diff --git a/Notebooks/friedrich/free_p1.ipynb b/Notebooks/friedrich/free_p1.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..63e57065ccf0782e21a18a6a76f9f675c478fd7a --- /dev/null +++ b/Notebooks/friedrich/free_p1.ipynb @@ -0,0 +1,144 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true, + "ExecuteTime": { + "end_time": "2023-10-27T20:14:13.177295Z", + "start_time": "2023-10-27T20:14:12.730428Z" + } + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "outputs": [], + "source": [ + "class Model:\n", + "\n", + " def __init__(self, theta=None):\n", + " if theta is None:\n", + " theta = [0.12, 1.6, 3.2, 1.5, -1.1, 3.2, 1.4, 0.54, -3.3, 3.8,\n", + " 2.6, -4.5, -3.4, -2.0, -3.3, 1.7, 3.2, 7.2, -6.0, -1.8]\n", + " self.theta = theta\n", + "\n", + " def forward(self, x):\n", + " a = 1/(1+np.exp(-(self.theta[0]*x[0]+self.theta[1]*x[1]+self.theta[2])))\n", + " b = 1/(1+np.exp(-(self.theta[3]*x[0]+self.theta[4]*x[1]+self.theta[5])))\n", + " c = 1/(1+np.exp(-(self.theta[6]*x[0]+self.theta[7]*x[1]+self.theta[8])))\n", + " d = 1/(1+np.exp(-(self.theta[9]*a+self.theta[10]*b+self.theta[11]*c+self.theta[12])))\n", + " e = 1/(1+np.exp(-(self.theta[13]*a+self.theta[14]*b+self.theta[15]*c+self.theta[16])))\n", + " hat_y = np.tanh(self.theta[17]*d+self.theta[18]*e+self.theta[19])\n", + " return hat_y\n", + "\n", + " def predict_list(self, x):\n", + " return np.asarray([self.forward(q) for q in x])\n", + "\n", + " def predict_mgrid(self, x, y):\n", + " return np.asarray([self.predict_list(list(zip(i, j))) for i, j in zip(x, y)])" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-10-27T20:19:12.157699Z", + "start_time": "2023-10-27T20:19:12.152231Z" + } + } + }, + { + "cell_type": "code", + "execution_count": 14, + "outputs": [ + { + "data": { + "text/plain": "<Figure size 640x480 with 1 Axes>", + "image/png": 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d3SjiE8Vw2Vv39PRgcHAQlZWVKCwsDPrFklJw4HA4YDAYYLfbsXPnTvoOlL1fqeKjUqnobvoL3a8H8L3QMsu6SeR67tw5usAhPT09bGXdwYh03xUTPvuI/v5+2vZDiH0En8srKetWJnZHD4r4RCFc9tY2mw0GgwEejwf19fVITEwUtC+xBQczMzNobm5GZmYmamtreRfNpYoPaX4dHR0FRVEXnEWCEIjo6vV6FBUVISsrix4AOjU1hZ6eHuh0Op/PRajPUiispPiwIfYRZB2ourraxz7i/PnzUKlUQe0jFJfX6EURnyiDK802OTmJ1tZW5OXlobKyUtTCtdDIx+v1ore3F4ODg6iqqkJBQUHAL6UU8bFarWhqagIA7Ny5E1qtlr7oEouE2NhYepFeavlyoGOONsgFkTkAlF3W3dnZSX8u5CccA1ujSXwI5OaLqw+LqymYOaEiPj4+qBgpLq8rhyI+UQTb3trr9aK9vR0TExPYuHEjXTUkBiGRj91uh8FgEDV4VKz4TE5OoqWlBfn5+aisrKQ9ZJizxcg4F2b5MrM0NzU1NeSKsWhap+I7Fq6ybvK5sCcLpKenCyrrFno80Tb6hu+YuLye2PYRWq3WR4zi4uIUl9coQhGfKIDdu6NWq2E2m2EwGKDVarFr1y7J6ahgBQfT09Nobm5Gdna2qMGjYiKq7u5uDA8PY+PGjcjLy6MfZ8Me5+J0OulF+s7OTjidTp9BoCTnv5oRcmHj+lyIGPX29sJmswXsnxFKNIqP0N4jsfYRzIndbDFyOByKy2sEUMRnhSFFBcePH8emTZsQHx+P4eFhdHV1oaSkBGvXrg3pgsAnEl6vFz09PRgaGkJ1dTUKCgpE71dIRNXU1AS3242GhgYkJCSIeg29Xk/3iZCKMeLSOTw8DIqifC4m4R4EGi2wJwswy7pJ/wyzrDs5OVnQORStaTcpQso3oWJubo5O8TLHJbHX1dgur3wFDIqxnnQU8Vkh2L07FosFTqcTPT09mJubQ21tLW2SFgpcaTdSvOB2u0UVLwTbLxNmRFVdXe13ARGb/mJWjJFqKLPZDKPRiNnZWfT19fnc2aanp/st0kfbRUKuiz1XWTcRo5GREXi9XqSkpNDraHxl3aFOOAgHXq9XlnU/diqTuODOzc35rKsx03Rc9hGkEGhsbAyJiYnIyMhQXF4loojPCsBVVKBSqdDU1ISUlBRZHUBJhEIudFNTU2hpaUFOTg6qqqokr6HwRT4URdGOqVVVVSgsLAz1LfC+PlmAJjl/skg/NjZGFy+QC260eAyFGy6RtlgsPqOAVCqVzx1/fHw8/e8ZbRdOsv4pN2wXXLH2EbOzs9BqtZzGeuw0nQI3ivhEGHbvDgD09/fD5XKhuLgYVVVVsl4AyGt4PB709vZieHgYGzZsQH5+fkj75RIf0h/kcDhkc0wVCtP+YM2aNfTFxGg00sULCQkJ8Hg8MBqNktdF5CQSxQ+kZDkxMRFFRUV0lZjRaPRZmE9LS4PVao26UvdIrUPx2UdwFXmkpqbC7XbTIkOOU3F5FYciPhGCq3fH4XCgpaUFNpsNsbGxyM7Olv3Ok5zsp06dAkVRktZeuGCLD3MMT6D+oEjBvpg4HA5MTEygr6/PZ12EREYrVbwQ6UiDWSVGFuZJxDg7O4vBwUFMTk76uZeuFCuVCgxmH2GxWNDX14eFhQWfQbKKy6twFPGJAFxptpmZGbS0tCAjIwM1NTU4efJkWGalTU9PAwCSkpI4116kwkznkWnXXGN4ooWYmBhkZmbi/PnzaGho8CleGBoa8ileSE9Pp1NR4SQayr6ZEePi4iJduEHGALW3t9N3/OQiK2fvVTDClXYTC7vI49ixY8jJyYHL5UJPTw9nxSGXGCkur8so4hNm2L07FEWhq6sLw8PDqK6uRn5+Pl1FI6f4eL1edHV1YXR0FACwbt06WdNMpIru7NmzsFgs9LTraIaICde6COkRmZmZ8SleIJFRuCYMRJNQUxTltxbCTD/19fX5efTI0XsViGgRHzYURSEzM5M+54XaRygur8so4hMmmL07JG9Nqsy8Xq9flZmc4sOcJFBfX48jR47IHlWZzWb6whBsuCkX0fSlUqlUPg2LHo8HCwsLMBqNdCVUXFxcyMZx0Q5XwQE7/cR1kWVOok5JSZFVLKJVfJhrtkBo9hFAcJdXs9mMpKSkFU2Byo0iPmHA6/XC7Xb7pNnGx8fR3t6OgoICrF+/3u8LJZf4TExMoLW11ed15JxATVEUBgcH0d3dDQCoqamJKiEJhpDPQaPR+E1eYBvHJSUl0VFRKE2d0fTZCVnc57rIks+G2CIwy5VDHRwbjY2vQPD+Iyn2EYHEaM+ePbj77rtxxx13RODdRQZFfGSEecIw7a07OjowNTWFzZs30zljNqGKj8fjQWdnJ8bHx7Fp0ybaV0aOfRNcLhdaW1sxPz+PLVu2oLGxMeR9rgbYxnHk7t9oNKKjowMul8tv8oKQC240rPkwkSKG5CLLtEUgn83g4CAA+IiR2EbgaOw9It9zoaLIZx9BhqQS+wi23xNTjKxWqyyFQtGEIj4ywWVvvbi4CIPBAL1ej127dgVcNwhFICwWC5qamugUWHx8vM/f5Yh85ufn0dTUhISEBDQ0NND7k3r3Hm0XFDEw7/6ZFxKTyYShoSEA8LFHiETxghyEeqFn2iIQ6wiylkYagZlRpRDriGhMu5HvaSg9cuzPifRizc3N0QUwqampGB0dRXJyMiwWi+hm8Pfeew8/+9nPcPbsWYyPj+PAgQPYt29fwOccPnwY9913H9ra2pCfn49vfvOb+OIXv+izzUsvvYTvfve76OvrQ3l5OX784x/jpptuEvsxKOIjB8zeHZKrHRoaQnd3N8rKylBeXh70Sy1VfMbGxtDW1oaioiKsW7eOdwijVGGjKIoe97NmzRqsWbMGKpWKNu+Ktrv3QIRDAPguuOw+GiJE6enpPnn7aBIludOA7LU09ry17u5uxMTEBCzrjkbxYabT5YDdi0Wmd5hMJjz99NN47rnn4PV68ZOf/ARdXV248sorsWnTpqCvb7FYsGXLFnzuc5/DzTffHPQ4zp8/j+uvvx533XUXnnnmGbz//vu45557kJWVRT//+PHj2L9/P374wx/ipptuwoEDB3Drrbfi6NGj2Llzp7j3Ta2mq0eUwdW7Q1JTCwsL2Lx5Mz3OIxgtLS2Ii4vD2rVrBW1P0nmTk5PYtGkTbzoPAN59911s3bpVdJe/2+1GW1sbZmdnsWXLFp9xPy6XC++88w52794tqaeHVAFG8sJis9lw4sQJXHnllRF7TaY9gslkwsLCAt05Pzk5iQ0bNsgyRkkOTp48ifLycro3KtyQz4YMj11cXKQ/G/Jz4sQJbNmyhdPQcKWw2+04duwYrrzyyojcPDgcDlRVVeG2225DV1cXjhw5gn379uGZZ54RvA+VShU08vn3f/93vPrqq+jo6KAf++IXvwiDwYDjx48DAPbv34+FhQX8/e9/p7e59tprkZaWhueff17U+1IiH4lw9e6YTCY0NzcjOTkZDQ0NokbkiIlOzGYzmpqaoNVq0dDQELQrXayhHAAsLi6iqakJMTEx2LVrl98dKfnSSb13WVxchNVqRVpaWkQnDUT6Xos9U+z9gh3wAJgBoAHQ+cF2Xre047p08rQchwkg8gUQ7M+GWdZNCjsAYGRkBNnZ2bJZR4QKqXSL1Gel0+lgMpnw5S9/GRUVFXC5XDCZTLK/zvHjx/GRj3zE57FrrrkGTz75JFwuF3Q6HY4fP46vf/3rfts88sgjol9v5f8lVyFerxdOp9MnJdDX14fz589j3bp1KC4uFn1iChWf0dFRtLe3o7i4GBUVFYIiB7FW2uQ1SktLsXbtWs73wuxXEAOzWo7MxmKuj/ANvVwtvJe+HQCg0vm+B8oV+HMSuj17uyM5l9D/H6oQrXT1HddUgffffx8ejwc9PT2w2+0BK8QihdRJ21Kx2+3weDz0uCqdThcw0yGViYkJn0IlAMjJyYHb7cbMzAzy8vJ4t5mYmBD9eor4iICk2Ug1GxmRQ4zYdu7cKTk9oFar6SiKC7fbTVfNbd26lf6CCt23EJFgpvKCvQa5SIkRNbfbjZaWFszPz2Pbtm2Ii4uDw+GA0WikZ7CRjntyRxwJ+2ixvJe+HZo4f9H32JY/i2Biw0bo9uztiBiptSq8X7ADABCTo8f2c0dFvT6w8uLDRqfTgaIorF27FnFxcXS5stFopMuV2RVikUjjsnt8wo3FYgEASdPnxcL+9yfXDebjXNtIOW8U8REIV5ptenoaLS0too3YuCDrRVyQqjmdThe0ao5v38FEglTMaTQaQak8gtDIh6TxYmNj0dDQQL9fslhPhl6S5k7iuUKaO0lkFMpnLPXCSi7qTHFh/n804HVTUGuX3p9j0on3C3Zg1+gpUfuItp4acm6RY2L3zrCrDEmFGDlfwuXvFOnIx2KxQK1Wh33oa25url8EMzU1Ba1WS69L8m3DjoaEoIiPAEjH+8mTJ3HFFVeAoih0dnZiZGRElgnRALdAUBSF0dFRdHR0oLS0FOXl5ZIuDsFKrcfHx9HW1obCwkLeijmufQot4SYVecw0HilJZ8I0AAN8mzv7+vro+VkkKhJqkiYGZhqLidhIJhKwU3DMdSMSCWmTtdjZcUzQ/qIt8iHfB65/Y64qQ1IhRtaMmHPrhJR1C2UlIp9IGCXW19fjtdde83nsrbfewvbt2+mJHvX19Th48KDPus9bb72FhoYG0a+niE8AmL07KpUKDocDZrMZLS0tAIBdu3b59dRIhS0+zEqzmpqakCqQ+CIfr9eLzs5OjI2N+TWmCiGY+JD9j4+PY8uWLaLz1OzmTrvdTldGtbS0wOv1+qwXCf2CcgkMl7iodKqoFB0COTa2CJEIiHCyqkGQAEWb+LAjn0Aw/Z2Ki4vh9Xrpkndio63T6XidS8UQ6cjHbDZLEh+z2Yze3l769/Pnz6OpqQnp6ekoLi7GAw88gNHRUfzxj38EsFTZ9qtf/Qr33Xcf7rrrLhw/fhxPPvmkTxXb1772NVx22WV4+OGHsXfvXrzyyit4++23cfSo+DSvIj48MF1GAdDpnhMnTgTsqZEKUyAWFhZ8UlShrntwFRxYrVYYDAbaZkGKiAYSH5vNhqamJlAUhfr6ellEOjY2Fvn5+XSXOLnTZTqZsvtpTqyth2txKcqiXBS0AMgRk4s2n8BEs/AwYYoQW3jcC25ok7U4WdWAHe3vB7yARZv4kHNWyjGp1WqkpKQgJSXFx0bbZDL5OJcyxUhodepKRT5iOXPmjE9bwX333QcAuP322/HUU09hfHycbooGgLKyMrzxxhv4+te/jl//+tfIz8/Ho48+6tMj1NDQgBdeeAHf+c538N3vfhfl5eV48cUXRff4AIr4+MG2tyaFAO3t7QAgW5qNjVqthtvtxtDQELq6ugQ3pwrdN1MkiJtpXl4e1q9fL7ub6czMDAwGQ0C31FDfF/tOl6RGW8qvxgzZhhERcAnJahEXIZD3yk69AUsCBACnqnch/s//Q4szOw0VbaNsAqXdxMIu6yZmg0yzuMTERJ9p3Xzriyux5iNlSgZZIuDjqaee8nvs8ssvx7lz5wLu95ZbbsEtt9wi6li4UMSHAVdRwcLCAgwGAx19kPWIcLz24uIiLBYLamtrZW08JJGP1+tFT08PhoaGsHHjRuTl5cmyXwJFUXTJeXV1NQoKCkI9dEFwFQQAF5a4SMHrpqCJ00Cfvvw1t976L3A9+yv09PRAr9f7FHNEY+QTrgiDbTbINIvr7e3l9OchgrMSkU8kKt0ijSI+H8Blbz04OIienh56rMzbb78dFsO3+fl59Pb20ikwucemq9VqOJ1OnDp1Cm6328/OIZT9kjsrp9OJ5uZmWK3WkErOgyF0veZig/kZqHQqaOKW78ydRrePAMV/+9+x5W//oKcLENM4ABgYGEBWVlbIlYVyEMnROmyzOLvdThcvMJ1v09LSYLfbIyo+ZM3nQuOiFx++ETktLS1YXFzE9u3b6bE0wXpxpLw2mQGXnZ0Ns9kcFr8Op9OJgYEB5ObmhsXNdH5+Ho2NjUhOTkZ9fb0grxuhd9hcUU2wdNrFDOk/olxeqHTLF0giQJo4NeYHLH5pKKfTiaNHj9LRK7OyMBw+PUJYydLv2NhY5OXl+VgiEDGamZmhsyQkMgpnc7TValUinwsNrjSb0WhEc3MzUlNTsWvXLp8LqUajkS3yITPg5ubmsG3bNtoSQU4oikJvby/m5uaQlZWFTZs2ybp/AJicnMTw8DDWrl2L0tLSkL+ARGwIXP00iuBww258pVwfLNh/IEJEgNIq/KNSEuVUVFRAr9fTd/7Mhk5mD00kJlFEyxoU2/m2q6uLnjhAyrpVKpVP8YKck8ylFhxEOxet+HDZW/f29mJgYADr169HUVGR38kjly8O055g165d0Ov1mJ2dlTWl53A40NzcDJvNhuzsbNnvnMjnNzIygm3btgkeoMqE+fkq6bTQUOlUdLEBu+KNGQU5jW4swIzuPddi3av/WN6G1cnOvvO3Wq10mfvAwAB9sSWRkVw9NEyicaI1sHRcsbGxKCoqopujiXUEc5I5u8dIKmazWYl8LgTYvjtqtRp2ux0GgwFutxt1dXX0DCU2Go0mpLQbmWvW09PjFynIaaNtNBphMBiQlpaGmpoadHV1ySpsFosFjY2NoCgKGzZskCQ8AHBq3S44jR/414uchaawBPtzA+AjQjE5y+XDTuPSOR+f6V+6zzVGhX4NRkMn82JLemi6u7uh1+tpIeKyRpBCNIsP87iYZd2lpaV05aXJZKIndcTExPh8PmKGDlssFtET6VcDF5X4sHt3VCoVpqam0NraGrAsmBCKQDidTtpqgbmOJMe+CRRF4fz58+jr6/OJ3qRMteaD2HQXFhZienpa0PoO4d2srT6/hzILTWEJdqEBgRQcMIsN9OlaWngWRsy++wkgPmy4emhIpRgpXkhISKAjI6nTqKNt3A/B4/EEvE5w2bCTHqOhoSG0tbXRnw8p6w70PbLZbCgsLJT9faw0F4X4cNlbM7v7N27cSHvSB0Jq5GMymWAwGJCUlMRrtRDqepLT6URLSwvMZjN27NiBlJQU+m9yFEp4vV50d3djZGSE/ryMRqMgUQskOgryQYRIm+z7tWZXuxHO1H6IHkAqRnzYaDQaZGRk0O0BZOS/yWTinEYttHghWtZ82Ijt8yGz0bg+n76+PlitVp+y7tTUVJ/9K9VuqxR2UYFKpfIboim0+17sRZyiKAwMDKC3txcVFRUoKSnh/TKFEvnMzc2hqamJ9hFi30WJtVRgQ9KSLpcL9fX19BdByH4V4YkczEo3AJzVbtYZO+IzY1GwPQ+jZ8bpv4cyTYANGflPypaZlWLM4oVgNhrRmnYLtc+H/fk4HA768+nq6oLD4UBKSgpMJhPcbrfkPp/HH38cP/vZzzA+Po4NGzbgkUcewaWXXsq57R133IGnn37a7/Hq6mq0tbUBWGpK/dznPue3jc1mkzSF5YIWH67enZGREXR2dqKkpARr164VdRKJiU6Ykcgll1wStDmVpMbENPoFWkPi2rcUjEYjmpqakJmZ6Te5O9B4HbboAIrwhBOutR++ajcAMA2YULB9uck4lMgnGGQaNRmLZLFY6Eq6QANAo1V85J5wEBMTg9zcXOTm5oKiKLrS8O2338avf/1rWCwWTE1NYXFxEVdddRVqamqCvv6LL76Ie++9F48//jh27dqF//mf/8F1111He4Gx+eUvf4n//M//pH93u93YsmULPv7xj/tsl5ycjK6uLp/HpI7/uiDFh6t3hwzqNBqNkgd1Co18yIJ/amoqZyTCt29A+IlNSrXn5+c515CYSIl8mFEbX/Ufn/hwCY/XTSlFBWGCPVonWLUbYKfXfkjVW6SmG6hUKiQmJiIxMZG3eCEmJoaeuBCNhHPCgUqlosX6m9/8Jr7xjW/gsssuw/bt23H8+HE89NBD2Lp1Kw4dOhRwPz//+c9x55134gtf+AIA4JFHHsGbb76JJ554Ag899JDf9mQNj/DXv/4VJpPJL9JRqVSCliiEcMGJD1fvzvz8PAwGA13aLLUSJ1jkQ1EU+vv70d/fL9rRVIz4kMGj8fHxguy6xUY+TGFjrx8x4RIftvDw2UMrwiMPwardCHF5etjGnfTv1hk70kqXn7NSo3UCFS9MTk7C4XDg5MmTdIouGqy0IznbTaVSwWw2Y//+/fjIRz4Cj8eDycnJgM9xOp04e/Ys/uM//sPn8Y985CM4dkyYvcaTTz6J3bt3o6SkxOdxs9mMkpISeDwebN26FT/84Q9RU1Mj7k19wAUlPuzeHQB09ZccTZCBIh9mX02gC3agfQOBnUEpiqLThmTkj5D3IybyWVxcRGNjoyBhY4vPu1lbfca6eGwenwsguSgqwiMffNVu+vSlaFufuvwVz9i41Fy6OGYFsJR6SytdipijpbKMWbyg1WqxuLiInJwcGI1Gv+KFcHk6BWMlZ7tpNJqgg41nZmbg8Xgk212Pj4/j73//O5577jmfxysrK/HUU09h06ZNWFhYwC9/+Uvs2rULBoMBFRUVIt/VBSI+FEXB4XBgYGAAhYWF0Gq1PrPGhKy5CIGv2m12dhbNzc1IS0vD1q1bRZUfE4LZUjP9fcQOHhUa+YyOjqK9vV3wRG2m+DRedqmP8HAeh1bll35ThEg+KBcFbbLWZ9KBc85NC5B11o74jFgk5cdjccyK9DUZoD4436JtqCiw9F3QarW8xQtMT6dIjLlhHlekp1pLKTiQanf91FNPITU1Ffv27fN5vK6uDnV1dfTvu3btQm1tLR577DE8+uijoo9v1YuP1+ulm0a7urqQn59Pi0F6ejp27dolW5hOBnQSmFOc+dZFhEL6cbjEx2w2o7GxEXq9XpK/T7BKOjLaZ2JiAlu3bqXN24QcM0VRaLzsUiwOWH33afMXab4UnII8kBJrj83LK0CEwh3LE8e791yL3Gf+HJXiw44wuIoXyOQFdvECsY2QE7KeHKnIh7xHMaXWmZmZ0Gg0kuyuKYrC//7v/+Izn/mMoHT+JZdcgp6eHsHHxmTVig+7d4fcifT29mJsbAxVVVUoKCiQ9QvFXPNxOBwwGAyw2+2yTXHmEgkSjUipziMESrtZrVY0NTVBpVKhoaFB1JdVrVZj/KZb4Zh2+b6eTgWtTkv7yADcwqNEPfLAte5DKguJCBEBItEPwTRggjZWG7WRT6DznVm8QNxLyWSBiYkJn+IFsmYkZrIAFyTSj1TkY7VaQVEU79QVLvR6PbZt24aDBw/ipptuoh8/ePAg9u7dG/C5hw8fRm9vL+68886gr0NRFJqamiTPjFyV4sMekaNSqWCz2QAspcDksgxgQ9Z8ZmZm0NzcjIyMDNTW1soaWRGR8Hg86OjowOTkpKhohG+/XGm36elpNDc3Iy8vD5WVlaKFTaVSQZ+gg2PahbjcpS+1fXZZiHzuxDkykW6X2/9BBVEwhYdEm77rbl6/gaNcRGNDJ/OmUghqtRqpqalITU1FWVkZPVnAaDSKNozjg1nIFAksFgsAiL6e3XffffjMZz6D7du3o76+Hr/97W8xNDSEL37xiwDgZ6FNePLJJ7Fz505s3LjRb5/f//73UVdXh4qKCiwsLODRRx9FU1MTfv3rX0t6b6tOfJi9OyRVNT4+jra2NqjVamzatClsQ/jUajW9IB+OyIqID2mCVavVoqMRLrhM38gQ1VCcWamvfgVuu5sWHi74ensoF/dFUekFEg5XxAMsiRCXADHTb/MjJqQULpfnR2vkE8oxsScLOJ1Oer2ou7sbDocDycnJdFQkpHhBTndVIVgsS/YXYit09+/fj9nZWfzgBz/A+Pg4Nm7ciDfeeIOuXmNbaANLA49feukl/PKXv+Tc59zcHO6++25MTEwgJSUFNTU1eO+997Bjxw7O7YOxasSHq3fH6/WitbUVk5OT2LRpEzo7O8PWG2C32zE4OAiHw4H6+npRYbBQ1Go1ZmZmMDg4iMLCQqxbt06Wk5xt+mYwGGCz2QIOUQ1G42XcndJCIM2PTEhaTukFEgaf8BD06Vp6kGjK2gSYR5cyA2mlqTANzPmk3tx2d9SKj5wXeb1ej5ycHHrdgxQvGI1GjIyM+BQvpKenIyEhwe8zYd70RgKy3iPl9e655x7cc889nH/jstBOSUmB1Wr13/gDfvGLX+AXv/iF6OPgY1WID1fvjtlshsFggE6no6ODnp4eWc3eCCQ9lZiYCI1GExbhIRHdwMAANm/eHHRhUAwk8iFjeFJSUtDQ0CB7vwQz5QbwefHwCw8Xihj5E0h44gqW75D16VrEpS/9nlgQh4Qs/0Xrihu2ouf1JvT19cHlcmFxcTEiFWNCCPeEA6HFC0zbiEhXul2odgrAKhAfr9cLp9PpcyIODw+jq6sLpaWlKC8vpx8P1fKA67V7enowNDSE6upq6PV6v9EScmC1WmEwGODxeFBZWSmr8ABL4uN0OnH69OmgM+bE4LYHXrNJKPRNFbisy/82jkkne3NBKGXa3L09pK+HvcZjMzpoAWJinbUDMAEA0krTsP7MARzdcC3OnTvHedFdCSI5XoeveMFoNPrYIiQmJoKiKDidzpCLF4RgtVovyKGiQBSLD0mzkWo2MiKHuH9y9brIKT42m432+CEFDHIbvgFL5Y8tLS30yAopPUKBcLvdOH/+PFwuF3bu3CmLLwhXyo0d9cRmBH4fxGeGHR0Rfx8hkAvvxSpCwHJvD5NgRQZrrliL/kO9fo/Hx8dj27Ztfl40sbGxtOV2sPH/crKSs92YxQvA0vdobm4O4+Pj8Hq9OHr0KF28QD6XcEREFotFVlfUaCIqxYcrzTY3N0fbEhD3TzZyiQ8RBLbHj5zixoyqyKL/qVOnZI3czGYzXbig1+vDakjFtma2GW2S9qNP1/mJiWuRP8K6mIUH4O/tYf5Ooh/LtIVOvTHXfAhqtZqzYmxubg5GoxF9fX2w2WxISkqioyKh9ghSiKZ1KK1WS8+DtFqtqKmpodeLmJOoiRglJSXJ8rkoabcIwox2yIlH5qUFSxmFKg7Es2Z4eJizCkwut1G2RQE5ueR0M52YmEBLSwuKi4uRm5uLM2fOyLJfqTBTbgTuNSF/MWFPTiAlxRez8Gji1D6WCUBgAWJiGphB7qZCTLSM0I9NNfVCVef/vSIXXXLhJROXjUYjbY/AbOrkWqSXSjROtSZrPlzFC2S9iFm8QERa6ucitsF0NRE14sPVu0PmpdntdkHz0kIRH7Lu4vV60dDQwPkPLkfkQ3qEuCwK5BAfr9eLrq4ujI6O0oULi4uLsokaSbkx13vya/JhGjTJsn8h0GL0wVIEs5n1YiCQbw+7uZQIEN/az/yICWuu3oyZtkFBF8fY2Fjk5eUhLy/Pb5G+v78fWq2WFqL09PSQ7LSjUXz4phvExcWhoKAABQUFoCgKZrMZJpMJs7Oz6Ovroz8Xpm2EEBTxCTNse2u1Wk1XmGVlZQlu5JQqDpOTk2hpaaGbLflyt0QcpKQDmL01VVVVnLa4odpd2+12NDU1wePx+JjkyWWjPTY2FvI+CEKjHiEjedhrHhebGDEtEwh8UQ8z9cZG7DnNtUhPmjpHR0fR0dERkp12NIqPkGo3lUqFpKQkJCUl8RYvxMbG+hR18K2jSZ3rthpYUfFhjsghJxpFUejs7MTw8DCqq6tRUFAQfEcfIFZ8mFHChg0bkJeXF3B7ctKJLbdkTrwO1FsTit317OwsDAYDsrKyUF1d7XN8oTqZMj+nDCxVR013TgPgjnrY6z1cKbdwcqGKUaAiAq4oKGfrsmfVTJfRL/ohqbfZjuGl54aYLmPOVQP47bRJVBRsXSQaxUfKXDe+4gVS0t3a2orExEQf2wjy/VXEJwxwFRWQ1BcA3tRXIDQajc/gz0CQmWbktYRYaZOTzuPxCBYfYiyXlpaGmpqagHd+UtJuFEXRthGVlZUoLCz0u4iQ45YSsTkcDjQ1NcHtdqOhoQFTpctFC/k10iYjcCE16gm8T98UFLA6JygIGY9DSF0n/UIl9+I+n502s6mTeffPruqKFpsHJnL0+bDX0ZxOJ526JMULRqMRp0+fhtFolDSBRIyF9qFDh3DllVf6Pd7R0YHKykr695deegnf/e530dfXh/Lycvz4xz/2mR0nlhURH1InT+4iVCoVxsbG0NbWhsLCQqxfv17SSSc08pmYmEBrayvy8/NFzTRjRj7BYIqCUGM5seLjcrnQ3NwMs9kccE1MrEsqwWQyoampCRkZGdiwYQPUrzwGANDF6UISnpUUAPaFPFrESKVT8RRbBD43SVOpbdSBxLI4uKwu6OKXUjjWWSviM5ZuqsouL8VEyziApdQbAKSV+rr5hruyjN3UaTabYTQaMT09jd7eXuh0OlqI0tPTo3LeXDgmWuv1eh8bbZvNhqNHj6KjowOnTp2C2+1GT08Pdu/ejauuugrV1dUBPxexFtqErq4unwHJzHmSx48fx/79+/HDH/4QN910Ew4cOIBbb70VR48exc6dOyW9bxW1Ql61JOrxeDxob2/H9PQ0Nm3aRN8lSWFoaAjT09PYtm0b5989Hg+6urowNjaGjRs3SrKDffPNN/GhD30oYFTmdDrR0tICs9mMrVu3CjaW6+zshNfrRXV1ddBtFxYW0NjYiMTERGzatClgw5vL5cI777yDq666SlCPBkVRGBoaQnd3t49wDnx2D4Al8WEiJO1WXL+8xuVYtPu9ptPiH7F6PohcZprnAADpVb7pSmPHIv974JikIAQhYiRnoyvXtAKyT6HCAwAa/fK2RHwA0OKTlLt0USEClJCVgLTSTKSsL8XEiTba1yfvt3+R8jZCxuPx0OtFRqMRZrMZAJCbm4ucnJyw9dGIhdgHSDFPk8InPvEJVFRUoKCgAO+88w5GR0fR0tIS8Dk7d+5EbW0tnnjiCfqxqqoq7Nu3j9NCm0Q+JpOJ1/ds//79WFhYwN///nf6sWuvvRZpaWl4/vnnJb23FUu7qVQqLC4uoqmpCbGxsdi1a5donxo2gSIf9rBOIWk2vtcIFJ2QETbJycloaGgQ1ZBHGmmDMTIygo6ODsFupsy0WzA8Hg9tWrd9+3bRvUFs4Sm7ogJ2k1nUPoBl4QGAzM2pAACvy/ffNr0qyWc7AJjvtUgWHmD5gq/SqTnXithiEcr4H74xOSqdyscBlgum8ACAx+mlBYgZ/bBZv2cbul496/d45oYSzLQNCjnssKDRaOi1IGDpBu7o0aO015TT6URKSorPetFKREUejydiTbbA0vJAZWUlvvjFL+Lf/u3fgn6HQ7HQrqmpgd1uR3V1Nb7zne/4pOKOHz+Or3/96z7bX3PNNXjkkUfEvSEGKyY+Q0NDaG9vF2UHHQw+8SEpvaKiopCHdfIVBVAUhcHBQfT09Ei27A4mbCRKnJqaQk1NDZ0zFnLMQPB0odVqRWNjI7RaLerr60O6GSi7YunOUIrwhELK2gR4Pctf0IVu8a9PFu2ZhQvuBXfQYZ5LzxUWFQXal1jhCQRJvS1OLCApNxnz5+WrWAwn5AJfUVGBmJgYnz4aMo2ZvV4UCSJdBMEerxPsmiLFQjsvLw+//e1vsW3bNjgcDvzpT3/CVVddhUOHDuGyyy4DsLRUIdWWm48VE5+4uDhJd9aBYIsP0xNny5YtIaX0mK/Bvoi7XC567E8o7ynQmg8RBo1GIzpKJCdsoLsmUtqen58vas2NnXKLS49D7mb/MvJAcKXc5CKZtQAvRYwA/wo6LqdWNnyFDuESHjHRz8jxzoCvs9KQc5WsCcfHxyM+Ph6FhYXwer1YXFyE0WjE5OQkbRpHoqJApcuhIqbYSA4iYaG9fv16rF+/nv69vr4ew8PD+K//+i9afMTuUwgrJj7Z2dmCUkxiYIoPGS2j1Wpl8cQhsCOfhYUFNDU1IS4ujnfsj1D4SqKnpqbQ3NyMgoICycUYfMLGtAIPxduHIFZ45IYZ9XARTIzY/TJ8kEZXtVbFOf6HLSJMIeKr4tMlLX8dhYhbqJgGZuj/J+XW0QI5V7kubmq1GikpKUhJSfEZAcQsXWaPAJJLMCI51Zo08YqZoh+KhTaTuro6PPPMM/Tvubm5Ie+TTVQ0mcoFER9iPV1cXIyKigpZw2QS+VAUhZGREXR2dqKsrAzl5eWy9EkwBcLr9aK3txeDg4PYuHFj0D6kQHAJG6mWs1gsIXn7ENbesB3mYelheCDY6z0A/NZ7pMAUI7FREREYpmi4Ft0BoxdNnAYaxrYE5j7IdlwCpNKoQAUQWK7oh1n1xkVu3QZMnGhD9ta1vNtEGjGmbezSZYfDQZd0t7e3w+12+4y6CcUyIhzVboEQG/mEYqHNpLGx0ed6U19fj4MHD/qs+7z11ltoaGgQvE82F5T4AEsX1M7OzpCtp/lQq9VwuVxoaWnBzMwM53RtqTBTeg6HAwaDgTavC7XRjD3lgDiyJiQkoL6+PmKLqFyVbtFCKqOabr7XImkfJC3GZRnBnlHHFhy+7YkIxRcvpVrFCBATsu6zGgjFMTQmJsandNlqtdJVdGyfnvT0dFEp7Ej7+UixVBBrof3II4+gtLQUGzZsgNPpxDPPPIOXXnoJL730Er3Pr33ta7jsssvw8MMPY+/evXjllVfw9ttv4+jRo5Lf24pWu8nJ4uIiDAYDKIqSNc3GhqIo9PT0ID4+Hg0NDSFX6DEhkQ/pr0lLSxM8WkjovoHlAgwxERspsy64vAZTp1r9/r72hu0hHyNBjogmVFLWLn3h+UQo2NoMsYwgIsQWHiZxuXrYJvjXvTI2p8A25wj4emIprK/0W/fxulxY+WLmJUiPT6jXCZVKhYSEBCQkJKCoqIhz1E1cXJxP8UKg71skIx+v1ytpzUeshbbT6cQ3vvENjI6OIi4uDhs2bMDrr7+O66+/nt6moaEBL7zwAr7zne/gu9/9LsrLy/Hiiy9K7vEBLoDIh6Ioeo5UYWEhBgcHw2byNDY2hoWFBaSnp2Pbtm2yn4QqlQo2mw1nzpwR3JgqZt+kWm58fFzWyFBO4Yk2mL1FgfqK+CAi5F7gXsOJy9XT/w0kQGyCRT8Eoak3gufxB6C5x78XJNKEa7oB16gbMgKIbRmRnp6O5ORkn+OIZORjsSzd+EhJh4ux0P7mN7+Jb37zm0H3ecstt+CWW24RfSx8rGrxcbvdaG9vx8zMDGpqapCWlobBwUHZK1KYVXOpqanIzMyU/YvhdrsxODgIp9OJHTt2yO69o1Kp0NHRAZVKhfr6+oiVpkaSYMUGoUKEaK6He21Im8x9zsWlxwDpwOKANeD+AwlQXGqMX/TDJUBrriyn/1+fFI+B97r99jV/fgwpZUuFJaaBGaSsL/X5e2NjI33xXSlL7UhNN9BqtcjKyqJvxOx2O13S3dLS4meN4Ha7Ixb5WK1L54sy1VpmQj2xSINqTEwMnf4iaxput1u26IfdnNrT0yOr4RuwVJlHyqjJtFs5MZlMsNvtSEtLw7Zt20ISZnbKjRn1SCk2kFpmLXdqTq0J/4UuqXRJ8IkIkaiHCVuAUiuEp1xKLy31f+yydZwCxMVsxzCyNq9BVlYWjEYjBgYGoFaraSEK1SJBDCs1VDQ2Nhb5+fk+I4CY1gherxcDAwPIzs4O++dhsVig0+ki9plHmlUX+TCrzEpLS7F27VpayFQqVdBGTTGQGXDMEmc59w8sr7+UlJQgMzMTzc3Nsu2b2fiq1+tRUlISFSNKxMJV6RYJNDxl11lblm4Opg3LPU4Box4WSaXxAaMgIkBs4QkU/XAJD6Fq/y50vPg+AN+ig4rbb0TP038DsFzxBgCFhYV0Pw1ZH2FaJDAttcN1PkXDRGu2NYLH48Hhw4cRExNDTxkhnweZRi3H+izBbDbLas4Xbawq8XG73WhtbYXJZOKtMpPD8I1pIcCeAReK7QH7NTo7OzE2NkY3wM7Pz8smbG63G21tbTAajdi+fTs6OjpC9vThKzbgI9LTDSIBs3Eza0uajwCJIak03seQjw1XVMRHIOEhVO3fhcG3G/0eTyvNxHzXAFLWlyKjqsjnb8z1kTVr1tAWCUzraJKSkjtFF40TrcnxlJWVISYmxufz6O7ult1Km4jPhcqqSbsxmzkbGhp4Q1GNRhNS86rNZkNTUxNdNcdeG9FoNHC5XJL3H+g15LLRtlgsaGxshE6noz8ruQzlmGRsLA++kUikptPCvd7DB4mCTOcXZN1vTBK3+LCjnzVXVsDjkJa6tHX3itqeaZFApi+TEmZmio5cfEOpBI3WidbAsghxWUaQz2N4eKlplynOcXFxot4TKbOOts9BLqI+8mFOWBYyBy6UyGdqagotLS3Izc3ldTTVaDSw26X3qszMzMBgMCAnJwdVVVU+ryGH+PBNQwjFUI6UWV+oyLHek1aW7CdAXCm3cON1e6DW+p63tvFpxOXJ2/PGNfKGpOjGxsbQ2dnpk5JKS0sTlaKLhrQbG/L94XsfbCttMgJoenqaTn0zRwAFW5e+kC20gRUWH5VKFfBunDkzbdu2bfTE20BIWZPxer3o6enB0NBQ0BEzUgWCoij09/ejv78/oI22HDbdXNMQwhH5iCWUBtP1H6uj/5/rTt/rcqPrVf+0klT41nv4iEuLR1xaPMbOyTPhIX1NBoz9s9yv9UH0s+bKpeGtmhi9oOinZHcNZ+pNDgKl6JgpqfT0dGRkZARN0UWj+JCbWiHfTZVKheTkZCQnJ6O0tBQej4ceATQ4OIi2tjZe91KC2Wy+YF1MgSiOfObn59HU1ISEhARRM9PEpt3sdjsMBgNcLpegSQJSIivi72OxWLBz504fwyYmUh1HnU4nmpubYbVaecfkSBVNp9OJgstr/B7Pv+UGODrlH06p0amxdt8un8e8AiPN9XtYx/nB++36m0GWYxNCfm2uIAFKX7N0IzXVPhW2Y3EuWqFP8i+pX5xYitBSyvKReXkdZg6fkP21A6XoBgcHg04ZiEbxIT0+UtJgGo0GGRkZ9Do10720s7MTLpeLXi9KS0tDQkKCpOkGq4moEx9mhVZ5eTnKyspE/WOLEYeZmRk0NzcjMzMT27ZtE1SpIvYiPj8/j8bGRiQnJwcdY8O0PhD6xSOmcklJSQH3LyXttri4iHPnzkH69KbAMMus1912NQDAawncCyOF9Tdu8fldqhjxTYlmI1SA+MjbEnyGH4l65CYcUw6CpejIlAFmSioaCw7knG7A5V5KxPnIkSP4j//4D1RWVkKlUuH8+fMoKysTvG8xFtovv/wynnjiCTQ1NcHhcGDDhg148MEHcc0119DbPPXUU/jc5z7n91ybzRbSul5Upd2cTidaW1uxsLAg2ZpAiPgwJzlXVVWhoKBAsMAJFTdmSbhQERXqu0MgA1SFrIWJTbuNj4+jtbV16aQXty4tGH2CHqX7Lg/PzgPAFKNwRUX5tbkwDQSvhMuuzuaNfgKl3qRS8bk96PnDq7LuUyxCUnSxsbFQqVRYWFhYMeM4NuGabsAW58rKShQUFOC3v/0tzp49i3Xr1qGkpAS7d+/Gz3/+84AN4mIttN977z1cffXV+MlPfoLU1FT84Q9/wEc/+lGcPHkSNTXLmYTk5GR0dXX5PDfU0WJRE/kQB9CkpCQ0NDRIbhINJg4OhwPNzc2w2WwBU2B8CIl8iBuo2MGjQsWHlGmLGZMjNPIh61/Dw8N0CbjrsKDDF81KCA+byn21AIDu1+RfCym7Yj3OH+oKvqFIKj66HeYR6ek6vuGicQ0fgu3Y0YiP2GFXjVmtVvT29tJRfSiDQOUkUnPd9Ho9PvzhD+Ott95CaWkpHn74YRw+fBjHjh0LOrPy5z//Oe6880584QtfALA0NPTNN9/EE088wWmhzXYi/clPfoJXXnkFr732mo/4qFQqn5YTOVhx8aEoCgMDA+jt7UVFRQVKSkpCussJJD7MgZ01NTWSGsKCiRuZiKDRaEQPHiWDFAPt3263o6mpCV6vV9SYHCGRj9PphMFggN1uR319vV++mfT45N9yg6DX5GPNZ5aq57yL80G3FbreEyrrPrr0Ret+rVF0sUGoMKMfISm3YHBVvAVjvmsAGRs2h/zachAfH4+kpCRotVpUVlZicXERs7OznCk6uRs7A7ESE62zsrKQmJiIG264ATfcEPh7F4qFNoEY9bGLu8xmM0pKSuDxeLB161b88Ic/9BEnKayo+LhcLjQ1NWFxcRGXXHIJPewvFLgKDpgCF+rAzkBNppOTk2hpaUFhYaFku+5AkZXRaERTUxOysrJQXV0t6osQLPIhd5lkbSocX+iYpFgU7PuI7PuVk3UfrYE2Pg5dLwtfhI9L478B4Ip+SLGBEISm3oRWvAFA7nVXYOLvhwQfw0pA1j2ZxnEkRTc3N8dZRUcaO8OVoou0l4/ZbMaaNWsEby/FQpvNf//3f8NiseDWW2+lH6usrMRTTz2FTZs2YWFhAb/85S+xa9cuGAwGVFRIX3tcUfHp6OiAWq3Grl27ZPOT0Wg0cDiWm/BIpdni4iJ27NiBlJSUkPfPvogzU1XsiQhi4RIfZhHG+vXrUVRUJPoLFijyISN+hKwdhUJEhSfEfqn1H6sTJUChkl0dusV7IAL1+oSr4i0U+AoOdDqdzyBQq9VKrxcJqaILhUhX4EmtdpNqd/3888/jwQcfxCuvvEKnQIElV9O6uuVWh127dqG2thaPPfYYHn30UdHHR1hR8dmwYQMAeb19mGkxudaRmLAjH4fDgaamJrhcLtTV1cli+sYUH+ZIoVCiQy5R83q96O7uxsjIiOC1I6EpN/ZonYLb9wPz0kbRrBRMARJa6caFnGs/FR8VZ1/BLrd2Dg9DX7Q8RsfW3Yu4dUsOpu42+eYKhorQCQdkob6goIBOGbG9euRK0ck9LT8YYvt8QrHQfvHFF3HnnXfiL3/5C3bv3h1wW7VajUsuuQQ9PT2Cj42LFRUfnU4X0igcLkjabXBwEN3d3Vi7di1KS0tlEzhm5GM0GmEwGGh/H7lN38iYHL1eH3CkkBDYaTen04mmpiY4nU7O9R3C/A/+BfEFS5Fc9o6NvPsPNNG64Pb9Eo965Yl0BMRFOKreAF9rhWjD6/WKzoYwU3RlZWU+Kbqenh7Y7faQUnQrseYTCQvt559/Hp///Ofx/PPPB11XApYiqaamJmzatEnwsXGx4gUHckPKM81ms+Ry7UCQ9FV/fz/6+vokp8H4IOJGxuSEsn7EPm4yk470HqWkpMjmlMrHahYewvqP1aH/H2dD2ke4Kt8uVORIcbFTdMxeGuLkybSLCJaii/Saj5TxOmIttJ9//nl89rOfxS9/+UvU1dXRUVNcXBy9RPH9738fdXV1qKiowMLCAh599FE0NTXh17/+dUjv74ISn4WFBfT29sLr9eJDH/pQWHwwyLrJ0NCQbEUSTFQqFUZGRjAzM8M5JkcqJKIi6ztSGnjFEinh8brkjZ65WHPttpAFCAhcbFB4TT3G/3lK0H4SC7MDllsHq3hjFx2wDeVWmnCsrzBnr0lJ0UUy8qEoChaLRbSLqVgL7f/5n/+B2+3Gl7/8ZXz5y1+mH7/99ttpx9O5uTncfffdmJiYQEpKCmpqavDee+9hx44dIb3HFW8ylQOmlTaxJgiH8CwuLqKxcakfZNu2bZLsbQPhdDphs9ngdDp5x+SEwvz8PKanp2W10OYjNo2VLhCw3hOO6QZysu4TH0b3C/8UtG1qqX8BQdkV6zE/NC3ptdPXZCBjQ+AudzEVb4HwulwYHRpCenr6ik1VDveEA3aKjthpB0rRRXrNR2zajSDGQvvQoUNB9/eLX/wCv/jFL0QfRzBWfeTDtNKura2FWq2GwSB/1zqZJlBaWoq+vj7ZU1Wk1FmlUqG8vFxW4XE6nRgdHYXT6eS0iZBCsLluGXtC6wWKVtgCFKjMejVCGk1NJhP6+/uh1WrpYaDp6emyVaUGI9KWCmw7ba4UnVarRWJiImw2W9BmTzlQplpHMWazGU1NTbRvTWxsLBYWFmS1ufZ6vejo6MDExAQdMZw/f17W12COyTEajbJ+6cj6jk6nQ2pqakjCoy0uke24FKIL765roH7/Tfr3LVu2wOv10gv2ZBJzUlISLUbJyclhi05WerAoV4qus7MTZrMZJ06cCHujq8fjgc1mU6ZaRyNk7aK4uBgVFRX0iSqX0yiwdPdD0mwNDQ303Y5cVtpMYaupqUFmZqasbqZE1MrLy6HVajE1JX4kC6l0E0PS7V8ATOOinycEOdJKoSIm/RYN8E23DlbpRszhSLe7w+Ggo4GWlhZ4vV6kpaXRUZGc0cBKiw8TkqIjgpObm+uXoktOTqZFWY5GV7N5qVVB7tR7NLHq1nw8Hg86OzsxMTFBzx5jotVqJXviMJmenkZzczNyc3NRVVXl80WQQ+DsdjsaGxtpN1PyxZXDUI45+42I2sjIiGyiphA+Acr78A7BRQdiYTeaaq++Ee6Df+PcVtP4d3hqrvN5LCYmBnl5ecjLy/MxS5ucnER3dzdiY2NpIQo1Gogm8SGQardAKTriYMpsdJUiylbr0vqnEvlECVarlR40yLxgMyELgh6PR9LJzzRlq66uRkFBAedrhHIhJ2NysrOzZXczJU2vbrfbZ/ZbpMzkkm7/QthfQy5UIuefsZGy3lP88esw9Je/h/S6QpEy4w0A4mtqEOwMZJulBVqwF2IexyYaLRX4BJHtYErsIiYmJmhRZtpFCLkuWSwWxMTERGxu3Uqwat7ZxMQEWltb/eyh2YQiPmSwps1mC1htJjXyYc6Yq6ysRBGj05y5b6niQ9Z3UlNT/Zpe5YioLga08cLvUouuqcPwmyvXgMpVbi214i2mzwBXCMfCjgasVqufeRyzcCHYtJFIFxwIQUi1m0ql4q2i6+3t9UnRpaenIzk5mfN9ms3mFas0jBRRn3bzer3o6urC6OiooLlpQiZDc0FG8aSkpKChoSGgcEmJfMiYnLm5uYD9QVJFYmRkBB0dHbwTHYJZlnNBvfyIqO1XU9Sz2ii47WOwN8lj+xBoxI5csM3j5ufn6bRUe3s7bSGdkZGBlJQUv5vJaEy7SenzkZqiu9Ar3QAguv51WdhsNpw8eRJGoxH19fWCBnaqVCpRbqYURWFoaAinT59GSUkJtm7dGjRiEhv5kAoZUuocqDFVrPh4vV60t7ejq6sLNTU1vI2j4Y58Eovk9fqINrSp3ANpS26/WZb9F15TL8t+QoXMd1MvGmXbJxn2WV5ejksuuQQf+tCHUFxcDKfTiba2Nhw5cgQGgwEjIyOwWq2gKCoqxUeOCQckRbdp0yZceuml2Lp1KxITEzExMYETJ07g2LFj+MpXvoLDhw/zRkWBePzxx1FWVobY2Fhs27YNR44cCbj94cOHsW3bNsTGxmLNmjX4zW9+47fNSy+9hOrqasTExKC6uhoHDhwQdUx8rHjaje+OnCz45+Tk+K2LBEOo+LjdbrS1tcFoNGLbtm1+Hhah7h9YtlkoKiryqcrjgzkGJxh86ztciLHRJoLM9D00Xf1ZZHXxu8qpPnyjoH0ThHj5SGaF04tcDaZMIrnuE42wLaTNZjOMRiOmp6fR09ODmJgYuFwuzM/PIyEhIWrWPeSecMBcNyMpuomJCdhsNvzpT3/C+Pg4Lr30Ulx99dX4yEc+gu3btwf8LMS6mJ4/fx7XX3897rrrLjzzzDN4//33cc899yArKws337x0U3X8+HHs378fP/zhD3HTTTfhwIEDuPXWW3H06FHs3LkzpPcfXbcWWJ603NTUhKqqKmzcuFH0P7gQcSDRiN1uR0NDg2DhIfsPdiGnKArd3d1obm7Gxo0bA65TMREaoczNzeHYsWOIjY1FXV1d0P4doQUHXq8Xra2t6OvrC7ptuImUkVykSNkpbCJ13oe5x5bEbhVn3pX2xeVxKc5F4dMjqLjIpXtUKhWSkpJQUlKCmpoaXHbZZVi3bh2ApVTykSNHcPbsWZw/fx4LCwsRKZrhI9yz3bRaLQoLC/H73/8e3/rWt7Bjxw7cfvvtaG1txfXXX4+BgYGAz2e6mFZVVeGRRx5BUVERnnjiCc7tf/Ob36C4uBiPPPIIqqqq8IUvfAGf//zn8V//9V/0No888giuvvpqPPDAA6isrMQDDzyAq666ys8BVQpRJT52ux2nT5/G1NQU6uvrkZ8vbeJuMPEhIW5WVhYuueQS0aN4gqXdnE4nzpw5g8nJScHpQua+g4nPyMgITp8+jbKyMmzevFmQOAuJfOx2O06dOgWz2YyGhgbBx3yxI1fqTU6I8CTd/ZWA22mvXo5YvbuuCesxCUGj0SAzMxMAsHXrVtTV1SE3N5duKD969ChaW1sxPj7u49sVbiKdCrRarUhPT8cXvvAF/PnPf8b09DTKy8t5tycuph/5iK9nViAX0+PHj/ttf8011+DMmTN09oVvG6HOqIFY8XiWpN1mZ2dhMBiQmZkZsj0Bn/gwixc2bdoU1OMi0P75LuTMidFSHEEDiQ+zKbW2thYZGRmi9hvornFubg6NjY3IyMjAhg0boNFowNw6UMrNtO/LSF8YFHwsFwrqXP8y/GiAGfEASwLkeP5JAL69PrrhbriK1kX8+IJBURRdah0bG+s3aWB2dpae5ZiQkOBTuBCu2WvkOxmp2W4Wi8WnxyfY60pxMZ2YmODc3u12Y2ZmBnl5ebzbCHVGDcSKiw/pqzl//jwqKytRWFgYcnkhl/jY7XY0NTXB4/EE9K8RAl/kQyrOQpkYzSc+5Pi9Xi9vj5OU/QLLkxAqKipQUlIi+rhXUngiMdFaCCW334zBp1+K+OtylVs79YnQO808z4h+yHnKjjK4LLVJ5VhHRwdcLhdSU1Ppcu74+HjZSpUjLT5ijeQIYl1MubZnPy7VGTUYKy4+BoMBc3Nz2LlzJ5KTk2XZJ1t8mFEVuauXc/+k4mxyclJ0RMKGSyS4ohKxcBV2kEhwbGyMnoSgEBnEFB0U3PaxkF8v5pN30tFPtMMnPmx0Oh1ycnKQk5NDWxAYjUbMzs6ir68POp2OjorS0tJCGopKvu+RTLuJuUGW4mKam5vLub1Wq6WvYXzbSM0aMVnxNZ+ysjLU19fLJjzAsjgQ07dz586hoqICmzZtkuXOhRn5kHLwxcVFNDQ0hCQ87H0DwPDwML2+E8rxs0WN5IhnZ2dRX18vWXhM+74cfKOLBDnXfviKDsSi9obSOroykJskMRd6lUqFxMREFBcXY+vWrbj00ktRWVkJrVaL8+fP4+jRozhz5gz6+/slzU8k6z2RavoU2+fDdDFlcvDgQd712/r6er/t33rrLWzfvp0War5t5FgTXvHIJzU1VdYJ0cCS+DidTjQ2NmJxcRE7duygXfnk2r/X66UjKq4xOVIhIkGiqampqZCjKWA58iGlrefOnUNycjJqamqCrksFK7Nmow/TUNHVQLAy63AT+y9fX9HXlwMiDKFc6DUaDTIyMujvjd1up1N0IyMjAJabOzMyMqLSxVRs2k2si+kXv/hF/OpXv8J9992Hu+66C8ePH8eTTz6J559/nt7n1772NVx22WV4+OGHsXfvXrzyyit4++23cfTo0ZDf44qLTzjweDyYmJhAWloa6uvrg47yEItKpcLi4iLOnTuHqqoqFBYWyrZvtVoNt9uNkydPgqIo1NfXyzItmHxxyJiisrIylJeXX9DjO1YLkWow9Xz+36D5359x/s3W3Qt1+Rafx+bHB5GSF3kbDTJaR85zMzY2Fvn5+cjPz6eHos7OztLz18jE6oyMDKSmpvrdSEbSxRSQJj5iXUzLysrwxhtv4Otf/zp+/etfIz8/H48++ijd4wMsTfN/4YUX8J3vfAff/e53UV5ejhdffDHkHh8gCsRH7ovfyMgIJiYmkJSUhNraWtn373a7MT4+DqvVip07d8oaUQFLuV6r1Yr8/HxZ1qfYtLa2YvPmzbLkbOUk2l1Mw8FKNpsyR+wYP/lvSH+eW5RcLlfEDOQI4S5pZjd3ulwuev5aV1cXnE4nUlJS6MKFhISEFYl8pBRFiXExBYDLL78c586dC7jPW265BbfccovoYwnGiouPXHg8HnR0dGBychJ5eXkA5Bc2s9lMu40mJSXJKjwURWF4eBjd3d3QarXYtGmTbMdP5soBwPbt25GWlhbS/oiLaaTXe+T08gl1ojUfKZdfivnDgUeahAshKTempYLP4+vWAn0GOHZdA8wtpU3TJ9rxdmc/kpKS6BSWHF41wYj0RGudTofs7GxkZ2eDoijYbDbMzs7CaDTSbq4JCQnwer1wOp2yZ1K4sFgsF7SXD3CBiI/VakVTUxNUKhUaGhowOTkJk8kk62uQdFVRURGSk5ODdhuLgbm+U1lZid7eXtm+4BaLBY2NjXQjrVAnU+rlR+CW+TOMdsRMtObDXLwJQPjEJ3ZrTUgDRs3X3YHEvz/l81j2TAfv9g0NDfSFeHh4GCqVih6CmZ6eLrpBWwgrOdFapVLRQ1GLiopoN9fh4WG4XC4cPXo0Im6uF8Ng0RUXn1BPsqmpKbS0tCAvLw+VlZVQq9WiZq8Fw+v1oqenB8PDw3Rj6tTUlGz7J6ZywNIX3eVyyTYAdGZmBgaDAQUFBaioqMDBgwdXdDyJgj+B1nuEGstx9frIRUxMDL1WwtXkmZiYSKenuKZTSyGahooSKwiHwwGPx4MNGzZwurkSMZJjfZaUjSuRT5RCURR6enowODiIDRs2+IzikUt8iL+P3W5HXV0dvQAol402MZXLyspCdXU1NBoN3G53yPtm+gYxDfHEDBcNRExlJSYqrxL+hPmLK4KSE6E9PomF2ZC73Va9aATzW8Ru8nQ6nfSFuLW1FV6v1ycqknohjibxIRAvH7abq9lsxuzsLKamptDT00Mbx5HCBamTWqxWq+AsxWplVYqPw+FAc3Mz7HY76uvr/apC5BCfQGNyQrXRJus7XV1dWL9+PYqKiugIkJRaS+0i9ng8aGtrw+zsrF+J+UVhKBeG98dnpyAGoUNFpeK+4TZZ9ze17nJkdwcur+eaTj07O0vbasfFxfnYagstnolG8eGqdiNrv0lJSbK7uSqRTwQQe4E1mUxoampCWloab49KqOIzPDyMzs5OXmO2UCIfj8eD9vZ2TE9Pcy7+ky+dFPGx2+04d+4cbTPOzsdLMZQzXf1ZUdsrAJrP3APPnx5f6cPwI95mhDVO2PT2rOEzovbNdyGenZ1FZ2cnXC6XX3qK7/yORgttIdVuQt1cyWfAV7jgdrvhcDgkjddZTay4+AiFoigMDg6ip6cn6AwyqeJDKuaCNXZKjXxsNhuampoALK3vcDW2kbsrsXd/JpMJjY2NyM7ORnV1NedzL4rIZ5WhTk6Fd2Euoq/JVXQgN8wLMUVRsFqtmJ2dpUff6PV6OipKS0vzuYmMRgttKX0+fG6uZAYkcXMlkSH5zprNS3P5lMgnCiClwiaTSVCpsBTxsdlsdBk1nzAw9y82NUbWdwKJA7Ac+YgRCRKpsVN4bKREPtGO5ZO+5cVqyv/fPe65RyJ0NKuPSEy2VqlUSEhIQEJCAoqLi+HxeDA3N4fZ2Vn09vbS6SlSzh3pnhohhHpMxM2VOLoy18va29vh8XiQmpqKtrY2ulUk1Go3k8mEr371q3j11VcBAHv27MFjjz3G66Tscrnwne98B2+88Qb6+/uRkpKC3bt34z//8z991tSvuOIKHD7sm5Ldv38/XnjhBVHHF/XiQ3prYmJiOFNJXIgVn9nZWTQ1NSE3NxdVVVVBTzJmdBLsboi4gnZ3d6OyshJFHzT28SFGfJgWC0KcWIVGPm63Gxrwp9xEFRtIhM9IznTr/T6/a73Be3+st90HAIh/9uehH9gFyui2m1BwVh575GCwR98w01OkhUGr1WJychLp6ekRb3Llwuv1ytrfw14vs1gsmJ2dxZ///Ge89957iIuLw7/+67/i2muvxYc//GFJPYWf+tSnMDIygn/84x8AgLvvvhuf+cxn8Nprr3Fub7Vace7cOXz3u9/Fli1bYDKZcO+992LPnj04c8Y3DXvXXXfhBz/4Af27lOKSFRefQJHD+Pg4WltbUVJSgoqKCsFRhtDIhKIonD9/Hn19faLG5DAFIpD4MBf/hTZ3krEiwUSCaaEt1GJByH5tNhvOnTuHaLOSG997P3QIrck0kiK00us+ctgqTK27HKG1IwuDnZ7q7u6GyWTCwMAA2tvbI97kykU4ozEyFDUxMRF//etfcfToUXzmM59BbGwsvvWtb6G3txd/+9vfcM01ws3+Ojo68I9//AMnTpygR+H87ne/Q319PV3oxCYlJcVviOhjjz2GHTt2YGhoyMeKOz4+XpRJJhcrLj6AfzrI6/Wis7MTY2Nj2LJlC7KzxQ1rJILg8Xh4Sx3dbjdaWlowPz8vevAoOQk9Hg/vXRlJ46nVatTX1wcdXMjefyCRWFhYwLlz55Camort27cLzkUHM5Qj60a5ubnApODDDSvje+/n/ZuQqIcL6233waPSIvmF/5Z6WFFrJCcG5ogdJn3FV6N86CDHM8IPMZBLTk7Ghg0b4HA4It7kykUkZ7t5vV4kJCTgkUcegUqlwuDgYNCsBpvjx48jJSXFZwZbXV0dUlJScOzYMU7x4WJ+fh4qlcovVffss8/imWeeQU5ODq677jp873vfE71GFRXiw4Q0XVIUhYaGBkm17uQkcbvdnOJDUnmxsbFoaGgQHU6T0ep8AiE2jce1f759k2hQimFdoP0y142Ki4tBdb4l6pjF4F2cD7qNOjYWo9eEd3zPwifuD0mA5GBwy8dQdOR/RT2HPeVg4pb/QKZtmHd7tdcFr9r3Jmnoxm9ireF5nmcssxLDRZkZC74mV+aivdxNrlxEch2KDBUlnwEZDCqGiYkJzpv27OxswS6kdrsd//Ef/4FPfepTPpY3t912G8rKypCbm4vW1lY88MADMBgMflFTMKJKfEhHfk5OTkgWBYHEYWJiAi0tLaJTeVyvwV5XYlbkCVnfCbRv9rFTFIXu7m4MDw9LigaB4IZyclg3yMH5j3wdepV8c9wCEQ0CpOALX6VnpJpcxRxTOAg0WufBBx/E97///YDPP336NADuJQ2hRVIulwuf+MQn4PV68fjjvunju+66i/7/jRs3oqKiAtu3b8e5c+dQW1sbdN+EqBGfvr4+9Pf3y2ZRwOU2SsbkyDHVmd3rw1zfueSSS3grSoTAFh+XywWDwQCbzeYzaUGO/TY1NcHhcKC+vt4nyjTWXse5j5Nlt6MEI5JeXwjnPxJ5PxpFgKILoRd6viZXpk2ClCZXLsiEg0gQyE7hX//1X/GJT3wi4PNLS0vR3NyMyUn/3Pn09HTQa5/L5cKtt96K8+fP45///GdQo8/a2lrodDr09PSsLvGhKArnzp3DwsKC7FbabvfSwBGHwwGDwQCn04n6+npZBvax3UzJ+o7Qirxg+yYiQYzfEhISUFdXF1LlDzMaZO+XmZ6cHegK6filoE6IR9+uf4n46xIWPnE/0l+Vt0BgpYsOpBDTZ0BR+coeg5T1Fa4mVxIViW1yleuYpGKxWHiXGzIzMwW5DtfX12N+fh6nTp3Cjh1LrrgnT57E/Px8QBdSIjw9PT149913BWVC2tra4HK56BJxoay4+KhUKhQVFSElJUXWkkoS+czNzaGpqQmpqamora2VPGuJb/9kfYc52DRUiPhMTU2hubkZxcXFIaUImfulKArT09MwGAyy7VcOVlJ4CMY998guQKHSW34D1va9HnS7mbiigOs+qwmv1xvytUCr1frYJJAm15mZGfT29iImJoa3yZWLlVjzCYWqqipce+21uOuuu/A///M/AJZKrW+88UafYoPKyko89NBDuOmmm+B2u3HLLbfg3Llz+Nvf/kabcgJAeno69Ho9+vr68Oyzz+L6669HZmYm2tvbcf/996Ompga7du0SdYwrLj7A0iKY3J33arUaU1NTGB0d5R2TE+r+JyYmMDExIbubqUqlwvj4OKamprBx40bRdxSBmJ6exuzsrN8w1kCIsdCWQlvdVxELR1hfQwgOlXxrBGIYvvTzoosO5CZ7piOivT6BkDrXkA+uJlcyg42ryTUhIcHv9SMd+cgxWufZZ5/FV7/6VXzkIx8BsNRk+qtf/cpnm66uLszPLxUAjYyM0A2pW7du9dnu3XffxRVXXAG9Xo933nkHv/zlL2E2m1FUVIQbbrgB3/ve90R/PlEhPnLfeXs8HjidToyNjQlqvpSyf7vdDrvdHvL6Dhu32w2bzQabzSZrGtLr9cJsNsPtdosuLQ8XbXVfXZHX9aj4T/vxvfcj7xV513+kDhXt/1B4o8HeLZ8UVPFmt9tFtQqESrgX9zUajU/6it3kSppgSeGCTqeLeOQjx9JAeno6nnnmmYDbMAuQSktLg05AKSoq8ptuIJWoEB85IesvXq8Xa9askV14rFYrXQq+du1aWYWHvW+5hMfhcKCxsREejwfFxcWShedk2e2yHA+wcsIjBDkFSPOZe4Du4J480YKjfIvfY8ePH0d8fDwdGYSzpBmI/FRrdpPr3NwcLUSkydXj8cBqtXJGRXJjsVhkv25FIxeU+JBS7by8PMTExMh+ArP3L+dJyFw7knPfxBoiLS0NcXFxEUsdBEKd5Ct+sZrgKbdQpxtIRYydwpKLaWSZuOU/wv4aH/rQh2A0GjE7O4u2tjZ4PB6f6cxyR0UraanAnDy9du1aOBwOzMzMYGFhAR0dHejq6hI0mToU5Eq7RTtRMb0v1AstRVHo6+tDY2MjKisrUV1dDa1WK5vbKBnDw96/HOtUpDfo3LlzWLduHW0qJ8e+x8fHcerUKRQXF2Pz5s2i9utRC7svSV8YFH1cLRvki6CCQamkneKBJitEA7FbayQ9L95mBACke5adT3XD3X7b9RVfvfx3nQ45OTmorq7Grl27UFtbi6SkJExMTOD48eM4efIkent7YTKZZDlvo8nPJyYmhi5NbmhowObNmxEXF4eRkREcPXoUp06dQl9fn2zvHbg4vHyACyDycbvdaG5uxuLios8aiVxupmSi9tzcnM9aSaiGcsDSl6y9vR1TU1M+s99CtT6gKAq9vb0YHBz0aUiVy8k0FI5X3I3EKCguEIIcJnKrHa8qsIGay+WCyWTCzMyMbFGR3AUHoUK+5xqNRnCTaygR4cXgYgqscvEhvSrx8fGor6/3CYHlEB+yBqPValFfX+/TvxNqdGK329HU1ASv1+tn4RCK+JCZdaRvinkHFWy2mxzoTeO8fztecXdYX1tuhi//AooO/36lD2PF+a8DsfjGTdxTxnU6nU9JM7vRU8paUTRFPsCyvxD7mII1ucbHx9NClJKSIjjlbTablcgnUki5yyFjckpLS7F27VpOt1GnU/o6AVnfyc/Px/r16/1OvFAin7m5OTQ2NiIjIwMbNmzwOymlig+ZSK3T6fzEGAgt8pGz2EAhejiy9h5c2hu4t2n7BmHfT76oiLlWlJaWRosRX2QQbeIjpNItUJNrR0eHqCZXuardop2oEB8xkJHrIyMjAWecSY18mDYL1dXVKCjgnl6s0WjgcrlE7390dBTt7e0B3ViliA9zIjVfs6scqcKSGGmjdVZb1ENo33Uvqt9/ZKUPg5Ng6z5CbBXyEkw+v5/RfQjbXUd9HqtJ6gQgfril1Kgo2sRHSo+P1CZXsq0S+UQZYsbkSBEfvvUdLsReyJkDPGtqagKOyFCr1fRoICGwJ1IH2q+UyGd6/eUIpdhstQpPJImGRtNwIiYqijYn01CPR2iT69jYGLKzs2E2m0Ne8xHrYgoAd9xxB55++mmfx3bu3IkTJ07QvzscDnzjG9/A888/D5vNhquuugqPP/64pCb7qBAfIWk3kqpKT08XNCZHrPhYLBY0NjZCr9cLslkQs+bjdDphMBg4B3hyIVQkxE6kvhBttJlwWWiH5XVEevmcXH8Xdnb9LkxHIwwuWwVCuG20uQgUFTmdTnR0dCArKysifUXBkHu6AV+T6x/+8Ae8+OKLUKvVeOihh7B//37s3r1bUs+PWBdTwrXXXos//OEP9O/s6+C9996L1157DS+88AIyMjJw//3348Ybb8TZs2dFf0bRc3vBA7GhPn36NMrKyrB582ZB89nEiM/09DSOHz+OjIwMbN++XVDtvtDIZ3FxEcePH4dGo0FdXZ2gOxoh4uNyuXD27FnMzs6ivr5e0ADAYPulKAoneuW9gB/P/ris+1sJ2nfdu6Kv31t+A+fjA2uFO1sKpTRhjP7/BVUkfEyXo6LS0lJs27YNGo0G+fn5cLlcaGtrw5EjR9Dc3IzR0VHYeezVw0m4IzHS4PrYY4+hu7sbKpUKOTk5+NGPfoTs7Gw/S4NgEBfT3//+96ivr0d9fT1+97vf4W9/+xu6ugIPDY6JiaGLKHJzc32Eb35+Hk8++ST++7//G7t370ZNTQ2eeeYZtLS04O233xb9vqMi8uGD2BTMzMyIHpMjpM+Hoij09/ejv79f1KwzQFjkQ4oiysrKUF5eLriwIphIBJpIHYhAkQ8p+0ZslaB9CeGtlNuQtELNoauBwS0fW+lDiEooikJmZiYSEhJkq6ALhUiuQXm9XlgsFjz00ENISUnB6Oio6NcOxcX00KFDyM7ORmpqKi6//HL8+Mc/ptfVz549C5fLRc+KA4D8/Hxs3LgRx44dE2XzDUSx+FitVjQ1NdE2BWJr5oNFPkwbbSkz1AJFPqTPZmBgQJJ3UCBhC2UiNZ+oOZ1OevyOmuNj7neWCn6NC5VoLjwIB0ULrRhO3rgir8282MtVQRcKkfTyMZuXCkTIejZfwVMgpLqYXnfddfj4xz+OkpISnD9/Ht/97nfx4Q9/GGfPnkVMTAwmJiag1+vpfkRCTk6OYHdUJlEhPuwL6PT0NJqbm0OyKQgkDmR9JyYmRpKNNsAvEMym17q6OklVK3xOpgMDA+jt7RUdpQXaL4mikpKSsHHjRiyM9oreLxdvpdwm+bmRcjFVWOJEzG7UOcSnTcIBicz5vvPh6CsKRqQnWickJHAed7hdTPfv30///8aNG7F9+3aUlJTg9ddfx8c+xh+lS20KjgrxAZZ7UKSmwdjwpd2IR05hYSHWrVsn+eTkEjemqHH12YjZN1MkvF4vnX4MZSI1O+3GjKLWrl17QRcjrDakTLQO1dMne6YDU5n+add22zo4utW4Yp1N8r6FQs57Id/LSEVFKzHRmutiHgkXUyZ5eXkoKSlBT08PACA3NxdOpxMmk8kn+pmamgpoUMdH1IiPy+XiHJMjFXbajbm+I4dHDjvyIU2pBQUFIYka4Cs+ZCI1RVGor68PKa1A9kuKOLq7u7Fhwwbk5eXB4/HIMnrHmZaHQ94P8/49Ub86RutwcbGk3rh6fSIFOQel3EmHKyqK5JrPSrqYspmdncXw8DB9rdy2bRt0Oh0OHjyIW2+9FcDS/MjW1lb89Kc/FbxfQlSIj9frxYkTJxAXF4eGhgZZHE01Gg0oioLX64XX6/UZOSOHVQERN2Y6LFBTqhiISDAnUm/cuDHk0J9El+3t7ZicnMT27duRkpJCC0809VYEQ+tdmdSc2DJrQjjKrdtn81GdMRZ8w1WEmMgnEHJGRZFe8wnVtkGKi6nZbMaDDz6Im2++GXl5eRgYGMC3vvUtZGZm4qabbgIApKSk4M4778T9999PN8h+4xvfwKZNm7B7927RxxkV4qNWq7F582YkJSXJNlCQnCwLCwtoaWlBbGxsSKkwNiTt1tLSgtnZWVkN2tRqNZxOJ06dOoXy8nKUlZXJ8rmQShqKolBXV4fY2Fg6OlSr1bK8RqCo50Kgtfzj2Nj3l5U+jAuWUCKfQAiNitLT05Gamuojfl6vV3BFaaislIupRqNBS0sL/vjHP2Jubg55eXm48sor8eKLL/qsW//iF7+AVqvFrbfeSjeZPvXUU5LEOSrEBwBSU1NlnbhMPozTp0+juLgY69atk/WEdrvdtMFUQ0ODz9DRUKAoCmNjY3A4HKitreUdHyQWi8VC1/jv2LEDKpWKFh6VSsX72bzaW42NxVZZjuFipE3lb87GR6SmHMTbjLDGpSPdMwWjJvj5VRnfB8NCBdxud9gvwhRFyXYjxEegqKi9vd0vKvJ4PGHx7eEiUNpNDGJdTOPi4vDmm28G3W9sbCwee+wxPPbYYyEfY9SIj5wQfx8AqKioQGlpqaz7N5lMOHfuHADgkksukS0kJ+Xfc3Nz9J2aHBCjuoyMDMzPz9PpN65JvQDgVuuggvjig5cXrkZ6YmSmDCiEF3aZdYzWiyNHjiAlJQUZGRnIzMxEfHy87CKxEunfYFGRWq1GUlISUlJS/KIiublYjOSAKBIfuU5iZqmzVquV3Y6WzFErLy9Hd3e3bBVizInUmzdvRlNTkyz7HRoaQldXF6qqqhAfH4/GxkbMz88jOTlZ0JfoYol6HKq4lT6EFYWv3PqMaT22py1FzHV1dZidncXs7CzOnz8PvV5PRwdpaWmy3ISRm6KVgisqamxspNdKw91XpIjPKsVsNqOxsRFxcXGor6/HsWPHZHMz9Xq96OzsxPj4OGpra5Gamoru7m5ZUoXsidRWqzXk/TKPd/v27UhNTYXdbkdqaiotcpmZmcjKypLlwvHywtXBN4oCPKrQT/m3cz+P3RO+6bFIW2i/kfY52faVl2DCuMW3cXDSloqcuDkAQKe1HMDSnK/8/HwUFhbC4/Fgbm4Os7Oz6O7uhtPpRGpqKn1Rlpo6irbCF51ORzu55uXliVorkoLValXEZ7UxOTmJlpYWn85/udxMHQ4Hmpqa4Ha70dDQgLi4ODriCXX/XBOpQ3UydblcaGpqgsPhQF1dHeLi4uh8/ZYtW0BRFIxGI2ZmZmivkfT0dGRlZeHCdxERzqJ79V8EhNgqBMPs0CIxxu1zrqvVajoCqKiogM1mw8zMDG0ZEBcXRwuRmItytIkPsFztJnatSEpURKrdLgZWvfgwR9ls2rQJubm59N/kEJ+FhQWcO3cOqamp2LZtG73gStZLpO4/0ERq4jgqpXPYYrHQ7q47d+70OUZSWKBSqeiegfXr18NsNmN6ehpf+PdpPP+Q+Avuaol6VjO95Tdgbd/rEX/ddelT6DYurT0eG0jBZWstdK8Ysf1QqVSIiYlBYWEhiouL4Xa76YtyR0cH3G634IsyKTiIJvgmHIRSQceHxWKRba032oka8ZGS5yWNqRaLhXOUTajiQxqo1qxZgzVr1nC6pUqJUJiRCZfFAtNUS0w6jBQWkEZXr9cLj8fDW1gALOe4b/1SH37ww60A5Bmvo+DPSlsrBLJVAEBPNyhNGMOAhXu6COnBI/1z5IcdFWVkZCArKwsURcFisWBmZoa+KCckJNBCxF57XOk1Hy6ERGNyRUXKms8qgMwki4+PR319PWdjaihupt3d3RgeHg7oliol8hEykZqc6GKa20j6rrKyks7Jky9NsC/zdZ9u8vmdVLoJKbMONeqJ1YRv4gGlCt8dNNe6z8WEWq32uUmiKIpuumZHRXFxcSguLqYvykajEbOzs2hpaQFFUbS1dEZGRlSn3cTAFxVNTk4GjIqUNZ8oZ3JyEs3NzSgtLcXatWt5L65SxMflcsFgMMBqtaKuri7giSA28hE6kZr5pQ4GRVHo7Oyk03fp6ekhCU8ohKvMWqfYMkSEwwNrcHlpv+jnkfOVXKBJJEQmjLCjoqysLOTk5ICiKCwuLmJmZgYjIyPo6OigI4KFhQVZm85DQQ4n02BR0ejoKCYmJuBwOEJe85HiYsr3Of/0pz/Fv/3bvwEArrjiChw+fNjn7/v378cLL7wg6TijRnyEnGRirQrEig8zKuGLppgIjXzETqQmn0Uw8XG73bRQ7ty5E/Hx8SsmPBcLExbxU8q5uJC9fPiiImaajmyXkJCAxMRErFmzBk6nE729vTAajWhqaoJKpaIjovT0dFnGbklB7qnWXFHR8PAwDhw4gJaWFvT396O9vR3XXXcdPvShD4lucJXiYjo+Pu7z+9///nfceeeduPnmm30ev+uuu/CDH/yA/j0uTnqLQtSITzCY6zv19fWCQlMx4kOmXYvxyRES+UiZSE3WaALt22q14ty5c4iNjcXOnTt93msw4ZFLdA6NRN5++UJn+NLPw0WtzEW2KCN4CvQj+0/7/P7Wi5cE3J4vKiKixByno9FokJiYCLfbvWTvsbCAmZkZDAwMoL29HcnJyXSDa6jzz4RCjjFcqUASFX3605/GbbfdhpqaGnziE5/AxMQEPv3pT+Oaa67xsbUOBnExPXHiBG0m97vf/Q719fXo6uriNZJjFmoBwCuvvIIrr7wSa9as8Xk8Pj7eb1uprArxWVxcRGNjo+CIhCBEfEKZdh0s8gllInUg8SETFvLz87Fu3TqfL3GwL0kg4anQKsUGYojGdZ9QbRWYvN+fi11rlk3CYrReXPXxBrzzl2P0Y0wxCiZEQOCoyOPxwOFw0OdzcnIyUlNTsXbtWtjtdrrBdXBwEFqt1qfBNVxjf8j3KlKDRW02G6699lpceumldFpSDKG4mBImJyfx+uuv4+mnn/b727PPPotnnnkGOTk5uO666/C9731PkmcZEEXiw3cXQ6yog63vcKHRaOBw8N/Nud1utLa2Ym5uTtK060CRT6gTqfnEh+TG169fj6KiItnTbO9MbsYVee2ijpWPpBhlreZCIyWF/5IRalQ0OjqK0dFRbNiwwa9oQafTIS8vDwUFBfB6vXSDa19fH2w2G1JTU5GZmRlSgysXzGxCJGBWu6lUKtHXJKkupkyefvppJCUl+RnI3XbbbSgrK0Nubi5aW1vxwAMPwGAw4ODBg6KOkRA14sOGoij09PRgaGhIkhU1EDjysVqtaGxshFarlexmyhf5kBLtUCZSs8WHVOCNjIzQhQXkyylEeK697Rz9/yqeKrB3JjfT//9qb3XA/f1f81pkyju5KCTU1MU5Uy5StgqNPVrUVLhFPUdMVDQyMoLu7m5s3bqVrnoLVMqdmpqK9PR0VFRUwGq10lFRX18fYmJifBpcQ4la5LJ4EAIpS+daUgi3iymT//3f/8Vtt93ml6m566676P/fuHEjKioqsH37dpw7dw61tbWC9s0kKsWHVJzZbLagFWeB4BMf0g8Tik032T9bIHp7ezE4OBiwRFsITPEh8+rMZrNPYYHQCcBM4Vk6Tt+Iik+M2JTEjIh4BxcHYlNvK93rEwy+ireK4tD2GygqGhwcRH9/P2pqamiHTK70HBEirgbXgoICOhNAKsk6OzvhcrmQlpaGzMxMpKeni14gJ5VukVhfcjgc8Hg8nGmsSLmYHjlyBF1dXXjxxReDbltbWwudToeenp7VLT7kH3dxcRHnzp1DUlIS6urqQqpw4XIzJQ6elZWVKCoqCumYmZEPmUhNDOuk5kGZ+/Z6vfTAUb1ej7q6OlGFBYC/8HDBFqNg/F/zWlHbK8iL1LlufxjdjduLlkplhdgqrM2z4/3+XGSlLp0fjT1a6HTwW/eRAlOMvvUlC2pra3mLccSWcqenpyMzMxPr1q2DxWLh7K8R6mYqd6VbICwWCwBwllpHysX0ySefxLZt27BlS3ArkLa2NrhcLsmu0FEjPsByuqqsrAzl5eUh320wL9RkKu3U1BS2b9/u40Eeyv6ZAqHT6WQzrFOr1VhcXERraytycnJQWVkpqrAAECY8BGb0EyzlpuBLpIeKhsJTQ5fjjuLDwTcMwMyURaajWeInTyQA6KZ/F7JWxNfgyi7ljouLQ1FREUpKSuB2u+kGV+Jmymxw5fLkimTTq9lshkqlCmnNSoqLKWFhYQF/+ctf8N///d9+++3r68Ozzz6L66+/HpmZmWhvb8f999+Pmpoa7Nq1S9KxRo34uFwu9PT0hJyuYkLEx263o6mpCV6vFw0NDbKNQVer1bBYLDh+/DhycnJQVVUl24nqdrvR29uLyspKFBcX018qoSkAqcKjcGHyh9Flm+Onhi7HretbfP7ONdl6pRCzVhQsKmKWcpOZhqS/ZnFxEbOzsxgbG0NXVxcSExN9xv4Qw8VIRj6JiYkh33SLdTElvPDCC6AoCp/85Cf99qnX6/HOO+/gl7/8JcxmM4qKinDDDTfge9/7nuTPJ2rER6fT4dJLL5U1t6rRaOB0OnH8+HFkZGRgw4YNsp5IZGZVVVUVPZE6VEihhc1mQ3FxMYqLi0VVtAHANZ88S/+/Si2keVdY2m3QUYjTXfL6l7DRqy78CjmpDaZSh4s+0X8VYj+4qVepgFAtqMorUtB6TAePyxXajgQgpYJObINrWVkZnE4nHRUZDAaoVCqkp6dDr9dHbMoCcTEN9fXEupgS7r77btx9992c2xcVFflNNwiVqBEfYHmas1wYjUY4HA6sX78epaWlsp1EZCL17Ows0tLSZBMesm60uLiI1NRU0RMLAF/hAQDKSwkSoB/+qBZDs5IP/aLmhPMS1OlP+z0uxkI70vy5a5Nf9EM4PLAGJVn2gM/f2FCNlvdb6d+97shUG8oRFfE1uGZnZyM3Nxder5ce+zM5OQm73Y6zZ8/SUZEc0QkXFovlorFTAKJMfFQqlSziQ8RhdHQUarUaZWVlMhzdEsyJ1KWlpfQiYaiQdSOtVoudO3eira0N8/PzyMzMRExMjCThAYRFPpEiUR++IaIKkScmPg4Oq+2DG5zl1C0lg8GiEOSMithFC8Q2Oy4uDuPj48jLy6MbXDUajc/YH7kaXImXTzTMs4sEUSU+cuB0OmEwGOBwOFBTU4MzZ85I8sXhgj2RemxsDAsLCyHvd25uDo2NjcjKykJVVRUoikJubi4GBgZw9OhRpKSkICsra8nsjefOKBLCE+6Um1C03uhKzZ0f16CuRL79vd6UjRu2Tsm3wxA52+rCto1LVacuFwWdbum8Ss1Ox/TwBKABPK7lHiAVa91zJcRITFREIiBmVERKuV0uF7RaLXJzc5Gfn+/T4Nrf34+2tjY/B1ep15qLaaI1cIGJD7tMmzniPVTx4ZpILYdZHanwq6ioQHFxMZ0OyM7ORk5ODux2O2ZmZjA9PY2+vj7ExsYiOzsbWVlZSElJgUql4hQeYCnlRggkRCqVGkOzSxU2C4xALpidgoI0JuwZyI2VluPsLb8BMArf/snOnbx/e6ppA+7Y2ubzWFGGA8OzvlVfxYUxALgFJC5x6WbIZl4+cZhCBCDqoyIiRMyoyOv1wul0YmpqCklJST4N3cwGV5vNRje49vf3Q6/X+4z9EbPGbDabZZ3OEO1ElfiEIhCBbBbcbrfk8udAE6mlmsmR/ZKG1K1btyIzM5NzfSc2NhaFhYUoLCyE2+3G7Owspqen0dTUBICUqfrfbfq9ntc3nUnESKl0Axwq6ZN5Vzt8PT6B6O9bgHFqAdkFS9VxxvFpaLQauJ0fXKDJGgvHjdlKCBEgPiryeDxobW2FXq9HRUUFAHB6Fen1euTn59MeWqTBtbu7G06n08dALliD68VkJAdEmfhIIZDNAnOhUQrBJlJLtdH2eDxoaWnB/Pw8du7ciYSEBEGFBVqtFjk5OcjJyfG7s2N+kYMJ0dL2S4UIQivdXj+iwkXi7gsAWHSLuwg8P1iHT5acCNPRRJ73m7XYtXk5gjnb6kJyMnfDtz42Fk67HVr90uWELUIU5fW7+QGiIz0H+IuRy+VCY2MjdDodNm/e7BO9CG1wpSiKHvszPT2Nnp4exMXF+Yz9YbdlKOKziiBjZxYXFzlttIk1AblTEYOQidRSIh+73Y5z585Bo9HQExzETCwA/L88bNhfYi4xiqZChEjhUUXH6f5esx637uD+218bCyJ2HPFxarx6Ngt7tk2Lfm5GbgpmJ5b6RBLTkmA2LT3OFCGXY3ltjnm+cQnR0jYrHxW9/sxWeqLIli1b/ARCTCk3yVoUFxfD7XbDZDJhZmaGNpBjN7hebNVuUZVzEZN2s1gsOHHiBDweD+rr63nH2UhZl5mfn8fx48cRFxeHHTt28Dalio18yH6TkpKwfft2n2MjTXDBCCY8bIQIz747xHcoZ6ZH1alz0dBtDB5+zsQtjY0KtN4jlLV5gUuu7Vbfv+tjY+F2uuF2uqFSqSWndVVqtc9PpLjh00347s/V+Pf/dONanrVUglqthkajgV6vR2xsLGJiYqDVaumWEY/HA7fbDZfLRRvjVVVVYdeuXaitrUVSUhLGx8fxhz/8ATU1NWhtbcXCwoKkm2UmP/7xj9HQ0ID4+PiA7qVMKIrCgw8+iPz8fMTFxeGKK65AW5vveqDD4cBXvvIV2k9pz549GBmRPu8xOm4FRTIzMwODwYD8/HysX78+4FQBseIjZiK1mMiHWEOsXbsWJSUloicWAPIID8B/58nH60eiJ0p64UwpNBr/49F88FY/sVEeO4jVRDgmWxfmaQH4XgQXFpZSb0XFSRgeWvaZsVvtSExLwszoUoWeWqvx6fshAsSXfgtEJCMgLsSuFQkt5U5ISEBCQgJKS0tRWloKrVaLP/3pTzhx4gSys7NxzTXXYN++fdi/f7/oY3Y6nfj4xz+O+vp6PPnkk4Ke89Of/hQ///nP8dRTT2HdunX40Y9+hKuvvhpdXV30jf29996L1157DS+88AIyMjJw//3348Ybb8TZs2clNe+vKvFhLv5XV1ejoCB4ikKo+EiZSC0k8mGa1W3ZsgVZWVmiG0cB8cIDLH1xg901qgWeNNnZ/nOvmKQnhqfJ8MUTedBqhYvfC63Lc+n2b+qU9VjkstBeCewOCrEx3J8jX+qNve7DRWJKAszzFszPzEEXo6dTbWrtB+utH4gQWVskUbcQEVpp4WEjpYKOr8GVWbSQmpqKz3/+83j33Xdx66234sorr8Qbb7yB48ePSxIfYr3w1FNPCdqeoig88sgj+Pa3v017+Dz99NPIycnBc889h3/5l3/B/Pw8nnzySfzpT3/C7t1Lo5qeeeYZFBUV4e2338Y111wj+jhXjfh4PB60tbVhdnZWsB01IEx8pE6kJpEPXyk3qZgxmUyoq6sTXFjARorwEMgXmEuEhApPJHFSehw4mUH/LkZ4mHgp4PnmSgDAJzfLK0J8RKLo4JTBiR1bglduktQbF2JG7PSO+6ace7qMqFi/ZOTEXPeJiY+Fw2qHLmbp2Ngi5HGx1yGDi9BKrQEJhXwvpTi4cnkVnT9/Htu3b8fOnTt9nEjDzfnz5zExMUHPggOAmJgYXH755Th27Bj+5V/+BWfPnoXL5fLZJj8/Hxs3bsSxY8dWv/jwXYzJIr1arRZtRx1MfEKZSM08mdhhp91uR2NjI1QqFerq6qDX60UXFgChCQ+Bb92HXel27OQcNm5M9XksUim3v7y/VLar1cqf3ycidOuW6LEJ//OpPNy6Y3ylD0MwxYUxGBpZmlBx9vgQXWYNLEc/RIAAQBejh8Nio7dhpt4A8anfaBUiIcLDhis99/zzz9PDTSMNcThl+/3k5ORgcHCQ3kav1/u5AeTk5Ah2SGUT9avGJpMJx44dQ3JycsDFfz4CiY/JZMLx48eRmpqK7du3i+4F4ivlXlhYwIkTJ5CQkIDt27f7VLQJLSwAwis8QmgdCn/D21/eT6OFJ9w8d7Y8Iq8TDbzSmB98IwZ/+id3JqG5ec7vseT0REyNmnj35bTZ4bTZOc+zUIoQ6H2sQCECF1KEh41arcaBAwdw33334ZVXXsF9993Hud2DDz5IXzv4fs6cORPSsbCvS0Ka80Np4I+qyIfN8PAwOjs7sW7dOhQXF0t6k3ziQ/a9fv16yYNByd2Lx+OhTe9Is+uaNWtQVlZGh9Wk7FsIcogOgZ12Y18QKmrX+z2HMDho4/1bqLz0Xiz0enkuHhoRuyEC9KltfbK8driIlhE7OXn8d+IDHaMAgKS0RDjtDuhjYxATHwuPywXPB2s97PQae+2H+TexrGQEJIfwAMCrr76KL33pS3j++edx3XXX8W4n1MlUCrm5uQCWohumMdzU1BQdDeXm5sLpdMJkMvlEP1NTU4JM6riIKvEh4uL1etHZ2Ynx8XHU1tYiIyMjyDP5YYsPGTo6NjYW8r5J+oyEzufPn0dfXx82b96M7OzsiK/vBIIUH7C/6Bs2ZyIrLXLVbC+9Fx3z4Z47Wx71AhSN5OQlYXJ8qdItPjke1gUrjJNL836cdgfcH6z1aLQaWoCAJbHhmngglQtBeN544w3ceeed+OMf/4g9e/YE3Faok6kUysrKkJubi4MHD6KmpgbAUsXc4cOH8fDDDwMAtm3bBp1Oh4MHD+LWW28FsFwZ/NOf/lTS60Zd2s3pdOL06dMwmUyor68PSRwAX/FxuVw4e/YsZmdnZdk3sCRALpcLLS0tGBoaws6dO6NOeADu9JtG53vvwV7vCYWkGN/hn68e9kSN8BDCkYZ7frBO9n2Gk/i4pfMiJUWPt08uXdCLMnynj/Ol3gg6RrpaG7P8/xrt8pgdPuGRGvWsVNpNLuE5ePAg7rjjDvz+97/HzTffLMs+CUNDQ2hqasLQ0BA8Hg+amprQ1NQEs9lMb1NZWYkDBw4AWLrpv/fee/GTn/wEBw4cQGtrK+644w7Ex8fjU5/6FAAgJSUFd955J+6//3688847aGxsxKc//Wls2rSJrn4TS1RFPjabDceOHUNqaiq2bdsmy6hyIj7sidRyjUFXq9VobW2FWq32KSygKGpVCQ8bOVNurx4WdscbjmKDYPzhWBk+tUvagunFBCk2YEOiH51eD5dz6YZDG6OnIyDKS0GlUnOOcZIqPEzIuR2JSEgu4Tl06BBuu+02PP7440FTaVL4f//v/+Hpp5+mfyfRzLvvvosrrrgCgL+T6Te/+U3YbDbcc889MJlM2LlzJ9566y2fyt9f/OIX0Gq1uPXWW2Gz2XDVVVfhqaeeWv1OpgAQFxeH9evXIzc3VzZPC41Gg8XFRZw4cQJFRUVYt26dbPteXFyEy+VCUlISamtradtdIPKFBYFgfzE1Op3fF5+r0i0UFh16vHtC/jUjrgZThfBQmKfFyPhSP8qc0YbUdOEDWLUxetgXl6eih1rtFojVJDxHjx7F/v378cgjj+Azn/lMWLx7nnrqqaA9PmzfNJVKhQcffBAPPvgg73NiY2Px2GOP4bHHHpPhKKMs7aZSqZCXlyfbPwhFUVhYWIDRaER1dTXWr18v276npqZw4sQJ6HQ6eqGPOdcpWoSHjUa3PBxybU1F2F6HLTwxMVF1n+PDc+/nSn7u+fHo65X6/VvpmJ4OPBaHj7dPev0sFQgDPTOcj8cnL1VFkvSbw2KDw2LjrXaTk9UkPCdOnMDHP/5x/Od//ifuvPPOi8Y0jo+oEh8gNFsFJl6vl27wTElJ8bFCCAVSWGAwGLBp0ybExsbC7XbTJYdiKtpWUniYHDs55/P7qePS01BvHlrEm4cWg28YZYQiQFyEw0L7mXdTZd+nEJgVbwM9M5gdXyqzZq77EHSsdgWVWuVb2caodmP/TQrhLrt+84Xtsuzn7Nmz+NjHPoYf/OAHuOeeey564QGiUHzkwOFw4NSpUzCbzSgvLxcsCMEggjYwMIAdO3YgJycHOp0Ovb296O/vh9lsFmQDHmnRIZCF30ALwKGwGkUnHAgtOvjzqbzgG8mI3cEwFwxw7Tt1mr+Hhw+n3QHbohm2RTM0Wg1dbEC/ngj7DqnILUAPfNGM9957D21tbZiampI88NNgMGDv3r349re/ja9+9auK8HxA9OZCJDI/P4/GxkakpaVh48aNmJ6eDtltFFiqwmtsbITH40FdXR1iYmLg8XiwceNGGI1GTE9P4/Tp09DpdMjOzkZ2djZSU1P9TrSVEB6uL6U+bim10tM97/O41Kgn2oXH7fa/KXA4fC+Gz72fu6LFB0LtFISO2JGb1IwEzM0uOZbOjpvoaQbuD5xLNTodPC4XvT0ptw50oxOtaz9vvXgJbZlN/HhsNhvS0tKQlZWFzMxMQa6jra2t+OhHP4r77rsP3/jGNxThYRB14qNSqQRFD1yQydHMidRyWF0Te+7k5GRs2rTJp7BAr9cjLy8PeXl58Hg8tBAZDAYAQFZWFrKyspCRkYHrPnUupOOQAp/wlG4oE7yPYENFjxyZRmwcd0qPD7kaTOXmufdz8dGd5uAbSuS95siLhhROnTZhxyXckyfik+JhXbTS43S0Oi2vAAUSl2gWHmDZHC49PR3r16+HxWKhLe27u7sRHx9P999wmcN1dHTgox/9KO655x58+9vfVoSHRdSJjxSYbqbsidRS3UYJREhKSkpQXl7uZxjFRKPR0GJTVVVF3zV1d3fjB48FvoCHC/aXMiZhqWJpqHMIxZW+kx2ERj3Ey+fIkaVJyGKFRyihDBW92JDDViElRY/5eSdS0mIxb7LTlW5C4BIg4mjKLDKI9mq3QMUFxAahpKSEtrSfmZlBS0sLvF4vMjIyMDU1herqalgsFtx4442444476NE4Cr6sevFhTqTmcjPVarWSxIeiKAwODqKnpwcbNmygIxuhjaMqlQppaWnY/8VeACsjPGyI8CRnpiE9J9Xnb9bF5eqonPzAE8NnjF50tM3KfnzRwp/fjcWtV0qrFpOTlR6x090+hXXVga1FmMNECU4b/2dHl1xDnjXHSAkPG6alPamqnZmZwaOPPop3330X6enpWLduHfbv368IDw9Rl/sQ8w9ls9lw8uRJuFwuXjdTKWk3r9eLtrY2nD9/Hpdccolo4SGsVGEBFzEJcbTDpNm0ENK+ggmPPnbV39OEzMtvh8ffKBi/fytd9HPIlAM2iclx6G73Fb/UjCWb5/gk//UOrU7rIzxc1WwU5QVFeWWpdFt6DXmq3UIpp1apVEhJSUF5eTl+9atfoaKiAjU1NcjOzsZll12G4uJivPXWWyEd34VI1ImPUIROpCbiI3Qdyel04syZM5ifn0ddXR2Sk5NXvfBodDo6BUIKDQBAHys+XXbulLyOmaEiZqioGP78bnSNApKC1F4fNk0nBwIOGI2JX/6suISACA1XtZscAsR8bSnI1cczNjaG66+/Hpdeein+8Y9/4MCBA5idncX//u//orq6OvgOLjJW5S2qmInUTNuDYGMgyAiepKQk1NTU+KwXrWbhYcNe6xFKtAmPQmSIT4pH08kB5BXzD7Z02hw+GYalIbZLYhPN1W5yCc/ExAQtPL/5zW/o9eCYmBhcffXVsrzGhUbURT6BLvBerxcdHR3o7u5GbW2tICsEIjjBUm8zMzM4ceIEcnNzsWXLFnpaNXDhCA8z6pkaWe5WH+ufDLifqSlHSMIjZLrBSsx1CwYz+gmXhXake31CYXxoBoNdY5ifmcfM2DSsixYszs5jcXapXJ99cxfJ4Z8rKTxTU1O48cYbsX37djz55JOSZ51dbKyayMflcqGpqQkOhwP19fWCauwBX88dPgYHB9Hd3Y3q6mrk5+fTFW1iRAeILuFRqdU+d5yxiUufF7E3Joz1TyI1i7/AoLd9FLGMtEpcQnQUTyj40z6bD0CeVBupeEtMjoN5gX9Gn0avhce5XBXHXGP1Ek8f1lw34MKJeGZnZ7Fnzx5UV1fj6aeflm1g8cVA9N1ucmA2m3H8+HF6crRQ4QEQsNfH6/Wivb0dfX192L59O/Lz8+HxeODxeERHO9EmPFy4HE4kZaT6RD2BYAvPSrMSQ0VDWftZqaKDQAidcsCGFBjo45bWVpljdDR63wuuRqOhhYcJcTG9UITHZDJh7969KCsrw3PPPUcbSioII+rEh33Bn56exokTJ5CTk4Pa2lpJdxZc4kO8fYxGI+rr65GSkrLqCwsAfvsEZsRjW7BArVYHTLf1to8Ker1w9fhEE9FQfMCe63bK4PTb5tjZ0KOelBThTbBcAuRyOP2iayZyVroB4lN7cgnP/Pw8brrpJuTk5ODPf/4zb8GTAj9RGyNSFIWBgQH09vZiw4YNIQ0GZYuPxWLB2bNnkZCQgJ07d/r8/UIUHkJSRipsC5aA+1icM2NxLnwd/hcDvb0r8/lNjMwhtzA17K+jj9PDafMXGDdjsgEX7Go3Oay0l/cVOV+fxcVF3HzzzUhOTsbLL7+MmBglFS2FqBQf0mczMzODHTt2ICUlcNNjMJjiMjs7i6amJhQWFqKiogJerzcqPXjEIsQwjghPQury4nmg9Z5wEenROkLmuikEh4zVYaLT62E2Lc8HJILCFJNAA0UjmYKTI+qxWCz4+Mc/Dr1ej1deeQVxccI9jhR8ibq0m91upydSk3RYqBDxGRoawrlz57B+/XqsW7cOFEXB6/XSVgirVXiApS8e80ej0/pMsNYGyUfPjM1gZkzYWlAgLtQG09fe8m/MjUYvH6nwNZoCS82mbMjaDwC/CdYAQ4QuIOGx2WzYv38/vF4vXnvtNSQkJIS8z4uZqLtSeL1eJCUlobKyUraSRbVajeHhYSwsLGDbtm1IS0u7INZ3+FBrNT6VbvrY5TULEvVYF5ZSQ8xUSQyruGAliw2kznULFZtV2th8Pl5+24OP7ZZ+Hoc6Ymd62o6sLGn/jqTiLRC2xaXziAiQh1FocCEJj8PhwG233Qar1Yo333yTc5qKgjiiTnwSEhKwYcMG2fbncrlgNpuhVqtRX1+P2NjYC154mDCFB1gWHcC370cIq6HMOpxDRV97awEf/Uiy7Pv986k86HUrm4Q4+s55eD8Qi4qN/NYOJPW2MD0HYKmCjSky0WajIIfwOJ1OfPazn8X09DTefvttWbIxClEoPnJitVpx9uxZqFQqFBYW0sIDrO7CAj6WusoZpbRqlU9ko4tRKnJWkmi0Uzj6znm/x3paR+FxLX1PmJVrfL1ybAGivJTfY8y/yUUkhMflcuFzn/schoaG8M477yAtjdtmQkE8UbfmI9cEWKPRiOPHjyMzMxMZGRmgKOqCKCzgg6vgQB0gbcmOetgpNyEIKbMWMt1gNcG19hMNvPyKeBO8I2/7Co9a5X8OMW9YmGlwdm8PaSR1MxpOSV8PYbUJj9vtxt13343u7m4cPHgQmZn844UUxBOVV4ZQDOUAYGRkBB0dHaisrERhYSE6OzsxMTEBjUaDnJwcwRUqq1l42JVuYqMeses9I31LPUNq1qRPrnU7do+HSq3CxtpCUa8HhG+oKJv5Of4O/0jwelM2AP7eGSZylVtrdBo6+uHdhjHdIFBvD18UFC6+f68bvb29yMzMREpKiqQbWo/Hg3vuuQdNTU04dOiQj0eYgjxEpfhIhaIodHV1YXR0FLW1tUhPT4fH40FJSQni4uIwNTWF3t5eJCYmIicnB9nZ2bwVK6tBePia64QIj8Piu5Dscvj2aNgWfEtqNTotFlhOCuwqJ7bwiKH13Ijvvjn2tXWHeIGKBkItOpAbu4PC6SMDgrfXxehpcWH3zGn0WthZ5ddsiPBwlWFLhXnuM6Og15/ZipmZGczMzKCxsRFqtRqZmZnIyspCenq6oCZ1r9eLr371qzhx4gTeffdd5OWtnvl7q4kLRnzcbjcMBgOsVivq6uoQFxdHFxbo9XoUFRWhqKgILpcL09PTmJqaQn9/P+Li4pCdnY3s7GwkJSXhmk+cWem3Igg+4VGpVT6LvWqNxu+ulF12zS5SCCehdLY3nRrxe2xbXeQFKVyFB3yYTMKiHqEc/2cvtDrur75apaYLD/iiH6YAOSy2JbsEHkHhs1GQMwVHJmiTVBuxtfd6vbSbcE9PD+x2O9LS0mi34dhY/+je6/Xi/vvvx6FDh/Duu++iqKhItuNU8OWCEB+r1Ypz584hJiYGO3fu9HEvZRcW6HQ65OfnIz8/n7bCnZycxJkzZ/Cf/7M6yicDCU8wgvX7ANypMr9tBAiW1FJ5rqiHj7MnlgUpkkIkd4/P2eND2FbPPaW9u2UE6zb5v7dTBid2bIlMEQMz+gGWRIcJW1AiVWZN4FrjUavVSE9PR3p6OtavXw+LxYLp6WlMTEygq6sLiYmJyMzMREJCArKzs6FSqfDAAw/gjTfewKFDh1BaWir7cSosE5XiI2bNx2Qy4dy5c8jLy8P69esBQHBhAdMKdzWk2QBxwhOo4IDeRoiI8NwlRxtEiGp2hl+EWltM2LjJv/KJb7RONFa6iYUpQPHJiT5l+8DyORiozDocvPn8NkHbJSQkICEhAaWlpXC5XJiZmcH09DQeeughvPnmm6isrERnZyfeffddlJeXh/moFaKu2k0Mo6OjOHPmDCoqKlBVVeVT0XahllL7P8Y9pJFMD2b/BENqtCJ1vUdOJ0tC48kR+kfB19H0+D97AQBuF38zLbPqTaPjPh9sZivnUM9g/T1yRz1ChYeNTqdDXl4eNm/ejF//+te4+eabMTY2hsTERNTV1eHGG2/Eyy+/LOuxiuWhhx6CSqXCvffeu6LHES5Wxy0tC4qi0N3djeHhYdTU1CAjI0NS4yiw+oWHc1uOklmyLbPvR8VwaiVo4oNXAgpJuXEeVxiEJhhnjw8DALZcshwNrcRct5kpGzKzuT/bljOhiSS7zDqcA0YdVhu8LAEhay6RaiwlSBUeJhRF4dFHH8WBAwfwz3/+E5s2bUJnZydee+01GI1GGY5SGqdPn8Zvf/tbbN68ecWOIdxEpfgEEg+3243m5maYzWbU1dUhISHhgp5YAPCn2thfaJVaFVB4gu1TrVbBafetglOp1HSqhRjSCSHa3BwNp0d8BIgLMaN1FoxmHDtsRsPl8i1IB1r3kQMS9YiFFB6QAaJqtcpPgFaz8Dz66KM4ePAgfaGvqqpCVVVVyPuXitlsxm233Ybf/e53+NGPfrRixxFuVlXazWaz4eTJk3C73di5cyfi4+MvaOGRYkNMUV6fHzHCEwy72Qq72QrrgtnnJ5QSazZiig3EYjg9AsPp1ZmK626R/7iFpt7mp4w+k6uBpfOFnDOeAFYK0Sw8TzzxBH7605/iH//4B7ZtC32fcvHlL38ZN9xwA3bv3r3ShxJWojLy4cJkMqGxsRE5OTmorKwEgItufSfw9vzrPv7bCtynwCjKMu+/yJ6cHnz+1Uqk4QCg7ewwNmwTFrEEazA9dnhYUPQz3DeJ4T6gpr5U0OsSTr7XH/DvXKZyXExP2+Gw2kVPspifCpx64nIsJUSz8Dz55JP44Q9/iDfeeAM7duyQ4cjk4YUXXsC5c+dw+vTquE6FQlSKD1tIxsbG0NbWhnXr1qGoqAher5euhlOLuEivFuERC5/w8MG+YGj1/qdBKOk7AFgw+t4pp2Sm8h7PStB2dmktSKgIrXbaTopPuZHhoXyQUTrkXGHPd5MbuYTnj3/8I77zne/g1Vdfxa5du2Q4MnkYHh7G1772Nbz11lucPUgXGlGddiOFBe3t7di6dSuKi4vh9Xp9PHiEslqER0yqTQ47YpVaBY/b4/cjNwvGeb+fcMNel+CCiFAoHDsc+j6k0ny8J6Tn86Xe5j6IePhuYpgz3Ahklls0C8/zzz+Pf/u3f8OBAwdwxRVXhH5gMnL27FlMTU1h27Zt0Gq10Gq1OHz4MB599FGf3sULhaiMfIClwoKWlhYsLCzQhQVu99IJL7aiDVhuQosGEWKLCxkPIibVFkx0/CyLBUYyBLYlMteIHrGpwWiAq2O/7eww1lRFxwgVuYoO+CrehKTe5lipNvZsNi7hIYSjx0cO4QGAl156Cffeey/+8pe/4KqrrpJln3Jy1VVXoaWlxeexz33uc6isrMS///u/R10RT6hEpfgQN1ONRoO6ujrodDp4PB5QFCVJeJgwO6FXQoi4S6ZDX98JuL3QRZ4AsO+Q+cazcL4+z/HOz8z5/K5WqZGanSr20GShu3kY6zaHPwXXeHxA9LoPgW/SgXF8Ful5GbzPE5NyM00uudmyzxkiQKtVeF555RV86UtfwvPPP4/rrrtOln3KTVJSEjZu3OjzWEJCAjIyMvwevxCISvGxWCxISUkJqbBACJEUIrmiBDmFh+39w/+a/vtgipGcPkFzU3P0/0dKiMh7ESpAC0b/Aotjh4eRXSDe6yXUHh8psKMft8sNrU5LCw+wFDmzz53VKjyvv/46vvCFL+CPf/wj9uzZI8s+FUInKsUnMzMTycnJdLQDiCsskAJ7NpQUMSIXabbXyGpIT/EJkZBjZw8uZYqRULHk8pJZCSEKRwQ0/IHdRDTDFB4CU4ACWSZEs/C89dZb+NznPocnn3wSN998syz7jCSHDh1a6UMIG1EpPkajETExS2Znckc7QhEbFTEv0uEUG67G0oDbC1j7CfQalNcjeuo180KlVquglSEyEitEQooN+JAqQH2twyjfGLnqOWaxAVfqbWJkDuN9I35W6lx4vRRnr9dqTrW9++67+PSnP43HH38c+/fvl2WfCvKhokJxbQsTn/zkJ3H48GF89KMfxU033YSGhgZBPhyRgi1GKxXZhFzpJmEtSIwQcV3M+ISIK/IRCpcYcYkPnzkaV8WXy+lE4dp8zu250m4AsGgyc4oPV+RD1n340m7b6ot5e3zIug+70o1r3SeQ+JDU2/yMiX6M/W9GbiS4zpVoFp4jR47glltuwSOPPILPf/7zK3IDqxCYqMwHPf300/j9738Pt9uNz3zmM1i7di3+9V//Fe+88w5cAbqpI8Xzj6/BA18044mfpK/YMcjRoMmchCD0NSmv1+eHD76JCW6H0+cHCE14gKWoiBkZiSFQl/9I75jo/fW1rlzZNZvxviVhY49MYsIUHsBXtJkRLPs8kSI8wc4buYTnxIkTuPXWW/Hwww8rwhPFRE84wUCv1+P666/H9ddfD5fLhcOHD+P//u//cNddd8HlcuGGG27Avn37cOWVV9LpuUgxOjqKzs5OVFVVIT8/H2+96Dt6/ZpPng37MYRjMgDtNskjBHyvybyQSIkA3YwLnJD0UCCYApScGXzCghBGesd4I6DVhNNu9/t8TRMznJGs10vxjsyhKK+kPh624LDPm78/WyN6n1ycOXMGH/vYx/CDH/wAX/rSlxThiWKiMu3Gh8fjwdGjR/F///d/OHDgAMxmM6677jrs27cPu3fvRlxc8InMUqEoCn19fRgeHsaWLVuQnh486pFbiMI9jkas8ARC6uRrJlLFyMu4Q0/NWq5A40q78aXc2DAFiCvttmjyfYyZfuMrOKipLw1Y7cYXlfGl3QDf1BuJfAjsz5P48bAFiHlDwP63l0N42HzrSxYAoO2uMzIyJKXZm5qacMMNN+Bb3/oWvvGNbyjCE+WsKvFh4vF4cOLECbz00ks4cOAAZmZmcM0112Dv3r245pprkJiYKOtrtbe3Y35+Hlu3bpW071CFaKWER67jCFWMxAiRlyONyLxoMufOCRUfYEmAAq33MBEiPsF6pQKJz4k3GxGf7H8eEvFhCw+BfI5sIzgiQG6eqraAVtkBmqSDCc9bL14CiqIwPz+PqakpTE9Pw263Iz09nba7FpLdaG1txfXXX4+vf/3r+Na3vqUIzypg1YoPE6/Xi7Nnz9IR0cjICK6++mrs3bsX1113HVJSpKdgnE4nDAYDKIrC1q1bodfL09MiRowiOYBTbBHCSkRFgYSIS3gA7jv2+KQEzm35xMflcCGDp5mTLT7AkgAFKrNemJ5Den4m599mR6eQks0fXRvHpgHAT4Ckig+Bby1HrMAQj59AcFlfA6DtrqenpzE/P4+kpCRkZ2cjKysLCQkJfsLS0dGB6667Dl/84hfx/e9/XxGeVcIFIT5MvF4vmpubaSHq6+vDhz/8Yezduxc33HAD0tLSBJ+cFosFjY2NdOdxuMZbBBKilZr8DKxOIQoW9fg+vrRtQkqSz+OBxAcApwCFQ3wA8AoQn/gAoO0PuJp/nTYHAG6L9WDCw0aIwPDBJzxsnE4nLUSzs7OIiYlBVlYWnYUYGBjAddddh9tvvx0/+clPwt4PqCAfF5z4MKEoCh0dHfi///s/vPzyy2hvb8fll1+Offv24cYbb0RmZiavEJlMJhgMBuTn56OioiJid1NMIVpJ4WGzWoRIivgQElKSggoPgSlAXMJDH1Mcf6RMpkZzCVAg8SHCQ2ALENN7hylARHgITAESKzyhIFR42Hg8HhiNRkxOTuKWW27B3NwckpOTsXXrVjz77LMhZTgUIs8FLT5MKIpCb28vLURNTU3YtWsX9u3bhz179iAnJ4cWmPb2doyPj9MWDivJtbedW9HX5yJahYiUCevjfNcIuMSH76LKfi6BLT7AsgAFEh/boplTQJh2BWzxIcJDYD+fLT7AsgCxTd+AJQFiC48Qokl42PT19eGzn/0sdDodzGYzneH40Y9+FHFjuIceeggvv/wyOjs7ERcXh4aGBjz88MNYv359RI9jtXHRiA8TiqIwMDCAl156CS+//DJOnTqFuro67NmzB319ffjrX/+K999/H/n50VViqwgRP3wTDfjmzvFdWEkEwLQM5xIeQkZeBq/42BaXH2cLCNsrhylAbPFhPp9LeIDA4gMIi/6Y6znRLDyjo6O45pprsHv3bvzmN7+BWq1GT08PXn31VezZswcVFRWyvI5Qrr32WnziE5/AJZdcArfbjW9/+9toaWlBe3s7EhK41xUVLlLxYUJRFEZGRvDnP/8ZP/vZz7C4uIjt27fTlXOlpaVRuYAZjUIEhF+M+IQo2DgdpggFEx4msYnxvOLDnnfGXjsSIz7AsgBJER+Py837WTLNA4UITChrOXzIJTwTExO49tpr0dDQgCeffDIqbQamp6eRnZ2Nw4cP47LLLlvpw4laLvrVOZVKhaSkJLzxxhvIz8/HkSNHsH//frzzzjvYunUrLr30UvzsZz9Dd3c3okmn//FsLf0TTYidmkB5KfpHCFyGd0LmuLkcTvpHDHazVfC2lvlF3r8x7agDOYRO9HNXqU0PjmN6cBwejvJr8hjX58h2rRUynSJahWdqago33HADLrnkEvz+97+PSuEBgPn5pehTSC/gxcxFH/kAwD/+8Q888cQTePbZZ+keHoqiMDMzg1deeQUvvfQS/vnPf2LdunXYu3cv9u3bh6qqqqiJiEgacWBgAA//PjoXXcMVEZGLrdCZc8wLKzMa4ltwZ4qcPm65si6QiCWkJPlEPUzI87jKxZljcAIVCgCA5oMeIS4xIoQjdSYWuYRnZmYGN9xwAyorK/Hcc89Bp9PJsl+5oSgKe/fuhclkwpEjR1b6cKIaRXw+gKIoXjGhKApzc3N49dVX8dJLL+HgwYMoKSnB3r17cdNNN2Hjxo0rVuJJURQ6OzsxNTWF2tpaJCUtp34uhtQcV8TEJ0R8F2NdjF6Q+ADLAsQnPmQsDddaE/s5TAHimr9G9hEtxQJikUt4TCYTbrzxRhQXF+Mvf/mLbL124eDLX/4yXn/9dRw9ehSFhf7GfwrLKOIjgYWFBfztb3/DSy+9hH/84x/Izc2lI6La2tqICZHH40FrayssFgtqamoCjhe6EIVISKqOKUR8F2SyH63ed+IAW3h8j4P7uNkz0YiA8ImVPjY24OBP5vH5Px65YgGxyCU88/Pz2LNnD7KysnDgwIGIz3IUw1e+8hX89a9/xXvvvYeysrKVPpyoRxGfEDGbzfj73/+Ol156CW+88QbS0tKwZ88e7Nu3Dzt27AhbXtrlcqGpqQkAsHXrVtFpiGgUIznsvnn3zTsYlfv0DxRtMaMkDeNz5xvGqYvRBzZjc3N7JrHXa6JNYPiQS3gWFxdx0003ISEhAa+++mpYZzeGAkVR+MpXvoIDBw7g0KFDEa+2W60o4iMjNpsNb775Jl5++WW89tpriI+Px0c/+lHs27dPVk8im82GxsZGxMfHY9OmTSEL3GoTIq5iBjHCRYQlUOREXoM9CYAvPafR6fgnQX/wOlyCxhYYIkLsx1cLcgmPxWLBzTffDLVajddffz2qS5bvuecePPfcc3jllVd8entSUlKiVjCjAUV8woTdbsc777yDl19+Ga+88go0Gg1uvPFG3HTTTbj00kslL5guLi6isbERWVlZqKyslL3oIdqFKFgVnRzRE9drqDWagB42lJfiFBcugSPbrVaB4UMu4bHZbPj4xz8Op9OJv//97z7rmNEI33fwD3/4A+64447IHswqQhGfCMD0JPrrX/8Kl8uFG2+8EXv37hXlSWQ0GmEwGFBaWhqR/qNoFCIxiImeyLZ84hYoegkkMAGjqyhOnYlFLuGx2+345Cc/ifn5ebz55pvKyJwLGEV8Iozb7aY9if7617/CbDbj+uuvx759+3DVVVfxhukTExNoa2ujTewizYUkRIEERujakBBx4eNCEh1APuFxOp349Kc/jfHxcbz99ttIS0sL/iSFVYsiPisI8SQiQjQzM4Nrr72W9iQiee4DBw4gJSUFmzdvRmYm9xTkSLLahYgLKdGLGJsBso0iPNy4XC7cfvvtOH/+PP75z38iI4PbukLhwkERnyjB6/XizJkztBXE2NgYdu/eDbfbjffffx9Hjx7FmjVrVvow/bgQhEiu6OVCFRg+5BIet9uNL3zhC2hra8O7776L7OxsWfarEN0o4hOFeL1enD59Gp///OcxODiI5ORk1NTU0J5EqampUTNdgclqFCIlbSYNuYTH4/HgS1/6Es6cOYNDhw4hNzdXlv0qRD+K+EQh8/PzuOmmm7C4uIi//e1vmJmZoa0gOjo6cMUVV9CeRBkZGYoQBUFMJVrwfSnC8+DXXLSzaHJysuTzz+Px4Ktf/SqOHj2KQ4cOoaCgQOYjVYhmFPGJQsbGxvC9730Pv/jFL+hZc8BSM1tPTw8tRAaDAR/60Iewd+9eP0+ilcZms+HcuXNISkrCNx/mnz8mF2JLnRXhkcYbz9ZgdnYWU1NTmJmZgUajoYUoLS1N8HQPr9eL++67DwcPHsShQ4dQUlIS5iNXiDYU8VmlUBSF8+fP46WXXsKBAwdw6tQp1NfXY8+ePdi7dy8KCgpWTIjMZjPOnTvH2YsUjohIToHhfw1FeNipNq/XC5PJhKmpKUxNTcHr9SIrKwtZWVnIyMjgbar2er144IEH8Morr+Ddd99FeXl5JA5fIcpQxOcCgKIoDA8P4+WXX8aBAwfw/vvvY/v27di7dy/27t2LkpKSiAnR/Pw8GhsbUVhYiPLy8oCvK1SIpPbRyIUiPMHXeCiKwsLCAi1Edrsd6enpdFREhoF6vV78v//3//DCCy/g0KFDWLfu/7d3p0FNnW8bwC+KtQjiiqSlFmWpA24g0aIgoq0Li0CijuBWsZUZlCqo4zYu1drKuFVb/wVHqUtFLQIhCMoSFFErnaKAK2ItIi2QxDgaFFkkOe8Hh7xSlbIcchJy/2b8wAEOl9jm4jzn8NyDtBGf6CAqn06GYRhUVlYiKSkJIpEIFy5cwPDhwzVFZG9v32FF9OjRI1y7dg329vawtrZu1ee+rYi0US7NoeJp28MF1dXVkMvlePjwIaqqqhATEwNHR0fU1NQgLi4O2dnZGDx4cAekJfqCyqcTa5xJJBaLNTOJHBwcNEXE5kwimUyGmzdvsvJLsI1FxHXxvMxg2OXDxlNtNTU12Lt3LxITE3Hr1i0MGjQIQUFBEAgEcHJy4vQ+ZVRUFHbs2IHKykoMGTIEe/bsgYeHB2d5DInBTzLtzIyMjNCvXz+EhIQgLS0NUqkUy5cvR2FhIcaOHYuRI0fim2++wfXr16Fux4tseXk5bt26hWHDhrGy+0LjhNaME/x2n6ut/mvapyFg63FqExMTdO3aFeXl5cjOzsbGjRtx+/ZteHh44OjRo6x8jbaIi4tDREQE1q1bh4KCAnh4eMDb2xtlZWWcZTIkdOVjoJRKJVJTUyESiZCeno4PPvgA/v7+EAqFGDFiRIufWiotLcX9+/fh5OTU4WODp8y62qHnb2TopQOwVzwMwyAqKgpbt25FRkYGPvnkE837amtrwTAMZzs/u7q6wsXFBdHR0Zpjjo6OEAgEiIyM5CSTIaHyIXj27BnOnDkDkUiEM2fOoE+fPvDz84NQKMSoUaPeOLKBYRjcu3cP5eXlcHFxQY8ePbSauaOKiIqH3eKJiYnBxo0bkZaWBjc3N1bOy4b6+nqYmpoiPj4eQqFQczw8PByFhYXIycnhMJ1hYGfADNFr3bt3x8yZMzFz5kw8f/4cmZmZSExMxPTp02FmZqaZSTRmzBh06dIFDQ0NEIvF4PF4GDVqFCezVl5dkmOriKh42C2eI0eOYMOGDUhJSdGp4gEAhUIBlUoFHo/X5DiPx4NUKuUolWGh8iFNmJqaQiAQQCAQoLa2FllZWRCJRJg9eza6dOkCHx8fFBcXQy6XIzc3VyeGfLFRRFQ87GEYBsePH8fq1auRnJwMT09PriO91b8fdmAYRmd+UbuzM9gHDurq6uDs7AwjIyPNOGrSlImJCaZOnYqDBw9CKpXiwIEDkEgkKCoqQm1tLVauXImMjAzU1dVxHVUj4wRf86elqHheYuuqJyEhAcuWLUN8fDw+/fRTVs7JNgsLCxgbG792lSOXy1+7GiIdw2DLZ9WqVZzMxdFXVVVV+O677+Dg4ICSkhLExsbCzMwMX331FWxsbBASEoLU1FTU1NRwHVWjJUVExfMSW8UjFouxePFinDhxAl5eXqycsyN07doVfD4fEomkyXGJRKJzS4SdlUGWT1paGjIzM7Fz506uo+iN0tJSODg44PTp0+jduzfGjx+Pn376CWVlZUhNTYWlpSVWrVoFGxsbzJ8/H0lJSaiuruY6tkbGCT7Sj7vgpy3/PxmTiucltoonNTUVISEhOHr0KPz8/Fg5Z0davnw5YmJicPDgQRQVFWHZsmUoKytDaGgo19EMgsE97SaTycDn8yEWi2FhYQEbGxsUFBTA2dmZ62h6r3EURON+cxUVFZg0aRIEAgG8vb1hbm7OWTaGYXD37l3Nv7+ZmRkmB+ZxlkdXsFU8GRkZmDdvHn7++WcEBgayck5tiIqKwvbt21FZWYmhQ4di9+7dGDduHNexDIJBlQ/DMPDx8YG7uzvWr1+P0tJSKp8Oolarce3aNc0O3KWlpfjss880M4l69uyptRu7DMOgqKgIjx49Ap/Ph6mp6WsfY4hFxFbxZGdnIzAwENHR0Zg7dy7dsCct0inKZ9OmTdi8eXOzH5OXl4fLly8jLi4OFy5cgLGxMZWPljAMg1u3bmmK6M6dO5gwYQIEAgF8fX07dCaRWq3G7du3oVQqwefzYWJi8p+fYwhFxFbxXLx4ETNmzMCePXvwxRdfUPGQFusU5aNQKKBQKJr9mIEDByIoKAgpKSlN/gdRqVQwNjbGnDlzcOTIkY6OavAal78SExM1M4k8PDw0M4ksLS1ZewFTq9W4ceMGqqurwefz8d5777X6HJ2xiNgqntzcXAiFQmzbtg2hoaFUPKRVOkX5tFRZWRmqqqo0b1dUVGDKlClISEiAq6sr+vfvz2E6w8MwDEpKSjT3iPLy8uDm5qaZSWRlZdWuKZnXr19HXV0dXFxcNFv6t0dnKCK2iufKlSvw9/fHN998gyVLllDxkFYzqPL5N1p20x2vziQSiUS4fPmyZiaRQCCAtbV1i1/gVCoVCgsLoVKpMGLECLz77rus59XHImKreAoLC+Hr64t169ZhxYoVVDykTah8qHx0zqsziRITE3Hx4kUMHz4cAoEAAQEBzQ6pa2hoQEFBAYyMjODs7PzWaZps0ociYqt4bt68CW9vb6xYsQJr166l4iFtZtDlQ3Rf40yixiLKzs6Gg4ODpoheHdP9+PFjFBcXo2vXrnBycnrjhqgdTReL6H9beoLH46FHjx7tKouioiJ4e3tj0aJF2LRpExUPaRcqH6I3GIbB48ePkZycDJFIBIlEAltbWwQEBGDs2LFYunQpZs2ahTVr1rR4JERH0oUiit07QDNR1NjYGJaWlrC0tESvXr1a9T26e/cuvL29ERwcjK1bt1LxkHaj8uFQaWkptmzZgnPnzkEqlcLKygpz587FunXrWLlB3tkplUqkpKTg2LFjyM7Ohq2tLby8vDBt2jQ4OzvrRAE14qKIXl1qU6vVePz4MeRyOeRyORiGQb9+/WBpaYm+ffs2+70qKSmBl5cXZs6ciZ07d+rU95XoLyofDqWnpyMuLg6zZs2Cvb09bt68iZCQEMybN4+2/mmhxl9edXd3h4+PD5KSknDmzBlYWFg0mUmkSy+Y2iii5u7xMAwDpVIJmUwGuVyOFy9ewMLCAjweD3379m1yn+zBgwfw8vKCn58ffvzxR536PhL9RuWjY3bs2IHo6GiUlJRwHUUv+Pv7Y8CAAfjhhx80L4zPnz9HRkYGEhMTkZqaiu7du8Pf318zk4iLe0Fv0xFF1JqHCxiGwdOnTzVXRDU1Nfjzzz/R0NCAcePGYfbs2Zg0aRKio6OpeAir6L8mHaNUKjt8HHVncuzYsdd+Ijc1NYVQKERsbCykUin27duHmpoazJo1Cx9//DHCw8Nx/vx5vHjxgsPkL2XGjUL8/kFYG/qMtfO1hpGREXr06AF7e3u4ublh9OjRUKvViImJgbu7O2prazF8+HDIZDJW8rGptLQUX375JWxsbNCtWzfY2dnh66+/Rn19PdfRSAvQlY8O+euvv+Di4oJdu3Zh4cKFXMfpdF68eIHs7GwkJCQgOTkZKpUKU6dOhUAgwPjx4zm5z6ZUKpGfnw9bW1sMGDBAc7wtV0RsPU4tl8vh7e0NR0dHuLu7Izk5GZcvX0ZQUBBiY2NZ+RpsoGVr/Ubl0wFautfcyJEjNW9XVFTA09MTnp6eiImJ6eiIBq+hoQEXL15EQkICxGIxnj9/Dl9fX/j7+2PixIkt2gOuvd5WPP/WkiJiq3gUCgV8fX3h4OCA48ePa35BVyaT4f79+xg9ejQrX6ej0LK1/qDy6QAt3Wuu8QWuoqICEyZMgKurKw4fPkxr61qmUqlw+fJlzTY/T548wZQpUyAQCDB58uQ37oLdXo3FY2dnB2tr6xZ/3puKiK3iefz4MaZOnYoBAwbg5MmTevnE5fr165Geno4rV65wHYX8ByofjpWXl2PChAng8/mIjY3VqZvhhqhxJlFCQgKSkpIglUo1M4m8vLxYmUnU1uLpSEqlEn5+fuDxeBCJRG3ahJVrtGytX6h8ONS41GZtbY1ffvmlSfG8//77HCYjwMsiKiws1BRRaWkpJk6ciICAAPj4+LRpJtGTJ09QUFCgU8Xz9OlTCAQCmJub49SpU1pZcmwOLVsbBiofDh0+fBgLFix44/von0W3MAyDmzdvaoqouLi4yUyiPn36/GcR6WLxVFdXY/r06TA2NkZqairMzMy4jkTL1gaCyoeQVmIYBsXFxZqZRNevX8e4ceMQEBAAPz+/N84k0sXiqampwYwZM9DQ0IAzZ85wOua8rWjZWn9R+RDSDq/OJBKJRLh69SrGjBmjGY5nZWWFs2fPIjc3F8HBwfjoo4+4jgwAqK2tRVBQEKqqqpCRkYGePXtyHanVaNlav1H5EMIShmFQVlammUmUm5sLZ2dnFBUVYdGiRdi8ebNObMhZX1+PuXPnQiqVQiKRoHfv3lxHahNattZvVD4EUVFR2LFjByorKzFkyBDs2bMHHh4eXMfSawzD4NSpUwgKCoKjoyNu3LgBJycnzSgIW1tbToroxYsXmD9/PkpLS3H27Fn07dtX6xkIAWh7HYMXFxeHiIgIrFu3DgUFBfDw8IC3tzfKysq4jqbXcnNz8fnnn+P777/H1atX8c8//yAkJAQXL14En8+Hm5sbtm3bhjt37mjtp/SGhgYsXLgQ9+7dQ2ZmJhUP4RRd+Rg4V1dXuLi4IDo6WnPM0dERAoEAkZGRHCbTb/n5+cjPz3/t901enUmUmJiIrKws2NnZwd/fH0KhEIMHD+6Qp7VUKhVCQ0ORn5+P7OxsuidCOEflY8Dq6+thamqK+Ph4CIVCzfHw8HAUFhYiJyeHw3SG4cmTJ0hJSYFIJEJGRgb69++PgIAACAQCODk5sVJEKpUKS5cuxaVLl3D+/Hl8+OGHLCQnpH1o2c2AKRQKqFQq8Hi8Jsd5PB6kUilHqQxLr169MG/ePCQlJUEmk2HLli2aGTrDhg3D2rVr8ccff0CtVrfp/Gq1GitWrEBOTg6ysrKoeIjOoPIhr934ZhhGJ57KMjTm5uYIDAzEyZMnIZPJsGvXLigUCggEAjg6OmLlypX47bffoFKpWnQ+tVqNNWvWID09HVlZWc1uXkqItlH5GDALCwsYGxu/dpUjl8tfuxoi2mVqaopp06bh2LFjkEqliIqKwvPnzxEYGIhBgwYhIiKi2ZlEarUaGzZsQFJSErKysmBra6vlvwEhzaPyMWBdu3YFn8+HRCJpclwikcDNzY2jVOTfTExM4Ofnh0OHDkEqleLw4cMAgODgYNjb22Px4sWQSCSaIWoMw+Dbb7/FiRMnkJWVhUGDBnGYnpA3owcODFxcXBzmzZuHffv2YcyYMdi/fz8OHDiAW7du0TKNjmucSRQfHw+xWIyamhr4+vpCpVIhKysL586dw7Bhw7iOScgbUfkQREVFYfv27aisrMTQoUOxe/dujBs3jutYpBUaZxIdPXoUR44cQWZmJjw9PbmORchbUfkQ0smoVCraYJPoPLrnQ0gnow/FU1dXB2dnZxgZGaGwsJDrOIQDVD5E50RGRmLUqFEwNzeHpaUlBAIBiouLuY5FWLRq1SpYWVlxHYNwiMqH6JycnByEhYXh999/h0QiQUNDAyZPnozq6mquoxEWpKWlITMzEzt37uQ6CuEQ3fMhOu/hw4ewtLRETk4OPQih52QyGfh8PsRiMSwsLGBjY4OCggI4OztzHY1oGV35EJ2nVCoBAH369OE4CWkPhmEQHByM0NBQjBw5kus4hGNUPkSnMQyD5cuXY+zYsRg6dCjXccgbbNq0CUZGRs3+uXLlCvbu3YuqqiqsXbuW68hEB9CyG9FpYWFhOH36NC5duoT+/ftzHYe8gUKhgEKhaPZjBg4ciKCgIKSkpDTZN7DxsfA5c+bgyJEjHR2V6BAqH6KzlixZArFYjAsXLsDGxobrOKSdysrKUFVVpXm7oqICU6ZMQUJCAlxdXemHCwPThesAhPwbwzBYsmQJkpKScP78eSqeTsLa2rrJ2927dwcA2NnZUfEYICofonPCwsJw/PhxJCcnw9zcXLPrds+ePdGtWzeO0xFC2EDLbkTnvG2W0KFDhxAcHKzdMISQDkFXPkTn0M9DhHR+9Kg1IYQQraPyIYQQonVUPoS0UWRkJIyMjBAREcF1FEL0DpUPIW2Ql5eH/fv3Y/jw4VxHIUQvUfkQ0krPnj3DnDlzcODAAfTu3ZvrOIToJSofQlopLCwMvr6+mDhxItdRCNFb9Kg1Ia3w66+/Ij8/H3l5eVxHIUSvUfkQ0kJ///03wsPDkZmZCRMTE67jEKLXaIcDQlpILBZDKBTC2NhYc0ylUsHIyAjvvPMO6urqmryPEPJ2VD6EtNDTp0/x4MGDJscWLFgABwcHrF69muYNEdIKtOxGSAuZm5u/VjBmZmbo27cvFQ8hrURPuxFCCNE6WnYjhBCidXTlQwghROuofAghhGgdlQ8hhBCto/IhhBCidVQ+hBBCtI7KhxBCiNZR+RBCCNE6Kh9CCCFaR+VDCCFE66h8CCGEaB2VDyGEEK37PxXJEtlVZGDDAAAAAElFTkSuQmCC" + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": "<Figure size 640x480 with 1 Axes>", + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "from matplotlib import cm\n", + "from matplotlib.ticker import LinearLocator\n", + "\n", + "fig, ax = plt.subplots(subplot_kw={\"projection\": \"3d\"})\n", + "\n", + "# Make data.\n", + "X = np.arange(-5, 5, 0.25)\n", + "Y = np.arange(-5, 5, 0.25)\n", + "X, Y = np.meshgrid(X, Y)\n", + "\n", + "f_hat = Model()\n", + "Z = f_hat.predict_mgrid(X, Y)\n", + "\n", + "# Plot the surface.\n", + "surf = ax.plot_surface(X, Y, Z, cmap=cm.coolwarm,\n", + " linewidth=0, antialiased=False)\n", + "\n", + "# Customize the z axis.\n", + "ax.set_zlim(-1.0, 1.0)\n", + "\n", + "plt.show()\n", + "\n", + "plt.contourf(X, Y, Z, cmap='Paired')\n", + "plt.show()" + ], + "metadata": { + "collapsed": false, + "ExecuteTime": { + "end_time": "2023-10-27T20:23:10.999680Z", + "start_time": "2023-10-27T20:23:10.873572Z" + } + } + }, + { + "cell_type": "code", + "execution_count": null, + "outputs": [], + "source": [], + "metadata": { + "collapsed": false + } + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}