{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Potentials\n", "\n", "In this Notebook you can find the different Potentials, that are already implemented and can be used for your projects. Play around with the parameters to get familiar with the Potentials\n", "\n", "\n", "Here you also can find classical Potentials like the harmonic Oscillator or the Lennard Jones Potential." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "#if the package was not installed:\n", "import os, sys\n", "path = \"../\"\n", "sys.path.append(path)\n", "\n", "#Imports\n", "##general\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "##Ensembler\n", "from ensembler.potentials import OneD as potentials1D\n", "from ensembler.potentials import TwoD as potentials2D\n", "\n", "import ensembler.visualisation.plotPotentials as vis\n", "\n", "###Plotting:\n", "\n", "#params\n", "test_timing_with_points =1000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Classics\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Harmonic Oscillator\n", "\n", "The Harmonic Oscillator is one of the most used modelling potentials1D. Its based on hooke's law and can be used to describe obviously springs, but also covalent bonds of two atoms and many more physical relations.\n", "\n", "\n", "Functional:\n", "\n", "$V = \\frac{1}{2}*k*(r - r_0)^2+V_{offset}$\n", "\n", "with:\n", "* $k$ force constant\n", "* $r_0$ optimal position (optimal covalent bond length)\n", "* $r$ current position (current bond length)\n", "* $V_{offset}$ minimal potential energy offset\n", "\n", "first partial deviation by r\n", "\n", "$\\frac{\\partial V}{\\partial r} = k*(r - r_0)$\n", "\n", "\n", "\n", "#### 1D" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 0 ns\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0sAAAHgCAYAAAB0APZyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdeVxVdeL/8ddlB1EUZHFJBRcwzS0MXEHUtM3dNC21mrH6mTM1NZVN89UaK/NbMzmN1eikUGlWpmY2aWqCuGCaYe6iooaKLC6gsgic3x/E/YpcFRU4F3g/Hw8eD++55577voBc3pzP53MshmEYiIiIiIiISCkOZgcQERERERGxRypLIiIiIiIiNqgsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjaoLImIXYiNjcVisTBt2jSzo9g1i8VCZGSk2TEqxLRp07BYLMTGxlq3Xe37oCa97pqsRYsWtGjRwvRjiIhUFJUlEZFaaPXq1YwYMYImTZrg6upKw4YN6dOnD3PmzKGgoMDseJWiKgtXZGQkFovF+uHg4ICPjw99+/blq6++qpBjmyE6OhqLxUJ0dLQpzy8iUtWczA4gIiLlt3fvXjw8PG768QUFBTzxxBPMmzcPT09P7r//fgIDA8nMzOS7777jiSeeYO7cuaxYsQJ/f/8KTF7W008/zejRo2nWrFmlPo+ZXnzxRdzc3Lh06RIHDhxg2bJl/PDDD8ycOZM///nPZsercGvXrjU7gohIhVJZEhGpRkJCQm7p8S+++CLz5s0jPDycpUuXEhAQYL0vLy+PZ555hg8//JAhQ4YQHx+Pk1PlvU00bNiQhg0bVtrx7cFLL71E/fr1rbfXrl1L//79mTp1KpMmTbql4muPWrZsaXYEEZEKpWF4ImJ3tm7dSr9+/fD09MTb25uxY8eSnp5eap958+YxaNAgmjdvbh1GNnjwYLZt21bmeJcPHVq6dCnh4eHUqVPHOiTr8vu//vprQkND8fDwoHnz5rzzzjsAGIbB3//+d9q0aYObmxvt2rVjxYoVNvP/8ssvDB8+HF9fX1xdXWnTpg2vvPIKFy5cKLXfkSNHsFgsTJgwgYMHDzJkyBC8vLyoW7cuDzzwAIcOHSpz7KsNJTt58iR//OMfadWqFW5ubvj6+tK7d+9Sw6UOHDjAu+++i4+PD8uXLy9VlABcXV15//336d27NwkJCcTExJT5ugwZMoSmTZvi6upKo0aNiIiIYN68eWXybN++nVGjRtGoUSNcXV1p2rSptYCVsDVn6Ub89NNPTJo0iXbt2lGvXj3q1KlDly5dmD17NoZhWPcrmQcFEBcXV2p43OXPnZ6ezuTJk2nevDkuLi40atSICRMmcOTIkTLPXTKv5vTp0zz55JM0btwYR0fH676Wvn37EhISQk5ODnv27LFuP3/+PK+88gpt2rTB1dUVX19fhg8fzs6dO0s93mKxEBcXZ/13yceVc7y++uorIiMj8fLywt3dnc6dOzNnzpwyeS7/GixYsICOHTvi5uZG06ZNeeWVVygsLLTuO2HCBB599FEAHn30UetzXz6/yNZ8owMHDvDnP/+ZTp060aBBA+v/n+nTp3Pp0qVrfr5ERMymM0siYle2bt3KzJkz6devH08++SQbN25k4cKFHD58mE2bNll/6Z00aRKdOnXi7rvvxsfHh6NHj7Js2TJWrVpFbGws4eHhZY79+eefs3btWgYPHkxkZGSZsyZLlixh7dq1DB06lJ49e7JkyRKef/55PDw82Lt3L0uWLOH++++nqKiITz/9lGHDhrFnzx5atWplPUZ8fDwDBgygsLCQBx98kKZNmxIbG8vrr7/O6tWriYuLw83NrdTzHjlyhPDwcDp27Mjvf/97du7cyYoVK9i9eze7d+/G3d39mp+zvXv30qdPH06dOkVUVBQjRowgKyuL7du3M2vWLCZMmABATEwMRUVFTJw4EV9fX5vHslgsvPzyy6xfv5758+fz+OOPA/Dzzz/Ts2dP6tSpw+DBg2nUqBFpaWkkJiby2Wef8dhjj5X6PD/yyCM4ODgwZMgQAgMDSU1NJT4+nq+++opevXpd8/WUV8lwwd69e3PfffeRnZ3N999/z9NPP01SUhLvvvsuUPwL/NSpU3n11Vdp3ry59fNRch8UF6Xw8HAOHz5M//79GTNmDAcOHODjjz/m22+/ZePGjbRp06bU8+fl5REVFUV+fj7Dhw+nsLCQevXqXTf35UUOIDc3l6ioKLZu3UpYWBjDhw8nJSWFL774gpUrV7Jq1Sp69uwJwNSpU4mOjubo0aNMnTrVeozLC/Sf//xn3n77bZo3b86oUaPw8PBg9erVPPHEE+zdu5d//OMfZTK99957rF69msGDB9OnTx+WL1/O66+/TkFBATNmzABgyJAhnD17lq+//prBgwfTqVMngFJnzmxZsmQJ8+fPJyoqin79+pGXl0dcXBx//etf2bZtG8uWLbvu50xExDSGiIgdWLdunQEYgLF48WLr9sLCQiMqKsoAjE2bNlm3Hz58uMwx9uzZY3h6ehp9+/YttX3+/PkGYDg6Ohrr168v87iS+11cXIzt27dbt6ekpBiurq6Gl5eX0bZtWyMjI8N63+LFiw3AmDx5cqmsLVu2NCwWixEbG1vqOR577DEDMF599VXrtuTkZOtrfvvtt0vtP2HCBAMwFi5cWGo7YERERJTa1qVLF5v7GoZh/Prrr9Z/R0ZGGoCxZs2aMvtd7uLFi4aTk5Ph4uJiFBQUGIZhGM8++6wBGDt27Ciz/+Wfl5MnTxoeHh5G/fr1jT179pTar6ioyDh+/Lj19tSpUw3AWLdunXVbyffB1KlTr/u6jx49ahQWFpbadunSJWPAgAGGg4ODceTIkeseo0TJ5/u1114rtT0mJsYAjD59+pTa3rx5cwMw7r//fiMvL6/M8SIiIgzAOHPmTKnta9asMSwWi+Hh4WFcuHDBMAzDmDZtmgEYjz32mFFUVGTdNzY21rBYLEarVq1Kvc6SY9uycuVKAzAGDx5s5OTkWLfn5+cbgwcPNgDjxx9/tG4v+Ro0aNDASEpKsm7PzMw0vL29DU9Pz1Kvr+T/yvz5820+f/PmzY3mzZuX2paSklLmc1RUVGT87ne/MwAjPj7+uscQETGLhuGJiF2JiIhg+PDh1tsODg6MGzcOoNQQu8DAwDKPbdu2LX369CE+Pp78/Pwy9w8dOvSaZzUefvhhOnfubL3dpEkTevbsyblz55gyZQo+Pj6ljuXi4sKOHTus2zZs2MChQ4cYMmQIERERpY79xhtv4OrqWmZoG0BQUBDPPvtsqW0lZz9sDSu83JYtW9i+fTsDBgzgoYceKnN/06ZNrf9OTU0ts80Wd3d3fHx8yM/PJzMzs8x9V7r88xITE8PFixd58cUXadu2ban9LBYLjRs3vuZz34hmzZrh4FD6bczJyYmJEydSVFTEunXrynWc/Px8Fi1aREBAAC+88EKp+8aNG0enTp1Yt24dv/76a5nHzpgxAxcXl6see8aMGUybNo1XXnmFkSNHMnDgQAzD4LXXXrPOV4qJicHNzY033nij1Cp3ERERDBo0iIMHD7Jx48ZyvZbZs2djsViYM2dOqTOYzs7OTJ8+HSg+83elP/zhD6XOkHp7ezNo0CDOnz/P/v37y/XcV9OkSZMynyOLxcJTTz0FwJo1a27p+CIilUnD8ETErlxeVko0adIEgLNnz1q3HTx4kDfeeIN169Zx4sSJMuUoMzOTRo0aldoWGhp6zefu2LFjmW0l83quvM/BwQFfX19OnDhh3ZaYmAhgc06Rv78/ISEh7Nixg+zsbOrWrWu9r0OHDmV+6bf1mm3ZunUrAHffffc197tRxm9DxUp+eR85ciSzZs0iLCyMhx56iKioKHr16oWfn1+V5LElLy+Pf/7zn3z++efs37+f8+fPl7r/5MmT5TrOvn37yM3NpVu3bri6upa5PyIigsTERBITE7ntttus293d3WnXrt01j/3WW28BxZ/H+vXrExERwaRJkxg6dCgAWVlZJCcn07lzZ5urD0ZGRvL111+TmJhYruGLW7ZsoV69erz//vtl7iuZH7Rv374y95X3/93NKCoq4qOPPiI6Oprdu3eTlZVVaihieb9OIiJmUFkSEbvi5eVVZlvJ3KKSyeZJSUncddddZGdn069fP4YOHYqnpycODg4sW7aMHTt2kJeXV+Y4V/5ifyVb801Knvtq910+QT0rKwvgqktuBwQEsGPHDrKyskqVpfK85qs5d+4cQLnO2AQEBLBv3z5SUlIIDg6+6n65ubmcPn0aFxcXvL29AejWrRtr167l9ddfZ+7cubz//vtYLBb69OnDrFmzaN++/Q3nuVXDhw/n22+/JSQkhDFjxuDr64uTkxNHjhwhJibG5veALeX5ul2+X4mrzfu63JkzZ645p+dmn/tqTp8+TUFBAa+++upV97lyoRG4te/B65k8eTLvv/8+zZs3Z9iwYQQEBODi4sLZs2eZNWtWub9OIiJmUFkSkWrn3Xff5ezZsyxcuLDM0LMtW7aUGhp3ucq+kGdJoTp16pTN+0u2l2cRgPIq+UX88jNcV9OtWzdiY2NZu3Ytffv2vep+69evp6CggB49euDo6GjdHhkZSWRkJBcuXGDTpk189dVX/Oc//2HAgAHs378fT0/PUnmuXG2vIm3dupVvv/2WgQMH8u2335Y6M/f555/bHO54NTf7dauI76eK/p6pV68e7u7upKSk3HK2inDq1Ck++OADOnbsyObNm0sN49yyZQuzZs0yMZ2IyPVpzpKIVDslS2o/8MADpbbn5OSwfft2MyIBWFcHW79+fZn70tLS2LdvH0FBQaXOKt2qrl27AvD9999fd9/x48djsViYO3dumblIJQzD4M033wSwLhN9pTp16tC/f38+/PBDJkyYwIkTJ/jpp59uOM+tKPkeuO+++8oMYbza/B4HBwebZ0mCg4Nxc3MjISHB5ly3kq+nrWGat6pevXoEBgayd+/eMsvjA9Zlwku+twBrgbX1Wu666y6OHz9uc35VRbjWc9uSnJyMYRj069evzHy38s7DEhExk8qSiFQ7zZo1A0r/smUYBi+//DJpaWlmxaJnz54EBQWxdOlSNm3aVOq+V155hdzcXOtiFRXlrrvuokuXLqxatYrPPvuszP3Hjx+3/js4OJjJkyeTkZHB4MGDy5zNyM/PZ/LkycTGxhIWFlYq64YNG8jOzi5z/JLPd8kvwuPGjcPDw4O33nqLvXv3ltrXMIwKm59i63sAICEhweb1hKB40YLLPx8lXF1dGTVqFCdPniyzrPaCBQvYvn07kZGR1uesaOPGjSM3N5f/+Z//KbV9w4YNLFu2jJYtW9KjR49SrwOw+VomT54MwOOPP24dEnm55ORkm9eNKq9rPbctJZ+zzZs3l5qndODAAWspFxGxZxqGJyLVzpNPPsn8+fMZNmwYo0aNwsvLi/j4eJKTk4mMjLzpi5zeKgcHB+bNm8c999xDVFQUDz74IE2aNCEuLo7Nmzdz5513llltrSJ8+umnREZGMmbMGD766CO6du1KdnY2iYmJXLhwgZ9//tm679tvv83Zs2f5+OOPad26Nffffz+BgYFkZmby3XffcezYMe68806+/vprnJ2dSz1u7dq1REVFERQUhKOjIxs3biQhIYHevXtbzygFBAQwb94868qCQ4cOJTAwkLS0NNavX8+9995rvf7RrQgLCyM0NJRFixaRmppK165dOXz4MMuXL2fQoEF89dVXZR7Tp08fvvzyS0aNGkWHDh1wdHRkzJgxNGvWjJkzZxIXF8dLL73EunXr6NKlCwcOHGDp0qX4+PjwwQcf3HLmq3nxxRdZsWIFH374Ib/88gu9e/fm+PHjfP7557i5uTFv3rxSZ8/69OnD4sWLGTVqFAMHDsTV1ZWePXvSs2dP7r33XqZMmcKbb75Jq1atGDBgAE2bNiU9PZ29e/eSkJDAwoULy1w4trzCw8Nxc3Nj1qxZZGVl0bBhQ7y8vKwr212pcePGDB06lKVLl9K1a1f69OnDiRMnWL58OQMGDLD5dRIRsScqSyJS7XTp0oWVK1fy17/+lS+//BIXFxciIyP57LPPeP31103NFhERwaZNm3jttdf49ttvyc7OplmzZkyZMoWXX375uheYvRlt27Zl+/btvPHGG3z77besX7+e+vXrc/vtt5dZktzZ2ZmYmBjGjBnDv//9b2JjY1m8eDGenp506NCBl19+mccee6xUUQJ46qmnqFevHlu2bGHt2rU4OjrSokUL3nrrLSZNmlRq/s6oUaMICgpixowZrFmzhqysLPz8/LjrrrsYOXJkhbxmR0dHVqxYwYsvvsj333/Pli1baNu2LfPnz6dJkyY2fwl/9913KSoqYs2aNXz55ZcYhkF4eDjNmjXDz8+PLVu28Nprr7F8+XJ++OEHvL29GTt2LK+++qrNpeoriru7O+vWrePNN9/kiy++4J133qFu3brcd999TJ06tczwv9///vccOnSIL774gr/97W8UFhYydepU64Vr33jjDXr16sW//vUvVq5cSVZWFr6+vrRq1Yr//d//pV+/fjed1cfHh88//5xXX32V2bNnk5ubS/Pmza9alqB4afRmzZqxdOlS3nvvPVq2bMnrr7/OAw88oLIkInbPYhhXXEpcRERERERENGdJRERERETEFpUlERERERERG1SWREREREREbFBZEhERERERsUFlSURERERExAaVJRERERERERtUlkRERERERGxQWRIREREREbFBZUlERERERMQGlSUREREREREbVJZERERERERsUFkSERERERGxQWVJRERERETEBpUlERERERERG1SWREREREREbFBZEhERERERsUFlSURERERExAaVJRERERERERtUlkRERERERGxQWRIREREREbFBZUlERERERMQGlSUREREREREbVJZERERERERsUFkSERERERGxQWVJRERERETEBpUlERERERERG1SWREREREREbFBZEhERERERsUFlSURERERExAaVJRERERERERtUlkRERERERGxQWRIREREREbFBZUlERERERMQGlSUREREREREbVJZERERERERsUFkSERERERGxQWVJRERERETEBpUlERERERERG1SWREREREREbFBZEhERERERsUFlSURERERExAaVJRERERERERtUlkRERERERGxQWRIREREREbFBZUlERERERMQGlSUREREREREbVJZERERERERsUFkSERERERGxQWVJRERERETEBpUlERERERERG1SWREREREREbFBZEhERERERsUFlSURERERExAaVJRERERERERtUlkRERERERGxQWRIREREREbFBZUlERERERMQGlSUREREREREbVJZERERERERsUFkSERERERGxwa7L0rRp07BYLKU+AgICrPcbhsG0adNo3Lgx7u7uREZGsnv3bhMTi4hITbd+/XoGDRpEkyZNsFgsREdHl7r/Zt+b4uLiuPPOO3FzcyMoKIgPP/ywkl6BiIiUl12XJYDg4GBOnjxp/di5c6f1vpkzZ/LOO+/w3nvvsXXrVvz8/Ojfvz/Z2dkmJhYRkZrs/PnztG/fnlmzZuHu7l7m/pt5b0pOTubee++le/fu/Pzzz0yZMoXJkyfz1VdfVeZLERGR67AYhmGYHeJqpk2bxuLFi9m1a1eZ+wzDoHHjxjz99NP85S9/ASAnJwc/Pz/efvttnnjiiaqOKyIitYynpyf/+te/mDBhAnDz700vvvgiS5YsISkpybrtd7/7Hbt372bz5s2V/jpERMQ2uz+zdPjwYZo0aUJgYCCjR4/m8OHDQPFf4VJTU7n77rut+7q7u9O7d282bdpkVlwREanFbva9afPmzaUeAzBgwAC2bdvGpUuXKi2viIhcm5PZAa4lLCyM6OhoQkJCSEtLY/r06XTv3p3du3eTmpoKgL+/f6nH+Pv7c/z48asec86cOcyZMweAn/ckcUdIK5wcLJX3IkREqqF9J7Nxy8skIyPD7CjVys2+N6WmptKvX78yjykoKCAjI4NGjRqVeczl72f79u0jJCTkVuOLiNQcRQWQeRAK8jiS53XT72d2XZbuueeeUrfDw8MJCgoiJiaG8PBwACyW0kXHMIwy2y43ceJEJk6cCIBro9a8GbOCe+4o+yYkIlJbHc28QMT/xtJwzVSzo1RbN/redLXH2Npe4vL3s9DQULZt23azcUVEapacMxAzCNI9YMw3hI76800fyu6H4V3O09OTdu3akZSUZF0Vr+SveCXS0tLK/EXvahwsFhIOZ1Z4ThGR6mzL4dNmR6i2bva9KSAgwOZjnJyc8PHxqfigIiI1Ve45+GQYpO+D0QuhZZ9bOly1Kku5ubns27ePRo0aERgYSEBAAKtXry51f3x8PN27dy/X8TxcHEnQLwUiIqVsST6Ndx0Xs2NUSzf73tStWzfWrFlTatvq1asJDQ3F2dm50vKKiNQoedmwYCSk/gIPfgyt+13/Mddh12Xp+eefJy4ujuTkZLZs2cKIESO4cOEC48ePx2Kx8MwzzzBjxgyWLFnCrl27mDBhAp6enowZM6Zcx6/j6sT+U9mcvpBfya9ERKT62JKcyV0tvM2OYbfOnz9PYmIiiYmJFBUVcezYMRITEzl27Fi535vGjRvHuHHjrLeffPJJUlJSeOaZZ9i7dy//+c9/iI6O5vnnnzfjJYqIVD/5F2DhKEjZBiPmQfA9139MOdj1nKWUlBQeeughMjIy8PX1JTw8nISEBJo3bw7ACy+8QE5ODpMmTeLMmTOEhYXx/fffU7du3XId39PVkYvAj8mZDGyveUsiIsfP5pByJofHewaiGTC2bdu2jT59/m9Yx9SpU5k6dSrjx48nOjq6XO9Nx44dK3XMwMBA/vvf//Lss8/ywQcf0LhxY/75z38yfPjwKntdIiLV1qUc+Gw0HNsMw+bC7YMr7NB2fZ2lynbnnaFcvHc6o7rexrRB7cyOIyJiuiXbU/jTFzv47x96MW5QlBYNqCa0wIOI1FqXcmHRQ3BoHQz9EDqOLrPLrfyMtOszS5XNYoE7mzfQIg8iIr9JOJyJl7szIQHlO0MvIiJimoJ8+GIcHPoBBv3LZlG6VXY9Z6kqhAd5sy81mzOatyQiQsLh04QFeuOg68+JiIg9K7wEix+FpFVw/z+gyyOV8jQqS0HFS7JuSdaqeCJSux0/m8Ox0xfp1lJLVYuIiB0rLICvfgf7VsA9MyH0sUp7qlpfljo0rY+bswNbkjUUT0Rqt4RDxT8HS/6IJCIiYneKCmHZU7BnGdz9OoQ9UalPV+vLkouTw2/zlnRmSURqt4TDmdT3cCbYX/OVRETEDhUVwfLJsPML6DsVuj9d6U9Z68sSQHigD/tSszh7UfOWRKT2SkjO1HwlERGxT0VFsOIZSFwAkS9Drz9VydOqLAHhLX0wDPhR85ZEpJZKOXORX0/n0E1D8ERExN4YBnz3AmyPgV7PQcQLVfbUKktAh6ZeuDo5aCieiNRaJT//wrW4g4iI2BPDgFUvw9a50H0yRP21+Po/VURlCXB1ctT1lkSkVks4nEkDD2fa+Gm+koiI2AnDgDVTIeF9CHsS+v+tSosSqCxZhQf5sDc1i3MXL5kdRUSkyiUcziQs0EfzlURExH6sewM2zoLQx2HgjCovSqCyZBUW6F08b+mIhuKJSO3y6+mLpJzJ0fWVRETEfsTNhPUzofMjcO/bphQlUFmy6nhb/d/mLWkonojULiU/93R9JRERsQsb/gHrXoeOD8ED/wQH8yqLytJv3Jwd6dJM85ZEpPZJOHwa7zoutPbzNDuKiIjUdptnw5pp0H4EDJ5talEClaVSwoK82XMyi3M5mrckIrVHwuFMwoN0fSURETHZj3OLV75rOwiG/hscHM1OpLJ0ufCg4ustbdX1lkSklvj19EWOn83REDwRETHXT9Hw3+ch+D4YMQ8cncxOBKgsldLptvq4aN6SiNQimzVfSUREzPbzAvjmGWh9N4ycD47OZieyUlm6TPG8pfps0ZklEaklEg5n4qP5SiIiYpZfvoCvJ0FQJDz4CTi5mp2oFJWlK4QF+rD7xDnNWxKRGs8wDBIOZRIe5IPFpCVZRUSkFtu9FJY+AS16wuiF4OxmdqIyVJau0K2lD0WatyQitcCvp3M4cS6X8CBvs6OIiEhts/cbWPw43BYGDy0CFw+zE9mksnSFzs2Kr7e06ZDmLYlIzabrK4mIiCn2r4QvH4UmXWDsl+Bqv0PBVZau4OrkSNcW3mw6lGF2FBGRSpVwOJOGni600nwlERGpKgfXwBePQEB7GLsYXOuaneiaVJZs6NbSh32p2WSczzM7iohIpTAMg82HMwnTfCUREakqh2Nh0VjwDYaHl4B7fbMTXZfKkg3dWxYPSdES4iJSUx07fZGT53I1BE9ERKrGkY2wcDR4B8EjX4NH9Zgvq7Jkwx1NvKjr6qR5SyJSY5X8fOumxR1ERKSyHdsCC0ZC/WYwbjnUqT5/qFNZssHJ0YGwIG82qyyJSA218WAGfnVdaemr+UoiIlKJUn6CBSOgbgCMXw6evmYnuiEqS1fRrWVDkjMucOJsjtlRREQqlGEYbD6USY9WDTVfSUREKs+JRPh0aPGQu/HfFBemakZl6SpK5i1pKJ6I1DT7T2WTeSHf+nNORESkwqXugk+GgGu94qLk1cTsRDdFZekqgv3r4l3HRUuIi0iNs/Fg8R+BurdqaHISERGpkdL2wseDwMm9uCjVb2Z2opumsnQVDg4WugX5sPlQJoZhmB1HRKTCbDqYQQsfD5rUdzc7ioiI1DQZSRAzCBycYcIK8A40O9EtUVm6hu6tfDh5LpcjmRfNjiIiUiEKCovYknxaZ5VERKTiZR6CmAcAo3gxB5+WZie6ZSpL19C9ZfEvExqKJyI1xS/Hz3E+r4AeLVWWRESkAp05UnxGqSCveHlw32CzE1UIlaVraOHjQSMvNy3yICI1xqaDxX/8Cdf1lSpVixYtsFgsZT7uu+8+m/sfOXLE5v4rV66s4uQiIjfh7K/FZ5Tyz8O4r8H/drMTVRgnswPYM1iihMUAACAASURBVIvFQreWPsTtT6eoyMDBQUvsikj1tvFgJm0b1cPH09XsKDXa1q1bKSwstN4+efIkd955Jw8++OA1H7dy5Uo6duxove3trVIrInYu60RxUco5B+O/hkYdzE5UoVSWrqN7y4Ys2X6c/aeyaduontlxRERuWu6lQn46doZx4c3NjlLj+fqWvujiRx99RL169Rg5cuQ1H+fj40NAQPW7DomI1FLZp4qH3l3IgHHLoHFnsxNVOA3Duw5db0lEaoqfjp4hv6CIHlrcoUoZhsFHH33Eww8/jIeHxzX3HTZsGH5+fvTo0YPFixdXUUIRkZtwIaN4efCsEzD2S2gaanaiSqGydB2N67sT2LAOm7XIg4hUcxsPZuDkYKFroIZ2VaXVq1eTnJzM7373u6vu4+npydtvv80XX3zBf//7X/r27cuoUaP49NNPr/qYOXPmEBoaSmhoKOnp6ZURXUTEtoun4ePBcOYojPkcmnczO1Gl0TC8cujW0odvEk9QUFiEk6P6pYhUTxsPZdLxtvp4uupHf1WaO3cuXbt2pVOnTlfdp2HDhjz33HPW26GhoWRkZDBz5kwefvhhm4+ZOHEiEydOtO4vIlIlcs4UF6WMJBizCAJ7mZ2oUuk3/3Lo3tKH7LwCdp3IMjuKiMhNOZdziZ0pZ+nx29BiqRppaWl8/fXX/P73v7/hx4aFhZGUlFQJqUREblLuOfhkGKTvg9ELoGWU2YkqncpSOYQHlcxb0lA8Eamefkw+TZGBLkZbxebPn4+rqyujR4++4ccmJibSqFGjSkglInIT8rJhwUhI/QVGxkDr/mYnqhIai1EODT1dCQmoy6aDmfy/yFZmxxERuWEbD2bg5uxA52b1zY5SaxiGwX/+8x9Gjx5N3bp1S903ZcoUfvzxR9auXQtATEwMzs7OdO7cGQcHB7755htmz57NW2+9ZUZ0EZHS8i/AwlGQsg1GzoeQe81OVGVUlsqpW0sfFm45Rl5BIa5OjmbHERG5IZsOZdC1hbd+flWh2NhYDh48yIIFC8rcd/LkSQ4dOlRq2/Tp0zl69CiOjo60adOGefPmXXW+kohIlbmUA5+NhmObYdhcuH2w2YmqlMpSOfVo2ZD5G4/w09EzdG+pYSwiUn2kZedy4NR5hnZuanaUWqVPnz4YhmHzvujo6FK3x48fz/jx46sglYjIDbiUC4vGQnI8DP0Q7hhhdqIqpzlL5RTe0gcnBwsbkjRvSUSql82/XSeuRyst7iAiIuVUkA9fjodDa2HQe9Dxxude1gQqS+Xk6epE52b12XBQZUlEqpdNBzOp5+ZEu8ZeZkcREZHqoPASLH4UDqyE+/8BXR4xO5FpVJZuQM9Wvuw8fo4zF/LNjiIiUm4bD2UQHuSDo4PF7CgiImLvCgtgye9h3wq4ZyaEPmZ2IlOpLN2Anq19MAzY9NuQFhERe3cs8yIpZ3LooSXDRUTkeooKYdlTsHsp3D0dwp4wO5HpVJZuQMem9anr6qSheCJSbZT8vFJZEhGRayoqguWTYecX0Pd/oPtksxPZBZWlG+Dk6EB4Sx82HEw3O4qISLnEJ6XTyMuNlr51zI4iIiL2qqgIVjwDiQsgcgr0es7sRHZDZekG9WrdkF9P53A084LZUURErqmwyGDjwQx6tW6IxaL5SiIiYoNhwHcvwPaY4pIU8aLZieyKytIN6vnbUJZ4LSEuInbul5SzZOUW0LO1r9lRRETEHhkGrHoZts4tHnYX9VfQH9dKUVm6QYEN69CkvruutyQidm9DUgYWy//9kUdERMTKMGDNVEh4H8KehP5/U1GyQWXpBlksFnq08mHToQwKi2xfmV1ExB7EH8ygXeN6eNdxMTuKiIjYm3VvwMZZEPo4DJyhonQVKks3oWdrX7JyC9h5/JzZUUREbDqfV8D2o2fo2UpD8ERE5Apx/wvrZ0LnR+Det1WUrkFl6Sb0aOkDwIYkrYonIvZpy+FMCooMerfWEDwREbnMhndh3XTo+BA88E9wUB24Fn12boKPpyvtGtfTIg8iYrfikzJwc3bgzhYNzI4iIiL2YvP7xfOU2o+AwbNVlMpBn6Gb1LN1Q7YfO8OFvAKzo4iIlBGflE5YoA+uTo5mRxEREXvw41xYNQXaDoKh/wYHvT+Uh8rSTerVypdLhQY/Jp82O4qISCknzuZwKP0CvTQET0REAH6Khv8+D8H3wvCPwNHJ7ETVRrUqS2+88QYWi4Wnn37aus0wDKZNm0bjxo1xd3cnMjKS3bt3V3qW0BYNcHFy0FA8EbE7JZc26KmyJCIiPy+Ab56BVv1hZDQ4aYXUG1FtylJCQgJz586lQ4cOpbbPnDmTd955h/fee4+tW7fi5+dH//79yc7OrtQ8bs6O3NXCm40HVZZExL7EH8zAt64rwf51zY4iIiJm+uUL+HoSBEXCqE/BydXsRNVOtShL586dY+zYsXz00Uc0aPB/k5UNw+Ddd9/lpZdeYvjw4bRv356YmBiys7NZuHBhpefq2boh+09lk5aVW+nPJSJSHkVFBhsPZtCrVUMsWgpWRKT22r0Ulj4BLXrC6IXg7GZ2omqpWpSliRMnMmLECKKiokptT05OJjU1lbvvvtu6zd3dnd69e7Np0yabx5ozZw6hoaGEhoaSnn5rS3/3bFU8xGWDzi6JiJ3YczKL0xfy6dVGQ/BERGqtvd/A4sfhtjB4aBG4eJidqNqy+7I0d+5cDh48yN/+9rcy96WmpgLg7+9faru/v7/1vitNnDiRbdu2sW3bNnx9b+1ijbc3qod3HRfr/AAREbOt/+36bz1aqSyJiNRK+1fCl49Cky4w9ktw9TQ7UbVm10th7N+/n5dffpn4+HhcXK4+Ge3KoSaGYVTJ8BMHBwvdW/oQfzCjyp5TRORaNiRlEBJQF7+6Gm4hIlLrHFwDXzwCAe1h7GJw1dzVW2XXZ5Y2b95MRkYG7du3x8nJCScnJ+Li4nj//fdxcnLCx8cHoMxZpLS0tDJnmypL79a+pGfnsf9U5S4oISJyPTn5hWw7ckZLhouI1EaH42DRWPANhoeXgHt9sxPVCHZdloYMGcLOnTtJTEy0foSGhjJ69GgSExNp06YNAQEBrF692vqY3Nxc4uPj6d69e5Vk7N2meChf3P5bm/8kInKrtiRnkl9YRM/WtzbEWEREqpkjG+Gz0eAdBI98DR7eZieqMex6GF79+vWpX790K65Tpw7e3t60b98egGeeeYbXX3+dkJAQ2rRpw/Tp0/H09GTMmDFVkjHAy42QgLrEHUjniYiWVfKcIiK2bEjKwMXJgbta6E1SRKTWOLYFFowEr6YwbjnU8TE7UY1i12WpPF544QVycnKYNGkSZ86cISwsjO+//566datujGbvNr5EbzzChbwC6rhW+0+piFRT8UkZdG3RAHcXR7OjiIhIVUj5CRaMgLoBMP4b8NTIgopm18PwbImNjeVf//qX9bbFYmHatGmcPHmS3Nxc4uLirGedqkpEG1/yC4tIOJxZpc8rIlIiLSuX/aey6dlKb5QiIrXCiUT4dGjxkLvx3xQXJqlw1a4s2aPQFg1wd3Zk/QHNWxIRc8T99vOnt66vJCJS86Xugk+GgGu94qLk1cTsRDWWylIFcHVypFtLH+svKyIiVS3uQDq+dV25vVE9s6OIiEhlStsLHw8CJ/fiolS/mdmJajSVpQoS0caXI5kXOZp5wewoIlLLFBYZxCdlENHGV9d7ExGpyTKSIGYQODjDhBXgHWh2ohpPZamCRPy2hLiG4olIVduRcpZzOZesP4dERKQGyjwEMQ8ABoxfDj5ahbkqqCxVkBYN69DM20ND8USkysXuT8fBgi5GKyJSU505WnxGqSCveHlw32CzE9UaKksVKKKNL5sOZZJfUGR2FBGpReIOpNPptvrU93AxO4qIiFS0cykQcz/kn4dxX4P/7WYnqlVUlipQ7za+XMwvZNvR02ZHEZFa4vSFfH5JOUtEGz+zo8hlpk2bhsViKfUREHDtZX137txJREQE7u7uNGnShNdeew3DMKoosYjYpawTEH0/5JyDccugUQezE9U6uoJqBerW0gdnRwtxB9Lp3lLDYUSk8sUnpWMYEBGs+Ur2Jjg4mNjYWOttR8erXyw4KyuL/v3707t3b7Zu3cr+/fuZMGECderU4bnnnquCtCJid7JPFQ+9u5AOjyyDxp3NTlQrqSxVIE9XJ0KbexO3P50p97Q1O46I1AJx+9Np4OHMHU28zI4iV3Bycrru2aQSCxYs4OLFi8TExODu7k779u3Zu3cvf//73/nTn/6kVQ5FapsLGcXLg2cdh4eXwG1dzU5Ua2kYXgXr3caXfanZnMrKNTuKiNRwRUUG65PS6d3GF0cH/TJtbw4fPkyTJk0IDAxk9OjRHD58+Kr7bt68mV69euHu7m7dNmDAAE6cOMGRI0dsPmbOnDmEhoYSGhpKeroWFxKpMS6eho8HFy/qMOYLaN7N7ES1mspSBdMS4iJSVfaczCLjfL6WDLdDYWFhREdH89133zF37lxSU1Pp3r07mZmZNvdPTU3F39+/1LaS26mpqTYfM3HiRLZt28a2bdvw9dX3gEiNkHOmuChlJMFDCyGwl9mJaj0Nw6tgbRvVxbeuK+uTMhgZepvZcUSkBiu5VEGv1vpF2d7cc889pW6Hh4cTFBRETEwMf/rTn2w+5sqhdiWLO2gInkgtkXsOPhkG6ftg9EJoGWV2IkFnliqcxWKhd2tf4pPSKSzSKkYiUnni9qfTvkk9fOu6mh1FrsPT05N27dqRlJRk8/6AgIAyZ5DS0tIAypxxEpEaKC8bFoyE1F9gZAy07m92IvmNylIliAj25ezFS/ySctbsKCJSQ53LucRPx85oCF41kZuby759+2jUqJHN+7t160Z8fDy5uf8333X16tU0btyYFi1aVFFKETFF/gVYOApStsGIeRByr9mJ5DIqS5WgV6uGWCyw/kCG2VFEpIbadDCDwiKDyGBdX8kePf/888TFxZGcnMyWLVsYMWIEFy5cYPz48QBMmTKFvn37WvcfM2YMHh4eTJgwgV27drFkyRJmzJihlfBEarpLOfDZQ3BsMwybA7cPNjuRXEFlqRI0qONCh6b1iT2QZnYUEamh4g6kU9fNic631Tc7itiQkpLCQw89RHBwMMOGDcPV1ZWEhASaN28OwMmTJzl06JB1fy8vL1avXs2JEycIDQ1l0qRJPPfcc1ed3yQiNcClXFg0FpLXw5AP4I4RZicSG7TAQyWJaOPLv35I4syFfBrUcTE7jojUIIZhEHcgnZ6tGuLkqL952aNFixZd8/7o6Ogy2+644w7Wr19fSYlExK4U5MOX4+HQWhj0L+g42uxEchV6l60kUSF+FBmwPklLiItIxTpw6jwnz+VqvpKISHVUeAkWPwoHVsJ9f4cuj5idSK5BZamSdGjihU8dF37Yp6F4IlKx4n4b4hsRrLIkIlKtFBbAkt/DvhUw8C3o+rjZieQ6VJYqiYODhYhgX+IOaAlxEalYsfvTaePvSSMvd7OjiIhIeRUVwrKnYPdSuHs6hD9pdiIpB5WlShQV4sfZi5dI/PWM2VFEpIbIzr3Ej8mn6ROiVfBERKqNoiJYPhl2fgF9/we6TzY7kZSTylIl6tXaF0cHi4biiUiF2ZCUQUGRQZSWDBcRqR6KimDFM5C4ACKnQK/nzE4kN0BlqRJ5uTtzZ/MG/LBPizyISMX4YV8a9dycuLN5A7OjiIjI9RgGfPcCbI8pLkkRL5qdSG6QylIliwrxY+/JLFLP5V5/ZxGRaygqMli3P52IYD8tGS4iYu8MA1b9BbbOLR52F/VX0EWmqx2921ayPr8NlVm3X0PxROTW7Dx+jozzeUSFaBU8ERG7ZhiwZhokzIawJ6H/31SUqimVpUrWxt+TJvXdNW9JRG7ZD/vSsFggoo3mK4mI2LXYN2HjuxD6OAycoaJUjaksVTKLxUKfEF82Hswgr6DQ7DgiUo2t259G59vq413HxewoIiJyNXH/C3FvQedH4N63VZSqOZWlKhAV4sfF/EJ+TD5tdhQRqabSsnP5JeUcUVoyXETEfm14F9ZNhw6j4YFZ4KBftas7fQWrQLeghrg6OWgonojctNjfVtWMCvE3OYmIiNi0+X1YMxXaD4ch74ODo9mJpAKoLFUBdxdHurX0IXa/lhAXkZvzw740Gnm50bZRXbOjiIjIlX6cC6umQNtBMPTfKko1iMpSFYkK8SM54wLJGRfMjiIi1Ux+QREbDmYQGeyHRWPfRUTsy0/R8N/nIfheGP4RODqbnUgqkMpSFSlZQlxD8UTkRm09cprzeQWaryQiYm9+XgDfPAOt+sPIaHDSAjw1jcpSFbnN24NWfp6sU1kSkRu0dm8aLk4O9GjlY3YUEREp8cuX8PUkCIqEUZ+Ck6vZiaQSqCxVoagQP7YkZ3Ihr8DsKCJSjazbn0a3IB88XJzMjiIiIgC7l8LSJ6BFTxi9EJzdzE4klURlqQpFBvtyqdBgw8EMs6OISDVRMtdRQ/BEROzE3hXw1e/gtrvgoUXg4mF2IqlEKktVqGsLb+q6OvHDXg3FE5HyKZnnqLIkImIHDqyCLydA484w9ktw9TQ7kVQylaUq5OzoQESwL2v3pVFUZJgdR0SqgR/2naKVnye3eesvlyIipjq4Bj5/GPzbwdjF4KpLOdQGKktVrP/t/mScz2NHylmzo4iInTufV8CPyafpq7NKIiLmOhwHi8ZCw2B4ZCm41zc7kVQRlaUqFtnGD0cHC2v2njI7iojYuQ1J6VwqNOijsiQiYp4jG+Gz0eAdBOO+Bg9vsxNJFdLSSlXMy8OZri0asGZPGn8eEGJ2HBGxY6v3pOHl7kxo8wZmR6l069evr5Tjuri4EB4eXinHFpFa4NgWWDASvJoWF6U6uoRDbaOyZIJ+bf2Z/u1efj19UfMQRMSmgsIifth3iqgQP5wca/4ggMjISCwWS4UfNyAggOPHj1f4cUWkFkj5CRaMgLoBMP4b8NRZ/tpIZckE/W8vLktr9p7i0R6BZscRETu0/dhZzly8RL+2/mZHqTIODg40bdq0wo539OhRDEOL6YjITTiRCJ8OLR5yN/6b4sIktZLKkgma+9ShtZ+nypKIXNXqPak4O1ro3aah2VGqjK+vL8nJyRV2PAeHmn9GTkQqQeou+GQIuNYrLkpeTcxOJCbSO4lJ+rb1Z8vh05zLuWR2FBGxM4ZhsHrPKbq1bEhdN2ez44iI1B5p++DjweDkXlyU6jczO5GYTGXJJP1v96OgyCDuQLrZUUTEzhxKv8CRzIv0b1t7xscPGjSIe+65p8KPOXDgwAo9pojUYBlJEPMAODjBhBXgrdE/omF4pul0WwN86riwZs8pBnVsbHYcEbEjq/cUX1qg3+21Z77SsmXLcHBwICEhgd27d1fYMUVEyiXzUHFRwoDxy8GnpdmJxE7ozJJJHB0sRIX4sW5/GpcKi8yOIyJ2ZM3eU7RvUo9GXu5mR6lyZ86cMTuCiNQ2Z45CzCAoyINxy8E32OxEYkdUlkzU73Z/snML2HrktNlRRMROpGfnsf3YmVq1Cp6IiGnOpUDM/ZB/vvg6Sv63m51I7IzKkol6tW6Ii5MDa/akmR1FROzEun1pGEbxJQak+nrzzTfp2rUr9erVw9fXlwceeIBdu3Zd8zFHjhzBYrGU+Vi5cmUVpRapZbJOQPT9kHMWHlkKjTqYnUjskMqSiTxcnOjR0ofVe1N1LRARAWD13lM0qe/O7Y3qmR1FbkFsbCz/7//9PzZt2sQPP/yAk5MT/fr14/Tp648kWLlyJSdPnrR+REVFVUFikVom+1Tx0LsL6fDwEmjSxexEYqe0wIPJ+t3uz7ql6SSlnaeNf12z44iIiXLyC4lPSmdU6G1YLBaz48gtWLVqVanbn3zyCV5eXmzcuJEHHnjgmo/18fEhIEAXwBSpNBcy4ONBkHW8uCjd1tXsRGLHdGbJZH1DiofalKx+JSK118aDGeReKqpVq+BdKSsrixkzZvDdd99x4sQJs+NUmOzsbIqKimjQoMF19x02bBh+fn706NGDxYsXX3W/OXPmEBoaSmhoKOnpugyFSLlcPF18HaUzR2HMF9C8m9mJxM7pzJLJArzc6NDUi7V7TzGpTyuz44iIiVbvOUVdVyfCAn3MjmKanJwc/vKXv1hv+/j40KlTJzp16kTHjh3p1KkTbdu2xcGhev2t749//COdOnWiW7er/2Lm6enJ22+/TY8ePXBycmL58uWMGjWKmJgYHn744TL7T5w4kYkTJwIQGhpaadlFaoycs/DJkOLrKY1ZBIG9zE4k1YDKkh3oG+LPu2sPkJadi19dN7PjiIgJiooM1u47RUSwLy5O1asIVCRnZ2caNmxoPauUkZHBmjVrWLt2rXUfV1dXbr/9dmuJ6tSpEx06dKBePfuc5/WnP/2JDRs2sGHDBhwdHa+6X8OGDXnuueest0NDQ8nIyGDmzJk2y5KI3IDcLPh0GKTthdELoaXmAkr5XLMsrV+/vlKe1MXFhfDw8Eo5dnV0dzt//rHmAGv2pDEmrJnZcUTEBIkpZ8k4n1/rV8Hz9vYmJSWFzMxMEhMTrR87duxg3759FBQUkJuby/bt2/n5559LPbZFixZ07tz5mkPXqtqzzz7LokWLWLduHUFBQTf8+LCwMObPn18JyURqkbzzsGAEnNwBD34CrfubnUiqkWuWpcjIyEqZZBwQEMDx48cr/LjVVUhAXZp5e7Bqd6rKkkgttXrPKRwdLES28TM7il3w8fGhb9++9O3b17otPz+fXbt2sWPHDmuJ+uWXXzh37hwAycnJHDlyxKTEZf3xj39k0aJFxMbGEhISclPHSExMpFGjRhWcTKQWyb8ACx+ElG0wcj6E3Gt2IqlmrjsMz8HBgaZNm1bYEx49erTcy2TPnj2bf//739Y3v3bt2vHKK69w3333AWAYBq+++ipz5szhzJkzhIWFMXv2bNq1a1dheauCxWJhQDt/ojcdISv3EvXcnM2OJCJVbM2eU4QFeuPlof//V+Pi4kKXLl3o0qX0Er9HjhwpdQbKHkyaNIlPPvmEZcuW0aBBA1JTU4HieUmenp4ATJkyhR9//NE6xDAmJgZnZ2c6d+6Mg4MD33zzDbNnz+att94y7XWIVGuXcuCzh+DYZhg2F24fbHYiqYauW5Z8fX1JTk6usCe8kUm5TZs25a233qJ169YUFRURExPDkCFD+Omnn+jQoQMzZ87knXfeITo6muDgYF577TX69+/P/v37qVu3ei3DPaBdAHPjk1m3L43BnZqYHUdEqtCh9PMkpZ3XmeWb1KJFC1q0aMGQIUPMjmL1/vvvA5Q6MwYwdepUpk2bBsDJkyc5dOhQqfunT5/O0aNHcXR0pE2bNsybN0/zlURuxqVcWDQWktfDkA/gjhFmJ5Jqyq4XeBg8uPRfAF5//XU++OADNm/ezB133MG7777LSy+9xPDhw4Hiv8r5+fmxcOFCnnjiCTMi37QuzRrgW9eVVbtTVZZEaplVu4vPOgxop2vr1BTlGUERHR1d6vb48eMZP358JSUSqUUK8uHL8XBoLQx6Dzo9ZHYiqcaueZpn0KBBDBw4sEKf8GaPWVhYyKJFizh//jzdu3cnOTmZ1NRU7r77bus+7u7u9O7dm02bNlVk5Crh4GCh/+3+xO5PJ/dSodlxRKQKrdqVSsemXjSu7252FFMNHjy4Qod9i0gtVHgJFj8KB1bCfX+HLuPMTiTV3DXPLC1btoyUlJQKfcJly5bd0P47d+6kW7du5Obm4unpydKlS7njjjushcjfv/TKUf7+/tdcPGLOnDnMmTMHwO4u4jegXQALtxxjQ1JGrb4opUhtcuJsDjtSzvHCwGCzo5hu6dKlpW7v2LGDjh07mpRGRKqdwgJY8nvYtwIGvgVdHzc7kdQA151A1KxZM1MXTAgODiYxMZGEhASeeuopxo8fz65du6z3X7lan2EY11zBb+LEiWzbto1t27bh6+tbablvRrcgH+q6ObHytyE5IlLzff/b//eBGoJXxpAhQzh9+rTZMUSkOigqhGVPwe6lcPd0CH/S7ERSQ5RrtYUzZ85Udo6rcnFxoVWrVoSGhvLmm2/SqVMn/vGPfxAQUPyLRckKQyXS0tLKnG2qLlycHOgb4sfavacoKCwyO46IVIGVu1Np7edJkK+n2VHsztGjRxkxYgSFheUfmvzrr79WYiIRsUtFRbD8D7DzC+j7P9B9stmJpAapdpeJLyoqIi8vj8DAQAICAli9erX1vtzcXOLj4+nevbuJCW/NgHYBnLl4iR+P6K+pIjVd5vk8fkw+zcD2Oqtky+DBg4mLi+MPf/hDufbfuHEjXbt2reRUImJXDAO+fRYSP4XIKdDrObMTSQ1j12XppZdeIj4+niNHjrBz506mTJlCbGwsY8eOxWKx8MwzzzBjxgyWLFnCrl27mDBhAp6enowZM8bs6DctItgXVycHvt99yuwoIlLJ1u5No8jQKnhX88knn9CmTRs+/PBD/vOf/1xz3/nz59OvXz+7m4sqIpXIMOC7F+Cn6OKSFPGi2YmkBrLrpcNTU1N5+OGHSU1NxcvLiw4dOvDdd98xYMAAAF544QVycnKYNGmS9aK033//fbW7xtLlPFyc6NXal1W7U5n6wO3XnH8lItXbyt2pNG3gTrvG9cyOYpc8PT1ZtmwZd911F08//TTt2rWjW7dupfYxDIPnnnuOWbNmYRgGf/zjH01KKyJVyjBg1V/gxznQ7WmI+ivodyapBHZdlq68BsWVLBYL06ZNs17gr6YY0M6fNXtP8UvKOTreVt/sOCJSCbJzL7EhKYNHujXXH0WuITg4mI8//phhw4YxfPhwtm3bRuPGjQHIysriwQcfZPXq1Tg7O/PBBx/w6KOPmpxYRCqdYcCaaZAwG+56onhBB/0clUpSrmF4WVlZzJgxg+++WTaQQQAAIABJREFU+44TJ05UdqZar19bfxwdLNYLVYpIzbNufzr5hUWar1QOgwcP5pVXXiE1NZUhQ4aQl5fHgQMHrKMJ/Pz8WLdunYqSSG0R+yZsfBdCH4N73lJRkkpVrjNLOTk5/OUvf7He9vHxoVOnTnTq1ImOHTvSqVMn2rZti4ODXU+BqjYa1HEhLNCbVbtTeWFgiNlxRKQSrNqdSkNPV7r8f/buPC6qev/j+GvYURRFFBBFMTcUBRU13LIsSnPLXXPJW5Ett7zaorZa3qvlr71rZTdTczd3c801twwVcBcXBBHEBQSVRWB+f3DjRu46cJjh/Xw85sGDM+fMvMdlZj7n+z2fr19Fo6OUCJ9++mnB50rFitf+mYwdO5Zdu3axcuVKOnfuzK5du0hNTaVZs2YsXrwYX19fA1KLSLHbNBE2fQhNBkKnj1UoSZG7rWLJ0dERT0/PglGlc+fO8csvv7Bu3bqCfZydnWnQoEHBh11wcDCNGzemfHnNxb8bjzb05t2l+zmanE7tKtZ7DZaIXCvzai4bDiXTvYkv9nb6oAcYOXJkwXTE6tWr06RJE4KDgwt++vn5MWvWLJo3b8769esxm83079+f77//HhcXF4PTi0ix2PIZbBgHjftBly9AJ+mlGNxWseTh4cGpU6c4f/48kZGRBbeoqCgOHTpETk4OmZmZ7N69mz179hQ6tmbNmjRp0oSffvqpSF6ArQpr6MW7S/ezev8ZFUsiNmZLzDmuZOdqIdo/6dSpE1FRUSQkJBAXF0dcXBxLly4tuL9ChQoEBwdTq1YtYmJiGDhwIFOmTMHBoURfeisilrJ9EvzyLgT2hO6TwM7e6ERSStzRp0ylSpXo0KEDHTp0KNiWnZ3Nvn37iIqKKiiioqOjuXjxIgAnTpwgNjbWoqFLAx93V4KqV2DlvkRefLC20XFExIJW7U+inIsD99eqZHSUEmP58uUAXLhwgT179hT6TDl06BApKSls2LChYPRp5syZzJs3j/r16xMUFFRwa9y4MZUrVzbypYiIpe38DlaPhoCu8MS3KpSkWN3zKTknJyeaNm1K06ZNC22PjY0tNAIld65ToDfjVx4i7vwV/CqVMTqOiFhATm4evxw8w8MBXjg5aArJX3l4eNzRSbno6Giio6OZMWMGkN8lNScnx6j4ImJpu6bBilehXifo+T3YOxqdSEqZIpu/ULNmTWrWrEn37t2L6ilsXqdGPoxfeYgV+xIZ9sB9RscREQvYcfwCqVeu8mhDL6OjWI0bnZQ7ceJEoQJqz549xMfHG5RSRCwuchYsewVqPwK9p4KDk9GJpBTSZO8SrLpHGRpXc2fFXhVLIrbi572JlHGyp329KkZHsXr+/v74+/sXOin3xxRwEbFy0fNh8QtQqz30nQEOzkYnklLqlnNAunXrRrVq1Yoji1xHp0Y+RJ+6SPyFK0ZHEZF7lJObx+r9SXQI8MLFUXPui4K7u7vREUTkXu1fBIueg5ptoN8scFTHSzHOLYulRYsWsXPnzuLIItfxeCMfAFbsTTQ4iYjcqx3HL3DhcjaPN1IXPBGR6zq4HBY8A9WaQ/854KRrtsVYurq4hKvuUYZGvu4qlkRsgKbgiYjcxJHVMP8p8AmGJ+eDs5vRiUQsVyxt3ryZTz/9lFWrVlnqIeW/OjXyIUpT8USsmqbg3ZydnR2+vr4l/jFFpIgc/QXmDgSvhjBwAbiUNzqRCGChYmnKlCk8+OCDjBw5kscff5zevXsDsGrVKsLCwggICODBBx9k0qRJ5ObmWuIpS5U/puKt2pdkcBIRuVv/m4LnY3SUEstsNlvFY4qIhR3fBHOeBM96MGgRuFYwOpFIAYt0w/v888/x8/Pj888/JzExkdGjRzN27FjGjRuHg4MDXl5ebNu2jc2bN/Pzzz+zfPnygoUF5db8KpUh0Lc8P+9N5Nl2tYyOIyJ34ee9iZR1sqd9PS2YeiO5ubnEx8erwBEpTWK3wux+4FELBi+BMh5GJxIpxCLF0vHjx3n33Xfp2rVr/oM6OPDcc8/Rrl07lixZQrly5bh69Soff/wxY8aM4dtvv2XYsGGWeOpSo1MjHz5adZiE1Ax8K7gaHUdE7oCm4N2ec+fOUbNmTYs9nk7KiZRw8TthVh9wr5ZfKJWtZHQikWtYZBre5cuX8fH539SSBx98kLy8PIYNG0a5cuUAcHR0ZNSoUfTo0YPp06db4mlLlT+m7qxUowcRq/PHFLxOmoJ3U2az2eI3ESmhEnbBjJ7g5gVDloGbGt9IyWSxBg9/PoP3xzoXnp6e1+zXvn179u/fb6mnLTVqVCpLw6r5U/FExLpoCt6t5eXlFcnt9OnTRr80EfmrxCj48Yn8KXdDlkE5LacgJZfFiqUzZ86Ql5d3y/0qVqzIpUuXLPW0pUqnRj7siUvldGqG0VFE5DZpCp6IyJ8k7YPp3cC5fH6h5K6OlVKyWaxYevXVVylXrhyhoaG8/vrrmEwmTp48SWZmpqWeotTrpAVqRayOpuCJiPxX8qH8QsnBNb9QquBndCKRW7JIg4cNGzYQFRVVcJs1axZms5lnnnmGZ599Fj8/PwICAggICOD8+fOWeMpSyd+zLAE+5VmxN5Fn2qornog1+HnvaU3BExE5FwPTuoCdfX6h5OFvdCKR22KRYumBBx7ggQceKPg9NzeXw4cPFyqg9uzZw8qVKwF1KLoXnRv7MHG1uuKJWIP8KXhnNAVPREq388fyCyVzHjy1AjxrG51I5LbdcbEUFRVFUFDQTfext7enQYMGNGjQgP79+xdsP3v2bEHxJHfnj2JpedRpnnvgPqPjiMhNaAqeiJR6KSdhWlfIyYKnlkPlekYnErkjd3zNUvfu3blw4cJdPVnlypV5+OGHGTly5F0dL/ld8YKqV2BplDo8iZR0y6I0BU9ESrGLp2BaZ8i+lL+OkldDoxOJ3LE7LpZOnjxJr169yM3Nve1j4uPj7/Rp5Ca6BlVl/+k0jp1VV0GRkiorJ5eV+xJ5tKG3puDdpezsbKMj3LNJkybh7++Pi4sLzZo149dff73p/nv37uWBBx7A1dUVX19f3n//fa0XJdYpLRGmdoaMVBi0CHwaG51I5K7ccbHUrVs3Nm3axMsvv3xb+2/dupXmzZvfcTC5sc6NfTCZ8s9ai0jJtOnwWdIyc+gaXNXoKFarbNmyBAYGWu0Jt7lz5/LKK68wZswY9uzZQ6tWrejYsSNxcXHX3T8tLY1HHnkELy8vfv/9d7744gsmTpzIJ598UszJRe7RpeT8a5Qun4WBC8G3qdGJRO7aHRdLP/74I3Xr1uWbb77hP//5z033/eGHH3j44Yc5e/bsXQeUa3mVd6GlvwdLo07rjKNICbU06jQeZZ1oXfvaxbnl9jg6OnLy5EmqV69udJS78sknn/DUU0/x7LPPEhAQwJdffomPjw9ff/31dfefOXMmV65cYdq0aQQGBtKzZ0/eeOMNPvnkE73Xi/W4fC7/GqW0BHjyJ6iuE+Zi3e64WHJzc2Px4sW4ubnx0ksvsX379mv2MZvNjBgxgmeeeYasrKzbHoWS29c1yJfjZy+z/3Sa0VFE5C8uZ+Xwy8EzdGrkjaO9xZazK3Vq1apltUVCdnY2u3btIiwsrND2sLAwtm3bdt1jtm/fTtu2bXF1/V+n00cffZTTp08TGxt7zf6TJ08mJCSEkJAQnZSUkuHKhfx1lFJiYcA8qBFqdCKRe3ZXn+L16tVj+vTpXL16lZ49e3L69P+mg6WlpdGxY0c+//xzHB0d+f777/n0008tFljydQz0xsHOpKl4IiXQ2gNnyLyaR9cgrUx/L/r06UNGRgabN282OsodO3fuHLm5uXh5eRXa7uXlRVJS0nWPSUpKuu7+f9z3V+Hh4URERBAREUHlymoiIgbLSIUfu+evp9R/Fvi3NTqRiEXc9SnPbt268dZbb5GUlET37t3JysriyJEjtGzZkjVr1lClShU2bNjA0KFDLZlX/qtiWSfa1vFkWdRp8vKs88yriK1aGnWaqu4uhNSoaHQUqzZy5Ej8/Pz4+9//zqVL1tnQ5q/rCprN5puuNXi9/a+3XaREyUyDGT3gzAHoOwPue8joRCIWc9Ni6dNPP2XDhg2kpKRc9/6xY8fSqVMndu3aRefOnbn//vs5fPgwzZo1IyIigtBQDb8Wpa7BVTl9MZPdcdf/+xGR4pdyOZvNR87SJagqdnb6gnsvvvrqK15++WWOHz9OSEjIDaevlUSenp7Y29tfMyKUnJx8zejRH7y9va+7P3DDY0QMl3UJZvaCxCjoMw3qht36GBErctNFaUeOHFlwNqt69eo0adKE4ODggp9+fn7MmjWL5s2bs379esxmM/379+f777/HxcWlWF5AafZIA2+cHfayNOo0ITU9jI4jIsCKfYnk5JnpEqQuePdq9OjRBZ9BMTExtGvXjpYtW9KtWzfatWtH48aNKVOmjMEpr8/JyYlmzZqxdu1aevfuXbB97dq19OzZ87rHhIaG8sYbb5CZmVnwGbp27VqqVq1KzZo1iyO2yJ3Jvgyz+sCpCOj9A9R/3OhEIhZ302KpU6dOREVFkZCQQFxcHHFxcSxdurTg/goVKhAcHEytWrWIiYlh4MCBTJkyBQeHmz6sWIibswMPB3ixYm8i73RugIMuJBcx3NLI09xXuSwNq5Y3OorV69q1K3v37iU2Nhaz2YzZbGb79u3s2LEDADs7O2rXrl3oJF5wcDBVqlQxOHm+ESNGMGjQIFq0aEHr1q355ptvOH36NMOGDQPyi8GdO3eybt06AAYMGMDYsWN56qmneOuttzhy5AgTJkzg3Xff1TQ8KXmuZsDs/hC3HXp8Bw26GZ1IpEjctKpZvnw5ABcuXGDPnj1ERUURGRlJZGQkhw4dIiUlhQ0bNhS8ic+cOZN58+ZRv359goKCCm6NGzfWxadFpEuQDz/vTWTbsfO0q6s/YxEjJV7MYGfsBYZ3qKsvtxawePFiANLT04mOjiYqKqrgtm/fPq5cucLhw4c5fPgw8+bNA/Kv7cnJyTEydoG+ffty/vx5xo0bR2JiIoGBgaxYsYIaNWoAkJiYyLFjxwr2d3d3Z+3atbz44ouEhIRQsWJFRo4cyYgRI4x6CSLXdzUT5jwJJzZD96+hUS+jE4kUGZP5LvuyZmdns2/fvkIFVHR0NBcvXvzfg//3y0JJ+vD6s5CQECIiIoyOcU8yr+bSfNwvPBrozf/1DjI6jkip9t3m4/xzxUE2vNoef8+yRse5ZyX5PdJsNnP06NFCBVRkZCSnTp0iLy/P6HjFriT/XYmNycmGeYPgyCro+iU0HWx0IpFbupf3yLueL+fk5ETTpk1p2rTwqswnTpwoVEDt2bPHaldftwYujvaENfRm9b4k/vlEIM4O9kZHEim1lkadppGvu00USiWdyWSiTp061KlTh169/ndWOzU11cBUIjYu9yr8NDS/UHr8ExVKUipY/OIif39//P396d69e8G2P482ieV1Da7Kgt2n2HAomccCfYyOI1IqHT97ib0JF3nr8QCjo5RqFSpUMDqCiG3KzYGF4XBoOTz2ITR/2uhEIsWiWDoxuLu7F8fTlFqt76uEp5szi/YkqFgSMcjSqNOYTNC5sbrgWVpKSgqnTp0iNTUVV1dXqlWrhre3t9GxREqPvFxY8gLsXwhh4+D+YUYnEik2altnAxzs7egWXJXp22NJvZJNhTJORkcSKVXMZjNLI0/ToqYH3u5aNsFSlixZwvjx44mIiOCvl9dWqFCBNm3a8Pjjj9OvXz/Kl1f3QZEikZcHS1+G6LnQ4R1o9XejE4kUq5v2mrazs8PX19eyT1gEjynwRBNfruaaWR6daHQUkVInMj6V4+cu06Op3tss5bXXXqNHjx7s3LmTvLw83NzcqFq1KmXLlsVsNpOSksKyZct4/vnn8fX1ZezYsWRnZxsdW8S2mM3w8z8gcgY8MArajjQ6kUixu+XCPHfZLK/YH7O0a1i1PHW93Fi0J8HoKCKlzqI9CTg72NGxkabBWsLq1av5+OOPMZvNDB8+nGPHjnHx4kXi4+PZuHEj/v7++Pj4MGbMGFq2bMnly5d5//336dChg66RFbEUsxlWvg67pkKbEdB+lNGJRAxxy2l4ubm5xMfHq8Ap4UwmE080qcaHqw5x8vxlalRSNy6R4pCdk8fSqNM80sCL8i6ORsexCVOnTsVkMjFmzBg++OCDgu2XLl2ic+fO1K5dm2XLlhVcDxsdHc2wYcPYunUrgwcPZsmSJUZFF7ENZjOsfhN2TobQl/Kn32ntOCmlblksnTt3jpo1a1rsCbVQY9Hp3qQqH60+xKI9CQx/uK7RcURKhY2Hk0m9cpWeTasZHcVmHD16FIDnn3++0PYZM2Zw5swZfvnll0KNgxo3bszmzZvp1asXy5Yt47fffqNly5bFmlnEZpjN8Mt7sOPf0OK5/IYO+u4mpdhtTcOz9E2Kho+7K6G1KrFoT4L+nEWKycLdCXi6OdG2jqfRUWyGnV3+R5OHh0eh7TExMQD4+fldc4yDgwOTJk3CbDazZcuWog8pYqs2joetn0HI36DjhyqUpNS7abGUl5dXJLfTp08X1+srdZ5o4svJ81fYHaeFGUWK2sUrV1l/KJkuQVVxsL/luSe5TbVq1cJsNrNnz55C2319fTGbzYwfP/66x2VlZQFarkLkrm2eCJs+hCYDodPHKpREuI2RJbEuHRv54OJox6I9p4yOImLzlu89TXZunqbgWdioUaP44YcfrllgdsCAAbi7uzNhwgRatWrFV199xc6dOzl69Chr1qyhT58+ODg40LZtW4OSi1ixrZ/D+nHQuB90+QLs9BVRBLTOks1xc3YgrIE3y6MTeadzQ5wc9GYnUlQW7k6gThU3GlbVGj+WFBQURFBQ0DXbvb29WbFiBb1792bHjh389ttvhe43m82MGTOGevXqFVdUEduw42tY+w4E9oTuk8DO3uhEIiWGiiUb9EQTX5ZGnWbD4WQebahV7kWKwsnzl9l1MoU3HquvxjXFKDQ0lJiYGH788UdWrlxJTEwMOTk51K5dmyFDhtC7d2+jI4pYl53fwapRENAVnvhWhZLIX6hYskFt63ji6ebEot0JKpZEisjC3QmYTPldKMUyzGbzbRWerq6uhIeHEx4eXgypRGzYrmmw4lWo2xF6fg/2Wv5A5K80R8sGOdjb0SWoKusPJXPxylWj44jYHLPZzOLIBEJrVcLH3dXoODajSpUqDB48mLlz52pxWZGiFjkLlr0CtR+GPtPAwcnoRCIlkoolG9WjSTWyc/NYvledB0UsbXdcCifPX6GHGjtYVEpKCjNmzGDAgAFUqVKFhx56iI8//pjDhw8bHU3EtkTPh8UvQK0HoO8McHA2OpFIiaViyUYF+panrpcbP+1SVzwRS1uwOwEXRzseC9Q0V0s6e/YsM2bMoE+fPri5ubFx40Zef/11GjRoQJ06dRgxYgTr1q0jJyfH6Kgi1mv/Ilj0HNRsA/1mg6NGx0Vu5pbF0ptvvsmlS5eKI4tYkMlkok9IdfbEpXI0Od3oOCI2IyM7l2WRp+kY6IObsy77tKSKFSsyYMAAZs+eTXJyMhs3bmTEiBHUq1ePY8eO8dlnnxEWFoanpyd9+/Zl+vTpnDt3zujYItbj4HJY8AxUaw7954BTGaMTiZR4tyyWxo8fT926dfnuu+8wm83FkUkspHsTXxzsTMyP0OiSiKWs3p9EelYOvUM0Ba8o2dvb065dOyZOnMiBAwcKiqWHHnqIzMxM5s+fz9ChQ/Hx8aFVq1b861//Ijo62ujYIiXXkdUw/ynwCYYn54Ozm9GJRKzCLYulsmXLkpSUxLBhwwgODmbt2rXFkUsswNPNmYfqV2HB7gSu5uYZHUfEJsyLiKe6hyv3+1cyOkqp4u/vz8svv8zatWs5d+4c8+fPZ9CgQVSqVIkdO3bw9ttv06RJE2rUqMGLL77IihUryMrKMjq2SMlwdB3MHQheDWHgAnDR2nAit+uWxdKxY8d47rnnsLe3Z+/evTz22GN06tSJgwcPFkc+uUe9Q6pz7lIWmw6fNTqKiNWLv3CFbcfO07tZdezstLaSpd3utG83Nzd69uzJ1KlTSUxMZPv27YwePZpGjRoRHx/P119/TZcuXfjwww+LIbVICXd8E8wZAJ71YNAicK1gdCIRq3LLYqlKlSp8/fXX7Nu3j65du2I2m1m9ejVBQUG88MILnD2rL+ElWft6lfF0c2ZeRLzRUUSs3k+7TmEyQc9mmoJXFO5m2rfJZKJly5aMGzeOyMhI4uPjmTRpEp06daJMGV2PIaXcyW0wux941ILBS6CMh9GJRKzObXfDq1u3LosXL2bz5s00b96cnJwcvv32W+rUqcNHH31Edna2xcONHz+e5s2bU758eSpXrkyXLl3Yt29foX3MZjPvvfceVatWxdXVlfbt27N//36LZ7FWjvZ29Gzqy/pDyZy7pCkpIncrL8/MT7tO0aa2J74V1D2qKFhi2revry/Dhg1j2bJlvPrqq0WQUsRKxO+Emb3BvVp+oVRWU4dF7sYdtw5v06YNO3bsYM6cOfj7+5OWlsbo0aOpX78+c+fOtWi4jRs38sILL7Bt2zbWr1+Pg4MDDz/8MBcuXCjY56OPPuLjjz/myy+/5Pfff6dKlSo88sgjpKerA9wfeodUIyfPzOI9CUZHEbFa246dJyE1g94h1Y2OYrM07VvEQhJ2wYye4FYFBi/N/ykid+Wu11nq06cPhw4d4tNPP6VSpUrExsYyYMAAWrVqxY4dOywSbvXq1QwdOpTAwEAaNWrEjz/+yNmzZ9m6dSuQP6r02WefMWrUKHr27ElgYCDTpk0jPT2dWbNmWSSDLahdpRxN/CowLyJeHQ1F7tK8iHjKuzgQ1sDL6Cg2S9O+RSwgMQp+fAJcK8KQZVDex+hEIlbtnhaldXBw4JVXXuHo0aO8/vrrODs7s2PHDlq3bk2/fv2IjY21UMx86enp5OXlUbFiRQBOnDhBUlISYWFhBfu4urrSrl07tm3bZtHntna9m1XnyJlLRJ+6aHQUEatz8cpVVu1PonsTX1wc7Y2OY/OMmPYtYhOS9sH0buBcPr9Qctf1lSL36p6KpT+UL1+eCRMmcOTIEQYNGoTJZGLevHkEBAQwatQoi02Je+WVVwgODiY0NBSApKQkALy8Cp/p9fLyKrjvryZPnkxISAghISGl6ixl5yAfXBzt1OhB5C4sjT5Ndk4efTQFr1gV57RvEauXfCi/UHJwhSFLoWINoxOJ2ASLFEt/qFatGtOmTWP37t088sgjZGVlMXHiROrUqXPPjz1ixAi2bNnCggULsLcvfGbXZCrcwtdsNl+z7Q/h4eFEREQQERFB5cqV7zmXtSjv4kjHQB+WRp0m82qu0XFErMr8iHgCfMrTsKrWJjFCcUz7FrFq52JgWhews88fUfKoZXQiEZth0WLp/Pnz/Prrr+zYsYP69etTuXJlzGbzPY/g/OMf/2D27NmsX7+eWrX+9wbg7e0NcM0oUnJy8jWjTZLf6CE9M4dV+64/6iYi1zqYmEb0qYv0blbthidhpOgV97RvEatx4Xh+oWTOyy+UPGsbnUjEptxVsZSUlMSGDRv497//zYsvvsiDDz6Il5cXVapUoX379jz//PN89dVXFpnm9sorrzBr1izWr19P/fr1C93n7++Pt7d3ofaymZmZ/Prrr7Rq1eqen9vW3O9fCT+PMsz5Pc7oKCJWY15EPI72Jro38TU6ilB8075FrELKSZjWFXKy8qfeVa5ndCIRm+Nwqx3WrFnDgQMHCm4HDx4kNTW10D5/7rDm7OxMvXr1aNiwIYGBgQW3u/Hiiy/y448/snjxYipWrFgwguTm5oabmxsmk4nhw4fzz3/+k/r161O3bl3GjRuHm5sbAwYMuKvntGV2dib6tajOR6sOc/zsJWpVdjM6kkiJlnk1l4W7Ewhr6I1HWSej48if/DHte+TIkbz22musXbuWiRMnMnXq1BtesypiUy6eyh9RykrPH1Hyamh0IhGbdMti6bHHHiuYevLnosje3p7atWsTGBhYqDCqU6fONdcU3a1JkyYB0KFDh0Lb3333Xd577z0AXn/9dTIyMnjxxRdJSUmhZcuWrFmzhnLlylkkg63p3aw6n6w5wuydcbz5eAOj44iUaCv2JnIx4ypPtvAzOor8xfnz5wtO4NWvX5/IyEjOnj1reOOeCxcu8O6777J27VpOnjyJp6cnnTt3Zty4cVSqdONFQadOncrQoUOv2Z6RkYGLi0tRRhZrlJaYXyhlpOQvOOvT2OhEIjbrlsUSQI0aNQqNEjVs2JCAgACcnIr2TOvtrAlkMpl47733CoonubnK5ZwJa+jFT7tO8eqj9XB2UBtkkRuZvTOOmpXKcH+tG3/JlaKVlJTEwYMHC81wOHDgAOfOnSu0X0lZQ+706dMkJCTw0Ucf0aBBAxISEnjhhRfo378/a9asuemxZcqU4dixY4W2qVCSa1xKzi+ULiXDoMXg29ToRCI27ZbFUnp6OmXLli2OLFJM+rfwY8XeJFbvP0PXoKpGxxEpkY6cSef32BRGd6yPnZ0aOxQHI6d9W0pgYCALFy4s+L127dpMnDiRzp07k5aWRvnyN+6oaDKZChoXiVzX5XP51yilJcDAhVC9udGJRGzeLYslFUq2p/V9nvh5lGHWbydVLIncwOydcTjZ29GrmRZ1LC5GTvsuSmlpaTg7O1OmTJmb7peRkUGNGjXIzc0lODiYDz74gCZNmtxw/8mTJzN58mQAw6cfSjG4ciF/HaWUE/DkfKgRanQikVLhtqbhiW1RoweRm8u8msuCXad4NNCbSm7ORscpVYya9l1UUlNTefvtt3n22WdxcLjxR269evWYMmUKQUFBpKen8/nnn9O6dWuioqJuuFZheHg44eHhAISEhBRJfikhMlLhx+5RqAIVAAAgAElEQVT56yn1nw3+7YxOJFJqqFgqpXo1q8Yna44w5/d4xnQKMDqOSInyc3QiaZk59G9R3egopUpJnvb91ltv8c9//vOm+2zYsIH27dsX/H758mW6dOmCr68vH3300U2PDQ0NJTT0fyMFrVq1Ijg4mC+//JIvvvjinrKLlctMgxk94MwB6DcLane49TEiYjEqlkqpKuVceKRBfqOHkWF11ehB5E9m74yjlmdZQtXYoViV1EIJYPjw4QwcOPCm+/j5/a9r4qVLl+jUqRMAy5cvv+NGDfb29oSEhBATE3PnYcV2ZF2Cmb0gMQr6TIe6YUYnEil1VCyVYgNa+rFynxo9iPzZkTPpRJxM4c1OAQXXz4ixUlJSOHXqFKmpqbi6ulKtWrVib4Tg6emJp6fnbe2bnp5Ox44dMZvNrFq1Cje3O5/qbDabiY6OJigo6I6PFRuRfQVm9YVTEdD7B6j/uNGJREolFUulWOv7PKnu4crs3+JULIn816zf8hs79FRjB8MtWbKE8ePHExERcU1r8AoVKtCmTRsef/xx+vXrd9Muc8UpPT2dsLAw0tLSWLx4MZcvX+by5csAeHh4FFx71aFDB1q0aMH48eMBGDt2LPfffz916tQhLS2NL774gujoaL7++mvDXosY6GoGzOkPcdugx3fQoJvRiURKLTujA4hx7OxM9Gvux/bj5zl+9pLRcUQMl5Gdy8Ldp3gs0BuPstbZUMBWvPbaa/To0YOdO3eSl5eHm5sbVatWpWzZspjNZlJSUli2bBnPP/88vr6+jB07luzsbKNjs2vXLnbs2MGBAweoW7cuPj4+Bbdt27YV7Hfs2DESExMLfk9NTSU8PJyAgADCwsJISEhg8+bNtGjRwoiXIUbKyYK5A+H4Jug2CRr1MjqRSKmmYqmU6x1SDQc7EzN/izM6iojhft6b39hhQEu/W+8sRWb16tV8/PHHmM1mhg8fzrFjx7h48SLx8fFs3LgRf39/fHx8GDNmDC1btuTy5cu8//77dOjQgYsXLxqavX379pjN5uve/tz8ITY2lqlTpxb8/umnn3Ly5EmysrJITk5m9erVhRo+SCmRkw3zhsDRX6DrFxDc3+hEIqWeiqVSrko5Fzo28mF+RDxXsnOMjiNiqB93nOS+ymVp6e9hdJRSberUqZhMJt58800++eQT/P39gfymCZ07d8bX15cDBw4wbtw4tm3bRmRkJC1btmTr1q0MHjzY4PQidyn3Kvw0FI6shMc/gab6tyxSEqhYEgaH1iAtM4clkaeNjiJimMj4VKLiUxkcWlONHQx29OhRAJ5//vlC22fMmMGZM2f45ptvcHd3L9jeuHFjNm/eTNeuXVm+fDm//fZbseYVuWe5ObAwHA4th8c+hOZPG51IRP5LxZIQUqMiAT7lmb795DUXUYuUFtO3x1LWyZ4eTX2NjlLq2dnlfzR5eBQe4fujjfafW3T/wcHBgUmTJmE2m9myZUvRhxSxlLxcWPIC7F8Ij3wA9w8zOpGI/ImKJcFkMjEktAYHE9OIOJlidByRYnf+UhbLoxPp2awa5VwcjY5T6tWqVQuz2cyePXsKbff19cVsNhd0kPurrKwsgEKjTiIlWl4eLH0ZoufCQ29D65eNTiQif6FiSQDoFuxLeRcHpm2LNTqKSLGbGxFPdk4eg+6vYXQUAUaNGsUPP/xAhQoVCm0fMGAA7u7uTJgwgVatWvHVV1+xc+dOjh49ypo1a+jTpw8ODg60bdvWoOQid8Bshp//AZEz4IFR0O5VoxOJyHVonSUBwNXJnj4h1Zm6LZbktEyqlL+z1eZFrFVObh4zd8TR6r5K1PEqZ3QcAYKCgq67GKu3tzcrVqygd+/e7Nix45prk8xmM2PGjKFevXrFFVXk7pjNsPJ12DUV2oyA9qOMTiQiN6CRJSkw8P4a5JrNzNqpNuJSeqw7lExCagaDQ2saHUVuQ2hoKDExMXzzzTd07dqVgIAA6tSpQ8eOHZk7dy7jxo0zOqLIzZnNsOYt2DkZQl+CDu+AmsqIlFgaWZICNT3L8kDdysz6LY4XH6yNo71qabF907fHUtXdhYcDqhgdRW6Tq6sr4eHhhIeHGx1F5M6YzbBuLGz/Clo8B2HjVCiJlHD6NiyFDAmtSXJ6Fqv3JxkdRaTIHU1OZ+vR8zx5fw0cdHJARIraxgmw5VMI+Rt0/FCFkogV0LcDKeSBupXx8yjD9G0njY4iUuR+3H4SJ3s7+jWvbnQUEbF1myfCpgnQZCB0+liFkoiVULEkhdjZmRh0fw12xl7gwOk0o+OIFJn0zKv8tOsUnRv7UMnN2eg4ImLLtn4O68dB437Q5Quw09cvEWuh/61yjT4h1XF1tOeHrSeMjiJSZOZFnOJydi5DWtU0OoqI2LIdX8Pad6BhD+j2b7CzNzqRiNwBFUtyDfcyjvRqVo0lkac5m55ldBwRi8vNMzN12wlCalQkqHqFWx8gInI3dn4Hq0ZBQBfoMRns1VdLxNqoWJLrGtq6Jtm5eczYoWuXxPasPZBE/IUMnm7jb3QUEbFVu6bBilehbkfoOQXsHY1OJCJ3QcWSXFetym50qF+FGTtOknk11+g4Ihb1/ZYTVKvoSlhDb6OjiIgtipwFy16B2g9Dn2ng4GR0IhG5SyqW5IaebuvP+cvZLIlMMDqKiMVExafye2wKQ1v7Y2+nblQiYmHR82HxC1DrAeg7AxzUQEbEmqlYkhsKrVWJAJ/yfL/lBGaz2eg4Ihbx/ZYTuDk70CekmtFRRMTW7F8Mi56Dmm2g32xwdDU6kYjcIxVLckMmk4mn2/hz5Mwlfo05Z3QckXuWeDGDFXsT6du8OuVcdP2AiFjQoZ9hwdNQrTn0nwNOZYxOJCIWoGJJbqpLkA+ebs58v0VtxMX6Tdt2kjyzmafULlxELOnIGpg3BHyC4cn54OxmdCIRsRAVS3JTzg72DA6twaYjZ4k5k250HJG7djkrh1m/neTRht5U99AZXxGxkKPrYO5A8GoIAxeAS3mjE4mIBalYklt6sqUfzg52TNEitWLFFuw+RVpmDs+0VbtwEbGQ45tgzgDwrAuDFoGr1m0TsTUqluSWKrk506OpLwt3J3DukhapFeuTm2dmypYTBFWvQFO/ikbHERFbcHIbzO4HFf1h8GIo42F0IhEpAiqW5LY807YW2bl5TN0aa3QUkTu2al8SseevMKxdLUwmtQsXkXsUvxNm9gb3ajBkKZT1NDqRiBQRFUtyW+6r7MajDbyZvj2WS1k5RscRuW1ms5mvNx3F37OsFqEVkXuXsAtm9AS3KjB4af5PEbFZKpbktg1rfx9pmTnM/i3O6Cgit23r0fPsS0jjuXa1tAitiNybxCj48QlwrQhDlkF5H6MTiUgRU7Ekty24egVCa1XiP1uOk5WTa3QckdvyzaZjVCnnzBNNfY2OIiLW7Mx+mN4NnMvnF0ruWthapDRQsSR3ZFj7+ziTlsWSPaeNjiJyS3tPXWTL0XP8rY0/zg72RscREWuVfAimdQUH1/xrlCrWMDqRiBQTFUtyR9rV8aSBT3m+2XyMvDyz0XFEbuqbTcco5+LAky39jI4iItbq3FGY3hXs7PNHlDxqGZ1IRIqRiiW5IyaTiWHt7+P42cusPXjG6DgiN3Ti3GVW7ktk4P01KOfiaHQcEbFGF47DtC6Ql5tfKHnWNjqRiBQzFUtyxzoFelPdw5WvNx7DbNbokpRMkzcfx8HejqGtaxodRUSsUcrJ/Kl3OZn5U+8q1zM6kYgYQMWS3DEHezvC291HZHwqv524YHQckWskp2eyYPcpejWrRpVyLkbHERFrc/FU/ohSVlr+grNeDY1OJCIGUbEkd6V3s2p4ujnx7w1HjY4ico3vfz1BTm4e4W11bYEUv/bt22MymQrd+vXrd8vjFixYQIMGDXB2dqZBgwYsWrSoGNLKNdIS8wuljBQYtAh8goxOJCIGUrEkd8XF0Z5n29bi15hz7I5LMTqOSIHzl7KYvv0kXYOqUtOzrNFxpJQaOnQoiYmJBbdvv/32pvtv376dvn378uSTTxIZGcmTTz5J7969+e2334opsQBwKTm/ULqUDAMXgG8zoxOJiMFULMldG3h/DSqWceTLdTFGRxEp8P2WE2Tm5PLSQ7oQW4xTpkwZvL29C27u7u433f+zzz7jwQcf5M033yQgIIA333yT9u3b89lnnxVTYuHyufxrlNIS4Mn5UL2F0YlEpARQsSR3rayzA8+0rcWGw2eJPpVqdBwRUq9kM21bLJ0bV6V2lXJGx5FSbM6cOXh6etKwYUNeffVV0tPTb7r/9u3bCQsLK7Tt0UcfZdu2bUUZU/5w5UL+grMpJ2DAXKjRyuhEIlJCqFiSezI4tAburo58sU7XLonxpmw5weXsXP6uUSUx0IABA5g5cyYbNmzg7bffZsGCBfTo0eOmxyQlJeHl5VVom5eXF0lJSTc8ZvLkyYSEhBASEsLZs2ctkr1UykiFH7vDuRjoNwv82xmdSERKEBVLck/KuTjydBt/fjl4hn0JF42OI6XYxYyr/LA1lk6NvKnrpVElsay33nrrmqYNf71t3LgRgPDwcB599FEaNWpEv379mDt3Lr/88gu7d+++6XOYTKZCv5vN5mu2/Vl4eDgRERFERERQuXLle36NpVJmGszoCWcOQN8ZULuD0YlEpIRxMDqAWL8hrWry3a/H+XJ9DN8OCjE6jpRSP2w9QXpWDi89WMfoKGKDhg8fzsCBA2+6j5+f33W3h4SEYG9vT0xMDE2bNr3uPt7e3teMIiUnJ18z2iQWlHUJZvaGxEjoMx3qht36GBEpdVQsyT1zd3VkaGt/vlgXw8HENAJ8yhsdSUqZtMyrTNlygrAGXjSoqn9/Ynmenp54enre1bF79+4lNzcXHx+fG+4TGhrK2rVree211wq2rV27llatdO1Mkci+ArP6wqnfofcPUP9xoxOJSAmlaXhiEU+39sfN2YGv1uvaJSl+07fFkpaZw8sdNKokxjp27Bjvv/8+ERERxMbGsmLFCvr160eTJk1o3bp1wX4dOnRg9OjRBb+/8sorrF+/nvHjx3Po0CHGjx/Phg0bGD58uBEvw7ZdzYA5/SFuG/SYDA26GZ1IREowFUtiEe5lHHmqVU1W7EvkcNLNuz6JWFJ65lX+s+UEHepXIdD35u2ZRYqak5MT69at49FHH6VevXq8/PLLhIWF8csvv2Bvb1+w37Fjx0hMTCz4vVWrVsyZM4dp06bRuHFjpk+fzty5c2nZsqURL8N25WTB3IFwfBN0mwSNehmdSERKOE3DE4t5pq0/07bF8snaw7p2SYrN91tOkHrlKsMfrmt0FBGqV6/Opk2bbrlfbGzsNdt69epFr1768l5kcrJh3hA4+gt0+QKC+xudSESsgEaWxGIqlHHimba1WL3/DFHxWndJil7K5Wz+8+sJOgZ606iaRpVE5AZyr8JPQ+HISnj8Y2g2xOhEImIlVCyJRf2tTU0qlnHk/9YcNjqKlALfbDrG5ewcRjyiUSURuYHcHFgYDoeWw2MToPkzRicSESuiYkksqpyLIy+0r82vMefYcfy80XHEhp1Jy2TqtlieCPaljtZVEpHrycuFJS/A/oXwyAdw//NGJxIRK6NiSSxuUGgNvMo783+rD2M2m42OIzbqq/VHyc0z61olEbm+vDxY+jJEz4WH3obWLxudSESskIolsTgXR3teeqgOESdT2Hj4rNFxxAbFX7jC7J1x9G1eHb9KZYyOIyIljdkMP4+AyBnwwCho96rRiUTESqlYkiLRN6Q61T1c+b81h8nL0+iSWNZnv8Rgb2fi7w9pXSUR+QuzGVa+Abt+gDYjoP0ooxOJiBUr8cXS5s2b6dq1K76+vphMJqZOnVrofrPZzHvvvUfVqlVxdXWlffv27N+/35iwUsDJwY7hHeqy/3QaK/Yl3voAkdt0NDmdRXtOMej+Gni7uxgdR0RKErMZ1rwFO7+F0JegwztgMhmdSkSsWIkvli5dukRgYCCff/45rq6u19z/0Ucf8fHHH/Pll1/y+++/U6VKFR555BHS07UwqtG6N/GlrpcbE1cfJjsnz+g4YiMmrDxEGScHnm9/n9FRRKQkMZth3VjY/hW0eA7CxqlQEpF7VuKLpU6dOvGvf/2LXr16YWdXOK7ZbOazzz5j1KhR9OzZk8DAQKZNm0Z6ejqzZs0yKLH8wd7OxOiOAZw8f4UZO04aHUdswPZj5/nlYDLPt7+PSm7ORscRkZJk4wTY8ik0GwodP1ShJCIWUeKLpZs5ceIESUlJhIWFFWxzdXWlXbt2bNu27brHTJ48mZCQEEJCQjh7Vs0Hilr7epVpXbsSX6yP4WLGVaPjiBXLyzPzrxUH8XF34ek2/kbHEZGSZPNE2DQBggfC45+oUBIRi7HqYikpKQkALy+vQtu9vLwK7vur8PBwIiIiiIiIoHLlykWesbQzmfJHly5mXGXSxqNGxxErtiz6NHsTLvJqWD1cHO2NjiMiJcXWz2H9OGjcF7p+AXZW/dVGREoYm3hHMf3lDJLZbL5mmxgn0NedJ4J9+WFrLKdSrhgdR6xQ5tVcPlp1mAY+5Xmiia/RcUSkpNjxNax9Bxr2gG6TwE4nUkTEsqy6WPL29ga4ZhQpOTn5mtEmMdbIR+sB8PGaIwYnEWs0fXssCakZjOkUgJ2dToSICLDzO1g1CgK6QI/JYO9gdCIRsUFWXSz5+/vj7e3N2rVrC7ZlZmby66+/0qpVKwOTyV/5VnDl6Tb+LNqTwL6Ei0bHESuScjmbr9YfpX29yrSp42l0HBEpCXZNgxWvQt2O0HMK2DsanUhEbFSJL5YuXbpEZGQkkZGR5OXlERcXR2RkJHFxcZhMJoYPH86ECRNYuHAh+/bt46mnnsLNzY0BAwYYHV3+4vn29+FR1okPlh/AbNZCtXJ7Pl8Xw6WsHEZ3DDA6ioiUBJGzYdkrUPth6DMNHJyMTiQiNqzEF0sRERE0adKEJk2akJGRwbvvvkuTJk145513AHj99dcZMWIEL774IiEhISQmJrJmzRrKlStncHL5q/Iujox4pC6/nbjAir3Xb8Ah8mdHzqTz446T9GvhRz1v/Z8WKfX2/gRLXoBaD0DfGeCgJQREpGiV+Am+7du3v+kohMlk4r333uO9994rvlBy1/q38GPmb3H88+cDPFS/Cq5OuhhXrs9sNjN22X7cnB14Naye0XFExGj7F8PCcKjRGvrNBsdrF6oXEbG0Ej+yJLbF3s7E2K4NOX0xk683HTM6jpRgq/cnsfXoeUaG1cWjrKbZiJRqh36GBU9DtebQfw44lTE6kYiUEiqWpNi18Pega1BVvtl0jPgLaiUu18q8mssHyw9S37scA1r4GR1HRIx0ZA3MGwI+wfDkfHB2MzqRiJQiKpbEEKM71cfeZOKfPx80OoqUQN9uOk5CagbvdmmIg73epkRKraPrYO5A8GoAAxeAS3mjE4lIKaNvIWIIH3dXXnqoNqv2J7El5pzRcaQEOZVyhUkbj/J4Yx9C76tkdBwRMcrxTTBnAHjWhUGLwbWC0YlEpBRSsSSGebqNP34eZXhv2X6yc/KMjiMlxL9WHMRkgjGd1CpcpNQ6uQ1m94OK/jB4MZTxMDqRiJRSKpbEMC6O9rzTuQFHky/xny3HjY4jJcCGQ8ms2JvESw/WxreCOl2JlErxO2Fmb3CvBkOWQlktRi0ixlGxJIZ6uIEXjzX05vNfYog7r2YPpdmV7BzeWryP2lXcCG93n9FxRMQICbthRk9wqwKDl+b/FBExkIolMdx7XRviaG/HW0v23XRNLbFtn6+LISE1g392D8TJQW9NIqVOYhT82B1cK8KQZVDex+hEIiIqlsR43u4uvBpWl81HzrIsOtHoOGKAQ0lpfP/rCfqEVKNlLTV1ECl1zuyH6d3BuXx+oeRezehEIiKAiiUpIQaF1qRxNXfeX3aAi1euGh1HilFenpnRC/dS3tWR0R3V1EGk1Ek+BNO6goNL/jVKFWsYnUhEpICKJSkR7O1M/OuJRly4nMWHqw8ZHUeK0ezf49gTl8qbnQKoWNbJ6DgiUpzOHYXpXcHOPn9EyaOW0YlERApRsSQlRqCvO39r7c+s3+L4PfaC0XGkGJxOzWDCikOE1qpEj6a+RscRkeJ04ThM6wJ5ufnNHDxrG51IROQaKpakRPnHI3Wp7uHKa/OjyMjONTqOFCGzOX/6XU6emQ97NsZkMhkdSUSKS8rJ/Kl3OZn5U++q1Dc6kYjIdalYkhKlrLMDH/UMIvb8FT7SdDybNn/XKTYdOcuojvXxq1TG6DgiUlwunsofUcpKy19w1quh0YlERG5IxZKUOKH3VWJwaA2mbotl5wlNx7NFiRcz+GDZAVr4ezDofl3MLbYjNjYWk8l03dvEiRNveNzUqVOve0xmZmYxpi8GaYn5hVJGCgxaBD5BRicSEbkpFUtSIr3xWH2qVXTltZ+iuJKdY3QcsaA/pt9dzctjYq/G2Nlp+p3YjurVq5OYmFjoNmnSJEwmE7169brpsWXKlLnmWBcXl2JKXgwuJec3c7iUDAMXgG8zoxOJiNySiiUpkf6Yjnfy/BU+WnXY6DhiQT/tOsXGw2d547H61KhU1ug4IhZlb2+Pt7d3odvChQt5+OGH8ff3v+mxJpPpmmNtxuVz+dcoXTwFT86H6i2MTiQicltULEmJFXpfJYb8dzretqPnjI4jFhB/4Qpjlx2gRU0PhoTWNDqOSJE7ceIE69atIzw8/Jb7ZmRkUKNGDapVq0bnzp3Zs2dPMSQsBlcu5C84m3ICBsyFGq2MTiQicttULEmJ9kbH+tTyLMuIeVGkXsk2Oo7cg5zcPIbPjcQEfNwnSNPvpFT47rvv8PT0pFu3bjfdr169ekyZMoUlS5Ywe/ZsXFxcaN26NTExMTc8ZvLkyYSEhBASEsLZs2ctHd0yMlLhxyfg3BHoNwv82xmdSETkjqhYkhKtjJMDn/drwvnLWYxeuBez2Wx0JLlL/95wjF0nUxj3RCDVPdT9TqzLW2+9dcPGDX/cNm7cWOiYnJwcpk6dylNPPYWjo+NNHz80NJQhQ4YQHBxM27ZtmTt3Lvfddx9ffvnlDY8JDw8nIiKCiIgIKleubImXaVmZaTCjJ5zZD31nQO0ORicSEbljDkYHELmVRtXcGRlWjwkrDzEvIp6+zf2MjiR3aNfJFL5YH0P34Kp0C9bis2J9hg8fzsCBA2+6j59f4femZcuWkZiYyDPPPHPHz2dvb09ISMhNR5ZKtKxLMLM3JEZCn+lQN8zoRCIid0XFkliF8La12HzkLO8tPUDzmh7UquxmdCS5TemZVxk+dw/e5V14v3ug0XFE7oqnpyeenp53dMx3333HAw88QN26de/4+cxmM9HR0QQFWWFr7ewrMKsvnPodek2B+o8bnUhE5K5pGp5YBTs7E5/0CcbZ0Y5X5kSSnZNndCS5DWazmXeW7CchJYPP+gVT3uXmU5FEbEVcXByrV6/m2Wefve79HTp0YPTo0QW/jx07ltWrV3P8+HEiIyN5+umniY6OZtiwYcUV2TKuZsCc/hC3DZ74Fhp2NzqRiMg9UbEkVsPb3YUJPRqzN+Ei/1px0Og4chvm/B7Poj0JvNyhDs1rehgdR6TYfP/997i7u9OzZ8/r3n/s2DESExMLfk9NTSU8PJyAgADCwsJISEhg8+bNtGhhRS22c7Jg7kA4vgm6/Rsa9zY6kYjIPTOZS/EV8yEhIURERBgdQ+7Q+8sOMGXrCb7s34QuQVWNjiM3sC/hIj2+3kZLfw+mDm2BvbrfWR29R1oPw/+ucrJh3mA4shK6fAHNhhiXRUTkL+7lPVIjS2J1RneqT7MaFRm1IJqjyZeMjiPXcTHjKi/M3I1HGSc+6xusQknEluVehQV/yy+UHv9YhZKI2BQVS2J1HO3t+PeAprg42vP8jF1czsoxOpL8idls5tX5UZxOzeDfTzahkpuz0ZFEpKjk5sCi5+DgMnhsAjS/885/IiIlmYolsUre7i580b8Jx85eYswirb9Ukny7+ThrD5xhdKcAmtXQdUoiNisvF5a8CPsWwCMfwP3PG51IRMTiVCyJ1Wpd25MRj9RlSeRp/vPrCaPjCLDhUDIfrjrE4418+FvrmkbHEZGikpcHy16G6Dnw0NvQ+mWjE4mIFAkVS2LVXmhfm06NvPnXyoNsOJRsdJxS7WhyOi/P3kOAd3km9m6MyaTrlERsktkMP4+APTPggVHQ7lWjE4mIFBkVS2LV7OxM/F/vIBr4lOfvs/cQcybd6EilUuqVbJ6ZFoGzox3fDQmhjJPWuxaxSWYzrHwDdv0Abf4B7UcZnUhEpEipWBKrV8bJge8Gh+DiaM/T0yJIuZxtdKRSJSc3j5dm7eF0aibfDmqGbwVXoyOJSFEwm2HNW7DzWwh9CTq8CxpBFhEbp2JJbELVCq5MHtyMpLRMnpuxi8yruUZHKhXMZjNvLd7HlqPnGPdEoBo6iNgqsxnWjYXtX0GLcAgbp0JJREoFFUtiM5r6VeT/egex88QFRsyLJDdPHfKK2ufrYpjzezx/f6g2fUKqGx1HRIrKxgmw5VNoNhQ6fqRCSURKDV1YIDala1BVktMyGffzQTzd9jO2a0M1Gigic3bG8dkvMfRqVo0Rj9Q1Oo6IFJXNE2HTBAgeCI9/okJJREoVFUtic55pW4uki5n8Z8sJvMq78OKDtY2OZHPWHzrDm4v38UDdyozv0UgFqYit2voFrB8HjftC1y/AThNSRKR0UbEkNmlMpwCS07OYuPowHmWd6N/Cz+hINmP7sfM8P2M3DXzKM+nJpjja68uTiE3a8Q2sfRsa9oBuk8DO3uhEIiLFTsWS2KQ/WopfzLjKmEV7cbS3o1ezakbHsnq7Tl7g6Wm/4+dRhqlDm1PWWW8hIjbp9//AqjcgoAv0mAz2+r8uIqWTTgmLzXJysOPbQedYnNwAABMISURBVM1odV8lXv8piiWRCUZHsmrRp1J5asrveJd3YeazLank5mx0JBEpCrunw88joW5H6DkF7B2NTiQiYhgVS2LTXBzt+c/g5jSv6cGIeVGs2JtodCSrtP/0RQZ9v5MKZR2Z+WxLqpRzMTqSiBSFyNmw9GWo/TD0mQYOTkYnEhExlIolsXmuTvZMeao5TapX4O+z92iE6Q7tOplCv8k7KOtkz6xn7sfHXYvOitikvT/Bkheg1gPQdwY4aPRYRETFkpQKZZ0dmPq3FjSvWZHhcyP5ccdJoyNZhS0x5xj0/W94ujkz//lWVPcoY3QkESkK+xfDwnDwawX9ZoOjToqIiICKJSlF3JwdmDq0BR3qV+Htxfv494ajRkcq0dbsT+JvU/ObOcx7LhTfCvryJGKTDv0MC56Gas1hwFxw0kkREZE/qFiSUsXF0Z6vBzaje3BVJq4+zAfLD5CbZzY6VokzY8dJnp+5mwZVyzMn/H4ql9N0HBGbdGQNzBsCPsHw5HxwdjM6kYhIiaJeoFLqONrb8UmfYCqUceL7LSc4ef4Kn/cLVhtsIC/PzPiVB/nu1xM8WK8yXw5oipv+XERs09F1MHcgeDWA/2/v/qOirvM9jr8GFJj4GfFj0BQxDVbEChBXUYK9Revupm6u5UXJ3Ouh3S3NWs+57a7nQkXHc+p2qquyid3QbXPz3pPbNffYvXjXAoVrKuUPbEoUxVpGUDEFFkn43j9c2YjxBzDjlxmej3PmdPrOML7m07d5+Z7vd77Mf0cKCDE7EQAMOBxZwqDk42NRwYxEPTMjUX+2n9Sc1ypV/9VfzY5lqtb2i/r5W3u1trxWCybHau3DqQxKgLeqLZPezpEibpdy35WsYWYnAoABiWEJg9qCKaP0749MVN2ZVs1YtVO7jp42O5IpjjY268erK/Q/h04q//5xembmeA3x5e0B8ErHK6QND0k3x0kPvyvdFG52IgAYsPjbEAa9rPgovfPzKQryH6Kc13dpzYdHZBiD53tM7x90aOaqnWo436b1C9O0MD3O7EgA3OXER9Jbc6TQW6UFm6XACLMTAcCAxrAESIq3BWvz4+m6LzFaK7balffmXjW1tJsdy63avu5Q4ZZD+tnv92p0ZKC2LJmmjNsjzY4FwF2+rJJ+P1sKipIe3nzpnwCAq2JYAv4mOGCoVuck619+NE7b7Q3KfqVM2+0NZsdyi+q/fKWZq3bq9R21enhyrP7jZ1waHPBq9fukN2dJ1pulBe9JITFmJwIAj8CwBHyDxWLRT6fG6d3H0hV+k58Wrtutp9/Zr/NtX5sdzSW+7ujU6u01mrV6p860tqtk4UQ9O3O8/If4mh0NgLucrJZ+N0vyD7k0KIXeanYiAPAYXOoKcGL88FBtXpyul0sPq7jsiLZ/1qDf/HCc7p8QI4vFYna8Pvmo9oyWv3tAn59s1g+SbCqclaTwQD+zYwFwpwa7tH6GNMT/0neUbo41OxEAeBSOLAFX4D/EV09PT9CmX6QrKjhAS/7wsXLW7tLnJ8+bHa1XTp5r07L/3KcH11Sq5UKH1j6cqqJ5KQxKgLc7VSP9bobk43vpiFL4aLMTAYDH4cgScA13jgjTu4+l6w8f1enF//5M33+lTD++61YtvWesRoTfZHa8K/qq9Wv99sMjWldRq4sdhn6eeZsWf2+MbvLjf3vA6505Kq2/X+rskB75kxQx1uxEAOCR+FsTcB18fSya/91Y/SApRr/9oEa/qzyuzfu+1EMTR2jR1NEaFRFodsQup5sv6M3/O643dtTq/IWLmnnHMD157+2KvWXgZATgRmfrLp16d7FNemSLFJVgdiIA8FgMS0AvhAf66Tc/HKd/mjpaK/98WBt3n9Bbu+r0DwnR+unUUZo8+hbTvtNkd5zT+orj2lT1hS5c7NQ934nWL7Nv13diQkzJA8AEX30prfuRdOHcpVPvohPNTgQAHo3vLAF9YAsN0PM/TtLOf/6eFmeNUVVdk3LW7lLmv36gl0s/17FTLTckR+P5C1pfcUw/Wlmu779SrneqvtADycO17am79fqCVAYlwMWKi4uVlZWlsLAwWSwWHTt2rMdjmpqalJubq9DQUIWGhio3N1dnz5695nMXFRUpLi5OAQEBSklJUXl5ee/Cnau/dOrdX5uk3D9KMXf07ucBAD1wZAnoh6iQAD2VHa9fZI3Rlv31+uPHX+jf/nxYr/7vYd0eHaSs+CjdHR+pu0bcLKtf/y/P3X6xUwf/8pUqj5zWtk9P6pMTZ2UYUuKwEBXcP04z7hzOhRsAN2ptbVV2drZmzpypJ5980uljcnJyVFdXp61bt8pisWjRokXKzc3Ve++9d8Xn3bhxo5544gkVFRVp6tSpKioq0vTp03Xo0CGNHDny2sE6L166mEPzyUuD0vCUvr5EAMA3WAzDMMwOYZbU1FTt2bPH7BjwMo6v2rRl/1+0/bMGfVR7Rl93GPL1sSg+Olh3jAjVbZFBir0lUCPDb9LNNw1ViHWoAob+fZC62NGpptavdaalXQ3n23S0sUVHGptlrz+vfV+c1YWLnZKkO24N1T3fida9idFKsHEECa7He+SV7dmzRxMnTlRtba1GjRrVtf3TTz/VuHHjtGPHDqWnp0uSduzYoWnTpslutys+Pt7p802aNEkTJkzQ2rVru7aNHTtWP/nJT7RixYpr5kmNDdKevGBp/jtS7JT+vTgA8DL96TOOLAEuZgsN0KJpo7Vo2mg1X7ioXUdP65MTZ/XJibPaetChs609f8HtUN9L33Pq6DTU6eTji2D/IRoTHaT5341VauzNSh0Vrshgf3e/FAC9VFlZqaCgIE2Z8veBJT09XYGBgaqoqHA6LLW3t2vv3r1atmxZt+3Z2dmqqKi4vj/44gXpH//EoAQALjaohyW73a7U1FSzY3i8xsZGRUZGmh3DIwyRFHGV+6+2lif+dvsvN+TyNuyTrmG3282O4HEcDociIyO7XejFYrEoKipKDofD6c+cOnVKHR0dio6O7rY9Ojpa27Ztu+KfVVxcrOLiYknSwdO+Sn3wly54BYMb7x2uwTq6DmvpGv3ps0E9LCUkJHCKiQtwqo7rsJauwTq6xmD5MGn58uV6/vnnr/qY7du3KzMz87qez9kVMQ3DuOaVMr99/7V+Ji8vT3l5eZLY512FdXQN1tF1WEvX6E+fDephCQCApUuXav78+Vd9zHVdZEGSzWZTQ0NDt0HHMAw1Njb2OHJ0WUREhHx9fXsceWpoaLjizwAAbgyGJQDAoBYREaGIiKudIHv9Jk+erObmZlVWVnZ9b6myslItLS3dvsf0TX5+fkpJSVFpaanmzJnTtb20tFSzZ892SS4AQN/4FhQUFJgdwkwpKVxe1RVYR9dhLV2DdXQN1rE7h8Ohmpoa2e12bdq0SdnZ2WppaZGfn5+sVqsiIyO1a9cubdiwQcnJyTpx4oQeffRRpaWlafHixV3Pk5CQIElKS0uTJIWEhCg/P18xMTGyWq0qLCxUWVmZSkpKFBYWdl3Z+G/lGqyja7COrsNaukZf13FQXzocAIDeKCgo0DPPPNNje0lJiR555BFJ0pkzZ7RkyRJt3rxZkjRjxgytWrWq29BjsViUn5+vb35eWVRUpBdeeEH19fUaP368Xn75ZWVkZLj19QAAro5hCQAAAACc8DE7AAAAAAAMRAxLAAAAAODEoByWiouLlZWVpbCwMFksFh07dqzHY5qampSbm6vQ0FCFhoYqNzdXZ8+evfFhPUxmZqYsFku329y5c82ONeAVFRUpLi5OAQEBSklJUXl5udmRPEpBQUGP/c5ms5kdyyOUlZVpxowZGj58uCwWi9atW9ftfsMwVFBQoGHDhslqtSozM1PV1dXmhEUP9Jl70GV9R5/1D33WN+7sskE5LLW2tio7O1tXuxBgTk6OqqqqtHXrVr3//vuqqqpSbm7ujQvpwRYuXKj6+vqu25o1a8yONKBt3LhRTzzxhH7961/r448/1pQpUzR9+nTV1dWZHc2jxMfHd9vvDhw4YHYkj9Dc3Kzx48fr1VdfldVq7XH/Cy+8oJdeekkrV67U7t27FRUVpXvvvVfnz583IS2+jT5zH7qs9+gz16DPes+tXWYMYrt37zYkGbW1td22Hzp0yJBk7Nixo2tbeXm5Icmw2+03OKVnufvuu43HHnvM7BgeJS0tzVi0aFG3bWPGjDGefvppkxJ5nvz8fCMxMdHsGB4vMDDQKCkp6fr3zs5Ow2azGYWFhV3bWltbjaCgIOO1114zISGuhD5zLbqsb+iz/qPP+s/VXTYojyxdS2VlpYKCgrr9AsH09HQFBgaqoqLCxGSe4e2331ZERIQSExO1bNkyPoG+ivb2du3du1fZ2dndtmdnZ7Ov9dLRo0c1fPhwxcXFae7cuTp69KjZkTxebW2tHA5Ht/3TarUqIyOD/dND0Gd9R5f1Dn3mOvSZa/W3y4a4M5yncjgcioyMlMVi6dpmsVgUFRUlh8NhYrKBLycnR7GxsRo2bJiqq6v1q1/9Svv27VNpaanZ0QakU6dOqaOjQ9HR0d22R0dHa9u2bSal8jyTJk3SunXrlJCQoIaGBhUWFmrKlCmqrq7WLbfcYnY8j3X5/c7Z/vnll1+aEQm9RJ/1DV3We/SZa9BnrtffLvOaI0vLly/v8YW4b98++OCD636+bxbLZYZhON3u7Xqztnl5ebrvvvuUlJSkuXPnauPGjdq2bZuqqqrMfRED3Lf3q8G6r/XV9OnT9eCDD2rChAm65557tGXLFnV2dmr9+vVmR/MK7J83Fn3mHnTZjcH7Rf/QZ+7T133Ta44sLV26VPPnz7/qY0aOHHldz2Wz2dTQ0NBtEQ3DUGNjY4+pdDDoz9qmpqbK19dXhw8fVnJysjviebSIiAj5+vr2+IS3oaFhUO5rrhIUFKTExEQdPnzY7Cge7fIVmBwOh0aMGNG1nf3Tvegz96DL3Is+cw/6rP/622VeMyxFREQoIiLCJc81efJkNTc3q7Kysus878rKSrW0tHQ773uw6M/aHjhwQB0dHYqJiXFxKu/g5+enlJQUlZaWas6cOV3bS0tLNXv2bBOTeba2tjbZ7XZlZWWZHcWjxcXFyWazqbS0VBMnTpR0aW3Ly8v14osvmpzOe9Fn7kGXuRd95h70Wf/1t8t8C652vVEv5XA4VFNTI7vdrk2bNik7O1stLS3y8/OT1WpVZGSkdu3apQ0bNig5OVknTpzQo48+qrS0NC1evNjs+APWkSNHtGrVKgUGBqq9vV0VFRXKy8vTiBEj9Nxzz8nHx2vO+nSpkJAQ5efnKyYmRlarVYWFhSorK1NJSYnCwsLMjucRli1bJn9/fxmGoc8//1yPP/64ampqtGbNGtbwGpqbm3Xo0CE5HA69/vrrSkpKUmhoqNrb2xUWFqaOjg6tWLFC8fHx6ujo0FNPPaX6+noVFxfL39/f7PiDHn3menRZ39Fn/Uef9Y1bu8xVl+nzJPn5+YakHrdvXmbw9OnTxrx584zg4GAjODjYmDdvntHU1GReaA9QV1dnZGRkGOHh4Yafn59x2223GUuWLDFOnz5tdrQBb/Xq1UZsbKzh5+dnJCcnGx9++KHZkTzKQw89ZMTExBhDhw41hg0bZjzwwANGdXW12bE8wvbt252+Hy5YsMAwjEuXXM3PzzdsNpvh7+9vZGRkGAcOHDA3NLrQZ65Hl/UPfdY/9FnfuLPLLIZhGK6f7wAAAADAs3EsGQAAAACcYFgCAAAAACcYlgAAAADACYYlAAAAAHCCYQkAAAAAnGBYAgAAAAAnGJYAAAAAwAmGJQAAAABwgmEJAAAAAJxgWAIAAAAAJxiWAAAAAMAJhiXAZLNmzZLFYtGKFSvU3NysZ599VomJibJarRoyZIja2trMjggAwDXRZ/BGQ8wOAAx2+/fvlyT5+/srKSlJx44dk9VqlY+Pj8aOHauAgACTEwIAcG30GbyRxTAMw+wQwGB17tw5hYWFyTAMBQYGatSoUVq5cqUyMzNlsVh0/PhxxcbGmh0TAICros/grTiyBJho//79uvx5RUxMjHbu3KnQ0NCu+ykWAIAnoM/grfjOEmCiffv2SZIsFoveeOONbsUCAICnoM/grRiWABNdLpdJkyZp2rRpJqcBAKBv6DN4K4YlwESXy2XmzJkmJwEAoO/oM3grhiXAJJ2dnTp48KAkKSMjw+Q0AAD0DX0Gb8awBJikpqZGra2t8vHx0YQJE8yOAwBAn9Bn8GYMS4BJLp+yMGbMGAUFBZmcBgCAvqHP4M0YlgCTXC6XO++80+QkAAD0HX0Gb8awBJjkcrncddddJicBAKDv6DN4M4YlwCR8EgcA8Ab0GbyZxbj865YB3DBNTU0KDw+XJNXX18tms5mcCACA3qPP4O0YlgAAAADACU7DAwAAAAAnGJYAAAAAwAmGJQAAAABwgmEJAAAAAJxgWAIAAAAAJxiWAAAAAMAJhiUAAAAAcIJhCQAAAACcYFgCAAAAACcYlgAAAADAif8H1tVGtbvTW3wAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 1D\n", "positions = np.linspace(-10,10, test_timing_with_points)\n", "\n", "V = potentials1D.harmonicOscillatorPotential()\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2D" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 64.7 ms\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 2D\n", "positions = np.linspace(-4, 4, test_timing_with_points)\n", "x_positions, y_positions = np.meshgrid(positions,positions)\n", "positions2D = np.array([x_positions.flatten(), y_positions.flatten()]).T\n", "\n", "V = potentials2D.harmonicOscillatorPotential()\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions2D)\n", "\n", "\n", "print(\"\\nVisualization\")\n", "positions = np.linspace(-4, 4, test_timing_with_points)\n", "x_positions, y_positions = np.meshgrid(positions,positions)\n", "positions2D = np.array([x_positions.flatten(), y_positions.flatten()]).T\n", "\n", "fig, axes = vis.plot_potential(V, positions2D)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Double Well Potential\n", "The double well potential can be used to simulate a system with two states continously. For example in chemistry this can be used as a toy model for the transition of protonation states of a single protonatable molecule. (see Donnini 2016)\n", "\n", "Functional:\n", "\n", "$V = \\frac{V_{max}}{b^4}*((-\\frac{a}{2} + r)^2-b^2)^2$\n", "\n", "\n", "first order derivative\n", "\n", "$\\frac{\\partial V}{\\partial r} = \\frac{V_max}{b^4}*(-2a + 4r)*((-a/2 + r)^2-b^2)$" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 1.36 ms\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0sAAAHgCAYAAAB0APZyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdd3hUZRo28PtMJn3SK+kJISShJCR0kSJFRUoUXBRhxd5QVFzL4n6wn2X9cG1rWUERBbGAKCKKSO89BQgJJb333pM53x9DZomZJDNkkjPl/l0X11w5czLnyQA5c5/zvs8riKIogoiIiIiIiDqQSV0AERERERGRIWJYIiIiIiIi0oBhiYiIiIiISAOGJSIiIiIiIg0YloiIiIiIiDRgWCIiIiIiItKAYYmI6AZ8+eWXEAQBX375pcEe88CBAxAEAatWrerTuvrKq6++CkEQcOTIEfW2PXv2QBAEvP766xJWZhhaW1shCAKmTZsm6WsQEZkyhiUiItLo8OHDEAQBd999t8bnZ82apdXzJ0+e7MsyAQB+fn4QBEH9Ry6Xw8vLC3PmzMHBgwd7/dqhoaF6qlQ3mgIjERH1H7nUBRARkWEaM2YMbG1tNYaNtrY2HDlyBIIg4ODBgxBFEYIgqJ9XKpU4cuQIFAoFYmNj+6VeW1tbvPjiiwCAxsZGJCUl4ZdffsGOHTuwZcsWzJs3r1/q6C9yuRwpKSmwt7eXuhQiIpPFO0tERKSRlZUVxo0bh5KSEly8eLHDc4mJiaiqqkJcXFy3z0+YMAFyef9cl7Ozs8OqVauwatUqvPXWW9i5cyfWrl0LURTx0ksv9UsN/S08PBz+/v5Sl0FEZLIYloiIulFXV4fly5fDx8cHtra2iImJwdatW7v9nnXr1mHUqFGwt7eHo6MjJk6ciJ9//rnTfkuWLIEgCMjMzNTpOQDYsmULYmJiYGtrCx8fHyxfvhx1dXVa/1wJCQm4++674eXlBWtrawwcOBCvvPIKamtrO+w3efJkAKr5T9dr//of//iHxufb70ZNmTKl07E3b96MSZMmwcnJSf2efv7551rXrosHH3wQNjY2SEtLQ2VlpXp7cXExli5dioCAAFhbW8PHxwcPPvggsrOz1ftcvXoVgiAgLy8PaWlpHYb5ff311+r9lEolPv30U4wePRoKhQIKhQI33XSTxr/zRYsWQRAE5OTk4L333kNYWBisra0RGhqKjz76qMO+EyZMwBtvvAEAuPnmm9XHbp9f1NV8o9OnT+PJJ59EZGQkHBwcYG9vj9jYWHz66ae9f0OJiMwMh+EREXVBqVRi1qxZOHDgAGJiYvDXv/4V+fn5WLhwIaZPn67xe55++ml89NFHCAwMxGOPPYbm5mZs2bIFcXFxeOedd/D888/3uq4tW7Zg7969WLBgAWbMmIHdu3fj3XffRUJCAvbs2QOZrPvrYD/99BPuueceWFlZIS4uDt7e3oiPj8dbb72F/fv349ChQ7CysgLwv7B08OBBPPnkk+rXOHjwIAYPHowRI0YgNDQUBw4cwFNPPaV+vj08tX9/u+eeew7vv/8+goODcc8998DGxga7d+/GI488gkuXLuHtt9/u9fvTk6KiIowdOxaZmZmYMWMG7rvvPqSmpuLLL7/Er7/+iqNHjyI0NBSurq5YuXIl3n33XcjlcjzzzDPq1xg+fDgA1b+Rv/zlL9i6dSuGDh2KJUuWQKlU4tdff0VcXBw+/PBDLF26tFMNzz77LI4ePYpZs2bB2toamzdvxtNPPw0bGxs8/PDDAFRBTyaT4fDhw3jggQcQEBAAAAgJCen251uzZg127dqFiRMnYvbs2aiursauXbvwxBNP4OrVq/j3v/+tr7eSiMj0iUREpNG6detEAOLcuXPFtrY29fY9e/aIAEQA4vr169XbDxw4IAIQhw8fLtbU1Ki3FxQUiD4+PqJcLhfT0tLU2++//34RgJiRkdHp2JqeW79+vfq4Bw4cUG9va2sT586dKwIQ161bp96+f/9+EYC4cuVK9baSkhLRwcFBDA4OFvPy8jocc/Xq1SIA8e2331Zva2pqEm1tbUUvL68Ox3N2dhYfffRRURRF8cEHHxQ9PDzUzyuVStHFxUV0cHAQW1tb1dt37NghAhDnzZsnNjY2djjGrFmzRABifHy8evuKFStEAOLhw4fV23bv3i0CEF977bUOtfv6+opubm6d3sc1a9aIAMTQ0FD1tkWLFokAxDfffLPDvu1/39OnT+/02gMHDuz02qIoih999JEIQHzmmWc6/BupqakRY2NjRWtra7GgoEC9/b777hMBiGFhYWJxcbF6e2pqqmhhYSFGRkZ2eH1N70G7lpYWEYA4derUDtszMzM71NK+77Rp00QLCwsxJyenx9cgIiIVDsMjIupC+1CrN998s8PdmqlTp2q8s/TVV18BAF577TUoFAr1dm9vb/ztb39Da2srNm3a1Ou6br31VkyaNEn9tUwmw5tvvtmh5q5s2LABNTU1WL16NXx8fDo8t3z5cnh4eOC7775Tb2uft1RUVISUlBQAqvlIlZWV6homTpyIkpISJCcnAwDOnTuHiooK3HzzzbCwsFC/1scffwyZTIY1a9bA2tq6wzFee+01AMD333+v8/vRrr6+Xj1n6ZVXXsHMmTPx2GOPQSaTYfXq1QBUjR82b94MX19fLF++vMP3P/DAAxg2bBh2796N/Px8rY758ccfw93dHf/+9787/BtRKBR49dVX0dTUhG3btnX6vn/84x/w8PBQfz148GCMGzcOKSkpqK+vv5EfXy0wMLDT3UW5XI5HHnkEbW1tnYZMEhFR1zgMj4ioC0lJSXB1dUVkZGSn5yZMmIDdu3d32JaYmAig89Cz67e179MbEyZM6LQtMjISLi4uSEpK6vZ729t4HzlyBBcuXOj0vKWlJVJTUztsmzx5Mvbt24eDBw8iIiJCPR9p4sSJHR4PHDiAIUOGqJ//8/tw8uRJODk54cMPP+x03KamJgDodGxdNDQ04J///CcAwMLCAm5ubpgzZw5eeOEF3HzzzQCAixcvorm5GePHj1cPNWwnCAImTpyI8+fPIykpqVOY/LPq6mqkpKQgODhYPbfoekVFRV3+TCNGjOi0zdfXF6IooqqqCnZ2dtr90Bo0Njbigw8+wObNm3H58uVO89AKCgpu+LWJiMwNwxIRUReqqqowaNAgjc95eXl12lZdXQ0bGxs4Ojp2es7b21u9T29df0fizzVdvXq12+8tLy8HAHzwwQdaH+/6Jg+PP/44Dhw4gJCQEPj5+QEAgoOD4e/vr5631NV8pYqKCoiiqA40mujSpOLP3NzcUFpa2u0+7e+/pr8/QLe/p4qKCgBARkaGzj+Tk5NTp23tXQPb2tp6PHZ34uLisGvXLkRGRmLhwoXw8PCAXC5Heno6Nm7cqA6mRETUM4YlIqIuODk5obi4WONz7XcNrufo6Ii0tDRUV1d3Ckzt+1+/vX2olKYPx919WC8pKemyJk1B7c81AsCVK1e0Xmj1+vWWlEolDh8+jLi4uA77TJw4EX/88Yf6eUdHR8TExHTYx8HBAS4uLl12+OsP7T+/pr+/67f39D5ev8+kSZMMZmjb8ePHsWvXLsyaNQs///xzh+F4mzZtwsaNGyWsjojI+HDOEhFRF6KiolBeXt5pDSFANYztz6KjowEAhw4d6vRc+9C09n0AwNnZGQCQl5fXYV+lUtntcDpNx7548SIqKioQFRXV5fcBwOjRowEAJ06c6Ha/67XPWyosLMSWLVtQUVHRYc4U8L95S1u2bEFpaWmn+Urtx87OztZ6PlBfiIiIgJWVFY4fP46WlpZOz7f/3V3/PlpYWGgMtC4uLggNDcX58+d7Pc+oK+3vobZ3m9LS0gAAd9xxR6d5S0ePHtVvcUREZoBhiYioC4sWLQIArFixAkqlUr197969neYrAcBf//pXAMDKlSs7fHguLi7G6tWrIZfLsXDhQvX22NhYAKqmC9f7z3/+g/T09C7r2rVrlzp8AapwtWLFig41d+WBBx6AQqHASy+9hCtXrnR6vrKyEgkJCZ22tw+pa2/EoCksXf+8pnlbTz/9NERRxEMPPaTxzll6ejqysrK6rb+3bG1tcffddyM3Nxf/+c9/Ojz31Vdf4dy5c5g2bVqH+Uqurq4oKSnRGK6efvpplJeXY+nSpRqHt124cKHHoYHdcXV1BdA5UHelvb34n4PR0aNHsW7duhuug4jIXHEYHhFRF5YsWYKNGzdi27ZtGDVqFKZPn478/Hx8//33uOOOO/Drr7922H/y5Ml44okn8N///hdDhw7FnXfeiebmZmzevFkdmAYOHKje/84770RgYCDWrVuH3NxcDBs2DAkJCUhMTMSkSZM6BKLrzZw5E7feeisWLFgAHx8f/PHHH4iPj8fkyZOxZMmSbn8mT09PbNq0CQsWLMCQIUMwc+ZMDBo0CHV1dUhPT8fBgwdx//33d1rAtD38JCcnIyAgAEFBQR2eDw8Ph6enp7ojnqawNGfOHPztb3/D22+/jdDQUMyYMQN+fn4oLi5GSkoKTp48ic2bNyMwMLDbn6G33n77bRw+fBgvvPAC9u7di+joaFy6dAk//fQT3N3d8fHHH3fYf8qUKUhMTMScOXNw0003QS6XY/bs2RgyZAiWLl2KY8eOYf369di3bx+mTJkCLy8v5Ofn49y5c0hKSsLp06fh7u5+Q7W2v4+vvPIKkpOT4eDggKCgINxzzz0a9x8/fjxGjBiBr7/+Gvn5+YiNjUVaWhq2b9+OOXPm4Mcff7yhOoiIzJbErcuJiAxaTU2N+Nxzz4ne3t6ijY2NGB0dLf7www/qNY+uX2dJFFVrDK1du1aMiYkRbW1tRXt7e3HChAni1q1bNb7+lStXxDvuuEO0t7cXHRwcxNmzZ4uXL1/udp2l9evXi5s3bxajo6NFGxsb0dvbW3zuuefE2traDq+taZ2ldsnJyeL9998v+vn5iZaWlqKbm5s4YsQI8aWXXhJTUlI67d/U1CTa2dmJAMRFixZp/Fnmz58vAhCdnJw6rK/0Zzt27BBvu+020c3NTbS0tBR9fHzESZMmie+8845YWlqq3k8f6yx1paCgQHziiSfUP7+3t7d4//33a1zzqrKyUlyyZIno6ekpymQyEYC4ceNG9fNKpVLcsGGDOGnSJNHJyUm0trYWAwICxFtvvVX89NNPxbq6OvW+7essXb/WUU/PrV27VoyIiBCtrKw6rInU1RpJBQUF4uLFi0Vvb2/R1tZWjI2NFb/99luN7x3XWSIi6p4giqIoQUYjIiIiIiIyaJyzREREREREpAHDEhERERERkQYMS0RERERERBowLBEREREREWnAsERERERERKQBwxIREREREZEGDEtEREREREQaMCwRERERERFpwLBERERERESkAcMSERERERGRBgxLREREREREGjAsERERERERacCwREREREREpAHDEhERERERkQYMS0RERERERBowLBEREREREWnAsERERERERKQBwxIREREREZEGDEtEREREREQaMCwRERERERFpwLBERERERESkAcMSERERERGRBgxLREREREREGjAsERERERERacCwREREREREpAHDEhERERERkQYMS0RERERERBowLBEREREREWnAsERERERERKQBwxIREREREZEGDEtEREREREQaMCwRERERERFpwLBERERERESkAcMSERERERGRBgxLREREREREGjAsERERERERacCwREREREREpAHDEhERERERkQYMS0RERERERBowLBEREREREWnAsERERERERKQBwxIREREREZEGDEtEREREREQaMCwRERERERFpwLBERERERESkAcMSERERERGRBgxLREREREREGjAsERERERERacCwREREREREpAHDEhERERERkQYMS0RERERERBowLBEREREREWnAsERERERERKQBwxIREREREZEGDEtEREREREQaMCwRERERERFpwLBERERERESkAcMSERERERGRBgxLREREREREGjAsERERERERacCwREREREREpAHDEhERERERkQYMS0RERERERBowLBEREREREWkgl7oAY+Lu7o6goCCpy9Cb6sYWZJXVI9RDAVsrC6nLITJbNY2tyCyrQ4iHPeytTOvXcmZmJkpLS6Uuw6SZ2rmJiLRUlQM0VALew6SuxOjocm4yrbNyHwsKCsKZM2ekLkNvUgqqcfsHh7F6YQzuGD5A6nKIzNbGE1n4x7YL2P/KVHg72Uhdjl6NHDlS6hJMnqmdm4hIS1/PB+qKgccOSV2J0dHl3MRheGbM18UWAJBbUS9xJUTmLbe8HlZyGTwdrKUuhYiIjEVlNuAcIHUVJo9hyYw52ljCydYSuRUNUpdCZNZyKurh52wLmUyQuhQiIjIGongtLAVKXYnJY1gyc34utsjhnSUiSeWUN8DP1U7qMoiIyFjUlQCtDQxL/YBhycz5udgip5xhiUhKORX18L82LJaIiKhHldmqRw7D63MMS2Yu0M0eORUNUCpFqUshMks1jS2orG+BP+8sERGRtioyVY8uvLPU1xiWzFyAqx2aW5UorG6UuhQis9Q+Z9DfhWGJiIi01H5nyclf2jrMAMOSmQt0U31AyyrjUDwiKbQPg/V35TA8IiLSUmU2YOcGWCukrsTkMSyZuUBXewBAdnmdxJUQmacc3lkiIiJdVWaxuUM/YVgycz7ONpDLBN5ZIpJITnk97K0s4GxnKXUpRERkLLjGUr9hWDJzcgsZfF1skcWOeESSyC6vR6CbPQSBaywREZEWlEqgMofNHfoJwxIhwNUO2byzRCSJzLI6BLlzCB4REWmptghoa+KdpX7CsEQIdLNDVhnnLBH1tzaliJxrd5aIiIi0ol5jiXeW+gPDEiHIzR7Vja2orG+WuhQis5Jf2YCWNhFBbryzREREWmJY6lcMS4QAV7YPJ5JC+/+5AFfeWSIiIi1VZqoenbnGUn9gWCL1ECA2eSDqX5nXhr9yzhIREWmtMhuw9wQsuT5ff2BYIvWdpWzOWyLqV1lldbCWy+DlYCN1KUREZCwqs9kJrx8xLBFsrSzg6WDNYXhE/SyrrB6BbnaQydg2nIiItFSRyU54/YhhiQC0d8RjWCLqT6qwxPlKRESkpbaWa2ssBUtdidlgWCIAqgnmWeUchkfUX5RKEVnldeyER0RE2qvKAcQ2wJVhqb8wLBEA1Z2louomNLa0SV0KkVkormlCY4sSAbyzRERE2irPUD3yzlK/YVgiAKqwBADZ7IhH1C/UnfB4Z4mIiLRVcS0s8c5Sv2FYIgDXtQ/nvCWifpGlDku8s0RERFqqyATkNoDCW+pKzAbDEgEAAtUL03LeElF/yCyrh6WFgAFObBtORERaKs8AnAMBGT/C9xe+0wQAcLazhKONnHeWiPpJdlk9/F3sILfgr2EiItJSRSaH4PUznqUJACAIAoI9FEgvrZW6FCKzkFlWp54rSERE1CNRVN1ZYnOHfsWwRGoD3e2RUcJheER9TRRFrrFERES6qSsBWup4Z6mfMSyRWrC7PfKrGtHQzPbhRH2prK4ZtU2tvLNERETaY9twSTAskVqwh+oqd0Yp7y4R9aX2RioMS0REpDW2DZeESYelN998E4IgYOnSpeptoihi1apV8PHxga2tLSZPnozk5GQJqzQcIe4KAAxLRH0t7dpw1/b/c2ReeG4iohtSngFAAJwDpK7ErJhsWDpx4gQ+++wzDB8+vMP21atX45133sGHH36I06dPw9PTE9OnT0dNTY1ElRqOIHfVVe4MNnkg6lPpJXWwtBDg52IrdSnUz3huIqIbVpEBOPkBcmupKzErJhmWqqqqcN9992HdunVwcXFRbxdFEe+//z5efvllzJs3D0OHDsVXX32FmpoafPPNNxJWbBjsrOQY4GSDdDZ5IOpTaSW1CHKzZ9twM8NzExH1SnkG4BIkdRVmxyTP1I8++ijmz5+PW265pcP2jIwMFBYWYsaMGepttra2mDhxIo4dO9bfZRqkEA97pHMYHlGfSi+pRYgHO+GZG56biKhXKjIZliQgl7oAffvss89w9epVbNy4sdNzhYWFAAAvL68O2728vJCXl6fx9dauXYu1a9cCAEpKSvRcreEJdrfH9sR8iKIIQRCkLofI5LS2KZFdXo8ZQ7ylLoX6Ec9NRNQrTbVAXTGbO0jApO4sXbp0CX//+9+xadMmWFlZdbnfn0NAd8Hg0UcfxZkzZ3DmzBl4eHjotV5DFOyuQHVjK8rrmqUuhcgk5VQ0oKVNRIg77yyZC56biKjXKjJVj2wb3u9MKiwdP34cpaWlGDp0KORyOeRyOQ4ePIhPPvkEcrkcbm5uAP53Fa9dcXFxpyt65iqE7cOJ+lRasaqBykBPdsIzFzw3EVGvsW24ZEwqLMXFxeH8+fNITExU/xk5ciTuueceJCYmIiwsDN7e3ti9e7f6exobG3H48GGMHz9ewsoNR/vVbs5bIuob6de6TQ5k23CzwXMTEfUaF6SVjEnNWXJ2doazs3OHbfb29nB1dcXQoUMBAM8++yzeeOMNhIeHIywsDK+//joUCgUWLlwoRckGx9fZFpYWAjviEfWR9JI6uNlbwcnOUupSqJ/w3EREvVaeBti6ArbOPe9LemVSYUkbL774IhoaGvDUU0+hoqICY8aMwR9//AEHBwepSzMIcgsZAt3sudYSUR9JYyc80oDnJiLqVlka4BYqdRVmyeTD0oEDBzp8LQgCVq1ahVWrVklSjzEIdrfnnCWiPpJeUofpkZyHYu54biIinZSlASGTpK7CLJnUnCXSjxB3e2SW1aNNKUpdCpFJqapvQVldM+8sERGR9prrgJp8wG2g1JWYJYYl6iTEwx7NrUrkVTRIXQqRSUm7Nrw1hM0diIhIW+XpqkdXhiUpMCxRJwM9VB/k0ko4b4lIn9rbhvPOEhERaa3squqRc5YkwbBEnYReW//lSnGNxJUQmZb00jpYWgjwd7WTuhQiIjIWZWmqR9cQaeswUwxL1ImznRU8HKxxpYh3loj0Kb2kFgGudrC04K9eIiLSUlka4DAAsOYQbinwjE0aDfJU4EoxwxKRPqWX1CHEgyc7IiLSQTnbhkuJYYk0GuSpwNXiWogiO+IR6UNLmxKZZXXqOYFERERaKbvKIXgSYlgijUK9HFDb1IrC6kapSyEyCVlldWhpExHmxbBERERaaqgA6st4Z0lCDEuk0aD2Jg+ct0SkF5ev/V8K83KQuBIiIjIaZdfahnONJckwLJFG6rDEeUtEenG5qAaCAA7DIyIi7bFtuOQYlkgjN4U1XO2tcJXtw4n04kpRLfxd7GBrZSF1KUREZCzK0wBBBrgESV2J2WJYoi6FeirUQ4eIqHcuF9VwvhIREemm7Crg5A/IraWuxGwxLFGXBnkqcKWohh3xiHqppU2JjNI6DOJ8JSIi0kXZVQ7BkxjDEnVpkKcC1Y2tKKlpkroUIqOWWVqHViU74RERkQ5EUdXggc0dJMWwRF1qvwrOJg9EvdM+nHWQJ+8sERGRlmqLgeYa3lmSGMMSdel/7cPZ5IGoN9gJj4iIdFZ2RfXIO0uSYliiLnk4WMPRRs47S0S9dKW4BgGu7IRHREQ6KLmkenQfLG0dZo5hibokCAIGeTkwLBH10uWiWg7BIyIi3ZReASztAEdfqSsxawxL1K0wLwUuFbIjHtGNam5VIrO0js0diIhIN6WXAPdBgIwf16XEd5+6Fe7tiKqGFhRWN0pdCpFRyixTdcIbxLBERES6KL3CIXgGgGGJuhUxwBEAkFrAJg9ENyK1UPV/J4xrLBERkbaaaoGqHMA9TOpKzB7DEnVrsLfqA15KYbXElRAZp9SCashlAkI9eWeJiIi0VHZV9ejBsCQ1hiXqlpOtJXydbXlniegGpRRUY6CHAtZydsIjIiItlV5WPXIYnuQYlqhHEQMckFLAO0tENyKloAYRAzgEj4iIdFByCRAsANcQqSsxewxL1KNwb0ekl9ahsaVN6lKIjEpFXTMKqxvVc/+IiIi0UnoZcA0G5FZSV2L2GJaoRxEDHNGmFHGV6y0R6aR9rl84wxIREemi9DKH4BkIhiXqUfi1IUQcikekm/a5fhyGR0REWmtrBcrS2NzBQDAsUY+C3OxhYylTt0AmIu2kFFTDXWEFTwcbqUshIiJjUZEJKFvYNtxAMCxRjyxkAgZ7OSCV7cOJdJJaWINwbw7BIyIiHZReUj1yGJ5BYFgirYR7OyKloAaiKEpdCpFRaG1T4lIRO+EREZGO1G3DB0lbBwFgWCIthQ9wQHldM0pqmqQuhcgoZJbVoblVyU54RESkm5LLgMMAwIbnD0PAsERaaf/Al8J5S0RauXituQOH4RERkU5KL3O+kgFhWCKtRFz7wMeOeETaSSmohlwmINRTIXUpRERkLEQRKEkFPDhfyVAwLJFWnOws4etsi+R8hiUibSTnV2OQlwOs5Pw1S0REWqrKAZprAc9IqSuha3gWJ60N9XXEhbwqqcsgMniiKOJCXhWG+XIIHhER6aA4RfXIsGQwGJZIa8N8nZBRWofqxhapSyEyaPlVjSiva8YwXyepSyEiImNSfFH16BkubR2kxrBEWht67YNfch6H4hF153yu6g7sUIYlIiLSRXEK4OgH2PD8YSgYlkhr7VfJORSPqHsX8qpgIRPYNpyIiHRTdBHwjJC6CroOwxJpzU1hDR8nG5xnWCLq1vm8KgzyVMDG0kLqUoiIyFi0tQKllxiWDAzDEulkqK8T7ywRdeN/zR04hIKIiHRQng60NbO5g4FhWCKdDPV1QnppHWrY5IFIo4KqRpTVNXO+EhER6aa9uYMXw5IhYVginbRfLed6S0SatQ9TZVgiIiKdFKcAggxwD5O6EroOwxLpZCibPBB160JeFWQCEMnmDkREpIvii4BrCGBpK3UldB2GJdKJh4M1vB3Z5IGoK6rmDg6wtWJzByIi0kFxCps7GCCGJdLZUF8n9ToyRPQ/7c0dOASPiIh00tIIlKexuYMBYlginUX7q5o8VNWzyQPR9XIrGlBa24xof4YlIiLSQellQFTyzpIBYlginY0IcAEAJOVWSlwJkVxnJfIAACAASURBVGFJyFH9n2j/P0JERKSV4hTVI+8sGRyGJdLZcD8nCAKQkM2wRHS9xOxK2FjKMNjbQepSiIjImBQnAxZWqgYPZFAYlkhnDjaWCPN0QEJOhdSlEBmUhJwKDPd1hqUFf7USEZEOCs8DHuGAhaXUldCf8IxONyTa3xmJOZUQRVHqUogMQlNrG5LzqhEd4Cx1KUREZExEESg4B3gPl7oS0oBhiW7IiABnVNa3ILOsXupSiAzCxfxqNLcpMcKfYYmIiHRQWwTUlwLew6SuhDRgWKIb0j6BPSGbQ/GIgP/N4WNzByIi0knhedUjw5JBYliiGxLqqYDCWs4mD0TXJORUYoCTDbydbKQuhYiIjEnhOdWj91Bp6yCNGJbohljIBET5O7HJA9E1iTkVGMH5SkREpKvC84BzIGDDNfoMEcMS3bBof2ekFtSgoblN6lKIJFVS04Sc8gZEc74SERHpqvA8h+AZMIYlumEj/F3QqhRxjovTkpmLvzZ3j/OViIhIJ021QFkaMCBK6kqoCyYVlv71r39h1KhRcHR0hIeHB2bPno0LFy502EcURaxatQo+Pj6wtbXF5MmTkZycLFHFxi02UPXB8HRmucSVEEnrdEY5rOQyDPPlEArqjOcmIupS8UUAIu8sGTCTCksHDhzAk08+iWPHjmHfvn2Qy+WYNm0aysv/92F+9erVeOedd/Dhhx/i9OnT8PT0xPTp01FTUyNh5cbJxd4Kg70ccCqT85bIvJ3OLEe0nzNsLC2kLoUMEM9NRNQldXMHhiVDJZe6AH3atWtXh683btwIJycnHD16FLNnz4Yoinj//ffx8ssvY968eQCAr776Cp6envjmm2/w2GOPSVG2URsV7IKf4vPQ2qaE3MKksjeRVuqaWnEhvxpPTBoodSlkoHhuIqIuFZ4HbF0AR1+pK6EumPSn25qaGiiVSri4qIaLZWRkoLCwEDNmzFDvY2tri4kTJ+LYsWNSlWnURge7oa65DSkFvPpJ5ik+uwJtShGjgl2lLoWMBM9NRKTW3txBEKSuhLpg0mFp2bJliI6Oxrhx4wAAhYWFAAAvL68O+3l5eamf+7O1a9di5MiRGDlyJEpKSvq2YCM0Okj1AfFkRpnElRBJ43RGOWQCEMO24aQlnpuICADQ1goUJQPew6WuhLphsmHp+eefx5EjR7B161ZYWHScRyD8Kb2LothpW7tHH30UZ86cwZkzZ+Dh4dFn9Rorbycb+LvasskDma2TGeUY4uMEBxtLqUshI8BzExGplacBrY2AFxejNWQmGZaee+45fPvtt9i3bx9CQkLU2729vQGg05W64uLiTlf0SHujg9xwOrMCoihKXQpRv2pqbUNiTiVGBXEIHvWM5yYi6iA/QfXoEy1tHdQtkwtLy5YtwzfffIN9+/YhPDy8w3PBwcHw9vbG7t271dsaGxtx+PBhjB8/vr9LNRmjg11QXteMtJJaqUsh6lcX8qrQ1KrEaM5Xoh7w3EREneTFA5b2gHuY1JVQN0yqG95TTz2FjRs3Ytu2bXBxcVFfpVMoFFAoFBAEAc8++yzeeOMNhIeHIywsDK+//joUCgUWLlwocfXGq/2q+qmMCoR6OkhcDVH/OZmhGn46KoiL0VLXeG4iIo3yE1SL0cq47IQhM6mw9MknnwAApk6d2mH7ypUrsWrVKgDAiy++iIaGBjz11FOoqKjAmDFj8Mcff8DBgR/yb1Swuz08HKxxPL0MC8cESF0OUb85kV6OUE8F3BTWUpdCBoznJiLqpK1FtcbSqIelroR6YFJhSZs5M4IgYNWqVeoTFPWeIAi4aaAbDl8phVIpQiZj+0syfU2tbTidUY4Fo/ylLoUMHM9NRNRJSaqquYPPCKkroR6Y3JwlksZNoe4oq2vGpSKut0TmISG7Eg0tbbgp1F3qUoiIyNjkxaseGZYMHsMS6UX7B8ajV0slroSofxy9WgoLmYAxIWzuQEREOsqPB2ycANeQnvclSTEskV74ONsixMMeRxiWyEwcuVqK4X5OcOT6SkREpKv8BNVdpS7WUiPDwbBEejMh1B2nMsrR3KqUuhSiPlXd2IJzuVWYwCF4RESkq5ZGoCiZQ/CMBMMS6c34ge6ob1Yt0klkyk6ml6NNKXK+EhER6a7oAqBsBXxipK6EtMCwRHozLsQNMgEcikcm7+jVUthYyjAiwFnqUoiIyNjkJ6geeWfJKJhU63CSlpOdJYb5OePo1VI8P52rUZPpOnK1FKOD3WAt50KCUjp06FCfvK6VlRXGjh3bJ69NRIS8eMDeA3Dyk7oS0gLDEunVxEHu+ORAGqrqW+Bkx4nvZHryKhtwtbgWC0ZyfSWpTZ48GUIfTI729vZGXl6e3l+XiAiAqhMemzsYDYYl0qvJgz3x4b6rOHilBHOifKQuh0jv9qUWAwCmhHtKXAkBgEwmg5+f/q7OZmVlabWILBHRDWmsAkouAUPukroS0hLDEulVtL8zXO2tsC+liGGJTNK+lCIEutlhoIe91KUQAA8PD2RkZOjt9WQyTuUloj6UewaACPiPlroS0hLPCqRXFjIBk8M8cPByCdqUvDpLpqWhuQ3H0sowZbBnnwz/IiIiE5dzCoAA+MZKXQlpiXeWSO+mhHvix4Q8JOZUIDbQVepyiPTmeHopmlqVuIVD8AzCnDlz4ObmpvfXdHXl7y0i6iO5pwCvIYCNo9SVkJYYlkjvJoZ5wEImYG9KMcMSmZS9KcWws7LAmBD+uzYE27Ztg0wmw4kTJ5CcnKy31yQi6hNKpWoY3tB5UldCOuAwPNI7J1tLjAx0UU+EJzIFoihif2oxJoS6s2W4gamoqJC6BCKinpWkAk3VnK9kZBiWqE/cEu6J1MIa5Fc2SF0KkV5cKqpBflUjh+AREdGNyT2levQfI20dpBOGJeoT0yK9AAB/JBdKXAmRfuy6UARBAMMSERHdmJxTgJ0b4BoidSWkA4Yl6hMDPRQI81LgtwsMS2Qadl4owKhAV3g62khdChERGaOcU4DfaC5Ga2QYlqjP3D50AE5nlqO4plHqUoh6Ja2kFqmFNbh9mLfUpRARkTGqLwfKrgD+o6SuhHTEsER9ZuawARBFYFdykdSlEPXK79fukN42lGHJEFVXV+Ott97Czp07kZ+fL3U5RESd5ZxUPXK+ktFh63DqM2FeCoR42OP3CwVYPDZQ6nKIbthv5wsQE+CMAU62UpdCGjQ0NGDFihXqr93c3BAdHY3o6GhERUUhOjoaERERkMl4fZCIJJJ5BLCwBnxHSl0J6YhhifqMIAiYOXQA/nswDWW1TXBTWEtdEpHOssrqkJxfjVfviJC6FOqCpaUl3N3d1XeVSktLsWfPHuzdu1e9j7W1NSIjI9UhKjo6GsOHD4ejIxeGJKJ+kHUU8BsJWHLeq7HpNiwdOnSoTw5qZWWFsWPH9slrk2G5fZg3Ptp/FX9cLMK9owOkLodIZzs5BM/gubq6Ijc3F2VlZUhMTFT/SUpKQmpqKlpbW9HY2Ij4+HgkJCR0+N6goCCMGDECP/zwg0TVE5HJa6wGCpKAm5dLXQndgG7D0uTJkyH0QccOb29v5OXl6f11yfBEDnBEkJsdtifmMyyRUdqemI8of2f4udhJXQr1wM3NDVOnTsXUqVPV25qbm3HhwgUkJSWpQ9S5c+dQVVUFAMjIyEBmZqZEFRORWcg5CYhKIPAmqSuhG9DjMDyZTAY/Pz+9HTArKwuiKOrt9ciwCYKAO0f44b09l5FbUc8PnGRUUgurcbGgGqtmR0pdCt0gKysrxMTEICYmpsP2zMzMDnegiIj6TNZRQCYH/EdLXQndgB7DkoeHBzIyMvR2QE6wNT93jvDFe3su4+fEfDw1JVTqcoi09lN8HuQyAbOjfKQuhfQsKCgIQUFBiIuLk7oUIjJ1mUcBnxjAyl7qSugGMLlQnwtws8PoIFdsjc/lXUUyGm1KEdsS8zB5sAebkxAR0Y1prgPy44EgDsEzVt2GpTlz5uC2227T6wH74jXJ8M2L9UV6SR2ScqukLoVIK8fTylBU3YQ7R+hvGDLp39y5c/U6VJyISK9yTgHKVs5XMmLdDsPbtm0bcnNz9XrAbdu26fX1yDjcPmwA/s/Pydh6NhfR/s5Sl0PUo63xuXCwkWNqhKfUpVA3fvrppw5fJyUlISoqSqJqiIj+JOsoIMi4GK0R63EYXkBAAIYMGdIftZAJc7SxxIwh3tielI/GljapyyHqVkVdM349X4C4aF/YWFpIXQ7pIC4uDuXl5VKXQUSkkn5ANV/Jhmu6GSut5ixVVFT0dR1kBu4d5Y+qhhbsOFcgdSlE3doan4vmViUWjmG7e2OTlZWF+fPno61N+4syOTk5fVgREZmtxiog7ywwcIrUlVAvsMED9ZtxA90Q4mGPr09kSV0KUZdEUcQ3p7IRE+CMiAG8Emhs5s6di4MHD+KZZ57Rav+jR49i1KhRfVwVEZmljMOq9ZVCGJaMGcMS9RtBELBoTCAScypxIY+NHsgwnUgvR3pJHe4bEyh1KXQDNm7ciLCwMHz66af4/PPPu913/fr1mDZtGkpKSvqpOiIyK+n7AUt7wI8XZIwZwxL1q3mxfrCxlPHuEhmsr09kwcnWEncMHyB1KXQDFAoFtm3bBoVCgaVLl+L48eOd9hFFEc8//zwefvhhNDU1aX0XiohIJ2n7VS3D5VZSV0K9wLBE/crJ1hJx0b7YlpiH8rpmqcsh6iCnvB47LxTgntH+bOxgxAYPHowNGzagpaUF8+bNQ35+vvq56upq3H777fjggw9gaWmJdevW4b333pOwWiI9qy5QDf+6uB1I+QXIOKTaxnUO+1dlNlCexiF4JqDb1uHtqqur8dZbbyEqKgpRUVHw8eFq9nTjHpwQjO9O52Dj8SwsmzZI6nKI1L44mgGZIOCB8cFSl0K9NHfuXLz66qt47bXXEBcXh8OHDyMrKwtz587FpUuX4OXlhR9//BHjxo2TulSi3ss7CyR9B6T+ClTnad7H3hMYNAOImAWETgcstPoISDcq/YDqkc0djJ5W/1MaGhqwYsUK9ddubm6Ijo5GdHQ0oqKiEB0djYiICMhkvFFFPQvzcsDUcE98dTwTj04Mga0Vr+CT9KrqW/D96RzMifKBt5ON1OWQFt577z31ucjFxaXT8//85z9x9uxZ7Ny5E7NmzcLZs2dRWVmJ2NhYbNu2Db6+vhJUTaRH+QnAnn+q5sbIbYBB04HxTwMe4YCdm2qfhnKg9AqQfRxI/QVI/Bpw8gdGPwKMegSwspP2ZzBVafsBhbfq74KMmlZhydLSEu7u7uqhDKWlpdizZw/27t2r3sfa2hqRkZHqE1d0dDSGDx8OR0d2k6LOHp0YggVrT+CH+FwsHsuJ9CS9TaeyUN/chodvDpG6FNLS8uXLIQgCAMDf3x8jRoxAdHS0+jEgIADffPMNRo0ahX379kEURdx7771Yt24dbGwYiMmItTQC+18Hjn8M2LoC018DYpd0vZZPyGRVOGprBS7/DpxaA+z+P8DxT4BbVgDRiwBe8NYfZZvqztKgGcC131FkvLQKS66ursjNzUVZWRkSExPVf5KSkpCamorW1lY0NjYiPj4eCQkJHb43KCgII0aMwA8//NAnPwAZp9HBroj2d8Znh9Jxzyh/WFrwlzRJp765FesOZ+DmQe6I9OEFHmMxc+ZMJCUlIS8vD9nZ2cjOzsb27dvVzzs7OyM6OhohISG4cuUKFi1ahC+++AJyOYcfkRGrzge+XwzknVEFpOn/F7Bx0u57LeSqYXgRs4Cs48CelcD2p4Fzm4E5/wFcebFIL3LPqO7ohc2QuhLSA53OGG5ubpg6dSqmTp2q3tbc3IwLFy4gKSlJHaLOnTuHqipVa+iMjAxkZmbqtWgyfoIgYOmUUDy84Qx+jM/FglFc/JOks+F4FsrqmvHstDCpSyEd7NixAwBQXl6OhISEDueh1NRUVFRUYP/+/eq7T5s2bcLmzZsRHh6unoMbFRWF4cOHw8PDQ8ofhUg7JZeADXOBphpgwSZV6LlRgeOAB3cBCRuBXSuAT8YDM98GYhbrr15zdfl3QLAABk7teV8yeL2+vGZlZYWYmBjExMR02J6ZmdnhDhTRn02N8ESUvzP+s/cq4kb4wlrOuUvU/2qbWrHmYBomhXkgNrDzvBcyfK6urjpdyDt37hzOnTuHr7/+GoDq4k1ra6tU5RNpp+gi8NVsQJABD/0BeA3p/WsKAhDzV9WH+m1PANuXAjkngJn/Bixte//65uryLiBwPGDrLHUlpAd9NhYhKCgIQUFBiIuL66tDkJETBAEvzAjD4nWn8N2pHNw/PkjqksgMfXUsExX1LXhuOu8qmZKuLuRlZGR0CFAJCQnIycmRqEoiLVXlAl/fBVhYAvf/ArjruZOsky+w+CfgwL+AQ28DRcnAws2AwlO/xzEHldlAcTIw43WpKyE94cBtktSEUHeMDnbFh/uuYl6sHxTW/CdJ/aekpgn/PZCGaRGeiPbnFUBzEBwcjODg4A4X8tqHjRMZpMYq4Ov5QHMd8ODv+g9K7WQWwC2vAj4xwNaHgM+nAYu29t3xTNXlXarHsNukrYP0psdZ9XPnzoWfn19/1EJmSBAEvHJ7OEprm/DRvqtSl2MUmluVyK2ox6XCGiTlVOJURjlOpJchKacSV4pqkFfZgOZWpdRlGoV3d19CY0sbXpkZIXUpJCEnJy0nxxP1N1FUNWAovQws2KifoXc9CZ8JLNkBtNSrAlPO6b4/pim5vEvVKMMtVOpKSE96vIz/008/9UcdZMZGBLhgXowfvjiSgQWj/BHsbi91SQahuKYR53OrkFpYg8tFNbhaXIvCqkaU1TVr9f3uCmv4ONsgxN0e4QMcEe7tgKG+TnBXWPdx5cYhOb8K353OwYM3BWOgh0LqcoiIOjv9OXDxZ2DaKlX77/7iGws8tBvYeKfqz6IfgICx/Xd8Y9VcB2QcAkY9xJbhJoRjnsggvHTbYOxKLsRrOy5i3f0j1d2rzElZbRMOXCrBifQynM4sR2ZZvfo5X2dbDPJSIMrfGV4ONvBytIajrSWs5TJYyy0gCEBjSxsaWtpQ29iKwupGFFY1Iq+yAacyyrEtMV/9WiEe9hgT7IaxIa6YFOYBZzsrKX5cSSmVIlZtT4azrSWeuYVDTIjIABUlA7v+DoROB8Yv6//juwYDD/ymaiqx8S7gvs1A0IT+r8OYpO0D2pqAsFulroT0SG9h6dChQzh79iwiIiJw220cp0m68XS0wbKpg/DGbyn45VwB5kT5SF1Sv8gsrcPOC4XYm1KEs9kVEEXA2c4SIwNdcd+YQIwIcEaYtwMcbSx7dZzK+makFtYgMacSJ9PLsCMpH9+eyoaFTMCoIBdMj/TGjEgv+Luax0ruX5/MwunMCrw9fzic7Hr33pJ0ZDIZBgwYgLy8PIN+TSKdKduAn5cC1o7AnZ9Kt2Csow+w5DdgwxzVvKn7tgDBN0tTizG4+LNqkeBAhkpTopew9MUXX+CRRx6BKIoQBAF33XUXtmzZgt9//x3vvvsucnJy4O3tjbvvvhuPPfYYLCzYIpo6e3BCMH49X4CVP1/AuBA3eDiY5nCxyvpm/HKuAD/G5yIhuxIAMMTHEc/cMgjTIrwwxMcRMpl+76w521lhbIgbxoa44fFJA9GmFHEutxJ7Uoqw+2IRXttxEa/tuIjRQa64K8YXM4cP6HVAM1S5FfX4fztTMTHMA/NjOR/T2ImiaBSvSaSTk2uA/Hhg3jrA3l3aWhy8gPt3AF/NAr69R9WNzzem5+8zNy2NwKXfgaF3qhb/JZMhiHo4K0RFRaG6uhoffPABCgoK8Morr2DZsmV4/fXXIZfL4eXlhYKCArS2tuK2227Djh07jHKY1ciRI3HmzBmpyzBpV4trMPM/RzA5zANrFsca5b8TTURRxJmsCqw/moHdF4vQ0iYizEuBu2L8MDvKB77O0q5nkVVWhx3nCrA1PhfpJXWwlstw6xBvLB4XiJGBLibz99CmFLF43Ukk5lTij+cmws/FPO6kSakvf2/KZDJ4eHjgzJkzegs4QUFB8Pb2Rn5+fs87Gwiem0xMZTbw8RjVkLeFmw1n7kt1PvDFrUBTLfDATsAzXOqKDEvqb8B396o6CIZOk7oa6oEuvzf1En3T09OxcuVKzJkzR/Wicjkee+wxTJw4ET///DMcHBzQ0tKCd955B3//+9+xZs0aPP744/o4NJmYUE8HvDAjDG/+looNx7OMfu2l1jYlfrtQiHWH05GUWwVnO0ssHhuEu2J8McTH0WBCSKCbPZ6aEoonJw/EudwqbI3PxbaEPGxPyke4twPuHx+EudE+sLMy7qtlH+27imNpZVg9bziDkokoLS1FUFCQ3l7PUP5Pkhnb809AVAJ3vGM4QQlQDclbvA1Yf7uq6cODvwMugVJXZTgu/gzYOAPBk6SuhPRML5986urqMGDAAPXXU6ZMgVKpxOOPPw4HBwcAgKWlJV5++WWcOXMGGzZsYFiiLj08IQQn08vx+q8XMczPCTEBLlKXpLPqxhZ8fyoHXx7LRF5lA0Lc7fF63FDMi/GDrZXhDkMVBAFR/s6I8nfGy7eH4+fEfGw4noVXfjyPN39Lwb2jA/DATUEY4GR8K7sfu1qK9/dexl0jfHH3SA6/MxUcMkcmJfcscOEH4OYXAOcAqavpzG2gavHa9TNVi+Q+tBuwc5W6Kum1NgGXfgMi5qgWDiaTorcZg9dfjWtfs8LdvfM428mTJyM5OVlfhyUTJJMJePcv0fBytMFTm+JRWNUodUlayymvx2s7LmL8v/bhjd9S4O9qi8//OhJ7np+ERWMDDToo/ZmdlRz3jg7Ab89MwJbHx2FSmAfWHcnAzf9vP5ZvTsKlwhqpS9RaekktnvwmHiHu9ngtbijvHpgIpVLZJ3+MaQgemRBRBP5YAdh7ABOelbqarnkNAe79DqjMAb67TzVXx9ylHwCaqoEhcT3uSsZHb2NqioqKoFQqIeuhY4uLiwtqa2v1dVgyUU52llizOBYL1pzAkvWn8P1j4+Bka7hXaxKyK/D54QzsvFAAmSBg1vABeGhCCIb5Gf9il4IgYFSQK0YFuSKnvB7rjmTg+9M52Bqfi8mDPfDYxIEYG+JqsAGkrLYJS9afhoUg4Islo2BvbdxDCYnIRF3aCWQfB2a9B1g7SF1N9wLHAXf+F/jhQeDnJ4G7PpeuY58huPAjYOPEIXgmSm+fGl544QW8+uqrGD58OCIjIyEIArKystDY2AgbGxt9HYbMyBAfJ3y6KBYPfHkKj2w4g/UG9kG3TSli98VCfHY4A2ezKuBgI8cjE0OwZLxxDlPThr+rHVbNGYJlUwfh6xNZ+PJYJu797ASG+znh0YkhuG2IN+QWhnPCrKhrxv3rT6GouhHfPjoWgW5c8JiIDJAoAgf/H+ASBIxYLHU12hk6T9WMYs8qwDkQmLZS6oqk0VQLpPwCDJsPyM1v3UJzoJdPnvv370dSUpL6zzfffANRFPHwww/jkUceQUBAACIiIhAREYGysjJ9HJLMxIRB7nj3L9FY9l0CFq87ifUPjJb8DlNdUys2n8nBF0czkFPeAH9XW6ycHYm/jPQ3qDDXl1zsrfD01EF4ZGIItsbn4vPDGVj6TQL8XGzxwE3BWDDKHwqJ34vS2iYs+vwk0kvrsGZRrFHOfSMiM3FlN1CQCMz50LjmvNz0LFCRBRx5V9XsIXaJ1BX1v9QdQEsdEHWv1JVQH9FL6/A/a2trw6VLlzoEqKSkJBQWFqoOKghoa2vT92H7HNuzSuf3CwV4+tsEDPRQ4LO/jpRk8dSc8npsOJ6J707noKaxFbGBLnjk5mBMj/SGhZ7XRTI2bUoRe1KKsO5wBk5llsPBWo57xwTg/vFBkrRFv1xUg0c3nEFhdSM+++tI3DzIo99rIBX+3ux7fI+NnCgCn08DaouAp+ON7+5EW6tq/aW0fapFa0OnSl1R/9owFyjPAJYlGVb3QupWn7YOT0pKQlRUVLf7WFhYIDIyEpGRkbj33v8l7ZKSEnVwItLFbUMH4Islcjy1KR6zPjyC9xdEY0q4Z58fVxRFnMwoV6+PJAgCbh/qjQcnBPNOxXUsZAJuHeKNW4d4IzGnEuuOZKj/3DFsAB6aEIzhfk79Mq/p13MFePGHJNhaybHp4TGIDWSnJiIyYBkHgbwzwB3vGl9QAlQLsN69HvjiNmDLElWHPHNZg6kqD0g/CEx6kUHJhOl8Zyk4OBhnz56Fq6v5fQDh1TvpZZfV47GvzyKloBp3x/rh7zMj4GKv/5NLWW0TfkrIww9nc5FaWANnO0vcOzoAi8cGwkfiBWSNRW5FPb46lonvTuWgpqkVEQMcsWCkH+JG+MLZTv9/Z6W1TVi5PRm/nitAlL8zPl0UY7Jzx4wJf2/2Pb7HRm7TX4D8eODZC4ClEc/xrswBPp8KyK2Bh/cBCjO4o3/kPdWcrafjVW3VyWjo8ntT55nYWVlZmD9/vk7D6HJycnQ9TJ/75JNPEBwcDBsbG8TGxuLw4cNSl0RaCHCzw09PjseTkwfip4Q8THnnAD7adwU1jS29fu2axhb8kpSPRzecwZg39+L1X1NgbWmBf901DMdfnoqXbgtnUNKBn4sdVtwRiWOv3ILX4oZCLhOw6peLGP3mXiz9Jh6/nitAXVNrr49TVd+Cd/64hEmr92N3chH+dutg/PD4OAYlM9Xc3Cx1Cb3Cc5OZKUsDruwCRj5k3EEJAJz9gXu/BWpLgO/uBVoapK6obymVQPwGIGAcg5KJ03kY3ty5c7F9+3Y888wz+Pjjj3vc/+jRo5g3b556vpIh+P7777Fs2TJ88sknmDBhAj755BPcfvvtuHjxIgICDHAROOrAxtICL94WjtlRPnh71yX8+4/L+PRgOmYO88acKF+MDHKBjWXP6xm1timRnF+NUxnlOHK1FMfSStHSJsJdYY0HnHB3rQAAIABJREFUbgrC3SP9EeZl4O1bjYCDjSUWjw3E4rGBSM6vwubTOfjlXAF2nCuAlVyGm0PdcVOoO0YFuSJigINW3fTqm1txMqMc2xPz8dv5AjS1KnHH8AF4fnoYBnoo+uGnIkNlb2+PwYMHY+fOnfD395e6HJ3w3GSGTn4KWFgBIx+UuhL98I0F7loLbF4MbHsSmLfOdFuKZxwEytOBya9IXQn1MZ2H4dXW1mLUqFG4fPky1qxZg4cffrjLfdevX48nn3wSzc3NBtXQYcyYMRg+fDg+++wz9bZBgwZh/vz5+Ne//tXl93Gog2E6n1uFDccz8dv5AtQ1t8HKQoahvo4I8VDAx9kW9lYWsJLLUN/churGFuRXNiKtuBbppbVobFECAILd7TEtwhMzhngjJsDF7Bs29LXWNiXOZFVgV3Ihdl8sQm6F6gqknZUFBnooEORuDz8XWyis5bC3skBTqxK1Ta3Iq2xAWnEtLhZUo6VNhIONHHOjfXDfmEBEDHCU+KciTfr796adnR0sLCxQU2M8iya347nJzDRUAu9GApFzVWsWmZIj7wN7VgITXwRuWSF1NX3j+8VA5hHg+RTjvytohvq0wYNCocC2bdswevRoLF26FEOGDMG4ceM67COKIpYvX44PPvgAoihi2bJluh6mzzQ3N+Ps2bN44YUXOmyfMWMGjh071mn/tWvXYu3atQBUDSrI8Azzc8Lbd0fh/84dimNppTiZUY7EnEocvlKCouqmDvtaWcjg5WSNgR4KjBvohmh/Z/z/9u49rMo63/v4ZwGCCAkiIIniIVScVMhDpmbbScdM8TA1WjqRe9rloaZ0d3rUbDc2dWlWe655xjG1Z8oZtTF3zWhknipNTcnBE7o9gWmQiiKCHCxJuJ8/VqLkEgUX/Na61/t1XVyrFgv43Jl8+XD/7t99e5sINWvMN7r6FODvpzvaNtUdbZvqpaG36njhd0r/pkA7vinQ4bwS7cop0Cd7Tqi84tLvchwOKfqmIMVHh+qRPm3UJz5St7eJuK6ziPAdbdu21dGjR03HqDFmkw/KeN+55XTP8aaTuF+fSVJ+lrRxttQ0Xkp8wHQi9yo6IR1YKfV6nKLkA2p1I5QOHTrob3/7m+677z7df//9Sk9PV/PmzSVJRUVFGjVqlNatW6cGDRrorbfe0m9+8xu3hr4Rp0+fVnl5uZo1a1bl+WbNmunTTz+94vXjxo3TuHHjJDlbKDxXcKC/+ndspv4dL/3ZlldY+v6Hcp2/UKFGgf78YO2hmocHa1h4sIYlNq98zrIsnb9QoXNl5QoK8FOjQP962U0P3m3UqFGaMWOGNm7cqLvuust0nOvGbPIxluW83uXmJKl5kuk07udwOHf3KzgqffRb5/VMrXqbTuU+OxdJVrnUzXN+vkXdqfVC0uHDh2v69OnKzc3ViBEjdP78eR06dEg9e/bU2rVrFR0drfXr13tUUbrcT3/osiyLH8RsyN/PoZCgAEWEBFKUvIzD4VDDBv6KCAlUSFAAfz9xXZ555hnFxcXpySefVElJiek4NcZs8hHHd0on90pdU0wnqTsBgdIDi6TwVtLSXzs3s7CDC+elbW9Lt/RnYwcfUW1Z+sMf/qD169eroKDA5ftnzJihwYMHa/v27UpOTtYdd9yhgwcPqlu3bkpPT79ieZ4niIyMlL+//xUbTpw6deqK3+gBALzLnDlz9NRTT+nrr79W9+7dXS5h80TMJh+zc5EUECx1+pXpJHUruIk05n3nP783SvrO9c+TXiVjmVR6Sur9pOkkqCfVlqVnnnlGAwYMUGRkpFq3bq1f/vKXmjFjhj766CNlZ2dLkt577z3Fx8fr888/V2FhoUaPHq1NmzYpNja2Xg6gpgIDA9WtWzetW7euyvPr1q1T7942OkUMAD5o6tSpevbZZ3Xu3DllZmbqrrvuUp8+fTR79mylpaXp3LlzpiO6xGzyIWXnpD0fODd2CA43nabuNb1FenCJVJjt3BThghdv719RIW35k9Sss9S2n+k0qCfVXrM0ePBg7d69W8eOHVN2drays7P10UcfVb4/PDxcSUlJatu2rTIzM/XQQw/pnXfeUUBArS6FqjdPP/20UlJSdPvtt6tPnz6aN2+ejh8/rgkTJpiOBgC4AcOGDdOePXt09OhRWZYly7K0detWpaWlSZL8/PwUHx+vpKQk3XbbbUpKSlJSUpKio6MNJ2c2+Yx9K6TzRfZegvdTrXpLw+ZI/xwnrXxaGvYn53VN3ibrU+n0QemXC7wzP2ql2lbz8ccfS5LOnDmjnTt3avfu3dq1a5d27dqlAwcOqKCgQOvXr69cT71kyRItW7ZMCQkJSkxMrHzr0qWLoqI8507ODzzwgPLz8/XKK6/oxIkT6tSpkz755BO1atXKdDQAwA1Yvny5JKm4uFgZGRnavXt35dvevXt17tw5HTx4UAcPHtSyZcskOa8TunDhxm+QfKOYTT5i93tSkzZSqz6mk9SvxAekM4elL15z7pB352TTiWrGsqRNb0iNY6VO95lOg3pU4/ssXVRWVqa9e/dWKVAZGRk6e/bspU/+Y4nylEF0o7iXBQDUjCd937QsS1lZWVUK1K5du/Ttt9+qoqLCdLxa86T/xriG4lzpzQTp356Xfj7NdJr6Z1nSh/8h7f1QGrVI+tkw04muX+an0pL7nbv89fgP02lwg+r0PksXBQYGqmvXruratWuV548cOVKlQO3cuVM5OTm1/TIAALiFw+FQu3btKm/0elFhYaHBVPAp/7tckiV1ut90EjMcDmn4XKkwR/rHOCksVortZjrVtVmWtP4VKTxOus2Hlk9C0g2Upatp06aN2rRpoxEjRlQ+d/nZJgAAPEl4uA9cZA/PsPcD5+YAUR1MJzGnQUPpwfek/3e39PfR0qOfOe/D5MkOrnJu9z5sjnNLdPiUWt9nqSbCwsLq48sAACBJKigo0J49e7Rp0yalp6dfsSU3UO8Kjkrf/ovrXSQpNEoa8z/SD99J7z0gnS82nejqyn+QPv2dFHGLlDjadBoYUC9lCQCA+rBixQrdcccdioqKUlJSkvr166eePXsqNjZWTZs21fDhw7VgwQIVFRWZjgpf87//dD5SlpyiE6RRf5XyDkgfPCKVe+i17dvedu6Ad8+rkr9n7/aMulFtWfLz83P7/ZLq4nMCAPDcc8/pvvvu07Zt21RRUaHQ0FA1b95cISEhsixLBQUFSk1N1cSJExUbG6sZM2aorMyL7/kC77LnQ6lFD6lJa9NJPMctd0tD3pAy10qrnndeG+RJSvKkDbOk+AFS+0Gm08CQa55ZquVmefX+OQEAvmvNmjV68803ZVmWJk+erMOHD+vs2bPKycnRhg0b1KZNG918882aNm2aevbsqdLSUr388svq378/19Wi7p35Wjq5R7r1l6aTeJ7uj0h9Jknpf5HWTveswrTuv6QfSqV7ZnJfJR92zfOJ5eXlysnJoeAAADzWwoUL5XA4NG3aNP3+97+vfL6kpETJycmKj49Xampq5TW0GRkZmjBhgr788ks9/PDDWrFihano8AUHPnE+Jgwxm8NTDZjhvH5p6xzJP1Dq/1/my8mhNc57YvV9RopqbzYLjLpmWTp9+rRat27tti/oMP0/PwDAdrKysiRJEydOrPL84sWLdfLkSX366adVNhvq0qWLNm7cqF/96ldKTU3VV199pZ49e9ZrZviQAyulZp1Ygnc1Dod072znZgqb/9tZmH4+1Vye7wqkj56Som+V/u3/mMsBj3Bdy/Dc/QYAgDv5+TnHWURERJXnMzMzJUlxcXFXfExAQIDmzp0ry7K0efPmug8J31SaL+WkSR0Gm07i2RwO5w1fb3tI+mKWtPZFM0vyLEtKnSydOy2NmCsFBNV/BniUastSRUVFnbwdP368vo4PAOAD2rZtK8uytHPnzirPx8bGyrIszZw50+XHnT9/XhK3uEAdOrRasipYgnc9/PykoX+Sejwmbfm/0orf1v8ueWlzpX3LpbunS82T6vdrwyOxdTgAwOtNmTJF77777hU3mB0zZozCwsI0a9Ys9e7dW3PmzNG2bduUlZWltWvXatSoUQoICFDfvn0NJYftHVgpNW4h3ZxoOol38POTBr8u9Zsq7VosLXtYKiutn699eL3zjFZCstRncv18TXg8NowHAHi9xMREJSZe+cNoTEyMPvnkE40cOVJpaWn66quvqrzfsixNmzZNHTp0qK+o8CVl56TDn0tdU8xvWOBNHA6p3xSpUVPnluJ/GSg9uKRur/k6vkt6/yEpqoNz+R1/XvgRZQkAYGu9evVSZmamFi1apFWrVikzM1MXLlxQfHy8xo4dq5EjR5qOCLv6eoN04TuuV6qt2x+TmrSRPnxEWtBP+tU7znszuVvuHmnx/VJwE+mhD6WGLMvFJZQlAIDXsizrunZZDQ4O1rhx4zRu3Lh6SAX8KOtTKTBUatXHdBLv1W6A9Nh6aemvpUW/lO543Lm1eINg93z+b7ZI7z0oBd0kpSyXGjd3z+eFbXDNEgDAa0VHR+vhhx/W+++/z81l4VksS8paJ7W5SwoINJ3GuzW9RXrsc+fGD2lzpfl3OZc33gjLktLekv46VAqNkh5ZLUXGuycvbIWyBADwWgUFBVq8eLHGjBmj6Oho3X333XrzzTd18OBB09Hg6/IPS4XZUnx/00nsIbCRNOQN6aF/SBfOO88yvfeAdCKj5p8r75CzJK2eIrW7R3r0Mym8pfszwxYoSwAAr5WXl6fFixdr1KhRCg0N1YYNG/T888/rZz/7mdq1a6enn35an332mS5cqOfth4HDnzkfb6EsuVV8f+mJbdKAGdLRL6X5faWFydLupc6byV5NRblzyd0Hj0hze0q5Gc77Oj24RAoOv/rHwec5rGvcJfaFF17Q1KlTFRoaWl+ZPFb37t2Vnp5uOgYAeI36/L5ZXl6uL7/8UqmpqVq5cqUOHDggSXI4HLrpppt0zz33aMiQIRo8eLAiIyPrJVN9YDZ5qCUjnWeXntphOol9fVcg7fibtO1t6WyO5BcgNevkfAuNlvwDpfPFUn6WdGy780azQY2l7r+Rej3pXH4Hn1ST75vXLEt+fn6KiYnRjBkz9Oijj17XhbR2xUACgJox+X3zyJEjSk1NVWpqqjZt2qSysjI5HA75+fmpR48eSk5OVnJysrp06WIkn7swmzzQD99Lr7WWuj4sDZ5tOo39VVRIx3dKB1c6S9Gp/dK5fKnigtSgkXNHvZjOUvuBUruBzs0c4NPcWpZuuukmlZaWyuFwqFOnTnrjjTf0i1/8wi1BvQ0DCQBqxlO+b5aUlGjNmjVKTU3V6tWrderUqcpf/rVo0ULJyckaMmSI+vfvr6CgIMNpa8ZT/hvjMoc/d15TM+Z/nD+go/5ZlmRVSH7+ppPAA9Xk++Y1r1k6fPiwxo8fL39/f+3Zs0eDBg3S4MGDtX///hsOCgDAjXjhhRdUUlJyzdeFhobq/vvv18KFC3XixAlt3bpVU6dOVefOnZWTk6O33npLQ4cO1WuvvVYPqWF7WZ9J/kFSa7YMN8bhoCjBLa5ZlqKjo/XWW29p7969GjZsmCzL0po1a5SYmKjHH39ceXl59ZETAIArzJw5U+3bt9fbb7+tayyUqORwONSzZ0+98sor2rVrl3JycjR37lwNHjxYjRo1quPE8AlffyHF9ZQCQ0wnAXCDrns3vPbt22v58uXauHGjevTooQsXLmj+/Plq166dZs+erbKysrrMCQDAFUJCQpSbm6sJEyYoKSlJ69atq/HniI2N1YQJE5Samqpnn322DlLCp5TmSyf3OO+vBMDr1Xjr8DvvvFNpaWlaunSp2rRpo6KiIk2dOlUJCQl6//336yIjAAAusVQcHuebzc7H1pQlwA5qfZ+lUaNG6cCBA/rDH/6gpk2b6ujRoxozZox69+6ttLQ0d2YEAMAllorD4xzZJDUIkWK7mk4CwA1u6Ka0AQEBmjRpkrKysvT8888rKChIaWlp6tOnjx588EEdPXrUTTEBALg6lorDYxzZKMXdIfk3MJ0EgBvcUFm6qHHjxpo1a5YOHTqklJQUORwOLVu2TB07dtSUKVNUXFzsji8DAEC1WCoOo4pPSqcPSm36mk4CwE3cUpYuatGihf76179qx44d+sUvfqHz58/r9ddfV7t27dz5ZQAAqBZLxWHE0U3ORzZ3AGzDrWUpPz9fmzZtUlpamhISEhQVFSXLslgzDgCodywVR707slEKaizFJJpOAsBNAmrzQbm5udq/f7/27dtX5e306dNVXne997wAAKCuXFwq/tvf/lYvvPCClixZomXLlmnFihWaNGmSXnjhBd10002mY8IOjm6SWvWW/Gv14xUAD3TNv81r166tUoj279+vwsLCKq+5vBQFBQWpQ4cOuvXWW9WpU6fKNwAATLq4VPyZZ57Rc889p3Xr1un111/XwoULlZubazoevF3RCenM11L3R0wnAeBG1yxLgwYNksPhkFS1FPn7+ys+Pl6dOnWqUozatWsnf3//uksMAEAt5OfnV/7SLyEhQbt27VJeXh5LxeEeOT9eCxfXy2wOAG51XeeJW7VqVeUs0a233qqOHTsqMDCwrvMBAFAjLBWHEdlfSQENpZguppMAcKNrlqXi4mKFhITURxYAAGqEpeLwGDlpUmw3KYBfJAN2cs2yRFECAHgqlorDI5SVSicypDsnm04CwM3YrgUA4NVYKg7jjm2XrHKp5R2mkwBwM8oSAMBrsVQcHiH7K+djyx5mcwBwO7felBYAgPpEUYJHyN4qRXWUgpuYTgLAzTizBACwnYKCAn377bcqLCxUcHCwWrRooZiYGNOxYEcV5dK3/5I63W86CYA6QFkCANjGihUrNHPmTKWnp1+xNXh4eLjuvPNODRkyRA8++KAaN25sKCVs5dR+6XyRFMf1SoAdsQwPAGALzz33nO677z5t27ZNFRUVCg0NVfPmzRUSEiLLslRQUKDU1FRNnDhRsbGxmjFjhsrKykzHhre7eDPalj3N5gBQJyhLAACvt2bNGr355puyLEuTJ0/W4cOHdfbsWeXk5GjDhg1q06aNbr75Zk2bNk09e/ZUaWmpXn75ZfXv319nz541HR/eLPsrKbSZ1KS16SQA6gDL8AAAXm/hwoVyOByaNm2afv/731c+X1JSouTkZMXHxys1NVVhYWGSpIyMDE2YMEFffvmlHn74Ya1YscJUdHi7Y9ulFj2kH+/3BcBeOLMEAPB6WVlZkqSJEydWeX7x4sU6efKk5s2bV1mUJKlLly7auHGjhg0bpo8//lhfffVVveaFTZw7I505LMV2M50EQB2hLAEAvJ6fn3OcRUREVHk+MzNTkhQXF3fFxwQEBGju3LmyLEubN2+u+5Cwn+M7nY+UJcC2KEsAAK/Xtm1bWZalnTt3Vnk+NjZWlmVp5syZLj/u/PnzklTlrBNw3Y7tkOSQmieZTgKgjlCWAABeb8qUKXr33XcVHh5e5fkxY8YoLCxMs2bNUu/evTVnzhxt27ZNWVlZWrt2rUaNGqWAgAD17dvXUHJ4tWPbpch2UkPKNmBXbPAAAPB6iYmJSkxMvOL5mJgYffLJJxo5cqTS0tKuuDbJsixNmzZNHTp0qK+osAvLcpal+P6mkwCoQ5QlAICt9erVS5mZmVq0aJFWrVqlzMxMXbhwQfHx8Ro7dqxGjhxpOiK8UdExqfQU1ysBNkdZAgDYXnBwsMaNG6dx48aZjgK7OLbd+Rjb1WwOAHWKa5YAAABq6th2yT9QatbJdBIAdYiyBAAAUFPHdkgxnaWAINNJANQhyhIAAEBNVJQ777HUnCV4gN1RlgAAAGridKZUVsLmDoAPoCwBAADUxPEdzkc2dwBsj7IEAABQEyd2Sw1CpKbtTCcBUMdsU5bOnDmjJ598UgkJCQoODlbLli01ceJE5efnV3ldQUGBUlJSFBYWprCwMKWkpKiwsNBQagCAnTGbbOpEhhTTSfKzzY9RAK7CNn/Ljx8/rmPHjmn27Nnas2ePFi9erI0bN2r06NFVXjdmzBjt2LFDq1at0urVq7Vjxw6lpKQYSg0AsDNmkw1VVEi5e6SYLqaTAKgHtrkpbadOnfSPf/yj8t/j4+P1+uuvKzk5WUVFRWrcuLH279+v1atXa/Pmzerdu7ckaf78+erbt68OHjyoDh06mIoPALAhZpMNFRyRyoqlmylLgC+wzZklV4qKihQUFKRGjRpJkrZu3arQ0NDKYSRJffr0UUhIiLZs2WIqJgDAhzCbvNyJ3c5HziwBPsE2Z5Z+qrCwUC+++KIee+wxBQQ4DzM3N1dRUVFyOByVr3M4HIqOjlZubq7Lz7NgwQItWLBAkpSXl1f3wQEAtsVssoHcDMkvQIruaDoJgHrg8WeWpk+fLofDUe3bhg0bqnxMaWmphg4dqtjYWM2ePbvK+y4fRhdZluXyeUkaN26c0tPTlZ6erqioKLcdFwDAezGbfNiJDCmqoxQQZDoJgHrg8WeWJk+erIceeqja18TFxVX+c0lJiQYPHixJ+vjjj9WwYcPK98XExOjUqVNVBpBlWcrLy1OzZs3qID0AwI6YTT7KspxnltoNNJ0EQD3x+LIUGRmpyMjI63ptcXGx7r33XlmWpdWrVys0NLTK+3v16qWSkhJt3bq1cm341q1bVVpaWmWtOAAA1WE2+ajiXKk0j+uVAB/i8WXpehUXF2vgwIEqKirS8uXLVVpaqtLSUklSRESEAgMD1bFjRw0aNEjjx4/X22+/LcuyNH78eCUnJ7PbEADA7ZhNNpOb4XxkJzzAZ9imLG3fvl1paWmSpPbt21d53/r169WvXz9J0pIlS/TUU09p4EDnKfRhw4Zpzpw59ZoVAOAbmE02c+LHstSsk9kcAOqNbcpSv379ZFnWNV8XERGhxYsX10MiAICvYzbZTO5uKaKt1LCx6SQA6onH74YHAADgEU7s5nolwMdQlgAAAK7l+7NSYTbXKwE+hrIEAABwLSf3OR+5XgnwKZQlAACAazn1v87H6J+ZzQGgXlGWAAAAruXkPikoTAprYToJgHpEWQIAALiWU/uk6I6Sw2E6CYB6RFkCAACojmU5zyw1Ywke4GsoSwAAANUpOiadP8v1SoAPoiwBAABUp3InvFvN5gBQ7yhLAAAA1ancCa+j2RwA6h1lCQAAoDon90mNY6XgJqaTAKhnlCUAAIDqnNrH9UqAj6IsAQAAXE35D1LeQXbCA3wUZQkAAOBq8rOkih+kaDZ3AHwRZQkAAOBqTv64uQM74QE+ibIEAABwNaf2SX4BUmR700kAGEBZAgAAuJpT+6Wm8VJAoOkkAAygLAEAAFxN3gEpKsF0CgCGUJYAAABc+eF7qeAoZQnwYZQlAAAAV/KzJKtCiuJ6JcBXUZYAAABcyTvgfOTMEuCzKEsAAACunD4kOfycGzwA8EmUJQAAAFfyDkhNWksBQaaTADCEsgQAAOBK3iGW4AE+jrIEAADwU+UXnBs8cDNawKdRlgAAAH6q4IhU8QNnlgAfR1kCAAD4qcqd8DizBPgyyhIAAMBP5R10PrIMD/BplCUAAICfyjsoNW4hBd1kOgkAgyhLAAAAP3X6IEvwAFCWAAAAqqioYNtwAJIoSwAAAFWdzZEufMf1SgAoSwAAAFWcPuR8jOpgNgcA4yhLAAAAl7tYliIpS4CvoywBAABc7nSmFNxECmlqOgkAwyhLAAAAl8vPkprGm04BwANQlgAAAC6Xf5iyBEASZQkAAOCS8yVS8XGp6S2mkwDwAJQlAACAi8587XzkzBIAUZYAAAAuyc9yPlKWAIiyBAAAcEn+YedjRFuzOQB4BMoSAADARflZUuNYKTDEdBIAHoCyBAAAcFF+JkvwAFSiLAEAAEiSZXGPJQBVUJYAAAAk6Vy+9P1ZyhKASpQlAAAAiZ3wAFyBsgQAACBdVpa4IS0AJ8oSAACA5CxLfgFSeCvTSQB4CMoSAACA5CxLTdpI/gGmkwDwEJQlAAAAyXlDWq5XAnAZyhIAAEBF+Y9lieuVAFxCWQIAADj7rVR+XopsZzoJAA9CWQIAAGDbcAAuUJYAAADyDzsfI1iGB+ASyhIAAEDBEalBI+mmGNNJAHgQyhIAAMCZI1KT1pLDYToJAA9CWQIAACg44rzHEgBcxpZlybIsDRo0SA6HQx988EGV9xUUFCglJUVhYWEKCwtTSkqKCgsLDSUFAPgKZpMHq6iQCo5KEZQlAFXZsiy9+eab8vf3d/m+MWPGaMeOHVq1apVWr16tHTt2KCUlpZ4TAgB8DbPJg5XkShe+dy7DA4DLBJgO4G7p6en64x//qO3bt6tZs2ZV3rd//36tXr1amzdvVu/evSVJ8+fPV9++fXXw4EF16NDBRGQAgM0xmzzcmSPOR84sAfgJW51ZKi4u1ujRozV//nxFR0df8f6tW7cqNDS0chhJUp8+fRQSEqItW7a4/JwLFixQ9+7d1b17d+Xl5dVZdgCAPTGbvEDBj2WJa5YA/IStytKECRM0aNAgDR482OX7c3NzFRUVJcdlO904HA5FR0crNzfX5ceMGzdO6enpSk9PV1RUVJ3kBgDYF7PJC5w5Ijn8pfA400kAeBiPX4Y3ffp0vfrqq9W+Zv369crJydHu3buVnp5e7WsdLrYEtSzL5fMAALjCbLKZgiNSWAvJv4HpJAA8jMeXpcmTJ+uhhx6q9jVxcXFauHCh9u3bp9DQ0Crve+CBB9SrVy9t3rxZMTExOnXqVJUBZFmW8vLyrlhDDgDA1TCbbObMEa5XAuCSx5elyMhIRUZGXvN1r776qp599tkqz3Xu3FlvvPGGhg8fLknq1auXSkpKtHXr1sq14Vu3blVpaWmVteIAAFSH2WQzBUekn40wnQKAB/L4snS9YmNjFRsbe8XzLVu2VNu2bSVJHTt21KBBgzR+/Hi9/fbbsixL48ePV3JyMrvXGockAAALFklEQVQNAQDcjtnkBb4rcL5xZgmAC7ba4OF6LFmyRImJiRo4cKDuueceJSYmatGiRaZjAQB8GLPJoMptw9uazQHAI9nmzJIrlmVd8VxERIQWL15sIA0AAMwmj8O24QCq4XNnlgAAACpdPLPUpLXRGAA8E2UJAAD4roIjUki0FBR67dcC8DmUJQAA4LvOHGVzBwBXRVkCAAC+q+AI1ysBuCrKEgAA8E0/fC8VHefMEoCroiwBAADfVPiNJIszSwCuirIEAAB8U+U9lihLAFyjLAEAAN9UcNT5yJklAFdBWQIAAL6pMFtq0EgKiTSdBICHoiwBAADfVPiNFB4nORymkwDwUJQlAADgmwq/kcJbmU4BwINRlgAAgG8qzHaeWQKAq6AsAQAA3/NdofT9WcoSgGpRlgAAgO8pzHY+UpYAVIOyBAAAfM/FstSEa5YAXB1lCQAA+J7Cb5yPbPAAoBqUJQAA4HsKs6XAUCm4iekkADwYZQkAAPiewmznWSXusQSgGpQlAADge9g2HMB1oCwBAADfYllSwTeUJQDXRFkCAAC+5bsCqayYnfAAXBNlCQAA+BbusQTgOlGWAACAb6ncNpyyBKB6lCUAAOBbKs8ssQwPQPUoSwAAwLcUZktBYVJwuOkkADwcZQkAAPgWtg0HcJ0clmVZpkN4i9DQUCUkJJiOUWfy8vIUFRVlOkadsPOxSRyfN7PzsUnSgQMHVFJSYjqGrTGbvJedj03i+LydnY+vJrMpoI6z2EpCQoLS09NNx6gz3bt3t+3x2fnYJI7Pm9n52CTn8aFuMZu8l52PTeL4vJ2dj68ms4lleAAAAADgAmUJAAAAAFzw/93vfvc70yG8Sbdu3UxHqFN2Pj47H5vE8XkzOx+bZP/j8wR2/29s5+Oz87FJHJ+3s/PxXe+xscEDAAAAALjAMjwAAAAAcIGyBAAAAAAuUJYAAAAAwAXKUi089thjuuWWWxQcHKyoqCgNHz5c+/fvNx3LLc6cOaMnn3xSCQkJCg4OVsuWLTVx4kTl5+ebjuYWCxYs0M9//nOFh4fL4XDo6NGjpiPdkLlz56pNmzZq2LChunXrpk2bNpmO5DYbN27UsGHDFBsbK4fDoYULF5qO5DYzZ85Ujx491LhxY0VFRWno0KHau3ev6Vhu8+c//1ldunRR48aN1bhxY/Xq1UsrV640Hcv2mE3ejfnkHZhN3qu2s4myVAvdu3fXwoULtX//fq1Zs0aWZWnAgAH64YcfTEe7YcePH9exY8c0e/Zs7dmzR4sXL9bGjRs1evRo09Hc4ty5cxo4cKDssAnk+++/r0mTJmnatGnauXOnevfurXvvvVfZ2dmmo7lFSUmJOnXqpD/+8Y8KDg42HcetNmzYoMcff1xbtmzR559/roCAAA0YMEBnzpwxHc0tWrRooddee007duxQenq67r77bo0YMUIZGRmmo9kas8m7MZ+8A7PJe9V6Nlm4Ybt377YkWQcOHDAdpU6sXLnScjgc1tmzZ01HcZt//etfliTryJEjpqPU2u233249+uijVZ6Lj4+3pkyZYihR3QkJCbHeffdd0zHqTHFxseXn52d99NFHpqPUmSZNmljz5s0zHcOnMJu8E/PJezCbvN/1zCbOLN2g0tJSvfvuu4qLi1Pr1q1Nx6kTRUVFCgoKUqNGjUxHwY/Kysq0fft2DRw4sMrzAwcO1JYtWwylQm0VFxeroqJCTZo0MR3F7crLy7V06VKVlJSod+/epuP4DGYTTGE+2QezyYmyVEtz585VaGioQkNDtWrVKn322WcKCgoyHcvtCgsL9eKLL+qxxx5TQECA6Tj40enTp1VeXq5mzZpVeb5Zs2bKzc01lAq1NWnSJCUlJalXr16mo7jNnj17FBoaqqCgIE2YMEH//Oc/1blzZ9OxbI/ZBNOYT/bBbHKiLP1o+vTpcjgc1b5t2LCh8vW//vWvtXPnTn3xxRdq3769Ro4cqXPnzpk7gGuo6fFJzt9MDh06VLGxsZo9e7aZ4NehNsdmFw6Ho8q/W5Z1xXPwbE8//bQ2b96sDz/8UP7+/qbjuE2HDh20a9cupaWlaeLEiRo7dqytLhSuL8wm751NEvPpcswn78JsusRhWZZVT/k82unTp3X69OlqXxMXF+fydH9ZWZmaNGmiefPmKSUlpa4i3pCaHl9JSYkGDx4sy7K0atUqhYaG1kfMWqnNn116erp69OihI0eOeOUSlbKyMjVq1Eh///vfNXLkyMrnn3jiCe3du1dffPGFwXTuFxoaqjlz5ujf//3fTUdxq//8z//U0qVLtX79eiUkJJiOU6cGDBigVq1a6S9/+YvpKF6F2eS9s0liPtl9PjGbvN/1zCbOXf8oMjJSkZGRtfpYy7JkWZbOnz/v5lTuU5PjKy4u1r333ivLsrR69WqPH0Y38mfnrQIDA9WtWzetW7euyjBat26d7r//foPJcL0mTZqkpUuXasOGDbYfRpJUUVHh0d8jPRWz6RJvm00S84n55H2YTVeiLNVQVlaWPvzwQw0YMEBRUVH69ttvNWvWLAUFBSk5Odl0vBtWXFysgQMHqqioSMuXL1dpaalKS0slSREREQoMDDSc8Mbk5uYqNzdXhw4dkiTt27dPhYWFiouLU0REhOF0NfP0008rJSVFt99+u/r06aN58+bp+PHjmjBhguloblFSUqKsrCxJzm9m2dnZ2rVrlyIiIhQXF2c43Y154okntGjRIi1fvlxNmjSpXMd/8VoTbzdlyhQNGTJELVu2VHFxsd577z1t2LCBey3VIWaTd88mifnkLZhN3qvWs6kOd+OzpezsbGvQoEFWVFSU1aBBA6tFixbWmDFjrP3795uO5hbr16+3JLl8W79+vel4N+yll15yeWzeuvXnn//8Z6tVq1ZWYGCg1bVrV+uLL74wHcltrvb/4tixY01Hu2FX+zv20ksvmY7mFmPHjrXi4uKswMBAKyoqyurfv7+1evVq07Fsjdnk/ZhP3oHZ5L1qO5u4ZgkAAAAAXGA3PAAAAABwgbIEAAAAAC5QlgAAAADABcoSAAAAALhAWQIAAAAAFyhLAAAAAOACZQkAAAAAXKAsAQAAAIALlCUAAAAAcIGyBAAAAAAuUJYAAAAAwAXKEuClRowYIYfDoZkzZ6qkpEQvv/yybr31VgUHBysgIEDff/+96YgAAB/EfIKdBJgOAKB2MjIyJElBQUHq3Lmzjh49quDgYPn5+aldu3Zq2LCh4YQAAF/EfIKdOCzLskyHAFAzRUVFCg8Pl2VZCgkJUevWrfWnP/1J/fr1k8Ph0DfffKNWrVqZjgkA8DHMJ9gNZ5YAL5SRkaGLv+e4+eab9eWXXyosLKzy/QwiAIAJzCfYDdcsAV5o9+7dkiSHw6F33nmnyiACAMAU5hPshrIEeKGLw6hnz57q27ev4TQAADgxn2A3lCXAC10cRsOHDzecBACAS5hPsBvKEuBlKioqtHfvXknSXXfdZTgNAABOzCfYEWUJ8DJZWVk6d+6c/Pz81KVLF9NxAACQxHyCPVGWAC9zcYlDfHy8QkNDDacBAMCJ+QQ7oiwBXubiMEpKSjKcBACAS5hPsCPKEuBlLg6j2267zXASAAAuYT7BjihLgJfhN3cAAE/EfIIdOayLt1kG4PEKCgoUEREhSTpx4oRiYmIMJwIAgPkE+6IsAQAAAIALLMMDAAAAABcoSwAAAADgAmUJAAAAAFygLAEAAACAC5QlAAAAAHCBsgQAAAAALlCWAAAAAMAFyhIAAAAAuEBZAgAAAAAXKEsAAAAA4ML/B+VA4WI+RkkqAAAAAElFTkSuQmCC\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-3, 3, test_timing_with_points)\n", "\n", "V = potentials1D.doubleWellPotential(a=0, b=1, Vmax=5)\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions, y_range=[-50,50])\n", "\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Four Well Potential\n", "The four well can be understood as a expansion of the double well potential, and can be used for simulations with four states." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 950 µs\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#phase space\n", "positions = np.linspace(0, 10, test_timing_with_points)\n", "\n", "#build potential\n", "V = potentials1D.fourWellPotential(a=1,b=4, c=6, d=8)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\") #visualize\n", "fig, axes = vis.plot_potential(V, positions=positions)\n", "#fig.savefig(\"four_well.png\")\n", "\n", "pass" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Wave Potential\n", "Wave potentials are typically used in chemical modelling for torsion angles.\n", "\n", "Functional:\n", "\n", "$A*cos(m*(r + w)) + V_{off}$\n", "\n", "first derivative:\n", "\n", "$\\frac{\\partial V}{\\partial r} = -A*m*sin(m*(r + w))$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 992 µs\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#1D\n", "positions = np.linspace(0, 4, test_timing_with_points)\n", "\n", "V = potentials1D.wavePotential()\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "#### 2D" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 226 ms\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-180, 180, test_timing_with_points)\n", "x_positions, y_positions = np.meshgrid(positions,positions)\n", "positions2D = np.array([x_positions.flatten(), y_positions.flatten()]).T\n", "\n", "V = potentials2D.wavePotential(multiplicity=[2,2], radians=False)\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions2D)\n", "\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions2D)\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Torsion Potential\n", "The Torsion potential is an overlay of multiple wave potentials and can be used to build more complex torsion potentials, hence the name.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 2.09 ms\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0sAAAHgCAYAAAB0APZyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdeVxVdeL/8dflsiMuiAKigLjvGOSeUhpqLmhqkubWbySrmWxsprLdps02LSd1qnGjci2XTCszd03FXXNDRUQhxA03kOX8/mDiG3FVVOBc4P18PHg85NyzvO9V8L7v55zPsRiGYSAiIiIiIiL5OJgdQERERERExB6pLImIiIiIiNigsiQiIiIiImKDypKIiIiIiIgNKksiIiIiIiI2qCyJiIiIiIjYoLIkIlJOxcfHY7FYGD58uNlRyryieK319yUiUvJUlkRESsjq1auxWCy89tprZkcxlcViyffl5OSEv78/Dz30EDt27LjjfYeHhxdN0Fs0fPhwLBYL8fHxphxfRESKnqPZAURExBz+/v7s37+fSpUqlfixfXx8GDVqFABXrlxh8+bNzJ8/n8WLF7Ny5Uo6dOhQ4pmKk5mvtYiI3D6VJRGRcsrJyYmGDRuacmxfX98CI2yvvvoqr7/+Oi+99BKrV682JVdxMfO1FhGR26fT8ERESsBrr73GvffeC8C4cePynYb2u927d9OvXz+qVauGi4sL9evX56WXXuLy5cv59vXHa1f27NlDz549qVKlSr59/fTTT9x///34+vri6upKzZo16dq1K0uWLLG5nz9bu3Yt3bp1o0qVKri5udGsWTPef/99srKy8q33x1MLt27dSpcuXahQoQJeXl4MHjyY06dPF/o1evLJJwGIjY0t8HyHDx+On58fzs7OBAYG8tRTT5GamlogB8CaNWvyvb5/LF4ZGRm89957tGjRAnd3dypVqkSXLl1Ys2ZNgTzh4eFYLBYyMzN59dVXCQwMxMXFhSZNmjB79ux86wYFBTFz5kwAateunXfs31/b673WP//8MyNGjKB+/fp4eHjg6elJu3btmDt3bqFfNxERKT4aWRIRKQHh4eHEx8czc+ZMOnXqVOC6mnXr1tG1a1eys7N56KGHqFmzJqtXr+bNN99kxYoVrFmzBldX13zbxMXF0b59e0JDQ/nLX/5CYmIiAEuXLqV37974+voSGRmJl5cXycnJbN68mSVLltC7d+8bZp03bx6DBg3C3d2dgQMHUqVKFZYtW8Y///lP1q9fz8KFC/MVM4CtW7fy7rvv0qVLF0aNGsWGDRv46quvOHr0KBs3biywfmEdPHiQDh06cObMGfr06UODBg3Yvn07kyZN4rvvvuOXX36hWrVqBAUF8eqrrzJu3DgCAwPzlZKgoCAA0tPTiYiIYN26ddx9991ER0dz+fJlFi9eTOfOnZk3bx4PPvhggQxRUVFs376dHj16kJWVxezZsxk0aBCVK1eme/fuADz99NPMmDGDXbt2MXr0aCpXrgxASEjIDZ/fu+++y9GjR2ndujX+/v6cPXuWJUuWEBUVRVJSEk8//fRtvW4iIlJEDBERKRGrVq0yAOPVV1/Ntzw7O9uoU6eOYbFYjNWrV+d77NFHHzUAY9y4cXnLjh07ZgAGYLz55psFjtO3b1/D2dnZSElJKfBYampqgf0MGzYsb9mFCxeMSpUqGR4eHsavv/6atzwzM9OIiIgwAGPmzJkFnhNgLFiwIN9zuu+++wzA2LhxY74MgNGiRYsC2V5++WUDMMLDw/OWhYeHG4Axa9asfOuOGzfOAIwRI0YU2HenTp0K7NswDOP55583AOPtt9/OtzwlJcUIDAw0vL29jStXruQt79SpkwEYbdu2NS5evJi3fPXq1QZgRERE5NvPsGHDDMA4duxYgWPbeq0NwzCOHj1aYN1Lly4ZzZs3NypWrGhcvnz5pvsQEZHio9PwRERMtn79eo4cOUKfPn3o1KlTvsfeeustXFxc8k7x+iM/Pz/++c9/2tynk5MTTk5OBZZXrVr1hlkWLVrEhQsXiI6OplGjRnnLHR0dGT9+PIDNLJ06daJfv3553zs4ODB06FCg4Gl1AMnJybz22mu89tprPPvss3Tq1Il//etfuLi48MYbbwCQkJDA6tWradmyJUOGDMm3/bPPPouPjw+zZ8/m2rVrN3xOADk5OUydOpUmTZrw/PPP53usWrVq/OMf/yA1NZWVK1cW2Patt96iQoUK+Z5rUFCQzed1q2rXrl1gmYeHB8OGDSMtLY0tW7bc8TFEROT26TQ8ERGT7dy5E8DmlNc+Pj40bNiQXbt2cfHiRTw9PfMea9Gihc1CNHDgQBYuXEjTpk2JiooiPDycDh065J0adrtZQkJCqFSpUt46f9SyZcsCy/z9/QE4f/58gcd+++03xo0bB+QWserVqzNw4EDGjh1LixYtbprF1dWVNm3asHjxYg4ePEizZs1u+LwOHjzI+fPnCQwMtDl1++HDhwE4cOAAPXv2LNRzS0hIuOExCyMtLY13332XxYsXc/ToUa5cuZLv8aSkpDs+hoiI3D6VJRERk6WlpQG5xcgWX19fdu3aRVpaWr6yVL16dZvrDxw4EEdHRz788EMmTJjABx98gKOjI7169WLixIkEBATcUZYjR44UWG5rSmxHx9z/YrKzsws81qJFC5ul61az/HG9Gzl79iwAu3btYteuXddd78+TacD1n1tOTs5Nj3sj165do1OnTuzcuZPQ0FCGDx+Ol5cXVquVnTt3snjxYjIyMu7oGCIicmdUlkRETFaxYkUgd7TFlt+X/77e7240aUK/fv3o168f586dY926dcyePZs5c+Zw9OhRduzYcd1tC5PlzzmKy+2+Ljfa1+DBg/niiy+KKOGdWbx4MTt37iQ6Opr//Oc/+R4bP348ixcvNimZiIj8TtcsiYiUEKvVChQcafl9xrS1a9cW2CYlJYUDBw4QHBycb1SpsKpUqULv3r2ZPXs2nTt3ZteuXTc8fexGWXbv3s358+dvOsNbUblRloyMDDZv3oyrqysNGjTIW+7g4GBzJKtRo0Z4enqydetWm48Xhev9/V7P7yN0vXr1KvDYhg0bii6YiIjcNpUlEZES4uXlBcDJkyfzLe/QoQPBwcEsXLiQjRs35nvspZdeIj09PW+yhML4+eefC5y+lZWVlXcq2p+nIP+jyMhIKlasyKeffkpcXFze8uzsbJ577jmAW8pyJwICAujUqRPbtm0rcN+h999/n6SkJKKionB2ds5b7uXlVeD1hdzT5kaNGsWhQ4d46aWXbBaazZs3F7hm6FZc7+/3en4/HfLPxeibb77h22+/ve0cIiJSdHQanohICWnQoAF+fn7MmTMHDw+PvAkQnn/+eaZNm0b37t257777eOihh/D392fNmjVs2rSJ0NBQnn322UIfZ8yYMSQmJhIeHk5QUBDZ2dn89NNP7N27l0ceeeS61wBB7vU5U6dO5ZFHHiE0NJSoqCgqV67MsmXL2Lt3Lz179iyxsgQwZcoUOnTowKBBg5g/fz7169dn+/bt/PDDD9SuXTtvhr7f3XvvvcyfP5+BAwfSvHlzrFYrgwYNIiAggNdff53Y2FjeeecdFi5cyD333IOXlxeJiYnExsZy6NAhkpKScHd3v62s9957L++//z6jRo2if//+uLu706xZM3r06GFz/V69ehEQEMD48ePZt28fDRs2ZN++fXz//ff07duXhQsX3lYOEREpQmbPXS4iUp5s2LDB6NChg+Hh4ZF3f6Lf7dixw+jbt6/h5eVlODk5GXXq1DHGjh2b7x4/hnHz++3MmTPHGDBggBEcHGy4ubkZXl5ext13321MnTrVyMzMLNR+Vq1aZURERBiVKlUyXFxcjMaNGxvvvPOOce3atQLrYePeUTd6jOvcZ+l6jhw5YgwZMsTw8fExnJycjFq1ahlPPvmk8dtvvxVY9+TJk0a/fv0MLy8vw2KxGICxatWqvMczMzONf//730br1q0NT09Pw9XV1ahdu7YRGRlpzJw5M9/r8/t9lmy53mNvvfWWERwcbDg6OuZ7ba/3WsfFxRl9+vQxvL29jQoVKhgdOnQwvv/+e2P69OkGYEyfPj1vXd1nSUSk5FkMwzDMKGkiIiIiIiL2TNcsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjaoLImIiIiIiNigsiQiIiIiImKDypKIiIiIiIgNKksiIiIiIiI2qCyJiIiIiIjYoLIkIiIiIiJig8qSiIiIiIiIDSpLIiIiIiIiNqgsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjaoLImIiIiIiNigsiQiIiIiImKDypKIiIiIiIgNKksiIiIiIiI2qCyJiIiIiIjYoLIkIiIiIiJig8qSiIiIiIiIDSpLIiIiIiIiNqgsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjaoLImIiIiIiNigsiQiIiIiImKDypKIiIiIiIgNKksiIiIiIiI2qCyJiIiIiIjYoLIkIiIiIiJig8qSiIiIiIiIDSpLIiIiIiIiNqgsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjaoLImIiIiIiNigsiQiIiIiImKDypKIiIiIiIgNKksiIiIiIiI2qCyJiIiIiIjYoLIkIiIiIiJig8qSiIiIiIiIDSpLIiIiIiIiNqgsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjaoLImIiIiIiNigsiQiIiIiImKDypKIiIiIiIgNKksiIiIiIiI2qCyJiIiIiIjYoLIkIiIiIiJig8qSiIiIiIiIDSpLIiIiIiIiNqgsiYiIiIiI2KCyJCIiIiIiYoPKkoiIiIiIiA0qSyIiIiIiIjY4mh2gLPL29iYoKMjsGFIGGQZcysjiYkYmVzKySc/MxvjD405WB5ysFhwsFqwOFiyA8b/tsnMMsnJyyMw2yDH+bytHBwseLo54uDji6eKIs6M+Q5HiER8fT2pqqtkxyh1vDweCguuBi6fZUURE7MKt/H+kslQMgoKCiI2NNTuGlBHpmdms3J/Cop0nWXvoNBlZOXg6OtApoAohAZVpUbMSDX0r4l/FDSdr4YrOmUsZHPrtEgeT09iecJ4tx86SnJZOGtDIryIRjX3o29KfIG+P4n1yUq6EhYWZHaFcCvJ2J3bgBXjkvxDUwew4IiKmu5X/j1SWROxUXMolZmw8xuIdp7iYkUV1TxcebhXAvQ2r07q2F65O1tved9UKLrSt4ELbOlUZ3h4MwyD+zBV++vU3fvw1mY9/PsxHKw/TJtiLqLsD6N7MFxfH2z+eiJioal2o7AxfPgRDvoGANmYnEhEpNVSWROyIYRisj0vls3XHWHvoNM6ODvRs7ke/u2rSJrgqVgdLsRzXYrFQ29uDkR2DGdkxmOQL6Xy9PZG5W0/w9NydvL3chUfb12ZQ6wA8XZ2KJYOIFBMHRxi2BGb0gC/6w9BFUFOjfCIihaGyJGInthw7y/s/HGRL/Fmqe7rwzP31GdQ6gKoVXEo8i28lV568ty6Pd6rDurhU/rPmCG8vP8C/V8UxqlMdHm1fGzdnjTSJlBqevjDsW5j+AMQ8mFuY/O8yO5WIiN1TWRIxWVzKRf61dD9rDp2mmqcLr0c2YeDdtezitDcHBwud6lejU/1q7E48z8cr43jvh4PM2hTP37vUp39oTRwLeZ2UiJisYo3cwjTjAYjpm/tnv+ZmpxIRsWt6lyNikssZWby9fD/dJq5jR8I5xnZvyNp/3svQtkF2UZT+rHnNynw+LIx5j7WlRmU3nv9mD5GfbGB34nmzo4lIYVWuBcOWgnMFmBUJv+0zO5GIiF1TWRIxwc8HfqPzB2v4z5qj9G3pz8//COexTnVKxaltrWp78c3j7fj3oJacvphBn082MO7bfVzKyDI7mogURpVAGP4tOLrAzN6QcsDsRCIidktlSaQEXUzP5NkFu3h0RiyV3Z34+vF2vDegBd4mXJd0JywWCz2b1+CnZzoxuHUgMzbG03XCWrYcO2t2NBEpDK/g3BEmByvM6g2ph81OJCJil1SWRErI5qNn6DZxHQu2JfJEeB0W/7U9oYFVzI51Ryq6OvGvPk1ZMKotjlYLUZ9u4r0fDpCZnWN2NBG5Ge+6udct5WTDzF5w5ojZiURE7I7Kkkgxy8kxmLL6CA9/9gtOVgvzR7Xj2W4N7fK6pNsVGujFd0/dQ//Qmnyy6gj9p2wk8dwVs2OJyM1Ua5A7rXhWRu4peefizU4kImJXVJZEitGFK5lEx2xj/PcH6N7Mj6VP3VPqR5Oup4KLI+/2b8GUwXdx9PRlek1az/rDqWbHEpGb8WkCQxfDtUu5I0znT5idSETEbqgsiRSTuJRL9P5kPWsOpfBar8b8++GWVHAp+7P1d2/mx5K/dcC7ggtDp21m6pojGIZhdiwRuRG/5rn3Xrp6IbcwpZ0yO5GIiF1QWRIpBhviUuk7eQOXM7KYE92W4e1rY7FYzI5VYmp7e7DoyfZ0a+rLO8sP8Mz8XVzL0nVMInatRksY8g1cTs0tTBeTzU4kImI6lSWRIjZ7SwLDpm2hRiU3Fj1Z+idxuF0eLo58Mugunu5Sj2+2n2T49C2kpWeaHUtEbqRmGDyyANKScq9hupRidiIREVOpLIkUEcMw+Oinw4z9Zg/t63qz4PG21KzibnYsU1ksFp7uUp/3B7Rgy7GzDJiyiVPnr5odS0RuJKANDJ4H5xNyb1x7+YzZiURETKOyJFIEcnIM/rV0PxN+OkT/0Jr8d1gYnq5OZseyG/1DazJjRCtOnb/KgKmbOH7mstmRRORGgjrAoDlw9ijERMIV3UNNRMonlSWRO5SVncNzX+9m2oZjjGgfxLv9muNo1Y/Wn3Wo583s6DZcuZbFgKmbiEu5aHYkEbmR4HCI+hJOH4SYvnD1vNmJRERKnN7RidyBrOwcRs/ZyfxtiTzdpR6v9GyMg0P5mcjhVjX1r8Sc6LbkGDDwP7/w66k0syOJyI3U7QIDv4Df9sEX/SBdP7MiUr6oLIncpuwcgzHzdvHdniRefKART3epX65mvLtdDXw9mfdYG5wdHXj4s1/Yd+qC2ZFEStzkyZOpXbs2rq6uhIaGsm7duhuubxgGEydOpGHDhri4uODn58fzzz9fMmHrd4WHZkLSTviyP2RcKpnjiojYAZUlkduQk2Pw7ILdLNl1iue6NWRkx2CzI5UqwdUqMO+xtng4Wxn63y3EpejNl5Qfc+fOZfTo0bzwwgvs2LGDdu3a0b17dxISEq67zTPPPMPkyZMZP348+/fvZ9myZXTs2LHkQjfsAf2nQWIsfPUQXNN1hyJSPlgM3S2yyIWFhREbG2t2DCkmOTkGLy7aw+wtJ/h7l/qM7lLP7Eil1rHUywyYuglHBwvzR7Wlllf5nj2wrNPvxlytW7emefPmfPbZZ3nL6tWrR//+/Xn77bcLrH/w4EGaNm3K7t27adSo0S0fr0hf9z0L4JuR/5sAYh44uRXNfkVEStCt/F7UyJLILXp7+X5mbznBk/fW4anOdc2OU6rV9vbgi7+0Ij0rm0Gf/0LyhXSzI4kUq2vXrrFt2zYiIiLyLY+IiGDjxo02t1m8eDHBwcF8//33BAcHExQUxLBhw0hJMeEeSM36Q58pcGwdzBkEmfqZFZGyTWVJ5BZ8vu4on607xtC2gfwjooGuUSoCDX0rMnNEK85dzmTIfzdz4YpuXCtlV2pqKtnZ2fj4+ORb7uPjQ3Jyss1tjh49yvHjx5kzZw4zZswgJiaGAwcO0KtXL3Jycmxu8+mnnxIWFkZYWBinT58u2ifRIgp6T4IjP8O8oZCVUbT7FxGxIypLIoW0ZNcp3vhuP92b+vJqryYqSkWoRa3KfDY0jPgzl3nsi1gysrLNjiRSrP78+8MwjOv+TsnJySEjI4OYmBg6duzIPffcQ0xMDFu2bGHr1q02t4mOjiY2NpbY2FiqVatW5Pm5awj0nAiHf4D5IyBbH3KISNmksiRSCBvjUnlm3k5aBXkxYWAIVk0PXuTa1qnK+wNa8MvRszy7YDe6nFLKIm9vb6xWa4FRpJSUlAKjTb/z8/PD0dGR+vXr5y2rV68ejo6ON5wUotiFjYAH3oeD38HX/w+ys8zLIiJSTFSWRG4iLuUij8Vso7a3B58NDcPVyWp2pDIrMsSff3ZtwOKdp3j/x4NmxxEpcs7OzoSGhrJixYp8y1esWEG7du1sbtO+fXuysrI4cuRI3rKjR4+SlZVFYGBgsea9qVYjoetb8OtiWBgNORoVFpGyxdHsACL27PyVa/y/mbG4ODkwfUQrKrk7mR2pzHsivA6J567yyaojBHp58NDdtcyOJFKkxowZw5AhQ2jVqhXt27dn6tSpnDp1ilGjRgEwduxYtmzZwsqVKwHo0qULd911F48++igTJ04E4Omnn6Z169aEhYWZ9jzytH0y9zS8n14FByfoMxkc9KGSiJQNKksi15GZncOTX20n6Xw6s6Nb419ZU+SWBIvFwr8im3Di7BVeWrSXuj4VuCugitmxRIrMwIEDOXPmDG+88QZJSUk0bdqUZcuW5Y0SJSUl5RtFcnBwYOnSpTz11FN07NgRNzc37r//fj788EMcHOzkBJEOT0NOJvz8BlgdodcksJdsIiJ3QPdZKga6l0jZ8MrivczadJz3B7Sgf2hNs+OUO+evXKP3vzeQnpnNt3/rgE9FV7MjyR3S70ZzlOjrvuotWDMeQkdAzwmgiXBExA7pPksid+irzQnM2nScxzoGqyiZpLK7M58NDeNSRhbRMdtIz9S1ECJ2L3wsdBgD26bD8mdBn8eKSCmnsiTyJ7sTz/Pakn10ql+NZ7s1NDtOudbA15MPHwph14nzvLRor2bIE7F3Fgt0fgXa/hW2fAo/vKjCJCKlmsqSyB+cv3KNx7/YTjVPFyZqinC70K2pL6M712PBtkTmxZ4wO46I3IzFAhFvQOtR8MsnuRM/qDCJSCmlCR5E/icnx+CZebtIuZjO/FHtqOLhbHYk+Z+nOtdje8I5Xlm8j+Y1K9PIr6LZkUTkRiwW6PZO7ix5Gz4CqzPc95LZqUREbplGlkT+Z8qaI6w8kMLLPRsTUquy2XHkD6wOFiYMDKGSmxNPfrmdSxm6+aWI3bNYcm9ae9dQWPserHnX7EQiIrdMZUkE2HTkDB/8eJBeLWowpI3JN3kUm7wruPDxwy2JP3OZF77Zo+uXREoDBwfo+RG0GASr3oR1H5qdSETklqgsSbl3/so1/j53J0FVPXj7wWZYNNWt3WoTXJUx99dnya5TfLUlwew4IlIYDg4Q+W9oNgBWjoONk8xOJCJSaLpmSco1wzAY+80ezlzO4PNh7angoh8Je/dEeF22xJ/j9W9/pVWQF/V8PM2OJCI342CFPlNzr2H68aXca5haP2Z2KhGRm9LIkpRr82MTWb43mWciGtDUv5LZcaQQHBwsvD+gOR4ujoyes5NrWTlmRxKRwrA6Qr/PoWHP3HswxU43O5GIyE2pLEm5dSz1Mq99u492daoSfU+w2XHkFlT3dOWdB5vxa1IaE346ZHYcESksqxP0nwb1ImDp07DzK7MTiYjckMqSlEuZ2TmMnrMDJ6sDHzzUAgfdT6nUiWjiy8CwWkxdc4Qtx86aHUdECsvRBR6KgeB7YfGTsGeB2YlERK5LZUnKpUk/x7E78QLvPNgMv0puZseR2/Ryr8bUquLO3+fu5GJ6ptlxRKSwnFwh6isIaAffRMOvi81OJCJik8qSlDt7T15g8qo4HmzpT/dmfmbHkTtQwcWRCQNDSLpwldeW/Gp2HBG5Fc7uMGgu1AyDBY/CweVmJxIRKUBlScqVa1k5/GP+Lrw8nHm1VxOz40gRCA2swhPhdfl6eyKrDqSYHUdEboVLBRg8H3ybw7yhcPgnsxOJiOSjsiTlyier4jiQfJG3+jajkruT2XGkiPytc13qVa/ACwv36HQ8kdLGtRIM+QaqNYC5g+HoGrMTiYjkUVmScmPfqQt8siqOvi396dLYx+w4UoRcHK282785v6Wl8/byA2bHEZFb5VYFhiwGr2CYHQXHN5qdSEQEUFmSciL39LvdVPFw5tVejc2OI8WgZUAV/l+H2ny1OYFNR86YHUdEbpVHVRi6GCr6w5cD4MRWsxOJiKgsSfnw6doj7E9K480+Tans7mx2HCkmY+5vQFBVd577ejdXrmWZHUdEblWF6jBsCXhUgy/6wakdZicSkXJOZUnKvPjUy0z6OY4ezfyIaOJrdhwpRm7OVsb3a07C2St88KNuVitSKlWsAcO+zb2WKaYvJO8xO5GIlGMqS1KmGYbBy4v34mx14BWdflcutA6uyuDWAUzfcIy9Jy+YHUdEbkflWrkjTE7uMKsPpOhaRBExh8qSlGlLdp1i3eFU/tG1AT4VXc2OIyXk2W4N8fJw5sVFe8nOMcyOIyK3w6t27giTgxVm9YbUOLMTiUg5pLIkZdaFK5n8a+l+WtSsxCNtAs2OIyWokpsTL/VozK4T55m9JcHsOCJyu6rWgaFLICcbZvaCs8fMTiQi5YzKkpRZ4384wNnLGbzZtxlWB4vZcaSERYbUoF2dqrz7/QFOX8wwO46I3K7qDXNnycu6CjN7w/kTZicSkXJEZUnKpG3Hz/HV5gRGtK9NU/9KZscRE1gsFl6PbMrVzGzeWrbf7Dgicid8m8KQhZB+IXeEKe2U2YlEpJxQWZIyJzvH4OVFe/Gr5MqY++ubHUdMVLd6BUZ1qsPCHSfZeCTV7DgicidqtIRHvobLp3NHmC6lmJ1IRMoBlSUpc+ZuPcGvSWm88EAjPFwczY4jJnvy3roEeLnzyuJ9ZGbnmB1HRO5Erbth8AJIOwmzIuGybkAtIsVLZUnKlAtXMnnvhwO0qu1Fz+Z+ZscRO+DqZOWlHo2IS7nEl78cNzuOiNypwLbw8Bw4exRiIuHKWbMTiUgZprIkZcqEnw5x4Womr/VqgsWiSR0k1/2NfehQ15sPVxzi7OVrZscRkTsV3AmivoTTB+GLfrnXMomIFAOVJSkzDiZfJOaX4wxqHbIElAYAACAASURBVEDjGhXNjiN2xGKx8HLPxly+ls2EFYfMjiMiRaFuF3hoFiTvhi8HQMZFsxOJSBmksiRlgmEYvL50HxVcHHnm/gZmxxE71MDXk0daB/Dl5uMcSE4zO46IFIUG3aH/NEiMha+i4NoVsxOJSBmjsiRlwg/7ktkQd4ZnIupTxcPZ7Dhip/5+f30qujnx+re/YhiG2XFEpCg0joQHP4WEjTBnEGSmm51IRMoQlSUp9TKysnlz2X4a+HgyqFWA2XHEjlV2d2bM/fXZeOQMP/76m9lxRKSoNOsPkZ/A0VUwbwhk6UbUIlI0VJak1IvZdJwTZ6/yUs9GOFr1T1pubFCrAOr7VODN7/aTkZVtdhwRKSohg6DnRDj8Iyx4FLIzzU4kImWA3llKqXbhSiaTfo7jnnre3FOvmtlxpBRwtDrwYo/GJJy9wpe/JJgdR0SKUtgI6P4eHFgK34yE7CyzE4lIKaeyJKXa5NVxpKVnMrZ7I7OjSCnSsZ437etWZdLPh0lL16fPImVK62iIeAP2LYTFT0CORpBF5PapLEmplXjuCtM3xvNgy5qaKlxuicViYWz3Rpy7ksnU1UfMjiMiRa3d3+C+l2D3XPh2NOTkmJ1IREopuy9La9eupXfv3vj7+2OxWJgxY8ZNt5k3bx4hISG4u7sTGBjIe++9V2CdTz75hEaNGuHm5kaDBg2YNWtWvsdnzJiBxWIp8JWerll27MUHPx7CAjwTUd/sKFIKNfWvRGRIDaZtOEbyBf1ci5Q5Hf8JHZ+FHTGw7B+gGTBF5DY4mh3gZi5dukTTpk0ZOnQoQ4cOven6y5cvZ9CgQXz88cd069aN/fv3M3LkSNzc3PjrX/8KwJQpU3juuef47LPPaN26NVu2bGHkyJFUqVKFXr165e3L3d2dI0fyf+rs6upatE9QbsvekxdYuOMkj4fXoUZlN7PjSCn1j4gGLN+TzIQVhxjfv7nZcUSkqN37AmSlw8aPwdEFur4FFovZqUSkFLH7kaUHHniAt956i/79++PgcPO4MTEx9OrViyeeeILg4GB69OjB2LFjGT9+fN59VWJiYhg5ciQPP/wwwcHBREVFER0dzfjx4/Pty2Kx4Ovrm+9LzGcYBm8v308VdyceD69jdhwpxWp5uTOkbSDzt53g0G8XzY4j5cjkyZOpXbs2rq6uhIaGsm7dukJtd/jwYTw9PalQoUIxJywjLBa4/3Vo/Tj8MhlWjtMIk4jcErsvS7cqIyOjwOiPm5sbiYmJHD9+/IbrbNmyhczM/7vY++rVqwQGBlKzZk169uzJjh07rnvcTz/9lLCwMMLCwjh9+nQRPiP5s/VxqWyIO8Pf7qtHRVcns+NIKffXe+vi4eLI+OUHzI4i5cTcuXMZPXo0L7zwAjt27KBdu3Z0796dhIQbz8547do1oqKi6NixYwklLSMsFuj2NoQ9CusnwJrxN99GROR/ylxZ6tq1K4sWLeLHH38kJyeHQ4cO8cEHHwCQlJSUt860adPYunUrhmEQGxvL559/TmZmJqmpqQA0aNCAadOmsXjxYmbPno2rqyvt27fn8OHDNo8bHR1NbGwssbGxVKumKayLi2EYvP/jIWpUcmVwG92AVu5cFQ9nHg+vw8oDKWw5dtbsOFIOfPjhhwwfPpyRI0fSqFEjJk2ahJ+fH1OmTLnhds899xzNmzdnwIABJZS0DLFY4IEPIOQRWP02rPvQ7EQiUkqUubI0cuRInnrqKSIjI3F2dqZNmzZERUUBYLVaAXj55Zfp0aMH7dq1w8nJicjISIYNG5ZvnbZt2zJs2DBCQkK45557mDt3LnXq1GHSpEnmPDEB4Kf9Kew6cZ6nOtfDxdFqdhwpI0a0q001Txc++PFg3um6IsXh2rVrbNu2jYiIiHzLIyIi2Lhx43W3++6771i6dCkff/xxoY6jsx1scHCA3h9DswG5p+Nt+sTsRCJSCpS5smSxWBg/fjyXLl3i+PHjJCcn06pVKwCCgoKA3FPupk2bxpUrV4iPjychIYGgoCA8PT3x9va2uV+r1UpYWNh1R5ak+OXkGHzw40GCqrrTL7Sm2XGkDHFztvJkeB02HzvLxiNnzI4jZVhqairZ2dn4+PjkW+7j40NycrLNbZKSkhg5ciQxMTF4enoW6jg62+E6HKzQZyo0joQfXoAtn5mdSETsXJkrS7+zWq34+/vj7OzM7Nmzadu2LdWrV8+3jpOTEzVr1sRqtTJnzhx69ux53UkkDMNg9+7d+Pn5lUR8seG7PUkcSL7I013q42Qts/90xSQPtw6gRiVX3tfokpQAy59mZDMMo8Cy3z3yyCM8/vjjtGnTpiSilX1WR+j3X2jwQO6U4ttmmp1IROxYqZg6PC4uDoCcnBwSEhLYuXMnXl5eBAQEMHbsWLZs2cLKlSuB3E/t5s+fT3h4OBkZGUyfPp358+ezZs2avH0eOnSIzZs306ZNG86dO8eHH37I3r17mTnz/35hjhs3jjZt2lCvXj3S0tL4+OOP2b17903PKZfikZWdw4SfDlHfpwK9WtQwO46UQS6OVv56Xz1eWLiHVQdTuK+hz803ErlF3t7eWK3WAqNIKSkpBUabfvfzzz+zZs0axo0bB+QWq5ycHBwdHZk8eTLR0dHFnrvMsTrBgBkwZ1DuTWsdXaBFlNmpRMQO2f3H87GxsbRs2ZKWLVty9epVXn31VVq2bMkrr7wC5J6e8Od7Ic2aNYu7776b9u3bs2/fPlavXp13Kh5AdnY2H374IS1atOD+++8nPT2djRs35p2mB3D+/Hmio6Np1KgRERERnDx5krVr1+bbj5SchTtOcvT0Zcbc3wCrg+6RIcVjQFhNArzc+eDHQxpdkmLh7OxMaGgoK1asyLd8xYoVtGvXzuY2e/bsYefOnXlfr7/+Om5ubuzcuVOTPdwJRxcY+AXU7giLHoe9X5udSETskN2PLIWHh9/wTcuMGTPyfe/t7c2mTZtuuM9GjRrdcBpwgAkTJjBhwoRC55Ticy0rh49WHqaZfyW6NtGn/VJ8nKwOjO5cj2fm7+KHfcl0a6rTbqXojRkzhiFDhtCqVSvat2/P1KlTOXXqFKNGjQIocMZE06ZN820fGxuLg4NDgeVyG5zc4OHZ8EV/+HokWJ2hUa+bbyci5YbdjyyJzI09QeK5qzwTUf+65/SLFJU+Lf0JrubBhysOkZ2j0SUpegMHDmTixIm88cYbhISEsH79epYtW0ZgYCBg+4wJKUbOHjB4HvjfBfNHwKEfzE4kInZEZUnsWkZWNpNXxREaWIVO9TWjkxQ/q4OFv3epz6HfLrF09ymz40gZ9cQTTxAfH09GRgbbtm3Ld6PZGTNmEB8ff91thw8fzqVLl0ogZTni4gmDF4BPE5g7BOJWmp1IROyEypLYta+3nSTpQjpPda6nUSUpMT2a+VHfpwKfrIojR6NLIuWDW2UYshC86+VO/HBsndmJRMQOqCyJ3crMzmHy6jha1KxEx3q2738lUhwcHCw8eW9dDv12iR9/tX3vGxEpg9y9YOhiqBIEXw2EhF/MTiQiJlNZEru1aMdJEs9d5W/3aVRJSl7P5jWo7e3BpJ/jNDOeSHni4Q1Dl0BFv9yJHxK3mZ1IREyksiR2KTvHYPLqIzT2q0jnRtVvvoFIEbM6WHgivA77TqWx6mCK2XFEpCR5+uQWJo+q8EVfSNptdiIRMYnKktilpbtPcSz1Mn+7r65GlcQ0fVr6U7OKGx+v1OiSSLlTyT+3MDl7QkwfSNlvdiIRMYHKktidnByDf/8cR32fCnRt4mt2HCnHnKwOPB5eh50nzrMh7ozZcUSkpFUJhGFLwMEJZkXCGU3pLlLeqCyJ3fl+XzKHUy7x5L11cXDQqJKYq39oTXwrujLp58NmRxERM1StkzvpQ04WzOwF5+LNTiQiJUhlSeyKYRhM+jmOYG8PejavYXYcEVwcrTzWKZjNx86y5dhZs+OIiBmqN8wtTNcuw8zecOGk2YlEpISoLIld+flACvuT0nji3rpYNaokdiLq7gC8KzhrdEmkPPNtlnsfpqvnckeYLuq2AiLlgcqS2JX/rDmKf2U3IkM0qiT2w83Zyl/uCWbd4VT2JF4wO46ImMX/Lhi8ILcozYqEy6lmJxKRYqayJHZj2/FzbIk/y//rUBsnq/5pin0Z1DoATxdH/rNWF3iLlGsBrWHQ3Nxrl2L65I40iUiZpXekYjc+XXuESm5ODLy7ltlRRAqo6OrEoDYBLNuTRMKZK2bHEREz1b4Hor6E0wfhi36QnmZ2IhEpJipLYheOnL7Ej7/+xtC2gXi4OJodR8SmR9vXxupg4fP1R82OIiJmq9sFBsyEpF3w1UO5kz+ISJmjsiR24bO1R3G2OjCsXZDZUUSuy6eiK31b+jMv9gRnLmWYHUdEzNbwAej3OZzYDLOjIPOq2YlEpIipLInpUtLS+Wb7SQaE1cS7govZcURuKLpjMOmZOczadNzsKCJiD5r0hT5T4dg6mDsEsvRBikhZorIkppu+MZ6snBxG3hNsdhSRm6pb3ZMujXyYtSmeq9eyzY4jIvagxUDo9RHErYD5IyA70+xEIlJEVJbEVBfTM/nil+N0b+ZHYFUPs+OIFMqoTsGcu5LJ/G0nzI4iIvYidBh0fw8OfgffREOOPkwRKQtUlsRUs7ckcDE9i8c6alRJSo+wIC9CA6vw2bqjZGXnmB1HROxF62i4/3XY9w0sfhJy9PtBpLRTWRLTZGbnMG19PG2Dq9K8ZmWz44jcksc6BnPi7FWW7U02O4qI2JP2oyH8Bdg1G74bA4ZhdiIRuQMqS2KaZXuSSE5LZ2TH2mZHEbllXRr5EFzNg8/XHcXQmyER+aNOz0KHMbBtOnw/VoVJpBRTWRJTGIbBtPXHCPb2ILx+dbPjiNwyBwcLI9rXZnfiBbYnnDM7jojYE4sFOr8CbZ6AzVNg5TgVJpFSSmVJTLE94Ry7Ei8won0QDg4Ws+OI3JZ+d/lT0dWRaRvizY4iIvbGYoGub0HYo7B+Aqx51+xEInIbHM0OIOXTtPXxVHR1pF9oTbOjiNw2d2dHHm4dwOfrjnHy/FX8K7uZHUlE7InFAg98kHvvpdVvgaMLdHja7FQicgs0siQlLvHcFZbvTeLh1gG4O6uvS+k2tG0QALM2xZsZQ0TslYMD9J4ETfvBT6/CL1PNTiQit0BlSUrcrE3HsVgsDPvfm0yR0sy/shvdmvgye3MCV65lmR1HROyRgxX6/gca9oTvn4PY6WYnEpFCUlmSEnU5I4vZWxLo3tSXGjplScqIRzsEkZaexdfbT5odRUTsldUJ+k+DehGw9O+wa47ZiUSkEFSWpEQt2JbIxfQsHu2g6cKl7LgroAotalZi+oZj5ORoxisRuQ5HF3goBmp3hEWPw95vzE4kIjehsiQlJifHYPqGY7QMqMxdAVXMjiNSZCwWC492qM3R05dZc/i02XFExJ45ucLDs6FWG/hmJBz4zuxEInIDKktSYlYdTCH+zBUeba9RJSl7ujf1w6eiC9PWHzM7iojYO2cPGDQX/EJg/nA4/JPZiUTkOlSWpMTM3HQcn4oudGvqa3YUkSLn7OjA0LZBrDucSlzKRbPjiIi9c60IjyyAag1g7mA4usbsRCJig8qSlIhjqZdZe+g0g1oF4mTVPzspm6LuroWz1YGYTcfNjiIipYFbFRiyGKrUhtlRkPCL2YlE5E/0rlVKxBe/HMfRwcLDrWqZHUWk2FSt4EKP5n58vf0klzM0jbiIFIJHVRi6GCrWgC/6w8ltZicSkT9QWZJid/VaNvNjT9CtqS/VK7qaHUekWD3SJpBLGVks2qlpxEWkkDx9YOgScPeCmAcheY/ZiUTkf1SWpNgt2XWStPQshrQJNDuKSLG7K6AyTWpUJGbTcQxD04iLSCFV8odh34JzBZgVCSkHzE4kIqgsSTEzDINZm47TwMeTVrW9zI4jUuwsFgtD2gRyIPkiscfPmR1HREqTKoEwbAk4OMGs3nDmiNmJRMo9R7MDSNm2PeE8+06l8UafplgsFrPjiJSI3iE1eHPZfmI2HefuIH1IUBLWrl1bLPt1dnamTZs2xbJvEZuq1sm9hmnGAzCzF4xYBlWCzE4lUm6pLEmxitkUTwUXR/q29Dc7ikiJcXd2ZEBoLWJ+ief0xcZU83QxO1KZFx4eXiwfyPj6+nLypK4/kxJWveH/ClNPmNkbRizPPU1PREqcTsOTYpN6KYNle5Lpd5c/Hi7q5VK+DG4TQGa2wdytCWZHKTccHBwICAgosi/DMIrturPJkydTu3ZtXF1dCQ0NZd26ddddd/Xq1URGRuLn54e7uzvNmzdn2rRpxZJL7IhvMxjyDVw9l3tK3sXfzE4kUi7pHawUm7lbT3AtO4chbTWxg5Q/dapVoENdb77cnMCoTnVw1P3Fil21atU4duxYke3PwaF4/s7mzp3L6NGjmTx5Mh06dGDy5Ml0796dX3/9lYCAgALrb9y4kWbNmvHss8/i5+fHDz/8QHR0NK6urgwaNKhYMoqd8A+FwfNzZ8ibFQnDv8udalxESoz+95ZikZ1j8NXmBNrVqUrd6p5mxxExxZC2gSRdSGflgRSzo4gd+fDDDxk+fDgjR46kUaNGTJo0CT8/P6ZMmWJz/RdeeIE33niD9u3bExwczOOPP86DDz7I119/XcLJxRQBbWDQXDh3DGIic0eaRKTEqCxJsVh1IIWT569qunAp1zo3rE6NSq588ctxs6OUeb1796Z79+5Fvs9u3boV6T6vXbvGtm3biIiIyLc8IiKCjRs3Fno/aWlpVKlSpUiziR2rfQ9EfQmnD8IX/SA9zexEIuWGypIUi9lbEqjm6UKXxj5mRxExjaPVgUGtA1h3OJVjqZfNjlOmLVq0iOnTp9OkSZMi3WdRXxuUmppKdnY2Pj75fzf6+PiQnJxcqH0sXbqUlStXEh0dfd11Pv30U8LCwggLC+P06dN3lFnsRN0uMGAmJO2Crx6Ca/qdIlISVJakyCVduMqqgyk8FFYTJ12nIeXcQ2G1sDpYmKOJHkrEuXOl4xSlP8/cZxhGoWbz27BhA4MGDeLjjz+mVatW110vOjqa2NhYYmNjqVat2h3nFTvR8AHo9zmc2AyzoyDzqtmJRMo8vZOVIjdvayI5BgwMK3ihskh5U72iK/c1rM7X2xK5lpVjdhwxmbe3N1artcAoUkpKSoHRpj9bv3493bt35/XXX+fxxx8vzphiz5r0hT5T4Ng6mDsEsjLMTiRSpqksSZHKzsmdKvmeet4EVHU3O46IXXi4VS1SL11j5X5N/VveOTs7ExoayooVK/ItX7FiBe3atbvudmvXrqV79+68+uqrPP3008UdU+xdiyjoNRHiVsCCRyE70+xEImWWypIUqbWHT3PqQjpRd2tUSeR3nepXx6+SK7O3njA7itiBMWPGMGPGDD7//HP279/P6NGjOXXqFKNGjQJg7NixdO7cOW/91atX0717d0aNGsXgwYNJTk4mOTlZ1yKVd6HDoft7cGApLHwMcrLNTiRSJuk+S1KkZm9OoKqHM/drYgeRPFYHCwPCajHp58OcOHuFWl4adS3PBg4cyJkzZ3jjjTdISkqiadOmLFu2jMDA3NlDk5KSOHLkSN76M2bM4MqVK7z//vu8//77ecsDAwOJj48v6fhiT1pHQ9ZVWPEKWF0g8hMopvuDiZRX+omSIpOSlns/mf6hNXF21D8tkT8aeHctAObFanSpOKWlpfHOO++wfPlyTp06ZXac63riiSeIj48nIyODbdu20bFjx7zHZsyYka8EzZgxA8MwCnypKAkA7UdD+Auw6yv4bgwYhtmJRMoUjSxJkZm/LZHsHCPvTaGI/B//ym50ql+NebEnGN25Ho6aKbJYXL16lRdffDHv+6pVqxISEkJISAgtWrQgJCSERo0a4aBP36Us6fRs7gjT+gng6Ard3oZCzK4oIjensiRFIifHYM7WBNoEexFcrYLZcUTsUtTdAYz6YhurD57WPciKiZOTE97e3nmjSqmpqfz000+sXLkybx0XFxcaN26cV6JCQkJo3rw5FStWNCu2yJ2xWKDzq5CZDpungJNr7vcqTCJ37IZlae3atcVyUGdnZ9q0aVMs+xZzbDxyhhNnr/KPiAZmRxGxW50bVce7ggtztiaoLBUTLy8vEhMTOXPmDDt37sz72rVrFwcOHCArK4v09HS2b9/Ojh078m0bFBREy5YtWbBggUnpRe6AxZI7opSV/r8RJjcIf87sVCKl3g3LUnh4eKFuknerfH19OXnyZJHvV8wze0sCld2d6NrE1+woInbLyerAgLCa/GfNEZIuXMWvkpvZkcqsqlWr0rlz53yzyl27do29e/eya9euvBK1e/duLly4AMCxY8d0HZCUbhYL9PgQsq/B6rdyR5jajzY7lUipdtPT8BwcHKhZs2aRHfD48eMYuviwTEm9lMGPvyYztG0Qrk5Ws+OI2LWou2sxZfUR5scm8lTnembHKVecnZ256667uOuuu/Itj4+PzzcCJVKqOThA70m5I0wrXsm9hqn1Y2anEim1blqWqlWrxrFjx4rsgLqotuxZtOMkmdma2EGkMAKretC+blXmbj3BX++ti4ODrikwW1BQEEFBQfTp08fsKCJFw8EKff8DWRmw/FmwOkPYCLNTiZRKai5yRwzDYH5sIi1qVaa+j6fZcURKhYfCanHy/FU2HT1jdhQRKausTtB/GtS9H5b+HXbNMTuRSKl0w5Gl3r174+XlVaQHLI59inn2nkzj4G8XeaNPU7OjiJQaXZv44unqyIJtibSv6212nDIjMjJS18OK/JGjCwyMga8egkWP544wNX3Q7FQipcoNR5YWLVrE66+/XqQHXLRoEdOmTSv0+mvXrqV37974+/tjsViYMWPGTbeZN28eISEhuLu7ExgYyHvvvVdgnU8++YRGjRrh5uZGgwYNmDVrVoF1vv76axo3bpw3zezChQsLnbu8mL/tBC6ODvRqUcPsKCKlhquTlV4tarB8bxJp6ZlmxykzFi5cyJYtW/K+1/VHIoCTGzw8B2q1hm9GwoHvzE4kUqrc9DS8gIAAmjRpUhJZbLp06RJNmzblo48+ws3t5jNHLV++nEGDBhEdHc3evXuZPHkyEyZM4N///nfeOlOmTOG5557jlVdeYd++fYwbN44nn3ySb7/9Nm+dTZs2MXDgQAYPHszOnTsZPHgwAwYMYPPmzcXyPEuj9MxsFu88RdcmvlRyczI7jkipMiC0JumZOSzbnWR2lDKrT58+nD171uwYIuZz9oBB88CvBcwfDnE/mZ1IpNQo1DVL586dK+4c1/XAAw/w1ltv0b9//0JNDhETE0OvXr144oknCA4OpkePHowdO5bx48fnzcIXExPDyJEjefjhhwkODiYqKoro6GjGjx+ft5+JEydy77338uKLL9KoUSNefPFFwsPDmThxYrE919Lmp/2/ceFqJv1Di262RJHyIqRWZepU82D+tkSzo5RZx48fp3///mRnZxd6mxMnThRjIhETuVaER76Gag1gzmA4Vjz30hQpa8rcBA8ZGRm4urrmW+bm5kZiYiLHjx+/4TpbtmwhMzP3lJhNmzYRERGRb52uXbuycePGYkxfusyPTcSvkquuuRC5DRaLhQFhtdh2/BxHT18yO06ZFBkZyZo1a3jqqacKtf6GDRu4++67izmViIncqsCQxVClNnw1EBJ+MTuRiN0rc2Wpa9euLFq0iB9//JGcnBwOHTrEBx98AEBSUlLeOtOmTWPr1q0YhkFsbCyff/45mZmZpKamApCcnIyPj0++ffv4+JCcnGzzuJ9++ilhYWGEhYVx+vTpYnyG9iH5QjrrDp+m3101sWrqY5Hb8mBLfxwssECjS8UiJiaG+vXrM3XqVD7//PMbrjt9+nS6dOlSLn5/SznnURWGLoaKNeCL/nBym9mJROxamStLI0eO5KmnniIyMhJnZ2fatGlDVFQUAFZr7g1TX375ZXr06EG7du1wcnIiMjKSYcOG5VsHcj/5/SPDMAos+110dDSxsbHExsZSrVq14nhqduWbHYnkGOgUPJE7UL2iK53qV+Ob7SfJztHNuotahQoVWLRoERUqVOCvf/0rmzZtKrCOYRiMGTOGv/zlL2RkZBR6FEqkVPP0gaFLwN0LYh6E5D1mJxKxW2WuLFksFsaPH8+lS5c4fvw4ycnJtGrVCsi98SDknnI3bdo0rly5Qnx8PAkJCQQFBeHp6Ym3d+4pZb6+vgVGkVJSUgqMNpVHhmGwIDaRVkFeBHl7mB1HpFQbEFaL5LR01selmh2lTPp9ttPMzEz69evHqVOn8h5LS0uje/fufPTRRzg5OfHf//6XCRMmmJhWpARV8odh3+ZO/jArElIOmJ1IxC4VqiylpaXxzjvvsHz58nz/0dgzq9WKv78/zs7OzJ49m7Zt21K9evV86zg5OVGzZk2sVitz5syhZ8+eeZNItG3blhUrVuRbf8WKFbRr167EnoO92p5wjqOpl+kfplElkTvVuVF1Krs76VS8YhQZGclLL71EcnIyffr0ISMjg0OHDtG6dWt+/PFHqlevzqpVqxgxYoTZUUVKVpXA3MLk4AizesOZI2YnErE7N7wp7e+uXr3Kiy++mPd91apVCQkJISQkhBYtWvD/2bvz8KjK+/3j78lkTyBAVghLAgQIIGsEEhZRNqGsyqKAoL8W1FqEYvEraluxVlQqiKIoLuyCUBVERVlkh4ChhH1LkCWQkAUIBELW8/tjJDVlhyRnZnK/rmuuXjmcc+YesJP5zPM8n6dZs2ZERkbeUre625WVlUVCQgIAhYWFHD9+nPj4eKpUqULNmjUZP34827ZtY/Xq1QCkp6ezePFiOnbsSE5ODjNnzmTx4sWsW7eu6J6HDh1i69attGnThrNnzzJ58mT27NnD7Nmzi84ZPXo0HTp0YOLEifTrmbLgOAAAIABJREFU14+vv/6aNWvWsHHjxhJ/jY5mcVwS3u5WfndPVbOjiDg8D1crfZpWY8HPJ8jMzlMb/js0ZcqUot9LlStXvurPJ0yYwPbt21m+fDk9e/Zk+/btnDt3jpYtW7JkyRJCQ0NNSC1iB/zr2KbkzeoBs3vDE9/biigRsTFuwmKxGB4eHkZoaKhhsViKPVxcXIoeXl5eRsuWLY3f//73xnvvvWds2LDByMzMvNntb2rNmjUGcNVj+PDhhmEYxvDhw41atWoVnZ+Wlma0adPG8PHxMby9vY1OnToZsbGxxe65b98+o1mzZoaXl5dRsWJFo0+fPsaBAweueu7Fixcb9evXN9zc3IwGDRoYX3755S1lbtmy5R2/Xnt3KSffaPS3H4yxX8SbHUXEaew6cc6o9X/fGnO3HDU7SqkqzffG3/5OqlWrltG3b1/jlVdeMZYuXWocO3bMMAzDyMzMNOrVq2e4uLgYFovFGDx4sJGdnV1qmeyFM/9OkhJ0aqdhTKxhGFPuMYxzSWanESlVt/O+aDEM44aril1cXAgJCeHUqVNkZGQQHx9f9Ni5cycHDhwgPz+/6Pz/bYAQFhZG8+bN+fe//13ihZ69ioqKIi4uzuwYpWJp/ElGL4xnwYg2RNfxNzuOiFMwDIPuUzfg4WZl6TNtzY5TakrzvbFnz57s3LmTkydPFh377e+jSpUq0axZM9zd3fnxxx8ZOnQon332Ga6utzTBwqE58+8kKWEnt8PsPrYGEI9/b/tfESd0O++Lt1UsXUtubi579uxh586dRUXUrl27yMzM/O+TWCy3tSmgo3PmX0xPzNzGwZQLbPy/B3BRy3CREvPx+iP88/v9/PTcfdQO9DU7Tqkoi/fGM2fOsGPHjmK/k377pZ7FYinqbOrm5kaDBg1o2rRp0aNJkyZO19HUmX8nSSk4tgXmPQSVasHj39lajYs4mdt5X7zrr9Tc3d1p0aIFLVq0KHb86NGjxUagxPGlZ+Ww/nA6IzvUVqEkUsJ6N6vG68v3syT+FGO71DM7jsOqUqUKnTp1olOnTkXHbvSl3q5du9i1axfz5s0DbMXUb2dLiJQ7taLh0YXw+UCY2xeGf2PbzFaknCq1+QdhYWGEhYXRt2/f0noKKWPLdp6ioNCgX3MthBYpacEVPWlbJ4AlO07y584R193TTW7f9b7U++WXX4oVUDt27ODEiRMmpRSxI7Xvg0HzYcEjto1rhy0BjwpmpxIxhfNP1pYSs2THSRpVq0i9YL1hipSGfs1DeW7xTv5z/Cwta1UxO47TCw8PJzw8vNiXer+dQi5SrkV0hgGzYNEwmD8Qhv7btieTSDlz017fffr0oXp17adT3iWmZbEzKVOjSiKlqFvjEDzdXPh6x8mbnyylws/Pz+wIIvYjsic8/DGciIWFgyHvstmJRMrcTYulr7/+mm3btpVFFrFjS3acxMUCvZtWMzuKiNPy9XCla8MQvt2VTG5+odlxRESg8cPQ5304stY2ypSfa3YikTJV8rvIitMxDIOvd5ykbd0Agip6mh1HxKn1ax7KuUt5rDuUZnYUERGbZoOh5xQ4/CN8+XsoUBMUKT9KrFhav349U6ZM4YcffiipW4qd2H7sLElnszUFT6QMtI8IwN/Hna93JJkdxaG4uLgQGlqy71GlcU8RhxX1/+DBN2D/N7DkKSgsP1vCSPlWIg0ePvvsM0aMGFG0d8VDDz3E4sWL+eGHH5g8eTInTpwgJCSEAQMG8OSTT2K1WkviaaWMfLXjJF5uVro1CjE7iojTc7W60KtpNT7fdpzM7Dz8vNzMjuQwbrJtoN3cU8RhtXka8rJh9QRw9YBe74GLJimJcyuRYmnq1KnUrFmTqVOnkpyczPjx45kwYQKvvfYarq6uBAcHs3nzZtavX893333Ht99+q7a4DiInv4DvdiXTrVEwPh5qnihSFvo1D2XW5qP8sCeZQffWNDuOwygoKODEiRMqcERKU/uxkH8Z1r0Jrp7Q41+gz3TixErk0++RI0f4+9//Tu/evW03dXXlySefpEOHDixdupQKFSqQl5fH22+/zYsvvshHH33EU089VRJPLaVs7cE0MrPz6KspeCJlpkl1P2oH+PD1jpMqlm5Deno6YWFhJXY/faknch0dx9tGmDa/ayuYur6mgkmcVomMnV68eJGqVasW/Xz//fdTWFjIU089RYUKtj153NzceOGFF3jooYeYM2dOSTytlIElO04S4OtBu7oBZkcRKTcsFgv9mocSe+QMJ89lmx3HYRiGUeIPEbkGiwW6vAqtnoQt02DNP81OJFJqSmyi6W+/gbuyT0VAwNUfsDt27MjevXtL6mmlFGVeymP1/lR6N62Gq1VzkkXKUp9mttHcpfHac+lWFBYWlsrj1KlTZr80EftksdgaPrQYBusnwfp/mZ1IpFSU2Cfg06dPU1h4831BKleuTFZWVkk9rZSi5XuSyS0opG9z7a0kUtZq+nsTVasyS7RBrYjYKxcX6PkONBkEP/0DtrxvdiKREldixdJf/vIXKlSoQHR0NM8//zwWi4Vjx45x+bJ2e3ZUy3adIjzAh3tCtaO9iBl6N6vGodNZHEy5YHYUEZFrc7FCnw+gYV/48UX4+ROzE4mUqBJp8LBmzRp27txZ9Pj8888xDIM//OEPjBgxgpo1axIZGUlkZCQZGRkl8ZRSylIvXGZLYgZ/ur+uFjmLmKR746q88s1evt11ivoh9c2OIyJybVZXePgTyM+B756zNX1oPtTsVCIlokSKpfvuu4/77ruv6OeCggIOHjxYrIDasWMHy5cvB9RhyBEs351CoQG9mmoKnohZAit40LZuAMt2nmJsl3p67xQR+2V1gwGzYOGjsPRPtoLpnv5mpxK5a7ddLO3cuZOmTZve8Byr1UrDhg1p2LAhjz76aNHxtLS0ouJJ7Ns3O0/RIKQCEcEVzI4iUq71alKN57/cxe6TmTSpXsnsOCIi1+fmCYPmw+cD4auRYHWHhr3NTiVyV257zVLfvn05c+bMHT1ZYGAgnTt35rnnnruj66VsJJ29xPZjZzWqJGIHujUKwc1qYdlOdWUTEQfg7g2PLoTQlvDv/weHVpidSOSu3HaxdOzYMfr3709BQcEtX3PixInbfRox0Xe7kgHbN9oiYi4/bzfuqxfIt7uSKSzUvj+3Izc31+wI1/XBBx8QHh6Op6cnLVu2ZMOGDTc8f/fu3dx33314eXkRGhrKq6++qn2gxH55+MLQf0NwI/hiKCSuMTuRyB277WKpT58+rFu3jmefffaWzt+0aRP33nvvbQcT8yzbdYqmNSpR09/b7Cgigm3tYHLmZbYfP2t2FIfi4+ND48aN7e4Luy+++ILRo0fz4osvsmPHDmJiYujevTvHjx+/5vnnz5+nS5cuBAcH8/PPP/Puu+8yadIkJk+eXMbJRW6Dpx889jX414UFj8KxzWYnErkjt10szZ07l3r16vHhhx/yySc3bg85c+ZMOnfuTFpa2h0HlLJ1JC2LPSfP06tJVbOjiMivOkcG4+nmoql4t8nNzY1jx45Ro0YNs6MUM3nyZB5//HFGjBhBZGQk7733HlWrVmX69OnXPH/+/PlcunSJ2bNn07hxYx5++GH+7//+j8mTJ2t0SeybdxUYthQq1YD5AyApzuxEIrfttoslX19flixZgq+vL3/605/YsmXLVecYhsHYsWP5wx/+QE5Ozi2PQon5vt2VjMUCPTUFT8Ru+Hi40qlBMN/vTia/4Oabf4tN7dq17a6YyM3NZfv27XTt2rXY8a5du7J587W/ed+yZQvt27fHy8ur6Fi3bt04deoUR48eveY1M2bMICoqiqioKH1hKebyDbQVTD4BMO8hSFaTL3Esd7Qpbf369ZkzZw55eXk8/PDDnDr13287z58/T/fu3Zk6dSpubm58+umnTJkypcQCS+kxDINvdp6iVVgVQvw8zY4jIr/Rq2k10rNy2XJEe9XdqoEDB5Kdnc369evNjlIkPT2dgoICgoODix0PDg4mJSXlmtekpKRc8/wrf3YtI0eOJC4ujri4OAIDA0sguchdqFgNhi8Dj4owpy+c3md2IpFbdkfFEtjWLr388sukpKTQt29fcnJyOHToEK1bt2bFihUEBQWxZs0annjiiZLMK6XoQMoFElKz1AVPxA51rB+Ir4erpuLdhueee46aNWsyatQosrKyzI5TzP/umWUYxg330brW+dc6LmK3KtW0jTBZ3WFOH0hPMDuRyC25YbE0ZcoU1qxZw9mz115UPGHCBHr06MH27dvp2bMnbdq04eDBg7Rs2ZK4uDiio6NLJbSUjmU7T2F1sdC9cYjZUUTkf3i6WenaKJgf9qSQk3/r3UjLs2nTpvHss89y5MgRoqKirjvNrSwFBARgtVqvGhFKTU29avToipCQkGueD1z3GhG75F8Hhn8DRiHM7gVnfjE7kchN3bBYeu655+jcuTMBAQGEhYXRr18/JkyYwDfffFPUtefzzz+nbt26/PTTT5w7d45HH32UDRs2EBoaWiYvQEqGYRgs23WKtnUD8Pf1MDuOiFxDr6bVOH85nw2H0s2O4hDGjx/PX/7yFy5dusThw4fp0KEDbdu25a233iI2NpZLly6VeSZ3d3datmzJypUrix1fuXIlMTEx17wmOjqaDRs2cPny5WLnV6tWjbCwsNKMK1LyAuvbRpjys2FOb8hMMjuRyA3dsFjq0aMH1apVwzAMjh8/ztKlS3n11Vfp168f4eHh+Pv7069fv6JFtEOHDmX27Nl4emq9i6PZmZTJiTPZ6oInYsfa1Q2gkrcby3ZpKt6t6N27d1ExYRgGhYWFbNmyhfHjx9O2bVv8/PyIjIzk0Ucf5a233mLFihVFIzalaezYscyaNYtPPvmE/fv3M3r0aE6dOsVTTz0F2Iq8Tp06FZ0/ePBgvL29efzxx9mzZw9fffUVb7zxBmPHjtU0PHFMIY1tbcWzz9lGmC5ce+2diD1wvdEffvvttwCcOXOGHTt2sHPnTuLj44mPj+fAgQOcPXuWNWvWFL1Zz58/n0WLFtGgQQOaNm1a9GjSpIkWmNq5ZTtP4W51oWsjTcETsVduVhe6N67K0viTZOcW4OVuNTuSXVuyZAkAFy5cYNeuXezcubPosWfPHi5dusTBgwc5ePAgixYtAmxrgPLz80s116BBg8jIyOC1114jOTmZxo0b8/3331OrVi0AkpOTSUxMLDrfz8+PlStX8swzzxAVFUXlypV57rnnGDt2bKnmFClV1ZrDkH/D3H62NUyPf2frmCdiZyzGHfZVzc3NZc+ePcUKqF27dpGZmfnfm/9aRJXFLx97EhUVRVyc4+wlUFho0O7Nn2hYrSKfDNcGwiL2bFNCOkM+2cqHQ1vwYGPHGgm2p/dGwzBISEgoVkDFx8eTlJREYaFztWe3p793kav8sgHm9wf/CNt6Ju8qZieScuB23hdvOLJ0I+7u7rRo0YIWLVoUO/7LL78UK6B27Nhhd7unS3E7k85xKvMyz3Wtb3YUEbmJ1uFVqOLjzve7UxyuWLInFouFiIgIIiIi6N+/f9Hxc+fOmZhKpBwKbw+PfA4LHoF5D8OwJeDpZ3YqkSJ3XCxdT3h4OOHh4fTt27fo2G9Hm8T+LN+TgpvVQueG6qokYu9crS50axTMN/GnuJxXgKebpuKVpEqVKpkdQaT8qdsJBs6BL4bC/IEw9Evw8DU7lQhwF/ss3Q4/P31DYK8Mw+C7Xcm0qxuAn5eb2XFE5BZ0b1yVi7kFrD+UZnYUh3D27Fl2797Nhg0biIuLu+5GriJiovrd4eFPIGmbbZQpL9vsRCJAGRVLYr92n8zk5Llsetyj6TwijiK6jj+VvN1Yvkcf+m9k6dKltGnThsDAQJo1a0bHjh1p3bo1oaGh+Pv706dPH2bMmMH58+fNjioiAI36Qd8P4ehG2yhTfo7ZiURuXCy5uLiU+H5JpXFPuXPf7U7G1cVCF03BE3EYblYXujYMZtW+09qg9jrGjRvHQw89xLZt2ygsLMTX15dq1arh4+ODYRicPXuWZcuW8fTTTxMaGsqECRPIzc01O7aINB0EvaZCwipY/AQU5JmdSMq5m44s3WGzvDK/p9w+wzBYvjuFmLoBVPJ2NzuOiNyG7vdU5UJOPhsPa4Pa//Xjjz/y9ttvYxgGY8aMITExkczMTE6cOMHatWsJDw+natWqvPjii7Ru3ZqLFy/y6quv0qlTJ62xFbEHLYdD90lw8Dv4aiQU6kshMc9NGzwUFBRw4sQJFThOaO+p8xw/c4ln7q9jdhQRuU1t6wRQ0dOV73en0ClSI8O/NWvWLCwWCy+++CL/+Mc/io5nZWXRs2dP6taty7Jly4rW0+7atYunnnqKTZs2MWzYMJYuXWpWdBG5ovVIyM+GlX8DVw/o8wG4aPWIlL2bFkvp6elFO6CXBO02bj++352M1cVCl4baiFbE0bi7utClYQgr96WQm38P7q76EHFFQkICAE8//XSx4/PmzeP06dOsWrWqWOOhJk2asH79evr378+yZcvYunUrrVu3LtPMInINbUdD3mVY+zq4ekLPKaDPkVLGbmkaXkk/xHyGYfD97mRi6vhTxUdT8EQcUY97Qjh/OZ9NiZqK91suv377XKVK8c0tDx8+DEDNmjWvusbV1ZUPPvgAwzDYuHFj6YcUkVtz3/PQ7s+wfSb8MB70OVLK2A2LpcLCwlJ5nDp1qqxen1zHgZQLHM24RHdtainisNpFBFDBw5Xlu5PNjmJXateujWEY7Nixo9jx0NBQDMNg4sSJ17wuJ8fWeUvbXYjYEYsFOv0dWj8NW6fD6gkqmKRMad5GOfX97mRcLNC1kdY6iDgqD1crnRsGs2LfafIKCs2OYzdeeOEFZs6cedUGs4MHD8bPz4833niDmJgYpk2bxrZt20hISGDFihUMHDgQV1dX2rdvb1JyEbkmiwUenAgtn4CNU2DdW2YnknLkpmuWxPkYhsF3u5NpU9ufAF8Ps+OIyF3o3jiEr3ecZEtiBh3qBZodxy40bdqUpk2bXnU8JCSE77//ngEDBhAbG8vWrVuL/blhGLz44ovUr1+/rKKKyK2yWOB3k217L619Hdw8bWuaREqZiqVy6HBqFkfSLvJE23Czo4jIXepQLxAfdyvL9ySrWLoF0dHRHD58mLlz57J8+XIOHz5Mfn4+devWZfjw4QwYMMDsiCJyPS4u0Gca5F/+tUueJ7R+0uxU4uRULJVD3+1Kto1oN1IXPBFH5+lmpVNkMD/uPc0/+hTiai2/s6sNw7iljqteXl6MHDmSkSNHlkEqESlRLlZ4aAYU5MLy521txVs+bnYqcWLl97dqObZ8TzL3hlUhsIKm4Ik4gx73hHDmYi5bfzljdhRTBQUFMWzYML744gttLivizKxu0P8zqNsZlo2BnV+YnUicmIqlcuaX9IscOp1F98YaVRJxFvfVC8LTzYUf96aYHcVUZ8+eZd68eQwePJigoCAeeOAB3n77bQ4ePGh2NBEpaa4eMGgehLeHJU/B3iVmJxInpWKpnFnx64epLg3VBU/EWXi5W2kfEciKvacpLCy/LXXT0tKYN28eAwcOxNfXl7Vr1/L888/TsGFDIiIiGDt2LKtXryY/P9/sqCJSEty84NGFUL0VfPl7OLjc7ETihG5aLL300ktkZWWVRRYpAz/uTaFxaEWqV/Y2O4qIlKBujUJIOX+Z3SfL7/SzypUrM3jwYBYsWEBqaipr165l7Nix1K9fn8TERN555x26du1KQEAAgwYNYs6cOaSna0NfEYfm7gNDFkNIE1g0DBJWm51InMxNi6WJEydSr149Pv74YwxtAubQUs9f5j/Hz9GtoabgiTibzpFBWF0s5X4q3hVWq5UOHTowadIk9u3bV1QsPfDAA1y+fJnFixfzxBNPULVqVWJiYnj99dfZtWuX2bFF5E54VoShX0JAfVg4BI5uNDuROJGbFks+Pj6kpKTw1FNP0axZM1auXFkWuaQUrNh3GoCu6oIn4nQqebvTOryKiqXrCA8P59lnn2XlypWkp6ezePFiHnvsMfz9/YmNjeWvf/0rzZs3p1atWjzzzDN8//335OTkmB1bRG6VdxUYtgQq14L5A+HENrMTiZO4abGUmJjIk08+idVqZffu3Tz44IP06NGD/fv3l0U+KUEr9p0mzN+besG+ZkcRkVLQrVEIiWkXSUgtn1Onb3XauK+vLw8//DCzZs0iOTmZLVu2MH78eO655x5OnDjB9OnT6dWrF2+++WYZpBaREuMTAMOWQoVgmPcwnNphdiJxAjctloKCgpg+fTp79uyhd+/eGIbBjz/+SNOmTfnjH/9IWlpaWeSUu3T+ch5bEtPp1ijklvYhERHH07WRrXFLeR1dupNp4xaLhdatW/Paa68RHx/PiRMn+OCDD+jRowfe3lrbKeJwKoTA8GXgVQnm9oOUPWYnEgd3y93w6tWrx5IlS1i/fj333nsv+fn5fPTRR0RERPDWW2+Rm5tbmjnlLq05kEpegaEpeCJOrKqfF02r+xV1vSxvSmLaeGhoKE899RTLli3jL3/5SymkFJFS51fdVjC5esGcPpB2yOxE4sBuu3V4u3btiI2NZeHChYSHh3P+/HnGjx9PgwYN+OILbQpmr37cm0JgBQ+a16hkdhQRKUVdG4WwMymT5Mxss6OUOU0bF5EilcNsBZPFBeb0hjNHzE4kDuqO91kaOHAgBw4cYMqUKfj7+3P06FEGDx5MTEwMsbGxJZlR7tLlvALWHkyjS8NgXFw0BU/EmXX7dfR4xd7TJicpe5o2LiLFBNS1rWHKz4HZveHccbMTiQO6q01pXV1dGT16NAkJCTz//PN4eHgQGxtL27ZteeSRRzh69GgJxZS7sSkhnUu5BUUfokTEedUN8qV2oA8r9pXPqXigaeMi8hvBDW1d8nLO2wqm86fMTiQO5q6KpSsqVqzIG2+8waFDh3jsscewWCwsWrSIyMhIXnjhBS5cuFASTyN36Me9KVTwcCW6tr/ZUUSkDHRrFELskTOcu1S+iwJNGxcRAKo2haFfwcV02xqmLI0yy60rkWLpiurVqzN79mz+85//0KVLF3Jycpg0aRIREREl+TRyG/ILClm1P5X7GwTh7lqi/9wiYqe6NQqhoNBg9f5Us6PYBU0bFxGqR8GQRZCZZCuYLp0xO5E4iBL99JyRkcGGDRuIjY2lQYMGBAYGYhjGXc0TX79+Pb179yY0NBSLxcKsWbNues2iRYto1qwZ3t7e1KpVi0mTJl11zueff150TkhICEOHDiUl5b/TVmbNmoXFYrnqcfny5Tt+LWaIO3aWMxdzNQVPpBxpEupHSEXPcttC/Fo0bVxEqBUDjy6AjARbW/Hsc2YnEgdwR8VSSkoKa9as4f333+eZZ57h/vvvJzg4mKCgIDp27MjTTz/NtGnTSmQxbVZWFo0bN2bq1Kl4eXnd9Pzly5czePBgRo4cyZ49e/jggw+YMmUK06ZNKzpn06ZNPPbYYwwfPpy9e/eyZMkS9u3bx5AhQ4rdy9vbm+Tk5GIPT0/Pu35NZWnF3tO4u7rQsX6g2VFEpIy4uFjo2iiY9YfTyM4tMDuOXdG0cZFyrnZHGDQPTu+F+QMgR/+flxtzvdkJK1asYN++fUWP/fv3c+5c8Ur8t5v/eXh4UL9+fRo1akTjxo2LHneqR48e9OjRA4DHH3/8pufPnTuXXr168cc//hGA2rVrM378eN58802eeeYZLBYLW7ZsoXr16vz5z38GIDw8nFGjRjFq1Khi97JYLISEOO6IjGEY/Lg3hfZ1A/DxuOk/tYg4kW6NQpiz5RjrDqXxYGPHfR8rLVemjT/33HOMGzeOlStXMmnSJGbNmlVsloGIOKF6XaH/Z7D4cfj8ERiyGNy1CbVc200/QT/44INYLLZ2078tiqxWK3Xr1qVx48bFCqOIiAisVmvpJb6JnJycq0Z/vLy8SEpK4tixY4SFhdG2bVtefPFFli1bRs+ePcnIyGDhwoVFRdkV2dnZ1KpVi4KCApo1a8Y//vEPmjdvXpYv567sPXWek+eyebZTXbOjiEgZaxVehYqerqzaf1rF0jVkZGQUfQHYoEED4uPjSUtLU3txkfKiYW/o9xF8NQK+GAKPLAA3x5o9JGXjloYbatWqVWyUqFGjRkRGRuLu7l7a+W5bt27dGD16NCtWrKBz584kJCTw9ttvA5CcnExYWBjR0dEsWLCAIUOGkJ2dTX5+Pl26dGH27NlF96lfvz6fffYZTZs25cKFC0ydOpW2bduyc+fOazasmDFjBjNmzACwm1+2K/edxmKBTpHBZkcRkTLmZnXh/gZB/HQglYJCA2s53WMtJSWF/fv3F5shsW/fPtLT04ud99svA0WknGgyAApyYOkztlGmgXPA1f4+24q5blosXbhwAR8fn7LIUiJGjBhBYmIiffr0IS8vj4oVKzJ69GheeeWVohGvffv28eyzz/LXv/6Vbt26kZyczLhx43jyySeZM2cOANHR0URHRxfdNyYmhmbNmvHee+/x7rvvXvW8I0eOZOTIkQBERUWVwSu9udUHTtOiZmUCfD3MjiIiJugUGczS+FPEnzhLy1pVzI5T6syeNi4iDqj5UMjLhu//Al/9AR7+DKxauiD/ddP/GhypUALbOqM333yT119/nZSUFAIDA1m9ejUAYWFhAEycOJFWrVoxbtw4AJo0aYKPjw/t27fnn//8JzVq1LjqvlarlaioKA4fPlxmr+VuJGdms+fkeZ5/sL7ZUUTEJPfVC8TVxcLKfanlolhytGnjImInWo2A/BxY8RK4/hH6TgcXvTeIjdOWzlarldDQUAAWLFhAdHQ0QUFBAFy6dOmqX5BXfr7eVAzDMNi1axdNmzYtxdQl58r+Kl00BU+k3PLzcqN17Sqs3n+aF7o3MDtOmXCkaeMiYkdi/gT52fDTa+D5xAeuAAAgAElEQVTqAT2ngov2pxQHKJaysrJISEgAoLCwkOPHjxMfH0+VKlWoWbMm48ePZ9u2bUWjR+np6SxevJiOHTuSk5PDzJkzWbx4MevWrSu6Z69evRgxYgTTp08vmoY3ZswYWrRoQc2aNQGYMGECbdq0ISIigvPnz/Puu++ya9cupk+fXvZ/CXdg9f7T1KziTd0gX7OjiIiJOjUI5tVv93Es4yK1/B1rpsDtcrRp4yJiZzqMg7zLsOFf4OoJ3d8CS/lc7yn/Zfclc1xcHM2bN6d58+ZkZ2fz97//nebNm/O3v/0NsDVtSExMLHbNnDlzuPfee2nbti179+5l7dq1tGrVqujPH3/8cSZPnsy0adNo3Lgx/fv3JyIigqVLlxadc+7cOUaOHElkZCRdu3bl5MmTrF+/vth97NWl3Hw2JWbQOTK4aEqKiJRPnX8dXV7162izM3OEQiknJ4dRo0YREBCAj48PvXv3Jikp6YbXfPzxx7Rv354qVapQqVIl7r//fjZu3FhGiUXKmQdehug/wbYZsPJvoOYv5Z7FUAugEhcVFUVcXJxpz//j3hSenLudz//Qmpi6AablEBH70HXKOvx9PFgwso2pOcx6bzx79ixJSUmcO3cOLy8vqlevbtoeek8//TRLly5l9uzZ+Pv7M3bsWM6dO8f27duvu35qyJAhREdH07ZtW7y9vZkyZQpz584lPj7+mt1Z/5fZv5NEHI5h2Bo+/PwJ3Pd/cP+LZieSEnY774t2Pw1Pbt/q/aep4OnKveHOv6BbRG6uc2QwH60/QualPPy83cyOU2aWLl3KxIkTiYuLu2o9aqVKlWjXrh2/+93veOSRR6hYsWKp58nMzOTTTz9l5syZdOnSBbBtpF6rVi1WrVpFt27drnnd/Pnzi/08ffp0lixZwg8//HBLxZKI3CaLBbpPgvzLsO5N25S89mPNTiUmsftpeHJ7CgsNfjqQSsf6QbhZ9c8rIrYW4gWFBmsPOf9UvCvGjRvHQw89xLZt2ygsLMTX15dq1arh4+ODYRicPXuWZcuW8fTTTxMaGsqECRPIzc0t1Uzbt28nLy+Prl27Fh2rUaMGkZGRbN68+Zbvk5uby+XLl6lcuXJpxBQRsDV36PUu3DMAVk+ALR+YnUhMok/TTiY+6RzpWbl0jgwyO4qI2IlmNSoR4Ote1CXT2f3444+8/fbbGIbBmDFjSExMJDMzkxMnTrB27VrCw8OpWrUqL774Iq1bt+bixYu8+uqrdOrUiczMzFLLlZKSgtVqJSCg+PTo4OBgUlJSbvk+L7/8Mr6+vvTu3fu658yYMYOoqCiioqLsZqN0EYfjYoW+H0JkL/hxPMR9ZnYiMYGKJSezev9prC4WOtZTsSQiNlYXC/fXD2LNwVTyCgrNjlPqZs2ahcVi4aWXXmLy5MmEh4cDtu6qPXv2JDQ0lH379vHaa6+xefNm4uPjad26NZs2bWLYsGG3/Xwvv/wyFovlho+1a9de93rDMG65Gc/UqVP56KOP+Oqrr244dXDkyJHExcURFxdHYGDg7b4kEbnC6mrbqDaiG3z7Z4j/3OxEUsa0ZsnJrN6fyr1hlcvVugQRubnODYNZvD2Jn4+eIaaOczd+ubLdxNNPP13s+Lx58zh9+jSrVq3Cz8+v6HiTJk1Yv349/fv3Z9myZWzdupXWrVvf8vONGTOGoUOH3vCcmjVrEhsbS0FBAenp6cUKmNTUVDp06HDT55k6dSovv/wyy5cvd4jOrCJOw9UdBs6BBYNg6TO2fZgaP2x2KikjGllyIifOXOJAyoWiVsEiIle0jwjA3dWFVfucfyqey68bSVapUrzJzeHDhwGK9tP7LVdXVz744AMMw7jtttwBAQE0aNDghg9vb29atmyJm5sbK1euLLo2KSmJ/fv3ExMTc8PnmDx5Mi+99BLfffcd7dq1u618IlIC3Dzhkc+hRhv4cgTs/9bsRFJGVCw5kdX7TwO2xdwiIr/l7e5K2zr+rD5w+qrOcM6mdu3aGIbBjh07ih0PDQ3FMAwmTpx4zetycnIAio06lSQ/Pz9+//vfM27cOFatWsWOHTt47LHHaNKkCZ07dy46r1OnTowfP77o50mTJvHCCy/w2WefUa9ePVJSUkhJSSnV9VUicg3uPjBkEVRrDosfh8Mrb3qJOD4VS05k9YFU6gT6EB5g/xszikjZ6xQZzLGMSySkZpkdpVS98MILzJw5k0qVKhU7PnjwYPz8/HjjjTeIiYlh2rRpbNu2jYSEBFasWMHAgQNxdXWlffv2pZZtypQpPPTQQwwaNIi2bdvi6+vLsmXLiu2xlJiYSHJyctHP77//Pnl5eQwaNIiqVasWPUaPHl1qOUXkOjwqwNAvISgSvhgKR9aZnUhKmdYsOYkLl/OIPZLB/2sbbnYUEbFTnSKDeHkJrNx/mojgCmbHKTVNmzaladOmVx0PCQnh+++/Z8CAAcTGxrJ169Zif24YBi+++CL169cvtWyenp689957vPfee9c95+jRozf8WURM5lUJHlsCs3vCgkdg6FdQK9rsVFJKNLLkJNYfSievwNAUPBG5rqp+XjQOrVhuWohfS3R0NIcPH+bDDz+kd+/eREZGEhERQffu3fniiy947bXXzI4oIo7Axx+GLYWK1WD+AEjabnYiKSUaWXISq/efprK3Gy1qVrr5ySJSbnWODGbq6sNkZOXg7+thdhxTeHl5MXLkSEaOHGl2FBFxZL5BMOwbmNkd5vWD4d9C1SZmp5ISppElJ1BQaLDmYCr31w/C1ap/UhG5vgcaBGEYsP6wNioVEblrfqEwfBm4V4C5fSF1v9mJpITpk7UTiD9xjrOX8ri/gTaiFZEba1zNjwBfD346oGJJRKREVK4Fw78BFzeY0wcyEs1OJCVIxZITWHMgFauLhQ4R2qVdRG7MxcVCx/qBrD+URn5BodlxREScg38d2xqmwnyY3QvOHjU7kZQQFUtOYM3BVFrWrIyft5vZUUTEAdxfP4jM7Dx2nDhndhQREecR1MBWMOVehNm9IfOk2YmkBKhYcnCnz19m76nzdGygUSURuTXt6wVgdbGw5kD57YonIlIqQu6Bx76C7LMwpzdcOG12IrlLKpYc3LqDtnUHD2i9kojcooqebkTVqsxPKpZEREpeaEsYshjOJ9vWMF3MMDuR3AUVSw7upwOpVPXzpL4TbzApIiXvgQZBHEi5QHJmttlRREScT802MHghnP3F1iUv+6zZieQOqVhyYLn5hWxMSKdj/SAsFovZcUTEgVzpnrn2oLriiYiUivAOMGg+pB2Aef0h54LZieQOqFhyYHHHzpCVk8/99bVeSURuT0SQL6GVvDQVT0SkNEV0hgGzIDke5g+0NX8Qh6JiyYGtPZiGu9WFtnUDzI4iIg7GYrFwf4NANiWkk5NfYHYcERHn1eB38NDHcCIWFg6GvMtmJ5LboGLJgf10IJXWtavg4+FqdhQRcUAPNAjiUm4B2345Y3YUERHn1vgh6PMBHFkHi4ZBfq7ZieQWqVhyUCfOXCIhNYuO9dUFT0TuTHTtANxdXVhzQOuWRERKXbNHoecUOPwjfPn/oCDf7ERyC1QsOai1B23rDLReSUTulJe7leja/qw5qHVLIiJlIuoJePBN2L8Mvn4SCjUN2t6pWHJQaw6mEebvTe1AX7OjiIgDe6BBEL+kX+SXdC06FhEpE22egs6vwJ5/wzfPQmGh2YnkBlQsOaDLeQVsTkzXFDwRuWv3//o+skZd8UREyk67P8N9L0D8PPj+L2AYZieS61Cx5IC2HMngcl5h0T4pIiJ3qqa/N3UCfTQVT0SkrHV8AdqOhrhPYcXLKpjslNqoOaC1B1LxcrPSOryK2VFExAncXz+IOVuOcTEnX901RUTKisUCnSdAfg5smQauntDpr2ankv+hkSUHYxgGaw6m0bauP55uVrPjiIgTeKBBELkFhWxOzDA7iohI+WKxwINvQIvhsOFfsH6S2Ynkf6hYcjCJaRc5fuaS1iuJSImJCquCr4crP2ndkohI2bNYoOc70OQR+Ok12DzN7ETyG5pv4WCutAzvqJbhIlJC3F1diKnjz/pDaRiGgcViMTuSiEj54uICfd6H/Muw4iVw9YBWI8xOJWhkyeGsO5RGRJAv1St7mx1FRJxIh3qBnDyXzRG1EBcRMYfVFR7+BOp1t3XI+89csxMJKpYcSnZuAVt/OUOHehpVEpGSdd+v7yvrDqaZnEREpByzusGAWVDnAfhmFOxabHaick/FkgPZ+ksGufmFKpZEpMTVqOJN7QAf1h9WsSQiYio3Txg0H8LawddPwr6lZicq11QsOZD1h9LxcHVRy3ARKRUd6gUSeySDy3kFZkcRESnf3L3h0YUQ2hL+/Xs49KPZicotFUsOZN2hVFrXVstwESkd99UL5HJeIT8fPWN2FBER8fCFof+G4EbwxWOQuMbsROWSiiUHcfJcNolpF+kQEWB2FBFxUq1rV8Hd1UXrlkRE7IWnHzz2NfjXhQWPwtFNZicqd1QsOYj1h2wfXu7TeiURKSXe7q60CquidUsiIvbEuwoMWwqVasDnA+HEz2YnKldULDmIdQfTqObnSd0gX7OjiIgTu69eIIdOZ3HqXLbZUURE5ArfQBj2DfgEwryH4VS82YnKDRVLDiC/oJBNiel0qBeozSJFpFRd6ba5QaNLIiL2pWJVGP4NeFaEuf3g9D6zE5ULKpYcQPyJc1y4nK+W4SJS6uoF+xJS0ZN1h1QsiYjYnUo1bQWTqwfM6Q3ph81O5PRULDmA9YfSsLpYaFtXzR1EpHRZLBY61Atg4+F08gsKzY4jIiL/q0pt25Q8gNm94cwv5uZxciqWHMC6Q2k0q1EJPy83s6OISDlwX70gzl/OZ2fSObOjiIjItQTWszV9yM+2FUznTpidyGmpWLJzZy7msutkJh0iNAVPRMpGu7oBuFhg3aF0s6OIiMj1BDeytRW/nGmbknc+2exETknFkp3bmJCOYUCHepqCJyJlw8/bjWY1KmndkoiIvavW3LZx7YXTMKcPZOl9u6SpWLJz6w6mUcnbjSbVK5kdRUTKkQ71AtmVdI6zF3PNjiIiIjdSoxUMWQTnjsPcvnDpjNmJnIqKJTtmGAYbDqfRrm4AVhe1DBeRsnNfvUAMAzYkaCqeiIjdC2sHj8yH9EMw7yHb1DwpESqW7NiBlAukXshRy3ARKXNNqleikrcb6zUVr0Tl5OQwatQoAgIC8PHxoXfv3iQlJd3y9QsWLMBisdCzZ89STCkiDqluJxg4B1J2w/wBkJNldiKnoGLJjl35kHKfiiURKWNWFwvt6gaw/lAahmGYHcdpjBkzhi+//JIFCxawYcMGzp8/T8+ePSkoKLjptUeOHGHcuHG0b9++DJKKiEOq3x0e/hSSfoYFj0BettmJHJ6KJTu27lAaDUIqEFzR0+woIlIOdagXSOqFHA6kXDA7ilPIzMzk008/ZdKkSXTp0oUWLVowd+5cdu3axapVq254bV5eHo8++ij//Oc/qV27dhklFhGH1Kgv9PsIjm6EhUMgP8fsRA5NxZKdupSbT9zRs5qCJyKmaR9h68K58bDWLZWE7du3k5eXR9euXYuO1ahRg8jISDZv3nzDa1966SXCwsIYPnx4accUEWfQZCD0fhcSV8PiJ6Agz+xEDkvFkp2KPZJBbkGh9lcSEdNU9fOiTqAPG9XkoUSkpKRgtVoJCCi+FURwcDApKSnXvW7FihV88cUXfPjhh7f8XDNmzCAqKoqoqCjS0rTuTKRcajEMevwLDn4HX42AgnyzEzkkFUt2asPhdDxcXYgKq2x2FBEpx9pHBLL1lwxy8m++pqa8evnll7FYLDd8rF279rrXG4aBxXLtjqfp6ek8/vjjzJ49m8qVb/33wciRI4mLiyMuLo7AQH3pJlJutRoBXV+DvV/D0j9Cod7Lb5er2QHk2jYeTqdVeBU83axmRxGRcqxd3QBmbT7K9mNniamjzbGvZcyYMQwdOvSG59SsWZPY2FgKCgpIT08vVsCkpqbSoUOHa163Z88ekpOT6dy5c9GxwsJCAFxdXdm7dy/169cvgVchIk4rZpRt3dJP/wCrG/R6D1w0XnKrVCzZodPnL3M4NYsBUdXNjiIi5VybOv5YXSxsPJyuYuk6AgICrppady0tW7bEzc2NlStXMnjwYACSkpLYv38/MTEx17zm3nvvZffu3cWOvfzyy5w9e5b333+f8PDwu38BIuL8OvwFCnJh3Ztg9YDfvQ3XGdGW4lQs2aEri6nb1tUHExExl6+HK81rVGJjQjrPmx3Gwfn5+fH73/+ecePGERQUhL+/P2PHjqVJkybFRo46depEq1atmDhxIj4+PjRu3LjYfSpVqkR+fv5Vx0VEbqjjeNsI06Z3wOoOD05UwXQLVCzZoU0J6fj7uBMZUtHsKCIitIsIYOrqw5y7lEslb3ez4zi0KVOm4OrqyqBBg8jOzqZTp07MmTMHq/W/U64TExOpUaOGiSlFxClZLND5FdsIU+wHtil5XV5VwXQTKpbsjGEYbExIJ6ZuAC4u+o9XRMzXPiKAd1YdZnNiBj3uqWp2HIfm6enJe++9x3vvvXfdc44ePXrDe8yaNatkQ4lI+WGxQLfXbQXT5nfB1QMeeNnsVHZNq7vszOHULFIv5NBeU/BExE40rV6JCh6ubNB+SyIijs9ige6TbK3F10+CdZPMTmTX7L5YWr9+Pb179yY0NBSLxXJL36gtWrSIZs2a4e3tTa1atZg06er/CD7//POic0JCQhg6dOhV+1x8+eWXNGzYEA8PDxo2bMjXX39dUi/ruq58GGkboWJJROyDq9WFNnX82Zig/XpERJyCiwv0nApNHoE1r8GmqWYnslt2XyxlZWXRuHFjpk6dipeX103PX758OYMHD2bkyJHs2bOHDz74gClTpjBt2rSiczZt2sRjjz3G8OHD2bt3L0uWLGHfvn0MGTKk6JwtW7YwaNAghgwZQnx8PEOGDGHAgAFs3bq1VF5nUbaEdGoH+BBa6eavVUSkrLSrG8CJM9kcy7hodhQRESkJLi7Q531o9BCs/BvETjc7kV2y+2KpR48evP766/Tv3x+XW+gJP3fuXHr16sUf//hHateuze9+9zvGjx/Pm2++iWEYgK0Qql69On/+858JDw+nTZs2jBo1qlgh9M4773D//ffz0ksvERkZyUsvvUTHjh155513Su215uYXEnskQ13wRMTutPt1tFtT8UREnIjVFR6aAQ16wg8vwM+fmp3I7th9sXS7cnJy8PT0LHbMy8uLpKQkjh07BkDbtm1JTk5m2bJlGIZBeno6CxcupEePHkXXbNmyha5duxa7T7du3di8efM1n3fGjBlERUURFRVFWtqdTVWJP3GOS7kFKpZExO7UDvChmp8nmxJULImIOBWrG/SfCfUehO/Gwn/mmp3IrjhdsdStWzeWLFnCihUrKCws5NChQ7z99tsAJCcnAxAdHc2CBQsYMmQI7u7uBAYGYhgGs2fPLrpPSkoKwcHBxe4dHBx81bqmK0aOHElcXBxxcXHFdma/HRsPp+Figeg6/nd0vYhIabFYLLSLCGBzYgYFhYbZcUREpCS5usPAOVCnE3wzCnZ+YXYiu+F0xdKIESN49tln6dOnD+7u7rRp04ZHHnkEoGgfi3379vHss8/y17/+le3bt/PDDz+QkpLCk08+Wexelv/pO28YxlXHStLGhHSaVK+En5dbqT2HiMidahcRSGZ2HrtPZpodRURESpqrBzwyH8Lbw5KnYM9XZieyC05XLFksFt58802ysrI4duwYKSkptGrVCoCwsDAAJk6cSKtWrRg3bhxNmjShW7dufPDBB8ydO5cTJ04AEBISctUoUmpq6lWjTSXl/OU8diZl0l5d8ETETsX8Ouq98bC64omIOCU3L3h0IdRoA1/+AfYvMzuR6ZyuWLrCarUSGhqKu7s7CxYsIDo6mqCgIAAuXbpUbLf0K+cDRU0goqOjWblyZbFzVq5cSUxMTKnkjf11aovWK4mIvQrw9aBh1Ypq8iAi4szcfWDIIghtAYufgIM/mJ3IVHZfLGVlZREfH098fDyFhYUcP36c+Ph4jh8/DsD48ePp1KlT0fnp6elMnz6d/fv3Ex8fz+jRo1m8eHGxLna9evVi6dKlTJ8+nSNHjrBp0yaeffZZWrRoQc2aNQEYPXo0P/30ExMnTuTAgQNMnDiRNWvWMGbMmFJ5nRsT0vFys9KiZuVSub+ISEloHxHAf46f5WJOvtlRRESktHhUgCH/huBGsOgxSFhtdiLT2H2xFBcXR/PmzWnevDnZ2dn8/e9/p3nz5vztb38DbE0bEhMTi10zZ84c7r33Xtq2bcvevXtZu3Zt0VQ8gMcff5zJkyczbdo0GjduTP/+/YmIiGDp0qVF58TExLBw4UJmz55NkyZNmDNnDl988QWtW7culde5MSGd1rWr4O5q9/8kIlKOtYsIIK/AYNvRM2ZHERGR0uRVCR77GgLqw8LB8Mt6sxOZwmJcmXcmJSYqKoq4uLhbPv/UuWxi3viJl38XyR/a1y7FZCIid+dyXgFNJqzgsTa1+GvPhrd17e2+N0rJ0N+7iNyVi+kwqyecOwZDv4Ja0WYnumu3876oYQw7sPHXfUvaqbmDiNg5Tzcr94ZVZqPWLYmIlA8+ATBsKVSsBvMHQFL5+vJFxZId2JSQToCvB/WDK5gdRUTkptrVDeTg6QukXrhsdhQRESkLFYJh+DJb4TT3ITi1w+xEZUbFkskKCw02JaTTrq5/qe7hJCJSUtrWtbUQ35KYYXISEREpMxWr2QomLz+Y2w9SdpudqEyoWDLZwdMXSM/KpV1EoNlRRERuSaNqflTwdFWxJCJS3lSqYSuY3LxhTh9I3W92olKnYslkm35dr3Rls0cREXtndbHQprY/m1UsiYiUP5XDbAWTixvM7g3ph81OVKpULJks9kgG4QE+VKvkZXYUEZFbFlPHn+NnLnHizCWzo4iISFnzrwPDvwEMmN0LzhwxO1GpUbFkovyCQrYeOUO0RpVExMHE1LF179RUPBGRciqwvq1LXn6ObYTp3HGzE5UKFUsm2nPqPBdy8jUFT0QcTr1gXwJ83dmcqBbiIiLlVnAjGLYEcs7b9mLKPGl2ohKnYslEVz5ktKmtYklEHIvFYiG6TgCbEzPQ3uYiIuVY1aYw9Gu4dMY2Je9CitmJSpSKJRNtScygQUgFAnw9zI4iInLbYur4k3ohh8S0i2ZHERERM1VvCUO/tBVKs3tDVprZiUqMiiWT5OQX8PNRrVcSEcd1ZQrxFk3FExGRmq1hyCLb2qU5fWwjTU5AxZJJ4o+f43JeYdEiaRERR1OzijehlbzYlKAmDyIiAoS1g0cXQEYCzO0L2efMTnTXVCyZZHNiBi4WaBVexewoIiJ3xLZuyZ8tRzIoLNS6JRERAercD4/Mt21YO+8huHze7ER3RcWSSbYkZtA41A8/Lzezo4iI3LGYOv5kZuexL9mxfxmKiEgJiugCA2ZD8k6Y3x9yssxOdMdULJkgO7eAHSfOar2SiDg87bckIiLX1KAHPPwpJMXBgkcg1zE3MVexZIK4Y2fIKzC0XklEHF6Inye1A32035KIiFytUV/o9xEc3QgLB0PeZbMT3TYVSybYnJiBq4uFe8Mqmx1FROSuxdTxZ9svZ8grKDQ7ioiI2JsmA6DP+3BkDSx6DPJzzE50W1QsmWBzYgbNa1bC293V7CgiInctpk4AF3ML2JXk+F2PRESkFDQfAj3fgcMrYPETUJBndqJbpmKpjJ2/nMfupHNEawqeiDiJNrVt6y83q4W4iIhcT9QT0H0SHPwOvvwDFOSbneiWqFgqY9uOnKHQ+O9mjiIijq6KjzuRVSuyWU0eRETkRlqPhK6vwb4lsORpKCwwO9FNaR5YGducmIGHqwvNa1YyO4qISIlpW8efObHHuJxXgKeb1ew4IiJir2JGQUEurH4VrO7Q+z1wsd/xG/tN5qQ2J6YTFVYZD1d9mBAR5xFT15/c/EL+c+ys2VFERMTetX8O7nsB4ufB98+BYb8bm6tYKkMZWTkcSLmgluEi4nTuDauC1cXCJrUQFxGRW9HxBWj3Z4j7DH54wW4LJhVLZSj2yBkAbUYrIk6ngqcbTar7sUlNHkRE5FZYLNDp79DmGdj6Iaz8q10WTCqWytCWI+n4erjSJNTP7CgiIiUupo4/u09mkpXjGB2ORETEZBYLdPsn3DsCNr8HP71mdqKrqFgqQ5sTM2gVXgVXq/7aRcT5tKntT0GhQdzRM2ZHERERR2GxQPe3oMUw2PAvWPeW2YmK0af2MnL6/GWOpF0kuram4ImIc2pZqzKuLha2/qJi6XpycnIYNWoUAQEB+Pj40Lt3b5KSkm563fnz53n22WepVq0aHh4e1K1bl0WLFpVBYhGRMuDiAj2nQtPBsOafsHGK2YmKqHV4GYk9YpvHr/VKIuKsvN1daVLdr+j9Tq42ZswYli5dyoIFC/D392fs2LH07NmT7du3Y7Veu0tqXl4eXbt2pXLlyixatIjq1auTlJSEh4dHGacXESlFLi7QZ5qtrfiqV8DFDWL+ZHYqFUtlJfbIGSp4uhJZtaLZUURESk2b2v58tP4IF3Py8fHQr5jfyszM5NNPP2XmzJl06dIFgLlz51KrVi1WrVpFt27drnndzJkzSU1NZf369bi7uwMQFhZWVrFFRMqOixX6fQSF+bDiJbC6QesnzY1k6rOXI1uPZNDq19a6IiLOqmjdkvZbusr27duLRomuqFGjBpGRkWzevPm61y1ZsoS2bdsyatQoQkJCaNiwIa+88gp5eXnXvWbGjBlERUURFRVFWlpaib4OEZFSZXWFhz+BBj1h+fPw86emxlGxVAZSz1/mSPpFWteuYnYUEZFSVbRuSVPxrpKSkoLVaiUgoPhee8HBwaSkpFz3ujz1cPEAAA22SURBVCNHjrB48WLy8vL47rvv+Mc//sGHH37I+PHjr3vNyJEjiYuLIy4ujsDAwBJ7DSIiZcLqBv1nQr3u8N1Y2D7btCgqlspA7K+LnduouYOIODkfD1fuKWfrll5++WUsFssNH2vXrr3u9YZhYLFcf9ZBYWEhQUFBfPzxx7Rs2ZKHH36YV199lenTp2PY4Z4kIiIlwtUdBs6Gup1h2WiI/9ycGKY8azmz9UgGvh6uNNR6JREpB9rU9ufjcrRuacyYMQwdOvSG59SsWZPY2FgKCgpIT08vNtqTmppKhw4drntt1apVcXNzK9YAIjIykkuXLl11LxERp/L/27vX2KrqfI3jz9rs0tuGthsQtNRCB0gdSq3TSguNSoQ0QA4HBnUQZqoHb1NaTSOJiWk0EG9NMOqLJozKxDiCXEad6eB4v1AVSRntMMWeI3gAAYHi0JbaCyOVdp0XnTLT4xZp9179d6/1/SS8YNHu9fB/0Wf/dv9rLX+stGyTtOVmqbpU8vml7F8MbYQhPZtH1R5q1tWTUni+EgBPKMgYo9/UHFTdkdO6dpr738iPHTv2e1vrQsnNzVVMTIzeeecdrVixQpJ07Ngxff7555o9e/YPfl9hYaE2b96snp4e+Xy9PfLFF18oISHhos4LAFEtJl66eYu0+RfSH3/dOzBlLR2y0/Pu3WGn2s/q4KlO5bMFD4BH5KWnaITP0u4vvbMV72IkJSXp9ttv13333ad3331Xe/bsUXFxsbKzszVv3rzzXzd37tx+1yOtWrVKLS0tKi8v1/79+/XWW29pzZo1Ki0tveD2PQBwjZEJ0optUlqB9Mod0v9sH7JTMyw5rO/NAtcrAfCKxNi+5y3xcNr/76mnntLSpUu1bNkyFRYWKhAI6NVXX+23xe7gwYNqbGw8//e0tDS9/fbbqqurU05OjkpKSnTbbbfp0UcfNfFfAAAzRiZKv/y9NDFPenmltO/1ITkt2/ActvtQixJHjlDWZVyvBMA78ieP0W8/OqQzXeeUMJKq6RMXF6eqqipVVVX94NccPnz4e8cKCgoueHtxAPCE2FHSL1+SNv5c+v0t0s2bpWlFP/59YeA3Sw6rPdSs3ElBrlcC4CkFGUGd67FVx/OWAACRFJck/eoP0vifStt+JR14z9HT8Q7eQU0dZ/W/f+9QAc9XAuAxef98CPdutuIBACItPlkqrpbGTpO2rpAOfeDYqRiWHPSXfz5fKX8y1ysB8JZArF8zUr31vCUAwBBKCEq3/EkKZvTeWvzwx46chmHJQbsPNSs+ZoSyJyaZjgIAQ64gY4zqj7XqTNc501EAAG6UOEa6ZbuUlCa9eJN0tDbip2BYctDuL1uUNylFMVyvBMCD8jOC+q7b1l+PtJqOAgBwq8A46dbt0uhLpU03Sl99EtGX5128Q1o6u7TvZDu3DAfgWX3PW2IrHgDAUaMmSLe+KiWOlTYtlY7/NWIvzbDkkH9dr8TNHQB406i4GGWlJvFwWgCA80Zf1jswxSdLG5dIjfUReVmGJYfUHmpWXIxP2ROTTUcBAGMKMoL621et+kdXt+koAAC3S06Tbv2zFDtaemGJ9PV/h/2SDEsO2f1li3LTUzTSzxID8K6CjDG91y0d5XlLAIAhkJLeew2TP0763X9Kf98X1svxTt4B3T229p1s45bhADwvLz1FPktctwQAGDrBDOm//iz5/NLvFkmnvhj0SzEsOaDz7DnZtri5AwDPGxUXw/OWAABDb8xPeq9hkt07MDUfHNTLMCw5oLOrW7F+n65M4/lKAJCfMUb1X31jOgYAwGvGTesdmHq+6x2YWr4c8EswLDmg4+w5/ezyFMX6R5iOAgDG5U8Oqqu7x3QMAIAXXXKFdMufpO/O9A5MrUcH9O0MSw749rtu5Wdwy3AAkKS89KAsy3QKAIBnTZghFVdLZ9uk5/9jQN/KsOQQbu4AAL2SEmKUOWG06RgAAC+7LEcq/qP0j4HdndWybdt2KJJnBQIBZWZmmo4R9U6dOqVx48aZjhH1WMfwsYaRsW/fPnV0dJiO4Tl0Uvj4GRAZrGNksI7hG0gf+R3O4kmZmZn69NNPTceIenl5eaxjBLCO4WMNIyMvL890BE+ik8LHz4DIYB0jg3UM30D6iG14AAAAABACwxIAAAAAhDBi7dq1a02HcKPc3FzTEVyBdYwM1jF8rGFksI5msO7hYw0jg3WMDNYxfBe7htzgAQAAAABCYBseAAAAAITAsAQAAAAAITAsAQAAAEAIDEtDxLZtzZ8/X5Zl6eWXXzYdJ2q0tLTonnvuUWZmpuLj45WWlqZVq1apubnZdLRhb/369Zo8ebLi4uKUm5urjz76yHSkqFJZWamrr75ao0eP1rhx47Ro0SI1NDSYjhXVHnvsMVmWpbvvvtt0FE+jjwaHPho8+ig89FHkDaSPGJaGyBNPPKERI0aYjhF1Tpw4oePHj2vdunX67LPPtGnTJn344Ydavny56WjD2rZt21ReXq6Kigrt2bNHs2fP1oIFC3T06FHT0aJGTU2NSktLtWvXLr3//vvy+/2aN2+eWlpaTEeLSrW1tdqwYYOys7NNR/E8+mhw6KPBoY/CRx9F1oD7yIbjPvnkE3vixIn2119/bUuyX3rpJdORotprr71mW5Zlf/PNN6ajDFszZ86077jjjn7HpkyZYt9///2GEkW/9vZ22+fz2du3bzcdJeq0trbaGRkZ9nvvvWdfd911dllZmelInkUfRRZ99OPoo8ijjwZvMH3Eb5Yc1t7eruXLl+uZZ57RJZdcYjqOK7S1tSk2NlYJCQmmowxLXV1dqqurU1FRUb/jRUVF2rVrl6FU0a+9vV09PT1KSUkxHSXq3HXXXbrxxht1/fXXm47iafRR5NFHF0YfOYM+GrzB9BHDksNKSko0f/58LVy40HQUV2htbdWDDz6oO++8U36/33ScYampqUnd3d0aP358v+Pjx4/XyZMnDaWKfuXl5crJydGsWbNMR4kqGzZs0IEDB/Twww+bjuJ59FFk0Uc/jj5yBn00OIPtI4alQXjggQdkWdYF/9TU1Gjjxo2qr6/X448/bjrysHOxa/jvOjs7tWjRIqWmpmrdunVmgkcRy7L6/d227e8dw8VZvXq1du7cqVdeeYVrPQZg//79qqio0IsvvqiRI0eajuNK9FH46CPn0UeRQx8NTjh9ZNm2bTuUy7WamprU1NR0wa+5/PLLVVpaqhdeeEE+379m0u7ubvl8Ps2aNUs7d+50OuqwdbFr2Le1oaOjQwsXLpRt23rjjTcUCASGImZU6urqUkJCgrZs2aKbbrrp/PGysjI1NDTogw8+MJgu+tx7773aunWrduzYoczMTNNxosrzzz+vlStX9iv07u5uWZYln8+nzs5OxcbGGkwY/eij8NFHzqGPIos+Grxw+ohhyUHHjx/X6dOn+x2bMWOGnnzySS1evFgZGRmGkkWX9vZ2LViwQLZt680339SoUaNMRxr28vPzdeWVV+rZZ589f2zatGm64YYbVFlZaTBZdCkvL9fWrVtVU1OjK664wnScqNPa2qpjx471O7Zy5UpNnTpVFRUVmj59Op8uDxH6KDLoo4GjjyKDPgpPOH3EJlsHpaamKjU19XvH09LSKKaL1N7erqKiIrW1tam6ulqdnZ3q7OyUJAWDQbb2/IDVq1eruLhYM2fOVGFhoZ5++mmdOHFCJSUlpqNFjbKyMm3cuFHV1dVKSUk5v78+EAjwSfJFSk5OVnJycr9jiYmJCgaDysrKMpTKm+ij8NFHg0MfhY8+Cl84fcSwhGGtrq5OtbW1kno/ifp3O3bs0Jw5cwykGv6WLVum5uZmPfLII2psbFRWVpZef/11paenm44WNdavXy9Jmjt3br/ja9as0dq1aw0kAmASfTQ49FH46COz2IYHAAAAACFwNzwAAAAACIFhCQAAAABCYFgCAAAAgBAYlgAAAAAgBIYlAAAAAAiBYQkAAAAAQmBYAgAAAIAQGJYAAAAAIASGJQAAAAAIgWEJAAAAAEJgWAIAAACAEBiWABdasmSJLMtSZWWlOjo69NBDD2n69OmKj4+X3+/Xt99+azoiAMAD6CNEO7/pAAAib+/evZKk2NhYzZgxQ4cPH1Z8fLx8Pp+mTp2quLg4wwkBAF5AHyHaWbZt26ZDAIictrY2JScny7ZtJSYmatKkSaqqqtKcOXNkWZaOHDmi9PR00zEBAC5HH8EN+M0S4DJ79+5V32cgl156qT7++GMlJSWd/3eKCQAwFOgjuAHXLAEuU19fL0myLEvPPfdcv2ICAGCo0EdwA4YlwGX6yik/P1/XXHON4TQAAK+ij+AGDEuAy/SV0+LFiw0nAQB4GX0EN2BYAlykp6dHDQ0NkqRrr73WcBoAgFfRR3ALhiXARQ4cOKAzZ87I5/MpOzvbdBwAgEfRR3ALhiXARfq2PEyZMkWBQMBwGgCAV9FHcAuGJcBF+sopJyfHcBIAgJfRR3ALhiXARfrK6aqrrjKcBADgZfQR3IJhCXARPskDAAwH9BHcwrL7Hq0MIKqdPn1awWBQktTY2KgJEyYYTgQA8CL6CG7CsAQAAAAAIbANDwAAAABCYFgCAAAAgBAYlgAAAAAgBIYlAAAAAAiBYQkAAAAAQmBYAgAAAIAQGJYAAAAAIASGJQAAAAAIgWEJAAAAAEJgWAIAAACAEP4PJR5hlM2h6ZkAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points)\n", "\n", "w1 = potentials1D.wavePotential(multiplicity=3)\n", "w2 = potentials1D.wavePotential()\n", "waves = [w1, w2]\n", "\n", "V = potentials1D.torsionPotential(wavePotentials=waves)\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Lennard Jones Potential\n", "The lennard jones potential is used usally to describe the Van der Waals terms between multiple atoms.\n", "On long distances between two atoms the potential converges to zero, so the atoms don't \"see\" each other anymore.\n", "On very short distances between two atoms the potential goes to infinity, representing a huge energy barrier.\n", "The minimum of the potential represents the optimal distance of the two atoms.\n", "\n", "Functional:\n", "\n", "$V = 4e*(\\frac{s^{12}}{(r - r_0)^12} - \\frac{s^6}{(r - r_0)^6}) + V_{off}$\n", "\n", "first derivative:\n", "\n", "$\\frac{\\partial V}{\\partial r} = 4e*(-12*\\frac{s^{12}}{(r - r_0)^13} + 6*\\frac{s^6}{(r - r_0)^7})$\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 1.15 ms\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-5, 5, test_timing_with_points)\n", "\n", "V = potentials1D.lennardJonesPotential()\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, _ = vis.plot_potential(V, positions=positions, y_range=[-5,5])\n", "pass" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Culomb Potential\n", "Culomb potentials are used in chemical modelling for the representation of charged interatctions between two non-bonded atoms.\n", "\n", "Functional:\n", "\n", "$V = \\frac{q_1q_2}{(4 \\pi \\epsilon r)}$\n", "\n", "first derivative:\n", "\n", "$\\frac{\\partial V}{\\partial r} = \\frac{-q_1q_2}{(4\\pi \\epsilon r^2)}$\n", "\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 0 ns\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(0.00001, 0.5, test_timing_with_points)\n", "\n", "V = potentials1D.coulombPotential()\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions, y_range=[-10,10])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Perturbed/MultiState Potentials\n", "\n", "For free energy calculations the potentials of two states can be coupled to each other. Two general approaches of such potential coupling schemes are shown here. If you want to learn more about their usage and free energy calculations, checkout the Free Energy Calculation Jupyter-Notebook.\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### linear coupled\n", "\n", "The linear coupling uses a $\\lambda$-variable to couple the two potentials $V_a$ and $V_b$ in a linear combination. Here a $\\lambda = 1$ stands for a pure $V_a$ and a $\\lambda = 0$ for a pure $V_b$. The ideal mixture of states is reached with $\\lambda = 0.5$ and all other $\\lambda$s between $[0,1]$ are representing intermediate states between $V_a$ and $V_b$.\n", "\n", "Functional:\n", "\n", "$V(r, \\lambda) = \\lambda V_a(r) + (1-\\lambda) V_b(r)$\n", "\n", "\n", "first order derivatives:\n", "\n", "\n", "$\\frac{\\partial V}{\\partial \\lambda} = V_a - V_b$\n", "\n", "$\\frac{\\partial V}{\\partial r} = \\lambda \\frac{\\partial V_a(r)}{\\partial r} - (1-\\lambda) \\frac{\\partial V_b(r)}{\\partial r}$\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 0 ns\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points)\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential()\n", "w2 = potentials1D.harmonicOscillatorPotential(k=11)\n", "\n", "V = potentials1D.linearCoupledPotentials(Va=w1, Vb=w2)\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 720x720 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points)\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential(k=10, x_shift=-2)\n", "w2 = potentials1D.harmonicOscillatorPotential(k=10, x_shift=2)\n", "\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential(k=12, x_shift=-2)\n", "w2 = potentials1D.harmonicOscillatorPotential(k=12, x_shift=2)\n", "V = potentials1D.linearCoupledPotentials(Va=w1, Vb=w2)\n", "\n", "lambda_ene = []\n", "for lam in np.arange(0, 1, 0.01):\n", " V.set_lambda(lam)\n", " lambda_ene.append(V.ene(positions))\n", "\n", "print(\"\\nVisualization\")\n", "fig, ax = plt.subplots(ncols=1, figsize=[10,10])\n", "mapping = ax.imshow(lambda_ene, extent=[0,100, 0,100], vmin=0, vmax=50)\n", "opt_labels = np.array(ax.get_yticks())/100\n", "ax.set_yticklabels(opt_labels)\n", "opt_labels = np.round(((np.array(ax.get_yticks())/100)*8)-4,2)\n", "ax.set_xticklabels(opt_labels)\n", "\n", "ax.set_ylabel(\"lambda\")\n", "ax.set_xlabel(\"r\")\n", "cm = plt.colorbar(mapping)\n", "cm.set_label(\"V\")\n", "fig.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### exponential Copuled - Enveloping Potential\n", "This way of coupling is used in enveloping distribution sampling (EDS). The coupling scheme is generating an artificial reference state, via summing the end potentials in a log-sum-exp operation. The reference state contains two parameters the smoothing parameter $s$ and the energy offset vector $E^R$.\n", "\n", "\n", "Functional:\n", "\n", "$V(r) = -\\frac{1}{k_b T s} ln(e^{- k_b T s (V_i-E^{off}_i)}+e^{-k_b T s (V_j-E^{off}_j)})$\n", "\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 10000000 positions: \n", "Wall time: 2.15 s\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0, 2)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points*10000)\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential(x_shift=-2)\n", "w2 = potentials1D.harmonicOscillatorPotential(x_shift=2)\n", "\n", "#print(w1, w2)\n", "V = potentials1D.exponentialCoupledPotentials(Va=w1, Vb=w2, s=1, eoffA=0, eoffB=0)\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)\n", "plt.show()\n", "plt.close()\n", "plt.plot(positions, V.ene(positions))\n", "plt.plot(positions, w1.ene(positions))\n", "plt.plot(positions, w2.ene(positions))\n", "plt.ylim([0,2])\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### linear & exponential hybrid Copuled - $\\lambda$ EDS\n", "This is a generalization, combining both previously introduced coupling schemes into one.\n", "\n", "Functional:\n", "\n", "$V(r) = -\\frac{1}{k_b T s} ln(\\lambda e^{- k_b T s (V_i-E^{off}_i)}+(1-\\lambda)e^{-k_b T s (V_j-E^{off}_j)})$\n", "\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 0 ns\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(0, 2)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points)\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential(x_shift=-2)\n", "w2 = potentials1D.harmonicOscillatorPotential(x_shift=2)\n", "\n", "V = potentials1D.hybridCoupledPotentials(Va=w1, Vb=w2, lam=0.5)\n", "#print(V)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)\n", "plt.show()\n", "plt.close()\n", "plt.plot(positions, V.ene(positions))\n", "plt.plot(positions, w1.ene(positions))\n", "plt.plot(positions, w2.ene(positions))\n", "\n", "plt.ylim([0,2])\n", "\n", "\n", "#perturbed potentilas\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Next we will show, how the system changes with $\\lambda$." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 720x720 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points)\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential(k=12, x_shift=-2)\n", "w2 = potentials1D.harmonicOscillatorPotential(k=12, x_shift=2)\n", "V = potentials1D.hybridCoupledPotentials(Va=w1, Vb=w2, s=0.1)\n", "\n", "lambda_ene = []\n", "for lam in np.arange(0, 1.01, 0.01):\n", " V.set_lambda(lam)\n", " lambda_ene.append(V.ene(positions))\n", "\n", "print(\"\\nVisualization\")\n", "fig, ax = plt.subplots(ncols=1, figsize=[10,10])\n", "mapping = ax.imshow(lambda_ene, extent=[0,100, 0,100], vmin=0, vmax=10)\n", "opt_labels = np.array(ax.get_yticks())/100\n", "ax.set_yticklabels(opt_labels)\n", "opt_labels = np.round(((np.array(ax.get_yticks())/100)*8)-4,2)\n", "ax.set_xticklabels(opt_labels)\n", "\n", "ax.set_ylabel(\"lambda\")\n", "ax.set_xlabel(\"r\")\n", "cm = plt.colorbar(mapping)\n", "cm.set_label(\"V\")\n", "fig.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "To smoothen the transition and lowering the barrier between the states, the $\\lambda$ and the s parameter can be changed simultaneosly." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "Visualization\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAArMAAAK7CAYAAADhtAd2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOy9a6wkV3m2fT+rdu+ZwWMsI/AJCJgPGaPYvLZsXrA/Th82JsBLSEBJEIrAUcQQ2ZEMJkI4BzARyIk5BMnCSCN+gJw48COESCEcjIiFjZE+22ABARGEQEjgkTGQxBY2s3et5/2xTs9aVd2793ZPz+7Z9zVq1aq1VlVXd1f1rq5ZV92iqgpCCCGEEEJWEHe8N4AQQgghhJCdwpNZQgghhBCysvBklhBCCCGErCw8mSWEEEIIISsLT2YJIYQQQsjKwpNZQgghhBCysvBklhBCCCGErCw8mSWEEEII2WN85CMfwXOe8xw8/vGPx+Mf/3hccskl+OxnP5vbVRXXX389zjrrLBw4cAAveclL8B//8R/HcYunw5NZQgghhJA9xlOe8hT87d/+Lb7+9a/jnnvuwUtf+lL8zu/8Dr75zW8CAG688UZ88IMfxE033YS7774bp512Gl72spfhoYceOs5bPkSYAEYIIYQQQp7whCfghhtuwKFDh3DWWWfhT//0T/EXf/EXAIBHHnkEp512Gj7wgQ/gLW95y3He0hpemSWEEEII2cP0fY9PfvKTePjhh3HppZfihz/8IY4cOYIrrrgi9zlw4ABe9KIX4a677jqOWzrO2vHeAEIIIYSQE4WX/38n4ee/6I/3ZuCRzf8HBw4cyPOHDh3CoUOHqj7f+ta3cMkll+DRRx/FwYMH8c///M84//zz8wnr6aefXvU//fTT8ZOf/OTYb/w24cksIYQQQsiC+Pkvevz/X/iN470Z+N//5wDuueeemX2e9axn4b777sN//dd/4Z/+6Z/wpje9CbfffntuF5Gqv6oO6nYDHGZACCGEELIHWV9fxzOf+UxcfPHFuOGGG3DBBRfg7/7u73DGGWcAAI4cOVL1f+CBBwZXa3cDPJklhBBCCFkQCsDvgn87wXuPX//61zj77LNxxhln4Lbbbsttjz76KO644w5ceumlC3qnFgeHGRBCCCGE7DHe+c534lWvehWe+tSn4qGHHsKtt96K22+/HZ/97GchInjrW9+K973vfTj33HNxzjnn4L3vfS8OHjyIN7zhDcd70wfwZJYQQgghZI9x5MgR/OEf/iGOHDmCU045Bc95znPwuc99Di9/+csBAO94xzvwyCOP4Oqrr8Yvf/lLPO95z8MXv/hFnHzyycd5y4fwPrOEEEIIIQviov+1D3d9/snHezPw/776CVsKYCcKHDNLCCGEEEJWFg4zIIQQQghZEEEA4396LxNemSWEEEIIISsLT2YJIYQQQsjKwmEGhBBCCCELZKf3eSU7g1dmCSGEEELIysIrs4QQQgghC0Kh6HnX06XCK7OEEEIIIWRl4cksIYQQQghZWTjMgBBCCCFkgfA+s8uFV2YJIYQQQsjKwpNZQgghhBCysnCYASGEEELIglAAPYcZLBVemSWEEEIIISsLr8wSQgghhCwQCmDLhVdmCSGEEELIysKTWUIIIYQQsrJwmAEhhBBCyIJQgHG2S4ZXZgkhhBBCyMrCk1lCCCGEELKycJgBIYQQQsgC8cd7A/YYvDJLCCGEEEJWFl6ZJYQQQghZEAplAtiS4ZVZQgghhBCysvBklhBCCCGErCwcZkAIIYQQsigU6DnKYKnwyiwhhBBCCFlZeGWWEEIIIWRBKHhrrmXDK7OEEEIIIWRl4cksIYQQQghZWTjMgBBCCCFkYQh6yPHeiD0Fr8wSQgghhJCVhSezhBBCCCFkZeEwA0IIIYSQBaEAPO8zu1R4ZZYQQgghhKwsvDJLCCGEELJAKIAtF16ZJYQQQgghKwtPZgkhhBBCyMrCYQaEEEIIIQtCwWEGy4ZXZgkhhBBCyMrCk1lCCCGEELKycJgBIYQQQsgC8cphBsuEV2YJIYQQQsjKwiuzhBBCCCELggLY8uGVWUIIIYQQsrLwZJYQQgghhKwsHGZACCGEELIgFIKe1wqXCt9tQgghhBCysvDKLCGEEELIAuGtuZYLr8wSQgghhJCVhSezhBBCCCFkZeEwA0IIIYSQBcH7zC4fXpklhBBCCCErC09mCSGEEELIysJhBoQQQgghC0PQK68VLhO+24QQQgghZGXhlVlCCCGEkAWhADyvFS4VvtuEEEIIIWRl4cksIYQQQghZWTjMgBBCCCFkgfA+s8uFV2YJIYQQQsjKwpNZQgghhBCysnCYASGEEELIglDlfWaXDd9tQgghhBCysvDKLCGEEELIAvEUwJYKr8wSQgghhJCVhSezhBBCCCFkZeEwA0IIIYSQBaEAel4rXCp8twkhhBBCyMrCK7OEEEIIIQuDt+ZaNny3CSGEEELIysKTWUIIIYQQsrJwmAEhhBBCyIJQAJ7XCpcK321CCCGEELKy7MqT2a985Sv47d/+bTz5yU+GiODjH//4lst861vfwotf/GIcOHAAT37yk/HXf/3XUNVjv7GEEEIIIeS4sSuHGTz88MM477zz8MY3vhFvfOMbt+z/P//zP3jZy16GF73oRbj77rvxve99D1deeSVOOukkvP3tb1/CFhNCCCGEBHplnO0y2ZUns6985Svxyle+EgBw5ZVXbtn/H/7hH/CrX/0Kn/jEJ3DgwAGcd955+O53v4sPfehDuPbaayHCnYoQQggh5ERkV57Mbpevfe1reOELX4gDBw7kupe//OX4q7/6K/zoRz/C2WefXfU/fPgwDh8+DAD45nfuwxOe/nh4SBi0rQKF5KkqhtP4i6tM44rTLzGNDwCAlHKcSjM/qG/aZKzvnHWATn++auPtMqVeRupK37FldZvzcWZsREh8vrppyvYuExkUmurmx1PbX0Yap/YZWWaw/rgfTusjTb/B+mCWl6otr3OLurybz9N/Wt+0Aw/qtWy+KCSWJfYVaJ53uV3hoGYKOPiqLbV38eh3pj48ABGBQ3gQQlaHH/3kIB588MHj8twKYQLYkjkhTmaPHDmCpzzlKVXd6aefntvak9lDhw7h0KFDAIAzf/NUvOEfLsev/Rp+7dfwSD/BUb+Go32Ho34NG32Ho77DRt9h0zts9A6bfYfeO/S9Q98LvHdQL9BeoL0DegkPBaQXwIep9IB4gXjEujjfA+LrBzzg+tgvP3S0r3gdnYfaZVKdQvrYXxXiNT6HAl4hGqdec1+oAn1sS4/e53Lqmx923od+mut96QOEea9lfHPsn8tAWTb1RyraE1tvygs6y61OCJ0pSl0X5/P/ADhXlnfO1EtYJi9f5kUk90cuSymLQJ3pY9q0S+0O8Qws9HVlGXWpH3JZYxkOUBFoF9sc4mNaGWGZtq2r232H8HymXjut19FpbFcgTZ0CXXiIU0incE7hOo8uPtacx1rnsdb1mDiPSddj4nqsdz3W3SbWXY993SbW3SYOdBvY5zax321gIj32uQ3sl008zv0a+90GTnK/xn7ZCPOygZNkE/ulx+ME2C8Oj3MT7JPJYvYpQshS+N//55TjvQlkiZwwPx3aoQTp5IhDDAghhBBCTlxOiCuzZ5xxBo4cOVLVPfDAAwDKFVpCCCGEkGXgd0Wc7d65o9NueLcfM5dccgnuuOMOPProo7nutttuw1lnnYWnP/3px2/DCCGEEELIMWVXnsw+/PDDuO+++3DffffBe48f//jHuO+++/DjH/8YAHDdddfhsssuy/3f8IY34HGPexyuvPJKfPvb38anP/1p/M3f/M1cdzLI4keUTLokgcQ6kbaMXA6PxtURNQ/UMosEGUbNfNtPxXhkYvuNrCc/pJlvpBuzTBmLmZaT6rnSfJGK0jhNU07t7VhO2PXXY0Al17vSB6jGjMpgzKiLq4z98/Kx3kk9fjU/ZPwxdSeY0t+u0z6fqavGyzo32P7R8bJ2/dsdL9u0afv6TB/NfZCP9LSvlL7pc232NVtXvVft/je2bLMP5+V00Me2a9Oe6sPLCMfbdulmLJMEjV4degi8OvhY7iHYANBDsaE9ejsmmxBCyK5iV57M3nPPPbjwwgtx4YUX4pFHHsG73/1uXHjhhXjXu94FALj//vvxgx/8IPc/5ZRTcNttt+GnP/0pLr74Ylx99dV4+9vfjmuvvfZ4vQRCCCGE7EEU4cfy8X7sJXblmNmXvOQlM9O7xhLBzj//fHzlK185hltFCCGEEEJ2G7vyZJYQQgghZBVRCBPAlszeug5NCCGEEEJOKHhlFkAHHx6N/FWVjQQ2/ggJYiJG3NIgtUiSbqLIEjohSzB2GYn1rSgjSLKNZilmTLwp8k7op5BwE3oViGgln0kqOwA+VWiQh7xGqUmhXkbKAConRmvJyrY7B/iQvqQOgI+N6aeUd4AL4QmSbv7vfS2BpQAFu0xEXBOkICO/0dRvIYGN/67LglnbZ4ughNzWiG5F1Nqh/GVEL02fw6BcxKwk/VWilivCYBYPU3BCK2YBQymrqZsqLaJuHyaBab0M6vYkftkYuva4c1MEr3T8bkWfDi4gi19eJZYVG1BMRLGJHh1/+xNCyK6EJ7OEEEIIIQvE88fvUuG7TQghhBBCVhZemSWEEEIIWRCq4f7VZHnw3SaEEEIIISvLnr8yG3yYIIoU4cvDicvTwTKixbPKyUZqRC6pBJiSfiRVXRG7aqGrFclSuZW+6oSwIn3Zx0AoSyt3AHrNYpA4hSogCBKQOJhYZ7PtUSaLb1iQvFShTiCDkCRNb9h0CUyDcJYlMADiESQwIIhgwHQRDJgqg+WtmCaFNVSyV6ksZdM+Kn7Z7VyQ/JXX3bRb4Ss8L7L8lRLeyjJASXyDWeeM9C9MT5ibJYLZ5cbSvIYJeCiC17QykI+vMYevkjQxXQqbRg+JKWAOkDDvIfAAegAb6tGhh4PDRLptrZsQQsixZ8+fzBJCCCGELI7wg5gsDw4zIIQQQgghKwtPZgkhhBBCyMrCYQaEEEIIIQtCwbsZLBuezALoxBvxy6MTV4kkDpqlLyeKHgInCm/Sv5LIVWSvWM5RWxiIMlL1l9wm2ghf1bJF9FpkCphCYjBZFNmiPSZxWfUSA8KCNJZHAznkF5SOXemjgOMkC2JhfooEltaTRC7ns0xWiWCqQxEsCWQAMCZ6qR8Xu6bRLt8sO5f4lZZL68pSV5mfO/mrPHHdnupyuldZhxqBK0xNAtgc6V9h3dMfVgzLzzMifNXr0tF1jC2XhMq0bNqdYVeXEvmwWHq4nAQWRDCFR5DAgiIm6OaQCQkhhCwPnswSQgghhCyQnqM4lwrfbUIIIYQQsrLwZJYQQgghhKwsPJklhBBCCFkQCoHX4//YihtuuAHPfe5z8fjHPx5PetKT8OpXvxrf/va3qz5XXnll8ILM4/nPf/6xeut2zJ4fMytQk/yl6JoUIRclr9QeykFbkiyAFRGsTe+CApraknTVpIENksBifW4z61tIChhiX5fSsQSiGlPBYhuCWKVeY5pVlMBsGQhSlrVz2nnjeGWBayCBIXRyKBKXTQMzy1XrQRHBkNbX4rf5e21EFpPq9cwhfgHIqV+p707kLyt6mXab/lWX0wbDrBeVkGUT6kbTv2AFrynpXyP73yAdbCCLmXogC15FUtNquVSWdLygHG9twpeIVul9W+HVoZf4hS8OXl2YIpbh4OGxAReTv9Ix77GJHh2vAewKeh3/rD10tD7hRrRBSn1kL3L77bfjqquuwnOf+1yoKt71rnfh8ssvx3e+8x084QlPyP0uv/xy3HLLLXl+fX39eGzuTPb8ySwhhBBCyF7jC1/4QjV/yy234JRTTsFXv/pVvPrVr871+/btwxlnnLHszdsW/DlKCCGEELJA+ngzv+P52C4PPfQQvPc49dRTq/o777wTp512Gs455xy8+c1vxgMPPLCot2lh8MosIYQQQsgJxs9+9jNcfPHFef7QoUM4dOjQ1P7XXHMNLrjgAlxyySW57rd+67fw2te+FmeffTZ+9KMf4S//8i/x0pe+FPfeey/27dt3TLd/O/BklhBCCCFkQSjC2PzjzZOe9CTcc889c/W99tprceedd+LOO+9E13W5/vWvf30un3/++bjooovwtKc9DZ/97Gfx2te+duHbvFN4MhtdgA4eHfxA/rJymJXARFKiVpKyQmpRkbWSXKNTyjEYywheVu5KKV2jbY81BUy1CGUubog0KWAankcckH2KuHwqFyEMRfJCELEqD6dpH0pgKbnLl4Ev3gHqgzA1lgZm15U+Sl8LIVU62DaohK/mOVrxq+o/lvoFVDLYTPkrbfdY0leczpS/XEkDC/PD9K/clvalNv1rTAprhK+c/rWV8JUfWtrQrlNH15PFr0b+yh9JbG9lsNCW0vyGbb06TKQf1AOokr96CJxJAdtQRRd3YgeHiXSj69jr9OpjapqP86Hcxy8Rr4o+pqqldiB4pwBMfTNvpK2+sbT9Y8iBc40s1pl9pjNtLrc38wC6eHw6AF3cFieCDgIHZ9odE+TIruRtb3sbPvnJT+Lf//3f8YxnPGNm37POOgtPecpT8P3vf39JWzcfPJklhBBCCNmDXHPNNfjkJz+J22+/Heeee+6W/R988EH85Cc/wZlnnrmErZsfnswSQgghhCwMqf43Ybdy9dVX45ZbbsFnPvMZnHrqqThy5AgA4ODBgzh48CAefvhhXH/99Xjd616HM888Ez/60Y9w3XXX4bTTTsPv/u7vHuetr+H/dxBCCCGE7DFuvvlmPPTQQ7jssstw5pln5scHPvABAEDXdfjWt76F17zmNTjnnHPwpje9Cc961rPwta99DSeffPJx3voaXpklhBBCCFkQu0UA2wrV2QEjBw4cGNyLdrey509mBUAXZZEijqSHK1NE8QslFSz4MiX9S2DFlyi2YCjUjKd5aSXn5NQuzFhuBCuHVSlgqOfDeoP8lcQfQUwB82kBDeKYKASpr5inNmlf80pgKSGslcCAmNblTf8kU5U0sLBu8yUxRQYL/bdOgxqlWU+daDZF/AIwSP0ydWJlrlb+ss8jzXxafyN8VXJYLCcpK32eVtJqU7jUJNA9lvSvsdSvxGhbsx11WxG+yvETyuXlGgET6e2p5y2t4DNGDxfFsCCI9eLQQ9Bp+K/CjZgAtgEF1MNFXelElsCsyGUlrjGBq0c4anuNU0iWtHyS6NTl/3ZN86kcpm5YZ04GvPlPxPa/b/vHeNLQNalxtfjlqz6pzeX5Uu/E5/YuisNd3FccQrpkBw2imCRhLAhkSR5rxbE1dBTGCJkDHiWEEEIIIWRl2fNXZgkhhBBCFskqCGAnErwySwghhBBCVhaezBJCCCGEkJWFwwygcXB+kcCAkARj079E2nIQT7xKJaWICBQwSWAAFNDUlmWskgZm5Zo2BcyupxLGgFqomSZ6RSEsJC9JSQHDMAVM4wrEaQwFC/VwAvUa075i8hdQl4HHlASW+mfpq00DA4YimGoRsryv5Snbtl1mJIBV6WBW/KrmpaoTK2xNS/5KyV02/cvVbVW/kfSv8nmntiJxHbP0r6p+KIoN6oGwP5o6zdJXaU/ltFn5pduPpUkAa+e3oohffZSWQtmrg4dDL4oNOHQxASwIjwB0Ez7+WzVBZyuxa2OG0BVkLgevJSUNQJa7ksSV3sugyhWZy8f3G2glsDjN0pjLy9j28FxlD+hHrsXMY5A7GRdDO/PlZPejrpHAihSmud0ZQawTX4ljQfrypSw+Jk4WaayIZYoJPDrpK1lsgiKKTcRlSWwiHVPFdiGqshJ3MziR4LtNCCGEEEJWFl6ZJYQQQghZII/1lnFke/DdJoQQQgghKwtPZgkhhBBCyMqy54cZCGICmGoclO8H8ldVNhJYlf5lEoyKtJVEGR0vo0heuQ1FChON00aosWLXQAzT8RSwnCiW1oMgrkEEGsWWJI+Ftpj/leZd3FigiF+tEAbMKYHZ5DCXU7wEM9LAch0GIlh4nuZ32U7Tv/J2NmlibdoXMC5+pfpYt2P5a6bwNZS/NPcDkMWu+KE6aYQrCe9zJWtJI3JtI/3Lyl0Yyl52X6/Xo/WyaV+tXrrGslblWeJXm/rVYfa+0KtgIkE8CtKSRw8JYo0KNhB24g6KXpME5vM2e9VdkwY2TfDaUB+lrlrw2pghd21oN1XqSv+FmqSukvLl4vpcJXCF9cZlTP/QXkSy8BrSuqWat3VtfW43gtgsxkRBmwRm96Eifmk9L3X6ly2nfS6kgPkshXVxPotfub4sP5HNgSg2SUJYFsQ8OmxiEr8K1hs5bCLdysmJJxKKel8lxx7u6YQQQgghZGXZ81dmCSGEEEIWh1AAWzJ8twkhhBBCyMrCk1lCCCGEELKycJgBwkB+mwBWhC8PJ65MEYUvoEhgKHKKSBChdCC4yEBy0UZ2ydKXDKWvaf3H2q3IZeWeNgVMvHlOBItAo5gl0ChqpZWldDBFVr1iklgqb1sCg+ljUrwEKdlL6jSwarlaBAOa9WNECNsmVdIXML/4FevFWkxpW1r5y/QZyF9mfpr8lfol0StJh2r2t1npXltJXmPC17T0r2n747REsOp4AMKxkuaT7DUif7mYvpe7ThG/uhHBx+LVAdKjh8Okmhc4dejFoVNFLwoHgVPBRhQlrQTWQzFBBw8PB3fM05i2SvDaWvISeBUctWJXLB/VrhK8rNy1oWuV2FVkrjr5q5oakSusrwhdSdRKclhaV6qz836qADYUbOZNXRpLAeum7EtOiswFoJK70rQSvsRXslhJmKxTv5LgZZfvxEfZq5bEshQGj3Xp87JJDJuIb6abOTVsAsFEXE4M2y2y4omMYn4ZkSwGXpklhBBCCCErC09mCSGEEELIysJhBoQQQgghC6TntcKlwnebEEIIIYSsLLwyi5jakgfpJ/HLo4vSl039qsthwL9XGSSCpaQvK7tobCuCV+yTgr8a+auSukYlm/Q8dXsWvdoUMJg+DkDc7pTMJE4ATbIXIE4RXBcBEKQs9UUC0+IZbV8CG+mT0sDELANgaxEMqGQwYOS5tosVvoAid9m2EfErVBu5K6V+pf6PQf5CU66FLNtu6l3pm6Uv14pc5fPcafrXWP9xCUzzc4U2rdusCAYgJeqFt6pOAcsfRyXrDMWdrfBwAHr0GiSZTjQITOJLCpi4eGB5TAQ4GoWrCQQeQRLrIGH5OHXxRcwrhPUxVczH12MlLwCjotcGguTlgShuBUlrI8tdRcra0LVK7srCl5G26jpXCV4hEWy63JXErrRcK3n5SgIrCWBZ9IrbH+qM9GXaq89NZ89vRZsCNpiHVvU55SvNm3bbVuqL3JX+bqRy6BvksIn0VapYSvyygti6bFYJYmmZJIYNp0UMm5i0sAmAiUhMCXNMCjtGKIQC2JLhHkwIIYQQQlYWnswSQgghhJCVhcMMCCGEEEIWiOe1wqXCd5sQQgghhKwse/7KrKQkFvFwWgbop4H8w1SwWgKr0r+sxGIksEESWK4fS/sq4piUjRxNU5qaEqZ1fXpuRdkOgRFvULcnUUwRXlNQwuI2xaSwkBrWSl+PQQLT+J5ECSy97LQcgOkiWNWW1vsYDbBWiKgSwGaIX6m9Tf1K/azoBWxL/lKxbWl9MPNR7AJqUSvPW+lrXNoaeww8hmkiWGSYgBfcqYEIVu1/qPZp67XltzG//Va8qSWdtjyLlPoFBEnJwWMS2/oocSEeS+vq4UVwVMMOmwLyelWsC+BUo6DkswwGoKxj2jaYAyQJXrmMkuYV+gIbWoteKdErCF7dzESvJID5KHdtaFeJXnW7FOlrhuBl5a6wjZLlLp9Sx4zUlerCfJFk2rQv28dO2zIA6GMUbUSmi2Dt/mXlrlRv+7RSmJXFbJ1DEo3HBbFWDhsTw4oE1k+Vwmzbelz3BB7rUQybYJNCGDkh2PMns4QQQgghi0J1PG6ZHDv484sQQgghhKwsvDJLCCGEELJAeJ/Z5cIrs4QQQgghZGXhlVnEBLAkgaVB+GbAvhNXpojCF1AkMJR0IhEpAlUje6XEo5QCFkSXWgYbk7tyQteonCOYNwVMUOY1ClzQIINpao+CV5bEoumi0CiDSZHAZMESWJ6Pv7HmFcHSOiytELZdBglgVgCbIX4B46lfqZwErpG6LeWvOJ/kL81tKH2kJHi16V8Q5PSvUlf2vanpXyhtrbA1KoLZOtsXI7IZgDb1y6Z82Ydts+JNqSv7QyvqWHp1mETxy1emJaIw5eHSziZAp4qjghiCp4AipoRp3HXDtIvPWeQvAFnfGpK2rM/Sl61rU71kpuzVJnxZmatN9drQzizT5UQvn5ftRkWvTd9Vgld6/8akr7ScFbtSfV4ulrWRwuzUyl0zJbCp7/Js2mtn00RCu99VU+joPlmkYT+lvpXBhnJYkL2KGDZxfU6qLCJYkcKK7LWJ9Vi3Lj0cwnRMCJtkESxMQ39gIg77ZY0yGFkZeDJLCCGEELIgFOUHH1kOfLcJIYQQQsjKwiuzhBBCCCELpB8MYiHHEl6ZJYQQQgghK8uevzIbPBmPTjUPri/il0cXpS+b+lWXw6B+RS2shHnUAk56wkYM0yy+1G3qAMRAMSvWiBFuRlPAkmTVtpnnF9h6ydsMAcQJoCH3K8xriDsSIOeBxW0DsCMJDGhEsBGna34RrF0Qj/1nmhW+AFSJYLPErzTfpn6Zeh2p25n8hSx/hXYjaTmpxCxN+9OIpDUrAWya2DWW/jWW8KXVflfqQn9t+iuKsJh2/HH5Jn06AyFnSvpX1+4fhl5D+lcHhx4KBxeSmzRIXb14QB2OSkgC2xAHr4oeWolgGwA6ATY0yUFDfPW8pS6JXmG+lr1sKpeVvDxauSu2x3Swo7qW5a1K+vJrU2WvNO+zECYD8WtM8rLJXba+lbtSnZ0HyldJ256oRTCM1j8WbApYHfY33K/S3wAA1X5ohcRK+kL9d2NMDpslhiXxq5XCbAKYg2LiNmcKYTYhbII+S2FpmSSCrcdlf4UeE4nJYOiwT9Yog5Fdy54/mSWEEEIIWRQK3md22fBnFiGEEEIIWVl4MksIIYQQQhd+SgoAACAASURBVFYWDjMghBBCCFkYvM/ssuHJLGLiV0oA0zIgv05nacpWAnMevu+K9yMK0SR+aSXQZPuqErrUCEHjcpdNAdO2rUkBs6KXTQELTx/mc0KY0yKLxTqF7Z9SvxSqQNC6khymyJrXNiUwoEkDkyCdjfXbUgQDRhK/pgs/c9GKDsYKmSl+pWmb8BXLakSvgSS2hfyV1pslr1yXkruiFNaVVLCh0GXFMDH1U9K/TNs0QWzYd1wca+WwVooUU2dfnsRjJAmXY2lg9TR89t0UGQwIwtVkUGdFMA+kqa4BspklsE41pH5F+atPyV+i2DBPmRLB2lv0tKIXgFHZy6Z7jQlfIQXMDYQvm/61oV1O98plI3qNJXttqhuVvTa9m5rkpVpLYWolsPi6bT0Qk79io5q61BcoYpgVvVrpS3ca/xUZuJ4jyV+pS5s6V/bBRgxLfx/Mcq1API8YtmaE5C7Pp3KfRTAniokfCmFBAtOS/hXbixQWZLBUv45+VAbbLx6/1s0gg0nHZDCy6+DJLCGEEELIAvHNj1hybOFPK0IIIYQQsrLwZJYQQgghhKwsHGZACCGEELIgVMvYeLIc9vzJbHBqNCSARQmsQ3jYRBYnrkzjwH1BTP8SCTJITgCLclQUanJilwPQh+Qj25YlmZj0lSQymxBWpYC5MD8tBSy8sOFjagKYA6ACgYbnQpSKfNgGSalfkvO/AGiQkfwCJbBEF9+MOUWwtJ6KgRC2TWwMEEakL7s9AyFM6rpYHshfjSS2lfxVi1iS9ykrZ1m5K6d/uZD+VUtc47LXPHLXYB/DMA1sTPoafy4t60ISvYaCTV5tK3thfDoPPQQO4Xju4NChD/UaaiEeLu2guoZePDoV+JgKlkSwtD1J/kri1waG8lcSm5LsFermE76S1DUmgW2V8DVN+Bor2wSvzZwINp/oNU3y0ibZy4pdRf4qdfW0vH+1CDbyoc57AjEiB04TwUTa+WG93U+tBGalRSuApadac74Sx5IE1jlfSWFrrh/MWyFskqdGCvPrUeay4leQvpwo1qMU1spguSw91jWs+9EohE3EY7/0QQTTDhMJD0KONxxmQAghhBBCVpY9f2WWEEIIIWSR8D6zy4XvNiGEEEIIWVl4ZZYQQgghZEGoCRYhy4FXZgkhhBBCyMqy56/Mio2z1TayNkUHuqreRhDKlEeKss13MjCxsiVGVCvrvI6oLeVUP1ekbZKvK2M8tJU7GJTI2nS3grB+CduenseFuwqE+xWkqNl8b4OwDfGuB9u6owEEOccS5U4Eg7sapJ9aW9zVIL0sy2MZriRDrXn43Lbe3sUgzY9F2Nq2pm6eOxmEZVDmbYRt1ae+04E6DO5IMIybnX53gzbKVgXx7gjDux2U/Rpln4VZH1JfcxcDUfMo8/Z4Cm/TtPjaetqW56VXQRcPoA4O0BiJq4gHlYuvwaPXLt/VAEDoa+5ikNdp9sw0hi7duSDV2bsXDO5koC5H1oaY2hRHO4ys3dBwN4IN35l+Xb4rwVhc7WaKrB25m0Hv3dx3LmjvWjB2xwLV+k4Fw7sXIN+NoLprQS5sdSeDuT/qwoxD3d7xoL2bRvput3U2drmdn3aXg6MjdznIcerpjgZQiKxhzcynuxvYuNuJeHOXg3JXg0lTbu9sUN/RoLm7gfRYVxNxqx6/Fo990oeo2xhxu08mvKsBOa7s+ZNZQgghhJBFwjjb5cJhBoQQQgghZGXhlVlCCCGEkAWRhuGQ5cErs4QQQgghZGXhlVkgRNhqkr3C4PgN6cIgfGmksEoQ0xhnWwb5iwDOKVRj6GslxRSRRkUhLkgQNr62lsG2H2lrJbFK2nFRukr9IVm4UQjgNAhYxXQIklgnkD4oX0EK0yKBJWlsuxIYMH+0beqLYX90XW2CWCFMZIolMgetADYmfdnyFPELaCJsU72p07wO1HWuPG8Su9TKXVkQM4KWk0rKqmNuxeyLZZ9KEblWEmvbMCJ7WaFrLPJ2agyukcPC+4Fqf02bbN/eIlyikmRSW/gIymffNfLXVjJYinl14sMUHn2UvY4qsC7IElgfo2RDX6AzV182pqy/lb0AjApfNrI2RdT2ppzjalN5RPra9G5qZO2Gj9G0EGz6JH7VElhvyqqh37yy1yzRywpfsBG2eQcyh2sjhsEsZxkc3tu9EtbsFyKoHbKRqOX45Zn7p35ln9W8XBHAjAhm1pX+ZnQx0hZIXw1R/vJuqhDWuc4IYB5rzuOoKNa8jbdVTFw/kMEmrodDnHebRgbr5464PZoEMFHsh2JDPUUwclzhySwhhBBCyAJhAthy4btNCCGEEEJWFp7MEkIIIYSQlYXDDAghhBBCFoUyznbZ7PmTWQHgEAbLd6pZAusQHkX48nDiyhRhAH8nCm/kFN8O+HeI8og0EowMysNUL4Rr51rqqxSwGEhkc2rESF5VihhK2a4nJYYlqQwa0r5UgiSWksIESSIzEpgDxOu2JDCIQJK5MUUCA7YpguX25j8a/LSOW9CuZ5b0ZeuM6DWa+pWWG0v5iv2s/JW/C11K+qrlL831VrKS+nN2rQg2XeaaWe/q8tzpX6auiGl10lcq26SvSp4B0KaAJSksvD3Tk79myV9eHTwUXRS/QuqXzylgMBJYJ0GWcojiV9yz/Yz/3LKyV+qbhK88b6Svo1EuOxbSV5X0lVLBvAsCF0w5i2BD4ctHaSzJXkAreDWyV6pLb0iuR162lbtsClhlY1VlGa9vadsG5xZSFYfyl1Rd8tMawcv2k6ps+qGIYWNSWO/dIClsU1xOCUuCWBLC1pyHeMWa89iIf4dSOtia9EUGE49f+y4ngx2VNaxJj4kPfSbSo9O1SgCblQq2XzawLj02ZBNH4bCuIQlsgyIY2QXs2mEGN998M84++2zs378fF110Ee64446Z/b/whS/gkksuwcknn4wnPvGJeM1rXoP//M//XNLWEkIIIYTE+8xCjvtjL7ErT2Y/9alP4ZprrsGf//mf4xvf+AYuvfRSvOIVr8CPf/zj0f4//OEP8ZrXvAYvfOEL8Y1vfANf+tKX8Mgjj+CVr3zlkrecEEIIIYQsk115MvuhD30IV155Jd785jfj2c9+Nm666SaceeaZ+OhHPzra/95778XGxgZuuOEGPPOZz8QFF1yA6667Dj/4wQ/w4IMPLnnrCSGEEELIsth1J7NHjx7FvffeiyuuuKKqv+KKK3DXXXeNLnPxxRdjMpngYx/7GPq+x0MPPYRPfOITeO5zn4snPvGJy9hsQgghhBAAyOPPj+djL7HrBLAHH3wQfd/j9NNPr+pPP/10fOlLXxpd5ulPfzpuu+02/N7v/R6uvvpqeO9x4YUX4nOf+9xo/8OHD+Pw4cMAgP/5RRzUnhLANCSsTFyPDe2i8OXRRekrpbGkQfeqkufLQ7IAIJqkHZN8lKWd0DeJMTIqg81IAcvL2TrJz1XVIz2vGumrCF5wRR4LQpdCfZDAkOUuVO3wSZCYXwID0NTFlfra1tBYL37E8LA/wWY5Xm1C2Dy06V9tnU37GpnqtDSwpr6Sv0bny3NpXL6Sv6SRvzqznAxTvcYEMU39RmSu1DaQyWxSGGYlfZW6Mj+e/lUlLWVRZih8lZSkOEUtgdUiWJA3p+HVoZMeAGLqV49eSwpYSvyqLEvx6NGhg1Yy2GDdZgedJXz1cOhVKunLq2BD13KflALmowSWBTCVPN3Ubsukr1nSV5vy1XtXJXwlGWxu2auSuYzoNU3yahO+miSwqclegwSwqR/3OO1qZcpMkwSWj3UrieXv2JSMCPM9HL7Dp0lhzg2TwUJdEsJcTAULdZveoXMeG30XZDBR9Br2903n4HydDLYpHs6vxTSwDpuuD31cX6WCFQGsy9ONLIJ12JC1URFsP3pM1GNDPPaJYj2KYPtkLa6LIhg59uy6K7MJaU4qVHVQlzhy5Aj++I//GG984xtx99134/bbb8fJJ5+M3//934cfMdoPHTqEe+65B/fccw9OecKuO58nhBBCCCFzsuvO5J74xCei6zocOXKkqn/ggQcGV2sTH/nIR3DSSSfhxhtvzHV///d/j6c+9am466678IIXvOCYbjMhhBBCCID8Px1keey6K7Pr6+u46KKLcNttt1X1t912Gy699NLRZX71q1+h6+r/ykjzY1dmCSGEEELIicGuO5kFgGuvvRYf//jH8bGPfQzf/e53cc011+CnP/0p/uRP/gQAcN111+Gyyy7L/V/1qlfh61//Ot7znvfg+9//Pr7+9a/jj/7oj/DUpz4VF1100fF6GYQQQgjZgxxv+WuvXRnedcMMAOAP/uAP8POf/xzvfe97cf/99+O8887Dv/3bv+FpT3saAOD+++/HD37wg9z/pS99KW699VbceOONeP/7348DBw7g+c9/Pj7/+c/jpJNO2vL5cupXksDEw6liIj02pEMnWslfDlH+6qVKbUmJYGpEMBjJS6wQA9QCjAvWgGYRAJUIVoSwOgVslgyW603Kl10+uAthG7Mg1imkj5JXrgfECdRHkSELX3HqgSSBoROg9wMJLCd/qQ7FMKCkgYlU0lYlgqU222deGWxe2nHZY0lftjwmfqXpSOoXkISu0mea/KV5XUbeGkn0Suu38pcVAouEJVV6V0gpQ+lr5a4tpK5W/LKCl7o6/WtsHVYGEzO1jk2WYRrJy7V1xvzZSvwCws3M0//j9JCw66mgkyhvqUewGVFJYFUCWJTBWpLsFZ7H5fmtpK8wjcJXI3+1wpdN+0qy14aG5VPSVxC/ynzv3VTpq8/pX8OUL1WB91sLX1vKXq3oNSZ+wdaVKmnFsLY8Nj8v7d97GStLlL1MnZiZSmC0fSUeH7OlMB/l2jYlLEtgcb73RT7unBuXwWIy2KbERDD1WJM+pIqpq1PB1GFTOmy4HhPdngi23x3FRLssgu2XTWzA46h67I+JYD02MEGP/VjDGjp0siuvnZEThF15MgsAV111Fa666qrRto9//OODute//vV4/etff4y3ihBCCCGE7CZ27cksIYQQQsiqodh7/81/vOF1f0IIIYQQsrLwyiwhhBBCyALxgwHZ5Fiy509mBYoOCocwYL5TLRKYBAnMi6B3ITXHq8C7Ht5LllNcFlXSYP+S4tIrwqB+F2UIk9AFmx6TJZgog3kjf7mQJJaFsG2mgFnhKwlcrQyWNkchgNMijCGKQl6DBIaQ/FVJYBpFsmhhaBdfrI/yhgTxq00Dq8QwoPw/wYjIlbwaadusDNaZsvmE23SxqVjZy65/RnlL8cvUZaFrXvnLvv+N/KXO9i37QZK6tBXFmn6tzKWDeRntl+swlMDG1t0KX5VIE4WXnPgltfBiU5FcqssfVUkES/NbiV9bUZK/MJDAeg3JXz0cOvHwOv6fWlb4AjCX9LWItK8ifnVV8ldvBTANaV5jSV99FMJq4SuIXd7LXMLXlrJXK3qlXcEKXiMCWFpOqrqRN/+xJoA1dXZz86Fvp9L0y3Vpx03fszOksCyC1SlhAsA7Xx0LzswnGcw5j967mAIm6ETRRynMiaL3PqSCiWLNe6y5KINlAWxnIlgPCfIXNjHRDr1zWI/LevSYwMNDMdEePv4d3YcJ08DIMYPDDAghhBBCyMqy56/MEkIIIYQsDGUC2LLhlVlCCCGEELKy8GSWEEIIIYSsLBxmgJDmsy49NlICmAaZJElgLiZ7tSlgbSJR54IYEsf85xSwLFcJojAVpZ/eyl1q5ICwXTYFDA6Amrq4zq1SwLRN/3IAfHy+3BbFruQcpX4aZTGUPuKCZKUwElgHaK8oeleSwwD1pr5N/nJRGBtLA5sibk0VwWZ/wCNiWEOb/DVW10pfto+dNuIXgFr0im1byl85vUtq+Usa+WskyasWwcZkLWkErVjv2n4jfUYlLy3tKHXD5K/St5Vpwr5XBMokfKUyMEX82tbOUCjpXyHhy6Gv28MBW8Si+Dy9jkssVgqz0ldYZnbaV5a9otQVUr7KMlb82mnaV5bAjODVD1K+xqUv9bK18JU/fDOfy/EtHAhipZ/YOthlzJs8IoZZZIvDfMai9cJSdk+VpkJsvfm+TW2SREdzXELq/T4fO+a7H0YIcwrRLstg4jy877JY7JMUpuG7s3MevRd0Lv4tivW9S8mWRfpaEz8igM0vgu1zDt67KIN12C8bcX4T+7ER5DD16KXHunj08FiHoofumTSwlK5HlseJvUcRQgghhJATGl6ZJYQQQghZILwyu1x4ZZYQQgghhKwsPJklhBBCCCEry54fZiBATP/ymMgmNrQrCWCq6ODRwRvhy8OJK1PUooqTIKWkAfpJXknhX/Wg/7gFVs5SjKaAIdUp5k8BM0leuQ9Mn/IGQKIUFuqi3NUB6GNZkJUvdALpxyWwsErBXBJYSu8aSwND2K6xNDAAUCN1Vf6PTQRDUw/UbWPS19gymEP6AmrxK06npn4N6jC//OWQ5S/k/qZtIGtJNW+FsSSI1WKKNPNNH4wJZe06hmWtBJiSUFenfdm3Lxxz4a1tyijztr2rpluLYV4dOuljWYrwlT7ulASGIHF1zQ7Zm+sBffxvxVnSVxa+MJL61YhfbcrXmPi1mZLBkuw1kvhl0758rE8pYBrrNMpd6ueQvnz68sBQAAPy/DTZqxK9WsnLrnesvinv9D9y2+XU1krdUcrmlI2t6s3xAvudbZ5scAwJBglh+VhVwKe6WgZzovA+JYIpvJcwVcltKRWscz6kgnmHNefhXUiE2xQf5tXDux6bc4pg+2QTvQsC4UaUwfaLwEuQwfbH9a9LDy9BBPPo0cc0sD6mge0TxQTdCZ0GphAOM1gyvDJLCCGEEEJWFp7MEkIIIYSQlWXPDzMghBBCCFkkymEGS4VXZgkhhBBCyMrCK7Mx6avTII1MpMeGrhUJTKz45dFF6SvVJ0llzXmod1n4cqJQkTCe3ymkt4lLJe0rCF0hKWzLFLAka0VBZWYKmIsChxFtNAlVUTYSr40IFupSSpggtQcJQb2RwPLm1xIYfFa/MFMCgwDeuBbT0sCy6CUhEWxE8NJBwld8bWNsJX2ldbqmn11uJ+KXrR/UYcfyVxK+VCQIe6mc9wmZmeSlg/n0nNOXGQotOtJu0r/ceOJXWE5zuUr+ym+FlrcXGEpfjQjW0gpbHoIOQc5KglifTDhBEb40JAN6BHHKIfUdSitW+Ap9XJY/WvHLCl859SsKYo9V/LLSV5LA1CR+jaV9hTKgMSUsSV5J/hpIXzsVvlrZy4heU5O/MF6fGHzsc6Z/lRUMi7XoVaZiVy9S16d9OS0jplFKu6SdGrbeLpPKAnXpb0GRwcQBffqbIhq+U12SvoJ07GKiZCeaE8F0lggWE8G86+Eh8OKbaXj0cOjFYaJR/HIb8OLgRaL8tYHeS0gDQ9jfUxrYfvTo1WN/TAPrsYH98PDw2CeTbX5oq4PfsZ5IdgKvzBJCCCGEkJWFJ7OEEEIIIWRl4TADQgghhJAFoco422XDK7OEEEIIIWRl2fNXZkWALktgQfrKSWCxvkoXMvJXKq+JhxfJgkrnFKopBcwkgcWEL7h42w6ncV5y6tCWKWBJ+gEgPcbFLyDIVVbWcchpYEX6CoJB8hWyUJbnBegU0kfRKyWZIcpGvQ4lMBeFhVkSWJP8JWlbUl0rhyXST6/k9FgZrBHDhlLYNneKafO2vJX4ldq2SP0CiuRl5S/timiS2638JU2bGEnMSl1p3hU5rEoKM2W0y7SiCoYSmJUTW7FlmP5VpK+0f2YvpknNC2+fDuadmT8WVElgiZGLLEn4AkoS2Ky0r90ifmUBbFraV5TCoOE4nFv62kr4mpb+hVKenghmPoqB+PUYr4CZFWahy1bEadXWTo3wlftVSWH2GEUthI0cY0XURTneo/CV/h6IC99xJflL4T3gnIeXMFWdLYKpCrwL+9Ga91iLiWBr4uO0g3ebIccrymDehX1onwuCV4+wD6Y0MJ/q1QVRTB32y2Z8WR6AwqPHvvihrqFDJyfedTXemmu5nHh7ECGEEEII2TPwZJYQQgghhKwse36YASGEEELI4hAKYEuGV2YJIYQQQsjKsuevzAoUE9nEUe1CypcG4WsiPTakg1NFB48O3shfHk4c1lJqikqVCGYfzmkYCC4hmWXbKWBGlBnMp0Qvl1czFL9EAKdZ/tIoFeR5J4gRR7EuJnzFeUVZXlNCGHYmgeU0r63SwGbVAyYVDEUGG/1wTb+5d4iRX9NbSF8ApopfuW2HqV9p+UHyV5ZD4r7SDSUTdc28aR+IWm6k3U0XwQbpX8mXinVteyXM5PoocrWipBTRywlMCp/Gt9hImEnQRCybafnIxvcBn6zIahpSw7IEFunVoYPPoldZR3hhRQCbLX4lwSulhCURbFM79CoDCWxTgyCWRDArfiXZa5b45b0Lh1yehg9P8wN12lcuoxbAgFwvqR6ln5W+BsKXkbgEzfyI6FV9XPG567op5RHScrMvkpVjDagP91oGUyN31Yu2ddWKxo6F6ju+lcHM3wYvVYKe5nmBajhWvJNwzHlAnIeqy19900QwRZQVxaFTH1PAJP4960NZBb3r4VWwpi7UmTSwLHiJgxcHOMBjM8pgDr1sAh6hDSFpz6MH0CNuAYBNTKDYh7UTUgLb7dxwww349Kc/je9973vYt28fnv/85+OGG27Aeeedl/uoKt7znvfg8OHD+OUvf4nnPe95+MhHPoLf/M3fPI5bPoR7DyGEEELIAtHqR+PxeWzF7bffjquuugp33XUXvvzlL2NtbQ2XX345fvGLX+Q+N954Iz74wQ/ipptuwt13343TTjsNL3vZy/DQQw8dy7dv2+z5K7OEEEIIIXuNL3zhC9X8LbfcglNOOQVf/epX8epXvxqqig9/+MN45zvfide97nUAgE984hM47bTTcOutt+Itb3nL8djsUXhllhBCCCFkQaRhHMf7sV0eeugheO9x6qmnAgB++MMf4siRI7jiiitynwMHDuBFL3oR7rrrrkW9XQuBJ7OEEEIIIScYP/vZz3DxxRfnx+HDh2f2v+aaa3DBBRfgkksuAQAcOXIEAHD66adX/U4//fTctlvgMAOEBLB16bGha+hE0amHE4+J9OglDHzv4UIKShS+fEz9qmWUkBKmUWixZecAr7XkVUky01LATL8qBSzPF/GmFr9inYvSgEldKqJOdBVsnQMkyltZbnACYD4JLJto8SnVw0ghW6eBQQRipS0jgg3agFoGgwSZzbIdCWxM/nIy3r4d8cvU5x/Lc8hfad1byl+Dcnq+EXHLmTpT1in9KxEMQwnMSmIDqSw/h03/wmBfDftgk/oVp3beSmDl4xnW2bbt4qMEFl5sbRd6dNW8lb7C/PbFL6+uSvpKElhJ/QpC2KaPSV+2HCWvWYlfrfjl4wdsxS/16cNEMIasADaW9OWHSV6j0tc04WtUAJNRGSwxaMOU+bZ/mi9PM2WBKfO2Ph6P6ZBP8lbuZ5dp59OC9js/lyX3UTcig6XG1F/jc2tYNiSDhTqBGxXBwnpjMqXGq4YuyJOhLFhLf9ucwKuHT4Kz+Ph3zw3SwAAEGcyF/c9LkMrgwvEAAB7l+EjT/egBKHrtsT++h5TAFs+TnvQk3HPPPXP1vfbaa3HnnXfizjvvRNfV33XS/G3UdC6zi+CeQwghhBCyKDT+iDjOj3l529vehn/8x3/El7/8ZTzjGc/I9WeccQYADK7CPvDAA4OrtccbnswSQgghhOxBrrnmGtx666348pe/jHPPPbdqO/vss3HGGWfgtttuy3WPPvoo7rjjDlx66aXL3tSZcJgBIYQQQsge4+qrr8Ytt9yCz3zmMzj11FPzFdiDBw/i4MGDEBG89a1vxfve9z6ce+65OOecc/De974XBw8exBve8IbjvPU1PJklhBBCCFkgfjAQe/lstQU333wzAOCyyy6r6t/97nfj+uuvBwC84x3vwCOPPIKrr746hyZ88YtfxMknn3wMtnjn7PmT2SCWhOSviWxiQzt04rME1omfmQKWp1B0LiQHSUwuSvKXmHQvEc2pXFCEgR5RrlAXUsKsEJZFryiF1TJYbE+OgNTtKSGsEsOq9C/EBLEgdVUyGQTqtCRwmWVHJTAFpA+DdOZJA5OUGGXTwDoAOl0EA6KsAozLYEAjhNlPOdIKYlbwGuwcMloeSF+pfUwKm5b6lTZrlvyVJaot5C/XyltSRK+U4BXXMRC0mn2jkrsakSWIaEX6UptMlF/PVulfmh/D1C/k48Wm6YWPqa5PqV/lYwzC5U6kL6CkgXVQeA3HdZv2NegPI7nMEL96raWvHm6Q9GUlsM0od21ql8tpHb2PKWBASP/yLgg9MQksiV92qt6IXx7hZupW/EopX0kAA4rA1QhhogjfCZUANkX6miZ8RQtrugzWTDHStgVTd4N5zy9aeWusLh23cZLlsqmpd7ZOTJ2WejXHffq7oahTwdL3ff57EL/zRMvfDLhcp+qisKNQp3AqUPXQ+LfKx79bGuWvNB1LAwMQpbAigHkXZcMsfjnAA338ThsKYH18sT16kwQGABN0mEgtH5Fjh84xsFZEcP311+eT293Knj+ZJYQQQghZFArMlcB1rDn+W7A8KIARQgghhJCVhSezhBBCCCFkZeEwA0IIIYSQhbGzONlFs5euVvJkFghylwTBayI9jmoXhBLVIoGJFb88uih9OVGsic+D4HMSmPPw6oJg5rQkZhgZrAg9as0rI/4gSE4SEnuQwom0LDuWApbSmpLolYUip5X8lctAFJBSyhei+BW2U4EsiU2VwKBBvvIlDWymBBbFhpQGFoSu+IFY2SuJXklyiJJYbo/bXslgs1K/ujm/YNrEEzvvmj7ziF/xPRykfqXlFyF/udKvFr2knnd1uWwTRhO9xqUxHUhkc6V/ubLPWiGsiJLp7QkSpU34StJXfSzWIhgAdMb+GRPC+rITx/c/iF9AkVRyTSbbJQAAIABJREFU2whW+krzs8SvIHy5nP61qV1O+rISWJG/XE4A631d7mOKV5C/YuJXlMRK6lcRv1TTA8PErzHxy2M87asRuqQVxTDsM5rwZaSvVgDLdWY+UX2MY2LYnEw7+qvzjiRZTVtAsqc1lLyA8H0kZp1V2lfziP3zOtX2jfX5b0eSLqUWwZyG8ZlJJo5/T7yTKIWFvz/p75A6jWM6UyqYQJ0PH/eMNLBEkMGi8IUgfKXUL3gMRDDfJILV72Ufv6uLBAaAEhjZNjyZJYQQQghZINtJ4CKPnb10FZoQQgghhJxg8GSWEEIIIYSsLBxmQAghhBCyQHbDfWb3Env+ZFag6OxDPNalh8cmNqQLElisz3JXlE7WXB9TUiSngEls91Fg6ZyHeheEFqfoFcMUMDOgv0oBi0lO0OITJbGmKFbxddQ+y0DKCaJVXG/yX5KQk0Ww0J7Ehkr8suUZEpg4gc6SwOLrDOJGaEMXBC5NaWCN7JVEr8FXg5XBEIWW/MFOSQjbApWRL6A26ctO0zIjUthA/EovYkrqV1pXSNqqBbGt5C+73pL6ZdaX5+uy5m1oBC4jgYXtMm1t3/y6tDy/SQeDaR+kf8W3YVr6l8T9catkLye+SQTzM3oP6fOLRkz/Gv9DNJr8FYUvIMhlNunLR2Er1Lmc9JVSv5IENi31a9M7qIb2lPBVyV8q8N5BNaSABfkL0JgSpl62L37F9iJ7AXMnfeWy1DKX7QMzD1OHYd2oEDZLDtsBWebKKzRFu/+nNq37jEtgdt4IYXPKYPl4cvFzyYJY6Z+PUS1TzfMSBC8H+PhdqOohsV7j3xoXI93SPjmWBoYO+bs1pH/5sL+7TcBP0KPPaWBjIpjHZkyaLG+ZTdfr4eMTUAIjO4fDDAghhBBCyMqy56/MEkIIIYQsClUOM1g2vDJLCCGEEEJWFl6ZJYQQQghZILshAWwvsedPZgXARHr0kJD8hZDw5TSkgXlxIe3EC3px8CLwIrnOJhKJKNach6rMnwLm4n9HmBSwJIHlhC8XRvanIKxK7DLzlRyQ2l1crY9elRPAq5HC4jJG6oI3khiwtQSmCo2JYVkMCnEyRTSJ2yaqdRqYIEheELOtKSks0pU+8KjlLpv2ZYQwIEph8bVvybT/o7BCWCt92eW2I36l/nOkfgFG6Johf6lr5C/Tv5K2jOw1TA+r5S4rjNWimTbzpuxsu1b9x9K/xPk6/SunfcEkfdVi2DAJbOfiFxAkriR9ddAseY3Ril8ARlO/WglsVuqXj/WzUr9Sylfvg/CVxLKU9pWSvxDroQL1RfpKEhjsNGz8uPjlrdRl6pDqZkhfreRl+8C0o5bCBu0zJLBR6Wu7IphUk7AKGbZXglg5zGspbNrUfj9LqJxbBnPxczHHD7SkRorKMBEsCsNJHA51QTgWODjR8DGrq9LAuvQBwwHOAz4eAw5AH9LEguzch2SxSJHBEKWv0GZFsPwd6U19+zmkP1JGAnMQdML/PCbzwT2FEEIIIYSsLHv+yiwhhBBCyCJhnO1y4ZVZQgghhBCysvBklhBCCCGErCwcZgDk9K916bGBkPrViaLTIIPNSgFL82sSBsZrL9tLAcsigOTB9mWwvxZpyEUpyhuZQEp7FsGAUfErCT1VOhiSFIY8UH9HEhhCwpfmZKDtpIEl2Su+H4pKBAuyV/Vh1TIYMF0Is8tslyYJrEoGG5G+Qp/ULmUZadpNWthW8lctWMmW8lcleznTvxG8pkknNvVrIIK58LrV6chzIUgmbmT9iFMXDaAt0r9C3TD9ayh9+Ur86owIlpLAujnMv14dOvGVBDaNnP41Q/waS/2ywldKACvil8NmlMVCypeRwHaS+qWpLOEYa6WvKGqFZK80H9pGxa+Y/lWJXykRDCPi16gYVt7DgfDVymJo2lHXzZ3+Na1+ysebjt1W9ALKYT4qfE0pZyHXtpljRvLOH15ElsycaTffbyEJrBHBclokigiWJOAog6nG78MoGPso7IoLK8/7i1M4FagGgVmdjw5vSAJbQxQLbRqYCtBtlvn03Zakr3aa8OujElgHjd/dRQLbh7WVlcB4n9nlspp7CSGEEEIIIeCVWUIIIYSQhaEQXpldMrwySwghhBBCVhaezBJCCCGEkJVlzw8zyFIJPBw8Jtqjl01saIdOfJHAxMOpooNHB5+Xm7g+DJIXmTsFzDnAq0JSSksaqB8TwYIcFQUqNQJXnGZBCmH5VvBKQpdNW7Lyl4oEocw39Yjrh5nfjgQWtyo4CDMksCg+2DSwInrVIhgA6JgIBlSJX60QBqBIYdtEG/mr+sk3kgg2NfEr9rFpXmOpX3kdrfzVimJdI4s18leRvUqfStZytp+Usqv75Hk0y6f1OTSyl1bl0FfLvAvledK/qpSvGelf5aPRKvWrywli9WffzgNB4LLrSoKXXZ9NA2vFL1tO8temd0YCc5XwZRPANr2ryr13dTmKXpX4Fett4pdN/UopX1XqV0z1ytMscRUpTHIdpopfpW3n0tcs4WvL9C/b1tY3bduiOVzHEsBSvdi6OJ/3+9SW1mePUbu9MvYwqWBJ8kqPtPv1yN8PovF718hfohK/WzQIqCl90WmUwNK6ShoYVIOMmywthygRKrwmwauv0sCOpjQw9UH+6tfQuz63T5W/ZkhglagpfRayoastge10lyQ7Y/X2EEIIIYQQQiJ7/sosIYQQQsjCUN6aa9nwyiwhhBBCCFlZeDJLCCGEEEJWFg4zADCBxwZckLskCF4T6dHDoZcodEgoexdEjx49PAS+lyqhaM35LVPARILsJVrkHUkD9bNEE8supl1pEGQgjRTmUuRLFLEkygZW+jFtWSDzcRtQ+ll5rJa9pktgiNJWksCS2KUmaSgn0iQpQZH0MKBDTh6aJoKhC6k1CgxTwWzilxHC4laFwtZBUIGxn3YjwhdQS19h3pgkrRgmSc4ofeZO/UIQvwbLTJG/KlnLCF+V4JW3B/MtP5C76n5j5SJ/2WWL7OWy9IVB+pczb2Wb/pU/KiOIhY+uiGBW4AK2TgJLMlcXlxuTvoDZ4ldK/QoSWBfbi/CVEsBK8leXy713VTmJX2E+pH2lJDAf57eV+uXLcSBZBkOVACZREJtb/Ipv6TTxa6b01fSp2tC0o64bJoBN0Wym2TdT/uc3HWsy1k+M7GXaclJX20dqYWxUBhOzvO3vyt+A6rs8fS+nPnFFSQTTmBgpsS0f81n8Qp0GhpDYFb6rPVRdlJMVcD5KXx5AB+98Fg9zApgD0K/BJ/kLqBPC5pDAOq1PP7r8ofVIO6FDjw6CbhWvu9EAWyoruIcQQgghhBAS4MksIYQQQghZWTjMgBBCCCFkgfBuBsuFV2YJIYQQQsjKsuevzApCatAEHj16bOhaSCCJ6V/zpIA58VgTgXc9vJcdpYDlxCdFlr/UyGJwklyrLB0UgUCzPCRGNMjiVqzLyWExHUxTUoyRv7YrgQniekSzMDJvGliWxSAxiUaGIpgAiH0ADGUwYLoQluh2smPUv6qrH9lj0pdZZjTxK/arJK64rqnyVyVhleVC3bj8laSwVv7K6WCD9RgRrJHC8vIOUKd1fXrdbfpX7FtJYGa/RBS+igw2TP9KjzHS8WaTwDqp5bC2/xi9OnTiqxQwK3tZfPyAe3V1uZG/NrSDj32S8NXKX5u+JIJtRnlrU0Pq16YPW9LHFLCc/KVW+goSmPrwnCHpC1umfpXEL9SiV5TEktQ1U/yyy2wlfWHYp623y7TlOu1LR+pGPqidCDf50IzfVzJsC/WSha7cNk0IG5PB0vM0x1e1riRspe8Ph0oEUxfX402fZOspwneJIqQ7QsbTwNLBG/uFdgdfSZKukcDsfEgAS93axdCvzSWBOfhc7qoPbjMmgPXxuPQAYhKYTLBK7DCAkuwQXpklhBBCCCErC09mCSGEEELIyrLnhxkQQgghhCwKBQWwZcMrs4QQQgghZGXZ81dmBYgDzsNjIpvoIeghOCodnAbZpFMtElgUTtZcTAFTgRc3dwqYi2lf4hTSh4H+KdVLswSWpK+SFCaCMojfG6ELQK1dGVlLzHq9Kac+SRAw0kKQurClBAbVLI2kZ88S2RQJDF0SUTQ6Y1IEBkUtgkX5S3KftL5aBkvPYYUwYIoksgWjP6admPZG+orPV6V9xfdqIH7lMsbFr9TupCT4pOesRK8dyl9OqvrcZkWwQepXI4g5W9ZKEAuvOclfrQQWxS5npS+Mpn/ZdC9ppkW61PjR+FoEM0dEK38l6avFSmC2zi6X6qalfoVyLX9taJG9QuqXw6Z2uZzXFeWvlPKV5K8+CmFJ/koPxOfVKHWpl5z+lVO/orQ1LfVL2nkrdVWi1zbFry2kLzs/LoTVslebClbVYdi2I6Qujkpg6UnNMTlLCNtSBrPHV1p9266oRLCU5pX6BDFMohimuXuQvKJwm4zhtG1pHfkFanwt4Y+Q5kc4pp0KVOMxYyQwAHUiWGIOCcypB7AO4GgsB9Lf4EJIAnPwUQhzmMhObF6yF9jzJ7OEEEIIIQsj/ZgkS4PDDAghhBBCyMrCK7OEEEIIIQuE95ldLrwySwghhBBCVhZemRXBRIAeHhvqKhlsXXp4cfDYhJcghXlx6MXBS5AwtpsC1olCReGch6qDRClMogSGKNek5J48j5DiolGagUiWxqywY+dTagwQpY4o+EwrZ6ksJQFJkb3GJDCBBPEnCRxeivBjRBSJQgFUYlNJA0PazkYEQxdlEC9ZBGtTwYAoR6VfwF0Sv4wUZvFTfiq78bFNWdrK+0rZZ0qfpm4O8Ssvt43UrzJtJC8rdo0IXKOJXo34VUlhaduqdh2VwsbKtRCjeZ8UF9Luwn61dfpXeKuG0ldK/0Js74wIVj7OkNI3jSR8WSHMCl8JK36l+VnyVxK+WvkrpH7JQP7KCWBR/urjfJK/fEr70iJ/aZTCrPSl6VgbCGAwyV9G5GpTwMKLLNJWate6fprYNbV9Vt88r3UbSnsleo2IYIM+lllXxaYMZUzHsrR9rMSV503yHRohrDkORqWvkbr8fd+2K8L3RvreM8dtEK5iuyKkesX+SR7OgqaPX7Zx41Qlri+8WT4FfQHIxpZDlr6C8NUXCSw994gE5nwXZa94fMZppzb5a61KBHOoZTCX5S+NiZs9HASd8BocGcKTWUIIIYSQRcJhBkuFP3EIIYQQQsjKwiuzhBBCCCELQ5gAtmR4ZZYQQgghhKwse/7KbBpDH9K/PHr0If1LuzAoXfzMFDAnHhPXVylga9LDOxmkgHUupKs4CakrKQnMicKL5IH4qqUcBCiFSJCtbK6WaJGJJAo3GgWj7BNYwauZL+UoeDUSGFIa2UgSWKpPyV6CuM4oc81KA0OStqKPMCaCica1JhEMUqWCVSlfqS6Spat2zFI35y/lttuY8GXrnXleI4Skdc0Uv3IfmU/+cnXdVPnLNXVJILGyV1tu1yHIKV+5Pr0/YgSYLIhpmY+JYOJiOdYvIv0rvOWapS+b9OVGEr5m0aaCJekLqMUvAFPlr03t0EcJbFODzLXpO3hIJX+l8jT5q/clASzJX967ELSX5C8VqI/fEb6kgAUBLO5glfiFLVO/Un1qG62fIYDNFL+mSV9W8mqFr3lEsLZ+pH0mY18Fg+M+rjIdytL0s1OTEDYqgzVSl6T1pj9A1bpGltHUL3x26rR8jUr4vk7pXzkNLKaDpb8VIaVPgggb/8bEfMX8ts2WwDyAbiCBidfSVRQD99Kkf3Ux8atK/tI6+Suk+oVkv5wKph7AJgBgH9YogZEBe/5klhBCCCFkoVAAWyq79ufNzTffjLPPPhv79+/HRRddhDvuuGNmf1XFhz/8YZx77rnYt28fzjzzTLzzne9c0tYSQgghhJDjwa68MvupT30K11xzDW6++Wa84AUvwM0334xXvOIV+M53voPf+I3fGF3m7W9/O/71X/8V73//+3H++efjv//7v3H//fcvecsJIYQQQsgy2ZUnsx/60Idw5ZVX4s1vfjMA4KabbsLnP/95fPSjH8UNN9ww6P+9730PN910E775zW/i2c9+dq6/8MILl7bNhBBCCCFQ8G4GS2bXncwePXoU9957L/7sz/6sqr/iiitw1113jS7zL//yL3jGM56Bz3/+83jVq14F7z1e/OIX4/3vfz9OO+20Qf/Dhw/j8OHDAICf/9xjXQQeiqPapH+lXJJZKWASxI8qBUxK6tdavEVHSv5KEpiPIoxzil6DAJOkH4liWJFpijBlJYJK2IqvTbxmwUhsH5hlEMWsqjwugSWxK0lgQSopwleQPaTUialTJKurSgODppdTRKiZIlgyHRoZDPn5GiEsYb9LtgrKbtO+0mJjwhdQS1/muWoJDOPiV+o/h/gFhM+mFsEQRbDtyV+VPDalnLclraORUVKaUO4TRa80DftrWkZr6Qsw83H/j8dJ59LUozMSWJv+BRRJLHwMMVko9t0JVvoC6jSwlPoFYKHyV5/ni/zlfVl/kr98TPiq5C8fPgxN0ldO/JKY2FXqqxQvOw9bn0QskwpW1cddtkkDG6ubngw2Q/oaE77GRK9FyV8WqYv18T5Sb45tK4RVQlcrg41IX4OEr7YuHodi26rnlep5skiW0sCgZVtj3yTrwnxHAQuQwBIOQL8GdJuAD8dkWFRLGlhK/IoCWAefpTAA6CTMdzH5K9ADojEVrEcHwf9l78yDLqnq8/98T987MGGZQIBhACUGxQ21BBRKIosKQShFkRRKwCEqKFIFiEEB9TdIaaoiLhCIC0pBwAWR0iQKMYyCK1owEhPikogyogyEJYjMlDPz3j7f3x9n6XNO973vfe+88877Ms9nqqdPn3N6uUv37dtvf+5Tzd87JMkWYt69Ix555BHUdY2lS5dm9UuXLsWDDz7YOc+vfvUr/PrXv8b111+Pa665Btdddx1+/vOf41WvehWsbdvNp59+OlatWoVVq1Zhlz+Zd08BIYQQQhYyOg+GrYh5d2U2IMWVMlVt1QWstdiwYQOuu+467LvvvgCA6667Ds985jNx55134qCDDtrs20sIIYQQQuaeeXdZcpdddkFVVa2rsA899FDram1g2bJl6PV68UQWAJ7xjGeg1+vhvvvu26zbSwghhBBCthzz7mR20aJFOOCAA7By5cqsfuXKlXjJS17SOc8hhxyCwWCAX/7yl7HuV7/6FQaDAfbee+/Nur2EEEIIITkyD4ath3l5m8G5556LU045BS9+8YtxyCGH4JOf/CTWrFmDt73tbQCACy64AHfccQe++c1vAgBe8YpXYP/998eb3vQmXHrppQCAc845BwcddBAOPPDAkesSCLzLgkViYSHYGNQvtWOlgPVMDQtpp4CJuBQTY2FV4jgkGjk5QGEMYFUhXqgKog2AKFKF9K9wwz68NAaRxn+Kkk6TuRVTvgCf1tIsv1UeQwJzZQFUfbpXWgdXj6Qe7TSwKHYFOaQUwQAnlCka+SvM05LB3KuYCWFw25G/0DPcsTtkL7f8whhJ6xI5pBS/mjKiGNIIXnldK/UrmW71LUSuVr9S/jJDysk8zTI09skksI5yPG4KEBLBJGv3SV4mHWxM+ErTwIIU1pX+FcqAF0yQp34ZUVSwmSTWhYW0hLFS/AKa1K9QnnP5y6eCpfJXEMCi/GUlPIAk+SuRuXwyWCZ3xXo0qV+23QZ09Nd8PKzOzat5Pbr6+Ce9EMiytqQuLhfdbTOiPCx07N9ZuWOcJYT53bpMxwOQyWDpPjSsTtTvn2iOi7FvWGH4bJCmXUMyo8B9CigAE5Iaw/FAm/dNKoH518UagYEdWwKLyV8GMNb4ceVlL+OEML+MSi2MTw2roE4MQ5DBek3qFwBg4KdrdwyA9WWDvlTTvLhka2JensyeeOKJePTRR/GBD3wADzzwAPbbbz/cfPPN8SrrAw88kF2FNcbga1/7Gs466ywceuihWLx4MY488kh89KMfhTHz7uIzIYQQQp7MbGUC1pZmXp7MAsDb3/52vP3tb+9su+aaa1p1y5Ytw5e+9KXNvFWEEEIIIWQ+wcuWhBBCCCFkwTJvr8wSQgghhCxIeJvBnMKTWQB9cbe6T6mTSxbBwqL2yV9jpICpREGlb2ovggl6YmGNEzoqY2HrCpWxXuhQqHF3zKsKxCikFn+t3FlgQeYCAFiBiv+tXZ8K5lq8YuVvvhc4ASAIOFnKF4o+ZXmYBKZoEsNCGeK2TdM6RCkB2rSVaWBhfvEpNS0RTBUSHl+aCtYlg/mnC94FyKSwlHZ2Rs6Qv1F0CV9ZfSp9Ae51SQSNzsQvPz2W+IVc7Npk+Us6ypIvR0OSV9HuUr+06WNCH81lFwOIUSci+sGILwsy2csJXkhSvoZIX0X6lxEb293Lp5kIFqhGvPC2fI94SvkrJIBNJ39ZNS35K0pjXv7SOL0J8lcieTXpX17+SmSvVPDqFr+avqMEr5YcNo341ZX21Sl9DSsjnU7OCDIBrHjRZkkAE2gr7cuV8/09Fx6bcimD5e1hf5mBCJauw+b1Q9PATNIXTjJ2h82QAObLpQSmkhwHFRZmpAQmEqLCjJORQxep/FiLBDBXP4Uq9q2MxjSwVLoOBBmskb+84IkaBoJK+Mdl4uA7gRBCCCGELFg26crsH/7wB9x44434/ve/jzVr1mDdunXQ8idTPCISf0qLEEIIIeRJSfiLJJkzJj6ZvfXWW3HSSSfh4YcfzqJm05PZtG5YFC0hhBBCCCGTMtHJ7D333IPjjjsO69atwyte8Qoce+yxeMc73oElS5bgIx/5CP73f/8X3/jGN3Dbbbdhl112wYoVK7D99tvP9rYTQgghhMw7hvyRmmwmJjqZveSSS7Bu3TqcfPLJuPbaawEA73jHO7B48WK86U1vAuBSum655RaccMIJuPrqq/H9739/9rZ6FhEAFVwKWF8Ai5mngPWMRQ2fAlZLlghmxKAS64QwY6HW+CQwANZAxSUhqRqIv5leRXyKF9xN+UGuSVJcytSv6EIFqSvc8h9EgJjA5aZDuldW7pLAEvkrlchiypBfU6iLSTUI2xqdrSh9adXM73yEXATLJLJKslSwTAZDs/AgimTCVnowmUlYTPFHhOESmC+kaV/AzMSvUNclf3UKWt2JYG0hbIj8ZYoykva4rFTyat4zEG0lG4WUMAQBxPg3QUz1ChJLmvSFKHl1pX8F+Wvc9K9Q3lSC+AWML38FmSuIYEHkCvLXwJpM/nLTjfwVhLBNkb+a1K9E9vLpYFHeAhqJy4+zvskYcOVM6iqnR4hfw9K+RkpfpfBVCmFJXau+aJsRXX8w7BTAtGhLhLARMph0tc9ABAuHw3QfH5oG5uW1KIdFESz7RPDHJm1LYMkhNZSsiHO8AJQSmIjCR3251C/fZeDTvULKV0wAC/usejHMqEsD8wJYhR4qbdK/4ucunOxZJYNBjQqCitoP8Uz0Trj11lshInjve987st9RRx2FSy+9FHfddRc+/OEPT7SBhBBCCCGEDGOik9n7778fixYtwr777tssyBisX7++1fekk05Cr9fDDTfcMPlWEkIIIYQsFHQeDFsRE53MbrPNNthmm22yuh122AGPP/44Nm7cmNVvu+222G677XDvvfdOvpWEEEIIIYR0MNHJ7F577YUnnngCTzzxRKzbZ599AACrVq3K+j744IN4/PHHh/5kFyGEEEIIIZMykQD2ghe8AD/96U/x05/+FAcddBAA4OUvfznuuusuXHzxxfinf/onbLvttti4cSPOPvtsAMALX/jC2dvqWUQg6EuFGooprZ3DghmmgKmggkVPatQ+8cvAiWFWbZMGJoJKFFYUlVGoOqlFRWCMT2ARdTfuayPmhC1FjUYWMEGvQqNa2eTm/yjy+D4WjRyQpnshKXdJYEjr0IgmYTkh3ctqXHfzZ45E5CrqBBoFpFIEi49dvfwlfhmlDOaflkwIA5o/rxRyhwz5QqXDfjauJYL5gpF2XfgZupYE0ha/4jpnIn6V/RPZK50O4tdQ+UuSMpAJYUHoyqQy+PZQ78uptBKfKy+25FJLKn1h7PQvkTz9y5TTaKd/GfHpQNK0uZdr+i/SaeoXgLHlryk1mfzl0r9MJn9ZL3Kl8leQu+qQ/jVb8leUvKSd6JUkgmWpXh3pXp1pYENTwLTdNzzlZT3afVLpq50AlrxIIwWwCS+WFPu+PwT7trRfOU6EsFEyWNhnQ7di35hWBEMynSR7daaBwR8joPF4HhMckUhgAgQ1N5PAEhksPpviAr+6JDBrwwYZn/ZlfI+wX1bN2ADG+rE2IlgugFlUat1YLKZQNdNR/qqTNLAaBgZ9mYndO4fwd2bnlImuzB533HFQVXzhC1+IdWeddRa23357rFy5Ek95ylNwyCGHYK+99sKNN94IEcE73/nOWdtoQgghhBBCgAlPZo855hhcfvnlOPjgg2Pdnnvuia9+9avYY4898Oijj+IHP/gBHnnkESxevBiXXnopjjvuuFnbaEIIIYSQ+Yr/hcItOmxNTHSbwXbbbYczzzyzVX/YYYfh3nvvxQ9+8AP89re/xZIlS3DIIYdgyZIlm7yhhBBCCCGElEwcZzt0gb0eXvrSl872YgkhhBBCCGkx6yezCxEDgwqCvghq6NgpYH2pnQBmnCBSW4NKFD2xqE0Na/M0sJ6xUHUSmCYSmPoEMGPU3ddfi78BxP2dIIhh7t57d8N+c0N/hwRmmhv4xaoTi0IyWCpvjZDAXGUjd8WEr1QEy2QwiaJXcMCacZIGFgUxifJImQjmpC4vR4T1SFsGA9AIYUAmhYW2lKGiV9an6w0yXPiKdYUgEoQtYDzxK11OluyVzmPK+UqpS1p1LfkrJHuF7UolMaPZctN6FOvN6o36ARBfFj8Y8WPjku6Mr6uMRWXC2LrFFIlfPdOIXk29HTv9q/LKSkqtLpEvnQ6k8ldaF+Qvq6ZT/oqpX7aRwULil/XO+hxgAAAgAElEQVSSV5C/GvFriPylmHX5K0/4klbiV3g60r6hflQKGOCOL11SWFjecAFM835o9wk0ddquC0z6J9VyQZn0Je36rvEoGSwdNBG7xhDBQupiKmPGdn/cTtPAYns43oa6IIOFjQjHlWESWHJ89m5WSwITsajV22GwMBI6GAxEAYs4Nn5chWm4/X5KneAVksIqKIxq/MwFkKV+ueSvIH852bMvFjOLd5wjkv2AzA3MgiOEEEIIIQuWaa/MVtXsfOsREQwGg1lZFiGEEELI/CT8GYvMFdOezM5W2AFDEwghhBBCyGwz7cnssBjaH/zgBzjjjDOwaNEinHHGGTjssMOw5557QlXxwAMP4Nvf/jY++clPYsOGDfjEJz6R/YwXIYQQQgghs8G0J7N77713q+5nP/sZTj/9dDz72c/G17/+dey0005Z+zOf+UwcfvjhOOuss3D00UfjtNNOw5133jl7Wz3L9KXyeV8zTwGrxMJ4GcyKuHpxMpmVkP5VwxqB1oLKWJcY5sfGWNi6gjHO5FA1EH8jfRB/JKZ9BWlCoKIQ8WKYT46SUNZcAgMUYgsJTDsksCBvJaJXSAODalOnhUgWxQ9vHGSJX+22ThEMjQjm0soKGQyJ/6GJ/BX+klNIYf7hTEzrL0Sl8AV0S19+OnpFUtRL2h/xtWtLYcNksULwirJWIX+lwlcpgmGE/GUwVDRz82ghhTVyWPhxw5j4BSTTIQWsSfhK08B6XgTL0r/QJHsBKBK/FFXRpyv9q4tU+gqU8leQulL5y4mcfjopD7TpE8rq64Pk5d76Tvoq5S8nfPndJqSDjSN/JYleTgJDFLzaqV+NMNYSwFJBq2veVnshbxXyV6f4FftrhwzWlOMygbjDd0lhWT2626clHIPKumIFeSpYIXhpMk+6PwQbKxW6wnJCuZS9gvQaRDAUfdNpJPPZ9tgfOOPTItJIYGo0Sn+dEphvaTRjRyqBifiDhf+sqsNsxsJY41Mj1XcxRQKYgdEKsMAU/GefBSqjMGpRoYdKnfC1EVUjX8MJoUEG68fP63maAsY/Rs8pEwlgF198MdatW4errrqqdSKbstNOO+Ezn/kM1q5di4svvnjijSSEEEIIIaSLiU5mv/3tb2PHHXfEfvvtN23f5z3veViyZAluu+22SVZFCCGEEELIUCb6ndnHHnsMAFDX9bS/djAYDLB+/Xps2LBhklURQgghhCwseJvBnDLRldk//dM/xcaNG/H5z39+2r5f+MIXsGHDhs57bwkhhBBCCNkUJroye9JJJ2HFihU444wzAACnnHJKZ7/Pfe5zOOOMMyAiOPnkkyffyjmghwoV6lYKWI0aNaQZxLi0Lz+24soWAiNBBHP1fVM7yUMEPbGwxgkflZe+KuPitlQb4cuJYIBVhQRZJ/wn4lPAFDASb9Fvxq6jwAkkkopIpQSGDgnMp3+1hAJ1MkpMhwn9U+nDIrhpmySCRYkiyCBdMlhw4RpXIRoSmRQWH/oYX5GHpINly+oop3IX0IhXsS2TvdLymOJXssy4DElkrtA/lbZmKn9JUjbJOrzwFeWvmFSUyF9RCmtSv8Q40UtC4leSAOYeusJIkviVSF+V2KTedqZ/hbZRhPSv6WQwYHz5q/b1Zdmlf1WxXFsTy1ZdXyd+GVh1IlgQwjQmgEm3/BX2i67kr3HkLz89rfzVkRgWxbFM7tKmHeOJX0OFMZTlbuErewmTsnTt1+NeDeuQv9SnDLbaU8FLNRG5hshgUfYK+0khgnUt3iYTolAjefpXmgYWEr3S7Qpt2fYma0nn21QJTBU29nHCcm3dCkQUA+v2o5D8ZaSKSWBGLQa2ivvxlFYw6vZ7V7aoYFGFsVgnXmuQsK3/LFZMwUufqGEgqCR+2M0PeGV2TpnoZPZd73oXbrrpJtxxxx049dRTceGFF+KlL30p9thjDwDAmjVr8L3vfQ/3338/VBUHH3wwzjvvvFndcEIIIYQQQiY6md1mm23wzW9+E+eccw6uvvpq3H///bj++uv9z3UgBiQYY/DmN78ZH/vYx7Bo0aLZ22pCCCGEEEIw4cksAGy33Xb49Kc/jfe973348pe/jLvuugsPP/wwAGDXXXfF/vvvj+OPPx5PfepTZ21jCSGEEELmNeHWOTJnTHwyG3jqU5+Kc845Zza2hRBCCCGEkBmxySezTxYqMeijSuQvxUZt0kbiIP7mdD/uS43ai121GCd7mdoJIHVSVkHPuDGMkz+c9KWojEJVoVEIE4jREK7ivuVliV4yvgTmuzv5pyMJDKMlsFz4EojVLPUril++LrhbiVKQCw+l8FWIYE7gkiiOhFQwoC2DAYlk4R5e/mU4GhYz/IZcdk+mS+EL4fnzda20r1Z5iPiVzp8KXij6ttK/iv5Jv7Hlr5jqhXxZIRUskb1C3yh/eRksTTPKUsAEWdJXZSwqo37shLBc8hpeThO/Jk3/KrHF1ZPR8le7PLBNIlhZjilfcQCsNW5+a6L4lclfXhCLVp5Ft/wVEr3Glb9CW9pnmBBW9ElTv2aS+DU07SuTwdrSV1fiV5S9ipd3qAc47G0w5FAQE7iKfi0pLBvnMlia8JVLYd0iWCaLhfWZIIRpPB6IPz7Hvn4bWlIYwjGyOa6LdRsR+26iBOaSxJyIBbh92/rPMsBCxKWCGXX7gDGajBUGVUwDM1CfCKao1KV7TWmFCgqj6hK/NGZvdqaAVVAY1KggqCb7cSbyJGFWTmb/8z//s/M2g+c///mzsXhCCCGEkAXDDL9Xk01kk05mr7/+eqxYsQL33HNPZ/u+++6Liy66CCeeeOKmrIYQQgghhJBOJj6ZPfvss3HFFVfEXy5YtmwZ9txzT6gqHnjgAaxZswb//d//jZNOOgm33347LrvsslnbaEIIIYSQeQuvzM4pE91k8oUvfAGXX345VBXLly/H//zP/+D+++/HHXfcgTvvvBO//e1v8Ytf/AJ//dd/DVXFFVdcgeuvv362t50QQgghhMwTfv/732+R9U50Zfbyyy+HiOCd73wnPvShD3X22WeffXDVVVdhl112wSWXXIIrrrgCr3/96zdpYzc3PVToQzEFCwNgkYyXAlapS/4KAphVQS8Rw2L6V23QMxZa+xQwFZ8C5u73D0KY8SKYBSC1+K8cQe1Ccic+ukUCL/UECSwTukZJYN5T0FTGSEQwV07ErTQhLBFC8qHpnwpiXSJYUxfaJW4HgOYmpFIIQzJP7KrZ9EzRUhobInxlfeN0WZasvt2ei19d41IC00QmibJXKoiVKWBh/pnKXybtkzyniRQmRQKYET/2qV/GNAlfkg4Ael4ES1PAemLz9K+QBoZG8OqSvwIzSf8KBOGrsy0IX9rIXwNN5S6TpH25srbSvyTKX6noFWSvuIt42UttW/6KQyp/+X2oU/6ykgtd08lfw1LAktSvTRW/0rSvUdJXKXxlolcpgY2T8DdkXsBLVnW6wKRstKnTRAiLRlTciKSc7JuZFDaGCGaLeqNQK41g2ZH+lcldYdOS4/qsSGD+cbjPE/GfVRbWi19O5BLUVmDEve9hDQY+BSyMXQqYYqAKo8YnghlMoYIxTgSbQkgC66HSQryGTeSv2h0HYNGHooadfylgWyG77747XvOa1+CNb3wj/uIv/iLmD2xuJnrl7777bhhj8J73vGfavhdeeCGMMfiP//iPSVZFCCGEEEIWAOvXr8cXv/hFHHvssdhrr73w7ne/Gz/5yU82+3onOpnt9/vYcccdsWTJkmn7LlmyBEuWLEG/359kVYQQQgghZDPwne98B69+9aux5557QkRwzTXXZO2nnnoqRCQbDj744KHLu/zyy/GiF70o+lMf/vCH8fznPx8HHnggrrjiCjzyyCOb5XFMdDL7ghe8AI8//nj8Ka5RPPzww/jd736HF77whZOsihBCCCFkQSG65YdxWLt2Lfbbbz9cdtllWLx4cWefV7ziFXjggQficPPNNw9d3plnnokf/vCH+PnPf44LLrgAT3nKU6CquOuuu3D22Wdjzz33xGtf+1p85StfwWAwmOSp7WSik9lzzz0X1lq8+93vnrbv+eefD1XFueeeO8mqCCGEEELIZuCYY47B3/7t3+KEE06AMd2nhNtssw123333OOy8887TLnfffffFBz/4QaxevRq33norli9fju233x5TU1P4l3/5F5xwwglYtmwZzjrrLKxatWqTH8dEJ7OvetWrcOmll+Jzn/scXvnKV+I73/lOdoY9GAzw3e9+F8cccww+97nP4dJLL8Wxxx67yRu7uanEoBJBXwwWiaAvQF+sH2o3oEZfBsng6k3oY2r0vNDSFxtllp5Y9EyNnjjhJYwrL75UiSQThBkRhRjrx0BMWvKCDryQE1OZjLvJP0uJShOgghAU52vayxSpbJwso1m2xOms3gwbxA9t2ShvL5abbYv49XpZqvKDScpV0rccZMjQ0TdbfrmOdHmhb/EcaboNxfOSP/aOx5z27aoXyesFucQ1jvxldLj8JW35q5RSYDrkL++1NAlgIQXMp3el6V+JEObSvWwuexUyWJW0VUMuOUya/lUnh8Gu9K9Q75L8ylSvRgaL0pdP/nJSl8Qh9rFNAphaXx+lLz9O5UgAMf2rlL/sDOSvRPRq+iXTWpbVD2gkrbK/pstw/TPhy+btThzV4esL7TXcYN042564jGZ9QYyb8ZA9znzZUDTbEbenaLfFc+Be9PgYy9cmfZ7y56b9ujTzFOvrEvc6Xpd8OZIvM7Y3cmEq96XvO5dE17xH1fpq27yXNciRPvku7AO1TZLy/HigToQc2AoDdRrXlFZxqP1+ltf3kqHClBpsVBNfxinUGCC1+Mhs8r3vfQ+77bYb9t13X5x22ml46KGHZjT/4YcfjquvvhoPPvggPvvZz+LII4+EMQaPPvoo/uEf/gEHHXQQnvvc5+KSSy7BmjVrJtrGaX/N4M/+7M+GtvX7fdxyyy245ZZb0O/3scsuuwAAHnnkEUxNTQEA/uiP/giXXnopLrvsMvzyl7+caCMJIYQQQhYMQ34dZS55+OGHceCBB8bp008/HaeffvqMlnH00Ufj+OOPx9Oe9jSsXr0a733ve/Gyl70MP/rRj7DNNtvMaFmLFy/GSSedhJNOOgkPPvggrrvuOnz2s5/F3XffjZ/97Gc4//zzceGFF+LlL385vv71r89o2dOezK5evXqsBW3cuLHzjHrdunVYt27dnP08AyGEEELI1s6uu+66yX/CT39S9XnPex4OOOAA7L333rjppptw/PHHT7zc3XffHeeddx7OO+88/PjHP8anP/1pfOpTn0Jd11i5cuWMlzftyextt9020YYSQgghhJAnD3vssQf22msv/OIXv5iV5f3whz/EtddeixtuuCEmyk7CtCezhx122MQLJ4QQQgjZqkjvO36S8cgjj+D+++/HsmXLJl7G6tWrcd111+G6666Lt5+qKvr9Po499lgsX758xsucKAGMEEIIIYQsbNauXYt77rkHAGCtxX333Ycf//jH2HnnnbHzzjvjoosuwute9zosW7YMq1evxgUXXIDddtsNr33ta2e0nt///ve44YYbcO211+L73/8+AMQrsQcccACWL1+ON7zhDfiTP/mTiR4HT2YLQqSthaL2w1SMz7OoxGIRalgYWDGwGMCKi7m1YtBHEmsrgr6pnTVt4G1oQc+EsYWqODvblwHrogJN87XOwkKtgaRxhTFPEc409fG1gPo2QOCjEH184chYW2+5Kly/zGa1cMtIvm26CFtvwlptInFDW4hTBJpCamin8ba+vSlLUtZmO7KxNNPJ7dii6n7RIGXcb8gdt3VnsbaS1ud1zbQ002mb5POMHV8b+pcRtsmvFgz9JYrylwxiu7br0l8yiL+ioM3yQzn5JYPwY4bprxaIj681SZxt+MUOI8giaitj3S9/+Jja7rL/JYOOchplG37JYJIoWwBNHG3xSwZ1qyxxPx5VbmJsXZSttn7dADHSttknkn0sxNlq/gsGoe/IXzJIbfbUakdhspdGfDZfs3/m0bZJfyTTaYRta6xFX/+kh/mQL3NYpG2rjGRZKdP9qTLdp5Ou4Tjk+iTr9/Ux9jbMnkTdZjG3YQiR2ul+2yzOHZ/jURvN/OE4n0TbuihadevxCbJZtHSIqPVtXXHlaawtNG0PnxuuHLZKoT66NjnIin963ccUjAVUFNa6jRBjUVv3w/q1Coy6XzAwRpOxwqBCVSmmbAUDjfHuU1rBWPfrPsbH19ZiUKtBLZLFylsIphQx0rZCjR6q+RNpu0CuzK5atQpHHHFEnF6xYgVWrFiB5cuX4xOf+ATuvvtuXHvttfjd736HZcuW4YgjjsANN9yAHXbYYdplW2vxr//6r7j22mvx1a9+FRs2bIgnsMuWLcPJJ5+M5cuX4znPec4mP45NOpl97LHHcNNNN+G//uu/8Nhjj8VfMOhCRHDVVVdtyuoIIYQQQsgscfjhh4+8V/Xf/u3fZrzMu+66C9deey2uv/76GK6lqth2221x3HHHYfny5TjqqKOG/q7tJEx8MvuRj3wE/+///T+sX78+bugoeDJLCCGEEPLkZb/99sPPfvYzAM154Ute8hIsX74cJ554InbcccfNst6JTmY/85nP4LzzzgMAPP3pT8cRRxyBpUuXoqrKv+8SQgghhGxdzPBOpycNP/3pTwEAe++9N0455RQsX74c++yzz2Zf70Qns5dddhlEBG9729twxRVX8DdkCSGEEEK2ct74xjfi1FNPxeGHHz6n653oZPaee+6BiODv/u7vnnQnspUY9FHBwkbxqw/rbzqvUcPdjG7gYjaD8FV7IaxWg77UUQADgNq42L+eWFgj/ub5ZAxArUFlnKWlqlBfBpwkYkRh/e0lmyqBNTemB8uqEcOCBBalAfXdE/EjCATNtORCF3JhLNYhkSxSESxZfmZIAG0ZTBJRDEk/hPoOuWOmb9GifxbkUgpfwEjpq13uEL+ArC4TsmKbdMtdHdHFne2Tyl9ZuRHCID7C1rio5VT+ijKYqPdftImxNWk0rUb5I5R7po5lE2JwW+VNl7+6omy7+5nY1/oXJI2ybYSvPNK2GZBFfdoYASpQHwOqFlmcLVqyV9hXJIk8lVzMSuWvLO52BvJXlMCKCNtSEMvGMxS/UrlLm+0aKn3F+uRFKW5pm/EVsGL+sA/G5YjE9cbjVRDCRslg4o7JQeRS7311iWDpfpS2dYpfQCN8GX88j1JYM56JBIYw7Q/dUQ7DEAnMv15qE2HNb6+Tv9x+br30VXshzIgC1mAgClhgIE7sGqiBsRWMUUypgdEKRhVGFVa8COYFsCqOe17EboYgfy0SoIZigBrVNPs02bxcc801W2S9E53M7rLLLli3bh2233772d4eQgghhJCFzVZ6m8GWYqKvMC972cvw+OOP49e//vVsbw8hhBBCCCFjM9HJ7Pve9z4sWbIEZ599Nqy1089ACCGEELK1oPNg2IqY6DaDpz/96bj55pvxhje8Ac95znNw3nnnYb/99ps23uypT33qRBtJCCGEEEJIFxP/zuwznvEMHH300fjUpz6F008/fdr+IoLBYDDp6uYUA4GB8eJXSAKzLuEHtU/+8oMa9GXQCGBe9uobL4tZg75YWLEuBUydGNbz0xrSwVRcnAp84IqPV1F1qSkWrjlKYEGUilKBqxgqgam/sT+RAQC4VBkT7CQ04yAcJOlfUTbQrulE6Eq+GYa+nYKXl1qaOs23Ie0LNKZGnNYoYGRSGJJ5J2GkACbt+lIKa4ldktenshfQEr/ysbTbRkhg4XVti19oBK+uecaVv3wCWEv+iilggAkpYBKkLzcOQlhM/xLrk8EUPbFR7GqGJhGsKefyV6BL/qqk+atRrcP/CDUq/QvAkPQvE8tB+qqtl8CAJOmr6RMSv0LqV9xdYgpY2IcQyzH5yybyVyFapXWbLH9ZzYUti7bcFRLC0N6WVP4aJX6laV/TSl+JsJXJXja/9DRTESyKX2llkJ18uySm00gZLDwe09QjkT2bI3JyvEsHo9k8aQqY+v0qil7ijtmZtDsDCcyJhBqf6pAs6WRb9cdr8a+huN8KteFZ8o9C1AvF4hIrxcJaAxHr9htrYMSitiEVzMBUPgVMnOw1UAOjxklfarz0pajU7etWDWox2Kg992mr8VM3ytfuMxnYqPM0BYzMGROdzN5///047LDDcO+99wLAtIEJ4/YhhBBCCFnIxEhpMmdM9PXlPe95D371q19h6dKluPbaa7FmzRoMBgNYa0cOhBBCCCGEzCYTXZm95ZZbICL40pe+hEMOOWS2t4kQQgghZOGS3Z9GNjcTXZn9/e9/j+22244nsoQQQgghZIsy0ZXZZzzjGfj5z3+OwWCAXm9ih2zekqaABQHMegHMpYBJM/j0r0UYwIqrs/7m81qMSwEzTiKxtaBn3E3rgEtOqYyNY1gD69OSAAtbu4QUZ4CYRgITccIA0l/fEC9ECFQUYgoJzCLKYWqRhtxEmywmdaXjJO0rrjCRv9qy1/QiWJPoVbT7jRLVph2jxsk33/L+pE29R7tIthuZAtYpgBXSV1ou6sYWv8YQwDrrO+SvrE+WCjYz+QtB/jLqpK9C/mrkMJfg1TON9CV+OgheoRxksL40bZV0y19hOpSBXPwKVGJbEtio9K86SfiKZSTJXkPKtRfBnAzmhS+kQph7a1qVLPVLE9EryjbF/tHse5KJWVHKstL0De0YIn+lYleX/NWRADZu6te04ldRFx8r2tJXnE5krzwNbOhLOC3ZcsL+WGsuhiVCWOwj0imDpalgTrwqpC5xK3VCmGR+axS9gmCVpIBlMlhMBJtAAgvPPxBTG2PiY+gbtwwICZPixeJGTHQpZPFJFLj3sqhPAwvSl0DE7RNGxclfxqWEDWzlUi3VYKDqRTALq4IpnwxWqY0pYFacbB3lazWYQsUUMBKZ6BV/y1vegg0bNuDGG2+c7e0hhBBCCFnY6DwYtiImuqx65pln4nvf+x7e+ta3YjAY4OSTT57t7SKEEEIIIWRaJjqZfdOb3oTFixfDGIPly5fjPe95D57znOeMDE0QEVx11VUTbyghhBBCCCElE53MXnPNNRCR+Nuxv/nNb/Cb3/xm5Dw8mSWEEELI1gB/Z3ZumehkdsWKFbO9HfOOvjQCmJO/XApYHSUwg1oNahmg9mZAkMFaAhictFUbJ240aWB1kv7l1tskgRmo+sgvAwQJrFZARJ2YEG/UD3gJzLgvGmUSmI95aSSwIBao6wX1YoLmwoD6RSP0TaSNroSvsRPBCgksbmNX0lfoj6IvhpQLgWvGFLOPJ4BJu32IAFZOjyN+TZf61ZLBTGjXoW0t+StKYjpS/goyi+mQv1LBK6R/VYX0VSVpXz2pm9QvpMJXUoZmshcwvvxVYpMXc1j6V2xLy5qkf2me/qVZu8AqYK1x8pg1sFbioDa8MACy/Uea93EQurJx00fg5pGyvkPuGiZ/RRlLG/krr+uQvBJJDOioR9F/DPFrOukrXW5AugTPmZ48pPu0n1dFmvUJgNofY6UQwgQok8EkyFBoi2DqBdtUBIvLEBRD2Ockil9xWUEMM8gksHjM6ZLAwuEzlcT8A1Sj2TG9Jepmx3aJknE4dqtt1mu9FCbiJC+jgtoKTCqBqYFYTdLAFEYtBrZy+7m6/dyl7rlUsAq+fswUsL7/rCZbFzyZJYQQQgiZTXhldk7h71cQQgghhJAFC09mCSGEEELIgmVWEg8efPBBrFmzBuvWrYtSWBeHHnrobKyOEEIIIWR+kt4LTuaEiU9mrbX42Mc+ho9//ONYvXr1tP1FBIPBYNLVbRF6qNCHevkrDNbfcF43aSQIwpe0BbAofflkMJ8GBoumzY9hvDhlDWCsKyOXwFQNbKwbIYGFm/sTCSwke0UJTL0ElghfjdGQLDTIAEPSwCYVwYBiHnSUgUyMielg+YMeXt4UEkGkWwDrEL7K6bI8RAgbW/zqEMAAFGlfoayF7OWfmlT+SoWvGchfYobLX5W46VL+qozN5K+esVH+6hkLA0XP1C4pzKeANfKXzWSvMglsHPFrJlhv1aXpX65+ePqXe5tLHKymqV/i9wVpdgcNBl8jg0WRK9aFaVfOhC7bzCPJdCptteQvzctjyV82Ebm0vY6u1K9M/EJel8tj40lfmfCVFDtFsPgiFtPl3yHTRfp9OS4vCE6xHlEIa2QwL4YpAPG5WdotgoV9qTkih1U0mVvhGBvbrbrlxtQv5CKYl8BcnSTpXoUEFrYVjQQWXysb9LS0f9gy+G3z2xieBNUmLcx/qKgKxL/XrTUQsah9XW0NRJzwJaKo1WBg3XFjYBUGFapKUftksAoWU2hSwGrx+9g0KWB9sbAAplCjKg1e8qRnopNZay2OO+443HzzzVBV/PEf/zF+97vfwRiDPfbYA4888gjWr18PANhuu+2wyy67zOpGE0IIIYQQAkx4z+zVV1+Nm266Cbvvvju++93v4v/+7/8AALvtthvuu+8+rF27Ft/61rfw53/+56jrGu9///tx7733zuqGE0IIIYTMS3QeDFsRE53Mfvazn4WI4JJLLsEhhxzSXqgxOPTQQ3HbbbfhsMMOw1ve8hb88Ic/3OSNJYQQQgghJGWik9m7774bAPDa1742q6/rOpuuqgof+9jHMBgM8OEPf3jCTSSEEEIIWUBs6auyW9mV2YnumV27di2WLFmCxYsXx7ptt90WTzzxRKvvs571LOy44464/fbbJ9/KLUQlBn00SWBNGlhIAZM4APA3pg9i6ldtXOIPDFxiGOoiAUz82Pqb+b0MBgDWQE28yz9KYOHXIiaSwBRRNvB2QyNJmGQB6m/9975GkLuGpoElw4xEMBTzAK22dl1qZSUv1hBBZJPIBDBp1XcKX+V0p+yV1s1M/ArlLPUrlbyiBKYtKaxp11gf+sYEsLAeL32FsiFJco8AACAASURBVMTB9S/lLxF0yl9R1vLyV0jy6iqPkr/6XhQDMFL+MsWLb9MXMaHu+B4fRK/av0Cbkv6lLSEMmfSlVpx849O94KedNNXURbHLSpO8pamcJS1xK7R3pX2lfd20drbnwph21PknTZP5UfQv5g8vTUv8mk76Kqfdi9NmlAwGAHUxnezT4agY3xYKnwamzT4c6+D2HxvEKS9FCYaLYCF9K00Pi/t0UhfSvILoBXXvi0TgzJK8Yp1LAwvPe9auZd/maY0JYeH9IKHsHnsoQxVi3edJ3B5V9/51L45L/bKAisJagUiQv2rU1sBUfuz7DtTAqPs8nbIVDNSJYPBJmhBMaQWjdmgKWN8ncLq+bv/v+89qsnUx0ZXZpUuXYu3atbC2OaLsuuuu2LBhA9asWZP1tdbiD3/4Q7yvlhBCCCGEkNliopPZvffeG3VdZyeu+++/PwDgK1/5Stb3a1/7GqamprB06dJN2ExCCCGEkIVB+Gm8LTlsTUx0MnvkkUcCAFauXBnr/uqv/gqqivPPPx+XXHIJVq5ciY9+9KNYvnw5RASvetWrZmeLCSGEEEII8Ux0Mnv88cdjp512wk033RTrTjjhBLzmNa/BunXrcP755+Poo4/Geeedh8cffxz77LMPLr744lnbaEIIIYQQQoAJBbDnPve5eOSRR1r1X/rSl3DllVfixhtvxG9/+1ssWbIERx55JP7mb/4GO+200yZv7JagL40A5uQvlwJWRwnMoPYRLbW4G9frkAAGydPARLIEsNp4IcyPYwKY/4rR/JWgkcDUNLUjJTBBlEiiBKZAk+bipYEgell/8z+8kAUvcfiksJawlaSBTSKCufVo1g4k8yFfZxiH7SueoOFi2KQU3lB3Atjo6UzcAhKZS5p+MxS/hrYl6V2dKWHDxLAog2nz1TbIX77/dPLXsOQv4+tS+Sst90zdkr9i2leH/BWFrw75qxS/AgY6VAILwlYNJ3U19W56VPqXzjD9y1qBWuPqvBjV7B+Sv9eT/SUrpzJXKIf2IgGss9waz0D+ShPB3IMdnfqVTIfH1SV+jS19pcJXInpt0p9Sk+XEl78Gghgm0EyMTYWwcNyEoEkFm0YEC9FhQewamQYWHrMXMINENkoCK+Wv2I7meB0/KcLxOEn8QtgW/3HTbI0rN0aw3zZIXGD6+eHkLz+uFNYaGLFOBjPW71sGRhU2SQML8mWZAmbVDE0Bm9IeKigqhAQwxRQUpmX7kSc7E8fZdlFVFc444wycccYZs7lYQgghhBBCOpnVk1lCCCGEkK2e2fgLIRmbaU9mr7322llb2Rvf+MZZWxYhhBBCCCHTnsyeeuqpEOm+52ym8GSWEEIIIYTMJtOezB566KGzdjK7UOmhQh/q5a8wuOQSizr6WbVPI6lDAhhMJoBFjyuIYInsBaBJAAvBXxl+5lgOs7QlMJdOk0yH5JYgdLkoG981SQZTd/N/cBg0mALaTgODF1KiOzBS+mrXAY0MhlT6CAPSfmjau8ZluWt6pkwggHUlf+XlJvUnTwHD+OIXGrGrnf6lufQVxJDQHuSwNO3LACqN7NWkfwFiNBHAnMgim1H+KpO/eqaOsldI/QJ8AtgQ8asS64TMCRk3/Su0jUr/slZgrXEpgFESC+/7MCCTwCTWhemkDCDdh0JSWFcyWCpibYr8lSV+xfZG7JpW/hpD/JpW+homfHUlfs1kv0/2aSdzhR3MS0+CXAgzjQwVk7zUi2HAaBEMifRVo9nPQh8TtkG9JJbIYRZ+3/YSWJDICgkMtumTtsfXBc2xI6Q5huN9TPnS5mlNj92pLKbQJvXMullDOyr3HrYWEHHvfzEWdUgEU4HxKWC1NRiITpwCFtK/wjClBhXq+Fm9RUk+58jcMO3J7Le+9a052Iw2H//4x3HJJZfggQcewHOf+1xceumleOlLXzrtfL/4xS+w//77Q1Wxdu3aOdhSQgghhBCypZj8EsZm5Itf/CLOPvtsXHjhhfj3f/93vOQlL8ErX/lK3HfffSPn27hxI17/+tfj0EMPnaMtJYQQQggp0HkwbEXMy5PZj370ozj11FNx2mmn4dnPfjYuv/xyLFu2DJ/4xCdGzvfud78bz3/+8/GXf/mXc7SlhBBCCCFkSzLvTmY3btyIH/3oRzjqqKOy+qOOOgq333770PluuukmfO1rX8Pf//3fb+5NJIQQQggh84R59zuzjzzyCOq6xtKlS7P6pUuX4hvf+EbnPA888ABOO+00fPnLX8YOO+ww7TquvPJKXHnllQCAhx+dPimkEoM+miSwJg1MAAwARUwksWhEr5YAhkb+gr9ZHnWvSQXzbASiBOYksVT8cmUn5fllBgmsgpe/gpuQSGD+Jv+YO6Ou1KS5qLuTP12Vwrd7mUN8exAC0IxnIoKF+Zp6SbYx3V40ZTQ31GfeR9K9dcP9pH9mGUP+SsstmStra6Sv2DcVvJBPjxK/2sKXrxuR+hXTvdK2mO7VtCGVwIL8ZYLw5eUvYyGCTP4KclYqf1VB2JpQ/ur5xK9S/kpTv1LxK8hg5fRMRLAy6aurbibpXzakffn3fSN9we0D4f1txQ3aCF2w0iR6hbKikL0SQSz0BRrZR4eXJ5G/XHkGqV+pABPmGyF+DZO+0mVEiv1aukSwcQirL8SvsF9GKUw1k8HSZLAsFaxDBFNoXI4KYhpYSPQKaWCw4uv96q26dZu8Lohh6Er66pDAwmvTJYJlgpdP9PKfCm69STqYCtBIYgKNr7P4tDDEzxK3LvVJYAqrAqOC2gqMT/KqrYGpXNtAK5gJUsDy9K+6EcF83RZnHmzC1sS8uzIbKH9BQVWH/qrCySefjDPOOAMHH3zwWMs+/fTTsWrVKqxatQq7/km1ydtKCCGEEEK2DPPuZHaXXXZBVVV48MEHs/qHHnqodbU2cOutt+L9738/er0eer0e3vzmN2PdunXo9XrxCiwhhBBCCHnyMe9uM1i0aBEOOOAArFy5MhO5Vq5cide97nWd89x9993Z9D//8z/jgx/8IO644w7sueeem3V7CSGEEEIC4c4tMnfMu5NZADj33HNxyimn4MUvfjEOOeQQfPKTn8SaNWvwtre9DQBwwQUX4I477sA3v/lNAMB+++2Xzb9q1SoYY1r1hBBCCCHkycW8PJk98cQT8eijj+IDH/gAHnjgAey33364+eabsffeewNwwtcvf/nLOd2mvjQCmA0WFJw8VqO5+TzghLBBI4P5ZK+Q8GVDSlhM/BogvBxRBouSWNWWwKwBKgsRgYiBFQu1AutvHAnSgJO8vGBgFTACFXWyCZL0L3FiiBv7NDAvCAiCKOCWGsWBIH3Z6UWwtvTV9Asb7JaRSDLIJZHshvpCCkPYvJKZfjsub8seJoN1yF9uWprpLukraRslg2Xu0jDxKxO4EsELSd809ctPo5gvJhFF6cuVxZeD/GX8dCp/Vca6BLAh8lclTtzqGRvFrknlrzL1qxS/SkIamIFmgmWJVUnKXtgskr5C+lc6T1f6V22Nb2uksM70r0T8cm+SZhia6BVlL8nFrrAvJIJYFMi0rB9D/rK56DWx/JWIX0AxH4qyX0fsh2Y63Ydbspdt7+DTXRHT4q0QM7pM2GELKUyml8HSVLBUBHP7VSPearLOlgTm1+Gm4XoEMcxMIIFp0qcsh9UVQlgqJ/qHC6i41Dcknye+3olqoeyefFXxkljYB9z+In4/qb0QFkUwL4mNSgGr1XgJzKDOxiH9q3IiWCJpb3HmwSZsTcy7e2YDb3/727F69Wps2LABP/rRj7IghGuuuQarV68eOu+pp57K9C9CCCGEkK2AeXsySwghhBBCyHTMy9sMCCGEEEIWJDr97S5kduGVWUIIIYQQsmDhldkZsI30fWkAl7ulqGG9/NUkidWQmPgFNLJXDPAKTUXZivXTjQwWJDBj0+8diQRmmgVZOE8sk8BEoTa1ixSwEgUgsU5FiFaE+v/SNLAKjeQl6mWNQgQLQkpYxnTSlzYeQVrXbEOYJ5EyUAhhSNaBfN6SUd+SSyGkmWlIP0nrJK8rRK9O6Stt65LBupZjyr7aSvvKU8A0my8KX8a/hkmfVACT8L7wZSPuhXKpX+olsEbyqvx0kL96XggL8lfPeAEskb+C8NWXIHmFsh0pf5XilxlhWIwSvmIfFdTJ9/k6CF+QKIJFuasjCawr/SufLqQvhdv3gvgVJBoFJKaDhemkDCDdZzolr1BvO/rE+kbiKvfDTvkrimNlXdhxwzZotiwgmSeTyZqddqj4NUr6SmSvdtrf+JfBsnnTIB6f3AV4IasUwgoZTMNG2kIE8werIIKpVYhp5i/TwNwEWmlgbnk+sTGKYhhPAlN33JeQVGaRlxGWj+L4LPG1i4FoybFbwvziU8CQil/w2x5Sv2Y3BaxSC6MWFSwqP+6rk8RqMT79y3gRbB5cFp0Hm7A1wSuzhBBCCCFkwcKTWUIIIYQQsmDhbQaEEEIIIbMJbzOYU3hllhBCCCGELFh4ZXaG9FChD/Xyl08akVT+cskkMBsBu8gJJiEFDAIYwFo3rmFyCQwAbC9KYAYVNgJZn0ZXGCGBqUJh3L38IeElzBykLn+zv0Ih4pJcYvqXoJUGBhPm8ctRzUUwF1nTlgXCerVo94uIQgqS5RciWCaExYirpt5JYMXX4NGT09OSv6TdFvyQrulRQpi0+04nhmXiVxS52v3GTv1KJTADL3751C9fb/x0lL6MwnjRK0v9Mk6P6vlyELZS+asp5/JX39Qw0Ch/9YsEsFT26hK/yhSw2otbM0n9ApAJXmndsNSvYelfjfjVkf4V9qVE7nJvgmaIUpdP+WpSv4KklQpiaAtcoVyKYKrt1C9bzDtC/ipTvsZJ/ZLk8cX5xhS/SukrlzzLnXsTLoGpZhJYTPoCciEsSrWhr7ZTwVIRzKeDuWQwxD4yZhpYmA777UgJLBxn0+fbfRC4NC7/+aGxvjlGOwm4OaznW+T7Wrj1B8nLJ38JBFr5lQdpLQpigFoDFQtrDUQs6s2QAjalPVTihLBFqH1Kp2CKl0W3OngySwghhBAyi/B3ZucW3mZACCGEEEIWLLwySwghhBAym/DK7JzCK7OEEEIIIWTBwiuzM6QSgz4qP+WSwKDqbz0XQKYa4UsGcb40ESxNAluPfksCM2qQvjSlBAa49BgR49JVrEEtAhGXzGKtwEY5zEfWePlLQ4SNdTfxw/gklyh/aXMzv092gW3SvrIkry4RzG9rSwQLcgBSKSVxNwrxK0sHQzFvUh+mMzEsZabfjktnqCWC5fWtVLAOCWxs6QtNv5j4FfvPQPyK8wfJC6NTv8LYl0UUYixEEKWvIIFV4qcFUf6qkkSwnjQJYEH2asqN8NUztZsvlEekfpXiVyl9pVRiowTWNQ0gS/0CkKR9uXGdiF2hPk0CmyT9y6V+hQGZBCZWvOTVtJWCV+jfCGLFvpBIWS0pLE3oGiZ/tVK+MFL+kpDGNUr+SgUx+PII8Wuo9JUKXml5yNugJYMWZDJnfBBojq+JFBYlLy+DxWQwRZ4KhkIEM+GA5QavcMU0sC4JLLzGWiUSmH+cIyWw8NlQpIGF116NxNct1Mf3Avw8xfEa6bR/mFFwk6bNfS5J/BxQSZYlcNKjF8fCvjGTFLCwr9VqYEVQQxIJTFCLa6thsFEq9FG7fXTkO4A8GeHJLCGEEELIbJFenCFzAm8zIIQQQgghCxaezBJCCCGEkAULbzMghBBCCJlF+DuzcwtPZiegL04Ac2kjPgUs3HKugEXdSF6BYdNdEpgFYAZIX56BaCNdAF7uSu78z6bdTftWLNQmKUbi7uZXG6b9uoJ4IOokFFGXHCbSSGBeAEiFj1IEi4lekkou+ZCmgkWhqxS+OmSvRvRCcy9S45YUCUHYdIaJX2nbEAmslLlinbSXM1ba19D2pJ9J2qLc5cWvOJ8OTf2CuGnjY6NMmfzlBa80+ct4IawyPu0Lebln6pj6FYSvIIVVPhksCF89Y1viF4CWBAYAZoQAZtVE6asrBayV/OWn6yB7ecEkbQ/S16j0r1z8KtK//D7Wlf7VSF+SyDe+jNAfWZpXKum06hMJDEX90HmKdLCR8ledS12NbKa5uJXOs6niV5oa5umUvMZMAsvmTWWwOpXDtCWEtWSwNBUsEcEUCtSur5hE9YrHxmb/dPulxP1ZoEAtrr4aQwLTJC0slcC0KZfyVyl+xeNodlyX+B4IT1cs2+ZxiHqBOMwTUstCChjc/jDTFDAnfxknhanCqKJSC2Pd8ceoRYUeFmkNKwYWLh1sChUqKPojjhHkyQlPZgkhhBBCZpPZuKhCxob3zBJCCCGEkAULT2YJIYQQQsiChbcZEEIIIYTMIhTA5haezE5IkMAcNQB1qVsBBawUF75HSGBTqGK5EgXqHmAGMCFtLBHEjHgxx980b8Q4Z8CK9w5cChhg3GyqUBgnpQSzxKezxDQwdWOtnKwhIi5hxi9Xg5Hl075Gyl1lKlgii0wrg6Fclq9KJAQk9ZkYlhWGTI+iDAYq6roksLETwLraCqmradOOBLC8f6f4JYjJXlECC+JX0hbSvoL01ZX6FcUvn/CVil8hCaxnmrSvyid8ubSvOik74atfJIC5unpk6leW/pUIHdWQF7WGwIjNJLCZkMphTdLXeOlfNim30r9i8le630giX3bLXXlZOtvSNLB2gpcTs2JbmfplC/krLmMM+avo25X6Jam4FRPGusWv6aSvTNoqRa8xxa9OkrSvuJ4wnQphJl+HQFqpYOpM2CiKqfsQ8O1uWWmy16g0MIVAakwvgbkDPEICYpAG1XpBzb82aiSTwlopX2H5SA95YUsAVI0YFoS+8HHSvD81LlP8NqBCTAGzViAyOgXM7W8WA1u5hEC1I1PANmoFoxZ9GaCGxGFqhvs+WfjwZJYQQgghZDbhldk5hV9fCCGEEELIgoUns4QQQgghZMHC2wwIIYQQQmaLcC8xmTN4MrsJ9KVKpC8ngblcMAEw6J6pQwIzVvP0LwCoAGMbycxE4avCoDMJrFm4UUEt4sUeJ4NZWJe8kqZ6hTQwQUxuccaYT3UJ8pe3sVwZ8UZ/2ETwKiUv3y+mgumIvh3zlkIY0JbCYnJN2hf5PBNTyGAt0SspD00A83VlIlgqh42V9tWad7j4lctfiQSWCF/wgpf4NLBRqV9GvASWpIBV0pR70khgQfZqyo3w1SSA1ZnwFSSw6cSvIH11pX+FxK4Kmklg01H7nS5NCauTZK9hdKZ/oZG+xkr/UkBiOZW7GpEnyl1WsmSvbL9IRbBU4gpyV9GWzVPIXJKIWqn8JXVTnpH81ZX6NY74NUr6KmWvIUFPnQlhSISuvDb/G2UigcXeUQbzfUMqmO/hZC7XHPqJTwZTgTtWJmlgnRKYAmrCeseQwPzLESQwWEmkML+JQRxWhVpptjG8XkkaGLwPHNs06ZsIZc28PjUypIAVnyVRBEPYL9x4WAqYVcFAjfucqzSmgKUSZu2nay+PWfHJX9rzyV91lMDI1gVvMyCEEEIIIQsWXpklhBBCCJkl0j++kbmBV2YJIYQQQsiChVdmCSGEEEJmEwpgcwpPZjeRbaQPAKi9/OXewbVvHS6BVWoB68UWL4UZnzJjVGESgaESbWSwNAkMioEXwwRwUo8Y1FYAa3yik/jBwNoiDSwIQqpOWkglMC+j5PKXxvookaViS5i/S/DqksGSPuV0Nr80k5no5ctx3qK+k7Jt1N+Ckrau9K9h9aXwFeta02NIXwhyhrb7ZClfyTSQpX1F8UuK5C8gS/0ysTzz1K8geaVlJ3ylCWDt1K8giAXxC4Bfru2Uvsr0ryB8AU4ECxLYTLFqMhHM1TWpX2nKF9CIXu36RgQbmf5VyFixHNK7Wqlcvq2jPp23WaZm0+XyxWoxjRnJXxIk1Gnkr1T8AkJbIX4NS/vqkr4S4atT8pomDSzOU4pgadoX0CR+dchgaqXpk4pgIREsimBupqB8TSeBucfnlqdmhASmcC1WnOjl68SvNE77tK/43jDq34+F+JW8l+K84WXxyV5x2rrnTvzxHCFFMhynw3KsQERbKWCpJJmmgAW5y6jGFLA4hmBKq/i52Nc6JoDV2dj1W4Q6T+MkWwW8zYAQQgghhCxYeGWWEEIIIWQWaf1cJNms8MosIYQQQghZsPDKLCGEEELIbMIrs3MKT2ZngSCBOeGrkcBM8m42YttpNcYJWbBAZTTKXaEOxkleJkkzcklgCoMKA1GIdTKNxIQwhRGDWuBusC/SwFQFVqy7IV9dopcGccuntsQb+btEMBXAenEpTTMKdcjrp5XByv6+b1faV2sseRUw5E874xxUhjhDQ4OgumSvsj6pC8JX1jZM+ir6NylfSX2nBJaUkxSwTPqSIAq6+jTxS5JkryB/zXbqV8/YmP7VlfoVxK8y+QvoTv+C3zfK5C+TGC51e66Y8FUmhQURzMb0IclEMBsEG6BI/2qEsJj+FWSY+L5P9peO9C+xaTta7bmABZ/y1RbIuuQy6eqbTbflr1QmS/fzkPoFpMvXJNmrWV6W+pXN4/t2JX6lUlhYXtoOoFP0mkb+6uybSF+SyF65EKZ56pcfDxPBNDxOA6g/mMY0sLCKJMEP4tsETRqYHSGBhYSvRAKDl73EKmCkLXP5cksMK9+jwefS7nYRvy5Jlm3DZ4s2KWCqbj9I1q8qsNZAxMImKWAKoPafXem+NlADowbGVjBG4/43pRUqtTDqhNLaf8bValDDYKNU6Hfu9eTJDG8zIIQQQgghCxZemSWEEEIImU1m8IcCsunwyiwhhBBCCFmw8GSWEEIIIYQsWHibwSwRJLAKNVwCmCI1vgxsvFG/kpD+ZUMjjHrhRa1LB4MTwSpYGK18NyeDGVReBDMwUmFgdWQamKighrtJ31qXCGZDWV1ZFF7yktEiGLxMpI3Q0Nz07x9sTABqJ30hLce6IUIYMP4YQ6aH1XXRIXsNS/4aTwDTpFy2oSV9ZfNJdJtyIcyEad0k8SuTvvy4EpcCZgRO+jIuE2tY6lcQu9LUr34hgaWpX2E8nfjVnfzVlr9qmEL08mlgvhznFQvr96Euai+WjCJNAbNJ/1DfJBshSf3yL+g46V9e/goJT21BK90/kvbOpDBtpjslsUL2SlK8UuFL6uHy11ipX0j62LJec7GrTPsaJX2VopctpmeEF6bSdYTEr6ScyV5A1l62icLX68RpYDORwKBpMhii5IWwbou4HbAKNdIWu5Ldy4lk8dmJgpokL5P45K+YEmaTY1BYdpkCps1g1cnJLgnMpVWm+9jAVl4Ia1LAajjBy8LJXlaNk8HQwyKtYcXAwvh0sNH782Yn3V/JnMArs4QQQgghZMHCK7OEEEIIIbMJr8zOKbwySwghhBBCFiw8mSWEEEIIIQsW3mYwi2wjfZj4/cBJYMabDDENzDjJy417cF6YRYVeFMFSGWwKlUsEA5ygY6s4HjcNzKq7Ed9ad2O8qpPAREyT2jKOCOaFEnhBIYoh0ogEAOK8If3H1aElv8R6lHXaiAbpMsv+6RhjTo9ikwQwLaaLPul00t6Z9JWme6XLShO/wjoz6Qte+tIZi18h8Sumf6WJX17wqoyXv8SiZ+pYDsJXSAPr+3EqffWlHkv8apK/EnlymEnh95MoghXi13SU0lcQwcrUL036OYepSfvKp92LHTynpg7Ze7+V/mU7RK+0vWhLp6O8kwhZ3csK62m3S9E+K/JXrE+kqFT0iuvy08PEry7pqxS+ZpL81UWtUfQC0HmJJ8pgIRlsqAimcX6BAHVI9gLSNLBJJTAnCaZl5OKXfz5iexDFtGjP0hvRTgRDMm3do4kpkOF47yWwIIaJTpMCZg1UbNwv3H7m54PbXywEA2tgKs32w3TfrNXAiqCGeNnLYKNW6GvtksDgUsK2NBTA5hZemSWEEEIIIQsWnswSQgghhJAFC09mCSGEEEJmE50Hwxh85zvfwatf/WrsueeeEBFcc801+cNQxUUXXYQ99tgDixcvxuGHH46f/OQnM38+NjM8mSWEEEII2QpZu3Yt9ttvP1x22WVYvHhxq/1DH/oQPvKRj+Dyyy/HnXfeid122w1HHnkknnjiiS2wtcOhADbL9KW58byCxXpYAE2qUah3Y5+4pH1UXqKoQl8DJ3cZjQKYUU1SwMZLA6tEUavAiEHtvYUgghmjPhFsGhHMqJMbFDHFrPn2J05Ksl5sAZxgENJnVBLhRLP5OuWvcjqONR3lN9enIk/Xt9Fxb8SfVgDTdn1X8leY7hC+Yp+Q8pXKXWWaV+yf1nWUveiVpX7NUPwSaQSvSnLZK6R/BcGrl7SFpK+eqVGJxlSwmPaFps904lfYL4Lw1ZX6lb9e/ru42kwCC0bLNHMDAOw0wlgqgqWpX9a/twEkspcU6V8YUUaSwjVh+lfanu2ThRQWU8C0Y35NpjXpn/TdBPmrK/Urk7tKIQxF/+aFaNd1TU9XP04yVCaEaZ4QBv86TSeCGf/YRJze5dPARkpgGvZnGSqBoRZo5cuh3vptTN7+bv0SRa5S9IrvEfh5fF0UFgVN4ld4r1hXnx2DrT9uDUsB02Q5fl4bksHgPouM2Lh/Daxxn0st+cv4IZHAfNKXVYEVlwbWV5cSVsuWv063UASwY445BscccwwA4NRTT83aVBWXXnopzj//fLzuda8DAPzjP/4jdtttN3z+85/HW9/61rne3KFs+VecEEIIIYTMKg8//DAOPPDAOFx55ZUzmv/ee+/Fgw8+iKOOOirWLV68GIceeihuv/322d7cTYJXZgkhhBBCnmTsuuuuWLVq1cTzP/jggwCApUuXZvVLly7F/fffv0nbNtvwZJYQQgghZLYob51b4Ehxe46qtuq2NLzNgBBCCCGEZOy+++4Amiu0gYceeqh1tXZLwyuzm4EggRnUAAZoBLAaFRTroXFsEhmsMhbrte9EL7XYAEWlJVtEggAAIABJREFU1g1isd72UcHCaDVWGlhPLAZqYKxx9+WLS36pBU4qUBkpgqlI42ikiS4m9EEzJGJAI5m4yq4UJJdSk0oskk8D+Tfboi72BTLZQ9O+HZQ35euoL5dD0r86U8ESny2rK9K6SkGsS/rKhK9ATPlK+6bClxNMIE4xEWOjBDYT8SumfiXil/FiVyp+NUlfmktgcIJYBduZ/OXEsHbaV5DFAKCSXN0K+4gtv3trSP/SKIFl84lFre3v62Xyl1XjJS+TyF4m66eaS2BhOk3/is6UohDBmjdHmf4V5ZpWecz0r6QupHtJ0dZOAQuCmLbTx6wXisrlF/KXBCFrHPkrSGII4lg4qKBdDyRtxfSoskfKdLAWrl0LqSvIWp2Et2PxVhoqggE+DQyxfhwJDKHWC12pBBYOHJn45evVb7/4g1A4BkYxTNHIYeG1tgo1jZzbHKMTGQzNdEi3C5JXk/oo8fXvTAEL0pj1T2/cV8QnfiHKlLUKTCZcGli1zRji5C4YL4YFCcyg9uMp7WGR1LAd+/2cM91bcQHwtKc9DbvvvjtWrlyJF73oRQCA9evX47vf/S4uueSSLbx1OTyZJYQQQgjZClm7di3uueceAIC1Fvfddx9+/OMfY+edd8ZTn/pUnHPOOfjgBz+IZz3rWdh3333xgQ98ANtvvz1OOumkLbzlOTyZJYQQQgjZClm1ahWOOOKIOL1ixQqsWLECy5cvxzXXXIN3vetd+MMf/oAzzzwTjz32GA466CDccsst2GGHHbbgVrfhySwhhBBCyCwR7ghbCBx++OHu1pAhiAguuugiXHTRRXO3URMwD24sIYQQQgghZDJ4ZXYz0ZcKxhs8RmpsUCfBbEDtx06AcelfFuvVotIejFoYa1GhlwhhNqaBTUmFnloMbA2DfisNrGcsBtZgIBUGaiC2kXpqazCwxks/gtqaThHMGIG1idhiDTSmgHkZIU0F6xyCuIC2DIamT/MTJpqU02UU6UfJWJE4Ul1fLDvqxvqyXHogwwLGhqZ/aV5XCmFJ+1Dpa0Tql8TUr0bGCGlfiKJXIX/5YSaJX7MlfvXNoDPtq0v6ikJkx2WNCjXqVN4KSUMAnFljAQFqTVL4xMJqBQNF3VricIKEEkQvIMhdifTlpxHGMQEPLammK/0rE72QtzWiTiFtWbSkrkbKKpZhi/ZsvkIWs9pOEQsSUZf8FaSoMeWvVurXTMSvrkQwdMheI64ulUiW8hUX0IhhXUJYmKdDBGsJX2UaGJwE5pahTvDy+67ztrzgFdLACgksCFvN45aY5hXeO0EUa6bRvJahLptW/75FLn6F94Ck8lf+ngxv9VYKWLAgpVl3mgJmVWD8eq0VSKVxH5NEskyT9wZq3OebdftxBYspVOhXNWovbjoJzH2O1XAD2brgySwhhBBCyGwy/ncrMgvwNgNCCCGEELJg4ZVZQgghhJBZRGZw2wvZdHhllhBCCCGELFh4ZXYzUonBH8kibNApVD67pEKT+uVuZlesRy9LBKuMYr269C+jiimt8jQwdTfAG1H0tMJALHpqMBCLKS+CuUQwg54YDNSJX6UIFsq1NTAKWGtgxd10n0lgpoa1zlZI047ENAJBlMGAKJik0svQdLCkrp0CplFkaEtgjZSTuULDvgxP9yV5mC8wNPlLs/Ys2cuPW0JY1lbWJdMdbdJK/PLTQGfalwhgjIUA7r1gLIwAlbExBSy8H2ZL/Ar1XUlfXeKXE8Ry4atCnv5VUgmapK8ofOXfyStnNGUiWEkNk6UE1YV8EmjSiFydK/vVZ2lGjQTWpH9Jsw8ALRmslc6VtifiVzpvKnYNSwRrSVxdcljWR5NlarIcHS5/aRCdXDmIYmldJn8VqV8tIcw9ud2yV1iXbdcNnR6HDskrDZ+Lb4+yX5TH1CVsoRC+oPEyUZTDjMbldKaBBYnKp4EpGjEwSmCaHMbC+8BLa2Lh1hlEMW0kryYlrJkvyGOd4ldah2Y6TfyCfwpaKWAWEPEpYMl7Pf9McO2pTFlbgZFmX1MV95nlP8u6UsCmtEJfa9RhPnH79JT20J+R7kmeDPBklhBCCCFktogXZMhcwdsMCCGEEELIgoUns4QQQgghZMHC2wwIIYQQQmaR+RBnOw82Yc7gyewcsI30Yfy/DRi4xCW1mFKL9aga+Uss+lr5NDCLjf4G9/W2j8pYTGkPU1q5QfzYVj4VrC2ChRSwUSJYJYral61R1CERzBoYg5jUYozEcrjpf5gMBpVMJsgGoFMIA9rSQSp7KZDLMKExkSJaB49J9+RCBsvFr3a5K/mrJXuFumF9u1K+YsJXGKNT+oqyV5IEVhVpX+E1FwA9k8heyCUwI7ZT/OqZGpUXw0LCVxC5gvgVU7+88NVIYG3pKxW+TGLdVCNetJjqE1/wJvXLvUHctJ3BH5yC+FXSEsHSJLCiHPcHNBJNV/qXJOJXJmkhKXcKWh3zDEv3st3LyJejybRmywnzQxVSD5e/4r5mtTv1C2jLX2XqV1fiVyGADZW+ZkMAm4ZOGawkiFdhntA/S/4CUAMqeRpYSwKDT030EhgsnNwFL4EBLhUM7jl0SWEAJBfG4N8HMSHMp4mF1zkeS/3rFY7b2eP1261VKn8l85UpYLFPkgKWlNO2mP4lzb4U0r/cJrnUL1HNBEwLyUTNWlMJzKCOSWAGVvhH560NnswSQgghhMwms//9ioyAX18IIYQQQsiChSezhBBCCCFkwcLbDAghhBBCZhEKYHMLT2bniL5U6EuFSgXrdQAD6xO/akyJS/rqax3TwDaiRl8qrLdO0NmoFaa0xpRWWK99GLUw1iU+GXVDBQujlRN2OkSwnkosWxXUXgqrVFCLujoTBDCF1SYVTOHKQQrrlMGgMd3FSQOpEKbI0mBQThcOR1IvZXs5BqKAE9jUA0nLCUoX2CF5uXm0mR6WFibd00OFLzRSV+g3nfQVxC+T1KdpX0bUi1qNBNYzdSJ9FSlfHeJXkL36Mjz1qy91S/oKCV+hHwBUiXliOhLAgtBVwad9hf6KTAILSWDGp39V0GnyxNo4ucRk05rJXuG9nk+7Ds37vXxvt2UwQGzTp0z/inXJvC0xzKbLLZcT+mgxn8ZkMbFeBKsbESzKX8k8URJL5a/Yv0P+6kr4SmWwUD+O+NUlfZWyly2mZ4TGFK+47LDjJeX4luv6W2Z4kxUiWDv5qxTDxpDA/n979x9kVXnYj//9nLO7gEqIEVh+aBCnNmZCqOMiyFpjayqW5EPtNFoVxeC3hQCaomDLSGxRgyWjlHTQAgOZiE01OoOpTixjshoxKGQEwkxRm2gTjbUsxbWm4g/cu+d5vn88P87znHPu3btw9+5e9v2audxzz6897D27e/bseZ+3smN1CAzCLodMU5hKvwcqs4QNZpn/pttnojTQ5Y93gTG7XMH4si1gUujvT3Y59z3fTkMaBkM6Xe8GApH9meIFwvzXafgrMo9yITCBRIg0LEpDBg9miYiIiGrpOE+oUN/wmlkiIiIialg8mCUiIiKihsXLDIiIiIhqxb/mneqCB7N1ZtvASkgQowclodCtFGL0oBuRDn+JBM0qRkk1IY6UaQJrQkkl6FYxIqVMC1hiWsCaXCtYk5KQShQ2gkkVoSeS6JH6AvqeKEZshpPIPLvX0rw2jS0KkCYkZsMvUnqBGAUEbUi9BMIAhKEwPSLzOh0dyEwH8t84jrsQKNcCpvLTyoXEipq9vNdCePOXa/gS6XfDKFJB0Ktc6CsS0C1fLuSVCX6huravXAAMej7b5BWEvyq0fTWLHhf6si1fsQmL2aCXH/4qav9KIBBDunAXRCYIpgCICFLpNjGICIlCEP6KoJBUeKsB6FCJ94b6wS+7z+th/ez2dSDY99MwGNIUoQnEFAa04A17j3Khr+y4oP0rtx5VZrw3zgWz7DizjA2H+UGvvoS/KjWB2U9kNiSGguBXUegrG/g63i/2bEqwwt8rC4NgNigmAT9Q5gJfQNAG1qcQGJQObJkQmA5QmXmUCX5JkYa0vHlc2NBuowuIIdwXpdJNY+a1Hw7z95WqW8BMGCwNPOphZYJgbpL3s0OanzFK6aBXZEJfNpAplUyfIZAgQoLIBMMiJHZeoX/OlRQPbYYaXmZARERERA2Lv74QERER1dLx/nWQ+oRnZomIiIioYfHMLBEREVGN+N04VB88mB0Atg2sWcX4WJXQDGkCMxItSuKoilGCRLdIEClpwmCJC4K1mOGjqiUIgknThqJDYTYQpoNgwyBQkrr9qyRiHQBTEjIS6JFhK5iEQI+MdMgrkqZ5RUApaQJi5kJ9EeUu5K8mEAYo0xLjhcJg51NuOAiG2XFA+OcbO8mtux8Uhb/84XLBL6ShLjs+2+6VDXz5DV9FgS8BpM1ekXJhL7/py7627V5+85dt8vKbv2IvANbXti/b8mVDX3EwTrrAFwDTApY2f/ltX34QzEpUhAi6ASwWSRgGE9ApHCHNfGkLWAzpWsN6UxT8sq9tAMWN91qJgMz+DeSCMmkABsFD2PHwX4fz9tb+5cJfMj9PthksHa/KLht8DKmCYJhQCkiOIfwl7S7uj/MCXX0Jfvmhr2zg63gDYH7rFxAGwrK7kW3z6q0RzOYVzfxh6KtvITDd+mXavqSCiPzvpYAN8kH4jWBIQ1omHJYNHKpgnPICuplAV2YfKdsClplHuO/5dpowH0d/EtKfEcr9HLHtX1KF7V/5JrC0AUwKoVvARKLDYCJKA6M0ZPAdJyIiIqKGNWgPZjds2IDJkydj+PDhaGtrw86dO8vOu2PHDlx++eUYP348TjrpJEydOhXf/e5367i1RERERIb/14eBegwhg/Jg9tFHH8XSpUuxcuVK7N+/H+3t7Zg9ezbefPPNwvl37dqFz3/+89i2bRteeuklLF68GAsXLsTDDz9c5y0nIiIionoalNfMrlu3DvPnz8eCBQsAAPfddx+eeuopbNy4EWvWrMnNv3LlyuD14sWL8eyzz+Kxxx7D3Llz67LNRERERFR/g+5gtru7G/v27cOtt94ajJ81axZ27dpV9Xree+89nH766YXTNm/ejM2bNwMA3n6nt26g/mODYB+rEppVgqMqQQk6cHNUSTSrCC2Q6BYRjqrmskGwkjINYO5Zh79KKkaiIpSiGD0yQpOI0aNitEQ96JFx0AomlQ59yShCj4rQHJk2MHPxvW0Gs4EwfbG+1EEwmQnGwF7Y33soDDoiANcUZlYQNCmZ6TDBsfQ1wnls2CCr2mBYUfy0KPDlzRu0eXnz2KCXm8eEt9JpYdjLjq8U+LItX8Jr9bLT/ZBXb6GvXMNXQegrhnTzFDd+9fQa+ioKfMVeExgA1wyWJZUOfQFAAhmEwdLmLyBRsWv+si1gErFbd2Qaggo/RqbCTXr7iR/y8oeB7P5t9mO3vwrvYXcNr/kuE7CpHPCqflw+ZJZtBlPe8iqYz42XyoW6gvCXtOvxx/Ue/hL+nzpt+Cszrurgl/8n06ANrHj/yc0revkeEHn7iB8Ic6tXrtnLn6dsEMwLgQFFoa/s6/IhMN2YJdK2L+gQmP12J2yDVwIgVkgDiaY3zO4DZr5gP8kGxMxz1S1g/l+zlYCwAS//4bbBbJs0n14lICUgRPp1lEiBSIhc4DIMf0Xm4YXAzEOHvwSS3t7vOuDdDOpr0F1m0NXVhSRJ0NraGoxvbW3FoUOHqlrHk08+iWeeeQYLFy4snL5w4ULs3bsXe/fuxZjT4uPeZiIiIiIaGIPuzKwlMr9ZKaVy44q88MILmDt3LtavX4/p06f31+YRERER5bmz0lQvg+7M7OjRoxHHce4s7OHDh3Nna7Oef/55zJ49G3fddRcWL17cn5tJRERERIPAoDuYbWlpQVtbGzo6OoLxHR0daG9vL7vcT3/6U8yePRurVq3CzTff3N+bSURERESDwKC8zGDZsmWYN28epk+fjgsvvBCbNm3CwYMHsWjRIgDAbbfdhhdffBHPPPMMAH2f2S9/+ctYsmQJrr32WndWN45jjBkzZsD+H9UaJprRBN1gUjJBsGYolAqCYDbopRvAmtGsmlwoTKKEbj8EpmKUpH4tI90AZsfLqAc9pilMKqHDYCb85YfBbBuYjOyF9umF+T0yMrmC9EJ9/ZwGZKQJI/ghMGReu2CNDcnY6fYT5LeGAcGfb1xQLDM+Xa5oQi+yV+57H0IUtIFlQ2DCny8X8EqnVRP2AoA4kmnTl5kn2/Jlp6chL6mHTSDMBr36GvpKW77C0Fez6EFshsuFvoJhF/wKA2DlJGb+BDr4FUMhsUESLwQWI2wBS8zv55GQSFT56+H9sJf/2gZL/HF2//X366K8UhpuNCvNtH+lgay0pSnb/uXmQdFy/rgw4CWChyr8uP46woYvuICWyHwMSPefO7bwlx/kKmr9KvpEFrV9lQt9VbiXplLheipeppYNkkUF53nsLAWTXJCqwvy9hsDM25YLgUlARCoNgSkdFtPNYPr7pFBp+5fdt3RATAX7mw1hufAWwpDg8bSAhfOm08x/xU23yyvXCJb+rLDtX+5rzrV/RZBKps8QSBAhQWSCYRESO6/QYbCwyq3+ymRbqZ8MyoPZq666Cu+88w5Wr16Nzs5OTJkyBdu3b8ekSZMAAJ2dnfjVr37l5t+6dSs+/PBDrF27FmvXrnXjJ02ahDfeeKPem09EREREdTIoD2YBYMmSJViyZEnhtK1bt+ZeZ8cRERERDYg+/kGQjs+gu2aWiIiIiKhaPJglIiIiooY1aC8zGGpiESFGFATBSkqiGRIl87pbRSYUlqBZxWkDGNJQWLNKkCiRtoGJNBCWuACZDX3FKEV6uEfFSJRAj4whIVwwrEfp8Jedx7WxqHwgTHoX7/cWCgPSYI0fAEuHw7CYna4H/EYm5dYV8KYdk0wILCj/8sJd+nU4PtvoZcf5QS+guNkrEioIe9n5gpYvL/ClG750CCt8rUx4KzssXeDLhr9cu5cJcRU1fbWIHhPosgGwpNfAVwyZa/ryg1/ZEFjifZYjMxwrE/wS0Akb2/5lgl8SOnkjIZEgRix0CCyp8NZnw19JJvAFpPtcNgwms/una1uyDy/0VWZ8Ldu/yj3C0JcKg2MyO382TKaC8Jc/vs/hL7/ByzxEdpwd1p/gyqGvTOBLZV6n8+fHK6iwxcuTG2s/Xh+CYNW0gfUeAss3gelvqMKFwLIBLwFhwrEKkCYsG4Xz2dXk9hMUB7yywa9yLWB+oAsSuhXN7G96mm52zH1tKGXCZ3q6myXb+uW1f+WbwLyfQ0L/PGsWiQ6DiUEQAKvwPYhqj2dmiYiIiKhh8WCWiIiIiBoWLzMgIiIiqhV7KQ7VDc/MEhEREVHD4pnZQcYGwYaJZpRUgmZVQklJlIRCt5IoKYnhIkFJRSipEo6qJnQjhlRRLgxmQ2DdqskEvrwwmNJhMBv2cqGwSK+rFEWuDamk7HCPawizrSw92RCYd6F+USgMQGEwzB8PpGEABM8IXueHw89l0A7WByJz5b5fHORPKwp82edsyMuOt0Evf1pRs5cdBqCDWVEa8LINX0WBr9gLhPktXzF0I5hu7MoEv1zYK3HBLT/g1ZIJhPUW+LLzAjCv02FfBAXpRW+akYbAYvPeJUIhgtBBMCFNHxhcCCyBBIReLkZUlPupyAW7vO2oFPoqekbRswvJ6HEuQGO23Q/m+O1f2eDYsbR/hfOrYJq/jmD9UgXjw/CXDYQdQ/grrEjLt375wa/cuHzTVy7wVe4NV2XCP7L4/E02tOX2hiRJv8CzYTAv2BUsa9vAlEqXrSYEBgDCtn6lITAhlV6fCYHpMJeASBQQC7iWL0C/hxImlWXDiXo43eeU2+eUXcYPZvWhBUxIAWWqyyq2gHnDNjhpG8/SVj0BCbifCUU/R9LwV/rzKQ0j60ciIhfqHEgMgNUXz8wSERERUcPiwSwRERERNSxeZkBERERUS7zMoK54ZpaIiIiIGhYPZomIiIioYfEyg0GsWcRoFjESJdGDBEdVj76zgVKu4naYSlBCZO5uEKMbsbljQRMSiNydDexdDNLpuvJWmmF3lwOTEtXDkXdHAxEM+3cv6JExAITVgxXucgCg7J0O0mG4Yf85qB7NfN7K3cWg3Pjs3QvKjfeXtgl9kXnO3q3ATiuqpy26a4E/rujOBek4heYoccN+XW2luxdEUGiOetxdB5pF4ubxK2ubhZ5H3/Ggp/DuBS1ICu9coOc148rcyaBIAqHvaKAEpEmB6zsZCCRCASoGzN0LAAAKiIVONsdQptJWIIbU+xsilCp9vIL9wd7VwD17SWtl9lVbu1z0nL1DQb4mNEyKZ+9WYHe5aqtsy9XbFq3bJt39OxnYuw74dzuwdyRwdzKQ6tjvZODdnUDI8HWu7taNy1fXursYZO9eUO6uBWXv8VndXQ78uxu4vaSo4rYv1ba93NHA3+zcHQ0U9F0LpK521vcwEPp9idI7EwiVVt5m75qhvGF314MIZe9WkB0v3MdIx+cqbd0+rrxp9o4L4XSl9H88/frRd0Zwd7sBMj87Ikgl02cIXV2NyNzlIEJi5xUDe55OgHczqDeemSUiIiKihsUzs0RERES14v8FguqCZ2aJiIiIqGHxYJaIiIiIGhYvM2gA2YrbkkpQQmLCYBIlSJQU0K2iXBgsW3NrA17dKoZEhG7VlFbYqliHwmQYCEuDYPqC+x4ZZ2oF01AYgFwwzF28XxAMA8LAGBCGwPx62+C1F94JwmBlQl691ZxGZdoP/RBY5A3nQl6Zefwa295CXnZ8uaCXraYtet0UpQGubNCr2rra3gJfNiTmV9Vmw16xGdb/FyC2DaDe5zIu+Pwm9v0B0AwF3dCpzDSBSAmUdAoGEIkLgUlEgNBhkAQSSZnfy2OoiiEwAMF+6z/bwJceBzdOP5vX9h8XbMms3B9vQ1n+MkjHZ8M31VTZhmGv7DTlTVc68BOsr2hdNsyVLg/guMJfIltV64e5/OAXoENWRdW1bh2ZAFe5P+WW+4Ive/oms14vEKa80JbbRiAfBKtUbVswXzYEpqf7oTAvBKbMa5hglXkFpefRoTBh5lMmKOaHwfQS/nuvgtfVVdraEFj58Ff5Clx425LW2wr9fzCBsKDaNvtAOJx40xIVQZowqK6zHfjzdAyA1dfAv+NERERERMeIZ2aJiIiIaolnZuuKZ2aJiIiIqGHxYJaIiIiIGhYvM2gwthUMQMUwmG730mGwbthwV7b9S7eD2ZCYDYTJSAQNYVJFaTOYaVrxW8ISREHIyw+GFb32gzb+cv44OwykoRt/Hv/Znyc7/lhFmav3i4Jg/jw22JWdXhTw8qf5oS4AZYNefrNXubBXtt1Lh7563HLNoscEtXRTWItI0pAXkrLtXuXCXjboFSENd8VCZEJfld+LxPwtTgJIlEKz0KEwCSBS+mPpPIvQSRobAhM9gGpCAqlbwFz7VwQJiZIqipshFxQrt08V7YfZNjAbXgEQPrsgjEgDMblpKAyH6fnCR6X2rz43gAWhMJgQlg2P6TBXGtSygbBKYa9jCH9lxwFB61dh25fKt4Ll5vGVawaTZc7f5EZ7y5tlCoNgldrAhGnC6kMITCiVaQazAS8BF/uSgIgUlDD7F6ADVyYQBvMaNgymRDjd7g8i3D+qaQHzl3Nvhdf4BWTnt0Ev+5/112mbwPyvK/u1hyAEFgTCgp8pEfwQmG4A0yGwgcYAWH0N/DtORERERHSMeDBLRERERA2LlxkQERER1Yq9hIfqhmdmiYiIiKhh8cxsA/PDYImS6IEJhCmJEhQSFw5L28GkErlAWKKiXENYggiJskGwKA2CmQvsXTuYCYRJCJSk2RZ4F+VXCIcBCMYBaXuYG86FcNLfv7LhHTe+bAtY8fhs2Kvc+GzgS4+TwbQg4AVv2IS57LLF4/IhLzucDXrFQhY2e1UT9rLBsEphr2bTDFYU9NIhL+HCXZHwhs3vx7HoJfilbPBLf/4SKEgoJFCIzfRIACUFtAgd7gIQhMASIRHbwAckYkSu7StyVUVALPKBMFnQEGTHFYUJ/TYw5Y9T6XMYegmHgzAWUDak5V6juvYvO58/LWjvstNcUMubLpVbVp9JQhrk8cJf6fzHEP7yG778eew4GQa7VBAQ80JYRaGw7Dzhm1k8PqoyGBaEuGQwTxAEq7INrKoQGAAIlW8GE0IHw2yCSsE0fMF2gun3KRJusn7vhP6YLgyWDtsmrr62gLkAF/LLuK8BAFDC7Ve6JUy3fIVfH8qtK/06Uua1CX7ZYXhhYSXTZ+ifMfq7mw1/ibLf6+uKJ2brimdmiYiIiKhh8WCWiIiIiBoWLzMgIiIiqiHeZ7a+eGaWiIiIiBoWz8yeIGIRIUaEYaIZQD4QlkChpHpQAoKGsLQpLHatYP6zDoQ1ueCXbQrzg2J+MMw9Z8JhiQl92QambEBMj0ubwLKhMADBNCsIhGWDYL20T5UTZa7cD4JfIg2Q+OEtf75ssMuOs+EsO2+5gJddzg95hc96mRbRY0JdadDLhbvs/LbhSySI4Td82e1JW72aocoGvWzIK0Lkwl0RIkTmcxz3tXFH6H0UACSUafBKn0uQplVM6c+YUjpFAwAq0uEvJfS+CAnbQRYjDYtFQgJlmsB8siDw5YcPXeMXMnkmu5DKPBeNLwzhiCDE5c/rh8D62v5lQ1xBuKvMdD8kloa/VO3CX0HYKzNOyjD4pT/xvQe//OkVbn/k1mkIIaoPhtlAWLBb54NgFdvA+hgC09ucvrYhMKF0C5iIAAWh27egzLNwLV+6KQwmtAb9vkqYui4TYFQKQescwtd9bQFLp6XhNCGyy3gtYJlh5T6GCX9lWvZk9oGiJrD0azUxrWCDoQGM6osHs0RERES1lK1epn7FX1+IiIiIqGHxzCwRERFRDTEAVl88M0tEREREDYtnZk9Q2UAYABMGSyAhTUuYRKIUSgASBZS8UJhtCpMqQjfl/qCuAAAgAElEQVTS9i8/GCZhAmEqco1hNhxmg11+QAxAYUgMQBAU0/OZ8UFALB1nheGd8Hez2gXApDecTvPDXP6zDWgBcMEuf9iFvCqEu+x69DL5kJcdn232suvQga+00UsHw2woLGz0arbhLhEFIS8b8OpzuKtKdr02uqX3TIWSShALgZKSpgXMBFuUbgiLhEKsTGOYaQGLIc1+3XvgyyoXHpTwA18iLaRywRSYwAu8UIt9wARnss1f6fzlG74KQl1umT60fyGz3kz7l1AwQSu7rHLZJhfO8cNfdp5jCX8Fwa58+CsIfgFpuKvceH8c8iGvHK+hq9K8ws9/RfnWLz3erdRNq9gGJrPLVQ6BQQjzWrl1KilMK5gXAlMwrwERpS1efrhQAWlrmAt7pdP9+YrChTYo6LeAAeF0f1lh3lr77Ie90mm6r8wPm9lpachSecEvwA+BBYGwoE3S/KxREaQQ7ucLDS08mCUiIiKqFf8XAKoL/vpCRERERA2LZ2aJiIiIakTAXIpDdcMzs0RERETUsHhmdghpFjGaRRiQsU1hOgim28IkkAuGJeaiexsQc41gXjjMhsKC4aAdLDIfMwyKAQjCYgBygTE7rJf3gjteyCvppwBY7AfAvGl+kAsAYij3OhxOg2J2uFywK5wWtnj5AS8/OGbDXbbJKxvyahHChL2KQ17ZfWKg6NAiEEGgBwkA+/mWNvVihvV7a1vASogRQ++vtvUrhkQJca8tYEkm+OUHwfy9QKowFKZM4Ev5QTAgCIHlGr4KQjbCv7auXBAMBctmxqWPsP1LyOx6lAt3uXYwmS5nQ2FuXhsOq1X4S6YBr8LWr3LBr0qhLynRq17mUV57VxgGMy9ElG5DBNOyJY+pDay3JjDb/OVe230ItsXL/KMASAHEJuxlG86EmVeZhi8TIlOuGUyl+6aw72fvLWC56SKdng9/VW4PS782lPuvpEEwZV6b4Jcddu1fEaSS6TPSJsm0AezYvvdT4+LBLBEREVEtVfE7FtUOLzMgIiIioobFg1kiIiIiali8zICIiIiohng3g/riwewQZ5vCirJSaVtYggQKUimU0INEKSTQlwSVFEzgS7jAVTYklpgL9AEUhsUABIExIBsAS4NjlkQ+DJYU/KHBD/RUy2/5AtKmLyAbBrNhLhXMlw1z2XljPxhWEOrS6wiDXZELdBWHu2LABLnCgFeziPu9wau/2H0yQoSSSlzwK1H2/67QDGn2Of05SWBCc4gQC4WSgguBZWX3k2xQ0LYM2WHlh8JsAxgQPvshK3jDfiAGfphGhEEZ5IM2QRAsIwh5KQQPZLYn2/4lgo+hvPCXbQPz2r+k90O5r+GvtDotDX+Zdalgejq+XPArCH1lw1zHe9AgRLDOwjBYNghWTRtYFJmgmDquEBiCYb0JCkIHrmAatjItYLppS7iQlr8PZkODqmBcrgUM5ab7+3/a+AVkg1/m81AwrNz6TPjLNe1lWr+89q9sExhg2iKRhsBoaOHBLBEREVGtlPkllPoPf30hIiIioobFg1kiIiIiali8zICIiIioZuzFxFQvPJilsnQzVIxhorlweqIkJBSkCeeUTGuTtIExIAiLJSYHkXgX7UsXFLMX8YvC9i8/QOY+vhce88kyf3BIilJuRlzmAqeoTPjLb/jSr/MtYPZ1Oi4Nc+n1FQe69DQ/1CVcIMq2djVisKuvXDOZAiAA3U2ng4iJDX6ZtjSoGLGQKJm3UQ9X32zmh778ca71C2mOyb4Owi3ea2HCXcILtoSBrHyLl8hOy4S0CsNduYfy1hG2f6WBLjtPGijS22ECOUXhLxcSO/7wV9nWr74Ev46lAaySKPN1VBAGywXBTPNXEASTERDpEFMQAvNm6XMIzLZ7mRCYUAJKKh0CU6bpSwIiUibMpVvARCTc8VTQAoZjawErbPVCfnwQKAMAJVwAUUF/bSj7wm6f223s15vygl8IQmBK5cNfuglMpA1gQlT8Xk8nphP7pyERERERndB4ZpaIiIiohjJ3eKR+xjOzRERERNSweGaWiIiIqJYYAKsrHszSMdNNTYBOKVS3jB8a069NgMy8tuEeIM2m2BCZlY7PjwMqB730csJsf+VvNtlQmP9njFiE4/zglh0fm+3QAS47PvbmGRpBruNhQ2BSSTRDIIFCswAS24qmFGLTplYyIbBYFTd/+STygS8gDJv44/wWMB2UEd5wdhyC52zYC9mAWDANmfBY8fiq2r9U2v4FlQ+Rhe1f6fqKA1/uk5GGv8zrYw5/FbV+ZYNffrirQguYOo4DB5ENkAWhLT2tYhAsMo1WNgQGHewKQmB+4K4vITDlDZsQlw59Kd0uZsNUUrd9CdP8pacD2XCiDnt5r20QS+THubAXMsEvlV+fC3357V65ad7DBdHsQ3khS9MEhvTr0Q279q8IUkkTCE5yITAaeviuExEREVHD4plZIiIiolpR3ll8qguemSUiIiKihsWDWSIiIqJa8q8jH6hHL+644w4IIYLHuHHj6vDJqT1eZkB1FYTGgKqDYzR0NYs4DQxCIVG6/asZEhLCtazFUCiVWUe5RjAbHCmiTAOR/9oPg+lhO9F7dkGY9LWAF7zx50MmvBWs4zjbv2DX4f6z3jqVafhCGvbyg1tB4MtrAvPDXvDmqSb85Qe9yrR+VQx++c1cuRaw3n9wFzKNXZYQIv04QXCrQhAsaANLg2HHHQITwgzbHUWk6xC6WUtBmJCVMs9+qxe8AJeq3AJmlgHC5WCWVd582X1RAcE02+oFZANjYTjM/xpQSri2PPt++F9vMvtA/nWCCAkiM43n6ar1mc98Bjt27HCv47j65sTBhAezRERERENQU1NTw56N9fHXFyIiIqJa6vWvKf3/ePvttzFt2jT32Lx5c24zf/3rX2PixImYPHkyrr76avz617/uh09G/+OZWSIiIqITzJgxY7B3796y02fMmIGtW7finHPOweHDh7F69Wq0t7fj5ZdfxmmnnVbHLT1+PJglIiIiGmJmz54dvL7gggtw1lln4cEHH8SyZcsGaKuODQ9miWjQazItcwl0Y5yEci1gEaR+KPMszLDQDWGRkEBB+MvnGoRgQifBtDD4BXjBFiAT5hLmGS7QUhT2qtTuZecrN72o/SvYDje/ckEffzko6GCRC24BkF77VxD48oa91i8XOCsKXvU1/FWu9SsbvgoawIo+bh9v7Cmi3HpUEMyqHATTYTGVaQODCWrJ4w+BCZU2f0U6pJcOm5avWIeqdCsYdBmjCXa5FjCRDSMqZAOKfiDM7eYF+x+83SAIjqkw/BV+fQi33+npAsomxzLLhCFLZQJeCEJg2ZY+CYEkM24wtICJ42ilGyinnHIKPve5z+G1114b6E3ps4F/x4mIiIhoQB09ehS/+MUvMH78+IHelD7jmVkiIiKiWmqAM7O33nor5syZg09/+tM4fPgwvvnNb+KDDz7AV7/61YHetD7jwSwRERHREPPWW2/hmmuuQVdXF8aMGYMLLrgAP/vZzzBp0qSB3rQ+48EsERER0RDzyCOPDPQm1AwPZolo0ItFBKkUYghE0Bf7+81fMfoY/qmCC35542xeyg+3uMRMNlCDonCWyE/LLJuGwKpv/wqCYTINernlpfI+rnLLuKCY+8+p8oEvmY4T2aavbDtYNvylvFCX/7qo9ava4FdB4Ev1oQlMRDI7Ili/zRDlgmCmJSxoA4vS0FeaRKkyBCZMaFCqNATmtX25EJgfCBM69AXTAqYnhC1gAkhDVkhbwFScjs+1gJUJfSHTAuZP1+v2g2Fp05cw4bC0CcxrAYO3PrORbpNsCEwoF/jS09L2L/0ptOGvyIU4ExVBigGullRAP3xLogoYACMiIiKihsWDWSIiIiJqWLzMgIiIiKhGBFRD3me2kfHMLBERERE1LJ6ZJaKG0CxiSEgkUCipxATBdAAMAGIhEUMi7uMZEemFSvwWIZ/LQwWBrzTMVThsQzLwgjQAsgGasq1fyM+Xbf9KN7DcssqtO2j/Qjot2/7lpgVNYF64KxsMq1X4q1zwq0zoq2zYq5omMBHllg8CYV4YrDAI5m9nFOkQGKDbwGRkAmHmk10UAgu2N90OXVYn0veiIBAWDEu9qUrBtYCJyISpbEOZMNP8/UOUCxaGgTCVme4HvoL2LhTPkwt+IdwGPxhp16WHVZoTK0MHvmT6DBMKMyGwAcczs3U1CN5xIiIiIqJjw4NZIiIiImpYvMyAiIiIqJYGw2UGA3y73XrimVkiIiIialg8M0tEDaMJMWIkaBYCJRP+iqAQqzQIBgCxUIgzQaBssMtvEspy7V+Zh6VMYEW/8Bb0g1l+MxjCEFdRwAvZ6b0FvDLrtO1f/nYE7V8uBBa2f/nhrzTw5Q0DQdhLZMNgvYW//CCXkmmwys5v119F8CsX+ioX9ip3Vsw2Q2WXywTCgjCY1Od8CoNghW1g0i2jTxdVCIH5IS+7fUHjmZ4ulNLNX5HKDAu93a5qC4AULlxlW8CUfW1awCCUawrrUwsYRCbYhVygzIXCMl8f4XQB5Sq/bIDN7kbFX3sy+0A4nCiBBBESRC4MNmAUBkcDWDzQG1A/PDNLRERERA2LB7NERERE1LB4mQERERFRDbEBrL54ZpaIiIiIGhbPzBJRw4hFhGbEKCmJZqg0BCYkItP+FQtZuToIQFIm+NUbF/zKBLhgQi3ZsFcYpgmnu+fCQJhCLiwWbIh9qMzH8Jq+su1fgAl2wYTAMuEtwA278FdmnpqHv3pr/SoKfvnhrb6e/So7f9j+ZT+eiET68bwgmDDBr6ANLIqgbAgvkmmLWLUhMBP+EjINm5kN0uMBHfwSZtiMhxA6FGbDWSLdBxRq2AKGcL5cG1im0cvumy6bVrQeiPDj+psQBL8QhMCUyoe/ALhxg6IBjOpq0L7jGzZswOTJkzF8+HC0tbVh586dFec/cOAALr74YowYMQITJ07EXXfdlX5jJCIiIqoX/5e+gXoMIYPyYPbRRx/F0qVLsXLlSuzfvx/t7e2YPXs23nzzzcL533vvPVx66aVobW3Fnj17sH79etx7771Yt25dnbeciIiIiOppUB7Mrlu3DvPnz8eCBQvw2c9+Fvfddx/Gjx+PjRs3Fs7/0EMP4cMPP8SDDz6IKVOm4Ctf+QpWrFiBdevW8ewsERER1dEgOCs7xI59Bt3BbHd3N/bt24dZs2YF42fNmoVdu3YVLrN7925cdNFFGDFihBt32WWX4eDBg3jjjTf6c3OJiIiIaAANugBYV1cXkiRBa2trML61tRVPP/104TKHDh3C6aefnpvfTps8eXIwbfPmzdi8eTMA4KVfAtP/36habT7VwNtvv40xY8YM9GaQ0ZjvR495fHTMaxAAms1jsLBZmX55TwTSxqBB95NhcBuQrxG7M/Rj05Qwj8FAAug2jw+qmP8Xv/hF/24QDSqD9luWEOGXkFIqN663+YvGA8DChQuxcOFCAMC0adOwd+/e491cqiG+J4ML34/Bh+/J4ML3Y/CZNm3awH1w7+4MVB+D7jKD0aNHI45jHDp0KBh/+PDh3Nlaa9y4cYXzAyi7DBERERE1vkF3MNvS0oK2tjZ0dHQE4zs6OtDe3l64zMyZM7Fz504cPXo0mH/ChAk488wz+3NziYiIiEJyEDyGkEF3MAsAy5Ytw9atW/Gd73wH//Ef/4GlS5fi4MGDWLRoEQDgtttuwxe/+EU3/9y5c3HSSSdh/vz5eOmll/CDH/wA3/rWt7Bs2bKKlyYAcJcb0ODB92Rw4fsx+PA9GVz4fgw+fE+GFqEG6b2rNmzYgHvuuQednZ2YMmUKvv3tb+MLX/gCAGD+/PnYsWNHcKeCAwcO4MYbb8SLL76IU089FYsWLcLf/d3f9XowS0RERFQro0aMx8yz/r+B3gx0jfjRkLmWe9AezBIRERE1mlEjxqN98g0DvRl4+6QfD5mD2UF5mQERERERUTV4MEtEREREDWvIHcwuXLgQQgisXbu213mfe+45tLW1Yfjw4TjrrLOwadOmOmzhia1UKmHFihWYOnUqTj75ZIwfPx5z587Fm2++WfU6nn/+eTQ1NWHKlCn9uKVDi1IKd9xxByZMmIARI0bgD/7gD/Dyyy/3utzDDz+Mc889FyeddBLGjRuH6667LnebPOq7DRs2YPLkyRg+fDja2tqwc+fOivP/6Ec/wsyZMzFy5EiMHj0al19+OV599dU6be2Ja82aNTj//PPxiU98AmPGjMGcOXPw0ksvVb38a6+9hpEjR+KUU07px60c2v7+7/8eQgjcdNNNFec7cOAALr74YowYMQITJ07EXXfd1b919wNdZTvEriAdUgez27Ztw549ezBhwoRe53399dfxpS99Ce3t7di/fz9uu+02fP3rX8djjz1Why09cX344Yf4+c9/jm984xv4+c9/jieeeAL/9V//hT/+4z9GT09Pr8u/++67uP7664O7WdDxu+eee/AP//APuO+++7Bnzx6MHTsWl156KY4cOVJ2mRdeeAHz5s3DV7/6Vbz88st4/PHH8corr+Daa6+t45afeB599FEsXboUK1euxP79+9He3o7Zs2eX/YXv9ddfx+WXX46LLroI+/fvx9NPP42PPvoIX/rSl+q85SeeHTt2YMmSJdi1axd+8pOfoKmpCX/0R3+E//3f/+112e7ublx99dUuuEy197Of/QxbtmzB1KlTK8733nvv4dJLL0Vrayv27NmD9evX495778W6devqtKXU34ZMAOw3v/kN2tvb8fTTT2P27Nm46aabcOutt5adf8WKFfjBD36A1157zY37y7/8S7z88svYvXt3PTZ5yHjllVfwuc99Dv/+7/+Oz3/+8xXn/bM/+zP83u/9HpRS2LZtW5/OklAxpRQmTJiAm266Cd/4xjcAAB999BHGjh2LtWvX4mtf+1rhcmvXrsV9992H3/zmN27cAw88gK9//et4//3367LtJ6IZM2Zg6tSp2LJlixt39tln44orrsCaNWty82/btg1XXXUVuru7Ece6j/bZZ5/FJZdcgrfffhujR4+u27af6N5//32MGjUKjz/+OObMmVNx3ltuuQW//e1vcfHFF+Omm27i10SN/d///R/OO+88bNmyBXfddRemTJmC+++/v3DejRs3YsWKFfif//kfjBgxAgCwevVqbNy4EW+99VbN73o0avh4tE/6ak3XeSzeHvk0A2Ankp6eHlxzzTW4/fbb8dnPfraqZXbv3o1Zs2YF4y677DLs3bsXpVKpPzZzyHrvvfcAAKeeemrF+TZs2IBDhw7h9ttvr8dmDRmvv/46Dh06FOzvI0aMwBe+8AXs2rWr7HIXXnghOjs78cMf/hBKKXR1deGRRx7hGcHj0N3djX379uW+98yaNavsezFt2jQ0NzfjO9/5DpIkwZEjR/Dggw/i/PPP54FsjR05cgRSyl6/V/3bv/0bnnzySaxfv75OWzb0LFy4EFdccQUuueSSXufdvXs3LrroIncgC+if5wcPHgxu8UmNa0gczK5atQqnnXYaFi9eXPUyhw4dylXhtra2oqenB11dXbXexCGru7sby5cvx5w5c3D66aeXne/AgQO488478dBDD7mzT1Qb9hrXov290vWvM2fOxPe//31ce+21aGlpwZgxY6CUwoMPPtiv23si6+rqQpIkfXovzjzzTHR0dGDVqlUYNmwYRo0ahQMHDuDJJ5+sxyYPKUuXLsW5556LmTNnlp2ns7MTCxYswPe+9z2MHDmyjls3dGzZsgX/+Z//iW9+85tVzV/u57mdRo3vhDuYfeihh3DKKae4x3PPPYetW7fiu9/9bp/Xlf3Tg70ig0UM1cu+H36QpaenB9dddx1++9vf4oEHHii7jo8//hhXX3011q5di8mTJ9djs09o2ffE/qWhaH+vtK+/8sor+Ku/+iv87d/+Lfbt24ennnoKhw4dKntZAlWvL+/FoUOH8Bd/8Re4/vrrsWfPHuzYsQMjR47En//5n0PKIdZp2Y+WLVuG559/Ho899ljFX6ivu+46LF68GBdccEEdt27o+OUvf4mVK1fioYceQktLS9XL1ffn+SAIfw2NK0idpoHegFr7kz/5E8yYMcO93rJlCzo7OzF+/Hg3LkkSrFixAv/4j/+It956q3A948aNy/3GdvjwYTQ1NeG0007rn40/AWXfj4kTJwJIL/04cOAAduzYUfFz2tnZiVdeeQU33HADbrhB34haSgmlFJqamrB9+/bcn2WpvOx78vHHHwPQB0VnnHGGG3/48OHc2QzfmjVrMH36dPz1X/81ALg7VFx00UW4++67g3VRdUaPHo04jgu/95R7L/7pn/4JJ598Mu655x437l/+5V9wxhlnYNeuXfj93//9ft3moeCWW27BI488gmeffRZnnXVWxXl/8pOf4LnnnsOdd94JQB80SSnR1NSEDRs2sGb1OO3evRtdXV3B3WySJMFPf/pTbNq0CR988AGGDRsWLFPu5zmQ/4sUNaYT7mB25MiRwZ92li9fjnnz5gXzXHbZZbjmmmuwYMGCsuuZOXMmHn/88WBcR0eHuz6NqpN9PwB9e66rr74aL730Enbs2IFx48ZVXMfEiRNx4MCBYNyGDRvQ0dGBf/3Xf8WZZ55Z680+oWXfE6UUxo0bh46ODpx//vkAgKNHj2Lnzp249957y67nww8/zJ2hsq+HSK605lpaWtDW1oaOjg5ceeWVbnxHRwe+8pWvFC5T6X3gmdnjt3TpUjzyyCPYsWMHzjnnnF7nz36veuKJJ3D33XfjxRdfdL/M07H70z/9U0ybNi0Yd8MNN+Dss8/GypUrC8/Wzpw5EytWrMDRo0cxfPhwAPprasKECfz5cYI44Q5ms8aOHYuxY8cG45qbmzFu3Dh85jOfceOuv/56AMA///M/AwAWLVqE+++/HzfffDO+9rWv4YUXXsDWrVvx/e9/v34bfwLq6enBlVdeiT179uCHP/whhBDuN+ZRo0a5C/T996O5uTl3T9mxY8di2LBhvNdsDQghcPPNN+Puu+/GOeecg9/93d/F6tWrccopp2Du3LluvuzXyJw5c7BgwQJs3LgRl112GTo7O3HzzTfjvPPOw6c//ekB+b+cCJYtW4Z58+Zh+vTpuPDCC7Fp0yYcPHgQixYtAgDcdtttePHFF/HMM88AAL785S/j29/+Nu68807MnTsXR44cwcqVK3HGGWegra1tIP8rDe/GG2/E9773PTz++OM49dRT3fcqe4kOkH8/st+T9u7diyiK+L2qRj75yU/ik5/8ZDDu5JNPxqc+9Sn3Oc6+J3PnzsWdd96J+fPn4/bbb8err76Kb33rW1i1alX/XTbIX+jr6oQ/mK1W9h6OkydPxvbt23HLLbdg48aNmDBhAtavX1/27AhV56233sITTzwBALkftA888ADmz58PIP9+UP/6m7/5G3z00Ue48cYb8e6772LGjBn48Y9/HJzBzb4n8+fPx5EjR3D//fdj+fLlGDVqFP7wD/8w+HM39d1VV12Fd955B6tXr0ZnZyemTJmC7du3Y9KkSQD0ZTe/+tWv3PyXXHIJHn74Ydxzzz249957MWLECFxwwQV46qmncPLJJw/Uf+OEsGHDBgDI3dd61apVuOOOOwDk3w8aeNn3ZNSoUejo6MCNN96IadOm4dRTT8Xy5cuxbNmyAdxKqqUhc59ZIiIiov42avg4tJ8+r/cZ+9nbn3yW95klIiIiIhrseDBLRERERA2L18wSERER1YoCIHkFZz3xzCwRERERNSyemSUiIiKqGQUo3uO5nnhmloiIiIgaFg9miYiIiKhh8TIDIiIiolriLfzrimdmiYiIiKhh8WCWiIiIiBoWLzMgIiIiqhXeZ7bueGaWiE5oZ555JoQQ2LFjB/77v/8bS5YswVlnnYVhw4bh3HPPHejNIyKi48Qzs0Q0JLz66qu48sor0dXVhZNOOgnNzc0DvUlEdKJiAKyueGaWiIaE5cuXY/z48XjhhRfwwQcf4P3338e2bdsGerOIiOg48cwsEQ0JTU1N6OjoQGtrqxv3O7/zOwO4RUREVAs8mCWiIeH6668PDmSJiPoNLzOoK15mQERDwsyZMwd6E4iIqB/wYJaIhoQxY8YM9CYQEVE/4GUGRDQkxHE80JtAREOC4mUGdcYzs0RERETUsHhmloiIiKhWFAApB3orhhSemSUiIiKihsWDWSIiIiJqWLzMgIiIiKiWGACrK56ZJSIiIqKGxTOzRHRCe+ONNwZ6E4hoqOGZ2brimVkiIiIialg8mCUiIiKihsXLDIiIiIhqRgGSlxnUE8/MEhEREVHD4sEsERERETUsXmZAREREVCsKUIp1tvXEM7NERERE1LB4ZpaIiIiolhgAqyuemSUiIiKihsWDWSIiIiJqWLzMgIiIiKiWWGdbVzwzS0REREQNiwezRERERNSweJkBERERUa0oBUjeZ7aeeGaWiIiIiBoWz8wSERER1RIDYHXFM7NERERE1LB4MEtEREREDYuXGRARERHVkGIArK54ZpaIiIiIGhbPzBIRERHVjGIArM54ZpaIiIiIGhYPZomIiIioYfEyAyIiIqJaUQAkLzOoJ56ZJSIiIqKGxYNZIiIiImpYvMyAiIiIqJYU7zNbTzwzS0REREQNi2dmiYiIiGpEAVAMgNUVz8wSERERUcPiwSwRERERNSxeZkBERERUK0oxAFZnPDNLRERERA2LB7NERERE1LB4mQERERFRDfFuBvXFM7NEREREQ9SGDRswefJkDB8+HG1tbdi5c+dAb1Kf8WCWiIiIqJaUHPhHFR599FEsXboUK1euxP79+9He3o7Zs2fjzTff7OdPUG0JpRTPhRMRERHVwCfEpzBDfHGgNwPvnvc69u7dW3GeGTNmYOrUqdiyZYsbd/bZZ+OKK67AmjVr+nsTa4bXzBIRERHVSPtl09HV9fpAbwY++nkbmw4AAAE9SURBVOgjTJs2zb1euHAhFi5c6F53d3dj3759uPXWW4PlZs2ahV27dtVtO2uBB7NERERENfLUU08N9CZUpaurC0mSoLW1NRjf2tqKp59+eoC26tjwmlkiIiKiIUoIEbxWSuXGDXY8mCUiIiIaYkaPHo04jnHo0KFg/OHDh3Nnawc7HswSERERDTEtLS1oa2tDR0dHML6jowPt7e0DtFXHhtfMEhEREQ1By5Ytw7x58zB9+nRceOGF2LRpEw4ePIhFixYN9Kb1CQ9miYiIiIagq666Cu+88w5Wr16Nzs5OTJkyBdu3b8ekSZMGetP6hPeZJSIiIqKGxWtmiYiIiKhh8WCWiIiIiBoWD2aJiIiIqGHxYJaIiIiIGhYPZomIiIioYfFgloiIiIgaFg9miYiIiKhh8WCWiIiIiBrW/w9W4iMaIVsQ6AAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 720x720 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-4, 4, test_timing_with_points)\n", "\n", "w1 = potentials1D.harmonicOscillatorPotential(k=12, x_shift=-2)\n", "w2 = potentials1D.harmonicOscillatorPotential(k=12, x_shift=2)\n", "V = potentials1D.hybridCoupledPotentials(Va=w1, Vb=w2, s=0.1)\n", "\n", "\n", "points=50\n", "lambda_ene = []\n", "for lam, s in zip(np.linspace(0, 0.5, points), np.logspace(0, -3, points)):\n", " V.set_lambda(lam)\n", " V.s=s\n", " lambda_ene.append(V.ene(positions))\n", "for lam, s in zip(np.linspace(0.51, 1, points), np.logspace(-3, 0, points)):\n", " V.set_lambda(lam)\n", " V.s=s\n", " lambda_ene.append(V.ene(positions))\n", "\n", "print(\"\\nVisualization\")\n", "fig, ax = plt.subplots(ncols=1, figsize=[10,10])\n", "mapping = ax.imshow(lambda_ene, extent=[0,100, 0,100], vmin=0, vmax=30)\n", "opt_labels = np.array(ax.get_yticks())/100\n", "ax.set_yticklabels(opt_labels)\n", "opt_labels = np.round(((np.array(ax.get_yticks())/100)*8)-4,2)\n", "ax.set_xticklabels(opt_labels)\n", "\n", "ax.set_ylabel(\"lambda\")\n", "ax.set_xlabel(\"r\")\n", "cm = plt.colorbar(mapping)\n", "cm.set_label(\"V\")\n", "fig.tight_layout()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Special Potentials\n", "\n", "The Gerhard Koenig speciality corner. Here we have some special potential for very special usecases." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### dummy Potential\n", "\n", "This potential returns always the same value independt on its position.\n", "\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 0 ns\n", "\n", "Visualization\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "..\\ensembler\\visualisation\\plotPotentials.py:84: UserWarning: Attempting to set identical bottom == top == 0 results in singular transformations; automatically expanding.\n", " ax.set_ylim(min(y_range), max(y_range)) if (y_range != None) else ax.set_ylim(min(energies), max(energies))\n", "..\\ensembler\\visualisation\\plotPotentials.py:111: UserWarning: Attempting to set identical bottom == top == 0.0 results in singular transformations; automatically expanding.\n", " ax.set_ylim(min(y_range), max(y_range)) if (y_range != None) else ax.set_ylim(min(energies), max(energies))\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(1,100, test_timing_with_points)\n", "\n", "V = potentials1D.dummyPotential()\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, axes = vis.plot_potential(V, positions=positions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Flatwell Potential\n", "\n", "A potential return dependent on a position a value in a binary fashion\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "calculate 1000 positions: \n", "Wall time: 2.55 ms\n", "\n", "Visualization\n" ] }, { "data": { "image/png": "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\n", "text/plain": [ "<Figure size 864x504 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "positions = np.linspace(-10,10, test_timing_with_points)\n", "\n", "V = potentials1D.flatwellPotential(y_min=0)\n", "\n", "print(\"calculate \"+str(len(positions))+\" positions: \")\n", "%time V.ene(positions)\n", "\n", "print(\"\\nVisualization\")\n", "fig, _ = vis.plot_potential(V, positions=positions, y_range=[-5,5])" ] } ], "metadata": { "file_extension": ".py", "kernelspec": { "display_name": "Python 3.7.7 64-bit ('EnsemblerDev': conda)", "language": "python", "name": "python37764bitensemblerdevcondaa4593ef55eeb4c19ab962e621795cac3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.7" }, "mimetype": "text/x-python", "name": "python", "npconvert_exporter": "python", "pygments_lexer": "ipython3", "version": 3 }, "nbformat": 4, "nbformat_minor": 2 }