mirror of
https://github.com/ImperialCollegeLondon/ReCoDE_MCMCFF.git
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169 lines
170 KiB
Plaintext
169 lines
170 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"id": "5ac56056-ca33-4f13-8e36-564b94144c1e",
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"metadata": {
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"tags": []
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},
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"source": [
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"<h1 align=\"center\">Markov Chain Monte Carlo for fun and profit</h1>\n",
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"<h1 align=\"center\"> 🎲 ⛓️ 👉 🧪 </h1>"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "eb5d773e-4cc0-48ae-bb71-7ece7ab5f936",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from numba import jit\n",
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"\n",
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"# This loads some custom styles for matplotlib\n",
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"import json, matplotlib\n",
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"\n",
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"with open(\"assets/matplotlibrc.json\") as f:\n",
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" matplotlib.rcParams.update(json.load(f))\n",
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"\n",
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"np.random.seed(\n",
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" 42\n",
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") # This makes our random numbers reproducable when the notebook is rerun in order"
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]
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},
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{
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"cell_type": "markdown",
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"id": "fd49fb0b-71b6-492f-9f46-082ad3bc3905",
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"metadata": {},
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"source": [
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"## Making some measurments \n",
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"\n",
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"So now that we have the ability to simulate our system lets do a little exploration. First let's take three temperatures at each we'll do 10 runs and see how the systems evolve. I'll also tack on a little histogram at the right hand side of where the systens spent their time."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "e26963ee-dd2b-47d3-b088-4e1068fac6b0",
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"metadata": {},
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"outputs": [],
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"source": [
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"from MCFF.mcmc import mcmc_generator\n",
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"\n",
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"### The measurement we will make ###\n",
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"def average_color(state):\n",
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" return np.mean(state)\n",
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"\n",
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"\n",
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"### Simulation Inputs ###\n",
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"N = 20 # Use an NxN system\n",
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"Ts = [10, 4.5, 3] # What temperatures to use\n",
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"steps = 200 # How many times to sample the state\n",
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"stepsize = N**2 # How many individual monte carlo flips to do in between each sample\n",
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"N_repeats = 10 # How many times to repeat each run at fixed temperature\n",
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"initial_state = np.ones(shape=(N, N)) # the intial state to use\n",
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"flips = (\n",
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" np.arange(steps) * stepsize\n",
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") # Use this to plot the data in terms of individual flip attemps\n",
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"\n",
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"### Simulation Code ###\n",
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"average_color_data = np.array(\n",
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" [\n",
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" [\n",
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" [\n",
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" average_color(s)\n",
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" for s in mcmc_generator(\n",
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" initial_state, steps=steps, stepsize=stepsize, T=T\n",
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" )\n",
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" ]\n",
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" for _ in range(N_repeats)\n",
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" ]\n",
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" for T in Ts\n",
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" ]\n",
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")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"id": "ce10544d-85fe-49ee-8b4a-63ffd4982ed2",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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2bUOv11NVVfVX/ZDdrD26enp6PrbSXHFxMXFxcbi6un7kfT5NcNjT00NwcDCDg4P4+voyOjr6sVUYR0dHGR0dpby8HLPZTGdnJ9PT09jtdurr69m/fz+HDx/+TGYUBwYGOH36NKtWrWLLli3yY36cK1eu4OfnR0hICMHBwUiSJKeCfhoTExO4ubmhUCjw9PS8pjPa3d3Nnj17/qrjjoyMkJ2dzdDQ0F/191evXr2pKXw2m42GhgYSExP/pkVPbiXzwbiTkxMA6enplJeX/9Ud6J6eHtrb2z+r5n3IyMgInp6exMbG0tnZ+ZlWE50/9p+mY/r4+Hzqtbn9/f3s3r37Y79L6urq8Pb2/kyqVhsMhls6K2BycpJTp06xYsUKQkJCrrlNqVQSGBj4Nwlua2pqOH369Gd6zLKyMlpbW2lubv5Mj/u3VFFRwaVLl7Db7X/197UgCP9YRHB4k/j7+5OUlMTZY4eIUc19If+xsI/169fz/PPPc/nyZdzd3enr68Pb2xsPD4+/eC+6zs5ODh069JkENFeuXOHdd9/l+PHjXLx48WNHtO12O1euXKGwsPC6Hbbh4WG6u7tZsGDBxz6mp6fnnw3qPkpHRwdDQ0OcPXuWrKwsAgMDP7YCY0FBAWNjYwQFBclrXI4fP86BAwfo7+/n9ttvJz09nRMnTnyqmaT29nYuXLjAli1bCAoKwtnZmdjYWMrLy5mdnb3u3wwPD9Pa2sr69esBCAoKoru7G29v7089szAxMSEH6AEBAdd0It977z2ys7Opqan5i49bW1uLv78/LS0tf/HfTk5OYrPZ6OzsxGQyXXObxWL5i4IVu92OxWIB5l7HD87SSpJEV1cX2dnZHD58+JrjzhdHCgsL+5sGh4ODgxgMhr/Z8f8S87OG81xdXfH19f2rA5SWlhZyc3P/JrMRExMTuLi4oFKpUKvVxMfHX1MsprGx8VPNgs8XoykvL7/muL6+vp+6A52Xl4dGo+H8+fOYTCZOnDhxze1ms5ne3l5WrFjxqYPDmZkZtFotzs7OH3meWa1WLl68SFZW1qfOHJAkiaqqqk/8nlutVk6fPs3SpUsJDQ297n2ul1o6MzNDdXU1hw4d+qv2aB0dHaWqqorh4eG/evCjrq7umuc5OjpKSUkJs7Oz5OXl/VXHvNGysrIYHBzk7rvvJioq6rqDjSdOnKCoqOgzn2UVBOHWJYLDm+jRRx/F3d2dO6OdwG6jfEzN98724B+7AKPRyIYNG7h48SK+vr74+/tTWVn5iX+8rVYreXl5REdHfyZ7RXV2dnL33XezevVqQkNDycrKktf6/Gk1uaamJnx8fEhJSaG4uBiTySRvaC9JEleuXGHFihWoVKqPfUwvLy9qa2vZu3evvPbmz82U2e12GhoaOH78OHq9noceeggPDw+6u7s/cjR3cHCQCxcusHLlSpYuXUpPTw8lJSVUVlaydu1a1q1bh5ubGxEREaxbt47MzMy/KmCoq6ujqKiI7du34+XlJV8/X6X29ddf58SJE9cEaHa7nUuXLuHr6yt3njw9PZmcnMTNze1TB4dGoxE3NzdgbsBi/rEHBwdpbW3l3nvv5cyZM3/Rmi6z2UxXVxcbNmygra3tL143NV+IKSEh4ZrAdL465cmTJ+WA76PMnwcHDhxg3759ZGdnc/78eRoaGigtLWV6epp9+/ZRV1dHTEwMPj4+1zxWVVUVMTExVFRUcOXKFTo7Oz/RIEVhYeF1O+EjIyOUlpaSk5PDiRMn5PN4vjrxpzUwMPCpO6Tz6w0/KDg4+K+etRkcHMTf3/+vGlz4JMf28fGRLyclJdHY2IjFYmF8fJyLFy/S1dX1Vx9/Pjisr6+nsrJSfu99fX0/1cxhd3c3/f39TE5OolAoOH36NL29vdecM83NzYSHhwMwNjb2qTrlo6OjeHp6EhgYSG9v74duNxgMHDlyBFdXV5ydncnOzqa7u5usrCw6Ojo+8vfGarVe97u4qamJPXv2cOTIkY8d9MjLy2N6elpeRz3/fK8nODiYnp4e7HY7nZ2dZGVlcfjwYaanp0lMTPyLt12x2WycP3+eqKgoWlpa/qpg32AwcPXqVc6fP48kSdjtds6fP4/dbmfdunXycpCbpbm5mfz8/I+9T2dnJ1arlc2bN6PVaj80OAhzn7PBwUEsFguHDh361JkqgiD8fRDB4U3k7e3NkiVL0DFD5Eg+KruZRqOG37d6MJOwnfHJuTSvI0eO8OKLL7J//36efPJJ2tra/uyxy8vLCQsLIyMj41MHh5OTk2i1WnQ6HXq9nsjISDZu3EhWVhZZWVmcOnWK5uZmDh8+zLlz5ygtLSU9PZ2kpCS6urrk661WK5cuXcLV1ZXg4OA/+7hTU1M0Njai0WgYHx+nra2NAwcOXLfTJ0kSTU1NHDhwgN/85je4uLiwYcMGVCoVy5YtIywsjFdffZWysrJr/s5ut/Pqq6+yfPlyUlNTyc/PR6FQEBsbywMPPPChzeH9/f1Zu3atnPJot9s/csbvg4qLi2lsbOTOO+/8UCrtfOc7ODiY2NhY8vLyOHbsGLt37+aHP/whVVVVbNu27Zq/CQwMZGJigpmZmU/VeZxPK4W5jm9bWxstLS2cPn2a+Ph4PD09cXNz48KFC594YKKpqYnIyEhcXFxwd3f/xIH09PQ0kiTR0dFBWFgYiYmJcod/ZmaGkydPkpKSQkhICGfOnKGtre26nZXm5mZefPFFent7WbVqFRMTE+Tn57Np0ya2b99Od3c3Z8+eJTw8nC1bthAWFsbixYuprq5mZmaGvr4+HB0dqa6uJiAgADc3N2pqati/f//Hpi6Oj49TW1tLfn4+kiRx4sQJOa3ywoULqNVqIiIiCA4Opr29ndHRUSYmJv5sgD80NPSx61IHBwc5f/48HR0d8iDMR/m4LILrVaud75j/qT933lmtVsxmMytXrqSmpuavmv2fZzKZKCsru+b8m08XnydJEi0tLeTn51NTU0NnZyfl5eWf+DHa29uvGQAZHBxEoVDg7OxMXFycvAbZ3d2diYmJT/RZkCTpQzPfhYWFaLVaFixYgJOTEwUFBTg7O1/zGtfX1xMYGMixY8dQq9WfaubaYDDg4eFBQEDAh4LD7u5uTp8+zbJly0hPT2fFihU4Ojry0ksvERAQQFNTE3v37v3QuSdJEhcuXCArK+ua23p7ezl06BCenp5ERERw+vTp62YOjI+P88c//pGjR4/S0dHB4sWLP/Y5aLVaNBoNu3fvpqGhgbi4OB588EEyMjKIiYn5i4P1goICgoODmZ2dRalU/kW/j1VVVUiSRHNzM0uWLEGj0ZCXl0dVVRW9vb0sXryYRYsW4eHh8aF16x9ldnb2r/4Ony8oNm9+7WZTUxMtLS0f+7mrqKhg4cKF8uX5vYXnB/OsVit79uyRB0rWr19PTk7Odb+vTCaTfK7PVyCfmpqivLz8b5LS/OdSyCVJ4uDBg3LgX1RU9Km+gwThn40IDm+ybdu2UV1dza70YBb1HmNLpA6bXeJg1Shv9XgzadeiVCpJSEjghRdeIC4ujl/84hdcuXIFmBtZzs/PJzs7W/6BMRgMNDc3k56ejouLCzqd7lN1MPr7+3FwcLjmR8jX15fVq1dz/vx52tvb2b9/P6tWraK1tVWejVKpVCiVSrmj9frrr+Pk5PShwjN/qrKykv/4j//gV7/6FR4eHnR2dtLT00N2djYmk4lf/epXnDhxgtLSUlpbWxkaGuLw4cN0dXWRnJxMfHw8jo6O1/wYeHt74+vry8svv0xtba18fU5ODvX19fj7+2M2m2lra+PBBx9kZGSElJQUTCbTNfeHuQBxZGQEm81GeXk558+f/9jn097eTm9vL9u3b8fR0fFDtxUWFvL5z38evV5PTU0NU1NTdHZ2otFouP/++3n66aeJioqSA6fZ2Vk5tXQ+9fav9cG00pmZGZqamjh06BB1dXWYzWZaW1vRaufOwbNnz36iY9bW1sql56Oioj5UmOajOtbnz5+npaVFnu1QKBQEBwdTUlLCqVOnSExMJC4ujkWLFqFUKnnhhRfIysqit7eX+vp6RkZGsNvtvPLKKwCsW7eOoaEhli1bxuc+9zmysrKYnp6WP3MfDAacnJxITEyktLSUqqoqHB0dsVgspKWlsWjRIhISEoiNjf3YjmR1dTUZGRmYzWZ5DU9BQQEDAwNoNBpSU1MJDQ0lIiKC/v5+6uvrSUtL+9j3b2JiguzsbBoaGsjLy/vQLOzw8DDnzp1jw4YNBAQEfOw+fAaDgT179nDlypUPdUZnZmaw2+3odLprrp+//KfZAVlZWRw5cuQjZ5SHh4fx8vLCycmJ2NjYv7pgzHzaYXFxMRcvXpSf/9DQkBwc2u12jhw5wuzsLAcPHiQ/P5+IiIgPdQglSaKtre26ncTi4mKKi4vl56rRaOjq6iIqKoqUlBSampowmUwoFAo8PDyuCcJNJtN1O8zNzc0cPHhQ/t5sa2tjZmZGrgY7vy56fHxcfn2Gh4dRKpX09PQQGhqK0Wj8VKmlo6OjeHh44O/vf81vwOzsLLm5uWzbtu2agTovLy98fX1paGjA3d2djIwMiouLr+mM5+fno1KpuP/++6mpqaGxsZGWlhYuX75MeHg469evZ2JigjvvvJOSkpJrXhubzcahQ4cwGo2cPXuW2NhY1Orr76jV09PDuXPnePfdd5mYmCAxMZHNmzcTGhoqVzNVq9W4uLhck5nycfr7++nv72fJkiV0dXWRkZHxic/N8fFx8vLy6OrqoqWlhejoaNauXcvQ0BCvvPIKfn5+pKWlAbB27Vpyc3M/0XHPnTvHxYsXP/Y+k5OTNDc3f+hz2NzczJkzZ4C5AmAnTpwgNjaWbdu2ERQU9JHnzuDgIDab7ZpMAaVSiYeHByMjIxgMBg4ePMjExASPPfYYtbW1+Pj4kJycfN11xJcvX+a9997jwIEDvPTSS/z+97/n+PHjWCwWLly48JlWEx4bG2Pv3r0fG+yNjY1hNps5d+4ck5OTNDY2otVqP7M2CMI/OrHP4U2m1+tZtGgRZrOZxclxNBe+w6NJyzg55kfLmIVO9RJ2BRhx0E7h5+fHzp07KSoq4ujRo5SXlxMQEEBsbCwNDQ288soreHp6UlxczDPPPINGowEgLi6OxsbGa8qyl5WVkZycLN/n4/T29tLS0oKvry8ZGRny9Wazma1bt5KRkUF5eTldXV04OTmh1Wqpq6uTt6PQ6/UUFhZis9nQ6XQYDAa2bNnyoceZ38Ovp6eHmpoaHn/8ccrLy7l69SoTExP4+vrywAMP0NTUhJubG1qtlr6+PkpLS8nOzuYXv/gFV69eRafTkZKSQmlpKcuWLWNmZoaysjIeeeQR+vv7efHFF/nCF76AxWKRO08dHR3odDqioqLw9vbGYrEwPDzMsmXLyMrKYnZ2Vq58qlQq8fX1pb29nfr6ermS6XyH5YPsdjuFhYVs2rRJ7gR1dnbS1dVFb28vSqWS22+/HVdX12v2VvzT4xkMBi5duoRCoaCwsJC1a9dSVlZGREQEw8PD16TYfdDMzAwqlQqNRsPs7CySJF0ToBqNRlxdXTGbzZw5c4aVK1dy4cIFurq6+PKXv4zFYiEzMxO73U5+fj4pKSkEBQV97Lni7OyMu7s7MLevZ2FhIVarleHhYaanpzGbzdx9993ytiUw16krLy8nNzcXlUrFD37wA9zc3PDy8uK9995jy5YtpKeny6/f5OQkCQkJnDlzBo1GQ0BAAF1dXZhMJnx9fYmKiqK3t5eenh4yMjLw8fEhKCiI733vezz88MMEBgbK6/10Oh2XLl1idHSUnJwclixZglar5e6770ahUODn50d/fz+JiYlkZmaSkpLC5OQkLi4u13wWOjo6WLp0KS4uLvz617/mRz/6EeXl5WRmZuLr64vBYMDFxYWcnByqq6sxGo08+OCDNDY2fuh48+/dmTNnWLVqFYGBgeTk5JCVlcXixYuZnZ2lt7eXxsZGNm7cKK+ntNlsLFmy5EODEDA36LJy5Uq5Uu6mTZvkx/zT9YYfNJ9aGhcXJ58zBoOBVatWcfLkSRITE0lISLim8zU0NCSfk6mpqRw8eJDk5OTrtut6JElicnKSvLw8hoeHcXR0pLm5GYVCwZo1azAYDNhsNhobG7ly5Qqtra0sX76ckydPUl1dzb/927/R3d1NdXU1aWlp8ufHZrNRU1PD7bffTl1dHSEhIajVarq7u2loaCAwMFD+fLe1tbFz5060Wi3JycmUlZWxYsUKObV0PjW8oqKCtrY2HnjggWs+s1VVVYSEhJCXl8fatWspLi5Go9GQkpKCSqXCxcUFq9XK9u3b+elPfypnA0RFRVFVVcV9993HW2+9Jc9S/TXGxsZISkpCrVbj6urK2NgYHh4e5Ofn4+7uTldXF25ubiiVSsxmM5WVlaxYsYLu7m50Op08+FZVVcWSJUuorq5mZGSEbdu2oVKpuP322/n973+PVqvlscce4+TJkyxcuJB9+/ah0WhYuXIlubm53HXXXfIWTf39/dhsNnx8fGhubiY1NfVD351ms5mcnBxWr17NmjVrmJyc5MKFC9edZQwICKCvr08exFu5cuVHvh5lZWUsWbKEsbExLBYLTk5ONDU1faK9IHt7e/H39+fixYt4eXnJAydhYWEMDg6i0+nk57FgwQLefffdD81w/6mRkRFmZmaQJInGxkZiY2Ove7/CwkIsFgvl5eWMjo4SGBjIHXfcQWtrKyMjIxQWFtLZ2cmOHTtwdnYGIDQ0lK6uLiIiIj50vD+dNZw3/z06P2A6XwCtsLCQ0dFRQkJCOHfu3DXvg91uZ3BwkIcffhiTycRLL72Ei4sLDzzwAAqFAl9fX7Kysrjrrrs+ciDgL9Hd3Y1SqaSuru4j6xa0tLTQ2NhIfHw8Bw4c+Mjvtn8WN2t/xX8W/4j7SIqZw1vAjh07KC8v57HHHmPDhg2sTAjmG8kWglXjWJRa9vZ5crRDQWd3D3Fxcfj7+3P33Xej0+m455576O/vp6SkBJvNRlRUFEql8po1bREREfL6ApgLwgoKCuS0l9bWVjo6Oj40Eme1WpEkiZqaGoKCgmhubr5mxqGtrY0FCxbIKSeZmZk4OzuzY8cOqqqqKCsrY9OmTTg4OLB27Vri4+NZt24dAwMDmM1mJicn5dH0/Px8Tp06RVJSEpW9k7R4LqWqfZCQkBBSUlLIyclBrVYTHh7O0qVLaWtrIz4+nuXLlzM5OYkkSWRnZ3Pp0iUSExNZu3atnCpWWFhIcnIyAQEB+Pn58fWvf51XX32VqqoqnJ2d5SDz0qVLJCUlAXMj6G+88YbcsX/99de5ePGiPAsQHBxMVlYWCxYswNPT8yOrqtbU1BAQECAHQmNjY1y9ehU/Pz+2b9/Ovffe+7EVW2FuRurMmTMsWLCA7du3s2TJEs6fP8/U1BRarfZj0xJLSkq4dOkSMDdCffLkSaxWKwMDA3Jw2t3dzfe//305/WdiYoLo6GiCg4OJjIzE2dmZrKwsgoKC2L1798e2taqqisTERPmyWq2mra2NiYkJtmzZwiOPPEJGRsaH1n92dnYyMDCAUqnk4YcfJiUlhcDAQMxmM4888gjLly+ntraWw4cPc/XqVbZu3Sqfa52dnaxevZq2tjbOnDnDrl278Pb2prq6GoPBgLe3NzabjZ6eHh544AEyMzOpqqoiICCA3Nxcmpqa0Gq13HnnnXzta1+jtLSUVatWyZ0/Pz8/BgcHcXNzw8nJif7+fg4dOiTPxLS1tVFUVERUVBRqtZqOjg6SkpLo7u5m0aJF5Ofn09nZSUlJCRcuXMDX15f+/n6sVitarVYuLGQwGKisrKStrY2hoSE5EA0JCUGlUrF+/XoGBwf53ve+R3l5OQ4ODtxxxx3yesmNGzcyNjZ23YIg09PTcuGOFStWkJqaynvvvcfVq1cZGRmRO77X86eppbW1teTm5vLmm2/S1tbGCy+8wKFDh675m6GhIRwcHBgZGUGr1ZKYmCineU5NTcmvXX9//3XXStbW1vLLX/6S3t5e/Pz8WLZsGf7+/uTn5/Ov//qvVFVVcfXqVXp7e3F1deWJJ55g4cKFaLVa2tracHNzY8OGDWRlZcmfn9TUVHbu3ImnpyfHjx+nqKiIwsJCOjo6GB8fJykpiczMTAoKCtBqtbi7u9Pc3Cynsu/evZusrKxrKpbabDZaW1vx9PS85pzu7+9Hq9Wydu1aDAYDeXl5cvD8wZk6q9WKp6cnmzZtYnh4mKNHj9LW1kZ0dDQajYaMjAwaGxs/cpbkz6W3jo+PywM18+sOu7u76ejoYGRkhIGBAY4cOcLw8DBlZWVERkbS0NDA1NQUERERbNmyhZiYGK5cuUJXVxd1dXVs3rwZlUqFJElUVFTI5+epU6fk9d2RkZE0NzcTFBSEi4sLDQ0NNDY20tPTg9FoJDAwEGdnZ3x9fa87211ZWYmHhwc+Pj5oNBo8PDxQKpXXnWUPDAykrKyM119/nYMHD37kazE6Osr09DQhISFkZ2czMDCAyWTCYDB8or0Ue3t7WbRoEb29vddscZKfn8/jjz+Oo6MjRUVFwFwq7MKFCzl37tzHHrOiooIFCxawfv16SkpKrjvDZjQa6ejoIDk5mdtvvx0HBwfOnz9PQUGBPNOcn59/TWAIH71eeHx8nLGxMcLCwj502/xnLDIykvHxceLj4wFITEyktrYWd3d3LBbLNdsMzWcJKJVKbDYbERER+Pj4MD4+t01XWFgYYWFhXL58+WNfi3l/7pzu6elh9erV1NbWfmQ6blZWFmvXriUyMpK8vLzPpO6CIPwzEcHhLUCv17Nw4UKys7PRaDQsWbIEu8nIA/6jbPCZ+xKuJ4Rdf8jn+bcOsmLFCjo7O3F0dKStrY2TJ0+SnJzMjh07yMzMJD4+/pr1JWq1Wl7nZLPZOHr0KL29vdTU1NDa2kpxcTFtbW0cOnSI9957T/6BOn36NG+//TaFhYWEhYXJo+kw16np7+9nbGyMU6dOceDAAYaGhujp6eHq1ats3LiRrVu3yjn/UVFRbNq0iSNHjtDd3U1lZSVHjx5l7969/O53v8PR0ZFdu3ZhUuo4PRXOqEcCr3Z5YQ3LQKOZ66jZbDb6+/txc3MjPDycgoICjh07Rn9/P3feeSevvvoqUVFRrFq1CrVaTVpaGufOnWNwcJDk5GS5cxEdHc19991HQkICeXl5ODk5zaUCltXzfw/W8C/vFtLU3IKPjw+rVq3i6NGjLFq0iKmpKXnNok6no6WlhYSEBHnk+k/Nzs5SVVV1zShrW1sbiYmJREdHfyiFr6CgAJvNxuzsLO+++648olxeXs4999xDWFgYhw8fxtnZmXXr1mE0GuWZ1o9SXV1NfX09hYWFSJJEQEAAv//978nJySE7OxtnZ2cOHDjAggULePDBB1m0aBHr169nyZIl8nFdXV0xGo3o9XqampquWctltVrp7e3FZrNhNBrZvXs3TU1N8sxOVlYWiYmJuLu74+LigkKhkAtBfDAF7Ny5c6xevZrx8XEmJyfx8PDAarWiUCgICAjg7NmzxMXFsXjxYu644w4mJyfR6/Xcf//98uswv9a1paWFjo4OGhsb8fDwQKFQUF1dTWBgIKmpqcTHxxMSEkJfX59cSGJ+DZi3tzchISHyOkyYW2fW29vLhQsX8PHxobi4GKvVSm1tLZIkcfnyZfbv38/o6Citra0MDAzwwAMPUFZWRk9PD0FBQZhMJq5cuYLFYmHZsmUEBgbS1taG3W7H29uboaEhrl69ytTUFD09PRw9ehRATs+FuU6TSqXigQcewNvbm+TkZFxdXenp6cHZ2RlHR0ciIyP5xS9+wdtvv83ly5fllKoXXngBo9FIcXExZWVl1NTUMD09jbOzM5cvX6a2tvZD6w1hbnBhfHycnp4eJElCkiROnjwpB0KrV69m8eLFXLp06Zq1RUNDQ3R0dHD27FksFgtWq5UTJ05gs9koKCjg6tWrwFwQUF9ff01n02QycenSJQwGA9PT0/Jsq7u7O+Pj43h4eODh4YFKpaKkpITR0VGioqLktcmrVq1i37598vfk5cuXueeee+SiJ8uWLaOsrEzuwF64cIH4+Hg50L7vvvvkgbb6+nrWr19PYmIiarWa5557jt7eXvm5dnR0EBAQwNKlSykvL6evr4+amhqqqqpITk5GoVCwdu1ajhw5gtVqJSkpCYVCwdTUFDabjUWLFskzmJ2dnXzzm9+UqyvDXNbH/NY684aHh+WCTMeOHfvIwMZkMuHg4CDPZs1XbL548SLT09NYLBb6+/uZmJjg5Zdf5vLlyyiVSqKiokhISJDXE65atYrp6WkOHTrE0qVLcXBwkD83RqMRZ2dnHBwcMJvNFBYWsnv3biIjI+W/X758OVevXiUvL08OXtasWYPVaiU6Opqamppr1maaTCYaGxsZHx+nsLBQvj42NpbGxkbq6+vloEeSJHp7ezl58iRBQUH09/d/aBnAvIqKirkK4WfPUltbyxNPPMFtt92Gu7s7J0/++ZmVgYEBfH19cXJykovNTE5O0tLSwrJly1i/fj29vb3U1tbS2dmJWq3m5Zdfvm6ANjExwcDAAIODg0RERKDT6Vi+fLlc1Abmlhx0dHRQXl4un6d79uxhxYoVPPXUU7z22ms0NTWh1+sJCgq6Zubebrd/ZNGyiooKUlNTrztT6u7uTnV1NSEhIUiSJA8yR0dH09HRgcViISQk5Jp1//PfcTAXQLu7uxMcHHzNetP09HQ5Y2E+U2LeyMiIvLa/o6ODQ4cOfWS1W5vNxvDwMGFhYQQFBX0o6BseHqaxsRGDwUBKSgoZGRlygaDPomq7IPyzEMHhLeLBBx+krq6OwcFBurq6MBqNxMRE83/WRrBZWYWTfZphu47f1Tvxn4eKWLJsBb29vbz22mskJiaSmJiI2WzGyckJm832oeIDsbGxVFRUcPjwYdrb28nIyCAoKIi3336b1atXs27dOh566CFSU1PJycnBaDRiMplITExEo9GwZ88ejh8/zptvvklOTg61tbWYTCZKS0sJDw9nZmaGZ555Bi8vL1QqFZmZmUxMTFBcXMz4+DiZmZnMzMzIHeI333wTZ2dnlixZQnh4OEqlkvrGZj73Si52tSNuGjt2pYYfZbZR5rQIF70X69ev58KFC8zOzpKWlkZ3dzfR0dFyqsvo6Ki85gMgJiYGBwcHVq1aJY+uzndqY2NjGR0dpbCwkKiYWPLGdBR7byG7fphDlUP0eC9Go9Fw8eJFvvrVrxIaGsr09DTFxcX09PSwb98+ORhqbm6+biXA0tJSEhIS5H3jYG6W9nppPqOjo1RUVFBfX09FRQUzMzPy2o/5FNr5qoZdXV34+/vz4IMPYrVaycnJ+dBaFPjfqnw1NTX85Cc/wW6309HRgUKhwGKx0NjYSF5eHhaLhbvvvhu9Xo/FYsHFxYUVK1bIpd4nJycJDQ3FZrMRFhbG3r17mZmZoaamhgMHDlBRUcHevXv50Y9+xPT0NDqdjrNnz7Jnzx7c3d2566676OzslEd5nZyc0Ov1cge7u7tbnsXQ6/WUlZUxMDDAHXfcwR133MHJkyfx8fGhtLSUq1evyrMQsbGxKJVKHn30UU6cOMHs7CwhISEMDw8jSRJKpRKLxYLRaKSmpgY3NzcyMzPx8PCQ38/5lML5QH1sbAwXFxe5Q2ez2SguLqa9vR2VSkV7ezuZmZmEhYXR19dHd3c3FouF7du3ExERQXFxMStXrsTNzY2UlBTeeecdvL290Wg0uLu74+npycTEBAEBATg7O1NZWYmPjw9tbW309/cTFRWFTqfDy8uL6enpazo0TU1NBAUFsXLlSlpaWuQO6vxM4UsvvSQXf2ltbcXd3Z0DBw6wZ88e3NzcePrpp2lvb6e6upqlS5cSExODh4cHd999N4888oicYpqZmUl3dzejo6PU1NQwNDREdXU1+fn57N+/n+zsbIKCghgfH2diYoK0tDTMZjOXL1/GbrdjNpuxWCyMjY0RFRVFUVER7e3tSJJEfn4+Q0NDcmAyOjpKSkqKHEgMDw/z3nvvMTIyIgcdQ0NDDAwM0N/fzw9+8ANMJhNarZaCggKGhobo7u7mypUrHDlyRP5sNzc3U1VVRXR0ND09Pdd0nBsbG1m+fDlmsxkfHx/OnTvH8uXLUavVxMXFUV1dTUdHB3q9HpVKhbe3N01NTSxdulTeczY3N5eamhrq6+uJj49Hr9fj4ODA3r17ycvLY3BwELVazblz5+RMDqPRKKcNtra2EhkZSXJyMjU1NRgMBoxGIwqFgpUrV5KXl4fZbEar1ZKSkkJBQQEwl15+5swZDhw4wJUrVzAYDJSUlFzzubfb7bz99tucP38eDw8P+XpfX18uXbpEX18fk5OTLFu2jEceeYQdO3awdetWtFotVVVVLFiwgPj4eBoaGrDb7ej1ehISEigqKpJnl1taWrDb7Tg6OuLq6kp8fDzj4+MsWbKEzs5ORkdH0Wg0tLe3o9VqMZvNNDU1MTs7i8lkYvXq1Tg4ODA4OEhCQsI1s4clJSW4u7vT1tZGR0cHpaWlvPPOOygUCmpqanjrrbf4yU9+wmuvvcbu3buZmJhAq9WSkJBAWFgYp0+floOveZOTkwwMDGCxWLBYLCQnJ+Pj44Nareaxxx4jJyfnut/h8wwGA87OzgwMDJCYmMjU1BQGg4GKigq8vLzw9vZGrVZz22230djYSGNjIytWrMBsNvPzn//8Q5Vfc3NzeeGFF+TBQJhLwff09KSyspKJiQlyc3MpLCzk8uXL6PV6xsfH6e7ultfxGgwG2tvbCQsLQ5Kka2Yd5wvEabXaawYW5gd6YmJirvs8a2pqiIyMpLq6Wp41zMzMlIPYmpoaOV11Xk9PjzyYUVBQQGVlJZWVlfIsKsxlC1RUVHDu3Dk6Ojo4efIk+/fvp7Gxkf3793Ps2DGmp6fp6OhArVZ/qNJqT08PZ86ckQN0pVJJamoqlZWVcrXYS5cusXfvXrKyskhJSeHIkSMMDg5it9v5yU9+8qG0fUEQPpoIDm8RLi4uPP7444yNjXHkyBG5GmBTUxPrU8L5ctQ4TgOVWFGyv26aR3bXcqXVwJUrV9ixYwd+fn40NzcTFhaGp6enPKsxbz6lMjExkbS0NKKjoxkcHESSpGvWAURFReHk5ER2djaRkZFUVlayZs0aVq9ezcaNG3F1dUWtVvPqq6/KndMjR46wePFi4uPj2bRpE319fWzcuJHDhw/PrYXq6Cenro/f7DlD4JLbaBo1Mz4+js1mY8OGDdx1112cO3eOJ54/zZDVEZ19mm8mzpBmrkIlWSkfVdIZsgXDhJH4+HhKS0tRKpWYTCZmZmbkjlViYuI1I80KhYLbb78df39/RkdHGRoaYnh4GLPZjJeXF1lZWfgGBPNCnYZyIpGUamJdZlEp4K3CXs63TcvrEFevXo1er8dsNvOHP/xBTkNcsGABs7Oz1NXVXfN69/b2yj9Svb29XLx4kZGRETkF+E+1t7eTnJwsVzVdsGCBfP/5DlltbS1paWlyJ8bX15ctW7agVqt54403mJiYkAtNzM/O2mw2HBwcyMjIwNHRkTVr1pCamkpZWZncIQ8NDaWsrIx9+/bR3d3N+vXrCQ4OZmpqiuzsbFxcXFi8eDG5ubmMjY3R2trKD3/4Q0ZHR7nzzjtJSEggPT2dqqoqQkNDqa6uxsXFhaGhITk9LjIyUk5jvnjxIg4ODpSWlmKxWMjPz8fZ2Zm2tjYcHR3p7u6WC2PodDoCAwPx8/PDwcGBXbt20dLSInfKhoeHiYuLQ6FQ8Nhjj5Gfn8/ChQuJiopidHSU6upqXnjhBZKSkqioqODq1atkZ2cTEhLC+Pg4Bw8eJD09ncuXL1NeXs6BAwfo7OwkLy+Pvr4+eRR7586deHh4sGvXLnQ6HUePHiU0NJTz589TUlJCdHQ0cXFx6HQ6eUQ+OjoaBwcHamtrWbFiBWlpaZw8eZLTp0+zZMkS/P39qa2tRalUUlVVxczMDL///e/p7e3ljjvuIC0tTe4kSZJEZWUlqampaDQali5dKgcHTU1NnD17lgcffJAf/ehH/Pa3v6WlpYWrV6+SkpLC6OionBa+ZMkSfH198fX1ZWxsTO44zg9gzBdXycnJ4bnnnuPEiRPU1dWRlpZGdXU1x44dIyUlhW984xssXbqU5ORkpqenGR8fp6SkhMuXL8vBX3h4OOnp6TQ2NmI0Gtm0aRO7d+9m4cKFREZGcuHCBRISEuSqtGVlZRw9epTW1lZUKhWPPPIIBQUFTE9Ps3z5cnx8fFAoFPJM6erVq8nIyGDz5s0cOHBAXuPX1dWFh4cH//3f/01NTQ3FxcXy85yZmZHThjds2EBpaSk2m42Kigo6OztJSkqiuroaT09Pent75ZR8k8lEX1+fvM/mqlWryMvL49KlSzg7O2MymRgZGUGn08lB09WrVxkcHCQ/P5/bb7/9mjVXLS0tREZGotPpWLp0KUeOHMHR0ZHnnnuO5ORkYmJiyMnJAeZm2UpKSrDb7eTk5LBmzRp27txJS0sLvb298hYP83vCnj59mpqaGs6cOXPNjGx5eTlDQ0P09vbKmRMKhQJPT0/S0tIICAhgZmYGR0dHnJyc8PX1lWcl1Wo1fn5+5ObmMjg4yOHDh2lqasJoNLJq1Sp5G4T5y8XFxZjNZp577jleeuklKioqyM3Nlddue3t7y7OLk5OT1NTUYLFYOHDgALt372ZoaIjR8Qna2to5cuQI586d47vf/S5vv/02k5OTfO5znyMgIIBHH31UXicaGxvL8uXLaW1t5eLFi3JFaUCeyT19+jS1tbXX7Km4YMEC9Hq9HAS1t7dz8eJFuUhTb28vvb29BAYG0tzcTGxsrByY5ObmXrNW3NHRkbvvvptNmzZhMBgIDAykrq6OhoYG9u7dS0FBgTwQFh0dTXx8PO+9956cpZGRkUF1dTWZmZmsWrWK2tpapqenMRgMtLS08JWvfIXc3FwOHTpEfHw8s14xfOOlk4waxuWBT7vdTnl5OVu2bKGzs1PeSkaSJPbv309NTQ1Go/FDv0HT09Pyd0RFRQVRUVFMTEwwMjJCTk4OoaGhvPvuuzQ0NMjnndVqlVOXc3JyqKqqIjAwEIvFQk5ODu+99x7V1dW88soraLVavLy85N+JlpYWjh07Rl5eHpWVlWRlZdHd3c22bdsYHh6Wz73JyUkuXrxIY2Mjubm5eHp6IkkSer0evV5PS0uLXCzNYrGgUqnQ6XQ4OjpSUFCAp6fndesBCILw0URBmltIQkICycnJFBYWkpKSwtmzZ/nqV7+K0WicW8s1UcymOzP43ZUB+ifd6XddhkOsL0dzionyciQnJ4cdO3YQFRXFr371Kzo7OxkeHiYhIQGdTseqVau4cuUKMTExuLi4UFpayjPPPMNvfvMbFi9eTGBgICaTCaPRyKuvvsr69etpaGhg586dhIeHywvT8/LyaGlpISQkhOTkZJqbm5nWevCLM/WMTpnREErViSLaJj2p7lYyoc4Ad2AWMsstoMlA7+bHequK8+fPU9nYxv76WUY8UsBu5Uspau7dsYXFCzr4P9/+T4ZSHqHP5sF/5/Ry4F/v4tChQzg7O2Oz2cjNzaWhoUEuOtHd3c3w8DDe3t7XvLYXLlzg7NVSHOwzjI6O4u7uTlVVFR6bnmHQoMNFZeXpRS7Q20Kdoyenhz24NB1E9Ng0IyMjeHl5ERMTw9DQEO+88w733nsvkiTx5ptvkpKSQl9fH4WFhRQWFvLEE09w+PBhHBwc5IptU1NTHD58mOTkZAYGBhgYGMDT05Pq6moWLFhAW1sbmzdvpry8nMDAQPz9/eUCHJGRkUxPTzM8PMyGDRvkzZfVarVcDKS4uJj+/n6SkpKIiIjg8uXLFBcXYzAY0Gq1PPnkk7z11lsUFhayYMECvv3tb/OTn/wEhUJBa2sbMbFx7Nq1S55hkSSJumkXLjcNoVNb8PXQk7TjaYaaK2lqu8r4+DhPPPGEnNI5n5Lm6upKbW0tAQEBJCQkcPHiRXbt2kV6ejqHDh3CbrfzhS98QZ6pqK2tnZuhqm9kPGQlnhMSATND8rrF1tZWtmzZQmtrK319fWRlZdHf38/AwADZ2dmYzWYcHR1xd3dndHSUpqYmiouLGRkZ4crVqzi46HH0CUPZPElmtQlH79UoZifI6rKjDUym6tBhFixYQEFBAatXryYpKYno6Gi+//3vMzY2xpNPPomPjw89PT3U1dURHBzMzMyMXDTp0KFDpKenU1BQwPnz56mtreXq1av8+7//Oy0tLQQFBREdHc1rr70mz8zPf256enrk4iCDg4M4OTnJQbFGoyE2NlZOobNarej1erq6ujh79iypqalIksRrr71GT08P999/v7xeNjw8nIcffliurDhfDbOxsZH77ruPnJwcSkpKOHHiBCMjI7i5uZGamgpAXWMzV8dcqOmfons8DGXMYpSTJu72nAugZmdnue2224iIiJDXFM0XDMnNzeXYsWO4uroyMzPDkiVLsNls+Pn5UVdXx2233UZnZydjY2O0tLRQVFTE3XffLVfCvHz5Mj4+PmzduhWDwSBvG5CSksKiRYvYt28fZ86cISUlhYmJCcbGxrjnnnuw2CQaWtqpq69jy5Yt9PX1sXjxYg4ePCh30F977TW+9rWvUVNTQ3JyspzeODExgUKh4Oy5C3T39HLnHdtpaGiYW//ZPkDmZAgj450kuVlxGbOg9/BgaGgInU7H6OgoKpWKb33rW0iSxFe/+lX6+vpobGykoaGBdevWodfr2bNnD//+7/+OVqvFaDRy9OhRsrOzueuuu2htbZWL9WRmZmI2m8nLy+OJJ57gzJkzcsqek5MT+/btw8/PTy4O4+bmxtq1a5mYmKC0tBS1Wk1dXR2Tk5M8+eSTvPHGGzQ3NzM4OMjY2JictbFixYoPrTebLxTl5+dHTk4OdrudpKQkcnNzqauro6mpiTVr1nD06FF+85vfyGv35ovwzAfNKrUWr/AEXvzlf/HQgw8wMjKCn5+fPIiUmZnJ1u07eOV0IS6eIdRcycJgMKDX6zl//jx79uxh48aNTLmF8R4euFjVBNr68PVQEOfrR3l5mbyOfHZ2Fg8PDy5dusTGjRuZmJggPj6ewsJCzp07R1paGjabDavVSltbm1y8C7gmhVqj0RAdHY2Hhwf/8z//I6+HPH78OCaTCbvdzoYNG0hLS6OpqYl169YhSRIXL15kYGCAlJQUDh48SFhYGGlpafJ6zH379hEQEEBNTQ1hYWGsWbOG5uZm3nvvPZqbm7nvvvtIT08nICCAiooKgoKCcHR0xG63MzY2JqdNpqWl4eTkxMKFC+VB0NPncmj0XE6+2Q56eLO+j/q6d4iIiGBkZARvb29CQ0O54447+OEPf0hQUBAdHR0UFRURGhrKW2+9xZ133ilnsRgMBn7zm9+Qnp6Ok5MTkiTJheXmZ8bz8vKw2WxMT0/LRdXUajW+vr78/Oc/JzIyktjYWLkWgp+fH2fPnpULkun1esLDw2lububdd9/lG9/4Bq+88oo8M33s2DE522f9+vWcOnUKT09PsrOz5d+VyspK1q9fT3t7O7t27WLhwoXy4PR8JeDOzk75O23fvn2sWbOGwcFBvL29RZAoCJ/QLRscKhSKrcBvARXwqiRJP/uT2x2At4B0YAR4QJKk9hvdzs+SQqGQRwvnf1TnZ07efvttFi5cSNmZfezyD+S9mjGmI9cy6xHJT0okNkWrGWjvJ+r9NLD59TH33XcfR44ckWdSRkZGWLJkCbm5uXh5eeHv7y8HII6Ojhw8eJDFixezceNGbDYbY2Njcx2ljiFyi8qJjY2VS5DrdM7sLxsg33k177xZ9afPBvACNSjtVsLclIwODaB3c6HHosPgEsZ/llgIcximyxqAzWPuxzp+spwwt4Xyvojr0xMITHHk54UzlE848bvzLayIX8C7J7OISlnMnvzzWNxXkNPrSbQ+Ao/JGkpKS7nt/Wqora2tHClo4o18A8awXWhnRsm8XEhUgCcz7mEUGXQoJDuvPr4YQ1sVuwsL6evr4/aHvsepZhMvN+s48fxV7lwSRZiLH5llxVi8ougem6b0j3+UiyEkJiby8ssvExAQwJtvvimP3J49e1ZeY1ZYWIijoyOtrW3o9XpmZ2flKp42u0Tj4DRqrSNTU1N4eHgwOjqKxWJh+fLl1NTUEB4Vw5HyXnD1ob+/Xy5ssWbNGi5cuEBdXR1bt24lPDycw4cPU1tbi1dkMu4+fpSWlaPRaOSqet7e3vj4+NDY2UeFlMq7RwfZ1dPI48vDsNnhu4crKOm0AZ5gAUxArxVIhI2JjBv7+foPfoGLdVxeczU0NIx7eBLhs2NkZWWxceNGWlpa5A75woULefyL/x8Oi3bQP2MjwcMZjUbDrvvu49zbxQw6BNEB1DqGkd5tp908wLtXu7G7B6FVBTA1MIKqsRCfwDCqlM4cuTpLREgwCQ4j+DjqOHDwIGq/GC4Y/Wkx+dKREoJNOVeNt6DIAMpgMAL4UF08V9jCYcN3OTk4wr8+/lW6qgsY7evGYDCwfv16nJ2daWpqwsfHR664NzAwQEBAAGNjYzz3/PO4+AQz6xZCWXU9EcH+/Mu//Atnz57l+edfQOkdzsCIBb2Lmo13P4RhYm727Ny5c3KBFUCePZQkifvuu4+LFy/K6eErV67k/Pnz8rrh+eqk8/uqtba2snTpUlasWHHNp2/16tU0NzdTW1vL+vXr5TWely9fRq1W89prr/Hss89y+vRpXn/9dVpaWoiNiyNPiqNXEwi4gzNgg/xRJ1amBmO357Blyxa0Wi16vR4/Pz8GBgbkju+JEyd46KGHOHDgAG1tbbz77rusW7cOg8FAeno6J06cYN26dbz33nskJibS399PWVkZ7e3tcoGlmJgY6urqmJ2dpauri69//euYTCZUKhWDJrhc1oRraBKdUyYOVjvyrdIz2OzS3HnKSkoujLIjKYDgoVG5ImhCQgJXr17lwIEDaLVaHnnkEXnvzILiEmZCl3PKIZEL7Rbe/ubP2ZURScukmtO97liVJkDFlREVkEpI8CLayvfi7++PWq3mG9/4BqWlpbz77rtUVVXJWzPMd+6NRqMcPOXl5XH58mUaGhuxuQXxb6+doHPcQpcxBMu0E0Mh92JTaWlugTd/mkm4n56uyRK2LTPj7OzMCy+8wJNPPklvby/j4+NoNBrS09M5fPgwrq6uFBQUYDabcXBwwNnZGVdXVxISEsjOzkatVhMUFERoaKgc8Hywo1xRUUFKSgp+fn785Cc/YdmyZaSkpNDR0cHU1BTp6em4urqyYcMG4uPjWblyJadOnaKhoYH4+HheeO0t2pRhnKnQMlHcjTbyQQ63QVDMIto7GnFxceGRRx7h1SPnaGhwon9qbi26ky2ZyG4jmxxUHD78GnFxcdgCU/lNvgFJocZgBgMB1GoCUFumSbt9I/2tZRTVdxCid+DFF19Eo9Hw5S9/mePHj7Ns2TKcnZ3p7e1FoVAwMDBAfX09rq6uFBUVsXXrVvm35YMWLFggp28WFBQQGBhId3e3vJb37bffxtPTkwULFsivm8ViQalUYjQa0el08jYdC9IWk52TS23HAP/67e9QXlnFj3/8Y/7whz+QnJzMzMwMCQkJcqVNf39/MjMz5UGFsbExPD09efvttwkLC6O5vZMWz2X021zY3VuLnw6K+wMxKewo7VYUCuhRB1BktXPo0GHc3d1YtmwZPT096HQ6tFotzz33HCkpKSxfvpzNmzfLmRI9PT14enqSlZUlr7O+cuWKnP3Q1tYmD3KUl5fL51VSUhJ79uy5JsXdZrMxMjLCvffeK6fYzm+7lJubi6+vL3q9Hl9fX+rq6njttddwcHBg0aJFFBQU4O7uTl1dHYcPH+bee+8lLS2N//mf/yE1NZXS0lK8vb3p6enhoYce4tSpU3Il2Pvvv5/6+nqMRiO7du3iq1/9Kp6enpSVlTE0NERNTQ21Hf088+h9H1rnLwjC9d2SwaFCoVABLwCbgW6gSKFQHJMk6YMrzT8PjEmSFK1QKB4Efg48cONb+9ny9vYmPT2dM2fO8MQTT9DW1kZKSgouLi7YbDa5StcX10TSO1JDDSHUzHqS3TIJIfegGVMQ1FFDmIcHAwMDpKWl4efnx8svv8z4+DgrVqxgcHBQrs5XU1PD0qVLqa2tZdOmTaxatYr+/n5cXFyorKzEQefKe50aiioncdZ68OOdqWxVqvAKCObFsmkqu+yADSeVnXjdNHrFNBFJaYyY7HQ0NzBYcYFNycF8+YtP88orr3D+/Hm+cNf9HO/W0qPyo92iQYFEgpuFWHpIigzAbrcTFxdHfHw8ERERHD16lKdTlvL7SivPXWjhOQCiIHcMvBbNvXBWqBy2AwkUX5jCt/A4s1Ybo1MWZlQ6cJrriJsdPflp4TTb9SX0hW4CIEXVTVflDFu3buWVV15henqarX7TKNQeZDeP02tS8tKltvffoURISyRTAV+8bxOTVdn4+PgwNDREY2Mjq1evprCwkIGBAXJzc+dmCm3OXOlyosh5OTl1btiVXmSdqOTHj6xhacYSfvnb33NhJoz6khJctAEs9lPiVNrM0NgE7s5OjI0beSO3lbwJd4Yn+9GqFDw61cK/Pxgk/4gnJyezc+dOXn31VdLT0/H29qbX7k6D1ybsNgXZVVOkeqezYbEXmWfP4ufnR8+4mUvaJdhwA4udt/I6eCuvA6UC7BK4aRXo+4rIyFiCX2gkte391PaMMWzRYHP1p8dtO3c61hHm701f/wBF6iQqyhUo7K7EB27GzeBAcuIiDhw4QGRkJH88W8zQ4mfA0Y0SuxX7ZC1x1gH++2wjgw5BaLBinxxh1sWP/zrV8P7r7QD98wUV/EDtB/N7Xmugtt9ILVqcNfE4xEQxalFD2/vFLZQaHFXgzAyWoXae3LmF0d52uocnCI5N4XxlOz0mFY348MU9NYALClsk0ZIr9yTpiXabYXh4mO7uboKDg1m3bh3t7e3syy7AELWTab+dTKq0HB4HnTqM6K4uHvb0JWL57Tz/xjlGRpwAJxgG2sfQayX+j6aXACcnioqK8PLy4ujRo/T09DA9PY3dbsff35+MjAyee+45QkJC2LFjB5OTk/T09GA2m7nzzjtxdnYmLS1N3m9sPlD5IHd3dxYuXMjBgwf5+te/jsViQavVsnr1an70ox/Ja9kGBwfldXnl0x70ugWikqzET1WQFORB4+AU5Q4p/PpCJ8kzDmzx9ZW3qPD396epqUlOCxwZGaG4uJiJiQm+973vodPp+MMf/sDGjRvl2ZWvfvWrfO1rX2PJkiUsW7aMV155hQceeIAvfelL7Nmzh3vvvZecnBy6urpYunwFPXY9b1+t5esXsxib1oNaD70SML8lhoQCCbVCQlKoaJ9S8bvCcV4pMRDv6MfGcEcmJyeZmppicnKSpqYmBgcH0es9qB+z0xy5i1nHuUrCk6iYDN/KO6OzjNkcsCsh2nGKf71rMUdL2inoMdM1YUMVsZPM+lrinYyUlZVx+vRpeS/E06dPY7VaWbp0qZzC6OLiwk9/+lPsdjuuQTH0JqbTYrBztfn98xsHsALvz9pPAVPT0N02QQlWNJYCgoKCWLduHS0tLTg5OVFRUcHy5ctxdHSUU65LS0u59957iYmJ4de//jWTk5NERESwadMmFAoFx44dIzQ0FA8PD6obmpmya3DRSESHBNDW1sb9999PbW2tvKbu5ZdfZmBgAB8fH26//XYUCgWDg4NcvXqVxKRkztf28h8Hi5jWddFDBhJqsICDSmIWJ/JGAaJxcgujtnuCyveqmFjyBSamJALdtIxPmZjCmRqrMzUN4OR/G47eHuwrnEBSKAmfbUM7UI1j7AoaZ1yY0ego7J0Fx0QanRLJ0JvxNUv4uuswGo04ODhgtVpxcXGRC7HMr1F3cnIiJCQEJycnuZJwZGSk/Hnx9/fHaDTi6+vLgw8+yNjYGN/5zncwm828+OKL1NXVcfToUe69914OHjxId3c3tbW1hIeHU1FRQUJCwlyRNIMz33m1GhteELaLx/Y0Eb3xazSd/iWHDx9m2bJldHd3s3btWtRqNePj4xw7dozh4WHOnz/P2NgYkZGR+Pj48IMf/IClK1dToF3IyMxcRetxg0SjAVA4ojX2sjNgAicPX95sd6FLHcRvr5RzV/Bc5XGDwYCHhwePPvoob775Jm5ubqSlpREcHIyTk5M8o19XV4fJZCIqKoqMjAyqqqowGAxkZmbSMjrLS789Q1J0OKEOelw9vCkoKOCLX/wira2tvPfee0xPT/Ptb3+bn//852zYsAFHR0dmZmbQ6XS4uLhQW1tLZGQku3bt4siRI8THx79fAT2Y6vpG/KYsBIdHcfLoYWJjYzl//ry8ZVR4eDjV1dU0Nzfz+OOPy3sbzxc1m9+T02AwsHHjRq5cuYKDgwMzMzNERESwcOFC2iUfDrc6oivs4Zl1119rKQjCtW7J4BDIAJolSWoFUCgUe4G7gA8Gh3cB//H+/w8CzysUCoX053bB/TuwadMmuaBGW1sbOp2OtLQ0jh07RnBwMCtXrmThwoXk5+eTOjvLq3t3Q8IWOpR+lA4rKCWJFQozYdpxfvzjHxMUFMSzzz7Lj3/8Y6anp7ly5QqbN2+mubmZ0tJSucBDVlYWMTExmGYtVNU1YNL5Ue4YzZTh/Y2wzXb+775ytiTGUVcyQdeoHS0WvrLMh9qz79JZ1oZPcjIVb50gPj4ea0UF96xbx+c+9znOnTuHv78/4+PjjPd3ED3Yy6oFaxic1XD7gmAcrJPU109x552PMTY2Jv8IzK9F8zeZCOgyMxW9GZVKicI8jckwhNLQxSNblvLw9g2cqennpexqxixa2iYBlKDSoLVOszPZg6/sWMH9vzlNHzoOGaPBAXQzQ/zqy5uxWszs27eP6OhoYmJieO53v+Wxxx5jaYIG36Tl7L1YSZ/RQt/gEAEh4TSM2vhD2RTrvFPRjjfQ1NQoFzcpKSlhx44d6H0CuDzhSX6XBjCC2gskwAatzon8INfI13T97BkLw2BWokJi0mznYpedi109gC9q7CgqrmDBCTAT7OFE95iJ1ysmaZ4u5Gf3pjI+Po5OpyM8PByDwUBNTQ1jSjeMCx7ELinQqWEaZ0oMUFI0jbvDGi68kMmQQzySkwvh7irWuAwy4hrJ+ZZJZiw2VvnZWOVuwCEiFAcHAyviHCkcH+T5R7fz9P/3FYrdV2F09ifHHMW3Al3Z06qmXaFGyVwhobpxqBufG5331iwk64cH6VV4gSO4KGaZVDpQ6pBK03g7RskVJDtbXLporTyFY9RSZsOWY5ckkvydCXaWMNsVFLYM0TmlQKOQiNdLPLxhEYdOn6fO5ke7EaZQ46aR0PZVEKocZVFUEIM97QwODODv70883QyoRliTFsToaB0b1vjiGZHM708VU9Q1ySQOmFVamkZm+fmlAcKdbfxoZyr5+fncc889dHZ28stDudT7bcFmUoAKVJZptJKZafRUEkL6f53FagcU7ijMU3hpzDg6u2NWOTJoNPOTrHYivHTcYzGjb8gjMzNTLk4zX7DC0dGR9vZ2zGYzP/rRj7jzzjupqKjgy1/+Ms7OzgwPD5OdnU1KSgoODg6Mj8+tN4qOjr7me2R2dhbXsCS+/tYVXHyCMFrgf/5QiMUhHX8XDb+/2IynQk/mqX3c+fln+Y+cUZDAo/EEG1cnsGvXXRw4cICBpmr69Mm0+K/nWGE9d90Zy5XmYSw2O0Xd05TtPcvKxDCeeuopKioqmJiYQKfTkZSUhEqlore3l6tXr7Jp0yZ5b9a2tjaWLVtGS0sLZrOZwMBAIiIiuJpfQFn/LKP6JZwZcsV4tBnQAhYcpFncZodZEulFarg/mlkDx/f+kYUpSXzrW9/CrtRwqLiDl7Jr6DGpKJvSU1YDSX56JginuXWKZWmbGHD0Y3/LOKNmJThCkJsGfUsWWg8/6tVRjFgdAFjpMcWWgFkWh7oz02nk33es4ufnOzlS3kupQypdtnGyLxqYdlyNNATqmVEcnXU4TA8xci6H6bEhvvKVr7B9+3Z+8B//gSZpC681zGKV7LhqJLSGDrxUs4Totbiq7TRUFLNpzQo2bbuD6qZ2fnqmgUknf/5QaWQdVSxOT2dqaoqZmRm6u7vl6tPx8fGcPn0ad3d31qxZQ39/v7y3bWNjI+vWrZtbv+XgwgslRgxaO7Yrc1UeVQqJ1UGNPLQwFrvdTmVVNau33UPf6ASDV3NRzyoJCAmWB6EqKiqITUzhvt9fpqzHBtroucBWCYGMEjBRz5YFYRS2DNBs9WTEKYRJm4Z2yYv25ilAQYChmvP/9U3OnDrJr986iNEjFoM+FpPOn0tzE4oEjpbz5MoQBgejcHQc57kdaxk0wS9eP4hrzBIutBjJH9Gic1xFqrPEN3bn4+aiYzyvEXd3d5ycnNBoNLzxxht89atfZeXKlZw9e5bW1tZrKrHOs9vtpKenc++992I0Gjl+/Dg9PT0kJibi5eXF1NQUVpuNvcezSIqLxtPTC71eT1hYGEVFRWSsXs8X3izmXP0goEJjm8HZUcMsGpqntLiFrsTPz4+WlhZOnz6No6OjvJdjTEwMPj4+9Pb2yoF5dnY2Lu4elDqlM2JyRGWZ4nPRFnJy81B7BuPupKGj9CDRTz3FE088SFppK18/VI/RbyEHjCM8MK5gtrOTTZs2ycWSLl68SHR0NOPj43R2dlJfX4+vry+urq4olUqmp03s37+f2NhYvHx8eelSG4XTXkgoqaua26pJSSRR1g7SSkrw9/dn7969PP744/J6zF27dnHs2DEkSSImJobExEQGBwdZs2YNKpWKJUuW8PI7B+mMvIvTnRYkXSinGkCr8iAg5W7iktzpbqjkl7/8JTt27OCee+7hv/7rv3jyySfJyclh3bp1HD9+nGeeeYbi4mJ57eTmzZupqqriypUr2O12RkdHcXJ15/JMCHmDczO9tX0Tn2g/S0H4S92q+0h+mv0XFbdiLKVQKHYBWyVJ+sL7lx8DlkqS9JUP3Kf6/ft0v3+55f37DP/JsZ4GngY4ceJE+vbtfx+bVY6NjZGdnS13/ry9venq6qKtrY1NmzaxceNG7HY7FRUVvPbaazQ2NvK1b32fo/VGLvZKWGwS7tIkGxzbSQnzYcWKFezdu5eBgQE+//nPs3jxYtra2vjhD3/Io489RrNRxatZFUx5RGP6kyrSyqkh7gmYYMTmRIElhGnzXNXJcDcld/sMM9LZKBd5mf/yLisrY3Z2luPHj8s/hM8//zwHDx4kMTGRdevWER4eTm9vLw0NDUiSRGBgIE899RRKpRKr1YrRaMRoNNLV1cX+/fvlReahoaGUlJRQVFREamoqERERfOtb30KlUlFUXMy+s1dJWbCI/t4eQoMCeO+tl/jFz37C6Ogo//3b57miSAT/BNQKidjWQxx84wV0Oh0/+9nPGBsbQ6fTkZ+fz4YNG1i+fLm8SP7kyZOMjo7i5eWFJWwZ/3G8FrsEwbZ+TBWnUIx1kZyUiIPeD7NfEuWzPozN2FEioR8oIVBl5Kn77uByWQPZRn+Mtv8dmwlyMGO++CIPPPoE/U5hXGmfpH9iBkk5dx83aYrPpXny7P0bOV3dz7/sLcZkU6JEIlIzTrJ2iGgPNUuWLOH/fPuHGJc+jRkNC91nWDhbTc8UOERlUDvlROvQ/1Y2dZ3u4Yebgmiur8Hf35/td9/LkWPHWb8igz/84Q88++yzlJeXU1lZydNPP013dze7d+9mGi3HZhLB0RUvjYURiwYVNr69zIXF8eG8l99I/biS0l4TVsX7z9NuZa3eQBy95PTaaXBOBcXcD7dL3XGe/8aDciGNhx9+GIB169Zx6dIlhoaGcHNz4+GHH+YnP/kJt99+O+np6Xzta1/jhz/8Ia1jFnKuFpAequdcdhZGo5Ff/OIXfPOb38Rut+Px/kx6QEAA0dHRVFVV4ejoSEpKCkajkfz8fFzd3PANCqPJpKNoNpDx2blgLchFQbDDLCOGCZptc2tZN4c7MHD+DdIS59bvvpNVSPDWp6kamEWntJGo6uPx5eEYx4ZZvnw5efkFWAJSeD6nneGZuc5JvK8Tnt1X8LGP4OXpSX9/P7///e/59e9eYHDSjNXFn4YRC/1WJ+ySgodXx5PiamK4s5mIhcs5cLmKWUdvLKho7+lH7+bKtkXh3JbkDzYrn//dUepm9PBnOkMKuxUnRwemzTYyXMdxqD/NU089hdFoJDQ0lP/3rW/jsPn/UjV8/T3FAFQK2BbrymjuuwT76NHHLMaoj6E47zKfXxpATWU5zzzzDM8++6ycUhoTE4OXlxf3338/757JJW8ALrZMYFP/b3Vff0cbayJcab6wn7ToYOz2uewJs9nMmTNnMJvNPP744yxdulT+m+bmZl7ce4J2VTC1UzpM1uv/xjkpzKwLUqLvK2b7tttYsWIFb727lwsdZnqbq1ka5MjmzZvlbXvmC+T8/mwll6f8sX9MPTeFZCdYOUZygDMTGm8K2kaxKudmBmM1ozwYp+bc6RPExcURERFBS0sLnZ2dLFy4EJPJxG233UZpXQu/bdAxPmNnayjEmOrp6elh586dnDlzBicnJ+644w4WLFjA//t//4/o6Gjuuece9p66yIkeLRbDIA+l6hnrbUOj9+ONVmcmmHttlZIVndLGlOSABKiUCoJdVfRNWjH/ydusUUj8y5ZY7kn25Oy58xwzBFHYbsBLpyHQ2stoYzHf/eID1JXN7buXkZFBcXExWVlZ3H77dlqHJwlJ34gRJywtBagMnTz77LOcOnWKl19+GWdnZ4bGxvHP2I4yfAlxzjPEq4f45je/yZ49e5AkiYcffpjKykoOHTrEd7/7XV589wiltjAuNX94f9k7fMfxMTbR3d3N+Pg4r7zyCgMDA+Tl5VFbW8vChQtxcnJi9erV8lYNZ8+eJTk5mcDAQC5cuCAXeLNarVy+fJmiujbGorcx5TKXyq9RSvi6OGCamkCy28BJz9i0BWeNgjRrLeuiPVi9ejV7LlbwRqsOJDvJQ+fYvGDuvZ6dncVut3P/M8/yg5PNaNVKnPvLWBqgxsnRkdOVPUwGLmHQ7ozaakJf+kc2L52r6js6OkpYWBiurq74+vqSkZHBtm3b+M27p3i5fAqTcm4wNz3AgdUhDiT7aKguycdsNvPoo49iMpkICgrizTffRHJwoc7oQIfdk4reaVSSBb1WQq11pH967nMTPNOGxj7LiNoHo9YTCQUBk41s8hijuLiIyKgoLF7RlLUPE5SYDs4+hHvr2BxgZaSjnpCQENavXz/3Otf08+W38rEo5tL91Qo7Lg4aDDNzJ51aCX7TbUSMlRIfEylv9fIv//IvfPnLX+Z73/seP/rRjwgNDWV8fJzNmzezceNGJicnOXbsGCaTiYsXL2J3D6I7aAMd4xYUko2FtiYO//LZGxYYvvzyy7z88ssAPP2Nb/OTKqc/8xeC8Nn7c8HhuXPnSjZu3Lj4erf9wweHH1RYWChlZGT8bRv/GcrOzsZisWAwGJAkiTVr1lBRUcHk5CQbN26Ui650dHTwzDPPsHbtWkJCQkhddwf/31tF9EyY0apgVZQno/UFpIe4UZuXza//+78JCAigpLyKr/x2H5OBGRhtKvlxFZIdB7UShc2M63gr24MtJMXN7Ue1bON2jnYoCHBzJMRQjqvOEWdnZ7y8vNBqtfT09JCQkEBZWRmVlZV84xvfwN3dHUmS+PWvf42TkxMlJSV885vfpK+vj8jISJ577jnS0tJYvHgxcXFxcjv6+/vlH0ONRsPJkyfp6urCbrezaNEifH19UavVGAwGFi1axPbt22lqauIXv/gFjo6OGI1GbrvtNsbHx4mMjOT8+fOEhITw3rETeC69h6WxgdScP8Tzzz+PTqfjBz/4AWFhYdjtdrq7u/Hw8CAxMZGioiJsNhstLS18//vf5/Lly5hMJtwSVvGf2V3MWOaCCCfMKEwGpp185ecQ6DBL9GgBO9Yuob29nZCQELy8vBgYneCdulnqZ9xY4y9hzH2bpIQ4XFxcWLlyJfn5+YyNGXB0dWfZ6vV4OCo4cfw469evZ82aNby+5xAHWyTqp5ywS//7vimVyrk1WAoF7lOdfD7OjrurC+Hh4ezbt4/16zfQarAw5hpJfV0td0dpCPT3pby8nJKSErkoklKppK+vjyeffJL9+/djMpl44IEHOHXqFGazGbPZzK/fPop19Zexo0CJneiesxx75ZdotVr27NnDAw88QEVVDV//0e+YcfLGc6YPJ8s4v/rVr2hubuYL3/05vlu/jOtYIxv856rM3X///fzyl79Ep9Oxbds2YG5rgvz8fJRKJfHx8Zw4cYJt27bh5ubGkSNH2LZtG7W1tSxaNJdifOjQIeLi4tBqtUxMTNDf34+Pjw+tra1y6fxTp07xpS99CUmScHNz48yZM2g0GkJDQ1myZAmv/HE3o4HLKBnXYfnAnswqhcSP7koif8//EBoaSmRkpFxS3mAwcNdDn8M43E9TfS2Tk5M4OjoSERGBl5cX7e3tLExLZ19RFznDOgaNcyXsHSQzNsssSHY0OjdMto/uwCgANwelHLh+FI0SLHZQIbE+RE2g1sRYXydYTDh6BmBSODE4o6R1UsGwdS5FM8bVRkxvJjHR0eTn5xMQECAX4Vi2ZgP/c6mbYRPo3d0I8PfDPDtDc1MTek8vOmccsEugsFnQYMWs+t/OkK9mln9drkdpGqOoqJjwxRuo7jFQWtNIWGwi3bOOdBn/9/m42id5eHU8uzIiMfY0yRVHn376ac6dO0dsbCxjY2Ns375d3k7gzjvvvOb519XVUVVVRfqylfz7i/vxi07hcmkNGndfFoT7EmgboLfyMqbpaTZv3swjjzyCQqFgdnaWQ4cOERMTQ09PD42Njdek+jk7OxMdHc3PnnuFwMQl2E3j9LY2YLZYmFQ44x4SS/2Ygn7c5c/lPAfzOGmKNr5679y+ia+//jpNTU3s2LGDmpoaVCoVoaGh8lYDZrOZ/TnlXNWmI6FgRaCappJLbF+9GOVgAyuXLuHUqVM8+eST/OEPfyAtfTHl03pOdauxSnPnkINaQaS1i06lP1N2NQGONp5/IIXdrzyHWqVC4eZP4ZQHnfhiZ+5v3NR23LQSqDQYTWbGrXODO2HONrw93CnpnsTTScVbT6Txx+d+weDgIJs3b8bR0VHewy4kJIRXXnmFLVu2kJ6eTl5eHhkZGRgMBnQ6HZmZmfj5+dHW1kZkZCQdHR14eHjwrW99i1/+8pfcd999bN68mTfeeAMfHx9iYmK4fPky4eHhREREMDg4iIeHB0ZHX85crUDj4Ejb8CSZbWYUkp3FphL+/Qv3UFhYKK/vzr1yBf2KhyjsMuKplYjxd2VhbATGGQuX8ovxCwwiIsCH1roKtq5fjVat4M3XX6NtQqLbYxGzNgmV3YJGrWLG/uGBgXhvLQmGfALc5qoqR0ZG0t7eznf25JE37oZydoL7XJuJDPJl3bp1PJdZxZl+p7lMg/dpsWGzWbGp5mav9Y4qUkcvEqhDLs6i1WpRKpU88MAD9PX1MTs7y4IFC5iYmKC7b4DDNQZGfNOx8P5vuiThMDNMdJAvPu7OuLro6BqZpLF3jGkcPvI7xME6xVJFIw+uT+PQoUPU19fzwP/9T35basImKXAbLOfBDUs426OkfWz2Q3+vViq4Pz2I1THetI2aqOwa50zN3PZFoeoJliubCQ/wZmRkhIr2IQyBGTSb3ZFQEO5kZsFEHiajgf/3ne/x2wttnK3pJz7IE+3UABMtpXzprrX4+vqwcuVKsrKy0Ov1/Pr5P9DkGMewPgEUSry0NhZMFhGu1/Bv//ZvN6UgzWvvZfFfBeYb/riC8GmCw1s1rbQHCPnA5eD3r7vefboVCoWauXqYHx5G/Du2aNEisrOz8ff3R6/XExwcTHBwMP39/Vy4cIGdO3eiVqsJCwvjueee49/+7d+YnJwkNTWVR3272Tch0W7z43zjKChjKO8Bbej9fHV/NekxBt7ObWPabznYwEtrx3OyBUVHMWsWxdPV1YWjoyPhseG4uHih0WiIi4uj4up5vrh5M/X1lbR3d9LH3H6CmzdvZnp6moaGBnbv3o2rqytBQUGUlZWxbt06hoeHmZqa4qGHHpJnPG02G66urri5uXH//fej0cyNJprNZo4ePYqzszNxcXEEBwdTXl5OeHg43d3dqNVqIiMj5bUTk5OT5Ofn4+vrS0tLCytXriQ3N5e7774bg8HAmjVrOHLkCGq1mqioKHy9PPA2VKEzWomNjWV4eBgPDw/Gxsbk1/DFF1/Ez88Pk8nEihUrOH36NC0tLVRWVnLlyhVcXFzYFBrK1xPM5PTYqRxh7ofWyRel3YrbVBf/585lLPIGjTqShQsXyttUnDhxgqioKG7T21lmbGOiaxSf8FAee+wxnn/+eSwWCzqdjuHhYabHR9m4PG1uxFOSOHXq1FxlwfEhvpjkh3doGK9faqZoVMOkRYlNAhQKopxmWKLqo7fbTNPUFI2NjVRWVuLn50dqaioGQy1Oyk4Wpt5FcXExvr6+bNu2jaysLBwcHBgbG5NnKFatWsXZs2f57ne/S2RkJJ6enri7uxOkncF9tooxv8XETNcwI43JHZf5gg5TxnH+z70b2bdvHw4ODqxYv54rV64QGBhIgpcav84jc+/Zf/0XMJe2plAoKCgowMnJSa7cp9FouPPOOzl9+jSrVq3i1KlT+Pr64u3tzSuvvMKuXbtoampCrVbz+c9/nt/97nds3LgRjUaDRqORtziJiIigqamJ1NRU1qxZw8WLF8nMzGTDhg10dnYyOztLUlISd92+hebmZvwH23EPT6a6fxpX/3AWus8Qqxml3NGRpKQkQkJCeOedd4iLi5vbg7GsgPr6eqxWK1FRUXLBoZSUFNrb2ykqyGehmxubY9x4/kwdzZoIpm1aeb2Z1TYX0Llr7UR6u2Duq8c+2EJ33wCuKRvpU/owPmvHVW1nVYwPK+MC0Os0ODuoMUybOVbSwZXWMcx2BX72YV7+0hb8dIq5tVeh7qxbdxc9PT1YrVaOHTvGbHMzX9r1EO5hSZx990VmzDOkp6fLhSfuv/9+cnNzKS8v5yuLw8nKysLdwR3faV+sViv3LgvEy8uF8AXL+d7efIr6wIwGvcqMn6WPDrsXg7jwoyIrayMCuOSwCkOxGdCB50J6hwHsqG0zJLtME6MexVdrIcPNnxg/V0xuCfzsZz/jc5/7nFxO/8KFCzz77LO4ubnh5uZGXl4eU1NTcgVSmKv8rFarOX3sPW6L96Snp5AnE90ZGKhjdYQ3Bw5cZNmyZXLF1dnZWRwdHXFwcOCOO+7A0dHxmgqp3t7e7Ny5E29vbyYnJ5noa8Ni6EepVOLm5kb68nQWLVrE6OgodrudKbua7OYJWgYm8FVNE+Mu4WAxEhAQy4oVK+S15GVlZQwPD6NQKNi5cydmsxmTyUR2djZPPfUUseXlTM10Ui6FcbXXCgEr+GMzuKkSiJL0DAwM8Oqrr5LfPMgFhYUp57nvUG9jM1pnd3qtPtQRDHYI1pr49nIP/N20aNRqfHx8cHHR8ciOdHYfPoGDhz9pUYFsWb+W+vp6zp49y8NfeJj/3pPJ2TEvOqac6JiaxE2rYN8zK6jJP09UVBR9fX1yAbWFCxdy7NgxPD095UIkK1asICYmhldffZXHHntMLoZjs9n43Oc+R01NDU5OTnR2duLo6ChXWAYwGo24uLjw5ptv4uHhwbp16+js7JQHILdtiydGP/c7uW1ZDI2152lziqXCZTG1fXOVPV977TVmbAoGo7bTVD23F2ALUDRk5N2qyvfPGGcYMUCVAdBx4K357YYWgBtgkwi29RNpKGHN0jSSFy1G5ezB2+/sYdRgQKNSscwtnO5xMwkJCwkPDwfmBm6T7G0MuKbSihv7ZxfiM6jh8Kl+GgbmBlBiFP2Eu8LlPokZ5wBQqVBP9PD46jgCzD3kdw3xha99h6qqKnn7nuHhYZKTk9m6dSvvvvsurq6ubN++nXPnzuGl76ChsxIpdAn5HeP0mJ2YdfKhZlSC0Ulgfu9UB5TYWRauJ9rByM6MKM5duEhuSTU4uKCd6EZSQUTEvYyOjuLo6Eiih8R3Vnnyk0vDTPgu5OVqCwBa2zRLA9T4Okrs3LyGo+U9HCrt5t2iuX/z1Eq4O0JBZ/YRHOPjKSoqIiAgADdpkttCTZS2tpOrWkC7Scu0Qxopyka+erSDuv4p0LhSMWgBPMF/E7vrTdxlbJX3rD1b1UNpwJ3MogHJThw9RI7Vsm7VckJCQj5UhEkQhI92qwaHRUCMQqGIYC4IfBB4+E/ucwz4HJAH7ALO/yOsN/wgLy8vPDw86OjouKYaob+/PxEREeTn57Nq1SpgLkB7+OGH+dWvfoXRaCQ4OJivZUTzs+dfwOQajFfCcgZxZxoHivvMFPe1Aiq8FJPcG+fEZGMBV0uvsH37drnD9Pjjj9Pb2ysHY0VFRRQXF+Pj44O/vz+enp64uLiwceNG+vr6ePXVV/H29ub+++8nMjKSM2fOUFVVRVpaGq2trWi1WgICArjnnnt44YUXSElJ4fDhw2zdulUODGFuj0BfX1/Wrl0rXzc9PY0kSXR2dhISEkJAQADu7u4sWrSI9957j6CgIPbs2cOmTZvIyMigsbGR2267je7ubsLDwxkeHiY6Olou3a9QKHB1dcXDw4Ph4WHa29uJjIxEo9Hg4eGBs7OzvP/X2NgYbm5urFu3jqCgIFavXi2voRodHeVOq5Vjx45T1T2Gb1gMZZn7SUmIJV43zeVLxSxdupSysjISEhLYv38/ycnJXLp0iZmZGcbHxzGZTCxfvpzq6moCAwP51a9+xV133UVTUxOrVq2SU2HS09Mxm82UlJTQ0NBAXV0dy5bNsEY/w48f3EptXT2/+91z3HX3XZQWFaLz82PNmg2kpqaiVquJiIhgdHQUDw8PgoKC8Pb2xtfXl/r6eh599FEaGxtpa2vDYrEwMjJCREQEGzduxGAw4OXlxY4dO3BwcKCtrQ03Nzc2bdrElSuX2RXpQm1HA2nvd3qDg4MxGo3yFikBAQFs3bqVqqoqeZ/FiYkJVqxYQWFhIcuWLZMr2KWlpZGWlsZPf/pTVCrVXPVCmw0nJyf279+PRqPh3LlztLW1yVUJ9Xq9nG7s6+tLbm4uoaGhjI6OolAo2LVrFyaTidraWrmQwR133EFeXh5Wq5WnnnpK3mNr69atlJeXs3TpUtra2jAaRrHUF/KdJ5/k6tWraKe1nD1bT0xMDIGBgQwODuLi4kJ6ejq5ublUVFSwYsUKKisreeqppygoKJC3b9iwYQPnz5+nv7+f4uJiQsxmXvy3+2nq6mNwcJimlhZK8q+yZe0K+vv7iPOJo3l8BJOfA0/fdT8vvPACq8OjcPUKwFWa5evbvkZxcTG3L7sdSZIwmUzsXBRMZ08/R85k46aSUE2PcPxcHoGBgbS0tBAeHo63t7ecguXl5UXBpXOMjOxnYmKCsLAwurq62LlzJ01NTZSWluLl5cW5c+f4/Oc/z+rVq0lPT6e4uBibzcaOHTs4cuQIyTYjwe2nePqhz+Om96Ak+xgajYaLV7Np9l7BgMmXY7VjAHg6wKIAB5KiQhnt6yTn5CG+cMcqHn/0UV555RU8PYMYHx+Xsw/6+vrkfVcTEhKYmZmR92UEiIyMpLW1lZSUlGu+P+eLCd19992Mjo7i5ubG2bNn5f0V7XY799xzD1NTU5w9e5bt27ejUqnkqo2AvCWIh4eHnKkxP0A1P4Dy8MMPo1arsVqt7N+/n7vvvpvMzEyeWh7L6dOnycnJ4es/+xnt7e2Mj49jNpupqKhg5cqVXLhwgaKiIqKioggMDESr1RIbG4uHhwdnzpxBpVLxhZWh9M1qyKlqxTsiidzmYYYtWr6X3c+mtV+koK2X4YVzbXZW2UgwlhGiNaB31jOEgVplOFrLJDETpRw/PMW+3dMYjUYqKyu57777WLBggZymNx/UJCQk8M477+Do6Mj9qxKxHz7GZORG2sZtvPz5lYx3N6JSqWhoaGDhwoV0d3ezevVqurq6eOyxxwgLCyMqKora2lqOHDlCf38/Tk5O1NTUyLf/8pe/ZPv27ajVapKTkxkdHeXkyZOEhYXR09NDf38/CoWC/fv3X7OubWRkhLVr1zI2Nsbs7CySJFFfX8/58+dx6uhg5dYkrvRY+O6FUfTWURSWQGZ8E5ma0uKiUXBHoInBkTHG7Q5YVE5gmaa/s42QoACGJkyEx6cyMWunu7cPbz9/3F2c2R7tyIXdB4mKiqKqqorMzEy8vLxYv349er0eHx8feaue22+/HaVSSW9vL2NjY/zLs9/Aa98RXqqVMCjdGJyyMTg1iaNKIrQ/l2/sWouDgwPKffto7DDg4uLMxoxUZjry6DaZWLx4MdHR0XR2dpKWloaLi4ucDQOwa9cueVAtMTGRiYkJpkpL+fV313H48GEu5max7aHP896JTGwqLUmpi1CbjSxPjsLBNs3Y6AiDg3Ov0/rlixnr62RkZITeyXH6DQYuXbqEl5eXvL1WWFgY9/o6cWTYB28XB1y6rrIt3gPjuIEo3yjSgnSsilnAF9dE8vsLzYxMmYnxdSXGz4WmKycJUTuijojA39+fb3zjG5SXl9PY2Eh0dPTc8hRjKyemoxicdeWcKh36jbhIJn75YDrP/+FV1H5RVJt9KBl3YmR4iAsXf4DPil0cHPRGQkGkq53bvA0MNjYQEhWOQqEgLS3tQ0W7BEH4aLfkMIokSVbgK0AmUAfslySpRqFQ/KdCodjx/t1eA7wUCkUz8Czw7ZvT2r+t+ap+Dg7Xpn/Mb4Y+vxE9wNatW/H09KS8vJwlS5YwNDTE0qQoHl4Wwa92pZDzL6tJ7ThIBo2s9J5lq1MLSb2nqDzzLlqtRt4XKiQkhO9///s0NDSQkpJCfHw8PT09xMXFYTKZGBoawmg04u7uTnJyMpcvX+bKlSsEBQXx5S9/mbi4ODQajbw2qKSkhNLSUhYsWIBCoSAwMJDo6Gj6+vqYnp5m5cqV1zy3+Q2HPyg1NZXAwEAWLVrEl770JZYvX87U1BStra2sXLmS4eFheQRxvmR+Y2PjXIEdk4mZmRkUCgXBwcG4uLgQFBSEh4cHUVFRDA0NUVZWRlpa2jWPV1tbK5fP3rJlC1/4whfmCjLExhIREUF5eTn+/v44OzsTGBhAWoQPCe42UhPjCAkJobu7G61WO5f+ZDTy5ptvEhgYKHdiLRaLvMF7bGwser2exsZGenp6qK+vZ2RkhJaWFi5fvixvZr106VI5cGtra+ONN95geHgYZ52Oxvo6PNxdiQoPo6KiAnd3d7q7uykvL8doNHLPPfcQGBhISEgIVquVlJQURkZGcHFxITk5mdzcXNLS0pAkiTvuuAO9Xs/w8DADAwPce++93H777VitVu644w62b9/O008/Le+jV1tby+rVqykoKODQoUP4+/vj7+9PXV0dR44cYenSpURHRzM2NoZaraatrY1t27bh5eXFbbfdxoIFC7jrrrsoLS2VNzcOCAggPDwcNzc3pqenUavVSJLEnXfeyXe/+136+vr45je/SVJSEikpKZhMJo4cOUJoaChPPfUUhYWFREZGyutI09PTCQkJIS4uTt4XcevWrcTGxrJ9+3aKi4tJSEigvb2dxsZGOjs72bJlCzMzM+Tl5ZGUlISzszOXL19GoVCg0Wj4/9l77/Co7jvf/zWj3nvvvaOCCgghBAghRBFgwCYuSezETuJNsil7N7vJJr43yfXmltzdJPtLNptkd+PYG9t0kKgSAiGBekG9995HGo2kmTm/P+Q5YSwBAoPB9nk9jx+jOWfOfE//ftr7MzY2JqYuf/3rX8fc3Jy8vDxSUlKwtbUlPj6ehoYG8vPzKS0tZd++fTg7OxMbG8sLL7xAUeE12m9XsCUhitggL1KTYjEyMuTo0aPs27cPf39/RkdHycrKIiwsDMX4CL6OFkxNTfLOO+/Q0tJCa2srV69e5b333qO/v5/SmzfYEh+FlZUVdXV1REREMDw8LPYTtLCwYGRkhJmZGX784x9z8OBBAHbu3MkXv/hFnn/+eZycnEhMTKS9vZ3u7m6CgoIIDAzE19cXtVotOmYsLCywsLDgl7/8Jbt378bJWE1r6VWsrCyZmZnhH/72OwQN5ZNk1IP/Uic/z/Kg4o0sfv+VdL69I5jnEzx48+vP4+XhRl5enqg0mJycTEdHB21tbXz5y18mISGB1157jZCQEAICAujt7RXvVZ3Br2NycpLi4mIx9fS9995jenoaa2trXFxccHNz4ytf+Qpf+tKX8PHxITw8HCcnJ06ePEllZSW5ubliKnlpaSlmZmb09vaKx6+8vBwXFxc0Gg1paWnipNPQ0JDAwECam5vZsWMHtbW1YtR7cnISHx8f/P39KSgowMjICFtbW/z9/VlYWMDa2lqMlgFs3bqV0dFRzMzMUCgUZCaG4THfyddT3HnBqY8oupAJGq60zzKotcZQu8TBUHNSZgo4uiWSffv2sbCwgL+Vlq+ELOI/VkxtVQU7duwgOzubf/7nf2bfvn3k5eWhUCiws7MTDUOAwcFBtm3bxjvvvMPAwAAb10fz21e3cv0Hy+e4vr6epqYmNm3axOHDh9FqtahUKgRBICUlhcHBQUJDQ9m2bRtvvvkmf/zjH9m/fz/x8fFUVVVRXl7OCy+8IGZ/LC0tYWhoyOnTp4mKiiIxMZHTp09TVlaGp6cne/fuJS4uDrlczuTkJEVFRYyPj/P73/+ey5cv4+3tjY+PDw729kTN1xBkOosWOROGjoy7b2DO0BoPSxlf8Z/m75/fQajxBO6jpXwx3ACDmpNssplCVXkar7FSgseLOOo2xg9TrLnwnXT+KlyN7VwvGzduxNXVFV9fX7EfoEqlwsTEhJKSEmQyGd7e3mKfw1u3brFx40bMzMzYkZLATlkN6RPnePtoEL89GsmJV6JxUHZjamrK4OAghw4dwtFEi5FqiuzsbBwcljN2Nm7ciEajYXBwEE9PTxwcHFYorU5MTIjCThqNBl9fXwoKChgYGMDV0Y7sTeuIcTFiqe0myrorDFTmMdReT011FW+//TZtbW00NTXh5uYm3uuCIGBqulw2Ym1tTVBQED4+PshkMryMZnnevBaX8l+T7mfGK1/8AnK5nLm5OQYGBgAIdrHin56L5a1Xkvjh3nAiTKeY7mtjy5YtCILASy+9hK2tLSkpKRw9epShoSF8fHxYH+JN1OgVnM2Xp6e2060ctmlnV6wf4daLWLbn8e0ECwxlAl1G3lQ6pPNem4CAjD2+cl7xVfDFAzsxMTERSxNMTU2RkJBYO0+lcQggCEKuIAjBgiAECILw0w8++6EgCGc++LdKEITDgiAECoKQqFM2/bRhZ2dHaGjois/lcjlxcXGUl5eLn83MzJCWloZGo+HMmTM4OTnx3HPP4efnJzZnjvB1pe/6+5g0nGO2tRQDuZyDBw9iYWHBzp07sbGxEY2n5557Dl9fX3x8fBgaGqK9vZ3vf//7XLt2jfLycoqKihgZGSEhIQFXV1dSU1P1Cr5tbW1JTk6mqKiIzs5OsSYMIDw8nHXr1vHcc8+t8OitZhwCJCcns2PHDuzs7LC3t2fjxo2igXb06FExzXBiYgJ/f3+am5fbIehaSsTGxhIZGYmpqSnm5uaoVCqxsX1LSwvr168Xf0uXblpeXo5SqSQ+Ph4vLy8aGhrw8vLSO/YDAwN4eHgQEBAgKtzp0lgOHTpEeHg4kZGRzMzM4OjoSGVlJaampri7u2Npaclf/dVf8fnPfx5YVqr90Y9+xK1bt4iOjmZ4eJgzZ87wk5/8hEuXLomCOC0tLcTExNDb28v169f5xS9+QUVFBT4+PlRUVBAbG8s3vvENjh49ip+fH7dv3+bSpUuo1WqxpYmvry+NjY1ERUVRWVnJwsICiYmJZGZm4ubmxqZNm5ibm2Pnzp2iYTY6Oiq2MnByciIwMFCMotbW1mJgYICXlxf9/f34+vri7u6Or68vbm5uhIaGMjQ0xNLSEh0dHURGRnLkyBE2btwIgJmZGVu3biUvL4+jR4+yefNmQkJC2Lp1K0ePHuX555/n+eefJzw8nNu3bxMZGUlbWxuDg4P85je/YWBggP379xMaGkpXVxexsbG0t7dTXV1NdHQ0gYGBVFdXs3fvXoaHh/nc5z6HpaWluC8RERGiYNLbb79NRkYGMzMz/OhHP0IQBE6dOsXs7Cy7d+9m8+bNNDY2isrB/f39uLi4EBcXh5OTE2NjYwwMDFBVVYW7uztmZmYEBARw6dIl3N3duXbtGpGRkezYsYOqqirs7e3ZtGkTWVlZNDY2EhgYiIWFBX19fQQHB4uRl4MHDzI/P89rr73G8ePH6e/v5+/+7u9YWlpi3759/Md//AempqZoNBo6OjrESG1DQwM+Pj6UlpbyL//yLwwMDBAfH8+1a9ewt7dnx44dBAcH6xkIhoaGHDlyhN27d7NhwwYqKytxd3dnYGCAzMxMwsPDgeX+rAEBAQQEBNDR0cFzzz3Hiy++SFpaGuPj42Tv20eGrzGvJ7txMDUGrVbLwMAA/f39XL9+XRTV6OjoYGxsjNnZWd577z0WFxfZsGGDOHnUGU/e3t709PSI47S3t2dpaYlLly7xzjvvUFhYiImJCRkZGajVapydnfnSl76EnZ0dfn5+/OhHPxL7yWk0GhoaGujs7KS1tZWGhgbi4+PRaDT87Gc/o7S0FEEQWFxcpK2tTWzb4erqyrPPPsv8/LzeMyoqKko0qFNTU3F0dMTLy4uKigrc3d0JDw8nNzeXxMREhoaG8Pf35/nnnxcdZXc+383NzcVo3o0bN8jKyqK0tJSNSYlY9xbzmu8kqb4WxBr0EtX9PtSe5Ssvv8jCwgLJyckkJyczMDCAn58fwcHBBAYGMjs7i5mZGT4+Prz66qu4uLjwf/7P/1nxrO3u7kahUCCTybCzs8PNzY2hoSG0Wi3Xrl0Tr+nk5GS8vb154YUXuHbtmuj40j3Dk5OTcXV1xcnJiS996Uts2bIFe3t7NBoN6enpRERE8PWvf52XXnqJI0eOMDMzw8zMDHl5edy4cYNNmzaRlJTE4uIiMpmMtLQ0TE1NxWwLFxcXsrOzMTAwwM7ODjMzMxrqbnPqb/ZQ/v3t/Pr5OMKNRkmwmCSsL5eJ3lasrKzIyMigsbGR5uZmrK2tiY+PJzExkYCAAJKSkpifn2fDhg10dXWJtetWVla8/PLL/PVf/zWJiYkcOXKEw4cPY2tri1qtxs7ODrVazdTUFK2traIzAiAwMBBbW1vMTIyoKbpCrLs5taVFYnaLh4cHExMT/OAHP+Db3/42jY2N9PX1YWNjg1wup7i4GFdXVwwMDFacK51R2t3dDSC+f3Jycrh+/TrT09PcunWLyMhIenp60Gg0fOc73yEoaLmtw7p16/D29iY2NhalUklgYCDx8fG88MILywrCxcWkpKQQHR1NcHAwX/7yl0lJSaG2qgLV/Dzf+MY3sLGxIT09naamJvr6/pJG2tHRQX5+PpcvX+att94iMzOTsrIyfHx8GBsbE58zVlZWYkaJQqGgqbyIV33G+R8plqxfqqOrtUmMujs4OJDobUWWdT9ytEwb2CAXtGwz6+H1Lb54enrg7OzMxo0baWhoYH5+XtQqkJCQWBtSnP0TTEBAADU1NYyNjeHo6EhNTQ3Z2dn4+PgQGhoqTt7y8/NxdXVldnZWlOTXNQb+13/9Vy5fvkxFRQUODg4kJydTV1eHWq0WjTa5XE5SUhI2NjY4Ojqyfft2Kisreemll8Raw4GBATZv3rxijAkJCRQXF6PRaMQXpW7sxcXFbN++XW99lUqFRqPRqx/SIZPJ9CavuprEqqqqD5qwj3LhwgUxamRubs7AwABFRUW8+OKLhIaGsri4iJOTE4ODg2KESqVSiWITOtzc3JDL5TQ1NXHo0CFkMhkKhQJHR0empqaIj4/n7NmzaDQaPQnyM2fO8NJLL6HRaCgpKcHV1RWNRkN+fj4vvfQSs7OzlJaW8v3vf39ZVU2rZcOGDSwtLTE8PMyuXbuwtbXF0tKSpKQkfvWrX7Fjxw4sLCw4e/YsZ86cwcLCAjc3N2QyGQcPHmRxcVGcBL/66qscP34cf39/ZDIZBgYG+Pn54efnx9zcHGVlZfz+979Hq9Xi5OQk1oYWFBSwfft2nJ2dGRpaFg1wcHBgx44d4jGZmJjA1tZWb4Kyb98+/u3f/g0fHx8WFxdpaWnB1dWV7du3Y21tzbVr16itraW8vJyAgACsra2prKwUJwTZ2dl659jFxUWsz9u5c+eKyZBKpeLixYts2LABY2Nj+vr6SEhIYGlpibS0NADUajXl5eXs2rWLqqoqBgYGSEtLE9MRAwICqKqqYmZmBhsbG2A52qSLhFVXV/Otb32LkpISNm/ejLe3N1/5ylfIzc3lvffeY9OmTUxOTmJrays6MZKTk7l586bYDy4jI4O8vDz8/Px49dVX+fd//3du3rxJcXExSqUSAwMD3n77bTZt2kRgYCBNTU24uLgwNjYmqvVOT08zPT3N5z//ea5cuYKNjQ3x8fFs2rSJU6dO4e7uzvj4OAkJCVRWVoqT0cnJSW7fvi1G23VNz3t7e6mtrcXf35833nhDzAwwNDRk3bp1YsT3TnQ1OjExMbz11lscPnxYjJwCaDQalEolu3fvpqCgQEwT1H3n2LFjWFhYsH79ejw8PIDlJtsKhYL5+Xkxpbu2tpaamhri4+NJS0sjNzeX9PR0Ll++jIeHh57TydnZmYmJCb1nlK6B9uuvvy5+plQqGRwc5PXXXxebxL/22mvY29tjZ2fHxYsXAfDw8GDfvn2YmZmRk5PD2NiYmIatiwbeuHGDmzdvMjU1RW9vLy+99BImJiZiRoUOMzMz9u7dy8WLF3F1dcXT0xNXV1fOnz/PN77xDRobG/Hy8mJubo6hoSHc3d3p6upiy5YtXLlyhT179jA6OsrVq1fZvXs3ubm5AMzNzREWFoa/vz+XLl1aPk4b1uHf2sqMoSE3h0w5cOAACoWCdevWYWJiQnx8PDU1NeTk5DA8PMyePXuIjIxEq9XS09ODQqHg9ddf51vf+hYXLlwgMzNTvBfOnDnD5z73OY4cOUJlZSVFRUXMzc0xOTmJo6MjIyMjGBkZic/J0NBQ3nrrLWxsbFhaWkKpVGJra8uHcXV1Ze/evaSmpor3nu4aS05O5qWXXsLMzAxLS0u+//3vExwczOXLl5mcnMTFxQVjY2OeffZZrly5gpWVFfPz89y8eRNvb2/Ky8txdHTE0dGR8vJytmzZwiYfC/p91NjZWWGbfIA//elPXLhwgdDQULy9vcVaSblcLhrxUVFRuLi44OzszIkTJ0hJSWFmZgZbW1txrFu2bOH9998nOjqamJgYIiMjefPNN5HL5Zw8eRJTU1PuVEavr68nPDycoKAgioqKOHfuHCUlJfyP//E/mJ+fR6lUolQqiY6OBhD7B9bV1Yl193dGCz+Mn58f9fX1BAUFERQURE1NDd7e3igUCpKSkujv76ewsJDAwEDxnLW0tJCVlcX/+l//CxsbG4KDg3n33XeZn5/HyckJW1tb0tPTqaysJDg4mO7ubi5dusS5c+dwdnbm0KFDWFtb09XVRVhYGPHx8Zw8eZKCggKcnZ2ZnZ2lrq6OHTt20NjYyObNm9m8eTPf//732bBhA4WFhXh6eorP+JCQEDE9Nisri/GhfsxnJjEzNcXf358333wTmUxGWFgYzc3NLHRVcijEhCHrEBaqzrIx0I/h4WE959HS0hKWlpa0t7eL+y3xaPgobRIknn4k4/ATjEwmIz4+nrKyMjZt2sTExATbt29HLpfredbXr1/P+fPnOXLkCBMTE0xPT+Pt7Y2HhwdjY2MsLi7i6enJ5z//eQwMDJiZmaG9vV1v0hMQECD+++WXX8bExET0JN++fZuIiIhVH7yGhoY8++yzTE1N6U3wHB0dmZ+fXyEkMTAwgJub25qPQXR0NO+//z5hYWEMDQ1hb2+Pg4MDTk5OKJVK8vPzWVpaIjg4GIDh4WEx8pScnMzo6CgTExPiS1mHXC4nMTERX19fMSWlra2NTZs20dLSQnh4OLa2tjQ1NTEyMsLWrVspKSnBy8tLjKzpDJ/GxkZcXFxEQ0I3FlNTU/bt24eRkRG5ubnExMSIE6r09HQAQkNDqaur4wtf+ALBwcGcO3eOnJwc7OzscHFxwc7ODh8fH/r6+ujs7KSwsBCAiIiIFcfKwsKCtLQ0TExMKCsrY2BggMOHDxMcHEx/f79oRCoUCvr6+mhqatKLpg4ODq44NxkZGdy4cUOMjiqVSi5dukRSUhJarZb+/n6OHDlCTk4OW7ZsEdP37qUaHB4ezvT0NH/+85+RyWRYWlqi1WqZnZ3FwMCAmJi/CD64u7ujUqk4ffo0sGwYXr16FX9/f2xsbEhOTmZmZkaMxOii8KGhoTQ1NYktEKampsQJ0AsvvAAsG8c5OTnY2tqKE/2YmBi2bt1KT08Pqamp4pg9PT1pamrSuwaee+45cfnmzZvRaDS89tprVFZWcu3aNebm5qisrGTXrl2cPHmSxcVFBgcHkclknDp1Cmtra2xtbQkJCeHs2bN4eXkxNDREamoqcrkcBwcHQkJCCA8Pp6amhnfeeYdvfvOb2Nra8tOf/lR0vFy+fFl0BsTExLBx40ba2tqor69ndHSU9PR05ubmsLW1vWtdjpfXsj5YT08P5ubmTE1NYWtrS1tbGy4uLhQVFZGSkqJXr6fra6aLlvr7+9PX17ccTczOpqCggKNHj+Lv709/fz8WFhaYmJgwMzNDUlISNTU1WFparkipl8lkuLm5MTAwgLe3N7DsNDAyMtIbv25CbmVlRW9vL+bm5tjb24vXzbZt2zAzM8PKykrvej5z5gzm5uYcPnxY3N7o6Ci3bt2iqKiItLQ0wsLCmJ2dpbq6esWxMjExYffu3eTn52NgYEBYWBhnzpyht7eX6upqDhw4QHFxMQ0NDcTFxaFUKsnIyKC4uJicnByUSiXp6ek4OjoyPDxMSUkJzz33HE5OTshkMnbt2kVPTw8GBgbMzc2J2Rv9/f3I5XKxDt3V1ZWAgAAx4j0/P09JSQm2trZYWVlhaWlJfX09Bw4c4De/+Q329vYolUoqKipYt26deG8kJibi7OzMr3/9a2ZnZ9m1axf/9E//xP79+8VnfmNjI2lpadTX1xMQELDCyfBhdIbhnRgYGJCdnY2pqameYakTC9M5F62srNi3bx83b96kpaVFdJT4+/sTEhIiKi0PDw/T1dVFUlISg4ODdHV18fWvf50//OEPTE1N8fLLL/Pee+8xNzeHl5cXfn5+GBsbc+HCBSIiIujp6cHMzAxnZ2daW1uxs7PTG6suQyIoKIjp6WliYmLYtGkTf//3f49SqWRpaQkHBwex3nfv3r0YGxuzsLBAfn4+SqUSc3NzLCwsuHnzpvhegGUHiLm5OWlpaWRkZNzzWMKyM7OgoIClpSWMjY3x8vISa9jDw8PFSOTWrVuRy+X86U9/4stf/rJ4/avVav793/+duro6vvWtb+Hl5cU777zDvn37GBkZoaGhgcTEROLi4jAyMhJVgj08PKipqRFLSXbs2MEbb7whOryCgoIYGBhgbGyMgwcP0tTUhLm5uTjnaGpqEt9VBgYGmJmZUVBQwBe/+EWuX7+OgYEBlpaWREVF8W//9m8sLi4yPDwsOli2eZgxN9dIrZGStrY2rl+/zptvvkl5eTkbN27k1q1bbNmyZVVHhYSExN2RjMNPOD4+PlRVVZGfn09UVBQymQxnZ2fKysrEdWxsbHB3d6esrIzOzk7CwsJYXFzklVdeEVOg9u/fL3rwwsPDuXbtmp5xeCempqY4ODjg7e3N9evXGRgY4NChQ3cdo05l9cPo0tDuFJK4W0rp3TA0NGT9+vWcPXsWFxcXtm7dSk1NDUlJSbz33nu0tLSwceNGcRIzNDSEh4cHTk5OVFVVodFo2L1796qpuwkJCeTn56PVasUUxqysLC5dusTU1BQhISGcPHmS6OhoFAoFp06dEo1U3eRoaWmJ2traFREyWJ5w9/b2imIZq40hMTGRn//851RUVHD79m3GxsbIzs4mJiaG4uJikpKScHJyorGxka1bt4pe1dWO953b7O7uRqvVUldXh6mpKZOTk2zfvh1jY2NMTEywsLDg1KlTxMbGisducHBwhdHp5ubG3/7t3+oZvDrBnYiICBwdHXFxceH5558XJ/keHh739IIDbNy4Uay1USgUGBgYYGFhsaoDwtTUFENDQ8bHxykqKsLNzY2EhAQAjI2NRSGROwkODubkyZN4e3vj5ubG1NQUHh4eorPA3t5eTD+7ePEimZmZVFVV4evrS3h4uBiV//CY3333XbZt27Zi2Z1G9saNG9FqtZiYmNDa2kp3dzfGxsZiVDsoKIjZ2VmuXLmCp6cnt2/fxtraWqw7WlxcpKurS4xE1dbWiunUZ8+excTEBK1Wy/nz53F2dqaqqoqvf/3rYiR0fHycpqYmjhw5QmlpKfn5+Tg6Ot7zvjM1NRXbCURERDAwMICNjQ01NTUYGRnh7+8vGpB34u/vj6mpKU1NTURFRVFUVMSOHTtYWFhgaGhIjPbW19cTERGBq6srJ0+eJCUlhfz8fCIjI1dsU6lU4unpSU9PD97e3qKTyd3dXXRgLC0t0drayjPPPAMsq+DeWVMMyxPw1fZT9yy8M2p94MABcnJy0Gq1vPjiiwBYWloyPz+vF8HUYWBgQHp6OouLi9TX1xMSEiKm1fn7+2Nubs7c3BypqamYmpoil8vZuHEjt2/fJiwsTLxXNmzYQFFREWq1GplMxuLiIhMTE7i6uooOvLa2Nl566SWampoIDg7Wu0fWrVvHtWvX8PT0JCMjAwcHBz0nXVRUFAUFBTg6OvKLX/yC0NBQkpKSCAsLA0AQBLGGbd26dWRmZi73BLWyIiYmBlhWem1ubmb//v2ik+ZBnuF3sppRaW9vz8jIyIrj6+HhgY2NDV/5ylfYvHkzJiYm3Lhxg6amJkJDQ7l27RqLi4scPnwYFxcXzp49yxe+8AVSU1M5f/483/zmN/Hy8iIhIUE0qHft2sXrr7+OSqVCLpeLz21dpsCdeHh40NXVJbY90dWxp6SkEBERwe3bt5HJZPzhD3/gu9/9rnhOP/e5z7GwsICnpyc5OTksLCzQ0NDAT37yE3HbuppPXR/G+6GLfPb09BAQEEBERAQXLlxg165djI+Po1AoOHr0KNPT0/T29mJvb8/CwgKTk5MkJSVx5swZPDw82LNnD15eXigUCkxNTbG0tOSLX/wiZmZmK5y7Dg4OXLlyBRcXF1pbW8X5wsTEBO+99544/tOnT3PgwAGMjY3FeYWzszPx8fGcO3eO0NBQ0SmtVCp5/vnnaWxsFCP88fHxtLa24uzszM9+9jPefvttent78fDw4He/+x1LS0t88YtfxMTEBCMjI06ePImnp6eoLCwZhhISD44UY/8UkJiYyOzsrFhDYG5ujkajYXHxL7114uLiRK+ut7c34eHh+Pv7Y2xsjLu7uziZhuWIiaGh4YoXso7Ozk58fX3ZsGEDMzMzBAYG6okprJXAwEAaGxv1agEGBwcfeGKhK5TftGmTKChy8uRJBgcH0Wg0eqmrw8PDuLq6smHDBvbt28e+ffuIiIhYtZbDxcWFAwcOMDExwbFjx8R0p+DgYE6dOsXMzAxNTU0kJibyzjvvsG7dOrKysigqKhL3qa6uDn9//1XTZL29vamoqGBoaGiFKI8ODw8PLC0tKS4uRi6Xs337dnbu3ImHhweHDx/Gzc0NQ0NDUbDE0NCQiIiIVT3zOgwMDEhJSWHnzp1kZ2fT2NiIs7Oz3jk0MzPDxcWFrq4u8bORkZEVE2q5XK7n8QbE1LXr16+LRuCd0Z/du3frRZjuhYGBgRjpuFdKkIeHB2fOnCEgIEDvWr4bxsbGZGRkUFBQwNTUlDj58/HxEWt3YHliunnzZk6cOMHExMRdHSawHJnNzs4Wo1n3Ijg4mIGBAWJjY3FzcyMlJQVBEIiJicHBwYH+/n7MzMz4/Oc/z9zcHCkpKXh6eopp0k5OToSGhrJ//37c3Nx49tlneeWVV0QBiR/84AeiqIezszN+fn4EBARQXV3NtWvXSE9Px9jYmE2bNmFsbEx5ebmY9nk3Nm/eTH9/P9PT0wwMDNDd3S2qxX7Y8LqTHTt2UFZWRklJCYGBgdjb29Pc3CwaMnNzc0xMTODl5YWxsTFbtmyhqKgIT09PBgcHxfOhUqnIz8/n9OnTFBUV8ec//5nz589TVVVFcHAwiYmJolOssbERf39/TExMGB0dFcWf1oKxsfGK54GVlRXPPfccR44c0buWHR0dxdqpDyOTyTAxMWFwcFBUTL0z5TUkJARHR0ex7lUXFb9z+/b29oSGhnLlyhUqKys5duyYqNjZ09NDd3c3gYGBODg4kJ6evuLaMzMzEyOZjo6OK5qA6+6DI0eO4ODgwMaNG9mxYweenp4IgsC1a9c4efIkExMTdHZ28tvf/paTJ0+Kqfazs7OcPXuWuLg4zM3NCQkJoaWl5aGNw9XQRQ51aLVabt26RXV1Na+++irp6eniMUtISGBmZoapqSkWFxdZWloSRY58fX1pa2vDwcGBdevWMTQ0RFdXl2gY6o6XLrrX0dEhZoHoIuV34ubmxuDgIAC9vb24u7szPDyMg4MDsbGxHDx4EHNzc77yla+IAkmwfF28/PLLZGRk4OjoyO3bt7G1tRWzfYaHhzE1NWXLli2rOkfuhr+/P7du3eLs2bPcuHGD2NhYNm7cyMjICG5ubsTGxvLcc8/h5eWFh4cHOTk5NDY2MjAwwJYtWxgfH2dqagqtViu+J2F5PrFa83g7Ozvxv+rqagoLCykoKOCHP/wh4eHhWFtbY2pqSl1dHUZGRty+fRtBEDAyMsLPzw9LS0vc3d1paWkB4Pr16yQlJZGQkIC/vz/19fUolUoxW+Wb3/wmFhYW7Nmzh4iICMLDw/Hw8CA+Pp4dO3YgCALbt2+nvb2d2dlZhoeHV3UMSkhI3B8pcvgpwN3dfYWwi7Ozs5h+Acte7hdeeIEzZ86QmZlJTU0NV65cwdHRkW9+85srHv7h4eE0NDSsMAZ0kbCMjAzkcjm7d+9e9cWxFnTpeg0NDWJKoiAImJubP9B2ZDKZ3gv+0KFDyOVyDAwMOH36NENDQ1hbW6PVapmamsLOzk6Urb8fpqampKWlMTAwoBdZDQ4OxtDQkK6uLq5du8b4+Dgvvvgi1tbWODg40NDQQFBQEI2NjaIa5Idxc3PDwsKCbdu23XMsL774olhneDce1Dt6Z2Rx3759aDSaFetERkZy6dIliouLEQQBd3f3NcuBb9myhcuXL+Pj4/NA43pYwsLC7hqhvht2dnZs2bKFixcvsri4iI2NDT4+PhQUFOiJJ3l6euLk5ERnZyd+fn733OZaPf1OTk4sLCzg7u6OhYUF7777Lrt37xabrJeVleHg4ICvr6+YQuvp6UlBQQE5OTkcPnwYWL72/fz8xLofPz8/mpqacHJyorS0lEOHDhETEyPWhb377rts375dTK+UyWRs3rwZFxcXcSJ8N3x9fdm5cyfvvfeeKHLj4OCg13JmNXQOjp6eHp577jmx9YCucX1jYyOhoaHic8TV1RV/f39aWlrElOSRkRHa2tqIiopi69atyGQysYXAH//4R/7mb/5GvD6vXbtGf38/2dnZCIJARUWFGOX6KKwW/Xd2dmZ0dFScSOvEa3TGiq5PZ1ZWFkFBQeTm5mJra0t/f/+ar9X09HR+9atfER4ezjPPPINGo+HEiRNi9LexsREzMzNaW1txcXHRc7zcvn2bzMxMvbKA1cjIyMDc3JzCwkICAgLw8fGhsLAQtVot9n1NSkqitrYWtVrN0NAQFhYW5OXlsWHDBr0WGMPDw2t2/qwFW1tbUZV7bm6OvLw87O3t2bdv34rnpomJCdu3b+f9998nKiqKubk5lEolvb29bNu2jaqqKkxMTDAxMSE4OJisrCy9Z1pVVZUYJc7IyBDfTVNTU5ibm4uiTK6urpiYmKDRaHj33Xexs7PD2dmZ0tJS8VhYWlqKkXF7e3suXLjAzp07xXtPrVYzMjLCK6+8gqWlJYWFhbi7u4uRzwfF09OTffv2iY5JMzMzDAwMiI+Pp7CwkMzMTAwNDXn55Zdpb2/n3Llz3Lx5ky996Utib1MbGxvOnTuHmZnZfbM7YNnpnJ+fj4eHBzMzM8THx3PgwAGioqJobm5GrVZz9OhRfv3rX5OWloaNjQ0qlUp0YsTExJCbm4sgCBgbG4vXaUJCAgUFBQwPD1NRUcGGDRvEZa6urkRGRhIYGIijoyOurq784he/YNeuXQQEBGBnZ8fCwgJXrlxh3bp1D3wcJSQkJOPwU8OHJ+0uLi56xiFAc3OzmLZWVlZGSEjIit5gOvz8/CgtLRXrInSUlpYSGBgo1l+sxcC6F/Hx8Zw6dYqgoKCHihquxp0RsJ07d5KTkyNOJnVpVQ/a8+jOccnlcvE3IiIiqKio4ODBg+KEKCkpiZMnTzI+Pk5ISMhdZbQNDAzYt2/fqsvuJDAw8IHG+qDc7Xg4OzuL9XcPipmZ2Zr27VFhY2Nzz2jp3XB3dycuLo7a2lrkcjm2trYsLi6uqIU1NjbmhRdeeKST3uDgYFpaWrC0tMTLy4v4+Hhx2csvv8zs7Kze+jo5+Vu3bulFR4OCgiguLhbr4HT1wB0dHRw6dEhPtOXw4cN6tVOwfP7vFRG9k6SkJKqrq7lx4wb29va89tpraxJ5SElJwc/PD7lcTldXF/b29lhYWKDVamlpaeHAgQN668fFxREUFISVlRVZWVnU1NSwd+9eMcoGy8ZqX18fmzZt4saNGyQkJDA9PU1xcTF/+7d/i4WFBTdu3MDIyEhPyOphWW0/dX1CdVRUVIjprMbGxoyOjooROwsLCzIzMzl37hxqtXpNEW5YdiJt3bqV8fFxFhcXsbKyYnZ2VlSltba2pru7m4qKCuRyOfv27cPU1JSBgQFkMpkoNHM/kpOT6evr48SJE8TFxTE2NoZWq8XX1xdjY2NCQ0OZmZlh48aNqNVqzp8/z86dO/WExszMzMT2AY8KAwMDjIyMaG9vp7S0lISEhHs+E9etW8fbb78tttUoKSlhZGSEffv2MTs7K9ZXnz9/nueff178nkKhoLe3l+zsbKampggICKC2tpaAgADGx8c5f/48vr6+VFRUMDc3h5ubG52dnSQlJYl1gV1dXas+99zc3EhLS+PixYukpaXh5uZGTU0N/v7+oiGoS8cfHR3Vc3Y+CHfWz+oIDAzEyclJfA7IZDICAwP5xje+QWdnp2h07d+/H4DW1laKior0eivfDXt7e6ytrfHw8ECpVIrp9pGRkYyMjGBtbY2Pjw8XL15kbm4OIyMjXF1dxfentbU1rq6ulJWViQ4v3Rh37tzJrVu3cHFx0XNuyOVyMaLq4+NDe3s7sbGxjI+P09vbyxe+8AWxJ7NOjCs4OFjv2SEhIXFvJOPwU4qLiwslJSXi3/Pz89y+fVuMYj333HP3nNTpxCRycnLIzMzEysqKoaEhBgcH7xoJexh0IiFVVVUPlPq1VszMzMjKyiInJwcLC4v7CiU8KElJScjlcr2aMjMzM2JiYigvL9cTJZF4OgkKCtKbfOh6SOomIFqtlrGxsTUJQzzo7545cwa5XM7OnTv1lq1WvweI9aZ33ruOjo6oVCoaGxsxNzdnw4YN5OTksH379hVG/4cNw4fhxRdfpKmpiaNHj64Qi7kbbm5uNDQ0iKqJISEhHDt2jPn5eQIDA/Wa2sPyBFBn7FtbW6+qhOzt7U1ZWRm7d+/G3NycoqIiEhIScHBwYHR0lNraWubn59m+fftDZzfcDycnJ1EESteXNDAwkKKiIrZu3crg4KDeM8fKyor09HRu3779QL3X0tPTaW1t5ezZs7i7u4s1Yy0tLTg4OFBcXMzu3bsZGBjg4sWL7N69m8rKynum+34YnWH5b//2b1RXV+Pm5saWLVtwdXWlv7+fkpISjI2NCQwMFFsFfFTn4Fqxt7enoqJCVHO+FzKZjB07dqBSqRgZGeHMmTMYGxuzd+9eEhISCAoK4urVqyuEb3QRZjMzM/bv38/Vq1cJCwvj5MmTdHR08Mwzz4iZNLOzs/T19fHCCy+IPTYnJiYwMzO7a+aLm5sbO3fu5NKlS2Jk7c5a/cjISDo6OvDz83vkx3U1x5lcLl81oqx7Hq5V2TMuLo4rV64gl8v1MkVSU1PFGlRdT1yNRrMiIpmYmEhoaOiK4+br68vY2JgojLQaPj4+3Lp1i2eeeQYrKyu6urrw8fER1cd1/VLPnz9Pdnb2Q5W/SEh8FpGMw08p9vb2TE5OIggCMpmMiooKsccfrO4F/zBBQUEYGxuTk5PD1q1buX79uqh29ihZt24dx44dQ61W60VPHhXm5ubs3r2bc+fO3beu6kEJDAzE09NzxSQ8LCwMb29v6WX0CeHOa9rf35+ioiLROBwZGcHR0fGRX/fm5ubY2NhgaGi45qintbX1qtF+nUGyZ88e7O3tV7R9eZTo6qhqa2vF+rLo6OhVoxY6wsLCcHBwYGBgAF9fX7Zu3YqVldUKo/BBcHBwIDExUbyn9+zZI36uE6VIT09/rPL1xsbGyOVylEol165dIyUlBXd3d86dOyf24LzTcQTLBuVqokX3IygoCC8vL2pra9mzZw8lJSWcOHECX19fDh8+jLW1NdbW1igUCs6dO4dMJnvg5525uTlHjx5lYGCAqKgo0UjRiXj19vaKBtLHZRgCbNq0aYUa7b2IjY2lra1NFMxqamri7Nmz7Ny5E7VajYGBAcbGxmi1WuRyOa2trYyMjIgKxHZ2dhgYGODm5kZ3dzeZmZl6JRaWlpaEhoaiVqvFtPuurq773nP29vbs3buX8+fPExsbq/d+0EV5n4Z2Cw8yBp04ja+vr54TxtDQkN27dyOXy1lcXKS3txdgRamBubn5qga1jY3NilZXH8bKyoqjR4+KWR66iLK5ubkYwY6NjdUrE5CQkLg/knH4KUWXIjc5OYlMJmNgYEBsNv4g+Pj4YGpqysWLFwkJCblvXdLDoFMcramp+UiTxXthbm7OkSNHHvl2dS0SPoyuBYPEJw8HBwex95iuV+ajjmjrSE5OfuAU59UIDg5GqVSKUapHUWN3L0JCQggJCUGpVNLR0cHly5f1Wht8GCMjIzw8PCgrKyMjI2NVpdCHYbX9tLOzIyMj42Pra+bs7CwqvuqMsa1bt3LmzBm0Wu0jFcUwNTUV28AkJCTw/vvviz37dOj6ft6vPvZuODs7r3p+NmzYsOb040fNg74XdP0Odeiin+fPnweWaywrKiro6+uju7ubyclJ0ZDRERoaSltb2z2dfDrHzvj4OF1dXfc1ZmBZuOpu6t5rjcQ/bdzZD/dOdM5oY2NjMSX/UTtMVxN7e5qR+gNKfBKQjMNPMTpRmq6uLhISEh7a0+vi4sKRI0ceaxQsKChoTSqPEhIfB76+vnR1dREeHk5/f/+a6m8ehoepk1wNS0vLh65T+iiYm5sTGRnJ9PQ05eXl9+xf2d/fj6Gh4SNP7V6NBxEm+qg4OTnR19enl3ZsaWnJxo0b6ezsfGwGqqWlJa+//vqq9XeP43o1MjJ6ZEb9k8DDw4OMjAwmJydxcHDAz8+Py5cvExERwZ49e1acp4CAAMrLy3Fyclq1dc2d221ubkar1T6y+/nTSEJCwqrCZxISEk8fTz5/QeKx4eLiwu3btz+SF1mHrhfX4+ST6jWV+PTh7+9PR0cHarWamZkZUWFQYnWSkpLo6elhYGDgrus8aA3cJ4WgoCD27Nmzwnnm5+f3UOmjD0JERIT03HwAHBwcRGPa39+fPXv2sGHDhlXfbYaGhnh7e9PV1XXPWl0PDw8aGhoeWxr3pwVdz1sJCYmnH8k4/BTj4uLC1NTUQ6WTSkh8lnFycmJ2dpauri5cXFwem6DJpwVDQ0O2bdvG9evXUalUK5b39fWJ7VA+bRgbG0uNtj+BGBgY3NdYCQsLw8jI6J6pi46Ojo9MEVdCQkLiaUAyDj/FmJqacuTIkcdSJygh8WnHx8eHkpKSRy5i9GnF3t6edevWcenSJZaWlsTPp6enKSwsfCJprxISHwVHR8f7qnPL5XIOHDggNVyXkJD41CAZh59yJI+2hMTD4e/vz9zcnGQcPgDh4eF4e3tz/vx51Go18/PzXLx4kc2bN0upuRKfSNZSRyjVGkpISHyakARpJCQkJFbB2dmZxMTER9r4/rNATEwMWq2WCxcuoFariY6O/lgFYiQkJCQkPrsIgsDExARarfZJD+WpQC6Xiy2u1opkHEpISEisgkwme+wtIT6txMXFiSIfT6r9gYSEhMSTJsrDhq5/vLuKs8SjZ2JiAgsLC7GVymcdlUrFxMQEDg4Oa/6OZBxKSEhISDxyJMNaQkJCQuLjRqvVSobhHZiamqJQKB7oO1LNoYSEhISEhISEhISEhIRkHEpISEhISEhISEhISEhIaaUSEhISEhISEhISEp9CfL+X80i31/WPu++5fHx8nO3btwMwNDSEgYGB2FKutLQUY2PjB/7NpqYmvvjFL1JZWclPf/pTvvvd74rLLly4wDe/+U00Gg1f+tKX+N73vvfA2/8wknEoISEhISEhISEhISHxEXFwcKC6uhqAN954A0tLSz1j7mGwt7fnF7/4BadOndL7XKPR8Prrr3P58mU8PT1JSEhg3759hIeHf6Tfk9JKJSQkJCQkJCQkJCQknkKcnZ1JSEjAyMhI7/PS0lICAwPx9/fH2NiY5557jtOnT3/k35MihxISEhISEhISEhISEh8Tzz77LM3NzSs+//a3v81LL720pm309/fj5eUl/u3p6UlJSclHHptkHEpISEhISEhISEhISHxMvPvuu096CHdFMg4lJCQkJCQkJCQkJCQ+Jh5F5NDDw4Pe3l7x776+Pjw8PD7y2CTjUEJCQkJCQkJCQkJC4mPiUUQOExISaG1tpbOzEw8PD/785z/zzjvvfOTtSsahhISEhISEhISEhMSnjvu1nvgkMDQ0RHx8PDMzM8jlcv7pn/6JhoYGrK2t+dWvfsXOnTvRaDS8/PLLREREfOTfk4xDCQkJCQkJCQkJCQmJR8gbb7zxSLbj6upKX1/fqsuysrLIysp6JL+jQ2plISEhISEhISEhISEhISEZhxISEhISEhISEhISEhJPoXEok8nsZTLZZZlM1vrB/+3usp5GJpNVf/DfmY97nBISEhISEhISEhISEp8mnjrjEPgekCcIQhCQ98HfqzEvCELMB//t+/iGJyEhISEhISEhISHxtCGXy1GpVE96GE8NKpUKufzBzL2nUZAmG0j74N//CRQAf/ukBiMhISEhISEhISEh8fRjb2/PxMQECoXiSQ/lqUAul2Nvb/9A33kajUMXQRAGP/j3EOByl/VMZTJZOaAG/lEQhFOrrSSTyV4FXgU4d+7cIx6qhISEhISEhISExDK//e1v+e1vfwvAf//v//0Jj+azh0wmw8HB4UkP4xPNEzEOZTLZFcB1lUXfv/MPQRAEmUwm3GUzPoIg9MtkMn8gXyaT3RYEof3DKwmC8FvgtwClpaV325aEhISEhISEhITER+LVV1/l1VdfBaC0tPQJj0ZC4sF5IsahIAjpd1smk8mGZTKZmyAIgzKZzA0Yucs2+j/4f4dMJisAYoEVxqGEhISEhISEhISEhITE/XkaBWnOAJ//4N+fB05/eAWZTGYnk8lMPvi3I7AJaPjYRighISEhISEhISEhIfEpQyYIT1empUwmcwDeA7yBbuCIIAgTMpksHviKIAhfkslkycC/AlqWDdx/EgTh9/fb9vXr1wVTU9PHOHoJCQkJCQkJCQmJZaVIad4p8TSiUCiE7du3rxokfOoEaQRBGAe2r/J5OfClD/5dDEQ96LZNTU1JTEz8yGOUkJCQkJCQkJCQuBelpaXSvFPiqSQvL6/ybsuexrRSCQkJCQkJCQkJCQkJiY+Zp9Y4lMlkf5DJZCMymazuLstlMpnsFzKZrE0mk9XKZLK4j3uMEhISEhISEhISEhISnxaeWuMQ+A8g8x7LdwFBH/z3KvDrj2FMEhISEhISEhISEhISn0qeWuNQEITrwMQ9VskG/igscwuw/aD1hYSEhISEhISEhISEhMQD8tQah2vAA+i94+++Dz7TQyaTvSqTycplMln56OjoxzY4CQkJCQkJCQmJzxa//e1viY+PJz4+HmneKfFJ5JNsHK4JQRB+KwhCvCAI8U5OTk9kDK2trYyMjDyR35aQkJCQkJCQkPh4ePXVVykvL6e8vJwnNe+UkPgoPHWtLB6AfsDrjr89P/jsqeOHv3kfY0MZ//mzv3vSQ5GQkJCQkJCQkPgYuN0/zZHv5Tz097v+cfcjHI2ExNr4JEcOzwAvfaBaugGYFgRh8EkP6sMUto5y0yiaApUvl67fetLDkZCQkJCQkJCQkJCQWJWnNnIok8n+C0gDHGUyWR/wI8AIQBCE3wC5QBbQBiiBLz6Zkd6b5ABHvE2U9GDNV/9YQllUKPZ2tgBoNBqmp6eZmZlhdnYWCwsLfH19kclkT3bQEhISEhISEhISEhKfOZ5a41AQhKP3WS4Ar39Mw3loDOQy/teBCJ5/qx6NYyAHvv8b/u/L6QwNDTE9PY2trS1WVlZYWVnR1tZGRUUF8fHx+Pr6PumhS0hISEhISEhISEh8hnhqjcNPE4ZqJfucJzk5YUq3VQQni+rYtyEMV1dXfH19cXR0FNcdGxujoqKCyspK4uPj8fb2foIjl5CQkJCQkJCQkJD4rPDAxqFMJrNiuQF9FHAJuPFBFE/iLsTFxaFWq6l6p5gu8xD+3GuJj/cs671tuXHjBvv37xfXdXR0ZOfOnYyMjIhGYnBwMAYGBgAYGxvj6uqKmZnZE9obCQkJCQkJCQkJCYlPI2syDmUymTuwDzgARAN5wG3gvwOhMpnsInAKuCQIwvzjGeonF7lczoYNG/hncwue+5erzNsF8OatOT43PoeLsofOzk68vLzQarUYGxsD4OzszK5duxgaGqK39y/tHOfn5yktLUUul2Nvb8/c3BwKhQK5XM6WLVtwd3d/UrspISEhISEhISEhIfEJZq2Rwxssq4P+L+CaIAjqDz7/R5lMZgvsBp4H9vOUCsM8DUSvi+LfX57nq7+9zKRTDG+3QbSZPW2/+T0u1mZ4enry4osvIpf/RUTW1dUVV1fXFduam5tjenoaCwsLLC0tmZ6e5sqVKwQFBRETE/PQojaCIEiCOBISEhISEhISEhKfQdbUykIQBH9BEP5aEIS8OwxD3bIpQRDeFgThiCAIkmF4HzYkJfKDrFAcu66AoKVm3o6zJJIzasepqyXk5+evaTumpqYYGBhgYGCATCbD3t6ePXv20N3dzTvvvENjYyPT09MPNDa1Ws2xY8fo6+t7mF2T+BQjCAIKheJJD0NCQkJCQkJCQuIx8kA1hzKZLBXoEgSh5zGN5zNBVlYWNTU1XCj9I4uBW5my8GbA1IcBV2/+27FafrAkw93OgvHxcU6ePMnQ0BCHDx8mNDQUBwcHFhcXqampwdbWFpVKxdzcHIIgiMbirVu3aG9vx93dHRsbG/bu3Yupqel9x1VeXo6NjQ23bt3i4MGDehHMzzqNjY1MTEyQnJz8mYysdnR0UFBQwM6dO/H09LzrehqNRqyPXQtrWX9gYIDOzk4UCgWzs7OEhoYSGRm56roKhYLKykomJiZwc3PD3d0da2trZmdnUSgUWFhYPJDIk1arfaz3ga5c+7N4TT0MWq2W+vp6lpaWgOXjZmFhgbW1NdbW1pibmz/hEUpISEhISHyyeVBBmt+znDoqIpPJQgFTQRCqH9GYPvWYmZnxxS9+kba279NR/kfCvIKYdI5j2DKQCdsQvpOvIMq8l96q6xjNjWBjsMT777+Po6Mj5ubmREdH8/zzz2NpaSluUxAEBEHg+PHjREZGMjU1hYmJCWNjY1y9epVdu3bdc0wjIyP09vaSlpZGbW0tzc3NhIWFPe5D8YlgfHycmpoaHB0dKSwsZPPmzY99Mj82NqanYvukqampYevWrdy4cYPNmzfj4eGht3xqaory8nJ6enrYv38/9vb2993myMgIFy5cICIigvXr16+6Tk9PD8eOHSMhIYH169djamrKhQsXsLOz0xuDUqmkoqKC/v5+oqOjiYmJYXBwkLa2NmZnZ8V2MbW1tZiZmeHk5HTf8TU3N1NcXEx2dvY992dsbAx7e/sHNiI1Gg3nz5/Hzc3trvv/WWJ0dJSmpib8/f1xd3df9R6rrKxkcnJSPPdarZaJiQl6enqYmJjAxMSEkJAQ/P39mZ2dZWBggNHRUWJjY7G1tf2Y90hiNUZHR6mrq8PAwAArKytsbGzw8/OTHCQSEhISTwkPahy6C4JQ/6HP1MAfgXWPZkifDfz8/HjhhReorKykq6sLP6GVmZlemk1DGTXxoHbBCcKfAWBGrsV6soVgDwOWRjrw8PCgvLyc1NRU5HI5S0tLdHd3Mzk5yeDgIDExMXR0dFBfX4+vry9NTU3Y2dmxbt26VT3rGo2G69evs379ei5evIhGo6GxsZGAgABRIEetVosprI+LhYUFTExMHtv2Hwa1Ws3Vq1dJTU3F1dWV/Px8ioqKSElJQaFQ0N/fj1qtJiAg4JEoyGo0GoqKiujs7CQ8PJyEhIRHsBcfjf7+fkxNTfH398fe3p4LFy6QmJiIgYEBCoWC4eFhxsfHiYuLIzQ0lPz8fPbv34+h4d0fLz09PRQXF5ORkUFZWRlyuZzY2Fi9dXp7e8nNzcXe3p6BgQF8fHxwcnJix44dnD9/ntjYWBwcHFhaWuLatWtERUWRnJwsRiJtbGwIDQ3V26aXlxdXr17lwIEDGBkZAdDZ2UlFRQXh4eGEhoYil8uprKykp6eH1NTUu+5PX18f5eXlLC4uYmVlRXp6urjN+yEIAteuXcPa2prm5mZiYmIeKOL6aWNsbIwrV64QHR3N7du3KSwsJCwsjHXr1onPnKGhITo7Ozlw4MBdr62xsTGam5spLy/H2toad3d33NzcuHDhArt27cLGxuaRjLempoahoSG2bNmypqyMx4FWq+XChQtERkY+9pZHgiBQU1NDT08P6enpa4rQqlQqGhsbMTY2xsrKCkNDQ27fvs3c3BwxMTHI5XIUCgX19fWoVCrCw8Mf6z6slenpaQoLC8nKypKyZySeOL7fy3nSQ3hidP3j7ic9hM8ssgfpQiGTyeqA5wVBqPnQ5zOCIFg/6sE9akpLS4XExMQnPYwVXL9+ncuXL7NhwwZOnTrFhMwG08BEDOy9aB1VMjitEtd1Nlpgn9cSaeEeKJVKduzYwfXr16moqEAQBHx9fTlw4AByuZz6+nreeust6urqsLe3JzExkRdffBEbGxv6+voYGRlhenqaqqoq7O3tcXZ2xtfXFxcXF/7whz9gaWnJiy++SENDA01NTXh6erJ169bHYiB2dXWRl5eHm5sbISEh+Pr6PhWT5aKiIoyMjNBdN1qtlry8PIaGhrCwsMDd3R0DAwPa2tqwt7cnOjp6VQEhHUtLS4yOjq6qKjszM8OVK1fw9PQkNjaW3NxcQkJCVhg48/PzKBQKlEolnp6e9zTCHgW5ublER0eL0ZqpqSlKSkowMzPDysoKOzs7vL29xYnUrVu30Gq1JCcnr7q95uZmampqyMzMxNramqWlJc6fP4+Pjw8hISEoFAqx3+fS0hK7d+/GzMyMnJwcNm3ahIODA8ePH6eurg4nJyd8fHzYvn37mqKVABUVFczOzrJlyxbq6upoampi8+bNNDc3MzAwgL29PVqtlvT0dAwNDSkpKUGj0Yj7MzExwY0bNzAwMCA+Ph4XFxcqKyvp7u4mMzNzTU6CsrIypqamSE9Pp7CwEBcXF0JCQtY0/vsxNDREY2PjQ0fL+vv7EQQBKysrLC0tH/t9OD4+zqVLl9i+fTvOzs7AciS4tLSU2dlZtm/fjoGBASdOnCA9Pf2hIup9fX3cuHGDrKwsrK0/2quqt7eXkpISQkJCqK+vZ9u2beK4H5T+/n6am5uJjo7GwcHhgb5bWlrKzMwMo6Oj7N69+yPt1+zsLFNTU7i4uKxwcCwsLHD16lUMDQ3x9PSkpqaGnTt33vPaam1tpby8nODgYGQyGQqFgvn5eUJDQ/H19dVbV6lUcurUKQ4cOPBUtGjKz89neHiY2NjYFc9eCYkH5fcnL/PjksUnPYxPJJJx+HjJy8ur2L59e/xqyx7UODwK/D1wVBCEug8+WwecEwThqe/W/rQah1qtlnfeeYeamhqMjY2xtbUlNTWVjo4OkpKSUJk68n55L/91sx2VsDxR2xFkQ4bzHIvzs/QMjTE3v8hYfxc//dHfr5hk5OfnU1FRQV1dHZ6enkRGRtLU1ERcXBwDAwM4OTlhZmZGfn4+6enppKamYmhoyJtvvomRkRFZWVlERERQXFyMIAikpaU9EgNRq9UyNzeHpaUlx48fJy0tDbVaTVNTE0NDQ+JETqlUYm5uzvT0NOfPnyc1NXWFcaVb505mZma4dOkS8fHxKyYkdzI+Ps709DQqlYqZmRmxnkmtVjM1NUV2draeB1kQBJaWlsSoqu6zvr4+CgsLOXLkyAqDTa1W09DQQF1dnWhUpaamitvo6uri5s2bJCcn4+3tTU1NDXK5nKqqKrZt24aFhQXNzc10dnaKnni1Wo2TkxOP85oeGxvj+vXrHDx4cM3f0Wq1nDp1ioSEBLy8vFhYWGBhYQFra2v6+/spLi5eUQe7tLTE5cuXmZubE1NAJyYmREMZls9nbm4uWq2W2NhYZmdnuXLlCkeOHCEgIOCBxnfu3DmMjY1ZWloiIyNDjFjPzMzQ399PSEiIeM51+xMbG8v4+DhtbW3ieboTndG7b9++e0aT6uvraWtrY/fu3RgaGjI5OUl+fj7PPPPMmvfhbtTW1tLU1ERERAS3b98mODhYjNLcD7VaTXFxMZOTk1hbW6NQKJieniYhIeGxTZKnp6fJzc1l27ZtuLi4rFje1NREdXU1VlZWeHl5sW7dwyeo9PT0cPPmTRISEvDx8Xkoo1ehUHDu3Dl27dqFra0to6Oj5OfnExERsaIOVqvVMjIywszMDAqFArVajYuLC+7u7mi1Wm7dusXExATh4eHU1NTg5+dHXFzcmpw9AwMDFBcXs3//fvr7+ykvLyc7O/uhHEU9PT0UFRXh5OTEyMgIFhYW2NnZic/4gYEBvf0bGBjg2rVrpKSk4OLiovccVCgUFBYWIpfLSUlJ0St9uBd1dXWMjY2Rlpa25nFrtVquXr3K1NQUISEhBAYGfuQo7vj4OPn5+ezcuZPc3FwOHz78VDgpJT65SMbhwyMZh4+XR2YcAshksu8APwRqgSkgBfiJIAj/9yOO87HztBqHsJyCs7S0hEwm4w9/+ANGRkY8//zzXL9+HYCwsDAcnF347u8vkjdohCBb/YVlIJfhbW/Of98XQWrwcl2VToXU3t6e4uJiLCwsmJmZQaPR8LnPfY7w8HCOHz9OamoqU1NT1NXVsXfvXqamprhw4QJHjhzB1NQUQRAoKChALpeTmpr6kQxEndGh1Wrp6elBq9Vy5MgRccKtm8jFx8dz9epV3N3dGRkZYf369TQ0NBAfH4+/vz9LS0uUlJTQ2dmJk5MTmzdvxtLSkpGREfLy8oiNjaWqqkqczOkYHh6mqamJwcFBqqqqMDIyIioqiqioKMzMzBgaGqKjo4OoqKgHmpAWFxdjZWVFVFSU+Nno6ChXrlzB19eX6OhozMzMqKmpoaWlhW3bttHW1sbAwAA7duzAysqK4uJi0WhubW3l5s2bbNmyhXXr1hEQECAaMv39/eTl5XHw4ME1TcIUCgVarfaBUuvy8/Px8fG5q/Gl1Wrp7+/Hy8tL7/OpqSnOnj0LgImJCRqNhtDQUJqamsjMzMTOzu6ev9vW1kZjYyN79uzRu87m5uaQyWSiI2B4eJibN2+yf//+Ne8TIKazJSQkrGnyNzU1xalTpwgJCSE+Pv6u6aNlZWWYmJjc9ZopLy+nv7+fnTt36k1kc3NziYmJeeg+pXNzcxQVFQGQlpaGsbExi4uLlJaWMjg4KDpI7nbP3hm1jo+PF41JlUrFuXPnWLduHcHBwQ81trshCAJnz55l3bp193XetLW1kZiY+JGdUiMjI9TX1zM4OCjejxYWFmv6rlqt5syZM8TFxemN987Ims7ho3u+GRsbY2dnJ6ZVjoyMMDg4iFqtJjo6msjISORyOWq1WqzZTUlJued1oFKpOHXqFBkZGWK0vLy8HIVCwdatW++5D6OjoyiVStzc3DA0NKS8vJze3l7S09PF58LU1BRTU1Pid2xsbFbcr+Pj42LkcmlpCQcHB9zc3GhsbCQxMfGBnDWw/Bw5efIkmzZtumfmxZ3r5+XlYW5uTkREBM3NzbS3t2NpaSk6l9zd3R/4frp48SLBwcH4+flRVFSEtbW13rNcQuJBkYzDh0cyDh8vj9Q4BJDJZI5AOmAPVAmCcPOjDfHj4Wk2Du9kZmaG//k//ycvvPACkZGRDA4O0tzcTH9/Py4uLrQNTfPPhf3M2/pjJNMiU6swMpAhGFugXFo+n8YGcn75uVh2Riy/aFtaWmhoaOCdd94B4P/7//4/DAwMyMvLY2lpCRsbG3bu3IlCoaClpYWxsTF8fX2pra3F2tqazMxM5HI5giBw+fJlPD0911Qjsri4yNTUlF57jKmpKcbGxggNDWVxcZH6+nri4+Opr68nLS1NTNHq7u7mX/7lX3jllVdoamqirq6OdevWMTc3x82bN7GyssLf35/Y2Fiio6Npb2+nvLwcX19furq62LFjB46OjvT19XHr1i2ys7MxMjJCrVbz/vvvk5SUxMLCAt3d3aSmplJVVUVPTw8ymQw7Ozv8/PyorKzkyJEja649USqVnD59msOHD2NoaMjY2BiXL18mPT19hQhKT08Pv/zlLwkPD+eFF17AyMiI27dvixFjrVYLLEeDXFxc9GrytFot//Vf/8X09DRBQUHs2LHjvmM7f/48PT09PPfcc2syECcmJrh8+TKHDx/W23+NRsPs7CxmZmZcvnyZ8fFxUlNTV0zw71QiVSgUvPHGGxw9epT4+FWfRSKTk5NcuHCBvXv3rsnozcnJITo6+p4qqo+CtSiXKhQKzp8/z5EjR1Z898aNG8zPz7N9+/YVEZ6enh4aGxvZuXPnXbctCALt7e2Mj48TFBSEvb09SqWS6upquru7iY6OXvWeHB8fF1NpddFcWDase3p6GBgYQKlUkpycjI+Pz4rvz8/Pi8c4KCjonvv/INTX1zM0NMT27dsf2TbXyuLiIq2trdTU1IjH7W6G5+zsLC0tLbS0tBAcHExcXNyKdXQ1eS0tLXh6etLX1yfWe+scCVqtlrCwMCIjI8X67e7ubsbGxli/fj1yuVw0Kh0cHNiwYQNGRkYolUpmZmaYnZ1lZmaGvr4+AgMD9SKVgiCQn5/PwMCAmJng4eEhRtN0joKhoSEcHR0ZHByko6MDOzs7du3ahaen56oOj7KyMkZHR8nKyrrrsRwdHeVf//VfcXV15cUXX3zouvHh4WFu3LghlkXcDV3E0NjYmM2bN+t9rlAoUCgUzMzM0NHRgVarJSEhATc3N5aWllAoFBgbG6/6XBkeHqa4uJgDBw4Af0l3PXz48JpriSUkPoxkHD48knH4eHnkxuEnlU+KcQjLL+Vjx47x05/+VJxI6urVANrb2/n1b35DYEAAVlZWODs7U1tby5RijnHPFKqVdhjIZfz8SDTZMR4IgkBpaSm3bt2irq6ON998E3Nzc27fvs3/+3//j4SEBEZHR5mfn8fFxQWVSkVPTw9f+cpXOHXqFEFBQaSkpBASEsL09DQXL17k8OHD1NTUMDIyQnBwsBj109Xk6Dy5w8PDmJqaivUkCwsLJCcnMzw8jEajobm5mVdeeQVTU1MKCgpEsZC+vj4uXrzI0tISVlZWHDlyhOnpaUxMTDAyMiI3NxeNRsPhw4fF46ZSqairqyM4OFivBqeqqorx8XHS09Opra1ldnaWpKQkjh07plc/o1QqAcTIVEFBAR4eHg80Kb5x4wZ2dna4ublx8eJFvVqqO8nPz8fMzAy1Ws3w8DCCIFBZWUlISAiurq5iutbg4CADAwN897vfFSewra2t9Pf3Y2JiwoULF/ja1762alqejrm5OX7605/i5uZGf38/4eHh2NjYiN51FxcXPYNlamqK8+fPs3XrVlxdXWlpaaGqqgoXFxf6+/vRaDR0dXWRlZVFcHAwOTk57Nu3Ty8Ks7CwwPT0NAqFgvb2dtRqNQqFguzs7Lumfy0uLnL69GmSk5NXKKLejaGhIUpKSsjOzl6xrL+/n76+PpKSkta0rUdBTk4O69ev14uAXLt2DZlMRkpKyqoTX0EQeP/998U6zA8v04nm2NnZ4erqSmtrKz09PQiCwLZt2wgPD79vSuHo6Ch5eXlkZmbS2dlJR0cHoaGheHh43Lc2UalUkpubi6GhoRiZcXJyws3N7aFS+XTpmQcOHHhigi6wbPgWFxczOzurlyasUqlQKBRMTU0hCAIhISEEBQWtiDIKgkB/fz/GxsY4OzszODjI8PAwERERnD59mrS0NLFGUqVSUVtbS1tbG25ubgwODuLq6io63XRRP61WS11dHdXV1cjlciwsLLCyssLa2hpLS0tsbGzueW/Mz88zMzNDV1cX7e3tODk5MT4+rpdi3NXVRXFxMTExMQwNDTE0NISTkxPJycniPlZUVDA0NIRGoyEuLm6F8+XOaGdCQgIlJSVkZmZ+JFXYGzduYGRkdNf7VRAEMUq7FtXogYEBysvLmZ6exsjICCsrK2ZmZoiLi1tR43vu3DliYmL09vPmzZt0d3eLThMzMzOioqIeONV0cXGRrq4uHB0d11wbLbF8jT3umvrHjWQcPjyScfh4+cjGoUwm+zlwCigUVvmCTCazArIAe0EQfv3Rhvv4+CQZhwD/9E//hKenJ4cOHQIQX/a6vl6NjY3k5ubi7e3N9u3b8fHx4fz589Tevo150rO8VzeNTAYpgY5sC3XG23AGg/lJpqamyM3NxcHBkZYxFd1aOywNtDybsZGjmZvpaGnk6tWrFBYWcujQIWJiYhgeHmZyclJML7t48SLu7u7U19ezceNGWlpa6OjowMDAgLm5OYyNjYmPj6e1tZWmpibWrVvHnj17MDAw4NSpU1RUVPC1r31NVP6srKzEysoKCwsL5ufnSUtL4+TJkwQFBXHp0iWcnJw4evSo+KJQqVS8//77mJiYkJCQgJ+f3z2PpSAIXLp0CRcXFxoaGjhw4ACtra0oFAo2bdq06nfm5+cZHR2ltLRUPAf3YnR0lKqqKpRKJSUlJURGRrJ9+/ZV06Tq6uro7e0lMzMTgFOnTtHU1MTRo0fx8fHRm/SoVCreeOMNMZIMcOLECbZs2YK9vT3vvvsuvb29/M3f/M1dx3bx4kUaGhr467/+a65du4a5uTnBwcEMDAwwMDDAyMgIkZGRhIeHMzs7y4ULF0hNTcXZ2Zn8/HxRgMbU1JTnn3+eCxcuYGVlhUKhICkpCbVaTWtrK1lZWchkMhoaGqiursbBwQErKytsbW0JDQ2lsbGR7u5udu3aterE7tKlSzg7OxMTE3Pf430n586dIzY2Vm/SrFarOX78OGq1mn379mFlZfVA23xYOjo66O7uFif7AwMD3Lp1iwMHDtxzMtvW1kZpaSn+/v4EBwdjbGxMVVUVN27cwMzMTDTEl5aWuH79OuPj4ywuLrJt27Y1p881NTVx+fJlAgMDH0hdFf5SI6xQKBgcHGR6epqRkREMDQ2JjIwkJCRkzWmfOTk5hIaGPnD64YMyMTFBXV2dKB7l7Oy86sS+v79fL5VSqVQyPDzM8PAwjo6OpKen6xmGc3NzNDY20tbWhq2tLZOTk+zZs0e8xtra2ujq6iI9PX3Fb83PzzMwMICXlxfGxsZiNoa9vb0YVR8eHqalpYV169Z9JIVVXdq37h7Ujf3MmTMrRGyampqorKwkJiYGlUrFwMAAmZmZjI+P60XUANFB6OvrK9ZJ9vT0UFVVxb59+x46/Vej0XDmzBmio6Px9/fXW6ZT+AXYsmXLA/2GIAji+kqlkvz8fKysrIiPj6ezs5Pm5mZsbGz0zpdWqyUnJ4fbt2+LzsLx8XEiIyPJysq67/NErVYzODhIa2srQ0NDeHt7Mzg4iJ2dHfHx8VJrlQ+Ym5tDo9GscIr19PSQn5+PoaEhZmZm2NnZERQUhKen5yeq7YlkHD48knH4eHkUxuE3gGwgDLgInAZuAxks9z1cB+QBfxAEIf/RDPvR80kzDqenp/nBD37AN77xDbq6ulCpVMTExIhqlUZGRkRERHD8+HHa29uJjo5mw4YN/O53v6OkpISAvV/lWPMC2jtOsau1Cf7WMNxay4y1H6NLxnq/KQNSAu1xn21htq2MxoYGXn/9debn51m/fj23b98mLi4OU1NTfvnLX7Jt2zZkMhkjIyPMzs7S29vLgQMHiI2NZW5uTowo9fT0iJ7w4OBgzM3N+fWvf83OnTtxdXWlv7+fhoYGNBqNqJpaU1ODl5cXmzdvpq+vj4mJCXbs2IFMJhNrqTQaDYuLixw6dAhDQ0MxXSw0NFRvEqhWq7l9+zZvvfUW27ZtIz09nRMnTnDw4MFVIxdqtZrTp0+L0a9du3bdsy5Klz6anJyMubk5t27dwt3dfUX/Oq1Wy7Vr1+js7OT555/HxMSEGzdusLCwQEpKyqopWToP/fnz5/mHf/gHxsbGKCsrY+/evcDyhOrHP/4xUVFRq4qaaDQavvvd7/KNb3wDPz8/sXYqOjpanJzfmZ4IsHnzZgRB4OTJk0xPT3PgwAFR5OTGjRtERESwZcsWZmZmuHDhAlu3bqW2thYbGxtmZmZQqVRs27Zt1WN7/fp1NBrNCmGj8vJyJicn15Qi+2FGRkbIz89n37594kSuoqKCxcVFrK2tmZ6evqt66qNGo9Hw7rvvitfkiRMnREP7fiwsLNDe3k5ZWRlNTU2iOJW9vT0tLS0sLCyg1WoJCgoiJiaGyclJLl68uCJquxqCIHDx4kWKi4v59re/fdfJ6eLiop7IyIdRqVScOHECCwsLsrKymJ+fp6SkhPn5eZKTk1ft+TgxMYFKpUKlUomplg9zntfK5OQklZWVTExMEB0dzeLiougEMTU1xdLSEmtrazEKamlpiUKhYGBgQIwEhoSEEBAQQE9PD2VlZWzevBl7e3vxPgkLCxOfZR0dHdTV1bFnzx4Ajh07RkZGxpoNALVazblz5/Dy8mJkZASVSkVgYCB1dXVs2LBBz/l1v/MDq9c+w/I1kJubS1BQ0Ko1pEqlkuLiYlQqFZmZmaIz7sKFC6LSqEql4syZM2zcuHFFrXF+fj42NjY4OzujUChYXFxcNeJ6L2ZnZzl79qxenbggCBQWFqJWqx+JYrZWq6W8vJy2tjYCAgIICQnRO1darZYrV65gaWmp99woLy9neHiYmZkZkpKSxKiwVqsV039nZmYYGhoS6zETExPF95EuNbyyslJ0xn0W0Wq1dHV10dzczMzMDIIgEBMToyd8debMGRITE3FxcWF+fp6RkRFaWloYHx/Hx8dHvDYtLS2f6uMoGYcPj2QcPl4epVqpLcsRwmwgErgEnAWuCYKg+ehDfbx80oxDgLy8PN577z22b9/O3r17V5X61mq1VFZWcvXqVebn50lJSaGwsBAbGxusHN2pGJine8mSnkULFAv6p8nCUOBwoh+qJQ1l7cN0jKsQZMsTO29bY1yGS/AxmMLJyQlHR0dkMhmDg4MYGhpSUVHBV7/6VUJDQ3FwcODYsWNMTU3xla98BVh+uMfExODr68vU1BS/+93vMDMzY8eOHVRUVBAUFMTk5KSo4GdqakpxcTEnT56kra2Nb3zjG2RlZYlG3tWrVzExMWH9+vUcP36cQ4cOkZubi5GREXZ2dpiamtLU1MTs7CyRkZFERkZiZmZGc3Mzt2/fxsXFhXPnzqHRaIiJiSEuLo7o6OhVj/vVq1extLQkKiqKnJwcKioq+G//7b9ha2vL4uIiSqVSnEysJsWvS5v7sDhDcXExx44dIzIyEjs7O5RKJVZWVmzdupX333+fgIAANmzYgImJCQqFgqqqKtrb2wkNDeXSpUukpqaiVqsJCgrSM1YVCgVvvvkm69ev5+DBg3qTp7y8PHH8OmZnZzl//jwRERGYm5vT1NSEpaUlhoaGzM7OMjo6yuTkJJaWljzzzDN6k7tf/OIXWFtbc+DAAWxsbBgaGuLGjRskJibyz//8z0RERIiG72p8WNhI16dQq9Wybdu2h67vaWtro7a2lr1794p1cs888wxyuZz33nvvro6Ax8GtW7ewsrJCo9EwNTVFamrqmr+7tLTEyZMnSUpKWlEDOD09zdLSkl47h/b2dm7fvs3evXvvme5WV1fH8PAwHh4ejIyMrBjT7OwslZWVtLa2smXLFgIDA1fdzqVLl/Dw8ECtVotRYCMjI27cuMG7775LcHAwX/3qV8XJm0Kh4I9//CNNTU2iwJCZmRkxMTGPLJqra3g/MDDA0NAQJiYmREZGEhgYuMKQ0KkS62r4dHVqlpaWYpr1h5WPp6amuHLlCouLi+Kk/sPpbgUFBVhbW2NmZsbw8PADKW/CckTx1q1bBAQEiCmus7OzXL58WVSgHhwcFA2upKSkVY2k2dlZzp07h6mpqV5tolqt5tatWywsLDxwnef4+DhXr14lOztbjPqupmCrUqlEIR4rKytkMhnNzc34+PgQExOzan/EwcFBXFxc9BwKOlXj4OBgFAoF4+PjWFpasnXr1sfee1AQBPLy8jAzM1uRVaKrKd+1axclJSUsLCwAiCJZuvRfa2trampqUKvVqFQq9uzZo/fuXlhYEI2f1ep8P61otVpaWlqorq7G2dmZ0NBQ3NzcUKlU5OXlYWlpSUpKCuPj46JOwIeZn5+nv79frMmvq6tj06ZN9yyreJJIxuHDIxmHjxep5vADPonGoSAIzM3N0dLSIqZnflgyHZZf/NXV1Zw5c0YUZfH29sbCwgJbW1sMDQ2xtbOjaWAKc58oBufAXDnI7hgvIkL/UnvRPzrFD/7jPBXTFsyolyeacSbD7PGVMzoyzOjoKLOzswwPD/Od73wHQRDYvHkzFRUVtLS0IJPJSE5OZmxsjImJCdLT02ltbeXkyZMcOXKE2dlZurq6SEtLu6vYiFKppKCgAI1Go6dWqWv6PDY2RkREBOvXr2d4eJjr169jaGiIh4cHWq2W2tpaJiYmCA0NZW5uTlTbrK+vx9HREZVKxcLCAlu2bBHFVUZGRujv72doaIjh4WFMTEz4whe+IBoTv/71r7G3t+fZZ5/l5s2btLS0kJ2djUaj4dKlS2Jt3p3Mzs6Sl5eHo6MjsbGxlJWVkZOTw5e+9CXs7e05d+4cSqUSR0dHGhoaxF6BXV1d+Pv7Y2hoSGxsLIGBgVy7dk00fBcXF/ne9763InowNTXF//7f/5vg4GCys7OxsbFBo9Hw93//93z5y18Wow+6Se3CwgJ//OMfGRkZ4XOf+xyCIDA7O4tMJsPU1JSamhpRxEfH3NycaPTeunWL0NBQwsLC+Pd//3dmZmZ44YUXGBoaorW1lY0bN9514qMT0IDliWdISMhdDfUHoaqqiqGhIQCCgoJEA6eiogKZTLaqmMjjYGpqiosXL6LRaB7YKL1+/ToWFhYros734ubNm2g0GlJSUlZdPjMzQ05ODgcOHMDY2Jj33nuPPXv2YGlpydzcHFVVVfT19Yn9LHNycvTSJHXo0oJ16dC675mZmaFUKtmwYQPvvfceU1NTfOc730Eul3PmzBkmJiaYm5tDrVaTlpaGlZUVNTU1eHh4EBcX90CRJV3rGV1NoM5ZpTPs3NzcHloU5V5otVoEQbirAa4z6hcXF8nOzn5khq9Go6GhoQFLS0vc3NwwMjKioKAAWFam/fB4iouLsba2Jjg4mHPnzhEaGoq1tTVFRUUP1C7jw+Tl5TE2NkZAQMB9RaXu5M42Pv7+/sTExGBqasrs7Cw3btxgYmICd3f3FcZ0Z2cnCoVCjO46ODh8LOmEjY2N9PX1kZ6evurvXb16FS8vr7s6T3TtTSIjI4mIiKClpYXa2lr27Nmj9xwYHh7mD3/4A05OTqSmpq5ZDbipqYnGxkZSUlJWiJw9bZSXl4uORysrK8bGxnBxcSEuLm7V2uqKigoGBgYwNjYmLCxsTYZzT08P9fX17Nq163HtxkdCMg4fHsk4fLxIxuEHfBKNwztZWFjgwoULKxqjDw0NcfXqVdE7297ezttvv8309LTo+dQZIObm5rz22mssLi5y/Phxnn322RWTi/z8fCqra5CFbOVfbvSjFWCjlxn/sCuI6ZF+/vM//oPBwUE2b96Mo6MjkZGR/Nvv/4DGJYzO/hF8HMwwmBtj9/YtbNqUzI9//GPS0rYyOruAvVcggf7+xHjb3fVFr1arGRgYoLW1FXt7ez2VTqVSyQ9/+EMOHTrEhg0bAEQJ/tHRUebm5ti+fTvvv/8+Bw8eZHBwkPr6eubn5wkJCSEiIgKA06dPMz8/j0wmw9LSEkdHR7H/2NWrVwkMDKS/v5+4uDhCQ0Pp6+vjZz/7GX/1V39FRUUFycnJnD9/HnNzczIzM+/qtdRqtZSUlNDU1ISHhwdzc3O4ubnpSdbPzMxw6tQpUXlPoVBQV1eHWq3G0dERT09PIiIiyM/PF1MU5XI5GzduxMTERIyYTE9PMz09zbVr14iMjMTX15fZ2VkmJyf5u7/7Oy5evMj8/Dx79uzB0NCQ7u5ubty4QVtbG0qlktdeew1/f/8VvdzupLa2lsXFReLj41lcXKSkpIS2tjbCw8Pp6Ohg586d2NvbMzU1xfXr1zE3NxdTbVc7NqWlpfj4+ODm5navS/+BKCwsZHp6Wkzxg7+kQq7Wg/JxcfbsWYKCgh6oR2BnZ6cY/XyQCImuPiokJGTVSea5c+cIDw8X67gaGhoYGhrC1NSU7u5u1q1bp5eKfWeapG4cOpGi/fv360VBbt++jaGhIaGhoeI9/fbbb1NXV4e9vT1qtZqRkRExvfz555/H0NAQjUYjqhDrjNZ7oevnJ5PJxFpWa2trXF1dn6iozZ2MjY2JgjSPE0EQKCkpYWxsjIyMDPHYffg6X1hYICcnB5lMRmpq6ooeuA/CzMwMLS0tD2QY3snS0hL19fU0NDTg7u4utlgJCAjg8uXLODo6ig4RXd/YD/dRfNzojt/+/ftXfWbB8jkuLCzUq8HUMTg4SEFBwQoRsubmZurq6vDx8RHVVOfn53F0dKSpqQkrKys+//nP33d8upTbDRs2UFZWhpeXFwkJCU+laIturM888wwLCwtidP7DRuGHuXjxIqWlpfzgBz9YszPgxIkTbN68+ak0liXj8OGRjMPHi2QcfsAn3TgExHqP5ORkPD096erq4tatW+zYsUN88Wu1Wt59912amprw9/cXU1waGxvFZsYBAQEsLCysaKAuCAJ//vOfSUtLo6CgAPOAeL53uoX5D7JRZQhYGBvgZAaMtmEy08fYkjGzrrGoZPreejkCMkGDqZEhauQsqLXisiBnS17a6MOBOE8sTf7yYlOpVFy8eBEDAwNR8OLo0aNiVK6yspKFhQXGxsZwc3PD0dGR8vJyTp48yb59+8S2C0VFRbS3t2NnZ0dSUtKKeq8PRwEWFxcpKytjYGCA7du3Y29vL04UsrOzsbCw4Pz581y6dIn169cTExPDlStXcHJy4tlnn73vy3lhYYHf/OY3GBgYsHHjRqKjo8Xv5Ofn4+npuWJSr9VqGR8fp6qqCnd3dyIjI/nDH/7A5s2bcXBw4ObNmxgYGIgREzs7OwwMDGhpaeGXv/wlL7/8MgMDAwQEBGBkZERTUxMuLi5MTEwQERFBYWEhjo6OyOVyzM3N+a//+i+Sk5MxMjJa0ctNx/Hjx/V6ounGKZfL6evro7i4GH9/f6ysrLCxsWFiYoLq6mrWr1+/Qh3wcbJa24mioiJsbW0f+8T9XmO4FzqhkNUidmtBqVRy5swZ0tPT9dJOGxsb6e3tJSMjQ/xMo9Fw/vx5fHx8CAsLW/X6vXbtGlZWVvj4+NDc3ExnZydbtmxZc8uQixcvolAosLW1xcPDg7CwMIqLi7G0tNTrA1lVVcX09PRd0zB1ipNyuZz4+Pg19cH7rFBdXU1PT4+Y2ltZWYlWq9Uz4LRaLTKZ7KkR8VhcXKSzsxMfHx/RqNfVXIaHh2NsbExFRQVyuRxTU1MyMzM/trFfv34dOzu7+/Y2PHPmDElJSXpOQZ2T9m59XHt6epibmxMjodbW1shkMvr6+vjVr35FdnY2GzduvOfv5ubmEhwcTGBgIBqNhsrKStra2lY4d54knZ2dYnaRu7v7A9cDXr16laamJtLT09esEq6rX7xXK6AnhWQcPjyScfh4eZQ1h3JBELT3X/Pp5NNgHMJy3VFubq4olpCZmbkiRbOhoYHS0lLc3d0RBIH5+Xm8vb1pbm6mo6MDtVrN1772NbEuRJeGNTw8TEVFBVlZWWJ6jNzWnf9bOMSExoRF4e4vH1dz2BDszsXiKpbM7FHL9GvH7MyNsJQtMDq7JBqS5sYGbAt1Zs86N+I9zLl65RIRERGEh4czMzPD5cuXuXLliljLY2hoyI4dO5DL5VRWVtLd3Y23tzcGBgZ0d3fz+c9/HhcXF06cOMHY2Bjf/va3xQn6nYp1OtRqtdgmQCfycecLtrGxUTQYh4aG+MlPfoK1tTWLi4v86Ec/EntCZmRkrDqBmZiYoLm5mdraWqanp/nmN7+pl/I2MTFBXl6eWBu3Grp+W8888wzz8/NcuHCBgwcP3tOjnpubS319PTMzM3z1q1+loKCAvXv3YmVlxcWLFykpKWH79u1MTk6SlZWFXC5nYmKC//zP/xS90boJjM5wmJycFFuN3I3h4WEmJiZQKBQMDw9jaGhIXFwchYWFerL+TwJdLVZ0dDRhYWF6y1a7Nj5urly5gpeX10cyooeHhykoKCA7OxuVSiU2B79XJORuLC0tcfr0aTEq6O/v/8BRnKWlJd5//32xV9z8/DwnT57k0KFD4rYEQRANgzvrc4eGhigvLxeNnQdtaP5Zobq6mt7eXnbs2MGJEyfIysqisrISe3t7oqOjn/h1vVbm5+c5e/Ys1tbWxMfH4+joSH5+vvj34+BOB87w8DCFhYUcPHjwvk6dzs5O2tvbRXXT4eFh8vPzxcyJB6WpqYm3336b3bt3k5iYuOrv6xTBdSndOmZnZ6mqqqK/v5+EhITHqgA8MDCAvb39XSP1Q0NDXLt2DScnJ06dOiXuz2rG8mrU19fz5z//me9+97ucP39ez+l9P44fP86WLVue6DtmNSTj8O5Ixt+T5ZEYhzKZzACYBWwFQVh4hOP72Pi0GIew/DKqra0lNTV11foajUbDH//4R7HxdWJiIjKZjBMnTuDl5cV7773HwsKCWE8WHR2Nj48PKpVKjCbAcsTr6tWrFBUVsbi4SMrmVNy8/anoGKa4bZSuWTkWRvCltBDsFkcZGRlhfn6eEydP4ujkTGraNpI3b8HG0pyBnk6uX7+OgZExhZ0KVF6J1AzMiWM2kQscjXPmu3vj9KKJOhU4hUKBUqkUX5yGhob4+/tjYmKCIAgUFxfz/vvv4+7uzrPPPktpaSmZmZliFObUqVMEBAQQFRXF6Ogozc3NdHd34+npSXR0tF4K5fT0NM3NzQiCQGtrK1u3bqWvr4+f//znfO9730OpVGJiYkJ8fDwFBQUYGxvrqdqNjIxQVFSETCYjODiYnp4egoKC8PDwYHR0FN19V1dXJ06870VVVRULCwts2LCB6upqZmZm7ilyUlFRwbFjx3j11Vf53e9+R1ZWlphifOHCBdrb23F2dmbfvn16149SqaS5uVkU6ZieniYhIYHAwECuXLmCm5ubXs2rVqtlZmbmrqqMbW1tlJWViTVGQUFBKJVK3NzcCAgI+FhTxmA5Mq3rL5mUlER3dzfNzc3Mzs6yd+/ej9Q24KMwNDQktgv4qJP5+vp6KioqsLCwICQkRGyE/iRobGxkYmJCT9ijrKwMQRD0shZ0KWgZGRkMDQ3R3NyMgYEB69evX3Ok8pPC/Pw8t2/fJiEh4ZEZbpWVlTQ0NGBra8vc3BxhYWGMjIyI6p6Powbz40CnGp2QkKDXh/JRUFtbK/YO9fDwoKenh02bNq0pMq3Vajl16hRubm5ERESQk5NDRkbGR0rbfffdd7G2tmZpaYnt27fr1eEqFArOnj1Ldna2mDnz4UwThULB5cuXCQsLW+H8WiuTk5MMDAwwNjYmZpHcyTvvvCM6/HTiVroMkzszF2pra3F3d8fY2JjS0lKxvvlu6EoM3n77bTZs2ICPjw+BgYEUFBSs2UDs6Oigra1NL0PiaUAyDu+OZBw+WR5l5LAG2CUIwsCjGtzHyafJOFwLdXV1DA0N6fVuKiws5MyZM/zgBz/AxsaGyspKTpw4gb+/P9u2bWNkZITo6Gi9yYQgCJSWllJfX4+lpSUVFRUsLS2xc+dOQkNDMTIywt3dndHRUb75zW+KTdPd3d155plnqKysxNbWlpaWFvbu3YuJiYmo7Je2+xlOlHVyuXmcPuVyxM7BwpivpgWQ4GuPv5MFliaG9E3OUz8wQ//UPDFeNsR42WEgXzmxKi4u5s033+THP/6xaIDFxsbS29tLaWkpnZ2d2NjY4OLiQkhICP7+/novwP7+frEFgi6Co2sroFKpSE1NJTAwkIiICE6cOEF6ejp2dnacP38eb29voqKiqKur4+LFi5iZmWFtbY1Wq6Wvr4/AwEAEQdDrtWZmZkZ8fPx9J4lqtZpjx46RlZWFpaUlp06dIjExEU9PT1QqFR0dHWg0GqysrDA2NubatWuoVCpiY2Oprq7G2NiYrKwsBgcH6e7uJj09Ha1We1/jTCca0d/fT1lZGTt27GDTpk04OzvT1tZGVVUVS0tLJCcn39XAValUVFZWkp+fz8GDB7GysqK3t5fOzk48PDzYtGnTQyuUPgyCIFBZWUljYyP+/v6EhISIzdDvpgj8uMdz6tQpNmzY8MhqL+fm5h5I5OVxcfz4cbZt26YXOdAJt2zZskUvLa+jo4Nbt26J52St0YYnwdTUFFNTUytSrycmJhgaGsLf3/+uBvmFCxeYnZ3Fx8eHhIQEve/euHGDrKysh6ohO3/+PCMjI+zatUtMo6+rq6O+vl5UxXzcSp+PA52Y0of7Mn4UOjo6qKqqYu/evSiVSgYGBpDJZA9kVOnSOk+fPs3WrVsfWAH2wzQ2NjI+Po6rqytlZWViC5uamho6OjpITk7G19eX69ev097ezpEjR1bc4yqVipycHLHv6N1YWloSxdd04k6zs7NYW1uLdfCOjo566d/j4+McO3YMjUZDZ2cnBw8eZGxsDBMTE5KTk8nPzyc0NBRHR0fy8vI4dOgQMplMzMzZt2/fqu+b6elprly5Qnt7O5mZmURGRnLhwgU8PDxwcXHh6tWrbNmy5b6ZA4IgcPr0aeLi4h65I+GjIBmHd0cyDp8sj9I4/G/Ac8A/A32A+OWnub+hjs+acahWqzl//jyzs7Oiyt3IyAhyuZzIyEjGxsYYGRkhJSWFN954g69//et3VWCDZc/gn/70Jzo6OnjllVdob2+nt7eX+Ph4LC0tOXv2LAsLC/T19ZGRkUF3dze1tbVMTU1hbW2NiYkJhw8fxsLCgvr6erFPYWJiIlu3bqW6f5afXWiismdK73dNjeSolvSzme3MjUgNdiLO244Id2vC3KyxMDHkxo0bzM/Pc+bMGV577TUaGxs5fPgwf/zjH1EqlWIq7o4dO1hcXH5gy2QyvLy86OjooLa2lrS0NJydnVEuqllUa7E1NxZbYGzdupWLFy9y+PBh+vv7KSkpYf/+/WLvQAMDA5qbmwkPDycjIwNTU1OxyfLmzZs/0oS9tbWVrq4uduzYwfj4uCjiMDIygoODA9bW1qjVahQKBREREdTU1FBbW8s3v/lNFAqF2ED6w4Iia+E3v/kNPj4+REVFUV5ejkKhwNPTk7i4OAwMDDh37hxbt269p5x4YWEhLi4uosdb1/A6LCzsgURbHhfNzc00NjaKgj0fF21tbXR0dDx1Hu+PyvDwMGVlZXrCQDp0KetrEaJ52tBqtZw8eRIDAwOx3YGpqSmVlZV0dnbi5eVFV1cXzs7OhIeH601q6+vr6e/vZ9u2bZw5c0as7Z2cnOTChQtYWVkREBDwwJEfXer5asq4Y2Nj1NbWMjQ0hJ+fH+vWrXsqHAcPgq7XZHZ29pruzampKcbGxsS/zczMcHFxwdDQkKGhITHN/qMeh87OTm7evCmqa36Uema1Ws17773HM888g1KpJC8vj8XFRSIiIoiIiBBFnP785z8TFRXFxMTEqnW6KpVKTJ//cM3e9PQ0169fR6FQ4OrqiqurK7a2tlhaWmJpaSk6D+bm5jh79ixHjhwRP7t+/TrFxcVi3+O8vDzi4uJE57G3tze2trY0NDSwefNmvR6YtbW19Pb2smvXLj0HhS6V2M7ODkEQxGfg4uIiZ8+eJSYmBgcHBy5evEhCQsJ9M2x0JTfZ2dkPnEb/uJCMw7sjGYdPlkdpHHbeZZEgCMK979qngM+acahjcXGRwcFBJicniYiIYG5ujhMnTuDt7c3WrVsxMDCgoKCA4uJi/uqv/uqe3tnc3FzGxsYwMjLCysqK2dlZ2traxGbjHh4eGBsbY2FhwfDwMJcuXSIkJITx8XFiY2NZXFzE3d2dtrY2rl69ir+/P//4j/8oRioFQeBywzCnqwdoH52lc2yOBbUWBwtjwt2tcbMx5VbHBD0TSr1xyWTg62CB5dIkOxPD8TOc4tKJd9iwYQNzc3MUFRWJIj79/f1izzUTExPah6YYGRvH28GSPVmZDM5q+MONTo5V9DG/pMHfyYI4b1u87czRAjdLynC3M+cfXtjB2/+53MJh48aNGBoaUlxczI4dO4iLixOjgZcuXSI8PPy+6XHT80v0T84zMDXP+NwCUR62hLlZidsRBIGzZ89iY2NDXFwco6OjaDQaBgcHGR4eRq1W4+vrS0xMDI2NjbS3tzM3N8cLL7wgTopkMhkuLi5oNBo0Gs2aJuYjIyPcvHlTr+fUwsKCXnRZ1+sxKysLGxsbFhcXmZ+fF0UXYNkguHnzJvv27RP/fuuttxAEge985zv3HcfHQXl5OaOjo6Smpn4sE2hdRHjXrl1PLKX1caGLYPj4+DA0NERTUxOTk5NUV1eLQkq6iLZuwmhubv7UKI/ejcrKSpRKJSkpKbS0tFBeXo6BgQE+Pj7Ex8djaGgoZgtUVlZibW1NcnIySqWSS5cusX//fkxNTUVV4OTkZG7evMmWLVswMzPjypUrHDp06IHGdO3aNRwdHe9pnCwsLNDc3Exzc/OKdPJPAhUVFUxPT7Nt27ZVl6tUKtERp9VqcXNzE589unZFutYtO3fupL+/n66uLnbt2vVQzqCFhQVOnDjB7t27MTExIScn5yOldIJ+yrVWq0Wr1eqNrbOzk87OTtLS0jhx4sSqddyzs7MUFxeTk5PDt771LTG6PTIyQl5eHps2bVpTZK2goAB3d3d8fHwwMTHhH/7hH3jmmWeIiYkR20709fVhZGSEs7MzLS0tBAYGEh0dveo9XFxczMTEBKmpqaIj89y5c3h4eIh10Xd+TyfQlZWVhZGRkVh3f7/rtqmpidbWVry9vUWj+kkiGYd3RzIOnyySWukHfFaNw9UYGxvT6xulU9N0dXXl4MGDq6b5zc/Pc+rUKZ599lk979/CwgK//OUvsbe3x9vbm23btnHy5EkWFhbQarXs3r1bTBG7efMmTU1NzM/Pi3WC3//+93F0dESr1Yr1HmJvx+YWpucX2bUtVex5JAgCHWNz3Ggdo65/msrOUTonVGj5S2qmkYGMZFcwbbtKY1UJ4ZFRPPvSK9xubKVvcAjlgppJExfaFqwYXlh+echl4GZjxsD0PLrbwsRQX2X1TsxY5MU4B7yW+vDycOfGjRs4OTlhbW2Nm5sbvr6+uLm5cfz4cZ577rkVKV2CINA3Oc+FuiFybg9S3Tu14je87c3JjHTlc4ne+Dpa6DURdnFxYXh4mODgYNzd3enp6aG2tpaGhgZiY2M5evQoxcXFGBsb6zXM1onaqFQqtm3bdt/mwXl5efj5+d3Xa9vX17csYCSXY2hoiJmZGQqFAkdHR7y8vAgPD+fEiRNs27YNMzMzTp06RWpqKj//+c/5whe+sGr/zidBfX09tbW192zc/ShQKBTcunULS0vL+6oUftLQXYt79uyho6OD0tJSIiIiqK6uxtfXl46ODjZv3szx48cxMzPDw8MDExMTZmZm7iu29CSZmJjg0qVLemNUqVSoVKpV624FQaC+vp7bt28jl8tJSUnBw8NDXN7b28vly5fJzMwUI4znz58nKipqzbWW4+Pj5Ofn31PU6k7q6+vp6OggKyvrqVC3XCuCIIjteJKSknB0dGRwcFBs5bO0tIS3tzf29vaMjIxgYWFBbGwstbW1TE5OEhMTI26rubmZsbEx7O3tWVxcvKtS7r0oKCjA3t5eTL1ca0rnvVCr1Zw8eZKUlJRVU8wvX75MaGgoXl5e9Pb2Ul1dzd69e4HlVNGSkhL6+vpYt26dKEim63lcUVGxQsn4XoyNjfG73/0ONzc3lEolLS0t/L//9/9EHQKlUomlpSUuLi787ne/4/XXX79vBkhHRwclJSWEhoYyPDyMk5MT/f39xMTErGqwdnd3U1lZSXZ2NlVVVQiCcF9xooWFBX72s59hZWVFXFwcW7ZsQa1WPzEjUTIO745kHD5ZJOPwAyTj8N7oavKMjIzIzMxcMSmuqalhaWlpxcO5rKwMQOxRJZfLmZqaYnFxkbGxMaanp/Umv1rtsrF1+fJl/vM//5OpqSm+9rWvMTIywrZt29BoNJSWloo92wRBIDc3l8jISKqrq0lKSiIwMFCMWnZ0dOAXEMR/5RbgG7uZxkmBc7UDCAIYyQSM5QJKjZy7XelWpoaYoGZiAbQCGBvKORDjwSub/fB1sKBhcIbyrglGZxfo6ezAQAY3OmeYki9HWD2sjbEfq+FHn88kPjoSlUpFdWsPRbVtDI2M4uLqSnB4FANT8/RPztN/x/9nF9TiOEwM5fg4mONmY4aVqSG3OsYZm11+qRgZyPjiJj/+alsg1qZGaDQaOjo6cHJyYmlpiStXrrBu3TqsrKzE43f48GE0Gg2FhYWiIbi4uMiFCxeIjo7GwcGBvLw8wsPD7yrdvlp60b1YWlrC0NBQNES1Wi0jIyOUlJSwfv16sRfj5OQkfn5+hIeHc+HCBVpbW3nuueeemj5Vdzbu3r59+30N6Adhbm6OyspK+vv7iY6OJiQk5BNZC6ZjYWEBQ0ND0dDQarUcP36crVu3ihHDqKgoKisr2bhxI76+vly6tKxKbGdnR2VlpVjzpYts63p+Pk1otVrOnDnD+vXr9VLm1oIucrWag0Wj0egZaX19fdTV1a1Qpbwb586dY926dQ9UZ3Xr1i2USiVbt25Fo9GgUCgwNzd/YtFElUrFwMAAIyMjxMTE3DV6PD4+zg9/+ENsbGyIjIzEzc0NDw8P3N3dmZ2dpbCwEDMzM4KDg8U0X53ITHV1teiElMlkpKWlIZfLyc3NFZ9Fa2VyclKM8N5ZL65SqTh79iybNm16aHVdXcnAgQMH9M7H4uIix44d03M05ubmEh4ejq+vLwUFBZiYmJCYmIiBgQHt7e309fXh6OhIZ2enGLFbC4ODgxQWFtLf309WVhZvvfUWarWagwcP0tnZKaa6njlzhomJCdavX099ff2a6kIXFhZ4++23GR0d5cCBA3R2dt6zBcWNGzcwNjYmOjqa48eP6ykdg3599ezsLBcuXCAgIID6+nrR8dTd3f3EUtgl4/DuSMbhk+WRGocymSwIOAp4AP3AnwVBaPnIo/wYkIzDe6Pr6xcdHU19fT07d+7US3V777332LVrl14PNp3K4KFDh1aNNupeaM8++ywGBgYMDw+LYgxyuZzu7m6++tWvkpycTEBAAOfPn8fJyYkXX3yRdevWid6+6elpfvKTn5CZmcn4+Dj9/f2Mj49jbGzM17/+dczNzfnud7/Lj3/842Xxm2EFP7/UwoX6IWA5KuhgaYKViSFGBnKMDeUEOVvgsjjABl9bAvx8qKq9TUTCZuwtjLE1X/kSaW5upquri7m5OTRagRlrf35d1MfYwvKL2tRAIDnQmYZBBUMzqjUdcysTQ1JDnNgd5UZaiBPmxn/xbmq0AhXdk/y5rIeTVf0IwrJYT3qYC262prjbmhHtakpl4RXS09P1DKvCwkJsbW1Fo6+hoYHa2loEQSAlJUWc3C4sLFBQUICpqSlbtmxZMb7S0lJMTEyIjo5e0/7cjZ6eHpqamkhLS+NPf/oT/v7+ore+s7OT6upqFhYWVqQWPWl06bIfbmr9oOhaZczMzJCbm0tUVNSKvmQTExNotdonLsXe2dmJTCYTBSvCw8Pv2W/s1KlTWFtbi+l+DQ0NjIyMYGdnR09PD76+vjQ2NpKZmSlOHFtbWxkeHiYlJUXcztzcHKdOnUIul69JgOJO1Go1Fy5cQKlcTjc3NDQkIyPjngqJD0p1dTVTU1MPFWV6UN5//30yMjLE5+/dembeGaF9EARBIC8vj4GBAYyMjLCwsGBxcZHs7OwVz/HH0ealra2N4eFhsSG8IAi4ubmxsLCAq6vrXZ1V+fn52NvbU1tby759+/Sitf/xH/+Bi4uLGIFWqVSo1WpCQkJISEhAq9XS1tbG/Pw869atQyaTIQgCCwsLnDp1im3btq35Hr927Rpubm4rFENhOeKmE9+6X7RKo9HQ29uLk5OTXhp7bW0tZWVl+Pn5ERcXh62tLU1NTUxMTOipYutqVYODg+nv72fv3r3iuVKr1bz77rscPXr0gZxPund2RkYGarWat956C2tra7Zu3cr09DTe3t6is6y4uJjc3FzeeOMNBgYGKC0tZf/+/eJ+T01NIZfLsba2FgXilpaWOHbsGJaWltTV1fH1r3/9nn1d1Wo1p06dIjk5mf7+fgwMDIiLiwOWVbwrKio4dOgQWq2WS5cukZSUhJ+fH1VVVQwPD5Obm8uOHTvIzMz8WIXPdEjG4d2RjMMny72MwweKs8tksr3A28A5oBsIAcpkMtmLgiCc+cgjlXiimJqaEhYWxujoKMnJyeJDVZe+Y2lpqfcQV6lUXLlyhfXr19/1oWtsbIy7uzvXrl1jbGwMc3NzrKysuHXrFl5eXhgZGeHn50dTUxMZGRmkpqYyNzfH2NgY77//vmjEGBoaEh0dTUVFBba2toyOjv7/7P13XJzpee+Pv2eYoc7Qe+8gmmgCVFCvqEur1a57/HPJxvk6iX0cJz4+OTlJjpM4iZ245CTrOO7eVVsJSUiILgSILhC9I3pngKFMYZ7fH+w8qxGgrvVuMu/XSy9JU5655ynz3Nd9Xdfng5WVFWlpady4cQMHBweSkpJobGxk27ZthHso+e7xMJIk3Rw9ehRXhSUyi9U3SINhI3l5eczMzLAwN4u7DSjWCAzVajU1NTVs2bKF+/fvkxwfT3t7O4V/upurNQ+40qyiqneagrZxABxs5ES42zEzPYGXpyczk+P4uihICA/Ax8kGH0cbfJ1scLCRrzvxspBK2BTohMVUD5/clMLfZndQ/WCac9X94mukCOwM9SNWa4m9fpmRmSWGZ5ZwCYri3u1bhIeHY2VlRVRUlHhDf1gW3MrKiv3795Obm0tNTY2Y/YWVm3hnZyenT59e95x5Wvz8/CgrK0Or1XLgwAGTTJzxudjYWIqLiz9SwiwuLi7s27eP3Nxc8Vp4Vubm5rh58ybu7u6Mjo6yZcuWVVkeYxAKPHVP0MtmaWmJ7Oxsrl+/zoEDB4iLiyMkJIS7d+8yPDzM1q1bV5UhdnV1YW1tzcLCAh0dHQQEBFBfX09SUhL379/H39+fzs7OVSqwAQEBYn+V8fy3s7MjOjqa8fFxSkpKxMn10tISzc3N4oRwLWpra3F1dRVf09nZSXl5uYlS81oIgsD8/DxqtRpXV9d1J/MTExO0tbU91uPzZRIdHS2WNre1tdHf309GRoaJzYIgCFRUVLBr165n3r5EIhEVi42BQ21tLcXFxaLqpsFgoLS0lLm5OTIyMtbdVkNDAzU1NURGRj4262ekt7eX+/fvEx8fT3h4OEqlUnyPSqWioKBgzeBwbGyM6elpdu3ahaWlJc3NzWKglJeXR2trK6mpqdjb26NUKlEoFBgMBm7dukVZWRkpKSnY2dkxPz+PXq/n7t27jIyMcOrUKfbs2UNubi62trZ4e3vj6+tr0rP4MPPz8wwNDa2b3XZ1dSUwMJCqqiqTihmVSsXc3BzwfkvBwAA9PT24urpy7949jh8/Lh4Lf39/fv3rX6NUKrlx4wZeXl709/eTnp5ucs04OTmRkpLCP//zP/M//sf/MBmvTCbDw8ODgYEBlErlU6v/trW1ERwcjKurKwsLC4yNjTE1NYW3t7dJMKxWq0Xla+M1Pz4+TnFxMbt27WJhYYHr168zMjJCVFQUU1NTyOVyZDIZoaGhLC4uIpPJUKlUjw0OZTIZu3btIjc3l4yMDK5fv05sbCzNzc309/ezfft2rl69ilwuZ9euXeI14u3tzX/+539y9OhRsrOz2bdv3+8kODRj5uPIswrSNABfFQSh8KHHdgI/EgTho9Ew9BjMmcMnYxQ9iYmJQaFQkJ+fz86dO6mqqiI2NpagoCBgRV48OzubuLi4J/YZTE9P09PTQ1hYmHgTMJrPz8/Pi0IJNTU1nD17FmdnZ2pqasTXLC8vU1FRwaFDh3BycqKzs5Njx47h7+9Pa2ur2KTv6urK5OQkX/jCF/Dz86OqqgorKysTOe61UKlU5OfnExwcjCAIqyahRtGJzZs3i76IwcHBvPvuuyYN8g0D01y/U4unlY5PHtlDc3MTy8vLJCUlodfruXHjBv7+/mLvy/T0NN3d3WLQ7eDgsEoEpba2loaGBuLj44mLi6O4dYR7XUN0jUzTPa6mdVbO8jqXsKfCgo1uMjbHhDCvXUat0WMQBCwtpFhaSJHLPvjb296SmbYKYqKjxFXo0tJSIiMjiYuL4/6AiqahWfZscMdd+XyZvbq6OvR6vViWrNfrRV+utrY2YmNjxQnxi4g6vArGx8fJzc3F3d0db29vvL291/V2fJiJiQny8vKIjo7mV7/6FQcOHFgleT81NcWtW7fEXsz1ritBEBgcHEQikZj0rT0JrVaLXC43ySgYJ3xhYWFotVqxL84oxmNlZSXaLBgMBqqqqhgcHCQiIgKlUolSqUSj0XDu3DkSExOxsrKivLwcT09PpFIpLS0tBAUF4erqyp49e9aclBnLmx/urdJoNFy6dInAwEDm5+cJDAykvr6emZkZdu3atWZZpkqlIjs7m9OnT4ufY5S1T05OXrN3TxAE8vLyGB0dxc7ODplMhrW1Nfv27Vv1Wr1ez3vvvcf27dufygPvZWBUrnRzcyMiIgJLS0vRoN0YoLe3tzMwMLCuQIuR5eVlpFLpE7N/xp4+Hx8fNmzYQH5+PjY2NoyPj7Nr165V5u7G4HRiYoJdu3bR0dFBc3Mz4eHh4iJTS0uLybWysLBAZmbmY8sPjX3Jj15fxuPp4+ODVqvlwoULnDp1irt371JQUMCXvvSlNRdV9Ho91dXVFBUV4eTkhL+/P7dv3+bgwYPY2dkxMzODUqlkcHAQNzc3bGxsmJiYQKVSERoaKp7zRioqKrCxsXnsfWV5eZn33nuPHTt24OzsTFVVFf39/SaLYu7u7qLXa2lpKXK5nJSUFARB4Pr164SHhzMzM0N7ezvW1tbU1dWRmJjIwsIC1tbW4u9QQ0MDLi4uPHjwgK1bt6JSqRgaGkIqlRIWFkZVVRVzc3MEBgayZcuWxypVC4LAuXPnRF/CyspKZmdnaWtrw9nZmeTkZCwsLBgaGqK/v1/0n7x06RJJSUn4+PhQWlrK6OgogiDQ0tJCZGQkjo6OHDlyhPHxcb7//e9jaWmJlZUVf/AHf8CtW7dMzof5+Xkxy2hlZSVe00YhKLlczujoKAaDgYyMDAYGBnj77bd5/fXXxXu3sTdYIpEwNDTEvn37fmc97ebM4fqYM4e/W16mWuk04CYIgv6hx2TAhCAIji860FeNOTh8OoylokePHmV8fJwf/OAHnDp1ivT0dJaXlxkcHKSsrGzNDMjzMDY2RnV1Nenp6bS3t9PR0cHs7Cx6vR4nJyesra0JCwtjfHyc7u5uFhYWOHHihJhVNKqxent7c/36dZqamvjDP/xDbt68+dS2DVevXmXjxo3cvXuXs2fPIggCY2NjxNIU1gAA7SNJREFU1NTUIJPJ2Lp1KzKZjPfee08skS0vL8fe3n5Vr0pNTQ39/f1otVqTUjqdTseNGzdwdnZmcnKSxcVFWltbcXd3x9fXl8XFRcLCwkSl0/7+fioqKti9eze/+c1vCAsLY3p6Gh8fH3x8fPDy8kKllfCfJT28U9nHkt6Ap7019nIDg7M6ZjVrC+msR6SHglS7CbYErCj6bd++nSULW76b3cbV+hVrU0sLKacSffjc1kACnO2wlj950mnEWLb8xhtvIJFIyMnJET0P3d3dsbKyIiEhgStXrnDo0KGnCr4+TPR6PaOjowwNDdHX14etrS3Jycnr9kkODg6SmZmJu7s7U1NTpKWl0dbWRmpqKv7+/hgMBoaHh8WVdmPgsbS0xKVLl3BychIDxKmpKTo6OnBxcWF6epqdO3diY2NDd3e3idDGo4yMjPCb3/yGxcVFdDodgiBgMBjw8fHB0dFRzLgtLCzg6+vLoUOHUCgUFBUVceLECZNtDQ0NMTIywtzcHHNzc/T19SGVStmyZYtY0lVbW0t4eDjbtm0jJSXlscewvb1dNNt+mPLycqytrbG0tKStrY36+noxIPjSl760KtDMysoiKipKXLgyYizvO3369KqM5/379xkbGzPJLObk5ODh4bGqhLq4uFg81s/CyMgIXV1dpKSkvHDGYnx8nM7OTiwsLEQlywsXLnDw4MF1VW71ej1NTU3U19ezcePGpyoN12q1YmlvUFAQSUlJtLe3MzIyQnJyMiMjI+Jru7u7xd494/7VarXcuXMHuVyOh4cHLS0tLC8vI5PJiIiIoL29ncjIyDXLMQVBYHR0lJGREZNFJFjpd29ra+PMmTNIJBKWl5f5zW9+w9jYGFFRUQiCwOHDa080NRoN+fn5aDQadDqdKFwzMDCAr68vly9fZu/evWzZsoXu7m7a29uxt7fH2dmZxcVFRkZGiIuLIzo6Wiy5fLTvbS1GR0cpKioCIDg4WLT9WYuHSyeNwZ3x3FxaWqK+vh4HBwfx90CtVotCPLa2tqSkpDA0NMT9+/fFBazy8nLS0tL4x3/8R7761a8yNzdHfX09mzZtWrNMfGxsjLm5OXp6eti7dy86nY4LFy4QGBiIvb09AQEBVFZWir7G3t7eoi6BMbM+NDSEIAhYWFhQX1+Pvb09np6eDAwMcPDgQbq6umhvb2fbtm309fWxdetWYCXwO3bsGDU1NfT09IiZZKMqsPH38vLlyyQkJNDZ2Ym7u7u4wLxnzx6Kiop47bXXGB8f5/bt2+zcuZN79+6RnZ3Nli1bfmdCV+bgcH3MweHvlpcZHBYC2YIg/P1Dj/0pkCEIws4XHegjn3WQFT9FC+A/BEH4u0ee/xzwD6z0PcJK9vI/HrdNc3D49HR1ddHQ0IBGo8Hf35/e3l6USiUzMzO4u7sTHx//0sRDBEHgt7/9LWfPnkUmk4l9INbW1kxPTzM4OCiu+mm1Wubm5sjPz19z0qfRaPjbv/1bsZfpSWVlsLLKa+znWFhYYGlpienpaXQ6HTExMWJp0P3799FoNGJGZWpqitu3b69Zanb//n1KS0v5/Oc/v0pUoKWlBV9fX/r7+9HpdDg6OnLv3j2USiUNDQ3MzMzg5+eHlZUVJ0+epKCggM7OTjZv3oxKpUIQBPHmbCx90i+viCzMqKb5wQ9+ABIpjiEbUdn4MDiuwloG1hYwNztLSFg4Egs5umUDGv3Kn8LWMbFP0s3OAmelLTKphI4xNVq9AUuZlER/Ryp6pnj4J0NuIcFdac0f7w3jtSTfJwaKhYWFBAQEMDw8jF6vJy0tDa1Wy+XLl5mbm+MrX/kK/f39oqfZR1lN8cGDB9TU1GBnZ0d6erqJgNPS0hL/83/+T7HkWqPR4OjoyNatW8nOzsbBwYGpqSnc3NzYuHEjnp6e6HQ6urq6aGtrY2lpia6uLkJDQ/H19UWhUIgiTAMDA7S3t+Pi4kJ/fz9Hjx5d81rU6/X87Gc/QyqVkpqaipWVFRYWFkgkEtRqNUtLSygUCn75y19iYWGBn58fX/7ylwH47W9/+9gJsDHQN/rqdXZ2cv/+fVxdXZ86kDJmCd98802T80atVnP9+nVOnDjBlStXOHjwIBKJhH/9138lNDSUM2fOiK/t7u6mtbV13bLH0tJSbG1tSUhIEB8zZnPXEvzIzMwUxUQ0Gg0tLS309vZy7NgxBEFAEISnUj00KrQGBgbS39/P3r17n7qs71G6urooLi4mICCA8fFx9uzZw9jYGBMTE2zfvn3N93R2dlJZWUlwcDChoaHk5eU9taiUSqVicnKSkJCQFWXo7m7efvttoqOjCQ4OFrehVCqJiYlZdc0bDAays7OpqKjgG9/4BgqFgomJCTIzM+nu7uZTn/qUKMK0vLzMzMwMXV1ddHZ2Ul9fz969e5mYmOCNN94AVtSVv/Wtb4l9g8bFFnt7e1QqFba2tqSlpa2Z1dVoNGRlZREeHk5MTAwGg4Hl5WXkcjkqlYqBgQE8PT3Jzc3l2LFj2NnZIQgC4+PjDA4OMjQ0xPT0NI6OjtjY2ODg4IDBYOBp5xHGBZ1Hs65rYcx2CYLwXF60j9Le3k5rayt1dXV85jOfITAwELVaTW5uLtHR0SYBukql4urVqzQ0NHD06FG2bdtGWVkZbW1tWFlZcfz48ceWfj6McSHq6tWrvP7668BKcP/OO+8gl8v55je/ibOzM7Ozs2RlZXH8+HGamppobGzE1dXVREV3ZmaGvLw83NzckEgkordwYmIioaGhWFtbU11dzY4dO5ienqayshJBEDhz5gwTExP8/Oc/x93dnbNnz4qWHh825uDww8McbD4bLzM43ABcBeyAfsAfmAeOCoLQ8hLGavwcC6Ad2AcMAFXAm4IgND/0ms8ByYIg/OHTbtccHD4bNTU1eHl54e3tjUqlYnl5GWdn55cuTgArdgnh4eFPrQJYVlaGtbX1mn1I169f59q1a3z7299+qu1du3aNqakp6uvrOXz4MDMzM8zPzxMcHCwqSoaHh3P+/HkOHz5sInLx3nvvsWvXrlUTv8LCQjQaDVNTU0RERBAbG7tqon3+/HkyMjLE3pjBwUEsLS0ZHBwkKyuLyMhIkpKS6O7uJi4ujp/97Gekp6ezYcMGOjs7ycnJISEhQZwYGwwGfvazn2EwGNi9ezcXLlxgYWGBL3/5y2IZYl9fH3fv3iU9PZ2JiQkxCyS3tqULL94uecCEWmMyzmMbvfnGgQj8nG3pHlfzkzs9FLSOolrQmdh8HI7z4jsnYnGwXT9LMjo6yrlz57C1tcXd3Z3p6WnCw8OJjo7mr//6r4mIiMDV1ZX29nY8PT35zGc+w9TU1EfW/04QBDG7ZcziaLVafvazn4niDWFhYQQEBNDc3CxmRDQaDa6urkgkEoaHh8VV94CAAHEfLCwscPXqVXbs2IGrq6tY2qnX6/H39+fy5ct85StfoaGhQfSOfJjKykrKy8s5duzYuhOj3NxcXF1d8fDw4Pbt2xw9elTMHAYFBYn2MY9SXl4ultb19vZSUVHBsWPHntn248aNGyQlJa1Sgy0qKmJ0dJSIiAgxMzo3N8df/uVfkpGRQWxsLKOjozQ0NHD48OF1s2darZZLly6JysfW1taPtQqYnp7m4sWLODs7o9FoCA4OJi4ujomJCcrKyjAYDERFRREdHY1cvqIaPDY2xsLCgtjnZgxYDx48iEKhYGhoiNu3b4tl+c/in2k0bD9y5AgVFRXMzs6i0+lYXFzk9OnTawruPHjwgMrKSjIyMsTPKigoIDAw8Il2NI/S2dlJU1MTcrkcT0/Px/Z9PkxxcTFNTU2i2vTo6CiOjo6kpqbS1NTE4OCg2DunVCoJCAhAqVSSl5dHR0cH6enppKSk4OHhwbvvvsvk5CRf+cpX0Ov1jI+Pi/v66tWrSKXSNQV5tFotWVlZREREPFGJ1BhEGQPShykpKcHR0RGdTse9e/d44403Vp3nIyMjeHh4vPC9sb29HSsrq3Wvu2dheXmZ//W//pfYW2pcKF1cXOTq1asmtir5+fmo1WpUKhWBgYH09PRQX1/Pm2++SVxc3DP/9ra1tTE+Pm4iONXT04MgCCbnoLFSKCoqirfffpuzZ8+uqoQYHx/nRz/6ER4eHrz22mu0t7cjlUrZtGkTly5dYufOnRQWFqLVapmZmSE8PJy6ujr6+/t56623sLe3p6Wl5bGKqK8Sc3D44WEODp+NlyZIIwhCy/sBYhrgDQwBFYIg6F58mCakAJ2CIHQDSCSSd4HjQPNj32XmpfKwOMmrLvEz+jY9bXCYnJzMtWvXaG5eOSWMk7aEhAQSEhL45S9/ydjY2BO319vbi4WFBZ/97Ge5efMmS0tLxMfHExAQQFNTEzMzM/z0pz/F1tYWPz+/VZOx8PBwmpqaTG6CfX19zMzMcPz4cbRaLffv3+fixYuihYeFhQWpqakoFApxe1KpVByrh4cH0dHRXLp0ibKyMjIyMlhYWGBqaorAwECGhobo6Ojg0KFD/OpXv8LBwYGtW7dSV1fHwMAAb731Fu7u7nzzm9+ksLCQf/iHf+ArX/kKYWFh+Pv709fXx9/93d9x4sQJfH19CQ8PZ3h4mLGman75WhIyJy/0ywIGQcDBRo6f8wcToWA3BX97KhZYEYxY0i1zsbKHv73VSdb9YSp7pvBzsmFRZ2DZYCDa24HNwS5sDnHBz9kWBwcHBgcH2b9/PzExMbi6upKbm0tLSwvf+MY3yMrKIjk5mR07dvDDH/6Qf/zHf8TZ2dlE3dRIV1cXi4uLT9VLYjAYqKysZGBgYE3j6PVYXFx87Aq+RCIhMjIShULBjRs38PT0ZHJykrm5OZRKJfv378fZ2ZmLFy/i5eXF0tISbW1tYva5tLSUqakpoqKiSE9PF1fMJyYmaG5uRqlU8v/+3/8Te1VPnTpFV1cX2dnZoniLXC6np6fHpKxyfHyclpYWXF1dTSaaMzMzaDQrwX9fXx+CIBAfH49EIiE2NpaGhgY2b96Mt7c3g4ODJu9tbm5GrVajVCqprq4mISGBc+fO4eTkxIEDB57LDzI4OJiGhgZcXV1NssQbN26ksrLSpK9LqVTy1ltv8Zvf/Ibr16/j4uJCamrquoEhrAhiHT9+nPb2drKyshAEgZCQkDUDQ1gR+JBKpYyNjeHq6opCoeDu3buo1WoOHDiAjY0NdXV1XLhwQcxcubu7o1Ao6OrqoqOjg66uLk6dOoVev9J94e3tLfq03bhxA0EQ8Pf3JyEhgcbGRpqamnB2dsbb2xs/Pz8xC6xSqSgsLOTAgQMoFAp27dpFfn4+9+/fR61WixYhD2c/x8fHKSsr48iRIyZBaExMDHfv3sXa2hqdTvfUwUdraysbN27E3d2dzMxM4uPjn5h9nJiYYGRkhC9+8Yu0tbXh4ODAzp07xYzrjh070Gg0yOVyk23dunWLAwcOMD4+zszMDB0dHUxMTNDX1yeKYslkMpNjt5ZIEnwgrhQWFvZUFhVqtZri4mLi4+NX9frGx8dz/fp1zpw5Q2xs7KrMcVtbG7dv3yYjI+OpvSnXY61y2+dlfn4eW1tbXFxc6OjoEPsQi4qK2Lp1K8XFxezbt4+enh4uXbokVqskJCTg6OhIYGAgfn5+XLly5Zn8EWHFS/PR3+tHy75h5fv29/dTWlrK1772NVGN1tPTE0tLS0ZGRigsLOTLX/4yvb29NDU1kZ6eTm5uLj/5yU9ISEjA3d0dS0tLOjo6+MIXviCWzv7RH/0RNjY2CIJAbW0tWq32I+ufasbMR40nZg4lEsnju93fRxCEgpcyopXPfA04KAjCF97//6eB1IezhO9nDv8WGGcly/gngiD0r7GtLwFfArh+/XrSen0JZn63LC4ukpmZydmzZ59r9VWn04mZFWdnZ+7cuUNUVBSbN29eN0A0GAxcvHiRvXv34uzszMTEBKWlpRw/fhyDwcC5c+c4ceIELS0t/OIXv8De3p709HR2794tThAeFZrRarW89957HDhwYN0ysoaGBnJycjh58uS6K/mCIJCTk0NzczNvvfUWV65cITg4mLy8PFJTU0Vhgb6+Pn74wx9y+PBhKioqSE5OXiV4UlxcTFFREfv27RMzVeHh4fT09KBWq9Hr9Tg4OODg4EBfXx9ubm7s2bPHZBKk0Wh48OAB7u7u4kKBsaxydnaWLfuP8aeXW6jrV617jOJ8HdjsbmB7gC1bUpKYmtcyodbi62hFcWE+Li4u+Pr6cufOHY4ePcr09DTf+MY3iImJwcfHh2PHjon7tLW1lW984xvo9Xp2795Namoqjo6O4rnj7e0tqrLOz89z+fJlZmdncXV1RafTkZSU9FRCSpcuXeLIkSPrCpEYpeh9fX2pqanhpz/9KUlJSYyNjXHixAliY2MZGxujrKyMpaUlDhw4QHFxMUqlEk9PTxoaGjhz5ozJJFkQBN577z2io6OxtbUVM2TGLJpcLufP//zP+dKXvsS9e/fYsmUL5eXlvPbaa0ilUrE3x5iBMCo/GgVkjN/F0tKSuKQUbndOUdkzRaKfA4ttpZw9c1o8r40lnDU1NYyMjBASEsLAwAAVFRUcOXKEsLCw5woKH95/5eXlovqjp6cny8vLjI6OMjU1JfZILi4ukpaWBiCal+t0Om7evEl6erqJAu/jmJqawtHRcd0AZ2xsTMy2qlQq2tvbUSgUbNiwweR3aXFxkfn5eVxcXMTHBUHg0qVLbN68menpabGf+NHSz8XFRYqKisjLy2Pfvn3s3r2b2dlZhoaGaGxsJCIiAicnJ7Kysjh58qRJwGEwGKiuriYyMpKOjg7a2trw8PAQe0gLCwtX2drU19eL/aWTk5M4Ojri6+tLSkrKYwO9xcVF/uEf/oHw8HBef/11iouL8fX1JTQ0dNVrNRoNs7OzzM3NiV60zyKa9LBvYGNjI++88w7BwcFYWlpiMBj4zGc+88SgVBAEhoaGaGtrY2RkhPj4eKKiopiZmaGvr098nbOzs8nYJicnycvLw9fXl+zsbP73//7fqwLAO3fu4Orqukooa3BwkJKSEhISEp7o1/dhY/QH7O3tZe/evVy+fBm5XE5cXBzd3d2Eh4fzb//2b8zMzBATE8OmTZtISUmhoaGB1tZWQkNDGR4eJjQ0lImJiadWkX74Gnoa9Ho9i4uLKJVKJicnqaioYG5uTvTMNS6wCYJAbm4uzs7OhISE8G//9m8EBARgZWWFl5cXwcHBZGdns2nTJqKjo19k170wb7/9Nm+//TYAX/qTP+M7DS9WImzm6TBnDp+NFyorlUgkPU/xGYIgCM9Wr/L4z3ya4NAFUAuCoJFIJF8GzgqC8NhA1lxW+tEmJyeHDRs2PLPB9MMYxW0WFhZITk7m7t2763qmNTY2Mj09bSJJ/t5775GcnMzCwgJDQ0M4OTnR2NiIlZUVQ0NDTExM4O7uzunTp3F0dMTW1lacSAcFBTEzM4NCoRB7jdZStFtaWuJb3/oWX/3qV9cs91tcXOTy5cui9UN6ejobN24UV06/+tWvmmQFKisrKSoqwsbGhi9+8YurSoAEQeDGjRtMT08TEhIimiQbMRgMogjCwMAALS0tBAcHc+DAAaytrRkfHyc/P19UqVOpVKL3YXJyMr29vcjlcmJi46gfUCEIYC23wCCs+DTe7Zrkbtckc5qVTIqVbGWSZyxJdbGz5LOb/fHX9LI4O8Xy8jKTk5M4OLngH5PC+ZwSLOYnOLo1jvT0dO7cuUNBQQFubm4cO3aMf/mXf2H79u0olUrm5+eZnZ1lYGCAbdu2MT09TVlZGREREezcuZOZmRmGh4dF761t27at20NWUFCAra0tvb29q8QMDAaDWE6qUCiYmZkB4MCBA/zN3/wNwcHB/OEf/iFSqZTi4mK8vLxEQZv09HQePHjAr3/9a5ycnNi6dSvh4eFiFrmtrY2BgQExyDf2ZQ0NDdHQ0MDy8jIuLi7Mzs4SHR3NxMQEGo0GrVbLzp07aWtrEwUrHu4b7Ozq4vrdJmzcAxmZ09I9paH8waxJabCzjZSj4Qq+diKNW9cus2PHDgYGBhgeHubgwYPIZDJqa2uRyWRrntu9vb1osWBeqqB7fJ6ZxQ+KSmQWEqzlFtjILfB2tCHR/4NgfnR0lOz828xplnGUL+Pu7o6bmxtSqZTOzk7y8/P5yle+smrS19jYyMLCwlP3gD0Jo2rxWlmOJ9Hb20tbW5sYIDyq/Gikvb2duro6QkNDaWtrIzo6Wjxec3NztLa2EhQUxMjICF/60pce6/eo0+kYGRlhaGiI0dFR4uPjTUTCjN6RFhYWuLu7U11dzde//nXu3r3L1NQUCQkJJrYID/+u5OXlUV1dTWpqKu7u7nh5eXHz5k38/PyIiIjA2dmZnp4e2tramJ+fx8HBAaVSibu7+zNnwB72DVxeXub73/8+MpmMqKgonJycxEz7ehgMBvLy8tDr9URFRYn7oK6ujvb2dsLDw8XfvI6ODiIjI8UexCtXrpCamoqXlxd///d/T0JCAgcPHjTZ/tzcHFlZWSZ9m0aV4UOHDuHg4LBm28GHycLCAuXl5WKFytjYGK+//jq5ubmEhYVx+fJlfH19efPNN7l58yZ3797lU5/6FLW1tSbfyxiESSQSduzYgVwu59KlS2zdupX+/n5iYmIeuyCUm5tLcHAwISEhTzXuxsZGHjx4QEZGhskCjLHH9+FFAb1ez/Xr11lYWCAtLY3KykpaWlr4sz/7M2xsbNb1A/1dYi4r/fAwB4fPxguVlQqC8Ox3yRdnEHg4QvDlA+EZAARBmHzov/8BfPdDGJeZV0hkZCStra0vFBy6u7uTkZFBRUUFS0tL7Nu3j+LiYlxdXUVRDlhZ6b5//76JmMzs7CzOzs7cuHGD+vp6AgICsLW1xdnZmbS0NARBoKCggOnpaf7t3/4NOzs7UUnVx8eHCxcuYGlpSWhoKL/+9a/RaDRs3LgROzs7FAoFBw4cwMrKis7OTg4dOkR5eTne3t5YWloyOztLX1+fGIy6u7tz+PBhUdm0v78fHx8fQkJCqK2tNQloN23axNjYGGFhYWv2hhg9zTIzM7GxsaG/vx97e3vs7e2RyWRIpVKcnZ1xdnYWJ0yWlpZcu3aNsLAwWltb8fDwYG5uju3btyORSCgsLCQyMhI3NzdsbW25evUqcXFxJAWYCi/E+Trye1uDWNIt8/bNKm60ztA6tRIk2lvLUFjJGJpZ4nt5nSisZAS5+rKwpGV6VsnsiAx9cwfgAXhQcb2D19p6SIoKZX5Jy+HDb2Kwt+drX/sa3/72t0lLS2P37t0olUoKCgqwsbGho6ODr371qyaT/YqKCrGP0Vgy9XDZtMFgYG5ujomJCV577TVsbW25c+eOGKzNzMyQk5MjHiODwcCPf/xjAgICkMvlDA4Ocvr0aaRSKTqdjv7+frZs2YJUKqWhoYG5uTksLS2Jj49n9+7ddHR0kJWVhVKpJD4+ntraWpMeKmP/na2tLTExMWRmZmIwGHBwcKCzs5PLly8jk8mYmJigpqaG8fFxgoODiY6OFgPDmQUdX73YSvO0BSvt4h+wKdCJLcEu3GwaoX1UzS/qZ3mnMYcgmY4LRd9nX3wIn//874lB9IMHD1Z56/VNLvDbu51cqOxlUvt0IkJBrnac3eRHsKsdl6r7yG+1RS/AP52KZn/KyvHSaDQ0NTVx6tQprly5gre3t0lGPjg4mKtXr76U4FCtVou2Dc/Do9elRCJhw4YNtLS0iMGNUbjH6PsYHh4uCnHExcWhUCiYnJzkb/7mb8Qs2uOCQ7lcjp+f37q/mbW1tcTHxzMzM0N5eTkODg4sLi6ybds2uru76ezsFM3gR0ZG2Lx5M4GBgSwtLXHjxg0++9nPolAoqKioICwsjLNnz9Lb20tVVRVTU1MEBQWJwePzYvQN3LJlC+3t7QQGBrJt2zbKy8vp6ekxUbMVBIHe3l5sbGzEDLjBYCA/Px+FQiG+VqVSkZeXh6en56qFnQ0bNnDr1i3m5+extLTE1dVVzCQePXqU69evExERYfKboVQq8fLyor29HW9vb9ra2ujo6DCx3IiMjDQ51h8WMzMzzM3NUVJSgpWVlSigplAoxAD71q1bHDt2jM7OTn72s58xNDSEjY0NV69e5eDBgyYBVXV1NZaWliZloa6urvzwhz9k27Zt3L9/X8ziP4pRzfhpe1vn5+e5f/8+jo6OtLa2mmRmJRLJqioimUzGwYMHaW1tpbe3F29vb6Kjo6moqGDnzp0fucDQjJmPK88kSAMgkUjCgDcBH1YCtncEQeh4qYNascdoB/a8/xlVwCcEQWh66DVegiAMv//vk8A3BUFY+xfrfcyZw482D5dyvqhSW3d3N4ODg6Snp2MwGGhoaKC5uZndu3fj4eFBWVkZNjY2JCQkUF9fT3Nzs+gdpdFoKCoqIjExERcXF5KTk0Up+rm5OXJzc5HJZMjlcvR6PXfu3OH06dN4e3vT3t5Oe3s7GRkZLC4uij5kzc3N9Pb2cujQIVE6vbe3l+HhYZaXl1lcXCQwMFAURoiNjSUjIwMnJyfeeecdNmzYwKZNm1heXubChQtkZGSs6xO2HrOzs3R3d4siNNPT09jb2+Pt7U1YWJi4vampKfLy8ti0aRM9PT3ExMSQn5/PqVOnmJmZoaCggKWlJcbGxvja176GTCajoKCAgICAdVeLDQYD58+f58iRIywhx1pugcJqRZm2tHOSfy3qpKxrctX7Al1sCXVXUNwxgVZvQLqsxV5Qo7Z0xpjwSva1I1zbyVxPPZ/85CfZtGkTd+/epbCwkN///d9fU8nz7t27onhBRUUFaWlpBAUF0d/fz5VbBYzhyJjEidllSz6V5g/99wgNDcVgMHD16lV8fHyQyWQMDw8zODiIu7s7dnZ2oldaQEAAp06dorW1lcnJSVGyvbOzk+7ubmZnZ9mxY4c4NqOH4S9+8QsCYjYx6xBM+8gcA+MqxmYWsFMqsZUBuiWUVhZ4uToyOdzP7MwMWpkdixJrJBZy5vsaSAt0xFO+iIPCjm3btiF19OaLv6ymZ2IepZWUPRs88XWyxdfJGvlkJ7ZoGR0dJSAwEK1LGD8p7qS6Xy3uq2gn+O1X9+NgI2dhYYFr165x9uxZZpd03GwY5lLNIJW9U+LrLS3A115OlJ8rrooP+uH0BgNLOgOL2mWqH0wxOmsqfGRELhW4/JVtxPg4Ul5ejqWlJVFRUfzHf/wHbm5unDx50mSyf/36dVJSUl4oQIGVDLy1tfUTfVHXoq+vj+bm5lUZp4ftW3p6eqitreXw4cOPzbwMDAxQWFiITCbjwYMHnD59mpCQEJOJr06nY25ujoWFBby9vdecFM/Ozoqlwf39/fzwhz/ks5/9LE1NTSwtLdHR0YGrqytvvPEG3t7ezM7OkpeXh4+PD319fZSXl7Np0yYEQSAsLExUF37ZGH3xNBqNGPRFRUXx4x//GGtra/7kT/4EQRDE/WcMcC0sLEhKSqKxsRFra2ux79toC5GSkrKu1dLy8jKFhYWMjo5y5swZ8XzS6/X84he/QCaTcejQIZNzanZ2lkuXLqFQKIiIiCAsLMzkPvXwsf4wghStVktRUZHYB1xRUUF4eDhRUVEmfdiCIIhWT9XV1eTk5LB//34sLCwoKioiNDSUgwcPIpfL6e3tFW0ljItBt2/fZnZ2lqmpKQ4dOkReXp6Jv+/Dn5OZmSlmYZ+G/Px8vL29CQgI4MqVKxw7dmzNzOv8/LwogqVUKhkbG0Mmk7F9+3YEQRBtQB4u/x8ZGcHe3v6Fyt5fBubM4YeHOXP4bLxMtdKjwG+A68ADVtRKjwCfFgTh6ksY68OflQH8MytWFv8pCML/lUgkfwVUC4JwVSKR/C1wDNADU8BbgiC0Pm6b5uDwo091dTVyuXxNTy6tVkt2djYZGRlPlJNXq9Xk5ORw6tQp8bHJyUlycnKIjY2lpaWFU6dOUV9fz/DwMHv37hVvdmVlZTg6Oq4rZGD0ejT6TNXX12NtbY2fnx+2trbs379fVCC9ePEiBw4cwMHBgbt379LY2EhgYCD79u3DYDCIHm7u7u5oNBree+89Dh06hEwmE2+SGo3G5Eb8tObXT0IQBKanp8Ug9eF+3KKiIgYGBrCwsKC7u5u0tDTc3NxoaWlh165dODo68k//9E9s2LCBEydOiH11D3vjNTU1YWdnh5eXF/39/fT19T12zN3jamaX9MgtJFjJpPQ01+Hr4UpkZCTvXsvjfJeBe6MrWUcJEOGppG9qgQXtMgDRbpa4Lw2Q5meL3LBEj0qPb8IOLGUWvJnij7V8tddda2srCcmb+M8b5RjcwshvHGBCt1ptdV+QNRELjYwNr4jpLC4uMjExgY+vL54BoUQE+DA2NkplZSV79+7lzp07JCUlUVFRYdITZ+xLc3FxYdeuXSwvL9M5OEHD0Bz3+lXcrO9nSv/ioglSBJztLLEUtExpJCwtg71hjuvfPIK/i+nk69e//jVDQ0OEhIQwODhIXFwcDT0jTNiHcb52mMVlCYEutvzHZzehmejnTsc4zQtKbjWNiCWpVhaQ7Cnn9w8mEO9ly69/9Uu8vb3x9fU1EbaClUl27b06yvvmKB7QM6eXciI5iDc2h/C9nHYu1Q7gamvBhS8mU3F7pQ9NJpNRXFzM1NQUMpmMoKAglEoljo6ODA4OMjMz80KBi9F0fq1J79NgnJy6u7szMzMjmngblSGlUimOjo6iGnJJSQn+/v5ERETg6OiIRqNheHiYqakp8RqztbWlsLCQ3t7eVQscMpkMpVKJTqcjMDBwTa/LgoICUXDq1q1bANjZ2REfH8+NGzcIDAyko6OD/v5+Nm/eTGRkpDi20tJSduzYwZtvvklxcTH+/v7U1NQ816LU4zAYDHz961/n6NGjpKSkYG1tzcWLF8nIyKC8vJyOjg5+//d/n7y8PGBFiMx4LQ0MDFBTU4OrqytbtmwRs0wPG8o/DkEQ0Gq1q453bW0t09PTjI2NsW/fPhMhloWFhccGG4WFhfj7+z91SeWj41lcXEQul5v4YhorAmxsbEhPT0cikYgenpGRkcTFxYniacnJyesqtBrbFU6ePGkS1NbX19PV1cXmzZtFZVyjbcXk5CRFRUWcPn2azs5O+vr6UCqVyGQyE3sY+GDha73exJGREVEF3GhLYbQskkgktLe309XVxaFDh1a916iqbG9vz9zcHBKJhLi4OJOy9Dt37nDq1CkMBgN37txBpVKh1+tF66fU1NQX9ht9HszB4YeHOTh8Nl6aWinwHeC4IAiFxgckEslO4EesWFy8NARBuAHceOSxv3jo338O/PnL/Ewzv3siIiK4efPmmsGhMQvT0dGxShjgURQKBYuLi5SVlREUFISXlxcuLi7s3r2b73znO3z5y1+moaGBwcFBMRiDlUlib2+viZfao1hYWODv7y+uSu/evVsUUzCyvLxMX18f3t7e3L17lwMHDuDv709WVhYhISG0t7cDK5M1lUqFSqWit7eX6OjoVcqwj05eQkNDqa+vZ2pqak3/rPv37zM1NSV6Ia7XAyORSMRy0nfffVdU5hwYGKC/v5/e3l727NmDwWDA1tYWlUrF8ePHxdLVt956i7/4i78gOjqasLAwJBIJY2NjuLu709raSnd3N/b29pSXl7O4uPhEgYJgtw/GOTExgY1Mwvnz59m4cSMe9vZ8a5sjN6vaWNRDuLOMlIRAGjvmqFXbk9WxQNO4libcKWwGa5k9S3oD3GwDILNuiH//dBIe9h+U3cbFxTGFgjf+s45JvT0MjAJyZBiwWxjGTj1ASmoq13oEcnuWaLYLY1viZv6jshP1/DyLVi4Md2lZ0DcT5tLF19M9RPXImJgYysrKkEqlyO3syawbxNHWkq0hLuzfvx+53JLr94f4v1fuMbzw8F6wRGkpJcJeR5i9QFxEMJFBvsgtpMwu6Zhd1DO7qHv/3zp0BgEvB2uaKktY0iyhdw6mflTDwJyBiXkdK2E0+Esm2DBfQ32ZHdYPlQHq9XqkUiknT54U1Q3Lysrw8PDgeJAE97k5ftOnpHdygZM/LkUq6JnRAswBkBbszO4gO2yn2nnj9AHUajUld4pZWFjAYDDQ2dlJSEiIeE4bS7PDwsL4Ykw0X1MqxazN7OwsX9vuRdfYHHUDM/zeT+/ye2nhDM9q8XWyICYmhoKCAuLi4pienmZ8fJyJiQmxHzg1NVX0cJyamsLPzw+JRMLQ0BCenp5otVoqKirYuHHjqmustbUVf3//5woM+/v7kcvluLu709DQQHl5uZg5sbS0JCIigsHBQV577TVmZmYoKipi165dTExMcPPmTcbHx3FycsLPzw9BEMRM2IYNGzhy5AgXLlxY13PSaNURGhpqcp1PTU0xOTnJzp07UalUzM7OcurUKS5duiQGg4GBgSQlJVFQUEB7ezvz8/M4OjqKFQqnT59GLpcTFRVFbW0tiYmJosLls+wn1YKW7MYR7rQOsTval6MbvbF8v++4qLSCOcdQFl03cG94ESfbZTbGJ1BZWcn+/fsRBIFbt25hbW29amHJ19d3lTpoX18fY2NjHD9+/Injkkgka36PqKgorly5gp+fH7m5uezduxdra2vm5ubQarX4+/uvmxmMjo6mvLz8mYLDe/fu0d7ejk6nw8bGBo1Gg62trWghNTs7S3JyMo2NjVy8eBE3NzdGRkbYuXMnnp6eCIJAU1MTBw8exNLSkoyMDLKysrCwsCAiIkL8HOO5/2hVjrH14caNGxw4cMDEz7C+vl68FwcHB1NbW8uGDRsoLCwkLi5O7OPU6/VUV1evGdjBSuBYU1ODi4sLtbW1JCQkcO/ePXbu3CkGeOHh4aLP68PjHhgYYGFhQVRVXgsPDw/c3NyoqKhgcHCQoKAgcduLi4sMDw8/lT+pGTNmVnjWzOE04CYIgv6hx2TAhCAIji9/eC8Xc+bw48GNGzdISEgwKU0xijsYe1EeDsTW45133mFhYQE7OztSUlIIDg6mqqqK8fFx0UT50KFDJquJLS0tTE1NiWWAT8vVq1dJS0sTJ913795lenoaqVQqCu3Y2tqyb98+BgYGRJn7h7G0tGTjxo1PpdZq7Bd6dJW2u7ub+vp6EhMTRYEZDw8PccV5PSoqKlAqlWg0Gnp6eti5cyd9fX3U19fz+uuvr1vmW1NTw29/+1vOnj2Lvb09fX19hIeHk52dzdGjR8Venkezn49jYmJCNGq+f/8+GzZswM7OjtbWVo4cOUJpaSnW1tZcv34drVbLd77zHdRaA3nNo2TW9nK3R4XOIMHPwRJfKw3dC5aMqnV42FvxL28k4O9sy7JB4Mq9Qf4lvwO9QcBBqsVbN8jeWD+6q/I5cewo586dw8/Pj6S9J/jLnD4mNGtPCGVS0BvAQgLHwqzxMkzg5uVDe08/o5belPUvsKT7QHznYIwntX0qWoZnAVBay4j3cyTBz5GUIBdSg51parjP4uIimzdvZnl5Gb1ev+7+6+npobW1VZxM/9Vf/RUe3r64+gQyOK5iw4YNFGX+hj946y0sLS0pKSnBx8eHTZs20dLSwvz8vNinZGR+fp729nbu3btHd98gZfpguvWOwEqp7+lEX04m+rA8Oy4ufigUCi5fvkxycjL+/v5cvHiR6OhoHjx4IPZQGhcujP1MBoNBnBAuLCywvLzM7owTHPnhHcbVH4jZONjIORznha+mj+Pp8SZqk729vbz99tvY2NigUChwc3NDoVDg5OTE/Pw8KpUKBwcH5ubm8PT0RK1Wi+PRaDRUVFSIaozPKiZiMBh477332LFjBwaDgX/4h38gNDSUI0eOmAQu//zP/4xUKmV4eJg9e/YQHBxMV1eXGBhOTU3h4+ODWq0mKioKZ2dniouLiYmJYWxsDIVCsa5lS3t7O729veJvweLiIjdv3iQxMZHAwEBu376Np6cnERERjI2NAZiUSwqCQEVFBQMDAyQnJ2NlZUVNTQ2RKTv4RdmK7+kmix5OHdpLf38/zc3N7Nmz57HWBmqNntzmEa7VD1PcPo7e8ME8w11pxZlkX9pG5ihoGcGA6XWVHOjEaZcRdqVvoa2tjeLiYv78z//8iZP7hYUFMjMzycjIeKy9iZGpeS2lnRNU9qyo9Y7MLrE52IW9UR5sDbTnXkUJCwsLaDQa7OzsUCqVYj/y9u3bxe8vCIJY2glw+fJlUlNTTXpFDQaDaHWTnPzBQn1zc7P4O/5wv7hRIMza2pqgoCDq6+tpaWmhr6+PxMREduzYIS4W9PX1rfLxW1pa4sqVK2Kmd2RkRKzsWC+w1ev1JvvYKMLzsH9pZ2cnvb29WFlZieqtOp2OiooKLCwsVv2OwMo139nZycGDB7G1tWVqaora2lqUSiWpqakmr52fnycrK4v4+HhRnOjSpUvs2bPniYrES0tL3Lx5k02bNr2wpcjLxJw5/PAwZw6fjZdZVloIZAuC8PcPPfanQIYgCDtfdKCvGnNw+PGgu7ubnp4eE0uG3t5eOjs72bt3Lzdv3iQ2NvaJN4Dvf//7xMXFkZaWxs2bN/H29mZgYIBTp06xsLCAjY3NqjKTixcvsmfPnnVtKNajvb2dkZERtm/fzsDAAJWVlRw/fhwLCwtaWlr46U9/ysGDB0Uj4hfF2GcREhJCbGwsEokElUrFzZs3RSNz4+sKCgqwtLRk27Zt6waIExMT/OY3vyEoKEgs2zUYDKjV6ieWkZWUlFBRUYGzszPLy8sMDQ3h7e2Nvb09wcHBJpOhhzGW8iUkJIiZYLVazfXr19m1axceHh6Mj49z5coVHBwcRBGPpaUlzp07x9LSEkFBQbi5uZmUOF27eQtvvwASosL567/+a5y9/CkRIqnomVpzHNs9DRwLELC1klFTU4OdnR2Tk5O8+eabtLa20tHRgZuXL+VDWqyUToRHRiORSglxU5Dg74i9jZzvZrfyy7sP1t1H0W6WzC9b0Du1KD5mLzfwJ/sj+dSWEOQWa0/YlpeXRfGMkydPrpogLy8vc/HiRfbv34+TkxP37t2jsrKS0NBQMaisr69nYGCAH/zgB1hYWLC8vCxmK9RqNZ/61KfWLZXT6/Xcvn2bn//iFyjCtxAbHshbZw4gkUhoaWmhsbGRgwcPolQquX37NkqlUjRK7+zspL29HYlEQnh4OK6urty4cYNTp05hZWWFWq0mPz8fpVJJdHQ0Hh4e5ObmEhERgWDnwq/uPqB1ZI7WkTkm1B/0J3rZQkZiEClBzkR52dM5piaz9D61HYMkhHjhoB1HOt1HfU0lu3fvJjExkcuXL3PmzBlSU1O5efMmYWFhAFRVVREVFUVsbOwz9YkZg4aRkRFGRkZwdXWlsrISqVTKqVOnRIsNHx8fKisrqa6uBhAzN7OzswQHB+Pr64tUKhUrFgaHR9i+bSsSiYSZmRlu3rzJ/v37yc3NXWV58jBXr14lPj4eR0dHrt3IplLrja3CnlAXayY66vj/Pn0SW6u1S+pGZ5d4p7KPtsEp1NMTjA8+wMYnknsjS+JrPBUy/izNjhN7tzE6OkphYSExMTFERUVxv7WDssYe7L0CUeksaBycpbBtTCw5lkogysWClEBnslsmGJp/aM4hCKQFu+BkZ8nMoo6W4VmmF3Qk+Sp4zX0cvWYRjUbD5z//+cceH41GQ1ZWFjExMYSEhpHbPMKDyQX8nW0JcLHD0VbO3JKe2SUdTYMz3GoapaJnEsM60x+JBGJ9HAhV6PEQpvnap46I94qhoSFKSkrw9PQUe6+lUimRkZEkJiYyNTVFTk4OJ06cEAO+6upq1Gq12Fe5bds20RLm6NGjjzWZn56e5tatW5w6dQpBELh69SpRUVEEBQVha2tLVlYWCQkJq4SLjNdfUlISd+7cIT09HQ8Pj3U/51HKysrQ6/V0dnayZ88eAgICxLL4xMRE8vLy2LhxI11dXYSEhJCYmGhyPxUEgfLycqampti3b99TewwuLi6SnZ1NYGAggiCwtLRkIkr0ccMcHH54mIPDZ+NllpW+BVyTSCR/xIrknR+wABx9sSGaMfMBgYGB3L9/X5QghxVvQKMKXGxsLI2NjY8NDgcGBnB0dMTCwgI7OzuOHTtGUVER6enpyGSyNQOewcFBbG1tnzkwBMSspFE17uDBg2LJTUREBJ/5zGdobW1FEITn8nF8FIlEIiqeXrlyhc2bN3Pnzh22b99ukv2QSCTs2rWLgoICSktLRdGGRzFmGT/72c+KAYjR7uFJbNu2DScnJ+rr68WActOmTURERHD79m2Ki4tXhFEemtxNTU3xz//8z9jb21NRUUFqaioZGRmij6NxEjMzM0NnZyef+9znxOyltbU1jo6O9Pf3s3PnTt577z0CAwPF47Z9y8piQEzYitqgpaDl/+715N0WB67fHwbAQirB0caCNJtRolwsSN2USmFhIf39/bzxxhtMTk7S3t6Ovb09CQkJ2NjYsH2LFyEhISY2ICqViquXLvPHBw9ydKM338tpR63RYy2XYiWTssHdhj1BttgYFmhqasY6JYxujYLJwR7eSAliY0zYuvt1eXmZnJwcXF1dcXV1pby8fNXxa2pqwsfHBycnJzo7O+np6eFzn/scN2/eJDIykomJCSwsLLC3t6e2tpZNmzZhYWFBcnIyarWaoqIiVCrVusGhTCZjz549LC0tceHCBZxDV/rjamtrGR8fFye23d3dzMzMmKh1hoaG0tnZibu7O5WVldjZ2bF582asrKzo7++npKSElJQUkxI8o+Lj/v37+faRD3qm2kbmuFDdz+V7gwzPa/lpSQ8/LXnUZcmVvi4d4IiFxJHdGVuYnm1AKpXyrW99i5ycHEJDQ/Hx8eFHP/oRBw4c4PDhw9jb2zM7O4ta/YEIj7u7+2MzVcZsyPT0NG5ubuh0OsLCwpDaOnJvRIPKbSN/+m4lyKwIdpBy9uhZFAY1nt6+zC7pGJvVUDUyx68aWukcUzOkWmJItcicRk9AeRGxPg5s9HXEz2ulLzAwMJC8vDz27t27ZpC0bds2cnJy0BsEsud8KemZAWbef9aOn/yfXKJ9HEgOcCLQ1Q4rCykWUgnFHeNk3R9+KLMnAYtAGFnCSibhdJIfjYMz3B+Y4dtF03gGjmPAgkm3BP73rU7af93CHMZzp0scjwSI8bAmwnqOw3HepKckcP78ec4oxok6dori7hlm+lqJcdDx+5/7QJm3Z2Ke1//9LjUDavRaJZ9Li+L2vT5+8d18DFjgqrRCrl8kwMmSIykRpAS5IJesZOVCw8JpWbDjD/65mM6xD47lesgtJGwNdiEt2IWUIGfclVbcbh8nt3mU8u5J7g/McB8AS0p/WMi/fT4db0cbvL29OXXqFJ2dnTg4OODu7o4gCNy8eROpVEp8fDzR0dHcuXOHffv2MTIyQk9PDydPnkQqlVJaWsqNGzeYm5vj8OHDjw0MBUHg9u3bbNmyRQyuUlJSuHjxIoODg2g0GpydnXnUv3l2dla0gBkfH2fz5s2PDQwFQeCdd94hNDSUxMRE9Ho9LS0tWFtbk5qaSm1tLQEBAUgkEjZt2kR9fT2Dg4OMjY3xxS9+cdW2jYI/UqmUQ4cOPdPCi42NDUeOHCEvL4/JyUlef/31p36vmQ8HcxD2X5/nUSuVAWmANzAEVAiCoHv8uz4amDOHHx+MQg7btm3DysqKO3fumNhOXLhwgf379+Pg4MDg4CC1tbWEh4eLvQqXL18mIWGld+Vpby7Z2dlER0c/t5VGSUkJvb29JCYmrilmk5+fT0BAwJom0i/CwMAAJSUlbNiwYc1eTfjAB8zBwWFVKU9LSwttbW24u7ujVCpF0/Rnpaenh9LSUvbv309XVxfd3d0oFAoePHiAIAhERkbi7OyMRqPh6tWrbNmyhRMnTqBWq/npT3+KWq3m6NGjolqkcQKemJhIdXU1p06dEicZFy5cQKPRsHv3bvR6PbW1taKwAayU9U5MTAArZVeenp6cPn1aHOvo6Cg//vGP8fLywsLCgtjYWHp6erh79y6xsbF88pOfpKenhytXrrC0tMTi4iK+vr4cPXpUPH7GzI63tzcSicQkMFoLjUZDeXk5w8PDKBQKE7sKQBQxkUgkGAwGcnJycHR0JC0tDYPBQGZmJklJSWKvq1Ed8eTJk4yOjopZCFtbWxYXF7l27Rpbtmyhu7sbpVLJ+Pg4giCI/VMqlYodO3ZQWlrKpk2bHtsnpdVq+dWvfsXo6CjOzs6kpqYSGxuLTCZDrVZz7do1EyELI/Pz82RmZhIQEIBGoyE9PZ3q6moGBwdXWYg0NTXx4MEDhoaG+MQnPrFmwKrVG7hUXEdF9yQjBgUdo2oCnW2wWxpnd/IGHszoqelT0Tg4g0EASwsJaS5aTsU4oR7rp6qqiri4OOzs7HBzcyM5OVkMdI1lggsLCzg7O7Np0yZR1XjTpk3iuaWen+frPzxPy+g8VhYSdqVvZlGQc+teD2Oa9W08pBLWzVSth0wqIc5By5+dTEY3/oDp6Wn8/f1F+4KFhQUSExMJDg6mpaWF/1czy9XGCWxl8MZGF+51DzMvd6ZjXM16t3qpBA5EexJoNc/sggYP30Dk6LEarufg7u3Yu7jz5V9VU9q5Wk0YQCYBTxuB2CBPLHVzGGZHSfa2ISrIGz8/Pzw9PWlqamJ0dJS6ujrc3d05evQo//RP/8Tv/d7vrfKUbB+d4+y/32V64cnTCgsJ2MkEliVStMugW175kj6ONuzZ4M7g9CK9k/OoNXrsreXY28jxcrBm7wYPdkW642CzdjZ1QaunsmeK0s4JLlQPoFrUYWdpwV8ei+a1JN81F/h0Oh03b94kICCA2NhYsrOz8fX1paWlZVUZbmNjo9gnt5afn5H79+8zOTkp2qssLy9z+fJlkpKS8PLyYn5+np/+9Kf80R/9kVh2biwHTUlJwcHBgdzcXFHUaT3GxsaoqKjAzc1NFJ25f/8+Z8+eJTAwkBs3bhAbGyveG//u7/6O5ORkIiIiKCkpYefOnWIbyNLSErm5ubi7u5OSkvLci6EGg4HFxUUT782PI/8VM4fm4PC/Bi+trPTjjjk4/HhhLJNUKpVERkaaBFXNzc2Mjo4ikUiYnp5m06ZNNDU1odPpCAgIYHBwkIMHD/Lb3/6WuLg41Go1arVa7PWTSCTExsaKpTgzMzPcunWLM2fOPPfNTKVS0dTUtG6/4tTUFPn5+bz22msvJXv4rCwvL5OVlUVoaKgYvBol648dO8bCwgLFxcUmiqMvgl6vR61WMzc3R2NjI4ODg0xOTiKVStmyZYvJftLr9RQXFzM8PIxEIsHa2horKyuxHKm4uBhHR0fi4uIYGxujvLyc1NRUysrKOHnyJIWFhbi6uoqBrUaj4dvf/jZ/8Ad/gIWFBd/73vf49re/jaurKwsLC/zsZz/D1tYWnU6Hs7MzFhYWlJWVERAQgLOzM1KpFF9fX+Li4igsLMTPz4/m5mba29vx8/Nj//793L17l23btuHp6cn58+fXFQ15lPUk1ktLS5mYmCA9PZ2SkhLc3d1NFDhnZma4ceMGx48fx9bWlpycHHx8fJBIJKKNwsNZY+PrJRIJBw4cwNHRka6uLiwtLVEqlaLq4Pz8PNeuXXuiEmV1dTUTExPMzs6K14larSY7O1sMUObn55FKpSY9qq2trfT19bFhwwbKysoIDg4mMTFRzMDqdDqKi4vRarVERESIvZ5vvPHGmhPa5eVlzp8/L+6HiooKbGxsTCwoHkzO80857VytHxIfi/VSsC3AFje5BgvtAlUl+VhLljl27JhJZluv1/Pzn/8cKysroqKimJ6eBla83iobO3i3R0b3/NrH2VouJc7XkRA3OwJc7JBbSKntm6amd5qR2SXkFhIcbOQ42VoS7qEkwlNJuIcSXycbvB1tUFrL6BxT0zAww+32cW42DosBZbijBHd1J4nuFqSmpDAns2dQLdDQ1IyrkyOjemuuNU8jlwr80+EAmu9kkZaWxs6dO5lb0lHXr6LmwTTjcxq0egPaZQO+Tja8meIP81NUVlaaWBioVCqys7MJDg6ms7uXS32WNE5LcZLp8FfARn8nTmxPIsxDScXdUhwcHNa0AREEgQsXLoh+ev/n//wfoqOjGRsb4+tf/7pJJt5I4+AMX/hFNQprGXsi3ZhvL0czMw7W9qTu2Me1svuMS5xoGV3g4RmMv7Mtf7AzhFOJvqLozYswMTHBO1eyKF3yo3xgpSR8T6Q7f3sqFvf3xa2WDQIPJufxcbJBKhgoKChgfHyc5eVlampqOHPmzLoLRwaDgctXs1DPzeDh5orBYMDe3h5fX1/0ej1VVVViGTasXINarVYssywpKaGwsBA3Nzc+8YlPIJVKycpaOe4BAQHASj+5VCp9rP9ibW0tMpmMmJgY6urquHLlCidOnBBLxEdGRqioqOD48ePMzMzw29/+Fg8PT7Zu3UJFRQU3btwgPDxczLjHxMQQsSGK6t5pFnV6Alzs8HOyfSnH5OOGOTg081HlhYNDiUSyFTgmCMI313ju74ArgiCUv/BIXzHm4PDjx3qN9Hq9nvfee4/IyEhiYmLE53p6eqioqGDfvn24uLjQ1tbG/Pw8SqUShUIh9kRoNBqKi4vFFc8n2Ve8LHJzcwkJCXlqk+CXjTFrl5qaiq2tLbm5uWJpHSBO4h7NAL1M1Gr1Y4U/9Hq9eMyMx9WYJTt+/Dg1NTV4eXkRFhbGrVu3iIiIwNPTU3zezs6O2dlZ3n77bVJTU0lPT+e9996jt7eXP/zDPyQ7O5u+vj527txJZ2cnO3fu5Mc//jERERGivUlYWJg4xsXFRTIzM8Ue2Ly8PEpKSggPD8fFxUW0KQgICCA6Ovq59sn09DQ5OTm4ubmRmZnJ5z73uVVS8bDS21pdXY1er0ev1xMTE8PIyAgHDhxYU7BmZGSE8vLyJwb89fX16HS6dftDH6agoABPT088PT3JyckhNTWVoKAgDAaDmGndsWOHKBqzuLjI97//fezt7fnEJz5horA7PT1NXl4eoaGhohqhSqXiRz/6ESEhISQlJREaGroqq1JXV4dWqyUxMfGxgXnT0Az/WthFfuuoKAr0MNGetux3nydIYRA90pa0enJLq3Bw9yUuZSsDY1Pk3S5Bg5zWZQ/mdQLWEj2fSfVBr19maGwSmUTg8KZwdscHYyVbO3uo0S9jaSF9poWhvskFflrSzbuVfWjez4pZWkjQLQusdee2kMB/fHYT28Nc+OEPf4iPj89TLUZdvnyZrVu3rvKKNKooh4SEiL8JRsuF0tJSXF1dSUhIYGlpicuXL3Ps2DHs7OzQ6XQ0NTXR3NzM2NgYQ0NDJCUlceLECSorK7l//z6RkZEmfeXr0dzczPnz50lMTOTw4cNiH/fY2BhJaVtRL+mxkVtgbSl95v37MDqdblXPXGZmJoGBgbS0tNKhc+TdDgMLOgEHGzl/ejCCgelFrtwbZHhmCR9HG762L5wTCT5YSCXodDo6OjpoamrixIkTq/rbB1WL/NW5UgofaAhwVfCd/V7kZF5Ap9ORkpKCvb09ISEhYkZucnJS9BiUyWSij+X27du5efOmuNhkVKJ9+HtdvHhRPDZrfe9f/epXeHt7MzU1hYeHB5GRkfj4+NA5pub7ue0MzywyOjGNILNCvaRFa5Cg0Qu4WAtsCnBkW5gbLfXVxCRsQie1orJniqK2MeaWPhBek0rATWmFk60lTraWuCmt8HWywdfJFqkEWkfmaBuZY2R2Cb3BgMEATnZyvnEgkh3hq71qPy6Yg0MzH1VeRnCYBfyrIAhZazx3EPiKIAgf+b5Dc3Bo5mGmp6fJzs5m69atlJSU8Prrr79yuevJyUny8/NFcZWHMQq5vGpmZ2fJylq5lPfs2WMyIaytrRX7Zj5qGNX6JiYmOHv2LDKZjKmpKQoKCjh9+jStra0MDQ2xZ88eqqqqkMvlFBcX4+DgwIYNG8jMzMTDwwNPT09sbW0ZHBzE29ubxsZGbGxseOutt9ZVBB0bGyM/P5+4uDhCQ0NNXjc2NsaNGzewsrLizTffBFYyAhUVFWKQ+/AfhUKx6jzLzs5GJpMxPT1NREQEzc3NREVFMT8/z9zcHNbW1sTHx4vKg++++65om5GWlvbC5+3CwgJXr17l7NmzT5xcLywscOXKFbGf1RhU3bt3j7m5OWJjY8nLyyMkJASFQkF1dTVhYWGicm5aWhpSqZSOjg6qq6vZvn27ifoowM2bNwkKCmJoaIiJiQmSk5NNFlS0Wq2ohjo/P/9EwYoFrZ7C1nHyWkYZnF5kQq1heGaJRd2KR+auUEc8bSU0jC7SNq5B95j6z0illn/5VBoRASuT9uvXr7OwsPBKe6Nml3Rk3R/mfHU/9/pUyKQSQt0VRHnZY2tlgUa3zPDoGCEWU6QG2GNtbS2KSjk4OKy50GCkv7+fhoYGMjIynmlMOp2OzMxM0tLS8PX1pbW1lQcPHohlpCEhIWzcuJGCggLi4+Pp7+/H1tYWf39/zp07x6FDhx5bwq/T6bhz5w5LS0vs3r3bpDfP6CG7f//+VbYkz4ogCNy9e5eOjg4OHz4sln+2trYyMDDA3r176e3tpby8nGmNQKHai8r+eZNt2FpaiH6rER5K3kjxY0uIK+EeCipr7lHTM46VVzhjc0vMLuoZmpqjpGua5YdOM09bCX9/0JswX3dKSko4ceKEuOBhXHhJTU0Vr5XCwkK8vb0JDw/n3LlzHDx4EK1WuyrAh5WS7ampKTGDqdVq6ezspLOzE5VKRWtrK5/+9KcJDg7GysoKQRC4WDPAX2Q2idfI8xDuocBdac2DqXkGpxefuazayKlEH/7iSBSOth8sABkMAr8qf0B24whxvg4civVio68DY3MaKnumaBicYUm3zLJBwCAIJAU481rSh69iag4OzXxUeRnB4SDgLwjCql+J93sQ+wRBePWz2hfEHByaeZSpqSmuX79ORETEql68V0V7ezt1dXUcPHgQe3t7tFotRUVFjI+PExgY+Mw2Gs/D5OQkGo1mVTA6Pz/P9evXxYzNRwmjQqu7u7vJPjKafYeFhYl9eSUlJURFRfGDH/wAQRD43Oc+R2FhoWii7uHhgcFgYPPmzXR1dfHmm2+ua9dhxDiJ6u7uxtPTk23btomTt9raWnJycnj99dcJCgqiqKgIqVRKeHg4c3NzJn9mZ2fx8fFh27ZtyGQyBgYGKCgowMrKSvSRHB8fZ2BgQAwmVSoVdXV1eHt7MzExwaZNm567N3Y9srOziYuLe6oFiv7+ftGE3rhvsrOzOXXqFJaWluh0OkpLS8USOIVCwfLyMuXl5UxMTODk5IRKpWLv3r1r9hb29PTQ1tbGgQMHmJmZ4fbt2/j4+JhkNouKiqisrOTLX/7ymtYFk5OTtLW18eDBA7Zu3Sr2aorPz6j5RcUgb9/pNskqSiTg7WCDncyAemKY5LgNONhao7CWEeVhx2zzHT75yU+Irzce1w9jYQdgfE6D0lqGtXx1htJgMDA5Ocnw8LA40b98+TIxMTGEhoaumV01Clo9i5KlEWPp/6FDh+jr6+PnP/85O3bsYP/+/djY2DA9PS2W0s/OzpKdnc3rr79Od3c3gYGB6wqVGNVHAwICSExMXHPBwmir8CIK0MvLyxQUFCCTyUT/vn379qFQKEwqEWClT7C1tRWdTs+UYwR5PQtEeCg5neRLgp8jV+qG+H5uO4OqDxSJHWzkqDV6lteKigSBnUEKYu1mONdhYExriY+9nHO/v4WpgW6Gh4fZuXMnXV1dtLa2riysbN7Cz8t6KWoZZnJiHF8fH+ysZDA/hb+LHZHB/ozMLjE8s8SyQeDsJj+cLTTcuHGDmpoaduzYgUKhYGJigqCgIMLDw5mfn6elrYOQjamMzCwxOrtEYduYKN51MsGHT6T6Y2tpQV11JfHRkQT4emFpIaVleJa73ZNU9kyh0S+jmVPhpLAmNdKffVEeBLjYvf9VBQpvF6NaWiYiLonpeR2js0sMTC/SP72AftlAuKeSDZ72+LvYIpdKkUggq2GY7+e2o9EbcLaz5GSCD0c3eqOwsuDPLjVQ/WDaZJcqrWUm2cqHeT3Zl+++tnZP/qvEHBya+ajyMoLDOcBdEITFNZ6zAcYEQXh1dWgvCXNwaGYtjJmZR8t+XiVGtcakpCTq6urE8ti8vDyUSuWaflEfFgsLC2RnZxMaGkpcXBwqlUo0aX5S4NrX1yeaj7+qsVlYWJhk7ozCMK+//jqtra2cO3cOHx8fGhsb+cIXvkBbWxtdXV0cPXqUixcv0tvby7Zt2zh8+DClpaWkp6evudq+HgaDgfr6eoaGhkQlPkEQ+N73vkdrayuJiYls2LCBHTt2rLkfBEGgpqaG3t5e9uzZQ3Z2NrOzs5w+ffqx3nEGg4HW1lb0ev2avV0vSnd3t1hu+ywY5fUTEhLEAMxgMFBTU4OTk9OqRQajsunGjRvXDQ4MBgO3b99meXmZXbt2iZYsVlZWpKen09raSkVFBVNTU3zxi1/E3t4enU7HyMgIg4ODDA4Oiibg7u7u5OTksHfvXtzcVsrThoeHuXXrFgkJCbgHhvPz0l4AUoOdSQpwxsFGTkNDA5mZmXz5y18W39fZ2cnIyMi6qr8fRWZnZ2loaKC3txcfHx/i4uLE0t6BgQHq6+tXqV0+C729vRQUFBAREYGfnx8lJSUEBwfj7e1Nd3c3Xl5eolDYzZs3iYuLW5UpfhitVktWVhYRERGPLfM32io8q0WDEY1Gw61bt/D09MQ4LzBWCDg5OeHl5bVK4KukpISlpSUmJydJSUnBycmJubk5FhcXCQ4ORi9IuFY/RGnnBHe7Jxmd1SCVQJi7AtvFMWwM81gsa1leUpMS7EZ3QxWf//znqb7fwq8HneidWcbZWsI/vpGEMNjI8PAwISEhREREoLWw5Y/P3aO8e21LnrWQSCDOcZk/PhCNpV7Ng55u4hISGdJYUts3w/0BFW1DU0wtri5TtpFb8FfH1xfgWQtjefHD15ogCNy5cwe9Xs/y8jKOjo6P7X98lO5xNX/2XgOVa1gRuSmt+OO9YXSMqrnRMMTYnBY7SwuSAp1J8nfC0VaOVCrBQiIhxM2O1ODHeyW+CszBoZmPKi8jOKwC/kYQhMw1njsOfFsQhKe/2n9HmINDMx8lxsdXDMRTUlLE0rzl5WVyc3NxcnL60DKZa6HVasnNzWV+fl6cZDc1NXH48OF1+wU7OjooKyvD19eXnTt3rik08aooKCigvr4eS0tLxsfHGRkZ4U/+5E9WJlVaLf/+7/+OUqlELpdjbW1Na2srp06dEstQn4fS0lJ0Oh07d+5kfHyczMxM7ty5g7W1NRkZGSQmJuLj47NuANTf309BQQEDAwO89tpr4gT6d8Xy8jLvvvsur7/++hMXSvLz80XrF7lcjr29vaiouLCwQH5+PtbW1mLQ+zwIgkBVVRUjIyPs27eP4eFh3nvvPTo7Ozl06BD79u1jcnKSkpISNm3aRGVlJZ6ennh7e4s+m0bGxsYoKCjg8OHDjI+PU1lZyY4dOygsLDTJDj28L86fP09qaiqVlZUcOnQIBwcH8vPzCQsLW5WF/DiwvLxMT08PNTU1oihQVlYWmzZtEvvaXmTbxutdrVYzODjI0NAQs7OzHDlyRHyur6+PtrY29u3bt+Z2tFrtii1FaCgxMTFP/FxjMJecnCx6Vz4NRiGlDRs2rOoTHhkZoa6ujv3796+6dg0GA1evXiUwMJDe3l4Tu5+hoSE2bNjA4uIi/v7++Pj4MKhaxMnWEv3SPBcuXCAsLIw7d+7g4uJCYmIifn5+5Ofn4+/vz8ZNm/m9n1Vyr3/FguRInBef2xLA5LyOB5Pz/GthF6pFHQ5WUg55a9i1LQ2DQWBuSc/A9AIl91pwcPPCx9kWLwcbhmcWebeyD/3qVttVWEjA19kWLwdrPOyt8XSw5vVkP0Lc1u8NX4/h4WFKS0txdHQkKSmJxsZGtFotu3btwmAwiIF/ZGTkU29TEATq+lVcrR8i6/4wY3MaXk/25X9mROFgK18pcb56DZUWUmMjiI15vt7vV4E5ODTzUeVlBIefAL4H/AEr4jMGiUQiBU4APwa+JgjCOy9vyK8Gc3Bo5uOAUa58z549z+W5+LIwGAzMzs6KpYO1tbVIJJI1+5cWFhbIzMzk6NGjNDY2MjExwf79+5/a+PhRhoaGsLKywsXl6VZ6b926xeLiIoGBgdjY2ODs7CyuXMOKqEVHRwc+Pj60t7fj7u5OX18fZ86ceW7xHUEQyMnJwcbGRrRm0Gq1TE5OcuPGDdzd3YmLi3usyEtRUREGg4Hdu3c/1xheFjk5OURGRtLX14ebm9tjA1VjeeCZM2dYWlpidnYWCwsLFhYWxCxVUlIS4eHhXLlyhfT09Kc+jmvR1NREVVUVAQEBREREMDk5SUdHh6isOTQ0xHe/+13efPPNxy6o9Pb2UlZWhqWlpajs+nBf2cM0NzczOTlJenq6aBVz8OBBrl+/zptvvvmhLny8bPR6PdXV1aLFydGjH55cgCAInDt3jqNHj64ZkGdlZREYGPhMmfH5+Xkx2xcbGysqJLu5ua2ZiTea1BuFlJ6V+fl5rl69yoEDB8QM7I0bN3jw4AGjo6Okp6ezuLiIwWAgISGBmZkZfvWrX+Hh4cHWrVt58OCBiSr2wsIClpaWyGQy9MsG/vbSXX5dr0KzRqtftLOEb+70JjEqdNUiXVVVFdbW1qJi8/T0NOev5TCg3EB+6zhLegNLWj0Gg4E4f2eSA5yI8rChv6mKL7x5CrnFy1MSFQSBrq4uamtrcXFxYdeuXSbiYkYro8d5FcPKPejRAH3ZIKDRL2NrKRNfk5OTg6enJ6GhoVy/fp0zZ86YXKMajWbdfvJXjTk4NPNR5aVYWUgkkq8B/wewAiYAV0AD/G9BEL73ksb6SjEHh2Y+LtTV1SEIwmOFJD5s1Go1N27cWFN4Izc3F19fXzZs2ABAQ0MDra2thIeH4+3tjaur61OXJjU0NNDW1gaAg4MDSUlJJgqXjzI8PMzdu3c5efLkup9hMBi4dOkSlpaWhIeHExYWxvj4+AtnTPR6PUVFRcTFxZmUps7OzpKZmcni4iKnT59eMzjq7u7m/v37HD169KmCjYWFBTo6OtBoNMTHxz934P0og4ODogKqnZ0dGo2G48ePr/v6srIyHBwcxIxLXl4earUaR0dH7O3tCQoKEhc1WlpamJ6efqJgzLNSVVWFWq1m165d5OXlYWlpyeDgoIny7nrf1dXVVZwoGhUpk5OTxYmqwWDg/PnzHD58WFw46O/vp7CwEE9PT/bv3/9Sv8vviomJCeRy+Zr9mq+Suro69Hq9yaKJIAjk5+djb2/P89yjDQYD1dXVjIyMoFQqWVpaor29nbfeesvkOpmYmCA3N9dESOl5GB4e5s6dO5w4cQKtVkt2djavvfYaarVa9JMNCAigvb1dFL7asmULP/jBDzh16tRjVY31ej3/9usLNEhDeDC1hIuNlOW5CU6mb+TMpkCk0rV/42ZmZsjKysLW1hZvb28GBgZW9SYLgkBRUZFYrt3Z2cnU1NRztTHMzs5ia2v7XGJY09PT3Lp1a13/xeHhYaqrq1leXn6s0rLBYKCkpASA7du3A1BcXIybm5t4LzJ+lrEf+sPGHBya+ajyuODwqa9qQRC+J5FI/gPYDLgAk8BdQRBmX84wzZgxYyQwMJDCwsKPVHCoUCiwtbVldHTUpMenu7sbjUZjUiZk9JDs718xHp+eniY+Pp6oqKh1AzhBEKioqGB8fJxjx44hl8vp6ekhPz+fwMDANftUDAYDpaWlbN++/bHBp1QqJS0tjfr6eiIjI5FIJC8cGALIZLI1BTHs7e05dOgQ586d49q1a3zmM58xWQGfnp4WTevXCgyHh4cZGBgQ/z81NcX09LRo6/Dee++xefNm0cvsRWhubiYhIQFvb2/KysooKiqipaUFGxsbbGxsyMjIEAMnrVZLb28vZ86cAVZKo2dnZ9cNzENCQrh48aKoUPqySE5O5ubNm2RlZSGTyUhPTxfVTx+XhX20100ikbBt2zYKCgrYsWMHc3NzDA0N4eXlZZJR9vPzY8+ePa9czfjD5HH9ra+SiIgILl++jL+/v7igUllZiUQieaZetIeRSqViUGlcCJqfn6e0tFQsd15aWiIvL2+VQvPzYLTSKSsrw9PTUwzAFAoFx48fp7GxkYqKCkJDQ1Gr1ezbtw+DwYBarX6iqbtMJiM9IYrkxUXi4pK5evUqe0/vfeLxcnBw4BOf+AQqlYqhoSEiIyNXiVZJJBJ27txJVVUVN27cQC6XP5d9k3Hxy9nZmQMHDjzzdeHk5ERwcDC1tbUmiwFzc3MUFxeLiwdVVVVMTk6uWlwzGAx0dnZy7949vL29TXrh4+PjuXLlCg0NDczNzXHv3r3fecm+GTMfN57pin4/ELz1isZixoyZ93F0dESn0zE/P//EycSHSUREBG1tbWJwODc3R0VFBYcPH14VHLi4uODi4kJ8fDyLi4vcvXuXzs5O0tPT18wElpSUoNFoyMjIEAOm4OBg/P39KSwspKioiO3bt5sEGY2Njbi7uz/VZM/Pz++lK3w+DldXV86cOcOPfvQj0VMTVgKsvLw8UTnwYTQajRggR0dHi/vU2Edn/H9oaCjFxcU0Njbi7++Pt7c3zs7OzywEND8/z+TkpCgitH37doKCgpicnGRubo6enh5+8pOf8PWvfx17e3va29sJDg4WexKrqqpITk5e93MtLS3x8PCgr6/PxHttLfR6vZiBfBISiYTdu3dz9+5dtm7dikQiITQ0lPr6eqamph6baX4UV1dXwsPDqa+vR6lU4uzsvKZS7+NEVMx8wNjY2GOvRxsbG7ZsWTFPX1pawt3dnZmZmTV/Q56EWq1GKpWaKN62trbi5uaGl5eXaKPi4+NDfn4+GzdufOHA0Eh8fDzXr1/nwYMHJgtEEomE2NhYgoKCqKqqYvfu3chkMu7fv8+2bdtoaWkxuRbm5uawtLQ0KXuMioriwoULjIyMkJiY+EyBvKOj42OvIYlEQkpKCo2NjVRWVj5zz7VerycvL4/09HTGx8fJzc1l//79WFhYoFaruX//PlKplIiIiMe2RSQmJnLx4kXCw8NxdHQUK1OSk5MJCQkBVvZNa2urSfC3tLTEtWvXcHFx4eDBg6sy3wqFgv7+fjZu3IhMJuOP//iPP3LK22bMfNR56rLS/wqYy0rNfJyorKzEzs7uuY3VXwV6vZ5z585x9uxZlpaWyMrKIi0t7akzWP39/ZSWlrJ161aTQK2zs5OWlhaOHDmyrsJnWVkZMzMzpKSkIJGsmEwXFBRw6tQpEw+0jxr9/f1897vfxc/Pj8nJSWZmZoiLi+PMmTNiX6RWq6Wjo4P79+8TFRVFbGzsEzNtgiAwOjrK0NAQQ0NDLCwssGvXLpNeyydRU1ODhYXFur6WxhLL5uZmvvWtb5GZmUlGRgZKpZKhoSGqq6s5duzYE79/S0vLE8sx79y5w/Dw8Av5BXZ3d9PR0cGBAweeextmnp+ZmRnOnz9PcHAw27dvX1PYSBAEmpqaiIyMZGFhgQcPHhAWFvbYa1ir1SKXy01+GwRB4PLly+h0OlEoy+h/aSyL/s1vfoNSqSQgIACdTseOHTvW3L5KpaKkpISMjIxnynDPzs7y53/+53znO995bHnu+Pg4+fn5HDt2jBs3brB3714cHR1ZXl7m0qVLuLu7r1IJbmxsRK1Wk5aW9tTjeVZ0Ot0TxacWFxextLQUF+wKCwtRKBRilreiooLp6WmUSiV9fX3ExcUhkUhobW1FKpWa/B4FBwebVGz09PTQ3NzMjh07yMrKIjU11SRw1ul0nD9/XvS1hZUFKQsLCxITE9ccb1lZGbOzs/T395OcnPw7r755FWWl5rJOMy+Dl1JWasaMmQ+XwMBAqqqqPlLBoUwmw9fXl6amJtra2khNTX2m0kY/Pz8yMjLIyspi//79uLi4MDc3R2VlJceOHVs3cyCRSNi6dSsNDQ1UVlaKj2/evPkjHRjCynf+xje+wdTUFJ6enri6ujI4OMidO3ews7NDLpczMjJCUFDQE3vmHkYikeDp6YmnpyeJiYmMjo6Sn59PXFzcU5WKGQwG2tvbH9vTI5VKeeONN/jFL37BX/7lX5KamiqWW1ZVVT1Vf5ivr69oZr7esert7WVychILCwtmZmaeuw8uKCiIurq6J2avzLwaBgYG2LhxI3K5nCtXrrB3795V2aPKykq6urqYmppi+/btooDK48jJycHe3l7sK4OVflZHR0eCg4O5ceMGhw8fprGxkYiICLHaIioqiuHhYUZGRh67iNHa2sr09DTt7e3PpKK5sLBAcnIyt2/f5sCBA2uKnszNzZGXlyd6esbExNDY2Mi2bdtoaGjA09OTkZERVCqVScbvadRaX5SnsW/KzMxEr9fj5OSEnZ0di4uLJoFsamoq9fX1SKVSzpw5IwZxUVFRTE1NoVKpgBXBoaKiIo4fPy5meoOCgmhtbeXy5cts27bNJDBUqVRotVr8/Pzo6ekhLCwMjUZDR0cHr7322ppj7ezsZGxsjKNHj6JSqV5ICMuMmf/OmINDM2Y+ori5uTEzM/M7VVpbi/DwcK5fv86ePXueWCq4Fvb29uzevZvc3FwOHz5MYWEhaWlp61pkPExsbOxTTSY/avj7+5vYHwQEBODv709fXx+CILBz584X7snz8PDgxIkTFBQUMD4+vmYf5szMDAqFAolEwo9+9CM8PDywsbF54rY//elP8+tf/xqVSsWVK1fw8PBALpc/Vd+mseSzvLyc5OTkVcd5YWGBu3fvcvjwYTo6Onjw4MFz+zga+9YqKys5cuTIc23DzPMzODhIbGwsXl5eeHh4kJ2dzb59+8SyyObmZkZHR3n99dfJysqit7cXJycnFhdXLJSNmaaHz1uVSsXS0hKCINDa2kpkZCSLi4vU1dVx4sQJbG1tRYuE5eVlsR8WVko/BwYGOHHixLp9cQaDge7ubjIyMsjJySEkJOSpPW/7+/tJSUkRM4ARERHExsaKwicajYbs7Gy2bNkiZtBCQ0Opra1lYmKClpYWTp06RX9/P9XV1Wv2L79KntS2MDU1ha2tLUePHmVycpKxsTFCQkJW/a486gdpxNnZ2aTEWxAECgsLycjIELeRnp7OzMwMPj4+4oJVW1sbOp0OvV5PbGwsra2thIWF0djYiKWlJefPn2fDhg3ivl5YWKCuro6+vj6xj9scGJox8/w8c3AokUj2AW8A7oIgHJVIJMmAvSAIBS99dGbM/DdGIpGIAcSzeHg9De3t7czOzj7WZmE9vLy8OHv27FNnuNbCw8OD1NRULl26RGBgIMHBwc+9rY8rEonkpQjKPIy1tTWHDh0iLy+P+vp6k3LR9vZ2qqurMRgM6PV6BgYGsLS0ZGhoCG9v78duVyqV8pnPfAZAtJJ4lnK3+Ph4mpubuXHjBnZ2dgQGBqJUKrG3t6e0tJSkpCTs7e0JCAjg7t27zx0cwkqmtr6+ngcPHrz0/WtmfQwGA2NjY2I/sre3N3v27CEvL48jR44wNTVFU1OTaEGya9cufvzjH+Pt7S32c6pUKqKjo0WlSVgJKKOioggKCiIzMxMXFxeampqIi4sTM1DBwcFIpVKkUqlJEKhQKPD29qazs9Nkmw8zMDCAu7s7Li4uhIWFUVdX99TCOP39/ezduxd7e3siIiJoaGjgwoUL4hi0Wi1JSUkm56FMJiM+Pp7vfe97HDx4ECsrK0JCQqivr2diYuJDEwoaGxsjMzOTXbt2rduT9+DBA/z9/ZFIJLi6ur7w2MLDw+nr66OhoUG8xhUKhVgSnJOTg52dHVu3bsXV1VUsxzWeW9nZ2YSHh3P06FE6Ojq4ePGimHmNiYlZV/3UjBkzz8YzXUUSieT/A/4I+A/AmNdfBH4AvFytcjNmzBAYGEhLS8uq4HB0dJTu7m4iIiKeSXwDVpQya2pqsLa2xtHR0WRiMDw8TG9vLyEhIY8ty3uRwNBIUFAQlpaW5vK/l4xEImHHjh1kZmbi5ua2YsY9OMi9e/c4efIk1tbWXLt2jQMHDpCUlER2djY7dux4avVWo9DQs2BpaUl8fDzx8fGMjIwwODjI+Pg4arUaZ2dnwsPDgRVxGLVa/cLZ8q1bt5KTk4OPj495svghMTY2hoODA3fv3iUiIgJXV1fc3d3ZtGkT//qv/4q3tzfHjh3DysoKjUZDWVkZXl5e2Nvbs2fPHiQSCWq1mmvXrhESEoKlpSV6vV5Ux5XL5ezevZucnBysra1NSkyBdasYEhMTTbb5KO3t7eL5t3HjRi5evMiGDRueWMmwuLiITqcTfwutrKzEHrfl5RWTwkeDVSNKpZKoqCgmJiYoLCxk69atojrnoUOHnrivXxRBECgpKWHXrl1UV1djZ2e35vX/4MGDdfs0n5f09HQuX76Ms7MzPj4+SCQS5ufnxcDv4coQNzc34uPjyc/P5yc/+QkKhYKTJ08ik8lITk4mJiaGgYEB0tPTnzrba8aMmSfzrHfNPwb2CILQK5FIvvn+Y62AWSfYjJlXgLe3N0VFRVRXVwMrfRsPHjzA1tYWPz8/cnJyOHLkyFOVZBrfX1BQQHp6Ok5OTly9elUs/enq6qK6upro6GgqKirQaDQkJia+0qyeWQHy1WBpacm+ffu4efMmW7dupbS0lEOHDmFjY4PBYGBubo5Dhw4hl8s5cOAA2dnZJqberxJjn+R6+Pn50d/f/0IKg05OTgQEBFBXV/dc2fGPO+Xl5fj5+X2o19fg4CBjY2MolUpu376NUqkkNDSUe/fu4eHhgZWVFTU1NczNzTE7O8vGjRs5ePAg2dnZDAwM4Ofnh0KhICwsjPr6ejZt2kRnZycBAQHixN/d3Z0tW7Zgb2//1GXYCoWCyMhIqqqqTFQvYaXsc2xsTLQ/kcvlJCQkUFVVJVpgrMfAwMCaJu4WFhZP9C29d+8e+/fvx83NjZKSElpbW4mLi+PevXuMjIy8kAfj09DS0oKTkxOhoaE4Oztz69YtDh06ZNLzuLi4yNLS0mMVR58HKysrdu/eTVVVFUVFRbi5uTE9Pc2mTZtEldKHiYyMZHBwkJKSEr74xS+aBNvW1tZmJVIzZl4BzxocKoH+9/9tlDmVA/+1HD7NmPmIIJVK2bt3r9jUL5FIiIqKEkVBlEol2dnZHDt2bM1V8c7OTiYmJggPD8fZ2ZnKykq8vb3FSc2OHTvIy8sjLCyM7u5ujhw5gp2dHTExMaKpsre390de9MXMahwdHUlNTSU3N5eMjAxx4jc8PIybm5s44XZycmLnzp3k5eVx4sSJ34lR9MP4+/vT0dHxwpO+pKQkLl26RFhY2Idu9P67ZHZ2ltbWVlQq1YcaHFZVVeHo6Chmmnp6ekTrGqOdiVQqRalUolAoxAAqKiqK1tZWUb344exdU1PTKt/KoKCgZx5bXFwcly5dWlW22dXVJZakGomIiOD+/fvMzs6iVCoZGRnB3d19VcA3MDCwZjDzJGZnZ9FqtWLFhDEYjouLIyYmho6OjlcaHD7crwkrfYHbt28nJyfH5Prv6+t7ZWXZ7u7uHD58mOXlZcbGxpDL5Y8tWd25cyexsbEmliVmzJh5dTyrAkIx8GePPPZVoPDlDMeMGTOP4unpSWRkJJGRkURERJiYcwcHBxMeHk5ubi4Gg8HkfZOTk1RXV6NQKLh9+zaXLl1iaGjIRGHS29ubqKgoRkZGOHr0qIk4gYODA5GRkTQ2Nr76L2nmlRAcHMynPvWpVfLxj06wvby82LBhAwUFBRjtjQYHB7l48SIDAwMf6ph9fHwYHh5edT4/K3K5nJSUFEpLS1/SyD4e3Lt3j7S0NFQqFfPz8y9tu5OTk7S2trKW/dXk5CSNjY0cPXoUiUSCRCIhODiY/fv3iz2I/v7++Pr64uDgYBJo+fr6MjExIYrSGLN3OTk5WFpavpTMlYWFBVu2bKGkpMRk/G1tbWJJqRGjT+G9e/fIz8+nvLycd999l5KSEgYGBrh//z7Z2dkMDQ09dSn2wzxcxgorpZPj4+MIgoCfn98rv94qKipM+jVh5ZoLCwujvLxcfOzD6Nm1sLDAy8vrib2MFhYW5vYDM2Y+RJ41OPz/gJMSiaQXUEokkjbgdeBrL3tgZsyYeTri4uJwcXHh1q1b6HQ6YMWPsKCggB07dhATE8PJkyfZtWuXicG8kZiYGA4dOrRmxigmJob29na0WnNxwMeVh3v3BEFYNyMQGxuLXC6nsrKSoqIiKisrSUxM5M6dO+LE/cPAOBEcGRl54W0FBwdja2vL5cuX6evrewmj+2gzNzfH8PAw4eHhhIeH09bW9kzvX15eZmhoiN7eXjQaDbDyW1JZWUleXh59fX3cvHmTpaUl8T3z8/NcunSJrVu3Plb5cj2kUilhYWG0t7eLj0VERCAIwku18fH19UWhUNDa2gqsiN8IgrBmKXVAQADXrl1DLpdz4sQJXn/9dezt7Tl37hxarZb4+HjefPPNJ/a53b17l6mpKfH/giDQ2dlpkhW3sLDA0dGRqakprKyssLOzM3nPy2RoaIipqak1rW42btzIxMQEg4ODYkbvVZe3mjFj5qPJM5WVCoIwLJFINgGbgABWSkwrBUF4sSVeM2bMvBBpaWnU1dVx/fp1Dh48SE1NDYGBgSYr28/TT2ZpaUl4eDiNjY3rmg6b+fgwMjKCs7PzuqWj27dv59atW/j7+7N9+3akUilLS0vcvn2bgwcPfmjjDAgI4MGDB09UUX0adu7cydjYGNXV1dTW1rJ///7/suVpdXV1xMXFIZVKiYiI4Nq1ayQkJKzrH2pkbGyMyspKVCoV7u7uWFpaUl5ejlwuR6/XExgYyOnTp5HJZDQ3N3PlyhXi4uJ48OABMzMzWFtbP7XC51pERERw8+ZN0RJBIpFw8uTJF7Z3eZQtW7Zw/fp1JBIJi4uLq/qpDQYDfX19VFdXk5qaip2dHRKJBJlMRn9/P15eXri4uDxV0NTZ2Ul/fz8jIyMcP34cqVTK8PAwjo6Oq84/Ly8vhoeHcXFxERWqX3b/r16v586dO+zZs2fN/SqVSsU2g02bNuHl5fXS978ZM2Y+HjzzlS+sUCkIwgVBEMrNgaEZMx8N4uPjiY6O5vLly0xMTJCUlPRSthsTE0Nra6s5e/hfgLVKSh9GLpdz5MgRMcCAlZ4wiURCc3PzhzVMAgIC6OnpETPhL4q7uzsZGRkEBweL4k7/1VCr1QwODhIRsaIPZ2dnh6OjI4ODg499n0ajoaCggISEBD75yU+yf/9+du7cyRtvvMH+/fs5ePAgqampJubme/bsYWpqio0bN3L27FmsrKxeqL/R2Ic4PDwsPvYqAhNbW1uOHTtGa2sr+fn5BAYGitlSY/loV1cX27Zt49ixY7S3t6PT6aiqqsLOzo5du3Y91XWwuLhIZWUlGRkZODs7c//+fWDtMlb4IDiEDwSZXjZVVVUEBwc/toTTxcWF4OBgbt++bbaBMWPmvzHPamXxV+s8pQEGgGxBEEZfeFRmzJh5LsLDw7G3t0ehULy0yZVREa65udnEN8/MxwujLcDzZIB37NjB5cuX8fb2NlE0fFVYW1sTEhJCY2MjCQkJa77GKKyxcePGp84ExsTEcOnSJSYnJ/9LmWTPz89TUlJCTEyMSdl4ZGQkra2ta6pqGrlz5w5RUVFrBncP9zc/zPLyMgsLC5SVlbG4uIiXlxc2NjYv9B0iIyNpaWl5rj6+Z8Ha2pqdO3eKpbJLS0t4eHjg6+vL6dOnTcqwg4KCKCgoYH5+XvRnXFxcRKVSPfY6KC0tJT4+HoVCQVpaGpcvX8bHx4ehoaFVFhywsnhRWLgi3eDi4vJS7FweZnR0lIGBAU6dOvXE1yYmJjIzMyMKBJkxY+a/H886ewwHvgnsAkLf//ubQALwFtAtkUg+vNojM2bMrMLT0/OprS2eltjYWFpaWl7qNj9u6PX63/UQHsuTBFxu375NRETEcynPWltbs3XrVm7fvr2mIMmrYOPGjbS0tIi9bw8zOzvLtWvXMBgMZGZmMjQ09FTblEqlpKSkmAhvfJwxBmhXr17Fx8dnVS+Zv78/Y2NjJj2CD9PW1oZWqzXxlnscWq2WO3fuUFpaSlRUFIcPH+bTn/40e/fufeL7rl+/zsTExLqvCQwMZGRkRDzeJSUlJpnEl8ng4CDHjh1j7969fPKTn2Tfvn1s2LBhVTAWGxvL9PQ0+/btM8mcPvpb2NbWRmtrK4ODg7S2trK4uMiGDRuAlZ7fzZs3k5WVRWBg4Jo2FzKZDKVSyfT0NLAiEDMwMPDCokywco4UFxezffv2J1pswEoP5N69e19aYGrGjJmPH88aHEqBNwRBSBcE4ROCIKSzIkizLAhCGvAHwN+97EGaMWPmd4uNjQ0KheKxk7v/Cmg0GoqKiqivr2d8fBydTkdHRwfXr1/nl7/8JbOzs7/rIa7JyMgI77zzzrpBQENDAzqd7oX6Rv39/VEqlR+aeq21tTWRkZHU19ebPD4+Pk5WVhabN29m69atHDx4kNLSUqqrqxkbG3uieE5AQIAozPMqGRgYeGUlrIIgiL1/CoWCM2fOEBsbu6paQCqVEhsby9WrV+ns7DQJ7FUqFbW1tezcuXPdnsT5+Xna29upqamhqKiIS5cuoVQqOXnyJL6+vk+dLSwvL0ehUJCbm7uu2IpUKiUkJIT29nZUKhW9vb2UlZW9ksWI3t5egoODcXR0fGw/pkKh4I033jDJoIaGhtLT0yMuFpWVldHd3c3c3BxtbW10dXWxfft2k+0GBAQQFRW1phCMkYdLS/39/cnMzOTOnTsv9D1bW1u5cuUKGzduFFVjzZgxY+ZJPKvP4QHgzUceuw786v1//xr44YsOyowZMx89AgMD6e3tfaLs+MeZ8vJyrKysEASBqqoqpqam8Pf3Z9OmTUxPT1NXV7eqLKyjo4PAwMAnKhe+ShobG3FxcaG4uJj9+/ebPDcyMkJLSwvHjx9/ojDJk9iyZQuXL18mICAAe3v7F9rW0xAbG8uFCxfEcsn6+nq6urrYu3cvbm5uwIpP44kTJ7h37x737t1jbm4OjUbD8ePH182gp6WlUVhYiK+v70vvbRMEgdraWnp6erC2tqaxsZGYmJiXtv3p6WmKi4tRKBScPHnyiQFabGwsvr6+1NTUiOfv0tISpaWlbN++fVVJrsFgoLe3l7a2NmZmZggMDMTe3h53d3dSUlKeWcxncHCQiYkJTpw4wdjYGLdu3eLgwYNrWlRs2LCB7OxspqamSE5OZmhoiPb2drGP8mWg0WiYmZkRz59nxdLSEn9/fzo7O1GpVMzOznLgwIEnnkcPWwithZeXF62trURFRbGwsMDQ0JDYf9jR0cHw8DBKpRKlUklAQMAqMZ2HUavVFBYWYmVlxfHjx59LRdaMGTP/fXnW4LCLlfLRHz302O+//ziAK7DwEsZlxoyZjxiBgYHcunWL5OTkD/VzVSoVVlZWL9zT9CQGBgaYmpoSlQUf7a90c3Ojrq6Oubk5MZMwMDDA7du3UavV6/bGwUrPj729/Sv5DgsLC4yPj3P27FlycnJoaWkRS9oGBga4c+cOBw4ceCllYtbW1qSmplJcXMzhw4cfG2zOz88zPz//Qv5kcrmc2NhYbt26xeLiIpGRkZw+fXqV2qrR09BIQ0MDDQ0NbN68ec3turq64unpSU1NzQupbD6KRqMhPz8fGxsbTpw4wfLyMleuXBE/70VpbW2lrq6OLVu24O/v/9Tvc3JyYu/evQwPD/P2228THBzM4cOHcXBwMHmdVqslNzcXS0tLNm7ciJeX1wstKOh0OkpKSti7dy9SqRRPT0927tzJrVu3VvmqAtjb2yOXy2lsbGTbtm34+vpy7do1goODX9riS19fH/7+/i/0vaKiosjMzMTT05P9+/e/lAUGT09PiouLmZ2dpb6+ns2bNyOTyfiXf/kXfu/3fo/t27czPz/P3Nwc1dXVqFSqNSsB+vv7KSkpISUlhZCQkBcelxkzZv778ay/aF8A/odEIumXSCTlEolkAPgG8P97//kI4H+9jIFJJJKDEomkTSKRdEokkj9b43kriURy7v3nKyQSSeDL+FwzZsysjVKpRCKRfKillYIgkJeXx7Vr11hYeHXrTsZJ7I4dO9ad6EmlUuLi4sQyR+N7Dh8+vG5v3NDQEFevXuXu3btkZmau6qFaWlp64V7G1tZWIiIiRCn6uro6RkZGKCwspKqqiv37979UWfzg4GBsbGy4c+cOy8vLa75Gq9Vy48YNysvLOX/+PPX19euWvD6JqKgowsPDOX36NImJievacDxMZGQkPT09ax4TI5s3b6a/v5/e3t7nGtejaDQasrKy8Pf3Z9euXchkMqysrNizZw9FRUUvdP7q9XqKioro6uri+PHjzxQYGtHpdNy7d4/AwEBsbGxWic0sLCxw/fp1fH192bdvH97e3i+caa6qqiIkJMRE/MfLy4ukpCQKCwvXLBm1sLBAKpViYWGBQqEgJCRkVWnxi/Akxd6nwdnZmW3btrFv376n6uN7GmQyGba2tmRnZ5OWlkZsbCy2trZs2bIFhUKBTCbDwcEBX19fjhw5wtjYGHfu3Pn/t/ff8VFlZ4L//zmVVCWplAMSAokgJILIOTfBQAeazu3U9nhtZsb2hJ2fZ8beWXvb9sysZ9a76zD7mxlmbI/TdLfd7gAdaDINDU0OIkggQBLKWaqgyuf7R5XKEkgggYQEPO/XSy9V3bp169Spqnvvc885z4mOS+zq7dCVJVUCQyHEnRpQcKi1PgnkA58C/m/kf35kOVrrD7XW/3a3hVJKGYH/B2wApgCfVErd2Fn/vwCtWuuJkbL8w92+rhDi1rq6lt4rFRUV2O12Zs+ezbvvvjtkk7EfOXKE/Pz82wZRBQUFXL9+HafTGX1OVlbWTWPjgsEgO3fu5Pjx48ydO5dNmzaxdu1aDhw4wOnTpykvL2fHjh385je/4aOPPrrpdZxOZ78mwg6FQpSWllJYWAiEx4YuXbqU999/n7S0NDZt2jQkWTkfeeQRrFYrb7/9dq8XC/bt20d+fj4bN25kw4YN+Hw+3n333TsKhI1GI1OnTh1Qy6fZbGbSpEm3nHbAZDKxZs0aDh8+THt7+4DL1Z3P5+P999+noKDgpi6kaWlpzJ49m127dvU7wUhtbS1bt27l9ddf5/XXX+e1114jPj6eRx999I5anzs7O9m2bRvZ2dl85jOfISMjI5qUx+fzUV5ezrZt2ygqKorONXi33G43lZWVvbao5+fnExsbG53ioYvP54u2zLtcLiA8Rc+lS5ei9+9GIBCgsbFxUDKi5ufnR5PUDJacnByysrIYN24ckyZNYu3ataxcuZIjR470+O6YTCY+8YlPEAqFOHToEIFAgJ07d+JwOHjyySdvahEWQoiBuJO+EClAEhBLOGPpZ5VSXxjMQgHzgTKt9VWttQ94FXjyhnWeBH4euf06sFrd7WVOIcQt3evg8OTJk8yePZuJEycyc+ZM3n333UFvQWxoaKCuru6W3UK7GI1GioqK2Lt3b4/nFBUVUVZWhtvtJhQKsWvXLux2Oxs3boxO5J6amsqmTZtoa2vjypUrTJkyhU9/+tM0NDTQ3NwcfQ2tNbt372b79u23bW2rrKwkPT29xziwMWPG8LnPfY6ioqK7bvnpS1fWzzlz5vDuu+9y5syZ6Ody+vRplFLRbrl2u5158+aRm5t71wk2BmLq1KlcvHixz4C0o6OD+Ph4li5dys6dO+94Hs+uwHDChAlMnTq113UmTZpESkrKbbOker1ePvzwQw4dOsSCBQt4/PHHefzxx3nuueeYO3fuHX2eXZldp02bFv1MFi1aRFNTE6+//jq/+93vKC8vZ8WKFeTn5w94+325cuUKEyZM6LNlbenSpZSUlESTXIVCIc6ePcvEiROZNm1aNCNoQ0MD1dXV/PznP+91OwNx7do1Ro8ePWInd58zZw7Lli3rsSwlJYVRo0axd+9eysvLo63hBoOBpUuXcuXKFd5++22Sk5NZtWrVoAesQoiHz0DnOdxEOOnMZWAqcB6YBhwEfjqI5RoNdJ8FtgpY0Nc6WuuAUqodSAV6pFNUSm0GNgO88847g1hEIR4+qampuN1uOjs7h3wMYGVlJTabLZo4Ij8/H6UUb731FhMnTmT69Ol3NC3DjT7++GMWLVrU7xPGwsJCLly4wCOPPBJ9TtfYuBMnTuDxeLDb7SxcuPCm51osFlauXNlj2YIFCzh8+DCPP/44EE4uY7fbmTBhQq8JZvx+f3T8VV9zT96rk9/c3FzS0tK4ePEib7/9NomJibhcLjZt2nTTunPmzOH999/n/PnzfQZRg8lmszF27FguXbrUI0tkIBDgxIkTXLhwgenTpzNnzhza29t54403eozlCwaDVFRUEB8f3+e4yZaWFnbt2sWUKVNum3Rm8eLFbNu2jbKyMiZOnNjjsWAwSHFxMfv27WPlypUsXbr0rj7Dw4cPM2bMGLKzs9mxYwcLFy7s0RXVYDCwYcMGOjs7hyyx0OXLl1m1alWfj1ssFlasWMHu3btJSEigubmZtLQ0VqxYAcCbb76Jw+Ggvb2dl156iR/+8Ifs2rXrttNm9EVrzenTp+/4+fdCX8H/4sWLuXr1KuXl5Rw+fBij0Ridz7aqqoqioqJBHTv7oPF4PINyrOivLVu2sGXLFgA2/9evA0N7rBRisA30EtPfAn+gtf6tUqpVaz1LKfUHhAPFEUlrvQXYAnD06NF7M0GXEA+w3NxcKioqmDBhAleuXKGlpYXFixcP+uucPHnypoQiEydOJDc3l3PnzvHGG28wf/78m060B+Lq1atYLJZeJwDvi8lk4vnnn79p+ZQpU3j11VfJzc0dUH2MHTuW4uJiKioqSE5O5ty5czz11FNYrVaqqqooKSmhsLCQjo6OaMKKYDBIbGwsWutoy+RwiYuLY+7cucyZM4eamhoSExN7TR6ilGL16tW89dZbpKamDkqCltuZPn0677//frRl1efzcfr0afLy8njhhRd4++23yc/PZ9q0aYwePZoPP/yQnTt3kpSUhMfjYfTo0TQ1NTFq1Cjmz5/fY7xj1xQPK1as6NdnYDAYWLNmDdu2bSMlJSXahfnixYscPnyYmpoaMjMzGTNmzF0FhjU1NVRUVFBdXU1eXh5ZWVm9jlE0m829fk4tLS1YLJa7miu1ra0N4JYTxUM4CcuyZcswmUykpaX1eN+TJk2KTlivlOKzn/0sb731FgkJCdHkQy6XC6PR2K8T/2vXrpGUlNRrltSRzmQyMWnSJCZNmgSEgx2Hw4HD4eDZZ5+9Z9PL3I8aGhrYs2cPTz/9dL/GKw+GzZs3s3nzZgB+8uZO4M56JQgxXAYaHI7VWv/2hmU/B+qArw1OkQCoBsZ0u58TWdbbOlVKKROQCDQjhBhSeXl57N69mxMnTpCXl0dzc3M0A2B3HR0dVFVVUVNTQ2NjI9nZ2RQUFPQZFOzevRuXy0V2djYxMTFYLJZe5+Yym83MmjWLwsLCaGtV97T0oVAIh8MRvW+z2Xo9KQgGg9GELYPBaDTyzDPP3FFW0IULF7J7925iY2NZsGBB9GR3xYoVvPXWW3R0dHD16lUWLFjAuHHj0FrT2dk5aMkwBoNS6rZBdkxMDKtWrWLfvn0888wzPYKBmpoaTpw4werVqwc8XUJfEhISKCoqoqqqKlrGVatWRadjmTdvHocOHYpOrVBYWMgHH3xAe3s7Tz75JBMmTCAUCnHs2DG++93vkpiYSGZmJkopkpKSePLJJwdU1ri4OFasWMF7771HVlYWLpeL2tpaLBYLL730Em63m5KSEpYsWXJH77drDNqqVas4ePAgBw8e5Ctf+cptn9fa2sqJEyeor6/HbrfT2dnJ008/fccZQntrHe1LX4H1jVmRCwsLGT9+PFeuXCEuLo709HS2b99Ofn5+n1lpu3RNL/LII4/07w2McFarFavVGt3vlZaW0tjYeMfTczyoGhsb2b17N2vXrr1ngaEQD4KBBocNSqlMrXU9UK6UWkS4G+dgn6EcA/KVUuMIB4EvEk5+091W4HPAYeBZYI8eitlyhRA9dKWjz8rKwmg0Ul9fz+HDh3sEh21tbbz33ntMnDiRwsJCli5dSlVVFSdOnMDtdrNhw4YeLRMNDQ20t7ezcuVKampqqKuru+2UGTabjVWrVrF79242bdqE1WrF5XKxa9cutNbRwMnhcESDye7dts6fP8/o0aMHtSXhTrsudbWkeb3eHvOX2Ww2li9fTkVFRY8r30qpQQug7rX09HTS09Ojc7pBOFD/6KOPGDduHNu2bWPdunW3bXXqr1tNPD5x4kRKSkqoqKjAbDZz+vRpvvjFLxIMBnn33XejLWiVlZWsXbs2Okfe7NmzGTdu3B2NAczKyuKFF16guLiYI0eOMGvWLJYuXYrdbsfv93PixAkWLFhAS0vLgKcBOXfuHJmZmaSlpeF2u7FYLLe9gBAKhdi9ezczZ85k5cqVmEwmjh8/zrFjx+64R0BZWRkbN268o+f2RSnF/PnzKS4uZvfu3djtdtasWcPBgwdvGxx2JbYaiuRMI0FhYSElJSUSHHbT1NTErl27WLt27X0/N2/59x4b7iKIh8xAg8N/A5YCvyOcIXQvEAL+92AWKjKG8KvAB4QDz59qrc8rpb4DHNdabwV+AvxSKVUGtBAOIIUQQ0wpRU5OTvR+ZmYmZrOZqqoqcnJy0Fqzf/9+li5d2iNgnDhxYvRk/OOPP+4x9qcr8UxXd7v+ThqekZHBjBkz2L17N9OnT+fgwYPMmzevR6uF2+3mo48+oqysjJkzZ0a7ZJWUlPDUU08NQo0MjqVLl/a6fPTo0QPq9no/mDdvHm+//TYTJ07EYrFQXFxMVlYWc+fOJSsri/fff59Vq1b12nLcG5/Px1tvvcXMmTOjXe/6a8mSJWzfvh2ADRs2RIPuRx99lPfeew+tNcuXL49+Bi0tLRw/fpxDhw4B4eBq4sSJAwqk/H4/ly5d4g//8A97BCxms5kxY8Zw+PBhLl68yMaNG/vd/dblcnH+/Hmeeuopzp07x5gx4c43paWl0Xkve3Pq1CmysrJ6/GZmzZrFm2++SV1d3W1f/9y5c1y4cIGlS5eSnZ0dbX0ciosX48aN4/Tp0wDEx8czZswY7Hb7bVvNTp48eVOilwfJ+PHjOXbsWI/xyA+zrmzRq1evvu8DQyGGw0CDw/+ltQ4BaK1/oZTaB8RprS8OdsG01u8B792w7FvdbnuA5wb7dYUQAzdnzhyOHDlCTk5ONKFKX3OxFRQUUFpaGg0mm5qacLlc5OXl3dFrT548mYaGBj7++GM2bNhwU4tTbGwsa9eupby8nEuXLhEXF4fdbmfdunVDnlRnIEZqBsWhEBcXR0FBAadOnYpmFX366aeBcDC8du1adu7cyRNPPNGvsW/FxcVkZ2dTWlpKXV0dS5Ys6XeX2+TkZGbMmEFKSkqP705CQgJPPPEEBoOhx/ckJSWlR1fkYDDIa6+9xrx58/p1Yu5wONizZw9z5szptSVrwoQJ/PCHP+RTn/oUp0+fZv369Vy/fp2cnJybWiqDwSANDQ3U1NRw9epVZs2ahclk4ty5czz99NMEAgG2bdvW57QLLS0tlJWVReu+i9FoZPny5ezfv5+nn36617r0+Xx8+OGHBAIBli1bxoEDB5g0aRJOp3NQs57eaO3atZjNZvbt20dJSQnjx4/n3LlzmEwmLBYL8+bNi/6WQqEQr732GhUVFTclgnqQmEwmcnNzuXr1KgUFBcNdnAHr6OigpqaGmpoarFbrXY9hv3r1KtnZ2QNueRdChPU7OIzMPehUSiVprb0AWuvKISuZEOK+MWrUKIxGIyUlJdGEKn1RSrF06VJ2797NM888E201vBvLly9Ha33LACsvL++OA1Ax+GbMmMFvf/tbGhoamDNnTo+xmmlpacybN499+/bx2GOP3bL7psfjobS0lGeffTbaJfKtt96ioKCA7OxskpOTaWxspLS0lPLycmJiYsjKymL06NHk5eVhMBj67HoaFxd307L29nYOHDiAwWBg/fr1GI1Gxo4dy7Vr1/pstdRac+XKFUpKSnC73RQVFfUZQJWXl5OamkpeXh6XL1/m/fffp6amhjVr1pCbmxtdr7W1lR07dpCcnEx2djarV68mJSWFCxcukJubG+3inJeXF+2q2l0oFGL//v0sWbKk16A2IyODMWPGcOrUqZu6eHu9Xt5++20mTZrEjBkzUEqxadMmPvzwQyorK6MJY4ZC18WCZcuW8dZbb5Gens62bdv4oz/6I9ra2ti2bRurV6+mtbWVLVu2kJyczMaNG9mzZw9JSUnRHgoPmilTpvDee+9RVlZGdnY2ubm5I/59+v1+PvzwQ1pbWxkzZgz5+flcuHCBs2fPMn369Dve7oULF4YkSZoQD4t+B4da66BS6hLh6SJqhq5IQoj70ezZs3nnnXdYs2bNbcfepaamkpOTw/79++no6LjroE0pNWRz+omhYTKZmDt3LqWlpb0GShMnTqSyspIzZ870mK4jFAr1uAhw+vRppkyZEh2POX/+fPLy8qisrOTgwYO0traSmprKpEmTWLRoEX6/n9raWq5cuUJZWRlr1qzp86JCIBCIzpOotaakpITS0lIWLFhAdXU1Bw4cYMWKFUyaNImjR48yadKkm8oHUFJSwpUrV5g3b94tu8rW1dVRW1vLhg0bOH/+PA6Hg+rqap577jlOnToVDQ7r6urYu3fvTZlSQ6EQxcXFbNiwIbps/vz5bN26lWvXrjFu3Ljoezl8+DApKSk9uojfaObMmbz55pvMmTOnx+/r2rVr5OTk9PhcLBYLa9asoaOj454k/4iNjWXJkiU4nU4eeeQRMjIymDJlCleuXOGf//mfqa2t5fHHH49OpzF58mSuXLnCvn37UEpRUFAQ7db8IEhJSeHTn/40zc3NVFdXs3PnTubMmdNnYqBQKERFRUX0O3GvtbS0sHv3bvLz81m1alX0+5WZmclbb71FWlraHWVibm5uJhQKyfhLIe7CQLuV/hp4Ryn1Q8JzD0YTwGit9wxmwYQQ95fs7GweffTRW55sdjd37lxee+01Fi1aJIHdQyo/P/+WXRCXLl3Km2++SUZGBg6Hg9LSUlpbWykqKmLmzJl0dnZy7do1nnuu5wiDjIyMaJcyrXWP75fJZGL8+PGMHz+ejz76iN27d7N69WoMBgOdnZ2cPXuW2tpaXC4XSqkewcOoUaOiiYFyc3PZsWNHtOW7qqqKV155BbPZzKZNm6LdOD0eD6dOneLJJ5/stSWyi8PhYP/+/axatYqEhAR+9atfUVRUxNWrV0lKSsLr9dLS0kJrayvHjh1j3bp1N7UMlZeXk5aW1mPuQqPRyNq1a9m2bRvJycnY7Xb27t2LwWC4bVdLq9VKYmIiDQ0NPYLaa9euMWvWrF6fM1TzJvamK1jWWnPt2jXS0tKIi4sjLS2NT33qUz3G6iqlouOeW1paKC0t5Y033mDt2rUPTKIapRRpaWmkpaWRn5/P9u3bcblczJgxo8d6fr+fnTt3UldXR2pq6pB9Zm63m/b2dux2O3Fxcfh8Pmpra6mpqaGyspLly5ffFAB2XWT44IMP2LhxI0ajEYfDgdFo7FdL6IULF+7JPKpCPMjUQBJ8KqWu9fGQ1lqP7+OxEePo0aN6KLu7CCEG5l5PTizuP/X19ezevZuxY8dSWFhIQkICR48epa6uLpqU5G5OBg8ePIjH4yEhIYGysjKmTp3KuHHjiI+Pv+040K4xfcFgkNraWgoKCkhLS6O1tZXVq1cD8OGHH5KUlHTLbnIVFRUcOnSIRYsWRVvROzs7sdlsnD17Frfbjd/v5+DBg0yfPp0VK1b0OhbzjTfeYPny5b0m4aiqquLw4cPYbDbS0tJYsGBBvy7KXLx4kfb2dhYuXAiEu5T+7ne/45Of/OSIuajjdDp57733ePzxx9m6dStr1qzpVyKS+vp69uzZ0yPh0I28Xu8dTU8zEvh8Pnbu3ElcXByTJk0iMzMTr9fL9u3bmTBhAsFgEIPB0KMFeLB0dHTw3nvvkZKSgsvlis5JmZWVRXZ2NmPHjr3lvv/KlSt89NFH2Gw27HY7ra2trFmzpkeLYCAQoLS0lEmTJmE2m/H5fLz++us8//zzvY6xHQ4/eXMn3z1yd/McSrZSMRR27959YvXq1b2mhR/Qr0drPTz9D4QQDyQJDMXtZGZm8qlP9ZzJaOnSpdTV1XHhwgUKCwvvavtLlizhxIkTGAwGnnvuuQFlezSZTGzYsAGHw0FsbCzbtm1jzZo17Nixg+LiYjIzM2loaOgzE63WmmPHjlFVVcVjjz3WowWnKwnO5MmTeeWVV0hISCAhIYHVq1f3+ruprq4mJiamz6AoJyeHqVOnorUeUDCdl5fH22+/HQ0OKyoqyM3NHTGBIYTHIVosFt555x1mz57d7wyVmZmZbNiwgQ8++ICCgoJowO31eqmtraW+vp5gMMiLL754X3Y/tVgsbNiwgZKSEs6fP8/evXvRWrNgwQLy8/Npa2tj7969gx4cOp1O3n//fRYvXtxnYrLbmTBhAhMmTIje75rM/sknn8RqtRIIBPjggw8wGAwUFxezePFiOjo6GD9+/IgJDIW4Xw34F6SUWkt42ogMrfUTSqk5QKJ0KxVCCHGvjBo1qt/TPNyKUuq2c2reSteE5BDuUllfX8+cOXP45S9/icvlis7xmZKSclNr37Fjx2hra2Pjxo19ntCazeZocHLixAkuXrzYa5fOM2fO3NR98Ea3mvOxLzabjfj4+Oh0EVevXr2rZCFDpbCwkLa2tgFPZZKUlMQTTzzBuXPnaGpqAsJBf2FhIStXruT48eOUlpZSVFQ0FMUecl0Jl6ZMmYLWGp/PF20JTUpKIhAI4HQ6+5UVuDuv14vFYrnpIkFXK+7ChQvvODDsTUZGBkVFRezevZt169axc+dOMjIymDdvHq2trRw4cICmpiaeffbZQXtNIR5WA8qdrpT6E+CfgcvA8shiD/C3g1wuIYQQ4r5SWFjI+++/z0cffURRURHTp08nMTGRa9eusW3bNi5e/P2sTxcvXqSuro7Vq1fftqWjq9Vq8uTJlJSUEAwGezze3NyMx+Pp93jfgRo3bhzXrl3D5/PR0tJCVlbWkLzO3SgsLIy2bg5UbGws8+fPZ+HChSxcuJC5c+eSk5ODyWRi2rRpXLhwgYEMwRluTU1N7NmzJ5pMqYtS6qYusuPHj+fq1asD2n5nZyevv/46R44c6bG8qzVv7ty5PTLrDpYpU6YQFxfHa6+9RkpKCvPmzQPC09E88cQTbNy48Z6OeRXiQTXQlsM/B1ZrrcuVUn8dWVYC3H8T6wghhBCDaPz48YwdO7bXYK+zs5M9e/ZQV1dHXl4excXF0YQb/RUbG8vYsWMpLi7u0RXwzJkzQ9qaN27cOLZt20ZKSgpjxowZUV1Kh1p8fDwpKSlUVFTcF1PhOBwOdu3aRXZ2Ntu3b2f9+vW3vPgwbtw4Dhw40O/vTygUYvfu3cycOZPLly9z9epVxo8Pp5z48MMPyc3Njd4fCkuXLqW8vPymLKxdyXiEEHdvoLMu24Hrkdtdl9HMwN2NthVCCCEeAH2diNtsNh599FESEhL46KOPWL9+/R2NuZ07dy4XL17E6XQC4WCgoaFhSE/IY2NjsdlsnDx5ctimPhhORUVFnDt3briLcVter5cPPviAhQsXsnz5ckaNGsUHH3xwUwsihJOBvfPOOxQXF1NRUUFtbS1NTU1cu3aNkpISQqFQr69x9OhREhISmDp1KmvWrOHIkSO0trZy7tw5vF4vc+bMGdL3aDKZ+pyeQwgxOAbacvgh8HXg77ot+1Ng76CVSAghhHgAKaWYM2cOs2fPvuPWt5iYGGbPns3hw4dZu3YtxcXFFBUV3Taz6t0aP348J06cuKO55+53o0aNwufz0dzcPGKnvQiFQuzcuZPCwsJoC+fcuXM5duwYO3fuZN26dT2+I4cPHyY7O5vk5GQuX77Mb37zGyZNmoTdbsfhcOB2u5k9ezYtLS0kJSVhMBi4evUqtbW1bNy4EQi3qq5YsYK3334bi8XCM88881C1Kt8JyTwq7gcDDQ7/BNimlPoSYFdKlQIO4PFBL5kQQgjxALrbE+hJkyZRUlJCWVkZ5eXlPP/884NUsr5NnDgRm8025EHoSFVUVERxcfFt54YcLmfOnCEhIYFp06b1WD5v3jwOHjzIwYMHWb48nCqisrKS9vZ2Vq5ciVKKTZs2cejQoWgA6fP5+MlPfkJpaSlKKZKTkykqKuLo0aM8/vjjPbpCdyUrmj59+n075YcQoqcB7eW11rXAPOAF4FPA54D5Wuu6ISibEEIIIW6glGLp0qXs27ePgoKCe5K632q19pha4GEzfvx4GhoaqK6uHu6i3MThcHDx4kUWLFjQ6+OLFy/G7XZz6tQpfD4fhw4dYsWKFdGLFGlpadhsNl555RX+8z//k61bt2I2m+ns7OSFF17AarXyv//3/2bJkiU9spp6PB62b9/Os88+S2trKx0dHffk/QohhtaAjihKqR8Av9ZaHwGO3GZ1IYQQQgyB1NRUVq1a1efk7WJwGY1GPvGJT/D++++zbt06UlJShrtIUYcPH2bu3Ll9ttwZDAbWrFnDtm3bKC8vp6CggOTk5B7rrF27FghnHPV4PMTHx7N3715OnDhBQ0MDjz32GB9//DEul4vRo0cTGxvLjh07KCoqYty4cQQCAY4cORLdjhDi/jXQ/iEKeFspdVkp9W2llGQpFUIIIYbB+PHjpSvfPZSUlMTKlSvZsWMHbrd7uIsDhLuIejye287vaDKZWLduHRkZGbecD9NkMkVbBxcvXkxJSQlTp05l1apVLF++nLa2Nnbu3MmvfvUrRo0axeTJk4Fwt2On00ltbe3gvTkhxLAYUMuh1vrPlFL/FVgNfBL4WCl1lXBr4v8ZigIKIYQQQowEWVlZzJ07l+3bt7Np06ZhHYMZCASiiYn6IzY2liVLlvR7+zExMXzyk5+MjjHMzMwkMzMz+trduzMrpVi0aBGHDx9m06ZNkphG3FNaa1paWvrMsvswMxgMpKSkDOg3OeCBClrrELAT2KmU+ibwM+B/ARIcCiGEEOKBNnHiRKqrqykpKWHKlCnDUoZQKMSePXuYMGHCkHZx7Wsezt7GuY4aNYq4uDiuXr36UI9PFfdeS0sLcXFxdzQ90IPO4/HQ0tIyoEzLA77kpZSKU0p9Rin1LnAJCBBOTCOEEEII8cCbM2cOZ86c6XUOwaHWNRF9XFwcc+fOveevfytz5szh9OnTw10M8ZAJhUISGPbBarUOuEV1QMGhUuq3QD2wGXgHyNVaP6q1/tWAXlUIIYQQ4j4VHx9Pbm4uFy5cuKevGwqF2Lt3L1ardUBdRO+V1NRUbDYbVVVVw10UIcQdGmjL4TFgitZ6udb6n7XWTQBKqYdz4iMhhBBCPJRmzZrFuXPn8Pl89+w1S0tL0VqzdOnSe/aaAzVz5kzOnDkz3MUQQtyhgSak+cfu95VSRYS7lH4KyB7EcgkhhBBCjFg2m438/HyKi4uZM2fOPXnNixcvRievH6mys7M5cuQITU1NpKWlDXdxxEMo7+vvDur2yr/32C0fb25uZvXq1QDU1dVhNBpJT08H4OjRo1gsljt+7WPHjrFo0SJeffVVnn322ZseX7lyJbW1tdhsNgB27NhBRkbGHb8e3EFCGqVUOuFg8HPADOAA8Gd3VQohhBBCiPvMjBkzeP3118nLyxtQwocuFy5cIBQKMW3atNuu29TUFM08ONLNmDGD06dPs2bNmuEuihBDLjU1NTrW9uWXXyY+Pp6vfe1rd73dYDDIX//1X/OJT3ziluv9+te/HtTxx/3qDqqUMiulnlFKbQOqgT8E3gTagOe11r8dtBIJIYQQQtwHLBYLq1evZseOHVRXVw/ouZ2dnZw+fZqqqip27tx52+6pJSUl0XkFR7px48bR3NxMW1vbcBdFiPvWj3/8Y5555pm7bgkcqP6OFawH/hUoBRZqradorb8L3LuO9kIIIYQQI0xmZiYbNmzg4MGDlJWV9ft5p0+fZurUqaxbt4709HTeeustSktLqa2txel0orWOrhsIBKioqGD8+PFD8RYGnVKKBQsW8N5777Fr1y6uX7+O0+mktraWS5cuSdAoHkovvPACM2fOvOnvF7/4xU3rVldX8+abb/LHf/zHt93uH/zBHzBz5ky++93v9thv3Kn+dis9CywFFgCXlVLXtNatd/3qQgghhBD3uaSkJJ544gm2b9+Oy+VixowZPR53Op3YbLbovIFOp5Py8nKee+45lFLMnDmTrKwsysvLuX79Oh0dHVgsFj7xiU9gsVi4evUqY8eOxWw2D8fbuyN5eXmMHTuW69evc/HiRZxOJwkJCVitVs6fP89TTz01KK/T2tpKTU0N7e3tzJ49W6Y0ECPWa6+91u91//zP/5x/+Id/wGC4dTver3/9a0aPHo3D4eCZZ57hl7/8JS+99NJdlbNfwaHWeqVSKhd4Cfga8COl1A4gDrh/9lRCCCGEEEMgNjaWxx9/nF27duFyuVi0aBHBYJATJ05w5coVrFYra9asISEhgZMnTzJjxowek8lnZmaSmZkZvX/u3Dm2bt3Khg0bKCkpYdGiRcPxtu6KwWAgNzeX3NzcHsu3bt1KfX19j/fbXUNDAyUlJSxfvrzPbXs8Ht566y1iY2PJzs7GZrOxbds21q9fj91uH9T3IcRgeOGFFygtLb1p+V/8xV/cFNAdP36cF198EQiPN37vvfcwmUxs2rSpx3qjR48GwG6386lPfYqjR4/em+AQQGtdAXwX+K5SainhQDEEnFFK/VRr/Vd3VRIhhBBCiPuYxWJh/fr17N+/n+3bt+NwOMjLy+P555+nurqad999l2nTplFbW3vb6SimTZtGbGwsb7/9NjExMdHshw+CadOmUVxc3GdweOjQIZxOJ83NzX0m+rlw4QL5+fk9MsUmJyfz7rvvsmbNGsmUKkacgbQcXrt2LXr785//PI8//vhNgWEgEKCtrY20tDT8fj/vvPPOoCSBGnC2UgCt9UHgoFLqT4GnCAeKQgghhBAPNYPBwCOPPMLFixdJT0+PBim5ubmkpKSwZ88e5s6de9vuYgDjx48nNjaWUCg01MW+p/Ly8jh69ChOp5P4+Pgej125cgWbzca0adM4c+YMq1atuun5gUCAkpISnn766Zu2a7PZ2LFjB4899hiJiYlD+j7EyHS7qSfudzNnzuT06dN4vV7WrVuH3+8nGAyyZs0avvSlL9319u8oOOyitfYAr0T+hBBCCCEE9JpZ1G638+STTw5oO6NGjRqsIo0YBoOBKVOmcOHCBebPnx9dHgwGOXbsGOvXrychIYHjx4/jcDhu6iZ66dIlcnNzex1fmJmZyZIlS9izZw9PPvlkv4JwIQbLyy+/POjb/I//+I8e97umzYiLi+PEiROD/nryixFCCCGEEPdUQUEBZWVlBAKB6LJz584xZswYkpKSMBgMFBUVUVxc3ON5oVCI4uJiioqK+tx2bm4u6enpHD9+fMjKL8SDSoJDIYQQQghxT8XExDB27FgOHTrEuXPnOHfuHOfPn+8xhrCgoIDy8nI8Hk90WXl5OWlpaSQkJNxy+wsXLqSiooLa2tohew9CPIhGXHColEpRSu1USl2O/E/uY72gUup05G/rvS6nEEIIIYS4c3PmzCEhIQG/34/f72flypU9uoqaTCYKCgo4ceIENTU11NTUcPr06ZumCumNyWRi1apV7N+/H59PpuUWor/uaszhEPk6sFtr/T2l1Ncj9/+6l/U6tdYz72nJhBBCCCHEoLDZbMycOfOW60ydOpUjR45QUlIChJPO9DcTaWpqKmvWrBm2+SGLRidS/r35t19R3BWDwYDH45E5Lnvh8XgGPO52JAaHTwIrI7d/Duyj9+BQCCGEEEI8wKxWKytWrLjj58uUFg++lJQUWlpacDgcw12UEcdgMJCSkjKg54zE4DBTa93VQbwO6H0SHLAqpY4DAeB7Wuu3eltJKbUZ2AzwzjvvDHJRhRBCCCGECNuyZQtbtmwB4Nvf/vYwl+bhoJTqcz5MMXDDEhwqpXYBveVm/pvud7TWWiml+9hMrta6Wik1HtijlCrWWl+5cSWt9RZgC8DRo0f72pYQQgghhBB3ZfPmzWzevBmAo0ePDnNphBi4YQkOtdZr+npMKVWvlMrSWtcqpbKAhj62UR35f1UptQ+YBdwUHAohhBBCCCGEuL0Rl60U2Ap8LnL7c8DbN66glEpWSsVEbqcBS4AL96yEQgghhBBCCPGAUVqPrJ6WSqlU4DfAWKACeF5r3aKUmgv8kdb6i0qpxcC/AiHCAe4PtNY/ud22P/zwQy2ZjIQQQgghxFCTDJpipHI4HHr16tW9NhKOuIQ0WutmYHUvy48DX4zcPgQUDXTbVquV+fMlpbAQQgghhBhaR48elfNOMSLt3r37ZF+PjcRupUIIIYQQQggh7rERGxwqpX6qlGpQSp3r43GllPqRUqpMKXVWKTX7XpdRCCGEEEIIIR4UIzY4BP4DWH+LxzcA+ZG/zcA/34MyCSGEEEIIIcQDacSNOeyitf5QKZV3i1WeBH6hwxl1PlZKJXVNgXFvStg/oZBm09//BpOrgckZseQlmRg/NoeUlBQ8Hg/x8fGMGTMGu92O0WgEoLa2ltraWpKSknpsy+v14na7GTduHPHx8RgMBurq6qipqcHlcjFt2jQSExOpq6vDZrPR1tbG9evXSU9PJzU1Fa/XS/cERHFxcdjtdmw2G0qpPt9DIBCgoSE8o4jdbicuLg63201NTQ1Xrlyhs7MzOuDaYrEQExNDfX09wWCQnJwcLBYLJpOJKVOmEBMT0+dr1NTUEBsbS0JCAhaLBQCfz0dDQwNpaWn9GtTt9XppbGwkISEBv9+Py+UiOzsbk2lwvupaa6qqqmhqaiIvLw+73X7LbXs8HsrKymhoaGDcuHGMGTOG2tparFYrdru91/cUDAapq6sjMTGR+Pj425antraWEydOkJeXR1HRrYfihkIhnE4nNTU1tLS0YDQaqa6uxuv1kpOTQ3JyMna7PfpnNpuB8OfgcDhuOcms2+2moaGBUCgEgMFgYPTo0dFt9Lb+yZMnSU9PJz8/n9bWVrxeLwkJCcTGxmIwhK9dNTY2Rie4vdX3tOu9ORwOrFYrKSkp1NbWUlVVRV5eHsnJyX2WZSA6Ozs5c+YMHo8HCH8G8fHxaK1pb28nIyODvLw8HA4HPp/vpud3dHQQCARITk7G6XTi9XpJSUmJvt8uKSkpN+0DnE4nLpeLjIyMW9YFhOvX4XDg9XrJyMjAYrHQ3NxMenp6n8/p+v2kpaURExNDXV0dSUlJ2Gy2ftbOwHR2dtLR0XHT+/F4PLS1tTFqVG/T4fbN4/HgcDjo7OwkJyfnpjrtrqmpCZ/PF92nuVwuqqurqa2txWw2k52dTWdnJ1VVVbhcLlwuF/Hx8UyfPp28vDyMRiMdHR2UlpbS2toa/c1kZWWRmpqK2+2mrq4u+npms5nMzMzovq1LKBSioaGBmpqam34/6enpZGdnk5GRET0+dPH5fNTX1+P3+6Pvx+l0EgqFCAQC2O120tPTaWhowG63M3bsWJxOJ3a7/abvVX+0tbXR0NCAw+GIfq/i4uJISEggKSnptvV9J9rb26mpqaG2tpaEhAQmTZqE1+uNfm5dx8HbCYVCuFwuHA4HgUCA+Pj4Hvu33nT9fvx+P6NHj6azs7PXzycuLq7H87TWtLa2UlFRwcWLF+ns7ATCk3RPmDCBnJwcjEYjdrudlJSU2/6Ou7+Hrv2b2WwmIyOjx+Ner5fW1lYyMzN7bLOpqYny8vLo8cpsNke/b62trRQUFJCTk9OvMvRHe3s7zc3N0fvx8fGkpaX163Pyer04HA7S0tLu+PXb2to4e/Ysp0+fZtq0acycOZOOjg7y8vLueJtCPGxGXLbS7iLB4Tta62m9PPYO8D2t9cHI/d3AX0cS13RfbzPhlkXeeeedOY899tiQl7u7a00uHvn+vt8vCIXQ7laU340h4AGfG2PAg4UAJhVCA8pgJCkpmZS0NHw+Py0tLXi8Pnx+PwY0yufC6HcTdLeRlpxIZmoSCTYLgY5GVCjA6NGjaW1tpaWlBQgHdLGxsYwePZqsrCyUUlRVVWEwGKisrKSqqopRo0ZRVFREZmYmM2fOxG63s2vXLioqKnC73djtdtxuN62trbS3t2MymcInVJ0etDKSlZFOYoKdZoebFr8ZQ1IWzY5OqqqrcTocGAwGgsFg+GTCHk+81YLX2Ybf68EaF09zmwNLjJX83NGkxsdgDLgpysvC7/OQkZFBc3MzRqORpKQkYmNjCQaDBAIBcnNz8fv9vPHGG3R0dEQPxMFgkFGjRpGXl4fL5WLmzJl4vV5qampobGykpaWF2NhYkpOTMRgMuN1url27RklJCT6fj9zcXOLi4rBarcTExOB0Oqmvr+fatWu0t7djs9miJ4PJyclMmzYteoI/depUOjs7aW1txeFwkJ+fT2ZmJocOHWLHjh0kJyeTmpqK0+mkurqagoICCgsLiYmJoaqqiuLiYlwuF6mpqVgsFjweD0ajEaPJREgZiYmNJy4hCYPJwvXaBmqb23H5Qvhaa5mak8yypUuZMGECMTExHDlylDNllZytaKLGGUIbjCRZjRh8LlTQi9/nx2BQoBQWsxm7PYHYWBudnZ243G50KERycgpenxcjmuwkG1mJNlwuJz6fLxqshEKhcGCfkk5cYjIOp5v6pibiY22MykgnOTGB+MRkLLZ4yqtraWztoKa+Cb9WaI8DT3M1sSrAxPx8/IYYKutb6fBrOnwQNNnAaAYdwmIyER8XS2JCAqFgAIPRQEgr2h2RMsSYiI0xE+h04GquQ3mdpNtjsJnA7/OhtcZqtaKUwmg0Mnbs2OjJeWFhIZmZmRiNRqZOncqUKVMwmUx4vV5qa2u5fPkyZ8+e5aOPPqKjowNbbCwhoxVXQBEIhQgGQ4RCQYKuNjrbm7BZrcyYMYNVq1aRlJREXFwcly9fjl4cuHz5Mu0BI7aEVNpbmgh43XhDik5DLM0eCAUDrJ49iW/96X/B1dHGhQsXKCkppb6lndKaFmo7fDg9fpItQRKUl7R4C7NmziQtLQ2TyYTH46G1tZXW1laqq6txOBzExsUxZfJkJk6cSFVVFbm5uVgsFg4cOEBjYyN+vx+jycT1FjcdxiT8cekkGf3Mz7ExvXAiS5YsYfz48Vy5cgWv1xsN3srLy6mqqmL7rj0E/H5mTQ9fqOo6oe0K/LXWeDweQkCzO0Rls4tOLASUiYAy48dI0GAmoMwYjCaSLCEy483Eag/K66CztZ7O9ibS09Kw2Ww0NzWRlzuWzs5O6uvrSUlJId5up83tw9XRTnpKIqFgkMWLF/P8889jsVhwulz83/94nd3FVYSMFkLBAG63iwSzJn9UItPHZaI8Tk6cOE5jYyOTJk1ixowZJCQk0NraSllZGVeuXMHtdpOQkIDWmpiYGAoLC0lLS6OpqYm0SPkyMzOx2WxorWlsbOTatWtUVVXR0tJCXl4ebW1ttLa2YjKZaPWEaPGbmZydyNJ5Mxk/fnz0QlFVVRUZGRlkZWURExMTDZhMJhMOh4Nr167h9Xoxmc3UdXip6rTg1QYCAT8Gg5E4i4EEsyYnNZ4xKfHMnD6NqVOnYrPZuHjxIgcOHKCiooKYmBiUUpjNZvx+PzU1NTgcDpKTk0lJScHtdkcDVYvFwpgxY4iNjaW2tha3243f78ftdrNq1SomTpyI3+8nNjY2evEzPT2dyspK9u7di9vtprOzE6/Xy+zZs5k8eTINDQ3ExsbS0tJCeXl5NKi1WCwUFxeza9cuPB4PNpsNr9dLZ2cnFoslehEqPj6ejIwMAoEAHR0dhEIhGhsbcTqdJCcnk5SURHJyMsnJyVy/fp3r16/j9/vxer0YDAZyc3NpamqioaGBvLw80jMycXV6aGtuJD8/n6KiomhA2RUstrS0YDabSU5Opq2tjZqaGrxeb/SYazQaqaio4OjRozQ0NJCZmUlSUhIGgwGXy4XH42HChAnMnj2b6upqgsEgEyZMYMKECSiluHbtGhUVFRgMBiZMmABAc3MzWmsmTZqE3W7n448/5ty5c9ELlXa7Ha/XS0tLC83NzZhMJnJzc5kxYwYGg4GEhATMZjM+n4+qqipMJhOxsbFMmjSJYDBIS0sLaWlpZGZmorWmvr6ekpISysrKyMnJYcWKFWRlZWGz2bBarXR0dNDS0sKuXbt44403SEtLY9q0aSQnJxMbG4vD4Ygeczdt2kR2djahUAir1Yrb7Y5+z48fP05MTAwxMTGMHTuW2tpaKisruXjxInV1ddELmMFgiGu1jZQ3d9LmU1hjLMSYjRgMBjqDCmNsEpaEVOqbmnG6PYQw8Jeff4qvrJ95L0772LJlC1u2bAFg83/9On9fPDQX1+6V8u/d2/NmcW/s3r37xOrVq+f29tgDHxx2d/ToUX2vs0a1uHz83S/e41BJFQ5zCk6jHdQQ9ebVIVRnO6qzDbPJRHxCQvgEtrMDV1Nd+CTc6yWEgRhbLKGAj8y0ZCaNz6O9pZFrZZdwO9rxeLyYLFaycsaQlJ6FO6ho7OjEYjYTY9BYDJp2H7SreHzWZLSKXNHWGvp5FbRfQkEs3jaSjR4yrRqLp5lgWy0+rw+jJQZ/CFrdfhw+yBgzDqPSxJog3mIgNUYzdUwq6SlJlF67zpsfnaPFlEqiPZ4xybFYgy4cnV7aAybaA0awxGKx2lBGC0aTCbfLidlkROkQXo8HdIgQCpPNjinWDgE/ptZyMmjH2tnI1atXCQT82O2JhHSIgsLJZI4ZT7slldJmP7VuUMpAfHw8Ab+fTmcHfo8bi0GjO9sJOluwaC82exIJ6dlgiaO+zYlPWcASR8gSS8gcC4bbtIB6HFBfStDvRSeMwpg8GmUe5DTawQAGbwcx2odZ+yDox2uKw2dJQJtj73y7oWD4+zMUv49QEOVzYvI6SAq0kG12Y/Y7udSu6EzMQyeMQnW2YexsJcEUgIAft9sJGkLKQMhgIoCRgNGGOSEVQ2wyPoMVbTD2+nKGkJ945cPvaEH73NitZoIeJ0nxVqxGaPAYcMZm4zHevr50MIDyOlHmGLQppu/6CQUh6EMF/aiQP3xBwWgEZUAbzPiViRAGCHjA48QQ9BIIAWYrBosV1bVdgxFttNy0bXNbOZa2SmKDTjJsYE9Oo6ojQJPfRCguHZ81BeJSIBTE6KwnzttErCGIK6DwYSZoskJMPCGzjZA5Dvqou4HSvk6MgU4sKohPWQhZ4n+/bR0K14fPhfI5sRpCuCypYLXfeqOhIGbtJz7GhEUF8DpaUX4PJqWjLXUhowWPwUowJpGQMmL0tmMNdWJTAXxuB7EWM3abhThTCKPfRcDnpdqpcZoS8JniIegnLsaExWKhw5SEz/T7Fihb0Emsuw6bt5VUS4BsuwmPsyMciFptGO2pOHUMpVVNuIPh/ZK2xOIyp+A3x/X1rqLvLcbdQJy3kZCrHa/BQsBowxgTi0GBQUEo4MMY8pMYGwMGEw0ehcecgLLaUV4HMcFOLCEPIa8Lv6sdHQzgNcai7Omo2CRCBjPKZEEZLYR/RCG0DkHkz6jA7OsgPugg0eChuaWVzpARZYnF5GpkUryX8RkJtLS0UFlZicPtxRZvZ+G8ucybM5vmziDnq1u57gjhDwTB1cKYVDsEfRSXXqHN5UWZrcTGxxPSEGO1YjCasMRY6fR4aWltw2S2kJiUjMFkQmtw+4I4gkbMiZmELPF4Qgod2d9a/R3EeRqJ9TSREm+l0+Wk09lGXMBBsiWIo6MDo9HIzJkzWbduHQazlZ++d4jDFQ58fj/K5yYnPYl4OqkqPozJ58AUaQnOysri4sWL+P1+Jk+eTG5uLoFAgMbGRkImK9acKXTGjaKptYPO6hIMLRXEKS+JCQm43W7anG5iM8cRjM+g1avo9AcJKSOYrYRMNgw2O0aLDe1oRDkbSDQFSE5KJC4+AYvVhs8US0VDBw6/QvvcGAOdhNyt4GwGRz1WfwdGiw1LYjoJGTl0uhx0NNUSawhhiY2ntTOAV8Xgi01HpeRiyhiHApSzkRhfG6FOJ8pkRqMwEyTQVI7FVU9KrJmAKZaQJZbOoAFliiEtMwtLfCKNDg8NHR60wYLJEMJsAIvZgtcUi7Ym4jXFEzBY+v6O92LT9Ex+8Klez4OH1E/e3Ml3j9zcg0Q8nEZSoP2gBof/CuzTWr8SuV8KrLxVt9LhCA4h3NWptLSUy5cvs2zlKs5cKucXr/yWy5U1BAwx+JUZc1wixhgbhELYrFa8Xg/2+Hhsthham5txu13hoMIXIDY5g/i0LLyYCWLArxV+zHhNcWgGMTjrJ6MOEkKhlQEV8mPzd6AcDcTgY1xeHhkZGXR2dlJRURG+ehgXj4qJxdnpxxcMn7wFfZ3h1hybHb8hhqAlnpAt+S5LpjF5HQQs8UMXkN9jKhRAhfwQDEAogFEHiDMrUuyxNPotOII3B49xxhCJuJiQFkv++FxKy2sovlyOXxsYM2YMycnJaK1pa2ujtrY23HpkNGK1WjGbzQRDQdra2lCmGAIWe/jkuw9GgqhQAIIBzEYDgVCIQAg0CqWDmAhi1EGMOoAh5Cfg7URb4iEuFY8Kn0hatB+T302iVRFnDOFtb8KggwRCGnenB2UwoFGEQhqrzUrA20nQ78cSE75gEMSAHxNYE9Ax8QRNNvzq7ruT9sZqBKvyE2MKB2KBYJAOH3hC/fu+GQIerCE3GC1ooxmjDpISA8mWIC6Pj8aAlXYd2+Oiiwp4sYU6SbKEiDFq/JYEGtw6fCFhkJiCHgytlSQbPHjjMmmzpPfrN6R0KLwP6sdFImvIQ3aSlbRYE81113G3tWBWAXyuDpJiY0hNTcFjjKO6tZNWH2BNIGiOJWi0Ej1qKQW97fP8najegtwIo7edFG8ddmOQsbl52OLiKKtu5nqbF78thaCx9+7vQ8kQ8GLsbMFvSwXTnX+WFvzYvU0YPB34/T6MRhM+jDiCRozxqQRjEgf3It4QiQu0Y9AhfOZ4vAzN7/e2tAb0Lb/7Zu1njF0R8jjx+3wEQtCokgj18d0DsBpCxBqCaDR+fwCT0oR8naigF2Uw4QooQmYbQUvvFzEMOhJsQ/ji7H3weQ427etEd9Rh9raHFxhNoAyEOp2YAm7MIS8xJkXumBzssVb++DPPsLgg+56XU4LD+8tICt6G2q2CwxE75rAftgJfVUq9CiwA2kfaeMMu1kj3Mrvdzt5dOwD471/5HGPGjCEYDJKQkBAdS+D1eikrKyM2NpZFixb1GDvQ1YXv4MGD2O12pk2bhsViIRQK0dLSwrETJ9nz8WmuNzvIzMykpamRqVOnMXvxcoKmWNo6/bS1tXKt7DLV1ytxebw4O314AyFiE5JISE5DmSx0ut1YTIqAz4vVECJGBTEGwl3UsFixJ6djCnrxNVylo+oSxpCf7Oxspk4rwh4fT0dHO0sfW4pSiqNHjzIpNSY8FjI1iYUL1xMTE0NnZydtbW34fD4mTpyI3W6npaUFrTVaa2pqaigpu8qB05coqW2nLWTDljmOYGwyRqVQhAh4O4nBj6e9CV9HC34NtoQULPYUnCoWryWRQEwCBjQTEiHOeR2vx4MjZMEfk0BirJUUK/haagi6O+hoayHWGkNHRzsNjU3Exdvx+vxoZWDylClMmjiBrLQk4s0GrtU2UeGJ4XIbNPvCJw4KDZHyo0Ph1pv2auI760k3eTDoII+sWkV7ewdjx40nJjaBmoZmzAmpVLc4uVbbRHpiPHFm8DlbiTVqvB3N1F+/hvI6KcgbzZSCfGpqasjLyyMhIYGamhoqKysxGAysWL+C1qCF4joPJrOZKdlJZMZqjny4h2AwSFXVGTobDvPCokX8+LMvcOXKFX7729+SQgoAhw8fZvW4cUydNZWCggJmz55NIBDgN7/5DXZ7ePzeI4/MQZliOFJcSlxKJtdqGqiqa2RMajyTspJIi7dFx75eunSJ5ORkjh07htlsJikpKdxdNdKVyufzkZ8/nfT0dI4fP07BlInUVF0nxmJn/PgZ7Ny5k3PnzrFixQqUUphMJiZOnEh2djbJycm43W48Hg/Jycl4vd7ouNiuCxEXLlxgzJgUmprqaW7rICE9m8o2H6erHbSZ0wiY44lz1xLTdo2nls9CWxOoaHZR3erG5w/S0NREa2sbqUkJZGemYzUp/M4WspLimFk4HndLHYUTx0d/2z6fj+vXr5OZmUmb20dZbQtNHZ2cOHueHXsPYLLZscQl4PD4sWovc8YkYHDXkJyUhMlkQimFzWYjGAySn59PQUERLpeL2sYWymubSLCZ6WhppL62Jvx7mzoVn8/H66+/zqRgkLHjJtDqcNHW4SJkMGIymiJdrd3ExZhIirMRYzYwdeZcCopmc+zMOVKTE0lLiCcxzsrVq2VcOH8Bn89La2MdG9avj7Zq1Lde4GiVkzYdh9sYj9tkB78HW6CDuICDJIOHuJCTvLR4DKYYWonDMmoihpg4LNqL8rkJdnaQEGNk7fJFzJs+meaGOvbt28fHH3/M0vx8Fjy1ose4sq6ucwAOh4ODBw9y6tRhYmJi+MQnPkFOTg6V16tobneSlJlDWWU1Rw/sIdYQ5Ot/+f8jKyuL61XVlFfVcuzsRUIx8RhsCYxNtFCUN5HU1AUEg0HOnj1LYqKZxDkFNDQ0sHPnTsqulRObmIY5NgEsNuKT0zHHJeILavLy8sjKyiIhNoYxqXaKj3zI2Jwsats9XK1rpbbFSUgZ8YXAak+m3ROkyeXD4wuSgBtfwzUSjT4SklJoancyesxYcuIg0FJNR7Cd2up63JYUXLZ0HMRiTMrCa0nEHwjiD/gJBUMkWCA/K5lEU5AEqwF7jBHtdREXdFB3+SydfjdpmWkkJIRb3+x2O1OmTOHEiRMkpmVyqqKF4hoHhphY8kalMm1iLpPzx9HU3MLJU6dpcziJS0zFrw20tbYyNTed3GQbOemJOP2K81erKK9vISVzNA5PgJDBRHqsiUy7icx4M60NtVy5VMLSxQtJTEykta2d6to6cnPzqKyqIoiBmg4/wfgMPOYEWhobaK2/Tv64XEqafNSpFFymxOixz2IyYCSEzx8kpAzYDEGMjjpMrkbirBba/QaCMQmEMGAzakalJuJzO1BojAaFp7MTe3wc6akpGA0GHI52jEoxJmc0jQ0N1NVW4+t0kRZrYnLuKEx+JyropbG2Gpe7k4z8mVS6TbQRS4fLQ2uHg7jEVDoMdpxBM1edAEnhFH+ROHK0LUCusZXMxDiSRo0Bq52yBifnq9tpcft/fwGp66KOpVuLb+TahNJBkkMdTBtlI+TzcKUtSItKwKvM0YBVocm0aezaRZpVYwj5SYqPZWz2KBJtJqz4uVJ2mVqHHxIyqW334nB04HY6MRkNKE8H1lAnHQ1VBDCSOnocQUs8xqRReC2JNLg1JoIoTweWkAeDyYJHG/EpM4ZQACt+Yg1BsuKNjEs0kG0LYjQoqjsChOIzuHS1HG+ni7E5o+nUZs5WtuCJTUcbY8DnJCbkxR5jwEQIEyH8HifxJk1anIWQv5Pa+kaSUjOIt9u5fOYY+aPTmJKXxdxpk5gzZyWBQICEhAS8Xi9er5fMzEz8/vBwHJ/Px9GjR8nMzGT+hJ5jNMXAPUyB08NuxLYcKqVeAVYCaUA98D8gfPlQa/0vKhw1/RPhjKZu4A9u1aUUhq/lsLuGhgZMJhMpKSl3vI1gMMiePXvw+XxkZGREEyp0BZKXLl1iz549jBs3jszMTJxOZzRhQGlpKXa7nenTp2Oz2SgtLeX48ePU1dVRWVlJKBRi4cKFrFy5ksLCQlpaWjh//jzHjx/HbDbT2NiIyWQiFAqRlZXFhg0byMnJ4fr161y6dAmr1cr8+fOjiVZaW1vZvXs3Pp+PtWvX3jIZRl86Ozuprq7mZz/7GV6vl8TERGJiYrBYLJjNZqxWK+PHj6ehoYHdu3dTX19PTU0N8xcuYvK8ZYxJtXP54jm01nzmM58hPT2dAwcO4PP5yMrKoq2tjY6ODhobGzl+/DhxcXE88sgjaK2x2WyUl5fT2dlJeno6y5YtY9SoUQQCAS5evEhxcTFGoxGbzcb48eOJiYnB4/HQ0dHBu+++y+jRo1m/fj1a6+jYoDVr1nDy5ElcLhcrV66ksbGRS5cuUVdXR2xsLFlZWfj9fvbv3097ezsFBQVMnjyZxMTEaFKD7kkQOjo6OHr0KCdOnGDRokUkJCREE+GcPHmSefPmMXnyZEaNGoXH4+Hy5cs0NjZis9loamri8uXLmM1mXnzxRYqKigiFQpSUlHD27FmCwSDLli1j7NixeDwe9u3bh9lsZvny5bdN7uJ0Otm+fTuFhYVMm3ZT4z8+n4/Lly9TXFxMWloanZ2d0d9FeXk5BQUFTJ8+naqqqmhyjYEoKyvj7Nmz5Obm8utf/5r6+nrWrVuH1pqDBw9y9uxZrFYrL774YrR+srOzMZvNHDp0CKfTSVFREWfOnCE5OZlZs2bh8/k4f/48Z8+eJSkpKfqb0FqTlJQUHScze/ZsJk2axI4dO9i5cyebNm3C5XJRXl5Ofn4+7e3tNDQ0sH79emw2GzU1NVRVVeH3+0lPT8fhcBAMBsnOzu41IUlDQwOlpaV0dHQwY8YM2tvbKS8vp6ioiLFjxxIMBqPr+3y+aBKUYDDIxx9/TFNTE8uWLaOtrY0rV65w/fp1vF4vgUAAj8fD448/zuTJk6PPv3r1KqWlpXg8HtxuN+Xl5YwePZq5c+eSm5tLSkoKWmsqKyupr6+nrq6OM2fO0NDQgMFgwGq1kpOTw9q1axk/fjwej4eTJ0/S2NjI3LlzGT9+fL8+087OTo4ePRotf0ZGBh0dHRw8eJBDhw4xceJEioqKor/ZrkQ6o0aNYsmSJb1uU2tNeXl5NMmJ3W7HYDBQXFzMtWvXmDlzJrm5udTW1hIfH09mZmaP5zudTiorK4mPjychIQG73R4dQ7V//36uXLmC2WzGbrczZ84c5syZg9VqjQamv/3tb0lMTGTFihXMmDEDi8XCBx98gMViIRAIsG/fPpqbm6mvr0drTXp6On6/H4PBQGpqKsnJycTExJCTk8Ply5dJSEjgxRdfJCsrCwgnMulKBtLc3Ex7eztZWVm43W7OnDnDkSNHuHz5Ms3NzdExYUuWLKGpqYn6+npsNhszZ84kISGhx/vu2q7L5eLy5ct0dHTgcDi4ePEiRqORl156qdcEVqFQiDNnznD+/HliYmLwer1cvnwZpRQvvvgiY8eO5Y23trL79BWaGhuYPDYDT1sDaM28efM4fvw4FouFhIQEVq5cGb24um/fPlpbW1FKRRMv5eTkEAgEmDFjBnl5eWRnZ1NXV8cHH3wQHdfWlRSpsLAQq9XK6dOnyc/PZ9y4caSkpOByuXjvvfeYPXs2WmuysrIwmUy89tprtLa2kjhqLDuOXSCEkaTkZNra25mUGoOnuZr169cze/ZsTp06RWNjIwAGgxFrcgaVtQ0kJSYyZepUHK5OThZfwBOA/InjyUy2U3zsEKsWzyN/wjgCgQCBQICzZ8/S0tLC3AWLaGtro76+nv1792CNsfDss89itVqJj4+nsrKSjz/+mEAgQHNzMwUFBdHPMC4uLprM7p133sFkMjFv3jymTZuGy+XijTfe4PTp06SkpEST2ZWVlTF69Ghmz54dTWRnt9uJiYnhypUrvP/++1y7dg2DwUBiYmJ0DGYgECA/P5+lS5dy5swZfD4fM2bM4P3336exsZHHHnsMn88X/b12jV+PiYnBarXi9Xppb2+Pjtf8zGc+w6JFi6Jjb/uj63hWWFg46AmT+mMoWw4lWBN3477tVjrYRkJwOFi6slR2dHTQ0dGB2+2OPma1Wpk9ezYdHR2cOHECp9PJmDFjCIVCTJw4kbS0NFpaWjh48CCxsbEsXryY2Njw2KeWlhaqqqqimfMSExMpKChgwoQJmM1mQqEQFy5cID4+vt/ZvwKBAH6//64zHno8Hk6cOBEd82MwGMjLy+uRJS8UClFZWUlsbCz/+Z//yeTJk2lsbMTlcrF69WpOnjxJQUEBM2bMwOPxsHfvXiwWC7Nnz8ZutxMIBDAajT0CH7/fz9tvv01CQgJlZWXk5uYyb968aHY4g8FASkoKBw8eJC0tjeTkZM6fP09ycjI3JkC6fPkyhw8fxmQyRbO9jh8/nnnz5jFlypRosA6wdOlS5syZ0+8DWm1tLfv27WPlypW0trZy/vx5NmzY0GvG066Wu4SEhOiJx42ZU4PBYDSxQhetNadPn6asrIzVq1f3uMhRXV3NRx99RCAQAMKf+9KlS2974h8MBikpKeHMmTPExcVRUFDA+PHjb8rqeCdOnz7NpUuXWLNmDYFAgP379+N2u3G5XFgsFj71qU8RCASiiSS6Mv/Onj2bKVOmoJRCa825c+c4c+ZM9OS/K7Bua2sjLS0Nv99PR0cHCxYswOv1smPHjmhQu3nzZrKzw92Z6uvrOXjwIImJiSxfvnxQ3uOduHLlCocOHSI+Pp7s7GyysrJITk6OnjgOJr/fj8PhoLm5OZpIRSnFrFmzmDhx4h29Xl1dHQcOHCAxMZGmpibS09MpLCxkzJgxPdbrSnpyqyy7t+JyuTh8+DBut5vly5f3meVTa011dTWlpaXRRDEJCQkkJiYSFxcXzQyZmJgYDbKuX7/O6NGjKSwsvCkrayAQ4NixY3i9XiB8MaCoqIiCgoJofTU1NXHp0iWqqqrQWmMymTAYDGzcuPGmzKa309rais/nIxQKcfz4cYxGI0uXLr0pILyds2fPUllZyfr162+bIbq9vZ0DBw7Q0tJCVlYWS5cuZdu2bdHEL+fOnaOioiK6zGw2s3//fjIyMkhISODRRx9l6tSpNDU1UVxcHG3RdTqdtLS0UF9fj8/nIyUlJRrA19TUALB48WLS0tI4d+4cbrebsWPHRjMOL1++/Kb37XK5ePfdd5kzZ0406O66yBQKhZg9ezY/+tGPaGho4Atf+ALHjx+nurqa9PR00tPTWbVqVTTjctd+VmtNWVkZH3zwATabjXXr1pGTk0Nrayvbt2/nkUceYdSoUXi9Xt59910CgQCbNm3i5MmTlJaWRjNeh0IhTp8+TTAYZM6cOZw9e5a6ujpGjRqFwWBg/vz5zJ8/v8dxIBAIcODAAdxuNytWrLjpGNHY2MihQ4c4fPgwXq+Xp59+mqVLl96UWbWzs5Pdu3cTHx/P/Pnzo8cKp9PJpUuXuHTpEsFgMPq8roskXQmFWlpasFgs0YvcXZl0k5OT+53FdaQbSHAowZ64lyQ4jHiQgsOB6GoRczqdaK2jKcjnzJlDbm7ucBdvyFRWVnLw4EGsVitPPPFENDvb/v37o9nspk0LZ+27HafTSVlZGe3t7Zw5c4aKigqSk5PJzc2lqqqKQCDA5s2bycjIYP/+/QDR7pA36kqFDuET566WzqamJsaMGUN+fn6PgGwguk4s4uLiWLduXb+vrg5UTU0N+/fvZ86cOeTn53Pq1CmuXLnC6tWroyfQSqkH5gAP4SC2q/u32+0mJSWlx/QaXVe4LRYL2dnZ0ak8+jMFixi4YDBIZWUlWVlZQ17HFRUVHD58mEmTJjFz5sxogKa1prS0lNOnT5OcnExBQQFjx47tNeDtCpK7plMYM2bMoF0ccLvd1NfXM3r06EHZ5tWrVzly5AhTpkyhqKioXwH81atXOXXqFE888cSAylBZWRnN6unz+Thy5AgNDQ0sWrSIM2fOEAwGaW9vJy4ujlWrVtHe3k4oFKKjo4Oamhri4+OZNWtWr/vMrmmYXC5XdOoLs9ncY0qI0aNH09HRQVtbG2PHju2znF2tk92np9Fac/78efx+P1lZWWRnZ+P3+4mLi2Pt2rVUVFTw3nvvYbVaSUxMjB5vulqrT5w4Ee0R0tDQwPjx4ykvL49mA/X5fLz77rtMmjSJQCBAfX09a9euRSlFKBRi//79OJ1OCgsLuXr1KnV1dUyfPj2albR7L5CkpCQKCgpITEyM9iyaPXv2bacHKi0t5dSpU8ycOZPJkyejlCIQCFBVVcXHH3/MrFmzKCgouOU2uvh8vmgLs9FoHFAL4P1KgkMxUklwGPGwBoddHA5HdB7Ch0VpaWk03Xp3XePh7qSba5fW1lZqamqic2jV1NREA6NHHnlk2AIjn8/3+0yVQ8jtdrNr164eXW4HYx5BIUYin8/HsWPHqK2tZdmyZcTExHDgwAGsViuLFi267Zyk9xuv18uRI0eoqqpi9OjRZGdnk5aWFt2vGY3GHl0U9+3bxxNPPHHTvH93oq6ujsOHD5OXl8esWbPwer2YzeZh6RZ4O1priouLo939z58/z4QJE6IXLPx+P9u2baOgoIDjx48zadIkqqqqSExMZM6cOdFWbY/Hw5UrV0hNTWXUqFE4nU527drFxIkTo93yd+3aRVpaGlOnTmXnzp0kJiayePHiaA8Hv9/fa2De1dOopKSEhoYGli5dOqC5DTs7Ozl06BCOyLRUDkc4r8GsWbPuuFX+YdE9OJTgT4wkEhxGPOzBoRhaFRUV1NTUsGDBghF5EjMUuuYRu3EclhAPqvr6eg4cOIDf72fRokUP/OTaXfN81tTUROfOhXCrnMvligYm69evl0ChD263m61bt0a7VH/hC1/otevqqVOnovMk2mw2Jk+e3KNnS9cQh1AoFB0ecS/V19dHxxM+SL1ChlJXcCiBoRhpJDiMkOBQCCHE3QqFQmith7x1/n4QCAQIhULDNn72fhEMBjEYDOzYsYPc3FwKCwuBcI+e4uJiKioqKCoqYuLEibfsJt3R0UFra+sDPSTkQXL06FHkvFOMRA/qVBZCCCHEPfew9Azoj9slnhFhXRcSli1bxltvvUV9fT21tbWYzWby8/N57rnn+lWXCQkJA04UJIQQAyF7dSGEEEKIeyA2NpbVq1fjdrtZsGCBJKwSQow4EhwKIYQQQtwjMkZbCDGSSd8YIYQQQgghhBASHAohhBBCCCGEkOBQCCGEEEIIIQQSHAohhBBCCCGEQIJDIYQQQgghhBBIcCiEEEIIIYQQAgkOhRBCCCGEEEIgwaEQQgghhBBCCCQ4FEIIIYQQQgiBBIdCCCGEEEIIIZDgUAghhBBCCCEEEhwKIYQQQgghhECCQyGEEEIIIYQQSHAohBBCCCGEEAIJDoUQQgghhBBCIMGhEEIIIYQQQggkOBRCCCGEEEIIgQSHQgghhBBCCCGQ4FAIIYQQQgghBBIcCiGEEEIIIYRAgkMhhBBCCCGEEEhwKIQQQgghhBACCQ6FEEIIIYQQQjCCg0Ol1HqlVKlSqkwp9fVeHv+8UqpRKXU68vfF4SinEEIIIYQQQjwITMNdgN4opYzA/wPWAlXAMaXUVq31hRtWfU1r/dV7XkAhhBBCCCGEeMCM1JbD+UCZ1vqq1toHvAo8OcxlEkIIIYQQQogH1kgNDkcD17vdr4osu9EzSqmzSqnXlVJjetuQUmqzUuq4Uup4Y2PjUJRVCCGEEEIItmzZwty5c5k7dy5y3inuRyM1OOyPbUCe1no6sBP4eW8raa23aK3naq3npqen39MCCiGEEEKIh8fmzZs5fvw4x48fR847xf1opAaH1UD3lsCcyLIorXWz1tobufvvwJx7VDYhhBBCCCGEeOCM1ODwGJCvlBqnlLIALwJbu6+glMrqdncjcPEelk8IIYQQQgghHigjMlup1jqglPoq8AFgBH6qtT6vlPoOcFxrvRX4U6XURiAAtACfH7YCCyGEEEIIIcR9bkQGhwBa6/eA925Y9q1ut78BfONel0sIIYQQQgghHkQjtVupEEIIIYQQQoh7SIJDIYQQQgghhBASHAohhBBCCCGEkOBQCCGEEEIIIQQSHAohhBBCCCGEQIJDIYQQQgghhBBIcCiEEEIIIYQQAgkOhRBCCCGEEEIgwaEQQgghhBBCCCQ4FEIIIYQQQgiBBIdCCCGEEEIIIZDgUAghhBBCCCEEEhwKIYQQQgghhECCQyGEEEIIIYQQSHAohBBCCCGEEAIJDoUQQgghhBBCIMGhEEIIIYQQQggkOBRCCCGEEEIIgQSHQgghhBBCCCGQ4FAIIYQQQgghBBIcCiGEEEIIIYRAgkMhhBBCCCGEEEhwKIQQQgghhBACCQ6FEEIIIYQQQiDBoRBCCCGEEEIIJDgUQgghhBBCCIEEh0IIIYQQQgghkOBQCCGEEEIIIQQSHAohhBBCCCGEQIJDIYQQQgghhBCM4OBQKbVeKVWqlCpTSn29l8djlFKvRR4/opTKG4ZiCiGEEEIIIcQDYUQGh0opI/D/gA3AFOCTSqkpN6z2X4BWrfVE4P8C/3BvSymEEEIIIYQQD44RGRwC84EyrfVVrbUPeBV48oZ1ngR+Hrn9OrBaKaXuYRmFEEIIIYQQ4oExUoPD0cD1bverIst6XUdrHQDagdQbN6SU2qyUOq6UOt7Y2DhExRVCCCGEEA+7LVu2MHfuXObOnYucd4r70UgNDgeN1nqL1nqu1npuenr6cBdHCCGEEEI8oDZv3szx48c5fvw4ct4p7kcjNTisBsZ0u58TWdbrOkopE5AINN+T0gkhhBBCCCHEA2akBofHgHyl1DillAV4Edh6wzpbgc9Fbj8L7NFa63tYRiGEEEIIIYR4YJiGuwC90VoHlFJfBT4AjMBPtdbnlVLfAY5rrbcCPwF+qZQqA1oIB5BCCCGEEEIIIe7AiAwOAbTW7wHv3bDsW91ue4DnBuF1aGlpIRQK3e2mxAhkMBhISUlBEtkKIYQQQghxayM2OLxXWlpaiIuLw2q1DndRxBDweDy0tLSQmnpTIlshhBBCCCFENyN1zOE9EwqFJDB8gFmtVmkVFkIIIYQQoh8e+uBQCCGEEEIIIYQEh0IIIYQQQgghkOBwRFBK8ZnPfCZ6PxAIkJ6ezuOPPz6MpRJCCCGEEEI8TCQ4HAHi4uI4d+4cnZ2dAOzcuZPRo0cPc6mEEEIIIYQQD5OHPltpd3lff3dItlv+vcduu86jjz7Ku+++y7PPPssrr7zCJz/5SQ4cOACAy+XiT/7kTzh37hx+v5+XX36ZJ598kvLycj772c/icrkA+Kd/+icWL17Mvn37ePnll0lLS+PcuXPMmTOHX/3qVzKdgxBCCCGEEKJP0nI4Qrz44ou8+uqreDwezp49y4IFC6KP/d3f/R2rVq3i6NGj7N27l7/8y7/E5XKRkZHBzp07OXnyJK+99hp/+qd/Gn3OqVOn+MEPfsCFCxe4evUqH3300XC8LSGEEEIIIcR9QloOu+lPC99QmT59OuXl5bzyyis8+uijPR7bsWMHW7du5fvf/z4QnruvsrKS7OxsvvrVr3L69GmMRiOXLl2KPmf+/Pnk5OQAMHPmTMrLy1m6dOm9e0NCCCGEEEKI+4oEhyPIxo0b+drXvsa+fftobm6OLtda87vf/Y6CgoIe67/88stkZmZy5syZm+ZrjImJid42Go0EAoGhfwNCCCGEEEKI+5Z0Kx1BvvCFL/A//sf/oKioqMfydevW8eMf/xitNRDuMgrQ3t5OVlYWBoOBX/7ylwSDwXteZiGEEEIIIcSDQYLDESQnJ6fHuMEu3/zmN/H7/UyfPp2pU6fyzW9+E4Avf/nL/PznP2fGjBmUlJQQFxd3r4sshBBCCCGEeECortaoh8HRo0f1/PnzeyxrbGwkPT19mEok7gX5jIUQQghxrx09epQbzzuFGAl27959YvXq1XN7e0xaDoUQQgghhBBCSEIaIYQQQgghxINNa01LSwuhUGi4i3LPGAwGUlJSBjTXuQSHQgghhBBCiAdaS0sLcXFxPbL7P+g8Hg8tLS2kpqb2+znSrVQIIYQQQgjxQLtx2reHgdVqHXBLqQSHQgghhBBCCCEkOBRCCCGEEEIIIWMOR4T4+HicTme/19+3bx/f//73eeedd9i6dSsXLlzg61//ep/rf+tb32L58uWsWbOmz+3ciby8PI4fP05aWtodPf9Gn//853n88cd59tlnB33bQgghhBBCdMn7+ruDur3y7z3W52PNzc2sXr0agLq6OoxGY3SataNHj2KxWAb8em+//Tbf/OY3MRgMmEwmfvCDH7B06dI7K3w3Ehze5zZu3MjGjRtvuc53vvOde1Sa4RcIBDCZ5GsthBBCCCFGhtTUVE6fPg3Ayy+/THx8PF/72tfuapurV69m48aNKKU4e/Yszz//PCUlJXddVulWOoLs27ePlStX8uyzz1JYWMinP/1ptNYAbN++ncLCQmbPns0bb7wRfc5//Md/8NWvfpX29nZyc3Ojg05dLhdjxozB7/fz+c9/ntdff/2W23n55Zf5/ve/H70/bdo0ysvLAdi0aRNz5sxh6tSpbNmy5Zbv4be//S1/8Rd/AcAPf/hDxo8fD8DVq1dZsmQJEA5W582bx7Rp09i8eXP0Pfams7OTDRs28G//9m+4XC6+8IUvMH/+fGbNmsXbb78drYONGzeyatWq6FUZIYQQQgghHlTx8fHRKSpcLteApqu4FWliucGrr75KIBAYtO2ZTCZefPHFfq9/6tQpzp8/T3Z2NkuWLOGjjz5i7ty5fOlLX2LPnj1MnDiRF1544abnJSYmMnPmTPbv388jjzzCO++8w7p16zCbzdF1PB7PbbfTm5/+9KekpKTQ2dnJvHnzeOaZZ/pMibts2TL+8R//EYADBw6QmppKdXU1Bw4cYPny5QB89atf5Vvf+hYAn/3sZ3nnnXd44oknbtqW0+nkxRdf5KWXXuKll17iv/23/8aqVav46U9/SltbG/Pnz492lT158iRnz54lJSWlX+9JCCGEEEKIkeSFF16gtLT0puV/8Rd/wUsvvXTT8jfffJNvfOMbNDQ08O67g9NNVoLDGwwkkBsK8+fPJycnB4CZM2dSXl5OfHw848aNIz8/H4DPfOYzvbbgvfDCC7z22ms88sgjvPrqq3z5y1/u8XhJSUm/tnOjH/3oR7z55psAXL9+ncuXL/cZHI4aNQqn04nD4eD69et86lOf4sMPP+TAgQM8/fTTAOzdu5d//Md/xO1209LSwtSpU3sNDp988kn+6q/+ik9/+tMA7Nixg61bt0ZbOD0eD5WVlQCsXbtWAkMhhBBCCHHfeu211wa0/lNPPcVTTz3Fhx9+yDe/+U127dp112WQbqUjTExMTPS20WgcUCvmxo0b2b59Oy0tLZw4cYJVq1b1+7kmk6nHPCgejwcId3XdtWsXhw8f5syZM8yaNSv6WF8WL17Mz372MwoKCli2bBkHDhzg8OHDLFmyBI/Hw5e//GVef/11iouL+dKXvtTn9pYsWcL27duj3U611vzud7/j9OnTnD59msrKSiZPngxAXFxcv9+rEEIIIYQQI80LL7zAzJkzb/r7xS9+ccvnLV++nKtXr9LU1HTXZZDg8D5QWFhIeXk5V65cAeCVV17pdb34+HjmzZvHn/3Zn/H4449jNBr7vZ28vDxOnjwJhLtoXrt2DYD29naSk5OJjY2lpKSEjz/++LblXbZsGd///vdZvnw5s2bNYu/evcTExJCYmBgNBNPS0nA6ndGxkL35zne+Q3JyMl/5ylcAWLduHT/+8Y+jweKpU6duWxYhhBBCCCHuB6+99lq0EaT7X29dSsvKyqLnxCdPnsTr9fbZs28gpFvpfcBqtbJlyxYee+wxYmNjWbZsGQ6Ho9d1X3jhBZ577jn27ds3oO0888wz/OIXv2Dq1KksWLCASZMmAbB+/Xr+5V/+hcmTJ1NQUMDChQtvW95ly5Zx/fp1li9fjtFoZMyYMRQWFgKQlJTEl770JaZNm8aoUaOYN2/eLbf1wx/+kC984Qv81V/9Fd/+9rf58z//c6ZPn04oFGLcuHF3PA2HEEIIIYR4eN1q6on7we9+9zt+8YtfYDabsdlsvPbaa4OSlEbdKlPkg+bo0aN6/vz5PZY1NjZG5xkRDyb5jIUQQghxrx09epQbzzvF8HlYzwd7e9+7d+8+sXr16rm9rS/dSoUQQgghhBBCSHAohBBCCCGEEGIEBodKqRSl1E6l1OXI/+Q+1gsqpU5H/rbe63IKIYQQQgghxINkxAWHwNeB3VrrfGB35H5vOrXWMyN/G+/0xQwGw22nZhD3L4/Hg8EwEr/mQgghhBDiXnkYz/nv5Dx4JGYrfRJYGbn9c2Af8NdD9WIpKSm0tLT0mf1T3N8MBgMpKSnDXQwhhBBCCDGMHsZz/js5Dx6JwWGm1ro2crsOyOxjPatS6jgQAL6ntX6rt5WUUpuBzUCv0x4opQZlThAhhBBCCPFw27JlC1u2bAHg29/+9jCXRnQn5/z9MyzBoVJqFzCql4f+pvsdrbVWSvU110au1rpaKTUe2KOUKtZaX7lxJa31FmALhKeyuMuiCyGEEEII0avNmzezefNmIDyVhRD3m2EJDrXWa/p6TClVr5TK0lrXKqWygIY+tlEd+X9VKbUPmAXcFBwKIYQQQgghhLi9kZipYyvwucjtzwFv37iCUipZKRUTuZ0GLAEu3LMSCiGEEEIIIcQDRmk9snpaKqVSgd8AY4EK4HmtdYtSai7wR1rrLyqlFgP/CoQIB7g/0Fr/5Hbb3r17d2Nkm/dcS0tLWkpKStNwvPb9SOpr4KTOBkbqa+CkzgZG6mvgpM4GRupr4O5lnXm93tkxMTEn78VrDcRI/d5IuQbmLsuVu3r16vTeHhhxweGDSil1XGs9d7jLcb+Q+ho4qbOBkfoaOKmzgZH6Gjips4GR+hq4e1lnI/XzkXINzMNWrpHYrVQIIYQQQgghxD0mwaEQQgghhBBCCAkO76Etw12A+4zU18BJnQ2M1NfASZ0NjNTXwEmdDYzU18DdyzobqZ+PlGtgHqpyyZhDIYQQQgghhBDSciiEEEIIIYQQQoJDIYQQQgghhBBIcDjklFLrlVKlSqkypdTXh7s895pS6qdKqQal1Lluy1KUUjuVUpcj/5Mjy5VS6keRujqrlJrd7Tmfi6x/WSn1uW7L5yiliiPP+ZFSSt3bdzi4lFJjlFJ7lVIXlFLnlVJ/FlkuddYLpZRVKXVUKXUmUl/fjiwfp5Q6EnmPrymlLJHlMZH7ZZHH87pt6xuR5aVKqXXdlj+Qv2GllFEpdUop9U7kvtRZH5RS5ZHfzGml1PHIMvlN3oJSKkkp9bpSqkQpdVEptUjqrHdKqYLId6vrr0Mp9edSX7emlPqvKrzfP6eUekWFjwcjZj82XPtBNYjnEUNUvrs+9gxBmQZlfzUE5RqU7/iAaa3lb4j+ACNwBRgPWIAzwJThLtc9roPlwGzgXLdl/wh8PXL768A/RG4/CrwPKGAhcCSyPAW4GvmfHLmdHHnsaGRdFXnuhuF+z3dZX1nA7MhtO3AJmCJ11md9KSA+ctsMHIm8t98AL0aW/wvwx5HbXwb+JXL7ReC1yO0pkd9nDDAu8rs1Psi/YeAvgP8E3onclzrru67KgbQblslv8tZ19nPgi5HbFiBJ6qxf9WYE6oBcqa9b1tNo4Bpgi9z/DfD5kbIfG879IIN0HjGE5burY88Qlemu91cj9Tt+R699L76oD+sfsAj4oNv9bwDfGO5yDUM95NEzOCwFsiK3s4DSyO1/BT5543rAJ4F/7bb8XyPLsoCSbst7rPcg/AFvA2ulzvpVV7HASWAB0ASYIsujv0PgA2BR5LYpsp668bfZtd6D+hsGcoDdwCrgnUgdSJ31XV/l3Bwcym+y7/pKJHxSo6TOBlx3nwA+kvq6bT2NBq4TDoRNkf3YupGyHxtJ+0Hu8DxiiMpy18eeISjToOyvRup3/E5eW7qVDq2uD7ZLVWTZwy5Ta10buV0HZEZu91Vft1pe1cvyB0KkS8Aswq1hUmd9iHRROQ00ADsJX61t01oHIqt0f4/Reok83g6kMvB6vN/9APgrIBS5n4rU2a1oYIdS6oRSanNkmfwm+zYOaAR+Fuk+9u9KqTikzvrjReCVyG2prz5orauB7wOVQC3h/dIJRs5+bETsB+/yPGIo/IC7P/YMtsHaXw2qQfyOD5gEh2JY6fAlDj3c5RhplFLxwO+AP9dad3R/TOqsJ611UGs9k/AVyflA4fCWaGRTSj0ONGitTwx3We4jS7XWs4ENwFeUUsu7Pyi/yZuYCA8n+Get9SzARbhbVpTU2c0iY4c2Ar+98TGpr54i47+eJHxinw3EAeuHtVAjzEg7jxjBx54Rub8azu+4BIdDqxoY0+1+TmTZw65eKZUFEPnfEFneV33danlOL8vva0opM+Ed+q+11m9EFkud3YbWug3YS7ibRZJSyhR5qPt7jNZL5PFEoJmB1+P9bAmwUSlVDrxKuHvPD5E661PkCi5a6wbgTcIXIeQ32bcqoEprfSRy/3XCJ19SZ7e2ATipta6P3Jf66tsa4JrWulFr7QfeILxvGyn7sWHdDw7SecRgG6xjz2AbrP3VYBus7/iASXA4tI4B+ZHMQhbC3UW2DnOZRoKtwOcitz9HuD981/KXIpmgFgLtkSb9D4BPKKWSI1dSPkG4j3Ut0KGUWqiUUsBL3bZ1X4q8j58AF7XW/6fbQ1JnvVBKpSulkiK3bYTHVVwkHCQ+G1ntxvrqqsdngT2RK4JbgRcj2b7GAfmEEzg8cL9hrfU3tNY5Wus8wu9nj9b600id9UopFaeUsnfdJvxbOof8Jvukta4DriulCiKLVgMXkDq7nU/y+y6lIPV1K5XAQqVUbOQ9dX3HRsp+bNj2g4N4HjGoBvHYM9jlGqz91WAbrO/4wA32AEr5u2lA6aOEM0VdAf5muMszDO//FcJ9pf2Er878F8J9oHcDl4FdQEpkXQX8v0hdFQNzu23nC0BZ5O8Pui2fS/hE7QrwTwzBYOV7XF9LCXddOAucjvw9KnXWZ31NB05F6usc8K3I8vGED/BlhLtoxUSWWyP3yyKPj++2rb+J1Ekp3TL5Pci/YWAlv88YJ3XWex2NJ5xp8Axwvuv9yG/ytvU2Ezge+W2+RTh7ptRZ3/UVR/gqf2K3ZVJft66zbwMlkff1S8IZR0fMfmy49oMM4nnEEJZxJXdx7BmC8gzK/mqkfscH+qciGxRCCCGEEEII8RCTbqVCCCGEEEIIISQ4FEIIIYQQQgghwaEQQgghhBBCCCQ4FEIIIYQQQgiBBIdCCCGEEEIIIZDgUAghHgpKqXKl1JpB3uZ/KKX+NnJ7mVKqdDC3L4QQYngopbRSauIdPrfP482Nx4ru6yql/ptS6t/vrMQjh1LqfaXU526/5sgkwaEQ4qESORD5lFJpNyw/FTkY5g3Ca+xTSn3xLrexTin1oVLKoZRqVErtV0ptvNuy3UE5Pq+UCiqlnN3+/unG9bTWB7TWBb1tYwCvtTLyGfx1L2U4eMOyaGB6ryml8iLlNA3H6wshRG8ix7fOyH66PrKfjB/ucnV3q2OF1vrvtdZfhLvfz/Zy7LqmlPqZUmrS3ZS/P7TWG7TWP+9WjoO3e85IIsGhEOJhdA34ZNcdpVQREDt8xelJKfUs4clsfwHkAJnAt4An7mBbgxHAHNZax3f7++ogbLM3nwNagJeGaPtCCPGge0JrHQ/MBuYC//3GFR6iC1uHI3WRCKwBOoETSqlpw1uskU2CQyHEw+iX9AxAPkc4EItSSiUqpX4RabWrUEr9d6WUIfLY55VSB5VS31dKtUauSG6IPPZ3wDLgn7q3simlCpVSO5VSLUqpUqXU870VTCmlgP8DfFdr/e9a63atdUhrvV9r/aXIOhOUUnuUUs1KqSal1K+VUkndtlGulPprpdRZwHXjiYBSKkYp9QOlVE3k7wdKqZi7qdBIq1/VDWX4hlLqQqSOfqaUst7i+XHAs8BXgHyl1NzI8snAvwCLIvXZppTaDHwa+KvIsm2RdbOVUr+LfGbXlFJ/2m37LyulfquU+lWkNbZYKTUpUsYGpdR1pdQnuq2/Tyn1P5VSR5VSHUqpt5VSKZGHP4z8b4u8/iKl1MRI62575DN57W7qUwgh7obWuhp4H5gG0W6iX1FKXQYuR5Z9SSlVFjkubVVKZd+wmUeVUlcj+7T/1e0YeMtjUMS83vb/Nx4ruovsp38VuXvjfnZFpJxF3dbPUEq5lVLpt6mLoNb6itb6y8B+4OVu21iolDoUObacUUqt7PbYPqXUd5VSH0WOGztUpNeRUsoaOZ40R557TCmV2e15X+zj+DVPhVt1jd1e52ml1JlbvYd7SYJDIcTD6GMgQSk1ObKDfhH41Q3r/Jjw1cbxwArCweQfdHt8AVAKpAH/CPxEKaW01n8DHAC+2tXKFgl8dgL/CWREXu//r5Sa0kvZCoAxwOu3KL8C/ieQDUyOrP/yDet8EngMSNJaB2547G+AhcBMYAYwn16uLg+CTwPrgAnApNu8xtOAk3CL6QeEA3a01heBP+L3rZdJWustwK+Bf4wseyJy0rINOAOMBlYDf66UWtftNZ4gfGEgGTgVeR1DZP3vAP96Q5leAr4AZAEB4EeR5csj/5Mir38Y+C6wI7LtHMLfHyGEGBZKqTHAo4T3dV02ET52TVFKrSJ8HHme8D6uAnj1hs08Rbj1cTbwJOH9IfTvGDSQ/X9vbtzP7o+U7zPd1vkksFtr3TiA7b5B+AIuSqnRwLvA3wIpwNeA390QbH6K8LE/A7BE1oHwMSqR8HtPJXyc6uz+Qn0cv44BzcAnuq36WW64QD2cJDgUQjysuloP1wIXgequB7oFjN/QWju01uXA/ya8A+9SobX+N611EPg54YNrZh+v9ThQrrX+mdY6oLU+BfwOeK6XdVMj/2v7KrjWukxrvVNr7Y0cFP8P4QC2ux9pra9rrTt72cSnge9orRsiz//2De/tRgsjVzy7/hbeYt3u/ilShhbg7+jWlbcXnwNei9TnfwIvKqXM/XwdgHlAutb6O1prn9b6KvBvhD/HLge01h9EguXfAunA97TWfsInHXk3XP3+pdb6nNbaBXwTeL771d4b+IFcIFtr7dFa31djTIQQD4y3lFJtwEHCrWR/3+2x/6m1bokcFz4N/FRrfVJr7QW+QbiFK6/b+v8QWb8S+AGRfXg/j0ED2f/318+BTyqlVOT+ZwkfyweihnAgCOFA8z2t9XuRHjo7geOEg+ouP9NaX4rU2W8IX1SF8D4/FZgYaZk8obXuGMD7+AxApEfKOsLHvRFBgkMhxMPql4SvCH6em6/YpQFmwldSu1QQbmHqUtd1Q2vtjtzsa+B/LrCge4BF+MA8qpd1myP/s/oquFIqUyn1qlKqWinVQbjVM+2G1a739XzCV3tvfG83difq7uPIFc+uv49vsW5fZejzNSJXuB8h3BoI8DZgJdzy2V+5QPYNdfzf6Bmw13e73Qk0RYLRrvvQ8zO8sfxmbq7nLn9F+Gr6UaXUeaXUF/pYTwghhtKmyH46V2v95RsuEHbfp/U4DmitnYSPP6P7WD+6D7+DY9DtjjH9orU+AriBlUqpQmAisHWAmxlNeGw7hI8bz91w3FhKz+NvXbfbbn5/jPgl4d4nr6rw8Ix/HMAFzV8BT0R6FT1P+MJlnxeE7zUJDoUQDyWtdQXhxDSPEu5m0l0Tv28J6jKWbq2Lt9v8DfevA/tvCLDitdZ/3MtzSyPrP3OL7f995DWKtNYJhK9AqhvWubEM3dVw83urucX6d2pMP1/js4SPR9uUUnXAVcLBYVcq8N7eS291fO2GOrZrrR/t5bn9dWP5/YS/GzeVR2tdp7X+ktY6G/hDwt2G7ygNvBBCDJHu+64ex4FIoJJKz+NcX/vw/hyD+rv/709Zu+tqdfss8LrW2jPA7T5FeOgHhI8bv7zhuBGntf7ebQuntV9r/W2t9RRgMeEeQr0lU+vteFENHCY8nOJOWj+HlASHQoiH2X8BVkW6DUZFWpN+A/ydUsqulMoF/oKbxyX2pZ7wWMUu7wCTlFKfVUqZI3/zIoPVe9Ba68hrfVMp9QdKqQSllEEptVQptSWymp3w+Lz2yJiJvxzAewZ4BfjvSqn0yOD6bw3gvQ3EV5RSOZFuM38D9JWk5XOEu7bO7Pb3DOFkCKmE6zNHKWXp9pwb6/go4FDhRDw2pZRRKTVNKTXvLsr/GaXUFKVULOExia9HvhuNQKj76yulnlNK5UTuthI+IQjdxWsLIcRQegX4A6XUTBVOSPb3wJHIMIouf6mUSo707vgzfr8P788xqL/7/77ctJ+N+BXhAO8z9HOcXuR4ME4p9WNgJeHjTde2nlDhqaOMkSQzK7vty2+1zUeUUkWRoQYdhC8e9rbP7+34RaTsfwUUcfMF6mElwaEQ4qEVyV52vI+H/wRwEW7FOkh4PMBP+7npHwLPqnCWth9prR2EB5+/SPjqaR3wD0CvGUK11q8DLxAe/F9D+ODyt4S7W0L4wDYbaCc8mH6gB5a/JTyu4ixQDJyMLBts/0k4SctV4EpvrxEZv5gL/L9I61vX31agjPA4lT3AeaBOKdUUeepPCCdVaFNKvRUJ2h4nHFheI9zC9++EEwbcqV8C/0H487ICfwrRbsR/B3zUbQzmPOCIUspJuJvTn0XGPQohxIijtd5FeCz17wiPcZ9AzzHaED7mnABOEz7W/CSyvD/HoNvu/29Tvt72s2itrxM+Zml+3wLYl0WRfXIHsA9IAOZprYu7betJwkMQGgm3JP4l/YuPRhFOHNdBOG/BfnpvAezt+AXwJuFj35vdhqaMCCp8kVoIIYQYPEqpcuCLkROQ+45Sah/wK631vw93WYQQQvyeUuqnQI3WeiiybN8zSqkrwB+OtOPkwzIJphBCCCGEEOI+Fsmm+jQwa5iLcleUUs8Qbv3cM9xluZEEh0IIIYQQQogRTSn1XeC/Ep6S49pwl+dORXqmTAE+q7UecWPTpVupEEIIIYQQQghJSCOEEEIIIYQQQoJDIYQQQgghhBBIcCiEEEIIIYQQAgkOhRBCCCGEEEIgwaEQQgghhBBCCOD/A6HCMohXVjCKAAAAAElFTkSuQmCC\n",
|
|
"text/plain": [
|
|
"<Figure size 1080x504 with 6 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# It's always good to separate you plotting from your data generation\n",
|
|
"from itertools import count\n",
|
|
"\n",
|
|
"fig, axes = plt.subplots(\n",
|
|
" figsize=(15, 7),\n",
|
|
" nrows=3,\n",
|
|
" ncols=2,\n",
|
|
" sharey=\"all\",\n",
|
|
" sharex=\"col\",\n",
|
|
" gridspec_kw=dict(hspace=0, wspace=0, width_ratios=(4, 1)),\n",
|
|
")\n",
|
|
"\n",
|
|
"for i, ax, hist_ax in zip(count(), axes[:, 0], axes[:, 1]):\n",
|
|
" c = average_color_data[i]\n",
|
|
" indiv_line, *_ = ax.plot(flips, c.T, alpha=0.4, color=\"k\", linewidth=0.9)\n",
|
|
" (mean_line,) = ax.plot(flips, np.mean(c, axis=0))\n",
|
|
" hist_ax.hist(c.flatten(), orientation=\"horizontal\", label=f\"T = {Ts[i]}\")\n",
|
|
"\n",
|
|
"axes[-1, 0].set(xlabel=f\"Monte Carlo Flip Attempts\")\n",
|
|
"axes[-1, 1].set(xlabel=\"Probability Density\")\n",
|
|
"axes[1, 0].set(ylabel=r\"Average Color $\\langle c \\rangle$\")\n",
|
|
"axes[-1, 0].legend([mean_line, indiv_line], [\"Mean\", \"Individual walker\"])\n",
|
|
"for ax in axes[:, 1]:\n",
|
|
" ax.legend(loc=4)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"id": "bf1877e6-28c5-46a2-8927-9a90886a0498",
|
|
"metadata": {},
|
|
"source": [
|
|
"There are a few key takeaways about MCMC in this plot:\n",
|
|
"\n",
|
|
"- It takes a while for MCMC to 'settle in', you can see that for T = 10 the natural state is somewhere around c = 0, which takes about 2000 steps to reach from the initial state with c = 1. In general when doing MCMC we want to throw away some of the values at the beginging because they're too affected by the initial state.\n",
|
|
"- At High and Low temperatures the we basically just get small fluctuations about an average value\n",
|
|
"- At intermediate temperature the fluctuations occur on much longer time scales! Because the systems can only move a little bit each timestep, it means that the measurements we are making are *correlated* with themselves at previous times. The result of this is that if we use MCMC to draw N samples, we don't get as much information as if we had drawn samples from an uncorrelated variable (like a die roll for instance)."
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python [conda env:recode]",
|
|
"language": "python",
|
|
"name": "conda-env-recode-py"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.9.12"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|