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@quantgirluk
Created January 20, 2019 15:20
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Brownian Motion via Random Walks\n",
"\n",
"January 2019 @Quant_Girl\n",
"\n",
"The idea of this post is to show how Donsker's Theorem (also known as Donsker's invariance principle, or the functional central limit theorem) allows us to simulate paths of the one-dimensional standard Brownian motion using different kinds of random walks.\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import sys\n",
"import math\n",
"import random\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.animation as animation\n",
"from matplotlib import style\n",
"from PIL import Image\n",
"from IPython.display import HTML\n",
"import seaborn as sns\n",
"sns.set(style=\"whitegrid\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"plt.rcParams['figure.figsize'] = [14, 7]\n",
"np.random.seed(123)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simple Random Walk\n",
"\n",
"First, we simulate a simple random walk."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def simple_walk(x0=0, n=30, step=1, p=0.5, vis=True):\n",
" \n",
" '''\n",
" Returns a list with the values of a simple Random Walk defined by\n",
" the following parameters.\n",
" \n",
" x0 : starting point\n",
" n : lenght of the walk\n",
" step : size of the steps\n",
" p : probability of going up\n",
" vis : to display de plot True\n",
" \n",
" '''\n",
" \n",
" values = [x0] + [step if random.random()>p else -step for i in range(1,n)]\n",
" walk = np.cumsum(values)\n",
"\n",
" if vis == True: \n",
" plt.plot(walk, linestyle='--', marker='o', color=\"purple\")\n",
" plt.axhline(lw=0.5, color='black')\n",
" plt.ylabel('$S_k$', fontsize=14)\n",
" plt.xlabel('k', fontsize=14)\n",
" plt.title('Simple Random Walk n='+ str(n), fontsize=16)\n",
" plt.show()\n",
" \n",
" return walk"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"simple = simple_walk()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, we scale the vertical axis."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n =len(simple)\n",
"scaled = [0] + [simple[k]/math.sqrt(n) for k in range(1,n)]\n",
"xscaled = range(0,n)\n",
"\n",
"plt.plot(xscaled, scaled, linestyle='--', marker='o', color=\"purple\")\n",
"plt.axhline(lw= 0.5, color='black')\n",
"plt.ylabel('${S}_k/\\sqrt{n} $', fontsize=14)\n",
"plt.xlabel('k', fontsize=14)\n",
"plt.title('Scaled Simple Random Walk n=' + str(n), fontsize=16)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, we scale the horizontal axis to fit our walk into the interval $[0,1]$."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"n= len(simple)\n",
"scaled = [0] + [simple[k]/math.sqrt(n) for k in range(1,n)]\n",
"xscaled = [k/n for k in range(0,n)]\n",
"\n",
"plt.plot(xscaled, scaled, linestyle='--', marker='o', color=\"purple\")\n",
"plt.axhline(lw= 0.5, color='black')\n",
"plt.ylabel('${S}_k/\\sqrt{n} $', fontsize=14)\n",
"plt.xlabel('k/n', fontsize=14)\n",
"plt.title('Scaled Simple Random Walk n='+str(n), fontsize=16)\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above plot may not look like a Brownian motion trajectory since we used a small $n$.\n",
"So, let's visualise a walk of lenght $n=1000$."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"def scaled_walk(walk, vis=True):\n",
" \n",
" '''\n",
" Returns a data frame with the scaled walk\n",
" walk : original random walk -- which is going to be scaled as in Donsker's Theorem -- \n",
" vis : to display the plot of the scaled walk\n",
" \n",
" '''\n",
" \n",
" n = len(walk)\n",
" scaled = [0] + [ (walk[k]/math.sqrt(n)) for k in range(1,n)]\n",
" xscaled = [k/n for k in range(0,n)]\n",
" \n",
" if vis==True:\n",
" plt.plot(xscaled, scaled, linestyle='--', marker='o', color=\"purple\")\n",
" plt.axhline(lw=0.5, color='black')\n",
" plt.ylabel('$W^n(t)$', fontsize=14)\n",
" plt.xlabel('t', fontsize=14)\n",
" plt.title('Brownian Motion approximated by Random Walk n='+ str(n), fontsize=16)\n",
" plt.show()\n",
" \n",
" frame = pd.DataFrame( {'xscaled':xscaled, 'scaled':scaled} )\n",
"\n",
" return frame "
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"long_walk = scaled_walk(simple_walk(n=1000, vis=False), vis=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Normal Random Walk"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"def normal_walk(x0=0, n=30, mu=0, sigma=1, vis=True):\n",
" \n",
" '''\n",
" Returns a list with the values of a Normal Random Walk defined by\n",
" the following parameters.\n",
" \n",
" x0 : starting point\n",
" n : lenght of the walk\n",
" mu, sigma : meand and stdv of the normal distribution\n",
" vis : to display de plot True\n",
" \n",
" '''\n",
" \n",
" values = [x0] + [((random.gauss(mu,sigma)-mu)/sigma) for i in range(1,n)]\n",
" walk = np.cumsum(values) \n",
" \n",
" if vis==True:\n",
" plt.plot(walk, linestyle='--', marker='o', color=\"purple\")\n",
" plt.axhline(lw=0.5, color='black')\n",
" plt.ylabel('$S_k$', fontsize=14)\n",
" plt.xlabel('k', fontsize=14)\n",
" plt.title('Normal Random Walk'+ ' n= ' + str(n), fontsize=16) \n",
" plt.show()\n",
" \n",
" return walk"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"normal_w = normal_walk(n=1000)\n",
"normal_scaled = scaled_walk(normal_w)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exponential Random Walk"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [],
"source": [
"def exp_walk(x0=0, n=30, par=1, vis=True):\n",
" \n",
" '''\n",
" Returns a list with the values of an Exponential Random Walk defined by\n",
" the following parameters.\n",
" \n",
" x0 : starting point\n",
" n : lenght of the walk\n",
" par : lambda parameter of the Exponential distribution\n",
" vis : to display de plot True\n",
" \n",
" '''\n",
" \n",
" \n",
" values = [x0] + [(par*random.expovariate(par)-1) for i in range(1,n)]\n",
" walk = np.cumsum(values) \n",
" \n",
" if vis==True:\n",
" plt.plot(walk, linestyle='--', marker='o', color=\"purple\")\n",
" plt.axhline(lw=0.5, color='black')\n",
" plt.ylabel('$S_k$', fontsize=14)\n",
" plt.xlabel('k', fontsize=14)\n",
" plt.title('Exponential Random Walk'+ ' n=' + str(n), fontsize=16) \n",
" plt.show()\n",
" \n",
" return walk"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dWL9+PRCIHYzq7YGUFwBKSkpQWlqa6XMBgKw5D8otvG4oWbx2KBm8bigZvG4oGVl23SQ0FYjFJoiIiIiIiBLEQIqIiIiIiChBDKSIiIiIiIgSxECKiIiIiIgoQQykiIiIiIiIEsRAioiIiIiIKEEMpIiIiIiIiBLEQIqIiIiIiChBDKSIiIiIiIgSxECKiIiIiIgoQQykiIiIiIiIElSU6ROg7OewOWCvtcO5zQnLcAuq66ohWaVMnxYRERERUcYwkKKYHDYHFk9fDE+bBwDg3OrE4umLAYDBFBERERHlLab2UUz2WnswiFJ52jyw19ozdEZERERERJnHQIpicm5zJrSdiIiIiCgfMJCimCzDLQltJyIiIiLKBwykKKbqumoUlxeHbSsuL0Z1XXWGzoiIiIiIKPMYSFFMklXC1PlTgz9bRlgwdf5UFpogIiIiorzGQIriOvmHJwf/PWvLLAZRRERERJT3GEhRXL5OX9e/vb4YRxIRERER5QcGUhRXUWkRvjPvOwCA9kPtGT4bIiIiIqLMYyBFhlhGWDD4tMHobO/M9KkQEREREWVcUaZPgLJf685WvPnzN3Fk7xE8MvQRAIC50oyaeTWcL0VEREREeYmBFMXleNGBQ5sOhW1z7Xdh0Y2LAIDBFBERERHlHab2UVwr/7xSc7vX7YW91p7msyEiIiIiyjwGUhTX4V2Hdfc5tzrTeCZERERERNmBgRTF1eeYPvo7TYDD5kjfyRARERERZQEGUhTXmT87U3+nH0zvIyIiIqK8w2ITpMlhc8Bea4dzmxOW4RZMuHUCmp5o0jzWuY3pfURERESUXxhIURSHzYHF0xfD0+YBoMyDWr1gNQpLC+Ht8EYdbxluSfcpEhERERFlFFP7KIq91h4MolSeNg8KSgpgKjCFbS8uL0Z1XXU6T4+IiIiIKOM4IkVR9FL1PK3hwZWp0IRx143jOlJERERElHc4IkVRjKbq+b1+ND3ZhIYZDT18RkRERERE2YWBFEWprqtGcXmxsYP9QNOTTSyBTkRERER5hYEURZGsEqbOn4rCkkJjD2AJdCIiIiLKMwykSJNkleB1KxX6zAPMcY9nCXQiIiIiyicMpEjXMdIxGHP5GNT8X03cVD+WQCciIiKifMKqfb1M5EK61XXVSVfVc37lxB7HHqx7bZ2ywQTAH30cS6ATERERUb7hiFQvoi6k69zqBPzKQrqLpy9OqhBEw4wGdBzqCN/oBwqKCjDh1gmoGFoBAKj4RgWmzp/KEuhERERElFcYSPUiegvpJlMIonl+s+Z2X6cPG5ZswPf+9T0AwGV/u4xBFBERERHlHQZSvYhewYdkCkH4vRo5fCHP99XKrwAAthob6kfWs/w5EREREeUVBlK9iF7Bh2QKQZgKTbr7zAPMWP675cGfu5NCSERERESUixhI9SJaC+kmWwiianqV5vaCIuWS6XR1hm1PNoWQiIiIiCgXMZDqJdRqfaFzpPoc0yfpQhBTHp8CU3H4qFRJ3xJc/vzlcB1waT6Ga0kRERERUb5g+fNeQK3WF1loQkwT3SoEUVRShKo7qnDJny8J226vtSuVASMYWbiXiIiIiKg3yLoRKSFEPyHEGiHEyMDPk4QQnwshNggh7s/w6WWlxpmNUUEUAPzv5f9163l9nT4UFhdGba+uq0ZBcfSl4251c54UEREREeWFrAqkhBBnAvgAwImBn80AngUwDcBJAE4XQtRk7gwzx2FzoH5kPeYUzAmrkuewOeDar51q136o3VBFPb3n9nX6gnOiQklWCaX9SqO2e91ezpMiIiIioryQbal9PwVwG4C/B34+A8AGWZY3A4AQ4h8AvgegMTOnlxkNMxrQ9GQTEKhIrlbJAxA3cAk9Vk3zU+dTObc6AROCzxt6vB9++L1+zUAKAOdJEREREVFey6pASpblnwCAEELdNATAzpBDdgIYmubTyiiHzREWRKnUKnlGAhf1WMkqRc+n0lguytPmwTu/eQe/2PmLqCqAKstwi+Y8qWRKrRMRERER5ZqsCqQ0FCC8qW8C4Ev0SdasWZOyE+qu5ubmhI6332XXDHYAZfTIVGCC36+/eG7w2G1ONDc3w36XXXM+VdTxXzkh75B194/6ySh8fv/n8HV0/TkKywox6iejEn6PFB9/p5QsXjuUDF43lAxeN5SMXL5usj2Q2g5gcMjPgwB8neiTnHLKKSgtjZ7Tk27Nzc2oqtJen0nPG7vf0N9pAvy++EEUoFTUq6qqwhu7YjxfiH7D+qFlUQtOqDkBwyYOi9pfVVWF40Ydh4VXLwQAWEZYUF1X3a0qgaQtmeuGCOC1Q8nhdUPJ4HVDyciW66ajoyOpgZesKjah4RMAQghxghCiEMCPkWfzo2KWFDcWQwHoqqhnKjTFPba4vBjn156P9/7wHnas2qF7nGSVUDGkAqfedCpmbZnFIIqIiIiI8kZWB1KyLLcDuB7AvwH8D8A6AK9k8pzSyWFzoKOlIyXPpVbU83tjR1/FfYsxdf5UjLliDADoFptQ3b7+dkx9empKzpGIiIiIKFdkZWqfLMsjQ/5tBzAuc2eTOfZaO3wejSlhEZX2jNKq0hdJDbR8ncrrxgukSvqUJH4iREREREQ5LqtHpPKdbkW+JIIoAEpaX5zHdro6lQDOQCDlsDkwd+BczDHNMbReFRERERFRb8FAKks5bA6YCuLPZzKquLw4blqfyrnNGTeQUsuoq4sBq+tPMZgiIiIionzAQCoLqUGK0cBHi7nSjNJ+pYBJqag3df5UWEYYW+PJPMCM/iP649eHfw3pR9oFJOy10WXU1fWqiIiIiHKVw+ZA/ch6zClgxg3FlpVzpPKdVpCSKNcBF2b7ZkdtD1uMV0f7wXaseWlNzCp8emmHRhYIJiIiIspGDpsDi25cBK/bC0DJuFl04yIAYHViisIRqSyUimDEMtwCv88P92F3cJtklQyNTPl9frz+09fxj5p/YLdjt+7zJ7KdiIiIKNs1zmwMBlEqr9uLxpl5tfoOGcRAKgt1NxgpLi9GdV01/v3jf2N+1fywfZJVwrCJw3D23WfHDKg6XZ3YuHQjDm0+pLm/uq4axeXFmq9LRERElIvUud9Gt1N+YyCVharrqpUy5UlQ50NJVgll/cvgOuiKyvXd8u4WHNp8SDMYiqRXbCI4ujXcEjYPi8PeRERERJQPOEcqC0lWCQuvXpjw4/oO6YtZW2YBUHJ817y0Bh0tHVh4zcJg2XN1LanWr1uDQc+r172qW9giVvlzySoxcCIiIqJew1xp1hx9MleaM3A2lO04IpVl1NGjZBzeeTj4HIunL0ZHS4eyIzJG8gO7PtsFQAmGrlhwhe7I1JYVW2K+Ztv+Niy8eiE2LduU1DkTERERZYuaeTXKupshCooLUDOvJkNnRNmMgVQWUQMg59bkik1YhilznoxU/fMc6dqvpulpXQ0fPPgBGmY06D5PQWEBHDaHblEKIiIiolwhWSWceceZwZ/Ljy7H5c9dzgwc0sRAKosYCYBiLdLrPuKGw+YwVPWv7Kiy6I0+7WObnmzSXUOhtF8pTAUmuA5wEiYRERHlvgm3TkDVzVUAgIsfuphBFOliIJVFjARAfp9fNw3Ptd+FxdMXwzwgdh5vcXkxJj86OWxbzLKefugutLvmpTUAgPfvf5+L1hEREVHOqzyxEtUPKFWI2w+2Z/hsKJsxkMoiRsqeq9Xx9EqXqyNaesGWVnU9h80Rt6ynVpCnpiL6fcokLOdWJxZPX8xgioiIiHKW66ALR/YeQUFxATo7OjN9OpTFGEhlkXjlyNV1miSrpFTn08nycx1wYdx146L2mwpNuHDOhXj3vnfR/HRzcLveaFMorSBPKxXR0+Yx9HxERERE2ejzv3+Ox8Y8hr7H9oX913Zm3JAuBlJZRLJKuKT+kuDP5kqzUm5TZ50mvREsy3ALNizZEFWtz+/1Y/nvlmP/+v1dFf0QP6VQb6FdvccZSVEkIiIiykZfffQVAKBlewvgZ8YN6WMglWWOv/j44L+LzcW4cM6FmO2bjVlbZkVNdtQawVKDHr1gpmV7CwCgqLRrCbFYKYUVQyp0F9qNFcgRERER5aIvl34ZtY0ZN6SFgVSWaXcqkxoveuAitGxviVnFTy1bbhlhiRq10gtm1Kp/haWFwW2xUgpv+OAG3Wo1sQI5IiIiolzU4ezQ3M6MG4pUFP8QSqf2Q0ogNeCEAQDCR460SFZJM9CprqvG4umLowIxv1fJ99vZvBP4addzAMqcJ+c2JyzDLcG1rAqLC6FHfdySO5ag/WA7+g3th0l/nMQyoURERJSzSipK4G51R21nxg1F4ohUllEDqZUPrwQQPnKUCHW0Sm/dqXWvrYs6ftaWWZjtm62MNPVRRpqePffZmDnBklXCWOtYAEDLjhbYa+3MISYiIqKcNfHnE1FYEt7+YsYNaWEglWUqBlegtF8pdqzaAQB4p/adpAMTySrB7/dr7juy54jmdrWkueeIMpIVb4Klw+boqgDICZlERESU4y78/YWY9uw0lPYrBaBd8IsIYCCVVRw2B2yTbWEV9dRFdpMNTPoN7ae5XW94OtGS5vZaO7wdXsPHExFRfnPYHKgfWY85BXNYVpqy0oGNBzDotEG48L4LYRlhwe3y7QyiSBMDqSzRMKMBC69ZqLkwbncCk9N+cprm9nHXjdPcnmhJc5ZAJyIio9SsB+dWJ7MYKGvZ77Hj/131/3DWzLMwa8usuPPVKX8xkMoCDpsDTU82Ra37FCrZwKSkb0nYz+qcq9Ay66ESLWnOEuhERGQUF3KnXNDZ3omiMgZPFB8DqSxgr7XHDKKA5AITh82Bd377Ttg2NQ1v8/LNmo9JtKQ5S6ATEZFRzGKgXNDZoQRSuz/fjX9c8g/s+mxXpk+JshQDqSwQ7waSbGBir7Wj09WpuW/FvSvwwqQXorbHWptKi2SVlDTBQHFAU6EJ464bx1xiIiKKwiwGyiSj8/M62ztRVFqEdYvWYeNbG/HUaU9xPh9p4rhlFghdtylSqaUUUx6bklRgEi9A22zfjIYZDZjy+JSw7XprU2lx2BxYvWB1cETN7/Vj9YLVGH7OcAZTREQURmuNQ2YxUDo4bA68dsNr8Hl8AJT5ea/d8BoARLVXvB1etLe344MHPlA2hMzn0zqe8hdHpLKAVnqc6lr7tUl/YI308DXPb07quVXMdyciIqPUrAd1/km/Yf1YVprSonFmYzCIUvk8PjTObOwaqTLNwX1F92HHqh3Yu2YvOtvDs3rYvqFIDKSygHpjqRhSoaTThQRA3akUEytAU/m9cSZnxcF8dyIiSoQaNJ39y7Nx57Y7GURRWmhVRVa3BytJoqtd5Pdpt4/YvqFQTO3LEpHpdI+OfhQHvjwAc6W5W88JKL0wel8gpkJT0s8P6KclMt+diIi0eN1edLZ3wuf1sToaZYXIzJpY2L6hUByRyiJ71uzBtg+2wWFz4PDuwwCAZyY+063JjZJVwt377sao6lGa+6umVyX93ACr9hERUWLURec//svH2LRsU4bPhvJFdzqmQ7kPu1l0goIYSGWRlY+sxItTX8Ti6YvhbnUDSN1ihdcuuxYTbp0QHIEyFZow4dYJUYUmEpVolT8iIspv7c724L9fmvoSq6FRWtTMq0nJ86ipgLxmCWBqX1Zxt7rhOeyBrzN8MqQ6ubG7wcmUx6d0O3DSkkiVPyIiyj8OmwP2Wjuc25wo7Vcato/V0CgdJKuEhVcvTMlzpapdRrmPI1JZxN3qjgqiVLkwufEJ6Qm8fffbmT4NIiLKIg6bo2syvx/ocHZEHcNqaJQOlhGpm9+UC+0y6nkMpLJIR2sHCksLNfdl++RGh82Bfev24aOHPmKaBhERBWktk6GFDVPqaSd//2QggRpbpkKTbrvMPCA1c64otzGQyiLuw24cffLROVe8Qe1tVEfTUjWvi4iIcp/RACnbOwwp9w06dRDgB4r7xF4aBlDaXlXTq3QDL3cri04QA6msoVbq2/XpLhSZi5TqMjlSvIGL8hIRkR6jAdLoyaN7+Ewo33ndXgDAGXecAVOhCRXfqNA+0ASMu24cVi9YDW+7V/e52M4hFpvIMIfNEbXOk2u/C8Xlxbjy71dmdQCl4qK8RESkp7quGotuXBT8qZO/AAAgAElEQVRsxOrZsGRDms6I8pW3Q7kGJ9wyAdV11Vjz0hosnr44qjP4pKtOwoYlG+KmpLKdQxyRyiA1JU5rsdxcGtHR6200FZgwp2AO50wREeUxySph3PXj4h7HRin1NDWY39C4AQ8d8xAWXr0QnjYPTAVK/p46H2rEeSMMXY9MRyUGUhkUbwJurtxUtBblBQC/1w/4OWeKiCjfDakaovx/whDdY9gopZ5mGWHBoFMHYcltS8I6sf0+PwqKCzDghAEAgJKKkrjXY7bPX6f0YCCVQfECpVy5qaiL8sZaNTyXRtiIiCi1Ots7AQBej1ez5cFGKaWDmCqUtpfGSjM+jw971+4FACy7exlGTx6t2UkMKBk3464bF3f6hcPmQP3Iembn9GIMpDIoVqCUizcV5hITEZGWqpurMPSsodj7v71Rjdji8uKsL6pEvYfWdIpIbfvasHrBaoy7bpxmQQq/z4/VC1bHDIwi109jdk7vxEAqg/RS4syV5py7qdhr7eh0dcY8JldG2IiIKLWKSovQurMVPk/0UEBBcUFO3e8od737h3cNH+tp82DDkg342caf6e5vnNmo+3hWNM4PrNqXQeqNY9FNi4KVZGr+WoMzbjsjk6eVFCOjTbk2wkZERKnx1l1vKT3zGjpaOtJ8NpSv2g+1J3S8c5sTRaX6TWXXfhccNodmRwArGucHjkhlmGSV0Hdw3+DPH839KCeHfeONNpkrzexxJCLKQw6bAyv/slJ3f2/LVuC8mOzl7fCiuE8xCksKDR1vGW6J+/fTG5XSu6572/We7xhIZZjD5gjrpXNuy80c2nijTTXzatJ0JkRElE3stXbAr7//tJ+eFrUtV4ORhhkNWHjNQs6LyVJetxelFaWY9uw0WEZYABOAAmBQ1aBg6XNVcXkxRk8ejcXTF8d8TnVUKpLW9I1cnP9OsTGQyrDGmY1RN5hczKGVrJJu1T6ORhER5a94qUyb3t4U9nOuTtJ32BxoerKpV9zTeyuv24vC0kJIVgmztszCTStvAnzAt+Z8C9Oe6QquLCMsmDp/qqFFeQFo/n3VisYqy3BLzs1/p/gYSGWQw+bQrR6Tizm0NfNqNIfLORpFRNR7xRs9ipnKZAK2vrs17HG5Okk/1shbLt7Te6OhZw3FSVeeFPy5vLIcAPDFK19g2DnDMGvLLMz2zcasLbMgWSXDfzfnVqfmZyA0aLrl81sYRPVCDKQyKNZNIVdzaH3+6IpMjTMbs74nkYiIEmdk9Ki6rlpJodISCDycW51YePVCzB04V7cohd72bBGr0Z2r9/TeZsItE3DJXy4J/rz5nc0AgM+e/wxPjn8ysU6AUCZofgb8/q7Iuv1gYoUuKDcwkMqgWF+6uZhDa6+1w++J7o5z7XflRFoGERElxsjokWSVcMULV6BsQFlwm6lAO7Jy7XfpB10mZPV9RLfRbcrNe3ouSmRuncPmwJt3vhn8ucPZodkJoLcob5AJmumcr173Ku4rvC+4zevxJvReKDfkTCAlhFguhFgrhPgs8N+ZmT6n7tL70s3VOUWxAsNcSMsgIqLE6JZ4jhg9Gnv1WPxq/68w2z8bs/2zw3rqo+jt8sfO5Mg0zUa3SRkFycV7eq4xMjr64pQXseCiBQD0OwFCq/Cp85xC505NuHVCsDCFZYRF93r1e/3BfUXmIny96usUvlvKFjmxjpQQwgTgRAAjZFmOveprDhk9eTSanmgK21ZcXpyzc4oswy0xUy+YI05E1Lvofu8HRo/UAOL9B95H+cByVE2viv24OLL5PqK+V3utHc5tTlQMqcDFf7qYQVSaxBodVf8G7iPu4D69aylybSjJKkX9Ddv2tmHPmj247YvbUD+yPu613OnqDDsP6j1yZURKBP7/lhBitRDi9oyeTQo4bA6sXrA6fKMJGHfduJz9oMUbAmeOOBFRzwimNJnm4L6i+zDHlJ6y4brznyJGjxwvOrDxrY1hjyso1m+CmAq18/uy/T5y4tQTYR5gBvzA4FMH5+z9PBfFWgBX/XxsfXcrdnyyAw6bI+a1FGvk02FzYOOyjdi3bh/qR9Zj9OTRhtalUgtSZHN6KiXOFHN4PUsIISYCuBXAHQCKAawAcKcsy2/Helxzc/NIAJt7+vySYb/UDteu6Ip95kFmVL+Ru7nU2xu3Y+1Da+FpCe8VKiwrhFQrYWjN0AydGRFR77S9cTtWz1kNf2f0/Twd371vTHhDe4cJuPQ/lyrn9/vV8Hv9MA8yQ9wmMLRmKN6sfhMep3ZpaVOxKWrObS7cRzr2d+DtS7qaJqHvl3qW3vVUYC6AyW+Ctz18jtKAMwbgwKoD2k8WuHYjbW/cDkedI+y5CssK0ef4PmhZ26I8tMAEv0+/bZ0L13GeG1VVVbXF6ME5kdony/JKAMFl0YUQzwCYDCBmIKU65ZRTUFpa2kNnZ1xzczOqqpS0hjd2a994XLtdwWNyUVVVFab9dhocNgfsv7HD+ZUTfQf1xbcf+jZ75pIUet0QJYLXTn6wX2LXDKIAwNvuxea/bca0304z/HyJXjfvj3hfM7XJMtyCknUlWPvgWmW+CADXLhfWPrgWx406LqrDLVRkEGWuNKNmXk3W30c++b9Pwn4Ofb/Zfu7dlenvG3uRHR5EX1P+Dj98vuiKwgf+cwAlfUvgPuyO2mcZbtF8L+9f9X5UQOZt96L1i1YASpB06g2nYvWC1brrTyXzmezNMn3dqDo6OrBmzZqEH5cTqX1CiHOFEKHDNCZA49OSQ/SGlLM9bcEoySph5paZKCgqyOl0RSKibKe3HqGqp+cVaaX3FZcXo7quOua8lUTud679Lthr7VmfFvXhnz6M2sZiS+nhOqD9OdAdHfIDhaWFUVMS1GtXi95nSX0Nb7sXqxesxtCJsUebsnmuHyUmJwIpAP0BPCSEKBNCVAC4DsCrGT6nbqmuq0ZRefiAYKwPby5a8+Ia+H1+fPjHD5kXTESUIT3dQSdZJXyn/jsoKFKaFJYRFkydPzXmgqbObc7Y60tpPUajClu2ad3ZqrmdDeeep3ed65XaB5TgK7Iqn3rtJvIaoTxtHmxZsSWpc6XckyupfW8Eyp1/CqAQwGOBdL+cJVkltO1vw9KZSwEoH97quupeM3KjliFV0znUGyCAXvMeiYiygbnSrDsqla4OujN/diaO7D2Ctr1tuPTJrrkletX5LMMtkKwStn24DU1PNumXPI8QWYUt21QMrkDr19HBFBvOPa+6rhqLbloEb0d46l2sWgDqdWj0eqquq8bi6Yt10/aCr+nVf83e1mme73JlRAqyLP9OluWTZFk+UZbleZk+n1QYdvYwAMAPF/0Qs7bMytobQzKMLNJIRETdVzOvRrNqmLnSHLN3PZUWT1+M5qea0Ty/OSwDQauaa2hDcsrjU3Dl369URgQMyubRnYvnXpxQqhillmbQpBPTJPN3UdeVqvhGBYDYo11aTAWmtH0mKT1yJpDqjY7sPQIAKD+6PMNnknqx0jmIiCh1JKuESx65BCUVJUp60nALLnvmMty97+60NNgcNgf++7f/om1vW9RCqJJVwqS5k5TgQid1SrJKGD15tOHXMw8w98TbSAm1od1vWD/ABPQb1o8N5zRQs2B87uiiEnqS/btIVgl3bLgDAHDSVScllJ5adlQZr4VehoFUhjhsDrx6jTLN6+XvvpzVOd/J6O3FNIiIssmI80fA3erGd//5XRx38XF46xdvpe217bX2qF7/0AyEYWcPg6fNgx8s/IFm9oXD5lDS+wzqcHZk7T1z63tbsWLOCkz8+UTAD1y+4HI2nNNAKwsmFnOluVt/l2JzMcZcPgZjrhhjOC0V0C+IQbmLgVQGqD0nak5769etWT+BNlF6i/O6D7t71fskIsoGnR2dAIBXfvAKPn3mU7Qfasfn//g8La8dLwPB3aqUly7tp70MiVYgFouv05e1aeLth9pxYMMBZXQw8DP1PK15eD3JYXNg56c7sdC6UHfxaC3sTO59GEhlQD7MH1LTG0ot4TdO135XrwsaiYgybf3i9VHb0vVdq9s49AP1I+shvy4DQDC4iJRMyne2pomrAW3fY/sCYCCVDg6bI6H0OqB7I0NqZ7hzqxPwaxeWMBVpn9CFv78w6del7MRAKgPyZf6QZJWC5XBD9bagkYgo07RS4zpdnXj1uld7PJiKVcbcudWJVY+uAqA/IpVML3229ux73UrFuD7H9AHAQCodYo5o6lyX3bl+9NII1ZEp8wAzzv3VuQC6rgO1tf3O795hR3Ivw0AqA/Jp/pBer09vCxqJiDLpyJ4jmtv9Xn+Pj0xJVgmTH5+MfkP7ae73ur0wFZh0A6nqumoUFBtvjhSWFGZdFTyHzYH6kfV49Wpl7vNXH30FmBhIpUPM9oQfuotFp/r11EV5z7nnHAw7R6nKPGHGBGWaQ6AGRuv23jeVI98xkMqAeOVge5Ngb0yE3hg0EhFlSqzv1HRkAZx+y+m486s7dff7/X5UDK7Q3CdZJd0gK1JZ/zJMe3ZaVhVwCEv1Cnjr7rdQ0rcE7/3hPS5I38PitidCRqviLbjbndcrH1iOguICuA640OlSUjybn2ru9VM58h0DqQxQ5w+pwVQqPtjZ6syZZ0Zt661BIxFRpugV+FH1dBbAR3/+CEvvXKo78T5eY9fonJUfLf5R1t0rtVK9/B6/UmQjohw8pV68a1/Vd3DflKzZqfd6w84ZhjJLGT7804dYOnMpzqs9D4d3HdZ8DudWJ+aY5mDuwLm8LnIcA6kMkawSjrv4OBw79thetxhvqMgvm3QuEElElC+OOv4oDDlzSNKBTHe9/8D7WPXoKs2J94DScIw1MmPk/Er6lmD7yu2oH1mPOQVzsmakx0iQylGInqN2Tpf1L4t5nF5Qk+zrqeuZlR2lvO7GpRvRtk9ZS61lews+fuTjuGueufa7sOjGRVlxHVNyGEhlkLfDi8LS6NXoewuHzYF3fvNO2DZ1uJuIuqjzK7KpcUi5Zd+6fdi6fCu+/fC3UWQuCtuXjiyADmeHbhClijUyE6tgBaC8h7HXjMWK368IVkvLlpEeo0Eq5wb3HMkq4aw7zwKg//eoGKKdWprs61mXWnHqT07FufcohSU628PbN542D+CP7lCO5HV7GWTnMAZSGdR3SF8MOH5Apk+jx+RDmXei7oospZstjUPKLWq1uG9+75uY+vTU4PZ0pY7HC6JUevcAySrFXEtq6vyp2NCwISvvKUZTyzg3uGdZhlsw4oIRqH5A++9xwb0XpPT1Dqw/gHWvrsOyXy3TPcZ1wIVx142L+7dnkJ27GEhl0LRnpuGql67K9Gn0mHwp807UHexwoFRQA6mi0iKMtY5F+dHlqLq5Km2p46YC4wv56N0DLCN0KtqOsMDn8+nfU7Y6M9rxEEwtO6ortaywJDzbhHODe97468fj+hXXR6X6lR9djhMmn4DxN4xP2Ws5bA68dsNrcO2PP7dv9YLVqH4g9ogrg+zcxUCKekw+lXknShY7HCgV1IVg1Qa8+Sgz2g+mr/R2UZ8i3UVII+ndA/Qq2o6ePBoNtzTEfM5MzzORrBIunHNh8Odpz04LNuT7DevHucFpJlklDJ4wGADQtrcNG9/ciKUzl6bs+e21dvg8PkPHqh1jpZZSzWAqG8v5k3EMpDJo4dULsfze5Zk+jR6jme5gAkZPHp2ZEyLKQuxwoFQwFZhQ0rckGEiVHVUG10FjlfBS4Ze7fonLnr4M5QPLYx4Xa2RGHUmwjLAApq60xA1LolP6ImXDPJMdn+wI/ttea8c3v/tNAMAN79/AICoNls9ejr+d9TcAQMOMBmxetjm4z+/1o+mJJjTMiB2QG5VoR5dzmxOWoRYMrhocVRCmpKIkJedEmcFAKoN2fLIDB748kOnT6DGSVcK468aF98D4gaYnmnBf4X0p+0IjymXscKBUmHjnRPy69dcoKlMKTZx151mourkqba9fXF6M8dePx8S7JuoeYyo0xR2ZkawSZm2Zhdm+2cG0RKON1kyO4jpsDvzv5f91nctWJz5d8ClK+5Vi3qh5LCKTBod3Hg5eA83zmzWPaXqyKSWvlWhHl3mAGc6vnNjZtFNpeYe0i1z7XZwXm8MYSGVQZ3tn8KbXW21YskFzArHfl9reIaJcpdfhsHrBat5YKSkOmwPLfrUML3/vZcwdOBdzB87t8YqQ9t/Yse61dWh6QqehagKuWHBFUiMzRhutmRzFtdfag/PUVH6PHx0tHSwikyZetxeFxcqIrG7xEz9S8jdIJBWvoLgA7lY3Opwdyil4/FHtIk+bB40zG7t9XpR+DKQyqLOjs1eXPwfi9xDq9RoR5ROtDgcWnKBErH5hdXCeUGgVSNd+lzIhvocb86v+ugpb3t2ivK4WP5JObzNSFS/T80y4llTmed3eYGqr3npqAFLyNzB6LZsrzSjtVxoVZGtx7Xcx0M5BDKQyyNvhRVFp7x6RitdDaLRkLlFvxoIT1F1fN32Nda+t06wCGarHGvN+YJ+8T7cyWbzFUmOJnDsFIKywRdlRZZj27LSMzkPiWlKZ5/P4goFU1XT9tNZU/Q30qkyGcre6DVX2UzHQzj0MpDLo2HHHov+o/pk+jR4Vr4cwVq8RUb7oDQUnuKhwZqm98UYaiT3RmPf7/Pjqw69014Iac8WYbj2/ZJVw2xe34c5td6KorAin/OCU4L5r7ddmvJhDdV01CorjN6ly6TOdawadNggjLxoJAJjy+BSU9NUu4pCqv4GRkVKv25vY0gAZLuVPiWMglUE3vHcDzpp5VqZPo0dJVgnmSrPu/li9RkT5orquGgVF4V/HubTuDBcVzjxvhxJIGWkk9kRj3u/zw93i1t1/3MXHdfs1Pnr4Izwy7BGc8uNTsOafa4LbE+nx7ymSVeoqEGNSUrq4llR6nffr8zD50cnBny998lLNcvqp+htojZRq8fv8hhZsVvG7M7cwkKIeVzOvRvNLZFT1KEx5fEoGzogou0hWCcPOGxa2rcicO2m/XFQ489QRqXi95AXFBXAfdvfIyGFpv1Ldfa9e/Wq3iwuZj1I65Sb9cVJYJ5zrQOYDKQAYeNJAFJYUYrZvNu7edzemPTst2EGilnLP9MhZrktk5FuvnH4q/wahVSZjmTp/quGRKX535pbcuVP3Mh2tHXj2nGdxzq/OwVjr2EyfTo9Sv7TstXYlpcQPnPTdk/D9l7+f4TMjyh6RizuqJXEB5TPksDmCnyHLcAuq66qzplHGOV6ZV9KvBP2+0S94Tbz5izdxZPcRlFSUwNPmgd/rR2n/UnS2dQZHcNSRQyD5QhCqWldtcGRSa46WWqkVQNIdaGVHKfOsVi9YDceLgQa0CXjlB6/g7bvfNvyZ6KnPkq/TF5auLlklrHpsFYrLi3Htsmu7/fz5LvL6irx+X7rsJRSWFOL7r3S1LSSrlLbvSXOlWXN01FxphmSV8PV/v8bHf/nY0HPxuzN3cEQqQzxtHuxx7AmWw+zt1F6bK/9+JVAAfPHKF5xHQRRi1393RW1TeyazPXWuN8zxymUOmwNfNn6Jre9vRf3IegDArZ/fimnPTcPt627Hj17/EQCgqKwoqnpYKnu/w0YAdHSnUuuuz5TPyNu/fLvr3hmYk2X0M9GTn6XK0ZU4blJ4CuO056bhsmcu6/ZzU/yR7yN7jsDdqp9e2tNq5tVEzZMrKC5AzbwaAMCEmyegtL/+qG0ofnfmDgZSGeLtUG5mvb38eSj1BoZAx3u2NQaJMsnj0q605tzm1G1ALLx6YVZ0SFTXVUelInI+SHroBQab3t6E8dePR8WQiuA81SO7j2g+Ryp6v1//6etYt2hdsNNMT7KVWh02B1Y9uirmMUaCwp5MQ62aXhUMWlUDxUD0H9G7i0qlS7yR79CqfZkgWSVc/tzlYamElz93eXBErPLEStxz8J641f743ZlbmNqXIZ0dnQDQ6xfkDRXrBpYtKUpEmWIZbtFcg8cy3BKzoZvK9KxkSVYJHYc70HCLMgfGMiK7Ug97M93v1d/Y0f+4/ug7qC9euPgFZYdODJOK3u9P//YpKoZUYMw0pTqfqdCkGTQlW6nVXmsPdkDGEi8o1FvnqqdSqbZ/vB3bP9ne6wtL9YTQFEzzAP2iVer1G7qOVKbESyX0uDy4YPYFaLy9UTMFlt+duYcjUhnQMKMBj415DADw2rWvdXsCbq7Q7U3SW8CRKI8cN+k43Spf8Rq62TA5ObQc9awts9gQSBPd79WvnHjuvOewdNZSeFr115VKRe+3368ETKGT6fUqsiZbqdVooBPrs+KwOXSrq6UimLT/xo6nT3867PX+8Z1/4M1Zb6J+ROZHjnOJ1sLSWh0BoQsxez2ZD6Ri+ez5z/BA+QN4/cbXUWQuUkaKTUBp/1KUVJTErPxH2YuBVJq9MOkFND3RBL9P+UZQJ+DmQzCle6MygTcYynt71uxB5YmVwRS50ApTRtaoyfTk5LL+ZTj5+yejUlRm9Dzyjd73qnmAGfAD619fr/vYkoqSlFQxU+9noYHUlMenYMKtE4IjUKZCEybcOiHpQhNGAp14QaG91q49KmeKv+ahEUf2HkHr160AugIBdS6XcxtT2RMRb2FpVUlFSfD6PfHSEzHs3GFxHpEZDpsDS25bEvzZtd+FTlcnRl00Ch2HOpS5XVk4/5XiYyCVRtsbt2OzfbPmvu5MwM0V1XXV2j0ufq7mTfkptJTvzv/uREFJAb551TfRf1T/sFEdySrFLC0NZMfk5LKjytB+sD3Tp5FXtMqdFxQXwN3qDgY4epKdrxT1PBqBFKAEU/d23ovZ/tm4t/Pebi13Ea+se2jHg16JbN3OBn9q0mL9nf5g4MglAZKj/u2MZqqElr7/9sPfxhm3ndFTp9YteteDVpuQ10luyZ8JOllAfkzW3ZeqG1o2k6wSFl69UHNfpnvTidItspSvz+PD7tW7Ya40o/1QdDASa62cbJicfHDTQTQ/pXQI+f1+mEzMU0kHNQBYeM1CwK8EFO7DbkOL1KZqjqrf50dpv1IUlfZck0I9x1evfRV+nz84l+TAxgNYMXsF7lh/BwpLCmOWyNadhxhn8r9RPq8PBYVK/zSXBEhcw4wGND3ZpDuXT0s2dCAZkejfnddJ7uCIVBq5duvf2JKdgJtr9G5YufJlSJQqWj2Ufq8fX6/6Gh3OjmAvv9pDq9e4MBWasmKhz7Uvrw3+m/NB0kuyShg0bhAufvhizNoyK6EFap1bnd2u/FhUWoR7nPfg7LvOTvo5jJCsEo46/igcf8nxmLlpJiSrhM72TpRUlOD+svtRP7IejTOjJ/GrAaPWqFZRWVHKOiH83q4RKS4JkBiHzZFwEAUA7sPu4LX758F/xtt3v90DZ9d9if7deZ3kDgZSaWQ+Vr/qTLITcHNNdV217oR6onyi1+PY4exA+cByeNo84ROuNZgKTbhiwRUZD6IcNgfe/f27wZ9bvmrBwmsWYo5pTlaUZ88HN396M87+hRLIJNoIy6V5GQc2HMDGNzdiz5o9cNgc+GTeJ2HzS/RG4pxbneHrXAX6Ls+686yUfX4GTxiME75zAgDtVETe6/Tpzl+Lw7XfhddueA0OmwMdLR3BwifZRjM1NUb/eSo6OCg9GEilkbhNaOZ4j6oe1a3c8VwiWSWcdWdXGdiyo8qyojedKN10iwRUmlFkLsKD/R7Eq9e9qjvhurC0MGyidSbZa+3obO8M35jgQqmUOrrzUWPozryMzvZOvPLDV7D+Df3CFqlWVFZkuCABgGBRI3WdqymPT4F5oBkf/PEDzB04F3MHzo2aU5WoiXdOxOS/TgaAqKAtdA5XJL05XfmkO6lsPo8PjTMblfLnxdlZtU/rephwy4SY8/743ZkbGEilWUFJ16/cXGnGlf+4EtcuuzaDZ5R+J111UvDfZ9x+RlY0BInSLVaRALXkb6y5k94OLzoOdfT0aRoSrxHEydM969DWQ3jm7GewadkmAEqjbcItExJ+nmQbs163F2v/tRb75H1JPd4oh80R/MwsuGhBYktnhBQ1evn7L6PxZ41w7XMFS2ur5bVT2XiVrBJmbp6Jb/3hW5j6tH4QpbWgcr41nrubyuba74KvM7ML8sajBvGzfbODwXxocKU1xYPfndmPgVSaOGwOOOocYQ2fTldnjEf0Xnsce4K9pU1PNOXdDYMIiOihBACT0rPqdcdfdDTUI8MfyfhnyEgjiJOne45rvwvbV26H+7A7uG34OcMTblQm25jVWkcq1SKLSLTuaE141E29BuXXZfg8Pt3jkm28/vvH/8aCixaEbTOZTPjwTx9iw5INmo9hdT+FXlXGROePZ3MgpUUNru7tvFe3yia/O7MbA6k0sdfa4W0PbyDl45elw+ZA4x2NwbSftn1tedn7RgQoN9FRk0Ypa0Qlmdrf8lVLxj9DRuZ9cPJ0z+loVTroSipKgtvstfbEgvJurKWkV/48lTTT+BL8zKjXoLcj/u8lmcZr+6F2Zb5WCIfNAU+bB5/Uf6KZtsfqfgq1Y6nUEr7Mg9GKxsV9ilHStwTv/PadnEyPdLzk0L2e+d2Z3RhIpQm/LBXsfSMK9/kLn8fsHTci058hySrBXKlfTAdIzYKnpE1tvIeuNZbQvcUETLhlQtJp1ukIpLp7rwwt9GBklCOZxmto1T6gaxRNDQa00vZY3a+LZJUw/PzhCT/OVGiCz+NTRmRzMD3SYXPgjelvaO5jgZLsx0AqTfhlqdANKBPJdSfqRbobRKky3Slz6o2nZvT185XD5sBrN7wGAPjn5f8MNh4TubdMuGVCtwseVQypQEnfkvgHJqm798oic9caV0VlRSgo0m/+JNt49XX6wp7XSMchq/uF2/7h9oSOLyovQln/sqjR10x3LiVCr2hKtixtQbExkEqT6rpqFJax7LfuzTBQUYko3xQU638NJzI/INOdMkMnDo25X6tRw2pl3aOOeLj2KSW/D399ONgTrzfnRIve/B2jyvQANvcAACAASURBVCvL8fMdP8epN/RcMJ1o+ehIapnshhkN8HZ44ev0BR9f3Kc4OJpmKjRh3HXjkmq8hi7IC8TuOFSveQCYOn9q8L2ZK8153Xh2HTS+BhoAFBQW6K6blunOJaP0ztPv8+ftdZBLGEiliWSVINVKwdSLWKVQezPdsrx+7YYWUW8X2cGiMhWajM8PyIJOmXgja5GNBVYr675YIx5a5Zb15EKDM5ny0ZF8Hh+anmhSgiggOCfFc8QTTE/0e/1YvWB1Utfh8ZccjxNqTgj+HLNzI+SaB4CTv38yAODcX5+bd+2CUIl2CKlriKXiuTJF7zz7HN0nzWdCyWAglUZDa4Zi3PXjUGopxawts/Lyy1KySrpferlwMydKJYfNAc/hiJQOE1DSt8RwEAUg6R70VPJ6lNSasv5lmvsjGwucL9l98ebeRpZb1gumLMO61+Bs29eGF6e8iC/f/LJbzxOPbvnoiGsr3ny9eJK9Ds/79Xk4955zgz8bGRVUX+vg1oMAgLd/+XZej85WDKlIyfNkQ+eSUXrXyck/ODkDZ0OJYiCVZp42T0I9aL2R7s08R3qPiFLFXmuP7ljwI6yMtRHdTc1KBXVE6oLZFxia88ECPN2X6NxbvQbbeb87r1vn4XF5sGHJBrRsb+nW8yRDskq4aeVNwZ+LK4p1U70SkYrrUB1F6zu4b+zX2urEtve2KT/k+ehsYUlhzPlrRuTa3CL1OonsAEj0PkCZwUAqzcZax6L6wdzoJekpnFxLpIxGparISjYEHwNOGIDxN47H2GvGRqVgaTVqWICn+xL9Lo1MjyvtX4qSihK8Mf2Nbo2CBKv2mXqual8sm97eFPy3p9WT9FICoZK5Dp8+42n868p/hW2TrBIuf/7ymI/TSuPN19FZzxEPBn5zYLc6nHN1bpHnSPgI/WfPfYa5A+fmZUCdS4riH0KpNPLCkZk+hYxTv+DstXY4tzlhGW5BdV11Tn7xESWjYUYDmp5sStnzmQpMcNgcafsMOWwOzc/v8HOV0sWSVcLoKaPx3HnPYeJdEzXPq7quOmyBVYAdKolSf68NtzWgw9mh/C0eiP1dKlklSFYpWO1PHUl0bnUGq/9hTIInEogBerL8uR6HzYGGGQ2GjjUVmmAymbrmSOlI9jr0dng1F1Xd+d+dMR+nl8abDR0k6eY+7MYxpxyDc+8+FwuvXpjUc5gHdC+1MxPstXZ0tndGbXftdwXn0bGNlJ04IpVm++R9OLDxQKZPI+Mkq4SZm2fi7v13Y8baGfyCoLzRMKMBTU80Jd9rrtFW9Xv9aUsF0isS8bnt87DjSvqWYM/aPTi46aDm86ijIxVDKmKOXFFsklXCGbefAVOBCbO2Gp972zizMapAiM/jQ+PMxoTPIR3rSOnRKx0dyVRgwhULrsAZt58R87jygeVJX4eRVfsA5fPy7n3vxj43neqc3R2dzcWqmO4jbpT0LYFklXSnAZgrzTErNrpb3TnxXkPFCprzdXQyVzCQSrPFP1mMxT9dnOnTyAqtO1oxd8BcOF7MrS88omQ5bI7uj0T5tRte6brZ6hWJaLyjEfcV3od2ZzsAYO2/1sJkMuG9+97TbcRZRlpgGWHBjLUz8rYATyr4vL6ESuUDSk93IttjKSgqQKWoRKmlNP7BKWZo1MYEXPHCFZCsEgadOggA8O2/fBv9hvVT9hcAx44/Fvc478Fde+5KfmHiiAV5gcBIgyt6pCHycalOd8/FqpgOmwPtB9vx2fOfoX5kPUZPHq35e6mZV4MJt0zQDaa8bm/OBR7xguZ8HJ3MFQyk0ozFJrpssit57d3NzyfKFZrFJSIUlmiXQ1dZRlg004eA9Nxs9V6j/WA7/D4/vlj4RbARp56nXiOubV8btq/crozQUdIGnDAAx198fMZe3zLcgtvX3Y4x0xLNCUzNa8dkUhYcVoOjorIiDBwzEOOuGYc7t92JorIiTPz5RNzy6S0o7VfarXlePq8vqlCCkXmQlhEW9BnUVeq6YmhFt0dnc60qpvqdoRZYcG51YvWC1Rh33TjN+ZZTHp+iBFM6ci3wqK6rjrmmIOeOZi/OkUozj4uBFKB8aS6ZsST4c+h6GuyVpt7KyM29pKIEPq8PHYc6ovapvdT2WrtmAy0dN1vLcEvMxmHDLQ0oqSiJub6RavM7mwEAqx5dBfl1mXMlk3TaTafhtJtOS+gx5kqz5uhTd0uHp1t1XXXMuTRX/v1KvP/A+7BNsWHv2r3BeX0b39wIySqhsKwQTU80YeXDK5URDr/SYE/mWhx79diodLR468Gpn+kP534Y3Na6ozUY8CT7eci1qph6gd+GJRswa8sszcfEqlaai4GHX6eXjXNHsxtHpNKMI1KKXOstI0oFIzd3134XfO7oyfDmSnOwNzaTlS+r66pRZNbvg/O6vbrpYaGNOIfNgeYnm7v2bXVi4TULMceUO/M5clnNvBrN0U91YdhEHNpyCM+d/1wwME4nySrpBn9qULP3i734csmXUWluDTMa4G33dlVLC7Rjk02Du+DeCzD+uvFh22IFUWX9y4Kf6cN7DnfNMUtBKl6uVcVMJvCLtS/XAg97rR1+T/S1kmul3PNRzgRSQogfCyH+J4TYIIS4LdPnkyiHzQH7pUov8hf//iLvGwm51ltGlApGFug0FZo0J8+rE7CBrkIN5QPLAQB9B/c1fLPt7gR0ySrhorqLEnqMKrQRZ6+1w+v2hh/QzYZsvlrx+xV4YuwTCT1Gsko49aZTo+aZrF6wGtsbtyf0XO4jbmx7fxva9rcl9LhUqZlXE/W5KiwrxOjJo5VMB41YxtPmQfNTzZqV0tT9iXbsdbZ3RlUE1CuYAADth9phr7XDYXOgbW9bVMpudzoXc22ZkWQCP7195kpzzgUeem2fXC3lnk9yIpASQnwDQB2AcwGMBzBdCPHNzJ6VcQ0zGrDwmoVw7VJ6ad2H3XnfSMi13jKiVAhbxweIasQWlxcbLoUsWSVc9c+rAADf/ed3DQdRqZiAflz1cTH3myvNcRtx8TpNOEJtXNu+NrTuaE34cRuWbIgKMjxtHsiPyQk9T6bXkQp+rkLuHxf94SJsWLIhZkU/vbmGqkQ79upH1qPhtvBS7PE6T9TPYKpLoKu/k5KKEgBAn2P6ZPXIhtZId7zATy9YrJlX0yPn2JN020TD2CbKdjkRSAGYBOAdWZYPyLJ8BMArAL6b4XMyJFilS+NmlUyZ2d4i13rLiFJFskqYtWUWZvtn48q/Xxk1kVqvB1vrRlvWvwyA0rNtRKpSaj0u/cZpYUkhaubVhI2YVXwjevK8kU4TjlAb4/dFV4szQu/369qdYOW+DK4jpZKsEmZt7ZpLM+7acd2+fhLt2PN7/VHlz6M6TzR42jy6Fei607koWSWcc/c5AIAje44ER7+ykWSV8J367wR/NrIcQuQC07m8hIJmwG1SPqNMdc5uuVJsYgiA0BXtdgKIvRhElohVpcu135XWRTSzifqel92zDC07WrgoL+WVdYvWYf0b63Vv+kYXqq0YUoHxN4xH38F9Db2uXpGIRBucQ88ciol3TcTKP69EcXlxcI6JqcCEU286Nfiedn66Eyv/vBKtX0dPntdakDcSR6iN8Xl9SQUxeoVDzMcmVnAik+tIhQptbD59+tMwD9AuqGGE0Y690MWpYYLmOpHqNb/oxkXR6awqv/KaqVyg2mFz4IMHPwj+nO1FncZcMQZv3PwGav5agzNuM9bEUxeYznXqewgWEgoUPgGy/++W70x+f7KrQqaPEKIWQJksy78L/PxTAFWyLN8S63HNzc0jAWy22Ww4fPhwz5+ohvVPr4+5v7hPMUb9eFSazib77P14Lw797xBG3zg606dClDb7/rMPB1cfxOifaF/3LV+2YP+q/fAc8aC4TzEqz6hEvxP6des1W75swa7luzT3Jfo91PJlC/at2ofOI9HzSwoKC3DM+ccAAHa/uzssfUrdp76XPR/sgXOdE3r3IctJFhx77rGGzytf7X5vN458dQTHWWOnXEZq+bIFe97bA5+3a15P5N/ICPchN3Yt34Wjzzoa5sGZqfqn9V5MJpPutRVPYWkhjj776Ji/B73XPPbCY8Mep3WcFssYC1rWt8Dv86fkc7/5xc1dhTRCZGu7w+f2Ye8ne1FxfAXKh5Rn+nQyJtf+br1F3759YbVaAWBUVVXVFqOPy5URqe0Azgv5eRCAr40++MEHH0RpafoXCgSA+rfqY68j0QbMnj87fSeUZd67/z0s/91y/Pavv427fk6+am5uRlVVVaZPg1LorV++hf/I/0Ht/NpuPY/D5oD9N3Y4v3JqjuqGXjv1I+vhhMZ3kQm48qkrDfd0OmwOLPr7InjbdXrWvYBlkzKS5PQ5NffNekdJwfp43sd4c9abKO5TrN1w2FqMqbW5maqTTv95/D/Y9dkuTJ0/NeHHOmwOvHHrG3C3uoNlv91j3Dn3nVM/sh5Ob8T15ldGyeLNhdLUARR/UoypN+lff3qvGXqN6x6noWxXGUZOG4n96/djxpoZiZ9zhDl/m6O9o4faHbxXpUa6/26Zli3XTUdHB9asWZPw43JljtQyANVCiKOFEOUArgKwNMPnZEi8iab5nroSnOPhNDbHg6g38HZ4UVTavX6sYOGIbcYKR+im7/kTSxex19r1g6iQ1zJSmXPHJzsAQDOIAlhwwqjTZ5yeVBAFKH/7s+48CzABP9v4s6hrobtVHtMlVtWzWEyFJsAEzTlm8a4/o9VnjabOth9qx6a3N+HQ1kOGjo8n14o6+f3+pEcQe5Nc+7vlu5wIpGRZ3gGgFsByAJ8BeFGW5VWZPStj1MmQWutcsLhCVyD11Pinsv5GTZQqXrcXhaXdG4FNtHBErFLBiTDSKLQMtxhqDHzZ+GX814s1ok8pYR5gBvxAhzN8EWijVR53O3bjqVOfwrYPt6XztMPoXW+xinAUlxfjigVXYLZvtn7VvBjXn9EGbyINYPdhNzyHPZg7cG6374XVddWalUGztd3h3OrEfQX34bPnP8v0qWRUMhUMKXNyIpACAFmWX5Rl+RRZlk+UZXlups8nEZJVwt377sb4P4zvFdVlUunzFz8HALR+3ZqSRQiJslVoz77jRUdSVdZCJboWW3VdNQqKo7/y3a3uhD5v8RqF6g3fSGVOQ9UGTeD3QRyv//R1PH3G00k/3jxACaZdB5TCDNsbt6N+ZD0WXr3QULDuPuzGrs92wX3YnfQ5dJfe9VY1vUozKyR0gWtAP+CK9TmtrquOSkkvLCmMavAaWT8ukmu/q9v3Qskqoc+xfZTXzoF2hzqHLNNFSzJNskqY+nTXCHO2/93yXa7MkeoVhtYMxbTfTsv0aWQNh82BjUs3Rm1Xb9T80qDeQu3ZVxul7lY3/F5/t6p26lVc0wt0JKuExpmNUVXMvG5vQp+36rpqvHbDa/B5tCfOqz2p/5+9M49vos7//2uSNm16BSj3UUCE4DFWLZ7senUVa8Ui+3WvoKzoj1XYr+DqskdXWXRRF10FD3T9eixK9tItIJSqGGXFE1u0DCARue+jQg+aNufvj3SmOeYzM0kmyUzyeT4ePiTJdDJJPvP5fN7X6x2mQrVPvIbLXKpAVS0AOh/I4G53o7utW/5AAvs+2gfGyOCZsc8E09wMDDFCA0Qb61pQ7ZMab2UTyyTHIQDi55X6HgBEpaL5vNFpr5HXRlLyjUSNtdBgNGDIhUMwpGIILp17KfqM6hP3uZIN/10n6mTKBM6znYeDGw+ibGIZzvnROem+HIoE1JCipA0paXjaP4aSSUil4cW7SRKTD5dL/+AjDpHEcr+xNhafLv4UhxsPi77Oe9L5Y7/46xdoP9iO1n2tURLoVUuqUHdrnezGks4H0gR8gbiNmPpZ9dj04qaQk8kbD3wES/iTNDfk5SFJYSuRyLaMJDgmJPo/OWod0Q4Fv7jhH3oNi0fJiFCFkOjYr3m1Bptf34zPl3yOz5/+XNOtRviIVGQvrmxFj42FsxE6WilpQ3IhCYDWS1EyhljT8JQg1F/2D25qlaR/qFXE3Hm8U/J13kisn1WP/Rv2w+/1C6m7ddPqhPoP1sZiwl0TiM1I472+bCPgj24Eq5SmF5ti/puodFANNORNlHiaxBPvaxkjSax2iUSiY7/zWCe2vbEt+EDj6fM0IhVOIBCAtzu6xQRFW1BDipI25CZLLU/4FEosJEuFibWxmHd8HuYH5mPunrmyXmY1is85O6fIm966txWNLzSKvsZHrd740RvY88GeoDFFgBZZyxNvQ15APvokBp8OypNnycOoq0chv29+XNegBcSEoSIL/iORun/rZ9VLvpfUmBdggLE3yPdYJCkrNr/ejBW3rYC3K3wzrlU1THOpGZfeeylKx5Wm+1LSDmfn8EjhI1iYv5A6lTUONaQoaUPJAu7p9KBhTkMKroZCSR5i3m7GwKhiIAT8AXS2dAajPiFwdg6OGx1hmyvWxsJUZIKpyBRX8Tlf66UExshIpux5Oj349u1vcXL3SXz1qrhKFy2yVsboa0bDWmON62/j9f6HRmMGlw/G9PenY8gFQ+I6l5bwunqNDjnBB6nIUuMLjZKb3+ql1Zhwt0w0NgA0L2uWPA9JWbF+Vj3W/GINUf5di+myxUOKMenJSRhcPjjdl5JW+N+UH4vUqaxtaI0UJW2QctIjcbW4EirKp1DSTWSxuTHXiFJrqSpjeu3stcHIDwOh/gFAWP0UvxADwHnTzsOwi4fh/J+fH/N7idV6iZFbkKvoOHe7O+jOE9etoCjkknsuiftvK2ZWoPF58cihFJmYbkmqZWyY00CsvaqbVid+MgUiKdVLq8OEMMREPuRqKUnX3PRik6SzUou/n9/nh6fTg1xzLgw52evnT0ZNLSV5ZO9IpaSdWCRhtZiGQKHEAmtjceMLN+J7v/0eSoaXqKKexdk5fPnql8EHId7ohjkNogvxiukrUDaxDOXTy7H0nKX45IlPYno/KS+2udQcFuWSKtLnMeYZJY0o6olNPkJkJEZCo6l7N+zF02c+jcObxAVI9AJpfPPOPDGKhhbFfL5QWBuLuXvmBntZxRE9IjYiljCitJoue6jxEB4reQw710Wr+WYT8dbeUdIDNaQoaYPPSVey4dJiGgKFEivbV27HR49+hJO7TqJoMHkDphRHrQO+7nC5ZU+nhygpHvAFsHrmamz5+xa0HWxD6/7Y7itirddIC+admIf5/t5aLaWOErnUMrXqOUh1JJnA8uuX429X/i3uv69eWh1Tip+51BzmGfec9uDkzpPwuaOlv/WEVJSGNAbP/p+z4zpfLMdLnSfWRsSMkdFsuqwgNqFj0RI1IP7etKeeJqGGFCWt8BsuJld64tRiGgKFEist37YI/9757s6EF8V4HAyeTg/qZ9cjv08+uk/F1nsoFmUzseL9SHzdPpRdUSZrcCXqSCHVkWTKpsTn9hGjGUqJRXTC1eIKM0a10EdKDeJR6Bt+yfDgPxIUceHfP1blQKlGxMa88GbBhhwDbl52syaNKIDKn/MQa+8CNDtHi2T3aKVoAketAwGP/tIQKJRY4Owc9q7fKzxWYzNPcjCYS80w5JKn9+7WbrQfakfza80xRWdYGxsWvZATg+DFLYjXP9KCn7//c9nIdKKOFKmag0wg4I+/jxSPksyAUELHr2DE6duOAmtjiYY/aQz6PMEo3KQnJwW/wzhEXELff/KLk1E4sBAAUDioUPY8/N+EkmPOQdnEMlQ9XYXCQYUAA5iKTDDmGTVrRAEhBnmWy5+zNpb22NQR1JCipB25iUGraQgUSiw4ah3EQvJ4IXmjq5ZUIa8kT/Jv+UaisRp05dPL8aD3QcWS61L3N+8g4etEpi6fGrNHnkcqdS8Zfby0RMAXSHjzKSqzHXJKMWlzfvwGApkRkQKCTVBjGYN8OuPZt5wt1DopuS9IsDYWt753a/BanqlSfp6Qr55XGzQVmnD/kfsx9fWpYIwMPKc9WDxSu2mtNLWvF5Jjg2bnaA9qSFHSjmT+90gLNaIoGUEym/KKecJd34nXSYmh1KCLp85I6v5edccqPD32aeEx/3kKBhQAAIqGFClypMil7iWrj5dWSKQhLxD8/pqXNYc/yQATftErQtF1skv0b1v3taJoUBGsN1mR30e/faR4SPcUANGxzxtSRpOReM5Y2ffRPgDAmz96U9F95qh1REUwPJ0evPvrd1E/ux6rZ65Gd2swjbd1n3bTWvuM6oMrHrxCFSEevRNPmiclPVBDipJ2KhdWiqYhGXINdNKgZAzENLx+5BoiJbA2FjMbZ+Lax6+Fu8ONuml1WMAsAMPE5tWVM+jirTOSEp3wdftwcufJsHOwNha3/PsWAMBU+1RFjhSSSiFvHGb6puSsH54Vdx8pgCBrHwB2NOzofUwYTpYyC4ZdPAw/WfUT9BvTL+5r0BKsjcWcXXPwm+9+gzm75wAAcexfeOeF+PWJX6OgtECV9+bsHNbdv054rOQ+I927HYc70Li0UTdprX3P6IurF1yNPiOpIcUb9HxmgaWM9tTTKnEbUlardbaaF0LJXlgbiymvToHBFD4c/R4/HLUOTXrOKJRYITkM3O3uhMY4Z+fwl6F/wbr714Wp9YmJDxjzjDDmi3vO5aIz8dYZ8RsCYuqZSAE1H9noOiUeBQmFs3NElUJ+gylEGcqiI3eZoOZ32a8uw8W/vDjuv5eSWxZ+N7GaDUZaoEHPfPKXT/Dnvn+G57RHcuzn5OWgoLRAtXS0eO4zkjMmJ5/cKlSLaa3eLi/aD7ULdWfZDmtj8f0/fB8AcPeWu6kRpVESiUhdY7VaJ/EPrFZrkdVqJXSmo1Dkyc3v8RiHrEeZpq5FyV5YGxulogUEU4Pi9Q7zUSK+3kmOMZPGoOalmriiM4mkJrI2VlJVLvIceZagF1aJIaV0g8naWNz5+Z24/NeX4yerfiIYUZmg5uft9ia0+ZSSW5ZU8wsEv1fnaieeGPQETmw/Efc1aA1+7HS2dEqO/V3v7cJ7v3svYdXE0HPG8rwUfr+f6MDQYlrrznU78eSwJ3F089F0X4pmKBwQFB7pPN6Z5iuhkEjEkLoNwANWq/Ucq9V6FoANAFaoc1mUbILfzHS39Ugxi+R6azENgUKJFU+HR/T5eL3DoilZEux8eyf8fj9ufPFGmEp61fRyzGTPNU+idUax9MLJ75MfVC5TsDeV+u66TnYJRtFXy77C4lGL8cmiT/Ba5Wvg7FzGqPm9dMlLeOOWN+L+e9H0Sway37+51IzFoxbjnzX/xOljp+F8yxn3NWiN41uOAwCWjF5CjDZZyizY++FefPzYx6opFsZzn5HqIf1uf9AQVkGaPRVQsYlojm05BgB4+syndRsxz3RiNqSsVuvTVqt1BgArgDsAvA7ADuA2p9P5usrXR8kClGwGtZiGQKHECinVJl7vcKz3hc/tw8rbVmL/J/vDoli8ypfUIp1onREptZExMlHn+Hbtt8gx5+CtO9+S3TxIfXcBf7ABcf2setTfXS80L+Y/b+vezFDzC/gSkz+PFFgwDzbLGlGGXAPc7W4hmgcA6+evz4iNHmfn8MXzXwQfBMSjcvzY93l8MJqMMdckkojnPpOdPwIQjClzqVmztTa0j1Q4nJ3DF0t7x6FeI+aZTjyj9R0AgwDMA/AGgFEAjgCotlqtN6p3aZRsQcmmRYtpCBRKrFhGWaI2vIl4h+O9Lza/vhlelzfsOblIDGtjUT69XNiQMUYG5dPLFW/I+FrI0D495lJzVIPQWNPtiM0rQz5X04tNop9XT2lPUiSq2gf0StDP989H5ZpKyb5Sxjwj8kryBMU6Hm+XV3fRPDEctQ7B6BYjtMbO5/ZJ9myLFd6o5fuvKelJJXcPABCMqfNvP1+TRhQQEpHK8j5SPI5aR8zzNCX1yN79Vqv1IqvVej7/2Ol01judzkedTudPnE7neQCGAHgAwDEA2osVUzSP3KZFq2kIFEqsFPQrQOn40oQbd/JIKeJJ4W53iz7fureVaLAIEtk9zvmAL4DmZc0xeUdZG4t5J+bhZ2t/htvevw3zTsyL+uyxptuxNhYT7pog+hoPqc4n4AtEpzUyhJ5KGsbv86ueDkWKjAy+cDD6j+9PTCfTWzRPDLnPENonyu/xqyp9DgTH9MX3XAzGyGDO7jmy8wPfwJWvLSQSAFGYRQvwdWY0IhUk0/vfZQryifHAYwC+APAV/4TVar0VwDQEjafHnE5nE4CmpFwhJeOpXFiJ1TNXh2+eevLzLSMtqFxYqVkPGoUSC36vH33K+sDWYFPlfPx94ah1oHVfK4x5Rvi6ElO8Wj1zddi5eaQMnFjvz7FVQUPl5cteRuHAQvxk1U+E1+LZPFQvrcZXr30F72mv6OuMkSEaUyXDS/Ddju96nwgAzcuaUTaxTDfzTsCfeEPeSCLHlqXMgrE3jMVm+2a428QNcUB/0TwxLGUWYtpnJD63D8ZcdQ0pADi19xQCvgAeMj4ES5n0OsgbIJfeeykaX2jE6SOnRY8z5Bpi6i+XagafPxjXPn5tsD6SQhyHmXCPZRJKDKlzAfyBf2C1WssBvApgF4CzAEy2Wq3nO53OPUm5QkrGI7ZgX/XHq5DfJx8Dzx2IfmdmRm8SCuWOT+9QTd2Lh7WxOOfH5+DwpsP421V/S/h8JONILe8oZ+ew7jfr0H6oHYYcAwaeOzDs9Xg3D0QDkgEqZlag8flG0ZfDjKge4jUQ00XFLypQMrxE9fOyNlb4Djg7h5W3r5RUiMyU7IGxN4wljhegx3jqiUJVL61G1dNVqr4/Z+ew9V9bgw960ltXzVgFINrBAfTWFh3bcoxoRAFAvzP7aToi1X98f/Qf3z/dl6EZxJzMmXKPZRJK4qclAA6GPJ4GYDuCYhNnAPgYwG/VvzRKNhGanz93z1yMmzwO/7r5X9ixdof8H1MoOoExMDDkqJ+24un04KVLXorKp48XMeOI1KsmFu8omsBAuwAAIABJREFUX//UfrAdCATToo5uPhqWHkhKV3S1uCR7PREN1EBwsxsrekqfufy+y3Huj89N6ns4ah2yMvtK1B/1AGndKRhQgPuO3BeWyscYGNVT+xrmNCDgDR/PPrcPDXMaRI/3e4O/i3MVWTUxtzAXbfvbsO+jfZpVf+s61YWWb1poH6ke+Ho5XqQo0VRwSnJQsqLvBzAs5PE1AN50Op0Bp9PpBbAIwNXJuDhK9pJvUd6Qk0LRCx/M/wCbXt6k+nlNxSYwRgZ5JTI1EgqJNI44O9fbniAEo8kYk3dULD0w4AuE1T8JohYRuDvckuITUgbdov6LwkQulKCn9JnOls7g95NElBiWStQf9QDps3Ye78RLl7wUZtA3/V8TPvzTh6q+PylqRHqeYRjkFOQQDV1DrgF+j18YI1pVf9v25jY8a30WHUc60n0pmoKKb2gbJYbUuwB+DQBWq/UMAOUA1oW8vhvACPUvjZLNGHIMMBWZ4DoZvnBwdg6LRy2W9ExTKFqFs3PY8/4e1c/LMAzy++QLIhaJEmkckaIRpmJTTN5RpemBcpHoSPGJgD+A4qHFog2PgeAGNJbaEL2lz7xQ/gLenvt2Ut9DqWGZCapiUp81Uk2y6cWm3jS8NJGTnyMZjRZTWNTi70Tlz8PhI/ie00Hnk1YN4GxHyWh9BMBEq9V6EMDnAPYC+CTk9SEA2pNwbZQshrNz8Lg8+Hzx54LBVD+rHnW31imWRaZQtIbf61dVKpmHs3Pobu3GMe6Y6OuGXIPi9KPcwlzF9VGxFq4rbTaqJPrRui+oMLio/yI8ZHwIBz49IF1/xr+kwNDUW/pMon2klEDqAyaGntIixVCqhunp9OD41uOqp/ZJRU9J6x3R+GPIkSyt/U5U/jycTGkYnunIzopOp/MQgIsA/BPAWwCmOp3O0NWqEsA3ybk8SjbCe2H4SbV1bytW3r4yWPwbsU9K1aRCI2EUNfB7/KrXSPH3C18ngQDCZnbLSAumvDoFNa/UoKB/AQCgaEgR8XxizbGVGkByKG02quS85n5mrLx9ZdgmUa6GBwBueukmyd/AMtKiKyMK6JE/T/LmU6wPGMl401NapBh8bUrhoKB6XG4x2ajyuryqO0eqlpDFK8TWu44jHeg4RkiHC5ANE8bApHRNk1tHqfx5OFT+XB8oGq1Op3Of0+m8z+l03uF0OpsjXj4LwJvqXxolWxHzwkhtkJI9qcTaIJRCIZGMiJTY/QKR24W1sZi0eBIA4Ofrf05suCq2CVZqAMnBb1BLRgQV5hgjIzhDlAhOhL43oMxwiqT8tnIMv3Q4+p/VP/o9mOi0Rj0Q8CXekFcJfB+wqcunwjLSEtz4RuzR9ZYWSYK1sZi1dRZGXjUSno5o5wKPMc+YlD5SJMTWO5/HB5+LLNAQ8AVE76eAL5CyNU3JOsqn9iU7uqoX1HJgUZJLwjOv0+m81el0LlHjYigUIHbDKNmTCg2vU9TCaDIKCkxqIXe/hG5YVkxbIVwHyVhxd7ijNlS8AaRGI2HWxuIHj/4AuQW5YVHn0E0V/378BjU0ClI0pAiTX5wcXz8cJlh/ObpyNKw3WYOKWLzSXE/vukijTg8E/MlP7eMJ2xADYVkCJSNKdJcWKcXOt3di73/3RmVC8OQW5KLvmL5xNcWWg+ToEFPP5KPRpJRA/n7lI2xiYyXZa5qSdXT0NaNR/UI1cgvV/z71iFoOLEpyofFTiuaIyTBKgQeZhtcpanHv/ntx/VPXq3pOJfdL5IbFkGsQjJXIzRdJeY3fHH/vt9/D3D1zE9osO34vv6libSzGTBqDwecPxrwT84Tnb/n3LWBtbFwOFMbAgLNzuOqPV+EHj/0ArI1Fn9F9ghvLns2yHiPOVzx4BcZNHpeS9xKNgAIwFZlw7757M8aIAnrS6CTK7ia/OBmzt87GtLenqf7epJo0d3u0o4M3pM655Rzixpu1sZj+wXQA5FYByVzTlKyjg9hBmPCLCcjJywwZ/UTh5+ji4cUAgPx++RnlqMgUqCFF0RyxFDVPuGtCUicVzs5lbB0AJTNQ6kho3dsq1Eq8fNnL4OwcWBsLU5Ep6liSd7rzeKcqPV5a98tvqjg7h93v78aRr45g8ajFwvN8SwTSPGE0GTHh7gmiHv2AL4CVt6/Eov6LhDqNFmdL1MZSbxHny+69DGOuHZOS9yJtiN0dbgQC6jabTjdijaF5kl1Lx9pY0XYGPrcvamzykd2RV47E5BcnC7WQeSV5YRvvwoGFGH7ZcBQMKBB9z2SuaUrS1NoPt+NQ0yHVm5brGdbGYs6uOQCAS+dcSo0oDUINKYrmYG2sopxzc6k5rkabSokUvQhFLLxOBSkocqy4dQW2vblN1XOyNlZZjySmd8PVtr9NiLrEEnH1uX2q1IPIbarEZH95o+mb+m+weNRi1N1aF2UEmkvNqHmlBtVLqzF3z1zRjajf4w8KVPTUaYjd34C+Is4nd5+ML9UxDqQ222K9xvQKZ+fICo8hmRDr5q3Dxuc2JuUaiGp7EQaeqdiE82ecj75n9AVrYzG2eiwA4PJfXx628d759k60H2pH5/HOlNe2KUlT++rVr/B/E/6PNuSNwJhrRJ4lD50nOsOep3sObUANKYom4TdQUiR740BKYWGMTFR4nQpSUOQIBALYvHwzjnJHVT931ZIq6TqNnvqfUPioi9KC5oA/AL/Xr4ohJbZhC91UkQRnTMUmNC9rFu6zrpNdYYpkt2+4XbgvSU2ElaKniPOz1mfx8eMfp+S9pIRAMkkkQCqtb+B5A8HaWHB2Dp899RkaftmQlI0sUW0v4vmSYSWoebkGwy4eBgBC3V9orZFUbRsYoHx6edIjbJNfnCxEw8TqLGkfKXE4OwfPaQ82PrORtoPRIHS0UnRLsjc6JI90wB+IWnCoIAVFDj7yYcxVV+ELiBaDMJeag1GqHmEI0oawdV+r4oJm3kustkIZELze0E0VMX2s3R3VeDQ0ouTucAv/TuTe01tBd8CfGtU+IDjWyqeXi0Zrlp6zNGM2clIRyWPNx7Co/yKsmrFKqE9KxkaWFC0lPc9zau8pAMC7v3pX2HiTHIPBEwLNy5qT/tuVXVGGqmeqMO+7eaJ1lrSPVDSR7S1a97ai7ra6tLaDoYRDK/oomsRcaiamNfDw6mLJ8qJZyiyiOfJiBhwVpKDIwRsiaveR4mFtbNS90NTUhIqKCiwetZg4lvm/WfnzlfB7/bCMtAjF6ZGcP+N8DC4fnNB18huDUCKNI9K9J0eoImIs957RbERBvwK0H2yHuZ8ZVU9X6aoWIRUNeXk4O4fmZc2ixjmfMgpIS3jrAbkxKLY+8RtZtT67ZSRhDYqo/zvw2QG8MvEV/Gztz+A64cIexx7hNd7AIxpRSbr2SDg7h4a5DXCdcMFcasakJyeh/LbysGP8Pj/AAAxDDSkepe0teOieI/XQiBRFk1QtqZL1fJPUxdSClMIy9oaxUc/Rfg8UOXiPotp9pJQgF3VibSyGXTIMo64eRVTky8nLQc3LNaLjPxaURG/l+kiRsF9vF+aDWO4962Qr7vn2HgDAZfddpnkjIKw2YmRQiCNVXnzJyAYyxyse7xhUcyOrNFrs9/qFqKSj1gGfO7zGyNPpUTQ+4nFeKIF3nrhOBI1PV4sLa+5aE92QN0X90PSE1trBUKKhI5aiSVgbi5pXasL61ogZVslctIUUlggaX2hE/az6sOcqF1b29qPpQW/pQZTkEvAFUDioEHnF0QIIyUZJH6iaV2sw5W9Tkn4tSqK3pHtPjvZD7YJzhaTqN+HuCYKccG5xcJO67d/b8Oz4Z2EwGaIKurVGVD1mz/d2bMuxlLy/ko1dJnjFpVIYpVBzI6tU/lpw0uQYyCnphKa8YTBIimNSzPj2urxYMX1F2Pud8+NzMOW15M9BekJr7WAo0VBDiqJZWBuLe769B+zPWFz7+LVRXjaeZC7aO9buiH4yEDSmQhcA1sbi6oevFh4n0rCUkpnk98nH/UfuR8XMirS8P2tjMXfPXMz3zxeNOh3aeAivXvEqUQHq1N5TeCjnITS/1pzQdSiN3oreewoIda6IpQiVTSzDr/b/ClOXT0XA05uf1rq3FX6PHwc3HozrfVMFKSK0/6P9KXl/JRu7TPGK71i7Q7KPVCTJcJ6xNhZzd8/FnZ/fif/95n9F15RQQ4p4f/WsSXkWCUdOILHaQhJSxl1oVsng8sFgf0rXzFBiiYwmux0MRRxqSFE0DWNksO3NbTjUeIg4mSRz0SYaaSELDp9ms+7X68L+zlHryJjCa0pmUz+rHnXTpBWgfG5fsBYnwRQypelKiThI+PtPzPnCe8Edv3fA2xVem4UAsP/j/ZqWEiZ9Lx1HO1Ly/nIbu0yKxCsZg3xtWjKdZ4YcA4ZdPAwFpeL9n3hDijEykvcXa2Mx5W9TcPb/nE18r2Q4JqXW6FDHR8uOFuz7aJ/q769n+KikqTi6358AE4y0J7MdDIUMNaQomoZhGJj7meH6zoXJL05WtAFTE6kFoHVfa1SajQCVI42LTO6L8cXSL7CwYKHmPhtn59D4QmPU85Fps7xRkqhqn5I0QyAxB4mlzCLrBZfaMGr53iV9L/l98lPy/kK62bDi3vfumy/5W+oVJWMw4A8gJz+HKNCiFlv/vRXfvv2t6GuWMgsuvudiFA8plr2/PKc9OPgFOeqaDMeknPHN12ZtfHYj/n7j31V//0zA7xFXmGAMDBAAdtTv0OR8lQ1Q1T6KpuHsHDqPd+LLl77ErnW7UD69HN+s/gZtB9qQ3zcfNzxzQ1IXr8qFlaibVif6mqXMorjwOlM2FslEaMLa2duENVMUwOpn1QeNlR5jW0ufTapfTmjxuVqGFCCuMBiJ1L0nBe9ccdQ6iMXzcgpm/DFavHcrF1Zi5e0rozZW3W3dSVUxDYW1sRg3eRweszwGALhn5z0w91XQFFpnVC6sjFa8E+nJ5u3yJl3xjv/NLSMtGHvDWOxYuwOt+1phKQuqbFYtqRKOJ91foecRI1mOSf5aVkxfIS7d3lObRcUmxHHUikTPewj4g99n6z7trCnZBh2xFM0i1j9h00ubcM0j1wAMcPH/Xpz0CYO1sTCYom8TfsHJlsLrVNAwpyEje3EJER+N9vyQHJ8hxedqGlJKiOfeDu1HFa/qWihavHdZG4u8kug6l4AvkNLxZCrqTTVK1ZhINWLRHamebMlAWAc9vetg4/ONUWm4X776pbCpJtEwp4FoRBUOLExqNJG1sbjo7ovEXwwAK25bgS+e+wJdp7poZCUCpWNLK2tKtkENKYpmEYv2+D1+fPDAB8jvky/bZ0otjDlGnHnDmaKpEtlUeJ1MODtH/D21uJmNBcmIjwY+m+T4DKkFLBxYiIvvuRh9R/dN0ZVF98uRYnTlaMw7MU/YCPKb4ERqurR677q+I9wrSZKvFoMxMPje776HH/7jhwkbrFomVKSlcmElUcUvWWNFLusBCG6g35rxFk44T0geJ7Vmnj52Oul1vXv+u4f4Gm8EBvwBzabVpotYxpYW1pRsgxpSFM0iJZNcMqwk2LwvyQQCAXhcHgytGIrbHLdhaMVQTP6/Xq9d5cJKGPPI3thMKrxOJlJeNK1uZpUitbBp4bPJ1i/0XH/f0X1RtaQK/cf3T9WlxRRV2rN+T9RzrI3Fzctujmujr+V7lzhukiRfTaLykUqc+5Nzs6aBqpRTJNH+aiRi2Rgn2uw72bWB7YfbFR1HIyvhxDIPamFNyTaoIUXRLKQJwdzPjO72bjT9tSnpRfsBfwAT7p6AYZcMg8FowKHGQ2jb3ya8ztpYjPjeiLC/4T3gmVZ4nUykNgta3cwqRWrTq4XPJhe54a/f7/XD4/LIpg8l49rCUqsIiNZeiJxDKkLFK7AxBkbYzGnRM04cN0mSrxaDs3NYNGARFjDaEk9JJlLzVPOy5qR8B7FsjOUMKXOpfB1bMo2Yru+6FB9LIyu98HNYTn5Q1sAy0oLhlw8X5iseLTt/MhlqSFE0i6gXxgC4292SMs1qYjAaUP1cNcZVj4O5X3ARcp3sTY/g7Bz2fRgu1xrwBVB6VqlQ8K41lTYtQjSaS826N0RFxzGjrZ4fpMhN6ML8Tf03eKTgERxpPpLyawvtf0UyhKQMpNBz3LzsZtFGvUaTEWNvDEYVhAJujar3SY2bVGxA+bod14ngXKjV70ltlMp4q4mSaARfoyZnSIUKUkiRrDEUixOGRlbCYW0srDVWlI4rxdw9c3HHx3fg5tdullU/VUomK+YmG2pIUTQL74XJ7xsi6+tHVG+YZHrQAv4AfJ7g+5mKTWCMDLpO9nrVHLUO0eLdlq9bsGrGqpQZfHpHarOg9++MtbGYtGQSCgYUCAve1Nenaq7nh+D1NPd6PUMX5lSLTZAgNTRW2uiYtbGY8uqUMO+8udSMmldqopwigHbTjMSMQSA1G1Cxuh2tfk9qojQNVk1YG4vy6eWSx/BjQc6QYm2soqhUMsZQLKn4NLIiTn7f/DBHrlyTdaVEtnGR269QoyscKn9O0TSsjcW+T/ahcWl0n5tQ+CJrzs4JsseMkUHAF4BlpCWqx4dwXIh8LP966GvFQ4rRfqgdU16bAoPBAASADQs3YPPyzbKqfSSDTytRCC3Bfyer7lgFX3fv9+ZqcWWEpOsgdhA6j3fip2t+inHV49J9OURYG4ud7+7Env/uwdw9c8Ne04ohxRugTS82CQ2CK2ZWxGSYislDc3YOXafEU4+0lmbE2TlBzTSUVG1ApepXMxk5Ge9kGbE71u6QfN1z2gNDjgHfNnyLC2ZcIHls1ZKqaEn3EJI1hhgDg0lPTQo2wnaJSHmHyMrTlHhxzH3N6DrZhUAggHXz1qFlewt+uvqnsFfZMfyy4bjywSvjOi/JMdIwp0F0nszUNiXxQg0piubZ9uY2+YOYYK+e5mXNwg3OL3SRN7rURAAg7LX2Q8Hi2M32zdi/YX9Uyo+p0AR3h1vxZ8n0jUYisDZWtPdPJhigfBRTD7128vvmi6rCacWQAoLGlNoRPb0InvDzV6ToganIhBtfuDEl94mlzCKqEKil7ylZkJx7yTRilawbfq8f/33ov7KGFD8+eGehuZ8Z7nY3fG6fqNNRLRiGwaVzL0XhgELxHm8h41nPc30yye+bH6xVPe1B655WnNx1EgDQsqMlPHMnRkjjy9XiiupNJxWNztbfjRpSFM3TebxT/qAA0PTXJmIOduiNLpeWIuap271ud9S5lTT1jCQbNhqJkKmebj7Skchilyr4jZXf64chxxAW5QWAb9Z8g4tnX5zmq1QfvQiekOSw3R1uYQ5L9oZGrFFtNqVjDZ0wFEAwpc7v9UdlNagNyXCNROk8GRmRXfvLteD+zkVFodWCs3N477fvoe1AG4qGFmF8zXjR3noAiPLyFKCgtAAlI0rwaMmjyMnPQUH/AgA9kSpCNF0JUuMrMiqVqWt0Imi+RspqtU63Wq2HrVbrVz3/LUz3NVFSS/HQYkXHyRWy8je61ERAek0NpTKlG43I/OMDDQcSfm+9YMwVj3bo2QDl7BzqZ9cDAF6/7nXN55PnFuaicGAhHjY9jEX9F/XW+vWw7tfrNP8Z4kEvY0xqw5KqWkwxNcVsSsc6vvU4gGBfw2QbUUDQcCXVxIXCGJi4fntzv+BGPBmKnHwEte1AUO2241AH2YgCgID+62KTAWfn0PC/DUHV4ADgdXnRfrAd9bPqcWzLMXzb8G3c9UpS+5LI3mOkeVIv82cy0LwhBWACgF85nc7ze/6rTfcFUVKL9SarKufhb3SpiSBZk4HSjYZY0Se3kMuehcUYXTCtZ083/3vysr/tB9o1LTrC2Tmsf3A9Th87DQSCi2hkrZ/X5c1IUQGpZqta+rxyc1SqRB/UKnTXG5ydw8bnNgqPU2G88gIpcgR88TWzze+bDwSA7rbueC+RiGgEVcZe09L9phXEvseAP4DGFxrh7QrWnMU7FmO5d8UEV/S8RquBHgypiwBMt1qtnNVqXW61Wvum+4IoqYOzc2he1hz1fMyNB0N69khNBJULKwXVMrUwl5pxzcJrFE1WYpOlr8uXNQtLwBPAmTecicJBhRnh6dabuhkpbSySTEzjYG0scYOnpc+rZI7S0vVmGo5aB3xdqVOO5WFtLEzFJtnj4rmW86adh9lfz4apSP78sRLPWKTjNxridxIxZ8Xz+0sZXpEqj5HqrgX9C3S9RquBHmqkDgN4AsAnAB4B8CwAWywn2LJlSxIuKz6amprSfQm6wnE/YWOXA0BE+IdE2Q/L4B7vDn7/44FzfncOnM854TrqgnmQGdbZVrjHB0UjhlYPxb43o2WQlcLkMgh4emc3V4sLq2aswu7duzG8arjk30qlHWb62PF7/fB7/WCGMvDBh+E3Dsf588+HG27dfnYt/J6xvI/SDUxuca5ufxMpzIPNcB2JFtowDzJr5/OOB6y/tGLr41uJh6hxvZr5vBojnff0WfedhS2PbYky5BK9lgMNB6LWQ7m1ikTk+5oHid9Tcqz606q4ryETieV7jOX3P9BwANxCcUOKyWFgnWuNPtd4YMDEATj83mGMnTW2d2+VAHqebzRjSFmt1lsAPBXx9Han0/mDkGMWAdgZ67nPPfdc5OXlJXiFidPU1ISKCmW9TihB1hxdI/q8v0tZTwqjyYiaV2qivCUVFRVon9EO7h8czv7h2egzqo/w2n8//W/8FwygoG9BMDUq9HrdfjT/sRlnjD5D0nOzoWwDUQ0r08dO16kurMVajBw7Eq1DWlEQKND9Z0737xnrnOPo54jKiRfD3+WHabsp47yQpidMoiIKVU9Uga3QzmcdUzoGWx/figtnXghuOaf69dK1ikw67+mKigqMOXMM1v5yraS4QCzXwtk5bHlkiyBJ7jriwtZHt8quVWKIjRvSPVU+vRxb/71VfL4JANzDXFzXkKmIfY+hkvGhxPL7b/jhBqJhHvAGsPul3aK/w5GxR3D4vcO48Xc3Iic/MVNCK/NNd3d3XIEXzaT2OZ3ON5xO5/DQ/wD80Gq13htyGIOY4hAUvRN3zRIDFA4qRNn3ykQn4kAggNcqX8O6+9fhKHc07LX2g+3xvScAxsjg9PHToq8FfAGsmrFKMowulnZozDdmTf7x+CnjUWothbnUjOPbj+u+6V+m5pP73JmZbsqnrRQMCKphFQ4u1GTaCl+3NurKUVkt+pAO0nlPr1+wHnXT6qQV2pjYVCYdtdF9ndRMVRSEScp6xmhZcIxWL63GvBPziA2CM3WOiRexxsxFQ4qixqIh1wB3h1vxuimXhUCqu/J7/SgaUpSwEZUJaP0b6AAwz2q1fuJ0Oj8H8EsAK9J8TZQUQpLZzTHnED3nhhwDpvxtCvqe2ZeoAufucOPE9hMAELUoGfONoh6a3MJcICAte14xswLOVU6h/1QkPrdPtMkdD/88LxVbOLAQY/93bFZsjPL75OPHK34Mzs5h74d74ff0Rh312vSPv9aVP18ZlElOYp8WNRDrH0UiU+sYWBuLvmP64uXLXkbNyzUYe8PYdF9SFCUjSnDHp3eg75i+KBxQqNnxlIlE9mFKhWofEIwcffTIR/IHBmKbI1MhZy3WAJtHas7J1DkmHsTqxU8fPY2KmRXg/sGh+1RQKMTv8Qt7IyXrphJpfbE+Ud4uLzoOd8D5llM1QTC9opmIlBhOp9MH4EcAnrdarV8DqAAwL71XRUklJJndqiVVUQXXvDys3+tHZ0snhl8yHEMuHBJ1Ts7O4bmznhMe71q3K+w1X3e0EWU0GTH5r5PDriW3MBeMISjzxRgZTLh7AqqXVuPKP0p3F5dLnWJtLIqGFiGvJA+nj5+G8zmnLqMx8cCr3IUaUTxaFmmQgrWxyC3IxSVzLtG8ulksEeBMlrvlveSxGJapJNeci+GXDkfhgMJ0X0pWkg7FQketI0pBUwzLyNjuy1TJWR9qPARHrSPKcSn1Ppk8x8SKqGqfL4Ct/94qumfhkVs3xSKsYrTubQ2LcI27cRwA4Ou6r5Vcfkaj9YgUnE7nBgAXpvs6KOmD5M0KIIAV04IBSt7Tf2zbMXz0yEfY8989+Oixj9BxpCPMY8hv1EMnpM2vb8aOtTtQtaQKDXMaRHOOTcW99SCsjYXf58enf/kUJ7afQM0rNeHHFphgNBvhc8kvemJwdg6HvjgkXIfriEuX0ZhY4Owc3r3/XXQc6ZA8To8eSm+3F91t3UK6mJYRiwCLYTRldrqpuZ+2DamOox3YsXYHzpx0puI+exR9o2juYxBzBDVVzZUPf3kYHz3yES66+yLk9+ltTF65sBIrb18Z5TzL9DkmVki/v5KaVqmxw+8p3rrzLXi7vGAMDLGfWGiECwg6r5uXNWPP+j2azrRINpqOSFEoUpxnOw9n/8/ZmPzSZMEryNc3ba/bjo7DHUIvJj7HlyTv7GpxYeXtK4mTkqvFJXhiVv58JZ4a8RTW/3E9vnr1qzAvDW+oSRlRpJxwHjFjTq/RGCXw35mcEQXoz0PJ2Tk8PeZpAMBnT36m+chiZASYMYo3Vgp1LGQi3zZ8i+KhxXh77tuarM9rcbbgrRlvCenJlMxH0dwXAJqXNcc0Xvl7nm8pkqw6O95QimwszPfICl0XzaVmUZGobCaRtU/ub1kbi8HnD8aAcwcQ53weT6cHDXMa8Nb/e0v4TVPVCFyraD4iRaFIccsbtwj/XjxqcbDrtwi8ISLlmRFLJwtl9czV2PfxPmz555awUHqol0auD48h14CqJVXE1+tn1RONObk8Zr2itHeR3kQaIqOfru/0EVlkbSzGVo/Fxmc34oMHPxA9RquRGjXg7BzW/GKN8LtpsT6PT/EymsRrQCmZh9JosVg9ixysjcWoq0chryQvKb2kAMDn6RmzInXLUjVUlCBiv7/RZISp2CQZlVIa2es61YVT+07J7oMA8SgYb2Bl4+9II1KUjKHtQBsxJA1AKAyOF0+nB40vNIrwa9c/AAAgAElEQVTmIysx1PIseZjy6hTiRMPZOTS+0Ei+AEa6cZ5eUWIgmkvNulMj01sz3lB8bh8+eOCDsBScUPQWGYwFPfxuvCEV6d2nZC585EguowGIPQWas3N4+fKX8WjJo0mLwJIiUhRl8L9/0eAiAEDBgALUvFIj6ZgF5LMHODuHxaMW48T2E/B2JiaKHZq5k03QEU3RNXXT6rB80nIAwcJLKfhaKSWFlUQk3kLOUAv4A6i7tY64UDlqHZLnRwCa2syphVwqQdWzVZh3Yp6ujCggNWpYyeLbd74FAHSdjJZZ1ltkMFb08LvRiFR2wtpYzDsxD1OXT5UUlYjF0cFHzlv3tgqp8HW31qF+Vr0alywgFZGiKIO1sbjz8zsBANcsvEaI5PGiV2JIZQ+E/fYKyS3IlTTmM3GPIgc1pCi6hbNz+HrF19j57k4sHrU42GWMAL/54706uYUJGFMEeEON5HFzt7ujarZCUbJR09JmTi3kDOAL79Cn1kyq1LDUhrNzqL+LsIligPLp5bozamNBD78bNaSyG141cOryqQn3tBJNrQ4AjS80qhpdmDhvIn7f+XsY8+iYTYRdjqDK8JqZa/Dnvn8GZ+dQ8QtyM1teOEcMJWn1hlwDcgpyolSTSWTiHkUOakhRdAnvSeFD0bw3TcwzY+4XnhbG2licc8s5sY9+qcBJTxNE1sYiryRP9lRiqUJKNmpa2syphZxc79+r/56iK1EXvTbjlVxcA8COtTtSe0EpRg+/25hJY3DX5rvQb0y/dF8KJY2Q2oOo0UcKgR7hI5UwGA3INeeCYaQzEChkODuHhl/2/iZdp7qweuZqlE0sw+jK0aJ/4253Ew1iOaPHUmbBtX++FlfNvwr37r8XlQsr4ah1oO7WOsm/yTaoIUXRJaTNHpPLhC0qU5dPxbyW6LSwzpZOQKam0pBrCIawe8414a4J5INDmiAqLcRv3duKRf0XCZOcXNqh1jZzaiH2uUOjervf3x32PekFfpPD1xmVjCjRRZ2XbKf7DPc48r+bqThYdJ8sFbNEyLfkYxA7CDn5VC8q20m0p5XUxlfNmpftq7bjnfveUeVc2QqpfrNhTgNue+820ZQ7n9tHTLeT+u0NJgNa97XinV+9g/d+8x7s1fawFFASWmxgnmyoIUXRJaTNnL/bj8qFlZjvn497vr0HHpcHhxoPRR3n+s4lm2Lg9/hhKjIJC1T10mpibnBoVCUWj4yrxYVVM1aBs3NgbSyuX3K98Jq51BxmyGltM6cWrI3F937/veADJvi5I0VDQr8nPcHaWFwy5xIA0HwzXh658ZsNHkfWxuKy+y4DANzz7T2a+92ONB/B5898rkjtkkKRonJhpWS2hVo1L/s27EPTX5tUOVe2ItVLirNzRCcu6e+kHLN+d7in+VjzMUXzTaZnLIhBDSmKLpHazPHpCIyBweqZq+F8yxn2OmfncPDzg5LdwHkiJ6CqJVWyaT+xClqEeozGVge9OdXPV2PeiXkYXD4Yfc/rq5tNeLyMunIUAGDaO9NgKjKJ1k1Jeda0jPu0Gzn5OZIFwVpCavxmalRUjIm/nohaV63QX0dL7P1wL96+5214XNSQoiQGa2Mlsy3UikD7PD4qNJEgUvseR60j5vpO1sYSlVnjJdMzFsTQ3gpBoShAajPHe2cYA4N8Sz66TvUqj/G1VX6vfK8EIHoCUpKTHnaMQlr3tmLxqMXY8o8tACCIYZj7meFpzfzNEu/pMhWaJCdiPfbSuuIPV2D217PTfRmK4cdvwcCCsOczOSoqRm5BrmZT56jYBEVNJLMtVIpA+9w+Kn2eIFL7ntZ9rTHXd3J2TlBTVItsyFiIRJurBIUiA2tj0TCngdiIjo9cdLV2YeMzG7HxmY3CQqE0HYY0ASlpHsgfs8CwQFrSPITWva149753AQQNCiCY5uZudSs7gQ7h7FxY/6096/fAUmYhG0w9vbT0tJnPt+Qj36Ku1y/ZsDYWp/aewvu17wMArlpwFa588Mo0X1Vq+fSpT7F+/nq4O9yCIqdWxh01pChqU7WkKqrhq5oRaL/HTyNSCSK177GUWYT5iV9TpeatyIbxPOZSM7pOdkn25CSRTRkLoVD3AEW3SEpw7m3FyttXhhkxrhaXZAfwUNRqABuvd6btYBs4O4ct/9gC90k3Fo9MTpPEdBLZvwQAPnz4Q4y9YSzZc6nDXlpb/70Vm17alO7LiJlQD7WUhG4mwtk5vP/792VbFqQLwZCiG1OKSvCRaL52OBkRaK1GePWEXHmBUvERkmCXqcgkKadOgjEyWZWxEAo1pCi6hbWxxHQExsgIndTjwVQk3Q1cKfE2AP7vgv9i9czV6G7rBhAM22tpI6cGYhO5t8uLHWt3YMqrU4h/17q3FQsMC4iNjbVG87JmND7fmO7LiJnj244L/16/YL0uvmu1cNQ64O3yhj0n1rIgXfjcPhhyDLqpu6PoA9bGYsx1YzCofJAqdbmcncPiUYuxwLAAu97bhasfulqlK81elEre//t//o11v1lHPI9U4/HqpdWYcLeESrEIAX8gK40ogKb2UXQOKR0hUTUrtQomw0LtMdT3iEXO+I1cpkxWUhM5a2Olv7OQKAEATX8nnk5PUhpAJxPOzuGL574QHrtOuIIRXmj7u1YLqbGpBSbOm4iKmbF7jSkUOQpKC3DkyyMJnycydUwv87UekCsv4OwcnKud8Lv92PqvraLpfaQUej6LpnppNSwjLHD8XpnzSEn/zEyFRqQouob3zvCe2aIhRTEJPTBGcY+umgWTrI1F5cJK5JgT91toZSOnBnIKQ0qieVqKEpBwn3YLNW96oWFOQ5Ryot/jV7VBp5aJVf0q1eRb8tFnZJ90XwYlAzGXmoN9FhOE1PNI6/O13hEEtXrky0lpyWNvGBslex9Z43TW/5zV+yIDlAwvQW6RyJrMAP3H91ftM+gNakhRdA9rYzHyypEYMXEE7jt0n2C4yI3uKa9Nwc3LbhbdrPc7s5+q1+iodcDr8sof2EN+X3FxAq1s5NRATmEosjEqCa2n+nlOe+JK70wnpFpCpTWGeofUVFIrzSa/qf8Gny35LN2XQckwODuHTS9vgtflxVNlTyU0n2o9qpupKDFgOTuH5mXN4UJYDFA+vTwschUqjc4wDIZUDIG3M2IfwwDmAWYakaJQ9M4VD1yBKx64QlCaYW0szH2lC+Rz8nPA2lgMv2x41Gu7HbtRP6tetetTuniYioJGw7WPXxuTjKkeiSxuBiCa662o1k2DggA8ekzty3ZITSW10mxy+4rt+OTxT9J9GZQMgo9kdJ8K1uW27W9LaD7VelQ3U1FiwIoKTQSi57dQtVlzqRm7Hbuj1fwCgOuYC7vW7dKsMzPZUEOKkhF4u7ywX2/HwY0HhedIXb4BoM8ZfVA4sBBAUHJbjKYX1evCrnTxcHcEpc7f+817KJ9ejpLhJQCCEapMVMRhbSzGXDsm7HEoYkX/UmgtdYSzc/D7/Ni8fLOuFhmSiAvp+UxD6950n9tHpc8pqqJ2Kl7lwsoolT7GwGSUM1CLKDFglc5v297YJvy783insD8hoVVnZrKhhhRF93B2DnW2OgDAv6b+S7iJSROKudSMOTvnYNSVowAgqhaEh/R8PMSq3udqceHLl7/ENY9cAwC45J5LMs6I4jl9/LTw70hjI56Nq1Y2u7yHt21/m6YjZmJULamK2qgbTUbJlgOZhNa96dSQoqiN2s4D1sbi8l9fLjw25hlRai3N2HVMK4juNZjwtGQl8xu/fsWK1pyZqYAaUhRdw9/sXSe7AAAdhzuEzaqU8RK6mSUJTpCejwc+jS0WfG4fPnjgA+QW56pS/KtFODuHw5sOC48jjY14Nq5a2ezqudiatbGoeaUmTGK35pWarNkEydXvpRPOzsH5lhMtzhZdRTkp2iYZzoORV4wU/j3qqlEYcNaAuM9FUQZrY1E+vTxcSCIQbMPBzxVi0cLI+Y3UZ0oJWnFmpgpqSFF0jdRmlTdeItORXC0u1N1ah48XfQwARBlhteWF49mEtu5rRa4lN2OL/B21jqgaqFBjI9ZInlY2u4D208PkUNrYMRMR5o6QRsRqqG4mSv2setTdWicI1+gpyknRNslwHoQ2Vp/29jT86D8/ivtcFOXsWLsjXEgC4etqZLRQrHRAyTqVCtVjPUANKYqukdussjZWEHAIIwBseGQDAAjN5/hJgTEymHD3BFQvrU7ORceAuZ8ZnnYPtvxzS0Z6n5X8fpNfnAyDSdlUpaUGpVpPD6PIE1qf52pxpdVo4ewcGl9olNwgUSjxws+1JWXButw8S17CdbntB9qF9TcT1y+tosSJd+GdFwr/nvTUJNE+U1KYS82iqsdacmamCmpIUXRNIoWV3a3dwsRevbQaD3ofxPzAfDzofTBpRtRNL9+k/GAGcLe74Wn16K7GRimKjQ0Fwn1AUKxDK9+RWO+wbFxk9IrWUjMdtY4oI4pHL1FOirZhbSzu3XsvTEUmnH/7+QkZUXzaPS9Q0Lq3FStvX6mJuTnTUbKu7tuwTzBy189fH/W7yGWDuNuDv+vkFyejYEABAKBocFFGimLJQQ0piq5Rko4g5VlJ9aboghkXYH5gvqKGwQzDwOf2hT2Xad7nyoWVsk0BHbUO+L0KLSlo5ztibSyu+8t1wmPLSEtWLjJ6RWupmVLvS6OcFDUxl5oTTicXc0T4PX5NzM2Zjty+iLNzeOv/vRVm5EY6IPkIJWmv4nP7hBKKW/59CwDg5uU3Z+X6Rg0piq4Ju9kZ8c2qVAQg1ZuivR/uxaaXNymq/Ynq19BDJnmfWRuLwkGFwe+C8Pu17tWvcp/1JisA4Ma/3ph1dUZ6R2upmcT3ZaTnOAolVq544Aqc+9NzEzoH0RERx3xOiQ1+X8TvMfh1FQimWNZN662z5BFzQPJ1spHOTh7+N+ZrSXnRr2wj/dWzFEqCsDZWcoPK2lisuWuNaA+E0GLyZMPZOay8fSX8Hj+KhxWjfHo5dqzdQVxYGCMjKsGeymtOBTmmHIz90VjUvFoj+jrpe5BCKx76kmEleND3YLovgxIHlQsrsXrm6jCvejpTM8WuBwww4a4J1ECnqAZn5/Dhwx+idV8rLGUWYbw7ah1hz8mNOUuZRXxtY4LvQcdscmFtLLzdXhzljuL6p64XUi2llPhIxi/pt+TX2fy+wca9rpOZKYolB41IUbICY156e67wkxivUNd+sB3Ny5pRubASU5dPFQ3DV8ysCFM94nG3uzMqz9zj8kgqosVqRGmtDokxMJoSwaAog/fq8vn/xcOL05aaydm53lSpnqFkGWnB1NenakIUh5IZ8OtU695WoS535e0rsWrGqrDnlNShEufgQOpT6rOVC2ZcgOufuh4A0DCnQVbOnOSAlOtNtWvdLjA5DNbMXIMFzAIs6r8oo/YoclBDipIVuL4T95SQnlcbJTLtkemJ1UurkVeSF3UuPjc5Uzjv1vPC+o1EoqSejMdcatZUHVLbwTasuWsNDn95WP5giuZgbSxuePYGAMC0hmlpM6KEzS0gCE4oiQpQKLFAqmuKp1ZXamzS9L7UEQgEsNm+WbbmzWgyEo1foTdV2ImDvanqZ9VjzV1rEPD2OjxdLS6smrEqa4wpmtpHyQrkQtPJRonMt9jCQzL0tFIDpAaT/jJJ8nXRlCYCpiKTpjaXncc70fTXJoyZNAZDLhiS7suhxAHfhy5dTbFJjTF5JwyFohaxrCtKjs3vmy9eN0PT+1JCwz0N2PjMRkXHmoql184da3dEPefp9KDpxSbRrJFQMYpMh0akKFlBMpoNxkK8hetaK3hXm0AgIKvIJ9qpnYDWDEyfJ+jJNeamN7WUEj8HPz8IAFh29bK09MLRmnogJXOJZV1RcuwNz9wgPm/T9L6kw9k5NL3YpPh4uewc0nwjlXqfLXMUNaQoWYGYlGcqU8DiNeQqF1bCmB++CddaDVA8cHYOi0ctxkPGh/Bw7sP4z8/+I3m8WKd2MbRmYPI1cUYTNaT0CGfn8OGfPgw+SFMvt0x3plC0gxI1WUD5GsTaWNr7LE04ah3wdfvkD+whXqcuYyR7OLNljqKGFCVrYG1sVH+iVG2IlMi0k/6OrWVRNKQopr/TMpEFzQCw7c1tkr+FokVXgzLQfERKTDSEon0ctQ5FMsHJRGxzy+QwmhvrFP0jCKwMLCAewxgZ2TWId5QtYBYQMwmyZZOdLmIxVKXqo3hIzmCSKJaSc2YKtEaKkjXwG3ge3rsMSBfGqoWcTDuJ4VXDYdhvgHOVM9jTQeeQCppXTF8BQPy3INW48dLo/P/5Da6avyevmBaL9C9PwB9AbkEujUjpFC2k1fFjrW5aHQDAkGNAn9F9dO1MoWgX1sZi1DWj8OTQJ0VfD/gDskZUWE2rSEQqE7IqtA5Rfl4EufoooHceElsLyyaWoWFOgyBoYS41o2pJVdbMUdRNSskapJTztI65rxldJ7sQCMQmBa5FpHKtSWlTUt6w3IJcIU9b7dQrMTngWM4/+urR+P3p36NsYpkq10NJLVpJqwvdkBhyDegzsk9K35+SXRQPKSaqpTIMgwWGBcR6QZI4CmNkMiarQg9ULqxUnAmhVL2Yb9A73z8/rME8a2Mx78Q8nDftPFy/5HrMOzEvq35fakhRsgYteJfjxdzPDJ/bp0i5TutIbUJJhi0pNXLH2h0JGcdCCgphYxCr8S13Poq+SLdITSh8VNPr8iInnyaTUJLH5uWb0XG0Q/S1gD8g6VSScpRFbsApyYVhlPUvVMsxdPPrN+OSey5R5Vx6ghpSlKxBK97leDD3C0owq933Kh0bf7mCZtJCLOYNS8Q4VhJtiuX8YudbdecqvHz5y2g70CZ7PRTtwRvwfMPoRLzpid5rZ/zgDOHf1JCiJAvOzmHVjFXwdckLFYg5lYjraY/kOSU1OGodUf2/xKBplolDDSlK1qAl73KsHOWOAgAWly1WrXO42Ma/blpd0ruS85tTEmpI8Co5h5JoUyznFzufr8uHA58egLvDLXs9FO1iMCa2VCaaIgoAU5ZNwfdrv4/+4/uj37h+CV0PhULCUesQ1EaVwDuVODsHx40Ocl0OlTxPKVLOxFhFr5RSP6ser0x8RZVz6QlqSFGyhniV89LNgYYD+OL5L8Kec7W4EjZ6SLnsrhZX0iWeWRuLIRXRDWpjNWwTMY6J0aa9rULEIJbzSy1cVLVPn/AGEG8Ix1uDRzLaV0xfQTxXZARr5zs7cc2frsHsr2frwvlD0Sexprqb+5mF+8R1JL5eRBT1kYoMVi6sVD3NkrNzaH6tGfs/2Z91ae10dadkFaRiSS3jfM6JgEdcZCIRo0dqUUuFCMd1f7mu90Gchi1vHBcPLQ6exsAI1y73nUhFrUIVHatfqA6mdslco9T5dtRHd4WnaB+1BGpiFVghRYv/lPcnWn9HSSqxprq7291omNOgqH5XD2n0mQIxhT4A1R2lglLj6eAYSEe/vXRCDSkKReO4jkp7+eI1euQWtWR7DwP+XuMwEcOWtbG4cv6VANN7TiUTeeXCSklZcv57Lb+1HLWdtXjQ96DkNVYurCT2TPn48Y+VfyCKZlBLoCZWgRVStNjn9qWtMTAlO4hF7Q0Ijkle9lqKbOorpAV4J6NYw1y1HaV6VkRWA2pIUSgaxzzILHtMPEaPnOhDsr2H/7r5X6qda8MjG6L6lchN5KyNxZk3nCl5Xv57XTdvHZ4Y+ITksayNFe2ZAgDtB9sl/5aiTdQSqKlcWAljHtloj7x/ldzP2bRRoaQO1sZiyqtTYDSr2/tOSa8iirqwNjbMYRmKmo5SPSsiqwE1pCgUjWOdbZX1EPKqfrEg5bFKtQhHoqlK8U7kRYOLJF+3lFlw+vhpfPL4J+g80Qm/r7cIO7KGpX5Wveh3yZ+Hoj/UEqhhbSwumUOWBY4cH0rHS7ZsVCipx8Couz1UW3GWogzLiOSrFZPOFc++RI9QQ4pC0TjDq4ZjyqtTJI9xtbhQP6s+5nOzNhYjLh8R9lwqRDg4O4futm7hcaKpSqQJW2qx4Owcmpc1S57X3eHGln9uER4/nPuwYDRF1rA0Pt8oNAYORS/KkJRoBIGannGUZ8mL+94YecXI4D8ibG2x8SEXLeahBjolGZBSSxOBjtX0MLZ6bNRzaq9JpHRQd7s7K9KPqSFFoegA1sYiv1++5DGNLzTGNWnlmns3bEVDilIiwuGodcScikci0ijjkcrJ54tjvS6v5LldLS68c987vU/wRtMLjYo3Gj6PD36/cjlhirZgbSzm7p0Lcz8zWBsb971RPCQoiNJndB8U9C8AAOT3yRc1zIRosUGioSYDjL0hepNEoSSK6pHOHqU4SmohOQvLp5erusazNhZ5JXlRz/vcvqxIP6aGFIWiE7pOdkkfEGefDlORCQBgzDei43AHFo9MviKYmjnVpL4nUjn5sXhcRRUTCbVQYvg9frx1x1tZ4ZnLVHhjvXFpY9xpqEMuHIJhFw9D6ZmlGH75cABA16kuosKkVH0DACAANC9rpuOKojqqRo8YYMJdE2h9VBogrXM71qqvIktK3cyG9GNqSFEoOoCzc4o27/FMWnxdD9/JvnVf8hXB1CriB8ifWSonP9WTu9/jR8OchpS+J0Ud+Oil3xs01hNJQy0dV4rutm58u/Zb4Tmp8/FODhJUcIKSDCRTS3uCpDkFObK1u5aRFkx9fSqql1arfIUUJaRSBELNNV1vUEOKQtE4BxoOCD2N5Ihl0uLsHBb1X4Rtb2yLei3ZGzS1iviB+CZwVSZ3iawrMZRIBFO0h1rSvvWz67HZvhkHPjsgGGVy5xNrWh1JNnh8KaklrHl9CAUDCzD19amYap8Kb6cXF8y4QHjNXBpep1oyogSVCytpJCqNpFIEQs01XW9QQ4pC0TjO55yK0tBimbSETvQSm/tkbtDO/em5uPrhq1EyoiTuZrw88UzgsU7ukf2mcgtyMeGuCTGdg6JP1PDqcnYOX770pWRUWex8JcNLZM+dDR5fSurhm9dPXT4VhpzgVpHp8R7l9w3W65ZPL8cFd16AoiFFGD9lfNjft+1vo73O0kwqRSB44zu/T3BslIwoSbpolVbQnCFltVoftlqtfwx53MdqtdZbrdavrVbrh1ardXAaL49CSTlyDXkBoHBgYUyTlpIaoWRKl7o73Hj3vndxyZxLEmrGC0R4TxUaZayNjfKgkjCXmnHTyzcJj/nzVy+tRqm1VPF1Kn0/irZQI2XFUesINtON8X183cG/4UUnxAz6bPD4UtJDZFrr6WOnsXrmamx6aRMA4JXLX8GXL32JjsMdYeqmPDT1NL2kWgSCtbG49vFrAQAzPpqRFUYUoCFDymq1WqxW68sA7ot46U8ANjidzrMA/B+AJSm/OAoljShpyHv909fHNGkp8aYnU7rU2x1Uy8vJy1HlfLz39Hdtv8O0d6bhnB+fI/s3VUuqZI/JLcjFhTMvxJpfrAEAXDT7ojCj7+wfna3o+owmo6L3o2iPWCKekb3F+PtH9n4jKPDxxjcvOlF2ZVlMDgMKJRFIaa3b67ZHHes5Le6Yo6mn6SXVIhBDLxqKKx64AjlmddZ2PaAZQwpADYAdAP4S8Xw1AHvPv/8BoMpqtco32KBQMgTrbKto4W9oyL7+7vqYjB4l3vRkSpfynvacfPUmW87OYfHIxXhu/HOKlNXkNqCMgcHkFyejbGKZsJkITYXk7Bw++8tnUX9nvdmKqcunomhosNmvudSMmldq6IZXp/ART96oKR5aLGrA8N770N5ifGqT7P0WocDH1y82/bUp7LB9H+5D5cLKhKO4FIoS1Nhs09TT9JJqEYjB5YNx9UNXo3BAYVLOr0U0Y0g5nc7XnE7nYwAi8x+GAjjcc4wXQBuAASm+PAolbQyvGh6Vujbh7glgmF61g66TXai7tU5xU16lDT+T5bXydvVEpFQypISarx7vW/vBdkX5+bxioRgBfwCOWgd2vbdLuNbOlk7hdVJ6pHOlEwAwi5sFIGh80Q2vvmFtLGpeqQEA/HT1T0V/TylRCiXpd55ODxrmNGBR/0Wom1YnWr/o6/ZR9UdKykh0s01TT9NPqkUgNi/fjCdHPBkVlc9kUh57s1qttwB4KuLp7U6n8weEP4nc6TAAYupuuWVLdO5uumhqapI/iEKJwD3eje//5/vCY8eNIjUXAaDx+UZ4h3oxvGq49AnHA+f87hx89cBXwccMRAvhzYPMSRmz7TvbAQB7D+6Fp0lZPycpHPeLb2Ib7m+Ae7yb+Hf9L+qP75q/g88lXr/SurcVG5/bCCDYWHfXul1YNGQRrLOtZCMzADTc34Brxl2DgmEF8HX50nrf0zlHHVqOtgAANm/cjEOBQ1GvS4lSSI3BUJQoO7paXFj1p1Xy93iC0HFDGX3naHALOaE1RiyYB5thnW2Fe7ybjqV00rPWO59zwnXUBfOg5P0uBxoOYPOfNsPf3dsqYtWdq7Br9y7Z+UrPYyTlhpTT6XwDwBsx/MlBAIMBHLBarTkAigG0xPKe5557LvLyogvuUk1TUxMqKirSfRkUnSE2btYcXUM8fvdLu1HzhxrZ8154wYWCIXXdX67DB3/4IMwYyS3IRdUTVWAr1I+mdI7sROFzhRgzaQz6jemX8PlI34frqEvynqv4tEKIZpHEN/iGvAFf8P+uIy5sfXQrzP3MxI2v66gLed/kwf2dG16XFxt+uCEtUsB0zlGPo7lH8Sk+RdnAMpxVcVbU6xvKNgTT+iKwlFlQUVERfF2lCK/Sezxe6LihAEBFRQXOGH0GHLUOtO5rhaXMgrE3jMWmlzaJNkEXYIB5h+el7kIpklRUVAB/SP77bPjhBsGI4vF1+WTnK63MN93d3XEFXvRQDbYWwG0AHgHwYwSFJxJ3YVMoOsZSZhHdtAExpOMxgLXGCucqJy679zIUDSzC23PfRueJThQNKcJ1j1+XtI1/Qf8CXDTrItXOR6qNG6wAACAASURBVPo+lKSm8J/RUesgfqeReDo9ksW05n5mrJ65Gl5XMIWRr5cJfT+KvuBlfbtOdYm+XrmwMsogD02hGVwxWDVDihbwU1IFa2Oj5qyyiWVY8fMVCHjF9fxpXVR2QozKK1xX9YpmaqQkeADApVardSuAWQBmp/l6KJS0U7mwktgQVukixjAMhlwYbPh5qOkQWBuLW968BQBQ/vNyOGodSclz5uwcnip7CgsMC/BU2VOqnDuePHCfx4clZyzBF89/Iaj+RTaglML1nQvFw4ujX2CCtSxqNHGlaIeC/gWY+JuJGHjuQNHXeVEKvu4vso/KgLMGCDWOgHR9nhx0o0pJN4LiasQwpnVR2QtxXmKQ0bVSmjOknE7nH51O5x9DHn/ndDpvcjqd5zidzolOp3NP+q6OQtEGrI0NNoRNYBFzn3bj86c/BwChB8jJXSeR1ycPHz/6saj6WKLwaXRt+9uAgHpNG+PpJeX3+nFq9yl0t3YLz4mKcEgYrP3H9Ufh4MLwYwLBPlli0EiCftm+Yju2/HMLXrr0JaJzgbWxGPG9EQCCY9tR6xCO83v8yMnLwQ/+HCwHjlf6n25UKelESIXm5c4jglLZJHtNCYfo4A0go52ImjOkKBSKMqqXVmPq61NhKjYBiL2vjOs7l1Djk1eSB87OoeGXDeg+1R11rFrRFClls0Tho0p3Nd+F2xy3yX4PfM1TaGRAzCAbfml0kSy/mb32iWvBgBEV6hCDRhL0iZS0eeRx+z/eLzwOPc7v9cOQY8D+T4KvyzXE5rns/sto7yiKZpBr5u5qcanmeKPoC9bGEtfCTHYiUtcBhaJjWBuLbXXbsL1uO1r3tqJuWh3qptXBXGpG1ZIqyQ0X38sJANY/uB6MkRGMCzHUmAillM3Uwn69HWdWnYmbXrpJ8ji/L1gUazCG+5NYG4txk8dhyz+3oOz7Zdi+cjsOfHoAeX3yBCOT97oOuWAIOo52KLouGknQL1IOgNB7zFHrEOriIo+z3mSF3++P6g0lx8BzBuK6x6+L/+IpFBVRMleL3RuU7MBcKi7ClMlORBqRolB0DGfn4FzljHre1eLCqhmrJL2C2/6zLeyxlBEFqDMRpqI5YH6ffKIgQChiESke92k31vxiDfas3yPIzIfKzfNe1/d++x4KB4o3HjSXmmkkIUNQ6gCQOm70NaNhzDWGOTCU8MGDH8R0PIWSTJTO1ZkcgaCIw9k5dLdFZ7QYTcaMdiJSQ4pC0TGOWgfRAPK5fZIpc58v/lzx+6gVTUlFc0ClhpQhxwBrjVVUfn3XumAT3rWz1uKzJz8DAHg7oyMNHz/xMYqGFIl+pqolVZi7Zy7m++dj7p651IjSMUodAFLHjZ8yXnSTIUfb/rasaWxJ0T5Km7lncgSCIo6j1iEqi8/vRTJ1DqOGFIWiY+S8flKvK01JM5eaVYum8DVIxUODaneRymaJwtk5HN50GLsdu2U3n3klefjJyp9g3I3jos5Rf3e98Fhy8+sDGAMTs9AFRV8odQCIFVvzx7k73CgZXiJ6fnOpWfL91RR8oVASIayOlASDjI5AUMSR2m9k8hxGa6QoFB0j1RQWkPYKWkZYxCc+BmEFo3dzd6N4iIjMd5yI9SVRA14QwNvV27up7tY67Pt4H6qXVis+j1wxdSQnvj6RtM9E0Qb8b7v6F0G1MstIi2iDZdbGon52Pfw+f/C4st7j6qbVwdvtRW5BbnTj6yVVcDzgQOtu8kaE1p1QtAI/34k2M2eACXdNoOM0C5Hqbwlk7hxGI1IUSoYil5dc+Yi4l33E5SPQZ3Qf3PRKUKyh83in6td2cvdJ7PtoHwIBhXJ3ChA1gAJA4wuNol6wtgNteHzA4+D+Hv5arLn9keIClMyEtbH40X9+hBuW3iCZqmkwGjDgrAEoGlSE1n2tQkqL3+OHua85Kno58LyB2PafbSgdU4q+Y/pKOj9o3QlFS0SqnJoHmzH19akxOa4omYOStM9MnMNoRIpC0TGu78jRqJpXaiQ9P4MvGIwzJp2BQ18cQvvBdsF7Pu6mcTDmGvHhnz4EALxw/gthnnU12PTSJnz854/xoPdBVc4HSEzQPT0sIq/d5/Gh80RnmIgEIO9Vi0RJvQAlMzhz0pmyx5R9vwzOt5xCVJePjPYZ1QemQlNU9PIfN/0Dp3afgjHPiL5n9MWt796KBcwC0XPTuhOK1ggdz01NTWArMivaQFEOPw4ctQ7iGpqJcxg1pCgUHUPa9OcW5MoaPce2HoNzhRN3c3dj4LkDw17bvHwzPnr0o+CDkL45AFQxprxdXuTkqzv9SBlAYs+TVPsqF1ZGp6tIYL3ZGuOVUvSKu8ON1v2t6HdmPxhzjaLHHPnqSHQvlQBwavcplJSF10hxdg67398Nz2kPDDkGDD5/MLGGgMrnUygUrcMb1ssql2HP+3uiXh97w9jUX1SSoal9FIqOIYXSPZ0eLGAWYFH/RcSNGS/DbMwL3xAe+OwA1ty9BgF/+G5Qrca5/Hvn5KlrSBG7qgMAg6jvQaqP1OQXJ4MxkE4Wzv6P9ssfRMkItv1nG5aevRRt+9tEXw8EApKpK6ePnBb+LdSXnA4a7H6vH4c2HcKqGaui/k5NwRcKhUJJJpydw54P9oi+tmPtjtReTAqghhSFomP4TT9J9Uuqn5S3O1jbE2nQfPW3r+DpEI/GqJXfnIyIFGtjMeGuCeIv9qT3heL39hhSOdHTIGtjowxJErGkAVL0zdHmowCAp898WlQV0uvyRkejQghNIxWt6fMjKtUUAExFJmpEUSgUXeCodRDnwUyskaKGFIWic1gbC1ORifi6z+1Dw5yG6OdFIlKcncNXf/uKeC618pt93b6oSJgaSBU5R07g+ZZ8nDftPPQZ1Sfq2FglWjNR0pUSDmfn8MXSL4IPAuJyvrxzgkSoZHQsG4pM3HxQKJTMRGq+ysQaKWpIUSgZgNxGy9Xiivaei0SkHLUOwcCKRM0ajUvvvRQ3vnCjKueKhNTfJHICLxlegptfvxnDLh4WdWysKYxqpTxStIvYvRGZ7kq6d3gm/nai8O9YNhSZuPmgUCiZCXG+ytD+YtSQolAyACUbLX7Dx9k5LB61+P+3d/fRcVd1Hsc/kzRtJ30YaAu2UJpawSvqSCVlragL6wBSKxaKrkeDgi5UHnalioJudAH3hMNyFIsPoKgIC/HZIrSlntLB3YWjgq0WRh6u5WhbykOhRULbTJJJMvvH5DedzPx+M/OLyTz93q9zek7mMXfg5s7ve7/3fq82XbFJM4+ZqT9v+HP2OcUCsvHcozHvxHl63RmvG5f3ylfu4anF+F2uR8ag8Xn9P8693znDzE2oOST7S5u9XU6pYIkiEwDqi9fYNnma98qZekYgBTSAWFdMTS3F/5x7dvVkN7j37OyR0tKrz7yq9avWZ7NVXgFZpC0yrns0nvntM9r9u93j9n65smebLDh0Vo9bEPjs759VV7hLT//q6YL3yK/kVwoZg8bn+beRc7+T5W2ePHrZaktri2bOnzlqP57TT4v+To++CwC1ymvv9sCBgYLl0I2AQApoANGOqM7+wdmeRSekzAWf2wb3VG8qu4fKdSZpAtLx8c/Htfnzm8f1PQuUiIWGB4c9MwhOaXQ3+f99miY1kTEIgHIyneFZYZ1yzSk69cunHlpiGsr8je1/br8OvHBg1OujHVHNOHqG6++LtEWKHvwLALXKa+/2eFb/rRUEUkCDiHZEdeXeK7XyrpUFleicCz6v5UnOHipnJmn6vOmSpElTJ01IxbDB/vGv2ufIz7q5FQWQilft89xnNZIhmHLYFEnS9HnTdebXz+RiNwBG/W3kZDolac3CNbq26Vp996Tvavaxs/XOq96pWFdMzVObs9WrhlPDemHbCwX98NRrTy34XSznA1DvylkO3QgIpIAGE+2Iyrz/0CGxM46ekV0eVGwJmjNLFO2IqnVOq6TMBd3AgQHXUs9/j8G+wXE/R8rhlXXLnwXzOpBXKp59iHZEFbsuc5H7yT98UiddctJ4Nh81LNoR1bQjp+n173u9Vu9YLUkFQfu9F92rR+94NFOcom908Yn0ULqgH+ZPKHBmFIBGUM5y6EZAIAU0oLZT2iRJcxfP1Wd2fyZ7UVZsljt3lujFxIuSpOTLyaJZnbEa6h+asIxUubNgXgfySjn7rNrc91lNPWyqJOmBLz2gZx95djybjxrXOqdVvXt7JbkH7YPJQd3ziXs8C5bk9sNEd0LrV60veD0A1LvxKPxUDybmSgZAVU09PHOh/8K2F3Rt07WKLIhksykbL9+o5L5kwWtKzRI5WZ3xmCkf7B+ckHOkpMzncLuILSh/fvRMLblkiWYc5b5HJdoR9fys4cMze9H++L0/atbrZrmWUEfjSXQntPu3u5XqTWnNwjWewVJ6OJ3Zo+ey1S7UFMouoy2WPSUjBaCeOWPYff92n/r+1qeZ82fqtOtPa7ixjYwU0ID+vO5QSfP8jNKym5Z57qEqZbzWNp/7w3P1jqveUfqJY1DuLNicN8zR8puXa9axs3z/jkWnLdJVf7tKkvseKzQeZ++dE/iULJGflmvBk/RQOvu3GJQ9BACCKdoR1fKbl0uSztt0XsMFURKBFNBwEt0JPfHzJwruT/WmdPf5d0uS2v6pTaGmkOuytWLL98ZrbfP8pfN15JuOHJf3yucsy3MyTa1HtLruOUkPpzU8OKx02rtCn5fHf/K4boneIkl68LoHG66cKwq5ZY9KSmcyUPmcrFNQ9hAACC5nz7WzJLrRsLQPaDDxzrjrkiLp0Gz43BPnauYxM7Mb5h3OrLub8VrbnOhOaOPqzPLC3CWH46nYsjyHXWf1k7N/olVbV2neifPKfu9Ed0L3XnRvdi9L39/6sv/NGnG2DRljyRK1TGtR6qB78NWzq0cr71w5KsslNeYeAgDBtfepvZp6+FTdfsrtE/adX01kpIAGU+qCL9Wb0vNbn9eUGVMKHvOadQ81hcalkpgTqCX3TkwRCz+KVe0rJt4ZLygI0IhnY2A0v1mippYmzyDKeb9SRU0AoJ4luhPafNVm9f2tL/udv/a8tbphzg0Ns5KDjBTQYLyKLeQaTA5q8ozCw/K8grD0cHpcLu4qubk+0Z3Quk+uU+pgSpG2wlmwYlX7imFfSzDFumJa+9G1ntleSdkCE5G2iAYODLgWdcl9P6m87CkA1COvydnkvuSh1S9vqHCjxhkZKaDBuBVbcLP3yb0FM0Jes+4zjnavbJcv0Z3IHk7qdvZUpYKQbGGAg4cKA+RnvsaakWJfSzBFO6JacvES1wISUiZ4OnPNmfrUXz6l1TtWZ44O8BCeHSZ4AtDwin23N8pKDgIpoME4y4VK6XulryC48Kp4d/p/nV7y/TZcukFrP7p21OGk+e9fqSCknEN5x5qRCsrZGCi0/OblWnnnyuw5YjOPyZTQj7RF1LOrR/EvxPX9k78vqUifDknLblpWqSYDQNWU+m4vWf20DhBIAQ2o3NnuVG9KGy/fOOp1uXs2wrPDaprUpLUfXeuaYXIkuhPa8u0tBcuenEqBzutiXbGCg3gnIgjxzHzlDNpHvPEInfy5kxWeFfb13s5/IyeTFZ4TZl9LgEQ7ojrjxjMkSUtXL9W227dlJw9SvSn1vtirRHfCPTMckpZcvIS+AiAQSq6QCUm7N+6uXIMmAIEU0KDCs8sLEJL7kqMCpGhHVKt3rNbKO1dqMDmo/lf7SxaGKKdSoHMI6fJblmv63OkTurm+WDbAaf+8t87T6Tecni3N6ke0I6pLHrtEkvTeb76XC+OAeenxlyRJm67YVFB4JD2c1sbLN7oWklh558rsmSoA0OiyE4+TPNZEpyX7LVvZRo0zik0ADWrZTct0zyfu0dDAUMnnuhV78Foe55xFlfv8cioFOr9j8QWLtfiCxeV+jDHxLAyQPvRZB/sGlUqmNDUy1fWsn1KGB0eWBnIgb6AkuhN65FuPFH2OMzlBIQkAQRftiOrpXz2tx+56zPXx5B7v/aT1gCsAoEFFO6JacduKzIx4CW6BkGcFv5wMk6OcPU7O+/U806Mt39miA3sOlHzNWEU7op4ZMqcd227fphtm3TDmdjx656OSCKSCJt4Z11Bf6cmJ3CWzABBkSy5d4rmMPvwaf8vraw1XAEADc5bpXZ2+Wks/vdTzeW6BULHgKL9ww3HvPa5kW5z32/PYHm24eMOElwv3CiCddqSHM5GW32ITjr1P7JUkhUL+s1moX+X22/wlswAQRInuhH7x4V+4VjJtaW2RucxUoVXjh0AKCAhnz1R+uW+vYg+lNonmXlBuv2970d+d+zuckuSTpxWeYzWeSlXXc6r2jWVZX6I7oWd+84wkacNlG7hgDhA/FSYbobQvAIyVcxSJW3U+Z4/0/GXzq9Cy8UMgBQRE/6v9amppUnoonQ0eihV7yK9Oly/3grLoLH1IOuH8E7K/w9l3Vc5ZV38Pp/3Nk5slFX7WsZ4j5Xwx9L3SJ0nav3u/ZxEONJ5yz2mTOKQZQLB5HcgbaYto9Y7VDbGHlEAKCIBEd0IPr3lYw6lMFiY9nFbz5GbFumJFB7JoR1Tn3HFONhhx5Gexis7Sp0dnrAYODmTfY6JFO6Jq+8c2zV86X7GumOKd8exhwc8+8qwk/0v7yjmjCo3LCdCbJmf6TaQtosnT3bOrHNIMIMg8jyJpoEkmAikgADZevrGget/QwFBZG+IXvnuhmlpGhgqPkuWxrpgmhb2LgOYOmpXKSDmmHj5Vr+x85dDygpFS7k/e/aSOP/f4gnOtSgnCFwOKi3ZEtejdizTnDXN00SMXafktyzmkGQDyeE0m5U/O1jMCKSAAkvvcy4t63Z9r/7P7s/ualn56qWs6PtoR1ZlfP9PzPSILItpw6QZ9edKXtfnKzQo1h3T/lff7+ARjN/XwqTq452BBFmmob0jPbXnO94Du9cVA9iFYWo9o1d6n9uorr/mKjlt+XMGZURzSDCDovJZCDw8OZ1eH1PuBvJwjBaCoXQ/uyv689TtbddSJR7leILZf2K7J4clat2rdqKClpbVFs46dpS23bMnelx5KZ29P9AGlRy05Sn+49Q+uj/Xs6lE6nfZVeS/WFXP9jGQfgmXG0TOyP7e0tnBmFADkccbEeGd8VMEJZ49yz84eJboSWvTaRXU7fpKRAgLAqdhX7v2ORHdi1N6f1MFU0cIKzv4Rp/T4lMOm6Kxbz9KO/9nh+vytt24to/Vjl+hOKP6FInuXPM6aKmbUZyT7EEiJ7oT+8N1DwfmNR99IsREAcBHtiCrWFfMs7DTUN1TXe4wJpIAAWHbTskP7nEY0tTRp2U3Lir4u3hnXYHJw1H1ehRX2bd+nm990s1qPbFWsK6ZIW0T9Pf2Kd8azs0/5vO4fD051vVLLF8dyDlT2fK7hqxum8hDKk+hO6Jcf/+WofpXcl9Q9n7iHYAoA8jjfxcW+7+t5jzGBFBAA0Y6ozv7B2aOyKGf/4OySAYBnYQWXMyH6X+3XS0+8pKd/9XRBYYdiJuri06vs6iicpQuf4p3xbPXLXEMD9T2rCgAToZzv4nreY8weKSAgxrKHI7Ig4h4IhaQNl27Q9vu2q2dXjyILIlp8wWJJ0mN3PVY6gMkR74xPSEanrBmudCaQI6OEchXrV/U8qwoAE6GccbGe9xiTkQLgKdYVc8/apKUt394yKuv00PUPSZJ6X+r19Tsm6uKz3BkuDtOFH8X6VT3PqgLARCg6LoakBR9YUNeTmQRSADxFO6LeBRny7h/qz5xTNe3Iaa5PDzW5r6ObqItPzyAwD4fpwo9YV6xgv6Gk7AHXAIBDvEqgS5LS0ksPvVTXk5kEUgCKcirwlevkz53sOmiGJhVGNRNZNrxoEJiHJVkol7PfMLfiZXh2WCtuW1HXs6oAMBHyK92GZ4dHTUYlX0jW9coQ9kgBKMrt3CSF5BqkRNoiOvmKkzVj7gyt++S67EG+kjQ8MKymliZNmTlFyZeTiiyIKNYVm9CLz0ibxx6vPOFZxcvAA7k4MwoAypc7Zq5ZuKagmq6zMqQex1UyUgCKcmaTps+bLklqndOqJRcvKcg65WeX3ApODKeGNXn65IqVDS+6pCDHwP6Bup0NAwCgXnhWA67TlSEEUgBKinZEdcrVp0iSevf2avt923XC+Sdk9yBNmztNJ5x/guL/HteBFw5k9hx5LKur5GCZf0CwF0pXAwAw8bxWgNTrypCaC6SMMf9pjLkm5/Ypxph9xphtI/9+UMXmAYGU6E5o02c2ZW/37OzRo3c8qskzJkuSVty2Qke88Qj17OpRqDlUNFiqdGUz5/DcUsFUvc6GAQCA6qiZQMoYEzHGfF/SFXkPLZH0FWvt4pF/H69C84BAcztQL9Wb0mDvoKRMpb7B/szPk6ZMKhosVauyWakqfpSuBgBgYiVfTvq6v9bVTCAlaYWk7ZK+mnf/SZLOMMY8Zoy51xhzTOWbBgSbV7ZmeHBYc46fo5+e+1Pd/9n7JUlP3v2kZ4loSdp4+caq7EcqVcWP0tUAAEwsr0nLep3MrJlAylr739ba6yUN5T30iqRvWGvfIuk+ST+ueOOAgPMa4EItIe19cu+oynj3XXqfJGnKzCmur0nuq16pU6/lfeHZ4bqsFgQAQD1xKwI1kUehTLRQOl3mQSvjxBjzQUlfy7v7KWvtaSOPXyNJ1tprPF7/iqQ2a23JDQ1bt25dKOmvf0dzAUjavXG3El0JDfUdmucITQopPeg+foTnhpXckyyaAQrPDSu2vrIDp9vnaJ7arGhnVPOXza9oWwAACKLdG3fLfssquSep8GvCMpeZWvoOfm17e/uOcp9c8XOkrLU/k/Szcp5rjGmS9AVJ11trczNVg35+55vf/GZNmeI+O15JW7duVXt7e7WbgTpTC/2mvb1di167SOsvWa+B/QOKtEU0cGCg4CwIR3JP5pyoYmc4JfckK/65nM8R74yrZ1dPRc6yqqZa6DuoP/QbjAX9BuVqb2+Xvpj5uVb6TX9/v/70pz/5fl1NH8hrrR02xpyjzN6pnxpjPibpYWvtwSo3DQicaEdUr+x8RQ90PqDLnrxM1027zvO5ToCy9ry1RZ9TDRymCgAAxkPN7JEq4nxJq40xj0v6uKQLq9weILDCszPnPCRfThYNhI5773GKdkSzzy8QorgDAACobzWXkcrfG2WtfVzSydVpDYBcM+bN0GELD1OqN1U04/TH7/9RC96xQMtuWqZ1q9aNLp0ekpZcvISsEAAAqGs1F0gBqF0D+weUTqf1TfNNRY7xzkgNDQwp3hnX6h2rJSkwe5IAAEBwEEgBKEuiOzEqu+R1tpTDeZw9SQAAoBHVwx4pADUg3hkfvUSvhHo9XA8AAKAcBFIAylIqA5WreXIzxSQAAEBDI5ACUJaiGabQoR/Ds8NacdsKlvMBAICGRiAFoCyxrphaWlvcH0xLLa0tWnnXSl2590qCKAAA0PAIpACUJdoR1Vm3nuU5aqR6U4p3xivbKAAAgCohkALgSygU8nzMzz4qAACAekYgBaBs8c640kNpz8ep1AcAAIKCQApA2Xp2emecWlpbqNQHAAACg0AKQFkS3YlR1flyhZpDOuvWsygyAQAAAoNACkBZ4p1xyW1VX0g6545zCKIAAECgEEgBKItnIYm0CKIAAEDgEEgBKItXIYlIGwUmAABA8BBIASiL14G8FJgAAABBRCAFoCzOgbyRtsioohMs6wMAAEFEIAWgbNGOqFbvWK0zvnpG9r41C9dkKvoBAAAECIEUAF8S3Qn9+ou/zt7u2dmjdavWEUwBAIBAIZAC4Eu8M65Ub2rUfaneVKY8OgAAQEAQSAHwxasMumd5dAAAgAZEIAXAF88y6B73AwAANCICKQC+uJVBb2ltoQw6AAAIlEnVbgCA+uKUO493xtWzq0eRBRHFumKUQQcAAIFCIAXAt2hHlMAJAAAEGkv7AAAAAMAnAikAAAAA8IlACgAAAAB8IpACAAAAAJ8IpAAAAADAJwIpAAAAAPCJQAoAAAAAfCKQAgAAAACfCKQAAAAAwCcCKQAAAADwiUAKAAAAAHyaVO0GTLBmSRoYGKh2O7L6+/ur3QTUIfoNxoq+g7Gg32As6DcYi1roNzmxQrOf14XS6fT4t6ZGbN269Z2SHqx2OwAAAADUvHe1t7c/VO6TGz0j9XtJ75L0vKShKrcFAAAAQO1pljRPmdihbA2dkQIAAACAiUCxCQAAAADwiUAKAAAAAHwikAIAAAAAnwikAAAAAMAnAikAAAAA8IlACgAAAAB8IpACAAAAAJ8a/UDemmGM+YikL0pqkbTGWvutKjcJNcQYc7Wkfx65ucFae6Ux5jRJN0oKS/qJtfaLI89dLOl7kmZK+j9JF1trB6vQbNQIY8xXJM2x1l7g1T+MMQsk3SXpSElWUoe19kDVGo2qMcacJelqSdMkbbLWXs54g1KMMedJ+sLIzY3W2s8y3sCLMWampN9Iep+1doffMaZe+hAZqQowxhwtqUvSOyUtlrTKGPPG6rYKtWJkcDlD0luV6R/txpgPS7pN0gpJx0s6yRizbOQld0n6V2vt6yWFJF1U+VajVhhjYpLOz7nLq3/cLOlma+0bJG2R9KWKNhQ1wRizSNK3JZ0t6S2SThwZWxhv4MkY0yrp65JOkXSCpHeNfHcx3qCAMeZtkh6S9PqR22H5H2Pqog8RSFXGaZIesNa+bK09KOnnkj5Q5Tahdjwv6Qpr7YC1NiXpSWUGn+3W2r+OzP7eJemDxpg2SWFr7e9GXnu7pA9Wo9GoPmPMLGUmaa4bue3aP4wxLZL+UZmxJ3t/RRuLWnGOMrPBu0fGmw9J6hXjDYprVuaacZoyK2taJKXEeAN3F0m6TNJzI7f/QT7GmHrqQyztq4yjlLlYdjyvTKcCZK193PnZGHOcMkv8vqHCPjNf7n1pfgWaidr0HUmdko4Zue3VP+ZIejVnSRb904l8MQAAA19JREFUJriOlTRgjLlX0gJJ6yU9LsYbFGGt3W+M+ZKkp5QJvP9X0oAYb+DCWnuhJBljnLu8xpK6/84iI1UZTZLSObdDkoar1BbUKGPMmyTdL+lzkv4i9z5DX4IkyRhzoaRnrLXxnLu9+kf+/RL9JqgmKbNK4l8kvV3S2yQtEuMNijDGvEXSJyS1KXPxO6TMknTGG5Sj3O+muutDBFKVsVvSvJzbc3Uo3QnIGPMOSXFJn7fW3iHvPkNfguNDks4wxmyT9GVJ75d0odz7x4uSIsaY5pH754l+E1QvSNpsrX3JWpuUdLcygRXjDYp5j6S4tfZFa22/MkutThXjDcrj95qmbvoQgVRlbJYUM8YcMbJh81xJv6pym1AjjDHHSPqlpI9Ya388cvfDmYfMsSMDyUeUqZK0U1LfSOAlSR+VtLHijUbVWWtPt9a+2Vq7WNJ/SLrXWvtxufSPkb0wDyoTfEnSx0S/Car1kt5jjDlsZGxZpsw+BMYbFPOopNOMMdOMMSFJZymzvI/xBuXwdU1TT32IQKoCrLXPKrOP4deStkn6obX2keq2CjXks5KmSrrRGLNtJMNwwci/X0h6Qpl16c6myw5JXzPGPCVpujKVlACHV/+4VJmKoU9IepcyxzEgYKy1D0u6QZmKWk9I2inpFjHeoAhr7SZJP5K0VdJjyhSbuF6MNyiDtbZP/seYuuhDoXQ6fwkiAAAAAKAYMlIAAAAA4BOBFAAAAAD4RCAFAAAAAD4RSAEAAACATwRSAAAAAODTpGo3AACASjDGLJT0V0nHWWufrnJzAAB1jowUAAAAAPhEIAUAAAAAPhFIAQACyRizyhhzwBiztNptAQDUH/ZIAQACxxjzfklfk7TCWvu7arcHAFB/yEgBAILm7ZK6JX3MWru52o0BANQnMlIAgKD5rjLffzur3RAAQP0iIwUACJqrJf1I0s3GGL4HAQBjwhcIACBofiHpKknHS7qoym0BANQpAikAQOBYa5+T1CXpOmPMnGq3BwBQfwikAABB9TVJL0u6odoNAQDUn1A6na52GwAAAACgrpCRAgAAAACfCKQAAAAAwCcCKQAAAADwiUAKAAAAAHwikAIAAAAAnwikAAAAAMAnAikAAAAA8IlACgAAAAB8IpACAAAAAJ/+H8Lxb4YqfzIHAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"exponential_w = exp_walk(n=1000)\n",
"exp_scaled = scaled_walk(exponential_w)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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