb7guBwAAIC4RbBQ6\n",
"YDS0FM0QbNDFTPccmamzJUl26YuOqwEAAIhPBBtJqjkoNTV51yxFgwPm9PO8i00fym7f7LYYAACA\n",
"OESwkQ4tQ5NoHgA3ho6UioZJkuw/mbUBAAA4XgQb6VCwSU2Vsru7rQVJyRgTmbWxy5fK1lQ7rggA\n",
"ACC+EGwk2cM6ohlj3BaDpGWmzZGyukkN9bJvLnFdDgAAQFwh2EiRxgF0RINLJiNTZuZcSd5yNGut\n",
"44oAAADiB8FGOuwMm1y3dSDpmdPO9S727JA2fOC2GAAAgDhCsJEiwcb0zHNcCJKd6T9IGj1BkmSX\n",
"/MNxNQAAAPGDYCPJVpZ7Fz2ZsYF7gXATgVVvypbud1sMAABAnCDYSFJ5qfeWGRvEgomnSHl9pGBQ\n",
"dimzNgAAAO1BsJGk0IyNYcYGMcCkpMic8WlJkn19kWx9veOKAAAAYl/SBxvb2ChVV3nv5NAVDbHB\n",
"nHq2lJ4uVVfJrqD1MwAAwLEkfbAJz9ZIYikaYobp1kNmRqj18ysv0PoZAADgGAg24TNsJNo9BNgU\n",
"YAAAIABJREFUI6aYeZ/xLvbskNavdlsMAABAjCPYVIQaB3TrIZOW5rYW4DCmf6E0bpIkKfjKC46r\n",
"AQAAiG1JH2xsRWgpGrM1iEGBMy/wLta8I1uy020xAAAAMSzpg034cE71pHEAYtDYSVLBIEmSffXv\n",
"josBAACIXQSbULAxBBvEIBMIyMw7X5Jk//2qbPVBxxUBAADEpqQPNraSGRvENjNjrpTdTWqol319\n",
"ketyAAAAYlLSBxuWoiHWmYxMmdM+JUmyr77gnb0EAACAIxBswsGGwzkRw8y8C6TUVKmiVHY5B3YC\n",
"AAB8UlIHG2tt5Bwb9tgglpmevQ4d2Ln4Odlg0HFFAAAAsSWpg41qDkpNTd41wQYxzpw9XzJGKtkl\n",
"vf+W63IAAABiSnIHm/AyNIlgg5hnCgZKk6ZLkoIvPeu4GgAAgNhCsJG8vQvZ3d3WArRD4JzPeheb\n",
"PpTduM5tMQAAADEkqYONPaxxgDHGbTFAO5hho6SR4yVJwUXM2gAAAIQldbARZ9ggDgU+FZq1ee8t\n",
"2d3b3RYDAAAQI5I72HCGDeLR+CnSwMGSJLvoOcfFAAAAxAaCjSTDGTaII8YYmdBeG7tiqez+jx1X\n",
"BAAA4F5SBxtbWe5dMGODOGOmnir16Sc1N8u+9IzrcgAAAJxL6mCj8lLvLcEGccakpsqcd4kkyf7r\n",
"FdnSfY4rAgAAcCu5g01oxsb0zHVcCHD8zIwzpLy+UnOTLOfaAACAJJe0wcY2NkrVVd47PfPcFgN0\n",
"gElNk/nUxZIku2yxbHgGEgAAIAklbbAJz9ZIkmgegDhlZp8p5eZJTY10SAMAAEktiYNN2aHrHJai\n",
"IT6ZtPRDHdJef/FQQwwAAIAkk7zBpiK0bKdbD5m0NLe1AJ1gTj3HC+cNDbKLn3ddDgAAgBNJG2xs\n",
"Reg328zWIM6ZjAyZs+dLkuzSf8hWVTquCAAAoOslbbCJzNjk0jgA8c+c9impe45UXye7iA5pAAAg\n",
"+SRxsAm1embGBgnAZGYd6pC25O90SAMAAEknaYONDTcPoNUzEoQ54zxvBrKhQfYfT7ouBwAAoEsl\n",
"bbBRRTjYMGODxGDSM2Q+fakkyb6+WHb/x44rAgAA6DpJHGxCS3U4wwYJxMw+S+rTT2pukn3hr67L\n",
"AQAA6DJJGWxsMHhojw3NA5BATGqazAWflyTZN5fI7tnhuCIAAICukZTBRtVVUnOTd02wQYIxp8yR\n",
"+hdKNqjg3/7iuhwAAIAukZzB5vCOUQQbJBgTSFHgoiu8d1b+W3bbJrcFAQAAdIHkDDbh/TUZmTKZ\n",
"2W5rAaJh0gxp8AhJUvC5Rx0XAwAAEH1JGWwiZ3zQ6hkJyhijwPwveu+sXSW7bpXbggAAAKIsKYNN\n",
"pNUzy9CQwMy4SdLYSZKk4FN/kA02O64IAAAgepIz2IRmbExPWj0jsQUu+bJkjLRzq+ybS1yXAwAA\n",
"EDVJGWwiS9GYsUGCM4OGysycJ0myz/9Ztr7OcUUAAADRkZTBJtI8gGCDJGAuukJKz5DKS2Vfft51\n",
"OQAAAFGR3MGG5gFIAia3t8w58yVJ9qVnZcN7zAAAABJI0gUbGwxGmgcYZmyQJMzZ86WevaT6OtmF\n",
"j7kuBwAAwHdJF2xUXSU1h7pD0TwAScJkZslc6B3aaZe9LLtzq9uCAAAAfJZ8wSbcOEBijw2Sipk1\n",
"Txo4WLJBBf/6sKy1rksCAADwTfIFm/D+mowsmcxst7UAXcgEUhS4/KveOx+tkX3nX24LAgAA8FHS\n",
"BZtIq2eWoSEJmVEnykw9VZJkn/y9bF2t44oAAAD8kXTBRpxhgyRnFvynlJEplR+Q/ceTrssBAADw\n",
"RfIFGzqiIcmZvD4yn75MkmQX/022ZJfjigAAADov6sGmoaFBf//73/XVr35Vl112mR544IFo37JN\n",
"LEUDJHPmBVK/gVJzk4JP0EgAAADEv6gGm9dee03XX3+9/vSnP6mioiKat2q/CpaiASYtTYHPXe29\n",
"88G70ntvuS0IAACgk6IabF5//XVVVlZqwoQJmjt3bjRv1X7hYNOTYIPkZsZPkSaeIkle+2caCQAA\n",
"gDgW1WAzc+ZM3X333brppps0atSoaN6qXWwwyB4b4DCBy66W0jOkA3tlFz7muhwAAIAOi2qwOfvs\n",
"szVo0KBo3uL4VFdJzc3eNTM2gEyffjIXXiFJsq+8ILut2HFFAAAAHZNcXdHCjQMkKZfmAYAkmXmf\n",
"kYqGSzao4KP3y4bDPwAAQBxJrmAT3l+TkSWTme22FiBGmJQUBb70dckEpO2bZV9d6LokAACA45ZU\n",
"wcZyOCfQIjN4uMxZF0iS7N8ek91X4rgiAACA45NUwUacYQO0ylzweal3vtRQr+BfHuRsGwAAEFeS\n",
"K9jQEQ1olcnIVOCKa7131q6S/fdrbgsCAAA4DqmuC2hJY2OjGhsbW3zMGKOsrKzItTGm/S982OGc\n",
"x/X3kPDC4yHZx4WZcLLs9NNlly+VfeJhaexJMnl9XZcVlxhT8BtjCn5iPMFPh4+j2traNld9pKWl\n",
"KS0tLSp1xGSwee655/T000+3+FheXp4eeughSVJ+fv5xve7H1VVqkJRTOEQ5/ft3tkwkoIKCAtcl\n",
"OBf85o9Ucv1aNR/Yp9THf6O+P7mfb3ydwJiC3xhT8BPjCX678cYbVVpa2urjCxYs0KWXXhqVe8dk\n",
"sJk/f77OP//8Fh87/AesvXv3qvk4WtM2hTZEV6WkqXrPns4ViYRijFFBQYFKSkrYWyLJfvF66dc/\n",
"Vv2qFdr91z8ocPq5rkuKO4wp+I0xBT8xnuCnQCCgfv36SZLuueeeY87YREtMBpv2TlFZa9v9j9E2\n",
"N0f22KhnHv+I0aLjGVOJzIybLHPq2bLLFiv41O+lMSfJ5DPL2RGMKfiNMQU/MZ7gh8PHUHjLiAvJ\n",
"0zygslwKBr3rXr3d1gLEAXPplV6XtPo6Bf94r2z43w8AAEAMSp5gU37g0HUuwQY4FpOZrcCX/5/3\n",
"zsZ1sq/8zW1BAAAAbUieYFMWCjbdc2SiuLYPSCRm9ASZeZ+RJNln/yS7bZPjigAAAFqWNMHGhoMN\n",
"y9CA42I++yVp4GCpuUnBh38pW1fruiQAAICjdFmwOf300/XEE0/ouuuu66pbHim8FI1laMBxMekZ\n",
"CnzlO1JauvTxLtm//tZ1SQAAAEdJmhkble2XJJlefRwXAsQfM7BI5rKrJUn2jVcVXPFPxxUBAAAc\n",
"KWmCjS0PHRTUK89tIUCcMnPOkSbPkCTZvzwoGzoXCgAAIBYkTbAJz9iIGRugQ4wxCnzp61JeH6m2\n",
"xttv09TouiwAAABJSRJsrLWRPTaGPTZAh5luPRS46luSCUhbNsg+/UfXJQEAAEhKkmCjmoNSQ4N3\n",
"TbABOsWMHCdz0RWSJPvqC+y3AQAAMSE5gk3ZYYdz0u4Z6DTzqYuliadIkuyj98vu2ua4IgAAkOyS\n",
"K9hkZEpZ2W5rARKACQQU+M9vSvn9pYZ6BR+4U7am2nVZAAAgiSVFsLHlhw7nNMa4LQZIECa7mwLX\n",
"/kBKT5f27lbwD/d6+9kAAAAcSIpgE5mxYX8N4CszaIjMF7/uvbN6uew/nnJbEAAASFrJEWzCHdHY\n",
"XwP4LjD9dJm550uS7PN/ln33TccVAQCAZJQUwcYyYwNElbnkSmnMSZKk4P/+Snb7JscVAQCAZJMU\n",
"webQ4ZwEGyAaTGqqAtd8T+o30GsmcP/PZMtLXZcFAACSSHIEm9APWCxFA6LHdOuuwNdvlrK7S2X7\n",
"Ffyfn8k21LsuCwAAJImEDza2oV6qrvLeYSkaEFWmYKACX/uelJIibd0o+8f7ZINB12UBAIAkkPDB\n",
"RqX7Dl3n9XVXB5AkzJiTZC6/RpJk314m+8wf3RYEAACSQvIEm9Q0qUdPt7UASSJw2qdkzp4vSbKL\n",
"n1dw8XOOKwIAAIku4YONPRAKNnl9OZwT6ELm4v+QmX66JMk+9QcFly91Wg8AAEhsCR9sVBrqiNab\n",
"ZWhAVzKBgMx/3CCNnSRJsn+8V3btKsdVAQCARJUEwcabsTF5fRwXAiQfk5qmwLXflwaPkJqbFXzw\n",
"TtktG12XBQAAElDCBxtbemgpGoCuZzKzFPh/P5Ly+0v1dQr++lbZ7ZtdlwUAABJMwgcbEWwA50xO\n",
"rgLfvE3q1UeqOajgPT+S3bXddVkAACCBJHSwscFgZI+NIdgATpm+BQp866dSzzzpYKWCv7pZtmSn\n",
"67IAAECCSOhgo4MVUlOjd02wAZwz/QYo8K2feK3XK8sVvPtm2b17XJcFAAASQGIHmwOHH85J8wAg\n",
"Fpj+hQr81+1Stx5SeamCd98k+/Fu12UBAIA4l9jBJry/pkdPmfQMt7UAiDCDhipw4+1SdjepdL+C\n",
"v/gBe24AAECnJHSwOfxwTgCxxQwe7u256Z4jVZQp+MsfyG7b5LosAAAQpxI62ERmbDicE4hJpmi4\n",
"At+5I9RQoMrbc7PpQ9dlAQCAOJTQwcZGDuck2ACxygwoUuC7d0q986Xaaq8V9LrVrssCAABxJqGD\n",
"TbjVM0vRgNhm8vsr8J07Dx3ied9tCr65xHVZAAAgjiR4sGHGBogXpndfBb53lzR4hNTcLPv7exT8\n",
"x1Oy1rouDQAAxIGEDTa2oV6qqvDeIdgAccHk9FLg2z+Txk+RJNnn/iT72EOywWbHlQEAgFiXsMEm\n",
"0jhAknpzhg0QL0xmlgLX3yQz60xJkl36ooIP3ClbV+O4MgAAEMsSP9ikpknde7qtBcBxMampMv9x\n",
"g8xnLvc+8N5bCt75Xdl9JW4LAwAAMSthg43d/7F30SdfJpCwnyaQsIwxClxwucyVN3q/oNi9XcGf\n",
"fUv2w/ddlwYAAGJQ4v7Evy8cbPq5rQNApwRmnHHorJvqKgXv+ZGCS/7huiwAABBjEjfYhGZsTJ8C\n",
"x4UA6CwzbJQCN93tdUwLBmUfe0jB3/9atr7edWkAACBGJGywiazFZ8YGSAimV28FvnunzCmnSZLs\n",
"m68peOe3ZffsdFwZAACIBQkbbHQgNGPTl2ADJAqTniFz1X/JXPE1KTVV2rVNwZ/9l4Ir/um6NAAA\n",
"4FhCBhtbWyMdrPLeYSkakFCMMQqcfp4C3/+5NyNbXyf7u7sVfPR+2fo61+UBAABHEjLYhPfXSGIp\n",
"GpCgzOARCtxyjzRxuiTJLlus4O3flN2ywXFlAADAhcQMNuH9Nd16yGR3c1sLgKgx2d0VuO4HMpd/\n",
"VUpLl/buVvCu7yr4wl9lm5tdlwcAALpQQgYbu5/GAUCyMMYoMPd8b/amaJjXNW3hYwr+/Ps0FgAA\n",
"IIkkZLA51OqZYAMkC9O/UIEf/ELm3AWSMdLmjxS8/f8p+H9PyjY1uS4PAABEWUIGGxs+nLMvjQOA\n",
"ZGJS0xT47JcU+M6dUv4AqalJ9vk/K/izb8luK3ZdHgAAiKKEDDbau8d7S6tnICmZE8YqcOu9Mude\n",
"LAUC0s4tCt7xbQWf+r3XNREAACSchAs2tqlJCu2xMf0GOa4GgCsmPUOBz/6HAjfdfWjvzeLnFbzl\n",
"WgWXL5G11nWJAADARwkXbLT/YykY9K77DXBbCwDnTNFwBX7wS5lL/lPKzJIqymT/9x4Ff/4D2e2b\n",
"XZcHAAB8knjBZu9u721GltSzl9taAMQEk5qqwNnzFfjJgzLTz/A+WLxOwZ/+l4J/eVC2ssxtgQAA\n",
"oNMSLtjYj0PBpl9/GWPcFgMgppjcPAWuulGB790lFQ6VbFB26YsK/vAaBRc+JlvH/hsAAOJVwgUb\n",
"fbxLkmT6DXRcCIBYZUaMVeDmX8l84TopJ1eqr5N94a9ewHnt77JNja5LBAAAxynhgs2hGRv21wBo\n",
"nQmkKHDapxT42W9kLrzC239TVSH7+G8VvOU6BZctJuAAABBHEi7YiGAD4DiYzCwFzr9MgTt+KzPv\n",
"M1JKqrT/Y9lH71fwpq8puPQfso0EHAAAYl1CBRtbXyeV7ZfEUjQAx8f06KnA576iwE8ekDn1bC/g\n",
"lO6T/ctDCv7wqwq++oL3NQYAAMSkhAo2kYM5Je/UcQA4TqZvgQJf+rq3RO3086TUVKn8gOxfH1bw\n",
"e1cp+NyfZMsPuC4TAAB8QkIFG7t7u3fRo6dMt+5uiwEQ10zvvgpc8TUF7nxY5swLpPQMqbpK9h9P\n",
"Kfj9ryj4v/fIbt/kukwAABCS6roAX+3a5r0dONhtHQAShsntLXPZ1bLnXyb7+mLZ116Qyktlly+R\n",
"Xb5EGjFG5tRzZE6eJZOe4bpcAACSVkIFm/CMjSHYAPCZ6dZD5tyLZc+6QPadN2Rf/pu0fZNUvF62\n",
"eL3sEw/LzJjrhZyBRa7LBQAg6SRUsNHOrd5bgg2AKDGpaTLTT5c95TRp03rZ1xfJvvOGVFMt++oL\n",
"sq++II0Yo8DMeQp++mLX5QIAkDQSJtjYuhrpwF5JzNgAiD5jjDRirMyIsbKXfcVbmvbPl6Q9O6Ti\n",
"9QoWr9eux34jM+FkmVNOl048WSYtzXXZAAAkrIQJNtq1/dD1gEJ3dQBIOqZbd5l5n5Gde7606UPZ\n",
"fy2WffdNqbZG9t03vevsbjJTZslMmSWNOlEmNXG+/AIAEAsS5jtrpCNan34ymdluiwGQlLxZnDEy\n",
"I8ZIV1yr3B3FKn3pedn33/GWqi1bLLtssRdyJkyTmTRdGjdZJoOmAwAAdFbCBBs6ogGIJSY9Q9mz\n",
"z1TF8HEKHqyUXfmG7FvLpA1rvZAT7qqWnu6FmxNPlhk3WSavj+vSAQCISwkTbGyocQD7awDEGtOt\n",
"h8ycT0lzPiVbVSn73grZVculdaukhgZp1XLZVctlJWngYJnxk2XGTfb28LAvBwCAdkmIYGODzdLW\n",
"YkmSGTzCcTUA0DrTI0dm9lnS7LNk62pk17wrrV4hu26VdLBS2rVNdtc22UXPSRmZ0sjxMqNPlBk5\n",
"XiocJpOS4vpTAAAgJiVEsNHuHVJ9rXc9bKTbWgCgnUxmtszU2dLU2d4vaLZtll27UvaDd6XNG6T6\n",
"OmnNO7Jr3vFmczKzpBPGyYwc5wWdouE0IQAAICQhviPazR95F3l9ZHJ7uy0GADrABFKkoSfIDD1B\n",
"Ov9zstUHZdetlj58X3bDGqlkl1RXe2TQSU+XikbIDBspM3SkNHSU93XQGNefDgAAXc73YFNRUaFV\n",
"q1apvLxc+fn5mjx5sjIzM/2+zZFCwcYMHRXd+wBAFzHdukdmcyTJVpTJblgrbVgj+9EH3nk5DQ1S\n",
"8TrZ4nVe0JGknr2koV7QMYXDpMKhUs9ehB0AQMLzLdhYa/Xss8/q6aefVjAYjHw8KytLV155pebM\n",
"mePXrY6+d3jGZhjBBkBiMj17HRl0KsulLRtkN2+Q3fKRtHWjVFsjVZR5e3ZWrzgUdnr0lAqHygwa\n",
"6r0tHCr1G8gyNgBAQvHtu9ojjzyiF198Uf369dOFF16o/Px8bdq0SQsXLtT//M//qKGhQWeeeaZf\n",
"t4uwNdVSyU5JkmF/DYAkYXJypZOmyZw0TZJkg0Hp491eyNmyQXbLRmn3dqmxQaqqkNat9pa2SV7g\n",
"SUmR+vaXCgbJ9B8UelsoFQyUyeIsMABA/PEl2Lz77rt68cUXlZeXp5/+9KfKycmRJJ144omaPHmy\n",
"fvjDH+oPf/iDxo4dqwEDBvhxy0M2fShZK6WkSkXD/X1tAIgTJhCQ+odCysx5kiTb3Czt3S27fbO0\n",
"c6vsDu+tKsqk5mbvl0IlO2W9vHNohie3t9RvgEzfAqlPPym/v0yfAqlvP6lbD5a1AQBiki/B5rHH\n",
"HpMkXXLJJZFQE1ZUVKRPf/rTev755/Xkk0/qm9/8ph+3jLBr3/Uuho+WSef0bgAIMykpUv9Cbybm\n",
"lNMiH7eVZdKenbJ7QsFmzw4v5JTu955QfkAqPyD70ZpDfyd8kZXthZ2+BTJ5+V6zgl69pV59pF69\n",
"pZ55tKQGADjR6WCzfft27dixQxkZGZo9e3aLz5k3b56ef/55rVy5UnV1db42E7BrV0mSzPjJvr0m\n",
"ACQyk9NLyuklM+rEIz5u62qkkl1e4Nm3R9r3sez+EmlfiTfLI3n7eHZskXZsiYQde8SLB6SeuaGg\n",
"Ewo9OblSTq63fC78p0cuh48CAHzV6WCzfv16SdLIkSOVnp7e4nPy8/OVn5+vvXv3asuWLRozZkxn\n",
"bytJsh/vPrS/ZvwUX14TAJKVycyWhpwgM+SEox6z9XXS/r3S/hLZfV7YsaX7pbL93gxPOPjYoFRe\n",
"6v3ZsuGI0GM/+aJZ3UJBp6cXdHJype45Urfu3pK3bt2lbO9aoWsaHgAAWtPp7xA7duyQ5C05a0th\n",
"YaH27t2rHTt2+BdsVi/3LgoGSoOG+PKaAICjmYxMaWCRNLBILe2wsU2NXpgpOyBbtl8qOyCV7Zct\n",
"OyBVlnt/qsq9GZ+w2mrvz8e7vNf45Gu2VEhmVijshAJPVrYXyDKzvGVykess7+NZofczs6Ws0Nu0\n",
"dPYJAUAC6nSwKS8vlyT16dOnzef17dtXklRZWdnZW0bYt16XJJmpc/gmBQAOmdQ0b+9Nn34tBp8w\n",
"29ggVVZEwo6tLPO6toXfrz4oVVdJNeG31Ue+QF2t96d036HXbO1erRYbkNIzvANO0zMO/cnIkNIz\n",
"pfQMb8/mEX/SQ49nSKlpUmqa9zmnpUXeV2qalJb6ifcPXbP3CACiq9PBpq6uTpKOuW8m/HhtbW1n\n",
"bxkRSEn1OvfMO9/rCAR0UDgYBwIBWdvqj0NAuzGmWpGRKfXN9DqstYO1QW+Wp7ZaqqnxAk9NaKan\n",
"plqqDwWd+jrZurrIteprQ4/VeR3g2tJQ7/056MPn1xYTkNJSpJQ0KTXVe5sS8FpvB1KkQMB7m3L4\n",
"dap3neJ9vDQ7S2pokgmkeH83EPq7LV2bgGSM9/cjb0PXR3w8JfTWSAq9HzDec8NvzSfeP+rj4Y+F\n",
"3vc+Ye99GckodO29G3nM6NDzw88NPz/y9z7x/Mj1Ya+vVp5/xL0P/3uRQpL2F6N8jYKfAjHyc3in\n",
"g017vyCE/9G05/mNjY1qbGxs9X5ZWVmSpIJ7/9TOKoH26devfT9sAe3FmAIQy/gaBb/V1ta2GZbT\n",
"0tKUFqXmMZ0ONuGZmPDMTWvaO7MjSc8995yefvrpFh8bNmyY7rrrruOsEgAAAEC03Xbbbdq8eXOr\n",
"jy9YsECXXnppVO7d6WCTm5srSdq/f3+bzws/Hn5+W+bPn6/zzz+/1cfLy8t111136dZbb43M3gCd\n",
"UVtbqxtvvFH33HMPYwq+YEzBb4wp+InxBL/V1tbqtttu03e+8502x1S0ZmskH4JNuBva1q1b23ze\n",
"tm3bjnh+W9ozRbV582bWhMI31lqVlpYypuAbxhT8xpiCnxhP8Ju1Vps3b1ZWVpays7Od1NDpnT5j\n",
"x46VJG3cuLHVxgC7d+/W/v37lZmZqSFDhnT2lgAAAABwhE4Hm4EDB2rIkCFqaGjQ0qVLW3zO4sWL\n",
"JUlTp05t9RBPAAAAAOgoX3qzXX755ZKkZ599VmVlZUc8tmnTJi1atEipqalasGCBH7cDAAAAgCN0\n",
"eo+NJE2cOFHnnnuuXnzxRd18882aP3++8vPzVVxcrIULFyoYDOqqq65SQUGBH7cDAAAAgCP4Emwk\n",
"6ctf/rJ69OihZ555Rg8//HDk41lZWbr++us1Z84cv24FAAAAAEfwLdhI0sUXX6wzzzxTq1atUkVF\n",
"hfr27avJkye36+waAAAAAOiolB//+Mc/9vMFw53PRo8ercLCQqWm+pqdIgKBgMaNG6eUlJSovD6S\n",
"D2MKfmNMwW+MKfiJ8QS/uR5TxtLAHAAAAECc86UrGgAAAAC4RLABAAAAEPcINgAAAADiHsEGAAAA\n",
"QNwj2AAAAACIewQbAAAAAHGPYAMAAAAg7kXn9MzjVFFRoVWrVqm8vFz5+fmaPHmyMjMzO/WaxcXF\n",
"2rBhg4LBoIYPH64xY8b4VC3igd9jau/evVq7dq3KysqUmpqqvn37aty4ccrJyfGxasSyaHydQnKL\n",
"xpgKBoP64IMPtH37djU3N6t///6aOHGi0tPTfaoasczvMdXQ0KD3339fe/bskbVWAwYM0IQJExhP\n",
"6JCu+NncabCx1urZZ5/V008/rWAwGPl4VlaWrrzySs2ZM+e4X7O0tFT333+/1q5de8THhw0bpm98\n",
"4xsqKCjodN2IXX6PqaamJv3ud7/TkiVLjnosNTVVF198sT772c92um7Ermh8nWrJ0qVL9eCDD0qS\n",
"nnjiCV9eE7EpWmNq3bp1euCBB7Rv374jPp6Tk6MbbrhBEyZM6FTdiF3RGFOrV6/Wfffdp+rq6iM+\n",
"3qNHD1111VWaMWNGp+tGbGpoaNDixYu1cOFCVVRU6LTTTtN1113X4dfryp/NU3784x//2LdXO06P\n",
"PPKI/va3vyk/P19XXHGFzj33XA0cOFAbNmzQG2+8oV69emnYsGHtfr3Kykrdeuut2rJli0455RR9\n",
"/vOf16xZsxQIBPTee+9p+fLlmj59urp16xbFzwou+T2mHnnkEb3yyivq37+/Pve5z+m8887TxIkT\n",
"FQwGtXPnTq1du1aFhYUaNGhQFD8ruOT3mGrJ7t279fOf/1zNzc2SpEsuucSP0hGjojGmPvjgA91x\n",
"xx06ePCgZs2apQULFuiMM85QZmam1q9fr5UrV+qcc85RWlpalD4ruOT3mPrwww91xx13qL6+Xief\n",
"fLIuv/xynXLKKWpubtaWLVu0YsUKjRkzRvn5+VH8rODCa6+9pv/+7//W22+/rfr6eknSkCFDNHXq\n",
"1A69Xlf/bO4s2Lz77rv64x//qLy8PN15550aM2aM+vXrp9GjR2vSpElaunSpVq1apRkzZqhHjx7t\n",
"es37779fH330kebNm6evf/3rGjBggAYMGBD5x7h69Wpt3bpVp59+enQ/OTjh95hqaGjQPffcI0n6\n",
"xS9+oXHjxqlfv34qKirSzJkzVVVVpU2bNqm0tFRz586N9qcHB6LxdeqTGhoa9LOf/UylpaWRjxFs\n",
"Elc0xtTBgwd12223qba2VldddZU+//nPa9CgQSooKNCUKVO0detWVVVVacyYMerTp08PWUI2AAAK\n",
"8ElEQVSUP0N0tWiMqXvvvVf79+/XWWedpRtuuEEDBw5UYWGhZs6cqfLycm3evFl79uzhe18CeuSR\n",
"R7Rr1y5NmDBB48aN05YtWzoVbLr6Z3NnzQMee+wxSd438E/uUygqKtKnP/1pNTU16cknn2zX623e\n",
"vFlvvfWWMjMz9YUvfOGoxy+55BL16dNH69at0+rVqzv/CSDm+D2mAoGAfvSjH+mnP/2pevXqddTj\n",
"4X+E27Zt61zhiFl+j6mWPProo9q+fbvOOeecTtWK+BCNMbVw4UJVVlZq9OjROvvss496/Dvf+Y4e\n",
"fPBBjRo1qnPFIyb5Paaam5u1ceNGSdJFF1101OPhjxUXFx+x7A2JYebMmbr77rt10003dfprhouf\n",
"zZ0Em+3bt2vHjh3KyMjQ7NmzW3zOvHnzJEkrV65UXV3dMV/zX//6lyTplFNOUXZ29lGPp6Sk6LTT\n",
"TjviuUgc0RhTqampGjVqlIYPH97i442NjZLE0o4EFY0x9UnLly/Xyy+/rCFDhuiLX/xip+pF7IvG\n",
"mLLWatmyZZKks846y79iEReiMaaam5tlrZXk7dH5pPDHrLUEmwR09tln+7a83sXP5k6Czfr16yVJ\n",
"I0eObLWzRn5+vvLz89XQ0KAtW7a0+zXb2hwZfuyjjz463pIR46Ixpo7ljTfekCQNHjy406+F2BPt\n",
"MbV371795je/UWZmpr7xjW8QkJNANMZUSUlJZBkjzQGSTzTGVHp6euQH23ffffeox8O/WS8sLFRq\n",
"akw010WMcvGzuZNgs2PHDkneFGlbCgsLj3h+a6y12rlz5zFfM/zYvn371NDQ0O56Efv8HlPHsnz5\n",
"ci1atEiSdOaZZ3bqtRCbojmmmpqadO+996qmpkZXXnmlBgwY0PFCETeiMaa2b98uSerfvz/t55NQ\n",
"tL5OXXzxxZK8pbLFxcWRj3/44Yf64x//KGMMewHRJlc/mzuJ2uXl5ZJ0zE2Mffv2leR1VGhLXV1d\n",
"5D9GW6+ZnZ2tzMxM1dXVqbKykk2UCcTvMdWWf/7zn3rooYckSXPnztXMmTM7/FqIXdEcU3/9619V\n",
"XFysU089NTINj8QXjTFVVlYmSZFwXFVVpSVLlqi4uFjNzc0aPny4zjzzTEJPgorW16lwg5xHH31U\n",
"t9xyiwYOHKjm5mbt3r1bmZmZ+trXvqZp06Z1rngkNFc/mzsJNuE1nsc6NCr8eG1tbZvPO/zx9rxm\n",
"XV3dMV8T8cXvMdUSa62eeuopPfPMM5Kkz3zmMy1uhkNiiNaYWr16tV544QX1799fX/nKVzpXJOJK\n",
"NMZU+DV79OihtWvX6p577lFVVVXk8XfeeUcvvPCCvvvd73JQdQKK5ve+Pn36qHv37iovLz9ipqd7\n",
"9+7Kzc3tQLVIJq5+NncSbIwx7XpeePPasZ7f3tfr7N9B7PJ7TH1SXV2d7rvvPq1cuVLp6em6+uqr\n",
"+U17govGmCorK9P999+vtLQ0ffOb31RGRkanakR8icaYCm/e/vjjj/Xzn/9cw4cP15e//GUVFBRo\n",
"27ZtevTRR7Vhwwb96le/0r333tviBl7Er2h973vjjTd03333qXv37rr++us1bdo0WWu1cuVKPfLI\n",
"I7rzzjt17bXXcnwGWuXqZ3Mne2zCye1Y3Tna+5uIw7t2+PWaiC9+j6nD1dTU6Pbbb9fKlSuVl5en\n",
"22+/nVCTBPweU9Za3XfffaqqqtIXvvAFDRkyxJc6ET+i8XUq/P1v/fr1Kigo0A9/+EMVFRUpPT1d\n",
"J5xwgm655Rb16dNHlZWVdARNQNEYU1VVVfrtb3+r1NRU3XTTTZozZ44yMzOVlZWl2bNn6+abb1ZK\n",
"SooefvjhyFJI4JNc/WzuJNiEpzD379/f5vPCjx9ryjMjIyPym899+/a1+rzq6mrV1dUpEAiw3jjB\n",
"+D2mDnffffdp06ZNKioq0h133KGhQ4d2vFDEDb/H1L59+7Ru3TpJ0h/+8AdddtllR/0JC78ffj4S\n",
"QzS+Th1+4OL8+fOP6lKVnp4e+a36hg0bjqdcxIFojKmXX35ZdXV1mjVrloYNG3bU44MHD9b06dPV\n",
"1NSkJUuWdKBqJANXP5s7WYoW7oCwdevWNp8XPvjwWN0+jDEqLCxUcXGxtm3b1mr73fDr5efnt9oW\n",
"EfHJ7zEVtnz5cq1atUp5eXn6wQ9+0OJBnUhMfo+pjIwMjR8/vs2p9jVr1kiSTjzxREneWnYkjmh8\n",
"nTr8vInWfumSn58vqXNNUxCbojGmwi2hx40b1+pzRo4cqTfeeOOY90XycvWzuZNgM3bsWEnSxo0b\n",
"VVtb2+IBULt379b+/fuVmZnZriUbY8eOVXFxsVavXq05c+a0+Jxw73U2UCaeaIwpSXrqqackSVdf\n",
"fbXy8vJ8qxexz+8x1bNnT91yyy1tPic8a3PzzTd3rGjEtGh8nSosLFRaWpoaGxvV1NTU4nPC+3D4\n",
"hV7iicaYqq+vl9T2fofwAdXh5wItcfGzuZOlaAMHDtSQIUPU0NCgpUuXtvicxYsXS5KmTp3ari/G\n",
"4RN333rrrRZ/K9XQ0KB//vOfRzwXiSMaY2rDhg3auXOnBg0apClTpvhZLuJANMYUkls0xlRKSoqm\n",
"T58uSfrggw9afM6mTZskiX1dCSgaY6qgoEBS6+NJOnSYYvi5QEtc/GzuJNhI0uWXXy5JevbZZ4/a\n",
"fLZp0yYtWrRIqampWrBgQeTja9eujaw9f+CBB474O4MHD9aMGTPU2NioRx999Kj7Pf744yovL9e4\n",
"ceM0fvz4KHxGcM3vMRU+lKylNcZIDn6PKSAaY+q8885TIBDQM888owMHDhzx2J49e7Rs2TIFAoFW\n",
"f2OK+Ob3mAqfzbZs2TKtWrXqqPutXr1ab7/9tiRpxowZvn4uiD+x9rO5k6VokjRx4kSde+65evHF\n",
"F3XzzTdr/vz5ys/PV3FxsRYuXKhgMKirrrrquH4bcOWVV2rLli1atmyZampqNHfuXEneP87ly5er\n",
"V69euvbaa6P1KcExv8dUdXW1JO+3Vj/5yU/afO6FF16oCRMmdPpzQGyJxtcpJLdojKlhw4bpkksu\n",
"0RNPPKGbbrpJF110kQYNGqTdu3frmWeeUV1dXeQ+SDx+j6nRo0frtNP+f3t3jNJIFMdx/LcGAoJa\n",
"6QW0kRQJeAC3EwJWVlbBUhC8ggewtbOwtrBOY+MBQoKQSq/gYDxAdivTLOyyOFFf8vmUM9M8+Bfz\n",
"nYH3fubh4SGXl5c5ODhIp9NJkjw+Ps7+AO3v72d3d3du62IxfPa7+ZeFTZKcnJxkfX09d3d3ub6+\n",
"nl1fXV3N2dnZH1+X/rW/9cbGRi4uLnJ1dZXBYJDBYDC7t7Ozk/Pz89npuyymumcqSaqqSlVVf33G\n",
"l9DFNY+ZYrnNY6aOjo7SbDZze3ubm5ub2fWVlZUcHh7m+Pi4vgXw7dQ9U6enp2k2m7m/v0+/30+/\n",
"35/dazQa6Xa76fV69S6CIn23d/Mfv95PbfpCk8kkw+Ewk8kkW1tb2dvb+/Be1s/Pz3l6esp0Os32\n",
"9rYNA5bMPGaK5WamqNs8Zurt7S2j0ShVVWVtbS3tdtufmiVS90y9vLxkPB7n9fU1SbK5uZlWq/Vf\n",
"RybAu894N/8WYQMAAPARX7Z5AAAAQF2EDQAAUDxhAwAAFE/YAAAAxRM2AABA8YQNAABQPGEDAAAU\n",
"T9gAAADFEzYAAEDxhA0AAFA8YQMAABRP2AAAAMUTNgAAQPGEDQAAUDxhAwAAFE/YAAAAxRM2AABA\n",
"8YQNAABQvN+10GWeNr37iAAAAABJRU5ErkJggg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x10ef42090>"
]
},
"metadata": {
"image/png": {
"height": 310,
"width": 411
}
},
"output_type": "display_data"
}
],
"source": [
"reward_gamma_shape = 3\n",
"def plot_reward_dist():\n",
" x = np.linspace(0, 1, 1000)\n",
" y = scipy.stats.gamma.pdf(x, reward_gamma_shape, scale=0.05)\n",
" plt.title(u'実験に使う腕の報酬の分布')\n",
" plt.plot(x, y)\n",
" \n",
"plot_reward_dist()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#plt.hist(np.random.gamma(reward_gamma_shape, 0.05, size=10000), bins=100)\n",
"#plt.xlim(0, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 腕の実装\n",
"\n",
"期待報酬に基づいて1 or 0を返すベルヌーイ腕"
]
},
{
"cell_type": "code",
"execution_count": 179,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class MortalArm(object):\n",
" def __init__(self, index, reward):\n",
" self.index = index\n",
" self.reward = reward\n",
" self.is_live = True\n",
" self.is_new = True\n",
" self.pulled_count = 0\n",
" \n",
" def pull(self):\n",
" if not self.is_live:\n",
" raise RuntimeError('Already dead')\n",
" \n",
" self.is_new = False\n",
" self.pulled_count += 1\n",
" return 1 if np.random.random() < self.reward else 0\n",
" \n",
" def die(self):\n",
" self.is_live = False"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"腕全体で生存期間パラメータを持ち、幾何分布に基づいて死ぬ"
]
},
{
"cell_type": "code",
"execution_count": 180,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class MortalArms(object):\n",
" # 報酬の生成関数 F(mu)を作ったのと同じ分布をつかう\n",
" reward_fn = lambda self: max(0, np.random.gamma(reward_gamma_shape, 0.05))\n",
" \n",
" def __init__(self, init_size, lifetime_param):\n",
" self.lifetime_param = lifetime_param \n",
" \n",
" self._arms = []\n",
" self.spawn_arms(init_size)\n",
" \n",
" def update(self):\n",
" dead_count = 0\n",
" for arm in filter(lambda a: a.is_live, self._arms):\n",
" # 生存パラメータpを使って腕を死なせる\n",
" if np.random.random() < self.lifetime_param:\n",
" arm.die()\n",
" dead_count += 1\n",
" \n",
" # 減った分だけ新しく追加\n",
" self.spawn_arms(dead_count)\n",
" \n",
" def spawn_arms(self, num=1):\n",
" for _ in xrange(num):\n",
" index = len(self._arms)\n",
" self._arms.append(MortalArm(index, self.reward_fn()))\n",
" \n",
" @property\n",
" def living_arms(self):\n",
" return filter(lambda a: a.is_live, self._arms)\n",
" \n",
" def select(self, i):\n",
" return self._arms[i]\n",
" \n",
" def select_new_one(self):\n",
" new_arms = filter(lambda a: a.is_new and a.is_live, self._arms)\n",
" if new_arms:\n",
" return new_arms[np.random.randint(len(new_arms))]\n",
" return None"
]
},
{
"cell_type": "code",
"execution_count": 181,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class ThompsonSamplingStrategy(object):\n",
" def __init__(self, alpha, beta, with_stop=False, p=0.01, arms=100):\n",
" self.arms = MortalArms(arms, p)\n",
" self.arm_alpha = defaultdict(int) # Click に相当\n",
" self.arm_beta = defaultdict(int) # IMP - Click に相当\n",
" self.alpha = alpha\n",
" self.beta = beta\n",
" self.with_stop = with_stop\n",
" \n",
" # 実験用\n",
" self.reward_history = []\n",
" \n",
" def pull(self):\n",
" self.arms.update()\n",
" \n",
" theta = []\n",
" for arm in self.arms.living_arms:\n",
" if self.with_stop:\n",
" # alpha, betaが大きくなり分散が小くなりすぎるのを防ぐ\n",
" alpha = int(np.log(self.arm_alpha[arm.index] + 1)) + self.alpha\n",
" beta = int(np.log(self.arm_beta[arm.index] + 1)) + self.beta\n",
" else:\n",
" alpha = self.arm_alpha[arm.index] + self.alpha\n",
" beta = self.arm_beta[arm.index] + self.beta\n",
"\n",
"\n",
" theta.append((arm, np.random.beta(alpha, beta)))\n",
" \n",
" arm, p_max = sorted(theta, key=lambda x:x[1])[-1]\n",
" \n",
" reward = arm.pull()\n",
" if reward == 1:\n",
" self.arm_alpha[arm.index] += 1\n",
" else:\n",
" self.arm_beta[arm.index] += 1\n",
" \n",
" self.reward_history.append(arm.reward)\n",
" return reward"
]
},
{
"cell_type": "code",
"execution_count": 182,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"class UCB1Strategy(object):\n",
" def __init__(self, p=0.01, arms=100, c=1):\n",
" self.arms = MortalArms(arms, p)\n",
" self.pulled_count = defaultdict(int)\n",
" self.reward = defaultdict(int)\n",
" \n",
" # 実験結果確認用\n",
" self.reward_history = []\n",
" \n",
" def select_arm(self):\n",
" arm = self.arms.select_new_one()\n",
" if arm:\n",
" return arm\n",
" \n",
" living_arms = self.arms.living_arms\n",
" \n",
" pull_counts = []\n",
" arm_indexes = []\n",
" for k in filter(lambda i: self.arms.select(i).is_live, self.pulled_count.keys()):\n",
" pull_counts.append(self.pulled_count[k])\n",
" arm_indexes.append(k)\n",
" \n",
" ucb_vals = []\n",
" total_pull = sum(pull_counts)\n",
" for i in arm_indexes:\n",
" bonus = np.sqrt((2 * np.log(total_pull)) / self.pulled_count[i])\n",
" estimate_reward = self.reward[i]/self.pulled_count[i]\n",
" ucb_vals.append(estimate_reward + bonus)\n",
" \n",
" return self.arms.select(arm_indexes[ucb_vals.index(max(ucb_vals))])\n",
" \n",
" def pull(self):\n",
" self.arms.update()\n",
" arm = self.select_arm()\n",
" reward = arm.pull()\n",
" self.pulled_count[arm.index] +=1\n",
" self.reward[arm.index] += reward\n",
" self.reward_history.append(arm.reward)\n",
" return reward"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## テスト"
]
},
{
"cell_type": "code",
"execution_count": 210,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Start Thompson Samplig using alpha: 1, beta: 1\n",
"Start UCB\n"
]
}
],
"source": [
"tests = 10000\n",
"arms = 50\n",
"alpha, beta = (1, 1)\n",
"strategy = ThompsonSamplingStrategy(alpha, beta, p=0.0001, arms=arms)\n",
"print('Start Thompson Samplig using alpha: %i, beta: %i' % (alpha, beta))\n",
"rewards1 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans1 = strategy.reward_history\n",
"\n",
"strategy = UCB1Strategy(p=0.01, arms=arms)\n",
"print('Start UCB')\n",
"rewards2 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans2 = strategy.reward_history\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 211,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11ebdc850>"
]
},
"execution_count": 211,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA4QAAAKTCAYAAABB6sasAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3XdcU9f/P/DXDSAgCoLKUFy4N6J179EWFw7QjxsH1dr6\n",
"raOOqq27dlit2vppta3iQtwFK45acdVRFbUOVBAFFFFkKZskvz/45X4SkkCAYCB5PR8PHoZ7zz33\n",
"3ORK8s45530EuVwuBxEREREREZkciaEbQERERERERIbBgJCIiIiIiMhEMSAkIiIiIiIyUQwIiYiI\n",
"iIiITBQDQiIiIiIiIhPFgJCIiIiIiMhEMSAkIiIiIiIyUQwIiYiIiIiITBQDQiIiIiIiIhPFgJCI\n",
"iIiIiMhEMSAkIiIiIiIyUQwIiYiIiIiITBQDQiIiIiIiIhPFgJCIiIiIiMhEMSAkIiIqg2JjY/H4\n",
"8WOkpKQYuil6kZiYCKlUauhmAABycnIM3QQiojKDASERkREJDw/HuHHjkJGRYeimvHVLly6FRCKB\n",
"RCLBxIkTDd0cjRRt1KV9Xbt2hZubG77//vu30LLiU37e/f39tZZbtGgRXF1dMW/ePDx58kRl3+vX\n",
"r+Hh4YHNmzfr5d49c+YMoqOjNe7LyclBx44d0aVLF2zduhXp6eklPh8RUXnGgJCIyEjs2bMH77zz\n",
"Dnbt2oURI0ZAJpMBAHx9fcUP7EX5sbCwKFF7unXrhmnTpiEkJATZ2dn6uESdCYKgcXtoaGiRn4fz\n",
"58+XqA5NQZJy+7Zt2waJRIJevXoV6VrKGkEQCmxrSEgI4uPjsWbNGjx48EBl37Fjx3Djxg1MmzYN\n",
"Xbt2LfK55XI5rly5gs8//xxNmjRBr1698Nlnn2ksu3z5coSFheHixYv4v//7P8TGxhb5fERExsTc\n",
"0A0gIqKSyczMxKeffopNmzaJ206dOoUrV66gY8eOxa63JIHI8+fPceHCBVy4cAGbN29GYGAgfHx8\n",
"il2foQiCUKLAuLAgKX/Z8kwul2vdd/PmTbHHztnZGX369FHZHxQUJD4eOnRooeeKi4vDrVu3EBYW\n",
"hvPnz+Pvv/9GcnKySpnAwEAsXLgQzZs3F7cdP34cq1evFn+fO3cuLC0t8fjxY5Vj7e3tYWdnV2g7\n",
"iIiMAQNCIqJyLDQ0FB988AEiIiLEbTVq1MCBAwfQoUMHtfKzZ8+Gra2t1vpevXqFjRs3lrhdFy5c\n",
"EB9bW1tjwIABJa5TWWhoKEJDQ9W2KYSFhWHZsmVikCIIAoYMGaJSvmvXrmjQoIFa3XK5HMePH8fz\n",
"588hl8thbq76VlmvXj0sWbJEDOCioqLg7+8PX19fnD59GsnJyZg1a5ZY3t3dvSSXWiIymQy3bt1C\n",
"VFQUEhIS8OrVK0gkElSrVg1NmzZFmzZtYGVlVertOHz4sPh4zJgxkEj+N0ApJycHR48eBQCYmZnB\n",
"19e3wLo2btyITz75ROt+QRDQtm1b+Pj4oGrVquL2sLAweHt7iz3nQN5w16VLl6rVUbt2bezZs6dE\n",
"X6gQEZUXDAiJiMqhlJQUzJs3D1u2bFHZ7u3tjZ9++gkODg5qxwiCgFmzZqFmzZpa642IiNBLQHj2\n",
"7FnxsaenJypWrFjiOpWFhoZi+fLlWvffvHkTN2/eVNlWt25d1K1bV/x9ypQpGD9+vMbjPT098fz5\n",
"cwiCoBYQ1qlTB0uWLFFpi7+/PyZMmIBHjx5BEAR88cUXxbgq/ZDJZDh48CB27NiBs2fPFpiUxtLS\n",
"Ev369cOUKVMwcOBAlUBNnwIDAwHk3YN+fn4q+44cOYKkpCQAec+7q6trgXV9/PHHCAgIwKVLlyAI\n",
"gkrPZO/evbF9+3bUqFFD5Zh///0X/fv3R1pamtgOTRR1RUdHY+zYsXj48GG577klIioM5xASEZVD\n",
"V69eVZmbVrlyZfz888/Yu3evxmAQyPuwW6tWrQLnuzVq1Egv7Ttx4oT4WLnHJzk5GcHBwZgzZw5m\n",
"zJhR7PoVH9IVQzI1fWhX3leUoZsAVIaJ5g8Iy7LAwEA0a9YMI0aMQHBwsMZg0N7eHhKJBIIgICsr\n",
"C0eOHMGQIUPQtGlT7Nmzp8Chn8Vx+fJlhIeHAwB69uypdo9t27YNQN7rNXv27ELrEwQBO3bswM8/\n",
"/4xTp07h4MGD4r7atWurBYOnTp1C165dER8fDwDw8fFBVlYWpFKpyk96ejqaNWsmnuOHH35gMEhE\n",
"JoEBIRFROdSnTx+sWLECADBs2DDcuXNHredFE01BUnGDpszMTKSmpqoFELGxsbh//z6AvGAqLCwM\n",
"I0aMQKNGjeDg4AAvLy+sW7cOV65cKcIVq1qyZAlkMpnKB3rlXjtfX1+1D/zjx4/XOdjJysoSH5eH\n",
"gDAjIwOTJk3CqFGjxIQtdnZ2GDduHAICAlCvXj0Aea9/WFgYMjMzcf36daxcuVLskXv48CFGjx6N\n",
"wYMH482bN8Vqh6bn9+uvvxYff/jhhyr7Xr58iZCQEABAs2bN0LNnT53OU79+ffj5+aFnz56oUqWK\n",
"xjJSqRQrV66Ep6cnXr9+DQDw8/PDokWLNJafMWMG7t69CwCYOnUq3n//fZ3aQkRU3pX9dzkiItLo\n",
"ww8/RIcOHdC9e3dxW1ZWFnr06IH58+erJecQBAGhoaFwcnLSWueTJ0/w3nvv6XR+f39/8QO+paUl\n",
"LCwsIJfLVYKp3NxclUBNmb7T/SsHIyXt5VJuW1EDQn33sBXm9evX6N27N65duwYAqFatGhYvXozJ\n",
"kyfDxsYGaWlpGDNmDADAwcEBtWvXBgC0bt0arVu3xqeffoqvv/4ay5Ytg0wmwx9//IF+/frh7Nmz\n",
"GhPq+Pr6Yvv27RrbMnHiRHFJjSVLlsDLy0tl/uCIESO0XsedO3c0Dlnt06cPTp48qfU4bV9ijBo1\n",
"Cvv37weQ9xouW7YMHTp0QOfOndGxY0cEBQWJQ5lXrlyJX375BUDenM+1a9dqPR8RkbFhQEhEVE5V\n",
"qlRJJRgEgGXLluHKlSsYPnw41q5di5kzZ6rsd3NzK3AOYVHmkCnmYwF5gahyIKhM8YG9atWqcHd3\n",
"R4cOHdC+fXuNSW90sX37do0BSVRUlPj4xIkT6Nu3r1o7Fi9erLXeixcvYty4cZBKpSpr2FlaWqqV\n",
"1RQUKS8bofw8bt26FXfu3EGVKlXE5+LIkSOoWbOmOJQSAO7evYsuXbogICBADNoKk5OTg+HDh4vB\n",
"4IABA7B161ZUq1ZNLHP9+nUxkUq7du3U6qhQoQI+//xzuLu7Y9iwYZBKpbh8+TIWLlyIb7/9Vq28\n",
"Lr3IijLaln4oisLOp+2LgA0bNiA8PByvXr1CQEAAunbtilatWiE9PR1//fUXhgwZgsOHD+Ozzz4T\n",
"583Wrl0bQUFBbyXRDhFRWcGAkIjISFy8eBHffPMNgLwekW7duqnsV8wh1FVhPV1Vq1ZF27ZtYWFh\n",
"ASsrK1SsWBE5OTlib46trS1++uknNGjQAA0bNtRbGv9Hjx7hr7/+KrBMXFwc4uLiVLYVFhB26tQJ\n",
"Dg4OuHr1qritTZs2hSY5KYgimAkKCoKTkxN69+4NAEhMTIRMJlO5joyMDFy8eBFHjhzB9OnTdap/\n",
"8eLF+PPPPwEAgwcPxoEDB2BmZqZSRvl6CgrCBw0ahOXLl4tDKtevX48ZM2aoBaddu3ZVCdLCwsLE\n",
"BD7KmVtfvnyJ48ePqxy7Zs0alWD13Llz+PXXXwEACxYsQJMmTdTalX9O4LZt2zBp0iSN1+Dv7y/O\n",
"re3RowfOnj2L7OxsODo6AsibT9ivXz/cvn0bf/75J1xdXcXlKtq2bYvg4GA4OztrfY6IiIwRA0Ii\n",
"IiOQlJSE0aNHiz1Bn332Gdq2bQtANQGLruRyeaHlJ0yYgAkTJqhs++GHH8SAsH///vjPf/4DIG8+\n",
"18WLFxEeHo6oqCg8ffoUL1++RGpqKtLT05GWlob09HRkZWVBEARIJBLY2Nio9KAp1KtXDz169IAg\n",
"CMjIyMCVK1fQtm1bVKpUSaXcnTt38PLlSwB5H/YrV65c6HW7ubnh6dOnaNiwIXr16oWPPvqowPIe\n",
"Hh5o2bIl/P39MXXqVBw/fhzJycn49NNPVYLPly9f4p133hF/79y5M86fP4/Tp0+jTZs2APKGcP77\n",
"7784deqUTgFhREQEvv/+ewB5QdOOHTvUgkFANSDs1KlTgXUq1rN8+vQpcnNzsW7dOqxbt06lzOTJ\n",
"kzF58mTx92XLlokBoSJza25urnhdCoIgwNvbWyXAlMlk+PXXXyEIAt5//321Hu+SEARBbX6hk5MT\n",
"9u7di3bt2iE9PR3JyckQBAEjR47Er7/+Cmtra72dn4iovGBASERUzslkMowZMwZPnjwBALRv315l\n",
"3t66deuwatWqItdbnAyLAQEB4mPlOYy5ubno3r07pFKpznUp9yQpUwSi9+7dw3vvvQe5XI7+/fur\n",
"rSfXsmVLvHz5EpUqVcK5c+dgZWWlslahph7QPXv26Nw+AGjVqhXef/99+Pv7Y+bMmbh37x4AYOHC\n",
"hWJAmJaWhqSkJJWextatWyMiIgJ///23GDiZmZmhc+fOOHfunE7nXrZsGXJycgAAX375pcaAVy6X\n",
"i9dsbm6Ozp07F1inhYUFJk+eLC7pcerUqULboel5/OWXX3Dnzp1Cjy2Oxo0bY/LkySrrQCra2ahR\n",
"IzGobNy4scpx165dwy+//ILt27cjIyMDAFC9enX88MMP8PHxKZW2EhGVBwwIiYjKucWLF+PYsWPi\n",
"7z/99JPKHLYqVapozcSoT9HR0bh48SIAwMrKCv379xf3WVpaonHjxmIWR+Vg08bGBnZ2djA3N4dU\n",
"KkVubi7S09Nha2tb4Pnq1KkjZsP84YcfsGDBAnHuV3x8vBiQDB48WOOcsM2bNxeYrEQul6NXr16Y\n",
"MmVKgWWeP38OQHMAK5fLxayftWrVEstWqFAB77zzDk6ePCkGyYIgoHPnzggJCRGP0SY7Oxu///47\n",
"AMDR0RGjRo3SWO7KlSvi0Fl3d3edekl79+4tBoT37t1Denp6kdeRfPfdd+Hi4oK4uDj07t1bHBob\n",
"ExOjsjB8QkICgLznKS4uDo8fP1apx9bWVm0ZlU6dOqn0dE6fPl0MCDt37ozNmzcDyHuOTp06hRMn\n",
"TuDQoUOIiIgQj7G2tsb06dOxYMECzJgxAzt27MDq1avRvHnzIl0nEZExYEBIRFSO/fbbb/jqq6/E\n",
"3wVBED9AF5QNsqhiY2PV5nLlp9y71qdPH9jY2KjsnzFjBlJTU9G4cWPUqlULNWrUQNWqVYu9rEPF\n",
"ihUxbtw4bNy4EYmJidizZ4+45qHy3DzFsNX8Ll68KAawBV2TmZmZmDlTk7t378Lc3Fzr+o+K4ZSK\n",
"4ahAXkDYvHlzBAcH49GjR2JZxTDfS5cuFdiu06dPi8Gwp6enxmygAHDo0CHxcb9+/QqsU6Fhw4bi\n",
"Y5lMJg6h1cWFCxdw5MgRBAUFYfz48bCzs0OlSpXw119/QS6Xq81rVaYpqJ08eTK2bNmi9ZisrCyV\n",
"+y4kJAQ3btyAu7s70tLSMGPGDJVhx05OTvjggw8wY8YMVKtWDdOmTROPP3PmDMLDw+Hi4qLTtRIR\n",
"GQuuQ0hEVE4dOXIEU6dO1bpfX4tq61qP8gfz0aNHq+2fOnUq5s6di8GDB6NNmzZwcnIq8Rp/48eP\n",
"B5DXI6m8VIQi0UqVKlW0LqNRq1YtlSCuWbNmcHd3h7u7u5h8Ry6Xixk8tTl58iSqV68uruOo3AMG\n",
"5C3MbmZmhk6dOomZWK2srFC/fn0AUAkI3d3dxWMKet4VPa1AwfMClZd8GDBgQIHXoVC1alXxsVwu\n",
"x6tXr7SWlcvlYi8fAGzZsgX79+9HdnY2XF1d8e2336oNKS1ozUvl7bqsi3nw4EExKQyQ1zPcvXt3\n",
"/P7777C3t0dwcDDs7e3h6emJwMBAxMTEYNmyZahatSpmzpwp9iZKJBLs3LlTLRjUljmXiMiYsIeQ\n",
"iKgcOnXqFHx8fAqckzdlyhSVpRAKI5fLMXv2bCQlJQHIm3tob28PAOK/2oSHh+PGjRsA8ob55V8D\n",
"UZ9CQ0MRGhoKQRAgl8tRsWJFjBw5Ei9fvhTnER49ehRA3hyxL7/8UkySo7zw+YoVKxAZGYkVK1ZA\n",
"EARs374dHh4eAPLW0FuxYgUAFLhY+u3btxEVFQUvLy8AecNYz5w5o5I4ZfDgwahduzbs7OzEuWuV\n",
"K1dGhw4dsHjxYpWAydnZGdOmTcOwYcPwxx9/aD2vcgZVbT1a4eHh4tBTZ2fnQucPKuTm5qr8nn/Z\n",
"DblcjkuXLuHgwYPYs2eP2OupYGtri4kTJ2rMBLpnzx6VLJ4hISHiwvXff/+9GBAXdm2KdmiaG/vm\n",
"zRsMGzYMs2bNwqpVqxAfH6/yxUN2djYmTJiAwMBAcZtMJhNfw/xGjhyJ//73v29l2DURkSEwICQi\n",
"KofOnTsn9l7Url0bTZs2VUvx36VLF3Tp0qVI9S5atAhJSUkQBAE+Pj6FDhNV2LFjh/h4+PDhpbqO\n",
"W2hoqDjHTWHr1q0ayz58+BDLli0Tf1cO7uRyOVq0aCE+joqKEgPC69evA8jrOSooqFb0HirmS372\n",
"2We4efOmmFxGsU/Rk5mamgogb4H4Fi1aoEWLFti2bZtKnZs2bdJ6PgVF0A5ALbuqgvJQS23DZjWJ\n",
"j48XHwuCoDY30sPDQxwGm98HH3yANWvWaGyTIAjo2LGjSrCs6B0VBAHu7u5FyjK6b98+lZ5SIC8p\n",
"Tk5ODuRyOQ4dOoQVK1aoBLSvXr2Cj4+PSnIhbb2QikA9MDAQjRs3VktaRERkLBgQEhGVQ0uXLsWf\n",
"f/6JO3fuICgoCGvXrhX3KTJLKn/o1dXr16/FOr777jsxCYkgCJg9e7bWTJa7du0Sf1cEP6VF2zIa\n",
"moYmFlaPcsB89epVDB8+HFKpVMz02apVK5UhlPnZ2tpCKpVi5MiRAPIyW4aFhQFQXZxeQbEMRmE9\n",
"roVRDrgUQaaytLQ0/Pbbb2I7pk2bpnPdivYDedeXf+3K9u3b4+bNmxAEATVq1ICTk5MYQHfu3Flr\n",
"gKpPqampmDNnjtr2ESNGIDs7G/v27cNXX32lsozEvn378Mknn4iJffr27Yt169ZpnH959uxZfPDB\n",
"BwCAmjVrYu7cuaV0JUREhseAkIionFq8eDEqVqyIVq1aqe3T1ItWVPnXn/Pz89MYEJ4/fx7R0dEA\n",
"8hKn9OjRo0TnLcySJUtUltVQWLZsmdgbuHTpUnzxxRdqZfIHyTVq1EDTpk1x7949nDx5EqtXr8a5\n",
"c+fEIOv9998vsC3Dhg3DzJkzC82IqhATEwNA+5IaulIeSnn//n21/T///DNSUlIAAAMHDkSjRo10\n",
"rluRvRTIW2g+v2HDhiEyMhLTp0+Hl5cXVq5cKQaEhdG0RIUu+/KbNWuWOFTVzMxMHDptYWEhDv0d\n",
"Pnw4gLzh1UuWLMHff/8NIO+LgJkzZ+Kbb77RuG5jRkYGvvvuO7HsDz/8oJYgiYjImDCpDBFROVXQ\n",
"Qt75E3Po+pO/joISgCjs3LlTfJw/yc3du3dx8+ZNlWGIpaUoAYUyReAQFhaG8PBwcQinIAgYPHhw\n",
"oefUFJBrkpOTg4cPH0IQhBIvb6AY2goAJ06cUNmXnp6ONWvWAMi7hgULFuhcb3R0tMrcOk1DTd97\n",
"7z38+eefGDZsGMzMzHR+3uVyOerVqweJRCL+KOYZKpb4UN4nkUjg5+enVs+WLVtUhgjPmDFDZb8g\n",
"CJg/fz4yMjLQsWNH9OvXTwwG7e3tcfDgQYwYMQJ+fn5IS0tTq3/KlClikD1u3DitcwuJiIwFA0Ii\n",
"IiMjCAKWLFkCmUwGqVQq/pw4cULld00/ijmDgiAgJiZG4z5lr169EgNCS0tLtUQiq1atQps2beDi\n",
"4oInT56U/sX/f0UJDseNGyceM2PGDOzevRtAXtbRjh07Fnisv7+/WhCj+Mnv1q1byM3NRa1atUqc\n",
"oKRTp05ir9Xp06dx69Ytcd/q1avFYZFeXl6FXoNCdnY2xo8fj+zsbABA3bp1xaGwhpL/i4icnByV\n",
"uXyDBw/WGrDZ2Nhgzpw5kEgkMDMzw+TJk3H//n0kJyejW7du2LZtG7p27aqSoGfmzJkICAgAADRt\n",
"2hQ//vij/i+KiKiM4ZBRIiITsHz5cixduhRjx47Ff//7X52GwOkSVG3atEnMnOnt7a02304xJE8Q\n",
"BDHQ0IeePXvi7NmzWvcrDx9V2Lp1K+rWratWtmHDhujRowfOnDkjLnAOAAsXLtSpLYUlJVFQrHnY\n",
"unVrneotiI2NDUaOHInffvsNcrkckyZNQnBwMC5duoTVq1cDyFt8/ZtvvtGpPrlcDj8/P5Xn9Ouv\n",
"vy7xsiD5zZw5UyUYDgsLE4eo+vr6qr0+yj2hQN6QUH9/f7z//vuwtrbGhg0bVJbtyM/HxwdZWVlw\n",
"d3cXEwh17doVzs7OiI2Nxc2bN9GrVy8cO3YMixYtEoPBatWq4fDhwxwqSkQmgQEhEZGRi4qKEhev\n",
"37lzJ65evYqgoCA0aNCgwOMKS8qSlZUl9qAIgoAPP/xQrYyTkxOAvIDj6tWrOi9wXpiirrFY2LDX\n",
"+fPn48yZM+LvLVu21LhQen7e3t7i8ExliuGRyhTBZv4gp7g+//xzBAQEICMjA9evX0fNmjVV9q9Y\n",
"saLQ1xgAnjx5gkmTJuH06dPitvHjx8PHx0cv7VRQzN1TzjLq7++P33//HYIgwNfXV6cso3379sXC\n",
"hQtRqVIl1K5du8CAEADGjh2r8nv9+vVx8uRJdOrUCcnJyXjw4AEaN26MnJwcAHkZYI8dO6a3e5WI\n",
"qKxjQEhEZOTq1auHixcvYuDAgXj69CnCw8MxdOhQ3Lp1q0SL12/fvh0vXrwAkNfrpWmdu27duokJ\n",
"OpYtWwZPT0+9rOe2YMECTJw4UfxdLpfj8OHDYm/TkCFDMGTIEJVjunTpIiZ1ya9JkybikgWK+l6+\n",
"fInq1asX2A5FUFKYhIQE/PHHHxAEQa1dxVWnTh2sXbtWYyA+cuRIzJ49u8Djo6Oj8dtvv2Ht2rV4\n",
"8+aNuN3Lywu//vqrXtpYmOLO+9SUMKgoGjdujF9++QXe3t4AIL7uTZo0QXBwMOrXr1+i+omIyhOT\n",
"CghTUlIQFhaG5ORkODo6wsPDo1TXyiIiKitat26N8+fPo1+/fkhMTMSePXtKFAxKpVJxQXEAGpcA\n",
"AIBBgwbB3d0dN27cwIMHD9CgQQN4eXmhd+/eaN68OVxcXGBnZ4cKFSoAADIzM5GUlITnz5/j6dOn\n",
"ePz4MSZOnKiW3fS9995TO1dUVJQYELq7u2tc/kJTQPj48WP07NlTDAqAvAXnO3fujKNHjxbYU/Tw\n",
"4UP4+/sXmj1zx44dyM3NRePGjfUyZFRh6tSpMDMzw9y5c5GSkiIGnNu3b1crm56ejgsXLiA0NBTH\n",
"jx9Xywxqbm6O+fPnY8WKFXprX376yjJakqGsr169woYNG7BhwwaV7e+++y727t2rc8ZYIiJjYRIB\n",
"oVwux8GDB7F//37IZDJxu7W1NSZNmlSkhXCXLl2qsuBwQXr06IHp06cXub1ERKWhTp06OH36NOLi\n",
"4sQsl1KpFMeOHQMA5ObmiksVyOVyjSn5FQIDA8Wheq6urloXPhcEAQcOHECXLl3w/PlzJCYmYuvW\n",
"rVoXktfE29tb43IXJSWXy7F371589NFHePXqFYC84Zy3b99GdnY2IiMj4e7ujjlz5mDOnDmws7NT\n",
"q+PChQu4cOFCgefJycnB+vXrAQCjR49W229mZib+FMeUKVMwZswY3L17F/b29nBzc9NYLigoSOP5\n",
"gbwkNZs2bSpWsKpYuxIoeCivpmG0yvt69eqlcZ+ZmZlKsF4ciYmJOH36NPbv349Dhw6pzGd1dnbG\n",
"l19+CV9f3xKdg4iovDKJgNDf3x8hISFwcnKCl5cXHB0dERkZiaCgIPz444/Izs5G3759darLzc2t\n",
"0G8mX7x4gfj4eL1PxiciKqmaNWuqzDUzMzPDzp07VZYaAPIWJFfM/8tPLpeLcxKBvLT/BQUz9erV\n",
"w/Xr17FkyRLs2rUL6enpOre3JL2Yhblx44YYqAF5Q0pPnDiBv//+Gz4+PkhOTkZGRgZWrlyJyMhI\n",
"7Nq1q0htVPR47dixA9HR0bC0tFRblgPIy3KqyHRaXNbW1mjbtm2BZf7zn//gq6++EjOSCoKAzp07\n",
"45NPPhGHTupq+PDhOHTokNr2wobYFkdx7gGZTIY1a9bgxo0buH79Oh48eKBWxsbGBh9//DEWL17M\n",
"5DFEZNKMPmK5fv06QkJC4ODggJUrV4pDQVq2bAkPDw8sXLgQW7duRbNmzTSmVM9P0xAkZdnZ2Zgz\n",
"Zw7Mzc0LXdBYVzk5OTh06BCGDh0KCwsLvdRJpo33lPEqzpysefPmqQSE9erVw8aNG7WWl8lkmD59\n",
"OtauXYv4+HhMmjQJe/fuLfB+cnZ2xs8//4zvv/8eoaGhuHz5MiIjI/Hs2TMkJycjPT0dOTk5MDc3\n",
"h52dHapWrYrq1aujevXqpdI7COQNK1VkF+3duzcOHToEa2tr9OnTB1euXIG3tzdu3bqFdu3aiWsT\n",
"5ufr64vffvtN4z6JRAJBECCVSlGhQgX4+PjA0dGxVK5FV3PmzMHBgwfRu3dveHl56TT/UZMpU6ao\n",
"BYSVKlVCu3btCjwuf5ZRbaRSKe7du4emTZsW62+URCKBTCbDnj171LZ36tQJo0ePxpgxYzg81ITw\n",
"fY/0zZjuKaMPCBXrSfn4+Kj94a9duzYGDBiAw4cPY+/evZg5c2aJz7dr1y68ePECY8aMKfYbbX45\n",
"OTnYv38/Bg4cWO5vOCobeE8ZH+WF6IuqUaNGGDlyJNq2bYuePXsW+qHezMwM06ZNw9SpU3H37l1Y\n",
"W1vrfD9ZW1vD09MTnp6eRW5nYXR5DpTLCIKApUuXYt++fdiwYYPK2oENGjTA5cuXsWDBAnh6eqpd\n",
"l7e3Nxo1alTgEMtz585BEAQ0bNgQ4eHhRQ4+CsuMWhz66I0EgM6dO4ttMzc3R4cOHbBo0SJUq1ZN\n",
"razyc54/y6g26enp8PX1xfz581GxYsUCy2p73efPn499+/bh/v376NmzJwYOHIghQ4bA2dlZp2sk\n",
"48L3PdJVfE5KAAAgAElEQVQ3Y7qnjDogjI6ORkxMDCwtLdG1a1eNZfr06YPDhw/j2rVryMzMLFGS\n",
"mfDwcBw7dgzNmjXD4MGDi10PEVFRFXVenjIbGxtx/bWiEAQBzZs3L9IQ0NK0ZMkSLFmypMAyPXr0\n",
"UJlLrtimiaWlJdatW6dx38CBAzFw4MACz9WlSxfxcXGGUkZFRRX5mLfFzs4OwcHBqFGjBpo2bQpL\n",
"S0utZXV5XUpC02sK5N2fISEhsLOzK7B9RESmzqgDQkXyl0aNGokZ7PJzdHSEo6MjXrx4gaioKDRt\n",
"2rRY58rJycHPP/+MChUqYNq0acVuMxERUXnQv39/QzehUIYeoktEVB5ICi9SfinSixc2PKVWrVoq\n",
"5YvjwIEDePbsGQYNGqQ1EQMREREREVFZYtQBYXJyMgBonNOgTDGUJzU1tVjnefr0KYKCguDg4KC3\n",
"BYeJiIiIiIhKm1EHhJmZmQBQ6LxAxf6MjIxinefXX3+FVCrFyJEjtQ5NJSIiIiIiKmuMOiDUNTub\n",
"Ik17cbK5Xbp0CXfu3IGLi4vWxAQlJQgC3NzcSnU9LjItgiDAwcGB9xTpBe8n0jfeU6RvvKdI3xSf\n",
"z42BUSeVUfT8KXoKtdG1JzE/qVQqLlQ8ZMiQYv+RycnJQU5OjsZ9giDA2tpaZRFoopKytrbGTz/9\n",
"ZOhmkJHg/UT6xnuK9I33FOmb4vO5YoqaNhYWFmV+WQqjDggVi98mJCQUWE6xX5fFcpVduHABL168\n",
"QJUqVbQua6GLQ4cOYf/+/Rr3ubm5MRgkIiIiIiqDvvrqKzx69Ejrfm9vb4wYMeIttqjojDogVGQX\n",
"ffz4cYHlnjx5olJeV6dOnQIA9OrVC+bmxX8qhw4dqnU9K+Vex4SEBEil0mKfh0hBEARxuRXFkGmi\n",
"4uL9RPrGe4r0jfcU6ZNEIhGTUi5ZsqTAe6qs9w4CRh4QNmvWDADw8OFDZGRkwNraWq3Ms2fPkJCQ\n",
"ACsrK9StW1fnutPT03H//n0AKFHvIKB7V7JUKmVASHqh+KJBKpXyjZFKjPcT6RvvKdI33lOkT8r3\n",
"kKb4orwx6qQyNWvWRN26dZGdnY3Q0FCNZU6cOAEAeOedd4qUITQiIgJyuRy2trZwdXXVR3OJiIiI\n",
"iIjeKqMOCAFg1KhRAICDBw8iKSlJZV9kZCSOHz8Oc3NzeHt7i9vv3LmDkSNHYuTIkdi0aZPGeuPj\n",
"4wEUfZgpERERERFRWWHUQ0YBwN3dHZ6enggJCcHixYsxdOhQODo6IiIiAkFBQZDJZJg8eTKcnZ2L\n",
"VG9aWhoAoHLlyqXRbCIiIiIiolJn9AEhAPj6+qJy5co4cOAAtmzZIm63trbGRx99hO7du6uU12X5\n",
"iNzcXADgQvRERERERFRuCXITmlmbkpKCsLAwpKSkoHr16vDw8Cjy2oOGFB8fz6QypBeCIMDFxQVx\n",
"cXGcXE8lxvuJ9I33FOkb7ynSJ4lEUuTRhWWZSfQQKtjZ2aFnz56GbgYREREREVGZYPRJZYiIiIiI\n",
"iEgzBoREREREREQmigEhERERERGRiTKpOYREROWZLhmQDUHRrrLaPip/yss9xeQkRGQMGBASEZUD\n",
"igx5ZZkxZVyjsqGs31PMWElExoABIRFROfL8+XN+ACUyMEEQynywSkSkKwaERETliFwuZ0BIRERE\n",
"esOkMkRERERERCaKASEREREREZGJYkBIRERERERkohgQEhERERERmSgGhERERERERCaKASERERER\n",
"EZGJYkBIRERERERkohgQEhERERERmSgGhERERCUQExMDV1dXuLq6Yu/evYZuDhERUZGYG7oBRERE\n",
"hjJz5kzs37+/2Mf7+Phgzpw5AABBECAIgr6aRkRE9FYwICQiIpNlbm4Oc3PNb4W5ubkq5bQdryCX\n",
"y/XbOCIioreAASEREZmsNWvWYM2aNRr3eXt749KlS6hVqxYuXryotY6YmJjSah4REVGp4xxCIiIi\n",
"IiIiE8WAkIiIiIiIyEQxICQiItKz4OBgeHt7o3nz5qhfvz769OmDdevWISsrS+sxMpkMhw8fxvjx\n",
"4+Hu7o66deuiRYsW8Pb2xrZt25CTk6PxuO+++07McgoAz58/x/z589G+fXu4ubmhXbt2+Pjjj/Hw\n",
"4UPxmMTERKxYsQKdO3eGm5sbOnfujNWrVyM9PV2t/g4dOsDV1RUffPABAODhw4eYO3cuOnbsKB77\n",
"xRdfICEhQeu15ebmwt/fH0OHDkXTpk1Rp04dNG/eHEOGDMH27dsLnH8ZGxuLpUuXonfv3mjcuDHq\n",
"16+PLl26YN68eQgPD9d6nOI5Wbt2LQDg7NmzGDduHFq1agU3Nzd07doVK1asQEpKitY6iIhMgSDn\n",
"LPhyIz4+HlKp1NDNICMgCAJcXFwQFxfHRBjlBF+zt68ocwg7deoEQRDw3Xff4erVq9i9e7dKxlHF\n",
"a9axY0fs3bsXEonq97GvXr3ClClT8M8//wCAxmMbNmyIbdu2oU6dOirHfvfdd1i3bh0EQcD58+cx\n",
"bNgwxMfHi3Uojre3t0dISAhycnIwatQoxMbGqpXx8PDA4cOHVdrXoUMHPH36FAMGDICXlxemT5+O\n",
"3NxcjfXv2rULrVq1UmlfSkoKJkyYgKtXr2q9tqFDh2Ljxo1qz21gYCA+++wzZGdnqxyrOE4ikWDO\n",
"nDn45JNP1I51dXWFIAiYNWsWzMzM8O2332qso0GDBjh69CgqVqyoVoc2/P9Y/vA1I32SSCRwdnY2\n",
"dDP0hj2EREREeiCXy+Hv74/du3fD19cXFy9eRFRUFEJCQtCxY0cAwKVLlxAcHKxyXE5ODiZMmIB/\n",
"/vkHgiBgwoQJOHPmDKKjo3H58mXMmjUL5ubmePjwIUaPHo3Xr19rPf/MmTPx5s0bfPXVV7h//z7u\n",
"3LmDSZMmAQCSkpKwePFi+Pn5ITMzE//9738RGRmJq1evYuDAgQCA69ev4/Tp0xrrj4+Px+zZs9Gy\n",
"ZUsEBQXhyZMnuH37NtatW4dq1aohKSkJEydOVOtxmzdvHq5evQoLCwssXLgQV69exZMnT3Dp0iV8\n",
"+OGHAIDDhw/j/PnzKscdP34cc+bMQXZ2NurUqYPNmzfj/v37ePToEQICAtC8eXPIZDJ8++232Lp1\n",
"q9bn5NSpU/j2228xcOBAhIaG4vHjxzh9+jQ8PT0BABEREVqPJyIyBQwIiYiI9OTmzZuYMmUKVq5c\n",
"CVdXV5ibm6NFixbYtm0brKysAAAnT55UOWbXrl24ceMGAGDRokVYtWoV3NzcIAgCatSogTlz5oi9\n",
"Z0+ePMH69eu1nv/atWvYvHkzxo4di4oVK8LW1hbLly9H3bp1AQB//vknHj9+jN27d2PQoEGoUKEC\n",
"nJyc8MMPP8DBwQEAtPaGXr16FW5ubti3bx88PDwgkUhgZ2cHHx8f7Nq1C+bm5oiPj8fmzZvFY968\n",
"eYOjR48CAD744ANMnz4dTk5OkEgkqFmzJhYtWoSvv/4aq1evRvXq1cXjsrOzsXDhQgBAnTp1EBwc\n",
"jP79+6NixYqwsLBAt27dcPjwYbi7uwMAVq1ahcTERK2viaenJ3766Sc0aNAAZmZmaNCgAX766SfU\n",
"rFkTAHDixAmtzykRkbFjQEhEZELkUinkiQll96ecD4uvWrUqFi1apLa9UqVKaNmyJQAgMjJSZd+O\n",
"HTsAAC1btsS0adM01jto0CC8//77AICAgACtQ96GDx+OHj16qG1v166d+Hj69Olo1qyZyn5zc3Nx\n",
"W3R0tMa6BUHAl19+KQa2ypo3b45+/foBAA4ePKhyjKKt2uZAjhkzBmPHjkXjxo3FbSdPnkR8fDwA\n",
"YMmSJWKwqsza2hrffPMNACAzMxP79+/XWH+FChWwevVqte1mZmZo3749APXXhIjIlHAdQiIiU5KS\n",
"BNn8SYZuhVaSr38DHKoZuhnF9u6778LCwkLjPkdHRwBQGfKZlJSE+/fvA8gL+goyaNAgHDt2DKmp\n",
"qbh79y6aN2+uVmb48OEaj61WLe85FQRBaxl7e3sAeb16mri4uIg9cpp06tQJISEhiI2NRWJiIhwc\n",
"HGBjY4MePXrgzJkz+OWXX/D69WuMHj0abdq0KfBaL1++DACwsbERA01NmjVrBjc3Nzx69AiXL18W\n",
"E98oa9++vXj9+Tk5OQHQfs1ERKaAPYRERER60qhRI637FD1rysnBnj17Jj5u0KBBgXUr9svlcpXj\n",
"FARBUOv5y3/uihUrqiWlUahQoQIA7T15hbVPkeUUyMt0qrB27Vo0adIEMpkMAQEBGDRoEN555x3M\n",
"nTsXx48f13i+p0+fAgDq1aunkoRGk4YNGwKAxucEKPprQkRkathDSERkSuzs83rhyio7e0O3oERs\n",
"bW217tMU2CiWeRAEATY2NgXWrZwFMy0tTWOZKlWqFHjuorZPWWHts7a2Fh8rL1/h5OSEkJAQBAQE\n",
"YPv27bh//z7i4uIQEBCAgIAAODo64osvvsCQIUPEYxTXV9g5gf89L9p6+ezs7LQeW9g1ExGZAgaE\n",
"REQmRDAzK9dDMsu6/MtJFKZSpUoA8nr9tGUPVVAOeCpXrlys85ubF/9tX9MahcoyMjLEx/kDOQsL\n",
"C4wfPx7jx49HREQE/vjjD/z+++948OABXrx4gY8//hgODg7o3r07gP9dX2pqaqHtUjxv2oLdor4m\n",
"RESmhn8liYiIDKRWrVowMzMDANy5c6fAsnfv3gWQ16ulyBr6NikvbK+JcmIWRfZOTRo0aIBPPvkE\n",
"f/31F3bs2CEO29yyZYtYpl69egCAR48eISsrq8DzKp4XQzwnRETGgAEhERGRgVSqVAkeHh4A8tbi\n",
"k8lkWssqsmg6OTmhfv36b6V9yp49e4bbt29r3X/s2DEAeQFfQUNTlfXq1UvMihobGytu79atGwAg\n",
"KytLbd1GZRcvXhTnDnbp0kWncxIRkSoGhERERAbk5+cHAIiKisJXX32lsYy/v7+4PuDEiRPfWtvy\n",
"W7ZsmcYELIcPH8a1a9cAAN7e3uL2HTt2wN3dHZ06dUJubq7acYmJiQgLCwOgmrSmW7duaNKkCQBg\n",
"5cqVYpIZZUlJSViwYAGAvAypQ4cOLcGVERGZLgaEREREBtS/f38xmNm0aRNmzZqFiIgISKVSPH36\n",
"FCtXrsTixYsB5K33p2lphbehTZs2uHv3LsaMGYN///0Xubm5SEhIwA8//IBZs2YByFtEftKk/y1r\n",
"0rFjRyQlJSEmJga+vr64ceMGMjIykJSUhD/++APDhw/HixcvIAiCWqC7fv16WFtbIyEhAV5eXvj9\n",
"99+RlpaGrKwsnD59GkOHDkVkZCQEQcCqVatUktoQEZHumFSGiIjIwNauXQsAOHToEPbt24d9+/ap\n",
"lWndujX8/f21rnNY2mrUqIHZs2fDz88Pnp6eavtdXV2xc+dOlcCsYcOGWL58OT7//HOEhoYiNDRU\n",
"7TiJRILPPvsMnTt3VtnevHlz7Nq1C5MnT8bz58/x0UcfqR1rYWGB5cuXY/DgwSW/QCIiE8WAkIiI\n",
"SIuiLEtQWNmC9ltYWGDjxo3w9vbGzp07cf36dSQlJcHGxgbNmjXD0KFDMWLECI0ZM3Vpo65lCivX\n",
"q1cvHDlyBGvXrsU///yD169fo1atWhgwYAA+/PBDjctETJgwAW3btsWvv/6KK1euiGsUVqtWDR4e\n",
"HvD19UWHDh00nq99+/Y4d+4cfvnlF5w8eRJPnjxBbm4unJ2d0b17d/j5+YkJaIpz3Vx2gogIEORy\n",
"udzQjSDdxMfHc/Fc0gtBEODi4oK4uDjwT0D5wNeMDKVDhw54+vQpBgwYgJ9//tnQzSkT+P+x/OFr\n",
"RvokkUjg7Oxs6GboDecQEhERERERmSgGhERERERERCaKASEREREREZGJYkBIRERERERkohgQEhER\n",
"kVa6ZB8lIqLyi8tOEBERkVaXLl0ydBOIiKgUsYeQiIiIiIjIRDEgJCIiIiIiMlEMCImIiIiIiEwU\n",
"A0IiIiIiIiITxYCQiIiIiIjIRDEgJCIiIiIiMlEMCImIiIiIiEwUA0IiIiIiIiITxYCQiIiIiIjI\n",
"RJkbugFvU0pKCsLCwpCcnAxHR0d4eHjAysqqRHXKZDLcvn0b0dHRkEqlcHFxgbu7OypUqKCnVhMR\n",
"EREREZUOkwgI5XI5Dh48iP3790Mmk4nbra2tMWnSJHTv3r1Y9d69exebNm3Cy5cvVbbb2tpixowZ\n",
"aNWqVYnaTYaVLZXBZ88DAMCa9+ugYVVrA7eIiIiIiEi/TCIg9Pf3R0hICJycnODl5QVHR0dERkYi\n",
"KCgIP/74I7Kzs9G3b98i1Xn79m2sXr0aubm56NKlC9q3bw8rKyv8888/+PPPP7Fu3Tps2rQJ1tYM\n",
"Isqr4PAk8fGnx57g9zFNDNgaIiIiIiL9M/qA8Pr16wgJCYGDgwNWrlwJW1tbAEDLli3h4eGBhQsX\n",
"YuvWrWjWrBlq1KihU51v3rzB+vXrkZubi8mTJ+Pdd98V97m7uyM5ORmPHj1CdHQ0GjduXCrXRaXv\n",
"ZVqOoZtAROWUXC7HrVu3cO/ePSQkJMDc3BxOTk5o06YN6tata+jmERERiYw+INy9ezcAwMfHRwwG\n",
"FWrXro0BAwbg8OHD2Lt3L2bOnKlTnUFBQUhNTUWTJk1UgkGFuXPnlrzhRERU6r777jusW7cOALBv\n",
"3z506tSpwPJ///03RowYAQC4fPkyatasqbJfKpVi165dWL9+PeLj4zXW0bFjR3z99deoX7++ynZX\n",
"V1eN5SUSCSwtLWFra4uaNWuif//+8PX1LfEceCIiIsDIA8Lo6GjExMTA0tISXbt21VimT58+OHz4\n",
"MK5du4bMzMxC32DlcjnOnTsHAOjXr5/e20xERG+fIAgQBKFI5fN78+YN/Pz8xPeI6tWro1u3bnB1\n",
"dUVWVhYeP36M06dP49KlSxg6dChOnDgBZ2dnjfWbm//v7VkmkyEzMxMZGRmIj4/H9evXcfToUQQG\n",
"BnJaAhERlZhRB4T37t0DADRq1Ehr1k9HR0c4OjrixYsXiIqKQtOmTQus8/nz50hMTAQAJo0hIjIS\n",
"crm8RMdLpVL4+vri0qVLkEgk+PTTT/Hhhx/CwsJCpdzz588xZMgQxMbG4ssvv8SGDRvU6urUqRP2\n",
"7dunsi0pKQn//PMPli1bhidPnuD69evw9/fHtGnTStRuIiIio16HMCYmBkDe0NCC1KpVS6V8QaKj\n",
"owEALi4uakNQiYjINK1fvx6XLl0CACxcuBD/93//pxYMAoCzszOmT58OADh69ChycnSbq2xvb493\n",
"330X/v7+Yu/hn3/+qafWExGRKTPqHsLk5GQAQLVq1QosV716dQBAampqoXUmJeVlnlQkoHn9+jVO\n",
"nz6NiIgISKVS1K9fH3379mWwSERkItLS0rBlyxYAQIMGDfDBBx8UWN7T0xN2dnYQBAFSqVRj4KhN\n",
"gwYN0KBBA4SHh+PVq1clajcRERFg5AFhZmYmABQ6L1CxPyMjQ+c6K1eujDt37mDdunV4/fq1uP/q\n",
"1asIDg7GvHnzCh1+SkRE5V9wcLD4PjB69GhIJAUPvqlevTq8vLxKfF5dM2MTEREVxKiHjOqaIEAx\n",
"d0SX8oqF7ePj4/HNN9+gdu3a+Pbbb7Fjxw6sXLkSjRo1Qnp6OtauXYv09PTiN56IiMqFy5cvA8h7\n",
"D9GUeVqfnj59ivv37wMAevbsWarnIiIi02DUPYSKnj9Fr542uvYkAhAzut27dw9169bFwoULxfkc\n",
"DRs2xOeff45Zs2YhISEB58+f1+nDQU5OjtZ5JIIgiOcsahY8Kpn8z7UxPfeKazGmazJ2fK3Krn//\n",
"/RdA3siR0lxjMDs7G3PnzoVcLkedOnUwduzYUjsX6Yb/L8sPvu+RPinfRxkZGQUmJrOwsCjS1ABD\n",
"MOqAsEqVKgCAhISEAssp9ivKF6Ry5cri46FDh6qkBgeAChUqoGfPnti/fz8ePHigU0B46NAh7N+/\n",
"X+M+BwcH/PTTTwDyMqLS22NjkwogSfzdxcXFcI0pJdpS3hOR7hTvIfr6G6H8wUImk+HFixc4f/48\n",
"Nm3ahAcPHsDFxQW7d+/mkhNlAP+Glj98zUjfZs2aJa5AoIm3t7e4fm1ZZdQBoSK76OPHjwss9+TJ\n",
"E5XyBVFeOLhevXoayygCN12S1AB5geXAgQM17lP+BuLFixeQSqU61Ukll5amOuQ3Li7OQC3RP0EQ\n",
"4OzsjOfPn5c43T69HYrXrKSkMjmSMnP10KLSYW9lDjNJ+foGX/G3XvkLw5K4dOmS+H6kmKag0KtX\n",
"L/z4449MXFZG8G9o+cH3PdIniUQCJycnAMC6desK7SEs64w6IGzWrBkA4OHDh8jIyND4beqzZ8+Q\n",
"kJAAKysrnYb61KpVCxYWFsjJyUFuruYPVYo3cG1rH+ana1eyXC7nH7G3SvW5NsbnnveU6UnKzMXk\n",
"Q5GGboZWvw6tj2oVy/6bpyb6/L+Uf2674vfTp09j8ODBmDFjBoYPH66381Hx8G9o+cPXjPRB+R4y\n",
"htEaRp1UpmbNmqhbty6ys7MRGhqqscyJEycAAO+8845OAZyZmRk6duwIALh9+7bGMpGReR+2SnMu\n",
"CRERlQ2K3jrljNMl0alTJ8TExCAmJgYPHz7ExYsXsXXrVowaNQqWlpaIiIjAJ598onFReyIioqIy\n",
"6h5CABg1ahRWr16NgwcPomPHjrC3txf3RUZG4vjx4zA3N4e3t7e4/c6dO1i+fDkAoEePHuIiwgr9\n",
"+/fHhQsXcODAAbRr1w5Vq1YV98XFxeHcuXOQSCTo3r17KV8dEVHR2FuZ49eh9Q3dDK3srcr225Km\n",
"kSHVq1dHQkICnj17pvfzWVlZwdXVFa6urujXrx+mTJkCHx8fJCYmYu3atRg8eDC/fCQiohIp2++8\n",
"euDu7g5PT0+EhIRg8eLFGDp0KBwdHREREYGgoCDIZDJMnjy5SHNz3Nzc4OPjg8DAQCxatAhDhgyB\n",
"q6srnj17hgMHDiAzM1M8DxFRWWImEcrtkMzSYGZmJj7OP19PE+Ws1Yqh/q1bt8a9e/eQlpaGyMhI\n",
"1K9fegF348aNMW/ePCxYsAC5ubkIDg7GjBkzSu18RERk/Iw+IAQAX19fVK5cGQcOHMCWLVvE7dbW\n",
"1vjoo4/UevJ0SUk8bNgwVKhQAYGBgdi6dau4XSKRYODAgfjPf/6jvwsgIqJSUbFiRfHxmzdvCi0f\n",
"Hx8vPraxsQEAdOjQAXv27IFcLsexY8fw0Ucf6b+hSt555x3x8dOnT0v1XEREZPxMIiAEgOHDh6Nv\n",
"374ICwtDSkoKqlevDg8PD41rDzZr1gyBgYGF1jlw4EB0794dN27cQGJiIipVqoRWrVqxZ5CIqJyo\n",
"VauW+DgqKqrQ8uHh4QDyvlBUBIQDBw7E0qVLkZKSgl27dsHPz6/AOenR0dE4evQoAGDChAlFTkiQ\n",
"lZUlPlZkuSMiIiouo04qk5+dnR169uwJLy8vdO7cWaeF6Atja2uL7t27Y8iQIejbty+DQSNSvhLf\n",
"E1FxtG3bFhJJ3lvhgQMHCsw+KJPJcOrUKQBAq1atxO3W1taYOnUqgLxgb82aNQWe8+jRo1i5ciXW\n",
"rFlTrHTku3fvBpA3moVz1YmIqKRMKiAkIiJS5ujoiAEDBgAA7t69i9mzZyMtLU2tXFZWFhYuXIjY\n",
"2FgIgoCxY8eq7P/444/FDNSbNm3CqlWrVOYbKty5cwcbN24EAAwePBjm5roN1Hn9+jUuX76MqVOn\n",
"YufOnQCAPn36oG3btrpfLBERkQaCnIuxlBvx8fFcmP4t2vzPc/zxIFn8/fcxTQzYGv0SBAEuLi6I\n",
"i4vjekzlBF+z0vPq1SuMGDEC9+/fB5DX49ezZ0/Url0bVlZWiIuLw5kzZxAfHw9BEDBu3Dh8+eWX\n",
"avWkpaVhypQpOHfuHADA3t4evXv3Rs2aNfHmzRvcv38fFy5cAADUqVMHwcHBcHBwEI93dXUVHyt6\n",
"LQH1ddMUPYO//PKLUax/VR6Vh/+Pfocj8CItF+v710Vd+5KPiCrvysNrRuWHRCIpUkLKss5k5hAS\n",
"FRXfLohMQ9WqVXHkyBH8/PPPCAwMRGxsLEJCQlTKCIKAOnXqYO7cuRgyZIjGemxsbLBr1y7s3LkT\n",
"GzZsQHx8PA4cOKBSRiKRoH///li1apVKMKh8HkB10WOJRAJra2s4OTmhRYsW8Pb2Rq9evUp62WTE\n",
"snJleJGWt0TKJ0cfG9UXmkSkfwwIiYjI5FlbW2PmzJmYOXMmbt26haioKLx48QJZWVlwcHBAixYt\n",
"VOYNaiORSDB+/HiMHz8eN2/eRHh4OBISEmBhYQEXFxd06NBB61zz2NhYfV8WmSgpe8CIqAgYEBIR\n",
"ESlp1aqVTsFfYVq3bo3WrVvroUVERESlh0lliIiIiIhMRMSrTHx85BGepWYbuilURjAgJCIiIiIy\n",
"EXOOPUZMSjY+DH5k6KZQGcGAkIiIiIiIyEQxICQiIiIiIjJRDAiJiIiIiIhMFANCIiIiIiIiE8WA\n",
"kIiIiIiIyEQxICQiIiIiIjJRDAiJiIiIiIhMFANCIi3kckO3gIiIiIiodDEgJCIiIiIiMlEMCIm0\n",
"EARDt4CIiIiIqHQxICQiIiIiIjJRDAiJiIiIiIhMlLmhG0BERLoTOJaZyOD4/5CIjAkDQiKicsTZ\n",
"2dnQTSCiIrj3Ih0LTkZjrWdd1HewMnRziIjUMCAkIioH5HI54uLiDN0MjQRBgLOzM54/fw4512sh\n",
"PVDcU/MOXMOV2DcAgIARjQzcKnW63O8LTkYDAGaHPMbvY5qUdpOIiIqMAWE58yw1GycikpEllaGV\n",
"kw061a5s6CYZLX6upbKmrAdbcrm8zLeRypesXBnSsqUAyv79X5YI4JBWItIdA8JyZlZIFDJz894U\n",
"jz5I5reNREREpEIOBs9EpDtmGS1nFMEgERERERFRSTEgJCIiIiIiMlEMCImIiIiIiEwUA0IiIiIi\n",
"IiITxYCQiIiIiIhIB7KgAMjmTTJ0M/SKASERERERUT6pmbk4EZGMmJQsQzeFygj5g9uQBwcYuhl6\n",
"xzbYXd4AACAASURBVGUniIiIiIjyGXcgQny8w7shbC3NDNgaKgvkkfcN3YRSwR5CIiIiIqICPEvN\n",
"NnQTiEoNA0IiIiIiIyJAMHQTiKgcYUBIREREZETkkBu6CURUjjAgJCKjkS2VIeDWS7xMyym0bGxK\n",
"FqKZKICIiIhMHJPKEJHRGLX3IXJlcuz59xV+H9NEa7k32VJ8dCQKALB9eAPYWfFPIZGpksvlSM+R\n",
"QQ7AxkICQeBwSyIyLfwURERGI1em2zCp56//14MYk5LNgJDIhH3/dxxCH6cCAAY1tseUdk4GbhER\n",
"0dvFIaNERERkshTBIAAE308yYEuIiAyDASEREREREZGJYkBIREREBhObmoU/7ieJQ76zcmXYc+sl\n",
"UjMLTw5FREQlx4kzREREZBC5Mjk+Cs5L8HTt2Rt80asWRgQ+AADsvnUOnWpVNmTziERcyoOMGXsI\n",
"iYiIyCAyc2Ti42vP0gzYEiIi08WAkIiIiMiICODSGUSkOwaEREREVCZxSUAiotLHgJCIiIjIiHC+\n",
"GxEVBQNCIiIiIiIiE8WAkIiIiIiIyEQxICTSggNuiIiIyga5XI7olCxxvUoi0h+uQ0hERKUuJiUL\n",
"Hx/JW2/u9zFNDNwaIipvPj4ShdjUbAD8G0Kkb+whJCKTo5xwgUkM3w5FMAgAj5MyDdgSIiqPFMEg\n",
"EekfA0IiLRgoEJWON9mywgsRAZBzdCARUaljQEhERERERGSiTGoOYUpKCsLCwpCcnAxHR0d4eHjA\n",
"ysrK0M2iQnjtCgcAbB/eAHZWJnXL0lvADggiMjYCx7gQURGYxKdruVyOgwcPYv/+/ZDJ/jdUydra\n",
"GpMmTUL37t2LVN+LFy8wY8aMAsv07dsXfn5+xWov/U9sapb4eOHJaPw4yM2ArSFjwQ9LRERERHlM\n",
"IiD09/dHSEgInJyc4OXlBUdHR0RGRiIoKAg//vgjsrOz0bdv3yLXa2NjAzc3zQGKq6trSZtNAHKk\n",
"/+u/iX+TY8CWEBERlQ9yjn0goiIw+oDw+vXrCAkJgYODA1auXAlbW1sAQMuWLeHh4YGFCxdi69at\n",
"aNasGWrUqFGkuuvUqYPFixeXRrOpDODbKREREREZO6NPKrN7924AgI+PjxgMKtSuXRsDBgxAbm4u\n",
"9u7da4jmERERERERGYxRB4TR0dGIiYmBpaUlunbtqrFMnz59AADXrl1DZibXxiIiInprOJ2XiMjg\n",
"jDogvHfvHgCgUaNGqFChgsYyjo6OcHR0RHZ2NqKiojSWIdPEzylEREREZOyMOiCMiYkBkDc0tCC1\n",
"atVSKU9ERERF8/u9RHjtCseOGy8N3RQi/WNiATJiRp1UJjk5GQBQrVq1AstVr14dAJCamlqk+u/e\n",
"vYtRo0bBysoKjo6OaNiwIXr37q018ygREZGx+u36CwDA/juvMKJFVVia6/CdMz9kExEZnFEHhIo5\n",
"gYUtPq/Yn5GRoVO9lpaWaNGiBQAgKysLiYmJePz4MR4/foyTJ09i0KBBGDt2bAlaTgpypQ8LAsdw\n",
"EhkF/lc2fozzDItrrRJRURh1QCjoGEHI/3/UoWt5Ozs7fP755yrbkpKScOLECRw6dAjBwcGoUaMG\n",
"evfuXbQGE9Fbx49NVJ5lS2XIypXDpoIEEn5rRkRExWDUAaGi56+w7KG69iQWxN7eHiNHjoQgCDhw\n",
"4AAOHTqkc0CYk5ODnBzNi64LggBra2vxsab9xiz/9b3V6813KmN6rhXXYkzXlF+B16a8S/h/7J15\n",
"fFTV+f8/M9n3PSQEIYAEiKCYImpla6W2WKtVUUTtT6v22691r1vdilbtQluprah8XdBaKSCEgtaw\n",
"uODCJoY1BALZQ/aZ7Jl95v7+GDKZ5c7MnZm7z/N+vZTMveee89xzz/ac85znaFSdD2IQcnmiPOcF\n",
"i92BG9adAgBcWJiC5y4PvF9eTDQcv3HQNl4T4J5ACJmOVO+gtvoWzvtE3O+ptN1S4zsJiUbjawFh\n",
"NBpdi0tsxMXFIS4uTljBIkTVCmFmZiYAQKfTBQw3cn8kfCRceeWV2LRpE7q6utDb24usrKygz2ze\n",
"vBkbN25kvZednY3XX38dgNMjqjeFhYWRCSxzBrSDAJzeXzUajajvm5w0AKDP9VuNeV1QUCC1CDxz\n",
"wvVXoO/VqxkA0AgAyMnJRmFh8HpKBCdweRr9NpTn/LC/scf196H2YRm0UaPfuGBMAZLiY4I+MWCy\n",
"Ajjl+u18h9F4EhMSAQy63ROCEx6/+E+HW7vEJwaLDUCN6OkKCz/5GFq/N5pmbk4OCgsjHyfKA/HL\n",
"pFoYSEtDv9e1hx56CD09PazhAWDJkiW48cYbhRUsQlStEI54F21sbAwYrqmpySN8JKSmpiIjIwP9\n",
"/f0YHBzkpBBee+21uOqqq1jvuc/cdHV1+dxvb28PX1gFoOsZXd1lGEbU9x02DHv8VlNeazQaFBQU\n",
"oKOjI+CslpIJ9L10+tH9wnp9D9pj6QzSSAi1POn1espzHtD3DHn8llMb1dHZgUQOTmWGzHaP397v\n",
"YDKb/N4TCiHTEesdDNbA+ap0wnmfSPs9nV6P9hhuviaUhNrKhtA4Bgd9rq1cuTLoCqHcUbVCWFpa\n",
"CgA4ffo0jEajy/TSnba2Nuh0OiQmJqK4uJiXdM1mMwAgOTmZU3iuS8lshU2tg/kRvN9PyvdVY14z\n",
"DKPK9wICfy+PeyrOA7HhWp4YRp31SXS8slBOecq9LARp45kA9wRCyHSkegc5lQ0+iOR9wu73VNpX\n",
"qPGdhIQtu9j0C6Wh6nMIi4qKUFxcDIvFgl27drGG2bFjBwDgoosu8nt4vTsWiwXNzc2sq3UAUFtb\n",
"C5PJhPT09KDHXRAEQRCEGqExJkEQhHJQtUIIAMuWLQMAlJeXo7e31+NeXV0dtm/fjtjYWCxZssR1\n",
"/fjx41i6dCmWLl2KV1991eMZvV6PRx99FE899ZTPMRV2ux3vv/8+AGD+/PlCvA5BEDxD41aCIAiC\n",
"IKIZVZuMAsCsWbOwePFiVFRU4Omnn8a1116L/Px81NbWYuvWrXA4HLjzzjs5bzIuLCzErFmzcPjw\n",
"YTzxxBNYvHgxCgsLMTAwgIqKCtTW1iIrKwvXXXedwG9GEES40BldRDTQb7KhvteM6XlJ2Fnbh2l5\n",
"SZiSo3zTJoIgCIJfVK8QAsDtt9+OtLQ0bNq0CW+88YbrelJSEu655x6f1bxgLngffPBBrFq1CgcO\n",
"HMDbb7/tcW/ChAl46KGHkJKSwt8LEARBEESI/P6LVpzUeVqyvHPduchKioqunyAIguBI1PQK119/\n",
"PRYtWoRDhw6hv78feXl5KCsrYz17sLS0FOvXr/cbV1JSEh555BG0trbi5MmTGBgYQGJiIiZOnIhp\n",
"06YJ+RoEQRAEwQlvZRAAmvvNoiiEdLQZQRCEcogahRAAMjIysHDhQt7iKyoqQlFREW/xEfKCnCIQ\n",
"hDAIrSsc7zRgXZUOv5w9BuMyEgROjRASaoYJgiCER/VOZQiCIIjo4slPmnG0w4B7PmqQWhQiGLSS\n",
"SBAEITmkEBIEQRAEQRAEQUQppBAShB9oD0x0QJ+ZIPiHTO7Vj8XuwJYTPWjoNUktCkEQEUIKIUEQ\n",
"BEEoENK5CCFxMAxOdhthsNpxotsAq92zxK0/psfbB7vw4MeNPs9WdxnwSV0fGLeZAYvdgW2ne9E6\n",
"YBFadIIgQiSqnMoQyoZWcgi+YGgoTRAEEZANVXr8+6jO9fuy8Wl4bN6oI71D7UOszzEMgyd2NgMA\n",
"MhNjMbsoFYBTgdx4XA8A2HILeWQnCDlBK4SEYiATToIgiMggU06CK+7KIADsbh4MOY6T3aNHn+xr\n",
"Cf15OUFVh1AztEJIEARBEIQskXoe0GRz4K+72zA2LR5NfWb8YHIGLpuQLrFUBEEQ/EIKIUH4gWbS\n",
"CYIgBEbm7Wx5tR7fnBk1jTzUPowtpBASBKEyyGSUIAiCEBWZ6wCqRizTe7WY+PcYbFKLQBAEITik\n",
"EBKEBKw/psMLu1pgtTukFoUgCEK20OQBQRCE8JDJKEFIwNqzm/W3ne7DT6ZlSywNQYiLShaPJEfO\n",
"+Ugm94Q3VCQ8aek3496PGly/501IwyNziwI8QRDCQSuEhGIQe4AhhsnToMUufCJEQGiQQhAEQYiN\n",
"uzIIAF81KdsLK6FsaIWQIKKAWr0JG4/rYbU7cM30bFxQmCq1SJKikfXaCkEQhHKhSTZCbfSbbDjQ\n",
"OoQJmQloNWfgu9AgRmqheIYUQkIxqMVJgRQ8vK3R9fe3bcPYeut06YQhCEIyyJQzOpDLd6Z+m1AD\n",
"v/20BY195rO/xsEw9mJcaa6XVCa+IZNRgiAIgiAIFmSiVxEEISGjyqCTAznqm1SnFUKFwzAMNDQF\n",
"JwhymWElCIIgCIJQE89/3oJv24YBAOXLpiJGS2NZKaEVQoIgohrqggilooo5K6qABBGVjCiDAHCo\n",
"fThASEIMSCEkCCLqYNQxlCYIgiAIxWN1UJ8sNaQQEgRBEESUQDsMCIIgCG9IISQIgiAIgiB4gfbf\n",
"E4TyIIWQkDWe/QpNbRMEQUQX0moX1Ov4J1TFT42K4rDFjru31uH1bzqkFoUgIoIUQkIxUMdMECqB\n",
"KrNkqHFQThBisPVkD7ad7oXBandde2l3G9oGrag43YfGXpOE0hFs6A1W9Bptfu/bHQz6AtyPJkgh\n",
"JAiCIAiCYIH0Z/9E237UvS1DeO2bTvxtT7vrmrunTJ2BFIuwEaCi/bemF3dsrsPt5bU42DbEGubZ\n",
"z1pwW3ktqrsM/AugMEghJAgJodl6wpu2AQvWHOzCmoNdaBuwcHpmb8sgPq3rE1gygiCUAnUtwrH/\n",
"DLtyQciL//u20/X3Owe7WcMc7XQqgu8f1Ykik5yhg+kJgiBkxD0f1WPEA/dHNT3YtGxawPBDZjv+\n",
"+GUrAGBSdiImZiUKLWLk0GiV4Ez4y1A6gxXLP23Bj6dm4cqSLPQYbajuMiA9IQYJsVpMzU3iUU6C\n",
"IAjlQgohQRCEjHA/jsnmCB5+2G0/S8eQVRkKIaF65HDW552b6wAAqw90YuaYZDy+ownDltFK9d6S\n",
"KUhPiJFKPIIgCNlAJqMEISHRtgeDIAjCA5H0xroek4cyCDgdThAEQRCkECoe6edgxSOa3pUYhWEY\n",
"MLTZkiAIgiAIGaDGuXxSCAmCkC0Hzgzhp2tr8NO1NXCQUkgQikGjyiETQfiHuqjwkdrEPNTWSo2f\n",
"mhRCQjHQ8CL6eOGLM66/G3vNvMVLg1X1QqvJBEEQBBEapBASBKEIHDTODw7lEaE6qFATBCEs1MqQ\n",
"QkgQRBQitXkKQRDSQ4vJYkMZThByhRRCgiAIQlzIYpcYgcoCQUQdZNovP0ghJGSB3cse0Ps3QRAE\n",
"oRxoFV5iKPsJGdPAo08APqB5KVIICRmgN1hxe3kt/ranDQBwuH0YN39wCh+e7JFYMoIgCIIgCIJP\n",
"7LRCKDtIISQkZ90xHQbMdnzeMAAAWP5ZC0w2Bm9WdkksGSEnNDSFFxzKI4IgJIaG+gShPEghJCQn\n",
"kHWo+ySSGhUCmiQjCH6hKkUQ8kGN/TZBqBFSCAnFQP0KQQSBtCGCIESCJjQJQj2QQkgQBC+UH9fj\n",
"mvdP4pr3T8JidwQNv6O2D7/7vAWDZrsI0hEEQRBiQ0ojQSgDUggJguCFdw93u/7++FRv0PCr9neg\n",
"sm0Y77k9R0QJNEhUPRqy6SAIQqWosXUjhVDh0OybcJDb9PDpN3Ff9dMZrAJKQhCEFFD7qX5ofyCh\n",
"JhiGwe7mAZhtwS2cAKAnIU1gicSFFEKCkBDqULlDWUUQnkTD4c61ehMv8URBVgXltN6Ia94/ic3V\n",
"ehzpGMbr33RgyM1kv+JUL9Ye7Y6KckXICzmUuF9urceKr9pw4/pTQcP2xKfj8bL7RZBKPGKlFoAg\n",
"uCKHBoNQIaRpEoRs0RlsUougGh7Z1gQAeOfQqJm+2e7AA5eOxZDFjtcPdAIAzh+TghljksNOx58+\n",
"SX04IVc0ADqHuFsrNaQVIV84cSSBFEKCIBQBDSaCoxgzPQGVcFrcIJTKiDMum4NBclyMKGnW6c1n\n",
"0x6tOD1GG5r7zbzEH01WMIppfwmCBVIICYKIbhTeh5PzDoJQPla7A3dtrkP/WRPOv/6oGOfmJIYd\n",
"X6TN2sMVjRHGQBDKQeHDAF6gPYSEYhB72EsDbUIJKH1WmvYrEYRzr2S/236+NYe6JJTGc8WQEI/K\n",
"1iE4BG4TdzcPCBo/F6jZlx+kEBIEQagEJU1iMAyD337ajMd3NMHuoNFBOGjUYI9Hn54gXPxu1xl8\n",
"Vt8vaBorvmoTNH5CmZBCSBCEIlDB0Jdwo3XAgiMdBtToTDjWaZBaHIIgBIbacG583iD9Cp7Q+Mxl\n",
"STwxRGWTFEKC8IvSTfEIQs64LwoKbSJFyBgaiUUNaq/lSrLQkIKOQQu6h+ncYblCCiFBEIRKEHsS\n",
"o0ZnxMt726mTJxSJ2hUUgpALB84M4Zdb63HXf+pwWm+UWhyCBfIyShASQgsjwtE1ZIVWC+Qmx0kt\n",
"iqBIOSv92HbnuWZNfWasO3e8ZHIQBCEnorNjI6si/7zj5iRp68leXD0tS0JpgA3HdHj/qE5SGeQG\n",
"KYQEQaiSX2ypAwCsu7EESXFkDCEkdT0mqUUgCFXRZ7TBYLXjlM5Zt6bkJCIlXpyzCfmEjCgJTohc\n",
"UHyUQSqo0aMQ9vf349ChQ+jr60N+fj7KysqQmBj+GT+EOHjMuFGFVSVCf9bOIQuKs6iuE0Q0o7S1\n",
"mzMDFjz9SYtrsqUoPR6v/mSSxFIRokCmQ+JDWa5+hZBhGJSXl2Pjxo1wOByu60lJSbjjjjswf/58\n",
"XtLZtWsXXnvtNQDA+vXreYmT8ITOIVQOlHMEITx0hqPwSJnF7ivvrQMW6QTxQ6h5Q8WV8AuVDclR\n",
"vUL47rvvoqKiAmPGjME111yD/Px81NXVYevWrVi1ahUsFgsWLVoUURptbW146623eJKYUBJNfWa8\n",
"ur8Dj8wdi7wU51617mErjnQMY96EdCTEkqliMKgfiD40rv8RBCEEcmlX5SIHISOoUMgSVSuEBw8e\n",
"REVFBbKzs/HCCy8gPT0dADBz5kyUlZXhySefxJo1a1BaWoqxY8eGlYbFYsHKlSthschv9o4Qnvv/\n",
"2wAAuOs/ddhyyzQAwL0fNcBkc6C+x4T/uahASvEkQ1HtPSkmoqOo8kEQArHhmA5ba3qx/HvjpBaF\n",
"IIgoR9XLF2vXrgUA3HDDDS5lcITx48fjxz/+MWw2GzZs2BB2Gv/85z/R3NyMH/7whxHJGi1Y7A40\n",
"95nR0GuC3aHOYaHJ5jRN/rQ++OGyPoezEgRBqAClmwcarHYs/6wFn9b3CxJ/S78Z7x/VYdBsxyPb\n",
"mgRJgyDkgNnmwBl3k2c5jnvkKJPIqFYhbG5uRktLCxISEjB37lzWMJdffjkAoLKyEiZT6F7y9u3b\n",
"h507d6K4uBg/+9nPIpI3WnhsexPu+28DHvy4EX/b0w7Asx4arHZpBGOBXEirAw1p3VEF1VqCDz6o\n",
"0uNw+7Bg8fcYbYLFLRbUtHrCV9ujtjbswY8bpBaB4IBqFcITJ04AAEpKShAfH88aJj8/H/n5+bBY\n",
"LGhoCK3AdnV1YfXq1UhMTMQDDzyAuDh1n3XGFw29ZtffXzb5rqC19Ps3vVVaIzmyUhiNhDJOoDEF\n",
"QRByo88kn8lJpaG0vloNvHOwC9e8fxKvf9MhtSg+tA1afa4p3YJAjahWIWxpaQHgNA0NxDnnnOMR\n",
"ngs2mw0vv/wyDAYD7rjjjrD3HxLyho8G6zOBzI0I7pAnRplCn4UgVA9N+InD5hM9AICK030SS8IB\n",
"Obb9cpRJZFSrEPb1OStFbm5uwHB5eXkAgIGB4Pu9Rli3bh1qa2sxb948LFiwIHwhCQDqrocv722X\n",
"WgSCIAiCYIc0NtkRjZ9EzeNApaBahXBkT2Cww+dH7huNRk7xHj58GB9++CEKCwvxi1/8IjIheYAB\n",
"8EVDP07rR+XvHrZi2+leGK3qMlmMxkYyGpC8I5BcgCiFKjQhMWQ8AGr/CPHRyHD/qdzkkQDVHjvB\n",
"1ZHEiDkZl/C9vb145ZVXEBcXhwcffBAJCQkRycgHla1DeOmsc5aRYw8e+G8Dhq0O1OiMeOBS+Zuz\n",
"ilUP7Q4GMVruqcmuwVIQcnLkIidZhMD99WhsRxD8IHSroe5WKTrh65tSO05IgWpXCEdW/oJ5D+W6\n",
"ksgwDP7+979jcHAQt956K4qLi3mRM1Kqu31XNofPrgx+xuHYg2ihpd+Mn206jbcqO6UWxQO1zlAL\n",
"sW9P5XodQagKlTZtBEEQqkS1K4SZmZkAAJ1OFzDcyP2R8P7o7u5GdXU1AGDNmjVYs2aN37BLly4F\n",
"ACxfvhylpaVBZbVarbBafb0wAc7VjaSkJNffPve9wrI9L2c0Go2HjN7yBvvNlde/6cSwxYGtJ3tx\n",
"12yuh8WHlra/+4Ge835/sRhJU7C0Q3gvrnkQbl5pNEHKkUTfgCuhlDsNpH2XkL45xPkGcv62kRJW\n",
"+8hSH4SAa33VhvAOfMvN1ja40gmQVCRyuJ71joNjG8g9HY7Pakbq4ygt/Wb2sD7xsPfd3mEiHZvY\n",
"HAwcXpOM4fUF/PV77HHw1Y5FFk+oz0oyBmEZXwkqR5B2z/tOqLIYjcaAE+FxcXGyP41AtQrhiHfR\n",
"xsbGgOGampo8wvsjISEBM2bMCFhIjh07BgCYOXMmACA1NZWTrJs3b8bGjRtZ72VnZ+P1118H4Dwm\n",
"w5uU1FQATu9ShYWFZ6+ecN0fvSYXTnj8KiwsRFJyHwCnE6C83FwAja77uW6/tVpt2O+jjW3zSJML\n",
"7nL5f44tr33f0d9zqampIn0jT5kKCgo8/uU7DW7v5QyfmJAQIOxonLm5uSjMT+Msw+hzeSjM86yL\n",
"vZoBjJSrnJxsFBZmBYlXTLiUHzf6jQBqAQBZWVkoLPRtJ4SDvVwFC5ubk4P0xDgA9QCc7VxhYQ4v\n",
"ElntDgAnXb/l1wbyR45JD2DUQ7bvu/rWh5zsHBQWZgsk0Wh6BWPGIC0x+ABoyGwDcMr12/kOvnKP\n",
"3gtPHuekr6eTr9zcXBQWpPukV1hYiOSkPgDsXqIjkWPk2TOWHgDNrus5OTkAAh9QH0q6SQYLgNNe\n",
"z/rma1xsLAoLCxE3ZMZIO7KhSs9Jhri4MwBMPtdNVjuAGgBAWtpoXxAT0wDAGtK7mKx2zPvbFwHl\n",
"CJXQ+r1gZXH0flZ2FgoL8yKOOz4+npcyxjVd4dtIz/SSkpKQ4zXWy8zMRGHhGMHSjT1bzv3J5NwC\n",
"ZnD95tKWuvPQQw+hp6fH7/0lS5bgxhtvDCawpKhWIRxZmTt9+jSMRqNrlc2dtrY26HQ6JCYmBjUB\n",
"zcjIwDPPPBMwzMjK4NNPPx2SrNdeey2uuuoq1nvuCmhXV5fP/aGhIdff7e2+Hi3ZrsmJ9vZ2GA2j\n",
"Zq/eK7ruvx0OR9jvY7GOnm/INQ53ubg85+9+oOeGhoYk+UYdHR0oKChAR0eHIOadobyXyWzmFFan\n",
"0yHNPhQ0nO9z3UixDXpec3PCpNf3oD02sGm5lATLm66hUeuCvr5etLdLd34a1/Kk1+thjo9x/e7p\n",
"6UF7ov8zSEPBavdMX+5tYCToezzrA5d31ffo0Z7gfwWILzo6OzHk9o39MWTxLK+B3iGSbzniedwd\n",
"nU6Hdsb38Pn29nYYjQaf63zIMfKsvsczXb3evxIWTroDJs+D7/09a7XZ0N7ejh4Du5VSIBncLZvc\n",
"r5vdzuB17wvsdjtreHeMVgdu23QKJhuDuRPSEONnEj6cb6DRaHjr99jS7+3pRXu7jSV0aFgsFl7K\n",
"mFDhI8VoNELvNdbr7e1De7twjhBtZ8u5P8xmzzYx1DxZuXJl0BVCuaNahbCoqAjFxcVobGzErl27\n",
"sHjxYp8wO3bsAABcdNFFfg+vFwOuS8nBGjC2+3I/g41hGA8ZveUN9pt7QqHHEWra/u4Hes77/cPF\n",
"wTC4af0pmO0MNiwtQUJs4O3BI2nylb43GoTwrTjKEK6sDBPkWwqUB3wRSrkT6ntyhWv6DMOAcauU\n",
"jIM/uXlrMxRAOO/KVh+EIJSyEOg313vh4PAjY7htPRdcz3rHEUZehRLW77PMSH0MJ172vtuzfQ1t\n",
"bLL+WDdMNue9r5sGWcMEep4LfLSTrO8EvtqxyOIJ9Vkp2kjvEid43xWk3fO+E6osbItOSkO1TmUA\n",
"YNmyZQCA8vJy9Pb2etyrq6vD9u3bERsbiyVLlriuHz9+HEuXLsXSpUvx6quviiovERj17gSKnL0t\n",
"gzCfXRkprw4+00y4ofCCpUQvowzEy/aRvUd2B7+5w3d8BEEAZwb4sRRQMiqew/KLird6KwZVK4Sz\n",
"Zs3C4sWLMTAwgKeffhqffPIJjh49ivLycjz//PNwOBz4+c9/zvM+KkIwVNpieG+WD4de46iZSscQ\n",
"N9MfpaHOr08IzSPbGlGjM+KWD05j3bHATsa4srO2Dzd/cAr7W/yvYMiVSOuRmlZcvR1bRCWUBYTY\n",
"qKcJURWqNRkd4fbbb0daWho2bdqEN954w3U9KSkJ99xzD+bPn+8RXs0e6eSKXLNcDLk2VOnxVdMA\n",
"Xr5yYlAzT4IgQqeux4zHtjuddfz7qA43zcyNOM5X9ncAAH7/Zavr/NdowGC14+GKJkzOTsAjc4tc\n",
"1002BxJiZNqQE4FxWbCGZ45PEGqAWq8oUAgB4Prrr8eiRYtw6NAh9Pf3Iy8vD2VlZaxnD5aWlmL9\n",
"+vVhpRPuc0KhxAIulBIm536rfdCKPc2D+N6kDKlFkTVy/oaRsr9lEC/tacffriyWWhRxEPRjqrmk\n",
"SMuO2j60DVrQNmjBI3Od19oGLLj3o3rMLvLyqk2fgYDvXjFVE0WvGinhTib0mWz4vwOdaBu0YOaY\n",
"ZNxRlk8LOTwRFQoh4PQSunDhQqnFkIx3D3WhtseEpFgtbpqZi0nZvsqwVHj594hKovS1RUEJXcXv\n",
"v2wFAPzv1nqJJREPKvPKw8biwHbt0W7YGWD/mdA9ABPygeugetBsR3yMhixaBCQa9RuuY7/VOfZ0\n",
"1QAAIABJREFUBzqxp9lpqt/Qa8Zl49MxLU/5Dl3kANVoFTNSv5r7zSiv7sHRDgP2nxnCw9sapRRL\n",
"MShVOVVrX/Lgx40YtoR+pIJCPyNBEAITVatX/gixw7h142n8vLyWl73vBDuqz9oIBikt/Z7HQ3gf\n",
"WxMuas9yLpBCGAUYLJ5nuyjWOZ7qW0kiGDd/cDp4IEIRqHXiQs0oWYFSkzMcqRm2OmC0cjszjhz3\n",
"ED4w0bkKKndIISQkhxoGfqFhTxQj0Me3OxhY7A6YbQ5aGVA4DACr3YHP6vvRPkgu/tUK51oaQXUO\n",
"te9Wfcsh0ViGq3JO+IeGoVG0h5CIbuRe2Wn2mpArDMPg4W2NaOh1muqU5iXhD1dMiCxSuVdIlbPt\n",
"dB/erOzCORnxeOWqSVKLQyAKlCVCEHbU9mHVWa/HRACozwlK2Aqh3W5HbW0tn7J4MHXqVMHijjZU\n",
"swIXwYtQZxu9BC01aiocAtT1YYvDpQwCQHW3kf9ECFHZWdcPAGjpD22FkM38TynVRw2eCBmGUcV7\n",
"CAHDMKjtMSEjIRb5qXFSiyMaclIGO4cs+KSuH8lxWqTEx+CKczN5TyPs0q+UhkpCwlYIBwcH8dvf\n",
"/pZPWTyQ2xEOhDhQXxcetE+DIAihUfIeQrnDpQXf0zyIyyaki5+wiIRrLFPVZcDTn7QgIUaDf90w\n",
"BfExtCNKbB7b3oQ+06iTl5KcRBRnsXi0Zylz1LJIT9gKYWxsLKZPn84p7MiMFlezOJoB44doysWd\n",
"tX3YXtuH745Pw9dNg7j9wjy8f0SHi8alYsl5OWHFScWQIJSH2gcWDMPgSIcBk7ISwnperGZNbt8h\n",
"VLN8ofMpnP6lutvIv0IoIkLm6fEup+WC2c7AYHEgPkkChVBuhV5k3JVBANAZbCjOYgkYQT4JlcU0\n",
"3ItAIUxNTcWzzz4bMIxer0dNTQ1OnTqF2tpa/PCHP8S8efPCTZIg/PLKWbOJ03oTAOCZT1sAACd1\n",
"xrAVQkIc6nrN0BusyEmOHjOfqIcJ+JMIwOoDnag43QcAeHrBOImliZxoHYgJtW38w5M9eLOyCzlJ\n",
"HId3IlY+qucEIV8EcSqzYcMGfP311+js7IRGo0FhYSEmTJiAxET5HIZOEMFQkp8Xd1MupQ2weo02\n",
"3LG5Dm/+dDLyUiRQCpWWYYFQUJlVU7aLyYgyCADD1jDP4OKxnNB3lA772TOkYrSjX+HNyi4AgN5o\n",
"k0QmILLiRZY5RCCEKh4K6joFIyKF8LPPPmO9vnfvXhiNRlx88cWYOnUqkpKSADj3Hfp7BnCuOs6Z\n",
"MycSkQiCN6iBEJf9ZwZx1dRsqcWIGo52DMNgdaA0LwmJcVq0DlhQnJlAJvsEoQD+eagLm6p7AABX\n",
"T8vCnd8ZE15EgtvGChw/ISpmmwNvH+zC4imZrv2BbQMWvPFtp09YJU2qs7HlRA/ePtiFV66aKLUo\n",
"ohCRQrh69eqA9/fv34/9+/dzju+cc84hhVAA5N4ek0MUgo33j3RLLYJqqWwdwu92nXH9npabhJM6\n",
"I+6eMwY/msK26SM6MFjt+LSuHz84NxMJMRrU95oxJjUOqfExrjAjqzJyIJyWM1zpu4as+NcRHW/x\n",
"yR05zou4izSiDALA1pO9YSuETX1m3PtRPS6flBGhdEQ08LONp2G2M9h2ug9bbpkGAHjxizM4MxCa\n",
"x2K5K4sMw+Dtg87V9ns/apBYGnGISCG8++67g4ax2Ww4c+YMOjo6MH78eIwdO9Zv2NTU1EjEIbwQ\n",
"q74d7RjG9to+mG0OzBmX5uFqmGEYvHuoG2kJMbg+jL187o1GZP2zzFsfBbPpuB51PSaPa3yMpTZU\n",
"6XmIhWDjg+OeeXtS53TIsPaoTjSFUI41ctmG0wCcZndPLSjCi1+0Ii1ei3/dUOIK897h6Jyo+MWW\n",
"OqlFiIhQy5vQA1Y5KZwt/Ra8cyg6yzURGma7b8UIVRmMBKEWEGRUHSUjIoVw4cKFrNe//fZbHDly\n",
"BDU1NWhpaYHD4QAAlJSU+H2GUC4jDlwA4EDrsIdCWN1txOYTzpnMyyezz0BydWVOFVZ+OBgG/4zS\n",
"ATLBH3Ks29vO7tUbtDg8ro+0ZwQ/yHFigFAgbgXps/p+XOdnArqmcxC9fSaMzwjPS68YMD3dcGzZ\n",
"Dc2l34Mmv1BqcWQFHX0jHBEphDodi/kIw+DNN9+EwWDAjBkzMH/+fEyaNAnjxo1Derpy3SUT4dFv\n",
"Gt3YbrFRRfZHpDmjBrNbBwMMW+xgGCA1ISb4A0TYyN1cJxLU/G58Icagij5DaHDJL6XnKZ91k2EY\n",
"v/ud3z3cjZkFyZiSk+Rxvddow22bDgAA3r9hiocpOC8y8RWRvhvM4XVgPloH7Wvl0MQK4v9RcMRW\n",
"3kaOluFjHzzLQqjqiaiU3XPPPQHvV1ZWorKy0vU7MTERKSkpSEtLQ1FREYqLi1FcXIypU6ciIUG+\n",
"szVKRW4qwtaTUs6sh54bcss/tfNWZRfeOush796LC/iLmD6k7InCvpcTBqsd20714cKxKZjIdsAz\n",
"wZlQmwE5mXTKlfoes9Qi+GVfy5CPQtjcNypv97CVd4VQECwmIJa2UwXjcPswln/mtFb7v2smYUxq\n",
"vGeAEOvz9f+u4Uky5RCRQnjZZZexXvfWzu12O+x2OywWCwwGA/r6+rBv3z7s3r0bABAfH4+ysjLM\n",
"mzcPs2fPjkQkggW5dGwf1vSyXg9ndWvV/nY4GKfiQF4R1cfIuZK8oFJto6nPjCGLHflSHNXBA1Rr\n",
"g7O5ugcbqvTYXtuH1ddMxuH24YDhGYZBXY8ZRenxSIqT4GBuQlDkVmf8Na3RukovyPexO4KHUSDh\n",
"Dtv8jRdHlEHAObn8pPcZrVFaJkMhIoXw/vvvZ72+du1aNDQ0ICsrC9nZ2cjOzsaUKVMwYcIEaLXO\n",
"Tsput6OlpQWnTp3C4cOH8c0332Dfvn3Iz8/HlVdeicWLF0ciGqFCRupzU58ZO2r7AQA/LsnCpGya\n",
"ORcbi92B+BhuA06rnUGMFtCS4s4bOoMV9//X6fnsvkt8V1O/bR3C0Y5h3HJBHhJifb9TKH1jtPaj\n",
"ciitXzQOAAA6hqwAgPpeU6Dg+LxhAC/vbce49His+skk1jByeC/CF/ouTsJWJlWUgYz7uzjCPGs0\n",
"irHJyBO0khDEMDk3NxcDAwPo6+tDfX092tvbYbPZ8JOf/AS33norACAmJsZlMnrFFVegt7cX27dv\n",
"x7Zt29DU1CSEWIQbwxY7GAApcdqAK2wGqx0JMVrXwbdDFjtnMwur3YFvWwPPaIeDyTY6Y2a2CTd7\n",
"Rk0KOx9U6bDumB5PLxwHa5DZS6PVgV99WI+8lFj86YoJtJrLE0c7DK6/Nx33NMXuMdrw/NkjJZr7\n",
"LXj2++dElNaHNdHpREUJ9d9bxvJqp/fYYF7/1LDnOFTk9j2j8RtQ8x8GDnWuEBLyIyKF8LnnngMA\n",
"PPzwwx5HRuzdu9f1d1paGpKSktDY2IjKykrU1QV2XZ2Xl4eurq5IxCI4cPMHTvfq35+UgQcuZfdi\n",
"1T1sxV3/qUNJTiL+/KNi/OtwNz44rscjl43FvOLgDoL+ursde1sGeZU7fOQ2HFAuI2eRPetmouGP\n",
"r5sG0GO0ocdow7DVoYw9GwqnfXBUGTjkZmJodzA40DqEKTn+V9QHzXa0D1pQmDa6/2L9MTr+Q00w\n",
"IE99IwRajYpGhU1oBDUlDTFuxZi10gohIRIRKYTV1dUAnOafbNe9aWtrQ1tbW9B4c3NzIxGLCIHP\n",
"6vv9KoQfnnUCc0rvNFMaObvsL7vbOCmE8lEGCTkg2fBKJuM6g9WO1gEL8pLj0GeyoVhkJyErvm7F\n",
"vpYhAMDkbHYnXg4G+N+t9Xjlqok4R0C37EoYi8mk2BAqJSylnAplSPSbbKjuMgIaYFJWAj5r6A8Y\n",
"vr7HBLPNgen5ySJJyAE7KYSEOAjqy/aZZ55BcrKzYjEMgxdffBEZGRm47777wDAMnnzySeTm5uLh\n",
"hx92/dZqtXj88ceFFItQKOH2hWsOdqFGF3jvjZqQg1nOiAxKGPiLxX0fNUBnGD2GZeXiYl72v3L9\n",
"3iPKIAD0GQMPMva2DAqqEBIEEd3U95ig0QCJsVoPiwQ+ebiiEd1uba473u2m0erAQxWNAIDVV09C\n",
"QRgyCdLfKXiFUIz+n7fhjhwGThLDi0L41FNPuZzFuLN69WrXniGGYTA8PIyysjJMmjS62T0+Pt7j\n",
"NwCMHz+eD7GIs0S76ct/6CBpQgbovAYm+84M8u4QiYGw+2rDZUdtn+/F6G6WwkJOWRboHLizAcQT\n",
"hlAcI8oXALxz3bnISnIOR7mOyxkErw/+lEE2BsyjYRv6zGEphHzBuL9ZlOwhdLi1F3YH4/JbQYgH\n",
"LwrhxRdfjMRE58CGYRhs2rTJdd39fMGsrCzMnTuXjyQJQvW8e6gL+1oGkZUUC7ONwR+vmIC4GM9G\n",
"csBsxxM7mtA2GNiJhFTIokkPcVyqN1hR22PCrIIUVg+dcue5z89ILYIPq/g8RoSQFf70PsZmBWOx\n",
"AyOTxczZ/zGM85rFAoABY/NsJRjDkHdUo/eMBoBxANqYsysnGqcGoYFz4KzRnm10ND6aBWP1bSMZ\n",
"iwmMhcULr9kMxu5fmWCGh0bj12hGM0GrObtJkwFiYpz3bJ7xMCbD2ZkbzzP8GAuHM/2sVjCGYVat\n",
"iRkecqbpT2YDvw7eGKPB8/fwkDPvNVow7s7GrBbnN2Xg/HYsnGrvw5yxKc5vauOmxDFGAxitxvnd\n",
"tVrf78vyvT2eN5vAGOwAGKfMJrd0zSYwBm3w/PRSWhiLGYwxxpUPzjKpgUt9dTiAuDjnO3KdMDEM\n",
"O99t5BmtFq5OzY+y6Kon0Lg9A2e9YfkGrjI18joOx2i/qYHzecfZ+LyfC4T5bH54p2e3gbF4fp+V\n",
"e9pxoLkfy2Zk4fHP2rHwnGTcdUG2Uy67HYiPB+x2MF7yMzYrHCYvCzCHA4zZ8xrD2J3XGOcual+Z\n",
"lLsSyxe8KIRtbW2Ii/M9C0un0yE7OxsZGRnIysrC1KlTXYojwQ8MzcLyhsFqh9HqQE6ysyx7d7kM\n",
"w2DQ4kB6gjiOUcqrnSubbYNOl/O7mwewcGKGR5hNx/VBPQpKwUixVFrpNNscuGOz0/FVWkIM/rVk\n",
"isf9PpMN7x3uxqSsRFxZkkleUxXIUzubMCk7EbdfmB+1s9Bi1EvHYz+Hw2oIGo6JSQTm/W70uQdu\n",
"BhauYI/z/ptCE8ItHub914FpN3qm/Zen4Rhs8UnPce8NQMl1wNhL2OV48Oaw5XDc53wHJmMScOH/\n",
"jl5f+Vug7J6A0TC7KuB460OfOD1k8pd3Dyzzey8cHI/f6fnd3PLEEZMAzHveKfPHG+F47RPn35f8\n",
"BkjM9omL+b8/w6E/4fx7xm1A7nnB03/gZriXZGbCImDiFaO/d/4HmHC5/+f/9DgcQ+2jvxOzgEue\n",
"cP791ktw6I47b/jJs9qnHsakoTbPMvbmX0ef4wKH7+H4U5AtVCxxBK0n3mXngWVB5WB71vWcvzL3\n",
"xl/g0Ff73q/cDceWr4Hv3Odx+eszBgwcO4KhrCn4qG4Id7z1K584NbMfAlJH/V4wr/4e3cMdwKVP\n",
"jV47fhCOdWs8021rgePeX7O+BwDg5FEgu4T1PaIFXhTC9PR010qgu4Ki1WrR1taGI0eO4MwZ56z1\n",
"+PHjcdNNN+E73/kOH0kTHFDSmLVW7zmrs/G4OB4Ohyx23HLW8+o9FxfginMzfcK8fbALW0/24pHL\n",
"xmLuhDQc7gg+2OETtrN1TDI0D5SC410GfHiyl/1mCOW/22B1/T1o9p0xfPazFjT0mgH0oyA1Dt8p\n",
"SvUJIyWcX1UObUIIWonJ5kCMBohzO/vSbHOEtYJb1WVEVZcR49IT8MMpvvWcIAAJJrOU1FGHhNKm\n",
"BbnxyOwH8YtTmwWJW6PSPOOCTRPahDvDsTNTa+3iE14UwmXLliEzc7Rj3bFjBwAgPz8f8fHxKCkp\n",
"wcDAAI4cOYLm5mbs3bvXddbg0NAQysvLXc8yDIPy8nJcd911fIimepS+QqEzWLHLzfPX6wc6Pe7v\n",
"P+PffIhPjnSMmj6s2t+BK87N9GmSt55VOP6yuw2Vben4vGFAFNmUiMuaSqT0ntzZLEo6TmXQyUmd\n",
"URYKYWs4K8QSjzdCKRftgxb879Z6AMD6pSVIjNXiYNsQXth1Bjedn4sbZ4TnlfqU3kgKIQ8ovAsi\n",
"ohQHtLhl7u9gjHVara088NeQ43ij5Fq+xSIkIpqV8BF4UQj9KSWbN7PPnnz11VeuvwcGBrB+/XrX\n",
"b4ZhsH79elIIw8BgtXM6G05O3Lk58LmUQlB+XI8fTslESgRn4qlBGdQPW/DGtx1YUJyOKTlJgqRB\n",
"TSwRKX/fO2rWtbd5EN+blOHaJ/n+EZ2PQnii28gp3k/q+nFlSRYm8+zYR0pa+uVnPk4QcuRY1rku\n",
"ZRAAto39rttdmuVQMmxfL9hYZCAuRQhRFEVECmFSUhI0Go2PQnjnnXdGJJTSV72kYnN1j7qPV+Cp\n",
"WLx7uBvvHu7Gllum+Q3TOWRBXQ//edljtCExlv1FDFY74rRaH8cxQvHsx9XY19iLD0/2BswLvlBE\n",
"tQ5Bg5Xj9l0pRfrjzhp09Q7CYLXjwsIU/GSa714hMVgewqTY49ubsHHZVNZ7ciyvcpKJi5dHJSP8\n",
"u3nVVg4NitJXMTQcxOdqAhgpZq2n3wtTjHReRb0RKw/UAFudCKeW1KeNi1wYhRORQvjOO++wXr/i\n",
"iitYrxPCMmxRt5ckMZvI/9lSH/IzTX1mjEv37VSuef8k3r3+XOiGbXh4WyPrswNmO5ZtOI38lFj8\n",
"3zWTI5wU4fbsgWY/e+4E4o7yOtx2YR4Wl2SJmq7YuLvM5st99nuHu1HVacCUnESc1pswrzgt4jj5\n",
"ZtPhVtfflW3DeLOyC1lJsfjVnDHsD8hgzGNl2ZcrZ/iahHCPx8Ew0EbQ3shxYoQgCOlh/LQrDDR4\n",
"3MuhDCE9svKprtPpcODAAanFIBSEg5GPInz/fxvw6jfs7vVv21SLVfvbWe8BwNdNThPUrmEbq/MY\n",
"sbE7GJzWG9Hcz8EVOgsM4+sB12hz+OwRFQMx9Y7dTQO4+YNT2NXQj29bh3DzB6ew/TTLGXwhsvG4\n",
"Hid1RnxY04uTOiM2VyvjbM1eow0vftEaPCAhGS/tbhMkXlrlILxheCwSfPeS/pSXUOlOyIQxJgED\n",
"ccnoi5N+j7kcqc6cKLUIBAsRrRB++eWXiImJQUxMDLRarcffBQUFyM/PBwDs378f+/fvx3nnnYfz\n",
"zjsPBQUFrPF9/PHH2L59O5YuXYqrr746EtGihmOd/j1dRurYQwmmu//Y345+kzwUQsC5L0l6Iu8q\n",
"H9nWiPqzDlQeuLQQ35+UEeQJTz44rsfxLgO+F+JzQiCUes0W74qvnYPrlXtGlf9Xv+ng3XmJ0aps\n",
"77LST3kQI3zVNIhHovR4YGnLofz7V7GQYvIgcIrhlYy2pFz8acZtHtfe+/q3SLGpeCtPGMjJPJcY\n",
"JSKFcNWqVX7vabVaPProoygpKcGqVatgNpuxe/duAEBeXh7KysqwYMECTJ48GYDzLMOdO3fCZrNh\n",
"YED5DjuEoKnXt1ERYp+bkmgftAYPpAD4NLviI656N2+af9/bHrJCCADV3UZcUEAbteWI1AoZI7kE\n",
"0Y0C5vokR0O2sGEjh5wLXsQDSRleBfk6f5bPtbrUcTi/rzas+JSOvzoU2QRAZKXLrtHi7XN/ElEc\n",
"akUwk1GHw+FS8MxmM5KTkxEb69Q/u7u7sX37djz55JN4/vnnUVVVhb/+9a+wWCzIz8/HDTfcIJRY\n",
"iibYuXdMwynP3wzAOOxwfLUjpHQcn38Mx4Gvwj703rG9HMxR/k1/eTcRGR6CY8v7YFoaeI6ZnYCD\n",
"sP7R/XyOjz8AY2VRdHWdcGxZC8YU5PzDlobgYQB59NoS4GAYfNVIk05E6Oysjdz8NxJUqcip8Z2I\n",
"kODDWU7oJp9U8ISGLzPcUAmU6s7COagoukw0WZQEL8dOLF++HOPGjQPDMLBardixYwe2bNmC5ubR\n",
"s8Euv/xy3HzzzWhqasKxY8ewZ88eNDQ0oKqqClVVVQCcq4r33nuv65B7IjSYhtPAuHzPa1/uAHb9\n",
"F5hdwi2O+howa193/v2L18KTY+M7zuZ94YqwnhcL5r1VYCp3g/loPfDMv4RP0GSE3zmY/h4gLdkp\n",
"14frzu61uMAjCPPROjAdlcBQPzS33O0/nTMNYD44As3PfsWL2ErHu3P4omEAW/wdYh8lRDr8WnOw\n",
"C5fLwBxYbF7Zz75HWEmEO9HnGw8UNaaW357GKJ2RkwlS575DduVRPKT0ltuZmCNZ2nKHF4UwMzMT\n",
"6enprt+5ubnIyMjAuHGebly1Wi0mTpyIiRMnYs6cOVi9ejWqq6td96dPn46pU9ldgBMcYGtfmkM7\n",
"54/pdhvw2OWzN08ImKqD4iZotQJgn+zwHqww9TVAzgXsYU8eC5oUUxM8DFfUtirxeYPnPk+ur/e6\n",
"H4dBUhBpdxrpJ/3PiR785wR/jm0C6Sjut8Qtiyor+G7IwRpyzeSr8OE586UWQz6oraFlQX5KuXTc\n",
"PO95qUVQCfwcO0HwpBB6c+GFF2LhwoWIj49HX5/TxKazsxM7d+5Ea2srGhoaUFNT45qpTE1Nhclk\n",
"wvHjx7F+/XosXbpUCLEUj9hNKZf0DrYNCS5HVMIyYqPOVHgCdSQVPHgLDQeDlf+JGTmUJA1HKdxD\n",
"iavI0LBCSMRWBkNflaDvLwVKPmsxFBNJSxQ7VpGfEyECEEghzMvL87n2zTff4JtvvvG4NnHiRCxa\n",
"tAjz58/Hnj178Nprr6G8vBxTp07FrFm+m3OJMAmlfQ1xlvK5z8+EJksEKL1C8yd/kA/qPPMhrJjN\n",
"Ngce294U1rOssLz0kMWO1PgY/tJQOb8M40xMuaOBhhzLSIRY3qMDfd2W5PwAd8VDqj1OBP+E6gQo\n",
"0JcPt2VSaovmbv3NpyW4v/ygyW15IohC6I+cnBwUFxejtLQUZWVlGDt2rOvewoULUVVVha+++goV\n",
"FRWkEBJEuHAc5LANyL9oHEBjX3hnD/pJxIdbPjiNV38yib80IsTDJFEyKfwzYOZ/hVBuAxd5jstl\n",
"KZQqeG/SlVKLID/kYMerJDQaXvMsmr3K3nXp05itr0ayzYxdBWX4w8FVKDAp46xbtnaareWO3q/L\n",
"HV4Uwp6eHsTHsy9/9/c79+tcfvnluPbaa13XNRoNdDqdR9gf/OAHyM3Nxfe//30+xIp6Ih1kqb8C\n",
"ifyGIo0vI3krq12cPHl8e6Mo6bAhxMwwoX4sdunPfuRqZit3OpLEd+wQ+qpEZHk9GJuMx75zH65r\n",
"/txP7OptbfzlNZd3Dnf1iFZ7w6c3IR07x17i+v3mlGvw9LE1gqUXSdln+8pclHlGo4lqRz5c4EUh\n",
"fP754JtjP/30U3z66aec4tu8eTPWr18fqVjRh3r7F1UQWlPE0ctGBIGcg0uBCw21v4rGbJNeCZIL\n",
"YpjHD1vs+PcxHToGrfjOWGWc4bm7eTDkZ+TSVQm5KnTb3GcBAK9NXSJYGkpAKYovKZSj2DTy3dIR\n",
"bmlqSSnAw7MfxMze6DwTkguimowSykL9JhTq7AAieSvqE7nDn/v+0OPx9wifVXbYYsfNH5zmL0KF\n",
"U9XJ4WzPCFlzsAs765xWNQdahxAfI+8K2T3Mcl6qalB7/yc+Stk7pgwplYAYOcndy2hTaiHiHWpu\n",
"syIjIoXw7bffBjC6SX1kYNPX14eamhqkpqbivPPOc4Xfv38/AGD27NmIiYlhfZaIAD7qXlRpBOKW\n",
"OSFS8/e1GhLy8PD7JzE5OxEvLS4WIGWCL/aEscISKVxq+d4W8eSi5t/JKZ3J47fFy4SbD0c8fPa1\n",
"NkeYcUVVPxPdDMUm47qzZxIn2nncny4g4daQYKXaoo1FdcZEFBp1QUKqGyknBqir8U9ECmFKitOk\n",
"5bHHHoNGo8Hy5cuRnJyMmpoarF69GpMmTcKcOXNc4VevXg0AmDNnjsezMTEx+MMf/hCJKFFBWH2o\n",
"RqMYkw21E9Ln4zho8xfq4cm3AgDqekx+QvAzuCQip7rbKHqaUn95Bgzn/XDSnUNIqB0pzQSVsloW\n",
"Ke7Hi5hi2M/hlRt/nvH/8MEXv0EME5rJPFu76j7+er3kOuwqmB2hdOLwl9Jb0JGUgz8cXAVDbCKe\n",
"uvBXKNOf5CfyCIo+l0ejo2bxDy8mo01NTjf1Doez8ozMQLa0tGDNmjX40Y9+hMLCQr/ParVaPsQg\n",
"vFDbrHufyY7P6vvh4O3F5NNsNKQVuf72N0jhqth/HkGHw3uO+BF50CLe3jShvnKkpTCSYkwOo6IT\n",
"tTiVIQjBCfUYCq/wJzKKMaMv8iN/3BV/rsqg1JMFR7NLXH/vzr8Ap9LHoy05D23JvkfKKQ2p81bO\n",
"CLqH0Gq1Ytu2bdi+fTtmzpzpuk7moUS4vLy3ncfYxC2Hpy3ynx1ly5FwrcIAyELn9hFfBctM0dSE\n",
"RtO7Kgkubqv8Pyv/Oii0hOFY7pC1j3B4T8QqoYyKgU0TA7M2jt9IqRjLEkGW5kb2BWZkZKC0tBQA\n",
"cPToUZ/7RGiElWsMNWsEIUdGmkE+6yfXplVJbYL7O4mpHCqhm3plXwev8X1QpcO/DndznrQlZZ1H\n",
"lFDgZAQVPYLgl4hWCO+//34P5e6JJ56AVquFyeTct5STk4Ply5ejv78fBw4cwBtvvAEAWLFihcup\n",
"DOA0NX3uuec84l6+fHkkoqmSUBvA8PoX6pRkQaCPzcMorH3QwhpNtH99pQ8y1DhAl6pMSpGXoe7r\n",
"tUa0fO/J8U4D/nXE6exiam4SLhqXylvc3qiwmIpCJNO7f592I4+SIHDFjPaOxA1a1WVB4PIRMMdp\n",
"4sUvESmEnZ2dHr+7urpYw2VkZGDRokUuhbCmpsYnTHV1dSSiEP6gwq84/DVmbIOBcL/uL7fUhfmk\n",
"+pC8hkgugPSQgyPx8Gehc7x79FiNI53DQRXCWr0J6QnyPa+M8EQpzkyUjW/dimYbLTFKXqTmAAAg\n",
"AElEQVRadQ11HbwRkUI4ffp0AMCJEycAACUlJYiJicHg4CDOnBk9xLevrw8Gw2hnMxLO/dnS0lKX\n",
"mQqZlLITLFf8NzyBa8y7h7rQPWzF7WX5yA5LMt/U6AuKg9zbQjmUg2Ay/GNfO9oGrfjrj4oRHysH\n",
"iYMjtFMZMXKBaxpSlXHqhgLz+I4m/P3HE6UWQzBEX9nhsCQtq9UmgUQR7x1llJcsHMucjIqi78Km\n",
"icHkwTNY2vSJ1CKJQkfS6CjUAQ20YexWbk/Kw2BsEs+SqZ+IFMJnn30WALB06VIAziMk0tLSUFlZ\n",
"iRUrVsBisWDt2rWoqKjwcCozEm7kWa1WSyaiElJe3QMA0BtseDFLYmEIDojfkR3rHMb0vGS0D1pE\n",
"TzsYn9T1RfR826DzoNqHtzXiH1cpY4ArtDkjI1IanMLJe9ymOBiGv/VYi108b8GRIuURE2zISxp+\n",
"aUkeI7UIkhDs2IlQWD7rl66/v80txQ/b9iHTOhSmZMqhJyHT9fdLpTfjker3A4ZnWCpSe3Iubpv7\n",
"nO8NyH0aQFp49TLqvbLX1tbmWimsra31G47gSJBsY2t4rNDAytFDVH2vGSCFUAZoILdm6+lPWjB3\n",
"Qhq+bgrtsHKh30JvsOIfPDvWEBspWkO5tcBcj1NgOwi9rseEWr0JiyZnIEYrtzcLDaUdK6Ebtkkt\n",
"gnpQ+Ljo3jmPYtJgK5pSC9CSUhB2PGozsbRrtGhOHsNppSsQFq2ghwLIkj35FwBeCqH38SAEfwha\n",
"wiZMmICUlBRceumlWLBgAW699VYhkyO8cDDAfZpL0fmd73N+RqMZHcSH2yw7j5ymSisc0nSYoSqD\n",
"gPCSDprtIT+jhuFGNNUu93HyB8f1+MG5mR73f13R6Ap3hdc9pSHpXkrGz98B+ONXrWEmJu9aeN3C\n",
"FcgyD4ia5lMX/krU9PiGj3Pq9uTNxLe5pTxJFAxxyuBfzrsVhig1X/S3Ks+30h9N/aGQ8KIQpqY6\n",
"N597r/xpNBo888wzfCTBC/39/Th06BD6+vqQn5+PsrIyJCYmhhUXwzCoqalBQ0MDjEYjEhMTMW7c\n",
"OMyYMQNarSCneYRFpya0hsh98oUZ6AcQ7/zbbPIKxwD1vs6BFIsCWpRRJTs0YZnWZv6F4cqpKgDh\n",
"zxaz4dixGTAaoSmdBcYWzyH8f2A/sgvodA5eme/+Gohnl8mx7g0gdZHrt/2XPwUcZ83iFq7wDLt9\n",
"M+xfdgC6DkAbA+QVAFlL2ONd+zqAhR7XmA/XoXJfMramXBb0HXwwGYFY33MtHW/8GSi9xeOa/X9+\n",
"CkyeBoy7fTTtoQEgJtlv9MzuT8CY+oHcBaHLxgHm2EE4dE0AnI4umNrjsP97C2C3AbouIDcf6NVD\n",
"M6UUDmYWkFwEAOgcssL+i6t9vgUAHNm6DZefWg/M+0NIstj/5xpnw5eUDFz87KiMLQ2AxjnAtT97\n",
"HzDlHvbn//wkcKYRyC8EGk8DaRnQlMwAY7MCxw8BNqdJMnLyAX0XMH4yoOsE8gqgGXsOmL2fQ3PJ\n",
"98Ac2gvm/F8BflZX7K+8ACZhCpB8Abf38pNPjr89C0y5GkjOHw37wq/hSJkB5H/XGebTrbCv/hCa\n",
"714OZs+nzkAscQWCzZRLSfQmpEstgg9qd6Dxl/N+xjmsHFcS2SSKVmWQUB68KIRvvfWWx++0tDRM\n",
"nz4dY8eO9bg+ffp0aDQaD4XpH//4h+AmpAzDoLy8HBs3boTDMbrnISkpCXfccQfmz58fUnxtbW14\n",
"6aWX0NLS4nMvNzcXjzzyCCZO5H8vktjNH3N4L3COc0DouPdGjwEB89V2MO+9GvIggeAIR7MILmXC\n",
"8ey93L+TPfQVt4BpnzgCTORXIWQ+WOP896N1YFIKgIt+HTj81zsAQ/fohaF+INuPTNWHgTmjCiEc\n",
"AfZIMQxQVTn6u60ZWMiuEDKffwwsXOhz/XfhKIOhwjiA2mpgnNs1mw0I5CCyqwOwDAC5wojk2F4O\n",
"mPuBi88qhNvKAf2J0QD9zn3NzP4vgAvP4x5xOOV3pK4ZDZ7X9V1A7tkVj9YmYIqf509VOf9tPO38\n",
"d7AfTOVu33D6s164m896+G2qBdPk3ErB7Ps8uJxHvgHGJQDnclMIQ6KpFpgw3ueySxnkGaUri4Qa\n",
"4F+75itGOdUPJVh7ySi7FI0gJqMlJSUuhzPusF3Lz8/3ucY37777LioqKjBmzBhcc801yM/PR11d\n",
"HbZu3YpVq1bBYrFg0aJFwSMCYLPZ8Kc//QkdHR2YMWMGvv/97yMjIwM9PT2oqKhAfX09/vznP+Nv\n",
"f/sb4uODr17ICQ08TUYDwWzf7P8ebxKJiIxaFE75zzCwOQQwMDMbeY5Q4Mke3uMTryDUpxaJllY4\n",
"iJkXimwzFAzrETb0EWSPnBQFuRMsq2wazxkx2e9NC3HhpC61CKfSx+OK9v2IYcJ3/iTHlVh3qN3i\n",
"D9XvUj148CAqKiqQnZ2NF154AenpTjOQmTNnoqysDE8++STWrFmD0tJSnxVNNqqrq9HR0YFx48bh\n",
"qaee8ljtvOiii3D//fdDr9ejsrISl156qWDvxYbcKy7BEwyDl/a048CZIUzN49cchf/GVX6tNV8d\n",
"f6T1TYi9Mv+cdCXvcQrBmeR8Dy96gZBqhloJM+N8IqayQX0VITVbzwlsGRZOGZVTqX509gMAnE5t\n",
"rmplsViQkGhrW5WCfDa7CcTatWsBADfccINLGRxh/Pjx+PGPfwybzYYNGzZwim/cuHF4/PHHcd99\n",
"9/nsFUxKSsLUqVMBAF1dXTxILy4M4DELFVA5kPtsmsr5snEARpsDh9uHpRZFcQRyP6/0jkqXyM1N\n",
"sNRv+UbJtRJLQBBENGOJ8bTgYusXTBw9tLviiEgiYTiWda7UIvgQirL95rlXQx/P335emozyj6oV\n",
"wubmZrS0tCAhIQFz585lDXP55ZcDACorK2EymVjDuJOdnY2ysjIUFxez3jcYnPtQcnJywhNaajgq\n",
"egzk2fiFhEyVWmnPy5JnnohFKJ2FUpRHBsDHRd8N4yl5QB04/yil7BKeyMo8TmXVkq2d4TrBRoRG\n",
"KMX443FzsWIGd2dDRPioWiE8ccLppKCkpMTvfr78/Hzk5+fDYrGgoaEhovTq6+tRXV2N1NRUzJo1\n",
"K6K4pCCU9v36836N6/05KlHieUpy6milRGGfjouy4D2IkovJaCSEMqD/Jvc8vDnlp17PB0duB3kr\n",
"DTs02DBhEb7Nnia1KIRK2DJ+AWrTxgUPSEiCHNvMA7nn4WB2Cd449xq0JYXuJUwOk0en0yf4vdeU\n",
"Wgi7RtWqjGioOhdHvICOH+/rPc2dc845xyN8OBw6dAh/+MMfEBsbi3vvvdd1FIficGvQVL+BXYaN\n",
"dyBEUUCkb/t5R/XlOAgNqcH3RvsS5ZnmhT2M/Pi8YDbWTbwCvz//Dh4lUc5kBq3sCsNj37lfahGc\n",
"qKyv8FZ8pOw3AilA4fDC+XehYtxl+E3ZvSE/K/d6/M/JP8b2sZdILYYqULVTmb6+PgDOoyACkZfn\n",
"dC0+MMD9INqBgQG8/PLLsNls6OjoQF9fHy688ELcdNNNfs1JI0Vh+ov8cV8porwlFITcO2m18eWY\n",
"C0N+pim1UABJCD6RtB7JdMsCoV6G4vyfPatkOpIUukVLZqhaIRzZExjs8PmR+0Yjd5f7VqsVVVVV\n",
"HtdOnz6Nr776Cvn5+UhOFr/i8bO0z9GpTACom4sUfgcpfXEpvMYXCkKbm4QTP1+525qcx1NMhNzp\n",
"j0+TWgSRoQkHIrrw3krgHP/QaEYJ0AQpP6haIeR64D1ztiHgGh5wOo1Zv349HA4Hent7UVVVhU2b\n",
"NuGjjz7CwYMH8eKLL4quFEZaKZyvz94AHsucHFHcskRhS67hKld3XLacZ0nkg5Qdwbe5peiLS0Gm\n",
"VQJPrxG+Ng1zOMBjJp1Mn4BMyyAG45IxZfAMAOB02jikWQ0oMPXwl5BC4LPe9sSnYTg2CRZtHApM\n",
"eqTYgjuHkwPmGP7PKTbEJPAeZ7Qgx/1/6oXyWo6oWiEcWfkL5j2U60oiG1qtFjk5OViwYAFmz56N\n",
"3/zmN2hra8PWrVtx0003hS60TOF6ZpiicJ8RlNsIWSJzIjlsIOcb75XuQG9o08YEuOvL6fTxuEh/\n",
"Imi4TvJWJwofjpsntQisPFl2j+vvlQf+CgB4/OxesE27HqPhUZgwAO767jOu3+mWIbyz53fSCRQC\n",
"v7vgF7zH+fa5V/MeJxHdRDImoJU7ZaFqpzKZmZkAAJ1OFzDcyP2R8OGSkpKCm2++GQDwxRdfcH7O\n",
"arXCYDCw/uduxrqxSoSZZB5myRTZCMhsdjCgNAIoixqNxvkfz99OaWVhyzkLBIn37kueECTecFHW\n",
"V+FGY2oh1pz7E/4i5JhJB7NL/Nxhr6dVmZNxLHP0bDBHKEed8FD3GQ3QxmLurLS6ysZAvLTO3LoT\n",
"MiWd/DnstywSwfCuW3JzRibVVK1c2oX2pBy8MPPnaEgrkloUVoxGo99xvMFggNVqlVrEoKh6hXDE\n",
"u2hjY2PAcE1NTR7hI+GCCy4AAPT29sJqtSIuLvjBpps3b8bGjRtZ72VnZ+P111/nlHakDYZGo0FW\n",
"Vhb0I/HJox0QDI1mdO4rOysLQKuU4rhgAL/HpABATAz/1baw0OkAIy29B4CB9/jlRKBifSRrimhy\n",
"RIJcOmk50ZPA3+HF3gRqW184/y68sn8FxhoDTzzKhcqc6VKLoMq+5WB2CV44/y4AwH0n1kssjfB8\n",
"UVAmtQiCI6tzH6OcP864DS0pBRHHI5Rp8EMPPYSeHv+LNkuWLMGNN94oSNp8oWqFsLS0FIDT2YvR\n",
"aERSUpJPmLa2Nuh0OiQmJvLiHXRkPyLDMIiJ4WZ+du211+Kqq65ivRfKvsZIYRgGvb19oqUnNSPf\n",
"qj8uBb/ZWhUktLhYLBa/9+x2G+/ptbe3AwAGBwZ5jVcIE9TrFq5AumUIfzvwEqdVHDUOPiOFxjkc\n",
"CCGTjmVODl8h1Gg4r/rbNaGZNLNRUXRZxHGohUjqgS4hA9vGXorLOw6g0KjHe5OudN17ber1kQsn\n",
"c7zPNpUbfPQ91HfIBz6UQUC4vm/lypWuMSUbXBaHpEbVCmFRURGKi4vR2NiIXbt2YfHixT5hduzY\n",
"AQC46KKLAq7KjNDR0YHW1lbk5eWxrig2NzcDAMaOHQutlptFblxcnHwKi1uBVvvsWHnRPBxJn4gE\n",
"u/yW8gM1LEKmx/DcXAq1kjUQn4o7LvutIHErAeH3eopc/qJsxTPct908fiGfYgiM/7fk63tLWW5e\n",
"nHkHmlILsa3oUvzra/U67ooWyKkMEQlsC05KQ9V7CAFg2bJlAIDy8nL09vZ63Kurq8P27dsRGxuL\n",
"JUuWuK4fP34cS5cuxdKlS/Hqq696PFNVVYUVK1bgjTfe8EnL4XBgw4YNAIB58+Tp3IAY5V8TrsCx\n",
"rCn4NrdUalE8UNPgWA5OanwnNqSXSf6opwyqCSH3yMmhropNJKV85JxJQ6zyB4JKhBQ4cVBCuxCK\n",
"jFRq/KPqFUIAmDVrFhYvXoyKigo8/fTTuPbaa5Gfn4/a2lps3boVDocDd955JwoKuC1HX3LJJVi7\n",
"di1OnTqF5557DgsWLEBOTg76+/uxY8cO1NTUYPz48X5NQIUlwmMnIo+CEJBXpi1FZ2IOlg0dESwN\n",
"vleF1b7KrFTl3R6iN9Voh8+vrIHnlIRcqohSy7IcePLCu9GUOpZz+OMZEwWUhuALOfVfaqqfUpri\n",
"yuiTyg7VK4QAcPvttyMtLQ2bNm3yWNlLSkrCPffcg/nz53uED7RvLzU1Fb/5zW+wcuVKVFdXo7q6\n",
"2uP+7Nmzcffdd3MyPyWIUPmgeBGuOlEjtRicUdoejFBnnf8483as/+IJxDF2gSQShsG4lID3vygo\n",
"w9UtX4okjfNMtnXFP8AYox7tyXm48sxuZFqHQopDyJWaaBtESPm+w7GhH//EBSEH1CdDVPCeufBu\n",
"gSQhCH6JpN7IUYkNZeIm2ogKhRAArr/+eixatAiHDh1Cf38/8vLyUFZWxnr2YGlpKdav9+8lrKSk\n",
"BK+88gqqqqpw5swZWK1WpKenY/r06S5vjUrEOQjg4dgJjSb6RlAiYlW/pbei2JN3PhZ0HZJaDF5p\n",
"Tc4XtTNfO/GH6EzKcf0+kVGM5w+vFi19KZHLkMmiHd3H/vG4ubirdqskcujjMziHpW7GE4s2aoZ0\n",
"PshB+RBSBiWYbkqFHL69Goiq1iMjIwMLFy7kJa6YmBhccMEFrmMm1AM1OpIjZdtG7WrIWCUYhNl4\n",
"8DYpJ9yVQQA4njlZIknEh2uL+2jZfYLK0eH1DdRGX3yazzU19XaGmAQMBVn5lyuHsqfiIv0JqcXw\n",
"QMlKhj2A7KG2I5U507A/bybrvcHYZNw299mQ4iPkCy01EC6U2/wR/MHvEEkOezBCmVmVgbicsEXR\n",
"SoD3wEyob1SX6nngcaQz8oHLPvvNQIPQuvRzIpInGEoeAHNh3cQrpBZBUPbknS+1CGGzrei7Uovg\n",
"czA9EHobIJdVvPcmX+n3XqjtiD9lEAApgyqDFELCCx5MRnmQIuoR+dgJNaP2gW4w2AY6nJ6TaU0+\n",
"kVEsSLyPzn5AkHgJJ9rH/+j6m7c6yYOnyUCrKeEiRd1pSRkjepqEeNx9yRPoSMzmFHbrOQsEloYj\n",
"InW9e/OVOxkiJ0ghJAiZoSYFRo5OZQKJJENxI+brMbOkFiEivAfXPSHsMeMLIeuke9xSKuGB0naE\n",
"8f4+sXH0bCt2HtSGsfIabK+eFG34h+fMDx5IxchhAkvo7/7a1OsFjZ+IbqLH7igK4OVcHjrbh4hi\n",
"whlSyP08rNbk/LCeU9PEhNxQUs6+MeUaVBRdFnlEbvVEThNF4Si75eO/J4AkRCjwrf7x0Y4LrZIO\n",
"q+TMS+pb5AkphMQoGniYKoY/40aVPWLqTgL+vCP36nlPjmk/A6b+JBDL7z4lOewhFJp/TroSP2j/\n",
"RmoxooZPCy8SPc1w2sJAz8ixWvgbpPGiDMoVjSYs8/zqjEkCCEOECgPgs4LZWDXtRqlFAQC0ktku\n",
"oWDIZJQYRY6jlGjFbvN7S4jP5Pjtr8C883fgI//HrSgV94H5V/mzUJkzPWBod65buCLoHqPhuORI\n",
"xJMtW2VqgnYku0RqESIi3D2dQiP4qh3H9w5FDD5yUojXloP5YjRQnTFJNsog4YtNE4Mn6cxNxUAK\n",
"oYrgpQtyN+uhlT5JoKGEMBzPmISVpTeH/Nzh7KloD+KSfzA2GWa3c9zUQFtyntQiqBbvlpVx/Rct\n",
"ba583lOI9taqsrZArtSlFQUPFAHtSbmCxh8pch8rfJszHSczJkotBsERMhklCCIqqE0bF9ZzVm1M\n",
"UEcm5H5bfbirLHwqat57ld4+92psL7oUGsYBRkNztHIf5ALy2gNJCMeL598htQgBea1E3k5mpDij\n",
"lwgf+lrEKBrAwQDvTVqMvXkzMRTmBmYGwrjyJpxQzoZG9Ky6qBM1fr8tbua424suBQDJlUEl7vfl\n",
"o2yor3QR0cInYy+WWgRCRZBCSHjw1UAcNvPgQS3wPi0iEhwy92qpNjqScgD0SC1G1CLVaoxQ+lF9\n",
"ahG6OZ4npmTC9doo6ueW6X5OgmBDaT2/Gifz1AwphIQH7RZ+ZqkttIciAgI3ov9z6VMiyaEOInXw\n",
"8M/JV/EkCUEALSnhHQMiNGIq3rIZKGo00DCO0B8jPZKQACp2hJDQhgXCxbDFgXXdkZ9zI/dz2QjC\n",
"H9Thyg+pBt/R1Ir9c9Ji7Ms7X2oxJCEc5bQqa7IAkhChwW8Nlav3XyVD3naVBSmEBEEIhoOcZBAR\n",
"ooRBxeqp1+PrvAukFiNs/iOrg9YDf++a9PF4atbdOENecKMeIVeaZbOK7YZVG4t/TLsROwvnSC0K\n",
"J+SYh4R/yGRUVVDlUwNSerDje/C9buIVvMZHRB9KGVS8dN4tmLvrSNBwZG4Y2Ur8E2X3AgDun/Mo\n",
"FnZ8G7EsSphwIAgAaEkpQEtKAT4vmI1Luo9JLU7YKKVNjzZo+p4QAKrsSoOGRAQhDqSA8MeugtlS\n",
"i0BICJ91yXuri9zr6W1zn5NaBEJlkEJIEAR25yvX3I1PaP8rEQldCZkYiEuGVRMjtSjyhuoZ4QUd\n",
"VRU9yF3ZjlbIZJQgCLxUegteKr0Fyxq2SS0KQSiW/730SQBAnqkHl3RXSSyNMhHTpFaKYenqKddK\n",
"kKr8uWHhn0J+JpDpYaROYsisUTgob+UJrRCqCLnMuchFDqUiZWP574k/kixtoaFZSWUi5Z5aFyHK\n",
"EA3nDEZCoJooi+8tINuLLpVaBIIgCB9IISQIIiqgWUkiNGgCQSj649OkFoFQAXxO8tGxE+Kh9kkf\n",
"pUIKIUEQBEEQsoC8sBJcoGJCEPxCCiFBEARB+OA2jU2jT34ovVDwJIZik2Cj80+jAj6tPrwditEq\n",
"FhFtUKtJ8A6Z5kUGjT0JYhSlrhj5M2eL5r2s2vueETyN/zf3Ody44I+wk1IY1egSM0MKfzB7mkCS\n",
"EN44yAuzLCEvowRBEERU08O6p81NcaM5roi476KH0bqXAfbWolykNM8k5wcNQ5OXyibQ5MqnhXNC\n",
"imsoLtkz7uidtyGiFFIICYJQNaEM+miAKD+ENt36pOAivDrtBpY7wiQcjQPN1pQxnMPytYLKNRZy\n",
"JkIQBEEmo6pCNodqy0QM5UIZKATRbKpH+IddGQT25c0UWRLi/7N35/FNlfn+wD8nS5N0b9qme5su\n",
"tFD2su/IKpRFZKkIKqLjMi5cvL/RERlxwRlmHC+D476MoiNeFVFxHC46ioqMqIOACAi0bGUTsLQF\n",
"2tItvz9K0qbZTpKTnCyf9+vly5Kz5Eny5OR8n+X7+BuvCcGNDXiBLWDuSUkUBoQhpJnjsokc4s1D\n",
"sArOz+0XTZzcRZAVv28UzJhUhsINA8IQ8kVqP7mLAABo5Y0AEYWQr5Pc7y3cYujjg5KEN/tzPT13\n",
"KDoDF1U6Sc9J/sMeXiLpcA4hSW5FjwWYdPzfchcjaP2s0+OnOKPcxSAKEPLf9FXEZsldBL+7t+RO\n",
"VAfYAvI3DxWfpVRMD+XLXaZ7UxySkUkQUKuOkrsY5AQz/QYXBoQkub3xuQwIvXB/yZ1yFyEksTU5\n",
"WIXWiINgqYflsdk+Oe82pvcniazLGSN3EciJHfoiuYtAbmD4TkRhgXOaiOT3WK+FcheBSAT+XlB4\n",
"YUBIRCHNneQA9Sqt7wpCRP7D+3kiItEYEBJRWAiWoXrUGT83IvI3XncovDAgJCKiABZaXT3h0jAR\n",
"Hq+SiCg0MKkMEYU8EziHkMifbhuyBAAwrfILt44Ll4CZAh1/Lyi8MCAkopD2eUo//CttIPLPH5O7\n",
"KERh1zCxPmuUW/tL9f6E2/tMROQNBoREFNLMqcm3JzLdPRFRaGDATyQlziEkIiLyEw6JJAp8B2Ky\n",
"5C4CkV8xICQiIvKTOqV/lja5r+ROvzxPoDoXESt3ESiIvZU7Qe4iEPkVA0IiIgpYrSE2NOxQTIZf\n",
"nudAbLZfnidQPdZrodxFICIKGgwIiYgoIH2d1AMVsRy6RdRRrTpS7iLIrjwmU+4iEIUUBoRERBSQ\n",
"Hu9xvdxFIAo4C4Y9JHcRZPd84dVyF4EopDAgJCIiIqKg0aRQyl0EopDCgJB8oiYiSu4iEFEQO8Ah\n",
"YUTkANeZJJIWA0LyiZe7XCV3EYgoiN3X7265i0BERBQWGBASERERUdBgDyGRtBgQEhERUUB4J2es\n",
"3EUgIgo7DAiJiIgoIHyR2k/uIlAQMLGDkEhSDAiJiIiIiIjCFANCIiIiIgoajQq13EUgCikMCImI\n",
"iIgoaFxQc2krIikxICQiIiIiIgpTDAiJiIiIiIjClEruAvhTTU0Ntm/fjurqahgMBpSUlECr1Xp8\n",
"vtOnT2P37t04d+4cVCoVkpOT0b17d8TGxkpYaiIiIiIiIt8Ii4DQZDJh3bp1WLt2LVpbWy2P63Q6\n",
"LFy4ECNHjnTrfM3NzXjppZewadMmm20qlQozZ87E1Vdf7XW5iYiIiIiIfCksAsLVq1djw4YNSElJ\n",
"wfTp02EwGFBRUYH169fj6aefRmNjI8aNGyf6fK+//jo2bdqEtLQ0lJaWIjU1FbW1tfj666/x3Xff\n",
"4a233kJ6ejoGDx7sw1dFRERERETknZAPCL///nts2LABer0ey5cvtwzn7NmzJ0pKSrBkyRK88sor\n",
"KC4uRnp6usvzNTY24l//+hcUCgWWLVuGhIQEy7Zhw4bhb3/7GzZu3IiPPvqIASEREREREQW0kE8q\n",
"s2bNGgDA7Nmzbeb2ZWdno7S0FM3NzXj77bdFnU+hUODBBx/E8uXLrYJBs9GjRwMAjhw54l3BiYiI\n",
"iIiIfCykA8KjR4+isrISGo0Gw4cPt7vP2LFjAQDbtm1DQ0ODy3OqVCoUFRUhPz/f7vampiYAgFrN\n",
"RVOJiIiIiCiwhXRAuHfvXgBAYWEhIiIi7O5jMBhgMBjQ2NiIQ4cOef2cW7ZsAQDk5OR4fS4iIiIi\n",
"IiJfCumAsLKyEkDb0FBnsrKyrPb31NatW7Fx40YAcCtJDRERERERkRxCOqlMdXU1ACApKcnpfsnJ\n",
"yQCA2tpaj5/riy++wHPPPQcAGDNmDIYOHerxuYiIiIiIiPwhpANC85xAV4vPm7fX19e7/Rwmkwnv\n",
"vPMO3n33XQDA1KlTMX/+fLfPQ0RERERE5G8hHRAKgiBqP5PJ5Nb+Zg0NDXjyySexbds2RERE4Oab\n",
"b8aoUaPcLicREREREZEcQjogNPf8ucoeKrYnsaO6ujosX74cFRUV0Ov1uPfee5Gbm+t5YYmIiIiI\n",
"iPwspAPC+Ph4AMDZs2ed7mfebt5fjCeffBIVFRXIzs7GkiVL7K5JKFZTU5NluYrOBEGATqfz+NxE\n",
"REREROQb9fX1ltGG9qjV6oBfji6kA0JzdtHDhw873c+8iLyrbKRmW7duxfbt26HX63H//fd7FQwC\n",
"wHvvvYe1a9fa3abX6y3JaoiIiIiIKHAsXrwYVVVVDrfPmjULc+bM8WOJ3BfSAZAPR80AACAASURB\n",
"VGFxcTEA4MCBA6ivr7fb03bixAmcPXsWWq0WRqNR1HnfeecdAMDNN98MvV7vdTlnzJiBKVOm2N3m\n",
"7rxGIiIiIiLyj5UrV7rsIQx0IR0QZmRkwGg04vDhw/j8888xadIkm30+/vhjAMCAAQMcLl7f0f79\n",
"+3Hs2DFkZmaiX79+kpQzGLqSiYiIiIjIWihM7QrphekBYO7cuQCAdevW4dy5c1bbKioqsHHjRqhU\n",
"KsyaNcvy+O7du1FWVoaysjI888wzVseUl5cDAPLy8nxcciIiIiIiIt8K6R5CAOjTpw8mTZqEDRs2\n",
"YOnSpZgxYwYMBgPKy8uxfv16tLa24qabbkJqaqqo8128eBEA8OOPP+LRRx91uu/06dPRq1cvr18D\n",
"ERERERGRL4R8QAgACxYsQExMDN599128+OKLlsd1Oh3uuOMOjBw50mp/MfP2qqqqnE4gBWBzXiIi\n",
"IiIiokAimJzNggwxNTU12L59O2pqapCcnIySkhK31h6UW+mzW3D6wiW5i0FEREREFLYM0Rp8dPsw\n",
"uYshmbDoITSLi4vD6NGj5S4GERERERFRQAj5pDJERERERERkHwNCIiIiIiKiMMWAkIiIiIiIKEwx\n",
"ICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJiIiIiIjC\n",
"FANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWAkIiIiIiI\n",
"KEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJiIiI\n",
"iIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWAkIiI\n",
"iIiIKEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJ\n",
"iIiIiIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWA\n",
"kIiIiIiIKEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpT\n",
"DAiJiIiIiIjCFANCIiIiIiKiMMWAkIiIiIiIKEwxICQiIiIiIgpTDAiJiIiIiIjCFANCIiIiIiKi\n",
"MMWAkIiIiIiIKEwxICQiIiIiIgpTKrkLIKeamhps374d1dXVMBgMKCkpgVarlbtYREREREREfhGW\n",
"AaHJZMK6deuwdu1atLa2Wh7X6XRYuHAhRo4c6dF5T548iXXr1mHz5s0wmUxYtmwZiouLpSo2ERER\n",
"ERGRpMIyIFy9ejU2bNiAlJQUTJ8+HQaDARUVFVi/fj2efvppNDY2Yty4caLPd+nSJbz44ov46quv\n",
"YDKZfFhyIiIiIiIi6YRdQPj9999jw4YN0Ov1WL58OWJjYwEAPXv2RElJCZYsWYJXXnkFxcXFSE9P\n",
"F3XOmpoabN68GTqdDqNHj8bu3btx9OhRX74MIiIiIiIir4VdUpk1a9YAAGbPnm0JBs2ys7NRWlqK\n",
"5uZmvP3226LPqdVqcf311+O5557DggULEBUVJWmZiYiIiIiIfCGsAsKjR4+isrISGo0Gw4cPt7vP\n",
"2LFjAQDbtm1DQ0ODqPPGxsaitLSUCWmIiIiIiCiohFVAuHfvXgBAYWEhIiIi7O5jMBhgMBjQ2NiI\n",
"Q4cO+bN4REREREREfhVWAWFlZSWAtqGhzmRlZVntT0REREREFIrCKiCsrq4GACQlJTndLzk5GQBQ\n",
"W1vr8zIRERERERHJJawCQvOcQFdz/czb6+vrfV4mIiIiIiIiuYRVQCgIgqj9zGsJit2fiIiIiIgo\n",
"GIVVQGju+XOVPVRsTyIREREREVEwC6uF6ePj4wEAZ8+edbqfebt5f19rampCU1OT3W2CIECn0/ml\n",
"HEREREREJF59fb1ldKE9arUaarXajyVyX1gFhObsoocPH3a635EjR6z297X33nsPa9eutbtNr9fj\n",
"ueee80s5iIiIiIhIvMWLF6Oqqsrh9lmzZmHOnDl+LJH7wiogLC4uBgAcOHAA9fX1dnveTpw4gbNn\n",
"z0Kr1cJoNPqlXDNmzMCUKVPsbuM8Rgp2SQ3ncFabIHcxiIiIiCS3cuVKlz2EgS6sAsKMjAwYjUYc\n",
"PnwYn3/+OSZNmmSzz8cffwwAGDBggMPF66UWDF3JRERERERkLRSmdoVVUhkAmDt3LgBg3bp1OHfu\n",
"nNW2iooKbNy4ESqVCrNmzbI8vnv3bpSVlaGsrAzPPPOMX8tLRERERETkK2HVQwgAffr0waRJk7Bh\n",
"wwYsXboUM2bMgMFgQHl5OdavX4/W1lbcdNNNSE1NlbuoRCHBBA57JiIiIgpUYRcQAsCCBQsQExOD\n",
"d999Fy+++KLlcZ1OhzvuuAMjR4602t/deXyc90fUzsSvAxEREVHAEkzOZkGGuJqaGmzfvh01NTVI\n",
"Tk5GSUlJQK89WPrsFpy+cEnuYhC5RX+pBlWaOLmLQURERCQJQ7QGH90+TO5iSCYsewjN4uLiMHr0\n",
"aLmLQUREREREJIuwSypDRP7FOYREREREgYsBIRERERERUZhiQEhERERERBSmGBASkU+FbdYqIiIi\n",
"oiDAgJCIiIiIiChMMSAkIt/iupxEREREAYsBIRH5FIeMEhEREQUuBoRE5FuR0XKXgIiIyKniZJ3c\n",
"RSCSDQNCIvItpUruEhARETn10JgsuYtAJBsGhERERERhZnRurNxFkNXgM7us/q1R8ZaYwhdrP3nk\n",
"se+flrsIFCQ4h5DCSZFeI3cRiETRKMP7FjCitUnuIhAFjPC+GpDHutUekbsIREQBZ0JhgtxFICIi\n",
"cgsDQiLyKfYQ+l5OPHuliMyuOfSx3EWgICCY+OtEZMaAkHzuoZ0vyl0EkhN/dH3ukbFMhkBkNv7k\n",
"VrmLQEQUVBgQEnlA1drs9Tke/88qCUpCBAhyF4As+FnIz8RPgYjILQwIyWNjT34rar9Q/GkukmAO\n",
"Zf6F45idGYrvjrVA6x+MbzwvdxEohAlC6H+niUKBEHC/TkTyYUBIHkup/0XUfuF2yXUnc5lJofRh\n",
"SQJDUVLgLPY7LvoiFpavl7sYQWtyYTwmFsTLXQwip3ijL05Zz0S5iyArNt0QtWNASH4QuD/OClOr\n",
"R8cJTl7Sw+VvijvH6ElATJxHzx9MeqdGyV0EAMDioWm4I6kag878KHdRJOevG5tbB6RCreRtFFEo\n",
"SIxUy10ESegvVXt2IOe3E1kwIAxhZcy05lK3mkOSn7Po4gms+/xel/sp5t3OFkoZqE0teOfz++Qu\n",
"RtCKCJOAcFh2jEfHhce7QxQ47t+12qPj+F0laseAMIRJMc+NfIvtk/JQwiRJYqCA4cd5aypFeNxG\n",
"efrd5BRC6WQnRMpdBAphgs62fg3ICIwRLUT+xoCQfI73RxQwOlTGP3z/NHpX7Zf8KX4zPN3yt7+C\n",
"Tn9+xxJ0Kj8+G4WzVg7pIx8SSobYPLZkVCZevbpAhtIQyYsBIXmmRz+5SyAJZ3MB/fL88j59WMu/\n",
"cBzLfnhJ8vMaokJjXo4j4/NDf94rBYaWVs8v0D3OlUtYEvmV/PKT3EUIOfYyAisEAZFq3hpT+GGt\n",
"J8+o/NNLsNQHN+wdmXwSkYm/iQn29u/bBqTIXQT3BPsbHgDUyvD42QiTkbGi/HZkhizP2+JFD+HD\n",
"O1+QsCSBgBcvR4wXTnh0nKPh3Rz2TeEoPH7Zw5RvU2/754pZUrUfWRdP+eW55GAK8iFR+iAaPhjK\n",
"v/Gh/NrkogjCu8KRObE+Oa9c74Q3PYQCAIWpRbKy9DDocKsPGsByEzSi9pty7CvJnztUKD281xF4\n",
"5fSbkl/2yl0EcoEBIQU0YehYj5eGEHV+T+83EqRZvym4w0EgQhW8lxBh+Hgo7vqd9OeV4x4jjO5r\n",
"5vZK8ui47tUVGJIq7uYb8LyHUNaPwk9Pnhjpn4YgbwJCR96/tsij48YXxGNyYYJHx/Y/u8fu4wMz\n",
"o/HHCTmiztHlfKVHz00UCAad3S13EciF4L2bo+DhYS9YrEYJxY2LAG0AZppLSbf7cFqMGu7clfng\n",
"fseveqcG4GfjTIePRph5A4ReA+Qri4SkigOmFnl2w+tPxngNPpjX1e3jNC1NmNTdIHp/Dhm19sjY\n",
"LMRqlDDGa/DImCy5i+Mxe/PGfO3mA+/jyW//jLfKCjEwM9ryeH6CFhqxjWpB/ltBoeNaDxvlKLAx\n",
"ICS/imhpFL2vv9Lbd8wEmRMnvgfB7rncLHOwZ9ETM6zOFGZ3Mh2HIfl22Lb0Bmd5tvaeP3lzVXDn\n",
"66ZTKz16DjkCDn/onRqF12d1warSXGR6eZ0Uy+OlP0zW/5ebAiZk1p2GVqXwOOlUsF1LgkFOvHT1\n",
"OKX+F8nOFejKerofEApBfq8TDhgQBrE5hz+Ruwhuc+dWyV+Xj45DUlNjpMgQ6UZSGV4j/csP77cc\n",
"8UCIxiD2+em1Tu/qWW+p2suGrJv6ie/F9BfZqpenF8h893uQZREA39sV47PlLgKWj8tCogzz0ft3\n",
"WHMwTuNZAxAATK38EvMPbpCiSAGv1MO5rCYZf6Rem8llRMRgQBjEXLW4CCZg/ImtviyB20ckNNb6\n",
"oBze6fgqOr+jsw//C8+d/z/R53L3/sV3syPJ16Rajy+Q1vULgPtTG4WJWnRJ1Fr+nRTpWaONu6FF\n",
"jIc3iD1SvBtGHa/1oj74qsFDporh6ZB64bb7AABxTRckLI0PuPH6fPURGKKlWyYnvvG8y32uLtbb\n",
"PFacHIm/BdDaf+6+19cd/Cd0LZd8UpZAc1Oxh6NIktOkLYgbuIyIOHyXQtzt+9fh9n1r5S1ESgYW\n",
"DUlDzoWTuO/H1Q53e+I/K/1YKHHmHv4YBlO9z84fCFlGHSU8CEkS3lVlxUa4fAoxQ9buG25/PqoU\n",
"oiT8IUzQig+Qhp7eid/t9H7JmHtHpOPxK43485VG3DU4FTf1MyBfr3V9oIfG5cehT2okbumfgkgP\n",
"h4xqVYEYVovnr4Qx3uod6/jLJSjaPrsHdv3NX8WxWPf5vU63e1475P+tcEXMd77AzvfXnc6jWC96\n",
"8nxF9dx7UNy9TO5iYKTRN1mGO1JOLfPoOMWkmRKXxB3BfU32FwaEYUApYeptCze+X4ppczEmLw4r\n",
"/7MSORd/xpovH8CsI5+KP97LH8KcWOctoJ7MzRDz8sUslzHcR2ni3REMc1NenpHv9Tmkntt1dXf7\n",
"mWbdfhof/lZJ+clmOAiA7dG0NkHTKn6+sBjj8uMxratt74IU0mPU+MP4bNw1OA0Pj81GqZvJdf4y\n",
"2YjiZB2WXZEJtVKBYdkyzcWUoC4FQBuVhbOiPNzVSUB4+f+5F06iR80hScvkLatSu/F5hcocLG8v\n",
"w1I2olotO9Hhz2BccgYAipN1cheBghgDwhAS1VRn9W/zjb7vJtaLPHFsvNU/ta1NKKo5IvpZipq9\n",
"m6y94kqj6H3t/dYIUW7e3F1+vV1rDrvctbshEg+PycJvtRXuPYeH7K15FegBYXGyzuNhgr6kVQl4\n",
"c04Xm8cFALMuB4v37l6NeS7mlkixlqOc62nN6KZHYZJveu389aqenZaPYoPnQz1zE7T4w4QclKS3\n",
"ZZD8jRe9vr7uoZviItg1AShKsr6xzPZREpn3ri3C70ZnOi5LiARBJglqsjdn+NuMfLcaYZ3xdtSB\n",
"tw1zniZ7cqVjqZQKAfePzMCEgjh06xBkebrkjStZceIb2xyZ3T3RrQbmYFgxKl6rxKrJRrmLETaC\n",
"oEqQI50vq0sdDI8pqhUffHlXAhd7z14IGLtAmHi1uAMu3wx420PocuiXs9PnFkKYcZ1bz6e45TcA\n",
"xL87fdKiMLj0Creew1N217zy8T2XvXu6oiQtfjc6E31q/BMItxdG2tPZq1sKQcB1fZLxVlkhSqr2\n",
"Y+bRTViz/1mH50iJ9v5mwNE9ltv3084qrYMnMSZo8Ocrc5Ee1yEodPOJFw9Nw6LcFsQ2WzdqSfpx\n",
"pfsveYY3N73dvQhMO3vh68dsHvtV/xRMLIi3s3cbk8mEB0dn4r+GpGHZFZl4ZGwW0mK8r6OddUvW\n",
"QSEIPlneQ6mw3/Pja64afzpzr2iefxsSI9W49tBGj4+XphRtdHYiEXfeh7Ke0qwB7KoMg7NicMeg\n",
"NKyYkIMP5nXFB/O64hoPsmsuGZnhcp8HRmVi8VDP59ipWpsxv0+y6P3fmN0Fr1xt25jpTFSEAtMc\n",
"JNp6bJz719bl41wvXWNM0CJLgsaoIO3w9TsGhCFE12x/UnN6/Vk8vON53Fi+3s8lsqaYcBWUDzwB\n",
"xawFEK6YZLPdUSuqb7/Lzn/elEv+DCEmzq0zCqmZIs7c6RhtpKQTn5UO3jRBAPqmRdnf6EdKQUD/\n",
"jGg8WP6/Lvd1533sfemE54WSyuX3Xtvhxkdrara7a5KI3qAndjkOJs00SgHFyTqvMuW5kmend9mZ\n",
"5IZqm8fuG5GO8XENePLbx9Hz3AHc1DUSKycZMcoYizFDu6NPQapUxbWlTw7wvnDzOqbAmDxphpIn\n",
"Xapx+xiTCYjWKHFFXhxK0qPRO9U314uIyxcpscHzVd06DRfu1Ojw1JRcAEBqtNoqIVB23WnL3/ZG\n",
"SEgpsrnBZ+cOhntaMaNNenm5dm1MhHTXOKuq52XU0DM10qZ3/w/jszEoK8bluqlpMREYnevefYY3\n",
"oiOU0Di6Sbjslv4plr/n9EjE6zO74KZ+7Y89Ny0PPVMi8dcpuR4l0uohsuGLwZz/MCAMEVMrv0R2\n",
"3c8Ot/esrsBUD9MFe+LBnS9a/u48/AiAuLt8Wa4E8t0yStlSvmiI49bGzg203vbABpJl5z5zvoOE\n",
"77GjYZpSX1Rz637GQztecF4WQcBj47Px8owC3DVYfFB1z+43bB67oW97S/OYvDjM6p6IqV0TcG0v\n",
"5y3QHefdCACSL9kGhEOzY3FH6gVk1p3BwztfxFSjDnl6rWxr96VGq/HM1DxZntue1Mu9xbcNSMU9\n",
"Q9Nw9+BUTC503JvnC/7KfCx0+r897nQ0p8dE4IN5XfH8dOv5xtce+wy5CRrEaJRYMtLx8FRX3Kmh\n",
"WhkzTr58lW/rs9NBBNfd6fJ4e/Pz3PkF6rzvjdGn7e7nT4IARCgVeH5aPtbNLcLbZYX4YF5Xq2Ho\n",
"du+DZOTOez6nR5J1rzvagtjl47J9NpzcTIpfBsaU4jAgDBE3VvxD0vPdfm6LV8cnN1TjtZkFeHNO\n",
"F2g8Hazup/kjUs6h63imQLwI2S9TcASEtw9Mcb2Tj/zezlpdjmIYXwQ3PaorUPLLTxh0Zhf6p0fZ\n",
"zfipEASolQLG5bcHEK4+2eFndto8NqObHvcMTcOqyUYsGpKG6/ok4+Z+KdC56MFePqW75e9rDn/s\n",
"4pkvc/VW+bhq3jEo1WmynD9faWeItY/0S4/CnZeDeY1KgVG5cRibH+9xttOO66u6o4+XPTiiifie\n",
"tHaoAJ5+qyJbG/GXybn4+6wuDpdYcGcO1+qZBVg5yYg/TsjBkKxou/t0Xn5Bit8YsUllkqKkH97b\n",
"kbNSCHmFHp3TnSQunZ+/W4TnWcA79uhJcdVWKwUoFYLde57fj8+WJDmaPYGeB8CRfukuRh+YTD5r\n",
"LFT5Yqx6kGNAGMR8dQl46d+PYnx9ufOdXHxJTQIQp1V5fDMjFfONvPjEHaFxkXCxQqXVv+IaL/qy\n",
"KPZL4MbbbL4PurJLAl6Ynocbyz/0TaGc0LrRqOGL3xkFTFi662+4b/fr+N0VWbh/lOc9HZ39cdtf\n",
"LX8LaAtoR+XGwZggLlGM+eV2T4vFu3O74t25RR4NVfQ1T66XXRL916r/4BVZEidP8uwX4rYBvhm2\n",
"O61rAq7IbR8KK+Yb1TEGEoT2AP3WAdI2Dj01RXyvWrxWhTy9Fl2TdVAr7b8KZ0lkAu0XRsr7CDlf\n",
"W+75424fI1U2UTFnUSkEu9/vm/sZvH5+c32T8v33x6CNyYXuZXP2RmaHhj+VQsC7c4v89tzBggEh\n",
"2dCLWFw2EC3Z9Qp+8+NrVo+Z0zCvKs1FTpwGC1Ot53jYLlzs+ufx2QAaYuY+AZ1f4/TKL+QpigdS\n",
"oiNQeuwrTDz+tdxFcfjjG0g3fMlRrhtCOvYkeXsToFYKAd3yKmfWSgHWNyVixWg8+5l2ll16Ypf2\n",
"XuSOc5czYyMQ7aN5qDOLEzEgs71HzVzX3KlzXRJ1+GBeV7/eSErN01EkwdoL5K27Ow+B7/Q2ZKna\n",
"hufe9+NqjMyJwe89SHACyHfdnuAkwZMvuRyc4ePq5mnP38ISA+Ivj5AZmRNrWdfyoTHOk9QsvZzN\n",
"WK0QgvwezneCYwVasmvE6R14K3cCopvs9/AUnD/m9jnHnPwOACAMvgI46nnZXC11IaRnA1VNVo8l\n",
"NNZa/dt8CiElHRDR4dD/l73YF2v/xyBWo8STU3Jh2vkt/naqveej7PC/8L3e+YTvztI9uKnzhsLU\n",
"ilbBd203Ea1NrneyY57IFNze/q50Pl5R2B237n8PGzOG2OwrDL4COOz4XEJeUfv5NJ73/kRHKBwu\n",
"kG71O6eLBOrrIIyYANiZ6iJqKu3YqTD94y23yveb4en48KdzuGtIKu740Pk6bMaLJ9ElUYtWk8mj\n",
"HjG3f9hzCtr/jrJOntI5mBTbgj/p2BZsyBwGAMjXa1DT0IKzddaJfAoTfbegvStrrylCq8mEMxeb\n",
"cMc/3FsXb3JhAl75/oy4nTv2qNmpXWU92hKz5Ou1eH5aHuqaWvHNsfP4313eLe0jimD/n4HbfOCa\n",
"40Yhae+mf7vrVag8HAIcrB6fmGNZAuXJrY7X9NUKJpgAGC5V456hqRAUHjZoeFER3bkGTi6Mxz/3\n",
"t82vjlIroHaR3CUQyJbY5fITvzG7C85ebIJWpUBqTASmd04wddkH87pi+hs/2d2WdnmOsTODMqPx\n",
"zbHOnQTWHhiVgYZmE1pNJrzxQ5WIFxE8GBAGMcOti/BqWho09y+02Tbj6Cbo3JzYHtlcj18deB8A\n",
"IAwbBxzd73BfxYgJEC7ogQrPJs8rklMAtAesS0emI7HXPcAPtvsKqZlAzTmH5xpljMX491aIe+Lc\n",
"LsCP7cl3MutOSzuH0Aetaq9/9SD+91dP48OfHL8HYsth78KuuOm/gb3ul2vO5RTcEUoBjS2evXBh\n",
"Shlw0tVe1udW3LkU2LcLvc9qsfNn6x5fYcgVwGHH9VZIzYTit38CtJEQ1J4Nz1s8NA2jjLEObwIS\n",
"OgxPVix/FjhSAXTvC7x5wKPnE0rLIBgLYWqog9Clu8v9AWB4TqzDNan6p+rwn1P1lqzDyt4D8PjE\n",
"tqF4ks3XyC0EDtn/HITkVCjufxzQaCForBMSzO+dhO0nL+JcfTOy4yLQP8P+HK3ObipfjytPfA3F\n",
"3Q8iKy8LgiDgwx3H8dLu9tEOs7onYvfpOidn8Z22mz7Bo5vOCKUC71/bNrzp6W9O4ZMKJ61jHVdb\n",
"UNg2Il3bu314WurlpSS+dXED5Cti6prVkNHOGzNygO+cNHrmFQEH90GYeo3Nplv6p+CF/zhOwmaP\n",
"vfI6XO5F7ActcreBv+wRt6PEdCoF6putA9Eru8Rj3R7HN8I39EnG6h0iGzCciNEo7S53YvJRT2mB\n",
"gwY+qd3SPwUzuyciQqmARilIMmzVk3uYoOhvvnwBiI5QItqL7LJSBrRREUoMzGybZ82AkAJHUU8k\n",
"qBQwPfpXtD5wm9WmqCb3J1pPrdwMTWsTkJFj92aiI6FHP+DHswCkyaY2ICsWyOoP/NDeumNOS+7q\n",
"R/OeYeloefVw2z+ynU/aFmITADi+EZBzHWRHL1PX0ijx2O5Oz9S1J7DXz+sBmktyRSmwZp97x+gi\n",
"gT6DMOvURez8udJ6m4t6CwBCvnUr4cISA/72vfhMdQpBcHgz2ys1EhEd5hUJsQlAz/6iz22PoFIB\n",
"vQdYfWre1NPfjW0L/kynY2E6MgRC3yFuB4IJWiXONbQAaFtTsjPFfz8GnDgC/Nt+r4aQZ3/+RmKk\n",
"Gq90SLzgrFxrZnfBR/vOYWKXeKimvIqcugsQ0tqHDU3tk4GXdrdfTzxObuUl6yXxPLsz8SRQF5TK\n",
"tsaPrc73G5gZjTd3nQUATHWwzpgUBMDqLtT8vjh7aR1v/ju/B0KU88YCxT3L2+qg0Xa9tdKiBHy4\n",
"rwonz3s2OsJSBq+OlsZLV+Xj5vd9f/1+dGwWzje2YEBGtNOAMF70fH3nHL23GbHOslq6/4ksHpqG\n",
"T8qrsaCv93P5xBAE+3MJgbZhjw99Vml3mz90bNyNivD99TIQvj/UjnMIQ4BgSJe7CJJ5YXr72G7z\n",
"DZxbFw2D54u7SuG6Pu4vXCuGVD03bWeRNur1JjgR87oGZ8Z4/gQiTOuagFWTjZZeMnvi7WT1tEev\n",
"dXwzpL58B9wxQMiN923KbgAO17cUDOlQDBjRFnC66akpebhzUCr+Z5IRKdG2rfiCRgMh1zrjoJgF\n",
"moG2OiE4CbrNoiKUmNMzCXFaFYS4BKtg0Fc6rhu57Iq2OSmzujtfKHtAh15Ob3s3UhxkybRHgG3j\n",
"hz15ei2Wj8vC/xuW7tV8puldE/C70ZlW13Cn5bO09zn+nJ+Y0cvy95Qi58Fq5+piroOO6pGrK8+w\n",
"7BgMyWq/9thba82Ty7K9GjBDd9b9E12WHGVbJ5JFrG/qrl6pURiWHWu5jvnTignZGJYdg3uHpyNH\n",
"4mvm6Nw4PDY+R/RUkI7r80mtb1qUZTSAJ7wdfvqH8TkoTtbh4TFZGJETi0GZ0bi6WC/JvHDzGqvB\n",
"TuMgkVQoYA9hEHP2He08H89bhYla7P/Fd4vumtm7uXTnFioP7cOfxN7Ee8LeW//AqAwM7BC8iE0T\n",
"Huri7QRJ9j5noO2ma+moTGw5WguTCVAqBIw02h/6KNW7KwgCjAla1DZYzzm7sks85vVORpRagZpL\n",
"LaLO5SitPdCWIXHt7l8ws3siqhtasOlgDW4scd4q3d9VWm4RnpqSi4XvECot+gAAIABJREFUSduD\n",
"EK1RYrybwcOgLN8G9mJ0/kq6e0P/1ym5uG39QUwpTEBJerTTOSl/nZKLfx89j1IJE6BM76bHe3ur\n",
"cLGxFZO6xGPDAeu1HnUdekFj3UgO0zPF+3oWq1Whf0Y0mlvtfzM7v9Vi5hAOyU3E/5YVQgH/9/Dm\n",
"6bWY0U2PPWfqkBodYTdTtaPeqtwLJ/CzznlDQUfzI88gfftneLrrHI/KunhoGlb+u33s/fCcWLy3\n",
"17YX74n/rMS/UgeiadRkDMx0PRx75WQj/vv/DoteRNxXuiVHoluyvGUwKy1KQL5ei/s+PuKT83vT\n",
"+KtRKXBdn2S8sfMMnpmah9vWH3Tr+IJELf4wob1hdImE2ayluMZ4SoomjJ4pkUiJViNf7/tGXLkw\n",
"IAxCE49/jbQp0+ymvL7pwAc4euX1GPn5dkmf8/ErjXjuTy9jQ8Ywy2NDs2Lwxk7PWzZd8eRLHCGY\n",
"8FZZIS42tiBWo7J7cf37rC54cutJTMvRAJ9bb/MmyEh1EOSItbBfClZ9bX9CnZgGurfKCvHZwRqM\n",
"z4/D5iPiM8V68pod9TrZM8oYi68rz1vNVXIUCMVplNCpFVZr6fmNnboi5qb60bFZ+N2nlShO1jnt\n",
"LTImaPH/hrf3kvVNc/4D+eL0fKt1sjyVKOlSBuEtUq3EazNthyDakx2nQXZPaW8eIpQKrJnd1vN6\n",
"sbHFJiCc2jUBG8vbHntgtHQ3c2KYvz3OrlUd54T+ytzT4uLaFqlW+iU7bF6CBgfPtU+ByIiNgFIh\n",
"OL2Rnd41Aa/bmS93y/51qIw04HhU22vUtjRattl7uQoBGHvqPx4HhKNz4zAiJ9ayePi1vZOQGqPG\n",
"L3XNGJrd3hCTe+EkflX+AZT33WR5zNFbe0PfZKTFRGD11QWSZw7uOM/Q0dw9bwbF/M8kI1b++wQq\n",
"axpd7+yBrsmBtcj8iJ93AOgJoG3EgrPfIfNH6Y9cNqNzY3Go6hLuGuKbpWzsGWmMxZeHpe0QAYDl\n",
"HmavDSYMCIPQrQfeg7L4RrvbSo9vgXLwfWh52YNJxi6uwPMP/h90zZfQL6oRQFdkxvmnpcTd65ZW\n",
"pXC6blyMRokHRmXCdPE8WuG7nrz+v+y1mwnTkTF5cchN0CBSrcAtH7jXsge0vW5X6djF/Mj+bnQm\n",
"Hv3cNllDboIGU4oS8Or2M7hrkPgLvFIhYNHgNMxb25ZU5a7BqW71XkjF5Ut3Ug/itUokRqpQ09Bs\n",
"s5hur9Qol9nLXFk0JM2qMSBSrXDa20ieKQqwGzmpRaoVNnVxSlEC/rHvnN+SZigEAX+amIO9Z+qs\n",
"sqMqLi/Ybc646tGUAB9aOjoT6386h0i1AoIADBbRg6ZWKjC/dxL+3qlhNL7pIv763RP4MHMEopvq\n",
"EN3cPqff02UnXFF2CNoilApc2cW7nmnz0FBHay16Y0axHkOzY6BUCFZJuKSSr9di8dB03LPhsOTn\n",
"DkS37l8H4DpR+74+q61BS61UYGrXBLeS1bnj/+17EyPmPex0H19kL/31wFTsPHnRalSP2F7XcB/T\n",
"FbqDYUlyupZLmH/o/9CtUXwCjmCg6Ji4QMLzllT9hN/tfMmtY3ITtPbnZElVKBH6pkU5nCcxLj8e\n",
"r88sCIjhf3FuBpVdvFh2QCEIeH5aPt6YXYgoL7KdOTIs2/r9dNVGEdGhedfd9yGcRUcoZWmMkNOv\n",
"+qdg3dwiPDHJ6NPn6XiNKkrS4apuiVg1ue05I9UKS5ZAtVKwGv7p6NrmbgDrQdodq38lRqpxY4kB\n",
"ZT2TMKdHkiTztqce24wrft4mfv/KL71+zmAgCAJSYyKQHKV22PvobfbNVh/3Kt87vC13w5we4ocG\n",
"+8Kcw59AbRI3pQGAVbbOm/tJNx/y8Yk5mNcrCff++BoWlH+IIXYy4/5+fFsvW3eDuIY5Tz5BnVqB\n",
"sflxHhxJ7CEkW64uxFKkSZZtYZuO2srw2x9X44G+vwYA3NQvBaVFjfjDl8dxXZ9kr8/e99x+5Os1\n",
"qKjyLhurq/drSFbngELcPJ62fW0fKy1KwLDsGNywrtztsviLMUGL63on42xdE5pbTSh1kHTi6Sm5\n",
"aGg2WdLsO+Lqx0etFKAOkP6M3IT23vk/X2mUryBBKEajRK3IOaGBzN6NtM7BUG6lDIlAgLbvqMve\n",
"805Fe2F6HppaTEiNCd25OmbtCXXarj43VvwDc++5CWqlgNn/63j5HCnFOZhrX5jk/970jlk2k5wM\n",
"l192RSb+8vVJ3FRiACo6Zqluv4r7epTxsJxYfOBgaZ9AMTYvDp8ebF+mRuqEPB0VJulQmKRDy9kf\n",
"2x6IsH2u7oZIr0fTiDE0O8ZpJlyyjwFhEJlz+BNkH9khdzH8xvxj6etbmW41h/FOdiUUw8ZBpRCQ\n",
"HhuBN+cUSjZv4k8TjahpaMY/91dj7W7PFoB2VZJ7R0iXadZ88yhV+nBfmiWiddZfQ5ul5LpNRvDL\n",
"D2uo83QZCE8l6tqHAWfGRuBYredznDQqBW4sScYr359BvFaJRUPSEKmWsffTw7ey82dgHiHh64Yn\n",
"qU4/sSDeMmR0xGnvf5+djUDITdDgUId5joYo76/REUoFXroqHxVVDeiapMPZumacq29GkYcBoTfz\n",
"Pc1ZNl199iXp0Vh9dQEEQUBrhf19g3n4X2q0GqcutC+J0i1Zh71n7C8lFtfoeB3RWwekoF9GFLom\n",
"6fDT2Xr0sjMfNk6rRE1Di81UCH+b2ysJb/4gTU6KLok6rJxkRM2lFmTFic/tEO55AAP/jo8sxp/8\n",
"Fi3nA2C4pohf0tgmeRY7dkuHl6GCCYoOAWDnYNDccmke6TQuPw4//Gy9yHWqg7TKKoWAxEg1kr34\n",
"8Xb1lnceXmPvurZqslG23r1guM7K2fcnddIGahN7uTewYwIfOXsHdWoFVk02YvvJi5hUmICyt7zr\n",
"BbqqWyKu6ibPkLUCvRblVe2Zp5UeXlukuiTJdW2L1aqwuvUL4N+fWc0V9IWlozPxj5/OoUdKJHb9\n",
"XIfJhdIk30qOUluWr3DVECgIAgZnRWNr5QUIkP7aLvZzdLVfMN/cr5iQg/8cv4A8vRZHqi9Bp1Jg\n",
"75njANrWur0iN84y53z8yW8cnkejUmBYdlsv5rBs+/cnT1xpxNeV5zEmV95hlhl2RvD0SfU8SM0T\n",
"MeS8tCgBH+3zzRzKYMSAMIgIBd2AX05DmDjDdtvYqTB9+iHQo6TtgeI+wJ4dQLweqBbZda5tS+ss\n",
"jJlif3tkFFB3EcLIiTabeqZEYqQxFhe+/BTGn7YgduBQ56+lw9/3uejdcnThL0zU4p5h1scK/YbZ\n",
"3dcuTXsLqFDUw+mufdOsE4eMNMYiMVKNzLgIKAQBSgFWC5KjSzFwYA+EybPFl8cRXZTdm6aHxmSh\n",
"4pcGDM8RN5/PmOCbpBLu/u46+xnvPJfOn+S8f1AqBKtkPq4ykLrrgVEZeH3HGdw20H/Z3gLB/0wy\n",
"YsvRWozNa79xPt8hIDQm+L/32Jig9dl30Z/+ODEH6/dWWbJFji/w7IZS5+flJHwhFs0wSRwMrpps\n",
"xKJ/Hsa8gxssjyVFqrHgcobmjhlb/e3+kW0ZbD/YW4W/fd/eSB3jYn6uP0P2AJnZ4JEEncqyrE++\n",
"Xotvj7VnDVegLQHdmLw4tNwy3evINzlKjWld9V6dQwo58Rr0SYvCjpMXAQDzeidhqo/LdUv/FHxW\n",
"UYP65lafPk+wYEAYRIQbF0ExYiJQ0M1226wbIfQdAuS2ZZBS/PoB4PABIL9r2/9TM4BzvwBfOp7L\n",
"Joy+EoppQ9qOsUPx2PPAqeN2t+cmaDChIB6mnGnAwUKH5zDrmqyDQmhLjjEgwzoIMLc+LuznfI22\n",
"YTkxSLvcqqT482rg3FkIRnEp4QFAUCqhWPESUH8RgsG9IZeCINhdqNhMsegh4HC53c9KDPOQkSsN\n",
"Jih+/zyEg7afW9+0KEkCB7G/J85er8vncLLt+Wl5+PF0HRIj1eiTGhhrTcmhf0Y0Vk024t+V5zGt\n",
"SNofwoGZMVZrZPrLzGI93t1T5VXd8UZylNppD1q0DxIEhQuVQsDV3RNxVXFbXfU0CUh2vMaSKv6u\n",
"wf5rsJAtXhB5wTXPv2z51b0+LpDnSosScKmlFZU1jShJi0JipDpgRoN0SdQ6HZbti+ymvmLuvQWA\n",
"7h2vpcHcDWrH8OwYS0BYWpgAtT/WxrASWu+nu4LnG0EQIjQOe7IElQrosE3QaNr/bQ5KomMRodyH\n",
"xhYHlV4dAaFLsePnj44FCqwnUf92ZAa2Hb+Aub2S2vZRq4Gini5fi1alwBuzu0ApCDZf+vtGZKD2\n",
"UovdBc0dli0uAYhzP822kOg86PSUoNFafR6AezdMf5qYgx9O1WFgZjQElQKTCpvxwd5zqG9uhUIA\n",
"rurmPGBw53fC5OQi+PCYLPzfgXPIiddgRrE0Q9M69/imxkS4TPjiD52XKuklQ3AaKr1HZvN6J6Mk\n",
"PdqrDK8U2LzNBgkA/z0sHf89TLp50GLcMiAFD35aKeuohADJUeUxlULAnB5JchfDLoUg4Kkpubhq\n",
"zT6rx3ukxaKmrkHSDJu+lpugxYCMaByvbcRMiX6HA4G+Q1AeFaFASoellvw1jSK8Q0BrDAjDzCNj\n",
"s/DHzSdwba8kPP3NKa/PNyQrxibDpViOEiAoBMGtYDBYjDTGWt5zR8s6mMVpVRhhbA++47UqrJ5Z\n",
"ALVSQGOLyek6i56IVCtQ19Rqk+q9T1oU+kg8fNEfi0x7QqNSYMX4bOw+XQ9DtBpDA2BpjWCnVDjv\n",
"SSeSS+/UKLw+s8DlMEdRUrwMZvUiGiZTM7x7Dl0kUF8HqHy7vqm/Y1xBn+zwpt7edJPRXZIxITsi\n",
"YH+HHFk6OtP2wfyuQMVP/i+MGLmFLncxJmhxcz8DNCoFEiPV0OtUuL5PMhIjVVZL08hpcFY0Rhrt\n",
"Z5O9scS7TPSBJvTuuh2oqanB9u3bUV1dDYPBgJKSEmi13rVal5eXY//+/WhtbUV+fj66dfNseKA/\n",
"dUuOxCsz8iEIAv599Dy2X+6eB4CBGcF1A2wvY1Yg06oUWDe3CCZ41vplvkBqVa6PHZQVg6c6BPwL\n",
"S5zfcPzPJCM+O1iDSS4WtvdUTIQCRUlanLnYjGEBnKq7myES3QwMYIjCQaxEDY/CmCkwfbAGaOw0\n",
"tD+3EEJ+t7ZpCaMmOT6+31BgwlVAqu1Nv2Lp/8C06Z8QSud4VUbF/Y/DtHEdhPG2OQik5CzM8sm8\n",
"vr6D2/IqGNIgKMJrCLjilnthWr8GwogJchfFQnHvCpj+/SmE6fNE7d9xnqAgCJjZ3b89oHcMSsUT\n",
"W05glDEWpUUJ+O74Ravt5vmy9gwP4HsZT4R8QGgymbBu3TqsXbsWra3tE0d1Oh0WLlyIkSNHun3O\n",
"qqoqPPXUU9i9e7fV43l5eVi0aBFSUwM7cYO51ez+kRko/6UBhmg1zl9qscnKtLDEgL99fxo39JW3\n",
"FWRyYTze31sFjVLApcvDXVdMyBaVRSrQ+Gs9sFiNEmtmd4FaKaCuqdVlj2taTATm9fbsc17QNxkv\n",
"bXOe/VYQBKyYkIOWVsgwL4CIyHcElRrKp99x/zjz/xUKCLMX2t8npwDCgru9KN3l86RlQViwyOvz\n",
"BBpBECDMulHuYshC0CdJUjekJHQpdjr1KNCMNMaiu0GHBJ0KCkHAq1cX4OlvTtoEhuEg5APC1atX\n",
"Y8OGDUhJScH06dNhMBhQUVGB9evX4+mnn0ZjYyPGjRsn+ny1tbV4+OGHcerUKQwaNMgSUH799df4\n",
"6quvsGzZMixfvhzJyYHflaxRKSwTlDtOWjab3k2P6S7mqvlDSnQE3pjVBTq1ApdaWqFWCFArA2M4\n",
"QSAzr2cV0em9mtTFuhXM28n1U4oScOjcJasFcO1RCALCrAGXAtC8Xkl4Q6L1rkhedw9OxZNbvZ/6\n",
"4E/dkiPx0f5qAEAB59b63A19kvH6zjNoNbVlQb2qVzrqqvn9p3aJke33v+bAMByFdED4/fffY8OG\n",
"DdDr9Vi+fDliY9u6d3v27ImSkhIsWbIEr7zyCoqLi5GeLm4OwIsvvohTp05h7NixuOWWWyyP9+/f\n",
"H8nJyXjvvffwzDPPYNmyZT55TeEq+vI8j0hGFF7rlxGNVaW5SEpKQuP5czYBo7sEQcDQ7BiXASFR\n",
"IJjTMwk5CRqb+bKOXF2sx7o9VVg8NE3ysvz5yhw8tfUU7vRjds1QMjY/HjnxWqQ5WAM2EA3PicH3\n",
"J+OgUwno7cU6a4EqJ97xUi4DZFgq4+ruiSgtastY2WIC4nRq1FX7vRgURAZmRuObY0GwlrbEQjog\n",
"XLNmDQBg9uzZlmDQLDs7G6WlpXj//ffx9ttv47/+679cnu/gwYP49ttvodVqMX/+fJvts2fPxubN\n",
"m7Fnzx7s2LEDffr0keaFEEksN0GLNEMMTrZckGRyfb/0KNzQNxmrt5+RoHREvjXIjSU4buhrwA19\n",
"fZONuEuiDqtKc31y7nARbL1sgiBg0RDpGxcCRZdEHRYPTUOrqW3NT71OhW0nLsi63p15/r2/pmxQ\n",
"cBuTFweNUoFcvf/XqZVTyI67O3r0KCorK6HRaDB8+HC7+4wdOxYAsG3bNjQ0NLg851dffQUAGDRo\n",
"ECIjbRNPKJVKjBo1ympfonAgCAKuDpB02LcNaM/g6oteHSIicmx0btvC6dO76THCGIv/GpqOeb2T\n",
"pcnoSuRjCkHACGMsMmMZEIaEvXv3AgAKCwsREWF/jTODwQCDwYDGxkYcOnRI9Dl79erlcB/ztn37\n",
"9jnchyhU/aq/ATlxGtw7PB2ZsRGyBGSTChPwVlkh3iorxOjcOL8/PxEREVEwCdkho5WVlQDahoY6\n",
"k5WVhdOnT6OystLpshEmkwnHjh1zeU7ztjNnzqCxsdFhMEoUiqYU6TGlqG1YkJzLS0i9TiMRERFR\n",
"qArZu6bq6rZZw0lJSU73M2cDra2tdbpfQ0MDGhsbXZ4zMjISWq0WJpPJ5TmJiIiIiIjkFLIBoXlO\n",
"oKvF583b6+vrne7XcbtU5yQiIiIiIpJTyA4ZFUSuI2LOsOhqf7Hn8/YYZxQKhSQZIYnMdZN1iqTA\n",
"+kRSY50iqbFOkZQUitDqUwvZgNDcS+cqe6jYnkSdTmd1jL0so+6e06ypqQlNTU12twmCYHnuYFjs\n",
"noJLSkqK652IRGJ9IqmxTpHUWKdIavX19U4bGdRqNdTqwF4vNWQDwvj4eADA2bNnne5n3m7e3xGN\n",
"RgONRoNLly7hzJkzyMnJsbvfxYsX0dDQAIVCYbP2oSPvvfce1q5da3dbXl4eVqxYIeo8RERERETk\n",
"Pw8//DAOHjzocPusWbMwZ84cP5bIfSEbEJqzfR4+fNjpfkeOHLHa3xFBEJCVlYXy8nIcOXLEYUBo\n",
"Pp/BYBCdYXTGjBmYMmWKw+3V1dVYsWIFli1bZtVTSeSp+vp6LF68GCtXrmSdIq+xPpHUWKdIaqxT\n",
"JLX6+no8/PDD+M1vfuO0TgV67yAQwgFhcXExAODAgQOor6+3+0GdOHECZ8+ehVarhdFoFHXO8vJy\n",
"7NixAyNHjrS7z44dOwDA6RIWnYnpSj548CDHvJNkTCYTqqqqWKdIEqxPJDXWKZIa6xRJzWQy4eDB\n",
"g9DpdE6nkgWD0JoR2UFGRgaMRiMaGxvx+eef293n448/BgAMGDBAVG/e8OHDAQDffvut3SUlGhsb\n",
"8cUXX1jtS0REREREFKhCNiAEgLlz5wIA1q1bh3Pnzlltq6iowMaNG6FSqTBr1izL47t370ZZWRnK\n",
"ysrwzDPPWB2Tk5ODIUOGoKmpCa+99prN87355puorq5G9+7d0aNHDx+8IiIiIiIiIumE7JBRAOjT\n",
"pw8mTZqEDRs2YOnSpZgxYwYMBgPKy8uxfv16tLa24qabbkJqaqrocy5cuBCHDh3C5s2bUVdXhzFj\n",
"xgAANm/ejK1btyIhIQG33367r14SERERERGRZEI6IASABQsWICYmBu+++y5efPFFy+M6nQ533HGH\n",
"zVxAV2sHxsbGYtmyZXjqqaewbds2bNu2zbItPz8fd999N5eHICIiIiKioBDyASEAzJw5E+PGjcP2\n",
"7dtRU1OD5ORklJSU2F0nsLi4GG+99ZbT8+n1ejz44IMoLy/HgQMH0Nrairy8PLcSyRAREREREckt\n",
"LAJCAIiLi8Po0aMlPWdBQQEKCgokPScREREREZG/KB966KGH5C4EuaZQKNC9e3colUq5i0IhgnWK\n",
"pMT6RFJjnSKpsU6R1EKlTgkmLshCREREREQUlkJ62QkiIiIiIiJyjAEhERERERFRmGJASERERERE\n",
"FKYYEBIREREREYUpBoRERERERERhigEhERERERFRmAqbhemDVU1NDbZv347q6moYDAaUlJRAq9XK\n",
"XSzysUuXLmHXrl04ceIEmpubERsbi4KCAhiNRpfHnj59Gj/88AMuXryI9PR09O3bFyqVuK96ZWUl\n",
"9uzZg0uXLiE7Oxu9evWCQiGu3ai8vBz79+9Ha2sr8vPz0a1bN1HHUWBjfSJnTpw4gT179qC2thZx\n",
"cXHo2bMnDAaD02NYp8iRgwcPory8HBcvXkRCQgJ69OiBpKQkl8exTpE7gq2+mEwm7NmzB4cOHYJS\n",
"qURRURHy8vJEHSsWA8IAZTKZsG7dOqxduxatra2Wx3U6HRYuXIiRI0fKWDrypW+//RbPP/88Lly4\n",
"YLOtuLgYixcvRmxsrM225uZmvPbaa9i4caPV4/Hx8bj99tvRp08fh89ZV1eH559/Hlu3brV6PDU1\n",
"FYsWLXJ64amqqsJTTz2F3bt3Wz2el5eHRYsWITU11eGxJI/q6mrce++9qKmpwe23347Ro0fb7MP6\n",
"RM5cuHABL7zwAr755hubbZMnT8YNN9xg8zjrFDlSW1uLlStXYs+ePVaPC4KAK664AgsXLoRarbY5\n",
"jnUqfDU2NuLjjz/G+vXrUVNTg1GjRuHXv/6102OCsb4cP34cq1atwpEjR6we7927N+644w7ExcU5\n",
"PNYdyoceeughSc5Eklq9ejU++OADGAwGzJs3D5MmTUJGRgb279+PLVu2ICEhQfLWAZJfeXk5fv/7\n",
"36OlpQVTpkzBVVddheHDhyMlJQVHjhzBiRMncOzYMQwfPtzquNbWVqxcuRJffvkljEYj5s+fj/Hj\n",
"xyMpKQl79uzB5s2bkZeXh7S0NJvnbGxsxGOPPYadO3eie/fumD9/Pq644gpERUXhhx9+wFdffYXe\n",
"vXsjISHB5tja2losW7YMhw4dwqBBg3Dttddi2LBhUCgU2LlzJ7Zu3YrBgwcjKirKZ+8ZucdkMuGJ\n",
"J57A0aNHAQADBw606XlmfSJn6uvr8cgjj2D37t1IT0/HNddcg8mTJyMvLw8HDx7Ejz/+iJSUFOTk\n",
"5FiOYZ0iRxobG/Hoo49i//79SEpKwrXXXouJEyciLS0NBw4cQHl5OaqqqjBgwACr41inwtdnn32G\n",
"P/7xj/juu+9w6dIlAIDRaLSpIx0FY305efIkHnzwQZw+fRpjx45FWVkZBgwYgIaGBuzcuRPbt2/H\n",
"sGHDEBER4cW72YYBYQD6/vvv8eqrr0Kv1+MPf/gDunXrhpSUFHTt2hV9+/bF559/ju3bt2PIkCGI\n",
"iYmRu7gkoTVr1uDIkSO45pprMHv2bKSlpSEtLQ09evRAjx49sGnTJpw8eRIjRoxAdHS05biNGzfi\n",
"o48+gtFoxKOPPoq8vDykpKSgR48eKCgowJdffomdO3dizJgx0Gg0Vs/5xhtvYOvWrejTpw8eeOAB\n",
"ZGVlITU1FX379oVer8c333yD3bt3Y/z48TbDIp566ins27cPY8eOxZ133on09HSkp6dj0KBBaGlp\n",
"wY4dO3D48GG7PVAkj/fffx+fffaZ5d8DBgywCQhZn8iZl19+GTt27EC3bt2wfPlyFBQUICUlBV26\n",
"dIFer0d5eTmioqKsWttZp8iRTZs24dNPP4Ver8ef/vQndOvWDampqSguLkb37t3xxRdf4NChQxg+\n",
"fLjVPQ/rVPhavXo1jh8/jl69eqF79+44dOiQy4Aw2OpLa2srVqxYgVOnTuGaa67B/PnzkZaWhszM\n",
"TIwYMQI///wzfvzxR1RXV2PgwIFev6dMKhOA1qxZAwCYPXu2zdDA7OxslJaWorm5GW+//bYcxSMf\n",
"mj59Oh555BGMHz/eZltBQQEyMjIAAIcPH7Y83tzcjHfeeQcAcN1119m0FPXq1QvDhg3DhQsX8OGH\n",
"H1ptq66uxoYNGyAIAm688UYIgmC1fcyYMSgsLMSpU6ewadMmq20HDx7Et99+C61Wi/nz59uUd/bs\n",
"2ZaWtx07doh/E8hn9u3bh7fffhtJSUno16+f3X1Yn8iZ48ePY9OmTVAoFLjtttts5t0MHz4czz77\n",
"LBYsWGB5jHWKnPnpp58AAGPHjrVq6ASAoqIidO3aFQCwd+9ey+OsU+Ft6NCheOKJJ/DAAw+gqKjI\n",
"5f7BWF++++47VFRUwGAwYPr06TbH3njjjdBoNPjyyy9x4sQJl++BKwwIA8zRo0dRWVkJjUZjMyzQ\n",
"bOzYsQCAbdu2oaGhwZ/FIx/LyspCUVERIiMj7W5vbm4GAKu5FDt27MCFCxeQnJyMHj162D1uzJgx\n",
"AIAtW7ZYPf7111+jtbXV0iLr7NivvvrK6nHzvwcNGmS3vEqlEqNGjbJ7LPnfhQsXsGrVKgDA3Xff\n",
"7XA4E+sTOfPll18CALp37y56nhTrFDlj/l1z9Lun0+kAtA13N2OdCm8TJkxAZmam6P2Dsb5s3rwZ\n",
"ADBy5Ei7SWuioqIsPYNS1DUGhAHG3AJWWFjocEywwWCAwWBAY2MjDh065M/ikYwOHjyIU6dOQRAE\n",
"ZGdnWx43t6727NnT4bFdu3aFWq3G2bNncfbsWcvj5vrm7NhevXoBaJvf2DHBkflY83Znx+7bt8/h\n",
"PuQfzz77LH755RfMnj3baYsq6xM5Y0760bt3b9HHsE6RM+Z8CNu2bbPZVldXh/3791vtB7BOkXuC\n",
"sb6Yy+yvusaAMMBUVlYCgNUNvz1ZWVlW+1Noq66utvTu9O7dG8nM780sAAAM/klEQVTJyZZt5jrQ\n",
"MYFDZyqVyjJRumOdEXNsYmIidDodmpubLcMSTCYTjh07BsB5XTVvO3PmDBobGx2/QPKpDRs24D//\n",
"+Q969OiBq6++2um+rE/kjDkZkZhhWmasU+TMmDFjoNfr8eOPP1qG9QHAxYsXsWrVKpw/fx4DBgxA\n",
"bm6uZRvrFLkj2OpLTU0Nzp8/7/J5zcear8veYEAYYKqrqwHA5bo75oCgtrbW52UieZ0+fRrLli3D\n",
"qVOnkJycjFtvvdVquzd1pqamxqNjGxoaLBcuZ8dGRkZCq9XCZDKxrsrk0KFD+Pvf/47Y2Fjcdddd\n",
"LvdnfSJHGhoaLNMUMjIy0Nraiu+++w7PPPMMVqxYgZdeesnSqt0R6xQ5Ex0djSVLliA9PR1r167F\n",
"rbfeiiVLluC2227Djh07MGTIENx9991Wx7BOkTuCrb6Yn9O8zRHzec3Boze4DmGAMf/Yulp83ry9\n",
"vr7e52Ui+ezfvx+PP/44amtrkZOTg9/+9rfQ6/VW+3hTZ8x/iz3W/FwdzyHm2IaGBtZVGTQ0NOAv\n",
"f/kLWlpacOeddyI+Pl7UMQDrE9kyf14KhQImkwm///3vsWvXLqt9PvnkE5SWluL666+3OY51ihyJ\n",
"jIxEcnIyTpw4gerqassNvEKhsLsMAOsUuSPY6ou7z2kymdDQ0OByf2cYEAaYztmLHDFPrha7PwWf\n",
"zz77DC+99BJaWlowePBg/PrXv7ZJhdxRxwn3zrZ3rDPmv8Ue2/k4d7Cu+t8LL7yAU6dOYdq0aW7N\n",
"+QJYn8iWeW6MSqWyrGW5aNEi9O/fH9XV1fj000/xwQcf4KOPPkJ+fj6GDRtmdTzrFNlTW1uLpUuX\n",
"oqqqCuPHj8f06dOh1+tx5MgRrFmzBuvWrcOBAwewZMkSm+QarFPkjmCpL3LUNQ4ZDTCdWxgcEdva\n",
"QcHp/fffx/PPP4/W1lbMnTsXixcvdhgMmjOwia0z5v29ObbjOVhXA9OmTZuwZcsWdOnSBddcc43D\n",
"/Tr/iLE+kSPmz6mxsRE//fQT7rvvPgwdOhQREREwGAyYO3cupkyZAgD45z//aXMc6xTZ8+qrr6Kq\n",
"qgqlpaW4+eabkZycDKVSiby8PCxZsgSFhYXYtWsX6xR5LNjqi7uxgCAITjsMxGBAGGDMQ7o6Zjiy\n",
"x7xdzBAwCi5bt27Fm2++CZVKhXvuuQdXXXWV0/3drTNxcXFeH6vRaCwXnzNnzjg87uLFi2hoaIBC\n",
"obBZU5N864svvgAAHDhwANdeey3Kysqs/jMvH/Dss8+irKwMzzzzDADWJ3JMq9Vaemh69+6NwsJC\n",
"m30mTpwIoC0rsnk5AdYpcuTs2bPYsmULtFotysrKbLYrFArMnj0bQNtwZDPWKXJHsNUX83PW1dWh\n",
"rq7OrfJ6igFhgDFnDOq48Lg9R44csdqfQkNDQwNefvllAMCvfvUryxozzoipM01NTZbMVx3rjDlb\n",
"rbNjz5w5g/r6ekRERFjmcgiCYDnWXBftMW8zGAwOl1Eh38jLy0PPnj0d/mf+wcnMzETPnj0tn6eY\n",
"OsH6FJ4EQbCs/dUx42NHiYmJUCgUaG1txYULFwDwGkWOmd//vLw8hz0c5oaHU6dO4dKlSwBYp8g9\n",
"wVZfYmNjLcGhs2PNZZIiFmBAGGCKi4sBtLXqO5qMfOLECZw9exZarRZGo9GPpSNf++STT1BbW4uB\n",
"Awdi9OjRoo4x15ldu3Y5HOO+e/duNDc3IyUlBQkJCTbH7ty50+H5d+zYAaDtR7njGHXzsebtzo7t\n",
"1q2bmJdCErr++uuxdOlSh/+Z1y+aNm0ali5diqlTpwJoW3AcYH2i/9/e3b00+cZxHP9MFz5kYo+M\n",
"LLJZIVMyRAkhsuMOOuqk0zpKMo3AU/sDOhHC6AnKnvBgHgQVRg8uKsS7EsGJPdn2y4zUckYtmrr9\n",
"DmSrtc3s9yuXXe8XeNC967Zv7kvuc933dd3JbdiwQZI0PT2dckx0rWH0ww3/RyGVaMCbbf3T5ORk\n",
"wnh6Cj9jIfZL9HfxXM4tKSlJOWauCIR/mMLCQhUVFSkUCqmzszPpmBs3bkiSqqqqmH36y9y6dUuS\n",
"fnib6Lc2b96s/Px8vXv3LumDfaWvPfP9Jg/V1dWy2+16+vRp0lmoSCSimzdvJj1327ZtkqTu7u6k\n",
"W2uHQqHYbYvRsfjz0U+YTfR9+3530ajBwUFJM7Pdubm5kugppOZwOCTN9E2q9VLRh27n5ubGrprQ\n",
"U/gZC7Ffon/u7OyMmxSJCgQCsixLNpst4e/9LwiEf6A9e/ZIktrb2zU+Ph732osXL9TR0SG73a7d\n",
"u3enozz8JsFgUG/evFFmZuasDyL93rdrLC5dupTwS9WyLD169Eh5eXmxDR+ilixZop07d0qaWdj/\n",
"/az/9evX5fP5tHr1atXU1MS9tm7dOlVXV2tyclKtra0JdV2+fFmBQEClpaUqKyub878H6UU/YTZl\n",
"ZWUqKirS4OBg7ENQVDgcjj1Y/Nv3l55CKuvXr5fD4dDnz591+vTphKs3wWBQFy5ckCRt3bo1dpye\n",
"ws9YiP1SWVmpjRs3KhAIyO12x70WDod15swZTU1NqaamJjax8n9kHjly5Mj//i74pRwOhz59+iSv\n",
"16uuri5lZWXp48ePun//vk6dOqXJyUnt27cvdssX/g6BQEDXrl2TzWbTkydPdPfu3ZRffr8/7jEC\n",
"TqdTfr9fAwMDevz4sbKzszU+Pq7bt2/r/PnzstlsamhoSBo0S0pK5PV6NTAwIK/Xq+zsbI2Ojurq\n",
"1atqb29Xdna2GhsbtXz58oRzXS6XLMtSf3+/Xr58qaysLA0PD6utrU137tzR0qVL1djYqMWLF//W\n",
"nx1+nmVZ8vv9qqqqSrj1nH7CbFwulzwejyzLUiAQUEZGhl69eqVz586pt7dXDodDdXV1yszMjJ1D\n",
"TyGZ6Dqre/fuye/3q6+vT4sWLdKHDx/U09OjlpYWvX37VgUFBTp06FDcrp30FKSZdXQPHz5UUVGR\n",
"qqqqUo5biP3icrn04MED9fb2amxsTJmZmfL7/Tp79qx6enq0Zs0aNTQ0/JK7BW2RHz1YA2njdrvl\n",
"drvjZiNycnK0d+9ebd++PY2V4XcYGRlRXV3dnMa6XC41NTXFHZuamlJra6s6OjrijhcUFGj//v3a\n",
"smVLyu8XDAZ14sQJdXV1xR13OByqr6+X0+lMee779+917Ngxeb3euOPFxcU6ePDgL5m5wq/X0tIi\n",
"j8ej2trahFlNiX7C7Hw+n5qbm2ObMEQ5nU4dPnxYK1asSDiHnkIqlmXp5MmTSW+rczqdqq+vT/o+\n",
"0VPo7OzU8ePHVVNTo9ra2lnHLsR+ef36tZqbmxNuVy0vL9eBAwd+2U62BMI/3MTEhHp6ejQxMaGV\n",
"K1eqoqKC59pgVqOjo+rt7VUwGJTD4VBFRYXsdvuczh0aGlJ/f7++fPmitWvXqry8fM4PO33+/Lme\n",
"PXumcDgsp9PJgvq/BP2EVMLhsPr6+vTPP/9ImvngHt1EYTb0FJIJhULq7+/X8PCwQqGQ8vLyVFxc\n",
"nHJH22/RU/gZC7Ff+vr65PP5ZLfbtWnTplkD6H9BIAQAAAAAQ7GpDAAAAAAYikAIAAAAAIYiEAIA\n",
"AACAoQiEAAAAAGAoAiEAAAAAGIpACAAAAACGIhACAAAAgKEIhAAAAABgKAIhAAAAABiKQAgAAAAA\n",
"hiIQAgAAAIChCIQAAAAAYCgCIQAAAAAYikAIAAAAAIYiEAIAAACAoQiEAAAAAGAoe7oLAADABN3d\n",
"3fL5fFq1apV27NiR7nIAAJDEFUIAAOaFZVlyu93yeDzpLgUAgBgCIQAAAAAYikAIAAAAAIayRSKR\n",
"SLqLAADgbzQyMqK6urofjmtra5uHagAASMSmMgAA/CY2m00ZGTM344TD4djx6DEAANKNK4QAAMyD\n",
"lpYWeTweuVwuNTU1pbscAAAksYYQAIB5wfwrAOBPRCAEAAAAAEMRCAEAAADAUARCAAAAADAUgRAA\n",
"AAAADEUgBAAAAABDEQgBAJgHNptNkjQ9PZ3mSgAA+IpACADAPMjJyZEkBQKBNFcCAMBXBEIAAOZB\n",
"YWGhJGlkZERjY2NprgYAgBkEQgAA5kFlZaUyMjIUiUR09OhRDQ4OKhQKye/3y7KsdJcHADCULRKJ\n",
"RNJdBAAAJrhy5YouXryYcNzlcqmpqSkNFQEATGdPdwEAAJhi165dys/PV0dHh4aGhiRJy5YtU2lp\n",
"aZorAwCYiiuEAAAAAGAo1hACAAAAgKEIhAAAAABgKAIhAAAAABiKQAgAAAAAhiIQAgAAAIChCIQA\n",
"AAAAYCgCIQAAAAAYikAIAAAAAIYiEAIAAACAoQiEAAAAAGAoAiEAAAAAGIpACAAAAACGIhACAAAA\n",
"gKEIhAAAAABgKAIhAAAAABiKQAgAAAAAhiIQAgAAAIChCIQAAAAAYCgCIQAAAAAYikAIAAAAAIYi\n",
"EAIAAACAof4FmYg2FiVmm1oAAAAASUVORK5CYII=\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x117fce8d0>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 450
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(reward_ans1)\n",
"plt.plot(reward_ans2)\n",
"#plt.plot(epsilon_rewards)\n",
"\n",
"plt.legend(['Thompson', 'UCB'], loc='best')\n",
"plt.xlabel('t')\n",
"plt.ylabel(u'報酬')\n",
"plt.title(u'得た報酬の推移')"
]
},
{
"cell_type": "code",
"execution_count": 213,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11ba20150>"
]
},
"execution_count": 213,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA5sAAAKTCAYAAACXTxzJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3XlcTfn/B/DXOS3KUrYoSkkGRRIj24zty4xlLCOzfQeZ\n",
"r2EYxFi+1klimLEvg2ZVGGaMYcbYGXwtZctaklSIVmVp73bP749+9+i697ZwuXV7PR8PD/d+lnPe\n",
"53aid5/P+XwESZIkEBEREREREemRaOgAiIiIiIiIyPgw2SQiIiIiIiK9Y7JJREREREREesdkk4iI\n",
"iIiIiPSOySYRERERERHpHZNNIiIiIiIi0jsmm0RERERERKR3TDaJiIiIiIhI75hsEhERERERkd4x\n",
"2SQiIiIiIiK9Y7JJREREREREesdkk4iIiIiIiPSOySYRERERERHpnamhAyAiIiIqi/j4eCgUCtSq\n",
"VQvW1taGDoeIiHTgyCYREVE55OPjA1EUIYoi/P39X+hY8+bNk481cuRIPUWoX6oYSxNfly5d4Ozs\n",
"jJUrV76CyIiI6Hkx2SQiIqNVNMnS9587d+680Hm7d+9e6usQBEEfH0exxzp27FiZP4OTJ0++0DGC\n",
"goKKjW/jxo3Fflb6/FyIiEj/OI2WiIgqDV3JiSRJJbYp2q6kJEdVLwiC2rFLE0tFIQgCzMzMXqh/\n",
"aT+Div5ZERFVVkw2iYioUhg/fjzGjx+vUS5JEmbOnIldu3YBAA4fPoyGDRtqbdezZ0/cv3+/xHMN\n",
"GjQIjRs3LraNra1tKSMvm2PHjuHYsWMaZSoXL16Ev7+/WuI8aNAgtfZdunSBi4uLxrElScKBAweQ\n",
"mJgISZJgaqr+Y0Tjxo3h5+cnJ4exsbEICgqCj48Pjh49iocPH2Ly5Mlyew8Pjxe5VCIiKueYbBIR\n",
"UaVQp04dvPbaa1rrrKysABQmXs7OznB0dNTa7tnkSpfWrVujdevWzxfoCzp27Bjmz5+vs/7y5cu4\n",
"fPmyWpmTkxOcnJzk96NGjcLw4cO19u/Tpw8SExMhCILG5+Ho6Ag/Pz+1WIKCgjBixAjExMRAEAR8\n",
"+eWXz3FVRERUETHZJCKiSsHf37/EhXYkSSpxRLI4CoUC0dHRpW5frVo1ODg4PPf5tCk6hVfl2am8\n",
"z05LLcs01aJTZ0ubfBMRUeXE/yWIiKjS0Nczm7rEx8fD1dW11PF07doVR48eLXX70vDz81MbXQTU\n",
"E20fHx/89NNPGv2enXqrS25urvyaySYRERWH/0sQEVGlMGnSJEyaNEmjXJIkTJ06FTt27IAgCDhx\n",
"4gTs7e21tuvSpQvu3btX4rnK28I3RZPkkhLmkmRlZcmvy5psvui5iYioYmGySURElULNmjXRqFEj\n",
"rXXVqlWTX9vb2+tsZ2JiUuw5nJycoFQqnz9IHUqbpAUHByM4OFijPDY2Vn598OBB/Otf/1KrFwQB\n",
"c+bM0XnckJAQDBs2DAUFBWpbvlSpUkWjrY+Pj0YMRbcuEcWnu679/PPPCA8PR82aNeXE+++//0bD\n",
"hg0RGRkpt4uIiEDnzp2xdetWnV8bIiIqf5hsEhFRpZCSkoIbN25oTdwePXokv46OjlYbvQOebmGS\n",
"n59fqnP99ddf+Ouvv4pt07x5c0ydOhWjRo3SWh8SEqJ2vPj4eK3PXi5ZsgQ1a9YEAMTExOCff/4p\n",
"9rwJCQlISEjQOE5xyWbHjh1Ru3ZtnD9/Xi5r06aN1hHg0lIll3/99Rfq16+PHj16AADS0tKgVCrV\n",
"riM7OxshISH4+++/MW7cuOc+JxERvVpMNomIqFL49ttv8e233xbbRpIkjVE/Xe2KExYWpvW5yKK6\n",
"deuGqVOnltgOKNyu5OLFi1rr/P395WSzcePG6Nq1KwRBQHZ2Ns6ePYu2bduievXqan3Cw8ORkpIC\n",
"AGjbti1q1KhRYgzOzs64d+8emjZtiu7du+Pzzz8vtr2npydatWqFoKAgjBkzBgcOHMDDhw8xdepU\n",
"tcQ2JSUFr7/+uvy+U6dOOHnyJI4ePYo2bdoAKFzd9+rVqzhy5AiTTSKiCoTJJhERGS1tK7MWVdqF\n",
"gZ7tU1LbNm3awMfHp9g2zZs3L/bcJa0gq82IESMwYsQIXL9+HW+99RYkSULfvn0xb948tXatWrVC\n",
"SkoKqlevjhMnTsDCwkJtgSBtyfS2bdtKPH9R7u7uePvttxEUFIRJkybh+vXrAIBZs2bJyWZmZibS\n",
"09PVRkhbt26N6OhonD59Wk42TUxM0KlTJ5w4caJMMRARkWEx2SQiIqOlbWVWlfDwcHTt2hVpaWn4\n",
"5JNP8MMPP6jVh4SEwN3dXe15ztIaOHAgBg4cWKq2up7xHDlyJIKCggAA8+bNK9P+lI6OjsjIyAAA\n",
"rF27FjNmzICFhQUAICkpCeHh4QCAAQMGyOVFfffddzh06JDO40uShO7du+ucAqxqk5iYCACoW7eu\n",
"1vqoqCgAgIODg9zW3Nwcr7/+Og4dOoSCggIAhYl2p06dsG/fPrkPERGVf0w2iYioUoiPj5dH0G7d\n",
"uoXevXsjLS0NQOHIWdERy7/++gtDhw5FixYtsHv37jLvhfngwQN5mqouJe2x+SIrt1atWhXDhg3D\n",
"mjVrkJaWhm3btskjrUWfhfzggw+09g8JCVF7ZlSbbdu2wcTEBCNHjtTZJiIiAqampqhdu7bW+suX\n",
"LwN4OkUXKEw23dzcsHv3bsTExMht27ZtCwAIDQ0tNi4iIio/xJKbEBERVWzLli2Do6MjfHx8cO7c\n",
"OXTv3l1eJGfs2LEIDAyUE83NmzfD29sb+fn5uHLlCoYMGVLmFWbXrFkDV1fXYv8MHz5c79dZlOr4\n",
"FhYWagseHT58GEDh6rxvvfWW1r4ODg5qCaKrqys8PDzg4eEhJ8iSJOHChQvFxnDo0CHY2NhAEAQI\n",
"gqDxOZ45cwYmJibo2LGjvH+nhYUFmjRpAgBqyaaHh4fc51VtGUNERC+GI5tERGTUzp49i5kzZ0KS\n",
"JI2tQaZOnYpvvvlGfr9s2TJMmzZNft+pUyf88ccfatt1lIYquSqpjb4dO3YMx44dk1fPrVq1Kt5/\n",
"/32kpKTIz23u3bsXAGBjY4OvvvpKHtHt1q2bfJyAgADcunULAQEBEAQBwcHB8PT0BFA4NTkgIAAA\n",
"1Po869q1a4iNjZWnEzs6OuL48eNqW5cMGDAAjRo1grW1NbKzswEANWrUgJeXF+bMmaM2umtra4vP\n",
"PvsM7777Lvbs2fPCnxUREb18TDaJiMioeXp6YvHixQgICFDb4sTBwQETJkwAUDhKN23aNCxfvlyu\n",
"HzZsGH744QeYmZnh8ePHWL58OebMmQNT05L/6yzuWdGX6dixY5g/f75a2c8//6y17c2bN+Hv7y+/\n",
"L5o4SpKEli1byq9jY2PlZDMsLAxA4X6ZRffPfJZq1LNv374AgJkzZ+Ly5cvyQkGqOtUI7OPHjwEA\n",
"tWvXRsuWLdGyZUts3LhR7Zjr1q3TeT4iIip/mGwSEZFRMzU1xRdffIFhw4Zh+vTpCA4OhiRJuHv3\n",
"Ltzc3BAQEIDw8HB5gSBRFBEQEICZM2cCAHJycvDOO+/gxIkTOH36NHbs2FHiViErV67Ew4cPi20j\n",
"CILeE1Jdq++WdWVbQRDQuXNn+f358+cxZMgQFBQUyCvCuru7o06dOjqPYWVlhYKCArz//vsAgGbN\n",
"msnbt2gbKVY941qrVq1iYyMiooqDySYREVUKNjY2+Pnnn/Gf//wHo0aNQlRUFDIyMjB58mS5jaWl\n",
"JYKDgzFkyBC5LDU1FXfu3AFQ+Lxj165dsW/fPtSvX1/nuVauXCn3KY6+k01dI6r+/v7yKKaulW2L\n",
"bn0CAA0aNECLFi1w/fp1HDp0CIsWLcKJEyfkEci333672FjeffddTJo0CVZWVqWK/e7duwC0r1xL\n",
"REQVExcIIiIio3P//n2kp6cjKysLCoVCra5Lly64fPkyJk6cqDHCN2fOHLRs2RJhYWE4efIkDh48\n",
"iAsXLmDMmDHyaNylS5fQqVMntcVriqN6fvPZ5zhf5SI3z7uyrSrpvnjxIiIjI+VprYIgYMCAASWe\n",
"093dvVTnyc/Px82bNyEIAtzc3J4rViIiKn84sklEREanT58+uHr1apn7zZ49G7Nnzy6xXWxsLLp0\n",
"6YKDBw/KzzZq061bN7WtRgDAycmpVKOeL0tZEs9hw4ZhwYIFkCQJEyZMwPHjxwEUrk7boUOHYvsG\n",
"BQXJ+4SW5MqVK1AoFGjUqBFq1qxZ6viIiKh848gmEREZnX79+j1332dHIs3MzFCnTh00adIEnp6e\n",
"8l6diYmJ6NmzJ548eaKvsPWiW7duEEVR7U/RRYP8/f016oOCgrSOtDZt2hRdu3YFABw5ckQeJZ41\n",
"a1apYnn2s9S1Sq9qT8/WrVuX+XqJiKj84sgmEREZnYEDB2Lnzp2wtraGlZWV/HeNGjXU3qvKZs+e\n",
"jcuXLwMAduzYgWbNmqFmzZqwtrZG1apV1Y597949dO7cGffv38fKlStLXCzoVSvr9NyStmn573//\n",
"K49oAkCrVq3w4Ycflnhcb29vLF26VKNckiQ0btxYrezIkSMAIK94S0RExoHJJhERGR0vLy+1LTYA\n",
"IC0tDVOmTMGTJ080tgdR7bUpCAI8PT3lvSBzc3Ph5eWFLl26YMqUKWjQoAEaNmyII0eOICIiAu+8\n",
"886ruaAymDFjBkaOHCm/lyQJu3btwp9//gkAGDRoEAYNGqTWp3PnzvICPc9q3rw5zMzMkJ+fLx8v\n",
"JSUFNjY2xcZRvXp1tT01dUlNTcWePXsgCIJGXEREVLEx2SQiIqOWk5ODH374Af7+/njw4AEAoFq1\n",
"ali9enWJfefMmYNz587h3LlzWLNmDQYOHIjRo0ejZ8+eaNKkSYn9ExISEBQUpPacZGZm5vNfTCm8\n",
"9dZbGmWxsbFysunh4SHvbVmUtmQzLi4O3bp1kxNNALh27Ro6deqEvXv3omnTpjrjuHnzpsa1P0uS\n",
"JGzatAkKhQLNmjXjNFoiIiNTKZLNlJQUhIeHIz09HaIoom7dunBzcyvVIgTJycm4cuUKMjMz0aBB\n",
"A7Rp06ZUG3oDhf9xR0REIDc3F40aNYK7u7vWvcW0iY6ORlRUFJRKJZo0aYIWLVqUqh8RERWKj4/H\n",
"hg0bEBgYKCeZAPDaa6+pbW1SnJYtW8LDwwOXLl2CQqHAjh07sGPHDtSrVw9DhgxBv3790LVrV1Sr\n",
"Vk1r/xs3bqiNMlYUkiTht99+w+effy5/dp6enrh27Rry8vJw69YteHh4YMqUKZgyZQqsra01jnHq\n",
"1CmcOnWq2PPk5+dj1apVAICPPvpIo97ExET+Q0REFY9RJ5tKpRI//fQTDh06pFFnYmKC9957T+eU\n",
"HYVCgeDgYBw4cECtvGbNmhg7diw8PDx0njcrKwuBgYEIDQ1VK7e1tYWvry+cnZ119k1LS8PatWsR\n",
"Hh6uVu7s7AxfX1/Y2trq7EtERIXPVA4aNAgXLlxQK7exscH06dMxceJEmJmZlepYI0aMwIgRI3Dy\n",
"5EmsWbMGO3fuhEKhQHJyMtavX4/169dj2LBhxa66+uzzkKqRvufdjuRVuHTpkpwEAoXTbA8ePIjT\n",
"p09j6NChePjwIbKzs7FgwQLcunULW7Zs0XocXc+Cqq5906ZNuHPnDqpUqYIxY8ZotBs2bBiGDRum\n",
"hysiIiJDMOrVaH///XccOnQItWrVwrBhwzB79mxMnToVvXr1glKpxNatWxEWFqbRT6lUYuXKlThw\n",
"4ACcnJwwfvx4zJ49G4MHD0ZWVha+/vprrf0AIC8vD4sWLUJoaCjc3NwwefJkzJw5E2+99RaSkpLg\n",
"7++vc2+2x48fw9/fH+Hh4fDy8sK0adMwbdo0dOnSBTExMfDz80NKSopePyMiImPTsGFDeHl5ye/t\n",
"7OywZMkSxMbGYsqUKcUmmroSwC5duuDXX3/F/fv3sXbtWnTu3BmCIMDJyQmBgYEa7VVJVrdu3VBQ\n",
"UKD2x9HRscRFeQzNw8NDXoW2R48e2Lt3LywtLdGzZ0+cPXtW3j+zXbt28t6bz/Lx8dG4dtUfoPAz\n",
"KigogLm5OYYOHYp69eq9kmsjIqJXx6hHNlV7m02ZMkXtuZLXX38dAHDo0CEcOHBAY/W7gwcP4ty5\n",
"c3ByckJAQADMzc0BAO7u7nB1dcXChQvx7bffal2FcNu2bYiKioKHhwdmzJgh/zDh4eEh/1CyatUq\n",
"LFu2TGM67vfffy8vpT969Gi5vF27drCxscHOnTuxbt06+Pn56eXzyc/Px86dOzF48OBS/5afqDi8\n",
"p0jfnvee+vrrr5GTk4NBgwahT58+JU7DVP1bXVICWLduXYwbNw7jxo3DnTt38OjRI1hYWGi027Zt\n",
"G3Jzc7U+rhEbG1uqayhtTPo6VtE2giBg3rx52L59O1avXq32CIiLiwvOnDmDGTNmoE+fPhpfF29v\n",
"b7z22mvFPn954sQJCIKApk2bIjIyElZWVmW+nuf9XPjvFOkT7yfSN2O7pwSpPM/jeUEXL16EJElo\n",
"06aNxn9KFy5cwDfffIMGDRpgxYoVcrlCocCYMWOQkZGBuXPnat2se/Xq1Th16hQGDhyo9ozJw4cP\n",
"MXbsWEiShJUrV2qd8jp37lxERUVh1KhR6NWrl1weExODmTNnwsLCAuvXr9dYar+goAATJ05Eamoq\n",
"Zs6cWew03tLKysqCj48PNm7cqHE+oufBe4r0jfcU6RvvKdIn3k+kb8Z2Txn1NNo2bdrA09NT628/\n",
"VasB1qlTR6380qVLyMjIgI2NjdZEEyicUgRAY+GDkJAQKJVKtGjRQuezlaq+J0+eVCtXvffy8tJ6\n",
"Y5mYmMhTmp7tS0REREREVN4YdbKpi0KhwL59+wAULnpQVGRkJIDCTat1Ue05lpqaitTUVLlctadb\n",
"cX1Vz7lER0dDqVRq9FXVF9f3xo0bOtsQERERERGVB5Uu2UxNTcWSJUsQExODrl27onv37mr1qn3G\n",
"HB0ddR7D1NQUdnZ2au1L27dOnTqwtLSEQqHA/fv3ARQuSBEfHw8AxW6ArapLSUlBXl6eznZERERE\n",
"RESGZtQLBKls3rwZMTExePz4Me7evYu6detizJgx8pTWoh4+fAigcBGI4tjY2ODOnTt4/PixXPbo\n",
"0aPn6puTkyMnj8X1rVq1KiwsLJCTk4PHjx+XeB4iIiIiIiJDqRQjm7GxsQgPD5dHHtPS0nDmzBnc\n",
"unVLo21OTg4AaF1dsChVfXZ2tlymel3avqpzFT3G85yXiIiIiIiovKkUI5tz584FULi6U1xcHPbv\n",
"348zZ87gypUrmDp1Ktq2bavRp6RFelX1RRcfUr0ubd9n+5WFvpbCd3Z2Ltd7vVHFIggCateuzXuK\n",
"9Ib3FOkb7ynSJ95PpG+qn8+NRaVINlWqVq0KV1dXuLq6Ijg4GHv27MHGjRvh4eEh78FmaWkJ4Omo\n",
"oy6qelV71euMjIwy9y16jJycnGKXOS7tyCtQuE9Pfn6+1jpBEGBpaYnFixeXeByi0rK0tMSGDRsM\n",
"HQYZEd5TpG+8p0ifeD+Rvql+Plc92qeLmZlZhdiHs1Ilm0V98MEHOH78OJKTk3H9+nV5mxPVBtxF\n",
"V5nVRlVvbW0tl9WsWRMZGRlITU2Fk5NTqftWqVIFVapUQW5uLlJSUnQuMJSZmYmcnByIoliqDbB3\n",
"7tyJ33//XWuds7MzE00iIiIionJo8eLFiImJ0Vnv7e2N99577xVG9HwqbbJpbm6O5s2b4/z580hM\n",
"TJSTzUaNGuHixYuIi4vT2Tc/P19eSbbo6rEODg6Ij49HXFwc2rVrp7VvSkoKsrOzYW5uLq9oKwgC\n",
"HBwcEB0djdu3b+tMNm/fvg0AqFevHszNzUu8xsGDB6N///5a64pO90hNTUVBQUGJxyMqiSAIqFev\n",
"HpKTk0ucTk5UGrynSN94T5E+8X4ifRJFETY2NgAAPz+/Yu+pijCqCVTiZBN4+uykKD5dJ8nV1RV/\n",
"/vknrl69CkmStM7BDw8Ph0KhQP369VGrVi21viEhIbh8+TK8vb21nvPSpUsAgNdee03t2K6uroiO\n",
"jsalS5fw5ptvFtu3RYsWpbq+0g6vFxQUMNkkvVDd0wUFBfxPl/SC9xTpG+8p0ifeT6RPRe+hoo/Z\n",
"VWRGuxptfn4+Lly4gIsXL2qtlyRJXp226Oiku7s7rKys8ODBA1y4cEFr34MHDwIAOnfurFbesWNH\n",
"mJqaIioqSh6FfPachw8f1tq3S5cuAICzZ8+qbaeikpeXh+PHj6u1JSIiIiIiKq+MNtlUKpVYunQp\n",
"Fi9eLE95Lero0aNITk6GnZ0dXFxc5HJRFDF06FAAwC+//KKx2M+5c+dw4cIFVK9eXWOKao0aNdC3\n",
"b18AwMaNGzVGC/ft24e4uDg0aNAAXbt2VatzdHREx44dkZ+fj+DgYI14t27diocPH8LNzU2e8ktE\n",
"RERERFRemcybN2+eoYN4GUxNTZGYmIg7d+7gzJkzKCgoQFZWFpKSkrB//3789ttvEEURkydPludG\n",
"qzg7O+P27duIjIxEWFgYLCwskJ6ejn/++QebNm2CIAiYNGmS1mcrmzdvjvDwcERGRiI8PBwWFhZI\n",
"SUnBnj178Mcff8DCwgLTp09HnTp1NPq6urri3LlziIiIQGxsLKpUqYL79+/j119/xdGjR1GrVi1M\n",
"nz4d1apV0+tnlZmZyakfpBeCIKBGjRrIyMgwdChkJHhPkb7xniJ94v1E+iQIAqpXr27oMPRKkIw4\n",
"y8jJycHq1au1Toe1sbHBmDFj0KpVK619FQoFgoODceDAAbXymjVrYuzYsfDw8NB53qysLAQGBiI0\n",
"NFSt3NbWFr6+vsXunZOWloa1a9ciPDxcrbxJkyaYOHEibG1tdfZ9XklJSXxmk/RCEATY2dkhISGB\n",
"v8AgveA9RfrGe4r0ifcT6ZMoii/lZ31DMupkUyU+Ph6RkZF48uQJqlSpgkaNGsHV1VVtYSBdUlJS\n",
"cPnyZWRlZcHW1haenp4wNS3dukrx8fGIiIhAbm4uHBwc0Lp161Jv+hsdHY2bN29CqVTC2dm51IsC\n",
"PQ8mm6Qv/E+X9I33FOkb7ynSJ95PpE9MNskoMdkkfeF/uqRvvKdI33hPkT7xfiJ9MsZk02gXCCIi\n",
"IiIiIiLDYbJJREREREREesdkk4iIiIiIiPSudCvdED2jtAsdUeWiui94f7xafE6IiIiIyiMmm1Rm\n",
"qofhiXQxtofbyzsuTEFERETlEZNNem6JiYn8AZfIgARBYGJPRERE5RaTTXpukiQx2SQiIiIiIq24\n",
"QBARERERERHpHZNNIiIiIiIi0jsmm0RERERERKR3TDaJiIiIiIhI75hsEhERERERkd4x2SQiIiIi\n",
"IiK9Y7JJREREREREesdkk4iIiIiIiPSOySaREbl79y7s7e1hb2+P3377zdDhEBEREVElZmroAIio\n",
"0KRJk/D7778/d/+hQ4diypQpAABBECAIgr5CIyIiIiIqMyabROWEqakpTE21f0sqFAq1drr6q0iS\n",
"pN/giIiIiIjKiMkmUTmxdOlSLF26VGudt7c3QkND4eDggJCQEJ3HuHv37ssKj4iIiIioTPjMJhER\n",
"EREREekdk00iIiIiIiLSOyabREZu9+7d8Pb2hpubG5o0aYKePXtixYoVyM3N1dlHqVRi165dGD58\n",
"ODw8PODk5ISWLVvC29sbGzduRH5+vtZ+y5Ytk1fDBYDExET897//Rfv27eHs7Ix27dph/PjxuHnz\n",
"ptwnLS0NAQEB6NSpE5ydndGpUycsWrQIWVlZGsf38vKCvb09Ro8eDQC4efMmpk2bhg4dOsh9v/zy\n",
"S6Smpuq8NoVCgaCgIAwePBgtWrSAo6Mj3NzcMGjQIAQHBxf7vGt8fDzmzZuHHj16oFmzZmjSpAk6\n",
"d+6M6dOnIzIyUmc/1WeyfPlyAMD//vc/DBs2DO7u7nB2dkaXLl0QEBCAR48e6TwGERERUUUjSFxJ\n",
"pNJLSkpCQUFBqdsLggA7OzskJCRwIZpXpCzPbHbs2BGCIGDZsmU4f/48fvnlF7WVaVVfsw4dOuC3\n",
"336DKKr/zunBgwcYNWoUzp07BwBa+zZt2hQbN26Eo6OjWt9ly5ZhxYoVEAQBJ0+exLvvvoukpCT5\n",
"GKr+tWrVwr59+5Cfn48PP/wQ8fHxGm08PT2xa9cutfi8vLxw79499OvXDwMHDsS4ceOgUCi0Hn/L\n",
"li1wd3dXi+/Ro0cYMWIEzp8/r/PaBg8ejDVr1mh8tr/++itmzpyJvLw8tb6qfqIoYsqUKfD19dXo\n",
"a29vD0EQMHnyZJiYmGDJkiVaj+Hi4oK9e/eiatWqGsfQpjJ8L1aGa6RXi/cU6RPvJ9InURRha2tr\n",
"6DD0iiObREZIkiQEBQXhl19+gY+PD0JCQhAbG4t9+/ahQ4cOAIDQ0FDs3r1brV9+fj5GjBiBc+fO\n",
"QRAEjBgxAsePH8edO3dw5swZTJ48Gaamprh58yY++ugjPHnyROf5J02ahIyMDCxevBg3btxAeHg4\n",
"PvnkEwBAeno65syZg08//RQ5OTlYv349bt26hfPnz6N///4AgLCwMBw9elTr8ZOSkvDFF1+gVatW\n",
"+Ouvv3D79m1cu3YNK1asQN26dZGeno6RI0dqjBROnz4d58+fh5mZGWbNmoXz58/j9u3bCA0Nxdix\n",
"YwEAu3btwsmTJ9X6HThwAFOmTEFeXh4cHR3x3Xff4caNG4iJicHWrVvh5uYGpVKJJUuW4Oeff9b5\n",
"mRw5cgRLlixB//79cezYMcTFxeHo0aPo06cPACA6OlpnfyIiIqKKhskmkZG6fPkyRo0ahQULFsDe\n",
"3h6mpqZo2bIlNm7cCAsLCwDAoUOH1Pps2bIFly5dAgDMnj0bCxcuhLOzMwRBQIMGDTBlyhR51O/2\n",
"7dtYtWqVzvNfuHAB3333HT7++GNUrVoVVlZWmD9/PpycnAAAhw8fRlxcHH755Re88847MDc3R/36\n",
"9bF27VrUrl0bAHSO4p4/fx7Ozs7Yvn07PD09IYoirK2tMXToUGzZsgWmpqZISkrCd999J/fJyMjA\n",
"3r17AQCjR4/GuHHjUL9+fYiiiIYNG2L27Nn4+uuvsWjRItjY2Mj98vLyMGvWLACAo6Mjdu/ejb59\n",
"+6Jq1aqDFwW+AAAgAElEQVQwMzPDG2+8gV27dsHDwwMAsHDhQqSlpen8mvTp0wcbNmyAi4sLTExM\n",
"4OLigg0bNqBhw4YAgIMHD+r8TImIiIgqEiabZBBSQQGktNTy/acMU4vLozp16mD27Nka5dWrV0er\n",
"Vq0AALdu3VKr27RpEwCgVatW+Oyzz7Qe95133sHbb78NANi6davOaUNDhgxB165dNcrbtWsnvx43\n",
"bhxcXV3V6k1NTeWyO3fuaD22IAj46quv5KS5KDc3N/Tq1QsA8Mcff6j1UcWq65nTf//73/j444/R\n",
"rFkzuezQoUNISkoCAPj5+cmJcFGWlpb45ptvAAA5OTn4/ffftR7f3NwcixYt0ig3MTFB+/btAWh+\n",
"TYiIiIgqKu6zSYbxKB3K/35i6CiKJX79E1C7rqHDeG69e/eGmZmZ1rp69eoBgNo02PT0dNy4cQNA\n",
"YUJZnHfeeQf79+/H48ePERERATc3N402Q4YM0dq3bt3Cz1QQBJ1tatWqBaBwNFIbOzs7eSRRm44d\n",
"O2Lfvn2Ij49HWloaateujWrVqqFr1644fvw4fvjhBzx58gQfffQR2rRpU+y1njlzBgBQrVo1OYnV\n",
"xtXVFc7OzoiJicGZM2fkRYyKat++vXz9z6pfvz4A3ddMREREVNFwZJPISL322ms661QjgkUXhrp/\n",
"/7782sXFpdhjq+olSVLrpyIIgsaI5bPnrlq1qsYCQyrm5uYAdI9AlhSfajVcoHBFXJXly5ejefPm\n",
"UCqV2Lp1K9555x28/vrrmDZtGg4cOKD1fPfu3QMANG7cWG1BIW2aNm0KAFo/E6DsXxMiIiKiiowj\n",
"m2QY1rUKRw7LM+taho7ghVhZWems05Y0qbYaEQQB1apVK/bYRVdLzczM1NqmZs2axZ67rPEVVVJ8\n",
"lpaW8uuiW6jUr18f+/btw9atWxEcHIwbN24gISEBW7duxdatW1GvXj18+eWXGDRokNxHdX0lnRN4\n",
"+rnoGp20trbW2bekayYiIiKqaJhskkEIJiYVeopqRfDsliYlqV69OoDC0Updq8yqFE2matSo8Vzn\n",
"NzV9/n9+tO3BWVR2drb8+tkk0czMDMOHD8fw4cMRHR2NPXv24M8//0RUVBSSk5Mxfvx41K5dG2++\n",
"+SaAp9f3+PHjEuNSfW66Eumyfk2IiIiIKjL+5ENEAAAHBweYmJgAAMLDw4ttGxERAaBwNE61uuyr\n",
"dPPmzWLriy6yo1rlVRsXFxf4+vrin3/+waZNm+SprN9//73cpnHjxgCAmJgY5ObmFnte1ediiM+E\n",
"iIiIqLxhsklEAApHNj09PQEU7jWpVCp1tlWttlq/fn00adLklcRX1P3793Ht2jWd9fv37wdQmEwW\n",
"N123qO7du8ur58bHx8vlb7zxBgAgNzdXY1/SokJCQuRnNTt37lyqcxIREREZMyabRCT79NNPAQCx\n",
"sbFYvHix1jZBQUHy/pcjR458ZbE9y9/fX+tiOrt27cKFCxcAAN7e3nL5pk2b4OHhgY4dO0KhUGj0\n",
"S0tLw8WLFwGoL0D0xhtvoHnz5gCABQsWyAsGFZWeno4ZM2YAKFxJd/DgwS9wZURERETGgckmEcn6\n",
"9u0rJ0rr1q3D5MmTER0djYKCAty7dw8LFizAnDlzABTuZ6lte49XoU2bNoiIiMC///1vXL16FQqF\n",
"AqmpqVi7di0mT54MAHB0dMQnnzzdXqdDhw5IT0/H3bt34ePjg0uXLiE7Oxvp6enYs2cPhgwZguTk\n",
"ZAiCoJFEr1q1CpaWlkhNTcXAgQPx559/IjMzE7m5uTh69CgGDx6MW7duQRAELFy4UG2BIiIiIqLK\n",
"igsEEZGa5cuXAwB27tyJ7du3Y/v27RptWrdujaCgIJ37eL5sDRo0wBdffIFPP/0Uffr00ai3t7fH\n",
"5s2b1ZK+pk2bYv78+Zg7dy6OHTuGY8eOafQTRREzZ85Ep06d1Mrd3NywZcsW/Oc//0FiYiI+//xz\n",
"jb5mZmaYP38+BgwY8OIXSERERGQEmGwSVRBl2RqjpLbF1ZuZmWHNmjXw9vbG5s2bERYWhvT0dFSr\n",
"Vg2urq4YPHgw3nvvPa0rq5YmxtK2Kald9+7d8ffff2P58uU4d+4cnjx5AgcHB/Tr1w9jx47VulXJ\n",
"iBEj0LZtW/z44484e/asvAdn3bp14enpCR8fH3h5eWk9X/v27XHixAn88MMPOHToEG7fvg2FQgFb\n",
"W1u8+eab+PTTT+XFhJ7nurn1CRERERkbQZIkydBBkGElJSWVaSN5QRBgZ2eHhIQE8PahV8nLywv3\n",
"7t1Dv379EBgYaOhwDK4yfC9WhmukV4v3FOkT7yfSJ1EUYWtra+gw9IrPbBIREREREZHeMdkkIiIi\n",
"IiIivWOySURERERERHrHZJOIiIiIiIj0jskmEVUYpVmlloiIiIjKB259QkQVRmhoqKFDICIiIqJS\n",
"4sgmERERERER6R2TTSIiIiIiItI7JptERERERESkd0w2iYiIiIiISO+YbBIREREREZHeMdkkIiIi\n",
"IiIivWOySURERERERHrHZJOIiIiIiIj0jskmERERERER6R2TTSIiIiIiItI7JptERERERESkd0w2\n",
"iYiIiIiISO9MDR0AEb1ckiThypUruH79OlJTU2Fqaor69eujTZs2cHJyMnR4RERERGSkmGwSlRPL\n",
"li3DihUrAADbt29Hx44di21/+vRpvPfeewCAM2fOoGHDhmr1BQUF2LJlC1atWoWkpCStx+jQoQO+\n",
"/vprNGnSRK3c3t5ea3tRFFGlShVYWVmhYcOG6Nu3L3x8fGBhYVGqayQiIiKiyoPJJlE5IwgCBEEo\n",
"U/tnZWRk4NNPP8WJEycAADY2NnjjjTdgb2+P3NxcxMXF4ejRowgNDcXgwYNx8OBB2Nraaj2+qenT\n",
"fyaUSiVycnKQnZ2NpKQkhIWFYe/evfj1119haWlZxislIiIiImPGZJOonJEk6YX6FxQUwMfHB6Gh\n",
"oRBFEVOnTsXYsWNhZmam1i4xMRGDBg1CfHw8vvrqK6xevVrjWB07dsT27dvVytLT03Hu3Dn4+/vj\n",
"9u3bCAsLQ1BQED777LMXipuIiIiIjAsXCCIyMqtWrUJoaCgAYNasWZg4caJGogkAtra2GDduHABg\n",
"7969yM/PL9Xxa9Wqhd69eyMoKEge9Tx8+LCeoiciIiIiY8GRTSIjkpmZie+//x4A4OLigtGjRxfb\n",
"vk+fPrC2toYgCCgoKNCalOri4uICFxcXREZG4sGDBy8UNxEREREZHyabREZk9+7dePLkCQDgo48+\n",
"gigWP3nBxsYGAwcOfOHzNmjQ4IWPQURERETGhdNoiYzImTNnABQuGtS7d++Xeq579+7hxo0bAIBu\n",
"3bq91HMRERERUcXDZJPIiFy9ehUAUKNGjZe6h2ZeXh6mTZsGSZLg6OiIjz/++KWdi4iIiIgqpkox\n",
"jTY3NxdXr17F/fv3oVAoYGVlBRcXl5e+of3du3cRERGB3NxcNGrUCO7u7iVOa1SJjo5GVFQUlEol\n",
"mjRpghYtWrzUWMk4pKamAgDs7Oz0cryiK+MqlUokJyfj5MmTWLduHaKiomBnZ4dffvmF254QERER\n",
"vSApJ9vQIeid0SebZ8+eRWBgIDIyMjTqXF1dMXnyZFhZWWnUff755/IP7to0aNAAK1as0FqXlZWF\n",
"wMBAeUVQFVtbW/j6+sLZ2VnncdPS0rB27VqEh4erlTs7O8PX11fnXogVTYFSQnqOwtBhFKuWhSlM\n",
"xNLvd1kePH78GEDhyKY+hIaGolGjRgAKk82iunfvjm+//Vbr9w8RERERldHOTcDkLw0dhV4ZdbIZ\n",
"HR2NFStWQBRFDBgwQB4dvHnzJvbv34+IiAisW7cOM2bM0HmMVq1aaS2vW7eu1vK8vDwsWrQIUVFR\n",
"cHNzQ+/evWFhYYGwsDAcPHgQ/v7+8PPz05pwPn78GP7+/khMTISXlxfefPNNAEBISAhOnjwJPz8/\n",
"LFiwADY2NmX9KMqd9BwF/rPzlqHDKNaPg5ugbtXSr85anrzoXp3ajiUIgtr7o0ePYsCAAZgwYQKG\n",
"DBmit/MRERERVTbKM8chXgwtuWEFY9TJ5v79+6FUKvHBBx+orbjp6emJtm3bYs6cObh48SISExN1\n",
"jhjOmTOnTOfctm0boqKi4OHhgRkzZsg/oHt4eMDJyQmBgYFYtWoVli1bJu9RqPL9998jMTERPXv2\n",
"VNuyol27drCxscHOnTuxbt06+Pn5lSkmqjysrKyQmpoqr0j7ojp27Ijt27cDAHJycpCamorr16/j\n",
"4MGD+OOPPxAdHQ1fX1/cu3cPEydO1Ms5iYiIiCoLqaAA0rbvIB3bB9SpZ+hw9M6ok82BAweiV69e\n",
"cHBw0KhzcXFBw4YNER8fj7i4OL1MT3348CH27dsHQRAwcuRIOdFU6dGjB44ePYqoqCgcPXoUvXr1\n",
"kutiYmJw9uxZWFhYaF1sZejQoThx4gQiIiJw6dIleHh4vHC8hlTLwhQ/Dm5i6DCKVcuifH97KBSa\n",
"05BtbGyQmpqK+/fv6/18FhYWsLe3h729PXr16oVRo0Zh6NChSEtLw/LlyzFgwICX/hw0ERERkbGQ\n",
"HqdDuXIecDfW0KG8NEa9Gq2DgwOaNWuGqlWraq1X/bBelo3sixMSEgKlUokWLVroTF579OgBADh5\n",
"8qRaueq9l5eX1nhNTEzQtWtXrX0rIhNRQN2qZuX6z6t+XtPExER+/ezzkdrk5OTIr1X3cOvWrQEA\n",
"mZmZuHXr5U5TbtasGaZPnw6g8Htp9+7dL/V8RERERMZAUuRDue93KKeMeJpo1raBMH2RYQN7CYw6\n",
"2SxOTEwMEhMTIQiCvADKi7p+/ToA3c95AoC7uzuAwudJiyYUqr6q+uL6qvY2JONS9JcM2ha0elZS\n",
"UpL8ulq1agAKf1kBFD5XuX//fj1HqOn111+XX9+7d++ln4+IiIioIpMeJEM54QNIfwTLZUKnnhC/\n",
"+g5C3foGjOzlqJTJ5sOHD7Fq1SoAhSNB+lpw5+7duwAAR0dHnW3q1KkDS0tLKBQKeaqjJEmIj48H\n",
"gGITX1VdSkoK8vLy9BIzlR9Fp3vHxpY8nSIyMhIAYGlpKSeb/fv3h7W1NQBgy5YtJd4nd+7cwYYN\n",
"G7BhwwZkZ5d9ue3c3Fz5df36xvcPJBEREZG+SEollEtmAYr8wgJbe4iT/SGO9IVQZIabMal0yWZy\n",
"cjL8/PyQmJgIGxsbjBkzptj277//PkaMGAFfX1+sWrUK586d09n20aNHAHSvVKuiSm5V21Tk5OTI\n",
"SUFxfatWrQoLCwtIkiT3JePRtm1beR/WHTt2FLuirFKpxJEjRwCoj4ZbWlrK9/SdO3ewdOnSYs+5\n",
"d+9eLFiwAEuXLn2u6eS//PILgMKValWrJxMRERHRU5IkQQo7DeWs0cCDZACA0P99mASsg+DaxsDR\n",
"vVyVKtmMiorC7NmzkZiYCEdHR8yfPx+1a9fW2rZ58+Zo1aoVmjVrhtq1ayMlJQWnT5/G0qVLERAQ\n",
"oPa8nIpqZMjCwqLYOFT1qmMUHVEqbd/nGYWi8q1evXro168fACAiIgJffPEFMjMzNdrl5uZi1qxZ\n",
"iI+PhyAIGgtKjR8/Hh06dAAArFu3DgsXLtR6v4aHh2PNmjUAgAEDBmisjqzLkydPcObMGYwZMwab\n",
"N28GAPTs2RNt27Yt/cUSERERVQJS7E0oJ34A5frFcqIJ1zYQBnxk2MBekfK93KYe/fPPP/jhhx9Q\n",
"UFCADh06YNy4cahSpYrO9hMmTFB7n5OTg5CQEGzevBnXrl3D999/r9Hm2X0IdXm2/tlVa0vjefpQ\n",
"+bdgwQJERUXhxo0b2L59O/7++29069YNjRo1goWFBRISEnD8+HEkJSVBEAQMGzYMgwYNUjuGKIoI\n",
"CgrCqFGjcOLECaxfvx7btm1Djx490LBhQ2RkZODGjRs4deoUgMJp37q2+AkJCVGb2i1Jktr9qxrR\n",
"XL9+/Uv4NIiIiIgqJunqeSh/XgU8efS00MQEwuDhEP41oNL8LF8pks1du3Zh69atEAQBH374ocYP\n",
"56VhYWGB7t27w8bGBgEBATh58iQ+/PBDtWmvlpaWyMjI0DqKVJSq3tLSUu1vVZ2u1XOL9i1pBBQA\n",
"8vPzkZ+fr7VOEAT5vIIglOmGryzfHIZQp04d/P333wgMDMSvv/6K+Ph47Nu3T62NIAhwdHTEtGnT\n",
"dN7L1apVw5YtW7B582asXr0aSUlJ2LFjh1obURTRt29fLFy4UOsIv7ZfnoiiCEtLS9SvXx8tW7aE\n",
"t7c3unfv/qKXTS/ImL8nVddmzNdIrxbvKdIn3k/0LEmSIB3cCeX2n9XKhTd6Q/zoMwjFPLZU9D7K\n",
"zs4udgDLzMxMbztqvExGn2yGhoZi69atMDU1ha+vL9q3b/9Cx2vZsiWcnJwQFxeHyMhIdOnSRa6r\n",
"WbMmMjIykJqaWux+g6mpqQAgL+RSpUoVVKlSBbm5uUhJSdG5wFBmZiZycnIgiiKsrKxKjHXnzp34\n",
"/ffftdbVrl0bGzZsAFA4fZPKD0tLS0yaNAmTJk3ClStXEBsbi+TkZOTm5qJ27dpo2bJlsasWq4ii\n",
"iOHDh2P48OG4fPkyIiMjkZqaCjMzM9jZ2cHLy0vn1161YBVVDPrYJ7i8qwzXSK8W7ynSJ95PpJK2\n",
"egEyD+yS39eetgBV3+hV5gWAJk+ejLS0NJ313t7eeO+99547zlfFqJPNnJwc/PjjjwCATz/99IUT\n",
"TRU7OzvExcVpbE/h4OCA+Ph4xMXFoV27dlr7pqSkIDs7G+bm5rCzswNQ+FsMBwcHREdH4/bt2zqT\n",
"zdu3bwMoTA7Nzc1LjHPw4MHo37+/1rqivzlJTk5GQUFBiccr2pf/qL4a7u7upUosS9K6dWt5D04y\n",
"PomJiSVO36+oVP/eGPM10qvFe4r0ifcTqUhKJZRbNkA6/nRGmsn0xXj8mhseJyeX6hiiKMqr+69Y\n",
"saLEkc2KwKiTzUOHDuHx48do3749unXrprfjqrZ7eHa6q6urK0JCQnD58mV4e3tr7Xvp0iUAwGuv\n",
"vaaW8Lm6uiI6OhqXLl3Suaqnqm+LFi1KFWdph9effQ6PiCqWyvA9XBmukV4t3lOkT7yfKi+poAC4\n",
"dAbKn1YAef+/JZyJKcRlwUC16mW6L4q2LfqYXUVm1KvRqraGKOszmnfv3pX3zHxWXl4ebty4AQBw\n",
"dnZWq+vYsSNMTU0RFRUlj0IWJUkSDh8+DADo3LmzWp1qOu7Zs2e1bmuSl5eH48ePq7UlIiIiIiLD\n",
"kO7dhvLzoVBuWPw00WzoCPHrHyFUq27Y4MoJo002s7KykJCQABMTE53TUnVZsGABpk6diqioKI26\n",
"P/74A5mZmXB2doa9vb1aXY0aNdC3b18AwMaNGzWmpu7btw9xcXFo0KABunbtqlbn6OiIjh07Ij8/\n",
"H8HBwRrn3bp1Kx4+fAg3Nze0bNmyTNdDRERERET6ozy6F8p5E4ACRWFBnXoQfHxhMm8NBOtahg2u\n",
"HDHaabSq/QklScKiRYuKbevo6Ijhw4fL7/v164ctW7Zg8eLF6NOnD1xcXFBQUIDTp0/j1KlTEEUR\n",
"Pj4+Wo81dOhQREZGIiIiAvPnz8fbb7+NKlWqICwsDIcOHYKFhQUmTJgAEy0PCX/yySeIjY3FiRMn\n",
"kJWVhR49egAATpw4gdDQUNSqVQtjx459zk+EiIiIiIhelHLjakinDsvvhfdHQfzXAANGVH4ZbbKp\n",
"mvOsVCpx7dq1YtsqlUq19wMGDEBOTg527dqlsZqrtbU1Ro8ejWbNmmk9lrm5OWbOnInAwECEhoYi\n",
"MjJSrrO1tYWvr6/G9FsVKysr+Pn5Ye3atbhw4QIuXLgg1zVp0gQTJ06EjY1NsddCRERERET6Jz1K\n",
"h/Tbj5DO/k8uEyf6QWjV1oBRlW+CxKeZdXr06BGuXr2K1NRUmJiYwM7ODu7u7qVaCRYo3D4iIiIC\n",
"ubm5cHBwQOvWrUu9D1N0dDRu3rwJpVIJZ2fnUi8K9DySkpLKvBqtnZ0dEhIS+DA8kQFVhu/FynCN\n",
"9GrxniJ94v1UeUgJ8VB+OU6tTFyxGUL1krcjLC1RFI1uxwejHdnUB2tr6xdajMfe3l7juc7ScnFx\n",
"gYuLy3Ofm4iIiIiIXpx0/TKUy+c+LbBvDHHSPL0mmsaKySYREREREZEW0oNktURTGDwMYt+hBoyo\n",
"YmGySUREREREVIQUFQ7l7z8DsU93pxDHz4XQ+nUDRlXxMNkkIiIiIiICIOXnQ/pxOaQLp9TKhXc+\n",
"ZKL5HJhsEhERERFRpSYplZD+3AJp73a1cqFbXwgDPoRQw9pAkVVsTDaJiIiIiKjSkh4kQzljlHqh\n",
"rT3ECXMg1GtgmKCMBJNNIiIiIiKqdKTMJ1B+NRVITnhaaGpa+GymWxvDBWZEmGwSEREREVGlIeXm\n",
"AuFhUK5fpFYudO8H4cPREATBQJEZHyab9Nz4jUhkWPweJCIiKhspPg7KDV8DSffkMuH1NwqTTD6X\n",
"qXdMNum52draGjoEIiIiIqJSUe75DdKuzWplwvv/gfivgQaKyPgx2aQykyQJCQkJJTekSkcQBNja\n",
"2iIxMRGSJBk6nEqDnzUREVHxlBtXQzp1WH4vtH8TwqgpnCX0kjHZpOfCH26pOJIk8R4hIiIig5MS\n",
"4qFcPhd4+EAuExf/CKGOjQGjqjyYbBIRERERkVGRJAnSpm8hnTioVi6u2AyhupWBoqp8mGwSERER\n",
"EZFRkLIyIG3/GdKFU0B2llwu9BkCYcC/IZgy/XmV+GkTEREREVGFJ4WdhnL9YvVCU1OIC7+DULuu\n",
"YYKq5JhsEhERERFRhSXl5kDa9zukPb89LaxnB6HdGxD6vw/BzMxwwVVyTDaJiIiIiKjCkXKyIO0I\n",
"hnRsr1q5MHw8xDd6GygqKorJJhERERERVShSfByU/hPVC5u1gvjhaAgNHQ0TFGlgsklERERERBWC\n",
"JEmQfv0B0pHdTwttG0L08YXQpLnhAiOtmGwSEREREVG5JyXdh3LBZCAnWy4TvH0gvvWuAaOi4jDZ\n",
"JCIiIiKickuSJEib10H634GnhRaWEL9YAKFxU8MFRiVisklEREREROWSFHMDykXT1MqEnu9AeO8/\n",
"EETRQFFRaTHZJCIiIiKickVKTYK0azOkM8efFlrXhjhpHgR7J4PFRWXDZJOIiIiIiMoN6VE6lDM/\n",
"VSvjdiYVE5NNIiIiIiIqF6SURChnjZbfCx26Q3hrMEczKygmm0REREREZFBS8n0o1y0C7t2Wy4R+\n",
"70Ec9LEBo6IXxWSTiIiIiIgMQoq5AeXvPwM3I9TKhS69IAz8t4GiIn1hsklERERERK+U9PABpJ2b\n",
"IZ0+olYuvNEbwoAPIdSsY6DISJ+YbBIRERER0Ssh5WRBGfgNcC1MrVwY8BGEzv+CULuugSKjl4HJ\n",
"JhERERERvXRScgKUX44DCgqeFrq0gPjhGAiNnA0XGL00TDaJiIiIiOilkfLzIW1ZB+lUkSmzrm0g\n",
"jpsFoUoVwwVGLx2TTSIiIiIi0jupoADStu8gHdunVi54j4T41mADRUWvEpNNIiIiIiLSK0mRD+Ws\n",
"MUB66tNCG1uIM76GYFXLcIHRK8Vkk4iIiIiI9EK6cwvK4G+B29Fq5WLAOgi29gaKigyFySYRERER\n",
"Eb0QSamEtGsTpH071CtatYM4YS4EQTBMYGRQTDaJiIiIiOi5SZIE5eLpQGzU08I2HSB6j4RQz85w\n",
"gZHBMdkkIiIiIqLnojz8J6Rff1QrExf/CKGOjYEiovKEySYREREREZWJ9OQxpD2/Qjqy+2lhq3YQ\n",
"x8+GIJoYLjAqV5hsEhERERFRqUk3rkK5dLZamThtEYTX3AwUEZVXTDaJiIiIiKhUpPx8KFf7Py1w\n",
"bQPxozEQ6jcwXFBUbjHZJCIiIiKiEknXwqD8bgmQlwcAECd+CaFVOwNHReUZk00iIiIiItJJepgG\n",
"ZeA3QHSEXCa078pEk0rEZJOIiIiIiLSSUhKhnDVarUz44FMI3fsZKCKqSJhsEhERERGRBmXoMUg/\n",
"Ln9a4NIC4ujpEGrVMVxQVKEw2SQiIiIiIpmUkgjlwilA5hO5TOg9COLQTwwYFVVETDaJiIiIiAjK\n",
"4/shHdwFJN9XKxcnz4fg6mGgqKgiY7JJRERERFSJSZIE6ZcNkI7tUysXuveF8OEYCIJgoMioomOy\n",
"SURERERUiUmbvoV04qD8Xvh4HASvNyFYVDVgVGQMmGwSEREREVVSUlS4WqIpzl8Hwc7egBGRMWGy\n",
"SURERERUyUiSBOm3nyAd/rOwoGo1iMuCIZiaGTYwMipMNomIiIiIKhEpMwPKgEnAg2S5TBzpy0ST\n",
"9I7JJhERERFRJSAVFEDa/hOkI7vVysWpCyE0a2WgqMiYMdkkIiIiIjJikiRBOvs/SDs3qY1mwrMT\n",
"xDHTIIgmhguOjBqTTSIiIiIiIyYFrYZ06sjTgnp2ED+bAcGhseGCokqBySYRERERkRGScrKhXLsA\n",
"uHG1sMDcHMKAjyD06A/BzNywwVGlwGSTiIiIiMjISDnZUE4fCWRnFRZUsYC4YgsEMy4CRK+OaOgA\n",
"iIiIiIhIf6Trl6Gc8P7TRNPGFuKKzUw06ZXjyCYRERERkRGQlEpIW9ZD+t8BuUzo1hfivz8zYFRU\n",
"mTHZJCIiIiKq4CSlsnDvzPg4uUwcMx1Cuy6GC4oqPSabREREREQVmHT1PJSb1wFpqYUFjZwhjpsN\n",
"oY6NYQOjSo/JJhERERFRBSTl5kA53xdITnhaaOcAcc4KCIJguMCI/h+TTSIiIiKiCka6cwvKJbOA\n",
"nGy5TPjXAAhDRjDRpHKDySYRERERUQUh3b8D5Y/LgTsxTwvdX4fJhLmGC4pIByabRERERETlnHTv\n",
"DqS/t0E6f1KtXOg9GMKQEQaKiqh4TDaJiIiIiMox5clDkILWqJUJb/SG8OEY7p1J5VqlSDZzc3Nx\n",
"9epV3L9/HwqFAlZWVnBxcYGTk1OJfZOTk3HlyhVkZmaiQYMGaNOmDUxNS/ex3b17FxEREcjNzUWj\n",
"RmSWGVMAACAASURBVI3g7u4OURRL1Tc6OhpRUVFQKpVo0qQJWrRoUap+RERERGQ8lD+ugBR6VH4v\n",
"tH8TQh9vCPZOhguKqJSMPtk8e/YsAgMDkZGRoVHn6uqKyZMnw8rKSqNOoVAgODgYBw4cUCuvWbMm\n",
"xo4dCw8PD53nzMrKQmBgIEJDQ9XKbW1t4evrC2dnZ51909LSsHbtWoSHh6uVOzs7w9fXF7a2tjr7\n",
"EhEREZFxkCQJ0tbv1BJN8b+LIbi4GjAqorIRJEmSDB3EyxIdHY25c+dCFEX07dtXHh28efMm9u/f\n",
"j6ysLLRp0wYzZsxQ66dUKrF8+XKcO3cOTk5O6N+/P6ytrREREYE9e/ZAoVBg2rRp8PT01DhnXl4e\n",
"AgICEBUVBTc3N/Tu3RsWFhYICwvDwYMHUaVKFfj5+WlNOB8/foy5c+ciMTERXl5eePPNNwEAISEh\n",
"OHnyJGrWrIkFCxbAxka/eyYlJSWhoKBAr8ekykkQBNjZ2SEhIQFG/E8LvUK8p0jfeE+RPr2M+0l6\n",
"kALpn92QTh4Gsv5/sEQUIa7aCsHCUi/noPJJFEWjG1gy6pHN/fv3Q6lU4oMPPsDAgQPlck9PT7Rt\n",
"2xZz5szBxYsXkZiYqPaFPXjwoJxoBgQEwNzcHADg7u4OV1dXLFy4EN9++y1WrlyJGjVqqJ1z27Zt\n",
"iIqKgoeHB2bMmCEvPe3h4QEnJycEBgZi1apVWLZsmcZ03O+//x6JiYno2bMnRo8eLZe3a9cONjY2\n",
"2LlzJ9atWwc/Pz+9f1ZEREREZFhS5BUol81RL6xTD+KUBUw0qUIq3QOEFdTAgQMxf/589OrVS6PO\n",
"xcUFDRs2BADExcXJ5QqFAtu3bwfwf+zde0BUZf4G8Oec4TLc7wgIgogYqGjmJbO0TM0s2yzNaqvd\n",
"2i5rpm7b1mabkVnb7ddt1y522cwt7WaWbZlaWt7wsijeUJAEBLmDMMAwDMx5f3+wDBxnUISBA8Pz\n",
"+WeZ73veme/Q2ZFnzjnvAe68805r0GyWlJSECRMmoKamBt9++61qrLKyEhs2bIAkSbj77rtt7nE0\n",
"efJkxMfHo6ioCFu3blWNnTx5Env37oVer8cdd9xh0++cOXMQHByM9PR0pKWltf+XQEREREQ9mjDW\n",
"QlnzrjpojhoP+c/LoHvhfUghznW0i/oOpw6bUVFRGDJkCDw9Pe2ONzY2AgBcW63ilZaWhpqaGoSE\n",
"hGDYsGF2502ePBkAsHPnTlU9JSUFiqIgISGhzUPgzXN37FAvW938eNy4cXb71el0mDRpkt25RERE\n",
"RNQ7icpyKItug9jyH2tNuv9R6OYthpQwQsPOiDrPqcPmuZw8eRJFRUWQJAkDBgyw1o8fPw4AGD58\n",
"eJtzL7roIri6uqKsrAxlZWXW+rFjx847NykpCUDT9aSKotjMbR4/19yMjIw2tyEiIiKi3kH59lMo\n",
"j97dUhgyHPKz70Aec4V2TRE5UJ8Mm5WVlXjjjTcAACNGjFAtuJOXlwcAiI6ObnO+i4sLwsPDVdu3\n",
"d25QUBA8PDzQ2NiIgoICAE2rjeXn5wOAKvierXmstLQUZrO57TdIRERERD2WEAKWl5+AWL/aWpNu\n",
"ugu6vzwHqV+Ehp0ROVafC5slJSVITk5GUVERQkJC8MADD6jGKysrAQDBwcHnfJ7mgGowGKy1qqqq\n",
"Ds01mUzW8HiuuZ6entDr9RBCqF6XiIiIiHoHUVIIZcFcIPNIU0GWIT/6PORrZ2vbGFEXcOrVaM+W\n",
"mZmJl19+GQaDAdHR0Xj88ccRGBio2sZkMgEA9Hr9OZ+rebyurs5aa/65vXObX6v1c7RnrslkUs0h\n",
"IiIiop5NWCxQXk8Gjh9qKYaEQX72HUhynzv+Q31EnwmbW7Zswfvvvw+LxYJLL70UDz74INzd3dvc\n",
"/nz3Smoeb73ibPPP7Z179rwL0ZE5RERERNS9hKJAbPyq6ZTZ/y1OCQDSlTMgzb2XQZOcWp8Im19/\n",
"/TXWrFkDSZJw22234cYbb2xzWw+PpnsYNR91bEvzePP2zT/X1NRc8NzWz2EymdpcPbf13PMdASUi\n",
"IiIibYn9KVDefl5dDAqF/OSrkLx9tWmKqBs5fdjcvXs31qxZAxcXFyxatAhjx4495/b+/v4AoFpl\n",
"1p7mcT8/P9XcmpoalJWVISYmpt1z3d3d4e7ujvr6epSWlra5wFBtbS1MJhNkWYav7/k/oBoaGtDQ\n",
"0GB3TJIka8iVJIlHSskhmvcj7k/kKNynyNG4T5Ej2dufhBAQu7ZA2bQOOJ3bsvHgoZCn3wQpaQz3\n",
"P7Kr9X5RV1d3zrMlXV1dVbdv7KmcOmyaTCZ88MEHAID77rvvvEETaFrx9cCBA8jJyWlzm4aGButK\n",
"sq1Xj42KikJ+fj5ycnIwevRou3NLS0tRV1cHNzc364q2kiQhKioKWVlZyM3NbTNs5uY2fWCFhobC\n",
"zc3tvO9l3bp1+PLLL+2OBQYG4p133rE+H5EjtXWfWaKO4j5FjsZ9ihypeX8y52Sh5LH7IGqrVeMh\n",
"z70F/cjz/x1K1Ozhhx9GRUVFm+OzZ8/GLbfc0o0ddYxTh83NmzfDYDBg7NixuPLKK9s1JzExEd98\n",
"8w0OHz4MIYTdb56OHj2KxsZG9OvXDwEBAaq5KSkpOHjwIGbPtr+iWFpaGgAgPj5e9dyJiYnIyspC\n",
"WloaJk6ceM65CQkJ7Xovs2bNwvXXX293rPVrl5SUwGKxtOs5ic5FkiSEhYWhqKjovNcuE7UH9yly\n",
"NO5T5EjN+1Nh6h5YvvscYs8vLYP+gZDGXAF5+s044xcAFBZq1yj1CrIso1+/fgCA11577bxHNnsD\n",
"pw6bP/30EwCc8xrNsyUlJcHX1xfl5eVITU21e4Ry06ZNAIAJEyao6uPHj8dHH32EzMxMu0cohRD4\n",
"8ccf7c69/PLLsX79euzduxcGg8HmNFmz2YxffvnFum17tPfwuhCC/+CSQ3GfIkfjPkWOxn2KHMWY\n",
"8jMan/2LqiZdPRPSLX+wLv7DfY3ao/V+0npNl97MaZe/MhqNKCwshE6na/O0VHtkWcacOXMAAKtX\n",
"r7ZZ7Gffvn1ITU2Ft7e3zVFDHx8fzJgxAwCwcuVKm6OFGzZsQE5ODiIiIjBp0iTVWHR0NMaPH4+G\n",
"hgasWrXKpq81a9agsrISQ4cOxbBhw9r9foiIiIioayg/rkd5q6ApXT4VcvIbkG+9j6vMEsGJj2zW\n",
"1tYCaPqG4Pnnnz/nttHR0bjrrrusj6dOnYpDhw5h3759WLJkCWbOnAlfX1+kp6fju+++g06nw/z5\n",
"8+Hl5WXzXHPmzMHx48eRnp6OZ555BtOnT4e7uzv279+PzZs3Q6/XY8GCBdDpdDZz77nnHmRnZ2P7\n",
"9u0wGo2YPHkyAGD79u3YvXs3AgICMG/evM78WoiIiIiok0RRPpTVK4BjB601efHLkGKHaNgVUc8j\n",
"CSc9rl9SUoIFCxa0a9vExEQkJyerao2NjVi1ahU2btyoqvv7+2PevHkYOXJkm89nNBqxYsUK7N69\n",
"W1UPCwvDokWLEBsb2+bciooKLF++HEePHlXVBw0ahIULF3bJggbFxcW8ZpMcQpIkhIeHo7CwkKcM\n",
"kUNwnyJH4z5FnaVs/R5i9TuqmvznZZASRmjUETkLWZadbvEypw2bjlJaWoqDBw/CaDQiLCwMo0aN\n",
"gotL+w4I5+fnIz09HfX19YiKisKIESPavdR1VlYWTpw4AUVREBsb2+5FgTqCYZMchX/EkaNxnyJH\n",
"4z5FHSGqqyDS0yBStgBHD1jr0pQbEHH/n1FsqOb+RJ3mjGHTaU+jdZSQkBBMmTKlQ3MjIyMRGRnZ\n",
"oblxcXGIi4vr0FwiIiIi6jxRVgzl0/eAg3ttxuQlr0OOHgTZyxswVNuZTUQMm0REREREZxHlpVAW\n",
"36cuBoVCGnMFpOk3Q/Ly1qYxol6EYZOIiIiIqBXRYIaytGXtD2ncJEjX3QIpPErDroh6H4ZNIiIi\n",
"IqJWxIdvAHVGAIB0w+2QZ96qcUdEvRNvAERERERE9D/KLz9A7Nve9GDUZQyaRJ3AI5tERERE1OeJ\n",
"agOUV58E8nOaCpIE+Z4/adoTUW/HsElEREREfZrde2c+9QYkd71GHRE5B4ZNIiIiIuqThKESyj+e\n",
"AXKzrDXpkgmQ7vsLJJ1Ow86InAPDJhERERH1OeLX41BeeKyl4O0D+b5HISWO1K4pIifDsElERERE\n",
"fYZQLBAb10F8taqlOHw05PsfhaT30K4xIifEsElEREREfYIoK4by7J+B2mprTZr7B8hTfqNhV0TO\n",
"i2GTiIiIiJyeyDwK5eXFLYXAYMh/fBzSwHjtmiJycgybREREROTURO6vqqApXXY1pN8tgCTzlvNE\n",
"XYlhk4iIiIicljh2EMqrS6yPpfsfgzzmcg07Iuo7GDaJiIiIyOmIxgYo/1wGpKdZa9K9jzBoEnUj\n",
"hk0iIiIiciqithpK8gKgqsJak//4OKRLLtOwK6K+h2GTiIiIiJyGsvEriC9XthQiYyA//jIkd3fN\n",
"eiLqqxg2iYiIiKjXE4ZKiE/fg9i33VqTLpkA+Y9/1bAror6NYZOIiIiIeiWhKEDmESj/+QzIOKwa\n",
"k599B1K/CI06IyKAYZOIiIiIehmRlw3lg1eB07m2g8NHQ/7dAkh+Ad3fGBGpMGwSERERUa+hbPsB\n",
"4t9vqYseXsCQ4ZDvXgjJ01ubxojIBsMmEREREfUKIjtTFTSliddAmjwTUv8BGnZFRG1h2CQiIiKi\n",
"Hk/ZtwPi3Zesj+Xkf0CKjNGuISI6L4ZNIiIiIuqxRNFpKK8nA+Ul1pq86GkGTaJegGGTiIiIiHok\n",
"UXUGypJ5qpo8bzGkYaM06oiILgTDJhERERH1OCI3C8qzf7Y+lqb+BtKceyBJkoZdEdGFYNgkIiIi\n",
"oh5DKBaIf70OsecXa026+XeQp9+sYVdE1BEMm0RERETUY4j/fKYOmnfOhzzxGg07IqKOYtgkIiIi\n",
"Is2JBjOUt18ADv+3qeAXCPmZNyF5emnbGBF1GMMmEREREWlKCAHlhb8Cp35tKri4Ql7yGoMmUS/H\n",
"sElEREREmhGF+VDef6UlaAYGQ37mLUjuem0bI6JOY9gkIiIiIk2I07lQnl7QUgiPgvz0PyHJsnZN\n",
"EZHDMGwSERERUbdT1q+B+HaN9bE0bRak6+cyaBI5EYZNIiIiIupWyvdfqIPmHx6GfOlVGnZERF2B\n",
"YZOIiIiIuo2yawvEun9bH8sv/gtSYLCGHRFRV2HYJCIiIqJuIU5mQHz4uvWx/NKHkAKCNOyIiLoS\n",
"wyYRERERdSlRbYDy3J+B8hJrTV7yOoMmkZNj2CQiIiIihxNCQPzwFUTqTiA3q2VAkiDd9gCkAbHa\n",
"NUdE3YJhk4iIiIgcSpQUQHn+MaDGoKpLl0+F/LsFbcwiImfDsElEREREnSbqjBC7foI4sBvIONwy\n",
"4K6HNOsuSJeMh+TP02aJ+hKGTSIiIiLqFFFwCkryQzZ16Te/hXTdLZAkSYOuiEhrDJtERERE1GFi\n",
"/y4ob7/QUhgYD2n4aEjTboTkrteuMSLSHMMmEREREXWIOHZQFTSlex+BPG6Shh0RUU/CsElERERE\n",
"F0SUFkFZ+QaQedRak5e8BmnAIA27IqKehmGTiIiIiNpN+elbiE/fU9XkPy1l0CQiGwybRERERHRe\n",
"osEM5ZUngV+PtxRHjYc89TeQ4hK1a4yIeiyGTSIiIiJqk2gwQ+z+GWLVclVdfvYdSP0iNOqKiHoD\n",
"hk0iIiIisksc2A3lrb+riyFhkP/2KiQvb22aIqJeg2GTiIiIiFREQwPEd59BfPd5S9HHD9KkayH/\n",
"5nbtGiOiXoVhk4iIiIisRGEelKfmq2rSH/4M+dIrtWmIiHothk0iIiIiAgAom7+B+PyDlkJ0HOQ/\n",
"PAwpPEq7poio12LYJCIiIurjhLEGyodvAGl7rDXp9gcgX3Wdhl0RUW/HsElERETUh4kj+6G88bSq\n",
"Jie/ASlyoDYNEZHTYNgkIiIi6qNEfo46aA6IhfynZyD5+GrWExE5jw6HTYvFgqysLEf2ojJkyJAu\n",
"e24iIiKivkwcPwTliw+BU79aa/Jf/g5pyDANuyIiZ9PhsFldXY2nnnrKkb2ofPbZZ1323ERERER9\n",
"kWgwQ3n5CSA7U1WXbr2fQZOIHK7DYdPFxQUJCQnt2laSJACAEOKCticiIiIixxDmeijP/AkoPm2t\n",
"SVfPhDRtFqTAYA07IyJn1eGw6e3tjaeffvqc25SXlyMjIwOZmZnIysrCNddcgyuuuKKjL0lERERE\n",
"F0hYLBA7NkN8/FZLMToO8uMvQXLh8h1E1HW65BPm888/x44dO1BcXAxJkhAeHo7o6Gjo9fqueDki\n",
"IiIiskM0NEB54n6gsrylGB0H+a8vMmgSUZfr1KfMli1b7NZTUlJQV1eHcePGYciQIfDw8ADQdJ1n\n",
"W3OApqOlY8eO7UxLRERERARAFJ2GsmReS8HNHdJvfgt52o3aNUVEfUqnwuaKFSvOOb5nzx7s2bPn\n",
"nNu0FhUVxbBJRERE1EmiKB/KkgdbCiPGQvfQk9o1RER9UqfC5rx58867TWNjI/Lz81FUVIQBAwYg\n",
"IiKizW29vb070w4RERFRnyYazBDffgqx4UtrTbruFsg33qFhV0TUV3UqbF555ZV26//9739x8OBB\n",
"ZGRkIC8vD4qiAADi4+PbnENEREREHScqyqC8vBgoK7bWpDsehDxpuoZdEVFf1qmwWVZWZlMTQuD9\n",
"99+H0WjEsGHDMHHiRMTGxiIyMhK+vr6deTkiIiIiskNZ9zHE95+3FMIiIf9+IaRBF2nXFBG1S3W9\n",
"BV8cKUPWGTNW3hWmdTsO1amwOX/+/HOOp6amIjU11fpYr9fDy8sLPj4+6N+/P2JiYhATE4MhQ4bA\n",
"3d29M60QERER9UnKpnXqoDk4EfIjz0HS6bRriojO62iJEd8cq8Ce/BoAQKi38+WhToXNCRMm2K1L\n",
"kqR6bLFYYLFYYDabYTQaUVlZid27d2Pnzp0AADc3N4waNQpXXHEFRo8e3ZmWiIiIiPoMZd2/Ib7/\n",
"wvpYfuF9SEGhGnZEROfy1dFypORV41RVPUyNQjUW5uOqUVddp1Nhc+HChXbrq1evRnZ2NgICAhAY\n",
"GIjAwEAMHjwY0dHRkGUZQFMAzcvLQ2ZmJtLS0rB3717s3r0boaGhmDFjBq699trOtKa5vLw8pKen\n",
"o76+HgMGDEBSUpL1vZ9PVlYWMjMzoSgKBg0ahISEhC7uloiIiHoTUXAKyvuvAHnZ1pq87G0GTaIe\n",
"RAiBktoGHC2pw45cA46X1aHWrKi20bvImBTji5sSAxHhp9eo067TJXfzDQ4OhsFgQGVlJU6ePInC\n",
"wkI0NjZi5syZuOOOptXQdDqd9TTaadOm4cyZM9i4cSN++OEH5ObmOqwXs9mMTZs2Yf369aiqqsKk\n",
"SZPw4IMPnnPO/Pnz7V6P2iwiIgKvvfaa3TGj0YgVK1Zg9+7dqnpYWBgWLVqE2NjYNp+3oqICy5cv\n",
"x9GjR1X12NhYLFq0CGFhznUONxEREV04cSIdykuPq2ry0uWQwvpr1BERnS2zrA5Pb82zCZfN7h4V\n",
"gkGBegzv59XNnXWvToXNpUuXAgAeeeQR1W1LUlJSrD/7+PjAw8MDOTk5SE1Nxa+//nrO5wwJCUFJ\n",
"SUln2rLasmUL1qxZA4PB0KH5w4cPt1sPDg62WzebzXj++eeRmZmJoUOHYtq0adDr9di/fz82bdqE\n",
"pUuXIjk52W7gNBgMWLp0KYqKijBu3DhMnDgRQNPvcseOHUhOTsazzz6LkJCQDr0XIiIi6t1E0WmI\n",
"b9dA7N1mrUljroB010OQ9B4adkZEzbaerMKnh8tQVNOgqod5uyLMxw2XRnrjmsH+kM+67NBZdSps\n",
"pqenA2g6JdZe/WwFBQUoKCg47/O2FeYu1LZt22AwGJCUlITg4GBs2bLlguY/+eSF3fz4008/RWZm\n",
"JkaOHInHH3/ceu3qyJEjERMTgxUrVuCNN97AK6+8AhcX9a/+vffeQ1FREa6++mrcf//91vro0aMR\n",
"EhKCdevW4a233kJycvIF9URERES9mzAZobzwV+C0+swv6f7HII+5XKOuiKhZXYOCnacM2JRVhYyy\n",
"OtXYNXH+mDe2n82aNn1Fl5xG22zJkiXw9PQE0HTO8nPPPQc/Pz8sWLAAQgg88cQTCA4OxiOPPGJ9\n",
"LMsy/vrXvzrk9S+77DLce++9iIyMxM8//3zBYfNCVFZWYsOGDZAkCXfffbfNDjV58mRs3boVmZmZ\n",
"2Lp1K6ZOnWodO3nyJPbu3Qu9Xm89zbi1OXPmYPv27UhPT0daWhpGjhzZZe+DiIiIegZRXw+xczPE\n",
"2o8Ac33LQPxQyHfOhxQWqV1zRH1crdmCtKJa7MuvwdZs9VmUehcZCy8Nw2UDfPpsyGzmkLD5t7/9\n",
"ze7iNytWrLD+goUQqK2txahRo1Snkbq5udmcVjpgwABHtIVp06Y55HnaIyUlBYqiIDExsc1rKydP\n",
"nozMzEzs2LFDFTZ37NgBABg3bpw1nLem0+kwadIkrF27Fjt27GDYJCIicnKithrKU/MBQ2VLcdR4\n",
"yA88BknmLU2ItLLrlAFbsw3Y+7/blbQW6euGiTG+uCkxCK66vh0ymzkkbI4bNw56fdPqSUIIrF27\n",
"1lpvff/MgIAAXH65c57ucezYMQBtX+cJAElJSQCaVptVFMUa0JvnNo+3NXft2rXIyMhwVMtERETU\n",
"A4lqA5SlC1uCpocX5LsXQbr4Um0bI+pjLIrAthwDMsvrUGWy4FCxEdX16ssHgzxdMKa/N64c6IuE\n",
"ENuDRn2dQ8JmQUEBXF1t7wtTVlaGwMBA+Pn5ISAgAEOGDLGGUmeTl5cHAIiOjm5zm6CgIHh4eKCu\n",
"rg4FBQWIjIyEEAL5+fkAzn1Et3mstLQUZrMZbm5uDuyeiIiItCYO/xfKFx8ChXnWmnTNLEg3/77P\n",
"n4pH1F3KjQ34d1opcirrkX2mvs3tZl4UgCmxfogJcM5s4ygOCZu+vr7WI5hCtNycVJZlFBQU4ODB\n",
"g6pAdeutt+KSSy5xxEt3qblz50Kv18Pf3x+xsbG47LLLMGbMGLvbVlVVATj/4kYhISE4deqUdYVc\n",
"k8kEs9l83rmenp7Q6/UwmUwwGAwOW0SJiIiItCWKC6B8+Drw63H1wMWXQpp1F4MmURczNliQeroW\n",
"x0qN+C6z0mY8wscVcUEe8NPrMCTIA2MivaF3sb2EkGw5JGzedttt8Pf3tz7etGkTACA0NBRubm6I\n",
"j4+HwWDAwYMHcerUKaSkpFjvpVlTU4OvvvrKOlcIga+++go33XSTI1rrkIsuughVVVUwm82orq5G\n",
"cXExioqKsGvXLgwbNgyPPvqozRHaurqmlafOd+S2edxkMqnmtXeuyWRSzSEiIqLeS5QWQXnyj6qa\n",
"dPsDkMZOguTl3cYsIuqMjLI6HCishcHUiMPFRpyqMttsMyTYA1cO9MXYSG8Ee9qewUnt45Cw2dY3\n",
"buvWrbNb3759u/Vng8GAzz77zPpYCIHPPvtM07C5YMEC1WOTyYSUlBR8/PHHOHLkCN577z2bbVov\n",
"hHQuZ4935NtKfsNJRETUu4mMI1A+ew/Iy24pDh8N+YG/Qmq13gUROc6nh8rwn4wKVJsVu+OhXi6I\n",
"C/LArcODEe3P/x86QqfCpoeHByRJsgk/f/jDHzrVVE8LU3q9HldddRVCQkKwbNky7NixA7fddpvq\n",
"VFYPDw/U1NRYj1i2pXncw8ND9b/NY/ZWoz17bnuve21oaEBDQ4PdMUmSrK9t778hUUc070fcn8hR\n",
"uE+Ro2m9T4nSIlhWvAjkZKnq8u0PQJ58vSY9UcdpvT9R2xosAkdLjMg+Y0JJbQO+yzijGte7SBgc\n",
"5AF/vQuGh3liYrQvPN20Xem59X5UV1d3zoNYrq6udtfM6Wk6FTZXrlxpt96dtxzpTsOGDUNMTAxy\n",
"cnJw/Phx1cq6/v7+qKmpQVlZGWJiYtp8jrKyMgCAn58fAMDd3R3u7u6or69HaWlpmwsM1dbWwmQy\n",
"QZZl+Pr6tqvfdevW4csvv7Q7FhgYiHfeeQdA0+nORI7U1u1/iDqK+xQ5mhb7VO2P/0HFa0+rap5T\n",
"ZiLg3och+7Tv33bqmfgZ1XPUN1qw7Ifj2His2O54qLc7nro2AeNiAru5swvz8MMPo6Kios3x2bNn\n",
"45ZbbunGjjrGIafROkpZWRmys7PbXISnJwgPD0dOTg5qatT31omKikJ+fj5ycnIwevRou3NLS0tR\n",
"V1cHNzc3hIeHA2j6BiMqKgpZWVnIzc1tM2w2X+PafB1se8yaNQvXX2//W9LW35yUlJTAYrHY3Y7o\n",
"QkiShLCwMBQVFZ33lHKi9uA+RY6mxT4lFAuUT1ZA/LKhpY/Lrob8uwUw63QorqkFamq7pRdyLH5G\n",
"9Sw//VqJN1IKVTVPVxlRfu4I8XLB2EgfXDnQD0A9CgsL7T+JhmRZRr9+/QAAr7322nmPbPYGnQqb\n",
"27Ztg06ng06ngyzLqp/DwsKsR8z27NmDPXv2YOjQoRg6dGib3/58//332LhxI+bOnYsbbrihM611\n",
"mfr6piWQzz7dNTExESkpKTh48CBmz55td25aWhoAID4+XhX2EhMTkZWVhbS0NEycOPGccxMSEtrd\n",
"a3sPrwsh+AFJDsV9ihyN+xQ5WnftU0JRoLy6BMg4bK3Jf30RUlyCtQ/q/fgZpZ2Kukb8/Zd85Jyp\n",
"R4PS8t9gSLAeD18WgXAf9UGanvzfqXVvrS+16806FTbffPPNNsdkWcajjz6K+Ph4vPnmm6ivr8fO\n",
"nTsBNN3+Y9SoUZg0aRIGDRoEoOlenZs3b0ZjY6P1tiBaaL5fZlRUlM2Y2WxGRkYGACA2NlY1Nn78\n",
"eHz00UfIzMy0e4RSCIEff/wRADBhwgTV2OWXX47169dj7969MBgMNqfJms1m/PLLL9ZtiYiIqGcT\n",
"igLx/RcQG74EzP+7V5+3L+Qn/g9SCE+5JOqsRkVg68kqLN9TZDO27OooJIV5adAVna3LbhCjhO6b\n",
"EAAAIABJREFUKIo1PNbX18PT0xMuLk3ZtrS0FBs3bsQTTzyBZcuW4ciRI3jllVdgNpsRGhqKOXPm\n",
"dFVb5/Xss8/iL3/5CzIzM23GvvrqK9TW1iI2NhaRkZGqMR8fH8yYMQNA07WsZ5+WumHDBuTk5CAi\n",
"IgKTJk1SjUVHR2P8+PFoaGjAqlWrbF53zZo1qKysxNChQzFs2LDOvkUiIiLqQqLoNJQn/wjxzSct\n",
"QTN+GOSXVzJoEjnARwdKcPOaDFXQTOrnieemDMDnc+MZNHsQh1yzmZycjMjISAgh0NDQgE2bNuGb\n",
"b77BqVOnrNtcffXVuP3225Gbm4vDhw9j165dyM7OxpEjR3DkyBEATUdDH3roIbhruOT3ddddh08+\n",
"+QQvvPACrr32WsTFxcFisWDXrl3YuXMnZFnG73//e7tz58yZg+PHjyM9PR3PPPMMpk+fDnd3d+zf\n",
"vx+bN2+GXq/HggULoNPZrnR1zz33IDs7G9u3b4fRaMTkyZMBNN0mZvfu3QgICMC8efO68q0TERFR\n",
"Jyl7foF4/5WWgocXpN/+EdLYiVyxlKgDThvM2HqyCkdLjDhjakS5sRFmS8vppp6uMh4cG4YrYrjI\n",
"Vk/kkLDp7++vOvUzODgYfn5+Nkf/ZFnGwIEDMXDgQIwdOxYrVqxAenq6dTwhIQFDhgxxREsddsMN\n",
"N8BkMuHrr7+2WcnVz88P999/f5s9urm5YfHixVixYgV2796N48ePW8fCwsKwaNEim9Nvm/n6+iI5\n",
"ORnLly9HamoqUlNTrWODBg3CwoULERIS4oB3SERERI4mhIDyzovA/l0txcGJkB9eBqmXLORB1FMc\n",
"Lq7FF0fKcbLC1OY9MfUuEl69diD6+7Zv4UzShiQ6cZXs3LlzATStlhQREWGtl5aWws/PD25ubqis\n",
"rMQDDzyAsWPHIikpCadPn0Z2djYyMjKsF8F6e3vDZDKhsbERN910k/V5tVRVVYXDhw+jrKwMOp0O\n",
"4eHhSEpKavdKsPn5+UhPT0d9fT2ioqIwYsSIdn+jmZWVhRMnTkBRFMTGxl7QokAdUVxczNVoySEk\n",
"SUJ4eDgKCwt79AX41HtwnyJH64p9SmSlQ/m/vwGt/i2VH30eUvxQhzw/9Vz8jHIcY4MFx0vrcLDI\n",
"iK+P2d7yY1S4F4b180SAhwuCPV2QEOIBV12XXRGoieZFVp1Jl9z6xN4RuL1792Lv3r2q2sCBAzFl\n",
"yhRMnDgRu3btwttvv42vvvoKQ4YMwciRI7uitXbz8/Pr1GI8kZGRNkd22ysuLg5xcXEdfm0iIiLq\n",
"HuLYwabVZpt5eEJ++SNIGl4SRNSbGBss+Oxwud2AecuwIFwU7IGR4V7QyTwNvTfq1vtsBgUFISYm\n",
"BomJiRg1apTqaOiVV16JI0eOYPv27diwYYPmYZOIiIioLUJRINauhNj0tbUm3XgHpGtnQ5Kd62gL\n",
"UVf56EAJvkpXh0xPVxkhnq6Yf2kYhgQ7x+0/+jKHhM2Kioo2Ty+tqqoC0LRA0KxZs6x1SZJQVlam\n",
"2nbq1KkIDg62Lo5DRERE1JMIxQKxajnEzp9UdXne45BGXaZRV0S9R76hHgcKavH5kXIY6ltOPR8Y\n",
"4I6nJ0fBX9+tx8Koiznkv+ayZcvOu81PP/2En3766bzbAcC6devw2WefdbYtIiIiIodSli4CClpW\n",
"24dfAOSHnoQUM1iznoh6MrNFgalR4PMjZThSbET2mXrVuCwBL10TjbhAPVdsdkL86oCIiIjoPIQQ\n",
"TYsANQdNT29Ic+6GNGEK/0AmOosQAhllJryw/TTO1DXa3Sbazx0jwz1x18WhcOH1mE6rU2HzX//6\n",
"FwBYP2SbV+GqrKxERkYGvL29MXRoy0pse/bsAQCMHj3aeq/Js+cSERER9SSiugrK4vuAelNTwT8I\n",
"8kv/YsgkaqW63oI9+dVYl16BfIPZ7jaxAe64cqAfror1g6+77X3nyfl0Kmx6eXkBAB577DFIkoTk\n",
"5GR4enoiIyMDK1asQGxsLMaOHWvdfsWKFQCAsWPHqubqdDo8//zznWmFiIiIyOFEeSmUx//QUoiO\n",
"g7z4ZQZN6tMaLAIVdQ04WGTEgcJapJcYUWmyvY2eu07C9MH+uHKgH8J8XOHpyoDZ1zjkNNrc3FwA\n",
"gKI03XS1+ShlXl4ePvzwQ0yfPh3h4eFtzpW5ahsRERH1MKLoNJQl86yPpSk3QJ57r4YdEWkno6wO\n",
"qw+VodZswYlyU5vbucoSbhkehDH9vRHj784vZvq4Lr1ms6GhAT/88AM2btyI4cOHW+s8ZZaIiIh6\n",
"IqFYIHZshkjbCxz+r7UuTZrOoEl9ToHBjPXHK5BVYWozYLrpJEwZ5IdLIrwRH+wBL1eZ98Qkqy4J\n",
"m83fYPj5+aF///44duwYDh06ZDNORERE1FMIIaC8tBj49biqLl13C+Qb79CoK6LuVW5swHcZZ7A7\n",
"vwan7Vx7OXWQHwb4u2OAnztiAtzh567j3/bUpk6FzYULF6p2rsWLF0OWZZhMTd98BAUFITk5GVVV\n",
"Vdi3bx/ee+89AMBLL71kXSAIaDr9dunSparnTk5O7kxrRERERBdErF/TEjR1OkiXXA5p8nWQBl2k\n",
"bWNE3UAIge8zK/Huf4ttxoaGemBspDdmDgnkUUu6IJ0Km8XF6p2xpKTE7nZ+fn6YMmWKNWxmZGTY\n",
"bJOent6ZVoiIiIg6TFn7EcQPa5se+PpDfvEDSC6u2jZF1MWOlTYt8FNgMGNHbjVaX+g2MswTkwb6\n",
"YWKML29NQh3WqbCZkJAAADh27BgAID4+HjqdDtXV1cjPz7duV1lZCaPRaH3cvF3ruYmJidZrOXko\n",
"noiIiLqDMFRCee0pID+nqaBzgfzMWwya5LQsisDx0jr8cKIS23INNuO+7josntgfiaGeGnRHzqZT\n",
"YfPpp58GAMydOxdA021MfHx8kJqaipdeeglmsxmrV6/Ghg0bVAsENW/XPFeWZZ42S0RERN1KVJZD\n",
"efTuloIkQf6/lZC8vLVrisjBqust+PpYBfYX1KDU2IjqettblIwK94KrTsKM+ACMDPfSoEtyVg5d\n",
"IOjsI5IFBQXWI5xZWVltbkdERETUnZRjB6G88mRL4ZLLIN/1ECRPBk1yDkeKjfggtRgnz9TbHfdw\n",
"kXFFjA/uGBECP32X3qCC+rAu3bOio6Ph5eWF8ePHY9KkSbjjDq7kRkRERNoRioKKfzwHZeM6a026\n",
"4XbIM2/VsCsix7EoAv9OK8W6YxWquo+bjLnDgxHm7YbYQHcEefJUcep6Dgmb3t5N3wKefcRSkiQs\n",
"WbLEES9BRERE1GnKx2+hdttG62Npzt2Qp83SsCMix6hvVFBR14h560+qFvq5OTEQU+P8Ee7jpllv\n",
"1Hc5JGx+8MEHqsc+Pj5ISEhARESEqp6QkABJkiDLsrX2z3/+k6fVEhERUZcSDQ0QK9+A2LutqeDq\n",
"Bvnv70LyD9S2MaIOalQETpTXYV16BdJL62yuxQzzdsVjV/THoEC9Rh0SAZJoXgKW+qzi4mJYLLYX\n",
"ixNdKEmSEB4ejsLCQvCjhRyB+xR1llAUiM1fQ3y5UlXXvbIK8PXXpilyGt31GVVdb0H2GROOl9Uh\n",
"s8yE7DMmlBkb29x+WpwfHhwbxgM6vYwsywgLC9O6DYfi1cBERETklIQQUJ6aDxSfttakpNEIf/x5\n",
"lBhN/AKDerTTBjPWpZdjf2Etys8RLAEgIcQD0wf7IzZQj/4+btDxvpjUQzBsEhERkdMR+3dBefuF\n",
"lkJwP0g33A7dZZOh8wsAjIXaNUd0HgeLavHUT3k2dQ8XGfHBesT4uyM+2AODAvXo5+0KmUcwqYdi\n",
"2CQiIiKnIQrzoXz6LpCe1lJMGgP5oSd5SiH1eKcNZnx5tAxbThqstfFR3rhqoB+Swrygd5G4H1Ov\n",
"wrBJRERETkEc3Adl+TJVTZ7/BKSRl2rUEdH5naqsx4+/VuJ4mQkZZXWqsceuiMCEAb4adUbUeQyb\n",
"RERE1OuJ7BOqoCnNmANpyg2QfPw07IqobQ0WBR8dKMW3GWdsxibH+uJ3I0Ph78E/1al34x5MRERE\n",
"vZqy7t8Q339hfSwvSoY07BINOyJq24HCWmSfMeGjA6Wq+rhIbwwO0mP64AD4uOs06o7IsRg2iYiI\n",
"qNdS3vu/lntnApAfWsKgST2OqVHB1+kV2JhViYo69cqyQ4I98ODYfogJ4P0wyfkwbBIREVGvI6qr\n",
"oLy0GCjKbyq4uEL++7uQAoK0bYzofyyKwPZcA77PPIOMMpPNeKSvG8ZFeuOui0M16I6oezBsEhER\n",
"Ua8iTqRDeenxloK3L+QX3ofkziNDpK1fK0xYtjUPVfUWKHZu45rUzxNT4/wxYYAP74VJfQLDJhER\n",
"EfUKwmSE+OQdiN0/W2vSxGsg/faPkGRe40baSD11BjsyyrA5qxLFNQ024z7uOsweGoirY/15LSb1\n",
"OQybRERE1GMJxQKxYS3Ej98ANdWqMXnR05CGjdKoM+rLhBD4OduATw+XochOwLx1eBBGhHnBy02H\n",
"aH93DTok6hkYNomIiKhHErU1UJ56EDBUqgfCIiEvfApSSJg2jVGfUlLTgPUZFcirMqOuwYJyYyPK\n",
"jOpFfvQuEuKDPBAXpMftScFw1ckadUvUszBsEhERUY8iGhshtm+CWP1OS9EvENL0WZAumwLJ00u7\n",
"5qhPUIRAvsGMf6WW4EBhbZvb9fd1w/xJgzHMT4EQdi7SJOrjGDaJiIioRxAmI8Tqd5tuZWJpOXIk\n",
"XTEN0p3zIUlcUIW6lhAC/9hdiG051Wg8a4WfSyK8MDhID09XHQI8XDA4SI8IX3eEh/dDYWGhRh0T\n",
"9WwMm0RERKQ5cXAvlHdfAszmlqKrG+THX4Q0YJB2jZHTM1sUHC2pw4nyOnyXcQaVJotqfGioB/48\n",
"IQLBnq4adUjUezFsEhERkWaUH9dDfLsGMLY6VTFpDOTf3A5ExfJoJnWJirpGfJ9xBnmGeuzOq7EZ\n",
"93CR8fTkKMQH6yFzHyTqMIZNIiIi6nbCWAPlnReBYwdVdWnGHMiz7tSoK3JmpkYF23MM2J1Xjf8W\n",
"2F6H6eUqY1CgHlF+bvjDJf14H0wiB2DYJCIiom6l/PIDxMdvqWryvMVA0hhILvzThBzHUG/Bz9lV\n",
"2JZjwIlyk834JRFeiPJzx4gwT1wc7sUj6UQOxk90IiIi6hZCCIiP34LYtrGlOPRiyL9fCMk/SLvG\n",
"yKmkFdbi9ZRCmBoU1DUqNuNRfm4YFKjHXSNDEMTrMIm6FMMmERERdTlRlA9lyYOqmrzwKUjDR2vU\n",
"ETmbcmMDVh4oxbYcg81YXKAekwb6YvJAP3i76zTojqhvYtgkIiKiLiOEaLpn5r/fbCkG94P8l+cg\n",
"BYVq1xg5DYsi8PbeImz+tUpVvzkxEMP6eWJ4Py+46nh6LJEWGDaJiIioy4hP3ob45QfrY+na2ZBv\n",
"ukvDjsiZ1DUo+Psv+ThUbLTWronzx+yhQQj15imyRFpj2CQiIiKHEjUGKK8/DeRmqeryX56DNGS4\n",
"Nk2RUzleWof3U4tVi/54ucpYPjMWgR7885aop+D/G4mIiMhhRG0NlKWLgMrylmJwP8hP/xOSu167\n",
"xqjXa7AIbMqqxK68ahxpdSQTAPp5u+Kf1w2Eu4usUXdEZA/DJhERETmEsucXiPdfaSkMugjynQ8B\n",
"4ZGQZIYA6hiLIrD+eAXWHCpDvUWoxibG+OKGiwIQF6jnbUuIeiCGTSIiIuo0kfurOmjGD4P8yDJI\n",
"Mlf+pI4RQuDLo+VYfagMSquMqXeRcVNiIG5MCOSRTKIejmGTiIiIOkwcToU4kAKxfZO1xluakCM8\n",
"+eMpHCmpsz6+KNgDl0f7YEZ8AHQyj2IS9QYMm0RERHTBxJH9UL7+2HYRoHmPM2hSh9WYLfjiSDm2\n",
"5xhQXtcIAPBwkfHCtAGICeA1v0S9DcMmERERtZuoMUCseRdi7zZVXRp/FaRrbobUf4BGnVFvdqzE\n",
"iK3ZBmzMqlTV/dx1ePfGQdDzdFmiXolhk4iIiM5LFOVD/LwB4qdvW4qSDGnWnZCm3gDJhfc0pAuX\n",
"fcaEZVvzrUcxmw0O0mNGfAAmxfjylFmiXoxhk4iIiM5JWfkPiJ0/qouDLoJ8318gBYVq0xT1SoXV\n",
"ZpwoN6GstgH/yTyDcmNLyNS7yLg0yhtXDfTDyHAvDbskIkdh2CQiIiK7hBAQH7+tDpojx0G+5iZI\n",
"cQnaNUa9ikUR+OFEJdYcKkW1WbG7za3Dg3BbUkg3d0ZEXY1hk4iIiGwIiwXKi38FsjOtNfm1jyF5\n",
"+2rYFfUWtWYL3k8tRmF1A46V1tmMB3u6IMTLFTH+7rgpMQih3jwNm8gZMWwSERGRijDWQnlmEVBe\n",
"Yq3Jr/6bQZPO62SFCV8eLcfOU9U2Y56uMu4ZFYopg/wgSbwOk6gvYNgkIiIiAICorYbYuw1i9YqW\n",
"4oBYyE+8Akmn064x6vEq6xqRvCUPOZX1qnpiiAfGRXkj2l+Pi3kdJlGfw7BJRETUx4nTp6CsfAPI\n",
"OaEeGDIc8sPPMGhSmxoVgVd3FtgcyRzWzxN/HNMPUX7uGnVGRD0BwyYREVEfpqz9COKHteqiXyCk\n",
"6+dCvvJaTXqins9Qb8He/Gq8u68Y9RZhrY+O8MLjEyPhquNpskTEsElERNQnidoaKG8/D2Qcttak\n",
"MVdAunompEEXadgZ9WT5VfV4dGMujA3qVWUHBbrjkQn90d/XTaPOiKgnYtgkIiLqQ0RxAZTPPwAO\n",
"7VPV5X98CsnDU6OuqKezKALrj1dg5YFSVd1dJ+Gui0Nw/ZBAjTojop6MYZOIiKgPEOlpUH75Adi/\n",
"Sz0QlwD53kcYNAkNFoG6RgWKECg0mFFqbMSvFSYY6i3YcrJKte3soUGYlRgIbzdez0tEbWPYJCIi\n",
"cmJCCChvPA0cPaAeuOQyyHPugRQUqklf1HOkFdbik4OlOFFugjjPthE+brh7VAjGRvp0S29E1Lsx\n",
"bBIRETkhoVggdmyG+Pdbqro07UZIl0+FFB6lUWfUEwghkFtZj/dTS3C42Gh3G1kCgj1dMDBAD193\n",
"HUb398alUQyZRNR+DJtERERORpjqoDx2N1DXKkQMugjyn5ZC0nto1xhpTgiBL46WY/3xM6iut6jG\n",
"ZsT745o4f7jqZAR46ODpylNkiahzGDaJiIichDDXQ/ngVWB/SkvR0xvyPX+CNGKsdo2R5mrNFqw5\n",
"VIZvM87YjA0O0mPZ1QPg4Spr0BkROTOGTSIiIicgDGegLJkPGGtaisNHQ7fwKe2aIs1U1jXCUG/B\n",
"gcJaZJTVYeepatV4qJcL5g4PxpUD/eAi856YRNQ1GDaJiIh6OeXrjyG++7ylEDkQ8s2/gzRslHZN\n",
"Ubc7WWHCxqxK7Dtdg3Jjo91tLo3yxuyhQRgcxNOpiajrMWyeQ0lJCQ4dOoTa2lpERETg4osvhotL\n",
"+35leXl5SE9PR319PQYMGICkpCTIcvtOT8nKykJmZiYURcGgQYOQkJDQmbdBREROSJjqIL7/HCL9\n",
"IJCbZa1L18yCPPtuDTuj7mRRBFLyqrEj14CUvBq72wwO0uOiEA9MiPJBQihvcUNE3cfpw6bZbMam\n",
"TZuwfv16VFVVYdKkSXjwwQfPOaexsRGrVq3Cxo0bVXV/f3/MmzcPI0eObHOu0WjEihUrsHv3blU9\n",
"LCwMixYtQmxsbJtzKyoqsHz5chw9elRVj42NxaJFixAWFnbOvomIyPmJ6ioon7wNpJ51v0x3D8h/\n",
"XwHJ11+bxqjbnalrxMMbcnCmTn0Uc2KMLy6L8sGQEA/4ueug42myRKQRpw6bW7ZswZo1a2AwGNo9\n",
"R1EUvP7669i3bx9iYmJw/fXXw8/PD+np6fjuu+/w4osv4tFHH8WoUbanJpnNZjz//PPIzMzE0KFD\n",
"MW3aNOj1euzfvx+bNm3C0qVLkZycbDdwGgwGLF26FEVFRRg3bhwmTpwIAEhJScGOHTuQnJyMZ599\n",
"FiEhIR3/hRARUa8mTv0KZdnD6mJoBKTJ10G66jpI7TyDhnqvmnoLtmZX4XCxEXvy1Ucyx/T3wi3D\n",
"ghEfzFNkiahncOqwuW3bNhgMBiQlJSE4OBhbtmw575xNmzZZg+ayZcvg5uYGAEhKSkJiYiKee+45\n",
"vPnmm3j99dfh46O+19Snn36KzMxMjBw5Eo8//jgkqembxJEjRyImJgYrVqzAG2+8gVdeecXmdNz3\n",
"3nsPRUVFuPrqq3H//fdb66NHj0ZISAjWrVuHt956C8nJyZ39tRARUS8jhID4+XuI1SusNWnCFEg3\n",
"3AYpkF9COjNFCPz4axWKaxqw61Q1CqrNNttcO9gfD4zpZ/27g4iop3DqsHnZZZfh3nvvRWRkJH7+\n",
"+efzhs3GxkZ88cUXAIA777zTGjSbJSUlYcKECdi5cye+/fZb3H777daxyspKbNiwAZIk4e6777b5\n",
"wJ88eTK2bt2KzMxMbN26FVOnTrWOnTx5Env37oVer8cdd9xh09ecOXOwfft2pKenIy0t7Zyn8RIR\n",
"kfMQQkCsXwPxn09VdemuhyBfMU2jrqgrWRSBktoG5FTW47PDZcg+U293u8FBeoR6uWLu8GBE+7t3\n",
"c5dERO3j1GFz2rQL+4c4LS0NNTU1CAkJwbBhw+xuM3nyZOzcuRM7d+5Uhc2UlBQoioLExMQ2r62c\n",
"PHkyMjMzsWPHDlXY3LFjBwBg3Lhx8PS0vXBfp9Nh0qRJWLt2LXbs2MGwSUTUB4jSIihLFwH1dS3F\n",
"mMGQ73wQ0oBB2jVGDldpasTe/BocLjJiW679S39cZAkXh3shwscVtyYFw9NV181dEhFdOKcOmxfq\n",
"+PHjAIDhw4e3uc1FF10EV1dXlJWVoaysDMHBwQCAY8eOnXduUlISgKbVZhVFsa5O2zy3ebytuWvX\n",
"rkVGRsYFvCMiIupNhMkIsX83cPwgRMrWloHAYMi/nQcpaYx2zZHD1TcqWJdegTWHy+yO++l1GNPf\n",
"G9cODsDAAHcu9ENEvQ7DZit5eXkAgOjo6Da3cXFxQXh4OE6dOoW8vDxr2GzP3KCgIHh4eKCurg4F\n",
"BQWIjIyEEAL5+fkAgAEDBrQ5t3mstLQUZrPZ5hRfIiLq3YThDJRHfmdTl2b/HvI1N2nQEXWVlLxq\n",
"rDlYhtwq9SmyET5uGBnuiWH9PDEq3BserlzwiYh6N4bNViorKwHAGiDbEhISglOnTqlWua2qqurQ\n",
"XJPJBLPZfN65np6e0Ov1MJlMMBgM530dIiLqPYQQUF5Z0lIIDIY0bDSkS6+ENDhRu8bIYb7PPINv\n",
"j1egoLrBZmxEmCfmDgvG0H68ByYROReGzVZMJhMAQK/Xn3O75vG6upbraJp/bu/c5tdq/RztmWsy\n",
"mVRziIio9xKNjRA/rYf4+hOgsSmESFdMg3zXQxp3Ro6QcqoaP5w4gxPlJtQ2KKoxvYuM64cE4MaE\n",
"QPi48/pLInJODJt2CCHaNd56xdnmn9s79+x5F4JLmxMR9X7K+jUQ365RF6PjIN0xT5uGyCGEEDhS\n",
"YsSH+0vwa4X6NFmdBPxxbBjig/SICTj3F8xERM6AYbMVD4+mmyA3H3VsS/N48/bNP9fU1Fzw3NbP\n",
"YTKZ7K5Ge/bc8x0BbdbQ0ICGBtvTdYCmwNr82pIkMcCSQzTvR9yfyFGccZ8SOVmwvPsSUFLYUvQP\n",
"hHzb/ZAvmaBdY31EV+5TZ+oa8bfNucg3qO+FeevwplNkk/p5OtW+TM75GUXaab0f1dXVnfMglqur\n",
"K1xdXbujrU5h2GzF398fAFBWZn9VuGbN435+fqq5NTU1KCsrQ0xMTLvnuru7w93dHfX19SgtLW1z\n",
"gaHa2lqYTCbIsgxfX992vZ9169bhyy+/tDsWGBiId955BwAQGhrarucjaq+2bv9D1FHOsE81lhSi\n",
"NHkRLKdOWmu60HAEPPQEPC4Zr2FnfZMj9ilFCHx9qABfHypAo0XgRGmNavyahH74y9Xx8Pfo+X8Q\n",
"Uuc4w2cU9SwPP/wwKioq2hyfPXs2brnllm7sqGMYNlsZMGAADhw4gJycnDa3aWhoQEFBgXX7ZlFR\n",
"UcjPz0dOTg5Gjx5td25paSnq6urg5uaG8PBwAE3fYERFRSErKwu5ublths3c3FwATcGwvSvRzpo1\n",
"C9dff73dsdbfnJSUlMBisbTrOYnORZIkhIWFoaio6LynlBO1h7PsU6K0CJbF96lq0sxbIf3mt6gE\n",
"UFlYaH8iOZwj9qn0EiPWHCrFwSKj3fGrY/2wYHw4ZElCXWUZ6io70zH1ZM7yGUU9gyzL6NevHwDg\n",
"tddeO++Rzd6AYbOVxMREfPPNNzh8+DCEEHZPiTh69CgaGxvRr18/BAQEqOampKTg4MGDmD17tt3n\n",
"T0tLAwDEx8ernjsxMRFZWVlIS0vDxIkTzzk3ISGh3e+nvYfXhRD8gCSH4j5Fjtab9ymRnw1l6SLr\n",
"Y+mq6yDddj8kSeq178kZdGSfKqw2Y116BTZmqdNjkKcLLo3ywQA/NwwN9USUn7v1Nahv6M2fUdRz\n",
"tN6HWl9q15sxbLaSlJQEX19flJeXIzU11e4Ryk2bNgEAJkxQX1czfvx4fPTRR8jMzLR7hFIIgR9/\n",
"/NHu3Msvvxzr16/H3r17YTAYbE6TNZvN+OWXX6zbEhFRzycyj0JZ/Q5wOtdak+bcA3najRp2RR21\n",
"PceA/9tZoKrdMiwI1wz2R7Bn7zjCQETU3Xi34FZkWcacOXMAAKtXr7ZZ7Gffvn1ITU2Ft7e3zemp\n",
"Pj4+mDFjBgBg5cqVNqelbtiwATk5OYiIiMCkSZNUY9HR0Rg/fjwaGhqwatUqm77WrFmDyspKDB06\n",
"FMOGDev0+yQioq4jhICy+RsoLy9WB83J1zNo9iJCCBwsqsX7/y3Gnzdkq4LmmP5eeHPmQPx2RAiD\n",
"JhHROfDI5lmmTp2KQ4cOYd++fViyZAlmzpwJX19fpKen47vvvoNOp8P8+fPh5eVlM3fOnDk4fvw4\n",
"0tPT8cwzz2D69Olwd3fH/v37sXnzZuj1eixYsAA6ne39tO655x5kZ2dj+/btMBqNmDxApaCsAAAg\n",
"AElEQVR5MgBg+/bt2L17NwICAjBvHpfDJyLqqYSpDmL1OxBH9gPVVda6NPU3kGbeBsmj7dXGqedQ\n",
"hEBaYS1e3H4apkbb0yJfuiYaQ4Kd4/Q2IqKuxrB5FkmS8Kc//QmrVq3Cxo0b8eabb1rH/P39MW/e\n",
"PIwcOdLuXDc3NyxevBgrVqzA7t27cfz4cetYWFgYFi1ahNjYWLtzfX19kZycjOXLlyM1NRWpqanW\n",
"sUGDBmHhwoUICQlx0LskIiJHEhVlUJYtAmqqVXX5T0shDb1Yo67oQuScMWHdsQr8nG2wGbs82geh\n",
"Xq64MSEQfnr+6URE1F6S4NXMbSotLcXBgwdhNBoRFhaGUaNGwcWlff/I5OfnIz09HfX19YiKisKI\n",
"ESPafQ+mrKwsnDhxAoqiIDY29oIWBeqI4uJirkZLDiFJEsLDw1FYWMiFEsghesM+pWz4EuKrVpdA\n",
"+AdBuvZmSBOnQ2rnvxnUfVrvUxZFwYbMSnxyqBS1ZsVm25sSAzF3eDD0LrzqiOzrDZ9R1HvIsux0\n",
"t9Hhv4LnEBISgilTpnRobmRkJCIjIzs0Ny4uDnFxcR2aS0RE3UMc2Q9l1XLgTMu9maUrZ0C67T5I\n",
"su3lEtSz1JgteOjbk6ioa7TWZAmYHOuH3yQEor+PG3Ry+74kJiIi+xg2iYiILoAw1kL55zNA1jFV\n",
"XX76n5D6279XMvUcdQ0KNqQX4anvMq01WQLuHhWKGfEBcGHAJCJyGIZNIiKidhBVZyDWrYLY+ZOq\n",
"Ls24BdKMOZDc3TXqjNpDCIHPjpRjzaEyVT0xxAPLpgxgyCQi6gIMm0REROcgTEYoK/8BpO5SDwy6\n",
"qGkBID1XJu2JSmsb8OOvlThRbkJBtRmF1Q2q8eYFf64bEqBRh0REzo9hk4iI6Cyivh5i/y4g6xjE\n",
"th/Ug94+kOc/CSmuaxdvowvXYFGw81Q1Nv9ahSPFRrvbBOh1eHnWCITq6rigCxFRF2PYJCIiakUY\n",
"a6D8+S7A0qgeCOsP+cG/QQrv2OJv1DU2ZJ7BjlPVyK+qR6XJdmX1kWGeiAvyQISPK8J93JAQ6on+\n",
"Ef4oLKzToFsior6FYZOIiPo80dgA8csPQE4WxJ6fgeYjXkGhkIYMh3TFNB7J1JgiBL7PPIPsM/Wo\n",
"rGtEmbEROZX1dreVJeCaOH/clhRsc1/M9t6GjIiIOo9hk4iI+izR0ACxcS3EN6ttxqRJ0yHf8aAG\n",
"XVFrDRaBd/YVYevJKljaOOtV7yLj5qGBiPJzx9AQD3i76yAzVBIRaY5hk4iI+iRRXQXl1aeA/OyW\n",
"4oBY/D97dx4eVXn+j/99zkwyk31fSSAECNlIIBB2QVlcAHepSxVF7ccV0VqtP7TFaq3a1irfj5Vi\n",
"8SNQpVYBRUUEkR1ZIiQBEkIIWSEJWSfbTJKZOc/vDzoDwyQhgUkmy/t1XV4XeZY5d+A2k3vOc55H\n",
"io4FIqIgTbvBecENcC0mBUdKm7C9oA6HzjTa9HlrVEgd5AlfrQohnq4Y5q/FMH8N71gSEfVCLDaJ\n",
"iGhAEUJAWf4mkH7gQmNAMOSHn4UUk+i8wAa4+hYz1mZWorzRiPSyJrv+EE8XLJoYilEhHk6IjoiI\n",
"rgSLTSIiGhCEEMCRn6B8vwEoPGVtlybPhLTgaUgqlROjG7gaW834/FgVNubU2vV5ucpIDPHATTG+\n",
"SA5lkUlE1New2CQion5PNNRB+f1TQGP9hUZff8ivfwBJ6+68wAa4U9UG/Ob7Ipu2kYFuSA51R0Kw\n",
"O0aHscAkIurLWGwSEVG/JqorobzyGGC6cJSJdNOdkG69n3cze1hlkxE/FTfgRKUBhbpmlDUYrX2p\n",
"gzxxz6hADA/QOjFCIiJyJBabRETULwljK5S3XwKK8i40jp4A+bEXIaldnBfYANBqVlCtNyG/phnl\n",
"jUaYFIHvT+lQYzC1Of7x1BDcFOPXw1ESEVF3Y7FJRET9hqivhVj7IUTxaaCy3KZPuuNByDfd6aTI\n",
"+j8hBA6XNmF1egWK61o7HBsToEVMoBtGBGgxebAXXFVyD0VJREQ9icUmERH1aUII4PgRKFs2ACeP\n",
"2Q9IGAP53scghYT3fHADREOLGb/eXICKJvs7l35uaoR7ucBFlhAX5I67EgOglnlMCRHRQMBik4iI\n",
"+izR1AjlrReA8rO2HbFJkKbMhDQsDlJQqHOCGwBMisDWPB1WpJ2zaZ8b44s7EgLg6aqCVs27lkRE\n",
"AxWLTSIi6lOEvgni6CGIXd8DeSds+qRJMyDdfA8LzG5kVgR+Km7AqWqD3XElkyK98PyUcLioeOeS\n",
"iIhYbBIRUS8nFAVCVwNxOgci4wDE/h12Y6TUayAtfBaSCzf+6S7fn6rFxhM1KL1oB1mLoX4aPDQm\n",
"mEeVEBGRDRabRETU6wizGeKjv0EU5uFM9TlAUewHBYcBEUMhP7gIkjuLnO7ydU4NNp2sRXmjbZGp\n",
"liWMCXPH7XEBSAjhWaVERGSPxSYREfUqyo7vINb+o+1OH39ISeMgzbsHkn9gzwY2wLSYFPxp91lk\n",
"lDXZtD+QHIQx4R6I9tNAkrhcloiI2sdik4iInE7U6yD2bIXY9DlgvOjYjBHx8L/tPtRp3CHCh3CZ\n",
"bDdShMCR0ibsKazH6dpmlFx0fIksAU+MD8X0KG9ouOEPERF1EotNIiJyGlF1DsraFcCxn207VCrI\n",
"z/weckIKPMLCUF9WBgjhnCD7uRMVeuRUGbA+uwYNLWa7/oRgN/zu2ki4ubDIJCKirmGxSUREPU7k\n",
"nYCyYTVwKtu2Y8hwSDNvhjTxWi7R7EaKEDhd04yNJ2qwp6jBrn/WMB/EBblhbLgn/Nz4qwIREV0Z\n",
"voMQEVG3E0IAhacgSgogvl8PVJbb9EuTZ0K67zFIGq2TIhw4jpY34dXtJTBfcqM4NtANSaHuuGdU\n",
"IFQyC30iIrp6LDaJiKhbiZYWKO+8DBTk2vVJqddAuvcxSF7eTohs4DAYFXxxvAobc2phUi5Uma4q\n",
"CVOHeGN+QgDCvV2dGCEREfVHLDaJiKhbCJMRyl+WAPknbTtCB0EaFgfp/icgqbnhT3cymgW2ndbh\n",
"H2nn7PruiPfH/clBvItJRETdhsUmERFdFaGYgaoKoLEe0NVAtLYA585C7N4C1OsuDBwWC/k3f4Kk\n",
"5ltPd6sxmPDnPWdxotJg0x7h7YqbYnxx4wg/qFlkEhFRN+M7PhERXREhBETaHoj/rLQtKi81aAjk\n",
"F9+C5O7Rc8ENMK1mBUfL9citNuC7k7VoaFVs+gPc1XhwdBCmD/VxUoRERDQQsdgkIqIuU378FmLd\n",
"/wEmk22HLAOe3oCLKxAyCFJ8MqRZt0JSqZwTaD9X3tCKTzIr29xRFgDGhntgfmIA4oLcezgyIiIi\n",
"FptERNQJwqCHyDgIkbYHOJFhW2QGhUKaMe/8cSWe3OinOxnNAjUGI/aXNCC9tAkZ5Xqbfk9XGRHe\n",
"GowJ88DkIV4Y7KNxUqREREQsNomI6DKUH7+F+OxD+w4XV8iP/BrS2Mk9H9QAozea8WlmFb49Wdtm\n",
"/6RIL9wa64e4YN7BJCKi3oPFJhER2REmI8T2TRDffgYYLrp7FhwOaexkSNEjgcSx3Oynm5kUgT/t\n",
"OoPDpU12fXFBbhgd6oEbR/jC143/DkRE1Pvw3YmIiGyIxnooLz4MGFsvNLp7Ql70CqTh8c4LrJ8r\n",
"rG3GiUoDqvQmVDYZUd9iRnqZbZEZ5avBPUmBSAnzgEYtOylSIiKizmGxSUREVqIgF8qffnOhwcML\n",
"0u0PQJ5+o/OC6ofqm03YVViPn4ob0NhqRpXeBL1RaXd8bKAbnp4Yikg+g0lERH0Ii00iIgIAKPu2\n",
"Qaz6f9avpfHTIT36a0gSz2N0BINRwQ+nddiWV4eiupZ2x0X6uCLU0xUB7mp4a1QYN8gTIwPdejBS\n",
"IiIix2CxSUQ0wImf90L5dDnQeOH4DOne/4E8Y54To+o/WkwK/rL3LNLO2j93GeWrQZiXK1LCPRDu\n",
"5YrEEG7wQ0RE/QeLTSKiAUz5v/cg9m+/0KBWQ35mKaS4ZOcF1Q+YFIG0s404Xd2Mb0/WwmC6sEQ2\n",
"yleDuCA3zIv1Q4Q3l8USEVH/xWKTiGiAEUJA7NoMsXEt0Fh/vlHrBunmeyBff7tzg+vj8muasSm3\n",
"FttO19n1hXq64I3ZgxHo7uKEyIiIiHoei00iogFClJ2B+PY/EGm7ASEudHh4Qf7Lx5BcXJ0XXB/U\n",
"alZwtFyPfcUNyKs2oLbZjIYWs80YPzc1onw1SAn3wNwYP6hkPv9KREQDB4tNIqJ+TuQeh7JhDXA6\n",
"x7bDLxDSnPmQpsyC5MK7bZ1hVgTO1Ldi08labMnTtTtu1jAf3BkfgHBvFvBERDRwsdgkIurHlEO7\n",
"If75V9vGxLGQb7oLUkyCc4Lqo34qrsfbe0rb7JsQ4Ylxgzzh4SojOdQDnq6qHo6OiIio92GxSUTU\n",
"D4mSgvPnZZqM1jZp8kxIdz0EycvHiZH1Pa1mBW/sOouMMtvdZCO8XfH8lHAM8dVweSwREVEbWGwS\n",
"EfUzStpeiA//bNMm/c+LkFOnOimivulIaSNWpVeiSGd7Jubb1w/BUD8NNGrZSZERERH1DSw2iYj6\n",
"CdFQB+WDN4G8bGubNO9uSDffC0lmYdQZihAo1rVgU24ttubZ7iibFOqO5yeHw9eNb51ERESdwXdM\n",
"IqJ+QNn5HcSn/7BpkxcvhZQ41kkR9X4mRWBVegVKdC0wCaCqyYjyRqPduIUpQbhmiDcCeGQJERFR\n",
"l7DYJCLqw5Q9WyE2rwMqyy80Jo+H/PBzkNw9nBdYL1dQ24y3dp9ts7i0GBPmgcdSQxDmxR1liYiI\n",
"rgSLTSKiPkpJ2wux5v0LDZIE+c2VkAKCnBdUL9fQYsb/HijDwTON1jYJwPzEAGjUMvz/ey5msKcL\n",
"d5QlIiK6Siw2iYj6ECEExIGdEBkHgCP7re3Sw89BmjCdz2YC0BvNSC9rQkWjEQaTgp/PNqHFpKCh\n",
"1Yy6ZrPN2Nvi/LFgdBB3kyUiIuoGLDaJiPoA0WyAOLAD4j8rAZPJpk9e8g6koSOcFFnvcK6xFV9m\n",
"1yC7woCiupbLjh/mr8VvpoQj3JtLZImIiLoLi00iol5OWbcKYssG20ZZhjTpOkizboEUMdQ5gfUS\n",
"r24vQfolZ2ACQIC7GgFuari7yPB3VyM+yB1eGhWSQt3h7sIlskRERN2NxSYRUS+lHNwFsfId20ZX\n",
"V8iPvwQkjoUkDdylnyZFoK7ZhL/tK8XxCoO1PdjDBbfF+WPqEC/4aPkWR0RE5Ex8JyYi6oXE2SLb\n",
"QjMoFPKDi4CYxAFbZOqNZhw/p8feogbsKqy36fPRqPDxHcP57CUREVEvwmKTiKiXUX78BuKzf1q/\n",
"ll94E1JMghMjcg4hBHTNZnx/oBB5ZTXYmqdrc1xMgBZ/nDWYhSYREVEvw2KTiKgXEAY9xPEj55/N\n",
"LMqztkuPPj/gCk2jWcFHhyvwU3ED6lrMdv1eGhUmRnhiUqQXovw08HdTD9i7vURERL0Zi00iIicT\n",
"NZVQfvuIbWNwGOTFSyEFhzsnKCfIrTLgo8MVyKky2PUN9dNgiK8GM6J9kBzq4YToiIiIqKtYbBIR\n",
"OZHy+UcQP2y80OAfCERGQ/7VC5A0GucF1oNOVhmwu7Ae356stWkf5q/FL5ODkBoTCdFUCyGEkyIk\n",
"IiKiK8Fik4jICURmGpT1q4CyEmubdPsDkOfMd15QPUhvNCPtTCM2ZNegUGd7LuZtcf6YG+OHYE8X\n",
"SJKEUG8t2jjZhIiIiHo5FptERD1IHD8CZdPnQF72hUZZhvznjyH5+DkvsB7Q2GpGYW0LdhTUYdvp\n",
"Orv+qUO8cEusP0YGujkhOiIiInI0FptERN1MGFuBYz9D+epTmzuZACDd/ySkaTf02w1uyhtacfSc\n",
"Hp8fq0Kl3mTXH+SuRlKoB341LgRuLrITIiQiIqLuwmKTiKgbidYWKC8/BuhqLjRKMqSb7oI0/QZI\n",
"/kHOC66bCCFwqroZP+bX4ftT9seVuMgSwrxccF9SECYN9nJChERERNQTWGwSEXUDIQSQeQjKx+8B\n",
"+v8+cKhWQ5p+E6TbfglJ6+7cALuJwajgt1uLUHTJc5hDfDSIDXLDwpRg3sEkIiIaIFhsEhE5mBAC\n",
"Yv3q82dm/pc08VrIj/zaiVF1n6xzepysMqBSb8T3p3RQLto0dpi/Fi9MDUeYl6vzAiQiIiKnYLFJ\n",
"RORA4vBPUNa8D+gbzzdIEqQHn4E0eYZzA+sGedXNWJVegWPn9HZ9kyI98Zupg6CW++ezqERERHR5\n",
"LDaJiBxE+eJjiK1fXmjQaCG/tRKSp7fzgnKgwtpmvL2nFFV6I1rN9mdexgW5IcjDBXfG+yPKT+uE\n",
"CImIiKg3YbHZTSoqKnD06FE0NTUhPDwcY8aMgVrdub/ukpISZGdno6WlBYMHD0ZSUhJkmc84EfVG\n",
"QjFDbPsaYvsmoLrC2i5NnX1+p1mVyonROUaxrgWr0itwuNT+sEsXWcL4CE88OT4Unpq+/70SERGR\n",
"47DYbMerr76KEydOtNuvVqvx6aef2rWbTCasWbMGW7ZssWn39fXFE088gdGjR7f7mnq9HitWrMCB\n",
"Awds2kNDQ7F48WJER0d38bsgou6kbNsI8eUnQKvtZjjynz+G5BfgpKgco6nVjNzqZvyQp8O+4gab\n",
"vltj/TBukCd8tGoM9nHtt8e2EBER0dVhsXkZsbGxcHFxsWtv6y6loih47733kJaWhqioKMybNw8+\n",
"Pj7Izs7Gpk2b8Pbbb+OFF15ASkqK3dzW1la8+eabyM3NRUJCAq6//npotVocOXIEW7duxR/+8Acs\n",
"XbqUBSdRLyBMRojV/wtxYKdNuzRnPqSb7uxTO81W6Y2oNZiwPb8OedXNqDWYUNtshkmxXyabEOyG\n",
"56eEI8Dd/mciERER0aVYbF7GokWLEBgY2KmxW7dutRaar7/+Olxdz+++mJSUhPj4eLzxxhv4+9//\n",
"jvfeew9eXrZny3322WfIzc3F6NGj8dJLL1nvFIwePRpRUVFYsWIFli1bhnfeeafTy3GJyPFERRmU\n",
"v/3OdsnsHQsgzb4VkrrvFGEbsquxNU+HsgbjZceOj/DEvaMCEe3P5zCJiIio81i1OIjJZMIXX3wB\n",
"AHjggQeshaZFUlISpkyZgn379uGbb77BfffdZ+3T6XTYvHkzJEnCwoUL7ZakzZgxAzt27EBubi52\n",
"7NiB2bNnd/83REQ2RG01lJV/BXKzLjQOj4e86BVI7p7OC6yT6ppNqNabsLOgDptydW3euQxwV+Pm\n",
"kX4I8nBBgJsafm5qhPLIEiIiIrpCLDYdJCMjA42NjQgKCkJiYmKbY2bMmIF9+/Zh3759NsXm/v37\n",
"oSgK4uPjERoa2u7c3Nxc7N27l8UmUQ8R1ZUQe7ZAnDwG5Nk+wy3NXwj5+tudFFnnnKo2YEXaOZTU\n",
"taLZpNj1+2lVeCglGFOHeEMCoOIxJURERORALDYdJCcnBwAwatSodsdYnv+sqqpCVVWVdXmuZSOi\n",
"juYmJSUBAPLy8qAoCnenJeomoqUFqKuBsmE1cPgn+wExiZCfWtIr72bqmk34MrsGP59tRHmjsc27\n",
"lwAw1E+DBaODkBLe+74HIiIi6j9YbF6GEG3/snapkpISAMCQIUPaHaNWqxEWFobi4mKUlJRYi83O\n",
"zA0ICICbmxsMBgNKS0sRERHR2W+BiDpB1FZD7NkK8c2/7TujRkBKmXz+OBOv3ndmZotJwfJD5dhR\n",
"UN9m/5wYX0yM9MIwPy3cXGTewSQiIqIewWLzMp5++mloNBp4e3sjKioK48ePx5QpU6C65Ow8nU4H\n",
"AJfdTCgoKAjFxcWor7/wS2FdXd0VzyWiqyMUM5TXfw2cKbDvHBYL+cFFkMIiez6wTjApAv+7vwx7\n",
"iuphvuhzsVEh7pgW5Y1wL1eMCNBCo+ZKCCIiIup5LDbbER0dDbVaDaPRiMbGRpw7dw5paWlIS0vD\n",
"t99+iyVLlsDX19c6vrm5GQCg1Xa8W6Ol32AwWNssf+7sXMu1iOjKiWYDRMZBiI/+ZtsRkwD5xruA\n",
"mARImt67++rPZxvx5u6zNktlQzxd8MzEMCSG9J2jV4iIiKj/YrHZjgULFth8bTKZcPjwYaxZswZF\n",
"RUX429/+htdee81u3uWW3Vr6L95x1vLnzs4loisj6muhLH/7/F3MZoNt55DhkF94E5JG45zgOun4\n",
"OT3+c7wKR8v11jYvjQr3jgrE9cN94KLiXUwiIiLqHVhsdpJarcaECRMQGRmJ3/zmNzh58iRycnIQ\n",
"GxsLAHBzcwNw+buOln7LeMufGxsbr2guEV2ekrYHYtf3wMlj9p1qF0gPPAV58oyeD6wdzSYFRboW\n",
"VDWdPwOzUm9ERpkeJyoNdrvK3hzrh4fGBEPN5zCJiIiol2Gx2UXh4eFISUlBWloaTpw4YS02LUtq\n",
"q6qqOpxv6ffx8bG2+fr6orGxEVVVVYiKiurS3I4YjUYYjW0f2C5JkrVolSTJ7mxPoithyaPekE9C\n",
"CIif90JZuwJoqLPpkyZcC2nKTEhDhgPuHk6P12gWqGwy4mh5E3YX1uN4hf6ycyYP9sJjqaHwc+vf\n",
"P8Z7U05R/8CcIkdiPpEjXZxHBoOhw1WNLi4ucHFx6Ymwrkr//i2lm4SHhwMAGhoarG2DBw9Geno6\n",
"CgsL251nNBpRWlpqHW8RGRmJM2fOoLCwEOPGjWtzbmVlJQwGA1xdXREWFtapOL/88kusW7euzT5/\n",
"f3/84x//AAAEBwd36vWIOqu982K7m9LYgIavP0PL0Z/Rkp0BmM02/d73Pw7PG26Dyr/jzbh6QvoZ\n",
"Hf79cwlKavXIq2pqc4xKkhDg4QoACPB0xZShARga4IEZMUFQD7Dlss7KKeq/mFPkSMwncrTnnnsO\n",
"NTU17fbfdddd+MUvftGDEV0ZFptXwLKc1d39wiYc8fHx2LhxI44dOwYhRJufcGVlZcFkMiEkJAR+\n",
"fn42c/fv34/MzEzcddddbV4zIyMDABATE9PpT89uv/12zJs3r82+i1+joqIC5kt+KSe6EpIkITQ0\n",
"FOXl5T3+jLFQFJh//QDQeMluza6ukO94ENKMedDLMvQtRqCsrMfiMikCNXoT0ssacbRcj4omI4rr\n",
"WmAwKm2Oj/LV4Joob1w71AeB7uo2/n9XUFlxrvsD7yWcmVPUPzGnyJGYT+RIsiwjJCQEAPDuu+9e\n",
"9s5mX8Bisw2lpaUwmUwIDw+HWm3/V3T8+HEA53estUhKSoK3tzeqq6tx+PDhNu9Qbt26FQAwZcoU\n",
"m/ZJkyZh9erVyM3NRVFRkd15m0IIbNu2rc25Hens7XUhBH9AkkP1ZE4JYyvEvm0Qn/7jQuOQ4ZDG\n",
"TAQCQyCNn9bpTbgcKa+6GZtya7E9v67dMe4uMmZG+2CwrwYJwe4IcFdDe8kxJfx/8zz+nCJHY06R\n",
"IzGfyBEuzqH+skcLi802LF++HLm5uXjmmWfsirvt27fj7Nmz8PX1RXJysrVdlmXMnz8fH330Edau\n",
"XYvExESbo0zS0tJw+PBheHp62t1t9PLywpw5c/D1119j1apVeOWVV2zO8dy8eTMKCwsRHh6O6dOn\n",
"d9N3TdS3iKLTELs2Q+zZatMupV4D+X9ecEpMBqOCPUX12Jqnw6lq+w2/Bvu4YlSoB8I8XTDYV4Ok\n",
"EHc+50NERET9FovNNsyZMwe5ubn4xz/+gdOnTyM+Ph4qlQpHjhzBDz/8AAB48MEHbQpCAJg9ezaO\n",
"Hj2KtLQ0/O53v8PNN98Mb29vZGdnY9OmTVCpVHjqqafg4eFhd8358+cjJycH2dnZeO2113DjjTdC\n",
"o9FYr6nVarFo0SK7axINFELfCHH4J6CkACLzIFBzyWZcGjdIv3wc0sRreyQesyJwssqA/SUNKNa1\n",
"oLiuFTUGk9240aHuuGGEL1IHecFFxcKSiIiIBg5J8J5/m7Zt24Y1a9agpaXFpt3NzQ0PPPAAZs6c\n",
"2eY8k8mENWvWYMuWLTbtvr6+eOKJJzB69Oh2r6nX67FixQocOHDApj00NBSLFy+2WbbrSOfOneMz\n",
"m+QQkiQhLCwMZWVlDl1OJHKOQnnnFfsOWYY0fjqkOxZA8gtw2PXaYlYEcqsNqNabkHamETsL69sd\n",
"q1FJuDXOH7fG+cPTlR8QXY3uyikauJhT5EjMJ3IkWZb73WZTLDY7oNfrcfToUVRUVAA4v2trUlKS\n",
"zcZA7amsrERmZib0ej1CQ0ORkpLS5vOfbTlz5gyys7PR0tKCyMhIJCcnd+tSOxab5CiOfNMV1RUQ\n",
"+7cDpSUQaXsudIQMgjRkGKTx04Ck1G77f8OkCGzOrYXBqKCx1YyNObVtjtOqZYwJc0eUnxaRPq4Y\n",
"E+YBN7XM5bEOwl/kyNGYU+RIzCdypP5YbHIZbQfc3d0xceLEK5obFBSEWbNmXdHciIgIREREXNFc\n",
"or5OmExQ3v0dkJtl1yc9+jzkCd333HKxrgWZ5U2obDLiu1wdjIr9Lw5qWYKPVoUgdxcsmhSKME9X\n",
"qGQWlkRERESXYrFJRL2CUMwQ//4nxM7vbDvikiEFhUGadB2k4XEOv+7R8iaU1LXix/w6nK6x39TH\n",
"V6vCYB8NNGoZs4b5YEKEJ+9aEhEREXUCi00icipReArKh38BKsttO4bGQP7NG5BcNQ6/Zn5NM3YW\n",
"1GFnQT3qWuyXkI8M1MLfTY05MX5ICrXf0IuIiIiILo/FJhH1OGE2A0V5UD76G1BRZtvp4wd54bOQ\n",
"EsY4/LrpZU347GgVcqoMNu1atYxB3i7wcFXh/5s2CO4u3NSHiIiI6Gqx2CSiHiMUM8QPGyHWrwYu\n",
"2UhBuulOSJNnQgp13PPKtQYT9hbV41yTEXsL61HbbHsXc1KkJ24c4YfRYbx7SURERORoLDaJqNuJ\n",
"ZsP5u5gZB207XF0hXTsH0i33QdJoHXa9E5V6/GVvKar19udeemtUmDfSD3Ni/OCl4R1MIiIiou7C\n",
"YpOIupXQN0F56VHA0HShcXA05Ll3A6PHQ5KvvuBraDHjx3wd8mtakFHWZPcc5nzaC9QAACAASURB\n",
"VIgALQLc1Rjmp8X8xABu8ENERETUA1hsEpHDCUWBsn87xJH9QOahCx2JYyEveBqSX4BDrmNSBHbk\n",
"12H5oXKY2zje7I54f9yXFAgXleyQ6xERERFR57HYJCKHUbLSUfvlGpi3fAmYbJewShOmQ3rk1w67\n",
"q6g3mvH0twU2S2UD3dUYG+6J8RGeSA51Z5FJRERE5EQsNonoqomKUiifLAdOZKLx0s64ZMizboGU\n",
"lHrV1ynWteBsQyvWZ1XjVPWFMzG9NSosGB2E2cN9r/oaREREROQYLDaJ6KqIzENQ3v+j9WvZywci\n",
"YQwQkwhp6myH3MnckF2NDdk1aGjjTMwZ0T54ZmIon8MkIiIi6mVYbBLRFRGlxRDffAbx815rmzT3\n",
"Fwh//DcoP3cOQrTxEOUV+PG0DqvTK23aXFUSJkZ64ReJAYj00TjkOkRERETkWCw2iahLREM9lA//\n",
"DOQctWmXFj4L1ZSZkGTHPCdZazDhr3vP4niFwdq29LoIpIR7OuT1iYiIiKh7sdgkossSihmoKIfI\n",
"Sof47EPbzrjk8zvMBoY47HpfHK/CJ5lVNm3L5kQhys9xZ3ESERERUfdisUlEHRJH06D87+v2HTGJ\n",
"kJ94CZKnt8OudfBMA1b+XIGKJqO1LSHYDS9MHQQ/N/64IiIiIupL+NsbEbVJKArEmvch9m2z7Rg0\n",
"BPKdD0EaNfaqr6E3mvHdSR3KGltR0WjE0XN6a1+guxqvzojkM5lEREREfRSLTSKyIY4dhkjfD3Fo\n",
"D9By4XlJ6aFnII2bCklz9UtZKxqN+M/xKmw7Xddm/2OpIbhphC93mCUiIiLqw1hsEhEAQPnwLxAZ\n",
"BwFjq22Huyfkpcsg+Qdd1eubFYHt+XXYmqdD7kVnZAJATIAWg301UEkSbovzR7i361Vdi4iIiIic\n",
"j8Um0QAnjuyH8p+VQI3t8SLS1NnAiARI46+BpHa5otduMSnYUVCHo+V6/FTcgEsPQxkRoMXClGAk\n",
"BLtfYfRERERE1Fux2CQagIQQEN/8G2LzesB0YTMeuLlDfvR5IDYJkmvXn5U0mgX+dagYR4srUFjb\n",
"gkJdi92YQHc1bo71w9wYf7iouEyWiIiIqL9isUk0wIiqc1B+96RtkenrD2nsFEjzH4akUnX9NYXA\n",
"J5lVWJdV3Wb/YB9XJId5YFSwOyZEel1p6ERERETUh7DYJBoARHUFlNX/C+QeB8zmCx0eXpAXPgsp\n",
"OfWKXtekCOwvbsDGnBqcuug5TG+NCpMHeyHKV4NJkV7w5bElRERERAMOfwMk6sdESzOUv/0OyD9p\n",
"1yfNuhXS/IWQZLnLr5tR1oRPMyvtNvrxd1Pj4wdSIel1EOLSJzSJiIiIaCBhsUnUD4lmA9DUCOXl\n",
"xwCz6ULHyFGQ590NDIuD5NL1TX+MZoFnvyvAmXrbHWuD3NVIDvPAwpQQhPu4oUyvu9pvgYiIiIj6\n",
"OBabRP2IKDgFZf2q88tlL76zGD4Y8nN/gOQb0KXXqzWYcOycHpnlTahsMiKzXG/TP22INxaODYb/\n",
"f5fJ8lxMIiIiIrJgsUnUDwhFgfLOy0Bull2fdM31kBc83aXXqzGY8NnRKmzJa/sO5fgIT7w4NRwu\n",
"qq4vwSUiIiKigYHFJlEfJ4pOQ/nwz0BF2fkGVw2kG26HNH464OEFycu7/bn/vftZUteK0zXNOFPf\n",
"ioLaZhwubbIZF+zhgsQQN4R5umJEoBvGhHl02/dDRERERP0Di02iPkroG6F88CZw8tiFxqgRkJf8\n",
"tcPlrEazwDcna7CzoB5n61tgUtq/xsRIT9yfHIRIn66fuUlEREREAxuLTaI+SFRXQHnpUZs26frb\n",
"IN3xYJuFphAC2RUGrM+utrtrebFwL1eEeblgmL8Wc2P8eGQJEREREV0x/iZJ1IeIlhaIw3shPl52\n",
"oXF4HOSHn4MUFGo3Xm80Y93xamzKrUWzyfYoEi9XGXePCsTwAC28NCqEe7lC5gY/REREROQgLDaJ\n",
"+gDR2gLl/71mu2QWgHT7A5DnzLdpa2o1Y9PJWmSWN+F4hcHutWZEe2NWtC8SQty7NWYiIiIiGthY\n",
"bBL1cqLoNJQ/Pmfb6O0L+ZePQ0qZbNNc2WTEo1+dtnsNfzc1Fk0MRXKoB1Qy714SERERUfdjsUnU\n",
"S4naaoj1qyAO7rrQOGQ45CeXQPIPtBl78EwD1mdV42RVs7XNW6PCjSN8cU2UNwZzgx8iIiIi6mEs\n",
"Nol6ESEEkHEQyk8/AhkHbfqkG++EdMcC6wZAuVUG7CyoQ05VM07XNNuMfWhMEG6PD+ixuImIiIiI\n",
"LsVik6iXEEWnobz/R0BXbduRmAL57kchhUZACIHvcmvxTU4NShuMdq+xMCUI06J84M9dZImIiIjI\n",
"yfgbKZGTCZMJ4ss1EFu/smmXrr8Np6beiTN6gYKzLSg4VtTmhj/Thngj2l+DqUO8EeTh0lNhExER\n",
"ERF1iMUmkROJ7Awo7/7+wtcAimfeg/TE67ExpxZ128vanKdVS7h7VCBuHukPFxU3/CEiIiKi3ofF\n",
"JpETiJyjUDavB7LTAQBlbgH4evgN2BsyGk0mAJlV1rESgDAvFwz102KonwbjI7ww2MfV+uwmERER\n",
"EVFvxGKTqIcp//o7xO4tKHYPQdrg67A7JAUlHiHnO00Xxg3312LyYC/cmcCNfoiIiIio72GxSdRD\n",
"REszlCX/A0OTHp8Nm4dvIqfZjRns44obR/hhTowv71wSERERUZ/GYpOoBwhFQdYbr2HV8F/ilPcQ\n",
"m77EYDdMGeKNa4d6w91F5aQIiYiIiIgci8UmUTerrNNj5Sc/4MDIBTbtEd6uWHpdJII9uYMsERER\n",
"EfU/LDaJuknz8Qzs2p6GDwKuAXxHWtvvSQzAbfEBcHORnRgdEREREVH3YrFJ5EDCZIIu6xjeOFiD\n",
"Ux6DgIBrrH0TzOV4+PbJCPVydWKEREREREQ9g8UmkYPU1DVizb++xw6/RMBjkLXdT2rF3fH+uGn0\n",
"tc4LjoiIiIioh7HYJLpKQghsO34W7x9tBPwSre2pUg2emJuMAB8PJ0ZHREREROQcLDaJrlBdswn/\n",
"2p6NH2ptl8XGKrW4e+YopITHOikyIiIiIiLnY7FJ1EX1zSasyzyHjXkNAC4Umr6tDfhlcxZmP/QL\n",
"SG7uzguQiIiIiKgXYLFJ1EkHSxrw3dFSZOiETXtkUzmuRynm3jQJqsiHnBMcEREREVEvw2KT6DLM\n",
"isCGH47gkyrbZy+DDTX4H+Ri3KMLIMk8xoSIiIiI6GIsNok60HDqJB46aIJJulBo3la8EzNUVYhM\n",
"ToB8w0POC46IiIiIqBdjsUkEoKHFDLMiUNbYisz0XBw9p8cZ4YY6lRsgqQCcXy77ZHgz4n77K0iy\n",
"yskRExERERH1biw2acBqajVj5eFzSDvTiIZW5aIeLSBrbcbeohTh4QXTIGndejZIIiIiIqI+isUm\n",
"DShCCJxtaMWxcj0+PlKBFrOwG6NWTIhtOovRHkZE+Llh2IQUBAfxGBMiIiIioq5gsUkDghACh840\n",
"4p19pXYF5si6QkypyMTYmhy4mVrgN2M25AcWOilSIiIiIqL+gcUm9XtCCLy8rRhZFQab9iGNZbjx\n",
"7E+4vuwgpP+2yc/8HtKocT0fJBERERFRP8Nik/otIQQ25tTgk4wqGJXzdzM15lY8cmojriv/GSr8\n",
"9w5nxFBIc+ZDGjcFkiR18IpERERERNRZLDapX2lsMeP7PB1O1zTjp+IGm77IpnL87ef3oBIKEJcM\n",
"KSYB0rQbIHn7OSlaIiIiIqL+i8Um9XlCCHx7shY/nK5Dka6lzTFP5XyO68oPQ1apIN33BORpN/Rw\n",
"lEREREREAwuLTeqzWkwKdhXWY11WNc41Gm36YusKMKSxHGOrT2BMzUmoAoIgPfIcpPHX8IxMIiIi\n",
"IqIewGKT+qSNJ2rwf0cq7NrvLfge887sg5u5BQgKhRQTC2nWY5CGDHNClEREREREAxeLTeoTLHcx\n",
"T1TqcfycHhVNJmtfZFM5plZk4I7inVAJBdKk6yDd+RAkHz6LSURERETkLCw2qdfbckqHDw6V27X7\n",
"t9Th1cwPEaGvBABIN94J6fb7uUyWiIiIiKgXYLFJvZLRLLCjoA57iupxtFxvbQ8w6zHm3DEMaSrD\n",
"DaUHoBYKkDwe8pNLIMmyEyMmIiIiIqKLsdikXkMIgf0lDVh5uALVepNd/5Kj/4dxNTnWr6VxU88f\n",
"XRKX3JNhEhERERFRJ7DYJKc5fk6PIl0LKpqMOFGpx8mqZrsxgxvLkFqdjVtKdsPLZACCwyCNnghp\n",
"5s2Q/AOdEDUREREREXUGi81eqq6uDunp6dDpdAgODkZKSgq0Wq2zw7oqrWYFX+fUYl9RPfJr2z4P\n",
"EwA8hRG3Ff6IWaUH4G387xJajRvkF/8KaWhMD0VLRERERERXg8VmLyOEwIYNG7Bu3TooimJtd3Nz\n",
"w8MPP4xp06Y5MbquqW8xo6yhFSV1Lfj+lA6nqu3vXGrVEgapWhDQUIm4s5lIrspBVNNFmwFp3SA/\n",
"sxTSiPgejJyIiIiIiK4Wi81eZvXq1di8eTNCQkJw6623Ijg4GKdPn8bXX3+Nv//972htbcWsWbOc\n",
"HWaHqvRGvLq9BCV1rW32+2hk/AJFSCg6jME5P9kPcNVAGjsZUvIEIGUSJEnq5oiJiIiIiMjRWGz2\n",
"IkeOHMHmzZvh7++PP/7xj/D29gYAjBo1CikpKViyZAk+/vhjxMfHIzw83MnR2lKEwM6Cemw7rUNW\n",
"hcGmTwIQ4eOKWeGumPDDSgTnHbF/geAwSGMmQho7hUtliYiIiIj6ARabvcjatWsBAPPnz7cWmhaD\n",
"Bw/G3Llz8dVXX+Hzzz/Hs88+64wQ7ZgVgS+yqvHF8SqYFNu+uTG+WJgSArlVD+nrzyCWb7Qd4B8I\n",
"acosSFNnQ/IP6rmgiYiIiIio27HY7CWKi4tRUlICjUaDqVOntjlm5syZ+Oqrr3D48GE0Nzc7dcOg\n",
"ZpOCj49U4PtTOpt2D1cZ0yPccI2vgthjmyC+2AfUVkFcPGjUOMj3P8ndZImIiIiI+jEWm73EiRMn\n",
"AAAxMTFwdXVtc0xwcDCCg4NRUVGBgoICxMXF9WSIAACTIvDeT6XYU9Rg0+4ujPhdxfcYWZQO6BsB\n",
"wLbABAD/QMjPvwEpOKxngiUiIiIiIqdhsdlLlJSUADi/XLYjkZGRqKioQElJSY8Vm8V1LfjuZC32\n",
"FehQb7LtC9NXYmHeNxhXk2M/UZKB0eMhT7gWiEkAPL252Q8RERER0QDBYrOX0OnOL0cNDOx4aWlQ\n",
"0PlnG+vr67s1nmaTgm9yanC0pBZHa8x2/eH6SryQtQZDDJXAiARIcTMBVy0QGAwpLBKIGAp4eEJy\n",
"1XRrnERERERE1Dux2OwlmpvPn0F5uecwLf0Gg6HDcVdCKAqyiyqx9kARjivedv1jq09gdG0uxrjq\n",
"ET44HPLjiyDFJjk8DiIiIiIi6vtYbPYSnV1eKoTo0vjOOHPoMIpz85HZokWaXxzgHoTg//aFGyow\n",
"pvokpnnoEXD9JEjxdzrsutT/WPJSlmVrrhJdDeYUORpzihyJ+USOJMuys0NwOBabvYTljqXlDmd7\n",
"OnsHFACMRiOMRmObfZIkwc3NDQAw9uY5GAvg9i7ES9SRkJAQZ4dA/QxzihyNOUWOxHwiRzMYDB1+\n",
"gOHi4gIXF5cejOjKsNjsJXx9fQEAVVVVHY6z9FvGd+TLL7/EunXr2uyLjo7GW2+91cUoiYiIiIio\n",
"u/3hD39Afn5+u/133XUXfvGLX/RgRFeGxWYvYdmFtrCwsMNxRUVFNuM7cvvtt2PevHnt9ut0Orz1\n",
"1ltYunSp9S4n0dUwGAx47rnn8O677zKnyCGYU+RozClyJOYTOZrBYMAf/vAHvPDCCx3mVF+4qwmw\n",
"2Ow14uPjAQCnTp2CwWBoM7lKS0tRVVUFrVaLqKioy75mZ26v5+fn8xkDchghBGpqaphT5DDMKXI0\n",
"5hQ5EvOJHE0Igfz8fLi5ucHd3d3Z4Vy1/vcUah81aNAgREVFobW1FTt37mxzzNatWwEAqampcHV1\n",
"7cHoiIiIiIiIuobFZi9y7733AgA2bNiA2tpam77Tp09jy5YtUKvVuOuuu5wRHhERERERUadxGW0v\n",
"Mnr0aNx0003YvHkzXnnlFdx+++0IDg5GXl4evv76ayiKgkceeQShoaHODpWIiIiIiKhDLDZ7mYce\n",
"egheXl5Yv349/vnPf1rb3dzc8NRTT2HatGlOjI6IiIiIiKhzWGz2QnfeeSdmzZqF9PR01NXVISgo\n",
"CCkpKZ06W5OIiIiIiKg3YLHZS/n4+ODaa691dhhERERERERXRPXqq6++6uwgyHlkWUZCQgJUKpWz\n",
"Q6F+gjlFjsacIkdjTpEjMZ/I0fpTTkmCBwMRERERERGRg/HoEyIiIiIiInI4FptERERERETkcCw2\n",
"iYiIiIiIyOFYbBIREREREZHDsdgkIiIiIiIih2OxSURERERERA6ndnYA5Bx1dXVIT0+HTqdDcHAw\n",
"UlJSoNVqnR0WdbOWlhYcO3YMpaWlMJlM8Pb2xvDhwxEVFXXZuRUVFTh69CiampoQHh6OMWPGQK3u\n",
"3I+QkpISZGdno6WlBYMHD0ZSUhJkuXOfdeXl5SE3NxeKomDYsGGIi4vr1Dzq3ZhP1JHS0lJkZ2ej\n",
"vr4ePj4+GDVqFIKDgzucw5yi9uTn5yMvLw9NTU3w8/NDYmIiAgMDLzuPOUVd0dfyRQiB7OxsFBQU\n",
"QKVSYeTIkYiOju7U3K5gsTnACCGwYcMGrFu3DoqiWNvd3Nzw8MMPY9q0aU6MjrrToUOHsGLFCjQ2\n",
"Ntr1xcfH47nnnoO3t7ddn8lkwpo1a7Blyxabdl9fXzzxxBMYPXp0u9fU6/VYsWIFDhw4YNMeGhqK\n",
"xYsXd/hDraamBu+//z6ysrJs2qOjo7F48WKEhoa2O5ecQ6fT4cUXX0RdXR2eeOIJXHvttXZjmE/U\n",
"kcbGRnz44Yc4ePCgXd+cOXPw4IMP2rUzp6g99fX1ePfdd5GdnW3TLkkSrrvuOjz88MNwcXGxm8ec\n",
"GrhaW1uxdetWfP3116irq8P06dPx5JNPdjinL+bL2bNnsWzZMhQVFdm0Jycn46mnnoKPj0+7c7tK\n",
"9eqrr77qsFejXm/16tXYuHEjgoOD8ctf/hI33XQTBg0ahNzcXOzbtw9+fn7d8qkGOVdeXh7+9Kc/\n",
"wWw2Y968ebjtttswdepUhISEoKioCKWlpThz5gymTp1qM09RFLz77rvYvXs3oqKicP/992P27NkI\n",
"DAxEdnY29uzZg+joaISFhdlds7W1FW+88QYyMzORkJCA+++/H9dddx08PDxw9OhR7N27F8nJyfDz\n",
"87ObW19fj6VLl6KgoAATJkzAfffdhylTpkCWZWRmZuLAgQOYOHEiPDw8uu3vjLpGCIF33nkHxcXF\n",
"AIDx48fb3TFnPlFHDAYDXnvtNWRlZSE8PBz33HMP5syZg+joaOTn5+P48eMICQnBkCFDrHOYU9Se\n",
"1tZWvP7668jNzUVgYCDuu+8+3HDDDQgLC8OpU6eQl5eHmpoapKam2sxjTg1c27dvx9tvv420tDS0\n",
"tLQAAKKiouxy5GJ9MV/Kysrw+9//HhUVFZg5cybuvvtupKamorm5GZmZmUhPT8eUKVPg6up6FX+b\n",
"F7DYHECOHDmCVatWwd/fH2+++Sbi4uIQEhKC2NhYjBkzBjt37kR6ejomTZoELy8vZ4dLDrR27VoU\n",
"FRXhnnvuwfz58xEWFoawsDAkJiYiMTERO3bsQFlZGa655hp4enpa523ZsgWbNm1CVFQUXn/9dURH\n",
"RyMkJASJiYkYPnw4du/ejczMTMyYMQMajcbmmp9++ikOHDiA0aNH4+WXX0ZkZCRCQ0MxZswY+Pv7\n",
"4+DBg8jKysLs2bPtloq8//77OHnyJGbOnImnn34a4eHhCA8Px4QJE2A2m5GRkYHCwsI275yRc3z1\n",
"1VfYvn279evU1FS7YpP5RB356KOPkJGRgbi4OPzxj3/E8OHDERISghEjRsDf3x95eXnw8PCwuUvA\n",
"nKL27NixAz/++CP8/f3x5z//GXFxcQgNDUV8fDwSEhKwa9cuFBQUYOrUqTa/8zCnBq7Vq1fj7Nmz\n",
"SEpKQkJCAgoKCi5bbPa1fFEUBW+99RbKy8txzz334P7770dYWBgiIiJwzTXX4Ny5czh+/Dh0Oh3G\n",
"jx/vkL9XbhA0gKxduxYAMH/+fLvlkoMHD8bcuXNhMpnw+eefOyM86ka33norXnvtNcyePduub/jw\n",
"4Rg0aBAAoLCw0NpuMpnwxRdfAAAeeOABu0+4kpKSMGXKFDQ2NuKbb76x6dPpdNi8eTMkScLChQsh\n",
"SZJN/4wZMxATE4Py8nLs2LHDpi8/Px+HDh2CVqvF/fffbxfv/PnzrZ8YZmRkdP4vgbrNyZMn8fnn\n",
"nyMwMBBjx45tcwzziTpy9uxZ7NixA7Is4/HHH7d7zmnq1KlYvnw5HnroIWsbc4o6kpOTAwCYOXOm\n",
"zYeoADBy5EjExsYCAE6cOGFtZ04NbJMnT8Y777yDl19+GSNHjrzs+L6YL2lpaTh9+jSCg4Nx6623\n",
"2s1duHAhNBoNdu/ejdLS0sv+HXQGi80Bori4GCUlJdBoNHZLJS1mzpwJADh8+DCam5t7MjzqZpGR\n",
"kRg5ciTc3d3b7DeZTABg8+xKRkYGGhsbERQUhMTExDbnzZgxAwCwb98+m/b9+/dDURTrJ8kdzd27\n",
"d69Nu+XrCRMmtBmvSqXC9OnT25xLPa+xsRHLli0DADzzzDPtLvFiPlFHdu/eDQBISEjo9HNpzCnq\n",
"iOV9rb33PTc3NwDnHwGwYE4NbNdffz0iIiI6Pb4v5suePXsAANOmTWtzAyIPDw/rHU1H5RqLzQHC\n",
"8sldTExMu2uwg4ODERwcjNbWVhQUFPRkeORE+fn5KC8vhyRJGDx4sLXd8qnwqFGj2p0bGxsLFxcX\n",
"VFVVoaqqytpuybeO5iYlJQE4/zzpxZtVWeZa+juae/LkyXbHUM9Yvnw5qqurMX/+/A4/CWY+UUcs\n",
"G7gkJyd3eg5zijpi2X/i8OHDdn16vR65ubk24wDmFHVNX8wXS8w9mWssNgeIkpISALApJtoSGRlp\n",
"M576N51OZ70rlZycjKCgIGufJQcu3ozjUmq12vrQ+8U505m5AQEBcHNzg8lksi7VEELgzJkzADrO\n",
"VUtfZWUlWltb2/8GqVtt3rwZP//8MxITE3HHHXd0OJb5RB2xbCzVmaVrFswp6siMGTPg7++P48eP\n",
"W5c6AkBTUxOWLVuGhoYGpKamYujQodY+5hR1RV/Ll7q6OjQ0NFz2upa5lp/LV4vF5gCh0+kA4LLn\n",
"SlmKjfr6+m6PiZyroqICS5cuRXl5OYKCgvDYY4/Z9F9NztTV1V3R3ObmZusPxY7muru7Q6vVQgjB\n",
"XHWSgoICfPLJJ/D29saiRYsuO575RO1pbm62ProxaNAgKIqCtLQ0fPDBB3jrrbewcuVK66fxF2NO\n",
"UUc8PT2xZMkShIeHY926dXjsscewZMkSPP7448jIyMCkSZPwzDPP2MxhTlFX9LV8sVzT0tcey+ta\n",
"CtOrxXM2BwjLG3lHyXVxv8Fg6PaYyHlyc3Pxl7/8BfX19RgyZAheeukl+Pv724y5mpyx/Lmzcy3X\n",
"uvg1OjO3ubmZueoEzc3NeO+992A2m/H000/D19e3U3MA5hPZs/x7ybIMIQT+9Kc/4dixYzZjfvjh\n",
"B8ydOxcLFiywm8ecova4u7sjKCgIpaWl0Ol01uJAluU2j6JgTlFX9LV86eo1hRBobm6+7PjLYbE5\n",
"QFy6y1V7LA/Kd3Y89T3bt2/HypUrYTabMXHiRDz55JN223Ff7OLNEzrqvzhnLH/u7NxL53UFc7Xn\n",
"ffjhhygvL8ctt9zSpWfsAOYT2bM8i6RWq61ntS5evBjjxo2DTqfDjz/+iI0bN2LTpk0YNmwYpkyZ\n",
"YjOfOUVtqa+vxyuvvIKamhrMnj0bt956K/z9/VFUVIS1a9diw4YNOHXqFJYsWWK3UQpzirqir+SL\n",
"s3KNy2gHiEs/GWlPZz+lob7pq6++wooVK6AoCu69914899xz7Raalp36OpszlvFXM/fi12Cu9k47\n",
"duzAvn37MGLECNxzzz3tjrv0DZL5RO2x/Du1trYiJycHv/3tbzF58mS4uroiODgY9957L+bNmwcA\n",
"+O677+zmMaeoLatWrUJNTQ3mzp2LRx99FEFBQVCpVIiOjsaSJUsQExODY8eOMafoivW1fOlqLSBJ\n",
"Uoc3IzqLxeYAYVnmdvFOWG2x9HdmWRz1LQcOHMC///1vqNVq/PrXv8Ztt93W4fiu5oyPj89Vz9Vo\n",
"NNYfbJWVle3Oa2pqQnNzM2RZtjszlrrXrl27AACnTp3Cfffdh7vvvtvmP8sRFsuXL8fdd9+NDz74\n",
"AADzidqn1Wqtd5aSk5MRExNjN+aGG24AcH73bMuRFswpak9VVRX27dsHrVaLu+++265flmXMnz8f\n",
"wPkl2hbMKeqKvpYvlmvq9Xro9fouxXs1WGwOEJadpQoLCzscV1RUZDOe+ofm5mZ89NFHAIBf/epX\n",
"1jOUOtKZnDEajdYd0i7OGcuuxh3NrayshMFggKurq/XZGUmSrHMtudgWS19wcHC7R/lQ94iOjsao\n",
"UaPa/c/yZhYREYFRo0ZZ/z07kxPMp4FJkiTr2XYX7wx6sYCAAMiyDEVR0NjYCIA/o6h9lr//6Ojo\n",
"du/MWD7UKC8vR0tLCwDmFHVNX8sXb29va+HZ0VxLTI6qBVhsDhDx8fEAzt+NaO/B8tLSUlRVVUGr\n",
"1SIqKqoHo6Pu9sMPP6C+vh7jx4/Htdde26k5lpw5duxYu88UZGVlwWQyISQkBH5+fnZzMzMz2339\n",
"jIwMAOff8C9+JsAy19Lf0dy4uLjOfCvkQAsWLMArr7zS7n+W87luueUWvPLKK7j55psBAAkJCQCY\n",
"T9S24cOHAwDMZnO7YyzPdlp+ceLPKGqPpXjs6Hkzo9FoN545RV3RF/PFETAxWwAAByZJREFU8l7c\n",
"mbmxsbHtjukKFpsDxKBBgxAVFYXW1lbs3LmzzTFbt24FAKSmpvJTs37mxx9/BIDLLp29WFJSEry9\n",
"vVFdXd3modjAhZy5dMOOSZMmQa1WIzc3t81Pz4QQ2LZtW5tzp06dCgA4dOhQm9u7t7a2WpdyWsZS\n",
"78d8oo5Y/t0u3YXWIj8/H8D5T+nd3d0BMKeofaGhoQDO5017z6dZDqx3d3e33u1hTlFX9MV8sXy9\n",
"c+dOmw9cLHQ6HdLS0iBJkt11rxSLzQHk3nvvBQBs2LABtbW1Nn2nT5/Gli1boFarcddddzkjPOom\n",
"er0eZWVlUKlUHR7ie6mLn2lZu3at3Rt2WloaDh8+DE9PT+vmHRZeXl6YM2cOgPObNFx6t2Lz5s0o\n",
"LCxEeHg4pk+fbtM3ZMgQTJo0CUajEWvWrLGL69///jd0Oh0SEhKQmJjY6e+HnIv5RB1JTExEVFQU\n",
"8vPzrb9gWSiKgi+++AIAbP59mVPUnqFDhyI0NBQGgwErV660u+uk1+vxySefAAAmTJhgbWdOUVf0\n",
"xXwZN24cRowYAZ1Oh/Xr19v0KYqCjz76CCaTCdOnT7d+aHO1VK+++uqrDnkl6vVCQ0PR1NSErKws\n",
"HDhwABqNBo2Njdi3bx/++c9/wmg04pFHHrEug6P+QafT4bvvvoMkSTh58iR2797d7n9FRUU2R1lE\n",
"R0ejqKgIOTk5OHLkCLRaLWpra7F9+3b861//giRJePbZZ9ssYmNjY5GVlYWcnBxkZWVBq9WisrIS\n",
"mzZtwoYNG6DVavHiiy8iICDAbm58fDzS0tKQnZ2NgoICaDQalJaW4j//+Q927NgBPz8/vPjii/Dw\n",
"8OjWvzvqurS0NBQVFSE1NdVuOT7ziToSHx+PXbt2IS0tDTqdDrIso6SkBKtXr0ZmZiZCQ0OxaNEi\n",
"qFQq6xzmFLXF8lzb3r17UVRUhOPHj8PFxQX19fVIT0/HBx98gHPnzsHX1xfPPfecze6uzCkCzj+3\n",
"+PPPPyMqKgqpqantjuuL+RIfH4+ffvoJmZmZqKqqgkqlQlFREVatWoX09HRERETg2WefddgqR0lc\n",
"7oAX6nfWr1+P9evX23yK4ubmhocffhjTpk1zYmTUHSoqKrBo0aJOjY2Pj8fSpUtt2kwmE9asWYMt\n",
"W7bYtPv6+uKJJ57A6NGj2309vV6PFStW4MCBAzbtoaGhWLx4MaKjo9udW1NTg/fffx9ZWVk27cOG\n",
"DcMzzzzjsE/cyLE++OAD7Nq1C08++aTdp7EA84k6VlhYiGXLllk31LCIjo7G888/j8DAQLs5zClq\n",
"T1paGj788MM2lxpGR0dj8eLFbf47Mado586dWL58OaZPn44nn3yyw7F9MV/Onj2LZcuW2S3hTU5O\n",
"xtNPP+3QHY9ZbA5QdXV1SE9PR11dHYKCgpCSksJzm6hDlZWVyMzMhF6vR2hoKFJSUqBWqzs198yZ\n",
"M8jOzkZLSwsiIyORnJzc6YOC8/LycOrUqf+/nTvUaSyNwzj8tqkhIQgEBgcJolgugCvgTriG3gCa\n",
"O0AgMDhkLbUNkhRCEA0CfRLOWTEZdsnOzO6y/+yZs/M88qTiFZ/59bRf2rbN3t6eyxH+J5wnvqdt\n",
"2yyXyzw+Pib5EgVfL8T4EWeKb2maJnd3d3l+fk7TNNnc3Mz+/v53bz7+I2eKf2KI52W5XGa1WmUy\n",
"meTg4OCHcftZYhMAAIByLggCAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACg\n",
"nNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACgnNgEAACg3KTv\n",
"AQDA593e3ma1WmVnZyfHx8d9zwGAd95sAsCALRaLXF1dZT6f9z0FAD4QmwAAAJQTmwAAAJQbdV3X\n",
"9T0CAPj71ut1Tk9P//Jzl5eX/8EaAPg2FwQBwMCMRqOMx19+nNS27fvzr88A4GfgzSYADNj5+Xnm\n",
"83mm02lms1nfcwDgna9AAWDAfGcMwM9KbAIAAFBObAIAAFBObAIAAFBObAIAAFBObAIAAFBObALA\n",
"gI1GoyTJ29tbz0sA4COxCQADtrGxkSR5fX3teQkAfCQ2AWDAdnd3kyTr9TovLy89rwGA34lNABiw\n",
"o6OjjMfjdF2Xs7Oz3N/fp2maPDw8ZLFY9D0PgF/YqOu6ru8RAMDnXV9f5+Li4k/Pp9NpZrNZD4sA\n",
"IJn0PQAA+HdOTk6ytbWVm5ubPD09JUm2t7dzeHjY8zIAfmXebAIAAFDOfzYBAAAoJzYBAAAoJzYB\n",
"AAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAo\n",
"JzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAoJzYBAAAo9xta\n",
"OCUNLx9BNAAAAABJRU5ErkJggg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11806bb50>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 461
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(rewards1.cumsum())\n",
"plt.plot(rewards2.cumsum())\n",
"#plt.plot(epsilon_rewards)\n",
"\n",
"plt.legend(['Thompson', 'UCB'], loc='best')\n",
"plt.xlabel('t')\n",
"plt.ylabel(u'報酬')\n",
"plt.title(u'累計報酬')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Thompson Samplingは途中から特定の腕しか引かなくなる"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 分散の確認\n",
"\n",
"引かれる腕の回数がどれだけ偏るかを確認する\n",
"\n",
"- UCB\n",
"- Thompson Sampling\n",
"- Thompson Sampling (AlphaとBetaの上昇率を抑えた物)"
]
},
{
"cell_type": "code",
"execution_count": 186,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Start Thompson Samplig using alpha: 1, beta: 1\n",
"Start Thompson Samplig with stop using alpha: 1, beta: 1\n",
"Start UCB\n"
]
}
],
"source": [
"tests = 5000\n",
"arms = 50\n",
"alpha, beta = (1, 1)\n",
"strategy = ThompsonSamplingStrategy(alpha, beta, p=0.0001, arms=arms)\n",
"print('Start Thompson Samplig using alpha: %i, beta: %i' % (alpha, beta))\n",
"rewards1 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans1 = strategy.reward_history\n",
"pulled_count1 = map(lambda a: a.pulled_count, strategy.arms._arms)\n",
"armrewards1 = map(lambda a: a.reward, strategy.arms._arms)\n",
"\n",
"strategy = ThompsonSamplingStrategy(alpha, beta, with_stop=True, p=0.0001, arms=arms)\n",
"print('Start Thompson Samplig with stop using alpha: %i, beta: %i' % (alpha, beta))\n",
"rewards2 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans2 = strategy.reward_history\n",
"pulled_count2 = map(lambda a: a.pulled_count, strategy.arms._arms)\n",
"armrewards2 = map(lambda a: a.reward, strategy.arms._arms)\n",
"\n",
"\n",
"strategy = UCB1Strategy(p=0.0001, arms=arms)\n",
"print('Start UCB')\n",
"rewards3 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans3 = strategy.reward_history\n",
"pulled_count3 = map(lambda a: a.pulled_count, strategy.arms._arms)\n",
"armrewards3 = map(lambda a: a.reward, strategy.arms._arms)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 187,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Thompson Samplingの腕の分散 0.009055\n",
"制約付きThompson Samplingの腕の分散 0.007380\n",
"UCBの腕の分散 0.006541\n"
]
}
],
"source": [
"print(\"Thompson Samplingの腕の分散 %f\" % np.var(armrewards1))\n",
"print(\"制約付きThompson Samplingの腕の分散 %f\" % np.var(armrewards2))\n",
"print(\"UCBの腕の分散 %f\" % np.var(armrewards3))"
]
},
{
"cell_type": "code",
"execution_count": 190,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x113408d50>"
]
},
"execution_count": 190,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA44AAAKTCAYAAABWyFZlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3Xl8TNf/P/DXnUwySRBJJEQkRGhIELHUUopQtIpYImir\n",
"RYsPpeinVf2WoraWqqWorbUUaUsp/drVUlvsa2KLCCJCIiKyTLa5vz/ym/udm5m5mSwE83o+Hh5m\n",
"7rnn3DP33JnMe8655wiiKIogIiIiIiIiMkNV1hUgIiIiIiKi5xsDRyIiIiIiIlLEwJGIiIiIiIgU\n",
"MXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiI\n",
"SBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiI\n",
"iIgUMXAkIiIiIiIiReqyrgAREdGzlpubi0OHDuHy5cto27Yt6tWrV9ZVIiIieq6xx5GInqnJkydD\n",
"pVJBpVJhypQpRun6NJWKH09U+vLy8jBv3jx4e3ujQ4cOGDlyJBo0aAAvL6+yrhqvfXqqtFotfvnl\n",
"F4SGhsLX1xdOTk6wtbWFq6srmjRpgpEjR+LkyZNlXc3nHt+nZM141RO9xNq1ayf7I2f4z9bWFhUr\n",
"VkTNmjXRoUMHTJgwAZcuXXqm9RMEoVhpRMWRm5uL7t2749NPP8X9+/dlaffu3bOojAMHDph9TxXn\n",
"38GDB42OwWufStvu3bvh6+uLjz76CJs2bUJsbCzS0tKQl5eHlJQUnD17FosXL0bz5s0xfPhw6HS6\n",
"sq7yc8/U+7SwH0aJXnQcqkpkpfLy8vDkyRM8efIEt27dwv79+zFz5kx89tln+O6778q6ekSlbs6c\n",
"OdixYwcAoGLFinj33XdRr149qNVqpKenF6ksQRAgimKJ6iMIAoNEeuq2bt2KXr16ScGgl5cXQkND\n",
"8corrwAA7ty5gx07duD8+fMAgKVLl6Jq1ar4+uuvy6zOLyr9+5nvbXpZMXAkshLdu3dH9+7dpee5\n",
"ublITk7GxYsXsWPHDqSkpEAURcyePRvlypXjlwYrMXDgQKxZswYAsH//frRt27aMa/T0/PTTTwAA\n",
"tVqNQ4cOoX79+kUuo27duli+fLnZL4WiKGLIkCHS8++++w6VKlUyW56fn1+R60BkqaSkJHzwwQdS\n",
"0Dhs2DAsWLAAtra2sv1mzJiB4cOHY+nSpQCAhQsXYuLEiQx+iqh79+7w8vKCIAho3LhxWVeHqNQx\n",
"cCSyEo0bN8bgwYNNpqWnp2PYsGFYv349AGDmzJkYPnw43N3dn2UVqQy97L+Q37t3D7dv3wYAtGjR\n",
"olhBIwB4eHjgww8/VNxHHzgKgoC+ffuievXqxToWUUktXboUjx8/BgD4+vpi0aJFZu/NGzVqFCIi\n",
"IqTPgdTUVFSsWPGZ1fVl0KhRIzRq1Kisq0H01PAeRyJCuXLlsGzZMjg7OwMAsrKysG3btjKuFT1L\n",
"JR12+by7e/eu9NjHx6fsKkL0DO3du1d63KVLF8UJXQICAnD27FmcOXMGZ86cYdBIREYYOBIRAMDR\n",
"0REtWrSQnl+9erUMa0Nl4WUOHg3vYbSxsSnDmhA9O/Hx8dLjChUqlGFNiOhlwMCRiCSurq7S40eP\n",
"HkmPV61aJc0UN2jQoELL8fHxeS6mK09KSsL06dPRpk0beHh4wM7ODs7OzggKCsLYsWNx/fp1i8q5\n",
"evUqxo0bhyZNmsDNzQ0ajQaenp7o1KkTfvzxR2RmZirmL8r07Yaz8q1evVqWFhsbK6XVrFlT2n7g\n",
"wAGEhYXBx8cHGo0Gbm5u6NSpkzT0uKCBAwdK5ejvbwSA4OBgo1k/C9ZB78mTJ5g3bx6Cg4Ph7u4O\n",
"W1tblC9fHrVr18Y777xjcrbQ4jp16hRGjRqFBg0awMXFBfb29vD29kZISAhWrVqFvLw8s3n1MwsH\n",
"BwdL21avXm30Og3TnydnzpzBoEGDULt2bdjb28PFxQVt2rTBTz/9hNzcXIvK2LdvHz766CPUqVMH\n",
"Tk5OcHBwgI+PD/r164c///yz0Pymrt+tW7eia9eu8PT0hL29PWrWrIlevXph3759sryiKGLDhg3o\n",
"0KEDKleuDEdHRwQGBmLmzJnQarUmj2d4feqvv7S0NHz//fdo1qwZHB0d4eTkhKCgIHz99ddITk4u\n",
"9DXo69GjRw94eXlBo9HAwcEB1apVQ5cuXbB69WqLfjh59OgRZs2aheDgYFStWhUajQbu7u5o3rw5\n",
"Jk6cKOvZNsXUrJsZGRlYtGgRWrZsCTc3N9jb26NWrVr48MMPERUVVWidlJQvX156fOLEiRKVZejg\n",
"wYMYOHAg/Pz8UL58eTg6OqJmzZp4++23sWLFCsXJpgz/PuiHj//777/SsG79+/vNN9/Epk2bjPLv\n",
"3r0b3bp1g6enJxwcHFCnTh2MHz9eGpJbkKlznp2djWXLlqFNmzZwcnJCuXLlEBAQgP/+97+4c+dO\n",
"sc9LcZabKul7/OHDh5g8eTKaNGkCZ2dnODo64pVXXsGwYcNw5swZAEX/G05klkhEL622bduKgiCI\n",
"giCIU6ZMKXT/Ll26SPt/+eWX0vaVK1dK2wcNGlRoOT4+PqIgCKJKpTJKmzRpkmKd9Gmm8hbFqlWr\n",
"xAoVKkjlmfpna2srzps3z2wZubm54meffSaq1WrFcjw9PcU9e/aYLacor0l/flQqlbh69WpZ2s2b\n",
"N6WyatasKebl5YmjR49WrFufPn2MjjFw4EDFPIb1LVgHURTF06dPizVq1Cg0/9SpUwt9vUoyMjLE\n",
"999/v9Dj+Pn5iWfPnjVZRrt27Sx6rcHBwSWqqyHD83fr1q1i5RNFUfzuu+9EGxsbs3Vu3bq1qNVq\n",
"zZaXlJQkvvnmm4W+9ldffVWMjY21uF7//e9/FcubP3++KIqimJ6eLvbu3dvsfk2aNBFTUlKMjvfB\n",
"Bx/Irr/z58+L1apVM1uOu7u7uH//fsXzYMl10LVrVzErK8tsOWvXrhWdnZ0Vy3BwcBC///57s2UU\n",
"/PyLiYkRAwMDzZan0WjEjRs3mi2vMEOHDpWV988//xS7LFEUxZSUFLFnz56Fnstq1aqZPZbh34fY\n",
"2Fhx3rx5okqlMlvWp59+Kopi/ufxyJEjze5Xs2ZN8fbt20bHK3jO79y5IwYEBJgtp3z58uJvv/1m\n",
"9hwUfD8oHauwvCV9j//999+ii4uL2fx2dnbi1q1bxVWrVknbLPkbTmQOJ8chIgBATk4Ojh8/Lj0P\n",
"CAgodlliGQ95XLFiBYYOHSo99/HxQWhoKGrWrIm0tDRcunQJf/75JzIyMjB27Fio1Wp8/PHHsjJE\n",
"UTTqkWnRogW6dOmCSpUq4fr16/j9999x79493Lt3D126dMGGDRsQEhJSKq+hsHMoiiImTJiABQsW\n",
"wNnZGf3790e9evWQmpqKTZs24dSpUwCAjRs3YsWKFfjoo4+kvIMHD8brr78OURSxcuVKHD16FADw\n",
"+eefo06dOrLjvPbaa7LnN27cQPv27ZGamgoAqF69OsLCwlC9enU8efIER48exY4dO6DT6fD111+j\n",
"WbNm6NSpU5Fff1ZWFt544w0cO3YMQP5EM2+88Qbat2+P8uXLIzIyEr///jsePXqE69evo02bNtiz\n",
"Zw+aN28uK+fzzz/HgAEDcOXKFXz//fcAgFatWhn96l61atUi1/FpEUURy5Ytw/jx4+Hg4IC+ffui\n",
"cePGyMrKwo4dO6RevSNHjmDq1KmYNm2aURnJyclo2bIloqOjAeTPJNutWze89tprsLOzw+nTp7Fx\n",
"40ZkZGTg1KlTaN68OY4ePQpfX1/Fei1fvhw//PADbG1t0bdvXzRr1gz379/H8uXL8eDBAwD557xz\n",
"586YMGECNm3aBC8vLwwYMADVqlXD4cOH8dtvvwHI72mZNWsWpk+fbvZ4jx8/Rrdu3RAfH49GjRqh\n",
"d+/ecHFxQUxMDDZu3Ihbt24hKSkJb7/9Nv799180adJEVkZ2djY6deqEs2fPAsgfrtmvXz/UrVsX\n",
"AHDx4kVs2LAB6enp2LZtGyZPnowZM2YY1eXHH3/E6NGjpec1a9ZEaGgofHx88ODBA2zevBkXLlyA\n",
"VqvF559/joSEBMyePdvsuQTyJ5956623cO3aNQQGBqJ3795wd3fH9evXsXr1aiQnJyM7Oxsffvgh\n",
"goODZSNCLDVkyBAsX75cet6rVy/MmjULH330UZFHhGRkZKBDhw5SL5aTkxP69+8PPz8/2Nvb4+bN\n",
"m9iwYQNu3bqF+Ph49OrVC5cuXYKXl5esHMPPtl27dmHs2LEQBAEhISEIDg7GkydP8Msvv+DmzZsA\n",
"gLlz56Jr167Ytm0bFi1aBFdXV7z//vuoXbs2Lly4gF9++QW5ubmIjY3F+PHjsW7dOrOvIScnBz17\n",
"9sTly5fh5+eHvn37omrVqoiLi8Nff/2FqKgopKen491334WjoyO6detWpHNkqdJ4j+/atQs9evSQ\n",
"Zsx1dXXFO++8g7p16+Lx48fYtm0bjh49infeeUd27RKVSFlFrET09BWlx/Hnn3+W9rW3txeTkpKk\n",
"tKL2OOp7o8qix/H27dti+fLlZfU11YsQGRkpOjo6ioIgiE5OTmJmZqYsfe7cubJf/X/99VejMtLS\n",
"0sSwsDBpP2dnZ5M9TEV5TYbnR6nHUaPRiCqVSgwMDBTv3btnVM5HH30k7du4cWOzx9P37giCIB48\n",
"eLDQ+vXp00fav1+/fmJubq7RPmvWrJFe7zvvvFNomaYY9qQ6Ozub7NF98OCBrCfJx8dHTE1NNVne\n",
"gQMHntkv7obtXZweR/170MvLS7xy5YrRft98842sty0vL89on5CQEGkfLy8v8cyZM0b7xMTEiPXr\n",
"15f2a9q0qcmyDOtVsWJF0cXFRYyIiJDtc+fOHdHNzU3az9vbWxQEQezUqZNRm6xYsULaz8/Pz+h4\n",
"htdk9erVzX5WZGVliYMHD5b2rV+/vtH1uGjRIik9ICBAfPDggcnzYGtrK6pUKtHT09Mo/cSJE6Kt\n",
"ra1UzpgxY8ScnByj/WbNmiU7V1u2bDHax/D9bW9vLwqCII4bN85ov/j4eNHLy0vad8GCBUb7WOqT\n",
"Tz4x6omqW7eu+Ouvv5psb3PGjRsnaxdT5zIzM1N87bXXFOttOFqhYsWKokajMTpXjx8/Fv38/Iyu\n",
"p6CgIDEhIUG27+7du6Veu/Llyxu1jeE5119PQ4cONdpPp9OJEydOlPb18PAw2SNeGj2OJX2PZ2Zm\n",
"SudEEPJHDSQmJhqVs3btWtHe3l7UaDTscaRSwcCR6CVmaeB44sQJ2XAX/dAgvRcpcDT8ctOqVStR\n",
"p9OZ3bd///6ih4eHWLVqVfHChQvS9oyMDLFSpUpSOStXrjRbRl5enhgcHCzt+/HHH5foNVkaOCoF\n",
"qqIoinFxcdJ+arVaTE9PN7lfUQPHihUrSq8lPj7e5D45OTni1atXxatXr4pxcXGFlmmq7vov6jY2\n",
"NorD69LT00V/f3/pNcyePdvkfvv373+hAkc7Ozvx5MmTJvfLysqSfhxRqVRiVFSULP348eNSOeXK\n",
"lTNKN5SQkCBWrlxZ2n/Dhg2K9VKpVOKOHTtMljVq1CjZvq+88orZ604/9FSlUhkFlobXpCAI4pAh\n",
"Q8zWPy8vTzbUs2AAYhhAr1+/3mw5MTEx4tWrV8Vr164Zpb311ltSGR988IHZMkRRFL/++mtZIFuQ\n",
"4ftbEASxR48eZsuaPn26tF9YWJjicZXk5uaK/fr1MwoeBSF/eOeCBQvEjIyMQssxbLOffvrJ7H7r\n",
"1q2Tyh87dqxResFh7kuWLDFZzpw5c2T7ubm5mf3M0QerKpVKPH/+vCyt4Dnv3Lmz4us0vGVDP+za\n",
"UGkFjiV5j+t/nBMEQaxcubJRMG1owYIFsuMycKSS4OQ4RFZCNBgelJaWhtu3b2PLli0YNGgQWrdu\n",
"jZSUFADAq6++anJYzIvCcJjSjBkzFNcmXL9+Pe7du4f4+Hg0aNBA2r5582Zpwo1XX30VAwcONFuG\n",
"SqXCjz/+KD1fvXq1xZOWlNSoUaPMrhFYrVo1eHh4AAB0Op007Kuk9BPRiKKI+/fvm9xHrVbDz88P\n",
"fn5+qFatWpGPYXgOe/Xqhfbt25vd19HRUTYk0HBY3ousb9++aNq0qck0Ozs76XoVRRExMTGy9BUr\n",
"VkiPR4wYAX9/f7PHqVKlCr7++mvpeWHnr1u3bnjzzTdNpjVs2FD2fNasWXB0dDS5r2Gd9BOkmOLg\n",
"4IBZs2aZTVepVBg5cqT0PDw8XJZuOHGSuesVyB966ufnh1deeUW2/e7du9i5cycAwN7eHj/88IPZ\n",
"MgBg4sSJ0vsuMjJSGmptru764dOmGLZ/wTYuChsbG4SHh2PBggVGS2zExsZi9OjRqFWrFhYtWiQN\n",
"ezRl69atOHXqFE6ePIl3333X7H6enp7S47S0NMW6NWzYEMOGDTObZuirr74yO6Rcf2uFKIqKk9sI\n",
"goB58+Yp1mnMmDHS44LXU2kqyXt848aN0uOxY8eiSpUqZo8zfPhwVK5cuRRqTMRZVYmsxpQpU6RZ\n",
"1ZycnODj44OePXti9erVyMnJAQC8+eab2LFjBxwcHMq4tsVz584dafp5Nzc3tGnTpljl/Pvvv9Lj\n",
"/v37F7p/vXr1pAXlMzIypHuAnrawsDDFdP2XLFEUpXsSS6pdu3bS4169emHz5s2KXzaLw/D8v/PO\n",
"O4Xu36VLF+kLcXR0tHSv3YvM0rYFYNS2+vMnCIJF58/wGo+IiFBsT6WAwfDLq5OTE7p37252XxcX\n",
"FwD51+aTJ0/M7texY0dpfVlz3njjDemx4X3agPx6/eqrrzBv3jzF4xV06NAh6XGnTp0Kvc9QrVYj\n",
"NDTUZP6CgoKCUKtWLbPpSm1cHCNHjsT169fxP//zP0avIyEhAaNGjULjxo3NzuTauHFj6Z+lS3sU\n",
"9iOa0vVpeD0JgqB47emvJwCK7dugQQPp/lZz2rZtC7U6fwqQc+fOPbUfAkvyHj958iSA/PPSq1cv\n",
"xXLUajXefvvtYtaSSI6BI5EVEwQBarUarVu3xh9//IHt27cXawKG54Xh2pMFf60uCsMvTgUn2zBH\n",
"v58oiiWeQt8SdnZ2qFevnuI+hr09+h8HSmrWrFlwcnICkN9b0bt3b3h5eWHEiBHYvn07MjIySnwM\n",
"/fkTBMGi8y8IAoKCggDkn//IyMgS16EsGb4ec8y1bV5eHq5duwYAsLW1lfWkm+Pq6ooaNWoA+L/R\n",
"CObqZa6HBMjvkdNr2LCh4uQrGo3GZP0Laty4sdk0vRo1asDW1hYAcOvWLVkv4/DhwxEYGAgAyMzM\n",
"xKeffoqqVasiLCwMa9euVeyFBEr2WVAwf0HFbeOScHNzw7Rp03Dnzh0sXrzYaDKsCxcuoHnz5jhy\n",
"5IjFZebk5ODYsWOYN28eBg8eLOsBLoyl15OXlxfc3d3N7lua15OdnR18fHwA5E+udOvWrULzFFVJ\n",
"3uNarRYJCQkA8l+3n59foccryWR3RIYYOBJZie7du2PFihVYsWIFfvnlF/z55584ePAgHj16hH//\n",
"/Vf2K/mLynDtSTc3t2KXox+mKgiCxUN8DL/UGNbjaXFxcVEchgs8nYXu/f39cejQIdmXnoSEBCxZ\n",
"sgRdu3aFq6srevbsiX/++afYxzBcl684518/7PpFpvQlGTDftobXnouLi8XXgKXXr34Ypin6XprC\n",
"9gPk9RcVZhC2pP1VKpVsCKZh+zs6OmL//v3o3bu3tC0jIwMbN27E+++/D09PT7z22mtYuXKlyZ6l\n",
"kl6LSueyuG1cGhwcHPCf//wHUVFRCA8Pl/V8pqeno0+fPoq9nOnp6Vi3bh26desGFxcXtGrVCp9+\n",
"+ilWrVpl8Q9ngiA8l9cTAKmXWxTFp/Z5Utz2N6yPYU+rkoJDlImKi4EjkZVo3LgxBg8ejMGDB2Pg\n",
"wIHo2bMnWrdujXLlypX6sbKyskq9TEsY/ipr+KWjqLKzs4tcjr7Ho2D+orL03JXlcOIGDRrg9OnT\n",
"+PPPP/Hmm2/KzlF2dja2bNmCjh07olevXsXqgSzL8/+8MOxBKYrinDvg/86fKIqK58/S6660Plfs\n",
"7OyKvF/BHicXFxds2LABJ06cwAcffCD1mAP5rzciIgIffvghgoKCpOVL9J7mtfg83BIgCAL69u2L\n",
"yMhIjBgxQtqekJCAn3/+2Wj/7OxszJw5EzVq1MCAAQOwbds2ZGRkQBAE+Pv745NPPsHEiRMtPr6l\n",
"18nzdD2VluK+x4sjMzPzmR2LXm4MHImoSAq7n+1p/kJbGMNfVR8/flzscipVqgSgaK+lYE9PcT2L\n",
"3srSIAgCevbsie3btyMhIQErVqxAcHCwrBf0r7/+kk28Yin9+Qcs7z0srfP/ojMcal6U96H+/AmC\n",
"8FydP0vvRzSchMVc70rTpk2xcuVK3L9/H3/99Rf69+8vC96ioqKM7rkrzvl8Ea9FOzs7/Pjjj2jW\n",
"rJm0bdeuXbJ9njx5glatWuGrr75CcnIyBEFA8+bNMX/+fMTGxiIyMhLz5s1DcHDws66+xYp6PQmC\n",
"8Nz11hleU5Zek/qhrUQlxcCRiAplOGSmsB6kGzdulFmPo+FC0yW5z9BwptJLly5ZlMfwvjr9/WJ6\n",
"hsFUYefP0uOVFsO6FfeXdVdXVwwePBj//PMPrl27JhsWuGjRoiL/2q0//6IoFvn8C4JgdP6tib29\n",
"vTQELiMjw6L7s7KysqSeNpVKVayZcJ8W/f2aSpKSkqRhlU5OToX25Gk0GnTv3h3r1q3D3bt3MWnS\n",
"JOl9cOrUKezfv1/a1/BaKo3PgueZIAiyBe8L3uv6xRdf4PTp0wDyJ275999/cezYMYwaNQre3t7S\n",
"fqU1EdfTYMn1VHAWU3MzuZYVjUYjXVdarRbXr18vNI++3YhKioEjERXKcAY9/ayl5uzYseNpV8es\n",
"evXqSV8aY2Jiir0Exeuvvy493rZtW6H7P3z4UJrNUaVSoWXLlrJ0S8/fw4cPpdnynhXDCRhK0kur\n",
"V6tWLYSHh0v3JGVnZ8smLbJEUc//pUuXpCn4XV1djSb8sDb68yeKokXnb8+ePdL9fYGBgU9l+Hpx\n",
"Kc1Kqmc4C6+lE9joOTs7Y9KkSbKZKc+fPy89NrwWd+/eLZt4xxzDc/7aa68VqT6lKS4uDocPH8bh\n",
"w4eNhuCaY9jbbzhcUxRF/Prrr9LzX375Ba1atTJZxtmzZ4tZ46fv+PHjhc6SevbsWanHsWbNmoXO\n",
"6lsW9DOGi6KIrVu3Ku6bmJiIffv2PYtqkRVg4EhEhTL8xfXSpUtm//BqtVrZmobPmlqtRufOnaXn\n",
"ha25tnbtWowfPx5ffvkl4uLipO09e/aU7lPasmVLob2Xc+bMke5leuONN2T3UAHyZTGUluqYN2/e\n",
"U7ufxhzDKe8L+zU+ISEBO3fuxM6dOxV/5Var1bKJHwxnR7RE3759pcc///xzoctrzJgxQ3ps2Ntp\n",
"rQzP39y5c6HVas3uq9Pp8O2330rP+/Tp81TrVlSXLl0qdIbPn376SXr81ltvSY+zs7Ol67XgMh0F\n",
"Ga49aHi91q9fX5qR8t69e/jll18Uy9m9e7f0Hnd1dZUtFfKs/fnnn2jTpg3atGmDcePGWZTH8LOu\n",
"Zs2a0uMHDx4gPT0dQH7PpOEyJ4aysrJk5+h5u7cuOTkZv//+u+I+ixcvlh4bXk/PE8O1hefNm6e4\n",
"XuYXX3zxzNYWppcfA0ciKlRQUJAUSKWmpmL9+vUm9xs1apTFv2w/LR9//LH0+KeffjLb46LVajFh\n",
"wgTMmjULs2bNkk1oUa1aNQwaNAhA/vDNvn37mr33cPv27dIC9IIgmPyCZnjf0NKlS02Ws2/fPnz3\n",
"3XeFvLrSZzg9/ebNmxX3vXDhArp06YIuXbpg7NixZvfbtGkTLl68CCB/5sCi9gC++uqr6NSpE4D8\n",
"+8X69+9vdvjzsmXL8NtvvwHIn5Tk008/LdKxXka9e/eGv78/gPyh40OGDDE70+SECRNw9OhRAPm9\n",
"b//5z3+eWT0tNXToULP3ci1ZskSawdfR0REffPCBlJaXl4euXbuiS5cu6Nq1q9kA+saNG1izZg2A\n",
"/PewYS8jkH+O9D777DOzP/7ExsZKnxtA/mdRWU6Ao1+GBACOHj1a6C0EDx8+xLp166Tnhj/CGb4O\n",
"URSl97ehvLw8fPjhh1LvP1A6oxhK22effWZ2yZnt27dj5cqVAPJHjwwbNuxZVs1iwcHBaNu2LQDg\n",
"7t276NOnj9H9mzqdDhMmTMCqVatky/IUNhs3kRKrDhwTExNx4MABbN68GVu2bMGRI0csvtH4wYMH\n",
"2Lt3L7Zs2YKTJ08W6decO3fuYNeuXdi6dSvOnTtXpMWzo6OjsX37dvzv//4vLl++bHE+opLQaDSy\n",
"oVwff/wx1q1bJw3bunz5MkJCQvDzzz+jUaNGsl6sZ61Dhw5Sr4lOp0NoaCimT5+Ohw8fAvi/dRZ7\n",
"9+4tfXno2rWrUZ3nzJkj9TRERkaiWbNm2Lp1q/Sak5OTMW3aNPTs2VPaNnToULRv396oToYTbuzf\n",
"vx+DBg1CUlISgPxA/Pvvv0fXrl2hUqlM5n+aOnbsKA1PO3nyJD755BPpHqXHjx9j06ZN0n1y7dq1\n",
"k87T9u3b8eGHH+LGjRtSWbGxsRgzZoxsQflx48YV64vKypUrpeGu+/fvR6tWrXDgwAEpAIqPj8fY\n",
"sWNlgc4333xj0ZpmLzuVSoXff/9dGnK6bt06dO7cWXafU3R0NN577z2pt1EQBPz000/PfFheYddG\n",
"nz59cPnyZbRq1Qp79uyR2j8hIQFffPGF7IeiadOmyZbhcXBwkO7Ze/jwITp27IijR4/K3sMLFixA\n",
"y5YtpQDn7bffNloftV+/fnj//fcB5E+uEhwcjB9//FH6op6dnY3169ejZcuWuHfvHoD8dSwNA86y\n",
"0KZNG/j6+gLI/87y7rvvypYXMZSYmIiQkBDpBzIPDw9ZEO7k5CRbczE0NFQ2jDgiIgIdOnTA+vXr\n",
"ZWsG6j/nnhc9evRAcnIyWrVqhY0bN0rf3VJSUvDdd9+hd+/e0jU2cuRI1K9fvyyrq2jVqlXSZ/eu\n",
"XbtQp06c7E6aAAAgAElEQVQdjB07FosWLcLUqVMRFBSEGTNmoEGDBhg1apSUz/BHUqKiKv589S8w\n",
"nU6HX375BXv27DFKs7GxQVhYGHr06GEyb25uLtasWWM025izszOGDx+uuKBrRkYGli5dioiICNl2\n",
"Dw8PjB49WvqANyU5ORkLFy40Wtja19cXo0ePLnSNI6KSmjFjBg4cOID79+8jPT0dAwYMwNChQ2Fn\n",
"Zyd96apduzb+/vtv6b4epfW0ClOSvMuXL8fdu3elX9knTpyIiRMnwtXVFWlpabIp8mvWrIklS5YY\n",
"lVGuXDns3r0bnTt3RmRkJG7cuIEePXpArVajYsWKUiCq169fP7PDdDt37oywsDD88ccfAIDVq1fj\n",
"119/haurK5KTk6HT6WBra4uVK1fi+vXrFt2PUpLzY0ij0WDBggV49913AQALFy7E4sWLUalSJSQl\n",
"JUEURRw4cAA1atSAnZ0dVq9ejZCQEGRlZWHlypVYuXIl7O3tYWNjIw1l0+vVq5diz6SSqlWrYu/e\n",
"vejcuTPu3r2LM2fOoH379tBoNHB0dJT1AAuCgE8//RRffPFF8U/EU1DcNiqNtq1fvz62bduGkJAQ\n",
"PH78GHv37sXevXvh6OgIW1tbWU+QSqXCDz/8IBvi+rTqVdQy3377bfj5+WH69Ono3LkzNBoNypUr\n",
"ZxQADR8+HGPGjDHK/+OPP+LMmTO4c+cOjhw5gtatW8PGxgZOTk5GowheeeUVs0NRly9fDq1Wiz/+\n",
"+ANPnjzB6NGjMWbMGLi6uiIlJUV272ODBg2wffv2Uv2CXpxzb2NjgxUrVuCtt95CVlYWNm3ahJ07\n",
"d6JLly5o1KgRXFxckJmZifPnz2PTpk3ScEe1Wo21a9ca9ZbOnDkTnTt3hk6nw+3bt9G2bVuUK1cO\n",
"oigiIyMDKpUKEyZMQL9+/aSAKyoqCqIomvyB4GlcT4UJCgpCly5dMHToUISFhUmf58nJybL6hISE\n",
"4Pvvv1csq6z+vunVqFED+/btQ7du3XD79m0kJCRg/vz5sn0CAgKwY8cO7Ny5U9pW1FsHiAxZZY/j\n",
"xo0bsWfPHri4uGDAgAH46quv8Nlnn6Fjx47Q6XQIDw83ORRFp9Nh3rx52LVrF3x8fDBy5Eh89dVX\n",
"6NmzJzIyMvDdd9+ZHcKiX/soIiIC9erVw9ixY/Hll1+ic+fOuH//PqZMmSKbxctQamoqpkyZgsjI\n",
"SDRv3hyff/45Pv/8c7Ru3RoxMTGYNGkSEhMTS/Uc0ctBEATpX0nVrFkTR44cQYcOHaRtmZmZePz4\n",
"MdRqNd59912cOnUKnp6eisfVb1OqU0nr7OTkhL1792LixImoUKGCVFZycrIUNGo0GgwaNAgnTpww\n",
"O2uep6cnjh07hnHjxsHR0RGCICA3N1cKGgVBQLVq1bB8+XKsX79ecZ23tWvXYsKECdJkNDqdTgrM\n",
"AgICsH//flnPZGmcH0vONQD0798fixYtktUtMTHR5Be+Tp064dChQ2jZsqWUptVqZUFjxYoVMXny\n",
"ZGzYsKFE7RgQEIAzZ87go48+gq2tLQRBQFZWlmzpiDp16mDTpk3ScGFzLD0XpaW413Bptm2bNm1w\n",
"5swZ9O7dGypV/p/7jIwMKWgUBAGvvvoq9u/fj08++aTE9SrKOS7KvlOnTsX8+fPh6uqKrKwsWdDo\n",
"5uaGZcuWYdGiRSbzenl54fjx4+jXrx/UajUEQUBeXp4saFSr1XjnnXcQEREh67E0ZGtri/DwcCxb\n",
"tkz6jBNFEQ8fPpSCxnLlyuGLL77A0aNHzX6mFOc6LMnnYbt27bBr1y7pfsWMjAxs3LgRX331FUaM\n",
"GIH//ve/WLNmjRQ0Vq5cGTt27DA58kHfo2i4HER6ejoyMzNRq1Yt/P3331Kvv4ODAwRBQGZmptH9\n",
"0EX9u1Ta19NHH32E8PBwVKtWDXl5eXj48KEUyJUvXx7Tp0/Hxo0bFT/Pn8XfN0vKatCgASIjIzF9\n",
"+nQ0atQIFSpUgIuLC5o2bYo5c+bgxIkT8PT0lN1rajhZG1FRCWJZ/ORTxv7zn//g0aNHmDZtGl55\n",
"5RVZ2ooVK7Bnzx4EBQXhyy+/lKXt3LkTK1euhI+PD6ZOnSqbcezChQuYPn06ypcvj3nz5hm9Mdes\n",
"WYNt27YhKCgI48ePl30Q7Nu3D0uXLoWHhwfmzJlj9GGlf/N36NABQ4cOlaX99ttv2Lx5MwICAjBp\n",
"0qQSnRe9nJwcbN68WTZBCL28itPeUVFROHToEFJSUuDp6Yl27drJpmN/nmRnZ+Pw4cO4fv06Hj16\n",
"BAcHB/j6+qJ169ZFWmNNq9XiwIEDiImJQWpqKtzc3BAYGCi7f9ESKSkp2LNnD27evIkKFSogMDDQ\n",
"7OyET4NSez969Ah79+6VhqZWqVIFTZo0kQ09M3Tjxg0cP34c9+7dQ3Z2NipWrAh/f3+0aNGi1O/t\n",
"evLkCfbt24fbt28jIyMDlStXRpMmTWT3cZExfXu//vrrOHz4MO7evYucnBx4eHjgtddeQ61atcq6\n",
"ikYGDhwo3XO4atUqaZhoeno6du/ejdjYWKjVatSpUwft27dX/IJvKCkpCUeOHEFsbCzS09NRrlw5\n",
"+Pj4oFWrVmYDRlNEUcTx48dx8eJFPHz4EE5OTqhVqxbatWv3TBd1N8Xc+zs7Oxtbt27F1q1bcfbs\n",
"WcTHxyMtLQ0ajQaVKlVCo0aN8Oabb+L9998vtEcqLS0NO3fuRExMDMqVKwd/f/9nPsS+KCZPnoxv\n",
"vvlGeqxfWzYnJwd79uxBdHQ08vLyUKtWLXTs2LFM70stKkv/fk+cOBHTp08HkH/v//N67yYpey6+\n",
"n4tW6MyZM+Lp06dFnU5nlHbq1CkxLCxMHDNmjGx7Tk6OOHjwYDEsLEy8ePGiyXLnz58vhoWFievW\n",
"rZNtf/TokdivXz+xb9++4r1790zmnTBhghgWFibu3r1btv3GjRtiWFiY+P7774vp6elG+XJzc8UR\n",
"I0aIYWFh4tmzZxVft6XS09PFPn36mDwevXzY3taF7W1dXsT2/uCDD0RBEERBEMTVq1eXdXVeKC9i\n",
"ez9tkyZNkq6nKVOmlHV1SpWl7d2rVy/pHOzZs+cZ1Y5K2/Pw/rbKoaqNGjVC48aNTXb/64dbGa5l\n",
"BADnzp1DWloa3N3dzd4srf/FreDU4ceOHYNOp4O/v7/ZexH1eQ8fPizbrn/evHlz2XprejY2NtLM\n",
"WgXzEhEREdHLpW/fvmjatClef/11aTIzc1JSUrB3714A+cOyC64zTFQUVhk4mpObmystXl5w6NiV\n",
"K1cAQDalcUF169aFra0tkpKSZDOJ6Wc/VcqrH24VHR0tm2VVn1dpOJY+raiLbBMRERHRi+fMmTM4\n",
"e/as2aVFgPz71YcOHSrNABwaGirNtkxUHAwc/7+kpCTMnj0bMTExaNu2LYKDg2Xp+nWJatSoYbYM\n",
"tVot3RBvuI6RJXkrVaoEBwcH5ObmIj4+HkD+fRT6RcmrV69uNq8+LTExUTZbJBERERG9XD799FPY\n",
"2NgAyO/YGDJkCA4ePIj4+HhkZ2fj/v372Lx5s7TsCAB4e3vjhx9+KMtq00vAKpfj0Fu7dq000cWd\n",
"O3fg5uaGYcOGmbzJW7++Y2E30Lu7u+P27duyoQP6GeyKmler1UqBoFJeR0dH2NvbQ6vVSpN2EBER\n",
"EdHLp3nz5ggPD8egQYOQlpaG8PBwhIeHm92/Zs2a+Pvvv7l0G5WYVfc43rx5E5GRkVKPYHJyMo4f\n",
"Py5b0FpPq9UCKHz9G3264dTH+seW5tUfy7CM4hyXiIjoRfOsl06hl9vLej2Fhobi+PHjqF69Ouzt\n",
"7WWvT7/kR7Vq1TB+/HhcvHjR7OzYREVh1T2OEydOBJC/rlFsbCx27tyJ48eP48KFC/jss8/QpEkT\n",
"ozxiIauX6NMLvoGLkrdgvqIojQ9GQRDg6+v70n3IkmmCIMDV1ZXtbSXY3tblRWzvlStXYuXKlWVd\n",
"jRfSi9jeT9ukSZNKbbmy503NmjXx1ltvYebMmbh69Sri4uKQmZmJSpUqwdvbW3FuDXrx6L+flyWr\n",
"Dhz1HB0dERAQgICAAGm9xVWrViEoKEgaQ65f10ffG2iOPt1wHSAHBwekpaUVOa9hGVqt1uSsqgXz\n",
"FtYzCeSvA5OTk2MyTRAEODg44Ntvvy20HHo5ODg4YMmSJWVdDXpG2N7Whe1tXdje1sWwvVu0aFHG\n",
"taGnTf/9XH/7nDm2trZPbZ1HBo4F9OvXDwcPHsSDBw9w+fJlaekNZ2dnAJDNlmqKPr1ixYrSNmdn\n",
"Z6SlpSEpKQk+Pj4W59VoNNBoNMjKykJiYqLZyXXS09Oh1WqhUqng5ORU6GvcvHmzdLN0Qb6+vgwa\n",
"iYiIiIieQ99++y1iYmLMpoeGhiIsLOypHJuBYwF2dnaoW7cuTp06hYSEBClwrF69Os6ePYvY2Fiz\n",
"eXNycqQZUQ1nQfX29kZcXBxiY2PRtGlTk3kTExORmZkJOzs7aWZWQRDg7e2N6Oho3Lp1y2zgeOvW\n",
"LQBA5cqVYWdnV+hr7NmzJ7p27WoyzXB4S1JSEvLy8gotj15sgiCgcuXKePDgQaHDqenFx/a2Lmxv\n",
"68L2ti5sb+uhUqng7u4OIH/4tVJ7P63eRoCBo0n6xlCp/m/uoICAAGzZsgUXL16EKIom7x+IjIxE\n",
"bm4uqlSpAhcXF1neY8eO4fz58wgNDTV5zHPnzgEA/Pz8ZGUHBAQgOjoa586dQ5s2bRTz+vv7W/T6\n",
"LO3CzsvLY+BoBfTXW15eHv/wWAG2t3Vhe1sXtrd1YXtbD8P2NbyV7VmzullVc3JycPr0aZw9e9Zk\n",
"uiiK0iyrhr2GgYGBcHJywsOHD3H69GmTeXfv3g0AaNWqlWx7y5YtoVarce3aNal3sOAx9+7dazJv\n",
"69atAQAnTpyQLfGhl52djYMHD8r2JSIiIiIiKk1WFzjqdDp8//33+Pbbb6VhpYb279+PBw8eoGrV\n",
"qqhdu7a0XaVSoU+fPgCA9evXG010c/LkSZw+fRrly5c3GgZaoUIFdOnSBQCwatUqo168HTt2IDY2\n",
"Fp6enmjbtq0srUaNGmjZsiVycnKwZs0ao/qGh4cjJSUF9erVk4bVEhERERERlSabyZMnTy7rSjxL\n",
"arUaCQkJuH37No4fP468vDxkZGTg/v372LlzJ/744w+oVCqMHTtWGkus5+vri1u3buHKlSs4c+YM\n",
"7O3t8ejRI+zbtw+//vorBEHAmDFjTN6LWLduXURGRuLKlSuIjIyEvb09EhMTsW3bNmzatAn29vYY\n",
"N24cKlWqZJQ3ICAAJ0+eRFRUFG7evAmNRoP4+Hj8/vvv2L9/P1xcXDBu3DiUK1euVM9Veno6hz5Y\n",
"AUEQUKFCBaSlpZV1VegZYHtbF7a3dWF7Wxe2t/UQBAHly5cv62pAEK0wMtBqtViwYIHJIafu7u4Y\n",
"NmyY2bVvcnNzsWbNGuzatUu23dnZGcOHD0dQUJDZ42ZkZGDp0qWIiIiQbffw8MDo0aMV12ZJTk7G\n",
"woULERkZKdteq1YtfPLJJ/Dw8DCbt7ju37/PexytgCAIqFq1Ku7du8cfCqwA29u6sL2tC9vburC9\n",
"rYdKpXoq3/WLyioDR724uDhcuXIFT548gUajQfXq1REQECCbFMecxMREnD9/HhkZGfDw8EDjxo2h\n",
"Vls211BcXByioqKQlZUFb29vNGzY0OLFeqOjo3H9+nXodDr4+vpaPCFOcTBwtA78w2Nd2N7Whe1t\n",
"Xdje1oXtbT2el8DRqmdV9fLygpeXV7Hyuru744033njmx61du7bs3ksiIiIiIqKnzeomxyEiIiIi\n",
"IqKiYeBIREREREREihg4EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIREREREREihg4EhER\n",
"ERERkSIGjkRERERERKSIgSMREREREREpYuBIREREREREihg4EhERERERkSIGjkRERERERKSIgSMR\n",
"EREREREpYuBIREREREREihg4EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIREREREREihg4\n",
"EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIREREREREihg4EhERERERkSIGjkRERERERKSI\n",
"gSMREREREREpYuBIREREREREihg4EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIRERERERE\n",
"ihg4EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIREREREREihg4EhERERERkSIGjkRERERE\n",
"RKSIgSMREREREREpYuBIREREREREihg4EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIRERE\n",
"REREihg4EhERERERkSIGjkRERERERKSIgSMREREREREpYuBIREREREREihg4EhERERERkSJ1WVeA\n",
"iIiIiIiouFQqFVSq/P4wnU4HnU5XxjV6OTFwJCIiIiKiF45KpYJOZ4f0dAH79tkCANq3z4GDgwiV\n",
"KpsBZClj4EhERERERC8UlUoFQdBg/HhHhIfbITdXAACo1SL698/G7NkCVKosBo+liIEjERERERG9\n",
"UHQ6O4wf74hff9XItufmCtK2b78VAWjLoHYvJ06OQ0RERERELwyVSoXMTAHh4XZm9wkPt4NWK0j3\n",
"PlLJWXWPY1ZWFi5evIj4+Hjk5ubCyckJtWvXho+Pz1M97p07dxAVFYWsrCxUr14dgYGBFl/U0dHR\n",
"uHbtGnQ6HWrVqgV/f/+nWlciIiIioueJSqXCvn220vBUU3JzBfzzjy1CQnI4XLWUWG3geOLECSxd\n",
"uhRpaWlGaQEBARg7diycnJyM0j7++GMkJSWZLdfT0xNz5841mZaRkYGlS5ciIiJCtt3DwwOjR4+G\n",
"r6+v2XKTk5OxcOFCREZGyrb7+vpi9OjR8PDwMJuXiIiIiIioJKwycIyOjsbcuXOhUqnQvXt3qdfu\n",
"+vXr2LlzJ6KiorB48WKMHz/ebBkNGjQwud3Nzc3k9uzsbMycORPXrl1DvXr10KlTJ9jb2+PMmTPY\n",
"vXs3pkyZgkmTJpkMHlNTUzFlyhQkJCSgefPmaNOmDQDg2LFjOHz4MCZNmoRp06bB3d29qKeCiIiI\n",
"iOiFotPp0L59DtRq0Wyvo1otokMH9jaWJqsMHHfu3AmdTod+/fohJCRE2t64cWM0adIEEyZMwNmz\n",
"Z5GQkGC2J2/ChAlFOuZvv/2Ga9euISgoCOPHj4cg5F/kQUFB8PHxwdKlSzF//nzMmTMHarW8WZYv\n",
"X46EhAR06NABQ4cOlbY3bdoU7u7u2Lx5MxYvXoxJkyYVqU5ERERERC8anU4HB4f82VMLTo6j179/\n",
"NjQakYFjKbLKu0VDQkLwzTffoGPHjkZptWvXRrVq1QAAsbGxpXK8lJQU7NixA4IgYNCgQVLQqNe+\n",
"fXv4+fkhISEB+/fvl6XFxMTgxIkTsLe3x3vvvWdUdp8+feDm5oaoqCicO3euVOpLRERERPQ8U6my\n",
"MXt2BgYMyIJaLUrb1WoRAwZkYfbsDNjYZJdhDV8+Vhk4ent7o06dOnB0dDSZnpubCwCwtbUtleMd\n",
"O3YMOp0O/v7+Znsw27dvDwA4fPiwbLv+efPmzU3W18bGBm3btjWZl4iIiIjoZaTT6SCKWfj223Rc\n",
"vZqCZcvSsGxZGq5eTcG336ZDFLmGY2mzysBRSUxMDBISEiAIAqpXr14qZV6+fBmA+fsiASAwMBBA\n",
"/v2Xhhe5Pq8+XSnv1atXS1xXIiIiIqIXQf53Zi0cHbMQEpKBkJAMODpmAdAyaHwKGDgaSElJwfz5\n",
"8wEADRs2LLXJZu7cuQMAqFGjhtl9KlWqBAcHB+Tm5iI+Ph4AIIoi4uLiAEAxiNWnJSYmIjubXfJE\n",
"REREZD10Oh1yc3ORm5vLgPEpssrJcUx58OABpk+fjoSEBLi7u2PYsGGK+/ft2xf29vZwdnaGr68v\n",
"XnvtNbz66qsm9338+DEA8zOu6rm7u+P27dtITU0FAGi1WikQVMrr6OgIe3t7aLVapKamFnocIiIi\n",
"IiKiomDgCODatWuYPXs2UlNTUaNGDYwfPx6urq4m961bty4eP36M7OxsPHnyBPfv30dCQgKOHj2K\n",
"+vXr4/PPP4e9vb0sT2ZmJgAYbS9In67VamX5LM2r1WpleYiIiIiIiEqD1QeO+/btw4oVK5CXl4cW\n",
"LVpgxIgR0GhMT+sLAKNGjZI912q1OHbsGNauXYtLly5h+fLlRvvoZ1EVRRFKCqYXnH3VEsXJQ0RE\n",
"REREpMSqA8e//voL4eHhEAQB/fv3R48ePYpchr29PYKDg+Hu7o6pU6fi8OHD6N+/v2y4qIODA9LS\n",
"0qSeRHP06Q4ODrL/9WnmZoE1zFtYzyQA5OTkICcnx2SaIAjScQVBYCBqBfRtzLa2Dmxv68L2ti5s\n",
"b+vC9rYehm2cmZmp2Blla2tbaitDFGS1gWNERATCw8OhVqsxevRoNGvWrETl1a9fHz4+PoiNjcWV\n",
"K1fQunVrKc3Z2RlpaWlISkqCj4+P2TKSkpIAABUrVgQAaDQaaDQaZGVlITEx0ezkOunp6dBqtVCp\n",
"VHByciq0rps3b8bGjRtNprm6umLJkiUAgMqVKxdaFr08zC0VQy8ntrd1YXtbF7a3dWF7W5exY8ci\n",
"OTnZbHpoaCjCwsKeyrGtMnDUarX4+eefAQBDhgwpcdCoV7VqVcTGxiItLU223dvbG3FxcYiNjUXT\n",
"pk1N5k1MTERmZibs7OxQtWpVAPm/Lnh7eyM6Ohq3bt0yGzjeunULQH6gZ2dnV2g9e/bsia5du5pM\n",
"M/xF48GDB8jLyyu0PHqxCYIADw8PJCQkFDqcml58bG/rwva2Lmxv68L2th4qlQpVqlQBAMydO7fQ\n",
"HsenxSoDxz179iA1NRXNmjVDu3btSq3crKwsADAaUhoQEIBjx47h/PnzCA0NNZn33LlzAAA/Pz9Z\n",
"8BYQEIDo6GicO3cObdq0Uczr7+9vUT0t7cIWRZEfRFaE7W1d2N7Whe1tXdje1oXt/fIzbF/DW9me\n",
"Natcx/Gff/4BgCLf03jnzh1pTcaCsrOzcfXqVQCAr6+vLK1ly5ZQq9W4du2a1DtoSBRF7N27FwDQ\n",
"qlUrWZp+yOuJEyekZToKHvfgwYOyfYmIiIiIiEqT1QWOGRkZuHfvHmxsbMwO/TRn2rRp+Oyzz3Dt\n",
"2jWjtE2bNiE9PR2+vr7w8vKSpVWoUAFdunQBAKxatcpo+OeOHTsQGxsLT09PtG3bVpZWo0YNtGzZ\n",
"Ejk5OVizZo3RccPDw5GSkoJ69eqhfv36RXo9RERERERElrC6oarp6ekA8nv5Zs6cqbhvjRo18P77\n",
"70vP3377baxbtw7ffvst3nrrLdSuXRt5eXk4evQojhw5ApVKhYEDB5osq0+fPrhy5QqioqLwzTff\n",
"4M0334RGo8GZM2ewZ88e2NvbY9SoUbCxsTHKO3jwYNy8eROHDh1CRkYG2rdvDwA4dOgQIiIi4OLi\n",
"guHDhxfzjBARERERESmzusBRP0ZYp9Ph0qVLivvqdDrZ8+7du0Or1eKvv/4ympW0YsWKGDp0KOrU\n",
"qWOyLDs7O3z55ZdYunQpIiIicOXKFSnNw8MDo0ePNhriqufk5IRJkyZh4cKFOH36NE6fPi2l1apV\n",
"C5988gnc3d0VXwsREREREVFxCSLvpi2yx48f4+LFi0hKSoKNjQ2qVq2KwMBAi2Y0BYC4uDhERUUh\n",
"KysL3t7eaNiwocVr8ERHR+P69evQ6XTw9fW1eEKc4rh//z5nVbUCgiCgatWquHfvHm+utwJsb+vC\n",
"9rYubG/rwva2HiqV6rlYdsXqehxLQ8WKFUs0EY2Xl5fRfZCWql27NmrXrl3sYxMRERERERWV1U2O\n",
"Q0REREREREXDwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgU\n",
"MXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiI\n",
"SBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiI\n",
"iIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiI\n",
"iIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGI\n",
"iIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwc\n",
"iYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLE\n",
"wJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIi\n",
"RQwciYiIiIiISBEDRyIiIiIiIlLEwJGIiIiIiIgUMXAkIiIiIiIiRQwciYiIiIiISJG6rCtQlrKy\n",
"snDx4kXEx8cjNzcXTk5OqF27Nnx8fArN++DBA1y4cAHp6enw9PREo0aNoFZbdjrv3LmDqKgoZGVl\n",
"oXr16ggMDIRKZVkMHx0djWvXrkGn06FWrVrw9/e3KB8REREREVFxWW3geOLECSxduhRpaWlGaQEB\n",
"ARg7diycnJyM0nJzc7FmzRrs2rVLtt3Z2RnDhw9HUFCQ2WNmZGRg6dKliIiIkG338PDA6NGj4evr\n",
"azZvcnIyFi5ciMjISNl2X19fjB49Gh4eHmbzEhERERERlYTN5MmTJ5d1JZ616OhozJgxA3l5eeja\n",
"tSt69OiB1q1bo0qVKrh16xbi4+MRFxeH1q1by/LpdDrMnTsX//77L3x8fPDee++hY8eOcHNzQ1RU\n",
"FA4dOgRfX19UrVrV6JjZ2dmYPn06zp8/j3r16uG9995DcHAwypUrhwsXLuDw4cNo2LAhXFxcjPKm\n",
"pk05HJAAACAASURBVKZi0qRJuHnzJpo3b4533nkHrVq1gkqlwvnz5xEREYEWLVqgXLlypXqe0tPT\n",
"IYpiqZZJzx9BEFChQgWTP6LQy4ftbV3Y3taF7W1d2N7WQxAElC9fvqyrYZ09jjt37oROp0O/fv0Q\n",
"EhIibW/cuDGaNGmCCRMm4OzZs0hISJD15O3evRsnT56Ej48Ppk6dCjs7OwBAYGAgAgICMH36dCxa\n",
"tAjz5s1DhQoVZMf87bffcO3aNQQFBWH8+PEQBAEAEBQUBB8fHyxduhTz58/HnDlzjIa8Ll++HAkJ\n",
"CejQoQOGDh0qbW/atCnc3d2xefNmLF68GJMmTSr1c0VERERERGSVk+OEhITgm2++QceOHY3Sateu\n",
"jWrVqgEAYmNjpe25ubnYsGEDAGDAgAFS0KgXGBiIVq1aIS0tDX///bcsLSUlBTt27IAgCBg0aJAU\n",
"NOq1b98efn5+SEhIwP79+2VpMTExOHHiBOzt7fHee+8Z1bdPnz5Sj+e5c+csPwlEREREREQWssrA\n",
"0dvbG3Xq1IGjo6PJ9NzcXACAra2ttO3cuXNIS0uDu7s76tevbzJf+/btAQBHjhyRbT927Bh0Oh38\n",
"/f3N3ouoz3v48GHZdv3z5s2bm6yvjY0N2rZtazIvERERERFRabDKwFFJTEwMEhISIAgCqlevLm2/\n",
"cuUKAKBBgwZm89atWxe2trZISkpCUlKStP3y5cuF5g0MDASQf/+lTqczyqtPV8p79epVs/sQERER\n",
"EREVFwNHAykpKZg/fz4AoGHDhnB3d5fS7ty5AwCoUaOG2fxqtVqaGEe/v6V5K1WqBAcHB+Tm5iI+\n",
"Ph4AIIoi4uLiAEAWxBakT0tMTER2drb5F0hERERERFQMDBz/vwcPHmDSpElISEiAu7s7hg0bJktP\n",
"SUkBALi5uSmWow82U1NTpW2PHz8uVl6tVisFgkp5HR0dYW9vD1EUZcclIiIiIiIqDVY5q2pB165d\n",
"w+zZs5GamooaNWpg/PjxcHV1le2j1WoBAPb29opl6dMzMzOlbfrHlubVH8uwDEvyarVaWR4iIiIi\n",
"IqLSYPWB4759+7BixQrk5eWhRYsWGDFiBDQajdn9C1vXUJ9uOHOq/rGleQvmK4ri5CEiIiIiIlJi\n",
"1YHjX3/9hfDwcAiCgP79+6NHjx5m93VwcADwf72B5ujT9fvrH6elpRU5r2EZWq3W7CywhnkL65kE\n",
"gJycHOTk5JhMEwRBOq4gCAxErYC+jdnW1oHtbV3Y3taF7W1d2N7Ww7CNMzMzFTujbG1tZStDlCar\n",
"DRwjIiIQHh4OtVqN0aNHo1mzZor7Ozs7A4BstlRT9OkVK1aU5U1LS0NSUhJ8fHwszqvRaKDRaJCV\n",
"lYXExESzk+ukp6dDq9VCpVLByclJsX4AsHnzZmzcuNFkmqurK5YsWQIAqFy5cqFl0cvD3FIx9HJi\n",
"e1sXtrd1YXtbF7a3dRk7diySk5PNpoeGhiIsLOypHNsqA0etVouff/4ZADBkyJBCg0Ygf+bSs2fP\n",
"IjY21uw+OTk50oyohrOgent7Iy4uDrGxsWjatKnJvImJicjMzISdnZ00M6sgCPD29kZ0dDRu3bpl\n",
"NnC8desWgPxAz87OrtDX0rNnT3Tt2tVkmuEvGg8ePEBeXl6h5dGLTRAEeHh4ICEhodDh1PTiY3tb\n",
"F7a3dWF7Wxe2t/VQqVSoUqUKAGDu3LmF9jg+LVYZOO7Zswepqalo1qwZ2rVrZ1GegIAAbNmyBRcv\n",
"XoQoiiaHBURGRiI3NxdVqlSBi4uLLO+xY8dw/vx5hIaGmiz/3LlzAAA/Pz9Z2QEBAYiOjsa5c+fQ\n",
"pk0bxbz+/v4WvRZLu7BFUeQHkRVhe1sXtrd1YXtbF7a3dWF7v/wM29fwVrZnzSqX4/jnn38AQPGe\n",
"xoICAwPh5OSEh/+PvXuPj6o88D/+PWcumQQIAQkEys3ID7kZEWgVL6ABb2hLeQlaV+mq/f3cRUTU\n",
"lYpaF7FeELHqVqzo1lJapV1d8VKXF8hFgQoLGwQvESKVIAiBIAtpMplkJuf8/hhnTMjMyeQyZGA+\n",
"79fLl3DOeWaec55JON95nvM833yjoqKimMesXLlSknTBBRc02D569Gi53W6VlJREewfrs21bq1at\n",
"iln2wgsvlCRt3rw55lIbtbW1+uCDDxocCwAAAABtKe2Co9/v14EDB+RyueIO/YzFNE1NmTJFkvTq\n",
"q682muhmy5YtKioqUseOHRsNA+3UqZMmTJggSVq8eHGj4Z/Lly9XaWmpevXqpbFjxzbY169fP40e\n",
"PVrBYFBLlixpVK+lS5fq6NGjGjp0qIYNG5bw+QAAAABAotJuqGpVVZWkcC/f448/7nhsv3799NOf\n",
"/jT690svvVQff/yxtmzZogcffFA//OEPlZ2dreLiYr377rtyuVyaPn26OnTo0Oi1pkyZoh07dqi4\n",
"uFgPP/ywrrjiCmVkZGjr1q1677335PP5NGPGDLlcrkZlb7nlFu3evVvr16+X3+9XYWGhJGn9+vXa\n",
"tGmTunTpomnTprXmsgAAAABAXGkXHCNjhC3L0qeffup4rGVZDf5uGIbuvPNOLVmyRCtWrNDChQuj\n",
"+3JycjRt2jQNHz485mt5vV7dd999WrRokTZt2qQdO3ZE9+Xl5WnmzJnKz8+PWTY7O1tz5szRc889\n",
"p6KiogZDZc844wzdcccdys3NdT5xAAAAAGghw+Zp2hYpLy/X9u3b5ff7lZeXpxEjRsjtTiyH79u3\n",
"T8XFxaqpqVGfPn109tlnJ7wGz65du/TFF1/Isizl5+cnPCFOSxw8eJBZVdOAYRjq2bOnDhw4wMP1\n",
"aYD2Ti+0d3qhvdML7Z0+TNNMiWVX0q7Hsa3k5uZq/PjxLSrbu3dv9e7du0VlBwwYoAEDBrSoLAAA\n",
"AAC0RNpNjgMAAAAAaB6CIwAAAADAEcERAAAAAOCI4AgAAAAAcERwBAAAAAA4IjgCAAAAABwRHAEA\n",
"AAAAjgiOAAAAAABHBEcAAAAAgCOCIwAAAADAEcERAAAAAOCI4AgAAAAAcERwBAAAAAA4IjgCAAAA\n",
"ABwRHAEAAAAAjgiOAAAAAABHBEcAAAAAgCOCIwAAAADAEcERAAAAAOCI4AgAAAAAcERwBAAAAAA4\n",
"IjgCAAAAABwRHAEAAAAAjgiOAAAAAABHBEcAAAAAgCOCIwAAAADAEcERAAAAAOCI4AgAAAAAcERw\n",
"BAAAAAA4IjgCAAAAABwRHAEAAAAAjgiOAAAAAABHBEcAAAAAgCOCIwAAAADAEcERAAAAAOCI4AgA\n",
"AAAAcERwBAAAAAA4IjgCAAAAABwRHAEAAAAAjgiOAAAAAABHBEcAAAAAgCOCIwAAAADAEcERAAAA\n",
"AOCI4AgAAAAAcERwBAAAAAA4IjgCAAAAABwRHAEAAAAAjgiOAAAAAABHBEcAAAAAgCOCIwAAAADA\n",
"EcERAAAAAOCI4AgAAAAAcERwBAAAAAA4crd3BdLN3r17VVxcrJqaGvXt21cFBQUyzcTy+65du1RS\n",
"UiLLsnTGGWdo8ODBSa4tAAAAAKRxcKytrdXKlSv19ttv69ixYxo7dqxuu+02xzLTp0/X4cOH4+7v\n",
"1auXnn766Zj7/H6/Fi1apE2bNjXYnpeXp5kzZyo/Pz/u6x45ckTPPfecPvvsswbb8/PzNXPmTOXl\n",
"5TnWGwAAAABaIy2D45o1a7R06VJVVFS0qPxZZ50Vc3u3bt1ibq+trdXjjz+ukpISDR06VJdddpl8\n",
"Pp+2bt2qlStXau7cuZozZ07M8FhRUaG5c+eqrKxM5557rsaMGSNJ2rhxozZs2KA5c+bokUceUW5u\n",
"bovOBQAAAACakpbBcd26daqoqFBBQYG6deumNWvWNKv8L37xi2Yd/6c//UklJSUaPny4Zs+eLcMw\n",
"JEnDhw9X//79tWjRIj377LN66qmn5HY3bJKXXnpJZWVlGjdunG699dbo9lGjRik3N1fLli3T888/\n",
"rzlz5jSrTgAAAACQqLScHOf888/XU089pQceeEBnnnlmUt/r6NGjWr58uQzD0M033xwNjRGFhYUa\n",
"OHCgysrKtHbt2gb7vvzyS23evFk+n0833nhjo9eeMmWKunXrpuLiYm3bti2p5wEAAAAgfaVlcLzs\n",
"ssvUu3fvE/JeGzdulGVZGjx4cNxnEQsLCyVJGzZsaLA98vdzzz1XWVlZjcq5XC6NHTs2ZlkAAAAA\n",
"aCtpGRxPpM8//1xS/OciJamgoEBSeNZUy7IalY3sdyq7c+fOVtcVAAAAAGIhOCbZ3r17JUn9+vWL\n",
"e8xpp52mzMxMhUIh7d+/X5Jk27b27dsnSerbt2/cspF95eXlqq2tbatqAwAAAEBUWk6O01rXXXed\n",
"fD6fcnJylJ+fr/PPP1/f//73Yx577NgxSfFnXI3Izc3VV199FZ3pNRAIRIOgU9msrCz5fD4FAgFV\n",
"VFQ0+T4AAAAA0FwEx2YYNGiQjh07ptraWv3973/XwYMHVVZWpg8//FDDhg3TrFmz5PP5GpSprq6W\n",
"pEbbjxfZHwgEGpRLtGwgEGhQBgAAAADaCsGxGWbMmNHg74FAQBs3btQf//hHffrpp3rppZcaHROZ\n",
"RdW2bcfXPn7/8bOvJqIlZQAAAACgKQTHVvD5fLrkkkuUm5urX/7yl9qwYYOuv/76BsNFMzMzVVlZ\n",
"Ge1JjCeyPzMzs8H/I/tizap6fNmmeiYjgsGggsFgzH2GYUTf2zAMwmgaiLQxbZ0eaO/0QnunF9o7\n",
"vdDe6aN+G1dXVzt2SHk8Hnk8nqTUg+DYBoYNG6b+/furtLRUO3bs0IUXXhjdl5OTo8rKSh0+fFj9\n",
"+/eP+xqHDx+WJHXu3FmSlJGRoYyMDNXU1Ki8vDzu5DpVVVUKBAIyTVPZ2dkJ1XfZsmV6/fXXY+7r\n",
"2rWrXnjhBUlS9+7dE3o9nBriLReDUxPtnV5o7/RCe6cX2ju93HXXXTpy5Ejc/ZMnT9a1116blPdO\n",
"ieB4+PBhHTp0SF26dFHPnj3buzot0rNnT5WWlqqysrLB9j59+mjfvn0qLS3VqFGjYpYtLy9XdXW1\n",
"vF5v9PwNw1CfPn20a9cu7dmzJ25w3LNnj6RwyPN6vQnVddKkSbr66qtj7qv/jcahQ4dUV1eX0Gvi\n",
"5GUYhvLy8lRWVtbkkGqc/Gjv9EJ7pxfaO73Q3unDNE316NFDkvT000832eOYLEkJjq+99ppM09Q1\n",
"11yT0PFffvmlnnrqKQ0ePFgPPfRQMqqUdDU1NZLUaEjpkCFDtHHjRm3fvl2TJ0+OWXbbtm2SpIED\n",
"BzYIbkOGDNGuXbu0bds2jRkzxrHs4MGDE65rol3Ytm3ziyiN0N7phfZOL7R3eqG90wvtfeqr3771\n",
"H2c70ZKyjuPrr78edyhkLEOGDJGk6LqFqWjv3r3RNRmPV1tbq507d0qS8vPzG+wbPXq03G63SkpK\n",
"or2D9dm2rVWrVkmSLrjgggb7IkNeN2/eHF2m4/j3/eCDDxocCwAAAABtLSnBsbkiwyH9fn871yS+\n",
"Rx55RPfcc49KSkoa7XvjjTdUVVWl/Px89e7du8G+Tp06acKECZKkxYsXNxr6uXz5cpWWlqpXr14a\n",
"O3Zsg339+vXT6NGjFQwGtWTJkkbvu3TpUh09elRDhw7VsGHDWnuKAAAAABBTSjzjuH79eknhkJWq\n",
"rrrqKr3yyiuaN2+errzySg0YMEB1dXX68MMP9de//lWmaeqmm26KWXbKlCnasWOHiouL9fDDD+uK\n",
"K65QRkaGtm7dqvfee08+n08zZsyQy+VqVPaWW27R7t27tX79evn9fhUWFkoKX7NNmzapS5cumjZt\n",
"WjJPHQAAAECaa5PgWF5ervLy8kbbi4uL45apq6vT//7v/+qzzz7TunXrJElnn312W1QnKX70ox8p\n",
"EAjozTffbDQMt3Pnzrr11lt15plnxizr9Xp13333adGiRdq0aZN27NgR3ZeXl6eZM2c2GuIakZ2d\n",
"rTlz5ui5555TUVGRioqKovvOOOMM3XHHHcrNzW2DMwQAAACA2Ay7DZ6mfe2115r1TGMs3bp108MP\n",
"P6zTTjuttdVJqmPHjumTTz7R4cOH5XK51LNnTxUUFCQ8o+m+fftUXFysmpoa9enTR2effXbC6+/s\n",
"2rVLX3zxhSzLUn5+frMmxGmJgwcPMqtqGjAMQz179tSBAwd4uD4N0N7phfZOL7R3eqG904dpmimx\n",
"7Eqb9Di25sOanZ2tH/zgB7ruuusSXoewPXXu3LlVE9H07t270XOQiRowYIAGDBjQ4vcGAAAAgJZo\n",
"k+B49dVX6+KLL5ZhGLJtWzNmzJBpmvq3f/u3uKHSNE35fD517NixLaoAAAAAAEiSNgmOWVlZjdYv\n",
"lMSzdwAAAABwCkjKrKpjxoyJOUMoAAAAAODkk5TgOH369GS8LAAAAACgHZjtXQEAAAAAQGpLSo+j\n",
"JFmWpU2bNul//ud/tH//flVXVye0tMNzzz2XrCoBAAAAAFogKcExGAzq0Ucf1eeff56MlwcAAAAA\n",
"nEBJCY5vvfVWNDR6vV6dfvrpysnJkdfrdVzs3mkfAAAAAKB9JCU4bty4UZI0ePBg3XvvvcrMzEzG\n",
"2wAAAAAAToCkTI5TVlYmSbrpppsIjQAAAABwkktKcMzIyJAk9enTJxkvDwAAAAA4gZISHPv16ydJ\n",
"OnLkSDJeHgAAAABwAiUlOF522WWSpHfeeScZLw8AAAAAOIGSMjnO6NGj9cknn2jFihVyuVy64YYb\n",
"5HYnbclIAAAAAEASJSXNvf/++xo4cKB2796t//qv/9KGDRs0cuRI9enTRx06dHBcdmPs2LHJqBIA\n",
"AAAAoIWSEhx/85vfNPh7RUWF1q5dm1BZgiMAAAAApJakPOMIAAAAADh1JKXH8de//nUyXhYAAAAA\n",
"0A6SEhy7d++ejJcFAAAAALQDhqoCAAAAABwlpcfx8OHDLS7brVu3NqwJAAAAAKC1khIcp0+f3uKy\n",
"f/7zn9uwJgAAAACA1mKoKgAAAADAUVJ6HP/1X/817j7LslRZWanS0lJ9+OGHOnTokAYOHKjrrrtO\n",
"hmEkozoAAAAAgFZISnAcOnRok8eMHj1a1157rV577TUtW7ZMGzZs0D//8z8nozoAAAAAgFZo16Gq\n",
"LpdLP/nJT1RYWKi1a9dq8+bN7VkdAAAAAEAMKfGM48SJEyVJy5cvb+eaAAAAAACOlxLBMbIER2lp\n",
"aftWBAAAAADQSEoEx5KSEklSXV1dO9cEAAAAAHC8dg+OBw4c0KJFiyRJp59+ejvXBgAAAABwvKTM\n",
"qvr888877rdtWzU1NSorK9OePXui2y+99NJkVAcAAAAA0ApJCY4ffPBBs8uMHTtWF154YRJqAwAA\n",
"AABojaQEx8hkN05cLpeysrLUp08fnXfeeRo5cmQyqgIAAAAAaKWkBMeFCxcm42UBAAAAAO2g3SfH\n",
"AQAAAACktqT0OMZSVVWlb775RoFAQFlZWcrNzVVGRsaJensAAAAAQAslNTjW1dVp1apVWrVqlfbu\n",
"3SvbtqP7TNPUgAEDdOWVV+r8889PZjUAAAAAAK2QtOBYUVGh+fPn64svvoi537IslZSUqKSkROvW\n",
"rdNdd91FDyQAAAAApKCkBEfbtrVgwYJoaOzfv79Gjx6t733ve8rIyFB1dbX27NmjDRs26ODBg/ro\n",
"o4/0q1/9Svfdd18yqgMAAAAAaIWkBMcNGzZo586dkqQbbrhBP/rRjxodc+6552ry5Ml69dVX9c47\n",
"72jbtm3atGmTzjvvvGRUCQAAAADQQkmZVXXDhg2SpMsvvzxmaIy+uWnqxhtv1NixYyVJ77//fjKq\n",
"AwAAAABohaQExy+//FKSNGHChISO//GPf9ygHAAAAAAgdSQlOFZWVkqSevTokdDxeXl5ksJLdgAA\n",
"AAAAUktSgmOHDh0kSd98801Cx0eOy8rKSkZ1AAAAAACtkJTg2LdvX0nSmjVrEjp+xYoVkqT8/Pxk\n",
"VAcAAAAA0ApJCY6RmVHffPNNbdq0yfHYlStX6i9/+YskRSfJAQAAAACkjqQsx1FYWKjly5dr//79\n",
"evrpp/X9739f559/vnr37i2fzye/36/S0lKtW7dOn332mSTprLPO0vnnn5+M6gAAAAAAWiEpwdHt\n",
"duvee+/VI488ovLycm3ZskVbtmyJe/yQIUP0L//yL8moCgAAAACglZISHKXwTKlPPPGE3njjDa1Z\n",
"s0Z+v7/RMV27dtVVV12lK6+8Ui6XK1lVAQAAAAC0QtKCoxSeXXXq1Km64YYb9NVXX6m8vFyBQECZ\n",
"mZnq2bOnvve97yXz7QEAAAAAbaDNgqNlWSopKVG3bt3UrVu3BvtM01T//v3Vv3//Btv379+viooK\n",
"DRw4UKaZlHl6AAAAAACt1CbBcdu2bfr3f/93lZeXa+bMmY2CYzxFRUX64x//qLy8PE2bNk2DBg1q\n",
"i+oAAAAAANpQq4Pj1q1b9cQTT7SorG3bkqSysjI9+uijmjt37kmxluOhQ4f08ccfq6qqSr169dI5\n",
"55wjtzuxS7l3714VFxerpqZGffv2VUFBQcK9rbt27VJJSYksy9IZZ5yhwYMHt+Y0AAAAACAhrQqO\n",
"tm1r8eLFkqSRI0fqhhtuUK9evRIuf9VVV2no0KF6+eWXtWvXLv32t7/Vo48+2poqJay2tlYrV67U\n",
"22+/rWPHjmns2LG67bbbHMuEQiEtWbJEK1asaLA9JydH06ZN0/Dhw+OW9fv9WrRoUaN1LfPy8jRz\n",
"5kzHwHzkyBE999xz0aVLIvLz8zVz5kzl5eU51hsAAAAAWqNVwXH37t06ePCgOnbsqDvvvFNer7dZ\n",
"5V0ul8444wzde++9uu2227Rr1y59/fXXSZ80Z82aNVq6dKkqKioSLmNZlp555hlt2bJF/fv319VX\n",
"X63OnTuruLhY7777rp544gnNmjVLI0aMaFS2trZWjz/+uEpKSjR06FBddtll8vl82rp1q1auXKm5\n",
"c+dqzpw5McNjRUWF5s6dq7KyMp177rkaM2aMJGnjxo3asGGD5syZo0ceeUS5ubktvyAAAAAA4KBV\n",
"M9Ls3r1bknTOOec0OzTWl52drXPOOUeS9MUXX7SmSglZt26dKioqVFBQoMLCwoTKrFy5Mhoaf/nL\n",
"X+qiiy5SQUGBfvKTn2jWrFmyLEsLFy7U3//+90Zl//SnP6mkpETDhw/Xgw8+qPPOO0/Dhw/XLbfc\n",
"oltvvVWBQEDPPvusQqFQo7IvvfSSysrKNG7cON19990aNWqURo0apRkzZmjSpEk6evSonn/++VZf\n",
"EwAAAACIp1XBMRKSEp0Mx0mPHj0kqVm9gC11/vnn66mnntIDDzygM888s8njQ6GQXnvtNUnS1KlT\n",
"G4XkgoICXXDBBaqsrNQ777zTYN/Ro0e1fPlyGYahm2++WYZhNNhfWFiogQMHqqysTGvXrm2w78sv\n",
"v9TmzZvl8/l04403NqrXlClT1K1bNxUXF2vbtm0JnTsAAAAANFergqPL5ZIk1dXVtboikUB1Ipbl\n",
"uOyyy9S7d++Ej9+2bZsqKyuVm5urYcOGxTwm0nP517/+tcH2jRs3yrIsDR48OO6ziJGyGzZsaLA9\n",
"8vdzzz1XWVlZjcq5XC6NHTs2ZlkAAAAAaCutSmk5OTmSpK+//rrVFYm8RufOnVv9Wm1tx44dkqSz\n",
"zjor7jGDBg2Sx+PR4cOHdfjw4ej2zz//vMmyBQUFksKzplqW1ahsZL9T2Z07dzZ1GgAAAADQIq0K\n",
"jpFhnp9++mmrhpgeOXJE27dvb/CaqWTv3r2SpH79+sU9xu12q2fPng2OT7TsaaedpszMTIVCIe3f\n",
"v19SeMbaffv2SZL69u0bt2xkX3l5uWpraxM5HQAAAABollYFx+7du+v0009XTU2Nfvvb37boNerq\n",
"6vTCCy8oFAopPz9f3bt3b02VkuLo0aOSmn6WMzKzaf0QfezYsRaVDQQC0SDoVDYrK0s+n0+2bZ+Q\n",
"50MBAAAApJ9WP1D4D//wD5KkTZs2ad68eQ2GaTZl//79evjhh6O9jddff31rq5MUgUBAkuTz+RyP\n",
"i+yvrq6Obov8OdGykfeq/xoteV8AAAAAaCutWsdRCj9jN3HiRL311lv66KOPdMcdd2j48OEaNWqU\n",
"Tj/9dHXr1k1ZWVmybVt+v1/l5eXavXu3Nm/erI8//li2bUuSJk6c6PgsXyqI1LWp/fVnTo38OdGy\n",
"x5drjpaUAQAAAICmtDo4SuFeR9M0tWzZMtXV1amoqEhFRUUJlTUMQ5MmTdJ1113XFlVJiszMTEnf\n",
"9QbGE9kfOT7y58rKymaXrf8agUAg5qyqx5dtqmcyIhgMKhgMxtxnGEb0vQ3DIIymgUgb09bpgfZO\n",
"L7R3eqG90wvtnT7qt3F1dbVjh5TH45HH40lKPdokOErST37yEw0bNkxvvPGGPvvss4TKFBQU6Jpr\n",
"rtGgQYPaqhpJEZk9tqlhuJH99WeGzcnJUWVlpQ4fPqz+/fsnXDYjI0MZGRmqqalReXl53Ml1qqqq\n",
"FAgEZJqmsrOzEzqfZcuW6fXXX4+5r2vXrnrhhRckKSWfN0XyxFsuBqcm2ju90N7phfZOL7R3ernr\n",
"rrt05MiRuPsnT56sa6+9Ninv3WbBUZKGDRumYcOG6eDBg/r888/15ZdfqqKiQlVVVZKkDh06KCcn\n",
"R/n5+Ro8eHB0QphU17dvX3300UcqLS2Ne0wwGIzOiFp/FtQ+ffpo3759Ki0t1ahRo2KWLS8vV3V1\n",
"tbxeb3RmVsMw1KdPH+3atUt79uyJGxz37NkjKRzyvF5vQuczadIkXX311TH31f9G49ChQ22yRidS\n",
"m2EYysvLU1lZWZNDqnHyo73TC+2dXmjv9EJ7pw/TNNWjRw9J0tNPP91kj2OytGlwjOjRo4d69Oih\n",
"iy++OBkvf8INGTJEb731lj755BPZth1zSMBnn32mUCikHj16qEuXLg3Kbty4Udu3b9fkyZNjvv62\n",
"bdskSQMHDmzw2kOGDNGuXbu0bds2jRkzxrHs4MGDEz6fRLuwbdvmF1Eaob3TC+2dXmjv9EJ7pAfY\n",
"fgAAIABJREFUpxfa+9RXv33rP852orV6VtV0UFBQoOzsbH3zzTdxn91cuXKlJOmCCy5osH306NFy\n",
"u90qKSmJ9g7WZ9u2Vq1aFbPshRdeKEnavHlzzKU2amtr9cEHHzQ4FgAAAADaGsExAaZpasqUKZKk\n",
"V199tdFEN1u2bFFRUZE6duzYaAhop06dNGHCBEnS4sWLGw39XL58uUpLS9WrVy+NHTu2wb5+/fpp\n",
"9OjRCgaDWrJkSaN6LV26VEePHtXQoUM1bNiwVp8nAAAAAMSSlKGqp6JLL71UH3/8sbZs2aIHH3xQ\n",
"P/zhD5Wdna3i4mK9++67crlcmj59ujp06NCo7JQpU7Rjxw4VFxfr4Ycf1hVXXKGMjAxt3bpV7733\n",
"nnw+n2bMmCGXy9Wo7C233KLdu3dr/fr18vv9KiwslCStX79emzZtUpcuXTRt2rSknz8AAACA9EVw\n",
"TJBhGLrzzju1ZMkSrVixQgsXLozuy8nJ0bRp0zR8+PCYZb1er+677z4tWrRImzZt0o4dO6L78vLy\n",
"NHPmTOXn58csm52drTlz5ui5555rtMzJGWecoTvuuOOkmWQIAAAAwMnJsHmattnKy8u1fft2+f1+\n",
"5eXlacSIEXK7E8vg+/btU3FxsWpqatSnTx+dffbZCa+/s2vXLn3xxReyLCs6M20yHTx4kFlV04Bh\n",
"GOrZs6cOHDjAw/VpgPZOL7R3eqG90wvtnT5M00yJZVfocWyB3NxcjR8/vkVle/furd69e7eo7IAB\n",
"AzRgwIAWlQUAAACAlmJyHAAAAACAI4IjAAAAAMARwREAAAAA4IjgCAAAAABwRHAEAAAAADgiOAIA\n",
"AAAAHBEcAQAAAACOCI4AAAAAAEcERwAAAACAI4IjAAAAAMARwREAAAAA4IjgCAAAAABwRHAEAAAA\n",
"ADgiOAIAAAAAHBEcAQAAAACOCI4AAAAAAEcERwAAAACAI4IjAAAAAMARwREAAAAA4IjgCAAAAABw\n",
"RHAEAAAAADgiOAIAAAAAHBEcAQAAAACOCI4AAAAAAEcERwAAAACAI4IjAAAAAMARwREAAAAA4Ijg\n",
"CAAAAABwRHAEAAAAADgiOAIAAAAAHBEcAQAAAACOCI4AAAAAAEcERwAAAACAI4IjAAAAAMARwREA\n",
"AAAA4IjgCAAAAABwRHAEAAAAADgiOAIAAAAAHBEcAQAAAACOCI4AAAAAAEcERwAAAACAI4IjAAAA\n",
"AMARwREAAAAA4IjgCAAAAABwRHAEAAAAADgiOAIAAAAAHBEcAQAAAACOCI4AAAAAAEcERwAAAACA\n",
"I4IjAAAAAMARwREAAAAA4IjgCAAAAABw5G7vCqSbQ4cO6eOPP1ZVVZV69eqlc845R253Ys2wd+9e\n",
"FRcXq6amRn379lVBQYFMk+wPAAAAILkIjs300EMP6fPPP4+73+1265VXXmm0PRQKacmSJVqxYkWD\n",
"7Tk5OZo2bZqGDx8e9zX9fr8WLVqkTZs2Ndiel5enmTNnKj8/v5lnAQAAAACJIzi20KBBg+TxeBpt\n",
"j9V7aFmWnnnmGW3ZskX9+/fX1Vdfrc6dO6u4uFjvvvuunnjiCc2aNUsjRoxoVLa2tlaPP/64SkpK\n",
"NHToUF122WXy+XzaunWrVq5cqblz52rOnDmERwAAAABJQ3BsoRkzZqhbt24JHbty5cpoaPzlL38p\n",
"r9crSSooKNCQIUP06KOPauHChXrmmWfUqVOnBmX/9Kc/qaSkRMOHD9fs2bNlGIYkafjw4erfv78W\n",
"LVqkZ599Vk899VTCQ14BAAAAoDl4QC7JQqGQXnvtNUnS1KlTo6ExoqCgQBdccIEqKyv1zjvvNNh3\n",
"9OhRLV++XIZh6Oabb46GxojCwkINHDhQZWVlWrt2bXJPBAAAAEDaIjgm2bZt21RZWanc3FwNGzYs\n",
"5jGFhYWSpL/+9a8Ntm/cuFGWZWnw4MHKy8tzLLthw4Y2rDUAAAAAfIfgmGQ7duyQJJ111llxj4k8\n",
"L3n48GEdPnw4uj0yCY9T2YKCAknSrl27ZFlWW1QZAAAAABogOLaQbdsJHbd3715JUr9+/eIe43a7\n",
"1bNnzwbHJ1r2tNNOU2ZmpkKhkPbv359QnQAAAACgOZhNpYVuv/12ZWRkKDs7W/3799cPfvADXXDB\n",
"BXK5XA2OO3r0qCQ1OZFObm6uvvrqK1VUVES3HTt2rMVlAQAAAKCtEBybKT8/X263W8FgUJWVlTp4\n",
"8KC2bNmiLVu26C9/+Yvuv/9+5eTkRI8PBAKSJJ/P5/i6kf3V1dXRbZE/J1o28l4AAAAA0JYIjs30\n",
"05/+tMHfQ6GQioqKtGTJEu3Zs0e/+tWv9PDDDzcq19TQ1sj++jOnRv6caFkAAAAASAaCYyu53W6d\n",
"e+656tOnj+655x7t3LlTO3bs0KBBgyRJmZmZkpruDYzsjxwf+XNlZWWLyjoJBoMKBoMx9xmGEX0d\n",
"wzAaLQGCU0+kjWnr9EB7pxfaO73Q3umF9k4f9du4urrasdPI4/HI4/EkpR4ExzbSq1cvjRgxQlu2\n",
"bNHnn38eDY6RYav1Z0uNJbK/c+fO0W05OTmqrKzU4cOH1b9//2aVdbJs2TK9/vrrMfd17dpVL7zw\n",
"giSpe/fuCb0eTg3xlnzBqYn2Ti+0d3qhvdML7Z1e7rrrLh05ciTu/smTJ+vaa69NynsTHNtQr169\n",
"JEl///vfo9v69u2rjz76SKWlpXHLBYPB6Iyoffv2jW7v06eP9u3bp9LSUo0aNSpm2fLyclVXV8vr\n",
"9UZnZm3KpEmTdPXVV8fcV/8bjUOHDqmuri6h18TJyzAM5eXlqaysjGHPaYD2Ti+0d3qhvdML7Z0+\n",
"TNNUjx49JElPP/10kz2OyUJwbEORIaNZWVnRbUOGDNFbb72lTz75RLZtxxxO8NlnnykUCqlHjx7q\n",
"0qVLg7IbN27U9u3bNXny5JjvuW3bNknSwIEDEx6qkGgXtm3b/CJKI7R3eqG90wvtnV5o7/RCe5/6\n",
"6rdvoo+mJQPrODbD/v379dVXXykUCsXc/+mnn0oKz7waUVBQoOzsbH3zzTcqKiqKWW7lypWSpAsu\n",
"uKDB9tGjR8vtdqukpER79uxpVM62ba1atSpmWQAAAABoKwTHZvjNb36jWbNm6b//+78b7VuzZo2+\n",
"/vpr5eTk6Oyzz45uN01TU6ZMkSS9+uqrjSa62bJli4qKitSxY8dGw0c7deqkCRMmSJIWL17caNjo\n",
"8uXLVVpaql69emns2LFtco4AAAAAcDyGqjbDhAkTVFJSohdeeEF/+9vfNGTIELlcLm3dulXvvfee\n",
"JOkf//Ef5XK5GpS79NJL9fHHH2vLli168MEH9cMf/lDZ2dkqLi7Wu+++K5fLpenTp6tDhw6N3nPK\n",
"lCnasWOHiouL9fDDD+uKK65QRkZG9D19Pp9mzJjR6D0BAAAAoK0YNoOim2XVqlVasmSJampqGmzP\n",
"zMzU1KlTNW7cuJjlQqGQlixZohUrVjTYnpOTo2nTpmn48OFx39Pv92vRokXatGlTg+15eXmaOXNm\n",
"g6GxbengwYNMjpMGDMNQz549deDAAZ6RSAO0d3qhvdML7Z1eaO/0YZpmSsyeS3BsAb/fr48//liH\n",
"Dh2SFF62oqCgoMGkOPGUl5dr+/bt8vv9ysvL04gRI+R2J9bxu2/fPhUXF6umpkZ9+vTR2WefndS1\n",
"ewiO6YF/eNIL7Z1eaO/0QnunF9o7faRKcGSoagtkZWXpvPPOa1HZ3NxcjR8/vkVle/furd69e7eo\n",
"LAAAAAC0FJPjAAAAAAAcERwBAAAAAI4IjgAAAAAARwRHAAAAAIAjgiMAAAAAwBHBEQAAAADgiOAI\n",
"AAAAAHBEcAQAAAAAOCI4AgAAAAAcERwBAAAAAI4IjgAAAAAARwRHAAAAAIAjgiMAAAAAwBHBEQAA\n",
"AADgiOAIAAAAAHBEcAQAAAAAOHK3dwUAAACOZ5qmTDP8/bZlWbIsq51rBADpjeAIAABShmmasiyv\n",
"qqoMrVnjkSQVFgaVmWnLNGsJkADQTgiOAAAgJZimKcPI0OzZWVq61KtQyJAkud22rr++Vk8+acg0\n",
"awiPANAOCI4AACAlWJZXs2dn6Q9/yGiwPRQyotvmzbMlBdqhdgCQ3pgcBwAAtDvTNFVdbWjpUm/c\n",
"Y5Yu9SoQMKLPPgIAThx+8wIAgHZnmqbWrPFEh6fGEgoZWr3aQ3AEgHbAb14AAAAAgCOCIwAAaHeW\n",
"ZamwMCi32457jNtta9y4IJPjAEA7IDgCAIB2Z1mWMjPDs6fGc/31tcrIsAmOANAOmFUVAACkBNMM\n",
"L7khKc5yHH7Zdq3SJTeaphl9ntOyLAIzgHZFcAQAACnBsiyZZo3mzbP10EN+rV7tkSSNGxeUz2d/\n",
"GxpP/fBkmqYsy6uqKkNr1oSvQWFhUJmZtkwzPa4BgNRDcAQAACkjHIoCysoyNXFiMLot/F/71u1E\n",
"ME1ThpGh2bOz4vS6GjLNGsIjgBOO4AgAAFJOug7NtCyvZs/O0h/+kNFgeyhkRLfNm2dLCrRD7QCk\n",
"MybHAQAASAGmaaq62tDSpd64xyxd6lUgYLCWJYATjt86AAAAKcA0Ta1Z44kOT40lFDK0erWH4Ajg\n",
"hOO3DgAAAADAEcERAAAgBViWpcLCoNxuO+4xbretceOCafn8J4D2RXAEAABIAZZlKTMzPHtqPNdf\n",
"X6uMDJvgCOCEY1ZVAACAFGGa4SU3JMVZjsP/7XqW7VlLAOmI4AgAwCnINM1vZ+mslmmaqqura+8q\n",
"IQGWZck0azRvnq2HHvJr9WqPJGncuKB8Pvvb0EhqBHDiERwBADiFmKYpy/KqqsrQmjUeSZYKC73K\n",
"zLRlmoSOk0G4jQLKyjI1cWIwui38X/vWDUD6IjgCAHCKME1ThpGh2bOzjhvmmPXtMEdDpllDeDxJ\n",
"RMIiAKQCgiMAAKcIy/Jq9uws/eEPGQ22h0JGdNu8ebakQDvUDgBwMmNWVQAATgHh5xkNLV3qjXvM\n",
"0qVeBQIGi8cDAJqNfzkAADgFmKapNWs80eGpsYRChlav9hAcAQDNxlBVAMAJFZntU+IZLgAAThYE\n",
"RwDACdF4tk+psDDIbJ9txLIsFRYG5XbbcXsd3W5b48YFudYAgGYjOAIAki7+bJ92u8z2eTL1eiZa\n",
"V8uylJkZvp7HT44Tcf31tcrIsFP6fAEAqYngCABoIBmhKlVm+zyZej1bUlfTDIdwSXECuv/bBeRP\n",
"3HkAAE4Nhm3bdntXAqnp4MGDqqura+9qIMkMw1DPnj114MAB8evg1OfU3pGgUl3dtqHKNE1VVWVo\n",
"0KAcxyGUO3ceVVZW8nodI72es2bF6/X0y7ZTY43D1tQ10o6BQHgiHMnQuHG18vlSLxyjbfH7PL3Q\n",
"3unDNE3l5eW1dzXocQQAJHcoaXNm+5w4MXnP36VKr2ciWlPX8PULKCvL1MSJQXXq1EkVFbWqq6uj\n",
"pxEA0GLMxw0AKcA0Tbndbrnd7nZZKsGyvJo1KxxU6ge8SFCZNStLlhV/fcBUdzKtcdhWdbUsS3V1\n",
"dcrMzKSXEQDQagRHAGhH4Rt/n6qqMvTWW1l6660sVVVlSPKdsACT7FBVf7bPeNp6ts/jg/jJtMbh\n",
"yVRXAED64F8cAGgn3w0P7aBBg3J0660ddeutHTVoUI5mz+4gw8g4IcEg2UGl/myf8bTVbJ/xgngo\n",
"5FGPHvS6AQDQUjzjCADt5GR65q61TsRsn00/p+nXpZfW6r33YvespsIah+FzMFRYGGI9RgBASqHH\n",
"EUBaa69nC1PpmbsTMZTUsizZdo3mzavSzp1H9eKLlXrxxUrt3HlU8+ZVtclspok8p/nrX/tlmrHP\n",
"sz3XOKzfU/rmmz4Zhk5IDy0AAIkiOJ5kjh07pvfff19vvvmmPvzwQwUCJ39PBNAaLQ1+7f1sYSo9\n",
"x5bsoaSRNgo/a1irjh2DmjQpoEmTAurYMSgp0CZDVBMJ4h6P9Oij1Q1Csttta+rUGj35pF8uV/xr\n",
"kCyNhyx30q23dtBjj/k1dWpNStUVAJC+GKp6krBtW2+88YZef/31BjdYmZmZuuWWWzRmzJh2rB0Q\n",
"WzIWkq//2i1dyD2ZS0+kkuZc/2QMJT2+jXr0sDRyZN23fw//8xNuM3er1xdMPIi7dcstAV17bc23\n",
"axxK48YF5fPZ357fiW/zWEOWV6/26KabOmrBAr8eeKBa69a5U6KuAID0RXA8Sfz+97/X8uXL1aNH\n",
"D02cOFHdu3fX3/72N7399ttauHChamtrNX78+Pau5ikhmWHnZBO5FoYRvhm3bTuha9KaUJdovVoS\n",
"/CLnEwp5En62MFmfh8jwUK/X0tixIV1zTa169rR14ICpN97waNUqj0xTcYeHOtXL+foH49bHNGs0\n",
"b56thx7yJxyq6tfjeLbtibbR2LEhLV5cqfvuS4WwHlJWlqWJE8PXInL92uNH3TRNVVXF7ildvdqj\n",
"kSOzdemlQb38cpU8ntC3azG2rq78jgMAtATB8SSwdetWLV++XF27dtUjjzyi7OxsSdJZZ52lESNG\n",
"6P7779fvfvc7DRkyRL169Wrn2p68IjfbtbWGvvoqfFPVt68lr9eWy1WXcGiK9brH36QlcuPW1DFN\n",
"BQeXyyXDMGTbdvRmszl1jlyLUMhQKCR98EH9HqL4AdAp1P3DP9ToyScNuVyhFl/P8PkmNqmMadZG\n",
"g29dnUtVVYaKi10680wr5o26adoqLAzpe9+zZJqGwkNZkxN+LctShw62duw4Jo9H8vsNrV3rlmna\n",
"WrjQr9pa6c03vY2GhzYVyiU1OUFMMBg/PNZfOD6yLVZQiV2PkAxD+vRTU0OHWgqFpP37TVmWtGCB\n",
"X/ffn7yJgOo/p5nIhDKpEpia6im1LEMrVnj17ru1mjixdZPhJPsLHQDAqY3geBJ49dVXJUlTpkyJ\n",
"hsaIvn376qqrrtKbb76p//iP/9Cdd97ZHlVsN069HZJkGEaD3rL6AapxWY+OHTNUVydt3x6+gc/L\n",
"s2Wa0ubNGTp40FRhYUiZmVajm6x44TBWEHW7pbo66Z133JKMRjduiQSDePtdrqDq6jyqqjK1Zo1L\n",
"3bvbGjmyTh6PW263LcuKfXNo23Y0YIXDplu/+51XU6fW6qGHMpvsIWoYVE2tXOlSr16W7r47oK1b\n",
"3Vqzxq2xY0O6664aHTliaP36zEbnlehNq1MPTURZmSHbNlRVlRG9RhddFFIgYOjrr0199ZWr0Y36\n",
"uHFBLVjgl8dja906t955xxMt8+c/Z2j1ak/cc6/f9pE61v8sxDsP0zSUkSHHkCcFVVf3XZmmelrr\n",
"6uwmQ/X8+X7Ha9z0sFbnejz2mF+33NJBeXm2Fi+u1LPP+uTx2E0+f/jQQ35lZZnN+izUv9aR5zSP\n",
"P/eIdJ5QJnydvEkfnt2a3kx6QgEgtREcU9xXX32lvXv3KiMjQxdeeGHMY8aNG6c333xTRUVFCgQC\n",
"8vl8J7iWJ179cPXZZy4NG2bJthV9buryy4NyuaRAIPwslWVJl1wSUocObrlc4Ykm6gevyy8PKiND\n",
"evTR2CHpiSf8eustU9OnZ6lHD0vz5xtyuWq/7TVrHOI6dLBlmkaDICpJXbuG69Wli62LLqrT7bd3\n",
"0G23dYjeuLndQZmmR19+aWr7dpdee8377eQo4ZveBQsM2bZz0Pj97706elS6/fZaud3SgQOG9u41\n",
"NGyYpczMDLlctaqLJJFvr+XBgxWqqvJGz2HMmJBuvLFWS5ZkNBFAItfS1Jo1btm2NG5cSBdfXKeO\n",
"HcPv/f/+X0Ber+TzSS+/nKE5c3yqrTWPq3diN62RSVYOHDB18cWhb9u2cQB8+eWquEMin3jCr40b\n",
"3Y3KLF5cqfvvj11m8eJK3XRTR61e7Ylx7g173Hw+W5s3u779oiH8WTi+xzp8g+xVTY30yisZeuUV\n",
"ryzLiPZ4jhgRkiT97ncZ+ulPbUnh9mqqp3XIkDpNmVLbZECbO7daWVlmg89BcyTS4zt/frVGjgx/\n",
"0TV3brX+67/cCU0ENHGiLanpZ1Tj/dyFw3bylvxoa83tKW2J8JdmiQ/PbonWPnNMTygApD6CY4r7\n",
"/PPPJUkDBw6U1xv7ZrB79+7q3r27Dh06pN27d2vw4MEnsoonXP3ejrIyQy+/XNXghn/cuKCuvDIY\n",
"NzjMm+eXaUrTpnXQe+95ZZq2iooq9Ktf+Rxvqh56qFoXXRRUMGjqt7/N0E03SS5X4xDn9VraseOY\n",
"YxCdN8+vjAw7Gkj27zdVWWlI8jYIuldeGVRlpaHbb++gV17x6oEHqvXoo5lx6zloUJ1uvrlGlhUO\n",
"NOGhj+HXqqkx9Oc/e/Wzn6lBb5nk1c9/7ovbc7RmjSf6vFt9ZWXh3sl4IfaJJ/z63/81VFtraNUq\n",
"t1wu6cc/rtUVVwR1zz1ZWr3ak/BN6/E3lpYlPfNMlYJBI/pa4ePshIZEPvaYX16vpdpaM+EyCxb4\n",
"NXJktizLaPLcH3vMr2ee8ej7369TMGhr/frwz274ZliqrZVWrAjX+Uc/Cl+TP/7RqxtvrJXHY+v9\n",
"98P7LrkkKNs25Ha7ZNt2kz2tx46FvyhpKqCtWuXRxIktm5EzkR7fpUu9mj27WoWFIS1d6tUjj4R/\n",
"5ppSWyu9955X48fH/yKhqd7OBQv8mjevqlnPabanE9FTGgqFEppxtrk9vhGtmWwqXSaqAoBTAcEx\n",
"xe3du1dSeEiqkz59+ujQoUPau3fvKR8cI70dr7ziVVFRRYMb/kRDwAMPVGv+fL9GjvSosDCU0DC6\n",
"2bOr9S//0kHdu9t67DG/QiHF7JEbOzYkj0dNfrv/2GN+vfKKV889V6XsbDvujdO8eX794Q+Veuop\n",
"n+rqFLee48YFdfPNNbJtOYbmcOgNh7REeo7qB6YI07Q1f351dM2848vu32/KtqV582IH5/o9eJHr\n",
"G++mtakby/qvlWhbzplTrblzA7rvvqxmtX9hYbiX0+ncIwF+1qyAZs2KHyzrD3+dO7fa8fgnn5Rc\n",
"rlCTs4ZalpLem5bo7KVr13p0zjkhrVrlUVGRO6EF7S+5JKSZMztoxQpP3C8SEnu+tUpZWTUpMflN\n",
"IpIxo219oVDTn53venyb37OZ6DPHLW/PlveEAgDaDus4prijR49Kkrp16+Z4XG5uriSpoqIi6XVq\n",
"T/XXaot1w59oCLAsqVOn74YFvv9+YjfCBQV1+sMfMnT//VmqqzN07FjjY6+5plZ+f9Pf7ldXG+rS\n",
"xVLHjt89kxZr0fLZs7NUUWHon/4poPffj92bFA7MVaqoMJp8rQkTahUIGHK73Qn1Qni94etUX2RI\n",
"ZrwJZhYs8DvW4/77s7RgwXcLsTutV9jUou71XyvRtly50q2bb67R1Kk1GjUq8fY/55xQk58x07Q1\n",
"YUIw4Tpblpo8ftasLAWDbkmxF66P2LrVrUsuCTVY9+94bret8eODsm3n12pLBw4Y0eHW8Vx/fa1q\n",
"asI9pkuXehUIGI0+D4mu1RgIhK9hKBRSKBRK+d4qy7Jk2zWaN69KO3ce1YsvVurFFyu1c+dRzZtX\n",
"JdtO3R635rRJa9rzRKytCgBwxm/iFBcIhL9lbeq5xcj+6urqpNepPdXv7YgVEhINDmvWeLRvn0vn\n",
"nBOKe5yTcK+A1L9/45u5nj1trV3b9HDBNWvcGjTISujGybIkjyf82rEUFobUsaPt2CMZea3MTOmz\n",
"z1zN7jmqL3ydY59jouE9ViA9XqI3lpHXMk1Fn2F1YlmGli3z6u67A5o2LeAYtI7ndO5S888/0eMD\n",
"Aenyy51D4bp1LnXoYDcZ0DIzjRYHkfrP5MUT7j0M6qOP3NGexEWLMhwXtH/sMb9mzcqSZRlxv0hI\n",
"fK3G2F9CpLLvZrSt0cSJfk2c6FdWVo3CIwNaFxrdbndCbdaS5yhb0yancnsCwKmI38QpLjIjaFMi\n",
"vQeJHo/vbN3q1sUXJ34jLIVvZt5/3y3bbny9DxwwE3qeyzTD7ZVYyPToq69MjRwZOziMGBHS11+7\n",
"tHZtIkHQrS5dWt/bFO+j1pwe3EggjXfTmuiN5fr1bv3iF9X6v/83oPHjm+5xu+SSoP7zP70aOTJb\n",
"69e7Ey4TaX+XK+6hzT7/RI9fvdojn885FF53XVCmGZ4gJl5Ae/JJv047LSv+CTSh/jN58dTvPbz+\n",
"+lplZ9s688yQtm516fHH/dqx45ief75Szz1Xpe3bj+nuuwMNhi6nM8uy2ryn1O12J9Rm6TrjLAAg\n",
"MTzjmOIiPYmRnsd4Eu2ZlKRgMBh3HTfDMJSZmRn9c6oFUdu2o9+cb93q1k9/WtXgualY247ndtvf\n",
"Lrxu66OPMrVmjVvBoNHk5BSRG+H69uxp/B5vvOHRwoX+BOoQ0tq17rgBrPG5h8OaUz0TlZ9vJTyb\n",
"4/jxQc2cmdVgW5cudjRsOQWeREVuWm3bbtFnzjCko0cNPfpoB82fX51QW65b59INN9Rq/PiQ6uqc\n",
"r2v9MuPGBXXppU2de3KGgRpGXZOzhkrhn+158+yYE8RIQXk8nlb9bJtm0LEekeU4brghXCfDCEaf\n",
"N5SkujqP9uxxybKkmTM7NJodN/JFwvGfh/o//03NQNrSz9KpJvJ73OVybrPIZ+f4WYqb0po2oT3b\n",
"XuQaca3SA+2dPuq3cXV1tePjJh6PRx5Pcr6IJTimuJycHEnS4cOHHY+L7I8c72TZsmV6/fXXY+7r\n",
"2rWrXnjhBUnh2VpTjW3bsu0KXX99rV55xdso8CUaAg1Dqqgwojes99yTpcWLKyXFvxG+6aaO0Zuq\n",
"SPD75pvGwwtXrfKotrbpIBIISIcPG5oypekbp8LC8E1/ZmZ4sprj67l9u0v/9E8B5eZaCdyEheR2\n",
"G+rWrZss6+9N1rNjR1u//nWV3n8/3FsxblxIWVnhIBurbKLh/ZJLgrr77ixNnVqjBQv86tKlkzye\n",
"rg2OCwaDGjeu6dcaNy6k6dOz9N57Xt1zj+HYlvPn+7V5s1s7dlQoM9NQ164dJUkLFiRa5rtrE+u6\n",
"bd0afn4ykfOfObODJCV0vcaPD0V/vufP92vu3GqtWhX+h2H8+GD0XCL/WNi2rVAopBsR9I7fAAAg\n",
"AElEQVRvjPTqZsjtdkf/8cnLy4v5XokKBoP16hH+pyQyXHjrVrcWLfI3qlOkXgcPVmj/ftPxc5eV\n",
"Zap79+6Ngkbk57+5ZdNdjx49jmuz+J+d5mhNm9CeydPan2+cXGjv9HLXXXfpyJEjcfdPnjxZ1157\n",
"bVLem+CY4iKzqZaWljoet2fPngbHO5k0aZKuvvrqmPvq/8N86NChFq/zlkymaerJJ8PDqX7+80y9\n",
"/HKVpO9u+JsKgZHlOO64o0M0CH7wgVtLlmRo3jy/HnqoWqtXu1VXF17PsLbWaDSMLvycmK2bb65R\n",
"cbGrwfuYpvTmm17Hb/fnzfNr8eIM3XJLTUK9XYYheb1SXV04vMXuTZKCwaZfq0OH8LIEBw8ebHAt\n",
"4/VCmGZIXq/04x+Hvr3Rs6NLeTz5pN2o7Lp1LrndTdfD55Oef77q22USgnG/HPH5MhJ4LVs9eoTP\n",
"Y/Vqj266qeO3E/RUa+1aj1wuW5ddFpLPZ8nlqtN55wWj53H4sP/bdjPj9tIdXybeubvdtnr1qlOn\n",
"Tk0vr1C/BzuRLzu8XqvBNcrKMqNLahx/Lk4Mw1BeXp7KysraZIKc+vWIOO885zol8rmTalVW1rZl\n",
"01Gs9m7pZyce2jN1tPXPN1Ib7Z0+TNNUjx49JElPP/10kz2OyWLYfNJS2tdff627775bXq9XL774\n",
"YnQYaX379+/XXXfdJZ/Pp5deeinueo/NdfDgwZQMjtJ36/oFAoY+/dSls84KT7UfuRG//PKgXC6p\n",
"psbQ6tXhdRELC0PKyrKjk6f4/UajgGCa4Zspl8slya3f/jbegvXhm5nwTVe4Ho3DRlB1dR4FAqZW\n",
"rw7X65JLQnK5bLlcktsteTyR55i8cZdimDfPL7dbsqyGMyuGF5EP1yuy3TQzFAo1Xlvy+HrXb1eX\n",
"yyXb9snvt2Jej0QW7o6co21HeiRtGYb085/Hr4fLZcuyws9yNdXWhpHheH02b3bp3HPrdO+93x1j\n",
"mrYuvTSoqVNrddllQdl2sMn3inVd451//c/gd9ctpIwMW19+aer//B8r7vlHerDrL8fxs5/VOCzH\n",
"4W+zmTUNw1DPnj114MCBdr3RiH39mvu5a37ZdHOi2pv2TA2p8vONE4P2Th+maaZEzzLB8SRw7733\n",
"qrS0VDfddJOuvPLKRvsXL16s5cuX66KLLtLtt9/eZu+bysExov5Nfiz1n9O0bVt1dXX1QpZzQIgX\n",
"DHw+q9HNjNNrRfbVr0esY+oHsMZBN7Gbp3AdvKqrM+T3h3u0TDN+vSPXKC8vT4cOHYrW0SkwxXtf\n",
"l8slwzCivZKmaaq21qVAwNB774WD8/jxIWVm2nK7Ewtxja9P45BWVOTSwYOmLr88KLdbCgR0Qm8+\n",
"Ywf4cHsHg64YN8NSKCStWBHvi4bk3jyn2o1GokG9rcumixPd3rRn+0q1n28kF+2dPgiOSNi2bdv0\n",
"+OOPKzs7W/Pnz1eXLl2i+/72t7/pF7/4hUzT1FNPPdWmH6qTITieCCfyZub4AFY/6CbrdZL9D4/b\n",
"7W5w/ZoTGI8XL6RF/h4ZRppKN5+x6pPIFw2x9rUFbjTSC+2dXmjv9EJ7p49UCY4843gSGD58uK68\n",
"8kotX75cv/jFLzRp0iR1795du3bt0ttvvy3LsvSzn/0sJT5Qp6ITGT7a6r1SITBFtCYoHi/WecX6\n",
"e6qcuxS/zvHqmGr1BwAAkAiOJ42bbrpJnTp10n/+53/qpZdeim7PzMzU9OnTNWbMmHasHQAAAIBT\n",
"GcHxJHLNNddo/Pjx+uijj3Ts2DHl5uZqxIgRCa3dCAAAAAAtRXA8yXTu3FkXX3xxe1cDAAAAQBqJ\n",
"Px0lAAAAAAAiOAIAAAAAmkBwBAAAAAA4IjgCAAAAABwRHAEAAAAAjgiOAAAAAABHBEcAAAAAgCOC\n",
"IwAAAADAEcERAAAAAOCI4AgAAAAAcERwBAAAAAA4IjgCAAAAABwRHAEAAAAAjgiOAAAAAABHBEcA\n",
"AAAAgCOCIwAAAADAEcERAAAAAOCI4AgAAAAAcERwBAAAAAA4IjgCAAAAABwRHAEAAAAAjgiOAAAA\n",
"AABHBEcAAAAAgCOCIwAAAADAEcERAAAAAOCI4AgAAAAAcERwBAAAAAA4IjgCwP9v797joqzzPYB/\n",
"GAYYLoIgICCi4vECXqNQLBSPim5apiWh3dakTmut27qd2lUzsmOn1q1cTXP3WOtLXSstYMVOJKRQ\n",
"kIsml5KLchMBkRARBoRxGGbOH5znWUaGh5lhBgg+79er12t6fr/nmd8z35mR7/xuRERERCSJiSMR\n",
"ERERERFJYuJIREREREREkpg4EhERERERkSQmjkRERERERCSJiSMRERERERFJYuJIREREREREkpg4\n",
"EhERERERkSQmjkRERERERCSJiSMRERERERFJYuJIREREREREkpg4EhERERERkSQmjkRERERERCSJ\n",
"iSMRERERERFJYuJIREREREREkpg4EhERERERkSQmjkRERERERCSJiSMRERERERFJYuJIRERERERE\n",
"kpg4EhERERERkSQmjkRERERERCSJiSMRERERERFJYuJIREREREREkpg4EhERERERkSQmjkRERERE\n",
"RCRJ3t8NGGpaWlqQnZ2Nuro6uLu7IyQkBMOGDTPq3MbGRuTk5KChoQHe3t4ICQmBQqGwcouJiIiI\n",
"iGioY+JogmPHjiEuLk6yzvbt2zFhwgSDZadOncLBgwdx+/Zt8ZhcLkd0dDSWL1/e7TV1Oh3i4+Px\n",
"+eefQ6vViscdHR2xbt06zJs3z8Q7ISIiIiIiMh4TRzP4+/vD3d3dYJmzs7PB419++SUOHjyI4cOH\n",
"Y/Xq1Rg9ejSuXr2K48eP48iRI2hubsZjjz1m8NyDBw8iKSkJI0eOxEMPPQRvb2+UlpYiMTERe/fu\n",
"hVqtxqJFiyx2f0RERERERJ0xcTTD8uXLERERYXT98vJyHDp0CAqFAtu2bYOPjw8AYNq0aZg1axZ+\n",
"//vf4/jx45gxYwamTJmid252djaSkpLg4eGB7du3w9XVVTw3JCQEmzdvxoEDBxAcHAw/Pz/L3SQR\n",
"EREREdH/4+I4feDo0aPQ6XRYunSpmDQKPDw8EB0dDQD4+OOPu5wrHIuKihKTRkFAQACWLVsGjUaD\n",
"Y8eOWan1REREREQ01DFxtLLm5mbk5uYCABYsWGCwTnh4OOzs7FBSUoLa2lrxeEVFBSorK+Hg4IDw\n",
"8HCD5y5cuBAAkJWVBZVKZeHWExERERERMXG0uqKiImi1Wvj4+MDLy8tgHYVCgUmTJgEALl68KB4v\n",
"LCwEAEycOBH29vYGz/X29oa3tzfUajUuX75s4dYTERERERExcTSLTqczum5lZSWAjmGlUkaPHq1X\n",
"v7fnEhERERERWQoXxzHDvn37sH//fri4uMDf3x8zZszAggUL4OLi0qVuY2MjAMDT01PymkK5UB8A\n",
"GhoajDpX6MlUKpXG3wQREREREZGRmDiawMfHB1OnToVWq0VLSwtqa2uRl5eHvLw8JCYm4qWXXkJQ\n",
"UJDeOa2trQA6hqNKEco7z1MUHht7rvBcREREREREljRoE8fc3FxxURpTBQQEGFzIZt68eZg3b57e\n",
"seLiYhw5cgSFhYXYsWMHdu3apbf6qY2NDQDThrfeeW5PhGsbW99YMpnMrHbTz4vwvmG8hwbGe2hh\n",
"vIcWxntoYbyHDplsYMwuHLSJY3FxMZKSksw6NzQ0tNsVUO80YcIEbN68Ga+88gquXbuGlJQUPPLI\n",
"I2K5oZ5EQ4RyR0dHs8/tqWdS0NbWhra2NoNlNjY2Yhu6W8yHBqeRI0f2dxOoDzHeQwvjPbQw3kML\n",
"4z20tLa2Sv5QYGdnBzs7O6s896BNHKOiohAVFdUnz2Vvb4/Fixfj4MGDequiAsDw4cMBAHV1dZLX\n",
"EMrd3NzMPleo35OEhAR8/vnnBssCAwPx9ttvG3UdIiIiIiLqO9u2bUNZWVm35atWrcKjjz5qlece\n",
"tIljX/Pz8wMANDU16R0XVkS9cuWK5PlCeecVVIXH5eXlJp8rZeXKlXjggQe6LW9oaMDbb7+N2NhY\n",
"vR5QGpxaW1uxceNG7Ny5k/EeAhjvoYXxHloY76GF8R5aWltbsW3bNrz88suS8bZWbyPAxNFibt++\n",
"DQBwcnLSOz5x4kTY2tqitrYW165dg6+vb5dzW1paUFRUBBsbG0yePFk8HhwcDKBj2G1ra6vBN0l1\n",
"dTXq6uqgUCgwduxYo9pqTBd2WVkZx8sPETqdDvX19Yz3EMF4Dy2M99DCeA8tjPfQotPpUFZWBkdH\n",
"xy75Rl8ZGDMtfwbq6+tRUVGBW7duGSy/cOECgI6hnp05OTkhJCQEAJCSkmLw3NTUVGg0GkyaNElv\n",
"641Ro0Zh7NixUKvVSEtLM3hucnIygI55mfb29ibdExERERERkTGYOBrp5MmTePnll3HkyJEuZRUV\n",
"FUhNTQWALquuAsCjjz4KmUyG5ORkVFZW6pXV1tYiLi4OABAdHd3l3DVr1gAA4uPjcfPmTb2y0tJS\n",
"nDx5EnK5HKtWrTLvxoiIiIiIiHrAoapGWrhwIZKSknDq1Ck0Nzdjzpw5cHFxQWlpKY4fPw6NRoPI\n",
"yEiD8wwDAgLw5JNP4uDBg9i2bRtWrFiBgIAAVFVV4fjx47h16xZWrFghDk3tbObMmbj//vuRlJSE\n",
"V199FStXroS3tzdKSkqQmJgIrVaLmJgY+Pj49MXLQEREREREQxATRyN5e3tjy5Yt2L17N86ePYuz\n",
"Z8+KZTKZDIsXL8bTTz/d7flLly6Fg4MDDh48iMOHD4vH5XI5Hn/8cSxfvrzbc9euXYthw4YhLi4O\n",
"+/fvF487OjrihRdeMNjLSUREREREZClMHE0wadIkvP/++8jLy0NlZSXa2trg5uaGadOm6c1N7M7C\n",
"hQsxZ84cZGdn48aNGxg+fDhCQkIwbNiwHs995JFHsGjRIuTk5KCxsRFeXl4ICQkxeu9GIiIiIiIi\n",
"czFxNJFMJsP06dMxffp0s853cnJCeHi4Wee6ublh/vz5Zp1LRERERERkLtvXX3/99f5uBA08MpkM\n",
"U6ZMga2tbX83hfoA4z20MN5DC+M9tDDeQwvjPbT0d7xtdNz8hYiIiIiIiCRwOw4iIiIiIiKSxMSR\n",
"iIiIiIiIJDFxJCIiIiIiIklMHImIiIiIiEgSE0ciIiIiIiKSxMSRiIiIiIiIJMn7uwFkfY2NjcjJ\n",
"yUFDQwO8vb0REhIChULRq2uWlJSgqKgIWq0W48ePR1BQkIVaS5ZijbjTwGPpONfW1iI/Px83b96E\n",
"XC6Hl5cXpkyZAldXVwu2mnrDkjHX6XS4dOkSLl++jNbWVigUCvj7+2Pq1KmQyfjbcn/j9/jQwngP\n",
"LdaIt1arRV5eHioqKtDe3g5fX1/MnDkT9vb2FmkzE8dBTKfTIT4+Hp9//jm0Wq143NHREevWrcO8\n",
"efNMvmZ9fT327NmD/Px8veOBgYF48cUX4ePj0+t2U+9YI+4AcO3aNcTHxyM9PR06nQ6xsbEIDg62\n",
"VLPJRJaOs0ajwYcffojU1NQuZXK5HI888ggefvjhXrebzGfpmFdXV+O9995DZWVllzJPT0/853/+\n",
"J8aNG9frdpPprPU9fqe0tDTs27cPAHD06FGLXJNMZ+l419bWYsOGDZJ1Fi1ahGeffdas9lLvWOvz\n",
"XVBQgA8++ADXr1/XO+7q6ooNGzZg+vTpvWo3wMRxUDt48CCSkpIwcuRIPPTQQ/D29kZpaSkSExOx\n",
"d+9eqNVqLFq0yOjrKZVKbNu2DTU1NZg9e7b4xv7nP/+JjIwMxMbGYvv27fDy8rLWLZERLB3327dv\n",
"Y//+/cjIyIBOp7Niy8kUlo7z4cOHkZqaCl9fXyxbtgw+Pj5QKpX45z//ie+//x5Hjx6Fn58fwsLC\n",
"rHhXJMWSMddoNPjjH/+ImpoaTJ06FQsWLICbmxvq6+uRlJSEsrIy/OlPf8Kf//xni/1STcaz9Ofb\n",
"kOrqanz00UcWajH1hrXi7ezsjMDAQINl/v7+vW02mcka8c7Ly8Nbb70FjUaD++67D7NmzYJCocD3\n",
"33+Pr7/+Gjt37sQHH3wAR0fHXrWdieMglZ2djaSkJHh4eGD79u3iMLNp06YhJCQEmzdvxoEDBxAc\n",
"HAw/Pz+jrrl//37U1NRg4cKF+I//+A/x+D333AMvLy8kJCTggw8+QGxsrFXuiXpmjbg3NjYiPT0d\n",
"jo6OmD9/PvLz81FRUWHN26AeWDrOarUaX3/9NWQyGWJjY+Hu7i6W3Xffffjb3/6GkydP4n//93+Z\n",
"OPYTS8e8oKAANTU18Pf3x5YtW/SGpYaGhuI3v/kNbty4gaysLMyZM8dq90VdWeN7/E5qtRo7d+6E\n",
"Wq22ZNPJDNaM95gxY/Dqq69ao9lkJmvEu7m5Gbt27YJGo0FMTAwWL14sls2cORMNDQ0oKytDRUUF\n",
"Jk2a1Kv2cwLDIPXxxx8DAKKiorrMTQoICMCyZcug0Whw7Ngxo65XVlaGc+fOQaFQ4IknnuhSHhUV\n",
"BU9PTxQUFCA3N7f3N0BmsXTcAUChUOCpp57CX/7yF6xduxbOzs4WbTOZztJxlslkeO2117B9+3a9\n",
"pFEwf/58AMCVK1d613Aym6Vj7u/vj9///vfYsGFDl7mMjo6O4h8XtbW1Fmg9mcIa3+N3OnToECoq\n",
"KrBkyZJetZV6ry/iTQOHNeKdmJgIpVKJyZMn6yWNgpdffhn79u3rddIIMHEclCoqKlBZWQkHBweE\n",
"h4cbrLNw4UIAQFZWFlQqVY/XzMjIAADMnj0bTk5OXcptbW0RERGhV5f6ljXiDnSMjV+2bBkn6A8Q\n",
"1oizXC7HpEmTMH78eIPlbW1tAAA7OzszW029YY2Ye3h4ICQkBGPHjjVY3tLSAgAYMWKEeY0ms1jr\n",
"e7yzzMxMpKSkYOzYsXjyySd71V7qnb6INw0c1oi3TqdDeno6ACAyMtJyje0GE8dBqLCwEAAwceLE\n",
"buemeHt7w9vbG2q1GpcvXzb6mlITa4WyS5cumdpksgBrxJ0Gnv6I83fffQegY9gT9b2+jnlZWRkK\n",
"Cgrg4uKCmTNn9upaZBprx7q2thZ//etfoVAo8OKLL/LHoH7Gf7eHFmvEu6amBvX19QCk/0a3FCaO\n",
"g5CwQl5AQIBkvdGjR+vV745Op0NVVVWP1xTKrl+/znkT/cDScaeBqa/jnJmZiZMnTwJArxfjIPP0\n",
"ZcxzcnLw1ltvQS6X49e//jVcXFzMvhaZzpqx1mg02LVrF1paWrBu3Tqz50eS5fDf7aHFGvEW1pzw\n",
"9fXtk22zuDjOINTQ0ACgYzl1KcLqp0qlUrKeSqUSE0Gpazo5OUGhUEClUkGpVPb4/GRZlo47DUx9\n",
"GedvvvkGf/nLXwAACxYswL333mv2tch81oy5UqkUF1WoqalBQ0MD7rrrLqxevbrbYaxkPdaM9aef\n",
"foqSkhLMnTtXnFpC/cva3+cFBQVYs2YNFAoFvL29MWHCBCxYsKDblVbJuqwR75s3bwKA+ENQU1MT\n",
"UlNTUVJSgvb2dowfPx6LFi2yWFLJxHEQEsZE9zQnTShvbW2VrNe53JhrqlSqHq9JlmfpuNPA1Bdx\n",
"1ul0+OyzzxAXFwcAePDBBw0uikV9w5oxb2trQ15ent6x4uJipKenw9vb2+CcdrIea8U6NzcXJ06c\n",
"gK+vL/fuG0CsFW8HBwdMnToVQMeWWvX19SgvL0d5eTlSUlL4nd5PrBFv4ZrDhg1Dfn4+du7ciaam\n",
"JrH8/PnzOHHiBF555RUEBQWZ23QRE8dByMbGxqh6wp58PdU39nq9PYd6x9Jxp4HJ2nFWqVTYvXs3\n",
"srKyYG9vj2eeeYa9E/3MmjEfMWIEjh49Cq1Wi5s3byIvLw9xcXH44osvkJ2djTfffJPJYx+yRqxv\n",
"3ryJPXv2wM7ODr/97W/h4ODQqzaS5Vjrs+3m5oatW7fqHbt58yaSk5ORkJCAEydOwM/PDwsWLDCt\n",
"wdQr1oi3VqsFAPz000/YsWMHxo8fj7Vr18LHxwdXrlzBoUOHUFRUhPfeew+7du3q9fc55zgOQsIv\n",
"FT2txmTsLx+dNwu11DXJ8iwddxqYrBnnlpYWvPHGG8jKyoKHhwfeeOMNJo0DQF98tmUyGUaMGIGI\n",
"iAi89dZb8Pb2RnV1NRITE01vMJnN0rHW6XTYvXs3mpqa8MQTT3D48QDTl/9uu7u7Izo6Gg8//DAA\n",
"ICEhwexrkXmsEW/hb/TCwkL4+Phg8+bNCAgIgL29PSZMmICtW7fC09MTSqXSIrseMHEchIYPHw4A\n",
"qKurk6wnlAv1u+Pg4CD+Qnn9+vVu6926dQsqlQoymaxPJuiSPkvHnQYma8Z59+7dKC0tRUBAAP77\n",
"v/8b48aNM7+hZDF9/dl2dnbGY489BqBjniv1HUvH+vr16ygoKAAAHDhwANHR0V3+Ewj/L9Qn6+uP\n",
"f7eXLl0KoGOFXWF+HPUNa8R72LBh4uOVK1dCLtcfTGpvby/uxVxUVGRKcw3iUNVBSFitqby8XLKe\n",
"sJl3T6s72djYYPTo0SgpKcGVK1e6XZJfuJ63t3e3ywyT9Vg67jQwWSvOmZmZyMnJgYeHBzZt2gR3\n",
"d/detZMspz8+2zNmzADQMbytra2N2zb0EUvHWpjrJjXk7cKFCwCAadOmAQBX0u1D/fHZdnFxgZub\n",
"GxobG9HU1MTv+j5kjXj7+/uLj7v7sdfb2xuAZRZFZOI4CAUHBwPoWOCgtbVVb6ipoLq6GnV1dVAo\n",
"FEYNXQkODkZJSQlyc3Mxb948g3Vyc3MBwCKTb8l01og7DTzWivNnn30GAHjmmWfg4eFhsfZS7/XH\n",
"Z1uYY6PT6WBra9vr65FxLB1rQ3Pd7iT0Or766qvmNZrM1l//bt++fRsAOH+5j1kj3qNHj4adnR3a\n",
"2tqg0WgM1hHmQVqiU4dDVQehUaNGYezYsVCr1UhLSzNYJzk5GQAQGhpq1BspPDwcAHDu3DmDv1io\n",
"1WpxSJNQl/qWNeJOA4814lxUVISqqir4+/vj7rvvtmRzyQKsEfOamhpkZWWJe4DdSTju5+cHmYx/\n",
"KvQVfo8PLdaIt1qtRkVFBWpraw2Wl5SUQKVSwdXVldum9TFrxNvW1hZhYWEA0GWFbEFpaSkAWOSH\n",
"B/5rMEitWbMGABAfH99lDHtpaSlOnjwJuVyOVatWicfz8/PFOQ4ffPCB3jljxozBnDlz0NbWhkOH\n",
"DnV5vk8++QQNDQ2YMmWKuAQ09T1Lx50GJkvHuaSkBAC4t9cAZumY5+XlYceOHdi/f3+X59JqtTh2\n",
"7BgAYO7cuZa+FeoBv8eHFkvH+8aNG3j55ZexZcuWLts5tLe348iRIwDQ7egxsi5rfL6XLl0KmUyG\n",
"uLg43LhxQ6/s2rVrSE9Ph0wms0jMOVR1kJo5cybuv/9+JCUl4dVXX8XKlSvh7e2NkpISJCYmQqvV\n",
"IiYmBj4+PkZfc926dbh8+TLS09PR0tIiLuOcnp6OzMxMuLu7Y/369da6JTKCNeJOA4+l43zr1i0A\n",
"HcnEf/3Xf0nWfeihhzB9+vRe3wOZxtIxDwsLw8cff4yioiJs27YNERERGDFiBBobG5GcnIxLly4h\n",
"ICAADzzwgJXvjO7E7/GhxdLx9vX1xcyZM5Gbm4tNmzbh/vvvh6+vL5RKJZKSklBSUgJ3d3dxdVXq\n",
"W9b4fAcGBiIqKgpHjx7Fli1bsGLFCvj7+6O6uhpxcXFQqVTi8/QWE8dBbO3atRg2bBji4uL0flV2\n",
"dHTECy+80OWXh572i3F1dUVsbCz27NmDrKwsZGVliWXjx4/Hb37zG3h5eVn2Jshklo77nbj/48Bg\n",
"jTjX19ejvr5esg5/pe4/loy5i4sL/vCHP2Dnzp0oKCjospLmPffcg/Xr13MoZD+x9vc4DSyWjvdv\n",
"f/tb7N27F99//z3+9re/6ZWNGTMGGzduhLOzs+VugExijc/3ww8/DHt7exw9ehQHDhwQj8tkMjzw\n",
"wANYvXq1RdpuoxNmwNOg1djYiJycHDQ2NsLLywshISG93sOvpKQExcXF0Gq1CAwM5II4A5A14k4D\n",
"D+M89Fgy5u3t7cjLy0NVVRXa2trg6uqKoKAg+Pr6WrjVZA5+vocWS8f76tWruHjxIpRKJRQKBcaN\n",
"G4fJkydbsMXUG9b4fCuVSuTm5qK+vh4uLi6YPn26RXoaBUwciYiIiIiISBIXxyEiIiIiIiJJTByJ\n",
"iIiIiIhIEhNHIiIiIiIiksTEkYiIiIiIiCQxcSQiIiIiIiJJTByJiIiIiIhIEhNHIiIiIiIiksTE\n",
"kYiIiIiIiCQxcSQiIiIiIiJJTByJiIiIiIhIEhNHIiIiIiIiksTEkYiIiIiIiCQxcSQiIiIiIiJJ\n",
"TByJiIiIiIhIEhNHIiIiIiIikiTv7wYQERGZ4tixY4iLiwMAHD16tJ9bQ6Z44YUXUFdXh4iICDz/\n",
"/PN9/vxKpRLx8fHIyspCfX09HB0dERQUhJdeeqnP20JE9HPDxJGIaJDZu3cvvv32W7PP768/6gcC\n",
"qddOoVDAx8cH06ZNw5IlS+Dl5dXHraPeaG5uxpYtW1BbW6t3rPP/m6OhoQHPP/882tvbIZfL8de/\n",
"/hUuLi69bS4R0YDDxJGIaJCxtbWFTGZ4JoJWqxUfd1enu+PWlpaWhtraWowbNw6hoaH90obOOr8O\n",
"Wq0WKpUK5eXlKC8vx8mTJ/Hcc88hPDy8H1tIpvjiiy9QW1sLBwcHPPvsswgJCYGzszM0Gk2vrnv6\n",
"9Gm0t7cDADQaDTIyMvCLX/zCEk0mIhpQmDgSEQ0yv/rVr/CrX/3KYNm2bdtQUFAALy8v7Nmzp49b\n",
"Ji0tLQ2FhYWIiIgYEInj+++/D09PTwBAS0sLampqcPr0aaSkpECtVmPfvn2YOHEivL29+7mlZIys\n",
"rCwAwPz58zF37lzxuFxu/p9CWq0Wp06d0juWmprKxJGIBiUujkNENITodLr+bsLPkpOTEwIDA/HM\n",
"M88gMjISQEfv0p1JAw1cP/30EwAgICDAYtfMyclBXV0dFAoFQkJCAADl5eW4cquDd3UAABGESURB\n",
"VOWKxZ6DiGigYOJIRERkgnvvvVd8XFlZ2Y8tIVPcvn0bQO96GO+UnJwMAJg3bx4efPBB8XhqaqrF\n",
"noOIaKDgUFUiIjKotrYWGzZsAAA8//zziIiIQGpqKk6ePImqqiq0tbVh79698PT0RHR0NABg1apV\n",
"iIqKMni9tLQ07Nu3D8C/VkPNz8/HG2+8oVfvm2++wTfffCP+v6enJ/bu3dttO1taWpCYmIjMzExc\n",
"v34d9vb2GD9+PB544AHMnDnT/BegG8OHDxcfC3PbDKmursYXX3yBCxcuoL6+HnZ2dvD398ecOXMQ\n",
"GRkJe3t7se65c+fw7rvvAgDeeecdjB49Wu9aWq0WMTExaGlpwahRo/Dee+8ZfM7169ejvr4ezz77\n",
"LBYtWqR3fkZGBtLT03H58mXcunULzs7O8PHxQWhoKBYvXgxHR0e9a3WOTWxsLCZPnowvv/wSp0+f\n",
"Rk1NDdrb27usaltTU4OEhAT8+OOPaGxshJubGyZPnoyVK1dapKcvOzsbaWlpKCoqglKphIODA/z8\n",
"/BAaGopf/OIXUCgUevU7v4cF+/btE9+HgPmLQdXW1iI3NxcAsGTJEvj7+8PX1xfXrl1Deno6nnji\n",
"iW6TVFNe2ztXos3NzcWJEydw+fJltLW1wcvLC/feey9WrFghPt/Fixfxj3/8A8XFxVCr1RgzZgwe\n",
"fPBBzJ492+T7JCISMHEkIqIe6XQ6o1ZrtbGxMem6NjY24iI03S3cI9VDVFdXhzfeeEMchgh0DCG9\n",
"cOECLly4gOeeew4LFiwwqU09qaqqEh/7+voarJOcnIwDBw7o3ZNGo0FxcTGKi4uRmpqKzZs3w8PD\n",
"AwAwbdo0yGQyaLVa5Ofnd0kci4qK0NLSAgC4evUqamtru8ytvHr1Kurr6wFAL2FuamrCjh07UFRU\n",
"pFe/qakJTU1NKC4uxpdffonY2Fj4+fkZvB+1Wo233noLP/74Y7evy/nz57Fz5069xWbq6+tx5swZ\n",
"nD9/Htu2bev23J6oVCrs2bMH33//vd7xlpYWlJSUoKSkBF999RVeeeUVBAYGiuWG3l82NjZ671Nz\n",
"F4NKSUkBAEyZMgX+/v4AgIULF+Lvf/87mpubkZWVZVSiZsxrK0hOTsZHH32kd+zq1av47LPPUFFR\n",
"gd/97nf4+uuv8eGHH+oNSy8uLsZ7772HmJgYLF682JTbJCISMXEkIqIeHT9+HDU1NXj00UcRGRkJ\n",
"Z2dnVFVV9XrbgeDgYHzyyScAgNdff11cHMfYHqB3330XLS0t+PWvf43Q0FBotVpkZ2fjwIEDaG5u\n",
"xuHDhxEeHq7Xu9cbbW1tSEhIANCRgMybN69LndOnT4t/3N9999149NFH4e/vD6VSidOnTyMhIQGV\n",
"lZXYu3cvtm7dCgBwdHTExIkTcfHiRRQUFHRZXEXo2RJkZWXh/vvv1zsmJB5+fn7ioj46nQ5/+tOf\n",
"UFRUBJlMhjVr1mDu3Llwd3fHrVu3cP78eXz44YdoaGjAgQMHsGXLFoP3ffDgQdy4cQPr1q3D3Llz\n",
"YW9vj7KyMrH86tWrYtLo4eGBX/7ylwgJCYFMJkNRUREOHz6M3bt3m72CaeekMSwsDA8//DBGjx6N\n",
"5uZmZGRk4NNPP8XNmzfx5ptv4o9//KN4/15eXuL7S+gVX79+PSIiIsxqh0Cj0YjDUZcsWSIenz9/\n",
"Pj799FOx3JjEsafXVlBVVYXvvvsOgYGBWLduHcaPH4+qqirs2rULVVVVOHv2LP7+97/jiy++wLRp\n",
"0/DUU09h1KhRuHTpEnbv3o36+np89tlnTByJyGyc40hERD2qrq7G008/jUceeQSurq6wtbXFmDFj\n",
"ugwN7GsVFRXYtGkT5s6dC4VCAScnJ4SHh+Oxxx4D0NEjdfHiRbOu3bnHpqWlBVlZWdi6dav4R/1D\n",
"Dz2k17sFdPSwCUljaGgoXnnlFYwdOxZyuRweHh5YtWqVOHQyLy9PL0GYMWMGAKCwsLBLW3744QcA\n",
"wMSJEwF0DNm8k5A4CtcRrnXp0iUAHb1hy5cvh7u7OwDA2dkZERERWLZsGQDg8uXL3b4W1dXV+N3v\n",
"foclS5bAyckJcrlcbAsAHDlyBBqNBo6OjnjttdcQFhYGe3t7yOVyBAcH4/XXXwfQseehqbKzs8Wk\n",
"ccmSJdi4cSPGjBkDmUwGV1dXLF26FFu2bIGtrS2am5tx6NAhk5/DVJmZmWhqasKIESP0VgAeNmyY\n",
"+P8//PCDUffb02srKC0txciRI/Haa69hwoQJkMlkCAgIwLPPPivWOXHiBIKCgrBp0yaMHj0aMpkM\n",
"QUFBWLduHQBAqVTq9ZgTEZmCiSMREfXI09NzQPZUREZGYvz48V2OT5kyRXxcXV1t1rU3bNiA1atX\n",
"Izo6Gk8//TR27NiBy5cvw97eHo8//jjWrFnT5Zzk5GRoNBrI5XI899xzBq8bFhYmDm0UEkLgXwmf\n",
"UqlERUWFeFypVKKsrAwymQxPPvkkAKCgoAAqlUqs097ejoKCAr3rAMCoUaMQGxuL2NhYrFq1ymB7\n",
"Ro4cCQC4detWt6/F5MmTu50v2tjYKG51sWzZMoPDdx0cHLp9/p4IC9AMHz4cTz31lME6kyZNEnv+\n",
"zp07B6VSadZzmdqmRYsWdRnqKswt1Wq1enN1uyP12t7pmWee6TIX9d/+7d/EobcymQzr16/v0qbO\n",
"n5Ha2lqjnouI6E5MHImIqEd33XVXfzfBoLCwMIPHhV41AOLcQFPpdLou25cEBQVh165dWL58ucFz\n",
"Lly4AKBjiOqwYcO6vbYwh7Fz709gYKA49FdIAoF/9SROnDgREydOhKenJzQajd6cuOLiYqhUKtjZ\n",
"2eklzW5ubggODkZwcLDeoj4CrVYrJoyd52Pe6e677+62rPPcSan9N815D+l0OrHHNDQ0VHK+65w5\n",
"c7qcYw0VFRW4dOkS5HK53gJEgqlTp8LHxwdAx4JQPZF6bTvz8PBAcHBwl+NyuVx833S3r2jnIeXm\n",
"fh6IiDjHkYiIejRq1Kj+boJBdy4iI+g8p1EqIZIirBirVquxfft2XLp0CYWFhUhMTMTatWsNnnPt\n",
"2jUAwNmzZ8U5dVKam5vFxzY2Npg+fTrOnDmD/Px8cZ6jML9R6Em86667kJKSgqysLMyaNQvAv5LL\n",
"yZMnS87nVKlUyM3NRUFBAYqKilBZWWnUvMPuFs0BgOvXr4uPhYTJEGdnZzg7O0v2bN6ptbVVTHR6\n",
"eg8KvbgAcOPGDaOfw1RCb2NYWBhcXV0N1vn3f/93fPLJJ6iurkZRUZHBoacCqde2szFjxnRbJsS8\n",
"uzp2dnbiY6mVgImIpDBxJCKiHt05PM4c5iZwUpydnQ0eN3V1Vyn29vb4wx/+gK1bt6KqqgpJSUm4\n",
"5557MHXq1C51W1tbxec3pg13/hE/Y8YMnDlzRpyXqdPpxKRQGM4YEhKClJQU5OTkiOcZmt/YWXV1\n",
"NRISEpCZmQm1Wg0AsLW1RWBgIBwcHJCXlyfZTqn4dx4y6+DgIHkdBwcHkxLHztfuaT5t5+cW4mBp\n",
"KpUK6enpAICMjAxkZGT0eE5aWppk4mjsZ0tqISrhvdYXnwciGrqYOBIRUY+M/cNTKjns3Lv2c+Pk\n",
"5ISYmBhxS4mjR48aTBwVCgVaWloQExODyMhIk5/nznmOWq0WjY2NcHV1FRfimTp1KuRyORobG1FS\n",
"UgI/Pz+UlJTond/ZqVOn8NFHH6G9vR0ODg6YO3cuZs2ahenTp0OhUCAtLa3HxFEq/p17OFtbW+Hk\n",
"5NRtXVOHSXZOqno6t3OyKNWG3vj222/1klljnDlzBmvXru22J9jYz5Yx24bY2tqa1DYiIlMwcSQi\n",
"ol4T9iC8fft2t3XKy8slryH8AT1Qh9IFBwcjLCwMmZmZKCoqQk5OTpd5ez4+PigrKxOHrJrK3d0d\n",
"AQEBqKioQH5+vvh6Tp8+Xaxjb2+PKVOm4IcffkB2djbq6+uh0+nEczurqanB/v37odPpMHbsWGze\n",
"vBlubm56dXqb0AtbXwAd23JMmDDBYL2bN2+anHQ5OjrCzc0NjY2NPb5/OpdLDZntDWHvxujoaCxc\n",
"uFCybn5+Pnbt2oXW1lZkZmYa3LqFiOjnhIvjEBFRrwk9PDU1NQbLhe0spAi9S+Zs2dBXoqOjxQRX\n",
"2B+ws2nTpgHo2K5Bau6gVqtFe3t7l8V3gH/1Gubn54urrt7ZkygkrFlZWeIw1c7JpSA3N1d8jl/+\n",
"8pddkkZAf2VXc0yaNEl8fP78+W7rCVtqmEp4Tc+fPy85BPXbb78F0JFYd26TpVy8eBEVFRWQy+WI\n",
"jIyEm5ub5H+zZ88Wh5cas0gOEdFAx8SRiIh6TVikJi8vr8scNp1Oh48++qjH3iZhkZDS0lLJnsv+\n",
"5Ofnh/DwcADAlStX8N133+mVR0ZGQiaT4caNG+J+jndqa2vD+vXr8dhjj+Hw4cNdyjsnjpcuXYKN\n",
"jU2X7RqExLG8vBznzp0DAINbOnR+HQ2tSHrmzBm91VmF+Y+mcHd3F5PWr776yuCPB0qlEvHx8SZf\n",
"G4C4z2RLSwv+53/+x2Cd7OxsceuLefPmWWV/UWFRnJ5WzBXY2tqKq/7m5+frLSJERPRzxMSRiIh6\n",
"TfgDWaVS4c0330RZWRk0Gg0qKirwzjvvICMjQ3KBEACYPXs2gI65au+88w6qqqqgVqtRUlKil9z0\n",
"t6ioKHG+2bFjx/TmdXp5eYmrqZ4+fRpvvvkmCgsLoVaroVarUVxcjO3bt6OhoQE2NjbiFhKdBQUF\n",
"wd7eHi0tLWhvb8fYsWO7rN7p4+MjDsdsbGyETCYz2OPY+TXft28fioqK0N7ejuvXr+PIkSN4//33\n",
"9Vb1NHerhieffBJyuRwqlQqxsbE4c+YMVCoV1Go1srOzsXXrVowYMQIeHh4mXzswMBArV64E0JHo\n",
"vv322ygrK0N7ezsaGxvxj3/8A++++y6Aji0rDO2v2VtKpRJnz54FgB6HqHYm/MgAsNeRiH7+OMeR\n",
"iIh6bdGiReKwydLSUmzatEkss7GxQVRUFDw9PfX2/LvThAkTEBkZiZSUFPz444946aWXxLKIiAiD\n",
"iVF/GDlyJCIiIpCamoqamhqcOnVKbyGcFStWQKVSISEhAT/++KPBpFcmk2HNmjUG5wPK5XIEBwd3\n",
"2YbjTnfddReSkpIA6O8B2VlQUJA4L7O6uhpbt27Ve56YmBi4u7tjx44dADqGGhva77EnAQEB2Lhx\n",
"I/785z+joaEBu3bt0isfMWIENm7ciNjYWJOvDQCrV69Ge3s7EhMTkZOTo7eirGDkyJHYtGmT5Oqj\n",
"5kpNTYVGo4Gnp2e38TAkKCgII0aMwI0bN/DNN98gKirK4m0jIuorTByJiIYQay3LL5fLsWnTJqSk\n",
"pCA1NRVXr16Fvb09JkyYgAcffBBTpkwxqsclJiYGI0eORFpaGn766SfIZDJ4eXnp9ZxZc2sBY6+9\n",
"atUqpKenQ6PRID4+HvPnz9fbK2/16tUICwvDV199hfz8fHHepoeHB4KCgrB48WJxlVRDZsyYISaO\n",
"hoagAh3bcgiJo1Qy8+KLL2LcuHFITU1FXV0dXFxcEBwcjJUrVyIgIADV1dVi3StXrmDy5MkmvRaC\n",
"e+65B++88w7i4+Nx4cIFNDU1wd3dHbNmzcKKFSuMGt4p5fHHH8fs2bPx1VdfobCwEA0NDXBwcMCo\n",
"UaMQFhaGxYsX68XAUnQ6Hb7++msAwPz5800+/7777kNiYiKuX7+OvLw8TJ06ldtjENHPko3O0Mx8\n",
"IiIiIiIiov/HOY5EREREREQkiYkjERERERERSWLiSERERERERJKYOBIREREREZEkJo5EREREREQk\n",
"iYkjERERERERSWLiSERERERERJKYOBIREREREZEkJo5EREREREQkiYkjERERERERSWLiSERERERE\n",
"RJKYOBIREREREZEkJo5EREREREQkiYkjERERERERSWLiSERERERERJKYOBIREREREZEkJo5ERERE\n",
"REQkiYkjERERERERSWLiSERERERERJKYOBIREREREZGk/wMxCOnLve3AqgAAAABJRU5ErkJggg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11b980790>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 455
}
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(armrewards1, pulled_count1)\n",
"plt.title(u'Pull counts of Thompson Sampling')\n",
"plt.xlabel('Truth Reward of Arm')\n",
"plt.ylabel('Count')"
]
},
{
"cell_type": "code",
"execution_count": 191,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x112c40d50>"
]
},
"execution_count": 191,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA38AAAKTCAYAAACpRrHCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3XlYVGX/P/D3GYZVRUQwUFRERUVF3HN5VFzISCV3ycwl\n",
"s7TM7DGzX5pamVvl0teKtNxyS9P0+RruZC6477igIooBIm7IzjD37w++c54ZZmHY0fN+XRfXNZxz\n",
"n/usc858zr1JQggBIiIiIiIieq6pynsDiIiIiIiIqPQx+CMiIiIiIlIABn9EREREREQKwOCPiIiI\n",
"iIhIARj8ERERERERKQCDPyIiIiIiIgVg8EdERERERKQADP6IiIiIiIgUgMEfERERERGRAjD4IyIi\n",
"IiIiUgAGf0RERERERArA4I+IiIiIiEgBGPwREREREREpAIM/IiIiIiIiBWDwR0REREREpAAM/oiI\n",
"iIiIiBRAXd4bQEREgEajwaFDh3DlyhV07doVTZs2Le9NIiIioucMS/5I8WbNmgWVSgWVSoXZs2cb\n",
"zdfNU6n4daGSl5ubi8WLF6N27dro0aMH3nvvPTRv3hxeXl7lvWm89qlUZWZm4pdffsGgQYPg4+MD\n",
"Z2dn2NrawtXVFa1bt8Z7772HkydPlvdmVnj8nj5bVq1aJZ+v0aNHl/fmkALxTkFlqlu3bgYPKv0/\n",
"W1tbVK1aFfXq1UOPHj0wffp0XLp0qUy3T5KkIs0jKgqNRoN+/frhww8/xL179wzmJSQkWJXHX3/9\n",
"ZfY7VZS/gwcPGq2D1z6VtD179sDHxwdjx47F1q1bERsbi9TUVOTm5uLx48c4e/Ysvv/+e7Rv3x7j\n",
"x4+HVqst702u8Ex9Twt6uUmWlXZgzXsrlQdW+6QKIzc3F0+fPsXTp09x+/ZtREREYO7cuZgyZQrm\n",
"z59f3ptHVOK++eYbhIeHAwCqVq2K4cOHo2nTplCr1UhLSytUXpIkQQhRrO2RJIk/RqjU7dixAwMG\n",
"DJADOi8vLwwaNAgNGzYEAMTFxSE8PBznz58HAISFhcHT0xOfffZZuW3zs0r3feZ3u3h47Oh5wuCP\n",
"yk2/fv3Qr18/+X+NRoOHDx/i4sWLCA8Px+PHjyGEwMKFC1GpUiU++BVi1KhRWLNmDQAgIiICXbt2\n",
"LectKj0//PADAECtVuPQoUNo1qxZofNo3Lgxli9fbvbHiRACb731lvz//PnzUb16dbP5+fr6Fnob\n",
"iKyVnJyMkSNHyoHf22+/jaVLl8LW1tYg3VdffYXx48cjLCwMAPA///M/mDFjBn+EF1K/fv3g5eUF\n",
"SZLQqlWr8t6cZ46le6uOUp5Z3bp1w99//w0AiI2NRZ06dcp5i6ioGPxRuWnVqhXGjBljcl5aWhre\n",
"fvttrF+/HgAwd+5cjB8/Hu7u7mW5iVSOnvc31QkJCbhz5w4A4MUXXyxS4AcAHh4eePPNNy2m0QV/\n",
"kiRh6NChfGhTuQkLC8OTJ08AAD4+Pli2bJnZKnUTJ07EsWPH5PtASkoKqlatWmbb+jxo2bIlWrZs\n",
"Wd6b8cwq6N6q73l/ZukoYR+fd2zzRxVSpUqV8NNPP8HFxQUAkJWVhZ07d5bzVlFZKm4Vxorun3/+\n",
"kT97e3uX34YQlaF9+/bJn4ODgy22pfLz88PZs2dx5swZnDlzhoEfVWjP+zOLnh8M/qjCcnJywosv\n",
"vij/f+3atXLcGioPz/PDVL9Nn42NTTluCVHZiY+Plz9XqVKlHLeEqOQ9z88sfUrZz+cVgz+q0Fxd\n",
"XeXPjx49kj8Xtqtkb2/vCtEVdnJyMubMmYMuXbrAw8MDdnZ2cHFxQUBAACZPnozr169blc+1a9cw\n",
"depUtG7dGm5ubrC3t0fNmjURFBSE7777DhkZGRaXL0wPZvq9xa1evdpgXmxsrDyvXr168vS//voL\n",
"Q4YMgbe3N+zt7eHm5oagoCC5Gm9+o0aNkvPRtZ0AgMDAQKPeKPNvg87Tp0+xePFiBAYGwt3dHba2\n",
"tqhcuTIaNGiA1157zWQvlkV16tQpTJw4Ec2bN0e1atXg4OCA2rVrIyQkBKtWrUJubq7ZZXU93gYG\n",
"BsrTVq9ebbSf+vMrkjNnzmD06NFo0KABHBwcUK1aNXTp0gU//PADNBqNVXkcOHAAY8eORaNGjeDs\n",
"7AxHR0d4e3tj2LBh+P333wtc3tT1u2PHDvTp0wc1a9aEg4MD6tWrhwEDBuDAgQMGywohsHnzZvTo\n",
"0QM1atSAk5MT/P39MXfuXGRmZppcn/71qbv+UlNT8fXXX6Ndu3ZwcnKCs7MzAgIC8Nlnn+Hhw4cF\n",
"7oNuO1599VV4eXnB3t4ejo6OqFWrFoKDg7F69WqrfmA9evQICxYsQGBgIDw9PWFvbw93d3e0b98e\n",
"M2bMMChhNsVUb5Dp6elYtmwZOnToADc3Nzg4OKB+/fp48803cfny5QK3yZLKlSvLn0+cOFGsvPQd\n",
"PHgQo0aNgq+vLypXrgwnJyfUq1cPr7zyClasWGGxAyX954OuKvbff/8tV5HWfb979+6NrVu3Gi2/\n",
"Z88e9O3bFzVr1oSjoyMaNWqEadOmydVb8zN1zLOzs/HTTz+hS5cucHZ2RqVKleDn54d///vfiIuL\n",
"K/Jxsba3TyEENm7ciL59+8rXUc2aNREcHIyVK1fK16KlZ0dZXUtjx44t8HkAANOnT5fTFdQOLzQ0\n",
"VE6r3/Oyuf0tiWeWvtzcXKxZswbdu3eHh4cH7O3tUbt2bYSGhuLYsWMFLm+N48ePY8yYMfD19UWl\n",
"SpVgZ2cHNzc3dO7cGV999RWePn1qtIx+D+269n5CCNSrV8+qnqJ1hBDYtm0bhg8fjvr166NSpUqo\n",
"XLkyfH19MWbMGIMaAaaY+s2n1WqxadMmvPTSS3B1dYWjoyMaNGiA8ePHF/s+9dwTRGWoa9euQpIk\n",
"IUmSmD17doHpg4OD5fSffPKJPH3lypXy9NGjRxeYj7e3t5AkSahUKqN5M2fOtLhNunmmli2MVatW\n",
"iSpVqsj5mfqztbUVixcvNpuHRqMRU6ZMEWq12mI+NWvWFHv37jWbT2H2SXd8VCqVWL16tcG8W7du\n",
"yXnVq1dP5ObmikmTJlnctsGDBxutY9SoURaX0d/e/NsghBCnT58WdevWLXD5L774osD9tSQ9PV28\n",
"8cYbBa7H19dXnD171mQe3bp1s2pfAwMDi7Wt+vSP3+3bt4u0nBBCzJ8/X9jY2Jjd5s6dO4vMzEyz\n",
"+SUnJ4vevXsXuO9t27YVsbGxVm/Xv//9b4v5LVmyRAghRFpamhg4cKDZdK1btxaPHz82Wt/IkSMN\n",
"rr/z58+LWrVqmc3H3d1dREREWDwO1lwHffr0EVlZWWbz+fXXX4WLi4vFPBwdHcXXX39tNo/897+Y\n",
"mBjh7+9vNj97e3uxZcsWs/kVZNy4cQb57d+/v8h5CSHE48ePRf/+/Qs8lrVq1TK7Lv3nQ2xsrFi8\n",
"eLFQqVRm8/rwww+FEHn34/fee89sunr16ok7d+4YrS//MY+LixN+fn5m86lcubLYuHGj2WOQ//tg\n",
"aV2m3Lt3T3Tq1Mni8QsNDRVarbZQ6yqta2nz5s1yHqNGjTKbrk2bNnI6W1tb8ejRI5PptFqtcHd3\n",
"F5IkiZYtWxrMM7e/xXlm5f/9cv/+fYv3A5VKJd/DiiI3N1e8//77BW5rgwYNjJ4P1j6vVCqVOHjw\n",
"oMn137p1S7Rt27bAPHr37i0ePHhgMo/8x+zJkyfiX//6l9m87OzsxKJFi4p8zJ537PCFKqycnBwc\n",
"P35c/t/Pz6/IeYlyrqKwYsUKjBs3Tv7f29sbgwYNQr169ZCamopLly7h999/R3p6OiZPngy1Wo13\n",
"333XIA8hhFHJyIsvvojg4GBUr14d169fx6ZNm5CQkICEhAQEBwdj8+bNCAkJKZF9KOgYCiEwffp0\n",
"LF26FC4uLggNDUXTpk2RkpKCrVu34tSpUwCALVu2YMWKFRg7dqy87JgxY/Cvf/0LQgisXLkSR48e\n",
"BQB89NFHaNSokcF6OnbsaPD/zZs30b17d6SkpAAA6tSpgyFDhqBOnTp4+vQpjh49ivDwcGi1Wnz2\n",
"2Wdo164dgoKCCr3/WVlZ6NmzJyIjIwHkNXrv2bMnunfvjsqVKyMqKgqbNm3Co0ePcP36dXTp0gV7\n",
"9+5F+/btDfL56KOPMGLECFy9ehVff/01AKBTp05GJdienp6F3sbSIoTATz/9hGnTpsHR0RFDhw5F\n",
"q1atkJWVhfDwcLl07ciRI/jiiy/w5ZdfGuXx8OFDdOjQATdu3ACQ18Np37590bFjR9jZ2eH06dPY\n",
"smUL0tPTcerUKbRv3x5Hjx6Fj4+Pxe1avnw5vv32W9ja2mLo0KFo164d7t27h+XLlyMpKQlA3jF/\n",
"6aWXMH36dGzduhVeXl4YMWIEatWqhcOHD2Pjxo0A8ko1FyxYgDlz5phd35MnT9C3b1/Ex8ejZcuW\n",
"GDhwIKpVq4aYmBhs2bIFt2/fRnJyMl555RX8/fffaN26tUEe2dnZCAoKwtmzZwHkVX0cNmwYGjdu\n",
"DAC4ePEiNm/ejLS0NOzcuROzZs3CV199ZbQt3333HSZNmiT/X69ePQwaNAje3t5ISkrCtm3bcOHC\n",
"BWRmZuKjjz5CYmIiFi5caPZYAnkdqrz88suIjo6Gv78/Bg4cCHd3d1y/fh2rV6/Gw4cPkZ2djTff\n",
"fBOBgYEGNTOs9dZbb2H58uXy/wMGDMCCBQvk0pzCSE9PR48ePXDmzBkAgLOzM0JDQ+Hr6wsHBwfc\n",
"unULmzdvxu3btxEfH48BAwbg0qVL8PLyMshH/962e/duTJ48GZIkISQkBIGBgXj69Cl++eUX3Lp1\n",
"CwCwaNEi9OnTBzt37sSyZcvg6uqKN954Aw0aNMCFCxfwyy+/QKPRIDY2FtOmTcO6devM7kNOTg76\n",
"9++PK1euwNfXF0OHDoWnpyfu3r2LP/74A5cvX0ZaWhqGDx8OJycn9O3bt1DHyJpj2KVLF0RHRwPI\n",
"u68FBwcjMDBQ/l7+9ttv2LhxY6E6pSrNa6lnz56wsbFBbm4u/vrrL5NpkpOT5esCyOtNPDw8HKGh\n",
"oUZpz507h+TkZADASy+9ZNU2FOeZpS8nJwcDBgzA4cOHUb9+fQwdOhReXl6Ii4vD2rVrcffuXQgh\n",
"MGXKFAQFBcn3icKYNGkSli1bBiCviUG/fv3Qpk0bODs7IyYmBps2bUJ8fDxu3ryJYcOGyfui258R\n",
"I0bIPa/rrhNTvUab6in65s2b6NixI+7fvw8AcHR0xIABA9CmTRsIIXD06FH88ccf0Gg02L17Nzp2\n",
"7IjIyEhUq1bN7P4IITBy5EgcPnwYtWrVwvDhw+X73p9//okTJ04gJycHH374Iezs7DBhwoRCH7Pn\n",
"XnlEnKRchSn5+/nnn+W0Dg4OIjk5WZ5X2JI/XalQeZT83blzR1SuXNlge029zY+KihJOTk5CkiTh\n",
"7OwsMjIyDOYvWrTI4I3p2rVrjfJITU0VQ4YMkdO5uLiYLOkpzD7pHx9LJX/29vZCpVIJf39/kZCQ\n",
"YJTP2LFj5bStWrUyuz5dKYskSWbfJOobPHiwnH7YsGFCo9EYpVmzZo28v6+99lqBeZqiX6Lp4uJi\n",
"smQ1KSnJ4E2pt7e3SElJMZnfX3/9VahruDj0z3dRSv5030EvLy9x9epVo3Sff/65nM7d3V3k5uYa\n",
"pQkJCZHTeHl5iTNnzhiliYmJEc2aNZPTtWnTxmRe+ttVtWpVUa1aNXHs2DGDNHFxccLNzU1OV7t2\n",
"bSFJkggKCjI6JytWrJDT+fr6Gq1P/5qsU6eO2XtFVlaWGDNmjJy2WbNmRtfjsmXL5Pl+fn4iKSnJ\n",
"5HGwtbUVKpVK1KxZ02j+iRMnhK2trZzPBx98IHJycozSLViwwOBYbd++3SiN/vfbwcFBSJIkpk6d\n",
"apQuPj5eeHl5yWmXLl1qlMZapkohGjduLNauXWvyfJszdepUg/Ni6lhmZGSIjh07Wtxu/VoDVatW\n",
"Ffb29kbH6smTJ8LX19foegoICBCJiYkGaffs2SOXkFeuXNno3Ogfc931NG7cOKN0Wq1WzJgxQ07r\n",
"4eFhsmTa0v28oOfblClT5PlOTk4iPDzcKM2tW7dE8+bNhb29vdXrKu1rqUOHDvJ23Lp1y2j+unXr\n",
"DEqBJEkye++fP3++nDZ/ib01z8rCPrP0f7/ojtPrr78usrOzDdKlpKSIli1byml1Jc6FcenSJXn5\n",
"KlWqiMjISKM0GRkZomnTpvJ+RkdHm8xL9/vN2ueIRqMRrVu3NrgfxsTEGKU7e/asQU2K/v37G6XR\n",
"P2a670zfvn1FamqqUdoff/xRLrl3cnIyuU6lY/BHZcra4O/EiROiWrVqZm96z1Lwp/8DpVOnTkKr\n",
"1ZpNGxoaKjw8PISnp6e4cOGCPD09PV1Ur15dzmflypVm88jNzRWBgYFy2nfffbdY+2Rt8KcLisw9\n",
"FO7evSunU6vVIi0tzWS6wj5Iq1atKu9LfHy8yTQ5OTni2rVr4tq1a+Lu3bsF5mlq23U/tm1sbCxW\n",
"VUtLSxNNmjSR92HhwoUm00VERBTqGi4O/fNd1ODPzs5OnDx50mS6rKws+QWHSqUSly9fNph//Phx\n",
"OZ9KlSoZzdeXmJgoatSoIaffvHmzxe1SqVQmf7AKIcTEiRMN0jZs2NDsdaf78aFSqYyCQ/1rUpIk\n",
"8dZbb5nd/tzcXIOqbvmDCP0geP369WbziYmJEdeuXTP5Q+zll1+W8xg5cqTZPIQQ4rPPPjP48ZWf\n",
"/vdbkiTx6quvms1rzpw5crohQ4ZYXK8lGo1GDBs2zCgAlKS8qpJLly4V6enpBeajf85++OEHs+n0\n",
"A4HJkycbzc9fZfzHH380mc8333xjkM7Nzc3sPUcXcKpUKnH+/HmDefmP+UsvvWRxP/WbP5iq/lfU\n",
"4C81NVU4OzvL81esWGF2G+7evWuQtqB1lfa1NGvWLHn5X375xWj+iBEjhCTlNYEYOnSokCRJuLq6\n",
"mny50LNnTzk4yh+Al3bwJ0l51dxNvbQUwvDabdeuXYF556f/0njcuHFm0yUkJMjPyPwvnnUKG/xt\n",
"2rRJXreHh4e4d++e2bRRUVHC0dFRTp//WZP/mPn7+1usEj9hwgSL33mlY4cvVG6EXlWb1NRU3Llz\n",
"B9u3b8fo0aPRuXNnPH78GADQtm1bk9XInhX6VX6++uori2PkrF+/HgkJCYiPj0fz5s3l6du2bZM7\n",
"kWjbti1GjRplNg+VSoXvvvtO/n/16tVWd8RRXBMnTjQ7hlytWrXg4eEBIK+htq4KVXHpOlcRQhg0\n",
"1NenVqvh6+sLX19f1KpVq9Dr0D+GAwYMQPfu3c2mdXJyMqhep1/F7Vk2dOhQtGnTxuQ8Ozs7+XoV\n",
"QiAmJsZg/ooVK+TPEyZMQJMmTcyu54UXXsBnn30m/1/Q8evbty969+5tcl6LFi0M/l+wYAGcnJxM\n",
"ptXfJl2nH6Y4OjpiwYIFZuerVCq899578v8bNmwwmK/fGZC56xXIq8bp6+uLhg0bGkz/559/sGvX\n",
"LgCAg4MDvv32W7N5AMCMGTPk711UVJRcbdnctuuqIpuif/7zn+PCsLGxwYYNG7B06VKj4RtiY2Mx\n",
"adIk1K9fH8uWLZMHgzdlx44dOHXqFE6ePInhw4ebTVezZk35c2pqqsVta9GiBd5++22z8/R9+umn\n",
"Zqtn65opCCEsdtgiSRIWL15scZs++OAD+XP+66k49uzZI3fy0ahRI4tj2tWqVcugqn5BSvta0q+e\n",
"mb/qpxACe/bsAQAEBQXhlVdeAQA8fvwYR44cMUibmZmJw4cPA8jr3EStLvvWUPPmzTPb47N+tfGi\n",
"HCdr7zceHh7yM9LBwaHQ6zFF/74/Y8YM1KhRw2xaPz8/g6YuBd33FyxYADs7O7PzS+s787xg8Efl\n",
"Zvbs2XLvTc7OzvD29kb//v2xevVq5OTkAAB69+6N8PBwODo6lvPWFk1cXJzctbmbmxu6dOlSpHx0\n",
"vWwBMNlmIb+mTZvK7TPS09MN2j6UpiFDhlicr/uhJISQ2+gVV7du3eTPAwYMwLZt2yz+YCwK/eP/\n",
"2muvFZg+ODhY/lF748YNue3Zs8zacwvA6Nzqjp8kSVYdP/1r/NixYxbPp6Uf/S+88IL82dnZGf36\n",
"9TObVtfGRAhhstc7nV69esnjj5rTs2dP+bN+u2XA8Hr99NNPsXjxYovry+/QoUPy56CgoALbSqnV\n",
"agwaNMjk8vkFBASgfv36ZudbOsdF8d577+H69ev4f//v/xntR2JiIiZOnIhWrVqZ7bmvVatW8p+1\n",
"w0YU9CLM0vWpfz1JkmTx2tNvs2Tp/DZv3rzAdlxdu3aVg5Jz586V2Mu8kydPyp/79+9fYPpXX33V\n",
"6rxL+1pq166d/D3MH/ydP39evuf27t1bfjkkhMD//u//GqQ9dOgQsrKyAFjf3q8kVa9e3eLLRP0X\n",
"F0U5Tvq9nO7YsQMTJkwoVu+x1tJoNHLbQUmSrPrdop/G0n2qWrVqBZ6rhg0bonbt2gCApKQkiy/0\n",
"lIjBH1UokiRBrVajc+fO+O233/Dnn38WqVOBikJ/bML8b40LQ//HT/4OJMzRpRNClEm3x3Z2dmja\n",
"tKnFNPqlLroAv7gWLFgAZ2dnAHmlBgMHDoSXlxcmTJiAP//8E+np6cVeh+74SZJk1fGXJAkBAQEA\n",
"8o5/VFRUsbehPOnvjznmzm1ubq7cSYCtra1BibY5rq6uqFu3LoD/1gowt13mSiMBGLzBbtGihcUO\n",
"Rezt7U1uf36tWrUyO0+nbt26sLW1BQDcvn3b4O37+PHj4e/vDwDIyMjAhx9+CE9PTwwZMgS//vqr\n",
"xbfzQPHuBfmXz6+o57g43Nzc8OWXXyIuLg7ff/+9UWcZFy5cQPv27Y1KbCzJyclBZGQkFi9ejDFj\n",
"xhiUxBbE2uvJy8sL7u7uZtOW5PVkZ2cHb29vAHkdBt2+fbvAZayhX5KkuyYtKUyna6V9LalUKvkl\n",
"y927dw32RVcybmNjg6CgILi7u8vnNX/wt3fvXgB595LyCP4K+l2gf5yKEvS3adPGoMT2xx9/RL16\n",
"9RAYGIilS5eW2vjJd+7ckZ+93t7eFjtw0WnevLn8kiM6OtpsJ3PW/pbS3UuEEFYPo6UUDP6o3PTr\n",
"1w8rVqzAihUr8Msvv+D333/HwYMH8ejRI/z9998Gb6ufVfpjE7q5uRU5H12VT0mSLFad0Kf/w0R/\n",
"O0pLtWrVLFZpBUpnMPMmTZrg0KFDBj82EhMT8eOPP6JPnz5wdXVF//79sX///iKvQ3/ctqIcf10V\n",
"5meZpR+6gPlzq3/tVatWzeprwNrrV1el0RT9KlyW0gGG22/uRwdg3flXqVQG1Rn1z7+TkxMiIiIw\n",
"cOBAeVp6ejq2bNmCN954AzVr1kTHjh2xcuVKkz/2instWjqWRT3HJcHR0RHvvPMOLl++jA0bNhiU\n",
"GqWlpWHw4MEWSz7S0tKwbt069O3bF9WqVUOnTp3w4YcfYtWqVVa//JIkqUJeTwDkUi4hRIndT/Tz\n",
"yd9zoyn5q+haUhbXki5YE0IgIiJCnr57924AeYGPLugIDg4GAFy9etWgyYGueqi3tzcaNGhQ7G0q\n",
"rLI4TmFhYZgxY4ZcTVKr1eLgwYP44IMP0KRJEzRs2BBffPGFVeOTWqso9ylbW1urrvPCfmeA5+MZ\n",
"XJIY/FG5adWqFcaMGYMxY8Zg1KhR6N+/Pzp37oxKlSqV+Lp01TrKmv4bzeK0JcjOzi50PrqSh/zL\n",
"F5a1x648q+Y2b94cp0+fxu+//47evXsbHKPs7Gxs374dvXr1woABA4pUEliex7+i0C/JKIyiHDvg\n",
"v8dPCGHx+Fl73ZXUfcVSOxNz6fKXbFSrVg2bN2/GiRMnMHLkSLnkGsjb32PHjuHNN99EQECAPDSG\n",
"TmleixWher0kSRg6dCiioqIMumhPTEzEzz//bJQ+Ozsbc+fORd26dTFixAjs3LkT6enpkCQJTZo0\n",
"wfvvv48ZM2ZYvX5rr5OKdD2VlYyMDKvTlsW1pN/WV1f1MzU1VS4l1i/J0wV/+lU/k5KScOHCBaO0\n",
"ZaksjpMkSZg9ezZu3LiBjz/+WK4OqXPz5k3MnDkTvr6+2LlzZ4mss7j3/fx56HuWvjMVFYM/euYV\n",
"1L6rJN+UFpb+m9InT54UOR/dW9nC7Ev+EpeiKotSw5IgSRL69++PP//8E4mJiVixYgUCAwMNSiP/\n",
"+OMPg85ErKX/Vrysj/+zTr/admG+h7rjJ0lShTp+1rbP0+9YxFyJSZs2bbBy5Urcu3cPf/zxB0JD\n",
"Qw1+DF6+fNmoDVpRjuezeC3a2dnhu+++Q7t27eRpuhIdnadPn6JTp0749NNP8fDhQ0iShPbt22PJ\n",
"kiWIjY1FVFQUFi9ejMDAwLLefKsV9nqSJKlQJXCW6N/XrCn1SUxMLJH1lpRatWrJVVF1wd+BAweg\n",
"0WggSZJBcNi2bVu59o0u+Nu3b58831ynUc8TLy8vzJ07F7dv38aRI0fwwQcfGLRjffjwIYYNG1Zg\n",
"1XNrFPW+r5/W3L2qJO/BSsXgj55J+lUhCirJuXnzZrmV/OkPJlycdnf6PWheunTJqmX025np2k/p\n",
"6AdEBR0/a9dXUvS3rahv61xdXTFmzBjs378f0dHRBlXsli1bVqg32MB/j78QotDHX5Iko+OvJA4O\n",
"DnLVpvT0dKvaK2VlZcklXiqVqkg9tJYWXftFS5KTk+Uqis7OzgW+3be3t0e/fv2wbt06/PPPP5g5\n",
"c6b8PTh16pRBlTb9a6kk7gUVmSRJBoOa52/7+fHHH+P06dMA8joQ+fvvvxEZGYmJEycalG6UVOdS\n",
"pcGa6yl/D7rmehgtLP1BuXUlYJbojnVFoiuxi4+Px40bN+QXBNWqVUP79u3ldPpt+v7++2+kpaXJ\n",
"7f1sbW0tdrpSkJJ4ZpW1Dh064Ntvv0VcXBzWrFkjB2tpaWn4/vvvTS5TmP2sVauW3Mb6xo0bVh2X\n",
"W7duyc/mGjVqmC3hs+Y7o1uvTkl9Z54XDP7omaTfs5uuN01zwsPDS3tzzGratKn8wy8mJqbIwxv8\n",
"61//kj9bUy3jwYMHci+DKpUKHTp0MJhv7fF78OCBQY9wZUG/gXtxSkt16tevjw0bNshtdLKzswvd\n",
"yL2wx//RQoeMAAAgAElEQVTSpUtyj2qurq5GnVgoje74CSGsOn579+6V27v5+/uXSlXworLUC52O\n",
"fu+w1nbKouPi4oKZM2diwIAB8rTz58/Ln/WvxT179hh0JmOO/jHv2LFjobanJN29exeHDx/G4cOH\n",
"jaqzmqNfOqX/Y1AIgbVr18r///LLL+jUqZPJPM6ePVvELS59x48fL7Ajj7Nnz8qlGPXq1Suwt1lr\n",
"6fc+vWPHjgLTb9q0qUTWW5L0q2tGRETIwV/Pnj2N2qDrqn5mZ2djz549cvDXoUMHVK5cucjbUNLP\n",
"rLKkVqvx+uuvY/bs2fI0/fuNvsLsZ5UqVeR2+FlZWfKxtsTa+1R0dDTu379vMa/79+/j6tWrAPJe\n",
"QFrT0ZiSMPijZ5L+W5xLly6ZfXhmZmYajHlX1tRqtcHDqaAxuX799VdMmzYNn3zyCe7evStP79+/\n",
"v1wXfvv27QWWIn7zzTdyffmePXsatCkCDIdcsDQMxOLFi8v8TaZ+NZSC3vAlJiZi165d2LVrl8Xe\n",
"vNRqtUHD+sKOYzR06FD5888//1zg0A1fffWV/Fm/1FGp9I/fokWLkJmZaTatVqvFvHnz5P8HDx5c\n",
"qttWWJcuXSqw58kffvhB/vzyyy/Ln7Ozs+XrNf8QEPnpd/Guf702a9ZMruqWkJCAX375xWI+e/bs\n",
"kb/jrq6uBsNQlLXff/8dXbp0QZcuXTB16lSrltG/19WrV0/+nJSUhLS0NAB5JRL6Q2joy8rKMjhG\n",
"hS31L20PHz4sMKjSL4nRv56Kq1u3bnIvolFRUdi2bZvZtAcPHsT27dtLbN0lpUuXLnBwcIAQAitW\n",
"rJBLSE1V43zppZegUqkghMDXX38tv/gsbnu/wjyzytqhQ4ewa9cu7N6922LHQ+buN/p0+ymEsGo/\n",
"9e/7c+fOtZg2PT3dYLxLS/f93Nxc/PTTTxbzCwsLk5sE9ejRo1Q7q3oWMfijZ1JAQIAcDKWkpGD9\n",
"+vUm002cONHqN8ylRX/g0h9++MFsyUdmZiamT5+OBQsWYMGCBQYNn2vVqoXRo0cDyKtuMXToULNt\n",
"8f788095kHFJkkz+yNJvRxMWFmYynwMHDmD+/PkF7F3J0+/63NKPESCvqlJwcDCCg4MxefJks+m2\n",
"bt2KixcvAsjrXa2wJXFt27ZFUFAQgLz2U6GhoWarEv/000/YuHEjgLzqRB9++GGh1vU8GjhwoDyI\n",
"+s2bN/HWW2+Z/SEyffp0eXwoFxcXvPPOO2W2ndYaN26c2XYsP/74o9yzrJOTE0aOHCnPy83NRZ8+\n",
"fRAcHIw+ffqYDYJv3ryJNWvWAMj7DuuX9gF5x0hnypQpZl/gxMbGyvcNIO9eVJ6duugPJ3D06NEC\n",
"q+M/ePAA69atk//X/5Guvx9CCPn7rS83NxdvvvmmwbhmFbFkZsqUKWaHM/nzzz+xcuVKAHm1OMwN\n",
"QF8UkiQZtIEeO3asyZcSkZGRGDBggFXDQZQ1BwcHuQRTV0vF3LANrq6uclXQyMhIeXpxg7/CPLPK\n",
"2scff4zg4GC8/PLLZqvtZmRkGLxwy3+/0dHfz99//73Adb/zzjtyO8sjR47g008/NZlOCIFx48bJ\n",
"gbuPj0+B48rOnTvXbIn+mTNnDILN8ePHF7itSqPo4O/+/fv466+/sG3bNmzfvh1HjhyxumFqUlIS\n",
"9u3bh+3bt+PkyZOFGn8lLi4Ou3fvxo4dO3Du3LkSH5BaCezt7Q2qRb377rtYt26dXAXqypUrCAkJ\n",
"wc8//4yWLVsavJkraz169JDfYmm1WgwaNAhz5szBgwcPAPx3HL6BAwfKPwD69OljtM3ffPON/MY/\n",
"KioK7dq1w44dO+R9fvjwIb788kv0799fnjZu3DiTbRn0O5GIiIjA6NGjkZycDCAvmP7666/Rp08f\n",
"qFSqYrWFKIpevXrJVb1OnjyJ999/X26z8+TJE2zdulVuN9atWzf5OP3555948803cfPmTTmv2NhY\n",
"fPDBBwaDx06dOrXAISlMWblypVx1NCIiAp06dcJff/0lBzHx8fGYPHmyQbDy+eefG7SrUSqVSoVN\n",
"mzbJ1TfXrVuHl156yeDHyI0bN/D666/LP0IkScIPP/xQYlXcrFXQtTF48GBcuXIFnTp1wt69e+Xz\n",
"n5iYiI8//tjgZc+XX35pMMSLo6Oj3IbtwYMH6NWrF44ePWrwHV66dCk6dOggBymvvPKK0fiZw4YN\n",
"wxtvvAEgr/ODwMBAfPfdd3JHCNnZ2Vi/fj06dOiAhIQEAHljY+kHjeWhS5cu8PHxAZD3DB0+fLjZ\n",
"jkbu37+PkJAQ+SWXh4eHQSDt7OxsMCbfoEGDDKrkHjt2DD169MD69esNxqfT3ecqildffRUPHz5E\n",
"p06dsGXLFvm3xOPHjzF//nwMHDhQvsbee+89NGvWrETXP2rUKLl2wqNHj9C5c2cMGjQI3377LRYv\n",
"XowhQ4bgX//6F1JSUgxKIPVfTpa3/MFbs2bNzLbxyl9y6u7ubtVYi5YU5plV1vRL3wYOHIjffvtN\n",
"rhWUkZGB7du3o3379nLg7OnpiVGjRpnMa9CgQfJ5//333zF37lz5Bdb9+/exbt06g5crVapUwfr1\n",
"6+VSt7lz5+K1116Tq2MCeVVMX375ZfkFvlqtxpo1ayyOydqrVy/Y2dmhR48eWLFihVyan56ejuXL\n",
"l6NHjx7ytH79+snVfUmPUKDc3FyxfPlyMWTIEKO/0NBQsW3bNrPL5uTkiJ9//tlouXHjxomzZ89a\n",
"XG9aWpr49ttvjZZ9//33xc2bN0t6Nyukrl27CkmShCRJYvbs2cXKKyYmRnh4eMj5SZIknJychIuL\n",
"i/x/w4YNxT///CPq1q0rT8tv5syZFrdJP/+ievLkiejUqZNBXpIkierVqwt7e3uDaT4+PiI+Pt5k\n",
"Pv/8849o1qyZQXpbW1vh5uZmlHdoaKjIyckxu01Dhw41SG9jYyPc3d2FjY2NkCRJ2NnZiXXr1olZ\n",
"s2bJaVavXm2Qx61bt+R53t7eBR4H/fN/8OBBs+nWr19vtG01atQQKpXKaNndu3cLBwcHg/SOjo6i\n",
"cuXKRsdk4MCBQqvVFrid5kRFRQkvLy+DPB0cHISrq6vBNJVKJaZMmWIxr4iICDn96NGji7xN1tDf\n",
"ttu3bxdpuYKMHDnS7HWic/DgQYPvpyRJolKlSkbTbGxsxJIlS4q9XYU5xvrbn//azL9v06dPNzj/\n",
"1atXN7rWJkyYYHI9cXFxok6dOgZp1Wq10TUkSZLw9fUV9+/fN5lPdna20XdYpVIJNzc3oVarDab7\n",
"+/ubvacUdP/TV9jvuykREREG39dKlSqJwYMHi6+++kr88MMP4ttvvxUjR44UVapUMbjH7d+/3yiv\n",
"ffv2yfcr3V/lypVFpUqV5OtoxowZIioqymB9+e8B+s8HS98P/f0PDAy0uJ/6xzX/9yH/MV++fLnR\n",
"/Vx3r9P9vfrqq2bv55a+D9acX1PXkv6fvb292LRpk9BqtfK0qlWrFmldOiVxLenon19JksTUqVPN\n",
"pj19+rRB2uHDh1vM29p7TWGeWStXrizUvb8w9+H8NBqN6NWrl9E5rV69utE1VqlSJXH06FGL+c2d\n",
"O9dgGVtbW+Hu7m7x+/Pbb78Z/c5xdnY2+I7r7qVbtmwxud78xyw8PFzY2dnJx1r/t4vur0OHDiIl\n",
"JaXQx0wJFFnyt2XLFuzduxfVqlXDiBEj8Omnn2LKlCno1asXtFotNmzYYLIajVarxeLFi7F79254\n",
"e3vjvffew6effor+/fsjPT0d8+fPN1v9RjcW0bFjx9C0aVNMnjwZn3zyCV566SXcu3cPs2fPNujN\n",
"63klSZL8V1z16tXDkSNH0KNHD3laRkYGnjx5ArVajeHDh+PUqVOoWbOmxfXqplnapuJus7OzM/bt\n",
"24cZM2agSpUqcl4PHz6U38LZ29tj9OjROHHihNm3ljVr1kRkZCSmTp0KJycnSJIEjUYjlyJKkoRa\n",
"tWph+fLlWL9+vcXxdX799VdMnz5dbsSt1WqRnJwMIQT8/PwQERFhUEJYEsfHmmMNAKGhoVi2bJnB\n",
"tt2/fx9CCKNlg4KCcOjQIXTo0EGel5mZKbcHAvK6eZ41axY2b95crPPo5+eHM2fOYOzYsbC1tYUk\n",
"ScjKyjIYlqBRo0bYunWrXPXWHGuPRUkp6jVckue2S5cuOHPmDAYOHCi/2U1PT5ffFkuShLZt2yIi\n",
"IgLvv/9+sberMMe4MGm/+OILLFmyBK6ursjKyjIovXJzc8NPP/2EZcuWmVzWy8sLx48fx7Bhw6BW\n",
"qyFJEnJzcw2qcavVarz22ms4duyYQcmhPltbW2zYsAE//fSTfI8TQuDBgwdySWKlSpXw8ccf4+jR\n",
"o2bvKUW5DotzP+zWrRt2794tt9/TDXD/6aefYsKECfj3v/+NNWvWyB2c1KhRA+Hh4SZrIOhK9vS7\n",
"hE9LS0NGRgbq16+P//znP3Lpu6OjIyRJQkZGhlH74MI+l0r6eho7diw2bNiAWrVqITc3Fw8ePJBL\n",
"+ypXrow5c+Zgy5YtFu/nxXm+2draYuPGjdixY4dc68TBwQENGzbEm2++ifPnz2PIkCEGPUPrdxpW\n",
"lH0uaLsLw8/PD15eXnJeloZtaNWqFTw8POS01lT5tGYbC/PMKsvjZGNjg//93//F9OnT4ezsbPDb\n",
"Q3eNSZKEjh07IjIy0qhzuPymTZuG6dOnyyWAGo1GLk03t32DBw/GiRMn0KNHDznN06dPDYYv6dmz\n",
"J06cOGF1G/nevXsjPDwcvr6+EEIgOTlZrkVnb2+PyZMnY//+/SavUwIkISy0AH1OvfPOO3j06BG+\n",
"/PJLNGzY0GDeihUrsHfvXgQEBOCTTz4xmLdr1y6sXLkS3t7e+OKLLwx6Hrtw4QLmzJmDypUrY/Hi\n",
"xUYX3Jo1a7Bz504EBARg2rRpBl+SAwcOICwsDB4eHvjmm2+KNRi4Tk5ODrZt22bQUcjz7PLlyzh0\n",
"6BAeP36MmjVrolu3bkYDmVYU2dnZOHz4MK5fv45Hjx7B0dERPj4+6Ny5c6HG4MrMzMRff/2FmJgY\n",
"PHr0CHfu3MHIkSML3Zvf48ePsXfvXty6dQtVqlSBv7+/2V7zytqjR4+wb98+ucrMCy+8gNatWxtU\n",
"49J38+ZNHD9+HAkJCcjOzkbVqlXRpEkTvPjiiyXe1unp06c4cOAA7ty5g/T0dNSoUQOtW7cuk3Yx\n",
"z8P3Ozk5GREREfjnn3+Qk5MDDw8PdOzYEfXr1y/vTTMyatQouQ3eqlWr5CqXaWlp2LNnD2JjY6FW\n",
"q9GoUSN0797d6nt4cnIyjhw5gtjYWKSlpaFSpUrw9vZGp06dDIK+gs63EALHjx/HxYsX8eDBAzg7\n",
"O6N+/fro1q0b7O3tS+AIlLzs7Gzs2LEDO3bswNmzZxEfH4/U1FTY29ujevXqaNmyJXr37o033nij\n",
"wA6aUlNTsWvXLsTExKBSpUpo0qRJmVdXL4xZs2bh888/lz/r2t3l5ORg7969uHbtGs6dO4eQkBC8\n",
"/PLL5dpOU9/Nmzfl30zt27c3aDdHeQr7zALK7n6emZmJo0eP4urVq3jy5Ans7Ozg6emJ9u3bF/q+\n",
"m5CQgP379yM+Ph5qtRqenp5o165dgfn8888/OHjwoDxmpKenJ7p27WrQ4Ywpq1atwpgxYwDk3Y91\n",
"nTgJIXDgwAFcu3YNGRkZqFOnDoKCgir0uH4V4vldTiWO5erMmTPi9OnTJqt/nTp1SgwZMkR88MEH\n",
"BtNzcnLEmDFjxJAhQ8TFixdN5rtkyRIxZMgQsW7dOoPpjx49EsOGDRNDhw4VCQkJJpedPn26GDJk\n",
"iNizZ08R98pQWlqaGDx4sEhLSyuR/Khi4/lWFp7vsmVNldbSxPP9fCmoemRFPd87duywurokWa+i\n",
"nu+KpLBVZSuyinC+FVnts2XLlmjVqpXJImpdVTH9sYUA4Ny5c0hNTYW7u7vZBte6N435uwGPjIyE\n",
"VqtFkyZN5A4jzC17+PDhwu0MERERUSGtXbsWbdq0Qdu2bfH1118XmH7Lli3yZ3M9QhJRxVf8+oXP\n",
"EY1GIw8Inr/am653IksDRTZu3Bi2trZITk5GcnKyXG3nypUrBS6rqyp248YNaLVaiz0dERERERWH\n",
"m5ub3E9BSkqKxaFAduzYgV9//RVAXnu/ijb+JhFZjxHG/0lOTsbChQsRExODrl27IjAw0GC+bpyg\n",
"unXrms1DV+9ZP721y1avXh2Ojo7QaDTywKNEREREpSEoKAgtWrQAAFy/fh2dOnXC2rVrcfPmTaSn\n",
"p+Pp06fy0AUDBgyQOy9ZtmwZXF1dy3nriaioFF3y9+uvvyImJgYpKSmIi4uDm5sb3n77bZMNxXXj\n",
"/5nreU3H3d0dd+7ckcd4Af47qGxRliUiIiIqaTY2NvjPf/6DV199FWfOnMG5c+cMxlLMz87ODgsW\n",
"LMDrr79ehltJRCVN0SV/t27dQlRUlFwy9/DhQxw/ftxgkGgd3UCWBfU6ppuvG2BS/7O1y+rWRURE\n",
"5a+sh+Wg51tFup68vLxw7NgxzJ07F7Vr1zYaUkCSJDg4OCAkJAQnTpwocAgWotJQkb4zzwNFl/zN\n",
"mDEDQN44Q7Gxsdi1axeOHz+OCxcuYMqUKWjdurXRMqKAkTGE3rgpOrrP1i5bEiRJgo+PD78oCiFJ\n",
"ElxdXXm+FYLnu2ytXLkSK1euLLf183w/X2bOnImZM2eanV/W51utVuPjjz/Gxx9/jOjoaFy9ehUp\n",
"KSlwdHSEp6cn/P39Ubly5TLZFiXi97tgI0eOtFgq/SzR/T4vT4oO/nScnJzg5+cHPz8/eTy+VatW\n",
"ISAgADY2NgAgN4IuqFRON1+/0bSjoyNSU1OLtKw5OTk5yMnJMTlPkiQ4Ojpi3rx5BeZDzwdHR0f8\n",
"+OOP5b0ZVEZ4vpWF51tZyvN8+/r6wtfXt1zWrVT8fiuL7ve5rjmZOba2tqU2DiCDv3yGDRuGgwcP\n",
"IikpCVeuXJGHdXBxcQGQ1zGMJbr5+gNMuri4IDU1FcnJyfD29i7UsuZs27bNoNtlfT4+Pgz8iIiI\n",
"iIgqoHnz5iEmJsbs/EGDBmHIkCGlsm4Gf/nY2dmhcePGOHXqFBITE+Xgr06dOjh79ixiY2PNLpuT\n",
"kyP31FmnTh15eu3atXH37l3ExsaiTZs2Jpe9f/8+MjIyYGdnJ/cYakn//v3Rp08fk/P0qw4kJycj\n",
"Nze3wPzo2SZJEmrUqIGkpKQSrT5MFRPPt7LwfCsLz7ey8Hwrh0qlgru7O4C86t+WzndplfoBDP5M\n",
"0p0M/bH2/Pz8sH37dly8eFHu7ji/qKgoaDQavPDCC6hWrZrBspGRkTh//jwGDRpkcp3nzp0DkFfl\n",
"wpp639YWB+fm5jL4UwDdNZObm8uHhwLwfCsLz7ey8HwrC8+3cuifX2uaeJUWxfX2mZOTg9OnT+Ps\n",
"2bMm5wsh5N4/9Uvv/P394ezsjAcPHuD06dMml92zZw8A4wHiO3ToALVajejoaNy+fdvkOvft22dy\n",
"WSIiIiIiopKguOBPq9Xi66+/xrx580wOph4REYGkpCR4enqiQYMG8nSVSoXBgwcDANavX2/UecvJ\n",
"kydx+vRpVK5c2ag6ZpUqVRAcHAwAWLVqlVFJXHh4OGJjY1GzZk107dq1RPaTiIiIiIhIn82sWbNm\n",
"lfdGlCW1Wo3ExETcuXMHx48fR25uLtLT03Hv3j3s2rULv/32G1QqFSZPnizXy9Xx8fHB7du3cfXq\n",
"VZw5cwYODg549OgRDhw4gLVr10KSJHzwwQeoW7eu0XobN26MqKgoXL16FVFRUXBwcMD9+/exc+dO\n",
"bN26FQ4ODpg6dSqqV69eovublpbGagQKIEkSqlSpgtTU1PLeFCoDPN/KwvOtLDzfysLzrRySJFWI\n",
"YVMkocDIIDMzE0uXLjVZfdPd3R1vv/02mjdvbnJZjUaDNWvWYPfu3QbTXVxcMH78eAQEBJhdb3p6\n",
"OsLCwnDs2DGD6R4eHpg0aVKpjPtx7949tvlTAEmS4OnpiYSEBAb7CsDzrSw838rC860sPN/KoVKp\n",
"4OHhUd6boczgT+fu3bu4evUqnj59Cnt7e9SpUwd+fn4GHb2Yc//+fZw/fx7p6enw8PBAq1atoFZb\n",
"13/O3bt3cfnyZWRlZaF27dpo0aJFqQ3uyeBPGfjwUBaeb2Xh+VYWnm9l4flWjooS/Cm6t08vLy94\n",
"eXkVaVl3d3f07NmzzNdLRERERERUFIrr8IWIiIiIiEiJGPwREREREREpAIM/IiIiIiIiBWDwR0RE\n",
"REREpAAM/oiIiIiIiBSAwR8REREREZECMPgjIiIiIiJSAAZ/RERERERECsDgj4iIiIiISAEY/BER\n",
"ERERESkAgz8iIiIiIiIFYPBHRERERESkAAz+iIiIiIiIFIDBHxERERERkQIw+CMiIiIiIlIABn9E\n",
"REREREQKwOCPiIiIiIhIARj8ERERERERKQCDPyIiIiIiIgVg8EdERERERKQADP6IiIiIiIgUgMEf\n",
"ERERERGRAjD4IyIiIiIiUgAGf0RERERERArA4I+IiIiIiEgBGPwREREREREpAIM/IiIiIiIiBWDw\n",
"R0REREREpAAM/oiIiIiIiBSAwR8REREREZECMPgjIiIiIiJSAAZ/RERERERECsDgj4iIiIiISAEY\n",
"/BERERERESkAgz8iIiIiIiIFYPBHRERERESkAAz+iIiIiIiIFIDBHxERERERkQIw+CMiIiIiIlIA\n",
"Bn9EREREREQKwOCPiIiIiIhIARj8ERERERERKQCDPyIiIiIiIgVg8EdERERERKQADP6IiIiIiIgU\n",
"gMEfERERERGRAjD4IyIiIiIiUgAGf0RERERERArA4I+IiIiIiEgBGPwREREREREpAIM/IiIiIiIi\n",
"BWDwR0REREREpADq8t6A8pSVlYWLFy8iPj4eGo0Gzs7OaNCgAby9vUt1vXFxcbh8+TKysrJQp04d\n",
"+Pv7Q6ViHE5ERERERKVHscHfiRMnEBYWhtTUVKN5fn5+mDx5MpydnY3mvfvuu0hOTjabb82aNbFo\n",
"0SKT89LT0xEWFoZjx44ZTPfw8MCkSZPg4+NTyL0gIiIiIiKyjiKDvxs3bmDRokVQqVTo168fmjRp\n",
"AgC4fv06du3ahcuXL+P777/HtGnTzObRvHlzk9Pd3NxMTs/OzsbcuXMRHR2Npk2bIigoCA4ODjhz\n",
"5gz27NmD2bNnY+bMmQwAiYiIiIioVCgy+Nu1axe0Wi2GDRuGkJAQeXqrVq3QunVrTJ8+HWfPnkVi\n",
"YiI8PDxM5jF9+vRCrXPjxo2Ijo5GQEAApk2bBkmSAAABAQHw9vZGWFgYlixZgm+++QZqtSJPCxER\n",
"ERERlSJFNjQLCQnB559/jl69ehnNa9CgAWrVqgUAiI2NLZH1PX78GOHh4ZAkCaNHj5YDP53u3bvD\n",
"19cXiYmJiIiIKJF1EhERERER6VNk8Fe7dm00atQITk5OJudrNBoAgK2tbYmsLzIyElqtFk2aNDFb\n",
"kti9e3cAwOHDh0tknURERERERPoUGfxZEhMTg8TEREiShDp16pRInleuXAFgvp0gAPj7+wPIa4+o\n",
"1WpLZL1EREREREQ6DP70PH78GEuWLAEAtGjRAu7u7iWSb1xcHACgbt26ZtNUr14djo6O0Gg0iI+P\n",
"L5H1EhERERER6bBnkf+TlJSEOXPmIDExEe7u7nj77bctph86dCgcHBzg4uICHx8fdOzYEW3btjWZ\n",
"9smTJwDM9wSq4+7ujjt37iAlJaVoO0FERERERGQGgz8A0dHRWLhwIVJSUlC3bl1MmzYNrq6uJtM2\n",
"btwYT548QXZ2Np4+fYp79+4hMTERR48eRbNmzfDRRx/BwcHBYJmMjAwAMJqen25+ZmZmCewVERER\n",
"EVV0OTk5sLGxAQBotVo2/6FSpfjg78CBA1ixYgVyc3Px4osvYsKECbC3tzebfuLEiQb/Z2ZmIjIy\n",
"Er/++isuXbqE5cuXG6XR9e4phLC4LQXNJyIiIqLng0qlglZrh7i4NOzfn9cJYffuOXB0FFCpshkE\n",
"UqlQdPD3xx9/YMOGDZAkCaGhoXj11VcLnYeDgwMCAwPh7u6OL774AocPH0ZoaKhBFU9HR0ekpqYW\n",
"WKKnm+/o6FjgenNycpCTk2NyniRJch6SJBkNLUHPH9055rlWBp5vZeH5Vhaeb2VQqVQA7DBtmhM2\n",
"bLCDRpN3vtVqgdDQbCxcKMHGhgHg80T/O52RkWGx0MfW1rbERh3IT7HB37Fjx7Bhwwao1WpMmjQJ\n",
"7dq1K1Z+zZo1g7e3N2JjY3H16lV07txZnufi4oLU1FQkJyfD29vbbB7JyckAgKpVqxa4vm3btmHL\n",
"li0m57m6uuLHH38EANSoUaMQe0HPOnNDidDziedbWXi+lYXn+/klhMC9eymYOtUBa9ca1jbTaCR5\n",
"2oIFKnh4OPNFwHNo8uTJePjwodn5gwYNwpAhQ0pl3YoM/jIzM/Hzzz8DAN56661iB346np6eiI2N\n",
"RWpqqsH02rVr4+7du4iNjUWbNm1MLnv//n1kZGTAzs4Onp6eBa6rf//+6NOnj8l5+jeJpKQk5Obm\n",
"FmIv6FkkSRI8PDyQmJjI6sMKwPOtLDzfysLz/fxTqVRIS7PDhg12ZtNs2GCHWbPSkZSUxNK/54RK\n",
"pcILL7wAAFi0aFGBJX+lRZHB3969e5GSkoJ27dqhW7duJZZvVlYWABgNHu/n54fIyEicP38egwYN\n",
"MrnsuXPnAAC+vr5WveGxtjhYCMGHh4LwfCsLz7ey8HwrC8/380uSJBw4YCtX9TRFo5Gwf78tQkJy\n",
"eB08J/TPozVNvEqLIsf5279/PwAUuo1fXFycPGZfftnZ2bh27RoAwMfHx2Behw4doFarER0djdu3\n",
"bxstK4TAvn37AACdOnUq1DYRERERUcWhUqmgVquhVqv/r20fUcWhuCsyPT0dCQkJsLGxsTjouilf\n",
"fvklpkyZgujoaKN5W7duRVpaGnx8fODl5WUwr0qVKggODgYArFq1yqgaZnh4OGJjY1GzZk107dq1\n",
"kGxSLS8AACAASURBVHtEREREROUtL9BzQFqaPbZvd8L27U5IS7MH4GAQBGq1WnTvngO12nyJnlot\n",
"0KNHDqt8UolTXLXPtLQ0AHmlbXPnzrWYtm7dunjjjTfk/1955RWsW7cO8+bNw8svv4wGDRogNzcX\n",
"R48exZEjR6BSqTBq1CiTeQ0ePBhXr17F5cuX8fnnn6N3796wt7fHmTNnsHfvXjg4OGDixInyOC9E\n",
"RERE9GxQqVSQJHuLvXeqVFnyOH6OjnnT83f4ohMamg17e8Hgj0qc4oI/XX1brVaLS5cuWUyb/wvX\n",
"r18/ZGZm4o8//jDqabNq1aoYN24cGjVqZDIvOzs7fPLJJwgLC8OxY8dw9epVeZ6HhwcmTZpkVF2U\n",
"iIiIiCo+rTZv2AZLvXfOmycA5A3rpVLlBYQAzASL6RAiG4z9qKRJgq1IC+3Jkye4ePEikpOTYWNj\n",
"A09PT/j7+8POznyvTfru3r2Ly5cvIysrC7Vr10aLFi1KrRvfe/fusbdPBZAkCZ6enkhISGDDcAXg\n",
"+VYWnm9l4fl+9uT13mmPxo1dzHbiolYLXLv2GE5OWXLhgm6Q96wsFfbtyyuP6dEjBw4OHOT9eaRS\n",
"qSrEEC6KK/krCVWrVjUYx6+wvLy8jNoFEhEREdGzR6VSFar3Tl1Qp9VqIUlZ8PJyQ0jII3la3l+Z\n",
"bDopEIM/IiIiIqJyYmtri9zcXJb0UplQXG+fREREREQlhb130rOEwR8RERERURHp995pDnvvpIqC\n",
"1T6JiIiIiIqBvXfSs4LBHxERERFRMWi1WqhUWZg3T2DWrHTs328L4L+9d+YFfoz8qPwx+CMiIiIi\n",
"Kqa84C4TTk4qhITkyNPYeydVJAz+iIiIiIhKiC7gI6qI2OELERERERGRAjD4IyIiIiIiUgAGf0RE\n",
"RERERArA4I+IiIiIiEgBGPwREREREREpAIM/IiIiIiIiBWDwR0REREREpAAM/oiIiIiIiBSAwR8R\n",
"EREREZECMPgjIiIiIiJSAAZ/RERERERECsDgj4iIiIiISAEY/BERERERESkAgz8iIiIiIiIFYPBH\n",
"RERERESkAAz+iIiIiIiIFIDBHxERERERkQIw+CMiIiIiIlIABn9EREREREQKwOCPiIiIiIhIARj8\n",
"ERERERERKQCDPyIiIiIiIgVg8EdERERERKQADP6IiIiIiIgUgMEfERERERGRAjD4IyIiIiIiUgAG\n",
"f0RERERERArA4I+IiIiIiEgBGPwREREREREpAIM/IiIiIiIiBWDwR0REREREpAAM/oiIiIiIiBSA\n",
"wR8REREREZECMPgjIiIiIiJSAAZ/RERERERECsDgj4iIiIiISAEY/BERERERESkAgz8iIiIiIiIF\n",
"YPBHRERERESkAAz+iIiIiIiIFIDBHxERERERkQKoy3sDiIiIiKhwVCoVVKq8d/harRZarbact4iI\n",
"ngUM/oiIiIieESqVClqtHdLSJBw4YAsA6N49B46OAipVNoNAIrKIwR8RERHRM0ClUkGS7DFtmhM2\n",
"bLCDRiMBANRqgdDQbCxcKEGlymIASERmMfgjIiIiegZotXaYNs0Ja9faG0zXaCR52rx5AkBmOWwd\n",
"ET0LFB38ZWVl4eLFi4iPj4dGo4GzszMaNGgAb2/vApdNSkrChQsXkJaWhpo1a6Jly5ZQq607nHFx\n",
"cbh8+TKysrJQp04d+Pv7y/X2iYiIiPJTqVRIS5OwYYOd2TQbNthh1qx0ODmpWPpHRCYpNvg7ceIE\n",
"wsLCkJqaajTPz88PkydPhrOzs9E8jUaDNWvWYPfu3QbTXVxcMH78eAQEBJhdZ3p6OsLCwnDs2DGD\n",
"6R4eHpg0aRJ8fHyKuDdERET0PFOpVDhwwFau6mmKRiNh/35bhITkMPgjIpMUGfzduHEDixYtgkql\n",
"Qr9+/dCkSRMAwPXr17Fr1y5cvnwZ33//PaZNm2awnFarxeLFi3Hy5El4e3ujT58+qFq1Ki5fvoyd\n",
"O3di/vz5+Oijj9CqVSujdWZnZ2Pu3LmIjo5G06ZNERQUBAcHB5w5cwZ79uzB7NmzMXPmTAaARERE\n",
"RERUKhQZ/O3atQtarRbDhg1DSEiIPL1Vq1Zo3bo1pk+fjrNnzyIxMREeHh7y/D179siB3xdffAE7\n",
"u7yqF/7+/vDz88OcOXOwbNkyLF68GFWqVDFY58aNGxEdHY2AgABMmzYNkpT35i4gIADe3t4ICwvD\n",
"kiVL8M0331hdfZSIiIiUQavVonv3HKjVwmzpn1ot0KMHS/2IyDxFNjQLCQnB559/jl69ehnNa9Cg\n",
"AWrVqgUAiI2NladrNBps3rwZADBixAg58NPx9/dHp06dkJqaiv/85z8G8x4/fozw8HBIkoTRo0fL\n",
"gZ9O9+7d4evri8TERERERJTELhIREdFzRKvVwtExr1dPc0JDs2FvLxj8EZFZigz+ateujUaNGsHJ\n",
"ycnkfI1GAwCwtbWVp507dw6pqalwd3dHs2bNTC7XvXt3AMCRI0cMpkdGRkKr1aJJkyYGJYmmlj18\n",
"+HDhdoaIiIgUQaXKxsKF6RgxIgtqtZCnq9UCI0ZkYeHCdNjYmA8OiYhYvzCfmJgYJCYmQpIk1KlT\n",
"R55+9epVAEDz5s3NLtu4cWPY2toiOTkZycnJcHNzAwBcuXKlwGX9/f0B5LVH1Gq17P2TiIiIDOT9\n",
"PsjCvHkCs2alY//+vJfUPXrkwMFBQAgO8k5EljHC0PP48WMsWbIEANCiRQu4u7vL8+Li4gAAdevW\n",
"Nbu8Wq2Gp6enQXprl61evTocHR2h0WgQHx9f9J0gIiKi51ZecJcJJ6cshISkIyQkHU5OWQAyGfgR\n",
"UYEY/P2fpKQkzJw5E4mJiXB3d8fbb79tMP/x48cAIJfmmaMLGFNSUuRpT548KfKyRERERPlptVr8\n",
"f/buP7yt8r77+OfckmVZDolJ88NJk5BmfVITwIRAKT/6NGADayngcjVAM2ZG+1zLRikDnuHW0DFS\n",
"WoppKNBtrJCVLYO2aR8YkLaMi0AcymjJmiUQKCFJaQkkzU8TkmDJkiWf8/whpNixZMu2jn6d9+u6\n",
"coF1zpFunVs/zlf3fX+/iURCiUSCoA9Azpj2KWnbtm1atmyZDh8+rOOOO07t7e2aOHHigH2i0agk\n",
"KRgMDnlfqe09PT3p21L/n+uxqccCAAAAgHzxfPDX2dmpH/zgB+rr69MZZ5yhL3/5y6qurs66v+M4\n",
"Wbf1394/o2fq/3M9FgAAAADyzdPB35NPPqmVK1fKsiwtXrxYn/vc57LuW1NTI2n4UbnU9tT+qf/v\n",
"7u4e1bHZxONxxePxjNssy0rfh2VZg0pLoPKk+pi+9gb621vob2+hv72F/vaO/n3c09Mz5KBPVVXV\n",
"gKoD+eTZ4G/dunVauXKl/H6/rr/+ep1++ulD7l9XVydJ6urqGnK/1PYJEyYMOLa7u1tdXV2aPXv2\n",
"iI7N5oknntBjjz2WcdvEiRP1wAMPSJKmTJky7H2hcmQrJYLKRH97C/3tLfS3t9Df3nLjjTfqwIED\n",
"WbcvWrRIl19+uSuP7cngLxqN6qGHHpIk/eVf/uWwgZ8kzZo1Sy+//PKAwu9Hi8fj6Uyd/ctEzJw5\n",
"Uzt37tT27dt12mmnZTx2//796unpUSAQSGcMHcqll16qiy66KOO2/r8s7Nu3T319fcPeH8qbZVmq\n",
"r6/Xnj17mD7sAfS3t9Df3kJ/ewv97R3GGE2dOlWSdO+99w478ucWTwZ/zz77rA4fPqzTTz9d55xz\n",
"Tk7HzJs3T6tWrdJrr70mx3EyDs+//vrrSiQSmjp1qo499tgBx7700kvatGmTFi1alPH+X3nlFUnS\n",
"3Llzcxr6z3U42HEcPkw8hP72FvrbW+hvb6G/vYX+rnz9+zeXJV5u8WSphzVr1kjSkGv8jtbY2Kjx\n",
"48fr3Xff1YYNGzLus3r1aknS2WefPeD2M888U36/X9u2bdPbb7896DjHcfTcc89lPBYAAAAA8sFz\n",
"wV8kEtHu3bvl8/mGLLp+NGOMLrvsMknSj3/840HJW9avX68NGzZo3Lhxg6ZjHnPMMbrwwgslSStW\n",
"rBg0DfPpp5/W9u3bNX36dC1cuHA0TwsAAAAAhuS5aZ/hcFhScrTtzjvvHHLf4447TldddVX67/PP\n",
"P1+vvvqq1q9fr1tvvVUXX3yxxo8fr82bN+upp56Sz+fTtddeq9ra2kH3ddlll2nLli3avHmzbr/9\n",
"dn36059WdXW1Nm7cqGeffVbBYFDXXXedfD5ffp8wAAAAAMiDwV9qvq1t2/rtb3875L62bQ/427Is\n",
"3XDDDXr44Yf1zDPP6P77709vq6ur0zXXXKP58+dnvK9AIKCbb75ZDz74oNatW6ctW7akt9XX1+v6\n",
"66/XnDlzRvu0AAAAAGBIlsPq0lHZv3+/Nm3apEgkovr6ei1YsEB+f26x9M6dO7V582bFYjHNnDlT\n",
"J598smv1Xfbu3Uu2Tw+wLEvTpk3T7t27WTDuAfS3t9Df3kJ/ewv97R3GmJIo6eG5kb98mTx5ss47\n",
"77xRHTtjxgzNmDEjzy0CAAAAgOw8l/AFAAAAALyI4A8AAAAAPIDgDwAAAAA8gOAPAAAAADyA4A8A\n",
"AAAAPIDgDwAAAAA8gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAAADyA4A8AAAAAPIDgDwAA\n",
"AAA8gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAA\n",
"ADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAAADyA4A8AAAAA\n",
"PIDgDwAAAAA8gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8\n",
"gOAPAAAAADyA4A8AAAAAPIDgDwAAAAA8gOAPAAAAADzAX+wGAABQaowxMib5+6ht27Jtu8gtAgBg\n",
"7Aj+AAD4gDFGth1QOGyps7NKktTUFFdNjSNjegkCAQBljeAPAAAlAz/LqlZ7e0grVwaUSFiSJL/f\n",
"0eLFvVq2zJIxMQJAAEDZIvgDAECSbQfU3h7SI49UD7g9kbDSt3V0OJKiRWgdAABjR8IXAIDnGWPU\n",
"02Np5cpA1n1WrgwoGrXSawEBACg3fIMBADzPGKPOzqr0VM9MEglLa9ZU5SX4M8bI7/fL7/cTTAIA\n",
"CoZpnwAAFAgJZQAAxUTwBwDwPNu21dQUl9/vZB398/sdNTfHRx2gkVAGAFBszDUBAHiebduqqUkG\n",
"YdksXtyr6mpn1MGZbQfU1pZMKNM/wEwllGlrC8m2s685BABgrAj+AACQZEyvli2LqLU1Jr/fSd/u\n",
"9ztqbY1p2bKIfL7sweHQ901CGQBA8THtEwAAJUf/jImpo8PR0qURrVmTXJPX3BxXMOjIcUa/Jm8k\n",
"CWVaWkY/tRQAgKEQ/AEA8IFk0BVVKGTU0hJP35b8V9y2YeyMMemR1VS/AoCXEPwBAHCUfAcGhUgo\n",
"g+zIsgoASQR/AAC4rH9CmUceqc64z1gTyiAzsqwCwBEEfwAAFEAyoUwy8MgchEQ+WFdYzFZWHtsO\n",
"qL09NCjoTmVZlaSODkdStAitA4DCIvgDAKAA3Ewog8yMMQqHh8+yunRpRKGQ4fwDqHgEfwW2Y8cO\n",
"bd68WbFYTLNmzVJjYyNpvQHAI0goU1hkWQWAgTwb/PX29mr16tX62c9+pkOHDmnhwoX68pe/POQx\n",
"1157rbq6urJunz59uu69996M2yKRiB588EGtW7duwO319fW6/vrrNWfOnJE/CQBAWSLTJACgGDwZ\n",
"/HV2dmrlypU6fPjwqI4/6aSTMt4+adKkjLf39vbqzjvv1LZt23TCCSfoggsuUDAY1MaNG7V69Wp9\n",
"4xvf0G233UYACABAHpFlFQAG8mTw98ILL+jw4cNqbGzUpEmT1NnZOaLj/+7v/m5E+//kJz/Rtm3b\n",
"NH/+fLW3t8uykl9A8+fP1+zZs/Xggw/qe9/7nr773e/K7/dklwAAkHdkWQWAgTy52Oyss87Sd7/7\n",
"XX3961/Xxz72MVcf6+DBg3r66adlWZa++MUvpgO/lKamJs2dO1d79uzR2rVrXW0LAFQqY4z8fr/8\n",
"fj/rqDFAMstqRK2tMfn9Tvp2v99Ra2tMy5ZF5PP1FrGFAFA4nhxmuuCCCwr2WC+99JJs29a8efNU\n",
"X1+fcZ+mpiZt27ZNL774os4///yCtQ0Ayh3FuzEcsqwCwBGeDP4K6Y033pCUfZ2gJDU2NkqS3nzz\n",
"zQ++pPjVGgCGQ/Fu5IosqwCQRJThsh07dkiSjjvuuKz7fOhDH1JNTY0SiYR27dpVqKYBQFmz7YDa\n",
"2pLFu/sn80gV725rC8m2s9d3g/fYtq1EIqFEIsGPAgA8iZG/UbjiiisUDAZVV1enOXPm6KyzztLH\n",
"P/7xjPseOnRIUvZMoCmTJ0/WO++8M+oMpADgJRTvBgBg5Aj+RqChoUGHDh1Sb2+v3n//fe3du1d7\n",
"9uzRr3/9a5144olqa2tTMBgccExPT48kDbr9aKnt0WjUncYDQAWheDcAACNH8DcC11133YC/o9Go\n",
"XnrpJf3whz/Ub3/7W/3Lv/zLoH1S2T0dx9FQhtsOAAAAAGNB8DcGwWBQ5557riZPnqxvfvObevHF\n",
"F7V48eIBUzxramrU3d097IheantNTU1Ojx2PxxWPxzNusywrfT+WZQ0qL4HKk+pj+tob6O/kD2a5\n",
"Fu92HKeszxX97S2V2N/J5ExHfgxnJP6ISuxvZNa/j3t6eoYc+KmqqlJVVZUr7SD4y4MTTzxRs2fP\n",
"1vbt27VlyxZ98pOfTG+rq6tTd3e3urq6NHv27Kz30dXVJUmaMGFCTo/5xBNP6LHHHsu4beLEiXrg\n",
"gQckSVOmTMnxWaASZCsngsrk5f52HEeOc3jY4t2hkNGUKVMq4sLKy/3tRZXQ3/F4XO++G1E47Awo\n",
"sREKWfrQh0KuXdyWo0rob+Tuxhtv1IEDB7JuX7RokS6//HJXHrskgr+uri7t27dPxx57rKZNm1bs\n",
"5ozKtGnTtH37dnV3dw+4febMmdq5c6e2b9+u0047LeOx+/fvV09PjwKBQM7P/9JLL9VFF12UcVv/\n",
"i5x9+/apr68vx2eBcmVZlurr67Vnzx6mEHsA/Z1kjNGyZckRhMylHiKSerVnT6SIrRw7+ttbKqW/\n",
"k2WrAvrqV7OVYumWRI3FSulvDM8Yo6lTp0qS7r333mFH/tziSvD36KOPyhijz3/+8znt/4c//EHf\n",
"/e53dfzxx2vp0qVuNMl1sVhMkhQKhQbcPm/ePL300kvatGmTFi1alPHYV155RZI0d+7cnH+dznU4\n",
"OPnrOB8mXkF/e4vX+7uvr89Txbu93t9eU+793ddXpfb20KCR+VQpFknq6HAkkehOKv/+xvD692+u\n",
"y7zc4Eqdv8ceeyzrlMRM5s2bJ0nauXOnG83Jix07dqRr9h2tt7dXW7dulSTNmTNnwLYzzzxTfr9f\n",
"27Zt09tvvz3oWMdx9Nxzz0mSzj777Dy3GgAq25Hi3TG1tETU0hJRKBSTFK2owA8oJ8YY9fQMX4ol\n",
"GrU+GCEEUCgl8Y5LTUuMREp3as63vvUt3XTTTdq2bdugbY8//rjC4bDmzJmjGTNmDNh2zDHH6MIL\n",
"L5QkrVixYtAUzKefflrbt2/X9OnTtXDhQveeAABUMIp3A6VjJKVYCP6AwiqJNX//9V//JSkZKJWq\n",
"z372s/rRj36kjo4OfeYzn9FHP/pR9fX16de//rV+9atfyRijq6++OuOxl112mbZs2aLNmzfr9ttv\n",
"16c//WlVV1dr48aNevbZZxUMBnXdddfJ5/MV9kkBAAAA8Iy8BH/79+/X/v37B92+efPmrMf09fXp\n",
"vffe0+uvv64XXnhBknTyySfnozmuuOSSSxSNRvXkk08OmtI6YcIELVmyRB/72McyHhsIBHTzzTfr\n",
"wQcf1Lp167Rly5b0tvr6el1//fWDposCAACUI9u2cy7Fwkg9UFiWk4fVpY8++uiI1vhlMmnSJN1+\n",
"++360Ic+NNbmuOrQoUN67bXX1NXVJZ/Pp2nTpqmxsVGBQPZ57f3t3LlTmzdvViwW08yZM3XyySe7\n",
"moJ87969ZPv0AMuyNG3aNO3evZsF4x5Af3sL/e0tldPfQbW312YtxdLaGtOdd4ZlWd5O+FI5/Y3h\n",
"GGNKoqRHXkb+xvJiHT9+vE4//XRdccUVGj9+fD6a46oJEyYMqOM3UjNmzBi0LhAAAKCSGNOrZcuS\n",
"P25nK8WSzMhbzFYC3pOX4O+iiy7SOeecI8uy5DiOrrvuOhlj9A//8A9ZA0NjjILBoMaNG5ePJgAA\n",
"AKBE2LbtqVIsQLnIS/AXCoUG1beTpMmTJ+fj7gEAAFBmjpRiMWppiadvS/4rbtsAr3Il2+enPvUp\n",
"MlcCAAAgHfABKD5Xgr9rr73WjbsFAAAAAIwSlTUBAAAAwANcK/Ju27bWrVun//mf/9GuXbvU09OT\n",
"U8mBf/qnf3KrSQAAAADgWa4Ef/F4XHfccYfeeOMNN+4eAAB4kDFGxiQnLbGODABGzpXgb9WqVenA\n",
"LxAI6CMf+Yjq6uoUCASGLGjuZrFzAABQnowxsu2AwmFLnZ3JkgFNTXHV1DgyhpIBAJArV4K/l156\n",
"SZJ0/PHH62tf+5pqamrceBgAAFDhjDGyrGq1t4eyFAu3ZEyMABAAcuBK8Ldnzx5J0tVXX03gBwAA\n",
"Rs22A2pvD+mRR6oH3J5IWOnbOjocSdEitA4Ayosr2T6rq5MfxjNnznTj7gEAgAcYY9TTY2nlykDW\n",
"fVauDCgatdJrAQEA2bnySXncccdJkg4cOODG3QMAAA8wxqizsyo91TOTRMLSmjVVBH8AkANXPikv\n",
"uOACSdLPf/5zN+4eAAAAADBCrqz5O/PMM/Xaa6/pmWeekc/n05VXXim/37WSggAAoALZtq2mprj8\n",
"fifr6J/f76i5OU7CFwDIgSsR2fPPP6+5c+fqrbfe0n/+53/qxRdf1KmnnqqZM2eqtrZ2yJIOCxcu\n",
"dKNJAACgzNi2rZqaZFbPoxO+pCxe3KvqaofgDwBy4Erw9/3vf3/A34cPH9batWtzOpbgDwAApBiT\n",
"LOcgKUuph4gcp1fEfgAwPOZiAgCAkmXbtoyJqaPD0dKlEa1Zkyzy3twcVzDofBD4EfkBQC5cCf7+\n",
"8R//0Y27BQAAHpQM7qIKhYxaWuLp25L/its2ACgnrgR/U6ZMceNuAQCAh6UCPgDA6FAUBwAAAAA8\n",
"wJWRv66urlEfO2nSpDy2BACA4jHGpIuPM2oFACg2V4K/a6+9dtTH/vSnP81jSwAAKDxjjGw7oHDY\n",
"UmdnMkFJU1NcNTWOjCFBCQCgOMj2CQBAHhljZFnVam8PZSlNYMmYGAEgAKDgXAn+/v7v/z7rNtu2\n",
"1d3dre3bt+vXv/619u3bp7lz5+qKK64Ysvg7AADlwLYDam8PDSpKnkhY6ds6OhxJ0SK0DgDgZZbj\n",
"OE6xHryvr0+PPvqonnjiCZ177rn667/+62I1pWLt3btXfX19xW4GXGZZlqZNm6bdu3eriG9pFAj9\n",
"XbqMMQqHq9XQUJce8Tua3+9o69aDCoVyG/2jv72F/vYW+ts7jDGqr68vdjOKm+3T5/PpC1/4gpqa\n",
"mrR27Vr95je/KWZzAAAYE2OMOjursgZ+UnIEcM2aqnQiGAAACqUkvnlaWlokSU8//XSRWwIAAAAA\n",
"lakkgr9UeYft27cXtyEAAIyBbdtqaorL788+fcvvd9TcHCfhCwCg4Eoi+Nu2bZsksTYNAFDWbNtW\n",
"TU0yq2c2ixf3qrraIfgDABRc0Us97N69Ww8++KAk6SMf+UiRWwMAwNgYkyznIClLqYeIHKdXxH4A\n",
"gEJzJfj753/+5yG3O46jWCymPXv26O23307ffv7557vRHAAACsa2bRkTU0eHo6VLI1qzJlnkvbk5\n",
"rmDQ+SDwI/IDABSeK8HfL3/5yxEfs3DhQn3yk590oTUAABRWMriLKhQyammJp29L/itu2wAA3uVK\n",
"8JdK4DIUn8+nUCikmTNn6owzztCpp57qRlMAACiaVMAHAEApcCX4u//++924WwAA8soYk663R6AG\n",
"AKh0RU/4AgBAoRljZNsBhcOWOjuTa/KamuKqqXFkDGvyAACVqWDBXzgc1rvvvqtoNKpQKKTJkyer\n",
"urq6UA8PAICkZOBnWdVqbw9lycZpyZgYASAAoOK4Gvz19fXpueee03PPPacdO3bIcY4UvTXG6KMf\n",
"/ag+85nP6KyzznKzGQAApNl2QO3tIT3yyMAfIBMJK31bR4cjKVqE1gEA4B7Xgr/Dhw/rO9/5jn73\n",
"u99l3G7btrZt26Zt27bphRde0I033shIIADAVcYYhcOWVq4MZN1n5cqAli6NKBQyjP4BACqKK8Gf\n",
"4zi6++6704Hf7NmzdeaZZ+rDH/6wqqur1dPTo7ffflsvvvii9u7dq5dffln33HOPbr75ZjeaAwCA\n",
"pGTw19lZlZ7qmUkiYWnNmiq1tMQJ/gAAFcWV4O/FF1/U1q1bJUlXXnmlLrnkkkH7fOITn9CiRYv0\n",
"4x//WD//+c/1yiuvaN26dTrjjDPcaBIAAAAAeJpx405ffPFFSdKf/umfZgz80g9ujP78z/9cCxcu\n",
"lCQ9//zzbjQHAABJySUHTU1x+f1O1n38fkfNzYz6AQAqjyvB3x/+8AdJ0oUXXpjT/p/73OcGHAcA\n",
"gBts21ZNTTKrZzaLF/equtoh+AMAVBxXpn12d3dLkqZOnZrT/vX19ZKS5SAAAHCTMclyDpKylHqI\n",
"yHF6RewHAKg0rgR/tbW1ev/99/Xuu+9q0qRJw+7/7rvvSpJCoZAbzQEAIM22bRkTU0eHo6VLI1qz\n",
"Jlnkvbk5rmDQ+SDwI/IDAFQeV6Z9zpo1S5LU2dmZ0/7PPPOMJGnOnDluNAcAgAGSwV1UoVBMLS0R\n",
"tbREFArFJEUJ/AAAFcuV4C+VsfPJJ5/UunXrhtx39erV+sUvfiFJ6cQvAAAUgm3bSiQSSiQSJJnz\n",
"FAAAIABJREFUBH0AgIrnyrTPpqYmPf3009q1a5fuvfdeffzjH9dZZ52lGTNmKBgMKhKJaPv27Xrh\n",
"hRf0+uuvS5JOOukknXXWWW40BwAAAAA8z5Xgz+/362tf+5q+9a1vaf/+/Vq/fr3Wr1+fdf958+bp\n",
"b//2b91oCgAAAABALgV/UjKD51133aXHH39cnZ2dikQig/aZOHGiPvvZz+ozn/mMfD6fW00BAAAA\n",
"AM9zLfiTklk/W1tbdeWVV+qdd97R/v37FY1GVVNTo2nTpunDH/6wmw8PAAAAAPhA3oI/27a1bds2\n",
"TZo0aVB5B2OMZs+erdmzZw+4fdeuXTp8+LDmzp0rY1zJPQMAAAAAUJ6Cv1deeUU/+MEPtH//fl1/\n",
"/fU51faTpA0bNuiHP/yh6uvrdc0116ihoSEfzQEAAAAAHGXMwd/GjRt11113jepYx3EkSXv27NEd\n",
"d9yhb3zjG2VR62/fvn169dVXFQ6HNX36dJ1yyiny+3M7lTt27NDmzZsVi8U0a9YsNTY2MuoJAAAA\n",
"wHVjCv4cx9GKFSskSaeeeqquvPJKTZ8+PefjP/vZz+qEE07Qv/7rv+rNN9/UQw89pDvuuGMsTcpZ\n",
"b2+vVq9erZ/97Gc6dOiQFi5cqC9/+ctDHpNIJPTwww+ni9Kn1NXV6ZprrtH8+fOzHhuJRPTggw8O\n",
"qntYX1+v66+/viyCXgAAAADla0zB31tvvaW9e/dq3LhxuuGGGxQIBEZ0vM/n05/8yZ/oa1/7mr78\n",
"5S/rzTff1B//+EfXE8F0dnZq5cqVOnz4cM7H2Lat++67T+vXr9fs2bN10UUXacKECdq8ebOeeuop\n",
"3XXXXWpra9OCBQsGHdvb26s777xT27Zt0wknnKALLrhAwWBQGzdu1OrVq/WNb3xDt912GwEgAAAA\n",
"ANeMab7hW2+9JUk65ZRTRhz49Td+/HidcsopkqTf/e53Y2lSTl544QUdPnxYjY2NampqyumY1atX\n",
"pwO/b37zm/rf//t/q7GxUV/4whfU1tYm27Z1//336/333x907E9+8hNt27ZN8+fP16233qozzjhD\n",
"8+fP15e+9CUtWbJE0WhU3/ve95RIJPL9VAEAAABA0hiDv1Sgk2uCl6FMnTpVkkY0GjdaZ511lr77\n",
"3e/q61//uj72sY8Nu38ikdCjjz4qSWptbR0U6DY2Nurss89Wd3e3fv7znw/YdvDgQT399NOyLEtf\n",
"/OIXZVnWgO1NTU2aO3eu9uzZo7Vr147xmQEAAABAZmMK/lKF2fv6+sbckFRQVIjkJxdccIFmzJiR\n",
"8/6vvPKKuru7NXnyZJ144okZ90mNIP7qV78acPtLL70k27Z1/PHHq76+fshjX3zxxZzbBAAAAAAj\n",
"MaZIq66uTpL0xz/+ccwNSd3HhAkTxnxf+bZlyxZJ0kknnZR1n4aGBlVVVamrq0tdXV3p2994441h\n",
"j21sbJQkvfnmm7JtOx9NBgAAAIABxhT8paZM/va3vx3TdM0DBw5o06ZNA+6zlOzYsUOSdNxxx2Xd\n",
"x+/3a9q0aQP2z/XYD33oQ6qpqVEikdCuXbvy0WQAgEcYY+T3++X3+ykdBAAY0pi+JaZMmaKPfOQj\n",
"isVieuihh0Z1H319fXrggQeUSCQ0Z84cTZkyZSxNcsXBgwclDb+2cfLkyZIGrls8dOjQqI8FACCb\n",
"ZKAXVDhcrVWrQlq1KqRwuFpSkCAQAJDRmL8d/uzP/kyStG7dOnV0dAyY8jicXbt26fbbb0+P+i1e\n",
"vHiszXFFNBqVJAWDwSH3S23v6elJ35b6/1yPTT0WACA7r492GWNkWdVqb69VQ0OdliwZpyVLxqmh\n",
"oU7t7bWyrGpPnhcAwNDGVOdPSq5Xa2lp0apVq/Tyyy/rb/7mbzR//nyddtpp+shHPqJJkyYpFArJ\n",
"cRxFIhHt379fb731ln7zm9/o1VdfleM4kqSWlpb02rdSlWrrcNv7Z/RM/X+uxwIAsjPGyLYDCoct\n",
"dXZWSZKamuKqqXFkTK9n1k3bdkDt7SE98kj1gNsTCSt9W0eHI4kfFAEAR4w5+JOSo3/GGD3xxBPq\n",
"6+vThg0btGHDhpyOtSxLl156qa644op8NMUVNTU1koYflUttT+2f+v/u7u5RHTuUeDyueDyecZtl\n",
"Wen7sSxrUHkJVJ5UH9PX3uDV/k6OZCWDnpUrA0okks/f73e0eHGvli2z5PNVXgB4dH8bY9TdbWnl\n",
"yuz1dVeuDGjp0ohqa30Vdz4qnVff315Ff3tH/z7u6ekZcuCnqqpKVVVVrrQjL8GfJH3hC1/QiSee\n",
"qMcff1yvv/56Tsc0Njbq85//vBoaGvLVDFekspoON6U1tb1/xtK6ujp1d3erq6tLs2fPHtGxQ3ni\n",
"iSf02GOPZdw2ceJEPfDAA5JUkmso4Z5s5URQmbzU347jaO/ew/rqV4NDjnZ95ztG9fXjK/JCKtXf\n",
"PT09+tnP7HTwm0kiYWnNmoD+/M+DOf+oiNLipfc36G+vufHGG3XgwIGs2xctWqTLL7/clcfOW/An\n",
"SSeeeKJOPPFE7d27V2+88Yb+8Ic/6PDhwwqHw5Kk2tpa1dXVac6cOTr++OPTSU5K3axZs/Tyyy9r\n",
"+/btWfeJx+PpTJ2zZs1K3z5z5kzt3LlT27dv12mnnZbx2P3796unp0eBQCCdMXQ4l156qS666KKM\n",
"2/pf9Ozbty8vdRhR2izLUn19vfbs2cMUYg/wYn8bYxQOB3Ia7dq3b19FjXZZlqWpU6dq//79kpLn\n",
"or4+IGMc2fZQQa6j999/P520DOXBi+9vL6O/vcMYo6lTp0qS7r333mFH/tyS1+AvZerUqZo6darO\n",
"OeccN+6+4ObNm6dVq1bptddek+M4GX9Rfv3115VIJDR16lQde+yxA4596aWXtGnTJi1atCjj/b/y\n",
"yiuSpLlz5+b8a3Wuw8GO4/Bh4iH0t7d4qb8tK7nGb/jRriq1tMQr6rwYY7R372GFw1X91jkmtGHD\n",
"Yd10U0hr1gz+LvD7HTU3x2XbdkWdCy/x0vsb9LcX9O/fYs7IIBVYDhobGzV+/Hi9++67Wdcyrl69\n",
"WpJ09tlnD7j9zDPPlN/v17Zt2/T2228POs5xHD333HMZjwUAeFtqneNXvxo8KqvnBN1zT1ArVnSr\n",
"uXnw+u/Fi3tVXe1U1AgoAGDsCP5yYIzRZZddJkn68Y9/PCh5y/r167VhwwaNGzdu0FTMY445Rhde\n",
"eKEkacWKFYOmYD799NPavn27pk+froULF7r4LACgfNm2raamuPz+7L+M9x/tqhS2HVBbWzKrZ/9R\n",
"z9Q6x1tuCenuuyMyJnle/H5Hra0xLVsWkc/XW6xmAwBKlCvTPivR+eefr1dffVXr16/Xrbfeqosv\n",
"vljjx4/X5s2b9dRTT8nn8+naa69VbW3toGMvu+wybdmyRZs3b9btt9+uT3/606qurtbGjRv17LPP\n",
"KhgM6rrrrpPP5yvCMwOA0mfbtmpqklk9j074klJpo13JdY7DZ/W87bYePfnk+9qzx6i5Oa5g0JHj\n",
"uJv11BiTriNo23bFnHOUNl53wNgR/OXIsizdcMMNevjhh/XMM8/o/vvvT2+rq6vTNddco/nz52c8\n",
"NhAI6Oabb9aDDz6odevWacuWLelt9fX1uv766zVnzhzXnwMAlDNjkuUcJGUp9RD5IOgpZivzxxiT\n",
"0zrHzk6/Lr00mr4YTv5zr03UWUSh8boD8sdyWF06Yvv379emTZsUiURUX1+vBQsWyO/PLY7euXOn\n",
"Nm/erFgsppkzZ+rkk092NSX53r17yfbpAZZladq0adq9ezcLxj3Ay/2dugiMRq10opPm5oSCQUc+\n",
"X29Ffd75/X6tWhXSkiXjhtxv+fJutbRElEgkXG2PMUaWVa22tmx1FiNynBgX4mPk5fd3JpX+uqO/\n",
"vSOZqbn4JT0Y+RuFyZMn67zzzhvVsTNmzNCMGTPy3CIA8IbkBV5U48b51dLiKB63tHGjT3v2WGpq\n",
"UkWNBPRf55ht9K+Q6xxtO6D29tCQdRY7OhxJ0QxHA6PD6w7ILxK+AADKijFGjlOlm26q1ezZdbrk\n",
"kvFasuQYNTTUqb29VpZVnV4XVM76r3PMplDrHI0x6ukZfv1hNGpVxLlHaeB1B+Qf7xQAKBPGGPn9\n",
"fvl8PsXjg9P7V7rU8zcmoH/7t2r96EeBjBkw29pCsu3sF4vlJLnOMaLW1tiATKeFzuqZ6/rDNWuq\n",
"uAhH3vC6A/KPaZ8AMEKFyDjX/zEkKZHwD0h20NwcVjBYXTFTHIeSKdnDJZf06tOfjmcscr5yZUBL\n",
"l0YUCpmyPze2bcvn69V3vmO0dGmk3zrHwmT1BABUFoI/AMhRITLOZX6MhBIJ6brrQnr22eSI1pFk\n",
"B5aMKd9kB8NJJXtob8+c7GHFim5dffW4AQFgaiSgpaUyav7Ztq36+vHat2+fWlri6dvczOqZqQ2l\n",
"tP4Q3sDrDsg/gj8AyMFwQUg+grDhHuPf/z2sVat69R//Ua3OTr8nkh3kkuzh7rsjOvXU8bJt9zIn\n",
"F5tlWbJtu2jZAL1YZxHFx+sOyD8mSANADmw7oLa2ZBDi1jqz4R7ja18L6YILErrvvm5t2HBYzc3x\n",
"ik52kGuyh0DAUVPTkTIHjAS4o1TWH8JbeN0B+UWdvwpHnT9voE6Qu4wxCoer1dBQN+TUo61bDyoU\n",
"Gt3oX66PsWnTIf3f/xvSlCmOvv3tiK6+epyuuCJWkDpvhZZrnbt/+qew3n7baNmyGklSa2tMd94Z\n",
"lmVVxmhoKb2/M9dZTK4/9ML600Iopf4uFZX8uqO/vYM6fwBQJkaScW6068xyfYy1a6vU2NiXDnTu\n",
"vjui9esLM+pXiEQ3YzGw6HNvwdbDeUmqzmIoZIq2/hDew+sOyB+CPwAoUytXBnTzzT360z9NuBqI\n",
"FSLRTSa5Jnu44IK4tmwx+uu/jpIBs0BKMfhH5eN1B4xd5S0SAYA86x+EZDPWdWa5Psa558b18svJ\n",
"3+0SCUu//KXf1WQHR5LQ1KqhoU5LlozTkiXjClJQPdci57W1jj7xiahCoZikKBeHAABkQfAHAMPI\n",
"NQgZSxCW62PEYpY6O49M2vD5JGPcW9dbiEQ3Q8kl2YMxMSUS7o5+AgBQCZj2CQA5SAYhyeAnc6mH\n",
"sa8zG+4xUgleUiUNUqONbiV1SiahGT7bppsF1W3bljExdXQ4FDkHAGCMCP4AlIViJxspRBCS6TH6\n",
"+qRPfSqh3l5rUDFzt+tbFSLRTS5I9gAAQH4Q/AEoacVKNpJJIYKQ/o/xuc8lJPn10EPVuu22oHp7\n",
"k8GvV7NakuwBAICxIfgDULKOJBsJZZlqacmY0dXVG4tCBCGpxzCmT1dd5ejyy2MDRhtDISPJ3eA3\n",
"12ybFFQHAKA8kPAFQMkqdrKRUnBkJDBZyL2lJaLa2l5NnTq+IAGo24luAABA4RD8AShJxhj19Ayf\n",
"bCQatVwrNVBKbNtWIpFIZ7W0rOzr8PIpl2ybPl/24BAAAJQOpn0CKEmlkmzE68i2CQBA5SD4A4Ay\n",
"VogsqGTbBACgMhD8AShJJBsZWjwel+NUKxIpXBZUsm0CAFDeCP4AlKT+yUYeeaQ64z6FTDZS7DqD\n",
"R7flvfe61d5eW1JZUEtRKfUbAADFRvAHoGQlk40kA5vMQY77de5Kqc5gSl9fldrbQ4OC4lQWVEnq\n",
"6HAkRQvetlJRiv0GAECxWY7jOMPvhnK1d+9e9fX1FbsZcJllWZo2bZp2796tSntLpy7io1FrULIR\n",
"ty/iU3UG29qy1RmMyHEKO8JmjFE4XK2Ghrohp8Nu3XpQoZA3R/9Ksd/GopLf3xiM/vYW+ts7jDGq\n",
"r68vdjMY+QOQXSlMmStmshHbDpTcCBtZUIdXiv0GAEApqPziWABGLBnwBRUOV2vVqpBWrQopHK6W\n",
"FCxaTb2j69y5jTqD5Yl+AwAgO775AAyQmjLX3l6rhoY6LVkyTkuWjFNDQ53a22tlWdWeuGgeyQhb\n",
"Ic9H/yyo2Xg5C2qp9hsAAKWAbz4AA9h2QG1tySlz/S+gU1Pm2tpCsu3soypwV/8sqNkUMgsqAAAo\n",
"HwR/ANKYMndEKY+w+Xxx3X13RK2tsQHt8/sdtbbGtGxZRD5f9uCwkpVyvwEAUGyVffUGYESYMndE\n",
"KY+w2batY48dp46OsLZuPajly7u1fHm3tm49qI6OcFllssy3Uu43AACKjWyfAJBFKdQZzKaqqkqW\n",
"FVMoZBU8C2qpK+V+AwCgmKjzV+Go8+cN+aoTVA415ApdfqKYdQazGa6/S6FER7GVYr+NFnXAvIX+\n",
"9hb62zuo8weg5PSfMnd0jbSUYk2ZS13Mh8OWOjuTF/NNTXHV1Lh7MV/MOoMjVaxzlGvbChmQllO/\n",
"AQBQKAR/AAYoxSlzR8pPhLK0yZIx7o5ElvoIWimco2ztKmZAWur9BgBAIRH8ARjAtm0ZE1NHh6Ol\n",
"SyODpswlA79CJzgJqL09NGg0MlV+QpI6OhxJ0YK2q5SU4jkq1YAUAACvqux0fQBG5ciUuZhaWiJq\n",
"aYkoFIpJihZl5IjyE0nGGPn9fvl8PvX29qb/rqpKZmj96U+rsh5bjHNEzUgAAEpLZV8pARgT27aV\n",
"SCSUSCSKNjpD+Ql98LyCCoertWpVSOvWBbV/f1jd3cm/n3yyRtGopf/+7/fV3BzPeB+FPkcE7QAA\n",
"lB6+cQGghB2ZOlmrhoY6/fSn1VqwoE833xxSQ8MELVkyTkuWjNMJJ0zQPfcEtWJFd9YAsNDt9nrQ\n",
"7gWp0We/308/AkAZYM0fgJJm27aamuLy+50hy080N8crcu1Y/7V8xji6++6Ibrll6LV9d98d0amn\n",
"jpdtHzlflXyOUHjFTuQDABgdfqYDUNL6l5/IpljlJ9x29NTJpqaEqqqcYadSBgKOmpoSA24v9Dnq\n",
"H7RnQ0Bano4ejU6NPjc01Km9vVaWVc0oIACUKD6dAZS8ZPmJiFpbYwOCCb/fUWtrTMuWReTzZQ8O\n",
"y9XRUycXLEjo+eeHn0q5dq1fp5ySDP6KdY68HLRXOhL5AED5YtongJJXiuUnSlkgIF1ySa/+1//q\n",
"K+o5KsWakaWi0EXv88UYo3B4+EQ+S5dGFAqZsnleAOAVBH8AysKR8hNGLS3x9G3Jf8Vtm1uOXu+4\n",
"caNfV10Vzmn94zHHJDR3rlPUc0TQPli5r5UbSSKflham9AJAqSH4A1BWymmUZKz6T5185JFqdXb6\n",
"FY9b6b8zSU2ljMeLn/FT8mbQng1F7wEAxUbwBwAl7OipkzfdFNKKFd3pv8tlKqWXgvZs+mdu7a9/\n",
"ptaODkdStAity43Xs+8CQLkj4QsAlDDbtuU4MXV0hLV160FdcUVMGzf6dOedEW3dekjLl3dr+fJu\n",
"bd16UB0dYTkOI0elqFKK3pPIBwDKGyN/AFDiMk2drKur03vvvaeWlt70Pl6cSlkuKmmtHIl8AKB8\n",
"EfwBQJlIBXiWZSkQCHwwKpi9jh7gBhL5AED5IvgDAMBllbZWjkQ+AFCeSndhAQAAFaJS18rZtq1E\n",
"IqFEIlFW7QYAr2LkDwAwKuVaqLxYWCsHACg2gj8AwIiUe6HyYmGtHACg2Aj+ACAPvDIKRqHysSnl\n",
"tXJeeQ0DgJcR/BXYvn379OqrryocDmv69Ok65ZRT5PfTDcBIlcqFqtdGwSqhUHkpKKXgymuvYQDw\n",
"MqKOEVq6dKneeOONrNv9fr9+9KMfDbo9kUjo4Ycf1jPPPDPg9rq6Ol1zzTWaP39+3tsKVKJSulD1\n",
"2iiYMUbh8PCFypcujSgUMhXzvCuZ117DAOB1BH+j1NDQoKqqqkG3ZxrFs21b9913n9avX6/Zs2fr\n",
"oosu0oQJE7R582Y99dRTuuuuu9TW1qYFCxYUoulA2Sq1C1WvjYJVUqFyJHntNQwAXkfwN0rXXXed\n",
"Jk2alNO+q1evTgd+3/zmNxUIJH81b2xs1Lx583THHXfo/vvv13333adjjjnGzWYDZa2ULlQZBUO5\n",
"4zUMAN5DnT+XJRIJPfroo5Kk1tbWdOCX0tjYqLPPPlvd3d36+c9/XowmAmXBGKOenuEvVKNRK70W\n",
"0O325DoKVoj2FEL/QuXZlFOhcq/z4msYALyOT3OXvfLKK+ru7tbkyZN14oknZtynqalJkvSrX/2q\n",
"kE0DygoXqsVXqYXKAQDwCq6QXLZlyxZJ0kknnZR1n9T6wa6uLnV1dRWqaQDGwKujYMlC5RG1tsYG\n",
"PHe/31Fra0zLlkXk82UPDlE6vPoaBgAvI/gbJcfJ/mXZ344dOyRJxx13XNZ9/H6/pk2bJknauXPn\n",
"2BsHVKBSu1D16iiYbdtynJg6OsLauvWgli/v1vLl3dq69aA6OsJyHDJDlguvvoYBwMtI+DJKX/nK\n",
"V1RdXa3x48dr9uzZOv3003X22WfL5/MN2O/gwYOSNGxymMmTJ+udd97RoUOHXGszUM76X6genfAl\n",
"pdAXqslRsOQ01MzZRyNynN6iF+/Ot1IuVI6R8eprGAC8iuBvhObMmSO/3694PK7u7m7t3btX69ev\n",
"1/r16/WLX/xCt9xyi+rq6tL7R6PJrIPBYHDI+01t7+npca/xQJkrtQtV27ZlTEwdHY6WLo1ozZpk\n",
"+Zfm5riCQeeDtlTuVXMpFSrH6Hj9NQwAXkPwN0JXXXXVgL8TiYQ2bNighx9+WG+//bbuuece3X77\n",
"7YOOG26aaGq7ZWVPZgF4XSleqDIKhnLHaxgAvIPgb4z8fr8+8YlPaObMmbrpppu0detWbdmyRQ0N\n",
"DZKkmpoaSUdGALNJbU/tP5x4PK54PJ5xm2VZ6fuxLIuA0gNSfeyFvnYcR5YVU23tkQtVx3E+WItW\n",
"vHPgOI76+vrSf7vZDi/1NwrX34V8DSM73t/eQn97R/8+7unpGXJgqKqqSlVVVa60g+AvT6ZPn64F\n",
"CxZo/fr1euONN9LBX2oK6HBZPFPbJ0yYkNPjPfHEE3rssccybps4caIeeOABSdKUKVNyuj9Uhvr6\n",
"+mI3AQVEf3sL/e0t9Le30N/ecuONN+rAgQNZty9atEiXX365K49N8JdH06dPlyS9//776dtmzZql\n",
"l19+Wdu3b896XDwe165du9L75+LSSy/VRRddlHFb/18W9u3bN+CXXFQmy7JUX1+vPXv25JyJFuWr\n",
"kP1tjEl/pqRGWFFYvL+9hf72FvrbO4wxmjp1qiTp3nvvHXbkzy0Ef3mUmroZCoXSt82bN0+rVq3S\n",
"a6+99sF0tcHD+q+//roSiYSmTp2qY489NqfHynU42HEcPkw8hP72Fjf72xgj2w6ou9tSZ2fys6ap\n",
"Ka6aGkfGkASkGHh/ewv97S30d+Xr37+5LvNyA8HfCOzatUuJRELTp0+X3z/41P32t7+VlMwImtLY\n",
"2Kjx48fr3Xff1YYNG3TaaacNOm716tWSpLPPPtullgPIJ2OMjEmWSa3EjJfJ0b5qtbeHsmRVtWQM\n",
"9fwAACg3FHkfge9///tqa2vTf//3fw/a1tnZqT/+8Y+qq6vTySefnL7dGKPLLrtMkvTjH/94UOKX\n",
"9evXa8OGDRo3blzWaZwASkMy4AsqHK7WqlUhrVoVUjhcLSmYDgYrgW0H1NYW0iOPVKcDP0lKJCw9\n",
"8ki12tpCsu1AEVuY7Au/3y+/319R5x4AADcx8jcCF154obZt26YHHnhAv//97zVv3jz5fD5t3LhR\n",
"zz77rCTpL/7iLwYVej///PP16quvav369br11lt18cUXa/z48dq8ebOeeuop+Xw+XXvttaqtrS3G\n",
"0wKQA6+MhhljFA5bWrkye3C3cmVAS5dGFAqZgj/f1HTUcJjpqAAAjBTB3wiceeaZCofDevjhh/XU\n",
"U0/pqaeeSm+rqalRa2urzjrrrEHHWZalG264QQ8//LCeeeYZ3X///eltdXV1uuaaazR//vyCPAfA\n",
"q4aaqpnLNE7bDqi9PTka1l9qNEySOjocSUOXdSl1xhh1dlYNGPE7WiJhac2aKrW0xAsabHklAAcA\n",
"wC0EfyN03nnn6ayzztKrr76qffv2SUqWU2hsbByQ6OVofr9fX/rSl3TxxRdr06ZNikQiqq+v14IF\n",
"CzKuHwSQH0ONFPl8cfX1VQ07ilTqo2Fe4ZUAvBRU+rpWAPAqoo5RCIVCOuOMM0Z17OTJk3Xeeefl\n",
"uUUA+ktduFqWJdv2DzFSFNGKFdW67baaIUeRij0advSFuJsZ4WzbVlNTXH6/k36+xjhqakpowYKE\n",
"JGnTJp+amws/6kcA7j6m1QJAZWOVPICKMTAhS43ef79q2MQlF14YV//r2VJLapIpwYzjVCsej7vy\n",
"mLZtq6YmGQBLUnNzXBs2HNZ994U1a5atWbNs3XdfRMGgKw+f1UgCcBLAjM6RabW1amio05Il47Rk\n",
"yTg1NNSpvb1WllXNuQWAMsenOICKcPSF6//7f0H19GjYkaJAIDmqlWlbNGp9MBJyZDQsG7/fyeto\n",
"2HAX4u+91+3ahbgxyVHRO+6IaMWKbt1zT1Dz50/QV75Sq698pVYnnTRB7e0hgoEKUw5ZXgEAY8O3\n",
"NoCKcPSF64IFCT3//PAjRWvXVumUUwYHf/1HkY4eDctk8eJeVVc7eQv+hrsQv+mmkPr6qvLyWIMf\n",
"25bjxHT11THdcktpBAPFCMC9xBijnp7hp9WmfhABAJQnPsEBlL1cLlzH/hjJ0bDW1tiAAMTvd9Ta\n",
"GtOyZRH5fNmDw5E9VmlciOcyclqoYKAYAbiXMK0WALyBT3AAZS/ThevGjX6dc87wI0XnnhvXyy8P\n",
"zn119ChSajSsoyOsrVsPavnybi1f3q2tWw+qoyMsx8lfiYFSuBAvhTYMblPhAnAAACoR2T4BVKTO\n",
"Tr/icUuLF/cOKg2Qsnhxr2IxS52dgz8KM40iJf8/qlDIqKUlnr4t+c+Vp4F+kplXY+rocLR0aURr\n",
"1iSnvTY3xxUMOnIcslGOVqYsr0djWi0AlD+CPwBlL9OFq21buummkFas6JakrKUeHnqoWsYoHbz1\n",
"35YMJjI/npsXwKVwIV4KbcjWLgLw/Os/rXaoH0uYVgsA5Y3gD0DZy3bhumZNla6+epxaFz9sAAAg\n",
"AElEQVTuvjuir3+9Ry+8kPzIS40USXFdfbWjL3whNuJRpOGKYI+lSHYpXIjnuw35LhpO4fH8S06r\n",
"TQb62X4syfaDCACgPFiOm9WCUXR79+5VX19fsZsBl1mWpWnTpmn37t2uFgAvZanSCG1tgwu6/9mf\n",
"xbRsWY8sKyHHcQYFDiMJTFJFsHt6ji6CLVVVJWTbtvr6qjJsH1mR7KGez+LFvbr77uSFuJvv7+Ha\n",
"kAwGhl7reOR8mfT0WoqGj0wh39+p/opGrUE/iNBfhcHnubfQ395hjFF9fX2xm0HwV+kI/ryBL48k\n",
"ty9ccwmGJI0pWMr1+UyefIy6urpKOhjw+XySAnk7H15VjPd3vkdqkTs+z72F/vYOgj8UBMGfN/Dl\n",
"MdBoLlxzOyao9vbajNMgjXG0efMh3XFHTdZpkq2tyWyhUjTn55KpbY7jlHwwkAwaq9XeHsr7+fAa\n",
"3t/eQn97C/3tHaUS/FHqAUDFsW1biURCiUQipyBFCiocrtaqVSGtWhVSOFwtqUZVVUfKGAxXe6+p\n",
"KaG+Pnfq4o3k+bhl5G0I6PDh4tcqBAAAR/CNC8CzUtM429tr1dBQpyVLxmnJknFqaKhTe3tIfX1+\n",
"9fZWSwrK5/MNWfduwYKE1q4trbp4xWKMUV+fpTVr/JwPAABKCN+4AEqGMUZ+v19+v78gAYFtJ9ej\n",
"PfJI9YAgJZGw9Mgj1frqV0M6cMDo5ptDIjly7owxeustIyl74AcAAAqP4A9A0WWfehl0LQgcbhqn\n",
"lJyWGAg42rXLp4ceqlZTU0J+f+Y1GRs3+nXuufGs2yVvFcl+7z1L55yTy/kYehppoX8QAACgkvFN\n",
"CqCohp56WSvLqnblot8YM+Q0Tik5Arh2bZVOOSWh224LKhhMZqnMpLPTL59PWbdL3imSbdu25s3r\n",
"UzxuDXs+gsHMyWOK8YMAAACVjnlMAIrKtgMZM0Kmpl5KUkeHo2JnhOztNdqwwZcu55CpdMH48Y46\n",
"OrJv90qR7FSB+J/+tErf/vbIz8eRHwSylYiwZAwlIgAAGClKPVQ4Sj14Q7mmijbGKByuVkNDXdYR\n",
"OL/f0datBxUK5fdiP9fH3rTpkK6/vlbPPVel5cu79bnP9Sge96Xr3vX1SQsXJhSLWbrpppCMcfSP\n",
"/xhRVZW0Zk3y97X+dfFSjy2Nvn5aOfR3KoB76KFqXXhhXIGAo7VrqyQ5Ou+8hI45xpHPl61IffaS\n",
"GpL3SkSUQ38jf+hvb6G/vaNUSj0w8gegaHKderlmTZVaWvK7Vi41OrV4cW/WIGPx4l7FYpY6O/3p\n",
"9XrJYCWuUMjoc59LyHGSgeCLL/p0xRWxdKDn9yfU0tKbfqzkfwPq6bHU2Zkslt7UFFdNTX4K0BdS\n",
"LjX/bNuWMTFdfbWjaNTS66/7dPLJCc2ZY8sYR1Kv+voyT/cMh4dfi7l0aUShkCmr8zYS/c+x4zhc\n",
"FAIA8oLgD4BnGZOcQihlnpb47W9HdPXV42Tblq68MjZgvd6RoCeuQMCopSU+4PZEov/jVMY0xmTh\n",
"9oDC4dwC2OTfUYVCRp/4RG6jncX8QaAUZDvHjnP4gxIazOQAAIwewR+AorFtW01NyYyQQ029dCtD\n",
"Zmp0qqPD0dKlkUHTOK++epx++Uu/WltjQ67XGy6gOXpdozGOmpoSWrAgGSH+279V66qrir+ucShj\n",
"CWBHO73Va4Y/x3ZZ/EgAAChdBH8AiibXqZduZsjsPzqVaRrn8uXdCgadDwK/kbfh6GmMzc1x3X13\n",
"RFVVjp5/Pjmyc+65cTmOJb/fV7IjO4VKzFPsHwSKqVySHwEAyhf5sgEUVXLqZUStrbEBNeH8fic9\n",
"4ubzZS8XkC+2bSsejyuRiCoQiKmlpUctLRGFQjFJ0VEHGv2nMTY3x7ViRbfuuSeo+fMn6CtfqdVX\n",
"vlKrk0+e8EEh+UBJljHItSZiNGqNuf39fxDIphJLZhTyHAMAvIuRPwBFlWnqpXQkQ+ZoR9zG2qZ8\n",
"P6Yxju6+O6JbbhnZyE4uyVXcVuh1eMOtxazEkhleX+sIACgMgj8ARdd/6uXRiVPK/Ro3NY3x/PPj\n",
"qqpycs5imTw2oN5eS++8k/x71ixbfr8jY+IFaftwjl67WF+fn84qxR8EAACoBAR/AEpGJSYGSU1j\n",
"vOqqXj3/fG4jO8m1h34dOmSpr0/atCn5UT1xYlw+n6Vjjw0oHi9cAJhpHd7gtYuO5s2zlUj4ZczY\n",
"+7GSfxDIxMtrHQEAhUPwBwBjkMu0TGN6df75lv7jP6pyvFefEgnpjjtqMk577OiI6MCBcL6ewrCO\n",
"TsyTWrt4yy3ul67Ifk6LPx02n0oh+REAoPIR/AHAKIyk5l1yGmNc559v5TSyk0hYw2Z9vPPOiPz+\n",
"wtV9S63DsyxHN94YG/Haxfy1Y2S1BsuJF9c6AgAKy3Icxxl+N5SrvXv3lmzqeOSPZVmaNm2adu/e\n",
"Ld7S7kvVY2tryzbyFZHjZBr5Cqq9vTbryE5ra0wdHRF1d0snnFA3ZJC4efMh1dXFCzr9MznSFlA4\n",
"bNTQMGHI9m3delChUH5r0o3+vJePVHAbjVoD1jqGQkaWFeXz3AP4PPcW+ts7jDGqr68vdjMo9QAA\n",
"I2XbAbW1JUe++gdAqZGvtraQbHtwYpdcyloEAn1au3b4tYGdnX5ZVvZ93JAcwUyos9Of09rFfJck\n",
"GO15LydH1jrG1NISUUtLRLW1vZo6dXxZB7UAgNJA8AcAIzCWemy2bctxYuroCGvr1oNavrxby5d3\n",
"a+vWg+roCMtxYnIcR7nETMbIU78Se60Onm3bSiQSSiQSsm274IE+AKAylf83JAAU0EjqsWUKQjKN\n",
"7PQvJN/X16empsSAkcGjJdcGJooyEtQ/K2U2bmSlHOt5BwAABH8AUBRHj+z0v72mxtbixb1Zj128\n",
"uFc1NSpa8JfKSpkNWSkBAChNZPsEULaKke6/EPXYcsn6OHHiOHV19YzuSYxRMbJSUgcPAICxI/gD\n",
"UHaKme6/EPXYkolVYurocLR0aWRA1sdg0JEUV1VVrjUD82+49iUDv/z2AXXwAAAYO4I/AGUlle6/\n",
"vd39AuPZ2+D+yNeRtYFGLS3x9G3Jf8VP/jF0+9x5TOrgAQAwNtT5q3DU+fMGb9UJyqVWXlhuFBjv\n",
"L1s9tmDQ/dHHfPV3MabNjlUxz3uxeOv9DfrbW+hv7yiVOn+M/AEoG8YYhcPDp/tfujSiUMi4Pv2z\n",
"0CNf+VLMabNjVc7nHQCAYiP4A1A2RpLuv6WlMIk/ymXELKUUps3mQ7mddwAASgHBHwB4iG0H1N4e\n",
"GjRtNpGw0rd1dDhye9osAAAoPOr8ASgbxSowXimMMerpGX7abDRqUSgdAIAKxLc7gLJBgfGxGcm0\n",
"WYI/AAAqD9M+AZQV0v0DAACMDsEfgLJSjALjlaL/tNlso39MmwUAoHIR/AEoO6T7H53+02az1Ulk\n",
"2iwAAJWL4A9A2SrldP+lWkCdabMAMDKl+nkOjAbBH4CSVY5fuLkWUC/Wc2PaLADkJtfPc6CcEPwB\n",
"KDnl+oWbSwF1n69XfX1VRX1uTJsFgKHl8nluTKxkv4+AbAj+AJSUcv7CHa6AekNDn/7P/1HJPLdy\n",
"GU3F0MpxhBwodcN9nktSR4cjKVqE1gGjRyEnACXFtgNqa0t+4fbPSJn6wm1rC8m2sxcpL5bhCqgb\n",
"4+jCC+Nl+dxQmpIBX1DhcLVWrQpp1aqQwuFqSUHqNAJjMNznuZRcMx2NWrzXUHZ4xQIoGeX8hTtc\n",
"AfWmpoSqqpyyfG4oPUdGyGvV0FCnJUvGacmScWpoqFN7e60sq5rXETBKw32eS8kf7dasqeJ9hrLD\n",
"KxZAyajkL9wFCxJ6/vnKfG4ovHIdIQcAFBdXGEVw6NAhPf/883ryySf161//WtEo88WBfDDGyO/3\n",
"y+/3FzyA6l9APbuhtgG5KecRcqAc5PJ57vc7am6Os8YWZYeELwXkOI4ef/xxPfbYYwM+LGpqavSl\n",
"L31Jn/rUp4rYOqD4+n/hZhshy/SFWwrZQYcroL5xo19f/GJsxM8NONpIRshbWng9ASM13Oe5JC1e\n",
"3Kvqaof3F8oOwV8B/fu//7uefvppTZ06VS0tLZoyZYp+//vf62c/+5nuv/9+9fb26rzzzit2M4Gi\n",
"Gc0XbillBx2qgPr06X0aP768LiZGm0WS7JMAyt1Qn+fJ75bIB3VRi9lKYOQsx3GYh1QAGzdu1F13\n",
"3aWJEyfqrrvu0vjx49Pb3nnnHd1yyy1yHEfLli3T9OnT8/a4e/fuVV9fX97uD6XJsixNmzZNu3fv\n",
"Vrm/pVPBXFtbtmAuIsfpH8wF1d5emzWgam2NqaMjrEKl406NQkaj1qAC6j5fXFJgBM8tM7f7O/Uc\n",
"enpGNpI62uMwtKP72xijcLhaDQ11Q44ib916UKFQaZZFQXaV9Hle7ob6PM/XZxr97R3GGNXX1xe7\n",
"GQR/hXLTTTdpx44d+qu/+is1NTUN2r5y5Uo9+eSTOvPMM3XDDTfk7XEJ/ryh0r48cv3CLeWL4Gyj\n",
"X/m4mHCzv0cefI/tOAwvc38P/6PHnXeGZVmsKS83lfZ5XgncnM1Af3tHqQR/TPssgHfeeUc7duxQ\n",
"dXW1PvnJT2bcp7m5WU8++aQ2bNigaDSqYDBY4FYCpSP5xRpVKGTU0hJP35b8d2S/Ul77lO0CIdfn\n",
"ViyjLWxMQeTCYkoaUDhMX0clIQ1YAbzxxhuSpLlz5yoQyJydbcqUKZoyZYp6e3v11ltvFbJ5QMmy\n",
"bVuJREKJRKLivnhL8bmNNosk2ScLz7ZtOU5ySvPWrQe1fHm3li/v1tatB9XREWaUFQCQEd/CBbBj\n",
"xw5J0qxZs4bcb+bMmQP2BzA00nHn12jrLFZyfcZSdmQUOaaWlohaWiIKhWKSorzeAQAZ8S1cAAcP\n",
"HpQkTZo0acj9Jk+eLEk6fPiw620CKkH/7KDZlFoGTSDfSnEUGQBQmljzVwCpIu7DreNLbe/p6XG9\n",
"TUClYO1T/oy2zuJojwMAAIXFyF8BWFb2qVD9pbI85bo/ANY+5dNoR1IZgQUAoDww8lcAqRG91Ahg\n",
"NrmOEEpSPB5XPB7PuM2yLNXU1KT/n2Cy8qX62Kt97TiOLCum2tojGTQdx/kgMKy88+JmfxsT17Jl\n",
"EUnZR1KluGzbystxGJ7X399eQ397C/3tHf37uKenZ8jSHlVVVaqqqnKlHQR/BVBXVydJ6urqGnK/\n",
"1PbU/kN54okn9Nhjj2XcNnHiRD3wwAOSkllE4R2lUD8GheNWf8fjcX3nOxF94xs9eu655JfPeefF\n",
"VVNjaeLEcVm/kEZ7HHLD+9tb6G9vob+95cYbb9SBAweybl+0aJEuv/xyVx6b4K8AUlk+t2/fPuR+\n",
"b7/99oD9h3LppZfqoosuyrit/y8L+/bto8i7B1iWpfr6eu3Zs4cisR5QqP5O1iJMTuVMjaR2dUVc\n",
"Ow6Z8f72FvrbW+hv7zDGaOrUqZL0/9u797Ao6/z/4y9G5KgiCIiKaLoewFNRJJaKX03dsixLQms7\n",
"af1aa6uttjYzl9yvXdu2lWmZ9bXWy1wra9XVDqSmaJppCVICKiAqIrGInFRATvP7w2smRgbkMAPk\n",
"/XxcV9dF933PPZ+Z98w4r7k/By1atOiSV/6chfDXCsLCwiRJ6enpKisrs3bJrC0nJ0f5+fny8PBQ\n",
"3759L3nOxl4ONpvNfJgYCPU2FmfXu7k/HPGDk3Pw/jYW6m0s1PvyV7u+9rJAa2HCl1bQq1cv9e3b\n",
"VxUVFdq+fbvdYzZv3ixJioiIqHcheAAAAABoLsJfK5k5c6Ykad26dSosLLTZd+TIEW3atEmurq6a\n",
"Pn16WzQPAAAAwGWObp+t5Morr9SNN96ouLg4vfDCC5o2bZoCAwOVkZGhjRs3qqamRrNnz2bALwAA\n",
"AACnIPy1ovvvv1+dO3fW2rVrtXz5cut2T09PPfrooxo7dmwbtg4AAADA5Yzw18ruuOMO3XDDDdq/\n",
"f7+Ki4sVEBCg8PDwRq3tBwAAAADNRfhrAz4+Pho3blxbNwMAAACAgTDhCwAAAAAYAOEPAAAAAAyA\n",
"8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAAhD8AAAAAMADCHwAAAAAYAOEP\n",
"AAAAAAyA8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAAhD8AAAAAMADCHwAA\n",
"AAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAAhD8AAAAA\n",
"MADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAA\n",
"hD8AAAAAMADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/\n",
"AAAAAGAAhD8AAAAAMADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAA\n",
"AADAAAh/AAAAAGAAhD8AAAAAMADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAADcG3rBhhN\n",
"aWmpEhMTlZ+fL19fX4WHh6tz585t3SwAAAAAlznCXxN88sknWrt2bYPHLFy4UAMGDLC7b+vWrVq5\n",
"cqXOnz9v3ebq6qqYmBhNnTrVoW0FAAAAgNoIf80QHBwsX19fu/u8vb3tbv/yyy+1cuVKde3aVTNm\n",
"zFDv3r118uRJbdiwQatXr9bZs2d11113ObPZAAAAAAyM8NcMU6dOVVRUVKOPP3bsmD744AN5eHho\n",
"wYIFCgoKkiQNGzZM1157rf785z9rw4YNGjFihIYMGeKsZgMAAAAwMCZ8aQVr1qyR2WzWTTfdZA1+\n",
"Fn5+foqJiZEkffjhh23RPAAAAAAGQPhzsrNnzyopKUmSNH78eLvHjB49Wh07dlRGRoby8vJas3kA\n",
"AAAADILw52RpaWmqqalRUFCQAgIC7B7j4eGhQYMGSZIOHTrUms0DAAAAYBCEv2Ywm82NPvbEiROS\n",
"pJCQkAaP6927t83xAAAAAOBITPjSDMuWLdPy5cvVqVMnBQcHa8SIERo/frw6depU59ji4mJJkr+/\n",
"f4PntOy3HA8AAAAAjkT4a4KgoCANHTpUNTU1Ki0tVV5enpKTk5WcnKyNGzfq6aefVmhoqM1tysrK\n",
"JF3o2tkQy/7y8nLnNB4AAACAoV224S8pKck60UpThYSE2J2cZezYsRo7dqzNtvT0dK1evVoHDx7U\n",
"K6+8osWLF6tLly7W/S4uLpKa1lXUkUwmU5vdN1qP5XVGvY2BehsL9TYW6m0s1Ns4TKb2Mdrusg1/\n",
"6enpiouLa9ZtIyIi6p2Z82IDBgzQ888/r2effVY///yztmzZojvuuMO6v7FX9Cz7PT09G3W/lZWV\n",
"qqystLvPxcXFep76JpnB5al79+5t3QS0IuptLNTbWKi3sVBvYykrK2sw7Hfs2FEdO3Z0yn1ftuEv\n",
"Ojpa0dHRrXJfbm5umjRpklauXFlnts6uXbtKkvLz8xs8h2W/j49Po+5z/fr1+ve//213X79+/fTy\n",
"yy836jwAAAAAWs+CBQuUmZlZ7/7p06frzjvvdMp9X7bhr7X17NlTknTmzBmb7ZZZPo8fP97g7S37\n",
"LzUrqMW0adN0880317u/qKhIL7/8smJjYxt9NRG/XmVlZXryySe1aNEi6m0A1NtYqLexUG9jod7G\n",
"UlZWpgULFuiZZ55psN7OuuonEf4c5vz585IkLy8vm+0DBw5Uhw4dlJeXp59//lk9evSoc9vS0lKl\n",
"paXJxcVFgwcPbtT9NeZycGZmJv3HDcJsNqugoIB6GwT1NhbqbSzU21iot7GYzWZlZmbK09OzTmZo\n",
"Le1j5OGvQEFBgbKysnTu3Dm7+w8cOCDpQpfL2ry8vBQeHi5J2rJli93bxsfHq6qqSoMGDbrkkhAA\n",
"AAAA0ByEv0batGmTnnnmGa1evbrOvqysLMXHx0tSndlAJenOO++UyWTS5s2b6yzinpeXp7Vr10qS\n",
"YmJinNByAAAAAKDbZ6NNmDBBcXFx2rp1q86ePatRo0apU6dOOnLkiDZs2KCqqipNnDjR7pi9kJAQ\n",
"3XPPPVq5cqUWLFig2267TSEhIcrOztaGDRt07tw53XbbbQoLC2uDRwYAAADACAh/jRQYGKh58+Zp\n",
"yZIl2rt3r/bu3WvdZzKZNGnSJD3wwAP13v6mm26Su7u7Vq5cqVWrVlm3u7q66u6779bUqVOd2n4A\n",
"AAAAxkb4a4JBgwbpzTffVHJysk6cOKHKykr5+Pho2LBhjRqrN2HCBI0aNUqJiYk6ffq0unbtqvDw\n",
"cHXu3LkVWg8AAADAyAh/TWQymTR8+HANHz68Wbf38vLS6NGjHdwqAAAAAGhYhxdffPHFtm4EnMNk\n",
"MmnIkCHq0KFDWzcFrYB6Gwv1NhbqbSzU21iot7G0db1dzCwsAgAAAACXPZZ6AAAAAAADIPwBAAAA\n",
"gAEQ/gAAAADAAAh/AAAAAGAAhD8AAAAAMADCHwAAAAAYAIu8X6YqKiq0f/9+5ebmqnPnzhoxYoS6\n",
"devW1s1CIxUXF2v//v0qKipSYGCgwsPD5eHh0aJzZmRkKC0tTTU1Nerfv79CQ0Md1Fo4kjNqj/bH\n",
"0XXOy8tTSkqKCgsL5erqqoCAAA0ZMkRdunRxYKvRXI6st9ls1uHDh3X06FGVlZXJw8NDwcHBGjp0\n",
"qEwmftNva3yGG8+vreaEv8vQvn379M477+jMmTPWbS4uLrrpppt09913N3tRyXPnzumLL77Ql19+\n",
"qbKyMk2fPl3R0dGOajZ04R/1devW6d///rdqamqs2z09PTVr1iyNHTu2yecsKCjQW2+9pZSUFJvt\n",
"/fr10xNPPKGgoKAWtxst54zaS9LPP/+sdevWaefOnTKbzYqNjVVYWJijmo0mcnSdq6qq9N577yk+\n",
"Pr7OPldXV91xxx26/fbbW9xuNI+j652Tk6PXX39dJ06cqLPP399ff/rTn3TFFVe0uN1oOmd9hl9s\n",
"+/btWrZsmSRpzZo1DjknmsfRNc/Ly9Njjz3W4DE33HCDHnrooWa114Lwd5nZu3evXn/9dXl6eiom\n",
"Jka/+c1vlJ+fr88//1xffPGFioqK9Pjjjzf5vOvWrdOGDRtUXl5u3ebi4uLIpkPSypUrFRcXp+7d\n",
"u+vWW29VYGCgjhw5oo0bN2rp0qWqqKjQDTfc0OjzlZSUaMGCBcrNzdXIkSOtH0Tfffeddu3apdjY\n",
"WC1cuFABAQHOekhoJEfX/vz581q+fLl27dols9nsxJajKRxd51WrVik+Pl49evTQlClTFBQUpJKS\n",
"En333Xf64YcftGbNGvXs2VORkZFOfFSojyPrXVVVpb///e/Kzc3V0KFDNX78ePn4+KigoEBxcXHK\n",
"zMzUP/7xD73xxhtyc3Nz8iPDxRz93rYnJydH77//voNajJZyVs29vb3Vr18/u/uCg4Nb2mzC3+Wk\n",
"sLBQb7/9tkwmk5577jkNHjzYui8yMlLz58/Xt99+q+HDh2vcuHFNOvfWrVtVUVGhkSNHSroQMuFY\n",
"iYmJiouLk5+fnxYuXGjtrjVs2DCFh4fr+eef14oVKxQWFqaePXs26pzLly9Xbm6uJkyYoP/3//6f\n",
"dfs111yjgIAArV+/Xm+//bZiY2Od8pjQOM6ofXFxsXbu3ClPT0+NGzdOKSkpysrKcubDwCU4us4V\n",
"FRX6+uuvZTKZFBsbK19fX+u+66+/Xv/85z+1adMmffHFF4S/NuDoeqempio3N1fBwcGaN2+eTRfP\n",
"iIgIPf744zp9+rQSEhI0atQopz0u1OWMz/CLVVRUaNGiRaqoqHBk09FMzqx5nz599MILLzij2ZKY\n",
"8OWysn79epWXl+v666+3CX6S5OXlpfvuu0+S9PHHHzf5SsDkyZP15ptv6qmnnnLIrw6o68MPP5Qk\n",
"RUdH1xmnExISoilTpqiqqkqffPJJo86XmZmp77//Xh4eHvrd735XZ390dLT8/f2VmpqqpKSklj8A\n",
"NJujay9JHh4euvfee/XOO+/o/vvvl7e3t0PbjKZzdJ1NJpP+8pe/aOHChTbBz8LyI9/x48db1nA0\n",
"i6PrHRwcrD//+c967LHH6ozt8/T01KBBgyRd6DqG1uWMz/CLffDBB8rKytLkyZNb1FY4RmvU3FkI\n",
"f5eJmpoafffdd5Kk8ePH2z1m+PDh6tatmwoLC+uM/7qUqVOnyt/fv8XthH1ZWVk6ceKE3N3dNXr0\n",
"aLvHTJgwQZKUkJBg0/22Prt27ZIkjRw5Ul5eXnX2d+jQQVFRUTbHovU5o/aS1KVLF02ZMqVdDzo3\n",
"EmfU2dXVVYMGDVL//v3t7q+srJQkdezYsZmtRnM5o95+fn4KDw9X37597e4vLS2VJCZ3a2XO+gyv\n",
"bc+ePdqyZYv69u2re+65p0XtRcu1Rs2difB3mcjJyVFJSYnc3Nysv/7ZM3z4cEnSoUOHWqtpaISD\n",
"Bw9KkgYOHFjvWI3AwEAFBgaqoqJCR48ebfQ5LTW3x7Lv8OHDTW0yHMQZtUf70xZ1/vbbbyVd6EKE\n",
"1tXa9c7MzFRqaqo6deqkK6+8skXnQtM4u9Z5eXl699135eHhoSeeeIIfc9qBX/u/24S/y4RlLE+v\n",
"Xr0anM2zd+/ekqTs7OxWaRcaxzJzW0hISIPHWepnb6a32sxms7XGDZ3Tsu/UqVOMI2gjjq492qfW\n",
"rvOePXu0adMmSWrxJBNoutas9/79+/W3v/1Nrq6u+sMf/qBOnTo1+1xoOmfWuqqqSosXL1Zpaalm\n",
"zZrV7PGCcKxf+7/bTPhymSguLpakS3bNtMzqaDke7UNRUZGkxtevpKSkwePKy8utYa6hc3p5ecnD\n",
"w0Pl5eUqKSmha28bcHTt0T61Zp137Nihd955R9KFYQDXXXdds8+F5nFmvUtKSrR48WJVVVUpNzdX\n",
"RUVFuuqqqzRjxox6u4TCeZxZ648//lgZGRkaM2aMdZgG2p6zP89TU1M1c+ZMeW64POkAABu/SURB\n",
"VHh4KDAwUAMGDND48ePrnQG0qQh/l4mysjJJuuT4Hsv+9tb/2Ogs9Whs/Sz1rk/t/Y05Z3l5+SXP\n",
"CedwdO3RPrVGnc1msz799FOtXbtWknTLLbfYnewJzufMeldWVio5OdlmW3p6unbu3KnAwEC7Y7zh\n",
"PM6qdVJSkj777DP16NGjxeu6wbGcVXN3d3cNHTpU0oXlmgoKCnTs2DEdO3ZMW7ZscdhnOuGvDSUl\n",
"JTV7lsWQkBCbiV0sa+5dahZP1vtqnxq7ZqKlfpc6vjlrMLJuY9twdO3RPjm7zuXl5VqyZIkSEhLk\n",
"5uamBx98kCsFbciZ9e7WrZvWrFmjmpoaFRYWKjk5WWvXrtXnn3+uxMREvfTSSwTAVuSMWhcWFuqt\n",
"t95Sx44d9cc//lHu7u4taiMcy1nvbx8fH82fP99mW2FhoTZv3qz169frs88+U8+ePeud2LGxCH9t\n",
"KD09XXFxcc26bUREhE3xPT09JV36ip5lv+V4tA+NvSLb2F+bate3vLy8wS8CjT0nnMPRtUf75Mw6\n",
"l5aWauHChTpy5Ij8/Pz07LPP6oorrmh+Y9FirfG+NplM6tatm6KionTNNdfoueeeU05OjjZu3KgZ\n",
"M2Y0vdFoFkfX2mw2a8mSJTpz5oweeOABuvK2Q63577avr69iYmLk4uKitWvXav369YS/X7Po6GhF\n",
"R0c75Fxdu3aVJOXn5zd4nGW/j4+PQ+4XjtHU+lmOr4+7u7vc3d11/vx5nTp1qt7Z/s6dO6fy8nKZ\n",
"TKY669SgdTi69mifnFnnJUuW6MiRIwoJCdHzzz9vd80/tK7Wfl97e3vrrrvu0htvvKEdO3YQ/lqR\n",
"o2t96tQppaamSpJWrFihFStW1HtsTEyMJCk2NlZhYWGNbjNapi3+3b7pppu0du1a5eXlqbCwsEWf\n",
"84S/y4RlxqGcnBxVVVXJ1dV+aS2L/V5qhiK0Lks9jh071uBxja2fi4uLevfurYyMDB0/frze8Gc5\n",
"X2BgYL3TFcO5HF17tE/OqvOePXu0f/9++fn5ae7cuQS/dqIt3tcjRoyQdKGbWGVlJUsCtBJH19oy\n",
"7quhroIHDhyQJA0bNkySmOG1lbXF+7tTp07y8fFRcXGxzpw5Q/iD1KNHD3Xt2lVFRUVKTU21u7Zb\n",
"TU2NfvrpJ0lSaGhoazcRDbD8Ypeenq6ysjK73XJzcnKUn58vDw+PRnUDCQsLU0ZGhpKSkjR27Fi7\n",
"x1jGnPJ6aDvOqD3aH2fV+dNPP5UkPfjgg/Lz83NYe9EybfG+towvMpvNDS75BMdydK3tjfu6mOWK\n",
"3wsvvNC8RqNF2urf7fPnz0tSi8f0ss7fZcLFxUXXX3+9JGnz5s12j9m3b58KCwvl7++vwYMHt2bz\n",
"cAm9evVS3759VVFRoe3bt9s9xlLXiIiIRl2lGz16tCTp+++/tzvNcEVFhXbs2GFzLFqfM2qP9scZ\n",
"dU5LS1N2draCg4N19dVXO7K5aCFn1Ds3N1cJCQnWdX0vZtnes2dPmUx8vWstfIYbjzNqXlFRoays\n",
"LOXl5dndn5GRofLycnXp0qXFy3Lx6XAZufXWW+Xp6akffvjBeoXP4uzZs1q1apWkX34xqi0mJkYx\n",
"MTF69NFHW6WtqGvmzJmSpHXr1qmwsNBm35EjR7Rp0ya5urpq+vTp1u0pKSnW2r399ts2t+nTp49G\n",
"jRqlyspKffDBB3Xu76OPPlJRUZGGDBlinVoYbcPRtUf75Og6Z2RkSJLD1n6CYzm63snJyXrllVe0\n",
"fPnyOvdVU1OjTz75RJI0ZswYRz8UXAKf4cbj6JqfPn1azzzzjObNm1dnaYjq6mqtXr1akurtydUU\n",
"dPu8jPj4+GjOnDlatGiRXn31VU2dOlUDBgxQfn6+Nm7cqLy8PF1//fUNvnCYRr7tXHnllbrxxhsV\n",
"FxenF154QdOmTVNgYKAyMjK0ceNG1dTUaPbs2QoKCmr0OWfNmqWjR49q586dKi0ttc4QtXPnTu3Z\n",
"s0e+vr6aM2eOsx4SGskZtUf74+g6nzt3TtKFUPC///u/DR5766232h0OAOdxdL0jIyP14YcfKi0t\n",
"TQsWLFBUVJS6deum4uJibd68WYcPH1ZISIhuvvlmJz8yXIzPcONxdM179OihK6+8UklJSZo7d65u\n",
"vPFG9ejRQyUlJYqLi1NGRoZ8fX11++23t7jthL/LzMiRI/WnP/1J7777rnUsiHRhSugpU6Y4ZHFI\n",
"AqLz3H///ercubPWrl1r8+uup6enHn300TrB/VK16NKli2JjY/XWW28pISFBCQkJ1n39+/fX448/\n",
"roCAAMc+CDSLo2t/Md637YMz6lxQUKCCgoIGj3HEr8VoOkfWu1OnTnruuee0aNEipaamWmeEtLjm\n",
"mms0Z84cuhW2EWd/hqP9cXTN//jHP2rp0qX64Ycf9M9//tNmX58+ffTkk0/K29u7xe12MbPq92Wp\n",
"oqJCiYmJysvLU6dOnTRixAh169atrZuFRiouLtb+/ftVXFysgIAAhYeHt3h9t4yMDKWnp6umpkb9\n",
"+vVjkpd2yhm1R/tDnY3FkfWurq5WcnKysrOzVVlZqS5duig0NFQ9evRwcKvRHLy3jcfRNT958qQO\n",
"HTqkkpISeXh46IorrnDoXB2EPwAAAAAwACZ8AQAAAAADIPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAA\n",
"hD8AAAAAMADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/\n",
"AAAAAGAAhD8AAAAAMADCHwAAAAAYAOEPAAAAAAzAta0bAAAwnk8++URr166VJK1Zs6aNW4OmePTR\n",
"R5Wfn6+oqCg98sgjrX7/JSUlWrdunRISElRQUCBPT0+Fhobq6aefbvW2AMCvDeEPANqhpUuX6ptv\n",
"vmn27dvqi3l70NBz5+HhoaCgIA0bNkyTJ09WQEBAK7cOLXH27FnNmzdPeXl5Nttq/39zFBUV6ZFH\n",
"HlF1dbVcXV317rvvqlOnTi1tLgC0O4Q/AGiHOnToIJPJfs/8mpoa69/1HVPfdmfbvn278vLydMUV\n",
"VygiIqJN2lBb7eehpqZG5eXlOnbsmI4dO6ZNmzbp4Ycf1ujRo9uwhWiKzz//XHl5eXJ3d9dDDz2k\n",
"8PBweXt7q6qqqkXn3bZtm6qrqyVJVVVV2rVrl3772986oskA0K4Q/gCgHfr973+v3//+93b3LViw\n",
"QKmpqQoICNBbb73Vyi1r2Pbt23Xw4EFFRUW1i/D35ptvyt/fX5JUWlqq3Nxcbdu2TVu2bFFFRYWW\n",
"LVumgQMHKjAwsI1bisZISEiQJI0bN05jxoyxbnd1bf7XmZqaGm3dutVmW3x8POEPwGWJCV8A4FfG\n",
"bDa3dRN+lby8vNSvXz89+OCDmjhxoqQLV3ku/uKP9uu///2vJCkkJMRh59y/f7/y8/Pl4eGh8PBw\n",
"SdKxY8d0/Phxh90HALQXhD8AgOFcd9111r9PnDjRhi1BU5w/f15Sy670XWzz5s2SpLFjx+qWW26x\n",
"bo+Pj3fYfQBAe0G3TwC4jOXl5emxxx6TJD3yyCOKiopSfHy8Nm3apOzsbFVWVmrp0qXy9/dXTEyM\n",
"JGn69OmKjo62e77t27dr2bJlkn6ZpTMlJUV//etfbY7bsWOHduzYYf1/f39/LV26tN52lpaWauPG\n",
"jdqzZ49OnTolNzc39e/fXzfffLOuvPLK5j8B9ejatav1b8tYL3tycnL0+eef68CBAyooKFDHjh0V\n",
"HBysUaNGaeLEiXJzc7Me+/333+u1116TJL366qvq3bu3zblqamo0e/ZslZaWqlevXnr99dft3uec\n",
"OXNUUFCghx56SDfccIPN7Xft2qWdO3fq6NGjOnfunLy9vRUUFKSIiAhNmjRJnp6eNueqXZvY2FgN\n",
"HjxYX375pbZt26bc3FxVV1fXmW01NzdX69ev108//aTi4mL5+Pho8ODBmjZtmkOuuCUmJmr79u1K\n",
"S0tTSUmJ3N3d1bNnT0VEROi3v/2tPDw8bI6v/Rq2WLZsmfV1KDV/gqO8vDwlJSVJkiZPnqzg4GD1\n",
"6NFDP//8s3bu3Knf/e539QbNpjy3F8+QmpSUpM8++0xHjx5VZWWlAgICdN111+m2226z3t+hQ4f0\n",
"n//8R+np6aqoqFCfPn10yy23aOTIkU1+nABgQfgDAIMwm82NmkXUxcWlSed1cXGxTqxS32Q0DV2p\n",
"yc/P11//+ldrlz7pQnfMAwcO6MCBA3r44Yc1fvz4JrXpUrKzs61/9+jRw+4xmzdv1ooVK2weU1VV\n",
"ldLT05Wenq74+Hg9//zz8vPzkyQNGzZMJpNJNTU1SklJqRP+0tLSVFpaKkk6efKk8vLy6ow1PHny\n",
"pAoKCiTJJvSeOXNGr7zyitLS0myOP3PmjM6cOaP09HR9+eWXio2NVc+ePe0+noqKCv3tb3/TTz/9\n",
"VO/zsm/fPi1atMhmApWCggLt3r1b+/bt04IFC+q97aWUl5frrbfe0g8//GCzvbS0VBkZGcrIyNBX\n",
"X32lZ599Vv369bPut/f6cnFxsXmdNneCoy1btkiShgwZouDgYEnShAkT9K9//Utnz55VQkJCo8JW\n",
"Y55bi82bN+v999+32Xby5El9+umnysrK0lNPPaWvv/5a7733nk0X7/T0dL3++uuaPXu2Jk2a1JSH\n",
"CQBWhD8AMIgNGzYoNzdXd955pyZOnChvb29lZ2e3eEr7sLAwffTRR5KkF1980TrhS2OvxLz22msq\n",
"LS3VH/7wB0VERKimpkaJiYlasWKFzp49q1WrVmn06NE2V9laorKyUuvXr5d0IUSMHTu2zjHbtm2z\n",
"fkG/+uqrdeeddyo4OFglJSXatm2b1q9frxMnTmjp0qWaP3++JMnT01MDBw7UoUOHlJqaWmfCEMsV\n",
"JouEhATdeOONNtss4aFnz57WiWrMZrP+8Y9/KC0tTSaTSTNnztSYMWPk6+urc+fOad++fXrvvfdU\n",
"VFSkFStWaN68eXYf98qVK3X69GnNmjVLY8aMkZubmzIzM637T548aQ1+fn5+uu+++xQeHi6TyaS0\n",
"tDStWrVKS5YsafbMmrWDX2RkpG6//Xb17t1bZ8+e1a5du/Txxx+rsLBQL730kv7+979bH39AQID1\n",
"9WW5Oj1nzhxFRUU1qx0WVVVV1q6dkydPtm4fN26cPv74Y+v+xoS/Sz23FtnZ2fr222/Vr18/zZo1\n",
"S/3791d2drYWL16s7Oxs7d27V//617/0+eefa9iwYbr33nvVq1cvHT58WEuWLFFBQYE+/fRTwh+A\n",
"ZmPMHwAYRE5Ojh544AHdcccd6tKlizp06KA+ffrU6WbX2rKysjR37lyNGTNGHh4e8vLy0ujRo3XX\n",
"XXdJunBl6NChQ806d+0rJ6WlpUpISND8+fOtX8xvvfVWm6tM0oUrXZbgFxERoWeffVZ9+/aVq6ur\n",
"/Pz8NH36dGs3xOTkZJsv+SNGjJAkHTx4sE5bfvzxR0nSwIEDJV3o/ngxS/iznMdyrsOHD0u6cFVq\n",
"6tSp8vX1lSR5e3srKipKU6ZMkSQdPXq03uciJydHTz31lCZPniwvLy+5urpa2yJJq1evVlVVlTw9\n",
"PfWXv/xFkZGRcnNzk6urq8LCwvTiiy9KurAmXlMlJiZag9/kyZP15JNPqk+fPjKZTOrSpYtuuukm\n",
"zZs3Tx06dNDZs2f1wQcfNPk+mmrPnj06c+aMunXrZjMzbefOna3//+OPPzbq8V7qubU4cuSIunfv\n",
"rr/85S8aMGCATCaTQkJC9NBDD1mP+eyzzxQaGqq5c+eqd+/eMplMCg0N1axZsyRdWOS+9pVrAGgK\n",
"wh8AGIS/v3+7vGIwceJE9e/fv872IUOGWP/Oyclp1rkfe+wxzZgxQzExMXrggQf0yiuv6OjRo3Jz\n",
"c9Pdd9+tmTNn1rnN5s2bVVVVJVdXVz388MN2zxsZGWntJmgJddIvoa2kpERZWVnW7SUlJcrMzJTJ\n",
"ZNI999wjSUpNTVV5ebn1mOrqaqWmptqcR5J69eql2NhYxcbGavr06Xbb0717d0nSuXPn6n0uBg8e\n",
"XO/4yeLiYusyClOmTLHbFdbd3b3e+78Uy6QqXbt21b333mv3mEGDBlmvwH3//fcqKSlp1n01tU03\n",
"3HBDnW6jlrGWNTU1NmNX69PQc3uxBx98sM7YzN/85jfWbqwmk0lz5syp06ba75GWLmoPwLgIfwBg\n",
"EFdddVVbN8GuyMhIu9stV7ckWcfKNZXZbK6zNEZoaKgWL16sqVOn2r3NgQMHJF3o7tm5c+d6z20Z\n",
"01f7Kky/fv2s3WgtQU765YrewIEDNXDgQPn7+6uqqspmjFh6errKy8vVsWNHm+Dr4+OjsLAwhYWF\n",
"2UxUY1FTU2MNfbXHJ17s6quvrndf7bGEDa3P2JzXkNlstl65jIiIaHD856hRo+rcxhmysrJ0+PBh\n",
"ubq62kyqYzF06FAFBQVJujDJ0aU09NzW5ufnp7CwsDrbXV1dra+b+tadrN09u7nvBwBgzB8AGESv\n",
"Xr3augl2XTwxikXtMX4NhZqGWGYyraio0MKFC3X48GEdPHhQGzdu1P3332/3Nj///LMkae/evdYx\n",
"Zg05e/as9W8XFxcNHz5cu3fvVkpKinXcn2W8n+WK3lVXXaUtW7YoISFB1157raRfAuLgwYMbHN9Y\n",
"Xl6upKQkpaamKi0tTSdOnGjUOLz6JoKRpFOnTln/toQee7y9veXt7d3gFcaLlZWVWcPKpV6Dlqup\n",
"knT69OlG30dTWa76RUZGqkuXLnaP+Z//+R999NFHysnJUVpamt1unBYNPbe19enTp959lprXd0zH\n",
"jh2tfzc0Qy0ANITwBwAGcXFXs+ZobghriLe3t93tTZ11tCFubm567rnnNH/+fGVnZysuLk7XXHON\n",
"hg4dWufYsrIy6/03pg0XfxEfMWKEdu/ebR2naDabrcHO0jUwPDxcW7Zs0f79+623szfer7acnByt\n",
"X79ee/bsUUVFhSSpQ4cO6tevn9zd3ZWcnNxgOxuqf+3up+7u7g2ex93dvUnhr/a5LzW+tPZ9W+rg\n",
"aOXl5dq5c6ckadeuXdq1a9clb7N9+/YGw19j31sNTa5kea21xvsBgHER/gDAIBr75bGhgFf7Ktev\n",
"jZeXl2bPnm1drmDNmjV2w5+Hh4dKS0s1e/ZsTZw4scn3c/G4v5qaGhUXF6tLly7WyWWGDh0qV1dX\n",
"FRcXKyMjQz179lRGRobN7WvbunWr3n//fVVXV8vd3V1jxozRtddeq+HDh8vDw0Pbt2+/ZPhrqP61\n",
"rzSWlZXJy8ur3mOb2uWwdjC61G1rB76G2tAS33zzjU0gbYzdu3fr/vvvr/eKbGPfW41ZkqJDhw5N\n",
"ahsANAXhDwAgSdY16s6fP1/vMceOHWvwHJYvwe21W1pYWJgiIyO1Z88epaWlaf/+/XXGsQUFBSkz\n",
"M9Pa/bOpfH19FRISoqysLKWkpFifz+HDh1uPcXNz05AhQ/Tjjz8qMTFRBQUFMpvN1tvWlpubq+XL\n",
"l8tsNqtv3756/vnn5ePjY3NMS0O5ZVkF6cKSDwMGDLB7XGFhYZODk6enp3x8fFRcXHzJ10/t/Q11\n",
"P20Jy9p+MTExmjBhQoPHpqSkaPHixSorK9OePXvsLgsCAL8mTPgCAJD0y5WW3Nxcu/stSyU0xHKV\n",
"pznLAbSWmJgYa0i1rB9X27BhwyRdWAqgobF0NTU1qq6urjOhjPTL1buUlBTrbKAXX9GzhM6EhARr\n",
"l8/aAdEiKSnJeh/33XdfneAn2c442hyDBg2y/r1v3756j7t4gfbGsjyn+/bta7A75zfffCPpQjiu\n",
"3SZHOXTokLKysuTq6qqJEyfKx8enwf9Gjhxp7arZmIlfAKC9I/wBACT9MvFKcnJynTFdZrNZ77//\n",
"/iWv+lgmvjhy5EiDVxDbUs+ePTV69GhJ0vHjx/Xtt9/a7J84caJMJpNOnz5tXe/vYpWVlZozZ47u\n",
"uusurVq1qs7+2uHv8OHDcnFxqbMUgCX8HTt2TN9//70k2V0uoPbzaG+mzN27d9vMGmoZD9gUvr6+\n",
"1uD51Vdf2f0BoKSkROvWrWvyuSVZ1yEsLS3V//3f/9k9JjEx0bqswtixY52y/qRlopdLzeRq0aFD\n",
"B+tstCkpKTYT4wDArxHhDwAg6ZclF8rLy/XSSy8pMzNTVVVVysrK0quvvqpdu3Y1OOmFJI0cOVLS\n",
"hbFbr776qrKzs1VRUaGMjAybgNLWoqOjreOvPvnkE5txjgEBAdZZPrdt26aXXnpJBw8eVEVFhSoq\n",
"KpSenq6FCxeqqKhILi4u1uUJagsNDZWbm5tKS0tVXV2tvn371plVMigoyNq1sbi4WCaTye6Vv9rP\n",
"+bJly5SWlqbq6mqdOnVKq1ev1ptvvmkz22RzlwG455575OrqqvLycsXGxmr37t0qLy9XRUWFEhMT\n",
"NX/+fHXr1k1+fn5NPne/fv00bdo0SRfC6ssvv6zMzExVV1eruLhY//nPf/Taa69JurAcgr31F1uq\n",
"pKREe/fulaRLdveszfJDgcTVPwC/foz5AwBIurCwtaUL4pEjRzR37lzrPhcXF0VHR8vf399mTbiL\n",
"DRgwQBMnTtSWLVv0008/6emnn7bui4qKshtu2kL37t0VFRWl+Ph45ebmauvWrTaTu9x2220qLy/X\n",
"+vXr9dNPP9kNriaTSTNnzrQ7Ps7V1VVhYWF1lni42FVXXaW4uDhJtmsE1hYaGmodp5iTk6P58+fb\n",
"3M/s2bPl6+urV155RdKFbrv21gO8lJCQED355JN64403VFRUpMWLF9vs79atm5588knFxsY2+dyS\n",
"NGPGDFVXV2vjxo3av3+/zUynFt27d9fcuXMbnBWzueLj41VVVSV/f/9662FPaGiounXrptOnT2vH\n",
"jh2Kjo52eNsAoLUQ/gDgV8ZZU767urpq7ty52rJli+Lj43Xy5Em5ublpwIABuuWWWzRkyJBGXfmY\n",
"PXu2unfvru3bt+u///2vTCaTAgICbK5gOXPa+saee/r06dq5c6eqqqq0bt06jRs3zmYttRkzZigy\n",
"MlJfffWVUlJSrOMY/fz8FBoaqkmTJlln77RnxIgR1vBnrzundGHJB0v4ayiQPPHEE7riiisUHx+v\n",
"/Px8derUSWFhYZo2bZpCQkKUk5NjPfb48eMaPHhwk54Li2uuuUavvvqq1q1bpwMHDujMmTPy9fXV\n",
"tddeq9tuu61RXSUbcvfdd2vkyJH66quvdPDgQRUVFcnd3V29evVSZGSkJk2aZFMDRzGbzfr6668l\n",
"SePGjWvy7a+//npt3LhRp06dUnJysoYOHcrSCwB+lVzM9kaqAwAAAAAuK4z5AwAAAAADIPwBAAAA\n",
"gAEQ/gAAAADAAAh/AAAAAGAAhD8AAAAAMADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4AwAAAAAD\n",
"IPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAAhD8AAAAAMADCHwAAAAAYAOEPAAAAAAyA8AcAAAAABkD4\n",
"AwAAAAADIPwBAAAAgAEQ/gAAAADAAAh/AAAAAGAA/x9DVlH+n3tSiwAAAABJRU5ErkJggg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11b87fad0>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 447
}
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(armrewards2, pulled_count2)\n",
"plt.title(u'Pull counts of Thompson Samplign with stop')\n",
"plt.xlabel('Truth Reward of Arm')\n",
"plt.ylabel('Count')"
]
},
{
"cell_type": "code",
"execution_count": 192,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11bc49c50>"
]
},
"execution_count": 192,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA44AAAKTCAYAAABWyFZlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3XtYVXWi//HP2myuKuIFRRMkxxxFRdRqNJtUvEzHsRpL\n",
"LWus7DTTOGZmxxr7PZWa41iZZU2WlJ1Rm7TSMsdj5CW10lEjzRtoWIp3RFREBJHNXr8/PKzDFlhs\n",
"cCPqfr+ex+dZrO9lfdf+ovJhrfVdhmmapgAAAAAAqICjtgcAAAAAALiyERwBAAAAALYIjgAAAAAA\n",
"WwRHAAAAAIAtgiMAAAAAwBbBEQAAAABgi+AIAAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYI\n",
"jgAAAAAAWwRHAAAAAIAtgiMAAAAAwBbBEQAAAABgy1nbAwAAAKgJLpdL3377rXbt2qWePXuqffv2\n",
"tT0kALhqccURAOBzEydOlMPhkMPh0KRJk8qUl5Q5HPw3BN8rLi7WjBkzFB0drT59+ujxxx9Xx44d\n",
"1aJFi9oeWoV27typCRMmqHv37mrRooWCg4NVv359tW7dWvfdd5/mz58vl8tV28ME4Mf4HxsArnK9\n",
"evXyCGKl/wQGBqp+/fq6/vrr1adPHz333HPauXPnZR2fYRjVKgOqw+Vy6c4779RTTz2lY8eOeZQd\n",
"PXq0Sn3FxsZaf5fmzp3rdbu1a9da7UaMGGFb99ixY3rooYcUHx+vyZMna9OmTTpy5IiKiop05swZ\n",
"7d27V5988ol+//vfq2PHjkpNTbU9XkX/DtStW1dRUVGKj4/X0KFDtXz58ip9FgDAraoAcA0rLi7W\n",
"mTNndObMGe3fv19r1qzR1KlTNW7cOL388su1PTzA56ZPn67k5GRJUv369fXAAw+offv2cjqdOnv2\n",
"bJX6Kv2Ljer+ksOu3Z49e9SvXz8dOHBAkhQYGKjbbrtNt956q5o0aaLTp08rIyNDn332mbKzs/Xj\n",
"jz/q9ttv17Zt29SwYUOvx1BcXKz8/Hzl5+crKytLO3fu1KJFizRkyBB9+OGHcjr5cRBA5fiXAgCu\n",
"IXfeeafuvPNO62uXy6WTJ09qx44dSk5OVk5OjkzT1LRp01SnTh298MILtThaXC4PP/yw5s2bJ0la\n",
"s2aNevbsWcsjqjnvvPOOJMnpdOrbb79Vhw4dqt2XaZq+GlYZR44c0W233WZdFU1MTFRSUpJ+8Ytf\n",
"lKk7Y8YMPfPMM3rrrbd0+PBhTZgwQX//+98r7Hv27NkeXxcVFen06dPatWuXli5dqpMnT0qSFi5c\n",
"qISEBD377LM+PDMA1yqCIwBcQ7p06aJHHnmk3LKzZ8/qscce0/z58yVJU6dO1ciRIxUZGXk5h4ha\n",
"ZBjGNX178NGjR62rd926dbuk0FiT3G63HnjgASs0Dhw4UIsXL1ZAQEC59UNCQvT6669ryZIlOnjw\n",
"oObMmaNp06YpJCSkTF3DMCr8N0CSTp06pQEDBmjTpk2SpLfeeovgCMArPOMIAH6iTp06evfddxUR\n",
"ESFJKiws1LJly2p5VLicavIK2pXg8OHD1nZsbGztDaQSH374ob7++mtJUt26dZWUlFRhaCwREBCg\n",
"Xr16qU6dOjIMQ+np6dU6doMGDTRr1izr68zMTOXl5VWrLwD+heAIAH4kLCxM3bp1s77+8ccfa3E0\n",
"qA3Xcngs/QxjZUGsNpW+zXTkyJFq1qyZV+3mzp2rM2fOKDc3V/Hx8dU+frt27Ty+PnfuXLX7AuA/\n",
"CI4A4GdKL6px6tQpa3vOnDlerwQpea44WZuys7M1ZcoU3XbbbYqKilJQUJAiIiKUkJCgsWPHas+e\n",
"PV718+OPP+qZZ55R165d1bhxYwUHB6t58+bq37+//v73v6ugoMC2fVVeMVL6dSUXr9aZkZFhlV1/\n",
"/fXW/rVr12ro0KGKjY1VcHCwGjdurP79+1u3Hl/s4Ycftvopeb5Rknr37l1m1c2KVgw9c+aMZsyY\n",
"od69eysyMtJanbN169a6//77ratmvvD9999r9OjR6tixoxo0aKCQkBBFR0frrrvu0pw5c1RcXFxh\n",
"25KVhXv37m3tmzt3bpnzLF1eW3bt2qXvv/9e0oXbSocPH37Zx5CRkWFtR0ZGqnHjxpd9DACuPjzj\n",
"CAB+pnRYrGhlRm+egyupU5vPzM2dO1ejR48uc6tdbm6utm/fru3bt2vmzJmaNm2axowZU24fxcXF\n",
"Gj9+vGbMmFEmnGRmZiozM1OrVq3SSy+9pLlz56pv3762Y6rK51HZM4eGYcjtduupp57Sm2++6VF2\n",
"8uRJrVq1SqtWrdLnn3+uTz75pFrjqGgMW7Zs0d133209M1giPz9fe/fu1d69e/XRRx/pxRdf1HPP\n",
"PefVscpTUFCgP/3pT/rggw/KlB0+fFiHDx/W0qVLNXXqVH388cdKSEgo9xy8cSU837lhwwZru2XL\n",
"lrXyHOa7775rbT/00EOX/fgArk4ERwDwI0VFRdaiGJIUFxdX7b5q+5bH2bNn649//KP1dWxsrAYP\n",
"Hqzrr79eeXl52rlzpz799FPl5+dr7NixcjqdGjVqlEcfpmnqvvvu06effmrt69atmwYMGKBGjRpp\n",
"z549+vjjj3X06FEdPXpUAwYM0MKFC3XXXXf55Bwq+wxN09Rzzz2nN998UxERERo2bJjat2+v3Nxc\n",
"ffbZZ9aVq0WLFmn27Nl69NFHrbaPPPKIfv3rX8s0Tf3jH//Qv//9b0nS008/rV/+8pcex7nllls8\n",
"vv7555+VmJio3NxcSVJMTIyGDh2qmJgYnTlzRv/+97+VnJwst9utF154QTfffLP69+9f5fMvLCxU\n",
"3759rTBlGIb69u2rxMRE1a1bV6mpqfr444916tQp7dmzR7fddptWrlypX/3qVx79PP300xo+fLh2\n",
"796tV199VZLUo0ePMlfOvb0ltCZ999131nZ5IbimffDBB5oxY4YkqXXr1pcU+gH4GRMAcFXr2bOn\n",
"aRiGaRiGOWnSJNu677//vlU3JCTEzM7Otsr+8Y9/WGUjRoyo9LgtW7Y0DcMwHQ5HmbIJEybYjqmk\n",
"rLy23jhw4IBZt25dj/EWFhaWqZeammqGhYWZhmGY4eHhZkFBgUf566+/bvURHBxsfvDBB2X6yMvL\n",
"M4cOHWrVi4iIMPfv339J51T685k7d65H2b59+zzG5HA4zPj4ePPo0aNl+nn00Uetul26dKnweA89\n",
"9JBV7+uvv650fEOGDLHq33fffabL5SpTZ968edb53n///ZX2WZ4xY8Z4fK4rV64sUycrK8vs1auX\n",
"VS82NtbMzc0tt7+1a9dW6Xu4MiXf4+XNk501a9ZUOI7+/ftbZc8999wlj/Hi4138/VdQUGDu27fP\n",
"nD9/vtmnTx+rXlxcnJmRkeGT4wPwDzzjCAB+IiUlRePGjbO+/vOf/6xGjRrV4oiq76233rIWQrnl\n",
"llv0/vvvKygoqEy9uLg43XXXXWratKnq1Knj8bxjQUGB/vrXv1pfz5o1S7///e/L9FGnTh0tWLBA\n",
"vXr1kiSdPn1ar7zyio/PqHznz59XeHi4li5dqqioqDLlEydOtLa3b9+u/Px8nxx3xYoVki5cAXzt\n",
"tdfKXWhm2LBh2r17t3bt2lWtz+Pw4cN6++23JV14PvTTTz8t9zbgyMhILVu2TG3btpUk7d+/X0lJ\n",
"SeX2aV4FC//k5ORY2w0aNPB5/6ZpejzXGRYWplatWumBBx7Q6tWrFRQUpGeeeUabN29Wy5YtfX58\n",
"ANcugiMAXENK/+Ccl5enAwcOaMmSJRoxYoRuvfVW64fWm266ySM0XW0+/PBDa/tvf/ub7bNr8+fP\n",
"19GjR3XkyBF17NjR2r948WLrReg33XSTHn744Qr7cDgcHithzp07Vy6X6xLOwHujR49WTExMuWXX\n",
"XXedFSjdbrf27dvnk2OWPOtpmqb1rsGLOZ1OtWnTRm3atNF1111X5WOU/gzvvvtuJSYmVlg3LCxM\n",
"06ZNs75+7733qny8K8Xp06et7fDw8Mt+/PPnz2vx4sWaPHmyjh8/ftmPD+DqRXAEgGvIpEmTrCsN\n",
"4eHhio2N1aBBgzR37lwVFRVJkm6//XYlJycrNDS0lkdbPQcPHtSRI0ckSY0bN9Ztt91WrX6++eYb\n",
"a3vYsGGV1m/fvr21kEl+fr62bNlSreNW1dChQ23LS57bM03TeibxUpVcXZUuhLrFixfL7Xb7pO8S\n",
"pT//+++/v9L6AwYMUP369SVJP/30k7Kysnw6ntpQU1dIZ8+erdmzZyspKUnTp0/XuHHj9Jvf/Mb6\n",
"O79nzx5NnTpV7du391isBwDssDgOAFzjDMNQQECAunXrpieeeEKDBw+u7SFdktLvnuzUqVO1+0lL\n",
"S7O2u3bt6lWbrl27aufOnTJNU2lpabr55purfXxvBAUFqX379rZ1wsLCrO2SXw5cqldeeUXffvut\n",
"cnNzlZGRoXvuuUdRUVH63e9+p4EDB6pXr14ex62Oks/fMAyvPn/DMJSQkKCvv/5apmkqNTVVTZo0\n",
"uaQx1IaS8CvJZ0G/NMMw9Mgjj5RbVlBQoPfee08vvPCCcnNzlZ2drTvuuEOpqalq2rSpz8cC4NpC\n",
"cASAa8idd96pO++8U9KF2yvr16+vyMhIde7cWXXq1Knl0flG6deJXMr750puUzUMw+sAEhkZWe44\n",
"akqDBg0qfYVETbzovl27dvr222/10EMPaevWrZIuvJpk1qxZmjVrloKCgvQf//Efevzxx9WnT59q\n",
"HaPk85dUrc+/9LOCV5OIiAhru/RncDmEhobqiSee0G233aZbbrlF586d08mTJ/W3v/1Nb7zxxmUd\n",
"C4CrD7eqAsA1pEuXLnrkkUf0yCOP6OGHH9agQYN066231khoLCws9Hmf3ih9Vc3prP7vP8+fP1/l\n",
"fgIDA8ttX1Xefna1eTtxx44dtXnzZn366ae6/fbbPT6j8+fPa8mSJerXr5/uvvvuai3KU5uff007\n",
"d+6cte1weP6o1bp1a2t7x44dl21MpSUkJOjJJ5+0vl64cGGtjAPA1YXgCAAoo7Ln2UzTrLUrPqVv\n",
"9Su90EhVlawoW5VzKX2V8VJWxLwcVyt9wTAMDRo0SF988YUyMzM1e/Zs9e7d2+Mq6Oeff64XXnih\n",
"yn2XXtH3cn/+3iodaKuyGFJBQYG1XTrsSvJ4B+UPP/xwCaO7NAMHDrS2jx07dtVewQVw+RAcAQCS\n",
"PG95rOwK0s8//1xrVxxbtGhhbZd+TrGqSq9UunPnTq/apKamWtsXv8qgdJiq7PPz9ni+Unps1X0O\n",
"smHDhnrkkUf01VdfKT09Xffcc49VNnPmTI+w5I2Sz980zSp//oZhXJZXSZR+jrPk9S/eOHr0qLV9\n",
"8dX+W265xdo+fPjwZVtk6WIX3+ZdW3+fAVw9CI4AAElSvXr1rO2SVUsrkpycXNPDqVD79u2tWzj3\n",
"7t1b7VdQ/PrXv7a2ly1bVmn9EydOaNOmTZIu3H7YvXt3j3JvP78TJ04oJSWlqsO9JKUD0KVcpS3x\n",
"i1/8QgsWLLBeBXL+/HmPRYu8UdXPf+fOnTp48KCkCyH2l7/8ZZWOVx3Nmze3tg8fPux1u59//tna\n",
"vvhdqa1bt/YIj3PmzPG634KCAuXk5CgnJ+eSV7nNzMy0tkNDQz2eHwWA8hAcAQCS/u+1DtKFH9Ir\n",
"ujXv3LlzHu80vNycTqd+85vfWF+/9tprtvX/+c9/avz48Xr22Wd16NAha/+gQYOs2wiXLFlS6dXL\n",
"6dOnW8/V9e3bt8w7+Eq/FsPuKtKMGTN8tvqpt0qvmJmenm5bNzMzU19++aW+/PJL7dmzp8J6TqfT\n",
"I2yEhIRUaUz33nuvtf3+++9X+nqNv/3tb9Z26audNan0ez+r8tqK9evXW9s33HBDmfLRo0db2++9\n",
"955++uknr/q9//771bBhQzVs2FDbt2/3ejzlKf0u1H79+pV5FhMALsa/EgAASRcWzCgJUrm5uZo/\n",
"f3659UaPHu31D7o1ZdSoUdb2O++8U+EVq3Pnzum5557TK6+8oldeecXjebPrrrtOI0aMkHTh9s17\n",
"7723wmcPv/jiC+sF9IZh6JlnnilTp/SrOZKSksrtZ/Xq1Xr55ZcrOTvf69Kli7W9ePFi27rbt2/X\n",
"gAEDNGDAAI0dO7bCep999pm1uEtkZGSVrwDedNNN6t+/v6QLzy4OGzaswtsl3333XX300UeSLjwz\n",
"+NRTT1XpWNU1YMAAa3vdunVeXSnevn27vvvuO0kXxtq7d+8ydYYOHarExERJF24Rfeihhyq9vTkv\n",
"L89692XdunUrfU1LRYqLizV58mS99957ki58P48bN65afQHwLwRHAIAkKTg4WHfffbf19ahRo/Th\n",
"hx+quLhYkrRr1y7dddddev/999W5c+dafe9bnz59NGTIEEkXFvIZPHiwpkyZohMnTkiS9Z7Fe+65\n",
"RwcOHJB0YTGQi8c8ffp0xcXFSbrw/NzNN9+sf/3rX9Y5nzx5Un/96181aNAga98f//hH64f+0kq/\n",
"xH7NmjUaMWKEsrOzJV0I4q+++qoGDhwoh8NRbvua1K9fP+uWyZSUFD3xxBPWOwRPnz6tzz77TPv3\n",
"75ck9erVy/qcvvjiC/3nf/6nx62XGRkZevLJJzVs2DBr3zPPPFPpa0PK849//MO63XXNmjXq0aOH\n",
"1q5dK9M0JV245Xfs2LH605/+ZLV58cUX1aZNmyofqzp69+6tG2+8UdKF76k77rjD9rbanTt3atCg\n",
"QdbXw4cPL3OrqnQhrM2bN896DcmGDRuUmJhY4VXvM2fO6OGHH7Z+sfHoo4+WWXSnhGmaev/99zV7\n",
"9mzrz7vvvqvp06frscceU2xsrCZMmGDVHzdunHr06FHJJwEAkkwAwFWtZ8+epmEYpmEY5qRJky6p\n",
"r71795pRUVFWf4ZhmGFhYWZERIT19Q033GAePnzYbNmypbXvYhMmTLAdU+n+q+v06dNmjx49PPoy\n",
"DMNs1KiRGRwc7LGvVatW5pEjR8rt5/Dhw2aHDh086gcGBpqNGzcu0/ewYcPMoqKiCsd07733etQP\n",
"CAgwIyMjzYCAANMwDDMoKMj88MMPzYkTJ1p15s6d69HHvn37rLLY2NhKP4fS8//1119XWG/+/Pll\n",
"xtakSRPT4XCUabt8+XIzJCTEo35oaKhZt27dMp/JPffcY7rd7krHWZHU1FSzRYsWHn2GhISYDRs2\n",
"9NjncDjMcePG2fa1Zs0aq/6IESOqPabS0tPTy/yd+MUvfmE+8cQT5ssvv2zOnDnTnDRpkvmb3/zG\n",
"dDqdVp2bbrrJzM3Nte37xx9/NGNiYqw2TqfT7Nu3rzlp0iTz7bffNqdPn24+/PDDZoMGDaw6cXFx\n",
"Zl5eXoXn7e2f0NBQc+rUqT75jAD4B4LjZXbs2DFz5cqV5ueff25+9913tj+AXOzAgQPml19+aS5Z\n",
"ssT84YcfzOLi4hocKYCrRa9evUyHw2E6HI5LDo6maZo///yz2bdv3zI/aAYGBpq///3vzdOnT5um\n",
"aZqxsbHWcS9WEowqGlNJWXltq6KgoMB84YUXzPDwcCsAXRxAHnnkETM7O9u2nzNnzph/+ctfzDp1\n",
"6pTpx+FwmC1atDBnz55d6XiKiorM559/3qxTp06ZPtq3b2+uX7/eNE3Pz6ei4OhwOMzrr7++0mP2\n",
"6tXLqm8XHE3TNN9+++0yY6uobUpKinnLLbeU+7kahmFGRESYkyZNuqTQWCIrK8v8wx/+YAYFBZX7\n",
"+bdt29b8/PPPK+1n7dq1VhtfBUfTvPDLhaFDh1b4WZT+43Q6zUcffdTMz8/3qu/MzExz+PDhXvXd\n",
"u3fvcr+XS593eX8CAwPN8PBws3Xr1uZvf/tb89VXXzWzsrJ89vkA8A+Gaf7v/SDwysSJE7Vr164K\n",
"y51Op8cD5yVcLpfmzZun5cuXe+yPiIjQyJEjlZCQUGGf+fn5SkpK0saNGz32R0VFacyYMWrVqlUV\n",
"zwIAKpeWlqZvv/1WOTk5at68uXr16qXo6OjaHla5zp8/r3Xr1mnPnj06deqUQkND1apVK916661V\n",
"et/fuXPntHbtWu3du1e5ublq3Lix4uPjPZ5f9EZOTo5Wrlypffv2qV69eoqPj79ibgc8deqUVq1a\n",
"Zd2a2rRpU3Xt2tW6ZfdiP//8szZt2qSjR4/q/Pnzql+/vtq1a6du3bpZq9v6ypkzZ7R69WodOHBA\n",
"+fn5atKkibp27ar4+HifHqe60tPTNX/+fH3zzTfas2ePTpw4IZfLpfr166tNmzbq2bOnHnzwQbVt\n",
"27bKfe/cuVOffPKJVqxYoUOHDik7O1thYWGKiorSLbfcoqFDh1rPhAJAbSA4VlFJcGzbtm25zxc4\n",
"nU6NHz/eY5/b7dZrr72mlJQUxcbGauDAgapfv77S0tK0bNkyuVwuPf300x6LF5Q4f/68Jk+erPT0\n",
"dLVv3179+/dXSEiItmzZohUrVig4OFgTJkwgPAIAAACoMc7aHsDVavTo0WVenluRFStWWKFx8uTJ\n",
"CgoKkiTFx8crLi5OU6ZM0cyZMzVjxgyP94BJ0kcffaT09HQlJCRo/Pjx1uIDCQkJio2NVVJSkt54\n",
"4w1Nnz5dTqdvprOoqEiLFy/2WKoe1y7m278w3/6F+fYvzLd/Yb79y5Uw36yqWsNcLpcWLlwo6cLq\n",
"aiWhsUTJ7Ut5eXlaunSpR1lOTo6Sk5NlGIZGjBhRZsW6xMREtWnTRpmZmVqzZo3PxlxUVKRFixZd\n",
"9veMoXYw3/6F+fYvzLd/Yb79C/PtX66E+SY41rCtW7cqLy9PkZGR6tChQ7l1SpZlL/3CYOnC8txu\n",
"t1vt2rWzliuvqO26det8OGoAAAAA+D8Exxq2e/duSVLHjh0rrFPyvGR2drb1zi9J1iI8dm1LFgz4\n",
"6aef5Ha7fTFkAAAAAPBAcKwmb9cUOnjwoCSpZcuWFdZxOp1q1qyZR31v2zZq1EihoaFyuVw6cuSI\n",
"V2MCAAAAgKpgcZxqevzxxxUcHKzw8HDFxsbq5ptvVo8ePRQQEOBRLycnR5IqXUgnMjJSBw4cUG5u\n",
"rrXv9OnT1W4LAAAAAL5CcKyiVq1ayel0qqioSHl5eTp27JhSUlKUkpKi//mf/9H/+3//TxEREVb9\n",
"c+fOSZJCQkJs+y0pLygosPaVbHvbtuRYAAAAAOBLBMcqevDBBz2+drlc2rx5s+bNm6f9+/frtdde\n",
"04svvlimXWW3tpaUl145tWTb27a+YhiGWrVqVWYVV1ybDMNQw4YNmW8/wXz7F+bbvzDf/oX59i8l\n",
"P5/XJoLjJXI6nfrVr36l6OhojRs3Tj/++KN2796ttm3bSpJCQ0MlVX41sKS8pH7Jdl5eXrXa2ikq\n",
"KqpwKV/DMBQaGqqXXnrJq75w9QsNDdWsWbNqexi4TJhv/8J8+xfm278w3/6l5OfzksfgKhIYGFhj\n",
"73kkOPpI8+bN1aVLF6WkpGjXrl1WcCy5bbX0aqnlKSmvX7++tS8iIkJ5eXnKzs5WbGxsldraWbx4\n",
"sRYtWlRuWatWrQiNAAAAwBXopZde0t69eyssHzx4sIYOHVojxyY4+lDz5s0lSWfOnLH2xcTE6Icf\n",
"flBGRkaF7YqKiqwVUWNiYqz90dHROnTokDIyMnTjjTeW2/b48eMqKChQUFCQtTJrZQYNGqSBAweW\n",
"W1b6dofs7GwVFxd71SeuXoZhqEmTJsrKyvL5bc+48jDf/oX59i/Mt39hvv2Hw+FQZGSkJGnChAm2\n",
"811TVxslgqNPldwyGhYWZu2Li4vTkiVLtGPHDpmmWe596KmpqXK5XGratKkaNGjg0XbDhg3atm2b\n",
"Bg8eXO4xt27dKklq06aN1/e4e3sJu7i4mODoB0q+b4qLi/mPxw8w3/6F+fYvzLd/Yb79R+n59fbR\n",
"tJrAexyr4MiRIzpw4IBcLle55Tt37pQkjwdX4+PjFR4erhMnTmjz5s3ltluxYoUkqUePHh77u3fv\n",
"LqfTqfT0dO3fv79MO9M0tWrVqnLbAgAAAICvEByr4J133tHTTz+tTZs2lSlbvXq1Dh8+rIiICHXq\n",
"1Mna73A4NGTIEEnS/Pnzyyx0k5KSos2bN6tu3bplbh+tV6+eBgwYIEmaM2dOmat/ycnJysjIUPPm\n",
"zdWzZ0+fnCMAAAAAXIxbVatgwIABSk9P16xZs/Tzzz8rLi5OAQEB2rJli1auXClJeuihhxQQEODR\n",
"rl+/ftq+fbtSUlL0/PPP64477lB4eLjS0tK0bNkyBQQEaNSoUapTp06ZYw4ZMkS7d+9WWlqaXnzx\n",
"Rd1+++0KDg62jhkSEqLRo0eXOSYAAAAA+IphclN0laxatUrz5s1TYWGhx/7Q0FANHz5cffr0Kbed\n",
"y+XSvHnztHz5co/9ERERGjlypBISEio8Zn5+vpKSkrRx40aP/VFRURozZkyNvdPl2LFjPOPoBwzD\n",
"ULNmzXT06FGekfADzLd/Yb79C/PtX5hv/+FwOBQVFVXbwyA4Vkd+fr62b9+urKwsSVKTJk0UHx/v\n",
"sShORY4fP65t27YpPz9fUVFR6tKli5xO7y78Hjp0SGlpaSosLFR0dLQ6depUoy99JTj6B/7j8S/M\n",
"t39hvv0L8+1fmG//caUER25VrYawsDB169atWm0jIyPVt2/farVt0aKFWrRoUa22AAAAAFBdLI4D\n",
"AAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYIjgAAAAAAWwRHAAAAAIAtgiMAAAAAwBbBEQAA\n",
"AABgi+AIAAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYIjgAAAAAAWwRHAAAAAIAtgiMAAAAA\n",
"wBbBEQAAAABgi+AIAAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYIjgAAAAAAWwRHAAAAAIAt\n",
"giMAAAAAwBbBEQAAAABgi+AIAAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYIjgAAAAAAWwRH\n",
"AAAAAIAtgiMAAAAAwBbBEQAAAABgi+AIAAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYIjgAA\n",
"AAAAWwRHAAAAAIAtgiMAAAAAwBbBEQAAAABgi+AIAAAAALBFcAQAAAAA2CI4AgAAAABsERwBAAAA\n",
"ALYIjgARLt19AAAgAElEQVQAAAAAWwRHAAAAAIAtgiMAAAAAwBbBEQAAAABgi+AIAAAAALBFcAQA\n",
"AAAA2CI4AgAAAABsERwBAAAAALYIjgAAAAAAWwRHAAAAAIAtgiMAAAAAwBbBEQAAAABgi+AIAAAA\n",
"ALBFcAQAAAAA2CI4AgAAAABsERwBAAAAALYIjgAAAAAAWwRHAAAAAIAtgiMAAAAAwBbBEQAAAABg\n",
"y1nbA/A3WVlZ2r59u86ePavmzZurc+fOcjq9m4aDBw8qLS1NhYWFiomJUXx8vBwOsj8AAACAmkVw\n",
"9IGcnBw988wzOn36tEaOHKlevXqVqeNyuTRv3jwtX77cY39ERIRGjhyphISECvvPz89XUlKSNm7c\n",
"6LE/KipKY8aMUatWrXxyHgAAAABQHoLjJTJNU2+99ZZOnz4tSTIMo0wdt9utGTNmKCUlRbGxsRo4\n",
"cKDq16+vtLQ0LVu2TC+//LKefvppdenSpUzb8+fPa+rUqUpPT1f79u3Vv39/hYSEaMuWLVqxYoUm\n",
"TZqkCRMmEB4BAAAA1BiC4yX6/PPPtWPHDts6K1assELj5MmTFRQUJEmKj49XXFycpkyZopkzZ2rG\n",
"jBmqV6+eR9uPPvpI6enpSkhI0Pjx461gmpCQoNjYWCUlJemNN97Q9OnTvb7lFQAAAACqggfkLsGP\n",
"P/6oTz75RI0bN1bXrl3LreNyubRw4UJJ0vDhw63QWCI+Pl49evRQXl6eli5d6lGWk5Oj5ORkGYah\n",
"ESNGlLmamZiYqDZt2igzM1Nr1qzx4ZkBAAAAwP8hOFZTXl6e3njjDUnSE088oTp16pRbb+vWrcrL\n",
"y1NkZKQ6dOhQbp3ExERJ0vr16z32b9iwQW63W+3atVNUVJRt23Xr1lXrPAAAAACgMgTHanrnnXd0\n",
"4sQJDRkyRL/85S8rrLd7925JUseOHSus07ZtWwUGBio7O1vZ2dnW/l27dlXaNj4+XpL0008/ye12\n",
"V+kcAAAAAMAbBMdqSE5O1vfff68OHTro7rvvtq178OBBSVLLli0rrON0OtWsWTOP+t62bdSokUJD\n",
"Q+VyuXTkyBGvzwEAAAAAvEVwrKJ9+/bpn//8p8LDwzV69OhK6+fk5EiSGjdubFsvMjJSkpSbm2vt\n",
"K1mptTptAQAAAMBXCI5VcO7cOc2YMUPFxcV6/PHHFRER4VUbSQoJCbGtV1JeUFBg7SvZ9rZtybEA\n",
"AAAAwJcIjlXw7rvvKjMzU3fccYc6depUpbamaXpVXnrl1JJtb9sCAAAAQE3gxX9eWrNmjdavX68b\n",
"brhB9913X4X1Lg5xoaGhkiq/GlhSXlK/ZDsvL69abe0UFRWpqKio3DLDMKx+DMMo8woQXHtK5pi5\n",
"9g/Mt39hvv0L8+1fmG//UXqOCwoKbC8aBQYGKjAwsEbGQXD00tdffy1J2rNnj+6///4K673zzjt6\n",
"55131LNnT/35z3+2bmctvVpqeUrK69evb+2LiIhQXl6esrOzFRsbW6W2dhYvXqxFixaVW9awYUPN\n",
"mjVLktSkSROv+sO1oaJXvuDaxHz7F+bbvzDf/oX59i9jx47VyZMnKywfPHiwhg4dWiPHJjh6qVWr\n",
"VnI6K/64Dh48qJycHLVo0UINGjRQdHS0JCk6Olo//PCDMjIyKmxbVFRkrYgaExNj7Y+OjtahQ4eU\n",
"kZGhG2+8sdy2x48fV0FBgYKCgqyVWSszaNAgDRw4sNyy0r/RyMrKUnFxsVd94uplGIaioqKUmZnJ\n",
"bc9+gPn2L8y3f2G+/Qvz7T8cDoeaNm0qSXr99dcrveJYUwiOXnrwwQdty2fOnKlvvvlGd955p3r2\n",
"7Gntb9++vf71r39px44dMk2z3NsJUlNT5XK51LRpUzVo0MDaHxcXpw0bNmjbtm0aPHhwucfdunWr\n",
"JKlNmzZe36rg7SVs0zT5h8iPMN/+hfn2L8y3f2G+/Qvzfe0rPb/ePppWE1gcp4bFx8crPDxcJ06c\n",
"0ObNm8uts2LFCklSjx49PPZ3795dTqdT6enp2r9/f5l2pmlq1apV5bYFAAAAAF8hONYwh8OhIUOG\n",
"SJLmz59fZqGblJQUbd68WXXr1i1z+2i9evU0YMAASdKcOXPK3DaanJysjIwMNW/e3OMqJwAAAAD4\n",
"EreqXgb9+vXT9u3blZKSoueff1533HGHwsPDlZaWpmXLlikgIECjRo1SnTp1yrQdMmSIdu/erbS0\n",
"NL344ou6/fbbFRwcrC1btmjlypUKCQnR6NGjFRAQUAtnBgAAgKuJw+GQw3Hh2pHb7Zbb7a7lEeFq\n",
"QXD0EbvnCw3D0JNPPql58+Zp+fLlmjlzplUWERGhkSNHKiEhody2QUFBevbZZ5WUlKSNGzdq9+7d\n",
"VllUVJTGjBmjVq1a+e5EAAAAcM1xOBxyu4N09qyh1asvrHWRmFik0FBTDsd5AiQqZZg8TXtZHT9+\n",
"XNu2bVN+fr6ioqLUpUsX29VaSzt06JDS0tJUWFio6OhoderUqUbf3XPs2DFWVfUDhmGoWbNmOnr0\n",
"KA/X+wHm278w3/6F+fYvVZlvh8MhwwjW00+HacGCILlcF35+dDpNDRt2XtOm5cs0CwmPVyiHw3FF\n",
"vHaFK46XWWRkpPr27Vutti1atFCLFi18PCIAAABcy9zuII0fH6YPPgj22O9yGda+l14yJZ0rpzVw\n",
"AYvjAAAAANcoh8OhggJDCxYEVVhnwYIgnTtnWM8+AuXhuwMAAAC4RjkcDq1eHWjdnloel8vQV18F\n",
"Ehxhi+8OAAAAAIAtgiMAAABwjXK73UpMLJLTWfECOk6nqT59ilgcB7YIjgAAAMA1yu12KzT0wuqp\n",
"FRk27LyCg02CI2yxqioAAABwDXM4zmvatAvPOFb8Oo7zIjfCDsERAAAAuIa53W45HIV66SVTEyfm\n",
"66uvAiVJffoUKSTE/N/QSGqEPYIjAAAAcI27EAzPKSzMobvuKrL2XfhTu2PD1YHgCAAAAPiJkrAI\n",
"VBWL4wAAAAAAbBEcAQAAAAC2CI4AAAAAAFsERwAAAACALYIjAAAAAMAWwREAAAAAYIvgCAAAAACw\n",
"RXAEAAAAANgiOAIAAAAAbBEcAQAAAAC2CI4AAAAAAFsERwAAAACALYIjAAAAAMAWwREAAAAAYIvg\n",
"CAAAAACwRXAEAAAAANgiOAIAAAAAbBEcAQAAAAC2CI4AAAAAAFsERwAAAACALYIjAAAAAMAWwREA\n",
"AAAAYIvgCAAAAACwRXAEAAAAANgiOAIAAAAAbBEcAQAAAAC2CI4AAAAAAFsERwAAAACALYIjAAAA\n",
"AMAWwREAAAAAYIvgCAAAAACwRXAEAAAAANgiOAIAAAAAbBEcAQAAAAC2CI4AAAAAAFsERwAAAACA\n",
"LYIjAAAAAMAWwREAAAAAYIvgCAAAAACwRXAEAAAAANgiOAIAAAAAbBEcAQAAAAC2CI4AAAAAAFsE\n",
"RwAAAACALYIjAAAAAMAWwREAAAAAYIvgCAAAAACwRXAEAAAAANgiOAIAAAAAbBEcAQAAAAC2CI4A\n",
"AAAAAFsERwAAAACALYIjAAAAAMAWwREAAAAAYIvgCAAAAACw5aztAVytjh8/rtTUVJ06dUoOh0ON\n",
"GzdW+/btFRERUWnbrKwsbd++XWfPnlXz5s3VuXNnOZ3eTcXBgweVlpamwsJCxcTEKD4+Xg4H+R8A\n",
"AABAzSE4VpHb7dZ///d/a+XKlWXKAgICNHToUP3ud78rt63L5dK8efO0fPlyj/0REREaOXKkEhIS\n",
"Kjxufn6+kpKStHHjRo/9UVFRGjNmjFq1alWNswEAAACAyhEcq2jRokVauXKlGjRooIEDByomJkaF\n",
"hYXatm2bVq1apQULFigmJkZdunTxaOd2uzVjxgylpKQoNjZWAwcOVP369ZWWlqZly5bp5Zdf1tNP\n",
"P12mnSSdP39eU6dOVXp6utq3b6/+/fsrJCREW7Zs0YoVKzRp0iRNmDCB8AgAAACgRhAcq2j16tWS\n",
"pP/6r//SDTfcYO2/6aabJEkrV67U8uXLywTAFStWWKFx8uTJCgoKkiTFx8crLi5OU6ZM0cyZMzVj\n",
"xgzVq1fPo+1HH32k9PR0JSQkaPz48TIMQ5KUkJCg2NhYJSUl6Y033tD06dO9vuUVAAAAALzFw3FV\n",
"9Nhjj+kvf/mLWrduXaasc+fOki48w1iay+XSwoULJUnDhw+3QmOJ+Ph49ejRQ3l5eVq6dKlHWU5O\n",
"jpKTk2UYhkaMGGGFxhKJiYlq06aNMjMztWbNmks+PwAAAAC4GMGxijp37qwuXbqUCXCSdPbsWUlS\n",
"o0aNPPZv3bpVeXl5ioyMVIcOHcrtNzExUZK0fv16j/0bNmyQ2+1Wu3btFBUVZdt23bp1VTsZAAAA\n",
"APACwdFHXC6XkpOTJUk9evTwKNu9e7ckqWPHjhW2b9u2rQIDA5Wdna3s7Gxr/65duyptGx8fL0n6\n",
"6aef5Ha7q3cCAAAAAFABgqMPZGdna9q0adq7d6969uyp3r17e5QfPHhQktSyZcsK+3A6nWrWrJlH\n",
"fW/bNmrUSKGhoXK5XDpy5Ei1zwMAAAAAysNKKtX0z3/+U3v37lVubq4OHjyoxo0b67HHHrNuGy0t\n",
"JydHktS4cWPbPiMjI3XgwAHl5uZa+06fPl3ttgAAAADgC1xxrKZ9+/YpNTXVuiJ48uRJbdq0ST//\n",
"/HOZuufOnZMkhYSE2PZZUl5QUGDtK9n2tm3JsQAAAADAV7jiWE3PP/+8JCk/P18ZGRn68ssvtWnT\n",
"Jm3fvl3jxo1T165dy7QxTdO2z5Ly0gvvlGx72xYAAAAAfI0rjpcoLCxMcXFxeuqpp/Tb3/5Wbrdb\n",
"c+bMUXFxsVUnNDRUUuVXA0vKS+pfalsAAAAA8AWuOPrQfffdp6+//lpZWVnatWuX9eqNiIgISfJY\n",
"LbU8JeX169e39kVERCgvL0/Z2dmKjY2tUtuKFBUVqaioqNwywzCs8GkYRrmvHcG1pWSOmWv/wHz7\n",
"F+bbvzDf/oX59h+l57igoMD2TsPAwEAFBgbWyDgIjj4UFBSktm3b6vvvv1dmZqYVHGNiYvTDDz8o\n",
"IyOjwrZFRUXWiqgxMTHW/ujoaB06dEgZGRm68cYby217/PhxFRQUKCgoyFqZ1c7ixYu1aNGicssa\n",
"NmyoWbNmSZKaNGlSaV+4dlT0nlBcm5hv/8J8+xfm278w3/5l7NixOnnyZIXlgwcP1tChQ2vk2ARH\n",
"Hyv5DYDD8X93AcfFxWnJkiXasWOHTNMs9zdDqampcrlcatq0qRo0aODRdsOGDdq2bZsGDx5c7jG3\n",
"bt0qSWrTpo1Xv3UaNGiQBg4cWG5Z6fZZWVket9zi2mQYhqKiopSZmcmzsn6A+fYvzLd/Yb79C/Pt\n",
"PxwOh5o2bSpJev311yu94lhTCI5VUFRUpO3bt8vhcKhz585lyk3TtFZZLX3VMD4+XuHh4Tpx4oQ2\n",
"b95c7pXDFStWSJJ69Ojhsb979+6aO3eu0tPTtX///jLvczRNU6tWrSq3bUW8vYRtmib/EPkR5tu/\n",
"MN/+hfn2L8y3f2G+r32l57c21zNhcZwqcLvdevXVV/XSSy9Zt5WWtmbNGmVlZalZs2Zq3bq1td/h\n",
"cGjIkCGSpPnz55dZ6CYlJUWbN29W3bp1y1wJrFevngYMGCBJZRbdkaTk5GRlZGSoefPm6tmzp0/O\n",
"EwAAAABKC5g4ceLE2h7E1cLpdCozM1MHDhzQpk2bVFxcrPz8fB07dkxffvmlPvnkEzkcDo0dO1aR\n",
"kZEebVu1aqX9+/dr9+7d2rJli0JCQnTq1CmtXr1aH3zwgQzD0JNPPlnmiqIktW3bVqmpqdq9e7dS\n",
"U1MVEhKi48ePa9myZfrss88UEhKiZ555Ro0aNfLp+Z49e5bfYPkBwzBUr1495eXl1fZQcBkw3/6F\n",
"+fYvzLd/Yb79h2EYqlu3bm0PQ4ZJMqiSc+fO6c0339TmzZvLlEVGRuqxxx5Tx44dy23rcrk0b948\n",
"LV++3GN/RESERo4cqYSEhAqPm5+fr6SkJG3cuNFjf1RUlMaMGaNWrVpV42zsHTt2jGcc/YBhGGrW\n",
"rJmOHj3KLwr8APPtX5hv/8J8+xfm2384HI4rYhEkgmM1HTp0SLt379aZM2cUHBysmJgYxcXFeSyK\n",
"U5Hjx49r27Ztys/PV1RUlLp06SKn07vHTQ8dOqS0tDQVFhYqOjpanTp1qrFlmAmO/oH/ePwL8+1f\n",
"mG//wnz7F+bbf1wpwZHFcaqpRYsWatGiRbXaRkZGqm/fvpf9uAAAAABQHSyOAwAAAACwRXAEAAAA\n",
"ANgiOAIAAAAAbBEcAQAAAAC2CI4AAAAAAFsERwAAAACALYIjAAAAAMAWwREAAAAAYMtZ2wMAAADA\n",
"tcfhcMjhuHCNwu12y+121/KIAFwKgiMAAAB8xuFwyO0O0tmzhlavDpQkJSYWKTTUlMNxngAJXKUI\n",
"jgAAAPAJh8MhwwjW+PFhWrAgSC6XIUlyOk0NG3Ze06YZcjgKCY/AVYjgCAAAAJ9wu4M0fnyYPvgg\n",
"2GO/y2VY+156yZR0rhZGB+BSsDgOAAAALpnD4VBBgaEFC4IqrLNgQZDOnTOsZx8BXD34WwsAAIBL\n",
"5nA4tHp1oHV7anlcLkNffRVIcASuQvytBQAAAADYIjgCAADgkrndbiUmFsnpNCus43Sa6tOniMVx\n",
"gKsQwREAAACXzO12KzT0wuqpFRk27LyCg02CI3AVYlVVAAAA+ITDceGVG5IqeB1HvkzzvMiNwNWH\n",
"4AgAAACfcLvdcjgK9dJLpiZOzNdXXwVKkvr0KVJIiPm/oZHUCFyNCI4AAADwmQvB8JzCwhy6664i\n",
"a9+FP7U7NgDVR3AEAACAz5WERQDXBhbHAQAAAADYIjgCAAAAAGwRHAEAAAAAtgiOAAAAAABbBEcA\n",
"AAAAgC2CIwAAAADAFsERAAAAAGCL4AgAAAAAsEVwBAAAAADYIjgCAAAAAGwRHAEAAAAAtgiOAAAA\n",
"AABbBEcAAAAAgC2CIwAAAADAFsERAAAAAGCL4AgAAAAAsEVwBAAAAADYIjgCAAAAAGwRHAEAAAAA\n",
"tgiOAAAAAABbztoegCRlZ2crKytLDRo0ULNmzWp7OAAAAACAUmrkiuPChQv16aefel1/7969mjRp\n",
"kpKSkmpiOAAAAACAS1AjwXHRokVatGiR1/Xj4uIkSYcOHaqJ4QAAAAAALsEV8YxjcXGxJCk/P7+W\n",
"RwIAAAAAuNgVERy//fZbSVK9evVqeSQAAAAAgIv5ZHGc48eP6/jx42X2p6WlVdimuLhYp06dUmpq\n",
"qr755htJUqdOnXwxHAAAAACAD/kkOK5du7bMM41ut1uTJk3yuo/GjRvr3nvv9cVwAAAAAAA+5JPg\n",
"aJpmtduGh4fr5ptv1r333qvw8HBfDAcAAAAA4EM+CY4DBw5Ur169ZBiGTNPU6NGj5XA49Oabb1YY\n",
"Kh0Oh0JCQlS3bl1fDAEAAAAAUEN8EhzDwsIUFhZWZn9kZKQvugcAAAAA1CKfBMeL3XbbbQoICKiJ\n",
"rgEAAAAAl1mNBMdRo0bVRLcAAAAAgFpwRbzHEQAAAABw5aqRK47ShddxbNy4Ud9//72OHDmigoIC\n",
"FRcXV9rurbfeqqkhAQAAAACqoUaCY1FRkaZMmaJdu3bVRPcAAAAAgMuoRoLjkiVLrNAYFBSk66+/\n",
"XhEREQoKCpJhGBW2sysDAAAAANSOGgmOGzZskCS1a9dOf/nLXxQaGloThwEAAAAAXAY1sjhOZmam\n",
"JOnhhx8mNAIAAADAVa5GgmNwcLAkKTo6uia6BwAAAABcRjUSHFu2bClJOnnyZE10DwAAAAC4jGok\n",
"OPbv31+StHTp0proHgAAAABwGdXI4jjdu3fXjh07tHz5cgUEBOiBBx6Q01ljr4wEAAAAANSgGklz\n",
"a9euVZs2bbRv3z598cUXWrdunbp27aro6GjVqVPH9rUbPXv2rIkhAQAAAACqqUaC4zvvvOPxdW5u\n",
"rtasWeNVW4IjAAAAAFxZuH+0mgoLC7Vjxw4dOXJELpdL4eHhat26tWJjYyttm5WVpe3bt+vs2bNq\n",
"3ry5Onfu7PWtvAcPHlRaWpoKCwsVExOj+Ph4ORw18qgqAAAAAEiqoeD497//vSa6vWJ89913SkpK\n",
"Ul5eXpmyuLg4jR07VuHh4WXKXC6X5s2bp+XLl3vsj4iI0MiRI5WQkFDhMfPz85WUlKSNGzd67I+K\n",
"itKYMWPUqlWrap4NAAAAANgzTNM0a3sQV5OffvpJzz//vBwOhwYMGKB27dpJkvbs2aMvv/xS+fn5\n",
"6ty5s8aPH+/Rzu1267XXXlNKSopiY2M1cOBA1a9fX2lpaVq2bJlcLpeefvppdenSpcwxz58/r8mT\n",
"Jys9PV3t27dX//79FRISoi1btmjFihUKDg7WhAkTfB4ejx07puLiYp/2iSuPYRhq1qyZjh49Kv45\n",
"uPYx3/6F+fYvzLd/Yb79h8PhUFRUVG0Pg1tVq+rLL7+U2+3Wfffdp7vuusva36VLF3Xt2lXPPfec\n",
"fvjhB2VmZnpM8IoVK6zQOHnyZAUFBUmS4uPjFRcXpylTpmjmzJmaMWOG6tWr53HMjz76SOnp6UpI\n",
"SND48eOtxYUSEhIUGxurpKQkvfHGG5o+fTqr1wIAAADwuRpJGdnZ2dVu27hxYx+OxPfuuusu9evX\n",
"T9HR0WXKWrdureuuu06HDh1SRkaGFRxdLpcWLlwoSRo+fLgVGkvEx8erR48eWr9+vZYuXar777/f\n",
"KsvJyVFycrIMw9CIESPKrEibmJioNWvWKD09XWvWrFG/fv18fcoAAAAA/FyNBMdRo0ZVu+3HH3/s\n",
"w5H4XnmBsTSXyyVJCgwMtPZt3bpVeXl5ioyMVIcOHcptl5iYqPXr12v9+vUewXHDhg1yu92Ki4ur\n",
"8BJ1YmKi0tPTtW7dOoIjAAAAAJ9jOU4f2rt3rzIzM2UYhmJiYqz9u3fvliR17NixwrZt27ZVYGCg\n",
"srOzPa7Y7tq1q9K28fHxki48f+l2uy/pHAAAAADgYjVyxfGFF16osMztdisvL08ZGRn697//rays\n",
"LLVp00b33ntvmdswryY5OTl64403JEmdOnVSZGSkVXbw4EFJUsuWLSts73Q61axZMx04cEAHDx60\n",
"btn1pm2jRo0UGhqqgoICHTlyRC1atLjk8wEAAACAEjUSHNu3b19pne7du2vo0KFauHChFi9erHXr\n",
"1ulPf/pTTQynxmVlZWnKlCnKzMxUZGSkHnvsMY/ynJwcSZU/vxkZGakDBw4oNzfX2nf69OlqtwUA\n",
"AAAAX6jVJTgDAgJ033336fTp01q9erW6dOmim2++uTaHVGXp6emaNm2acnNz1bJlS40fP14NGzb0\n",
"qHPu3DlJUkhIiG1fJeUFBQXWvpJtb9uWHAsAAAAAfOWKeMax5LUWycnJtTySqlm9erUmTpyo3Nxc\n",
"devWTZMnTy4TGkur7B07JeWlb9kt2fa2LQAAAAD42hXx0r+S2zAzMjJqdyBV8Pnnn2vBggUyDEPD\n",
"hg3T7373uwrrhoaGSqr8amBJeUn9ku28vLxqta1IUVGRioqKyi0zDMPqwzCMq/q5U3inZI6Za//A\n",
"fPsX5tu/MN/+hfn2H6XnuKCgwPaCUWBgoMfbHXzpigiO6enpkqTi4uJaHol3Nm7cqAULFsjpdGrM\n",
"mDGV3l4bEREhqfL3W5aU169f36NtXl6esrOzFRsbW6W2FVm8eLEWLVpUblnDhg01a9YsSVKTJk0q\n",
"7QvXjope94JrE/PtX5hv/8J8+xfm27+MHTtWJ0+erLB88ODBGjp0aI0cu9aD49GjR5WUlCRJuv76\n",
"62t5NJU7d+6c3n//fUnSH/7wB6+eyYyJidEPP/xge0W1qKhIR44cseqXiI6O1qFDh5SRkaEbb7yx\n",
"3LbHjx9XQUGBgoKC1KxZs0rHM2jQIA0cOLDcstK/0cjKyrpqwjyqzzAMRUVFKTMzk1ue/QDz7V+Y\n",
"b//CfPsX5tt/OBwONW3aVJL0+uuvV3rFsabUSHB8++23bctN01RhYaEyMzO1f/9+a//V8PL6lStX\n",
"Kjc3VzfffLN69erlVZu4uDgtWbJEO3bskGma5d5SkJqaKpfLpaZNm6pBgwYebTds2KBt27Zp8ODB\n",
"5fa/detWSVKbNm28ul3B20vYpmnyD5EfYb79C/PtX5hv/8J8+xfm+9pXen69eSytptRIcPz666+r\n",
"3KZnz5669dZba2A0vvXVV19Jku0zjReLj49XeHi4Tpw4oc2bN5d75XDFihWSpB49enjs7969u+bO\n",
"nav09HTt37+/zPscTdPUqlWrym0LAAAAAL5QI8GxsncOShdexREWFqbo6Gh169ZNXbt2rYmh+FR+\n",
"fr6OHj2qgICAMgHOjsPh0JAhQ/T+++9r/vz56tChg8frNVJSUrR582bVrVu3zC2k9erV04ABA/Sv\n",
"f/1Lc+bM0XPPPaeAgACrPDk5WRkZGWrevLl69ux56ScJAAAAABepkeA4c+bMmui21p09e1bShat8\n",
"U6dOta3bsmVLPfjgg9bX/fr10/bt25WSkqLnn39ed9xxh8LDw5WWlqZly5YpICBAo0aNUp06dcr0\n",
"NWTIEO3evVtpaWl68cUXdfvttys4OFhbtmzRypUrFRISotGjR3sESgAAAADwlVpfHOdqUnJ/sdvt\n",
"1s6dO23rut1uj68Nw9CTTz6pefPmafny5R7hOiIiQiNHjlRCQkK5fQUFBenZZ59VUlKSNm7cqN27\n",
"d1tlUVFRGjNmjFq1alXd0wIAAAAAW4Z5mZ6mPXv2rE6cOKFz584pLCxMkZGRCg4OvhyHvuIcP35c\n",
"27ZtU35+vqKiotSlSxc5nd5l+EOHDiktLU2FhYWKjo5Wp06dauz9PceOHWNVVT9gGIaaNWumo0eP\n",
"8nC9H2C+/Qvz7V9Kz7dhGHI4HJIu/DL74l9o4+rH32//4XA4rojXrtToFcfi4mKtWrVK/5+9e4+O\n",
"qrz3P/7ZO5NkZsJNhBAQI2KriIoY9ShqwZPQehRragWR2vRY28Na1lNvRzTefkBraypW7YUexbZe\n",
"OOzXzfMAACAASURBVJV6AQrW5gcIarU/OaUBtIqC3ARFbkISyCSZmez9+2OckZCZnUkyt8y8X2ux\n",
"lu7rM/s7meQ7z/N8n1deeUU7d+5s96Y2TVNf+tKXdOmll+qCCy5IZjMyzuDBgzVx4sRunTt8+HAN\n",
"Hz48wS0CAADZIBAIyLYL5fMZWrUqVEG9vDwgj8eWafpJIAF0W9ISx8bGRj344IP68MMPo+63LEub\n",
"Nm3Spk2b9Ne//lW33nprzvZAAgAA9JRpmjp48LCqq4u0YEGBgsHQiCSXy9a0aX7NmWPINFtJHgF0\n",
"S1ISR9u29dBDD0WSxhEjRmjcuHE67rjjVFhYqObmZn300Ud68803tWfPHq1bt04PP/yw7rrrrmQ0\n",
"BwAAIOu1teWrutqr+fPbfxEfDBqRbTU1tqSWNLQOQG+XlMTxzTff1MaNGyVJ1157ra644ooOx5x3\n",
"3nmaPHmynn32Wb300ktav369Vq9erfPPPz8ZTQIAAMhapmmqqcnQggUFMY9ZsKBAs2b55PWa9DoC\n",
"6DIzGRd98803JUmXXHJJ1KQxcnPT1Le//e3I+oOvvfZaMpoDAACQ1UzT1KpV+ZHhqdEEg4ZWrsyP\n",
"FM0BgK5IyifH1q1bJUmXXXZZXMd/4xvfaHceAAAAACBzJCVxPHz4sCRpyJAhcR0fLi/b1NSUjOYA\n",
"AABkNcuyVF4ekMsVe1kGl8tWRUWAYaoAuiUpiWNRUZEk6bPPPovr+PBxXq83Gc0BAADIapZlyeMJ\n",
"VU+NZdo0vwoLbRJHAN2SlMSxtLRUkrRq1aq4jl+2bJkkaeTIkcloDgAAQNbLywvooYd8qqpqbdfz\n",
"6HLZqqpq1Zw5PuXlxU4sAcBJUqqqnn/++Xrvvff0pz/9SaWlpY6VUpcvX64///nPkhQpkgMAAICu\n",
"sSxLgwb1UU3NIc2a5dPKlfmSpIqKgNxuW7btp7cRQLclJXEsLy9XbW2tdu3apUceeUTnnnuuLrjg\n",
"Ag0fPlxut1s+n0/bt2/XX//6V7333nuSpDPOOEMXXHBBMpoDAACQE/Lz82UYrfJ6DVVWBiSFEsrQ\n",
"vzQ3DkCvlpTE0eVy6c4779T999+vffv2ac2aNVqzZk3M40ePHq3/+q//SkZTAAAAck44WQSARElK\n",
"4iiFKqX+7Gc/06JFi7Rq1Sr5fL4OxwwcOFCTJk3SpZdeqry8vGQ1BQAAAADQA0lLHKVQddWqqipd\n",
"e+212rFjh/bt26eWlhZ5PB4NHTpUxx13XDJvDwAAAABIgIQljpZladOmTRo0aJAGDRrUbp9pmhox\n",
"YoRGjBjRbvuuXbvU2Niok08+WaaZlAKvAAAAAIAeSkjiuH79ev32t7/Vvn37dPPNN3dIHGOpq6vT\n",
"//zP/6ikpEQ33HCDRo0alYjmAAAAAAASqMfdfGvXrtUDDzygffv2dflc2w6tMbR792795Cc/0dat\n",
"W3vaHAAAAABAgvUocbRtW0899ZQk6eyzz9bDDz+scePGxX3+pEmT9NOf/lRf+tKX5Pf79bvf/a4n\n",
"zQEAAAAAJEGPEsdt27Zpz5496tOnj2655RYdd9xxMgwj7vPz8vJ00kkn6c4771R+fr42b96sTz75\n",
"pCdNAgAAAAAkWI8TR0k666yzVFBQ0O3r9OvXT2eddZYk6cMPP+xJkwAAAAAACdajxPHQoUOSFHcx\n",
"HCdDhgyRJDU2Nvb4WgAAAACAxOlR4piXlydJamtr63FDwkNcWZYDAAAAADJLj7K0AQMGSFJC5iWG\n",
"r9G/f/8eXwsAAAAAkDg9ShxPOeUUSdK7777boyGmBw4c0Ntvv93umgAAAACAzNCjxLG4uFgnnnii\n",
"Wltbu72URltbmx577DEFg0GNHDlSxcXFPWkSAADIAKZpyuVyyeVy5ew0FJ4BgGzS40+xb33rW5Kk\n",
"1atXq6amRvv374/73F27dulHP/pRpLdx2rRpPW0OAABIo1CC5FZTU6GWLPFqyRKvmpoKJblzJnni\n",
"GQDIRq6eXmDMmDGqrKzUkiVLtG7dOt10000aO3aszjnnHJ144okaNGiQvF6vbNuWz+fTvn37tG3b\n",
"Nv3973/XO++8I9u2JUmVlZUaM2ZMj18QAABID9M0ZRiFqq72asGCAgWDocJ3LpetadP8mjPHkGm2\n",
"yrKsNLc0eXgGALJVjxNHKdTraJqmFi9erLa2NtXV1amuri6ucw3D0JVXXqmpU6cmoikAACBNLKtA\n",
"1dVezZ9f2G57MGhEttXU2JJa0tC61OAZAMhWCRsvcc011+i+++7TaaedFvc5Y8aM0axZs0gaAQDo\n",
"5UzTVHOzoQULCmIes2BBgVpajKwdrskzAJDNEtLjGHb66afr9NNP1549e/T+++9r69atamxsVFNT\n",
"kySpqKhIAwYM0MiRI3Xqqadq8ODBibw9AABIE9M0tWpVfmRoZjTBoKGVK/NVWRnIyqGaPAMA2Syh\n",
"iWPYkCFDNGTIEF188cXJuDwAAAAAIIUYJwEAyDksk5B4lmWpvDwgl8uOeYzLZauiInt72ngGALIZ\n",
"vy0BADmDZRKSx7IseTyhyqGxTJvmV2GhnbVJE88AQDZLylBVAAAyDcskJJ9php6jpBjP2Cfb9iub\n",
"HzHPAEC2MuzwQorAUfbs2aO2trZ0NwNJZhiGhg4dqk8//VR8HGS/3I63W9XVRR2WSQirqmpVTU2T\n",
"smmZhHTE2zRNWVaocujKlfmSpIqKgNxuW6bpz4nEPF3PILd/vnMP8c4dpmmqpKQk3c2gxxEAkP1M\n",
"01RTU+fLJMya5ZPXa+ZEcpMsoWfXIq/XVGVlILIt9C+9bUsVngGAbMSEDgBA1uvKMgnMdUwMy7IU\n",
"DAYVDAZzNhHnGQDIJvx2BAAAAAA4InEEAGQ9lkkAAKBnSBwBAFmPZRIAAOgZiuMAAHICyyQAANB9\n",
"JI4AgJxgWZZMs1U1NbZmzfJ1WCYhlDSSNQIAEA2JIwAgZ7BMAgAA3UPiCADIOeFkEQAAxIfiOAAA\n",
"AAAARySOAAAAAABHJI4AAAAAAEckjgAAAAAARxTHAQAASDHTNGWaoe/vKdYEoDcgcQQAAL1Wb0vA\n",
"TNOUZRWoqcnQqlWhtUTLywPyeGyZJmuJAshcJI4AAKDX6Y0JmGmaMoxCVVd7tWBBgYJBQ5Lkctma\n",
"Ns2vOXMMmWZrRrYdAEgcAQBAr9JbEzDLKlB1tVfz5xe22x4MGpFtNTW2pJY0tA4AnFEcBwAA9CqW\n",
"VaAZM0IJWDhplL5IwGbM8MqyCtLYwo5M01Rzs6EFC2K3a8GCArW0GJGhtwCQSfhkAgAAvUZvTcBM\n",
"09SqVfntEt2jBYOGVq7Mz6h2A0AYn0wAAKDXIAEDgPTgExUAACDJLMtSeXlALpcd8xiXy1ZFRSDj\n",
"5mYCgETiCAAAepHemoBZliWPJ1S8J5Zp0/wqLLQzqt0AEEbiCAAAeo3enICZpl9z5vhUVdXaLvF1\n",
"uWxVVbVqzhyf8vJivy4ASCeW4wAAAL1KKAELzXGMvhyHT7btV4bljbIsS6bZqpoaW7Nm+bRyZWj9\n",
"yYqKgNxu+/M2Z1ijAeBzJI4AAKBX6c0JWKhdLfJ6TVVWBiLbQv/S2zYAcELiCAAAep3enoCF2woA\n",
"vQWJIwAA6LVIwAAgNSiOAwAAAABwROIIAAAAAHBE4ggAAAAAcMQcxxTbu3ev3nnnHTU1NWnYsGE6\n",
"66yz5HLFF4adO3dqw4YNam1tVWlpqcaMGSPTJPcHgGxkmmbkM555fACAdCNx7Aa/36/ly5dr6dKl\n",
"amho0IQJE/SDH/zA8ZxgMKhnnnlGy5Yta7d9wIABuuGGGzR27NiY5/p8Pj3++ONavXp1u+0lJSW6\n",
"+eabNXLkyO6/GABARjFNU5ZVoKYmQ6tWhZaZKC8PyOOxZZqZu8wEACC7kTh20apVq7RgwQI1NjbG\n",
"fY5lWXr00Ue1Zs0ajRgxQpdffrn69++vDRs26OWXX9bPfvYzzZgxQ2VlZR3O9fv9euCBB7Rp0yad\n",
"dtpp+trXvia32621a9dq+fLlmj17tmbOnEnyCABZwDRNGUahqqu9MRa2N2SarSSPAICUY5xjF/31\n",
"r39VY2OjxowZo/Ly8rjOWb58eSRp/PGPf6yvfOUrGjNmjK655hrNmDFDlmVp7ty5OnToUIdz//jH\n",
"P2rTpk0aO3as7rvvPp1//vkaO3asrr/+ek2fPl0tLS36xS9+oWAwmOiXCgBIMcsq0IwZXs2fXxhJ\n",
"GiUpGDQ0f36hZszwyrIK0thCAECuInHsogsuuEA///nPdc899+iUU07p9PhgMKgXXnhBklRVVaWC\n",
"gva/8MeMGaMLL7xQhw8f1ksvvdRuX319vWpra2UYhr773e/KMIx2+8vLy3XyySdr9+7devXVV3v4\n",
"ygAA6WSappqbDS1YEDsxXLCgQC0tBvPbAQApx2+eLvra176m4cOHx338+vXrdfjwYQ0ePFinn356\n",
"1GPCPZd/+9vf2m1/6623ZFmWTj31VJWUlDie++abb8bdJgBA5jFNU6tW5bfraTxaMGho5cr8pCSO\n",
"pmnK5XLJ5XKRmAIAOmCOY5J98MEHkqQzzjgj5jGjRo1Sfn6+9u/fr/3792vQoEGSpPfff7/Tc8eM\n",
"GSNJ2rx5syzL4pc9AKBLKMYDAIgHWUaS7dy5U5J0wgknxDzG5XJp6NCh7Y6P99xjjz1WHo9HwWBQ\n",
"u3btSkSTAQBpYFmWyssDcrnsmMe4XLYqKgIJS+a+KMZTpFGjBmj69D6aPr2PRo0aoOrqIhlGIV9I\n",
"AgAkkTgmXX19vSRFehFjGTx4sCS1q9ba0NDQ7XMBAL2LZVnyeELVU2OZNs2vwkI7YYkjxXgAAPEi\n",
"cUyylpYWSZLb7XY8Lry/ubk5si383/GeG74XACCzxZpPaJp+zZnjU1VVa7ueR5fLVlVVq+bM8Skv\n",
"L3Zi2dU2UIwHABAv5jimiG3HHnp05P4jK6eG/zvecwEAmS2e+YSm2aqaGluzZvm0cmXomIqKgNxu\n",
"W7aduDmHXSnGU1mZuOGxAIDeicQxyTwej6TOewPD+8PHh//78OHD3TrXSSAQUCAQiLrPMIzIdQzD\n",
"6LAECLJPOMbEOjcQ7/QJ9doVqLraqwULCiIJm8sVGp46Z46hvLxQYmgYrSoqMlVZGfqstu3Q8FTb\n",
"jh670FxFo92xUmLjzXsm8/HznVuId+44MsbNzc2OnUb5+fnKz89PSjtIHJNswIABkqT9+/c7Hhfe\n",
"379//3bnHj58WPv379eIESO6dK6TxYsX68UXX4y6b+DAgXrsscckScXFxXFdD9kh1pIvyE7EO7Vs\n",
"29aePY264w635s8vbLcvPJ9Qkh580FRJSb+4/xAMBAL67DOfmprsdr2TXq+hY4/1Rv54iBbvQCCg\n",
"ioomuVx2zF5Hl8vWxIlBHXPMMUn7QwSJx893biHeueXWW2/VgQMHYu6fPHmyrr766qTcm8QxyUpL\n",
"S7Vu3Tpt37495jGBQCBSEbW0tDSy/fjjj9fHH3+s7du365xzzol67r59+9Tc3KyCgoJIZdbOXHnl\n",
"lbr88suj7jvyj5W9e/eqra0trmui9zIMQyUlJdq9ezfDnnMA8U4P0zTV1FTQ6XzCWbN82rt3b1zD\n",
"QsM9mHfcEasH87Akv4YMGRIz3m53oaZN83dIZsOmTfOroMDq9MtPZAZ+vnML8c4dpmlqyJAhkqRH\n",
"Hnmk0x7HZCFxTLLRo0dryZIl+uc//ynbtqN+i/zee+8pGAxqyJAhOuaYY9qd+9Zbb+ntt9/W5MmT\n",
"o15//fr1kqSTTz457m+o4+3Ctm2bD6IcQrxzC/FOLcMwujSfMJ7YtLXlq7ra69iDWVNjR2Id7Zqh\n",
"YjyhNkVPPn2fz6vkvdKb8POdW4h39jsyvvFOTUsGyqQl2ZgxY9SvXz999tlnqquri3rM8uXLJUkX\n",
"Xnhhu+3jxo2Ty+XSpk2b9NFHH3U4z7ZtvfLKK1HPBYBcEqtKabLOS7euVEQNBoMxjwnNm2xVTU2T\n",
"Nm6s17x5hzVv3mFt3Fivmpom2XYrRXEAAJJIHJPONE1NmTJFkvTss892KHSzZs0a1dXVqU+fPh2G\n",
"j/bt21eXXXaZJOmpp57qMGy0trZW27dv17BhwzRhwoQkvgoAyEyhZM+tpqZCLVni1ZIlXjU1FUpy\n",
"OyaC3T2vuyzLUnl5oN0SG0dzuWxVVMRXvbQrFVGdEsdw26QWeb2tqqz0qbLSJ6+3VVILSSMAIIKh\n",
"qinw1a9+Ve+8847WrFmj++67T1//+tfVr18/bdiwQS+//LLy8vJ04403qqioqMO5U6ZM0QcffKAN\n",
"GzboRz/6kf7t3/5NhYWFWrt2rVasWCG3260f/vCHysvLS8MrA4D0CVUSLXSsUmqaHXvMunteT1iW\n",
"JY/H7nQ+YWGhnbZkzbIsEkUAQEwkjilgGIZuueUWPfPMM1q2bJnmzp0b2TdgwADdcMMNGjt2bNRz\n",
"CwoKdNddd+nxxx/X6tWr9cEHH0T2lZSU6Oabb9bIkSOT/hoAIFlM04z08nUlebGsgrjm+Ekt3T6v\n",
"u22LJv75hJ1f68geTKeKqBUVAblc0RPVbJfI2AEAJMNmNm1K7du3T2+//bZ8Pp9KSkpUVlYmlyu+\n",
"/P3jjz/Whg0b1NraquOPP15nnnlmUtfu2bNnD1VVc4BhGBo6dKg+/fRTJtfngEyKt2masqwCNTeH\n",
"CsdIUnl5QB6PLdN0Xug+VKW0UKNGDXBMnDZurJfX+0XvYdfOs9XU1PW2OQl93rsUDBqqq8vT7t2G\n",
"KiqCcru7c123qquLYvZgVlW16oEHmjRs2DE5VXWxJ++r3i6Tfr6RfMQ7d5immRHLrtDjmGKDBw/W\n",
"xIkTu3Xu8OHDNXz48AS3CABSr6fDRbsyx6+yMtAucYz3PK9Xuu66ooQMZQ0nM4cOHZnMBHX22bby\n",
"8vxqa2uLq6ex/TU778GUAjm1OHg6hiEDQK4gcQQApFx3h5mmSlub9Pbbee0SzO62rfNkRp0mM9GG\n",
"XVqWJdNsVU2NrVmzfFq5MpSQVlQE5Hbbsm1/zvVCZPr7CgB6M6qqAgBSqitLScSqcNrdKqXxnjdh\n",
"QlDr1kX/brWztnVsa4FmzAglM9ES0RkzvLKs6M+is+qvVET9QiLeVwCA2PjkBACkVFeGizoljuEq\n",
"pbFEq1Ia73ktLYZWrYqeOHbWtiP1JJn5oqeySKNGDdD06X00fXofjRo1QNXVRTKMwna9kMFgUMFg\n",
"MOcSxrBEvK8AALHxyQkAvVxvXcS+p0Jz/Hyqqmpt14PoctmqqmrVnDk+5eV1TBA7O+/BB32f9wL2\n",
"fG5gT5KZnvRU9ma5+n4GgEzHHEcA6KXCBVcSXfkz2bqylITTa4hnjl+08zs7z+839PrrsX89xtO2\n",
"ngpVf+28p3LWLJ+8XjNjY90VPX0/J+p9BQCIjsQRAHqh3lw98sjhorGWkog2zDTWtUJz/ExVVgYi\n",
"20L/uneey+VOSNvC1+xOMtPdqrG9VSLez4l8XwEAOmIMCAD0Qr19GGN3h5nG0t05ftHOS2TbujsX\n",
"M9ck6v2c6PcVAOALhp1rtboRtz179qitrS3dzUCSsYBw79O1Rezb99JkUrzDQxNbWowOw0XTPdQ2\n",
"kW0L96bNmBGrN80n227t0OPY3RgfKZPiHUuiXuuR18vU91Wy9YZ4I3GId+4wTVMlJSXpbgZDVQGg\n",
"t8mWYYzdHWYar2hrH6ajbd2Zi5lLwy4T/X5O9vsKAHIViSMAIK26mtR1JpFFgxLVtu4kM6Fhl6Fk\n",
"KnZPpZ9kKIZEv68AINeROAJAL0P1yNgyqWhQtB7PriQz3a0a29vwfgaA3oHiOADQy1BwJbZMKBoU\n",
"Shbdamoq1JIlXi1Z4lVTU6Ekd5fXJfyip7JVlZU+VVb65PW2SmrJmtjyfgaA3oEeRwDoheIZxigF\n",
"lEv1rTJh7cNk9Xhm+7BLhuUCQOYjcQSAXijWMMby8qBMU/rf/83TaacVdGteXyr0pHCN0zXTXTTI\n",
"sgpUXe3tUNAm3OMpSTU1tqSWhN+7N8uVYbkA0JsxVBVATjBNUy6XSy6Xq8vDBTO1DeFhjH36BPSN\n",
"bwTk9Uo33ujVl77UX5WV/TRq1ABVVxfJMAod72eapvLz81VQUKD8/PykPp9EDuPMNKZpqrm58x7P\n",
"lhaj17/WZOiNw3Iz4XMFAFKFHkcAWS2RFTYztQ3BoKtbvVyhP3QL1NZmqLHR0KuvumSaoV5Lj8dK\n",
"+PNJduGadBdZyYQez2zQG4blZsLnCgCkGokjgKyVCRU2k92Grs7rCy8SHWpXgYJB6a67UvN8kj2M\n",
"M5fWPkT6ZMLnCgCkA+MqAGSt7lTYTPxw0uRW+exKL1deXp4kybZttbXl6+BBI5LIJbsCaaqGcYaK\n",
"rPhUVdUql8uObHe5bFVVtWrOHJ/y8mJX7+yJI3s8Y2FZid4vEyr3AkA6kDgCyEpdTVSSMfcuk+a8\n",
"WZbk97tk24VqaWlRMGiorU1xtC2USPdE6PkWxJ3g9uRZWJYl225VTU2TNm6s17x5hzVv3mFt3Fiv\n",
"mpom2XbyeoJYViL7ZdLPNACkGp9qALJSV3viQkPPijRq1ABNn95H06f3ibu4TCLa0N0/MuPt5frK\n",
"V4L63veKVF1dpEOHWnTggKFXX+28bStWuBQI5Ku7CXR4WN8rrxTIH2dHn2HEblM8kl1kxalXOp09\n",
"nki+VPxMA0CmYo4jgJxn23mRoWdH6urcu6OXmOipeJasiHdeX2uroRUr8mVZoT94a2p8kjomm6Zp\n",
"q7w8qLKyoCSpuNjWr39dqE8+yevW3K3wvMZPPzX16KNNnRauGT8+qLa2PEmBuJ9B7HsntshKPAVR\n",
"WFYCAJCtDDtcKQE4yp49e9SWS6uH5yjDMDR06FB9+umnyqaPg1DRmEKNGjXAMVHZuLFeLpd00kmd\n",
"H+f1Rk+awglFc3PHhCIYNLp8bafrRavYGO7VmzEjerGOn/7Up+uu6xNJYlwuW1u21MvnM3TGGf0j\n",
"x1dUBPTQQz7l59t67bV8SbYuuSQov1+66aYiDRtmqaamSfEWrzkyBpYl/fOfDaqp8cRMcKuqWnXr\n",
"rS3q399SUZFfbW35cT+DZOvsGYcWqG///kjGWpVdla0/3+nSlc+VWJ8XyUS8cwvxzh2maaqkpCTd\n",
"zaDHEUB2ircnzu2W6upMOf1957SEQucVFn2aPbtZ99zjPeq8UM/ed7/bqqIiW+Hf+d2p2Ni+l6tZ\n",
"K1a4FAwa+td/DcjvN9oljeHXs2yZSxMntkWeT0VFQE89dVh33x39vk89dVjXX1+klhZDXq8ZaWv4\n",
"/qE2tE+Ujh7W99e/uvTggz5Jckxwb7qpWeedV+D4DPLy/Cn9Yqs7FWF7w7IS6Boq9wLIZSSOALJW\n",
"aL5ZKOmIloA8+KBPf/97nkaNslRX16jbb/e2S7DiEV9C4dPGjaaefTZUhTHcs+d223rjDZeWLi1Q\n",
"ebkhj8eWZalbS1aE5/X17Zuv004ztHRpgW6+uUirVrkiw1PbM9S3r62aGp8Mw9att7bq7rud7/vg\n",
"g816911T55xTqOZmHdUTKPn90rJl7bcNGfLFH8/btuXp//0/W7fd1qLq6ma9+mro2CMT3FdfdWne\n",
"PKvTocMPPCAZRmp6H7u65AkJQ3br7HMl1Pvsd/wyCgB6I4aqIiaGquaGbB/qEh722dJiRJLC8eOD\n",
"am42IolirCGdYbGGnnVt2Jotn8/Qu+/m6V/+pU133NGxN+3HP27WlCl+jRrVv0fDZuNtU58+AVmW\n",
"S7ZtyOczOr3vBx/Uq6hIUdt+9PM78o/oqqoirVhRoIkTA3r00SaVlfXT+PFtOuus0DzKdetckQT3\n",
"kkv8mjvX12lb3nmnQUuWFOi7321NaqXU0P1cWrLEq+nT+zgeN2/eYVVW+hQMBpPWlq7K9p/vdIn2\n",
"uRKex5qOodRhxDu3EO/cwVBVAEiBLypsmqqstLViRYH+8z/b98Qd2ZP10EM+nX12v3a9dLGGnnWl\n",
"wmKosqelc84p1B13RO9NO3jQiAwzPbpIzdq1oeTKadhs+PXGO5QulOAElZ+fr1WrPLIsaeLEQId7\n",
"WpYhywr9kXLHHR3nKEZ7fkdu+9WvfBo9Ol+rVrkUCBiaOjWg+fML9corHXt3v/Mdf+R1Oj3TVavy\n",
"deCAoRkzvHEVLgISqf3nSiCyLfQvvW0DgGShVjSAnHHokKHrrivSK6/kRx2+uWBBgQoLQwmblJwl\n",
"FJqbnddObGsL9VzU1TXq0UebVFpqqbTU0qOPNqmurlEVFYFO79HZkhAPPeSTy/XFdWzb1pAhluM9\n",
"y8uDCgY7X/exoOCL5xfelp8v/eQnzTJN6fbbvfrpT2O37atf7fz1HX3PZK+ZF++SJxUV0ZN5ZC/L\n",
"shQMBhUMBok9gKxHjyOArNRZoZZogkFDb77p0syZPl19dV6nSygcmVA4DasMJxSdtWHtWpf+4z9a\n",
"VFkZcCxSY1nOy310XBLCpZISW2ef3SaXy1bfvh7V13/RQ2fbts47ry1mxdCnnjqsv/wlX6+/3nlP\n",
"4Kuv5uuss4KR3sRQD6lL11/foquvbtXKlflauzZPDzzg06xZzVq5MvRr6ItnHVR5uTp9pv/6rwHd\n",
"fHNRpz2wiUBBFAAASBwBZJlYa+317Rv//I9RowI6+eTWToeedTWh6KxX7LXX8lRYqE6L1NTU+DpN\n",
"UMJD6YqK8jRpktTcbOjll8NzsVrldhdG5mK1teV3WpDnJz/x6f/+364VDmovKK/Xajesz+uVKivb\n",
"V2YNBiWPxxXXupSrVqXuVxgFUQAAuY7iOIiJ4ji5IZsm1zuttffkk4c1blxbjwrPdPWeR6/v11nh\n",
"mokTA/rVr5rara3YkzbG0zbDCOjQofxOi+ls2VKvQKDzAjpvv92gm28uivQ4JuOZHl2EJ1Vr5mVq\n",
"QRQn2fTzjc4R79xCvHMHxXEAIEG+GJbq0pNPFmjPHkO33RYairl2rUuvvZan009vUzCohA837Dgs\n",
"NJxQBOV2W+2GuXbWQ1lWFtRrr3U+HDTeoZnxLBXy0ENNcQ3hXbbMpUmTgl3uCez5M23W8uUuCRE9\n",
"LAAAIABJREFUtbVFX5cylUNEKYgCAMhlJI4Aeq2jh6UOGWLp2mv9uuqqgFasCFUD/c53mmQYUkGB\n",
"rR/8oEi//32TpNjDDaWAutrRHkp0/PJ6C3TZZQFt22bqvfdMjR5ty+MpaNcb5TTk8cwz29TUlLhn\n",
"E8/agzU1vjivaCg/P/j5M4r+/MI9gZZl9HgIZzhJ69PHpauusrV8eb5uu82rFSvyE3L9nggniwAA\n",
"5BKGqiImhqrmhnQMdQn3EBpGKPGwbfuIxKr9nDenaxw5nHHChKCeeupwzKIyDz7o07e/HVqH76GH\n",
"fCoosDssQL9jhzRunD/yHOJNELoyXDV8fLQhj16vraYmI851IZ2HZsa79uDSpY0aPdqKewivpBjD\n",
"NaVgUFq2LPFDOHvjENFMwVC23EK8cwvxzh0MVQWQc6IVrpkwISi321ZentTS8sUwx/LygDye2InB\n",
"kcMwTdPWQw/5Oi0qE15j8Oyz+6m8PBhZgP7mm4sk2Xr8cZ8aG/PjbkO0tsS695FrDToNefR43Cmt\n",
"3rl7t6Gzz+5qxdDobS8oSM4QToaIAgCQfvQ4IiZ6HHNDqr6xjNUr99Wv+vXUU02qro6vty58rSOL\n",
"zEycGNCjjzZp7FjnXrN33mnQTTcVdVh4vqIi4NhbGa0NsdoS696JLGgTqy3dbVdRkV9SQY/vicxD\n",
"j0RuId65hXjnDnocAeSUaL1ypmnrwQebu9RbFzqv/XqIoaIynRd4ef11V7s1BsNtiKe38ug2xGpL\n",
"rHvHX9AmVrEd5zUlo10n3qVC2traEnJPAACQvZwXFQOABDBNU83NHQu1lJcHlZ9vd1rApaXF6HQN\n",
"xHjk5Ulnntkml+uLb2a/+tVQcpSqNsTji6GZraqs9Kmy0vf5/MKWLiVwoUI8PlVVtbZ7zS6Xraqq\n",
"Vs2Z41Nenj+h9wQAANmJHkcASRerVy7ensKje+ssy1J5eUAul61g0NDatS595ztNkf+PxuWyIwVo\n",
"Nm4MRHrVJk0K6OWXu99jeHRbnO7d1QSsp9U7Y/VeTpwYVGGhFbUnkYqhAAAgGnocAfQ6Rw7DlKRV\n",
"q1wKBIzI/0fzRYGX9r1q+fnBhLbF+d6pT8ii9SQOH14kw2DOIgAAiB89jgCSLlavXFd6Co9Oco5e\n",
"D/H227166qnDkf+PXuAltN7fkb1qpmn2uMfQaW3GdK01eLTwazYMQ/n5+Z2fAAAAcAR6HAEkXaxe\n",
"ua71FHYcUmnbraqpadLGjfWaOrVVa9fm6YEHfNq4sUHz5h3WvHmHtXFjvWpqmmJWBU1Ej+HRbYn3\n",
"3gAAAL0FPY4AUiJar5xlGbrjDo+eeqqp3XYpvt66WOv7eb1SZaUZ+f/O1vtLRI8haw0CAIBsxjqO\n",
"iIl1HHNDKteBMk1TlhWqUBou1HLxxUG53bZMU2ptNbRyZej7rPBSEKaZmqUgorUt1W1IBdb9yi3E\n",
"O7cQ79xCvHMH6zgCyDlH98oZRqhnz7btbvUUJrNt6WgDAABApiJxBJByTks+pLJnzzTNyNqMXySJ\n",
"iV2OIto9AAAAehsSRwA5JzwstanJ0KpVoWGp5eUBeTyJG5aainsAAACkCokjgJximqYMo1DV1d4Y\n",
"hXAMmWbPqqCm4h4AAACpROIIIKdYVoGqq72aP7+w3fZg0Ihsq6mxJbVk9D0AAABSiXUcAeQM0zTV\n",
"3GxowYKCmMcsWBCqrBqel5iJ9wAAAEg1/moBkDNM09SqVfmRoaPRBIOh5Th6kjgm+x5wZpqmXC6X\n",
"XC4XzxgAgARhqCoAICtQkAidocoxAHQfiSOAnGFZlsrLA3K57Jg9gi6XrYqKQLf/oEzFPdARBYng\n",
"hC8VAKDnGMMDIGdYliWPJ5RIxDJtml+FhXaPEsdk3wMdWVaBZswIFSQ6MmEPFySaMcMry4o97xTZ\n",
"64svFYo0atQATZ/eR9On99GoUQNUXV0kwyhkSDMAxIFPSgA5xTT9mjPHp6qqVrlcdmS7y2WrqqpV\n",
"c+b4lJcXO+nLlHtkm57MS6QgEZzwpQIAJIZh27bd+WHIRXv27FFbW1u6m4EkMwxDQ4cO1aeffqpc\n",
"+TgID1traQkVqZGkioqA3O7EDVtLxT26I9PiHX5Ozc3dH0Locrm0ZIlX06f3cTxu3rzDqqz0KRgM\n",
"JqTtvUGmxTvVTNNUU1OhRo0a4Dh0fOPGenm9vX8oc67HO9cQ79xhmqZKSkrS3QzmOALIPaE/Dlvk\n",
"9ZqqrAxEtoX+9Z579Ha5NC+Roizp0ZUqx5WVzDsGACckjgByVir+gCdJiM2yClRdHRpCeKTwEEJJ\n",
"qqmxJbV0cp3MLUhEURYAQLZgsgcAIOUSOS8xUwsSUZQl/Y78UiEWqhwDQHz4jQUAGSxbF7PvyhDC\n",
"eF53JhYkoihL+mXqlwoA0BsxVBUAMhBDHLvGsiyZZqtqamzNmuXrUJDItlP7zEJFWTrvUZ01yyev\n",
"1ySeSRT6UiGUuEefS+v7/P2RzlYCQOYjcQSADJMLRWOSMS8xkwoSUZQlc2TalwoA0FuROAJAhklU\n",
"0ZhMduQQwqNfZ1h3hxBSkAhHy6QvFQCgt8qeCTMAkAVyaTH7TJyXmCgUZclMlmUpGAwqGAzy3AGg\n",
"i3r3Xx0AkGUSXTQmk1mWJdtuVU1NkzZurNe8eYc1b95hbdxYr5qaJtl27x2OS1EWAEC2YahqL9PQ\n",
"0KB169apvr5excXFKisrk9vtTnezAKBbsnkIIUVZAADZhMSxl7BtW4sWLdKLL77Y7ttpj8ej66+/\n",
"XuPHj09j6wAkSiYvZp9M2TgvkaIsAIBsQuLYSzz99NOqra3VkCFDVFlZqeLiYm3ZskVLly7V3Llz\n",
"5ff7NXHixHQ3E0APJbNoDFIvm3tUAQC5hcSxF1i7dq1qa2s1cOBA3X///erXr58k6YwzzlBZWZnu\n",
"vvtuPfnkkxo9erSGDRuW5tYC6KneNMTRNM3IXMts7DVMlCOfjWmacrlcHbYDAJDJendlhRzx7LPP\n",
"SpKmTJkSSRrDSktLNWnSJAWDQT3//PPpaB6ABOsNRWNCyaJbTU2FWrLEqyVLvGpqKpTk7vVFe5KF\n",
"ZwYA6M3occxwO3bs0M6dO1VYWKiLLroo6jEVFRX605/+pLq6OrW0tFAsB8gCmTzE0TRNGUahqqu9\n",
"MXpEDZlm+pPbTMIzAwD0dnzFmeHef/99SdLJJ5+sgoLo67oVFxeruLhYfr9f27ZtS2XzACRZJq47\n",
"Z1kFmjHDq/nzC9sV8AkGDc2fX6gZM7yyrNjrUOYinhkAoLcjccxwO3fulBQakurk+OOPb3c8ACSD\n",
"aZpqbja0YEHsJGfBggK1tBgMv/wczwwAkA34DZXh6uvrJUmDBg1yPG7w4MGSpMbGxqS3CUDuMk1T\n",
"q1blx1wqRAr1oq1cmU8S9DmeGQAgG/AbKsO1tLRIUqfzFsP7m5ubk94mAAAAALmFxDHDGUbsb6iP\n",
"ZNt2l44HgO6wLEvl5QG5XHbMY1wuWxUVgYyZk5luPDMAQDYgccxw4Z7EcM9jLPH2TAJAT1iWJY8n\n",
"VAk0lmnT/CostEmCPsczAwBkA5bjyHADBgyQJO3fv9/xuPD+8PFOAoGAAoFA1H2GYcjj8UT+mx7M\n",
"7BeOMbHODYmIt2kGNGeOT5JiLC3hkxSQZfGeCkvXM+PnO7cQ79xCvHPHkTFubm6OjDSMJj8/X/n5\n",
"+UlpB4ljhgtXU92+fbvjcR999FG7450sXrxYL774YtR9AwcO1GOPPSYptMwHckdJSUm6m4AU6mm8\n",
"A4GAHnzQp9mzm/XKK6FfUBMnBuTxGBo4sE/Sfmn1Zul8Zvx85xbinVuId2659dZbdeDAgZj7J0+e\n",
"rKuvvjop9zZsp5QVaffJJ5/otttuU0FBgebNmxfpDTzSrl27dOutt8rtduuJJ56Iud5jWLw9jnv3\n",
"7lVbW1vPXwQymmEYKikp0e7dux2/wUJ2SHS8Qwvbh74JtW2GWsYjlc+Mn+/cQrxzC/HOHaZpasiQ\n",
"IZLocYSD4447TiNGjND27dv12muv6dJLL+1wzPLlyyVJ5557bqdJoxT/G8q2bT6Icgjxzi2Jijdf\n",
"LnVdOp4ZP9+5hXjnFuKd/Y6Mb7ROpFShOE4vMG3aNEnSokWLdPDgwXb7tmzZomXLlsnlcmny5Mnp\n",
"aB4AAACALEePYy8wduxYXXrppaqtrdW9996rK6+8UsXFxdq8ebOWLl0qy7L0ve99jzHuAAAAAJKC\n",
"xLGXuO6669S3b18tXLhQTzzxRGS7x+PRjTfeqPHjx6exdQAAAACyGYljL3LVVVdp4sSJWrdunRoa\n",
"GjR48GCVlZWxdiMAAACApCJx7GX69++viy++ON3NAAAAAJBDKI4DAAAAAHBE4ggAAAAAcETiCAAA\n",
"AABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAA\n",
"AHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAA\n",
"cETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABw\n",
"ROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE\n",
"4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETi\n",
"CAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROII\n",
"AAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggA\n",
"AAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcETiCAAA\n",
"AABwROIIAAAAAHBE4ggAAAAAcETiCAAAAABwROIIAAAAAHBE4ggAAAAAcORKdwNyjc/n09q1a7V/\n",
"/34dc8wxKisrU9++feM6t6GhQevWrVN9fb2Ki4tVVlYmt9ud5BYDAAAAyHUkjl1k27bWrFmjF198\n",
"UR999JEGDRqkuXPnxnXuypUr9fTTT6u1tTWyzeVyaerUqbriiisc77lo0SK9+OKLsiwrst3j8ej6\n",
"66/X+PHju/+CAAAAAKATJI5dsGnTJj3xxBPasWNHZJthGHGd+5e//EVPP/20BgwYoGuuuUbHH3+8\n",
"PvnkEy1ZskR/+MMfdPjwYX3rW9+Keu7TTz+t2tpaDRkyRJWVlSouLtaWLVu0dOlSzZ07V36/XxMn\n",
"TkzIawQAAACAo5E4dsH69eu1Y8cODR8+XOPGjdMLL7wQ13nbt2/XM888I7fbrdmzZ6ukpESSdMYZ\n",
"Z+hf/uVfdOedd2rJkiU688wzddppp7U7d+3ataqtrdXAgQN1//33q1+/fpFzy8rKdPfdd+vJJ5/U\n",
"6NGjNWzYsMS+YAAAAAAQxXG6ZOTIkbrnnnv085//XBMmTIj7vOeee062beuyyy6LJI1hAwcO1NSp\n",
"UyVJzz77bIdzw9umTJkSSRrDSktLNWnSJAWDQT3//PNdfTkAAAAAEBcSxy4455xzNGbMGEmheYfx\n",
"OHz4sNavXy9JKi8vj3rMRRddpPz8fG3evFl79+6NbN+xY4d27typwsJCXXTRRVHPraiokCTV1dWp\n",
"paUl7tcCAAAAAPEicUyyTZs2ybIslZSUaPDgwVGPcbvdOuWUUyRJH3zwQWT7+++/L0k6+eSTVVBQ\n",
"EPXc4uJiFRcXy+/3a9u2bQluPQAAAACQOCbdzp07JYWGlTo5/vjj2x3f03MBAAAAIFFIHJOsoaFB\n",
"kjRo0CDH48L7w8dLUn19fVznhnsyGxsbu91OAAAAAIiFxDHJmpubJYWGozoJ7z9ynmL4v+M9N3wv\n",
"AAAAAEikrF2OY/369ZGiNF1VWloas5BNV4XXeYy3mE60czsTvna8x8fLNM1utRu9S/h9Q7xzA/HO\n",
"LcQ7txDv3EK8c4dpZkZfX9Ymjh9++KFqa2u7de65556bsMQxWk9iNOH9Ho+n2+d21jMZFggEFAgE\n",
"ou4zDCPShljFfJCdhgwZku4mIIWId24h3rmFeOcW4p1bmpubHb8oyM/PV35+flLunbWJ45QpUzRl\n",
"ypR0N0MDBgyQJO3fv9/xuPD+/v37d/vc8PGdWbx4sV588cWo+0aOHKmampq4rgMAAAAgdWbPnq2t\n",
"W7fG3D958mRdffXVSbl31iaOmSJcEfWjjz5yPC68/8gKquH/3r59e5fPdXLllVfq8ssvj7m/vr5e\n",
"NTU1mjlzZrseUGSn5uZm3XrrrXrkkUeIdw4g3rmFeOcW4p1biHduaW5u1uzZszVjxgzHeCert1Ei\n",
"cUy6k08+WXl5edq7d68+/fRTDR06tMMxPp9PmzZtkmEYGjVqVGT76NGjJYWG3TY3N0d9k+zatUv7\n",
"9++X2+3WiBEj4mpTPF3YW7duZbx8jrBtWwcOHCDeOYJ45xbinVuId24h3rnFtm1t3bpVHo9HXq83\n",
"LW3IjJmWWczr9aqsrEyStGLFiqjHvPrqqwoGgzrllFPaLb1x3HHHacSIEfL7/Xrttdeinrt8+XJJ\n",
"oXmZBQUFiW08AAAAAIjEMSWuvvpqmaap5cuXa+fOne327d27VwsXLpQkTZ06tcO506ZNkyQtWrRI\n",
"Bw8ebLdvy5YtWrZsmVwulyZPnpyk1gMAAADIdQxVTYHS0lJVVVXp6aef1uzZs/WNb3xDpaWl+vjj\n",
"j7VkyRI1NTXpG9/4RmRo6pHGjh2rSy+9VLW1tbr33nt15ZVXqri4WJs3b9bSpUtlWZa+973vqaSk\n",
"JA2vDAAAAEAuIHFMkcsuu0yFhYV6+umnNX/+/Mh2l8ula6+9VldccUXMc6+77jr17dtXCxcu1BNP\n",
"PBHZ7vF4dOONN2r8+PFJbTsAAACA3Ebi2E3FxcV67rnnunRORUWFxo0bp7Vr1+qzzz7TgAEDVFZW\n",
"pr59+3Z67lVXXaWJEydq3bp1amho0ODBg1VWVhb32o0AAAAA0F0kjinm9Xp10UUXdevc/v376+KL\n",
"L05sgwAAAACgE3mzZs2ale5GIPOYpqnTTjtNeXl56W4KUoB45xbinVuId24h3rmFeOeWdMfbsFn8\n",
"BQAAAADggOU4AAAAAACOSBwBAAAAAI5IHAEAAAAAjkgcAQAAAACOSBwBAAAAAI5IHAEAAAAAjlzp\n",
"bgAyi9/v17p167R792717dtXZ555po499th0Nwtd0NDQoHXr1qm+vl7FxcUqKyuT2+3u0TU3b96s\n",
"TZs2ybIsnXTSSTr11FMT1FokSjLijsyT6Djv3btX7733ng4ePCiXy6XBgwfrtNNOU79+/RLYavRE\n",
"ImNu27Y2btyobdu2qbm5WW63W8OHD9fpp58u06QvId34HM8tvTHeJI6I+Mc//qHHHntMhw4dimwz\n",
"DEOXXXaZrr322m4vNtrU1KSXX35Zf/nLX9Tc3KzJkydrypQpiWo2PmfbthYtWqQXX3xRlmVFtns8\n",
"Hl1//fUaP358l6954MAB/frXv9Z7773XbvvIkSN18803q6SkpMftRs8kI+6S9Omnn2rRokV64403\n",
"ZNu2Zs6cqdGjRyeq2eiiRMc5GAzqt7/9rV599dUO+1wul6666ip985vf7HG70X2JjvmuXbv08MMP\n",
"a+fOnR32DRo0SLfffrtOPPHEHrcbXZesz/Gjvfbaa/rv//5vSdJzzz2XkGui6xId77179+qHP/yh\n",
"4zETJ07Uf/zHf3SrvUcicYQk6X//93/18MMPy+PxaOrUqfrSl76k/fv3689//rNefvll1dfX66ab\n",
"burydRctWqQlS5aopaUlss0wjEQ2HZ97+umnVVtbqyFDhqiyslLFxcXasmWLli5dqrlz58rv92vi\n",
"xIlxX6+xsVGzZ8/W7t27dd5550U+yN566y29+eabmjlzpu6//34NHjw4WS8JcUh03FtbW/XEE0/o\n",
"zTfflG3bSWw5uiLRcZ4/f75effVVDR06VJMmTVJJSYkaGxv11ltvac2aNXruuec0bNgwnX/++Ul8\n",
"VXCSyJgHg0H97Gc/0+7du3X66aervLxc/fv314EDB1RbW6utW7dqzpw5evTRR1VQUJDkV4ajJfrn\n",
"O5pdu3bpd7/7XYJajJ5IVryLioo0cuTIqPuGDx/e02ZLInGEpIMHD+o3v/mNTNNUdXW1Ro0aFdl3\n",
"/vnn67777tPf/vY3jRkzRhdffHGXrr1y5Ur5/X6dd955kkIJKhJv7dq1qq2t1cCBA3X//fdHhpmd\n",
"ccYZKisr0913360nn3xSo0eP1rBhw+K65hNPPKHdu3eroqJC06dPj2w/55xzNHjwYC1evFi/+c1v\n",
"NHPmzKS8JnQuGXFvaGjQG2+8IY/Ho4svvljvvfeeduzYkcyXgU4kOs5+v1+vvPKKTNPUzJkzdcwx\n",
"x0T2XXjhhfr973+vZcuW6eWXXyZxTJNEx3zDhg3avXu3hg8frnvuuafdsNRzzz1XN910kz777DPV\n",
"1dVp3LhxSXtd6CgZn+NH8/v9euSRR+T3+xPZdHRDMuN9wgkn6N57701GsyMY0A4tXrxYLS0tuvDC\n",
"C9sljZLk9Xr17//+75KkP/7xj13ugbjkkkv0q1/9SrfddlvCvu1AR88++6wkacqUKR3mJpWWlmrS\n",
"pEkKBoN6/vnn47re1q1b9fe//11ut1vf/va3O+yfMmWKBg0apA0bNmj9+vU9fwHolkTHXZLcbre+\n",
"853v6LHHHtN1112noqKihLYZXZfoOJumqf/zf/6P7r///nZJY1j4C8KPPvqoZw1HtyU65sOHD9ed\n",
"d96pH/7whx3mMno8Hp1yyimSQkPekFrJ+Bw/2jPPPKMdO3bokksu6VFb0XOpiHcykTjmOMuy9NZb\n",
"b0mSysvLox4zZswYHXvssTp48GCHuW6dueKKKzRo0KAetxOx7dixQzt37lRhYaEuuuiiqMdUVFRI\n",
"kurq6toNG47lzTfflCSdd9558nq9Hfbn5eVpwoQJ7Y5FaiUj7pLUr18/TZo0KeMn6OeKZMTZ5XLp\n",
"lFNO0UknnRR1fyAQkCTl5+d3s9XoiWTEfODAgSorK9OIESOi7vf5fJJEMbwUS9bn+JFWr16tFStW\n",
"aMSIEaqqqupRe9EzqYh3spE45rhdu3apsbFRBQUFkW8coxkzZowk6YMPPkhV0xCn999/X5J08skn\n",
"x5ybUlxcrOLiYvn9fm3bti3ua4bjHk1438aNG7vaZCRAMuKOzJOOOP/tb3+TFBr2hNRLdcy3bt2q\n",
"DRs2qE+fPho7dmyProWuSXas9+7dq8cff1xut1s333wzXwalWTb83iZxzHHhuUvHHXecY9XU448/\n",
"XpL08ccfp6RdiF+4Ql5paanjceEYRquodyTbtiNxdrpmeN++ffuYN5EGiY47MlOq47x69WotW7ZM\n",
"knpcjAPdk8qYr1u3Tg888IBcLpf+8z//U3369On2tdB1yYx1MBjUL37xC/l8Pl1//fXdnh+JxMmG\n",
"39sUx8lxDQ0NktTpcNJw5czw8cgc9fX1kuKPYWNjo+NxLS0tkUTQ6Zper1dut1stLS1qbGxkSHKK\n",
"JTruyEypjPPrr7+uxx57TFJo6sIFF1zQ7Wuh+5IZ88bGRv3iF79QMBjU7t27VV9fr7POOkvXXHNN\n",
"zGGsSJ5kxvqPf/yjNm/erK985SuRqSVIr2R/nm/YsEHTpk2T2+1WcXGxvvzlL6u8vDxmpdXuIHHM\n",
"cc3NzZLU6Xym8P5MHG+d68IxiTeG4ZjHcuT+eK7Z0tLS6TWReImOOzJTKuJs27ZeeOEFLVy4UJL0\n",
"9a9/PWpRLKRGMmMeCAT07rvvttv24Ycf6o033lBxcXHUOe1InmTFev369XrppZc0dOjQhKzdh8RI\n",
"VrwLCwt1+umnSwotqXXgwAFt375d27dv14oVKxL6mU7i2AutX7++25UsS0tL2xXBCa+p2Fm1VNZz\n",
"y1zxrosZjmFnx3dnnU3W5ky9RMcdmSnZcW5padEvf/lL1dXVqaCgQN///vfpnUizZMb82GOP1XPP\n",
"PSfLsnTw4EG9++67Wrhwof785z9r7dq1+slPfkLymELJiPXBgwf161//Wvn5+brllltUWFjYozYi\n",
"cZL1s92/f3/dd9997bYdPHhQy5cv1+LFi/XSSy9p2LBhMYtgdgWJYy/04Ycfqra2tlvnnnvuue3e\n",
"OB6PR1LnPYnh/eHjkTni7Q2O95uuI2Pc0tLi+EdEvNdE4iU67shMyYyzz+fT/fffry1btmjgwIG6\n",
"4447dOKJJ3a/sUiIVPxsm6apY489VhMmTNA555yj6upq7dq1S0uXLtU111zT9UajWxIda9u29ctf\n",
"/lKHDh3Sd7/7XYYfZ5hU/t4+5phjNHXqVBmGoYULF2rx4sUkjrlqypQpmjJlSkKuNWDAAEnS/v37\n",
"HY8L7+/fv39C7ovE6WoMw8fHUlhYqMLCQrW2tmrfvn0xKys2NTWppaVFpml2WIsIyZfouCMzJTPO\n",
"v/zlL7VlyxaVlpbq7rvvjrqmI1Iv1T/bRUVF+ta3vqVHH31Ur7/+OoljCiU61vv27dOGDRskSU8+\n",
"+aSefPLJmMdOnTpVkjRz5kyNHj067jaj+9Lxe/uyyy7TwoULtXfvXh08eLDHn/MkjjkuXNlp165d\n",
"CgaDcrmivyXCC0F3VgkKqReOyfbt2x2PizeGhmHo+OOP1+bNm/XRRx/FTBzD1ysuLo5ZVhrJk+i4\n",
"IzMlK86rV6/WunXrNHDgQN11110kjRkkHT/bZ555pqTQ8LZAIMCyDSmS6FiH57o5DXH85z//KUk6\n",
"44wzJIlKuimUjp/tPn36qH///mpoaNChQ4dIHNEzQ4cO1YABA1RfX68NGzZEXbfPsiy98847kqRT\n",
"Tz011U1EJ8LfFH744Ydqbm6OOpx4165d2r9/v9xud1xDV0aPHq3Nmzdr/fr1Gj9+fNTf+B3kAAAY\n",
"QUlEQVRjwvNseU+kRzLijsyTrDi/8MILkqTvf//7GjhwYMLai55Lx892eE6VbduOS3MhsRId62hz\n",
"3Y4W7mm89957u9dodFu6fm+3trZKUkLmL7OOY44zDEMXXnihJGn58uVRj/nHP/6hgwcPatCgQRo1\n",
"alQqm4c4HHfccRoxYoT8fr9ee+21qMeEY3vuuefG1Tt40UUXSZL+/ve/Ry0H7ff79frrr7c7FqmV\n",
"jLgj8yQjzps2bdLHH3+s4cOH6+yzz05kc5EAyYj57t27VVdXF1m7+Wjh7cOGDZNp8qdhqvA5nluS\n",
"EW+/368dO3Zo7969Ufdv3rxZLS0t6tevX0KWTePTAaqsrJTH49GaNWsiPYthhw8f1vz58yV98S3V\n",
"kaZOnaqpU6fqxhtvTElbEd20adMkSYsWLdLBgwfb7duyZYuWLVsml8ulyZMnR7a/9957kfj95je/\n",
"aXfOCSecoHHjxikQCOiZZ57pcL8FCxaovr5ep512WqQENFIv0XFHZkp0nDdv3ixJCV3bC4mV6Ji/\n",
"++67evDBB/XEE090uJdlWXr++eclSV/5ylcS/VLQCT7Hc0ui4/3ZZ59pxowZuueeezos39HW1qY/\n",
"/OEPkhRz9FhXMVQV6t+/v2644QY98sgjeuihh3TFFVfoy1/+svbv36+lS5dq7969uvDCCx3fdJT6\n",
"T6+xY8fq0ksvVW1tre69915deeWVKi4u1ubNm7V06VJZlqXvfe97Kikpifua119/vbZt26Y33nhD\n",
"Pp8vUo3rjTfe0OrVq3XMMcfohhtuSNZLQhySEXdknkTHuampSVIomfjxj3/seGxlZWXUKQxIrkTH\n",
"/Pzzz9ezzz6rTZs2afbs2ZowYYKOPfZYNTQ0aPny5dq4caNKS0t1+eWXJ/mV4Wh8jueWRMd76NCh\n",
"Gjt2rNavX6+77rpLl156qYYOHarGxkbV1tZq8+bNOuaYY/TNb34zIe0ncYQk6bzzztPtt9+uxx9/\n",
"PDL3RQqV7J40aVJCFg4luUyu6667Tn379tXChQvbfavs8Xh04403dkj8O4tHv379NHPmTP36179W\n",
"XV2d6urqIvtOOukk3XTTTRo8eHBiXwS6LNFxPxo/t5khGXE+cOCADhw44HhMor6lRtclMuZ9+vRR\n",
"dXW1HnnkEW3YsCFSeTPsnHPO0Q033MBQyDRJ9uc4Mkui433LLbdo7ty5WrNmjX7/+9+323fCCSfo\n",
"1ltvVVFRUULabtis7I4j+P1+rV27Vnv37lWfPn105pln6thjj013s9AFDQ0NWrdunRoaGjR48GCV\n",
"lZX1eA2/zZs368MPP5RlWRo5ciQFcTJQMuKOzEOcc08iY97W1qZ3331XH3/8sQKBgPr166dTTz1V\n",
"Q4cOTXCr0R38fOeWRMf7k08+0QcffKDGxka53W6deOKJCa9NQuIIAAAAAHBEcRwAAAAAgCMSRwAA\n",
"AACAIxJHAAAAAIAjEkcAAAAAgCMSRwAAAACAIxJHAAAAAIAjEkcAAAAAgCMSRwAAAACAIxJHAAAA\n",
"AIAjEkcAAAAAgCMSRwAAAACAIxJHAAAAAIAjEkcAAAAAgCMSRwAAAACAI1e6GwAAQFc8//zzWrhw\n",
"oSTpueeeS3Nr0BU33nij9u/frwkTJugHP/hByu/f2NioRYsWqa6uTgcOHJDH49Gpp56q//qv/0p5\n",
"WwCgtyFxxP9v796Dqq7zP44/ORwBoSQQFgJFw5UAb6uFUivilki7ra3uamptN8kxm212bGeaJYeo\n",
"Jmd3XW3XynHazXF2randZqQ1p0wSUIlBF/CCgFxERCBCJW7iCTmc3x/8zrdz4HC4aGnt6zHTzPF7\n",
"/ZzvOcycV5/P5/0Rke+ZrVu3cvDgwRGff71+1N8I3D07Hx8fQkNDmTZtGsnJyQQHB3/LrZOr0dHR\n",
"wfr162lqanLa5vjvkWhpaeHpp5/GarViNpt58803uemmm662uSIiNxwFRxGR7xlPT09MJtczEXp6\n",
"eozXAx0z0PZvWk5ODk1NTdx2223ExcVdlzY4cnwOPT09WCwWampqqKmp4ZNPPmHNmjXMnTv3OrZQ\n",
"hmPPnj00NTXh7e3N6tWrmTVrFn5+fnR3d1/VdbOysrBarQB0d3eTm5vLfffddy2aLCJyQ1FwFBH5\n",
"nnnqqad46qmnXO576aWXKC0tJTg4mDfeeONbbpl7OTk5lJWVkZiYeEMEx9dff52goCAAOjs7aWxs\n",
"JCsri8zMTLq6uti2bRtRUVH84Ac/uM4tlaEoLCwEYP78+SQkJBjbzeaR/xTq6elh//79Ttuys7MV\n",
"HEXke0nFcURE/ofYbLbr3YTvJF9fXyIjI3nyySdJSkoCenuX+oYGuXF98cUXAERERFyzax49epQL\n",
"Fy7g4+PDrFmzAKipqeHs2bPX7B4iIjcKBUcREZFhuPvuu43X586du44tkeH46quvgKvrYexr3759\n",
"AMybN49FixYZ27Ozs6/ZPUREbhQaqioiIi41NTXxzDPPAPD000+TmJhIdnY2n3zyCXV1dVy5coWt\n",
"W7cSFBTE8uXLAVi6dCnLli1zeb2cnBy2bdsGfF0NtaSkhJdfftnpuAMHDnDgwAHj30FBQWzdunXA\n",
"dnZ2drJ7927y8/M5f/48Xl5eTJo0iZ///Of86Ec/GvkDGMAtt9xivLbPbXOloaGBPXv2UFxcTHNz\n",
"M6NGjWLcuHHcddddJCUl4eXlZRx75MgRNm/eDMCmTZsYP36807V6enpISUmhs7OT8PBwXn31VZf3\n",
"XLt2Lc3NzaxevZoFCxY4nZ+bm8uhQ4c4c+YMly5dws/Pj9DQUOLi4li4cCGjR492upbjZ5Oenk50\n",
"dDQfffQRWVlZNDY2YrVa+1W1bWxsJCMjgxMnTtDa2oq/vz/R0dEsWbLkmvT0FRUVkZOTQ0VFBW1t\n",
"bXh7exMWFkZcXBz33XcfPj4+Tsc7fofttm3bZnwPYeTFoJqamjh27BgAycnJjBs3jltvvZXPP/+c\n",
"Q4cO8etf/3rAkDqcZ9u3Eu2xY8f48MMPOXPmDFeuXCE4OJi7776bxYsXG/c7deoUH3zwAZWVlXR1\n",
"dTFhwgQWLVrEnDlzhv0+RUTsFBxFRGRQNpttSNVaPTw8hnVdDw8PowjNQIV73PUQXbhwgZdfftkY\n",
"hgi9Q0iLi4spLi5mzZo13HPPPcNq02Dq6uqM17feeqvLY/bt28eOHTuc3lN3dzeVlZVUVlaSnZ3N\n",
"888/T2BgIADTpk3DZDLR09NDSUlJv+BYUVFBZ2cnAPX19TQ1NfWbW1lfX09zczOAU2Bub29n48aN\n",
"VFRUOB3f3t5Oe3s7lZWVfPTRR6SnpxMWFuby/XR1dfGHP/yBEydODPhcCgoK+Mtf/uJUbKa5uZm8\n",
"vDwKCgp46aWXBjx3MBaLhTfeeIP//ve/Tts7OzupqqqiqqqKvXv38txzzxEZGWnsd/X98vDwcPqe\n",
"jrQYVGZmJgBTpkxh3LhxANx77728/fbbdHR0UFhYOKSgNpRna7dv3z62b9/utK2+vp7333+f2tpa\n",
"nn32WT799FPeeustp2HplZWVvPrqq6SkpLBw4cLhvE0REYOCo4iIDOo///kPjY2NPPjggyQlJeHn\n",
"50ddXd1VLzsQGxvLu+++C8CLL75oFMcZag/Q5s2b6ezs5De/+Q1xcXH09PRQVFTEjh076OjoYOfO\n",
"ncydO9epd+9qXLlyhYyMDKA3gMybN6/fMVlZWcaP+zvuuIMHH3yQcePG0dbWRlZWFhkZGZw7d46t\n",
"W7eSlpYGwOjRo4mKiuLUqVOUlpb2K65i79myKyws5Kc//anTNnvwCAsLM4r62Gw2/vznP1NRUYHJ\n",
"ZGLlypUkJCQQEBDApUuXKCgo4K233qKlpYUdO3awfv16l+/7H//4BxcvXmTVqlUkJCTg5eVFdXW1\n",
"sb++vt4IjYGBgTz22GPMmjULk8lERUUFO3fu5LXXXhtxBVPH0BgfH88vf/lLxo8fT0dHB7m5ubz3\n",
"3nt8+eWXbNiwgT/96U/G+w8ODja+X/Ze8bVr15KYmDiidth1d3cbw1GTk5ON7fPnz+e9994z9g8l\n",
"OA72bO3q6ur47LPPiIyMZNWqVUyaNIm6ujq2bNlCXV0dhw8f5u2332bPnj1MmzaNRx99lPDwcMrL\n",
"y3nttddobm7m/fffV3AUkRHTHEcRERlUQ0MDTzzxBL/61a8YM2YMnp6eTJgwod/QwG9bbW0tqamp\n",
"JCQk4OPjg6+vL3PnzuWhhx4CenukTp06NaJrO/bYdHZ2UlhYSFpamvGj/he/+IVT7xb09rDZQ2Nc\n",
"XBzPPfccEydOxGw2ExgYyNKlS42hkydPnnQKCDNmzACgrKysX1uOHz8OQFRUFNA7ZLMve3C0X8d+\n",
"rfLycqC3N+yBBx4gICAAAD8/PxITE7n//vsBOHPmzIDPoqGhgWeffZbk5GR8fX0xm81GWwDeeecd\n",
"uru7GT16NC+88ALx8fF4eXlhNpuJjY3lxRdfBHrXPByuoqIiIzQmJyezbt06JkyYgMlkYsyYMfzs\n",
"Zz9j/fr1eHp60tHRwT//+c9h32O48vPzaW9vZ+zYsU4VgG+++Wbj38ePHx/S+x3s2dqdPn2akJAQ\n",
"XnjhBSZPnozJZCIiIoLVq1cbx3z44YfExMSQmprK+PHjMZlMxMTEsGrVKgDa2tqcesxFRIZDwVFE\n",
"RAYVFBR0Q/ZUJCUlMWnSpH7bp0yZYrxuaGgY0bWfeeYZVqxYwfLly3niiSfYuHEjZ86cwcvLi4cf\n",
"fpiVK1f2O2ffvn10d3djNptZs2aNy+vGx8cbQxvtgRC+DnxtbW3U1tYa29va2qiursZkMvHII48A\n",
"UFpaisViMY6xWq2UlpY6XQcgPDyc9PR00tPTWbp0qcv2hISEAHDp0qUBn0V0dPSA80VbW1uNpS7u\n",
"v/9+l8N3vb29B7z/YOwFaG655RYeffRRl8fcfvvtRs/fkSNHaGtrG9G9htumBQsW9Bvqap9b2tPT\n",
"4zRXdyDunm1fTz75ZL+5qD/84Q+Nobcmk4m1a9f2a5Pj30hTU9OQ7iUi0peCo4iIDGrmzJnXuwku\n",
"xcfHu9xu71UDjLmBw2Wz2fotXxITE8OWLVt44IEHXJ5TXFwM9A5Rvfnmmwe8tn0Oo2PvT2RkpDH0\n",
"1x4C4euexKioKKKioggKCqK7u9tpTlxlZSUWi4VRo0Y5hWZ/f39iY2OJjY11Kupj19PTYwRGx/mY\n",
"fd1xxx0D7nOcO+lu/c2RfIdsNpvRYxoXF+d2vutdd93V75xvQm1tLeXl5ZjNZqcCRHZTp04lNDQU\n",
"6C0INRh3z9ZRYGAgsbGx/babzWbjezPQuqKOQ8pH+vcgIqI5jiIiMqjw8PDr3QSX+haRsXOc0+gu\n",
"ELljrxjb1dXFK6+8Qnl5OWVlZezevZvHH3/c5Tmff/45AIcPHzbm1LnT0dFhvPbw8GD69Onk5eVR\n",
"UlJizHO0z2+09yTOnDmTzMxMCgsLmT17NvB1uIyOjnY7n9NisXDs2DFKS0upqKjg3LlzQ5p3OFDR\n",
"HIDz588br+2ByRU/Pz/8/Pzc9mz2dfnyZSPoDPYdtPfiAly8eHHI9xgue29jfHw8Y8aMcXnMT37y\n",
"E959910aGhqoqKhwOfTUzt2zdTRhwoQB99k/84GOGTVqlPHaXSVgERF3FBxFRGRQfYfHjcRIA5w7\n",
"fn5+LrcPt7qrO15eXvz+978nLS2Nuro6Pv74Y+68806mTp3a79jLly8b9x9KG/r+iJ8xYwZ5eXnG\n",
"vEybzWaEQvtwxlmzZpGZmcnRo0eN81zNb3TU0NBARkYG+fn5dHV1AeDp6UlkZCTe3t6cPHnSbTvd\n",
"ff6OQ2a9vb3dXsfb23tYwdHx2oPNp3W8t/1zuNYsFguHDh0CIDc3l9zc3EHPycnJcRsch/q35a4Q\n",
"lf279m38PYjI/y4FRxERGdRQf3i6C4eOvWvfNb6+vqSkpBhLSvzrX/9yGRx9fHzo7OwkJSWFpKSk\n",
"Yd+n7zzHnp4eWltbGTNmjFGIZ+rUqZjNZlpbW6mqqiIsLIyqqiqn8x3t37+f7du3Y7Va8fb2JiEh\n",
"gdmzZzN9+nR8fHzIyckZNDi6+/wdezgvX76Mr6/vgMcOd5ikY6ga7FzHsOiuDVfj4MGDTmF2KPLy\n",
"8nj88ccH7Ake6t/WUJYN8fT0HFbbRESGQ8FRRESumn0Nwq+++mrAY2pqatxew/4D+kYdShcbG0t8\n",
"fDz5+flUVFRw9OjRfvP2QkNDqa6uNoasDldAQAARERHU1tZSUlJiPM/p06cbx3h5eTFlyhSOHz9O\n",
"UVERzc3N2Gw241xHjY2N/P3vf8dmszFx4kSef/55/P39nY652kBvX/oCepflmDx5ssvjvvzyy2GH\n",
"rtGjR+Pv709ra+ug3x/H/e6GzF4N+9qNy5cv595773V7bElJCVu2bOHy5cvk5+e7XLpFROS7RMVx\n",
"RETkqtl7eBobG13uty9n4Y69d2kkSzZ8W5YvX24EXPv6gI6mTZsG9C7X4G7uYE9PD1artV/xHfi6\n",
"17CkpMSoutq3J9EeWAsLC41hqo7h0u7YsWPGPR577LF+oRGcK7uOxO233268LigoGPA4+5Iaw2V/\n",
"pgUFBW6HoB48eBDoDdaObbpWTp06RW1tLWazmaSkJPz9/d3+N2fOHGN46VCK5IiI3OgUHEVE5KrZ\n",
"i9ScPHmy3xw2m83G9u3bB+1tshcJOX36tNuey+spLCyMuXPnAnD27Fk+++wzp/1JSUmYTCYuXrxo\n",
"rOfY15UrV1i7di0PPfQQO3fu7LffMTiWl5fj4eHRb7kGe3CsqanhyJEjAC6XdHB8jq4qkubl5TlV\n",
"Z7XPfxyOgIAAI7Tu3bvX5f88aGtrY9euXcO+NmCsM9nZ2cnf/vY3l8cUFRUZS1/MmzfvG1lf1F4U\n",
"Z7CKuXaenp5G1d+SkhKnIkIiIt9FCo4iInLV7D+QLRYLGzZsoLq6mu7ubmpra9m0aRO5ubluC4QA\n",
"zJkzB+idq7Zp0ybq6uro6uqiqqrKKdxcb8uWLTPmm/373/92mtcZHBxsVFPNyspiw4YNlJWV0dXV\n",
"RVdXF5WVlbzyyiu0tLTg4eFhLCHhKCYmBi8vLzo7O7FarUycOLFf9c7Q0FBjOGZraysmk8llj6Pj\n",
"M9+2bRsVFRVYrVbOnz/PO++8w+uvv+5U1XOkSzU88sgjmM1mLBYL6enp5OXlYbFY6OrqoqioiLS0\n",
"NMaOHUtgYOCwrx0ZGcmSJUuA3qD7xz/+kerqaqxWK62trXzwwQds3rwZ6F2ywtX6mlerra2Nw4cP\n",
"Aww6RNWR/X8ygHodReS7T3McRUTkqi1YsMAYNnn69GlSU1ONfR4eHixbtoygoCCnNf/6mjx5MklJ\n",
"SWRmZnLixAl+97vfGfsSExNdBqPrISQkhMTERLKzs2lsbGT//v1OhXAWL16MxWIhIyODEydOuAy9\n",
"JpOJlStXupwPaDabiY2N7bcMR18zZ87k448/BpzXgHQUExNjzMtsaGggLS3N6T4pKSkEBASwceNG\n",
"oHeosav1HgcTERHBunXr+Otf/0pLSwtbtmxx2j927FjWrVtHenr6sK8NsGLFCqxWK7t37+bo0aNO\n",
"FWXtQkJCSE1NdVt9dKSys7Pp7u4mKChowM/DlZiYGMaOHcvFixc5cOAAy5Ytu+ZtExH5tig4ioj8\n",
"D/mmyvKbzWZSU1PJzMwkOzub+vp6vLy8mDx5MosWLWLKlClD6nFJSUkhJCSEnJwcvvjiC0wmE8HB\n",
"wU49Z9/k0gJDvfbSpUs5dOgQ3d3d7Nq1i/nz5zutlbdixQri4+PZu3cvJSUlxrzNwMBAYmJiWLhw\n",
"oVEl1ZUZM2YYwdHVEFToXZbDHhzdhZnf/va33HbbbWRnZ3PhwgVuuukmYmNjWbJkCRERETQ0NBjH\n",
"nj17lujo6GE9C7s777yTTZs2sWvXLoqLi2lvbycgIIDZs2ezePHiIQ3vdOfhhx9mzpw57N27l7Ky\n",
"MlpaWvD29iY8PJz4+HgWLlzo9BlcKzabjU8//RSA+fPnD/v8H//4x+zevZvz589z8uRJpk6dquUx\n",
"ROQ7ycPmama+iIiIiIiIyP/THEcRERERERFxS8FRRERERERE3FJwFBEREREREbcUHEVERERERMQt\n",
"BUcRERERERFxS8FRRERERERE3FJwFBEREREREbcUHEVERERERMQtBUcRERERERFxS8FRRERERERE\n",
"3FJwFBEREREREbcUHEVERERERMQtBUcRERERERFxS8FRRERERERE3FJwFBEREREREbcUHEVERERE\n",
"RMQtBUcRERERERFxS8FRRERERERE3FJwFBEREREREbcUHEVERERERMQtBUcRERERERFx6/8Aw2Nd\n",
"ma4CqF8AAAAASUVORK5CYII=\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11c0bce50>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 455
}
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(armrewards3, pulled_count3)\n",
"plt.title(u'Pull counts of UCB')\n",
"plt.xlabel('Truth Reward of Arm')\n",
"plt.ylabel('Count')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Thompson Samplingは腕の推定報酬を返すベータ分布の $\\alpha, \\beta$ 大きくると、腕の期待報酬の分散が小さくなり。期待報酬の少ない腕は全く引かれなくなる。"
]
},
{
"cell_type": "code",
"execution_count": 206,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Start Thompson Samplig using alpha: 1, beta: 1\n",
"Start Thompson Samplig with stop using alpha: 1, beta: 1\n",
"Start UCB\n"
]
}
],
"source": [
"tests = 100000\n",
"arms = 100\n",
"alpha, beta = (1, 1)\n",
"strategy = ThompsonSamplingStrategy(alpha, beta, p=0.0001, arms=arms)\n",
"print('Start Thompson Samplig using alpha: %i, beta: %i' % (alpha, beta))\n",
"rewards1 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans1 = strategy.reward_history\n",
"pulled_count1 = map(lambda a: a.pulled_count, strategy.arms._arms)\n",
"armrewards1 = map(lambda a: a.reward, strategy.arms._arms)\n",
"\n",
"strategy = ThompsonSamplingStrategy(alpha, beta, with_stop=True, p=0.0001, arms=arms)\n",
"print('Start Thompson Samplig with stop using alpha: %i, beta: %i' % (alpha, beta))\n",
"rewards2 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans2 = strategy.reward_history\n",
"pulled_count2 = map(lambda a: a.pulled_count, strategy.arms._arms)\n",
"armrewards2 = map(lambda a: a.reward, strategy.arms._arms)\n",
"\n",
"\n",
"strategy = UCB1Strategy(p=0.0001, arms=arms)\n",
"print('Start UCB')\n",
"rewards3 = np.array([strategy.pull() for _ in xrange(tests)])\n",
"reward_ans3 = strategy.reward_history\n",
"pulled_count3 = map(lambda a: a.pulled_count, strategy.arms._arms)\n",
"armrewards3 = map(lambda a: a.reward, strategy.arms._arms)\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 201,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11d3b75d0>"
]
},
"execution_count": 201,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA38AAAKTCAYAAACpRrHCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3Xl8TNf/P/DXnUxWZJOQREQEQRCxrx8kaktjj639aG3l\n",
"o60SVdVfKa1dqaUfbVNqK9JWSqsPgqhQW+y1JIilIUREREL2Ze7vj3znfmYySyab4L6ej0cej5k5\n",
"55577j13JvOec+45giiKIoiIiIiIiOiVpqjqChAREREREVHlY/BHREREREQkAwz+iIiIiIiIZIDB\n",
"HxERERERkQww+CMiIiIiIpIBBn9EREREREQywOCPiIiIiIhIBhj8ERERERERyQCDPyIiIiIiIhlg\n",
"8EdERERERCQDDP6IiIiIiIhkgMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+IiIiIiEgG\n",
"GPwRERERERHJgLKqK0BERFQWBQUFOHr0KK5evYru3bujWbNmVV0lIiKiFxp7/oio1ObNmweFQgGF\n",
"QoHPP/9cJ12dplDwI4YqXmFhIVatWoW6deuiZ8+eeP/999GiRQu4u7tXddV47VOlysnJwYYNGxAc\n",
"HAwvLy/Y2trC3Nwcjo6OaNOmDd5//32cOXOmqqv5wuP7lOSMVz3RC65Hjx5a/6g0/8zNzWFnZ4f6\n",
"9eujZ8+emD17Nq5cufJc6ycIQpnSiMqioKAAAwYMwPTp0/Hw4UOttAcPHphUxuHDhw2+p8ryd+TI\n",
"EZ198NqninbgwAF4eXlhwoQJ2LlzJ+Lj45GRkYHCwkKkpaXhwoUL+Oabb9ChQwdMnjwZKpWqqqv8\n",
"wtP3Pi3px02ilx2HfRK9xAoLC/Hs2TM8e/YMd+7cQVRUFBYvXowZM2Zg6dKlVV09ogq3YsUKRERE\n",
"AADs7Ozw5ptvolmzZlAqlcjMzCxVWYIgQBTFctVHEAQGelTpdu/ejSFDhkgBnbu7O4KDg9GoUSMA\n",
"QEJCAiIiInDx4kUAQGhoKFxdXfHZZ59VWZ1fVur3M9/b9Kpi8Ef0EhkwYAAGDBggPS8oKEBqaiou\n",
"X76MiIgIpKWlQRRFfPnll6hWrRr/8cvEmDFjsGXLFgBAVFQUunfvXsU1qjzffvstAECpVOLo0aNo\n",
"3rx5qcto0qQJ1q1bZ/CLnSiKeOedd6TnS5cuRc2aNQ2W5+3tXeo6EJkqJSUFb7/9thT4TZo0CWvW\n",
"rIG5ublWvkWLFmHy5MkIDQ0FAPz3v//FnDlzGMCU0oABA+Du7g5BENC6deuqrg5RhWPwR/QSad26\n",
"NcaNG6c3LTMzE5MmTcL27dsBAIsXL8bkyZPh7Oz8PKtIVehV/6X6wYMHuHv3LgCgY8eOZQr8AMDF\n",
"xQXjx483mkcd/AmCgBEjRsDDw6NM+yIqr9DQUKSnpwMAvLy8sHbtWoP3qk2ZMgXR0dHS58DTp09h\n",
"Z2f33Or6KmjVqhVatWpV1dUgqjS854/oFVGtWjV8//33sLe3BwDk5uZiz549VVwrep7KO4TxRXf/\n",
"/n3psaenZ9VVhOg5OnjwoPQ4MDDQ6CQlPj4+uHDhAs6fP4/z588z8CMiHQz+iF4hNjY26Nixo/T8\n",
"+vXrVVgbqgqvcgCoeU+fmZlZFdaE6PlJTEyUHteoUaMKa0JErwIGf0SvGEdHR+nxkydPpMebNm2S\n",
"ZjAbO3ZsieV4enq+EFNhp6SkYOHChejWrRtcXFxgYWEBe3t7+Pn5ISQkBDdu3DCpnOvXr2PmzJlo\n",
"06YNnJycYGlpCTc3N/Tu3Rtff/01srOzjW5fmqnBNWeL27x5s1ZafHy8lFa/fn3p9cOHD2P48OHw\n",
"9PSEpaUlnJyc0Lt3b2kYb3FjxoyRylHf7wcA/v7+OrNRFq+D2rNnz7Bq1Sr4+/vD2dkZ5ubmqF69\n",
"Oho2bIg33nhD7yyWZXX27FlMmTIFLVq0gIODA6ysrFC3bl0MHDgQmzZtQmFhocFt1TPe+vv7S69t\n",
"3rxZ5zg1018k58+fx9ixY9GwYUNYWVnBwcEB3bp1w7fffouCggKTyjh06BAmTJiAxo0bw9bWFtbW\n",
"1vD09MTIkSPx66+/lri9vut39+7dCAoKgpubG6ysrFC/fn0MGTIEhw4d0tpWFEXs2LEDPXv2RK1a\n",
"tWBjYwNfX18sXrwYOTk5eveneX2qr7+MjAwsX74c7du3h42NDWxtbeHn54fPPvsMqampJR6Duh6D\n",
"Bg2Cu7s7LC0tYW1tjTp16iAwMBCbN2826cePJ0+eYNmyZfD394erqyssLS3h7OyMDh06YM6cOVo9\n",
"zPromw0yKysLa9euRadOneDk5AQrKys0aNAA48ePR2xsbIl1MqZ69erS49OnT5erLE1HjhzBmDFj\n",
"4O3tjerVq8PGxgb169fH66+/jvXr1xudQEnz/4N6KPZff/0lDZFWv7/79u2LnTt36mx/4MAB9O/f\n",
"H25ubrC2tkbjxo0xa9YsaXhrcfrOeV5eHr7//nt069YNtra2qFatGnx8fPDhhx8iISGhzOelLEsZ\n",
"lfc9/vjxY8ybNw9t2rSBvb09bGxs0KhRI0yaNAnnz58HUPr/4UQGiUT0QuvevbsoCIIoCIL4+eef\n",
"l5g/MDBQyv/JJ59Ir2/cuFF6fezYsSWW4+npKQqCICoUCp20uXPnGq2TOk3ftqWxadMmsUaNGlJ5\n",
"+v7Mzc3FVatWGSyjoKBAnDFjhqhUKo2W4+bmJkZGRhospzTHpD4/CoVC3Lx5s1baP//8I5VVv359\n",
"sbCwUJw6darRug0bNkxnH2PGjDG6jWZ9i9dBFEXx3LlzYr169Urcfv78+SUerzFZWVniW2+9VeJ+\n",
"vL29xQsXLugto0ePHiYdq7+/f7nqqknz/N25c6dM24miKC5dulQ0MzMzWOeuXbuKOTk5BstLSUkR\n",
"+/btW+Kxt2vXToyPjze5Xh9++KHR8lavXi2KoihmZmaKQ4cONZivTZs2Ylpams7+3n77ba3r7+LF\n",
"i2KdOnUMluPs7CxGRUUZPQ+mXAdBQUFibm6uwXK2bt0q2tvbGy3D2tpaXL58ucEyin/+3b59W/T1\n",
"9TVYnqWlpRgeHm6wvJJMnDhRq7w///yzzGWJoiimpaWJgwcPLvFc1qlTx+C+NP8/xMfHi6tWrRIV\n",
"CoXBsqZPny6KYtHn8fvvv28wX/369cW7d+/q7K/4OU9ISBB9fHwMllO9enXxp59+MngOir8fjO2r\n",
"pG3L+x7/448/RAcHB4PbW1hYiLt37xY3bdokvWbK/3AiQzjhC9ErJD8/H6dOnZKe+/j4lLkssYqH\n",
"D65fvx4TJ06Unnt6eiI4OBj169dHRkYGrly5gl9//RVZWVkICQmBUqnEe++9p1WGKIo6PSMdO3ZE\n",
"YGAgatasiRs3buDnn3/GgwcP8ODBAwQGBmLHjh0YOHBghRxDSedQFEXMnj0ba9asgb29PUaNGoVm\n",
"zZrh6dOn2LlzJ86ePQsACA8Px/r16zFhwgRp23HjxuFf//oXRFHExo0bceLECQDARx99hMaNG2vt\n",
"p3PnzlrPb926hYCAADx9+hQA4OHhgeHDh8PDwwPPnj3DiRMnEBERAZVKhc8++wzt27dH7969S338\n",
"ubm5eO2113Dy5EkARZOnvPbaawgICED16tURExODn3/+GU+ePMGNGzfQrVs3REZGokOHDlrlfPTR\n",
"Rxg9ejSuXbuG5cuXAwC6dOmi8+u3q6trqetYWURRxPfff49Zs2bB2toaI0aMQOvWrZGbm4uIiAip\n",
"d+348eOYP38+FixYoFNGamoqOnXqhJs3bwIomuG0f//+6Ny5MywsLHDu3DmEh4cjKysLZ8+eRYcO\n",
"HXDixAl4eXkZrde6devw1VdfwdzcHCNGjED79u3x8OFDrFu3DsnJyQCKznmfPn0we/Zs7Ny5E+7u\n",
"7hg9ejTq1KmDY8eO4aeffgJQ1OOxbNkyLFy40OD+0tPT0b9/fyQmJqJVq1YYOnQoHBwccPv2bYSH\n",
"h+POnTtISUnB66+/jr/++gtt2rTRKiMvLw+9e/fGhQsXABQNfRw5ciSaNGkCALh8+TJ27NiBzMxM\n",
"7NmzB/PmzcOiRYt06vL1119j6tSp0vP69esjODgYnp6eSE5Oxq5du3Dp0iXk5OTgo48+QlJSEr78\n",
"8kuD5xIomlClX79+iIuLg6+vL4YOHQpnZ2fcuHEDmzdvRmpqKvLy8jB+/Hj4+/trjcww1TvvvIN1\n",
"69ZJz4cMGYJly5ZhwoQJpR6ZkZWVhZ49e0q9Sba2thg1ahS8vb1hZWWFf/75Bzt27MCdO3eQmJiI\n",
"IUOG4MqVK3B3d9cqR/Ozbf/+/QgJCYEgCBg4cCD8/f3x7NkzbNiwAf/88w8AYOXKlQgKCsKePXuw\n",
"du1aODo64q233kLDhg1x6dIlbNiwAQUFBYiPj8esWbOwbds2g8eQn5+PwYMH4+rVq/D29saIESPg\n",
"6uqKe/fu4bfffkNsbCwyMzPx5ptvwsbGBv379y/VOTJVRbzH9+/fj0GDBkkzuTo6OuKNN95AkyZN\n",
"kJ6ejj179uDEiRN44403tK5donKpqqiTiExTmp6/H374QcprZWUlpqSkSGml7flT9wpVRc/f3bt3\n",
"xerVq2vVV9+v+TExMaKNjY0oCIJoa2srZmdna6WvXLlS69f3H3/8UaeMjIwMcfjw4VI+e3t7vT09\n",
"pTkmzfNjrOfP0tJSVCgUoq+vr/jgwQOdciZMmCDlbd26tcH9qXtZBEEQjxw5UmL9hg0bJuUfOXKk\n",
"WFBQoJNny5Yt0vG+8cYbJZapj2aPpr29vd6e1eTkZK0eHU9PT/Hp06d6yzt8+PBz++Vbs73L0vOn\n",
"fg+6u7uL165d08n3xRdfaPV6FRYW6uQZOHCglMfd3V08f/68Tp7bt2+LzZs3l/K1bdtWb1ma9bKz\n",
"sxMdHBzE6OhorTwJCQmik5OTlK9u3bqiIAhi7969ddpk/fr1Uj5vb2+d/Wlekx4eHgY/K3Jzc8Vx\n",
"48ZJeZs3b65zPa5du1ZK9/HxEZOTk/WeB3Nzc1GhUIhubm466adPnxbNzc2lcqZNmybm5+fr5Fu2\n",
"bJnWufr999918mi+v62srERBEMSZM2fq5EtMTBTd3d2lvGvWrNHJY6oPPvhAp0eoSZMm4o8//qi3\n",
"vQ2ZOXOmVrvoO5fZ2dli586djdZbc9SAnZ2daGlpqXOu0tPTRW9vb53ryc/PT0xKStLKe+DAAan3\n",
"rHr16jpto3nO1dfTxIkTdfKpVCpxzpw5Ul4XFxe9PdMV0fNX3vd4dna2dE4Eoaj3/tGjRzrlbN26\n",
"VbSyshItLS3Z80cVgsEf0QvO1ODv9OnTWkNH1MNs1F6m4E/zC0qXLl1ElUplMO+oUaNEFxcX0dXV\n",
"Vbx06ZL0elZWllizZk2pnI0bNxoso7CwUPT395fyvvfee+U6JlODP2PBpiiK4r1796R8SqVSzMzM\n",
"1JuvtMGfnZ2ddCyJiYl68+Tn54vXr18Xr1+/Lt67d6/EMvXVXf1l28zMzOhQtczMTLFp06bSMXz5\n",
"5Zd680VFRb1UwZ+FhYV45swZvflyc3OlHzgUCoUYGxurlX7q1CmpnGrVqumka0pKShJr1aol5d+x\n",
"Y4fReikUCjEiIkJvWVOmTNHK26hRI4PXnXoYp0Kh0AkONa9JQRDEd955x2D9CwsLtYZNFg8iNIPg\n",
"7du3Gyzn9u3b4vXr18W4uDidtH79+kllvP322wbLEEVR/Oyzz7SC0eI039+CIIiDBg0yWNbChQul\n",
"fMOHDze6X2MKCgrEkSNH6gSAglA0VHLNmjViVlZWieVottm3335rMN+2bduk8kNCQnTSiw8Z/+67\n",
"7/SWs2LFCq18Tk5OBj9z1AGnQqEQL168qJVW/Jz36dPH6HFq3v6gHsKsqaKCv/K8x9U/sAmCINaq\n",
"VUsnINa0Zs0arf0y+KPy4IQvRC8RUWOoTUZGBu7evYvff/8dY8eORdeuXZGWlgYAaNeund4hJi8L\n",
"zSE/ixYtMrp23fbt2/HgwQMkJiaiRYsW0uu7du2SJpFo164dxowZY7AMhUKBr7/+Wnq+efNmkyfi\n",
"KK8pU6YYXEOuTp06cHFxAQCoVCppCFV5qSdXEUURDx8+1JtHqVTC29sb3t7eqFOnTqn3oXkOhwwZ\n",
"goCAAIN5bWxstIbXaQ5xe5mNGDECbdu21ZtmYWEhXa+iKOL27dta6evXr5cev/vuu2jatKnB/dSu\n",
"XRufffaZ9Lyk89e/f3/07dtXb1rLli21ni9btgw2NjZ682rWST3phz7W1tZYtmyZwXSFQoH3339f\n",
"eh4WFqaVrjkZkKHrFSgaxunt7Y1GjRppvX7//n3s27cPAGBlZYWvvvrKYBkAMGfOHOl9FxMTIw1b\n",
"NlR39VBkfTTbv3gbl4aZmRnCwsKwZs0aneUb4uPjMXXqVDRo0ABr166VhhDqs3v3bpw9exZnzpzB\n",
"m2++aTCfm5ub9DgjI8No3Vq2bIlJkyYZTNP06aefGhyerb5NQRRFoxO2CIKAVatWGa3TtGnTpMfF\n",
"r6eKVJ73eHh4uPQ4JCQEtWvXNrifyZMno1atWhVQYyLO9kn0Uvn888+l2b5sbW3h6emJwYMHY/Pm\n",
"zcjPzwcA9O3bFxEREbC2tq7i2pZNQkKCNLW5k5MTunXrVqZy/vrrL+nxqFGjSszfrFkzadHwrKws\n",
"6Z6YyjZ8+HCj6eovSqIoSvfolVePHj2kx0OGDMGuXbuMfmEsC83z/8Ybb5SYPzAwUPpSe/PmTene\n",
"s5eZqW0LQKdt1edPEASTzp/mNR4dHW20PY196df8Ampra4sBAwYYzOvg4ACg6Np89uyZwXy9evWS\n",
"1h815LXXXpMea963DGhfr59++ilWrVpldH/FHT16VHrcu3fvEu+7UyqVCA4O1rt9cX5+fmjQoIHB\n",
"dGNtXBbvv/8+bty4gf/3//6fznEkJSVhypQpaN26tcEZRlu3bi39mbpsREk/hBm7PjWvJ0EQjF57\n",
"6usJgNH2bdGihXS/pyHdu3eHUlk0rcXff/9daT/mlec9fubMGQBF52XIkCFGy1EqlXj99dfLWEsi\n",
"bQz+iF5ygiBAqVSia9eu+OWXX7B3794yTSrwotBcm7D4r8alofnlp/gEEoao84miWO7p2U1hYWGB\n",
"Zs2aGc2j2euiDvDLa9myZbC1tQVQ1GswdOhQuLu7491338XevXuRlZVV7n2oz58gCCadf0EQ4Ofn\n",
"B6Do/MfExJS7DlVJ83gMMdS2hYWFiIuLAwCYm5tr9Wgb4ujoiHr16gH436gAQ/Uy1FMBFPWMqbVs\n",
"2dLohCKWlpZ6619c69atDaap1atXD+bm5gCAO3fuaPX2TZ48Gb6+vgCA7OxsTJ8+Ha6urhg+fDi2\n",
"bt1qtDcQKN9nQfHtiytrG5eHk5MTFixYgISEBHzzzTc6EzxdunQJHTp0wPHjx00uMz8/HydPnsSq\n",
"Vaswbtw4rZ7Ykph6Pbm7u8PZ2dlg3oq8niwsLODp6QmgaMKgO3fulLhNaZXnPZ6Tk4OkpCQARcft\n",
"7e1d4v7KM4EbkSYGf0QvkQEDBmD9+vVYv349NmzYgF9//RVHjhzBkydP8Ndff2n9Wv2y0lyb0MnJ\n",
"qczlqId8CoJg8nAZzS8mmvWoLA4ODkaHtAKVs5h506ZNcfToUa0vLklJSfjuu+8QFBQER0dHDB48\n",
"GH/++WeZ96G5bltZzr96CPPLzNgXXcBw22peew4ODiZfA6Zev+ohjfqoe0tKygdo1180MrOtKe2v\n",
"UCi0hjNqtr+NjQ2ioqIwdOhQ6bWsrCyEh4fjrbfegpubGzp37oyNGzfq7eEp77Vo7FyWtY0rgrW1\n",
"Nf7zn/8gNjYWYWFhWj2QmZmZGDZsmNHexszMTGzbtg39+/eHg4MDunTpgunTp2PTpk0m//glCMIL\n",
"eT0BkHqbRVGstM+Tsra/Zn00ezyNKT7cl6isGPwRvURat26NcePGYdy4cRgzZgwGDx6Mrl27olq1\n",
"ahW+r9zc3Aov0xSav45qfnEorby8vFKXo+55KL59aZl67qpyaG6LFi1w7tw5/Prrr+jbt6/WOcrL\n",
"y8Pvv/+OXr16YciQIWXqCazK8/+i0OzJKI2ynDvgf+dPFEWj58/U666iPlcsLCxKna94z4+DgwN2\n",
"7NiB06dP4+2335Z6roGi442Ojsb48ePh5+cnLY2hVpnX4oswvF4QBIwYMQIxMTF49913pdeTkpLw\n",
"ww8/6OTPy8vD4sWLUa9ePYwePRp79uxBVlYWBEFA06ZN8cEHH2DOnDkm79/U6+RFup4qSlnf42WR\n",
"nZ393PZFrzYGf0QyVNL9XZX5S2lJNH/dTE9PL3M5NWvWBFC6Yyne41JWz6PXsCIIgoDBgwdj7969\n",
"SEpKwvr16+Hv76/VG/nbb79pTSZiKvX5B0zvxauo8/+y0xy2XZr3ofr8CYLwQp0/U+/P05xYxFAv\n",
"R9u2bbFx40Y8fPgQv/32G0aNGqUVgMXGxurcg1aW8/kyXosWFhb4+uuv0b59e+m1/fv3a+V59uwZ\n",
"unTpgk8//RSpqakQBAEdOnTA6tWrER8fj5iYGKxatQr+/v7Pu/omK+31JAjCC9drpnlNmXpNqoeJ\n",
"EpUXgz8imdAcflJST86tW7eqrOdPczHh8tx3pzmD5pUrV0zaRvM+M/X9U2qaAVFJ58/U/VUUzbqV\n",
"9RduR0dHjBs3Dn/++Sfi4uK0htitXbu21L86q8+/KIqlPv+CIOicfzmxsrKShpNlZWWZdL9Sbm6u\n",
"1OOlUCjKNENrZVHfv2hMSkqKNETR1ta2xB41S0tLDBgwANu2bcP9+/cxd+5c6X1w9uxZREVFSXk1\n",
"r6WK+Cx4kQmCoLWoefF7Pz/++GOcO3cOQNFkJH/99RdOnjyJKVOmoG7dulK+ippcqjKYcj0Vn13T\n",
"0AyjVcXS0lK6rnJycnDjxo0St1G3G1F5MfgjkgnNmd3Us2kaEhERUdnVMahZs2bSF7/bt2+XeXmD\n",
"f/3rX9LjPXv2lJj/8ePH0iyDCoUCnTp10ko39fw9fvxYmsXtedGcVKA8vaVqDRo0QFhYmHSPTl5e\n",
"ntZEPKYo7fm/cuWKNL27o6OjziQWcqM+f6IomnT+IiMjpfvdfH19K2UoeFkZmy1TTXN2WFMnZVGz\n",
"t7fH3LlztWZMvHjxovRY81o8cOCA1mQyhmie886dO5eqPhXp3r17OHbsGI4dO6YznNUQzV53zaGP\n",
"oijixx9/lJ5v2LABXbp00VvGhQsXyljjynfq1KkSZ++8cOGC1PNXv379EmebrQrqmaxFUcTu3buN\n",
"5n306BEOHTr0PKpFMsDgj0gmNH/5vHLlisF/njk5OVpr3j1vSqUSffr0kZ6XtCbX1q1bMWvWLHzy\n",
"ySe4d++e9PrgwYOl+3Z+//33EnsRV6xYId3b89prr2ndUwRoL7lgbBmIVatWVdr9JYZoTqde0q/i\n",
"SUlJ2LdvH/bt22f012alUqk1mYHmrH2mGDFihPT4hx9+KHHphkWLFkmPNXsd5Urz/K1cuRI5OTkG\n",
"86pUKixZskR6PmzYsEqtW2lduXKlxJknv/32W+lxv379pMd5eXnS9Vp8CYjiNNem07xemzdvLs2U\n",
"+ODBA2zYsMFoOQcOHJDe446OjlrLUDxvv/76K7p164Zu3bph5syZJm2j+VlXv3596XFycjIyMzMB\n",
"FPUQai6hoSk3N1frHL1o95qlpqbi559/Nprnm2++kR5rXk8vEs21Z1etWmV0PcWPP/74ua09S68+\n",
"Bn9EMuHn5ycFQ0+fPsX27dv15psyZYrJvzBXlvfee096/O233xrs+cjJycHs2bOxbNkyLFu2TGuS\n",
"hjp16mDs2LEAioZCjhgxwuC9eHv37pUWGRcEQe+XLM37aEJDQ/WWc+jQISxdurSEo6t4mlOf79q1\n",
"y2jeS5cuITAwEIGBgQgJCTGYb+fOnbh8+TKAohntStsT165dO/Tu3RtA0f1To0aNMjiU+Pvvv8dP\n",
"P/0EoGiijenTp5dqX6+ioUOHSouo37p1C++8847BGRBnz56NEydOACjqBfvPf/7z3OppqokTJxq8\n",
"t+m7776TZpa1sbHB22+/LaUVFhYiKCgIgYGBCAoKMhgE37p1C1u2bAFQ9B7W7O0Dis6R2owZMwz+\n",
"gBMfHy99bgBFn0VVOamLeokLADhx4kSJw/EfP36Mbdu2Sc81f0jTPA5RFKX3t6bCwkKMHz9ea5H1\n",
"ihhNUNFmzJhhcDmTvXv3YuPGjQCKRnEYWoC+qvn7+6N79+4AgPv372PYsGE69zOqVCrMnj0bmzZt\n",
"0lrypaRZoomMkXXw9+jRIxw+fBi7du3C77//juPHjz+XSS4SEhKwf/9+7N69G3///XeFL65MpI+l\n",
"paXWsKj33nsP27Ztk4ZAXb16FQMHDsQPP/yAVq1aafUmPW89e/aUei9UKhWCg4OxcOFCPH78GMD/\n",
"1uEbOnSo9AUgKChIp84rVqyQfvGPiYlB+/btsXv3bumYU1NTsWDBAgwePFh6beLEiQgICNCpk+Yk\n",
"ElFRURg7dixSUlIAFAXTy5cvR1BQEBQKhd7tK1OvXr2koV5nzpzBBx98IN2zk56ejp07d0r3jfXo\n",
"0UM6T3v37sX48eNx69Ytqaz4+HhMmzZNa9HwmTNnlunLxsaNG6Who1FRUejSpQsOHz4sBTGJiYkI\n",
"CQnRCla++OILk9a8etUpFAr8/PPP0vDNbdu2oU+fPlr3/dy8eRP//ve/pV4/QRDw7bffPvchbiVd\n",
"G8OGDcPVq1fRpUsXREZGSu2flJSEjz/+WOvHngULFmgt8WJtbS3dw/b48WP06tULJ06c0HoPr1mz\n",
"Bp06dZKClNdff11n/cyRI0firbfeAlA0YYi/vz++/vpr6ct2Xl4etm/fjk6dOuHBgwcAitY51Awa\n",
"q0K3bt3g5eUFoKjn7s0339RaukLTo0ePMHDgQOlHLhcXF61A2tbWVmtNvuDgYK0hudHR0ejZsye2\n",
"b9+utaac+nPuRTFo0CCkpqaiS5cuCA8Pl3rE0tLSsHTpUgwdOlS6xt5//300b968Kqtr1KZNm6TP\n",
"7v3796Nx48YICQnB2rVrMX/+fPj5+WHRokVo0aIFpkyZIm2n+UMnUWmVfR71l5hKpcKGDRsQGRmp\n",
"k2ZmZob6Ki9sAAAgAElEQVThw4dj0KBBerd97733jH4Qurm5YeXKlXrTsrKyEBoaiujoaK3XXVxc\n",
"MHXqVOkDnqiyLFq0CIcPH8bDhw+RmZmJ0aNHY+LEibCwsJC+ODVs2BB//PGHdJ+LsfWWSlKebdet\n",
"W4f79+9Lv3bPmTMHc+bMgaOjIzIyMrSmX69fvz6+++47nTKqVauGAwcOoE+fPoiJicGtW7cwaNAg\n",
"KJVK2NnZScGk2siRIw0Oee3Tpw+GDx+OX375BQCwefNm/Pjjj3B0dERqaipUKhXMzc2xceNG3Lhx\n",
"w6T7M8pzfjRZWlpizZo1ePPNNwEA//3vf/HNN9+gZs2aSElJgSiKOHz4MOrVqwcLCwts3rwZAwcO\n",
"RG5uLjZu3IiNGzfCysoKZmZm0rAwtSFDhhjtITTG1dUVBw8eRJ8+fXD//n2cP38eAQEBsLS0hI2N\n",
"jVZPrCAImD59Oj7++OOyn4hKUNY2qoi2bd68Ofbs2YOBAwciPT0dBw8exMGDB2FjYwNzc3OtHhmF\n",
"QoGvvvpKa7hoZdWrtGW+/vrr8Pb2xsKFC9GnTx9YWlqiWrVqOkHM5MmTMW3aNJ3tv/76a5w/fx4J\n",
"CQk4fvw4unbtCjMzM9ja2ur05jdq1MjgsM5169YhJycHv/zyC549e4apU6di2rRpcHR0RFpamta9\n",
"gC1atMDevXsr9Et2Wc69mZkZ1q9fj379+iE3Nxc7d+7Evn37EBgYiFatWsHBwQHZ2dm4ePEidu7c\n",
"KQ0dVCqV2Lp1q06v5eLFi9GnTx+oVCrcvXsX3bt3R7Vq1SCKIrKysqBQKDB79myMHDlSCppiY2Mh\n",
"iqLeIL8yrqeS+Pn5ITAwEBMnTsTw4cOlz/PU1FSt+gwcOBDLly83WlZV/X9Tq1evHg4dOoT+/fvj\n",
"7t27SEpKwurVq7Xy+Pj4ICIiAvv27ZNeK+0wfCJNsuz5Cw8PR2RkJBwcHDB69Gh8+umnmDFjBnr1\n",
"6gWVSoWwsDCj9/QARf8Y9P0ZGhqlXlcnOjoazZo1Q0hICD755BP06dMHDx8+xOeff641MxWRmiAI\n",
"0l951a9fH8ePH0fPnj2l17Kzs5Geng6lUok333wTZ8+ehZubm9H9ql8zVqfy1tnW1hYHDx7EnDlz\n",
"UKNGDams1NRUKfCztLTE2LFjcfr0aYOzubm5ueHkyZOYOXMmbGxsIAgCCgoKpMBPEATUqVMH69at\n",
"w/bt242uA7Z161bMnj1bmmBFpVJJwZWPjw+ioqK0eggr4vyYcq4BYNSoUVi7dq1W3R49eqT3S1vv\n",
"3r1x9OhRdOrUSUrLycnRCvzs7Owwb9487Nixo1zt6OPjg/Pnz2PChAkwNzeHIAjIzc3VWpagcePG\n",
"2LlzpzT01hBTz0VFKes1XJFt261bN5w/fx5Dhw6FQlH0LzsrK0sK/ARBQLt27RAVFYUPPvig3PUq\n",
"zTkuTd758+dj9erVcHR0RG5urlbg5+TkhO+//x5r167Vu627uztOnTqFkSNHQqlUQhAEFBYWagV+\n",
"SqUSb7zxBqKjo7V6DjWZm5sjLCwM33//vfQZJ4oiHj9+LAV+1apVw8cff4wTJ04Y/Ewpy3VYns/D\n",
"Hj16YP/+/dL9e+oF7j/99FO8++67+PDDD7FlyxYp8KtVqxYiIiL0jkBQ9+xpLjWQmZmJ7OxsNGjQ\n",
"AH/88YfU+25tbQ1BEJCdna1zf3Bp/y9V9PU0YcIEhIWFoU6dOigsLMTjx4+lYKx69epYuHAhwsPD\n",
"jX6eP4//b6aU1aJFC8TExGDhwoVo1aoVatSoAQcHB7Rt2xYrVqzA6dOn4ebmpnXvpeYEZESlJYhV\n",
"8bNNFfvPf/6DJ0+eYMGCBWjUqJFW2vr16xEZGQk/Pz988sknOtuqe/5Kutm4uC1btmDPnj3w8/PD\n",
"rFmztD4IDh06hNDQULi4uGDFihXlWthaLT8/H7t27dKa9IJeXWVp79jYWBw9ehRpaWlwc3NDjx49\n",
"tKb6fpHk5eXh2LFjuHHjBp48eQJra2t4eXmha9eupVqDKycnB4cPH8bt27fx9OlTODk5wdfXV+t+\n",
"PlOkpaUhMjIS//zzD2rUqAFfX1+Ds+ZVBmPt/eTJExw8eFAa5lm7dm20adNGaxiXplu3buHUqVN4\n",
"8OAB8vLyYGdnh6ZNm6Jjx44Vfq/Ts2fPcOjQIdy9exdZWVmoVasW2rRpo3VfE+lSt/e//vUvHDt2\n",
"DPfv30d+fj5cXFzQuXNnNGjQoKqrqGPMmDHSPXibNm2ShlxmZmbiwIEDiI+Ph1KpROPGjREQEGDy\n",
"/72UlBQcP34c8fHxyMzMRLVq1eDp6YkuXboYDPr0EUURp06dwuXLl/H48WPY2tqiQYMG6NGjx3Nd\n",
"uFsfQ+/vvLw87N69G7t378aFCxeQmJiIjIwMWFpaombNmmjVqhX69u2Lt956q8SeoYyMDOzbtw+3\n",
"b99GtWrV0LRp0+c+XL005s2bhy+++EJ6rF57ND8/H5GRkbh58yYKCwvRoEED9OrVq0rv0ywtU/9/\n",
"z5kzBwsXLgRQdC/8i3ovIxn3Inw/l+Wwz0mTJkEURTRs2FAnrVWrVoiMjCxxZrrSSEtLQ0REBARB\n",
"wNixY3V+AQoICEBUVBTi4uIQFRWFXr16lXuf+fn5CA8PR1BQEIM/GShLe/v4+BgMCF40FhYWCAgI\n",
"KPeXEysrK/Tt27fc9bG3t6/SGRWNtbeDg0Op6tagQYPnFjzUqFEDAwcOfC77epVotveLNpNnaVWr\n",
"Vg2DBw8u8/ZOTk4Vcg0JgoCOHTuiY8eO5S6rohl6f1tYWCA4OBjBwcHl3kf16tUrpJyqZm5ujsDA\n",
"wKquRrmY+v9bcxbXF/EHHzLNi/D9XJbBX6tWrQymqYc9aa6TU14nT56ESqWCj4+PNPlBcQEBAYiL\n",
"i8OxY8cqJPgjIiIiohfTiBEjcOvWLYiiqLWsjj5paWk4ePAggKIhzsXXoSUqDVkGf4YUFBRIi1tX\n",
"5BCuq1evAoDWNL3FqYc93bx5EyqVSrq3g4iIiIhePer5JZo0aWIwj0qlwsSJE6WZaYODg6VZgInK\n",
"ghHG/0lJScGXX36J27dvo3v37vD396+wstXr5dSrV89gnpo1a8La2hoFBQVITEyssH0TERER0Ytl\n",
"+vTpMDMzAwBcu3YN77zzDo4cOYLExETk5eXh4cOH2LVrl7SkBQDUrVsXX331VVVWm14Bsu7527p1\n",
"qzTxQ0JCApycnDBp0iST7isaMWIErKysYG9vDy8vL3Tu3Bnt2rXTm1c9K1tJN6M7Ozvj7t270vpc\n",
"RERERPTq6dChA8LCwjB27FhkZGQgLCwMYWFhBvPXr18ff/zxh8Hbh4hMJevg759//kFMTIz0PDU1\n",
"FadOnUK9evUM3kzbpEkTpKenIy8vD8+ePcPDhw+RlJSEEydOoHnz5vjoo490ZtlST89b0uxb6vSc\n",
"nJzyHBYREVGVet7LctCr7VW9noKDg+Hj44N+/frh0aNHyM3NlZasUB+rm5sbRo8erbXMEFF5yDr4\n",
"mzNnDoCiNXPi4+Oxb98+nDp1CpcuXcKMGTPQpk0bnW2mTJmi9TwnJwcnT57E1q1bceXKFaxbt04n\n",
"j/oNXNKqGhW56oYgCPDy8nrlPihJP0EQ4OjoyPaWCba3vLyM7b1x40Zs3LixqqvxUnoZ27uyzZ07\n",
"F3Pnzq3qalSK+vXro1+/fli8eDGuX7+Oe/fuITs7GzVr1kTdunWNzhdBLx/19/MqrYMc1/kzRr0e\n",
"X61atbBq1SppPHZJrly5gvnz5wMA1q5dqzXEc/z48cjIyMDSpUvh6elpsIwZM2YgISEB8+bNQ9Om\n",
"TY3uLz8/H/n5+XrTBEF4qda4ISIiIiKSi7S0NFhYWBhMNzc3r7SlIGTd86fPyJEjceTIESQnJ+Pq\n",
"1ato3ry5Sds1b94cnp6eiI+Px7Vr19C1a1cpzd7eHhkZGUhJSTEa/KWkpAAA7OzsStzfrl27pBuA\n",
"i/Py8sKSJUtMqjcRERERET0/S5Yswe3btw2mBwcHY/jw4ZWybwZ/xVhYWKBJkyY4e/YskpKSTA7+\n",
"AMDV1RXx8fHIyMjQer1u3bq4d+8e4uPj0bZtW73bPnr0CNnZ2bCwsICrq2uJ+xo8eDCCgoL0pmkO\n",
"FUlJSUFhYaHJx0AvJ0EQUKtWLSQnJ1fo8GF6MbG95YXtLS9sb3lhe8uHQqGQ1nScO3eu0fauzAXg\n",
"GfzpoW6M0q61l5ubCwA6N+T6+Pjg5MmTuHjxIoKDg/Vu+/fffwMAvL29TRrnb2p3cGFhIYM/GVBf\n",
"M4WFhfznIQNsb3lhe8sL21te2N7yodm+VXl7luzW+cvPz8e5c+dw4cIFvemiKErr8nl4eGilJSQk\n",
"SGnF5eXl4fr16wCgcyNnp06doFQqERcXhzt37ujd58GDBwFU7OLyREREREREarIL/lQqFZYvX44l\n",
"S5boXUw9KioKycnJcHV1RcOGDbXSFixYgBkzZiAuLk5nu507dyIzMxNeXl5wd3fXSqtRowYCAwMB\n",
"AJs2bdLpiYuIiEB8fDzc3NzQvXv38h4iERERERGRDrN58+bNq+pKPE9KpRJJSUm4e/cuTp06hcLC\n",
"QmRlZeHhw4fYt28ffvnlFygUCoSEhEjjctVEUcTly5dx+vRp5OXlIS8vD/fv30d4eDgOHDgAhUKB\n",
"adOm6V3MvUmTJoiJicG1a9cQExMDKysrPHr0CHv27MHOnTthZWWFmTNnombNmhV6vJmZmRxGIAOC\n",
"IKBGjRo695vSq4ntLS9sb3lhe8sL21s+BEFA9erVq7oa8rznb8KECcjKysK5c+cQFhamlebs7IxJ\n",
"kybBx8dHZ7sBAwYgJycHv/32m85Mm3Z2dpg4cSIaN26sd58WFhb45JNPEBoaiujoaFy7dk1Kc3Fx\n",
"wdSpU6t83Q8iIiIiInp1yXqdv3v37uHatWt49uwZLC0t4eHhAR8fnxIneklPT8fly5eRkpICMzMz\n",
"uLq6wtfX1+h6HcX3Gxsbi9zcXNStWxctW7astMVcHz58yAlfZEAQBLi6uuLBgwfs6ZUBtre8sL3l\n",
"he0tL2xv+VAoFHBxcanqasiz50/N3d1d5/48U9jZ2Wmt4/e89ktERERERFRWspvwhYiIiIiISI4Y\n",
"/BEREREREckAgz8iIiIiIiIZYPBHREREREQkAwz+iIiIiIiIZIDBHxERERERkQww+CMiIiIiIpIB\n",
"Bn9EREREREQywOCPiIiIiIhIBhj8ERERERERyQCDPyIiIiIiIhlg8EdERERERCQDDP6IiIiIiIhk\n",
"gMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+IiIiIiEgGGPwRERERERHJAIM/IiIiIiIi\n",
"GWDwR0REREREJAMM/oiIiIiIiGSAwR8REREREZEMMPgjIiIiIiKSAQZ/REREREREMsDgj4iIiIiI\n",
"SAYY/BEREREREckAgz8iIiIiIiIZYPBHREREREQkAwz+iIiIiIiIZIDBHxERERERkQww+CMiIiIi\n",
"IpIBBn9EREREREQywOCPiIiIiIhIBhj8ERERERERyQCDPyIiIiIiIhlg8EdERERERCQDDP6IiIiI\n",
"iIhkgMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+IiIiIiEgGGPwRERERERHJAIM/IiIi\n",
"IiIiGVBWdQWq0qNHjxATE4MnT55AoVDAyckJzZo1g729fYnbJicn49KlS8jMzISbmxtatWoFpdK0\n",
"05mQkIDY2Fjk5ubCw8MDvr6+UCgYhxMRERERUeWRZfCnUqmwYcMGREZG6qSZmZlh+PDhGDRokN5t\n",
"CwoKsGXLFuzfv1/rdXt7e0yePBl+fn4G95uVlYXQ0FBER0drve7i4oKpU6fCy8urDEdDRERERERU\n",
"MlkGf+Hh4YiMjISDgwOCgoLg4eGB3NxcXLx4EQcPHkRYWBg8PDzQunVrre1UKhVWrVqFM2fOwNPT\n",
"E0FBQbCzs0NsbCz27NmDpUuX4qOPPtLZDgDy8vKwePFixMXFoVmzZujduzesrKxw/vx5HDhwAJ9/\n",
"/jnmzp3LAJCIiIiIiCqFLIO/Q4cOAQA+/PBDNGrUSHq9Xbt2AIDIyEjs379fJ4g7cOCAFPjNnz8f\n",
"FhYWAABfX1/4+Phg4cKFWLt2LVatWoUaNWpobfvTTz8hLi4Ofn5+mDVrFgRBAAD4+fnB09MToaGh\n",
"WL16NVasWGHy8FEiIiIiIiJTyfJGs0mTJuHjjz9Gw4YNddJatWoFoOiePk0FBQXYsWMHAGD06NFS\n",
"4Kfm6+uLLl26ICMjA3/88YdWWlpaGiIiIiAIAsaOHSsFfmoBAQHw9vZGUlISoqKiyn18RERERERE\n",
"xcky+GvVqhVat26tE4QBQGZmJgCgZs2aWq///fffyMjIgLOzM5o3b6633ICAAADA8ePHtV4/efIk\n",
"VCoVmjZtChcXF6PbHjt2rHQHQ0REREREZAJZBn+GFBQUICIiAgDQpUsXrbRr164BAFq0aGFw+yZN\n",
"msDc3BwpKSlISUmRXr969WqJ2/r6+gIAbt68CZVKVbYDICIiIiIiMoDB3/9JSUnBl19+idu3b6N7\n",
"9+7w9/fXSk9ISAAA1KtXz2AZSqUSrq6uWvlN3bZmzZqwtrZGQUEBEhMTy3wcRERERERE+sh6ZpGt\n",
"W7fi9u3bePr0KRISEuDk5IRJkyZJQzA1paWlAQCcnJyMluns7Iy7d+/i6dOn0mvp6ell3paIiIiI\n",
"iKgiyLrn759//kFMTIzUM5eamopTp07h1q1bOnlzcnIAAFZWVkbLVKdnZ2dLr6kfm7qtel9ERERE\n",
"REQVRdY9f3PmzAFQtPh6fHw89u3bh1OnTuHSpUuYMWMG2rRpo7ONKIpGy1Sna04mo35s6rZERERE\n",
"REQVTdbBn5qNjQ18fHzg4+ODLVu2YM+ePdi0aRP8/PxgZmYGALC2tgZQcq+cOl2dX/04IyOjTNsa\n",
"kp+fj/z8fL1pgiBIZQiCoHdWU3q1qNuYbS0PbG95YXvLC9tbXtje8qHZxtnZ2UY7fczNzWFubl4p\n",
"9WDwV8zIkSNx5MgRJCcn4+rVq9KyDvb29gCgNYunPup0Ozs76TV7e3tkZGQgJSUFnp6epdrWkF27\n",
"diE8PFxvmqOjI7777jsAQK1atUosi14dhpYSoVcT21te2N7ywvaWF7a3vISEhCA1NdVgenBwMIYP\n",
"H14p+2bwV4yFhQWaNGmCs2fPIikpSQr+PDw8cOHCBcTHxxvcNj8/X5qp08PDQ3q9bt26uHfvHuLj\n",
"49G2bVu92z569AjZ2dmwsLCQZgw1ZvDgwQgKCtKbpvnLQnJyMgoLC0ssj15ugiDAxcUFSUlJHD4s\n",
"A2xveWF7ywvbW17Y3vKhUChQu3ZtAMDKlStL7PmrLAz+9FA3hkLxv/lwfHx88Pvvv+Py5csQRVFv\n",
"93xMTAwKCgpQu3ZtODg4aG178uRJXLx4EcHBwXr3+ffffwMAvL29Ter6N7U7WBRFfpjICNtbXtje\n",
"8sL2lhe2t7ywvV99mu1ryi1elUV2s33m5+fj3LlzuHDhgt50URSl2T81e+98fX1ha2uLx48f49y5\n",
"c3q3PXDgAADdBeI7deoEpVKJuLg43LlzR+8+Dx48qHdbIiIiIiKiiiC74E+lUmH58uVYsmSJ3sXU\n",
"o6KikJycDFdXVzRs2FB6XaFQYNiwYQCA7du360zecubMGZw7dw7Vq1fXGY5Zo0YNBAYGAgA2bdqk\n",
"MwwzIiIC8fHxcHNzQ/fu3SvkOImIiIiIiDSZzZs3b15VV+J5UiqVSEpKwt27d3Hq1CkUFhYiKysL\n",
"Dx8+xL59+/DLL79AoVAgJCQEzs7OWtt6eXnhzp07uHbtGs6fPw8rKys8efIEhw4dwo8//ghBEDBt\n",
"2jTUq1dPZ79NmjRBTEwMrl27hpiYGFhZWeHRo0fYs2cPdu7cCSsrK8ycORM1a9as0OPNzMzkMAIZ\n",
"EAQBNWrUQEZGRlVXhZ4Dtre8sL3lhe0tL2xv+RAEAdWrV6/qakAQZRgZ5OTkYM2aNXqHbzo7O2PS\n",
"pElo0aKF3m0LCgqwZcsW7N+/X+t1e3t7TJ48GX5+fgb3m5WVhdDQUERHR2u97uLigqlTp8LLy6sM\n",
"R2Pcw4cPOeGLDAiCAFdXVzx48IDBvgywveWF7S0vbO/SUygU0jwNKpUKKpWqimtkOra3fCgUihdi\n",
"VldZBn9q9+7dw7Vr1/Ds2TNYWlrCw8MDPj4+WhO9GPLo0SNcvHgRWVlZcHFxQevWraFUmjZ/zr17\n",
"9xAbG4vc3FzUrVsXLVu2rLT1XRj8yQP/ecgL21te2N7ywvY2nUKhgEplgexsAYcOFU2CFxCQD2tr\n",
"EQpF3ksRBLK95eNFCf5kPdunu7s73N3dy7Sts7MzXnvttee+XyIiIiK5UygUEARLzJplg7AwCxQU\n",
"FP2IrlSKGDUqD19+KUChyH0pAkCi50nWwR8RERERvXxUKgvMmmWDH3+01Hq9oECQXluyRASQo2dr\n",
"IvmS3WyfRERERPTyUigUyM4WEBZmYTBPWJgFcnIEk27lIZITviOIiIiI6KWhUChw6JC5NNRTn4IC\n",
"AX/+ac7gj6gYviOIiIiIiIhkgMEfEREREb00VCoVAgLyoVQanh1TqRTRs2c+J3whKobBHxERERG9\n",
"NFQqFayti2b1NGTUqDxYWooM/oiK4WyfRERERPRSUSiKlnMAYGCphyyIYh4Y+xFpY/BHRERERC8V\n",
"lUoFhSIXS5aImDcvC3/+WbTIe8+e+bCyEv8v8GPkR1Qcgz8iIiIieukUBXc5sLFRYODAfOm1or+q\n",
"rRvRi4rBHxERERG9tNQBHxGVjBO+EBERERERyQCDPyIiIiIiIhlg8EdERERERCQDDP6IiIiIiIhk\n",
"gMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+IiIiIiEgGGPwRERERERHJAIM/IiIiIiIi\n",
"GWDwR0REREREJAMM/oiIiIiIiGSAwR8REREREZEMMPgjIiIiIiKSAQZ/REREREREMsDgj4iIiIiI\n",
"SAYY/BEREREREckAgz8iIiIiIiIZYPBHREREREQkAwz+iIiIiIiIZIDBHxERERERkQww+CMiIiIi\n",
"IpIBBn9EREREREQywOCPiIiIiIhIBhj8ERERERERyQCDPyIiIiIiIhlg8EdERERERCQDDP6IiIiI\n",
"iIhkgMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+IiIiIiEgGGPwRERERERHJgLKqK1CV\n",
"cnNzcfnyZSQmJqKgoAC2trZo2LAhPD09K3W/CQkJiI2NRW5uLjw8PODr6wuFgnE4ERERERFVHtkG\n",
"f6dPn0ZoaCgyMjJ00nx8fBASEgJbW1udtPfeew8pKSkGy3Vzc8PKlSv1pmVlZSE0NBTR0dFar7u4\n",
"uGDq1Knw8vIq5VEQERERERGZRpbB382bN7Fy5UooFAoMGDAATZs2BQDcuHED+/btQ2xsLL755hvM\n",
"mjXLYBktWrTQ+7qTk5Pe1/Py8rB48WLExcWhWbNm6N27N6ysrHD+/HkcOHAAn3/+OebOncsAkIiI\n",
"iIiIKoUsg799+/ZBpVJh5MiRGDhwoPR669at0aZNG8yePRsXLlxAUlISXFxc9JYxe/bsUu3zp59+\n",
"QlxcHPz8/DBr1iwIggAA8PPzg6enJ0JDQ7F69WqsWLECSqUsm4WIiIiIiCqRLG80GzhwIL744gv0\n",
"6tVLJ61hw4aoU6cOACA+Pr5C9peWloaIiAgIgoCxY8dKgZ9aQEAAvL29kZSUhKioqArZJxERERER\n",
"kSZZBn9169ZF48aNYWNjoze9oKAAAGBubl4h+zt58iRUKhWaNm1qsCcxICAAAHDs2LEK2ScRERER\n",
"EZEmWQZ/xty+fRtJSUkQBAEeHh4VUubVq1cBGL5PEAB8fX0BFN2PqFKpKmS/REREREREagz+NKSl\n",
"pWH16tUAgJYtW8LZ2blCyk1ISAAA1KtXz2CemjVrwtraGgUFBUhMTKyQ/RIREREREalxZpH/k5yc\n",
"jIULFyIpKQnOzs6YNGmS0fwjRoyAlZUV7O3t4eXlhc6dO6Ndu3Z686anpwMwPBOomrOzM+7evYun\n",
"T5+W7SCIiIiIiIgMYPAHIC4uDl9++SWePn2KevXqYdasWXB0dNSbt0mTJkhPT0deXh6ePXuGhw8f\n",
"IikpCSdOnEDz5s3x0UcfwcrKSmub7OxsANB5vTh1ek5OTgUcFRERERER0f/IPvg7dOgQ1q9fj8LC\n",
"QnTs2BHvvvsuLC0tDeafMmWK1vOcnBycPHkSW7duxZUrV7Bu3TqdPOrZPUVRNFqXktKJiIiIiIjK\n",
"StbB32+//YawsDAIgoBRo0Zh0KBBpS7DysoK/v7+cHZ2xvz583Hs2DGMGjVKa4intbU1MjIySuzR\n",
"U6dbW1uXuN/8/Hzk5+frTRMEQSpDEASdpSXo1aNuY7a1PLC95YXtLS9sb3lhe8uHZhtnZ2cb7fQx\n",
"NzevsFUHipNt8BcdHY2wsDAolUpMnToV7du3L1d5zZs3h6enJ+Lj43Ht2jV07dpVSrO3t0dGRgZS\n",
"UlLg6elpsIyUlBQAgJ2dXYn727VrF8LDw/WmOTo64rvvvgMA1KpVqxRHQS87Q0uJ0KuJ7S0vbG95\n",
"YXvLC9tbXkJCQpCammowPTg4GMOHD6+Ufcsy+MvJycEPP/wAAHjnnXfKHfipubq6Ij4+HhkZGVqv\n",
"161bF/fu3UN8fDzatm2rd9tHjx4hOzsbFhYWcHV1LXFfgwcPRlBQkN40zV8WkpOTUVhYWIqjoJeR\n",
"IAhwcXFBUlIShw/LANtbXtje8sL2lhe2t3woFArUrl0bALBy5coSe/4qiyyDv8jISDx9+hTt27dH\n",
"jx49Kqzc3NxcANBZPN7HxwcnT57ExYsXERwcrHfbv//+GwDg7e1tUte/qd3Boijyw0RG2N7ywvaW\n",
"F7a3vLC95YXt/erTbF9TbvGqLLJc5+/PP/8EgFLf45eQkCCt2VdcXl4erl+/DgDw8vLSSuvUqROU\n",
"SpNtM1YAACAASURBVCXi4uJw584dnW1FUcTBgwcBAF26dClVnYiIiIiIiEwhu+AvKysLDx48gJmZ\n",
"mdFF1/VZsGABZsyYgbi4OJ20nTt3IjMzE15eXnB3d9dKq1GjBgIDAwEAmzZt0hmGGRERgfj4eLi5\n",
"uaF79+6lPCIiIiIiIqKSyW7YZ2ZmJoCi3rbFixcbzVuvXj289dZb0vPXX38d27Ztw5IlS9CvXz80\n",
"bNgQhYWFOHHiBI4fPw6FQoExY8boLWvYsGG4du0aYmNj8cUXX6Bv376wtLTE+fPnERkZCSsrK0yZ\n",
"MgVmZmYVdqxERERERERqsgv+1ONtVSoVrly5YjSvSqXSej5gwADk5OTgt99+05lp087ODhMnTkTj\n",
"xo31lmVhYYFPPvkEoaGhiI6OxrVr16Q0FxcXTJ06VWe4KBERERERUUURRN5dWmrp6em4fPkyUlJS\n",
"YGZmBldXV/j6+sLCwsKk7e/du4fY2Fjk5uaibt26aNmyZaWt7/Lw4UPO9ikDgiDA1dUVDx484A3j\n",
"MsD2lhe2t7ywveWF7S0fCoXihVjSQ3Y9fxXBzs5Oax2/0nJ3d9e5L5CIiIiIiKgyyW7CFyIiIiIi\n",
"Ijli8EdERERERCQDDP6IiIiIiIhkgMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+IiIiI\n",
"iEgGGPwRERERERHJAIM/IiIiIiIiGWDwR0REREREJAMM/oiIiIiIiGSAwR8REREREZEMMPgjIiIi\n",
"IiKSAQZ/REREREREMsDgj4iIiIiISAYY/BEREREREckAgz8iIiIiIiIZYPBHREREREQkAwz+iIiI\n",
"iIiIZIDBHxERERERkQww+CMiIiIiIpIBBn9EREREREQywOCPiIiIiIhIBhj8ERERERERyQCDPyIi\n",
"IiIiIhlg8EdERERERCQDDP6IiIiIiIhkgMEfERERERGRDDD4IyIiIiIikgEGf0RERERERDLA4I+I\n",
"iIiIiEgGGPwRERERERHJAIM/IiIiIiIiGWDwR0REREREJAMM/oiIiIiIiGSAwR8REREREZEMMPgj\n",
"IiIiIiKSAQZ/REREREREMsDgj4iIiIiISAYY/BEREREREckAgz8iIiIiIiIZYPBHREREREQkAwz+\n",
"iIiIiIiIZEBZ1RWoSrm5ubh8+TISExNRUFAAW1tbNGzYEJ6eniVum5ycjEuXLiEzMxNubm5o1aoV\n",
"lErTTmdCQgJiY2ORm5sLDw8P+Pr6QqFgHE5ERERERJVHtsHf6dOnERoaioyMDJ00Hx8fhISEwNbW\n",
"VietoKAAW7Zswf79+7Vet7e3x+TJk+Hn52dwn1lZWQgNDUV0dLTW6y4uLpg6dSq8vLzKeDRERERE\n",
"RETGmc2bN29eVVfiebt58yYWLVqEwsJCBAUFYdCgQejatStq166NO3fuIDExEffu3UPXrl21tlOp\n",
"VFi5ciX++usveHp64t///jd69eoFJycnxMbG4ujRo/Dy8oKrq6vOPvPy8rBw4UJcvHgRzZo1w7//\n",
"/W/4+/ujWrVquHTpEo4dO4aWLVvCwcGhQo81MzMToihWaJn04hEEATVq1ND7Ywa9etje8sL2lhe2\n",
"t7ywveVDEARUr169qqshz56/ffv2QaVSYeTIkRg4cKD0euvWrdGmTRvMnj0bFy5cQFJSElxcXKT0\n",
"AwcO4MyZM/D09MT8+fNhYWEBAPD19YWPjw8WLlyItWvXYtWqVahRo4bWPn/66SfExcXBz88Ps2bN\n",
"+v/s3Xt0FeW9N/DvzJ59DYSgBBLkJnVhRAwI1qIeBRNQa7HRVxSxjUVdh3O8IrTR4OUIWgUJCJ5K\n",
"BVt9KbRSX201eiyLW0AOFlpOEFBDSHs0KoUEoiUh+z575v1j2JvsZF8m+5K9k/l+1mKtsOf2zDyT\n",
"nfnN8zy/B4IgAAAmTJiAUaNGYe3atXjppZewYsUK3d1HiYiIiIiI9DLkQLOysjI888wzmD59epdl\n",
"F1xwAc477zwAQGNjY+hzWZbx1ltvAQDKy8tDgV9QcXExrrrqKrS3t+P9998PW3bq1Cls2rQJgiDg\n",
"7rvvDgV+QSUlJRgzZgyampqwY8eOVJwiERERERFRGEMGf8OHD8eFF14Ih8MRcbksywAAs9kc+uzA\n",
"gQNob29Hfn4+xo0bF3G7kpISAMBHH30U9vmePXugKAouuuiisJbESNvu3r27eydDRERERESkgyGD\n",
"v1g+//xzNDU1QRAEjBgxIvR5fX09AOCSSy6Jum1RURHMZjNaWlrQ0tIS+vzw4cNxty0uLgagjUdU\n",
"FCWpcyAiIiIiIuqMwV8Hp06dwksvvQQAGD9+PPLz80PLvv76awDAyJEjo24vSVIo2Utwfb3bnnvu\n",
"ubDb7ZBlGceOHUv8JIiIiIiIiCJg8HfGiRMn8PTTT6OpqQn5+fn4t3/7t7Dlp06dAgAMGjQo5n6C\n",
"AWNbW1vos9bW1oS3JSIiIiIiSgWmlQTQ0NCAqqoqtLW1YeTIkaisrMQ555wTto7H4wEA2Gy2mPsK\n",
"Lne73aHPgj/r3TZ4LCIiIiIiolQxfPBXU1ODX//61wgEApg8eTLuv/9+WK3WqOvHmzMvuLxjRs/g\n",
"z3q3JSIiIiIiSjVDB3/vvvsuNm7cCEEQMHv2bNx8881R17Xb7QDit8oFlwfXD/7c3t6e0LbR+P1+\n",
"+P3+iMsEQQjtQxCELlNLUN8TrGPWtTGwvo2F9W0srG9jYX0bR8c6drvdMRt9zGZz2KwDqWTY4G/v\n",
"3r3YuHEjJEnCvHnzcPnll8dcPy8vDwDCsnhGElw+YMCAsG3b29vR0tKCUaNGdWvbaN555x28/fbb\n",
"EZedc845WLNmDQBg8ODBcfdFfUe0qUSob2J9Gwvr21hY38bC+jaW+fPn49tvv426fObMmbj99tvT\n",
"cmxDBn8ejwevvfYaAOBf//Vf4wZ+ADBixAh8/PHHYRO/d+b3+0OZOjtOEzF8+HAcPXoUjY2NuOyy\n",
"yyJue/LkSbjdblgsllDG0FhuueUWzJgxI+Kyjm8WTpw4gUAgEHd/1LsJgoCCggI0NTWx+7ABsL6N\n",
"hfVtLKxvY2F9G4coihgyZAgAYOXKlXFb/tLFkMHf1q1b0dbWhssvvxxTp07Vtc3YsWNRXV2NTz75\n",
"BKqqRmye/+yzzyDLMoYMGYKBAweGbbtnzx4cPHgQM2fOjLj/AwcOAADGjBmjq+lfb3Owqqr8MjEQ\n",
"1rexsL6NhfVtLKxvY2F9930d61fPEK90MeRUD9u3bweAmGP8OisuLkZubi6++eYb1NbWRlxny5Yt\n",
"AICrrroq7PMrrrgCkiShoaEBX375ZZftVFXFtm3bIm5LRERERESUCoYL/lwuF44fPw6TyRRz0vXO\n",
"RFHEbbfdBgB44403uiRv2bdvH2pra9GvX78u3TH79++PG2+8EQCwbt26Lt0wN23ahMbGRgwdOhRT\n",
"pkxJ5LSIiIiIiIhiMly3T6fTCUBrbVuyZEnMdUeOHIm77ror9P/p06fj0KFD2LdvH5566incdNNN\n",
"yM3NRV1dHT744AOYTCY88MADyMnJ6bKv2267DfX19airq8MzzzyDG264AVarFfv378fWrVths9nw\n",
"0EMPwWQypfaEiYiIiIiIYMDgL9jfVlEUfPrppzHXVRQl7P+CIOCRRx7B+vXrsXnzZqxevTq0LC8v\n",
"D/fddx8mTJgQcV8WiwULFy7E2rVrsXfvXtTX14eWFRQUYN68eRg9enSip0VERERERBSToHJ0aUJO\n",
"njyJgwcPwuVyoaCgABMnToQk6Yuljx49irq6Oni9XgwfPhzjx49P2/wuzc3NzPZpAIIgoLCwEMeP\n",
"H+eAcQNgfRsL69tYWN/Gwvo2DlEUs2JKD8O1/KVKfn4+pk2bltC2w4YNw7Bhw1JcIiIiIiIiougM\n",
"l/CFiIiIiIjIiBj8ERERERERGQCDPyIiIiIiIgNg8EdERERERGQADP6IiIiIiIgMgMEfERERERGR\n",
"ATD4IyIiIiIiMgAGf0RERERERAbA4I+IiIiIiMgAGPwREREREREZAIM/IiIiIiIiA2DwR0RERERE\n",
"ZAAM/oiIiIiIiAyAwR8REREREZEBMPgjIiIiIiIyAAZ/REREREREBsDgj4iIiIiIyAAY/BERERER\n",
"ERkAgz8iIiIiIiIDYPBHRERERERkAFKmCwAALS0tOHHiBAYOHIjCwsJMF4eIiIiIiKjPSUvL31tv\n",
"vYU//OEPutf//PPPsXjxYqxduzYdxSEiIiIiIjK8tAR/b7/9Nt5++23d648dOxYAcPTo0XQUh4iI\n",
"iIiIyPCyYsxfIBAAALhcrgyXhIiIiIiIqG/KiuDvv//7vwEA/fv3z3BJiIiIiIiI+qaUJHw5efIk\n",
"Tp482eXzurq6qNsEAgH885//xGeffYZdu3YBAMaPH5+K4hAREREREVEnKQn+du7c2WWMn6IoWLx4\n",
"se59DBo0CLNmzUpFcYiIiIiIiKiTlAR/qqomvG1ubi4uv/xyzJo1C7m5uakoDhEREREREXWSkuBv\n",
"xowZmDp1KgRBgKqqeOihhyCKIv7zP/8zamAoiiJsNhv69euXiiIQERERERFRDCkJ/hwOBxwOR5fP\n",
"8/PzU7F7IiIiIiIiSlJKgr/OrrnmGphMpnTsmoiIiIiIiBKQluDvgQceSMduiYiIiIiIKEFZMc8f\n",
"ERERERERpVdaWv4AbaqHvXv34n/+539w7NgxuN1uBAKBuNu9/PLL6SoSERERERGRYaUl+PP7/Xju\n",
"uedw+PDhdOyeiIiIiIiIuiktwV91dXUo8LNYLDj//PORl5cHi8UCQRCibhdrGRERERERESUuLcHf\n",
"nj17AAAXXXQRHnvsMdjt9nQchoiIiIiIiHRKS8KXpqYmAMCcOXMY+BEREREREWWBtAR/VqsVADB8\n",
"+PB07J6IiIiIiIi6KS3B38iRIwEA3377bTp2T0RERERERN2UluDvuuuuAwC8//776dg9ERERERER\n",
"dVNaEr5cccUV+OSTT7B582aYTCb86Ec/giSlbUpBIiIiIiIiiiMtEdnOnTsxZswYfPHFF/jTn/6E\n",
"3bt3Y9KkSRg+fDhycnJiTukwZcqUdBSJiIiIiIjI0NIS/L3yyith/29ra8OOHTt0bdvXg7+vv/4a\n",
"dXV18Hq9GDFiBIqLiyGKael9S0REREREFGLYvpg+nw9btmzBe++9h9bWVkyZMgX3339/zG0eeOAB\n",
"tLS0RF0+dOhQrFy5MuIyl8uFtWvXYu/evWGfFxQUYN68eRg9enT3T4KIiIiIiEintAR/v/jFL9Kx\n",
"25SpqanBxo0b0dbWltD2l1xyScTPBw0aFPFzn8+HJUuWoKGhARdffDGuu+462Gw27N+/H1u2bMHi\n",
"xYvx9NNPMwAkIiIiIqK0SUvwN3jw4HTsNmV27dqFtrY2FBcXY9CgQaipqenW9k8++WS31v/973+P\n",
"hoYGTJgwAZWVlaExjxMmTMCoUaOwdu1avPTSS1ixYgUT4xARERERUVoYcrDZlVdeiRUrVuCJJ57A\n",
"hRdemNZjnTp1Cps2bYIgCLj77ru7JLspKSnBmDFj0NTUpHtcJBERERERUXelpZkp1ri4eKJ1nUyl\n",
"4DyEPWHPnj1QFAVjx45FQUFBxHVKSkrQ0NCA3bt3Y/r06T1WNiIiIiIiMo60BH8PPPBAwtu++eab\n",
"KSxJ5h0+fBhA9HGCAFBcXAwA+Pvf/w5FUZj9k4iIiIiIUo5RRpp9/fXXAICRI0dGXefcc8+F3W6H\n",
"LMs4duxYTxWNiIiIiIgMJC0tf//xH/8RdZmiKGhvb0djYyP+/Oc/48SJExgzZgxmzZoVc/L3bDJr\n",
"1izYbDbk5eVh9OjRuPLKK/Hd73434rqtra0A4ndnzc/Px1dffZVwBlIiIiIiIqJY0hL8XXzxxXHX\n",
"ueKKK3D77bfjrbfewjvvvIPdu3fj3//939NRnJQpKipCa2srfD4fTp8+jebmZjQ1NeHPf/4zxo0b\n",
"h4qKCthstrBt3G43AHT5vLPgco/Hk57CExERERGRoWV0XgGTyYQ77rgDra2tqKmpwcSJE3H55Zdn\n",
"skgxPfTQQ2H/93g82LNnD37729/i008/xa9+9asu6wRbM1VVjbnveMuJiIiIiIiSkRWTypWVlaGm\n",
"pgabNm3K6uCvM5vNhmuvvRb5+fl49tlnsXv3bsyePTusi6fdbkd7e3vcFr3gcrvdruvYfr8ffr8/\n",
"4jJBEEL7EQSh13SnpcQF65h1bQysb2NhfRsL69tYWN/G0bGO3W53zIYfs9kMs9mclnJkRfAXDJYa\n",
"GxszW5AEjRs3DqNGjUJjYyPq6+vxL//yL6FleXl5aG9vR0tLC0aNGhV1H8HpMQYMGKDrmO+88w7e\n",
"fvvtiMvOOeccrFmzBgAwePBgnWdBfUG06USob2J9Gwvr21hY38bC+jaW+fPn49tvv426fObMmbj9\n",
"9tvTcuysCP4aGhoAAIFAIMMlSVxhYSEaGxvR3t4e9vnw4cNx9OhRNDY24rLLLou47cmTJ+F2u2Gx\n",
"WFBYWKjreLfccgtmzJgRcVnHNwsnTpzo1deV9BEEAQUFBWhqamIXYgNgfRsL69tYWN/Gwvo2DlEU\n",
"MWTIEADAypUr47b8pUvGg7/jx49j7dq1AIDzzz8/w6VJnNfrBQA4HI6wz8eOHYs9e/bg4MGDmDlz\n",
"ZsRtDxw4AAAYM2aM7mZ/vc3Bqqryy8RAWN/Gwvo2Fta3sbC+jYX13fd1rF+9w7zSIS3B3y9/+cuY\n",
"y1VVhdfrRVNTE7788svQ59OnT09HcVIiOF/f8OHDuyzz+Xw4cuQIAGD06NFhy6644gr85je/QUND\n",
"A7788ssu8/2pqopt27YBAK666qp0FJ2IiIiIiCg9wd+HH37Y7W2mTJkSNlYu2/z85z/HqVOn8Oyz\n",
"z2LMmDFhy/74xz/C6XRi9OjRGDZsWNiy/v3748Ybb8R7772HdevW4cknn4TJZAot37RpExobGzF0\n",
"6FBMmTKlR86FiIiIiIiMJy3BX7wJzQFtmgeHw4Hhw4dj8uTJmDRpUjqKkjI/+MEP8Lvf/Q5Lly7F\n",
"97//fVxwwQUIBAL485//jI8++giiKGLOnDkRt73ttttQX1+Puro6PPPMM7jhhhtgtVqxf/9+bN26\n",
"FTabDQ899FBYUEhERERERJRKaQn+Vq9enY7dZtQPf/hDeDwevPvuu12ybA4YMABz587FhRdeGHFb\n",
"i8WChQsXYu3atdi7dy/q6+tDywoKCjBv3rwu3UWJiIiIiIhSSVA5urRbWltb8cknn6ClpQUmkwmF\n",
"hYUoLi6GxWLRtf3Ro0dRV1cHr9eL4cOHY/z48Wmd26W5uZnZPg1AEAQUFhbi+PHjHDBuAKxvY2F9\n",
"Gwvr21hY38YhimJWTOnRY9k+nU4nvvnmG3g8HjgcDuTn58NqtfbU4VNmwIABSY1NHDZsWJdxgURE\n",
"REREROmW1uAvEAhg27Zt2LZtG77++uuwNxqiKOKCCy7A97//fVx55ZXpLAYREREREZHhpS34a2tr\n",
"w7Jly/C3v/0t4nJFUdDQ0ICGhgbs2rUL8+fP75UtgURERERERL1BWoI/VVWxfPnyUOA3atQoXHHF\n",
"FTjvvPNgtVrhdrvx5ZdfYvfu3WhubsbHH3+MF198EQsXLkxHcYiIiIiIiAwvLcHf7t27Q5Oe/+hH\n",
"P8IPf/jDLut873vfw8yZM/HGG2/g/fffx4EDB7B3715Mnjw5HUUiIiIiIiIyNDEdO929ezcA4Prr\n",
"r48Y+IUOLor48Y9/HJrcfOfOnekoDhEREVHCRFGEJEmQJAmimJZHJyKiHpGWb7DPP/8cAHDjjTfq\n",
"Wv/mm28O246IiIgo07RAzwan04rqageqqx1wOq0AbAwCiahXSku3z/b2dgDAkCFDdK0fnPPC6XSm\n",
"ozhERERE3SKKIgTBispKBzZutECWtTl5JUnF7Nk+VFUJEEUvFEXJcEmJiPRLy2urnJwcAMA333yj\n",
"a/3geg6HIx3FISIiIuoWRbGgosKBDRusocAPAGRZwIYNVlRUOKAolgyWkIio+9IS/I0YMQIAUFNT\n",
"o2v9zZs3AwBGjx6djuIQERER6SaKItxuARs3Rg/uNm60wOMR2P2TiHqVtHxjBTN2vvvuu9i7d2/M\n",
"dbds2YL/+q//AoBQ4hciIiKiTBFFETU15rAWv85kWcD27WbdwR+TxhBRNkjLmL+SkhJs2rQJx44d\n",
"w8qVK/Hd734XV155JYYNGwabzQaXy4XGxkbs2rULn332GQDgkksuwZVXXpmO4hARERFlhCiKUBQL\n",
"nE4BNTVmAEBJiR92uwpR9HHMIBH1qLQEf5Ik4bHHHsPPf/5znDx5Evv27cO+ffuirj927Fj89Kc/\n",
"TUdRiIiIiLpFURSUlPghSWrU1j9JUlFa6o8ZvDFpDBFlm7T1OygoKMALL7yAGTNmRE3kcs4556C8\n",
"vBxPPvkk7HZ7uopCREREpJuiKLDbtQAtmtmzfbBa1ZiBG5PGEFG2EVRVVdN9EEVR8NVXX+HkyZPw\n",
"eDyw2+0oLCzEeeedl+5DG15zczMCgUCmi0FpJggCCgsLcfz4cfTArzRlGOvbWFjfmRFstauoiNZq\n",
"54KqRm+1E0URTqcVRUV5MVsPjxw5BYfj7H5Y38bC+jYOURRD09tlUsq6fSqKgoaGBgwaNAiDBg0K\n",
"WyaKIkaNGoVRo0aFfX7s2DG0tbVhzJgxHPxMREREWUNRFIiiF0uXqli0yIXt27XxeqWlfthsKlQ1\n",
"9ni97iSNKSuL3X2UiChVUhL8HThwAL/+9a9x8uRJzJs3r0vwF01tbS1++9vfoqCgAPfddx+KiopS\n",
"URwiIiKipGkBmQcOh4iyMn/oM+1fZstGRJSIpJvb9u/fjyVLluDkyZPd3jbYvN3U1ITnnnsOn3/+\n",
"ebLFISIiIkopRVEgyzJkWdbdQtcxaUw0epLGEBGlUlLBn6qqWLduHQBg0qRJePHFF3HFFVfo3v4H\n",
"P/gBnn/+eVxwwQXw+Xx47bXXkikOERERUVZIVdIYIqJUSir4++KLL9Dc3Ix+/frhkUcewXnnnQdB\n",
"iN63vTOTyYTvfOc7eOyxx2A2m/H3v/8d//jHP5IpEhEREVFWEEUtMUx5uTesBVCSVJSXe1FV5YLJ\n",
"FD04JCJKtaTG/H3xxRcAgEsvvRQWS+KpinNzc3HppZfir3/9K/72t78xCygRERH1eskmjSEiSrWk\n",
"gr/Tp08DgO4EL7EMGTIEANDW1pb0voiIiIiyAZPGEFE2SSr4M5lMAJCSeeSC3UU55QMRERH1NcGA\n",
"j4gok5KKtPLy8gAgJeP0gvsYMGBA0vsiIiIiIiKicEkFfxdeeCEA4NNPP02qu+a3336LgwcPhu2T\n",
"iIiIiIiIUiep4G/w4ME4//zz4fV6E56mIRAIYM2aNZBlGaNHj8bgwYOTKRIRERERERFFkPQAuzvv\n",
"vBMAsHfvXixduhQtLS26tz127BieeeaZUKvf7Nmzky0OERERERERRZBUwhcAKC4uRllZGaqrq/Hx\n",
"xx/j4YcfxoQJE3DZZZfh/PPPx6BBg+BwOKCqKlwuF06ePIkvvvgCf/3rX3Ho0CGoqjbvTVlZGYqL\n",
"i5M+ISIiIqK+RBTFUEI8Jo4homQkHfwBWuufKIp45513EAgEUFtbi9raWl3bCoKAW265BbNmzUpF\n",
"UYiIiIj6BFEUoSgWOJ0Camq0OQJLSvyw21WIIucIJKLuS0nwBwB33HEHxo0bhz/+8Y/47LPPdG1T\n",
"XFyMW2+9FUVFRakqBhEREVGvp7X0WVBZ6cDGjRbIsjYlliSpmD3bh6oqAaLoZQBIRN2SsuAPAMaN\n",
"G4dx48ahubkZhw8fxueff462tjY4nU4AQE5ODvLy8jB69GhcdNFFyM/PT+XhiYiIiHo9VVURCJhR\n",
"WenAhg3WsGWyLIQ+W7pUBeDJQAmJqLdKafAXNGTIEAwZMgRTp05Nx+6JiIiI+ixZluF2C9i40RJ1\n",
"nY0bLVi0yAWHQ2TrHxHplnS2TyIiIqKeJIoiJEmCJEmhRCh9iSzLqKkxh7p6Rl5HwPbt5j55/kSU\n",
"Pmlp+SMiIiJKtUwnQGHWTSLq7Rj8ERERUdYTRRGCYM1IApSeDjolSUJJiQeSpEZt/ZMkFaWlfgag\n",
"RNQtDP6IiIgo6ymKJSMJUDIRdEqSBLtd23/n8w2aPdsHq1Vl8EdE3cKO4kRERJTVRFHUlQDF4xFS\n",
"PgZOUSyoqNCCzo6tcMGgs6LCAUWJXq5ECIIAk8mPqioXysu9kCQ1tEySVJSXe1FV5YLJ5EvpcYmo\n",
"72PwR0RERFlNFMWMJEDJbNCpQFW9WLrUiSNHTuHVV9vx6qvtOHLkFJYudUJVOccfEXUfu30SERER\n",
"RdCdoLOsLPXj77T9eeBwiCgr84c+0/6l9FBEZBAM/oiIiCirKYqCkhK/YROgMLMoEaUKu30SERFR\n",
"VlMUJZQAJZp0JEDpGHRG05eDTiLqexj8ERERUdYTRV+PJ0DJVNBJRJQu7PZJREREWU9RFIiiF0uX\n",
"qli0yIXt27X59kpL/bDZVKhqeiZ514JOratp5KkeXGeOnfJDExGlHIM/IiIi6hUykQAlU0EnEVE6\n",
"MPhLwIkTJ3Do0CE4nU4MHToUl156KSRJ36X8+uuvUVdXB6/XixEjRqC4uDjl6aGJiIj6sp5OgMKs\n",
"m0TUVxg2+PP5fNiyZQvee+89tLa2YsqUKbj//vtjbiPLMtavX4/NmzeHfZ6Xl4f77rsPEyZMiLqt\n",
"y+XC2rVrsXfv3rDPCwoKMG/ePIwePTrxkyEiIqK0Y9ZNIurtDBn81dTUYOPGjWhra9O9jaIoWLVq\n",
"Ffbt24dRo0ZhxowZGDBgAOrq6vDBBx/ghRdeQEVFBSZOnNhlW5/PhyVLlqChoQEXX3wxrrvuOths\n",
"Nuzfvx9btmzB4sWL8fTTTzMAJCIiIiKitDFkf8Ndu3ahra0NxcXFKCkp0bXNli1bQoHfs88+i6uv\n",
"vhrFxcW44447UFFRAUVRsHr1apw+fbrLtr///e/R0NCACRMm4KmnnsLkyZMxYcIE3HPPPZg7KlxZ\n",
"aAAAIABJREFUdy48Hg9eeuklyLKc6lMlIiIiIiICYNDg78orr8SKFSvwxBNP4MILL4y7vizLeOut\n",
"twAA5eXlsFgsYcuLi4tx1VVXob29He+//37YslOnTmHTpk0QBAF33303BCF8ctqSkhKMGTMGTU1N\n",
"2LFjR5JnRkREREREFJkhg7/rrrsOw4YN073+gQMH0N7ejvz8fIwbNy7iOsEWxI8++ijs8z179kBR\n",
"FFx00UUoKCiIue3u3bt1l4mIiIiIiKg7DBn8dVd9fT0A4JJLLom6TlFREcxmM1paWtDS0hL6/PDh\n",
"w3G3LS4uBgD8/e9/50ByIiIiIiJKCwZ/Onz99dcAgJEjR0ZdR5IkFBYWhq2vd9tzzz0Xdrsdsizj\n",
"2LFjqSgyERERERFRGAZ/Opw6dQoAMGjQoJjr5efnA0BYFtHW1taEtyUiIiIiIkoVBn86eDweAIDN\n",
"Zou5XnC52+0OfRb8We+2wWMRERERERGlEoO/blBVVdfyjhk9gz/r3ZaIiIiIiCgdDDnJe3fZ7XYA\n",
"8VvlgsuD6wd/bm9vT2jbWPx+P/x+f8RlgiCE9iMIQpfpJajvCdYx69oYWN/Gwvo2Fta3sbC+jaNj\n",
"Hbvd7pgNP2azGWazOS3lYPCnQ15eHgCEZfGMJLh8wIABYdu2t7ejpaUFo0aN6ta2sbzzzjt4++23\n",
"Iy4755xzsGbNGgDA4MGDde2P+oZo04lQ38T6NhbWt7Gwvo2F9W0s8+fPx7fffht1+cyZM3H77ben\n",
"5dgM/nQYMWIEPv74YzQ2NkZdx+/3hzJ1jhgxIvT58OHDcfToUTQ2NuKyyy6LuO3JkyfhdrthsVhC\n",
"GUPjueWWWzBjxoyIyzq+WThx4gQCgYCufVLvJQgCCgoK0NTUxC7EBsD6NhbWd+8himLYcI9Epm9i\n",
"fRsL69s4RFHEkCFDAAArV66M2/KXLgz+dBg7diyqq6vxySefQFXViE3zn332GWRZxpAhQzBw4MCw\n",
"bffs2YODBw9i5syZEfd/4MABAMCYMWN0N/vrbQ5WVZVfJgbC+jYW1rexsL6zlyiKUBQL2tsF1NRo\n",
"f5tLSvyw21WIoi+hIJD1bSys776vY/3qHeaVDkz4okNxcTFyc3PxzTffoLa2NuI6W7ZsAQBcddVV\n",
"YZ9fccUVkCQJDQ0N+PLLL7tsp6oqtm3bFnFbIiIiym5aa58VlZU5KCrKw9y5/TB3bj8UFeWhsjIH\n",
"gmCFKPJxi4iyA7+NdBBFEbfddhsA4I033uiSvGXfvn2ora1Fv379unTF7N+/P2688UYAwLp167p0\n",
"wdy0aRMaGxsxdOhQTJkyJY1nQURERKmmKBZUVDiwYYMVsny2944sC9iwwYqKCgcUxZLBEhIRncVu\n",
"nzpNnz4dhw4dwr59+/DUU0/hpptuQm5uLurq6vDBBx/AZDLhgQceQE5OTpdtb7vtNtTX16Ourg7P\n",
"PPMMbrjhBlitVuzfvx9bt26FzWbDQw89BJPJlIEzIyIiokSIoginU8DGjdGDu40bLVi0yAWHQ0yo\n",
"+ycRUSox+NNJEAQ88sgjWL9+PTZv3ozVq1eHluXl5eG+++7DhAkTIm5rsViwcOFCrF27Fnv37kV9\n",
"fX1oWUFBAebNm4fRo0en/RyIiIgodURRRE2NOazFrzNZFrB9uxllZX4Gf0SUcYYP/qZOnYqpU6fq\n",
"WleSJNxzzz246aabcPDgQbhcLhQUFGDixImQpNiX0uFwYP78+Th69Cjq6urg9XoxfPhwjB8/nnO7\n",
"EBEREfUgURRDYzEVRWFgToZh+OAvEfn5+Zg2bVpC2w4bNgzDhg1LcYmIiIiopymKgpISPyRJjdr6\n",
"J0kqSkvZ6pctgplZnc7UZWYl6k0Y/BERERElQFEU2O0qZs/2YcMGa8R1Zs/2wWpNbM4/Sq2zmVkd\n",
"2LjREgrYJUmrw6oqAaLoTWtddW5x5PQO1NMY/BERERElSBS1oAFAlIDCBVX1gbFf5imKBZWVji6B\n",
"ejAzKwAsXaoC8ETYOjmxWhz9fn/Kj0cUjaDylUOf1tzc3GV6Cep7BEFAYWEhjh8/zreIBsD6NhbW\n",
"d/YLPth7PFpyFwAoLfXDZut+V0LWd3pomVmtKCrKi9lF98iRU3A4Utv6F2xxrKiI3OK4fLn2goDP\n",
"a32bKIooKCjIdDHY8kdERESUDC1Q8MDhEFFW5g99pv1Lfv9MTpK8TGZm1d/iyOCP0o+TvBMRERGl\n",
"gKIokGUZsiynJHjQAj4bnE4rqqsdqK52wOm0ArCFgkHKbqIowu2OPxekxyOwTqlHsOWPiIiIKMto\n",
"gYAlo8lJ+pJMZWblXJCUbfiKgYiIiCiLqKqKQMCMigqtq2DHwCHYVbCiwgFFid6aROE6ZmaNhplZ\n",
"yQgY/BERERFlEVmW2VUwDbTMrC6Ul3shSWeT6UiSivJyL6qqXDCZogeHiejY4hgN54KknsRvDCIi\n",
"IqIsIsuy7q6CDP700+bV82LpUieOHDmFV19tx6uvtuPIkVNYutQJVU19N1q2OFK24Zg/IiIiIjKE\n",
"dGdmjSTeXJDaVA9+cKYH6gkM/oiIiIiyiCRJKCnx9HhyEiPpySkzFEWBKHqxdKmKRYtcXeaCHDiw\n",
"P1paWnqkLETsK0BERESURSRJYlfBPuZsi6MXZWUulJW54HB4IQhemM3mTBePDIQtf0RERERZRBAE\n",
"mEx+VFW5AETuKlhV5YKq+tLWVZHSo3OLoyBEH9dJlA4M/oiIiIiyjKIoEIToXQVFMQBVFUPrEhHp\n",
"weCPiIiIKAt1Tk4iCAICAROcTgEffGAHAJSU+GG3qxBFH4NAIoqLwR8RERFRFgsGdYJgxaOPOqJ0\n",
"AxUgiqmfqoCI+hYGf0RERERZTlEsqKx0YMMGa9jnsiyEPlu6VAXgyUDpiKi3YLZPIiIioiwmiiLc\n",
"bgEbN1qirrNxowUej8BJ34koJn5DEBEREWUxURRRU2OOOucfoLUAbt9u7lbwJ4oiJEmCJEkMGokM\n",
"gt0+iYiIiAxEFEUoigVOp4CaGi2LKBPHEBkDgz8iIiKiLKYoCkpK/JAkNWrrnySpKC31xw3cRFGE\n",
"IFhRWcnEMURGxDZ+IiKibmJ3OepJiqLAbteCs2hmz/bBalXjBm2KYkFFhZY4pmMgGUwcU1HhgKJE\n",
"H1tIRL0b/2IRERHppAV6NjidVlRXO1Bd7YDTaQVgYxDYw4wWgIuiD1VVLpSXeyFJauhzSVJRXu5F\n",
"VZULJlP04FDbBxPHEBkdu30SERHpwO5y2cGo49UURYEoerF0qYpFi1zYvl0799JSP2w2Faoa/9y7\n",
"kzimrCx+F1Ii6n0Y/BEREenAedYyz+gBuHZeHjgcIsrK/KHPtH+ZLRsR9Q5s0yciIoqD3eWyA8er\n",
"aRRFgSzLkGW5W4Fux8Qx0ehNHENEvRP/QhEREcWRrnnWSD8G4MnTmzjGZoufOIaIeid+OxIREVHW\n",
"YwCeGvESxyxb5jpzjZnEiKgv4pg/IiKiOFI5zxpRJkVKHBMIAFOmyPB6Bfz4x/3w4YeSIcZQEhkR\n",
"X+kQERHFkcp51igxHK+WOmcTx6hwOIDPPzfh4YdzMGlSLrZvNxtuDCWRkTD4IyIi0iEV86xR4hiA\n",
"p5YoinA6BcyZk4OqKju2bTNDUcJbtTmGkqjvYbdPIiIiHVIxzxolRwvAtQAl8lQPrjP1kMlS9g6c\n",
"84/ImBj8ERER6cR51jKLATgRUXIY/BEREXVTMOCjnscAPDWYxIjImNiJm4iIiHqdRCc6Jw3HUOon\n",
"iiIkSYIkSRz/SL0eW/6IiIiIDIhjKGMTRRGKYoHTKaCmRutiXFLih92uQhTZxZh6JwZ/RERERAbE\n",
"MZTRiaIIQbCistIRJTDmHIjUOzH4IyIiIjIojqGMTFEsqKx0YMMGa9jnwTkQAWDpUhWAJwOlI0oc\n",
"Oy4TEZFhcOwO6WW0e4VjKM8SRRFut4CNG6NPcM85EKm34h1LRER9nvaAZoPTaUV1tQPV1Q44nVYA\n",
"Nj68URjeK6nVG4Po7syB2FvOiSiI3T6JiKhP49gd0ov3SuowWQpRdmLwR0REfRrH7pBevFdSo7cH\n",
"0ZwDkfoytlUTEVGfxbE7pBfvldRRFAsqKrQgumPwFAyiKyocUJTo1znTOAci9WX89uphJ06cwLZt\n",
"21BdXY19+/ZBluVMF4mIqM/i2B3Si/dKavSVIFqbA9GF8nIvJEkNfS5JKsrLvaiqcsFkih4cEmUr\n",
"dvvspkWLFuHw4cNRl0uShN/97nddPpdlGevXr8fmzZvDPs/Ly8N9992HCRMmpLysRERERD2pO0F0\n",
"WVn2dpvkHIjUVzH4S1BRURHMZnOXzyWp6yVVFAWrVq3Cvn37MGrUKMyYMQMDBgxAXV0dPvjgA7zw\n",
"wguoqKjAxIkTe6LoRESGwbE7pBfvFeqMcyBSX8TgL0EPPfQQBg0apGvdLVu2hAK/Z599FhaL1hWi\n",
"uLgYY8eOxXPPPYfVq1dj1apV6N+/fzqLTURkKB3H7nRO4hHEsTsE8F5Jlb4YRAcDPqK+IHs7W/cR\n",
"sizjrbfeAgCUl5eHAr+g4uJiXHXVVWhvb8f777+fiSISEfWonp73K9vG7vTGec+MItvuld6IyVK6\n",
"T1VVfi9Qj2HLX5odOHAA7e3tyM/Px7hx4yKuU1JSgo8++ggfffQR7rzzzh4uIRFRz8jUvF/ZMnaH\n",
"855lv2y5V1JNFMVQQNETrVhaEK21+kWe6sF15lqmtRi9giiKaG5ug9Np4fcC9QgGf2lWX18PALjk\n",
"kkuirhMcP9jS0oKWlhbd3UmJiHqLTM/7lemxO5k+f9Iv0/dKKhn9hUu20wJyCx591MbvBeoxDP4S\n",
"pKpq/JUAfP311wCAkSNHRl1HkiQUFhbiq6++wtGjRxn8EVGfk8nJszu3emRiih1OHt779KZxXpFa\n",
"9jL9wqEvBdHpwu8FygR2Kk7Qgw8+iLvuugsPPvggli9fjl27diEQCHRZ79SpUwAQN6DLz88HALS2\n",
"tqa+sEREGZSpeb+0fdngdFpRXe1AdbUDTqcVgK1Hx9T0lXnPKPvEusezZaL14AsXWZZ7TTDdE/i9\n",
"QJnCu6mbRo8ejUsuuQRFRUXIz8/HqVOnsG/fPqxevRoLFy4MBXtBHo/2tsZms8Xcb3C52+1OT8GJ\n",
"iDIkE5Nnn231yEFRUR7mzu2HuXP7oagoD5WVORAEa489UHHycEqHWPf4+vU2uN0iA4ssxu8FyhR2\n",
"++ymu+66K+z/siyjtrYW69evx5dffokXX3wRzzzzTJft4nUTDS4XhOhfAkREpA+7U1Ff1/EeF0UV\n",
"06b5MXGi1qV54EAF27aZev1E60SUegz+kiRJEr73ve9h+PDh+NnPfoYjR46gvr4eRUVFAAC73Q7g\n",
"bAtgNMHlwfXj8fv98Pv9EZcJghDajyAIDCgNIFjHrGtj6G31raqq7nm/VFVN+rxEUUR7e/zuVIsW\n",
"uZCTY0r7g2+y59/b6puSo6e+O97jpaV+LF/ugtmsYudOLbHK1KkyzGYtwUow2YqeY1LP6envRcq8\n",
"jnXodrtjNgyZzWaYzfF/dxPB4C9Fhg4diokTJ2Lfvn04fPhwKPjLy8sDALS0tMTcPrh8wIABuo73\n",
"zjvv4O2334647JxzzsGaNWsAAIMHD9a1P+obCgoKMl0E6kG9pb5VVYWqtsWdPNvhEDF48OCkH3Lc\n",
"bjfee0/R0ephwY9/bNP90i1RqTr/3lLflBqx6jt4j0+ZImPdunY8/njkpC7r1rVjzpx+EQNASVIx\n",
"bZqMgQMHpu0hk6Lr6e9Fyi7z58/Ht99+G3X5zJkzcfvtt6fl2Az+Umjo0KEAgNOnT4c+GzFiBD7+\n",
"+GM0NjZG3c7v9+PYsWOh9fW45ZZbMGPGjIjLOn5BnDhxImIiGupbBEFAQUEBmpqadGeipd6rN9a3\n",
"KIqoqtJa2KLN+wX40NTkSvpYJpMJgEPHmipOnz7dZax2OiRz/r2xvjNJGwunXV9V7X0Tieupb+0e\n",
"t2P5chcefzx29+bly12YNCkXihIePMye7YPFosR9OU3p05Pfi5R5oihiyJAhAICVK1fGbflLFwZ/\n",
"KRTsuulwnH3oGDt2LKqrq/HJJ59Ebbb/7LPPIMsyhgwZgoEDB+o6lt7mYO3NEh8WjIL1bSy9qb4D\n",
"gUCPzfulKIru7lSKovTINUzF+fem+u6sJyYZD85p194ef067np70PBGx6ltRFFx/vayre/MTT7gx\n",
"fbofmzdr63WdaD2xe6o3XMNsFwgEYDL5sGyZyPkQDaDj73O6e5zEwuCvG44dOwZZljF06FBIUtdL\n",
"9+mnnwLQMoIGFRcXIzc3F9988w1qa2tx2WWXddluy5YtAICrrroqTSUnIsq8npr3S1EU2O1q3O5U\n",
"VmvPtgolc/6qqoa1aPWWh+10TzIeDEAEQYCqSnjsMTveeMMadU47ABmZ9DzVFEWBzabiT3+Kny1y\n",
"1y4Jr7/uxAcf+AAkH1hkauL4vkpRFBQU5OLEiROcD5F6BIO/bnjllVfQ0NCAhx9+uEugVlNTg3/8\n",
"4x/Iy8vD+PHjQ5+LoojbbrsNr732Gt544w2MGzcubNqHffv2oba2Fv369YvajZOIiCKL1vogitoD\n",
"PxC9O5X28NvzZe5u4CaKIpqb2+B0WnrVw3Y6JxmPFIBcfbWM+fO9+Mc/TKEWlI7dH5ct03rfZGrS\n",
"81QThABMJn3rms1ySgKLTE8c31cJgtBjvRCIGPx1w4033oiGhgasWbMG//u//4uxY8fCZDJh//79\n",
"2Lp1KwDgJz/5yZm++GdNnz4dhw4dwr59+/DUU0/hpptuQm5uLurq6vDBBx/AZDLhgQceQE5OTiZO\n",
"i4ioR6SyxUDPvnqqm2k6aYGtBY8+aut1D9vpmm4jXgASKcnJm2+asWSJgIUL+870H4FAQHf35kAg\n",
"kJJ7hFOoEPV+gsrXDN2ybds2rF+/Hl6vN+xzu92O8vJylJaWRtxOlmWsX78emzdvDvs8Ly8P9913\n",
"HyZMmJCW8jY3NzPhiwEIgoDCwkIcP36cbw4NoDfWd/CBvaIiWouBC6qqL4jp7r5699gkGyorc6J2\n",
"Xy0v92LpUicSedhO53URRRFOpxVFRXkxA5MjR07B4ehu8Br/mixY4AlLcjJtmh+rVztx8cUD0lCe\n",
"1Ore73f8a7FkiROCkHwwlt46Na7e+H1OiRFFMSuyNrPlr5umTZuGK6+8EocOHcKJEycAaNMpFBcX\n",
"hyV66UySJNxzzz246aabcPDgQbhcLhQUFGDixIkRxw8SEfUlqWgxCAYrsmzu1r56X8Cn0R629c1X\n",
"6HCIus+xJ8ZsiaKImpr449G6O8m43mtSWelGSYmMbdu085s4UcaOHVKfm/Q8Fd2b9b4ESFedElHP\n",
"YtSRAIfDgcmTJye0bX5+PqZNm5biEhERdV9PtYglG8R0DFbq6ky48EIl5QFRNkrHw3Y2jtkK3od6\n",
"y6/nmuzeLeHWW32h4E8UtX99TTLdm5m4hciY+uBXIRERxaIFfDY4nVZUVztQXe2A02kFYAsFg6k+\n",
"nt4gpvPxzwYrOSgqysPu3WZs3ZrYvtJBFEVIkgRJknrkeNHonQBaUSyoqNBaTTtew2CraUWFA4rS\n",
"NbDu7nl2nG4jGklSMXWqjD17LCm//xQFuOUWH0pLtSQnAwaoKCmR45YnOP1Hb3I2i6wXZWUulJW5\n",
"4HB4AXhiBn4df6/mzu2HuXP7oagoD5WVORAEa5e60FunvfEaEhkJgz8iIgNJ5KEvk6IFK5nWEwG0\n",
"3ofta66REQjET/soiiLc7vgtsB6PEDqHRM+z43Qb0cye7UN7u4Cbb+6v+/7rzjX5v//XiuXLXbjr\n",
"Lg/uvtsLu12JW56env4jlRRFgSzLkGU57jkk8hJAb5325mtIZATZ8xeeiIjSLtGWn+SOqb/FQPtZ\n",
"Cv3rHKzs3y9h6tSebX3o3OrVUwG03odtl0uAyyXEPabJZOpWC2yy56mNR3OhvNwbVl+SpKK83Ivn\n",
"n3edud8E3fef3mvi9Qp4+mkb+vdX8cILWgKgeOWpqnLBZIq+374ikZcAZ7eNfw0lyZ8VreFEFBl/\n",
"K4mIDCKZh75k6HlgX7zYDZsNOH3aHGphOn3aAkEQMGWKHFqvpkaC3y/0SOtDtFYvRbHitdesPRJA\n",
"m80BLFsWP4DS081VVU3oTvLnZF8UaPOWadlIjxw5hVdfbcerr7bj0KFWLFjg6TIdA6Dv/tMbVPp8\n",
"ImpqJIiiHBrTGqk8R46cwrJlToiiHDYOtq9Kpht2rGu4dKkTqqqivd3SI93JiSgxTPhCRGQQmczW\n",
"Fysr4eLFbtx7rzfq1A0d521TFAE/+5kD69a1R9xXqiZwj5cY5fnnXaipMXcJXoJlSlXCGVVV8de/\n",
"mrBggQeVlW7s2KEd79pr/fD5hNB1mTXLA0EQQtmjOyfwEUURHo+Aa66Rdc0LB0DXi4J453l2PJqI\n",
"W24JoL7ejIcfzkFNjRSahqEjPfefoigwm2UsXuyOeU3ilaeszA9BEOD3m84kPbEDYNKTeDpfwyBV\n",
"NceYfiV756MkMhoGf0RElHaxsxIi1MLUUcepG5Yvd4Xmbdu+3Yw5c/ph+XIXFi50Y/duqcO+UjOB\n",
"u56pKTqWqfM6qQqgFUXBxRcHMHbsAFxzTQCXXqq1gs6bdzaAmj7dhxtvlNHWJsWY8F7E5s0Svvtd\n",
"bdxbtHnhZs/2wWbTfk7li4JgMHr4sCmUgTMZ2qTlEhYsyEFxsdac2fGaALG7/wY/y7bMpz2hYzfs\n",
"eC8BYp17+AsGGyd/J+olGPwRERlEqh76kjl+pBaD06fN3Z63bft2MyZNysVzz7lx990eCMLZrn3J\n",
"Fr3j1BSiqGWJnDhRC7oOHDBBVYHzzlNwzjkKfvpTD1assEVsxUq2DMGucjk5Ku64w4f1621dAqfS\n",
"Uj/WrXPGDWA08VtNly1zQZICSV/DSFJ5/wW7Eg8erKKqyh5xnXjdf1Mx92Rv1LEbdqyXAHq7Tqdr\n",
"PkoiSg92wiYiMohsydbXMSshoK+FadcuCZMmnR37J0kqfvQjH+6+2wtV9UXNcJjIVAzB7rFTpsio\n",
"rW3DqlVOjBihYNSoAFavduH115347ndlbNpkxr33elFb2xbqKhksW6IBdORxhgKWLHHjuedcYWPc\n",
"LBYFq1c7QwFMrHF5wcDrww8lzJnTDwsWeHDwYCteftmJl1924uBBbRyexwO4XCbIsoTrr09tYp1U\n",
"33/JJHDJxPjXbJkWRCtL6pLfJDOGMNY+s+VaEfU1bPkjIjKQWGPvUjVeLh1MJuDhhz34zne0Ln7x\n",
"ungmO4H1kCEK1q1rx+OPRx/zN2dOPzz4YE6XcYl33uk9c5yzk5enZgJ2F378Yy82b9bO5/rr/fD7\n",
"9ba4IKy1Z9KkXJSUyGHdSIcODeCRR7yYPLk/Zs3yo6rKhcWL3XjiCUfEfSfyokDP/Qf4IQiRxy52\n",
"lOwE56ke/3o2Q6q2T1U9e22ybTL1ZK5dOnHieaL0Y/BHRGQgPfXQ17HbYrwH+M5dATt3tTx40ITS\n",
"Uj8kyR/qLhqti6coijCZTFAUKeGxXIqiYNKkABYu1Dfmr+P/N22S8JOfaNMv1NRoQZPeh1d93RCd\n",
"KCtzAdAmdt+82a47gAHCA69t28zYts0cui7PPefGnDn94POJHY7nwpEjIt54w5qSFwXR7r+pU2VY\n",
"LCoUBXC5rKipkXRdu0hdiVPV/VevYMDi82lTVsgy8OGHHcsPrFtnxdNP27t9L6ZTqq5dqrrzxn/5\n",
"0TfHYBL1NEFV1eh9OqjXa25uRqA7ub2pVxIEAYWFhTh+/Dj4K933paq+9QZo3d2noljgdnfnzb0N\n",
"lZU52LDBitJSP5Yvd8FsVrFz59nANDdXjfng1/G4giBg0SJ71PFM5eVaqvpoY7m0MUw2FBUNiPkw\n",
"e/BgK+bNywkFUEeOtKJfPxU/+1n0ljtVjXwO2jGtKCrKi3nMI0dOweHQ9iFJEqqrHZg7t1/E9YNe\n",
"fbUdZWUuyLIcuk4ejxYU+nzAtdfK8Pm08YAds2SePZ4Kl0vo8qIgmZYY7d6zYutWMz75RJuCYt48\n",
"T9SW1ljXLtHjd/d6R9uPIGhTf9x1lzduS3HnLKSR7sXe+X1+9nc4kvJyL5YscUIQYo2fjL+PWL+3\n",
"vVXvrG9KhCiKKCgoyHQx2PJHRJSodARPPSmVZU6mxS3YFbCoKBDzAbqqClG2P9ticOKEgBUrXEkl\n",
"n9C6BEpxW9R27DDj0ku1JDRaC5sEhwMJJRBJpBtioi0ukiQjN1fERReJeO89C+bNs0aceuHs8Vxw\n",
"OJSUtqwpigWPPqq1coqiitraNjz+eM8lX0lV0hNFsWDhQjvmz/fGLX+k7LB6EqH0hu+ZZLuTM2kM\n",
"Uc/hKFoiom6KNvl3dycz7gtJDTpei9OnzQlNCh6cOHrOnLMP0N3b/uxk5OPHB7BzZ2qTT0RjMqkY\n",
"PVqBKJ59W//JJ6ao62sJRESYzckfG+heAhXN2Xu2vt6Mw4dNqKqyY9s2c8xspcGyBpP0JPvg3TnZ\n",
"SkmJDLNZ7dHkK1o5kkt6EjyP5mZRV/ktFq07c0cd78Xg94HJZILf70/Z90xPiD/5e+xW23QkjSGi\n",
"yNjyR0TUDakYl9Lbkxp0TGyhqhIee8yO5mYxqRa3RN/869muu/S3qMkQBBW1tTIefdSOqVNl/L//\n",
"F7kVCdAeXrdulXDxxQIKC5Ww+k60FU9vAhUg/J6dNs2Pl15yxj3e1Kky9uyxYOxYU8ruz84P+hMn\n",
"yroD9mDrYypawpId/xo8D70vHDq2FHclhX0fXH99O6xWS9Lj33qq1TB4HFGU0a8fMjb+kojiY/BH\n",
"RNQNyc4N1puTGkQKWq++Wsb8+V7s3Wvq1gN81/OTsHVr/K6W27ebcfPNcljw1zGQ2L9fwl13xQ9q\n",
"YiWf0NslsL1dwOTJuZg1S5trT5YRSlQS6xzee8+ClSttXeo7kW6I+gKYrvdsTY0En0/QdY4339wf\n",
"ooiM359DhiiQZTPcbqTspUmmE8YEXyK8/roNTz2lJYQJdoN98UVbUt8zPfGCKVXHyfRd7qTNAAAg\n",
"AElEQVQcpERGwuCPiEinVIxL6a0TS8cLWl94wYU9exL7kyKKIvx+AXpyU2nrSBDFQMTrW1Mjwe+P\n",
"H9TEG8sVr0UtmMCjY2bMJUu0efh8vugPr9de68e8eTkR6zvRcVOxAhgg8nx2ihJ/wvfgOSqKAEVB\n",
"yu7Pjg/6igKoKjBtWuwH/+nTffje9wKoqEjPS5NEWsWC5/GHP1hw113euIFLsO47mj3bB58PeOIJ\n",
"e6jrrd5usLFa0XviBVMqj5OqMZhEFB87ThMR6WQymZIal5KJiaVTpeO4ukjj8R57zIHLL5dhsUR/\n",
"MIv25l4URezfb8LUqXLcScWvuUbGa69ZQ2P/OgYS2v+1oOb555ObwDrSGKaXX24PTYbeOXPjxo0W\n",
"eL0CFi+OHhTNnu2D1yuEtQ52rO9Y46aWLfMAiDdVhNJlXF6ssVTbt5tDE77X1bWGjnfoUORz7Fze\n",
"RAUf9BcvdqO2tg0/+YkHZjOijl0URRW/+IUrofGk6RQ8jyFDlNALh2g6133He/Hhhx1hYy670w02\n",
"Uj3E+11N1bVK9XFSOfE8EUWXXU8XRERZSnvIknS1TsXaR29MaqA3aNUT/ER/c6/CYokeAAS393oF\n",
"PP20LSxgsttV3HmnF9Om+fHoo25MmiRj1SobFizw4ODBVrzySveSTwQFW9T695dx0UUBfPmlCfPm\n",
"5WDSpNwuQVEw2+e993qjPrw+/7zrzAOx0Gm7s/V9thXPi7IyF8rKXMjJ8WHIkNy0tHhs327GpEm5\n",
"qK8X8X/+jxcXXRTAww9HPsdI5U2UyeTHvfd68eKLNkyYkIe5c3OiBuzPPeeGJCErX5qIog/Llrnx\n",
"pz+Z475wOPdcBWvWODvciy785S8mbN2auqC1p14wpeM4ySaNoczqCwnMjILdPomIdFAUC9ats+Km\n",
"m3x9blxKvKQQels8t2yRcPfdXtTVmXR3WxRFEbIsYexYFQcPili2TJvAPF5Xy45j/0wmP5YscaOt\n",
"TQvAAAFTp/rh9wP795tw661+ADICgUBCY7lUVcU//ylAEBCaeD7S1AhnrgSWLnWGxt8pijYu0ucT\n",
"IrakRdOxHgRBm7swEYqi4Prr/aisdENRtDGRncsuisDFF2vX5vBhU5SEJKkVCJjDuj8HWyGXL3eh\n",
"stKNXbskiCLwL/8iw24HNm/WNx408njS2KLd/3qSpQTHXM6Zo30nLF7sxlNPubFzp/Z41XHspcUS\n",
"nghFFEU0N3e91vrHrcoQhLMvQYJl7u6UIYlI13EyPQaTuq+3JzAzIgZ/RERxBMf6Pf20DTfc4E94\n",
"XEq2JTXQ+0dbVU26WjwVRcA771iwYIEn9ABvMkXPnhhpzNArr7Rj0SI3Kivd2LFDK9O11/q7BE+K\n",
"Avh8Wlp8QIgx7sgFRfEhkGCT7dngVMFXXwUACLjrLif8/vBJ0YP1ph3HD4dDxM03y/D5JNx7bw62\n",
"bo08nUI66ztYv36/gJEjAwgEIpc9eM8GAoEeuT+jjZ0NtkKWlMiYNEnG/fd78PLLNogiMHx4Ek3u\n",
"McoR/f6H7ofZYMBisZzNgnvzzX6oqtolcOm8baTrrXfcKgC8+64NJSVyqGx9RbbOZ0jhenMCMyNj\n",
"8EdEFEfwLbfPJ8ZMknHnnV5UVbkhCAGoavjXa/BhJtVJDRJN5R78o71+vRWtrUKoVejBBx2YNcsf\n",
"+qMNAB6PgGuu8eP6630YP157CO/cgtQxocW8eXYsXuzBPfd4IQgqAgEfIr25j5T85g9/sOLqq/34\n",
"6U9zUFysHWvevJwux7r6ahn/+q8OrFzpxnPP2XUk0NEfPHScyiLWpPXr1rWHAtLO9RasC0EwYfBg\n",
"NUorYfqSWMR7KNuwoR3vv2/Gt9+KuPtubygwz8lR8ZvfOHHokAhFESCKWkKWYH0nU96z0wGIqKsz\n",
"RWzJURQB27aZsW2bGSNGBPCd72gB9w03+PH++76UBdHxrs/SpS7cd19OqEumnofZ7gYs0b4PupOM\n",
"Z/t2c1jZVNUXFlCKoja3YLDFev9+Cbt2mZIO4LPtRRZlRm9NYGZ0gqqq0UfXU6/X3Nyc8Btv6j0E\n",
"QUBhYSGOHz8O/kqnniRJqK52YO7cfgC0lqzly12wWNRQ69QNN/hgs2mBUjCpQ0mJDEEAPv1UxMUX\n",
"B2C3qzCZ/AAsMbIWuuKObREEAYMGDcLJk6fhdifW1UYUbWhtFSHLwM6d2vZaV0ntwXPoUAVLlzoh\n",
"STKOHLHg/PNVtLcLodaijutu325GebkXP/+5C42NAkaNUuFyCZg3z45XXnHB4eh6PlrrjxVFRXlh\n",
"D4+x0twHlZd7MX++B489ZsfKlS5MmDAg5gPokSOt6NfPB1mWI67TsUyKYjlzTSWUlgawaFHXwLJj\n",
"ORYs8GDlSiuWLXNHrLdgkJFsfXf/99uGysqcmGVfvNgNRVFD92UgYIbbLeCzz0wYN04L1mtqtHGu\n",
"U6bIMJmAgQNVKErk8zSZTGfmflRDXWwjXdeCAhWXXhqA3y/gl7+04sUXbV0CutJSP1591Qm/H9i2\n",
"TYLZDFxzjQyPJ7zVsuP5LFnihCDofciMf30WLPBg0qTcsLKVl2tj0iI9zCbyIqbz/aEo2vfGZZfJ\n",
"uPZaP4qLA3C5EDrfa66R4XZHvwZa2YDKyhwcOyZi+XIXzGY17HdckoDcXAWqmuwDefxr2L06Mabe\n",
"+vc72nd4R9r376mIfwOMSBRFFBQUZLoYDP76OgZ/xtBb/3j0pGQmO470Ry74Rv3SS2WMHh3AD3/o\n",
"j9qK8PzzLtxzTw4KCtQzk277EAiY4fEIXeZl0xO4aQ/ZFvzsZ4kFFFpXyegBaLC8v/61ExYLIAiI\n",
"ue769Vbce68XXi+webMZgYA2zs3vF/DVVwImT/Z0Cbw6B9SiqLUS3HqrD2PHBnDhhQpef92Kp5+2\n",
"wecTw475wgsurFhhgySpGD5cxYMP5kRs4Qi2Fq5Z044ZM/wQhLPXt/P9ACDsIXzqVBmrVjnjBpb1\n",
"9a3IyVEQKxNnMPjpbn13LOPAgQPR0tKi6/db70OZlrnUgcGDtfvytdes2LlTwuuvO/H44/ruLa18\n",
"FgQCApxOATt2aGP1tK6IStjLjqYmAcuWuc8EI1qX4OnTZXi9wMMP54Rdm3Xr2qOWIXKrV/wgOpHr\n",
"M29eTtgYyEgPs+HBbSIvYrTtZVk48w/48EMpbD8WiwKv1xS3C/GRI6fQr58fgBmyjJjdoZNNoJKK\n",
"FxvUe/9+d/4Oj+bVV9tRVuaK+/LNCLIl+GO3TyLq01IxGD1S96xg97SaGgm1tW1xu74sW+bGpEm5\n",
"AM52g0k0qUHnZBmRjherq00gEL+rzqpVLlgsQGuroKNbpQuvv27Bf/yHo8sD4LJlrrjJSkpL/Xj5\n",
"ZSf69dNaDHfskFBfb8Jtt/lQXu7F//yPCc3N4pkEF8CePVpiGYsF+OQTU6gltmMLR8exbbIs4Be/\n",
"sJ1pCRGgKGqE+wFh10Rvuv2aGgk33+yG3x97Cobu1Heke7a01Ambzao7mNCTjGPHDjOKiwOoqrID\n",
"ABYscOPGG/14/HF995YWnFohy8DChdEDgNdes+LYMTFmQBfsQrtjh4Tly11xy/CrXzmxbZsJpaVy\n",
"xPGkqbo+l14qhwV/nZOYpGLMk7YfH6xWK5580h71OtbWmrB5c/Tsmh3LJstqxFa5VHbHCya7WbpU\n",
"DSU4AqKP8SWi7MDgj4j6rFQORo82Aff06dqDTryU55WVbpSUyHjzTTN+/nMBdrs5LCGEXpKkJYM4\n",
"7zwF06b5I2adjDcBtJ6J6p9+2o3t2yVMmBCIu+4TT7hRU6N1WZs2zR/W+vbYY3YsWeIC4O+ybUmJ\n",
"jOnTffjNb5xQ1a6tFBaLgsWLPbj3Xi+amhT86lcWrFhhgyyLoTpcvtyFyZPbY47L83qBf//3flBV\n",
"nGkNycGbb5pxzTWBUFlLS/14883YWS4jtS4qiopok85Ham2OVNcd19MCZQk1NWasX28JtfKkO4GC\n",
"Vucu+P3xp1Q4e29ZdL0c0IJKX9yAbvlyFxYutOn6fVq0yI2bb/YknME1VVI15knPfhYvdkMUo48f\n",
"DRIEQdc0DNG+I7qD2TmNi+M+ey9OxEFEfULHOYbMZjMsFgsUxZqySYijzUH1+utO/Pd/x09Dv2OH\n",
"Gbfe6sNf/nIaHo+Ad9+1o7raAafTCsAWc14kURRhNpshSTZ4PGZ88IGEYcMUrFrlRG1tG0pL/WfW\n",
"UzFtmh8LFnhw7Jg2Bqvz3Etaq0f88tbUSMjNhe7Wr1tv9aK2tg2rVjkxYkQAo0YF8PLLTjz5pAeq\n",
"2nWuL1mWIMsqfvELJ9rahNCDb/BYpaV+/OUvp3HTTT784Q9m7Nkjobzch337TqO01A9ZFvC731nw\n",
"z3923TZYrg0brHj8cQcsFmDXLvHMNAIOHDsm4i9/OY1Vq5wYNSoAVdVacj/+uA3TpmkZE/fvl86M\n",
"j1JD5Tl7fgpGjFDw0ktO/OAHMrZsMYfdR9q52uB0WlFd7ehSz8E6MZvNofX27rWhvd2CtjYz3n3X\n",
"jNZWYMUKV6h+u3PPdnwoiyaYoOfjj6XQ9Tp61ISdO/VNqSD9f/bOOzCqKn3/zy3Tk1BECIis4ipd\n",
"EFZdFGlJwAWXIm0VCQF3XZWepQliyHc1hIRelIWlWvEnIFgQktBkFXalqIjiKiIoIIuUkOm3/P44\n",
"3MlM5s7MTUhCmffzF+S2c8+59855z/u+zyuy/WQ5trFoswEJCbENOodDxcqVLkPvU1GRGFg8KS8V\n",
"6Z/gv2uT2cqqdWf0PIrCFpuitVn7FlR3PVFFUSBJEiRJool+nBAcEROJqhK0Iq4M8vwRBHHNUZ78\n",
"PP2wTgkOBxMoqczVb71Vbo7j0KwZj40bLwEAdu8WMXeuBYrChXiJbrlFRvv2cpT8mHCPTtl7k2Um\n",
"+HDffQrGj7di7Fh7wLs1b54VTzzhC4Q+/vorB59PhMdjChKgYeGN9erpeZ9CvVp16yowmn5yyy0K\n",
"7rtPxsSJ0XJ/LIH707yPy5dbMHKkFyUloQZErJwvLUSQ45gSpRHP5JgxrG9On+awalUJXnstVOV0\n",
"1Cimcvraa07k58uYO9cKjmOTl1ghizk5LkgSB7NZ897pe5uzs93IyODgdgNffSXgvvtkTJ7McuGi\n",
"5dmtWlWC+fNZyQOex+VrWcHzUuAZBBDiSTaiKuv1looTlRdFEfDjjzy++MLIwoeIZs2UmPvt2CGi\n",
"b18PgKqtM3gl/RM8mRVFsVJq3RkNQ922TURmpidizp/Wtuspb4y4vokUEROttitx9SHjjyCIa4by\n",
"5udFC+tcvdoJpxNVUuxYm2ALggBJMqF+fRVffcWu89RTXowe7YHPB7jd3OUcNBWtWikoKeFw8iSv\n",
"66ECQsPDYoWsagZQcN7dc8/Z8MYbFnTqJGHVqpKoeVhpab6AjH14zpwaUHts3lyGKNoj9qPZrKBt\n",
"W2b4RQtZmzrVjZo1mQEoCAJOneLRoYMcZkDwvBox50tRgFOneOzaZcKyZawcwccfCzHHuLDQhA4d\n",
"JOzcKWLBAhecTg5//KNPNz9wwgQ7cnNd4DgVtWqpyM114dIlLmbIIgvJYzUB9cL3OnWSkJ7uxeTJ\n",
"dqxda8LevZcwcaIdr79uxr59xZg61YZTp3hkZrLx1wRrTp5khvJf/+rFli2sgL3Hw0EUWe6n16sv\n",
"EGIyccjNdQHQn5Tl5rqQnp6A4PIZDRvKSE5WYoZxdewoQVUBhyNit1cYVVWrqdZg9EnrzJkuvPee\n",
"CePHewLlEVgJlKs3mVUUoEULGYcPX8SoUXadMhSlbaNwPKI6oLzP6xMy/giCuCaoSH5etDyZzz8X\n",
"cPvtVad0qylmRlPTe+UVM2bNsof8Pbg2XDBaHlNCgng5dCp2DtCsWS60a5cU8G6dPMlqpxkRzFi4\n",
"0IXmzU3o0kWK6tXKz3chO9uNqVPtuv2Qne2BxxPbwzp5shsrV1qQng44nczz1bSpgrJaMF27SjCZ\n",
"wkMEQw1UEYWFYqCURkqKP6w/Q2GekBYtZNSqpUb0vq5aVYLhwx24dInDuHFeTJpkR716Cv76V2/M\n",
"+5s2zR0xfK+sQZua6g/cY9euEhISFIwb5w0TrOE4Vlph0qTIY7N6tRlZWTZd427OHCsyMz2YPNkd\n",
"KEnSpYsfggAUFzOPnMZjj/ng8QA1a8b2iLlcHHJyrMjNdaNLFyNGhgSOUw0ZI7Isw2YTKrUWph7R\n",
"J62A389Ubhs3lvHkk144HCoEIXQyW1k5T0bP89BDEp580oG6dVW8+qoTe/d6LgshhU+0K7ueKEFE\n",
"gvI+rz/I+CMIokoxGsJZXuGEWMIl+/eLGDrUW2Wr30YUM3NyXFiwwIKOHZVAOOVrr1kwa5YT7drV\n",
"CAndkiQOW7eKePRRBTyvGBJl0URkWFFsEf36+dC/vxc2mzHBjJwcF7p3lwyoO7pw5AiPN96whBkZ\n",
"w4Z5sX597JC1XbtE1K6t4NIlVrR9yxYzUlP9WLKkBLVrl0589VQ2jYaB6hmAoqgiNVXCihVmjB4t\n",
"BXJAI91rXp4b27cL+OMfJbz5phmZmR5s2RI7tHHHDhGPPirj8GEhzHtX1qANvsd+/bxISAD+7/+s\n",
"ET100bzFmZkeTJtmi7jt3nsT0bmzjHvuYc/fmDEO7N7N49ChYrz8sgvHjvGoUUPB8OE+SBJw6JAQ\n",
"1WOYn+/CE084sGOHCS+84IbFgphGht2uoqQk9n6aMVIdoWSlBeclJCQAvXv7L9coFDFhgk33WWfX\n",
"LT2H0fDRWEZWecJQg0M+c3NdEEWP7kSbwvGI6qa84mXE1YOMP4IgqoTyhHAaUaAMVslkCDh8ODxM\n",
"TpsYbdsmwufjqmT1WxRFXLpkTDHz66+Lg8I/meclKUnFuHEezJ5tCzmGqVFyMJmEckvRm0xA9+4+\n",
"HDsWKtoRqf5dUZGI4cO9KC7mY97HCy+48dxzHkya5MHOnSI4jo2lIADffsuHee/04HmgZ0//ZeVN\n",
"LwoKWC6i1wsIQmTDIFoYqJ4XtGwulDbGd94pG/ZQ1q+v4ujRYIPLwA0CUFUeTZrIkCQON92kYPRo\n",
"DxQFOHaMx65d4QYkq20oxQyZjXRvZRcA9LZ17ixfXhwo9Wx9+mkJZJkDx6lo3FhG164S/H5g3z4B\n",
"J07waNxYRk6OC1OnugPHdenih8/HoaSE9QdbrDChXz9/zPDSOXOs+POfvZdrXMY2RqoylCzadwmA\n",
"oQUonvcFFrRU1W/4vqK3K7qxptU21J6B0nxl/Qk3heNdm1xJvVmCqCzI+CMIotIpbwhnJMEDzXDp\n",
"39+LHj38EEXgyBEzVBW4/XYFzZur+OknGYrCheRtFRWx1fHx4+147bUSAJW7+s3zPAoLY3uDCgtZ\n",
"qYQOHZJ0c4oOHhQDkzJRVNG9u4Tvv+fRrJkxY0NDFFV06iThr391oHVrGY0asRuKVv/u+HEOHAds\n",
"2yagc2f94ujafWzfLkJRWN5ajx5+nD3Lw2xm286fZ8I2sTysXbpI8HjYMQ88IOGrry5i5EgHdu0y\n",
"oW/fUgPi888FpKeXemwjhYEGo4W9pqX5A3XQgsd4zx4WYmpE5XT7dhG9e/uxb58Q6I/0dKeh+/vu\n",
"Ox5WK9CsmYxdu0QcOSKgUycJd9yh4JtvhMD+2jnT0vyG1DIjGXhlFwBibTNSPH3BAhvGjnXg8ce9\n",
"yM11QxCAo0d5jBnjwLZtLGdSO6eicFi/3ozOnf3IyXFh2jQ3tm0rLfLu9QLp6cwjO3euFePGeTBt\n",
"mhvPP8/KiPA8K/JutSphxkhVhJJF+y79/e9uDBjgM+QxF0ULtmwpNRwdDhW5uc7LRpaI5GQV7drJ\n",
"l9VEJciyMTGpUmPNjYIC9qxqRndZz3akfOWyxgWF410bRF8MjazgShBVARl/BEFUOsZCOBG1Xplm\n",
"uCQlKQBY3apSUQsJTienK3oQHAK4c6cIpxOYPNkdkveUmupHYqIKVTVeLy14UlUeTp+OHLIX7NF5\n",
"7DEffD7gN79RoCiCQYPKjzFjHHjsMR9MJiYIcfAgM57S0nxRFSTz811QFA4pKTIeeMCpK34SPNns\n",
"29eP8ePDlSkVBdi3rzimh7WkhMPvf5+EQYP8mDnThaQkFa+/XoI9ewT8618CmjdXkJPjgtsNCEKp\n",
"x9ZosfWdOwUsX+7Ed995wHEqbrtNgdsNDBniQEGBGRMnutGoUewcUEFg/diyJZu8b9vG6irGuj+b\n",
"TUWjRmoUw8KL7t19aN1aBsep4DggPd2HoiJjZUL0DLzyUF4P6po1Vqgqh8xMD0aMCPc6Bj9/I0bY\n",
"kZLiR//+PvTt6wfPy3C5BDRvXgM+Hx9YxBEEYPlyCxQFEAQVo0Z5IYr+yzmuFb41w0T7Lp0/zwUM\n",
"rkhoodnHjgmYOZN57YPfp8RECT17MqGnDz7QJvgcbDZRV7AqvH3MWEtMNKFFCx6bNpkCRnes2n7R\n",
"PZo+SJIUo3eIqiL2YqgLfj8ZgET1QXX+CIKoVIzWrHI6Ofh8rPYZUKpOB5R6KD780ASzGZg+3YYW\n",
"LWrgqacS8NRTCWjatAZeesmGFSucgbpW2gR2yhQ7FixwgufZD2txMY/WrZMwZowDJ07wqFmTqTga\n",
"L+4eXrPN6xWQmirFrBOWmirhX//SX2N7800zzGYVaWl+DBniRU6OC6NH2yFJwKVLrBh5rPpJXi+H\n",
"Bg1k5Oa64HCoePllJ2bOZEqVCxeWTvT1jM/lyy1QVda3bdrUwMiRDowc6UCbNjUwZ44Vq1aVICXF\n",
"HxDsWLHCgtdfNyMvzx1yXs3DmpPjwpAh3pA+EUU1cG8TJtjh8/F49VULJk2yw+vl8O67Ilq0YGUi\n",
"xo61YfhwB7ZtM+Gnnzjk5bHzGbG3U1L8SE2V4XRy+PprHkeOCPB4OLjdfGDSzOr2xR6zbt0kfPyx\n",
"CKuV9bGR+8vNdUEQELHeYFGRCIsFmDfPhUaNFNx6qxoYe0HQa4kxItWi09tm1INqNjNDTfu/zVb6\n",
"/+BzBpdCUBQOBQVm7N5tgt+vwufzQRRVDBrkD6uPeOutCoYO9SIjwweOUyMaJbFqJZYXI98l2YA+\n",
"lCxzIYZq8PukKEzptWnT4G9VTUye7ADHWQy3W1EUNGigYO5ca8DDWpay9QaZceFA06Y1r+jaROWj\n",
"KOaY9WZ//dV1FVtIxBvk+SMIolIxWrNq61YTTpzgceoUh/x8N2w2Ntl+/XUzZs1yYepUG8aN85Y7\n",
"10sLzfrww2K0aaOgpIQpWwpCab6LohjLd4m0Ymu1yvjvf2N7u8xmFfPnM2GTsmGVksTh449FLF3q\n",
"xLlzfMBb+eWXHjRtqmDUKDtWrHAG7qnsanFengseD/D88x7MmWPF//7HFCrnzrUgL88dVjsv9L5U\n",
"9Ojhjyl+MmuWC3PnWmA2q8jKsiI1lfVf2fMWFZmQkZFwedzc2LVLhM8HdOki6YasaaGM77xjxciR\n",
"zJBYsYLlhh09KuDoUQGbNjHBksREBbLMRfSCGhWDMerBYzL5EngeyMsrzeXS7u+559zYuVOEILCa\n",
"i243F8hp0+vvlBQ/Vq7U88DasXJlCdLSjHt49dobqVbfY4/5wPPArl3MumQe1MieLZ5X0bmzhP/9\n",
"j8eoUSyPdts2Ebt2iWjXzo/CQlPIgsNLL7kDOWh6YdQ878OsWawMRTSPh6qG19isiPJv+P2Ehj/G\n",
"+i6xUNzYAlF6Y2H0fQoWrIqGoiiw28uTr2wtl1gWUX0YyWd/800zsrPdsNt5yEZWIAjiCiHjjyCI\n",
"AFeajF6e0EieV3HbbTL+9CcZ585x+PZbHnl5LjRvLsNsVvHLL7whT0XZfCiWayegTx9WBiApCejf\n",
"3w9VlSDLcki+i9ZevSLZrA/0w8QefFCB14uYQg/r1pmwd2+Jbs7d+PF2qCrw4YdmjBhhDxivt96q\n",
"YNcuEQUFZmRkcJg1yxUUsqoiLY0VsFdVlh/38888hg3zwu/nkJio4ORJAUVFpqg1Do14gdauNSE7\n",
"24XZs904fpzD/Pku9Orlx9GjPDp3lsJC0YqKTGjXLgkvv+xE8+Yy3nvPjDFjLLoha2VDGYPVUTdt\n",
"EqGqPDp39sPvBz79VEDXrrLuRLi8oYzjx9uxalX0HFCnk3mALl7kcPiwgOnT3cjKYjlqe/bwSEuT\n",
"0LMn8zb/+c8OFBayWnB64Zta+yLV8Bs6NAGHD1+MOckPNuLKtnf5cgt4HoFnOjin9OJFDgcOFGP7\n",
"dhNatpTx7bf672Zwbuju3SJUFZg3rzQ3tHt3P5KSgOHDvfB4gBkz3JAkYNAgLwYN8uqKiLD3SMXk\n",
"yY5yGyXlVf4N7fNI4Y9AvXqRv2dGFwf0jG2jXlUm0BJu7Opx00125OfHzlcGjBkX5bn2jcTVFlgx\n",
"uhhaWGhC796RIz0IojIh448giHIXV492/OHDPNLS/Jg82Q1FCRcQAUrD6xITVYwfz4ped+woo18/\n",
"Vjpg0yYTWreWDeV66YlapKbKuHSJCa4AQGqqBJtNhCCUCswAZjDVQsDnAwoKWAFt7b4FwY+SkvBJ\n",
"VbCn6fRpDnl5Wj4h8wZ16yZd9i4CvXr5o3qkmPJlqYJft25eNGqk4j//YdfSDKquXSXcc4+Exo0V\n",
"JCaqmDxZX4o+L8+Ffv28+PJLAY0bS7oeR0XRL6dQ9h5nzXLB7+ewYQPrw7Q0CR4Ph19/5QKGQdm8\n",
"QEXhcPQoM1Ly82265w6G4xBoI88DXi/w7rsWFBSYQya569ebkJMTbminpel7IoMpu0CgefCmTWMG\n",
"naqy58NuV7Fhgwm9evlDPE48r4Xm+pCaKmHWLCsWLLDgwIFiKAoX9FyH92W0Gn5a/40aZcerr0b2\n",
"8Obnu+D1AocOFWPHDhGyzDyqDocKrxf40598GDDAhx072Dh17FgaRjl6tB2qyuGee6SAKFBZz1Ys\n",
"z2l+vguFhSY8+aQXe/YIuOceGTzvhdkMXRGR4AUVt5vD2rWR8xQ1L31ioimwMFNe5d/gBRsjuVVp\n",
"ab5AnnAwisJh4kRb1LEoq7ipEfw+RVLXjSTQEgmTyQTAF1OtUxRFQ8ZFpGtfbV49U/YAACAASURB\n",
"VOOoqrjS3zSCuJEh448g4pwrDbEKPl4zhiSJw29+I0OWw1U4gdKQyAkTbDh5ksfevZcCk+NI3gkj\n",
"xJ7IAiaTBL9fREkJE5CRZTZhvvdeBePH2/Hss47ARPGrr4SQSZWep6ldO1PAOAOAt9/mMWSIF4qC\n",
"mB6pl15yYccOZiylpvqwfLkLxcUIEXtRFLYqvG2biH37ijFpUvRzTpvmxrJlPP7wBwkPPugMiNwE\n",
"jwNDP/fNiCLk8OEOJCeruvX1Pv9cwFNPxQ6fS031Q1WB9HRvwCiSZQ6LF7vwzDNssqrd0+TJbgwb\n",
"5sD8+S5Mn+7G1q1s3P74Rz8++qh8CwRFRSbcf38ijhy5CIDDDz/w2LaNTXzbt5fDPE6KwmHLFjO2\n",
"bDFjyBAvMjNZmG3wOSMpgsaq4af137/+JWLatFBRIk3l8ZNPBOzZI2L/fhP69/eib18/3G5g82YB\n",
"desC99wjw2QC6tZV8cknIt5+m3lbBw/2IS/PjXbtklBYaALPq2HCPEY9p5mZHkycaMOUKR4IQmlp\n",
"lLIqk2Un2506Sdi791LYIkHwNQoKRLRowaF+feXyoosc1ZjRFiY8Hg5btrAFhuBSDbFCLxcudKF5\n",
"c/08uuRkFYoSrNxZanBZLMCwYQ7d+2CoUdV1S98741SlWueNbBxVRthwZaEoSiCfPfb3MHI+MkFU\n",
"JmT8EUScUrriKwbEPMoWHTeSL6KFaJ08ycfMvdKMhtxcF1wu4NQpdszUqTb88guP1q1liKKI1FQf\n",
"1q83lSsHx+hENjfXheee0/ecaZNxbd/sbBd4Xg30i17Om2acaZ5HJnThhaLEDsV64QU3xo3z4vPP\n",
"eaxa5cLq1RbUri2jTx8JH354CUVFJuzbp18oPNI5s7NdGDvWG3His2pVCd5/34SePf346Sc3Pvus\n",
"1CNotA81owIIz7msV0+BxRK7YHVCgoopUyKPw/z5VvA8qw+YkKCibVs/fD5g0yYzzp1j+2/ezEGS\n",
"yjdh4nkV2dke2Gzs3wcOiOB5Fe3bK7BaVaxda4roMQ32IgajFzJYnhp+n3wiYO9eMw4eFNG3rx8N\n",
"Gij4+GMR69aZMWCAF7ffriIvz4T69RXcd5+EGjVUPPywjMWLrVi0yKYbWlvW46kJ1wSHvXbubOyZ\n",
"mjzZfTkMmy2elNVoiTXZ1lskCO6LTZvMmDvXisce82H27MjCF9rCRPD3AgDWrTOjXj0FeXlunD4d\n",
"eSFA8zS+9JIb06bZIoZSqqqiY3CZkZys/6zt3y/ir3/1oHfv6J5+rYZheYnmkTNqXGjiMMC1ZRxV\n",
"BVcSNlz5bWGLGrHVgrnrtr+rkxvVU13dcCotNdzQ/PLLL5RAHAdwHIf69evj1KlTMVcPtRVft5sP\n",
"5K48+CAT5tBboRdFFUeOXIDdHj4Z4HkePp8FS5ZY8Je/+LB2rRlTp9p0V9WHDPFixgwXeB44fZrD\n",
"pUtA/frA//t/ZvTo4Q9aLWf17mSZFT3PybFFLP790ktuDBzow9KlFnCcimHDfGjRokbUSdChQ6y+\n",
"nJ5svubZadcuCTwPHDlyEUuWmJGfz6Tsly1zorBQxFNPJUTt4x07ivHNNzyefjr6fkuXlqBXLzbB\n",
"LCnhoKoqeJ6FomplLR56iIVb7tkjQJaBkSMjn5PnVfz3vxcxfbp+n6Wk+LF4sROiyAwWWWbn1zwT\n",
"HMdyvdq0id6Hn39+EWPGOLBjhxjyb80zOG+eFZmZHjz3XOgk/fPPhcAkfflyC6ZODfeGaG0UBGDL\n",
"FhaKm5bGaqm53UCzZjUDbUtN9WPhQidatTLWXk0FVRSBwkIB9euraNNGhigCJhPw88+A2cxBVRHw\n",
"3LDcw9J3Y9EiJ06c4JGe7sWYMaXP0UsvufDkk15MnMju+ZlnvPjd7yQ8+aQDBQWRFRu/+OIizGYV\n",
"//iHBcOHs5IRx44JOHeOQ5MmEpKSWFhydrYNL73kxrx5Vowa5cH775swerRDN8RQu9aiRU78+CMf\n",
"EoKrlQBxOjn8738cvvpKiPmcaue5804ZvXu7dBQ6rbq5fRrB71XZ8G9tbLR+nDHDhQEDfGjaNHRM\n",
"Nc/lhx+aynwvSsdI21b2OsEsXVqC3r1ZSHdREXvHtFDKaB4vzWCaMCHcYBo82IOcHI+uwRHcB6yW\n",
"pVt3ezBGv+faRFiSTDGvPWOGExynGTuxxys314nrUSCGhQ1b0LRpzajfhEi/aVXVpkjPjrboULt2\n",
"As6ePUvevwiUzluub081z/NITk6+2s0gzx9BxBOCIAAwG16h1xQAT57k0bSpeLkeV+nqsaJY4PFw\n",
"uPVWBYWFInr18qJPHx927DDhhx/4kMno6dNsUn3pEofPPhORnKzgtttkpKd7I66Wz5zpwsyZerle\n",
"vqBJvIj27f34/e9lbNpkJLFejFgzLdhbsm2biC+/5DFxohcPPCDjvvtYXo+vEnPyFQX4+WcOt9yi\n",
"Yu1a8+W+sEWcIOzdG14XIDjHqHFjBTyv6uZZpaX5sHo1CwP98ksh4PHjeeDxx7149dUSfPcdj7Nn\n",
"OV1BF42yYZQffyzi+efdePll9lwEPz8vvuiGz1eae/nUU15YLCo8HiArKzwnMFbIaV6eC506SYHz\n",
"c5yKxEQVjz/uxcmTAtq2ZSI/LPdMhapyqFVLhd2u4tln3XjgARkTJpSGJ5tMKt57zwRBYDmNdeuq\n",
"WLXKjKyscK+Q9m4AQKtWckD4Q9uenu69nJvohsfDtr3/vgnz5jGl2aIiEevWhQrgsPqErKj83/7m\n",
"hdMJfPBBqeCNz8djzRqWb5eX50Z+vhWCABw7xgzXffuKI4YYRgpPTE5W8b//cZg82Y7nn/cYKqUR\n",
"DaNqhnqF6vUEVLKyrBgyxBvmKdHyJ6N9L3JyWH5k2euU5dtveZw/zwWMSECKWWswtAh7aEio3a5W\n",
"q+hK2ZDNevWUmOJTpSqsN7ZAjFGBlfLkX14p0Z4dq1UF4L+c40nocaN7qq8GZPwRRJzA8zxkOXY4\n",
"jBbG16WLFKIA+PXXQogYSlkjMiXFj3vvlWG1qhAENWDY+f0cXnvNjLFjPSGTtkmTXGjRQtH1UgW3\n",
"Z8YMF6ZPZwIdO3aIqFdPwf33ywEPS58+Ptx3n4yiIqOGWez8sH792ITJblexfr2I1FSWC3bqFI95\n",
"85wwmxV07CjrelxEUUWjRjIaNlQihmJpIiI9ejCv38qVZvTo4YsZbjljhgvPPeeCLHPYv18EoCI/\n",
"3x0wAFRVhc/HheVZsXxCJy5eZMWsGzZU8MQTzsDYPPGEDxcvcvjmGwGKgoiCLnqoKlPGbNhQxTPP\n",
"sJyolBR/2HgDoUbcmDGeQI27/ftF7NghRA05ff11M5o3l7FiRQk+/1zAqVMcUlLYhH3GDDeKi7mA\n",
"6I5WquGLL3i0aqXAbGa5cRMmxA5PzslxYds2U+C+y74bNpuCWrWA3btFLFjgCuTmzZtnxdixHjz3\n",
"XOR7Tk31o6SED+lXQQB++YXDnj0iOnaU8MADCsaPt2LsWHugPcuXW/D441488YQXb71lBqDiwQfl\n",
"iJ4ELcS6a1c/Ro92hN1fRkYCdu4U0aWLhAEDfIZCqzMz7Xj6aY+u99/IZHv79tJFl2gCKpLEQZZx\n",
"2UtWasy0a+cHz3OYMiX692L6dDfatvXrGn+iqKJDBwmjRztC2pGf7wLPxw4hi5SDx/rAXi0GR6SJ\n",
"sLYgNn26G4WFIjgOSEmRYLUqISqs16JxFA9Ez9+MPBbEtRXGe6NAxh9BxA1mFBcbW6HPzPRgzJjI\n",
"k3dNYl778BpRDAzeHwBuv12BJEWuRae154UX3Lh0SUWdOioeeYTJ/y9fbrmsoKjAZuMwaVKpYVbR\n",
"mmkaPK+ib19/YGLduTMTTnnzTTMUhU3Wv/iiGJIEXY9LgwYKRJF5pfTyPDRRCKtVxUcfseP79PEj\n",
"IUGNma+UleXG/fdL+OknAX/5SwkSExHVANA8VatXO6MqIC5fbonq7Qo2AIP7UBRVdOwoYdMmM+64\n",
"gxngRvMGWVkHE1SViQJxHGA26+efaX1mNqvYssUEVWUGHsvbAyZOjC5O07UrM3LWrjVh795L5a4d\n",
"qfX/1KluJCYC+fmWQHkQFvIq4D//iX3ezEwP5s61BPp1505m8GlhyJFyTzMzPfD5gBo1WImPO+5Q\n",
"DAmbOBwq+vb14tFHvQEV2n37BPTv78WCBU74fExh1Uh5Ay2Xs6LGgNkM9Ozpx29+oyA1lYXx6gmo\n",
"dO3KwpxHjrQHKema0L69ZOh7MW2aG40b67fxscd8Aa8sUPHJY9lco+osoB5pIlxQYEbz5ia89JIb\n",
"gwb5sHSpGb/+asawYV7EUyRhRXIgqxPKUysfN7qn+mpBxt9V4OLFizhw4AAuXLiAunXrom3btrBa\n",
"rVe7WcQNDPP6cbq1yILRVuiffTZ2cfXMTA+mTWOzCqOKgdOmqQiWxt+501h7evf2Y/x4O86c4bBo\n",
"kRPp6V5MnWpD/foKnnnGi1tuUfDLLxz8fmMTWb2i2EBpCYqVK0sN1WAZ95QUP5KS1IiG1Jo1JYGS\n",
"BZKEsPIEsYzkFSucyMjgIgpjfPSRiB9/FDB7thX79kn4v/+zxjBinAC4mKumbGxsEc4RaggF9+Hg\n",
"wawGXXq6F8XFbLtRYZrnnnNjwwZLiNFTNqwTiL2wkJvrwsmTfMhzVFac5q23zCgoENGxo1yh2pHa\n",
"OXftYqUhZs0KzVVMTfUbPu/JkwKmTLFj1iwX5s61wOXSN0a0fmdGpwunT/OoV0/FkCE+yDIMlVD4\n",
"4AMRx44x9+qzz5qhqsDQoT507y7h6aftKCxkXtpY5Q3WrLEgL88dCB0Mxuhku2NHVmT+xx95jBlj\n",
"x5w57Nksy+9+J2HnTlbnMlhJ9+67gX37Yn8vduwQcfvtoV73WKUayk4eyysqUV0GR6yJsKJwmDbN\n",
"hl69fPjsMyZCdfiwEGLYXuvG0ZViVGDlShYyiOqDPNVVQ/UtVxFQVRXr1q3D008/jVdeeQVvvvkm\n",
"5s+fj6effhq7du262s0jbmB4nscPP/CIFvJYui/zfsWayJrNLNfM6GRf21/j2DHjoS4FBUz2v00b\n",
"CTzPYc0a5vkbNsyHjz4yoWFDBXPmuGA2AzNnujBkCFMJ1RBFFUOGeJGf78LmzfriG0DppCArK3wx\n",
"RvNoaYaUnrExebIdLheHY8d4fPSRGRkZCcjM9ODzzy9i8eISLF3qDBjJesdrRgHPR1qqZ8ekpPiR\n",
"kKDgllsUTJzoRmqqP+yYN980IzFRNVQHr+zY6G3T+jAnx4VJk2wYPJh5Da1WFRkZDigKArmHRuoz\n",
"bttmQtu2fqSm+pGZ6UH9+gpWrbJg1ixn4F7KehEj9XmkPtPaf/vtCmQZhtum5TTq4dBxGpf3vG++\n",
"aYbNpiIvz40JE+y6xojW7506STCZODRooGLnThGffirC62WhvSkp/ojX2rpVxPffi8jPtyE/34at\n",
"W80oKDAjI8MBt5sZCorCSiw4naxEyOHDF7F0aQmWLi3B4cMXMX26G14v0K+fL1BPTw+bjb07kXjs\n",
"MR9cLg7PPutAfr4NW7aYsX27WbePW7WSA54qTUk3P9+GDz4wG/ZgtWkj4ciRCyH3kpnpiao4WlRk\n",
"upwTbYXTacHGjXZs3GiH02kBYI3q3Qs2OKL1wZUaHMZDbEuf3zffNMPj4UKM2epo69WE59m3Kdrv\n",
"gCBQQXUifiHPXzWyevVqbN68GfXq1UPv3r1Rt25dfP/999i0aRMWL14Mn8+H1NTUq91M4gbl/HkO\n",
"nTvHXvFNS5Nw8KBgeILBcahQMXZZ5kLq2UVqT9euEkaMYJ6W229XwHFqVNGH3FwXpkwJrZnWrRsL\n",
"M1u3jpWP+OYbIaqois9XOtHTarilpRnz7jz/vBtJSWzCEVykvX9/L/z+2GFrel4nrY1duvixYoUF\n",
"ixe7oCgsdw/QF/qQJA4//cTjm294dO4cWRFSb2yCx+3jj0W88IILS5ao4Dhg3z4BL7/sgqoyD+dT\n",
"TzlQUGDGrl0+tGsnGZ6g16+voFs3GT6fLxA+26UL86yOG+fB7Nk2wwsLkfpMuzdRZMJFr70WLphj\n",
"FM17lZTEJpDBzw/PA4JgPLZO8yLefLMa0RhhuadePPJI9PIBGRkJ2L5dDFP9jDRv187drp2ELl38\n",
"GDrUi0uXmPexfn0Vf/iDH4IA/PvfIj75RMD+/Sbs2iXg668vhoVVaflnq1ZZwnL0gtup53ETBDVE\n",
"bEbbt0sXPy5e5MK+C/v2icjIiF36JSXFD46TkZgI9OkjgeM4fPqpGX36JEbNrapXT4GiiFdQ75Tt\n",
"E6kPgkVXqhM9r8i12tbKIpbASnAOJHFtc6N7qq8WZPxVE/v378fmzZtRu3ZtvPjii0hKYjWyWrVq\n",
"hbZt22LKlClYuXIlmjdvjgYNGlzl1hI3GoqioHlzGZcu8THDYUQxeu5ZKeVNJAndn+eZMRGrPQDz\n",
"/AEAxwGqGlv0QStK3aaNDJ5nuWTvvy9gxIgEXLjgwowZLjz/vBsFBSJMJiaMwPNMBfDnn0NX+LUa\n",
"bunpPkNG7s6dIh55xI8uXUp/sAoLTWjbVoIkceU2koP7gucRVUilbI5ejRoq0tJkdOjgLJciZDCq\n",
"Cpw/z+O990RwnIoePSQUFYn45BMRY8d6g5RhgZEjPThwQECTJpHFbgAmTvHgg1LEfMWZM104eFAs\n",
"t0ctksLj0aM87r+fQ40aqqEFEL28UM17NWoUy0WbNs2N7dtF+P3Aww/7oarhBku086oq8OmnkX+C\n",
"OY7VCYwVTr1okRMeDxei+jl0qBNJSSrmzdM3dkVRxahRHohi5JzRnBwXFi60BsZXL6wqOP+sdm0F\n",
"06e7MXWqG7t2ifD5gC5dWAkZvbzRbt0kiKIfd9whQ5aBjh3ZvkOHOpCX5w77LmzbJsLj4QyE8wHv\n",
"vmsFwAUEqlq3Zt+BSHNDs1lBu3ZyzDzK6PVOq97gMDoRjpXXHA/GUXSBlavbNsI4FMZbNVDYZzXx\n",
"xhtvAAAGDBgQMPw0GjVqhJ49e0KSJLz99ttXo3nEDY72Af3wQxNyciKHw+TkuLBokRUdOsgh28si\n",
"iipSUyUcOCBi/34xMKE2sr+GqnI4eFCI2p6ZM134/HOhjBpgbO+Z2cxk/vPzbTh5kocgABs2WDBk\n",
"iBfp6V7s28fj2DEeJ06wunNWq4ply8w4fFhEWpofZnPwBJcZSikpfkPeHUkCPB4mDBMeWhX7eD2P\n",
"iDY2igLDYaNpaT7Ur69i+nQb2rSpgZEjHRg50oE2bWpgzhwrVq0qQUqKPzBZDB6b4Gt37Chh4UIr\n",
"8vNtmDPHhrp1FZw/z+Oll0pDFkVRRadOEiwWQFFUJCREDivjeVZrT5to693HpEnsPjjuypQqtHvb\n",
"v9+EiRNtGDbMC1GMHaIYnBca3P8TJthRUGDG/fcnwmJh4is//ijgmWccKCnhDJ9X6y+m2Krf7u7d\n",
"/ZDl6M/66dOslMWcOdaQMW7dugamTLFj7FgPUlN9SE31Y+JENyZOdKN7d+Zd83gQdQxihSDzPA+3\n",
"uzT/7IcfBHz0kYjRo+1ITfXjzjtZofq33jKB4xByHjZZU2A2e9Gnjxv9+vmxaRPr14ICM8aPt4d9\n",
"FxSFw8SJNuTmRv5e5Oa6MGyYA089lYinnkpA06Y1MXmyAxYLkJ0dub5edrYHHk9sUYng8Ek9Sg0O\n",
"L3r3dqF3bxfsdi+AcJXUimA0ZLPs86vnFanqtl4rKIoCSdJKedw49xVPUBhv5UOev2rg+PHjOHHi\n",
"BCwWCzp06KC7T0pKCt59913s27cPHo+HBGCISofnfXjySQ7Ll1uQmem5HBbJPF+dOklwu7lACNkT\n",
"T/hirrQlJqpo0EDGW2+Z4ffHXpHX9hdFJtqwf7+IoUO9GD7cEaTqF9qe2bOtlyfsbKVbVY2KxLCw\n",
"tvr1FeTmuiBJwOzZLvh8PIYPd2DJEhfsdgVNm7Li404nq7UnSSoADl98UYwRIxwhXo9Zs6z4619j\n",
"h52lpkoQBKBWLTWkRuH+/WLIvUQ6Pi1NgiAwjwjA8uguXeIwf74VGRleQyGQKSn+EAOrbP8Ei4rM\n",
"nWuJKIJTdiKpjePDD/tCvDmPPeZDQoIKWVaxbp0VH38cue7Y3//uhijGNuCzstzo2dOPevXUCns6\n",
"yorTyDLzAseqieZyAUuWOCFJ7Fks670aNIgVCX/2WUdgYWL8eA6rVpVEPG9w6OPgwUyBMZLw0GOP\n",
"+cBxTLwk0n3zfGnOYLQxXrnSiYsXgR07WH8PG+aFw8EWKIyG0+7YIYYZEGXzz1h4tBfvvssKMd9x\n",
"h4KjR3ncequCIUOYt3niRBuSk9WgsELlshdKRnq6ioEDvUFhy1qZF3egGHvHjhKKizlMnlz6vRAE\n",
"oFs3CX4/kJ4e6mEM9dq5cOQIjzfesISNzZNPevHuu5UnKlGVio6xQjbLhtjG8oqQ+iRxrRMPnurq\n",
"hoy/auDrr78GANx1110wm/V/bOvWrYu6devizJkz+OGHH9CsWbPqbCIRB2gf0IwMFR4Phy+/FNCy\n",
"pYzf/laByQTk5Fixc6cY8HRFm8iyybMPM2aoyMpy49AhAXl50SfU586xemxTpniwbZsIQVBRo4aK\n",
"5GQ1kBd3zz2sUHlSkoqcHCveesscYoj+8AOPxo3lmPcqiiqefdYDt5uDIACbNpkCBbYHD9aKHauw\n",
"WLiIYW9r1pQgI4PlswHAggUW/PnP4cWng3nsMR9UFfjznx1QVWDhQidyc12YOpVNYO322OErisLq\n",
"5jVtKuODD0x46CFg7lwLkpNVgyGQIsaP9xgysKZOdSM/341//tMSEhZXdiLJ88DgwV7k5TFjcdYs\n",
"W8Djp+VZfvYZj/bt2VhPmGDH0KF2zJnjxvPPu7FtG6s7lpbGcvjef9/IRFvEvfdKAU9dtD7jeWDX\n",
"rtIQx7KlHgYPZv+eM8eKzEwPCgtNmDaNta2oiOXHpaZKSExU4fUCXi+HP/7Rjy++EJCZaUdBgSnk\n",
"fvPzXRg8ODSHrajIhIyMBMya5QqEPsoyMx69Xi5Q2kHzaAPA4MG+iDUBZRlRC7AbzYecOtWNv/3N\n",
"ji1bzGHXKKusWnYMtHDa+vVjl3lg7zSwalXksiKvvuqEqgKqGpo7VzZETyujoaoqTCagd29mDMuy\n",
"AJeLPRvJyawki8mkwu3m0KxZjZBc3bL9MH26CzNnupCV5dYpsi0DuDaLbOspj+pNhDt2LF3AKyoK\n",
"rWF4PefvEQRAYbyVDRl/1cCJEycAsPDOaNx66604c+YMTpw4QcYfUSVoH9CEBBHt2zNvyr59AlRV\n",
"RU6OGy+84MHWrcwA9HpZqYKpU90oLDRBENTLtcJY0WANUQRq11Zx4QJbXdeKDANsQm02q5g1y4JZ\n",
"s+xIS/NhwQIXHnnEjx9/5PHLL1yIF0bL2Vq/3oSFC13IyvLg0CE+YFgePCgYEn1ITWVCNG43MGJE\n",
"6WRo8GBmqIgi8yzEKoGwYoUTmzYxg+7hhyU4HNG9RpqxpE3IWrQwITPTjfHjvahRA/jxRz6qkawd\n",
"37+/F8eOCZg504bPPjNh1aoS7NplwvnzscfYbAbatJGxYUNsA2vXLlZGY+hQLwYM8GHbNhE8z3Ig\n",
"zWYV//63iL59fViwgJUCUFVg+HAfGjVioTdagfP09AQMGuSFqqpQVTYx9XhKJ+k9e/ohSRy2bBHQ\n",
"rx8bm1ioKnD8uICFC61Ysyb6QoSiAIcOFWP7dmZkdu3KrvHZZwKWLHHB7weGD2eG/G9/K6NbNwke\n",
"j4ojR0Q0by6jcWOmBvreeyLeeceKbdtELFrkxMMPS5g/34Vdu0RIEtC5MxN8+eYbXtdoChb4yc93\n",
"ol49FS4XM0wHDfJi4UJnQBBn5UrmgQ82FLt0Ybmn775rwrFjPIYNi1yAneVDxvaCFxaacPfdMrZs\n",
"Kf1btHqGZUYBrVvL+NvfPGEGhF7+maLEfqdyc50AKuqF8odN/lSVx5Yt9oiGn3Z95rVjHv+yk0dZ\n",
"5q85UQm/3w9V1UqBsGdNy2EEfChrLMuyAJOJw6BBXgwa5CWvCHFDQp7qyoGMv2rgwoULAIA6depE\n",
"3e/mm28GABQXF1d5m4j4RpIkABJ4nsf99/PgOA5ut4hRo2xo2ZJ9WJ9+OgE7dgjo3FnGPfewSako\n",
"+sHzzPDjOEvYCr/VKuOf/3Th0Uf9AGSoqgq/X8Azz3hx113svGazClEEvvpKwPffC1AUBIWhlk5y\n",
"EhJUWCwy2rdns+XcXCZsAcQOMbXZWN5cUpKKQYO8GDDAi65dJdjt6uXcIwlut8mQ10QQgIQEwGZT\n",
"sWqVCUOH+pGd7cK0aW7s2ME+oR06MK/RmjWWEKNAUTjMmmXHgQMmLF7shM2mwu0Ov1/NiNK8Q0uX\n",
"OsHzftx+e6lQRdeufjidsUVFOnZkIXBGfh99PmD2bCs+/5zHsmUutGkj48ABEc8+yzx7bdowL+uY\n",
"MQ40aCBj7FgPJk+2o3Xr0r9rBuPSpSVBP8yhE1NJElFSokKWeZw4wSEtLbbKa2qqhH/8g/VnenoC\n",
"FixwIivLfVmpFIHx9HqBxYvNaNyYeZFPn+awdCkb17vvVuBwSJBlDkuWuLB1qw/NmskoKhLw9tvW\n",
"gBz+gQOhCqhAqYKnqnKQZQ4//MDj4kUevXp5UadOZEEbRWHhmg4HsGcPj3btFPTqxa6zerUFU6fa\n",
"0KWLdLlovYLDh0W0ayfjllsUeL3Ahx+KkGUO6eleJCRE93oKFRcvDdRa1FNJ1caALXgougZEWSGG\n",
"rl2Z0mtVF2O+0gLrepPHa01Ugud5nD9fgsmTHTGVR0vbE24Yk1eEIAg9yPirBjwepg4WK49P2+52\n",
"R05MJ4jKRJsgiKKILVtM2LzZgs2bQ/cpLOQDk8M77pDRu7cfkiTqrvB7PAKeeCLxsviCE0wZL3RS\n",
"wnEc3n3XiqefTggcN3euNRD2CQCjRzswcKDn8rW0WmDsPKIoxvS+DR3qAM+rGDHCg27d/EhIAFRV\n",
"DiT987xoqF5WYaGImjWZcbZ6tRnDh/sA+OBwcOA4Dn36+KGqAlasYN6iv9+T+wAAIABJREFUFSuc\n",
"umUkGjRgoaxHjnC45RYWxnnypBC4X82IUhQOQ4Z4AajYulVEs2astMXmzSI2bDBh7lyPobDTS5dY\n",
"GFjsXDkJY8awQuuvvirjySe9WLxYRFERa39BQWm/zpjhDuRUbd0aeq7Bg71hE+PgZ+v998WAsXXi\n",
"hAkjR8bOKTWbVcydy7YXFZnQqlUNpKb6MXOmC7feKl/2+qgQRRNOnRIxZ074s5CZ6b3spTbj7bct\n",
"OHeOA8exUMxnnxUjqoNqfbNokRWzZ1vB86xNo0czQZH8/HA1Sr1x2LPHBFGU0L49q5M3bBhw+DB7\n",
"PjQPYbt2ElwuGfXrK1i0yAKtlmNmpgNLlzojPuu1aqmGjOhI+ZCaMm0klVS2iKJAUfTVLYHQ/LNb\n",
"blEMhSVXdjHmypKCv5bKH8iyyYAHNVx5lLwiBEEYgYy/aoAzEuMElt9Qnv0J4mrAvISxlfGCV/iD\n",
"JyWiKKJssXmtmHPwJHTgQG/YeRVFgc/ngyAIyM0FsrJCQ0xtNjVQlFoQgJYtFZhMKvz+ioU+mc3M\n",
"8JMkYOhQr64HhOdlDBvG4fBhIUS8ZudOEaJYmouzcaMJsszhxRfNWLWqBFOm2DF3rjVkkqnl1b37\n",
"rgnPPJMQ1p4NGyILqWi5dxyHiHL5wWhiKLt2CQEV1G+/5QI5itpYdOmiGe1AgwahHi/jE+PQ8ZUk\n",
"PqboSn6+FZJU6tVRFA5bt5rRv78PDRr4AosCPK9EFQIAALebw7RpNkgSB55XsW9fccy+cThU3Hmn\n",
"hJdfduKhh0JFX4yKuxQVmfDb35YEFAd5Xg5pa3CJgyFDQsVKhgzxXvY8+pCbqyI7u/RZT0mR4Per\n",
"8Hpje8EjifkAzHPYurVcwTENFWIAOLz3XvXnzVWW1+5aEZXgeR5OZ/m+rwRBEOWBjL9qQPPoaR7A\n",
"SBj1EAIsH8Dv9+tu4zgONpst8G8yJm98tDGu6Firqmp49RyAIa+ZtsKvlqn6XZ5rqaqqe0+KooDj\n",
"PEhKEtGvnwJF4fDttzy+/ppD9+4KHn3UB46TA0anqob2jfE2SDCZJAiC/nm0c3GcLyzPrXdvJkYh\n",
"y4DJxKF+fQ7NmikYO9YeEAbRC/30+YALF3jdCfmTT3rB8xJyc50BFcTgEEieB1assGD79tgGSl6e\n",
"C598IuLAgeKAYTNokBdNm7pRq5aImjVVfPmlEPBKagqiweqLpYIZkcdKr69nz2bfp5wcV5gBb7Go\n",
"yM+3BvaJ9Vywf3vhcJR6l1VVDYyXIAghz6sRQaO8PBdEUUafPhJ8PhFPPukIiL4AoeIuzz3nxu7d\n",
"oq4yaNn2Bre1Tx8JgIjlyy3IyrIGctZCRZX8UBQVPO9Dw4Y3oU+fC4H3SVVNWL7cjJyc8hVXL9uX\n",
"druKI0f8OiIokce07PhynBeCICA1NXZYcrT3uqLwvD/mYgLrS2P3EulZqo7f0rIqqnpE+74S1x9X\n",
"+vtNXD8Ej7Hb7Y76/ppMJphMVbOgRsZfNVCzZk0AwNmzZ6Pup23X9o/Ghg0b8M477+huq127NpYs\n",
"WQKAqYgS8UNycnKFjmNCHbG9IXY7D4fDAWMF3jkkJiYGFiIqcq26desamnxKEgufa9eOeRZFUYx6\n",
"nPE2cKhTp46hH2WtHU88wTxSomi77OUEnE4nbrpJDilqH6xwCpTm1eXmepCR4cOgQb4QT4/dDtSq\n",
"5YDZbL6cS+nH44/7LxvCYkBJePhw5vErLDRh/34xRC5fK7wNMFGRo0cFvPKKNZC3t2yZM/D9SUlx\n",
"4YEHJBQWKhg4kNWKs9mAGjUseOIJXL5HS4X7evZsG+bPt2DcOC/69fPhjjvYBHvCBCtWrw43/ErH\n",
"xNhzocHC6EO9I8HGm2aAa6GeLheHf/9bRFqaFVarFb/8Uoy6ddUww0ETd3npJTcGDvThH/+wYP16\n",
"S0juYKz2+v1+ZGS4Lo81+5Fn/cyhdu2EsB9+LS9cO3b4cCZmk53tDuSgqiozQh2O8BxU/b5MhCzL\n",
"Qc9t7DHVgxlJlfdelxe/34+8PNdlD2nsvrxW0Xte9dH/vhLXLxX9/SauT8aNG4dz585F3N6/f38M\n",
"HDiwSq7NqbRsVOUUFBTgn//8J1q0aIEXXngh4n4jRozA2bNn8fe//x133XVX1HMa9fydOXMGshxb\n",
"Gp+4vuE4DsnJyTh9+nSFV4KZcII5YukDrbwDAJSUmNG0ac2oK/xHjlyAw6EfKmX0WlUZ0lSdbeB5\n",
"HiUlZjzzjAMrVjgxZUrka3KcH7Isg+f5EO9WcDtijXfZY9kxJhQUmLFqlSVM3ARgYYYzZjjB896I\n",
"56loX5Tn2arsMdH6Xu955Xk1kHf37LMeLFpkxfz5Fnz99cXAs2uk7cx7Z6twe2P1c7Tx1koBcJyI\n",
"/fsFbN8u4rPPTOA4NeazVtnv2LXyXlfGM3u1iPa8asT6vhLXF5Xx+01cH/A8j3r16gG4up4/Mv6q\n",
"gZ9//hmZmZkwm81YunSp7krdyZMnMW7cOFitVixbtixiPcDy8ssvv5DxFwdwHIf69evj1KlTV/Tj\n",
"wfM8FMV8OXwxNAyM54MnGlZMnuyIuMKvGRIcF00swui1qo7qbQPrs5Mn+ctKj2pIyKcgAElJClQ1\n",
"eng4ULHxZpNiS9SJedn6a5WJ0b6umjGJ/byOG+fB736XhMGDfWHPbrQ2CYIfsmyq0mfIyHjrtbF7\n",
"dz9EkRV0r6537Fp4r69/rvz7Slw/VNbvN3Htw/P8NeHhJeOvmpg0aRKOHTuGjIwM/OEPfwjbvmrV\n",
"KmzevBkPPfQQRo4cWWnXJeMvPqjsHw+9wsJlt1eWIRHrWtVBdbQhuM/WrjWhY8fSEho1a6oYNsxr\n",
"uM8qOt7XwsTcaF9X5pjEel61YvDJyWrUZzdam6ryGSrPeOsXBa/+d+xaeK+vVwRBAMeZMX781Vmo\n",
"IaoXMv7iBzL+4oyDBw9ixowZSEpKQl5eHmrVqhXY9v333+P5558Hz/OYPXt2pT4YZPzFB1fjx+Na\n",
"MCSuNyqrz650vONxYq7X9127MuP7yy95tGwpX7PPLk0O4wuOY7nG//vfJfq+xgH0fscPZPzFIZp3\n",
"r06dOujbty/q1q2L7777Dps2bYLb7cZf/vIXpKamVuo1yfiLD67mj0c8GhJXypX2GU0WKk5w3wdz\n",
"LT+7NN7xRfB4cxxH39cbHHq/44drxfgjtc9qJCMjA4mJiVi3bh2WLVsW+LvNZsOIESPQsWPHq9g6\n",
"gqgYNCEpP9RnVw/qe+J6gp5XgiAqGzL+qpl+/fohNTUVBw4cwMWLF3HzzTejbdu2hmr7EQRBEARB\n",
"EARBVBQy/q4CNWrUQOfOna92MwiCIAiCIAiCiCPCEx8IgiAIgiAIgiCIGw4y/giCIAiCIAiCIOIA\n",
"Mv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIg\n",
"CIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiC\n",
"IOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+\n",
"CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiC\n",
"IAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDi\n",
"ADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giC\n",
"IAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAI\n",
"giDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy\n",
"/giCIAiCIAiCIOIAMv4IgiAIgiAIgiDiADL+CIIgCIIgCIIg4gAy/giCIAiCIAiCIOIAMv4IgiAI\n",
"giAIgiDiADL+CIIgCIIgCIIg4gDxajcg3nC5XNi/fz/Onj2LWrVqoW3btkhMTLzazSIIgiAIgiAI\n",
"4gaHjL9y8Pbbb2PdunVR93nxxRdx55136m4rKirC6tWr4fV6A38TRRGDBg1Cr169KrWtBEEQBEEQ\n",
"BEEQwZDxVwEaNmyIWrVq6W5zOBy6f//www+xevVq1KxZE3/6059w66234ueff8bGjRvx+uuvo6Sk\n",
"BI8//nhVNpsgCIIgCIIgiDiGjL8K0KtXL3Tq1Mnw/seOHcOaNWtgtVqRnZ2N5ORkAECrVq1w3333\n",
"YdKkSdi4cSNat26NFi1aVFWzCYIgCIIgCIKIY0jwpRpYu3YtVFVFjx49AoafRu3atTFo0CAAwBtv\n",
"vHE1mkcQBEEQBEEQRBxAxl8VU1JSgoMHDwIAunbtqrtPhw4dYDKZ8N133+HMmTPV2TyCIAiCIAiC\n",
"IOIEMv6qmG+//RaKoiA5ORk333yz7j5WqxVNmjQBAHzzzTfV2TyCIAiCIAiCIOIEMv4qgKqqhvc9\n",
"ceIEAKBRo0ZR97v11ltD9icIgiAIgiAIgqhMSPClArzyyitYtmwZEhIS0LBhQ7Ru3Rpdu3ZFQkJC\n",
"2L4XL14EANSpUyfqObXt2v4EQRAEQRAEQRCVCRl/5SA5ORktW7aEoihwuVw4c+YMDh06hEOHDmHT\n",
"pk3429/+hmbNmoUc43a7AbDQzmho2z0eT9U0niAIgiAIgiCIuOaGNf4OHjwYEFopL40aNdIVZ+nY\n",
"sSM6duwY8rf//ve/eP311/H1118jLy8P8+fPR1JSUmA7x3EAyhcqWpnwPH/Vrk1UH9pzRuMdH9B4\n",
"xxc03vEFjXd8QeMdP/D8tZFtd8Maf//973+xefPmCh177733RlTmLMudd96JKVOmYOLEiTh16hQK\n",
"CgrQr1+/wHajHj1tu81mM3Rdv98Pv9+vu43juMB5IonMEDcm9erVu9pNIKoRGu/4gsY7vqDxji9o\n",
"vOMLt9sd1dg3mUwwmUxVcu0b1vgbMGAABgwYUC3XMpvN6NatG1avXh2m1lmzZk0AwNmzZ6OeQ9te\n",
"o0YNQ9fcsGED3nnnHd1tjRs3Rm5urqHzEARBEARBEARRfWRnZ+Po0aMRt/fv3x8DBw6skmvfsMZf\n",
"ddOgQQMAwKVLl0L+rql8/vjjj1GP17bHUgXV6Nu3Lx555JGI2y9cuIDc3FxkZWUZ9iYS1y9utxvj\n",
"xo3D3LlzabzjABrv+ILGO76g8Y4vaLzjC7fbjezsbEyYMCHqeFeV1w8g46/S8Hq9AAC73R7y97vu\n",
"uguCIODMmTM4deoU6tevH3asy+XCt99+C47j0LRpU0PXM+IOPnr0KMWPxwmqquLcuXM03nECjXd8\n",
"QeMdX9B4xxc03vGFqqo4evQobDZbmM1QXVwbmYfXAefOncPx48fhdDp1t3/55ZcAWMhlMHa7HW3b\n",
"tgUAFBQU6B67fft2SJKEJk2axCwJQRAEQRAEQRAEURHI+DPIli1bMGHCBLz++uth244fP47t27cD\n",
"QJgaKAAMHDgQPM9j69atYUXcz5w5g3Xr1gEABg0aVAUtJwiCIAiCIAiCoLBPw6SkpGDz5s0oKipC\n",
"SUkJ2rdvj4SEBHz//ffYuHEjJElCWlqabs5eo0aNMGTIEKxevRrZ2dno06cPGjVqhJ9++gkbN26E\n",
"0+lEnz590Lx586twZwRBEARBEARBxANk/Bmkbt26mDp1KhYsWIC9e/di7969gW08z6Nbt24YNmxY\n",
"xON79OgBi8WC1atX49VXXw38XRRFDB48GL169arS9hMEQRAEQRAEEd+Q8VcOmjRpgoULF+LQoUM4\n",
"ceIE/H4/atSogVatWhnK1UtJSUH79u2xf/9+/Prrr6hZsybatm2LxMTEamg9QRAEQRAEQRDxDBl/\n",
"5YTnedx99924++67K3S83W5Hhw4dKrlVBEEQBEEQBEEQ0RGmT58+/Wo3gqgaeJ5HixYtIAjC1W4K\n",
"UQ3QeMcXNN7xBY13fEHjHV/QeMcXV3u8OZUKixAEQRAEQRAEQdzwUKkHgiAIgiAIgiCIOICMP4Ig\n",
"CIIgCIIgiDiAjD+CIAiCIAiCIIg4gIw/giAIgiAIgiCIOICMP4IgCIIgCIIgiDiAjD+CIAiCIAiC\n",
"IIg4gIq836D4fD4cOHAAp0+fRmJiIlq3bo2bbrrpajeLMMjFixdx4MABXLhwAXXr1kXbtm1htVqv\n",
"6Jzfffcdvv32WyiKgjvuuAPNmjWrpNYSlUlVjD1x7VHZ43zmzBl89dVXOH/+PERRxM0334wWLVog\n",
"KSmpEltNVJTKHG9VVXHkyBH88MMPcLvdsFqtaNiwIVq2bAmepzX9qw19w+OP623Myfi7Afnss8+w\n",
"ZMkSXLp0KfA3juPQo0cPDB48uMJFJZ1OJz744AN8+OGHcLvd6N+/PwYMGFBZzSbAftTXr1+Pd955\n",
"B4qiBP5us9kwfPhwdOzYsdznPHfuHBYtWoSvvvoq5O+NGzfGmDFjkJycfMXtJq6cqhh7ADh16hTW\n",
"r1+Pjz/+GKqqIisrC82bN6+sZhPlpLLHWZIk/POf/8T27dvDtomiiH79+uHRRx+94nYTFaOyx/vk\n",
"yZOYM2cOTpw4EbatTp06GD9+PG6//fYrbjdRfqrqG16WHTt24JVXXgEArF27tlLOSVSMyh7zM2fO\n",
"YNSoUVH3SU1NxV/+8pcKtVeDjL8bjL1792LOnDmw2WwYNGgQfvvb3+Ls2bN4//338cEHH+DChQsY\n",
"PXp0uc+7fv16bNy4ER6PJ/A3juMqs+kEgNWrV2Pz5s2oV68eevfujbp16+L777/Hpk2bsHjxYvh8\n",
"PqSmpho+X3FxMbKzs3H69Gncf//9gQ/Rp59+it27dyMrKwsvvvgibr755qq6JcIglT32Xq8Xy5Yt\n",
"w+7du6GqahW2nCgPlT3Or776KrZv34769eujZ8+eSE5ORnFxMT799FP85z//wdq1a9GgQQP8/ve/\n",
"r8K7IiJRmeMtSRJmzpyJ06dPo2XLlujatStq1KiBc+fOYfPmzTh69Cjy8/Mxb948mM3mKr4zoiyV\n",
"/W7rcfLkSSxfvrySWkxcKVU15g6HA40bN9bd1rBhwyttNhl/NxLnz5/Hyy+/DJ7nMXnyZDRt2jSw\n",
"7fe//z2mTZuGf/3rX7j77rvRuXPncp27qKgIPp8P999/PwBmZBKVy/79+7F582bUrl0bL774YiBc\n",
"q1WrVmjbti2mTJmClStXonnz5mjQoIGhcy5btgynT59GSkoKnnrqqcDff/e73+Hmm2/Ghg0b8PLL\n",
"LyMrK6tK7okwRlWM/cWLF/Hxxx/DZrOhc+fO+Oqrr3D8+PGqvA0iBpU9zj6fD4WFheB5HllZWahV\n",
"q1Zg24MPPogVK1Zgy5Yt+OCDD8j4uwpU9ngfPnwYp0+fRsOGDTF16tSQEM97770Xo0ePxq+//op9\n",
"+/ahffv2VXZfRDhV8Q0vi8/nw9y5c+Hz+Sqz6UQFqcox/81vfoPnn3++KpoNgARfbig2bNgAj8eD\n",
"Bx98MMTwAwC73Y6hQ4cCAN56661yewK6d++OhQsXIjMzs1JWHYhw3njjDQDAgAEDwvJ0GjVqhJ49\n",
"e0KSJLz99tuGznf06FH8+9//htVqxRNPPBG2fcCAAahTpw4OHz6MgwcPXvkNEBWmssceAKxWK9LT\n",
"07FkyRJkZGTA4XBUapuJ8lPZ48zzPF544QW8+OKLIYafhrbI9+OPP15Zw4kKUdnj3bBhQ0yaNAmj\n",
"Ro0Ky+2z2Wxo0qQJABY6RlQvVfENL8uaNWtw/PhxdO/e/YraSlQO1THmVQUZfzcIiqLg008/BQB0\n",
"7dpVd5+7774bN910E86fPx+W/xWLXr16oU6dOlfcTkKf48eP48SJE7BYLOjQoYPuPikpKQCAffv2\n",
"hYTfRmL37t0AgPvvvx92uz1suyAI6NSpU8i+RPVTFWMPAElJSejZs+c1nXQeT1TFOIuiiCZNmuCO\n",
"O+7Q3e73+wEAJpOpgq0mKkpVjHft2rXRtm1b3HbbbbrbXS4XAJC4WzVTVd/wYPbs2YOCggLcdttt\n",
"GDJkyBW1l7hyqmPMqxIy/m4QTp48ieLiYpjN5sDqnx533303AOCbb76prqYRBvj66//f3v1HRVnl\n",
"fwB/M478EAL5qYCC4mqCmj9JUhG3QjMzs5XQ2spEj6G1Ze3XI5qRbZ52Xcs0Xdet1rOZm+ZRWvSk\n",
"QgIKedD4pQIKjIqERID8GHAch2Hm+wfneZyBYZiBGUDn/TrHc8bnufPMnfnMwHy4937uZQDAqFGj\n",
"Olyr4ePjAx8fH6hUKly/ft3kawoxN0Q4V1RUZG6XyUKsEXvqe3ojzj/99BOA1ilE1LN6Ot7Xrl1D\n",
"YWEhXFxcMGHChG5di8xj7VhXVVVhz549cHR0xFtvvcU/5vQB9/vvbSZ/DwhhLY+/v7/Rap5Dhw4F\n",
"AJSXl/dIv8g0QuW2gIAAo+2E+Bmq9KZLq9WKMTZ2TeFcdXU11xH0EkvHnvqmno5zZmYmTp48CQDd\n",
"LjJB5uvJeOfm5uLjjz+GVCrFG2+8ARcXly5fi8xnzVir1Wps374dCoUCy5Yt6/J6QbKs+/33Ngu+\n",
"PCAaGhoAoNOpmUJVR6E99Q319fUATI+fXC432k6pVIrJnLFrDhgwAI6OjlAqlZDL5Zza2wssHXvq\n",
"m3oyzqdPn8Y///lPAK3LAKZNm9bla1HXWDPecrkc27dvh1qtRmVlJerr6zFx4kQsXry4wymhZD3W\n",
"jPWBAwcgk8kQHh4uLtOg3mftn+eFhYVYsmQJHB0d4ePjg5EjR+Lxxx/vsAKouZj8PSDu3LkDAJ2u\n",
"7xHO97X5x7ZOiIep8RPi3RHd86ZcU6lUdnpNsg5Lx576pp6Is1arxaFDh3D48GEAwPz58w0WeyLr\n",
"s2a8m5ubkZ+fr3espKQE6enp8PHxMbjGm6zHWrHOy8vD0aNH4evr2+193ciyrBVzBwcHjB07FkDr\n",
"dk21tbUoLS1FaWkpkpOTLfYznclfL8rLy+tylcWAgAC9wi7CnnudVfHkfl99k6l7Jgrx66x9V/Zg\n",
"5L6NvcPSsae+ydpxViqV2LFjB7Kzs2Fvb4/ly5dzpKAXWTPenp6eOHjwIDQaDerq6pCfn4/Dhw/j\n",
"2LFjyMnJwebNm5kA9iBrxLqurg47d+5E//798fbbb8PBwaFbfSTLstbn283NDRs3btQ7VldXh6Sk\n",
"JCQkJODo0aPw8/PrsLCjqZj89aKSkhIcP368S/cNDQ3VC76TkxOAzkf0hPNCe+obTB2RNfWvTbrx\n",
"VSqVRr8ImHpNsg5Lx576JmvGWaFQ4KOPPsLVq1fh4eGBtWvXYvjw4V3vLHVbT3yuJRIJPD09ERER\n",
"gSlTpmDdunWoqKhAYmIiFi9ebH6nqUssHWutVosdO3agsbERr732Gqfy9kE9+Xvb3d0d0dHRsLOz\n",
"w+HDh5GQkMDk734WFRWFqKgoi1xr4MCBAICamhqj7YTzbm5uFnlcsgxz4ye074iDgwMcHBxw9+5d\n",
"VFdXd1jt7/bt21AqlZBIJO32qaGeYenYU99kzTjv2LEDV69eRUBAANavX29wzz/qWT39uXZ2dsaL\n",
"L76Izz77DKdPn2by14MsHevq6moUFhYCAPbu3Yu9e/d22DY6OhoAEB8fj5CQEJP7TN3TG7+3n376\n",
"aRw+fBhVVVWoq6vr1s95Jn8PCKHiUEVFBdRqNaRSw6EVNvvtrEIR9SwhHqWlpUbbmRo/Ozs7DB06\n",
"FDKZDDdu3Ogw+ROu5+Pj02G5YrIuS8ee+iZrxTkzMxO5ubnw8PBAXFwcE78+ojc+1+PHjwfQOk2s\n",
"ubmZWwL0EEvHWlj3ZWyq4KVLlwAA48aNAwBWeO1hvfH5dnFxgZubGxoaGtDY2MjkjwBfX18MHDgQ\n",
"9fX1KCwsNLi3m0ajwcWLFwEAwcHBPd1FMkL4i11JSQnu3LljcFpuRUUFampq4OjoaNI0kJCQEMhk\n",
"MuTl5WHmzJkG2whrTvl+6D3WiD31PdaK86FDhwAAy5cvh4eHh8X6S93TG59rYX2RVqs1uuUTWZal\n",
"Y21o3Vdbwojfe++917VOU7f01u/tu3fvAkC31/Ryn78HhJ2dHaZPnw4ASEpKMtgmKysLdXV18PLy\n",
"wujRo3uye9QJf39/DBs2DCqVCmlpaQbbCHENDQ01aZRuxowZAIDz588bLDOsUqlw+vRpvbbU86wR\n",
"e+p7rBHn4uJilJeXY8iQIZg8ebIlu0vdZI14V1ZWIjs7W9zXty3huJ+fHyQSfr3rKfwZbnusEXOV\n",
"SoWysjJUVVUZPC+TyaBUKuHq6trtbbn40+EBsmDBAjg5OeHnn38WR/gETU1N2LdvH4B7fzHSFR0d\n",
"jejoaKxevbpH+krtLVmyBABw5MgR1NXV6Z27evUqTp48CalUikWLFonHCwoKxNj94x//0LtPYGAg\n",
"HnvsMTQ3N+Prr79u93jffvst6uvrMWbMGLG0MPUOS8ee+iZLx1kmkwGAxfZ+IsuydLzz8/OxZcsW\n",
"fPHFF+0eS6PR4LvvvgMAhIeHW/qpUCf4M9z2WDrmt27dwv/93/9hw4YN7baGaGlpwf79+wGgw5lc\n",
"5uC0zweIm5sbYmNjsW3bNmzduhXPPvssRo4ciZqaGiQmJqKqqgrTp083+sZhGfneM2HCBMydOxfH\n",
"jx/He++9h4ULF8LHxwcymQyJiYnQaDSIiYnB4MGDTb7msmXLcP36daSnp0OhUIgVotLT05GZmQl3\n",
"d3fExsZa6ymRiawRe+p7LB3n27dvA2hNCv7yl78YbbtgwQKDywHIeiwd77CwMPz3v/9FcXExNm3a\n",
"hIiICHh6eqKhoQFJSUkoKipCQEAAnnnmGSs/M2qLP8Ntj6Vj7uvriwkTJiAvLw9xcXGYO3cufH19\n",
"IZfLcfz4cchkMri7u+P555/vdt+Z/D1gpk6dij//+c/Ys2ePuBa8ecXpAAAVH0lEQVQEaC0JPW/e\n",
"PItsDskE0XqWLl2Khx56CIcPH9b7666TkxNWr17dLnHvLBaurq6Ij4/Hzp07kZ2djezsbPHciBEj\n",
"8Kc//Qne3t6WfRLUJZaOfVv83PYN1ohzbW0tamtrjbaxxF+LyXyWjLeLiwvWrVuHbdu2obCwUKwI\n",
"KZgyZQpiY2M5rbCXWPtnOPU9lo7522+/jV27duHnn3/Gv//9b71zgYGBWLNmDZydnbvdbzstd/1+\n",
"IKlUKuTk5KCqqgouLi4YP348PD09e7tbZKKGhgbk5uaioaEB3t7emDRpUrf3d5PJZCgpKYFGo0FQ\n",
"UBCLvPRR1og99T2Ms22xZLxbWlqQn5+P8vJyNDc3w9XVFcHBwfD19bVwr6kr+Nm2PZaO+c2bN3Hl\n",
"yhXI5XI4Ojpi+PDhFq3VweSPiIiIiIjIBrDgCxERERERkQ1g8kdERERERGQDmPwRERERERHZACZ/\n",
"RERERERENoDJHxERERERkQ1g8kdERERERGQDmPwRERERERHZACZ/RERERERENoDJHxERERERkQ1g\n",
"8kdERERERGQDmPwRERERERHZACZ/RERERERENoDJHxERERERkQ1g8kdERERERGQDmPwRERERERHZ\n",
"AGlvd4CIiGzPd999h8OHDwMADh482Mu9IXOsXr0aNTU1iIiIwKpVq3r88eVyOY4cOYLs7GzU1tbC\n",
"yckJwcHBePfdd3u8L0RE9xsmf0REfdCuXbtw5syZLt+/t76Y9wXGXjtHR0cMHjwY48aNw5w5c+Dt\n",
"7d3DvaPuaGpqwoYNG1BVVaV3TPf/XVFfX49Vq1ahpaUFUqkUe/bsgYuLS3e7S0TU5zD5IyLqg/r1\n",
"6weJxPDMfI1GI97uqE1Hx60tLS0NVVVVGD58OEJDQ3ulD7p0XweNRgOlUonS0lKUlpbi5MmTWLly\n",
"JWbMmNGLPSRzHDt2DFVVVXBwcMCKFSswadIkODs7Q61Wd+u6KSkpaGlpAQCo1WpkZGTgqaeeskSX\n",
"iYj6FCZ/RER90Ouvv47XX3/d4LlNmzahsLAQ3t7e2LlzZw/3zLi0tDRcvnwZERERfSL5+/zzz+Hl\n",
"5QUAUCgUqKysREpKCpKTk6FSqbB7926MGjUKPj4+vdxTMkV2djYAYNasWQgPDxePS6Vd/zqj0Whw\n",
"6tQpvWOpqalM/ojogcSCL0RE9xmtVtvbXbgvDRgwAEFBQVi+fDkiIyMBtI7ytP3iT33Xb7/9BgAI\n",
"CAiw2DVzc3NRU1MDR0dHTJo0CQBQWlqKGzduWOwxiIj6CiZ/RERkc6ZNmybe/uWXX3qxJ2SOu3fv\n",
"AujeSF9bSUlJAICZM2di/vz54vHU1FSLPQYRUV/BaZ9ERA+wqqoqvPnmmwCAVatWISIiAqmpqTh5\n",
"8iTKy8vR3NyMXbt2wcvLC9HR0QCARYsWISoqyuD10tLSsHv3bgD3qnQWFBTgww8/1Gt3+vRpnD59\n",
"Wvy/l5cXdu3a1WE/FQoFEhMTkZmZierqatjb22PEiBF45plnMGHChK6/AB0YOHCgeFtY62VIRUUF\n",
"jh07hkuXLqG2thb9+/fHkCFD8NhjjyEyMhL29vZi2/Pnz+OTTz4BAGzduhVDhw7Vu5ZGo0FMTAwU\n",
"CgX8/f3x6aefGnzM2NhY1NbWYsWKFXjyySf17p+RkYH09HRcv34dt2/fhrOzMwYPHozQ0FDMnj0b\n",
"Tk5OetfSjU18fDxGjx6NH374ASkpKaisrERLS0u7aquVlZVISEjAxYsX0dDQADc3N4wePRoLFy60\n",
"yIhbTk4O0tLSUFxcDLlcDgcHB/j5+SE0NBRPPfUUHB0d9drrvocFu3fvFt+HQNcLHFVVVSEvLw8A\n",
"MGfOHAwZMgS+vr749ddfkZ6ejj/+8Y8dJprmvLZtK6Tm5eXh6NGjuH79Opqbm+Ht7Y1p06bhueee\n",
"Ex/vypUr+P7771FSUgKVSoXAwEDMnz8fU6dONft5EhEJmPwREdkIrVZrUhVROzs7s65rZ2cnFlbp\n",
"qBiNsZGampoafPjhh+KUPqB1OualS5dw6dIlrFy5Eo8//rhZfepMeXm5eNvX19dgm6SkJOzdu1fv\n",
"OanVapSUlKCkpASpqalYv349PDw8AADjxo2DRCKBRqNBQUFBu+SvuLgYCoUCAHDz5k1UVVW1W2t4\n",
"8+ZN1NbWAoBe0tvY2IgtW7aguLhYr31jYyMaGxtRUlKCH374AfHx8fDz8zP4fFQqFT7++GNcvHix\n",
"w9clKysL27Zt0yugUltbi7NnzyIrKwubNm3q8L6dUSqV2LlzJ37++We94wqFAjKZDDKZDCdOnMDa\n",
"tWsRFBQknjf0/rKzs9N7n3a1wFFycjIAYMyYMRgyZAgA4IknnsA333yDpqYmZGdnm5RsmfLaCpKS\n",
"kvDVV1/pHbt58yYOHTqEsrIyvPPOO/jxxx/x5Zdf6k3xLikpwaeffoqYmBjMnj3bnKdJRCRi8kdE\n",
"ZCP+97//obKyEi+88AIiIyPh7OyM8vLybpe0DwkJwbfffgsA+OCDD8SCL6aOxHzyySdQKBR44403\n",
"EBoaCo1Gg5ycHOzduxdNTU3Yt28fZsyYoTfK1h3Nzc1ISEgA0JpEzJw5s12blJQU8Qv65MmT8cIL\n",
"L2DIkCGQy+VISUlBQkICfvnlF+zatQsbN24EADg5OWHUqFG4cuUKCgsL2xUMEUaYBNnZ2Zg7d67e\n",
"MSF58PPzEwvVaLVa/P3vf0dxcTEkEgmWLFmC8PBwuLu74/bt28jKysKXX36J+vp67N27Fxs2bDD4\n",
"vP/zn//g1q1bWLZsGcLDw2Fvb49r166J52/evCkmfh4eHnj11VcxadIkSCQSFBcXY9++fdixY0eX\n",
"K2vqJn5hYWF4/vnnMXToUDQ1NSEjIwMHDhxAXV0dNm/ejL/97W/i8/f29hbfX8LodGxsLCIiIrrU\n",
"D4FarRands6ZM0c8PmvWLBw4cEA8b0ry19lrKygvL8dPP/2EoKAgLFu2DCNGjEB5eTm2b9+O8vJy\n",
"nDt3Dt988w2OHTuGcePG4ZVXXoG/vz+KioqwY8cO1NbW4tChQ0z+iKjLuOaPiMhGVFRU4LXXXsMf\n",
"/vAHuLq6ol+/fggMDGw3za6nlZWVIS4uDuHh4XB0dMSAAQMwY8YMvPjiiwBaR4auXLnSpWvrjpwo\n",
"FApkZ2dj48aN4hfzBQsW6I0yAa0jXULiFxoairVr12LYsGGQSqXw8PDAokWLxGmI+fn5el/yx48f\n",
"DwC4fPlyu75cuHABADBq1CgArdMf2xKSP+E6wrWKiooAtI5KPfvss3B3dwcAODs7IyIiAvPmzQMA\n",
"XL9+vcPXoqKiAu+88w7mzJmDAQMGQCqVin0BgP3790OtVsPJyQnvv/8+wsLCYG9vD6lUipCQEHzw\n",
"wQcAWvfEM1dOTo6Y+M2ZMwdr1qxBYGAgJBIJXF1d8fTTT2PDhg3o168fmpqa8PXXX5v9GObKzMxE\n",
"Y2MjPD099SrTPvTQQ+L/L1y4YNLz7ey1FVy9ehWDBg3C+++/j5EjR0IikSAgIAArVqwQ2xw9ehTB\n",
"wcGIi4vD0KFDIZFIEBwcjGXLlgFo3eRed+SaiMgcTP6IiGyEl5dXnxwxiIyMxIgRI9odHzNmjHi7\n",
"oqKiS9d+8803sXjxYkRHR+O1117Dli1bcP36ddjb2+Oll17CkiVL2t0nKSkJarUaUqkUK1euNHjd\n",
"sLAwcZqgkNQB95I2uVyOsrIy8bhcLse1a9cgkUjw8ssvAwAKCwuhVCrFNi0tLSgsLNS7DgD4+/sj\n",
"Pj4e8fHxWLRokcH+DBo0CABw+/btDl+L0aNHd7h+sqGhQdxGYd68eQanwjo4OHT4+J0RiqoMHDgQ\n",
"r7zyisE2Dz/8sDgCd/78ecjl8i49lrl9evLJJ9tNGxXWWmo0Gr21qx0x9tq2tXz58nZrM3/3u9+J\n",
"01glEgliY2Pb9Un3M9LdTe2JyHYx+SMishETJ07s7S4YFBYWZvC4MLoFQFwrZy6tVttua4zg4GBs\n",
"374dzz77rMH7XLp0CUDrdM+HHnqow2sLa/p0R2GCgoLEabRCIgfcG9EbNWoURo0aBS8vL6jVar01\n",
"YiUlJVAqlejfv79e4uvm5oaQkBCEhIToFaoRaDQaMenTXZ/Y1uTJkzs8p7uW0Nj+jF15D2m1WnHk\n",
"MjQ01Oj6z8cee6zdfayhrKwMRUVFkEqlekV1BGPHjsXgwYMBtBY56oyx11aXh4cHQkJC2h2XSqXi\n",
"+6ajfSd1p2d39fNARMQ1f0RENsLf37+3u2BQ28IoAt01fsaSGmOESqYqlQofffQRioqKcPnyZSQm\n",
"JmLp0qUG7/Prr78CAM6dOyeuMTOmqalJvG1nZ4dHHnkEZ8+eRUFBgbjuT1jvJ4zoTZw4EcnJycjO\n",
"zsajjz4K4F6COHr0aKPrG5VKJfLy8lBYWIji4mL88ssvJq3D66gQDABUV1eLt4WkxxBnZ2c4Ozsb\n",
"HWFs686dO2Ky0tl7UBhNBYBbt26Z/BjmEkb9wsLC4OrqarDN73//e3z77beoqKhAcXGxwWmcAmOv\n",
"ra7AwMAOzwkx76hN//79xdvGKtQSERnD5I+IyEa0nWrWFV1NwoxxdnY2eNzcqqPG2NvbY926ddi4\n",
"cSPKy8tx/PhxTJkyBWPHjm3X9s6dO+Ljm9KHtl/Ex48fj7Nnz4rrFLVarZjYCVMDJ02ahOTkZOTm\n",
"5or3M7TeT1dFRQUSEhKQmZkJlUoFAOjXrx+CgoLg4OCA/Px8o/00Fn/d6acODg5Gr+Pg4GBW8qd7\n",
"7c7Wl+o+thAHS1MqlUhPTwcAZGRkICMjo9P7pKWlGU3+TP1sGSuuJLzXeuLzQES2i8kfEZGNMPXL\n",
"o7EET3eU634zYMAAxMTEiNsVHDx40GDy5+joCIVCgZiYGERGRpr9OG3X/Wk0GjQ0NMDV1VUsLjN2\n",
"7FhIpVI0NDRAJpPBz88PMplM7/66Tp06ha+++gotLS1wcHBAeHg4Hn30UTzyyCNwdHREWlpap8mf\n",
"sfjrjjTeuXMHAwYM6LCtuVMOdROjzu6rm/AZ60N3nDlzRi8hNcXZs2exdOnSDkdkTf1smbIlRb9+\n",
"/czqGxGROZj8ERERAIh71N29e7fDNqWlpUavIXwJ7qvT0kJCQhAWFobMzEwUFxcjNze33Tq2wYMH\n",
"49q1a+L0T3O5u7sjICAAZWVlKCgoEF/PRx55RGxjb2+PMWPG4MKFC8jJyUFtbS20Wq14X12VlZX4\n",
"4osvoNVqMWzYMKxfvx5ubm56bbqblAvbKgCtWz6MHDnSYLu6ujqzEycnJye4ubmhoaGh0/eP7nlj\n",
"00+7Q9jbLzo6Gk888YTRtgUFBdi+fTvu3LmDzMxMg9uCEBHdT1jwhYiIANwbaamsrDR4XtgqwRhh\n",
"lKcr2wH0lOjoaDFJFfaP0zVu3DgArVsBGFtLp9Fo0NLS0q6gDHBv9K6goECsBtp2RE9IOrOzs8Up\n",
"n7oJoiAvL098jFdffbVd4gfoVxztiocffli8nZWV1WG7thu0m0p4TbOysoxO5zxz5gyA1uRYt0+W\n",
"cuXKFZSVlUEqlSIyMhJubm5G/02dOlWcqmlK4Rcior6OyR8REQG4V3glPz+/3ZourVaLr776qtNR\n",
"H6HwxdWrV42OIPYmPz8/zJgxAwBw48YN/PTTT3rnIyMjIZFIcOvWLXG/v7aam5sRGxuLF198Efv2\n",
"7Wt3Xjf5Kyoqgp2dXbutAITkr7S0FOfPnwcAg9sF6L6Ohiplnj17Vq9qqLAe0Bzu7u5i4nnixAmD\n",
"fwCQy+U4cuSI2dcGIO5DqFAo8K9//ctgm5ycHHFbhZkzZ1pl/0mh0EtnlVwF/fr1E6vRFhQU6BXG\n",
"ISK6HzH5IyIiAPe2XFAqldi8eTOuXbsGtVqNsrIybN26FRkZGUaLXgDA1KlTAbSu3dq6dSvKy8uh\n",
"Uqkgk8n0EpTeFhUVJa6/+u677/TWOXp7e4tVPlNSUrB582ZcvnwZKpUKKpUKJSUl+Oijj1BfXw87\n",
"OztxewJdwcHBsLe3h0KhQEtLC4YNG9auquTgwYPFqY0NDQ2QSCQGR/50X/Pdu3ejuLgYLS0tqK6u\n",
"xv79+/H555/rVZvs6jYAL7/8MqRSKZRKJeLj43H27FkolUqoVCrk5ORg48aN8PT0hIeHh9nXDgoK\n",
"wsKFCwG0Jqt//etfce3aNbS0tKChoQHff/89PvnkEwCt2yEY2n+xu+RyOc6dOwcAnU731CX8oQDg\n",
"6B8R3f+45o+IiAC0bmwtTEG8evUq4uLixHN2dnaIioqCl5eX3p5wbY0cORKRkZFITk7GxYsX8e67\n",
"74rnIiIiDCY3vWHQoEGIiIhAamoqKisrcerUKb3iLs899xyUSiUSEhJw8eJFg4mrRCLBkiVLDK6P\n",
"k0qlCAkJabfFQ1sTJ07E8ePHAejvEagrODhYXKdYUVGBjRs36j1OTEwM3N3dsWXLFgCt03YN7QfY\n",
"mYCAAKxZswafffYZ6uvrsX37dr3znp6eWLNmDeLj482+NgAsXrwYLS0tSExMRG5url6lU8GgQYMQ\n",
"FxdntCpmV6WmpkKtVsPLy6vDeBgSHBwMT09P3Lp1C6dPn0ZUVJTF+0ZE1FOY/BER3WesVfJdKpUi\n",
"Li4OycnJSE1Nxc2bN2Fvb4+RI0di/vz5GDNmjEkjHzExMRg0aBDS0tLw22+/QSKRwNvbW28Ey5pl\n",
"60299qJFi5Ceng61Wo0jR45g1qxZenupLV68GGFhYThx4gQKCgrEdYweHh4IDg7G7Nmzxeqdhowf\n",
"P15M/gxN5wRat3wQkj9jCclbb72F4cOHIzU1FTU1NXBxcUFISAgWLlyIgIAAVFRUiG1v3LiB0aNH\n",
"m/VaCKZMmYKtW7fiyJEjuHTpEhobG+Hu7o5HH30Uzz33nElTJY156aWXMHXqVJw4cQKXL19GfX09\n",
"HBwc4O/vj7CwMMyePVsvBpai1Wrx448/AgBmzZpl9v2nT5+OxMREVFdXIz8/H2PHjuXWC0R0X7LT\n",
"GlqpTkRERERERA8UrvkjIiIiIiKyAUz+iIiIiIiIbACTPyIiIiIiIhvA5I+IiIiIiMgGMPkjIiIi\n",
"IiKyAUz+iIiIiIiIbACTPyIiIiIiIhvA5I+IiIiIiMgGMPkjIiIiIiKyAUz+iIiIiIiIbACTPyIi\n",
"IiIiIhvA5I+IiIiIiMgGMPkjIiIiIiKyAUz+iIiIiIiIbACTPyIiIiIiIhvA5I+IiIiIiMgGMPkj\n",
"IiIiIiKyAUz+iIiIiIiIbACTPyIiIiIiIhvA5I+IiIiIiMgG/D8u7AH1WG0xYQAAAABJRU5ErkJg\n",
"gg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11dfa8dd0>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 447
}
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(armrewards1, pulled_count1)\n",
"plt.title(u'Pull counts of Thompson Sampling')\n",
"plt.xlabel('Truth Reward of Arm')\n",
"plt.ylabel('Count')"
]
},
{
"cell_type": "code",
"execution_count": 202,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11df64b50>"
]
},
"execution_count": 202,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA38AAAKTCAYAAACpRrHCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3XlYVOX/P/7nGWZYFQHBAFEBExMVl1xSygUUjVxCccvK\n",
"NXtrmVlW9k1T2yzbzD6+cyu33NKy7KMkKrglLoVLioYbBuKGpsjOMPfvD35zPjPMzo7zfFwX1zXM\n",
"uc899zn3OWfmde773LckhBAgIiIiIiKiB5qipgtAREREREREVY/BHxERERERkR1g8EdERERERGQH\n",
"GPwRERERERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERERERHZAQZ/RERERERE\n",
"doDBHxERERERkR1g8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERE\n",
"RGQHGPwRERERERHZAWVNF4CIiAC1Wo0DBw7g7Nmz6NmzJ1q3bl3TRSIiIqIHDFv+yO7NnTsXCoUC\n",
"CoUC8+bNM1iuXaZQ8HShyldSUoKFCxeiSZMmiIyMxMsvv4y2bdsiICCgpovGY5+qVEFBAb777jvE\n",
"xsYiODgY7u7uUKlU8PLywqOPPoqXX34Zx44dq+li1no8T+uWVatWyfU1bty4mi4O2SFeKaha9erV\n",
"S++LSvdPpVKhQYMGCAoKQmRkJGbNmoXTp09Xa/kkSSrXMqLyUKvVGDRoEF577TXcuHFDb9m1a9es\n",
"ymPv3r0mz6ny/O3bt8/gM3jsU2WLj49HcHAwJk6ciJ9++glpaWnIyclBSUkJ7t69i+PHj+O///0v\n",
"unbtismTJ0Oj0dR0kWs9Y+eppZubZF5VB9a8tlJNYLdPqjVKSkpw//593L9/H1euXEFiYiLmz5+P\n",
"GTNm4JNPPqnp4hFVus8//xxxcXEAgAYNGmD06NFo3bo1lEolcnNzbcpLkiQIISpUHkmS+GOEqty2\n",
"bdswZMgQOaALCAhAbGwsWrRoAQBIT09HXFwcTp48CQBYunQp/Pz88O6779ZYmesq7fnMc7tiuO/o\n",
"QcLgj2rMoEGDMGjQIPl/tVqNO3fu4K+//kJcXBzu3r0LIQQ+/fRTuLm58YvfTowdOxZr1qwBACQm\n",
"JqJnz541XKKq88033wAAlEolDhw4gDZt2ticxyOPPILly5eb/HEihMALL7wg///JJ5+gYcOGJvML\n",
"CQmxuQxE1srKysKYMWPkwO/FF1/EokWLoFKp9NJ99NFHmDx5MpYuXQoA+J//+R/Mnj2bP8JtNGjQ\n",
"IAQEBECSJHTs2LGmi1PnmLu2atnLd1avXr2wf/9+AEBaWhqaNm1awyWi8mLwRzWmY8eOGD9+vNFl\n",
"ubm5ePHFF7F+/XoAwPz58zF58mT4+PhUZxGpBj3od6qvXbuGf/75BwDw2GOPlSvwAwBfX19MmDDB\n",
"bBpt8CdJEkaMGMEvbaoxS5cuxb179wAAwcHBWLx4sckudVOnTsXhw4fl60B2djYaNGhQbWV9EHTo\n",
"0AEdOnSo6WLUWZaurboe9O8sLXvYxgcdn/mjWsnNzQ3Lli2Dh4cHAKCwsBDbt2+v4VJRdapoF8ba\n",
"7urVq/LrwMDAmisIUTXavXu3/Do6Otrss1ShoaE4fvw4kpOTkZyczMCParUH/TuLHhwM/qjWcnV1\n",
"xWOPPSb///fff9dgaagmPMhfprrP9Dk4ONRgSYiqT2Zmpvy6fv36NVgSosr3IH9n6bKX7XxQMfij\n",
"Ws3Ly0t+/e+//8qvbR0qOTAwsFYMhZ2VlYUPP/wQPXr0gK+vLxwdHeHh4YH27dtj+vTpOH/+vFX5\n",
"/P3333jzzTfx6KOPwtvbG05OTvD390dUVBS+/vpr5Ofnm13flhHMdEeLW716td6ytLQ0eVlQUJD8\n",
"/t69ezF8+HAEBgbCyckJ3t7eiIqKkrvxljV27Fg5H+2zEwDQu3dvg9Eoy5ZB6/79+1i4cCF69+4N\n",
"Hx8fqFQq1KtXDw8//DCeeeYZo6NYltcff/yBqVOnom3btvD09ISzszOaNGmCwYMHY9WqVSgpKTG5\n",
"rnbE2969e8vvrV692mA7dZfXJsnJyRg3bhwefvhhODs7w9PTEz169MA333wDtVptVR4JCQmYOHEi\n",
"WrZsCXd3d7i4uCAwMBAjR47Ejz/+aHF9Y8fvtm3bMGDAAPj7+8PZ2RlBQUEYMmQIEhIS9NYVQmDz\n",
"5s2IjIxEo0aN4OrqirCwMMyfPx8FBQVGP0/3+NQefzk5Ofjss8/QpUsXuLq6wt3dHe3bt8e7776L\n",
"O3fuWNwGbTmefvppBAQEwMnJCS4uLmjcuDGio6OxevVqq35g/fvvv1iwYAF69+4NPz8/ODk5wcfH\n",
"B127dsXs2bP1WpiNMTYaZF5eHhYvXoxu3brB29sbzs7OaN68OSZMmICUlBSLZTKnXr168uujR49W\n",
"KC9d+/btw9ixYxESEoJ69erB1dUVQUFBeOqpp7BixQqzAyjpfj9ou2Lv379f7iKtPb/79++Pn376\n",
"yWD9+Ph4DBw4EP7+/nBxcUHLli0xc+ZMuXtrWcb2eVFREZYtW4YePXrA3d0dbm5uCA0Nxeuvv470\n",
"9PRy7xdrR/sUQmDjxo0YOHCgfBz5+/sjOjoaK1eulI9Fc98d1XUsTZw40eL3AQDMmjVLTmfpObxR\n",
"o0bJaXVHXja1vZXxnaWrpKQEa9asQUREBHx9feHk5IQmTZpg1KhROHz4sMX1rXHkyBGMHz8eISEh\n",
"cHNzg6OjI7y9vfH444/jo48+wv379w3W0R2hXfu8nxACQUFBVo0UrSWEwNatWzF69Gg0b94cbm5u\n",
"qFevHkJCQjB+/Hi9HgHGGPvNp9FosGnTJvTr1w9eXl5wcXHBww8/jMmTJ1f4OvXAE0TVqGfPnkKS\n",
"JCFJkpg3b57F9NHR0XL6t99+W35/5cqV8vvjxo2zmE9gYKCQJEkoFAqDZXPmzDFbJu0yY+vaYtWq\n",
"VaJ+/fpyfsb+VCqVWLhwock81Gq1mDFjhlAqlWbz8ff3F7t27TKZjy3bpN0/CoVCrF69Wm/Z5cuX\n",
"5byCgoJESUmJmDZtmtmyDRs2zOAzxo4da3Yd3fKWLYMQQvz555+iWbNmFtd///33LW6vOXl5eeL5\n",
"55+3+DkhISHi+PHjRvPo1auXVdvau3fvCpVVl+7+u3LlSrnWE0KITz75RDg4OJgs8+OPPy4KCgpM\n",
"5peVlSX69+9vcds7d+4s0tLSrC7X66+/bja/r776SgghRG5urhg6dKjJdI8++qi4e/euweeNGTNG\n",
"7/g7efKkaNy4scl8fHx8RGJiotn9YM1xMGDAAFFYWGgyn++//154eHiYzcPFxUV89tlnJvMoe/27\n",
"dOmSCAsLM5mfk5OT2LJli8n8LJk0aZJefnv27Cl3XkIIcffuXRETE2NxXzZu3NjkZ+l+P6SlpYmF\n",
"CxcKhUJhMq/XXntNCFF6PX755ZdNpgsKChL//POPweeV3efp6ekiNDTUZD716tUTGzduNLkPyp4P\n",
"5j7LmBs3bojw8HCz+2/UqFFCo9HY9FlVdSxt3rxZzmPs2LEm03Xq1ElOp1KpxL///ms0nUajET4+\n",
"PkKSJNGhQwe9Zaa2tyLfWWV/v9y6dcvs9UChUMjXsPIoKSkRr7zyisWyPvzwwwbfD9Z+XykUCrFv\n",
"3z6jn3/58mXRuXNni3n0799f3L5922geZffZvXv3xBNPPGEyL0dHR/Hll1+We5896DjgC9VaxcXF\n",
"OHLkiPx/aGhoufMSNdxFYcWKFZg0aZL8f2BgIGJjYxEUFIScnBycPn0aP/74I/Ly8jB9+nQolUq8\n",
"9NJLenkIIQxaRh577DFER0ejYcOGOH/+PDZt2oRr167h2rVriI6OxubNmzF48OBK2QZL+1AIgVmz\n",
"ZmHRokXw8PDAqFGj0Lp1a2RnZ+Onn37CH3/8AQDYsmULVqxYgYkTJ8rrjh8/Hk888QSEEFi5ciUO\n",
"HToEAHjjjTfQsmVLvc/p3r273v8XL15EREQEsrOzAQBNmzbF8OHD0bRpU9y/fx+HDh1CXFwcNBoN\n",
"3n33XXTp0gVRUVE2b39hYSH69OmDpKQkAKUPvffp0wcRERGoV68ezpw5g02bNuHff//F+fPn0aNH\n",
"D+zatQtdu3bVy+eNN97Ac889h3PnzuGzzz4DAISHhxu0YPv5+dlcxqoihMCyZcswc+ZMuLi4YMSI\n",
"EejYsSMKCwsRFxcnt679/vvveP/99/HBBx8Y5HHnzh1069YNFy5cAFA6wunAgQPRvXt3ODo64s8/\n",
"/8SWLVuQl5eHP/74A127dsWhQ4cQHBxstlzLly/HF198AZVKhREjRqBLly64ceMGli9fjps3bwIo\n",
"3ef9+vXDrFmz8NNPPyEgIADPPfccGjdujIMHD2Ljxo0ASls1FyxYgA8//NDk5927dw8DBw5EZmYm\n",
"OnTogKFDh8LT0xOXLl3Cli1bcOXKFWRlZeGpp57C/v378eijj+rlUVRUhKioKBw/fhxAadfHkSNH\n",
"4pFHHgEA/PXXX9i8eTNyc3Oxfft2zJ07Fx999JFBWb7++mtMmzZN/j8oKAixsbEIDAzEzZs3sXXr\n",
"Vpw6dQoFBQV44403cP36dXz66acm9yVQOqDKk08+idTUVISFhWHo0KHw8fHB+fPnsXr1aty5cwdF\n",
"RUWYMGECevfurdczw1ovvPACli9fLv8/ZMgQLFiwQG7NsUVeXh4iIyORnJwMAHB3d8eoUaMQEhIC\n",
"Z2dnXL58GZs3b8aVK1eQmZmJIUOG4PTp0wgICNDLR/fatnPnTkyfPh2SJGHw4MHo3bs37t+/j+++\n",
"+w6XL18GAHz55ZcYMGAAtm/fjsWLF8PLywvPP/88Hn74YZw6dQrfffcd1Go10tLSMHPmTKxbt87k\n",
"NhQXFyMmJgZnz55FSEgIRowYAT8/P2RkZODnn39GSkoKcnNzMXr0aLi6umLgwIE27SNr9mGPHj2Q\n",
"mpoKoPS6Fh0djd69e8vn5Q8//ICNGzfaNChVVR5Lffr0gYODA0pKSrB3716jabKysuTjAigdTTwu\n",
"Lg6jRo0ySHvixAlkZWUBAPr162dVGSrynaWruLgYQ4YMwcGDB9G8eXOMGDECAQEBSE9Px9q1a5GR\n",
"kQEhBGbMmIGoqCj5OmGLadOmYfHixQBKHzEYNGgQOnXqBHd3d1y6dAmbNm1CZmYmLl68iJEjR8rb\n",
"ot2e5557Th55XXucGBs12thI0RcvXkT37t1x69YtAICLiwuGDBmCTp06QQiBQ4cO4eeff4ZarcbO\n",
"nTvRvXt3JCUlwdPT0+T2CCEwZswYHDx4EI0bN8bo0aPl696OHTtw9OhRFBcX47XXXoOjoyOmTJli\n",
"8z574NVExEn2y5aWv2+//VZO6+zsLLKysuRltrb8aVuFaqLl759//hH16tXTK6+xu/lnzpwRrq6u\n",
"QpIk4e7uLvLz8/WWf/nll3p3TNeuXWuQR05Ojhg+fLiczsPDw2hLjy3bpLt/zLX8OTk5CYVCIcLC\n",
"wsS1a9cM8pk4caKctmPHjiY/T9vKIkmSyTuJuoYNGyanHzlypFCr1QZp1qxZI2/vM888YzFPY3Rb\n",
"ND08PIy2rN68eVPvTmlgYKDIzs42mt/evXttOoYrQre+y9Pypz0HAwICxLlz5wzSvffee3I6Hx8f\n",
"UVJSYpBm8ODBcpqAgACRnJxskObSpUuiTZs2crpOnToZzUu3XA0aNBCenp7i8OHDemnS09OFt7e3\n",
"nK5JkyZCkiQRFRVlUCcrVqyQ04WEhBh8nu4x2bRpU5PXisLCQjF+/Hg5bZs2bQyOx8WLF8vLQ0ND\n",
"xc2bN43uB5VKJRQKhfD39zdYfvToUaFSqeR8Xn31VVFcXGyQbsGCBXr76pdffjFIo3t+Ozs7C0mS\n",
"xJtvvmmQLjMzUwQEBMhpFy1aZJDGWsZaIR555BGxdu1ao/VtyptvvqlXL8b2ZX5+vujevbvZcuv2\n",
"GmjQoIFwcnIy2Ff37t0TISEhBsdT+/btxfXr1/XSxsfHyy3k9erVM6gb3X2uPZ4mTZpkkE6j0YjZ\n",
"s2fLaX19fY22TJu7nlv6fpsxY4a83NXVVcTFxRmkuXz5smjbtq1wcnKy+rOq+ljq1q2bXI7Lly8b\n",
"LF+3bp1eK5AkSSav/Z988omctmyLvTXflbZ+Z+n+ftHup2effVYUFRXppcvOzhYdOnSQ02pbnG1x\n",
"+vRpef369euLpKQkgzT5+fmidevW8nampqYazUv7+83a7xG1Wi0effRRvevhpUuXDNIdP35crydF\n",
"TEyMQRrdfaY9ZwYOHChycnIM0i5ZskRuuXd1dTX6mfaOwR9VK2uDv6NHjwpPT0+TF726FPzp/kAJ\n",
"Dw8XGo3GZNpRo0YJX19f4efnJ06dOiW/n5eXJxo2bCjns3LlSpN5lJSUiN69e8tpX3rppQptk7XB\n",
"nzYoMvWlkJGRIadTKpUiNzfXaDpbv0gbNGggb0tmZqbRNMXFxeLvv/8Wf//9t8jIyLCYp7Gya39s\n",
"Ozg4mO2qlpubK1q1aiVvw6effmo0XWJiok3HcEXo1nd5gz9HR0dx7Ngxo+kKCwvlGxwKhUKkpKTo\n",
"LT9y5Iicj5ubm8FyXdevXxeNGjWS02/evNlsuRQKhdEfrEIIMXXqVL20LVq0MHncaX98KBQKg+BQ\n",
"95iUJEm88MILJstfUlKi19WtbBChGwSvX7/eZD6XLl0Sf//9t9EfYk8++aScx5gxY0zmIYQQ7777\n",
"rt6Pr7J0z29JksTTTz9tMq8PP/xQTjd8+HCzn2uOWq0WI0eONAgAJam0q+SiRYtEXl6exXx06+yb\n",
"b74xmU43EJg+fbrB8rJdxpcsWWI0n88//1wvnbe3t8lrjjbgVCgU4uTJk3rLyu7zfv36md1O3ccf\n",
"jHX/K2/wl5OTI9zd3eXlK1asMFmGjIwMvbSWPquqj6W5c+fK63/33XcGy5977jkhSaWPQIwYMUJI\n",
"kiS8vLyM3lzo06ePHByVDcCrOviTpNJu7sZuWgqhf+x26dLFYt5l6d40njRpksl0165dk78jy954\n",
"1rI1+Nu0aZP82b6+vuLGjRsm0545c0a4uLjI6ct+15TdZ2FhYWa7xE+ZMsXsOW/vOOAL1Rih09Um\n",
"JycH//zzD3755ReMGzcOjz/+OO7evQsA6Ny5s9FuZHWFbpefjz76yOwcOevXr8e1a9eQmZmJtm3b\n",
"yu9v3bpVHkSic+fOGDt2rMk8FAoFvv76a/n/1atXWz0QR0VNnTrV5BxyjRs3hq+vL4DSB7W1Xagq\n",
"Sju4ihBC70F9XUqlEiEhIQgJCUHjxo1t/gzdfThkyBBERESYTOvq6qrXvU63i1tdNmLECHTq1Mno\n",
"MkdHR/l4FULg0qVLestXrFghv54yZQpatWpl8nMeeughvPvuu/L/lvbfwIED0b9/f6PL2rVrp/f/\n",
"ggUL4OrqajStbpm0g34Y4+LiggULFphcrlAo8PLLL8v/b9iwQW+57mBApo5XoLQbZ0hICFq0aKH3\n",
"/tWrV/Hbb78BAJydnfHFF1+YzAMAZs+eLZ93Z86ckbstmyq7tiuyMbr1X7aObeHg4IANGzZg0aJF\n",
"BtM3pKWlYdq0aWjevDkWL14sTwZvzLZt2/DHH3/g2LFjGD16tMl0/v7+8uucnByzZWvXrh1efPFF\n",
"k8t0vfPOOya7Z2sfUxBCmB2wRZIkLFy40GyZXn31Vfl12eOpIuLj4+VBPlq2bGl2TrvGjRvrddW3\n",
"pKqPJd3umWW7fgohEB8fDwCIiorCU089BQC4e/cufv/9d720BQUFOHjwIIDSwU2Uyup/Gurjjz82\n",
"OeKzbrfx8uwna683vr6+8neks7OzzZ9jjO51f/bs2WjUqJHJtKGhoXqPuli67i9YsACOjo4ml1fV\n",
"OfOgYPBHNWbevHny6E3u7u4IDAxETEwMVq9ejeLiYgBA//79ERcXBxcXlxoubfmkp6fLQ5t7e3uj\n",
"R48e5cpHO8oWAKPPLJTVunVr+fmMvLw8vWcfqtLw4cPNLtf+UBJCyM/oVVSvXr3k10OGDMHWrVvN\n",
"/mAsD939/8wzz1hMHx0dLf+ovXDhgvzsWV1mbd0CMKhb7f6TJMmq/ad7jB8+fNhsfZr70f/QQw/J\n",
"r93d3TFo0CCTabXPmAghjI56p9W3b195/lFT+vTpI7/WfW4Z0D9e33nnHSxcuNDs55V14MAB+XVU\n",
"VJTFZ6WUSiViY2ONrl9W+/bt0bx5c5PLzdVxebz88ss4f/48/t//+38G23H9+nVMnToVHTt2NDly\n",
"X8eOHeU/a6eNsHQjzNzxqXs8SZJk9tjTfWbJXP22bdvW4nNcPXv2lIOSEydOVNrNvGPHjsmvY2Ji\n",
"LKZ/+umnrc67qo+lLl26yOdh2eDv5MmT8jW3f//+8s0hIQT+93//Vy/tgQMHUFhYCMD65/0qU8OG\n",
"Dc3eTNS9cVGe/aQ7yum2bdswZcqUCo0eay21Wi0/OyhJklW/W3TTmLtOeXp6WqyrFi1aoEmTJgCA\n",
"mzdvmr2hZ48Y/FGtIkkSlEolHn/8cfzwww/YsWNHuQYVqC105yYse9fYFro/fsoOIGGKNp0QolqG\n",
"PXZ0dETr1q3NptFtddEG+BW1YMECuLu7AyhtNRg6dCgCAgIwZcoU7NixA3l5eRX+DO3+kyTJqv0v\n",
"SRLat28PoHT/nzlzpsJlqEm622OKqbotKSmRBwlQqVR6LdqmeHl5oVmzZgD+r1eAqXKZao0EoHcH\n",
"u127dmYHFHFycjJa/rI6duxocplWs2bNoFKpAABXrlzRu/s+efJkhIWFAQDy8/Px2muvwc/PD8OH\n",
"D8f3339v9u48ULFrQdn1yypvHVeEt7c3PvjgA6Snp+O///2vwWAZp06dQteuXQ1abMwpLi5GUlIS\n",
"Fi5ciPHjx+u1xFpi7fEUEBAAHx8fk2kr83hydHREYGAggNIBg65cuWJxHWvotiRpj0lzbBl0raqP\n",
"JYVCId9kycjI0NsWbcu4g4MDoqKi4OPjI9dr2eBv165dAEqvJTUR/Fn6XaC7n8oT9Hfq1EmvxXbJ\n",
"kiUICgpC7969sWjRoiqbP/mff/6Rv3sDAwPNDuCi1bZtW/kmR2pqqslB5qz9LaW9lgghrJ5Gy14w\n",
"+KMaM2jQIKxYsQIrVqzAd999hx9//BH79u3Dv//+i/379+vdra6rdOcm9Pb2Lnc+2i6fkiSZ7Tqh\n",
"S/eHiW45qoqnp6fZLq1A1Uxm3qpVKxw4cEDvx8b169exZMkSDBgwAF5eXoiJicGePXvK/Rm687aV\n",
"Z/9ruzDXZeZ+6AKm61b32PP09LT6GLD2+NV2aTRGtwuXuXSAfvlN/egArKt/hUKh151Rt/5dXV2R\n",
"mJiIoUOHyu/l5eVhy5YteP755+Hv74/u3btj5cqVRn/sVfRYNLcvy1vHlcHFxQX/+c9/kJKSgg0b\n",
"Nui1GuXm5mLYsGFmWz5yc3Oxbt06DBw4EJ6enggPD8drr72GVatWWX3zS5KkWnk8AZBbuYQQlXY9\n",
"0c2n7MiNxpTtomtOdRxL2mBNCIHExET5/Z07dwIoDXy0QUd0dDQA4Ny5c3qPHGi7hwYGBuLhhx+u\n",
"cJlsVR37aenSpZg9e7bcTVKj0WDfvn149dVX0apVK7Ro0QLvv/++VfOTWqs81ymVSmXVcW7rOQM8\n",
"GN/BlYnBH9WYjh07Yvz48Rg/fjzGjh2LmJgYPP7443Bzc6v0z9J266huunc0K/IsQVFRkc35aFse\n",
"yq5vK2v3XU12zW3bti3+/PNP/Pjjj+jfv7/ePioqKsIvv/yCvn37YsiQIeVqCazJ/V9b6LZk2KI8\n",
"+w74v/0nhDC7/6w97irrumLuORNT6cq2bHh6emLz5s04evQoxowZI7dcA6Xbe/jwYUyYMAHt27eX\n",
"p8bQqspjsTZ0r5ckCSNGjMCZM2f0hmi/fv06vv32W4P0RUVFmD9/Ppo1a4bnnnsO27dvR15eHiRJ\n",
"QqtWrfDKK69g9uzZVn++tcdJbTqeqkt+fr7VaavjWNJ91lfb9TMnJ0duJdZtydMGf7pdP2/evIlT\n",
"p04ZpK1O1bGfJEnCvHnzcOHCBbz11ltyd0itixcvYs6cOQgJCcH27dsr5TMret0vm4euunTO1FYM\n",
"/qjOs/R8V2XeKbWV7p3Se/fulTsf7V1ZW7albItLeVVHq2FlkCQJMTEx2LFjB65fv44VK1agd+/e\n",
"eq2RP//8s95gItbSvSte3fu/rtPttm3Leajdf5Ik1ar9Z+3zeboDi5hqMenUqRNWrlyJGzdu4Oef\n",
"f8aoUaP0fgympKQYPINWnv1ZF49FR0dHfP311+jSpYv8nrZFR+v+/fsIDw/HO++8gzt37kCSJHTt\n",
"2hVfffUV0tLScObMGSxcuBC9e/eu7uJbzdbjSZIkm1rgzNG9rlnT6nP9+vVK+dzK0rhxY7krqjb4\n",
"S0hIgFqthiRJesFh586d5d432uBv9+7d8nJTg0Y9SAICAjB//nxcuXIFv//+O1599VW951jv3LmD\n",
"kSNHWux6bo3yXvd105q6VlXmNdheMfijOkm3K4SllpyLFy/WWMuf7mTCFXnuTncEzdOnT1u1ju5z\n",
"Ztrnp7R0AyJL+8/az6ssumUr7906Ly8vjB8/Hnv27EFqaqpeF7vFixfbdAcb+L/9L4Swef9LkmSw\n",
"/+2Js7Oz3LUpLy/PqueVCgsL5RYvhUJRrhFaq4r2+UVzsrKy5C6K7u7uFu/uOzk5YdCgQVi3bh2u\n",
"Xr2KOXPmyOfBH3/8odelTfdYqoxrQW0mSZLepOZln/1866238OeffwIoHUBk//79SEpKwtSpU/Va\n",
"NyprcKmqYM3xVHYEXVMjjNpKd1JubQuYOdp9XZtoW+wyMzNx4cIF+QaBp6cnunbtKqfTfaZv//79\n",
"yM3NlZ/3U6lUZgddsaQyvrOqW7du3fDFF18gPT0da9askYO13Nxc/Pe//zW6ji3b2bhxY/kZ6wsX\n",
"Lli1Xy5fvix/Nzdq1MhkC58154z2c7Uq65x5UDD4ozpJd2Q37WiapsTFxVV1cUxq3bq1/MPv0qVL\n",
"5Z7e4IknnpBfW9Mt4/bt2/IogwqFAt26ddNbbu3+u337tt6IcNVB9wH3irSWajVv3hwbNmyQn9Ep\n",
"Kiqy+SFWSDQ7AAAgAElEQVR3W/f/6dOn5RHVvLy8DAaxsDfa/SeEsGr/7dq1S37eLSwsrEq6gpeX\n",
"uVHotHRHh7V2UBYtDw8PzJkzB0OGDJHfO3nypPxa91iMj4/XG0zGFN193r17d5vKU5kyMjJw8OBB\n",
"HDx40KA7qym6rVO6PwaFEFi7dq38/3fffYfw8HCjeRw/frycJa56R44csTiQx/Hjx+VWjKCgIIuj\n",
"zVpLd/Tpbdu2WUy/adOmSvncyqTbXTMxMVEO/vr06WPwDLq262dRURHi4+Pl4K9bt26oV69euctQ\n",
"2d9Z1UmpVOLZZ5/FvHnz5Pd0rze6bNnO+vXry8/hFxYWyvvaHGuvU6mpqbh165bZvG7duoVz584B\n",
"KL0Bac1AY/aEwR/VSbp3cU6fPm3yy7OgoEBvzrvqplQq9b6cLM3J9f3332PmzJl4++23kZGRIb8f\n",
"ExMj94X/5ZdfLLYifv7553J/+T59+ug9UwToT7lgbhqIhQsXVvudTN1uKJbu8F2/fh2//fYbfvvt\n",
"N7OjeSmVSr0H622dx2jEiBHy62+//dbi1A0fffSR/Fq31dFe6e6/L7/8EgUFBSbTajQafPzxx/L/\n",
"w4YNq9Ky2er06dMWR5785ptv5NdPPvmk/LqoqEg+XstOAVGW7hDvusdrmzZt5K5u165dw3fffWc2\n",
"n/j4ePkc9/Ly0puGorr9+OOP6NGjB3r06IE333zTqnV0r3VBQUHy65s3byI3NxdAaYuE7hQaugoL\n",
"C/X2ka2t/lXtzp07FoMq3ZYY3eOponr16iWPInrmzBls3brVZNp9+/bhl19+qbTPriw9evSAs7Mz\n",
"hBBYsWKF3EJqrBtnv379oFAoIITAZ599Jt/4rOjzfrZ8Z1W3AwcO4LfffsPOnTvNDjxk6nqjS7ud\n",
"QgirtlP3uj9//nyzafPy8vTmuzR33S8pKcGyZcvM5rd06VL5kaDIyMgqHayqLmLwR3VS+/bt5WAo\n",
"Ozsb69evN5pu6tSpVt9hriq6E5d+8803Jls+CgoKMGvWLCxYsAALFizQe/C5cePGGDduHIDS7hYj\n",
"Roww+Szejh075EnGJUky+iNL9zmapUuXGs0nISEBn3zyiYWtq3y6Q5+b+zEClHZVio6ORnR0NKZP\n",
"n24y3U8//YS//voLQOnoara2xHXu3BlRUVEASp+fGjVqlMmuxMuWLcPGjRsBlHYneu2112z6rAfR\n",
"0KFD5UnUL168iBdeeMHkD5FZs2bJ80N5eHjgP//5T7WV01qTJk0y+RzLkiVL5JFlXV1dMWbMGHlZ\n",
"SUkJBgwYgOjoaAwYMMBkEHzx4kWsWbMGQOk5rNvaB5TuI60ZM2aYvIGTlpYmXzeA0mtRTQ7qojud\n",
"wKFDhyx2x799+zbWrVsn/6/7I113O4QQ8vmtq6SkBBMmTNCb16w2tszMmDHD5HQmO3bswMqVKwGU\n",
"9uIwNQF9eUiSpPcM9MSJE43elEhKSsKQIUOsmg6iujk7O8stmNpeKqambfDy8pK7giYlJcnvVzT4\n",
"s+U7q7q99dZbiI6OxpNPPmmy225+fr7eDbey1xst3e388ccfLX72f/7zH/k5y99//x3vvPOO0XRC\n",
"CEyaNEkO3IODgy3OKzt//nyTLfrJycl6webkyZMtltXeMPirZunp6di5cye2bduGEydOVPpk1PbC\n",
"yclJr1vUSy+9hHXr1sldoM6ePYvBgwfj22+/RYcOHfTuzFW3yMhI+S6WRqNBbGwsPvzwQ9y+fRvA\n",
"/83DN3ToUPkHwIABAwzK/Pnnn8t3/M+cOYMuXbpg27Zt8jbfuXMHH3zwAWJiYuT3Jk2aZPRZBt1B\n",
"JBITEzFu3DhkZWUBKA2mP/vsMwwYMAAKhaJCz0KUR9++feWuXseOHcMrr7wiP7Nz7949/PTTT/Jz\n",
"Y7169ZL3044dOzBhwgRcvHhRzistLQ2vvvqq3uSxb775psUpKYxZuXKl3HU0MTER4eHh2Lt3rxzE\n",
"ZGZmYvr06XrBynvvvaf3XI29UigU2LRpk9x9c926dejXr5/ej5ELFy7g2WeflX+ESJKEb775ptK6\n",
"uFnL0rExbNgwnD17FuHh4di1a5dc/9evX8dbb72ld7Pngw8+0JvixcXFRX6G7fbt2+jbty8OHTqk\n",
"dw4vWrQI3bp1k4OUp556ymD+zJEjR+L5558HUDr4Qe/evfH111/LAyEUFRVh/fr16NatG65duwag\n",
"dG4s3aCxJvTo0QPBwcEASlvuRo8ebXKgkVu3bmHw4MHyTS5fX1+9QNrd3V1vTr7Y2Fi9LrmHDx9G\n",
"ZGQk1q9frzc/nfY6V1s8/fTTuHPnDsLDw7Flyxa5F8vdu3fxySefYOjQofIx9vLLL6NNmzaV+vlj\n",
"x46Veyf8+++/ePzxxxEbG4svvvgCCxcuxPDhw/HEE08gOztbrwVS9+ZkTSsbvLVp08bkM15lW059\n",
"fHysmmvRHFu+s6qbbuvb0KFD8cMPP8i9gvLz8/HLL7+ga9eucuDs5+eHsWPHGs0rNjZWrvcff/wR\n",
"8+fPl29g3bp1C+vWrdO7uVK/fn2sX79ebnWbP38+nnnmGbk7JlDaxfTJJ5+Ub+ArlUqsWbPG7Jys\n",
"ffv2haOjIyIjI7FixQq5NT8vLw/Lly9HZGSk/N6gQYPk7r6kQ9ipwsJC8euvv4oXXnhBDB8+XCxe\n",
"vLhc+aSnp4tnn31WDB8+XJw5c8ZkutzcXPHFF1+I4cOH6/298sor4uLFi+XdjDqnZ8+eQpIkIUmS\n",
"mDdvXoXyunTpkvD19ZXzkyRJuLq6Cg8PD/n/Fi1aiKtXr4pmzZrJ75U1Z84cs2XSzb+87t27J8LD\n",
"w/XykiRJNGzYUDg5Oem9FxwcLDIzM43mc/XqVdGmTRu99CqVSnh7exvkPWrUKFFcXGyyTCNGjNBL\n",
"7+DgIHx8fISDg4OQJEk4OjqKdevWiblz58ppVq9erZfH5cuX5WWBgYEW94Nu/e/bt89kuvXr1xuU\n",
"rVGjRkKhUBisu3PnTuHs7KyX3sXFRdSrV89gnwwdOlRoNBqL5TTlzJkzIiAgQC9PZ2dn4eXlpfee\n",
"QqEQM2bMMJtXYmKinH7cuHHlLpM1dMt25cqVcq1nyZgxY0weJ1r79u3TOz8lSRJubm4G7zk4OIiv\n",
"vvqqwuWyZR/rlr/ssVl222bNmqVX/w0bNjQ41qZMmWL0c9LT00XTpk310iqVSoNjSJIkERISIm7d\n",
"umU0n6KiIoNzWKFQCG9vb6FUKvXeDwsLM3lNsXT902Xr+W5MYmKi3vnq5uYmhg0bJj766CPxzTff\n",
"iC+++EKMGTNG1K9fX+8at2fPHoO8du/eLV+vtH/16tUTbm5u8nE0e/ZscebMGb3PK3sN0P1+MHd+\n",
"6G5/7969zW6n7n4tez6U3efLly83uJ5rr3Xav6efftrk9dzc+WBN/Ro7lnT/nJycxKZNm4RGo5Hf\n",
"a9CgQbk+S6syjiUt3fqVJEm8+eabJtP++eefemlHjx5tNm9rrzW2fGetXLnSpmu/LdfhstRqtejb\n",
"t69BnTZs2NDgGHNzcxOHDh0ym9/8+fP11lGpVMLHx8fs+fPDDz8Y/M5xd3fXO8e119ItW7YY/dyy\n",
"+ywuLk44OjrK+1r3t4v2r1u3biI7O9vmfWYP7LLlLyEhAS+99BLWrl1boS4gRUVF+PLLLy3O4aWd\n",
"h+jw4cNo3bo1pk+fjrfffhv9+vXDjRs3MG/ePL2RvB5kkiTJfxUVFBSE33//HZGRkfJ7+fn5uHfv\n",
"HpRKJUaPHo0//vgD/v7+Zj9X+565MlW0zO7u7ti9ezdmz56N+vXry3nduXNHPn6cnJwwbtw4HD16\n",
"1ORdS39/fyQlJeHNN9+Eq6srJEmCWq2WWxElSULjxo2xfPlyrF+/3uz8Ot9//z1mzZolP8St0WiQ\n",
"lZUFIQRCQ0ORmJio10JYGfvHmn0NAKNGjcLixYv1ynbr1i0IIQzWjYqKwoEDB9CtWzd5WUFBgfw8\n",
"EFA6zPPcuXOxefPmCtVjaGgokpOTMXHiRKhUKkiShMLCQr1pCVq2bImffvpJ7nprirX7orKU9xiu\n",
"zLrt0aMHkpOTMXToUPnObl5ennwdliQJnTt3RmJiIl555ZUKl8uWfWxL2vfffx9fffUVvLy8UFhY\n",
"qNd65e3tjWXLlmHx4sVG1w0ICMCRI0cwcuRIKJVKSJKEkpISvW7cSqUSzzzzDA4fPqzXcqhLpVJh\n",
"w4YNWLZsmXyNE0Lg9u3bckuim5sb3nrrLRw6dMjkNaU8x2FFroe9evXCzp075ef3tBPcv/POO5gy\n",
"ZQpef/11rFmzRh7gpFGjRoiLizPaA0Hbsqc7JHxubi7y8/PRvHlz/Prrr3Lru4uLCyRJQn5+vsHz\n",
"wbZ+L1X28TRx4kRs2LABjRs3RklJCW7fvi239tWrVw8ffvghtmzZYvZ6XpHvN5VKhY0bN2Lbtm1y\n",
"rxNnZ2e0aNECEyZMwMmTJzF8+HC9kaF1Bw0rzzZbKrctQkNDERAQIOdlbtqGjh07wtfXV05rTZdP\n",
"a8poy3dWde4nBwcH/O///i9mzZoFd3d3vd8e2mNMkiR0794dSUlJBoPDlTVz5kzMmjVLbgFUq9Vy\n",
"a7qp8g0bNgxHjx5FZGSknOb+/ft605f06dMHR48etfoZ+f79+yMuLg4hISEQQiArK0vuSefk5ITp\n",
"06djz549Ro9TAiQhzDwB+oCaO3cuzp49i7CwMHh7eyMhIQE9e/bUm1DWGsuWLZOf7QCAOXPm6HUv\n",
"0VqzZg22b9+O9u3bY+bMmXonSEJCApYuXQpfX198/vnnFZoIXFdxcTG2bt2qN1DIgywlJQUHDhzA\n",
"3bt34e/vj169ehlMZFpbFBUV4eDBgzh//jyysrJw/vx5DB48GL169bJpDq6CggLs3bsXly5dQnZ2\n",
"Nry9vREWFqb3PJ817t69i127duHy5cuoX78+wsLCTI6aV93+/fdf7N69W+4y89BDD+HRRx81ep4B\n",
"pc9KHTlyBNeuXUNRUREaNGiAVq1a4bHHHqvws05lz6n79+8jISEB//zzD/Ly8tCoUSM8+uijtfK5\n",
"mNooKysLiYmJuHr1KoqLi+Hr64vu3bujefPmFcq3Kq59Y8eOlZ/BW7VqldzlMjc3F/Hx8UhLS4NS\n",
"qUTLli0RERFh9XU8KysLv//+O9LS0pCbmws3NzcEBgYiPDzcZNBnjBACR44cwV9//YXbt2/D3d0d\n",
"zZs3R69eveDk5GT7BleD3NxczJ49Gzdv3sTJkyeRmZmJnJwcODk5oWHDhujQoQP69++P559/3uIA\n",
"TTk5Ofjtt99w6dIluLm5oVWrVtXeXd0Wc+fOxXvvvSe/1j53V1xcjF27duHChQsoKSlB8+bN0bdv\n",
"3xp9TlNbrq1btyIsLEy+9nbt2lXvuTkqZet3VmWydO0rKCjAoUOHcO7cOdy7dw+Ojo7w8/ND165d\n",
"bb7uXrt2DXv27EFmZiaUSiX8/PzQpUsXi/lcvXoV+/btk+eM9PPzQ8+ePfUGnDFm1apVGD9+PIDS\n",
"67F2ECchBBISEvD3338jPz8fTZs2RVRUVK2e1682/D6vnEijjunevTsmTpyIgIAA7N27FwkJCTbn\n",
"cejQIezZswdBQUFQKpUmRxq8e/cu4uLiIEkSxo0bZ3BnJCIiAomJiUhNTUViYiL69u1brm0qq7i4\n",
"GFu2bMGAAQPsIvgLDQ2tlotrZXB0dERERAQiIiKQl5eHsWPHol+/fnrDKFvD2dm5Uiam9fDwqHUj\n",
"Kmp5enraVLbmzZtXOHgwpew5Vb9+fQwePLhKPsseeHt7V8lxV53XPjc3N8TExJR7fW9v70o5hiRJ\n",
"wmOPPYbHHnuswnlVF0mSkJGRgVWrVtl87SurXr16iI2NraSS1RyVSlUrn0/SnlO6z2FV1XW2rrP1\n",
"O6syWbr2OTs7y789KsrPzw/PPvuszes1btxYr0dRRUmShMjISL0eYLVdbfh9bpfdPqOiovQm37bV\n",
"jRs3sHTpUjg7O+PVV181e5c3KSkJGo0GrVq1kgeLKEt7Ih48eLDcZSIiIiKy1tq1a9GpUyd07twZ\n",
"n332mcX0uiNZmhoRkohqP7ts+asItVqNhQsXoqCgAFOnTjUZ0GmdPXsWAMxOMKntJnbhwgVoNBqz\n",
"oxwRERERVZS3t7c8TUh2drbZqUAyMzPlbp7169evtb1FiMgyRhk2Wr9+PS5duoSePXvi8ccft5he\n",
"O79Qs2bNTKZp2LAhXFxcoFar5UlHiYiIiKpKVFQU2rVrBwA4f/48wsPDsXbtWly8eBF5eXm4f/8+\n",
"jh07hhkzZuDQoUPy4CWLFy+Gl5dXDZeeiMqLLX82SE5Oxvbt2+Hv74+JEydatY52FDtLD+/7+Pjg\n",
"n3/+keeGISIiIqoqDg4O+PXXX/H0008jOTkZJ06c0JtLUZcQAk5OTliwYEG5nvUiotqDLX9WunPn\n",
"DhYvXgyVSoXp06fD0dHRqvW0E01aGq1Mu1w7YSYREdUO1T0tBz3YatPxFBAQgMOHD2P+/Plo0qSJ\n",
"wZQCkiTB2dkZ/v7+2Ldvn8UpWIiqQm06Zx4EbPmzgkajwVdffYWcnBxMmDABTZs2tXpd7YFqaUaN\n",
"yp5xQ5IkBAcH80Sp5SRJgpeXF+upDmBd1Q1VUU8rV67EypUrKy0/su/zac6cOZgzZ05NF0OmVCrx\n",
"1ltv4a233kJqairOnTuH7OxsuLi4wM/PDy1atMDs2bM5jU0t9yCfU2PGjDHZKl3XaH+f1yQGf1bY\n",
"smULzp07h65duyIqKsqmdV1cXJCTk2OxRU+73Nr5fIqLi1FcXGx0mSRJcHFxwccff2xTWan6ubi4\n",
"YMmSJTVdDLIC66puYD3VDayn2ikkJAQhISEG77Ouaj+eU3WD9vf53bt3zaZTqVRVNhUEgz8r7Nu3\n",
"DwBw5MgRjBgxwmS6efPmAQBiY2PlkbA8PDyQk5ODrKwsBAYGmlw3KysLAKyemHLr1q3YsmWL0WXB\n",
"wcEM/IiIiIiIaqGPP/4Yly5dMrk8NjYWw4cPr5LPZvBnhUceeUQeuMUY7chYwcHBcHNzw0MPPSQv\n",
"a9KkCTIyMpCWloZOnToZXf/WrVvIz8+Ho6Mj/Pz8rCpTTEwMBgwYYHSZbpN/VlYWSkpKrMqTqp8k\n",
"SWjUqBFu3rxZ6V1/qXKxruoG1lPdwHqqO1hXdQPrqfZTKBTw8fEBUNr921w9VeUE8Az+rDB16lSz\n",
"y+fOnYuzZ8/iueeeQ2hoqN6y0NBQJCUl4eTJk4iNjTW6/okTJwCUdrewtq+2tc3BJSUlDP5qMW19\n",
"l5SU8GJdy7Gu6gbWU93Aeqo7WFd1A+up9tOtF2sf86oKHO2zinXr1g1KpRKpqam4cuWKwXIhBHbv\n",
"3g0ACA8Pr+7iERERERGRnWDwV8Xq16+P6OhoAMCqVasMWuHi4uKQlpYGf39/9OzZsyaKSERERERE\n",
"doDdPqvBsGHDcO7cOaSkpOC9995D//794eTkhOTkZOzatQvOzs6YOnUqHBwcarqoRERERET0gGLw\n",
"VwksPafn6OiIt99+G0uXLsXhw4dx7tw5eZmvry+mTZtW43N+EBERERHRg00SfCq0WmVkZCAlJQWF\n",
"hYVo0qQJ2rVrV6UTct64cYMDvtRikiTBz88P165d4wPatRzrqm5gPdUNrKe6g3VVN7Ceaj+FQgFf\n",
"X9+aLgZb/qpbQEAAAgICaroYRERERERkZzjgCxERERERkR1g8EdERERERGQHGPwRERERERHZAQZ/\n",
"REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxERERERkR1g\n",
"8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERERERHZ\n",
"AQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxERERER\n",
"kR1g8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERER\n",
"ERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxER\n",
"ERERkR1g8EdERERERGQHGPwRERERERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwR\n",
"ERERERHZAQZ/REREREREdoDBHxERERERkR1g8EdERERERGQHGPwRERERERHZAWVNF6Cuyc3NxalT\n",
"p3Dz5k0IIdCgQQO0bNkS/v7+Vq2fnp6OlJQUFBYWomnTpggLC4NCwRiciIiIiIiqlt0Gf0VFRYiP\n",
"j8e2bdtw79499OzZE1OmTDG7Tnx8PNauXYuioiKDZV27dsXLL78MR0dHo+vm5eVh6dKlOHz4sN77\n",
"vr6+mDZtGoKDg8u/MURERERERBbYZfCXkJCADRs2IDs72+p1jhw5gm+//Raurq6IiYlBcHAw1Go1\n",
"Tp8+jd27d+PIkSPw8PDA+PHjDdYtKirC/PnzkZqaitatWyMqKgrOzs5ITk5GfHw85s2bhzlz5jAA\n",
"JCIiIiKiKmOXwd/+/fuRnZ2NsLAweHt7IyEhweI6O3bsAAC88MIL6N69u/x+p06d0KpVK3zxxRfY\n",
"s2cPRo8eDScnJ711N27ciNTUVLRv3x4zZ86EJEkAgPbt2yMwMBBLly7FV199hc8//xxKpV1WCRHR\n",
"A0OhUMjd+TUaDTQaTQ2XiIiIqJRdRhrdu3fHxIkTERAQgL1791oV/I0ZMwbFxcUICgoyWNa1a1c4\n",
"OzujoKAAV69e1WvBu3v3LuLi4iBJEsaNGycHfloRERFITExEamoqEhMT0bdv34pvIBERVTuFQgGN\n",
"xhG5uRISElQAgIiIYri4CCgURQwCiYioxtll8BcVFWXzOua6ZGo0GpSUlACAQctdUlISNBoNQkND\n",
"4evra3T9iIgIpKam4uDBgwz+iIjqIIVCAUlywsyZrtiwwRFqdemNPqVSYNSoInz6qQSFopABIBER\n",
"1Si7DP4q27Fjx1BcXAwnJyeDAO/s2bMAgLZt25pcPywsDABw4cIFaDQajv5JRFTHaDSOmDnTFWvX\n",
"6nf7V6sl+b2PPxYACmqgdERERKUYZVRQZmYmVqxYAQDo0aOHwWif6enpAIBmzZqZzKNhw4ZwcXGB\n",
"Wq1GZmZm1RWWiIgqnUKhQH6+hA0bjI/2DAAbNjiioEDizT0iIqpR/BaqgMuXL2POnDnIzs5GUFAQ\n",
"Ro8ebZDm3r17AABvb2+zefn4+ACATSOQEhFRzVMoFEhIUMldPY1RqyXs2aNi8EdERDWK3T7L6Y8/\n",
"/sCiRYtQWFiINm3a4PXXX4eLi4tBuvz8fACAs7Oz2fy0ywsK2CWIiIiIiIgqH4O/ctiyZQs2b94M\n",
"AOjfvz/GjBlj8m6udnRPIYTZPC0tJyKi2kmj0SAiohhKpTDZ+qdUCkRGFnPAFyIiqlEM/my0fPly\n",
"7N69G0qlEi+++CJ69OhhNr2LiwtycnIstuhplxtrPTSmuLgYxcXFRpdJkiTnI0mSwfQSVHto64Z1\n",
"VPuxruqGmqgnIQRcXEpH9Sw74IvWqFFFcHISEELwGALPp7qEdVU3sJ5qP926yc/PN9vwo1KpoFKp\n",
"qqQcDP5s8Ouvv2L37t1wdXXFzJkz0bJlS4vreHh4ICcnB1lZWQgMDDSZLisrCwDQoEEDq8qydetW\n",
"bNmyxegyLy8vLFmyBADQqFEjq/KjmmVqGhCqfVhXdUN111NxcTE++ywHAIxO9fDZZ3nw9KwPlcqr\n",
"WstV2/F8qjtYV3UD66lumD59Ou7cuWNyeWxsLIYPH14ln83gz0pZWVnYuHEjHBwcMH36dKsCPwBo\n",
"0qQJMjIykJaWhk6dOhlNc+vWLeTn58PR0RF+fn5W5RsTE4MBAwYYXaZ7Z+HmzZvyHIRU+0iSBF9f\n",
"X1y/fp1df2s51lXdUJP1pFAo8PHHAnPn5mHPntI7tpGRxXB2FhCiWL7JRzyf6hLWVd3Aeqr9FAoF\n",
"HnroIQDAl19+abHlr6ow+LPStm3boFar8dRTT8nz8lkjNDQUSUlJOHnyJGJjY42mOXHiBAAgJCTE\n",
"6uZ6a5uDhRC8CNQBrKe6g3VVN9REPZXeaCuBq6sCgweXdsvXaDTQaDTgPTjjeD7VHayruoH1VHvp\n",
"1ou1j3lVBY45bYWioiLs378fAPD000/btG63bt2gVCqRmpqKK1euGCwXQmD37t0AgPDw8IoXloiI\n",
"apRGo4FarYZareYAL0REVKsw+LNCZmYm8vPz4e3tDXd3d5vWrV+/PqKjowEAq1atMuiCGRcXh7S0\n",
"NPj7+6Nnz56VVmYiIiIiIiJd7PZphby8PADA/fv38f7775tN265dOwwaNEjvvWHDhuHcuXNISUnB\n",
"e++9h/79+8PJyQnJycnYtWsXnJ2dMXXqVDg4OFTZNhARERERkX1j8GeDwsJCnD592myahg0bGrzn\n",
"6OiIt99+G0uXLsXhw4dx7tw5eZmvry+mTZuG4ODgSi8vERERERGRliT4VGi1ysjIQEpKCgoLC9Gk\n",
"SRO0a9euSudkuXHjBkf7rMUkSYKfnx+uXbvGB7RrOdZV3cB6qhtYT3UH66puYD3VfgqFolZMxcGW\n",
"v2oWEBCAgICAmi4GERERERHZGQ74QkREREREZAcY/BEREREREdkBBn9ERERERER2gMEfERERERGR\n",
"HWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2gMEfERERERGRHWDwR0REREREZAcY/BERERER\n",
"EdkBBn9ERERERER2gMEfERERERGRHWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2gMEfERER\n",
"ERGRHWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2gMEfERERERGRHWDwR0REREREZAcY/BER\n",
"EREREdkBBn9ERERERER2gMEfERERERGRHWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2gMEf\n",
"EZFAjcsAACAASURBVBERERGRHWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2gMEfERERERGR\n",
"HWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2gMEfERERERGRHWDwR0REREREZAcY/BERERER\n",
"EdkBBn9ERERERER2gMEfERERERGRHWDwR0REREREZAcY/BEREREREdkBBn9ERERERER2QFnTBaiL\n",
"bt68iVOnTiE3Nxf+/v7o0KEDlErrdmV6ejpSUlJQWFiIpk2bIiwsDAoFY3AiIiIiIqpadhv8FRUV\n",
"IT4+Htu2bcO9e/fQs2dPTJkyxew6arUaa9aswc6dO/Xe9/DwwOTJk9G+fXuT6+bl5WHp0qU4fPiw\n",
"3vu+vr6YNm0agoODy78xREREREREFthl8JeQkIANGzYgOzvb6nU0Gg0WLlyIY8eOITAwEAMGDECD\n",
"Bg2QkpKC7du345NPPsEbb7yBjh07GqxbVFSE+fPnIzU1Fa1bt0ZUVBScnZ2RnJyM+Ph4zJs3D3Pm\n",
"zGEASEREREREVcYu+xvu378f2dnZCAsLQ0REhFXrxMfHy4Hf+++/jyeeeAJhYWEYOXIk3njjDWg0\n",
"GixevBj37983WHfjxo1ITU1F+/btMXv2bDz22GNo3749xo8fj0mTJqGgoABfffUV1Gp1ZW8qERER\n",
"ERERADsN/rp3747PP/8c77zzDlq2bGkxvVqtxubNmwEAzz33HBwdHfWWh4WFITw8HDk5Ofj111/1\n",
"lt29exdxcXGQJAnjxo2DJEl6yyMiIhASEoLr168jMTGxgltGRERERERknF0Gf1FRUQgICLA6/YkT\n",
"J5CTkwMfHx+0adPGaBptC+Lvv/+u935SUhI0Gg1atWoFX19fs+sePHjQ6jIRERERERHZwi6DP1ud\n",
"O3cOANC2bVuTaR555BGoVCpkZWUhKytLfv/s2bMW1w0LCwMAXLhwARqNpjKKTEREREREpIfBnxXS\n",
"09MBAM2aNTOZRqlUws/PTy+9tes2bNgQLi4uUKvVyMzMrIwiExERERER6WHwZ4W7d+8CALy9vc2m\n",
"8/HxAQC9UUTv3btX7nWJiIiIiIgqC4M/KxQUFAAAnJ2dzabTLs/Pz5ff0762dl3tZxEREREREVUm\n",
"Bn82EEJYtVx3RE/ta2vXJSIiIiIiqgp2Ocm7rVxcXABYbpXTLtem177Oyckp17rmFBcXo7i42Ogy\n",
"SZLkfCRJMphegmoPbd2wjmo/1lXdwHqqG1hPdQfrqm5gPdV+unWTn59vtuFHpVJBpVJVSTkY/FnB\n",
"w8MDAPRG8TRGu7xBgwZ66+bk5CArKwuBgYE2rWvO1q1bsWXLFqPLvLy8sGTJEgBAo0aNrMqPapap\n",
"aUCo9mFd1Q2sp7qB9VR3sK7qBtZT3TB9+nTcuXPH5PLY2FgMHz68Sj6bwZ8VmjZtiuPHjyMtLc1k\n",
"muLiYnmkzqZNm8rvN2nSBBkZGUhLS0OnTp2Mrnvr1i3k5+fD0dFRHjHUkpiYGAwYMMDoMt07Czdv\n",
"3kRJSYlVeVL1kyQJvr6+uH79Orv+1nKsq7qB9VQ3sJ7qDtZV3cB6qv0UCgUeeughAMCXX35pseWv\n",
"qjD4s0JoaCh++eUX/PXXXxBCGG1SP3PmDNRqNR566CF4enrqrZuUlISTJ08iNjbWaP4nTpwAAISE\n",
"hFjdXG9tc7AQgheBOoD1VHewruoG1lPdwHqqO1hXdQPrqfbSrRdrH/OqChzwxQphYWFwd3fH7du3\n",
"8eeffxpNEx8fDwAIDw/Xe79bt25QKpVITU3FlStXDNYTQmD37t1G1yUiIiIiIqosDP6soFAoMGzY\n",
"MADA+vXrDQZvOXbsGP7880/Uq1fPoCtm/fr1ER0dDQBYtWqVQRfMuLg4pKWlwd/fHz179qzCrSAi\n",
"IiIiInvGbp9W6tu3L06dOoVjx45h9uzZGDhwINzd3ZGSkoLt27fDwcEBL730Etzc3AzWHTZsGM6d\n",
"O4eUlBS899576N+/P5ycnJCcnIxdu3bB2dkZU6dOhYODQw1sGRERERER2QMGf1aSJAmvvvoq1qxZ\n",
"g507d2Lx4sXyMg8PD0yePBnt27c3uq6joyPefvttLF26FIcPH8a5c+fkZb6+vpg2bRqCg4OrfBuI\n",
"iIiIiMh+SYJPhdrs1q1bOHnyJPLy8uDr64uOHTtCqbQujs7IyEBKSgoKCwvRpEkTtGvXrkrnZLlx\n",
"4wZH+6zFJEmCn58frl27xge0aznWVd3AeqobWE91B+uqbmA91X4KhaJWTMXBlr9y8PHxQZ8+fcq1\n",
"bkBAAAICAiq5REREREREROZxwBciIiIiIiI7wJY/IiKiB5RCoYBCUXqfV6PRQKPR1HCJiIioJjH4\n",
"IyIiesAoFApoNI7IzZWQkKACAEREFMPFRUChKGIQSERkpxj8ERERPUAUCgUkyQkzZ7piwwZHqNWl\n",
"g4oplQKjRhXh008lKBSFDACJiOwQgz8iIqIHiEbjiJkzXbF2rZPe+2q1JL/38ccCQEENlI6IiGoS\n",
"B3whIiJ6QCgUCuTnS9iwwdFkmg0bHFFQIMnPAhIRkf3glZ+IiOgBoVAokJCgkrt6GqNWS9izR8Xg\n",
"j4jIDvHKT0REREREZAcY/BERET0gNBoNIiKKoVQKk2mUSoHIyGIO+EJEZIcY/BERET0gNBoNXFxK\n",
"R/U0ZdSoIjg5CQZ/RER2iKN9EhERPUAUitLpHACYmOohD0IUgbEfEZH9YfBHRET0ANFoNFAoCvHx\n",
"xwJz5+Zhz57SSd4jI4vh7Cz+/8CPkR8RkT1i8EdERPSAKQ3uCuDqqsDgwcXye6V/NVs2IiKqOQz+\n",
"iIiIHlDagI+IiAjggC9ERERERER2gcEfERERERGRHWDwR0REREREZAf4zB8RERGREQqFAgpF6X3y\n",
"/4+9+4+Oorz3B/6eZ2d3k90QAgJJ1CJQr0aE8EvbIt4CidTbgg3WH0hbvNSey7eIlWoLRqu3eL1o\n",
"BIq0FrWeahGrnF6tGC22ARKQ6q23NCqoCNpGQOVHQISQ/ZHd2ZnvH8Nufu2P2exOdnb3/TrHc9rd\n",
"ndln53lmmCfzeT4frp8kolzAyR8RERFRF0IIqKoDHo+Epia9VEZVVRCFhRqEYKkMIspenPwRERER\n",
"nSGEgCQ5UVvrwoYNDiiKBACQZQ1z5wawcqUEITo4ASSirMTJHxEREdEZqupAba0LTz/t7Pa6okiR\n",
"1+rqNAD+DLSOiCg1TPhCREREBP2pn88nYcMGR8zPbNjggN8vRdYCEhFlE165iIiIiKBP/pqa7JFQ\n",
"z2gURUJjo52TPyLKSrxyERERERER5QGu+SMiIiKCXs6hqioIWdZiPv2TZQ3V1UEmfMlBLO1B+YBP\n",
"/oiIiIig3/AXFupZPWOZOzcAp1PjxCCH6BO+Ang8TtTXu1Bf74LH4wRQwPBeyjl88kdERER0hhB6\n",
"OQcAMUo9eKFpAXDulxtY2oPyDSd/RERERGeoqgohOlBXp2HZMi8aG/Ui79XVQRQUaGcmfpwI5AqW\n",
"9qB8w2fZRERERF3okzs/XK4O1NR4UVPjhcvVAcDPiV8OYWkPykccyURERERRqKoKRVGgKAonfTmI\n",
"pT0oH3EkExERERER5QFO/oiIiIgo73Qt7RELS3tQruHkj4iIiIjyDkt7UD5itk8iIiIiykss7UH5\n",
"hpM/IiIiIspLLO1B+YaTPyIiIiLKW52lPQRqaoKR1/T/Mts2onTj5I+IiIiI8l54wkeUy5jwhYiI\n",
"iIiIKA9w8kdERERERJQHOPkjIiIiIiLKA5z8ERERERER5QFO/oiIiIiIiPIAJ39ERERERER5gKUe\n",
"+qilpQX/+Mc/4PF4MGjQIIwZMwZDhgxJuF1rayt2794Nj8eDs88+GxMmTIAssxuIiIiIiMhcnHUk\n",
"qa2tDQ899BD27NnT7XVJkjB9+nTcdNNNsNvtvbZTFAXr169HQ0NDt9dLSkqwcOFCjB8/3tR2ExER\n",
"ERFRfuPkLwmBQAAPPPAAWlpaMGTIEMyePRtDhw7FP/7xD9TX16OpqQmqqmLhwoXdtlNVFWvWrMHO\n",
"nTsxYsQIzJo1CwMHDsSePXuwadMmPPjgg1iyZAkmTpyYoV9GRERERES5jmv+krBjxw60tLRg8ODB\n",
"ePDBBzFjxgyMHz8e1157Le6++24IIbB9+3YcPny423abN2+OTPzuu+8+/Ou//isqKytxww03YMmS\n",
"JVBVFWvXrsXp06cz9MuIiIiIiCjXcfKXhL179wIAqqurUVRU1O29Cy+8EBUVFQCA999/P/K6oih4\n",
"7rnnAADz5s2Dw+Hotl1lZSWmTJmC9vZ2vPzyy2Y2n4iIiIiI8hgnf0lQFAUA4HK5or5fWFgIANA0\n",
"LfLa22+/jfb2dgwdOhRjxoyJul1VVRUA4PXXX09nc4mIiIiIiCI4+UvCqFGjAADNzc293vN6vfjg\n",
"gw+6fQ7ofFo4duzYmPutqKiA3W7H8ePHcfz48XQ2mYiIiIiICAAnf0mpqqrC4MGD8e6770ZCOQHA\n",
"4/HgF7/4BU6fPo1LL70UI0eOjLz38ccfAwDOO++8mPuVZRnl5eUAgE8++cSk1hMRERERUT5jts8k\n",
"FBUV4a677sLq1avx/PPPY+vWrTjrrLPw8ccfIxAIYPLkybj55pu7bXPy5EkASFgDcOjQoTh48CBO\n",
"nTplWvuJiIiIiCh/8clfklwuF4YOHQpAn9j985//RCAQgBAi8vSuK7/fDwAoKCiIu9/w+z6fL80t\n",
"JiIiIiIi4pO/pLS1teHuu+/GiRMnMGPGDNTU1GDw4ME4cOAAnn32Wbzwwgv48MMPcdddd0GI7vPq\n",
"rklgogm/L0mSae0nIiIiIqL8xclfEtatW4cTJ05g5syZuPHGGyOvjxo1CnfddRd+9rOf4Z133sEr\n",
"r7yCWbNmAejMABp+AhhL+P3w5xMJBoMIBoNR35MkKbIfSZI4obSwcN+wj6yPfZUd2E/Zgf2UPdhX\n",
"2YH9ZH1d+8bn88V9MGS322G3201pByd/Bh0/fhyvv/46CgoKMGfOnF7vCyFw3XXXYfny5diyZUtk\n",
"8ldSUhLZPtH+AWDgwIGG2rNx40Y8//zzUd8bPHgwHnvsMQDAsGHDDO2PMqusrCzTTSCD2FfZgf2U\n",
"HdhP2YN9lR3YT9nhtttuw4kTJ2K+f+211+L666835bs5+TPowIEDAPSnfE6nM+pnLrjgAgDAkSNH\n",
"0NHRAafTieHDh+Ott97C/v37Y+47GAzi0KFDAIDhw4cbas/VV18dmWD21PUvC62trQiFQob2Sf1P\n",
"kiSUlZXhyJEjCUODKbPYV9mB/ZQd2E/Zg32VHdhP1ieEQGlpKQDgoYceSvjkzyyc/BnU0dEBIP7j\n",
"9K5hmOHJ3+jRo1FfX4933nkHmqZF3f69996DoigoLS3FoEGDDLXH6ONgTdN4EcgC7Kfswb7KDuyn\n",
"7MB+yh7sq+zAfrKurv1idJmXGZjt06DwY/SWlpaY6/f27dsHQM8IWlxcDACorKxEcXExPvvss6jF\n",
"4QFg8+bNAIApU6aku9lEREREREQAOPkzbOTIkSgrK4PP58NvfvObXn9V8Xq9+N3vfgcA+PKXvxx5\n",
"PbwWEACeffbZXhPHnTt3orm5GUVFRTHDOImIiIiIiFLFsE+DJEnCf/zHf2D58uX4y1/+gmPHjmHG\n",
"jBkoKSnBp59+ij/+8Y9obW1FSUkJbrjhhm7bzpgxA7t378bOnTtxzz334KqrrkJxcTH27NmDTZs2\n",
"wWazYdGiRXC73Rn6dURERERElOskjYHBSdm5cycef/xxtLW19Xpv1KhRWLx4cdRMS4qiYP369Who\n",
"aOj2eklJCRYuXIjx48eb0t6jR48y4YuFSZKE8vJyHD58mDH6Fse+yg7sp+zAfsoe7KvswH6yPiGE\n",
"JbKx8slfki699FKMGzcOe/bswaFDhxAIBFBUVIQvfvGLGDlyZMztZFnGTTfdhKuuugq7du2C1+tF\n",
"WVkZJk6cCFlmNxARUXoJISCEvrpDVVWoqprhFlGmcUwQEWcdfeBwODB+/Pg+Pa0bOnQorrjiChNa\n",
"RUREpN/gq6oDHo+EpiY9K3RVVRCFhRqECPCGPw9xTBBRGCd/REREOUIIAUlyorbWhQ0bHFAUvbyQ\n",
"LGuYOzeAlSslCNHBm/08wjFBRF1x8kdERJQjVNWB2loXnn7a2e11RZEir9XVaQCilyyi3MMxQURd\n",
"sdQDERFRDhBCwOeTsGGDI+ZnNmxwwO+XIuu+KLdxTBBRTzzTiYiIcoAQAk1N9khYXzSKIqGx0c4b\n",
"/TzBMUFEPTHsk4iIADATIBERUa7j5I+IKM8xE2BuUFUVVVVByLIW80mPLGuorg6yT/MExwQR9cRn\n",
"/EREeawzE6AbFRUlWLCgCAsWFKGiogS1tW5IkpPhYFlCVVUUFuoZHGOZOzcAp1PjjX6e4Jggop74\n",
"5I+IKI8xE2BuEUJP3Q8gRlp/LzQtAN7n5w+OCSLqStI0Tct0I8g8R48eRSgUynQzKAZJklBeXo7D\n",
"hw+Dp6K15WJfCSHg8ThRUVESNyRs376TcLmyow5YLvZTssJhvH6/nsgDAKqrgygo0CDLSuRzmVzX\n",
"yX7qX/HGRKLQbvZVdmA/WZ8QAmVlZZluBp/8ERHlq2QyAdbUcE1QttD7yQ+XS6CmJggA0DQNoZAd\n",
"p0/bua4zD0UbE+HJP7ueKL9w8kdERJSDwjf3nes6XTHC/iQIkR1Pdik1zOJLRFzFT0SUp7pmAoyF\n",
"mQCzn6o6sGSJvq6z61Pe8LrOJUtcUNXYRcCJiCh3cPJHRJSnmAkw9wkh4PNJ2LAh9uRuwwZ9LRiz\n",
"uhIR5T5e6YmI8pieCdCLefM6uj0BlGUN8+Z1YOVKL2y22JNDsrZk1nVy8kdElPu45o+IKI/pa8I6\n",
"UFenYdkyb69MgHoKeD71IyIiygWc/BER5TlmAsxdXdd1xivnwXWdRET5gTEeREQEQJ8oKIoCRVE4\n",
"EcgRXNdJRERd8ckfEVEeEkJE1ngx/Xtu09d16k/9opd68J4J781kK4mIqD9w8kdElEeEEFBVBzwe\n",
"icW+8wTXdRIRURgnf0REeYLFvvMX13USERFgkcnf8ePH0draikGDBqG8vDzTzSEiykmq6kBtrV7s\n",
"u6twsW8AqKvTAPgz0DrqDwzxJSLKb6YkfHnuuefwhz/8wfDnW1pacO+99+LXv/61Gc0hIsp7LPZN\n",
"REREpvwL//zzz+P55583/PnRo0cDAD755BMzmkNElPdY7JuIiIgs8S98KBQCAHi93gy3hIiIiIiI\n",
"KDdZYs3fX/7yFwDAgAEDMtwSIqLcxGLfRN2x3AkR5aO0TP6OHTuGY8eO9Xp9z549MbcJhUL4/PPP\n",
"8d5772HHjh0AgHHjxqWjOURE1EPXYt89E76Esdg35QOWOyGifJaWyd/27dt7rfFTVRX33nuv4X0M\n",
"GTIEc+bMSUdziIgoChb7pnzHcidElO/SMvnTNK3P2xYXF+NLX/oS5syZg+Li4nQ0h4iIomCxb8p3\n",
"LHdCRPkuLZO/WbNmYdq0aZAkCZqm4Yc//CGEEPjlL38Zc2IohEBBQQGKiorS0QQiIjKAxb4pXwkh\n",
"4PEkLneybJkXLpfgH0KIKCelZfLncrngcrl6vT506NB07J6IiNKMCS4o3yRT7qSmhomPiCg3mZLt\n",
"86tf/SpsNpsZuyYiIiIiIqI+MGXyt2jRIjN2S0RERNQnLHdCRGSRIu9EREREZupa7iQWljsholxn\n",
"WpF3VVXxxhtv4O9//zsOHToEn8+HUCiUcLtf/epXZjWJiIiI8hjLnRBRvjNl8hcMBrF8+XK8//77\n",
"ZuyeiIiIKGksd0JE+c6UyV99fX1k4udwODBy5EiUlJTA4XBAkmJn2Yr3HhEREVGqWO6EiPKZKZO/\n",
"v/71rwCAiy66CHfccQcKCwvN+BoiIiIygRACQuhpAXK1LEiu/i4ionhMmfwdOXIEADB//nxO/IiI\n",
"iLKEEAKq6oDHI6GpSQ+JrKoKorBQgxAMiSQiynamTP6cTicURcEXvvAFM3ZPREREaSaEgCQ5UVvr\n",
"ipEMRYIQHZwAEhFlMVNKPZx33nkAgBMnTpixeyIiIkozVXVgyRIXnn7a2a0OnqJIePppJ5YscUFV\n",
"HRlsIRERpcqUyd/XvvY1AMDLL79sxu6JiIgojYQQ8PkkbNgQe3K3YYMDfr8UWQtIRETZx5Qr+OTJ\n",
"k1FdXY2GhgY89dRTUBTFjK8hIiKiNBBCoKnJ3u2JX0+KIqGx0c7JHxFRFjNlzd/27dtxwQUX4KOP\n",
"PsIrr7yC1157DZMmTcIXvvAFuN3uuCUdpk6dakaTiIiIiIiI8popk79HH3202/9va2vDtm3bDG2b\n",
"bZO/Q4cOYc+ePWhra8PAgQMxduxYDBs2LO42ra2t2L17NzweD84++2xMmDABsmxKVxARESWkqiqq\n",
"qoKQZS3m0z9Z1lBdHTQ14UsmS0zkQ3kLIiLOOPqovb0djz/+OP7v//6v13vf+MY38O///u+9XlcU\n",
"BevXr0dDQ0O310tKSrBw4UKMHz/etPYSERHFoqoqCgv1rJ5PP+2M+pm5cwNwOjVTJkWZLDHB8hZE\n",
"lE9Mmfw9/PDDZuzWMnw+H+677z7s378fZ599NmbOnInS0lJ88skneOGFF/DKK69g5MiR+OpXvxrZ\n",
"RlVVrFmzBjt37sSIESMwa9YsDBw4EHv27MGmTZvw4IMPYsmSJZg4cWIGfxkREeUrIfRyDgBilHrw\n",
"QtMCSPdcKJMlJljegojyjSmTv0Rhj9nuqaeewv79+3HRRRfh7rvvjoRsjh07FgMGDMAzzzyDlpaW\n",
"bpO/zZs3RyZ+9913HxwOPaNaZWUlRo8ejeXLl2Pt2rVYs2YNBgwYkJHfRURE+UtVVQjRgbo6DcuW\n",
"edHYqD8Fq64OoqBAOzPxS/8kSFUdqK119XriGC4xAQB1dRoAf059NxFRJjBlV5I+/fRTbNu2DUII\n",
"/OAHP+i1Vu/yyy/Ho48+ivnz50deUxQFzz33HABg3rx5kYlfWGVlJaZMmYL29naWxyAioozRJ3d+\n",
"uFwdqKnxoqbGC5erA4DftCdvmSoxwfIWRJSPTHnyd/z48T5vO2TIkDS2JP127NgBALj44otRVlZm\n",
"aJu3334b7e3tGDp0KMaMGRP1M1VVVXj99dfx+uuv49vf/nba2ktERJSs/kp4IkmS4RITNTXpTTaT\n",
"THmLdH83EVGmmDL5W7RoUZ+3/f3vf5/GlqTfnj17AADjxo0zvM3evXsB6GGhsVRUVMBut+P48eM4\n",
"fvy45SfBRERERESUXRjHkKSDBw8CAC688ELD23z88ccAgPPOOy/mZ2RZRnl5OQDgk08+SaGFRERE\n",
"2UHTtEiJiVjMKjHRtbxFf383EVGmmPLk7z//8z9jvqeqKtrb27F//3787//+L1pbW3HBBRdgzpw5\n",
"cYu/W4Hf74ffry/6Puecc6CqKpqbm7Fz5060tbVhyJAhuPzyy1FRUdFtu5MnTwJIHNI6dOhQHDx4\n",
"EKdOnTLnBxAREVlIJktMZLq8BRFRJpgy+bv44osTfmby5Mm4/vrr8dxzz2Hjxo147bXX8IMf/MCM\n",
"5qRNeOInhICmabj//vvxzjvvdPvMli1bMHPmTNx44429tisoKIi7//D7Pp8vnc0mIsp7LOBtXZkq\n",
"MZHp7yYiyoSMFnm32Wy44YYbcOrUKTQ1NWHixIn40pe+lMkmxRW+WZBlGT//+c9x8OBBLF68GJdc\n",
"cglOnjyJxsZG1NfXY9OmTfjiF7+IKVOmdNte02KHlnR93+pPQImIsgULeFtfpkpMZPq7iYgyIaOT\n",
"v7Camho0NTXhT3/6k6Unf4WFhQCAQCCAvXv34t5778UFF1wAQK9tOHfuXIRCIbz88st45ZVXIpO/\n",
"8HbhJ4CxhN8Pfz6eYDCIYDAY9T1JkiL7kCSJk0kLC/cN+8j62FfZoWs/6U/6HHELeNtsvLnPhJ7n\n",
"k6ZpkKQOuN0CNTXByGuqqkLTzD3vMvnd2YDXvuzAfrK+rn3j8/niPhSy2+2w2+2mtMMSk7/wWrj9\n",
"+/dntiEJFBQUnPkrsopx48ZFJn5dXXnllXj55ZfR0tICRVEgyzJKSkoAJC6BEX5/4MCBCduyceNG\n",
"PP/881HfGzx4MB577DEA+qSUrM9o2RDKPPZVdigtLcXRo21YurQgbgHvFSsEysqKecOUITyfsgf7\n",
"Kjuwn7LDbbfdhhMnTsR8/9prr8X1119vyndbYvL3wQcfAABCoVCGWxKfJEk499xzcfDgQYwcOTLq\n",
"Z84666zIBLG9vR0lJSUYPnw43nrrrbiT22AwiEOHDgEAhg8fnrAtV199NWbNmhWznWGtra2WP675\n",
"TJIklJWV4ciRIwnDgimz2FepEUJ0e8pj1tO2cD8dO3YMHo89YQHvZcu8aG1t5dO/fsbzKXuwr7ID\n",
"+8n6hBAoLS0FADz00EMJn/yZJeOTv8OHD+PXv/41AMScUFnJ+eefj4MHD8adUIVvIhwO/aZj9OjR\n",
"qK+vxzvvvHMmvKT3X5jfe+89KIqC0tJSDBo0KGE7jD4O1jSNF4EswH7KHuyr5ITX3LW39/+au2QK\n",
"eLNPM4PnU/ZgX2UH9pN1de0XI0u8zGLK5O+RRx6J+76maejo6MCRI0dw4MCByOszZswwozlpNWXK\n",
"FDQ1NfXK8hnW0tICQA+3dLlcAIDKykoUFxfjs88+Q3NzMy655JJe223evDmyfyKiXKA/7XPGXXMn\n",
"RAefuhEREfUTUyZ/r776atLbTJ06FZdffrkJrUmvMWPGYMSIEWhpacHWrVtxxRVXRN5TVRXPPfcc\n",
"AP33hAkhcN111+GJJ57As88+izFjxnQr+7Bz5040NzejqKgoZignEVG2UVU92Uq8NXd1dRqA+Mmw\n",
"+qJr8fBYT/9YwJuIiPKNKZO/RMXMAb3Mg8vlwhe+8AV85StfwaRJk8xoiiluvfVW3HXXXfjNb36D\n",
"/fv345JLLkEwGMTmzZuxe/dulJWV4Zvf/Ga3bWbMmIHdu3dj586duOeee3DVVVehuLgYe/bslrLd\n",
"XgAAIABJREFUwaZNm2Cz2bBo0SK43e4M/SoiovQRQsDjkQytuXO5BAt4ExER9QNJY2Bwn+zfvx+/\n",
"+MUvIklawkaNGoUf//jHUSfAiqJg/fr1aGho6PZ6SUkJFi5ciPHjx6e9nUePHmXCFwuTJAnl5eU4\n",
"fPgwY/Qtjn2VHFmWUV/vwoIFRXE/9/jj7aip8UJRlLR8b9d+0kvdOLFkSaywUy80jWGnmcDzKXuw\n",
"r7ID+8n6hBCWyMaa8YQv2WrEiBH4+c9/jnfffRcHDx4EoE/8Ro8eHXMbWZZx00034aqrrsKuXbvg\n",
"9XpRVlaGiRMnQpbZFURE6cQC3kRERN3124zD4/Hgs88+g9/vh8vlwtChQ+F0Rg/FyRZCCFRWVqKy\n",
"sjKp7YYOHdptrSARUa5RVdUSa+70ffvhcnUW8FZV9cx/pn0tERGRJZk6+QuFQti6dSu2bt2Kjz/+\n",
"uNtjaCEEzj//fHz961/HZZddZmYziIion1ltzV14wkdERJTPTJv8tbW1YcWKFfjwww+jvq+qKj74\n",
"4AN88MEH2LFjB2677basfxJIRESdhNDLOQCIs+YuwCdwRERE/cSUyZ+maVi1alVk4jdixAhMnjwZ\n",
"55xzDpxOJ3w+Hw4cOIDXXnsNR48exVtvvYXVq1fjzjvvNKM5RESUAVxzR0REZC2mTP5ee+017Nu3\n",
"DwDwne98p1fZAwD48pe/jGuvvRbPPvssXn75Zbz99tt444038JWvfMWMJhERUQZwzR0REZF1CDN2\n",
"+tprrwEArrzyyqgTv8iXC4Hvfve7kYLo27dvN6M5RESUYaqqQlEUKIrCp31EREQZYsrkr6WlBQDw\n",
"jW98w9DnZ8+e3W07IiIiIiIiSi9TJn/t7e0AgNLSUkOfDxc89Hg8ZjSHiIiIiIgo75ky+XO73QCA\n",
"zz77zNDnw59zuVxmNIeIiIiIiCjvmTL5Gz58OACgqanJ0OcbGhoAAKNGjTKjOURERERERHnPlMlf\n",
"OGPniy++iDfeeCPuZzdv3ow//vGPABBJ/EJERERERETpZUqph6qqKvzpT3/CoUOH8NBDD+HSSy/F\n",
"ZZddhnPPPRcFBQXwer3Yv38/duzYgffeew8AMHbsWFx22WVmNIeIiIiIiCjvmTL5k2UZd9xxB/77\n",
"v/8bx44dw86dO7Fz586Ynx89ejR+/OMfm9EUIiIiIiIigkmTP0DP4Pnggw/ihRdeQFNTE7xeb6/P\n",
"DB48GDNnzsTXv/512Gw2s5pCRERERESU90yb/AF61s958+bhO9/5Dg4ePIhjx47B7/ejsLAQ5eXl\n",
"OOecc8z8eiIiIiIiIjojbZM/VVXxwQcfYMiQIRgyZEi394QQGDFiBEaMGNHt9UOHDqGtrQ0XXHAB\n",
"hDAl9wwRERERUd4RQkTur1VVhaqqGW4RWUFaJn9vv/02fvOb3+DYsWNYvHhxr8lfLM3Nzfjd736H\n",
"srIyLFy4EBUVFeloDhERERFRXhJCQFUd8HgkNDXZAQBVVUEUFmoQIsBJYJ5L+XHbm2++iQceeADH\n",
"jh1LeltN0wAAR44cwfLly9HS0pJqc4iIiIiI8pIQApLkRG2tGxUVJViwoAgLFhShoqIEtbVuSJKT\n",
"0XZ5LqXe1zQN69atAwBMmjQJq1evxuTJkw1vP3PmTNx///04//zzEQgE8MQTT6TSHCIiIqK0EEJA\n",
"lmXIssybZcoKmqYhFLJjyRIXnn7aCUWRIu8pioSnn3ZiyRIXVNWRwVZSpqV0Nfvoo49w9OhRFBUV\n",
"4Uc/+hHOOeccSJKUeMMzbDYbvvjFL+KOO+6A3W7HP/7xD3z66aepNImIiIioz/SJXgE8Hifq612o\n",
"r3fB43ECKOAkkCxNURT4fBI2bIg9uduwwQG/X+JYzmMpT/4AYMKECXA4+v5XhOLiYkyYMAEA8OGH\n",
"H6bSJCIiIqI+YcgcZTNFUdDUZO/2xK/3ZyQ0Nto5jvNYSglfTp8+DQCGE7zEU1paCgBoa2tLeV9E\n",
"RESZxkx72UdVHait1UPmugqHzAFAXZ0GwJ+B1hERpS6laX+4MHsoFEq5IeFwUf4lgoiIshnDBrOT\n",
"EIIhc5TVZFlGVVUQsqzF+YyG6uog/xiVx1K6epWUlABAWtbphfcxcODAlPdFRESUCQwbzF5CCIbM\n",
"UVaTZRmFhRrmzg3E/MzcuQE4nRonf3kspavXhRdeCAB49913UwrXPHHiBHbt2tVtn0RERNlGVR3M\n",
"tEdEGSFJEmy2IFau9GLevI5uTwBlWcO8eR1YudILmy325JByX0qTv2HDhmHkyJHo6Ojoc5mGUCiE\n",
"xx57DIqiYNSoURg2bFgqTSIiyglMM599GDaY3VRVTSpkjucoWZGqqtC0DtTVebBv30k8/ng7Hn+8\n",
"Hfv2nURdnQea1sGnfnku5avVt7/9bQDAG2+8gbq6Ohw/ftzwtocOHcJ//dd/RZ76zZ07N9XmEBFl\n",
"Na4Xy14MG8xuqqoaCpkrKNCgqg6eo2RZ+uTOD5erAzU1XtTUeOFydQDwc+JHqWX7BIDKykrU1NSg\n",
"vr4eb731Fm699VaMHz8el1xyCUaOHIkhQ4bA5XJB0zR4vV4cO3YMH330Ef72t79h9+7d0DT9L2w1\n",
"NTWorKxM+QcREWWrzvViLmzY4IhMImRZvyFduVKCEPyrLZFZhNDPMwAxzkEvJEnCT37Cc5Ssj1mG\n",
"KZqUJ3+A/vRPCIGNGzciFAqhubkZzc3NhraVJAlXX3015syZk46mEBFlLaulmU93qYJcL33QNWww\n",
"1tM/ZtqzNj2cswN1dRqWLfOisdEOAKiuDqKgQIOmAUuWuC1zjhIRJStt8Qk33HAD7rnnHlx88cWG\n",
"t6msrMSyZcs48SOivGel9WLpDj3Nl1BWo2GDzLRnbbFC5oQIwOOxxjlKRNRXaXnyFzZmzBiMGTMG\n",
"R48exfvvv4+Wlha0tbXB4/EAANxuN0pKSjBq1ChcdNFFGDp0aDq/nogoayWzXqymxrwnR+kOPc23\n",
"UFYjYYOaFkCO/Nyc1vPptCzLljhHiYhSkdbJX1hpaSlKS0sxbdo0M3ZPREQmSXfoqZVCWdMVdhpv\n",
"P4nDBgOcFBARUcYwLoGIyAKSTTNvhnSHnlollDVdYadG98NMe7nJCucoEVGqOPkjIrIAK6wXS3ep\n",
"AiuUPugMO3WjoqIECxYUYcGCIlRUlKC21g1Jchr+LcnuR1VVKIoCRVE4GcgBVjhHiYhSZUrYJxER\n",
"JY/rxdJLD890YOtWOw4fFt2OW7Jhp1YKX6XMMesczfVMuERkHZIWLrRHOeno0aMIhUKZbgbFIEkS\n",
"ysvLcfjwYfBUtLb+6ishBFRVD4XsuV5MCHPXiwkh4PE4UVFRErdUwb59J+FyJU7Sku79GSFJEoYM\n",
"GYJjx07D55PQ1GRHIABMm6YgGNTrs4WPq9Hvz8TvyHXZfO1L5zka3ld4rAJAVVUQhYXmn+9GZXNf\n",
"5RP2k/UJIVBWVpbpZvDJHxGRlXSuFxOoqQlGXtP/M/+7w2FtPZ9whSUT1pbu/RkhhMDnn7ejttYd\n",
"9cnMunXtmD+/KHLTbiQ7o1UysZI1pOsczbdMuERkDZz8ERGZqK/hXJkK/Up3WFt/h7KGQvaE4Zmr\n",
"VnkxaVIxVDX2ZI4okVTPUYYSE1EmMOwzxzHs09oYppE9ku2rbAjniiXdoaf9FcpqNDxz165TWLzY\n",
"ja1b7Qz7zJB8v/Zl05jK977KFuwn62PYJxFRjsr2cK50h572Vyir0fDMbdvsmDBBwdatdkNhp5kI\n",
"X6XcxlBiIsoUTv6IiNIsV8K50h16aqUshkIA8+Z1GA47ZSZWIiLKBQz7zHEM+7S2XAzTyNWU5Ub7\n",
"KplwrgEDFGiallPHqT/EGmNGj/2ePafgdGqQ5eTCTjOZiTXX5OK1LxkM+6R0Yz9Zn1XCPlnknYjS\n",
"Qr8ZL4DH40R9vQv19S54PE4ABaYV8LaiZMK59u1z5O1x6otEY8xoEW63W4PD0QHAn9RNdWf4agdq\n",
"aryoqfHC5Up+P0QsGE9EmcKwTyJKWbavccuEQAB46SUHVq4s5HEywOgYk6QgVq3yAogXnpnaMeaT\n",
"WkoHhhITUSZw8tfPWltbsXv3bng8Hpx99tmYMGECZJndQNktV9a4JSta+KGqqqiqCkKWtbjhXNOn\n",
"K1i8WD82uX6c+qL3sTU2xiSpA0OGFKGu7jSWLfP2Cs/Ub6Z5N03x9Uf4uqqqEKIDdXUaxyoR9Ruu\n",
"+UuDkydPYunSpTh16hQWLlyIadOm9fqMoihYv349Ghoaur1eUlKChQsXYvz48aa0jWv+rC0XYvSz\n",
"ae1KKrr2lSRJCco4OFBb646ZGXLevA7cdpsfl1zSvdZcLhynVEUrkXHllUEEgxIqKgYmHGNudwCl\n",
"paWRfsrF9ae5wKrXvkyVaLHyWmmr9hV1x36yPqus+eMjpxRpmoZf/epXOHXqFAD95OtJVVWsWbMG\n",
"O3fuxIgRIzBr1iwMHDgQe/bswaZNm/Dggw9iyZIlmDhxYn83nyhl+ZayXL9Bc8QNP7TZ9JAtIHo4\n",
"1/33ezF/flGvIuO5dJz6IlZoZ22tD+edFzI8xsKsdhNN1pbJ8HWOVSLqL5z8pejFF1/EO++8E/cz\n",
"mzdvjkz87rvvPjgcDgBAZWUlRo8ejeXLl2Pt2rVYs2YNBgwY0B/NJqI+0DQNoZDdUPhhtHCuadMU\n",
"eDwS5s8viryWSVZ72hArtFNVgVAo9sSPouuv/rXaOOqrfA1fJ6L8wtRyKdi3bx/+53/+B0OGDMGk\n",
"SZOifkZRFDz33HMAgHnz5kUmfmGVlZWYMmUK2tvb8fLLL5veZqJ067rGLRZZ1lBdnf1PsxRFgc8n\n",
"YcMGR8zPbNiglwLQdWaGnD3bB6dTw5e/PCDmxK+/jpMVM7MKIWIe2zfflDFtmrExxnCn/utfK46j\n",
"voo3/sLC53a2/TYioq54Beuj9vZ2/OIXvwAA3HrrrXC73VE/9/bbb6O9vR1Dhw7FmDFjon6mqqoK\n",
"APD666+b01giE+VTynJFUQyHuHZ9EqIoCoJBffIyZ04w5rb9cZw6Q9vcqKgowYIFRViwoAgVFSWo\n",
"rXVDkpwZubmNFz7c1CQjGJTyYoylqr/616rjqK+SCV/Ppt9FRNQTr2B99Oijj+Kzzz7Dddddhwsv\n",
"vDDm5/bu3QsAGDt2bMzPVFRUwG634/jx4zh+/Hja20pkNj1luRfz5nV0ezojyxrmzevAypVe2Gyx\n",
"b9zzhRWOk6o6sGSJHtrW9UY3HNq2ZIkLqhr76UcmqKqEn/zEhfvv5xhLpL/6NxvHUaYJISDLMmRZ\n",
"5gSSiDKGa/764E9/+hP+/ve/Y8yYMfjWt74V97Mff/wxAOC8886L+RlZllFeXo6DBw/ik08+wZAh\n",
"Q9LaXiKz5VPK8qoqJWEZh1ihm5k+Tnpm1sShbcuWeeFyiX7ts0QlMhob7bjpJjd++1tP3GMXLelW\n",
"vuiv/rXyOOoroyVa+hKWHc4g6vH0bwZRIqJo+KenJH300Uf43e9+h+LiYvzwhz9M+PmTJ08CQMIJ\n",
"3dChQwEgkjWUKNvoNzCda9xqarxwuToA+HPi5kYIgdOn/VAUpBR+mMnjZOXQNiPhw2VlGgAtZ8dY\n",
"qvqrf608jvrKrPD1XAuPJaLsxyd/SfD7/VizZg1CoRBuueUWlJSUGNoGAAoKCuJ+Lvy+z+dLvaFE\n",
"KUg1c182Z/uLJ5zl89AhgXXr2gFEL+OwcqX3zFOo+PvL1eOUCj0sVj+e8Y+t8WOXyUyUuZIFM18Y\n",
"H3/G95nODKIcT0SUDpz8JeHxxx/HkSNH8M1vfhPjxo1LattEGejC7+dzyBJlFkOTYusa5qYoeqmG\n",
"Vau8qK31Ydu2zmNVXKwBsO6xMjO0LR3SGRYrhEAoZM/IeM7UudRf/Wv1cdRX6Q7LTld4LK/NRJRO\n",
"nPwZtG3bNrz++uv4l3/5F9xwww0xP9dzkldYWAig8wlgLOH3w59PJBgMIhiMnjVQkqTIfiRJ4oTS\n",
"wsJ9k+k+Mlq4PF9vMnqGuTU22jFpUjGqqhRMmKAAAG691Y3rr/ejpiaY8f6MRdO0SGhbzycRYeHQ\n",
"Nk3TMvI79O/tgNstIgXbNU0PtdO0xOeKJElnro2ZGc+ZPJf6q3/T8T1Wufb1lOr46yqZ8Niamuhl\n",
"SqxwbbZqX1F37Cfr69o3Pp8v7oMhu90Ou92cesCc/Bn06quvAgA+/PBDfPvb3475uUcffRSPPvoo\n",
"pk6diptvvjkSGpooi2f4/YEDBxpqz8aNG/H8889HfW/w4MF47LHHAADDhg0ztD/KrLKysox9t6Zp\n",
"OHq0DUuXFsQNTVqxQqCsrDgv/2HRw7G731ypqoStW+3YurXz4nz99QEMGDDA8B9xMiEYDGLVqthh\n",
"q6tWeTFo0ADY7YMz2cw+6xzP8UPtzBjPVjiX+qt/0/U9mbz2mS3adSM6Kep1wwrjqatc7qtcwn7K\n",
"DrfddhtOnDgR8/1rr70W119/vSnfLWmsiGvI+vXrcfDgwZjvf/zxxzh58iTOPfdcDBo0COPGjcNV\n",
"V12FZ555Bi+99BKmTZuGhQsXRt02GAxi/vz5UBQFjz32GAYNGpSwPUaf/LW2tiIUChn4hZQJkiSh\n",
"rKwMR44cyVhxaiEE2tsdqKgoiRvCtW/fSbjd/fP0T0+SoLcl/Ff3TO7biscoFeGQSL9f6hXaZrNl\n",
"V6heTzabDe3tDlx44cB+7yurjBMj/ZuOcyyVcSRJEkpLS3Hs2LHIa+k+1zMt1fFglfFk9N8pM6/b\n",
"lJgV7icoPiEESktLAfDJX1a48cYb476/du1a7NixA9/85jcxderUyOsXX3wxXnrpJbzzzjsxw1/e\n",
"e+89KIqC0tJSQxM/wPig0DSNF4EskMl+kiQp5dCkdAmvbWlvT//allT2HQqFDIe5ZcMfW/Q2huBy\n",
"dYa2hRNIZEHzE2pszMx4tsq5FK9/NU1A05xpOcdSGUdCCBw92gaPx56z69hSvW5YZTyFxfp3yszr\n",
"NiWP933W1bVfMhkhxMmfySorK1FcXIzPPvsMzc3NuOSSS3p9ZvPmzQCAKVOm9HfziCyjMyV67LUt\n",
"QnT0+QlFqvu22YJYtcoLIH2ZADONGQNzW8/+NescS3YchdexLV1akPZz3WrMyCBqJWZet4nIHJz8\n",
"mUwIgeuuuw5PPPEEnn32WYwZM6Zb2YedO3eiubkZRUVFmDVrVgZbSvnKKpn70pkS3Yx9q6qKIUOK\n",
"UFd3OucL2WczTdPHarTxLISGqioFl1yiYObM6GHzicRLt2+VcykWM8+xbGxHf0glg6jVxxOQX31J\n",
"lCtYWbQfzJgxA5deeik+/fRT3HPPPdixYwfefvttPPvss1izZg1sNhsWLVoEt9ud6aZSHjKruHEy\n",
"hBDw+RKnRPf7paQLIqdz33a7HZLUwSLjFqaqKlwuqdd4rq4Oorm5DWvWeHDeeSFs2mTH6dN2AAWG\n",
"xpT+mQJ4PE7U17tQX++Cx+Pstr0VzqVYzDzHsrEd/Unva3/S1w0rjycgP/uSKBfwyV+axMuyJUkS\n",
"fvSjH2H9+vVoaGjA2rVrI++VlJRg4cKFGD9+fH80kyiqTIcmJZsSPdkQs3Tvm+GS1nbWWS6sXNmZ\n",
"iXLqVAXr1rXjrrv6FpqWTGhbps+lWMw8x7KxHZnQl+uGVceT3rb87UuibMbJX5rcfPPNuPnmm2O+\n",
"L8sybrrpJlx11VXYtWsXvF4vysrKMHHiRMgyu4EyK93Fjcma4oUsWlVf2qwnwwpExjMg4a67+h6a\n",
"lkxoW6bOpWzsW0osV67NQgjIssyxSWQBLPWQ444ePZoV2QfzlSRJKC8vx+HDhy2TnSsTN5FCCHg8\n",
"TkMpzV2u5JIHpGvfVuwro8LZ+Hy+7MnG19c29+wnWZZx+rQDFRWJSz9E6/9Uxk9/nEtGj5OZ51iy\n",
"7bVCO7JRpib4sa59Rvty795T2LNH4MgRYfnrTjbL5n+j8oUQwhJ1GBmETUTdqKoKRVGgKEq//eNs\n",
"5toWq6+bMVtnyKIbFRUlWLCgCAsWFKGiogS1tW5IktNy63HS3eamJtlQaFq0fSYT2tZze7PPpWSO\n",
"k1XOA6u0Ixtl4tqcqD1G+rKtTcLs2QMsf90hyheMNyQiSzBzbYvRfQPp+8t6Ov5Kn459qKoD69c7\n",
"UV6u4vbb/XjzTTkyGbJqNr5cyiAohIDNZoMkSdA0vZ5bum7ckz1O/bl+LN7YtfI6NkpOor68/34v\n",
"5s8vgqrqr2fjOUyUaxj2meMY9mltDNPoLhzC5vdLvda2pKvIe7R922xBhEL2uKFzRvsqHSGW6QrT\n",
"tNlsUBQHTp2SsG2bvp9p04IIBiX85CcuNDbaLRdil2pYYM9+SnV/fd2+sw8FmppkqCowfboCt1uD\n",
"zaYBSH08p9IuM86xrvtPNHZtNhs0rQBer2pKOyh9El37oo2pqioFp093Xmd6stp1JxfwfsL6rBL2\n",
"ySd/RGQZnSnRBWpqgpHX9P/M2bcucSZHI/+YpqPgcbqKJocLad95Z/T9rFvXjvnzi9DYaLdUNr50\n",
"ZxDsGprW8wlZWLwww75sn6gP6+q8kGUngL7f+Pb1OJl5jiUzdlVVRVlZMVpbW9PeDupfPceUEAJ/\n",
"/asDs2cPiDzx64lZQIkyh5M/IrIcM5MZ9N53gaHQOUnqMLBvY2F4sqzEaEvfQx57h9kl3s+qVV5M\n",
"mlQc9bdYIXtkuCj7xIn68QqHrMa6oYy9n9TCDJPd3six/+lPfRgwwAEhAhk5zmZ8V7JjV5IkqKrK\n",
"pxQ5IjymZFnGkSMi6fOUiPoHwz5zHMM+rY1hGpmVTOic2x1AaWlp3NCnVDPfGW/PKRQVBaAoStQw\n",
"uyuv1EM7E2W43LXrFG6/3YVHHvFEwq8ynRk0fAwWLnRjxQof7HYN27d3D1ldurQQjz3mMRT22XW/\n",
"qYQ7Gt3eaB++++4pFBdr8HrRp+NstayZybZH0zRe+7JEsv9OWW1s5gveT1gfwz6JiDIs2dC5dOzr\n",
"z3+WceCADStXFvYKhzO6j82bZVxzTXjtmKNXmF1trQ/nnRdKuJ9t2+yYN68zZDFdIaepUFUVbreG\n",
"des8Mduxbp0HkpRcNshUwx2Nbm+0D3fskOFyAfPnu/t0nFMNZ023ZM8l/lEyd1ltbBJRd5z8ERH1\n",
"q86b457hcEIohvYQCknYvNmO6dOBO+8s7HWDpar6ZxKx2TR87WtBhEJ6yKJVsmyqKgy0w9PHfacW\n",
"7piucMlQCNi1y9ZtspTscWbWTLIqjk0i62LYZ45j2Ke1MUwjs/oa9ilJUq91Wkb3tWvXKSxe7MbW\n",
"rfZe31FUFMTp03ZD+7j9dhfWrvVi0SIXGhoc3T5zxRVBrFnjwfjxiQqbdw8ftUKoVjKhr8XFer0z\n",
"RemcNPfXORVrTaTR9u/efQq33tp9HHR93+hxNjt7p1FCCAQCTjz6aAFUNfr6TIZ9Zqe+nlNWGZv5\n",
"gvcT1meVsE9W2CSivJVswelgMAhNc8LjcaK+3oX6ehc8HieAAgAwtK+ODglNTd2DLsLhcMnsY8sW\n",
"O7ZulVFZ2fuPO01NMoJBKeF+Cgo6J06pFDNPJ6Pt2LJFxvvv23H6tANAIWw2m2lt6tk+oCDqGNBv\n",
"do2NKb+/9zgIS+Y4d4ajdqCmxouaGi9crg4A/n6d+KmqA8GghPPOC2H4cBVr1njQ3NyG6urOcGmG\n",
"+uUXK4xNIuqNYZ9ElNeMhidJksDnn7ejttYdcz2czaZ/Pta+ehY87kt7jOxDVfX6WuvWtcfcj15u\n",
"QIKm2bIyOkBRJLz8sgMPPVRw5vgDNpu5TxOMrokE4vfhihVefPe78fswWZnLyBr/mKxb146bbnKj\n",
"rExjqF+eytTYJKLoGPaZ4xj2aW0M0+ibdJchMBaeVIDaWnfMBAbz5nWgrs5z5vOpFTwOF2dva+vM\n",
"uDl9ehCBQPfi7Hv3nooa9hk2Y0YATz7pgccjRcILu+7n7LNV1NV5AfiSDtvLdNhnz/BZ/fh7IUn+\n",
"mOdU6uPG2BgA/F3GlEBjo17kvapKgculIRQCFixwY9w4/drc81hbJROiEAI2mw2SJEHTNIRCoSjt\n",
"SXxMHnjAC0nqHuqXyWufFcqYZBP+O5Ud2E/Wx7BPIqIkJQq566tE4UlCCPh8EjZsiD7JAvQnPH5/\n",
"51pAWQYuuiiEiy4KweXS8NBDzqgTP6B3OFwoFIIkaaivd+DAAYEDBwQWL3Zj0qTiyD70sE0NpaWx\n",
"b1zLyjQcOybh1ltdUfezYYNe0sFut1smbM9o2GTP8Nnwb4kW/pmOcZPsGOgcU37Mnu3DNdf4UVIS\n",
"hCwHIMvAmjVeDB+uRj3WmQ6P1CdHBQiFnPj8czv+8IcCvPhiITyeAnQ9ZkaPSUcHLLHGy6zrBxFR\n",
"NmHYJxFlhf4oQxDrKUAy6+Fmz0avNs6YoZcn0DTJcOY7IQL43vckLFkS6/d6AQSwYgVi7jccXtjY\n",
"aMfmzdHb/O67Al/5imypsL2+hL4qioStW2Vcc43SY1/pGTc2my2pUgbh/fVMBpMoRHL9eie+//2O\n",
"jIVH6hM/JxQFuPPO+Mcs2fIOmX6KmekyJkREVsDJHxFlBauUIYhGCA1VVQouuiiElhaBw4dFtxv3\n",
"LVscuPFGCWvXerBsmQ+NjfqlNxxaqt/od7/p1J84dqCuTsOyZd5e4ajhbaJ/RkFBgYb/+z9bzKeN\n",
"4XaPHatiyZL4x/W3v9Xr6kVrpxmi/S5VBf71XxUEAhLmzy+K+7u6c6Cx0Y7ychXTpimR8Mpkx42+\n",
"NjLV32VkDHshSUGEQsaOc7pDGFXVgVOnJCxf3ruESF9Lk1iBla8fRET9iWv+chzX/FkbY/SNSSb9\n",
"f7h0QX99f3V1EKtWeeFwaHj9dRmKAnz1qwqCwd5r/BwOFR9+eAqFhQo0TTN8s27kBr/nZ2w2G9ra\n",
"7KioiF3u4corA1i71hv3M5lefyaEgCzL6Oiw4fvfd2PLFnvURCnhNZADBgQwbNiwM9c+O3w+gT//\n",
"WQYgYdq0YK9+MfL7wush29sljBvXt2NldAzv2XMKTqcGWY6fDj+8ptDn61wXWlUVRGELuoxbAAAg\n",
"AElEQVRh39PoJ/c79XPNSGmSaMekP699Viljkq3471R2YD9ZH9f8EREZZDS8bPNmGZKU/lIEsdah\n",
"VVcHsW5dO1avLsC4cQOxYEERbr65COPHD8Tq1QVYt66925q5QECgocEOTdOgKIrhm8xwLbt42/T8\n",
"TDAYTLh27sYbA2hqkjNe3iEeVVURCAQgScCwYVrMDJnhNZChUAjBYBCAA7W1blRUDMQttxThllvc\n",
"UfvFyO8TQqChQUYgYKR8BmJOzo2NYTseeURPoiJJzqjt6gxhdKOiogQLFhRhwYIiVFSUxN0uESEE\n",
"Dh4U2LbNSCinDEmSkiqVkilWKWNCRGQFDPskopwRCuk3z9Onpyd8q+vTNEDBqlWdZRxUFVi1you7\n",
"7oofSrZqlReTJhWnNa2/UXrpCf1/R1vnNGNGEC++aDR8MrMS/ZbwGkhVBT77zIulS9PdL4nLZ6xY\n",
"4YXNpiAYjLefxFQVcUMRrRDCqKp6KKzRUil9nfsxMydR+vB8IoBhnzmPYZ/WxjANY5JJ/3/77S48\n",
"8ognpfCtWCF1RUUSQiEVfr+E996z4cILVVx8cfzwuK4lCTIRWmaz2RAK6b9l61b9731XXKGgsFCD\n",
"LAf7HLaXCfF+i80WQCgUgs1mg8fjxIUXGuuX7dtlQ2Gf4fE3daoSCfPdtq17+YzBg1U4HNH305cS\n",
"FtGOvZkhjLIsw++3Gwr7fPfdUygs1OBwdACAgVIp3SW69qUzrJVhn6nhv1PZIV4/mREmTslj2CcR\n",
"kUHJpP/fssWeUvhWvJC6JUsKYbNJKCoKYvLkAF59NXHI5LZtdkyYoETa2N8hcPoff3wYMCCAa67x\n",
"45pr/BgwIADAB0VRsiJsLyzebwn/kUuS9AmI0X4x8vu6jr/GRjsmTSrG4sXubuUzHnrICZst9n76\n",
"UsIiWiiiWSGMQghomh0+H2CzIWE7vV4JDQ1yj7IW0UulJCvdYa1Gj71VxjlROpkVJk7Zi2GfRJQV\n",
"kk3/Hw5vCdfpMxrqEiukTlWBo0cl7N5tw4QJGoBknjzoxa77q1RCNLGS4JgdtmeGvib0CWdlnThR\n",
"wdixCqZO1VBaqkHTFCTaZc/jtHWrPfJ0Tg/59CU8Tn0pYdFfwuP+0CGBp59uR11dZ4hzz3bW1Xlx\n",
"441FmDOno8c+0hNGZkZYazaOc6J0sEKYOFkLwz5zHMM+rY3hNMmx2WxQFAfa2jpDV8Ihd+EMjuGM\n",
"iXv3CowbF4IsAz4fDIW6xAoPq64O4pe/9MDhALZtk6GqwJVXBhEKSQkzZRrN3phJ4ZCgZML2rCpW\n",
"2Gc4K6vdrmH7dhkOBzBtmgKbTe8nI/2TjuPUcx+BADB9utJtDIf1V9hnz31WVwfxq195UFSknQkT\n",
"kyGEXkIkFAIWLnTj1VcTh8vGE+vaZ2aIZi6N8/7Ef6eyQ7R+YsiztVgl7JNP/ogoa4RCIUiShvp6\n",
"J06c0P8hW7zYHandBujhW+3tEh5+uABPPulJqqhztJC66uog1q9v77Ufh0PF7t1tmDs30OsvqmFz\n",
"5wbgdmuR77Hqv6udYXsCNTXByGtWbnMsqqrC5ZK69Us4K+tdd0UfC/ff78W6dQX4/vfjF/pOx3Hq\n",
"vg8NW7Y4eo3hsGihiF1DGOONu2RCGHuO+8ZGOy6+eCCqq4O45poAyso0HD4ssGuXwBtvyGhstGPe\n",
"vA5TwiTNLByfS+OcyAgzzyfKXpz8EVFWESKA731PwpIlsW/kv/c9N1au9CXMxJko1EUIDatWeaOG\n",
"zAQCAosWubF+fezsj3ooWfb8NTVXsr+ddZYLK1fq/fL739sNZWW9/XY/li4txAMPJA5/Sk8xdRVA\n",
"AFdcIaGhwQ4hEJmAJApF7I8QRlWVsGWLA1u2OCKv/epXHkiSlPEQ5lTlyjgnIuoLhn3mOIZ9WhvD\n",
"aZInhIDNZkMwKMPvRyR86/LLFXR06KFzkgSsWePB+PHGC3KH9xsIyPiP/3BBUSRcc00A06crcTN6\n",
"zpgRwJNPehAI6LXPgM5QMrs91K1fJUnfR7QC7+HvlyQJmqbXq0vmyU28NY1WSu+d6Hem2tbwOdXa\n",
"2opg0A6/Xy8BYiQrazoyxcYT7bf1NRQxnSGM6S5Ab0Qmwj4zIV3nXibPYf47lR0Y9ml9DPskIkpC\n",
"+GbX4wmv99Nw5ZUKrr46gL17bbj11s7QuaVLfdi+3Vioy+zZSo/9Ag8/7IPTqaG1VWD79vgZPbds\n",
"ceCllwK47DIFV1/tPzOhscHjkfD3vzsxZowKWdagKBIUBXj1Vf2yG157aLMFoWl2hEIS2tokbNum\n",
"r6+qqlJQWKgamgB0bXvXNY0A4r7fn//Q6zeujpi/02YLIhSyp62tetkHGYWFEjZtMpaVtbIyZEr4\n",
"U7x+AgLoSyhiOkMYjYaS9kcIsxlhrZmQ6NxM5g87VjmHKfvkyvlE6cXJHxFZXmeq6t6hnk895YHH\n",
"A2zdmnyx8tJSFaoqx1wXuGqVF83NtoT70TQJ7e3SmSd6MpYudeHIEQlPPunB+vVO3HhjB5YtK4xT\n",
"nBy4807jaxMTHRO97RI0DUmteTSL/tTCCUWJ9zu9WLfOiZ/9rDAtbdUnmxK2b9eTqmRKon7q+tv6\n",
"0hfpegpkLJS0v8ZLdmfmTKbP+2M/lN+y/Xyi9GPYZ45j2Ke1ZVM4TSbDjoQoQFOTA7t22fDmmzK2\n",
"b7dh2rQQJk5UMGqUihkzArjoooEIBPT2XXFFMGHYp8OhoqXlFO68s/dasLAHHvDiuusCCTN67t59\n",
"Cm63BodDwx13uHD4sMDatV78938X4LbbOrB6dUHM75g3rwM//akPo0cP7JXwI/x+XZ0HvdehFaC2\n",
"1h11v0LoIXrLlxfG/d7o+42t72OgAD6fwL33xm/P7bf7MWlSca/jkExbJUnCWWedhePH9WQ/hw8L\n",
"QyHA5oV9xu4noG/9YJZUQlCTHRdGi7xbNTNn/N+crj63xtjJpn+n8pmRIu9WPZ/yhVXCPlnVkYji\n",
"0m9wCuDxOFFf70J9vQsejxNAgemFYTu/W+Dzz4Hhw1U8+mg7WlpO4eGHPRg+XIWiaFBVCbt3t6G6\n",
"Wg9/a2qSEQxKcYs633uvH36/hA0bHDE/87OfFcDpTFwc2m7XJxCBgITbbuvAI494oGnA0aMCdrsW\n",
"9zs2bHBAVfXwx1jv+/1St2MthIDPF7vtVVV6Sv5E3+vzCQiRuB9TGQOd6/sSt8fh0KIeh2jHIFY7\n",
"Nc2JI0c8aG/Xj4+RsRAurl5aqqY1/ClRPwHGf1t/SLZYu5nXhnQXjk+XRL85XX2ebWOHrM2q5xNl\n",
"BsM+iSimTIYdRfvu6uogamoCMVP2r1/fjvnz3diyxYGf/MSFdetiZ+L8/vc78OKL8dcFBgICf/ub\n",
"jAcfjF3wesUKL2QZAFQIYcPq1QU45xwV556rYty4kKG1h01NdkyYoEQNXY2WhjtR+u6JExVs25b4\n",
"e//8ZxklJcAVV8Tux1TGQHid37Ztdnz+OQytu4t2HIykIu/azvDxD39forFw//1erF/vNFSoPRnZ\n",
"mmbdyNO7/ro2ZDpBUVfGfrOSlj7P1rFD1mal84kyh5M/IopJVR1RyxwYKZcQ/iu4JEndslwazWLZ\n",
"87vDZRcSpez/7W89eOWVDgASVBWoq/Ni2TJvr1AXIAQg8TrBw4cF6uvtuP12P2prfdi2rXtx+b/9\n",
"zYbJkzsQDMqR9i5d6ku43+4Sh1IJISDLcpr/4Zawa5dAQ4M9Zj9GGwNCaJg2TUF5uYrGRjuqqgBZ\n",
"Dva6sQhvW16uYvhwc284uraz5/FvbLRj/vwirFrlxU9/6sOrr8qQpM4i78EgMH9+R8pr2nqGAuay\n",
"8PF+5hkHqqoUTJyoP7F9800ZzzyjP61KVEol2xi5Hq5a5clE04iIDGOsABFF1dewo3BYVCDgRHu7\n",
"A59/bsfGjQXYuLEAJ0/aEQo5E4YaRvvuqirFUAhlRwcwe7YfNTVeOBwdAHxRQ11CoRCqqoKQ5dgT\n",
"L1nWUFUVxB/+4MSkScVYvNiNAwcEDhwQWLzYjS9/eQDGjNHLOfh8nWGNb74pY9q0IHbtsqG6OvF3\n",
"/Nu/KYi1lEaWNVRXK/jrXx2REDNVleO2/c03ZUyfnvh7p08P4q235JjhY9H6obo6iObmNqxZo4fd\n",
"fv454PFI8PnsCASih7+Fj4fR9kQ/BvGfknRtZ7Tva2y0Y9KkYtxyixv//KcNmga4XBq2bJGxcKEb\n",
"/hTmKLFCARVFxpVXJv7d8X6bFYWP95EjUrexMHy4ijVrPGhubsORI5LhsOJskMz10Mh1JVGfq6qa\n",
"lv0QEfWU/VdkIjJFMmFH4Zu7cFjUunUFEAJYtqwQF188EAsWFGHBgiKMHj0Qd97pgqpKEMIZ86Yw\n",
"2ndPnKgYLt+gaRoURYncFKmqCkVRer0WToEdy9y5AUgSIiUktm61Y+XKQqxcWYitW+2YMycIp1O/\n",
"Oeva3vA6s6lTgxgwIPF3BIPA4sX+yJrFnu+3tQGzZw/AggVFqKgowR13uFBYiJj7bWqSYbPFfj+8\n",
"344OCU1Ncq9+DOvZD9XVQaxb147VqwswfvxA3HKLG7fcUoSKioG45x4XhADWrSuAJDlhs9ki2yaz\n",
"7q6pqffkL1Eq8p7tjPV94T5csaIQr71mR2urwM03u9HQ4Ij6+43oDAV0o6KiJDLWKypKUFvrhtMJ\n",
"3Htv7CfB2ZhmXQiB996z4cknPT3Gghvjxw/E6tUFePJJD3btEmhsdECSYp/r2cLo9bChQY57bgLG\n",
"+tzo9Snbxg4RZR7DPokobVTVgTvvLMRtt3UkDM/86U99GDDAATPCwiRJgqwvxIu7xiFRCuy6Oi8k\n",
"CfjOdwJxU2T3/DuaXmuwEL/9rQdPPeXE/ffHXjN4//1ezJ9fhLPPVrFqlTeS7bJrG268sSiSAVNR\n",
"JKxfX4ALL1QjZSKi7XfQIC3q+w6Hinvv9eN73+vAxo16yF7XCVfX0MVwuK7+urGw29tv92Pp0sLI\n",
"d4ePR6J1dytXevHEE04Igciau76mIjfyfeHjHi3DajKMhUZ7sW+fwLPPOnMmzfqYMWrCsbBsmQ+/\n",
"/rWMhgZXzoWAxibBblfinptG+5wp+onIDCz1kONY6sHarJxCWwgBj8eJioqSuCny9+07eSaUEvB4\n",
"nFi0yI2f/9ybMLV+Z3mE6DXsen63kfINentOQZY1NDQYK4gcPQW2AqdTi9T4mzQphI4OCY2N8pn3\n",
"u6fIjtXehx/2YOzYgVi82I8f/ciP06c7CzWH1wz+5CcuNDbaIcsa9u49hXffFWhtFaiuVuD3A7fe\n",
"6o60q+dv/ec/T0KWtV5tdzj0tkuS3na/X0/uUl6u4UtfUuD3S9iyRX+aOW1aEMGghMGDVTgcWrdi\n",
"0ldeqb9XUTEQ06YpSZVMePxxD4JBdDsm1dVBrFrlhcOhnVk7qYe86sXuAwiF7H1KRR5rrFZXB/HL\n",
"X3rgdAJ//rMMQOp13MPt3rv3FNxuFUByBbiNnyMavN7cSLMuyzJOn3YkLIGyd+8p/PrXTjz0UEHk\n",
"OhH+rVa+9kXTl+thOlLrWyFFf7b1Vb5iP1mfVUo98MkfEUXVNewoVp2prmFHsiyjqcmeVIbLceMU\n",
"XHCB6HUDE+27u4byxWtPIIBuNf8SZR/sTIEtUFMT7PIa8JWvdCbvcLslfPe7Tpw+fTryNDG8q2jt\n",
"nThRQWOjfhxsNuCll+zYuNGJCRP0xBiLF7sj4aSdx0TGt77VAU3T8Ne/2jF7du+ad12PYUODHTU1\n",
"XhQVAVdfrT8xe/JJJ372s4LI7y8oCGHPnjacf76KysoQ7rgjdpH1J5904j//09XtKeHu3W2YOzeA\n",
"8nLVUL9u22ZHZWUIDQ0yZs5Uuh2T8Lq7qioFEyYoGDcuBJdLhab5of+NKtSrH7oe51hijdXGRjvG\n",
"jSvGO++0oaQE2LVL9DruQDi0VsJ//ZcLK1YYz1KZXEZGL1wuNenfZlXhcOFY9N+tJ9bJhayUyV4P\n",
"db2vK8n2eazrUzaPHSLKLE7+iCim/g476hpyqGnBXqFTiUL5wiGS4YkPYCwzaTQ9w0UlSUJhYSFO\n",
"njwZoyi1fqxGjw7h1CkJkycr+PTTzptjTdPXm0Ur59BV+En9kSM2wyGJiiLj9GkpalF3v9+G//f/\n",
"3Fi3zoM77kgcsnn33Z3vBQICixa5sX59O7Zv18s1GBc9/E1VJWzfLqO8XMWPf+yHpgW6Jbvpayry\n",
"WGMVkPDCCw58//sdaGiwY/v2zolfeNw8+KAX9fV2HDpkw9KlhXjgAXNCFJP5bX0pnG41oRBiJjLK\n",
"Rn25Hqar77J1DBCR9TDsM8cx7NPasiFMw2jYUTgsqi9hn4AeIuXzdYYcVlUF4XZrUFV0+249eyJw\n",
"+rQUmUhdcYX+2Ztu0mv8xfrOnqFnXX9fz+/uGSqaqK869yPQ1CRj2DAVY8aoSYVM9gyhNRJiVlQU\n",
"hN9vR3u7hHHjou+/awhqopDNxYvdvSaoM2YE8NRTHni9UsJQv3ffPYXFi1145BFPWsPfjAj3QUeH\n",
"wNat3UN0bbYgQiE7fD6BP/9ZhhDA176mh/f+7W8yDh8WPUJgEz/9MxoKmExIqdHxmElGf3d4PG3f\n",
"Lmd92GeYFcIw+1u29lW+YT9ZH8M+iSgrGA07CodFlZaqhsIzJQmw2fR/oOIXTvaiqCgY+W5JkvDi\n",
"i078z/8URkIot2+XEQoh5sQPiF0sPR2FqqPtRwgNzc16yOQzzzggSUh4TAoKOkPGjIaYAcDBgwK7\n",
"dsUOw+saghrv+MQqsr5liwN//KMfM2eGErapqEjD1P/P3plHWVHd+/67azpTD8iKgsQhcbg2k0C3\n",
"MZr4BLpbUdSAmnu9BOkw5KEIYVLaRpMlJA9suhEwBjWJYkOiPvOSIEl00fQoxjgFFMQWjENMvIBG\n",
"xR7OVNN+f+yu02eoc6pOD3Aa9nct15JzqvZcp2tXfX7f30St3/E3NzJNE4REcdZZX8G0accS6jIM\n",
"QJII2tq8EEWCG29U8cQTiYisNe81NSGIoug4725RQLdI6fFKnN5Xue235d46c+bJ40rJMUwuLq7B\n",
"Lr754+LiciU32JEgqKipIXj88cwOl9XVIUgSYJqqS7fEICwMj7l4CgkIZWVluFdJxPuSxN6pnHjH\n",
"SUIoBIG5PmYak3inS7eI2fHL2CNAlqMZXQzXrg1h61YPZs+Odr8F6Tn7eGJrsizDMAzbp99HjxJc\n",
"dpmOFSucHTqB1NQbyXKaJ8tVlKUgIRnXU3+tx+MhN/2eOzeAmTNPTldKjmFycXENVnHs8yQXxz5z\n",
"WycjpmFhUbpOYBgEus7ezAHA5MmWsyMFwPJXJeNjgkBRWqqjuJi91du3T4whhMnOmqbJkr9/97sq\n",
"rrlGxW23BdDQINvGyiVjn27QNUUx8fe/t8Pn00EpxWmnnYbPPvssYa6cyikr0/Dznwchy8CCBX7U\n",
"1ISQn0/x8cfMSfSsswx0dhJUVvrx6KPBBDTODWImCAJU1YNQiMSwTkFgyZ9vvlnFmWdSUApcdJHR\n",
"a+wzGTH94gshzrEz0bn0hRdSEb/+VqZ4uEzXlDVWmRDZ+P667UM88uvkKpqu3GzdJE/kxsMaf0II\n",
"DENMcDEtLdUhCMBbbwkYM8ZIi0OeyN++XImnzJV2OOlk/Dt1MorPU+6LY59cXFwnpSwsSlF6bhBv\n",
"vJFt5CilMAwjdpNjOYQmpwKQZYrWVnYzWVERBUBiGJ6FnK1eHcbUqVr3sRLq62Vs2hRCJJJ4w20p\n",
"2YnPyanRakskQlBf7+v+LAiv15MS65ipnKYmGXV1Hpx3ntG9KSXQNOCdd9hN37BhJgBmhJKMpbpF\n",
"zCQJyMtjb1wOHxbw858HkZfHUgu0tEgQBIpLLnGP6dl9ZyGm9fUybr89EHPsBFKdSwfK2dHaZMWn\n",
"o8gmHs40TXi9FM8/79ah010fmNutjrY2Lz76iG3q7VxFM5WbnXPoiXHNzDT+06eHE244L7ss93DI\n",
"vq6fk60dXFxcp6b45o+Li2tAlO2T7LIyDXV1XbjnnnTxThSCwDaOoqhh3jyCFSvsj62r64qhdr1x\n",
"JnVuS3axV5SyTV6mMuvqurB3r2h7frqxjI8RO3qUYOvWIAhh6Ghy3NhVV6moqwsC6H2SdQsxNU13\n",
"zqX9KbfxcE5PvAkxINoPc5919KiA2lrfwBR+guU8/iFQeuLjEdMpV+Ipc6UdXFxcp6449tlLRaNR\n",
"vPXWWzh8+DB0XUdBQQEuuOACfO1rX3M899NPP8X+/fsRDAYxYsQITJgwoTuOqf/Fsc/c1mDDNNxg\n",
"StmgTBbqNmpUIV59tRMbNnjTvpmaNSsaF/vnRVVVIOVYCxmdMyeKSZM07NkjYPRo0xY9S4fZWUYt\n",
"btoiSToIIejokGzLsfDVCy7QMXWqjpUrU+O54su8//4QRDGbGz8vVq704/BhESUlGubPj0LT7FM+\n",
"AGxTu3kzQ1CTE9ZLkg5dt5Ksu09mn6yBQxPt59ySNSeERB1dWQeiD9mUm5/PMOL468Nt4vQTh326\n",
"G38rHtHpd8Dut29gMcjs2j9wypV2uNdg+zt1qorPU+4rV7BPvvnrhV577TX84he/QFdXV8p3o0aN\n",
"wrJly1BQUJDyna7r2LZtG+rr6xM+HzJkCBYsWIDx48f3e1v55i+3NVh+rN3Yz/fGop6d48G2bR7c\n",
"cIPqKhVCXp6Gzk455SY7ERmVoCgs/sjnMzOgVKk3YuXlmqu0DAcPtqOtTcDRoyRlY5eMr551lo4x\n",
"Y6iLG/t2+P0R13FmqurBF18IkGWKd98VMWGCjlAoczxbchwjwPIEsnmTMHw4RXGxAVmmAHTouu44\n",
"ZvFim9ggCOm/m9dsNlaBgIphw4Y5XFMD1Qc35Ybw/PMsLrDn+gCCQQJCCFatst+4961dfVM245+X\n",
"p8WtJ3epUwghWf92DFT7BzpWNRfaka0Gy9+pU118nnJfubL549hnlnrvvfewceNGCIKA73znOxg5\n",
"ciQA4O9//zt27tyJtrY2PPzww6iqqko4zzRNbNq0Ca+//jq+9rWv4frrr0dhYSHa2trw3HPPYd26\n",
"dVixYgWKi4tPRLe4uNLKDaYkiioAJSuUySq3rs6DefOi2L7dXbzTjTcaKbFRvcU07RwLi4t1tLam\n",
"T5tgtWXnTgkffSSittaXgFQePUqwZUswoS2VlWEcPmy46J+EadMEVzd9oihCUYANG7x4+mkFy5dH\n",
"MHQoxYEDYsZ6VFVAfX1P3JgTyicIZtK8ZZ/ouq/KNh7OubyB6YNTudXVIcye3ZOLMv7zBQsCME2C\n",
"urqufm9XX5XN+E+fnoocO/0OZPvbMZDtH8h4ylxpBxcX16ktvvnLUjt37oRpmvjv//5vTJs2LfZ5\n",
"cXExSkpK8KMf/QhvvPEGjh49mrC737VrV2zj99Of/hSKwv74X3zxxRg1ahTWrFmDzZs3Y9OmTcjP\n",
"zz/u/eI6eeWEUiV/b33Wc7wb+3lg5Ur2xkIQKMrLtZhb5969Eiorfbj//kSL+vhyhw6lEITePakU\n",
"BIr160O45x73FvnxfQY0VFcHsWpVCE1NMkaONPDOO26Cwnpu4BoaFFRUEGze3IW8PNjinXYOpH2R\n",
"pkm285KNeptaQBB0VFeHYmMG9CCibHPStxv1gXZAZG+qo6iupv3ah/Tl6tA0oKIiL8GIKH6ca2rC\n",
"KCkpwOzZeVi/PoSqqjB275Ygiv03tsdDu3bJrtcTM4CSB016Cy4uLq6TQRz7zFL/+te/EAqFcPbZ\n",
"Z8Pv96d8f+edd+Ljjz/GsmXLcNlllwFguOdtt92Grq4u/PjHP8aYMWNSzvvZz36Gl156CdOmTcP3\n",
"vve9fmsvxz5zWwOJaThhmABsvtfh9VLs2SPik08ETJmiQdOII6548GA7Fi70Q9dJilvnpEmsjKFD\n",
"TSiKfZqFbFDLQMCEqhKcf35251pIoGHItmMiihoIIWlj+JLLs0uLcO21UTz0UDhlvLJpoxvcyw4f\n",
"Ky/X8MgjXVBVd2kM0uGz6doEJK8XiilT2HohxEhwce2NMq1XSdJdt9Ud9plY70BsNuPTIYTDEi68\n",
"sDCWTN6u7fHryYoXLSnRsXhxBJKk2eC3x09ucUXrd6C+Xkl7jLWeKKX4yle+gn/+s2vAMchcwS1z\n",
"pR3ZiuOEg0N8nnJfuYJ9Hq/swCeNzj77bFx00UW2Gz8AsT/QstxzQ/jmm2+iq6sLp59+uu3GDwBK\n",
"S0sBAC+99FI/t5jrVFQPqhlAUdEQzJ+fh/nz81BUNARVVQEIgifN94VYudKP4mIDzzzjwSOPeNHQ\n",
"4IxANjZKmD6doZcbNngxfnwhFi0KYNGiAMaPL8SGDV4oCkMVrfbF40/NzRI0jWDGDDVtPTNmqOjo\n",
"ILj7bj88HmD16jAAdGOazijVgQMiGF5mPyaAAtM0oWlsw+HUFru0CGPHmmhsTB0vt/2LT0WRSXb4\n",
"WHOzhK4uAlGEq3rYOe4QNFEUbdZLPs4/fwjuuisA0+wbROK0XimVXc2J2/GLl2ma0HUW29ifN9tW\n",
"uZRS1NfLaTd+ABvnlhY5ljrDclNdt86H5547fo6q6WSlV3Eaf0KAhob07bXWk7XZ1nXd9RrseVM/\n",
"cO3vzfoZjO3g4uI6tcWxz37UBx98gKNHj4IQgnPOOSf2+cGDBwEAY8eOTXtuUVERZFnGZ599hs8+\n",
"+wxf+cpXBry9XCefBEGAKIppkUBdJ3jySQX33hu2dYSMR63Wrw/h//5fGYbhDlecMkVzgV6GAKTG\n",
"ZJkmy82XKd5p7dpQLH0DpQTV1SEcOiTA6Z7QwlAvucRAU5OMI0eEhJgpO7zMKXbLaotblNNN//oa\n",
"z8XqCODXv+7qHufM9bh/9kczrqf+QPPc4Kc1NUHU1jr3iz/wHhi5iZN89VWx3/Hm/tKJiFXN5XZw\n",
"cXGduuLYZz/pyy+/xH333YejR49i/PjxWLlyZey7+++/H2+++SbmzJmDa665Jm0ZK1aswD//+U+s\n",
"XLmy35w/OfaZ2+ovTKMHmRPQ1ibgootMjB5tj/6Vl2t48MGgIxq4b1876uo8+JPlD7YAACAASURB\n",
"VP73oy5wxXZQSrNCCO3wJ8slU1EoWlqYY+eVV+oIhxMTt/eURaGqBJEIse2vVZ7XS/HiixJUFZg0\n",
"SYempSaCT3Yr1HUCwyDQdaC1lT0nKy3V0dlpn0QeAKZMUbF5cygtJmu1Jz+fxt4aJqdTcKNM+FhZ\n",
"mRZL8m45eAoCizvzenucT90iaO+//yU0DQOGqmXr5GkYVjqKxDg9q1+5hj657Z8dRpxrCKD1O2M3\n",
"/qKooatLcb1Ojif26ab9JyLJ+4luh1vl2jXFZS8+T7kvjn2eRPr0009jG7/TTz8dt912W8L3X375\n",
"JQA4vs07/fTTAQDt7e0D01Cuk1KJyFwh/vIXGQ0N6VGq4mIdLS3OqFVLiwxC4ApX9HqpLe6YXKaF\n",
"b6XDn5qaZJSUFGDJkgCGDGEblsWL/SgpKUgxymBl6VCUKPLyUsuyHEA3bPBi7NhCzJ+fh0WL8mIY\n",
"al1dF8rKtJQyCZFRVRXA+ecPwQUXFOKOOwJ4/30RgQBFIECxcaPHduMHsETumbCupiYZGzd64Peb\n",
"mDYthGnTQt2bYXfpHSxlwseammSMHl2IJ59UUFho4uabI5g+PQy/P5JQTzYI2kCiedk4IBJCAETg\n",
"90f7NH7HU27H2Q4jzjUEkLXDfvwNw8gaaZQk6bhikJnafzzHOFfawcXFdWqKY5991Lvvvova2lp0\n",
"dHTg3HPPRVVVFYYOHZpwTCTCUCiv15uxLOv7cDg8MI3lOimVDpnrD1GKtLiiophYvTqCefOiEAQT\n",
"I0Ywx0632Fc8/vTMMzKuvNJAcbEOQQAKCykmTtRimGcmWQ6LtbWItdE04coBdP36EEpKChLanOxW\n",
"2Ngox97GrF0bRG1tGFOm6HjrLRF/+5sUe7M2Y4aKmpowADWhLclYV01NGJSq0HV3sX3pzEhEUUNt\n",
"bQijRhlobycwTeasunu3iFtu0TB7tgrTzFxPJgTte9+LorY2DEEwMXKkgfJyDa2tIiZNMlBSouHr\n",
"XzcBEHz4oYA9eyQA7p80x/eLbeiye0o9UC6gAyW3KSCsdZjrCGC68c8WaSSExNax23MGsv3HW7nS\n",
"Di4urlNLHPvsg5qbm/HYY4/BMAxcdtlluOOOO+DxpN6AL1myBEePHsWPfvSjjHF/Dz74IP76179i\n",
"7ty5mDJlSr+0kWOfua2+YhrpXB8zOUtmg31aGNpVV6l44okgolH2ZmnYMBMlJQYikZ63FU5IpOUG\n",
"WFCgQdO0WPsBBYZBEAwStLSwjVRpqY5oFFi8OJC2rGQULB6levttMSP6atdHJ7dCO2Rz4kQdksTK\n",
"kqQeZEsURRgGc65sbJS6x13vdhVVHa/JTM6XoqjBMNibMkrZZra5WYJpApMn6wgEKESRAnCHj9kh\n",
"aFOmaJAkIBxGQv2KArCpYzjsCy9IoJShufn5FJKUuW/p+uX1AnPm9OS/S1Y26F+uok+ZUT8gFBoc\n",
"CKCT3CKNdkneBwsGeaopV68prkTxecp95Qr2yd/89VLPPvssnn76aRBCMGPGDEyfPj3tsT6fD0DP\n",
"G8B0sr63js8kTeu5gU4WISRWhmVdz5Wbsuamt3OUzvXRQjXt3gY2N0sxR8h0bwuTMbThwykAikBA\n",
"w/TpOkxTwooV9kmZ6+q6bN/YWW6AgARRNGPxWQDBypXZl+XxUFBKY2PH/j+KQEDA5ZeL2L7d6wpt\n",
"nTBBR2OjnNGt0DmJPDOyMU3a7WiqYOVKHz75RMDFF7PN0PbtCoYNM1FTA4hi+hvaTEmvV68OY948\n",
"gro6Dyoqog7tcXftx4/btGla94144vyWlWm49loN27ZZ9frS1Ju+b07JvOvqgqioILabfbv5Tqe+\n",
"XlMDpeRxtj4zTROUIu3nudYPJzn1M3l+CCGuz+E6McrVa4orUXyecl/xcxMOhzNu0mVZTsgc0J/i\n",
"m79e6JVXXsHTTz8NSZKwZMkSXHrppRmPHzJkCADgs88+y3ic9X1hYaFjG7Zv347f/e53tt8NHToU\n",
"jz76KADgjDPOcCyL68Srt0+CGCKc+KbFjbPk0KEsMXq67y03S0EAZs6MYv36EE47LR+SJOGTTzpQ\n",
"Wel1jVPGl/naaxLCYYKyMgHDhuXj0087e1WW1R5ZTkSsE8fFrXkKMGsW6+Mrr0gp2KrbJPI1NfZ9\n",
"qq9PrI9SgpoaAcOHF6T8kaaUph1f0wSmTtVQWenDsmVRV+2xqyOT7Oq3+n/vvb2vN1O/4s/dvDmI\n",
"iy8uiKVFcDvfdsqFp6tczuLzNHjE52pwiM/T4NCyZcvwxRdfpP3+u9/9Lv7rv/5rQOrm2GeWikQi\n",
"+OEPf4iOjg4sWLAAkyZNcjznqaeewo4dOzBp0iQsWLDA9hhN0zB79mzouo5HH30Up512WsYy3b75\n",
"+/TTTzn2mcMihGD48OE4evRor7HPdA57Fqbo8VD85S+JzpKiyNZOqnOiDo+nJ8l7/PGWQ6QbR7+D\n",
"B9vR3k7Q2Ulw1lkGNA3YvVvGNddoePhhD+bPj7pOMn7wYDva2gQcPWrfnvg3f/EIqJt2trW1w+Oh\n",
"UBQKSTIRjYqYNy+ApiYJkyaxGMTzzjNRVqbGENLSUh3FxSwf2969PTF/mRKnW0m7rZjGBQsi8HhS\n",
"35BlareF8955px8PPBBKwHrjyweAfftEPPxwEIFAdsicVf+oUYWxGMzzzjMwcaKOpUtT67UbU8uV\n",
"M75et/Nx6FA7JInlxQPger7j1ddriitVbsY9W/F5GjxymquBWB9c2YtfU7kvQRAwbNgwAPzN36BS\n",
"Q0MDOjo6cOmll7ra+AHAqFGjsGPHDrz11ltpsaW3334buq5j2LBhjhs/wP2ioJTyH4FBoN7OU7zD\n",
"XvIbFcs5c82aMGbOjEJRaLdxggnreYAgUPj9CqZO1fDhhwLefptg3DiKyy7TQYgBwzASjieEuHJm\n",
"bG6WcNFFBg4eFPDVr5rIy6M44wwTO3fKmDVLBUBcuzw2N0u48cZIzByBoWACKPWgqys1Jk4Q1Izj\n",
"YmnGDBV+PxvzYFBAczOLN/vZz0Lw+SiiUaC+Xum+mSHYt68DpslMcFpbWZ0VFcGEtBE33mik9Mna\n",
"hMsyjZ0XiRBIkgJBSIxhyzS+VjL7ceOMhKT2duVXVERjY5zNwx9CWLzkq692xsorKjLx4otSSr12\n",
"slw5p03TEtaz23XT1CRh+vRwDP1zO992N5v8t6/vsuL3shn3bMXnafAoea6Ox/rgyl78mspdxc+L\n",
"mxCvgRLf/GWppqYmAMgY45esiy++GAUFBfj888+xZ88eXHLJJSnH7Nq1CwDw7W9/u38aynXKyMlh\n",
"r6IiCkkCTDP1bQwhnrSxeyxurHdvjVUV+POfFdTW+pJQUh8WLgzEyh82zN3NgWma0HU9od3pYsdq\n",
"awkEIQrmupl+XNatC4FSpC1n7doQtm9X0NTEDG/q6oIZ4tW6sHevmNJu51hBpGwAs5Fz+RSCYLgu\n",
"nxCCSy81UFnZU15lZRjnnHP86AFKaWyuAffzzW80+1d83Lkyia8PLq7BK775y0KhUAhHjhyBKIo4\n",
"99xzXZ8nCAL+8z//E48//jieeuopjBkzJiHtw+uvv449e/YgLy8P119//UA0nesklpXqoLqaYtWq\n",
"MJqamPNjaakOv99Kv5D6FDZdioj4GKzqagogEneOidJSDZJEM+J7kyfrWLLEA0GgmDRJx5lnmti9\n",
"W8bPfx7E2LEFsfLvvz8Er9fAFVeYKSilFeNXVqYltD2bdveMSwhNTTIMgzlTqipw7BhBdbXPMd7w\n",
"G9/IR01N2LHO++8PJYyP23QT8WOcaXz37pVQUcGwz4qKKBTFdCyfEIp16ygkSY+Vn+lmTNPElH6y\n",
"eqO4806l+0FC5rlPni+nfjmdC7AN+Jlnmpg0SY+tjUzrlKtHmdKFZJLb60wQ1F6VzzW41Zu/H1xc\n",
"XLkhHvOXhf79739j0aJFEAQBo0aNynjsueeei4qKiti/KaV44IEH8Prrr+Occ87BDTfcgIKCArS1\n",
"teG5554DpRR33XUXiouL+7XNPNVDbqu/rZkFQYAoijEHPQvbtDsuOUVEstLb63tRVRVIi1POmhXF\n",
"smURVFb6UFsbjsMRKaZMYRuvxYsDeOEFCYcOtYMQilCIxJDFSZO0GEo5YoSJ++8PgpBIn9otSRI0\n",
"TcZDD3mxZ48EQaDYsME5fm3fvnbU1Xnw/e9HXcS6tcPvj3TfFAVw5IiQMeVG+jG2H19BoNizpwMb\n",
"N3qwbFkUO3fKuOEGNW35dqkpMiFZ6cY2ud4NG1JNWyzNmhVNmK9EOa+b5LlmaSEE7NwpASAJa8OK\n",
"U00eQ253zpQpXYgTkuf+OkuM0cwG+ePzNHiUPFd9+/vBNVDi11Tui6d6GISyLibTNHHgwIGMxyb/\n",
"2BFCsHTpUmzbtg319fXYvHlz7LshQ4ZgwYIFGD9+fP83muuUktsn727j7az4rURcNDNOuXZtCJs2\n",
"efHEE8G0OGJPCgcJfj8we3Yg5Zht27ricFVWtyiKvW7388/LWLeOMfaVlWFX8WstLTKuuEJ3Gesm\n",
"Ydo0ARZu2tQko7VVyrqt6cZXEFgfamrCePxxD+bNi2L7dvt2OeOgqUhWujUR7x67bZsHa9f2LiF3\n",
"NgnAnZCy+BQg6eb7VFZfkTy3vw+7dkn4xz/E2HXFkb9TQ335+8HFxXXixTd/WeiMM87AM8880+vz\n",
"JUnC3LlzccMNN2Dfvn0IhUIYPnw4iouLIUl8Krh6r96iXb1RImYair2BmTRJRzBIMHduADU1YUfc\n",
"cf36EF59VcC+fYkbpERsKAhBYAZHzChJgNsX2dZ49IiivFxDcbGOb39bx//8z8DkQrLGp7ycYscO\n",
"pbstrO6bbtJw5pkmjhwh+P3vFducdunG13K+BDTMnk1BKYGYGmboOjVFNkhWU5OM2bPzsH59CLoO\n",
"rFoVxo9/HEZra6KLrGUolGlc0vUr/lw3SFl8CpD+lts36Lmq3iJ51u8IezptdiPj6cfXMEjCRl/X\n",
"CZ58UsGoUQbmzqUQBJ2joFxcXFw5Jo59nuTi2Gduq6+YRm/Rrv7Adqyk3YZB8O9/EwwZQnHRRSxF\n",
"gBvccf/+digKxe2356GxMXUTJEkU77//JUQRCAYJWlokjBhhYtQoE0VFmcu2UjhIEks6LggCVFVC\n",
"ezt7mzdihImxYw2MHNmf2GfiWFljvGBBAJs2haAoQEsLi8ecPJnFY3Z1Efj9FIqSfozTbeolSUJn\n",
"p5IyFuXlGh56KIixYzO39+DBdgQCJgA1lkbBaU0oiolDh9rxxRfAmWeycgAj681Rpn65XZv79rVj\n",
"yZIAWlulfsM+49e0teYEgcXP+nzmoHAw7M21bf87oqOzMxGxTS7DmgPr+rVQY0WheOmlzKgxR9QG\n",
"jzj2OTjEr6ncV65gn8mPxrm4uAaJetCuAIqKhmD+/DzMn5+HoqIhqKoKgBCPzdsvJtM0Y6kQ0mnG\n",
"DBUej33OJqvuysoAvva1ISgpKcSXXwq45RYtlpLACQl64QWpOwWA/VvviRN1KAqwcqUfo0cX4vbb\n",
"8zB9ej46O4lju7u6CC68sBBVVX4QosA0Jaxc6ce4cYVYtCiA7343D11dzuVEowQbN3qgac7HJo+V\n",
"aZoIBCi2bg2iutqHkSMLMX9+Hm6/PQ+jRxfinnv8KCigiPN+SpHlcqrreso86DrbkCS36+abVbz4\n",
"ojNuunOnhKYmJbZO3KyJW27RcOyYgG98YwjOOWcI7rwzANPMnlrI1C+3SFlLi4wJE/SM6zQbsQ2p\n",
"B6ZJEtYcu6YKHa+pXFE2SJ61Cbf/HSnEhg1e1NV1oawsNaesdX1Y16+FGm/Y4MW4cYVZ/R5xDS71\n",
"9e8HFxfXiRX/JebiGqQyTQUrVjC0yw6bXLHCD9NU0p7PYrBCmDUr2v0Gh0mSKGbNiqK2NgRZ1iFJ\n",
"EiRJSrhxS67bigtbuzaEceMMAM5PHUUR2LVLssXKLHSxsjKxf/H1pGv32rUhrFjhh6oKePJJBceO\n",
"kZRxclPOunUhPPmkAtMkqKz0obo681h5PCYURYEsywlj1dLS41QpCDRhjqqq/Dh2jMA0FQiCYDvW\n",
"mZQ8h4JAMWWK5hqN3bdPRGWlD4ACSZIgywbWrw+hoiKScWzj3Tad1tnAiWLcOAO1tSGIYvqbULcy\n",
"TbZWLFyyN9fUYFS63xHTBI4cEbB7t4xf/SqIq69WIQg0thaqq0OorPTBNEkKanyqjN2pLDd/P/rj\n",
"uuTi4up/cezzJBfHPnNbvcU0+gu7sXCvSIQkxGD5/SxVgR1OKooauroU27rLyjT84hddAIgjmnno\n",
"UDt++UsF69b5U74vL9fw4INBjBvnzslSVRlKqaqJmFo25TQ1SSCE4W6CALz1loCiIhOSxNqrKIBh\n",
"sDFpaWFvOyZN0qEo7LtQiMTKmDJFgySxY52cKg8caEdBAUUohF4lSo6fw7ffFjF2rIFQiKTtc3y9\n",
"v/qVB7feqto4ggLhMLBrlwxJAq64Qkc0ao8A9jfe5XZtJ2OrlnpzTTEsmCWRdxq3XEfZsvltyMvT\n",
"0NkppxxrXRfMqVeCorC1LorswQylBKZJ0dkp4K67/CAEWTvbckRt8CjdXKX7++H18iTvJ0L8msp9\n",
"ceyTi4ur18oW7Uon9sc5Ar8/imnTQpg2LYRAQAUhJC1OCih4+23Rtu6mJhmPPaZAFJ2RIAAYO9b+\n",
"wURxsY7du9Oji01NMkpKCvD22wKuuELHRx+JWLIkgJKSgoTNSXGxjpaW9OMUX85NN2nw+4GFC/24\n",
"4IJCTJtWgNGjC7FqlQ8eD/DEEwrmzvUjEKDw+4H33xfxy196IIrA3Xf7UVRUiNtuy8Mzz3ggCCx5\n",
"fFFRIRYtysOiRQGMH5+K0ek6we7dEpqb5azRXUvxc3j55SoaGiSoqjOmqigUS5dGsGGDF0VFyZie\n",
"H34/MGaMgf/4DxOLF6eOrSU36ywbuUXKfD4Tphnptw3nP/8pZFwrQP/3dSCUDZIHIOV3JB7fHD+e\n",
"rd/58/MwahS7FhQFmD/fj6KiIbH1fPPNqktH3NweO67sZPf3w++PAuif65KLi2tgxC0mubhOchFC\n",
"Ym6y6Zz3rM9ZDJCCxkYZR44IKU5+llPg6tXhBCdAQaAoLdVRXKzj8stNvPGGmDElwNq1IfztbyLK\n",
"y3XMmhVNOWbcOAPBYOZ+mSbB0aMCCguB2lpfr8fHNAk++URAfb2AW2/NS/guvs/Ll0dw7bUa7r6b\n",
"oW1W/rt4V023TpvxTpWGwfDL9I6n7lw5e+a2JzUDYD/+NTUhhEIE99yTOcn9T34SwvPPS7aGPAOp\n",
"bNJC5IKOp9uuu/a4G7/k579u129tbRglJXLC78Hzz/PbiVNVubDmubi43Itjnye5OPaZ2xp47NNd\n",
"EuZktz9VZZhXMqZolXvwYDsWLvSjvl5JQsR6nDTvuMOPmpowFIWipYWdP3myBlVlMXSPPhqCx0Oh\n",
"qgS6jri0ATp8Por2duLKsVIUKS680H4cnLBPu/6kO+bAgXbIMsVFF7G6ysu1FNTN7jO7suKdKvfv\n",
"b8fixYG0jqfZYIbx62LiRD3mvJg8/kOHmgiFnMfXWj/nn3/8Xf16i5QdT+yzL4nUB1puxi/5dyTb\n",
"9dvYKEOSKP7+9y+haQSjRnHs82QUn6vBIT5PuS+OfXJxcfVabtEuVQUuvDCz856d29+iRXm2mCLA\n",
"3gA0N0uYNUu1QcR6nDSHD6coKSnAkiUBfPSRgI8+EmJo5vDhFB6PCVGMIhBQMWSIhunTw93YUASU\n",
"UhACx/4JAou3S3dcc7MEUXQuhxCgoSH92y1dJ2htlXD4sBC7ubVzNXXrdBrvVBmJpHc8zRaVi18X\n",
"FtKaPP4bN3q62+DsCLprlwSv13n8BsLV73giZaZpQpKoq7Vi9bUvbrvHQ27GL/l3JNv1a/27oUFC\n",
"IMDdH7m4uLgGgzinwcU1SOWEdlVXh1BRkQdV7bkBtcMJe5tQ++qrNVxyiZ6CiFlOmvHYofVWS5Io\n",
"Zs6Mx/bscSFBUHHaaR5UV6dHR63+lZZqqK1Nf9xpp9GM39fWhvDyy6JjsnBBQD9ihgxtXb48gltv\n",
"zevXROXJ66KxUY69oZkxQ8WaNWE895xsmyA+WYZB8MYbouP4DSSCebyQMjdrLr6vvU2kfrzlNH7x\n",
"66X3e1UCWdZP6Drh4uLi4nInjn2e5OLYZ26rv5K8J6NdHg8wZ04ADQ3pMcZMbn/JxyZjXocOfQmf\n",
"jyVfT5coPdmR0/rMrRNcfMLtUIi9HbMSbkejwOLFATQ1yd3Y5pdQVQJFAZqaJFAKlJfr3e6kLMm7\n",
"pkmIRAgaG3vwUq+XvWEMhdL3wxqDgwfbAdCMiJxbbI45VbK6//hHGe+/L2LPHgnNzYmpL9w6toqi\n",
"CEIIKKWx6z11XejweCj27BExdCjFmWdSR0fWffvasXy5H7/8ZRCSRAeFq19fUGpRFAGw+MuuLmaG\n",
"IgjWWjHT4pJ26k8ctjcxhdmcY/2O6DpBJEIwerR77FNRTPz97+3w+dibQE0TXa2T/kTUci3m8mTT\n",
"qYYTDtb1dKrN02AUxz65uLj6LDu0Kz9fx/PPS2k3fkAiTphNQm2gB98SRYrGRmdHzrY2AVdeqWPk\n",
"SANSFqwBu8nWsXevgOZmCcOHUxgGwR13+DF2bGHs5pIlLFdQV6egrU3AzTdHcfPNEeTnqwDCsc1Q\n",
"JAIQQjFypIGRIw2IIkuvsHGjx1XCd0JoQoL55mYpJfm73Wd2Zfn9rO72djZ2551n4KGHgtizpyMB\n",
"sc2EyrGbEy+CQS+efdaH3//ei2PHZBiGB4ACQVCTkL8IRDGKyy6LoKhIc4XVRqMEDQ0y6utlSJJ+\n",
"Urr69YyjB88+68OzzyoIhYBAALj55gimTw/D748gvq/95babTdt27PBjxw4/gkEPAG/acntzjvU7\n",
"oihR5OU545v5+RSEUJSVadi/vwOaRrrHzodwmMDvp3EY98Ctk970lYsrnfh64jpVxLFPLq6TQPFP\n",
"J5mzp1uMUHSdEFwQEEveS6kKQkRHdNA0Cf75TwEvviijttYXh4ARCIK7NyJHj4q4/fY8x+MoZe6f\n",
"hmFA1/W4dgswTQmrVvnTOo9u2uTN6E66bl0IL78s4eGHvQk4q52rphunTdNE2vbU1XVh7twAhg+n\n",
"aVG5nngz+zKqq0OQJA9MM5owFmxOTEiShP/5H+KI6dXWehPeRA6mp+Bu5DSObPxPTE4/57alXkO9\n",
"OSde7IFLFLW17N/prpdt2zzYupXZ8d5994kZu772lYsrXnw9cZ1K4tjnSS6Ofea23GIabjEUC13r\n",
"6JBdJVl/+WUR48cbjphiW1s7PB4KSUrvFJju3HhEzNKsWVFUVwdhFw8V31cA6OyUsXBhAOPGsXW8\n",
"d28iHhmPJz78cNAGs/OiqiqQEpsV35aqqjD+8hcR11+vdyNr7LnYlVfqCIcJfvMbBXPmRDF+fGGK\n",
"i+aZZ5q49FKWBL25WcQZZ1B885sGTBPo6mJmGLLM0EFdZ28vq6tTUyzEt+f++0MgBFAUA6Zppmzg\n",
"3PTpJz8JIRCgAAxQShPWjSAIMAwPtm71YOpUzdYR9PnnZUydquHyy/Nw6FAH/H42/hZa6vYmKHnt\n",
"Wp9Z/04uJ9Nad3MdZIc+OY+j3To9Pthnb9rWu/4kiz0w8aCzk8SuW2td3HWXHy0tEtra2rFmTeZ1\n",
"nKmuviNq/dNXLmedGjjh4F9Pp8Y8DW5x7JOLi8tRbjGURHTN6wrp83gofvADv2tM0eNRkckpMN25\n",
"bFOUCBk8/TSLR0vXB6uvnZ0yfD7g4YeDOOccE+ecY2LTpkQ80qpj2DAzBZEUBAHhMMHTT6dHYJ9+\n",
"WoHHAwwbRvHccxIkiWL6dBVTp2pYssSPkpICbNzojY1TsovmK69ImDs3gFdeETF1qo6iIhN/+pMc\n",
"K+uGGzTccIMGgGLZMj8ohWN7olGW/uKllxR0dioAfN3xaO77pGkEr7wi4dgxGV1dClQ1cd1EIgT3\n",
"3edL68h6330+5OebOHCgE5pGsH27NwEtFYTMKJT92vXCMDx45RVvylrOtNZZ3/sXx3I7jsnrFMgu\n",
"kXpvNn69aVtf+mOncBhYssSfsi6ammSUluowDOd17LaubNXffeU6tcXXE9epJo59cnHlqNxiKABS\n",
"jrNSMADpkb5XXxURiYiOmOLatSFs3erBvHmwwcwyO46uXRvC7NmpbpZWPNS0aVqSbX56NHP7diVm\n",
"8GLhkdu2eVBREcW2bR7U1IRTEEm3sVnNzRIMg2DBggAkiWLr1iCCQSTk/bNzMLUMcFavDqO8XMeK\n",
"FekRuH37JIwda7qy0q+vl1BQAEycqMUhoIAoqiCEuOrTrl0yPvpIwE03eWNjWFfnxbx5BIKgo7m5\n",
"J17T6ku8Jk/WEAgAlZW+jGgpkPpmy818zp7twx13BGJrmRCgsjL1+NWrw5g3j/Q7jpVN3J61ThPP\n",
"H7hE9L1pW1/7Y1d/fb2C+vrU74uLdbS09E9dvVF/9pWLi68nrlNNfPPHxZWjcm8lj5TjmppkzJ6d\n",
"h/XrQ7j33jB270522zTwySdy7Ng5cwJ44okg7r03HId5qfB4gA8/FDBmjIHGRgmTJyda11sxQtXV\n",
"FKtWhWImLJMn6+jqIpg9Oy8hQXxf+tqTbgI4ckTA7t0y5s2LQteB2bMjsdQR8WggIQSAM/5iGMD1\n",
"16v4wx9kNDXJ2L9fwOWX66isDIMQCtMkEATgz39WcM89YVRVhdDSokCSKCZP1uDzAStWsPYLAkV5\n",
"uYbiYoZq7t0robLSh/vui+C11+x/cgWBorRUj53z1a+a+OtfJdTX+1FTE0ZJSQEAoLoakCTNtox0\n",
"ssaQEIqVKyNoapJw9dUUw4ebEARqm2ZCECjWrw+hsjLznKxZE4LHo8A0I0lIJuuzm/m0/n3vvWE8\n",
"+aSSFGMITJ2qxcY2XVnZplRIRot7o3Rr37rGrPWYrt6BiJ8cPtxEZWUYQCoezZX7Gqwuk1xcXINL\n",
"/P01F1cOKhsMRdftj+vBE/247jqt27WQOe8ZhoHSUg2SZG2MCNrbezCvD1UUIQAAIABJREFUr37V\n",
"REEBM1FpaxNx5AjBN79pACBQlHTpIxBz0lQUikybLkliToHWZs1NXxWFYvnyCPbs6cCmTUEcO8bS\n",
"JEQi7OaWbfQS0cCODglTp+q46qr0eJ4kUUycqEPXGV769tvtmDdPxejRJr75TQ3z56uYPz+K884z\n",
"uuPd2HhJEsW112poaZHR0cHaX1amxdoXj6kuWxbtHmuKSZPixx025xgYPdrEvHkqjh4lUBS2MXz6\n",
"aQXhMAEhJGnu7Ps0ebKGN97o2fSzNjCH0e3bFYwaZaa4i1oqLdWhKNTV+mPj74NhxCOZApYti9qW\n",
"HT+fpaV67N+midi/49shy+7a4WYzF4+WvvyygokTdcdxtNapndwmos/WRdA0TVdzHH8N6bqEUaPY\n",
"+rHDo930x239e/dKmDzZTfuSY1X7R9mOT66Lu0yeWJ1s64mLy0n8zR8XVw4qGwxl5Egj7XGmSVBf\n",
"r+C559QEXCU+ZunXv/aguFhHa6uC+noFY8aEcfnlmRFGSZKg67oj3ldX12X79i8+HkqSJFd9feEF\n",
"CXfdFbFtlxMaWFcXREUFsX0LOWOGikiEoKVFgigCN9ygoarKj6NHCbZsCeKee9I7anZ0EHz4IcsL\n",
"N3Gijrq6rrTH19SEMHmyFosd/PWvPTE8N905W7YE8dprEiZM0LvRTAk336zD50OsDDvFx1o61WE3\n",
"R8XFOnbvTp/Gw5qTXbtk/OtfAg4fFlBbG8KhQyIeeMDnOP/x6UMaG+Vu9Lbn3/HtcIPJukUZ49eq\n",
"aQJ79nQ4jqObuD0nE6ZsXQSTr89MbQNSse/48uPnIJv+ZKq/uZldK07tU1WAUhmC0L9vsbIZn1y/\n",
"WecukydeJ9N64uJyI7754+I6hZSIu+kxq3/rI0kysWRJxAVmF4IkAbouZ4FrkoQNpCAY0DTrjZ2z\n",
"RJHFpiXX5RYN3Lw5iIsvLoCqCt19TYxLvPHGKK6+WkdVlR9PPqlgz54O3HNP5jKrqsIAWM6z9etD\n",
"jsdXV4ewdauCtWtDIIRi2bKo4zmrVoXx6qvM7IUQClUVUVfnyZiaorY2hFtvDUAQKH72s6BjHQ89\n",
"FMT48fm48koTl1yi48YbVezb55DHI278rXLWrg3hwQc90HXBdv7tZCGvY8YYOPtsE2+8oQ0IrmiH\n",
"FjvFu/Ylbi9TvYAztioIKtavJ7jmGg1vvSXib39jGKcgIKlt7pDpjRvt42LTySmm8bTTaMZUIdZ1\n",
"NWKEmTWW60YDGXN5PNXb9cHVvzpZ1hMXlxvxVA8nuXiqh9xWOmvmbKzkJQk4/3w3lvMUwSB7wwIA\n",
"paUafD4KQQBUleF7W7Yo+MEPVIwcmTn1w8GD7ejsBPx+YPRo52Pb2gQcPSqgtFQHIcBbbwmYMMHo\n",
"3kAy50k35Sxc6E8wYQGA8nINmzYFHdNVHDzYDoBi5052frx1/QsvSDhwoB2iSDFy5BBMmqS7LvPj\n",
"jwnOPddEKEQwbpxzeg2fjyIaZRtuTSOOKTkOHmzHL37hwcaNXrz//pexc5JTTsT3KT/fxKOPerFg\n",
"QQSUuqvD76eIRNgGe/hwE6NGmY7nxafxiG9rba3P9pjkc7ds8eDWW1UoCsVLL0nQdZZeQ9PYvBAC\n",
"V/MQn1LB7prKdD2VlWlYvz4Ej4fiL39Jjo1NjdvLRr1NCcFSLTDM17peGaLKjrdSrgBwVf7Bg+0I\n",
"BEwA2fXHagdLf5IY0ygIzHxI1xV0dPS0M/66sgya7FJe9IctvVP7cv0tzfFJGdJ3nSopBAb7ejpV\n",
"5mkwi6d64OLiSqtsrOStJ5OZjvN6WTLmoqIhmD8/D/Pn56GoaAiqqgIghMDjUZGXR3HTTRqampxx\n",
"v8ZGlki+ocGdk+bllxvw+4GFC/248MJCPPSQD5LEjGouvLAQoZBzugkAaGhIxTbdooENDRIaGhRb\n",
"6/oZM1QIArBrFyvHbZm7dklobydQFLjCJJuaJFAKvPuuiM8/J67GuqlJiqXu8HgQc+lMTjkR36eG\n",
"BhkrVkSQlwc0NDjXsXMnQ29lGXjmGQ+mT89HZ6fznMSn8bDWxbe/3RPnFY93Jp8rCMDSpRFs2ODF\n",
"uHGFmD8/D3fckYfx4wuxYYMXdXVdIIS6SkXihGNlwqitcVy8OICLLjJw440a8vI0JMft9UbZ4Nvx\n",
"KRsYBhhIuF5Hjy7EqlU+eDxIyLXp1s1WEPSs++MU00gIwfPPS1i8OHUNWjfPyf3rT7mNucxV9WZ9\n",
"cA2cBvt64uJyK459cnHlqNxgKILATEgy4VcszYCI4cMpJk3SY0hdIlbE0gicd56CN95wh/tlo/p6\n",
"GbfemtfdL4ZIxqNOTvjdunUhvPxy31BAUQT8foqNG70J5c+cGcW6dSHs2CGDUss8hmLECGfnRNME\n",
"OjsFSJIBMc2wxTt5FhUZoBQYM8ZAa6sENy/lKWVPn8eNMxAMMlOdysow9u6V0Npq4aCJ9X31qwZ0\n",
"Hfj4YwHDhtG0rp6WJAnIzzfxm994sH59ECUlha5SgNil8Uju+4gRDOckJIy33hIwcaKO2bNVhMNw\n",
"xFE3bw7hww9Jwvq2jGEuuUTH2LEGyss1mGZf0UyWzHz6dAn/+hftdrXNzqykv5wa+4IBJrvGWuvW\n",
"TTsztT9zf4htqpDjKe6MydWf4uuJ62QXxz5PcnHsM7flhGnYYyg6PB6KPXtEfPKJ0I1vMowwGLTe\n",
"ygFXXaXD66XQdeBPf5IBEEyapMWQOqs8SaJoa2uHx0Ph8wEdHe4wwcZGCVdcobtCI+NxzfJyDT//\n",
"eRBjxiSeZ+F3DGOUoCisr8w2n/XNDg11i30eONAOStmGzcIkS0s15OdTbNrkxb59Urczpx+bNoWg\n",
"KEB9vZRx3A4ebIemAY8/7sEPfhBN2ydZpmhtZX0qLdXh81GIItDV5TzWbW0MyaQUsTdtqgpMmaLB\n",
"42HjYrVpyhT2dlBVSfcbQrYOuroS2243R7JMoWmAxwNs2uTFAw/4Yu3Pz6exeidP1hOwvuRyLOwz\n",
"/tymJgunZPP5wQdsU+qE+ra1tePgQQHjxrHNta4DhkGg68ALL0ixOWT4stor7DO+vn372rF8uR8P\n",
"Pxx0jdnZIZpWmyRJR2en7BrrA9xhnHbHWxgwW2usHda6HTrUhMejwjBk23Zavx2pn2dG3SRJQmen\n",
"4ur3Ij9fha73bKg5osaxT67+FZ+n3FeuYJ/8zR8XVw6rB0MRMH26DkDC4497cN993hTjkurqEH75\n",
"SwWUEpx3HsNGq6p8eOopT0YHwHjXxk8+oVizJuroeqYoFIsX+/Dqq12OxwKJuObNN6u2iKSF35WW\n",
"6pgwQcd3vqNCVSny84EtWxTcdJNmW1dzs5TgoJmuHaEQwaWX5mPSJCOGIe7YoeCmm6LYuNELgL0d\n",
"rKsLunZOjEaBceOYmcn8+Ynj5uSyuW5dCH6/s8OcqgI+HxLKKSvTMG2aZvOZmpWrp1VHRwfBpk1e\n",
"rFkTxrZtHtx5ZwRvvinF5uR3v+vEddextBZLlgRs34Ja62LjRmcXU+tNrhs3UZaoPh8/+UkIc+eq\n",
"WLHCPum85Ypod9Pj1s0vGmUos9tkzs5OjaGsXATdOt9a7dN19iBh9eowKiqiacd7/foQKFXStrO6\n",
"OoQFCwJoaFBsxzTTOFhIcqb+ufR0OuXEXSa5uLhOhPjmj4trEIhhKM442PLlEXzjG/l4/fVO3H23\n",
"exdOVgdQV+fHLbfojhhpba0XqipmjWsKAsWUKRp27bL/6bHwu8ZGGeedZ+A73zHR0CCiqiqAhgbN\n",
"ti5BAJ5/Xs7Y5urqEGbPDkDXBTQ2CmhtlTBjhorlyxnuyZK4U5gmXDsnrlkTxuzZedB1tglvapJQ\n",
"U8Pa8Mwzsiv3z/vuCzu6dh47lohHWtis02dOc56MbzY1Mex1+fIIqqp8CccePizij38Ucf31Kurr\n",
"ZQgCYphl8rowTeKqLatWhR1x1J51AVx7re4q2TshUdsynDBqNxhrarucr8mamqDj9dQXF0FBUDF7\n",
"NknbjiefVHDvvWGsWeNzaGcYJSWyDRKe2WnywAEh4xpeuzaEvXtFXHZZ7/p3sou7THJxcR1vcezz\n",
"JBfHPnNbbjGNbLC1ujoPvv/9KMaPL4zFRyXHAAkCYi6Mra1SimvjP/7xJQgBwuEejLS8nOGmFhJo\n",
"KdktUdeBq69miaUPHGA56ubPD6ChQUZpqY5HHumCYZAURDK5L/v3tyMQoKivl/Db33pRXKzj6183\n",
"cOWVzDG0tZUZoVx9NUMJRdHC2gTs3Mn6WFbGHBIB5mTZ0qIAoLjmGh2qCgQCDHXcuVPBiBEGLr6Y\n",
"OVxmGjfLsfO99wSsWeNFQ4MC0ySYMkXFL34RxLFjAvLzTRiGs4Pp/v3M8XLmzCjy8yk+/pjF8J11\n",
"loHOToLCQpZUfuTIIbE2ffe7Kq65RsVtt7ExNU2SlePp/v0CDh8WU1wZ49fQ8uV+bNgQiq2PAwfa\n",
"Y+N93XUaIpH4daEhEGB1vPce2wifeSZ1hQLaubfGH2OtS8C962cgoGLYsGG2DrqSJCEaFXvlTpms\n",
"bJC9QICtTScXwd5ggE7nlJdrePDBoKMTbTpX1kxjYdW9YEEANTVhW+fZykofHn00FaPliFqPct1l\n",
"ks/V4BCfp9wXxz65uLhcy60rXEuLjCuuYE6VdjFAFRXBWOya5cJ45plmimvjs88qOPtsDWedxSzm\n",
"TzuN/SG5+24vtm71JdRroYFr1oTxX/+lYtculgA6GiX4+GOCTz+VsWlTCJEIwSuviGhslFBWZjii\n",
"TpEIwV/+IuLaa3V861tBtLbKMAz2hq6gAPjOdzS8956It94SMGaMAZ9PhiwbeP99EVOn6hAEir17\n",
"JRw5whKwEwKIIsUHH4jYv58iFAJGjTJx990+jB9v4JJLmBmO07g1NUm47joNx44RbN4chmmGsWBB\n",
"AMOGmRBFYONGD771LWbE4+zCKOP88w0ABJoGvPMO2zwNG2YCINi3T8BppyGhTS++KGHnThkPPBCK\n",
"tcl9MnQJw4bRmCtjMr5praGLLzYS1kcgwDahggCEw8wQ51vf0nH66RSqCrS3E7S0sHmfOlXD88+7\n",
"a8usWWrazV+8m+hdd0WySvYeL+vGmsW0SSgr07Fjh4IvvmBlJY+DW8wuG6dG1iaGb1vts0wl4qvp\n",
"DQYoimLGdhQX62hpcffbMWGCnrD5i2+/3XhY7R0+nCYg20DPuM6cybFFJ8Xj/ZnWBxcXF1d/iG/+\n",
"uLhOQp15ppkx5qqurguvvSZiyBCKxYsjaXA3Ef/4B3DppQy3O3qUYOvWIExTsC3z1luj2LTJi6VL\n",
"I2nrrakJ4bXXxAREMhOCd8stUbzwgtyNbFrH+GPH/PSnvtjbmhkzVGzYEMKFF5qorLSvn5XrwXnn\n",
"MUv/mTPz8MILEoYPp/ja10wcPkxcjVtLi4yJEzXMnRvA8OEUv/lNFwhhzpzV1WG0tMg4dszdPF1+\n",
"uY67704/Xl984dymP/+ZbYydRCnw0ktSLA9fJgkCxbhxBpYujYAQ4A9/8CSM9fr1IRgG8KMfJbar\n",
"qiqMc891pg0Mg72VmjUr2m8YZmofUmPynOIRBxKzc+MimA0GyNw53bnGDpSS22ttHpmTLscWsxF3\n",
"meTi4joe4tjnSS6Ofea2BgL73LpVwQ9/GLWNubI0a1YU998fQmcnsGhRXoprY7py7rwzjKVLI+js\n",
"TMXmKit9qKkJY8MGL379a4+t7fyIEQbWrAnjf/9vPx56KISuLsEWFYtPvL5oUcDWRn7WrCiWL4/E\n",
"4tIEgeLdd9uxenVqbFPyOQUFJo4dI+jqEvD1rxsIhQieeELGD3+oOo7b2rWh2KbPqn/mTLZZefJJ\n",
"Gd/7ngZC2JvPTOijoph4//32jPVVVERw//1h23iu+DZVVYVBKcX48c7Jvt2glszxMgRVpVi0KA8j\n",
"RpixvgJs0/bYY0G8+KKMJ57wJLw5c4ug7tvXjiee8MTeDPUgwzqiUWDx4kBsXbotMxX7ZPnyksfO\n",
"QpV9Pordu3uX2H0gnRrdY4DsWrv5ZhWPP+6FaaamJRlI7DP79vaII2qDR3yuBof4POW+cgX75FlD\n",
"ubgGgdwmfY9GCfbtExGJEDz9tP0NPsCe0EciBEuXptr/Zypn40YvPvuMYMeO1GTplBLIMsXTTyso\n",
"K9OwZ08HNm0K4pxzTJxzjtmdRiEK02QYY1eXgI0bPbZJyi03zVCIpOQpi++DorANJsDi4aJROPa7\n",
"sNCExwPk5THM8rnnZBgGMGcO67fT+dEoASGJ9R89yj6bPl3Hzp0y/vQnEV5v5vlavTriWN8nnwgI\n",
"h53bBACi6JwMXVFoN1Ka/pholGDYMBOKQmPrw+rrsmUR7NnTgQcfDGHnTvZ2c9OmIPbs6UBZGcPV\n",
"4t1XnerZsMGLkpIC7NihoKxMR2EhBSEU48YVJKxLt2XG44WCkH7sLFR5yRI/rrtOw/Tp4ayTObu9\n",
"JnuDPLpJNi0IAnSdYMoUDQDBuecasesseT5EEa7mI/lac9t+nhybi4uLa/CIY59cXINALAEzQXV1\n",
"elRy3boQvv/9ACZMMNDQ4Gyj39AgYfx4E/X1SCjHwu1KSvSUckyT4K67ArbY3CWX6HjxRRYzlwmr\n",
"q6lhlv2PPcYcM++5x2+beL2mJoRbb02P/SXHKbmJbZo4UYfPB1ssdOvWIIJBuEg/IGHcOAO7dilo\n",
"aZFx880qrr9excqViWVu366iri6Ydr7mzo1ix47M7R03zkBjo/NctrTIEEU4ui5a6RwoJWmP2baN\n",
"zctrr0m4+GK2PnSd4OBBEXfeGUmLqManknCbIF4QEEOGt23zYN68aHfqAC1rR1cLL7QeeBNCMsbC\n",
"mSZBfb2C555TXaV1sNNAOzVmwgBFUYSiABs22Ke+qKvrir2hPu006soN17rWett+ji1ycXFx5b74\n",
"5o+LaxDINBVUVvpx+LCA9etDqKoKJ6CSosjybT36aBCHDwt4+23RsUxRBBYvjnQbjliYFkukfcst\n",
"UYwcaeCdd1LLaWqSMXt2XqwdL77IXDCvu07Dc89Jrm3+p05VoWnA6tVh/PjHYbS29iQCFwTgr3+V\n",
"bJOSA4ghpWPG6Dj7bAFvvKGBkMyYi5UOobLSvm379on4+tedEenEzSjFlCm6bX8bGhRUVBBs3hzE\n",
"ffeFsXMnSxg/ebIWS9reX5IkiqIiE9Eo2wD++Mfh7iTvJIbSWhuzN99kc3TvveEY8jhpkg5RZKku\n",
"ZsxQ8ec/Kxg2zAQhFIJAUV6u4bLL2Ob6yBEhYTNgl0rCWiO/+hXre2OjBNNkSKfHQ7Fnj4hbboni\n",
"kUeC3eZArF5B0GEYBqqrKVatCqOhgTmMTpyoIxwmqK31dqei6Fn/5eUa8vMpKI3GkrwfLzG3zWh3\n",
"e0MpyCPbOLlDSFn8nvsNlKZJjmkmtmwJQtMAQnSYpmHTTh1erwlBYL8dTU1qr9rf333j4uLi4ho4\n",
"8Zi/k1w85i+35YbRT44tsjY+lqveG29I2L1bxDvvtCMvTwMhBB0dsqPV/qFDXyIvr8cZ0boxs27W\n",
"WDlS2pgmQaC46ioNW7YEIcs6KKWIRGR0dRHH+KIDB9qxeLEfpklwySUqrr1Wx1lnmcjLA7q6gIUL\n",
"/Vi/Pmwb42XFaykKxUsvMbOL//W/mJunx0N7bXmfbWxUa6uEt99uh8dDccEF6eO+FMVEW1s7GhoU\n",
"fPCBgP37RWzcGEQgwFJpZEp5MWWKis2bQ45z+fbb7WhpkfC733nQ2ipi2bIoFi6M4JFHvNizR0px\n",
"9bTm7pe/DOKNNyQAFKNGmTAMlq+Q1a2DUsTMRF58UYKqso1ij/NpaqxofMqQgwe/RFOThClTdDzy\n",
"iBdvvCGCUmDCBANf/zrbXH7wgYB9+yQ8/HBiOgBJkmCaMlQVsVQhVmxn/Prfv19MONe6pj755BN0\n",
"dSkDEpNnp95scqxYuXC4J4a2tFSDz5c59tBtvOGBAywtiaL0pIUAFBgGwYcfCjh2jGDUKAM+H4Uk\n",
"6bFz+2OT5tQ3SimPTxok4rFkg0N8nnJfuRLzx9/8cXHluJIt5eMTocfLsmTXNA0+n+jKLl7X9ZTv\n",
"4m/8MpVjmgRnnEFBKYWmsU2k1yu5svlvbGToZG2tD42NMqqr2YbkH//4Ert2ydi1S4GmRVLqduPU\n",
"uHp1GPfe60+pt7hYx+7d6RHK5mYJqkocx82KjZo5U0VeHsWf/pQZy1RVATt3shjJ2lofZs2KghCC\n",
"zz+nICRzfVbsnVObgkGCO+7owfYeeMCL731PxeHDgq1ZjjV3n38u4Oc/9+CJJ4Jpx9RCAhsalITP\n",
"4zFPIBXDnTFDBSEECxcG8PrrnTh8WMCuXayMhobE9syaFU2JLdN1HZIk4fnnlQSDGrv139SUim72\n",
"Jm1CX5TthsnOiRSIX8sEgpA+v5671C8SbrxRhWGYsfpWrMjkctr3TbDbvhGSPgaRi4uLi2vgxDd/\n",
"XFwnoforFildOYpiYvXqCObNiwIwYBhC91sXA6IzcQpRZHFclqx2eb3sOxZbmBg3ZppwhZRWV4dw\n",
"6JCAp57yJPR73DgDwWD6Nll1/uY3mWPV5s4NxCzs9+0ToOvufLMEgW1yqqtDEATmZmmaJGNs3Jo1\n",
"YWza5M0Yy1dbG8Ljj3sgCIjNp9sYuS1bFNTWhh3HtKYmjJIS9ubNDvME0I3hMtORoUNDmDMniiNH\n",
"CCZNMrBihQ9PPJE+/jHdenS7ntKPee+ug+OBKpqm4ohtVldTABHHsuycdS2jF0EwYBj9W19/9Y2/\n",
"neDi4uI6/uLY50kujn3mtnqDfdrJDl/rjf16uvrjyxk2zERJiYFIpMcd0MK5JElHZ6fs2NaDB9sB\n",
"UOzcyd7oWHFpTz0l47bb1BjmGI94HjokYvRoA6NHO+Osfj9FKMTaq6pAebmOggL2mRNC+e67X0JR\n",
"gI4OgtZWdgNdVsaw0jffFFFUZEBVCYYONfHwwx7MmqU6piBoa2uHLFPIMsu1J4oM+WRJ13vGc9cu\n",
"hmfGp7xoapJx1VUqnngiGDtHEKx4LRY7qKoEhgG0tEix/gYCFISw73QdaG2VQGlP/NxvfqPgBz+I\n",
"QpKAkSN7lwZg3752bNniwa23qjEMl60Hvft7ERdcYEJVWX233qrC56N44QUWyzdpkg5JAkSRQpJS\n",
"12Vv1n7yNZXNddBbDDNb9TVNRPz5EyfqWL8+BFmmaG1lbZ40SYOmsTWqKFEAGLC0FH3p29ln5+Gz\n",
"zz7jm8AcF8cJB4f4POW+OPbJxcXlSr3F13rs1wVMm6bFPmP/ZVe/Vc706TpMU8qIjrlpa0cHwd13\n",
"+zF+PHswsWRJILaRvP12NXa+ZclfWqrjhz+MxExM0knXSTf+GkJ+PsHIkQIOHJBQUECxdauMWbM0\n",
"x7bpOsHOnSL+8AcvJkxgm7733hNBCAWlBI884kVzM4tRo5TEUhBkKjMQoFAUA5T2vO3Iy5Ph9wMv\n",
"vyzhP/7DwLPPyvjiCyFhPCyMc/hwik8/Jaiq8mPcOAOCAHz+uYA5c6IAVMgygSAIGDmS4I9/VPDY\n",
"YyKWLIng17/2YPRoHV/9Ko3Fef2//9eTl0+SgHPPNVy5iVo4Z/znTg6g8TkR164N4cEHPVi+PIpA\n",
"AHjrLRG//S1ri+X6mYw69ge66fY66AuGma3cYpsWyp1cpzUuq1eHUVERdUhY3/f6Bqpvt96aip1z\n",
"cXFxcQ2s+OaPi2sQqC8YZ39ha6wcZ5yrpiaYETdcuzaEOXMCAFhuvMQ6CN58U8S6dYnnNzbKuOQS\n",
"Heeem91b7HfeEXDZZTqqqnxYtiyKrVs9jukQ/vxnOW1cZbIohWNaAyuWSlXj58CbMI6vvy7bxjJa\n",
"eO2cOVFs367ANAkeeMAb2xS2tYkxVE+SJLzzjogHHvBiz56OGMpZWRnGOeeYWLQoYNv+dKk0nCQI\n",
"FOPHG7j7bjfIaAEIofg//ydse7xpIi16aLf2LcOaigoVV12lgVIdNuGrSXVkvg6OJxbZHxIEFbNn\n",
"E1dtFgT3mywnt1Tu3snFxcU1uMWxz5NcHPvMbWWDafQXxtlbucW53n//SygKe9NkJWm3MEWPh2LT\n",
"Jg9mztRsMbXKSh82bQphyxYP5s6NwuOxjFiAa67RQClxRBQt7FNVCUwTCIUIli/344EHQhg/vhAT\n",
"J+p45JEgBAEJ6RcszJIQlrjcCeU8eLAdCxf6UV+v4M47w1i6lCVtb2xkz9TKy/Vup0UDqtpjbpFu\n",
"HOMR15YWCWefzXDQcJjlZDRNEhsnCweNR/UAhvYtXBiI9VXXCcrLtbT9yfRdfF/tsE+3TqTWuaJI\n",
"XR1/6FA78vLUBDOi+LV/4ICIMWNMUIoU7Li3LpJ9xTCzVX/Ul00ZeXmaKxy7rY2516ZDcN0gsRz7\n",
"PPnEccLBIT5Pua9cwT7dORVwcXGdcPXga1FMmxbCtGmh7pv+yHF5+u4G55o4UYeiAJWVAZx3XiHu\n",
"uCOA998X8f77In77WwWSBNx5ZxQbNngxfnwhFi0KYNGiAMaPL8SGDV7U1bFN2caNXowbVwBNo7jm\n",
"Gg1DhgALFgTQ1cUQy3SyTGPuvtuPCy8sBKUEu3czZ9HWVjmGm40Zkw+fj2LIEOCjjwQsWRKI5adr\n",
"bpZiKGfmeiiGDTNRVqZh6dII7r3Xh4UL/bH+Llzox8qVPhiGGHtTkmkcLcSVbZSAb37TwMqVfowc\n",
"WYg77shLGqculJVpsf6wG3OGAlZUqLG+AsjYH7d9tRxO41VRobrCcC1k1G3C+l27JBAiJ4yZtfYD\n",
"ARXf/KaBVat8KCoqxPz5eZg/Pw9FRUNQVRUAIZ6E89wqG1SxN+UnKx5nTScnnDWbNgNwVV9XF8GF\n",
"FxamjGUPEhtAUdGQjOOeTd8kicNHXFxcXMdb/JeXi2uQKVdRK7sk6o2NiakG2tpE3HtvGE8+qSTg\n",
"hvGYWlVVuPtTgj/8wYMf/CCKyZM11NfLqKz0YcuWzK6Rjz/uwbZtXgBAfb0MUUx9AqqqIjZs8GLF\n",
"igjq62W0tvbE17l1yty1S8aaNWEEgyTBLbO+PrEuSolrXNA02SYjdatpAAAgAElEQVSrtjaEFSsy\n",
"43zxTpuWBEHFVVcR/P73ckKZ6dBUN321Uj1Y42N9ftVVGp59NjMW2xsZBsGuXTImT04dM8OQTxoX\n",
"yf5y5O2v+tauDWH27DyoqpCCuWaLxLrpG6A5IqZcXFxcXP0vjn2e5OLYZ25rIDGN/o7NccK53CZJ\n",
"37+/HYsXB2zj6Sz07OBBAaNHG/B6KURRA6UyKGWOlv/+N8HQoRS63vM2ysJfdZ1g/vwAxo1ja55S\n",
"YO7cCJYuTUQhLWv8RYsiuOwyHdEoQ0ApJSgvZ3iqLLME55bDJiE9Dpu6Dpx//hAsXRrBbbdFXaCo\n",
"PShj/DiaJlIs+gWBYuPGkKtk88uX+22To3d2Kil4ZTJWqiis7s7OHidO9h2bl8mT/397dx4XVbn/\n",
"AfwzZwYYFkUQEDc0vS7gGmViLnhdb1qppWmZZpq3a7vVrdSMvFdvhqZZWd1fi1q3xUpN60aKiqZ5\n",
"rWRJARVxQyRCZJNlmO38/pjOOAOzwgwMzOf9evV60Zwz5zznfM8Z5zvn+zyPYXCUkBARVVV1RxnV\n",
"Ozyyq7Nln9aOy5XlhHXvDcC1o2E6eu81ppS7IaWj1/cnYN8+BbRaw9N605Fl677X0ZJRZ0cbbswk\n",
"783Z79Ab+zyynLBlYJw8H8s+icgtDF9MlKiq8sPOnQHYuTMAVVV+AJSNKlmzV85lbxJ1AH8kbIYy\n",
"QGvLDxxQYNgwtbGkVRRFY9+9pCQfHDumgEYDBASImDpVjalTaxAQUAsfH8Oola+9Vo2oKD2iovSY\n",
"P78WbdoA8fEaY3nj2LEapKZW4PXXq5CfL+Crr3xQUyPDbbdpMWWKBnv3yqHRAFotUFkJZGYKiInR\n",
"YdIkDQIDRfj4aLF7t88fSSSwe7f9Y05OVkCj8QFgeCIpjdQotUNq7+uvV+Hdd6sdOo8pKT6YM8fy\n",
"KK+W4mRaVtqunSGJ02hErF/vh9de8zcuu3hRMJbCvvqqEqIoIjhYg7vvVv1xrlUAVNBqtQ6V90kl\n",
"ox06OFYOWFsrQ3KyT70SS2fKHLVWRn+xdm/o9b6NLsO0tX1r915jSrmdLR017bOXlSWgb1/DNS0I\n",
"wHPP+ZslfoB5mWtDSmLdUaburs82T983EZErseyTqBVx93D1tsq57E2i7gzpF3V7x7N6dTUUCgVk\n",
"Mj30egVeftnfZpnmq68ahr63tr1XX63G1Kla6HTW13ntteo6rbVfuqbVyvDmm0oUFAhYs0YGhUKD\n",
"BQtqLU6ZsWVLlUMTmysUIiZM0ECnu14aKJ2vzZstj2oqCEDHjnrEx2swb14QAGDz5kqIogyffeZr\n",
"HOFUOtbExBqIohoajeXrRS7X2C2PXbvWD7NnG7YFqLFmDayuL5UeNnQEUlvsXUtr11bbPRZbZZiN\n",
"ufca+gTJ0dJRwHbbPvywCvPmyeolgK7gqqdjTTkVhyftm4jI1Vj22QzKy8uRnp6OsrIyREREIDY2\n",
"Fkql0i37YtmnZ3N9mYYSL7wQaHVOtDlzarF6dRUaM1y9tXKugABDeaC98jB7ZZ/m5WP2j2fZsmq0\n",
"aQOLfZJM1/vXv6ohkwFLlpivJ5WAxsYaBiX58581WLJEiS1b/OstB4CBA7WIi9Oib992GD1a6/Ro\n",
"mXPnqvDKKzVW2ztunAZvvlmFAQOcHxXT9HyZl3kazvWECYanl1qtoT8kAEycqIFCAahUaMAoskps\n",
"3qzEpEmaeiWjarUM333ngwceqIVMdn1bcrkcWq0vKiqujxpZd1J7a2WEVVVKh0YL7dIlAFevXq1z\n",
"T9m/lhITq6DXo861bShzdeRcuPves8RWeaWPj+6PJ+cKPP98gLEvbF1z56qwZIkKmzf7QRQN5cc/\n",
"/CDHyZPlDS77tMf5z77mOb/Nv+/mx3LCloFx8nyeUvbJ5K8JiaKI7du346uvvjL7B9Lf3x/z58/H\n",
"qFGjXL5PJn+ezZUf1s0xXH39vi/2vyQtXVqDfv2CLT7dmTOnFq+8UgWZTOXw8eTklEGvl9lNCiyt\n",
"JyVI16edEPGXv2ihVgOPP26YF898uSFRaddOxObNfli+3B+pqRVYt05p85gXL1bh5pvbQq+X2Z0i\n",
"QRBEh7b5yivV8PHRGJM/S+dLSlylMtvjx+V4++0qBAVpjNsyfcrqTF8mS30Xpf2kpyuMU3xYvt6U\n",
"+OgjJUpKZGbrS9eEpS/TgiBAp/Orl7xbOi/h4YFmyZ8z90ZgoBqi6AOdTobz5wWUlsoQE6OrN6WB\n",
"tXPRFPeeJVL8ZDIZdDo5qqpMp2Qw9O2s268PuH4PBAWJZlOKKBRA27Z6iKIKjtzX0n3rKGenuWmu\n",
"8+sJsW1uTCpaBsbJ83lK8seyzya0ZcsWJCUloUOHDpgyZQoiIiJw9uxZ7Nq1Cxs3boRarca4ceOa\n",
"u5nUQjnTN2fKFE2jv6RYShDslaGtXm14+jZ7ttpuaZ1cLnfoeC5fFpCdLXdovawsuVniZ2lidakt\n",
"H31UCZnMMG2E9RELYXcE0rqljPamPJBG5/zPf6xPHP+vf1Xj2DE5hg+//sOOpfhbmqx+3z41pkzR\n",
"oG6/OGfL8+rur+5+DNuExetNENR48EGZxbLX6+W8Muj1gtmTv59/llssZzU9L6mpcowfb/6Dl6P3\n",
"RmamHEOH+uK555wr72vqe88SaZsymZ/V9m/eXIl584LMnhDaugcM96MAQ7lu041MWldznl9PiC0R\n",
"kSsx+WsiaWlpSEpKQmhoKFauXIm2bQ1DtA8YMACxsbFYunQpNm3ahJiYGHTq1KmZW0utQd1yxbQ0\n",
"Rb252lzN8ASpFqtXi3j55Wrjl8xRo7SoqZFh7lxDP7O1a6vxwgs1SEkxTMUwYYKhtM7wBdLw5UkU\n",
"5XDkobUoAo6MGC+Khv+A69NSmE7RIDEdvt7etBSrV1dj1qxapKXJsWJFDRISav6Y++76KIqmX7Yd\n",
"tW+fD44cUWD58hrjeQKul0fOmxeEGTNqndqmJzFcJyKWLbN8fHPnBqFTJ329KTJ+/13AvHn+ZteP\n",
"6fvmzQvCzJkNOy+CIKJ/f71xig1BEDFunMZ4/2RkyLF5sy8efFCEIGg9cqRHR6ZkMJ0ixJF7QIqB\n",
"pftaKi81vW+JiMizseyziTz77LO4dOkSHn74YYwZM6be8s8++wxff/01hg0bhqeeespl+2XZp2dz\n",
"V9lnfLy2Xrni6NGGES9DQ/Xw9XV/eZJCoYBe7wO1GvjrXwORnOxjMpfe9XJEQQAeeURl1iZBEKBW\n",
"+6G6Wma379upU2UA7Jd9njpVBo3GsD1H++rZ65946lQ52rbVQBRFyGQyaLWGkUjffluJ1FTzUkaJ\n",
"vbJP030/+WQARFFmsZzy1KlytGlzvc9fc5T9Ora/+n0TpffGxARj1ChdvePT62UWpylwtMy07lQP\n",
"jrTVNC517x9BEDF+vGGaj7Q0OX7/XcCYMRpjKSjg2qkiGsLReEj9TwE4dA9Y6nvpiqkOWPbZcrCc\n",
"sGVgnDyfp5R9cnziJpCXl4dLly7Bz88PI0aMsLjO2LFjAQCpqalQqVpnp3FyL2no9xUrarB5cyXW\n",
"rVNi8OBgPPZYIB57LBCDBwdj3Tol/Cx323GL3FwB33zji927zZ+eSeWIa9b449VX/bF7d/1h/Xfv\n",
"VkAuh92h7CsqZJDJ7A95X1Ehg0plmO4hNlaLAwfsl3LZm5Zi717FH0mfFhqNIQmsqZGhoMAwub2l\n",
"fo0dOuihVNpvr0xmeAIonac1a/yN27z3XvUf8w1eb5uzQ/83lqP7U6sBUbQ8bYNaLVg8PqD+9AGm\n",
"+zO9fuqeFz8/EQqF+RNuR9o6d64a+/crEB+vrXf/PPJIEKKjg7F0aQBiY3XYutWQDLzwQiBkMsMN\n",
"1ZTn3hJHyxNTUgzXtKP3gKUpHLRaLbRabZMlOk19bXvKvomI3IFln03g5MmTAIDevXvD19fX4joR\n",
"ERGIiIhAUVERzp8/j+jo6KZsIrUSgqDGvHkyu6VfdcvpPJNhYvHERNt9vObNC8ITT9TYHKY/MbEa\n",
"999/fWqDH37wQWmp/RbI5SJGjNAiPV1j8SleXYKgRkiIH1avttWWGuTkCPX6rhmeLmkwd64a48Zp\n",
"IJMB999fi08/9bPS31BdryzW0aH/XfUd1d7+pPhYKuF0x/4M50UDmUkdsCAIkMvlkMn0WLeuGjEx\n",
"WiQk+EOtFszeO368Bl9/rXCoFFIqnTS9n1x17k2frJlyXZmpaOVvz9bU17an7JuIyNVY9tkE3n//\n",
"fSQnJ2Py5MmYO3eu1fUSExORmpqKBQsWYMKECS7ZN8s+PZuryzQ8qURJKt2srJRh0CDnS8uqqvzw\n",
"6KOBeOutKlRWChanEnj22QAcPKgwjtKo0/mYDXk/apQWgYEidDrgT38ylMO+9VYVgoNFVFfbLxXN\n",
"zi5HZqYcvXvroNGYj5YolX2all5KbQd8odPJUF0tM5YjSlMGyOUaVFb6YtGiQCQm1sDXV8SpU3IM\n",
"HqyDXg/s36+ATgdMmGCYRF2rBZKSDPscN87wmlyutnpf2xr63/50Bc5ryNQNjblO7R2fKIro2LEj\n",
"fv/9d+OonVVVMqSkGOIwZoyhfDM11VC+Kb1XodBCpfJx6Ho1nbrDtJ0AGnzuTSdhNx2lUyYDMjMF\n",
"9OvnmhFHT50qR3a2IbmMidE7MHWGez4rGvLZ19TXtqfsu7mxnLBlYJw8n6eUffLJXxMoKysDAISF\n",
"hdlcLzw8HABQUVHh9jZR6+RJI9Pp9XooFCLkckM5nrVh4i2VTEmlVh066FFZKWD9ej8UFMiNJZhP\n",
"PhlofBI3Z04t/PzEP5IhHQICBEyZogGgwIcfKpGQ4If09GtYsaIGc+fWYunSAHz5pQKpqdfstquy\n",
"Uobp04MgCKg3WqKl0kup7YAKcrmAdu3kuPtuLUTR0D69Xg+dzlAiGBkp4qab2mLxYhWeeUZlc1TR\n",
"u+9WGbet1WptDoQj7f/6ebj+1Mgd4ZbJZPjuOwW++EJpMT5A/WvOtJTOmevCkeOTyWTQaDSQyXyh\n",
"0xnmdbR2XgWh1hgXrRZQKhX47jvHSyf37vUxOzbDteD8ubc3ifi//lWN+fMDERkpWh1x1NFz6u+v\n",
"x9Ch6j+ORdGgGDSXpr62PWXfRESuxOSvCUh9+OxN5C4tr6mpcXubiJqCIADBwaLNMkhrJVOCoEZi\n",
"ogwffOCHVatqsHRpANavV5q9f/bs2nrvvz5vnR4PPihDdrYcixf748MPq83miHviiUBs3mx7OgVp\n",
"iga9HmYlf+vX+yExsQaWSi8ltsr0pDIymUzE/fer8fzz9sp0nZ9AumlHo6w/pYQ9jS2ls3V8V69W\n",
"obxchlWr/B04r9fnPJTJdJDLHT4Eq5w9946M0pmYWGMcpdNaCa2j51SrlZ6w61tkOWNzjrTqiaO8\n",
"EhE5g2WfTWDVqlU4fvy41ZE+JZ9++il27tyJO+64A/fff79L9s2yT8/W2ss+q6r8sGhRIN54wzCJ\n",
"tKGk7Xr5XW0tEBQkWh19VCq10mpl0Olk0GqBAwcMv1k5UnJl+v7aWhliYsxL3KQJrn19RRw8qIBC\n",
"AYwYoUVtreUJsaWyucBAETKZ9dJLR88P4IuqKqHZSu9cwZ0lnA05Xrlcjtpa30aVGzs6Ymbdss+G\n",
"tNfZfR44oLC5P2fPaXOVM7JEreVgrFoGxsnzsezTi0hP9OyN4unoE0IA0Gg00Gg0FpfJZDL4+/sb\n",
"/5Y5MgkaNQspNq6KkSiKDpfTSdMTuItUgpqc7It+/XwwdqwGd9+tRmSkiN9+E/DIIwHYu9cH775b\n",
"hSlTNBb/sTK0sRZ+foLxWp461bCuKBrK0Qzz/Fk+Dun9/v4K7N7tX+/L9b59PrjpprYYM0aLxx9X\n",
"ISREjyeeCLQ6uIthBFAFpkyphk6nb9T5E0URcrkW+/cHOFym64n/oDfmmpPiExh4vZTOkbjaIggC\n",
"8vLk+PVXudPn1dFjqa2VGefMbOz95OwonXv3+ti8Hpw9p+6IgSNc/dlH7sNYtQyMk+czjU1NTY3N\n",
"f9N9fHzg4+PcHMGOYvLXBNq1awcAKC4utrmetFxa35YdO3bgq6++srgsNDQU7777LgDDKKLk+Vz5\n",
"S5BGo8HatdbLGdeurUZISBv4+IS6bJ+WGMqXDU8N9HoZkpN9kZxsabRbGdq0aWP8wcLdbalLmjYg\n",
"NlaLHj10DpQuuq69ttrlrn26g6dcc4B0Ti3/MGZJ3fNq71ikcmBBAGbPrm30sTl+DZjy7OvBGZ7w\n",
"Kzg5hrFqGRinlmHx4sUoKSmxunz69Om455573LJvln02geTkZLz//vvo168fXnrpJavrPfrooygu\n",
"LsY///lP9O7d2+Y2HX3yV1RUxLJPDyaTyRAZGYnCwkKXPtURBKHeyJdSKZdc7t6BXkzbUFnp61A5\n",
"YGCg+0fqs9cWRydfd2V7PekcNZYnXHOAoezT0VE7rZ1Xy8eihZ9f/VFCG3tsjl4Ddcs+Pf16sMdd\n",
"n33keoxVy8A4eT5BENChQwcAfPLX6sXExAAAzpw5g5qaGou/1hYUFKC4uBhKpRLdu3e3u01HLwqp\n",
"PI48m6vjVH/ky+sDFTTVbwE6nc7hckB3/0DhSFs6dHB8BEpXtdeTzlFjecI1J7XD19cXcjkafF6t\n",
"HQsAxMVdn3TeFcfm6DUglZrOnt0yrgdH8d+oloOxahkYJ89lGpfmrNxg8tcEOnfujO7du+PChQs4\n",
"cOAAbrvttnrr7NmzBwAwZMgQqxPBEzmruUem86TJke21RRq9c80aWF1n7dpqiKLGpcmMJ50jV2ju\n",
"aw4A2rcPhCBUNmiUWVOWjsUdx2bvGpCmepg9u+VdD0RE5FlY9tlEMjIy8Morr6Bt27ZITExESEiI\n",
"cdnZs2fx4osvQhAEvPbaay6t1+Zon57NG0bn8qTJkR1pi611wsPboLi42OWx8qRz1NJJ95TpJO/V\n",
"1ddHmR07VgulUu9x59XSNTBmjBaCAJw4IaB/f12ruh684bOvtWCsWgbGyfN5ymifTP6a0ObNm5GU\n",
"lISwsDBMmzYNERERyM3Nxa5du1BTU4OFCxdi3LhxLt0nkz/P5k0f1oIg/DG9QfM/HXKkLXXXEUXR\n",
"7bHypHPUUtW9pwRBgFwuh0wmgyiKxkndPZXpNWCqtV0P3vTZ19IxVi0D4+T5PCX5Y9lnE5o3bx7a\n",
"tGmDbdu24b333jO+7u/vj0cffRSjRo1qxtYRuZcnfXl1pC1112mK4bM96Ry1Fi3tnLa09hIRUcvC\n",
"5K+J3X333Rg3bhzS09NRXl6O8PBwxMbGOjS3HxERERERUUMx+WsGwcHBGD16dHM3g4iIiIiIvEj9\n",
"jgVERERERETU6jD5IyIiIiIi8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjICzD5IyIiIiIi\n",
"8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjICzD5IyIiIiIi8gJM/oiIiIiIiLwAkz8iIiIi\n",
"IiIvwOSPiIiIiIjICzD5IyIiIiIi8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjICzD5IyIi\n",
"IiIi8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjICzD5IyIiIiIi8gJM/oiIiIiIiLwAkz8i\n",
"IiIiIiIvwOSPiIiIiIjICzD5IyIiIiIi8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjICzD5\n",
"IyIiIiIi8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjICzD5IyIiIiIi8gJM/oiIiIiIiLwA\n",
"kz8iIiIiIiIvwOSPiIiIiIjICzD5IyIiIiIi8gJM/oiIiIiIiLwAkz8iIiIiIiIvwOSPiIiIiIjI\n",
"CzD5IyIiIiIi8gJM/oiIiIiIiLyAorkb0NKIoohTp07h/PnzUKlU8Pf3R9euXRETEwNBsJ9LV1dX\n",
"Iy0tDcXFxQgJCUFsbCzatGnTBC0nIiIiIiJvxuTPCfn5+Vi/fj3y8/PrLQsLC8PTTz+Nnj17Wn3/\n",
"vn37sGXLFtTW1hpfUygUmDlzJu688063tJmIiIiIiAhg8uew6upqrFq1CiUlJYiLi8Ott94Kf39/\n",
"XL58GUlJSfj999+RmJiIDRs2QKlU1nv/d999hy1btqBdu3aYNWsWunbtisuXL2Pnzp345JNPUFlZ\n",
"ifvuu68ZjoyIiIiIiLwBkz8HHT16FCUlJRg8eDAWL15sfH3gwIGIj4/HM888g5KSEvz4448YO3as\n",
"2XsvXLiAjz76CEqlEitWrEBkZCQAYMCAAbjlllvw/PPPY+fOnRg0aBD69evXpMdFRERERETegQO+\n",
"OGjQoEH4xz/+gYULF9ZbFhAQgCFDhgAALl68WG/51q1bIYoiJk2aZEz8JKGhoZg5cyYA4NNPP3VD\n",
"y4mIiIiIiJj8Oax9+/bo06cPwsLCLC7XaDQADH34TFVWViIjIwMAMGbMGIvvHTFiBHx8fJCbm4ui\n",
"oiIXtpqIiIiIiMiAyZ8LqNVqHDt2DADQvXt3s2U5OTnQ6/WIjIxEeHi4xfcrlUr06dMHAHDq1Cm3\n",
"tpWIiIiIiLwTk79G0uv1ePPNN1FRUYGgoCDExcWZLb906RIAICoqyuZ2unbtarY+ERERERGRK3HA\n",
"l0ZQq9V4/fXXkZqaCl9fXzz11FPw9fU1W6e8vBwArJaLSqTl0vpERERERESuxOSvgUpLS7FmzRqc\n",
"PXsWQUFBePbZZxEdHV1vvZqaGgCwOP2DKWm5SqVyfWOJiIiIiMjrtdrkLyMjwzjQirOioqKsDs4C\n",
"ALm5uVizZg3KysoQFRWFZ599Fh06dLC4rkwmAwCIotigtjSWIAjNtm+yT7o+GCfPx1i1DIxTy8A4\n",
"tRyMVcvAOHk+QfCM3natNvk7c+YMkpKSGvTeIUOGWE3+MjMz8eqrr0KtVmPo0KF47LHH6pV6mnL0\n",
"iZ603N/f36E2ajQa4wijdclkMuN2rA0yQ57F2o8H5HkYq5aBcWoZGKeWg7FqGRinlqGmpsZmku7j\n",
"4wMfHx+37LvVJn8zZszAjBkzXLrNoqIirFmzBmq1GrfffjvmzJlj9z3t2rUDABQXF9tcT1oeHBzs\n",
"UFt27NiBr776yuKyHj16YPXq1Q5th4iIiIiIms6KFStw7tw5q8unT5+Oe+65xy37brXJnzt8+OGH\n",
"UKlUiI+PdyjxA66P8mlp8ndT0nJ7o4JKpk2bhttvv93q8rKyMqxevRoJCQkOP02kpldTU4PFixdj\n",
"/fr1jJOHY6xaBsapZWCcWg7GqmVgnFqGmpoarFixAn//+99txsldT/0AJn8OO3v2LNLT0xEaGoqF\n",
"Cxc6/L7evXtDLpejqKgIv/32Gzp27FhvnerqauTk5EAmk6Fv374ObdeRx8Hnzp1j3beHE0URJSUl\n",
"jFMLwFi1DIxTy8A4tRyMVcvAOLUMoiji3Llz8Pf3R0BAQLO0wTN6HrYA+/btAwDcdtttTmXjAQEB\n",
"iI2NBQAkJydbXCclJQVarRZ9+vSxOyUEERERERFRQzD5c1Bubi4AQ386Z91zzz0QBAF79uypN4l7\n",
"UVERtm3bBgCYOXNm4xtKRERERERkAcs+HVRVVQUA+Oyzz+zO2bd8+XKz/4+KisKcOXOwZcsWrFix\n",
"AlOnTkVUVBTy8/Oxc+dOVFVVYerUqYiJiXFb+4mIiIiIyLsx+XOS9ATQWZMmTYKfnx+2bNmCjz/+\n",
"2Pi6QqHA7Nmzceedd7qqiURERERERPUw+XPQxo0bG72NsWPHYtiwYUhLS8PVq1fRrl07xMbGok2b\n",
"Ni5oIRERERERkXVM/ppYQEAARowY0dzNICIiIiIiLyN/+eWXX27uRpB7CIKAfv36QS6XN3dTyAbG\n",
"qeVgrFoGxqllYJxaDsaqZWCcWobmjpNM5IQgRERERERErR6neiAiIiIiIvICTP6IiIiIiIi8AJM/\n",
"IiIiIiIiL8Dkj4iIiIiIyAsw+SMiIiIiIvICTP6IiIiIiIi8ACd5b6XUajXS09NRWFiINm3aYNCg\n",
"QWjfvn1zN6vVKy8vR3p6OsrKyhAREYHY2FgolcpGbTM3Nxc5OTnQ6/Xo2bMnoqOjXdRaAtwTM3Id\n",
"V8enqKgIWVlZKC0thUKhQHh4OPr164e2bdu6sNXeyZWxEkURp0+fxvnz51FTUwOlUokuXbqgf//+\n",
"EAT+bt0Y/MxrGRinlsEdcdLr9cjMzEReXh50Oh06duyIwYMHw9fX1yVtZvLXCh07dgzvvvsurl27\n",
"ZnxNJpNh0qRJmD17doMnlayqqsJ///tffPfdd6ipqcH06dMxY8YMVzW7RRNFEdu3b8dXX30FvV5v\n",
"fN3f3x/z58/HqFGjnN5mSUkJ3nrrLWRlZZm93qNHDzz55JOIjIxsdLu9mTtiBgC//fYbtm/fjkOH\n",
"DkEURSQkJCAmJsZVzfYaro6PVqvF+++/j5SUlHrLFAoF7r77btx1112Nbrc3cnWsCgoKsG7dOly6\n",
"dKnesrCwMDz77LO44YYbGt1ub+Ouz7y6Dhw4gHfeeQcAsHXrVpds05u4Ok5FRUV4/PHHba4zbtw4\n",
"LFy4sEHt9Vbuup+ys7Px9ttv48qVK2avt23bFo8//jgGDhzYqHYDTP5anZ9++gnr1q2Dv78/Zs6c\n",
"iT/96U8oLi7Gt99+i//+978oKyvDE0884fR2t2/fjp07d0KlUhlfk8lkrmx6i7ZlyxYkJSWhQ4cO\n",
"mDJlCiIiInD27Fns2rULGzduhFqtxrhx4xzeXkVFBVasWIHCwkIMHTrU+CHyv//9D4cPH0ZCQgJW\n",
"rlyJ8PBwdx1Sq+fqmNXW1uK9997D4cOHIYqiG1vuHVwdn48//hgpKSno2LEjJk+ejMjISFRUVOB/\n",
"//sffvnlF2zduhWdOnVCXFycG4+qdXJlrLRaLV599VUUFhaif//+GDNmDIKDg1FSUoKkpCScO3cO\n",
"a9asweuvv+6yX8G9havvKUsKCgrwwQcfuKjF3sldcQoMDESPHj0sLuvSpUtjm+113BGnzMxMvPLK\n",
"K9BqtRg+fDhuueUWKJVK/PLLL9i7dy/Wr1+Pt99+G/7+/ofdU/IAACAASURBVI1qO5O/VqS0tBRv\n",
"v/02BEHACy+8gL59+xqXxcXFYfny5fjxxx8xcOBAjB492qlt79u3D2q1GkOHDgVgSDLJIC0tDUlJ\n",
"SQgNDcXKlSuN5WMDBgxAbGwsli5dik2bNiEmJgadOnVyaJvvvfceCgsLMXbsWPz1r381vn7zzTcj\n",
"PDwcO3bswNtvv42EhAS3HFNr546YlZeX49ChQ/D398fo0aORlZWFvLw8dx5Gq+Xq+KjVauzduxeC\n",
"ICAhIQEhISHGZcOHD8eHH36I3bt347///S+TPye5OlbZ2dkoLCxEly5dsGzZMrMSzyFDhuCJJ57A\n",
"1atXkZqaimHDhrntuFobd3zm1aVWq7F+/Xqo1WpXNt2ruDNO3bp1w4svvuiOZnsdd8SpsrISGzZs\n",
"gFarxYIFCzBhwgTjssGDB6OsrAznzp1DXl4e+vTp06j2s3C+FdmxYwdUKhWGDx9ulvgBQEBAAB54\n",
"4AEAwOeff+70k4mJEyfizTffxNNPP81fiOr49NNPAQAzZsyo128oKioKkydPhlarxRdffOHQ9s6d\n",
"O4eff/4ZSqUS999/f73lM2bMQFhYGLKzs5GRkdH4A/BCro4ZACiVSsydOxfvvvsu5s2bh8DAQJe2\n",
"2Zu4Oj6CIOCll17CypUrzRI/ifRj2MWLFxvXcC/k6lh16dIFzz//PB5//PF6ffv8/f2NX3qKiopc\n",
"0Hrv4Y7PvLo++ugj5OXlYeLEiY1qqzdrijhR47kjTrt27UJFRQX69u1rlvhJ/v73v+Odd95pdOIH\n",
"MPlrNfR6Pf73v/8BAMaMGWNxnYEDB6J9+/YoLS2t14/MnjvvvBNhYWGNbmdrk5eXh0uXLsHPzw8j\n",
"RoywuM7YsWMBAKmpqWZls9YcPnwYADB06FAEBATUWy6XyxEfH2+2LjnOHTEDDPX4kydPZof8RnJH\n",
"fBQKBfr06YOePXtaXK7RaAAAPj4+DWy1d3JHrEJDQxEbG4vu3btbXF5dXQ0AHMDMCe76zDN19OhR\n",
"JCcno3v37pgzZ06j2uutmiJO1HjuiJMoijh06BAAYPz48a5rrBVM/lqJgoICVFRUwNfX1+avAlJH\n",
"0VOnTjVV01q1kydPAgB69+5ttf9JREQEIiIioFarcf78eYe3aatTr7Ts9OnTzjbZ67kjZuQ6zRGf\n",
"H3/8EYChLIoc19SxOnfuHLKzsxEUFITBgwc3alvexN1xKioqwr///W8olUo8+eST/BGlgfhvU8vg\n",
"jjgVFhaipKQEgO3vfq7C5K+VkPoWde7c2eZonl27dgUA5OfnN0m7WjtpNLqoqCib60nn3dLodaZE\n",
"UTTGxtY2pWVXrlxh/wonuTpm5FpNHZ+jR49i9+7dANDowS68TVPGKj09Ha+88goUCgUee+wxBAUF\n",
"NXhb3sadcdJqtdiwYQOqq6sxf/78BvcXJP7b1FK4I07Sd/iOHTs2ybRDHPCllSgvLwcAu6WZ0uiQ\n",
"0vrUOGVlZQAcP+8VFRU211OpVMZkztY2AwICoFQqoVKpUFFRwZJcJ7g6ZuRaTRmfgwcP4t133wVg\n",
"KJe/9dZbG7wtb+TOWFVUVBgHPygsLERZWRluvPFGzJo1y2pJKFnmzjh9/vnnyM3NxciRI43dEahh\n",
"3P3Zl52djXvvvRdKpRIRERHo1asXxowZY3UEULLMHXEqLS0FAOOPJ9euXUNKSgpyc3Oh0+nQs2dP\n",
"jBs3zmWJIZO/VqKmpgYA7PY3kpazVtw1pPPo6HmX4mSN6XJHtqlSqexuk8y5OmbkWk0RH1EU8eWX\n",
"X2Lbtm0AgDvuuMPi4EpkmztjpdFokJmZafbamTNncOjQIURERFjsD02WuStOGRkZ+Oabb9CxY0fO\n",
"EecC7oqTn58f+vfvD8AwJVFJSQkuXLiACxcuIDk5mZ9/TnJHnKRttmnTBllZWVi/fr3ZXN3Hjh3D\n",
"N998g+eeew7R0dENbboRk79mlJGR0eDRGqOioswGdpHm3LM3iifnH3MtR+c6lM67vfUbMnci51t0\n",
"jqtjRq7l7vioVCq88cYbSE1Nha+vLx566CE+sWggd8aqffv22Lp1K/R6PUpLS5GZmYlt27bh22+/\n",
"RVpaGlatWsUE0EHuiFNpaSneeust+Pj44KmnnoKfn1+j2kjuu5+Cg4OxfPlys9dKS0uxZ88e7Nix\n",
"A9988w06depkdbBAMueOOEmTxP/+++9ITExEz549MW/ePERGRuLixYv46KOPkJOTg3Xr1mHDhg2N\n",
"/uxj8teMzpw5g6SkpAa9d8iQIWY3qjTho70netLyxk4QSQaOPkl19Jci07ioVCqbN7ij2yRzro4Z\n",
"uZY741NdXY2VK1fi7NmzCA0NxXPPPYcbbrih4Y31ck1xLwmCgPbt2yM+Ph4333wzXnjhBRQUFGDX\n",
"rl2YNWuW8432Qq6OkyiKeOONN3Dt2jU8+OCDLMN1kab8tykkJAQzZ86ETCbDtm3bsGPHDiZ/DnJH\n",
"nKTvfidPnkT37t2xdOlSKBSGFK1Xr15Yvnw5Fi9ejOLiYhw+fNjiVBDOYPLXjGbMmIEZM2a4ZFvt\n",
"2rUDABQXF9tcT1oeHBzskv16O2fPu7S+NX5+fvDz80NtbS2uXLlidfTBqqoqqFQqCILQJJ2DWxNX\n",
"x4xcy53xeeONN3D27FlERUVh6dKlFuf8I8c19b0UGBiI++67D6+//joOHjzI5M9Bro7TlStXkJ2d\n",
"DQDYtGkTNm3aZHXdmTNnAgASEhIQExPjcJu9UXP82zRp0iRs27YNRUVFKC0t5WeiA9wRpzZt2hj/\n",
"njZtmjHxk/j6+mL06NH46quvkJOTw+SPDKRRhwoKCqDVautdOBJpEmN7oxSRY6TzeOHCBZvrOXre\n",
"ZTIZunbtitzcXFy8eNFq8idtLyIiwupQw2SZq2NGruWu+Bw9ehTp6ekIDQ3FkiVL+CXHBZrjXho0\n",
"aBAAQ9maRqPhtAIOcHWcpD5ktsrZTpw4AQAYMGAAAHB0Vgc0x/0UFBSE4OBglJeX49q1a/xcdIA7\n",
"4tSlSxfj39aqUSIiIgC4ZhA6Jn+tRMeOHdGuXTuUlZUhOzvb4jwher0ex48fBwCXdBglGH/JPHPm\n",
"DGpqaiyW0xYUFKC4uBhKpdKh8piYmBjk5uYiIyMDo0aNsriO1FeUcXSeO2JGruOu+Hz55ZcAgIce\n",
"egihoaEua683a457SepHI4qizWmN6DpXx8lSH7K6pCd+L774YsMa7YWa69+m2tpaAGAfWge5I05d\n",
"u3aFj48PNBoNtFqtxXWkfoGu+MGf8/y1EjKZDMOHDwcA7Nmzx+I6x44dQ2lpKcLCwtC3b9+mbF6r\n",
"1blzZ3Tv3h1qtRoHDhywuI4UjyFDhjh0044YMQIA8PPPP1v8hUetVuPgwYNm65Lj3BEzch13xCcn\n",
"Jwf5+fno0qULbrrpJlc216u5I1aFhYVITU01zntVl/R6p06dIAj8CuMIfua1DO6Ik1qtRl5eHoqK\n",
"iiwuz83NhUqlQtu2bTlllIPcESe5XI64uDgAqDfKseTs2bMA4JKkn5+crciUKVPg7++PX375xfiE\n",
"T1JZWYmPP/4YwPVf5EzNnDkTM2fOxKOPPtokbW1N7r33XgDA9u3bjXO1SM6ePYvdu3dDoVBg+vTp\n",
"xtezsrKM5/ztt982e0+3bt0wbNgwaDQafPTRR/X299lnn6GsrAz9+vUzDt9MznF1zMi1XB2f3Nxc\n",
"AOB8Vm7g6lhlZmYiMTER7733Xr196fV6fPHFFwCAkSNHuvpQWjV+5rUMro7T1atX8fe//x3Lli2r\n",
"N+WATqfDJ598AgBWq4zIMnfcT5MmTYIgCNi2bRuuXr1qtuy3337DoUOHIAiCS2LFss9WJDg4GIsW\n",
"LcL69euxdu1a3HnnnejVqxeKi4uxa9cuFBUVYfjw4TYvHA5r77zBgwfjtttuQ1JSEl588UVMmzYN\n",
"ERERyM3Nxa5du6DX67FgwQJERkY6vM358+fj/PnzOHToEKqrq42jcB06dAhHjx5FSEgIFi1a5K5D\n",
"avXcETNyHVfHp6qqCoAhsfjnP/9pc90pU6ZYLJsny1wdq7i4OHz66afIycnBihUrEB8fj/bt26O8\n",
"vBx79uzB6dOnERUVhdtvv93NR9a68DOvZXB1nDp27IjBgwcjIyMDS5YswW233YaOHTuioqICSUlJ\n",
"yM3NRUhICO666y43H1nr4o77qUePHpgxYwa2bt2KZcuWYerUqejSpQsKCgqwbds2qFQq434ai8lf\n",
"KzN06FA8++yz+Pe//23s4wIYhsuePHmySybyZIJY37x589CmTRts27bN7Bdrf39/PProo/USbnvn\n",
"sG3btkhISMBbb72F1NRUpKamGpf17NkTTzzxBMLDw117EF7G1TGri/dJ47gjPiUlJSgpKbG5Dn8B\n",
"d54rYxUUFIQXXngB69evR3Z2tnFUScnNN9+MRYsWsTSxAdz9mUeu4eo4PfXUU9i4cSN++eUXfPjh\n",
"h2bLunXrhsWLFyMwMNB1B+Al3HE/3XXXXfD19cXWrVvNRtEVBAG33367y0Y4lomc9btVUqvVSEtL\n",
"Q1FREYKCgjBo0CC0b9++uZvV6pWXlyM9PR3l5eUIDw9HbGxso+eJy83NxZkzZ6DX69GjRw8O8uJi\n",
"7ogZuQ7j03K4MlY6nQ6ZmZnIz8+HRqNB27ZtER0djY4dO7q41d6H91TL4Oo4Xb58GadOnUJFRQWU\n",
"SiVuuOEGjv/gAu64nyoqKpCRkYGSkhIEBQVh4MCBLnniJ2HyR0RERERE5AU44AsREREREZEXYPJH\n",
"RERERETkBZj8EREREREReQEmf0RERERERF6AyR8REREREZEXYPJHRERERETkBZj8EREREREReQEm\n",
"f0RERERERF6AyR8REREREZEXYPJHRERERETkBZj8EREREREReQEmf0RERERERF6AyR8REREREZEX\n",
"YPJHRERERETkBZj8EREREREReQFFczeAiIi8zxdffIFt27YBALZu3drMrSFnPProoyguLkZ8fDwe\n",
"eeSRJt9/RUUFtm/fjtTUVJSUlMDf3x/R0dF45plnmrwtREQtDZM/IiIPtHHjRvzwww8Nfn9zfTH3\n",
"BLbOnVKpRGRkJAYMGICJEyciPDy8iVtHjVFZWYlly5ahqKjI7DXT/2+IsrIyPPLII9DpdFAoFPj3\n",
"v/+NoKCgxjaXiMjjMPkjIvJAcrkcgmC5Ml+v1xv/traOtdfd7cCBAygqKsINN9yAIUOGNEsbTJme\n",
"B71eD5VKhQsXLuDChQvYvXs3Hn74YYwYMaIZW0jO+Pbbb1FUVAQ/Pz8sXLgQsbGxCAwMhFarbdR2\n",
"9+/fD51OBwDQarU4fPgw/vKXv7iiyUREHoXJHxGRB/rb3/6Gv/3tbxaXrVixAtnZ2QgPD8dbb73V\n",
"xC2z7cCBAzh58iTi4+M9Ivl78803ERYWBgCorq5GYWEh9u/fj+TkZKjVarzzzjvo3bs3IiIimrml\n",
"5IjU1FQAwOjRozFy5Ejj6wpFw7/O6PV67Nu3z+y1lJQUJn9E1CpxwBciohZGFMXmbkKLFBAQgB49\n",
"euChhx7C+PHjARie8tT94k+e6/fffwcAREVFuWyb6enpKC4uhlKpRGxsLADgwoULuHjxosv2QUTk\n",
"KZj8ERGR17n11luNf1+6dKkZW0LOqK2tBdC4J3117dmzBwAwatQo3HHHHcbXU1JSXLYPIiJPwbJP\n",
"IqJWrKioCI8//jgA4JFHHkF8fDxSUlKwe/du5OfnQ6PRYOPGjQgLC8PMmTMBANOnT8eMGTMsbu/A\n",
"gQN45513AFwfpTMrKwv/+Mc/zNY7ePAgDh48aPz/sLAwbNy40Wo7q6ursWvXLhw9ehRXrlyBr68v\n",
"evbsidtvvx2DBw9u+Amwol27dsa/pb5elhQUFODbb7/FiRMnUFJSAh8fH3Tp0gXDhg3D+PHj4evr\n",
"a1z3559/xmuvvQYAWLt2Lbp27Wq2Lb1ejwULFqC6uhqdO3fGunXrLO5z0aJFKCkpwcKFCzFu3Diz\n",
"9x8+fBiHDh3C+fPnUVVVhcDAQERGRmLIkCGYMGEC/P39zbZlGpuEhAT07dsX3333Hfbv34/CwkLo\n",
"dLp6o60WFhZix44dOH78OMrLyxEcHIy+ffti2rRpLnnilpaWhgMHDiAnJwcVFRXw8/NDp06dMGTI\n",
"EPzlL3+BUqk0W9/0Gpa88847xusQaPgAR0VFRcjIyAAATJw4EV26dEHHjh3x22+/4dChQ7j//vut\n",
"JprOnNu6I6RmZGTgm2++wfnz56HRaBAeHo5bb70VU6dONe7v1KlT+Prrr3HmzBmo1Wp069YNd9xx\n",
"B4YOHer0cRIRSZj8ERF5CVEUHRpFVCaTObVdmUxmHFjF2mA0tp7UFBcX4x//+IexpA8wlGOeOHEC\n",
"J06cwMMPP4wxY8Y41SZ78vPzjX937NjR4jp79uzBpk2bzI5Jq9XizJkzOHPmDFJSUrB06VKEhoYC\n",
"AAYMGABBEKDX65GVlVUv+cvJyUF1dTUA4PLlyygqKqrX1/Dy5csoKSkBALOk99q1a0hMTEROTo7Z\n",
"+teuXcO1a9dw5swZfPfdd0hISECnTp0sHo9arcYrr7yC48ePWz0vx44dw/r1680GUCkpKcGRI0dw\n",
"7NgxrFixwup77VGpVHjrrbfwyy+/mL1eXV2N3Nxc5Obm4vvvv8dzzz2HHj16GJdbur5kMpnZddrQ\n",
"AY6Sk5MBAP369UOXLl0AAGPHjsV//vMfVFZWIjU11aFky5FzK9mzZw8++OADs9cuX76ML7/8Enl5\n",
"eXj66aexd+9evP/++2Yl3mfOnMG6deuwYMECTJgwwZnDJCIyYvJHROQldu7cicLCQtxzzz0YP348\n",
"AgMDkZ+f3+gh7WNiYvDZZ58BAF5++WXjgC+OPol57bXXUF1djcceewxDhgyBXq9HWloaNm3ahMrK\n",
"Snz88ccYMWKE2VO2xtBoNNixYwcAQxIxatSoeuvs37/f+AX9pptuwj333IMuXbqgoqIC+/fvx44d\n",
"O3Dp0iVs3LgRy5cvBwD4+/ujd+/eOHXqFLKzs+sNGCI9YZKkpqbitttuM3tNSh46depkHKhGFEWs\n",
"WbMGOTk5EAQB9957L0aOHImQkBBUVVXh2LFjeP/991FWVoZNmzZh2bJlFo97y5YtuHr1KubPn4+R\n",
"I0fC19cX586dMy6/fPmyMfELDQ3FAw88gNjYWAiCgJycHHz88cd44403GjyypmniFxcXh7vuugtd\n",
"u3ZFZWUlDh8+jM8//xylpaVYtWoVXn31VePxh4eHG68v6en0okWLEB8f36B2SLRarbG0c+LEicbX\n",
"R48ejc8//9y43JHkz965leTn5+PHH39Ejx49MH/+fPTs2RP5+fnYsGED8vPz8dNPP+E///kPvv32\n",
"WwwYMABz585F586dcfr0abzxxhsoKSnBl19+yeSPiBqMff6IiLxEQUEBHnzwQdx9991o27Yt5HI5\n",
"unXrVq/Mrqnl5eVhyZIlGDlyJJRKJQICAjBixAjcd999AAxPhk6dOtWgbZs+OamurkZqaiqWL19u\n",
"/GI+ZcoUs6dMgOFJl5T4DRkyBM899xy6d+8OhUKB0NBQTJ8+3ViGmJmZafYlf9CgQQCAkydP1mvL\n",
"r7/+CgDo3bs3AEP5Y11S8idtR9rW6dOnARieSt15550ICQkBAAQGBiI+Ph6TJ08GAJw/f97quSgo\n",
"KMDTTz+NiRMnIiAgAAqFwtgWAPjkk0+g1Wrh7++Pl156CXFxcfD19YVCoUBMTAxefvllAIY58ZyV\n",
"lpZmTPwmTpyIxYsXo1u3bhAEAW3btsWkSZOwbNkyyOVyVFZW4qOPPnJ6H846evQorl27hvbt25uN\n",
"TNumTRvj///6668OHa+9cys5e/YsOnTogJdeegm9evWCIAiIiorCwoULjet88803iI6OxpIlS9C1\n",
"a1cIgoDo6GjMnz8fgGGSe9Mn10REzmDyR0TkJcLCwjzyicH48ePRs2fPeq/369fP+HdBQUGDtv34\n",
"449j1qxZmDlzJh588EEkJibi/Pnz8PX1xezZs3HvvffWe8+ePXug1WqhUCjw8MMPW9xuXFycsUxQ\n",
"SuqA60lbRUUF8vLyjK9XVFTg3LlzEAQBc+bMAQBkZ2dDpVIZ19HpdMjOzjbbDgB07twZCQkJSEhI\n",
"wPTp0y22p0OHDgCAqqoqq+eib9++VvtPlpeXG6dRmDx5ssVSWD8/P6v7t0caVKVdu3aYO3euxXX6\n",
"9OljfAL3888/o6KiokH7crZN48aNq1c2KvW11Ov1Zn1XrbF1but66KGH6vXN/NOf/mQsYxUEAYsW\n",
"LarXJtN7pLGT2hOR92LyR0TkJW688cbmboJFcXFxFl+Xnm4BMPaVc5YoivWmxoiOjsaGDRtw5513\n",
"WnzPiRMnABjKPdu0aWN121KfPtOnMD169DCW0UqJHHD9iV7v3r3Ru3dvhIWFQavVmvURO3PmDFQq\n",
"FXx8fMwS3+DgYMTExCAmJsZsoBqJXq83Jn2m/RPruummm6wuM+1LaGt+xoZcQ6IoGp9cDhkyxGb/\n",
"z2HDhtV7jzvk5eXh9OnTUCgUZoPqSPr374/IyEgAhkGO7LF1bk2FhoYiJiam3usKhcJ43Vibd9K0\n",
"PLuh9wMREfv8ERF5ic6dOzd3EyyqOzCKxLSPn62kxhZpJFO1Wo2VK1fi9OnTOHnyJHbt2oV58+ZZ\n",
"fM9vv/0GAPjpp5+MfcxsqaysNP4tk8kwcOBAHDlyBFlZWcZ+f1J/P+mJ3o033ojk5GSkpqbilltu\n",
"AXA9Qezbt6/N/o0qlQoZGRnIzs5GTk4OLl265FA/PGsDwQDAlStXjH9LSY8lgYGBCAwMtPmEsa6a\n",
"mhpjsmLvGpSepgLA1atXHd6Hs6SnfnFxcWjbtq3Fdf785z/js88+Q0FBAXJyciyWcUpsnVtT3bp1\n",
"s7pMirm1dXx8fIx/2xqhlojIFiZ/REReom6pWUM0NAmzJTAw0OLrzo46aouvry9eeOEFLF++HPn5\n",
"+UhKSsLNN9+M/v3711u3pqbGuH9H2lD3i/igQYNw5MgRYz9FURSNiZ1UGhgbG4vk5GSkp6cb32ep\n",
"v5+pgoIC7NixA0ePHoVarQYAyOVy9OjRA35+fsjMzLTZTlvxNy0/9fPzs7kdPz8/p5I/023b619q\n",
"um8pDq6mUqlw6NAhAMDhw4dx+PBhu+85cOCAzeTP0XvL1uBK0rXWFPcDEXkvJn9ERF7C0S+PthI8\n",
"06dcLU1AQAAWLFhgnK5g69atFpM/pVKJ6upqLFiwAOPHj3d6P3X7/en1epSXl6Nt27bGwWX69+8P\n",
"hUKB8vJy5ObmolOnTsjNzTV7v6l9+/bhgw8+gE6ng5+fH0aOHIlbbrkFAwcOhFKpxIEDB+wmf7bi\n",
"b/qksaamBgEBAVbXdbbk0DQxsvde04TPVhsa44cffjBLSB1x5MgRzJs3z+oTWUfvLUempJDL5U61\n",
"jYjIGUz+iIgIAIxz1NXW1lpd58KFCza3IX0J9tSytJiYGMTFxeHo0aPIyclBenp6vX5skZGROHfu\n",
"nLH801khISGIiopCXl4esrKyjOdz4MCBxnV8fX3Rr18//Prrr0hLS0NJSQlEUTS+11RhYSHee+89\n",
"iKKI7t27Y+nSpQgODjZbp7FJuTStAmCY8qFXr14W1ystLXU6cfL390dwcDDKy8vtXj+my22VnzaG\n",
"NLffzJkzMXbsWJvrZmVlYcOGDaipqcHRo0ctTgtCRNSScMAXIiICcP1JS2FhocXl0lQJtkhPeRoy\n",
"HUBTmTlzpjFJleaPMzVgwAAAhqkAbPWl0+v10Ol09QaUAa4/vcvKyjKOBlr3iZ6UdKamphpLPk0T\n",
"RElGRoZxHw888EC9xA8wH3G0Ifr06WP8+9ixY1bXqztBu6Okc3rs2DGb5Zw//PADAENybNomVzl1\n",
"6hTy8vKgUCgwfvx4BAcH2/xv6NChxlJNRwZ+ISLydEz+iIgIwPWBVzIzM+v16RJFER988IHdpz7S\n",
"wBdnz561+QSxOXXq1AkjRowAAFy8eBE//vij2fLx48dDEARcvXrVON9fXRqNBosWLcJ9992Hjz/+\n",
"uN5y0+Tv9OnTkMlk9aYCkJK/Cxcu4OeffwYAi9MFmJ5HSyNlHjlyxGzUUKk/oDNCQkKMief3339v\n",
"8QeAiooKbN++3eltAzDOQ1hdXY3/+7//s7hOWlqacVqFUaNGuWX+SWmgF3sjuUrkcrlxNNqsrCyz\n",
"gXGIiFoiJn9ERATg+pQLKpUKq1atwrlz56DVapGXl4e1a9fi8OHDNge9AIChQ4cCMPTdWrt2LfLz\n",
"86FWq5Gbm2uWoDS3GTNmGPtfffHFF2b9HMPDw42jfO7fvx+rVq3CyZMnoVaroVarcebMGaxcuRJl\n",
"ZWWQyWTG6QlMRUdHw9fXF9XV1dDpdOjevXu9USUjIyONpY3l5eUQBMHikz/Tc/7OO+8gJycHOp0O\n",
"V65cwSeffII333zTbLTJhk4DMGfOHCgUCqhUKiQkJODIkSNQqVRQq9VIS0vD8uXL0b59e4SGhjq9\n",
"7R49emDatGkADMnq6tWrce7cOeh0OpSXl+Prr7/Ga6+9BsAwHYKl+Rcbq6KiAj/99BMA2C33NCX9\n",
"UADw6R8RtXzs80dERAAME1tLJYhnz57FkiVLjMtkMhlmzJiBsLAwsznh6urVqxfGjx+P5ORkHD9+\n",
"HM8884xxWXx8vMXkpjl06NAB8fHxSElJQWFhIfbt22c2uMvUqVOhUqmwY8cOHD9+3GLiKggC7r33\n",
"Xov94xQKBWJiYupN8VDXjTfeiKSkJADmcwSaio6ONvZTLCgowPLly832s2DBAoSEhCAxMRGAoWzX\n",
"0nyA9kRFRWHx4sV4/fXXUVZWhg0bNpgtb9++PRYvXoyEhASntw0As2bNgk6nw65du5Cenm420qmk\n",
"Q4cOWLJkic1RMRsqJSUFWq0WYWFhVuNhSXR0NNq3b4+rV6/i4MGDmDFjhsvbRkTUVJj8ERG1MO4a\n",
"8l2hUGDJkiVITk5GSkoKLl++DF9fX/Tq1Qt33HEHi5seqQAAAdxJREFU+vXr59CTjwULFqBDhw44\n",
"cOAAfv/9dwiCgPDwcLMnWO4ctt7RbU+fPh2HDh2CVqvF9u3bMXr0aLO51GbNmoW4uDh8//33yMrK\n",
"MvZjDA0NRXR0NCZMmGAcvdOSQYMGGZM/S+WcgGHKByn5s5WQPPnkk7jhhhuQkpKC4uJiBAUFISYm\n",
"BtOmTUNUVBQKCgqM6168eBF9+/Z16lxIbr75Zqxduxbbt2/HiRMncO3aNYSEhOCWW27B1KlTHSqV\n",
"tGX27NkYOnQovv/+e5w8eRJlZWXw8/ND586dERcXhwkTJpjFwFVEUcTevXsBAKNHj3b6/cOHD8eu\n",
"Xbtw5coVZGZmon///px6gYhaJJloqac6ERERERERtSrs80dEREREROQFmPwRERERERF5ASZ/RERE\n",
"REREXoDJHxERERERkRdg8kdEREREROQFmPwRERERERF5ASZ/REREREREXoDJHxERERERkRdg8kdE\n",
"REREROQFmPwRERERERF5ASZ/REREREREXoDJHxERERERkRdg8kdEREREROQFmPwRERERERF5ASZ/\n",
"REREREREXoDJHxERERERkRdg8kdEREREROQFmPwRERERERF5ASZ/REREREREXoDJHxERERERkRf4\n",
"fza8bYGxNbqDAAAAAElFTkSuQmCC\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11e2d0b90>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 447
}
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(armrewards2, pulled_count2)\n",
"plt.title(u'Pull counts of Thompson Samplign with stop')\n",
"plt.xlabel('Truth Reward of Arm')\n",
"plt.ylabel('Count')"
]
},
{
"cell_type": "code",
"execution_count": 203,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x11e59f9d0>"
]
},
"execution_count": 203,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": [
"iVBORw0KGgoAAAANSUhEUgAAA38AAAKTCAYAAACpRrHCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
"AAAYmwAAGJsBSXWDlAAAIABJREFUeJzs3Xt8FNX9//H3TDZXMAQkEBAhKipyiYCXWrGCCWqLIMUL\n",
"ii2ifP1WEbXVLyD25wVqVRRRtFJR8augQisqUkqVi8FLbb824iXcpSKCXA333Mhudn5/bHdMyG52\n",
"N9lNsjuv5+PB47GZOXPm7DmTJZ89M+djWJZlCQAAAACQ0MzmbgAAAAAAIPYI/gAAAADAAQj+AAAA\n",
"AMABCP4AAAAAwAEI/gAAAADAAQj+AAAAAMABCP4AAAAAwAEI/gAAAADAAQj+AAAAAMABCP4AAAAA\n",
"wAEI/gAAAADAAQj+AAAAAMABCP4AAAAAwAEI/gAAAADAAVzN3QAAAIBgPB6PPvroI23YsEEDBw5U\n",
"r169mrtJABC3mPkDAAQ0ZcoUmaYp0zQ1derUOvv9+0yT/0oQfdXV1Zo5c6ZOPPFEFRQU6LbbblOf\n",
"Pn3UpUuX5m5aUGvXrtUDDzygH//4x+rSpYtSU1PVpk0bde/eXddee63mz58vj8fT3M0E4GD8jw0A\n",
"LcCgQYNqBVM1/yUnJ6tNmzY66aSTVFBQoHvvvVdr165t0vYZhtGgfUBDeDweXX755brrrru0Z8+e\n",
"Wvt27doVUV25ubn279LcuXPDPu7999+3j7vxxhvrLbtnzx6NGTNGeXl5evDBB/XJJ59o586dcrvd\n",
"OnLkiLZs2aLXX39dv/zlL9WnTx+tW7eu3vMF+xxo3bq1cnJylJeXp5EjR2rZsmUR9QUAcNsnALRw\n",
"1dXVOnLkiI4cOaJvv/1Wq1at0iOPPKIJEybo0Ucfbe7mAVE3Y8YMvfPOO5KkNm3a6Be/+IV69eol\n",
"l8ulsrKyiOqq+eVEQ7+oqO+4zZs36+KLL9a2bdskScnJybrwwgt1wQUXqEOHDjp06JC2bt2qt956\n",
"SyUlJdq0aZN++tOf6ssvv1S7du3CbkN1dbXKy8tVXl6uvXv3au3atXrjjTd09dVX67XXXpPLxZ90\n",
"AELjkwIAWpjLL79cl19+uf2zx+PR/v37tWbNGr3zzjs6ePCgLMvS9OnT1apVK91///3N2Fo0lRtu\n",
"uEHz5s2TJK1atUoDBw5s5hbFzrPPPitJcrlc+uijj9S7d+8G12VZVrSaVcfOnTt14YUX2rOT+fn5\n",
"eu6553TKKafUKTtz5kxNmjRJzzzzjHbs2KEHHnhAf/jDH4LWPWfOnFo/u91uHTp0SBs2bNCSJUu0\n",
"f/9+SdLChQvVt29f3XPPPVF8ZwASFcEfALQw/fv319ixYwPuKysr080336z58+dLkh555BGNGzdO\n",
"2dnZTdlENCPDMBL6Vttdu3bZs2jnnXdeowK/WPJ6vfrFL35hB35Dhw7VokWLlJSUFLB8Wlqannzy\n",
"SS1evFjbt2/Xyy+/rOnTpystLa1OWcMwgn4GSNKBAwc0ZMgQffLJJ5KkZ555huAPQFh45g8A4kir\n",
"Vq30/PPPKysrS5J09OhRLV26tJlbhaYUy5mslmDHjh3269zc3OZrSAivvfaaPvjgA0lS69at9dxz\n",
"zwUN/PySkpI0aNAgtWrVSoZh6KuvvmrQudu2bavZs2fbP+/evVulpaUNqguAsxD8AUCcycjI0Hnn\n",
"nWf/vGnTpmZsDZpDIgeANZ/pCxVMNaeat2yOGzdOnTp1Cuu4uXPn6siRIzp8+LDy8vIafP4zzjij\n",
"1s+VlZUNrguAcxD8AUAcqrlQxIEDB+zXL7/8ctgrFEq1V0JsTiUlJXrooYd04YUXKicnRykpKcrK\n",
"ylLfvn115513avPmzWHVs2nTJk2aNElnnXWW2rdvr9TUVHXu3FmXXHKJ/vCHP6iioqLe4yNJX1Ez\n",
"Fcaxq0hu3brV3nfSSSfZ299//32NHDlSubm5Sk1NVfv27XXJJZfYt/Ee64YbbrDr8T/vJ0kXXXRR\n",
"ndUgg61keeTIEc2cOVMXXXSRsrOz7VUju3fvruuuu86evYqGTz/9VLfffrv69Omjtm3bKi0tTSee\n",
"eKKGDx+ul19+WdXV1UGP9a94e9FFF9nb5s6dW+d91tzfXDZs2KBPP/1Uku8WzdGjRzd5G7Zu3Wq/\n",
"zs7OVvv27Zu8DQDiD8/8AUAcqhnwBVsxMJznwvxlmvMZsrlz5+r222+vc9va4cOHVVxcrOLiYs2a\n",
"NUvTp0/Xr3/964B1VFdXa/LkyZo5c2adAGP37t3avXu3Vq5cqWnTpmnu3LkaPHhwvW2KpD9CPYNn\n",
"GIa8Xq/uuusuPf3007X27d+/XytXrtTKlSv19ttv6/XXX29QO4K14bPPPtMVV1xhP0PnV15eri1b\n",
"tmjLli3605/+pN/97ne69957wzpXIBUVFbrlllv0yiuv1Nm3Y8cO7dixQ0uWLNEjjzyiP//5z+rb\n",
"t2/A9xCOlvC84z//+U/7dbdu3ZrlucTnn3/efj1mzJgmPz+A+ETwBwBxxu122ws9SFLPnj0bXFdz\n",
"3z44Z84c/epXv7J/zs3N1VVXXaWTTjpJpaWlWrt2rd58802Vl5frzjvvlMvl0vjx42vVYVmWrr32\n",
"Wr355pv2tvPOO09DhgzR8ccfr82bN+vPf/6zdu3apV27dmnIkCFauHChhg8fHpX3EKoPLcvSvffe\n",
"q6efflpZWVkaNWqUevXqpcOHD+utt96yZ5DeeOMNzZkzRzfddJN97NixY/WTn/xElmXppZde0j/+\n",
"8Q9J0sSJE3X66afXOs/5559f6+evv/5a+fn5Onz4sCSpa9euGjlypLp27aojR47oH//4h9555x15\n",
"vV7df//9Ovfcc3XJJZdE/P6PHj2qwYMH2wGRYRgaPHiw8vPz1bp1a61bt05//vOfdeDAAW3evFkX\n",
"XnihVqxYoR/96Ee16pk4caJGjx6tjRs36vHHH5ckDRgwoM4Mdri3V8bSv/71L/t1oEA21l555RXN\n",
"nDlTktS9e/dGBe4AHMYCADS7gQMHWoZhWIZhWFOnTq237IsvvmiXTUtLs0pKSux9L730kr3vxhtv\n",
"DHnebt26WYZhWKZp1tn3wAMP1Nsm/75Ax4Zj27ZtVuvWrWu19+jRo3XKrVu3zsrIyLAMw7AyMzOt\n",
"ioqKWvuffPJJu47U1FTrlVdeqVNHaWmpNXLkSLtcVlaW9e233zbqPdXsn7lz59ba980339Rqk2ma\n",
"Vl5enrVr16469dx000122f79+wc935gxY+xyH3zwQcj2XX311Xb5a6+91vJ4PHXKzJs3z36/1113\n",
"Xcg6A/n1r39dq19XrFhRp8zevXutQYMG2eVyc3Otw4cPB6zv/fffj+gaDsV/jQcap/qsWrUqaDsu\n",
"ueQSe9+9997b6DYee75jr7+Kigrrm2++sebPn28VFBTY5Xr27Glt3bo1KucH4Aw88wcAcaSoqEgT\n",
"Jkywf7711lt1/PHHN2OLGu6ZZ56xF/c4//zz9eKLLyolJaVOuZ49e2r48OHq2LGjWrVqVev5v4qK\n",
"Cv3+97+3f549e7Z++ctf1qmjVatWWrBggQYNGiRJOnTokB577LEov6PAqqqqlJmZqSVLlignJ6fO\n",
"/ilTptivi4uLVV5eHpXzLl++XJJvJu6JJ54IuHjKqFGjtHHjRm3YsKFB/bFjxw798Y9/lOR7XvLN\n",
"N98MeEttdna2li5dqh49ekiSvv32Wz333HMB67TiYDGbgwcP2q/btm0b9foty6r1nGNGRoZOPvlk\n",
"/eIXv1BhYaFSUlI0adIkrV69Wt26dYv6+QEkLoI/AGhhav7xW1paqm3btmnx4sW68cYbdcEFF9h/\n",
"eJ5zzjm1Ap9489prr9mvH3744Xqf5Zo/f7527dqlnTt3qk+fPvb2RYsW2cmuzznnHN1www1B6zBN\n",
"s9YKjXPnzpXH42nEOwjf7bffrq5duwbcd8IJJ9hBodfr1TfffBOVc/qffbQsy85FdyyXy6XTTjtN\n",
"p512mk444YSIz1GzD6+44grl5+cHLZuRkaHp06fbP7/wwgsRn6+lOHTokP06MzOzyc9fVVWlRYsW\n",
"6cEHH9T333/f5OcHEL8I/gCghZk6dar9jX9mZqZyc3M1YsQIzZ07V263W5L005/+VO+8847S09Ob\n",
"ubUNs337du3cuVOS1L59e1144YUNqufDDz+0X48aNSpk+V69etmLc5SXl+uzzz5r0HkjNXLkyHr3\n",
"+59jsyzLfkavsfyznJIvMFu0aJG8Xm9U6var2f/XXXddyPJDhgxRmzZtJEn//ve/tXfv3qi2pznE\n",
"aqZyzpw5mjNnjp577jnNmDFDEyZM0KWXXmr/zm/evFmPPPKIevXqVWsBGgCoDwu+AEAcMAxDSUlJ\n",
"Ou+883THHXfoqquuau4mNUrN3IRnnnlmg+tZv369/fqss84K65izzjpLa9eulWVZWr9+vc4999wG\n",
"nz8cKSkp6tWrV71lMjIy7Nf+AL+xHnvsMX300Uc6fPiwtm7dqiuvvFI5OTn6+c9/rqFDh2rQoEG1\n",
"ztsQ/v43DCOs/jcMQ3379tUHH3wgy7K0bt06dejQoVFtaA7+AFZS1IL1mgzD0NixYwPuq6io0Asv\n",
"vKD7779fhw8fVklJiYYNG6Z169apY8eOUW8LgMRC8AcALczll1+uyy+/XJLvVsU2bdooOztb/fr1\n",
"U6tWrZq5ddFRM1VFY/KT+W/5NAwj7CAiOzs7YDtipW3btiHTE8QimfkZZ5yhjz76SGPGjNEXX3wh\n",
"yZf2Yvbs2Zo9e7ZSUlL0s5/9TLfddpsKCgoadA5//0tqUP/XfHYunmRlZdmva/ZBU0hPT9cdd9yh\n",
"Cy+8UOeff74qKyu1f/9+Pfzww3rqqaeatC0A4g+3fQJAC9O/f3+NHTtWY8eO1Q033KARI0boggsu\n",
"iEngd/To0ajXGY6as1suV8O/h6yqqoq4nuTk5IDHRyrcvmvOW3P79Omj1atX680339RPf/rTWn1U\n",
"VVWlxYsX6+KLL9YVV1zRoIVmmrP/Y62ystJ+bZq1/1zq3r27/XrNmjVN1qaa+vbtq9/85jf2zwsX\n",
"LmyWdgCILwR/AJCgQj3fZVlWs8281LxtrubiGZHyr3QayXupOdvXmJUam2LWMBoMw9CIESP0t7/9\n",
"Tbt379acOXN00UUX1ZqNfPvtt3X//fdHXHfNlWabuv/DVTMojWSBn4qKCvt1zYBVUq0chZ9//nkj\n",
"Wtc4Q4cOtV/v2bMnbmdSATQdgj8ASCA1bx8MNZPz9ddfN9vMX5cuXezXNZ/bi1TNFTTXrl0b1jHr\n",
"1q2zXx+7TH7NgChU/4V7vmip2baGPhfYrl07jR07Vu+9956++uorXXnllfa+WbNm1Qp4wuHvf8uy\n",
"Iu5/wzCaJE1Bzeca/alFwrFr1y779bGz7ueff779eseOHU22cNCxjr1lurl+nwHED4I/AEggxx13\n",
"nP3av5pmMO+8806smxNUr1697Nsht2zZ0uD0Bj/5yU/s10uXLg1Zft++ffrkk08k+W7l+/GPf1xr\n",
"f7j9t2/fPhUVFUXa3EapGcQ0ZrbU75RTTtGCBQvsNBNVVVW1FuIJR6T9v3btWm3fvl2SLxA9/fTT\n",
"IzpfQ3Tu3Nl+vWPHjrCP+/rrr+3Xx+bS7N69e60A8OWXXw673oqKCh08eFAHDx5s9Oqru3fvtl+n\n",
"p6fXep4SAAIh+AOABOJPGSD5/tAOdptbZWVlrZx3Tc3lcunSSy+1f37iiSfqLf/qq69q8uTJuuee\n",
"e/Tdd9/Z20eMGGHfkrd48eKQs4gzZsywnzMbPHhwnRxtNVMu1DebM3PmzKityhmumis5fvXVV/WW\n",
"3b17t9599129++672rx5c9ByLperVsCQlpYWUZuuueYa+/WLL74YMnXDww8/bL+uOesYSzXzQkaS\n",
"EuHjjz+2X5966ql19t9+++326xdeeEH//ve/w6r3uuuuU7t27dSuXTsVFxeH3Z5AaubKvPjii+s8\n",
"mwgAx+JTAgASSN++fe1g6PDhw5o/f37AcrfffnvYf6zGyvjx4+3Xzz77bNCZo8rKSt1777167LHH\n",
"9Nhjj9V6/uqEE07QjTfeKMl3K+Q111wT9Fm8v/3tb3aSccMwNGnSpDplaqZ9eO655wLWU1hYqEcf\n",
"fTTEu4u+/v37268XLVpUb9ni4mINGTJEQ4YM0Z133hm03FtvvWUvWJKdnR3xTNw555yjSy65RJLv\n",
"Wb5Ro0YFvfXw+eef15/+9CdJvmfo7rrrrojO1VBDhgyxX//9738Pa8a2uLhY//rXvyT52nrRRRfV\n",
"KTNy5Eg7qf3Ro0c1ZsyYkLcKl5aW2rkRW7duHTIFSDDV1dV68MEH9cILL0jyXc8TJkxoUF0AnIXg\n",
"DwASSGpqqq644gr75/Hjx+u1115TdXW1JGnDhg0aPny4XnzxRfXr169Z84IVFBTo6quvluRbnOaq\n",
"q67SQw89pH379kmSnYfvyiuv1LZt2yT5Frg4ts0zZsxQz549JfmeJzv33HP1l7/8xX7P+/fv1+9/\n",
"/3uNGDHC3varX/3K/sO9ppqJyletWqUbb7xRJSUlknzB9OOPP66hQ4fKNM2Ax8fSxRdfbN9+WFRU\n",
"pDvuuMPOMXfo0CG99dZb+vbbbyX5Erz7++lvf/ub/uu//qvWbYxbt27Vb37zG40aNcreNmnSpJAp\n",
"KQJ56aWX7FtHV61apQEDBuj999+3k5/v3LlTd955p2655Rb7mN/97nc67bTTIj5XQ1x00UU6++yz\n",
"JfmuqWHDhtV7i+ratWs1YsQI++fRo0fXue1T8gVc8+bNs1Nc/POf/1R+fn7Q2ecjR47ohhtusL+c\n",
"uOmmm+osJONnWZZefPFFO9H7nDlz9Pzzz2vGjBm6+eablZubqwceeMAuP2HCBA0YMCBETwCAJAsA\n",
"0OwGDhxoGYZhGYZhTZ06tVF1bdmyxcrJybHrMwzDysjIsLKysuyfTz31VGvHjh1Wt27d7G3HeuCB\n",
"B+ptU836G+rQoUPWgAEDatVlGIZ1/PHHW6mpqbW2nXzyydbOnTsD1rNjxw6rd+/etconJydb7du3\n",
"r1P3qFGjLLfbHbRN11xzTa3ySUlJVnZ2tpWUlGQZhmGlpKRYr732mjVlyhS7zNy5c2vV8c0339j7\n",
"cnNzQ/ZDzfH/4IMPgpabP39+nbZ16NDBMk2zzrHLli2z0tLSapVPT0+3WrduXadPrrzySsvr9YZs\n",
"ZzDr1q2zunTpUqvOtLQ0q127drW2maZpTZgwod66Vq1aZZe/8cYbG9ymmr766qs6vxOnnHKKdccd\n",
"d1iPPvqoNWvWLGvq1KnWpZdearlcLrvMOeecYx0+fLjeujdt2mR17drVPsblclmDBw+2pk6dav3x\n",
"j3+0ZsyYYd1www1W27Zt7TI9e/a0SktLg77vcP+lp6dbjzzySFT6CIAzEPw10o4dO6wVK1ZYb775\n",
"prVy5Uprz549IY/Zs2ePtWLFCuvtt9+2/vWvf9X7RwgAZxg0aJBlmqZlmmajgz/Lsqyvv/7aGjx4\n",
"cJ0/FpOTk61f/vKX1qFDhyzLsqzc3Fz7vMfyBzfB2uTfF+jYSFRUVFj333+/lZmZaQcxxwYRY8eO\n",
"tUpKSuqt58iRI9bdd99ttWrVqk49pmlaXbp0sebMmROyPW6327rvvvusVq1a1amjV69e1scff2xZ\n",
"Vu3+CRb8maZpnXTSSSHPOWjQILt8fcGfZVnWH//4xzptC3ZsUVGRdf755wfsV8MwrKysLGvq1KmN\n",
"Cvz89u7da/33f/+3lZKSErD/e/ToYb399tsh63n//fftY6IV/FmW7//rkSNHBu2Lmv9cLpd10003\n",
"WeXl5WHVvXv3bmv06NFh1X3RRRcFvJZrvu9A/5KTk63MzEyre/fu1mWXXWY9/vjj1t69e6PWPwCc\n",
"wbCs/9yXgYiUlpbq+eeft1eNq2nIkCEaM2ZMne0ej0fz5s3TsmXLam3PysrSuHHj1Ldv35i1F4Az\n",
"rV+/Xh999JEOHjyozp07a9CgQTrxxBObu1kBVVVV6e9//7s2b96sAwcOKD09XSeffLIuuOCCiPLB\n",
"VVZW6v3339eWLVt0+PBhtW/fXnl5ebWe5wvHwYMHtWLFCn3zzTc67rjjlJeX12JurTtw4IBWrlxp\n",
"3+bZsWNHnXXWWfbtr8f6+uuv9cknn2jXrl2qqqpSmzZtdMYZZ+i8886LehL6I0eOqLCwUNu2bVN5\n",
"ebk6dOigs846S3l5eVE9T0N99dVXmj9/vj788ENt3rxZ+/btk8fjUZs2bXTaaadp4MCBuv7669Wj\n",
"R4+I6167dq1ef/11LV++XN99951KSkqUkZGhnJwcnX/++Ro5cqT9jCQANAeCvwaoqKjQlClTtHXr\n",
"VnXu3FmXXXaZOnbsqO+++05vvfWWDh8+rPHjx+vCCy+0j/F6vXriiSdUVFSk3NxcDR06VG3atNH6\n",
"9eu1dOlSeTweTZw4sdYD/QAAAAAQLSz40gBz587V1q1bdcYZZ2j69OkaPHiw+vTpo5/97GcaM2aM\n",
"2rVrpy1bttQ6Zvny5Xbg9+CDD+onP/mJ8vLydO2112rixInyer2aNWuWjhw5EpU2ut1uvf76602+\n",
"FDmaB+PtLIy3szDezsJ4Owvj7SwtYbwJ/iK0Y8cOrVq1SqZp6pZbbpHL5aq1/4ILLtCzzz6rG264\n",
"wd7m8Xi0cOFCSb5Vw1JSUmod47+VqLS0VEuWLIlKO91ut9544w0+TByC8XYWxttZGG9nYbydhfF2\n",
"lpYw3gR/EfLn5+nVq5e9tHUoX3zxhUpLS5Wdna3evXsHLONfMrxmUlkAAAAAiBaCvwj58/eceeaZ\n",
"YR+zceNGSVKfPn2ClunRo4eSk5NVUlJi55QCAAAAgGgh+IuQP9Hw6aefHvYx27dvlyR169YtaBmX\n",
"y6VOnTpJkr777rtGtBAAAAAA6nKFLgK/yspKVVZWSpJOOOEEeb1erV69WkVFRfZy4hdccEGd5aEP\n",
"HjwoSWrfvn299WdnZ2vbtm06dOhQbN4AAAAAAMci+IuAP/AzTVOWZenhhx/WmjVrapVZsWKFLrvs\n",
"Ml1//fV1jktLS6u3fv/+ioqKaDYbAAAAAAj+IuH1eiX5btGcMWOGtm3bpl//+tc6++yzdfDgQb33\n",
"3ntavHixli5dqlNOOaVOMuBQKRX9+w3DaHRbDcPQySefHJW60PIZhqF27dox3g7BeDsL4+0sjLez\n",
"MN7O4v/7vFnbQJL38FVUVNgpHEzT1NSpU3XaaafVKvPqq69qyZIl6t69ux566CFJ0uTJk/XNN99o\n",
"woQJOuecc4LW/+ijj+qzzz6rkyA+ELfbHXSZWMMwlJ6eHsE7AwAAANAUDh48WCf1W03JyclKTk6O\n",
"ybmZ+YtAWlqaTNOU1+vVmWeeWSfwk6RLL71US5Ys0ZYtW+TxeORyuZSVlSVJIVfx9O9v06ZNyLYs\n",
"WrRIb7zxRsB9J598sqZNmxayDgAAAABNa9q0adqyZUvQ/VdddZVGjhwZk3MT/EXAMAx16dJF27Zt\n",
"00knnRSwzPHHH28HiKWlpcrKylLXrl31+eefa+vWrUHrdrvd2rlzpySpa9euIdsyYsQIDR06NGg7\n",
"/UpKSlRdXR2yPsQ3wzDUoUMH7d27N+TtxYh/jLezMN7Owng7C+PtHKZpKjs7W5L0wAMP1DvesZr1\n",
"kwj+Ita9e3dt27at3oDK/2ygfzq3Z8+eWrx4sdasWSPLsgLe171u3Tp5PB517NhRbdu2DdmOcKeD\n",
"q6urCf4cwH9NVVdX85+HAzDezsJ4Owvj7SyMt3PUHN/mfDyLPH8R8i/icuwqn37+KdwOHTooIyND\n",
"kpSXl6fMzEzt27dPq1evDnjc8uXLa9UPAAAAANFE8Beh3r17Kzc3V1u2bNHKlStr7fN6vVq4cKEk\n",
"aeDAgfZ20zR19dVXS5Lmz59vp37wKyoq0urVq9W6deugt3ICAAAAQGNw22cD3HHHHfrtb3+rOXPm\n",
"aOvWrTr77LPldru1fPlyFRcXKycnR5dffnmtYy6++GIVFxerqKhI9913n4YNG6bMzEytX79eS5cu\n",
"VVJSksaPH69WrVo107sCAAAAkMhI9dBAW7du1VNPPWUv0uJ38skn63/+53/Uvn37Osd4PB7NmzdP\n",
"y5Ytq7U9KytL48aNU9++faPezj179vDMnwMYhqFOnTpp165dPDPgAIy3szDezsJ4Owvj7RymaSon\n",
"J6e5m8HMX0Pl5uZqxowZWrt2rbZt2ybJF/j17Nkz6DEul0tjx47VsGHD9OWXX6q8vFw5OTnq37+/\n",
"XC6GAgAAAEDsEHE0gmmaysvLU15eXkTHZWdna/DgwTFqFQAAAADUxYIvAAAAAOAABH8AAAAA4AAE\n",
"fwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/\n",
"AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8A\n",
"AAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAA\n",
"AADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAA\n",
"AOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA\n",
"4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADg\n",
"AAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAABH8AAAAA4AAEfwAAAADgAAR/AAAAAOAA\n",
"ruZugNPs3btXxcXFKisrU+fOndWvXz+5XAwDAAAAgNgi6ojQlClTtGHDhqD7XS6XXnvttTrbPR6P\n",
"5s2bp2XLltXanpWVpXHjxqlv375RbysAAAAA+BH8NVCPHj2UnJxcZ3ugWTyv16uZM2eqqKhIubm5\n",
"Gjp0qNq0aaP169dr6dKlevTRRzVx4kT179+/KZoOAAAAwIEI/hro9ttvV/v27cMqu3z5cjvwe/DB\n",
"B5WSkiKaDMyOAAAgAElEQVRJysvLU8+ePfXQQw9p1qxZmjlzpo477rhYNhsAAACAQ7HgS4x5PB4t\n",
"XLhQkjR69Gg78PPLy8vTgAEDVFpaqiVLljRHEwEAAAA4AMFfjH3xxRcqLS1Vdna2evfuHbBMfn6+\n",
"JOnjjz9uyqYBAAAAcBCCvxjbuHGjJKlPnz5By/ifHywpKVFJSUlTNQ0AAACAgxD8NZBlWWGV2759\n",
"uySpW7duQcu4XC516tRJkvTdd981vnEAAAAAcAwWfGmg2267TampqcrMzFRubq7OPfdcDRgwQElJ\n",
"SbXKHTx4UJJCLg6TnZ2tbdu26dChQzFrMwAAAADnIviL0MknnyyXyyW3263S0lLt2bNHRUVFKioq\n",
"0l//+lf99re/VVZWll2+srJSkpSWllZvvf79FRUVsWs8AAAAAMci+IvQ9ddfX+tnj8ej1atXa968\n",
"efr222/1xBNP6He/+12d40LdJurfbxhG9BoLAAAAAP9B8NdILpdLP/rRj3TiiSdqwoQJ2rRpkzZu\n",
"3KgePXpIktLT0yX9MAMYjH+/v3wobrdbbrc74D7DMOx6DMMgoHQA/xgz1s7AeDsL4+0sjLezMN7O\n",
"UXOMKyoq6p0YSk5OVnJyckzaQfAXJZ07d1b//v1VVFSkDRs22MGf/xbQUKt4+ve3adMmrPMtWrRI\n",
"b7zxRsB97dq10+zZsyVJHTp0CKs+JIacnJzmbgKaEOPtLIy3szDezsJ4O8udd96p/fv3B91/1VVX\n",
"aeTIkTE5N8FfFHXu3FmSdOTIEXtb165d9fnnn2vr1q1Bj3O73dq5c6ddPhwjRozQ0KFDA+6r+c3C\n",
"3r17VV1dHVadiF+GYSgnJ0e7d+8OeyVaxC/G21kYb2dhvJ2F8XYO0zTVsWNHSdKTTz4ZcuYvVgj+\n",
"osh/62ZGRoa9rWfPnlq8eLHWrFkjy7ICTuuvW7dOHo9HHTt2VNu2bcM6V7jTwZZl8WHiIIy3szDe\n",
"zsJ4Owvj7SyMd+KrOb7hPuYVC+T5i8DOnTu1bds2eTyegPvXrl0rybciqF9eXp4yMzO1b98+rV69\n",
"OuBxy5cvlyQNGDAgyi0GAAAAAB+Cvwg8++yzmjhxoj755JM6+woLC7Vjxw5lZWXpzDPPtLebpqmr\n",
"r75akjR//vw6C78UFRVp9erVat26ddDbOAEAAACgsbjtMwJDhgzRV199pdmzZ+vrr79Wz549lZSU\n",
"pM8++0wrVqyQJI0ZM6ZOoveLL75YxcXFKioq0n333adhw4YpMzNT69ev19KlS5WUlKTx48erVatW\n",
"zfG2AAAAADiAYXGDcURWrlypefPm6ejRo7W2p6ena/To0SooKAh4nMfj0bx587Rs2bJa27OysjRu\n",
"3Dj17ds3Ju3ds2cPC744gGEY6tSpk3bt2sUzAw7AeDsL4+0sjLezMN7OYZpmi1jVlZm/CA0ePFjn\n",
"n3++iouLtXfvXkm+dAp5eXm1Fno5lsvl0tixYzVs2DB9+eWXKi8vV05Ojvr37y+Xi2EAAAAAEFtE\n",
"HQ2QkZGh8847r0HHZmdna/DgwVFuEQAAAADUj+APAAC0KKZpyjR9a9J5vV55vd5mbhEAJAaCPwAA\n",
"0CKYpimvN0VlZYYKC325bPPz3UpPt2SaVQSBANBIBH8AAKDZmaYpw0jV5MkZWrAgRR6PIUlyuSyN\n",
"GlWl6dMNmeZRAkAAaASCPwAA0Oy83hRNnpyhV15JrbXd4zHsbdOmWZIqAxwNAAgHSd4BAECzMk1T\n",
"FRWGFixICVpmwYIUVVYa9rOAAIDI8QkKAACalWmaKixMtm/1DMTjMfTee8kEfwDQCHyCAgAAAIAD\n",
"EPwBAIBm5fV6lZ/vlstlBS3jclkqKHCz4AsANALBHwAAaFZer1fp6b5VPYMZNapKqakWwR8ANAKr\n",
"fQIAgGZnmr50DpKCpHool2VVidgPABqO4A8AADQ7r9cr0zyqadMsTZlSrvfe8yV5LyhwKy3N+k/g\n",
"R+QHAI1B8AcAAFoEX3BXqYwMU8OHu+1tvn/N2zYASAQEfwAAoEXxB3wAgOhiwRcAAAAAcACCPwAA\n",
"AABwAG77BAAAQFSZpinT9M0xcBtvw9GPiDaCPwAAAESFaZryelNUVmaosNC3Ymt+vlvp6ZZMkxVb\n",
"w0U/IlYI/gAAANBopmnKMFI1eXJGkFyNhkzzKIFLCPQjYongDwAAAI3m9aZo8uQMvfJKaq3tHo9h\n",
"b5s2zZJU2Qytix/0I2KJBV8AAADQKKZpqqLC0IIFKUHLLFiQospKw36GDXXRj4g1rhoAAAA0imma\n",
"KixMtm9RDMTjMfTee8kELfWgHxFrXDUAAAAA4AAEfwAAAGgUr9er/Hy3XC4raBmXy1JBgZuFSupB\n",
"PyLWCP4AAADQKF6vV+npvtUogxk1qkqpqRZBSz3oR8Qaq30CAACg0UzTl4ZAUpAUBeWyrCoRs9SP\n",
"fkQsGZZlBZ9XRtzbs2ePqqurm7sZiDHDMNSpUyft2rVL/EonPsbbWRhvZ4n38fYnJ6+s9C1KIkkF\n",
"BW6lpZGcPJBg400/Jh7TNJWTk9PczWDmDwAAANHhC0oqlZFhavhwt73N96952xZP6EfECsEfAAAA\n",
"osofqKBx6EdEGwu+AAAAAIADMPMHAADilmmadrJrZkkAoH4EfwAAIO74F8QoKzNUWOhbECM/3630\n",
"dBbEAIBgCP4AAEBcMU1ThpGqyZMzgiyFb8g0jxIAAsAxCP4AAEBc8XpTNHlyhl55JbXWdo/HsLdN\n",
"m2ZJqmyG1gFAy8WCLwAAIG6YpqmKCkMLFqQELbNggS8/mv9ZQACAD5+KAAAgbpimqcLCZPtWz0A8\n",
"Hl9ibII/AKiNT0UAAAAAcACe+QMAAHHD6/UqP98tl8sKOvvnclkqKHCz4AsiRuoQJDpm/gAAQNzw\n",
"er1KT/et6hnMqFFVSk21+MMdYfMFfGkqK0vV4sUZWrw4Q2VlqZLSuH0YCYWZPwAAEFdM05fOQVKQ\n",
"VA/lsqwqEfshHKQOgZMQ/AEAgLji9Xplmkc1bZqlKVPK9d57viTvBQVupaVZ/wn8+EMd4SF1CJyE\n",
"eWwAABB3fMFdpTIyjmr48HINH16ujIyjkioJ/BA2UofAabiKAQBA3PJ6vfJ4PPJ4PAR9iBipQ+A0\n",
"XMUAAAAA4AAEfwAAAHCkmqlDgiF1CBIJwR8AAAAcidQhcBpW+wQAAIBjkToETkLwBwAAAMcidQic\n",
"hOAPAAAAjvZD6hBTw4e77W2+f83bNiCaCP4AAAAA/RDwAYmKBV8AAAAAwAEI/gAAAADAAbjtEwAA\n",
"AAiTaZoyTd/8CbeJIt4Q/DWxvXv3qri4WGVlZercubP69esnl4thAAAAaMlM05TXm6KyMkOFhb4V\n",
"QfPz3UpPt2SarAiK+EDUEQUHDx7UpEmTdOjQIY0bN06DBg2qU8bj8WjevHlatmxZre1ZWVkaN26c\n",
"+vbt20StBQAAQCRM05RhpGry5IwguQANmeZRAkC0eAR/jWRZlp555hkdOnRIkmQYRp0yXq9XM2fO\n",
"VFFRkXJzczV06FC1adNG69ev19KlS/Xoo49q4sSJ6t+/f1M3HwAAACF4vSmaPDlDr7ySWmu7x2PY\n",
"26ZNsyRVNkPrgPCx4Esjvf3221qzZk29ZZYvX24Hfg8++KB+8pOfKC8vT9dee60mTpwor9erWbNm\n",
"6ciRI03UagAAAITDNE1VVBhasCAlaJkFC1JUWWnYzwICLRVXaCNs2rRJr7/+utq3b6+zzjorYBmP\n",
"x6OFCxdKkkaPHq2UlNofHHl5eRowYIBKS0u1ZMmSmLcZAAAA4TNNU4WFyfatnoF4PIbeey+Z4A8t\n",
"HldoA5WWluqpp56SJN1xxx1q1apVwHJffPGFSktLlZ2drd69ewcsk5+fL0n6+OOPY9NYAAAAAI5H\n",
"8NdAzz77rPbt26err75ap59+etByGzdulCT16dMnaJkePXooOTlZJSUlKikpiXpbAQBA7JmmKZfL\n",
"JZfL5egZoETrB6/Xq/x8t1wuK2gZl8tSQYGbBV/Q4sX/b2QzeOedd/Tpp5+qd+/euuKKK+otu337\n",
"dklSt27dgpZxuVzq1KmTJOm7776LXkMBAEDM+QKcNJWVpWrx4gwtXpyhsrJUSWkJEfyEK1H7wev1\n",
"Kj3dt6pnMKNGVSk11SL4Q4vHap8R+uabb/Tqq68qMzNTt99+e8jyBw8elCS1b9++3nLZ2dnatm2b\n",
"vWooAABo+UgB4JPo/WCavvcgKcj7K5dlVSlO3x4chOAvApWVlZo5c6aqq6t12223KSsrK6xjJCkt\n",
"La3ecv79FRUVjW8oAABoEqQA8En0fvB6vTLNo5o2zdKUKeV67z1fkveCArfS0qz/BH5Efmj54ncO\n",
"vhk8//zz2r17t4YNG6YzzzwzomMtK/h94jX3B8oTCAAAWh5SAPg4pR98wV2lMjKOavjwcg0fXq6M\n",
"jKOSKgn8EDeY+QvTqlWr9PHHH+vUU0/VtddeG7TcsUFeenq6pB9mAIPx7/eXD8XtdsvtdgfcZxiG\n",
"XY9hGASUDuAfY8baGRhvZ2G8W65IUgAMH+4O+UWwFJ/jHYt+aMksy1J1dbX9c2PGKh7HGw1Tc4wr\n",
"Kirq/T1ITk5WcnJyTNpB8BemDz74QJK0efNmXXfddUHLPfvss3r22Wc1cOBA3XrrrfatoaFW8fTv\n",
"b9OmTVjtWbRokd54442A+9q1a6fZs2dLkjp06BBWfUgMOTk5zd0ENCHG21kY75bH96hGODM+ho47\n",
"7riwv+CV4mu8Y9kPThFP443Gu/POO7V///6g+6+66iqNHDkyJucm+AvTySefLJcreHdt375dBw8e\n",
"VJcuXdS2bVudeOKJkqQTTzxRn3/+ubZu3Rr0WLfbrZ07d0qSunbtGlZ7RowYoaFDhwbcV/Obhb17\n",
"99b6dgqJyTAM5eTkaPfu3XH/jSpCY7ydhfFuuUzTVH5+ilyujKCzXr4UAFU6fLjKXgSuPvE43rHo\n",
"B6eIx/FGw5imqY4dO0qSnnzyyZAzf7FC8Bem66+/vt79s2bN0ocffqjLL79cAwcOtLf36tVLf/nL\n",
"X7RmzRpZlhVwWn/dunXyeDzq2LGj2rZtG1Z7wp0OtiyLDxMHYbydhfF2Fsa75amurrZTABy70Imf\n",
"PwVApF/ExtN4V1dXq1UrS3PnlunLL5P02WcuFRa65PX+8DdPQ/vBKeJpvNEwNce3OWe/4/ep2ziR\n",
"l5enzMxM7du3T6tXrw5YZvny5ZKkAQMGNGXTAABAI/lSAJRr9OijtZKAu1yWRo8+qunTy5WUFDw/\n",
"XLz7IbefobIy6aSTqvXUU2VavfqwCgrcjukHIF4w8xdjpmnq6quv1osvvqj58+erd+/etdI+FBUV\n",
"afXq1WrdunXQ2zgBAEDL5OQUAKFy+736aqmqqnw/J3I/APGE4K8JXHzxxSouLlZRUZHuu+8+DRs2\n",
"TJmZmVq/fr2WLl2qpKQkjR8/Xq1atWrupgIAgAj9kALA1PDhbnub71/zti2WwsvtVyZfKoRmaCCA\n",
"Ogj+oqS+JXoNw9BvfvMbzZs3T8uWLdOsWbPsfVlZWRo3bpz69u3bFM0EAAAx4g/4nMA0TZWVhc7t\n",
"N2VKuTIyTMf0C9DSEfxFya233qpbb7016H6Xy6WxY8dq2LBh+vLLL1VeXq6cnBz179+/3lVEAQAA\n",
"WppIc/sR/AEtA1FHE8vOztbgwYObuxkAAAAAHIbVPgEAABARr9er/Hx3rRVOj+XL7cesH9CSEPwB\n",
"AAAgIl6v185xGIw/tx/BH9BycNsnAAAAIubLceh75i9Qqofp08v/k+KhOVsJoCaCPwAAAETMyTkO\n",
"gXhF8AcAAIAGcWqOQyBeEfwBAACgUZyU4xCIZyz4AgAAAAAOwMwfAABAmEzTlGn6vjuPxmzXsfVZ\n",
"VvDUCQDQWAR/AAAAIZimKa83RWVlhgoLfQub5Oe7lZ5uyTQjX9ikvvrcbnfU2w8AEsEfAABAvUzT\n",
"lGGkavLkjCApDQyZ5tGwA8BQ9T3+eKlM01R1dXXM3hMAZyL4AwAAqIfXm6LJkzP0yiuptbZ7PIa9\n",
"bdo0S1JllOsj+AMQXSz4AgAAEIRpmqqoMLRgQUrQMgsWpKiy0rCf3WvK+gAgEnyqAAAABGGapgoL\n",
"k+1bMwPxeAy9915y2MFfNOsDgEjwqQIAAAAADkDwBwAAEITX61V+vlsuV/AUDC6XpYICd1gLvkS7\n",
"PgCIBMEfAABosUzTlMvlksvlapbbIL1er9LTfatwBjNqVJVSU62wg79o1gc4VXN/NsQrVvsEAAAt\n",
"TrTz6jWuLb50DpKCpHool2VVKdwmharv8cfLZVlukekBqKslfTbEI8OyrOD3HSDu7dmzhzxBDmAY\n",
"hjp16qRdu3aJX+nEx3g7ixPH258Hb+LEYHn1ymVZ4efVi1abvF7fKpzvvef7g7OgwK20tMYleQ9U\n",
"X3b2cSopKXHMeDuZE3+/G6MlfjaEyzRN5eTkNHczmPkDAAAtS7Tz6kWnTV5JlcrIMDV8uNve5vsX\n",
"vfosy1JycrvoNRxIIC3xsyHecIMsAABoMVp6Hjyv1yuPxyOPxxOV2YVo1wckqpb+2RAv6BkAANBi\n",
"kAcPQCB8NkQHPQMAAAAADsAzfwCAhGOapv3Nr/+5rESRyO9Nqp0HL9g3/OTB+0GiXw+AH58N0cHM\n",
"HwAgYfj+CE5TWVmqFi/O0OLFGSorS5WUFve3ASXye6uJPHjhccr1APjx2RAdzPwBABKCfwnwyZOD\n",
"LQFuyDRb5hLgobjdbkkpCfneAol2Xr1Ek8jXOlAfPhsajzx/CY48f85AniBnYbyDSdPkya3qLAHu\n",
"N3r0UU2bVqZ4WwLcMAwZRoYmTUpLuPdWn2jn1YsX4f1+J+a17kR8nkcuXj8bWkqeP4K/BEfw5wz8\n",
"5+EsjHddpmmqrCxVPXpk1fssyKZNB5WREV8zIklJSSorS9Xpp7dJuPcWDqc90xbq9zuRr3Un4vO8\n",
"4eLts6GlBH/cFA4AiHuJvAS4YfjanYjvLRzkwastka91IBJ8NjQMnwoAAAAA4AAEfwCAuFdzCfBg\n",
"4nUJcMvytTsR3xsil8jXOoDYI/gDAMS9RF4C3Ov1KiPDSMj3hsgl8rUOIPZI9QAASAiJvAT48cdn\n",
"aPr0UkmJ994QuUS+1gHEFqt9JjhW+3QGVgtzFsY7uHhdArw+/vH2fZ4nJ9R7Q13h/n4n4rXuRHye\n",
"O0dLWe2TmT8AQMLw/cFbqYwMU8OHu+1tvn/N27bGSuT3hshxPQBoCII/AEDCiYecTw2VyO8NkeN6\n",
"ABAJFnwBAAAAAAcg+AMAAAAAB+C2TwAAHMA0TZmm7zvfcG8VNE1TSUlJMgxDlmWpurqaWwwRVQ25\n",
"LgE0HMEfAAAJzL8qZFmZocJC36qQ+flupacHXxXS98d4iqqrDR0+bGjVKpdMU8rP9yg93ctqkmi0\n",
"hlyXABqP4A8AgARlmqYMI1WTJ2cEyQdnyDSP1vpD2zcTkyqPR7rnnvCPA8LVkOsSQHQQ/AEAkKC8\n",
"3hRNnpyhV15JrbXd4zHsbdOmWZIqax1z6JChhx5Kj+g4IFwNuS4BRAcLvgAAkIBM01RFhaEFC1KC\n",
"llmwwJck3P/MlWma8ngMVVcrouOAcDXkugQQPfxWAQCQgEzTVGFhsn1LXSAej6H33kuuFfxt22Zq\n",
"1arIjgPC1ZDrEkD08FsFAAAAAA7AM38AACQgr9er/Hy3XC4r6CyLy2WpoMBtL6zh9XrVtatX7dpF\n",
"dhyaVjjpEVpqCoWGXJcAooeZPwAAEpDX61V6um/1xGBGjapSaqpVK/hzuSwlJSmi49A0fMFcmsrK\n",
"UrV4cYYWL85QWVmqpLRat+6GKtOcGnJdAogeZv4AAEhQpulbNl9SkCX1y2VZVar5N7ZpVqlt21RN\n",
"m1Ye0XGIrXDSIyQlVUlKafEpFBpyXQKIDsOyLKu5G4HY2bNnj6qrq5u7GYgxwzDUqVMn7dq1S/xK\n",
"Jz7G21kaO97+ZNqVlb5FNCSpoMCttLTwkryXlxsqLPQleS8o8CgtjSTvsRR8vNM0eXKrOukR/EaP\n",
"Pqpp08p1zz3pmjcvrZ4yZWoJKRQacl0mIj7PncM0TeXk5DR3Mwj+Eh3BnzPwn4ezMN7OEq3xbsgz\n",
"YKZpKikpSYZhyLIsVVdXO+aP8uYSaLxN01RZWap69Miq9zm5jRsPafz4DC1bFjiNgstladOmg8rI\n",
"aP7ZP7+W+mxiU+Hz3DlaSvDX/Dd/AwCAmPN6vfJ4PPJ4PGH/ge31euV2u1VVVSW3mwU4mku46RFW\n",
"rnQpLy/4F74tMYVCQ65LAA3Xcn77AQAAAAAxQ/AHAACiwjRNuVwuuVyuJpldaurzNZea6RGCcbks\n",
"DR7sUXFxUr1lQqVQCNWnTunz+tAHiGes9tlA33//vdatW6cDBw7INE21b99evXr1UlZWVshj9+7d\n",
"q+LiYpWVlalz587q16+fXC6GAgAQn/yLd5SVGSos9C3ekZ/vVnp6bBbvaOrzNbea6RGCLfgyalSV\n",
"0tIsdewY/L3Xl0IhVJ/62uGcPg/EadcdEhMRR4S8Xq/+93//VytWrKizLykpSSNHjtTPf/7zgMd6\n",
"PB7NmzdPy5Ytq7U9KytL48aNU9++fWPSZgAAYiWcFATRTC/Q1OdrKcJJjyBV6bHHJMsyIkqhEE6f\n",
"GoY0aZKz+rwmp153SDys9hmh119/XW+++abatm2roUOHqmvXrjp69Ki+/PJLrVy5UpZl6e6771b/\n",
"/v1rHef1evXEE0+oqKhIubm5Gjp0qNq0aaP169dr6dKl8ng8mjhxYp3jGovVPp2B1cKchfF2lpY/\n",
"3uGkIIhmeoGmPl/Tqm+8w0mP0LAUCqH79P/9vwr17NlGXm/dRWfivc/DE5vrruX/fiNaWspqnwR/\n",
"Ebrlllt04MAB/f73v9epp55aa9+cOXO0YsUK9e3bV/fcc0+tfe+++65eeukl5ebm6sEHH1RKyg/L\n",
"MBcXF+uhhx5S69atNXPmTB133HFRay/BnzPwn4ezMN7O0pLHO9wUBNFKL9DU52sO4Yx3OOkRwk2h\n",
"EG6fFhcf0h13tNLKlckB98dzn4cSy+uuJf9+I7paSvDHU6oRuvnmm3X33Xere/fudfb169dPku+Z\n",
"vpo8Ho8WLlwoSRo9enStwE+S8vLyNGDAAJWWlmrJkiUxajkAANEVbgqCaKUXaOrztVThpEcIN4VC\n",
"uH1aWJisfv08Qfcncp9z3SGRcIVGqF+/furfv78Mo+4HQFlZmSTp+OOPr7X9iy++UGlpqbKzs9W7\n",
"d++A9ebn50uSPv744yi3GAAAAAAI/qLG4/HonXfekSQNGDCg1r6NGzdKkvr06RP0+B49eig5OVkl\n",
"JSUqKSmJXUMBAIiScFMQhEov0FLP5wTh9ml+vluffx54ncBE73OuOyQSgr8oKCkp0fTp07VlyxYN\n",
"HDhQF110Ua3927dvlyR169YtaB0ul0udOnWSJH333XexaywAJADybIXmcrmUkpKilJSUqKYTqtn3\n",
"kuwUBMHUl14gknP5FjLxRnw+cg/WL9w+NQypsDDwddSYMY4HDbnugJaKVA8N9Oqrr2rLli06fPiw\n",
"tm/frvbt2+vmm2+2b9+s6eDBg5Kk9u3b11tndna2tm3bpkOHDsWkzQAQ78izFVpSUpKqq1N05Iih\n",
"lSt9/80PHuxRenqykpKqGrwIWH19//jj5ZKCpyAIlF6goedKSnL/J61B/eeTyD0YrnDSSBiG9Itf\n",
"VEVtjONNOH2U6H2AxEDw10DffPON1q1bZ/+8f/9+ffLJJ+rWrZtOOeWUWmUrK33L/qalpdVbp39/\n",
"RUVFlFsLAPGPPFuhJSUlSUqpp4/UoAAwdN+X67HHyjRlSnmd9AK+P4jDH5NwziVVado0K+j5JJF7\n",
"MAK+FBFH6+1Ty1K9+1vqe4uWcPoo0fsAiYHgr4Huu+8+SVJ5ebm2bt2qd999V5988omKi4s1YcIE\n",
"nXXWWXWOCbWEr39/oMVkAMDpvF5fUHNsni2Px7C3TZtmKbFzjdWvujqcPpKkyL5kDK/vy5SRcVTD\n",
"h7v/c4z3P/8iew+RjHNGhhnkfGlNeq0kwrXpC1zq61OFsT+xhddHQMvW8m9Gb+EyMjLUs2dP3XXX\n",
"Xbrsssvk9Xr18ssv1/pWNT09XdIPM4DB+Pf7ywMAfEzTVEWFoQULUoKWWbDAl9g6Hp6zigWXyxVW\n",
"H1VUGBE9AxhJ30sKK71ANM7lfwbw2PM19bWSaNdmqBQR4aaQSGT0AeIZM39RdO211+qDDz7Q3r17\n",
"tWHDBjutQ1ZWliSFXMXTv79NmzYhz+V2u+V2uwPuMwzDDiANw2Am0QH8Y8xYO4MTxzuSPFvDh7sT\n",
"KllyuONtmqZWrnSF7KOVK1268kpP2NdPU/Z9NM7V1NdKtM/nxN9vJ2O8naPmGFdUVNT7WZCcnKzk\n",
"5OSYtKNFBH8lJSXau3ev2rZta694GY9SUlLUo0cPffrpp9q9e7cd/HXt2lWff/65tm7dGvRYt9ut\n",
"nTt32uVDWbRokd54442A+9q1a6fZs2dLkjp06BDhu0A8y8nJae4moAk5abx9z0KH8w27oeOOOy4h\n",
"76AINd5HjhwJu67U1NSQi5D5NWXfR+NcTX2txOp8Tvr9BuPtNHfeeaf2798fdP9VV12lkSNHxuTc\n",
"MQn+Fi5cKNM0deWVV4ZVfsuWLZoxY4bOOOMMTZkyJRZNajL+KL7mrR09e/bU4sWLtWbNGlmWFfDb\n",
"nXXr1snj8ahjx45q27ZtyPOMGDFCQ4cODbivZv179+5t8MpuiB+GYSgnJ0e7d+9OqBkPBObE8TZN\n",
"U/n5KXK5MoLOsPjybFXp8OEqe5XlRBDueCclJWnw4BS5XFa9fTR4sEcVFVUqLS0N6/xN0fe+BVN8\n",
"d6pceqlLKSnpqqoKfItkqHM1tL3+Nki+/8uPvZ0v2P5o90+g8Q7VNsQvJ36eO5VpmurYsaMk6ckn\n",
"nww58xcrMQn+3njjjYiCv549e0pq+fnt3G63iouLZZqm+vXrV2e/ZVl2Tr+as3d5eXnKzMzUvn37\n",
"tN5qMAYAACAASURBVHr1ap199tl1jl2+fLmkugnigwl3OtiyLD5MHITxdhYnjXd1dbWdZ+vYRTX8\n",
"/Hm2EvULr1Dj7fH40jmE6qO0NEsejyfs88ay7/3pEUpLa6ZH8Ki4+LDGj29lr6gYybkibW/gNvyQ\n",
"okFSvftj1T/+L4vrOzdBYOJw0ue5U9Uc3+a8O6VF3Pbp/zAsLy9v5pbUz+v16vHHH5fX69WTTz6p\n",
"zp0719q/atUq7d27V506dVL37t3t7aZp6uqrr9aLL76o+fPnq3fv3rXSPhQVFWn16tVq3bp10Nk8\n",
"AHA68myFlpTkS+cgBe8jqUqRxsex6PtQ6RHmzSvVDTe00ooVKRGfK9z2SvW34fHHDVmWQqZwkGLT\n",
"P/Wn7WjZ6SMAtEyGFYOvGa655hqZpqkFCxaEVf6vf/2rXnnlFWVlZem5556LdnOi6plnntFHH32k\n",
"rKws/exnP1PXrl1lmqa++OILLVu2TIZh6N5777VnM/0sy9KMGTNUVFSkrl27atiwYcrMzNT69eu1\n",
"dOlSWZalCRMmqH///lFt7549exL2W3D8wDAMderUSbt27eKbQwdw8nj7Z2kqK406ebYSdSYk0vH2\n",
"J3mvqDg2ybsVlSTv0ev7NE2e3CrobNno0Uf1yCPl+tvfXJKMiM8VXnuDt8E0La1ff0gPPZRebxun\n",
"TSuTVBm1/vHfBrhr14GQ/eM/N+KXkz/PncY0zRbxbGdUgr/vv/9e33//vf3z1KlTZZqmnQsvkOrq\n",
"ah04cEDr1q3Thx9+KK/Xq4EDB+rWW29tbHNiqrKyUk8//bRWr15dZ192drZuvvlm9enTJ+CxHo9H\n",
"8+bN07Jly2ptz8rK0rhx49S3b9+ot5fgzxn4z8NZGG/ff6L+Z6v9ebYSVUPH2+Vy1eqjSG71rE80\n",
"+t40TZWVpapHj6x6n5PbtOmgjjvOYz/n1tBzBWpvqDYMHuzWU0+V6cwz24RsY0bG0Vr1NqZ/DMNQ\n",
"+/bttW1baVj9U/PciD98njtHSwn+onLb5/vvv19n5Umv16upU6eGXUf79u11zTXXRKM5MZWWlqZJ\n",
"kybpu+++08aNG3XkyBGlpqaqa9eu6tmzZ705fFwul8aOHathw4bpyy+/VHl5uXJyctS/f/+Ici4B\n",
"gNMlesAXDdEK9o4Vjb6PND1CY95LsPaGakP//h6tWhV+G/3niEb/eDyeiPqH3wUA4YpKxNGYbyoy\n",
"MzN17rnn6pprrlFmZmY0mtMkunTpoi5dujTo2OzsbA0ePDjKLQIAAACA4KIS/A0dOlSDBg2SYRiy\n",
"LEu33367TNPU008/HTQwNE1TaWlpat26dTSaAABAXGmuW1djed5AdQfa5vV6lZ/vDpmWoqAgdrNa\n",
"odrw2WcujRlT1ug2NqS/XS6X8vMro9o/TrpVGkBwUQn+MjIylJGRUWd7dnZ2NKoHACBh+BcGKStr\n",
"2uX7Y3neQHVfeqlbLpdUVqY655Oqwk6PEMvgr742FBa6lJSkBrexMf3tcrmi1j/Ndb0BaJli8qDZ\n",
"hRdeqKSkpFhUDQBA3AqV3iBWy/fH8ryB6i4ocOtnP3PXez5fWgpfiqfmSt0RKiVE27ZWg9rY2P42\n",
"DENJSe5G909zXW8AWq6YpHpAy8Fqn87AamHOwnjHs9DpDY5dvj864x35eRtat2laWr36sJ54Ii3k\n",
"+XwzT82buiNUigZJDWhjw/u75nj7k7w3vH9iOe6IBj7PnaOlrPZJ8JfgCP6cgf88nIXxjk+RpDeo\n",
"uXx/Y8e7oedtaN2DB7s1c2aZ+vYNP0VCS3geLVQbwm1jY/s70Hg3pH9iOe6IHj7PnaOlBH8xyy/g\n",
"9Xr1f//3f/r000+1c+dOVVRUhBWEPPPMM7FqEgAAzSbS9AbR+mM8lucNVHf//h69/35k52sJC5CE\n",
"akMkQVe0+7sh/dNc1xuAli0mwZ/b7dZDDz2kDRs2xKJ6AAAAAECEYhL8LV682A78UlJSdNJJJykr\n",
"K0spKSkyjODfQNW3DwAQP0It+V9TOLMaLeG2wMbypxa49NIqnXmm706Yzz5zqbDQJa/3h4U4jl2+\n",
"3zRNVVRUKCkpqUHvPZZpFQLV/dlnLl1/feNTJMRarK6plpDGoiW1A0DLEpPg75///Kck6YwzztDd\n",
"d9+t9PT0WJwGANDCBF9WXqqqkr74Ikm9e3tlWb6l9H/YH3gBi0RZpt4XZKQoPV3/n71zD4+quvf+\n",
"d+3bzOQCaMXgDVB6LCB31GpbhWQSQdRyPO1pPaIRQdsK9uQFIYCcvkJbIAgqtF7qqdqIVU9Pi0AV\n",
"aiAE9LS+nGpAIqKoFaEWw0Ull7nuy3r/2Nlz3bdJZpIhWZ/n8ZHsWXut32XtPXvN3vv3xbp1wVjx\n",
"jsrKAGSZYMGCAuzcKSaV7zd8b28n+OMfNQAFnfLdSdIA6LysglnfDQ0CZJn0qIyDHbmeU7mM95lo\n",
"B4PByC9ysvhrbm4GAMycOZMt/BgMBqOP4FRWfvXqIC6/XHVddr63lKnX7zB5oCiw9KW2th0bNngw\n",
"e3YElEYBZNd3J0mDrsgqmPW9YEEBamvbczJeV+iuOZXLeJ+JdjAYjPwhJ9U+Z82ahUAggBdeeIHp\n",
"/fUwrNpn34BVC+tb5G++rcvKcxzFwYMtWLHCl0HZ+d5Spt6LtjbOhe/BhIVH9n13kjTIhsh7Yt+G\n",
"yHs4jB6TcUin++ZUZ+Od7eM7l3lndJ38PZ8zsk2+VPvMyeJv+fLlOHjwIB599FEMHDgw290zMoAt\n",
"/voG7Mujb5GP+XYqK19eLmP9+gDGjnVX/h9AryhTz3EcolEP2ttJ3viey/cnnd717Mn3NXtK+iBT\n",
"/3N1fOdLHhjJ5OP5nJEb8mXxl/7mfRa47rrrAAAvv/xyLrpnMBgMRp7hVFZ+wgQFu3a5KztvXKS6\n",
"LVNvVkQmX+A4DkePcnnlu6ZpUBQFiqJkfQFg1ncux8uEnppT+eJ/vtjBYDB6lpy883f11VfjnXfe\n",
"QV1dHXiex4wZMyAIOZMUZDAYDAaDwWAwGAyGAzlZke3evRuXXnopDh8+jG3btuHPf/4zJk6ciIsu\n",
"ugiFhYW2kg6TJk3KhUkMBoPByCFOZeX37hVwxx2Zlf/vDWXqNU3D4MEazj47M196g+/5BpM+YDAY\n",
"jBwt/p544omkv1tbW7Fr1y5X+7LFH4PBYCST+q4OpRSU0o7KhSS2vacfKbMrK9/QIIDnkVHZ+VyX\n",
"qe+Od6A0TYMgUHg8mUkfZOJ7b32XK9t+ZUP6oDti3VVdR0ZuyeYcMPoKhULgOI7VaGB0C+xZTAaD\n",
"wchTrPTICgspjh9vQSAg5ZX2nVNZ+X79KGpqgpafp5adz1WZ+u7UDtTHAkSR4sEHs+s7IENVvWe8\n",
"BmIqucxPZ+dUd8yZbOk6MnJDNudAel8aysoklmtGt5CTap8nTpzo9L7nnntuFi1hsGqffQNWLaz3\n",
"YeiRLVyYrEdWURFFbW3ARqcsCEp7rvqldVl5QFF0kffRozVoWlzk3a7sfLbL1FvFNRfxSx1r0iQF\n",
"a9cG4fFQvPaafifU71fg9WoufJcA0JjvPC8DkLrFj+6kO/KT6ZzqLpu6a14yMieb+WG57rvkS7XP\n",
"nCz+GPkDW/z1DdjirzeSrkfGcRSNja14+GFv3mvfOZX8T8TNo1PZe9SqO7UDzXNYVqZg/HgFY8eq\n",
"8Puj0DT7sXieR79+/dDW1pbge2/RQEyle3X43M2p7rCpt+azt5DN/LBc91XY4o/RLbDFX9+ALf56\n",
"F1Z6ZOXlMtatC2DcOHd6ceyX42S6U+ctm2OlHt89pVeXa/LRr+6wKR/9ZsTJZn5Yrvs2+bL4y4k4\n",
"0qlTpzr9H4PBYPR1rPTIJkxQsHv3ma9911N0p85bLsfqLRqIqeSjX91hUz76zYiTzfywXDPygZwU\n",
"fJk7d26n9/3d736XRUsYDAaDwWAwGAwGgwGwap8MBiPP6a1l7O2w0iPbu1dAZaUbrTwFhBAIgtBt\n",
"Mcv0fb6u5jV1PEIICCGglEJVVdP+EuOqaUBZmYIJExQAemwbGgRwHJJ03jiOA8/zMUkNu/5TmTZN\n",
"xuLFIbz1lt63piXnrLOactnUq8vW8ZXaT+rfiqI49tFZv7J9jkidW7nUBjTkWsrKlB7XH+yL51o3\n",
"ZPN4Y1qTjHwgJ4u///t//6/lZ5qmob29HZ988gneeOMNnDhxApdeeim+//3v24q/MxiMvkV3luPP\n",
"N6z0yBoaBMiyO724zZu9AEjOY2aeJwWEAAcOcLjsMjVp/K7mNXH/d9/lMW6cCp4HAgGCXbv0xVtZ\n",
"mQKfL72CphHX5ctDmDZNhihS7N6t21BZGYAsE2zbJsLjoR1jeaGqBK2tyX17vQJ4ngKwrtDZ1qb7\n",
"N2SIittui0CWCRYsKIhVlwQ6r1OYLb26bBxfqf0MH65i2DANgQBBfb1+iVFersDnE8HzUdt30DP1\n",
"K9vnCOv+gOXLQ1i6tMDRps6NJcDvV3Oqaenelr51rnVDNo63XPTFYHSWnCz+LrvsMsc2V199Nb73\n",
"ve/h97//PTZt2oQ///nP+NGPfpQLcxgMxhmGUQrbWs6AgON698vwZnpkmkZQXe1DbW0gaTsQj01N\n",
"TRAzZxZixw4paXsuYuaUp5Urg5g1qxCDBlGsWUPA81EAUqfzmjheczPBs88GQCky6o/nZcyeTWzL\n",
"rBOiAPBAUYAlS8zbrV4dBM97AMT7d4pHbW07Zs4swmuvCV3SKdTH6rwGYraOr9R+qqrC+Pa3ZZvY\n",
"wnEB6NYvILvnCOeY6BqNDzzg67LepNlYfr+M2tp2R7+zfcpj51p3ZFNzNFf6pQyGW/Ki2ueTTz6J\n",
"hoYG3Hfffbjyyit72pxeBav22TfofdU+WSlswFqPrKCAAuAQDALbtwtQVWDqVAWKAsydW5h0d8kg\n",
"NzFzztP8+WFMnNgPt90WwapVISxeXNCFvOrjPf+8hMbGFvh8wIoVvgz7s7e5sjKMVatCaGsjjn0v\n",
"XRpCcbGW0L9zPJYvD4FSmpFOodXx3XkNxGwdX/F+BEHDxx+3YOlSp/wGAYRse3XnV7bPEW76CyIc\n",
"Rhb0Js3H8vtlrF0bhM9H8frrzhqY2YGda92STc3R9L4I/P5ojnPN6GnypdpnXiz+mpubUVVVhZEj\n",
"R+KBBx7oaXN6FWzx1zfoTYs/Vgo7ndR3cSil+MpXvoLm5gAef9yLoUM1lJdHcdll/RGNmleIy3bM\n",
"3OZp//4WVFUVgucpHnssiOHDOydTkTje5MkKnniiHdEowdix7vtzY/OUKVH8538G0N7u3PeBAy3w\n",
"+SgkKQIALudtC4qKoq7egTNwOr4zeVcrW8dXaj8LF4bwgx9EMGKEfczef78FxcXu/LfyK9vniEz6\n",
"KyqSY9s6+66q3VgcR1FRIeOZZwIQRcX1+6WdgZ1rO0c23400+iouLkZrayu7Xuvl5MviLy/qyJ5z\n",
"zjkAgE8++aRnDWEwGD0OK4WdjlEwQ1GU2IWGqqqoqxOxerUPhw9zqKuTLBd+QPZj5jZPu3aJMUHz\n",
"+nqh03lNHG/CBAX/+AePXbsymydubB47VsWRI5yrvnftEnD0KBe7gHM3b7P/toXZ/LAiW8dXaj/f\n",
"+paCnTud81tfL7ieg1Z+ZfsckUl/+r/dxbozY2kaQV2dhK1bJVCa2/e+2Lm2c2RyvLnpS1VV+Hw+\n",
"trhmdBt5cTR/8MEHAMB+8WAwGAwGg8FgMBiMHNHji7/PPvsMTz75JADg4osv7mFrGAxGT5NYCtsK\n",
"VgobEAQhFqe9ewVMnpzbmHEcB0EQIAhCx/sq7vJUWipj3z4B+/fzKC9XOm1j4nhvv83jootUlJa6\n",
"81n/t9BRUt9+n/37eQwZornqu7RUweDBWuzRr0zmLcdxEEURkiRBFLvvzkpnjy+n/P/5zwL8fuf8\n",
"lpdb3y1JjIkRF+M/Y9yu+GBFrs85ibED4Gqs8nLZ8hHfxDx0BSe/OY5iypQobrhBBiGE3f1jMHoJ\n",
"Oan2+fjjj9t+TilFJBJBc3Mzjhw5EtteUVGRC3MYDMYZBCuF7Q5BEGJxev55ybUERPbK31NXeYpE\n",
"9FL2t90W6VJek2UaopAkQJbhoj+grU3ssJ1i2jTFdp+SEg2CAPC8c9+UAjwft9eNf14vBSCZSkiY\n",
"yVNkm2zKKRQWxvt55BEPfvzjsCv/U9/30xcVekxCIYBSAkUBXntNv0SZPFkBz+uLIn2hEs3qOSJX\n",
"55yuSEf4fCRt8Z1tOQY7v43iM14vxdatIgCRyT8wGL2EnCz+XnvttYz3mTRpEr71rW/lwBoGg3Gm\n",
"wUphO0MIAc/LsRL01dU+PPOMtQREZ2LmVAZ+7dpgbHw7qYcZM6J48MEQAL3cf2dtTJRpMKQe9OqR\n",
"1v09/bQnqTx/RUXUVirDsPOssyTbvnWpB0DTdHv19/6Ioz0cRyDL1hIS3VFaP3tyCkGsXRv3d/16\n",
"r+180D+LIvENDz1uuqzGs896UFkZwf33+yznU22tF3fdRcBxcIx1ZvIL2T3ndFU64uyzi3DqVNBl\n",
"X52fM2Z+G7IT99/P5B8YjN5ITqp9zp0717ENz/MoKCjARRddhKuuugoTJ07MthkMsGqffYXeVO3T\n",
"IJtltXsbifkmhMTidOAAj9GjNWiaLggPdDVmzmXgH3wwAE1DUp7KyhRwHPDOOxxGjVKTxu9aXpPt\n",
"8ftlPPpoAEVFFKGQfoeR4wC/X4HXS1Fb6zG9u+L3y3jssQBEEbECLKk2JN6NCgbjfesi79RE5F23\n",
"7dgxDmvXBiFJFLt26f6VlsrgeaB/f4qWFmcJidTS+rk4vrMrpxDPvyHyHgqlirxTC40/L9raOKxc\n",
"6cW8eRE8/LDXUTrE59OwYkWBQ6w1aFpm8gTZPed0XjqC52WUlJQk5Du3cgzJfuuC88uWZSqhwugs\n",
"vfH7m2FOvlT7zAupB0buYIu/vkFv/vLIZlnt3oJZvhPjlEhnY5ZpGXhjH7fjZ5pXK3s4Tn8X6zvf\n",
"ieK88yiuvFIBzytobRVsbZckDR9+2AKfT4lVVbSyk+d5EKL3QylNK7+fahvHUZSVKRg/Xn+8cd8+\n",
"AYKg4ckng64kJFJL6+fy+M6WnIKxj9FPar9m0g4cxyEa9aC9nWD+/AI89FAQ48Y5y2sIArWN9euv\n",
"83jvvZZOyxN09ZzTVemI1B93ukuOwZjrra1ipyVZGJnTm7+/Gcnky+KPvb3LYDDymmyW1e7NJMYp\n",
"8b+uFHjJpAx8puNnmlcrezSNYMcOCT/6URGmTy/Gyy+LIIQ42h6NcqirE0EpdbRTlmVEo1FEo1HI\n",
"cnrRj1TbNI2gvl7EmjU+rFnjQ329iDFjNNcSEt1ZWj9bcgqp/SiKEouZlaYfx3E4elSPydixKnbv\n",
"diev8emnvG2so1GuSzHs6jknm9IR3SnHYGiINjR0XpKFwWDkPzl558+MQCCAzz//HOFwGAUFBRg4\n",
"cCA8HvNHChgMBoPBYDAYDAaDkV1yuvhTVRX19fWor6/H3//+96Tb2RzH4atf/Squv/56fOMb38il\n",
"GQwGg8HIkMQy8HaPf3WX5Eam9nSn7W7G27+fx9y5Gr7ylfyJqR3dEUNN0zB4sIazz5Yxf34BKisj\n",
"juOVliqxqp/5GsNsxi4f53JPx5fBYHSNnN2zb21txQMPPIBnnnkGR48eTXuOWdM0fPDBB1i/fj1q\n",
"amoQiURyZQqDwWDkLWZ6b2ZaXqnbUn9MMz5L/K8rj2UlloG3wqr8fTY07Mx05dzaoyh6gZGf/SyE\n",
"6uoQFi0KYuHCEBYt0v8uL5dx662RrMiFGPkqLtbH4zgzbTaKyZNleL2wbZfoQ7YvrDPVh+tK/t2i\n",
"aRokicLn0yU2DLkSu/GCQV0GIpd2dZVsxs6uL47T9QCffTaAwsLsvCvWHXlnMBg9C79s2bJl2e6U\n",
"UoqVK1figw8+AAAMHToU119/PaZOnYrS0lJcccUVOP/88/HFF18gEAigubkZhw8fxjXXXJNtU/o8\n",
"gUCAvUDcByCEoLi4GO3t7T1tCsMl+gLOg2BQxJ/+5MHBgwIuugjgeQHBoIhXX/Xg0CERF19MwHEi\n",
"gkEBr77qxaFDIi64gCAajYLnNWiahGBQwL59EgYM4BCJ8LF9L7yQQBQFcJzWqfMAx2m47jqK48c5\n",
"HDzIQ9PiJd9nzNBL0hMSTSo6k+rToEEEgsCD5wUQ4mxHvI+4v4YfPC/juus0R3sIIaCUx6WX6ouL\n",
"adMUTJig4vRpgv79KebMieCGG2QIgrmQtrvYpNrJ48YbZdxzTwSHDnH4+GMegC4tsXVrO0aP1vDq\n",
"qyI++si8nVVMga4d33bxdJoXmea/c3bpVWpnzoziv/9bwvz5YZw6ZT7eypVBbNwo4ZvfVFFRIefE\n",
"rmzRldil5tusL79fxsaN7fj2t6P46CMOhw7xXT7es2E7I3PY93ffgRCCoqKinjYjN9U+/+d//geP\n",
"PvooAGDGjBn49re/bdpO0zS88MILePnllwEA8+bNw1VXXZVtc/o0rNpn34BVCzuzMHS7Fi4ssNXW\n",
"ctbb0nXsdu8W8MwzAdt2lHa+8qGb8vdmPiXaUFMThCAAmmZth1MfcZ040dIeALE+mptJTuLixs7/\n",
"/V99Uff1r6u27fbs4XHiBNchT2Eu8t7Z49uNnU7+50JyxWr+r10bRP/+GgD97t7u3fqbKaWlusg7\n",
"z+uPexp5zncpmM7Gzqqab6Kky5VXqqiuzv7xbozFcR58+SXpkI2Ji8pzHHDWWdT2OGZkBvv+7jvk\n",
"S7XPnNz5e+GFF9Dc3IwpU6bglltusWxHCMGYMWNw8uRJHDlyBJFIhAm9Zxl2569vwH45PLOg1INF\n",
"i3TdLk3Ty9Vv3NiOn//cZ7vNQNMImpoEHD/OobIyiooKGT//eYFtO79fA2BeddHeVgpAgSRpGDFC\n",
"wfDhMgRBAaXJd81SfUq14eRJDldcoUCSOEs7nPrQ/VABhC3tMfp4/nkJf/hDwDF+nYmLGzsrK6M4\n",
"/3yKRYvs83LHHVFcdlm04y6k+Z3Izh7f7uJp77/b/HfVrsOHefz61x4cOCDgK1/RcNllKoYPj2L4\n",
"cH1RLIoqOC4xz9m3K9t01kazfCf2dd55nOO86uzxro/lQXV1IX70o0K8/74An0/Xp/zNb7xYsKAA\n",
"zc1d65+RDPv+7jv06jt/d999N1pbW7F+/XpXK9xjx45h3rx56N+/P/7zP/8z2+b0adidv74B++Xw\n",
"zMFMA6y8XMa6dYEkjTOzbakYumc8TzFiRO51wDLxycyGpqYWFBZSSFK6HZnqylmVxTf6mDxZcRW/\n",
"TOOSiZ2CAAwb1vW8dOb4zkY8c0G+2pVP2OU71/Fj+el+2Pd33yFf7vzlpOCL8etFSUmJq/ZGIAKB\n",
"QC7MYTAYjLzBTLdrwgQlTePMbFsqhu7ZP/7BO7bLpS6XWy2yhgYRR4+ai9FnQ88ssQ+38cs0LpnY\n",
"efQo12N56U59uN5g15lCruPH8sNg9H5ycuQWFhYCAD7//HNX7Y12BQUFuTCHwWAwGAwGg8FgMPo8\n",
"OVn8DR48GADQ0NDgqn1dXR0A4JJLLsmFOQwGg5E3JOpoGezdK2DyZOdtqRi6ZxdcoDq2y6UuV6pP\n",
"Rgn66uq4tIIk6W0GD9ZM7TCLS6Z+JPbhNn5OcTGTnHBnp4LBg7Uey4udnUZ+Fi8O4YYb5I5tzlIQ\n",
"mchFpLY1/iaEYMoUfT5YYcSFEJI2VqaSFb2NbBwnPdV/X88dg5Ev5OToMyp2bt68GXv27LFtu337\n",
"drzyyisAgEmTJuXCHAaDwcgbzHS0GhqENI0zs22pGLpn7e3O7XKpy5Xok98vo7GxFevWBTB4sC7i\n",
"vW5dAE1NrfB4KHje3A73+mJ6lUezi8fEPtzGzyouev9eBAIebNlSgC1bChAIeKBpEgoLne0EKHi+\n",
"5/TorOKZmJ8hQ1Rs3SqirU2CqnqwZ4835ifgTdKYNItFYhuD1LZ79nihqh4EAnrfmzf7IMsETU2t\n",
"8Ptlm7gAmzfH7eE4r2sbejO51uHLRf+ZzB8Gg5F7hFx0WlZWhj/96U84duwYHnnkEVxxxRX4xje+\n",
"gQsvvBBerxfBYBCffPIJXn/9dbz77rsAgNGjR+Mb3/hGLsxhMBiMvILjolizRn+nxijVvmBBAWpr\n",
"2x23AdZSD3btKI0il7UZOC6KtWv1Ev2LF9tJNciwqkFlFpfE/VeuDOLOOwsxaBDFmjUEHGdWOCbe\n",
"R3W1r1NxMaQI7PxYuzZoa+fMmUXgOIra2p7LS2o8J01SbKVDdLt9mDOnsMM+Ap6PApBsYhHPQ2rc\n",
"jPGWLDHfd8OGdsycWYgdO6Sk7TU1waTtFRVR1NYGXNnQF3A6Tro6r7LZv/Ox1Ldyx2DkAzmp9gkA\n",
"zc3N+PnPf46TJ086th05ciSqq6vh8/lyYUqfhlX77BuwamFnHnHdLg47dwrQNHQ8DgeEQgTbtwvQ\n",
"NIJp0/S7IOEwkrTCCgo4cFwEiiLEtL9Gj9Y6dLmEWLvu1T3zYvFivYS/GbffHkFNTQBA2LKHxLhs\n",
"3y5AVQlKS2VEo/pi2IiBXV+pmmiZx8WNH0G0tQGqSvDnP+v5u/ZaJc1Ov1/GY48FIIrAzp2dy0tX\n",
"ju/EWAAEy5b5bP2aPz+MiRP7QdNIzM8lS3zYsMFrEwsjD/G4cRxFY2MrHn7YazveqlVBbNsmACDw\n",
"+xXIMjB3bmEsfm77cZpXZxJu8p0L/cXc9N/1c0Jvh31/9x3ypdpnzhZ/gF6986WXXkJDQwOCwWDa\n",
"52effTZuuOEGXH/99eB5Pldm9GnY4q9vwL48zkw4jkM06sGrr4ooKaFobiZ46SURAMHYsfpx29TE\n",
"4/HHAygqij8iRynFueeei+bmZlBKY+9UpaJp5u/X5cqXbJWIN+Ly+ONeaBqwb5+AhgYhSdPMTV+d\n",
"iYtbP95/vwU//rEPo0ZpmDs3jCee8KKxMd1OAJAkDR9+2AKfTwGlNOO8ZOP4FgQBbW0Shg+3l77Y\n",
"v78FVVWFqK8XY37OnVuAujrJcp9Dh06jqEhGW5sYi5tbqZJDh06juFjXiwuFBPzTP/VHNBrPvyBi\n",
"lgAAIABJREFUWSb99BbpgUzynTjHc3G8d6V/JhvhDvb93XfIl8VfTh77NCgsLMTtt9+OGTNm4OjR\n",
"ozh58iTC4TB8Ph/OO+88XHDBBbkcnsFgMPIajuNQVyfihz9MF33dvj3+7507o5g+XYai6BfJhBAQ\n",
"kiju3H2LPCsyKRE/fbpzkZW6OhGrV1s/DeKmr87Exa0f9fUCRo3SQAjwyiuSra3RqO5PYg57goYG\n",
"wYV0iIjx4xXU14sxP8eMUdFRl810n507Rdx8s5oUt0ykNqZP13/YqKsTkxZ+nemnp4+D7ibXx35X\n",
"+s/mOYHBYGSPrC3+NE3DBx98gHPOOQfnnHNO0mccx2Ho0KEYOnRo0vZjx46htbUVl156KXvpl8Fg\n",
"MBgMBoPBYDBySFYWf2+//TaeeuopnDx5ElVVVWmLPysaGxvx29/+FoMGDcI999yD4cOHZ8McBoPB\n",
"yCpOjz4lli7XNC2juzvTpukl9996K/7IIMdRlJUpmDBBAcfp7wIaBTWMcaLRaOxv4y4gpdTVY4Vu\n",
"H+Uy69+ufVmZAkGgto94+f0KOI6DKIpQVdVR9sG+L/O7BVZ2G5/Z+eN27PJyBZs2SVBVgsrKdkyZ\n",
"IsYe1d27N/nxz1xLbRh+8TwPQggopbHYJsbCjV+lpTKqqgrT/DTm5MSJMi6+WANAcPgwh7ff5mO+\n",
"Jfa/d6+AysqAq/lg2Gxmn/t+shvfXD9OmQvyzeauHscMBiM3dPl22969e7Fq1SpXhV1SMZ5tbm5u\n",
"xooVK/Dxxx931ZxuIxKJ4K233sIf//hHvPTSS6ivr8cnn3ziat8TJ06gvr4eW7ZswZtvvtmjjwEx\n",
"GAxrnEqU6+8q+9DWJmHjRi82bvSirU0C4LN9j9not61NxLZtIoYMUbFuXQCNja24775QklTCkCEq\n",
"ZJlA0zyIRuPl8z//PABFkfDllyI2bvRi0yYvWltFhEIiolF3ZfitSq6nttu82YcvvxTR3i6l9Z3o\n",
"CyHO0gYA8NJLHnz5pQhV1Uv4p9rZ2XLzhi3RqAft7XpsNm/2dfjpjckZ2Pnjdmyvl6KkRANA0a8f\n",
"sG5dMEnaorExLmWQS0kH/YJf982YC5s3+xAIeAH4YnNm82YvvF7n/EQiJFYYx/Bz0iRdHuKJJ9rx\n",
"gx9EUVqqgOMoLrlExS9+EYTXC2iakBQ3t1IbgC7p0NYmwucDli8PJbXpqmRHppyJsgT5anOuZSkY\n",
"DEbn6NKdP0opamtrAQATJ07EjBkzcP7557ve/4YbbsBll12GZ555Bh999BGefvpprFixoismdQt/\n",
"/etf8eSTT6K9vT3ts5EjR2LevHno169f2meKomDDhg0xUXuDAQMG4J577sG4ceNyZjODwcgMpxLl\n",
"a9cSUGonawDwfDSt4JJdv8uXh7BwYRgLF1qX4j90iMeNN8qgFJYl9Gtqgqit9WL2bOsy/FYl1wHY\n",
"tlu5Mt53qgyAUdofsJdA2LlTTLJVEDwAIikLuczKzRv+1dZ6UFkZwbJlPldyBon+xGPlPDag59hO\n",
"2qK2th0bNngwe3YkJ5IO+sLPA0Wxnwu/+50HO3eKMckEp/xwHDBjRgRr1gRBiIxZs4Cnn9bjev/9\n",
"5nGtqQlCFNERG71/J6kSs/lg7P/AAz4oCoGmEVRX+7pFMuNMlCXId5tzLUvBYDAyp0vVPj/++GMs\n",
"WbIERUVFeOKJJyBJ5tXAnGhtbcWcOXMgyzIefvjhvC4E89FHH+EnP/kJOI7DtGnTMGLECADAhx9+\n",
"iFdffRXBYBDjx4/H4sWLk/bTNA0PP/ww3nzzTQwdOhQ33ngj+vfvj4MHD2Lr1q1QFAULFy7EhAkT\n",
"smovq/bZN2DVwnKBdYlyjqM4eLAFK1bYl82vqQkCCKV8Yt6v25L2K1cGEQgQx7Hnzw/jkUc8WLUq\n",
"iNQy/Nb26hfYTu3ifYfSZAD8fhlr1wYhSRSvvy6A53UJhFAoWQIhsb+lS0MoLtaQWu49s3LzXixZ\n",
"UoB58yKOMUyVM0iPlduxnWO6cmUQgkChaZ0vZW99fHvR1sa5mguGv+XlUfzmNwEEAgT19SI4juK6\n",
"6xR4PBR//auAzz7jUF4uo7iYdiwaJNdxXbo0hP79dVkNQ6rj3HMprrxSQSSiy5fwPDBpkv18qKkJ\n",
"mkib0I5+cyNtYMQzH2QJMjuf54fNduRaluJMh31/9x3ypdpnl54HOHz4MABg/PjxnV74AUC/fv0w\n",
"fvx4APoiKp959dVXoWkavve972HGjBmYMGECJkyYgO9///tYunQpCCHYt28fmpubk/bbvn17bOH3\n",
"s5/9DNdccw3GjBmDW265BQsXLoSmaXjsscfQ1tbWQ54xGAwDjuMQChG8+KL5ea2sTIGqwvJzQP8s\n",
"FCIQhPgDFnb9lpUpEEXq2KemAZQ6j+3zURw/ziEc1m2w88fYR1GIq3aSpPcdChEcP578NbJzp4iJ\n",
"E/uhqqoQHKe/01hVVYCJE/ulXegn+qQoxPTxTyCMgoIIpk8PYvr0IAoKIgDCaY97Gra4iaEk6e+v\n",
"pfoTDsdtcBrbaY4Yfbe1EUSj6b51FY7joCjE1Tz0+eL+AgStrUBVVQGOHOFw+DCPOXMKMGtWIfbs\n",
"EXDkCIeqqgKEw5nHVdOAaJRAEPR3Pz/5hMeePQJmzSrEnDkFIIRgyhTn+RAOA0VFclLc9cWz81zo\n",
"LG7zmThHepozxWa3xzGDwegeunQ2MBYqbgu82FFSUgJAvwuYz0yfPh0//elPUVFRkfbZV7/61dhd\n",
"y8T3/xRFwe9//3sAwO233562UB4zZgy++c1vor29HS+//HLujGcwGK5wKlE+YYKCXbvcyQGkvktn\n",
"1a/bkvZHjnDYvdtNyX69RP/OnaLrkutHj7prt2uXiDFj1JgMQCqapt9V+tvfeGzdKqKuTkrTvkvs\n",
"r6FBxNGj5pp8en96ER1FUSwLvDQ06AVX3MTQkDNI9ceIlZux3cbUybfOwnEcjh7lXM3DXbuEmL/6\n",
"3JVQVydhzRof1qzxYft2CTt2xP+uq5OS5o3buCb6akh1rFnjw44dErZvl3D4MIdXXpEc54OxKDSL\n",
"u9Nc6CyZyBLk0+LvTLI5V7ljMBiZ0aWzgVHQIBuPFRrV1/LhBGXHRRddhK997WsoKCgw/dwo3iKK\n",
"8V803377bbS3t2PgwIEYNWqU6X5lZWUAgL/85S9ZtpjBYDAYDAaDwWAwurj4GzBgAADgH//4R5cN\n",
"Mfro379/l/vqKT7++GM0NzeDEILBgwfHtr///vsAgNGjR1vuO3z4cIiiiFOnTuHUqVM5t5XBYFiT\n",
"WKLcjL17BZSWWn8OxMvkW8kImPU5ebJzn0OGaJg8WXFsV1qqoKkpvQy/3T6DB7trV1oqo6mJR3m5\n",
"PoYV+/fz8PudbS0rkzF4cOdL0xv+7d/Pu4phaamMffuENH8yKTnvNqZd9c1u/MGDNVfzsLRUifnr\n",
"du4mzhu3cU301Sw2bud4T5T+d5vPfJIlOBNtZjAYPU+XFn9f+9rXAAAHDhzo0uOaX3zxBfbv35/U\n",
"55nG6dOnsX79egDA2LFjMXDgwNhnf//73wEAQ4YMsdxfEAScd955AIBPP/00h5YyGF2H4zgIgpCk\n",
"b3cmk+qPU4nyhga9cIUbOYBEKRej35/9LITqav2/8nIZHEddl7QnBK4kFYJBgpISLWaDm5LrPE9d\n",
"tYtE4n3rcgfmlJS4K/VOCMDz6bINoihCkiSIYvyxNavtxcUUlZVhSFJn5AyAO+4Io7DQfbEFpznC\n",
"cXqe+/XTY8rzvOOxYndcybIMnueT5qgkUfh8zv6qKjBxoozq6hA4joLn3ZXfN+ZNSYnmam6KIuDx\n",
"6DEsLKS49dZIUpvOyDZ017nmTJQlOBNtZjAYPQ+/bNmyZZ3dubCwEI2NjTh16hROnjyJq6++OuM+\n",
"VFXF+vXr8dlnn+GSSy7B9OnTO2tOj3HixAn89Kc/RXNzMwYOHIiFCxfC5/PFPn/llVdw+vRpVFRU\n",
"2EphvP322/jss88wZswYDB06NCu2BQIBVj2qD0AIQXFxsan8SDbhOA6UehAMCnj1VS8OHRJx4YUE\n",
"oiiA47Qzbq7Z+cPzMq67TsPx4xwOHuSTBLtvvTWK6dNlVFTIpp/PmKGXMOe4aFJM9PF4XHqphi++\n",
"IOjXj+JHP4rgrrui+NvfOMgywaJFYcs+V64MYv16L0pLFZSXyzh50rxdTU0Qf/iDhOrqMGSZgOPs\n",
"/THsJSQKQlRcdx21tWHjRgmLFoXBcVFUVFi3XbMmBJ6XUVFhPW5NTRCFhQAheqyM0vWqKqC1lce2\n",
"bVJHXjh4PELS9tOneQwaxCEUEvHqqyJkmeBrX1Nx/fXWeVm5Moi5cwtx9CgX85tS4L33BBw6xGc0\n",
"nzlOM41VRUUUW7e2Y/RoFdu3izh4kMegQQSCwIPnBRCimcwLq3lIoWkSvvhCwZ/+5En4TPe3qYnH\n",
"zJlRnDhhnVdVBU6e5NG/v4Y5cyLo1w+YOtV+7sbzofv43/8tYf78ME6dst4HQEK+NEydquArX9Gr\n",
"vmoaAaUExcUali2znuPxeUi6/VxjlU+zuOSSTM7n+WIzo/N01/c3o+chhKCoqKinzeia1AMANDU1\n",
"xbT5xo8fj7vuust1AZhjx47hySefjD0WuXTpUowZM6Yr5nQ7H3zwAdasWYPW1lYMGTIEixcvxtln\n",
"n53UpqqqCs3NzfjJT35i+c4fAPziF7/AX/7yF9x5552YOnVqVuxjUg99g+4oFW1clFtp0OkX0fml\n",
"gWWHG3+AKFRVtCxRTgiBqupVPevr9TtJ5eVKx52eZI0/N+N9+SXBU095cNttUfh8+kVzfExdU66u\n",
"TkRJiYYrrlChaUAwqN/F4ji9YijPU6gq0NbGYcGCArz2muDan8S7Laml2fVHTfU7dIIQb29Xxp3n\n",
"ZQASnn7ag2nTZEgSxa5dIgD9kdjiYv0ulK7zpSXp1qXqlhkadamagvffb66XOHNmBG1temwEQY+N\n",
"x0Oxdy+PY8c4lJbq49fWemKacqn5cDOf4/5z2LlTwLnnarjqKtUyz7quIaBpyfqLZu2XLw9h9uyI\n",
"re7jzJn6hcTatcGUOaPA63XyjyIYdC6/b/ioVxclUBRg9259nLIyfb7bjROJxOft17+uOswHfaHS\n",
"U+eafJAlyPR8ng82MzoPk3roO+SL1EOXF38A8MILL2DLli0A9CIw48aNw+WXX46LL74Y55xzDgoK\n",
"Cjq+ZII4efIkDh8+jL/+9a9oamqKTfTp06fj1ltv7aop3UpDQwOeeuopqKqKq666CnPmzIHHk661\n",
"Yyz+/uM//sP2vb/169fjjTfewKxZszBlypSs2MgWf32D7vnyyH89qcxw74++KIlLAKReTCU+kmZU\n",
"tOvMeIYeG6BfVM+cGUFFhZy0UDDGGTBgAL788suOxQMBwGHvXh47d4rYu1dEQ4OQVFExE38MjHZG\n",
"QS5KqWV78z7jPnOcLjdgVJ3ct0/A+eerSdp6Vrp1qRqIbjQRKyvDWLIkDI+H4o03RDz3nIh164Jo\n",
"bBTR1MTjzjsjWLXKm6RRmJqPTOYzx3HgeR6yLGDx4gJHPby4rmHXdB/N54wumr1oUYGjfxwXdTUX\n",
"DB+N+WDMCUXhsWiRz3EcQVCgKGIsNvbzwVlrMtfnGrfHSC7o7Pm8J21mdB62+Os79KrFHwD813/9\n",
"FzZt2pS5AYTg5ptvxve///1smNFtbN68GS+++CIIIbjlllvwz//8z5ZtFy9ejMOHD2PBggW44oor\n",
"LNutXr0ae/fuxdy5c3HttddmxU62+Osb5PrLg+M4BAIeDB8+wLKsuCBQHDp0ukOTK78vOrrbH7fj\n",
"7d/fgqqqQtTXi7Ft77/fguLiaNKCMjXf+ZifTG0CgGjUg/Z2grFj+yftU14uY926AMaN07en/m3V\n",
"94EDLeB5ihEjBmDyZCW2T+K/sxkvtz43NbWgsJDC65XR1iaatnfro9mcOXToNAQBGDYst/MhkxwX\n",
"FVn7mtj2b387DVlGXs3l7oYtBvoWLN99h3xZ/AnOTdxxyy23YNSoUXjppZfw7rvvutpnzJgx+M53\n",
"voPhw4dny4xuYc+ePXjxxRchCAKqqqpw5ZVX2rY3qqI6VfE0PndT8VSWZciybPoZIST2zmHiL7SM\n",
"3ouR41zlOhM9qenT5bz/Autuf9yOZ+jPGRfyhlbgd76jJOU2Nd/5mJ9MbQKAo0c57N+frmGYqoHo\n",
"VhNx1y4BI0ZoUBSStI/b/TONVybaf2PHKhg+vOu6j2ZzZudOESNGqDmfD5nk+OabVddak++9x+fV\n",
"XO5ucn0+Z+QXLN99h8Qch0Ih2/OXKIpJsnHZJGuLPwAYNWoURo0ahePHj+O9997Dxx9/jNbWVgQC\n",
"AQB6gZgBAwbgkksuwYgRI5IqYp4phMNhPP300wCAu+++23HhBwCDBw/Gvn37koTfU5FlGceOHYu1\n",
"d2LTpk34wx/+YPrZ2WefjV/96lcAgHPPPdexL0bvIVe/KIVCIQBufmHXX1xPLHiUj3S3P+7HM8fj\n",
"8Zi+S23kOx/zk6lNOuY/aPUcmcVL99ntkxak4zWBXF3wuem3a/Mhkxy799VtPM6Mc01XyIc7BIzu\n",
"g+W7bzFv3jx88cUXlp9/97vfxfe+972cjJ3VxZ9BSUkJSkpKMHny5Fx036Ps2LEDra2tuPLKK137\n",
"N3LkSGzZsgXvvPNOx4vs6V9u7777LhRFQUlJCc466yzHPm+++WbceOONpp8l9n/ixAn22GcfgBCC\n",
"QYMGobm5OWePfZaVSRCEAttHsfz+KFpbozh9+nTWbTDsSH3/zGyb0dbqfTUzfwRBw/z5Ydx4o4zi\n",
"YuDvfycYO1Y19cdqTDu7U8cz3nmaMEF/nHP/fh6lpVFUVcUrgRlagaFQFO3t7UlyAYWFhWhpaYk9\n",
"9mmVH2OcK66QcdNNUQQCauwHOUpp7L/UWCbixsdUf3WbRAgCNZ0zHEdRUSHjhht0mwDgq1/lcd55\n",
"KiTJh2g0XtZ/714BlZUBCAKFpgGUAjfeGIUk6X8fPsyhsVGMyTeUlSm4/HIFN9wgQ9MASdKS+kj8\n",
"t/18ltHeLqOtrc1VLOJ5sO+3vFyGz0cRDiuYNk3A4sUc3npLSLL/kks0TJ0axcsvi9ixQ0x6fzOx\n",
"r9JSGVVVhWl2CwJc+Ne145XneUybJmLxYg6NjTwIAcaN03O5d68QK0Tk90cRCskd88H+HDJ4sNox\n",
"BzRce60aOz6M/jSNdMu5xi2ZngvckOvzeV8hF7nJBSzffQeO41BSUgIAeOSRRxzv/OWKnCz+ejM7\n",
"d+4EANt3/FIZM2YM+vXrh88//xyNjY24/PLL09ps374dAPDNb37TVZ9ubwcbF3aMvkGu8q2qakxP\n",
"yqoIg6EnlYsfG4xqdu3t+iNzAFBWJsPnQ6ySYHwbBccB7e1c7GJ60iQldjEsCHp1yUR/7rsvhPnz\n",
"w6AUCAT0xwU5Dhg5UoMgSOC4eMEVczvsq+qlxs/vl7F2bRCiSLF7t97PnXdGUFgIAPH8GVqBel69\n",
"aGtLrCoagc/niVUVNcuPMU5RkQaOI2htJXj/fQmjRmmgFAmLjXgs336bt/jcuXJgcnwE+P2q6Zwx\n",
"7CoooNi6VQQgxnIkihRNTa2YO7cwVrnQ0IdbvjyEadP0Kobbt+uflZYqqKjQq2cqCoktDv/nfwT8\n",
"6U8iysoUNDW14t57C2Iac88/L8X+bTefAWDzZi/KylQQAhw4wOGyy1TLWFAa192z67eoiIIQoLVV\n",
"QEODiCFDVNx2WwSEABwHqKpeTbOuTi9SEw4TLFhQEItHYl+JmoXGNo+HxrQgc3G8GnnWq6mK+PrX\n",
"ZcydG0Y4TLBjh75Aq6wMQJYJtm0TEzQDBUebeJ5CkoCmptaOqqK6z0Z/CxYU4PzztZyda9zS2XNB\n",
"JrDv787RHbnJBSzfvZ/E/PbkUwts8ZcBwWAQn332GXietxVsT4XjOPzrv/4rnn76abzwwgsYNWoU\n",
"vN54ZbQ333wTjY2NKCoqsrybx2D0NBwXxZo1+q+o1uXX9SqD2R1XL4WfWvo/sdz9737nwc6dYlI5\n",
"/XvuKcCOHVJa29paL2bPJuB53eaKChlTpshQFGDJEqvS8gDPRwFIlnasWUNii0S7+A0frqKyMmIq\n",
"UfBv/xbFb34TwKxZwKBBtEMrUIGm2Y1r2CbHtNYSpRA2bPB0jOdDczPBM88ELMeuqQniiitULFqU\n",
"uY9mefL7ZdTWtsdsStxmZYOhI7hhQztmzizEjh0SNI3g+edFLFhgLXuwenUQALW0/dlnA3jkEQ9W\n",
"rtRjVF3twzPPBJJsS7Vj5syipHm1cmUQs2YVduQmORaG/7W1HtTUBC37rakJghBY2llTE4z5nbi9\n",
"trbd1J6ZM4tid8MSj0MAOTleU/NsJ7kRlxiRoaruziH6o78SVqzwmbbZsKG9Qyoj++catzidk5zO\n",
"BYzcwXLDYDiTtWqffYGTJ0/i3nvvBcdxGDlypG3bIUOGoLKyMvY3pRQPPfQQ3nzzTQwePBg33XQT\n",
"+vXrh4MHD2Lr1q2glGLBggWYMGFCVm1m1T77Bt1VLaxn9KTcSyQYj8aZbUvc/sgjHqxaFeyw2YO2\n",
"NpImL5A6Rk1NEEuWOJe0tys/r8fP4ygFsGqVvkDQ7+pJju31xQZFba0X06bJKC7WQAjB8uVezJsX\n",
"wcMPe/H885Ir6YClS0MYObK/6WOG9j6a58m4y6dr0PHw+1UsW2YfayNHK1eGsHWrAEKAadMULFli\n",
"HgeOozh4sMUxh6tWBdHYyGH0aP1x0Xff5dLucl57rYJQyPxOW+K80gXqE2MR99/vl/GLXwTg9QLb\n",
"twtQVYLSUhnRKIHXS7FypbP/ZnN3+fIQ6uv5Dg2/uO6jEWc3eo1dP16T5TvczKnEODnbJPW4zIMz\n",
"uZW9YdUfu8KZJ0nE8t13yJdqn2zxlwEnTpzAj3/8Y1dtR44ciQceeCBpm6Io2LBhA+rq6pK2Dxgw\n",
"APfccw/GjRuXNVsN2OKvb9DdXx7dpSfVFYmE1G2J2+fPL8DjjwdQXKwgFBJM5QVSx3j//RbMnVuA\n",
"ujrJso1T+Xn3pfFbUFCg6/G1tUkYPtzZNq+XYujQASgtlfHrXwcQDhNUVRXgoYeCGckbNDW14N//\n",
"PTluTj46+WW831dbG0AgQBz9iecoiH79FGgajy++IBg92ny/8nIZ69cHHHN46FALfD6KX/5SwpAh\n",
"FOedpy/8mpv1uTx1qowf/rDQ9h07Y17t3i0kyVSk+l9REcXjjwfw1FNeaJquY0cIxSOPBDOWb0i0\n",
"v7hYhqqqabqPbvQando5kZpnt3IUVnMm1aZ8lCxJpTtsZIuBznEmzB8zWL77Dvmy+GOPfWbAueee\n",
"i9/97ned3l8QBMyaNQs33XQT9u/fj2AwiEGDBmHChAkQBJYKxplDdwkId0UiIXVb4vYxY1Ts3Cni\n",
"X/5Fw5EjHJqa0uUFUseorxcwZoyKlN9uktoY5eftLsLdlcYXMH26fnFcX+/OtsmTFSgKwfjxKj75\n",
"hMeBAzzGjlUzljdoaEiPm5OPTn5pGkFdnYSPPgq5KuMfz5GAm29W8MEH5hIQBhMmKNi1y11cR4xQ\n",
"sWpVYdrn1dUhvPIKsVzcJ9pmxCdRpiLV//HjVdTVSVi9Ov5eR3V1qFPyDYn2T58ev2Pn9jjM1vGa\n",
"mudMJTMSbTCzKVN5kJ5a/OW7jX0VlhsGwx1sxdEDDBw4EOXl5T1tBoPBYDAYDAaDwehDcM5NGAwG\n",
"o2fQNA1lZTIEwfpRGKPc/b59AjhOL6O/eHEIN92kF73gOJrUtqxMBsdR3HCDLhA9ZIiG0lLnMcrL\n",
"FTQ18bZt/H7912RBECBJEjweDzweDyRJgiAIrv3x++XYI3Hl5Ypj+4oKBUVFNCZjcMEFKvx+Gfv3\n",
"85g8WY5tN/5t76e+XyKJcb3hBjmhve4nx3G48UYZ998fRHV1COXlclLcOY5i6tQILr1UQ1mZsz+l\n",
"pTKamvhYPAcP1jrkC8z327tXcJVDv1/G4MGaabvE+Bj+VleHkvxJnGuJ+dY0DVOmyFiyJIhf/aod\n",
"v/pVAF/9qorrr49CkjTTMZz837dPSNtujBePKwdBECAIQmy+5JLU+evWn1S73fZv3Z+S9Nhod5LJ\n",
"MczuLHUvLDcMhjvY4o/BYOQtmqbFJAysMMrdE6IXn1i3LoAhQ1TU1YmYNSuCxsZW+P1yrG2/fhSz\n",
"ZkWwdauITZskCALA83Acw+ulKCmxvmAw2gAeqKqISITH55/z+MMfPNi0yYu2Ngma5kFRkb0/y5eH\n",
"4PUCX3wh4KWXPLEqdXbjGqX9ly8PAaDweICiIt1eQ9LAkEtw6quwkGL16mAsZn6/nBTXrVtFtLWJ\n",
"AHwIh0X85S8SWlsFBIMEQ4dquPhiFevWBWJx9/tlvPtuC3796yBOn0ZMgsDOhkiEoKREg9dLOxbT\n",
"sI1bQ4PgKoceD7WMZ6KchOHv4MH6wtPwZ/nyUExawegPADRNf1T0rruiKC1VYgtfSgmamuLzz20O\n",
"UuUbEu033o0DvAgEPNiypQBbthQgEPAA8OZ0QZR6PLr1x7A70/6t+gOAL77goaoecFxufU7EKFbj\n",
"9bqZa91iEiMBt/PH7XxkMHor7LFPBoOR1ziVh1+5Moh167y2EgaG5MHs2RE8/bQHDzzgi7VZsCCI\n",
"hQsjtuX5V68O4uGHPVi1KgRKiWWZeo7TdeY0zU42IoiHHjIfa/nyEGbPjssZTJqk4Kab2h2lA2bO\n",
"1OUH1q4N4s47I1i0qCAm67BhQ2byBoaUQW1tO9at8+L//J+wrTTElVdaS0Ns2NAOntd161KlAexs\n",
"2LBBj7Uoklh1VMMfq/369aMdcg/2MgKUUtP5xHHAO+/wSfE362PtWg9mzEiUJdDlHSorI1i2zFqe\n",
"wJBvWLCgwNZ/I59GwRlj+9q1QVAqg9KeLWWfejw6+ZOppISb433mzCK89poQi5cgeADktoBHooSA\n",
"01xcuTKIZ5/1YPZsMFmBbqanJIkYjDMJVu2zl8OqffYNenu1MOvy8LowOaXEUT6gpiY5mNA/AAAg\n",
"AElEQVSIZ5+VcP/96cU+7rsvhPvuC0PTgGBQv+vCcYDfr0BVgXvu0QXH/X4Zjz0WgCgCO3cKCXZQ\n",
"cBxBSwsAuJONAGiaP5IE3H9/QVoZ/WPHOKxdG4QkUezaZYiby+B5XdD8ssv6A0Ca3IEhs2BIP6gq\n",
"8N57HEaPVkEpSZMhSJQ3MKQR7r/fXt7CThqisjKMFStCMZ8MkuUf9DhOnqx0+EPR1sZh4UIfHn00\n",
"aOqPEQee1x955TgaW2SGQrodiXGKRnWx8ZkzwwDCtvPJnQxHXJZgyZKCmJyG3X4rVwbxxz+K4Dhg\n",
"2jQZggCEwzCRO9DnYOr2gQOLcerUKVDq6fFS9qnxKynRMHGiikiEmBwXmUtKpPavqroER+ocBeJz\n",
"sLhYQ27L9ydLCFjNxba2uI2dzUVvP5/nmp6RJOo8LN99h3yp9skWf70ctvjrG/SVL4/U93za2kT8\n",
"+tce3HlnFKNGdU2qwetV8dFHrfB4gE8/5XDkCIcnnpBiIuMGkqThww9b4PMpoDT+GF44LEJRgHDY\n",
"WTbi0KEWFBVFY/sSQhCNCmhpie+bWkaf4yjKyhSMH68A0KUDXn+dx759raiq0he0ZnIHxn4TJsgY\n",
"NkzDt78tQxBUBIM8Hn88LkPQ0CAk+elW3sJOGmLKlCgefTSIESPS42HYdfnlMu69N4K33hLwxhs8\n",
"9u4V0dAgoKxMsfVn/HgFHAfMmRNGQYHuzz/9k942NU7GYj61xLvZfHJbJh7Q5R3mzi2MyWnY7Xfg\n",
"QAt27xZw+DCPOXPCkKRIzAYgufplqgwCpRTnnXcejh8/jvZ2KW9K2afaaeVPZxEEAbIs4pe/9KKx\n",
"MX2O6m30OVhYSCFJufHZSkIgdS7efXcY99yj3+E1bOtMLvrK+TzXdJckUVdh+e475Mvijz32yWAw\n",
"zhgSv8AFQUBDgwhKCerrnct7O0k1hMM8tm0TMWKEimuu6W/ZVzTKoa5OLxWuKErMliNH9IsMt7IR\n",
"//IvChRFiRWIOXw4Wc4gtYy+pul+pi6yDFkAQmAqd5C6HyHtuPlm/Z3IRBmCzsTMSRpi7FhdrsEs\n",
"Hol2XXghxZEjHNasidtjJd+Q6s+wYWrMn2hUz4FZnDQNaSXezeaT2zLxgC7vkCinYbdffb0Y83HY\n",
"MDU2f8wuSFMvVAkhsf/nUyl7swvqbI+5bZvzPNXzoODSS7mcLf7M4p46Fy+6SMO4cSp27IjbxmQF\n",
"eo58XvAxGD0JK/jCYDAYDAaDwWAwGH0AtvhjMBhnJEZZ70Q5AysykWqwkgJIbZcqWD1kiIYLLnAv\n",
"G5G6/+DByftmKguQidyB25LobmJWVpYuS2Cwfz8Pv9+dtENqH7nwx67Ee6Z9ZDr/zCQiMoVS2qdK\n",
"2bvNSVmZftzmyudMJWcSt/WWXDAYjN4De+yTwWDkHW7f1SgupqisjIDngVtvjeC3v/V0vN+mP465\n",
"d68QK8svSbr0QfwduPQ2ulQDwc9+FsKXX5Kkz413jRJL/AtC/BTq8+kFR7xeip//PIj77y+AppG0\n",
"8c46i8ZKjQuCEHukL1Fy4rnnPLEy+rfeGsGxY3yavZoWL7E/caIMQvR4PPtsO/bvF5LaCYKGefMi\n",
"+O53oygupqAUsZLoVoVD3MpbEII0WQIDQ67BahyO02NVVETx7/8exne/G8VLL4kd7+jRDn8C+M1v\n",
"PKbveyWWbTdrmxj7sWNV+HzmJd6N+VZcrFc5fecdHpQS09x7vUZBCQ2Fhfr8kyQ4xtKQb5gxI7nU\n",
"fCbvJSWWsrfPW/r7jN35CFy23gV06y8hAM/H37/N9ntebu1IlejoTbICZ8r7cwwGwxlW8KWXwwq+\n",
"9A16ywvjRpW2UEh/jwcAyspk+HzxKm1mbSZN0kXOIxG92mNqRcz+/SmCQaCoCPjyS73qZWqbs87S\n",
"F0WRCCDLBDt2CFBVvQqlLBNUV/swaBDtKBVOEQgQvPsuj7Fj1Y73jgRoGlBaqqCwkCIaBR5/3IMZ\n",
"M2SIIsXu3boWXUWFAp/PGItAUYDXXhNQUqLhqqtUKEpcFqGqKox588JoazOqKBJMnixDlvXqlbNn\n",
"R9DWBjQ18Rg3TgOl+kIssTriG2/wuOkmveJlfb1+YVpertsgCMCCBdayBoTIoFS0lD4wpBWspB50\n",
"+QtAlpEmTVBREcWTTwYgSUAgQLBrl16U5brr9HwEgwSvvabbe801CsLheBXFRPkDRaFJc8Fo+9vf\n",
"SrjtNn3R//rreuzdzKWyMv39ybff5vC1r2lpuf/f/9XvhE6cqCIc1vM+cKCGq69WLeOUKKGhzx+9\n",
"2IvTXDdIPL4JISDEYytH8cEHHC64gMbmg13f2SQ1nkYVUCNOnbHDkFiw8leXegAojUJVRVfx7Kxv\n",
"dnYYEhSJ89PIdaZj59P53M05mdE18infjNySLwVf2OKvl8MWf32D3vDl4XRxpeuqRQFItheChp5a\n",
"6r7bt+tSDVb6aA8+GASl9gsZSnVJhwULdK2v2tqAZX/GRelTTyXrCib2l6o5mLggkmXA6wWqq63t\n",
"2b5dxHPPSbYah2bjpPpkJi3A8zIIkaBpQEuLrl+YePHHcfqC+f33OVx4YfJCI7Gsuo4EVSUxGY3z\n",
"zktf6CoKgd8vo7a23dKXBx8M4q9/5TFqlIqCAgpCiO18sfPbaS6lLtiCQeCHP9T198xsrKiI4pe/\n",
"DCbJgMQXkjxGjFBjMaPUfuzURUPq8W1eyl6BLANPPSWhqipiOx86syBxIvX4NfQcs2FH3F8OO3fq\n",
"P7KUlSkoKKDgeQpC5Izi2RUfrSRCFAWoq8uOrEC+nM/dnJNzMZf6GvmSb0buYYs/RrfAFn99g97x\n",
"5eG11S+rrAxj1aqQow7b/PlhTJzYL+kRQUNnbelSc806jqNpGnlmfdfUBLFkiQ+//a0npsFn137p\n",
"0hBCIWDixHQdPCtbOY5i1aoAbrtNduFrCABxtMNsnESfOC5i8kiXF21tHFas8OH55yVT+YQZM/RF\n",
"riSpoJTG5p7ZY2Ecx4Hn+Q5ZCx5tbcl6iIm6hk450IWzJUe9Oyu/M51LM2ZEMX9+GFdcUYw332yz\n",
"tJHjKFasCOH22yN49FEPVJWAEApKSSxmt90WcTV2oj6c1fEdfxRPwDPPePGTn3ht7TPrO3vEj1/3\n",
"uczMjsQ5RCmFqqqxudqd2odmj0Bm87HI/Dmfd29c+yr5k29GrsmXxR8r+MJgMHocjuMQChG8+KK5\n",
"nhwAHD/u3ObFFyVIkv6eV+r2SITg+HHzU15ZmS7m7tR3KKT3UVamwOulju01TX8PL9UeO1s1jaCh\n",
"QXLla3ExdWWH2TiJPnEcB0WJS0/of5NYTIyS9mvW+LBmjQ/19SI0TbcvHAYURYEsy0l9pKJpWkIb\n",
"pMW7rEyBKDr7Eg67my92fmc6l4x/z5sXsbVR0wh+8hMfWlsJ3npLj9eDDxYkxczt2OEwSXpnz3w8\n",
"fZHR1qaPO3my6jKGzn1nQmo+3OcyMzuMORSNRiHLcmyuZiuemdiROtfNtp3J9ERcGQxG98COWAaD\n",
"0eNY6WglMnasivp6Zw09Q/cudbuhWWeGlaacVR+6Bp+zLQ0NIj79lE+zx85WwL2vn37Ku7LDahzD\n",
"p9SLN47jcPQo5yomO3eKGV38WfWdqmvoNJ4bvbuuxtfY3/j3t77lzkZD+9AMt2O7jWtiLDKNYbZI\n",
"zUd32uF2LmTb594OiyuD0XthRyyDwWAwGAwGg8Fg9AGY1AODwcgqnXn3JVFHy+qX5v37efzgBxHb\n",
"NobWVlVVYdr28nIFmzZJHTYmyy9QipimnF3fRh+qSnDnnc62lJXJkCSKfft8pp9XVMjYtUvAokUh\n",
"UBqXcXDr64UXqigp0UzbGT5efrmCm26K4tFHveA4mvT+m+6TDEppTLbCyNewYRoGDkyPSWLsOA6Y\n",
"MkUGISQmf+CUf0PT8Oyzk/veu1dAZWXA0edUXT9FSZfT2LtXwOuv86ZzAch8LgkCxZQpMo4dI7j0\n",
"UtVxv4oKGU895UmLdyZju9WHS4xFpjHMFqn5yMQO/d/xuZepXW7OHdnyuS/JHXRnXBkMRvfC7vwx\n",
"GIysoF8UeREIeLBlSwG2bClAIOAB4HX17pKho2VFSYlzGzOtLWO7oVnn98tobGzFunUBDB6sL0Tu\n",
"uCOMfv2c+zb6IISisNC5PSFAa2u6PcbnhYX6xdMll6gYOlTFunUBNDa2YtIk2ZWvra0E4TBJa5fo\n",
"45AhKl59VcQdd0TQ2Ngau+AGgOXLQ/D5gNZWISFnXsiyiDff5CCKSOo7NXZDhqiQZYK2NgGq6gHg\n",
"c8y/rm9IY5qGBoauoZPPHg+Foiix+Jjlc926AJqaWsFx5hqEmc6lf/u3KDgOOHSIoLjYeT9BAO64\n",
"I5wW70zGdqsPl3jsZBLDbC/+En1ybwfQ1iZmfL4wMKpver3Iqc9dObedqbg5J/cmHUMGoy/B7vwx\n",
"GIwuY5QEt5I9WLOGdFRotL5I4Di9HQCLMv8hbN8uYuXKoGUbQ+rBuNuSWLb/kUe8qKnR77Cl21mA\n",
"5ctDHRIA5n0b8gBr1uhl3WtrPaipsbfFkHrgOMBw3a0Uwb59vK2vxv67dwt45plArJ1Tif3a2nbM\n",
"mlWIyZMVzJ4dsZU6+OMfxVhMmptJFyQlkvPPcVGcdVZ6/BYsKEBtbbutz5RGoWl6H2vXkjS5iMT2\n",
"q1cH4ffLadIfDz4YiuXSaixD6mHGjLiGGwDceGO7Y94rK4vw2mtCLN4zZ8b/djN2op9uSDx2qqt9\n",
"SfOhq327JfX4dZNLt/PFfLz4OceYm7nwORvntjMVp3NyruYSg8HILUzqoZfDpB76Bj1fKjo7JcHN\n",
"dLSuvVYXTd+wwYOlSwvg98tYuzaI4mLaIcROUFoqd+yvL7J27RIgSfq+oZC+qNi1S8A777SgpsZa\n",
"zmHFiiAqKyNobdULfPA8RUWFXp2yf38NmhZO8tXvl/GLXwTg8SAm8h7XH9O1+mRZr5q5e7cASnVB\n",
"+kR/rOI1f34YCxf6sGZNCJJEsWuXAFHU9w+FkkXM33+fx7hxutwCIQTLltlLVqxaFQQhcJQbWLky\n",
"iOeek3D99TLOOYfi/vszl9kwPkvNv37HJFn/z3iMVBCAcBhp2oPpumnO827VqiC2bRMAkLR+zOZb\n",
"WZn+OOs77+gi74nzx5AvOHaMw9q1wY686PuVluri9JQCl10Wl/a4/fYIli8PgVLqOLaVn26O78T+\n",
"DhzgMXq01qHNmK69mGuRd8MnQ+Q9EiEx7UNDF6+21n7+O58vknNvnBeMnPA8xXXXKfB6tS763P1y\n",
"Bz1/Po+TyTxldI58yjcjt+SL1ANb/PVy2OKvb9CTXx4cxyEQ8GD48AG274YcOnQaBQXuRZ15nkc0\n",
"KuCXv/Tg9tsjGDcu3n9FRRSPPx7AU095oWlx3TlAv3j/zneimDYtih/8oBA7dugl9svLZaxbF8C4\n",
"cf1t7dy//zRqa70ddgB33x3GvfcW4LHHgigqktHWJib5ynH6e3M33yzjvPM0HD9OUFEhQ1WBe+8t\n",
"xNixCi65RAOlBIcPc6BUfyQw0R9zO1pQVVWIhgYh5tP110fxwx/GfTLedRs/XgEhFMOGqfD7VQwf\n",
"bu/joUMtEASKYcPsbXj//RbMnVsASoH164MYPdopdrrN9fWiyZjm+bfSbnN6vyqTeVdcrIBSavme\n",
"VuJYhBCoqoBoFLbzJzH2gD4HX3+dx759rUkxMOJdVBSFoqRXAHXzHlkmx3dif4l05ztqqT4Z2wxS\n",
"j6FUnM4XVrlPzAnHAXPmhCFJnb8rl4tzmxvycTHQl9537G7yMd+M3JAviz/22CeDwegSmZQEnz7d\n",
"fRELjuOwbZsISgl275aS+h8/XkVdnYTVq9MLqdTXi5gwQcHLL0uoq4trVLktP79rl77PmjV63xdd\n",
"pGH0aA07d4q4+WY1zVdNI9i+XcL27fGxnniiHSNGaKirS7YBAKqrQ2n+mNuhywXU14sxn155Jbk/\n",
"Q3/PWGhUV4dAKXGRCwEjRqiupS0I0e/CZWJz+pjm+be6kHS6wMx03pktvMzGEgQBH33EYf9+wXb+\n",
"pMbeIDUGRrynTzd/dyrbF9L5cGFuVegH0OPb1fOFVe5TczJsmOr6nGNGLs5tZyr5MK8YDEZ26J1v\n",
"KjMYDAaDwWAwGAwGIwl254/B6OVk8riO0ZYQAkL0X7uNR/GMzxP7EQRdIHzaNBlTpkRjj8gJgoZ5\n",
"8yL41rf0uy1vvMHHSoKbPRJmPPZnPPpnUFamYONGCZWVyaXxnUrJ790r4I47Aqb7SJKGa69Vk2QB\n",
"9Pf1SFJ5f47TS/bfdFMUdXUCpk1TYjaZjWv4fM01Cq64QoGqAl6vinCYT2q3bx+Pu+8OY/FiDpoW\n",
"H9/o25BQmDo1ijlzClBeLmPCBAXDhqmYMkXGP/5BoKokyW4D9zICug+ZSFu4Kd1vJa2QWhLe7Zy0\n",
"a5fNUvSpj0p2RYqitDSK2lovqqtDAPScmNlgHDuAfowZ8z6bd1iy8aiemz4yySchJO18kYpT3rpL\n",
"hsBqHDO5E3ZXjMFgnCmwO38MRi8lk/LkqW03b/ahpUVAa6uA//f/PAgEvFBVD/bs8WLLlgJEo3pZ\n",
"/7Y2CRs3erFtm4h164JobGzFY4+14+OPW/CDH0Tw2WcEn31GcPfdUXi9ACFSbIw9e7yg1ANV9eDL\n",
"L0Vs3OjFSy950NIiIBLhEQzyEEVdWiG1bLxTKfmGBsFUSoDngaamdFkAoyS/Ud6fENohHxDE22/z\n",
"8PtVhMMEmzZ5QEh6Wfn77gvFfD52jGDLFhHhMMGHH7bivvtCsXZ+v9xR7ZFgyBA1Nv6777bgnXda\n",
"kiQUAIKnngriiSfaMXSovvhWFIK77ori619Xkuw2yERGIDU+Zu28XopJk2TXpfvNZDbiYwKABDdz\n",
"0s3czUYperNx2tpECALS+nYTg+XLQyguBu64I5Iwv4LweuNteJ6Hcey89JIXmzZ50doqor1dwp49\n",
"3qxICGRDmsBNH27HSWy3ebMv6XyRKoUBOOetu2QIzMaxkjvRNKnXyj4wGIzeBbvzx2D0QjIpT+7U\n",
"1ih5P2gQRU1NEA8/LOL662XT9suXh2zlA9asCeJXv/Jg3z4Rzz3XDkqBJUusy/QTAtTUhFBfL6bJ\n",
"MDiVku/XjyaV5J80SUG/ftTSzw0b2kEI8NBD3pikgZm8gd8vJ41bVRXGwoVhW58Jodi3TzSVYKio\n",
"iKK2NmAb/40bPdi5UzTNiSHdMGgQdS0j8PTTHnz5JWylLVauDOLZZz2YPTsCSokrCYGnnzaXtVi5\n",
"Moh16zyYNy/iOCcBZDB3O1+K3vkYCeLBB93POee5DwiCDEpFV8daZyUEsiO74twHz0cBSF3OpyGF\n",
"kTi/3UgIdJcMQeI4znInvVf2gcFg9B5Ytc9eDqv22TdIrxaWSXly57ZGCX9D82zpUh82bPAmteM4\n",
"GiuF7yQfcOoU4PMRrFhhL0mwdGkIqkpRXAw895wH06bJSeX1p07V7yiFQgS7d8cfnSQEOHCAw5gx\n",
"KkRRlw1wI4Hw058GoWnA/2fvzqOkKO+9gX+runobGIZ9URwRb9QQFjPIaxKNwMwoCkZiIhL1aoio\n",
"N16uGL1AQPQFjhsKCu7mNSqQqNGIOCaIIDPilpiQYVNQZFHQII4IzNLdM93VVe8fRTU9vVb3VHX3\n",
"dH0/53iOTFdXPc/zq6rup6vq95s/vwTPPedK2h89rbzXq6BrV20Cm3qs/Wht1dYbvZzRMYstoRAb\n",
"E610Q6IyAiJqayWEw1rZi27dtBITd9zhRX19E9askXD11UH4fEIkScbYsSEEg9pEp7bWGWl/czOw\n",
"fbt0rKQEIuutrNRKVyxd6sZ//meoXar988+X0dwsREpWpOuntk8io9T62aeiT7/f63UWA4H2pSgc\n",
"DiQsX5CudMbChX7MmRN/7EQvEx1XvZ+ZZQM0ozRB6nVcc00r7r03YKC/xuK5YEEA69c7UFUlZ1RC\n",
"IFdlCPTtqKpg4FjveNkHZn+0F8bbPgol2ycnf0WOkz97iP7wEATBcHryRKULEi2rp/DfsEGKpP+P\n",
"zWJptJTCnj1HEQ5rX6hHjEi97EcfNcLrVeH3Cxg2rCxSRy86vf6GDdqXxv/3/3x44w0nLrwwhDfe\n",
"kKAoIk44IYyRI8NYvVrC6NFhDB2aens7dmglEE47rTvGjJFT9kcUVTzxRIuh0gqffNIIj0fFoEHt\n",
"x9l4+YnGuPIB0TFJlGpeFEWEw26Ew8Djj2slMfQSE3rf/vd/S/DAAz787/92wfDh4ciYRj9LKEkq\n",
"tm1rxLPPal94BUGFqgoQBK2m3bZtDjz4oA8339w1UpZCT7V//fWtuPHGLlBVwVA/d+48CklC2hIU\n",
"yfqbybOtRo6RrVsbsWyZC6eeqqB/fxVffSVi1Son3nnHgZ07m+D1ypEva0aOo2THTuw2Y+Oqqqqh\n",
"L4dmlCYwso5x44J47DG/gZIiRuPZiNLSUKTMR6ZyUYYgl2UfOBmwF8bbPgpl8sfbPomKTCbpyROV\n",
"Lki0bHT6+tpaLf3/2rXtlzNaSmHfPhGCAGzdKhnYroTRo2W8/fbxZROl11+71oW//CWEfftE/OUv\n",
"2jYWLfJi1qwAvvpKxN69DoRCosESCApkWUjbH0UR0L8/sH59+n6sX6/1I3Y54+Un4ssHtI9JfKp5\n",
"URQjJQvuu8/brsSEvt0RI8LYsMF1rCRF8u3X1Wnb1ctfxHrrrVC7shR6O086ScGZZ2qlIoz0s7bW\n",
"aagERaL+ZvKl3+gxol1hFvDrX3eNe33t2uMlJIyWL9BLZ6Qa60RxNfoDnhmlCYysY8SIsKH93ng8\n",
"tVIY2U6YclGGgGUfiKhY8OlkIiIiIiIiG+Dkj6jIRKcnTyY6DbqRZceODWHzZilSJmDbNkfccps2\n",
"SRgzJv26Tj5ZwYknKhg71sh2tefJxoyRDbVx2zZHpK2AnmZfxtatDkNtGztWxoknhiFJqqH+/O1v\n",
"DlRXp29bdbWM0lI1bjmjYxbdp9i/JUtpryhatkl9nKO3pf+/0XGprGy//XTti/270X5WVYVQXq4Y\n",
"3nezlel+n64NRtdXXZ342Em0zWz6memxn+06tm41tt/nKp65YMbYEhEVAk7+iIqMkTToV17ZBq9X\n",
"+xJTWqrizjsDEMXEX2qiU/hfcUUQLpdWfiGaKKoQRRUlJcDy5T5UV4cSru+KK4IQBKCxEYZKDagq\n",
"8O23QGtr6hT7V17ZBlEErrmmDR7P8fb066fA7U5cLiLR9vx+QJa1PowcKcPh0NadzMGDAjweYynn\n",
"9f+Plqh8gCiqqK4OYdasAGbNCuDOOwNoa0O7Egp6TDZscODOOwPo0kWNq1Wn1WE8XtJB2xZw550B\n",
"jBwpo6QEGDMmhFAofRwEAQlLOES3JfZ1PSYjR8qGxlIfJ5dLxfLlLXjyyRY8+aQPs2f7MXNmAL/9\n",
"rT8yHrEp/EVRhCRJ7Wrnxf4t+t9AfCkHo/2Kbmv05M/I+jye+GMn2TazKVWQaQmERONmZB2ZlBTR\n",
"M2EaaU8hy1V5CcqNRPs+kV045s+fPz/fjSDr+Hw+PkBsA4IgoLS0FC0tWhp6UVRwwQUqvv5axI4d\n",
"jnbJO+68M4AZM1oRCAh44w0Pdu504OKLQ7jxxjbs3Kk9H6cvq2f3vOmmEvzoR2EsXOjH0qUezJ3b\n",
"ikOHtHWPHStj5coWTJig1YOTZeDXv27D1KlB7N7twGefOSLrWrTIjyVL3FixwosrrgiiujqEb76J\n",
"b+NVV2mlHjweYNo0LfX9jTe2pexPKCRg1y4Hdu0S8V//1YabbmrDJZeEUFvrxNSpbXj5ZRduvfV4\n",
"u2O3t3ixH4IgQFEE7N4toqxMxaBBCsaPD6FXLxXvvCPFvefuuwP46CMHrrkmmLBtep9dLiAUAi66\n",
"KNRuOVUVsHeviEcf9eObb0T066fg5Zd9mDAhiCNHBPTsqeInP9HqoH3yiYQvvhAjMfn97134/e/9\n",
"GDYsjDfecGLnTicGDhTgdEoQRQWqqkIUFXTp4sD554fQvbuK730vjOHDwzh8WOvjJZfIcLuBCRNC\n",
"aGhI3v6SEuDgwcSvL1zox//8Twn27JHiYtLWJuDbb7WxHDxYwYQJycdSK4kBBIMCTjhBu0K8f7+I\n",
"Hj1UTJoUwllnheFyaVdnnU6tb4IgQFXd8PulY/uyE6ecIkAUne3+NnCgCIfDgY0bXaivd2HgQAEe\n",
"D3DBBXLKuL30kgtvv+1M0tZgu3NrqmNOf4/DEcL55ytJl4k+1qK3EXt8p2KkHaIYihu36H1HEMJp\n",
"1hGAKAZxwQXJ+6K3P/264seyUBkZWzP6kkm8KTOiKKbc9/OxHzLe9iEIArp2jX+GPOftYLbP4sZs\n",
"n/aQKFtYojTo48aF4HYjZU26f/zDga+/FtuVTBg6VLuC9o9/OPDVV45IiQVZBjweYNasxOu7/35t\n",
"fUOHar+aOxwqfD6tPf36KRg1KgxFAfz+46n0Kyu1dO/hMPCvf0kYMUJGaalWO66xUYCiIJKA5MIL\n",
"g+jaNXV/VBUIBoFwWIhkqpRlREpDVFWFUFKifcFOtZ62Ni3JB4Bjt6FqV+kkCXA6VciygEBAS+oB\n",
"ANXVMrxe7cqHqgp4+mk3fvWrNjQ1te9DZaWWmt7rBQQheV/uv98f6ceXXwo47TQlTb+P11hbt86J\n",
"Cy4IpVze79eusEa3SxSBHj1UqGoQ4bATra0i1q3TSjyMHSsf28+0dr/zjmR4H4seSz01vyQJ+P3v\n",
"3bjmmrakddTa18HTJoszZsTXYEz1/ilTukIUVSxb5sOyZbHlQ6Jv0Q1BlqWMyggYKT3gcDgQDrsQ\n",
"CGiJTgRB2+dFEfjwQxFDh4bjtpFpNsBU7XA4QgBchvaddH0xWmohVyUZciEXfWH2R2vo9SvT7fu5\n",
"3h8Zb/solGyfnPwVOU7+7CHVh0f07YCyLBmoAeaH0ylDELQPRlUV8cwzLtTWunDmmcfLAbzzjojN\n",
"m5uxcGHq2nkLF/qPfZHWJwvt07IDgMPhOLY9EZs3O9pl8/zlL9vgcGg1AZ97zhUjjtQAACAASURB\n",
"VBUpJSAIKn75y6CB7fsgisGobeBYv1SoqnosU6DL0Li4XO2PJVVV26Wn128h0q5IqZBlGYriwpw5\n",
"JbjlljY8+KCnXR+ix3LPnibcdlv6OnHaWDoN11iL3na6WoKzZnnbxbiuToqqNwesWOHB4cNCu9cB\n",
"bfIyZUobzj8/CFk2VqdPkrT+6+OfSTv1Onhz5wYwZEgZFEXIqGYioOLBB7X9RhTVuHiccEIY997r\n",
"B9CaVRkBI++Jvt1M3xeTLZ/tl8PE7cisDqCRvhgdo1yUZMgVK/vCyYBVzKiBaT7G2z44+aOc4OTP\n",
"Hox8eGRTpyrVe4zWqDNa9yrRtqqrQ3jiiRYEg/E1Ac3avpX1u/R1T5vWBQ884E/a1pkzA7jhhjZ8\n",
"97vp6wV26xZCU5NkqL2SBNxwQxcsXerHsGGZ1RJMtK509dr27DmKUAhZ7WPpxii2nRs2SNi2rRHT\n",
"p2ttNro/fPRRIxwOFd/9rvX12sxi1pfDXNaqo+xxMmC+Qt73GW/7KJTJH59yJbKJTOpURSfNSPYe\n",
"ozXqoteXafsqKmT8+98OvPVW/HbM2n4242KUvm6tnl7ybZx7rozaWmP1AjNp7/794rFtG6mp6Ixc\n",
"/Uq2rnTr2L8/+30s3RjFtlOvP6i32XjNRAn//rfDkngXOiv3daJCxn2f6Dju4URERERERDbAyR+R\n",
"TWRTpyrVezKp3RZ7C02yFPOVlSG4XEqk1MHgwQoGDQpj7NggPJ4wZs4MoKamGTU1zRg8OGyoVmBV\n",
"lfb8YrKU3pmMS6r1pOpTunp6770noarKWL3ATNp7yikK/uM/wpgwIYRx44JJy3mkr2knG6rXVl5u\n",
"tG1aTLTkGcbGKLadsfUHjddMPF7LMXUbO0+9NlEU4XQ64XK54HK54HQ6E+6nnaFWXboU/EzRT9no\n",
"DPs+Ua7wzElkE9nUqUr1nkQ16tKtT/uy5oHP50ZNTQlqakrg87kBeAAAXbqo2LatCUuX+lBerkCW\n",
"VYRCAnr1AnbvbsINN7Thq68EfPWVltmxrMxYf5qbJXzwgSeyrdh6eMbGBXj1VU+7Nh9P+pC8T15v\n",
"+jqDS5a4DdUL9HhUhEKhtO1dsCAAj0fL3hkOA2vWOLF0qR/19U2oqgolXHe6mnaynL4eoMOhGhpL\n",
"QBtLn88NRXGhSxfjtRij6+BF1x80uj/6/QJaWozst0lfLhja/udBOOzG0aNOrFrlwapVHhw54kRL\n",
"iwvBYPv9vZBr1aU6jtIdZ5wEUjqFvO8T5Vriqr1EVJQcjhAWLfIDQNJU10AI0TmCRDGIRYuEuPeI\n",
"IvD6686061PVIBTleJrt2bOTpdkWIAjA3Xd7270+Y4YfM2a0Yc6c+PctWBBIuf177vHjV7/SSgO0\n",
"LxMgQBSPP9RvZFwWL3Zj8eKSdn9fvFiAqiJlnxyOIO6/P4Cnn3bjnnuSbUMrj5A+NkGEw1p7Fy9O\n",
"vOyCBQFMndqWNJ35smUtmDKlK2prne3W/fTTboiiVlIjevmFC/2YMqULFEXAsmUtaWMNIOH+Eltu\n",
"IXb7ixYF8Pvfpxqj46UeousCXnVVMLLsjBklKdsYW+oh1XLLl7sxdSra7SeFRJsQuSHLSHhs6P1Y\n",
"tsyDqVOP7+/JjudEx2wu+5Lq3GDkOCvUOFHhKMR9nygfmO2zyDHbpz0YzxbmwbJlnpjaZsDYsSEE\n",
"gwJef92JKVNaEZvqWhQ9aGwUEQ4j7j1//KML11/fBqcTqK09Xjsvvu5V+jTb0an7AUCSFOzd24i5\n",
"c5OXNbj7bj+mTGlDa6twrAadEGnbjBklkVpcsWUC2qf0Tj8u48eHMHJkt0jbRFHFjh2NuPtuY6Um\n",
"FMWNtjZAVbWrcRs2SFBVYPRoGYGAto2pU9sQDiNhvUCHIxg5lgVBQO/evfHNN80J6o0hbRmIBQsC\n",
"ePNNB8aODaOkRKtFGA4jZl0yQiFg2rQu7da/eLEfLpdWqN3hMF7X7bzztH5GxyR2nAAt6UI43L4W\n",
"Y7I6eEB8Lbrq6hCcTsDnE7B+vROiqOKCC2S43Sr+9S8HvvlGjNR2VBQBzc1CJMNp7H6Tr9TvsRIf\n",
"3x40N4tp979bb23FkiXuSOkKoBDr7iU/N2RynOU7TmZh9kfrFN6+z3jbSaFk++Tkr8hx8mcPmZZ6\n",
"UBTE1TbTi6zHprrW3zdkSBnOOy8c9x5FEeByKdi1qxFerxxVO09JuO1UabajU/cDmZRAOIqSEuCh\n",
"hzxQlPZti14uukyA3k8AhsYlthRCdXUIDz3kiytBEdu2nTuPomvXEJqbnZg2rQtGjJAxeLACVRXw\n",
"2WciNm2KH/vYGmJ6jcRE8dafndM1NzsNpDNvRFlZOKoW4fFYOxwOKIqE1lbgtNPKEAy2v6VOr4s3\n",
"cqSMm25qhcslIxSKv5U0en3BoISpU7vgzTed7WISO056PPRaiQDi9udENdVit1NbK2HMmOP76tat\n",
"DqgqUFERxvTprZAk7bkevcTE8OHtaxse//GhMMoexB7foigiGHSjpSW+BEo0fZ+/9dYSPP64L64f\n",
"hVB3L925IZPjLN9xMgsnA9YrhH1fx3jbR6FM/njbJ5FNxKa6Xr/eGVfTTVGA2lonJk4MtZsQ1NU5\n",
"EQyKWL9ejHsPAASDItau1d4XO1FJtO1EolP369swXgLBiTFjZNx3nzflcnqZgPXrnZF+AjA0LtHv\n",
"BbTSAolKUMRus7bWiUsvDaOuzom1a11Yu9aVcNnosU80hslEf3GRJMlgOnMJEycG47aj1907elTA\n",
"hg1S3MRPW0aIjNEpp4Tx858n/3FJX9/rrzuT9vt4m473PdMvYom2k2hfffNN4NRTw5g4MRTZJ7WY\n",
"pG9XIU0qRFHE/v0itm41VsJj+PBwwn7k+0svkP7ckMlxVmhxosJVCPs+Ub7wKWkiIiIiIiIb4JU/\n",
"IpuITnWd6vap2FTX2b4v1vjxIcyZ44csCxBFQFURueVRUYRI6v7p07tE3vPeexJuuKENkqRGbsms\n",
"qNCuVkXfLlldLcPjUdO2cezYEG6+uUtce4307/h7FdxySxsuvjiE73wnjC++EPDAAx4oitCufZs3\n",
"OyBJKiZM0K4ujhunlbGIvpqm30JZUaE90zZuXOKyGLG3Qer/xTIrVj16qLj4Yq08RKpbNfXSE6mY\n",
"1aZ0FEXBuHEhzJ4dgKK037eSbScX7Uomk9vORFFEIBA4dkuutmx5uYKePY3tt7feWoJf/7o14Tby\n",
"dftb9H49blwIF13UhmHDtG1Hx27TJgm//KUvb3EiIio2vPJHZBPZprruSIpsPT17c7MT9fUOXHdd\n",
"EDfc0IbBg8MYNCiMpUt9kfIDsan7Aa0EgtutZbCsrz9eAqK8XIm8VytroEIQ0rcxukyA3l6tf+nL\n",
"GLS1CRgxIoS9extxww1t2LFDRE2NE9dfH8RnnzVi166jkfadfbaMZ57x4ZFHAli9WkvBHwoJ2Lbt\n",
"eKmFqqpQuz6dfHIYoZAARXG1S22vPdvlwpEjTrz6qhc1NSVoaXHh66+bEtZx63isXKipceL119OX\n",
"h/B41LS3qOYixbqexCEUEnDyyeF2+0d02+PjnvvU75mULNCXbWlx4Y9/VCLLKooLLpcKh8PYftuv\n",
"nxLXj3yVTojd7t//7obDATzySACDBsXHrq5OMtRPpugnIjKGV/6IbCTbVNfZvC86ffvBgwKeecaH\n",
"225LnKp9xYoWSMfORtGp+2VZxF//6kxZukBL+a/96p+uxEB0mQC9vQ6HA4IALFyYvMTAwoV+1NQ4\n",
"MXNm6nY88YQLmzc7sWxZS8q+Llnixs03tyVdRi978cwzblxzTRvmz/cmWU6JS3Hf0VhlUh5CLz1h\n",
"1X5nhJG2Hy/x0X47uU79bqTcyfGSDOmW9aNnTzXlfnvPPX6sWOHG/fcHYvptvB1mit3u6NEyli1r\n",
"SVqqYtmyFqxY4UaPHqrhkjJERJQas30WOWb7tIdMsoVlm+o68/dp6dufe86F+vomPPigx2BJhOht\n",
"qBg/XsacOalLF+hp3hO1MVmZgOPt9WL27BIcOCBGyhhEl3pwu4GSEjVSZyxVO+65x49DhwQ8+GC6\n",
"tPR+zJnjxYoVnqTLzJ3rRyAgGhq3+NIc2cUq1Xbmzw9g/XoHqqrCkVtsw2HjqfWtS7Gevu333uuH\n",
"ICTeTm5Tv6dv6/F4GltWFIFwWEAgIOCtt7RfUMaMkSFJgMOhxSm+H5m0w0zHtyuKqsHzgh+iqGWB\n",
"LbQU/VZh9kd7Ybzto1CyfXLyV+Q4+bOHbD48sn3Wx8j7otO3jxkjY+lSH84803iqdj11vyxLaGwU\n",
"MGxYZmneo9sYLba9kiShudmFM84oO/YsohpX6uGddxzYvbsRwaAQWS5ZO/bsOYpAQMDQoelKUzRi\n",
"2rSSpBkw9fIVoVDmfY+WaaxSbefjjxvRrZuKVask/OY3Jdi+vSmr1PpmPmNmtO1GygBY/exbJm3V\n",
"S4MY7RegX8Fu/1xosrIYZo1ZJmK3W10dyvi8oK+nUFL0W4WTAXthvO2jUCZ/fOaPyKb0+nGZptY3\n",
"8r7o9O0VFTI2bDCWqj36S52qqtizR0RtbWbvjW1j9H+JvgivX388Xb5exmDRIi8WLfJi/XqtxIVW\n",
"MDx9Wv19+0S8/baR0hRSpLZcsmW+/NKBDRvSryu279EyjVWq7axd68THHzuwZ4+E1lZHyu2mku1+\n",
"l4jRthtpq5ntSiTTtmayrKIoCIVCCAaDCAaDCIWSl8wwc8wyEbvdbM4LgPVxIiIqdpz8ERERERER\n",
"2QAnf0Rkuuj0/ps2SRgzRvv/ZJKVmCgvVzB2bObvzaSd1dVy2vV36aIaWu7kkxWMHp1+uepqGdu2\n",
"OVIuM3Bg+NizW9b0XRcdq1TbqawMYeDAMDZvlgomtb7RtnfGtlrVr3yNWex2sz0vEBFRx3Dyl2MN\n",
"DQ1Yv349ampqsHHjxrRp0ok6o+g0+nV1EkIhIasSE5JkLJ290TTvoihCkiRIkgRRFCHLsqF0/4cO\n",
"AR6PiiuvbEN1dQizZgUwa1YA1dUhiKIaWU4QgEAgfXtdLhX9+iVv7xVXBBEKAa2tycdNFFXceWcA\n",
"XbqoSZ9xTNbvaEZLHggC0NQUXyoj3TZSbbuj8lWuwQi9306nE06nduui0bYa3S+z6ZcVY2YkxrHb\n",
"zfa8QNYw6zi18ngnInM45s+fPz/fjehsgsEg1qxZg8WLF+OPf/wjvvnmG4waNSrle2RZxrJly/DI\n",
"I49g06ZN+PDDD/G3v/0NdXV1OOmkkyx7ANTn8/EBYhsQBAGlpaVoaWnJd1MiRFHBBReoOHhQxKpV\n",
"Tjz8sB+HDonYscMBvfC2JKmR0guCEIzbV0VRQUmJA5WVIXzzTWbvbb8eEarqht8v4Y03PNi504mB\n",
"AwU4nRIkScb55yv4+uvE67/nHj+mTeuKE08M45e/DKKqKoTDhwWUlQG//nUrrrsuiPJyBb/9bSuW\n",
"LHFjxQoPHnnEl7Sv99zjx0MPeTB3bmvK8SgpAV580YVbb41f7vzzg1i9ugXDhoXxxhvOdv0RRSUy\n",
"Fqn6rS+npd934IIL5KRjsHChHx4PMG1aF/zoR+F2Y55sG263BFWVUm7bzP0sWduN7B9m0scjFJLQ\n",
"2irB73dg7Vo3du50YvBgBRddFErZVlEMQVXdkGUBF14YQkOD+f0ya8yM7F/Jtrt9uwOffupIeazk\n",
"OnaFIpfn80xjaPV67KgQP7/JGoIgoGvXrvluBrN9Zqqurg4vvPACmpqaIn8bPXo0/vu//zvpexRF\n",
"wYMPPoiNGzdi0KBBuPjii1FWVoYdO3Zg9erVkGUZM2fOREVFhentZbZPeyjUbGHRafQ/+siBYcMU\n",
"KMrxQu5GS0wALoTDAvx+7cqTKAJVVTI8HiVtmne9tli6OoGy7EQgoCVjAYDzz5ePFTEHtmxx4P/8\n",
"nzBmzUq1Du3KWG2thAEDFIwcGUZbm/bv430FZBlYu9aJfv2SLaONB6CltpdlAeGwAFkGNmyQ0K+f\n",
"grPPDqfsj6pqGSDT9RsIAnBh5kytFuP99weOlbrQCmtfcIF87MoLsHmzI65URrKxPf/8IJYt86Ws\n",
"Uaeq5maSLIQyAPp4PP20Vp8xto7j+ecHsWKFD42NwrHjQC9HEoIoAj16aMfujBnH6+AtXuyH263i\n",
"7be1mJjVr46OmZHjKlGMY7eb7jiw41W/XJ3Ps42hVeuxq0L9/CbzFUq2T07+MjR//nx8/PHHGD58\n",
"OHr37o26urq0k7833ngDzz77LAYNGoQ777wTLtfx9O7btm3D3Xffja5du2Lp0qUoLS01tb2c/NlD\n",
"oX94GC29kG4dejp7VVURDocNvtd4TbPoW5X0rILal1V32hp/c+cGUFamQpLCkfbp7Y7ua2yq+kTL\n",
"xPZb+3KlfaEKhaS0bdH6g5T9vuaaVtx7b6DdumJLXfTsqeKaa9ogSaEk7YsfW+P128yvI5f/MgAe\n",
"zJlTgltuaYvrf/S4PPecK66kSF2dhKuuCmLu3ACGDCmLXAWLjsmIEWFUVQWhKOaNW/Zj1rFagZke\n",
"B3aSu/O5WfUe81U3sjgU+uc3mYeTv05q3bp1GDJkCAYOHIgNGzbgiSeeSDn5k2UZ//Vf/4WWlhbc\n",
"cccdGDp0aNwyDz/8MN5//31MnDgRV155pant5eTPHvjhkZgZNc2MrmPbtkZ06aLC5bLuF+5M+iNJ\n",
"wKmnJl9u3LggHnvMn7Z2YbKxSdaWbOu3dXb6eEyb1gUPPOCP67/Rcdm2rRHTp3fB+vXOhK8Xwrjl\n",
"q1agXeTifG5WDLkvdBw/v+2jUCZ/fBo3QxdccAEGDhxoePktW7agpaUFffr0STjxA4DKykoAwPvv\n",
"v29KG4lIY0ZNM6PrqKtzYv/+1IlXOiqT/uzfL6ZcbsSIsKHahcnGJllbsq3f1tnp4zFiRDhh/42O\n",
"S12dM3JFMNHrhTBu+aoVSOYxK4bcF4g6Hx6JFvvkk08AAMOGDUu6zBlnnAGn04lDhw7h0KFDuWoa\n",
"ERERERHZCCd/Fvviiy8AACeffHLSZSRJwoABAwAAX375ZU7aRZQL+U77bUZNs0zq4JWXt39Wyez+\n",
"Z9Kf8nKl3XKiqLYrUyEIxmoXJhubZG3JR/22TMbZqpIU+nhs3epI2H+j41JZGcLmzVLS1xONW2zb\n",
"rT7ujOyHLpeCceNCEASBaf8LkFn1HjtTrU0i0vBsbLGjR48CAHr37p1yuT59+gAAGhsbLW8TkdW0\n",
"L3oe+Hxu1NSUoKamBD6fG4Anp18CzahplkkdPIdDjSR1saL/mfRHz7QHaNkT6+ubsHSpD+XlCsrL\n",
"FUyZ0tahsUnWllzWb8tknJMtK4oew+tIRR+Pfv2UhP03Oi6CcDwbbqLX3VE5NWL79MEHHoTDbvh8\n",
"HkuPu3T7YVVVCNu2NSEUEvDqq968Hf+UnFn1Hgu51iYRJZb4E4ZM09qqZbfyeDwpl9NfDwQClreJ\n",
"yEp62u/kaf4FiGLuHvwXRW2bAFKkIQ8iVXMcjtCx0giJ17FwoR+SBChKEIC1/TfaHwBYtEjAGWeE\n",
"E5YdkKQSLFgQSNmvdGOTqC2KImDWLC+WLfNlvV5j42B8nJMtm74kRWaxEsUg7r9fwNNPu3HPPe3H\n",
"1ei4CAJw1VXBhK/fc48fy5e7MXUq4HBoZTr0to8eLWPZshbMmZOb4y7Zfmj2mJJ1zDg3mrkeIsoN\n",
"ZvvsACPZPm+++WYcPHgQt99+e8rn/h566CH87W9/w7XXXotx48aZ1kZm+7SHwsoWVnhpvzteB86D\n",
"Zcs8+OlPtSsvdXUSFAWorJTh9aoIhQCvVz2Wgt/6/jscDqiqB36/krI/RspU3H23H1OmtKG1FVnX\n",
"e0s0tiUlWn1A62rvZTLOuStJoY9HbH1GwNi4AICiuNHcLEQyfo4dG0IwKGDGjBLU1jqPtcuPOXO8\n",
"WLHCk7fyGvGxVzF+vIw5c4yUImHa/2RyeT43q0ZmodTa7IwK6/ObrFQo2T45+esAI5O/2bNn47PP\n",
"PsOMGTMwatSopOu67777sGnTJkybNg3nnXeeaW3k5M8eCuXDo9DTfmdT0yy6T4qipey/9NIQBgxQ\n",
"cPCggJUrXXj7bQkff9yIrl1DaG52Wt5/QRDQv39/NDQ0ROr/JasRaDQeXbuGIn/Lps5asrG1ovZe\n",
"pv1KFBOrS1LE1mdUVdXQuESXjBg+XDt363UA9dp/kqTik08aMW1aCdaudeW9vEZ0X5uapII9/juL\n",
"fJzPzTpO819rs/MplM9vsl6hTP5426fFunfvDgBps3jqr5eVlRlabygUQigUSviaIAjwer2R/9e/\n",
"fFDx0mOc71hnkvZ74sRQzj/ooouvA8bGK7ZP69a5sG6dK2652lonLr00nJP+68e1PqGI/nuqtqdr\n",
"T6ZjEy3Z2GYz5ulk0q9kMcmkJEU2sYrtty7duOh9W7vWhbVrk7dr/XoJw4eHsXat9X1JR++Lw+Eo\n",
"6OO/s8jH+dys49SK473YFcrnN1kvOsaBQCDlOdDpdMLpjK/3agZO/ixWXl6OzZs34/PPP0+6TCgU\n",
"woEDByLLG7Fq1Sq8/PLLCV/r2bMnnnzySQBA3759M2swdWr5/kVJe2bVyC+9AkpLSyM/UhSyTPrk\n",
"drsBGPkAN6f/6eJdjPEArIpJ8nXkcmyM9y0b1valWPe3fMn3+Zxyi/G2l1tuuQWHDx9O+vpll12G\n",
"yy+/3JJtc/JnsSFDhqCmpgYffvghVFVN+MvO9u3bIcsy+vXrhx49ehha76WXXoqLL7444WvR22ho\n",
"aOBtnzag3wZ48ODBvN/2WVnpgiSVpLztq6oqiKamYCQbbi7bF3sbXrrlHQ4HKislSJKatk+BQAiV\n",
"lU7L+2803qniIYoqKitlnHWWjAkTgmhuDuU8HtnKZD8LBEIYN86J2bNFKIpWcqGuTsKmTRKuucZn\n",
"KK653FeN9q26WsaqVdoV6I72Jd1xker16NcA5GT/7+zSjXehnM8pNxhv+xBFEf369QMALFmyJO2V\n",
"P6tw8mex4cOHo1u3bvj2229RX1+Ps846K26ZdevWAQDOOeccw+s1ejlYVVWeTGwk3/EOh8ORtN/J\n",
"Ej7oab9z+aOEnoygpUVAXZ123FRWhuD1Jk5GoD2zoiXtaGwEJAmG+iTLMrxeKWf9TxfvZPGoqgph\n",
"8WI/nE4V774rYfVqJyorAa9X6hTJGYzuZx6PClnWSiycfHIY4bCAa67xIRTSMm/qpRcKaV/NpG/9\n",
"+mlxii4jkUlf0h0XAJK+7nCEEA47E7wGLFgQwNy5JYbbYReZnofyfT6n3GK8i190fPN55wMnfxYT\n",
"RRGTJk3C008/jeeffx5Dhw5tV/Zh48aNqK+vR9euXZNeySPqTAot7XempSe0hAVuyDIiafP1NPpG\n",
"+lR4/W/fHr0v8aUfOlcqfiPjLAhahsxErz/zjA8PPeTGwoXZl7rIZ9+AIO6/H1BVAS+84MKMGSWG\n",
"91FtG+mPC0EAZs2Kf33BggCmThVSvFcb03nzvAUzpvlWaCVwiMi+mO2zA4xk+wS0mf4DDzyAjRs3\n",
"ory8HD/5yU/QrVs37NixA6tXr4aqqpgxYwYqKipMbyOzfdpDoWULK6y035mWXvCguVnE3Xd7E14t\n",
"c7lUvPOOBIcjeZ+s7n+m8Y5uDyBg/nxvUaTiTz3OwKxZqeN+771+OBxWl6TITnzfBFRVBdu1K3aZ\n",
"fv0UjBwZRlubgNra4+UlEvcl/XExd24AQ4aURbKMau0yWlbCn3X5kOJk/DxUaOdzshbjbR+Fku2T\n",
"k78OMDr5AwBZlrFixQqsjUnf1r17d9x4440488wzLWkjJ3/2UKgfHvlO+51p6QkACAbdaGkRMGJE\n",
"fNp8/Tm5kSNlTJ/eCkkKQZbllNu3ov/ZxluSJDQ3u3DGGfkpCWCV2HEGkHHJkXzvq8no7SotLUVT\n",
"U1PC83mi/qfqi9HjYtu2Rkyf3iVSbxDIrERGR8uHFItMz0Oqqhbk+ZysUaif32S+Qpn88bbPDhgz\n",
"ZgzGjBljaFlJknDttdfiJz/5CbZu3Qq/34/+/fujoqICksQwUHHK9xe+TEsdAMD+/SK2bpUSvkdR\n",
"tMLb69c7ceqp4ch7ksl3/xOpq0vcN130eBRa25OJHWdJkjKKu/7+QuyvoihQVRVerzdpgpREbU/V\n",
"F6PHRV2dE9//vtxu8pdpWYlUP47YRUdKrhARmY2zjhzr06cPqqur890MIiIiIiKyGU7+iKhoKYqC\n",
"ysqQgRT4x69ylZcr6Nnz+Huib/U85RQFgIp9+0SMG9d5roxFq6yUMxoPI6y4ZTJ6ndH09afaZjZx\n",
"T7X9jvSpEG8nNTo+lZUhTJ/epd3fjZeVMO/4KMQxzIQZ+yMRkVniP1mJiIqEoiiRtPnJ6Knn9S+V\n",
"kqTC4dD+XlUVQn19Ex55xIfBg8MQRRVjx8q47rrjafATTVAKjdZGD5qbnRAEGB4Po+v1+dyoqSlB\n",
"TU0JfD43AE/W45Jonc3NLrS0uPDBBx4Eg24A3pTbzDTuVvTJirExi9HxEQTtNuFo0WUlUr3X6D6U\n",
"SiGPYSY6sj8SEZmNV/6IqKhlWnpBFIPo0cON++/3Q1GQNDX7Pff4sWyZB1OnFnaK9tgU85mUrchk\n",
"vWakrk+3zoUL/RAE4Le/Tb/NbEpumNWnzpDW31ipDOCqq4LtXhdF4PXXnZFyDlaVyOgMY5iJQisB\n",
"Q0T2xWyfRY7ZPu2B2cJSy7T0gra89sUzVWr2W29txZIlbtx7rx+5LI2QWbzjU8xnUrYik/VGy65k\n",
"RHblB5JtM/OSG2b1ydyxser4Tjc+AJK+rhd5t65EhhX7V34Z3R95PrcXxts+CiXbJyd/RY6TP3vg\n",
"h4cxRp8dMpqafevWRtx6awkef9yX09IIRuOdqh+Zlq0wul5dpiUjOlJ+IN02jcTdrD5ZMTZWH9/p\n",
"xifV61Y972n2GBaSdGPG87m9MN72USiTv85z0zwRUQcpigJZliHLsimp8N96y4nhw8OorXUW5DNI\n",
"qfqhl6247z4vVq+On0hlu16dnrre6LhkWn4gk20aibtZfbJibKyWbnxS2sdrRgAAIABJREFUvW70\n",
"mMpEZxzDTFgxZkRERnW+syYRERERERFljJM/IqIY0anZk5EkFWPHhrBtm6NgU7Qb7Uem7bdivUbX\n",
"WVkZwubNiXOVdSRdvll9smrM7YRjSERkHU7+iMi2RFGEJEmQJCnyHI7+/126qLjyyrak773iiiDa\n",
"2gT066dknKI9drtWsSrFvBXr7Uj5gWy3mc32063fqjFXVTVn+02+sTQCEZF1HPPnz5+f70aQdXw+\n",
"Hx8gtgFBEFBaWoqWlpZ8N6VTEEURquqG3y/hjTc8OHrUgf79RQQCTrzxhhs7dzoxcKCCCy+U0auX\n",
"lhFTzy4pSSquukor9bBypQu//W0rBCFo6DiL3a62HQFOpwRRVAwfq5nEWxQVXHCBiq+/FrFjhyOu\n",
"H1pKf2Ptj+6DLAu48MIQGhrMWa+Rti5c6IfHA9P6kun2ja7f7DF3OBxoaQnD5xM7tN90JmaPYWfC\n",
"87m9MN72IQgCunbtmu9mMNtnsWO2T3tgtjDj9PphM2e2r3t3223J6on50dYGrF2rJUUZM0aGJAEO\n",
"hwpJMp7WPna7iet8WZP9MfOSB8b6MHq0jMWL/XC7Vbz9drYlI9K3tbJShigCH34o4swzwxBFwOcT\n",
"Ihk/KytDEEWgRw8VitKx7I9mjpUVY96R/aazMWsMOxuez+2F8baPQsn2yclfkePkzx744ZGJ4/XD\n",
"RFFFfX0THnzQk7aemCTJEATti7eqqlmktTevblm28e54Wv74PuglI77/fRkjRoRRVRWEonS89lp0\n",
"W4+T8MwzHtxxhwdjxoQjWT83b5ZQVycduzpoTu03s0oYWDHm0TpjvbtMWVFOopDxfG4vjLd9cPJH\n",
"OcHJnz3ww8OY2Pph1dUhLF3qw5lnlllaT8zsumX5iHe+a6/le/v5YMc+E8/ndsN420ehTP6K94lx\n",
"IqIYsfXDKipkbNhgfT2xYqhblu8+5Hv7+WDHPhMRkbX4aUFERERERGQDnPwRkW3E1g/btEnCmDEd\n",
"qydmJP1+odQt60ipgHz3Id/bzwc79jmWXcpbEBHlCs+kRGQbsfXD6uokhEJCVvXEtC+iHvh8btTU\n",
"lKCmpgQ+nxuAJ+5Lar7rlmXS1mTy3Yd8bz8f7NhnnRn7LBERxUtcKZeIqEiJYhCLFmnPUL3wggsz\n",
"ZpRg2bKWyL8Tp9IPIvq7tZ5+f/bsZOn3BYhi+wQcsds1sh1z+pt5W5OvKz99KJTt54M9+2zePktE\n",
"RO0x22eRY7ZPe2C2sMzE1g/r10/ByJFhtLUJqK3VfhNLXU8su/T7ZtUtyyze5pYKyHfttXxvPx8c\n",
"DgdU1QO/X7FJn+1d3oLnc3thvO2jULJ9cvJX5Dj5swd+eGQntn6Y/jf934m+VJuRfr+jdcuMxtvK\n",
"UgH5rr2W7+3nkiAI6N+/PxoaGiK1Jou1zyxvwfO53TDe9lEokz/eOE9EtqUoCmRZhizLkS/T0f9O\n",
"xIz0+0a2YwYrSwXkqg+Fuv1cEwTBFn1meQsiImvxzElERERERGQDTPhCRGSQlohCQGWlDElSU96W\n",
"Vgjp96NLBRR6W42y0+2edpRsnxVFFZWVMioqZIgiMG5c59lniYgKCa/8ERGlEZ12/tVXPRAEdIr0\n",
"+8VUKoCp/+0h0T5bVRVCfX0Tli71obxcwcknhxEKCVAUF2NPRJQhXvkjIkohUdr5qqpQxuUh8qUY\n",
"SgUw9b+9RO+zBw8KeOYZH267jbEnIjIDs30WOWb7tAdmC7NS4rTzVVUhLF7sh9er4p13jJSHME+m\n",
"8e785RGY+t9ux7e+z6qqgDlzSmwVezvG284Yb/solGyfnPwVOU7+7IEfHtZIl3ZeFFWcf34Izzzj\n",
"g9MpIxwO52QilW28O+Pzckz9b9/j266xt2u87Yrxto9CmfzxZnkioiTSpZ1XFAFr17qwerUTqlr4\n",
"z811xlIBTP1vX4w9EZH5eLYkIiIiIiKyAU7+iIiSiE47n0xnK5XQ2TAG9sXYExGZj5M/IipqoihC\n",
"kiRIkpTxrWGFUiqhI33o7AolBpR7jD0RkflY6oGIipKeLdDnE1BXp2W4rKwMwevNLMNlPkslpOpD\n",
"KBQyf4MFqhjKVVB2GHsiInMx22eRY7ZPe2C2sPb0unAzZyarDeaHqhrPDpiPUgnp+rB4sfal1y7H\n",
"d+cvV5E9ux/fdou93eNtN4y3fRRKtk9e+SOioqMoLsyeHV8bTJaFyN8WLlRhtDaY9uWyFSUlIiZO\n",
"DEX+pv1nZsujt2m0D/aY/OUjBlQYGHsiIvPY6+ERIip6oigiEBDwwguupMu88IJ2FSGbZwBzUSrB\n",
"yj50dp2xXAWZg7EnIuo4e31rIKKiVwy1wYqhD0RERFR4+K2BiIiIiIjIBvjMHxEVlejaYMmunBV6\n",
"bbBM+yCKYuQKoP4sVLGxQx+puOVjH+ZxQ0SxeOWPiIpKMdQGM9oHr1c9VgrCjZqaEtTUlMDncwPw\n",
"FM3toFo/PEXdRypu+diHedwQUTK88kdERacYaoOl68MDD/ihKEKKchYCRNF4OYtCpJe7mD27ePtI\n",
"xS0f+zCPGyJKhXX+ihzr/NkD6wTFK4baYKn7IGLWLG9cKQjd1Ve3YeFCH4yWsyhMHsye3aXI+5ge\n",
"j+/OLPN9uOPx5nHTmfD4to9CqfPHyV+R4+TPHvjhkVwxPPMS2wdBEODzuXH66WUpnwncufMoSko6\n",
"5y/8oijC53PjjDO6F20fjeLx3Tlluw93JN48bjofHt/2USiTP974TURFrRhqg8X2QRC0K4HFXAqC\n",
"5S6os8vHPszjhojS4ZFPRERERERkA0z4QkRkEatuOVVVrcxDZy5nkU6uSnYki1Ex3C6sK6a+dCb5\n",
"KDtTDKVuiMhavPJHRGQyq9OsK4qCkhKhU5ezSMfqkh2pY1QcKfKZ7j+/8lF2phhK3RCRtXjlj4jI\n",
"RLlKs96rVwkWLWoB0HnLWaRjVcmOdDFauNCPG2/sgjffdMVsr/OkyGe6/8KQj7IzxVDqhoisw2yf\n",
"RY7ZPu2B2cIKifVp1vV4a8e3s1OXs0jHmpId6WN0662tGDmyGxRFaPf3fKTIz+74Zrr/QpHpPmzG\n",
"+bwYSt3YBT+/7aNQsn1y8lfkOPmzB354FIZcpVmPjbcdnukyq49GY7R1ayNuvrkL1q93tvt7PlLk\n",
"Z3p8M91/YTK6D5t5PrfDuaGz4+e3fRTK5I83/RMRmSRfadaLoZxFOmb10WiM3nrLie9/X477e2dI\n",
"kc90/4UpH8epHc4NRJQZnvWJiIiIiIhsgJM/IiKTRKdZT4Zp1vPLaIzGjg1h82Yp7u+dIXbcD4mI\n",
"KBlO/vKgsbERGzZswKuvvoq//e1vaG3lA/dkD6IoQpIkSJJUlLebFWua9WKLW2mpiuXLfaiuDkEU\n",
"4ydIV1wRRFubgLo6Ke7vnSF2xbofEhFRx7HUQw6pqopXXnkFL7/8crsPXK/Xi2uvvRbnnXdeHltH\n",
"ZB0985zPJ6CuTkugUVkZgtdbfJnniinNejHFLVFfHnnEh9ZWATNmlKC21tmu1MOUKV0imT47Z+yK\n",
"Zz8kIiLzMNtnDi1btgxr1qxBv379MHHiRPTt2xd79uzBa6+9Bp/Ph+uvvx7V1dWmbpPZPu2hkLOF\n",
"6fXGZs5MVm/MD1UtroyDVqdZz0W8iylu6fpy//1+/POfDgwdGj4WI8DvL5wU+dnGm+n+O6dCPp+T\n",
"+Rhv+yiUbJ+88pcjmzZtwpo1a9CzZ0/cdddd6NatGwBg2LBhqKiowG233YZnn30WQ4YMwQknnJDn\n",
"1hKZR1FcmD27JK7emCwLkb8tXKiimOqNaV+qW1FSImLixFDkb9p/+W2bUcUUN2N98UeKnisKOnXs\n",
"dMWwHxIRkbk6/8MbncTzzz8PAJg0aVJk4qcrLy/HhAkTIMsyXnrppXw0j8gSoigiEBDwwguupMu8\n",
"8IJ2ZaIYniWL1VnTrBdT3Iz3pf3fOmvsEimmvhARUccU9qd2kdi/fz+++OILuN1unHvuuQmXqaqq\n",
"AgDU19czAQwVDdYb65yKKW7F1BciIqKO4iddDnz88ccAgNNOOw0uV+Jfn/v27Yu+ffsiGAzis88+\n",
"y2XziIiIiIjIBjj5y4EvvvgCgHZ7ZyonnXRSu+WJOjvWG+uciiluZvSl2EpdZINjQERUHHgGz4Gj\n",
"R48CAHr37p1yuT59+gAAmpqaLG8TUS6w3ljnVExx60hftEmOBz6fGzU1JaipKYHP5wbgsc0EiGNA\n",
"RFRcmO0zB/Rn+DweT8rl9NcDgYDlbSLKFdYb65yKKW7Z9EUvDzF7drJSF0IkO2ix4hgQERUfTv5y\n",
"QBCSJxqIptd3Mbo8UWegKApEsQ0LF6qYP98fV29M+9LNL4+Fppjilk1fiqnURbY4BkRExYeTvxzQ\n",
"r+ily+Jp9AohUWfDemOdUzHFLZO+iKIIny99eYj58/0oKRE7zSQ4ExwDIqLixMlfDnTv3h0AcOjQ\n",
"oZTL6a/ry6cSCoUQCoUSviYIArxeb+T/eSWx+OkxLvRYq6qKcDgc+Xeht7dQ5TrexRQ3I33JpDzE\n",
"xImhyF0bVsnH8V1oY2AnneV8TuZgvO0jOsaBQCDledPpdMLpdFrSDk7+ckDP8vn555+nXG7fvn3t\n",
"lk9l1apVePnllxO+1rNnTzz55JMAtBISZB/9+/fPdxMohxhva2jPXRu5kiWgtLQ08mOb1XIZ70Id\n",
"Azvh8W0vjLe93HLLLTh8+HDS1y+77DJcfvnllmybk78cGDJkCABg165dCAQCCT8kDxw4gEOHDsHj\n",
"8WDQoEFp13nppZfi4osvTvha9C8LDQ0N7X7lpuIkCAL69++PgwcP8hd4G2C8rSWKIiorXZCkkqRX\n",
"vrTyEEE0NQUjGZ2tko94F9oY2AmPb3thvO1DFEX069cPALBkyZK0V/6swslfDpx44okYNGgQPv/8\n",
"c2zYsAEXXXRR3DLr1q0DAIwaNSppIfhoRi8Hq6rKk4mNMN72wnhbIxwOR8pDxCY70enlIXL541ou\n",
"412oY2AnPL7thfEuftHxzefdEizSkyNXXHEFAOCVV17BkSNH2r22Z88erF27FpIk4bLLLstH84iI\n",
"KIpWHsKPq69ua1cgXpJUXH11GxYt8sPhSF47sBhwDIiIio+g8meGnFm2bBnWrFmD3r1749JLL0Xf\n",
"vn2xe/duvPbaawgEArj++utRXV1t6ja//vpr/iprA4IgYMCAAfjqq6/4y6ENMN65IYoiFMWF1lYh\n",
"rjyEKOau1EU+410oY2AnPL7thfG2D1EUC+LZTt72mUNTpkxBaWkpVq5ciaeeeiryd6/Xi2nTpuG8\n",
"887LY+uIiChaMZW6yBbHgIiouHDyl2M///nPUV1djc2bN6OxsRF9+vRBRUUFa/sRERUofbJjZxwD\n",
"IqLiwMlfHpSVlWHMmDH5bgYREREREdkIE74QERERERHZACd/RERERERENsDJHxERERERkQ1w8kdE\n",
"RERERGQDnPwRERERERHZACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERERERHZACd/\n",
"RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERERERHZACd/RERERERENsDJHxERERERkQ1w\n",
"8kdERERERGQDnPwRERERERHZACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERERERHZ\n",
"ACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERERERHZACd/RERERERENsDJHxERERER\n",
"kQ1w8kdERERERGQDnPwRERERERHZACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERER\n",
"ERHZACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERERERHZACd/RERERERENsDJHxER\n",
"ERERkQ1w8kdERERERGQDnPwRERERERHZACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwR\n",
"ERERERHZACd/RERERERENsDJHxERERERkQ1w8kdERERERGQDnPwRERERERHZACd/RERERERENsDJ\n",
"HxERERERkQ1w8kdERERERGQDnPwRERERERHZgJTvBtiN3+/Hpk2bcOjQIfTo0QMVFRUoLS3Nd7OI\n",
"iIiIiKjIcfKXIVVVsXHjRrz88svYt28fevfujccee8zQe2tra7F8+XK0tbVF/iZJEiZPnoxLLrnE\n",
"qiYTERERERFx8peJTz/9FE899RT2798f+ZsgCIbe+/rrr2P58uXo3r07fvGLX+Ckk07Cv//9b9TU\n",
"1OC5555DS0sLrrzySquaTkRERERENsdn/jKwZcsW7N+/HwMHDsSkSZMMv+/zzz/HihUr4PF4sGDB\n",
"AowfPx7Dhg3DhRdeiLvvvhvdunVDTU0Ntm/fbmHriYiIiIjIzjj5y8DgwYMxd+5cPPDAAxg9erTh\n",
"97344otQVRXjx49H//79273Ws2dPTJ48GQDw/PPPm9peIiIiIiIiHSd/GTjrrLMwfPhwANqzf0a0\n",
"tLRgy5YtAIDKysqEy5x77rlwOp3YvXs3GhoazGksERERERFRFE7+LPbpp59CURT0798fffr0SbiM\n",
"x+PB6aefDgD45JNPctk8IiIiIiKyCU7+LPbFF18AAMrLy1Mud9JJJ7VbnoiIiIiIyEyc/FmssbER\n",
"ANC7d++Uy+mv68sTERERERGZiZM/iwUCAQDarZ2p6K+3trZa3iYiIiIiIrKfoq3zt2XLlkiilUyV\n",
"l5cnTc6SKb0OoNEEMWYTRTFv26bc0fczxtseGG97YbzthfG2F8bbPkSxMK65Fe3kb9euXVizZk1W\n",
"7x01apRpkz+jV/T0171er6H1hkIhhEKhhK8JghBZT7IkM1Sc+vXrl+8mUA4x3vbCeNsL420vjLe9\n",
"BAKBlJN9p9MJp9NpybaLdvI3adKkjAqxW6V79+4AgEOHDqVcTn+9rKzM0HpXrVqFl19+OeFrgwcP\n",
"xsKFCzNoJRERERER5cKCBQuwd+/epK9fdtlluPzyyy3ZdtFO/gqFnuVz3759KZfTX0+XFVR36aWX\n",
"4uKLL076+tGjR7Fw4ULMmzfP8NVE6rwCgQBuueUWLFmyhPG2AcbbXhhve2G87YXxtpdAIIAFCxZg\n",
"5syZKeNt1VU/gJM/y5122mlwOBxoaGjAV199hQEDBsQt4/f78emnn0IQBJxxxhmG1mvkcvDevXt5\n",
"/7hNqKqKw4cPM942wXjbC+NtL4y3vTDe9qKqKvbu3Quv14uSkpK8tKEwnjwsYiUlJaioqAAAvPnm\n",
"mwmXeeuttyDLMk4//fS0JSGIiIiIiIiywclfDlx++eUQRRHr1q2LK+Le0NCAlStXAgAmT56cj+YR\n",
"EREREZEN8LbPHCgvL8fVV1+N5cuXY8GCBfjpT3+K8vJyfPnll6ipqYHP58NPf/pTDBkyJN9NJSIi\n",
"IiKiIsXJX46MHz8ebrcby5cvxx/+8IfI3yVJwlVXXYVLLrkkj60jIiIiIqJix8lflvr27YsXX3wx\n",
"o/dUVVXhhz/8ITZt2oRvv/0W3bt3R0VFBUpLSy1qJRERERERkYaTvxwrKSnBueeem+9mEBERERGR\n",
"zTjmz58/P9+NIGuIoojvfe97cDgc+W4K5QDjbS+Mt70w3vbCeNsL420v+Y63oLKwCBERERERUdFj\n",
"qQciIiIiIiIb4OSPiIiIiIjIBjj5IyIiIiIisgFO/oiIiIiIiGyAkz8iIiIiIiIb4OSPiIiIiIjI\n",
"BljkvUgFg0Fs3rwZBw8eRGlpKUaMGIFevXrlu1lkUGNjIzZv3oyjR4+ib9++qKiogMfj6dA6d+/e\n",
"jU8//RSKouDUU0/Fd7/7XZNaS2ayIvZUeMyOc0NDA7Zv344jR45AkiT06dMH3/ve99CtWzcTW03Z\n",
"MjPeqqpi586d+OyzzxAIBODxeDBw4EAMHToUosjf9PON53D76Wwx5+SvCP3rX//Ck08+iebm5sjf\n",
"BEHA+PHjcdVVV2VdVNLn82H16tV4/fXXEQgEcNlll2HSpElmNZugfai/8sorePnll6EoSuTvXq8X\n",
"1157Lc4777yM13n48GE8+uij2L59e7u/Dx48GDfffDP69+/f4XZTx1kRewD46quv8Morr+Ddd9+F\n",
"qqqYN28ehgwZYlazKUNmx1mWZfz+97/HW2+9FfeaJEn4+c9/jp/97Gcdbjdlx+x4HzhwAA8++CC+\n",
"+OKLuNd69+6NGTNm4JRTTulwuylzVp3DY23YsAFPPPEEAODFF180ZZ2UHbNj3tDQgJtuuinlMtXV\n",
"1bj++uuzaq+Ok78i849//AMPPvggvF4vJk+ejP/4j//AoUOH8Ne//hWrV6/G0aNHMX369IzX+8or\n",
"r6Cmpgatra2RvwmCYGbTCcDy5cuxZs0a9OvXDxMnTkTfvn2xZ88evPbaa3jssccQDAZRXV1teH1N\n",
"TU1YsGABDh48iLPPPjtyIvr73/+O9957D/PmzcNdd92FPn36WNUlMsjs2Le1teGpp57Ce++9B1VV\n",
"LWw5ZcLsOP/hD3/AW2+9hQEDBmDChAno378/mpqa8Pe//x0bN27Eiy++iBNOOAE/+MEPLOwVJWNm\n",
"vGVZxn333YeDBw9i6NChqKysRFlZGQ4fPow1a9Zg7969WLRoEZYuXQqXy2VxzyiW2cd2IgcOHMDT\n",
"Tz9tUoupo6yKeZcuXTB48OCErw0cOLCjzebkr5gcOXIEjz/+OERRxOzZs3HGGWdEXvvBD36AO+64\n",
"A++//z6GDx+OMWPGZLTu2tpaBINBnH322QC0SSaZa9OmTVizZg169uyJu+66K3K71rBhw1BRUYHb\n",
"brsNzz77LIYMGYITTjjB0DqfeuopHDx4EFVVVbjhhhsifz/rrLPQp08frFq1Co8//jjmzZtnSZ/I\n",
"GCti39jYiHfffRderxdjxozB9u3bsX//fiu7QWmYHedgMIj169dDFEXMmzcPPXr0iLx2zjnn4Jln\n",
"nsHatWuxevVqTv7ywOx479ixAwcPHsTAgQMxd+7cdrd4jho1CtOnT8e3336L+vp6/PCHP7SsXxTP\n",
"inN4rGAwiCVLliAYDJrZdMqSlTE/+eSTcfvtt1vRbABM+FJUVq1ahdbWVpxzzjntJn4AUFJSgl/+\n",
"8pcAgD/96U8ZXwkYN24cHnnkEdx6662m/OpA8Z5//nkAwKRJk+Ke0ykvL8eECRMgyzJeeuklQ+vb\n",
"u3cv/vnPf8Lj8eA///M/416fNGkSevfujR07dmDLli0d7wBlzezYA4DH48E111yDJ598ElOmTEGX\n",
"Ll1MbTNlzuw4i6KI//t//y/uuuuudhM/nf4j3759+zrWcMqK2fEeOHAgfvvb3+Kmm26Ke7bP6/Xi\n",
"9NNPB6DdOka5ZcU5PNaKFSuwf/9+jBs3rkNtJXPkIuZW4eSvSCiKgr///e8AgMrKyoTLDB8+HL16\n",
"9cKRI0finv9K55JLLkHv3r073E5KbP/+/fjiiy/gdrtx7rnnJlymqqoKAFBfX9/u9ttk3nvvPQDA\n",
"2WefjZKSkrjXHQ4HRo8e3W5Zyj0rYg8A3bp1w4QJEwr6oXM7sSLOkiTh9NNPx6mnnprw9VAoBABw\n",
"Op1ZtpqyZUW8e/bsiYqKCgwaNCjh636/HwCY3C3HrDqHR/vggw/w5ptvYtCgQbj66qs71F7quFzE\n",
"3Eqc/BWJAwcOoKmpCS6XK/LrXyLDhw8HAHzyySe5ahoZ8PHHHwMATjvttKTPavTt2xd9+/ZFMBjE\n",
"Z599ZnideswT0V/buXNnpk0mk1gReyo8+Yjz+++/D0C7hYhyK9fx3rt3L3bs2IGuXbvizDPP7NC6\n",
"KDNWx7qhoQG/+93v4PF4cPPNN/PHnALQ2T+3OfkrEvqzPCeeeGLKbJ4nnXQSAODLL7/MSbvIGD1z\n",
"W3l5ecrl9PglyvQWTVXVSIxTrVN/7ZtvvuFzBHliduypMOU6zh988AHWrl0LAB1OMkGZy2W8N2/e\n",
"jHvvvReSJOF//ud/0LVr16zXRZmzMtayLOOhhx6C3+/Htddem/XzgmSuzv65zYQvRaKxsREA0t6a\n",
"qWd11JenwnD06FEAxuPX1NSUcrnW1tbIZC7VOktKSuDxeNDa2oqmpibe2psHZseeClMu4/z222/j\n",
"ySefBKA9BvCjH/0o63VRdqyMd1NTEx566CHIsoyDBw/i6NGj+P73v49f/OIXSW8JJetYGes//elP\n",
"2L17N3784x9HHtOg/LP6fL5jxw5cccUV8Hg86Nu3L77zne+gsrIyaQbQTHHyVyQCgQAApH2+R3+9\n",
"0O4/tjs9Hkbjp8c7mejXjayztbU17TrJGmbHngpTLuKsqir+/Oc/Y+XKlQCAn/zkJwmTPZH1rIx3\n",
"KBTCRx991O5vu3btwrvvvou+ffsmfMabrGNVrLds2YK//OUvGDBgQIfrupG5rIq52+3G0KFDAWjl\n",
"mg4fPozPP/8cn3/+Od58803Tzumc/OXRli1bss6yWF5e3i6xi15zL10WT9b7KkxGaybq8Uu3fDY1\n",
"GFm3MT/Mjj0VJqvj3Nraiocffhj19fVwuVy47rrreKUgj6yMd69evfDiiy9CURQcOXIEH330EVau\n",
"XIm//vWv2LRpE+6++25OAHPIilgfOXIEjz76KJxOJ37zm9/A7XZ3qI1kLquO77KyMtxxxx3t/nbk\n",
"yBGsW7cOq1atwl/+8heccMIJSRM7GsXJXx7t2rULa9asyeq9o0aNahd8r9cLIP0VPf11fXkqDEav\n",
"yBr9tSk6vq2trSm/CBhdJ1nD7NhTYbIyzn6/H3fddRf27NmDnj17YtasWTjllFOybyx1WC6Oa1EU\n",
"0atXL4wePRpnnXUWZs+ejQMHDuC1117DL37xi8wbTVkxO9aqquLhhx9Gc3MzfvWrX/FW3gKUy8/t\n",
"Hj16YPLkyRAEAStXrsSqVas4+evMJk2ahEmTJpmyru7duwMADh06lHI5/fWysjJTtkvmyDR++vLJ\n",
"uN1uuN1utLW14Ztvvkma7c/n86G1tRWiKMbVqaHcMDv2VJisjPOvdf/BAAAZlklEQVTDDz+MPXv2\n",
"oLy8HLfddlvCmn+UW7k+rrt06YIrr7wSS5cuxdtvv83JXw6ZHetvvvkGO3bsAAA8++yzePbZZ5Mu\n",
"O3nyZADAvHnzMGTIEMNtpo7Jx+f2+PHjsXLlSjQ0NODIkSMdOs9z8lck9IxDBw4cgCzLkKTEodWL\n",
"/abLUES5pcfj888/T7mc0fgJgoCTTjoJu3fvxr59+5JO/vT19e3bN2m6YrKW2bGnwmRVnD/44ANs\n",
"3rwZPXv2xJw5czjxKxD5OK5HjBgBQLtNLBQKsSRAjpgda/25r1S3Cn744YcAgGHDhgEAM7zmWD6O\n",
"765du6KsrAyNjY1obm7m5I+AAQMGoHv37jh69Ch27NiRsLaboijYtm0bAOC73/1urptIKei/2O3a\n",
"tQuBQCDhbbkHDhzAoUOH4PF4DN0GMmTIEOzevRtbtmzBeeedl3AZ/ZlT7g/5Y0XsqfBYFec///nP\n",
"AIDrrrsOPXv2NK291DH5OK7154tUVU1Z8onMZXasEz33FUu/4nf77bdn12jqkHx9bre1tQFAh5/p\n",
"ZZ2/IiEIAs455xwAwLp16xIu869//QtHjhxB7969ccYZZ+SyeZTGiSeeiEGDBiEYDGLDhg0Jl9Hj\n",
"OmrUKENX6c4991wAwD//+c+EaYaDwSDefvvtdstS7lkReyo8VsT5008/xZdffomBAwdi5MiRZjaX\n",
"OsiKeB88eBD19fWRur6x9L+fcMIJEEV+vcsVnsPtx4qYB4NB7N+/Hw0NDQlf3717N1pbW9GtW7cO\n",
"l+Xi2aGITJw4EV6vFxs3boxc4dO1tLTgD3/4A4DjvxhFmzx5MiZPnoxp06blpK0U74orrgAAvPLK\n",
"Kzhy5Ei71/bs2YO1a9dCkiRcdtllkb9v3749ErvHH3+83XtOPvlk/PCHP0QoFMKKFSvitvfCCy/g\n",
"6NGj+N73vhdJLUz5YXbsqTCZHefdu3cDgGm1n8hcZsf7o48+wv3334+nnnoqbluKouCll14CAPz4\n",
"xz82uyuUBs/h9mN2zL/99lvMnDkTc+fOjSsNEQ6H8dxzzwFA0ju5MsHbPotIWVkZbrzxRixZsgSL\n",
"Fy/GJZdcgu985zs4dOgQXnvtNTQ0NOCcc85JueMwjXz+nHnmmbjooouwZs0a3H777bj00kvRt29f\n",
"7N69G6+99hoURcHUqVPRv39/w+u89tpr8dlnn+Hdd9+F3++PZIh699138cEHH6BHjx648cYbreoS\n",
"GWRF7KnwmB1nn88HQJsU3HnnnSmXnThxYsLHAcg6Zsf7Bz/4AZ5//nl8+umnWLBgAUaPHo1evXqh\n",
"sbER69atw86dO1FeXo6LL77Y4p5RLJ7D7cfsmA8YMABnnnkmtmzZgjlz5uCiiy7CgAED0NTUhDVr\n",
"1mD37t3o0aMHfvazn3W47Zz8FZmzzz4bM2bMwO9+97vIsyCAlhJ6woQJphSH5ATROlOmTEFpaSlW\n",
"rlzZ7tddr9eLadOmxU3c08WiW7dumDdvHh599FHU19ejvr4+8tqpp56K6dOno0+fPuZ2grJiduxj\n",
"8bgtDFbE+fDhwzh8+HDKZcz4tZgyZ2a8u3btitmzZ2PJkiXYsWNHJCOk7qyzzsKNN97I2wrzxOpz\n",
"OBUes2P+m9/8Bo899tj/b+/Og6I+7ziOv1lWQDESEOqBJ1YjeFUTlKQqtgmSNjXVVqMmzSVxjLaZ\n",
"jslMpsYhJJk4ba2mNYnjtI11WpPJNdXUOImRCKiEUSOgIsrlhUAIKgFE3Cx79A9mf+7Cshwaj+zn\n",
"NZOZ9Xc++9tlZj95nuf78OWXX/Kvf/3LY9/QoUNZvnw5oaGhV93uAKdW/f5eslqt5OXlUVNTQ+/e\n",
"vZkwYQJ9+/a90c2STqqvryc/P5/6+nqioqKYNGnSVa/vVlZWRmlpKQ6Hg5iYGBV5uUl9F5+93Hz0\n",
"OfuXa/l52+12jh49SkVFBc3NzfTp04fY2FgGDBhwjVst3aG/bf9zrT/zyspKioqKaGhoICQkhOHD\n",
"h1/TWh0KfyIiIiIiIn5ABV9ERERERET8gMKfiIiIiIiIH1D4ExERERER8QMKfyIiIiIiIn5A4U9E\n",
"RERERMQPKPyJiIiIiIj4AYU/ERERERERP6DwJyIiIiIi4gcU/kRERERERPyAwp+IiIiIiIgfUPgT\n",
"ERERERHxAwp/IiIiIiIifkDhT0RERERExA8o/ImIiIiIiPgB841ugIiI+J8PPviA//73vwC8//77\n",
"N7g10hW//e1vOX/+PImJiSxbtuy637+hoYEtW7aQm5tLbW0tPXv2JDY2lueee+66t0VE5Faj8Cci\n",
"chNav349e/bs6fb5N+qH+c3A17MLCQmhf//+jBs3juTkZKKioq5z6+RqNDY2snLlSmpqajy2uf+7\n",
"O+rq6li2bBl2ux2z2czf//53evfufbXNFRG56Sj8iYjchAIDAzGZvI/Mdzgcxuv2jmlv+3ctKyuL\n",
"mpoahg8fTnx8/A1pgzv35+BwOLBYLJw+fZrTp0/z2WefsWTJEqZOnXoDWyhdsX37dmpqaggODmbx\n",
"4sVMmjSJ0NBQbDbbVV03IyMDu90OgM1mIzs7m/vvv/9aNFlE5Kai8CcichN6+umnefrpp73ue/nl\n",
"lzl27BhRUVG8+eab17llvmVlZXH8+HESExNvivD3xhtvEBkZCUBTUxPV1dVkZGSQnp6O1Wplw4YN\n",
"jBo1ih/84Ac3uKXSGbm5uQDMmDGDadOmGdvN5u7/nHE4HOzatctjW2ZmpsKfiHwvqeCLiMgtxul0\n",
"3ugm3JJ69epFTEwMTz31FElJSUBLL0/rH/5y8/r6668BGDJkyDW7Zn5+PufPnyckJIRJkyYBcPr0\n",
"ac6cOXPN7iEicrNQ+BMREb9zzz33GK/Pnj17A1siXfHtt98CV9fT19rOnTsBmD59OrNmzTK2Z2Zm\n",
"XrN7iIjcLDTsU0Tke6ympoZnnnkGgGXLlpGYmEhmZiafffYZFRUVNDc3s379eiIjI5k/fz4Ac+fO\n",
"Zd68eV6vl5WVxYYNG4ArVToLCwt55ZVXPI7bvXs3u3fvNv4dGRnJ+vXr221nU1MT27ZtY9++fZw7\n",
"d46goCBGjBjBL37xC370ox91/wG04/bbbzdeu+Z6eVNVVcX27dspKCigtraWHj16MGjQIO6++26S\n",
"kpIICgoyjj1w4ABr164FYM2aNQwePNjjWg6Hg5SUFJqamoiOjua1117zes+lS5dSW1vL4sWLue++\n",
"+zzOz87OZu/evZw6dYpLly4RGhpK//79iY+PZ+bMmfTs2dPjWu6fTVpaGqNHj+aTTz4hIyOD6upq\n",
"7HZ7m2qr1dXVbN26lSNHjlBfX09YWBijR49mzpw516THLS8vj6ysLEpKSmhoaCA4OJiBAwcSHx/P\n",
"/fffT0hIiMfx7t9hlw0bNhjfQ+h+gaOamhoOHToEQHJyMoMGDWLAgAF89dVX7N27l9/85jftBs2u\n",
"PNvWFVIPHTrExx9/zKlTp2hubiYqKop77rmH2bNnG/crKirio48+orS0FKvVytChQ5k1axZTpkzp\n",
"8vsUEXFR+BMR8RNOp7NTVUQDAgK6dN2AgACjsEp7xWh89dScP3+eV155xRjSBy3DMQsKCigoKGDJ\n",
"kiX89Kc/7VKbOlJRUWG8HjBggNdjdu7cyaZNmzzek81mo7S0lNLSUjIzM3nhhReIiIgAYNy4cZhM\n",
"JhwOB4WFhW3CX0lJCU1NTQBUVlZSU1PTZq5hZWUltbW1AB6h9+LFi6xevZqSkhKP4y9evMjFixcp\n",
"LS3lk08+IS0tjYEDB3p9P1arlT/+8Y8cOXKk3edy8OBB/vrXv3oUUKmtrSUnJ4eDBw/y8ssvt3tu\n",
"RywWC2+++SZffvmlx/ampibKysooKytjx44dPP/888TExBj7vX2/AgICPL6n3S1wlJ6eDsCYMWMY\n",
"NGgQAPfeey9vv/02jY2N5ObmdipsdebZuuzcuZONGzd6bKusrOTDDz+kvLycZ599ls8//5y33nrL\n",
"Y4h3aWkpr732GikpKcycObMrb1NExKDwJyLiJ/73v/9RXV3NQw89RFJSEqGhoVRUVFx1Sfu4uDje\n",
"ffddAF566SWj4Etne2LWrl1LU1MTv/vd74iPj8fhcJCXl8emTZtobGxk8+bNTJ061aOX7Wo0Nzez\n",
"detWoCVETJ8+vc0xGRkZxg/0O++8k4ceeohBgwbR0NBARkYGW7du5ezZs6xfv57U1FQAevbsyahR\n",
"oygqKuLYsWNtCoa4ephccnNz+dnPfuaxzRUeBg4caBSqcTqd/OUvf6GkpASTycTChQuZNm0a4eHh\n",
"XLp0iYMHD/LWW29RV1fHpk2bWLlypdf3/e9//5sLFy6waNEipk2bRlBQECdPnjT2V1ZWGsEvIiKC\n",
"xx9/nEmTJmEymSgpKWHz5s28/vrr3a6s6R78EhIS+NWvfsXgwYNpbGwkOzub9957j2+++YZVq1bx\n",
"5z//2Xj/UVFRxvfL1Tu9dOlSEhMTu9UOF5vNZgztTE5ONrbPmDGD9957z9jfmfDX0bN1qaio4Isv\n",
"viAmJoZFixYxYsQIKioqWLduHRUVFezfv5+3336b7du3M27cOB577DGio6MpLi7m9ddfp7a2lg8/\n",
"/FDhT0S6TXP+RET8RFVVFU8++SS//vWv6dOnD4GBgQwdOrTNMLvrrby8nBUrVjBt2jRCQkLo1asX\n",
"U6dO5eGHHwZaeoaKioq6dW33npOmpiZyc3NJTU01fpj/8pe/9OhlgpaeLlfwi4+P5/nnn2fYsGGY\n",
"zWYiIiKYO3euMQzx6NGjHj/yJ0yYAMDx48fbtOXw4cMAjBo1CmgZ/tiaK/y5ruO6VnFxMdDSK/Xg\n",
"gw8SHh4OQGhoKImJiTzwwAMAnDp1qt1nUVVVxbPPPktycjK9evXCbDYbbQF45513sNls9OzZkxdf\n",
"fJGEhASCgoIwm83ExcXx0ksvAS1r4nVVXl6eEfySk5NZvnw5Q4cOxWQy0adPH37+85+zcuVKAgMD\n",
"aWxs5D//+U+X79FV+/bt4+LFi/Tt29ejMu1tt91m/Pvw4cOder8dPVuXEydO0K9fP1588UVGjhyJ\n",
"yWRiyJAhLF682Djm448/JjY2lhUrVjB48GBMJhOxsbEsWrQIaFnk3r3nWkSkKxT+RET8RGRk5E3Z\n",
"Y5CUlMSIESPabB8zZozxuqqqqlvXfuaZZ1iwYAHz58/nySefZPXq1Zw6dYqgoCAeeeQRFi5c2Oac\n",
"nTt3YrPZMJvNLFmyxOt1ExISjGGCrlAHV0JbQ0MD5eXlxvaGhgZOnjyJyWTi0UcfBeDYsWNYLBbj\n",
"GLvdzrFjxzyuAxAdHU1aWhppaWnMnTvXa3v69esHwKVLl9p9FqNHj253/mR9fb2xjMIDDzzgdShs\n",
"cHBwu/fviKuoyu23385jjz3m9Zg77rjD6IE7cOAADQ0N3bpXV9t03333tRk26ppr6XA4POautsfX\n",
"s23tqaeeajM384c//KExjNVkMrF06dI2bXL/G7naRe1FxH8p/ImI+ImJEyfe6CZ4lZCQ4HW7q3cL\n",
"MObKdZXT6WyzNEZsbCzr1q3jwQcf9HpOQUEB0DLc87bbbmv32q45fe69MDExMcYwWleQgys9eqNG\n",
"jWLUqFFERkZis9k85oiVlpZisVjo0aOHR/ANCwsjLi6OuLg4j0I1Lg6Hwwh97vMTW7vzzjvb3ec+\n",
"l9DX+ozd+Q45nU6j5zI+Pt7n/M+77767zTnfhfLycoqLizGbzR5FdVzGjh1L//79gZYiRx3x9Wzd\n",
"RUREEBcX12a72Ww2vjftrTvpPjy7u38PIiKa8yci4ieio6NvdBO8al0YxcV9jp+vUOOLq5Kp1Wrl\n",
"1Vdfpbi4mOPHj7Nt2zaeeOIJr+d89dVXAOzfv9+YY+ZLY2Oj8TogIIDx48eTk5NDYWGhMe/PNd/P\n",
"1aM3ceJE0tPTyc3NZfLkycCVgDh69Gif8xstFguHDh3i2LFjlJSUcPbs2U7Nw2uvEAzAuXPnjNeu\n",
"0ONNaGgooaGhPnsYW7t8+bIRVjr6Drp6UwEuXLjQ6Xt0lavXLyEhgT59+ng95ic/+QnvvvsuVVVV\n",
"lJSUeB3G6eLr2bobOnRou/tcn3l7x/To0cN47atCrYiILwp/IiJ+ovVQs+7obgjzJTQ01Ov2rlYd\n",
"9SUoKIg//OEPpKamUlFRwaeffspdd93F2LFj2xx7+fJl4/6daUPrH+ITJkwgJyfHmKfodDqNYOca\n",
"Gjhp0iTS09PJz883zvM2389dVVUVW7duZd++fVitVgACAwOJiYkhODiYo0eP+mynr8/fffhpcHCw\n",
"z+sEBwd3Kfy5X7uj+aXu93Z9DteaxWJh7969AGRnZ5Odnd3hOVlZWT7DX2f/tnwVV3J9167H34OI\n",
"+C+FPxERP9HZH4++Ap57L9etplevXqSkpBjLFbz//vtew19ISAhNTU2kpKSQlJTU5fu0nvfncDio\n",
"r6+nT58+RnGZsWPHYjabqa+vp6ysjIEDB1JWVuZxvrtdu3axceNG7HY7wcHBTJs2jcmTJzN+/HhC\n",
"QkLIysrqMPz5+vzdexovX75Mr1692j22q0MO3YNRR+e6Bz5fbbgae/bs8QiknZGTk8MTTzzRbo9s\n",
"Z/+2OrMkRWBgYJfaJiLSFQp/IiICYKxR9+2337Z7zOnTp31ew/Uj+GYdlhYXF0dCQgL79u2jpKSE\n",
"/Pz8NvPY+vfvz8mTJ43hn10VHh7OkCFDKC8vp7Cw0Hie48ePN44JCgpizJgxHD58mLy8PGpra3E6\n",
"nca57qqrq/nnP/+J0+lk2LBhvPDCC4SFhXkcc7Wh3LWsArQs+TBy5Eivx33zzTddDk49e/YkLCyM\n",
"+vr6Dr8/7vt9DT+9Gq61/ebPn8+9997r89jCwkLWrVvH5cuX2bdvn9dlQUREbiUq+CIiIsCVnpbq\n",
"6mqv+11LJfji6uXpznIA18v8+fONkOpaP87duHHjgJalAHzNpXM4HNjt9jYFZeBK711hYaFRDbR1\n",
"j54rdObm5hpDPt0DosuhQ4eMezz++ONtgh94VhztjjvuuMN4ffDgwXaPa71Ae2e5nunBgwd9Dufc\n",
"s2cP0BKO3dt0rRQVFVFeXo7ZbCYpKYmwsDCf/02ZMsUYqtmZwi8iIjc7hT8REQGuFF45evRomzld\n",
"TqeTjRs3dtjr4yp8ceLECZ89iDfSwIEDmTp1KgBnzpzhiy++8NiflJSEyWTiwoULxnp/rTU3N7N0\n",
"6VIefvhhNm/e3Ga/e/grLi4mICCgzVIArvB3+vRpDhw4AOB1uQD35+itUmZOTo5H1VDXfMCuCA8P\n",
"N4Lnjh07vP4PgIaGBrZs2dLlawPGOoRNTU384x//8HpMXl6esazC9OnTv5P1J12FXjqq5OoSGBho\n",
"VKMtLCz0KIwjInIrUvgTERHgypILFouFVatWcfLkSWw2G+Xl5axZs4bs7GyfRS8ApkyZArTM3Vqz\n",
"Zg0VFRVYrVbKyso8AsqNNm/ePGP+1QcffOAxzzEqKsqo8pmRkcGqVas4fvw4VqsVq9VKaWkpr776\n",
"KnV1dQQEBBjLE7iLjY0lKCiIpqYm7HY7w4YNa1NVsn///sbQxvr6ekwmk9eeP/dnvmHDBkpKSrDb\n",
"7Zw7d4533nmHN954w6PaZHeXAXj00Ucxm81YLBbS0tLIycnBYrFgtVrJy8sjNTWVvn37EhER0eVr\n",
"x8TEMGfOHKAlrP7pT3/i5MmT2O126uvr+eijj1i7di3QshyCt/UXr1ZDQwP79+8H6HC4pzvX/ygA\n",
"9f6JyK1Pc/5ERARoWdjaNQTxxIkTrFixwtgXEBDAvHnziIyM9FgTrrWRI0eSlJREeno6R44c4bnn\n",
"njP2JSYmeg03N0K/fv1ITEwkMzOT6upqdu3a5VHcZfbs2VgsFrZu3cqRI0e8BleTycTChQu9zo8z\n",
"m83ExcW1WeKhtYkTJ/Lpp58CnmsEuouNjTXmKVZVVZGamupxn5SUFMLDw1m9ejXQMmzX23qAHRky\n",
"ZAjLly/nb3/7G3V1daxbt85jf9++fVm+fDlpaWldvjbAggULsNvtbNu2jfz8fI9Kpy79+vVjxYoV\n",
"PqtidldmZiY2m43IyMh2Pw9vYmNj6du3LxcuXGD37t3MmzfvmrdNROR6UfgTEbnFfFcl381mMytW\n",
"rCA9PZ3MzEwqKysJCgpi5MiRzJo1izFjxnSq5yMlJYV+/fqRlZXF119/jclkIioqyqMH67ssW9/Z\n",
"a8+dO5e9e/dis9nYsmULM2bM8FhLbcGCBSQkJLBjxw4KCwuNeYwRERHExsYyc+ZMo3qnNxMmTDDC\n",
"n7fhnNCy5IMr/PkKJL///e8ZPnw4mZmZnD9/nt69exMXF8ecOXMYMmQIVVVVxrFnzpxh9OjRXXoW\n",
"LnfddRdr1qxhy5YtFBQUcPHiRcLDw5k8eTKzZ8/u1FBJXx555BGmTJnCjh07OH78OHV1dQQHBxMd\n",
"HU1CQgIzZ870+AyuFafTyeeffw7AjBkzunz+j3/8Y7Zt28a5c+c4evQoY8eO1dILInJLCnB6m6ku\n",
"IiIiIiIi3yua8yciIiIiIuIHFP5ERERERET8gMKfiIiIiIiIH1D4ExERERER8QMKfyIiIiIiIn5A\n",
"4U9ERERERMQPKPyJiIiIiIj4AYU/ERERERERP6DwJyIiIiIi4gcU/kRERERERPyAwp+IiIiIiIgf\n",
"UPgTERERERHxAwp/IiIiIiIifkDhT0RERERExA8o/ImIiIiIiPgBhT8RERERERE/oPAnIiIiIiLi\n",
"BxT+RERERERE/IDCn4iIiIiIiB9Q+BMREREREfEDCn8iIiIiIiJ+4P8d8z5hVm+HXwAAAABJRU5E\n",
"rkJggg==\n"
],
"text/plain": [
"<matplotlib.figure.Figure at 0x11e5b6a50>"
]
},
"metadata": {
"image/png": {
"height": 329,
"width": 447
}
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(armrewards3, pulled_count3)\n",
"plt.title(u'Pull counts of UCB')\n",
"plt.xlabel('Truth Reward of Arm')\n",
"plt.ylabel('Count')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.9"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment