{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Solving the wave equation fro c = 4\n", "# using sinusoidal basis \n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using backend: pytorch\n", "Other supported backends: tensorflow.compat.v1, tensorflow, jax, paddle.\n", "paddle supports more examples now and is recommended.\n" ] } ], "source": [ "import deepxde as dde\n", "import matplotlib.pyplot as plt\n", "from deepxde.backend import torch \n", "import numpy as np " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def pde(x,y):\n", " dy_xx = dde.grad.hessian(y, x, i=0, j=0)\n", " dy_tt = dde.grad.hessian(y, x, i=1, j=1)\n", "\n", " res = dy_tt - 16*dy_xx\n", " return res \n", "\n", "def func(x):\n", " return np.sin(np.pi*x[:,0:1])*np.cos(4*np.pi*x[:,1:2]) + 0.5*np.sin(4*np.pi*x[:,0:1])*np.cos(16*np.pi*x[:,1:2])\n", "\n", "def func_plot(x,t):\n", " return np.sin(np.pi*x)*np.cos(4*np.pi*t) + 0.5*np.sin(4*np.pi*x)*np.cos(16*np.pi*t)\n", "x = np.linspace(0,1,100)\n", "t = np.linspace(0,1,100)\n", "X,T = np.meshgrid(x,t)\n", "\n", "plt.imshow(func_plot(X,T))\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "\n", "geom = dde.geometry.Interval(0, 1)\n", "timedomain = dde.geometry.TimeDomain(0, 1)\n", "geomtime = dde.geometry.GeometryXTime(geom, timedomain)\n", "\n", "bc = dde.icbc.DirichletBC(geomtime, func, lambda _, on_boundary: on_boundary)\n", "ic_1 = dde.icbc.IC(geomtime, func, lambda _, on_initial: on_initial)\n", "# do not use dde.NeumannBC here, since `normal_derivative` does not work with temporal coordinate.\n", "ic_2 = dde.icbc.OperatorBC(\n", " geomtime,\n", " lambda x, y, _: dde.grad.jacobian(y, x, i=0, j=1),\n", " lambda x, _: dde.utils.isclose(x[1], 0),\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def output_transform(x,y):\n", " X = x[:,0:1]\n", " T = x[:,1:2]\n", " res = 0.0\n", " for n in range(1,5):\n", " res = res + y[:,n-1:n]*torch.cos(n*np.pi*4*T)*torch.sin(n*np.pi*X)\n", " return res\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "data = dde.data.TimePDE(\n", " geomtime,\n", " pde,\n", " [bc, ic_1, ic_2],\n", " num_domain=10000,\n", " num_boundary=360,\n", " num_initial=360,\n", " solution=func,\n", " num_test=10000,\n", ")\n", "\n", "layer_size = [2] + [100] * 6 + [4]\n", "activation = \"tanh\"\n", "initializer = \"Glorot uniform\"\n", "net = dde.nn.FNN(\n", " layer_size, activation, initializer\n", ")\n", "net.apply_feature_transform(lambda x: (x - 0.5) * 2 * np.sqrt(3))\n", "net.apply_output_transform(output_transform)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "layer_size_1 = [2] + [100] * 6 + [1]\n", "activation = \"tanh\"\n", "initializer = \"Glorot uniform\"\n", "net1 = dde.nn.FNN(\n", " layer_size_1, activation, initializer\n", ")\n", "net1.apply_feature_transform(lambda x: (x - 0.5) * 2 * np.sqrt(3))\n", "#net.apply_output_transform(output_transform)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Compiling model...\n", "'compile' took 0.000685 s\n", "\n" ] } ], "source": [ "model = dde.Model(data, net)\n", "\n", "model.compile(\n", " \"adam\",\n", " lr=0.001,\n", " metrics=[\"l2 relative error\"],\n", " \n", ")\n", "\n", "\n", "model1 = dde.Model(data, net1)\n", "\n", "model1.compile(\n", " \"adam\",\n", " lr=0.001,\n", " metrics=[\"l2 relative error\"],\n", " \n", ")" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training model...\n", "\n", "Step Train loss Test loss Test metric \n", "0 [7.44e+03, 1.05e-14, 6.21e-01, 1.62e-01] [7.51e+03, 1.05e-14, 6.21e-01, 1.62e-01] [1.04e+00] \n", "1000 [6.85e-02, 1.05e-17, 2.28e-03, 1.78e-04] [6.15e-02, 1.05e-17, 2.28e-03, 1.78e-04] [6.06e-02] \n", "2000 [2.66e-02, 2.03e-20, 3.16e-06, 1.23e-04] [2.50e-02, 2.03e-20, 3.16e-06, 1.23e-04] [2.08e-03] \n", "3000 [1.15e-02, 1.41e-21, 1.56e-08, 5.50e-05] [1.08e-02, 1.41e-21, 1.56e-08, 5.50e-05] [3.21e-04] \n", "4000 [4.90e-03, 4.56e-21, 8.50e-08, 2.19e-05] [4.45e-03, 4.56e-21, 8.50e-08, 2.19e-05] [3.64e-04] \n", "5000 [2.43e-03, 3.22e-22, 2.74e-09, 9.33e-06] [2.01e-03, 3.22e-22, 2.74e-09, 9.33e-06] [1.55e-04] \n", "\n", "Best model at step 5000:\n", " train loss: 2.44e-03\n", " test loss: 2.02e-03\n", " test metric: [1.55e-04]\n", "\n", "'train' took 224.967924 s\n", "\n" ] } ], "source": [ "\n", "losshistory, train_state = model.train(\n", " iterations=5000, display_every=1000\n", ")\n", "\n", "\n", "\n", "losshistory1, train_state1 = model1.train(\n", " iterations=5000, display_every=1000\n", ")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Saving loss history to /home/vemuri/Desktop/BasisPINNs/loss.dat ...\n", "Saving training data to /home/vemuri/Desktop/BasisPINNs/train.dat ...\n", "Saving test data to /home/vemuri/Desktop/BasisPINNs/test.dat ...\n" ] }, { "data": { "image/png": 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EZBssLryUlpaib9++6NmzJ3r06IFPP/1U6pLuWsd+Y5El84WrUIHEXV9IXQ4REZFNsLjw4ujoiH379iEhIQGHDx/GypUrUVBQIHVZd0WQyZET9gcAgHfqd9DrOXCXiIjoXllceJHL5XB0NCzVXFVVBZ1OZ9WzdTo/OAsaUY4I/XmcOvKb1OUQERFZPbOHl7i4OIwbNw7+/v4QBAFbt26t12bNmjXGOd7R0dHYv3+/yfNFRUWIiopCQEAAXn31VXh6epq7zFbj2M4XZz2GAwDKDlpvFxgREZGlMHt4KS8vR1RUlHGFv1tt2LAB8+fPx5IlS3Dy5EkMGjQIY8aMQWZmprGNu7s7Tp06hfT0dHz33XfIyclp9HzV1dUoKSkxeViadoNnAQCiS/YgO7fxz0JERER3ZvbwMmbMGLz11lsN7qwJAKtXr8Zzzz2HGTNmoEuXLnj//fehVqvx0Ucf1Wvr4+ODyMhIxMXFNXq+lStXws3NzfhQq9Vm+yzmou45ApftAuEoVCNpJ+++EBGR9Ro6dCjmz58vaQ2tOualpqYGx48fx6hRo0yOjxo1CvHx8QCAnJwc492TkpISxMXFITw8vNH3XLx4MYqLi42Py5cvt9wHuFuCgKKu0wAAQRc3QKNt3s6hREQkPUEQbvt4+umn7/q9g4OD8f7775ut1uZqbJhHQzZv3owVK1a0bEF3YNeaJ8vPz4dOp4OPj4/JcR8fH2RnZwMArly5gueeew6iKEIURcydOxeRkZGNvqdKpYJKpWrRus0hfNRMVJ1+B52Qid/370D/YWOlLomIiJohKyvL+PWGDRvwxhtvICUlxXjMwcFBirJajUajgUKhgIeHh9SlSDPbSBAEk+9FUTQei46ORkJCAk6dOoXTp09j9mzb2NRQ6dwOqV6jAQDao59LXA0RETWXr6+v8eHm5gZBEEyOxcXFITo6Gvb29ggNDcWbb74JrVZrfP2yZcsQGBgIlUoFf39/zJs3D4ChGyYjIwMvv/yy8S5OYwRBwMcff4yxY8fC0dERXbp0waFDh3D+/HkMHToUTk5OiImJwYULF0xet23btkZrCw4OBgBMnDgRgiAYv1+2bBl69uyJL774AqGhoVCpVBBFsV63UXV1NV599VWo1WqoVCqEhYXh889b9vdcq9558fT0hFwuN95lqZObm1vvbowt8hk+B9iwDX3L43ApMxPBgYFSl0REZBFEUUSltlKSczvYOdw2MDTFrl278Mc//hEffPABBg0ahAsXLuD5558HACxduhQbN27Ee++9h/Xr16Nbt27Izs7GqVOnABi6YaKiovD8889j5syZdzzXihUrsHr1aqxevRoLFy7EE088gdDQUCxevBiBgYF49tlnMXfuXOzYsaNJtR09ehTe3t5Yu3YtHnzwQcjlcuO5zp8/j++//x6bNm0yOX6zp556CocOHcIHH3yAqKgopKenIz8//56u5520anhRKpWIjo5GbGwsJk6caDweGxuLRx55pDVLkYRPRAwylGEIqklD2u6PETzjbalLIiKyCJXaSvT7rp8k5z78xGE4Khzv6T3efvttLFq0CNOnTwcAhIaGYsWKFXj11VexdOlSZGZmwtfXFyNHjoRCoUBgYCDuu+8+AICHhwfkcjlcXFzg6+t7x3M988wzePTRRwEACxcuRExMDF5//XWMHm24u//SSy/hmWeeaXJtXl5eAAwzfW89f01NDb7++mtjm1ulpqbi+++/R2xsLEaOHGl8/5Zm9vBSVlaG8+fPG79PT09HQkICPDw8EBgYiAULFmDatGno06cPYmJi8MknnyAzMxOzZs0ydymWRxBQ2fNp4MgSdL6yEZXVy+CgUkhdFRER3aPjx4/j6NGjePvtG/8o1el0qKqqQkVFBaZOnYr3338foaGhePDBB/HQQw9h3LhxsLNr/q/hm8eB1vVa9OjRw+RYVVUVSkpK4Orqesfa6haGbUhQUFCjwQUAEhISIJfLMWTIkGZ/jnth9vBy7NgxDBs2zPj9ggULAADTp0/HunXr8Nhjj6GgoADLly9HVlYWunfvju3btyMoKMjcpVikzsOno+zI2whCNvb+ugVDxzwqdUlERJJzsHPA4ScOS3bue6XX6/Hmm282uEyIvb091Go1UlJSEBsbi19++QVz5szBO++8g3379kGhaN4/Ym9uX9fd1dAxvV7fpNpux8nJ6bbPSzVI2ezhZejQoXdczn/OnDmYM2eOuU9tFWT2Lkj3H4se176H8uQ6gOGFiAiCINxz142UevfujZSUFHTq1KnRNg4ODhg/fjzGjx+PF154AREREUhMTETv3r2hVCqh07XMMhpNqU2hUNzV+Xv06AG9Xo99+/YZu41aQ6uOeSED9QNzgC+/x33Vh3A2JQVdbrOODRERWb433ngDY8eOhVqtxtSpUyGTyXD69GkkJibirbfewrp166DT6dCvXz84Ojri66+/hoODg7HXITg4GHFxcXj88cehUqnMui3OnWqrO/+ePXswcOBAqFQqtGvXrknvHRwcjOnTp+PZZ581DtjNyMhAbm6ucVxOS7C4jRnbAveQXrjo0B12gh6X93wsdTlERHSPRo8ejZ9++gmxsbHo27cv+vfvj9WrVxvDibu7Oz799FMMHDgQkZGR2LNnD7Zt24b27dsDAJYvX45Lly6hY8eOtx1j0hK1AcC7776L2NhYqNVq9OrVq1nv/9FHH2HKlCmYM2cOIiIiMHPmTJSXl5v1M9xKEK15y+YGlJSUwM3NDcXFxXB1dZW6nEZd3PM5QvcvQJboAcdXk+HmZNuLGxER3ayqqgrp6enGTXqpbbjdz705v79550UiIYOfQLHgAj/hOo7s3iB1OURERFaD4UUigsIBV4IMI79dznx1x0HOREREZMDwIqHg0S8AAO7TnsCJ06ckroaIiMg6MLxIyMkvHOed+0AmiMjb+4nU5RAREVkFhheJ2ccY9rHoc30bcgtLJK6GiKh1scu8bTHXz5vhRWIB/SejUNYOnkIJju/6RupyiIhaRd0mfzU1NRJXQq2poqICAJq9qvCtuEid1OQK5HZ6DO1S/wOvlG+h1c2CnZyZkohsm52dHRwdHZGXlweFQgGZjH/v2TJRFFFRUYHc3Fy4u7s3ukN1UzG8WIDg0XOgS/0EfcQzOHDkEO6PGSh1SURELUoQBPj5+SE9PR0ZGRlSl0OtpKGdq+8Gw4sFULUPQpr7AIQVHUBZ/OcAwwsRtQFKpRJhYWHsOmojFArFPd9xqcPwYiHcBs0Cth1A/5KdyMzJR6CP+fa1ICKyVDKZjCvsUrOxk9FCePd6CHlyH7gL5Ti160upyyEiIrJYDC+WQiZHcZcnAABBF/+LKk3LbI1ORERk7RheLEjIqFnQQo5IpOHggV+lLoeIiMgiMbxYELmrL9I9hwEANEe+kLgaIiIiy8TwYmE8h80GANxf8SvOXbomcTVERESWh+HFwrTrOgI5CjWchSqc++VzqcshIiKyOAwvlkYQUBn5FAAg4vL/UFrJ9Q+IiIhuxvBigYJGzEANFIgQMnBg706pyyEiIrIoDC8WSHD0QKbfaACA/MRa7rpKRER0E4YXC+U38gUAwOCa/TiRki5xNURERJaD4cVCOYXGIMu+I+wFDTL2fCZ1OURERBaD4cVSCQL00c8CAKJytyC/tErigoiIiCwDw4sF6zB4OioFB3QUruHAL1ulLoeIiMgiMLxYMpULrgWOAwA4n/kaOj0H7hIRETG8WLiAkXMAAIO1hxB/OlniaoiIiKTH8GLhVOpeuOLUDUpBh5y9HLhLRETE8GIFVP1nAAD6FW7D5fxSiashIiKSFsOLFfDq9zjKBWeohTz8Hvs/qcshIiKSFMOLNVA6Iq/jZACAd+q3qNHqJS6IiIhIOgwvViLgAcPA3fv1x7H36EmJqyEiIpIOw4uVsPOJwGW3aMgFEcUHPpe6HCIiIskwvFgRl4HPAwAGl/2MlKvXJa6GiIhIGgwvVsS99ySUyNzhIxThxC/fSV0OERGRJBherImdEsURjwMAgi5uQHm1VuKCiIiIWh/Di5XpMGIW9BAwQDiNPQd/l7ocIiKiVsfwYmVk7UNwtf0AAEDN4c8hitzviIiI2haGFyvUbvAsAMDwqt04mZ4jcTVERESti+HFCjl3fwhFdl7wEMqQ/MvXUpdDRETUqhherJHcDpWR0wAA4Vc3orC8RuKCiIiIWg/Di5XyHTIDOsjQVziHX/b9JnU5RERErYbhxUoJbh1wzWcYAEB+Yh30eg7cJSKitoHhxYp5DZ8NABip+Q3x5zIlroaIiKh1MLxYMfuwEbiu6gBXoRIXfv1S6nKIiIhaBcOLNZPJoO/9NACgV+4WXCuqlLYeIiKiVsDwYuU8738WGigQKbuI337dKXU5RERELY7hxdo5eSJXPdrwZeI30Oj0EhdERETUshhebID3MMPA3VH6/fjt1HmJqyEiImpZDC82QBEyEPkOoXAUqnFt31qpyyEiImpRDC+2QBBg1+85AEBM4Y84n1MqcUFEREQth+HFRrj3n4ZqwR7hsiuI+3Wb1OUQERG1GIYXW2Hvhush4wAA3inforJGJ3FBRERELYPhxYb4DJ8DAHhA/B27jiZJXA0REVHLYHixIbKA3sh16QKVoMX1gxy4S0REtonhxcY4DZgJABhe9jNOZV6XuBoiIiLzY3ixMU7Rj6NS5oRgWQ4O79ksdTlERERmx/Bia5ROKA2fDAAIvrQBxRUaiQsiIiIyL4YXG+Q1dBYAYDiOYfuhExJXQ0REZF4MLzZI8OmG3Ha9YCfoUXl4HURRlLokIiIis2F4sVGu9/8JAPBg9U4cSsuRuBoiIiLzYXixUfaRE1Eud4O/cB2nfvuf1OUQERGZDcOLrVLYo7r74wCAiKsbkVNSJXFBRERE5sHwYsM8Bhu6joYIp7A97neJqyEiIjIPhhdb1r4jcr0GQCaIEE58Ca1OL3VFRERE94zhxca1G2K4+/Kw7hf8mnxF4mqIiIjuHcOLjVN0eRilCk94CSVI2bte6nKIiIjuGcOLrZMroO81DQAQnbsFl/LLJS6IiIjo3jC8tAFuA56DHjIMkCdj5959UpdDRER0Txhe2gJ3NQr8hwIAnM58gyqNTtp6iIiI7gHDSxvhMWQ2AGCcuBc7TqZLXA0REdHdY3hpI+RhI1Bi7w93oRyX938rdTlERER3zSLDy8SJE9GuXTtMmTJF6lJsh0wOWZ9nAAD3F/+IpGvFEhdERER0dywyvMybNw9fffWV1GXYHOf+T0MHOXrLzmPPb3ukLoeIiOiuWGR4GTZsGFxcXKQuw/Y4e6Mo6EEAgHfKdyip0khcEBERUfOZPbzExcVh3Lhx8Pf3hyAI2Lp1a702a9asQUhICOzt7REdHY39+/ebuwxqhEftirtjhf3YdiRV4mqIiIiaz+zhpby8HFFRUfjwww8bfH7Dhg2YP38+lixZgpMnT2LQoEEYM2YMMjMzzV0KNUAIGYxix2A4C1XIi/8GoihKXRIREVGzmD28jBkzBm+99RYmTZrU4POrV6/Gc889hxkzZqBLly54//33oVar8dFHH93V+aqrq1FSUmLyoNsQBKhiZgAARlX8jCMXCyQuiIiIqHladcxLTU0Njh8/jlGjRpkcHzVqFOLj4+/qPVeuXAk3NzfjQ61Wm6NUm2Yf/SQ0ghJdZRk4sG+n1OUQERE1S6uGl/z8fOh0Ovj4+Jgc9/HxQXZ2tvH70aNHY+rUqdi+fTsCAgJw9OjRRt9z8eLFKC4uNj4uX77cYvXbDEcPlIWNBwCEXNqAvNJqiQsiIiJqOjspTioIgsn3oiiaHNu1a1eT30ulUkGlUpmttrai3aBZQOpGPCQcwjeHzmDGqGipSyIiImqSVr3z4unpCblcbnKXBQByc3Pr3Y2hFhbQB0Wu4bAXNCg/8g10eg7cJSIi69Cq4UWpVCI6OhqxsbEmx2NjYzFgwIDWLIUEAU4DngcAjK3Zgb3nciQuiIiIqGnMHl7KysqQkJCAhIQEAEB6ejoSEhKMU6EXLFiAzz77DF988QXOnj2Ll19+GZmZmZg1a5a5S6E7UPR6DNUyR3SUZeHovm1Sl0NERNQkZh/zcuzYMQwbNsz4/YIFCwAA06dPx7p16/DYY4+hoKAAy5cvR1ZWFrp3747t27cjKCjI3KXQnahcUN11ClRnvkL3axtx+fqTUHs4Sl0VERHRbQmija1SVlJSAjc3NxQXF8PV1VXqcixfdiLwn/uhEeX4T/Q2vDh+oNQVERFRG9Sc398WubcRtSLfHijy6AmFoANOfoNqrU7qioiIiG6L4YXgcr9h4O4EXSx2Jl6VuBoiIqLbY3ghyHtMQpXcBWpZHs7EbZG6HCIiottieCFA4QBd1B8AAPfl/4Bz2dwfioiILBfDCwEAnGJmAgCGy05gW1zj2zEQERFJjeGFDLw6o9inP+SCCOekb1FWrZW6IiIiogYxvJCR66A/AQAmYQ9+OH5J2mKIiIgawfBCRkLEWFQqPeAjFOHigY2wsSWAiIjIRjC80A12Sgi9nwIADCn9CScyCyUuiIiIqD6GFzJh3+8Z6CFgsDwRO+PipS6HiIioHoYXMtUuGGUBQwAA3qnrcb28RuKCiIiITDG8UD2ugww7fE+W/YZNRy5IXA0REZEphheqL2wUyu194SGUIfvQBuj1HLhLRESWg+GF6pPJobzvGQDA6KrtiEvLk7ggIiKiGxheqEGKPtOhhxz3yVLwa9w+qcshIiIyYnihhrn6oSJ0NACgY+b3uFpUKXFBREREBgwv1CjngYb9jibK9mPjoRSJqyEiIjJgeKHGhQxFuVMgXIVKlBxdjxqtXuqKiIiIGF7oNmQy2MfMAACM1+7C7uRsiQsiIiJieKE7kPf6I7SCAlGyi4iPi5W6HCIiIoYXugOn9qgJHw8AiMzejPO5pRIXREREbR3DC92RY4xh4O54+SFsPJAkcTVERNTWMbzQnQX2R7lbGByFauhPb0BFjVbqioiIqA1jeKE7EwQ41N59mazfjR9PXpW4ICIiassYXqhJZD0fh0Zmj3DZFZw4uAOiyP2OiIhIGgwv1DT2btB3nwIAiCn8EaeuFEtcEBERtVUML9Rkqv6GNV8ekh3GlgOnJK6GiIjaKoYXajr/Xij3jIRK0MIpeQOKKmqkroiIiNoghhdqFsfaFXcfFX7BxmOZEldDRERtEcMLNYvQYwpq7JwRLMvBufifoNdz4C4REbUuhhdqHqUThKjHAQAjyn9C/IUCiQsiIqK2huGFmk3Rz9B19IDsOLYdOC5xNURE1NYwvFDzeXdBhV8/2Al6+F74H7KLq6SuiIiI2hCGlyYqri7Gn/f9GenF6VKXYhHq9jt6TL4HG45clLgaIiJqSxhemujDkx9i16VdmPTjJLx//H1UaCqkLklaXcejWtkO/sJ1XD78AzQ6vdQVERFRG8Hw0kRPdX0KgwMGQ6vX4vMzn2P81vHYfWl3210m304FefQfAQAPV+/AnrM5EhdERERtBcNLE6ld1fj3iH/jX8P/hQ7OHZBTkYNX9r2C52Ofx8XittltYtfnGQDAENlp7DpwWOJqiIiorWB4aaah6qHY+shWzI6aDaVMid+zfsfkHyfjvePvtb2upPYdUaUeDJkgotOVTUjPL5e6IiIiagMYXu6CvZ095vScg62PbMWQgCHQ6rX44swXGL91PHZd2tWmupLsBzwPAHhUvhf/jT8vbTFERNQmMLzcA7WrGh+O+NCkK+nP+/7ctrqSOj+IagdveAklKDyxBVUandQVERGRjWN4MYO6rqQ5UXNMupJWH19t+11JcgUUfZ8GAEzS7cJPp7OkrYeIiGwew4uZ2NvZY3bP2dg6YSuGBgyFVq/F2jNrMW7rOOy8tNOmu5Jk0dOhhwwx8mT8euCA1OUQEZGNY3gxM7WLGv8a8S98OPxDdHDugNyKXPzfvv/DzNiZuFhko11JbgHQdBwFAIjO24ozV4slLoiIiGwZw0sLGaIeYuxKUslVOJx12Ka7klT9DfsdTZHvw/r4VImrISIiW8bw0oLqupK2PLLF0JUk2nBXUsfhqHYOgJtQAW3iZpRUaaSuiIiIbBTDSyuo60r694h/I8A54EZX0m4b6kqSyaHs9xwA4FHsxubjVyQuiIiIbBXDSysaHDAYWydsxZyetV1J2bVdScdWo1xj/Qu8Cb3+CJ1gh96y8zgUv9e27iwREZHFYHhpZSq5CrOjZmPrI1sxVF3blZS0FuO3jMfOdCvvSnL2hj5iLABgcPE2/H7xusQFERGRLWJ4kUiASwD+NfymrqTKXPxfnKEr6ULRBanLu2uK+wwDdx+RH8T/Dp2VuBoiIrJFDC8Sq+tKeqHnC8aupCk/TsG7x961zq6k4PtR7dYRzkIVnM5tQm5pldQVERGRjWF4sQAquQqzomZh6yNbMUw9DFpRi3VJ6zB+y3jsSN9hXV1JgmCcNv0H2R58fyRT4oKIiMjWMLxYkACXAHww/AP8e8S/oXZRI7cyF6/GvYoZu2fgfKEVbXoY9Th0MhW6yjJw+vAe6PRWFL6IiMjiMbxYoMEBg7HlkS2Y23MuVHIVjmQfwdRtU/GPo/+wjq4kRw+I3ScBAEZVbsdv53IlLoiIiGwJw4uFUslV+FPUn/DDhB8wXD0cWlGLL5O/xPgt47H94naL70qyqx24O1Z2CJsPJkpcDRER2RKGFwvXwbkD/jn8n1gzYg0CXQKRW5mLhfsX4rndz1l2V1KHaNR4doO9oIFfxhZkFtjelghERCQNhhcrMShgEDY/shkv9noR9nJ7HM0+atldSYIAZe3A3Sdke/Dt4UvS1kNERDaD4cWKqOQqPB/5PH6Y8ANGBI4wdiWN2zLOMruSekyF1s4RHWVZSD+2C9VandQVERGRDWB4sUL+zv54f9j7+GjkRwh0CUReZR4W7l+IZ3c9a1ldSSoXyKIeAwCM1+zEjsRsiQsiIiJbwPBixe7vcD+2PLLF2JV0LOcYpmybgneOvoOymjKpywMAyPoaNmscLTuKbQcTpC2GiIhsAsOLlVPKlSZdSTpRh6+Sv8K4rePw08WfpO9K8u0BjV8fKAQdwrN+wNmsEmnrISIiq8fwYiNu7UrKr8zH4v2L8cyuZ5BWmCZpbYp+tSvuyn/Ft4cuSloLERFZP4YXG1PXlTSv1zzYy+1xPOc4pm6bir8f/bt0XUndJkCjdINalof8hB0oq9ZKUwcREdkEhhcbpJQrMTNyJn6Y8ANGBo6ETtTh6+SvpetKUjjArveTAIDJ4m5sOXm1dc9PREQ2heHFhvk7++O9Ye/hPyP/gyDXIJOupNTC1FatRejzLABguOwkdscflX4sDhERWS2GlzZgYIeB2Dx+M17q/RIc7BxwPOc4Ht32KP525G8orSltnSI8w6ANvB9yQUSf6z/heEZh65yXiIhsDsNLG6GUKzGjxwz88MgPeCDoAehEHb45+w3Gbx2PbRe2tcqdELvagbuPy3/Dt4cutPj5iIjINjG8tDF+zn5YPXQ1Ph75MYJdg5FfmY/XDryGp3c+3fJdSeEPQ+PgBR+hCJqk7Sgoq27Z8xERkU1ieGmjBnQYgE3jNxm7kk7knmj5riQ7JRR9ngIAPCrE4vtjV1rmPEREZNMYXtqwxrqSxm0Z13JdSb2nQ4SAwfJE7Pv9d+j1HLhLRETNw/BCN7qSHjB0JRVUFRi7klKup5j3ZO2CoO84EgAwrOxn7EvLM+/7ExGRzWN4IaMB/vW7kh776TGsOrLKrF1J8vsM+x1Nle/DhnhpV/8lIiLrw/BCJuq6kn6c8KOxK+nbs99i3JZx+PHCj+bpSgobBY2zPzyEMtif/wlXCivu/T2JiKjNYHihBvk6+dbrSlpyYIl5upJkcij6Ghate0K+B/89kmmGiomIqK1geKHbGuA/AJvHb8b83vNvzEr66VGsOrIKJTX3sEN072nQC3LcJ0vBsSMHUaPVm69oIiKyaRYZXiZOnIh27dphypQpUpdCABRyBZ7r8Rx+nPAjRgWNgl7U33tXkosvEP4wAGBM9U7sSso2c9VERGSrLDK8zJs3D1999ZXUZdAtfJ188e7Qd/HJA58gxC0E16uuY8mBJZi+c/pddSXJaruOJsn343/xZp7VRERENssiw8uwYcPg4uIidRnUiBj/GGwatwkvR78MBzsHnMw9iUd/ehQrD69sXldSyBBo3UPgKlTC78rPSMtppX2WiIjIqjU7vMTFxWHcuHHw9/eHIAjYunVrvTZr1qxBSEgI7O3tER0djf3795ujVrIgCrkCz3Z/Fj9O+BGjg0dDL+rx3bnvMG7LOPxw/gfoxSaMYZHJYFd79+VJ+S/45veMFq6aiIhsQbPDS3l5OaKiovDhhx82+PyGDRswf/58LFmyBCdPnsSgQYMwZswYZGbemFESHR2N7t2713tcu3at2R+guroaJSUlJg9qPb5OvvjHkH/g01GfGruS/nLwL5i+YzrOXT935zfo+ST0MiUiZek4dyIO5dXali+aiIismiDew8IdgiBgy5YtmDBhgvFYv3790Lt3b3z00UfGY126dMGECROwcuXKJr/33r178eGHH2Ljxo23bbds2TK8+eab9Y4XFxfD1dW1yeeje6fRafDN2W/w0amPUKmthEyQ4bHwxzC311y4Khv/WYibZkJI/B7rtUMhjv8X/nBfYCtWTURElqCkpARubm5N+v1t1jEvNTU1OH78OEaNGmVyfNSoUYiPjzfnqYwWL16M4uJi4+Py5cstch66M4VcgWe6P4MfJ/yIB4MfhF7U47/n/otxW8Zh6/mtjXYlCX0NK+6Olx/ClvikltlTiYiIbIZZw0t+fj50Oh18fHxMjvv4+CA7u+lTYUePHo2pU6di+/btCAgIwNGjRxttq1Kp4OrqavIgafk6+eKdIe/g01GfItQtFNerruP1g6/jqR1P4WzB2fovUPeDzrMLHIVqROTtQMLlolavmYiIrEeLzDYSBMHke1EU6x27nV27diEvLw8VFRW4cuUK+vbta+4SqRX09+uPjeM2YkH0AjjYOeBU3ik8/vPjePv3t1FcXXyjoSAY9zt6Ur4H3xziwF0iImqcWcOLp6cn5HJ5vbssubm59e7GUNvQUFfS+pT1GL91PLakbbnRlRT5KHR2DgiXXUFW4q8oLK+RtnAiIrJYZg0vSqUS0dHRiI2NNTkeGxuLAQMGmPNUZGXqupI+G/WZsSvpjfg3bnQl2btB1mMqAOBRIRZr9p5HbmmVxFUTEZElavZso7KyMpw/fx4A0KtXL6xevRrDhg2Dh4cHAgMDsWHDBkybNg3/+c9/EBMTg08++QSffvopkpKSEBQU1CIf4mbNGa1M0tDoNfju7HdYk7AGFdoKyAQZHu38KOb6DYHb2odRLdohpvpDXIcr/Nzs0aODG6LU7ogMcEOPDm5wd1RK/RGIiMjMmvP7u9nhZe/evRg2bFi949OnT8e6desAGBap+/vf/46srCx0794d7733HgYPHtyc09w1hhfrkVOeg3ePv4sd6TsAAB72HphXWoOJV5Lxg3Ic3i0diSuiJwDT8VJB7R0NgSbAEGi6dXCDs8pOgk9ARETm0qLhxdIxvFifI1lH8NfDf8WF4gsAgMiqarxRcB3hNRpolO7IdQ5HMkJxsLwDfivxR6boDfGmHk9BADp5OSOyNsxEBrihi58r7BVyqT4SERE1E8MLw4vVubUryU4EXioqwVNFRfUGZmkVzshxDMdZBGN/eQAOlAcgXfSD/qaWdjIB4b4uJoGms48LFHKL3M6LiKjNY3hheLFauRW5ePv3t/Hr5V8BAP08uuItr/vhm38RyDoFZJ8BdNX1Xqe1c0SOQxiSEYKDZR1wqEqN82IH6HDj7ovKToau/q6ICnCvHUfjhlBPZ8hkTZ/GT0RELYPhheHFqomiiM1pm/G3o39DpbYSrkpXLI1ZilHBowCdBshLMQSZrITaQJMIaCrqvY9OpkKOQyckIQQHyjvgWHUgUkU1NLgxPsZJKUf32gHBdeNo1B4OzVqXiIiI7h3DC8OLTbhUfAmL9i9CUkESAGBCpwlYdN8iOCmcTBvqdUB+Wm2gqQs1p4Ga0nrvqRfskO3QEcliCA6U++OkJhjnxEBU48YMJndHhcmA4MgAd/i62bfkRyUiavMYXhhebIZGr8FHCR/hs8TPIEKE2kWNVYNWIdIr8vYv1OuBwnRDkLmWcCPYVBXVbyrIkasKxhkxBPEVHXBKG4xkMQiVuBFYvF1UxiBT96eHE6dsExGZC8MLw4vNOZZ9DK8deA1Z5VmQC3LMipqFGT1mwE7WjCnSoggUZdwIMtcSDOGmoqB+UwjIVQUiSR+C+MoAJOpCkCwGoRSOxjYB7RxMAk33Dm5wtVfc+4clImqDGF4YXmxSSU0J3vr9LeO6ML28e2HloJXo4Nzh7t9UFIGSa6ZjaLJOAaVZDTbPU3RAohiCw5VqnBGDcUYfgmI4G58P9XIyGRDc1c8NDkpO2SYiuhOGF4YXm/bTxZ/w1u9voVxTDmeFM5b0X4KxoWPNe5LSnFvG0JwCii832DTfzhdn9ME4Uh2IJDEEZ/TBKIAbAEAuExDm7WwINAGGcTThvi5Q2nHKNhHRzRheGF5s3pXSK3jtwGs4mXsSADAmZAz+0v8vcFW24M+8vADIPmU6hqYwvcGm1+VeSNQH40RNIBLFEJzRhyAX7gAEKOUydPEzrEFTF2g6eTtDzinbRNSGMbwwvLQJWr0WnyV+hv+c+g90og5+Tn5YOWglon2iW6+IykLDVO2sm0JNwXkA9f+3KpK1Q6I+GCe1QUjSG+7QXIVh+wMHhRzdO7iaDAgObu/IKdtE1GYwvDC8tCmn805j0f5FuFx6GTJBhue6P4fZPWdDIZNo8Gx16Y1AU/fIOweI+npNSwRXJOqDcVoXhER9CM6IIcgUvQEIcLW3Q4/aIBMV4IYeAe7wd7NnoCEim8TwwvDS5pRryrHqyCpsPb8VANC9fXesGrwKQa4tv5N5k9RUADlJteNnEgyBJvcsoNfWa1ouOOG0LhiJ+mCc0RumcKeLvhAhg6ezEj061AYatRt6dHCHl4uq1T8OEZG5MbwwvLRZuy/txpuH3kRJTQkc7Byw6L5FmNhpomXerdBW1waam+7Q5CQ1uP1BBRyQpA803J2pDTQXRH/oIIe/m/1Nd2gMM53cHDllm4isC8MLw0ubll2ejSUHluBI9hEAwIjAEVgWswzu9u7SFtYUOo2hi+nmMTTZiYC2sl7TKiiRrA/EGX2Icdp2mhgADewQ3N7RZPxMN39XOKmasSYOEVErY3hheGnz9KIeXyZ9iQ9OfgCtXgtvB2+8df9biPGPkbq05tNpgYI008X1sk8DNWX1mtbADuf06tpAY7hLkyKqoRGU6OTtbBJouvi5QGXHNWiIyDIwvDC8UK2zBWexcP9CpBcbpjQ/1fUpvNT7JSjlVr60v14PXL9oOoYm6xRQVVyvqRZypOoDarubDHdoksUg6OT2CPN2QYSvC8JrH138XOHtorLMbjYismkMLwwvdJNKbSXePfYuNqRsAACEtwvHqkGr0KldJ4krMzNRBAov1V9cr4HtD3SQ4YLeD0liMFL0apwT1UjRByILHnB3VCLcxxBk6kJNuI8Lu52IqEUxvDC8UAP2Xt6LpfFLcb3qOlRyFRZEL8AfIv5g23cZRBEouWo6hibrFFCW3WDzEtGxNsiokSKqcU6vRqqoRgmcEOjhiHBfw52aCF9DsAlu7wg7OVcLJqJ7x/DC8EKNyK/Mx18O/gUHrx4EAAzqMAjLBy6Hp4OnxJW1stJsQ5jJOQPkJgM5yYZxNQ1M3QaAq2J7k0CTIgbigugPwU6JMG9nRPi6GrufIvxc4OXMriciah6GF4YXug1RFPHdue+w+thq1Ohr4GHvgRUDV2BwwGCpS5OWtgbIT60NM0k3Qk3JlQaba0Q5Lop+NwUaQ6i5InrCw0mFcJ+6cTQuCPd1RWcfZzgq2fVERA1jeGF4oSZIK0zDov2LkFqYCgB4LPwxvNLnFTjYOUhcmYWpLDIsqJebZAgzdaGmuv7gYAAoFR2QKgaYjKU5J6pRIjgj0MOx9g6Na233kwuC2jtxXyciYnhheKGmqtZV458n/omvk78GAIS6heJvg/+GCI8IiSuzcHVjaXKSTUNNXgqg1zT4kizR46ZAY7hTc17sAJlCZTLrqW48DVcOJmpbGF4YXqiZ4q/G4y8H/4K8yjzYyezwUq+X8FS3pyATOBi1WXQaw8aUN3c75SYBRZkNNteKMqTf0vV0TlTjiuiF9s72tTOdau/S+LkgzNsFDkquTUNkixheGF7oLhRWFWJZ/DL8evlXAEA/v354e+Db8HHykbgyG1BV0kDXUxJQVdRg83JRhVSTsTSGr4sEVwS3d7rpLo2hCyrQw5FdT0RWjuGF4YXukiiK2JS2CX8/+ndUaivhqnTFsgHL8EDQA1KXZntEESjNuqXrKQnIS21wfycAyBXd6wWaNDEAMoUDOvs4G7ud6sJNe2d2PRFZC4YXhhe6R5eKL2Hh/oVILkgGAEzsNBGL7lsER4WjxJW1ATotcP1C/a6nwksNNxcFXBJ9DYGmbkyNqEam6AMPZwfDbCefGysId/J2hr2CXU9ElobhheGFzECj02DNqTX4PPFziBAR6BKIVYNWoYdXD6lLa5uqywybVhpDTe2fDawgDAAVogqpYgek6AONY2lS9GoUCm4I9nQyWWwvwtcF6naOkLHriUgyDC8ML2RGR7OP4rUDryG7PBtyQY7ZUbMxo8cMyGX817vkRBEoy60/libvHKCtavAleaJr7WynQGOgSRUDIFM6orOP6aynCF8XtHOy8n2wiKwEwwvDC5lZcXUx3vr9Ley8tBMA0Nu7N/466K/o4NxB4sqoQXodcD3ddCxNThLE6+kQUP+vPL0oIEP0RooYaDLz6ZLoC08XB0T41Y6jqe1+YtcTkfkxvDC8UAsQRRE/XfwJbx9+G+WacjgrnLGk/xKMDR0rdWnUVDXltV1PyaZdT+V5DTavEhVIEzsY7tLctD3CdVk7hHgaBgh3uWnRvQ7uDux6IrpLDC8ML9SCrpReweL9i5GQlwAAeCjkISzpvwSuSv73ZrXK8m65S5NsCDmaigabXxedjSsHp9y06J6gdKrdidvVZDq3uyO7nojuhOGF4YVamFavxaeJn+LjUx9DJ+rg7+SPvw76K6J9oqUujcxFrwcK001nPOUkQ7x+AYKob/AlmXov41iac7Xh5pLoCy9XJ0T4GcbRdKn9M9TLCQruyE1kxPDC8EKt5FTeKSyKW4QrZVcgE2R4rvtzmN1zNhQyhdSlUUvRVBq2Qbh1A8uy7AabV9d2PSXrg5AsBiFZH4SzYhCq5E7o5G3odqoLNtyRm9oyhheGF2pF5ZpyrDy8Ej9c+AEA0L19d6wavApBrkESV0atquJ6/WncuWeBmrIGm2fqvZAsBpuEmmtoj/ZOqhthhmvTUBvC8MLwQhLYdWkX3jz0JkprSuFg54BF9y3CxE4T+a/otkyvB4ozDWEm6zSQnWh4FDe811OR6GQSZpLFYJwX/aEX7BDi6YQIP1fDnZrauzQd3B343xfZDIYXhheSSHZ5Nl478BqOZh8FAIwMHImlMUvhbu8ubWFkWSoLgewzN8JMdiKQdxbQa+s1rYEdUvUB9bqdSuEIF5WdSZdT3aJ7zio7CT4U0b1heGF4IQnp9Dp8mfwl/nXyX9DqtfB28MZb97+FGP8YqUsjS6atNoyluTnQZCcC1cUNNs8UvZGkD7op1AQjCx4ABAR6ONbuxO1aO5XbBUHtnbh5JVk0hheGF7IAyQXJWBi3EJdKLgEApnedjnm950Ep57RZaiJRBIoy6gea4ssNNi+GM87obu52CsIF0R9a2MFeIUO4j+ldGq4gTJaE4YXhhSxEpbYS/zj6D3yf+j0AILxdOP42+G/o6N5R4srIqlVcB3Ju7XY612C3kwZ2SBXVJqHmrBiIMhg2GfV1tec0brIIDC8ML2Rh9l7eizcOvoHC6kKo5Cq80ucVPB7+OAdbkvloqw0Bpl63U0mDza8IvjitDTQZS5Nd2+2kkAsm07jDfQ3dT14unMZNLYfhheGFLFB+ZT7+cuAvOHjtIABgUIdBWD5wOTwdPCWujGyWKAKFl+oHmpIrDTYvEVyRrA/Cad2NUHNR9IMWhgHAHk5K427cEX4u6OLrijAfTuMm82B4YXghC6UX9fjvuf9i9bHVqNHXwMPeAysGrsDggMFSl0ZtScX1+oEm7xwg6uo11QgKXBQCkaBRGwcIn7up20kmgNO4ySwYXhheyMKlFaZh4f6FSCtMAwA8Hv44XunzCuzt7CWujNosTdUt3U6nDdO5a0obbJ4t98MZXRASNOp63U4AjNO4w31vjKcJ93XlNG5qFMMLwwtZgWpdNd4//j6+OfsNACDULRR/G/w3RHhESFwZUS29Hii61EC309UGm5fJ3ZAqhOBEdQASdYFIFoNxUfSDDje6ldQeDoYwUzuVO4LTuKkWwwvDC1mR+KvxWHJwCfIr86GQKfBS75cwres0yATO9iALVV4A5Nza7ZTSYLeTVlAiUxGMRG0gjlUHGLudyuFgbMNp3AQwvDC8kNUprCrE0vil+O3ybwCAfn798PbAt+Hj5CNxZURNpKkyrBKcnXhjK4ScM43u7ZSvDEAKgnCkKsA46ykH7VDX7QQAPq4qk8HBEX4uCPV0htKOwd4WMbwwvJAVEkURG9M24p2j76BSWwk3lRuWxSzDyKCRUpdGdHf0eqAwvX63U+m1BptX2LnjkiIUpzSB+L3Cv8FuJ4VcQEcvZ3Sp7XKqGyjMadzWj+GF4YWsWHpxOhbtX4TkgmQAwKSwSVjYdyEcFY4SV0ZkJuX59QNNfgog6us11cpUyLYPxTkxCL9XdMCJGjXOiYGogOngdg8nJcJ9XBDi5YRQTyeE1D7UHo5ccM9KMLwwvJCV0+g0+HfCv/HFmS8gQkSgSyBWDVqFHl49pC6NqGVoKoHcszfNdEo0zHbSlNdrKkJAsYMaF+UhOKlR42CZH87ogpELd9zc7QQAcpkAdTuH2jDjbAw3wZ5O8HO1h4wDhS0GwwvDC9mIo9lH8dqB15Bdng25IMecnnPwXPfnIJdxUTBqA4zdTqdv6XbKarB5tbIdcu1DcFFQ40yNPw6XeSNR44dCNPy7QGUnM96hCakNNHV3bTyclOyGamUMLwwvZEOKq4vx1u9vYeelnQCA3t69sXLQSvg7+0tcGZFEyvLqz3bKT22w2wkAauzbo9AxFJftAnFO1wHHKnwRX9IeuTqXRk/ham+HEC9nhLR3rHfHhmvVtAyGF4YXsjGiKOKniz/h7cNvo1xTDmeFM/7S/y94OPRhqUsjsgw1FYZF9vLOGbqf8lIMs5+KMht9ic7BEyUunZClDMZ5IQCnq3xxsMQL50oUuN1vRi8XFUI8TcfWhHg6IbC9I1R2vCt6txheGF7IRl0uvYzF+xfjVN4pAMDDoQ9jSb8lcFE2/i9IojatuswwGDj33E3h5hxQ3HioEZ28UeEehnyHUFwS1EjS+uFouQ8Sr8uQX1bT6OtkAtChnQNCPJ0Nd2naOyLEy/C1v7sDF+K7A4YXhheyYVq9Fp+e/hQfn/4YOlEHfyd/rBy0Er19ektdGpH1qC4F8lJrA83ZG+Gm+HLjr3H2gbZ9OIqcQnFFEYQUfQBOVPribJEM6XnlKK3WNvpSpVyGoPaOJuNq6h6c5m3A8MLwQm1AQm4CFu1fhKtlVyETZJjRYwZmRc2CQqaQujQi62UMNWdru5/OGbqgbhtqfCF6haPSvTNy7INxEWqcrvHHuSIB6fnluFRQgRptw+NxAMBJKUeIV+1sKE8nhHg6Gr92c2g7/z8zvDC8UBtRVlOGlUdW4scLPwIAenj2wKpBqxDoGihxZUQ2prrUEGKMgaa2+6nkSuOvcfYFvCOg94pAsXNHZMiDcFbrh5QieW2oKcfl6xXQ3+a3cHsnpXEmlHGcjZcTgts7wV5hW+NrGF4YXqiN2XlpJ5YfWo7SmlI42Dlg8X2LMaHTBN6KJmppVSW1g4NvHix8rtHNKwEALn6AVwTg3QXa9uHIVgYhTVQjrURAen4F0vPLkJ5fjpyS6tueuoO7A4I9HY1r2NR1RwW0c4CdFS7Mx/DC8EJtUHZ5NhbvX4xjOccAAA8EPYA3+r8Bd3t3aQsjaouqim/qfqodV5OXcodQ4w94RxiCjVcEKt07I10WgIulcqTnlSM9vxwX8w1/FldqGn0bO5mAQA/H+uvXeDnBx8VyF+ZjeGF4oTZKp9dhXdI6fHjyQ2hFLbwdvPH2oLfR36+/1KUREVAbam7qfqqb1t3Ifk8AANcOgFc44NWlNtx0QaFTKC6WypCeX268U1N316ZK0/j4GgeFvLYL6sYdm7ruKKl38WZ4YXihNi6pIAmL4hbhUsklAMDT3Z7Gi71ehFIu7V9ORNSIyqIba9PcHG4aWU0YAOAaYAg13l2M3VD69mHIqVEiPc9wl+ZS7Z2a9PxyZF6vgPY2A2zcHBSm69fUjq0J8XSCUysszMfwwvBChApNBf5x7B/4X+r/AAARHhH426C/IdQ9VOLKiKjJKgtvjKnJvWlad1l2469xDbjR/VQXbLzCobFzwpXCSlwydj8Z7thcyq/A1aLK25bh46q66U6NI6KDPBAd1M6sH5XhheGFyOjXzF+xLH4ZCqsLoZKr8Oc+f8Zj4Y9xMC+RNasLNbd2P90u1LipawNN3biaLoY7NypnVNbokHG9vME7NgXl9RfmeyomCMsf6W7Wj8TwwvBCZCKvIg+vH3wdB68dBAAMDhiM5QOWo71De4krIyKzqrh+o/vp5lWFy3Iaf41bYG2guWlcjach1ABAcYUG6QXlN92xKceorj4YF2Xe/dUYXhheiOrRi3r899x/sfrYatToa+Bh74HX+r2GEYEjYCfjRnNENq3iuun6NHXhpjy38de4BxpnPt3c/QSlU4uUyPDC8ELUqNTCVCyMW4jzRecBAN6O3pjYaSImhk1EB+cOEldHRK2qLtTc2v10p1DT+ylg8P+ZtRSGF4YXotuq1lXj41Mf43+p/0NRdREAQICAGP8YTA6bjGHqYVDI286y5ER0i/KC+vs+5Z0DyvMMzw/6MzDidbOekuGF4YWoSWp0NdiTuQebUjfhcPZh43EPew880vERTAqbhGC3YOkKJCLLUl5gCDQufkD7jmZ9a4YXhheiZrtcchmbz2/G1vNbkV+Zbzzex6cPJneejJGBI2FvZy9hhURkyxheGF6I7ppGr0HclThsSt2Eg9cOQi8aVut0VbpibOhYTO48GZ3bdZa4SiKyNQwvDC9EZpFdno0t57dgS9oWZJXfWOkz0jMSkztPxoPBD8JR4ShhhURkKxheGF6IzEqn1+FQ1iFsSt2EvZf3QitqAQCOdo54KPQhTA6bjG7tu3HhOyK6awwvDC9ELSa/Mh8/nP8Bm9M2I7M003g8vF04JneejIdDH4arkv/vEVHzMLwwvBC1OFEUcTT7KDalbcIvGb+gRm9YQtxebo9RwaMwOWwyenn34t0YImoSqw4vpaWlGD58ODQaDXQ6HebNm4eZM2c2+fUML0Str6iqCD9d/Amb0jYZF78DgFC3UEwKm4TxHcejnb15N3EjItti1eFFp9Ohuroajo6OqKioQPfu3XH06FG0b9+0PVgYXoikI4oiTuWdwqa0Tdh1aRcqtYadau1kdhgROAKTwyajn18/yASZxJUSkaWx6vBys+vXr6NXr144fvw4PD09m/Qahhciy1BWU4bt6duxKW0TkguSjccDnAMwKWwSJnSaAC9HLwkrJCJL0pzf383+509cXBzGjRsHf39/CIKArVu31muzZs0ahISEwN7eHtHR0di/f3+zzlFUVISoqCgEBATg1VdfbXJwISLL4ax0xqPhj2LD2A34fuz3eCz8MTgrnHGl7Ao+OPkBHtj4AOb9Og9xV+Kg0+ukLpeIrEiz77zs2LEDBw8eRO/evTF58mRs2bIFEyZMMD6/YcMGTJs2DWvWrMHAgQPx8ccf47PPPkNycjICAwMBANHR0aiurq733rt374a//40ttnNycjBp0iRs3rwZPj4+TaqPd16ILFeFpgK7M3Zjc9pmnMw9aTxetznkpLBJ8Hf2v807EJGtarVuI0EQ6oWXfv36oXfv3vjoo4+Mx7p06YIJEyZg5cqVzT7H7NmzMXz4cEydOrXB56urq02CUElJCdRqNcMLkYW7UHQBm9I2YduFbSabQw7wH4DJnSdjaMBQbg5J1Ia0aLfR7dTU1OD48eMYNWqUyfFRo0YhPj6+Se+Rk5ODkpISAIYPEhcXh/Dw8Ebbr1y5Em5ubsaHWq2++w9ARK2mo3tHvNr3VeyZugd/H/x39PPtBxEiDl47iAV7F2DkxpFYfXw1MkoypC6ViCyMnTnfLD8/Hzqdrl4Xj4+PD7Kzs5v0HleuXMFzzz0HURQhiiLmzp2LyMjIRtsvXrwYCxYsMH5fd+eFiKyDUq7EmJAxGBMyBpklmdicZtgcsqCqAGvPrMXaM2uNm0M+EPQAVHKV1CUTkcTMGl7q3LoolSiKTV6oKjo6GgkJCU0+l0qlgkrFv8yIbEGgayDmR8/HC71eMNkc8ljOMRzLOYaVh1diXMdxmBw2GWHtwqQul4gkYtbw4unpCblcXu8uS25ubpMH3BIRKWQKjAgcgRGBIwybQ6Ztwebzm5Fdno1vz36Lb89+i0ivSEwJm4LRwaO5OSRRG2PWMS9KpRLR0dGIjY01OR4bG4sBAwaY81RE1Eb4Ovlids/Z2DlpJ9aMWIMRgSNgJ9jhdN5pvBH/Bob/bzjePPQmkvKTYMHLVhGRGTX7zktZWRnOn7+x/Hd6ejoSEhLg4eGBwMBALFiwANOmTUOfPn0QExODTz75BJmZmZg1a5ZZCyeitkUuk2NQwCAMChhUb3PIjakbsTF1IyI8IjA5zLA5pIvSReqSiaiFNHuq9N69ezFs2LB6x6dPn45169YBMCxS9/e//x1ZWVno3r073nvvPQwePNgsBd8J13khajv0oh7Hso9hY9pG/JLxCzR6DYAbm0NO6TwFPb16cnNIIitgM9sD3A2GF6K2iZtDElk3hheGF6I2q7HNIesGAU/uPBn3+d7HzSGJLAzDC8MLEQEorSnFjvQd2Ji6EWevnzUeD3AOwOTOk/FIx0e4OSSRhWB4YXgholskFyRjc9pm/HzxZ5RpygAAckGOwQGDMaXzFAz0Hwi5TC5xlURtF8MLwwsRNaJuc8hNqZuQkJdgPO7j6IOJYRMxsdNEbg5JJAGGF4YXImqC84XnDZtDXtyG4upiALWbQ3YYgClhUzBEPQQKGTeHJGoNDC8ML0TUDNW6auzJ2IPNaZtxOPuw8biHvQce6fQIJodNRpBrkIQVEtk+hheGFyK6S7duDlmnr29fTA6bjJFBI7k5JFELYHhheCGie6TRaxB3OQ6b0jbhwNUDEGH4q9JN5YZxoYbNITu16yRxlUS2g+GF4YWIzOjWzSHrcHNIIvNheGF4IaIWoNPrEH8tHpvSNmHf5X3QiloAgJPCCQ+FPITJnSejW/tuEldpW0RRhFavRY2+BjW62oe+Bhq9BhqdxuR7uSBHiFsIPB08pS6b7gLDC8MLEbWw/Mp8bD2/FZvTNuNy6WXj8S4eXTA5bDIeCn3IqjaHFEURWlELjU4Djf5GKKjR3RQUbgoQGr3he5MAodM0+Kex/U1/1j1f71x1x256XXN52Hugc7vO6NyuM8LahaFzu87o6N6RY5UsHMMLwwsRtZK72RxSp9c1Hgxu/aV+mzsNJkHiDsGgsUBx8/d143osmVyQQylXQiFT1PuzRleDy6WXG/wcckGOINcgY6ipe/g6+XLjTgvB8MLwQkQSKKoqwraL27ApdRMuFF8wHndTuUEv6o2BQifqJKyyaQQIUMqVUMqUUMhvCgoypeFrueHruvDQUKCoe+3N39c9X/f6JrWrayNT3HEV5EptJS4UXUBqYarJo24dn1u5KFwQ1i7MeIem7m6Nk8KpJS4r3QbDC8MLEUmobnPIjakbsevSLlTpqm7b3hgQGvjzdqGgoUBx8/eNBYWGjt96DjuZXStdrZYniiLyKvPqBZr0onTjuKVbBTgHGMKMR2eEuRuCjdpFzS0kWhDDC8MLEVmIck05rpReaTAoKGWGkMBuC2lodBpcLL6I1MJUpBWlGf68nobcytwG29vL7dHJvRM6e9zodgpzD4O7vXvrFm6jGF4YXoiI6C4VVhUirTDN5C7NhaILjd5B83b0Nul26tyuM0JcQ6CQc2uJ5mB4YXghIiIz0ul1uFx6uV7X09Wyqw22t5PZIdQttN6sJy8HL95pawTDC8MLERG1grKaMpwvOm8MM3V3bMo0ZQ22d1e515vxFOoeCgc7h1au3PIwvDC8EBGRRERRRFZ5Vr27NBklGdCL+nrtZYIMgS6B9bqe/J39IRNkEnwCaTC8MLwQEZGFqdJWGQcIGx/XU1FYXdhgeyeFk3GmU13XU1i7MKta/LA5GF4YXoiIyAqIooiCqgKkXk81mfV0oehCo6sL+zv53xhHUzvzKdAl0OqntzO8MLwQEZEV0+g1yCjOqNf1lFOR02B7lVyFju4djdO360KNh71HK1d+9xheGF6IiMgGFVcXm0zjTitMQ1pRGiq1lQ2293TwNBlHE9YuDKFuoVDKla1c+Z0xvDC8EBFRG6EX9bhSeqXejKfG9nmyE+wQ7BZcb4Cwj6OPpNO4GV4YXoiIqI2r0FSYTOOue5TWlDbY3lXpWm9dmk7uneCocGyVehleGF6IiIjqEUURORU5JmEmrTAN6cXpDW4YKkCA2kVdb22aDi4dzD6Nm+GF4YWIiKjJanQ1N6ZxX78x6ym/Mr/B9uM7jsfb979t1hqa8/vbuudVERER0T1TypWI8IhAhEcE0PHG8YLKAkOQuW66z1OoW6h0xYLhhYiIiBrR3qE92ju0R3+//sZjWr220TVoWgvDCxERETWZncxO8gXx2s6mCURERGQTGF6IiIjIqjC8EBERkVVheCEiIiKrwvBCREREVoXhhYiIiKwKwwsRERFZFYYXIiIisioML0RERGRVGF6IiIjIqjC8EBERkVVheCEiIiKrwvBCREREVsXmdpUWRREAUFJSInElRERE1FR1v7frfo/fjs2Fl9LSUgCAWq2WuBIiIiJqrtLSUri5ud22jSA2JeJYEb1ej2vXrsHFxQWCIJj1vUtKSqBWq3H58mW4urqa9b3pBl7n1sHr3Dp4nVsHr3PraalrLYoiSktL4e/vD5ns9qNabO7Oi0wmQ0BAQIuew9XVlf9ztAJe59bB69w6eJ1bB69z62mJa32nOy51OGCXiIiIrArDCxEREVkVhpdmUKlUWLp0KVQqldSl2DRe59bB69w6eJ1bB69z67GEa21zA3aJiIjItvHOCxEREVkVhhciIiKyKgwvREREZFUYXoiIiMiqMLw00Zo1axASEgJ7e3tER0dj//79Updk0eLi4jBu3Dj4+/tDEARs3brV5HlRFLFs2TL4+/vDwcEBQ4cORVJSkkmb6upqvPjii/D09ISTkxPGjx+PK1eumLQpLCzEtGnT4ObmBjc3N0ybNg1FRUUt/Oksw8qVK9G3b1+4uLjA29sbEyZMQEpKikkbXud799FHHyEyMtK4IFdMTAx27NhhfJ7XuGWsXLkSgiBg/vz5xmO81uaxbNkyCIJg8vD19TU+bxXXWaQ7Wr9+vahQKMRPP/1UTE5OFl966SXRyclJzMjIkLo0i7V9+3ZxyZIl4qZNm0QA4pYtW0yeX7Vqleji4iJu2rRJTExMFB977DHRz89PLCkpMbaZNWuW2KFDBzE2NlY8ceKEOGzYMDEqKkrUarXGNg8++KDYvXt3MT4+XoyPjxe7d+8ujh07trU+pqRGjx4trl27Vjxz5oyYkJAgPvzww2JgYKBYVlZmbMPrfO9+/PFH8eeffxZTUlLElJQU8bXXXhMVCoV45swZURR5jVvCkSNHxODgYDEyMlJ86aWXjMd5rc1j6dKlYrdu3cSsrCzjIzc31/i8NVxnhpcmuO+++8RZs2aZHIuIiBAXLVokUUXW5dbwotfrRV9fX3HVqlXGY1VVVaKbm5v4n//8RxRFUSwqKhIVCoW4fv16Y5urV6+KMplM3LlzpyiKopicnCwCEH///Xdjm0OHDokAxHPnzrXwp7I8ubm5IgBx3759oijyOrekdu3aiZ999hmvcQsoLS0Vw8LCxNjYWHHIkCHG8MJrbT5Lly4Vo6KiGnzOWq4zu43uoKamBsePH8eoUaNMjo8aNQrx8fESVWXd0tPTkZ2dbXJNVSoVhgwZYrymx48fh0ajMWnj7++P7t27G9scOnQIbm5u6Nevn7FN//794ebm1iZ/NsXFxQAADw8PALzOLUGn02H9+vUoLy9HTEwMr3ELeOGFF/Dwww9j5MiRJsd5rc0rLS0N/v7+CAkJweOPP46LFy8CsJ7rbHMbM5pbfn4+dDodfHx8TI77+PggOztboqqsW911a+iaZmRkGNsolUq0a9euXpu612dnZ8Pb27ve+3t7e7e5n40oiliwYAHuv/9+dO/eHQCvszklJiYiJiYGVVVVcHZ2xpYtW9C1a1fjX8K8xuaxfv16nDhxAkePHq33HP97Np9+/frhq6++QufOnZGTk4O33noLAwYMQFJSktVcZ4aXJhIEweR7URTrHaPmuZtremubhtq3xZ/N3Llzcfr0aRw4cKDec7zO9y48PBwJCQkoKirCpk2bMH36dOzbt8/4PK/xvbt8+TJeeukl7N69G/b29o2247W+d2PGjDF+3aNHD8TExKBjx4748ssv0b9/fwCWf53ZbXQHnp6ekMvl9ZJibm5uvWRKTVM3qv1219TX1xc1NTUoLCy8bZucnJx675+Xl9emfjYvvvgifvzxR/z2228ICAgwHud1Nh+lUolOnTqhT58+WLlyJaKiovDPf/6T19iMjh8/jtzcXERHR8POzg52dnbYt28fPvjgA9jZ2RmvA6+1+Tk5OaFHjx5IS0uzmv+mGV7uQKlUIjo6GrGxsSbHY2NjMWDAAImqsm4hISHw9fU1uaY1NTXYt2+f8ZpGR0dDoVCYtMnKysKZM2eMbWJiYlBcXIwjR44Y2xw+fBjFxcVt4mcjiiLmzp2LzZs349dff0VISIjJ87zOLUcURVRXV/Mam9GIESOQmJiIhIQE46NPnz548sknkZCQgNDQUF7rFlJdXY2zZ8/Cz8/Pev6bvuchv21A3VTpzz//XExOThbnz58vOjk5iZcuXZK6NItVWloqnjx5Ujx58qQIQFy9erV48uRJ4/TyVatWiW5ubuLmzZvFxMRE8Q9/+EODU/ECAgLEX375RTxx4oQ4fPjwBqfiRUZGiocOHRIPHTok9ujRo81MeZw9e7bo5uYm7t2712TKY0VFhbENr/O9W7x4sRgXFyemp6eLp0+fFl977TVRJpOJu3fvFkWR17gl3TzbSBR5rc3llVdeEffu3StevHhR/P3338WxY8eKLi4uxt9p1nCdGV6a6N///rcYFBQkKpVKsXfv3sbpqNSw3377TQRQ7zF9+nRRFA3T8ZYuXSr6+vqKKpVKHDx4sJiYmGjyHpWVleLcuXNFDw8P0cHBQRw7dqyYmZlp0qagoEB88sknRRcXF9HFxUV88sknxcLCwlb6lNJq6PoCENeuXWtsw+t875599lnj//teXl7iiBEjjMFFFHmNW9Kt4YXX2jzq1m1RKBSiv7+/OGnSJDEpKcn4vDVcZ0EURfHe798QERERtQ6OeSEiIiKrwvBCREREVoXhhYiIiKwKwwsRERFZFYYXIiIisioML0RERGRVGF6IiIjIqjC8EBERkVVheCEiIiKrwvBCRGaXl5cHhUKBiooKaLVaODk5ITMz87avKS8vx8KFCxEaGgp7e3t4eXlh6NCh+Omnn4xtgoOD8f7777dw9URk6eykLoCIbM+hQ4fQs2dPODo64vDhw/Dw8EBgYOBtXzNr1iwcOXIEH374Ibp27YqCggLEx8ejoKCglaomImvBOy9EZHbx8fEYOHAgAODAgQPGr29n27ZteO211/DQQw8hODgY0dHRePHFFzF9+nQAwNChQ5GRkYGXX34ZgiBAEAST8w0ePBgODg5Qq9WYN28eysvLjc8HBwdjxYoVeOKJJ+Ds7Ax/f3/861//Mjn/smXLEBgYCJVKBX9/f8ybN88cl4KIWgA3ZiQis8jMzERkZCQAoKKiAnK5HCqVCpWVlRAEAfb29njiiSewZs2aBl8fERGBqKgofPbZZ3Bxcan3/PXr1xEVFYXnn38eM2fOBAD4+voiMTERAwYMwIoVK/Dwww8jLy8Pc+fORVRUFNauXQvAEF6uX7+O1157DZMmTcKuXbvw8ssvY8eOHXjggQewceNGPPfcc1i/fj26deuG7OxsnDp1yngeIrIsDC9EZBZarRZXrlxBSUkJ+vTpg6NHj8LZ2Rk9e/bEzz//jMDAQDg7O8PT07PB18fFxeHJJ59ETk4OoqKicP/992PKlCkmd22Cg4Mxf/58zJ8/33jsqaeegoODAz7++GPjsQMHDmDIkCEoLy+Hvb09goOD0aVLF+zYscPY5vHHH0dJSQm2b9+O1atX4+OPP8aZM2egUCjMf3GIyKzYbUREZmFnZ4fg4GCcO3cOffv2RVRUFLKzs+Hj44PBgwcjODi40eACAIMHD8bFixexZ88eTJ48GUlJSRg0aBBWrFhx2/MeP34c69atg7Ozs/ExevRo6PV6pKenG9vFxMSYvC4mJgZnz54FAEydOhWVlZUIDQ3FzJkzsWXLFmi12nu4GkTUkjhgl4jMolu3bsjIyIBGo4Fer4ezszO0Wi20Wi2cnZ0RFBSEpKSk276HQqHAoEGDMGjQICxatAhvvfUWli9fjoULF0KpVDb4Gr1ejz/96U8NjlG50yDhunEzarUaKSkpiI2NxS+//II5c+bgnXfewb59+3gnhsgCMbwQkVls374dGo0GI0aMwN///ndER0fj8ccfx9NPP40HH3zwrkJA165dodVqUVVVBaVSCaVSCZ1OZ9Kmd+/eSEpKQqdOnW77Xr///nu97yMiIozfOzg4YPz48Rg/fjxeeOEFREREIDExEb1792523UTUsjjmhYjMJjs7G8HBwSgqKoJMJoO7uzvOnz8Pf3//O7526NCh+MMf/oA+ffqgffv2SE5OxoIFC9ChQwfs2bMHADBq1Cg4ODhgzZo1UKlU8PT0xOnTp9G/f38888wzmDlzJpycnHD27FnExsYaZxQFBwejsLAQS5YswYQJExAbG4uXXnoJP//8M0aPHo1169ZBp9OhX79+cHR0xBdffIHVq1fj8uXLaN++fYteMyJqPo55ISKz2bt3L/r27Qt7e3scPnwYHTp0aFJwAYDRo0fjyy+/xKhRo9ClSxe8+OKLGD16NL7//ntjm+XLl+PSpUvo2LEjvLy8AACRkZHYt28f0tLSMGjQIPTq1Quvv/46/Pz8TN7/lVdewfHjx9GrVy+sWLEC7777LkaPHg0AcHd3x6effoqBAwciMjISe/bswbZt2xhciCwU77wQkc1raJYSEVkv3nkhIiIiq8LwQkRERFaF3UZERERkVXjnhYiIiKwKwwsRERFZFYYXIiIisioML0RERGRVGF6IiIjIqjC8EBERkVVheCEiIiKrwvBCREREVuX/AQJtJVBBpHRUAAAAAElFTkSuQmCC", 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N0Jnmv+TZZrOxEmBP2FeCCtNHmSEIzTzi7YhlR6jnc3EBJ0kSHR0d6OrqQlpaGgYGBjjt85jviIbLqimKJw93YU26hFWZrnLSiIc/YR8t2Ejgty7KhIOCghAXFwelUgmJRIKEhAS6sKClpQVGoxFisXhWKbVjCknRP+FWLAgAt25Ixpa8OBjMNqRGn63Ou3NjGvo009CZLLj3nUaP77mNBB75ZP4LA9imzrxFEB7PCEIzDzj2xrD9gNlHNL5gNBpRU1MDg8GA9evXgyRJ9Pf3+3RMR+YzouGjagrwrUz3H9/0gItf/3uvKrDHTRqPIAiEhIRALpdDLpfTFzfKlbq/vx9Wq3WWOejnHTq3IkgAeHNXkUuBlYtDaMF4eFs2I4FfiBTafAmNI+6Ep7e3F1NTU1i+fPk5NX1UEBqecRyx7Mt8DS6EZmxsDDU1NYiJiUFJSQkCAwMxNTXFefThSWi0Wi0sFgvEYjHj98PV8XrV07xUTQFny3TtIwtP6336SCf2VbuudPMWV2k8Z+8HQRAICwtDcnIybQ6q0+noiOdoXTcer3G//vs3ZTKO4q4pSkR5lgx/PtiGz1vVbp873yk0LlPMvmD/nafaGKgCnHNl+qggNDxh3xDG5dwYNpb+1Hra29vR3d2N3NxcpKSk0Othe0xPa3V2IaQmcba1tdHpBPtRy2FhYS6P54qGoUnO1u0M+8imROr+uU8f7cKLxz1Hh+VZUiREhaBtRIf6Ia3H5ztL4zEpCiEIApGRkYiMjMTpsUA8XjPu9vn3nJ+CKwricap7fJZbc1GKxGXaSy4Owb0XpuKL1jGQTgoCKOY7hbZQEY07rFbrHLNPd9NHl4rwCELDA3zNjaGO5a0oUKkyo9GIDRs2ICoqas4x+eh5cTym2WxGXV0dJicnUVpairCwMNqKf2hoCC0tLbOMKSkDS1fHA2YqzGbu+N1DAPhBeQrKsmSo6NLg5eN9XkVBJGYuki/tSESEiz/l00c6GYkMABzvHGd+crhO4zH9XCknjR4LE24vCEJDRy/+dsx5McVt65OxJT/OqaNCfGQQvrucxL/aCbdptPlMofmz0NjjypnaXni++93v4tZbb8V3v/vdhVi2zwhCwzE2mw1K5UzaRCaT8WLp743QjI6Oora2FrGxsXSqzBEq+uCybNpRvCYnJ6FQKBAREYHy8nKIRCJYLBZIpVJIpTNlvJQxpVqtRldXF+rr62l/MJPJNEdomFR1UZvaN6092xuzNl2K60uS0KeZRmiQCO8rlHiXQarLRgLNKiNK4+devJhGMr7gmMbz5u/1wjc9Hp/zSoMZgOsL896TA3TPjf14ALk4BDabDeVyAsWFufjJ+81uzzNfKbTFIjSOOBMepVLJuSnrfLJ4V+5n2NvIDA4OIiQkhC5H5RKmQmOfKsvLy0NycrLLi5J9NRuXwkgJQ39/P5qampCVlYWsrCwQBEFHe/Y4GlNS83fUajVUKhWsVitMJhNkMhksQZF4xENVl7tNbfsN7cIkMVKjw1za1Njz2Ldq3Fkcifz8s495E8n4in1kk8kwCn21opeRkHq7jr0nB/D6qQH8dms2Ll0WCZFIhKIUCUQE3EaL85VC81eh8XZ8BEHMDNoLDw/naVX8419/hUUKlSqjGjADAgKcXki5gEk1l8FgwOnTp6FUKrFhw4ZZ+zHOsL9z4nKdAFBXV4fW1laUlJRg2bJlXgkZVU2Vn5+P9PR0xMTEIDY2FhMTE/jP8Xq3FzMRMVMR5SgyykkjPmscwWeNI6gbnMSp7nEoJ43YVZaKN3cVudlhmIEE8EK1FspJI4AZH7X5Ehn7NTzySRvG9FaP76dy0sgotcgW23/dmr+q7QJJkoiPDMJvt2Z7fB9tJNCnmeZtXYB7r7OFgk2BAlXQ4ZjyXkwIEY2POOuNCQgIoEuZucZTRMMkVeYIdbHiskpnenrmIqLT6VBeXu7z9EnK0j01NRWnxwKxt2Xc5XMvyozETy9fgRRZ5Czrl0ONo06bOQkA3ymSY12mFPdvysCTh7vdRjaUh9dNa5Px5OEun34vtthI4D/tRqxc5v6S/uYpruxlXEMC+PnRcVyVZgVJHsMyqRQ/PT8W/3ds1OVrCACp0c4LP7jCXyMaNmvS6XSIiIjgYUXzgyA0LLHvjXG0keHLk8zdsW02G9rb29HT0+MxVebsmAB3EY1SqURdXR0AoLS01GV3NpvzeeqZIQBsTTahVXEKr4yGYl+bhdGUSPuu/G0Fcfi4QeX2Na+d6EeyNITz3h1vONpvRVLlKH6+Te7058pJI/ae9D7asm/WHBw34GT3BCM3gAO9AUhNTcLW6GAkTo+BAOm2Cu14p5rXfRp/FRo2N3N6vV6IaM41HEcsO1aV8TUJkzqX47ENBgNqampgMpmcVpV5wj6i8QWbzYaWlhYMDAwgLy8P9fX1LsWOjakmSZJue2Yo25biLBme+6oT77W5FwtXeBIZYEac/vBZh9fHvq44AVcXJdIX8H3VQz6J1VsKNSLCO3HvxXMdkvfsb2B8HPuqPHsXgMIkMS7Lj6fdAEKDRDjUNIrXTjivTHv220Gct6IImzak4Tchg/jdJ+1On0el//jcp1kqQmMymWA2mxEZGcnTqvhHEBovcDVi2ZH5jGhUKhXq6uoQGxuL0tJSVpUpXFjbGAwGKBQKWK1WlJWVITg4GPX19Zzu+5AkiTSZ63TLLy5bhq7RaTz88ckFjTSccZtD5Zv9BfzN0wMuL9xMePF4P6JCg2Y1dD56sA11g577c5xV5TnDsXhiS14svveqYs7z7IsVvlOchMiQQJdVaDYSOPhtJTZkxTgtZ/cF6rvqb0LDJj2t1c78HQWhOQdw7I1x1+EvEol4LQaw2WxzUmUpKSk+HdMXyxhqXyguLg75+fmz9qi4EhrqvX7mqPM9EQIzEYa/Ccy2gjjctykLcnEIlJNGuhHSfsrnlrxYJEtD8GHtMGoZiIMznjjchbBgEQoSo/DmqX583OB6fwRgLjCuKEwSY8+mDKeFBvZl2O6q0AgAWWkpIAgDXc4eGRlJN/BKJBLWJb3U587fhIbNHo1WqwVBEIu66kwQGgbYj1hm0nzJd+rMaDTi9OnTMJvNKCsr4+ROh407gL0xp6PYcWkAStGuNuNA3ficx6m/BpMzUS7E6zOikSQNcZsG8pXriuW4ukiOXvU03qkaxEvf9vEqhExTedcVy3EnB0PeZvzXCKdl4faRzX0XuxakH/2ne8alev0KmEwmupzd3hyUinYkEgnjizT1WfZHofE2oqFKm/3td/EGQWjcwHTEsiN8RjQWiwUdHR2Qy+XIy8vjrInLW3cAk8mE2tpa6PV6pzNsuBYagiBQPWx2+rOsmDB0jLkulXW1/wDM3JnftDYZNf0TnOyZ2PNuNbNG0PlmX7USIIF1mVK31jJM2FWWijXpEtz0qsKp2Dz8cRt+cfkyl6937KlJSEhAQkICgJnKRcqjbXBwEBaLBRKJhI54oqKiXH4fl5LQaLVaRqO9/RlBaFzgi40MHxGNzWZDW1sbJicnIZfLUVhYyOnxvYloxsfHoVAoIJFIUFZW5jSvzrXQfNY6iQ/aTU5/5kpkvNp/yI/nbM/E33GssnNnLcOEwiQx7jsvHk99O+JUbB79rAMEXEecVE+N43nDwsIQFhaGpKQkkCQJvV5Pu1L39vYCwCxXavuLsT8KDbVv5K3QLPbSZkAQGqd4O2LZEa6LAaiqMrPZjJiYGF7KHJlENJTNeWtrK5YvX46MjAxGbgO+opw04q/HvasguywvFg9esszri6ZcHIKb1iajIDESR1vHGFWgLXbcWcsw5bLsKEihw8Pf6pyKDXVsZ58GAkBokHtBIAgCERERiIiIQGpqKkiSxNTUFDQaDcbGxtDR0YHAwEBadEJDQ/3OhJK6JggRzTkO2xHLjnApNCqVCrW1tUhISEBeXh4aGxt52f/xVAxgsVhQX18PjUaDNWvWIDo62qdjevO+9qqnvYouCICVyFATOl8/1c/b2AF/x36ctTeCY7PZsFwW5HY+zdaVcfikXuVUiP7fXgU9UZQJBEFALBZDLBYjPT0dNpsNExMTtEHr5OQkSJJEU1MTLT4hIfM3dM0Z9tkRb9Dr9UJEs1Tw1BvjDVzs0VCpst7eXhQUFCApKQkAP5b+no6r1WpRXV2NkJAQlJeXM/7CcjX8rGFoivFzqV4apiJDOQec6NbgxW/72C7RDSTgpmnxsrxYbC+Mh9FsA0AgSRoCg9mG0CARBscN+MkHzZwMUPMWe8H5QXkKNmTK3KbVqHL/a4oSkR0f4bT0+ZOGuSJD4av/GTVugroB0mg0qKurQ1BQEPr6+tDY2IiIiIhZ4675GPPsDrZCQ0U0i5lzXmiY9sZ4g697NNPT06ipqYHFYplTVcZXj46r1Nng4CAaGhqQkZGB5cuXe/XecCE0ykkjI5sXpvsxjpY0/Ecv7t+vg02jONQ06jR6KEwSQ2eycjKi+leXL0N+YpTXVXYkZvp0Xjze7zatZt+zUpgkxm3rk+l0HH0sDyd1tVfDlsDAQCxfvhzAzIgKqrCgo6OD7rS3Fx6+h6RRhQDeXl90Ot2i7qEBznGhcRyxzIXIAL6JwcjICOrq6uhUmeOHn6/ZMY6iYLPZ0NTUBKVSiaKiIsTFxbE6Jpuf2aPon/B4UfQ0epji1Yo+Rg7N8w0VPew9OYDb7C7kykkjwoMDcPEKGQ57mF7piT981oGHt2Xjgc1Zs6rsmFjLOK7TWVrN0fn7pnUpeP3UwJxjuytFFxHc+Z85NmsGBQUhPj4e8fEzc3DsncGbm5thMpnoirbo6GiIxWLOCwnYegnq9XpBaBYr9r0x9rMfuIASGm9s912lypwd22x2XubrC/biqNfroVAoQBAEysvLXU699ISniIbJe3Oqa9zjc27dkOJWZJSTRrxwrIeusvJnKMFZLQ9DjZI7d2PHWTb2VXZMrGUcj0UJzv2bMrCrLI3e06SQi0Pw261z92vcJRK/X8auedQZnlwBKGdwuVwOkiRnlVL39/fDZrPNqmiLjIz0+Sb0XDXUBM5BoaE2/Lu7uyESiZCUlMR5NQd118L0DoZKlVH2Le7uXvhKnVGiQEVUiYmJyM3N9UmAfU2dKSeN2FfjXhwIADetTXb5+jdPDTh1bOaK9OhQ9GgMnB+XS5GhcDal09Fa5qa1yXjhmx5G/T8k8N9GTALnx9nmfI+uKUpEeHDAHAsaV3+Ll473IyU6jBOjTW/sZ6iu+/DwcCQnJ9O2/FTE09XVBYIgaNGJjo5GeHi419cNtoaaWq12URtqAueY0Nj3xkxNTfFW/kh9wJkIDXVhl8vlyM3N9fh8Pn3UBgcHMTY25jai8gZfhebNU/1u8/ruNv5frejDEyws/AkAJaliVPZNMno+HyLDJ46RjSNycQh+s3UFUqPD8NSRLkZptScPdyFhcwyWy+ZurjMZhGa/Nq6MNn3xOSMIApGRkYiMjERqaipsNhtdSq1SqdDe3o7AwMBZI8eZjMFgKzQ6nQ6JifxOI+Wbc0ZoHHtj+BxORn3ArVary8oWm82G1tZW9PX1eXVh50NojEYjdDodDAYDZ5Y2gG9CM2Nx736Wyl+vy8dF2bH086lN/verlYzTZPaW+AazDTqTBfe808hqzYsFZ5GNI7vKUnFFQTyjtBoJ4KdfjmFHTgR+JDfOEglXKTRXcFUQwKWhpkgkgkQigUQiQUZGBqxWK11KPTAwgObmZoSGhs6KeJxN0fRlj2Yx+5wB54DQuOqNCQgIgMnkvNPcVzzZ7k9PT0OhUMzMWS8v9yr/ynV5s1qtRk1NDUQiEbKysjjddPRFaH7+QZPH59z7TiPu35QBV35bLtcF55Y07ymG8PDH7sdDLxWoyMZd9OBtWu0/LTocaDk5p1CAKnl2ZlPjDE/Nm0zg07k5ICAAMpkMMpkMwEyP2fj4ODQaDXp6etDQ0ECbg1IVbYGBgT5FNEIxgB/jzkaG73HLrkqch4eHUV9fzzhV5ghXEQ1Jkuju7kZ7eztycnIwMjLCeRqRjdAoJ4146nAnzjBIXZ3dI2C4Hrguga4bnPS5jFhEAMWpYlT2Mku7zReuOvJJAI9/0cG4udU+reZK2J0VCgAzQuWumdMeb5s3nTGfIwICAwMRGxuL2NiZ6JoyB9VoNGhra4PBYEBUVNSsTIc333tBaPwYZyOW7eFTaIC5gmA/FKygoIB1zpWL8maz2Yy6ujpMTk5i7dq1kEqlGB0d5bxs2p3Q6PV6jI2NQSaT0Q2gVETBl5OyK8ditvs59lCWNwBw6TMn3T53eWwYOsecD3DbVhDntrGRDTOVXs6nXR5sGsXnzaNeXdjdGWnan5MqFKDm5LgqDnDE1+ZNYGGHngUHB88yBzUYDLQ/2/T0NI4dOzarlNpehJwhlDf7IY69Ma42/Pl0WHY8vl6vR01NDUiSRFlZmU+lir5GNJOTk1AoFAgPD0d5eTmdS+bDccCV0CiVStTX1yMkJARNTU2IiIjAGBmJh78c40VkthXEuhGZXq+iImc4Wt7s2ZTpVrjaR6eRmxCO7xQnggQwZbBArTMjPSYMBYlR0OgtON6l8WlNjpAgsDYpFKcH5xYv2Ej3BQLOYBqhPHm4C2vSJfRxmRYH+LpXw3Y/hA9CQ0ORmJgInU4Hq9WKlJQUOuLp7e0FSZKQSqV0cYG9rxlVASeUN/sRVG8MdcF014DJd0RDpc6Gh4dRV1eHpKQk5OTk+Pzh90Vo+vv70dTUhKysLGRlZc16b/hoBHXWBNrW1kYXQERHR8NqteLNii785Rh/PS4fN4zi44bRWc2QwEy6zFeRcVb5NnMHT7o9dvOwHr9nMQraF84MGdym0W56VYEHLkzETRsyGY2fuKYoEeVZMrx5egB7T/Q7fQ4J4HuvKma9967m09hDwLfmTX+crmm1WhEYGEibg6akpIAkSWi12lnmoAEBAYiOjoZSqURiYiKmpqZ8Lm/++uuv8dhjj6GyshJDQ0N4//33sXPnTrev+eqrr7Bnzx40NDQgKSkJDz30EHbv3s3q/EtCaOxtZJg6LvM5nAyYucj29PRArVZj5cqVkMvlnByXjdBYrVY0NjZCpVKhpKQEMTExTtfLp9CYTCbU1NTAaDRiw4YNCA8Ph8lkwti0DU/wKDL22He1yyKC8CQHkcwbtzl3JNhVloYrChLw1OFOHh2g3fuozXk2CRBu/PpJAH/5agg2dT9WJYvpuS/uuuTl4hA8sDkLxRET+KwP+LTVuS/d3pMDeP3UAH67NRsFiZ6jpi15sQx/K+fYbDbOZjVxhdVqnVONRhAEoqKiEBUVhbS0NNhsNkxOTkKj0eDf//433nvvPYSFheHxxx9HT08PNm3axCrtrtPpsHr1auzatQvXXnutx+d3dXVh69atuOOOO/DGG2/g22+/xd133424uDhGr3fEvySfBdSGv8lk8spxmc+IRq/XY3p6GlNTUygrK+NMZADvhUan0+HEiRPQ6XQoLy93KjJsjssESmgmJiZw/PhxBAUFYcOGDbPyzT//oGleLWGozeonDnf7vPH/8LZsl6kmqtz6pnXJ2LRC5sOZnEMAuDTJ5oXMzECSwONX5+G2DSlOX0sCeKIuAN+MhmJ6ehp1dXU4duwYampq0NfXB61W6/SGRBZK4L7zErBnU6bLNVEpOr3ZApGHhR9sGsVlfzuJ9xRDXv6G/z2Xn0Y0TPrkpFIpMjMz8dJLL6GrqwsikQjx8fF46qmnkJKSgp/+9Kden/uKK67A73//e1xzzTWMnv/8888jLS0NTz31FPLy8vCDH/wAt99+Ox5//HGvzw0s8ojG2xHL9vAlNNT+Q1BQEJYtW8Z5btWbvRRqLSkpKVixYoXbLx5fEc3o6CiGhoaczq/5v0PtjKrL/AkCwJUrwnHPZYVO9w/ma9QACeCLQRGuXh2P92pGvHrt4IQBD2zOwpa8WJcb+i+dGYNYnInbNuZDp9NBrVZDrVbPmvtC7SmEhobCZptxBvBUKEACuOedRlyaG4MvW8bcvke+FAX4o9Cw2TcKCgrCxMQEfve730Eul0Oj0UCr1fK0wrNUVFRgy5Ytsx677LLL8PLLL8NsNnvtfL0ohYbtiGV7uE6d2Ww2NDc3Y3BwECtXrkRfHx+W88z2Uqhm0P7+fsZpO66LAaxWK/R6Paamppym6576sgP/qvR/7zFHHiiLxobkYN6q17yBBIH3vRQZAHjqSBeuKIj3uKFvv5EfGRlJp3YcmxXDwsJgsVig1WphsVgYFQp83jyG761JxL/OuB+dzbYowB+Fhk0fjU6nAwA6C2A/CoFPlEolXTVHkZCQAIvFgtHRUa/Td4tOaHwZsWwPl1VnlAklAJSXlyM8PBwDAwO8REyeUlwGgwEKhYL2TWMaUXFZDDA9PY3q6mpYrVZkZ2fPEZknv2jHP77p4eRc84mIAHLjQuBsk4OL6jVXEADKsqSo6Bx3OjTM3ZhkZ9hIoKZ/AvL8eLfzY5xt5NvPfcnKyoLZbMb4+Diam5sxMjKC/v5+REVFoUgmw7u35OLDlkm8fnLQ6freOuM5Lca2KMBfhcbbNel0OohEItbGtr7geF2lrg9srreLSmg89cZ4AxXReOOw7AwqPZWUlDTLhJLPuTGujjs2NoaamhrExcUhPz/fq7snx4hGOWFAt1qP8KAA9I9PAyRQkiaFXOLe02l0dBQ1NTWQy+UIDAycsyH75BfteP5YN+N1+RO3rE9BbDiJ4UkjPmuciSSSpaFoGJriRWQcG0zrBiedpqTY3B489EEzdCYrrilKRGGSGHs2ua4EczdxMygoCHFxcejq6kJmZiaioqJoM0rN4CDWBFqQdV4UfvutjsUqZxwc2JQ4s3VK5hO2Ec1CjHGWy+VQKmdnHEZGRhAYGOhyn9cdi0Jo7HtjfBmxbA/1B6dKDr3FMVXmmJ7iq6rNmdCQJInOzk50dnYiLy8PKSkprI5rNpuhnDDgtRO92FvR6zR/fnt5Gm7dkDZHcEiSRFdXFzo6Oug1nDlzZlaU9PI33YtWZACgNE2MV6t78J8WHYBRXs5xXXEiri5KgMFsm2WPA3jXXe8Jx/2PmQ5+11Y+rjr+6Z//93tJ9YwkJibOckH+7tgQ/tU8DW+q5ADg5Qp2js7+GtF4KzTUdM35FpqysjJ8+OGHsx47dOgQ1qxZw2oyqX/9JZxAbfh7asD0Fnuh8Ra9Xo8TJ05gYmIC5eXlTvdA+J6EaV82XFlZiYGBAaxfv56VyAAzEc0HzVpc+MQ3eOW4c5EBgFeO9+LCJ77Bnw62Qjkx0/xnsVigUCjQ29uLdevW0WuwLzBQThjw2OftrNbmL9zzTuN/RYY/3q0eQrtK59K1+pqiRLy5q8jrajNnUCk0il1lqR6PTXX8P/JJK5STxrPHss0dE0C5IKempuIX167D/RdnslrjI5+0zToXo9f5odCwKQbgqllTq9VCoVDQKf6uri76OwsAP//5z3HLLbfQz9+9ezd6enqwZ88eNDU14ZVXXsHLL7+MBx98kNX5/Tai4WPEsj3UsbwVGipVlpycjJycHJcfZr6cB+xHEExNTUGhUEAsFqOsrIz1DHTlhAHPnBjFZ23Mq1leOd6LV4734ppV8dggHkeSNGyW0wAwW2iqeufuLwg45zcfzRh7uhqdXJgkxj0XpuLpr3rhbYTgiH0KjTo2k6hpX7US+6uV9PqYpKBvL0/D2gwpY3NNCseCAHun7mmTjf7fNNnZCNAfhYbtHg0XEc2ZM2dw8cUX0/+9Z88eAMCtt96KvXv3YmhoiBYdAMjMzMQnn3yC+++/H3//+9+RlJSEp59+mlUPDeCnQkOSJCYnJzE1NYWYmBjORQZwb3zpDKvVipaWFgwODqKwsHBORYYjfJVPU+9Db28v2tvbnZYNe8O7lQP49QH2vSzv1Y7gPQA3lMYidYUNcrt+NHuhOdzCV9Pi0sVduio/IQK+igzgvITYvuPf3cRN+/VtTgHuTrfAU0EUm/QfAUAWZAVJkth7ot9leo8S5i35cWgasyA62QoW2wm8QN04L1REc9FFF7kt9tm7d++cxy688EJUVVX5fG7AD4WGimI0Gg06Oztx3nnn8XYupmKg0+mgUCggEonoqjJP8DVymRLGrq4ulJaW0lblbKjtn8CvP+SmYfLtykG8UzmI/70qD9eVzky8pITmyS/a8WHdMAdnOTeh0lW9GgPu+q9nW4o01KVRpjsIAnPScvZVaBRUxz+TiZskgC/6gS/2NuGO8ilsyJQ5jTIovB0bUJwQgLe+qkfLOIEatevnUcJHzTF6qqYZv91q5WRip69Q1xm2ezSLHb8RGsfemKCgIF69yABmQjM0NISGhgaPqTJH+EidabVaVFdXAwDWrFkDsZiZAaIzfI1knEEC+PWBJpy/PAZySSgIgsDeylH8u27C42uXGptXyPD989JgMNsQGiSi//cfx3rxVbubq6Ub7NNV166KxY3LSPy7g/Dqb0iSzsuhHVNoFExGA9jz4vF+vHj8rO+ZfZQxMD6zp5csDcW0yYYflKfMeq4rqoatqGIRvbExC+UL6gaRTUSz2J2bAT8RGme9MdSgID5xJzRWqxXNzc1QKpWMUmXOjs1lMcDg4CAaGhqQnp6Ozs5On3yclBMG/IajSMYREsCD++vwxu1r8a8GLd5vmebhLPPPdcVyyCUheOao5/6fovhAbMkKhck44+UGnL24fqdEjq/b1azfe/u79k1JwNPX5+Pedxq9Hvr20vHZKTHqouyqC5+auOkpneZuvQsB1Qu0x0ml3HxitVpZbQHo9XohouECxxHL9oPJqEozvnBVGWafKisrK2M1RpWrqjOqjHpoaAirV69GfHw8enp6fDp2Ve84r/Yop3smcOOLp1DdvzREZs+mDEjCgvBbD9M3M2NCkS0Lxedt41B8NghgAFzso7ji8KAIR95pxCW5MfiimdmIBRIzJcPfKZbPSYeRAN48PYAHNmc5fa19Os1bwVloHGfjzDdsbLKAmSzGUohoFqwsg+qNMRqNThswqWiDa/8te5xFNIODgzh+/DhiYmKwfv161rO6uRCa6elpnDx5EuPj4ygrK0N8fLzPx363cgB79tX7tC4mVPcvLg8zd6xJl3oUGQDoGjPgUJt9dR3/vQ8kZuxc1mVIGL/GRgL7Fc73XF470Y+6Qfd/O0pwDt2zHtcVc2cYyzdPHO7CYUUHpqfn/wboXB7jDCxQRMPERoZKDfE5wMheaKxWK5qamjA8PExHDr7g6x6NSqVCbW0t5HI58vLyZu0NsbWL8SZldmluLG5Zm4jjtS0QgUB5US4Ot2nwyvHeRXMXyxX372tc6CV45GS3d/tgNhLYkCHBCYfXeZNqovZvUqSheOpIl9eFCQvBfR8P4MbmPlyUFgyZTEYbg7JtDWAKW6GZnp5GaurCRGFcsiBCQ4mKp8FkAPs/EBMoodFqtaipqaGryrjwFWK7R0OSJNra2tDT04OCggIkJSXNeQ5bA8zXTrhuxLTnsrx4/OaSJNTU1KAkLR5B0UkIDg4ECXZ2J4ud4SnTQi8BALAiPhxtI3rO/gaOImPPE4e70TKsw32bsjxawNy6PhnSiXYkrliFyLBguvDhUNMoXj/Jr4u1t5AA3u4U4eoNmQgwa9HV1YX6+npERUXRjtQSiYTzaw7bG2atVss6q+JPLNgejae7cuoO3mKxzBkWxOUaNBoN2trakJaWhuzsbM6avNikt4xGIz0crKyszGXIzObYygkDXjne6/F5z313FdKDplBdXY06cwJe+GgYJCmUJvsDrSN63HFeKsb1ZrflxlzxcYMKHzeo5kwmdcRms0EaAqxNl84qUilMEuOmtcno00wjNEiEwXEDAAJJ0hAMjhtwpG0MH9fPf3+VjQR69QG4LD8bwMz3jhqt3NTUBLPZDIlEQgtPVFSUz318bL3XhNQZzxAEwWvlmdVqxeTkJKanp1FUVORzqswRb1NnGo0GCoUC0dHRKCkpcVtVxkZoDjd7/kJfliaCVN+POtUkTmjj8X6t9xb0Ap4pTZOgqneCVWTy0rd9+PDOIsSHE/j7t+yGgnmLO1NNwL2rr1wcQj+/MElMz+t57eTCFhL85P2z5dwhISGQy+WQy+UgSRLT09P0/B2qW95+/k5YWJjXwiPs0fgxfHXXU74/FosFSUlJnIsMwDx1RpIkuru70d7ejhUrViAtLc3jh9hboXm3cgCPfNLi9jkEgAKJGS9UT+FIrwWA0MnPF5W9E9hWEAcAXo95JgE88VEVrl8RhN+tsaHBHIt3atiXS3tzXvtxzPb9NpTQuLtj9xeBoSDhfKgaQRAIDw9HeHg4UlJSaKsnjUaD4eFhtLa2IiQkZJbwMMm4sBUaobzZRxZq3DLVj5KWNrPRyVcJNRMxMJvNqK+vx8TEBNauXQupVMro2F5N2fxvAYD74wF5EhueqBMB4N7NQGAuHzeoQAAoTRWj0sspo0cGRbh5fQKizf0oCZ5E2AormqeCcGKIexNXR5w1QVKfRWffab4FZtvKOHxSr2J1bBsJvPBND36zdYXL54hEIkgkEkgkEmRkZMBqtWJ8fBxqtRo9PT1oaGhAZGQkLTpSqdSpoLDZo6Hcr6Oiorz+3fwNv45oAgMDORMC+6qyoqIixMXFoaOjA0ajd66wTPGUOpucnIRCoUB4ePgcM0omx2YqNN1qvdvNWAJAZgTQOO5fBoSLkQuXR+M7JYmo7J1ktAlOAqjsm/R6cBkJ4GifGZ0DAfhWaYGNDADAv8jYn/+mVxV4eNtMZEONCHBkPiaOflKvwv2bMqDWW1j19bxbrURqdBjj/pqAgADExMTQM1lMJhM9f6e5uRkmkwkSiYSuaKP2d4Q9Gj+Gq4iGSpUFBgbivPPOQ2jozCwVvqz8AfeD1fr7+9HU1ITMzEwsW7bM63yvN+XNGTL3FSspkUAn/yPIzwm+atfgq3YNLlwejb9el4+I4ECEBonwvkLp0SvMW147s7CpTRLAbz9ug8lqQ5YkEG0TBGIGJ2k35ferlXjXRa8OU6jBb81KrcsKORLAk4e78eauImzJi3U6KdQT1GhrNgPWgoODkZCQgISEhFn7OxqNZtb+DlXU5O2gRUFofGS+UmcDAwNobGxEeno6li9fPuuugq89IOBsvtr+g2W1WtHY2IiRkREUFxcjNjaW9bGZCuSTX3a4/XmfIDKcQwlOgTwCN6xJgiwiCJtyZDjc4t7jzNvIxh/4w2fU54vA0/UKzo5LAHhzVxHiIkPw7NfdAFyXYttHWO4mhbrCcQwBWxz3d0iSxNTUFNRqNfr7+6HRaDA+Pk6n2WQymdtMBpU6E/ZoeMYXGxqLxYKmpiaMjIzQqTJnx+dbaCjXA8rWJiAgYFZUxfbYTISmtn8CH9TMT2WSwFwalDp6tgxFQWIkGoacq/tiExm+oPzYDjWOMt7boSKsZ67Px53rYvHCKe8moFZ0abA2Xcpita4hCAJisRhisRh6vR6hoaGQSCR0tNPY2IjIyEhadBz3d/R6PUiSXBJ7NH6dmGdb3qzVanHixAno9Xqcd955TkUG4Fdo7BtOh4eHUVFRgZiYGKxbt84nkQGYC82Htfz3Wgh4hyuRETgLiRkX6L0sCgjueacRlf063F8S6pVPwUvH+7ye4ukNVqsVQUFBiImJwfLly7Fu3Tps3LgR6enp9Kyrr7/+GlVVVejq6kJdXR3Gx8cBgJPU2bPPPovMzEyEhoaitLQUx44dc/nco0eP0s309v+am5tZn3/Jpc6o/Q9nqTJH+JqCCZz9/dra2qBUKrFy5UqnI5/ZwERofvpegxDNCJyTVA5Oo2oQuLIwHh/WjTCLiBhUoPmCs2IAZ/s7VGHBzTffjOHhYcTGxuLll1/Gli1bsGLFClaNo2+//Tbuu+8+PPvsszjvvPPwj3/8A1dccQUaGxvp6ltntLS0zBpF4uqGnQl+HdF4IzQWiwW1tbVoaWlBUVERVqxY4bHKg2srf3uoaja1Wo2ysjLORAbwXN4spMzmn8wY36JUAW4hAXxYN4Knr8/HbRtSGEU371Yr8WpFHy/r8dRHQ+3vJCcno7CwEGfOnMETTzwBq9WK//znP1i9ejXS09Px2WefeX3uJ554At///vfxgx/8AHl5eXjqqaeQmpqK5557zu3r4uPj6UZWuVzuky2PXwsN0/LmqakpVFRUYHp62m2qzBG+UmdjY2M4fvw4CIJAYWEh55t5niKayt5xTs8n4JnuMQOeuT4fv7p8GVbEL/7NW1/YuSoel+WxK3ThEhIzqTSQJJ6+Pp+R2Dx5pIuXFJq3fTSBgYHIyMhAWFgYPv/8c2g0GrzyyisoKCjw6rwmkwmVlZXYsmXLrMe3bNmC48ePu31tcXExEhMTsXnzZhw5csSr8zqyqFNnJEliYGAATU1NyMjIwLJly7yqVedaaEiSRGdnJzo7O5GXl4fW1lafPZKc4am8uXdMx/k5BdxDXdRuW5+Mv9+wEiqtEYq+SbSMaPGfc8zK5wMOf18CwHeK5VifEY0kaQj+eLAddYPe7XNRjgaX5Mbg8+Yxt88lSeDN0/14YPMyH1Y9FzbOAPYVZ2FhYbjkkku8Pu/o6CisVuucwY0JCQlQKp3v4SYmJuKFF15AaWkpjEYj/vnPf2Lz5s04evQoLrjgAq/XACyCqjNXQmCxWNDY2IjR0VHWpcJcCo3JZEJdXR20Wi3Wr18PsViMjo4OXlJzIpEIZrPzDv6/H27BW2cGOT+nADOoaZKUEeXN61PwowszfRoUtm1lHGfmk1RFF5MRygsB1TuzJS8OBrMNqdFhs8qO77s4C99/s9br49pI4AsPIkOx98QAblrr2kSUDWwaNvV6PcLDwzm5WXU8hrt+npycHOTk5ND/XVZWhr6+Pjz++OOshWZBU2ee3kBX5c1UqsxgMKC8vNynfhSSJH0Wg4mJCTpVVl5eTm+g8VVs4Cp1VtPWi6e/8uzQLMA/e08OYMszJ/GXL2b6TKhBYUz3C+z51Es/NHfcvykT916chc/vWY9tK9lv7nINAeC2Dck4dM96PLB5GQqTxFibLp1zsU+TsR/h4Y3Iv3ma29HTbCIaLqZrxsbGIiAgYE70MjIy4tV4+g0bNqCtzfPwP1f4/R6N/YWaJEn09/fjxIkTkMvlWLt2rU+lwtQfnq3QkCSJ3t5enDp1Cunp6SguLp41QImvYgNHobHZbGhqasI/jrRiPqY6CjCDMqL0VXBsJHBeptSntRDAf4eZzVityMUh+L8debijPMWn43LBd4oSaIHxFEXIxSHYsymT9zW9frKf070aNl5nXDRrBgcHo7S0FJ9//vmsxz///HOUl5czPk51dTUSExM9P9EFiyZ1ZrFY0NDQgLGxMZ+66h2PD8zcbbiz5XcGtR61Wo3S0lLIZLI5z+HL4sb+uEajEQqFAiNaMw4LGTO/hBKc104O4P7/Tq58YHMWblqbjBe+6WE0W+bbrnHW56e67CkTTHvuvTgLIAi8+C0/1VaeWC4GMjGMo5U6xEdLEBQWiezEuZGMPbvKUjFlMPOa/rNxuFdDZU3YCA0XPTR79uzBzTffjDVr1qCsrAwvvPACent7sXv3bgDAz3/+cwwMDOD1118HADz11FPIyMhAQUEBTCYT3njjDezfvx/79+9nvYYFFRqCINxualNCMzU1BYVCgZCQEJSXl/vc8Gh/fsrwzhu0Wi2qq6vp9YSEOP9S8JU6o8qbqRk2MyZ/y0B+reD8XALAjFT4HimSmJlc2asx4K6N6fQo5NToMDx5uIsXZwARAfx2a7ZTkaG496JMjOvMPnuTsaF9EnhMAQDa//6b4aoV4bhpTRJWpMY7vQlckeD6AkwAuGx5JA62a12+p0zsfl7jaK/GfmS9N3BlP3PDDTdgbGwMv/vd7zA0NISVK1fik08+QXp6OgBgaGiI9mUDZvabH3zwQQwMDCAsLAwFBQX4+OOPsXXrVtZr8OuIRiQSwWQy4cSJE8jIyMDy5cs5reIiCMJrMaDGDDBpCOUrdUYQBPR6Pc6cOUPPsKkb8M5qnktiIoIwplvK4wW4TUfuq1Zif7WSHiS2qywVVxTE+1Qw4AwCwBu3OY9kHLnz/HTsUyj9xgbnQKseB1rbsSW5FcVJ4chJjsaKlHhERUV5vGCTAIqTwnDL+ctdmmySAO69KB1PH+1xexwuPNCo68tCRTQAcPfdd+Puu+92+rO9e/fO+u+HHnoIDz30ECfnpfBbobFYLGhvbwdJkpylypzBVAxsNhuam5sxNDSE1atXMxqWxkfqzGq1YnBwEHq9HuvWrUN0dDQAYF8Vt5uX3rC0RYYfnA0So9Jpv/24Bcc7x306vqtIRjlpRK96GmHBIgyMGwAAydJQTJtsflmNdmhAhEMDBuD0EDYnD+HiZCBLHg15iNhtVPJ/X6vwcJQUt61Pxt6Tzr8bzxztQXmmFMfdpCVDg3zfxrZarfRNrTdotVrernvzzYKnzpxBzWqhUlLUxZQPmJQ4T09PQ6FQgCRJlJWVITzcvfU+BdepM71ej+rqathsNkRFRdHvy5NftOPtSmGDZjHiOEhMpTWiwkeRAeZGMtQAstdPeZ6T4698OTDz7/JlJmRFKnFpsg2HBpxfvEnMvK9PX5+P108NOP2dScCtyADAoSYVo4jQHWz2Z4CZ7/tSGBEA+FlEQ1WVNTc3IzMzExkZGfjiiy9Yj0FlgiehUalUqK2thVwuR25urlfr4DJ1Rq0jKSkJ0dHR6OzshHLCgGe/6hREZpFDAvjeqwpW0zadsS5dQl8c/W2Esj1sxyJ81kE1JHtOod37TqNXnmeOcLFPw3bo2VIZ4wz4kdBYLBbU19dDo9GgpKQEMTExdFMRNTSID1wJDUmSaG9vR3d3NwoKCpCUlOT1sblInZEkiY6ODnR1ddHrUKlU+KrPhNsPfuN3Fw8B9nAhMgBwqmeC9uzie8KlL3ynOBFXFMQhNEgEg9nGaEict5AAPqofwWM7luHB/7ifzeTq9b7u07C9Ueaij8Zf8AuhoVJlYWFhs6q4CILg1cofcC4GRqMRtbW1MBgM2LBhA+t5EL4KjdlsRm1tLXQ63ax1NI3o8VqjRRAZAZfwITDbVsYhPCgQ+xVDnKTf9lUP4eqihFmpqcIkMVKjw/DUkS7OUnw2Euhpb8XNOUH4Z4v330dfZ9WwFRohdcYhvb29aGlpQVZWFrKysubs2/AtNI7Hp0qGo6OjUVxc7HV/jT1U1RwbpqamUF1djYiICJSVldGNoC9/040/f97Oek0CAmz5uF6F323PxrqMXExMm/GHgx1gOFHcKVTKkLLroaIGqgqvTzON0CARDjWN+lyNFxCXhdtzIrAyWYmfHnY/6dSRF7/tQ1RIAHaVubbUdwdboVkq0zWBBRaa7u5udHR0uGx4BHybsskESmhIkkR3dzfa29vpkmFfS6nZ7tFQJdSZmZlYtmwZvY6XvunGY4LICPiAvZfY4LgBAIEkaQiduvJ0UacmhhIAyjxUbDHFsfoOmHEAoISnMEmMm9Ym+1T+/dejPViXWYStZSthCBvCbz/2zk7lycPduKIggVUKjZqy6w3UGOfFPl2TEtkFFZqUlBTEx8e7bHgE2E/ZZEpAQABMJhMUCgUmJiawdu1aSKVSTo7tberMZrOhpaUFg4ODc8ZP1/ZPCCIj4BPXFctx538bRQE4raYqTBIjKMCzUwCTii1vcKy+c0QuDqHLv2v6J3CyewL7qocYiw4J4KZXFXh424yYZcdHuOyxcfV6tns1vkQ0SyV1tqBeZ8HBwW5FBuA/dWaxWNDb2wur1Yry8nLORAbwrrzZYDDg9OnT9KA0e5F5t3IA1714mrN1CZxbUD5nv9m6wu2FUjlpxM/eb1owOxpKDN5TuB7aJxeH4LL8ePxma7bXnnFUyXPd4CQKk8S4rsi7YYTPftmC8fFxr7MUvuzRLPbUGfV7L/gejSf4TJ319/dDpVJBLBajtLSU89kxTFNn9lYyBQUFsz6UygkDfn2gidN1CZw7JEtDsPfmIo934q9W9OKJw93zsyg3UGJQniVjZLBJRTlvnh7A3hOem03t94WuLpZ7ZbtzZsiIPxyoxfZ0EtHR0ZDJZJDJZAgLC3N77WAjNDabbUlENI8++ijGx8f9270Z4CeisVqtqK+vR0tLCxISEiAWi3kbUOZOaEiSRE9PD86cOYNly5ahsLBwzgfy2a86heoyAdYMjBvxjps+K+WkET/7T9OCiMyFy6OdRiMkvLPppwTnrV1FjF+z9+QA/t9eBcq9dMU+2AekZK+EWCzGyMgITp48iYqKCjQ3N2NkZMTpnCi2hpoAFv0eTVZWFg4fPuyfzgD2cL1Ho9PpoFAoEBAQgPPOOw8DAwP0H5Vr3KXOKLFTq9VYs2aNU/cDoeNfgAtePN6H5eHT2JAth1QqhUgkgnLSyNg5mi+OdWjwg/NSnabqXjvRjy15sV515RcmiXFFXgw+bWI24MxGzuwzEQQYV8+RANTmAKzNyEBGRgasVivGx8ehVqvR1dWFhoYGREVF0dGOWCyG1WqdNT6ECdQ1abGnzm688UZkZ2cvjtQZV0IzPDyMuro6JCcnIycnByKRiNc9IFepM8pKJjAw0KX788vfdOP5Y928rOtcYUV8BFpHhLHWAPDTL0Zxeeso5KE2tGiDUTHIXyUnU2wk8PLxPlxXNDeF5ar02RM/uiAVnzaNwhsj1Hx5JBqHXDs9O2LvfxYQEPBf9/QYADM9eGq1Gmq1GnV1dbDZbAgMDERkZCT0er3HNBuFXq9HUFCQxz1sf4ckSZSWli4OofF1j8Zms6G1tRX9/f1YuXIl5PKzm4Bsmir/+mU79lUOwGwjERIogslqg9lihSwiBLsvyMQ1Jckujz0yMoLa2tpZYueIcsIgVJhxgCAys/msF5ip/1l4kaGwkUCOPBIiAk4bNJ2VPrsjLiIIm5JIHB5kLjQNQ1rPT7LjfYXSZaQVEhKCxMREJCYmgiRJaLVaNDQ0QK/X4+TJkwgJCaGjnejoaJeRjlarRUREBC8p/fmEWv+iSJ0Zjewn3RkMBtTU1MBsNqOsrGxOKMo0oqntn8Cr3/bg00bXnklTJgN+/p8m/OpAE+46PwO3lMTQQmNvabNy5Uq30+qqeseFfRkBv+KyvFictywaxzs0+KxplNNjP3qwHdtXuvYjsy99josMod2np002+n/TZGGQi0Ngs9lwcTLB6xDAd6uVSI0O9djASRAEoqKiEBoaivj4eCQkJMxKs9XX10MsFs9Ks1E3npTQLHZaW1vR1NS0OCIatqmtsbEx1NTUIDY2FmvWrHG6Icfk+D99rwEf1LguuXTESgLPft2NfxzrxgOrgfNcWMm44nALdzPiBQR8YWNKEO7emIKc1AQEBwfj6tWJuGVw0qseFE/YyBk/sqevz8e97zQ6FRsqleYKAsCt65OxM1+KmDAR9mxK57XAwZsGTspUk0maLTo6GseOHUNkZCRnEc2zzz6Lxx57DENDQygoKMBTTz2F888/3+Xzv/rqK+zZswcNDQ1ISkrCQw89RE/j9JY777wTU1NTC1915umNZJM6o4woq6qqkJ2d7bSay/747oTmvaoBr0TGHisJ/FlB4sZnvwJBECgrK/MoMk9+0Y4P64ZZnU9AgGu+6TfjtYpefPTlNzh9+jQ6OjqQEmbF/RdncHoeGwlEBAfi4W3ZrMbMUfN9dr7agC/6SewqS8N1xd71yXh7vjdPM5vd46q8mUqzFRQUYOPGjSgpKUFISAj27duH+++/H319fbjzzjuxb98+qNXe2eZQvP3227jvvvvwy1/+EtXV1Tj//PNxxRVXzJqoaU9XVxe2bt2K888/H9XV1fjFL36Be++9l/UY5x/96Ef43//9XxCku1nK84DJZHI7znlwcBC9vb3YsGED4+PV1dVBq9WiuLgYYrH7qpWxsTHU19fjwgsvnPOzO9+oxldtzCpYPFGcKsa/f7DO7XOe/KJdKAAQ8FsuzIjEejkBk16LQMKG46ogHOewqGDPpkzsKkv9b8l1Myp7J1gf6zvFclxTJOc08nLGM9fnIzwocE4Kz56Kigrk5OS4tNlyxquvvoqXXnoJl156KQ4dOoTGxkY0NjYiJyfHq/WtX78eJSUleO655+jH8vLysHPnTvzxj3+c8/yf/vSnOHDgAJqazvbu7d69GzU1NaioqPDq3Pb4ferMm/LmiYkJVFdXQywWo7y8nFFJoavKsLs4FBkAqO6bxI0vnsK/73AuNoLICPg7X3Vr8VU39V8EuC4qeOpIF64oiIdKa/RJZICZcdnvKZS4qjAeB+pGOFrhXO55p3HWf1OTTe0LF9j00ZhMJiQnJ+Mvf/kLgJkbbvsiJqbHqKysxM9+9rNZj2/ZsgXHjx93+pqKigps2bJl1mOXXXYZXn75ZZjNZq/LtKkgYlGkzjwJDUmS6O3txalTp5Ceno7i4mLGb4iz49f2T+AohyJDUd0/iSue/mbO40Ips4A3bMmVYXW8398jeo2NBF74poezKMRGAh/WjeB327M5OR7Tcz7ySRuUk2cLmNg4Azg6NyclJXltzDk6Ogqr1YqEhIRZjyckJECpdN4/pVQqnT7fYrFgdNT7IhCCIGbGWHv9ynnGk9BYLBbU1tbSLtCZmZlebaA5O/4NPPqKdY4ZUPL7w/R/KycMgu2/gFccalajZsR/SpS5hOsGUhLAbz9q89oBwBds5IwBJwWbCZtc2s84Xg+pgZLePN/Z497g90ITGBjoshhAq9XixIkTMBqNKC8v9yoHShEQEACSJOn02aVPfgNvjf0JAFtzxNiYQDLayNSZbbjmuRMAgFv2Vnp5NgEBAW/g2mnaEyICSI0OAzCTNiNJ0ueIhg2xsbEICAiYE72MjIzMiVoo5HK50+cHBgbS1XJsWPD4m2nqzFGFh4aGUF9fj7S0NGRnZ7OayQ2Afp3NZsPut2rQO25g9LqtBfHYVZ4OrcEEg6oPhGECxVvXwkCE4vUTvXj5uPOqDooGpRZ3vVGFHvW02+cJCAgsLn67NZsuCKBuYL0VGr1ej/j4eJ/WERwcjNLSUnz++ee4+uqr6cc///xz7Nixw+lrysrK8OGHH8567NChQ1izZo3X+zP2+H1EQ/2BqD+YzWZDY2MjGhoasHr1apfd9d4eX9E3znjznwDw08tWYFl0IGzKFkQGWGaNGFiZJMb9m7IQGez+w3W0jV3JosBCIrTSzkV4TyieuT5/ViEAlZb39hql1Wo5SZ3t2bMHL730El555RU0NTXh/vvvR29vL90X8/Of/xy33HIL/fzdu3ejp6cHe/bsQVNTE1555RW8/PLLePDBB31ax4JHNJ6gRilbLBZ6QBlJkigvL0d4eLjPxxeJRCAIAr860MLs+QTwuyvzIDJOouJ0LUJlclgliWhRGbCvqkMwwVzyLG5LEH4Q3hMAuKowHhdlx856zGq1zmyGeyk0XM2iueGGGzA2Nobf/e53GBoawsqVK/HJJ58gPT0dwExmyL6nJjMzE5988gnuv/9+/P3vf0dSUhKefvppXHvttT6tY8GFxlPqjKpaUKlUaGlpgVwuR25uLqtBQq7o0wegi0EKiwDw7++vQbhBhZqabtRb5PjHASVIcuEccAUEBBaeZ67PnyMyAPuhZ1xFNABw99134+6773b6s71798557MILL0RVVRUn56ZYcKFhSmNjIwoKCpCcnMz5sZ+p8/wcqj7ePNyOBrUOJ6fi8V7t4ungT4sORa+G2f6TgIAAcx7Zlu1UZAB2PTTATESz2Iee2ePXQmM0GlFbWwsAvInMe1UDMHjoByUAvPLdfAx3t+Kt4QB80mEGicXlRyaIjIAAt2zOkeFnW7Ld+p2xjWi4qDrzJxZcaFylzqjxxtHR0QgNDeVtLsNjn7d5fM51q2Q4dKoBb7Vz3w19rvODshS8VMHMM0rg3ObC5dHYnBuLbzs0OMixg7S3rEsX46nvrPT4PDY9NCRJQqfTLfrpmvb4XdUZSZLo7u7GmTNnkJWVhdWrVyMoKIiX4WS1/RNQ690LBwEgxqLGv9rnf8Pz0txYPH51LrKlfvdn4ozPm0dx53kpC70MgUXAV+0a/OajtgUXmaKUKLz8/4oYPZdtRCOkznjEbDajvr4eExMTWLt2LV0uzNcUzA/r3LsyEwBKE0R4rtHbFk5u+Lx5FJ83L+yXim96NAa88K0Q0SxmSmNsqBxbujdD9uTLI/DPW4sZP19Inc3gN5+OyclJVFRUwGKZ3ZMCcDNl0xmferDj35gWgjPDCyMyAgKLhX4dcEd56kIvg3dSo0Pw9vdLvXoNm2IAq9WK6enpJRXRLLjQEASB/v5+nDx5EklJSVizZg2Cg4NnPccbB2em3PlGNVQ6s8ufiwjgWC/7yZ4CAgvFtoK4eTWSHDaI8OLxPmwtiJu3c843RcmR+OTu9V6/js0ejVY7M1p6Ke3RLHjqbGpqCq2trSguLkZsrPMSQa5TZ7X9E25dAAg4n18uILAY+LhBhY8b5r8q8pMFOGd5pgQX58RC0TeJTxpUvHgUlKeG4v+uzITNZvNaNNikzvR6PQAsqYhmwYUmKioKF154ods/BtdCU9k77vbngsYICMzccPn7d+F41wSOd/k2u8YdiZEB+PGaSDQ0NMBqtSI6OhoymQwxMTEICwvz+Hq2IwJCQkJoV5SlwIL/JgRBePxDcL1H84+vuzg7loDAUiVFGoL+caPfiw1fSEMDcOjH5wGYqYbVarVQq9UYGRlBW1sbQkNDERMTA5lMBqlU6lQYrFar160ZWq0WERERPtny+xsLLjRMCAwMhNHIzX7Je1UD0EwLvTCuSIkABvVC6lAA6Bs/t/co371jDf3/CYJAVFQUoqKikJ6eDovFAo1GA7Vajba2NhgMBkilUjraoYSCTbqNEpqlhF8IDUEQ9HAdZ3CZOvvrkQ5OjrMUub4oDhdLxvDvwWhOx1gLCCw29mzKcNvxHxgYiLi4OMTFzRRA6PV6qNVqqNVqdHd3IyAgADKZjJU5JvUaIaKZZ7hKndX2T0A5aWL8/MWQo3bG/ZuWYWhiGu9UDXoVmbyjUKFKDLRPzo/IXJQtQ1RoID7kcaa7gIC33HFeKnaVpXn1mvDwcISHhyMlJQU2mw0TExMYGxuDSqVCZ2cnVCoVnWYTi8Vuo5yl1kMDLBKh4aq8+a3jnu1m7MmMCUPn2OIbTPbk4Zmo7YbSJOTJo1DZO44P7XqGIgIBnQvdbp+cjxXOIMzjEfA3NmRIcO9FmT4dQyQSITo6GtHR0RgfH4dcLkdAQADUajXq6upAkuSsooLQ0NBZr+fSudlf8Auh4Tt1ZrPZ0NTUhKNt4169bjGKjD2uZuO4EhkBgXOdey/2TWQcsdlsCA0NRWxsLBITE0GSJKampjA2NgalUonW1laEhYUhJiaG9nXkahaNIxqNBvfeey8OHDgAALjqqqvwzDPPzGqOd+S2227Da6+9Nuux9evX48SJE16d2y+ExhO+CI3BYEB1dTU6xi3QMM+aCQgInGOUZ0lRmCTm9JiODZsEQUAsFkMsFiMzM5MuKhgbG8OXX36JH/7wh1ixYgWCg4PR0NCA/Px8zvZqvve976G/vx+fffYZAODOO+/EzTffPGd0syOXX345Xn31Vfq/HRvqmbAohCYwMJDVHs3Y2BhqamoQHx+PbnUAgAHuFycgsMAUJkUiPjIYX7bOZyqSxFKarEkAeGRbDufH9dRHY19UsGLFCuTk5OAvf/kLzpw5g7Vr1yImJgaXXXYZnnvuOQQFBbFeR1NTEz777DOcOHEC69fPOBy8+OKLKCsrQ0tLC3JyXP/uISEhkMvlrM8N+IEFDeB5yqa3EQ1Jkujq6kJVVRWys7OxcuVKfNmytM0pBc5d6ga18ywywFITmYe3uZ8rwxZvGjZFIhGKioqQmJiIq6++Gmq1Gq+88gqWL1/uk8gAQEVFBSQSCS0yALBhwwZIJBIcP37c7WuPHj2K+Ph4rFixAnfccQdGRrwv3lkUEQ0lNCRJehQli8WC+vp6jI+PY926dZBIJKjtn8DghOeeABEh9I/4K3eUp+C761Lx/NfdeKfKveu2gH+SER2Kbj8bwEcAeHNXEecpMwo2ppp6vR6JiYkIDQ3FpZdeiksvvdTndSiVSsTHx895PD4+Hkql61H0V1xxBa677jqkp6ejq6sLv/71r7Fp0yZUVlZ61YjqFxGNJ6g/lKeoRqvVoqKiAmazGeXl5ZBIJACAn75fz+g8gsj4HwSA67IDUIge9LXU4daCEPzo/JQldD997uCPIvPwtmxeRYYkSVYWNEyrzh5++GEQBOH235kzZwA4zxx5unm/4YYbsG3bNqxcuRJXXnklPv30U7S2tuLjjz/26nfyi4jGU5RCWTtYrVaX/j/Dw8Ooq6tDamoqVqxYQR+ztn8CnaNMqseWVs7ZkRtLk3BtSTKmzVaEBQVgYHzmPQkNDMB/aofwaYP/9bLcXpaK/7c+BXJxKAwGA0ZHR6FSqZBjU+OPZUE4PByMQ52LuzJQYGHgO5IBzt4Ye+sM4I3Q/OhHP8KNN97o9jkZGRmora3F8PDcsSgqlQoJCQmM15aYmIj09HS0tXnXKuIXQuMJSpmdRTQkSaK1tRV9fX0oLCyc86Z5MtC0O4vHZ2TIQtGt9q+7Mqa8XTkIaXgwypbJEB8VgvioELx2ohevHu/1y6ZUAqBFBgBCQ0ORkpKClJQUWK1WtPSN4EB/94KuUWDxwmckQ2Gzzcyy4jOiiY2Ndel6b09ZWRkmJiZw6tQprFu3DgBw8uRJTExMoLy8nPHaxsbG0NfXh8TERMavARaR0DgrCDCZTKipqYHBYMCGDRuc/nG4MNBMiArGI9vzEBYSgBePdeGbDo3Px5xvSADPH+vG88e6F3opjCABPP91Nx7engsAUE4a0DM2jfBgET5rUGHviT6/FEgB/+ctniMZCqq02dvyZG+Ehil5eXm4/PLLcccdd+Af//gHgJny5u3bt8+qOMvNzcUf//hHXH311dBqtXj44Ydx7bXXIjExEd3d3fjFL36B2NhYXH311V6d3y+EhskfwtGGZmJiAtXV1ZBIJCgrK3OaUuPKQHN4yoTd/6rx+TgC3vFO1RD0JiuSpaF44Rv/jLwEFhd7NmXMi8gA7IaeAfxZ0Lz55pu49957sWXLFgAzDZt/+9vfZj2npaUFExMzYxcCAgJQV1eH119/HePj40hMTMTFF1+Mt99+2+uhbH4hNEywt6Hp7+9HU1MTli9fjoyMDJdCJRho+s6Fy2PwdccY3Bg38MpH9f63dySwOLmuWO61h5kvsJlFQ5IkdDodL9M1ZTIZ3njjDY/npwgLC8PBgwc5OfeiEZqAgACYzWbU19djZGQEJSUliImJcfl8bw00Beby3dIkrMuUYV1mNB7/vF2IKAQWLQSAOzemz+s52QgNMFPeHB4ezsOKFg6/EBomqTOCINDa2org4GCUlZV5nG73YZ3Qa+Er/6ocxL/+65e2vSAeH/lhZRqfXJYmwk0X5OFIxyT2Vgh7QouZWzek8NKQ6Q42PTQAeItoFpJF0UczNjaGyclJhIaGYv369YxGqI5OCdEMl5xrIgOQCAkNRUSAFQ9szsKX95Xh+hLvKm0E/Ieb1ibP+znZ7NGYzWYYjcYl597s10JDkiQ6OztRVVWFqKgoxMfHM/7Dfd2+1Cxnzo376eKU+dmo9QyBA616XPtaM371xlEoO5vxg6JI3HdRGmfdVkmS+b3DPle5JBlQ93dAqVTCbDbP23nZpM60Wi0ALLmIxi9SZ86wWCyoq6vDxMQE1q1bh97eXsZ+Z+9VDUBrtPG8wvlm6TaT2lPdP48DcRjyQTcBY5AZlyb3I8ukxWMXROCLQRE+a9f7dFwmtkgCvkEA2L05F4GmKfT29qKpqQlRUVGIiYlBTEwMoqKieJtkyUZo9PqZz5Qw+IwHHP/QWq0W1dXVCA0NRXl5OYKDg72asrm/yvkcFgHnBBDA329cjVM9Gr9t4FxoPm3T4rM24JqiJIxP6fFlxxQnx42NCMKobv7uss81bt2QgpzUeADxWLZsGYxGI8bGxujGQ4Ig6AFkMpmMlQW+K9gIjU6nQ1hYGKu9HX/GL4QGODv8TKlUoq6uDunp6cjOzqZFyBuhiRO7/7AUp0pQ3Tfh85op8uSRaFJqOTvefHNrWRpkEUHYuCwauRHT6B8aQXiQCMZgMerVwOdt3L1XixkSwH7FXBsPXxBEhl8c92ZCQkKQlJSEpKQk2Gw2TE5OYmxsDL29vWhsbIRYLKaFRywW+xTtsCkG0Gq1iIiI4C3KWij8RmhsNhttJbNq1ao5VjKBgYEwGpmlGm4vz8CnDSqnP9t9fgbuv2Q5lBMG/OWLNhyoZX/hKMuMxp5LlqOydxxNSu+8f/yJV4734pXjvQBmUg0/KE+DLBKoah/F54KXmMAi5bYNyW4rzUQiEaRSKaRSKR3tqNVqjI2Nob+/3+doh00xAF/NmguNXwiNzWbDmTNnYDQaUVZW5vSN9mYmzaoUCXauTsQHNbNLnH9y6XL8YGMGAEAuCcVj1xYiSRLG2palokuD6188je2FzE3p/B0SwIvH+xZ6GQICPkEQwE1rU7x6TUhICBITE5GYmDgr2unr60NjY+OsvR0m0Y7VavXKSh84KzRCRMMDIpEIqampiI2NdenO7E3qDAD+dE0BblqXgqOtKsRFhuDinDjIJaFznnf/JcsBkHj+WA+rtZMAPqzjNp0iICDgG/dfnOlT34ynaAcAHe3ExMQ4jXbY7tEIEQ2PUDlTV9hb0DBlVYoEq1Ikbp9jtVqxOX4aXSkkDvYv7F1EWaYEG5fH8dqF/8cdefiqfQwHG0aETX8ekYtDQJIkhoV+rnnnjvIU7CpL5fSYjtHO1NQULTqOlWxUtMN2j2ap9dAAfiQ0nvB2nDMTpqenUV1dDZFIhP/ZmALRaTU+7Vi4PYmKrgmc6JrAhsxoVHTx4xD98/808XJcgdkoJ4XS5YWiLEvG6/FFIhEkEgkkEgmysrJgMpkwNjYGtVqNmpoZ812ZTAa9Xg+pVOrVsZei/QywyITGm9SZJ9RqNRQKBeLj45Gfn4+uri7sWh0JW0gUDjYuXBc8CfAmMgICSx0RAaRGe3YO4ZLg4GA62iFJkt7bGR0dRXt7O5RK5axox12BAB8jAvwBvxEaJlM2uYhoSJJEb28vWltbkZOTg7S0GTfXgIAA2Gw2PH1DMd462YdHPmnx+VwC/kGOhETLxNLaXBWYCwHgx+Xx8+5pNmsNBEFHOyqVCunpM0aeY2NjqKurA0mSkMlk9P6OY7HAUhUav7agsYeL1JnVakV9fT06OzuxZs0aWmQcj78pN+4c6cM/NxBE5txg9+oQbM2VLvQyaKiqM7lcjoKCAmzcuBFFRUWIiIjA4OAgvv32W5w6dQodHR1QqVQwmUy8Cc0f/vAHlJeXIzw8nHE6jyRJPPzww0hKSkJYWBguuugiNDQ0sDr/ohMakuVgFIPBgFOnTkGr1aKsrAzR0dFOjw/MlD4/eOlyn9csICAwP4gIYJmE8KuOesdiAIIgIBaLkZmZiTVr1mDjxo1IS0uDwWDAP//5T6Snp+PkyZNoa2vD4CC37iYmkwnXXXcd/ud//ofxa/785z/jiSeewN/+9jecPn0acrkcl156KaamvHfF8Buh8ZQ6o/5gbKIajUaD48ePIzIyEuvXr0do6NwyZ5FINOvYP9iYgYcuXb6kI5tb1ifjvosyFnoZAgIecfc9JAjgt1uzIQ0mWU205AtPDZvBwcF0tPPjH/8Y77zzDiIjI1FfX4+0tDSsXr0ajz76KCdreeSRR3D//fejsLCQ0fNJksRTTz2FX/7yl7jmmmuwcuVKvPbaa9Dr9Xjrrbe8Pr///FU8QPXXeCs0vb29OHPmDJYtW4aVK1e6/MNTezT2fH9jBt65Yy346p26db13DWVc82nDCJ462r2gaxAQ8MSy2DC3pfhv3laEa4pmyo79RWhIkvSqjyYgIADnn38+wsPD8eCDD2JkZAS/+MUvIJG4b8/gi66uLiiVSnrsMzBT4n3hhRfi+PHjXh/PP/4qDBCJRCAIgrHQ2Gw21NfXo729HaWlpUhPT3cbNbnaA1qVIsH/XpnHS2Sj6J+EyM2B+Y6mVFr+fLayY5deiea5zpo0Mc7Lks7rOX+3PRsdo+5bDgzmmRtEfxIa6qaVjXtzeHg4ZDIZbrjhBvzwhz/kY3keUSqVADDHCiwhIYH+mTf4x18FzKZsMi0IoPZjJicnUVZWBpnMc129u2NfV5qMo3s24vvl3M0iAYCagUl8b22Ky2PeUJqE75enuRUjf6Vt1DcLfQH/40zvJL7tHEf0PBV1PbItG2+fcb9XYV/OvBSERqvVMp5F8/DDD4MgCLf/zpw54/Xa7XG8LpMkycoex2/Km5kQGBjosZdmfHwc1dXViImJQUFBgVehqzsRk0tC8dBlK3DLhjS8fmLGhJKLzvo3TvXjysIEpzY2b1cO4p071uKWDWmo7hvHfe/Wc3DGheOibBmOtqkXehkCPqLhuRe1PEuKR7bloKJLjQalzuXzRP/dm6HKmf1JaKhrCZ+mmj/60Y9w4403un1ORkaGV+enkMvlAGYim8TEs5NlR0ZG5kQ5TFhUQuNJDCg7iOzsbI+pMkeoYgBPis2H4LjySiMBXPfiadxenoZbN6Th91fl4VcHFm9n/8KIDIlzZWjcYic7Ngy/vjwLcVEh+M1Hzajocj2eggDwxm1FKEw6O5HV34SGSvczhSRJ6HQ6xhFNbGwsYmNj2S7RLZmZmZDL5fj8889RXFwMYKZy7auvvsKf/vQnr4/nN0LjS+rMZrOhubkZQ0NDKCkpQUxMjNfnpyIfpqGhveBU9Y5jZGQY5okRpKRnIjkhDtNmK9Jl4ajqHcf9+3yLRF453ou9Fb343ZV5ePeOtbjuxdM+He/cYuZvKQ0Gxk2C6Pgrd5Sn4rqSRLxxqh+vn3KfLiMAPLwte47IkKT/VJ2x8TkD+LOg6e3thVqtpicVKxQKAMDy5cvpvp3c3Fz88Y9/xNVXXw2CIHDffffh0UcfRXZ2NrKzs/Hoo48iPDwc3/ve97w+v98IDROc2dAYjUYoFApYrVaUl5cjLIyd/YR9+bQ3H9a4yCAkWZUIDxhHySXrIRbPnnlfkiYFQQAs239obCTw6wNNeOeOtYs+slkIxk2AIDL+RVp0KC5cEYOyzGic7p7Alr+dYvS6/9uRg8vz42Y9Ru2J+IvQsHFuBuBVROMNv/nNb/Daa6/R/01FKUeOHMFFF10EAGhpacHExNko8qGHHsL09DTuvvtuaDQarF+/HocOHWK1PoJk2wHJMSRJwmRy73RbWVmJuLg4uqN/YmICVVVVkMlkWLlypU/NWiRJ4uDBg7jooouc9tk4gzLlDAgIQFFRkcvZEw9/UIN/VTsfxMaGn1y6HJJQEX71YStnxxQQWAyICOCju4qREDXzXROJRBCJRLBYLPjmm29w4YUX+kXT5tjYGNra2rBhwwbGrzEajYiLi8PAwACSkpJ4XN384zcRjbeps4GBATQ2NmL58uXIyMjweVAQVaXBtHxao9GgurqaNuV0dyd1Y3ECp0Lz2OftnB1LQGAxccv6FKTGRNH7qSRJwmKx0NN3SZL0i70atrNoAAheZwtNQEAAzGYzmpqa0NzcjOLiYmRmZnI2jY5p+XR/fz/dBFpQUODxQy2XhOKaLE6WKLAEuGltEm9NwEsZAsAtG1IREBCA4OBghISEIDg4GCKRCN3d3YiMjITNZoPFYoHJZILFYnE744pP2AiNVqsFAGFMAN8QBOHRy2xgYADBwcEoKyvj/A/izB3AHpvNhpaWFgwODnpVdBAQEIDNyUBQdBLeruTWw+jcYGlt4r91ehDlWdE43qkRhs8xREQAj2zPgVw8N63d1NSE6elpFBcXIygoCFarFTabjf4HnG34JghiXqIdNsUAVGnzQkdjfOBXQuOOiYkJDA8PIygoCOvXr3c58tkX3EU0ZrMZCoUCRqPRa5ETiUSw2Wy4+8IsQWhYQYAAlsxFmQTwbad/zBw6L0uKoACRX/c3EQD+dXsJCpNn27FYrVbU1tbCZDJhzZo1CAoKAnC2sMdms9GiQ6XUANBiw6foeFtUBMxENBEREZxlaPyJRSE0g4ODaGhogFQqRXBwMC8iA7gWGq1Wi6qqKkRERGDDhg1en58SmgRxCH5y6XJhj4UFJMBJ9Z7AbL7tHP/v/5sbNZZlSDEwbkDvuGG+l0VDRTLORIaqNi0pKaFFZtZr/1soAJwtf6aEx/57Tj2PS9FhkzpbqtM1AT8TGsfUmc1mQ2trKwYGBlBUVASdTge1mr87L0cHZwBQqVSoqalBWloasrOzWd1t2N9h/WBjBnrVesaRTYYsFD1qg1/czV9fkojchEg0D2vxbtUQL2siAGzPCsJHneY5x/dVZAgA15XMdDnztf7Fy9zPdUX3uM9H3b4yHh/Vs5tYe02eGLs2ZiJLPnukh8VigUKhAEmSKCkpYXTjR4mIq2iHapvgKtphu0cjRDTzjMlkQk1NDYxGIzZs2ICIiAgYjUZOpmy6wj6iIUkS3d3daG9vR0FBgU/lhvZ3VQEBAV6l0LrVM3eTF2XLcEF2DAoSozAwbsCJLg3eqRpivSY2vFM1hCcvl+PBi1Jx1/npeOPUAPZW9HF6wd6SJsL3CqOwZY0c97zTyOGRZ0Tm2uJE6E02XFuciM8aVZyvX+AsD16ShdvL07HnkmX458l+Ru81AeD/rU3EZZkhIKbH0d1YjcH2YLoLXiwWo7a2FgRBoKSkhHUps2O0Y/+Pi2iH7R7NUqw4A/xUaCYnJ1FdXQ2xWIzi4mL6joWLKZvuoIoBrFYrGhoaMDY2hnXr1vls1W3/gQZmqtC8bbo82qbGV21qXFeSiJyEhfsw3v+ZEpfVD6IgLgjlKbG48rY8vHx6FB83cFO+nR4Tiff6QrC/mluRAWaEkhJnAsBtZan4+40rcaB2GJ81cld+LgDctTENt5fPjDGWi0Pxk0uX4+b1KS4FhwCwqywV/299yqwNf6vVCo1Gg9HRUTQ3N8NgMCAoKAiZmZkwmUysG7TtcZZio0SHbbRjtVq9TrF743O22PAroSEIAkNDQ6ivr0dWVhaysrJmhZHOnAG4JCAgAEajEadOzXQol5WVMW7edAf1O9iL5HWlyYiNCMbuf9UwPg4JzHsU44yD/SIc7LcC1cNYLh5G+yR3x36hehIAhwd0AQng1Yo+vFrRB2DmQleYFIXaQe+nBwrM5q6NafjxpmVzHrcXHEXfTAd6sjQU02Yb0mRhTivKAgICEBsbC4lEAo1GA6lUitjYWKhUKrS1tSE8PBxxcXGIiYmBVCr1eZ/FVYqNEh+m0Q7bPhpBaOaBtrY2dHZ2YvXq1YiPj5/zc74jGovFgu7ubiQkJHjl/OwJgiCclk5fnBuHnasT8UHNwosHW7gUmYWEBFA7OIVVSVGoG5wS0mksuaEk0anI2CMXh+LyAuY3cCaTCZWVlQgPD0dhYSFEIhEyMzNhNpuhVquhUqlQV1cHm82GmJgYOs0WHBzs66/jsqDAPuoB5kY7bIVGSJ3NA9HR0SgrK3Op6oGBgbwJzeDgIMbGxhAdHY3CwkLON+SoyjNH/rgzD5fmyvDDtxs4PZ8j21fGI1kain9808vreRY7VERTlilFRdf4wi5mkUEQwF0XZHB6TKPRiMrKSkRGRs6ZkBsUFISEhAQkJCSAJElMTk5idHQUvb29aGhogEQioUUnKirK5+8002iHIAhYLBavz6fVagWhmQ9iY2PdCgkfEQ1JkmhtbUVfXx/i4uIQFhbGS9WHY0UbZZ9htVpxYXYsbtuQir0n+jg/7+0Oee9NObG48eUq4Y7dA4LIeM8Dm7Ocpr/YYjAYUFlZCYlE4tHmiSAISCQSSCQSLFu2DEajEaOjoxgdHUV3dzedgouLi4NMJuOkRcJVtKPT6aDT6RAYGAiTycS4WVSv1wups/nA0wWeEhq2U94csVgsqKmpgU6nw4YNGzA0NER7JnGNferMPvwGZn7vWzak4PWTfbBxpABXrozH/Zcsm/PFL0yW4IFLsvD4F53cnIhntq+Mx3dKkqA3WfDDf9d7LZCuem/mswGUAPD7q3LwqwMtS1bg7Tf/uWB6ehqVlZWIjo5Gfn6+19/3kJAQJCcnIzk5GTabDePj4/S+zvT0NKKjo+loh4uLOyUgRqMRdXV1SEpKQmxsLH1DyaRZVKfTsRoqthjwK6HxBHUXwqaiwxGdToeqqiqEhoairKwMQUFBvO4BUakz+9yu/WAkuTgUj2zPwW8+9O1iRBAzd5buvvS3l6djymBZFGm0j+tHcPP6FKzLiGMlkK56b+bzgk8C+OWBFsRGBGFUZ57HM88Prjb/2TI9PY0zZ84gNjYWubm5nKS8ZDIZZDIZcnJyoNfr6Winra0NoaGhiIuLQ2xsLKKjo1kXFOj1elRWViIhIQErVqyg1820WVQoBvAT7GfG+CI0Y2NjUCgUSE5OxooVK+gPlrOGTa6gjk192JxN37u2OAnnLZMx7jlw5PqSROy+IINR+uLHm5ZBozf7RRWbO0gAN75Shd9tz0FBotjj8x0hAGzzoWmQS5aiyDDZ/PcGnU6HyspKxMfHIycnh5c0dnh4ONLS0pCWlgaLxQK1Wo3R0VE0NDTAYrFAJpPR0Y43I0OodduLDDB7b4eKbJw1iw4ODvrFiAM+8Cuh8fShoi7ObMWAJEn09vaitbUVeXl5SElJmfVzviMak8nkUmQoHHsOXjvhOZ1GAHjgEvdRjDN2X5CBd6uH5snWhUR+XAgaVe5nDjl9JQn85sMW/PW6fIgIeJVeJAF80jCypLzS/AURx5v/Wq0WlZWVSExMZO3C4S2BgYGIj49HfHw8SJKEVquFSqXC4OAgmpubERkZSYuORCJxuiYqAouLi5sjMo7Y39QCZ5tFjx07hurqamzatImfX3SB8ZvBZ8DMm242u7/r+/LLL7F27do5kyyZHLuxsREjIyMoLi5GdHT0nOcMDg6ir68P69ev9+rY7qBytE1NTejv74dYLEZ8fDzi4uIYhcnKSQN6xvT4tLoL79ZP0o5Uu8pScVl+nNseBCY8dqgdr/JQhOAM6uvH9gNHgMTGlGB80z/XnsbxPH7zoV6iUB5k1xZzM6CLEpnk5GQsW7bML2xYTCYTxsbG6DQbQRC06MTExCAoKAgGgwFnzpxBTEwM6zRfRUUFrr76avzpT3/C7t27/eJ355pFJzRHjx7F6tWrnQqFK+zHPRcXF7vsJh4eHkZHRwfKy8u9WrcrHDf9TSYTRkdHoVKpoFarERYWhri4OMTHx0MsFjv9gFmtVjQ2NmJ8fByJy/KhNol8EhZHlJMGbHqqgpNjMcUXISAAXJsdjH1t3kdGAtzx9vfnuimzZWpqCpWVlUhLS0NWln8ObrLZbJiYmKBFhxq5rNfrIZPJ6P4ebzl9+jR27NiB3/3ud7jnnnuWpMgAfiY0TMY5Hzt2DHl5eYiNjWV0zMnJSVRVVUEqlaKwsNBtDlSlUqG5uRnnn3++V+t2hv3mn7MKE4vFgrGxMahUKqhUKohEIlp0ZDIZnWqrqakBSZJYvXq1y1HRvvLY5+10h7yAgCf+90ruIhlqHHtGRgYyMzM5OeZ8MD4+DoVCgYCAAJhMJgQHn/Vjk8lkjPZaqqursX37dvzyl7/EAw88sGRFBvCzPRomeGNDo1QqUVdX59TOxtWxudijsRcZV/sxgYGBdLMZVX45MjKCpqYmmM1mSKVSTE5OMhJIX7l5fQqjvSCBc5uc+Ag8971VnEXT4+PjqK6uRlZWFtLTuSuN5huj0YiGhgbExcUhPz8fNpttlh+byWSaVVDgLINSV1eHq666Cg8++OCSFxlgEUY0J0+eREpKCpKTk90ep729Hd3d3Vi1ahXj2vSJiQmcOXMGmzdv9mrdjuf2JDKeXt/f34+WlhYEBQXBbDYjOjqajna48F5zxivHe3zqrdm+Mh7XF8Xh5cNN+GpwYcbnCvDLge8XYllSDCcXRY1Gg+rqamRnZyM1NZWD1c0PlFOBWCxGQUHBnPeCJEnodDo6xTY+Pk77sU1OTmLlypXo6OjA1q1b8T//8z94+OGHl7zIAH4W0TB5wz3Z0FgsFtTV1WFychIbNmxAVFQU4/N7GuXsDvtOfwCsRAYA+vv70draivz8fCQlJWF6ehoqlQojIyNobW1FZGQkXUwQGRnJ2YeUTekwxYOXZOE7K6NRXV2Ne8+Lxxp1OJ74slPYkOeQ5bFh6BidXrD3dPuyUPS11mGgXUT3nMTExLCKtNVqNRQKBVasWDGn8tOfoTzXXIkMMHMNi4yMRGRkJDIyMmb5se3atQtKpRJRUVFYt24dfvjDH54TIgP4mdAwwV16a3p6GlVVVQgMDERZWZnXpnpsnQecGeyxiWRaW1sxNDSEkpISutghLCyMrvk3m830nk5XVxdCQkIQFxeHuLg4n51r02PCWG/S/+WLTkBFYtPqmRRIHkFgW2EC634ggbm0j07jprVJeOv04Ly/nwSAPVcWIz4ymE4Rtba2wmg00imiuLg4RtH26OgoamtrkZub69OMp/nGZDLhzJkziIqKcikyzrD3Y9u3bx9uueUWREVFQalUIjExEWvXrsXLL7+MgoICnn+DhcWvUmfAzB/U3ZLq6uoQGhqK7OzsWY9Td0kJCQnIy8tjddE1mUw4fPgwLr30UsZ3ap42/ZlARWHT09MoKipiNM7VarVCrVZjZGQEo6OjIEmSFh22d5r7qwfx6w9bvH4dxa6yVNzsME9EOWkQBIdDVsSFo1Wln9dz7ipLxU8uXT7rMZIkodfroVKp6BRRREQE/Rl0VkWpUqlQW1uL/Px8JCYmzuev4BNUJBMRETHH2JMp3d3duOKKK3DllVfi6aefhkgkglKpxKeffoqdO3d6VUW7GFl0QtPU1ASCIJCbm0s/1tfXh+bmZuTk5CAtLY31uS0WC7744gts2rSJUTTk634MMGMcWF1djeDgYKxatcrp7HMm65iYmMDIyAhUKhUMBgNiYmLoL703kd2/Tvfjfz9t83oNFK6aR5WTBjz/dbdPTgQ3lCTibT93MliKHL6vzGMBgNlspvclRkdHIRKJZvWcqNVq1NXVYeXKlYvKz8vZiAJvGRgYwJYtW7BlyxY899xzPs/MWYwsytQZ1Wtjs9nQ3NxMp5tiYmJ8PjZ1XE9wITITExNQKBSIi4tDbm4u6w8gQRCQSqWQSqXIzs6GTqeDSqXCwMAAmpqaIJFI6GICT9GSNMx7obOHBPD4F53oVU/PssORi0Px8PZcpMnCWBcdpMrC8Pb3S3DjK1Xz5GYgcHtZKqMqs6CgICQmJiIxMZGuohwdHUVHRwfq6upAkiSSkpK8brReSMxmM6qqqnwSmaGhIWzduhUXXXQRnn322XNSZAA/jGjMZrPbC31HRwd0Oh1yc3OhUChgMplQUlLCKN3EhEOHDuG8885z2bVv78bqi8gMDw+joaGBLu3ka1PQYDDQ+zpqtRrh4eF0MYGz9IZy0oDNT1VwkuaixiU7S6c99F4jzvROeH3MH1+UgaBAEf7yhVBswDcEgC8ZRDPuGBoaQmNjIxITEzE9PQ2NRkNXYcXFxbm0dVlozGYzKisrERoailWrVrESiOHhYWzduhUlJSV47bXXOBlNsFhZdELT3d2NkZERGAwGREZGYtWqVZz+Ad1Z3HC16d/d3Y2uri6sXLnS6SRRvrBYLLQzwejoKAICAuhIx9611te9GkdcCc5fD3ewdpC+viQRepPVL8wylyrO9ma8YWBgAC0tLVi9ejWdbbCvwhodHQWAObYuCw0VyQQHB2P16tWsRGZ0dBRbt25FXl4e3nrrLb/4vRaSRSc0jY2N6OvrQ1ZWFpYvX8753dCRI0dQVFQ0Z3PO0U6GzYfPZrOhqakJY2NjKCoqWtA0AtVkRpVOW61WxMTEID4+HrGxsfi8ZQwP7G/k9JzO9m/qBiaEQWx+CpO9GVf09fWhra0NRUVFkMlkTp9D7S1SEbder6fnxMTFxXGWpfAGs9mM6upqBAUFsRYZjUaD7du3Iz09He+88w4nI6UXO34nNBaLxWn5MkmS6OrqQnt7O0JDQ3HBBRfwcv6vv/4a+fn5syxuuNiPMZvNqKmpgcViQVFREW+Nl2ygxuBSX3idTgcyTIr7vpziRQCuL0nEtcWJ0JtsSI8Jw7cdap/n8HDBRcujMaw1oUmpW+CVLDy3l6XiQZbRTG9vLzo6OlBcXAypVMr4dVTP2Ojo6CwvwNjYWJ/L95lgsVjo9ojVq1ezqtycmJjAlVdeiYSEBLz33nu82UYtNhaF0FitVtTX10Oj0SAjIwP9/f3YuHEjL+f/9ttvkZ2dTae07OdFsEmVATMzNhQKBSIiIni3k+ECqmz16a978WkXM7sftlBptbXpEvzw7Xphk99PYBvNUGnhkpISSCTsTTcpL0Cqis1ms9EpttjYWM5TUVyIzNTUFHbs2AGxWIwDBw741c3kQuP3u1MGgwFVVVUQiUQoKyuDVqvlbWYMMLtpk9qTIUmSdSSjVqtRW1uL5ORkXlJ9fEANhrokR4dPu5Q4a/A/l++XpeCVE/2sBYIE8GpFH/ZW9KE0TcKqQECAWx68JIuVyHR2dqK3txelpaU+p4XtvQDtI+7u7m40NDTQlZRUis2X75XFYkF1dTUCAgJYi4xOp8N3vvMdhIWF4f333xdExgG/Exr7DwxluhcbG4uCggKIRCIYDIZ5ERr7TX+2IjMwMIDm5mbk5ua69WbzN6jZPQPKMbgTGQB4uaIfl+dIcLBlwqfUFwkIIuMH3LUxzesBeiRJorOzE319fSgtLfXK9okJBEFAIpFAIpFg+fLldCUlVT5NOWSwGcVstVpRXV0NkUiEoqIiViIzPT2N66+/HgBw4MCBJTuO2Rf8TmgoBgYG0NjYiOzs7Fnlv3xOwQRmRMW+IIFNXpgy9ezv70dxcbHLzVB/xGKxoKamBmazGZeWFeGpmiqPrs6ftUzgzlwbXmg+N3sElhJlWd59VqnP+uDgINasWYPIyEieVnaW0NBQpKamIjU1FVarlU6x1dfXw2azISYmhk6xuduIp0SGIAjWImMwGPDd734X09PTOHjwIOciu1TwO6EhSRItLS3o6+tDcXHxnLkzbP3ImJ47KCgIAwMDAMDKLZnaT5qamsK6desW1d0N5VIQEhKCNWvWIDAwEI9sz2G0Ud9pi8H1BVa80zDp9nnC9Ev/RUQAaTLnQwGdQfnzDQ8PY82aNQvyWQ8ICJg1inlqagoqlQq9vb1obGyEWCymU2wRERH0NcNqtUKhUIAkSZSUlLASGaPRiJtvvhlqtRqff/65T3tSSx2/E5q+vj6MjIygrKzM6QeX6pmxWq2c9s9QlWXLli3D8PAw7ZYcFRVFf5A9fZEMBgM9DGndunWLqqxxamoK1dXViImJmeUVd21xEkwWm0dbmi9aNRARwGV5sTjUNOpSTKjHr16dgGmzDQcbVYLw+Al7NjPfm6FuCFUqFdasWbMgpciOEAQBsVgMsViMZcuWwWAw0MUEnZ2dCA4ORlxcHGQyGXp7e0GSJIqLi1mJjNlsxm233Yb+/n4cPnx4yXuV+YpfVp0ZjUaXImKz2XDo0CFcfPHFnJUOUvsxjuXLJpOJ7jOhyi1dddVTF2qZTIb8/PxFZTUxNjaG2tpapKenIzMz0ye3AALA76/Kwa8+bGFcILAyMRL1Q1qv1y3gHcvjwtHuwpDzro1p+PGmZYyOQ5IkmpqaoFarUVpa6nI0uj9BmdCqVCoMDQ3RVWxU35g31xKLxYLbb78dzc3NOHz48Lw2XS9W/E5obDYb7WXmioMHD2Ljxo0+h+qOM2TclS9T5ZaUcWVQUBDdVW+xWFBfX4/MzExkZGQsisoyisHBQTQ1NSEvL8+tbftjh9rx6gnm457PWxaNbzs0XCxRgAMyY0LRNWZw+fO9txRhXYbnu3KSJNHQ0ICJiQmUlpYuquoqm82GmpoamEwm5OTkQK1WY3R0FBMTE7NSbO7mPFmtVtx1112orq7GkSNHIJfL5/m3WJz4XeqMCZ6GnzHB205/x9HLlEW/QqGA1WpFdHQ0IiMjYbPZ/L5PBjjbANvT04OioiKPhqQ3b0jxSmgokVmTJkFlr28VaQK+cfXqBLxfM+zy50z3Zmw2GxoaGjA1NYU1a9YsqmZEe5EpKSlBUFAQpFIpsrKyYDQa6RRbd3c3AgMD6So2mUxGf5+tVivuuecenD59GkePHhVExgv8TmiYRAO+Vp75aoopEokgk8kwMjICkUiEFStWQKfTobm5GWazmbbQiIuL80sjPXsrnDVr1jCqlJGLQ7GrLBWvVjAXG2CmZHn7ynhMm634smWM7ZIFWHJNbjjecyMyBIBHtud43Jux2Wyoq6uDXq9HaWnpohOZ2traWSJjT0hICJKTk5GcnDzLmqm5uRkmkwl79+5FUVEROjo68PXXX+PIkSOLql3BH/C71BlJkjCZTG6fc+zYMeTm5iIuLo7V8bmwk6E+uEVFRXSOmiRJaLVajIyMYGRkBDqdDjKZjN7X8Ycvp8ViQW1tLYxGI4qLi71KfXDp7CzALyICuKtMjuePK93+vZ64Nh+XF7ifD0NdqA0GA0pKShZVkQslkNPT0ygtLfXKUYCqYvu///s/fPLJJ2hvb0dBQQGuvfZabN++HSUlJYtqL3YhWZTvEtuIxmaz+Swyer0ep0+fhkgkwtq1a2dthBIEgaioKCxbtgxlZWUoLy+HTCbD4OAgjh07htOnT6OnpwfT09Nen5cLDAYDzpw5A5IksXbtWq/z63JxKB64JIun1S1NVsTPfzXW9SWJ+OLHZQgOCXUrMiICWBHjXjSoMmCj0YjS0tJzRmSAme8ztV+j0+lw/PhxPPTQQ2hqasLmzZtRU1PD+Zq//vprXHnllUhKSgJBEPjggw88vuarr76i98uysrLw/PPPc74uX/G7vA6Ti7+3ezSOm/5sRWZ8fBwKhQKJiYlYsWKFx2OEh4cjIyMDGRkZdDfzyMgI2traEBkZSRcTuNt85AqtVktXxbEddQ0At5enY8pgYW3vfy5x18Y0/M/GVOw/egZ/PGEEv65xZ895w5pk/PpAM77tdF2MISKA2wvD0FlfCWVnOJ3ulUqlc3pNrFar05STP2Oz2VBfX0+n+thOrv3973+Pf/3rXzhy5Ajy8vKwYcMG3HzzzTCZTLy8HzqdDqtXr8auXbtw7bXXenx+V1cXtm7dijvuuANvvPEGvv32W9x9992Ii4tj9Pr5wu9SZ8BMI5Q7KisrERcXx2hss+OmP1tjTGqA04oVK5Camur16+2hxt6OjIxgdHQUISEhdK8OH4Og1Go1ampqkJaWhqysLE6O//BHzT6NZWbLxiwpvukcZ/TchWwOvWtjGu4qT0ZVVRVtpnrBX76FepofuaFGMEjCghjNEqJSZlQ1peN8mJiYGPT39wMAiouL/XKv0RWUyOh0OtZRGEmS+NOf/oTnnnsOhw8fRmFhIQ8rdQ9BEHj//fexc+dOl8/56U9/igMHDqCpqYl+bPfu3aipqUFFRcU8rJIZfvnpIQgC7vSPaeqMi/0Yysept7cXq1evnuNUwAb7sbeUhcbIyAjtuUSJjre+Tc6gBNJT+bK37L4gY96FhgBwdXESY6GhPkHbCuIRERKAd6uG5kV4tq+Mxx0bEnHmzBlER0fTEeQ3Pzkf7ysG8aeDbZg0eh4XzpTrSxKx+4IMNCuncPe/6z0+X0QARakzXeyO5pXj4+MYHh5GY2MjbecyNDSEuLi4RVHKTJVfa7VarFmzhrXIPPnkk/jb3/6GL7/8ckFEhikVFRXYsmXLrMcuu+wyvPzyyzCbzX4Thfql0HgiMDCQtu53BRciY7Va6Z6BtWvX8uLjZG+hQVW8jIyMoKGhAVarla5ei42N9aps2tvyZW+Ri0Px4CVZePyLTsavuShbhtXJYhAEYLSQSIkOxeS0BYeaVKjud29dA8yMEyhOlXgdqXzcMDOF89pCGeIlkQgJEiEqJAiECGhWajkXoLvKZkQmPj4eOTk5sz57Vxcl4eqiJPzh0xa8eXrQp/NsyJDilg0pCAsKxCMfteCrdrXH14gI11Vm1J5Ea2sroqOjsXz5cqjVaiiVSrS0tMx7utdbKJGZmpryKZL529/+hr/85S84ePAgiouLeVgpdyiVSiQkzC7mSEhIoKfpJiYmLtDKZrMohcZTROOq098bjEYjvdm3fv36edkEFYlEiImJQUxMDHJzczE5OYmRkRG0t7ejvr6enoAZFxfn9k7FZrOhubkZo6OjjMuX2XB7eTrO9IzjaJvnCxwAHG1TM36uIwRAj4J+wEuBo9hfpwZw9vzULJydHvpMvFnjzzanoa+lFqmpqW7TlL+8IgeRIYE+7XWd6B7Hie5xr17z+DWuq8xMJhOqqqoQEhJCT5cUi8XIyMiAyWSix4D39PTQDctxcXGcRN6+QpIkGhsbMTExwbrHhyRJvPDCC3j00Ufx6aefYt26dTyslHscP2P22wT+gl8KDZPUmTP3AK42/amNc6lUivz8/AVpwHS0RtfpdBgZGaHNAqOjo2nRsU9p2Jcvr1u3jvd0x/9ckMFaPJjieBd+e3k6etXTPqfuqFk4XHB7WSq250RiqKMJmVlZSE/3bLVPWb7MV2GFfcrMEZPJhMrKSoSHh6OwsHCOcAQHByMpKQlJSUl0w7JKpUJDQwMsFgtdTMDHUDJPUCIzPj7OuseHJEns3bsXv/3tb/HRRx+hvLych5Vyj1wuh1KpnPXYyMgIAgMDOc9i+IJfCo0nAgIC5pQI2zdhAuw3/UdHR1FXV8fpxrmvUCmNyMhIZGVlYXp6GiMjI3RKg7LPkEqlaGlpQVBQENasWTMvX/jCZAnOy4p2W+HkCwSAf91egsLk2RfI3Rdk4N3qoQWfyHlDSSLuuiADAcYp1NXVIScnx6tmvvkSG3cpM6PRiMrKSkRGRmLlypUeoxORSETb8Ofm5tKOyT09PWhoaIBUKqVFh29HZ8p3TaPRYM2aNaxurEiSxJtvvomf/exn+M9//sPbmHg+KCsrw4cffjjrsUOHDs3b958pfll1Zj8Pxhnd3d1Qq9UoKSkBMHs/hiAI1mF8X18fWltbkZ+f7ze5TU+YTCaMjIxgaGgI4+PjCAwMREpKChISEhAVFTUvQslXIyd1cby22HkRw/7qQUYVVnxQlinFH3bkQS4OhVKpRENDAwoKCljbkvz1cAdvYkMA+Pf354o1MNNbVVlZCYlEgoKCAp8/L1QZv0qlglqtRnh4OJ1i47qikiRJNDc30w4XbEXm3XffxY9+9CPs27cPl19+OWfrY4NWq0V7ezuAmWq/J554AhdffDFkMhnS0tLw85//HAMDA3j99dcBzJQ3r1y5EnfddRfuuOMOVFRUYPfu3fjXv/4llDd7wmKxuN2D6e/vx9DQENauXctZZVlLSwuUSiWKiooglUp9WP38Q5Uvp6SkIDIyki5VDQoKogsN7Psj+GB/9SCjuTVMcXdxtOfThmE8sL+Ro7My5/B9ZZCLQ9Hf34/W1lasWrXK54rEV473sNp7coc7sZ6enkZlZSWio6ORn5/P+efDWek0JToymcynkml7kfHFQfr999/HnXfeibfffhvbt29nvR6uOHr0KC6++OI5j996663Yu3cvbrvtNnR3d+Po0aP0z7766ivcf//9aGhoQFJSEn76059i9+7d87hqzyxKoRkaGkJ3dzc2bNjgs8hYLBa6e7i4uHhRWJ7bQ5UvO46LpmzRKbdpAHTFUExMDC+bt3UDE7jxlSqf01meIhl7lJMGXPLXCo9TQLlk+/JQ3H9xBvR6PXp7e1FUVMTZPBLlpAH/81YtWkZ0Ph/LnVjr9XpUVlbS6S++I1+qdJqKdgwGA2QyGZ1i8yYacZyFw/Y7+9FHH2HXrl144403cPXVV7M6hgAzFqXQUEPJNmzYQE/aZPNFmZ6ehkKhQHBwMFatWuVXOU1PkCSJ7u5udHV1ebybpr7klAcbZfxJzeLgshnP18iG6glhOoCLi3N6yys7E2HUDMNkMkEsFiMpKYnTPhMuUpHuxFqn06GyshIJCQmMHC74QKfT0aIzMTGBqKgoRjb91FTPkZERn0Tms88+w80334xXXnkFN9xwgy+/igAD/FJorFaryz4Z6qJ5+vRpyOVy1nfoExMTUCgUdK/DQpdneoPNZkNLSwtGRkZQXFwMsVjM+LWUUSAlOnq9flbZNBdl3MpJA/55sh97K/oYXyypzvbbyz1XazmDq2jKEw9szsJ5MTPFGPn5+fQFc3x8nL5YUtNYfbmA+yKe7sRaq9WisrISSUlJWL58uV8Uu9iXTo+NjbksnSZJEm1tbVAqlT5N9Tx8+DBuvPFGPP/887jpppv84j1Y6iwqobG3k6HC8JGREVgslllpIU/lyMPDw2hoaMCyZcuQlpa2qD5oVqsVtbW1nKX6qLJplUqFyclJSCQSel/H12MzERwCwK6yVPy///bI+ALfkc0Dm7OwXjJFl9Havz/UxXJkZARjY2MICQmhP5Ns98eo9++1E32MUoOexHpqagqVlZVISUnBsmXL/PJzb7VaaZt+lUpFl07HxsbSfWW+iMzXX3+N6667Dn/961+xa9cuv3wPliKLRmjsRcY+VUaSJP0BHB6eSWe4SgtR3fLd3d0oLCxkNWZgITEajVAoFAgICMDq1as5T/XZG39qNBpERkbSouPLHbpy0gBF3wSONA7ioyYNSBCcCow9dQMTuOHlKs6OB8xcwN/aVQyoe2j/LHe9GpStEHWxBM5ugjO5EXJEOWlAr3oaYUEifNaomiM8TN7LyclJVFVV0WX7iwH76HtgYIBOVcrlcsTFxXktNsePH8c111yDP//5z7jrrrsEkZlH/FJoHMc5uxIZR+znwQwPD2N6ehoymQwJCQmIiYlBW1sb1Go1iouLeeuW5wudToeqqipIpVIUFBTwnuozm8206IyNjSE0NJQWHbFY7PWXtK+vD21tbUjIzIWOCEOaLIxTgbHnsc/bOWvEJAA8vC0bWRiGxWJBcXGxV+lFx+jbaDTSqcrY2FhWqUp74Zk22zy+lxMTE6iqqqJHjS8mSJJER0cHBgYGUFhYSKcqvS2dPn36NHbs2IH//d//xY9+9CNBZOYZvxYaqtOfrZ0MlRZSKpXQarUICAhAVlYWkpKSFtVcDY1GA4VCgdTU1AVJeVitVjqHrlKpEBAQQKeFPNmP2JuSFhcXz0vpOFeVaNeXJOIHZSkY7GiESCRCUVGRzyW59qnKqakpOlXJ5g6dCePj46iurqbTxIuNjo4O9Pf3o7S0dJbXoLvSaceosbq6Gtu3b8evfvUr7NmzRxCZBcBvhcZkMnHS6a/T6VBdXY3w8HBER0fTexFSqZS+Q/dnV1qqGTAnJwcpKSkLvZxZxp8jIyOw2Wwu98eoru3R0VGUlJTwYkrqCl/2a6iy4BWxoaiqqkJoaChWrVrFuRWRY3NjREQE/V5y0Wyr0WhQXV2N7Oxsn0dbLATUDcqaNWvcfnZsNhsmJiZmlU43NDTAbDZj1apVuP322/Hggw/iZz/7mSAyC4RfCo3FYoHBYKD/m22ayL6R0b7CxmAw0BfK8fFxiMVixMfHIyEhwW/6aEiSRE9PDzo7O/12P4kkSUxMTNDvpdFopPfHoqOj0dLSAp1Ot2D9SWyq36iy4K250aiqqoJYLJ63VCU1LmJ0dBSBgYF0pMPGtHJsbAw1NTVeW+L4C5TzuCeRcYZOp8M///lPvPLKK2hsbERiYiJ2796NHTt2oLCwUBCbBcAvhebWW29FR0cHdu7ciauuugrJyclefzj6+/vR0tIyp5HREcrCZWRkBGq1mt4AT0hI4N2nyRVUQ9rw8LDX5csLhf3+2MjICLRaLQIDA5GZmYnExERWRodcwbR66/b/bqhHBVhRVVU1b82MjtibVqpUKlit1lmmlZ7Sd6Ojo6itrUVubi6nM4jmC0pkSktLWe+ltrS04IorrsANN9yA4uJifPjhhzh48CBuu+02/O1vf+N4xWd59tln8dhjj2FoaAgFBQV46qmncP7557t8/ptvvok///nPaGtrg0QiweWXX47HH3/crwwxucAvhaa/vx/79u3De++9h+PHj2PNmjXYsWMHduzYgfT0dLdffKrWfnBwEKtWrYJMJmN8XscN8LCwMFp05mv+htVqRV1dHfR6/aJ0KjAajaiqqkJQUBBiYmIwOjqKiYkJOmqMj4/nZS+CCY6b6GFBIgyMz0TORakSyMWhmJqaQlVVld/0mVBVldTnUq/XQyaT0dGOo4CrVCrU1tb65Lu2kHR3d6O7u9snkeno6MDll1+OG2+8EY899hgdDRoMBoyPj/P2vrz99tu4+eab8eyzz+K8887DP/7xD7z00ktobGx0uj/2zTff4MILL8STTz6JK6+8EgMDA9i9ezeys7Px/vvv87LGhcIvhYaCJEkMDQ3h/fffx3vvvYevv/4aq1atokXH8UJAXaR1Oh2Kiop8ikiowUFUKiM4OBgJCQmsq66YYDKZUF1dzVv5Mt9QlXGUdxb1BTcajfSFktqLoETHnwZoURvnGRkZyMzMXOjlOMWxo55y7o6Li4NWq0VDQwNWrlw5ZxjWYoBKFZeWlrKO4ru7u3HFFVfgyiuvxNNPPz2vjdjr169HSUkJnnvuOfqxvLw87Ny5E3/84x/nPP/xxx/Hc889h46ODvqxZ555Bn/+85/R18dN1aS/4NdCYw9JkhgdHaVF5/Dhw8jNzaVFJzQ0FLt378ZPfvITXHTRRZxepO3HLVNVV1Skw5VZJVW0IBaLGVm1+xsTExOorq5GUlISsrOzXb4nZrOZrmCjBNzXxkYuoPY0FtPGuclkmhWBkySJ+Ph4pKenc+6UzDe9vb3o6OjwSWT6+/tx2WWXYcuWLXjuuefm9TtkMpkQHh6Od999d5Zv2o9//GMoFAp89dVXc15z/PhxXHzxxXj//fdxxRVXYGRkBNdffz3y8vLw/PPPz9va54NFIzT2kCQJjUaDAwcOYP/+/Th48CBdGfToo4+ipKSEtw8ZlT+n9iIIgkBcXBwSEhJYTxocHx+HQqFAcnKyX6RrvIW6SC9btozRwC8KR+NP6r2Mj4+HTCabtwvFyMgI6urqFtV4CHsGBwfR1NSE9PR0GAwGjI6O0u8l5ZS8EMP7mEKJTElJCSQS927drhgaGsLll1+O888/Hy+++OK8/76Dg4NITk7Gt99+O2to2qOPPorXXnsNLS3Ox1ns27cPu3btgsFggMViwVVXXYV9+/YtumyGJxbl4DOCICCTyXDbbbdBKpXi6NGj2LZtGwwGA6644gokJiZix44d2LlzJ4qLizm9YDkOfaLMKuvr60GSpNcOyZQdzmK6k7aHKr9mc5Gm+nHi4uJgs9no97KpqYm2HqHeSy6NP+0ZHBxEc3MzCgsLER8fz8s5+GRgYAAtLS0oKiqiN5Cp91KlUqG5uRlmsxkxMTH0e+1PF7G+vj6fRWZ4eBjbtm3D+vXrF0Rk7HE2VtnVjWNjYyPuvfde/OY3v8Fll12GoaEh/OQnP8Hu3bvx8ssvz8dy541FGdFQ1NTUYOPGjXj99dfpcFWr1eKTTz7B/v378emnn0Imk+Gqq67Czp07sXbtWt4+hFSp7/DwMO2QTIlObGys0/P29PSgo6PDb8uXPdHb24v29nZOZrHY47gBTjk8cGn8CZxd/+rVqxdllQ/ltlBcXOxyTIF9NaBKpYJWq6V7yOLi4ha02ISa5VNSUsK6kXd0dBRbt25Ffn4+3nrrLd5uSDzBJnV28803w2Aw4N1336Uf++abb3D++edjcHBwUUbXrljUQgPMfNlcRQJ6vR4HDx7E/v378fHHHyMiIgJXXnkldu7cibKyMt4+lJRHEyU6BoOBvjuPi4tDQEAAWltb6UFrbO/kFgqSJNHe3o6BgQEUFxfzvn6qm35kZARTU1M+N9tSnnc9PT3z5lbANVS6ydv1T09P08UElJ8ddUM0n4UZlMi4E0lPqNVqbNu2DVlZWXj77bcX3O1j/fr1KC0txbPPPks/lp+fjx07djgtBrj22msRGBiIt99+m36soqIC5eXlGBgYWJSl6a5Y9ELDFIPBgC+++ALvvfce/vOf/yAwMBBXXnklrr76amzcuJG3dAJlO0KJjk6no8+1WHpk7LHZbGhqaqJHac93r5Fjs21UVBQt4Ewa+6jy96GhIZSUlCw6zzsA9BwiX9JNwNnCDKqYgLLnpwoz+Nojo9J9vojM+Pg4rrzySsjlcrz33nsL2qdFQZU3P//88ygrK8MLL7yAF198EQ0NDUhPT58zhnnv3r2444478PTTT9Ops/vuuw8ikQgnT55c4N+GW84ZobHHbDbjyJEj2L9/Pz744ANYrVZs27YNO3fuxEUXXcTbh9ZkMqGyshIWiwVBQUHQarWIjo6m78794cviDmpEgcFgQHFx8YJb9zha84eFhdEXSmcl6JQlztjY2IKIJBdQtiwlJSWc3qRQhRlUtENZC1HeYVxF/9SeWFFRkVc9bvZMTk5i586dEIvFOHDgwIJ/Du159tln8ec//xlDQ0NYuXIlnnzySVxwwQUA4HQM8zPPPIPnn38eXV1dkEql2LRpE/70pz8tSjcHd5yTQmOPxWLBN998g3fffRcffPABdDodtm3bhh07dmDz5s2c5bD1ev0sS5OAgABMT0/Td+cTExOQSCRISEhY8Ny5M8xmMxQKBQCgqKjIrzaUgbMmi1TfE1WCTt2dA0B9fT2mpqZQWlrqVxcnJti7GPMdiVH7jZToUHtklPCwvSEaGhpCU1OTTyKj1WpxzTXXIDg4GB999NGCNf8KeMc5LzT2WK1WVFRUYN++fXj//feh0Whw+eWXY8eOHdiyZQvrO2CqfNldj4nRaKRFR6PR0CmhhISEBf8yGQwGVFVVITw8HIWFhX5dKgvMLkFXqVQgSRIikQgikWjOwLLFALUnNjg4OMfFeD6gmkRHRkYwOTlJuzzExcUx/k5QIuNL4YVer8d3vvMd2Gw2fPLJJ/P+PgiwRxAaF9hsNpw+fZoWnaGhIWzZsgU7duzAFVdcwfiOkip99qZ82bERj+qkp/zX5rPPRqvVorq6GjExMcjNzV10jaRmsxmVlZUwmUwgCIIu9aWqAf0tMnOEJEm0trZieHgYpaWlC57uo1weKMdpKl3pbiaMUqlEY2OjTyJjMBhwww03QKvV4uDBg4tub/NcRxAaBthsNigUClp0uru7sXnzZuzYsQPbtm1z+QWjymdXrlzJukfDfsN2dHQUoaGhtBUOF1by7qAiMX8e/esOytInKCgIq1evhkgkmmX8qdPp3PqGLTQkSaK5uRmjo6MoLS1d8MjWEfuZMCqVCiKRaE7D7fDwMOrr67F69WrWJfBGoxE33XQTVCoVDh06xLqAQGDhEITGS0iSRENDA2362dzcjIsvvhg7d+7Etm3bEBMTA5vNhldffRXLly/ntPyXGkA2PDxM27dQ+xBcW46oVCrU1dVh+fLli3JgFpXui4iIQGFhodNITK/X06IzOTkJiURCXygX+qJOkiQaGxuh0WgWRbqPmlNEiY7ZbEZkZCQmJydRUFDAuifEbDbjlltuQU9PD7788stF2e8kIAiNT1Bpjf3792P//v2ora1FeXk5pqenMTAwgG+++YY3c0OqSmh4eHiW/xo1C8YX0aEsTRarAzBVeBEdHY28vDxG6T5/Mv6kbmYmJiYWbeFCT08P2traEBoaCqPRiOjoaFrEmf4+FosFt99+O5qbm3HkyJFF2dQsMIMgNBxBkiTOnDmD6667DlqtFmazGatXr8ZVV12FHTt2ICkpibeLFXU3SYkOZa7IxjOsu7sbnZ2di7ZbXqvVorKyEnK5HCtWrGD1njumK0NCQniLHB2x2Wyor6+HVqtFaWmp36XzmECNKqBsfagmUar3iZr5RPU+OXs/rVYr7rrrLlRXV+PIkSOL8oZH4CyC0HBEV1cXLrvsMqxatQqvv/46RkdHsX//frz33nuoqKjA2rVraSuctLQ03i5WlOEolRKyWq0uRy07vo5qZFyMjaTAWQfp1NRUZGVlcfIe2zt325tV8mH8abPZ6FlEpaWlC97pzgZKZFyNKqB6nyj37pCQELqYgGoStVqtuOeee/Dtt9/i6NGjS66n5FxEEBqOGBwcxMsvv4xf/vKXsy4+JElicHCQHm9w7NgxrFq1Cjt37sT/b+/Mw5q61i6+woyMMsqgDIIIUkXAAaxQUeuAEBwuqK0jtqJXfcRWsdfWzyJtva1aWytaFbGtY2UQ64BSBFSktoyiOFVBBDHgwDwm2d8f3nNKFJUEQhLYv+fhDw9JeIPhrHP2ft+1uFyuVDfZGc8wxpWgubmZtcJpndQoFApRUFCAyspKuLq6ynx/QhKY2G5bW1uxHKTFobXxJyPirX+fHWn7FgqFyMvLQ1NTE1xdXRVSZB4/foy8vLx25+G86N69ceNG9mIoLy8PaWlpUvu/pHQtVGi6EEIIysvLcfz4ccTFxSElJQUDBw5kRUeascGMuSIjOg0NDTA0NISRkREePXoEPp+PoUOHKuxSTX5+PhwcHLrs6pcRcUZ0Ghsb2bZpcR2SBQIB8vLy0NLSAldXV7lvuW4LJj7ayclJomUuQgiSkpLw/fff48qVKxAIBJgwYQK4XC78/f071bS1LcSNYG5qakJ4eDgOHDiAR48ewdLSEuvWrcPChQulWqeiQoVGRjBLXAkJCYiNjcXvv/8OW1tbNt5g0KBBUp1Zqa2tRVlZGYqLiyEUCmFgYMC2TSvS1TQTUyDrVMnWbdOtrYWMjY1fu/ktEAiQm5sLoVCIoUOHysx9uCMweUSSigzw/I7u008/xbFjx5CSkgI+n4+EhAQcP34cH374IYKDgzu56n8QN4IZALhcLng8HiIiImBnZ4fy8nLw+XyRLBrKP1ChkROqqqrw22+/sUFuFhYWrOi4uLh0uug0NDQgOzsb2tra6N+/P7v5XV1dDX19fdYKR547nhgH4M6OKegoL25+My4PJiYmIgOXfD4fOTk54HA4cHFxUUiRefr0KXJzc+Ho6ChxCzMhBOHh4fjpp5+QmpqKgQMHvvR9aTZgiBvBnJiYiJkzZ+LevXsSW+n0NKjQyCE1NTUimTpGRkas0/SwYcM6LDo1NTXIycmBsbHxS8t1jDsyj8djM+mZOx15muVgHIxdXFzkeoDvRZeHXr16sY0Ed+7cgYqKClxcXOTe1qctGJEZOHCgxJb2hBBs2rQJu3btQkpKCpydnTu5ytcjSY7M0qVLcfv2bbi7u+OXX36BlpYW/P39sXHjRrn6G5EnFO8Sqgego6ODoKAgBAUFob6+HomJiYiNjcXUqVOhra3Ndq95eHiIfYJ69uwZcnNzYWVlBRsbm5euFDU0NNCvXz/069ePnS3h8Xi4c+cOtLW1WdGRlRUKYy5ZUlLSoXz5rkJNTQ0WFhawsLAAn89nB24LCwuhpKQEc3NzVFVVdXj2qathPkcdFZlvv/0WkZGRSE5O7nKRAZ7vLQkEgpeWXU1NTfHo0aM2n3Pv3j1cunQJGhoaiI+Px+PHj7F06VI8ffoU+/bt64qyFQ4qNHJOr169MG3aNEybNg2NjY1ISkpCXFwcZs6cCTU1NfZOZ9SoUW/cRGZ81wYMGABLS8s3/mx1dXVYWlrC0tISLS0trOjcvXtXJgONhBDcunUL5eXlcHd3VzhTRRUVFRgYGKCoqAhGRkawsLBgN9EBiLRNy/MdzrNnz5CTkwMHB4cOicwPP/yArVu34uzZs3BxcencIsVEnAhmoVAIDoeDgwcPsq4fW7duxYwZM7Bjxw56V9MGVGgUCA0NDfj5+cHPzw/Nzc1sps78+fMhFAoxZcoUNlPnxQ19Zj9DUt81VVVVmJubw9zcXOTKvKioCBoaGqzotJUD0xm0bsEeNmyYQv4xM3lEjAu2kpISTExM4OjoyLZN37x5Ey0tLW22ocsDlZWVyMnJwYABAyTu8COEYPfu3fjqq69w5swZDBs2rJOrbD9MW/qLdy/l5eWvbC4xMzODhYWFiLWUo6MjCCEoKSmBvb29VGtWROgeTTeAz+fj4sWLbKZOQ0MDm6kzZswYhIeHg8/nY926dZ2+n8EMNDL+ayoqKiI5MJ0hOkKhEFevXkVDQwNcXV0VsgW7qakJWVlZ0NHReW1HIRMDzsyWtDb+lHVHICMydnZ27XYifxFCCPbv349PPvkEJ0+eZEPBZIm4Ecy7d+/GypUrUV5ezt5VJyQkYNq0aaitrVXIiyBpQ4WmmyEQCHD58mXWabq2thaEEKxduxbBwcFSHcYUCoXsFH1FRQU4HI6I/5okTQxM+y+fz1fYGZPGxkZkZWVBT08PgwYNEkt8X8yC0dPTY3+nXXlCq6qqQnZ2dodF5sCBA/j4449x4sQJjBkzppOrlAxxI5hra2vh6OiIkSNH4vPPP8fjx4+xaNEieHt7Y8+ePTJ+N/KJzIVG3EGptLQ0rFq1CtevX4e5uTnWrFmDkJCQLqxYMWhqasKcOXNw5coVTJw4Eb///jt4PB7Gjx+PgIAATJw4UaopjYz/GjNbQggRscJpj+i0tLQgJycHSkpKCtv+29DQgKysLBgYGMDR0bFDd3iNjY2s6Dx79oz1DGOaM6S1T8aITP/+/SV28iaE4Ndff8Xy5csRGxuLCRMmdHKVHUPcCOabN2+yNjmGhoYIDAxEREQEvZt5BTIVGnEHpQoLC+Hs7IwPPvgAixcvRnp6OpYuXYrDhw9j+vTpMngH8suCBQtQUFCAkydPwtjYGEKhEDk5OWy8QXFxMcaNGwcul4vJkydL1SySECJi3cLn82FkZARTU9NX+q81NTUhOzsbGhoaGDx4sFxvjr+K+vp6ZGVlwdjYGA4ODp36+2WaM1p7hjGzT535f1ldXY2srKwOW/vExcVh8eLFOHr0KKZMmdIptVEUB5kKjbiDUmFhYThx4gRu3LjBHgsJCUFeXh4yMjK6pGZFobCwkHXHfRFCCK5du8aKzu3bt0UydQwMDKTuv8bM6jQ1NbGiw2x8M8Okurq6UndIkBZ1dXXIysqCqampxC7S7aW18ScTGcHcPUq6ZAn8IzI2NjawtraWuL6TJ09iwYIFOHDggMisCqXnIDOhkWRQysvLC0OHDsV3333HHouPj0dgYCDq6+sVcv1e1jAtw0ymTn5+Pry8vMDlcuHn5wcTExOp+68xotPQ0AA9PT3U1tbC2NgYTk5OCjVbwsBEFZibm8POzq5L38OLS5ZCobBd7t0vUlNTg6ysLFhbW3dIZBITEzFnzhxER0cjMDBQ4tehKDYyu1SUZFDq0aNHbT6eabeliA+Hw8HAgQOxbt06ZGVl4caNG3j33Xdx8OBB2NvbY9KkSdi5cydKS0vR2dckHA4HOjo66N+/Pzw9PfHWW2+hqqoKHA4HZWVlyMnJQUlJCZqbmzv150qTmpoaZGZmwtLSsstFBgCUlJRgaGgIR0dH9sJMXV0dd+7cQWpqKvLy8vDw4UO0tLS88jUYkbGysuqQyCQnJ2Pu3LnYvXs3/vWvf0n8OhTFR+a7q+IMSr3q8W0dp4gPh8OBnZ0dwsLCsGbNGhQXF7OZOmFhYRg2bBi4XC64XG6nZ+pUVlbi+vXrsLW1hY2NDRoaGsDj8fDw4UPcvHkT+vr67Ma3vPqvVVdXIzs7m3VdkDUcDgf6+vrQ19eHnZ0d6urqUF5ejuLiYhQUFLRp/MncjfXr169D7+HChQuYPXs2tm/fjtmzZ9O/zx6OzIRGkkGpPn36tPl4FRUVhUyDlGc4HA6srKywatUqhIaG4uHDh4iLi0NcXBw+++wzDBkyhI036GjIGOP+a29vz7bOampqsss2jP9aeXk5bt++DV1dXVZ05CU7h+nM6uh+hrTgcDjQ1taGtrY2bG1t0dDQgPLycjx69Ai3bt2Crq4u9PT0UFZWxgbHScrly5cRGBiILVu2YP78+VRkKLJvBhBnUCosLAy//fYbCgoK2GNLlixBbm4ubQboIggh4PF4bKZOamoq28DB5XLF7q4qLy9Hfn4+nJyc2uX+29zczIrO06dPRVp8ZWVJwwwydqT9V5Y0NzejpKQE9+7dAyFExF5IR0dHrP/PP//8EwEBAYiIiMC///1vKjIUAHLS3tzeQSmmvXnx4sX44IMPkJGRgZCQENreLCMIIXj69KlIpo6dnR0bb+Dk5PTajidmWUxSWxymxZdxRtbU1ISJiQlMTU27zH+NcTBur3+cPFJXV4fMzExYWFjAyspKJLpaVVW13U4P2dnZ8PPzw2effYbQ0FAqMhQWuRjYFGdQKi0tDaGhoezAZlhYGB3YlAMIISKZOufOnYOlpSUrOkOGDBERnbt37+L+/ftwcXHplEwPpiGEOUGqqamxoiMt/zVmya8rkz07G6YN28zM7KXmhRejlgGwezovDt1evXoVvr6+WL16NcLCwqjIUESQudBQuic1NTU4deoUYmNjkZiYCCMjI/j7+4PL5SI+Ph5//fUX4uPjRYwJO4u25kpaW+F0xkmQcV3uSOCXrKmvr0dmZib69OkDe3v71/5ehEIhKisr2TvIlpYW5OfnQ1tbG87OzggMDMSyZcuwfv16KjKUl1C8STiKQqCjo4OZM2fi2LFjePToETZv3oyKigpMmTIFP/30E5ycnHDt2jUIBIJO/9mMsDg7O8Pb2xtOTk6sMeeFCxdQUFCAJ0+eQCgUSvT65eXluHr1arv3leQRxrXA1NT0jSIDPG+bNjAwgIODA95++224u7ujrq4Omzdvxvjx46Gvr8/GHnQVkZGRsLGxgYaGBtzc3HDx4sV2PS89PZ0NnKN0DVRoWiHOBzcuLg7jx4+HsbExdHV14eHhgbNnz3ZhtYqDlpYWAgICoK2tDWNjY3zzzTcQCoUICgrCgAEDsHLlSqSmpr52tkNSlJSUYGRkBCcnJ3h5ebH2/NeuXUNaWhquXbuGioqKdgsej8dDfn4+nJ2d0adPn06vtytg/NdMTEwkci3gcDjQ1dVFYGAg+Hw+5s+fj+DgYOzZswdmZmZYvXq1lCr/h6NHj2LlypVYt24dcnJyMHr0aEyaNAnFxcWvfV5VVRXmzp2LsWPHSr1Gyj/QpbP/Ia7v2sqVK2Fubo4xY8ZAX18f0dHR2Lx5M65cuYKhQ4fK4B3IN3v37sWWLVuQlJTEbpo3Nzfj/PnziI2NxfHjxwGAzdTx9vaWqiU+s6fE4/HYpaDWVjhtTdCXlZXhxo0beOutt2BsbCy12qRJQ0MDMjMzO+y/VlRUhIkTJyIgIADbtm1j92tKS0vx7NkzqadlimtfxTBz5kzY29tDWVkZx48fR25urlTrpDyHCs3/kPSD25pBgwYhKCgI69evl1aZCotAIEB1dfUr83D4fD4uXLjAZuo0NjZiypQp4HK58PHxkeqQZusMGB6Ph8bGRpHgMVVVVbZDbsiQIQo7s9XY2IjMzEwYGhpi4MCBEovMgwcPMGHCBEycOBGRkZFd7kUniX0VAERHRyMyMhIZGRmIiIjoVKERCAQvXZy8afi8JyFzZwB5gEk+XLt2rcjxd999F5cvX27XawiFQtTU1HRKB1V3RFlZ+bWhayoqKvDx8YGPjw9++OEHpKenIyYmBqtWrUJVVRV79Tx+/PhOH9JkloJ0dXXRv39/1NXVsemh169fR69evVBfX4/BgwcrvMgYGBh0SGTKysrg6+sLHx8f7NixQyaGp5LYV925cwdr167FxYsXOz1ugs/ns6/59ddfo6qqChMmTICXlxcVm/9B92gg2Qf3RbZs2YK6ujpqHNgJKCsrw8vLC99//z2KioqQmJgIS0tLrFu3DtbW1nj//fcRExODmpqaTv/ZzAR9//794eHhwdrhaGpq4urVq8jKysKDBw/Q1NTU6T9bWjDBax3NxOHxePD19YWHhwf27Nkj8+iG9tpXCQQCzJ49G59//jkGDBjQqTU8efKEFZn58+ezZqohISFITk6mIvM/6B1NK8T1XWM4fPgwNmzYgISEBIkGDymvRklJCR4eHvDw8MA333yD7OxsxMTEICIiAosXL8a4ceMQEBCAyZMnd/q8zP3791FcXAw3Nzfo6+u/ZNsiq7RLcWAipPX19TskMhUVFfDz88OQIUMQHR0tU5ER176KMTrNycnBsmXLADxfgSCEQEVFBefOnYOPj4/YdezZswdnzpxBXFwcjh07Bh6PhzNnzgAA9PX18fXXX8Pb2xvKyso9XnDoHQ0k811jOHr0KIKDg/Hrr79i3Lhx0iyzx6OkpAR3d3ds2rQJN2/eZBsvvv32W1hbW2PGjBn4+eef8eTJkw47TRcWFuLevXtwdXWFvr4+gOf+a1ZWVhg2bBhGjx6NPn364PHjx0hPT8eVK1dQWFiIurq6TninnQMjMnp6eh2KXHj69Cn8/Pxgb2+PAwcOyDzpVE1NDW5ubkhKShI5npSUBE9Pz5cer6uri/z8fOTm5rJfISEhcHBwQG5uLkaMGCFRHbdv34a6ujoAYOzYsdi6dSuA544VI0aMQFNTE1paWnq8yABUaACI/8FlOHz4MObPn49Dhw7B19dX2mVSWqGkpITBgwcjPDycPYl4enrixx9/hK2tLbhcLqKiotgYaXFgXAvc3d1fOVCqrq6Ovn37ws3NDV5eXrC0tERlZSUyMjKQkZGBu3fvora2ttOjFdoLs+/IhMdJerKrrKxk3bqPHj0qN5lPq1atwt69e7Fv3z7cuHEDoaGhKC4uZl1CPvnkE8ydOxfA88+Ks7OzyBfjAu7s7AwtLS2JarCysmIjLHr37g17e3sAgKqqKuzs7KCpqQlNTU0IBAIkJCRIpX1fUaBLZ/9j1apVmDNnDtzd3VnftRc/uK191w4fPoy5c+fiu+++w8iRI9m7IU1NTalMu1NeDYfDgaOjIz777DN8+umnuHv3LmJiYvDLL79g1apV8PT0BJfLhb+/P8zMzF550iWE4O7duygtLYW7u3u7TTrV1NRgYWEBCwsLtLS0sFY4RUVF0NDQYK1wxDWolJTm5mZkZmZCR0enQyJTXV2NadOmwcjICDExMVJtNxeXoKAgPHnyBOHh4ax91enTp9m46bKysjfO1EhCbGws+vXrB1tbWxgbG+P+/fvg8/lQVlZm7/T4fD74fD44HA4KCgoQFhYGBwcHcLncTq9HUaDtza0Qx3ftnXfeabONct68edi/f38XVk15FYQQ3L9/H7GxsYiPj8cff/yB4cOHs5k6ffv2ZU/CQqEQt27dQnl5Odzd3SW+ym2NQCDA48ePwePxRAwqTU1NoaenJxXRYe5ktLS04OzsLHFXWG1tLaZNmwY1NTWcOnVKbvegupLS0lJwuVwUFhZCR0eHvbA4deoUtLS0XuqGnDp1Km7fvg0ul4svv/xSRlXLB1RoKD0CQghKS0vZTJ309HS4uLggICAAfn5++Oqrr9DU1ITdu3dLJeOmtUFleXm5iP+avr5+p7QJMyLTq1cv1gFBEurr6zFjxgwQQnDq1CmZxS/IG0xzUHZ2NgoLCxEVFYXExEQMGzYMurq67MULc+cSHByMhoYGHDp0CEDbszY9BSo0lB4Hk6kTHx+P2NhYpKenQ0tLC/PmzcP7778vkS2LOAiFQjx79gw8Hg8VFRUghLCiY2BgIJFAtLS0ICsrC5qamh0SmcbGRgQFBaGurg6JiYnQ1dWV6HV6AllZWVi+fDlmz56Nhw8fIjo6GiNGjMDRo0ehrq6OiooK1kGiJ4sMQIVGbomMjMQ333yDsrIyDBo0CNu2bcPo0aPf+Lz09HR4e3vD2dmZ2mu8AYFAgEWLFiE1NRVLlixBamoqkpOTYW9vD39/f0ydOhWOjo5SHUokhKCyspK1whEIBDA2NoaJiQkMDQ3bdXJiREZDQwODBw+WuN6mpia89957ePz4Mc6dO8d221HaJiMjAwEBAcjPz4eJiQnKy8uhr6//0l4WHdqkQiOXiOu7xlBVVQVXV1fY2dmBx+NRoXkDX3/9Nfbt24fk5GRYWFiw/mcnTpxgM3X69evHik5HTuLtgRCC6upqVnSam5tFrHDaaituaWlBdnY21NTUXsr8EYfm5mbMnTsXDx48QHJyMnW4aAcVFRXw8PDA+fPnRf4uhUKhTBwT5BkqNHIINQzsGmpra1FXV/fKWanq6mqRTB0TExNWdNzc3KQuOrW1tazoNDQ0wNDQkA0eU1VVBZ/PR3Z2NlRVVTskMi0tLQgODsatW7dw/vx5hTUM7Wr4fD6sra0RExODkSNHyrocuYa2N8sZkvquRUdH4+7duzhw4AAiIiKkXWa3QFtb+7Ub3bq6upg1axZmzZqFuro6dgrc398fenp68Pf3R0BAAEaMGNHp6+8cDgc6OjrQ0dGBnZ0damtrUV5ejuLiYhQUFKB3795oaGjo8HIZn89HSEgICgoKkJKSQkWmnRBCUFxcDEtLSzg4OMi6HLmHCo2cIW+GgZTnaGlpYcaMGZgxYwYaGhpw7tw5xMXFITAwEBoaGvDz80NAQABGjRollf8DRhRtbW1RU1OD3Nxc8Pl8NDY2Iicnh20mEMflWiAQYPny5cjKykJqauobXTAo/8DhcGBra4uUlBR2KLMnb/a/CXpWklPkwTCQ0jaamprsLE5zczN+//13xMXFYe7cueBwOPD19cXUqVPh5eXV6UOOfD4fN2/eRK9eveDi4oKWlhY23uD27dvQ1dVlZ3VeN/siFAoRGhqKS5cuISUlBebm5p1aZ0+B+R1TkXk9dI9GzhA3a6OyshK9e/cW+aAzhoHKysoSGwZSxKelpYXN1ElISEBTUxN8fX0REBCAMWPGdDhTRyAQICcnBxwOBy4uLi+d3JqamlBRUQEej4dnz55BW1sbpqamMDExERlAFQqFWLNmDU6dOoXU1FTY2Nh0qC4K5U1QoZFDRowYATc3N0RGRrLHnJycwOVyX2oGEAqFKCgoEDkWGRmJ8+fPIyYmBjY2Np0y5U4RD4FAgEuXLiEmJgbHjx9HdXU1Jk2ahICAAIwbN07soVBGZABg6NChb7yCbmlpYUXnyZMn4HA4OHPmDKZPn46EhATExcUhJSWF9eeiUKQJ7cGTQ+TBMJDSMZSVleHt7Y3t27fj/v37OHPmDMzNzfGf//wHNjY2mDNnDmJjY1FbW/vG1xIIBMjNzQUhpF0iAzw3djQ3N8fQoUPxzjvvwMDAADdv3oSvry92796NSZMmobKysktNPyMjI2FjYwMNDQ24ubnh4sWLr3xsXFwcxo8fD2NjY+jq6sLDwwNnz57tslopnQsVGjkkKCgI27ZtQ3h4OFxcXHDhwoUuMQykSAclJSV4enpi69at+Pvvv3H+/HnY29tj48aNsLa2xsyZM3H48GFUVVW9dOIXCATIy8uDUChst8i8iIqKClxcXODp6QkDAwNs2rQJDQ0NGDduHKytrXH9+vXOequv5OjRo1i5ciXWrVuHnJwcjB49GpMmTXrl5/jChQsYP348Tp8+jaysLIwZMwZ+fn7sXR1FsaBLZxSKjBAKhbh69SpiY2MRFxeHv//+G2PHjoW/vz+mTJkCNTU1fPjhh3jvvfcwYcIEibvZCCHYunUrtm3bhvPnz2PIkCEAnu/pJCcnY8yYMVI3zZR0Nqw1gwYNQlBQENavXy+tMilSgt7RUCgyQklJCS4uLti4cSOuXbuGnJwcjBw5Ert27YKNjQ08PT1x/fp1DBgwQOKuJkIItm/fjm+//RZnz55lRQZ4nqkzefJkqYsMMxv27rvvihx/02xYa4RCIWpqaqhjgYJChYbSbsRZYweeXzGvW7cOVlZWUFdXR//+/bFv374uqlax4HA4cHJywvr163HlyhV4eXmhqakJhoaGcHd3x+TJk/Hjjz+irKys3fsqhBD8+OOP2LRpE06fPg13d3cpv4u2kWQ27EW2bNmCuro6BAYGSqNEipShczSUdsGssbf2X5s0adJr/dcCAwPB4/EQFRUFOzs7lJeXg8/nd3HlioVAIEBQUBCqqqqQn58PPT09FBUVITY2FjExMVi9ejVGjBjBzvFYWlq2OV9FCEF0dDQ2bNiAU6dOyYVFSntnw17k8OHD2LBhAxISEmBiYiKt8ijShFAo7WD48OEkJCRE5NjAgQPJ2rVr23z8mTNniJ6eHnny5ElXlNet2Lt3b5u/N6FQSIqLi8m2bduIl5cXUVZWJsOGDSNffPEFuXbtGqmtrSV1dXWktraW7Ny5k2hra5OUlJSufwMv0NTURJSVlUlcXJzI8RUrVhAvL6/XPvfIkSNEU1OTnDx5UpolUqQMFRrKG5HkRLFkyRIyduxYEhYWRszNzYm9vT356KOPSH19fVeU3O0RCoXk4cOHZMeOHWTs2LFERUWFuLi4kP/7v/8jX375JdHS0iJnz56VdZksw4cPJ0uWLBE55ujo+MoLFUIIOXToENHQ0CDx8fFSro4ibajQUN5IaWkpAUDS09NFjn/xxRdkwIABbT5nwoQJRF1dnfj6+pIrV66QU6dOESsrK7JgwYKuKLlHIRQKSUVFBdm7dy/x8fEhAMiBAwdkXZYIR44cIaqqqiQqKooUFBSQlStXEi0tLVJUVEQIIWTt2rVkzpw57OMPHTpEVFRUyI4dO0hZWRn7VVlZKau3QOkAVGgob4QRmsuXL4scj4iIIA4ODm0+Z/z48URDQ0PkxBAbG0s4HA69q5EiQqGQPHjwQNZltMmOHTuIlZUVUVNTI66uriQtLY393rx584i3tzf7b29vbwLgpa958+Z1feGUDkObAShvxMjICMrKyi91CJWXl7/S8dfMzAwWFhbQ09Njjzk6OoIQgpKSEmp9IiU4HA4sLS1lXUabLF26FEuXLm3ze/v37xf5d2pqqvQLonQZtL2Z8kbU1NTg5uaGpKQkkeNJSUnw9PRs8zmjRo3Cw4cPRSxWbt++DSUlJbk9EVIoFOlAhYbSLsTxXwOA2bNnw9DQEAsWLEBBQQEuXLiA1atXY+HChVIfEKRQKPIFXTqjtIugoCA8efIE4eHhKCsrg7Oz82v917S1tZGUlITly5fD3d0dhoaGCAwMpOmfFEoPhHqdUSgUCkWq0KUzCoVCoUgVKjTdgIKCgh7bpSOu/9rBgwcxZMgQ9OrVC2ZmZliwYAGePHnSRdVSKD0TKjQKDLPqWVJSAh8fHzx9+rRLg6xkjbgZJ5cuXcLcuXMRHByM69ev49ixY/jrr7+waNGiLq6cQulZUKFRYBhDwn79+sHBwQFZWVngcDi4cuUKpk+fjhUrVnRr4dm6dSuCg4OxaNEiODo6Ytu2bejbt69I5klr/vjjD1hbW2PFihWwsbHB22+/jcWLFyMzM7OLK6dQehZUaBQcgUCAgQMHQkNDA8nJyVizZg3ee+89GBgYYNasWeBwOBAKhd3ONVmSjBNPT0+UlJTg9OnTIISAx+MhJiYGvr6+XVEyhdJjoe3NCo6ysjLq6+uhpKSE6OhojBw5Er/++iuGDh0KDoeD0tJSWFhYQEmpe11TSJJx4unpiYMHDyIoKAiNjY3g8/nw9/fH9u3bu6JkCqXH0r3OPj2E1sthP//8M95//33k5OTAwsICCQkJcHV1BYfDAZ/Px7Jly2BtbY3IyEgIhUIZVi0dxMk4KSgowIoVK7B+/XpkZWUhMTERhYWF7NApRRRxGy3S0tLg5uYGDQ0N2NraYteuXV1UKUXeoXc0CgiHw8Gff/6JTz75BA8fPsSKFSvg7OyM7OxsVFRUwNjYGMDz+NsNGzbg6NGjyMvL61Z3NZL4r3311VcYNWoUVq9eDQAYPHgwtLS0MHr0aERERMDMzEzqdSsK4gbdFRYWYvLkyfjggw9w4MABpKenY+nSpTA2Nsb06dNl8A4o8kT3OfP0IEpLS7Fs2TL07dsXp0+fxpIlSzBr1ixcuHABNTU1AJ6LjJqaGkxMTFBXVwcfHx/2eHdAEv81ZomxNcrKygDQrZsmJEHcRotdu3ahX79+2LZtGxwdHbFo0SIsXLgQmzdv7uLKKfIIFRoFxMLCAn/++Sf27NkDGxsbAICKyvOb05s3bwIAe0ItLi5GSUkJ3nnnHZHj3QFx/df8/PwQFxeHnTt34t69e0hPT8eKFSswfPhwmJuby+ptyB2SNFpkZGS89PgJEyYgMzMTLS0tUquVohjQpTMFRCgUQklJCaqqquwx5mqyurqaPdbQ0ID8/HyYmpq+cjlJkRHXf23+/PmoqanBDz/8gI8++gj6+vrw8fHBf//7X1m9BblEkkaLR48etfl4Pp+Px48f02XJHg4VGgWkrbsSdXV1LFy4UOSYUChEbm4uRowYwf67O93RAOJlnADA8uXLsXz5cilX1T0Qp9HiVY9v6zil50GFpptACIFQKISysjIIIdixYwd69+6Np0+fYt68eQDoHzylfUjSaNGnT582H6+iogJDQ0Op1UpRDLrX5W0PhsPhsBvb9fX1KC4uxueff44jR44gPDwcDQ0NVGgo7UKSRgsPD4+XHn/u3Dm4u7uLLPFSeiiyyI+mdB2ZmZkkKiqKVFdXy7qUHkFaWhqZMmUKMTMzIwBIfHz8G5+TmppKXF1dibq6OrGxsSE7d+6UfqFv4MiRI0RVVZVERUWRgoICsnLlSqKlpUWKiooIIYSsXbuWzJkzh338vXv3SK9evUhoaCgpKCggUVFRRFVVlcTExMjqLVDkCLp01g0hrZbR3Nzc4ObmJuuSegx1dXUYMmQIFixY0K75EXmdPxG30cLGxganT59GaGgoduzYAXNzc3z//fd0hoYCgAafdXvIGzZwKdKDw+EgPj4eAQEBr3xMWFgYTpw4gRs3brDHQkJCkJeXh4yMjC6okkKRPnSPpptDRUa+ofMnlJ4AFRoKRYa8af6EQukOUKGhUGQMnT+hdHeo0FAoMoTOn1B6AlRoKBQZQudPKD0BKjQUSidSW1uL3Nxc5ObmAnjevpybm8u2Ar9o9BkSEoL79+9j1apVuHHjBvbt24eoqCh8/PHHsiifQpEKtL2ZQulEUlNTMWbMmJeOz5s3D/v378f8+fNRVFSE1NRU9ntpaWkIDQ3F9evXYW5ujrCwMBrGRulWUKGhUCgUilShS2cUCoVCkSpUaCgUCoUiVajQUCgUCkWqUKGhUCgUilShQkOhUCgUqUKFhkKhUChShQoNhUKhUKQKFRoKhUKhSBUqNBQKhUKRKlRoKBQKhSJVqNBQKBQKRar8P4L9GWjNL1srAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dde.saveplot(losshistory, train_state, issave=True, isplot=True)\n", "dde.saveplot(losshistory1, train_state1, issave=True, isplot=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "x_test= []\n", "for i in x:\n", " for j in t:\n", " x_test.append([i,j])" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "u_preds = model.predict(x_test)\n", "u_preds_1= model1.predict(x_test)\n", "u_true = func(np.array(x_test))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(1,3,figsize=(20,5))\n", "im1 = ax[0].imshow(u_preds.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im1)\n", "im2 = ax[1].imshow(u_true.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im2)\n", "xticks= [0,20,40,60,80]\n", "xlabels = [0,0.2,0.4,0.6,0.8]\n", "yticks =[80,60,40,20]\n", "ylabels=[0.2,0.4,0.6,0.8]\n", "ax[0].set_xticks(xticks)\n", "ax[0].set_xticklabels(xlabels)\n", "ax[0].set_yticks(yticks)\n", "ax[0].set_yticklabels(ylabels)\n", "im3= ax[2].imshow(np.abs(u_true-u_preds).reshape((100,100)),cmap=\"Reds\")\n", "fig.colorbar(im3)\n", "ax[0].set_title(\"PINN prediction\",fontsize=15)\n", "ax[0].set_xlabel(\"t\",fontsize=15)\n", "ax[0].set_ylabel(\"x\",fontsize=15)\n", "\n", "ax[1].set_title(\"Ground Truth\",fontsize=15)\n", "ax[1].set_xlabel(\"t\",fontsize=15)\n", "ax[1].set_ylabel(\"x\",fontsize=15)\n", "ax[2].set_title(\"Pointwise Error\",fontsize=15)\n", "ax[2].set_xlabel(\"t\",fontsize=15)\n", "ax[2].set_ylabel(\"x\",fontsize=15)\n", "ax[1].set_xticks(xticks)\n", "ax[1].set_xticklabels(xlabels)\n", "ax[1].set_yticks(yticks)\n", "ax[1].set_yticklabels(ylabels)\n", "\n", "ax[2].set_xticks(xticks)\n", "ax[2].set_xticklabels(xlabels)\n", "ax[2].set_yticks(yticks)\n", "ax[2].set_yticklabels(ylabels)\n", "ax[0].xaxis.set_tick_params(labelsize=15)\n", "ax[0].yaxis.set_tick_params(labelsize=15)\n", "ax[1].xaxis.set_tick_params(labelsize=15)\n", "ax[1].yaxis.set_tick_params(labelsize=15)\n", "ax[2].xaxis.set_tick_params(labelsize=15)\n", "ax[2].yaxis.set_tick_params(labelsize=15)\n", "fig.suptitle(\"Wave equation using PINNs with sinusoidal basis\",fontsize=15)\n", "fig.savefig(\"wave_5basis.pdf\",dpi=500)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig,ax = plt.subplots(1,3,figsize=(20,5))\n", "im1 = ax[0].imshow(u_preds_1.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im1)\n", "im2 = ax[1].imshow(u_true.reshape((100,100)),cmap=\"RdBu\")\n", "fig.colorbar(im2)\n", "xticks= [0,20,40,60,80]\n", "xlabels = [0,0.2,0.4,0.6,0.8]\n", "yticks =[80,60,40,20]\n", "ylabels=[0.2,0.4,0.6,0.8]\n", "ax[0].set_xticks(xticks)\n", "ax[0].set_xticklabels(xlabels)\n", "ax[0].set_yticks(yticks)\n", "ax[0].set_yticklabels(ylabels)\n", "im3= ax[2].imshow(np.abs(u_true-u_preds_1).reshape((100,100)),cmap=\"Reds\")\n", "fig.colorbar(im3)\n", "ax[0].set_title(\"PINN prediction\",fontsize=15)\n", "ax[0].set_xlabel(\"t\",fontsize=15)\n", "ax[0].set_ylabel(\"x\",fontsize=15)\n", "\n", "ax[1].set_title(\"Ground Truth\",fontsize=15)\n", "ax[1].set_xlabel(\"t\",fontsize=15)\n", "ax[1].set_ylabel(\"x\",fontsize=15)\n", "ax[2].set_title(\"Pointwise Error\",fontsize=15)\n", "ax[2].set_xlabel(\"t\",fontsize=15)\n", "ax[2].set_ylabel(\"x\",fontsize=15)\n", "ax[1].set_xticks(xticks)\n", "ax[1].set_xticklabels(xlabels)\n", "ax[1].set_yticks(yticks)\n", "ax[1].set_yticklabels(ylabels)\n", "\n", "ax[2].set_xticks(xticks)\n", "ax[2].set_xticklabels(xlabels)\n", "ax[2].set_yticks(yticks)\n", "ax[2].set_yticklabels(ylabels)\n", "ax[0].xaxis.set_tick_params(labelsize=15)\n", "ax[0].yaxis.set_tick_params(labelsize=15)\n", "ax[1].xaxis.set_tick_params(labelsize=15)\n", "ax[1].yaxis.set_tick_params(labelsize=15)\n", "ax[2].xaxis.set_tick_params(labelsize=15)\n", "ax[2].yaxis.set_tick_params(labelsize=15)\n", "fig.suptitle(\"Wave equation using vanilla PINNs\",fontsize=15)\n", "fig.savefig(\"wave_vanilla.pdf\",dpi=500)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.64335889 -0.64356548 -0.64284348 ... 0.10621931 0.10628265\n", " 0.10626791]\n", " [-0.54799581 -0.5564008 -0.57833241 ... 0.17048107 0.19322714\n", " 0.20143371]\n", " [-0.4536248 -0.47009937 -0.51433171 ... 0.23416977 0.27924486\n", " 0.29554464]\n", " ...\n", " [-0.38194997 -0.36728043 -0.32534917 ... 0.09924098 0.05672547\n", " 0.04082416]\n", " [-0.34532607 -0.33833825 -0.31732432 ... 0.10118914 0.07950658\n", " 0.07121412]\n", " [-0.30767816 -0.30850166 -0.30875915 ... 0.1036396 0.10314256\n", " 0.10258643]]\n" ] } ], "source": [ "print((u_true-u_preds).reshape((100,100)))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "def plot_function(lx,rx,ly,ry,u_sol,out,method):\n", " methods=[\"W1 (uniform)\",\"W2 (max_by_mean)\",\"W3 (std)\",\"W4 (mean+std)\",\"W5 (mean*std)\",\"W6 (kurtosis)\"]\n", " plt.subplot(1,3,1)\n", " plt.imshow(u_sol, cmap=\"twilight\", origin=\"lower\",vmin=-1.0,vmax=1.0)\n", " plt.xticks(np.arange(0,101,50),np.linspace(lx,rx,3),fontsize=12)\n", " plt.yticks(np.arange(0,101,50),np.linspace(ly,ry,3),fontsize=12)\n", " plt.xlabel(r\"$x$\",fontsize=15)\n", " plt.ylabel(r\"$y$\",fontsize=15)\n", " plt.title(\"Ground Truth\",fontsize=18)\n", " plt.colorbar(fraction=0.046, pad=0.04)\n", "\n", " plt.subplot(1,3,2)\n", " plt.imshow(out, cmap=\"twilight\", origin=\"lower\",vmin=-1.0,vmax=1.0)\n", " plt.xticks(np.arange(0,101,50),np.linspace(lx,rx,3),fontsize=12)\n", " plt.yticks(np.arange(0,101,50),np.linspace(ly,ry,3),fontsize=12)\n", " plt.xlabel(r\"$x$\",fontsize=15)\n", " plt.ylabel(r\"$y$\",fontsize=15)\n", " plt.title(\"Prediction\",fontsize=18)\n", " plt.colorbar(fraction=0.046, pad=0.04)\n", "\n", " plt.subplot(1,3,3)\n", " plt.imshow(np.abs(out-u_sol)/np.max(np.abs(u_sol)), cmap=\"nipy_spectral\", origin=\"lower\",vmin=0,vmax=0.2)\n", " plt.xticks(np.arange(0,101,50),np.linspace(lx,rx,3),fontsize=12)\n", " plt.yticks(np.arange(0,101,50),np.linspace(ly,ry,3),fontsize=12)\n", " plt.xlabel(r\"$x$\",fontsize=15)\n", " plt.ylabel(r\"$y$\",fontsize=15)\n", " plt.title(\"Point-wise Error\",fontsize=18)\n", " plt.colorbar(fraction=0.046, pad=0.04)\n", " \n", " plt.gcf().set_size_inches(15,5)\n", " plt.tight_layout()\n", " plt.suptitle(\"Poisson Equation using PINN_{}\".format(methods[method]),fontsize=25)\n", " plt.savefig(\"PoissonEqn_{}_based\".format(methods[method]),dpi=800)\n", " return None" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.9.17 ('newtorch')", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.17" }, "orig_nbformat": 4, "vscode": { "interpreter": { "hash": "813e009bea45919a754463d31638190cf3c033fdb5fd5c2966a42653051a1217" } } }, "nbformat": 4, "nbformat_minor": 2 }