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@DanielWeitzenfeld
Created July 31, 2020 21:29
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import numpy as np\n",
"import statsmodels.api as sm"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Why are the results of sm.DFM sensitive to column order?"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(30948309)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1211cb828>]"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 248,
"width": 386
}
},
"output_type": "display_data"
}
],
"source": [
"# create a factor. I know that this factor isn't well modeled by AR1.\n",
"x = np.arange(200)\n",
"f = np.sin(x/45)\n",
"fig, ax = plt.subplots()\n",
"ax.plot(x, f)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def gen_ar_series(f, loading, rho, sigma):\n",
" res = []\n",
" last_error = np.random.normal(scale=sigma)\n",
" for i in np.arange(len(f)):\n",
" next_error = last_error * rho + np.random.normal(scale=sigma)\n",
" res.append(f[i]*loading + next_error)\n",
" last_error = next_error\n",
" return np.array(res)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"y0 = gen_ar_series(f, 1, .5, .1)\n",
"y1 = gen_ar_series(f, 1.5, .7, .15)\n",
"y2 = gen_ar_series(f, .75, .2, .2)\n",
"y3 = gen_ar_series(f, 2, .3, .15)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 263,
"width": 370
}
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(x, f, label='f')\n",
"ax.scatter(x, y0, label='y0')\n",
"ax.scatter(x, y1, label='y1')\n",
"ax.scatter(x, y2, label='y2')\n",
"ax.scatter(x, y3, label='y3')\n",
"ax.legend();\n",
"ax.set_title('The Dataset');"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"# create a dataframe and send some random obs to missing\n",
"df = pd.DataFrame({'y0': y0, 'y1': y1, 'y2': y2, 'y3': y3})\n",
"missing = [(5, 'y0'), (55, 'y1'), (75, 'y2'), (95, 'y3')]\n",
"for ix, y in missing:\n",
" df.loc[ix, y] = np.NaN"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit twice, same df"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -1.420610\n",
" Iterations: 8\n",
" Function evaluations: 1377\n"
]
}
],
"source": [
"dfm0 = sm.tsa.DynamicFactor(endog=df, k_factors=1, factor_order=1, error_order=1)\n",
"res0 = dfm0.fit(method='powell')"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -1.420610\n",
" Iterations: 8\n",
" Function evaluations: 1377\n"
]
}
],
"source": [
"dfm1 = sm.tsa.DynamicFactor(endog=df, k_factors=1, factor_order=1, error_order=1)\n",
"res1 = dfm1.fit(method='powell')"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 263,
"width": 386
}
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(x, res0.factors.filtered[0], label='Filtered Factor from Model0', lw=3)\n",
"ax.plot(x, res1.factors.filtered[0], label='Filtered Factor from Model1')\n",
"ax.legend(loc='upper left')\n",
"ax.set_title('Same data, same model --> Same Factor');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Same but *reorder columns*"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -1.420610\n",
" Iterations: 8\n",
" Function evaluations: 1377\n"
]
}
],
"source": [
"dfm0 = sm.tsa.DynamicFactor(endog=df, k_factors=1, factor_order=1, error_order=1)\n",
"res0 = dfm0.fit(method='powell')"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: -1.622527\n",
" Iterations: 26\n",
" Function evaluations: 4595\n"
]
}
],
"source": [
"df1 = df[['y1', 'y2', 'y3', 'y0']].copy()\n",
"dfm1 = sm.tsa.DynamicFactor(endog=df1, k_factors=1, factor_order=1, error_order=1)\n",
"res1 = dfm1.fit(method='powell')"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 263,
"width": 405
}
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"ax.plot(x, res0.factors.filtered[0], label='Filtered Factor from Model0')\n",
"ax.plot(x, -1 * res1.factors.filtered[0], label='Filtered Factor from Model1')\n",
"ax.legend(loc='upper left')\n",
"ax.set_title('Same data but columns shuffled; same model; -> Different Scale');"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>res0</th>\n",
" <th>res2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>loading.f1.y0</th>\n",
" <td>0.117863</td>\n",
" <td>-0.067102</td>\n",
" </tr>\n",
" <tr>\n",
" <th>loading.f1.y1</th>\n",
" <td>0.005471</td>\n",
" <td>-0.111412</td>\n",
" </tr>\n",
" <tr>\n",
" <th>loading.f1.y2</th>\n",
" <td>0.090338</td>\n",
" <td>-0.053003</td>\n",
" </tr>\n",
" <tr>\n",
" <th>loading.f1.y3</th>\n",
" <td>0.027676</td>\n",
" <td>-0.136700</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma2.y0</th>\n",
" <td>0.000045</td>\n",
" <td>0.009817</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma2.y1</th>\n",
" <td>0.026603</td>\n",
" <td>0.026294</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma2.y2</th>\n",
" <td>0.045222</td>\n",
" <td>0.042045</td>\n",
" </tr>\n",
" <tr>\n",
" <th>sigma2.y3</th>\n",
" <td>0.035061</td>\n",
" <td>0.018204</td>\n",
" </tr>\n",
" <tr>\n",
" <th>L1.f1.f1</th>\n",
" <td>0.983921</td>\n",
" <td>0.995554</td>\n",
" </tr>\n",
" <tr>\n",
" <th>L1.e(y0).e(y0)</th>\n",
" <td>-0.944870</td>\n",
" <td>0.482647</td>\n",
" </tr>\n",
" <tr>\n",
" <th>L1.e(y1).e(y1)</th>\n",
" <td>0.987638</td>\n",
" <td>0.727993</td>\n",
" </tr>\n",
" <tr>\n",
" <th>L1.e(y2).e(y2)</th>\n",
" <td>0.288626</td>\n",
" <td>0.237547</td>\n",
" </tr>\n",
" <tr>\n",
" <th>L1.e(y3).e(y3)</th>\n",
" <td>0.988315</td>\n",
" <td>0.292412</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" res0 res2\n",
"loading.f1.y0 0.117863 -0.067102\n",
"loading.f1.y1 0.005471 -0.111412\n",
"loading.f1.y2 0.090338 -0.053003\n",
"loading.f1.y3 0.027676 -0.136700\n",
"sigma2.y0 0.000045 0.009817\n",
"sigma2.y1 0.026603 0.026294\n",
"sigma2.y2 0.045222 0.042045\n",
"sigma2.y3 0.035061 0.018204\n",
"L1.f1.f1 0.983921 0.995554\n",
"L1.e(y0).e(y0) -0.944870 0.482647\n",
"L1.e(y1).e(y1) 0.987638 0.727993\n",
"L1.e(y2).e(y2) 0.288626 0.237547\n",
"L1.e(y3).e(y3) 0.988315 0.292412"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#y0 = gen_ar_series(f, 1, .5, .1)\n",
"#y1 = gen_ar_series(f, 1.5, .7, .15)\n",
"#y2 = gen_ar_series(f, .75, .2, .2)\n",
"#y3 = gen_ar_series(f, 2, .3, .15)\n",
"\n",
"sm_param_order = res0.params.index.values\n",
"df_params = pd.DataFrame({'res0': res0.params, 'res2': res1.params})\n",
"df_params.loc[sm_param_order]"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Zs2ZhMrUcHl9++eXNLgbWlUiQL4Toco6W1jJcyeH9kEcA+JNtJoVVp9atIK+ynnGGwz77+irFHa7LL6lpIKdc67v//4LfZ67hfQDMjRFUWa6SIF8IIboJu93O008/jclkarZUpzuSIF8I0eUcK61lkmGP5/GVht281wmZ/NFNgvx+pxDkb3fV4ydg5lfGT8GV0LrQcFTq8oUQohvYuHEj69evZ926dezdu5e5c+eSnp5+tm+r00iQL4ToUqosjZTVNtLXpPdm7qcUU2jueE2+ud5GTYONrBDfID9DKe5wG83Pf9B6RM8xfUSoqr8B6UUF1RLkCyFEl7d27VoeffRR4uPjmT17Nv/85z/P9i11Kpl4K4ToUtz1+P0UPcjPUIopqapr7pRW5VfW00cpIUnx7fXcTymmorb9Qf6WY+V8uKuAZCqZbvRd1TFVqZBMvhBCdAOPPPIIqqpSXl7Oq6++SlhY2Nm+pU4lQb4Qoks56mqf2degr6YYotgJthR1eEGs/Kp6spTDfvszlGIqLe0L8hvtTv704T4A7jX9l1DFN6DvrZRT1c5rejtZYeHzHzr+WoUQQgiQIF8I0cUcLa0lhEZ6K77tKfsaiju8IFZ+pcWvHh8gXSmjstbSrmst2niM7JJaelPG7cav/I73UsoxWzqWya+12vnJ8xu4583tPL76YIeuIYQQQoAE+UKILuZoSR0Ziv9qiFpdfgeD/ACTbgGCFAdKdV6br3OywsLzX2YDcJdpNcGKXTuQfgk2QygAEYqVhrqqDt3nD/lmqhu0a27ILu3QNYQQQgiQIF8I0cUcK62ln1Lkt7+vUtThybfl5aVkKlow71SM1Cec7zkWXpPb5us8s/YwDTYnCk5uCfpeP3Dl76kPS/U8VKoLOnSf3gtzldZYO3QNIYQQAiTIF0J0IY12J7kVFvp6Tbp1668UdTiTH1W2C4Oi9bisjx+KM2W451hMQ9sy+eZ6G5/sKQRglHKERLVcOxAWDwOuwhauB/lBdR0L8r0n7FY32LHapS5fCCFEx0iQL4ToMk5U1OFwqgGD/L5KMYVVHQvy02r26g/6XEJw0nmehwmNBW1aSfKj3QVY7U4Apkfv1A8MvQmMJhxRvT27Quv9P4loi6a1/GUd6PwjhBBCgAT5Qogu5EiJ1iazuSC/qKp9k2QBqhtsDLPv9zwOG3A5QYn66rkZFFFjtbd6nf9sO+naUrlW2aIfGHYLAEpMmmdXpNX//tuiaetNKdkRQgjRUbIYlhCiy8gpd/fI98+Ehyo2GqvyffZZGu18sDOfkxX1zBjbj9SYUL/z9h8vYJThiOexIWMM1OmTWjOUEirrGokODWr2vg4WVbM7T+uxn2U6RmSD6/5CY6H/eABMcfoqidG2jk2arar3zdyXSZAvhBCigyTIF0J0GUXmBoKwk6aUufYo2JKGE1Sq9aUPrc4BoKS6gSXf5vD2llxPN5qcsjpenj7a75rOba8ToWjBcllwOomxfSAk0nO8r1LMgVorfRMimr2vf2/V6/bnJO2DSteDITeBUXtzEBbfxzMm3lFGR5jrfT9RKK2VIF8IIUTHdIlyHUVRJimK8i9FUTYoilKtKIqqKMryDl4rXVGUJYqiFCiKYlUUJUdRlGcVRYnr7PsWQrSsrNbKwo/389aWtnWwKTTXk66UYnRNkiU6DWPqMM/xOGsex0pq+PyZ2Vy5aSYTGtejoNXJHyiq9r+grYHhOW94Hh4fPFPbCIuj1hClbSqN1JY1P/m20e7kg53u4yrjGr/VDw6/xbMZkqBn8lPUsg4tZlVlaSSNUn5k2E4IjVKuI4TostatW4eiKDzyyCOndJ2lS5eiKApLly7tlPsSui4R5AN/AuYCI4H8VsY2S1GUgcB2YCbwPfAMcAz4H2CzoigJp36rQoi2+teX2SzaeJw/frCPPXmt944vMjfQ17tUJ74/hoSBnof9lGLeefNlpquruMy4n+eDX2RV8J+4zPADxdUN/hNod75JjENbVKtIjSNyzJ2eQxXBeg29vfRos/e09kAxla4JsddEFxBa5wr4Q2Kg/5WecUq0HuSnKhVU17d/QSxbnZlPQhawKPgp/mB6hzLJ5AshXBRFQVEUDAYDR482/zvrqquu8oztiYFzVVUVTzzxBNOmTWPYsGGYTCYURWHt2rVn7B4+/vhjJkyYQExMDJGRkYwZM4Y33nij9RPPsK4S5N8PDAaigV+fwnX+D0gG5qmqeouqqn9QVfVqtGA/E/jbKd+pEKLNdrnq2AGyi2tbHV9obqCf96Tb+P4Qrwf5fZUiLqn61OecEYYc3gn+G1Odn/hOoHXYcGx41vNwiTqRQb319/nV4Xp5jVJ1vNl7+u8uLe8QQiMPRX6kHxhyI5iC9cfh8VjRHkcr9dSYfVfsbYtUy0FiFW1ewlWGXZLJF0L4MJlMqKrK4sWLAx7Pzs5m3bp1mEw9txo7JyeH3//+97z99tvU1NSQmJh4Rp//hRdeYOLEiezbt49f/vKXzJ49m4KCAmbMmMH8+fPP6L20pksE+aqqfq2qarbalj52zXBl8a8DcoAXmxz+C1AHTFcUpfnCWyFEpzpZoXfDado5pimbw0lprdW3s078AO0/l5GGo1xl2KUfN+kTbf+faQWlZV4TXve8h7FGy7qXqdH8kHorJqP+K68hKsOzHWzOafa+9uVXE0c1bwb/nfMqvtEPnD/Jd6CiUG7U/9jUl7d9JV23MKt+/72VMsqr299NSAjRc6WkpJCVlcXrr7+O3e7fFWzRokUATJw48Uzf2hnTt29f1q5dS3l5OSdPnuT6668/Y8+dk5PD/PnziY+PZ9u2bbz44os888wz7Nmzh4EDB/LUU0+xefPmM3Y/rekSQX4nucr17xeqqjq9D6iqWgN8C4QDl7blYoqibA/0HzCkU+9aiB6q1mqnok7vFtNakF9SY0VVm3TWiR+gZfNdeikVmBTtx7sxfSz8dgcFRq3sJkqpx7DrLW2gwwYbnvKct8R+A0My9MWqABwx/Tzb4XUnCaS6wQZVJ3g/+C9cYjikH7jkbjjvGr/xZlOSZ7uxIvA1m+N0qkTYyj2PgxUHak1hu64hhOj5Zs+eTVFRER9//LHPfpvNxtKlSxk7dizDhg1r5mwt23/HHXeQlpZGcHAwvXv35o477iA7Ozvg+OLiYmbNmkVKSgphYWGMHDmy1dKUiooKHnroIYYOHUpYWBgxMTFcc801fPHFF+1/wU3ExcVxzTXXEB8ff0rXeeWVV1AUhUcffTTg8aKiIoKCghgxYoRn35IlS7BarcydO5d+/fr53NOCBQsAePnll0/pvjpTTwryM13/Hm7muPu7d/AZuBchznknKyzEUc0jpqXMMH7WapBfZK4HtJaWHvEDIDyeBlO03/jgrDsgJo31Cbd59iUdeAOcDvju/6DiGADVajhvOq7lgvQYn/OVBP0TgtiGwAH5oaIaHgp6m/4G96cLClz3N7jhn6AofuNrQ5I9205z+6YX1VjtJOE7byGsrv2fBrRXQVU99Y2ysq4Q3cXUqVOJiIjwZO3dVq1aRUlJCbNnz2723K1bt5KVlcXy5cu5+OKLmT9/PpdeeinLly8nKyuLrVu3+owvKytj7NixLFmyhMGDB3PfffcxcuRI5syZwzPPPBPwOXJzcxk9ejSPP/44SUlJzJkzh8mTJ3PgwAGuv/56XnvttVP/InSCadOmER0dzeLFi3E4/H8HLlmyBLvdzj333OPZ99VXXwEE/PTghhtu8BnTFfSkoi33X3BzM8fd+2PbcjFVVf178aFl+IGL2ndrQpx7TlRYeCRoGT81bgLg+YpLgOHNji80N2DEQR/vID9Oy+Jbo/sSWqGvWqsGR6IMuxmAnN4TMRe/QoxiIbLuJGx/Hdb9wzP2Ofut1BDOhem+P/ohyfqqt0m2wBnzQ4VV3GzYo++YtATO/1mzr6E+LAVcTX4MNQXNjgvEbLGRpPj++kq0F2NptBMefHp+VS/bnMMjq34gPiKYz+8bT0JkyGl5HiFE54mKimLKlCksXbqUvLw80tO1Sf+vvfYa0dHR3HbbbTz22GN+56mqyh133EF1dTXLly9n2rRpnmPvvfceU6ZMYfr06ezfvx+DQcsBL1iwgGPHjnHffff5BPVz587lsssuC3h/d955J7m5ubzzzjtMmTLFs7+qqooJEyYwb948br75ZlJSUjrl69FRkZGRTJ8+nRdffJHVq1dz0003eY6pqsqiRYsIDw9n+vTpnv2HDmmf6A4e7J8v7tWrFxEREeTl5WGxWAgPDz/9L6IVPSnIF0J0ISXFBdxm+N7zOLV6Twujtc46vZRyghVXRiUyxdPPPrLXYPAK8pXzfw7B2vSauLhY3nFcwxyTa1LsJw94xh109uENx4+JCQuib4LvL9zoxHQsagjhipVItRZqSyAy2WeM+fgOohXtE4a64EQiht/a4muwhff2bAfVta/UxlxvI9nTgF/TRymlrKaRjITO/1V9qKiGv368H6cKZbWNfLqviOmX9u305xHitHokpvUxXcUjzeUg22/27NksXryYJUuW8PDDD5Obm8uaNWu45557mg0uN23axMGDB7nssst8AnyAyZMn88ILL7Bx40Y2btzI+PHjsdlsvPXWW0RFRfm1yczKymLatGl+ZTu7d+9m/fr1TJo0ySfAB4iNjeXRRx/llltuYeXKldx7772n/oU4Rb/+9a958cUXeeWVV3yC/C+++ILjx48zc+ZMYmL07zGzWft/6L3PW0xMDHV1dZjN5i4R5Pekch33T09zP/Hu/a338RNCnLL4Yx8RougTwxLrc1oc799ZRy+nMSae5zv4ojs8mynRISyzX4td9f919mfbTOyYuCA9BqVJeU18ZAgHVH3yLXnb/M4PL9ji2a5NHROwRMebI6qXZzu0vriFkf6q6hv9Mvl9DKWU1ja06zptYXc4+d2K3dgceq+D3SflV6MQ3cWYMWMYMWIES5Yswel0smjRIpxOZ4ulOjt27ADg6quvDnjcvX/nzp0AHDx4EIvFwsiRIwMGtRMmTPDb5550ajabeeSRR/z+c9fkHzhwoO0v9jQaPnw448ePZ/Xq1Zw8qZdtvvrqqwDMmTPnbN1ap+hJmXz3rLjmau4Huf5trmZfCNGJhpX4TgpLbWx5QawicwMDFK8SF68g37uNJklDIE2vpkuOCqWARD5zXsxNRj0o35NwA1vztXnyI/v4V+lFh5rYqQ5mtGu6jv3EFkxDbvQcV1WVjNqdnseh513pd42mlBi9936EtaiFkf7M9TbOV3wD7T5KyWlpo/nqhmPsyfN9QyFBvhDdy+zZs5k3bx6rV6/m9ddfZ/To0YwaNarZ8e4sdK9evQIed++vqqryGd9cWU1qaqrfvvJyrXnAmjVrWLNmTbP3UlvbekvlM+Xee+/lm2++YdGiRTz66KMUFRWxatUqRo4cySWXXOIzNiYmhrKyMsxmMwkJ/ksvtZbpP9N6UpD/tevf6xRFMXh32FEUJQq4HLAA352NmxPinFK8n/6Nvu+nMxwnQVWbzYYXmuv5icEru5Nyvr6deT3E9QNzHlzzF59rpERrdeSv26/Xg/yQGJ436HWUF6T7B/mKonA0ZBjYPwHAlvOdzy/EgioLo9QD4Hqq6CHjW3nREBSrL4gVYyv1H3BoNdQWw4VTweRb/15dW0ec4vuHL00p43BtI50pu7iGV9fsJV0xY8SBESe5agpHSmupabARFRrUqc8nxGnViSUw3c306dN58MEHmTNnDvn5+Tz88MMtjncHnkVFgRMQhYWFPuPc/xYXB/5UMtB13Oc899xzzJs3rw2v4uz72c9+RkpKCosXL+bhhx8OOOHWLTMzk7KyMg4fPuw3J6GwsJC6ujrS09O7RKkOdMNyHUVRghRFGeLqi++hqupR4AugH/CbJqc9CkQAb6qqWndGblSIc5i68y2/fZFYoIWWkKVVdVxu2KfvGHiVvh0aA3O3wR9OaotQeUmK0nrlb1czedo5BbXPGBy/WMa3RUbPmAvTA2dVLMn6HPrg4l1a602Xkwd3EO8KuqsNMShJrXfPDY9LxapqbxUinLVg9QraczbCO1Pgo/+B717yO9dm9v+D2Ytyys2d+yvrm/8u4jvTbNXM8YgAACAASURBVDaG/A/rQ/4fX4XMZ33I/cSoNezNO3cDJiG6m9jYWCZNmkReXh4RERFMnTq1xfHuLP+6desCHv/6ay1XetFF2u/FIUOGEB4ezq5duzwZam+BrnPppVqX8g0bNrT1ZZx1QUFB/OpXvyI/P5+PPvqIRYsWERkZ6TdvAfSSps8++8zv2OrVq33GdAVdIshXFOUWRVGWKoqyFPiDa/dl7n2KojzpNTwNOAB8GeBS9wIlwPOKonyoKMrfFUX5Cm1F3cPAH0/fqxBCAOCw4dzznuehRdUz1o1F+wOf4lRJrjtAjKIt/qRG9tLKcrwZgyDYPzsSHWoiNEj7VfZ8483UTvuE49FZ1Nu0Cbwp0SEkR4f6nQeQmt6fPFVbwMroaIAifXKv9aj+RyovamSr9fgAMeHBFKlevZu939TsW6lvH1vnd66zxj9bZlRUbBUnWn3e9ri06B1CFd92pulKGT81bmJXnpTsCNGdLFy4kA8++IDPP/+cqKioFsdefvnlZGZmsnHjRlasWOFzbMWKFWzYsIHBgwczbtw4QAt+p02bRk1Njd/E223btvHWW/7JnKysLK644gref/99lixZEvA+9u7dS0lJScBjZ8vdd9+N0Whk7ty5HD9+nNtvvz3g13PmzJmEhITwwgsvkJOT49lfWVnp6WjUler4u0q5zkjgzib7Brj+A8gFWl0rWFXVo4qiZAH/C1wP3AgUAs8Bj6qqWtnS+UKITnDkS4wWrVSlSI1jg2MEvzBpK8U2Fh4kePCP/E4pq7UyFr37jjLwqjYF1aCV3SRHhXLCtbpucbWV7OIaz/HMVP8e+25DekWx3TmYdGOZtiNvK6RpWayoYr0zkKV34FZxTcWEBZFLPH1x/QEz50HiIK1M6chafWDpIb9zldrAH6EbzS3PZWiPhkY7fR25nhIkNSIZpU671/GGPbx3QoJ8IbqTjIwMMjIyWh+I9rvyjTfe4Nprr2Xy5Mn89Kc/ZciQIRw6dIgPP/yQqKgoli1b5mmfCfDYY4/x5Zdf8uyzz7Jt2zbGjRtHYWEh7733HjfeeCOrVq3ye563336bq6++mlmzZvH8888zZswYYmNjycvLY8+ePezbt4/NmzeTnJzsd25bzZ8/n7Iy7ff2xo0bAXjiiSdYvnw5ALfccgu33HJLm6+XkZHBT37yE8/rCVSqA9C/f3+eeOIJ5s2bR1ZWFpMnTyY4OJgVK1aQl5fHAw880Gxr0bOhSwT5qqo+AjzSxrE5eP5EBTx+EpjZGfclhOiAvf/xbH7gGEeZqgfZjuLAHRUKquq5wqhn0RnYvo87k6NCPEF+SU0D2SV6mcyg5Mhmz8tMieY95yBPL39OboEx94Cq0rd2l2dcxOAr2nQfMWFBFHpl8tXqfO2XVflRqPLKyNcUQINZK0NyMVkC1PADwbWdtyDWieOHGKxo3XrMRBEz6wt4fiQAlxn285eTge9BCNEzjBkzhq1bt7Jw4ULWrl3LRx99RGJiIlOnTuXPf/4zmZmZPuMTExP59ttvWbBgAR999BHbtm0jMzOTl156iX79+gUM8tPT09m+fTv/+te/WLlyJW+99RYOh4PU1FSGDRvGb3/7W59VZDtixYoV5Ob6JkC8V9Pt169fu4J8gLvuuotVq1aRlZXlKVkK5Le//S39+vXjySefZNmyZTidToYNG8bChQu5886m+eqzq0sE+UKIHqT0oGfzC0cW0a4SHABDeeDmVmVlZUxQjug7Bkxo11OmeJXjlNZYOeyVyR+c0nyQPzA5gt2exlvgPPk9BqCxJJsE1wd/ZjWcPkMubtN9hAYZKFESPY8dBXswjQKOBqguLD0EffTODSENZfp9KEYMqlZuFFXfvpVzW1JxfLdnuyi0PzHx/VHjB6BUHCNcsZJRt4dC8wR6xYR12nMKITqHqqqtD3JZuHAhCxcuDHgsMzOTN998s83XSk1Nbbb0prl7ioqKYsGCBSxYsKDV68+YMYMZM2a0+X4An1KZzuJuHdqWcpuJEycyceLETr+HztYlavKFED2IWe81fEJNJtupt5UMrTysla40lbuRINciWAVhgyAyqV1PmRSl1/0XVzdwxCuTf15y83WqISYj1oRh1KvBABjMJ6G6kPIfvvaM2WccRmRY21aCVRSFH4L0DJVhz3vQaPEt1XHzejMEEN6oB/n1cUM92/G2Qr8/pAcKq3l6zWGOlravDZ214AfPdl2M9uZGGXiNZ994wx5ppSmEOOfU1NTw8ssvEx8f3+oE5u5EgnwhROdpqNbKUACrGkQ50dSHpVLnmnwb1FgFdWV+p8UVbvRsFyWObffTemfyC6oaOFaqd6QZ1EImH2BQr3j2qF49+U9uQTn0iX692NEBzmre/vCLyXVqtaYGaxXsekvrrNNUiW+QH2mv8Gw70/VPDnpTSo1VX1TM7nAy4/Xvef7LbKa++h21XsdaE1KhzwUwJLveSJynz5G40rCHXSelw45bezKnQoju55NPPuGvf/0r11xzDcXFxSxYsKDLtL/sDBLkCyE6T7VeWpKvJgAK56fHckTVs/lNM9gAfSq9VpZNa70ffVPJXpn8rTkVNDq0ZTJSo0OJbqXve2aqNvnW49P5pBav9zxsSG/fm47o8BCWOa7Vd6x9FGwW/4FNvg5xDj3IN/XVy3j6KKU+C2IdKa2luFp7XFJj5ZX1R32uk1dpwekMHJwmWPSxURkXahv9xuFUtK/RUMMJcnOOBDr1nGK1O5j8ymYu/fuXbMupaP0EIUS39J///IeHH36YEydO8NBDD3H//fef7VvqVBLkC9GKp744xC9e3sTOE9KcqVVmfZJogZqA0aAwtFe0b5Bf1qSzTNUJUmxaiU+DGkRQ//Z3JvDO5O8vrPZst5bFBxjaK4odTr0unzp98ulKxzjizxvTrnuJDQviP44rPSVANOrzAzY6husDvTrsNNqdxKOXyYT2vRiH69dzslJFeaWeXW+6Uu1rG45RUFVPg83B7GXbGPePr5m+ZItfFrqx0UYfh15K1WuQNuGWkEhsafqbivjCjTiaeZNwrlh3qJQtxysorrby+rc5Z/t2hBCnydKlS1FVlaKiIh577DGfzkI9Qc96NUJ0sqOltfzrqyNszankfz8O3ONdePGqxy9QE+kVE0p8RLBPXb5f+8ijev37FudQUuLbvxx4crSeyfeObQentNw3GrQWmz5BvstKxzh+b7uHEWntu5+YsCCqieRDx+V+x950XEej6lqkqzpPK28CzJZGkryCfCU6jUqT3l7OUnLMs70v3zfIN9gsrPrP6zz6+ges2a+14fz2SDk55b6fHuQf3+/pj19GHOGx+vWDh1zn2R6j7mp3rX9Pk19Z79kuNNe3MFIIIbouCfKFaEGRucGzvSfPjKWx7fXP56QqryCfBDLiw4kJCyK7hXId9cRmz/a3zuGkxgReuKolKVGBz2mpfaZb75hQbKHxHHKme/a9Z5/A72xzyOqfREZC++ozo8O00pc3vUt2ABtGNjhHcFztpe8s07oN1VSVEKJo31u1hENwONWhvT3DGstzPNt7vYL8/kohnwY/xJz8h/h7wSy2hfyal4Ke4RLlgM/kY4DyY76ddbwp5+mTb8cZ9rIv79wuUSmu0X/uy2obz+KdCCFEx0mQL0QLahr0oN7hVNktkxJb5lWuk68megX5egDdNJPvOLHVs30waDjhwe3v7BsdZiLY5P/rbFAbMvmKojAkNYo/2e5ig+N8HrdN4Q/2X+HEwB2X9Wv3vSREaGU6+9V+5EZc4Nm/1ZGJhdCAb3jqKwo8u8zGOG1fuD5OqdL6QdsdTg64ypEuVg6yKvQR+hn0lXITlWpuMG5lcfCT5BR4rbYLNBb6d9bxSDmf2qAEAOKVWtT8XZzLSqr1ORDltdYWRgohRPudqUn9EuQL0YK6Jp1LdkhdfsuaBPl9XEF+npqEVXVNgK0thnrX19FSgalSm+jZqBqpihnSoadVFIWUaP82l+e1IZMPMCQ1mq3qEKbbFvCy42ZUDCRHhXDd8JR238uFfWI920vQF2P50KmV7/jMTyjRFgezVukBeY1JC7btMfoqltFVB+C7l7G8NZ3neJLXgp7krZDHiFK1ev8GNYgqNcIzPkqphxz9ExKAkErvzjrDfG9aUShIuNTzMKJke9tebA9VXK1n8usaHdQ3Os7i3ZzbFNfK106n8yzfiRCdxx3kK21c2b2jJMgXogVN2xNKp41WNJl4687kOzFwVNXLTyh1LYqVrweT+9W+xMe2vx7fLblJyU5qdCgxYS131nHLTPXP+E+9JIMgY/t/RV7UNw6jQfvFvaxiCLWT3+fjYU/yH8eVABx2+n+q4TAXeXZZgrUg3xDX17NvTOXH8NmDRB/7mB8bt3GtcQfBaN+bDcHxPBj9D/599XqKBv/Sc05iud6xCCChzquzTt8LaKoh6ULPdmy1fwekc0mRV5APUCbZ/LMmJER7815XV9fKSCG6D/f3s/v7+3SRIF+IFjQN8necqGq2PeE5z+nwaaFZqCaQFhfmCbR9ylTyvtf+Pfm9Z9dO5yB6daAe361pJr8tnXXchvbyDfKNBoXbx2Q0M7plkSEmzu8dDWiTgLdwPh9ZR6G6ft36li5pwbRaq5fcWEO1hcBCEn3r5gNKzCT011/z3AOzuPvKQYQNv95zaLBll+d71d7YQJpD/3/T291Zx4vSSw/8Uy3ZrT93D+ZdrgMS5J9NUVHaz2ZRURE1NTU4nU5Zv0B0S6qq4nQ6qampoahIS+y4v79Pl/YXvwpxDmka5JvrbRwrq21xFdVzVk0RqFpZQ6kajZVgUqNDiXDV2H/rHM5PjZu0sQc+hrG/hTy9Hn+ncxDnxYR1+OmbZvIHteP/UdMuPD8enuLTlrO9Lukfz25Xq8vvj1f4tPXMUVOxqUZthV/zSbDWYKzTg3x7uNb1JmHgKOrUECIULcC0Jo1gWf04tlWE4kTh3h+PZNS4G8Gof1oRPfgKHCgYURlKDoXFhaT16k3hsR/o415RmCR6x8T73XNYuh7kp9lPgL0RTMEd/hq0ylIBhbuh7+Wn93naqdZq9/u5L5fJt2dNfHw8dXV1WCwW8vLyWj9BiG4iPDyc+Hj/38WdSTL5QrSgaU0+wPZcqcsHwNYA2WuhtkR77FOqk4hBgaSoEKJCTSgKrHGMxq66fuWc3ALVBT7lOjvUQW1qedmc5FPI5EeFBtHPq4vO9Ev7dfg+AC7pn+DZXnugmJMVehtGGyZy1FR9cNlhgur1VYCdEdo8gISEJJ7q/TR/t03lJutCFqa9zFPmK/nceTFrnFn0GX29T4APoITFcjxIm1RrUFQq9q8DoCJH76xTHDqAQBISkjjh1D5FCMLuv55BUw4brPsHfPIA1JW3PLYJ1dZAyXMT4M1byHm1ay0hX9KkVAckk382GQwG+vTpQ1JSEqGhoae9hlmI00lRFEJDQ0lKSqJPnz6nvS+/ZPKFaEFtg3+Qvy2nkskXt62UY1++meXf5XL9+alMyExu/YTu5OP7YPc7ENMHfvN9kx75CSRGhnhq2qNCTFQ2RLPFOZTLjT8AKmx4GqxahrtUjSFPTfQrm2mPppn8we0I8gH+cMMQ/r76INcMSeHSAaeWXbm4X5xn+2ipfy1xtprGIFzlMyUHCbXqC3AZovTJvldd/WOmL9audeD7E55FqnrFhJIYGbiWMz82i/Nccx6UnA3A7TQW7PMc9+us4xIbHsRW+pGBdi+NebsJTh3R/Iv84s+w5SXPa+DOVWAwNj/ey84v3+Miq9YxqFfJenA6oYssQlNc7R/Ql9dJJv9sMhgMJCYmkpiYeLZvRYhupWv8VhWii2r6sT3A9jZ22LE5nNy9bBvvbj3J3Ld39qwe+3Yr7Htf2zafhJyNPkF+vpro0+8+JlzLOH/mvFi/xvbXPZs7necREWyiT1z7etJ7a1qT396SquvP78X6313FwxOHnXK2MDY8mCEBJvPGhrvnJ3jV5Rf/QIRNz4SbYvQ++uPOS/R0CPJehfb8FhbosqaN9WzHl2qTb8Mr9IXcDClDA56nKAongvQsvzVvd8BxAOxdoQf4ALkbYeMzzY/3vj+7g7qtyz2PQ7DhqClq4Ywzq6TGP5NfWiOZfCFE9yNBvhAtCBTkHyuto6INmb0vD5RQ4FpMq9Zq50SFpZUzupH8HeDwCnyOr/cr1/GuaXdPvv3c4RXkO/Wv7Q7nIIb0isZg6Hhw7T1pNyU6pM2ddU6XS/r7fxowfpBWDnPQ2UffuXURSTa9hWZYvB7kK4rCjLH9/K7T0iq8kYPHecqiejccRT3wMUNrv9OP972o2XOLw/Usv1q0t5lBP8Cq3/rv//oxyNvW7LXd/r1+F5fafVt01hQdafW8M6U4QLmOZPKFEN2RBPlCtMC7Jj/Ea7GlHW2oy3/7+xM+jwuq6psZ2Q3lfuv7uEmQn68m+ATd7oC7hDjMiaP8LrfTOShg5rs9BiZFcuXgJIwGhbvHDzyla3WGQEH+VUO0IP8r5yhycLUUdVgJxgaATTUSEetb1vWzi9KIDvWtrGwpyO+flsoeVc/IqyvuwoD2KcAGdRSDR1zS7LnVXusUhJbv19oDeWuohvd+CTbXG9aE8yDddT3VAStngbWm2etX1jVycsNybdKxl/riY82ec6YFKtcpk0y+EKIbkiBfiBbUeAX5lw7QJ1O2VrJzssLChuxSn335Vf4Zwm4rd5Pv46K92n8uTTP50aF6Vj0v9VqfU+2qgT1qf4b2ij6lW1IUhaUzL2bPX65j1rg2tJ88zVrK5FsJZqZ1PmpYnM/xMmKIifAtOwoPNjHlEt85IC2V66RGh7JdOd/z2OD6xKVGDWND5h8JbWFFYUNcX6pVrWQq2Gb2aYkKwNpHoMIVkAdFwOTl8PNFEOL6f1eZo821aMZzX2Zzo3Od335b+fFmzznTAmfyJcgXQnQ/EuQL0QLvTP74wUme7dY67Lzz/Qm/JGiPyeQ77Fp3nKa8AsICNYHUAOU6AIfjJ/icdlDNoJ7QU5p066YoChEhXaOfQHJUKAMS9VVo+8SHkRAZQkKE1i7yuJpK5U1LUA3616ZEjQ1YZjT90r6eBbb6J0aQFNX8AiqKopAXm+W3/2/2aVw1pvlSHYCk6FD2q/oiXN5v3MjbBtuW6I8nPgvJQyGuL1z/d31/zsaA166yNPLdlk2MNATI2led8N93ljTtkQ9QJi00hRDdkAT5QrTAu7vO5efpmfzs4uZLEmwOJ//e5t/POb+yhwT5RXugsbbZw1Y1iHKifSfeegWuBUoKpOo92Xc6zwMgM/XUMvldkXc2f3gvLfue7PXmJy/mIqw3POV5vIfBhJj8O9T0iQ/n+Smj+MmIXjz5C//Vapuy9b6ERlW/zgbH+XwTcQNjAny64C0pKoQDTq9PDdxBvsMOH90HrrIfddB1bI/+EQ/8ezd3L9vG3jCvNxWlB/3LfICDRTVMVL7xPK41xnq2g2pO+o0/W4oDTLyttDRidzjPwt0IIUTHSZAvRDOcTpW6Rr12+LykSE9dfqXFhrneFvC8NfuLPX21vZu09JhMvnepTkwfv8P5agKg+AT50V5BfnWDDUZN9zxe6xxNRnw4kV0kA9+ZbhihT6J11+Mne2XhS6qtlA+6jdsbF/BX2zTeDL292Wv95IJevDjtIkb3bb29Z9/URFY7xwBgVsN5yD6bn16U3urE5qTIkMCZ/C0vQbG27TCGcnfZZH7+8mZW7sjji/3FTFx6BIvR9UmMtdq/zAfIKa3hVqOe5d+R/kvPdnid//izQVVVn3Id98+7qkKFRbL5Qojupef9VRWik1hseoAfHmzEZDSQER9OdomWxT5RbmFEupad3ZNXxRubcjlSUsPhYj3LPfGC3qzaXQD00CD/st/Amr/4dNrJV7Ve1s2V61TX2+DiX7GlyMmiLcWsd17IjzuhVKcrunJwEktmZFFndXCjK+D3bvVZXNNAL0som5zns4nzGRLeOV+HQSmRzLPdxeeOLHY6B1FIAreOSmv1vOToEPY7mwT5hbvha70c58mGW1hT13RlYoV9tt5cYnAtoFVyEGLSfUbYcjfTW6kAoN4Uw4kBUyD3BQAircXapwXGzv2TVNNgI8hoIDSobf37qxvsNNi0jH14sJG02DDPz3tZTaPfWgxCCNGVSSZfiGZ4l+q467z7Jug11jnl2iJHNoeTu5ZuY+WOPHbnmal3vTlQFLjvR3pLwqLqhq79kf/eFfDO7VorxBNbtKCrKacTTuhB/mblQhrTLvYZUqAmEhVi8qmN9w7yzfU2MBhYYxzPGqdW5jGkB5bquF09JIWJF/b21NR7T0gurrb69GDvrLafg5KjqCWcT52XUkgCw3tHt2k14aTIEI6oadjcpT6Vx+G1a8Cmfa+Xhg3gNceNAASbDPxidDo/Gqp1A8p2egX1pQf8rp2av8azXZx+HVEx8RSrWsmOEQdU+5e4nYoN2aWM+t81jPvHVwF73wfivdptSrTvgmMy+VYI0d1IkC9EM7x75Ee5AtZ+CfpiTe6+9zlldT7L3g9U8vlj6H9YfFEOA+KCPYGCU4XirtqKr74KPvw1HPoE1v8DllwHTwzwnWgJWvBWr006rjbGMfWDCpbk+3Z+KVATSInxzXhGNw3ygQNF1Z59p9pZpzvxrskvqW5gy/EKz+PMU2wj6pYWG0ZokP7rvS1ZfNBq8q0Ec0Ttre90usrSgsJZFP8AdtcHwI//bARP/OJCFt15MY/dOoLD3gt8lTQJ8lWVEdUb9EtmTiQhIoSTqle70Mrctr24Nvq/r49id6qU1Tby8e7C1k/At33mzaYt3G79N9Fob3C8f8aFEKI7kCBfiGZ4B/l6Jl8P8nPKtD/+3uU5l/eN4Iv4J5nNB1z9wwJ49nweCF5JLNpE3S47+bZkPzia1Bw3mOHT30N1gb7Pq1RnY+MgQOFzS6bPaQX49sgH/0y+qqocKNQnL3dGZ53uwqcmv8bKt0fKPI/HnZfYKc9hMCiM6a9NFA8PNnLzhb1bOUMTGmQkKtTEAe+6fIDeo+Ceb/iqRp+D4V6JF2DMgPgWg3xnwW5S1RIAqtVwEkb8iPiIYPJUr9db1XlBfmVdI9/n6G+ejpQ2P1Hcm7sef7iSw/1VjzGxfDG/MX0IQLl02BFCdDMS5AvRDO/2mZEBynVyy7VM/mGvTju3h23GWFesX6S2mKmWt1kZ/AgGnJ1fl+90wO73YNvr2nZHlR7St2P64Ah19W932mDTC/oxr0WwtjiHArBHHUCjUf+65DfpkQ9Na/LtlNZYPasGRwQb6RMXzrnC+2tzuLiGvflmAAwKXDowobnT2u2fky7gdz/O5M1ZY3w+PWhNclQIHzjG4VQVVMUA438Hs9bgiD/P8z0PWitPt8TIEA77lOsc0kq7XGp3f+jZ3mgYTUxkBImRwactk//VwRLS1CJeCXqahabFHC02t+k8d2ediwyHPftGGbTVeEslky+E6GYkyBfC5b2tJ3h89UFP8FkToCa/n3eQX6Fl8rNL3EG+yriy/+gXNOmTEwcaCjlPySe/M4P8unJY/nP44G74+D7Y/ELr5zSnTA9qyjOnMtdyt35s++vac5UfhcNfeHZ/79RWR3VgZEv4BEDr5LLXOcBn0i34Z/IPFOlvjDJTo1rt+tKTeE+8zaus93SbvLBPrM+iYaf+PKH85qrzGN03rvXBXpKiQtjgvIDxjc/y/a2b4Oo/gTGIvEoLja45JclRIUR53Wt0qIkaUxzlqusTGVsdmPW2mKZDH3u290VfCUBcRDAnVX3tCWcnBvkb92bzRtDj/Ni4jV+avuS84i9aPwm9R36GUuLZ11spBySTL4TofiTIFwLYdKSMB1fu5eX1R/m/r7XMnXcmPypUC/J7x4ZicgWkxdVWLI12DrkC1vGGPcTUHtVOCI6E/7cf+l/pucZQJbdTMvnltVb++MJSyp4eA8e+1g989zI4Arf1bFXpQc/m83sMrG68QO+yYrPApudg5SzPBMzDzjQOqnrpxsPWX7Ksz/9yU+PfqCHcvyY/VJ+EW91gY/fJKs/jc6keH7SstxLgPU1nleqcqiRXB5k8NYl8u15Gday0zrPtncUHbQGupMgQsgOV7JRlE27OBqBeDaay1xUABBkNVATpLUYdFZ2z6m19QyM/O/4X+hv0T9QybfuprGs9SHeX63gH+alUYMQhNflCiG5HgnwhgM9+KPJsH3QF7e6a/CHKCa6oXQ3WGkxGA+lxeob+aEkdOa4ShlnG1foFR02H8HjoM8aza5ihc4L8zz94g4dLHyDRUep7oKYADn7SsYuW6pn8jWatz/2L9p/qx799Dgp2AuBQTNxvuxfV69fH8WqVd2ov4qSaAkCvJpl8k9HgKXlSVXhtg77q6QWuNqTniiCjwbPqrbfLu0qQ79VRxrvzz1GvuvYBSZE0lRjVtGTHFeQf+Miz6xvnBaQl6yVJdeH6eKWTVr0t+uAPXKHs9tk3wnC8TXX57iC/j6L/bJkUJylUSiZfCNHtSJAvznmqqrLukP5HvdyV8au12omlhveD/8LPTj4On/4O8K3L//pQCQ6nynlKHlca97j2KjDmHm0zdYRn7DAlN2C5znfHyrnqyXXMe2cnDqf/SqHe7Mc38rOjfyRE0d6AmNVwdoRcog/YuqjNr9vDWuNpX2hTjeS6AvXVzks45kz1G/5u9Ax+UPv77T9QqHfLSY3xrwH3zua7S6HSYsO4+cK2dX7pSZr2Ww8LMjIqI7aZ0WdWcnTgIP9YmZ7JH5jkm8kHSIoMbjL51vXpkFeQ/5njYvp5fQpgj+yNXdX+DJksJWA7xTfBBz+l/6HFfruHKbkcLaps9XStu45KH69MPkBvpUwy+UKIbkeCfHHOyym3eNphglYOA1qQP8yQS7ji+uO+732w1vq00VyzXysJuMs7iz/kJxDvCoK9g3xDLvmVFlTVN5Bf/emHvFg9j8t/eIS1oUwuDwAAIABJREFU+1pY+bNoL7w9hVC0NyEnnEnc1Pg3fm2+AweuvuY5G6B4f7tev3c9fo6aih0T6XFhODHwkuNmn6GNfcfzcMkEz+OfXNCLQJpOvAXfNppuf75pKGHBbVuoqCfxrssHuKR/PCGmrvF18MnkewW2x73KdQYECvIDZfJLD0PBDkB7A/mlc5TPvJa4yDAKVa/JxqeYzXd6tXxd6xhFuVGr+Q9RbJhz97V4rqqqlNQ0EEcNUYrvm400pYzy2ka/n10hhOjKJMgX57x1h3yzdhV1jTidKnVWOwno2WkcVjj6JRleQcrefDPR1PIz40Z93GW/0bdj+6IGa3XNCUoNkY1lVHtN6FVVlZvLXmOYIZfJpnWUf/d24JusLoA3f4bJppUSlaoxzA97lJNqCsXE85ljtD62vdl8r8462WoaabFhPDHpQgA+dIwjz+BqvxiewCcD/oLDlXnN6hvHdcNS/C4XZFQClqM0XejpikGJ/Hi4/ycF54KmmfyuUo8PWrDuVlLtncn3KtdJDFCuExnim8kvPQSrf+d5uME5gmoifer5EyJ9J9+eapBvK9AD+UUhd9CYMtLz2Fi8O9ApHhV1jdgcqk89vluaUk6jw+nzsyuEEF2dBPninLf+sG9tu92pUt1go7bBToJS7Tv44Cc+mXyAnxs3EKq4JrymXgAZl+kHDQaU1PM9D4c2qcsvq6xkhKpn0rMKluMItCru1kVQp/cZv6PxD/xh2o38/CItqHrTcZ0+dve7kL8dKnPaVv7gFeQfUXszMDmSEa46eRsmpjQswHb9P+Geb1iZrbfpvHFEL0b28S8xSY4KDdgtxzvINxkU/jJxOEqgGajngKaZ/K5Sjw9NynW8PtVyLxQVZFR85qW4JUWFUEUUpaprjoW9AY6tA8ChKjxpv43kqBCflZDjI5q20czp+I03mAmxaIteNapGBg8fRVD6RfpzmX9o8fTiAJ113NIUbS2DcinZEUJ0IxLki3Nag83B5qPlfvvLahuptdqJbxrkH/6MvrHeWWqV241f6Q+zZuLXOqVJXb53kF+yfwPBih44DyaX7O8+wo9XIL7QPo3auCGM6hPLgzdkoijwnXMoh9ylErY6eO1qeO5CeGIQHP3K/3o+L1Z/k3HEmU5abBiRISYy4rU3M3nOeA5nTMEcnMJ3x/Sv1Q0jUsmIDyc23DdDH6geH6B3rB4YzhrX32cxpXONd9/6hIhghnTSSredIdDEW+9Snb4JEZiM/n863Cs7+5TsuLzpuJb9aj+fenyA+IiQJpl8/zaa9kBvegPxWoDrqJrGuMG9iBl4sWffAFu2T8esptw98r0n3br1dgX5ZTL5VgjRjUiQL85p3x0rx2r3DyIq6hqpa7STSJMgv8FMRs0OTxyfpRxikEGro1eDI2HEL/yfpGldvleQ7zj6jd/w4C0v+l/DnOfZPOJMY+IFvVEUheSoUC7pFw8ovOH4sf95jTWw+f/893vzap95RO3tydJ6r0J7oLCGDdml2F0Tg0ekxdArJgxFUbgg3Teb37RHvttdl/fnikGJ/PyidO770eCW76mHy/QK6idkJnepdQLiwoMxuu7HXG+jweZoUqrjX48PXkG+6hvk1wfF8bRd+7non+B7bkKTXvlU5mhzSvathLpyXvvmGMP/8jkPvb+HVpXoc1EOqelkJIT7ZPKHKic4VlwV6ExUVeWt77Q3GE0n3YLeK18m3wohuhMJ8sU5rWmpjlt5rZXaBjvxSo3fseDs1fSO0QLh2016llwZMQlCAmRkW+iwE1OyxW/4gOotqEV7ffapVfrCQvlqIjeP7O15fJNr8uu7jqv4MOI26HMpJA3RTy5uYcKhrcFTIuFUFY6qvUmLdQf5ev/6A4XVfHVQD36uHqKXWFzYpAVmoEm3ABkJ4bw5awxP3XbhOTnZ1ltW3zj+cMMQplzchwdvyDzbt+PDYFBIjNQ/rSqrtXLUu0d+gEm3oNfyNw3yP+/9a6rRzvHP5AeT5x3kH/gIXroMVtyF+vI43lu7CavdyTvfn/S0t2yO6jXh/LCzj/bJUUQCZSZt3kiIYqP02M6A5y7fcoK1B7Tv7+bLdVQp1xFCdCsS5Itz2nqv1pnedcZldVq5ToJi9j/p4Cf0jQ8jhlp+YvAK0kfPDPwkSUNxKlpQ208ppqyiQtvfWEdanR6YbHIM82zXfP2cfn6jBaVeyyTaVCOxSWlkpuhvJn58fiqKAk4M3F9xCyW3/RfmfAsmV7BdU6itWBtI+RFQtU8yTqpJWAkmLc4/yP+hwOzTZtQ3yPfN5PdqplxH6BRFYc6VA3n85xf4TcLtCrzvqbTGyjGvHvMDA0y6BTxvDHY4B+k70y/hQ6e+IFzTRbS0ibfJBKLUFPAyfyMW7Y12brkl4Dg3e9H/Z+++4+Q6q4OP/55pO7uzvXetVr3aqpYtdwtXiqnBQCjBb4BAiCnhDZBQXmJCC9UQh2I6SbAJxmDcMDaWuyRLsiSrS6vtvfcpz/vHnbllZla7K81Ku9rz/Xz00e1zx9bunDn3POexau5PeWrM2YO7sleY28frE4P8I20D/OsfrJ/DlendCcdkqlGyGaJDynWEEHOIBPli3qrvGjZ7f/u9Lm5abXV66RocM2rysWfyoyUVA81szajnje7tpEUH3LYGlkP5xSTl9TOavQgAl9L4OqPlMQ0v4MGoxz8UqeK+vPeapwSO/Bb6jUGE9lKdFp3PTRdVOgasWiU7xkRTj+xvBbdnatn8TvugW6NfvZnJL7WC/BdOdtMdnT+gMDONNRVW9n5tVVwmX4L8Oc/eYccI8k/fPhMgM82D3+visK7m48H3Mb7xffDWX3Ky23pylRDkB9JoJ5fjEVsrVn8uuIwAfbGrmXt8XyWdURp7ThPka42y1eT3Zy82l0PFF1mX7nQ+IRsLhfnwf+02S/ZWlaSTG7RmyiV3gblYqTolky+EmFMkyBfz1vMnrez2ltoCynKsTH730DhDY2EK7Zn8Ja8yF99b93E+6bHaXbYsvu20r6VtHXby+o0gf/jIX8xtu9RKLr3yBnZGjFp1tw7ByWi9fp9VqtNMYUKgBM5+9Q/ui345sL0mbRN0Folrn+lxKbPcpjIv3TFLbcw1y4ocNeTFWX7KbYH9RDX5Yu6wD7599JU2Tnbag/zkmXyllFmXf1/4Kpq2fJZxfyENtjkoFsR1psoLeAHFW8f/hU+E3kfkvY/DJ07AG/6TSPRL9XrXMf7dezeNPafpFDXYjmfMmOxqUPtx2YLz9BqrvWzp4EHHab/b02zOcO3zuPjOLcWo6JMtssqg0HoqUa66pCZfCDGnSJAv5i178LG6PIcCWx1yx8AYY2Oj5CjjGK1ccPHbzf3+UD/eaFecQe3Hv/6vTvtaaZVWlr9y/BjBcITQCWvQbX32Bq5bUcKOiJV9H2qJZvz7nPX4BQFn+0WAG6MlOwAvnuw2uqKU2IP8CTL5tiD/uC6nNMdvDrp0uVTSri/2Up2Y2zZXA0YQl6ytpphbLqnNN5fv29XISND4t56b4SU/yRwIMfYnAJ2DYzT0DBObxLk8x4/f6xyLkeZxk5XmoYNcfh26ir78teByw+o38r20283jbna/yEjLYSbUbn2JPaIrKc+zvkyULNtiLi8M1zE+ZgXqz9s6a/3d1YuoddvG6OTVQI41viA2IZYQQswVEuSLecueGazMSzezkAANPcPk2Up1VHo+LL0BCp2DJDt0Np8LvZuF5cnrimM85WvN5RWqnuNN7WR2Wh1DRsq2kB/wESmwMof9jdE6YVu5TpMuSBpkFWf52RQt2YloePhA69SCfFv7zKPR9pl29rp8MHqkX74ksaf7h65dzBMfv5pHP3IlPo/8WpnrXndxBa+9qDxh+0SddWIK49pvHmqxfoYWTdAyNd/25borWhLWNxLka33X8ETYKrUp6nh24he2leocjlQ5niwF8kpowZr5tuWYVZe/q77HXL5yaZGzT39ckF+uOiWTL4SYU+TTWMxbTY4gP8ORyT/VOeycCCtQBN50+Nsn4L2PMf7+57na+ws2jd1N04LXJ2QoE9g67KxQp+h6+N9waaNn98FIFeUVRjChbOUBab0njAVHZ50iR+cTu1vWWCU7jx5ohZJV1s72QxCO6xEeDkHnUXP1uC43B93GLC9zZvI3L8wny+/siw9GqcbCwgBpnvndNedC4XYp/v0tF7FthfPL60SlOjHxmfwDzVa526rynGSnOL60xsZ9vNxotLp8MmI9AVs8sGPiF3a0z6xyzMkA0JhufTkfPPqseX+xwbw+j4tV5dlJgvxqc7VCdUkmXwgxp0iQL+Yt+0C+irx0RxnMwFjcbLeBaPbaF4CqzfhKV/DD/3M1n3vNSr711gkG3NoFChlNN1r5+VWQrc0/MXc9H1nJ0hIjeIoUWAMGs4dPQSSCttfk6wLyJiiXuH5ViXXNE10MuLIgK5qNDY8ZnXTs2vZDJDpwWOcxQAaVk2Tyr11egpgfvG4Xd71tPZctKjC3ra/OO+058Zn8A83Wz9Cq8uxkpzh+7rqHjEz57nojyH86Yj2NWhfeRyg4QZDd5gzyy3Kd40K6C626/IzjfwDgpVNWFn9tRY7xBfU0mfwK1cnAWIjRoDV5nRBCzGYS5It5KRiO0Grru12e6ycvbubWfJIE+TaLi7N499aFjtlLT8d71ccIJ/mRez6ygiXFRsY8K7eITm0EQ57IGPQ1ELFl8vt8pXiTzDYKUJaTbgZSwbDmqSOdcYNv40p2XrnfXHwhYrQZTMjkl2Y5JvBNVo8vLlx+r5sfvHMjd2xbwh3blvDmjYmz2doVxfXXd2byJwry7ecYQfzuaBnNcV1OszbK0LLUCF1Hnku8QCTimNDtSJKys8z1byaijX/ICwZeQvc1Okp1NiyIfnmxB/m5CxLKdcAqKRJCiNlOgnwxL7X2jZoDAouz0kjzuPG4XY5Av9Ceyc9IDPKny73lfdy1+j6+G3otHdFAvk3nstN9sRmUFGWlcULb2gl2HsE10GyujgcS66Tttq2wMu1/OtjmLNmxB/laG7OKRv0+fCkAFbnO7icZPg9v2VAFwE2rS5N29hEXtkCahzu2LeWObUsn/IIZYy/XOdDcbwbtAZ+bmoLk/3bsNfndQ+NordndEJuZVrHTZdXljx9+PPECvacgaDyV69DZdJFDaVwb1w2rV/I8xhdeF5rO537lyOSviz2h6D1lnZRXA9nloIz3XKJ68RGkc0Dq8oUQc4PnfN+AEOdDg61Uxz4JVkFmGj3DRglLfnxNfgpsu2wjt+wc5ZuhN7FWHeeYrmBBpdWSsjAzjeORcja7op1E6rajIkYtfafOJpCZZEZdm1etLOFbjxt19n8+1E741lWYVfL2NppNL0FvPQADZPBUxBgYXJ6b+FTiy29ay8euX+oI4IRIxl6us6/JyuKvKMt2tF21K4irya/rGqY3+jOYk+6lu/RyaHkCgPSGaEeqxl3w5y8YgXh+rXn+kUgVhZlpCWND/F43R0tu5rL2aJ/8l3/Ny/3GOJk0xtlQ6oaRXhiJBv4eP2SWgMtltNLsbwKgVHXTNSRBvhBibpAgX8xL8YNuYwoCPmKV6wWOch2rLvlsrCrPYXlpFodaB9iljcGAi21dRwozfTxmz+Qf/7O52DxBZx3n9bMpzfbT2j9K30iQA+EqzL4+rbZMvi2L/0h4E+MYTzDiByzGTLUkScxv9i+C9rkVJirVAefA266hcbNUB2BddS5DRZdBdOqH/J6XjUHkv3yjFZDbHNGVSb+oAuSufwOjD30dvwpSNHyUmnAd2WqYH6R9g9y7BiC7wnbwAiPAB8ipMoP8CtVJ54CU6wgh5gYp1xHzkr19pr0O3Z6JTOiukyJv2uCsa15aYmXnC+PLdVqtGTqbdOGEnXVilFJcZ+uI8ofmDHBH39NAMwx3GzXMB35rHvP7sNFHvDAzbfIuQUKchv3nx26izjpgPD2L6R4aMwfdAqyryiO/uJIDEWNyKxdh+Olrkgb4AId0NWUTzLh85Zpa/hTZaK7/X89/8xPfl8mNtcqNBvKA8YQgJm7wbYe00RRCzBES5It5qanX2SOfcAi2f513d3+DAowyg4IU1+THvO7iCnPCKYAltkx+VpqHBldFstNo1oWTZvIBtq206vIfPdiFLrYm2KJtPzQ8bwT8QDAtj2ciRt1+/KBbIaYrkOYhw5f4RXHlaTL59nKdgy0DPLS/xVxfV51LZV462yNWC1qG2o2/lQtqrzE3R7RiZ2TphE+j8gI+DhTeYK5f695DQE0QsFduspbtg2+RNppCiLlDgnwxLznaZ+amwzPfgMc/z6auB/iY514gvrtO6jL5RVlpvGatka3PTPNYnT0wMvGjgSqCOjFQatKF5CeZ7TbepbUFZqBV1zXMQI4tyG/cAfvutVZLtxGKVu3Ft88U4kzEZ/O9buV4WhUvvk9+bLCuS8FFVblU5WXwtD3Ij7n6k/DO++HvXuCJ0vfygeAdHNcVlOdM/O+46OKb6dbOXv+h9EJ433a4/XG46Stwy9dh6z9YB+RWmYsVMiGWEGIOkZp8MS/ZM/m1oRPw5JfM9Y3RQa9J++SnyJ2vX8OVS4tYU5FDboYzO5+XlcGpkRIWq2bH9iZdwNopZPL9XjdXLCnkkQNtAOwLVbI1tvPx/+c4dnf2deayZPJFKhRlpVHfbX2JXlKcddpZkAsyffjcLsbDEXObx6X48HVLyEn34ve62KmXMaa9pCljQC41V8AVHzOWi5fzy/S38aeI8e99okw+wHWrK/nDY5fyTs9jAHTpbHLf9XsoXWkcULkx8aQcK8ivVu08IANvhRBzhGTyxbwTCkdo6TV65PsIUvnkHRCxZoOtVS1kMUy2Mr4IRJQb/LkpvYdAmoc3rK9kSZIMZ2FmXF1+VNMUy3UArrO10vzL0ILkB2WWsBMryx/fW1yIMxE/buR0g24B0jxuPnHjMmoKMrh5TSnf/KuL2fUvr+LD1y0x9+dlZ/Pr8FUAhDLL0W/4PnubBuiKZtVb+qwv7fETYdktKAjwYO7b2RNZxJ5ILV8t/QruWIA/kSJrttzlrno6+yXIF0LMDZLJF/NO28AYoWiT/E+n/y+ujoOO/R4V4RKXtS3oyyPNde6+Dxu98suBXY7tzbqQgkkG3sastM1U++ehGj513WeMwbb9LTDcCS4vXPsvNOy26oslyBepEF+us7pi4kG3MbdfUcvtV9ROuL8yL53/1/dOfhu+nE+85VYe397LD7bvpiI3nd99aCvNtidzk/073rRmJbc+8QUAPrJk6aT3Ru4CIr4sXOMD5KlBPEPNk58jhBCzgAT5Yt6Jtc9cqhr4a/2AtcOfA6PGoNvLXVZXm1B6AeeyQ3xhZhrH4zL5I9pHN1kUTKEmH2BBgdUWtL5rmPDWj+KOlTcEozP9ev00PfGkeZyU64hUiJ9PYbJM/lRU5mWwo87DS3op2xvGuOeZOsAou/veE8fNuS08LjVhh5+Yv72qlsNtA2gN795aM/mLKwWla6D+WQDKRo8SjmjH4HkhhJiNpFxHzDuxQbdXufbiItrMu+YK2PJB85jLXVZP+XB6anrkT1Vhpo8TEWeQ36wLAEVewJv8pDhZfq9ZNjEejtDaP2rt9PrB60dr7cyASpAvUsAeZCtlTIR1tqps/zZ/sP0k4YjVhP9nz9WZy6U5/kmD72y/lx+8cyM/fNdGctKn9vPkKjNnm2Alp+gZlg47QojZT4J8Me/EMvmL7ANbl7/ayNZFLXbZ9qWws85UFGalcVyXO7Y16UKy0jwJM3mezoKCgLlc1zmUsL9raJzRoDHYMcvvIds/tYBHiNOxZ/IXFgQIpJ39A2P7hHXjoYhjX8gW8J+us85ZKbUF+a5T0mFHCDEnSJAv5p3YRFiL7IF84RIoXZ30eFdmajvrTKYwM41eshyt/pp0IflTrMePsZfs1HUlBvn2Dij2IEqIs7G+Oo+0aDed61eVpuSalfmJwXuyfvwTzXZ71mwJgJWqTnrlCyHmBAnyxbzT2GsEt45MfuFSo1WeP3GQoCerOGHbTIqVO5ywZfOn01knpsaWyT/VNZyw357dX1goQb5IjaKsNB788BXc/Y713LFtSUquWZXkS+jX3nwRpdnOoL5spgaPFy0355OodnXQ290xM68jhBApJEG+mHeaekbIo598NWhs8KRDdoVRQFySmM33ZZ/bIL8oGuTvj9SY247qyikPuo2pKTx9uY59m/0LgRBna3FxJjeuLsPvnXp52emU5vixl9ovL83ixlWl3H7FQsdxp+uRf1Y8PjrSa6z1tv0THiqEELOFBPliXolENM29o9SqFmtj4WKItcgsWZVwjivz3NbkZ6d78Lld3B16DQ+HN/HT0Kt4LLKBgmln8q3sZ7JM/knbNvsXAiFmG6/b5RgY/oGrF+FyKW7bXE1uhjWWpGKmynWAnuwV5nJa54EZex0hhEgVCfLFvNIxOMZ4OBJXj2/rlZ0kk0/Gua3JV0pRkOmjlQLeH/wInw29hwiu6dfk59vKdbqHiNgGKEJ8uY4E+WJ2e9+Vi/C5XWxbUcIta4zuU4E0D5+6yQi+awsDXLZo5n5WR/KtSbNy+g7N2OsIIUSqSJ98Ma/E2mcm1OPHJBt8e46764BR19zSN+rYNt1Mfk6Gl7wMLz3DQUaDEdoGRimLdh/RWku5jphT3rFlAW/dVIXH7cxNvWVTFTesLiXd68bnmbm8VbhkNUTnyCsZOjLp8WOh8LS6YQkhRKpJJl/MK43J2mcW2gYHFq8kEv9jETi3ffIhcdZQYNoDbyG+jaZVntM5OM7AWAiAzDSP2VNfiNksPsCPyUn3zmiAD+Art9polgVPQWjiDjufe+AAKz/zCF96SDL+QojzR4J8MaNGg2H2N/WhtZ784HMgFuQ7avILbEG+N53hrBpzNYQb/Lnn6O4syYLuMwnynXX5Vube3lKzpjADpWT2TiFOJ6+giPqI8VTPSwg6kgfwA6NBfvpcHeGI5vtPHWcw+mVaCCHONQnyxYwJhSPc/O3tvPo7T3PngwfP9+0ARpDvI0i1arc2Fix2HJNWaWXsxn35RtedcyxZJj/Ztsk4OuzYBtqelFIdIaalMDONV3SNua5bX056XGPPCDeoF7nH+xWuUrvZXd9zju5QCCGcJMgXM+Zw2wAnOoxg8g8vt0xy9LnR1DtCtWrDo6KzZuZUg8/Zg9tbZk18k5GXmsl8pitV5TrOXvm2TL4MuhViWgJpHo6qGnM92Lg36XEtHd38u/c/uNa9h7u832bvsYZzc4NCCBFHgnwxY+yzQrYPjBIMR05z9LnR2DM8cT1+TPnF1nJO5czfVBKFWamqybe+wNiz945yHcnkCzEljX7r90W4JXkmf+zUDgJqDICAGiPr0K/Pyb0JIUQ8CfLFjOkaGjOXIxra+kdPc/TM01rT1DMyeZBfey2sebPRdefyO87dDdrE1+QHfO4zmlgoftbb2NiIk53SI1+I6erJtEr7PN3Hkh7jb93hWL+y936CIanLF0KcexLkixljz+QDNPee3yC/c3CcsVCERS77RFhJgnyXC974Q/jQDqjecu5u0KYorlxnuj3yY3IzvGT7jU65I8EwHQNjaK0dpTtSriPE1OjsCsa08fPkHe2E0b6EYwp6nGU8C1UL9TsfOif3J4QQdhLkixnTmRDkj5ynOzFM2iN/FimKK9cpCEx/0C0YE2vFD75tHxhjeDwMQLbfQ55txlAhxMQKsjI4pUusDV1x2fxIhIUj+xPOc+/84QzfmRBCJJIgX8yYzsExx3pz3/kN8pt6RwBN7RwI8nPSvXjdVlef6U6EZWcv2anrGnLU5i8sDEj7TCGmqCDTxwldbm3oOu48oPMIWXoQgCFtfTGv7nwKemUArhDi3JIgX8yYrvgg/7xn8kcoopdsFb2PtGzILDn9SeeJUsqRvT+TQbcx8b3yHTPdSqmOEFNWmJnGSW3ruBWXyR89+ay5/ExkNU+HVwHgIoLeec85uUchhIiRIF/MmK6h2VWT39QzwmKXLYtfsPi89MCfqsIsK7A/05p8cM56u7u+l5PSWUeIM1KQmcYJXWZtiA/yT1hB/gn/Ku5132SuR3b9FCLnv8OYEGL+mFVBvlKqUil1j1KqWSk1ppSqU0p9UymVN41rPKmU0qf545/J9yAsiQNvz3cmP7595uws1Ymx98o/m3Kdi6pyzOVnj3fx6x1W2YAMuhVi6gozfZyM2DL5nUcd+73NO83l9rx1DFZvo0tnAeAe6YKek+fkPoUQAsBzvm8gRim1CHgWKAZ+BxwCNgP/ANyolNqqte6axiU/P8F26WV2DmitE2vyz3OQ39Q7wmtctg/lklXn72amwMiydwBQnX/mwfji4ixu21zNf71YD0DPcNB6DQnyhZiyspz0xJp8rY0ngkOdBAaMIH5MewgWr2F9QR4HTtZwpXufcXzrPihYdB7uXAgxH82aIB/4HkaA/2Gt9XdiG5VSXwc+AtwJvH+qF9Nafy7VNyimbmg8zFjI+Wi6fzTEwGiQLP+57+aitaaxZ4TNrkPWxgWXnfP7mI7br1jIqa4hirP8bFtRfFbX+syrV7Kjrptj7YOO7QulXEeIKavMS6fflU2fziBHDUNwCAZaIbsMGl40j9uvF1JakMemmnx262quJBrkt+2HVbeep7sXQsw3s6JcJ5rFvx6oA74bt/uzwBDw10opiUjmiPhBtzEtfeenLr9nOEjOeDuVqhMA7c2AsovOy71MVWVeBj9+z2a+/Ka1eNxn96Oa7nPzndvW4fNY18kP+MiR9plCTJnX7aK6IMDJZHX5Dc+bm3ZFllKZl87ayhyOsMDcPtbo7KEvhBAzaVYE+cA10b8f1Vo70r9a6wHgGSADmPLMREqpv1JK/ZNS6qNKqZuUUmfWaFyckfhSnZimaMnO9qMdfOzXe9l1qntGXn90PMiT997F9j/83JzpdpPXJzHUAAAgAElEQVQti68qN4J7fgW4K8qy+fTNK8z15aVZ5/FuhJibagszkw++tWXyY0G+3+uGktXm9nDLvnN1m0IIMWvKdZZF/z4ywf6jGJn+pcDjU7zmf8ettyulPqi1vm8qJyuldk2wa/kUX39ei58IK6ald5SR8TB/98uXGBgNsaOum6c+cU3SY8/G7vu+wtVHvgLADo+is+I6Z6lO9ewu1Zkp77x0Af0jQV6q7+Fj1y+b/AQhhMOiogAnj5SCO7qh6xgER6DpJfOYXZGlVOQarWurlq5j7FkPaSpExkgLjPRA+pR7SQghxBmbLZn8WPuPxDnCndtzp3Ct3wGvASqBdIyg/N+i5/6PUurGs7hPMUXxnXVimntH2N3Qw8CoMf65vnuYkejsqymjNTUnre94gT0/oKl3hE2uw9YxCy5N7WvOEUop/v66Jfz4PZtZXZEz+QlCCIfaokDc4NtjcPiPEDaeXh6PlNHnzqU4Omv1JYtLOKYrrOPbDpzL2xVCzGOzJchPGa31N7TWf9BaN2mtR7XWh7XWnwI+hvF+/22K19mQ7A9G1x8xCXtNvr39Y3PvCC+edJboTFTac8Za9lIWrDdXV47uYeD4CyxzNQIQUR6o3JTa1xRCzAu1RZmJE2Lt+S9z9f7wVipy03G5jDk41lXncthWl99Xt/uc3asQYn6bLUF+LFM/UWoxtr33LF7jhxjtMy9WSkkx8gyzT4S1ptL639qUJMhvH0ge5G8/2sGt332G/3jyeNL9Ewnv/Z+EbTeetL7b9eWuBJ+M4RZCTF9tYYA6W5Cvu0/CcauK9LeRK6jMs2aZ9nvdDOVZY2F6TlhlPXZa6xm4WyHEfDZbgvxYHcVEsxMtif49Uc3+pLTWo8BAdFUivBlmz86vtZWF1HcPs7ve+V2tY4Ig/84HD7KnoZevPHKIVltXnvb+Ue7+30f4466jiSdFwuh9icMuVqhT5nKwYvOU34cQQtjlB3x407No0fkAKB2GaL+I5yMraNRFVOalO87JrL7YXHa3J5brPLy/hfVfeIwP/GIX4YgE+0KI1JgtQf4T0b+vV0o57imadd8KDAPPx584VUqpZUAeRqDfeabXEVNjr8m313639I0yEnTW4HckKdfRWlPXNRRdhpOdQ+a+Z355J+9/+S2se+B6Dp885Tzx5F/wDLcb19U5tOrEAW7+RZdP/w0JIQTGuJbaooBz5tuo34SvAEgI8mtWXWIuF4+egLBzTsZv/ukoPcNBHtrfytP7jsKRR6FbZscVQpydWRHka62PA48CNcAH43Z/HiPz/nOttRnpKaWWK6UcnW6UUguVUvnx11dKFQE/jq7+t9ZaZr2dYV1DVuBemZdB3mn6sSfL5PePhBgNWt1UW/qs2XKXdzwMQJnqpvXZuCZKL//aXHwgfBn3hq9KuHbW0ismfwNCCDGBhDaawLhK46Gw8ZTQXq4DsGrxQlqjmf80grScsFppDo+HqGvr4h3ux/i594tc/tst8Ks3w39cBoPtM/xOhBAXslkR5Ef9HdAOfFspdb9S6t+UUn/GmO32CPDpuOMPRv/YXQU0K6X+pJT6vlLqS0qpX2G04LwU2Al8YkbfhQCcLTQLM32U56ZPeGyyIL9twDlpVmwSLa01BeEOc3tew2PWQeNDcPD35upvw1t5KuBspnTKVYUKFE7tTQghRBK1RXETYgHP+i5lECO4j8/k+zwuWtMXm+t1r1g99Q+2DHCn50f8q/fHXOHej5vok87gMJx6dobegRBiPpg1QX40m78R+AlwCUY3nEXAt4AtWuuuKVxmF0Z//BLgjdFr3AjsAz4MbNVan83gXTEFoXCEnmEryM8PnEGQ3+8M8pujk2j1DQ5RaBt/vXxkN8Hh6Ljtww/B+CAAxyLl7NcLef21W3kqvMY8/kTG2um/ISGEsFlUFEjI5P86aJUBxmfyASLFq8zl4fo95vKxEyd4rWuCYL6n7uxuVAgxr82aIB9Aa92gtX6P1rpMa+3TWi/QWt+hte5JcqzSWqu4bfu01u/WWq/RWhdorb1a63yt9RVa6+9orZM3bxcp1TMcJNYoIi/Di0dBxemC/CQ1+faBtmAF+W1NdbiUNTDNp0I07ohm73f80Nx+f3groHjVyhJ+n3MbIe0irBWHS19zhu9KCCEMtUWZHIlUmuvhzDIeHjaqR71uZfbIt8tftMFczug+aHbTCRy6F68ysvcvRxbyvdBrrZN648YcJTPcDT9/PfzsdTA0lVyYEGK+mFVBvrgwWPX4mq+57oIvVXPV8KOOY1ZXZJvLnUky+fFtNWPlOn2tiYPRggf+APUvQP1zAIxrN/eFryTb76Ew08fCjTdw+di32Dr2bbKWzM+ZboUQqbOgIIMWVcSXgm9lZ2Qpvyj9JJHox+nK8hyzR75d5XJrbo7ayEmOdwyC1lzc8YC5/Wfh69kdscp6ppTJf+abcPzPcOJJePH7Z/qWhBAXIM/5vgFx4Yl11lmuGrgu9BcALqn/PvA185ib15Sxv6kfMMp1tNYoZX0wTpTJH+lMzGxVdDwF262OPb8Lb6WVAtYXZ6KU4vbLa+kfMcZav3F9ZcL5QggxHWkeN5V5Gdzd/VruDr8WZeuK+f4ra5Oe4ylawrhKw6fHKFG97Nn+P1RdvIzKSBMA/TqdnRlXkTZoTeRHzySZfK3RB39P7DdnpHGHZO6EECb5fSBSLtYj396bPmO4mVxzmgK4emkxmWnGd8zxcMQMwmPia/L7R0MMjYUI9zQmvF5AD8FR60nB3WGjJGdRUSZgDHr7p5uW8083LcfvdZ/NWxNCCMAYfBsTK09cXprFDasSW2sC4HLTXH6Dubp1/2cZ+/OXzfUnvVdxw/paGnSxdU5vPURsLYfDQevFADoOobpPmKsjp15y7hdCzGsS5IuUi2Xyl7mcAfkqVx0AOelelpVmUWSrW+0YdAb1bf2jXKIO8gvvnbzL/QhgtNF0DzabxwzrxLrXgzmXc1xXALC4OPPs34wQQiRRW5j4++UfrluStFQnJvC6r9CkCwDI1INkN2039x2qeAO3rCljGD+dOlrOGAnCQIuxXP88fHURfGc99Bu/B8Ov/N55/VAPPa11Z/GuhBAXEgnyRcrFMvnLVL1j++2LByjN9vPpW1bgdimKMq0gPb4Gv61/jC947+Fy9wE+4/kZZXTR1DtK+kiLecyj3msSXvt/vG8wl2OZfCGESDV7Jh8myeJHFRWX8e3c/0vY2TOC/ZEa8hZtYk1FDpV56TTqImtnrC7/xe/DaB90n4A/3wnA4N77E17jz088mrBNCDE/SZAvUs7K5Dc4tl+T3cLzn7qOt2ysAnBm8m1BfjiiGRvsYqnLqFV1K80K1ylaekfIGbcmhxlf8Qb6tK1VXdUWHupfYK5KJl8IMVPig/zJsvgxpauv4ZuhNzq2/Xf4GlZX5KCUYlNNPg2OID9a9tiy19q291dw/Alyeg4Qr/3wC/QMSSM5IYQE+WIGdA2Nkc0Q5arbucP+IcXEQX7X4BgrOeE4dolq4mTXEEW609y2ZcNGHo7OMAkwuPnDtPUb1/G5XVTlJ/aqFkKIVFhVnkOGzx1dzp40ix9z7fJivhu+1Zy/o0kX8LvwVlZFO45V5aVT76jLPwVjg9B13NqmI0R+/S5zdUxbM4ovjZzgnmcSu5AJIeYf6a4jUq5zcJylqiFxR9dxGBuAtCwgLsi39cpv7R9lrXJ+SC11NfKbky3kK2OyqxBuqqoW8L7Ae+geyuK4LqdrZxFgzIa7sDCAewpZNSGEOBM56V5++jebefpoJ7dtrp5SFh9gTUUO+ZnpvGfwE1we3s/BSDWFhUVk+41AvTI/g5fsQX5PHbQdAJwDal1jfebyk9mv5oaB3xrXd53kjmfquP3yWnIyvAgh5i/J5IuU6xoaSxh0a9DQut9cs9fk2zP5bf1jrHY5M/mLVROdTVbg3+0uQLk9XLJqCV8O3cZ94at44nCHdbyU6gghZtimmnw+8qqllOb4p3yOy6W4ZlkRYdz8JXIR7eSxuiLH3F+dn+HM5PecgtaXT3tN35UfQXuN8qFi1Uv6WAe/3pkk0SKEmFckyBcp1zU4zjJHJt+W4Yp9WAVHWBg6jo8gEB/kJ2byF6smirQVxA/6SgD42PVLuXZ5MfEWxdXLCiHEbBH/O2t1uTU5YFV+RlxNfp0zyL/oNse5+9RSLl+/BlW21ty2xnWCY+2DKb1nIcTcI0G+SKnh8RDD42HnoNuFV1rLLXshHIKfv55Nj7yOb3nvApxBfn9XK1UuK6AHCKgxNqoj5vpYRhkAWX4vP3rXRu58/WrSbT3wL6rKTeXbEkKIlLl8SSFet5X8WGPL5Jdm++l0FRLS0Y/nwVZo2GHu1xe9le1p1u/Uruqb8LpdUHaxuW21qrPNPC6EmK+kJl+klNFZRzsz+RfdBieNmW9peRn23wf1zwFwk3sHy0P1dA5aU7n72pM/mr7KbQ3c1TkV5rJSirdfsoDLFhXyg+0nKMnyc82yxOy+EELMBll+L69eW85vdzdRkp3Guuo8c5/bpSjJzaJloIAqFU12dBw09+8YreRDfe/gs94Io/i57taPGzvKbUG+6yRPSYcdIeY9CfJFSnUNjVNML7lqyNiQlg3LbrIO6DgIT37Jcc4b3U/xxaFqQuEIHreLnN7EtnAAFymru4Q3ryph/8LCAF98/ZqzfxNCCDHDvvj6Ndyypoy1lTmk+5wzcVflZ1DfX0wVziea5FTxnee66COTjwb/jts2V/O2vGipjy2Tv8Z1km4J8oWY96RcR6RU/0iQ5S7bJFjFKyA9F/JqjPVICHqc9fa3up/GrUPmh1L58CFz30jBanPZrazuEoHiham/eSGEOEfSfW62rSyhODtx0G5CXX5UX+4Kth812gi7FLz/qlprZ+EStNdoG1yqelCD7QnnCyHmFwnyRUr1jwadpTrFK4y/yy6a8Jwi1c/Vrr3mrLe1Qav2PrTmLUnPySurOet7FUKI2agqL67DTtT2fqsX/6vXlrOgwNZgwOWGEutJ5sLgUcZC4Rm9TyHE7CZBvkip/pGQs31m8Srj79K1zgP9ubDpdnP1Te6n6BgcY7SnhTK6ABjVXjIuflPS10kvWJB0uxBCzHVV+ek0JgnyH2gvNJc/cPWihP3KVpd/keu4lOwIMc9JkC9Sysjkx5XrQGIm/9IPwSXvN1evc71Ef2cL/Sd2mtuOumpx55Qz5s1xnDqGDzLyU37vQggxG1RPUK5zIGwkN65dXsyKsuyE/VRZM4Bvc70UbYQghJivJMgXKTUwPMoS1WRtKF5p/F2+DlzRcd7+XLjkb6FwCY2ZxuNlrwqTf+J3jDfuMk895V8GSjGau8TxGr3eIlAym60Q4sKUrFynn0yaMDL5776sJvmJS65nHGOW29WuOoZbjiQ/TggxL0iQL1LK038KvzImuBr2FUKgwNgRKIRXfwNqr4G3/BT8Rnb+RMWt5rlXHP93yvd8x1zvyIo+BShe7niNYX8pQghxocrN8DKels+wtmYF3x+uBhR+r4vNCyd4kunP5lCmlc0PHP/9DN+pEGI2kyBfpJR3sMVcHs6Kq5tf/0545/1Qe7W5qX/RqxnRPnPdpUPm8mC+keVPL1/luEwwszx1NyyEELOMUorK/IAjm39A1wCweWEBfq97gjPhaOE2c7m04aEZu0chxOwnQb5IKddIt7kc8RdMenxefiEfD76fw5FKQrZpG3ZEluIqXgaAr3SF8zVyE3vkCyHEhaQqL506bT21PBCpAeDKJYUTnGHoKLuGMW2U7BQMHoHOYzN2j0KI2U0mwxIp5RnrsVYCp/8wAijKSuPByBYeHN/C4gI/VxSPsuvQcQ7par6YY/R8NgfvRmUWSWcdIcSFrTo/gx+FbmKD6wh1uoSHIkYZzuWTBPmZOfk8GbmIG9zRJgav/Bau/MeZvl0hxCwkmXyRUmnjVpDvypw8k1+UadWc1vWM8bt6Hy/rRYzjpSQ7ui+zhKDP6iRRWrU4dTcshBCzUFV+Bjv0cjaPfZc3j3+OMXwUZaWxrCTrtOcVZvp4MHyJteHA/TN8p0KI2UqCfJFS/mCvuezNTGwBFy83w0tmmvFAKRTRjr7OpbGZIJXCW3OZsezyQMnK1N2wEELMQlX56QBo28f0FYsLUZN0FssPpPF4ZL1ZskPbfug8OmP3KYSYvSTIFymVGbaC/LScyYN8pRSfvmUFWWnOyjG/10VFXrq14aavwJYPwpt/Ctky8FYIcWGrzs9I2DZZqQ5AfsDHEOk8EbEmxmLXT6b0mv/x5HFe/71nePpo51RvUwgxi0lNvkiZYDhCdqQfoo0f0rInD/IBbttczZs2VPJyYy9PH+3icFs/t6wpJ8Nn++eZtwBu/OIM3LUQQsw+lXlJgvzFkwf5BQGjW9kD4Uu50b3D2Pjcd2HxNlh0zYTntfSN8JVHDqE1/OuDr/DwHVee2Y0LIWYNCfJFygyMhshXA+a6msLA2xiv28WGBflsWCAz2QohhN/rpjgrjfaBMQCWl2ZRHCthPI2cdC9ul+LhyGaeCa9iq/sAoOF//xbe/zRklSQ972THEFoby8c7BglHNG6XTDooxFwm5ToiZfpHguTZgnwyJh94K4QQIrkqW8nOVLL4AC6XIi/DRwQXdwQ/SDgj+kR1qB3+9/9AJJz0vOa+UXM5GNa09Y8mPU4IMXdIkC9Spn9knHwkyBdCiFRYV5VrLt+weuozfcdKdjrIpeGabwHRjPzJv8CLP0h6TkvviGO9vnt4ejcrhJh1JMgXKTM02I9fBQEYxwfexJpSIYQQU/P31y7hI9uW8q23XsymmqmXMuYHrFnEG3I3w5Uft3bu/03Sc5r7jCDfj1Ee1CBBvhBzngT5ImXG+trN5UF3DkzS6k0IIcTEcjK8/MO2Jbzu4oppnVeQaQX53UPjcMn7rZ0teyA0lnBOc88IP/R+lX1pt/Me90MS5AtxAZAgX6TM+IDVdm3Ym3uaI4UQQsyUAlsmv3Nw3Jh9PL/W2BAeh5a9Cedk9uxnm3s3XhXmfZ4/SLmOEBcACfJFyoQHrSB/zJt3Hu9ECCHmr/yANZN491A0a19lmwW34cWEc0oHXrGWVQ/dXe0Jxwgh5hYJ8kXK6CEryA/6JcgXQojzIT++XAegcpN1QMMLjuP7R4MsDx9xbPN1O9eFEHOPBPkiZVwj3eZy2C/97oUQ4nwotJXrdA0aQf5YmS3Ib9yB2RQfaOkd5SLXccc1SkZPMDKevN2mEGJukCBfpIx71Arydbq0zxRCiPPB3l2na2icjoExrvhxCwM63dg40AJ9DeYxbR3tLFbNjmssUY009khdvhBzmQT5ImV84z3msitTgnwhhDgf4rvr3LerkfahEHsii6yDbHX54w0v4VLafgmWqUYZfCvEHCdBvkgZ/3ivuezOLDqPdyKEEPOXfeBt1+AYDx9oBeAlvcQ6yBbk+1p3J1xjiatR2mgKMcdJkC9SJiNkBfm+7KlNwS6EECK1ctO9uKLTlPSPhtjbYPxufimy1Dqo0Qryc3v2JVyjUPXT2dY0o/cphJhZEuSLlMmM9JnL6dnF5/FOhBBi/nK5lKMuP2a3vVyndR+MG5n6iiGrfeaoK2Au6/aDM3eTQogZJ0G+SJnsSL+5nJFbch7vRAgh5rdkQX4/mRyJRGfPjYSgeTf0t1AQMdofj2gf7eXXmsdn9B09J/cqhJgZEuSLlAiHw+QyYK4H8iSTL4QQ50uyIB/gpYi9Lv8FIk27zNV9eiHZNevM9cLh42jtHJArhJg7JMgXKTHU24U72p2hX2fg9ib/gBFCCDHzCjLTkm7fpW11+Tt/zPi++83VQ64l5FSvMdcX6gZrMq1wcEbuUwgxcyTIFwAEwxF+uP0Ev3qhnkhk+pmbod5Wc7nflZ3KWxNCCDFNBXGZ/LIcPwBPhi8iqKJfAPrq8b9yr3lMY8ZKVMlKc32ZaqC+awh+90H4QhE89pmZv3EhRMpIkD8PjJx6idZvb6P1vk84Zjm0+/JDh/jXBw/yqd/u408H26b/Gr3t5vKAK+eM71UIIcTZiy/XeddlNQB0kMf3ij8L7sSnrX15ayC7gpHo4NscNYxn5/dh9y8ADc/eBWODM33rQogUkSB/Hjj1m3+mtHsHpfv/k+Zdf0jc3zXET5+rM9d3nepJOGYy4wOd5vKwJ/dMblMIIUSK2DP5q8qzuWRhvrn+8PhaeOt/gdvWT19n4S2sAaXoTF9obl+5/yvWRXWYcNNLvNzYy3goMqP3L4Q4exLkzwNZQ3XmcscL/52w/yuPHCYYjlCp2slmiOMdQ9N+jdBgh7k86pUgXwghzqcrlhThiTbLf9dlNVTmZZj7mnqGYck2uO1XhJTxZeDB8BbKco1jRnOtun23Djuu+8vf/IbX3vUM7/7xizIoV4hZznO+b0DMMK3JC3eZqws7niQSHMfl9UE4xKknfsRNB/+Xz6W9QpHqp1+n85HWLwEbp/UykUErkz/uy0vV3QshhDgDNYUBnvj41fQOB1ldYYyTSvO4GAtF6B8N0T8aJHvxNj634Ge0HXmRpyJr+XJuunFy8XKYYB6s0v59wPU8e7yLzsFxirKSD/AVQpx/ksm/0I32kcGouZrNIIee/yMA+okvsuDpT/Bq9/MUKaPHfbYa4c1DvyQYnt6jWDXcbS6H/BLkCyHE+VaVn8GayhyUUiilqIgF8UBTzwgAB4azeSyykTF85uDcjMo1juu0+6rM5XWuY4CRwa/vnv5TXyHEuSNB/gUu1JuYjhl86V4YaCXy3HeTnvMqtYPmukPTeh3XqPW0QKfnn+ZIIYQQ50NFXmKQ39w7Ym4rj34JKF68nghGqc+4dvO2gb+nXxv7ilQflcp4cnuqa/ic3LcQ4sxIkH+BG+6sT9i2pPsv9D/8BdxhI8N/MFLN3St+yr609QBGv/vn/3NK14+12/SOWYN1dUbh2d62EEKIFHNk8ntHCIYjtA+MAaAUlGQbmXxvTil9mz9Ku6eMT4feyzFdyZ7IYvPcdcqYCbdOgnwhZjUJ8i9wI92Jmfw8NUD2gV+Y69/3vZO3vuZmdle+3dxWduJeGO2f8LoDo0Fu/e4zbLzzTzx/oou08V5znztTgnwhhJht4oP8tv5Rs6tyUWYaPo8VEuTd/BmK//kQb/k/n2Tjgjz2aFuQ7zoGYPTQF0LMWhLkX+BCPY3Wsk78370zsoy3v/1vyM3wEVl4LUcjFQD4wkOw++cTXvd/djSwp6GX7qFxvv7YETKCVibfmyVBvhBCzDbx5To766zf29X5GclOYVNNPvd94DI+8I63mttiQb5k8oWY3STIv8Dp/mZz+Snv1oT9zRs+zsaFBQDUFmfxo/BN1s7n74ZwKOl1//cl6wnBzrpuMkJ95ro/p/hsb1sIIUSK2TP5jb0j/OHlFnP9muWn/73trd5sLq9SJ0ljnPpuCfKFmM0kyL/AuQatIP9U6fV0u6xBsfvTN/Ca177ZXK8tCvDb8OV06SxjQ189HH7QulhoHB74e0a/cxmf7/ooP/F+mS947qGWRgIYv+xD2kVGdsHMvikhhBDTVmnL1p/sGOSpI9b8JjevKTv9yRn5UGCU7PhUmFWqju6hcfpHgwA8fbST1931NN95/Gjqb1wIcUYkyL/A+YbbzOVwVjkj694LwJhKY8Gbv4xSytxfnpOO8vr5Zfg66wJ7bZNn7foxvPQz/F0H2OQ6wtXuvfy150/80fdJ85AeMslKT5wuXQghxPlVkpWGOzpBVv9oiPFoq+RV5dksLAxMfoHKTeaiVZdvJHg+88B+9jb28fU/HaG1bzTp6cmMhcL85JmTXPu1J3nNd56mc3BsyucKIU5PgvwLXMaoFeS7siuouOVT8I7fkPaBp8iq3eQ41uVSLCzM5DfhK62NRx+DkWjd5p5fJn0Nn7JmROzRWWSne1P3BoQQQqSEx+2iNNpBx27SLH5MpTVJYizIP9U1TOfgGCeiM6VrDW39kwf5Wmvu3dnAtV/7C5/7/Suc6BxiX1MfD+xpnvRcIcTUSJB/IQuOmrXyIe3Cl1sCLhcs3mbMaJhEbVGAU7qUPZFFxoZIEF55ANpegZa9AIxpL28f/yQfd32cY65ax/k9ZJHll4mUhRBiNrIPvo25ZcpBvpUY2uA6gosIdV1DvHSqh7e5H+fltNv5hve7DIwmH8tl94vnT/GP971Mk61PP0BDj9T5C5EqEuRfyAasjEgbeeQGEjM48RZFH9k+EL7M2rj/Ptj7K3P1scgGnomsIfPiN/DHLb/kS8G3MqqN7P2f2YzXLf+shBBiNqrMdQb5q8qzqZlKqQ5A8SrwGWO2ylQ373f/nvquYdr3P8EXPPeQrYZ5vfsZQp3HJr3Uk4et8QAel1U22tI79VIfIcTpSTR2Ieu3Oie06TzyMiavla8tygTg9+Et5oyHnNwOu61SnfvCVwDw+nUVvGpNJXeHX8uWsbu4cexL/M5/awrfgBBCiFSKz+TfsnaKWXwAtwe2fthc/YjnPnKa/8KNh//FmEQxKtKXOD9LvCPtA+byv7x6pbncMoVSHyHE1EiQfyGztc9s0fnkZkxeK19bZGR0Oshjj3tNdKuGkW4A2nUu2yNrqS0KsLYyh+WlWVTnZ9BLFod0tZTqCCHELFYRl8mfcqlOzOUfZbR0AwBeFeZT3f9MYaTDcYgeaD/tJYbHQzR0G2U6bpfiiiXW3CqtfSMTnSaEmCYJ8i9k9nIdnT+tTD7AvWNbEvbfH95KGDc3rCpFKYVSihtWlZj7ZdCtEELMXvbf8asrsllQMMVSnRi3B9cbf8iATqztj1HDHRPuAzjebs2Uu6Agg8q8DGKN3toHxghGu/4IIc6OBPkXMG17ZNoyxSA/M81DSXYaAA+GNqJdznN+Ey3VWV2eY2577UUV5i/oZaVZZ3vbQgghZsimmjzetKGSpSWZfP61q87oGr6iWr6V9reObb3a+rLgGU/pHh4AACAASURBVOk87flH2oxSnTz6WVXoxedxUZhpfO5obQT6QoizJ7UVF7BwX7P5P7jTVUi6zz2l82oLM2nrH6OfTDrLrqCo6XEADrGQw7oagJXl2ebxaypz+N7b1nOwpZ93XVaTyrcghBAihZRSfO3NF531dQ4V3czPTr3COz2P8Wx4JX+KbOAz3p8D4BudJMhvH+Aq115+5P0q4fp0OPA9ynMK6YgG9619IwllRUKI6ZNM/gXMPvhpOO30U5bbxeryAV4ofIO5/IPxGwDI8LlZYJs5EeCmNWV89PplFESzMUIIIS5c1YUBPhN6D+tH7+YdwU/RpK2Zzv3j3ac992jbIH/tfhSPipAWHoJ738Xfhv8LhVGm0zKNybSEEBOTIP8Cpgas7jqj6SWnOdLJnqW/v385vOdh9l59D7+JGKU6K8qycdlangkhhJhfagqMRE832URw0aWtz41AsOe05x5t7WOj64hj2y09v+A/vd/ARUTaaAqRIhLkX6giYTzDVoeDcObUg/xLFloZmR113USqtvAMF0G0pebKsuwJzhRCCDEfVOc7B+wO+6zPjazwxEH+8HiItL7j5KqhhH3Xu3fxatdzkskXIkUkyL9QDbajdBiATp1NViBzkhMsi4oC5iCovpEgB1v7eaW539xvz/QLIYSYfxYUOEs2l9QuNJdzIz3GCNokjrUPssl12Nqw7GZY8xZzdZ3rGK390kZTiFSQIP9C1W9vn5lH7hQ668QopbikNt9cf+FEN6+02IJ8yeQLIcS8Fh/kb1leY8587mccxhMz9QBH2gbZaA/yF1wGK15jri5UrTRLuY4QKSFB/oVqwDkRVt4UJsKy27LQCvKfONzOyU7jF7ZLSZtMIYSY7zJ8HqqjDRjcLsVVy4rpxGqtrAeTT4h1tG2ATcoW5FdfCgWLzdUa1UqrlOsIkRIS5M91Rx6Be26CF3/g3N4//Ymw7LbUWvWV2492mk9eFxVl4vdOrRWnEEKIC9fnX7eKTTV5fO61qyjPTafbFuSP9LYmPae96STVLmOyrLDbD6VrId8q9alS7fQMDBKSCbGEOGvSJ3+u+8NHob8R6p+FktWw4FJje78zk79gmpn8xcWZFAR8dA2NO7ZLPb4QQgiAa5YVc80yqz1znysXogmh0Z4WMpKck9mxy1weK1lHhieagMqpgr4G3EpTSRvtA2OUS698Ic6KZPLnsqFOI8CP+ePHIRwylu2ZfPKmncmPr8uPkXp8IYQQyQx4rM+M8f7Ecp2hsRC1w/vM9bSFl1k7CxaZizWqVTrsCJECsybIV0pVKqXuUUo1K6XGlFJ1SqlvKqXypnmd/Oh5ddHrNEevWzlT937etB90rrfth50/goE2aHzR3NyiC8gLTC+TD85WmjGSyRdCCJHMiNf6uA73tyXsP9buHHTrrrEH+VZd/kKpyxciJWZFkK+UWgTsAt4DvAh8AzgB/APwnFIqMdpMfp0C4Lnoecej13kxet1dSqna1N/9+TPWciBx45/vhB9ug546AEa1l0OR6ml114mx1+XHrJBMvhBCiCRGbL3y9WBikH+iqZWV6hQAERRUbbJ25luZ/FrVQkuftNEU4mzNiiAf+B5QDHxYa32r1vqftNbXYgTpy4A7p3idLwJLga9rra+LXudWjKC/OPo6F4zBhv2JG8f6oK8egDCKz4TeTSc50y7XAVhSnOnoylOSnWb2zxdCCCHsgumF5rIa6kzYP3T8edzKKNrvDCwGvzVQN77DjpTrCHH2znuQH83iXw/UAd+N2/1ZYAj4a6VUgNNQSmUCfx09/nNxu+8CTgE3zPlsfsTqOKBt5To/Dt3gOEx7A9we/Di/Dl8DQLZ/+mOsXS7lKNmRenwhhBATCWcUmcueUVuQrzWHn/8jSw/fbW4aKd2Eg60mf6FLynWESIXzHuQD10T/flRr7eiZpbUeAJ4BMoAtk1xnC5AOPBM9z36dCPBI3OvNGa0Nx9j+/Y9w5M5LePHrbzQ2ak2g76h5zI/CN/Mn33XGSlYZA7c9wBPhdYAR4HvcZ/a/+qpl1i/tjTWJA3GFEEIIAJ1hZfJ9o13GQus+gnddwrKHb2Ozy0pMla+N+yjOXUBEGcmoMtVNd2/PjN+vEBe62dBCc1n07yMT7D+KkelfCjx+ltchep1JKaV2TbBr+VTOTyU93McVzfcA0BtsRIdDqJFu0kN9AAzpNJp0AR8aei/73v/PeEuW09kXAYyayLzA9Et1Yt68oZLGnmGGx8O867Kas30rQgghLlCuLKudZvq4EeSHHv0c3q7DjuNGaraRvup1zpPdHsI51bh6TwDg6T05szcrxDwwG4L8WFFe3wT7Y9tzz9F1Zp3SJevoIJciesllkNbDL1KaHjL3H9UVaFyMhuGoezErfRn0DFtZkDMZdBvjcbv4xxvO+fcaIYQQc4wvs4CQduFREfzhQQiOEDr1nBlo/Ff4Ota84R9Zve7SpOe7CpdANMjPGa4nFI5M+BT6N7saOdk5xO1XLDyrzzghLmSzoVxnVtJab0j2Bzh0ru9FuVwcythorvfuf5hIm/XY82jE6g76Sku/ccywNYlV3jQnwhJCCCGmKzsjjS5sY7fqn8MfHgKgQ2cTvvnrEwb4AO6iJebyAlroHBxPetz+pj4+du9e7nriGN94bKKH90KI2RDkxzLsORPsj23vPUfXmZX6yq8wlzManmKkyeqsc1RXmMsHmo3/DD3DQXPbmXTWEUIIIaYjy++hS9s+gg8/ZC7ujSzi2hUlp79AvtUXo9bVQvMEbTRjn3MATx9L7OIjhDDMhiA/Vqw3Ua187Kv9ZF/XU3WdWSlj+XXmcvnAy+jGneb6MWyZ/ObETH6uZPKFEELMsGy/l05tZfL1oT+ayy/rxRRnTdKCOa6N5kQddtr7x0hnlHI6OdE5xMBoMOlxQsx3syHIfyL69/VKKcf9KKWygK3AMPD8JNd5HhgBtkbPs1/HhTF41/56c8qyxYs5EFkAgIcwmT2vmPuyqtaYy6+09KO1psdRriOZfCGEEDMry++lw/YwXfU3msv16Ssn7/LmmPW2haae5Jn8gZ52nkn7MM/6P8ytajsHosktIYTTeQ/ytdbHgUeBGuCDcbs/DwSAn2uth2IblVLLlVKO0aBa60Hg59HjPxd3nQ9Fr/+I1vpECm//nCnP8bPDvS5h+6D2s3zZKjNbPzAaoqF7JK5cRzL5QgghZlZ2uodOnbxitidv9eQXyCoj5PIDkK8GeXLPIfSJv8DxP4PW5mHlbU+QrwYBeIv7L+xrnKjfhhDz22zorgPwd8CzwLeVUtcBB4FLMHraHwE+HXd8bNSpitv+KeBq4KNKqYuBF4EVwOuAdhK/RMwZSinaii6D9vsd24/pCmqLM1lZls2zx42WZa+09MWV60gmXwghxMzK8nvp0omTJh6LlJObX5TkjDguFxTUQofxpPqrXR9E/azb2Hfr3XDxbcbrDNWZpyxxNfKrJgnyhUjmvGfywczmbwR+ghHcfwxYBHwL2KK17pridbqAS4FvA4uj17kE+DGwIfo6c5a/9jJGtDNgPxqpYFFRgFXl1i/WfU19jsecUpMvhBBipgV8brqS9L7YoxdTlpM+pWt4bB12ylW3tePoo+Zi4Wi9taz6aWyom/7NCjEPzJZMPlrrBuA9Uzw2PoNv39cN/EP0zwVlZXUxzz+zgmvce81tx6jidfkBVpVbv1j/8y8nCEWsR5vFWf5zep9CCCHmH6UUw96ChO17IotYljvFz6HCCXpndBi9NbTWlIebHM/x03uP0DccJEcSWkI4zIpMvpiatZU5bI+sdWzrCdTi87hYacvk2wP8G1eVsqQ485zdoxBCiPlrNC0/YdvuyGLKc6eWyefit0F2JQOuHO4Ovcba3nUUwiH6h8aoptVxyjLVwP5mKdkRIp4E+XNISbafA+kbHNsiRcb449rCAGke5//O911Vy3ffvh6Xa8IHH0IIIUTKBP2FjvVR7eWwrpp6kJ9fC3fs48g7d/Ol0G006+iXhvA4dJ+gp/koaSrkOGWpauRlGXwrRAIJ8ueYrMpV7IvUAHA4UkluyUIAPG4X160oBsDncfGNv7qIT960ArcE+EIIIc6RSLqzXGefXkgIz9SDfACXiw01BWxYkOeY0Z2Ogwy3JE46v8zVwL6mOTnPpRAzatbU5IupWVuVx98c+gRXuffyVHgtdxRbUwJ86Y1ruX5lKeur86guyDiPdymEEGI+CmSk060zzRaXeyKLCfjcZPunH268ZWMlR35XyVW8bGxoP0SoM5Rw3FLVyMsNEuQLEU+C/DlmTWUOHeRyX/gqAGqLAua+bL+XW9dVnK9bE0IIMc9l+T106RxHkF+en45S03+qvLg4k//Wzky+pyexACFTjaJ7G+geGic/IC2jhYiRcp05Zk2Fsz2ZPcgXQgghzqdsv5dnIqsA6NGZPBNZNb1SHZuagoCjXEe3HyJj4KS5HlZWnnKpq5F90i9fCAcJ8ueYwsw0ti42ah7XV+dSlJl2nu9ICCGEMGT7PXwx9HbeN/7/27vz+Ljqev/jr28mk8m+L02TNulOS1sKZacsBURQBBRQUMANvW64odfl53qvXu7vKupPuG6gcoULiCgoKgJlK7IUKAVaKLSle5u1TZOmzTrz/f1xJmeWTNIsM8lk5v18PPKYc75n+57TM9PPfOdzvt8vcHHvv3OAgjEH+aV5WTRmzQwV7NtC6eFQkN9SfpI7vcDsYv3uyJSd3z69jat/vYYXtu9HJB0pXWcKuuWa41m38wDHziwe00+gIiIiiVCY46UXLw8FTnDLakbaR34UYwzl5eXsaS2jxuzDBPoopA2AXuuhs+4caHkacFryb3+jmU+dNZeMDMPjbzbz3QeckXMPHO7jgetWjPPMRKYeBflTUG5WJqfNLT/yiiIiIhOoIMYDtiMd7TaW+rI8NjfXUuOJHPh+h52Gr2YZvOjMLzC7WLfzAI8+dD8rA8/heWkdf8tqxE8GN7deCSjIl/SjIF9ERETiojB78KizY03XASfI32RrOYtXIsq32mpOmrnEnZ9r9nKS2cjK575PpglwBrgJydcHfsfh3uvJzVLII+lFOfkiIiISFwUxgvya8QT55XlstoN7jdvOdIpKK6BgOgA+08ctWTeSaQKD1p1j9tLc1jnmOohMVQryRUREJC6i03WMgaqisXcQUV+Wy6bwAbGCWn0znGfSKhe6ZYXmMAD7bT6f7f0MLbYQgEwToKNp65jrIDJVKcgXERGRuCjMiWzJr8j34cv0jHl/Tkv+4CC/I98Z7T08yB/wxb5P8ndOoyFzhlvW1bRlzHUQmaoU5IuIiEhcRLfkjycfH6AsL4sMXz67bWRnEz1Fs52JykUR5X/MuYwnAsfy1QuOoq+ozi0P7FNLvqQfPYUiIiIicTE4yB9b95kDjDHUl+eyubmGWk8r4KTj5BVXOivUrwBPFvh7YcbJXHz1z3i79ZDvy+SZLfUQ7CI/88D2cdVDZCpSS76IiIjEhS/Tgy8zFFpMH0f3mQPqgj3sDNhqp1NZEPzyUFIHV98HF/wXXH0fmVk+8n3OFw1bMsvdJqdz57jrITLVqCVfRERE4qYwx0vLwR5g/Ok6ALPK8lgfmO3Ovx6oo6Ig7GHe+hXOX5SsyjnudHH37nHXQ2SqUUu+iIiIxE14yk48gvy6slweDJzInf1ns8p/LL/ofxeVBUfusSe3ap47XdHfAIHB3WuKpDK15IuIiEjczCjJZWvLIQDmVeWPe3/15Xn48fD1/mvdssrCIwf55RWV7Lf5lJpOfPTCwQYoGtznvkiqUpAvIiIicfPlty/Ak2E4eXYpcyriEOSX5Q0qc3Pyh1GWl8UGW0WpcQbC6mvdildBvqQRpeuIiIhI3CyuKeI3HzqBj58x58grj0B5fhZ5WaG+9o2BsvysI26X6cmgwTPdnT/UsCku9RGZKhTki4iISNJyutEMteaX5mbh9YwsfGnzhVrue1reinvdRJKZgnwRERFJauEpOxUjeOh2QGfeTHfa7lOQL+lFQb6IiIgktfryXHe6snDkA2z1FYZGvfV27IhrnUSSnYJ8ERERSWrzqwrc6brS3GHWjGRKQwNi5R/aCdbGtV4iyUy964iIiEhSu2BxNauOaaapo5uPrph15A2C8sumc8j6yDM9+PyH4PB+yCtLYE1FkoeCfBEREUlqWZkZ3HTlsaPerrIwm522ioVmp1Owf6uCfEkbStcRERGRlFRRkM12WxUqaNs2eZURmWAK8kVERCQlVRb42BEe5O9XkC/pQ0G+iIiIpKSKqCDf7lc3mpI+FOSLiIhISsr2emj1hka97W/dOom1EZlYCvJFREQkZR3KD/WVb/ZtUTeakjYU5IuIiEjKMoU1HLQ5AGT2tEHHnkmukcjEUJAvIiIiKauiMIfXbH2ooOGV0PTONXD/p2HrExNdLZGEU5AvIiIiKauyMJsNgfpQwd6XnddAAP7wIXj5Due1v3cSaieSOAryRUREJGVVFvhYHwgbJbchGOQ3vwYH9zrTXW1wYMfEV04kgRTki4iISMqqKPCxwYYH+cF0ne3/jFxx35aJq5TIBFCQLyIiIimrsiCbbbaaQ9bnFHQ2QUdDjCBffehLalGQLyIiIimrstBHgIzIh2/3roMdT0euGKeWfGstj7zexDNbWuOyP5GxUpAvIiIiKau6KBtj4LXwh29fucvJww8Xp9Fw//TSHj72uxd5/61reHB9Q1z2KTIWCvJFREQkZeVmZTK7PC/y4ds3/jpoPRundJ012/a50zc+solAQINvyeRQkC8iIiIpbUlNEevt7FCBDQxax3Tsgd7D4z5WY0ePO72luZMHNzSOe58iY6EgX0RERFLa4poittpqumzWoGXd1hua2b913Mdqau+OmL/psc1qzZdJoSBfREREUtqSmiL8eHjd1kWU77MFPBdYFCqIQ15+Y0dkkP9G40EefaN53PsVGS0F+SIiIpLSFk0vBIjMyweeDxzFVlsdKhhnDzvdfX7au/oGld/02GasVWu+TCwF+SIiIpLSCrK9zC7Pi+xGE1gTWBgR5Pe3jC/IbwxL1SnO9ZKV6YRZr+5u56nN6lJTJpaCfBEREUl5i2uKWB+YHVH2XGAR2+00d767cdO4jhGeqjO7PI/3Hl/rzj+1uWVc+xYZLQX5IiIikvKW1BSx2dbQbIsB2G3LedPWsi0QCvI9B8b34G14S/60omyOryt153ft7xrXvkVGK3OyKyAiIiKSaIuDD99+rPeLvMvzLPf5T8eSQUn1LHr2e/GZPnJ690N3O2QXjekY4S35VYXZzCjNced3tY2/e06R0VBLvoiIiKS8o2uch29fsXP5Xv/Vbn7+h1fMYbutCq14pEGxDrWCf/DDtRDVkl+YzYzSXHd+134F+TKxFOSLiIhIyivM9jKrPC+irCTXyzuXVrODUMrO4cY3h97JujvgB3Pg5uOh99CgxU0dkek6Ffk+sr1OqNXR3U/74dhfDkQSQUG+iIiIpIXFNZFpOMvrSsj2eujIDfWf37pj49A7ePqnzmvbdtjy6KDF4ek60wqzMcZQWxLWmq+UHZlACvJFREQkLSwJpuwMOK6uBICM8rluWddQPey074bWUCu/bRnc4t8U9eAtwIySsLx8pezIBFKQLyIiImlhUEv+TCfIL65d6JZltQ/Rw85bj0XM7tuxIWI+ELA0H+xx56sKs2Hnc3y17Tvc4r2RYg6qJV8mlHrXERERkbSwuKaIDAMBC16PYWmt053mjHmL4TlnnbKe3WAtGBOxbf+mVZFBU0tki3/roR76A86otvNzOsj+88dhw70sABZ44MrA4+zavzhBZyYymFryRUREJC0UZnv53DnzKc3L4stvX0BOlgeA2fVzOGSd9JpCDtHWENWaH/Bjtz4RUVRwaJvzZSBooGedpeYt7rdfgA33Rqw/P2OXWvJlQinIFxERkbTxuXPnsfYb5/LxM+a4ZR5PBm9kLnDnu157MHKjvevw9rZHFPkCXdCxx513gnzL97y/IZfBA1/VmSZ2KidfJpCCfBEREUkrJioVB2BDwWnutG/rQ5ELY/SkA0DYw7dNHd1ckPE8SzO2OQWZ2fDuX7nL60wTu9u6CARs9F5EEkJBvoiIiKS9HeVnutPFTc9Cz0F3vn9zKMjfb/Pd6UN7Q91tNrV38qXMe0I7PPHjsORy8PgAKDMH8fV30tIZejhXJJEU5IuIiEja85bV8XrA6S/fE+gLtd53t5Ox90UAAtZwt/9sd5vO3a+70zN3/Jk5GQ0A9GYWwIovQEYGlNSH1jFN6kZTJoyCfBEREUl7lQXZPBJYHip4M5iXv201GdYPwAZbz/OBUO6+bQ32sNPXxbnNv3HLdy/8GOSWOjOls93yetOkh29lwijIFxERkbRXWeDjEf9xoYLND4G/Hzb+1S1aHVhKYW2oG8z8jrecibW3UepvBaDFFtFz/L+E9hMW5NeZJnbuG/xQrkgiKMgXERGRtFdZ4GODnUWDDbbAd7XB/Z+AV+9213mGZZxzynF0Wy8A+f37nfXW/o+7zk39l1BVXhraceksd7JOLfkygRTki4iISNqrLMwGDKvCW/PX/8GdfMy/DDvjFI6uKWWrnR62zr3Q4jyAe9j6+ItZSUmuN7Q8LMivz2iMmZP/zJZW7lyzk65ef9zOR0RBvoiIiKS9ygKnF5xV4Xn5QS8G5vPpvs9y6txy6spy2UooyA88+QN3+qHA8RQUFkV20VkSCvJnmmZ2t0Wm66zd0cZVv17D1+9bz08f2xyv0xGJHKFZREREJB3l+TLJy/LwbO8iOm02+cYZwfatjHo+0v0lusjmlDlleD0Z7Muph55nAcg41OTu4z7/CqYVZkfuuHgm1ngw1k+12c/+9nZ6+/rJeuzb0LGXPx68jIGu8599a99EnKqkCbXki4iIiOCk7PTi5Vf9FwJgqxZzTe9X6cDpG39eZQEAvcXzBm3bbIt5OrCYqugg3+PFFM9wZ2tppv252+HZm+G1P/Gh7V8ml+AXipZOrNVgWRIfCvJFREREgIpgys5P/e9hzXvW0PC+h9jTXwhASa6XomCuvW/aUYO2vd9/Gn48g1vyIaobzUYy3nzAnZ+fsYcbvLcCloPd/bR29sbxjCSdKcgXERERIZSXD7CnP5/tbd3ufH15njtdMnMhfmsitr3PvwKAaUXDB/kLzC6K9j4dsfhizzNc43kYcFrzReJBQb6IiIgIzoBYA5o6etjeGuoJp74sFOTPqS5nl6105zcGZrDROqPlnjgrrPvMAWEP316R+TiZge5Bq3wz8w6WmS1sbTk0rnMQGaAgX0RERASoLAy15Dcf7GbHvlDAXVeW607Prshji61x5wda8T911hyW1hYP3nFYS36taXWnb+2/gFcDzhcAr/Hzhcx71ZIvcaMgX0RERITIdJ3mgz1sDwvyZ4Wl62R7Pfw192I6bC6vB+q423825x89jS+dtyD2jsP6yg/3N//JfNV83p0/LWMDLY27x3kWIg51oSkiIiJCZLpOS0cP7V197nxdWLoOQOf0FRy3cRb9ZLK4ppAfve8YMjIi8/RdJfWDilpsES/bOXzspLkc3nkCuY0vkGkC1DWtAs6Lx+lImkualnxjzKnGmL8bY/YbY7qMMa8aYz5vjPGMcj92mL/nElV/ERERmdqqwtJ1mg52s2N/WEt+VJD/iTNnU5yfy7IZxdxyzfHkZg3TburNgcKaiKLD9W/jW+9azJfOW4D3mMvd8hU9T9Ldp5FvZfySoiXfGHMx8EegG/g9sB94F/Bj4DTg8qG3jmkHcFuMcv0GJiIiIjGFt+Tv3H+YgS7ri8O6zxxwfH0pz3/9XIwhcoTboZTMgo497mzdqZfz4QXBNJ4l78b/0FfxEOAE8ybbdmxhztwhUn9ERmjSg3xjTCFwC+AHzrLWvhgs/ybwGHCZMeYKa+3do9jtdmvtd+JeWREREUlZhTmZZGVm0NsfIHxMquhUnQFDpufEUjoLdvzTmfbmwuwzQ8vyK9mYvYzF3S+RYSy9r/4J5n5tDGcgEpIM6TqXARXA3QMBPoC1thv4RnD2k5NRMREREUkfxpiIh28HzArrWWfMwnrYYc7ZTgpPmK1Vb3enS7Y9gMh4JUOQf3bw9R8xlq0GDgOnGmMGv+uGVmyM+Ygx5uvGmE8bY04edy1FREQk5cUK8odqyR+VJZdDbhl4fHDa5wYt7p7zDnqt8xjitIOvwf6t4z+mpLVJT9cBBpLONkUvsNb2G2O2AUcDs4GNI9znMcCvwwuMMa8AV1tr149kB8aYtUMsGjyWtYiIiKSE8Lz8AeHdZ45Z8Qz4wmtgLWQN/mVgRk0NqwNLOdezzinY8Ec448vjP66krWRoyS8KvrYPsXygPMboEjH9COdh3QqgADgBuBcn8H/MGFMzzLYiIiKSxsIHxBpQF490HXBSdGIE+ABzKvL4i/9Ud96+fCcEAvE5rqSluAT5xpjtR+i6MvrvjngcNxZr7fXW2mesta3W2k5r7YvW2stxeu8pB740wv0sj/UHvJGououIiMjkipWuUx+PdJ0jqCjw8Zz3JDqs8yXA7N8Kbz2W8ONK6opXus5bON1fjtTesOmBlvqiWCuGlR8YbaWi/AK4FDhjnPsRERGRFBWdrlOU46UkLyvhxzXGUF1Rxh8az+SjmQ86hS/cAvPOTfixJTXFJci31p4zjs3fBI4H5gMRefDGmExgFtAPjPcJlJbga+K/jouIiMiUVBGVrlMfr1SdEZhTkc/te84NBfmbHoK27TFHzBU5kmTIyR/4Ler8GMvOAHKBZ6y1PeM8zkAPO3pcXURERGKKTtepj8dDtyM0uyKP7baaJ/1LgyUWXvj1sNuIDCUZgvx7gVbgCmPM8QOFxphs4HvB2Z+Hb2CMyTXGHGWMmRlVvtQYEzkkXbAc+H5wNmHPA4iIiMjUFp2uE5fuM0doDFx0uAAAIABJREFUTkU+AP/jP88t86+9Hfq6JqwOkjomPci31nYAHwM8wBPGmFuNMf8FvAycgvMl4PdRm52I053m76LKvwg0GmPuN8bcZIz5oTHmr8BLQBnOyLp3Je5sREREZCory8vCEzaS7USm65w4q5SC7EyeCCxjV6ACAE9PG6/edyMRQ/CKjMCkB/kA1tr7gTNxBr+6FLgO6MMJ2q+wdsR39v3Ak8Bi4IPAZ4HlwIPAxdbaj49iXyIiIpJmMjIMFfmhlJ2JTNcpy/fx1+tWcMHSGm73hx64Xfr6D+CWlfDG30YX7B/ery8HaSwpgnwAa+3T1tp3WGtLrLU51tol1tofW2v9MdZ9wlprrLVnRZXfb619j7V2rrW20FqbZa2ttta+y1r7lwk7GREREZmyzllYCUBtSQ5HTy+c0GPXleXx3+8/jgs/9BV22YrQgr3r4O73w0NfP/JOAn7486fhv2bBne9VoJ+mkibIFxEREUkG373oaO782En89boV+DI9k1KHpfNm8bXiH/Lb/rfTbcMeN1z3v8MPkmUtPPgVWBd8BHHzw9C6KbGVlaSkIF9EREQkTKYng1PnlFOcm/j+8Yczo2423+3/IKf3/D+6vCVOYU/78EH7Uzc6/euH2/ty4iopSUtBvoiIiEgSOqa2GIAWinnTuyi0YPfzoenWLfDov8P9n4Y7LoPH/n3wjhpeSXBNJRnFa8RbEREREYmjY2YUu9PP9sxiGU87M7tfgOOuAX8f3H4JtO8avHH+NOhsdKYb1JKfjtSSLyIiIpKE5lXmk+11QrUnDs8KLdj1gvO687mYAX6g9kS45s+hgoZXh8/jl5SkIF9EREQkCWV6MlhSUwTAq3YWARN8CLjlDehuh03/CK087zx+Vf1vXNLzb5ze8lVWtRRDbrmzrPcg7N86wbWXyaYgX0RERCRJLQ3m5XeRTUvu3GCphT1r4c0H3fUOLv0w/7FtLi/buexp7+ba29ey3oa1/itlJ+0oyBcRERFJUuF5+euZF1rwyt2w/y1n2pvHGnv0oG2fPDg9NKMgP+0oyBcRERFJUsfUFrnTjx+qDy149Z7Q9JyVPLfzkDs7ozQHgPWBsJZ8daOZdhTki4iIiCSpmaW5FOc6g2E93RMWtBM2iu3883l++3539rsXHc1Fx0xnQ3iQ3/CqRr5NMwryRURERJKUMcbtL3+7nUZPVnH0GnTWnc2GPe3B9WF5XSnLZhSzh3LabL6zWk87tG2bwJrLZFOQLyIiIpLEQik7hh05iyIX1iznxVYvgWAj/cJphRTleFk2sxgwStlJYwryRURERJJY+MO3L/TPjVy44Hye3xZK1TlxVikAi6oL8XoMGyJ62NHIt+lEQb6IiIhIElsWFuT/48CMyIXzL2BNWJB/8mwnyM/2elhUXciGQH1o3Vg97PR1KVc/RSnIFxEREUliZfk+FlUXArDWP4c+b4GzoHw+XSVH8eruA+66J9SXutPHzCiO6iv/lciAfsOf4D/r4BcrnMG1JKUoyBcRERFJcqfPd0avPUw2t9fdACd/Ct77O9btPkCf3wnc51bmU5bvc7dZNqOYXbaSdpvrFHS1RY58+9SN4O+Bpg2w5pcTdi4yMRTki4iIiCS5M+ZVuNO3N86A82+AyoUx8/EHOGk+hrWB+aHCtx5zXjsanOB+wHM/g57ORFRdJomCfBEREZEkt7yuhGyvE7Ztaz3Erv2HAVizNRTknxQV5M8qz6Mox8vjgWWhws0PO68Dwf6ArjZY+9v4V1wmjYJ8ERERkSSX7fVw0qwyd/6pza00dXSzdmebWxbdkm+M4ZgZxZFB/rbV0HsYtqwafJBnboK+7oiiQMDy9/UNPP5Gc3xORCZM5mRXQERERESO7PR55Ty5qQWApza3sG5nG739AQAW1xRSXZQzaJtltUWs3lTJ5kAN8zL2QH83bHsStj7urnPI+sgzPdDZBGt+DnmVTkt/8Uz+rfNibntuDwC3f/RETg9LG5LkpiBfREREZAo4Y34F/G0jAI+/2UxPMMAH+Or5C2Nu4wyKBY8HljlBPsDqHzjpOUCzLeaX/e/km97/dZat+k7E9rl9e4CLAXh0Y7OC/ClE6ToiIiIiU8C8ynymFWYD0N0XcHvDPOeoSlbMK4+5zTG1oSDftWetO7k6sJQ7/eewzxbE3P4TmX+hlA4AXm/oGO8pyARSkC8iIiIyBRhjOD0qmM/MMHztHbFb8cHpY39GaQ4vBhZw0A5O51ntX0oX2fzf/ivcst5px7IXp8W+0HRxXeZ9AGxs6MBq4KwpQ0G+iIiIyBRx+vzIdJmrTq5jbmX+sNvMqcinj0z+GVgcUR6whqeCZff4V/LxklvhC69zfdGP+VbvNaFjeFZRbxo42N3P7rauOJ2JJJqCfBEREZEpYsXccnyZTvhWmJ3J586Zd8Rt6svygKiUHeBVO4s2Ct35VY25vNCWwwOv7GVV4DjWBI4CwGv8fDnz94DTmi9Tg4J8ERERkSmiNC+Lm648louOmc4d155ESV7WEbepK3NGvH3CHxnkPxk4JmI+YOEzd74UnDOsqr3OXfZOz/McazazseHg+E5AJoyCfBEREZEp5Lyjp/HTK49lafCh2iMZaMlvpoSt3lDL/0DQf9S00EO3TR097vS7L7wIjn63O3995j283tAe+yDtu6FxQ+xlMikU5IuIiIiksJnBlnyAG8y1ULeC27zvY511Av5Lj6sdtM07l1SzaHohnP1NrPEAsMLzGlm7nx18gMYNcPMJ8IvT4OW7EnMSMmoK8kVERERSWG1JDhnGmV51cAbdV/2F/zgcaqG/aNl0PAMrAMbA588NtviXzSGw9H3usqu67uBgV2/kAR7/D+g77Exv+GNCzkFGT0G+iIiISArzZXqYXux0n2ktvLzrAL1+ZyCtwuxMqgqzWVpb5K5/ybIa5lWFUng8Z32FfpzW/JMy3mDPuodCO296Dd78W2i+8dUEnomMhoJ8ERERkRQ3kJcP8Oxb+9zpgeD/qpPqAOfB3i++bX7kxiX1PF/8Dne29Pkf4I7E9dSPItftbIKDTXGsuYxV5mRXQEREREQSa2ZZLmxxpp/dOjjIv3R5LSfOKqUwx0tRjnfQ9tsXfYrlTz+Iz/RTeeAVWP1DOPoSeO1Pgw/WuB4KqhJyHjJyaskXERERSXH1YQ/frtvZ5k5PL852p2eU5sYM8AFmzprPXf6zQwWPfw9uPQdsYPDKja+Mv8IybgryRURERFJcXVi6Tp/futPVRTkj2n5hdQE39r+XFwNhqTzdoe40H/GGfQFoXD/2ikrcKMgXERERSXHhOfnhaopHFuSX5fvILSzhit5v8N/9F2EJ9cbzmvdoftoZCvL7dqslPxkoyBcRERFJcTNLc2OWVxdlxyyPZWF1If1k8oP+K3hw2c+guI7OzGL+tfP9bLK19FsnrPS2b+VQR9sR9iaJpiBfREREJMXlZHmoKvQNKp8+wpZ8gEXVhe70p54r4lLvf7Ok82Zes7PoIYsttsZd/vN7/oK1NtZuZIIoyBcRERFJA3VRKTvGQFXhyFvyLz9+BuX5We782l0d2GAo+Y4l08iescxd1rFtLXc9v2ucNZbxUJAvIiIikgbCe9gBqMj3kZU58lBwVnkej3zhTK48cUZE+ezyPP7vpUupP/pkt+xos4P71u0eX4VlXNRPvoiIiEgaiG7JH02qzoCSvCxueM9SLltey09WbaanP8AN71lCQbYXqpe66y3K2M6GPR30+wNketSmPBkU5IuIiIikgbqolvzwPvJHa3ldKbd/9KTIwmlL3Mn5Zjd9vT1sbu5kYVgufyzth/t4raGdE+pL8SbZF4KO7j5Wb2qhpjiHGaW5lOcPfq4hWSnIFxEREUkD0d1oTh9hH/kjllMCRTOhfSc+089cs5dXdh0YNsjv8wd436+e5Y3Gg7xjyTR+9oHl8a3TOG1qPMhn7lwHwNLaIv7ymRWTXKORS66vSyIiIiKSEDOjWvKrx5Cuc0RhKTtHm+28srt9mJVh9aYW3mg8CMCjG5uTrkee3W1d7nRtSQKuVwIpyBcRERFJA4XZXkrzQr3j1IwjXWdI00JB/pKMrbyy68Cwq/9p3R53uqc/QEdXf+wVm16Hv10PWx6NSzVHqr1xK09mfZ5bvD/ksq4/TOixx0tBvoiIiEiaWFhd4E7PrcyP/wFqjnMn3+t5ko6mbXT1+mOu2tHdx6rXm4JzTgt+08Hu2Pu97+Pwwq1w9/vhYCOHe/vp9wegeSPc9X545qZ4noXLNm2kLqOZt3leYlHn8wk5RqIoyBcRERFJE1+7YCFnzq/gX89fwNzKgiNvMFqzz4LKRQDkmh6+5bmN1xtip+z8Y30jNf7d/Nr7A9b7ruUjngdpbI8R5Pcegsb1znR/N2vuu5lF33qID9zyHIE/fBje/Bs8/A1o3Rz308lue9Od7itbEPf9J5KCfBEREZE0sbimiP/5yIl86qy5iTmAxwsX/sSdPc+zlv1r7x+8Xk8nvif/jX9kfYVzPOsoMF1cn3kPzQcODl43Knif9tY9gMW7czUZLRuHXC8eSg695U57qxfFff+JpCBfREREROJn5klsqrnUnV3++g3Q0xlaHvDTe8t5XNx5D1kmlMqTZ3qwe18evL+WNyNm60wTJ2ds5KOev0eu19kYl+oPsNZS07fdnS+YuWTolZOQgnwRERERiaueld9in3XSgUr7m+GZn4YWtm4iq/U1d7bbet3poqYYee8tbwwq+nLm71npeSWy8GB8g/zWji7mEHowOK9GQb6IiIiIpLH59TP4of9Kd75/0yPutD2wy51+ITCfuys+685XH1g7eGetmwYVLc+IkZoT5yC/ZfcmckwvAPtNMeSVxXX/iaYgX0RERETiypfpoaniFHfe3xYK7A80bXend1HNwlPe4c7P7V4P/qhuNMNa8g/YyAG9wgXiHOQf2rXenW7Mnh3XfU8EBfkiIiIiEnczZs7Gbw0Avu4W6O8BoKd1p7tOb1410+sX0mBLAcixXdAYlobT3wP7twIQsIab+i+JOEYnoQGquvfvIZ5s0+vudEf+nLjueyIoyBcRERGRuFs8o4xGSkMFHU4QbttDrfqHc6qpLMpmTeAotyyw7enQNvveAhsAYLct5x7/SvozQoN4PVJ8hTudcaiJeMo+EEoJ6is7apg1k5OCfBERERGJu3lVBeyx5aGCYC6+5+Bet6g3bzq+TA/rMxe7ZX1bV4e2CUvV2WJr6MrII7Dy605B/em8WhvK+8/q3geB2ANvjUVJ5xZ32jttYdz2O1EU5IuIiIhI3JXlZbHXhj2s2r4bAN/hBrcoUFADwI78Y92yzN1rQsF6WPeZm20NcyvzyTr9c/D1vXD1/ZSUlLq9+GQQgEMt8am8v4+qvtAvDgUzl8ZnvxNIQb6IiIiIxF1ZfhZ7w1ry7YGdYC153aG0msySWgD6iufQYosA8PR2QNMGZ4WolvyF1YXOTFYeeDKpKvTRbItDBz0Y+gIRrqffj7V2xHW3+94iC+cB4L22lOqqqhFvmywU5IuIiIhI3OVmZdKcUenO97XtgkOtZFqnW8oOm0t+YQkAVUXZrAmEpcRsD+blh3WfuTlQy8LqgohjVBZk02xLQgUHB+flr93RxgnfW8WZP3iC1s6eEdX98J4N7vRbzKQk1zvM2slJQb6IiIiIJERn9jR32t+2Ezp2u/N7bRmleVkATCvM5rnwIH/H005Xmq2hh1+32Oksqi6K2H/lCFry73huBx3d/ezcf5i7n985aHks4d1nNvhmYYwZ0XbJREG+iIiIiCRET950d9q074L2UDeX4UF+ZWFUS/7WJ2H38xDoA6DBltJJ7qCW/KrCbJoIa8nvHNySv6W5051eval1RPUONG90pzsKpl73maAgX0REREQSZODBWgBv514I6z6zISzIryrMZrOtYVsgmPveexD+eK277uZADZUFPsryfRH7L83NojWsm87+9r0Ry621bG0JBfkv7Wyjo7vviPXO3h9KE+qdgt1ngoJ8EREREUmQ3IIS2m0uAJ5ALzSEBrqKTtcBw7f6PxzauCPU6h/x0G2YjAxDd3aFO993IDJdp/lgD129fbw943nOzViLJ9DDM1v2DV/p/h4KD4fSerxVU6/7TIDMya6AiIiIiKSmsnwfe205RcYJmu3OZxnIbm+klKIc54HWqkKnhf6pwFLuZyWX8HjEfjbbGhZNHxzkA/jzp8EBZzrQERnkb9vbyi+9P+ZtnrUAHLI+tqxaAdmfhrnnxK5062YycLrw3BGoZFp5aez1kpxa8kVEREQkIcrzs9gd1o2madvuTnf4puHJcEL+snyfO/2t7iux+ZFdVm4OxG7JB/AUhB7u9YSPett1gFkPXe0G+AB5podjDjwKd7wHNj0cu9Kv3OVObrK11JTkDH+SSUpBvoiIiIgkhNNXflnMZd251e60J8NQEcy37yCffWfeELHuFlvDoqiHbgdkl4T2k9Xd6gykdWgf3HYhVW0vucv22qgW+bW3Dd7Zlkfh2Zvd2YcDx1NbrCBfRERERMRVmueLGBArnD+vOmJ+IGUHYHvFSrqO+zgAd/afTbe3iFnl+TH3U1ZUwH7rLHNGvW2Fx78PTaFuML/f937eZn/Ge3u+Gdpw88PQ1Raa72yB+z7hzj7hP4a/mLMoj3rYd6pQkC8iIiIiCVGWl8WeGEF+iy2kMD8yaK8szHanmzp6WLvwK8zr/h1f77+WBVUFbjpPtKrCbJoiBsRqgE3/cGe/3vdRbvFfyGXLZ/C8XcjLgdnOgkAfbHzAmbYW/vwpONQcrF8RX+r7BNOL88gY4rjJTkG+iIiIiCREeb4vZrrOXltOSbBnnQHTIoL8bjY2dNAX7CNmqHx8cAbEagkfEGv7P92eeTpsLr/3n0WGgatPqQfgAf+poXXX/8F5Xftbp2U/6Pq+T9BKEbVTNB8fFOSLiIiISIKUDtGS32DLKIsK8sPTdQaC/AFD9azjbBfVkv/K3e7ks4FF+PFQW5LL3Mp8Zpfn8YD/FAI22Dq/7SnY8xI88m13mxer38/qwDEAzCzNHdmJJiEF+SIiIiKSEFmZGXRnl9NrPRHlDbZ0UEt+VVhL/lsth1i7M5QvP2xLfoGPZsJa8sNy8Z8OHA3AnIo8AM5aUEkzJTwbWBRcw2Jvfzf0BL9QlM7h+z2XudufPi/28wRTgYJ8EREREUmY0vwcGqN6ttkbsyU/FOSv2tjEjn2HAfB6DEdNi92zDkBJbhatJnZf9k8HFgMwu8LJ///0yjnMKs/jz4FQyo7pPuBOt539X6zb2w1AZobhtLkK8kVEREREBinLy2IvkcFygy0btiU/3OfPnU9BtnfI/WdkGHqyKweVH8is4C07HYDZwZb8snwfD1y3ArPwInps1Jiwx17FI10L3NkT6kuHPW6yU5AvIiIiIglTlj84Lz9WS/60qCA/KzODGy8/hk+vnHvEYwSiBs8CWOtZCsHxdWeHdb+Z78vkPz9wOo2VK9yyVltExxnf5vE3m92ylUdVHPG4yUxBvoiIiIgkTFm+jz1RPezsjdGSX5iTyXEzndz66qJs7v3EKVy6vHZExzAF1YPKVnUvdKfnVOZFrm8MMy/8Cv146LUe/k/fR7h7/UGe2tzqrrNyweBfB6aSzCOvkljGGC/wKWAZcCywCPACH7PW3jrGfZ4KfAM4GcgBNgO/AW6y1vrjUW8RERERObLyvKyIAbH6bQbNlFCaGxnkG2O449qTeHF7G8vrSsjzjTxMzS6php2RZY/2OEF+gS/THU034nh1p/LXM//Kjx5+g522iicf2UR3XwCA2pIc5lbGHnxrqkiGlvw84CfAh4BpQON4dmaMuRhYDZwB3AfcDGQBPwbuHmZTEREREYmz6G40myjB5/WSk+UZtG5uViZnzK8YVYAPUF5c6I56C3C4aB7NON1qzq7Iw5jYA1qdd9qJHPDVALgBPjit+ENtM1UkQ5B/GHgHMN1aOw2nxX1MjDGFwC2AHzjLWvtRa+2XcX4leBa4zBhzRRzqLCIiIiIjUJbv4/VAHV3WablfG5hPaVSqznhVFvhoDusrf2fxCe70QM86seRmZXLFiTMHlU/1fHxIgiDfWttrrX3QWtsQh91dBlQAd1trXww7RjdO+g7AJ+NwHBEREREZgbL8LPZRxDW9X+WGviv5bt818Q/yC7PZaUM59Gszj3WnB/rIH8rVJ9eREdZo78vM4JTZU7frzAGTnpMfZ2cHX/8RY9lqnF8NTjXG+Ky1PRNXLREREZH0VB7Mh3/BHsUL/qMAWBznIL+q0MeX+99NpWljq2cON2yuBSwA86uG7mMfYEZpLucsrOKR15sAOGVOWcxUoqkm1YL8gc5NN0UvsNb2G2O2AUcDs4GNw+3IGLN2iEVHjauGIiIiImkkVqt9vFvyqwqyWW9nc0nv94IlToA/pyKPMxccOfXmurPn8uSbLfT6A3zgpLq41m2ypFqQXxR8bR9i+UB58RDLRURERCSOSnKzMAasDZXFO8gvzvWS5cmg1x96eDbDwA8vPwZf5pFb5ZfWFvPkv55Fd1+AWeXDp/dMFXEJ8o0x24HRfO35X2vtVfE4dqJYa5fHKg+28B83wdURERERmZI8GYbS3Cz2Hep1y+Id5BtjqCjwsedAl1v2L2fO4diZJcNsFam6KCeudZps8WrJfwvoHsX6e+N03GgDLfVFQywfKD+QoOOLiIiISJSy/MQG+eDk5Q8E+fOr8vn8ufPifoypJC5BvrX2nHjsJw7eBI4H5gMROfXGmExgFtAPbJ34qomIiIikp7I8H9Dpzpfkxj/IP2VOGS/tPIAvM4MbL182ojSdVJZqOfmPAR8Azgfuilp2BpALrFbPOiIiIiITpzQ/Mqgvy49/kP/Fty3guJkl1JXlTfnRauNh0vvJHwtjTJEx5ihjTHXUonuBVuAKY8zxYetnAwOPW/98gqopIiIiIkB5VHpOIlryPRmGcxZWKcAPSoqWfGPMVwl1Tbks+PphY8yK4PQ/rbW3hm3ybuC3wP8AHxootNZ2GGM+hhPsP2GMuRvYD1yE073mvcDvE3UeIiIiIjJYWbCv/AGJyMmXSEkR5OOk15wZVXZq8G/ArYyAtfZ+Y8yZwP8BLgWygS3AF4GfWhvegZOIiIiIJFp4ek6GgaIc7yTWJj0kRZBvrT1rlOvfBtw2zPKngXeMq1IiIiIiEhfOg7eO4twsPBlmEmuTHqZkTr6IiIiITB3hLflK1ZkYCvJFREREJKGW1BRRVei05p+7sGqSa5MekiJdR0RERERSV7bXwyNfPJPNTZ0cO6N4squTFhTki4iIiEjCFWZ7WV5XMtnVSBtK1xERERERSTEK8kVEREREUoyCfBERERGRFKMgX0REREQkxSjIFxERERFJMQryRURERERSjIJ8EREREZEUoyBfRERERCTFKMgXEREREUkxCvJFRERERFKMgnwRERERkRSjIF9EREREJMUoyBcRERERSTEK8kVEREREUoyCfBERERGRFKMgX0REREQkxRhr7WTXYUoxxuzLyckpXbhw4WRXRURERERS2MaNG+nq6tpvrS0b7bYK8kfJGLMNKAS2T/Chjwq+vjHBx53KdM1GR9dr9HTNRkfXa/R0zUZH12v0dM1GZ6KvVz3QYa2dNdoNFeRPEcaYtQDW2uWTXZepQtdsdHS9Rk/XbHR0vUZP12x0dL1GT9dsdKbS9VJOvoiIiIhIilGQLyIiIiKSYhTki4iIiIikGAX5IiIiIiIpRkG+iIiIiEiKUe86IiIiIiIpRi35IiIiIiIpRkG+iIiIiEiKUZAvIiIiIpJiFOSLiIiIiKQYBfkiIiIiIilGQb6IiIiISIpRkC8iIiIikmIU5Cc5Y0ytMeY3xpi9xpgeY8x2Y8xPjDElk123yWKMKTPGXGuMuc8Ys8UY02WMaTfG/NMY81FjTEbU+vXGGDvM392TdS4TJXjfDHX+jUNsc6ox5u/GmP3Ba/yqMebzxhjPRNd/ohljPnSEe8YaY/xh66fFPWaMucwYc5Mx5iljTEfw3O44wjajvo+MMRcaY54Ivq87jTFrjDEfjP8ZJd5orpkxZp4x5ivGmMeMMbuMMb3GmCZjzJ+NMSuH2OZI9+onEnuG8TXK6zXm950x5oPGmOeD91d78H67MHFnljijvGa3jeCz7dGobVLmHjOjjB/CtpuSn2OZE3kwGR1jzBzgGaAS+DPwBnAi8DngfGPMadbafZNYxclyOfBzoAF4HNgJVAHvAW4FLjDGXG4Hj/T2CnB/jP1tSGBdk0k78JMY5Z3RBcaYi4E/At3A74H9wLuAHwOn4fwbpLKXge8Osex04GzgwRjLUv0e+wZwDM49sxs4ariVx3IfGWM+A9wE7APuAHqBy4DbjDFLrLVfitfJTJDRXLN/B94HvA78Hed6LQAuAi4yxnzOWvvTIbb9M859G+3FMdZ7sozqHgsa1fvOGPND4Prg/m8BsoArgAeMMddZa28eQ70n02iu2f3A9iGWXQ3MJvZnG6TGPTbq+GFKf45Za/WXpH/AQ4AFrosq/1Gw/BeTXcdJui5n47zBMqLKp+G8YS1waVh5fbDstsmu+yRes+3A9hGuWwg0Az3A8WHl2ThfOi1wxWSf0yRey2eD1+CisLK0uMeAlcA8wABnBc/5jnjdR8Hr2I3zH2N9WHkJsCW4zSmTfR0SeM0+BBwbo/xMnCChB6iOsY0FPjTZ5zoJ12vU7zvg1OA2W4CSqH3tC95/9eM5h2S+ZsPsoxg4HLzHylP1HmP08cOU/hxTuk6SCrbin4cTnP131OJvA4eAq40xeRNctUlnrX3MWvuAtTYQVd4I/CI4e9aEVyx1XAZUAHdba90WGmttN06LEcAnJ6Nik80YswQ4GdgD/G2SqzPhrLWPW2s32+D/WEcwlvvoI4APuNlauz1smzbgP4KzUyY1AEZ3zazO3jkdAAAHnElEQVS1t1lr18UofxJ4AqfF+dT41zJ5jPIeG4uB++f7wftq4Ljbcf6v9QEfTtCxEyJO1+xqIAf4k7W2NU5VSzpjiB+m9OeY0nWS10D+5cMxbsaDxpincb4EnAw8Gr1xGusLvvbHWDbdGPMvQBnON+xnrbWvTljNJp/PGHMVMBPnS+KrwGprrT9qvbODr/+IsY/VOK09pxpjfNbanoTVNjl9PPj66xjXDXSPhRvLfTTcNg9GrZNuhvtsA1hmjPk8TgvjHuBxa+3uCanZ5BvN++5I99g3g+t8O+61TG4fC77+aph1Uv0ei/Uem9KfYwryk9eC4OumIZZvxgny56MgHwBjTCZwTXA21pvrbcG/8G2eAD5ord2Z2NolhWnA7VFl24wxHw62FA4Y8t6z1vYbY7YBR+Pkbm5MSE2TkDEmB7gK8OPkbsaS7vdYuLHcR8Nt02CMOQTUGmNyrbWHE1DnpGSMqQPOwQkoVg+x2uei5v3GmFuBzwdbHVPZiN53wV++a4BOa21DjP1sDr7OT1A9k5Ix5hRgCbDJWvv4MKum7D02TPwwpT/HlK6TvIqCr+1DLB8oL56AukwV/wksBv5urX0orPwwzgNty3Fy4kpwclwfx/lZ7tE0SHv6LU6QMA3Iw/lA/yVO7uCDxphjwtbVvRfbe3HO+R/W2l1Ry3SPDTaW+2ik2xQNsTzlGGN8wP/i/Pz/nfAUk6BtwHU4gUUeMB3nXt0O/Avwmwmr7MQb7ftOn22xDfxCecsQy9PhHhsqfpjSn2MK8iUlGGM+i9Nbwhs4uYUua22ztfZb1tqXrLUHgn+rcX4JWQPMBa6d8EpPIGvtd4O5iE3W2sPW2g3W2k/gPMSdA3xncms4JQz8R/jL6AW6xyQRgt3z3Y7Tg8fvgR9Gr2OtfdJae7O1dlPwvd1grf0DTspnG3Bl1Jf4lKH33fgZY4pwAvZe4LZY66T6PTZc/DDVKchPXkf6pjdQfmAC6pLUgl1V/T+cbudWWmv3j2Q7a20/obSLMxJUvWQ38KBR+Pnr3otijDka54HH3ThdG45Imt9jY7mPRrrNUC1kKSMY4N+B0z3fPcBVo3mwMvhr08C9mlb33jDvO322DXYVkMsYHrhNhXtsBPHDlP4cU5CfvN4Mvg6VGzgv+DpUzn5aCD4EdBNOf8grg0/Ij0ZL8DXdUikGxDr/Ie+9YN7iLJwHk7YmtmpJ5UgP3A4nXe+xsdxHw21TjXMNd6d6Pr4xxgvchdN3+53A+4OB62il670HMc7dWnsI54HR/OD9FC0d/18deOB20C+UIzRl77ERxg9T+nNMQX7yGnj45bzoEdiMMQU4P98eBp6b6IolC2PMV3AGo3gZ5w3aPIbdnBx8TaeANVys838s+Hp+jPXPwGn1eSZdetYxxmTj/ITrB349hl2k6z02lvtouG0uiFonJRljsoA/4LTg/w64egxfLAecFHxNt3sPhn7fpf09NsAYcxLOIFqbrLVPjHE3U/IeG0X8MLU/x2wSDE6gv9h/aDCs4a7NN4PX4EWg9AjrHkfUwBfB8nNwBqywwKmTfU4JvFYLgbwY5fU4vUlY4Oth5YU4rTMaDMs576uD5/zAMOuk3T3GyAbDGtV9hNMqlhSDyEzSNfPhjL9gcdJNBt1TMbY5PkZZBvC14H5agMLJPvcEXa9Rv+9IwcGwRnPNotb9dXDd69PpHmN08cOU/hwzwQNLEgoOiPUMUIkznPRGnG/NK3F+TjzVWrtv8mo4OYwxH8R5QMiP81NbrLy27dba24LrP4HzM+wzODnVAEsJ9VP7TWvt9xJX48lljPkOzkNFq4EdwEFgDvBOnA+qvwPvttb2hm1zCXAvzgfV3TjDeF+E07vCvcB7bZp8eBhjngJW4Ixw+8AQ6zxBGtxjwfvikuDsNODtOC14TwXLWm3YcO1juY+MMdcBP8X5D/L3hIaDrwVutBM1HHycjOaaGWN+izO6aCvwM5xgINoTNqzV1RhjcdINXsFJRSnC+aV3Mc6vve+21j4c15NKoFFerycYw/vOGHMj8MXgNvfiDDL2Ppx+9q+z1t4c37NKrNG+L4PbFAJ7cbpSr7XD5OOn0j022vghuM3U/Ryb7G9U+hv+D5iB0/1hQ/Am2QH8hLAWiHT7w+kJxh7h74mw9T8K/BWnu69OnG/kO3HeeKdP9vlMwPU6Eye/9w2ch4P6cFomHsHpF9gMsd1pOF8A2oAuYD3wBcAz2ec0gdduYfB+2jXceafLPTaC9972eNxHOMPOP4nzhfQQ8AJOn+eTfg0Sec1wRrU90mfbd6L2/4PgtdqLE4QcDr7XbwZmT/b5J/h6jfl9h/Nl6oXg/XUweA0vnOzzT/Q1C9vmk8Fld41g/ylzj43gWkXED2HbTcnPMbXki4iIiIikGD14KyIiIiKSYhTki4iIiIikGAX5IiIiIiIpRkG+iIiIiEiKUZAvIiIiIpJiFOSLiIiIiKQYBfkiIiIiIilGQb6IiIiISIpRkC8iIiIikmIU5IuIiIiIpBgF+SIiIiIiKUZBvoiIiIhIilGQLyIiIiKSYhTki4iIiIikGAX5IiIiIiIpRkG+iIiIiEiKUZAvIiIiIpJi/j8zpEq7S5+i/gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 248,
"width": 380
}
},
"output_type": "display_data"
}
],
"source": [
"df_fitted0 = dfm0.smooth(params=res0.params).fittedvalues\n",
"df_fitted1 = dfm1.smooth(params=res1.params).fittedvalues\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.plot(x, df_fitted0.y0, label='Model 0 y0')\n",
"ax.plot(x, df_fitted1.y0, label='Model 1 y0')\n",
"ax.legend();"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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