{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 2018-01-22 Solow Growth Model: Initial Computations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting up the environment" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "application/javascript": [ "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%javascript\n", "\n", "IPython.OutputArea.prototype._should_scroll = function(lines) {\n", " return false;\n", "}" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# keep output cells from shifting to autoscroll..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# graphics setup: seaborn-whitegrid and figure size...\n", "from matplotlib import pyplot as plt\n", "\n", "plt.style.use('seaborn-whitegrid')\n", "\n", "figure_size = plt.rcParams[\"figure.figsize\"]\n", "figure_size[0] = 10\n", "figure_size[1] = 7\n", "plt.rcParams[\"figure.figsize\"] = figure_size" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start the economy in some random, arbitary position, let it develop over time according to its behavioral relationships, and see what happens:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# libraries...\n", "\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataframe initialized without visible errors\n" ] } ], "source": [ "# initialize the dataframe...\n", "# covering T years\n", "\n", "T = 200\n", "\n", "sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", "print(\"Dataframe initialized without visible errors\")\n", "\n", "# you think that the machine is in some state: but you may be wrong...\n", "# restart the kernel every ten minutes!" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameters set without visible errors\n" ] } ], "source": [ "# parameter values: labor-force growth rate, efficiency-of-labor growth rate,\n", "# depreciation rate on the capital stock, savings-investment share of output,\n", "# and capital share in production α...\n", "\n", "n = 0.0\n", "g = 0.0\n", "delta = 0.03\n", "s = 0.15\n", "alpha = 0.5\n", "\n", "print(\"Parameters set without visible errors\")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation initialize without visible errors\n" ] } ], "source": [ "# initial conditions: labor force, efficiency-of-labor, and \n", "# capital stock: change these parameters here...\n", "\n", "L0 = 1000\n", "E0 = 1\n", "K0 = 5000\n", "\n", "# initialize the dataframe at time 0 by setting L, E, K...\n", "\n", "sg_df.Labor[0] = L0\n", "sg_df.Efficiency[0] = E0\n", "sg_df.Capital[0] = K0\n", "\n", "# use the production function to calculate output at time 0...\n", "\n", "sg_df.Output[0] = (sg_df.Capital[0]**alpha *\n", " (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", "\n", "# calculate the last two initial values for the dataframe:\n", "# output per worker and the capital output ratio...\n", "\n", "sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", "sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", "\n", "print(\"Simulation initialize without visible errors\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Simulation ran without visible errors\n" ] } ], "source": [ "# And now we loop the system forward, watching what it does\n", "# for T years...\n", "\n", "for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", " \n", "print(\"Simulation ran without visible errors\")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'22'" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "two = \"2\"\n", "\n", "two + two" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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dujRDO4YPH35X5yI2NpYxY8Zw6dIlLl68SMmSJZk5c6b5OYODgzly5AjJycm8\n+uqrdOzYEbjxZWXhwoXY2tpStGhRRo8eTbly5RgxYgRXrlwhOjqa559/nqFDhz74F1AEiI6O5scf\nf2T79u04OzsDUKBAAcaNG8e+ffuA23++enl50atXL3bt2kVCQgLvvPMOLVq0YMWKFaxdu5b+/fuz\ndOlS0tLScHFx4c0332Ts2LGcOnWKq1evUrBgQT755BOeeeaZbGO8ePEiKSkpJCcnY29vj4uLC1Om\nTMFkMnHgwIEM9Q8ZMiTbz/WLFy8SGBjIiRMnsLW15eWXX6Znz57m50lNTeXdd9/F3t6eyZMnY2+v\ntDEndNbysJCQENq1a0fbtm1JSUmhffv2bN68GX9/fwBKlSrFhx9+yNGjR+nRowe//PILmzZtYtu2\nbXz//fcUKFCA2bNnM2LECL766isAChUqxM8//5zl8yUmJtK2bVvzYzs7O1asWMHx48cJDAxk6dKl\nlC5dmrCwMPr372/+iSomJoaffvoJe3t7vv32Ww4fPszq1atxdHTknXfeMT/f0aNH+e6777C3t2fZ\nsmWMGjUq1/YESt7Wq1cvbG3/NwqvVKlSfPbZZwQHB+Pp6Wnu+Y6OjqZixYq89tprzJ4921z+nXfe\noWPHjnTr1o2zZ8/So0cPGjZsaN5/6tQpZsyYwbfffkuRIkU4duwYr776KuvWrQNgz549rFq1Cmdn\nZ/r27cuyZcsYNGhQlvWuWrUKV1dXtm3bRqNGjVizZg3169fPkGgDzJ07lwsXLrB69Wrs7Oz44IMP\nmDJlCh9++CF//fWXuR13a82aNdSoUYM33ngDwzB44403WL16Nb179wYgX758rFy5kvPnz9OuXTuq\nV69ObGwsX375JcuWLcPNzY0VK1YwYMAA1qxZA9z4G5P+fxFL+eOPP6hQoYI50U5XrFgxWrRoAdz+\n8zUtLY3ChQuzYsUKjhw5Qvfu3aldu7a5nurVq/Pyyy/zzz//MGTIEH799VcKFSpESEgIAGPGjGHx\n4sWMHj062xhfffVV+vfvj6+vL9WrV8fHxwd/f3+8vLwAMtS/fPnybD/Xx40bx9NPP01QUBBxcXEE\nBATQqFEj4MYX8Lfffht3d3dGjx6NjY3NAz3PjxMl23nY0KFD2bFjB/Pnz+fUqVNcuHCBhIQE8/6A\ngAAAPDw8KF++PPv27WPr1q20b9+eAgUKANCzZ0/mzZtnHqd28x+MW2U3jCQ8PBxfX19Kly4NQP36\n9XFzc+MozbxvAAAgAElEQVT3338HoEaNGuZvyzt37qRt27bkz58fuNH7DvD2229z6NAhOnToAIDJ\nZOLff//N+ckRuQ+3G0ZyJ1euXOHIkSN06tQJgKeeeorQ0NAMZXbs2MGFCxd45ZVXzNtsbGw4ffo0\nAHXr1jUnAl5eXly9evW29Xbr1o2QkBAaNWrEsmXLGDZsWKa4tm7dypAhQ3BwcABujNkcMGBAjtoI\nN76Q7NmzhwULFnDq1CmOHTtG9erVzftffvllANzd3fHz8yMsLIxz587RqlUr87lt3749EydONI+H\nr1WrVo7jEblbtra2mEym25a50+dr9+7dAahUqRIeHh789ttv2dbVsmVLSpcuzcKFC4mKimL37t13\nvBfrySefZMWKFfz111/s2rWLXbt20aVLF0aMGEG3bt0ylL3d5/rOnTvNvxK5uLjw008/mY+bPHky\n169fZ/369Uq075OS7TzsnXfeIS0tjRdeeIHnn3+es2fPmm+eADL0zBmGgb29fYb9cCOpTU1NNT9O\nv1jvxa11pm9Lr/fmOm/9iSo2NhaTyYTJZKJPnz507doVgOTkZI1Hk0dS+nv85g+vEydOUKJECfNj\nk8lE/fr1zV82Ac6ePUvx4sVZv369+ctoej3p12929bZu3Zrp06cTHh5OQkICderUyRTXrcmFyWQi\nJSUlx+2cOnUqBw8epEOHDtSrV4/U1NR7/vuTvi+rvxUiluLt7c2JEyeIj4/P0Lt9/vx5Ro8ezaxZ\nsxgxYsRtP1/t7OzM/zeZTBke3yo4OJiQkBC6detG69atcXV1NX/BzM6UKVPo1KkTFSpUoEKFCnTr\n1o3Vq1czf/78TMn27T7X7e3tM/zNiI6OpkiRIgC0adMGwzAYNWoU8+bNu208cnuajSQP2759OwMG\nDKBVq1bY2Nhw4MAB0tLSzPtXrlwJwOHDh4mKiqJ69er4+fmxYsUK8zf0hQsXUqdOHRwdHXMch6+v\nLzt27CA6OhqAsLAwzp49m6GXK139+vX56aefSE5OxmQyMXbsWNasWYOfnx/ff/898fHxAHz66adZ\n9s6J5HbOzs5UqVKFVatWATeS6ICAAOLi4sxl0q+Z48ePA7BlyxbatGlDUlJSjup1cnKiTZs2vP/+\n++Ye5Vs1aNCApUuXkpKSgslkYvHixTz33HM5buf27dvp1asX7dq144knnmDnzp1Z/v35+++/2blz\nJ/Xr18fPz4+ff/7ZPLvJ8uXLcXV1pWzZsjmOQ+Reubu707p1a95//33zZ058fDxjx47F1dWV/Pnz\n3/HzNf06PHz4MCdPnsz0BdfOzs6c8G7fvp2XXnqJTp06Ua5cOTZu3JihrqxcvnyZTz/91PwLr2EY\nnDx50jyM5Ob6b/e5Xr9+fZYvXw5gvsny1KlTwI0vHYMHD+b06dPmIS6SM+rZzgMSEhIy/eS0dOlS\nhgwZwoABAyhcuDBOTk7UqVPH/DM03PgG265dO2xsbJg+fTqurq507NiRs2fP0qlTJ0wmE2XLluWT\nTz65r/gqVKhAYGAgb731FmlpaeTPn5958+bh4uKSqezLL79MTEwM7du3xzAM6tatS48ePbC1teX8\n+fN07twZGxsbnnrqKSZNmnRfcYnk1K1jtuHGL0npYx3vZNq0aYwbN46FCxdiY2PDxIkTKVasmHl/\nxYoV+fDDD3nnnXfMvb5z5869Y8/u7ept3769eZxpVvr168fkyZNp164dqampeHt733bM6M3SZ1hI\nN336dAYMGMCUKVMICgrCzs4OHx+fDH9/kpKSeOmll0hJSWHUqFGUK1eOcuXK8corr9CrVy9MJhNu\nbm58/vnnmc61iKUFBgYSFBTEyy+/jJ2dHcnJyTRr1oyBAwcC3PHzde/evYSEhGAymZgxYwaFCxfO\nUH/9+vUZOHAgDg4O9O7dmzFjxrBixQrs7OyoUqUKR48evWN8M2bMoE2bNjg6OpKamoqvry9jxozJ\nVP8HH3yQ7ef6mDFjGDt2LK1bt8YwDN58802qVq1qfp58+fIxadIkevfuja+vL2XKlHkg5/dxY2Nk\n9budiIjkGYZhMH/+fGJiYhg3bpy1wxHJ0zw9PQkLC8vxfR2S96hnW0Qkj2vatClubm7MnTvX2qGI\niDx21LMtIiIiImIhGggnIiIiImIhSrZFRERERCzkkR2zHRERYe0QRHKd3Lzoh65ZkYx0vYo8WnJ6\nzT6yyTbk7j9UdyMyMpLKlStbO4z7lhfakRfa8Ch8OOqatT61IXfQ9Wp5eeF9khfaAHmjHfdzzWoY\niYiIiIiIhSjZFhERERGxECXbIiIiIiIWomRbRERERMRClGyLiIiIiFiIkm0REREREQtRsi0iIiIi\nYiFKtkVERERELETJtoiIiIiIhSjZFhERERGxkEd6uXYREREREUtJTTNx5FzcfdWhZFtERERE5P9d\nT0ply9GLrDt8jk1/XuTqvyks7/RkjutTsi0iIiIij7XL15MJjTzPusPn2HosluRUE0UKONCssjtN\nKxeH5L9zXLeSbRERERF57MTGJ7Hm4Fl++f0su09exmRASVcnutYtg3+VJ6nzdBHs7W7c3hgRoWRb\nREREROS24hJTWHv4PKv3x7Dz+CXSTAYVizvT//kK+Fd5kqolC2FjY/NAn1PJtoiIiIjkWYkpaWz+\n8wI/HPib0MgLJKeaKO3mRN9Gz9Cmekk8n3Sx6PMr2RYRERGRPOePv68RsiealftiuPpvCkWdHela\ntwxtapSgZmnXB96DnR0l2yIiIiKSJ1xLTOGH/X+z7LdoDsVcxdHOFv+qT9KpVimeLf+EeQz2w6Rk\nW0REREQeWYZhEBH1D8G7TvPz72dJTDFR6UkXxrb2ol3NkrgWcLRqfEq2RUREROSRk5iSxo8H/uab\nnac4/Pc1XPLZ096nFC/XKU21koUf2jCRO1GyLSIiIiKPjL+v/Mui8CiW/hbN5evJVCzuzIR2VXmp\nZkkK5st9qW3ui0hERERE5BaH/77KvC0n+PnQWQzDoFlld1559mnql38i1/RiZ0XJtoiIiIjkSoZh\nEHb8EnO3HGfbsVic89nzml85eviWpbRbAWuHd1eUbIuIiIhIrpJmMlh7+Bzzthzn4JmrFHXOx7CW\nnnSrV5bCTg7WDu+eKNkWERERkVzBZDL4+fezfBp6jGMX4nn6iQJ89FI12vuUJL+DnbXDyxEl2yIi\nIrlQSkoK77//PjExMSQnJ9OvXz9KlCjB+PHjsbOzw9HRkcmTJ1O0aFEmTJjA3r17KViwIABBQUE4\nODgwdOhQLl26RMGCBZk8eTJubm7s37+fiRMnYmdnh5+fH2+99ZaVWypyI8le98c5Zqw/xp/n46hQ\n3JnZATVpVe0p7Gxz73jsu6FkW0REJBf64YcfcHV1ZerUqVy5coV27dpRqlQpRo8eTeXKlVm6dCnz\n589n5MiRHD58mC+//BI3Nzfz8QsWLMDDw4OBAweyZs0agoKCGDVqFIGBgcyePZvSpUvzxhtv8Mcf\nf+Dl5WXFlsrjzDAM1v9xnhmhx4g8e41nihbk05dr8KJ3iUc+yU6nZFtERCQXatmyJf7+/sCNhMTO\nzo7p06dTvHhxANLS0siXLx8mk4moqCjGjBlDbGwsHTt2pGPHjkRERNCnTx8AGjZsSFBQEPHx8SQn\nJ1OmTBkA/Pz82Llzp5JtsYqIqMtMXBPJ3tNXKPtEAaZ3rk6b6iWsssqjJSnZFhERyYXSh4TEx8cz\naNAgBg8ebE609+7dy6JFi1i8eDEJCQl0796dV199lbS0NHr27EnVqlWJj4/HxcXFXFdcXBzx8fE4\nOztneI7o6Ogsnz8yMtLCLbSsxMREtSGXuLUdf19L4eu9l9kRdZ0iTnYMql+UFhVcsLON49jRP60Y\nqWUo2RYREcmlzp49y4ABA+jatSutW7cG4Oeff2bu3Ll88cUXuLm5mRNsJycnAHx9fTly5AjOzs5c\nv34dgOvXr1OoUKEM227enpXKlStbuHWWFRkZqTbkEuntuHw9mVkbjrF41xkc7GwZ3Kwirzd4Jlcu\nRHOriIiIHB+bt/rpRURE8ojY2Fh69+7N0KFD6dixIwCrV69m0aJFLFy4kNKlSwNw6tQpAgICSEtL\nIyUlhb1791KlShV8fHzYsmULAFu3bqVWrVo4Ozvj4ODA6dOnMQyD7du3U7t2bau1UR4PaSaDb3ac\npNHUTXwbdoqOtUqz+b3nGdzM45FItO9X3m+hiIjII2jevHlcu3aNoKAggoKCSEtL49ixY5QoUYKB\nAwcCUKdOHQYNGkTbtm3p3LkzDg4OtG3blooVK1KqVCmGDx9OQEAADg4OTJs2DYBx48bx3nvvkZaW\nhp+fH9WrV7dmMyWP23PqMkN/iuHkP8k0qFiU0S964eHuYu2wHiol2yIiIrnQqFGjGDVq1F2V7dOn\nj/lmyHROTk7MmjUrU9kaNWoQEhLyQGIUyU5sfBIf/3yE5XvPULSAHXO7+dCy6pO5ell1S1GyLSIi\nIiIPRJrJYPGuKKau/ZPElDT6PV+eFiXSqFntKWuHZjVKtkVERETkvv11IY5h3x9k7+kr+FUoyri2\nVShfzDlPzKhyP5Rsi4iIiEiOpaSZ+HzLcWZt+IuC+eyY2aUGbWuUeCyHjGTFYrORHDhwgB49egAQ\nFRVFQEAAXbt2JTAwEJPJZC5nMpno06cPS5YsAW7MxThw4EC6du3K66+/zuXLly0Voohk4+br92Yb\nN26kQ4cOdOnSJdOYz0uXLtGoUSOOHz/+sMIUEREr+z3mKm3m7OCTdUdpUcWd9e80ol3Nkkq0b2KR\nZHv+/PmMGjWKpKQkAD7++GMGDx5McHAwhmGwYcMGc9mZM2dy7do18+MlS5bg4eFBcHAw7dq1Iygo\nyBIhikg2br1+06WkpPDxxx/z9ddfs3DhQpYtW0ZsbKx535gxY8ifP781QhYRkYcsNc3EzNCjtP1s\nB5fik/iiRy3mdPWhqHM+a4eW61hkGEmZMmWYPXs2w4YNA+Dw4cPUrVsXuLFk7I4dO2jevDm//vor\nNjY2NGjQwHxsVsvLZudRHwOUV1eGehTlhTY8KLdev+mOHz9OmTJlKFy4MAC1atXit99+44UXXmDy\n5Mm8/PLLfPHFF7et+1E/x3nhfaI2iMj9Ohl7ncHL9nMg+grta5YksE0VCjs5WDusXMsiyba/vz9n\nzpwxPzYMw/xzQvqSsUePHuWnn35i1qxZfPbZZ+ayWS0vm51HfVWlvLYy1KMsL7Thfla3utmt12+6\nm69NuHF9xsfHs2LFCtzc3GjQoMEdk+1H/RznhfeJ2pA7PKjrVeRhMgyD4N2nmfBTJI72tnzW1Yf/\neD++s4zcrYdyg6St7f9Gq6QvDbtq1SrOnz9Pr169iImJwcHBgZIlS2a5vKyIWF9Wyzy7uLiwcOFC\nbGxsCAsLIzIykuHDhzN37lyKFStmxWhFRORBuhSfxNDvD7LxyAUaVCzK1I7VebKwhg7ejYeSbHt5\nebFr1y7q1avH1q1b8fX1pVWrVub9s2fPpmjRojRs2JC//vqLLVu24O3tbV5eVkSsr3z58kRFRXHl\nyhUKFCjAnj17eO2112jZsqW5TI8ePRg7dqwSbRGRPGT3ycsMWrKPywnJjG3tRc/6T2Nrqxsg79ZD\nSbaHDx/O6NGjmT59Os888wz+/v7Zlg0ICMhyeVkRsY4ff/yRhIQEunTpwogRI3jttdcwDIMOHTrg\n7u5u7fBERMRCTCaDuVuOM339UUoXcWJFv2epWrKwtcN65Fgs2S5VqpR5arBy5cqxaNGibMsOHDjQ\n/P/slpcVkYfn5uu3devW5u1NmjShSZMm2R63cOFCi8cmIiKWdyk+iSEhB9h69CIvej/Fx+2r4ZJf\nN0HmhBa1ERERERGz/dFX6LswgssJyUx8qSpd65bRvNn3Qcm2iIiIiAAQ8ls0o1b9TvFC+VjZ/1mq\nlNCwkfulZFtERETkMZeSZmL8T3/wbVgUfhWKMjugJkUKOlo7rDxBybaIiIjIY+xiXBIDFu9l96nL\nvNHwGYb5e2JvZ5FFxh9LSrZFREREHlNHzl2j94LfuJyQzKcv16BtjZLWDinPUbItIiIi8hja/OcF\n3greR8F8dnzfV9P6WYqSbREREZHHzKLwKAJ/OIynuwtfvVKbpwo7WTukPEvJtoiIiMhjwmQy+PiX\nSOZvO0mTSsWZFVAT53xKBy1JZ1dERETkMZCYksaQZfv55fdz9KpfltEveulGyIdAybaIiIhIHheX\nmMIb30YQduISo/5TmT4NnrF2SI8NJdsiIiIieVhsfBKvLNjNkbNxzOhSnZdqlrJ2SI8VJdsiIiIi\nedSZfxLo+dVu/r76L/N71qZxpeLWDumxo2RbREREJA86dj6OHl/tJiE5lUWv1aP2027WDumxpGRb\nREREJI/54+9rdP9qF/a2NoT0rU+lJwtZO6THlpJtERERkTzk95irdP9qF04Odix53Zenixa0dkiP\nNc33IiIiIpJHHDxzha7zwynoaM+yN+or0c4F1LMtIiIikgfsO/0PPb/ejWsBB4L7+FLarYC1QxKU\nbIuIiIg88iKi/qHX17t5wtmR4Nd9Kemq5ddzCyXbIiIiuVBKSgrvv/8+MTExJCcn069fPypUqMCI\nESOwsbGhYsWKBAYGYmtrS0hICEuXLsXe3p5+/frRuHFjEhMTGTp0KJcuXaJgwYJMnjwZNzc39u/f\nz8SJE7Gzs8PPz4+33nrL2k2V+/R7zFVe+Xo3RZ0dWfKGL08VVqKdm2jMtoiISC70ww8/4OrqSnBw\nMF9++SXjx4/n448/ZvDgwQQHB2MYBhs2bODixYssXLiQpUuX8tVXXzF9+nSSk5NZsmQJHh4eBAcH\n065dO4KCggAIDAxk2rRpLFmyhAMHDvDHH39YuaVyP46ej6PHV7so5ORA8OtKtHMj9WyLiIjkQi1b\ntsTf3x8AwzCws7Pj8OHD1K1bF4CGDRuyY8cObG1tqVmzJo6Ojjg6OlKmTBmOHDlCREQEffr0MZcN\nCgoiPj6e5ORkypQpA4Cfnx87d+7Ey8sr0/NHRkY+pJZaRmJiYp5vw9/XUhj669/YAB82LsrVs6e4\nevahhXfX8sJrcT+UbIuIiORCBQvemEUiPj6eQYMGMXjwYCZPnoyNjY15f1xcHPHx8bi4uGQ4Lj4+\nPsP2m8s6OztnKBsdHZ3l81euXNlSTXsoIiMj83Qb/r7yL31Wh2HY2BLyZn0qurtkWS43yAuvRURE\nRI6P1TASERGRXOrs2bP07NmTtm3b0rp1a2xt//exff36dQoVKoSzszPXr1/PsN3FxSXD9tuVLVRI\ni508ai7GJdH9y11c+zeFha/Vy9WJtijZFhERyZViY2Pp3bs3Q4cOpWPHjgB4eXmxa9cuALZu3Urt\n2rXx9vYmIiKCpKQk4uLiOH78OB4eHvj4+LBlyxZz2Vq1auHs7IyDgwOnT5/GMAy2b99O7dq1rdZG\nuXfxSam8smA3Z68m8k3vOlQtWdjaIckdaBiJiIhILjRv3jyuXbtGUFCQ+ebGDz74gAkTJjB9+nSe\neeYZ/P39sbOzo0ePHnTt2hXDMBgyZAj58uUjICCA4cOHExAQgIODA9OmTQNg3LhxvPfee6SlpeHn\n50f16tWt2Uy5B8mpJvotiuDIuTi+7FWbWmXdrB2S3AUl2yIiIrnQqFGjGDVqVKbtixYtyrStc+fO\ndO7cOcM2JycnZs2alalsjRo1CAkJeXCBykNhGAYjlh9k27FYpnT0prFncWuHJHdJw0hEREREcrmp\na/9kxb4Y3m3uQefapa0djtwDJdsiIiIiudi3YacI2nycrvXK8FaTCtYOR+6Rkm0RERGRXGrd4XME\n/nCYZpXd+bBNFfPUj/Lo0JhtERERkVzo+OUkhv66H+9SrswOqIm9nfpIH0V61URERERymQtxiYzb\neA7XAg7M71ELJ0c7a4ckOaSebREREZFcJDEljTcXRnAtycTy3rUpXii/tUOS+6CebREREZFcIn2K\nv32nrzDUr7gWrckD1LMtIiIikksEbT7Oqv1/M9Tfk+eeTLF2OPIAqGdbREREJBdY/8d5pq79k3Y1\nStD/+fLWDkceECXbIiIiIlZ24mI87yzbj3epwkzq4K0p/vIQJdsiIiIiVpSQnErfRRHY29kwt3st\n8jto5pG8RGO2RURERKzkxg2Rh/jrQjzf9q5HSVcna4ckD5h6tkVERESsZMGOU/xw4G/ebeGJX8Wi\n1g5HLEDJtoiIiIgV7D55mY9+jqS5lzv9GumGyLxKybaIiIjIQ3YhLpEBwXsp7VaAaZ2rY2urGyLz\nKo3ZFhEREXmI0kwGg5fuJy4xhUWv1aNQfgdrhyQWpGRbRERE5CGat+U4O49fYnKHang+6WLtcMTC\nNIxERERE5CHZc+oy09cfpXX1EnSuXdra4chDoGRbRERE5CG4kpDM20v3U9LViYkvVdXCNY8JiyXb\nBw4coEePHgBERUUREBBA165dCQwMxGQyAfDNN9/QqVMnOnXqxJw5cwBITExk4MCBdO3alddff53L\nly9bKkQRycbN1+/NNm7cSIcOHejSpQshISEApKSkMHToULp27UrHjh3ZsGHDww5XRCTXMwyD4csP\ncv5aIrMDamqc9mPEImO258+fzw8//ICT042J2T/++GMGDx5MvXr1GDNmDBs2bKBSpUr88MMPfPfd\nd9ja2hIQEECzZs0ICwvDw8ODgQMHsmbNGoKCghg1apQlwhSRLNx6/aZLSUnh448/5vvvv8fJyYmA\ngACaNGnCli1bcHV1ZerUqVy5coV27drRtGlTK0UvIpI7LQqPYu3h83zQqjLVS7taOxx5iCzSs12m\nTBlmz55tfnz48GHq1q0LQMOGDdm5cydPPvkkX375JXZ2dtjY2JCamkq+fPmIiIigQYMG5rJhYWGW\nCFFEsnHr9Zvu+PHjlClThsKFC+Po6EitWrX47bffaNmyJW+//TZwo+fGzk7LDIuI3OzPc3GMXxPJ\n857FeM2vnLXDkYfMIj3b/v7+nDlzxvzYMAzzuKSCBQsSFxeHg4MDbm5uGIbBlClT8PLyoly5csTH\nx+Pi4pKhbHYiIyMtEf5Dk5iY+Mi3AfJGO/JCGx6UW6/fdDdfm3Dj+oyPj6dgwYLm/YMGDWLw4MHZ\n1v2on+O88D5RG0QerqTUNAYv20+h/PZ80knzaT+OHsrUf7a2/+tAv379OoUKFQIgKSmJ999/n4IF\nCxIYGAiAs7Mz169fz1Q2K5UrV7Zg1JYXGRn5yLcB8kY78kIbIiIiLFr/zdcm3Lg+05Pvs2fPMmDA\nALp27Urr1q2zreNRP8d54X2iNuQOlr5eJfeYGXqMyLPX+LJnbYo657N2OGIFD2U2Ei8vL3bt2gXA\n1q1bqV27NoZh0L9/fzw9Pfnwww/NPz37+PiwZcsWc9latWo9jBBF5A7Kly9PVFQUV65cITk5mT17\n9lCzZk1iY2Pp3bs3Q4cOpWPHjtYOU0Qk19hz6jKfbzlOl9qlaeblbu1wxEoeSs/28OHDGT16NNOn\nT+eZZ57B39+f0NBQdu/eTXJyMtu2bQPgnXfeISAggOHDhxMQEICDgwPTpk17GCGKSDZ+/PFHEhIS\n6NKlCyNGjOC1117DMAw6dOiAu7s7EyZM4Nq1awQFBREUFATcuMkyf/78Vo5cRMR6riel8k7IAUq4\nOjG6tZe1wxErsliyXapUKfPUYOXKlWPRokUZ9jdv3pxDhw5leeysWbMsFZaI3IWbr9+bh4U0adKE\nJk2aZCg7atQozRgkInKLCWsiif4ngWVv1Mc5nxbsfpxpURsRERGRB2jTkQss2X2aNxo8Q91ybtYO\nR6xMX7VERERyqQMHDvDJJ5+wcOFChgwZQmxsLAAxMTFUr16dGTNmMGHCBPbu3WueGSgoKAgHBweG\nDh3KpUuXKFiwIJMnT8bNzY39+/czceJE7Ozs8PPz46233rJm8/Kkf64nM2z5QSo96cI7LTysHY7k\nAkq2RUREcqFbF5iaMWMGAFevXqVnz56MHDkSuLGWxZdffomb2/96UBcsWJDlAnGBgYHMnj2b0qVL\n88Ybb/DHH3/g5aXxxA/S+DV/8M/1ZL55tQ757LXugCjZFhERyZXSF5gaNmxYhu2zZ8+me/fuFC9e\nHJPJRFRUFGPGjCE2NpaOHTvSsWNHIiIi6NOnD3BjgbigoCDi4+NJTk6mTJkyAPj5+bFz585sk+1H\nfS5za8zHvicmgRV7zxHg7Yrt1b+JvPr3fdWXV+aUzyvtyCkl2yIiIrlQVgtMXbp0ibCwMHOvdkJC\nAt27d+fVV18lLS2Nnj17UrVq1SwXiIuPj8fZ2dlcV8GCBYmOjs72+R/1ucwf9nzs8Ump9Fm9lQrF\nnRnb2feB9GrnhTnlIW+0437mxleyLSIi8oj49ddfefHFF81rUzg5OdGzZ0/zUBNfX1+OHDmS5QJx\nWS1MdbuF4+TeTPn1CH9f/Zfv+z6r4SOSgWYjEREReUSEhYXRsGFD8+NTp04REBBAWloaKSkp7N27\nlypVqmS5QJyzszMODg6cPn0awzDYvn07tWvXtlZT8pTdJy/zbVgUrzz7NLXKFrF2OJLLqGdbRETk\nEXHy5ElKly5tfly+fHnatm1L586dcXBwoG3btlSsWJFSpUpluUDcuHHjeO+990hLS8PPz4/q1atb\nqyl5RmJKGiOWH6RUESfea+Fp7XAkF1KyLSIikkvdvMAUwJo1azKV6dOnj/lmyHROTk5ZLhBXo0aN\nDPXJ/Zu14RgnYq+z8LW6FNTiNZIFDSMRERERyYHIs9f4fOsJOtYqRYOKxawdjuRSSrZFRERE7pHJ\nZDBq1e8UdnJg1H8e7Zk2xLKUbIuIiIjco+8ioomI+oeRL1TCtYCjtcORXEzJtoiIiMg9uHw9mY9/\nOUKdp4vQwaeUtcORXE7JtoiIiMg9mPzLEeITU5nQrhq2tjbWDkdyOSXbIiIiIndpz6nLLNsTzWt+\n5eqWrhsAACAASURBVPB80sXa4cgjQMm2iIiIyF1ITTMxatXvlCicn0FNK1o7HHlEKNkWERERuQvf\n7DzFkXNxjGldRXNqy11Tsi0iIiJyB+evJTJj/VGaVCqOfxV3a4cjjxAl2yIiIiJ3MOXXP0lJMwhs\n7YWNjW6KlLunZFtERETkNvZHX2H53jP09itH2ScKWjscecQo2RYRERHJhslkMPaHwxRzycdbTSpY\nOxx5BCnZFhEREcnG6gMx7I++wjB/T5x1U6TkgJJtERERkSxcT0pl0i9H8C5VWCtFSo4p2RYRERHJ\nwrwtxzl/LYnA1lW0UqTkmJJtERERkVtEX07g860naFejBLXKFrF2OPIIU7ItIiIicouPf4nEzsaG\n4S9UsnYo8ohTsi0iIvJ/7N17fIx3+v/x1+SIHETq0BYhQZSoQ6iyzlpLbdWpQmJ1W9rFolstdahj\nnbulS7d62h72G4fIorp+Ve2iWKSq0YSQaCUaiTNxyCSSSTL37w9rVipByWQmyfv5eHg8zD333HNd\nyVyTa+753J+PyA1iUzPYdPA0o7o04IGqlR0djpRxarZFRERE/sswDOZvSqKGjycvdA50dDhSDqjZ\nFhEREfmvrw6dITb1Ii/3CKaKh6b6k3unZltEREQEyCuw8sbmJBrW9GZQa031JyVDzbaIiIgIsGZf\nGinns5jU6yHcXNUiScnQK0lEREQqvKzcfP665Sfa1vfn8SY1HR2OlCNqtkVERKTC+/A/KZw35zKl\n90OYTFrARkqOmm0RERGp0M5m5vDBzhR6P3w/rQK0gI2ULDXbIiIiUqEt3fITlnwrE3tqARspeWq2\nRUREpMJKvZDFmn1phLcNILC6l6PDkXLojpptq9VKQUEB33//PRaLxd4xiYiIiJSKpVt+ws3VxLju\nDR0dipRTt52tfd68eTRo0ICTJ09y6NAhqlevzqJFi0ojNhERkQotPj6eN998k8jISA4fPszIkSOp\nX78+AOHh4fTu3Zvo6GiioqJwc3Nj9OjRdOvWjZycHCZOnMiFCxfw8vJi0aJF+Pv7ExcXx7x583B1\ndaVjx46MHTvWsQk62E9nMvks7gR/7BRETd9Kjg5Hyqnbntk+ePAgQ4YM4YcffuCjjz7i9OnTpRGX\niIhIhfbhhx8ybdo0cnNzATh06BDPPfcckZGRREZG0rt3b86dO0dkZCRRUVF89NFHLFmyBIvFwurV\nqwkODmbVqlX069eP5cuXAzBz5kwWL17M6tWriY+P5/Dhw45M0eHe2vIjXh5ujOzSwNGhSDl222bb\narWSkJBAnTp1sFgsZGVllUZcIiIiFVpAQABvv/227XZCQgLbt29n6NChTJ06FbPZzIEDB2jVqhUe\nHh74+PgQEBBAUlISsbGxdOrUCYDOnTsTExOD2WzGYrEQEBCAyWSiY8eO7Nmzx1HpOVzCictsOnia\n4R0D8ffycHQ4Uo7ddhhJ3759mT17NvPnz+cvf/kLgwcPLo24REREKrSePXuSnp5uu928eXMGDRpE\ns2bNePfdd3nnnXd46KGH8PHxse3j5eWF2WzGbDbbtnt5eZGZmYnZbMbb27vQvmlpacU+f2Jioh2y\nKj05OTm3zOH1rafx9nChc808p831djmUFeUlj7t122Z76NChPPXUU5w4cYLx48dTpUqV0ohLRERE\nbtCjRw98fX1t/58zZw5t2rQp9I1zVlYWPj4+eHt727ZnZWXh6+tbaNuN24vTpEkTO2VSOhITE4vN\nITb1It+lp/Bqr8a0aeG8F0beKoeypDzkERsbe9ePve0wkq+++ophw4YxceJEPvnkE9u4LxERESk9\nI0aM4MCBAwDExMQQEhJC8+bNiY2NJTc3l8zMTJKTkwkODiY0NJQdO3YAsHPnTlq3bo23tzfu7u4c\nP34cwzDYtWsXbdq0cWRKDrP46yNU9/bg2d/Ud3QoUgHc9sz2J598QnR0NCNGjOBPf/oTAwcO5E9/\n+lNpxCYiIiL/NWvWLObMmYO7uzvVq1dnzpw5eHt7M2zYMCIiIjAMg/Hjx+Pp6Ul4eDiTJk0iPDwc\nd3d3Fi9eDMDs2bOZMGECBQUFdOzYkRYtWjg4q9K35+h59iRfYMaTTanicds2SOSe3fZV5urqioeH\nByaTCZPJROXKlUsjLhERkQqvTp06REdHAxASEkJUVNRN+4SFhREWFlZoW+XKlVm2bNlN+7Zs2dJ2\nvIrIMAwW//tH7vetRMSjAY4ORyqI2w4jad26NS+//DJnzpxhxowZPPzww6URl4iIiEiJikm+QGzq\nRcZ0a0Ald1dHhyMVxG2b7Zdffpl+/foxaNAgunXrxuTJk+/owPHx8QwbNgyA1NRUwsPDiYiIYObM\nmVitVgCio6MZMGAAYWFhfPPNN8C1K1bHjRtHREQEL7zwAhkZGXebm4jcpRvr90bbtm1j4MCBDB48\n2HZ2zGq1MmPGDAYPHsywYcNITU0t7XBFRO7I0q0/UcvXk0Ft6jo6FKlAbttsb9iwgYyMDKpXr87l\ny5fZsGHDbQ/6y4n4FyxYwEsvvcSqVaswDIOtW7f+6on4RaR0/LJ+r8vLy2PBggV8/PHHREZGsmbN\nGs6fP8+WLVuwWCysWbOGV155hYULFzoochGR4u1NucDeYxmM6qKz2lK6bjtmOzk5Gbg2zikxMRE/\nPz/69et3y8dcn4j/1VdfBa6tetW2bVvg2uT6u3fvxsXFxTYRv4eHR6GJ+J9//nnbvrdqtge/H3Nn\nWTqp7Oxsquy85Ogw7ll5yKM85PBqm5JZlOGX9XtdcnIyAQEBVK1aFbg2xGzfvn3ExcXZFs9o2bIl\nCQkJxR5bNet4ysE5lFS9yp17e9tRqnt7Et5WY7WldN222X7llVds/zcMg5EjR972oL+ciN8wDEwm\nE1B4cv07nYi/ONnZ2beNxZlZrdYynwOUjzzKQw5QMn+8f1m/192qZm9cKMPV1ZX8/Hzc3G5+eynr\nP+Py8DpRDs5CzXZpik3NYNfR87zWu4nOakupu22zbbFYbP8/d+5ckX+Eb8fF5X+jVW41uX5xE/EX\nZ+P4x351LM6kPEzyDuUjj/KQw71MuH8n7qRm4VojVFSjDapZZ6AcnIO961UKW7b1KP5eHgxtp7Pa\nUvpuO2a7V69ePPHEE/Tq1YsXXniBESNG/Oonadq0KXv37gWuTa7fpk2bXzURv4g4XoMGDUhNTeXS\npUtYLBa+//57WrVqRWhoKDt37gQgLi6O4OBgB0cqIvI/8WmX2PHjOZ7vFKh5tcUhbvuq27Zt2z0/\nyaRJk5g+fTpLliwhKCiInj174urq+qsm4hcRx9i4cSPZ2dkMHjyYyZMnM2LECAzDYODAgdSqVYse\nPXqwe/duhgwZgmEYzJ8/39Ehi4jYvL3tJ/yquPNM+/qODkUqqGKb7cGDB9vGWf9SUZPq/9KNE/EH\nBgayYsWKm/b5NRPxi0jpubF++/TpY9vevXt3unfvXmhfFxcXXn/99VKNT0TkTiScuMyWxLO80iMY\nb0+d1RbHKPaVt2TJktKMQ0RERKREvfPNUXwqufGHDvUdHYpUYMU227Vr1wauLUizefNm8vLyADh7\n9qzOYomIiIhTS79sYfOh04zp2hDfSu6ODkcqsNteIHl96r/9+/eTnp7OpUtle25TERERKf/WHrqM\nh6sLz+qstjjYbZvtKlWqMHLkSGrVqsXChQs5f/58acQlIiIicldOX85ha3ImYW3qUt3b09HhSAV3\n22bbZDJx7tw5srKyyM7OLgcLCYiIiEh59vHuY1gN+GPnIEeHIlJ8s7127VpycnIYO3YsW7ZsoW/f\nvjz++OO0b9++NOMTERERuWOXs/NY+W0qnet7Ude/iqPDESn+AskjR47w/vvv06FDB4YMGcJDDz3E\nY4+V7dXfREREpHxbsTeVLEsBg5r5OToUEeAWZ7Zfe+01Nm3aRLt27ViyZAlDhgzhn//8J1evXi3N\n+ERERETuSE5eAR/vOkaX4BoE+WustjiHW47Zdnd3p1evXnzwwQcsXbqU1NRUunbtWkqhiYiIiNy5\nf36fxoUsC6O7NnB0KCI2t11OKTc3l3//+99s2LCBrKwsJk6cWBpxiYiIiNyx/AIrH/wnhVYBfjwa\n6E9S0llHhyQC3KLZ3rt3Lxs2bGDv3r089thjvPrqqwQHB5dmbCIiIiJ35IuDp0jLuMq03zXFZDI5\nOhwRm2Kb7b/97W+EhYUxe/ZsPDw8SjMmERERkTtmGAYf/ieFoBpe9GhSy9HhiBRSbLMdGRlZmnGI\niIiI3JW9xzJIOHGF+f0fxsVFZ7XFudx2URsRERERZ/b3/xzD38uDAaG1HR2KyE3UbIuIiEiZlXLO\nzNakM/y+XT0qubs6OhyRm6jZFhERkTLr493HcHdxYVi7eo4ORaRIarZFRESkTLqYZWFtbDr9Wj1I\nDR8tYiPOSc22iIiIlEmrvjtOTp6VER2DHB2KSLHUbIuIiEiZk5tfwKd7fqZzcA0a3+/j6HBEinXb\nFSRFRETEMeLj43nzzTeJjIwkMTGROXPm4OrqioeHB4sWLaJ69erMnTuX/fv34+XlBcDy5ctxd3dn\n4sSJXLhwAS8vLxYtWoS/vz9xcXHMmzcPV1dXOnbsyNixYx2c4d37f/GnOJeZy+JBgY4OReSWdGZb\nRETECX344YdMmzaN3NxcAObNm8f06dOJjIykR48efPjhhwAcOnSIv//970RGRhIZGYmPjw+rV68m\nODiYVatW0a9fP5YvXw7AzJkzWbx4MatXryY+Pp7Dhw87LL97cX0Rm+Ba3nRqVN3R4YjckpptERER\nJxQQEMDbb79tu71kyRKaNGkCQEFBAZ6enlitVlJTU5kxYwZDhgxh7dq1AMTGxtKpUycAOnfuTExM\nDGazGYvFQkBAACaTiY4dO7Jnz57ST6wE7Em+QNLpTJ7vGKSl2cXpaRiJiIiIE+rZsyfp6em22zVr\n1gRg//79rFixgpUrV5Kdnc3vf/97nnvuOQoKCnjmmWdo1qwZZrMZH59r45i9vLzIzMzEbDbj7e1t\nO56XlxdpaWnFPn9iYqKdMrt3S7eexq+SK40rXyk2zpycHKfO4U6Uhxyg/ORxt9Rsi4iIlBGbNm3i\n3Xff5YMPPsDf39/WYFeuXBmAdu3akZSUhLe3N1lZWQBkZWXh6+tbaNuN24tz/Sy6szl+IZt9J1IY\n160hLZo1Lna/xMREp83hTpWHHKB85BEbG3vXj9UwEhERkTLg888/Z8WKFURGRlK3bl0Afv75Z8LD\nwykoKCAvL4/9+/cTEhJCaGgoO3bsAGDnzp20bt0ab29v3N3dOX78OIZhsGvXLtq0aePIlO7K/8X8\njKvJxFAtYiNlhM5si4iIOLmCggLmzZvHAw88wLhx4wB45JFHePHFF+nbty9hYWG4u7vTt29fGjVq\nRJ06dZg0aRLh4eG4u7uzePFiAGbPns2ECRMoKCigY8eOtGjRwpFp/WpZufms+T6NXs3up5ZvJUeH\nI3JH1GyLiIg4qTp16hAdHQ3Ad999V+Q+zz//PM8//3yhbZUrV2bZsmU37duyZUvb8cqiz344QWZO\nPs91qO/oUETumIaRiIiIiNMzDIP/i/mZZrV9CQ2o5uhwRO6Ymm0RERFxejHJF/jxjJk/tK+v6f6k\nTFGzLSIiIk7v0z0/4+/lQZ8WDzo6FJFfRc22iIiIOLW0jGy2JJ4hvG1dKrm7OjockV9FzbaIiIg4\ntRXfpmIymfi9pvuTMkjNtoiIiDitq5YCoval0TOkFg9UrezocER+NTXbIiIi4rT+FX+Cy1fz+EP7\n+o4OReSuqNkWERERp2QYBpHfptK4lg9tA/0dHY7IXVGzLSIiIk4pPv0yCSeu8Pt2AZruT8osNdsi\nIiLilFZ+m0oVD1f6tart6FBE7pqabREREXE6l7Pz2HjgJP1a1cankrujwxG5a2q2RURExOms3Z9O\nTp6VoY8GODoUkXuiZltEREScimEYrNybSqsAP0IerOrocETuiZptERERcSoxKRdIOZfF0Ee1iI2U\nfWq2RURExKms3HucqpXdebL5A44OReSeqdkWERERp3E2M4evEk4zqHUdKrm7OjockXumZltERESc\nRvS+NPKtBhG6MFLKCTXbIiIi4hQKrAarv0ujQ8P7CKrh7ehwREqEmm0RERFxCtuPnOXEpau6MFLK\nFbfSeiKLxcKUKVNIS0vD29ubGTNmcPXqVWbOnImrqyv169dn3rx5uLi4EB0dTVRUFG5ubowePZpu\n3bqVVpgiFZrVamXWrFkcOXIEDw8P5s6dS716//ujt2HDBj766CN8fHzo378/gwYNIi8vj8mTJ3Pi\nxAlcXFyYM2cODRo0cGAWIlJWrfg2lZo+nvRoWsvRoYiUmFJrtqOjo6lSpQrR0dGkpKQwZ84cKlWq\nxJgxY+jSpQuvvPIK27dv5+GHHyYyMpJ169aRm5tLREQEHTp0wMPDo7RCFamwtmzZgsViYc2aNcTF\nxbFw4ULeffddADIyMli2bBnr16/H19eXZ599lvbt25OUlER+fj5RUVHs3r2bv/71r7z99tsOzkRE\nypq0jGy2/3iOcd0a4u6qL96l/Ci1V/PRo0fp3LkzAEFBQSQnJ9OkSRMuXbqEYRhkZWXh5ubGgQMH\naNWqFR4eHvj4+BAQEEBSUlJphSlSocXGxtKpUycAWrZsSUJCgu2+9PR0GjdujJ+fHy4uLjz88MPE\nx8cTGBhIQUEBVqsVs9mMm1upfYYXkXJkzb40TMDgtrowUsqXUvur2KRJE7755hsef/xx4uPjOXPm\nDAEBAcydO5d3330XHx8fHn30UTZv3oyPj4/tcV5eXpjN5iKPmZiYWFrh20VOTk6ZzwHKRx7lIYeS\nYDab8fb+30VJrq6u5Ofn4+bmRr169Th69Cjnz5/Hy8uLmJgY6tevT5UqVThx4gRPPPEEFy9e5L33\n3iv2+GX9Z1weXifKQZxRfoGVf8am0SW4BrX9Kjs6HJESVWrN9sCBA0lOTiYiIoLQ0FBCQkJYsGAB\nK1eupFGjRqxcuZKFCxfSsWNHsrKybI/Lysoq1HzfqEmTJqUVvl0kJiaW+RygfORRHnKIjY2952N4\ne3sXqj+r1Wo7U121alWmTJnCuHHj8PPzIyQkhGrVqvHpp5/SsWNHXnnlFU6dOsUf/vAHNm7ciKen\n503HL+s/4/LwOlEOzqEk6rU82fHjOc5cyWX2UzqrLeVPqQ0jOXjwIO3bt2f16tX06tWLunXrUrVq\nVdtZtJo1a3LlyhWaN29ObGwsubm5ZGZmkpycTHBwcGmFKVKhhYaGsnPnTgDi4uIK1V5+fj6HDx9m\n1apVLF26lJSUFEJDQ/H19bV9IK5atSr5+fkUFBQ4JH4RKZtWf5dGdW9PHmtS09GhiJS4UjuzXa9e\nPZYuXcp7772Hj48P8+bNIy0tjfHjx+Pm5oa7uztz5syhRo0aDBs2jIiICAzDYPz48UWeIRORktej\nRw92797NkCFDMAyD+fPns3HjRrKzsxk8eDAA/fv3x9PTk+eeew5/f3+effZZpk6dSkREBHl5eYwf\nP54qVao4OBMRKSvOXMnhmyNneaFTkC6MlHKp1Jptf39/Pv3000LbatWqRVRU1E37hoWFERYWVkqR\nich1Li4uvP7664W23TiN39ixYxk7dmyh+728vFi6dGmpxCci5c/a2HQKrAaDH6nr6FBE7EIfIUVE\nRMQhrFaDNfvSaBfkT2B1L0eHI2IXarZFREScVHx8PMOGDQMgNTWV8PBwIiIimDlzJlarFbi2jsWA\nAQMICwvjm2++Aa7N2DJu3DgiIiJ44YUXyMjIAK5dizFo0CCGDBnC3/72N8ckdYNvUy5wPCObIY/o\nwkgpv9Rsi4iIOKEPP/yQadOmkZubC8CCBQt46aWXWLVqFYZhsHXrVs6dO0dkZCRRUVF89NFHLFmy\nBIvFwurVqwkODmbVqlX069eP5cuXAzBz5kwWL17M6tWriY+P5/Dhw45Mkah9aVSt7E6vZvc7NA4R\ne1KzLSIi4oQCAgIKrcZ66NAh2rZtC0Dnzp3Zs2dPsQvB3bhAVefOnYmJicFsNmOxWAgICMBkMtGx\nY0f27NnjkNwALmZZ2Jxwmv6talPJ3dVhcYjYm5Z6ExERcUI9e/YkPT3ddtswDEwmE3DtwuTMzEzM\nZnORC8HduP3GfW9ctMrLy4u0tLRin9/eCwdtOHwZS4GVtvfl2eW5ysPiR+UhByg/edwtNdsiIiJl\ngIvL/76MzsrKwtfX96aFqK4vBHfj9lvt6+vrW+zz2XPhIMMw2L75P7So60fvDi3t8hzlYfGj8pAD\nlI887mUhKg0jERERKQOaNm3K3r17Adi5cydt2rQpdiG40NBQduzYYdu3devWeHt74+7uzvHjxzEM\ng127dtGmTRuH5BKXdokjZzIZoun+pALQmW0REZEyYNKkSUyfPp0lS5YQFBREz549cXV1LXIhuPDw\ncCZNmkR4eDju7u4sXrwYgNmzZzNhwgQKCgro2LEjLVq0cEguUd+lUcXDlT4tHnTI84uUJjXbIiIi\nTqpOnTpER0cDEBgYyIoVK27ap6iF4CpXrsyyZctu2rdly5a24zmKOTefjQdO0qf5g3h7qg2R8k/D\nSERERKTUbDpwimxLAWEaQiIVhJptERERKTVr96cTVN2L0AA/R4ciUirUbIuIiEipSMvI5rtjGQxs\nXcc2jaFIeadmW0RERErF+v0nMJmgX6vajg5FpNSo2RYRERG7MwyD9T+k0z7oPmr7VXZ0OCKlRs22\niIiI2F1s6kVSL2QzMLSOo0MRKVVqtkVERMTu1u0/QRUPV3o1u9/RoYiUKjXbIiIiYlc5eQX8vwMn\n6dXsfrw0t7ZUMGq2RURExK62JJ4hMydfQ0ikQlKzLSIiIna1LjadB6tWon3QfY4ORaTUqdkWERER\nuzmbmcPOn87Tr1VtXFw0t7ZUPGq2RURExG7+FXeSAqvBAA0hkQpKzbaIiIjYzbr9J2hR14+GNb0d\nHYqIQ6jZFhEREbs4fPIKiaeu8HSoVoyUikvNtoiIiNjF+v3puLuaeLL5g44ORcRh1GyLiIhIicsv\nsLIh7iSPPVSLal4ejg5HxGHUbIuIiEiJ2/nTOc6bcxmgISRSwanZFhERkRK3bv8J/L086Nq4pqND\nEXEoNdsiIiJSoi5n5/Hvw2d4qsWDeLip1ZCKTRUgIiIiJeqLg6ew5Fu1PLsIarZFRESkhK3bn06j\nmt40q+3r6FBEHE7NtoiIiJSYn89nEZt6kYGt62AyaXl2ETXbIiIiUmLW70/HxQT9WmoWEhFQsy0i\nIiIlxGo1WP/DCTo0rM79VSs5OhwRp6BmW0RERErEdz9nkH7xqi6MFLmBmm0REREpEev3p+Pt6UbP\nkPsdHYqI01CzLSIiIvfsqqWATQdP0/vh+6ns4erocESchpptERERuWdfHz6NOTefARpCIlKIm6MD\nEBERkTuzfv16PvvsMwByc3NJTExkzZo1jBw5kvr16wMQHh5O7969iY6OJioqCjc3N0aPHk23bt3I\nyclh4sSJXLhwAS8vLxYtWoS/v3+JxLY2Np061SrTtn7JHE+kvFCzLSIiUkYMGDCAAQMGADB79mwG\nDhzIoUOHeO655xg+fLhtv3PnzhEZGcm6devIzc0lIiKCDh06sHr1aoKDgxk3bhxffPEFy5cvZ9q0\nafcc1+nLOew+ep6x3Rri4qK5tUVupGEkIiIiZczBgwc5evQogwcPJiEhge3btzN06FCmTp2K2Wzm\nwIEDtGrVCg8PD3x8fAgICCApKYnY2Fg6deoEQOfOnYmJiSmReDbEncBqoCEkIkXQmW0REZEy5v33\n32fMmDEANG/enEGDBtGsWTPeffdd3nnnHR566CF8fHxs+3t5eWE2mzGbzbbtXl5eZGZmFvsciYmJ\ndxSLYRis2pNO0xqeXD13nMRz95BYCcrJybnjHJxVecgByk8ed0vNtoiISBly5coVjh07Rrt27QDo\n0aMHvr6+tv/PmTOHNm3akJWVZXtMVlYWPj4+eHt727ZnZWXZHleUJk2a3FE8B9Mvc/zyMeb3f5gm\nTQLuNq0Sl5iYeMc5OKvykAOUjzxiY2Pv+rEaRiIiIlKG7Nu3j/bt29tujxgxggMHDgAQExNDSEgI\nzZs3JzY2ltzcXDIzM0lOTiY4OJjQ0FB27NgBwM6dO2nduvU9x7Nufzoebi78rvkD93wskfJIZ7ZF\nRETKkGPHjlGnzv/GRs+aNYs5c+bg7u5O9erVmTNnDt7e3gwbNoyIiAgMw2D8+PF4enoSHh7OpEmT\nCA8Px93dncWLF99TLJZ8K/+KP0mPprWoWtn9XlMTKZfUbIuIiJQhzz//fKHbISEhREVF3bRfWFgY\nYWFhhbZVrlyZZcuWlVgs24+cJSPLwsDQ2iV2TJHyRsNIRERE5K6s33+C6t4edG5Uw9GhiDitUjuz\nbbFYmDJlCmlpaXh7ezNjxgx8fHyYNm0aV65coaCggDfeeIOAgIAiJ+IXEfuzWq3MmjWLI0eO4OHh\nwdy5c6lXr57t/g0bNvDRRx/h4+ND//79GTRoEHBtZoRt27aRl5dHeHi4bbuIlF8XsyxsTTrDM+3r\n4+aqc3cixSm1Zjs6OpoqVaoQHR1NSkoKc+bMoUaNGvTp04fevXvz7bffkpKSQuXKlYuciN/Dw6O0\nQhWpsLZs2YLFYmHNmjXExcWxcOFC3n33XQAyMjJYtmwZ69evx9fXl2effZb27dtz4sQJfvjhB1av\nXs3Vq1f5+OOPHZyFiJSG/3fgJHkFBgM1t7bILZXaR9GjR4/SuXNnAIKCgkhOTmb//v2cOXOGZ599\nlo0bN9K2bdtiJ+IXEfu7ccGLli1bkpCQYLsvPT2dxo0b4+fnh4uLCw8//DDx8fHs2rWL4OBgxowZ\nw6hRo+jatauDoheR0rR2/wkeut+Hpg8WP32giJTime0mTZrwzTff8PjjjxMfH8+ZM2dwcXHBIhIq\nnwAAIABJREFU19eXTz/9lL/97W98+OGH1K9fv8iJ+ItS1idILy+TvJeHPMpDDiXBbDbj7e1tu+3q\n6kp+fj5ubm7Uq1ePo0ePcv78eby8vIiJiaF+/fpcvHiRkydP8t5775Gens7o0aPZvHkzJtPNSzaX\n9Z9xeXidKAcpCUfPmolPu8S035XtuZNFSkOpNdsDBw4kOTmZiIgIQkNDCQkJ4dSpU3Tv3h2A7t27\n89Zbb9GsWbMiJ+IvSlmfIL08TPIO5SOP8pDDvUy4f92NC17AtTHcbm7X3iaqVq3KlClTGDduHH5+\nfoSEhFCtWjX8/PwICgrCw8ODoKAgPD09ycjI4L777rvp+GX9Z1weXifKwTmURL060vr96bi6mHiq\n5YOODkXE6ZXaMJKDBw/Svn17Vq9eTa9evahbty6tW7e2Ta6/b98+GjZsWOxE/CJif6GhoezcuROA\nuLi4QrWXn5/P4cOHWbVqFUuXLiUlJYXQ0FBat27Nf/7zHwzD4MyZM1y9ehU/Pz9HpSAidma1Gnz2\nwwk6N6pOTZ9Kjg5HxOmV2pntevXqsXTpUt577z18fHyYN28e+fn5TJs2jaioKLy9vVm8eDFVq1Yt\nciJ+EbG/Hj16sHv3boYMGYJhGMyfP5+NGzeSnZ3N4MGDAejfvz+enp4899xz+Pv7061bN/bt28fT\nTz+NYRjMmDEDV1dXB2ciIvYSk3KBU5dzmNq7bH+7IFJaSq3Z9vf359NPP71p+yeffHLTtqIm4hcR\n+3NxceH1118vtK1Bgwa2/48dO5axY8fe9LhXX33V7rGJiHNYtz8dn0pu9Ghay9GhiJQJmhhTRERE\n7khWbj6bE07zZPMHqOSub7BE7oSabREREbkjXyacJttSoLm1RX4FNdsiIiJyR9bvT6fefVVoXa+a\no0MRKTPUbIuIiMhtnbh0lZiUCwxoVafIefRFpGhqtkVEROS2NvxwAsOAAaG1HR2KSJmiZltERERu\nyTAM1sWm0zbQn7r+VRwdjkiZomZbREREbiku7RIp57N4WhdGivxqarZFRETkltbtT6eSuwtPPHy/\no0MRKXPUbIuIiEixcvML2Bh/ip4h9+NTyd3R4YiUOWq2RUREpFjbEs9y+WoeAzSEROSuqNkWERGR\nYq3bf4KaPp50bFjd0aGIlElqtkVERKRIF8y5bD9ylv6tauPqorm1Re6Gmm0REREp0r/iT5JvNTSE\nROQeqNkWERGRIq3bn06z2r40vt/H0aGIlFlqtkVEROQmR05nknDiCgN1VlvknqjZFhERkZus35+O\nm4uJp1o86OhQRMo0NdsiIiJyk89+OEHXxjW5z9vT0aGIlGlqtkVEROQmZzNzGRha29FhiJR5arZF\nRETkJlUru9O9SU1HhyFS5rk5OgARERG5c/3798fb2xuAOnXqMGrUKCZPnozJZKJRo0bMnDkTFxcX\noqOjiYqKws3NjdGjR9OtWzdycnKYOHEiFy5cwMvLi0WLFuHv71/k8/Rp8QCebq6lmZpIuaRmW0RE\npIzIzc3FMAwiIyNt20aNGsVLL73Eo48+yowZM9i6dSstW7YkMjKSdevWkZubS0REBB06dGD16tUE\nBwczbtw4vvjiC5YvX860adOKfC7NQiJSMjSMREREpIxISkri6tWrDB8+nGeeeYa4uDgOHTpE27Zt\nAejcuTN79uzhwIEDtGrVCg8PD3x8fAgICCApKYnY2Fg6depk2zcmJqbY52pZ169UchIp73RmW0RE\npIyoVKkSI0aMYNCgQfz888+88MILGIaByXRtKXUvLy8yMzMxm834+PxvIRovLy/MZnOh7df3LU5S\nUpJ9k7GznJwcEhMTHR3GPSkPOUD5yeNuqdkWEREpIwIDA6lXrx4mk4nAwED8/Pw4dOiQ7f6srCx8\nfX3x9vYmKyur0HYfH59C26/vW5wmTZrYL5FSkJiYqBycRHnIIzY29q4fq2EkIiIiZcTatWtZuHAh\nAGfOnMFsNtOhQwf27t0LwM6dO2nTpg3NmzcnNjaW3NxcMjMzSU5OJjg4mNDQUHbs2GHbt3Xr1g7L\nRaSi0JltERGRMuLpp59mypQphIeHYzKZmD9/PtWqVWP69OksWbKEoKAgevbsiaurK8OGDSMiIgLD\nMBg/fjyenp6Eh4czadIkwsPDcXd3Z/HixY5OSaTcU7MtIiJSRnh4eBTZIK9YseKmbWFhYYSFhRXa\nVrlyZZYtW2a3+ETkZhpGIiIiIiJiJ2q2RURERETsRM22iIiIiIidqNkWEREREbETNdsiIiIiInai\nZltERERExE7UbIuIiIiI2ImabREREREROzEZhmE4Ooi7cS9r1IuUV8689LJqVqQw1atI2XK3NVtm\nm20REREREWenYSQiIiIiInaiZltERERExE7UbIuIiIiI2ImbowP4taxWK7NmzeLIkSN4eHgwd+5c\n6tWr5+iw7kj//v3x9vYGoE6dOowaNYrJkydjMplo1KgRM2fOxMXFOT//xMfH8+abbxIZGUlqamqR\ncUdHRxMVFYWbmxujR4+mW7dujg77JjfmcfjwYUaOHEn9+vUBCA8Pp3fv3k6bR15eHlOnTuXEiRNY\nLBZGjx5Nw4YNnfp3UZbrFVSzjqZ6LV2qV8dRvTqeXWvWKGO++uorY9KkSYZhGMYPP/xgjBo1ysER\n3ZmcnByjb9++hbaNHDnS+Pbbbw3DMIzp06cbX3/9tSNCu60PPvjAePLJJ41BgwYZhlF03GfPnjWe\nfPJJIzc317hy5Yrt/87kl3lER0cbH330UaF9nDmPtWvXGnPnzjUMwzAuXrxodOnSxel/F2W1Xg1D\nNetoqtfSp3p1DNWrc7BnzTrnR7xbiI2NpVOnTgC0bNmShIQEB0d0Z5KSkrh69SrDhw/nmWeeIS4u\njkOHDtG2bVsAOnfuzJ49exwcZdECAgJ4++23bbeLivvAgQO0atUKDw8PfHx8CAgIICkpyVEhF+mX\neSQkJLB9+3aGDh3K1KlTMZvNTp1Hr169+POf/wyAYRi4uro6/e+irNYrqGYdTfVa+lSvjqF6dQ72\nrNky12ybzWbb10QArq6u5OfnOzCiO1OpUiVGjBjBRx99xOzZs5kwYQKGYWAymQDw8vIiMzPTwVEW\nrWfPnri5/W/EUVFxm81mfHx8bPt4eXlhNptLPdZb+WUezZs359VXX2XlypXUrVuXd955x6nz8PLy\nwtvbG7PZzIsvvshLL73k9L+LslqvoJp1NNVr6VO9Oobq1TnYs2bLXLPt7e1NVlaW7bbVai30C3ZW\ngYGBPPXUU5hMJgIDA/Hz8+PChQu2+7OysvD19XVghHfuxjFv1+P+5e8lKyur0IvRGfXo0YNmzZrZ\n/n/48GGnz+PUqVM888wz9O3blz59+jj976Ks1iuoZp2N6tX+VK/OwdlfJ3eiLNYr2K9my1yzHRoa\nys6dOwGIi4sjODjYwRHdmbVr17Jw4UIAzpw5g9lspkOHDuzduxeAnTt30qZNG0eGeMeaNm16U9zN\nmzcnNjaW3NxcMjMzSU5OdvrfzYgRIzhw4AAAMTExhISEOHUe58+fZ/jw4UycOJGnn34acP7fRVmt\nV1DNOhvVq/2pXp2Ds79O7kRZq1ewb82WuRUkr18t/eOPP2IYBvPnz6dBgwaODuu2LBYLU6ZM4eTJ\nk5hMJiZMmEC1atWYPn06eXl5BAUFMXfuXFxdXR0dapHS09N5+eWXiY6O5tixY0XGHR0dzZo1azAM\ng5EjR9KzZ09Hh32TG/M4dOgQc+bMwd3dnerVqzNnzhy8vb2dNo+5c+fy5ZdfEhQUZNv22muvMXfu\nXKf9XZTVegXVrDNQvZYu1avjqF4dz541W+aabRERERGRsqLMDSMRERERESkr1GyLiIiIiNiJmm0R\nERERETtRsy0iIiIiYidqtkVERERE7ETNtoiIiIiInajZFhERERGxEzXbIiIiIiJ2omZbRERERMRO\n1GyLiIiIiNiJmm0RERERETtRsy0iIiIiYidqtkVERERE7ETNtoiIiIiInajZFhERERGxEzXbIiIi\nIiJ2omZbRERERMRO1GyLiIiIiNiJmm0RERERETtRsy0iIiIiYidqtkVERERE7ETNtoiIiIiInajZ\nFhERERGxEzXbIiIiIiJ2omZbRERERMRO1GyLiIiIiNiJmm0RERERETtRsy0iIiIiYidqtkVERERE\n7ETNtoiIiIiInajZFhERERGxEzXbIiIiIiJ2omZbRERERMRO1GwLq1ev5qmnnqJ379787ne/Y+LE\niZw8efK2j5s2bRoJCQl3/byZmZk888wzd/14EUe423qBslUzmzZtom/fvoW2DRkyhE6dOmEYhm3b\nH//4R1auXPmrjt29e3cOHjxYInGKXFdQUMAnn3zCgAED6Nu3L7179+Yvf/kLFovlro+5detW5s6d\nC8D27dtZunTpbR8zbNgwNm/eXOz9X375JYMGDaJXr1706dOHMWPGcOTIkTuK529/+xtbtmy5s+CL\nMXz4cDIyMm7avnfvXpo3b07fvn1t/x5//HFGjRrFxYsXb3vcG9/fXnvtNfbs2XNPcZYnarYruEWL\nFvH111/z/vvvs2nTJjZu3EiHDh0YPHgwp0+fvuVj9+zZU+iP7q91+fJl/cGVMuVe6gXKVs106NCB\n5ORkLl26BEBGRgZnz57lvvvus8WQl5fHvn376Nq1a6nEJHIrs2bN4ocffuAf//gHn3/+OWvXruXY\nsWO89tprd33Mxx57jGnTpgFw8OBBLl++fE8xrlixgg8++IAFCxawefNmNm7cSFhYGMOHDycxMfG2\nj9+7dy/5+fn3FMPu3buLvS8gIIDPP//c9u+rr77CxcWFjz/++LbHvfH9bd68efzmN7+5pzjLEzXb\nFdjp06eJiorir3/9Kw888AAALi4u9OvXj549e/L+++/fdAbq+u233nqLs2fPMmHCBOLj4xk2bBiz\nZs3i6aef5rHHHmPZsmUApKen06pVK9vjb7w9ZcoUcnJy6Nu3LwUFBaWYucivdyf1AjeftS2tmpk8\neTJTpkwhLCyMxx9/nJkzZ5KXlwdAcnIyw4cPt53xW7t2LXDtD/dTTz3FkCFDeOqppwqdAaxatSrN\nmjXj+++/B66d1evQoQNdu3Zl27ZtABw4cIDatWtTu3Zt8vLymDNnDr1796ZPnz689tprmM1m28/g\npZde4oknnuDf//637TmysrIYOnQof/nLXwA4c+YMY8aMYcCAAfTp04f33nvP9jPo0qULw4cPp2fP\nnpw9e/buf5FSLqWlpbFx40bmz5+Pj48PAFWqVGH27Nn06NEDgGPHjvHcc88xePBgunXrxujRo8nN\nzQWgadOmLFq0iAEDBtCrVy++/vprANavX8/IkSOJj48nKiqKTZs28dZbb5Gdnc2rr75KWFgYPXv2\nZMCAAaSkpNwyRovFwltvvcWbb75Jw4YNbdu7dOnCCy+8wFtvvQXcfGb8+u2VK1eSkJDAG2+8wb//\n/e9b1nzjxo0Lnb2+fnvKlCkA/OEPf+DUqVO3/bmazWYyMjKoWrUqAHFxcQwdOpRBgwbRtWtXpk6d\nClDk+9v1HLZs2UK/fv3o06cP4eHhHDhw4LbPW96o2a7A4uPjCQoKshXRjX7zm98QGxtb7GPHjx9P\nzZo1efPNN2nRogUAJ0+eZPXq1Xz22Wds2rSJb7755pbPv2DBAipVqsTnn3+Oq6vrvSUjYmf3Ui9Q\nOjWTlJTEJ598wqZNm0hOTmbNmjXk5+fz4osv8sorr7B+/XpWrFjBxx9/TFxcHAA//fQTixcv5l//\n+hceHh6Fjte5c2f27t0LwDfffEPXrl0LNdsxMTF06dIFgHfffZezZ8/azohZrVbeeOMN27EaNWrE\nl19+aWt8zGYzI0aMoEuXLkycOBGAiRMnMnDgQNavX8/atWvZs2cPmzZtAq592PnTn/7EV199Rc2a\nNW/5c5KK5/DhwzRs2BBvb+9C22vUqMFvf/tbAKKjo+nXrx9r1qzh66+/Jj09ne3btwPXhqBUrVqV\n9evX89e//pWpU6cWalZbtGjBkCFD6N27N+PHj2fnzp34+voSHR3NV199RbNmzW47nOrHH3/E3d2d\nBg0a3HRf+/btb/seMnToUJo1a8arr75qq6Oiav5WFixYAMA//vEP20mDGx0/fpy+ffvy5JNP0r59\ne5599lm6d+/OH/7wBwD+7//+jxdffJF//vOffPHFF2zbto2EhIQi39/g2gf9mTNn8vbbb7Nx40Ze\nfPFF/vSnP9k+iFcUbo4OQByruK+jLBYLJpPpVx1r8ODBuLu74+7uTq9evdi1axeNGjUqiTBFnEJJ\n1guUfM30798fLy8vAPr27cvWrVtp164dx48ft52BAsjJyeHw4cM0aNCABx54gNq1axd5vM6dO/Pa\na69hsVj4/vvveeONN/D09OT8+fOcP3+evXv38uKLLwKwc+dOxo8fj7u7O3DtbNyYMWNsx2rTpk2h\nY0+cOBE3NzfbGPTs7Gz27dvH5cuXbeNis7OzSUpKonnz5ri5udGyZcu7/tlI+ebi4oLVar3lPhMn\nTmT37t18+OGH/Pzzz5w9e5bs7Gzb/b///e8BeOihhwgODmbfvn3FHqtXr17UrVuXyMhIUlNT+e67\n7wp9I1Wckn4PKarmr+dxN64PIwFYt24db731Fo899pitrhcuXMjOnTt57733SElJIScnp9DP8Je+\n/fZb2rVrR926dYFrHyr8/f1JSEigXbt2dx1nWaNmuwJr2bIlqampnDt3jho1ahS6b+/evbRq1Yqd\nO3cWGmN6qwtN3Nz+93IyDAMXFxdMJlOhx1//ikukrLmTernOUTVz49nu68crKCjA19fX9gcU4Pz5\n8/j4+BAXF0eVKlWKPV5ISAgXLlxgy5YtNGvWjMqVKwPQqVMndu/eTUpKii3vXzY6Vqu1UOy/fJ7R\no0ezd+9e/vKXvzB9+nSsViuGYRAVFWV7noyMDDw9Pbl48SIeHh6Ffl4iN2revDkpKSmYzeZCZ7fP\nnDnD9OnTWbZsGZMnT6agoIAnnniCrl27curUqUK1dmP9WK3WW37jumrVKqKjoxk6dCh9+vTBz8+P\n9PT0QvusXr2aqKgoAJo1a8aMGTMASExMpEmTJoX2vdV7yK3eA4qq+V+62wtEBw4cSHx8PC+//DLr\n1q3Dzc2NoUOH8tBDD9GpUyeeeOIJ4uPjb3kdSlH3GYZxz+POyxoNI6nAatWqxbBhw3j55Zc5c+aM\nbfu6dev4+uuveeGFF2yfQOHaWK1z587Z9nN1dS1UMP/617+wWq1cvnyZL7/8ku7du+Pr60teXh5H\njx4FKDRe083NjYKCgnu6YEyktNxJvQAOrZkvv/wSi8VCbm4un332Gd26dSMwMBBPT09bs33q1Cme\nfPLJO5oVxWQy0aFDB957771CF0F27dqVjz/+mLZt29oa4E6dOhEVFUVeXh5Wq5WVK1fSoUOHYo/d\nvHlzZs2axebNm9m1axfe3t60bNmSTz75BIArV64QHh7O1q1bbxunSK1atejTpw9Tp061DVEwm83M\nmjULPz8/KlWqxK5duxgzZgy9e/fGZDIRHx9f6NqHDRs2AHDo0CGOHTvGI488Uug5bqzfXbt20b9/\nfwYNGkRgYCDbtm276TqK8PBw27CqefPm4enpyYQJE3j11VdJTk627bd9+3Y++ugj/vznPwOF30OO\nHz9eaKaSX76HFFXz149x/dqRG99DijrGrbzyyiucPXuWFStWcPnyZRISEpgwYQK//e1vOXPmDMeP\nH7d90C7quO3atWP37t2kpaUB14aenTp1qtBQk4pApwkquFdeeYV//vOfjB49GovFgsVi4eGHHyYq\nKoratWszYcIEZs2axZo1awgJCSEkJMT22Mcff5zx48fbpkXKycnh6aefJisri4iICNq3bw9c++ru\neuPeq1cv2+Nr1KhB06ZNeeKJJ1i9ejXVqlUr3eRFfqXb1Qvg0JqpVKkSERERXLlyhZ49ezJw4EBc\nXFxYvnw58+bN4+9//zv5+fn8+c9/pnXr1rbx2LfSuXNnNmzYYPsjDtCxY0cmTpzIc889Z9s2evRo\nFi1aRL9+/cjPz6d58+ZMnz79lsf29/dn5syZTJ06lY0bN/Lmm28yZ84c+vTpg8Vi4cknn+Spp566\n6YyhSFFmzpzJ8uXLGTJkCK6urlgsFh5//HHGjRsHXLtuYsyYMVStWpXKlSvzyCOPcPz4cdvj9+/f\nT3R0NFarlbfeeuum6zPat2/PuHHjcHd3Z/jw4cyYMYP169fj6upKSEgIP/74421jHDJkCNWrV2fa\ntGlcuXKF/Px8AgMD+fjjj21nu0ePHs3kyZPZsWMHQUFBhYZgdevWjUWLFtnOdhdV83BtGr7XX38d\nX19ffvOb3xT6Nq5Hjx5ERESwfPlygoODbxlv1apVmTBhAgsWLODJJ5/kj3/8I/3798fPz49q1aoR\nGhpKamoq7du3v+n9DaBhw4bMnDmTsWPHUlBQQKVKlXjvvfdsF7FWFCZDpxWlBAwbNoyhQ4cWagxE\npHglXTOTJ0+mUaNGjBgxokSOJ1KRNG7cmJiYGPz9/R0dyh1TzZcdGkYiIiIiImInOrMtIiIiImIn\ndhuz3b9/f9sVwXXq1GHUqFFMnjwZk8lEo0aNmDlzJi4uLkRHRxMVFYWbmxujR4+mW7du5OTkMHHi\nRC5cuICXlxeLFi0qU1/tiJQ3v6zn63O1Amzbto133nkHNzc3Bg4cSFhYmKPCFJH/Us2KOA+7NNu5\nubkYhkFkZKRt26hRo3jppZd49NFHmTFjBlu3bqVly5ZERkaybt06cnNziYiIoEOHDqxevZrg4GDG\njRvHF198wfLly23LpYpI6Sqqnq/Ly8tjwYIFrF27lsqVKxMeHk737t2pXr26AyIVEVDNijgbu4zZ\nTkpK4urVqwwfPpxnnnmGuLg4Dh06RNu2bYFrV7fv2bOHAwcO0KpVKzw8PPDx8SEgIICkpCRiY2Pp\n1KmTbd+YmBh7hCkid6Coer4uOTmZgIAAqlatioeHB61bt77lQhAiYn+qWRHnYpcz25UqVWLEiBEM\nGjSIn3/+mRdeeAHDMGyrI3l5eZGZmYnZbC40/YuXlxdms7nQ9uv7/tLtljUVqYhat25d4scsqp43\nb96Mm5tbsTVcFNWsSGH2qFcomZpVvYrc7G5r1i7NdmBgIPXq1cNkMhEYGIifnx+HDh2y3Z+VlYWv\nry/e3t5kZWUV2u7j41No+/V9i2KvN6rSUtQqUmVRecijPORgrz+ORdXzuXPneOCBB4qt4eKoZh1P\nOTgHezazJVWzqlfHKw85QPnI415q1i7DSNauXcvChQuBa0ulms1mOnToYFtAYefOnbRp04bmzZsT\nGxtLbm4umZmZJCcnExwcTGhoKDt27LDtW9YLXqQsK6qery+Q0KBBA1JTU7l06RIWi4Xvv/++0JLD\nIlL6VLMizsUuZ7affvpppkyZQnh4OCaTifnz51OtWjWmT5/OkiVLCAoKomfPnri6ujJs2DAiIiIw\nDIPx48fj6elJeHg4kyZNIjw8HHd3dxYvXmyPMEXkDhRVz19++SXZ2dkMHjyYyZMnM2LECAzDYODA\ngdSqVcvRIYtUaKpZEedil2bbw8OjyAZ5xYoVN20LCwu7adqhypUrs2zZMnuEJiK/UlH1HBoaavt/\n9+7d6d69e2mHJSLFUM2KOBetICkiIiIiYidqtkVERERE7ETNtoiIiIiInajZFhERERGxEzXbIiIi\nIiJ2omZbRERERMRO1GyLiIiIiNiJXebZFpHSYRgGaRlXiT2eQYCjgxGR27qcncf+tIv4OjoQEbkt\nS76Vw6eucOjkZR66h45ZzbZIGZKTV8Chk5eJTb3433+XOG/OBWDdoPsdHJ2I3MgwDI6dzyI29SL7\nj1/k+58v8tNZM6B6FXFGF8y57D9+6VrNpl4kPv0SuflW4N5qVs22iBPLtuTz/c8XiUm5wHfHMjiY\nfhlLwbXCr3dfFTo3qk5ovWqEBlTj6qmfHBytSMVmtRocPnWFb1Mu8G3KBWJTL3IxOw8A30putK5X\njb4tHyQ0oBpcTnVwtCJy+nIOMSnniUm+wPc/XyTlfBYA7q4mQh6syu/b1aP1f//Gnjh66K6fR822\niBPJyStg//GLfJt8gZiUC8SlXSKvwMDNxUSLun4816G+rbmu4eNZ6LGxpxwUtEgFZRgGP501s+fo\neWJSLrD3WAaX/ttcB1b3okfTWrSuV43W9aoRVN0bFxeT7bGxsWq2RUrbucxcvk25wJ7kax+Ij/23\nufar4k6bev6EPVKX1vWq8XDtqlRydy302BP38LxqtkUcyDAMkk5nsv3IOXb+eI7Y4xex5FtxMcHD\ndfwY0TGI3zS4jzb1q1HFQ+Uq4mjnMnPZ8eM5th85y7cpFzhvtgBQp1plftu0Fu0b3Ef7oOrcX7WS\ngyMVkZy8AvYey2D7kbPsPnqeH89cG8bl7enGo4H+DH00gPYN7qPJ/b6FPgyXNP31FillV3Ly2P3T\nebYfOceOH89x+koOAA/d78OwdvX4TYP7eCTQH99K7g6OVETyC6zEpV1i+5FzbP/xLAknrgBQw8eT\nTo1q0D7oPto3uI+6/lUcHKmIAKReyLpWr0fOEpNygZw8K55uLrQN9Kd/qzq0b3AfzR70xc219Cbk\nU7MtUgrSMrL56tBp/n34DLGpF8m3Gvh4utEpuDpdg2vSpXENavnqTJiIMzDn5rP9yFm+PnSGHT+e\n4/LVPFxM0LpeNSb2bEyX4Bo0fcC+Z8JE5M5YrQb7j19kc8JptiWdtY27rndfFQa3qUvXh2rSLvA+\nKnu43uZI9qNmW8QOro/l3Jxwmq8OnebQyWtnwxrX8uGFzkF0Da5BaL1quJfiJ2sRKV5GloUth8/w\n1aHT/OfoeSz5Vu7z8qBH01p0bVyDTg1rULWKvm0ScQaWfCsxKRf46tBpvj50hvPmXNwIZ/s0AAAg\nAElEQVRdTbRvUJ1h7evRtXFNAqt7OTpMGzXbIiXEMAwST2Wy8cBJvko4bft0HRrgx5QnHqJnyP3U\nd6LiF6nozptz2XTwFJsOnuK7YxlYDajtV5nfP1qPniG1aFPfH1edvRZxCpZ8Kzt+PMcXB06yNeks\nmTn5VPFwpVvjmvw2pBbdHqrptMMv1WyL3KO0jGz+FX+SDT+c4KezZtxcTLRvcB/PdQzkt01raXiI\niBMx5+bz9aHTfB53kl1Hz1NgNWhU05sx3RrSM+R+Qh70xWRSgy3iDKxWg+9+zuDzuJNsOniKy1fz\nqFbFnV4h99Mz5H46Nqp+06whzkjNtshduGDO5YuDp/g87uT/Z+/O46Iq9z+Af9iGHREEFBQRBAER\nRVwyc19TK68mCl6ttLK6WdqtLK8tXu+9XlusvKVlZQumqJmWS5Y7LoiCCwIDsgiyM4AgDMx+fn+Y\n/KyEcQHOmeHz/svXCMPnwDxnvufM83wfJOdfBQAM9OuIFVPDMLlPF7g5ykROSEQ3aHQGxF9SYOf5\nIhyQl0GlNcDH1R4LhvvjkX4+6NXZWeyIRPSbG58S/3i+CD9dKEZJjQoOMiuMD/XCIxE+eKBnJ5Ob\ngslim+g26Q0C4i8psOVMAQ7Iy6AzCAju7IxXJ/bCw3290bUjuxEQSUlWWS22nCnAD+eKUKXUoKOD\nDWZEdmvcWIYLHImko6Zeix8vFCHudAHSS67B2tICI4I88NqDwRgX6mXS7W9NNzlRGymoqse2pAJs\nSy5ESY0K7o4yPDHUD9MjuyK4s4vY8YjoJkq1DnsulmDLmQIk51+FtaUFxoV6YcaArhgW6GFyd8SI\nzJkgCDiVW4UtZ67g59RSqHUGhPm44J+P9MaUcG+z+ZSYxTbRLegNAg5nlOObhDwcz64AAAwP9MCb\nU0IxJsQLMmu+YRNJSVZZLb5JyMPOc8WoU+vg7+GIpZOCMa1/V3RysjX6/UTUdmoatNiWVICNp/KR\nV1kPZztrRA3ohpkDuyHMp4PY8Voci22im9w4AXyTkIeCqgZ0drHDC6MDETWwG3xc7cWOR0Q30RsE\nHJSX4ZuEPJzIroTM2hJTwrsgepAvBnTvyIWORBJzqawWX5/Mw46zRWjQ6jGge0e8MCYQD4Z1EbUP\ndmtjsU0EIL9ag9gdFxtPAAP9OmLJxOvt+vixM5G01Gn0WB+fg28T8lF4tQFdOtjhlQm9MGtgN7jz\nLjaRpOgNAk5eUWLF8VM4mXP9oviRvt547H4/s7yLfSsstqldS8qrwqdHc3BAXg6ZtSWm9vPG3CHt\n5wRAZErKrqnw5fHLiD15BQ06AYN6uGHppBCMD/Vq062Xicg4tU6PHWeLsD4+F7kVSnh3sMOrE3th\n1kBfs5mLfbtYbFO7YzAIOJxZjk+P5uBM3lV0dLDBX/t2xEsPD2h3JwAiU5CjqMP6o7nYca4IOoMB\nw/0c8fKUCF4UE0lQrUqLTYlX8OXxyyivVaO3twteG+6JJydEttuLYhbb1G7oDQJ2pxRj7eEcZJbV\nwsfVHm8/FIqogd2Qn5PFQptIYlKLavDxoWz8kl4KmZUlZg7shqeG+UNZno8QFtpEknJVqcEXx3Px\nbUI+alU6DO3pjvej+uKBnp2QkZHRbgttgMU2tQMGg4CfU0vxwYFLyC6vQ5CXE1ZH9cVDfb05H5tI\ngjJLa/HB/kvYl1YKZztr/G1kTzw+1K+xq4i8XOSARNSopkGLL4/lYsOJPCg1Okzs3RnPjAhA326u\nYkeTDBbbZLYEQcD+9DKs3n8JGaW16OnphE9i+uPBsM7czIJIgnIUdfjwQBZ2pxTDSWaNF8cEYv6w\nHnCxsxE7GhH9QZ1ah6+OX8bnx3JxTaXDpD6dsWhsEIK8uCPrH7HYJrMUf0mB937NREphDfzcHfDh\nzH54qK83rFhkE0lO4dV6rN5/CTvPFcHOxgrPjgjA08P94erAqV1EUqPS6vHNyTx8ejQHV+u1GBvi\nicXjgtDbm1O7msJim8zKpbJa/HuPHEcvKeDjao93Hg3HtAifdj1XjEiqrqm0WHs4BxtOXIYFgPkP\n9MCCEQHchIZIggRBwE8XivHOvkwUVTdgeJAHXhoXhH6cLmIUi20yC4paNT44cAlxp6/A0dYa/5gU\ngrn3d4ettfk2yScyVTq9AZvPFODD/ZdQqdRgWoQPXp7QC97cOIpIkpLzq7BitxznC6oR2sUF7z4a\njvt7dhI7lslgsU0mTaXV48vjl7HuSA5UWj3mDvHDi2MC0ZGdRYgk6XBGOf69V47s8joM7uGGryeH\nok9XfvxMJEVXKuuxal8G9lwsgaezLd59NBzT+nfllMw7xGKbTNbhjHK8+VMqCqoaMD7UC689GAx/\nDyexYxHRLRRU1ePtn9JwMKMcPTo54rM5kRgf6sUt1YkkSKXVY92RHKw7mgMrCwssGhuIp4f7w0HG\nsvFu8LdGJqfwaj3+uSsdv6aXoaenEzY9NRj3B/DjLCIpUuv0+Dw+F/87lA1rSwv8Y1IIHrvfDzJr\nrqMgkqLDmeV4+6c05FfW4+G+3vjH5BB4udiJHcuksdgmk6HRGfDl8ctYczALAPDag8GYN7QH37SJ\nJOp4VgXe/DEVuRVKTO7TBcumhKBLB87LJpKi4uoGrNidjp9TS+Hv4YhNTw7mvOwWwmKbTEJKYTVe\n/T4FGaW1mNDbC28+1Bs+XExFJEnV9Rqs2C3H9rOF8HN3wLfzBmF4kIfYsYjoFgwGAd+dvoL/7pVD\nLwh4ZUIvPDXMnzeyWhCLbZI0lVaPDw9kYX18DjycbfHF3AEYG+oldiwiasK+1FK88WMqqpQaPD+q\nJ54f3RN2NuwKRCRFeRVKLNmegsTLVRgW2An/+UsfdHNzEDuW2WGxTZKVlFeFV7enIFehxMwB3bB0\ncgg62HMnOSIpqqhT462f0rAnpQShXVzw1eMDEebDLiNEUqQ3CPjqxGW892smbKws8c70cMwY0JUL\nllsJi22SHLVOj/d/vYTPj+XCu4M9YucPwrBAfgRNJFW/ppXitR8uok6lw8vjg7BgRABsuJEUkSRd\nqazH4q3nkZx/FWOCPfHvv/RB5w5cANmaWGyTpFwqq8WLcechL7mGmMG+WDopBE62fJkSSVG9RocV\nu9Ox+XQBwnxcsDqqH4K8nMWORUS3IAgCtp8twts/pcHCAvhgZl9M7efDu9ltgFUMSYIgCPg2IR//\n2SuHk60152YTSdyFgmos2nIeeZVKPDMiAC+NC+KCKiKJqq7X4B87UrHnYgkG9XDD6qi+6NqRc7Pb\nCottEl1FnRovb7uAI5kKjOzlgXceDYenMz/SIpIig0HAuqM5+GD/JXg622LTk/dhSIC72LGIqAkJ\nOZVYvOU8KurUeHViLywYHsAdINsYi20S1Zm8Kjy/6Syq67X45yO9Mee+7vxIi0iiqpQaLNpyHvGX\nFHiorzf+9UgYOjhw0TKRFN24MH7/10z4uTtix3ND0acrFy2LodU+86usrMSIESOQk5OD9PR0DBs2\nDHPmzMGcOXOwd+9eAMDWrVsxbdo0REVF4fDhwwAAlUqFhQsXIiYmBk899RSqqqpaKyKJSBAErI/P\nwaz1p2BvY4Udzw3F3CF+LLQl7OYxfbOvv/4akydPbhzfubm5IiWk1pScfxWT1xzDqdxKrJzWB2tm\n9WOhLWEcr+3bVaUG8785g3d/ycSUcG/sWvgAC20Rtcqdba1WizfffBN2dtenAqSlpeGJJ57AvHnz\nGr9GoVAgNjYW27dvh1qtRkxMDIYOHYrNmzcjKCgICxcuxJ49e7B27VosW7asNWKSSGoatHh52wXs\nTy/Dg2GdserRcLjY8U1byv44pm+WmpqKVatWISwsTIRk1NoEQcCGE3lYuVcOb1d7/PDs/WzpJ3Ec\nr+3buStX8fymc1DUqrFiahj+OtiXN7JE1ip3tletWoVZs2bB09MTwPXBfeTIEcyePRtLly5FXV0d\nUlJSEBERAZlMBmdnZ/j6+iIjIwPJyckYNmwYAGD48OFISEhojYgkEnnJNTz0v+M4nFGON6eEYu3s\n/iy0TcAfx/TN0tLSsH79ekRHR+Ozzz4TIR21FqVah79tOosVu9MxOtgTuxY+wELbBHC8tk+CICD2\nVD6iPkuAhQXw/bNDODVTIlr8zvYPP/wANzc3DBs2DOvXrwcAhIeHY8aMGQgLC8O6devwySefIDg4\nGM7O/98iytHREXV1dairq2t83NHREbW1tU3+LLlc3tLx25RKpTL5YwBu/zhO5Cvx3vFyONpY4p0J\nXRDirkJGRkYbJDTOXP4WreFWY/pmkydPRkxMDJycnPD888/j8OHDGDVq1C2fy9R/x+bwOrndYyir\n0+LtQ2W4Uq3B/Eg3TO/tgOK8bBS3QUZjzOHv0Fo4Xv+fObxObvcYtHoBn56uwN5LtRjoY49XhnnC\nprYEcnlJG6Q0zhz+FveixYvt7du3w8LCAgkJCZDL5ViyZAnWrVsHD4/rm5KMGzcOK1aswIABA6BU\nKhu/T6lUwtnZGU5OTo2PK5VKuLi4NPmzQkJCWjp+m5LL5SZ/DIDx4xAEAf87lI3VR8rQr5sr1s+J\nhKeLtLqNmMPfIjk5uVWet7kxLQgCHnvsscYL5BEjRiA9Pb3JN29T/x2bw+vkdo4hMbcSL31/Fjq9\nAV8/MQjDg6S1qZQ5/B04XlufObxObucYqpQaPLsxGYmXa/HMiAC8MqGX5LqNmMPf4l7GbIsX2999\n913jv+fMmYO3334bzz33HN544w2Eh4cjISEBvXv3Rnh4OD788EOo1WpoNBrk5OQgKCgI/fv3x9Gj\nRxEeHo74+HhERka2dERqQ/UaHV7ZloI9F0swLcIH/5nWB3Y2VmLHojtwqzF94+K5rq4OU6ZMwd69\ne+Hg4IDExERMnz5drKjUAjafvoI3dqbC190BX8wdAH8PJ7Ej0R3geG1f5CXX8NS3SSivVePDmf0w\nNcJH7Eh0C23S+u/tt9/GihUrYGNjg06dOmHFihVwcnLCnDlzEBMTA0EQsHjxYtja2iI6OhpLlixB\ndHQ0bGxs8P7777dFRGoFpTUqzP/mDNJLrmHppGA8Ncyfc8fMxK5du1BfX4+ZM2di8eLFmDt3LmQy\nGYYMGYIRI0aIHY/ugt4gYMXudHx9Mg8jgjzwv5gIrqcwExyv5ulAehleiDsHJ1trbFswBH27uYod\niZrQqsV2bGxs47/j4uL+9P9RUVGIior63WP29vZYs2ZNa8aiNnCprBaPbziNayodNjw2EKOC/7xQ\nh0zPjTEdEBDQ+NjUqVMxdepUsSJRC1Bp9Xhh8zn8ml6GJx/ogdcnhUjuY2i6cxyv5mvjqXy8+WMq\nwnw64PO5A+AlsamZ9Hvc1IZaXGJuJZ76Ngm2NlbYsuA+9PZm9wIiqbrRj/dcQTXefigUjw/tIXYk\nImqCIAh4/9dL+PhwNkb18sAns/vDQcZSTur4F6IWtSelBIu3nEc3N3t8/cQgdHNzEDsSETWhoKoe\nj204jcLqBqyN6Y8H+3QROxIRNUGrN+C17Rex/WwhZg3shn9NDYO1VavtTUgtiMU2tZgvj1/Gv/ak\nI9K3I754bABcHWRiRyKiJqQW1eDxr85AqzfguycHY6Cfm9iRiKgJdWodnt2YjGNZFVg0NhAvjgnk\nGigTwmKb7pkgCFj9aybWHMrGxN6d8eGsfuw4QiRhpy9XYd7XZ9DB3gZxTw9GT09n499ERKKortfg\nsa/OILWoBqum98HMgb5iR6I7xGKb7okgCPgiqQo/pNcgakBXrJwWzoVVRBJ2trgeK44kwtvVHt89\nORhdOtiLHYmImlDdoMdLnycip7wO62b3x/jencWORHeBxTbdNYNBwBs/puKH9Bo8fr8f3pwSCksW\n2kSSdSC9DG8dLEVPT2fEzh8MD2dbsSMRURNKa1R49ZdiKOr1+PyxARghsc2l6Pax2Ka7otMb8Or3\nKfjhXBGiwlzx1kOhnD9GJGG7U4qxKO48/DvaIu7p+7imgkjCCqrqMfuLRFQodfhm3mAM9ncXOxLd\nAxbbdMe0egNejDuHvRdL8fL4IIzpomOhTSRh25ML8cr3FzCguxteHeLCQptIwvIqlIj5/BTq1Dqs\nHN+FhbYZYM8YuiM6vQGLtpzH3oulWDY5BM+PDhQ7EhE148fzRXj5+wu4P6ATvp43EI4ynvaJpKqg\nqh7Rn5+CSmdA3NND0MuDm9WYA5516bYZDAJe/T4Fe1JKsHRSMJ4c5i92JCJqxt6LJXhp6wUM7uGG\nz+cO4OYXRBJWXN2AmC9OoV6jx8b5gxHq7SJ2JGohLLbpthgMApbuuIgfzhXh7+OC8PTwAOPfRESi\nOZBehhc2n0O/bq748rGBsJexHSeRVJVfU2H2F4moVmoRO38QC20zw9scZJQgCFi+Kw1xZwqwcHRP\nLBzDqSNEUnb0kgLPfXcWvb1d8NUTA+Foy1M9kVRV1KkR80Uiyq6pEDt/MMK7uoodiVoY72xTswRB\nwMqfM/BNQj6eHu6Pl8YFiR2JiJpxMqcCT3+bhJ6eTvh23mC42NmIHYmImlBdr8Ffv0hE4dV6bHh8\nICK7dxQ7ErUCFtvUrM/ic7E+PhePDemO1x8MZtcRIglLLarB098mw9fNAbHzB6GDAwttIqlq0Ogx\n7+szyFUo8cXcgbiPXUfMFj9bpCZtTy7Ef3/OwEN9vfHWQ71ZaBNJWEFVPR7/6gxc7Kzx7fxBcHfi\nhjVEUqXTG7Bw8zmcK6jGJzH98UBgJ7EjUSvinW26pSOZ5ViyPQVDe7rjvRnh3BmSSMIq69SYu+E0\ntHoDvp0/iFuwE0mYIFzfffmAvAzLH+6NSX26iB2JWhmLbfqTCwXVeO67swjycsanf42ErTW7GBBJ\nlVKtw7yvz6C4ugEbHh+Anp7OYkciomZ8eCALm08X4PlRPTF3iJ/YcagNsNim37lcocS8r8/A3UmG\nr+cNhDMXVxFJllZvwN82ncXFohp8HNMfkd3dxI5ERM34LjEfHx3MQtSArvj7eDYcaC84Z5saVSk1\neGzDaQgAvnliEDyduXMVkVQJgoBlO1JxJFOBldP6YFyol9iRiKgZB+VleGNnKkYHe+I/f+nDdVDt\nCIttAgCodXo8E5uM0msqxD19H/w9nMSORETN+PxYLrYkXe99Hz3IV+w4RNQMeck1vLD5HEK9XfBx\nTASsrTixoD3hX5sgCAKW/pCK03lVeG9GX/T3ZZ9PIinbn16GlT9nYHKfLlg8lh9FE0mZolaNJ79J\ngpOdNb6YOxAOMt7nbG/4Fyd8ejQX288W4sUxgXi4r7fYcYioGenF1/Bi3Dn08emA92b0ZacgIglT\nafVYEJuESqUa2xbcj84dOD2zPWKx3c79klaKd37JwJTwLlg0ltuwE0lZea0KT35zBi52Nvhi7gDY\ny9gpiEiqBEHAa9tTcPZKNdbO7o8+XTuIHYlEwmK7HbtUVovFW84j/Lc7ZFysQSRdGp0Bz208i6v1\nWmx7Zgg8XXiHjEjK1sfnYuf5Yrw8Poi9tNs5Ftvt1DWVFgtik+Egs8ZncwbAzoZ3yIik7N970pGU\nfxVroiMQ5sM7ZERSdiK7Aqv2ZWBSn87426ieYschkXGBZDtkMAh4acsFFFTVY+3s/pxDRiRx25ML\n8U1CPp4a1oPrKogkrvBqPZ7fdBYBHk5451F+akwsttuljw9n44C8DMsmh2BQD26CQSRlqUU1WLrj\nIob4u2PJxGCx4xBRM1RaPZ7ZmAydXsBncyLhZMsJBMRpJO3O4cxyfHDgEv4S4YPH7vcTOw4RNeOq\nUoMFsclwd5SxNy+RxAmCgGU7U5FadA2fzx3A/SqoEYvtdqSougGL4s4jpLMLd68ikjiDQcDireeh\nqFVj2zND4O5kK3YkImrG1qQCfJ9ciBdG9+SOrvQ7vE3STmj1BizcdBZ6g4C1s/uzZRiRxK0/losj\nmQq8MSUEfbu5ih2HiJqRWVqLt35Kw9Ce7niRG03RH/DOdjvx/q+XcPZKNf4XHQG/To5ixyGiZiTn\nV+HdXzIxqU9n/PW+7mLHIaJm1Gt0+Nums3CytcEHM/vBihtN0R+w2G4HDmeW49OjOYgZ7IuH2MmA\nSNKq6zV4YfN5eLva4b/Twzndi0ji3vwxDTmKOmycPxiezuzuRX/GaSRmrrRGhb9vvYDgzs54c0qo\n2HGIqBmCIODlbSkor1Xh4+j+cLGzETsSETVje3Ihvk8uxMJRPTG0Zyex45BEsdg2Y3qDgEVbzkGl\n1eOT2f25cQ2RxH1zMg8H5GV47UHO0yaSussVSrzxYyoG9XDDC2MCxY5DEsZpJGbsi2O5OJVbhXce\nDUcAWxARSVpWWS1W/pyBUb08MG+on9hxiKgZWr0Bi7ach42VJT6a1Y9tOalZLLbNVHrxNbz3ayYm\n9u6MGZFdxY5DRM3Q6Ax4Me48nGytueMckQn4+FA2LhRU4+OYCHTpYC92HJI4FttmSKXVY9GWc+jo\nIMN/prGfNpHUrd5/Cekl1zfC8HBmP20iKTt75So+PpyNaRE+mBLOpgNkHIttM/TOvkxcKqvDN/MG\nwc1RJnYcImpGYm4lPovPQfSgbtwIg0jilGodFm85j84udnj7kd5ixyETwWLbzBzPqsCGE5fx+P1+\nGBHkIXYcImrGNZUWL229gO5uDlg2md2CiKTuX3vScaWqHnFP3cduQXTbOKPfjNSqtHjl+wsI8HDE\naw8Gix2HiIz49245SmoasHpmPzja8t4HkZQdzizH5tMFeHq4Pwb7u4sdh0wIi20z8p+9GSi7psJ7\nM/qyzR+RxMVfUmBLUgGeHh6A/r4dxY5DRM24ptJi6Q8X0dPTCYu5HTvdIRbbZuJEdgU2n76CJ4f5\nI4Jv3ESSVqfW4fUfLiLAwxGLxrI/L5HUrdwrR9k1Fd59NJw3s+iOsdg2A3VqHV79PgX+nRzx0jhe\ncRNJ3cq9chTXNOCdR/kpFJHUHc+qwObTBXiKN7PoLrVasV1ZWYkRI0YgJycH+fn5iI6ORkxMDN56\n6y0YDAYAwNatWzFt2jRERUXh8OHDAACVSoWFCxciJiYGTz31FKqqqlorotlY9XPGb2/cvOKm1nPz\nmL7ZoUOHMH36dMycORNbt24VKZ3pOJldge8Sr2D+0B6I7M43bmodHK8to06tw5Lt129mLebNLLpL\nrVJsa7VavPnmm7CzswMArFy5EosWLcKmTZsgCAIOHjwIhUKB2NhYxMXF4csvv8Tq1auh0WiwefNm\nBAUFYdOmTZg6dSrWrl3bGhHNxqncSsSeysfj9/thgJ+b2HHITP1xTN/8+MqVK7FhwwbExsZiy5Yt\nqKioECml9NVrdFjyQwr83B3w9/G9xI5DZorjteXcuJn17gzezKK71yrF9qpVqzBr1ix4enoCANLS\n0jBo0CAAwPDhw3Hy5EmkpKQgIiICMpkMzs7O8PX1RUZGBpKTkzFs2LDGr01ISGiNiGZBpdXj9R8u\nwtfNAa9M4Bs3tZ4/jukbcnJy4Ovriw4dOkAmkyEyMhJnzpwRKaX0fbD/Egqqrk8fsZfxjZtaB8dr\ny0jOr2q8mRXZnTez6O61eK+pH374AW5ubhg2bBjWr18PABAEoXEXQ0dHR9TW1qKurg7Ozs6N3+fo\n6Ii6urrfPX7ja5sil8tbOn6bUqlU93QMG89X4XKFEv8a2xn5OVktmOzO3OtxSIE5HENrudWYvqGp\ncdwUU/8d38vrJLdKjS+PF2FioDOcVWWQy8taON3tMYfXujkcQ2vheP1/9/I60RkE/H1XITwcrfBQ\nd/F+F+byWjeX47hbLV5sb9++HRYWFkhISIBcLseSJUt+N+9aqVTCxcUFTk5OUCqVv3vc2dn5d4/f\n+NqmhISEtHT8NiWXy+/6GHIUddiWmoeH+nrjr2MjWjjZnbmX45AKcziG5OTkVnneW43pdevWwcPD\no8lx3BRT/x3f7etEbxDw+rqT6Oggw3+j74Org3g7u5rDa90cjoHjtfXdy+vk06M5yKvWYv2cSPTv\n3bmFk90+c3itA+ZxHPcyZlu82P7uu+8a/z1nzhy8/fbbePfdd5GYmIjBgwcjPj4e9913H8LDw/Hh\nhx9CrVZDo9EgJycHQUFB6N+/P44ePYrw8HDEx8cjMjKypSOaPEEQ8MbOVNjaWOKNKab94iXpu9WY\n9vC4vjtpQEAA8vPzUV1dDQcHByQlJWH+/PliRZWsTaev4HxBNT6Y2VfUQpvMH8frvSuoqseHBy5h\nXKgXxotYaJP5aJMty5YsWYI33ngDq1evhr+/PyZMmAArKyvMmTMHMTExEAQBixcvhq2tLaKjo7Fk\nyRJER0fDxsYG77//fltENCk7zhXhZE4l/jU1DJ7Odsa/gaiF7dq1C/X19Zg5cyZee+01zJ8/H4Ig\nYPr06fDy8hI7nqSU16rwzr4MDO3pjqn9fMSOQ+0Qx+vtEwQBb/2UBksLCyx/uLfYcchMtGqxHRsb\n2/jvjRs3/un/o6KiEBUV9bvH7O3tsWbNmtaMZdKuKjX41x45InxdETPIV+w41M7cGNMBAQGNj40e\nPRqjR48WK5Lkrdgth1pnwL+m9mlcu0LUFjhe79y+1FIcyijHsskh8Ha1FzsOmQluamNi3v01EzUN\nWvx7ah9YWvKNm0jKjmdVYNeFYvxtZE/06OQodhwiaoZSrcPyXekI7eKCx+/3EzsOmREW2yYktagG\nm09fwWND/BDq3fTCUSISn1ZvwPJdaeju7oAFI/zFjkNERqw9ko3SayqsmNob1lYsj6jl8NVkIgRB\nwNs/pcHNQYYXxwaKHYeIjIhNyEdWeR2WTQ7lZhhEEpdfqcTn8ZcxLcKHPbWpxbHYNhE/XShGUv5V\nvDqxFzrY24gdh4iaUVGnxgcHLmF4kAfGhnga/wYiEtWK3XLYWFlgyYPBYkchM8Ri2wQo1Tr8Z68c\nfXw6YEZkN7HjEJER7/2SiQaNHm9OCeWiSCKJO5JZjgPyMjw/OhBeLuzwRS2PxfVgcYsAACAASURB\nVLYJ+ORwNsquqfH2w6FcFEkkcSmF1diSVIAnhvqhp6eT2HGIqBkanQH/3J0OP3cHzHvAT+w4ZKZY\nbEtcXoUSXxzjPDIiU3BjbYW7owwLx3BtBZHUfXMyD7kKJd58KBS21lxbQa2DxbbE/ffnDFhzHhmR\nSdiVUoKzV6rx6oRguNhxbQWRlFUpNVhzMAsje3lgdDA396HWw2JbwpLyqrAvrRTPjAjgPDIiiVPr\n9HhnXwZCurhgemRXseMQkRFrDmZBqdHhH5NCxI5CZo7FtkQJgoD/7JXD09kWTw7rIXYcIjIiNiEf\nhVcbsHRSMKy4toJI0vIqlNh4Kh8zB/oi0MtZ7Dhk5lhsS9TPqaU4e6Uafx8fBAeZtdhxiKgZ1fUa\n/O9QNoYHeWBYoIfYcYjIiHd+yYDM2hKLx3FtBbU+FtsSpNEZsGpfBnp5OeNRtvojkryPD2XjmkqL\n17m2gkjykvOrsPdiKZ4e7g9PZ07RpNbHYluCvkvMR35lPV7jx9FEkldQVY9vE/LxaP+uCOniInYc\nImqGIAj49x45PJxt8dQwf7HjUDvBYltiahq0WHMwC0N7umNkED+OJpK6d37JhKUl8PfxvcSOQkRG\n7PttiuZL44LgaMspmtQ2WGxLzPr4HFyt1+L1B0O48xyRxKUW1WDXhWI8+YA/Onfgx9FEUqbTG/Du\nL5kI9HTCDHYMojbEYltCKurU+OpEHh7q640wnw5ixyEiI977NRMd7G3w9Ah+HE0kdT+cLUJuhRIv\nT+gFayuWP9R2+GqTkLWHc6DWGbB4LFdHE0ldUl4VjmQq8MyIAG5gQyRxap0eHx3MQt+uHTA+lBvY\nUNtisS0RJTUN2JiYj+n9feDv4SR2HCJqhiAIePeXTHRyssVj93cXOw4RGbHlTAGKqhvw9/G9OEWT\n2hyLbYlYczAbgiDghTG8q00kdcezK5B4uQrPjwpgH3wiiWvQ6PG/Q9kY1MMNwwI7iR2H2iEW2xKQ\nX6nEtqQCRA/yRdeODmLHIaJmCIKA937JhI+rPaIH+4odh4iM+DYhD4paNV7mXW0SCYttCfjoQBas\nrSzw/KieYkchIiMOyMtxobAGL4zpCVtrK7HjEFEzalVarDuag+FBHhjUw03sONROsdgWWVZZLXac\nL8JjQ/zg6cLWYURSZhAEvP9rJnp0csT0/mwdRiR1G47nobpei5fHB4kdhdoxFtsi+9+hbDjYWGHB\niACxoxCREQlX6pFRWosXxwSydRiRxCk1Bnx5PBfjQr0Q3tVV7DjUjvHdQkSFNRrsTinGX4d0h5uj\nTOw4RNQMQRCwOeUqenRyxEN9vcWOQ0RG7MqowTWVDi+y8QCJjMW2iLZcrIbM2hJPDeOGGERSdyij\nHDlVGjw3MgBWllxkRSRlSrUOO9JrMDrYk5vEkehYbIvkSmU9DuXWIWZQd3RyshU7DhE1QxAErDmU\nDS8na0yN8BE7DhEZsfFUPq6pDVg4mo0HSHwstkWy9kg2rCwssIDbPBNJXnxWBS4UVGNmH1fYcK42\nkaQ1aPT4/FguIrrYI8K3o9hxiFhsi6GougHbzxZiYqAzvNiBhEjSBEHA/w5mwbuDHcYGOIsdh4iM\n2Hz6CirqNIjpy0WRJA23VWwbDAbo9XokJSVBo9G0diaz9+mRHADAjD48ERBJXUJuJZLyr+KZkQGw\nseJcbSIpU2n1+PRoDu7zd0OYl73YcYgAAEb3Gf73v/+NgIAAFBcXIy0tDZ06dcKqVavaIptZKrum\nwpakAjwa2RUejtzmmUjqPj6UDU9nW0QN6IbL2ZfEjkNEzdiWXIjyWjU+nNkP0CrEjkME4DbubF+8\neBGzZs3CuXPn8OWXX6K0tLQtcpmtDScuQ6c34NkRXLRBJHXnC6pxMqcSTw/3h50Nd4skkjKd3oD1\n8Tno7+uKIQHuYschamS02DYYDEhNTUXXrl2h0WigVCrbIpdZuqbSYtOpK5gc7g1fdwex4xCREevj\nc+BsZ41Zg3zFjkJERvycWoqCqgYsGBEACwtO+SLpMFpsP/LII1i+fDnmzZuHd999FzNnzmyLXGZp\nc+IV1Kp1WDCcHUiIpC6vQomfU0sx577ucLLllC8iKRMEAZ/F58C/kyPGhXiJHYfod4y+g8yePRsP\nP/wwioqKsHjxYjg48I7s3VDr9Nhw4jKG9nRng30iE/D5sVzYWFri8aF+YkchIiNO5lQitega/jut\nDyy56RRJjNFi+5dffsG6deug1+sxceJEWFhY4LnnnmuLbGblx/PFKLumxruP9hU7ChEZoahVY1ty\nIaZH+sDTme05iaTu06M58HC25aZTJElGp5F89dVX2Lp1K1xdXfHcc8/hwIEDbZHLrBgMAtbH5yKk\niwuGBXYSOw4RGfFtQh60egOeHMYpX0RSl1Zcg2NZFXhiqB8XMpMkGS22raysIJPJYGFhAQsLC9jb\ns2/lnTqUUY7s8jo8M8KfizaIJE6p1uHbhHyMC/FCgIeT2HGIyIj18blwlFlh9uDuYkchuiWjxXZk\nZCReeukllJWV4c0330SfPn3aIpdZWR+fCx9Xe0zq00XsKERkxNakAtQ0aLFgRIDYUYjIiMKr9did\nUoLoQb7oYG8jdhyiWzI6Z/ull15CfHw8QkNDERAQgFGjRrVFLrNx7spVnM6rwptTQmFjdVsbdhKR\nSHR6A744dhkDundEZPeOYschIiM2HM+DBYB5D/QQOwpRk4xWfzt37kRVVRU6deqEmpoa7Ny5sy1y\nmY0NJ/LgbGeNmQO7iR2FiIzYn16GouoGztUmMgG1Ki22JhVgcngXeLtyiitJl9E72zk5OQCu97CU\ny+VwdXXF1KlTWz2YOSitUeHniyV4/H4/OLJPL5HkfXUiD1072mNcKPv0Eknd98mFqFPr8MRQ3tUm\naTNaAf79739v/LcgCFiwYEGrBjInsafyoBcEzB3iJ3YUIjIitagGp/Oq8I9JIbBin14iSTMYBHxz\nMg8Rvq7o181V7DhEzTJabGs0msZ/KxQKFBYWtmogc6HS6rEp8QrGhnhxa3YiE/DViTw4yKwQxSlf\nRJJ3OLMceZX1eGl8L7GjEBlltNi+sZGNIAiws7PD/PnzjT6pXq/HsmXLcPnyZVhYWGD58uXQ6XRY\nsGAB/Pz8AADR0dGYNGkStm7diri4OFhbW+PZZ5/FqFGjoFKp8Morr6CyshKOjo5YtWoV3Nzc7vlg\n29KP54twtV6LJ7j7HJm4W43noKCgxv//+uuvsW3btsYxunz5cvj7m9acZ0WtGrsuFGPmwG7saEAm\nrz2M2a9O5KGzix0eDOssdhQio4wW24cOHbrjJz18+DAAIC4uDomJifjggw8wevRoPPHEE5g3b17j\n1ykUCsTGxmL79u1Qq9WIiYnB0KFDsXnzZgQFBWHhwoXYs2cP1q5di2XLlt1xDrEIgoCvTuQhuLMz\nhvi7ix2H6J7cajyvW7eu8f9TU1OxatUqhIWFiRXxnm1KvAKN3sCt2cksmPuYvVRWi+PZFXhlQi92\n+SKT0GSxPXPmzCY3YImLi2v2SceOHYuRI0cCAIqLi+Hi4oLU1FRcvnwZBw8eRPfu3bF06VKkpKQg\nIiICMpkMMpkMvr6+yMjIQHJyMp588kkAwPDhw7F27dq7PDxxJORWIqO0Fqum9+EmNmTybjWeb5aW\nlob169dDoVBg5MiRJreuQ6MzYGNiPkYEeXATGzIL5j5mvzqRB1trS0QP8hU7CtFtabLYXr169b09\nsbU1lixZgv3792PNmjUoKyvDjBkzEBYWhnXr1uGTTz5BcHAwnJ2dG7/H0dERdXV1qKura3zc0dER\ntbW1t/wZcrn8njK2lv8dKoWLrSV62dU2m1GlUkn2GO6EORyHORxDa/rjeL7Z5MmTERMTAycnJzz/\n/PM4fPhwk/34pfg7PpRbC0WtGmMHWxnNZw6vEx5D+9ASY1aKv+NatR4/JBdgpL8Tyq7koKyZrzWH\n14k5HANgPsdxt5ostn18fAAA+fn52LdvH7RaLQCgvLwc//znP2/ryVetWoWXX34ZUVFRiIuLg5fX\n9XZa48aNw4oVKzBgwAAolcrGr1cqlXB2doaTk1Pj40ql8k9X5TeEhITcVo62VFBVj8TCXDw7MgD9\n+gQ3+7VyuVySx3CnzOE4zOEYkpOTW/X5bx7Pe/bsgYODAwRBwGOPPdZ4cTxixAikp6c3WWxL8Xf8\n2qET8PdwxOzR/WFppAuJObxOeAzS0NrjFbj3MSvF3/FnR3Og1gtYPLkfgjvfuja4wRxeJ+ZwDIB5\nHMe9jFmjk51utP47e/YsCgsLUV1dbfRJd+7cic8++wwAYG9vDwsLCzz//PNISUkBACQkJKB3794I\nDw9HcnIy1Go1amtrkZOTg6CgIPTv3x9Hjx4FAMTHxyMyMvKuD7CtbTp9BQAwe3B3kZMQtYxbjWdL\ny+unjrq6OkyZMgVKpRKCICAxMdGk5oFeLKzBhYJqzL2vu9FCm8hUmOuYNRgEfJd4BYN6uBkttImk\nxOgCSQcHByxYsAB5eXlYuXIlYmJijD7p+PHj8frrr2P27NnQ6XRYunQpunTpghUrVsDGxgadOnXC\nihUr4OTkhDlz5iAmJgaCIGDx4sWwtbVFdHQ0lixZgujoaNjY2OD9999vkYNtbRqdAVvPFGBMiBd3\nsyKzcavxvH//ftTX12PmzJlYvHgx5s6dC5lMhiFDhmDEiBFiR75t3yXmw97GCtMiu4odhajFmOuY\nPZZdgStV9Xh5Atv9kWkxWmxbWFhAoVBAqVSivr4e9fX1Rp/UwcEBH3300Z8ev9XCyqioKERFRf3u\nMXt7+z/NMTMF+9JKUanUYPZgLtog89HUeL5h6tSpJrmr7DWVFj+eL8bDfb3hYsd2f2Q+zHXMbjyV\nD3dHGSb05g6vZFqanEby/fffQ6VS4fnnn8eBAwfwyCOPYOzYsRgyZEhb5jMp353KRzc3ewwP9BA7\nChEZseNsERq0evz1Pk75IpK6kpoGHJSXIWpgN9haW4kdh+iONHlnOzMzE5999hmGDh2KWbNmITg4\nGGPGjGnLbCYlq6wWiZersGRiMOd+EkmcIAjYeCof4V07oE/XDmLHISIjNp8ugAAghu3+yAQ1eWf7\nH//4B/bu3Yv77rsPq1evxqxZs7Bt2zY0NDS0ZT6T8V3iFdhYWSBqAOd+EkndmbyryCqvw1+5kJlI\n8rR6A+JOX8GIIA90c3MQOw7RHWu2G4mNjQ0mTpyI9evX46OPPkJ+fn5jo3z6f/UaHbafLcSDYV3g\n7mQrdhwiMmLjqXw421ljSt8uYkchIiMOystQXqtmly8yWUYXSKrVauzfvx87d+6EUqnEK6+80ha5\nTMruCyWoVek495PIBFTUqfFzaglmD+4OB5nRUyARiey7xCvw7mCH0cGeYkchuitNvtMkJiZi586d\nSExMxJgxY/Dqq68iKCioLbOZjI2J+QjycsJAv45iRyEiI7YlFUKrF9g1iMgEXK5Q4lhWBV4aFwQr\nrociE9Vksf3xxx8jKioKy5cvh0wma8tMJiW1qAYphTV4+6FQWFjwREAkZQaDgLgz1zfFCPRyFjsO\nERkRd+YKrCwtMGtgN7GjEN21Jovt2NjYtsxhsrYlFUBmbYm/RHBhJJHUnc6rQn5lPRaNDRQ7ChEZ\nodUbsD25CKODPeHpYid2HKK7ZnS7dmqaSqvHzvPFmNi7Mzo4cFMMIqnbeqYAzrbWmNibCyOJpO5I\npgIVdWpEDeBdbTJtLLbvwa/pZahp0GImP94ikrxrKi32ppbg4X7esJdxUwwiqduaVAAPZ1uM6sWN\n4si0sdi+B1vPFMDH1R5D/N3FjkJERuy6UAyV1sC7ZEQmoLxWhUMZ5ZjW3wfWVixVyLTxFXyXCqrq\ncSKnAjMGdOWOkUQmYGtSIXp5OSOcO0YSSd6Os0XQGwTMiOTFMZk+Ftt36fvkQgDAo5FcGEkkdZml\ntbhQUI2ogd3YNYhI4gRBwNakAgzo3hE9PZ3EjkN0z1hs3wWDQcD3yYV4oGcndO3IrWOJpG5rUgFs\nrCzwlwgfsaMQkRFnr1QjR6HklC8yGyy278KJnAoUVTfwREBkAjQ6A3acK8K4UC+4OXLPACKp23qm\nAA4yK0wOZ9cgMg8stu/C1qRCdLC3wbhQL7GjEJERB+VlqFJqMIMXx0SSp1TrsDulGFPCu8DRtsmt\nQIhMCovtO1RTr8UvaaWY2s8bdjZsH0YkdduSC9HZxQ7DA9k+jEjqfk4thVKj5yfHZFZYbN+hPRdL\noNEZMJ0LI4kkT1GrxtFLCkyN8IEVuwYRSd4PZwvh5+6AyO4dxY5C1GJYbN+hneeKEODhiD4+bB9G\nJHW7U4qhNwiY1p8LI4mkrqSmAQm5lZga4cOuQWRWWGzfgYKqepzOq8K0/l15IiAyATvOFaG3twuC\nvJzFjkJERvx4vhiCAHYNIrPDYvsO7DxXBAB4pJ+3yEmIyJjs8jqkFNbwjZvIBAiCgB1nixDZvSO6\nuzuKHYeoRbHYvk2CIGDHuSIM6uHG3tpEJmDnuSJYWgAP9+XFMZHUpZdcQ2ZZLaby4pjMEIvt25RS\nWIPcCiWm8URAJHkGw/WL4wcCPeDpYid2HCIyYue5IthYWWBKH/bWJvPDYvs27ThXBJm1JR7kiYBI\n8pLyr6KouoEXx0QmQG8Q8OP5Yozq5YmO3HiKzBCL7dug1Ruw60IxxoZ4ooO9jdhxiMiIHecK4SCz\nwvje3HiKSOpOZFegvFbN9RVktlhs34b4SwpUKjX4SwR7axNJnUqrx+6UEkzs3RkOMu5ARyR1O84V\nwcXOGqNDPMWOQtQqWGzfhh3nitDRwQYjgrgDHZHUHc4oR61Kh7+wtzaR5CnVOuxLLcXkcG/YWnNX\nZjJPLLaNqFPrsD+9DFPCvSGz5q+LSOp2ni+Cp7Mt7g/oJHYUIjLigLwMDVo9p5CQWWP1aMSB9DKo\ndQY8zN7aRJJ3TaXF4UwFJod34fbsRCZg14VidOlghwHcnp3MGIttI26cCCJ9eSIgkrr9aWXQ6Ax4\niL21iSSvpl6Lo5cUmBLeBZa8OCYzxmK7GTX1WsRnKTC5D08ERKZgd0oxfFztEdHNVewoRGTEL+ml\n0OoFTAnnxTGZNxbbzWg8EfAuGZHkVddrcCyrAlPCu8DCghfHRFK3O6UEvm4OCO/aQewoRK2KxXYz\ndqeUoJubPfryREAkeftSS6EzCJxCQmQCqpQanMjmxTG1Dyy2m1BZp/7tRODNEwGRCdidUgI/dwf0\n9nYROwoRGfFzagn0Bk4hofaBxXYT9qWV/nYi4PbsRFKnqFXjZA4vjolMxe4LJfD3cERIF2exoxC1\nOhbbTbhxIgjtwrtkRFK3L7UEBgGcQkJkAsqvqXDqciUe4sUxtRMstm/hxomAd8mITMOulBIEejqh\nV2feJSOSur0XSyAIwEN9+ckxtQ8stm+h8UTAKSREkldao8KZvCrO/SQyEbtTShDc2Rk9PXlxTO0D\ni+1buHEiCPTiiYBI6vb8dnE8hXfJiCSvuLoBSflXOeWL2hUW239Qdk2FpPyrmNSHb9xEpuDni9cv\njgM8nMSOQkRG7EstBQC+x1K7wmL7D35Nu34ieDCss8hJiMiY8msqJF+5igfD+MZNZAr2pZUiuLMz\nenRyFDsKUZthsf0H+9JKEeDhyCkkRCbg1/QyCALwYB9eHBNJnaJWjTN5VZjIm1nUzrDYvslVpQan\ncnkiIDIV+1JL4d/JEYGenEJCJHX7f7s45nsstTcstm+yX14GvUHAxN78SJpI6qrrNUjIrcSEsM5s\n0UlkAvallcLP3QG9+MkxtTPWrfGker0ey5Ytw+XLl2FhYYHly5fD1tYWr732GiwsLBAYGIi33noL\nlpaW2Lp1K+Li4mBtbY1nn30Wo0aNgkqlwiuvvILKyko4Ojpi1apVcHNza42ov/NLail8XO0R5sON\nbIhuuNV4DgoKavz/Q4cO4ZNPPoG1tTWmT5+OqKioNsl1QF7+28Ux75IR3UyKY7amXouT2RWYP6wH\nL46p3WmVO9uHDx8GAMTFxWHRokX44IMPsHLlSixatAibNm2CIAg4ePAgFAoFYmNjERcXhy+//BKr\nV6+GRqPB5s2bERQUhE2bNmHq1KlYu3Zta8T8nVqVFseyKjCRd8mIfudW4/kGrVaLlStXYsOGDYiN\njcWWLVtQUVHRJrn2pZbAu4Mdwrt2aJOfR2QqpDhmD2aUQWcQuJiZ2qVWubM9duxYjBw5EgBQXFwM\nFxcXnDx5EoMGDQIADB8+HCdOnIClpSUiIiIgk8kgk8ng6+uLjIwMJCcn48knn2z82qaKbblc3mKZ\nj1yug0ZvQLCTukWftzkqlarNflZrMofjMIdjaC23Gs835OTkwNfXFx06XC94IyMjcebMGTz44IO3\nfK6W+h3Xaw04mqnApF7OyMjIaJHnvB3m8DrhMZi/lhqzLfk73pZQik4OVrCpLYZcXtJiz9scc3id\nmMMxAOZzHHerVYptALC2tsaSJUuwf/9+rFmzBidOnGi8Y+zo6Ija2lrU1dXB2fn/5245Ojqirq7u\nd4/f+NpbCQkJabG8H589Cw9nW0wf3g+Wlm1zZ1sul7foMYjFHI7DHI4hOTm51Z77j+P5hqbGcFNa\n6ne8O6UYWkMeYoaFIsTfvUWe83aYw+uExyANrTlegZYZsy31O1aqdTj7XR6iB/mid2hoizzn7TCH\n14k5HANgHsdxL2O2VRdIrlq1Cr/88gveeOMNqNXqxseVSiVcXFzg5OQEpVL5u8ednZ1/9/iNr21N\nKq0ehzPLMT7Uq80KbSJTc/N4rq+vB4Amx3Br25daCndHGQb4tf5aDiJTJZUxe/SSAmqdARO4voLa\nqVYptnfu3InPPvsMAGBvbw8LCwuEhYUhMTERABAfH48BAwYgPDwcycnJUKvVqK2tRU5ODoKCgtC/\nf38cPXq08WsjIyNbI2aj+EsK1Gv0bEdEdAu3Gs+WltdPHQEBAcjPz0d1dTU0Gg2SkpIQERHRqnlU\nWj0OZ5RjfG8vWPHimOhPpDZm96WWws1RhoF+HVv15xBJVatMIxk/fjxef/11zJ49GzqdDkuXLkVA\nQADeeOMNrF69Gv7+/pgwYQKsrKwwZ84cxMTEQBAELF68GLa2toiOjsaSJUsQHR0NGxsbvP/++60R\ns9G+tFJ0sLfBfW34cTSRqbjVeN6/fz/q6+sxc+ZMvPbaa5g/fz4EQcD06dPh5eXVqnmOZ1VAqdFj\nIhdaEd2SlMasWqfHoYxyTAnvAmsrdhum9qlVim0HBwd89NFHf3p848aNf3osKirqT22H7O3tfzfH\nrDXp9AYclJdjTIgnbHgiIPqTpsbzDaNHj8bo0aPbLM+v6aVwtrXGEF4cE92SlMbsyZxK1Kl1nEJC\n7Vq7ry6T8q+ipkGLcSGtezeOiO6dwSDgUEY5RgZ7Qmbd7k9fRJJ3IL0MDjIrDAngxTG1X+3+3eqg\nvAwyK0sMC/IQOwoRGXG+sBoVdRqMDfEUOwoRGSEIAg7KyzEssBPsbKzEjkMkmnZdbAuCgP3pZbgv\nwB1Otq3WBZGIWsiB9DJYWVpgZBCLbSKpSyu+htJrKozlJ8fUzrXrYjtHoUReZT3G8S4ZkUk4KC/H\nQL+O6OBgI3YUIjLigLwMFhbAqGC+x1L71q6L7YPyMgDAaF51E0leQVU9MstqeZeMyEQckJehv29H\ndHKyFTsKkajadbF9QF6G0C4u8HG1FzsKERlx4LeLYxbbRNJXUtOA1KJrGMNPjonab7FdpdQgOf8q\nF1oRmYgD8jL09HSCXydHsaMQkREH5eUAwE5fRGjHxfbhjHIYBGBsKE8ERFJ3TaVFYm4V72oTmYiD\n8jJ0d3dAT08nsaMQia7dFtsHM8rg6WyLMO8OYkchIiOOZiqgMwj8JIrIBNRrdDiRU4kxwV6wsLAQ\nOw6R6Nplsa3W6XE0U4ExIV6wtOSJgEjqDsrL4OYoQ4RvR7GjEJERx7IqoNEZMDaUF8dEQDsttk/l\nVkGp0fMuGZEJ0OkNOJypwKhenrDixTGR5B1IL4OznTUG+rmJHYVIEtplsX1QXgY7G0sM7dlJ7ChE\nZERS/lXUNGgxjnfJiCRPbxBwKKMco3p5wsaqXZYYRH/S7kbCje1jH+jJ7WOJTMGhjHLIrCzxQKCH\n2FGIyIiUwmpUKjVs+Ud0k3ZXbOco6lBU3YCRvXgiIDIFRzLLMbBHRzjZWosdhYiMOJKpgKUFMJwX\nx0SN2l2xfSRTAQAY2YsnAiKpK65uwKWyOowM4sUxkSk4ckmBvt1c0dFRJnYUIslol8V2oKcTunZ0\nEDsKERnBi2Mi01FZp0ZKYTUvjon+oF0V20q1DqcvV/GNm8hEHMksh4+rPTfGIDIBx7IqIAi8OCb6\no3ZVbCfkVEKjN3C+NpEJ0OgMOJFdgRG9PLgxBpEJOJJZDndHGfr4cLM4opu1q2L7yKVyOMisMMCP\nG2MQSV1S/vV++CODeJeMSOoMBgHxWRUYHuTBzeKI/qDdFNuCIOBIpgL3B3SCrTVb/hFJ3dFMBWys\nLHA/++ETSV5KUQ2qlBpOISG6hXZTbOcolCi82sATAZGJOJKpwEA/N7b8IzIBRzLLYWEBDGPLP6I/\naTfF9pHMcgBcuEFkCoqrG5BZVsvxSmQijmQq0LerK9zY8o/oT9pNsX30kgI92fKPyCQcvXSj5R8X\nMxNJXZVSgwuF1bw4JmpCuyi26zU6JOZWcaEVkYk4klkO7w52CGTLPyLJO5al+K3lHy+OiW6lXRTb\nbPlHZDqut/yrxIhenmz5R2QCjmQq4OYoQzhb/hHdUrsoto9kKuAgs8LAHmz5RyR1yflXUafW8SNp\nIhNgMAiIv6TA8MBObPlH1IR2UWzHZykwxN+dLf+ITEB8lgLWlhYYypZ/RJKXVnwNlUoNRvDimKhJ\nZl9sF1TVI7+yHsMC+cZNZAqOZ1Wgv29HtvwjMgHHsq8vZn6gJ4ttoqaYb1WNPQAAEW1JREFUfbF9\nLKsCAPAAi20iybuq1CC1uIbjlchEHM+qQHBnZ3g424odhUiyzL7YPp6tQGcXOwR4sKsBkdSdyKmA\nIIBTSIhMQINGj6S8q3iA45WoWWZdbOsNAk7mVOKBwE7sakBkAo5nVcDZzhp9u7KrAZHUncmrgkZv\n4CdRREaYdbGdVlyD6not52sTmQBBEHAsqwJD/N1hbWXWpyYis3A8uwIyK0sM7uEudhQiSTPrd7Qb\n87XvD2CxTSR1eZX1KKpu4MUxkYk4llWByO4dYS9jpy+i5ph1sc2FG0Sm43j2jcXM7GpAJHWKWjXk\nJdc4hYToNphtsd2g0SM5/yrvkhGZiONZCvi42sPP3UHsKERkxMmc6xfHfI8lMs5si+3Ey5W/Ldzg\nXTIiqdPpDdcXM/fkYmYiU3AsqwId7G3Q25uLmYmMMdti+8RvCzcG+bmJHYWIjEgpqkGtSsePpIlM\ngCAIOJFdgaE93WHFLdqJjDLbYpsLN4hMx/GsClhYsL82kSnIUShRUqPirpFEt8ksi21FrRoZpbW8\nS0ZkIo5nVaC3twvcHGViRyEiI45nXd+infO1iW6PWRbbJ7K5cIPIVNSpdTh75SrvkhGZiOPZFeju\n7oBublzMTHQ7zLLYPp5dAVcHLtwgMgWnL1dCZxB4cUxkArR6A07lVnGLdqI7YHbFtiAISMipxBB/\nLtwgMgUnsyshs7ZEZPeOYkchIiMuFtWgTq3j+gqiO2B2xXZBVQOKqhtwnz+3jyUyBQm5lYjo5go7\nGy5mJpK6hJxKAMDgHuz0RXS7rFv6CbVaLZYuXYqioiJoNBo8++yz6NKlCxYsWAA/Pz8AQHR0NCZN\nmoStW7ciLi4O1tbWePbZZzFq1CioVCq88sorqKyshKOjI1atWgU3t9sf1Am51+drDwlgsU3UEm41\npseMGdP4/19//TW2bdvWOE6XL18Of3//23ru6noN0kuu4cUxga2Snag9as0xeyq3Er28nOHuxJ2Z\niW5XixfbP/30E1xdXfHuu++iuroaU6dOxd/+9jc88cQTmDdvXuPXKRQKxMbGYvv27VCr1YiJicHQ\noUOxefNmBAUFYeHChdizZw/Wrl2LZcuW3fbPT8ipRCcnGQI9nVr60IjapVuN6ZvfuFNTU7Fq1SqE\nhYXd8XMnXq6CIABD+EkUUYtprTGr0RmQlHcVMwd2a+nIRGatxYvtiRMnYsKECQCuz5+2srJCamoq\nLl++jIMHD6J79+5YunQpUlJSEBERAZlMBplMBl9fX2RkZCA5ORlPPvkkAGD48OFYu3btbf9sQRCQ\nkFuJwf7u3IWOqIXcakzfLC0tDevXr4dCocDIkSOxYMGC237uhJxK2Fpbop+va4tmJmrPWmvMXiis\nRoNWz2maRHeoxYttR0dHAEBdXR1eeOEFLFq0CBqNBjNmzEBYWBjWrVuHTz75BMHBwXB2dv7d99XV\n1aGurq7x8f9r795ioyr3Po7/hh44dFoKu+IJaAtIqPj2VVq6tyFCMGFjFAQjxYARk3IBiCJFsBUF\nwVaiiXKhkQgGvSBGnBBv9oXRC9HmjW2BCeV8entAzqWn3c7sHumzL/amm0PZFJjFWs/w/Vx1pp2Z\n/zNr/Tr/NfOsZxISEtTS0nLDxzpy5MhVl880d+pCc7vSB3Ve9zsvamtrs6LOm4mGcUTDGJzSW6av\n9Nxzz2n+/Pny+/16/fXXtXPnTk2dOrXX+7r2Of7tyFll3NdfVSeOO1N8hEXDfsIYol+kMnvtc/y3\nfY3ySRraVacjRxodqz9SomE/iYYxSNEzjtsV8WZbks6dO6elS5dq/vz5mjlzppqbm5WUlCRJmjZt\nmoqKipSdna1wONxzm3A4rMTERPn9/p7rw+Fwz+16k5GRcdXlveV/SDqlFyaN1+j7vD+N5MiRI9eN\nwUbRMI5oGEMwGHTsvq/N9GXGGL366qs9B8hTpkzR4cOHb9hsX/kcN4Q7VN1YpZV/HauMDDvmbEfD\nfsIYvMHJvEqRyey1z/H//1+ZMh5MUs7jtz5lzA3RsJ9Ewxik6BjHnWQ24quR1NXVKS8vT6tWrdKc\nOXMkSQsXLtT+/fslSaWlpRo/frwyMzMVDAbV3t6ulpYWVVZWauzYsZowYYJ+++03SVJJSYmysrL6\n/NilVfUalthfo1ISIj0s4J7VW6YvC4VCmjFjhsLhsIwxKi8v7/M80PKqf61qwMnMQGQ5kdn2rksK\nnmxkCglwGyL+zvaXX36p5uZmbdq0qWe+dWFhoTZs2KC4uDilpKSoqKhIfr9fr7zyiubPny9jjPLz\n89W/f3/NmzdPBQUFmjdvnuLi4vTpp5/26XEvr689aQzztYFI6i3Tubm5am1t1UsvvaT8/HwtWLBA\n8fHxevLJJzVlypQ+3W9pVb0GxccoczjztYFIciKze/9oUntXNwfHwG2IeLP93nvv9bp6yPbt26+7\nbu7cuZo7d+5V1w0cOFCfffbZLT9u5cWQ6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.0 is the labor force growth rate n\n", "0.0 is the efficiency of labor growth rate g\n", "0.03 is the depreciation rate delta\n", "0.15 is the savings rate s\n", "0.5 is the decreasing-returns-to-scale parameter alpha\n" ] } ], "source": [ "# plot the results...\n", "\n", "fig = plt.figure(figsize=(12, 12))\n", "\n", "ax1 = plt.subplot(2,3,1)\n", "sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", "plt.ylabel(\"Values\")\n", "\n", "ax2 = plt.subplot(2,3,2)\n", "sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", "ax3 = plt.subplot(2,3,3)\n", "sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "\n", "ax4 = plt.subplot(2,3,4)\n", "sg_df.Output.plot(ax = ax4, title = \"Output\")\n", "plt.xlabel(\"Years\")\n", "plt.ylabel(\"Values\")\n", "\n", "ax5 = plt.subplot(2,3,5)\n", "sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", "plt.xlabel(\"Years\")\n", "\n", "ax6 = plt.subplot(2,3,6)\n", "sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", "plt.xlabel(\"Years\")\n", "\n", "plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", "plt.show()\n", "\n", "print(n, \"is the labor force growth rate n\")\n", "print(g, \"is the efficiency of labor growth rate g\")\n", "print(delta, \"is the depreciation rate delta\")\n", "print(s, \"is the savings rate s\")\n", "print(alpha, \"is the decreasing-returns-to-scale parameter alpha\")\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Function creation ran without visible errors\n" ] } ], "source": [ "# we are going to want to see what happens for lots of\n", "# different model parameter values and initial conditions,\n", "# so stuff all of that inside a function, so we can then\n", "# invoke it with a single line...\n", "\n", "def sgm_200yr_run(L0, E0, K0, n=0, g=0, s=0.15, alpha=0.5, delta=0.03, T = 200):\n", "\n", " sg_df = pd.DataFrame(index=range(T),columns=['Labor', \n", " 'Efficiency',\n", " 'Capital',\n", " 'Output',\n", " 'Output_per_Worker',\n", " 'Capital_Output_Ratio'],\n", " dtype='float')\n", "\n", " sg_df.Labor[0] = L0\n", " sg_df.Efficiency[0] = E0\n", " sg_df.Capital[0] = K0\n", " sg_df.Output[0] = (sg_df.Capital[0]**alpha * (sg_df.Labor[0] * sg_df.Efficiency[0])**(1-alpha))\n", " sg_df.Output_per_Worker[0] = sg_df.Output[0]/sg_df.Labor[0]\n", " sg_df.Capital_Output_Ratio[0] = sg_df.Capital[0]/sg_df.Output[0]\n", "\n", " for i in range(T):\n", " sg_df.Labor[i+1] = sg_df.Labor[i] + sg_df.Labor[i] * n\n", " sg_df.Efficiency[i+1] = sg_df.Efficiency[i] + sg_df.Efficiency[i] * g\n", " sg_df.Capital[i+1] = sg_df.Capital[i] - sg_df.Capital[i] * delta + sg_df.Output[i] * s \n", " sg_df.Output[i+1] = (sg_df.Capital[i+1]**alpha * (sg_df.Labor[i+1] * sg_df.Efficiency[i+1])**(1-alpha))\n", " sg_df.Output_per_Worker[i+1] = sg_df.Output[i+1]/sg_df.Labor[i+1]\n", " sg_df.Capital_Output_Ratio[i+1] = sg_df.Capital[i+1]/sg_df.Output[i+1]\n", "\n", " \n", " fig = plt.figure(figsize=(12, 12))\n", "\n", " ax1 = plt.subplot(2,3,1)\n", " sg_df.Labor.plot(ax = ax1, title = \"Labor Force\")\n", " plt.ylabel(\"Values\")\n", "\n", " ax2 = plt.subplot(2,3,2)\n", " sg_df.Efficiency.plot(ax = ax2, title = \"Efficiency of Labor\")\n", "\n", " ax3 = plt.subplot(2,3,3)\n", " sg_df.Capital.plot(ax = ax3, title = \"Capital Stock\")\n", "\n", " ax4 = plt.subplot(2,3,4)\n", " sg_df.Output.plot(ax = ax4, title = \"Output\")\n", " plt.ylabel(\"Values\")\n", " plt.xlabel(\"Years\")\n", "\n", " ax5 = plt.subplot(2,3,5)\n", " sg_df.Output_per_Worker.plot(ax = ax5, title = \"Output per Worker\")\n", " plt.xlabel(\"Years\")\n", "\n", " ax6 = plt.subplot(2,3,6)\n", " sg_df.Capital_Output_Ratio.plot(ax = ax6, title = \"Capital-Output Ratio\")\n", " plt.xlabel(\"Years\")\n", "\n", " plt.suptitle('Solow Growth Model: Simulation Run', size = 20)\n", "\n", " plt.show()\n", " \n", " print(n, \"is the labor force growth rate: n\")\n", " print(g, \"is the efficiency of labor growth rate: g\")\n", " print(delta, \"is the depreciation rate: delta\")\n", " print(s, \"is the savings rate: s\")\n", " print(alpha, \"is the decreasing-returns-to-scale parameter: alpha\")\n", "\n", "print(\"Function creation ran without visible errors\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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dujRDO4YPH35X5yI2NpYxY8Zw6dIlLl68SMmSJZk5c6b5OYODgzly5AjJycm8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\nbu7cuZo7d+5V1w0cOFCfffbZLT9u5cWQ6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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# and repeat our calculations to see if we have gotten it right...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 5000)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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RI0awZMmSTO0YNmzYLR2LuLg4xowZw4ULFzh//jzlypVjxowZ1n0uWrSII0eO\nkJKSQp8+fejSpQuQfuGyYMEC7O3tKVOmDKNHj6ZSpUoMHz6cS5cuER0dzRNPPMHQoUPz/gkUAaKj\no1m9ejXbt2/H1dUVgOLFi/Puu++yd+9e4Mbvrz4+PvTu3ZudO3eSmJjIG2+8QZs2bVi+fDlr167l\n1VdfZcmSJaSlpeHm5sbLL7/M2LFjOXXqFJcvX8bFxYUPP/yQRx99NMcYz58/T2pqKikpKTg6OuLm\n5sbkyZOxWCzs378/U/1DhgzJ8X39/PnzhISEcOLECezt7enevTu9evWy7ufq1au8+eabODo6MmnS\nJBwdlTbeKR3Be1hYWBgdO3akQ4cOpKam0qlTJzZv3kxgYCAA5cuX57333uPo0aP07NmTH3/8kU2b\nNrFt2za+/fZbihcvzqxZsxg+fDiff/45ACVKlOCHH37Idn9JSUl06NDB+tjBwYHly5dz/PhxQkJC\nWLJkCRUqVCA8PJxXX33V+jFWbGws33//PY6Ojnz11VccOnSIlStX4uzszBtvvGHd39GjR/nmm29w\ndHRk6dKljBo1qtD2EMq9rXfv3tjb/ztSr3z58nz88ccsWrQIb29va494dHQ0VatW5YUXXmDWrFnW\n8m+88QZdunShR48enDlzhp49e9K0aVPr+lOnTjF9+nS++uorSpUqxZ9//kmfPn1Yt24dALt27eK7\n777D1dWVV155haVLlzJo0KBs6/3uu+9wd3dn27ZtNGvWjDVr1tCoUaNMSTfAnDlzOHfuHCtXrsTB\nwYF33nmHyZMn895773Hs2DFrO27VmjVrqFOnDi+99BKGYfDSSy+xcuVK+vbtC0CRIkVYsWIFZ8+e\npWPHjtSuXZu4uDg+++wzli5dioeHB8uXL2fAgAGsWbMGSP8fk/G3SH45fPgwVapUsSbdGcqWLUub\nNm2AG7+/pqWlUbJkSZYvX86RI0d47rnnqF+/vrWe2rVr0717d/7++2+GDBnCTz/9RIkSJQgLCwNg\nzJgxfP3114wePTrHGPv06cOrr76Kv78/tWvXpl69egQGBuLj4wOQqf5ly5bl+L7+7rvv8sgjjxAa\nGkp8fDxBQUE0a9YMSL8Yf/311/H09GT06NHY2dnl6XG+XynxvocNHTqUX375hXnz5nHq1CnOnTtH\nYmKidX1QUBAAJpOJypUrs3fvXrZu3UqnTp0oXrw4AL169WLu3LnWcW3X/vO4Xk5DTSIiIvD396dC\nhQoANGoGu2mYAAAgAElEQVTUCA8PD37//XcA6tSpY72K3rFjBx06dKBo0aJAeq88wOuvv87Bgwfp\n3LkzABaLhX/++Sf3B0fkDtxoqMnNXLp0iSNHjtC1a1cAHnroITZs2JCpzC+//MK5c+d4/vnnrcvs\n7Ow4ffo0AA0bNrQmBT4+Ply+fPmG9fbo0YOwsDCaNWvG0qVLefvtt7PEtXXrVoYMGYKTkxOQPsZz\nwIABuWojpF+c7Nq1i/nz53Pq1Cn+/PNPateubV3fvXt3ADw9PQkICCA8PJy//vqLdu3aWY9tp06d\nmDBhgnX8vJ+fX67jEblV9vb2WCyWG5a52fvrc889B0C1atUwmUz89ttvOdbVtm1bKlSowIIFC4iK\niuLXX3+96b1bDz74IMuXL+fYsWPs3LmTnTt38uyzzzJ8+HB69OiRqeyN3td37Nhh/fTIzc2N77//\n3rrdpEmTSEhIYP369Uq685AS73vYG2+8QVpaGk8++SRPPPEEZ86csd54AWTqsTMMA0dHx0zrIT3B\nvXr1qvVxxol7O66vM2NZRr3X1nn9x1hxcXFYLBYsFgv9+vUjODgYgJSUFI1fk7tSxmv82jeyEydO\n8PDDD1sfWywWGjVqZL3wBDhz5gwPPPAA69evt16YZtSTcf7mVG/79u2ZNm0aERERJCYm0qBBgyxx\nXZ9oWCwWUlNTc93OKVOmcODAATp37sxjjz3G1atXb/v/T8a67P5XiOQXX19fTpw4gdlsztTrffbs\nWUaPHs3MmTMZPnz4Dd9fHRwcrH9bLJZMj6+3aNEiwsLC6NGjB+3bt8fd3d16sZmTyZMn07VrV6pU\nqUKVKlXo0aMHK1euZN68eVkS7xu9rzs6Omb6nxEdHU2pUqUAePrppzEMg1GjRjF37twbxiO3TrOa\n3MO2b9/OgAEDaNeuHXZ2duzfv5+0tDTr+hUrVgBw6NAhoqKiqF27NgEBASxfvtx65b5gwQIaNGiA\ns7NzruPw9/fnl19+ITo6GoDw8HDOnDmTqfcrQ6NGjfj+++9JSUnBYrEwduxY1qxZQ0BAAN9++y1m\nsxmAjz76KNteO5HCztXVlRo1avDdd98B6Ql1UFAQ8fHx1jIZ58zx48cB2LJlC08//TTJycm5qrdY\nsWI8/fTTjBw50trTfL0mTZqwZMkSUlNTsVgsfP311zRu3DjX7dy+fTu9e/emY8eOlC5dmh07dmT7\n/+f//u//2LFjB40aNSIgIIAffvjBOkvKsmXLcHd3p2LFirmOQ+R2eXp60r59e0aOHGl9zzGbzYwd\nOxZ3d3eKFi160/fXjPPw0KFDnDx5MsvFroODgzX53b59O8888wxdu3alUqVK/Pzzz5nqys7Fixf5\n6KOPrJ/8GobByZMnrUNNrq3/Ru/rjRo1YtmyZQDWGzRPnToFpF+ADB48mNOnT1uHwcidU4/3PSAx\nMTHLx1JLlixhyJAhDBgwgJIlS1KsWDEaNGhg/aga0q9sO3bsiJ2dHdOmTcPd3Z0uXbpw5swZunbt\nisVioWLFinz44Yd3FF+VKlUICQnhtddeIy0tjaJFizJ37lzc3NyylO3evTuxsbF06tQJwzBo2LAh\nPXv2xN7enrNnz9KtWzfs7Ox46KGHmDhx4h3FJZJb14/xhvRPmDLGRt7M1KlTeffdd1mwYAF2dnZM\nmDCBsmXLWtdXrVqV9957jzfeeMPaGzxnzpyb9vjeqN5OnTpZx6Vmp3///kyaNImOHTty9epVfH19\nbzjG9FoZMzVkmDZtGgMGDGDy5MmEhobi4OBAvXr1Mv3/SU5O5plnniE1NZVRo0ZRqVIlKlWqxPPP\nP0/v3r2xWCx4eHjwySefZDnWIvktJCSE0NBQunfvjoODAykpKbRq1YqBAwcC3PT9dc+ePYSFhWGx\nWJg+fTolS5bMVH+jRo0YOHAgTk5O9O3blzFjxrB8+XIcHByoUaMGR48evWl806dP5+mnn8bZ2Zmr\nV6/i7+/PmDFjstT/zjvv5Pi+PmbMGMaOHUv79u0xDIOXX36ZmjVrWvdTpEgRJk6cSN++ffH398fL\nyytPju/9zM7I7rM9ERG5ZxiGwbx584iNjeXdd98t6HBE7mne3t6Eh4fn+j4Qubepx1tE5B7XsmVL\nPDw8mDNnTkGHIiJyX1OPt4iIiIiIDWjgnIiIiIiIDSjxFhERERGxgbt2jPfu3bsLOgSRQqcwf8GI\nzlmRzHS+itxd8uKcvWsTbyjc/7QiIyOpXr16QYeRLcWWe4U5vrvhjbKwnrOF+XktzLFB4Y6vMMem\n8zX3CvPzCoU7PsWWe3l1zmqoiYiIiIiIDSjxFhERERGxASXeIiIiIiI2oMRbRERERMQGlHiLiIiI\niNiAEm8RERERERtQ4i0iIiIiYgNKvEVEREREbECJt4iIiIiIDdzV31wpIiJyr0pNTWXkyJHExsaS\nkpJC//79eeihh3j55Zd55JFHAAgKCqJdu3aEhYWxZMkSHB0d6d+/P82bNycpKYmhQ4dy4cIFXFxc\nmDRpEh4eHuzbt48JEybg4OBAQEAAr732WsE2VOQ+osRbRESkEFq1ahXu7u5MmTKFS5cu0bFjRwYM\nGECfPn3o27evtdz58+dZsGABy5YtIzk5meDgYBo3bszixYsxmUwMHDiQNWvWEBoayqhRowgJCWHW\nrFlUqFCBl156icOHD+Pj41OALRUAwzBISbOQmmaQZjGwWAzSjH9/py/D+rdhZF1uMQwMw1rj/+rN\n+AtOnf2H+KIXMQzDuiyjvMG/Ba9dZ1xTT8Y6438PrtvVHTkdk8hfduduqayRFzu8DXZ2dpTIo7qU\neIuIiBRCbdu2JTAwEEhPdBwcHPj99985efIkGzdupGLFiowcOZIDBw5Qt25dnJ2dcXZ2xsvLiyNH\njrB792769esHQNOmTQkNDcVsNpOSkoKXlxcAAQEB7NixI9vEOzIy0naNvQ1JSUmFIjbDMEhMNbiU\nlMblpDTr78uJKaTs/YV/Ui0kphr/+23hn1QLyWkGqWkGqZbMv1PSDK5abBX5GVvtKBf+KugAcrSs\n64N5Uo8SbxERkULIxcUFALPZzKBBgxg8eDApKSl07dqVmjVrMmfOHD7++GOqVauGm5tbpu3MZjNm\ns9m63MXFhfj4eMxmM66urpnKRkdHZ7v/6tWr52Prci8yMtJmsf2TksbRs/EcP28m+uI/xPydSPTf\nicT8/Q/nriSTkpZ9tmxnBy7OjrgUccC1iCOuRZxxL+FIUScHijja4+xoj7PD/37/76eIY/o6Jwc7\n7O3scLBP/7H+bWeHvb0dDvZgb/fv8n/LpvfM2pH+G8DumnjssOP06SgqVqz477r/FbD73x/p5TK2\nyW6ZtYXWv68vn1unTp7kkUqVbrn8ne3t9tjb2ZFy9lie1KXEW0REpJA6c+YMAwYMIDg4mPbt23Pl\nyhVKlEj/0Lt169aMGzeO+vXrk5CQYN0mISEBNzc3XF1drcsTEhIoUaJEpmXXLhdIvprGwZjL/Hbq\nb/ZHX+LIX1eIuph4zdAN8CxRhPKlilO/Yik8SxSljGsRSrs6U9q1CKVdnPFwcebM6RPUremDvb0t\nU8NbE3n1PNWrlCnoMLJVxFyU6hXcCzqMHO0+mzf1KPEWEREphOLi4ujbty9jxoyhUaNGALzwwguM\nHj0aX19fwsPDqVGjBr6+vsyYMYPk5GRSUlI4fvw4JpOJevXqsWXLFnx9fdm6dSt+fn64urri5OTE\n6dOnqVChAtu3b7+vb648ft7MhsNn2XjkHPuiL5Hyv/Eelcq4UP2hEnSsW45qD5agygOulC9VjKJO\nDjet8/IZ+0KZdEvhoMRbRESkEJo7dy5XrlwhNDSU0NBQAIYPH87777+Pk5MTZcqUYdy4cbi6utKz\nZ0+Cg4MxDIMhQ4ZQpEgRgoKCGDZsGEFBQTg5OTF16lQA3n33Xd566y3S0tIICAigdu3aBdlMm4u9\n9A/Ld8ewYm8sJ+LSe/99HirB848/Qv2KpfCrWIrSrkUKOEq5VynxFhERKYRGjRrFqFGjsixfsmRJ\nlmXdunWjW7dumZYVK1aMmTNnZilbp04dwsLC8i7Qu4BhGOw4foFPt55g65/nMQxo9Ghp+jR+hJbV\nPXnYvVhBhyj3CSXeIiIick8yDINNf5xj+vo/ORh7mbJuRRjUoipd/MpTwaN4QYcn9yEl3iIiInLP\nOfx/Vxi/5jA7jl+gYunifNCpFs/ULXdL47RF8osSbxEREblnpFy1MOvnPwndfJwSRR0Z296HHv4V\ncXKwL+jQRJR4i4iIyL3h2Dkzry3aw5G/4ulUrxxjnvLBvbhzQYclYqXEW0RERO566w79xRth+3F2\ntGder/q09vEs6JBEslDiLSIiIne1T7ce5/0fjuBbviRzn/PTLCVSaCnxFhERkbuSYRhMWfsHoZuP\n8x/fh5jatbZunpRCTYm3iIiI3HUMw2DCmkg+236SoIZejO9YEwd9Y6QUckq8RURE5K4Tuvk4n20/\nyfOPP0JIex/s7JR0S+GnuXVERETkrvLt7himrP2DDnUeZsxTSrrl7qEebxEREblr/BGXxMi1p2hc\npTRTutTGXsNL5C6iHm8RERG5K8SZk5mw+SxlXYswK6gezo5KY+Tuoh5vERERKfQMw2DYtwe49I+F\nFX398HDRF+PI3UeXiiIiIlLofbMrho1HztHXz4Oa5UoWdDgiuaLEW0RERAq1mL8Tee/7w/g/6sHT\n1UsUdDgiuabEW0RERAq1sasOYzGM9JspNYOJ3MWUeIuIiEihtfmPc2yIPMugllWp4FG8oMMRuSNK\nvEVERKRQSrlq4b3Vh3m0jAt9G1cq6HBE7pgSbxERESmUvgo/xYm4BMa099HUgXJPyLdX8f79++nZ\nsycAUVFRBAUFERwcTEhICBaLxVrOYrHQr18/Fi9eDEBSUhIDBw4kODiYF198kYsXL+ZXiCKSg2vP\n32v9/PPPdO7cmWeffZawsLBM6y5cuECzZs04fvy4rcIUkXtYQvJV5mw+TkCVMjzh/UBBhyOSJ/Il\n8Z43bx6jRo0iOTkZgA8++IDBgwezaNEiDMNg48aN1rIzZszgypUr1seLFy/GZDKxaNEiOnbsSGho\naH6EKCI5uP78zZCamsoHH3zAF198wYIFC1i6dClxcXHWdWPGjKFo0aIFEbKI3IO+Co/iQkIKQ1qb\nCjoUkTyTL1+g4+XlxaxZs3j77bcBOHToEA0bNgSgadOm/PLLL7Ru3ZqffvoJOzs7mjRpYt129+7d\n9OvXz1r2Rol3ZGRkfoSfJ5KSkgptfIot9wp7fHnh+vM3w/Hjx/Hy8qJkyfT5c/38/Pjtt9948skn\nmTRpEt27d+fTTz+9Yd2F9dgV5ue1MMcGhTu+whyb3Fh8UiqfbD3OE95l8atYqqDDEckz+ZJ4BwYG\nEhMTY31sGAZ2/5v+x8XFhfj4eI4ePcr333/PzJkz+fjjj61lzWYzbm5umcrmpHr16vkRfp6IjIws\ntPEpttwrzPHt3r07T+q5/vzNcO25Cennp9lsZvny5Xh4eNCkSZObJt6F9dgV5ue1MMcGhTu+whxb\nXp2v96qFEae5lJjKkFbq7ZZ7i02+Mt7e/t8RLQkJCZQoUYLvvvuOs2fP0rt3b2JjY3FycqJcuXK4\nurqSkJCQqayIFLxrz01IPz/d3NxYsGABdnZ2hIeHExkZybBhw5gzZw5ly5YtwGhF5G6VctXClztO\n0rhKaWpXcC/ocETylE0Sbx8fH3bu3Mljjz3G1q1b8ff3p127dtb1s2bNokyZMjRt2pRjx46xZcsW\nfH192bp1K35+frYIUURuonLlykRFRXHp0iWKFy/Orl27eOGFF2jbtq21TM+ePRk7dqySbhHJtR8O\nnuHslWQmdvIt6FBE8pxNEu9hw4YxevRopk2bxqOPPkpgYGCOZYOCghg2bBhBQUE4OTkxdepUW4Qo\nIjlYvXo1iYmJPPvsswwfPpwXXngBwzDo3Lkznp6eBR2eyD0rNTWVkSNHEhsbS0pKCv379+fhhx9m\n3LhxODg44OzszKRJkyhTpgzjx49nz549uLi4ABAaGoqTkxNDhw7lwoULuLi4MGnSJDw8PNi3bx8T\nJkzAwcGBgIAAXnvttQJu6b8Mw+Cz7SeoXNaFZiZdwMu9J98S7/Lly1unG6tUqRILFy7MsezAgQOt\nfxcrVoyZM2fmV1gicguuPX/bt29vXd6iRQtatGiR43YLFizI99hE7herVq3C3d2dKVOmcOnSJTp2\n7Ej58uUZPXo01atXZ8mSJcybN48RI0Zw6NAhPvvsMzw8PKzbz58/H5PJxMCBA1mzZg2hoaGMGjWK\nkJAQZs2aRYUKFXjppZc4fPgwPj4+BdjSf+05/Te/x15hwjM1sbfXV8PLvUez0YuIiBRCbdu25fXX\nXwfSe4IdHByYNm2a9YbRtLQ0ihQpgsViISoqijFjxtC9e3e+/fZbIP0GzoxZw5o2bUp4eDhms5mU\nlBS8vLyws7MjICCAHTt2FEwDs7Hk12hcnB3oWKdcQYciki9sMtREREREbk/GsBGz2cygQYMYPHgw\nDzyQ/kUye/bsYeHChXz99dckJiby3HPP0adPH9LS0ujVqxc1a9bMdpYws9mMq6trpn1ER0dnu39b\nT8WYkGJh1f5Ymldy5fSJP3MsV9iniSzM8Sm2gqfEW0REpJA6c+YMAwYMIDg42Drs64cffmDOnDl8\n+umneHh4WJPtYsWKAeDv78+RI0eynSUsu9mJcpo9zNZTMX69M4rkqwavtPGl+g1mMynM00RC4Y5P\nseVeXk0BqqEmIiIihVBcXBx9+/Zl6NChdOnSBYCVK1eycOFCFixYQIUKFQA4deoUQUFBpKWlkZqa\nyp49e6hRowb16tVjy5YtANZZwlxdXXFycuL06dMYhsH27dupX79+gbXxWkt/i6bag27ULl+yoEMR\nyTfq8RYRESmE5s6dy5UrVwgNDSU0NJS0tDT+/PNPHn74YeukBA0aNGDQoEF06NCBbt264eTkRIcO\nHahatSrly5fPdpawd999l7feeou0tDQCAgKoXbt2QTYTgOPnzRyIucyo/1S3fuGeyL1IibeIiEgh\nNGrUKEaNGnVLZfv160e/fv0yLctplrA6depYZy0qLL7ffwY7O3jK9+GCDkUkX2moiYiIiBQYwzBY\ntT+Who948GDJogUdjki+UuItIiIiBebIX/EcP59A+9rq7ZZ7nxJvERERKTCr9/8fDvZ2PFnzwYIO\nRSTfKfEWERGRAvPT73/xeOXSlHYtUtChiOQ7Jd4iIiJSII6fN3MiLoHWPp4FHYqITSjxFhERkQKx\nMfIsAC2rK/GW+4MSbxERESkQGw6fo/pDJSjnXqygQxGxCSXeIiIiYnN/J6SwK+oiras/UNChiNiM\nEm8RERGxuU1/nMNiQCuN75b7iBJvERERsbktR89TxrUINR8uWdChiNiMEm8RERGxKcMw+OVYHAFV\nSmNvb1fQ4YjYjBJvERERsakjf8UTZ06hcZUyBR2KiE0p8RYRERGb+uVYHAABVZV4y/1FibeIiIjY\n1PZjcVQu68JDJTWNoNxflHiLiIiIzSRfTWPniYsEaJiJ3IeUeIuIiIjN7Dt9iX9S0zS+W+5LSrxF\nRETEZn49eRE7O3isUumCDkXE5pR4i4iIiM38FvU33p5ulCzuVNChiNicEm8RERGxiTSLwZ6ov6n/\nSKmCDkWkQCjxFhEREZuIPHMFc/JVGjziUdChiBQIJd4iIiJiE7+dugigxFvuW0q8RURExCZ2nfqb\ncu7FeNhd83fL/UmJt4iIiOQ7wzD49dRFGmh8t9zHlHiLiIhIvov5+x/OxyfjV1GJt9y/lHiLiIhI\nvjsQcxmA2hXcCzgSkYKjxFtERETy3YGYSzg72FPtwRIFHYpIgXEs6ABEREQkq9TUVEaOHElsbCwp\nKSn079+fKlWqMHz4cOzs7KhatSohISHY29sTFhbGkiVLcHR0pH///jRv3pykpCSGDh3KhQsXcHFx\nYdKkSXh4eLBv3z4mTJiAg4MDAQEBvPbaazZpz77oS1R/uATOjurzk/uXXv0iIiKF0KpVq3B3d2fR\nokV89tlnjBs3jg8++IDBgwezaNEiDMNg48aNnD9/ngULFrBkyRI+//xzpk2bRkpKCosXL8ZkMrFo\n0SI6duxIaGgoACEhIUydOpXFixezf/9+Dh8+nO9tSbMY/B57mdrlS+b7vkQKMyXeIiIihVDbtm15\n/fXXgfQZQRwcHDh06BANGzYEoGnTpuzYsYMDBw5Qt25dnJ2dcXNzw8vLiyNHjrB7926aNGliLRse\nHo7ZbCYlJQUvLy/s7OwICAhgx44d+d6WE+fNJKSk4Vte47vl/qahJiIiIoWQi4sLAGazmUGDBjF4\n8GAmTZqEnZ2ddX18fDxmsxk3N7dM25nN5kzLry3r6uqaqWx0dHS2+4+MjMyztqw/Fg+Aa8oFIiPj\n76iupKSkPI0trxXm+BRbwVPiLSIiUkidOXOGAQMGEBwcTPv27ZkyZYp1XUJCAiVKlMDV1ZWEhIRM\ny93c3DItv1HZEiWyv9mxevXqedaOxUd/x8XZgdaP+eJgb3dHdUVGRuZpbHmtMMen2HJv9+7deVKP\nhpqIiIgUQnFxcfTt25ehQ4fSpUsXAHx8fNi5cycAW7dupX79+vj6+rJ7926Sk5OJj4/n+PHjmEwm\n6tWrx5YtW6xl/fz8cHV1xcnJidOnT2MYBtu3b6d+/fr53pb90ZeoWa7kHSfdInc79XiLiIgUQnPn\nzuXKlSuEhoZab4x85513GD9+PNOmTePRRx8lMDAQBwcHevbsSXBwMIZhMGTIEIoUKUJQUBDDhg0j\nKCgIJycnpk6dCsC7777LW2+9RVpaGgEBAdSuXTtf25Fy1ULkmXieb/xIvu5H5G6gxFtERKQQGjVq\nFKNGjcqyfOHChVmWdevWjW7dumVaVqxYMWbOnJmlbJ06dQgLC8u7QG/i+HkzKWkWajys+btFNNRE\nRERE8s2Rv64AUP0hJd4iSrxFREQk30SeicfZ0Z5Hy7gUdCgiBU6Jt4iIiOSbyDNXMHm64uiglENE\nZ4GIiIjkm8gz8VR7UMNMRECJt4iIiOST8/HJxJmTNb5b5H/yLfHev38/PXv2BCAqKoqgoCCCg4MJ\nCQnBYrEA8OWXX9K1a1e6du3K7NmzgfRvLho4cCDBwcG8+OKLXLx4Mb9CFJEcXHv+Xuvnn3+mc+fO\nPPvss9ZZEVJTUxk6dCjBwcF06dKFjRs32jpcESmkIs9k3FjpdpOSIveHfJlOcN68eaxatYpixYoB\n8MEHHzB48GAee+wxxowZw8aNG6lWrRqrVq3im2++wd7enqCgIFq1akV4eDgmk4mBAweyZs0aQkND\ns51OSUTyx/Xnb4bU1FQ++OADvv32W4oVK0ZQUBAtWrRgy5YtuLu7M2XKFC5dukTHjh1p2bJlAUUv\nIoWJdUYTDTURAfKpx9vLy4tZs2ZZHx86dIiGDRsC0LRpU3bs2MGDDz7IZ599hoODA3Z2dly9epUi\nRYqwe/dumjRpYi0bHh6eHyGKSA6uP38zHD9+HC8vL0qWLImzszN+fn789ttvtG3bltdffx0AwzBw\ncHCwdcgiUkhFnonnwRJFKeXiXNChiBQK+dLjHRgYSExMjPWxYRjY2aV/TayLiwvx8fE4OTnh4eGB\nYRhMnjwZHx8fKlWqhNlsxs3NLVPZnERGRuZH+HkiKSmp0Man2HKvsMeXF64/fzNce25C+vlpNptx\ncXGxrh80aBCDBw/Ose7CeuwK8/NamGODwh1fYY7tfhF55oqGmYhcwybfXGlv/2/HekJCAiVKpH/k\nlJyczMiRI3FxcSEkJAQAV1dXEhISspTNTvXq1fMx6jsTGRlZaONTbLlXmOPbvXt3vtZ/7bkJ6edn\nRiJ+5swZBgwYQHBwMO3bt8+xjsJ67Arz81qYY4PCHV9hji2/z9fCIDXNwvHzZppXe6CgQxEpNGwy\nq4mPjw87d+4EYOvWrdSvXx/DMHj11Vfx9vbmvffes348Xa9ePbZs2WIt6+fnZ4sQReQmKleuTFRU\nFJcuXSIlJYVdu3ZRt25d4uLi6Nu3L0OHDqVLly4FHaaIFBJRFxJITTOo+oBrQYciUmjYpMd72LBh\njB49mmnTpvHoo48SGBjIhg0b+PXXX0lJSWHbtm0AvPHGGwQFBTFs2DCCgoJwcnJi6tSptghRRHKw\nevVqEhMTefbZZxk+fDgvvPAChmHQuXNnPD09GT9+PFeuXCE0NJTQ0FAg/QbNokWLFnDkIlKQjp0z\nA1BFibeIVb4l3uXLl7dON1apUiUWLlyYaX3r1q05ePBgttvOnDkzv8ISkVtw7fl77dCRFi1a0KJF\ni0xlR40apZmHRCSLjMS7clkl3iIZ9AU6IiIikueOnTPzcMmiuBSxyYfrIncFJd4iIiKS546dN1NZ\nw0xEMlHiLSIiInnKYjE4fi5B47tFrqPEW0RERPLU/13+h39S05R4i1xHibeIiIjkKeuMJrqxUiQT\nJd4iIiKSpzSVoEj2lHiLiIhInjp+3kyp4k6Udi1S0KGIFCpKvEVERCRPHTtnVm+3SDaUeIuIiEie\nUuItkj0l3iIiIpJnLiWm8HdiKo+WUeItcj0l3iIiIpJnoi4kAlCxdPECjkSk8FHiLSIiInnm1IUE\nAB4p41LAkYgUPkq8RUREJM+cikvv8fbyUI+3yPUcCzoAERERyd7+/fv58MMPWbBgAUOGDCEuLg6A\n2NhYateuzfTp0xk/fjx79uzBxSW9hzk0NBQnJyeGDh3KhQsXcHFxYdKkSXh4eLBv3z4mTJiAg4MD\nAQEBvPbaa3kec9SFBB4uWZSiTg55XrfI3U6Jt4iISCE0b948Vq1aRbFixQCYPn06AJcvX6ZXr16M\nGDECgEOHDvHZZ5/h4eFh3Xb+/PmYTCYGDhzImjVrCA0NZdSoUYSEhDBr1iwqVKjASy+9xOHDh/Hx\n8dfRIVAAACAASURBVMnTuE9eSKBiaQ0zEcmOhpqIiIgUQl5eXsyaNSvL8lmzZvHcc8/xwAMPYLFY\niIqKYsyYMXTv3p1vv/0WgN27d9OkSRMAmjZtSnh4OGazmZSUFLy8vLCzsyMgIIAdO3bkedxRFxJ5\npIyGmYhkRz3eIiIihVBgYCAxMTGZll24cIHw8HBrb3diYiLPPfccffr0IS0tjV69elGzZk3MZjNu\nbm4AuLi4EB8fj9lsxtX13yn+XFxciI6OznH/kZGRtx2zOSWNiwkpFE9LyNX2tyIpKSnf6s4LhTk+\nxVbwlHiLiIjcJX766SeeeuopHBzSx08XK1aMXr16WYej+Pv7c+TIEVxdXUlISJ9dJCEhgRIlSmRa\ndu3ynFSvXv224zsYcxmIokH1SlSv/uBtb38rIiP/n707D4+qvP8+/p4sE5KZLEQWrRAEJIogQqAI\nZRFQClqRTQKJTaugFUSsCMgiq4CICla0qLUu/QUlpEBpecQNUFKWUgwSBIKWgGxiWMKSmSyTzJzn\nj5iRQEK2yWQin9d1eTlz5syZ75nwnfPJnXvOSa9Sbd7iy/WptqpLTU31yHY01URERKSO2LZtGz17\n9nTf/+6774iLi8PpdFJQUMDOnTtp06YNMTExbNq0CYCUlBQ6duyI1WolMDCQI0eOYBgGmzdvplOn\nTh6t75D7VIKaaiJSGo14i4iI1BGHDh2iadOm7vstW7Zk4MCBxMbGEhgYyMCBA2nVqhVNmjRh8uTJ\nxMXFERgYyKJFiwCYM2cOEydOxOl00r17d2677TaP1nf4dFHwbhapL1eKlEbBW0RExEc1adKE5ORk\n9/0PP/zwsnUefvhhHn744RLLgoODWbJkyWXrtm/fvsT2PO27MzlcG1aPYLNOJShSGk01EREREY/4\n7oxdl4oXuQIFbxEREfGIw2fs3KBzeIuUScFbREREqi3X4eS0zUGURrxFyqTgLSIiItV27GwOAE3q\nB9dyJSK+S8FbREREqu3Y2VxAwVvkShS8RUREpNqKR7yb1tdUE5GyKHiLiIhItR07m4s5wI8G1qDa\nLkXEZyl4i4iISLUdO5tLk4hg/PxMtV2KiM9S8BYREZFqO3o2h+s1v1vkihS8RUREpNqOnc2lieZ3\ni1yRgreIiIhUiz2/kCy7g6aRGvEWuRIFbxEREamW4+eKTyWoEW+RK1HwFhERkWrRxXNEKkbBW0RE\nRKrlaJYuniNSEQreIiIiUi3HzuYQFOBHQ53DW+SKKhS8XS4XTqeTL7/8EofDUdM1iYiISB1SdEaT\nYEwmncNb5EoCylth/vz5tGzZku+//569e/fSoEEDFi5c6I3aREREpA7QqQRFKqbcEe+vv/6aESNG\n8NVXX/H222/zww8/eKMuERERqSOO6eI5IhVSbvB2uVzs2bOHJk2a4HA4sNvt3qhLRERE6oC8Aidn\ncwq4PkLBW6Q85QbvgQMHMmfOHEaOHMmLL77I8OHDvVGXiIiI1AEnzucBcG1YvVquRMT3lTvH+4EH\nHuC+++7j+PHjjB8/npAQzeESERGRIid+vHjOdREK3iLlKTd4f/LJJ7z++us4nU769++PyWTiscce\n80ZtIiIi4uOKR7x/Ea6pJiLlKXeqybvvvktycjIRERE89thjrF+/3ht1iYiISB1w4nzRiPe14Rrx\nFilPucHb398fs9mMyWTCZDIRHKzfaEVERKTI9+fziLSYqRfoX9uliPi8coN3x44deeqpp8jMzGTm\nzJnceuut3qhLRERE6oAfzufpi5UiFVRu8H7qqacYNGgQw4YNo3fv3kyZMqVCG05LSyMhIQGAw4cP\nExcXR3x8PLNmzcLlcgGQnJzMkCFDiI2N5fPPPwcgLy+PcePGER8fzyOPPEJWVlZV901Equji/r3Y\nxo0bGTp0KMOHDyc5ORkoOuXozJkzGT58OAkJCRw+fNjb5Yr8bF3ci/v27aNHjx4kJCSQkJDAunXr\ngModS3ft2sWwYcMYMWIEr732mkdq/P5cLr/QFytFKqTc4L1mzRqysrJo0KAB58+fZ82aNeVu9K23\n3mL69Onk5+cDsGDBAp588kk++OADDMNgw4YNnDp1isTERJKSknj77bdZvHgxDoeD5cuXEx0dzQcf\nfMCgQYNYunRp9fdSRCrs0v4tVlBQwIIFC3jnnXdITExkxYoVnD59mvXr1+NwOFixYgUTJkzg+eef\nr6XKRX5eLu3FvXv38tBDD5GYmEhiYiL33HNPpY+ls2bNYtGiRSxfvpy0tDT27dtX7TpPnM/jOn2x\nUqRCyj2rSUZGBgCGYZCenk5ERASDBg264nOioqJ49dVXefrpp4GiD4vOnTsD0LNnT7Zs2YKfnx8d\nOnTAbDZjNpuJiopi//79pKam8vDDD7vXvVLwHv7mtortZS3IyckhJOVcbZdRKtVWdb5c39OdzB7Z\nzqX9WywjI4OoqCjCw8OBomloO3bsYNeuXfTo0QOA9u3bs2fPnjK37as968s/V1+uDXy7Pl+urSL9\nemkv7tmzh0OHDrFhwwaaNWvGtGnT2L17d4WPpTabDYfDQVRUFADdu3dn69at3HLLLVXejxxHIedz\nC/TFSpEKKjd4T5gwwX3bMAweffTRcjfar18/jh07VuJ5JpMJAIvFQnZ2NjabjdDQUPc6FosFm81W\nYnnxumXJyckpt5ba4nK5fLY+1VZ1vl2fZ4L3pf1b7Eo9a7Va3cv9/f0pLCwkIODyjxdffe98+efq\ny7WBb9fny7VVpF8v7cV27doxbNgw2rZty+uvv86f//xnbr755gofSy/tVYvFwtGjR8t8/fT09HJr\nPHbeUXTDnlWh9T0hLy/Pa69VFb5cn2qrfeUGb4fD4b596tSpUg/I5fHz+2lGi91uJywsDKvVWuLy\n83a7ndDQ0BLLi9cty9rxd1a6Fm9JT0+ndevWtV1GqVRb1flyfampqTW6/Yr0LBSFndJCN/huz/ry\nz9WXawPfrs+Xa6tKv/bt29d9TOzbty9z586lU6dOFT6WltbDVzrGVuS9O/O/08AxOt7SktYtrqn0\nPlWFL/9cwbfrU21V56ljbLlzvPv378/dd99N//79eeSRRxg1alSlX+SWW25h+/btAKSkpNCpUyfa\ntWtHamoq+fn5ZGdnk5GRQXR0NDExMWzatMm9bseOHSv9eiLieS1btuTw4cOcO3cOh8PBl19+SYcO\nHYiJiSElJQUo+uJWdHR0LVcq8vM0atQodu/eDcC2bdto06ZNpY6lVquVwMBAjhw5gmEYbN68mU6d\nOlWrpu9/PIf3dZpqIlIh5Y54b9y4sdovMnnyZGbMmMHixYtp0aIF/fr1w9/fn4SEBOLj4zEMg/Hj\nxxMUFERcXByTJ08mLi6OwMBAFi1aVO3XF5GqW7t2LTk5OQwfPpwpU6YwatQoDMNg6NChNG7cmL59\n+7JlyxZGjBiBYRg899xztV2yyM/S7NmzmTt3LoGBgTRo0IC5c+ditVordSydM2cOEydOxOl00r17\nd2677bZq1fTDj1et1BxvkYopM3gPHz7cPS/7UklJSeVuuEmTJu7TjTVv3pxly5Zdtk5sbCyxsbEl\nlgUHB7NkyZJyty8iNefi/h0wYIB7eZ8+fejTp0+Jdf38/Hj22We9Wp/I1eLiXmzTpk2px9/KHEvb\nt2/v3p4nnDifSwOrmaAAXTxHpCLKDN6LFy/2Zh0iIiJSx3x/Lk+j3SKVUGbwvv7664Gii998/PHH\nFBQUAHDy5EmNbomIiAg/nM8j6pqQ2i5DpM4o98uVxacT3LlzJ8eOHePcOd88J6qIiIh41/fnc/mF\nRrxFKqzc4B0SEsKjjz5K48aNef755zl9+rQ36hIREREfZs8vJDuvkGt11UqRCis3eJtMJk6dOoXd\nbicnJ8eHL0YgIiIi3pJ5ofiMJkG1XIlI3VFm8F65ciV5eXk8/vjjrF+/noEDB3LXXXfRtWtXb9Yn\nIiIiPijzQj4AjUM11USkosr8cuU333zDm2++Sbdu3RgxYgQ333wzd97pm1edExEREe86mV004t0o\nTCPeIhVV5oj3M888w7p16+jSpQuLFy9mxIgR/P3vfyc3N9eb9YmIiIgPOvnjiHejMI14i1TUFa9c\nGRgYSP/+/enfvz+ZmZkkJibSq1cv9+XfRURE5OqUeSGP4EB/QoPKvQi2iPyo3G7Jz8/ns88+Y82a\nNdjtdiZNmuSNukRERMSHZWbn0ygsqMyrXIvI5coM3tu3b2fNmjVs376dO++8k6effpro6Ghv1iYi\nIiI+6uSFPH2xUqSSygzer732GrGxscyZMwez2ezNmkRERMTHnczOp80vwmq7DJE6pczgnZiY6M06\nREREpA45eSGP3jc1qu0yROqUci+gIyIiInIxW34hdoeTxjqVoEilKHiLiIhIpRRftbKxTiUoUikK\n3iIiIlIp7nN4h2rEW6QyFLxFRESkUn66aqVGvEUqQ8FbREREKuWnqSYa8RapDAVvERERqZSTF/IJ\nDvTHqqtWilSKgreIiIhUSmZ2Po111UqRSlPwFhERkUrJvJCn+d0iVaDgLSIiIpVyKjtfZzQRqQIF\nbxEREakwwzDIvJCnc3iLVIGCt4iIiFSYLb+QHF21UqRKFLxFRESkwk5mF188RyPeIpWl4C0iIiIV\npqtWilSdTsApIiLio9LS0njppZdITEwkPT2duXPn4u/vj9lsZuHChTRo0IB58+axc+dOLBYLAEuX\nLiUwMJBJkyZx5swZLBYLCxcuJDIykl27djF//nz8/f3p3r07jz/+eKVrOmUrCt4NFLxFKk0j3iIi\nIj7orbfeYvr06eTnFwXd+fPnM2PGDBITE+nbty9vvfUWAHv37uWvf/0riYmJJCYmEhoayvLly4mO\njuaDDz5g0KBBLF26FIBZs2axaNEili9fTlpaGvv27at0Xad/nGrSwKrgLVJZCt4iIiI+KCoqildf\nfdV9f/HixbRu3RoAp9NJUFAQLpeLw4cPM3PmTEaMGMHKlSsBSE1NpUePHgD07NmTbdu2YbPZcDgc\nREVFYTKZ6N69O1u3bq10Xadt+QT4mYgIDvTAXopcXTTVRERExAf169ePY8eOue83atQIgJ07d7Js\n2TLef/99cnJy+O1vf8tDDz2E0+nkd7/7HW3btsVmsxEaGgqAxWIhOzsbm82G1Wp1b89isXD06NEy\nXz89Pb3U5QeOnSI8yI9vvtnvid2stLy8vDJr8wW+XJ9qq30K3iIiInXEunXreP311/nLX/5CZGSk\nO2wHBwcD0KVLF/bv34/VasVutwNgt9sJCwsrsezi5WUpHl2/VOF2G9fWN5X5eE1LT0+vtdeuCF+u\nT7VVXWpqqke2o6kmIiIidcA///lPli1bRmJiIk2bNgXgu+++Iy4uDqfTSUFBATt37qRNmzbExMSw\nadMmAFJSUujYsSNWq5XAwECOHDmCYRhs3ryZTp06VbqO07Z8ze8WqSKNeIuIiPg4p9PJ/Pnzue66\n6xg3bhwAv/zlL3niiScYOHAgsbGxBAYGMnDgQFq1akWTJk2YPHkycXFxBAYGsmjRIgDmzJnDxIkT\ncTqddO/endtuu63StZzOzqdVo1CP7p/I1ULBW0RExEc1adKE5ORkAP773/+Wus7DDz/Mww8/XGJZ\ncHAwS5YsuWzd9u3bu7dXFYZhcNrmoEGoucrbELmaaaqJiIiIVMiF3EIcThcNNdVEpEoUvEVERKRC\n3BfPUfAWqRIFbxEREamQ0wreItWi4C0iIiIVUhy8G+py8SJVouAtIiIiFfLT5eL15UqRqlDwFhER\nkQo5bXPg72eifoiCt0hVKHiLiIhIhZy25RNpMePnZ6rtUkTqJAVvERERqZBT2bpqpUh1KHiLiIhI\nhRRdLl7TTESqSsFbREREKuS0zaGL54hUg4K3iIiIlMswDE7Z8mmgUwmKVJmCt4iIiJQrO78QR6FL\nU01EqiHAWy/kcDiYOnUqR48exWq1MnPmTHJzc5k1axb+/v7ccMMNzJ8/Hz8/P5KTk0lKSiIgIIAx\nY8bQu3dvb5UpclVzuVzMnj2bb775BrPZzLx582jWrJn78TVr1vD2228TGhrK4MGDGTZsGAUFBUyZ\nMoXjx4/j5+fH3LlzadmyZS3uhYjUhOJzeOviOSJV57XgnZycTEhICMnJyRw8eJC5c+dSr149xo4d\nyx133MGECRP44osvuPXWW0lMTGTVqlXk5+cTHx9Pt27dMJv1G7ZITVu/fj0Oh4MVK1awa9cunn/+\neV5//XUAsrKyWLJkCatXryYsLIwHH3yQrl27sn//fgoLC0lKSmLLli386U9/4tVXX63lPRERTztt\ncwC6XLxIdXhtqsmBAwfo2bMnAC1atCAjI4PWrVtz7tw5DMPAbrcTEBDA7t276dChA2azmdDQUKKi\noti/f7+3yhS5qqWmptKjRw8A2rdvz549e9yPHTt2jJtuuomIiAj8/Py49dZbSUtLo3nz5jidTlwu\nFzabjYAAr/0+LyJedMp91UoFb5Gq8toRsnXr1nz++efcddddpKWlkZmZSVRUFPPmzeP1118nNDSU\n22+/nY8//pjQ0FD38ywWCzabrdRtpqene6v8SsvLy/PZ+lRb1fl6fdVls9mwWq3u+/7+/hQWFhIQ\nEECzZs04cOAAp0+fxmKxsG3bNm644QZCQkI4fvw4d999N2fPnuWNN94oc/u++t758s/Vl2sD367P\nl2uri07bFLxFqstrwXvo0KFkZGQQHx9PTEwMbdq0YcGCBbz//vu0atWK999/n+eff57u3btjt9vd\nz7Pb7SWC+MVat27trfIrLT093WfrU21V58v1paamVnsbVqu1RP+5XC73CHZ4eDhTp05l3LhxRERE\n0KZNG+rXr897771H9+7dmTBhAidOnOD3v/89a9euJSjo8oOzr753vvxz9eXawLfr8+XaPNGv3nba\nlo+fCSItmvopUlVem2ry9ddf07VrV5YvX07//v1p2rQp4eHh7tG1Ro0aceHCBdq1a0dqair5+flk\nZ2eTkZFBdHS0t8oUuarFxMSQkpICwK5du0r0XmFhIfv27eODDz7glVde4eDBg8TExBAWFub+5Tg8\nPJzCwkKcTmet1C8iNee0zUGkxYy/LhcvUmVeG/Fu1qwZr7zyCm+88QahoaHMnz+fo0ePMn78eAIC\nAggMDGTu3Lk0bNiQhIQE4uPjMQyD8ePHlzpyJiKe17dvX7Zs2cKIESMwDIPnnnuOtWvXkpOTw/Dh\nwwEYPHgwQUFBPPTQQ0RGRvLggw8ybdo04uPjKSgoYPz48YSEhNTynoiIp2XZ8zXaLVJNXgvekZGR\nvPfeeyWWNW7cmKSkpMvWjY2NJTY21kuViUgxPz8/nn322RLLLj414OOPP87jjz9e4nGLxcIrr7zi\nlfpEpPactRdQP0TBW6Q6dAEdERERKdcZez7X6OI5ItWi4C0iIiLlyrI7NOItUk0K3iIiInJFTpfB\nudwCrtEcb5FqUfAWERGRKzqX48AwoL6Ct0i1KHiLiIjIFZ3NKbpcvM5qIlI9Ct4iIiJyRWdsRcH7\nGotO7ytSHQreIiIiPiotLY2EhAQADh8+TFxcHPHx8cyaNQuXywVAcnIyQ4YMITY2ls8//xyAvLw8\nxo0bR3x8PI888ghZWVlA0YWxhg0bxogRI3jttdcqXEfxiHd9S6And0/kqqPgLSIi4oPeeustpk+f\nTn5+PgALFizgySef5IMPPsAwDDZs2MCpU6dITEwkKSmJt99+m8WLF+NwOFi+fDnR0dF88MEHDBo0\niKVLlwIwa9YsFi1axPLly0lLS2Pfvn0VquWMXSPeIp6g4C0iIuKDoqKiePXVV9339+7dS+fOnQHo\n2bMnW7duZffu3XTo0AGz2UxoaChRUVHs37+f1NRUevTo4V5327Zt2Gw2HA4HUVFRmEwmunfvztat\nWytUy1m7RrxFPMFrV64UERGRiuvXrx/Hjh1z3zcMA5PJBBRdMTY7OxubzUZoaKh7HYvFgs1mK7H8\n4nWtVmuJdY8ePVrm66enp7tv/+/oaYIDTRz837ce27+qysvLK1Gbr/Hl+lRb7VPwFhERqQP8/H76\nI7XdbicsLAyr1Yrdbi+xPDQ0tMTyK60bFhZW5uu1bt3afduU9hUNQgtKLKst6enpPlFHWXy5PtVW\ndampqR7ZjqaaiIiI1AG33HIL27dvByAlJYVOnTrRrl07UlNTyc/PJzs7m4yMDKKjo4mJiWHTpk3u\ndTt27IjVaiUwMJAjR45gGAabN2+mU6dOFXrtM3YHkZrfLVJtGvEWERGpAyZPnsyMGTNYvHgxLVq0\noF+/fvj7+5OQkEB8fDyGYTB+/HiCgoKIi4tj8uTJxMXFERgYyKJFiwCYM2cOEydOxOl00r17d267\n7bYKvfbZHAcNrQreItWl4C0iIuKjmjRpQnJyMgDNmzdn2bJll60TGxtLbGxsiWXBwcEsWbLksnXb\nt2/v3l5lZNkc3NS47GkpIlIxmmoiIiIiV5SV4yBSZzQRqTYFbxERESlTjqOQvAKX5niLeICCt4iI\niJTpp8vFm2u5EpG6T8FbREREyvTT5eIVvEWqS8FbREREylR8ufhIBW+RalPwFhERkTKdVfAW8RgF\nbxERESlTloK3iMcoeIuIiEiZsuwOAvxMhNXTpT9EqkvBW0RERMqUZXdQ32LGZDLVdikidZ6Ct4iI\niJQpy+4gMkTTTEQ8QcFbREREypRld2h+t4iHKHiLiIhImYouF6/gLeIJCt4iIiJSJo14i3iOgreI\niIiUqtDp4nxuga5aKeIhCt4iIiJSqnO5BRgGXKPgLeIRCt4iIiJSKl21UsSzFLxFRESkVGcUvEU8\nSsFbRERESqXLxYt4loK3iIiIlErBW8SzFLxFRESkVMXBu76uXCniEQreIiIiUqosu4PQoADMAYoL\nIp6gThIREZFSZdkdRFo12i3iKQreIiIiUqqzOQ5NMxHxIAVvERERKdUZm0MXzxHxIAVvERERKdXZ\nHIcuFy/iQQG1XYCIiIhUzOrVq/nHP/4BQH5+Punp6axYsYJHH32UG264AYC4uDjuuecekpOTSUpK\nIiAggDFjxtC7d2/y8vKYNGkSZ86cwWKxsHDhQiIjI0t9LcMwOGPXiLeIJyl4i4iI1BFDhgxhyJAh\nAMyZM4ehQ4eyd+9eHnroIUaOHOle79SpUyQmJrJq1Sry8/OJj4+nW7duLF++nOjoaMaNG8eHH37I\n0qVLmT59eqmvleNw4ih06RzeIh6kqSYiIiJ1zNdff82BAwcYPnw4e/bs4YsvvuCBBx5g2rRp2Gw2\ndu/eTYcOHTCbzYSGhhIVFcX+/ftJTU2lR48eAPTs2ZNt27aV+Rruc3greIt4jEa8RURE6pg333yT\nsWPHAtCuXTuGDRtG27Ztef311/nzn//MzTffTGhoqHt9i8WCzWbDZrO5l1ssFrKzs8t8jdS93wCQ\nk5VJerqtBvemcvLy8khPT6/tMsrky/Wpttqn4C0iIlKHXLhwgUOHDtGlSxcA+vbtS1hYmPv23Llz\n6dSpE3a73f0cu91OaGgoVqvVvdxut7ufV5rwhtcD39Pu5pa0jqpfcztUSenp6bRu3bq2yyiTL9en\n2qouNTXVI9vRVBMREZE6ZMeOHXTt2tV9f9SoUezevRuAbdu20aZNG9q1a0dqair5+flkZ2eTkZFB\ndHQ0MTExbNq0CYCUlBQ6duxY5usUTzXRlytFPEcj3iIiInXIoUOHaNKkifv+7NmzmTt3LoGBgTRo\n0IC5c+ditVpJSEggPj4ewzAYP348QUFBxMXFMXnyZOLi4ggMDGTRokVlvo7meIt4nteCt8PhYOrU\nqRw9ehSr1crMmTMJDQ1l+vTpXLhwAafTyQsvvEBUVFSpp0ASkZrncrmYPXs233zzDWazmXnz5tGs\nWTP342vWrOHtt98mNDSUwYMHM2zYMKBovunGjRspKCggLi7OvVxEPO/hhx8ucb9NmzYkJSVdtl5s\nbCyxsbEllgUHB7NkyZIKvc4Zu4NAfxOhQRqjE/EUr3VTcnIyISEhJCcnc/DgQebOnUvDhg0ZMGAA\n99xzD//5z384ePAgwcHBpZ4CyWzWb9wiNW39+vU4HA5WrFjBrl27eP7553n99dcByMrKYsmSJaxe\nvZqwsDAefPBBunbtyvHjx/nqq69Yvnw5ubm5vPPOO7W8FyLiCWftRZeLN5lMtV2KyM+G1+Z4Hzhw\ngJ49ewLQokULMjIy2LlzJ5mZmTz44IOsXbuWzp07l3kKJBGpeRefaqx9+/bs2bPH/dixY8e46aab\niIiIwM/Pj1tvvZW0tDQ2b95MdHQ0Y8eOZfTo0fTq1auWqhcRTzpjd+gc3iIe5rUR79atW/P5559z\n1113kZaWRmZmJn5+foSFhfHee+/x2muv8dZbb3HDDTeUegqk0vjyaWd8+bQ4qq3qfL2+6rLZbFit\nVvd9f39/CgsLCQgIoFmzZhw4cIDTp09jsVjYtm0bN9xwA2fPnuX777/njTfe4NixY4wZM4aPP/64\n1FEyX33vfPnn6su1gW/X58u11QVncxS8RTzNa8F76NChZGRkEB8fT0xMDG3atOHEiRP06dMHgD59\n+vDyyy/Ttm3bUk+BVBpfPu2ML58WR7VVnS/X54lTHV18qjEomvMdEFD0MREeHs7UqVMZN24cERER\ntGnThvr16xMREUGLFi0wm820aNGCoKAgsrKyuOaaay7bvq++d778c/Xl2sC36/Pl2jx1arKalGV3\n0OYXZZ9uUEQqz2tTTb7++mu6du3K8uXL6d+/P02bNqVjx47u0xrt2LGDG2+8scxTIIlIzYuJiSEl\nJQWAXbt2lei9wsJC9u3bxwcffMArr7zCwYMHiYmJoWPHjvz73//GMAwyMzPJzc0lIiKitnZBRDwk\ny+7QqQRFPMxrI97NmjXjlVde4Y033iA0NJT58+dTWFjI9OnTSUpKwmq1smjRIsLDw0s9BZKIxEQx\nAwAAIABJREFU1Ly+ffuyZcsWRowYgWEYPPfcc6xdu5acnByGDx8OwODBgwkKCuKhhx4iMjKS3r17\ns2PHDu6//34Mw2DmzJn4+/vX8p6ISHWdzy3QqQRFPMxrwTsyMpL33nvvsuXvvvvuZctKOwWSiNQ8\nPz8/nn322RLLWrZs6b79+OOP8/jjj1/2vKeffrrGaxMR79OIt4hn6cqVIiIiUiqNeIt4loK3iIiI\nlEpnNRHxLAVvERERKZWCt4hnKXiLiIhIqRS8RTxLwVtERERKVT9EwVvEkxS8RURE5DJh9QII9FdM\nEPEkdZSIiIhcRtNMRDxPwVtEREQuo+At4nkK3iIiInIZBW8Rz1PwFhERkcsoeIt4noK3iIiIXCbS\nElTbJYj87Ch4i4iIyGUiLYG1XYLIz46Ct4iIiFxGI94inqfgLSIiIpfRiLeI5yl4i4iIyGU04i3i\neQreIiIicplIXS5exOMUvEVEROQykVYFbxFPU/AWERGRy1jM/rVdgsjPjoK3iIiIXMZkMtV2CSI/\nOwG1XYCIiIhU3ODBg7FarQA0adKE0aNHM2XKFEwmE61atWLWrFn4+fmRnJxMUlISAQEBjBkzht69\ne5OXl8ekSZM4c+YMFouFhQsXEhkZWct7JHL1UPAWERGpI/Lz8zEMg8TERPey0aNH8+STT3L77bcz\nc+ZMNmzYQPv27UlMTGTVqlXk5+cTHx9Pt27dWL58OdHR0YwbN44PP/yQpUuXMn369FrcI5Gri6aa\niIiI1BH79+8nNzeXkSNH8rvf/Y5du3axd+9eOnfuDEDPnj3ZunUru3fvpkOHDpjNZkJDQ4mKimL/\n/v2kpqbSo0cP97rbtm2rzd0RuepoxFtERKSOqFevHqNGjWLYsGF89913PPLIIxiG4Z6PbbFYyM7O\nxmazERoa6n6exWLBZrOVWF68blnS09NrdmeqKC8vz2drA9+uT7XVPgVvERGROqJ58+Y0a9YMk8lE\n8+bNiYiIYO/eve7H7XY7YWFhWK1W7HZ7ieWhoaEllhevW5bWrVvX3I5UQ3p6us/WBr5dn2qrutTU\nVI9sR1NNRERE6oiVK1fy/PPPA5CZmYnNZqNbt25s374dgJSUFDp16kS7du1ITU0lPz+f7OxsMjIy\niI6OJiYmhk2bNrnX7dixY63ti8jVSCPeIiIidcT999/P1KlTiYuLw2Qy8dxzz1G/fn1mzJjB4sWL\nadGiBf369cPf35+EhATi4+MxDIPx48cTFBREXFwckydPJi4ujsDAQBYtWlTbuyRyVVHwFhERqSPM\nZnOpYXnZsmWXLYuNjSU2NrbEsuDgYJYsWVJj9YnIlWmqiYiIiIiIFyh4i4iIiIh4gYK3iIiIiIgX\nKHiLiIiIiHiBgreIiIiIiBcoeIuIiIiIeIGCt4iIiIiIFyh4i4iIiIh4gckwDKO2i6iK1NTU2i5B\nxOf48uWf1bMiJalfReoWT/RsnQ3eIiIiIiJ1iaaaiIiIiIh4gYK3iIiIiIgXKHiLiIiIiHhBQG0X\nUFkul4vZs2fzzTffYDabmTdvHs2aNfNqDQUFBUybNo3jx4/jcDgYM2YMN954I1OmTMFkMtGqVStm\nzZqFn58fycnJJCUlERAQwJgxY+jdu7fX6jxz5gxDhgzhnXfeISAgwGfqe/PNN9m4cSMFBQXExcXR\nuXNnn6mtoKCAKVOmcPz4cfz8/Jg7d65PvHdpaWm89NJLJCYmcvjw4QrXk5eXx6RJkzhz5gwWi4WF\nCxcSGRlZY3Veyhf6FepGz/pqv4Lv9qz61bPUrxWnfq08X+1X8HLPGnXMJ598YkyePNkwDMP46quv\njNGjR3u9hpUrVxrz5s0zDMMwzp49a9xxxx3Go48+avznP/8xDMMwZsyYYXz66afGyZMnjXvvvdfI\nz883Lly44L7tDQ6Hw3jssceMX//618aBAwd8pr7//Oc/xqOPPmo4nU7DZrMZS5Ys8ZnaDMMwPvvs\nM+OJJ54wDMMwNm/ebDz++OO1Xt9f/vIX49577zWGDRtmGIZRqXreeecdY8mSJYZhGMb/+3//z5g7\nd26N1FgWX+hXw/D9nvXVfjUM3+5Z9atnqV8rRv1aNb7Yr4bh/Z6tc1NNUlNT6dGjBwDt27dnz549\nXq+hf//+/PGPfwTAMAz8/f3Zu3cvnTt3BqBnz55s3bqV3bt306FDB8xmM6GhoURFRbF//36v1Lhw\n4UJGjBhBo0aNAHymvs2bNxMdHc3YsWMZPXo0vXr18pnaAJo3b47T6cTlcmGz2QgICKj1+qKionj1\n1Vfd9ytTz8X90rNnT7Zt21YjNZbFF/oVfL9nfbVfwbd7Vv3qWerXilG/Vo0v9it4v2frXPC22WxY\nrVb3fX9/fwoLC71ag8ViwWq1YrPZeOKJJ3jyyScxDAOTyeR+PDs7G5vNRmhoaInn2Wy2Gq9v9erV\nREZGuv8xAD5T39mzZ9mzZw+vvPIKc+bMYeLEiT5TG0BISAjHjx/n7rvvZsaMGSQkJNR6ff369SMg\n4KdZYZWp5+Llxet6ky/0K/h2z/pyv4Jv96z61bPUr+VTv1adL/YreL9n69wcb6vVit1ud993uVwl\n3jBvOXHiBGPHjiU+Pp4BAwbw4osvuh+z2+2EhYVdVqvdbi/xg6spq1atwmQysW3bNtLT05k8eTJZ\nWVk+UV9ERAQtWrTAbDbTokULgoKC+OGHH3yiNoD33nuP7t27M2HCBE6cOMHvf/97CgoKfKY+AD+/\nn35fLq+ei5cXr+tNvtKv4Ls968v9Cr7ds+pXz1K/lk/9WnV1oV+h5nu2zo14x8TEkJKSAsCuXbuI\njo72eg2nT59m5MiRTJo0ifvvvx+AW265he3btwOQkpJCp06daNeuHampqeTn55OdnU1GRoZX6n3/\n/fdZtmwZiYmJtG7dmoULF9KzZ0+fqK9jx478+9//xjAMMjMzyc3NpWvXrj5RG0BYWJi7wcPDwyks\nLPSpny1U7t9aTEwMmzZtcq/r7Svl+UK/gm/3rC/3K/h2z6pfPUv9Wj71a9XVhX6Fmu/ZOnflyuJv\nXX/77bcYhsFzzz1Hy5YtvVrDvHnz+Oijj2jRooV72TPPPMO8efMoKCigRYsWzJs3D39/f5KTk1mx\nYgWGYfDoo4/Sr18/r9aakJDA7Nmz8fPzY8aMGT5R3wsvvMD27dsxDIPx48fTpEkTn6nNbrczbdo0\nTp06RUFBAb/73e9o27Ztrdd37NgxnnrqKZKTkzl06FCF68nNzWXy5MmcOnWKwMBAFi1aRMOGDWus\nzkv5Qr9C3elZX+xX8N2eVb96lvq1ctSvleOr/Qre7dk6F7xFREREROqiOjfVRERERESkLlLwFhER\nERHxAgVvEREREREvUPAWEREREfECBW8RERERES9Q8BYRERER8QIFbxERERERL1DwFhERERHxAgVv\nEREREREvUPAWEREREfECBW8RERERES9Q8BYRERER8QIFbxERERERL1DwFhERERHxAgVvEREREREv\nUPAWEREREfECBW8RERERES9Q8BYRERER8QIFbxERERERL1DwFhERERHxAgVvEREREREvUPAWERER\nEfECBW8RERERES9Q8BYRERER8QIFbxERERERL1DwFhERERHxAgVvEREREREvUPAWEREREfECBW8R\nERERES9Q8BYRERER8QIFbxERERERL1DwFhERERHxAgVvEREREREvUPAWli9fzn333cc999zDb37z\nGyZNmsT3339f7vOmT5/Onj17qvy62dnZ/O53v6vy80VqQ1X7BepWz6xbt46BAweWWDZixAh69OiB\nYRjuZX/4wx94//33K7XtPn368PXXX3ukTpFiTqeTd999lyFDhjBw4EDuueceXnzxRRwOR5W3uWHD\nBubNmwfAF198wSuvvFLucxISEvj444/LfPyjjz5i2LBh9O/fnwEDBjB27Fi++eabCtXz2muvsX79\n+ooVX4aRI0eSlZV12fLt27fTrl07Bg4c6P7vrrvuYvTo0Zw9e7bc7V78+fbMM8+wdevWatX5c6Xg\nfZVbuHAhn376KW+++Sbr1q1j7dq1dOvWjeHDh/PDDz9c8blbt24tcQCurPPnz+vgK3VKdfoF6lbP\ndOvWjYyMDM6dOwdAVlYWJ0+e5JprrnHXUFBQwI4dO+jVq5dXahK5ktmzZ/PVV1/xt7/9jX/+85+s\nXLmSQ4cO8cwzz1R5m3feeSfTp08H4Ouvv+b8+fPVqnHZsmX85S9/YcGCBXz88cesXbuW2NhYRo4c\nSXp6ernP3759O4WFhdWqYcuWLWU+FhUVxT//+U/3f5988gl+fn6888475W734s+3+fPn86tf/apa\ndf5cKXhfxX744QeSkpL405/+xHXXXQeAn58fgwYNol+/frz55puXjUwV33/55Zc5efIkEydOJC0t\njYSEBGbPns3999/PnXfeyZIlSwA4duwYHTp0cD//4vtTp04lLy+PgQMH4nQ6vbjnIpVXkX6By0dz\nvdUzU6ZMYerUqcTGxnLXXXcxa9YsCgoKAMjIyGDkyJHukcCVK1cCRQfx++67jxEjRnDfffeVGBkM\nDw+nbdu2fPnll0DRaF+3bt3o1asXGzduBGD37t1cf/31XH/99RQUFDB37lzuueceBgwYwDPPPIPN\nZnO/B08++SR33303n332mfs17HY7DzzwAC+++CIAmZmZjB07liFDhjBgwADeeOMN93twxx13MHLk\nSPr168fJkyer/oOUn6WjR4+ydu1annvuOUJDQwEICQlhzpw59O3bF4BDhw7x0EMPMXz4cHr37s2Y\nMWPIz88H4JZbbmHhwoUMGTKE/v378+mnnwKwevVqHn30UdLS0khKSmLdunW8/PLL5OTk8PTTTxMb\nG0u/fv0YMmQIBw8evGKNDoeDl19+mZdeeokbb7zRvfyOO+7gkUce4eWXXwYuHzEvvv/++++zZ88e\nXnjhBT777LMr9vxNN91UYlS7+P7UqVMB+P3vf8+JEyfKfV9tNhtZWVmEh4cDsGvXLh544AGGDRtG\nr169mDZtGkCpn2/F+7B+/XoGDRrEgAEDiIuLY/fu3eW+7s+ZgvdVLC0tjRYtWrgb6mK/+tWvSE1N\nLfO548ePp1GjRrz00kvcdtttAHz//fcsX76cf/zjH6xbt47PP//8iq+/YMEC6tWrxz//+U/8/f2r\ntzMiNaw6/QLe6Zn9+/fz7rvvsm7dOjIyMlixYgWFhYU88cQTTJgwgdWrV7Ns2TLeeecddu3aBcD/\n/vc/Fi1axL/+9S/MZnOJ7fXs2ZPt27cD8Pnnn9OrV68SwXvbtm3ccccdALz++uucPHnSPVLmcrl4\n4YUX3Ntq1aoVH330kTsE2Ww2Ro0axR133MGkSZMAmDRpEkOHDmX16tWsXLmSrVu3sm7dOqDoF5/H\nHnuMTz75hEaNGl3xfZKrz759+7jxxhuxWq0lljds2JBf//rXACQnJzNo0CBWrFjBp59+yrFjx/ji\niy+Aomkq4eHhrF69mj/96U9MmzatRHC97bbbGDFiBPfccw/jx48nJSWFsLAwkpOT+eSTT2jbtm25\nU66+/fZbAgMDadmy5WWPde3atdzPkAceeIC2bdvy9NNPu/uotJ6/kgULFgDwt7/9zT2AcLEjR44w\ncOBA7r33Xrp27cqDDz5Inz59+P3vfw/A//3f//HEE0/w97//nQ8//JCNGzeyZ8+eUj/foOiX/lmz\nZvHqq6+ydu1annjiCR577DH3L+VXo4DaLkBqV1l/snI4HJhMpkpta/jw4QQGBhIYGEj//v3ZvHkz\nrVq18kSZIj7Bk/0Cnu+ZwYMHY7FYABg4cCAbNmygS5cuHDlyxD0yBZCXl8e+ffto2bIl1113Hddf\nf32p2+vZsyfPPPMMDoeDL7/8khdeeIGgoCBOnz7N6dOn2b59O0888QQAKSkpjB8/nsDAQKBolG7s\n2LHubXXq1KnEtidNmkRAQIB7znpOTg47duzg/Pnz7nm0OTk57N+/n3bt2hEQEED79u2r/N7Iz5uf\nnx8ul+uK60yaNIktW7bw1ltv8d1333Hy5ElycnLcj//2t78F4OabbyY6OpodO3aUua3+/fvTtGlT\nEhMTOXz4MP/9739L/KWqLJ7+DCmt54v3oyqKp5oArFq1ipdffpk777zT3dfPP/88KSkpvPHGGxw8\neJC8vLwS7+Gl/vOf/9ClSxeaNm0KFP2CERkZyZ49e+jSpUuV66zLFLyvYu3bt+fw4cOcOnWKhg0b\nlnhs+/btdOjQgZSUlBJzUq/0JZWAgJ/+ORmGgZ+fHyaTqcTzi/8MJlLXVKRfitVWz1w8Cl68PafT\nSVhYmPtgCnD69GlCQ0PZtWsXISEhZW6vTZs2nDlzhvXr19O2bVuCg4MB6NGjB1u2bOHgwYPu/b40\n9LhcrhK1X/o6Y8aMYfv27bz44ovMmDEDl8uFYRgkJSW5XycrK4ugoCDOnj2L2Wwu8X6JXKxdu3Yc\nPHgQm81WYtQ7MzOTGTNmsGTJEqZMmYLT6eTuu++mV69enDhxokSvXdw/Lpfrin+J/eCDD0hOTuaB\nBx5gwIABREREcOzYsRLrLF++nKSkJADatm3LzJkzAUhPT6d169Yl1r3SZ8iVPgNK6/lLVfXLpUOH\nDiUtLY2nnnqKVatWERAQwAMPPMDNN99Mjx49uPvuu0lLS7vi91ZKe8wwjGrPU6/LNNXkKta4cWMS\nEhJ46qmnyMzMdC9ftWoVn376KY888oj7N1Momtt16tQp93r+/v4lmudf//oXLpeL8+fP89FHH9Gn\nTx/CwsIoKCjgwIEDACXmdwYEBOB0Oqv1ZTMRb6lIvwC12jMfffQRDoeD/Px8/vGPf9C7d2+aN29O\nUFCQO3ifOHGCe++9t0JnVzGZTHTr1o033nijxBcoe/XqxTvvvEPnzp3dYbhHjx4kJSVRUFCAy+Xi\n/fffp1u3bmVuu127dsyePZuPP/6YzZs3Y7Vaad++Pe+++y4AFy5cIC4ujg0bNpRbp0jjxo0ZMGAA\n06ZNc09jsNlszJ49m4iICOrVq8fmzZsZO3Ys99xzDyaTibS0tBLflVizZg0Ae/fu5dChQ/zyl78s\n8RoX9+/mzZsZPHgww4YNo3nz5mzcuPGy713ExcW5p17Nnz+foKAgJk6cyNNPP01GRoZ7vS+++IK3\n336bP/7xj0DJz5AjR46UOOPJpZ8hpfV88TaKv2ty8WdIadu4kgkTJnDy5EmWLVvG+fPn2bNnDxMn\nTuTXv/41mZmZHDlyxP1Ld2nb7dKlC1u2bOHo0aNA0fS0EydOlJiOcrXR8MFVbsKECfz9739nzJgx\nOBwOHA4Ht956K0lJSVx//fVMnDiR2bNns2LFCtq0aUObNm3cz73rrrsYP368+1RLeXl53H///djt\nduLj4+natStQ9Oe94hDfv39/9/MbNmzILbfcwt13383y5cupX7++d3depJLK6xegVnumXr16xMfH\nc+HCBfr168fQoUPx8/Nj6dKlzJ8/n7/+9a8UFhbyxz/+kY4dO7rnb19Jz549WbNmjfuADtC9e3cm\nTZrEQw895F42ZswYFi5cyKBBgygsLKRdu3bMmDHjituOjIxk1qxZTJs2jbVr1/LSSy8xd+5cBgwY\ngMPh4N577+W+++67bCRRpDSzZs1i6dKljBgxAn9/fxwOB3fddRfjxo0Dir5nMXbsWMLDwwkODuaX\nv/wlR44ccT9/586dJCcn43K5ePnlly/7PkfXrl0ZN24cgYGBjBw5kpkzZ7J69Wr8/f1p06YN3377\nbbk1jhgxggYNGjB9+nQuXLhAYWEhzZs355133nGPgo8ZM4YpU6awadMmWrRoUWKaVu/evVm4cKF7\nFLy0noeiU/s9++yzhIWF8atf/arEX+n69u1LfHw8S5cuJTo6+or1hoeHM3HiRBYsWMC9997LH/7w\nBwYPHkxERAT169cnJiaGw4cP07Vr18s+3wBuvPFGZs2axeOPP47T6aRevXq88cYb7i/AXo1MhoYb\nxQMSEhJ44IEHSoQEESmbp3tmypQptGrVilGjRnlkeyJXk5tuuolt27YRGRlZ26VUmHq+btJUExER\nERERL9CIt4iIiIiIF2jEW0RERETECxS8RURERES8QMFbRERERMQL6uzpBMu7tKrI1ahjx461XUKZ\n1LMiJalfReoWT/RsnQ3e4NsfWqVdmcpXqLaq8+X66sKB0ld71pd/rr5cG/h2fb5cm/q16nz55wq+\nXZ9qqzpP9aymmoiIiIiIeIGCt4iIiIiIFyh4i4iIiIh4gYK3iIiIiIgXKHiLiIiIiHiBgreIiIiI\niBcoeIuIiIiIeIGCt4iIiIiIF9TYBXQGDx6M1WoFoEmTJowePZopU6ZgMplo1aoVs2bNws/Pj+Tk\nZJKSkggICGDMmDH07t2bvLw8Jk2axJkzZ7BYLCxcuJDIyMiaKlVEynFpPy9YsMD92MaNG/nzn/9M\nQEAAQ4cOJTY2trbKFJEfqWdFfFONBO/8/HwMwyAxMdG9bPTo0Tz55JPcfvvtzJw5kw0bNtC+fXsS\nExNZtWoV+fn5xMfH061bN5YvX050dDTjxo3jww8/ZOnSpUyfPr0mShWRcpTWz8UKCgpYsGABK1eu\nJDg4mLi4OPr06UODBg1qoVIRAfWsiC+rkeC9f/9+cnNzGTlyJIWFhTz11FPs3buXzp07A9CzZ0+2\nbNmCn58fHTp0wGw2YzabiYqKYv/+/aSmpvLwww+71126dGlNlCmAYRg4nC4chS4KnAYF7ttF9x2F\nLhzO4vsuCl0GhmHgdIHLKLrtMsDpMn68X/K2yzBw/rhO0fOMi177ojp+/H9m5nm2nD5YRq3F6155\nG5cvL339S9+Hijh56iyNTvyvQut6W9fwmtluaf3cvn17ADIyMoiKiiI8vOjFO3bsyI4dO7j77rtr\nphih0Oki/8cedfzYpwU/3s+/qHeLe/binnT92JPu25cud12yjuun7imr1zJ/OFdqz1akB0vftvq1\nutSzvsPlMsi/5DhaUHjxcbdkL1/ck07XRcdY9/HWwOW6+H7J9VzG5f3j6X6t6Po/Lav7/WoymegS\n5plt1UjwrlevHqNGjWLYsGF89913PPLIIxiGgclkAsBisZCdnY3NZiM0NNT9PIvFgs1mK7G8eN3S\npKen10T5HpGXl+fV+vILXZyyF5KV6+R8npML+S4u5Dk5n1902+5wkVvgIq/QRY7DRZ7zMHkFBrmF\nLlwV6wkvOlPbBZTjbG0XUKpVw66tke2W1s8ff/wxAQEBZfZwWXy1Z73dr06XQVauk9P2wqIezXNx\nId/pvp2d7yS30CC3wEWOw0n+yiPkFbrILTAo8L2GBbJqu4AruLr6FTzXs+rXIoZhYHO4OGkv5Fyu\ns2TP/ni8zS1wkVvoIq/AIKfASX7h4aL7herXyvHNfjUBKz3UszUSvJs3b06zZs0wmUw0b96ciIgI\n9u7d637cbrcTFhaG1WrFbreXWB4aGlpiefG6pWndunVNlO8R6enpHq8v1+Ek45SNbzOz+TbTxnen\n7Rw/l8v353I5Y3eU+hxrUAD1LYGE1QvEEhJAA7M/zvwcrm1QnxBzAJYgf0LMAZj9/TAH+BHo70eg\nv+mi2z/e9/cjMMCPAD8Tfqai/0wm8HffB7+Lb5tMP97HvX7x7R9//wLARIk7fPvtN0RH33TJOhfd\n/vGBkstK397Fyy9W2fUvtn//fm6++ebyV6wFu3d9VSPbLa2fT506xXXXXVdmD5fFV3u2JvrV6TI4\nmpXDt5nZ/O+kjYyTNo6dy+X42Vx+uJBX4q8/xcz+fkRazESEBGIJCqCR1R9Xfg6NG9THYg4gJMif\nkMAA6gUW9aY5wO/H3jS5+9Xs/9Nj/n6mH3v0oj70A3+TCdOPPVncw6Yf1/H3++l2cd8Wu7Rfoahn\nb7rppksXF92+qKnK61n1q+d4qmevpn4FOG3LL+rXTBv/O5nNkayi4+v353LJcTgvW99kgvohRf0a\nWi+IiOCi42lhnp3rGkZiMfsTElTUr2Z/P4IuPq4G+GH2v6hvA4qOtcU9WNox1mQy4V/O8ddEGT3j\n4X69dPml78ul69f1fgXP9WyNBO+VK1fy7bffMnv2bDIzM7HZbHTr1o3t27dz++23k5KSQpcuXWjX\nrh1/+tOfyM/Px+FwkJGRQXR0NDExMWzatIl27dqRkpJCx44da6JMn2YYBhmnbKQePkvq4bPsPHKO\njFM2959xAv1NNI0MoUn9ENpeH8b1EcH8IiKYa8PqEWk1uz8MggL8L9t2TX1oeYLV7E94cGBtl1Gm\nAL+iD8qrSWn93LBhQwBatmzJ4cOHOXfuHCEhIXz55ZeMGjWqliuuHWds+Xx5+Cw7D59l55GzfH38\nPHkFLvfj14XXo2n9EH55Q32ur1/Ur78ID+aaH/s10mImxOxf4uAHvt2vUNSzYfV8s2evxn4F9WxF\n5BU4STt6jp1HzrHzyFm+OnKO07Z89+OhQQHc0MBCy4YWerZqyC8i6nF9RDANQ4OobzETGWImLDgQ\nf7/LE6Uv96z6tfbVSPC+//77mTp1KnFxcZhMJp577jnq16/PjBkzWLx4MS1atKBfv374+/uTkJBA\nfHw8hmEwfvx4goKCiIuLY/LkycTFxREYGMiiRYtqokyfk1fg5N//O83G/Sf54puTnDifB0BESCAx\nUfX5za3XcdO1obRqZOWGBpar4h+o1L7S+vmjjz4iJyeH4cOHM2XKFEaNGoVhGAwdOpTGjRvXdsle\nYRgGXx8/z4b0on5NO3YeKBq1bnN9GPGdm3HztaHc2NhKq0ZWQn30YCc/P+rZ0mVeyOOzfZl88c1J\nthw4Q25B0Sh28wYWekY3oM0vwmnVyEp041AahwVd9kuwiCfUSPA2m82lhuVly5Zdtiw2NvayUxkF\nBwezZMmSmijN5xiGwY7vzrJ65zE+/PoE2XmFWIMC6H5jA/54Z0N+2TySFg0s+gCQWlPo3Wu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pIef/zxWISoYw0tOljj1U0XjY3J6wEm++Mf/6jm5mYtWLBAy5Yt08033yyXy6WLL75Yc+bMiUkM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\nFenHP/6x8vLy5Pf7O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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Is it really heading a situation in which all variables are unchanging?\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 5000, T = 1000)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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JZGRkjnYMHz78tvbFhQsXGDNmDBcvXuT8+fNUq1aNDz74wPKcixYt4uDBg6Sl\npfH000/z+OOPA9e+rERERGBjY0OVKlV48803qV27NiNGjODy5cskJCTQrl07XnvttaJ/AUWAhIQE\nVq1aRXR0NC4uLgCUL1+ecePGsWvXLuDmn6/e3t7079+fHTt2cPXqVV555RW6dOnCsmXLWLNmDS++\n+CKRkZFkZmbi6urKv//9b8aOHcvx48e5cuUKzs7OvP/++zzwwAP51nj+/HnS09NJS0vDzs4OV1dX\nJk+eTFZWFnv27Mmx/aFDh+b7uX7+/HnCw8M5evQoNjY29O3blyeffNLyPBkZGbz66qvY2dkxadIk\n7OwUGwtDe60Mi4qKokePHjz66KOkp6fTs2dPNm/eTFBQEADVq1fnrbfe4tChQ4SFhfHNN9+wadMm\ntm3bxhdffEH58uWZOXMmI0aM4JNPPgGgQoUKfP3113k+X0pKCo8++qjlsa2tLcuWLePIkSOEh4cT\nGRlJjRo1iImJ4cUXX7T8RHX69Gm++uor7Ozs+Oyzz9i/fz8rV67EwcGBV155xfJ8hw4d4vPPP8fO\nzo4lS5YwevToUnsmUMq2/v37Y2PzVy+86tWr8+GHH7Jo0SK8vLwsZ74TEhJ48MEHefbZZ5k5c6Zl\n+VdeeYXHH3+cfv36cebMGcLCwmjTpo1l/vHjx5k2bRqfffYZlSpV4pdffuHpp59m7dq1AOzcuZMV\nK1bg4uLC888/z5IlSxg8eHCe212xYgVubm5s27aNtm3bsnr1alq2bJkjaAPMmTOHc+fOsXLlSmxt\nbXnjjTeYPHkyb731FocPH7a043atXr2aJk2a8K9//QvDMPjXv/7FypUreeaZZwBwdHRk+fLlnD17\nlh49etC4cWMuXLjAf/7zH5YsWYK7uzvLli1j4MCBrF69Grj2Nyb7/yLWcuDAAerWrWsJ2tmqVq1K\nly5dgJt/vmZmZlKxYkWWLVvGwYMHeeKJJ/D397dsp3HjxvTt25fff/+doUOH8u2331KhQgWioqIA\nGDNmDAsXLuTNN9/Mt8ann36aF198kYCAABo3boyvry9BQUF4e3sD5Nj+0qVL8/1cHzduHLVq1WL2\n7NkkJiYSEhJC27ZtgWtfwF9++WU8PDx48803MZlMRbqf/04Utsuw1157je+++4558+Zx/Phxzp07\nx9WrVy3zQ0JCADCbzdSpU4ddu3axdetWevbsSfny5QF48sknmTt3rqWf2vV/MG6UXzeS2NhYAgIC\nqFGjBgBKOIMvAAAgAElEQVQtW7bE3d2dn376CYAmTZpYvi1v376dRx99lHLlygHXzr4DvPzyy+zb\nt49evXoBkJWVxZ9//ln4nSNyB27WjeRWLl++zMGDB+nduzcA9913H+vXr8+xzHfffce5c+d46qmn\nLNNMJhMnT54EoHnz5pYg4O3tzZUrV2663X79+hEVFUXbtm1ZsmQJr7/+eq66tm7dytChQ7G3tweu\n9dkcOHBgodoI176Q7Ny5k/nz53P8+HF++eUXGjdubJnft29fADw8PAgMDCQmJobffvuNbt26WfZt\nz549mTBhgqU/vJ+fX6HrEbldNjY2ZGVl3XSZW32+PvHEEwDUq1cPs9nMDz/8kO+2unbtSo0aNYiI\niODEiRN8//33t7wW695772XZsmUcPnyYHTt2sGPHDvr06cOIESPo169fjmVv9rm+fft2y69Erq6u\nfPXVV5b1Jk2aRHJyMuvWrVPQvkMK22XYK6+8QmZmJg8//DDt2rXjzJkzlosngBxn5gzDwM7OLsd8\nuBZqMzIyLI+zD9aCuHGb2dOyt3v9Nm/8ierChQtkZWWRlZXFc889R2hoKABpaWnqjyZ3pez3+PUf\nXkePHuX++++3PM7KyqJly5aWL5sAZ86c4Z577mHdunWWL6PZ28k+fvPbbvfu3Zk6dSqxsbFcvXqV\nZs2a5arrxnCRlZVFenp6odv53nvvsXfvXnr16kWLFi3IyMgo8N+f7Hl5/a0QsRYfHx+OHj1KUlJS\njrPbZ8+e5c0332TGjBmMGDHipp+vtra2lv9nZWXleHyjRYsWERUVRb9+/ejevTtubm6WL5j5mTx5\nMr1796Zu3brUrVuXfv36sXLlSubNm5crbN/sc93Ozi7H34yEhAQqVaoEwCOPPIJhGIwePZq5c+fe\ntB65OY1GUoZFR0czcOBAunXrhslkYs+ePWRmZlrmL1++HID9+/dz4sQJGjduTGBgIMuWLbN8Q4+I\niKBZs2Y4ODgUuo6AgAC+++47EhISAIiJieHMmTM5znJla9myJV999RVpaWlkZWUxduxYVq9eTWBg\nIF988QVJSUkATJ8+Pc+zcyKlnYuLCw0aNGDFihXAtRAdEhJCYmKiZZnsY+bIkSMAbNmyhUceeYTU\n1NRCbdfJyYlHHnmEUaNGWc4o36h169ZERkaSnp5OVlYWCxcupFWrVoVuZ3R0NP3796dHjx5UrlyZ\n7du35/n359dff2X79u20bNmSwMBAvv76a8voJkuXLsXNzY2aNWsWug6RgvLw8KB79+6MGjXK8pmT\nlJTE2LFjcXNzo1y5crf8fM0+Dvfv38+xY8dyfcG1tbW1BN7o6Ggee+wxevfuTe3atdm4cWOObeXl\n0qVLTJ8+3fILr2EYHDt2zNKN5Prt3+xzvWXLlixduhTAcpHl8ePHgWtfOoYMGcLJkyctXVykcHRm\nuwy4evVqrp+cIiMjGTp0KAMHDqRixYo4OTnRrFkzy8/QcO0bbI8ePTCZTEydOhU3Nzcef/xxzpw5\nQ+/evcnKyqJmzZq8//77d1Rf3bp1CQ8P56WXXiIzM5Ny5coxd+5cXF1dcy3bt29fTp8+Tc+ePTEM\ng+bNmxMWFoaNjQ1nz54lODgYk8nEfffdx8SJE++oLpHCurHPNlz7JSm7r+OtTJkyhXHjxhEREYHJ\nZGLChAlUrVrVMv/BBx/krbfe4pVXXrGc9Z0zZ84tz+zebLs9e/a09DPNywsvvMCkSZPo0aMHGRkZ\n+Pj43LTP6PWyR1jINnXqVAYOHMjkyZOZPXs2tra2+Pr65vj7k5qaymOPPUZ6ejqjR4+mdu3a1K5d\nm6eeeor+/fuTlZWFu7s7H330Ua59LWJt4eHhzJ49m759+2Jra0taWhqdOnVi0KBBALf8fP3xxx+J\niooiKyuLadOmUbFixRzbb9myJYMGDcLe3p5nnnmGMWPGsGzZMmxtbWnQoAGHDh26ZX3Tpk3jkUce\nwcHBgYyMDAICAhgzZkyu7b/xxhv5fq6PGTOGsWPH0r17dwzD4N///jcNGza0PI+joyMTJ07kmWee\nISAgAE9PzyLZv383JiOv3+1ERKTMMAyDefPmcfr0acaNG1fS5YiUaV5eXsTExBT6ug4pe3RmW0Sk\njOvYsSPu7u7MmTOnpEsREfnb0ZltERERERErUUc4ERERERErUdgWEREREbGSu7bPdlxcXEmXIFLq\nlOabfuiYFclJx6vI3aWwx+xdG7ahdP+huh3x8fHUr1+/pMu4Y2WhHWWhDXfDh6OO2ZKnNpQOOl6t\nryy8T8pCG6BstONOjll1IxERERERsRKFbRERERERK1HYFhERERGxEoVtERERERErUdgWEREREbES\nhW0REREREStR2BYRERERsRKFbRERERERK1HYFhERERGxEoVtERGRUurixYu0bduWI0eOcOLECUJC\nQggNDSU8PJysrCwAoqKi6NmzJ8HBwWzatAmAlJQUBg0aRGhoKAMGDODSpUsA7N69m969e9O3b19m\nzZpVYu0S+TtR2BYRESmF0tPTGTNmDOXKlQPg3XffZciQISxatAjDMNiwYQPnz58nIiKCyMhIPvnk\nE6ZOnUpaWhqLFy/GbDazaNEievTowezZswEIDw9nypQpLF68mD179nDgwIGSbKLI34JdSRcgIiIi\nuU2aNIm+ffvy8ccfA7B//36aN28OQJs2bfjuu++wsbGhadOmODg44ODggKenJwcPHiQuLo7nnnvO\nsuzs2bNJSkoiLS0NT09PAAIDA9m+fTve3t55Pn98fHwxtNJ6UlJS1IZSoqy0o7AUtkVEREqZZcuW\n4e7uTuvWrS1h2zAMTCYTAM7OziQmJpKUlISrq6tlPWdnZ5KSknJMv35ZFxeXHMsmJCTkW0P9+vWt\n0bRiEx8frzaUEmWhHXFxcYVeV2FbRESklFm6dCkmk4mYmBji4+MZPny4pd81QHJyMhUqVMDFxYXk\n5OQc011dXXNMv9myFSpUyLeGy1fTcCvvYIXWify9qM+2iIhIKbNw4UIWLFhAREQE9evXZ9KkSbRp\n04YdO3YAsHXrVvz9/fHx8SEuLo7U1FQSExM5cuQIZrMZX19ftmzZYlnWz88PFxcX7O3tOXnyJIZh\nEB0djb+/f7417E64XCxtFSnrdGZbRETkLjB8+HDefPNNpk6dygMPPEBQUBC2traEhYURGhqKYRgM\nHToUR0dHQkJCGD58OCEhIdjb2zNlyhQAxo0bx7Bhw8jMzCQwMJDGjRvn+3x7Eq7Qzuue4mqeSJml\nsC0iIlKKRUREWP6/YMGCXPODg4MJDg7OMc3JyYkZM2bkWrZJkyZERUXd1vPuTvi9gJWKSF7UjURE\nRERy2Z1wGcMwSroMkbuewraIiIjk8vvVdE5eulrSZYjc9RS2RUREJE+6SFLkzilsi4iISC5O9rbs\nOqmwLXKnFLZFREQkl0bVKurMtkgRUNgWERGRXJp4unHg1z9Izcgs6VJE7moK2yIiIpJL4+pupGVm\ncfBMYkmXInJXU9gWERGRXJp4ugG6SFLkTilsi4iISC73VyxHVVdHhW2RO6SwLSIiIrmYTCaa1HBT\n2Ba5QwrbIiIikqcmNdw4diGZy1fTSroUkbuWwraIiIjkqWkN9dsWuVMK2yIiIpKnRtUrYjIpbIvc\nCYVtERERyZNrOXu8PFyJO/F7SZcictdS2BYREZF8+dWsxK6Tl8nMMkq6FJG7ksK2iIiI5Mu/ViWS\nUjP4+Tfd3EakMBS2RUREJF/+Nd0BiDtxqYQrEbk7KWyLiIhIvqpXcuIeV0d2qt+2SKEobIuIiEi+\nTCYT/rUqsfO4wrZIYVgtbO/Zs4ewsDAATpw4QUhICKGhoYSHh5OVlWVZLisri+eee47FixcDkJKS\nwqBBgwgNDWXAgAFcuqSfrUSK2/XH7/U2btxIr1696NOnD1FRUTnmXbx4kbZt23LkyJHiKlNEiolf\nTXdOX/6T366klHQpIncdq4TtefPmMXr0aFJTUwF49913GTJkCIsWLcIwDDZs2GBZ9oMPPuCPP/6w\nPF68eDFms5lFixbRo0cPZs+ebY0SRSQfNx6/2dLT03n33Xf573//S0REBEuWLOHChQuWeWPGjKFc\nuXIlUbKIWJl/zUoA7FS/bZECs7PGRj09PZk5cyavv/46APv376d58+YAtGnThu+++47OnTvz7bff\nYjKZaN26tWXduLg4nnvuOcuyNwvb8fHx1ii/2KSkpNz1bYCy0Y6y0IaicuPxm+3IkSN4enpSsWJF\nAPz8/Pjhhx94+OGHmTRpEn379uXjjz++6bbv9n1cFt4naoMUhvf9FXCyt2Xn8d/5p8/9JV2OyF3F\nKmE7KCiIU6dOWR4bhoHJZALA2dmZxMREDh06xFdffcWMGTP48MMPLcsmJSXh6uqaY9n81K9f3xrl\nF5v4+Pi7vg1QNtpRFtoQFxdXJNu58fjNdv2xCdeOz6SkJJYtW4a7uzutW7e+Zdi+2/dxWXifqA2l\nQ1Edr8XF3taGxjUq6uY2IoVglbB9Ixubv3qrJCcnU6FCBVasWMHZs2fp378/p0+fxt7enmrVquHi\n4kJycnKOZUWk5F1/bMK149PV1ZWIiAhMJhMxMTHEx8czfPhw5syZQ9WqVUuwWhEpav413Zmz5QjJ\nqRk4OxZLfBApE4rlaPH29mbHjh20aNGCrVu3EhAQQLdu3SzzZ86cSZUqVWjTpg2HDx9my5Yt+Pj4\nsHXrVvz8/IqjRBG5hTp16nDixAkuX75M+fLl2blzJ88++yxdu3a1LBMWFsbYsWMVtEXKIL9alcjc\nZLAn4TIP1a1S0uWI3DWKZei/4cOHM3PmTPr06UN6ejpBQUH5LhsSEsIvv/xCSEgIS5Ys4aWXXiqO\nEkUkH6tWrWLJkiXY29szYsQInn32Wfr27UuvXr3w8PAo6fJEpJj4elbCZELjbYsUkNXObFevXt0y\nNFjt2rVZsGBBvssOGjTI8n8nJydmzJhhrbJE5DZcf/x2797dMr1Dhw506NAh3/UiIiKsXpuIlIyK\nTvaY73FV2BYpIN3URkRERG6LX61K7DrxO5lZRkmXInLXUNgWERGR2+JfsxKJqRkcOpv/SGEikpMu\nJxYRESmFMjMzGT16NMeOHcNkMjFu3DgyMzMJDw/H1taWWrVqMWHCBGxsbIiKiiIyMhI7OzteeOEF\n2rdvT0pKCq+99hoXL17E2dmZSZMm4e7uzu7du5kwYQK2trYEBgYW6Noo/5ruwLV+2/Xv02hhIrdD\nZ7ZFRERKoU2bNgEQGRnJkCFDmDZtGrNmzWLgwIEsXryYtLQ0Nm/ezPnz54mIiCAyMpJPPvmEqVOn\nkpaWlu8dmcPDw5kyZQqLFy9mz549HDhw4LZrquHuhEcFR74/pjtJitwuhW0REZFSqFOnTowfPx6A\nX3/9lQoVKlC/fn0uX76MYRgkJydjZ2fH3r17adq0KQ4ODri6uuLp6cnBgweJi4uz3KG5TZs2xMTE\nkJSURFpaGp6enphMJgIDA9m+fftt12QymQh4oDI7jl7EMNRvW+R2qBuJiIhIKWVnZ8fw4cNZt24d\nM2bM4PLly7z11lvMmTMHV1dXWrRowbfffpvn3V3zuiNzUlISLi4uOZZNSEjI87nj4+PznO7plMbK\nxFTW79hL9YoORdjaopWSkpJvG+4WZaENUHbaUVgK2yIiIqXYpEmTGDZsGMHBwfz5558sXLiQBx98\nkIULFzJx4kQCAwPzvLtrXndkzutOsPndqbl+/fp5TneoksTMmC1csKlE5/qeRdjSohUfH59vG+4W\nZaENUDbaERcXV+h11Y1ERESkFFqxYgUfffQRcO0eFCaTiYoVK1rOTN9zzz388ccf+Pj4EBcXR2pq\nKomJiRw5cgSz2Yyvry9btmwBsNyR2cXFBXt7e06ePIlhGERHR+Pv71+guh6o4kxVV0dij14s2gaL\nlFE6sy0iIlIKdenShZEjR9KvXz8yMjIYNWoUbm5uDB06FDs7O+zt7Rk/fjxVq1YlLCyM0NBQDMNg\n6NChODo6EhISwvDhwwkJCcHe3p4pU6YAMG7cOIYNG0ZmZiaBgYE0bty4QHWZTCZa1HZnx9FLGIaB\nyWSyRvNFygyFbRERkVKofPnyTJ8+Pdf0yMjIXNOCg4MJDg7OMS2/OzI3adLEcofYwgp4oDJf7T3D\niYtXqVXF+Y62JVLWqRuJiIiIFEjAA9fG295xTF1JRG5FYVtEREQKpE5VF6q4OBB7VONti9yKwraI\niIgUyLV+2xpvW+R2KGyLiIhIgbV4wJ1fr6SQcOnPki5FpFRT2BYREZECC3igMgCx6rctclMK2yIi\nIlJgD97jgruzAzvUb1vkphS2RUREpMCyx9vWzW1Ebk5hW0RERAqlRW13Tl/+k4RLV0u6FJFSS2Fb\nRERECiWgzv/329bZbZF8KWyLiIhIoZjvcaWyswMxRxS2RfKjsC0iIiKFYmNj4qG6VYg+fEHjbYvk\nQ2FbRERECi2wbmXOJaZy+FxSSZciUiopbIuIiEihtapbBYDowxdKuBKR0klhW0RERAqteqXy1Kpc\nnuhfFLZF8qKwLSIiInekVd0qxB69SHpmVkmXIlLqKGyLiIjIHQmsW4XktEz2JFwu6VJESh2FbRER\nEbkjLetUxmRSv22RvChsi4iIyB1xK+9Ao2oV+U5hWyQXhW0RERG5Y4F1q7Dr5GWSUjNKuhSRUkVh\nW0RERO5YYN0qZGQZfH9Md5MUuZ7CtoiIiNwx35qVcLSzIfoXhW2R6ylsi4iIyB0rZ29L89ru6rct\ncgOFbRERESkSrepW4eeziZz7I6WkSxEpNRS2RUREpEgE6tbtIrkobIuIiEiR8L6vAlVcHNj88/mS\nLkWk1FDYFhERkSJhY2OizYNV2frLeTKzjJIuR6RUUNgWERGRItOu3j1cvprOnlO6dbsIKGyLiIhI\nEWrzYBVsTKgricj/U9gWERGRIuNW3oEmNdzY8vO5ki5FpFRQ2BYREZEi1c7rHvacusKFpNSSLkWk\nxClsi4iIlEKZmZmMHDmSvn37EhISwqFDh7h48SIvvPAC/fr1o2/fvpw8eRKAqKgoevbsSXBwMJs2\nbQIgJSWFQYMGERoayoABA7h06RIAu3fvpnfv3vTt25dZs2ZZpfZ2XlUB2HpIXUlE7Eq6ABEREckt\nOzRHRkayY8cOpk2bRsWKFenevTvdunUjNjaWo0eP4uTkREREBEuXLiU1NZXQ0FBatWrF4sWLMZvN\nDBo0iNWrVzN79mxGjx5NeHg4M2fOpEaNGvzrX//iwIEDeHt7F2ntDe+vaBkCsKdv9SLdtsjdRme2\nRURESqFOnToxfvx4AH799VcqVKjAjz/+yNmzZ3nqqadYtWoVzZs3Z+/evTRt2hQHBwdcXV3x9PTk\n4MGDxMXF0bp1awDatGlDTEwMSUlJpKWl4enpiclkIjAwkO3btxd57RoCUOQvOrMtIiJSStnZ2TF8\n+HDWrVvHjBkz+Oqrr6hQoQKffvops2bNYt68edSqVQtXV1fLOs7OziQlJZGUlGSZ7uzsTGJiIklJ\nSbi4uORYNiEhIc/njo+Pv6PaH3RNZ9nVdFZG76Z+1XJ3tK3CSElJueM2lLSy0AYoO+0oLIVtERGR\nUmzSpEkMGzaM4OBgXF1d6dChAwAdOnRg2rRpNGzYkOTkZMvyycnJuLq64uLiYpmenJxMhQoVcky7\nfnpe6tevf0d131czjfe2reN4Snl61ve6o20VRnx8/B23oaSVhTZA2WhHXFxcode1WjeSPXv2EBYW\nBsCJEycICQkhNDSU8PBwsrKyAPj000/p3bs3vXv3tlykkd8FHSJSfK4/fq+3ceNGevXqRZ8+fYiK\nigIgPT2d1157jdDQUB5//HE2bNhQ3OWKlEkrVqzgo48+AsDJyQmTyUSzZs3YsmULAD/88AN169bF\nx8eHuLg4UlNTSUxM5MiRI5jNZnx9fS3Lbt26FT8/P1xcXLC3t+fkyZMYhkF0dDT+/v5WqT97CMDN\nukhS/uascmZ73rx5fPnllzg5OQHw7rvvMmTIEFq0aMGYMWPYsGED9erV48svv+Tzzz/HxsaGkJAQ\nOnXqRExMTJ4XdIhI8bjx+M2Wnp7Ou+++yxdffIGTkxMhISF06NCBLVu24Obmxnvvvcfly5fp0aMH\nHTt2LKHqRcqOLl26MHLkSPr160dGRgajRo2ifv36jB49msjISFxcXJgyZQoVK1YkLCyM0NBQDMNg\n6NChODo6EhISwvDhwwkJCcHe3p4pU6YAMG7cOIYNG0ZmZiaBgYE0btzYam1o53UPU9cd4kJSKlVc\nHK32PCKlmVXCtqenJzNnzuT1118HYP/+/TRv3hy4dpHGd999R7t27fjPf/6Dra0tABkZGTg6OhIX\nF8dzzz1nWXb27NnWKFFE8nHj8ZvtyJEjeHp6UrFiRQD8/Pz44Ycf6Nq1K0FBQQAYhmE5pkXkzpQv\nX57p06fnmj5//vxc04KDgwkODs4xzcnJiRkzZuRatkmTJpZfpqyt/f+H7c0/n+dxP41KIn9PVgnb\nQUFBnDp1yvLYMAxMJhPw10Ua9vb2uLu7YxgGkydPxtvbm9q1a+d5QUd+7vbO9mXlgoGy0I6y0Iai\ncuPxm+36YxP+ugjL2dnZMn/w4MEMGTIk323f7fu4LLxP1AYpTg3ur4BHBUfWHzirsC1/W8VygaSN\nzV9dw6+/GCM1NZVRo0bh7OxMeHg4QJ4XdOTnbu9sXxYuGICy0Y6y0IY7uXjjduR1YVV2+D5z5gwD\nBw4kNDSU7t2757uNu30fl4X3idpQOlj7eC0tbGxMdKrvwfJdp0lJz6ScvX75kr+fYhln29vbmx07\ndgDXLtLw9/fHMAxefPFFvLy8eOuttyw/Ped1QYeIlLw6depw4sQJLl++TFpaGjt37qRp06ZcuHCB\nZ555htdee43HH3+8pMsUkVKmk7cHV9MyiTlysaRLESkRxXJme/jw4bz55ptMnTqVBx54gKCgINav\nX8/3339PWloa27ZtA+CVV17J94IOESkZq1at4urVq/Tp04cRI0bw7LPPYhgGvXr1wsPDg7fffps/\n/viD2bNnW66xmDdvHuXKFf+4uiJS+jxUpzLODrasPXCW9vXuKelyRIqd1cJ29erVLRdg1K5dmwUL\nFuSY37lzZ/bt25fnunld0CEixef64/f6biEdOnSwjPGbbfTo0RoxSETy5WhnSxtzVTbEnyUrqyE2\nNqaSLkmkWOl27SIiImJVnb09OJeYyt7TV0q6FJFip7AtIiIiVtXe6x5sbUysP3C2pEsRKXYK2yIi\nImJVlZwd8K9ZiXUK2/I3pLAtIiIiVtfZ24OfzyZy8uLVki5FpFgpbIuIiIjVdfb2AGBdvM5uy9+L\nwraIiIhYXc3Kzpg9XNRvW/52FLZFRESkWHSq78H3xy9x+WpaSZciUmwUtkVERKRYdGlwL5lZBuvj\nz5V0KSLFRmFbREREikXj6hW5v2I5vv3pTEmXIlJsFLZFRESkWJhMJro2vI+thy6QmJJe0uWIFAuF\nbRERESk23RrdS1pmFhsPqiuJ/D0obIuIiEix8fWshEcFR77ep64k8vegsC0iIiLFxsbGxMMN72Pz\nz+dJTs0o6XJErE5hW0RERIrVww3vJTVDXUnk70FhW0RERIqVfy13qrg48o1GJZG/AYVtERERKVa2\nNia6NvRg08HzXE1TVxIp2xS2RUREpNh1a3gff6ZnsuXn8yVdiohVKWyLiIhIsWte2x13Zwe+/um3\nki5FxKoUtkVERKTY2dnaENTgXjbEnyUlPbOkyxGxGoVtERERKRHdGt3L1bRMNmlUEinDFLZFRESk\nRLR8oDJVXBxZufvXki5FxGoUtkVERKRE2Nna8E+f+9j48zmu/Jle0uWIWIXCtoiIiJSYHk2rkZaR\nxRpdKClllMK2iIiIlJjG1StSs3J5Vu45XdKliFiFwraIiEgplJmZyciRI+nbty8hISEcOnTIMm/V\nqlX06dPH8jgqKoqePXsSHBzMpk2bAEhJSWHQoEGEhoYyYMAALl26BMDu3bvp3bs3ffv2ZdasWcXb\nqDyYTCYebXw/249c5NwfKSVdjkiRU9gWEREphbJDc2RkJEOGDGHatGkAHDhwgC+++ALDMAA4f/48\nERERREZG8sknnzB16lTS0tJYvHgxZrOZRYsW0aNHD2bPng1AeHg4U6ZMYfHixezZs4cDBw6UTAOv\n80iTahgGrNqr27dL2aOwLSIiUgp16tSJ8ePHA/Drr79SoUIFfv/9d6ZOncqoUaMsy+3du5emTZvi\n4OCAq6srnp6eHDx4kLi4OFq3bg1AmzZtiImJISkpibS0NDw9PTGZTAQGBrJ9+/YSad/16t7jQsNq\nFVi5W11JpOyxK+kCREREJG92dnYMHz6cdevWMX36dN544w1GjhyJo6OjZZmkpCRcXV0tj52dnUlK\nSsox3dnZmcTERJKSknBxccmxbEJCQp7PHR8fb6VW5S3gPjv+s/MS62L3UL2iwx1vLyUlpdjbUNTK\nQhug7LSjsBS2RURESrFJkyYxbNgwOnbsSJUqVRg7diypqakcPnyYCRMmEBAQQHJysmX55ORkXF1d\ncXFxsUxPTk6mQoUKOaZdPz0v9evXt27DbvDc/Sl8EreB/UlOdA4w3/H24uPji70NRa0stAHKRjvi\n4uIKva66kYiIiJRCK1as4KOPPgLAycmJKlWq8PXXXxMREcHUqVOpW7cub7zxBj4+PsTFxZGamkpi\nYiJHjhzBbDbj6+vLli1bANi6dSt+fn64uLhgb2/PyZMnMQyD6Oho/P39S7KZFvdWLEdA7cqs3P2r\npT+6SFmgM9siIiKlUJcuXRg5ciT9+vUjIyODUaNGUa5cuVzLVa1albCwMEJDQzEMg6FDh+Lo6EhI\nSAjDhw8nJCQEe3t7pkyZAsC4ceMYNmwYmZmZBAYG0rhx4+JuWr4ebXI/I5btY3fCZZp6VirpckSK\nhHXtIwQAACAASURBVMK2iIhIKVS+fHmmT5+e57zq1asTFRVleRwcHExwcHCOZZycnJgxY0audZs0\naZJj3dKkm899jF21ny/iTilsS5mhbiQiIiJSKlQoZ0/XBvfy5Z5fSUnPLOlyRIqEwraIiIiUGr39\na5CYksGa/bp9u5QNCtsiIiJSarR8oDLV3Jz4Iu5USZciUiQUtkVERKTUsLEx0cu3GtGHL/Dr5T9L\nuhyRO3ZbYTsrK4vMzEx27txJWlqatWsSERGRv7HH/WpgGLDsR53dlrvfLUcj+T/27jwsynr///hz\nWGVHcslU3DE3RFzS3M1yKdJc2Dy0aGbmUua+Z2pqZaZ5zOqYdVxA0o7l17KyVHKJoxi4YSYWuOW+\nMBgMy/z+8Dg/SRRTh2Hg9bgur0tu7vue94eZ9z2vuedeZs6cSa1atThx4gT79++nXLlyzJkzpyhq\nExERkVLI/z53Hqrhx+qEYwzpWBuDwWDrkkTuWKF7tvfu3Ut4eDg///wzS5Ys4Y8/dMKCiIiIWFff\nZlX5/dwVdqVesHUpInel0LCdl5fHvn37qFKlCiaTKd9tXkVERESsoVvD+3F3ceSzXUdtXYrIXSk0\nbPfo0YNp06bRv39/3nrrLcLCwoqiLhERESnFPFydeLxRJdbvOUlGVo6tyxG5Y4WG7X79+vHxxx+T\nm5vLiBEj6Nu3b1HUJSIiIqVceIuqZJhy+TLphK1LEbljhZ4g+c033/D++++Tm5tL165dMRgMvPTS\nS0VRm4iIiJRiwf5lqVvRi5XxaUS08Ld1OSJ3pNA920uXLiU2NhZfX19eeuklNm7cWBR1iYiISCln\nMBjo19KfvccvsefYRVuXI3JHCg3bjo6OuLi4YDAYMBgMuLm5FUVdIiIiIvRsUhk3Z0dWxqfZuhSR\nO1Jo2G7atCmvvvoqp06dYsqUKTRq1Kgo6hIRERHBu4wzTzZ+gC8ST3A5M9vW5Yj8bYWG7VdffZWe\nPXvSt29fOnbsyLhx425rxUlJSURFRQGQmppKREQEkZGRTJ06lby8PABiY2Pp1asXoaGhbNq0CYDM\nzEyGDRtGZGQkAwcO5Pz583c6NhG5Q9f37/V++OEHevfuTVhYGLGxscDVy4NOmTKFsLAwoqKiSE1N\nLepyRaSEi3zInz+zc/ni5+O2LkXkbys0bK9du5bz589Trlw5Ll26xNq1awtd6UcffcSkSZPIysoC\nYNasWbzyyiusXLkSs9nM999/z5kzZ1i2bBkxMTEsWbKEd955B5PJRHR0NAEBAaxcuZKePXuyaNGi\nux+liNy2v/bvNdnZ2cyaNYuPP/6YZcuWsWrVKs6ePcvGjRsxmUysWrWKkSNHMnv2bBtVLiIlVWAV\nHxpW9mZFfBpms9nW5Yj8LYVejSQlJQUAs9lMcnIyvr6+9OzZ85bL+Pv789577zFmzBgA9u/fT4sW\nLQBo164d27Ztw8HBgSZNmuDi4oKLiwv+/v4cPHiQhIQEnn/+ecu8twrbYR/suL1RFlNXrlzBPc7+\nT/goCeMoCWMY08zlnqznr/17TUpKCv7+/vj4+ABXDzHbuXMniYmJtG3bFoCgoCD27dt303WrZ21P\nYyge7lW/lhYGg4F+D1Vj/Od72Z12kabVytq6JJHbVmjYHjlypOX/ZrOZQYMGFbrSLl26cOzYsXzL\nGQwGADw8PEhPT8doNOLl5WWZx8PDA6PRmG/6tXlv5sqVK4XWUpzl5eXZ/RigZIyjJIwB7s2b91/7\n95pb9aynp6dluqOjIzk5OTg53bh5sfe/cUl4nWgMxYXC9t/1ZOMHmLk+mRXxqQrbYlcKDdsmk8ny\n/zNnzhT4JlwYB4f/f7RKRkYG3t7eeHp65rv1e0ZGBl5eXvmmX5v3ZtaNeORv11KcJCcnU69ePVuX\ncddKwjhKwhgSEhKsuv7b6Vm4GoQKCtqgni0ONIbiwdr9WhJ5uDrRs8kDfLbrGJMer4+fhz6wiH0o\n9Jjtrl270q1bN7p27crAgQMZMGDA336Q+vXrEx8fD0BcXBzNmjUjMDCQhIQEsrKySE9PJyUlhYCA\nAIKDg9myZYtl3qZNm/7txxORe69WrVqkpqZy8eJFTCYTu3btokmTJgQHBxMXFwdAYmIiAQEBNq5U\nREqqp1tVJysnj+j/6jKAYj8K3bP9ww8/3PWDjB07lsmTJ/POO+9Qs2ZNunTpgqOjI1FRUURGRmI2\nmxkxYgSurq5EREQwduxYIiIicHZ2Zu7cuXf9+CJy59atW8eVK1cICwtj3LhxDBgwALPZTO/evalY\nsSKPPvoo27ZtIzw8HLPZzBtvvGHrkkWkhAqo6EWb2uVYtiOVF9rVxNmx0H2GIjZ307AdFhZmOc76\nr2JiYgpdcZUqVSyXBqtRowbLly+/YZ7Q0FBCQ0PzTXNzc2PBggWFrl9ErOf6/g0JCbFM79SpE506\ndco3r4ODA6+//nqR1icipddzrasz4NNdbNj3ByGNH7B1OSKFumnYfuedd4qyDhEREZFCdaxbgWr3\nubN0228K22IXbhq2K1euDFy9Ic2GDRvIzr5616bTp09rL5aIiIjYhIODgWdaVef1/ztA0tGLNK7q\na+uSRG6p0IOdrl36b/fu3Rw7doyLF+372qYiIiJi3/o2q4KnqxNLt/1m61JEClVo2HZ3d2fQoEFU\nrFiR2bNnc/bs2aKoS0RERKRAXmWc6dO0Cuv3nuT05UxblyNyS4WGbYPBwJkzZ8jIyODKlSsl4EYC\nIiIiYu+efbg6OXlmlv+UautSRG7ppmF79erVZGZmMnToUDZu3EiPHj3o3LkzrVq1Ksr6RERERG5Q\nvZwHnepWYEV8GpnZubYuR+Smbhq2f/nlF0JCQli/fj1NmjThkUceYfv27YwdO7Yo6xMREREp0PNt\na3Iuw8RnCX//7tYiReWmYXvixIl89dVXtGzZknfeeYfw8HA+++wz/vzzz6KsT0RERKRALWv60biq\nLx/FHSE3z2zrckQKdMtjtp2dnenatSsffvgh8+fPJzU1lQ4dOhRRaSIiIqVXbm4u48ePJzw8nIiI\nCA4dOkRycjKRkZFERUUxYMAAy0ULYmNj6dWrF6GhoWzatAmAzMxMhg0bRmRkJAMHDuT8+fMAJCYm\n0rdvX8LDw1m4cKHNxncvGAwGBrevSdr5K3y976StyxEpUKG3a8/KyuK7775j7dq1ZGRkMHr06KKo\nS0REpFS7FppjYmKIj49n3rx5pKenM3nyZOrVq0dMTAwfffQRzz//PMuWLWPNmjVkZWURGRlJ69at\niY6OJiAggGHDhrF+/XoWLVrEpEmTmDp1Ku+99x5Vq1blhRde4MCBA9SvX9/Go71zj9a/nxrlPFi8\nJYXHG1W66d2vRWzlpmE7Pj6etWvXEh8fzyOPPMKYMWMICAgoytpERERKrc6dO1u+TT5x4gTe3t5M\nmzaNChUqAFf3fLu6urJnzx6aNGmCi4sLLi4u+Pv7c/DgQRISEnj++ecBaNeuHYsWLcJoNGIymfD3\n9wegTZs2bN++3a7DtqODgRfa1WT853vZnnKO1rXL2bokkXxuGrYXLlxIaGgo06ZNw8XFpShrEhER\nEcDJyYmxY8fy3XffsWDBAkvQ3r17N8uXL2fFihX8+OOPeHl5WZbx8PDAaDRiNBot0z08PEhPT8do\nNOLp6Zlv3qNHjxb42MnJyVYc2b1V3z2Psm6OvL1+D36PVQKuHkZjT2MoSEkYA5Sccdypm4btZcuW\nFWUdIiIiUoA5c+YwatQoQkNDWb9+PZs3b+b999/nww8/xM/PD09PTzIyMizzZ2Rk4OXllW96RkYG\n3t7eBc7r7e1d4OPWq1fPugO7xwaedeXNDb+Q6/0ADSv7kJycbHdj+KuSMAYoGeNISEi442ULvamN\niIiIFL21a9fywQcfAODm5obBYODbb79l+fLlLFu2jKpVqwIQGBhIQkICWVlZpKenk5KSQkBAAMHB\nwWzZsgWAuLg4mjZtiqenJ87OzqSlpWE2m9m6dSvNmjWz2RjvpX4PVcPT1YnFW1JsXYpIPoWeICki\nIiJF77HHHmP8+PH069ePnJwcJkyYwIQJE6hUqRLDhg0DoHnz5gwfPpyoqCgiIyMxm82MGDECV1dX\nIiIiGDt2LBERETg7OzN37lwApk2bxqhRo8jNzaVNmzY0btzYlsO8Z3zcnOnX0p+P4o6QcsZo63JE\nLBS2RUREiiF3d3fmz5+fb1rnzp0LnDc0NJTQ0NB809zc3FiwYMEN8wYFBREbG3vvCi1GBratyb+3\np7Lwh8O8EOhq63JEAB1GIiIiIiVEOU9X/tHSny8Sj3PsksnW5YgACtsiIiJSgrzQrhYuTg7E7L1o\n61JEAIVtERERKUHKe7nS76FqbDpi5PezGYUvIGJlCtsiIiJSogxqVxMnBwP/3HTY1qWIKGyLiIhI\nyVLBuwzdArz4/OfjpJ27YutypJRT2BYREZESp29DXxwdDCzc9KutS5FSTmFbRERESpz73J2IbOHP\nmt3HOaLrbosNKWyLiIhIiTSkY21cnRyY+90hW5cipZjCtoiIiJRI5b1ceb5NDdbvOcneY5dsXY6U\nUgrbIiIiUmI9364mvu7OvPnNQVuXIqWUwraIiIiUWN5lnBnSoTY//nqW7SlnbV2OlEIK2yIiIlKi\nRbWqRiWfMry54RfMZrOty5FSRmFbRERESrQyzo680rkOiUcv8u2BU7YuR0oZhW0REREp8XoHV6Fm\neQ/mbDhIdm6ercuRUkRhW0REREo8J0cHxnerx5EzGaz4KdXW5UgporAtIiIipULnehV4uNZ9vPv9\nr1y6km3rcqSUUNgWERGRUsFgMDDp8fpc+jOb+d/rNu5SNBS2RUREpNSo/4A3Yc2q8u8dv+s27lIk\nFLZFRESkVHn1sQBcnRx44yvd6EasT2FbRERESpUKXmUY0qk2G5NPse2wbnQj1qWwLSIiIqVO/9Y1\nqFLWjWnr9utSgGJVCtsiIiJS6pRxdmTyE/U5dMrIJ9t+t3U5UoIpbIuIiEip9Fj9inR6sALvbjzE\nH5cybV2OlFAK2yIiIlIqGQwGXgtpQE6emenrD9i6HCmhFLZFRESk1PK/z52XOtRm/Z6TbP1VJ0vK\nvaewLSIiIqXaoPY1qXafO1O+2EdWTq6ty5ESRmFbRERESrUyzo5Me7IBR85m8FHcEVuXIyWMwraI\niIiUeh3qVuDxRpVY8MNhUnRnSbmHFLZFREREgKlP1sfN2ZFxa/aQl2e2dTlSQihsi4iIFEO5ubmM\nHz+e8PBwIiIiOHToEKmpqURERBAZGcnUqVPJy7t6M5bY2Fh69epFaGgomzZtAiAzM5Nhw4YRGRnJ\nwIEDOX/+PACJiYn07duX8PBwFi5caLPxFUcVvMow6fF67Pz9AiviU21djpQQRRa2TSYTI0eOJDQ0\nlP79+/P777+TnJxMaGgoERERjB8//pYbDRGxvry8PKZMmUJYWBhRUVGkpuZ/s1m7di0hISFERkby\n2WefAZCdnc3IkSMJDw8nMjKSlJQUW5QuUuJce/+LiYnhlVdeYd68ecyaNYtXXnmFlStXYjab+f77\n7zlz5gzLli0jJiaGJUuW8M4772AymYiOjiYgIICVK1fSs2dPFi1aBMDUqVOZO3cu0dHRJCUlceCA\nLnl3vT5Nq9C2Tjlmf32Q4xf/tHU5UgIUWdiOjY3F3d2d2NhYJk2axPTp01m4cCFDhgwhOjoak8nE\n5s2bb7rREBHr27hxIyaTiVWrVjFy5Ehmz55t+d358+dZsGABy5YtY/ny5axbt45jx46xZcsWcnJy\niImJYciQIbz77rs2HIFIydG5c2emT58OwIkTJ/D29mb//v20aNECgHbt2rF9+3b27NlDkyZNcHFx\nwcvLC39/fw4ePEhCQgJt27a1zLtjxw6MRiMmkwl/f38MBgNt2rRh+/btNhtjcWQwGHjjqUbkmWHi\nf/ZiNutwErk7TkX1QIcPH6Zdu3YA1KxZk5SUFPr06cPFixcxm81kZGTg5OSUb6Ph4uJi2WgEBgYW\nVakipdb1b85BQUHs27fP8rtjx45Rt25dfH19AWjUqBFJSUk8+OCD5ObmkpeXh9FoxMmpyDYrIiWe\nk5MTY8eO5bvvvmPBggVs27YNg8EAgIeHB+np6RiNRry8vCzLeHh4YDQa802/fl5PT8988x49erTA\nx05OTrbiyKwvMzPzrsbwdJAvH+w8w6L1O+lUy6vwBazgbsdQXJSUcdypIntXrFevHps2baJz584k\nJSVx6tQp/P39mTFjBu+//z5eXl489NBDbNiwocCNRkHs/YkrKS++kjCOkjCGe+Gvb8SOjo7k5OTg\n5OREtWrVOHz4MGfPnsXDw4MdO3ZQvXp13N3dOX78ON26dePChQssXrz4puu3979xSXidaAz2Z86c\nOYwaNYrQ0FCysrIs0zMyMvD29sbT05OMjIx80728vPJNv9W83t7eBT5uvXr1rDSiopGcnHxXYwio\na2bX6R18sOsCvdo2opKP2z2s7vbc7RiKi5IwjoSEhDtetsjCdu/evUlJSSEyMpLg4GAaNGjArFmz\nWLFiBXXq1GHFihXMnj2bNm3aFLjRKIi9P3El4cUHJWMcJWEMd7MhuOavb8R5eXmWPdU+Pj6MHz+e\nYcOG4evrS4MGDShbtiyffPIJbdq0YeTIkZw8eZJnnnmGdevW4erqesP67f1vXBJeJxpD8XA7/bp2\n7VpOnTrFoEGDcHNzw2Aw0LBhQ+Lj43nooYeIi4ujZcuWBAYG8u6775KVlYXJZCIlJYWAgACCg4PZ\nsmULgYGBxMXF0bRpUzw9PXF2diYtLY2qVauydetWhg4dWgQjtj+ODgbm9m1M9wU/Mmb1Hj59rgUO\nDgZblyV2qMiO2d67dy+tWrUiOjqarl27UrVqVXx8fCx70SpUqMDly5cJDAwkISGBrKws0tPTLRsN\nEbG+4OBg4uLigKtXLLi+93Jycjhw4AArV65k/vz5HDlyhODgYLy9vS0fiH18fMjJySE3V3dgE7lb\njz32GAcOHKBfv34MGDCACRMmMGXKFN577z3CwsLIzs6mS5culC9fnqioKCIjI3nmmWcYMWIErq6u\nRERE8OuvvxIREcGqVassoXratGmMGjWKPn36UL9+fRo3bmzjkRZf1ct5MPHxevz461mW/aSrk8id\nKbI929WqVWP+/PksXrwYLy8vZs6cydGjRxkxYgROTk44Ozszffr0fBsNs9ls2WiIiPU9+uijbNu2\njfDwcMxmM2+88Qbr1q3jypUrhIWFAfDUU0/h6urKc889h5+fH88++ywTJkwgMjKS7OxsRowYgbu7\nu41HImL/3N3dmT9//g3Tly9ffsO00NBQQkND801zc3NjwYIFN8wbFBREbGzsvSu0hIts4c/GA6eY\n9XUybeqUo1Z5z8IXErlOkYVtPz8/Pvnkk3zTKlasSExMzA3zFrTREBHrc3Bw4PXXX883rVatWpb/\nDx069IavnD08PAoMBCIiJYHBYGBO70C6vBvHq6sSWT34YZwddZsSuX16tYiIiIjcQgXvMsx8qhFJ\nxy7x3ve/2rocsTMK2yIiIiKF6N6oEn2aVuG9TYfZnnLW1uWIHVHYFhEREbkNr/doQI1yHrwSk8hZ\nY1bhC4igsC0iIiJyW9xdnPhnZDAX/8xmZGwSeXm6u6QUTmFbRERE5DbVq+TN5Cfqs+XQGT768Yit\nyxE7oLAtIiIi8jf84yF/ujW8n7e++YWE1Au2LkeKOYVtERERkb/BYDAwu3cglXzLMGTFbs6k6/ht\nuTmFbREREZG/ycfNmcX/aMqFKyaGrtxNTm6erUuSYkphW0REROQONHjAh9m9GxH/23lmf33Q1uVI\nMaWwLSIiInKHnmpShWdaVeNfW3/jy6QTti5HiiGFbREREZG7MPHx+jSrVpaxq/eQfPKyrcuRYkZh\nW0REROQuuDg5sKhfMN5uTjz/6S6dMCn5KGyLiIiI3KUK3mX419PNOZeRxaBlu8jMzrV1SVJMKGyL\niIiI3AONqvjwTmgQu9MuMnbNHsxm3WFSFLZFRERE7pnujSox6rEAvkg8wcIfDtu6HCkGnGxdgIiI\niEhJMqRjbVLOZDD3u0NUK+fBk40fsHVJYkMK2yIiIiL3kMFgYFavRhy/+CcjYxMp5+HCw7XL2bos\nsREdRiIiIiJyj5VxduSjqGbUKOfBC8sS2H/ikq1LEhtR2BYRERGxAh93Zz7t3wKvMk48u3QnR89f\nsXVJYgMK2yIiIiJWUsnHjU/7tyArO5dnPv4v54y6Bndpo7AtIiIiYkUBFb1Y8mxzjl/8k6gl/+XS\nn9m2LkmKkMK2iIiIiJU1r+7HB1FN+fV0Os8u/S/GrBxblyRFRGFbREREpAh0qFuBhZHB7Dl2iec/\n3am7TJYSCtsiIiIiRaRLg/t5J7Qx8b+dZ9CyBLJyFLhLOoVtERERkSLUI6gys3s1YsuhM7zw7wTt\n4S7hFLZFREREilhYc3/m9G5E3K9nGPDpTq6YdAx3SaWwLSIiImIDYc39mdu3MTtSzvHs0p06abKE\nUtgWERERsZFewVWYH96EhNQLPL0knsuZuixgSaOwLSIiImJDIY0f4J+RTdh7/BL/+Fc85zNMti5J\n7iEnWxcgIiIiN8rOzmbChAkcP34ck8nE4MGDeeCBB5g6dSqOjo5Ur16dmTNn4uDgQGxsLDExMTg5\nOTF48GA6duxIZmYmo0eP5ty5c3h4eDBnzhz8/PxITExk5syZODo60qZNG4YOHWrroQrQtWElFv/D\ngZdW7KbP+9v5tH8LW5ck94j2bIuIiBRDX375Jb6+vqxcuZJ//etfTJ8+nYULFzJkyBCio6MxmUxs\n3ryZM2fOsGzZMmJiYliyZAnvvPMOJpOJ6OhoAgICWLlyJT179mTRokUATJ06lblz5xIdHU1SUhIH\nDhyw8UjlmkfqVWT58w9x1phFr/e3c+S8bu1eEihsi4iIFENdu3bl5ZdfBsBsNuPo6Ei9evW4ePEi\nZrOZjIwMnJyc2LNnD02aNMHFxQUvLy/8/f05ePAgCQkJtG3bFoB27dqxY8cOjEYjJpMJf39/DAYD\nbdq0Yfv27bYcpvxF8+p+rB78ME4OBkZvOMH2lLO2Lknukg4jERERKYY8PDwAMBqNDB8+nFdeeQWD\nwcDrr7/O+++/j5eXFw899BAbNmzAy8sr33JGoxGj0WiZ7uHhQXp6OkajEU9Pz3zzHj16tMDHT05O\ntuLorC8zM9OuxzDn0QpM/PYETy+JZ1SbCrSv4Vn4QsWUvT8Xd0thW0REpJg6efIkQ4YMITIykpCQ\nEFq1asWKFSuoU6cOK1asYPbs2bRp04aMjAzLMhkZGXh5eeHp6WmZnpGRgbe3d75p108vSL169aw7\nOCtLTk626zHUA+Y6GXj7p3Rmx50mp4wvQzrWxmAw2Lq0v83enwuAhISEO15Wh5GIiIgUQ2fPnqV/\n//6MHj2aPn36AODj42PZM12hQgUuX75MYGAgCQkJZGVlkZ6eTkpKCgEBAQQHB7NlyxYA4uLiaNq0\nKZ6enjg7O5OWlobZbGbr1q00a9bMZmOUW/NydeTfA1rQM+gB3v72EMNjEnW3STukPdsiIiLF0OLF\ni7l8+TKLFi2ynNw4Y8YMRowYgZOTE87OzkyfPp3y5csTFRVFZGQkZrOZESNG4OrqSkREBGPHjiUi\nIgJnZ2fmzp0LwLRp0xg1ahS5ubm0adOGxo0b23KYUogyzo7MCwsi4H4v3vrmF1LPZfDR082o6F3G\n1qXJbVLYFhERKYYmTZrEpEmTbpgeExNzw7TQ0FBCQ0PzTXNzc2PBggU3zBsUFERsbOy9K1SszmAw\n8FKH2tQu78krqxJ5cuFWPoxqRuOqvrYuTW6DDiMRERERsQOPNbifNYMfxsnBgb4f7GDVzquHA0nx\nprAtIiIiYifqVfLmy6GtaV69LGPX7GX06j38adJx3MWZwraIiIiIHbnP05V/93+I4Z1qs2b3MZ5a\ntI0jZ4y2LktuQmFbRERExM44Ohh49bG6LH22OX9czuTJhdtYv+ekrcuSAihsi4iIiNipDnUrsH54\nW2pX8GTIyt2MWZ1ERlaOrcuS6yhsi4iIiNixyr5uxA5qxUsdavFZwjG6L/iRn9Mu2Los+R+FbRER\nERE75+LkwJiuDxIzsCU5uWb6LN7Bgu9/JSc3z9allXoK2yIiIiIlxEM17+Orl9vyRGAl3vnuEH0/\n2MHh0+m2LqtUU9gWERERKUF83JyZH96E+eFB/HY2g+7zt/LPTYfJ1l5umyiysG0ymRg5ciShoaH0\n79+f33//nXPnzjF48GD69etHeHg4aWlpAMTGxtKrVy9CQ0PZtGlTUZUoUurl5eUxZcoUwsLCiIqK\nIjU1Nd/v165dS0hICJGRkXz22WeW6R988AFhYWH06tUr33QREbGdHkGV+W5EezrXr8Bb3/xCz39u\nY/+JS7Yuq9Qpstu1x8bG4u7uTmxsLEeOHGH69OmUL1+ekJAQunfvzk8//cSRI0dwc3Nj2bJlrFmz\nhqysLCIjI2ndujUuLi5FVapIqbVx40ZMJhOrVq0iMTGR2bNn8/777wNw/vx5FixYwOeff463tzfP\nPvssrVq14vjx4/z8889ER0fz559/8vHHH9t4FCIick15L1cW9WvK13tPMvmL/fRYuI1B7WsytGMd\n3FwcbV1eqVBke7YPHz5Mu3btAKhZsyYpKSns3r2bU6dO8eyzz7Ju3TpatGjBnj17aNKkCS4uLnh5\neeHv78/BgweLqkyRUi0hIYG2bdsCEBQUxL59+yy/O3bsGHXr1sXX1xcHBwcaNWpEUlISW7duJSAg\ngCFDhvDiiy/SoUMHG1UvIiI3061RJTa+2o4ngx7gn5tS6PzOFr47cMrWZZUKRbZnu169emzatInO\nnTuTlJTEqVOncHBwwNvbm08++YSFCxfy0UcfUb16dby8vCzLeXh4YDQWfFek5OTkoirfKjIztnfr\n8AAAIABJREFUM+1+DFAyxlESxnAvGI1GPD09LT87OjqSk5ODk5MT1apV4/Dhw5w9exYPDw927NhB\n9erVuXDhAidOnGDx4sUcO3aMwYMHs2HDBgwGww3rt/e/cUl4nWgMIqWXr7sL74QGEdasKpO/2MfA\nf+/ikQcrMDWkAf73udu6vBKryMJ27969SUlJITIykuDgYBo0aMDJkyfp1KkTAJ06dWLevHk0bNiQ\njIwMy3IZGRn5wvf16tWrVyS1W0tycrLdjwFKxjhKwhgSEhLueh2enp75+i8vLw8np6ubCR8fH8aP\nH8+wYcPw9fWlQYMGlC1bFl9fX2rWrImLiws1a9bE1dWV8+fPc999992wfnv/G5eE14nGUDzci34V\nuVMP1byP9cPb8sm233l34yE6z9vCi+1qMqh9LTxciywalhpFdhjJ3r17adWqFdHR0XTt2pWqVavS\ntGlTtmzZAsDOnTupXbs2gYGBJCQkkJWVRXp6OikpKQQEBBRVmSKlWnBwMHFxcQAkJibm672cnBwO\nHDjAypUrmT9/PkeOHCE4OJimTZvy448/YjabOXXqFH/++Se+vr62GoKIiNwGZ0cHBraryfcjO9Cl\nwf0s+OEwHd/ezKqdaeTmmW1dXolSZB9fqlWrxvz581m8eDFeXl7MnDmTnJwcJk2aRExMDJ6ensyd\nOxcfHx+ioqKIjIzEbDYzYsQIXF1di6pMkVLt0UcfZdu2bYSHh2M2m3njjTdYt24dV65cISwsDICn\nnnoKV1dXnnvuOfz8/OjYsSM7d+6kT58+mM1mpkyZgqOjTroREbEH9/uU4b2IJjz7cHVmrD/A2DV7\nWbrtdyY+Xo+2dcrburwSocjCtp+fH5988skN05cuXXrDtNDQUEJDQ4ugKhG5noODA6+//nq+abVq\n1bL8f+jQoQwdOvSG5caMGWP12kRExHqaVivL54MfZv3ek8zZcJCoJf+lbZ1yvPpoAE38y9q6PLum\nm9qIiIiICAaDgScCH2Djq+2Z2L0e+09c5qlF2xnwyU72Hdf1ue+UwraIiIiIWLg6OTKwXU3ixnRk\n1GMB7Pz9PE+8t5XByxM4dEq3fv+7dMqpiIiIiNzA09WJoZ3qENWqOku2/sbHW39jw/4/6N6wEi+2\nr0WjKj62LtEuKGyLiIiIyE35uDnz6qMBPPdwdT768QjLdqSyfu9J2tQux4vta9G69n0F3ltBrtJh\nJCIiIiJSqLIeLozp+iDbxndiXLcH+eVUOv9YEs+TC7exfs9JXTLwJrRnW0RERERum3cZZ15sX4tn\nH67Of34+zodxRxiycjeVfd2IalWNsGZVKevhYusyiw3t2RYRERGRv62MsyMRLfzZ+Gp7Fv8jmKp+\nbsz++iAtZ33P2NV7OHDisq1LLBa0Z1tERERE7pijg4GuDSvRtWElDv5xmU+3p/Kfn4+xatdRWlT3\no30VR2rUzqWMc+m84Zn2bIuIiIjIPfHg/d7M6tWI+PGdmdi9Hn9czuStrWdoPnMjk9buLZXX69ae\nbRERERG5p3zcnRnYriYD2tQgdvPP/HTaQOyuYyz/KY36lbwJa16VJwIrcZ+nq61LtTqFbRERERGx\nCgcHA40ruRHeqR7TrmTzRdJxVu08ytQv9/P6/x2gbZ1y9Ah6gEfr34+na8mMpSVzVCIiIiJSrPi4\nO/N0q+o83ao6B05c5sukE6xLOsGIVUmUcd5L53oV6RFUmXYB5XB1KjnHdytsi4iIiEiRqv+AN/Uf\n8GZMl7okpF3gy8QTrN97kv/bcxLvMk48Uq8ij9WvSPu65XF3se+4at/Vi4iIlFDZ2dlMmDCB48eP\nYzKZGDx4MEFBQUyaNInLly+Tm5vLm2++ib+/P7GxscTExODk5MTgwYPp2LEjmZmZjB49mnPnzuHh\n4cGcOXPw8/MjMTGRmTNn4ujoSJs2bRg6dKithyqlmIODgebV/Whe3Y8pIfXZdvgs/7fnJN8nn+I/\nPx/H1cmBtnXK8ViD++lcryJ+dnj9boVtERGRYujLL7/E19eXt956i4sXL9KzZ09atmxJSEgI3bt3\n56effuLIkSO4ubmxbNky1qxZQ1ZWFpGRkbRu3Zro6GgCAgIYNmwY69evZ9GiRUyaNImpU6fy3nvv\nUbVqVV544QUOHDhA/fr1bT1cEZwdHehQtwId6lYgJzePnb9f4NsDf/Dt/lNsTD6NgwGaVfejQ93y\ntA8oT/1K3nZxm3iFbRERkWKoa9eudOnSBQCz2YyjoyO7d++mbt26PPvss1SuXJmJEyeyY8cOmjRp\ngouLCy4uLvj7+3Pw4EESEhJ4/vnnAWjXrh2LFi3CaDRiMpnw9/cHoE2bNmzfvr3AsJ2cnFx0g7WC\nzMxMjaGYuNNx+AKhtR3oW+t+Us6b2J6WQfwxI29uOM+bG36hrJsjzR5wo2lld4IfcMPLtXge562w\nLSIiUgx5eHgAYDQaGT58OK+88grjxo3D29ubTz75hIULF/LRRx9RvXp1vLy88i1nNBoxGo2W6R4e\nHqSnp2M0GvH09Mw379GjRwt8/Hr16llxdNaXnJysMRQT92Ic9YGQ//3/9OVM4n49y+ZfTvPjr2f5\nLsWIgwECq/jSqtZ9tKx5H82qlcXjHl7dJCEh4Y6XVdgWEREppk6ePMmQIUOIjIwkJCSE2bNn06lT\nJwA6derEvHnzaNiwIRkZGZZlMjIy8PLywtPT0zI9IyMDb2/vfNOuny5iTyp4l6FP0yr0aVqF3Dwz\nSccusvmXM2w7fJaP4o7w/uYUnBwMBFbxoWXN+2hV6z6aVitrsxMtFbZFRESKobNnz9K/f3+mTJlC\nq1atAGjatClbtmyhZ8+e7Ny5k9q1axMYGMi7775LVlYWJpOJlJQUAgICCA4OZsuWLQQGBhIXF0fT\npk3x9PTE2dmZtLQ0qlatytatW3WCpNg1RwcDwf5lCfYvy6uPBnDFlMOu3y/w05Fz7Dhyjg/ijrBo\ncwrOjgYaVvaxzBtczZdKPm5FUqPCtoiISDG0ePFiLl++zKJFi1i0aBEAs2fPZtKkScTExODp6cnc\nuXPx8fEhKiqKyMhIzGYzI0aMwNXVlYiICMaOHUtERATOzs7MnTsXgGnTpjFq1Chyc3Np06YNjRs3\ntuUwRe4pdxcn2gWUp11AeQAysnLYlXqBHSnn2PX7eZb9lMqSrb8BUMmnDMH+ZWni70twtbI0eMDb\nKtf3VtgWEREphiZNmsSkSZNumL506dIbpoWGhhIaGppvmpubGwsWLLhh3qCgIGJjY+9doSLFmIer\nE+0Drl69BMCUk8eBk5fZnXqB3WkX+DntIuv3ngTAycFAQEUvGlX2oWEVHxpV9uHB+70o43x3AVxh\nW0RERERKBRcnB4Kq+hJU1Zf+1ADg1OVMdqdeYM/xS+w7folvD/zBql1XTxx2cjBQp6IXM9q43/Fj\nKmyLiIiISKlV0bsM3RpVolujSsDVS20ev/gn+45fYt/xyxw6lX5X61fYFhERERH5H4PBQJWy7lQp\n607XhlcD+N1c+s/hXhUmIiIiIiL5KWyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiIiIiIlShs\ni4iIiIhYicK2iIiIiIiVKGyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiIiIiIlRjMZrPZ1kXc\nibu5R71ISdW0aVNbl3BT6lmR/NSvIvblTnvWbsO2iIiIiEhxp8NIRERERESsRGFbRERERMRKFLZF\nRERERKzEydYF/F15eXm89tpr/PLLL7i4uDBjxgyqVatm67Juy1NPPYWnpycAVapU4cUXX2TcuHEY\nDAbq1KnD1KlTcXAonp9/kpKSePvtt1m2bBmpqakF1h0bG0tMTAxOTk4MHjyYjh072rrsG1w/jgMH\nDjBo0CCqV68OQEREBN27dy+248jOzmbChAkcP34ck8nE4MGDqV27drF+Luy5X0E9a2vq16KlfrUd\n9avtWbVnzXbmm2++MY8dO9ZsNpvNP//8s/nFF1+0cUW3JzMz09yjR4980wYNGmT+6aefzGaz2Tx5\n8mTzt99+a4vSCvXhhx+an3jiCXPfvn3NZnPBdZ8+fdr8xBNPmLOyssyXL1+2/L84+es4YmNjzUuW\nLMk3T3Eex+rVq80zZswwm81m84ULF8zt27cv9s+Fvfar2ayetTX1a9FTv9qG+rV4sGbPFs+PeLeQ\nkJBA27ZtAQgKCmLfvn02ruj2HDx4kD///JP+/fvz9NNPk5iYyP79+2nRogUA7dq1Y/v27TausmD+\n/v689957lp8LqnvPnj00adIEFxcXvLy88Pf35+DBg7YquUB/Hce+ffvYvHkz/fr1Y8KECRiNxmI9\njq5du/Lyyy8DYDabcXR0LPbPhb32K6hnbU39WvTUr7ahfi0erNmzdhe2jUaj5WsiAEdHR3JycmxY\n0e0pU6YMAwYMYMmSJUybNo1Ro0ZhNpsxGAwAeHh4kJ6ebuMqC9alSxecnP7/EUcF1W00GvHy8rLM\n4+HhgdFoLPJab+Wv4wgMDGTMmDGsWLGCqlWr8s9//rNYj8PDwwNPT0+MRiPDhw/nlVdeKfbPhb32\nK6hnbU39WvTUr7ahfi0erNmzdhe2PT09ycjIsPycl5eX7wkurmrUqMGTTz6JwWCgRo0a+Pr6cu7c\nOcvvMzIy8Pb2tmGFt+/6Y96u1f3X5yUjIyPfi7E4evTRR2nYsKHl/wcOHCj24zh58iRPP/00PXr0\nICQkpNg/F/bar6CeLW7Ur9anfi0eivvr5HbYY7+C9XrW7sJ2cHAwcXFxACQmJhIQEGDjim7P6tWr\nmT17NgCnTp3CaDTSunVr4uPjAYiLi6NZs2a2LPG21a9f/4a6AwMDSUhIICsri/T0dFJSUor9czNg\nwAD27NkDwI4dO2jQoEGxHsfZs2fp378/o0ePpk+fPkDxfy7stV9BPVvcqF+tT/1aPBT318ntsLd+\nBev2rN3dQfLa2dKHDh3CbDbzxhtvUKtWLVuXVSiTycT48eM5ceIEBoOBUaNGUbZsWSZPnkx2djY1\na9ZkxowZODo62rrUAh07doxXX32V2NhYfvvttwLrjo2NZdWqVZjNZgYNGkSXLl1sXfYNrh/H/v37\nmT59Os7OzpQrV47p06fj6elZbMcxY8YMvv76a2rWrGmZNnHiRGbMmFFsnwt77VdQzxYH6teipX61\nHfWr7VmzZ+0ubIuIiIiI2Au7O4xERERERMReKGyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiI\niIiIlShsi4iIiIhYicK2iIiIiIiVKGyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiIiIiIlShs\ni4iIiIhYicK2iIiIiIiVKGyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiIiIiIlShsi4iIiIhY\nicK2iIiIiIiVKGyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiIiIiIlShsi4iIiIhYicK2iIiI\niIiVKGyLiIiIiFiJwraIiIiIiJUobIuIiIiIWInCtoiIiIiIlShsi4iIiIhYicK2iIiIiIiVKGyL\niIiIiFiJwraIiIiIiJUobAvR0dE8+eSTdO/enccff5zRo0dz4sSJQpebNGkS+/btu+PHTU9P5+mn\nn77j5UVs4U77BeyrZ7766it69OiRb1p4eDht27bFbDZbpr3wwgusWLHib627U6dO7N27957UKXJN\nbm4uS5cupVevXvTo0YPu3bvz1ltvYTKZ7nid33//PTNmzABg8+bNzJ8/v9BloqKi2LBhw01///XX\nX9O3b1+6du1KSEgIQ4YM4ZdffrmtehYuXMjGjRtvr/ib6N+/P+fPn79henx8PIGBgfTo0cPyr3Pn\nzrz44otcuHCh0PVev32bOHEi27dvv6s6SxKF7VJuzpw5fPvtt3zwwQd89dVXrFu3jtatWxMWFsYf\nf/xxy2W3b9+e703377p06ZLecMWu3E2/gH31TOvWrUlJSeHixYsAnD9/ntOnT3PfffdZasjOzmbn\nzp106NChSGoSuZXXXnuNn3/+mU8//ZQvvviC1atX89tvvzFx4sQ7XucjjzzCpEmTANi7dy+XLl26\nqxqXL1/Ohx9+yKxZs9iwYQPr1q0jNDSU/v37k5ycXOjy8fHx5OTk3FUN27Ztu+nv/P39+eKLLyz/\nvvnmGxwcHPj4448LXe/127eZM2fy8MMP31WdJYnCdin2xx9/EBMTw7vvvkulSpUAcHBwoGfPnnTp\n0oUPPvjghj1Q136eN28ep0+fZtSoUSQlJREVFcVrr71Gnz59eOSRR1iwYAEAx44do0mTJpblr/95\n/PjxZGZm0qNHD3Jzc4tw5CJ/3+30C9y417aoembcuHGMHz+e0NBQOnfuzNSpU8nOzgYgJSWF/v37\nW/b4rV69Grj6xv3kk08SHh7Ok08+mW8PoI+PDw0bNmTXrl3A1b16rVu3pkOHDvzwww8A7Nmzh8qV\nK1O5cmWys7OZPn063bt3JyQkhIkTJ2I0Gi1/g1deeYVu3brx3XffWR4jIyODfv368dZbbwFw6tQp\nhgwZQq9evQgJCWHx4sWWv0H79u3p378/Xbp04fTp03f+REqJdPToUdatW8cbb7yBl5cXAO7u7kyb\nNo1HH30UgN9++43nnnuOsLAwOnbsyODBg8nKygKgfv36zJkzh169etG1a1e+/fZbAD7//HMGDRpE\nUlISMTExfPXVV8ybN48rV64wZswYQkND6dKlC7169eLIkSO3rNFkMjFv3jzefvttateubZnevn17\nBg4cyLx584Ab94xf+3nFihXs27ePN998k+++++6WPV+3bt18e6+v/Tx+/HgAnnnmGU6ePFno39Vo\nNHL+/Hl8fHwASExMpF+/fvTt25cOHTowYcIEgAK3b9fGsHHjRnr27ElISAgRERHs2bOn0MctaRS2\nS7GkpCRq1qxpaaLrPfzwwyQkJNx02REjRlChQgXefvttGjduDMCJEyeIjo7mP//5D1999RWbNm26\n5ePPmjWLMmXK8MUXX+Do6Hh3gxGxsrvpFyianjl48CBLly7lq6++IiUlhVWrVpGTk8Pw4cMZOXIk\nn3/+OcuXL+fjjz8mMTERgF9//ZW5c+fy5Zdf4uLikm997dq1Iz4+HoBNmzbRoUOHfGF7x44dtG/f\nHoD333+f06dPW/aI5eXl8eabb1rWVadOHb7++mtL8DEajQwYMID27dszevRoAEaPHk3v3r35/PPP\nWb16Ndu3b+err74Crn7Yeemll/jmm2+oUKHCLf9OUvocOHCA2rVr4+npmW96+fLleeyxxwCIjY2l\nZ8+erFq1im+//ZZjx46xefNm4OohKD4+Pnz++ee8++67TJgwIV9Ybdy4MeHh4XTv3p0RI0YQFxeH\nt7c3sbGxfPPNNzRs2LDQw6kOHTqEs7MztWrVuuF3rVq1KnQb0q9fPxo2bMiYMWMsfVRQz9/KrFmz\nAPj0008tOw2ul5aWRo8ePXjiiSdo1aoVzz77LJ06deKZZ54B4N///jfDhw/ns88+Y/369fzwww/s\n27evwO0bXP2gP3XqVN577z3WrVvH8OHDeemllywfxEsLJ1sXILZ1s6+jTCYTBoPhb60rLCwMZ2dn\nnJ2d6dq1K1u3bqVOnTr3okyRYuFe9gvc+5556qmn8PDwAKBHjx58//33tGzZkrS0NMseKIDMzEwO\nHDhArVq1qFSpEpUrVy5wfe3atWPixImYTCZ27drFm2++iaurK2fPnuXs2bPEx8czfPhwAOLi4hgx\nYgTOzs7A1b1xQ4YMsayrWbNm+dY9evRonJycLMegX7lyhZ07d3Lp0iXLcbFXrlzh4MGDBAYG4uTk\nRFBQ0B3/baRkc3BwIC8v75bzjB49mm3btvHRRx/x+++/c/r0aa5cuWL5/T/+8Q8AHnzwQQICAti5\nc+dN19W1a1eqVq3KsmXLSE1N5b///W++b6Ru5l5vQwrq+WvjuBPXDiMBWLNmDfPmzeORRx6x9PXs\n2bOJi4tj8eLFHDlyhMzMzHx/w7/66aefaNmyJVWrVgWufqjw8/Nj3759tGzZ8o7rtDcK26VYUFAQ\nqampnDlzhvLly+f7XXx8PE2aNCEuLi7fMaa3OtHEyen/v5zMZjMODg4YDIZ8y1/7ikvE3txOv1xj\nq565fm/3tfXl5ubi7e1teQMFOHv2LF5eXiQmJuLu7n7T9TVo0IBz586xceNGGjZsiJubGwBt27Zl\n27ZtHDlyxDLuvwadvLy8fLX/9XEGDx5MfHw8b731FpMnTyYvLw+z2UxMTIzlcc6fP4+rqysXLlzA\nxcUl399L5HqBgYEcOXIEo9GYb+/2qVOnmDx5MgsWLGDcuHHk5ubSrVs3OnTowMmTJ/P12vX9k5eX\nd8tvXFeuXElsbCz9+vUjJCQEX19fjh07lm+e6OhoYmJiAGjYsCFTpkwBIDk5mXr16uWb91bbkFtt\nAwrq+b+60xNEe/fuTVJSEq+++ipr1qzBycmJfv368eCDD9K2bVu6detGUlLSLc9DKeh3ZrP5ro87\ntzc6jKQUq1ixIlFRUbz66qucOnXKMn3NmjV8++23DBw40PIJFK4eq3XmzBnLfI6Ojvka5ssvvyQv\nL49Lly7x9ddf06lTJ7y9vcnOzubw4cMA+Y7XdHJyIjc3965OGBMpKrfTL4BNe+brr7/GZDKRlZXF\nf/7zHzp27EiNGjVwdXW1hO2TJ0/yxBNP3NZVUQwGA61bt2bx4sX5ToLs0KEDH3/8MS1atLAE4LZt\n2xITE0N2djZ5eXmsWLGC1q1b33TdgYGBvPbaa2zYsIGtW7fi6elJUFAQS5cuBeDy5ctERETw/fff\nF1qnSMWKFQkJCWHChAmWQxSMRiOvvfYavr6+lClThq1btzJkyBC6d++OwWAgKSkp37kPa9euBWD/\n/v389ttvNG/ePN9jXN+/W7du5amnnqJv377UqFGDH3744YbzKCIiIiyHVc2cORNXV1dGjRrFmDFj\nSElJscy3efNmlixZwssvvwzk34akpaXlu1LJX7chBfX8tXVcO3fk+m1IQeu4lZEjR3L69GmWL1/O\npUuX2LdvH6NGjeKxxx7j1KlTpKWlWT5oF7Teli1bsm3bNo4ePQpcPfTs5MmT+Q41KQ20m6CUGzly\nJJ999hmDBw/GZDJhMplo1KgRMTExVK5cmVGjRvHaa6+xatUqGjRoQIMGDSzLdu7cmREjRlgui5SZ\nmUmfPn3IyMggMjKSVq1aAVe/ursW3Lt27WpZvnz58tSvX59u3boRHR1N2bJli3bwIn9TYf0C2LRn\nypQpQ2RkJJcvX6ZLly707t0bBwcHFi1axMyZM/nXv/5FTk4OL7/8Mk2bNrUcj30r7dq1Y+3atZY3\ncYA2bdowevRonnvuOcu0wYMHM2fOHHr27ElOTg6BgYFMnjz5luv28/Nj6tSpTJgwgXXr1vH2228z\nffp0QkJCMJlMPPHEEzz55JM37DEUKcjUqVNZtGgR4eHhODo6YjKZ6Ny5M8OGDQOunjcxZMgQfHx8\ncHNzo3nz5qSlpVmW3717N7GxseTl5TFv3rwbzs9o1aoVw4YNw9nZmf79+zNlyhQ+//xzHB0dadCg\nAYcOHSq0xvDwcMqVK8ekSZO4fPkyOTk51KhRg48//tiyt3vw4MGMGzeOLVu2ULNmzXyHYHXs2JE5\nc+ZY9nYX1PNw9TJ8r7/+Ot7e3jz88MP5vo179NFHiYyMZNGiRQQEBNyyXh8fH0aNGsWsWbN44okn\neOGFF3jqqafw9fWlbNmyBAcHk5qaSqtWrW7YvgHUrl2bqVOnMnToUHJzcylTpgyLFy+2nMRaWhjM\n2q0o90BUVBT9+vXLFwxE5Obudc+MGzeOOnXqMGDAgHuyPpHSpG7duuzYsQM/Pz9bl3Lb1PP2Q4eR\niIiIiIhYifZsi4iIiIhYifZsi4iIiIhYicK2iIiIiIiVKGyLiIiIiFiJ3V76r7DbmoqURk2bNrV1\nCTelnhXJT/0qYl/utGftNmxD8d5Q3Y6C7iJlj0rCOErCGOzhzVE9a3saQ/GgfrW+kvA6KQljgJIx\njrvpWR1GIiIiIiJiJQrbIiIiIiJWorAtIiIiImIlCtsiIiIiIlaisC0iIiIiYiUK2yIiIiIiVqKw\nLSIiIiJiJQrbIiIiIiJWorAtIiIiImIlCtsiIiIiIlaisC0iIiIiYiV2HbavmHJsXYKIiIiIyE3Z\nddj+Oe2irUsQEREpkcxms61LECkR7Dps7/z9vK1LEBERKZFSzmTYugSREkFhW0SKzMUrJluXICK3\nSe+xIveGXYftn9Mukp2bZ+syROQ2JaResHUJInKbFLZF7g27DttXTLkcOHHZ1mWIyG36r968ReyG\nwrbIvWHXYRu0MRCxJzt/U7+K2Iuj5//kj0uZti5DxO7Zddj293NX2BaxI3uPXyIzO9fWZYjIbdJ7\nrMjds+uw3by6H7t+v6DLE4nYiexcM4lHdclOEXvg7uKosC1yD9h52C7LuQwTR87q8kQi9mKX3rxF\n7EKwf1l2/q6TmkXuln2H7Rp+gI4DFbEXdSt68V+9eYvYhebV/Tj4x2Uu/Zlt61JE7Jpdh+2a5Ty4\nz8NFn7xF7ETzGmXZnXqB3Dwd+iVS3DWvXhazGXan6T1W5G7Yddg2GAw0q15Wx5SJ2Inm1f0wZuWQ\nfFKX7BQp7oL8fXFyMOjbY5G7ZNdhG66+eaedv8Kpy7o8kUhx17z6/w790gdkkWLP3cWJBpV91K8i\nd6lEhG3Qm7eIPXjA143Kvm7s0qFfInahRfWyJB3VJTtF7obdh+0GD3hfvTyRvuYSsQvNq5flv7+f\n1yU7RexA8+p+mHLz2Hv8kq1LEbFbdh+2nRwdaOLvqysciNiJZtX9OJOeReq5K7YuRUQK0ex/3x7/\nVzu0RO6Y3YdtgIdq3MfBPy5z8YrJ1qWISCFa1rz65h3/2zkbVyIihfHzcCGgoifx/48pB9Q/AAAg\nAElEQVS9O4+Lqvr/B/66M8MMMAwgu7IvjqKIAi4Y7mZaabmiUFppln7MSs2sj9ryK1Prq5WZqS1W\nmCJqWm5U7vuGCy6ggjsqIKCsM2zz+8PkkwWMKcO9M7yej8fn8fg4wJ3XnebMec+5557DYpvogVlE\nsR0Z4AyDgd+8icxBoKsdXOyU2H+e7ZXIHEQGOOPwxVyUVVSKHYXILFlEsd3a2wEqhQz7znOkjEjq\nBEFAhwBn7EvP4bxtIjMQGeCM4tIKztsmekAWUWyrFHK09WvEkTIiM9ExwBk38nWct01kBjr8uVvz\nvnQOaBE9CIsotgEgkvO2icxGZIAzAGA/r0YRSZ6znQrN3DVsr0QPyHKK7cA787Y5uk0kfYGuarhq\nVJz6RWQmIgOccPhiHudtEz0Aiym2W3s5wtpKxm/eRGZAEAREBjhj/3nO2yYyBx0DnVFSVoHkq7fE\njkJkdhSmOvCiRYuwdetWlJWVISYmBiEhIfjggw8gl8uhVCoxe/ZsuLi4ICEhAfHx8VAoFBg7diy6\nd+8OnU6HyZMnIycnB2q1GrNnz4aTk1Otz6dUyNDW14nFNpEJ/L09DxkypOpn69evxw8//AC5XA6t\nVov33nsPMpnx7/GRAU5Yd/waLtwsQoCrnSnjEzU4dd1m2/vfnfqViwjf2vtjIrqXSUa2Dxw4gKNH\nj2L58uWIi4vDjRs3MGPGDEyfPh1xcXHo1asXvv76a2RnZyMuLg7x8fH49ttvMXfuXJSWlmL58uXQ\narVYtmwZ+vfvjwULFtzX80YGOCH1RgFyizhvm6iuVNee79LpdPjss8/w448/Ij4+HoWFhdi2bdt9\nHfd/87Y59YuoLpmizTqplWjuwXnbRA/CJMX27t27odVqMW7cOIwZMwbdunXD3LlzERwcDACoqKiA\nSqVCcnIywsLCoFQqodFo4OPjg9TUVCQlJaFz584AgC5dumDfvn339bwdA+903ge5WQZRnamuPd+l\nVCoRHx8PGxsbAEB5eTlUKtV9HTfARQ03jYqdN1EdM1WbvbPedh5Kyzlvm+jfMMk0kry8PFy7dg0L\nFy7E1atXMXbsWCQmJgIAjhw5gqVLl+Knn37Crl27oNFoqv5OrVajsLAQhYWFVY+r1WoUFBRU+zwp\nKSn3/NuqwgCVQsCGw2nwlUt/XplOp/vHOZgjSzgPSzgHU6mpPQuCAJlMBhcXFwBAXFwciouLERUV\nVeOx/v4at3BRYNfZTJw+fRqCIJj0POqCJbxPeA6Wr67a7N9fYy9lCUrKKvDrnuNo6WZt8vN4WJbw\nPrGEcwAs5zwelEmKbUdHRwQEBECpVCIgIAAqlQq5ubk4cOAAvvrqKyxevBhOTk6ws7NDUVFR1d8V\nFRVBo9Hc83hRURHs7e2rfZ67I+V/1d6/AGfz9NX+TGpSUlLMIqcxlnAelnAOSUlJJjluTe3Z2fnO\nlaTKykp88sknuHDhAr744otai+a/v8a9C9TY/vMJqFx9EGgG87Yt4X3Cc5AGU7VXoO7a7N9f48a+\npZix4w/cqLDD4OCmJstfVyzhfWIJ5wBYxnk8TJs1yTSSiIgI7Nq1CwaDAZmZmSgpKcHOnTuxdOlS\nxMXFwdvbGwAQGhqKpKQk6PV6FBQUID09HVqtFuHh4dixYwcAYOfOnYiIiLjv544McMaZzALkFOpN\ncWpEDU517dnR0bHq5++88w70ej0WLFhQdWn6ft2dt83NMojqjqnarKOtEs097LlkJ9G/ZJKR7e7d\nu+PQoUMYPHgwDAYD3nnnHUyaNAmNGzfG+PHjAQDt2rXDq6++iuHDhyM2NhYGgwETJkyASqVCTEwM\npkyZgpiYGFhZWWHOnDn3/dx3O+8DF3LxRKvGpjg9ogaluva8ceNGFBcXIyQkBKtWrULbtm3x3HPP\nAQBGjBiBXr163dex/Zxt4W5/Z972s5G+pjwNogbDlG02MsAJyw9ehr68AiqF3JSnQWQxTLb035tv\nvnnPvw8ePFjt70VHRyM6Ovqex2xsbDBv3rwHet5QLwfYKuXYfz6HxTZRHfl7e/6r1NTUBz6uIAjo\nGOCM3Wl31ts2h3nbRObAVG22Y4Azluy5iOSrt9HOj0sAEt0Pi9nU5i4ruQxt/Zywl5elicxCZIAz\nbhbqkZZVKHYUIjKig78zBAHYm8Y+luh+WVyxDQBRgc5IyypEZr5O7ChEZERU0J2VEXan3RQ5CREZ\n42BrhZAmDtjD9kp03yyy2O7U9M/O+xw/DIikztvJFr7Otuy8icxEp6YuOHI5D0X6crGjEJkFiyy2\ngz3s4aRWsvMmMhNRQS7Yfz4XZRXcLINI6joFuaC80oCDF7j7K9H9sMhiWyYT8EigM3an3YTBYBA7\nDhEZ0SnIBYX6chy/Iv3NqIgaugjfRlApZNjFq8dE98Uii20A6NzUBVkFepzjTVdEkvdI4J2brjhv\nm0j6rK3kaO/vxKvHRPfJYovtqpuu+M2bSPIcbZVo5enA9kpkJqKCXHAmswBZXIiAyCiLLba9GtnC\n30XNkTIiM9EpyAVHr9xCga5M7ChEZESnPwe09qSzjyUyxmKLbQCICnLG/vM5vOmKyAx0CnJBBW+6\nIjILLRrbo5GtFXaf43rbRMZYdLHdKcgFxaUVOMabrogkL5w3XRGZDZlMwCNBLtidls2FCIiMsOhi\nu2OAC2QC2HkTmQHedEVkXjoHuSAzX4/0bC5EQFQbiy62HWyt0MrLkZ03kZnoFOSCc1mFuHGbN10R\nSd3dhQg4oEVUO4sutoE737yP8aYrIrNwd/dXfkEmkj5vJ1v4cfdXIqMsvtiO+vOmq/3nedMVkdTd\n3f2VqwgRmQfu/kpknMUX2+G+jrCxkvObN5EZ4O6vROaFu78SGWfxxbZKceemq53nssWOQkT3oXNT\nF2QX6HEms0DsKERkxCOBdxYi2Ml520Q1svhiGwC6al1xPrsIV3KLxY5CREZ00boCALaf4RdkIqlz\nsLVCG29H7DiTJXYUIslqEMV2t2Z/dt5n2XkTSV1jBxs099BgB4ttIrPQrZkbkjNuI6dQL3YUIklq\nEMW2v4sa3k42/OZNZCa6NnPF4Uu5KNSXix2FiIzoqnWFwcAlAIlq0iCKbUEQ0E3rhr3pOdCXV4gd\nh4iM6Kp1RVmFgTc2E5mBVp4OcFYrsZ0DWkTVahDFNnBnKklxaQUOXcgTOwoRGdHW1wlqpRw7OPWL\nSPJkMgFdtK7Yee4mKiu5ihDR3zWYYrtjoDOUchl2nOU3byKpUypkiApywY4z2VwCkMgMdNW6Ireo\nFCcybosdhUhyGkyxbatUoL2/E1c4IDITXZu5IuNWCdKzC8WOQkRGdNG6QhDAq1FE1WgwxTZwZyrJ\nuaxCZNwqETsKERnRrZkbAC4BSGQOnNRKhHo5ct42UTUaVLHd9c/1e7mkGJH0eTraoKmbHYttIjPR\nVeuKY1du4VZxqdhRiCSlQRXbQW528HS04TdvIjPRrZkrDl7IRXEplwAkkrpuzVxRySUAif6hQRXb\ngiCgazNX7Em7idLySrHjEJERXbVuKK2oxL70HLGjEJERrb0c4WhrxatRRH/ToIpt4M5lrqLSCiRd\n4hKARFLXzr8RbLkEIJFZkMsEdG7qih1ns7kEINFfNLhiOyrIBQqZgO1cApBI8lQKOR4JdMZ2LgFI\nZBa6aV1xs1CP09fzxY5CJBkNrti2UynQzs8J21JZbBOZg67N3HA5txjp2UViRyEiI+4uAcg+luh/\nGlyxDQA9g91wNrMQV3KLxY5CREb0bH5nCcAtKZkiJyEiY1w1KrT2csRmFttEVRpksf1osDsAYDM7\nbyLJa+JogxaN7dleiczEo8FuOH7lFrLydWJHIZKEBlls+7moEeRmx86byEw8GuyGpEt5yCvi+r1E\nUtfzzwGtrRzdJgLQQItt4M5UkgPnc5GvKxM7ChEZ0TPYHZUGYBvXyCeSvOYeGng62mBzCtsrEdCA\ni+1Hg91RXmnATi4pRiR5rTwd4KZRYQs7byLJEwQBjwa7YXdaNnRlFWLHIRKdyYrtRYsWYejQoRg4\ncCBWrlyJS5cuISYmBrGxsXj33XdRWXlnU5mEhAQMHDgQ0dHR2LZtGwBAp9Nh/PjxiI2NxejRo5Gb\nm1vn+cJ9GqGRrRU7b6L78Pf2/Fdbt27FoEGDMHToUCQkJJjk+WUyAT2D3bDjbDY3pCK6D2K32Z7B\n7tCVVWJPGneTJDJJsX3gwAEcPXoUy5cvR1xcHG7cuIGZM2fi9ddfx7Jly2AwGLBlyxZkZ2cjLi4O\n8fHx+PbbbzF37lyUlpZi+fLl0Gq1WLZsGfr3748FCxbUeUa5TED35m7YdiYL5RXsvIlqUl17vqus\nrAwzZ87Ed999h7i4OKxYsQI3b5qmc+3Z3B2F+nIcuMDdJIlqI4U22yHACWqlnFNJiGCiYnv37t3Q\narUYN24cxowZg27duuHUqVNo3749AKBLly7Yu3cvkpOTERYWBqVSCY1GAx8fH6SmpiIpKQmdO3eu\n+t19+/aZIiYeDXbHreIyHLl8yyTHJ7IE1bXnu9LT0+Hj4wMHBwcolUpERETg0KFDJskRFeQClULG\nq1FERkihzaoUcnTRumJraiY3pKIGT2GKg+bl5eHatWtYuHAhrl69irFjx8JgMEAQBACAWq1GQUEB\nCgsLodFoqv5OrVajsLDwnsfv/m51UlJSHiqnW2UlFDJgxe7T0OicH+pYD0Kn0z30OUiBJZyHJZyD\nqVTXnhMTEyEIQo1tuCYP+xq39rDGpuSriA4Sqj5P6pMlvE94Dpavrtrsw77GwQ4V2JSvx7o9x9HU\nWfVQx3oQlvA+sYRzACznPB6USYptR0dHBAQEQKlUIiAgACqV6p7LWEVFRbC3t4ednR2KiorueVyj\n0dzz+N3frU5wcPBDZ+14uBBHs0rq5Fj/VkpKiijPW9cs4Tws4RySkpJMctzq2nNubi6cnZ1rbMM1\nedjXuH++Gv9dcwJyJ28086j5eUzFEt4nPAdpMFV7BequzT7sa+zmrcenezcjvcQWTwVrH+pYD8IS\n3ieWcA6AZZzHw7RZk0wjiYiIwK5du2AwGJCZmYmSkhJ07NgRBw4cAADs3LkTbdu2RWhoKJKSkqDX\n61FQUID09HRotVqEh4djx44dVb8bERFhipgA7kwlOZ9dhAs3uRU0UXWqa8+Ojo4AgMDAQFy6dAm3\nbt1CaWkpDh8+jLCwMJNl6Rl8ZzdJrpFPVDOptFlnOxUifBqxvVKDZ5KR7e7du+PQoUMYPHgwDAYD\n3nnnHXh5eWH69OmYO3cuAgIC0Lt3b8jlcgwfPhyxsbEwGAyYMGECVCoVYmJiMGXKFMTExMDKygpz\n5swxRUwAdzrvd389hS0pmXixc4DJnofIXFXXnjdu3Iji4mIMHToUb731FkaNGgWDwYBBgwbB3d3d\nZFnc7a0R6uWAzSmZGNc9yGTPQ2TOpNRmewa7Y3ZiKq7fLkFjBxuTPQ+RlJmk2AaAN9988x+PLV26\n9B+PRUdHIzo6+p7HbGxsMG/ePFNFu4dXI1s099Dg91MstolqUl17vqtHjx7o0aNHvWV5NNgdn24+\ni6x8HdzsrevteYnMiVTabK8WbpidmIo/TmdiREe/enlOIqlpsJva/FXvlh44dCkX2QV6saMQkRG9\nW3rAYAB+P81L00RSF+hqhwBXNX47dcP4LxNZKBbbAPqE3Om8Oa+MSPq07nbwd2HnTWQOBEHA4yEe\n2H8+F3lFpWLHIRIFi20AzT008HW2ReJJdt5EUicIAnq39MC+9BzcKmbnTSR1fVo2RkWlgQNa1GCx\n2MadzrtPSw/sTb+J2yVlYschIiP6hHigvNLADW6IzECIpz08HW14NYoaLBbbf+od4oGyCgO2pbLz\nJpK6UE8HNHawRiI7byLJu3s1aue5myjUl4sdh6jesdj+UxsvR7jbq7Dp5HWxoxCRETLZn5332WwU\nsfMmkrw+IR4oLa/E9jMc0KKGh8X2n+523jvOZqO4lJ03kdT1bukBfXkldpzNFjsKERkR4dsILnZK\n3htFDRKL7b/o09IDurJK7GTnTSR57fwawUnNzpvIHMhlAnq18MC21CzoyirEjkNUr1hs/0V7fyc4\n2lqx8yYyAwq5DL2C3bE1NQv6cnbeRFLXJ8QDRaUV2JN2U+woRPWKxfZf3O28t6RkobS8Uuw4RGRE\nnxAPFOrLsTctR+woRGRExwBnaKwVHNCiBofF9t/0CfFAgb4ce9P5zZtI6h4Jcoadip03kTlQKmR4\nNNgdf6RkoryCA1rUcLDY/puoIBeolXJsOsHOm0jqVAo5ejR3w++nb7DzJjIDvVt64FZxGfafzxU7\nClG9YbH9N9ZWcjzawh2/nb6BMnbeRJL3RKvGyCsuw950TiUhkrpuzVyhVsqx4cQ1saMQ1RsW29Xo\nG9oEt4rLsJs3cRBJXrdmrrBTKbA+mZ03kdTdHdDadJIDWtRwsNiuRhetCzTWCqw7zs6bSOqsreR4\nrIU7Ek/e4I3NRGagHwe0qIFhsV0NlUKO3i098MepTK4HSmQG+rZujHxdOXad4xr5RFLX+c8BrfXH\nuWMzNQwstmvQN7QxCvTl3OCGyAx0CnKFg40V1iez8yaSursDWr+fvsE18qlBYLFdg6ggFzSyZedN\nZA6UChl6t3THH6d5NYrIHPQNbYwCXTl2nuVUErJ8LLZrYCWXoU+IBzanZKKklJ03kdT1a90Ehfpy\nbD/Dq1FEUve/AS3eG0WWj8V2LfqGNkFxaQW2nckSOwoRGdExwBnOaiU7byIzUDWgxatR1ACw2K5F\nB38nuNix8yYyB4o/O+8tKVkoLi0XOw4RGdE3tAmKSiuwLZUDWmTZWGzXQiGX4fGQxtiamoVCPTtv\nIqnrG9oEJWUV2MrOm0jy/jegxXujyLKx2Daib2hj6MoqsSUlU+woRGREe38nuGpUXCOfyAzcHdDa\nkpqJIg5okQVjsW1EOz8nNHawxi/H2HkTSZ1cJqBvaGNsO5ON2yVlYschIiOeatMEurJK/H76hthR\niEyGxbYRMpmAp9o0wY6z2cgp1Isdh4iMGBDmidLySmw6wUvTRFIX4dMIXo1ssOYoB7TIcrHYvg8D\nw7xQUWngpWkiM9DK0wEBrmr8fDRD7ChEZIRMJmBAmCd2n8tGVr5O7DhEJsFi+z4089AguLE91rDz\nJpI8QRAwMMwTBy/k4kpusdhxiMiI/mGeqDQAv3JAiywUi+37NDDME8ev3kZ6dqHYUYjIiKfbeAJg\n501kDgJd7dDay4EDWmSxWGzfp6faNIFMANbyw4BI8rydbNHezwk/H7kKg8EgdhwiMqJ/mCdOXcvH\n2cwCsaMQ1TkW2/fJ3d4aUUEuWHM0g503kRkYEO6J9OwinMzIFzsKERnRr3UTyGUCR7fJIrHY/hcG\nhHnial4JDl/KEzsKERnxREhjKOUy/Hz0qthRiMgIFzsVumpd8cvRDFRWckCLLAuL7X+hd0sP2FjJ\n+c2byAw42FqhZ7Ab1h2/hvKKSrHjEJER/cM8ce22Dgcu5IodhahOsdj+F9QqBXq3dMeG5OvQl1eI\nHYeIjOgf5ombhaXYlXZT7ChEZESvYHfYqRRYw6tRZGFYbP9L/cM8cbukDNtSs8SOQkRGdG/mBkdb\nK6w5wqtRRFJno5SjT4gHNp24AV0ZB7TIcrDY/pc6BbnATaPCqiR+8yaSOqVChn6hTfDbqRvcvp3I\nDAwK90KBvhy/neL27WQ5FKY68IABA2BnZwcA8PLywogRI/Duu+9CLpfDz88PM2bMgEwmQ0JCAuLj\n46FQKDB27Fh0794dOp0OkydPRk5ODtRqNWbPng0nJydTRf1XFHIZBkV4YfHO88jK18HN3lrsSEQm\n9/f2PHPmzKqf/frrr1iyZAlkMhkGDRqE2NhYsWJWK7qtN+L2X8Kvx69heKSv2HGI6oW5ttkO/k7w\ncbLFikNXqtbLJzJ3Jim29Xo9DAYD4uLiqh4bN24cxo0bh65du2LSpEnYvn07WrVqhbi4OKxevRp6\nvR6xsbGIiorC8uXLodVqMX78eGzYsAELFizAtGnTTBH1gQyJ8MJX29Ox+kgGxnYLFDsOkUlV157/\n6uOPP8b69etha2uLJ598Ek8++SQcHBzqOWXNQjzt0dxDg5WHr7DYpgbBnNusTCZgSIQX5vxxFldy\ni+HtZCt2JKKHZpJiOzU1FSUlJRg5ciTKy8sxceJEBAcH49atWzAYDCgqKoJCoUBycjLCwsKgVCqh\nVCrh4+OD1NRUJCUl4cUXXwQAdOnSBQsWLKj2eVJSUkwR/76EuFlj6d50dHXTQxCEBzqGTqcT9Rzq\niiWchyWcg6lU157btGlT9fNmzZqhoKAACoUCBoOh1vYg1mvczUeJhQdzsHHPMfg7qR74OJbwPuE5\nWL66arNivcatHcohAFiQeBQjwh78qrYlvE8s4RwAyzmPB2WSYtva2hqjRo3CkCFDcPHiRYwePRqv\nvPIKZsyYga+++goajQYdOnRAYmIiNBpN1d+p1WoUFhaisLCw6nG1Wo2Cgup3lAoODjZF/PvyXJEd\nJq9KRpGtB9r5PdiHQUpKiqjnUFcs4Tws4RySkpJMctzq2nNiYiIUijsfH02bNsWgQYNgY2ODXr16\nwd7evsZjifUae/iU4rukLTiUa4Unoh48gyW8T3gO0mCq9grUXZsV6zUOBtAluQQ7LhXgw2HNIZc9\n2ICWJbxPLOEcAMs4j4dpsya5QdLf3x9PPfUUBEGAv78/HB0dMWXKFPz0009ITExE//79MWvWLNjZ\n2aGoqKjq74qKiqDRaO55vKioqNbOWyxPtGoMtVKOhENXxI5CZFLVtefs7GwAd0bQtm/fji1btmDr\n1q3Izc3Fpk2bRE78T43USvRq4Y61RzO4bCdZPEtos9FtvXHttg57uGwnWQCTFNurVq3CrFmzAACZ\nmZkoLCyEj49P1c0abm5uyM/PR2hoKJKSkqDX61FQUID09HRotVqEh4djx44dAICdO3ciIiLCFDEf\nilqlQL/WTbDhxHUU6svFjkNkMtW1Z1dXVwCARqOBtbU1VCoV5HI5nJyckJ8vze3Ro9t5I6+4DJtP\nc9lOsmyW0GYfbXFn2c4VhzmgRebPJNNIBg8ejLfffhsxMTEQBAEfffQRKisrMWHCBCgUClhZWeGD\nDz6Aq6srhg8fjtjYWBgMBkyYMAEqlQoxMTGYMmUKYmJiYGVlhTlz5pgi5kMb0tYb8YeuYEPyNQxt\n5yN2HCKTqK49b9q0CcXFxRg6dCiGDh2K2NhYWFlZwcfHBwMGDBA7crU6BbmgiYM1Eg5fwZOhjcWO\nQ2QyltBmVQo5+rfxxLIDl5FXVIpGaqXYkYgemEmKbaVSWW2BHB8f/4/HoqOjER0dfc9jNjY2mDdv\nnimi1alwH0cEudkh4fBVFttksaprz+Hh4VX/PyYmBjExMfUd61+TywQMjvDCF9vScO1WCZo42ogd\nicgkLKXNRrf1xvd7L+KXYxl4Pspf7DhED4yb2jwEQRAQ3dYLSZfykJZV/U2cRCQdgyO8YTAAq7kp\nFZHktWhij1aeDlhx+CoMBoPYcYgeGIvthzQgzAsKmYD4g5xXRiR1Ps62eCTQGSsOX0FFJTtvIqmL\nbueNlOv5SL56W+woRA+MxfZDctWo0LulB1YmXYWujKscEEldbAcfXM0rwc6z2WJHISIj+rdpAlul\nHEv3XxI7CtEDY7FdB56J9MHtkjKsT74udhQiMuKxFh5wsVOx8yYyAxprKzzdxhPrkq/hdnGZ2HGI\nHsh9FduVlZWoqKjA4cOHUVpaaupMZqdjgDMCXNX46QA7byKpUypkGNbOG1vPZOFqXrHYcYjIiGc6\n+EBXVonVR3ivBZkno8X2jBkzkJCQgM8//xxfffUVpk+fXh+5zIogCHimgy+OXr6FU9c4r4xI6oa1\n9wYA3mtBZAZCPB3QxtsRPx24xBslySwZLbZPnDiBYcOG4ejRo/j2229x48aN+shldgaHe0GlkOGn\nA5fFjkJERng1skWPZm6IP3QFZRWVYschIiOejfRFenYR9p/PFTsK0b9mtNiurKzEyZMn4eXlhdLS\n0nu2V6f/cbC1Qr/WTbD2aAYKdJxXRiR1z0T64GahHr+fyhQ7ChEZ0Te0MRxsrLCU0zXJDBkttp9+\n+mm8//77GDlyJD755BMMHTq0PnKZpWcjfVFcWoG1x66JHYWIjOiqdYOnow3vtSAyA9ZWcgyO8MJv\nJ28gu0Avdhyif8Vosf3MM8/gu+++Q0VFBSZMmIAhQ4bURy6z1NrLAS2b2OOn/ZxXRiR1cpmA2A4+\n2Jueg/TsQrHjEJERsR18UF5pQMJh3mtB5sVosf3bb79h+PDhmDx5MpYsWYIFCxbURy6zJAgCno30\nReqNAiRdyhM7DhEZEd3WGwqZgJ/2814LIqkLdLXDI4HOWHbgMjelIrNitNhesmQJEhIS4OjoiP/8\n5z/YvHlzfeQyW0+3aQKNtQJL9l4UOwoRGeGqUeHxVo2x8vAVFOrLxY5DREYMj/RFxq0S/HGa91qQ\n+TBabMvlciiVSgiCAEEQYGNjUx+5zJatUoFh7byRePIGrt0qETsOERnxQpQfCvTlWJ3ENXyJpK5X\nC3d4OtpgyZ4LYkchum9Gi+2IiAhMnDgRmZmZeOedd9CqVav6yGXWRnT0g8FgQBx3qCOSvHCfRmjt\n7Yjv915EJS9NE0maQi7DiI6+OHAhl/takNkwWmxPnDgR/fv3x5AhQ9C9e3e89dZb9ZHLrHk72aJX\nC3csP3gZJaUVYschIiNGRvnhws0i7DibLXYUIjJiWDsf2FjJ8f2ei2JHIbovRovttWvXIjc3Fy4u\nLrh9+zbWrl1bH7nM3gtR/rhVXIZfjmWIHYWIjHg8pDHcNCp8x0vTRJLnYGuFgeGe+OX4NeQUchlA\nkj6jxXZ6ejrS09ORlpaGdevWYdeuXfWRy+x18HdCcGN7LNlzkcsAEkmcUiHD8DmaQm8AACAASURB\nVEhf7Dp3E2lZBWLHISIjXojyQ2l5JZZx12YyA0aL7UmTJmHSpEl444038M0336CggB3R/RAEAS9E\n+eFMZgH2peeIHYeIjIjt4AOlQoYlvDRNJHlBbhp0buqCuP2XUFpeKXYcoloZLbZLS0ur/nft2jVc\nvco79u/XU62bwFmtxHfsvIkkz9lOhadbN8HPRzJwu7hM7DhEZMTIKH9kFeix6eR1saMQ1Uph7Bf6\n9OkDQRBgMBhgbW2NUaNG1Ucui2BtJUdsBx/M35aGSzlF8HVWix2JiGrxQpQ/ViZdxfJDlzGma6DY\ncYioFl21rghwUeO73RfwVOsmEARB7EhE1TI6sr1161Zs2bIFW7duxcaNGzFo0KD6yGUxhkf6wkom\nw7e7eeMVkdS1aGKPjgHO+H7PRV6aJpI4mezOdM3jV2/j0EXu2kzSVePI9tChQ2v8lhgfH2+yQJbG\nzd4aA8I8kXD4Cl7r2RTOdiqxIxFRLV7uGoDnlxzCr8evYXCEl9hxiKgWgyO88enmc1i0Ix3t/Z3E\njkNUrRqL7blz59ZnDos2uksAVhy+gh/3XcKEXlqx4xBRLbpqXdHcQ4PFO9MxMMwTMhkvTRNJlY1S\njuc6+uHTzWdxNrMAWneN2JGI/qHGaSSenp7w9PREeXk51q9fjzVr1mDNmjVYtGhRfeazCEFudujV\nwh0/7ruI4tJyseMQUS0EQcDLXQNwNrMQ289miR2HiIwY0dEXNlZyLN55XuwoRNW6r6X/AODIkSO4\nevUqbt26ZfJQlmhM1wDkFZdh5WGu5kIkdX1Dm6CJgzUW7mDnTSR1jdRKDG3njV+OZeD67RKx4xD9\ng9Fi29bWFi+//DLc3d0xa9Ys3Lx5sz5yWZwIXye09W2Er3edR3kFb7wikjIruQyjOgfg4IVcHLnM\nG6+IpG5UJ39UGsB18kmSjBbbgiAgOzsbRUVFKC4uRnFxcX3kskgvdw3E1bwSbDx5Q+woRGTEsHbe\ncLCxwmKObhNJnreTLZ5s1RjLDlxGvo7r5JO01Fhsr1q1CjqdDq+88go2b96Mp59+Go8++ig6duxY\nn/ksSs/mbgh0VWPRjnRu4U4kcWqVAsMjffHb6Ru4cLNI7DhEZMRLXQJQqC/nFu4kOTUW22fOnEG/\nfv2wYcMGhIWFoWfPnti7dy+mTJlSn/ksikwm4OUugTh1LR87z3E6DpHUPfeIH6zkMizakS52FCIy\nIsTTAZ2buuDb3RegK6sQOw5RlRqL7alTp2Ljxo2IjIzE3LlzMWzYMKxcuRIlJbz54GH0D/NEEwdr\nfLHlHEe3iSTOVaPCsHbeWH3kKjJu8bOPSOr+0y0I2QV6rDh0RewoRFVqnbNtZWWFPn36YPHixfj8\n889x6dIldOvWrZ6iWSalQoYx3QJx+FIekm/oxI5DREbc3bZ94XaObhNJXWSAE9r5NcLCHekoreCA\nFkmD0Rsk9Xo91q9fj6lTpyIpKQmTJ0+uj1wWLbqtN9w0KixL5ioHRFLXxNEGgyO8seLQFdws4jr5\nRFImCAJe7dkU12/rsDmtQOw4RABqKbYPHDiAt99+G48//jiOHz+ON998E8uXL8fgwYPrM59FsraS\n4+WugUi+ocOhi7lixyEiI/7TLRAVBgNWneI+A0RS1ynIBW28HbHixC2UcaldkoAai+358+fjkUce\nQWJiIqZOnQqtltuM16XY9j5wtJZj3pZzYkchIiO8nWwxMMwTm84WIKuA07+IpEwQBLzWsymyisqx\n5kiG2HGIoKjpB3FxcQ914AEDBsDOzg4A4OXlhTfeeAPTpk1Dfn4+Kioq8PHHH8PHxwcJCQmIj4+H\nQqHA2LFj0b17d+h0OkyePBk5OTlQq9WYPXs2nJycHiqP1Ngo5RjY0gHfJd3E0ct5CPNpJHYkohr9\nvT3PnDmz6mfJycmYNWsWDAYDXF1d8cknn0ClUokV1WTGdQ/C6iNX8c2uC/jvE8FixyGqVUNvs92a\nuaKpsxJfbk/DwHBPKORGZ80SmUyNxfbD0Ov1MBgM9xTsb731Fvr164cnnngC+/fvx/nz52FjY4O4\nuDisXr0aer0esbGxiIqKwvLly6HVajF+/Hhs2LABCxYswLRp00wRVVR9m9ljTUoBvtiahu+ebyd2\nHKJqVdee7zIYDJg+fTrmzZsHX19frFy5EhkZGQgICBAhqWn5uajR1d8OS/dfwpiugXBSK8WORFQt\nttk7o9vDQhvhg22Z+PX4NQwM9xI7EjVgJvmql5qaipKSEowcORIjRozAsWPHcOTIEWRmZuL555/H\nunXr0L59eyQnJyMsLAxKpRIajQY+Pj5ITU1FUlISOnfuDADo0qUL9u3bZ4qYorOxkmFUJ39sTc1C\n8lXOBSVpqq4933XhwgU4Ojri+++/x7PPPotbt25ZXKf9V8NaOaKkrAKLd3JXSZIuttk7Ir1t0dxD\ng/lb01DOudskIpOMbFtbW2PUqFEYMmQILl68iNGjR+PKlSuwt7fH999/j/nz5+Prr7+Gn58fNBpN\n1d+p1WoUFhaisLCw6nG1Wo2CgurvKE5JSTFF/Hqj0+kQ6ayEvUqG938+gg97NRY70gPR6XQW8d/C\n3M/BVKprz4mJiVAoFMjLy8PRo0fxzjvvwMfHB2PGjEFISEiNO82a+2vsZl2Jrn52WLLnPDq7l8HJ\nxiQfoSZlCe91SzgHU6qrNmvur3GpXo/BzW3x4fZMfLnhMB5rqjH+RxJjKe91SzmPB2WSnsLf3x++\nvr4QBAH+/v5wdHRERkYGevToAQDo0aMHPv30U4SEhKCo6H/bIBcVFUGj0cDOzq7q8aKiItjb21f7\nPMHB5j1vMiUlBcHBwXjltjU+2piKAmt3tPc3v7npd8/DnFnCOSQlJZnkuNW15+zsbDRu3BiOjo7w\n9fVFYOCdtag7d+6MkydP1lhsm/trnJKSgvcGadFz7g78cVWG954yv/OxhPe6JZyDqdorUHdt1txf\n45SUFIzq3Ry/pu1BwulCjHkiAiqFXOxY/4olvNcByziPh2mzJplGsmrVKsyaNQsAkJmZicLCQvTq\n1Qs7duwAABw6dAhBQUEIDQ1FUlIS9Ho9CgoKkJ6eDq1Wi/Dw8Krf3blzJyIiIkwRUzJGdPSDm0aF\nT35L5a6SJDnVtWdXV1cAgLe3N4qKinDp0iUAwOHDh9G0aVPRstYHPxc1ott6YdmBy9xVkiSJbfZ/\nBEHAG481Q8atEu4qSaIxycj24MGD8fbbbyMmJgaCIOCjjz6Cu7s7pk2bhvj4eNjZ2WHOnDlwcHDA\n8OHDERsbC4PBgAkTJkClUiEmJgZTpkxBTEwMrKysMGfOHFPElAxrKznG9wjC9F9OYcfZbHRr5iZ2\nJKIq1bXnTZs2obi4GEOHDsWMGTMwadIkGAwGhIWFNYhdZsf3aIrVSRmYt/kcZg8OFTsO0T3YZu/V\nuakL2vs74YutaRgS4Q0bpXmNbpP5M0mxrVQqqy2QlyxZ8o/HoqOjER0dfc9jNjY2mDdvnimiSdbQ\ndj5YtPM85vx+Fl21rhAEQexIRACqb8/h4eFV/79jx45YtWpVfccSVRNHGzwT6YMf913CmG6B8HdR\nix2JqArb7L0EQcDk3s0wZOE+/LDvIsZ0DRQ7EjUwXHhSIpQKGV5/VIsTGbfx26kbYschIiP+0y0I\nSrkMn/5xVuwoRGREOz8ndNW6YuGOdOTrysSOQw0Mi20JGRDmiUBXNeb8fhYVlZy7TSRlrhoVXojy\nw7rka0i9kS92HCIy4o3HmuFWcRm+3XVB7CjUwLDYlhC5TMCkx5rhXFYhVh+5KnYcIjLi5S6B0KgU\nmL0pVewoRGREKy8HPB7iga93nUdWgU7sONSAsNiWmMdDPBDm44g5v59BcWm52HGIqBYOtlZ4pUcQ\ntp3Jxp60m2LHISIj3uzTHKXllfhs8zmxo1ADwmJbYgRBwNQngpGZr+elLiIzMKKjH7wa2WDGhhRU\ncvoXkaT5u6jxbKQvVhy6gnOZ1W+YR1TXWGxLUFs/J/Rp6YGFO9KRXaAXOw4R1cLaSo7JvZvh9PV8\nrDmaIXYcIjLi1Z5NYWslxyxO/6J6wmJboqY83hz68kp8tpkrHRBJXb/QJmjt5YD/+/0MdGUVYsch\nolo4qZX4T/cgbEnNwt50Tv8i02OxLVF3L3XFH7qCtCxe6iKSMplMwH+fCMb12zp8u5vTv4ik7oUo\nPzRxsMZHGzn9i0yPxbaE3b3UNXMjL3URSV2HAGf0auGOr7an42Yhp38RSZm1lRyT+zTDyYx8/HKc\n07/ItFhsS9hfL3XtPJstdhwiMuKtx5tDV1aBOb9z+heR1D3d2hOtPB0wexNX/yLTYrEtcSM7+cHX\n2RbvrzuFsopKseMQUS0CXe3w3CN+iD90GSczbosdh4hqIZMJeLdfC9zI12HBtnSx45AFY7EtcSqF\nHO/0bYH07CL8sPei2HGIyIjXHm0KZ7US7/56CgYD54ISSVlbPycMCPPE4p3ncSmnSOw4ZKFYbJuB\nHs3d0K2ZKz7bfI67XhFJnL21Fd7s0xxJl/Kw9hjnghJJ3VuPN4dCLuCD9SliRyELxWLbDAiCgHf6\ntoC+vAKfJJ4ROw4RGTE43AutvR0xc2MqCvWcC0okZe721hjfoyk2p2Ri+5ksseOQBWKxbSYCXO0w\nspM/ViZdxdHLeWLHIaJayGQC3n+qJbIK9PhiK7eFJpK6kZ384O+ixv9bdxql5bw/iuoWi20zMr5H\nU7hqVHjv11Oo4LqgRJLWxtsRQyK88N3uC0jPLhQ7DhHV4u79UedvFmHJHq6VT3WLxbYZsVMpMPWJ\nYBy/ehvLDlwSOw4RGfFmn+awtpJj+tqTvFmSSOK6N3fDo8Fu+GzzOVzNKxY7DlkQFttm5uk2TRAV\n5IyPE88gK583SxJJmatGhbceb4696TlYc5Q3SxJJ3XtPtQQAvPsLVxOiusNi28wIgoAP+7eCvqIS\n768/LXYcIjIipp0Pwn0c8eGGFOQVlYodh4hq4dXIFhN7abElNQu/nbohdhyyECy2zZC/ixqvdA/C\nhuTr2MY7p4kkTSYT8NHAVsgvKcPMTVxajEjqXojyQ3Bje7z362kU6MrEjkMWgMW2mXq5awACXdWY\nvvYkSkorxI5DRLVo7mGPFzsHIOHwVRw4nyN2HCKqhUIuw0cDQpBZoMOc38+KHYcsAIttM6VSyDFj\nQCtczSvB51u4tBiR1L3Wsym8Gtngv2tOQF/OL8hEUhbm0wjPdvDFj/suIvnqLbHjkJljsW3GIgOc\nMSTCC1/vOo+TGbfFjkNEtbBRyvFB/xCkZxfhy23pYschIiMm92kGFzsVpqw+wbW36aGw2DZz055s\nAWe1Em+sPM4PAyKJ697MDQPDPLFgWxq/IBNJnL21FWYMaIWU6/lYsD1N7DhkxlhsmzkHWyt8NKAV\nUm8U4Mtt/DAgkrp3+rVAI7USk1cl8wsykcT1auGO/m2aYP7WNJy+li92HDJTLLYtwKMt3DEgzBNf\nbkvDqWscLSOSMkdbJWb0D0HK9Xx8tZ3TSYik7t1+LeFoe+cKclkFvyDTv8di20K8268FHG2VmLwy\nmR8GRBL3WEsPPN2mCb7Yeg4p1zlaRiRljdRKfNg/BKev52MhvyDTA2CxbSEcbZWYMeDOh8EC3nxF\nJHnv9WsJR1srTF7F0TIiqesT4oG+oY0xj1+Q6QGw2LYgvVt64KnWd0bLuFQRkbTdHS07mZGPL7h8\nJ5Hkvf9US9hbW2HCimNcvpP+FRbbFuaDp0PgqlHh9fhjKC4tFzsOEdWiT0hjDAr3wvxtaUi6lCt2\nHCKqhbOdCh8PDkXqjQJudkP/CottC+Nga4U5Q1rjQk4RPtrIraGJpO69p1rAs5ENXl9xDIV6fkEm\nkrKewe54poMPvt51HnvTboodh8wEi20L9EiQC0Z3DsDS/ZexNTVT7DhEVAuNtRU+jW6DjLwSvP/r\nKbHjEJERU58Mhr+zGpNWHsft4jKx45AZYLFtoSY9pkVzDw3eXJWMm4V6seMQUS3a+jlhXPcgrEy6\nik0nrosdh4hqYatU4LNhbZBdoMfUtSdgMBjEjkQSx2LbQqkUcnw+LAz5unK8uSqZHwZEEvdqz6Zo\n7eWAt9ecwPXbJWLHIaJahHo5YkIvLdYnX8fPRzLEjkMSx2LbgjXz0GDqE8HYmpqFb3ZdEDsOEdXC\nSi7DZ8PCUFZeifHLjqKcywESSdqYroHo4O+EaWtPIi2rQOw4JGEKUx14wIABsLOzAwB4eXlh5syZ\nAIB169Zh6dKlWLFiBQAgISEB8fHxUCgUGDt2LLp37w6dTofJkycjJycHarUas2fPhpOTk6miWrQR\nHX2xLz0HsxNTEeHXCOE+jcSORGaopvb8V9OnT4eDgwPeeOON+o5nMfxd1PhoYCu8Fn8Mc/44iyl9\nmosdicwU26zpyWUC5sWE4YnPd2HcT0exdlwUbJRysWORBJmk2Nbr9TAYDIiLi7vn8dOnT2PVqlVV\nUxqys7MRFxeH1atXQ6/XIzY2FlFRUVi+fDm0Wi3Gjx+PDRs2YMGCBZg2bZopolo8QRAwe3Ao+n6x\nC+OXHcWGVzvB0VYpdiwyIzW157+Kj4/H2bNn0a5du3pMZpmebuOJ/edz8dX2dHTwd0K3Zm5iRyIz\nwzZbf9ztrTF3aBs8991BvL/uFGYNChU7EkmQSaaRpKamoqSkBCNHjsSIESNw7Ngx5OXlYe7cufjv\nf/9b9XvJyckICwuDUqmERqOBj48PUlNTkZSUhM6dOwMAunTpgn379pkiZoPhYGOF+THhyCrQ4Y2V\nnL9N/0517fmvjhw5guPHj2Po0KEiJbQ87/ZrgeYeGkxMOI4bt3VixyEzwzZbv7pqXTGueyDiD13B\n2qOcv03/ZJKRbWtra4waNQpDhgzBxYsXMWrUKDRt2hRvv/02VCpV1e8VFhZCo9FU/VutVqOwsPCe\nx9VqNQoKqp8LlZJi3utI63S6ejsHJYCR4U5YdCgTH63ej4EtHevs2PV5HqZiCedgKn9vz6NHj0Zi\nYiIUCgWysrLw5ZdfYv78+di0aZPRY5n7a1yf75NJkQ4Yvz4DL367B7N6N4ZcJtTJcS3hvW4J52BK\nddVmzf01rs/3yeNeBuxws8Zbq4/DVn8T3g51cwXZUt7rlnIeD8okxba/vz98fX0hCAL8/f1x7do1\nyGQyvPfee9Dr9UhLS8OMGTMQGRmJoqKiqr8rKiqCRqOBnZ1d1eNFRUWwt7ev9nmCg4NNEb/epKSk\n1Os5NG9uwKXiI/juSCZ6hmsRGeBcJ8et7/MwBUs4h6SkJJMc9+/t2dHREdnZ2WjcuDESExORl5eH\nl156CdnZ2dDpdAgICMDAgQOrPZa5v8b1+T4JBjDb2gWvxR/DmgvA9L5187yW8F63hHMwVXsF6q7N\nmvtrXN/vk2+8AvDkvF2YvScPa8dFQWNt9dDHtIT3OmAZ5/EwbdYk00hWrVqFWbNmAQAyMzPh5+eH\nxMRExMXFYe7cuQgKCsLUqVMRGhqKpKQk6PV6FBQUID09HVqtFuHh4dixYwcAYOfOnYiIiDBFzAZH\nEAR8MiQUfs62GPfTEVy7xeXFyLi/t+fCwkK4uroCAEaMGIGff/4ZcXFxeOmll9C3b98aC236955u\n44nnH/HDt7sv4JdjvDxN94dtVhweDtaYHxuOiznFeGPlcVRWcsom3WGSYnvw4MEoKChATEwMJkyY\ngI8++ggKxT8H0V1dXTF8+HDExsbiueeew4QJE6BSqRATE4Nz584hJiYGK1aswCuvvGKKmA2SxtoK\ni4a3hb68EmOXJkFXViF2JJK46trzpk2bqlYUItOa+mQw2vs7YcrqZJy6dlvsOGQG2GbF0zHQGW8/\n3hy/ncrEVzvSxY5DEmGSaSRKpRJz5syp9mdeXl5ISEio+nd0dDSio6Pv+R0bGxvMmzfPFNEIQJCb\nHeZEt8bLcUl455eTmD0oFIJQN/NByfJU157Dw8P/8XscHTMNK7kMX8aGo98Xu/FyXBLWvdIJjdRc\nUYhqxjYrrlGd/HEi4zb+7/czaNHEHt25olCDx01tGqjeLT0wvkcQEg5fxdL9l8SOQ0S1cNWosHB4\nBLLy9Xg1nhveEEmZIAiYNTAUzdw1eG35UVy8WWT8j8iisdhuwF5/VIsezd3w3rrT2H3upthxiKgW\nbbwd8WH/EOw6dxMfrD8tdhwiqoWNUo7Fw9tCJhMw8odDuF1cJnYkEhGL7QZMLhPw+bA2CHK1w9if\nkpCWVSh2JCKqRXQ7b4zu7I8f9l3CD3svih2HiGrh42yLhc9G4EpuMf6zLAllvCLVYLHYbuA01lb4\n5rm2UClkGPXDIeQWlYodiYhq8dbjwXg02A3vrzuF7WeyxI5DRLWIDHDGRwNaYU9aDt755RQ3lWug\nWGwTvJ1ssWh4W1y/rcOYuCToy7lCCZFU3bkiFYZmHvZ4ZdlRnLlR/aZfRCQNQ9p6Y2y3QCw/eBnf\n7bkodhwSAYttAgBE+DbCJ4NDcfBiLt5afYLrgxJJmFqlwLfPtYWNUo6R3x9CVj63dCeSssmPNUPv\nlu74cMNp/HbqhthxqJ6x2KYqT7fxxKReWqw5moHZialixyGiWjRxtMG3z7VFXnEpnltyCPk63oBF\nJFUymYBPh7ZBay9HvLr8KA5eyBU7EtUjFtt0j1d6BGFER18s2nke3+w6L3YcIqpFqJcjFj4bgXOZ\nBXjpx8PcpIpIwmyVCnz3fDt4NrLBiz8c4hSwBoTFNt1DEAS8268lnmjlgQ83pGDtUW4RTSRlXbSu\n+L8hrbH/fC4mJhxDBaeAEUmWk1qJH0e2h41Sjue+O4iMWyViR6J6wGKb/kEuEzA3ug0iA5zwxsrj\n2Hk2W+xIRFSL/mGemPZkMDaeuIH313HFAyIp82pkix9GtkdRaTlGfHsAeVwFzOKx2KZqWVvJsXhE\nWzR112DM0iQcv3JL7EhEVIsXOwfgpS4B+HHfJXyxNU3sOERUi+Ye9vhmRFtcySvByB8Oobi0XOxI\nZEIstqlG9tZW+OGFdnC2U2LEdwdx6tptsSMRUS3e6tMcA8M9MfePs7zngkjiOgQ4Y96wMBy/cguj\nvj+MklLec2GpWGxTrdzsrbHsxUiolXI8+80B3tBBJGEymYCPB4XiyVaN8eGGFO4ySSRxfUI8MDe6\nDfZfyMFLcbzJ2VKx2CajvJ1ssWx0JJQKGZ75Zj+3dSeSMIVchs+GtUGvFu5499dTWHbgstiRiKgW\n/cM8MXtQKHadu4n//HQEpeXc1t3SsNim++Lnosay0ZEABMR+vR8XbhaJHYmIamAll2F+bBh6NHfD\nf9ecQMLhK2JHIqJaRLf1xowBIdiamoVXlh1BWQULbkvCYpvuW6CrHZaN7oDySgNiv96PyznFYkci\nohqoFHIseCYcnZu6YMrqZKw5elXsSERUi2c6+OK9fi3w++lMvL7iGAtuC8Jim/4VrbsGS0d1QElZ\nBYYs2ou0LM7hJpIqays5Fg9vi44BzpiYcBzxBzmlhEjKno/yx9QngrEh+TrG/XQEpRVcxtMSsNim\nf61FE3useKkjKiqB6EX7kZ6rFzsSEdXARinHt8+1Q5emrnjr5xNYc5qrChFJ2eguAVUj3O9vvcFV\nSiwAi216IM08NFg5piOsFTK89dt1HLmcJ3YkIqqBjVKOxSMi0KelBxYfysH8ree48Q2RhD0f5Y+P\nB4Xi2PUSPPfdQRToysSORA+BxTY9MH8XNRLGdIRGJcOz3xzA3vSbYkciohqoFHLMjw1DzwA7/N/v\nZzE78QwLbiIJi27njTc7u+HI5Tw8+80B3CrmTpPmisU2PRSvRrb4vz5N4Olog+eXHMLvp26IHYmI\naqCQyzCxkyue6eCDhTvSMW3tSVRUsuAmkqqu/nZY+GwEUm4UYOii/bhxWyd2JHoALLbpoTnZKrDi\n5Y4I9riztXvc/ktiRyKiGsgEAR/2D8GYroH46cBljFmaxDmhRBL2aAt3LHm+HTJulWDAgj3cXM4M\nsdimOuGkVmL5S5Ho3swN09eexOzEVFRyxIxIkgRBwFuPN8f7T7XE5pRMxHy9HzmFvNGZSKqiglyw\n4uVIVFQaMHjhXuxLzxE7Ev0LLLapztgqFVg0PAKxHXzw1fZ0TEw4xp2wiCTsuUf88NUzEUi5no9B\nX+3FpRxuVkUkVS2bOGDNuCh42Fvjue8O4pdjGWJHovvEYpvqlEIuw4z+IZjcuxnWHruG55ccxO0S\n3kVNJFV9QjywbHQkbpeUYeCCvTjKlYWIJMvT0QarxjyCMB9HvBZ/DF9tT+eNzmaAxTbVOUEQMK57\nED4d2hqHLuZiwJd7kJ5dKHYsIqpBhG8jrB77CNQqBYYu3o+fj3C3SSKpcrC1wo+j2qNf6yaYnZiK\nSSuPQ1fG+y6kjMU2mcyAMK+qEbP+8/dg25kssSMRUQ0CXO2wdlwUInwaYWLCcXy0MYUrlRBJlEoh\nx7xhbTCxlxY/H8nAsMX7kZnPlUqkisU2mVQ7Pyf8Or4TvJ1sMfL7Q1i0g5e8iKTKSa3Ej6PaY0RH\nXyzeeR4jvz/EaWBEEiUIAl7t2RQLn43A2cwCPDV/N45fuSV2LKoGi20yOU9HG6wa2xFPhDTGzE2p\nmJhwnEuNEUmUlVyG//d0CD4a0Ap70m5iwJd7kJbFaWBEUtUnxAM//+cRWMllGLJoH6eBSRCLbaoX\ntkoF5seGYVIvLdYczcCABZzHTSRlsR18qqaBPTV/N1c+IJKw5h72+PWVTgj3ccTEhON4++cTnMct\nISy2qd4IgoDxPZvi+xfaITNfh6e+2I11x6+JHYuIatDe3wnrX+2EFo3t8Vr8MUxdww6cSKqc1Eos\nHdUBY7oGYvnByxi4YC8u3uRynlLAYpvqXbdmbtjwamc089Bg/PKjmL72JPTl7MCJpKixgw2WvxSJ\nl7sE4KcDl7keN5GEKeQyvPV4c3z7XFtk3CpBvy92Y9OJ62LHavBYbJMo2qpmCAAAHPZJREFUmjja\nYMXLHTG6sz/i9l/C4K/24TynlRBJkpVchrefCMbXI9riSm4x+s7bjfXJvCpFJFU9g92x4dVOCHCz\nw9ifjuDdX07yqpSIWGyTaKzkMkx9sgUWD4/A5dxiPDlvN5YduMzVSogkqlcLd2x4tTMC3OzwyrKj\nmLjiGAp0XK2ESIq8Gtli5csdMTLKHz/su4Sn5u/G6Wv5YsdqkFhsk+gea+mB317vggjfRvjvmhMY\n/WMScgr1Ysciomp4O9li1ZiOeLVnU6w9loHHP9+FQxdzxY5FRNVQKmR4p18L/DCyPfKKy9D/yz1Y\nvDMdlVxDv14pTHXgAQMGwM7ODgDg5eWFESNG4IMPPoBcLodSqcTs2bPh4uKChIQExMfHQ6FQYOzY\nsejevTt0Oh0mT56MnJwcqNVqzJ49G05OTqaKShLg4WCNH0e2x5K9FzE7MRW9P9uFTwaHontzN7Gj\nEf7ZnmfOnFn1s/Xr1+OHH36AXC6HVqvFe++9B5mM3+MtmZVchom9tOiqdcWEFccwdNE+jO0WiNd6\naqFU8L+9FLDN0l911brit9e74O2fk/HRxlRsS83GnOjWaOJoI3a0BsEkxbZer4fBYEBcXFzVY88+\n+yymT5+O4OBgxMfH4+uvv8aLL76IuLg4rF69Gnq9HrGxsYiKisLy5cuh1Woxfvx4bNiwAQsWLMC0\nadNMEZUkRCYTMKqTP6KCnPF6/DG88P0hDAr3wvS+wXC0VYodr8Gqrj3fpdPp8Nlnn2HdunWwsbHB\nxIkTsW3bNvTs2VOEpFTfInwbYeNrnfH/1p3Cl9vSsSUlCx8PDkWol6PY0Ro0tlmqjpNaiYXPRmBl\n0lW8/+spPPbpTrz9RHPEtPOBTCaIHc+imeSrbGpqKkpKSjBy5EiMGDECx44dw9y5cxEcHAwAqKio\ngEqlQnJyMsLCwqBUKqHRaODj44PU1FQkJSWhc+fOAIAuXbpg3759pohJEtXcwx6/vBKFV7oHYe2x\nDPT6dCcST/JuarFU157vUiqViI+Ph43NndGR8vJyqFQqsaKSCOxUCnw8uDW+HtEWuUWl6P/lHszc\nlMKbsUTENks1EQQB0W29sem1Lgj1csDUNScR+81+rjBkYiYZ2ba2tsaoUaMw5P+3d+dhTZ7pHse/\nIQFBtrALsoMoLoigUrUiaCuOtWprbcd6jtOjY5X2aK0btqNWp3Qbq55zOtrRjt2wU2W0i1PHpXUB\nxx0UFVCxKIiggAuVIKu85w8sUx06tdWQN+H+XJfXJQHC/eTJL7nf5HmfjB1LQUEBkydPZuvWrQAc\nOXKEtWvX8sknn7Bnzx4cHR2bf8/e3h6DwYDBYGi+3N7ensrKyhb/zsmTJ41Rfqupqakx+zGA8cbx\niD90Hu7D8n3lTF17hAcD7Hkuxg0Xu/t/t7WUuTCGH8uzTqfDysoKd3d3AFJSUrhx4wYDBgz40esy\n99vYEu4nxhqDrwZWjOjAnzOusirtLF8dLWJGf3e6e93/t6ktYR6M6X5l1txvY0u4nxhzDPMHOLHN\nU8N7GVcYuiyNCb1cGBXujNYIr3JbwlzcC6M020FBQQQEBKDRaAgKCkKv11NeXs7Ro0d59913Wb16\nNa6urjg4OFBV9c+jqaqqKhwdHW+7vKqqCicnpxb/zvevlJurkydPmv0YwLjjCAeG9WtkdfpZ/nfH\nGU787SJzEjozrq//fX1AsIS5yMzMNMr1/lievb29AWhsbGTJkiWcO3eOd955B43mx+fF3G9jS7if\nGHsMfXrC3m8vM++z48zZepFf9/EjaVgXXOzv31IwS5gHY+UV7l9mzf02toT7ibHH0LUrjIurYf4X\nJ3gvo4wDF2+SPLo7Pf3u71IwS5iLe8msUZaRbNiwgTfffBOA0tJSDAYDhw4dYu3ataSkpODn5wdA\nREQEmZmZ1NbWUllZSX5+PmFhYURFRZGWlgZAeno60dHRxihTmAlrrRXPx4fy9+kDCfd2ZP4X2Ty2\nci/HiipMXVqb0FKePTw8mr+/cOFCamtrWblyZfNb06JtGxDqzrYZsUweGMRfMy8Qv3Q3nx46Lzsg\ntBLJrPg5Ojjb8t6E3rwzrhel12sYvXIvL39+goobdaYuzWJoFCNsalxXV8dLL71ESUkJGo2GWbNm\nkZiYiLe3d/Or1H369GH69Omkpqayfv16FEVhypQpJCQkUF1dTVJSEuXl5VhbW7N06dLbHiig6QjD\n3JtwSzjSg9Ydh6IobDpWwmubT1JuqGVcX3/mJnS+5xMoLWEujJWJO/M8e/ZsiouLuXHjBt27d2fM\nmDH07t27+dWxCRMm8PDDD7dafa3JEu4nrT2G05cqWfBlNofOXaWnn57kUd3p4et8T9dpCfNgzDzc\nj8xKXtWhtcdQWVPP/3xzhg/3FeBkq2Per7owNtrvnk+gtIS5uJdMGKXZbg3yQKAephhHZU09y78+\nw0f7C3C01fHCkE6Mjwn4xduOWcJcqD0Ta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GEMxnK/MmsJt7GMQT0sZRy/hFGabVtbWyZN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\nJjZ483kAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# start with a high rather than a low initial capital stock...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 40000)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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AAVq/fr0cHR31119/qVGjRvr+++/1+OOP22pPTk7W+PHjtX37djk5Oaly5cp6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GAAAB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\nlXDZJiIiIiJSyR+UGf6+Etq8TwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0 is the labor force growth rate: n\n", "0 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# with an initial capital stock at what looks like the\n", "# asymptote for the K/Y ratio...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 25000)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "----\n", "\n", " \n", "\n", "Set n = 0, g = 0, the economy has no long-run tendency to grow: it heads for a stagnant steady state, with all variables constant, and with the capital output ratio K/Y equal to, in this simulation run, 5. What combination of our parameters might possibly give us a 5? Well 5 = 0.15/.03 = s/δ..." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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lSpUqvPfee3h5eTFu3DguX75MdHQ0Xbt2ZcyYMSX/CxQBoqOj+fHHHwkODsbV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z59YDKZsHbtWkyaNAlTpkzBSy+9BJ1OZ/0ePPfcc3j44Yfx73//2/oaer0es2fPxmuvvQYAKCkp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\nZaJeZ8DC+8IxfVAgh5dRC/fccw+GDRsGACgsLORBdhsbE+mLq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Now let's let there be some labor-force growth,\n", "# and some efficiency-of-labor growth...\n", "# starting from a high capital stock\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 80000, g = 0.02, n = 0.01,\n", " s = 0.15)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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2tLQ0pk+fzrFjxzAwMMDZ2ZnvvvsOf3//LNsxZsyYXO2LBw8eMGHCBB4+fEhs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\nAx7079xc6ThCiFrIu1zGy2tSuae1A7ODuisdR4hGx9nOindH9OBwXjG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aWfD52F44NrEk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WFhMDc3x6pVq8SMTkSV2LlzJ4qLixESEoLZs2dj4sSJEAQBQUFBaNaMC+IQEVH9pvfGu2XLlrqp\nxVxcXPDdd9/dd5vg4GAEBwdX2GZtbY21a9fqJSMRPbzyNT18+HDddn9/f/j7+4sVi4iISHKMcgEd\nIiIiIiKpYeNNRERERKQHbLyJiIiIiPSAjTcRERERkR6w8SYiIjIgn3/+OUJCQjBq1Cj88MMPuu07\nd+5ESEiI7nJ0dDRGjRqF4OBgHDx4EMDdxYOmTp2K8PBwTJo0CQUFBQCAM2fOYMyYMQgNDcWnn36q\n3ydEVI+w8SYiIjIQsbGx+OeffxAVFYXIyEhcu3YNAJCYmIjt27dDEAQAQF5eHiIjI7F161Zs3LgR\nH3/8MVQqFaKiouDh4YEtW7ZgxIgRWL9+PQBg0aJFWLVqFaKiohAfH4/ExETRniORMWPjTUREZCCO\nHDkCDw8PTJkyBa+++ir69u2LwsJCfPzxx5g7d67udmfPnkWXLl1gYWEBOzs7ODs7Izk5GXFxcejV\nqxcAoHfv3jh+/DgUCgVUKhWcnZ0hk8ng5+eHY8eOifUUiYyaqAvoEBER0cMrLCzElStXsGHDBuTk\n5ODVV1+Fm5sb5syZA0tLS93tFAoF7OzsdJdtbW2hUCgqbLe1tUVRUREUCgXkcnmF22ZnZ1f6+ElJ\nSXX0zB5fSUmJZPNJORsg7XxSzlYTRtl4x8XFiR2hSlLOBkg7H7MZJ6m/dlLOx2w1J/V8VWnQoAFc\nXV1hYWEBV1dXXLt2Daampli8eDFKS0uRmpqK999/H927d4dSqdTdT6lUws7ODnK5XLddqVTC3t6+\nwrby2ytTXFxct0/wMUk5n5SzAdLOJ+Vsj8roGm9fX1+xIxDRQ2K9Ej0aX19ffPvtt3jxxReRm5uL\nZs2a4bfffoOpqSlycnLw9ttvY968ecjLy8Mnn3yC0tJSqFQqpKWlwcPDAz4+Pjh8+DC8vb0RExMD\nX19fyOVymJubIysrC05OTjhy5Ahef/31Sh+biB6P0TXeRERExqpfv344efIkRo8eDUEQsHDhQpia\nmt53O0dHR0RERCA8PByCIGDatGmwtLREWFgYZs2ahbCwMJibm2PVqlUAgHfffRczZsyARqOBn58f\nOnXqpO+nRlQvyIR7p0ATEREREVGd4awmRERERER6YBRDTbRaLRYvXoyUlBRYWFhg6dKlaNWqldix\nKhg5cqTurPGWLVti+fLlIicC4uPj8dFHHyEyMhKZmZmYPXs2ZDIZ2rRpg0WLFsHERLzvZeWzJSYm\n4pVXXkHr1q0BAGFhYRgyZIgoudRqNebOnYvLly9DpVJh8uTJcHd3l8RrV1m25s2bS+a1K0/qNct6\nfbx8UqlZKddrVfmkWLOs15qRcs1KsV4BaddsrdWrYAT27t0rzJo1SxAEQfjnn3+EV199VeREFZWU\nlAiBgYFix6jgiy++EIYNGyaMGTNGEARBeOWVV4S///5bEARBWLBggbBv3z7JZIuOjhY2btwoWp7y\ntm/fLixdulQQBEEoLCwU+vTpI5nXrrJsUnrtypNyzbJeH51Ua1bK9VpVPqm8duWxXh+dlGtWqvUq\nCNKu2dqqV6MYalJ+QYDOnTsjISFB5EQVJScn486dO5gwYQLGjRuHM2fOiB0Jzs7OWLdune7y+fPn\n0a1bNwB3F1UQc/GE/2ZLSEjAoUOHMHbsWMydOxcKhUK0bIMGDcKbb74JABAEAaamppJ57SrLJqXX\nrjwp1yzr9dFJtWalXK9V5ZPKa1ce6/XRSblmpVqvgLRrtrbq1Sga7/9O/m9qaoqysjIRE1VkZWWF\niRMnYuPGjbozx8XOFxAQADOz/x9pJAgCZDIZgP9fVEEs/83m7e2Nd955B99//z2cnJzw2WefiZbN\n1tYWcrkcCoUCb7zxBt566y3JvHaVZZPSa1eelGuW9fropFqzUq7XqvJJ5bUrj/X66KRcs1KtV0Da\nNVtb9WoUjfd/J//XarUV/qjE5uLigueeew4ymQwuLi5o0KAB8vLyxI5VQfnxUtUtniCGgQMHwsvL\nS/f/iYmJoua5evUqxo0bh8DAQAwfPlxSr91/s0nttbtHyjXLen18Uvq7k3K9AoZRs6zXxye1v7vy\npPY3J+WarY16NYrG28fHBzExMQCAM2fOwMPDQ+REFW3fvh0ffPABAOD69etQKBRwdHQUOVVFHTp0\nQGxsLAAgJiYGXbt2FTnR/5s4cSLOnj0LADh+/Dg8PT1Fy5Kfn48JEyZg5syZGD16NADpvHaVZZPS\na1eelGuW9fr4pPJ3J+V6rSqfVF678livj09Kf3f/JaW/OSnXbG3Vq1HM433vjOsLFy5AEAQsW7YM\nbm5uYsfSUalUmDNnDq5cuQKZTIYZM2bAx8dH7Fi6Vc6io6ORkZGBBQsWQK1Ww9XVFUuXLq10UQYx\nsp0/fx5LliyBubk5mjRpgiVLllT42VOfli5dit27d8PV1VW3bd68eVi6dKnor11l2d566y2sXLlS\nEq9deVKuWdbr4+eTSs1KuV6ryifFmmW91oyUa1aK9QpIu2Zrq16NovEmIiIiIpI6oxhqQkREREQk\ndWy8iYiIiIj0gI03EREREZEesPEmIiIiItIDNt5ERERERHrAxpuIiIiISA/YeBMRERER6QEbbyIi\nIiIiPWDjTURERESkB2y8iYiIiIj0gI03EREREZEesPEmIiIiItIDNt5ERERERHrAxpuIiIiISA/Y\neBMRERER6QEbbyIiIiIiPWDjTURERESkB2y8iYiIiIj0gI03EREREZEesPEmIiIiItIDNt5ERERE\nRHrAxpuIiIiISA/YeBMRERER6QEbbyIiIiIiPWDjTURERESkB2y8iYiIiIj0gI03EREREZEesPEm\nIiIiItIDNt5ERERERHrAxpuIiIiISA/YeBMRERER6QEbbyIiIiIiPWDjTURERESkB2y8qUpRUVF4\n7rnnMGTIEAwdOhQzZ87ElStXHni/+fPnIyEhocaPW1RUhHHjxtX4/kRiqGm9AIZVM7t27UJgYGCF\nbaGhoejVqxcEQdBte/nll/H9998/0r79/f1x7ty5WslJdI9Go8HXX3+NUaNGITAwEEOGDMHKlSuh\nUqlqvM/9+/dj6dKlAIBDhw5hzZo1D7xPREQE9uzZU+X1u3fvxpgxYzBo0CAMHz4cU6ZMQUpKykPl\n+fTTT/Hnn38+XPgqTJgwAQUFBfdtj42Nhbe3NwIDA3X/DRgwAK+++ioKCwsfuN/y72/z5s3DsWPH\nHiunoWPjTZVasWIF9u3bh88//xy7du3Czp070bNnT4SEhODatWvV3vfYsWMVPoAf1a1bt/jhSwbl\nceoFMKya6dmzJ9LS0nDz5k0AQEFBAXJzc9G4cWNdBrVajZMnT6Jv3756yURUncWLF+Off/7B5s2b\n8csvv2D79u3IyMjAvHnzarzP/v37Y/78+QCAc+fO4datW4+V8bvvvsMXX3yB5cuXY8+ePdi5cyeC\ng4MxYcIEJCUlPfD+sbGxKCsre6wMR48erfI6Z2dn/PLLL7r/9u7dCxMTE2zatOmB+y3//vb+++/j\nmWeeeaycho6NN93n2rVr2Lp1Kz755BM0b94cAGBiYoIRI0YgICAAn3/++X1Hpu5dXr16NXJzczFj\nxgzEx8cjIiICixcvxujRo9G/f3+sXbsWAJCTk4MuXbro7l/+8pw5c1BSUoLAwEBoNBo9PnOiR/cw\n9QLcfzRXXzUze/ZszJkzB8HBwRgwYAAWLVoEtVoNAEhLS8OECRN0RwK3b98O4O6H+HPPPYfQ0FA8\n99xzFY4MOjg4wMvLC6dOnQJw92hfz5490bdvXxw4cAAAcPbsWbRo0QItWrSAWq3GkiVLMGTIEAwf\nPhzz5s2DQqHQvQZvvfUWBg8ejD/++EP3GEqlEmPHjsXKlSsBANevX8eUKVMwatQoDB8+HBs2bNC9\nBn369MGECRMQEBCA3Nzcmv9DklHKzs7Gzp07sWzZMtjZ2QEAbGxs8O6772LgwIEAgIyMDLz44osI\nCQlBv379MHnyZJSWlgIAOnTogBUrVmDUqFEYNGgQ9u3bBwDYsWMHXnnlFcTHx2Pr1q3YtWsXVq9e\njeLiYrzzzjsIDg5GQEAARo0ahfT09GozqlQqrF69Gh999BHc3d112/v06YNJkyZh9erVAO4/Yn7v\n8vfff4+EhAR8+OGH+OOPP6qt+bZt21Y4qn3v8pw5cwAA48ePx9WrVx/4uioUChQUFMDBwQEAcObM\nGYwdOxZjxoxB3759MXfuXACo9P3t3nP4888/MWLECAwfPhxhYWE4e/bsAx/XGLDxpvvEx8fD1dVV\nV1DlPfPMM4iLi6vyvtOmTUPTpk3x0UcfoVOnTgCAK1euICoqCj/99BN27dqFgwcPVvv4y5cvh5WV\nFX755ReYmpo+3pMhqmOPUy+AfmomOTkZX3/9NXbt2oW0tDRs27YNZWVleOONNzB9+nTs2LED3333\nHTZt2oQzZ84AAC5evIhVq1bh119/hYWFRYX99e7dG7GxsQCAgwcPom/fvhUa7+PHj6NPnz4AgP/9\n73/Izc3VHSnTarX48MMPdftq06YNdu/erWuCFAoFJk6ciD59+mDmzJkAgJkzZyIoKAg7duzA9u3b\ncezYMezatQvA3S8+r732Gvbu3YumTZtW+zpR/ZOYmAh3d3fI5fIK2x0dHfHss88CAKKjozFixAhs\n27YN+/btQ05ODg4dOgTg7jAVBwcH7NixA5988gnmzp1boXHt1KkTQkNDMWTIEEybNg0xMTGwt7dH\ndHQ09u7dCy8vrwcOubpw4QLMzc3h5uZ233U9evR44HvI2LFj4eXlhXfeeUdXR5XVfHWWL18OANi8\nebPuAEJ5WVlZCAwMxLBhw9CjRw+88MIL8Pf3x/jx4wEA3377Ld544w388MMP+P3333HgwAEkJCRU\n+v4G3P3Sv2jRIqxbtw47d+7EG2+8gddee033pdyYmYkdgKSpqp+sVCoVZDLZI+0rJCQE5ubmMDc3\nx6BBg3DkyBG0adOmNmISSUJt1gtQ+zUzcuRI2NraAgACAwOxf/9+dO/eHVlZWbojUwBQUlKCxMRE\nuLm5oXnz5mjRokWl++vduzfmzZsHlUqFU6dO4cMPP4SlpSXy8/ORn5+P2NhYvPHGGwCAmJgYTJs2\nDebm5gDuHqWbMmWKbl9du3atsO+ZM2fCzMxMN2a9uLgYJ0+exK1bt3TjaIuLi5GcnAxvb2+YmZmh\nc+fONX5tyLiZmJhAq9VWe5uZM2fi6NGj+PLLL3Hp0iXk5uaiuLhYd/3zzz8PAGjXrh08PDxw8uTJ\nKvc1aNAgODk5ITIyEpmZmThx4kSFX6qqUtvvIZXV/L3nURP3hpoAwI8//ojVq1ejf//+urr+4IMP\nEBMTgw0bNiA9PR0lJSUVXsP/+vvvv9G9e3c4OTkBuPsFo1GjRkhISED37t1rnNMQsPGm+3Tu3BmZ\nmZnIy8uDo6NjhetiY2PRpUsXxMTEVBiTWt1JKmZm//9nJggCTExMIJPJKtz/3s9gRIbmYerlHrFq\npvxR8Hv702g0sLe3132YAkB+fj7s7Oxw5swZ2NjYVLk/T09P3LhxA3/++Se8vLxgbW0NAOjVqxeO\nHj2K9PR03fP+b9Oj1WorZP/v40yePBmxsbFYuXIlFixYAK1WC0EQsHXrVt3jFBQUwNLSEoWFhbCw\nsKjwehGV5+3tjfT0dCgUigpHva9fv44FCxZg7dq1mD17NjQaDQYPHoy+ffvi6tWrFWqtfP1otdpq\nf4ndsmULoqOjMXbsWAwfPhwNGjRATk5OhdtERUVh69atAAAvLy8sXLgQAJCUlIT27dtXuG117yHV\nvQdUVvP/VdOTS4OCghAfH4+3334bP/74I8zMzDB27Fi0a9cOvXr1wuDBgxEfH1/teSuVXScIwmOP\nUzcEHGpC92nWrBkiIiLw9ttv4/r167rtP/74I/bt24dJkybpvpkCd8d25eXl6W5nampaoXh+/fVX\naLVa3Lp1C7t374a/vz/s7e2hVquRmpoKABXGd5qZmUGj0TzWyWZE+vIw9QJA1HBCt3wAACAASURB\nVJrZvXs3VCoVSktL8dNPP6Ffv35wcXGBpaWlrvG+evUqhg0b9lCzq8hkMvTs2RMbNmyocAJl3759\nsWnTJnTr1k3XDPfq1Qtbt26FWq2GVqvF999/j549e1a5b29vbyxevBh79uzBkSNHIJfL0blzZ3z9\n9dcAgNu3byMsLAz79+9/YE6iZs2aYfjw4Zg7d65uGINCocDixYvRoEEDWFlZ4ciRI5gyZQqGDBkC\nmUyG+Pj4CudK/PzzzwCA8+fPIyMjA0899VSFxyhfv0eOHMHIkSMxZswYuLi44MCBA/eddxEWFqYb\nevX+++/D0tISM2bMwDvvvIO0tDTd7Q4dOoSNGzfizTffBFDxPSQrK6vCjCf/fQ+prObv7ePeuSbl\n30Mq20d1pk+fjtzcXHz33Xe4desWEhISMGPGDDz77LO4fv06srKydF+6K9tv9+7dcfToUWRnZwO4\nOzzt6tWrFYajGCseJqBKTZ8+HT/88AMmT54MlUoFlUqFjh07YuvWrWjRogVmzJiBxYsXY9u2bfD0\n9ISnp6fuvgMGDMC0adN0Uy2VlJRg9OjRUCqVCA8PR48ePQDc/XnvXhM/aNAg3f0dHR3RoUMHDB48\nGFFRUWjYsKF+nzzRI3pQvQAQtWasrKwQHh6O27dvIyAgAEFBQTAxMcH69evx/vvv46uvvkJZWRne\nfPNN+Pr66sZvV6d37974+eefdR/oAODn54eZM2fixRdf1G2bPHkyVqxYgREjRqCsrAze3t5YsGBB\ntftu1KgRFi1ahLlz52Lnzp346KOPsGTJEgwfPhwqlQrDhg3Dc889d9+RRKLKLFq0COvXr0doaChM\nTU2hUqkwYMAATJ06FcDd8yymTJkCBwcHWFtb46mnnkJWVpbu/qdPn0Z0dDS0Wi1Wr1593/kcPXr0\nwNSpU2Fubo4JEyZg4cKF2LFjB0xNTeHp6YkLFy48MGNoaCiaNGmC+fPn4/bt2ygrK4OLiws2bdqk\nOwo+efJkzJ49G4cPH4arq2uFYVr9+vXDihUrdEfBK6t54O7Ufu+99x7s7e3xzDPPVPiVbuDAgQgP\nD8f69evh4eFRbV4HBwfMmDEDy5cvx7Bhw/Dyyy9j5MiRaNCgARo2bAgfHx9kZmaiR48e972/AYC7\nuzsWLVqE119/HRqNBlZWVtiwYYPuBFhjJhN4WJHqUEREBMaOHVuhSSCiqtV2zcyePRtt2rTBxIkT\na2V/RPVJ27Ztcfz4cTRq1EjsKA+NNS9tHGpCRERERKQHPOJNRERERKQHPOJNRERERKQHbLyJiIiI\niPSAjTcRERERkR4Y3XSCD1palag+8vX1FTtCpVivRPdjvRIZjketV6NrvAHpvmlVtiqVlEg5H7PV\nnNQ/LKVar4C0/22ZreaknI/1WnNS/neVcjZA2vmknK0m9cqhJkREREREesDGm4iIiIhID9h4ExER\nERHpARtvIqqWSqXC9OnTERwcjAkTJuDSpUv33ebOnTsIDQ1FWloaAECr1WLhwoUICQlBREQEMjMz\n9ZyaiIhIeth4E1G1oqOjYWNjg+joaMyfPx9LliypcP25c+cwduxYZGdn67b9+eefUKlU2LZtG6ZP\nn44PPvhA37GJqJwHfYE+cOAAgoKCEBISgujoaHFCEtUDbLyJqFqpqano3bs3AMDV1VV3VPselUqF\nzz77DK6urrptcXFx6NWrFwCgc+fOSEhI0F9gIrpPdV+g1Wo1li9fjk2bNiEyMhLbtm1Dfn6+iGmJ\njJdRTidIRLWnffv2OHjwIAYMGID4+Hhcv34dGo0GpqamACqfXkyhUEAul+sum5qaoqysDGZm97/l\nJCUl1V34x1RSUiLZfMxWc1LPVxeq+wKdlpYGZ2dnODg4ALhb0ydPnsTgwYNFyUpkzNh4E1G1goKC\nkJaWhvDwcPj4+MDT01PXdFdFLpdDqVTqLmu12kqbbgCSnZ8VkPb8scxWc1LOV1fzeFf3BVqhUMDO\nzk53W1tbWygUikr3I+UvLFL+QiXlbIC080k5W02w8Saiap07dw49evTA3Llzce7cOVy5cuWB9/Hx\n8cHBgwcxZMgQnDlzBh4eHnpISkRVqe4L9H+/KCuVygqNeHlS/cICSPsLlZSzAdLOJ+VsNfmizMab\niKrVqlUrrFmzBhs2bICdnR3ef/997Ny5E8XFxQgJCan0PgMHDsTRo0cRGhoKQRCwbNkyPacmovKq\n+wLt5uaGzMxM3Lx5EzY2Njh16hQmTpwoYloi48XGm8iIHUzOhf1j7qNRo0b45ptvKmwbPnz4fbeL\njIzU/b+JiQnee++9x3xkovolPa/y4R214UFfoGfPno2JEydCEAQEBQWhWbNmle5HVaaFhRnnZSCq\nKTbeREYqPvsmXvzmJH4c84TYUYjoISz69Tze6lw3H8sP+gLt7+8Pf3//B+5n87FLmNTb9YG3I6LK\n8WsrkZH6aF8KGtqYix2DiB5CmUaL05mFYsd4oPWHUlFUohY7BpHBYuNNZIT+Tr+Bvy7m47W+7mJH\nIaKHkHK9CEqVRuwYD1RYrMamI5fEjkFksNh4ExkZQRDw0d4UNLO3RESPVmLHIaKHEGcAR7sBIMCz\nGb76Kx2FSpXYUYgMEhtvIiNz6EIeTmUW4nX/NrAyr36+bSKShrjMQjS1sxQ7xgNNf7YtFKoybIhJ\ne/CNieg+bLyJjIggCFi1LwVOjawR0tVJ7DhE9JBOXSpE19YNxY7xQB7N7DCicwtsPnYJubdLxI5D\nZHDYeBMZkT0J15Bw+Tbe6u/BKb+IDMS1WyW4fPMOfFs1EjvKQ3lrQBuUaQR8ejBV7ChEBoefzERG\nQqMVsOqPC3BvKseILi3EjkNED+ne+G7fVtI/4g0ArRrbIvgpJ0SdyEJ2QbHYcYgMChtvIiPx8z+X\nkZqrwPSBHjA1kYkdh4geUlxmIazMTeD55OMud6U/b/i3gUwmw5r9F8WOQmRQ2HgTGQFVmRaf7L8A\nrxb2GOTFBXOIDElcZgG8WzaAuanhfCQ/4WCFcd1bYcfpHKTm1t2Km0TGxnCqnIiqFH0qG9kFdzD9\n2baQyXi0m8hQ3FFpcP7KbXQ1kGEm5U3u6wZrc1Os/uOC2FGIDAYbbyIDV6LWYN2Bi3iqdUP09XAU\nOw4RPYL4nJso0woGM767vMZyS0z0c8Hv564i4fItseMQGQQ23kQGLvJ4Jq7fLsUMHu0mMjj3Tqz0\ncTa8xhsAXurtCgdrc6zalyJ2FCKDwMabyIApSsvwv8Np6NWmCZ52bSx2HCJ6RHGZhXBztEVDWwux\no9SIvZU5Xu3jhoMpeTh1qUDsOESSV2eNd3x8PCIiIipsW7ZsGaKionSXly5dilGjRiEiIgIREREo\nKipCSUkJpk6divDwcEyaNAkFBXcL+cyZMxgzZgxCQ0Px6aef1lVsIoOy6UgGCpQqzAxoK3YUInpE\nWq2AuMxCdDWQ+burMv6ZVnC0s8TKvSkQBEHsOESSVieN95dffon58+ejtLQUAFBQUICXXnoJBw4c\nqHC78+fP46uvvkJkZCQiIyNhZ2eHqKgoeHh4YMuWLRgxYgTWr18PAFi0aBFWrVqFqKgoxMfHIzEx\nsS6iExmMAqUKX8akI8CzGbxbNhA7DhE9ovR8BW7dURvk+O7ybCzM8Ho/d8RmFODwhTyx4xBJWp00\n3s7Ozli3bp3uslKpxNSpUxEYGKjbptVqkZmZiYULFyI0NBTbt28HAMTFxaFXr14AgN69e+P48eNQ\nKBRQqVRwdnaGTCaDn58fjh07VhfRiQzGZwdToVSV8Wg3kYE6denfhXMMYKn4Bwnr5gynRtZYsScF\nWi2PehNVxawudhoQEICcnBzdZScnJzg5OSEmJka3rbi4GM8//zxefPFFaDQajBs3Dl5eXlAoFLCz\nswMA2NraoqioCAqFAnK5XHdfW1tbZGdnV/n4SUlJdfCsHl9JSYlkswHSzsdsFV1XqLH5WDYGuttB\nfSMHSTf0+vBEVAviMgvR0MYcrk1sxY7y2CzMTDDj2bZ4c+sZ7Dx7BYGduXouUWXqpPF+GNbW1hg3\nbhysra0BAN27d0dycjLkcjmUSiWAu0fK7e3tK2wrv70q7du3r9vwNZSUlCTZbIC08zFbRV9Gn4Gp\niQkWj34KzR2sq71tXFycnlIR0aOIyyyEb6uGRjMb0XDvJ/H54XSs3JuCQV5PwNLMVOxIRJIj2qwm\nly5dQlhYGDQaDdRqNU6fPg1PT0/4+Pjg8OHDAICYmBj4+vpCLpfD3NwcWVlZEAQBR44cQdeuXcWK\nTiSq5Gu38dM/l/HCM60f2HQTkTQVKFVIz1fC18BPrCzPxESGWYPbIafwDrbEZokdh0iSRDvi7ebm\nhsDAQAQHB8Pc3ByBgYFo06YNWrZsiVmzZiEsLAzm5uZYtWoVAODdd9/FjBkzoNFo4Ofnh06dOokV\nnUhUK/ekwM7SDJP7uokdhYhq6N783YZ+YuV/9W7TBM+4Nca6A6kY7dsSdlbmYkcikpQ6a7xbtmyJ\n6OjoCtumTp1a4fJLL72El156qcI2a2trrF279r79de7c+b79EdU3JzIKsD85F7MGtUMDG8Oc95eI\n7jbe5qYyeLd0EDtKrZLJZJg1qB0CPzuKL//KwNsDPcSORCQpXECHyEAIgoAPdiehmb0lXnimtdhx\niOgxxGUWwPNJB1iZG9846E5ODTC0Y3N89Vc68opKxY5DJClsvIkMxB+J13E66yamDfCAtYXxfVgT\n1RelZRrE59xCVyMbZlLejIC2KC3TYt2Bi2JHIZIUNt5EBqBMo8WHe1Pg5miL0b4txY5DRI/h/JXb\nUJVpjW58d3kuTWwR+pQTtsRm4VK+8sF3IKon2HgTGYAdpy8jNVeBmQFtYWbKsiUyZHGXjPPEyv96\ns38bmJuaYNUfF8SOQiQZ/AQnkrgStQYf/3EBnZ0aIMDzCbHjENFjissshFMjazS1txI7Sp1qam+F\niX4u2Bl/Bedybokdh0gS2HgTSdzmY5dw7XYJZg9uZzQLbRDVV4Ig4FRmIboa0fzd1Xm5jysa2pjj\nw73JYkchkgQ23kQSdqtYjfWH0tCvrSO6uzYWOw4RPabsgjvIV5TCx8iHmdxjb2WO1/3b4K+L+fjr\nYp7YcYhEx8abSML+dzgNt0vUeGdQO7GjEFEtOJVZAABGPaPJfz3f3RktGlhjxZ5kaLWC2HGIRMXG\nm0iiLt+8g6+PZmBk5xZo39xe7DhEVAviMgthZ2kGj2Z2YkfRG0szU0x/1gMJl29j59krYschEhUb\nbyKJWrU3BQKA6QFtxY5CRLUkLrMQnZ0bwNSkfp2vMaJzC3g+aY8P96SgRK0ROw6RaNh4E0lQwuVb\n+OnMZUzo6YIWDazFjkNEteB2iRop14vqzYmV5ZmYyDBvSHtcvnkH3xy7JHYcItGw8SaSGEEQsGxX\nEhpYm+O1fm5ixyGiWvJP1k0Igjjzd6vVakyfPh2hoaEIDw9HWlpaheu/+eYbDB06FBEREYiIiEB6\nenqtZ3jGvQn6t2uKzw6kokCpqvX9ExkCNt5EEnMoJQ/H0m7gzf5tYG9lLnYcIqolcZcKYCIDOjs3\n0PtjHz58GGVlZdi6dSumTJmCTz75pML1CQkJWLFiBSIjIxEZGQlXV9c6yTF7cDsoVWVYu59LyVP9\nZCZ2ACL6f2UaLZbtSoJLE1uEP91K7DhEVIv+ziiA55MOkFvq/6PXxcUFGo0GWq0WCoUCZmYVM5w/\nfx5ffPEF8vLy0LdvX7zyyiuV7icpKemxswxqY4fI45fg10yDFva1d3ChpKSkVvLVBSlnA6SdT8rZ\naoKNN5GE/BCXg4u5Cmx43gcWZvxBishYlKg1OJN9E+O6i/OF2sbGBpcvX8bgwYNRWFiIDRs2VLh+\n6NChCA8Ph1wux+uvv46DBw+iX79+9+2nffv2j51lcUsXHF55CNsvqLEhwvux93dPUlJSreSrC1LO\nBkg7n5SzxcXFPfJ9+MlOJBHK0jKs2ncBXVs15NLwREbmTPZNqMq0eFqkhbC++eYb+Pn5Ye/evfjl\nl18we/ZslJaWArh7Xsn48ePRqFEjWFhYoE+fPkhMTKyzLE3trPBqHzfsOX8Npy4V1NnjEEkRG28i\nifgiJh35ilLMHdqeS8MTGZnY9ALIZEC31uLMaGJvbw87u7tzhzs4OKCsrAwazd1p/RQKBYYNGwal\nUglBEBAbGwsvL686zfNSL1c0s7fE0t+TIAhcVIfqDzbeRBJw/XYJvohJx1Dv5vBxrj8r2hHVF7EZ\nN9DuCXs42IhzwvQLL7yA8+fPIzw8HOPHj8e0adOwf/9+bNu2DXZ2dpg2bRrGjRuH8PBwuLu7o0+f\nPnWax9rCFNOfbYsz2Tfx+7mrdfpYRFLCMd5EErD6jwso02oxK4BLwxMZG1WZFqezChH6lLNoGWxt\nbbFmzZoqrx8xYgRGjBihx0RAkE9LbDqSgRV7kjGwQzNYmpnq9fGJxMAj3kQiS7lWhOhT2RjXozWc\nG9uIHYeIatnZnJsoUWvR3bX+LZxTHVMTGeYNbY/sgjuIPJ4pdhwivWDjTSSy5buTILc0w1R/d7Gj\nEFEdiM24ewJhNxdxTqyUsl5tHNHHwxHrDqTiZjEX1SHjx8abSERHLubjUEoepvq3QQMbC7HjEFEd\n+Dv9BjyaydHIljVemTlD2qGoRI1PD6SKHYWozrHxJhKJRitg6e+JaNnQGuOe4WI5RMZIrdEiLrMQ\n3UWaRtAQtHvCHmN8nbD5+CVcyleKHYeoTrHxJhLJtpPZSL5WhDmD2/OkIiIjlXD5FopVGjzNYSbV\nmh7gAQtTEyzbZTwrFBJVho03kQhul6ixal8KnmrdEEM6crEcImP1d/q98d08sbI6Te2sMMXfHfsS\nr+NYar7YcYjqDBtvIhF8djAVBcUqLBzmycVyiIxYbMYNuDnawtHOUuwokjehpwtaNrTGe78lQqPl\nojpknNh4E+lZ5g0lvj5yCUE+LdGxpYPYcYiojpRptDh1qVC0ZeINjZW5KeYOaY/ka0XYdjJb7DhE\ndYKNN5GeLd+VDDNTGWYGtBU7ChHVocSrt6EoLcPTHGby0AZ7PYFurRth1b4U3C5Rix2HqNax8SbS\no+NpN7Dn/DW81tcNzeytxI5DRHUo9t/x3ZzR5OHJZDIsGNYBBcUqfMbpBckIccl4Ij3RaAUs+S0R\nLRpY46VermLHeWgqlQpz5sxBdnY25HI5Fi5ciNatW+uuP3DgAD777DOYmZkhKCgIwcHBAICRI0dC\nLpcDAFq2bInly5eLEZ9INLEZN9C6sQ2/ZD+iji0dMNqnJTYdzUBYN2e0bmIrdiSiWsPGm0hPtsdl\nI/HqbawL6wIrc8OZPjA6Oho2NjaIjo5Geno6lixZgo0bNwIA1Go1li9fju3bt8Pa2hphYWHw9/eH\nnZ0dBEFAZGSkyOmJxKHRCjiRUYDBXs3FjmKQZga0xe/nrmL57iR8HtFV7DhEtYZDTYj0oKhEjZV7\nL8C3VUMM8zasD+LU1FT07t0bAODq6oq0tDTddWlpaXB2doaDgwMsLCzg6+uLkydPIjk5GXfu3MGE\nCRMwbtw4nDlzRqz4RKJIvnYbt0vK8LQrx3fXRFN7K0zp546956/jWBqnFyTjwSPeRHqw/lAa8hWl\n+Gp8V4ObPrB9+/Y4ePAgBgwYgPj4eFy/fh0ajQampqZQKBSws7PT3dbW1hYKhQJWVlaYOHEixowZ\ng0uXLmHSpEnYs2cPzMzuf8tJSpLughklJSWSzcdsNaePfL8m3gIANNYUIimpqE4fy1hN9HPBltgs\nvLczEb+/0QumJob13klUGTbeRHUsu6AYG//KwKguLdDZqYHYcR5ZUFAQ0tLSEB4eDh8fH3h6esLU\n9O5QGblcDqXy/5d4ViqVsLOzg4uLC1q1agWZTAYXFxc0aNAAeXl5aN78/qP97du319tzeVRJSUmS\nzcdsNaePfJ+cOgWnRtbo81THR7pfXFxcHSUyPFbmppgzpB1e3/IPok9lI6ybs9iRiB4bh5oQ1bHl\nu5NgaiLDzEGGOX3guXPn0KNHD0RFRWHQoEFwcnLSXefm5obMzEzcvHkTKpUKp06dQpcuXbB9+3Z8\n8MEHAIDr169DoVDA0dFRrKdApFfaf8d3c5n4xze0Y3N0bdUQH+3l9IJkHNh4E9Wh2PQb2HXuGl7t\n44bmDtZix6mRVq1aYfPmzQgJCcGaNWswe/Zs7Ny5E9u2bYO5uTlmz56NiRMnIjQ0FEFBQWjWrBlG\njx6NoqIihIWFYdq0aVi2bFmlw0yIjNHFXAUKi9Wcv7sWyGQyLBzeATeUnF6QjAM/CYnqiEYr4N2d\niWjuYIWXexvO9IH/1ahRI3zzzTcVtg0fPlz3//7+/vD3969wvYWFBVatWqWPeESS83f6DQCcv7u2\neLdsgNG+d6cXDHnKCa6OcrEjEdUYj3gT1ZGoE1lIvHob84a2h7WF4UwfSESPJzbjBp50sELLhob5\nK5cUvTOoLSzNTPHeb4kQBEHsOEQ1xsabqA7cLFbho30p6O7aCEM7Gtb0gURUc4Lw7/hu18YGN4OR\nlDW1s8Kb/dvgUEoeDiTnih2HqMbYeBPVgVX7LuD2HTUWP+fJD1+ieiQtT4F8hYrju+vA+Gdaw83R\nFu/9logStUbsOEQ1wsabqJYlXrmN72MzEdG9Fdo9YS92HCLSo7/TCwAAT3N8d62zMDPBouGeyLxR\njI1HMsSOQ1QjddZ4x8fHIyIiosK2ZcuWISoqSnc5Ojoao0aNQnBwMA4ePAjg7sIGU6dORXh4OCZN\nmoSCgrtvYmfOnMGYMWMQGhqKTz/9tK5iEz0WQRCweOd5OFibY9pAD7HjEJGexWYUoKmdJVo3thE7\nilHq7eGIZzs0w6cHUnH11h2x4xA9sjppvL/88kvMnz8fpaWlAICCggK89NJLOHDggO42eXl5iIyM\nxNatW7Fx40Z8/PHHUKlUiIqKgoeHB7Zs2YIRI0Zg/fr1AIBFixZh1apViIqKQnx8PBITE+siOtFj\n+e3sVZzIKMCMgLZoYGMhdhwi0iNBEBCbfoPju+vY/KEdoBEELN+VLHYUokdWJ423s7Mz1q1bp7us\nVCoxdepUBAYG6radPXsWXbp0gYWFBezs7ODs7Izk5GTExcWhV69eAIDevXvj+PHjUCgUUKlUcHZ2\nhkwmg5+fH44dO1YX0YlqrFhVhmW7kuD5pD1Cn+IKa0T1zaUbxcgtKkV3V47vrkvOjW3wam9X/Bp/\nBbH/Tt1IZCjqZB7vgIAA5OTk6C47OTnByckJMTExum0KhQJ2dna6y7a2tlAoFBW229raoqioCAqF\nAnK5vMJts7Ozq3z8pKSk2nw6taakpESy2QBp5zOEbJtPF+DqrRJMf6YRLqTwSAxRfXNv/m6uWFn3\nJvd1x/a4HCz69Tx+m+oHM1OeskaGQbQFdORyOZRKpe6yUqmEnZ1dhe1KpRL29vaV3tbevuqT1tq3\nb193wR9DUlKSZLMB0s4n9Ww2TZ2xI/ESRnR+EqP7dBE7UgVxcXFiRyCqF46m5qOZvSXcHG3FjmL0\nrC1MMW9oB0zZchpRJ7IQ0aO12JGIHopoXxG9vb0RFxeH0tJSFBUVIS0tDR4eHvDx8cHhw4cBADEx\nMfD19YVcLoe5uTmysrIgCAKOHDmCrl27ihWd6D5LfkuCmakMc4ZI88sBEdUtrVbAsbQb6OnehOO7\n9WRIxyfQw7UxPtp3AYVKldhxiB6KaEe8HR0dERERgfDwcAiCgGnTpsHS0hJhYWGYNWsWwsLCYG5u\nrlt2+t1338WMGTOg0Wjg5+eHTp06iRWdqIJTl4vxZ9J1zBrUDs3srcSOQ0QiSLx6GwVKFfzcm4gd\npd6QyWRY/Jwnhqz9Cx/tS8Hz7URraYgeWp39lbZs2RLR0dEVtk2dOrXC5eDgYAQHB1fYZm1tjbVr\n1963v86dO9+3PyKxqcq0+PzEDbg0scUEv9ZixyEikRxNzQcA9GTjrVdtn7BDRPdW2Hz8Ero7tgB/\ncySp49kIRI/h66MZyLmtxoJh7WFpZip2HCISyZHUfHg0k/NXLxFMG+CBRjYW+F9sPrRaQew4RNVi\n401UQ1dv3cGa/RfxdEsb+LdrJnYcIhJJiVqDExkFkj7arVarMX36dISGhiI8PBxpaWkVrj9w4ACC\ngoIQEhJicL8uO9iYY9bgdkjMK8X20zkPvgORiNh4E9XQkt8SodEKeLUbpw4jqs9OZxaitEwr6fHd\nhw8fRllZGbZu3YopU6bgk08+0V2nVquxfPlybNq0CZGRkdi2bRvy8/NFTPvoRvu0RAdHS3ywOxk3\ni3miJUkXG2+iGoi5kIdd567h9X7ueMLOXOw4RCSiI6n5MDOR4WlX6X4Jd3FxgUajgVarhUKhgJnZ\n/5/ilZaWBmdnZzg4OMDCwgK+vr44efKkiGkfnYmJDFO6N8HNYhVW7k0ROw5RlXgKMNEjKi3TYNGv\n5+HSxBYv93FF+sULYkciIhEdSc1HF+cGkFtK9yPVxsYGly9fxuDBg1FYWIgNGzborqtqQbvKSHUh\nMwB40kbA8Hb22BKbhaealKFtE+mMt5fyInCAtPNJOVtNSPddgkiivjicjox8Jb6d0I0nVBLVczeL\nVTh3+Rbe7N9G7CjV+uabb+Dn54fp06fj6tWrGD9+PHbu3AlLS8sqF7SrjFQXMgPufilYEuKFY6sO\nY1O8Ej+91hmmJtKYU13Ki8AB0s4n5Ww1WaCOQ02IHkF2QTE+PZiKIR2fQG8PR7HjEJHIjqfdgCBA\n0uO7AcDe3l7XTDs4OKCsrAwajQYA4ObmhszMTNy8eRMqlQqnTp1Cly7SWoH3YdlbmWP+0PY4m3ML\nW05kiR2H6D484k30CN7deR6mJjIsGNZB7ChEJAF/peZDbmmGTk4NxI5SrRdeeAFz585FeHg41Go1\npk2bhv3796O4uBghISGYPXs2Jk6cCEEQEBQUhGbNDHempuc6PYmtJ7KxT6+cpgAAIABJREFUck8y\nBns9gSZyS7EjEemw8SZ6SH8mXsefSbmYM7gdmjtYix2HiCTgaGo+urs2grmptH9AtrW1xZo1a6q8\n3t/fH/7+/npMVHdkMhmWjPDE4DV/4YPdyfhoDFe6JumQ9jsFkUTcUWmweOd5tGkqxwQ/F7HjEJEE\nZBcUI/NGsaTn766v3JvaYaKfK7bH5eDUpQKx4xDpsPEmegjrD6Uip/AO3gv0kvyRLSLSj3vLxPdq\nw8Zbit7o744nHaww/+cElGm0YschAsDGm+iBMvKV+PxwOkZ0fhI93KQ7Ty8R6ddfqfloZm8JN0e5\n2FGoEjYWZlg4vAOSrxVh8/FMseMQAWDjTVQtQRCw8JcEWJqZYO5QaU5nRET6p9UKOJaaj57uTSCT\nSWPKOrpfgOcT6OPhiNV/XMD12yVixyFi401UnV3nruGvi/l4+1kPNLWTzmIMRCSuxKu3UVis5jAT\niZPJZHj3OU+oNFq891ui2HGI2HgTVeV2iRqLd56H55P2iOjeSuw4RCQhR/4d393TjY231LVuYovX\n+7nj97NXcTAlV+w4VM+x8Saqwso9KbihKMXyUR1hxhMqiaico6n58GgmR1N7/hJmCF7p4wo3R1ss\n+DkBd1QaseNQPcZugqgS/2QV4rvYTIzr0RreLaW9MAYR6VeJWoMTGQWcRtCAWJqZYtnIjsgpvIM1\n+y+KHYfqMTbeRP+h1mgxZ8c5NLWzxPRnPcSOQ0QSE5dZiNIyLcd3G5inXRsjuGtLfPVXOpKv3RY7\nDtVTbLyJ/uProxlIvlaEd5/zhJ2VudhxiEhijqTmw8xEhm4unF7U0MwZ3B721uaYs+MctFpB7DhU\nD7HxJionp7AYq/+4iP7tmiLA8wmx4xCRBB1NzUcX5waQW5qJHYUeUUNbC8wb0h7/ZN1E1MksseNQ\nPcTGm+hfd+fsPg8AeDfQk3PzEtF9bharcO7yLfi5O4odhWpolE8L9HBtjA92JyO3iHN7k36x8Sb6\n156EaziQnIu3B3qgZUMbseMQkQQdS7sBQQD82nCYiaGSyWR4f6QXStVaLPktSew4VM+w8SYCUPTv\nnN3tm9vjxZ6txY5DRBJ1JDUfckszznZk4Fwd5ZjSzx0746/gEOf2Jj1i400EYNW+C8gtKsWykV6c\ns5uIqnQ0NR/dXRvDnO8TBu/Vvq5wdbTFgl84tzfpD985qN6Lz76JzccvIaJ7K3Rxbih2HCKSqOyC\nYmTeKIafO4eZGANLM1O8P6IjsgvuYO0Bzu1N+sHGm+q1Mo0Wc386B0e5JWYEtBU7DhFJ2OELeQAA\nvzY8sdJY9HBrjNG+LfFlDOf2Jv1g40312qajGTh/5TYWDfeEPefsJqJqHErJhVMja7g52oodhWrR\n3CF35/ae9eM5aDi3N9UxNt5Ub2XeUOLjPy5gQPtmGNKRc3YTUdVK1BocTb2Bfm2bcqpRI9PI1gKL\nhndAfPZNfHPskthxyMix8aZ6SRAEzNlxDmYmJlgygnN2E1H1YjMKcEetQb92TcWOQnXguU5Pol9b\nR3y0NwXZBcVixyEjxsab6qUfTuXgWNoNzB7cDs0drMWOQ0QSdzA5F1bmJujhyhMrjZFMJsPSkR1h\nIgPm/nQOgsAhJ1Q32HhTvZNbVIKlvyeiW+tGCO/mLHYcIpI4QRBwMCUXz7g1gZW5qdhxqI60aGCN\ndwa1w18X87Hj9GWx45CRYuNN9c7iX8+jpEyL5UEdYWLCISZEVL2MfCUybxSjX1vOZmLsIrq3gm+r\nhljyeyLyFaVixyEjxMab6pW9569h17lreLN/G7g5ysWOQ0QG4EDy3ZUN+7bl+G5jZ2Iiw4qgjigu\n1WDxr+fFjkNGiI031Ru37qix4OcEtHvCDi/3dhU7DhEZiEMpeWjTVA6nRjZiRyE9cG9qh9f93fHb\n2av4M/G62HHIyLDxpnrjg93JyFeUYkWQN5d7JqKHoiwtQ2zGDc5mUs+82scNbZvZYf7PCSgqUYsd\nh4wIuw+qF/5Ov4GoE1mY0NMFnZwaiB2HiAzEkdR8qDUC+nGYSb1iYWaCFaO9kVtUghV7ksWOQ0aE\njTcZvRK1BnN2nINTI2u8/ayH2HGIyIAcSsmF3NIMXVs3FDsK6VlnpwZ4sacLvvs7CycyCsSOQ0aC\njTcZvbX7LyIjX4nlI71hY2EmdhwiMhCCIOBgch56tWnC4Wn11PRnPdCyoTVm/3gWJWqN2HHICPCd\nhIxawuVb+DwmHaN9W8KvTROx4xCRAUm6WoRrt0s4vrses7Eww/JRHZGer8Sa/RfFjkNGgI03GS1V\nmRYzfohHY1sLLBjaQew4BkulUmH69OkIDg7GhAkTcOnSpQrXHzhwAEFBQQgJCUF0dDQAQKvVYuHC\nhf/H3n2HRXWmfRz/DjD0JhYsCIKKIlgo9m501WhiQVGI2I1J1CRqEk3TRNdodqOJRo0ldqOCKbq+\nMbqxxF4QBZGiAoogShFRhs4w7x9uyLrGWJkzwP25rlyXnHOG+c1Aztw85zn3w7BhwwgODiYpKUmB\n5EI8m4MX/9NG0F36d1dlnRvXZJhffVYeSiAyOVvpOKKCk8JbVFrLDsYTdzOHzwY1x85SrXScCis0\nNBRLS0tCQ0P56KOPmDt3btm+4uJi5s+fz9q1a9m0aRMhISFkZmayb98+ioqKCAkJYfr06SxYsEDB\nVyDE0zkYl45XPVtq2ZorHUUo7MP+HjjamvPO9kgKS2TKiXh6MuFVVErRqXdYdjCega3q0rOZo9Jx\nKrT4+Hi6dOkCgJubGwkJCWX7EhIScHZ2xs7ODgBfX1/CwsKIiIigc+fOALRq1YoLFy7oP7gQzyA7\nr4iz124zuXsjpaM8Fz/++CM//fQTAIWFhcTGxnLs2DFsbW0BWL9+Pdu3b8fBwQGATz/9FDc3We/g\nd7bmaj4b3Jwx68L4en887/RuonQkUUGVW+EdGRnJF198waZNm0hKSmLmzJmoVCoaN27M7NmzMTIy\n4u9//ztnz57FysoKgOXLl6NWq3n33Xe5desWVlZWfP755zg4OBAREcG8efMwNjamU6dOTJ48ubyi\niwquWFvKu9vPY29pyuyXPJWOU+F5eHhw8OBBevbsSWRkJGlpaWi1WoyNjdFoNNjY2JQda2VlhUaj\nQaPRYG39x8qgxsbGlJSUYGLy4CknNjZWL6/jaRQUFBhsPsn29B4n329XNJTqoIF5nkG/lsc1ePBg\nBg8eDNwrqv39/cuKboALFy7w+eef4+XlpVREg9e9SS2G+jrxzaEEenvWprmTndKRRAVULoX36tWr\n+de//oWFhQUA8+fP5+2336Zt27bMmjWL/fv306tXL6Kjo/n222/L/sIGWLduHe7u7kyZMoWff/6Z\n5cuX89FHHzF79my+/vpr6tevz6uvvkpMTAzNmsm8XfGgb35LIObGXVYG+1LNylTpOBWev78/CQkJ\nBAUF4ePjg6enJ8bGxgBYW1uTm5tbdmxubi42NjYPbC8tLf3TohvuFfaGKjY21mDzSban9zj5Vp2P\nwMHKlAGdWmFspNJTMggPDy/X7x8VFUV8fDyzZ8++b3t0dDSrVq0iIyODbt26MXHixHLNUVF91L8Z\nhy9n8M72SHZN6YSpiczYFU+mXApvZ2dnvv76a9577z3g3v/Qbdq0AaBLly4cO3aMF154gaSkJGbN\nmkVmZiZDhgxhyJAhhIeHM378+LJjly9fjkajoaioCGdnZwA6derE8ePHpfAWD4i7eZevD1zm5ZZ1\n6e1ZW+k4lUJUVBTt27fngw8+ICoqitTU1LJ9DRs2JCkpiezsbCwtLTlz5gzjxo1DpVJx8OBBXnzx\nRSIiInB3l/7pouLQluo4dCmDru419Vp068PKlSuZNGnSA9v79etHUFAQ1tbWTJ48mYMHD9K9e/cH\njjPk0X99XWl5o3U1Zu+/yezQE4z0dnj0A6gcV4GUYsjZnka5FN69e/cmJSWl7GudTodKde/kZWVl\nRU5ODnl5eYwYMYIxY8ag1WoZOXIkXl5e9126/v3Y/71sbWVlRXJy8kOf31B/QIb+y2PI+R4nm7ZU\nx9Td17FSGxHUVK2312LI79vz4OLiwuLFi1mxYgU2NjbMmzePXbt2kZeXx7Bhw5g5cybjxo1Dp9Ph\n7++Po6MjvXr14tixYwwfPhydTsdnn32m9MsQ4rGdT8kmK7eIbk0qVzeTu3fvcuXKFdq1a3ffdp1O\nx6hRo8o+e7t27UpMTMyfFt4V/UrG8+DhAZG3I9gekcorXb3wqvfoKSeV4SqQUgw529NcodLLzZVG\nRn9cisnNzcXW1hYLCwtGjhxZNh2lXbt2xMXF3XeJ+vdj/+xy9n/PTftfhvoDMuRfHjDsfI+TbdnB\neC7fKuKbV3xo17yOnpIZ9vsGz37p2sHBgfXr19+37aWXXir7d48ePejRo8d9+42MjJgzZ84zPa8Q\nSjkYl46RCrpWsjaCYWFhtG/f/oHtGo2G/v37s3v3biwtLTl16hT+/v4KJKw4Zvf35OjlTN79/jw7\nJ3WUKSfisenlN6VZs2acOnUKgMOHD+Pn58fVq1cJDAxEq9VSXFzM2bNn8fT0xMfHh0OHDpUd6+vr\ni7W1NWq1mmvXrqHT6Th69Ch+fn76iC4qiEtpOSzed5l+LerQV49FtxCi8jl4MQMf52rYW1aue0Su\nXLmCk5NT2de7du0iJCQEGxsbpk6dysiRIwkKCqJRo0Z07dpVwaSGz85SzWeDmhN74y7Lf4tXOo6o\nQPQy4j1jxgw+/vhjFi1ahJubG71798bY2JgBAwYQEBCAWq1mwIABNG7cGCcnJ2bMmEFgYCBqtZqF\nCxcC9+7Cfuedd9BqtXTq1ImWLVvqI7qoAEq0pby7PRJrcxPmvCxdTIQQTy/9bgFR1+/wbiVsF/f7\n/VO/++8rVwMHDmTgwIH6jlSh9WzmyMBWdVl6IJ6/NatNs7oPvxIvxO/KrfB2cnIqW8XO1dWVzZs3\nP3DM+PHjHzgRWFhYsGTJkgeObdWqVdn3E+K/fXv0CpEpd1ga5E11azOl4wghKrDfLmUA91rHCfEo\ns1/y5Gj8Ld79PpIdkzqiNpYpJ+KvyW+IqNAupeWw6N+X6ONZm34yxUQI8Yx+u5hObVtzPOrYPPpg\nUeVVszJl3iAvolPvsvSATDkRj/ZYhXdpaSlarZYzZ85QVFRU3pmEeCzF2lKmhUZgY27CvEFeZZ1z\nhBDiaRRrSzlyKZPuTWvK+UQ8tt6etRnsXY+lB+M5n5KtdBxh4B451WTevHk0bNiQ1NRUoqOjqVGj\nBp9//rk+sgnxl74+EM+F6/cWypEpJkKIZ3X6ShY5hSV0k2km4gnNftmTE4m3mBYayf9N6YS52ljp\nSMJAPXLEOyoqiuHDh3Pu3DnWrFnDzZs39ZFLiL8UmZzNsoPxDPauJwvlCCGei73RNzFXG9GlceVq\nIyjKn52Fmn8MaUF8uoYv9l5UOo4wYI8svEtLS7lw4QJOTk4UFRXd109bCCUUFGuZvj2SWjZmzJYu\nJkKI56C0VMfe6Jt0c6+FhamMVoon17lxTYLbubDm2BVOJt5SOo4wUI8svAcMGMCnn37K2LFj+ec/\n/8mwYcP0kUuIh/pi70Xi0zX8Y0gL7CzUSscRQlQCESnZpN0tpLeXo9JRRAX2/otNcXGw5J3tkWgK\nS5SOIwzQIwvvV155hbVr16LVapk6dSpDhw7VRy4h/tTJxFusOXaF4HYudJbLwUKI52Rv9E1MjFT0\naCqFt3h6lqYmLAxoSWp2PvN+jlE6jjBAj7y5cu/evXzzzTdotVr69OmDSqXijTfe0Ec2Ie6jKSzh\nne2RuDhY8v6LTZWOI4SoJHQ6HXsv3KR9w+pyFU08M18XByZ0cWPloUT+1qw23ZvKzbriD48c8V63\nbh2hoaHY29vzxhtvsG/fPn3kEuIB836OITU7n4UBLbE01cuiq0KIKuBSmoart/Lo4yU3aovnY1ov\nd5o42jDjh/Nk50kbZvGHRxbexsbGmJqaolKpUKlUWFhY6COXEPc5nZLH1tPJTOjihq+Lg9JxhBCV\nyJ4LN1GpoFczmWYing8zE2MWBrQkK7eIj3dGKx1HGJBHFt6+vr5MmzaNtLQ0Zs2aRfPmzfWRS4gy\n2XlFLD6eQRNHG6b1clc6jhCiktkbfRNf52rUsjFXOoqoRLzq2fHWC43ZFZnK4asapeMIA/HI6/XT\npk3j8OHDNGvWjIYNG9K9e3d95BKizMc7o7lToGXj+JaYmUibLyHE85OclUfMjbt81M9D6SiiEnq9\nW0P2xaWz9GQmAzsW4Ggrf9xVdY8c8d6xYwdZWVnUqFGDO3fusGPHDn3kEgKAHeeusysylVdaVcOr\nnp3ScYQQlcze6HuLwslCXKI8mBgb8WVAS4q0Ot7ZHklpqU7pSEJhjyy8ExISSEhIID4+nl27dnHk\nyBF95BKClNt5fLzjAn4u1Qjwslc6jhCiEtpz4SbN6thS38FS6SiiknKrac2rftU5cjmT9cevKh1H\nKOyRU02mT59e9m+dTsfEiRPLNZAQANpSHdNCI9EBXw5rhSYtSelIQohKJj2ngPBrt3n7Bbl3RJSv\nvu42xGQbsWBPHB0b1aBJbRulIwmFPHLEu6ioqOy/1NRUUlJS9JFLVHGrDidy+koWn7zsKSNRQohy\n8WtMGjod0kZQlDuVSsXnQ1pga27CW9vOUViiVTqSUMgjR7x/XzRHp9Nhbm7OuHHj9JFLVGEXrt9h\n0a8X6de8Dv4+9ZSOI4SopPZcuEmD6pa4O1orHUVUATWszfjcvwXjNpzhi70X+bBfM6UjCQU8svA+\ncOCAPnIIAUB+kZa3tp3DwcqUeYO8UKlUSkcSQlRCd/KLOZFwi3GdXeU8I/TmBQ9HRrRzZvWRK3Rr\nUouOjWooHUno2UML72HDhj30ZLRt27ZyCySqtvm/xJKQkcvmcW2xtzRVOo4QopI6EJdGSalOupkI\nvfvwxWYcT7jF9NBI9r7dBTtLtdKRhB49tPBetGiRPnMIwcG4dDaeSGJcJ1c6NZZRACFE+dl7IQ1H\nWzNaOUnHJKFfFqbGfDWsFYOXH+eDHVEsDfSWqy5VyEML73r17s2tTUpKYs+ePRQXFwOQnp7OnDlz\n9JNOVBmZmkLe/f48TRxteLd3E6XjCCEqsYKSUn67lM5Q3/oYGUnBI/SvhZM9U3u588+9F3mhaS0G\n+zgpHUnoySO7mvzeTvDs2bOkpKSQnZ1d7qFE1aLT6Zj5QxR384v5angrzNWyOqUQovycTc2noLhU\nupkIRb3WtSGtG1Rj1s5okrPylI4j9OSRhbelpSUTJ07E0dGRBQsWkJmZqY9cogrZejqZfbFpvNen\nCR51bJWOI4So5I4n5WJnoaaNq4PSUUQVZmykYlFAKwCmhkRQoi1VOJHQh0cW3iqVioyMDHJzc8nL\nyyMvT/4qE89PfHoOc/4vmo6NqjO2o6vScYQQlVyxtpRTKXn09HBEbfzIj0AhylV9B0vmDvTkTNJt\nvj4Qr3QcoQcPPet8//33FBQUMHnyZPbt28eAAQPo2bMn7du312c+UYkVFGuZvOUclqYmLApoJXMt\nhRDl7mTiLTRFMs1EGI5B3k4M9q7H1wcuc/pKltJxRDl7aOF98eJFXnrpJX7++We8vb154YUXOH78\nODNmzNBnPlGJLfgljribOXwxtAWOtuZKxxFCVAF7LtzE3ERFZ+mcJAzInIFeODtY8va2c2TnFSkd\nR5SjhxbeH374Ibt376Zdu3YsWrSI4cOHs337dvLz8/WZT1RS+2LSWH/8KqM7NKBHU0el4wghqoDS\nUh3/jknDr56l3MQtDIq1mQlLAr1Jzylk5g9R6HQ6pSOJcvKXE9zUajV9+vRh1apVLF68mKSkJLp1\n66anaKKySrtbwLvfR+JRx5aZfZsqHUcIUUWcupJFRk4hHV2slI4ixANaONnzbu8m7Im+yZbT15SO\nI8rJI5eMLyws5Ndff2XHjh3k5uby7rvv6iOXqKS0pTqmhkRQUFzK14HeMuokhNCbf0Vex9LUmHZO\nlkpHEeJPTejsxtH4TObsiqF1AwfcHW2UjiSes4cW3qdOnWLHjh2cOnWKF154gffeew93d3d9ZhOV\n0MrDCRxPuMWCwc1pVMta6ThCiCqisETL7qib/K2ZI+Zq6WYiDJORkYqFAS3p+9UR3tx6jh2TOsoA\nVSXz0LPP0qVL6dChA3v27OHDDz+Uols8s7PXbrPw35fo17wOw1rXVzqOEKIKOXwpkzv5xQzwrqd0\nFCH+Ui0bc74IaEnczRw+2x2rdBzxnD10xHvTpk36zCEqubsFxby17Ry1bc35bHBzVCppHSiE0J+d\nEddxsDKlU6MaxF+6pXQcvfvxxx/56aefgHtTSGNjYzl27Bi2tvcWLTtw4ADLli3DxMQEf39/AgIC\nlIxb5XVvUovxnVz59ugVOjWqwd88pf1lZfHIOd5CPCudTsdHP10gNbuA0IntsLNQKx1JCFGFaApL\n2BebxlDf+lV20ZzBgwczePBgAD799FP8/f3Liu7i4mLmz5/P999/j4WFBYGBgfTo0YMaNaTlopLe\n7dOEk1du8d4P52nuZEcdOwulI4nnQApvUe6+D0/hX5GpTOvljq+LLNEshNCvf0ffpKC4lAGt6iod\nRXFRUVHEx8cze/bssm0JCQk4OztjZ2cHgK+vL2FhYfTt2/eBx8fGGu7Uh4KCAoPN97TZ3mpty5T/\ny+HVtceZ/7c6GJfTQnOV8b0zVFJ4i3J1OS2HWTujaevqwKTujZSOI4SognZGpFLP3gIf52pKR1Hc\nypUrmTRp0n3bNBoNNjZ/dM+wsrJCo9H86eM9PDzKNd+ziI2NNdh8T5vNA5inrs707ZH8+7ox0/7W\n5PmHo3K+d/oQHh7+xI+pmtfchF7kF2mZtOUslqbGLAn0Lre/1IUQ4mEyNYUcjc/k5VZ1Mari56C7\nd+9y5coV2rVrd992a2trcnNzy77Ozc29rxAXyvL3dWKIrxNfH4zn6OVMpeOIZySFtyg3s/91gcvp\nGr4c1kqWhBdCKGJ31A20pToGtpJuJmFhYbRv3/6B7Q0bNiQpKYns7GyKioo4c+YM3t7eCiQUDzNn\ngCeNalrzdsg50u8WKB1HPAMpvEW5+PFsCqFnUpjUrRFd3GsqHUcIUUXtjEilaW0bmtSWEdwrV67g\n5ORU9vWuXbsICQlBrVYzc+ZMxo0bx/Dhw/H398fR0VHBpOJ/WZqasOwVHzSFJby1LQJtqSwpX1HJ\nHG/x3MWna/hoxwXaNHDg7Z6NlY4jhKiikrPyCE+6zXt9ymdebEUzfvz4+75+6aWXyv7do0cPevTo\noe9I4gm4O9owd4AX735/niX7LzO1l6yvUhHJiLd4rvKLtEz67izm6nvzuk2qaOsuIYTy/hWZCsBL\nLaSbiagchvrVZ7BPPZYcuMyxeJnvXRFJVSSeq093RXMxLYdFAS2pbSfzuoUQytDpdOw4dx0/l2rU\nd7BUOo4Qz83fB3rRsKY1b22LID1H5ntXNOVWeEdGRhIcHAxAUlISgYGBBAUFMXv2bEpLSwEIDQ1l\n8ODBBAQEcPDgQeBev8YpU6YQFBTEhAkTyMrKAiAiIoKhQ4cyfPhwli5dWl6xxTPYce4628KSeaNb\nQ7o1qaV0HCFEFRZ3M4fL6Rrp3S0qHUtTE5YF+aApLGZqiMz3rmjKpfBevXo1H330EYWFhQDMnz+f\nt99+my1btqDT6di/fz8ZGRls2rSJbdu2sWbNGhYtWkRRURFbt27F3d2dLVu2MHDgQJYvXw7A7Nmz\nWbhwIVu3biUyMpKYmJjyiC6eUkKGhg9+iqJ1g2pMk3lnQgiF7YxIxcRIRT+ZZiIqoSa1bZjzshfH\n4m+x9EC80nHEEyiXwtvZ2Zmvv/667Ovo6GjatGkDQJcuXTh+/Djnz5/H29sbU1NTbGxscHZ2Ji4u\njvDwcDp37lx27IkTJ9BoNBQVFeHs7IxKpaJTp04cP368PKKLp1BQfG9et5mJkczrFkIorrRUx67I\nVDo3roGDlanScYQoF0P9nBjkXY/F+y9xPEHme1cU5dLVpHfv3qSkpJR9rdPpUKnuLVxgZWVFTk7O\nQ1fK+u/t/32stbX1fccmJyc/9PkNdWlRQ1/29GnzLT6eQdzNHOa8UJvs1KtkpxpONn0w5GxCVEXh\n125zPTufd3tLNxNRealUKv4+0IvzKdm8uTWC3W92opasmWHw9NJO0MjojxHQ3NxcbG1tH7pS1n9v\n/6tjbW1tH/p8hrq0qCEvewpPly/0TDJ7LicyqXtDRvZqWk7JDPu9M+Rs8HRL2gpRke04dx1ztRG9\nmkkvalG5WZmZ8M0IXwYsPcakLWfZMqEdarnqbND08tNp1qwZp06dAuDw4cP4+fnRokULwsPDKSws\nJCcnh4SEBNzd3fHx8eHQoUNlx/r6+mJtbY1arebatWvodDqOHj2Kn5+fPqKLvxCdeoePd1ygQ8Pq\nTOslI0tCCOUVlZTyc9QNejWrjZWZLFUhKj93RxsW+Dcn7Opt/rEnTuk44hH0claaMWMGH3/8MYsW\nLcLNzY3evXtjbGxMcHAwQUFB6HQ6pk6dipmZGYGBgcyYMYPAwEDUajULFy4E4NNPP+Wdd95Bq9XS\nqVMnWrZsqY/o4iHu5BfzxndnsbdUsyTQG2MjldKRhBCCo/EZZOcVM1C6mYgqZECrepy5epvVR67g\n61KNPl51lI4kHqLcCm8nJydCQ0MBcHV1ZfPmzQ8cExAQQEBAwH3bLCwsWLJkyQPHtmrVquz7CWXp\ndDre2R7J9dv5hExsRw1rM6UjiXJUXFzMzJkzuX79OkZGRsydO5eGDRuW7d+xYwdr1qzBxsaGQYMG\nMXToUAAGDRpUdm+Gk5MT8+fPVyS/qFp2RqRib6mmc+OaSkcRQq8+6u/B+et3eGf7edwdbXCraf3o\nBwm9k+tw4omtPJzIrzFpfNy/Gb4uDkrHEeXs0KFDlJSUsG3bNo40mBmSAAAgAElEQVQdO8ZXX31V\n1rUoKyuLJUuW8OOPP2Jra8vo0aNp3749NWvWRKfTsWnTJoXTi6okp6CYf0enMcinHqYmMs9VVC1m\nJsYsf8WH/kuO8MZ3Z/npjY5YmBorHUv8DzkziSdyIuEW/9gTR7/mdRjbsYHScYQeuLq6otVqKS0t\nRaPRYGLyx9/rKSkpNGnSBHt7e4yMjGjevDmRkZHExcWRn5/P2LFjGTlyJBEREQq+AlFV7IxIJb9Y\nS4BffaWjCKGIevYWfDXcm4tpOXy4IwqdThbXMTQy4i0eW/rdAqZsPUeDGlYs8G9e1iJSVG6WlpZc\nv36dvn37cvv2bVasWFG2z8XFhfj4eDIzM7GysuLEiRM0aNAAc3Nzxo0bx9ChQ7l69SoTJkxgz549\n9xXtvzPkVoyG3CpSsj1ow5EUXKuZYpqTSmzsjYceZ8jvnRDPqqt7Td7s0ZjF+y/j5+JAUFtnpSOJ\n/yKFt3gsxdpSJm85R25hCVsmtMXGXK10JKEn69evp1OnTkyfPp0bN24watQodu3ahZmZGXZ2drz/\n/vtMmTIFe3t7PD09qVatGq6urri4uKBSqXB1dcXe3p6MjAzq1Hnwhh9DbsVoyK0iJdv9Lly/w+Vb\niXz6sifNmjX4y2MN+b2T9p/ieXjzhcacvXabT/4VjVc9W1o42SsdSfyHTDURj+Wfey9y+moW8wc3\nx93R5tEPEJWGra1t2aJWdnZ2lJSUoNVqASgpKSEmJoYtW7awePFiEhMT8fHx4fvvv2fBggUApKWl\nodFoqFlTbnYT5SckLBkzEyMGtqqndBQhFGdspGLxcG9qWJvy+uazZOcVKR1J/IcU3uKRfom6warD\niYxo58xAb/lQq2pGjx5NdHQ0QUFBjBo1iqlTp7J//35CQkLKpo4MGjSI4OBggoODcXBwYMiQIeTk\n5BAYGMjUqVP57LPP/nSaiRDPQ36Rlh0R13mxeR3sLOVqnBAADlamLB/hS3pOAW9ti0BbKvO9DYF8\nEoq/dCkth+nbI2lV356P+zdTOo5QgJWVFYsXL37o/smTJzN58uT7tpmampb14BeivP0cdYOcghKG\nt5abKoX4b63q2zP7JU8+2nGBL3+9xDu9ZbE7pcmIt3ioO/nFTNwUjqWpCStG+GJmIm2JhBCGJyTs\nGm41rGjjKu1Nhfhfr7R1ZphffZYejGfPhZtKx6nypPAWf6q0VMe0kAiSs/JY/ooPte3MlY4kKqlM\nTaHSEUQFFp+eQ9jV2wxrXV86LQnxJ1QqFZ8O8KSlkx3TQyOIT89ROlKVJoW3+FNLDlxmf1w6H/dv\nJqNIolxtOXVN6QiiAgsJS8bESMVgHyelowhhsMzVxnwzwhcLU2Ne3RROTkGx0pGqLCm8xQP2xaTx\n1b7L+Ps4MbK9i9JxRCW36WQSRSWlSscQFVBhiZYfzl6nVzNHatqYKR1HCINW196CpUE+JN3KY1po\nJKVys6UipPAW90nM0DA1JAKverbMG+Qll25FucvIKWR31MMXOxHiYX6NSSMrt4jhbWSBECEeRzu3\n6nzUz4NfY9JYdjBe6ThVkhTeokxecSkTN4WjNjFixQhfzNVyM6Uof241rFh37IosbSyeWEhYMvXs\nLejUqIbSUYSoMEZ3aMAg73os2neJg3HpSsepcqTwFgDodDoWHcsgIUPD0kBvnKpZKh1JVBGjOzYg\nMuUOZ69lKx1FVCDJWXkcuZxJgF99jI3kypwQj0ulUvHZoOZ41LblzW3nuJqZq3SkKkUKbwHAN4cS\nOJaUywcvetBBRo+EHvn7OGFjbsK6Y1eUjiIqkJCwZIxUMNRPbqoU4klZmBqzMtgXYyMVEzeFk18s\n99noixTegoMX0/li70W6NrBiXCdXpeOIKsbKzIRhfvX55cJNbtzJVzqOqABKtKVsD0+mq3tN6tpb\nKB1HiAqpvoMlSwN9uJyew8JjGXKzpZ5I4V3FxadreHPLOZrWtuXtDjXlZkqhiFEdGlCq07H5ZJLS\nUUQF8NvFDNLuFspNlUI8o06Na/DBix4cS8rl6wNys6U+SOFdhd3JL+bVjWcwNTFi9Sg/zNXy6yCU\nUd/Bkp4ejmw5dY2CYq3ScYSB2xaWTE0bM3o0raV0FCEqvHGdXOnZ0Jov911izwXpMFXepNKqorSl\nOqZsPUfy7TxWBPtSTy7XCoWN6diA23nF7Iy4rnQUYcDS7hZw8GI6Q3ydUBvLR5gQz0qlUjGlfQ1a\n1bdnWmgksTfuKh2pUpOzVhW14JdYDl/KYO4AL1o3kJUphfLau1WnaW0b1h27Kq0FxUNtP5OMtlTH\nML/6SkcRotIwNTZiVbAvNuYmTNh4hqzcIqUjVVpSeFdB34ensPrIFUZ3aCBzJIXBUKlUjOnYgLib\nOZxIvKV0HGGASrSlbD2dTHu36jSoYaV0HCEqlVq25qwK9iM9p5DXN4dTrJVOJ+VBCu8q5uy123zw\nYxQdGlbnw34eSscR4j4DWtWjmqWadceuKh1FGKC90Wlcz85nTMcGSkepkFauXMmwYcMYPHgw27dv\nv2/f+vXr6devH8HBwQQHB5OYmKhQSqGklvXt+Yd/C05dyeLTXdFKx6mUTJQOIPTn5p0CJm4Kp7ad\nOcuCfGR+pDA45mpjgto6s/y3BK7dysO5uizkJP7w7dFEGlS35AUPR6WjVDinTp3i3LlzbN26lfz8\nfNauXXvf/gsXLvD555/j5eWlUEJhKAZ61yP25l1WHkqkaW1bRrRzUTpSpSKVVxVRUKzl1U1nyCss\n4dtRflSzMlU6khB/KrhdA4xVKjaeuKp0FGFAwpNuc+5aNmM7ucpKlU/h6NGjuLu7M2nSJF577TW6\ndet23/7o6GhWrVpFYGAgK1euVCakMBjv9W5K9yY1+eRf0ZyUqX/PlYx4VwE6nY4ZP5wn6vodVgX7\n4e5oo3QkIR6qtp05fZvXIeRMMlN7uWNlJqcpAWuPXsHOQs0QX1mp8mncvn2b1NRUVqxYQUpKCq+/\n/jp79uwpW7uhX79+BAUFYW1tzeTJkzl48CDdu3d/4PvExsbqO/pjKygoMNh8hpwN/jzfJB8r4m9m\n8+qG0yzuV4/aNmqDyVaRySdaFbDsYDw7I1J552/u9Goml2iF4RvTsQG7IlP54WwKI9s3UDqOUFhy\nVh6/XLjBq10aYmkqH1tPw97eHjc3N0xNTXFzc8PMzIysrCyqV6+OTqdj1KhR2NjcG5Tp2rUrMTEx\nf1p4e3gY7r1BsbGxBpvPkLPBw/NtqOvCoOXHmX/sNj+83gEbc/0X34b83oWHhz/xY2SqSSX38/kb\nfPHvSwxsVZdJ3RspHUeIx+Jd356W9e1Zc/QKJXJnfZW3/vhVjFQqRnWQuaZPy9fXlyNHjqDT6UhL\nSyM/Px97e3sANBoN/fv3Jzc3F51Ox6lTp2SutwDAraY137ziQ2JGLlO2npPz8XMghXclFpmczbTQ\nCHxdqrHAv4UsBy8qDJVKxetdG5J0K4+fo2Qltaosp6CYkLBk+reoQx07WejraXXv3h0PDw+GDBnC\n66+/zqxZs9i9ezchISHY2NgwdepURo4cSVBQEI0aNaJr165KRxYGokOjGvx9oBe/Xczg7z9Xnikf\nSpFrdpVUanY+4zeeoZatGauCfTFXGysdSYgn8rdmjrg7WrP0QDwvtaiLkdxQVyWFhCWjKSxhXCc3\npaNUeO+9995D9w0cOJCBAwfqMY2oSIa3cSYhQ8PqI1doWNOKYJkC+NRkxLsSyi0sYdyGMxQUaVkz\nqjXVrc2UjiTEEzMyUjGpeyMup2vYG31T6ThCASXaUtYdu0obVweaO9kpHUeIKm1mXw96etTik10x\nHL6UoXScCksK70pGW6rjrW0RXLx5l6Wv+EgHE1Gh9W9RF9caVnx9IF6Wka+Cfl8wZ3wnV6WjCFHl\nGRupWDzcG3dHGyZ9d5bLaTlKR6qQpPCuZBb8Esu+2DQ+edmTru41lY4jxDMxNlLxRreGxNy4y8GL\n6UrHEXomC+YIYViszExYM8oPc1Njxm4I45amUOlIFY4U3pXI1tPXWH3kCqPau0gLNlFpDPSuRz17\nC5bsl1HvqkQWzBHCMNW1t2D1SD/S7xby2uZwCku0SkeqUKTwriSOx2fy8Y4LdHWvycf9mykdR4jn\nRm1sxOvdGhKRnM2xeFlBraqQBXOEMFyt6tuzMKAlYVdv8/6PUTIo8gSk8K4E4tNzeG1zOG41rfg6\nyBsTY/mxisplqJ8TjrZmfH3gstJRhB78vmBOYBtnWTBHCAPVv0Vdpvdy58ez1/n6QLzScSoMqdAq\nuIycQkavC8PUxJg1o1pjq8CqUkKUNzMTYyZ2acipK1mcvpKldBxRzmTBHCEqhsk9GuHv48SiXy/x\n07kUpeNUCFJ4V2B5RSWM2xDGLU0Ra0f7Ud/BUulIQpSbwDbO1LA2lVHvSk4WzBGi4lCpVMwf3JwO\nDavz3vfnOZ6QqXQkgyeFdwWlLdXx5tZzXLh+h68DvWnhZK90JCHKlYWpMeM7u3HkciYRydlKxxHl\nRBbMEaJiMTUx4psRvrjWsGLipnBpM/gIUnhXQDqdjjm7otkXm84nL3vSs5m02hJVw4h2LthZqFkq\n8wkrpYJiLasOJ9LOTRbMEaIisbNQs3Z0a8zVxoxeF0Z6ToHSkQyWFN4V0JqjV9hwIokJnV2lbaCo\nUqzNTBjb0ZV9sWnEpN5VOo54zjafTCI9p5C3e7orHUUI8YScqlmydlRrsnKLGLf+DHlFJUpHMkhS\neFcwv0TdYN7uWPp61eb9vh5KxxFC70Z3aIC1mQnLDsqod2WSV1TCikMJdGxUnXZu1ZWOI4R4Cs2d\n7Fga5E106h3e3HoObam0GfxfUnhXIOFJt3k7JALv+vZ8OawVRrKohKiC7CzVjOrgwu4LN4hPl7mE\nlcXGE0lkaoqY1quJ0lGEEM/gBQ9HPn3Zk32x6czZFS09vv+H3grvoqIipk+fTkBAAGPHjuXq1avE\nxMTQuXNngoODCQ4OZvfu3QCEhoYyePBgAgICOHjwIAAFBQVMmTKFoKAgJkyYQFZW1WopdjUzlwkb\nz1DbzpzVI/0wVxsrHUkIxYzt6Iq5iTFL9suod2WgKSxh5aEEujWpia9LNaXjCCGeUXD7Bkzo7MqG\nE0msOXpF6TgGRW8rE4SGhmJpaUloaCiJiYnMnTuXPn36MGbMGMaOHVt2XEZGBps2beKHH36gsLCQ\noKAgOnbsyNatW3F3d2fKlCn8/PPPLF++nI8++khf8RV1S1PImPVh6HQ61o9pQ3VrM6UjCaGo6tZm\njO3UgGUHExjf2VW6+lRw649d4XZeMVNlbrcQlcb7fT24np3PvN2x1LYzp3+LukpHMgh6G/GOj4+n\nS5cuALi5uZGQkMCFCxf47bffeOWVV/jggw/QaDScP38eb29vTE1NsbGxwdnZmbi4OMLDw+ncuTMA\nXbp04cSJE/qKrqjcwhLGrg8jNTufb0f54VrDSulIQhiE17o2pLqVKfN+jpVLmRXYnfxiVh1OpKeH\nIy3ryx9QQlQWRkYqFgW0ws+lGtNCIqXH93/obcTbw8ODgwcP0rNnTyIjI0lLS8PLy4uhQ4fi5eXF\nN998w7Jly2jatCk2NjZlj7OyskKj0aDRaMq2W1lZkZPz8LmdsbGx5f56nkZBQcETZSsp1fHpgZtE\npebzcTdHLPPSiI1NM5h8+iTZxP+yMVfzds/GfLwzmv2x6dJWs4Jae/QKdwtKmNqrsdJRhBDPmbna\nmG9HtmbIiuNM3BhO6Gvt8ahjq3QsRemt8Pb39ychIYGgoCB8fHzw9PSkd+/e2Nre+wH06tWLuXPn\n4ufnR25ubtnjcnNzsbGxwdraumx7bm5u2eP+jIeHYXb7iI2NfexsOp2Od7af58z1fOYPbk5gG+dy\nTvdk+fRNsj298PBwpSOUm+FtnFl3/Cqf/RJL1yY1URvL/eIVSXZeEWuPXqGvV20860rfbiEqIztL\nNRvGtmHw8uOMWnuaH9/ogFO1qrvStt4+paKiomjfvj1bt26lT58+1K9fn3HjxnH+/HkATpw4gaen\nJy1atCA8PJzCwkJycnJISEjA3d0dHx8fDh06BMDhw4fx9fXVV3RFfPHvi/xwNoW3ezbWS9EtREWk\nNjbi/b4eJGbksi0sWek44gmtOpyIpqhE+nYLUcnVtbdgw9g25BdrGbX2NLdzi5SOpBi9jXi7uLiw\nePFiVqxYgY2NDfPmzSMzM5O5c+eiVqupUaMGc+fOxdramuDgYIKCgtDpdEydOhUzMzMCAwOZMWMG\ngYGBqNVqFi5cqK/oerfh+FWWHUwgsI0zb70gl1+F+Cs9PWrRxtWBxfsuMbBVXWzM1UpHEo/hlqaQ\n9cev0r9FXZrUtnn0A4QQFVqT2jasHunHyLWnGbchjO/Gt8PCtOp1aNNb4e3g4MD69evv2+bo6Mi2\nbdseODYgIICAgID7tllYWLBkyZLyjGgQdkfd4JNd0fRq5sjcAZ6oVNKrW4i/olKp+PBFDwYsO8bK\nQ4m801v6QFcEKw8nUlCslcEFIaqQdm7VWTysFW9sOcuUredYMcIHkyo2RbBqvVoDdzLxFm9vi8DH\nuRpfB3pXuV9GIZ5Wy/r2DGhVl2+PJnLjTr7SccQjpOcUsPHEVQa2qkejWtZKxxFC6FHf5nX45CVP\n9sWm8fHOqrfAjlR2BiLu5l0mbDyDc3VL1oySBXKEeFLv/K0JpaWw8N+XlI4iHuGb3xIo1up4U0a7\nhaiSRnVowBvdGrL19DUW77+sdBy9ksLbACRn5TFyzWksTY3ZMLYN9pamSkcSosKp72DJmI4N+OFs\nCjGpd5WOIx7ixp18vjt1DX+fejSQdQmEqLLe7d0Efx8nvtp3mU0nk5SOozdSeCssPaeAEWtOUVhS\nyqZxbalnb6F0JCEqrDe6N8LOQs1nu2VRHUO1eN9lSkt1TOkho91CVGUqlYoF/s3p6VGLWTsv8K/I\nVKUj6YUU3gq6k1/MqLVhZOQUsm5Ma9wd5c5+IZ6FnYWaN3s05mh8JocuZSgdR/yPiORsQs4kM6Zj\nA+o7VN0+vkKIe9TGRiwN8qG1iwPTQiL47WK60pHKnRTeCskv0jJ+Qxjx6TmsDPbFx7ma0pGEqBRG\ntHPBpbol83fHoS2VUW9DoS3VMWvnBWpam8ncbiFEGXO1Md+O9qOxow2vbz5LeFKW0pHKlRTeCijW\nljJpy1nOJN3mq2HedG5cU+lIQlQapiZGzOzTlItpOYTIojoGI/RMMudT7vDBix7Sa10IcR9bczUb\nx7bB0daMMevCiLtZee/TkcJbz0pLdbyzPZIDcenMG9icfi3qKB1JiL9UXFzM9OnTGT58OEFBQSQk\nJNy3f8eOHbz00ksEBQWxfft2AEpLS5k1axbDhg0jODiYpCT93jjTx6s2bV0dWPBLLOk5BXp9bvGg\n7Lwi/rEnjjauDgxoVVfpOEIIA1TTxoxN49piYWrMyDWnSc7KUzpSuZDCW490Oh2f7opmZ0Qq7/Zu\nQlBbWQpeGL5Dhw5RUlLCtm3bmDRpEl999VXZvqysLJYsWcKmTZvYvHkzu3btIiUlhX379lFUVERI\nSAjTp09nwYIFes2sUqmYP7g5BSWlfPKvaL0+t3jQP/de5G5BCXNkUTAhxF+o72DJxrFtKSwpZcSa\nU5Vy4EQKbz3aEpnNhhNJTOjsyhvdGiodR4jH4urqilarpbS0FI1Gg4nJHwvepqSk0KRJE+zt7TEy\nMqJ58+ZERkYSHh5O586dAWjVqhUXLlzQe263mta89UJjdkfdZG/0Tb0/v7gnKuUOW05fY2R7F5rW\ntlU6jhDCwDWpbcPa0a1Jv1vIqLVhaIq0Skd6rvS2ZHxVt/7YFTZH3maIrxMfvOghoz6iwrC0tOT6\n9ev07duX27dvs2LFirJ9Li4uxMfHk5mZiZWVFSdOnKBBgwZoNBqsrf9YkdDY2JiSkpL7ivbfxcbG\nllv2LrV0/OBgyvvfR+BQ4oS16ZMtTFVQUFCu+Z5FRchWqtPxzu5U7M2M6edcvj/rJ2HI750QAnxd\nqrEi2JfxG8L4ZH8R2z2aYmlaOUrWyvEqDFxoWDKf7IqhfX1LFgxuLkW3qFDWr19Pp06dmD59Ojdu\n3GDUqFHs2rULMzMz7OzseP/995kyZQr29vZ4enpSrVo1rK2tyc3NLfsepaWlf1p0A3h4eJRr/sV2\n9Riw7Cg/JuiYP/jJnis2Nrbc8z2tipAtNCyZi5mFLBzaEr+WTkrHKmPI7114eHi5fe+VK1dy4MAB\niouLCQwMZOjQoWX7Dhw4wLJlyzAxMcHf35+AgIByyyHE4+jqXpMvh7Xiza3nmLgpnG9H+WFmUvFX\n9ZapJuVsZ8R1Zvx4ni7uNZnZ1RETY3nLRcVia2uLjc29HvN2dnaUlJSg1d679FdSUkJMTAxbtmxh\n8eLFJCYm4uPjg4+PD4cPHwYgIiICd3d3xfI3d7JjfGc3tp6+xsnEW4rlqGru5BWzYE8cfi7VGOxT\nT+k4Vd6pU6c4d+4cW7duZdOmTdy8+cf0q+LiYubPn8/atWvZtGkTISEhZGZmKphWiHv6t6jLW+1r\ncuRyJpO3nKNYW6p0pGcmVWA5+nf0TaaFRtK6gQMrR/hiaiwj3aLiGT16NNHR0QQFBTFq1CimTp3K\n/v37CQkJKRvFHjRoEMHBwQQHB+Pg4ECvXr0wNTVl+PDhzJ8/n/fff1/R1zC1pzsu1S2Z+cN5Coor\n13xBQ7Xw14tk5xUxZ4CXXOUzAEePHsXd3Z1Jkybx2muv0a1bt7J9CQkJODs7Y2dnh6mpKb6+voSF\nhSkXVoj/8rfGNnzyUjN+jUnjne2RFX59BplqUk6OXM5g8pZzeNWzY+3o1lg84dxSIQyFlZUVixcv\nfuj+yZMnM3ny5Pu2GRkZMWfOnPKO9tgsTI2ZP6g5Qd+e4qt9l5nZt6nSkSq1hKxCNp+8TnA7F5rV\nlRsqDcHt27dJTU1lxYoVpKSk8Prrr7Nnzx5UKhUajabsqhbc+39eo9H86fcx5Lnxhjx335CzgWHn\nKygooK0DjPFxYN3ZVApzc3izfY0K+we9FN7l4PSVLCZsPINbTSs2jGmNtZm8zUIorUOjGgT4ObH6\nSCL9W9TBq56d0pEqJZ1Ox/KTmVSzNGVaryZKxxH/YW9vj5ubG6ampri5uWFmZkZWVhbVq1d/4J6M\n3Nzc+wrx/2aoc+PBsOfuG3I2MOx8v2eb7QGWdnEsO5hA3Vo1+Lh/U8WL76e5J0Ommjxn51OyGbs+\njLr2Fmwe3xZ7S1OlIwkh/uPDF5vhYGXKzB/PU1IJ5goaopCwZGIyCpnRpyl2lrJCpaHw9fXlyJEj\n6HQ60tLSyM/Px97eHoCGDRuSlJREdnY2RUVFnDlzBm9vb4UTC/Ggd/7WhNEdGrD22BW+/PWS0nGe\nigzFPkdxN+8ycu1pqlmp2TK+HTWszZSOJIT4L3aWaua87Mnr353l26NXeK2r9NN/nhIzNMz5vxha\n1jZniK/hdDER0L17d8LCwhgyZAg6nY5Zs2axe/du8vLyGDZsGDNnzmTcuHHodDr8/f1xdHRUOrIQ\nD1CpVMzq34y8ohKWHIjHysyEiRXsPC6F93OSmKFhxLenMTcxZsv4dtS2M1c6khDiT/RtXofeno58\n+eslenvWxrWGldKRKoWiklLe2haBqYkR0zvVwsioYs6/rMzee++9h+7r0aMHPXr00GMaIZ6OkZGK\n+YNbkFekZf4vcViaGhPcvoHSsR6bTDV5Dq5m5hK4+iQ6nY7N49tS38FS6UhCiL8wZ4AX5mpjJn13\nVrqcPCcLf71I1PU7LBjcgppWMqYjhCg/xkYqvhzWip4ejny8M5qtp68pHemxSeH9jK7dyiNw9UmK\ntTq2TGhHo1rWj36QEEJRjrbmfDmsJTE37jJ7Z7TScSq8o5czWXkokaC2zvTxqq10HCFEFaA2NmLZ\nK950a1KTD36KYvuZZKUjPRYpvJ9Bcta9oju/WMvmcW1pUvvP7wIXQhieHk0dmdy9ESFnkgkNqxgn\nbEOUlVvEtNAIGta04uN+zZSOI4SoQsxMjFkxwpdOjWrw3g/n+elcitKRHkkK76d0PTufoG9PklNQ\nzOZxbaVXrRAV0NRe7nRsVJ2Pd14gOvWO0nEqHJ1Ox3vfnyc7r5glgd6yXoEQQu/M1casCvajnWt1\npodG8q/IVKUj/SUpvJ/CzTsFBK0+SXZeMZvHt5V+wEJUUMZGKpYM96aapSmvbz7LnfxipSNVKJtP\nXWNfbBoz+jbFs66cB4UQyrAwNWbNaD/8GjgwNSSC3VE3lI70UFJ4P6H0uwUErj7JLU0RG8e2oYWT\nvdKRhBDPoLq1Gcte8SE1O5/poZGUVvDliPXlUloOf/+/GLq612RMhwZKxxFCVHGWpiasHd2aVvXt\neXPrOf4dfVPpSH9KCu8nkJFTSODqk6TfLWDD2NZ4O1dTOpIQ4jnwdanGh/082BebxsrDiUrHMXgF\nxVre3HoOG3MTvhjaUloHCiEMgrWZCevHtMarnh2TtpzlQFya0pEeIIX3Y8rUFBK0+iSp2QWsG9MG\nXxcHpSMJIZ6j0R0a0K9FHf65N47jCZlKxzFoC36JI+5mDl8MbUlNG1koTAhhOGzM1WwY2waPOra8\ntuksv11MVzrSfaTwfgwZOYUErjpJ8u081o5uTRtXKbqFqGxUKhWf+7fAtYYVb249R9rdAqUjGaT/\nO5/K+uNXGdvRlW5NaikdRwghHmBnoWbj2DY0drTm1Y3hHIwznOJbCu9HSL9bwPBVJ0i5nc+60W1o\n37C60pGEEOXE2syEb0b4kluoZfKWs5TIfO/7HE/IZFpIJH4u1XivTxOl4wghxEPZW5ry3fi2uNe2\nZuKmcPbHGsa0Eym8/8LNOwUMX3WSG3cK2DBWim4hqgJ3RxsW+Dcn7OptFh5NRyvFNwAxqXeZuDEc\nl+qWfDvKD3O1tA4UQhg2e0tTvhvXjia1bXhtczj7YpQvvjL6SdUAABMcSURBVKXwfogbd/IZvuoE\naXcL2Di2jUwvEaIKGdCqHjP6NOW3K7nM/OF8le90kpyVx6h1p7E2N2HD2DbYW5oqH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# What happens at the start?\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 80000, g = 0.02, n = 0.01,\n", " s = 0.15, T=25)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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tLTVq1ODtt9/G29ubCRMmcOHCBWJjY+natSvjxo0r/1+gCBAbG8vPP//M1q1b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\nr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w8Pb3T8dOdGRETg7+/f5DWa0qNHjwvdVJfKzMz0+DaAd7TDU9pQvKaIyzpE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\n8ezcudPMiPITpBdZuf2lnRzLKefl2XEq1uUc6UVWAny96Rwea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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Now let's start with a low initial capital stock...\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 1000, g = 0.02, n = 0.01,\n", " s = 0.15)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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uXJl33nkHb29vxowZQ1JSEtHR0XTq1IlRo0aV/i9QBIiOjuaHH35gx44duLm5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\nB5DQqY3KiYRwbGmHipj12T7ySqr406DOPD2iu3xcL0QzuaVXKG193Xloc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.15 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Now let's start with an intermediate capital stock\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 6210, g = 0.02, n = 0.01,\n", " s = 0.15, delta = 0.03)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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QrK2tqV27Nu+88w5eXl5MmDCBc+fOkZCQQI8ePXjttdcq/hcoAiQkJPDjjz8S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\n4cX7wuEt558Jujl5lY2LQLCGnajt+EpMTuvgxQo8teUYAGDL4yMxoi8nH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.24 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# Note the asymptote for the capital-output ratio: 2.5±:\n", "# = s/(n+g+delta)\n", "# let's see if this holds in general\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 6210, g = 0.02, n = 0.01,\n", " s = 0.24, delta = 0.03)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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Ds3DhQqytralZsybvvvsuXl5eTJgwgYsXLxIfH0/37t15/fXXy/4NFAHi4+P5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PAAAg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.01 is the labor force growth rate: n\n", "0.02 is the efficiency of labor growth rate: g\n", "0.03 is the depreciation rate: delta\n", "0.24 is the savings rate: s\n", "0.5 is the decreasing-returns-to-scale parameter: alpha\n" ] } ], "source": [ "# What are the rates of growth of this economy in the long run?\n", "\n", "sgm_200yr_run(L0 = 1000, E0 = 1, K0 = 15900, g = 0.02, n = 0.01,\n", " s = 0.24, delta = 0.03, T = 200)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.019134460337190969" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# output per worker grows from 50 in year 125 to 210 in year 200\n", "\n", "np.log(210/50)/75" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Output per worker grows at the rate of growth of the efficiency\n", "# of labor once the economy has reached its steady-state growth\n", "# path...\n", "\n", "# We see that this happens: now we can do the algebra to get\n", "# more insight into why this model works out this way..." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }