From 4f61176e521dac9c1e2cc8ea16adb2fda0192c54 Mon Sep 17 00:00:00 2001 From: ritchie46 Date: Fri, 21 Sep 2018 16:20:45 +0200 Subject: [PATCH] ARMA init AR has same result as statsmodels --- time-series/ARMA.ipynb | 548 +++++++++++++++++++++++++++++++++++++++++ 1 file changed, 548 insertions(+) create mode 100644 time-series/ARMA.ipynb diff --git a/time-series/ARMA.ipynb b/time-series/ARMA.ipynb new file mode 100644 index 0000000..61ba01a --- /dev/null +++ b/time-series/ARMA.ipynb @@ -0,0 +1,548 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy import stats\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import statsmodels.api as sm\n", + "from sklearn import linear_model\n", + "from sklearn import metrics\n", + "from statsmodels.graphics.api import qqplot" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "::\n", + "\n", + " Number of Observations - 309 (Annual 1700 - 2008)\n", + " Number of Variables - 1\n", + " Variable name definitions::\n", + "\n", + " SUNACTIVITY - Number of sunspots for each year\n", + "\n", + " The data file contains a 'YEAR' variable that is not returned by load.\n", + "\n" + ] + } + ], + "source": [ + "print(sm.datasets.sunspots.NOTE)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "data = sm.datasets.sunspots.load_pandas().data" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "data.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n", + "del data['YEAR']" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12, 8))\n", + "ax = fig.add_subplot(211)\n", + "fig = sm.graphics.tsa.plot_acf(data.values.squeeze(), lags=40, ax=ax)\n", + "ax = fig.add_subplot(212)\n", + "fig = sm.graphics.tsa.plot_pacf(data.values.squeeze(), lags=40, ax=ax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Autocorrelation\n", + "\n", + "Let's look how autocorrelation is defined. First we make a function that computes the Pearson correlation between two sequences that are assumed to come from a Normal distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "x = data.values.squeeze()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.999687011702813" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def pearson_correlation(x, y):\n", + " return np.mean((x - x.mean()) * (y - y.mean())) / (x.std() * y.std())\n", + " \n", + "pearson_correlation(x, x + np.random.randn(x.shape[0]))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The autocorrelation is the correlation between the sequence with the current last value truncated at the end `x[:-1]` and the sequence with a certain amount of lag `x[:i]`." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def plot(x, lag=40):\n", + " plt.figure(figsize=(12, 4))\n", + " corr = [pearson_correlation(x[:-i], x[i:]) for i in range(1, lag)]\n", + " plt.vlines(np.arange(1, lag), 0, corr)\n", + " plt.show()\n", + "plot(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Moveing average model MA(q)\n", + "\n", + "$$ X_t = \\mu + \\epsilon_t + \\theta_1 \\epsilon_{t-1} ... + \\theta_q \\epsilon_{q} $$\n", + "\n", + "where $\\epsilon$ is white noise:\n", + "\n", + "$$\\epsilon \\sim N(0, \\alpha)$$\n", + "\n", + "$\\alpha$ is standard deviation of the sequence?\n" + ] + }, + { + "cell_type": "code", + "execution_count": 249, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "54.39517901679693\n", + "4833.691033366038\n" + ] + }, + { + "data": { + "image/png": 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TyrJaY2xL4NH7dnAyCXDzaIwvvLIPADjRbNDzckNJAPbRVMFimZAFkVWWHctigbUmnIx9Pvggehj0eE2TFSBJwxCzxXLXlWUntmEAwIu3TvDUq/cAAIHUO+dJEEKI6Hjb/ShF+JhNfqWwWCZkQfhhmCgZji06meVJ9Dka+ywSAYRSJlu7hHSZoKLBz+moRc4PQ9iWgBCRsgwAL946xpeuHQDQH6QyCUL0bAtCiERZ1lWnNwkWy2vKJ567hX/3H/0J42A6RBCkyrJrW1Qj14TjiQ8puzn1a5FEyvJmvwZkNUhsGPZqKctKbHnw3BYcS+D5W8f4Uqwsh7rKsh8VywCw3aOyPA8Wy2vKlRtHeOn2CW4ejpd9KiTGC2WyOLPBb31Qaswmq8thKCFl6oMkpMvMV5Y7WCwHMrMzGcXHfeQrN5LIN91z9oIQPScqAXf6sbLM+LhSWCyvKWqL/4hxMJ0hyDT4OZagCrcmqM9YF9WoRaF+901+YCCrg1/R4NdVZTkIJZxMescjF7fxzOuHU3+vw8QP4eaVZdYLpbBYXlPUB4cjLLuDH4RTNgw2+K0HSo3ZZFVVrTdZz/J/94Gn8CdfubGsUyKklFRZni2BHMtKcpi7hBeEU8X9my9GvmXVo2hkw6CyXBsWy2uKejKmB6k7BKGcbvDroHpB9JBSJp8xb4NtNSpdIKss/9ZnX8HHnr21rFMipJQqZdmyhHayxCIIMjY+AEmT31sv7cZ/r3c8L5BpsUxleS4sltcU5Yflxd8d/FDCtlV0HNMw1oGTSQB1X93k9zNIbBjRnzJOxuii95MQdX9cJc+yF6Q2PgB4JC6Wv/HhcwD0leXxlA2DyvI8WCyvKYmyzGK5M0wpy5aVqHFkdcnu3LBYTgcnqPWH1zjpIn7FuOvuepbDqeL+scu7sATwrkfOx3/fpMGvvTSMm4dj/L3fewrDNSu8WSyvKeqDc0TPcieQUkbKsmrws9ngtw5kewI2OWM49SzHf8b+7S4qdISsYs6yl7NhvPHcFv7ov/xWfM83PwzArMGvFx+v71iwLdFKzvKnnr+N93/yJfzrr95sfKwuwWJ5TaGy3C3y41Vdm8ryOpD9fG3y+5lPw0j/ZLFMukfiWS7LWe7gdRtkouMUb728Fw8qMWjwyyjLQghs9+xW0rPUyOxPPX+78bG6BIvlNSVgg1+n8HNKBj3L68FUsbzB72eQK5apLJMuU5mGYXfTsxxNgC0u2Wyhf85ekHqWgajJr40hZiMWy2SVUDduKsvdQC1krs00jHUi+zC6yRnDibIcF8mTnHeZkC5RnbNsdfK69XM2jCwmCR7ZCX4AsN23kwEnTVBe5WdeP8Tto/UZisZieU1J0zDoWe4Cfk7JcCzmLK8D2c/XJlsO1Hoz61nmNU66h7ouLbE6aRh+gQ1DYQuBUNeznLFhALGy3KINAwA+88KdxsfrCiyW1xQ/afCjstwF8p5lNvitB9M2jM0tDNWvnvcqb7I1hbTPvaGHe0Ov8XHmepa7WCxX2TAsoZ2zPKMs99pRlkdeCNeOPNCfXCMrBovlNUUVZ214kEhz/Fyup8vouLUge3PxOniDXRT5oSTqzy4qdGR1+du//Xn8rX/6mcbHqUrDiPy/3Vub/aDChmHQ4OflleV+e57l7Z6Ddz5yAZ98jsUy6TipskwbRhfIK8t2R5tIiB5UliPyDX7j2IaxyQ8QJOXXPv4CfvL3v9T4ODePJvjcy/v48msHjY6TX4+zdHVtjqJHS2wYBtaRiT/d4Lfds1uJjhtOAmy5Nr7lLRfw7I0j3FoT3zKL5TUlScOgDaMTqO3oVFmmDWMdyH6+2OAX2S+klBlleXNfE5Lyiedu4yNfudH4OMoL/1uffaXRcfLpRFk661kOp4vbLLZpg1/Os9xGetbQC7DVs/HoxWjC4M1DFsukwzBnuVvkPXKOzQa/dWA6DaN7N9hFkS0u/FAmRQ09ywSIdhrUNdGEiR8pnx/4/DWMfXMVNFWWZ0ugznqWg3Jl2TJo8PMCOVUsb/dbUpa9AAPXTgr7dRERWCyvKUrRYYNfNwgSz3Jmgl8HF2SiRzYNY5M96Nmi2AtCepbJFCMvSJJSmuAFEvef6WP/xMOHnr5ufJxVVJaDUCbRo3l0bRhSSkwKcpaPJz6kpkKdZ+QF2HKtpBBv4yGpC7BYXlPUzetkEjS++Elz1OLsZhv81uSJe5M5HvvY6zsAqCwrPD+1YXRRoSOLJ1KWm6uWEz/Ev/PYJTx4bgsf+LNXjY8TxNfnquUsFw1RASJlWceGodaqfk5ZDmXab2DKKKcsT9bkPsdieU1RN68glI0vftKcvGfZtgRCCe2tM9Itjic+zu24ANZnu9GE7I16EoTJmtNFhY4snrEftvIwOQlCDFwL73rkfKMmv0RZLlBqu6os+2GYiC15bEvPhqEK2KxSvRs/9De1bg69qMGv50THXhcRgcXympJ9MqYVY/kEOc+yWqS6qGCQ+hyNA5zdiorlTfbnZhv5IhtGnLPM65sAGPtBKwpjlA1s462Xd3Ftf2hc2FWmYViik7t+VZ7lqMGv/rGUNWI6Zzkqlk8aZi0PJwEGvYxneU3EOhbLa0r2yZhNfstnZoJfvJBsss91HTgZ+zi31QOw2cpy3rOcNvht7mtCUsZeiCCUjRVbleDw1st7AIDnbh4ZHWcVPcvRuOsyG4beLqVaq9ypNAwbABonYoy8EFts8COrQrYI48jr5TMzwc9ary2qTeV47OPsdqwsd/AGuyimPMts8CM5VHJFk8JJNaVFxfIuAODKDbNiuTINw+5qGkZYPu5as8AvVJZbtmHQs0xWgillmVP8lk5+gp9a9FhMrDZHYx/nYhvGumw3mpAtLiZ+JjqO1zdBpCwDzQon9W/7joU3X9yGaws8a1gsq+uyqPaMJvh177qNlOXy6DidBj/1Wk5FxylluaG4FjX4WUkhvi6CEIvlNcUPZdKlT8/y8lHb1ImyrGwYa/LUvYlIKXEyST3LmxwFOJ2zHCY34y4WHWTxqIbPJjFiWTXUtS08cnEHz143VZZD2JaAECU2jA4mSPmBrFSWtRr8CpTlfgtRb1LKTIMfbRhkBQhCiTPxTZye5eUT5DxyqsFvkwusVWfsh/BDiZ2+A6ejTUGLwi+xYdCTT8JQJg9PTQoxpVCqtfOx+3cbeZbLm+UsyA4mFQUVnmXdCX5egbLcdyJluUl61tgPISXiBr/o9WXOMuk0fpAWy21M5SHNSHKW48VOeeU2ucBadVTX+G7fgWt3M5t1UYQlNgwqyyRrvWiiMiZqaFzUvfXSLl66fYyRp39/C8NyldbpaFKRF5Z7li1N64h6LbNDSZIhIoF5vaDeiy3XTpoHqSyTThOEEme3aMPoCkHes2yzwW/VUTs22z0bji3WRkExoVxZ5vW96WSL2VZsGHER9tb79xBK4IVbx9rHqlaWu9dPEoYSUhY3JAIqt9/AhuHM2jCUv9yEYaZY7rHBj6wCfhgmXkraMJaPKhrSNIzoo9elBZnooR5CU2V5PW4KJuRzltPoOF7fm052W79Zg19UiCXF8iXzRIygSlm2lLLcnc+zF59LWYOfblNiUYNfqiyb/96juNDOTvDz/PVYA1gsrylBKDGITfZHTMNYOnnPcqosd2dBJnqcxJ+r1LO8HjcFE/LK8iQZSsLre9PJKpVNlOVxrintLZd2YAkYJWJUjY7uorJcNUQFACwL0PmoVTX4NVKWY2vawLVhWwKWWJ97HIvlNcWLp/3s9Gwqyx0gTcOIPnKc4Lf6HMW9ADv9SEXZZEtNtrCYBPQskxSVsQw0s52pa0oVdQPXxsMXtvGcibJckSyRKsvduXbV61Y9wU+nwS/63raV5cSGEcfQResii2XSYdQ2007fYYNfB0iUZXvahsEGv9XlZJwqy64t1uamYMKUsuzTs0xSpmwYLXqWAeC+3T7uDT3tY81LwwDae9CTUuLf/4VP4A+fes34GHOVZW0bRlQTTDX42UpZbqfBD4jeK3qWSadR20y7fYcNfh0g8ZzlhpKwmFhd1Odqp+fA2XjPcnGDXxcjuMhiyTb4NXmgLFJDbcvsITUIw1L/b9tr88HIxxMv3cXTrx4YH0OJKlXRcU0b/IQQ6DkWxk2U5UmuWLattWl8ZrG8pgRxzMxO3+EEvw4wM+46GUrCQmJVOR5Pe5Zpw4jwQjl1g+QD4WaTVZabZPgWqaGu4WjqKmXZUp7llj7Pd48nyc80Jd8gnke/wW86s1rRd6xW0jAGrrIb0oZBOo5aDLZ7duKtJMsj71lOGvw2WI1cdY4n057lTbbU5G0Y2a1X+pY3m2nPcjsT/BS2ZZZvXicNo60pfndPJsnPNCW5f5Qoy5ZllrPct+2pr/cb2iZGXtrgBwCusz4iAovlNUUtBrt9J/FWkuWR9yy7FpXlVed47MOxRDx+d31uCiaURccBfCDcdFpPw8hYB1zDyZn10jDauW5bKZZzNr48ttCzYRRN8AOiKX5NlOVRQYMfPcuk0/jxaMydvsM0jA4wk7Os0jDWZCHZRE4mAbZ6NoQQcNZou9EEP5RQ9/GsZxlobzubrCZZ60UbynI/51k2KULr5Sy3ZcPwGh8vuX+U5SwbKst5G0bThrxhvsHPtuDRs0y6TFZZZoNfc37gVz6Nn/6DZ4z//cwEPzb4rTxBKJMtYVPv5LoQBBL9eAzxJJBTKvsmvy5k2obRbChJgbJs+JDqhzLxJudRa3Rbu35KWdZRfvOkNr5yn7XOx8wLQlhi1tYReZbNbZvDSTqUBFgvz7Kz7BMg7SOlRJDxLB9PAkgpIUTxB43M59nrR42aU1TBYItcgx+3qFeW7A3XsSz4weY+lEY7WQK90JqxYdCzvNmMWrJhFHuWTZXlsFxZttsdSqKK5WbKsrJhlFhHhN75TvxwqlFS0Yay3LOt5IGj56xP/jyV5TUkm7yw03cQhLJRoUeiaW3X7g6N/70fRNvUVk5ZNl1IaN9YPtkb7qYPJQll9HDu2mIqZxngA+Gm05qyXOBZdgx7BZSYVITyMre1I3IntmE0iVBMxJYSG4Zug9/YD2f8ykDzNIyRFyRJGEC040bPMuks2Q/WTmy0p2+5GUMvwOsHI+Mi1Q/llCrgNoiO84IQ7/4HH8ZvffZlo3Mh7RCE6ZbtaQwl+cwLd/DHz1xv9ZinhR/bvlwnUpbHfgi1kUVlebNpq8FPfb6yiqhzip7ltq7b/RaUZXUubqmyrN/g1ytQlvuO3TgNQzX3AXGD35oIdSyW15CsstyLfYSbrHo1JWpYiqwtNw7HRsfIh+AnvjgD1W3oBbh9PMFvP37V6FxIOwRhmHrQbbMIqyr+yUeu4B/+4VdaPeZpEQRKWbZiz3KI7di3SM/yZjP2Y3+s4QARRVFTmukwoOoJfuZrcxF3jpunYajXrXLctaYNo0hZ7jnW1E6ALkMvSJr7gLjBj8oy6SqJsmxZycKyLhfsMjiZpIvHtX0zK0Z+cXZt8yYSlS7wxEt38do9c2sIaUYgM8pyw0KgiJNxMDX9rMuonZNenDc9CUJs9aKWGMYjbjZjP0DfsSM/bJPouCAq8LK9N45l1lhbpSzbrSvLXuPjJcpyhQ1DW1kusWE0eY+GkyBp7gPWq8GPxfIaMq0sR2/xulywy2CYLZYNfcv5xblJg1/25vCHT71udD6kOUEYJg2b0VCSdovCE89Popi6jlLZlR3F80Ns9djESqIGv4FrNfb1T/wQ/Zx1IGqsNZjgF8zPWW7Ns9ziUJJSZVl7gl95g1+T/qahlyuW2eBHuoyfiSlTH4h1uWCXQbZgaaYsT3vtALP3JVt8/MGTLJaXRbZJyDkFz/LJJJh6UOsyiWc5Loi8QCbbsfQsbzZZZbnRuOsC64BjC6OHsTqe5SYNeV4QIgwlpJSJZ7nZUBKlLJcX+No2jELPcjNleZSzYbi2oGeZdJesspwWZetxwS6Dk0naHHnVVFkOphfnJg1+6t88fGELn33pDm4cjIzOiTQjWyyfxnbjcBJgtCI3miCO0XPsqCCasmGwWN5oxn6Ivms19q8WFsuWMFtDw7A0WaINZfnb/tFH8GufeBFHYz8RRBpFx83xLFtCL2d5Eki4pZ7lJsVyONXg13dowyAdJrtl49LKau0AAAAgAElEQVSG0ZjhKXiW1f81GamqHob+6je8EVICv/34K0bnRJrhZ9QpU+9kFSeTABM/XAllVil1PVtg6EUPl1txhNQqnD85PcZeiL5jNfYsTwp8tupzJzUHfgShTCxUeVRqkel16wchru0P8dkX7yR+5eh4zXP6yzzLtqWbsxzMWFqAOA2joQ1ji55lsiokyrItkq0W2jDMUQ1+9+328apxsTydhiFE7O80WJDVwvlvPHAG3/n2+/Fzf3wFV24cGZ0XMUepqUDkzWvbs6we0lahyU+p7K5t4Wgcne82G/wIUhtG03jForgz1fuhW9h6gawcHQ2YK8FKmb1y4yhJwgCihmBTUmtlcclmWQKBVoOfPJ00jIIGP9owSGfJpmHQhtEcVSw/dnkX1+4OtVUMoDiqKGpOMVeWHUvgf/zud2DLtfHf/PMvUMFbMFnfo2tF4fsm10YRKlECwEo0+WU9yydxprvajuV1udmoBr/GynLB1DnTwrZezrLZuaqH2xduHeNmHDUaeYobKMtzxl3bQmh5rKPXcvZY/bghz9SvPTuUhA1+pMNkiynaMJqjtpXfenkXQy/A3czWWl2CQM4EyptOn0pHnwpc3hvgJ//a2/C5l/fx/37xVe1jEXOmG/zatRycZArklVKWHSsZgKRylj2mYWw0qbLcbJRy0dS5JIJT83MXjWefk4ZhWOQpZdkPJT7/yj4A4MJOr5UGvyo1XE9ZLs9ZBswnLc7mLLcrIiwTFstrSDYNgzaM5iTK8v27AMzi44qVZfNObiBdON/zjgcAmDcfEjPyaRhAe81sWZ/8KhTLfhjGOcsCx/G5J8oy156NZuzHnuWGW/LFDX7xQ6rmNeZnRtXnUZ9l0+I2+3n9zIt3AEQWvlaK5TIbhhCQErWL0iKVHog8ywCMmvyklIUT/ID1aPJlsbyGTKVhcChJY1Th8tbLcbG8f6J9jPwEPyBSI00W0KzNBoi2zhxLcKT5gglkGgeYPpS28znLDsIZTrr/2c16ltXnZYsT/AgyaRgNkxEmQVR0Z0nub5qiQ5ROdDo5y9lC8/Ov7MMSwPltt2HOcrqbWITuIJUilR5IlWUT3/IkCBFKzOQsA+tRf7BYXkPSYiqbs7z6F+uymC2W9aPaipTlaOqbeXScWjiFENjpOyyWF0zUUR/9/ya52UVkleVV8Cxni2W1hUvPMgEyOcsNbRhF2cCmyRVegXihUCkZbSjLEz/Eue0eXENhRJHfTcyTFMs1leWiZkkAycOIyQ7AKH6oz6dhAIDnr/4awGJ5DQkyWza0YTTnxAvg2gKXdvvY7tlGNoyihhLHNmvwy9psFLt9J0khIIshyAyaSSYytvRQqnzywGrYMFSxnL2Zp8oyH9Q3makJfg2KprKcZUBfDKpu8GvWf6CUZXX9n9t2G0dLesF8GwYA1P2oFcXwAWmxbGLDUA/1WWW5qQe6S7BYXkOyOcu0YTRHxeEIIXBpr4/bx2PtYxR6lg2j47I2G8VO36ayvGCiAjH6/26yHdxSg9+KKcsqDSOrVm1TWSYAxl46wa+RslyUs2zgL5YymjBZamloybP8dQ/sAQAubPeiaLdGynJsw6jIWQY0lOWKCX5AlI2ti1qn1Jh7IGrwA1gsk46S3bKhDaM5JxM/ufGbjgP1g3BGFXAsYdT8lLXZKLZ7Do4nLJYXSVQgxsqy1a6yfLJiDX5ZG4ZiiznLBGmDX9PMXa8iOk5n51TVrGWZxU5Dz/IoLjS//sGzAIBz271orW9BWS4bpGJpWkcmQVg6wU/9vS75XgUga8NY/fqDxfIakt2md2nDaMzJJEgGLJhOJAqKlGXLMkvDKNiSi2wYLJYXSZgdd91yI8uUZ3nS/WI5iuKaLpbVAyYb/DYXKWWahnEKynKatlD/uP5clbZZzrJqjnt7XCxf2HG1h4bkCUIJSyAZgpRHnXOdfOQwjJT1YmU5TsMweEAf+bM2jHUS61gsryFTOcu0YTRmOEmzI6MJRyY+YzkTAu8a5yzPNnvQhrF4stYat+UGv9VUli24zqxnuckwBrLaqOK479rGu3KKcYF1wCQTuc6AD6BBGkasLL/9jWcAAOfbUJbDsDQXGtBr8FPJIW3nLI8qlGXaMEgnKUzDWINtkGUx9IJEJTPNCi1Ulm1DZbnQs+zgmA1+C6VoKElbloOTjKVmaOAfXDQqtzZbzAwYHbfxKGEhsmE0G3c98Wej40yGkqRiQ/noaEs0afCL1uHLewP8T9/9Dnzvux6GLRp6lis81kC2wW/+z1D3r9PyLE83+LUrIiwTZ9knQNonm4aRdAvzhmXMySTA3iD6qPQcy8jukPW3KmzT6LiSNAx6lhdLFB03PZSkrWl1qxYdF4bRDbvIhsEGv81F7Yr0XbvRuGspZaENw06SKzRsGHMyi6O/sxp7lgeuhb/xLW+Oz7NZsawaaMvQUpbje07bynJRsUwbBuk0WWVZiEjtWYeLdVkMJ9PKclueZdc2W0D9As8yc5YXTyBl0jnfa3kHR8UVDlzLyD+4aJSyPN3gR2V501EKpWrw80NZS/3M44cSUs6qoSb2p3mZxUCz4nZc4N117GbRcf48G4ZGg596YKme4GfgWfZmc5bbXheXCYvlNSSJmcmM4l2Hi3VZnHh+0uBnqo4UjVd1LLOcZbUg2va0suwF0miRI2ZMKcsNO+jzKJ/8lmuvhLIchNGDg1uQs0xleXPJ2jCaqJaJdWBGWdaPefOSndfqYtnUUjXyQlhi+viWEEYPCYqqXGggbfyrI7ArsadSWTYZSpIoy+lxXeYsky6TzVkGkDzREzOGk3TevWmxHATFynKjBr+sZzk+P/qWF4cfhDOe5fbGXfvY6tkYuPbqpGGUKMvc1dpc1MO7muAHmF0PZcWyyeeuKE0oT6Qsm123Iy/N5U/Os4WhJNXFffRnHRvGOFGWZ4/XZChJ1nKjUO95k8bOrsBieQ3JbzNlR9ASfU4yaRhRdJz+oufF0VpZjKPjCjzL2/1I+aYVY3GEMvtAqt+VX4WKK1wZZTmYzVnuO1ajRimy+qiia+BajVRLVQznrQOOkbJcHR2njmsa9TYuaES0rBaU5Qobhk7O8iSj9udpXVleo+haNvitIfmhFS5tGMZIKafTMAyj44KiBj9DH1uRsryrimU2+S2MrLWm7UaWbFzhaCXSMORUVCUQfVaaNEqR1SdRGx27UeE0LlWWzT3L+Z2+LM1sGMGUXxloQ1metfFlSXKWaxT4Sc50gbLeTFkOIcS0r3ydomupLK8habdv9PbShmHO2A8hZbqlHEXH6St92S17hWu4IKc7B9MNfgCV5UUShrPKcpvjrrd7NrZ6dus5y7/z+Cv40NPXWz1mIKOc5Wwx41pW4xQAstoknmXXarQln+Q154vlJA3DJGe5vPwx3UEEipVl27Iajrue3ZmcOr6Gslz1sKDeI1MbxlbOfrJOOctUlteQImV5HS7WZaCGQ2xnhpKYvJalOcsGxypWlqPzO6JneWH4Ycaz3Pa4ay/AmYGDMN7ZaJP3ffR5bPcdfMfb7m/tmNH1nd4cXVvAskSkqK3BFiwxYyoNo40Gv7wNI8lZNpjgV6HUNsmELlKWbauen7gML5Cl47mBtMGvTrGs1OeiaYBCiHj31GyCX/73Vg/PVJZJJ8kPrXBtizYMQ9RwiCQNw1BxCORsg4ZrCyMlUhVk2eKbyrI++ycTfPK520b/Vko55Vl2WvYsDyd+pCyfQoPf0Avw5dcOWruBSSnTCX52upsFRFYjTvDbXIoa/IyU5TIbhskEvxrRca7hwCggVpZniuVIWZaGBXMQhoUNecnxRX0bhvrY26L4eH3DwVsjL8Qg9/4wOo50mlllmTYMU1Shkk3DCEKpvaUWhHLmST7yxZkry9nFbicu5k0Gpmwqv/mZV/ADv/Jp49xsIH0Pei1vN0Y+eQcD18ao5TjAkRdg4od49vpRK8fLPpyrG7oqapp6NclqM93gZ+5fnZTEnSWTM7WGksy3YTi2hYlv7lmesWEkxazRIeEX7ExOHV9DWVbfU/br912zvpxhgaLuJsry6q8BtYtlIcSvCiFuCCGeynztghDiQ0KIZ+M/z8dfF0KInxNCXBFCfFEI8W+dxsmTYmaV5WZjRjeZxIaRKZYBfXWkaAKTafNTEEpYYnobbZfKsjZHYw9+KA1zs6ezrtNx1y02+MXK8qhlZVk1DD716r1Wjpd9OO/llOUoS3z1b5TEjLGXVZajNbRNG4YaSqI37np+GkbPFsbK8sgPZxv8DOwiWfxAwq1hw6ijLKvvKVOWe4bK8tgLZhR19fC8DjZQHWX51wD8ldzXfhzAh6WUjwH4cPzfAPAeAI/F//sRAL/Q7DSJDnll2TG8+ElaLCtl2TXYSgzj6VNFOcsmhUTR6OztvspZZrFcF/UemjxI5m846c2wxQY/N85ZbtGzLDMe6KeutVMsZx/O1UODKmpsKssbTbbBL2mCbdDg55YMJdGyYQTTYlIRToOpt+MCZVlFu5k6krL9EUWkDX7zjzUvDaTv2sZpGFtu/mFmA3OWpZQfBXAn9+X3Anh//P/fD+C7M1//dRnxKQDnhBAPND1ZUo8gjrQSmS1i3rDMGHpR8bnl5pRlnRD8kid5x9AXV9QsGEUzCRyvwACLrqBuCI2UZbV7Y7W33ZiNK9zqtVsse0FqIWqrWM6+FjM2DHqWN5qiCX7jVhv8lA2j3eg404FRQPQ7F0XHAQ2U5TlpGEo7qeVZrmjwA8wTn4oaG1WT7zrsbDf1LN8vpXwNAOI/L8dffxDAK5nvuxp/bQYhxI8IIR4XQjx+8+bNhqdDgFl/E20Y5gwn0eumGvz6Bt7UovHUQLSF6AX6TR9+yTSnnb5DZVkD1alvskUYFlidgHa6vkeeiiuMPcteaNwYNHPs+CbYsy08/dpBK7aRcMqznKZhAFSWF8WfPHMDP/rPHu9cTN/YC5Ls3SQZoUGD32x0nFKWddIwotcoP+Aki9uysmwyljtL2ZqfHD9RrmvYMAp6XrKYepaL0jCAZq9llzitBr+id6HwXZRSvk9K+U4p5TsvXbp0SqezWQS5DxZtGOakaRixDSNuUtF5PfPNYAoVBaS7fgZhWKgy7PQcNvhpoIrkNpRl2+CmXUb2mlPTsExuXkUo//M3PHQWIy/EczePGx9zyrMcFwnZBr+uFXDrxgu3jvGf/eaf4f/70nUcDL1ln84UKnNYCNGoCbZ83LWBZ7kgTShPkwIv8iy3XCzPm+Cnjl8rDaNaWTf1LA8nwczvDTRT6btE02L5urJXxH/eiL9+FcDDme97CMCrDX8WqUleWaYNwxy1BZ4OJYn+1FlIExvGTM6ymRrphcWZm7tUlrVQsVZNlGX1PgghjKMA82R98sr+01Z8nLqe3/XoBQDtWDGCzGsxEx3HCX6nysgL8B//H0/gMP7cd200epQM0aw5GqhIw0jyzfWj46qi2Jrkg48zv7OiubJcPcFPZ9x1krPctrLshRg4s8pyz7E3rsGviN8H8EPx//8hAL+X+foPxqkY3wLgnrJrkNMnP0eeNgxz2kjDCILiYtk1bArL7xwodvo2jjmUpDZJg59BRFSqpqZfi5Ifmn/OVMGznS2WWyqCVBLG2x44g+2ejSdbKJazQx7UNZ2mYVBZPk3+7z+7hmdeP8Rf+8Y3AkDr0x6bkp1m12QkfJln2bYEhICWL15dr1VDPlzD4VPAHGXZOGe5WlnWGXed5Cy3rCyP/QCDXkGxbIvNylkWQvwmgE8C+FohxFUhxA8D+GkA3yGEeBbAd8T/DQAfBPA8gCsAfgnAf9LqWZNKZj3LzYeS3Bt6+OLV/eS/R16A1++NGh1zFVDF8iCnjug8eRdN3Iv+2yxurCxzc6dPG4YOSYNfoF9gBDllGYh2CtrYbsw+oKkdjbaKIFV07/RtPHJxB6/cOWl8zOy2ripmVIFkr0lzT1fZP4lsF9/+dVG7UNeU5WhAx7Q1p82hJEC0rurs6NRJw+jZZpGHXhAiCOWMwmqS2jF13LBaWdZKw5CzD/pZ+o5tNsGvRFl2nfXwLNcedy2l/P6Sv/r2gu+VAH7M9KRIM4LcB8uxrcbbw+//xIv43/7kCr70978Trm3hfR99Hr/0p8/js3/3LxWa+teF4cTHlmsnnrAkN1InOk7OFlZA1oahO+Ck2LO823c24gGmLZIGPwNlOShQlnstNbIoz/KW6yTn1lYRpOwcA9fG3sBJtu+bkJ2IlrdhuDaV5dNErUN7g+hWrnYOusLx2Me2G51bErtpUDAm0XEFFZ4TT8erS50JfqYJDtmovPzxAHMbRtluokLdWmrZMNRQkrKcZcd0gl+ZZ9lcpe8SnOC3hsx6lpurO3eOJ5j4Ie4cTwBETSWHIx9PvHS30XG7zskkSCwYQKqY6byeRVv2QKos6y6gZcryds9JVEkyHxVhZbKQ+yXKchsDOIanqCyrNIytuFg+GjUvlrPKsipAmLO8GCZBANsSyQTPcceU5YORh7NbLoB07WykLBcWy3r3t3xzbhGRGqp/3arPaV5AamrD8OZEx+nZMObkLDv6nmUvCOGHsjQNw3QaYpdgsbyGBLlpcW3YMNT2/o2DMQDg5mH0558+e6vRcbvO0AuSggVIG/x0h5IAVcqy3nuTf38Vu32bNgwNVGFhcvMumoLlWBa8FjKFp2wYSYNfu2kYA9fGbku2nelx17GinKRh6Kl+RI+JH6JnW0mR0jUbxsHQx5mtaWXZdNy1a4vCbGDdh9RAqdRVnuWmynLL0XFF2fpTx9do8AvmNPiZKMvpQ8Lsa9qGWNcFWCyvIXnlsQ0bhlKgbhyOpv782JX1zsYeToKkYAEy0XEtKMumDX5+SRqGylluK5N33VHvoclC7hc0bZpOZMwzLEjDaNuzvOXa2B20WyxbIi2WqSwvhokfouekxXLXbBgHIw9nBpGybFsCtiWMleUiVTk6rl7iSn5UfRGubdasW6osaxSzRXhBODO1NYvWuOu5yrL+BD913W0xZ5msEpG/KX1r1ZNdkyLqOPZRKkX5xuEYtiXwpVcPEmvGOpK3YfQM1JGiZjDAvMEvCGVh7NFO34EfytYyeded1LNsrizP7OC0mrPsJEpN22kYWz0bu323FRtG1gOqCqJe/FAZpWHwejwtJkFULLedmtIWB0MPZ2IbBmCezKQeCoqIHlINhpJUFJ/RuGv9+6VaU05DWa7X4FdfWS5Nw2igLPcLiuXemjT4sVheQ4rSMKQ0/6ACGRvG4RhjP8D+iYdvfew+SAl84rn1tWIMJzkbhkEaRtlQknQEqt774gVh4UK324+2O5m1XI80DaP5UBLA/Aab5yQTHdf29ro6zsCJPMuTIGysWge5KC430+hnN8irJfMZJzaM6PXuUnRcGEocjn2cGaQ5Aj3bLMO3qli2NeMJ6wwl6dkCEwOBSfUE5IvGVib41YiOa6PBrx/H5tWZBqhQ6RmlnuU1WANYLK8h+bQE9SFrsh16PE5tGEpd/ktvux97Awcfv7K+xfKJ5yejrgGz+KM01zM/lEQ/UB8oVxl2kmK5OzfMLjPxzT3LRU0yri2S97oJw0k0IrjvWO03+KliuWclCQpNrRj5KK53PXIB73jwbPQ1mzaM02QS5xgPWr5O2uBo4kNKTCnLpiqjUtCLcDVthmVRnvljAvrF7SjzMJrFNhRGFP6c6DgdG8bcCX7qHqfxPqkdq0HBe9RGz1QXqB0dR1aHWWU59dmaxrypAuzm4Rg34mL5gbMD/Pm3XMTH1rlYzivLtn6xrOqnmZxl1eCnWWCVpWHs9qPzVJYZUo1SuExu3kU3nCZTv7IMJwG2XRtCiNY9yyMvgCWi61jtRByNfNy32zc+Zv61+Gc//O7k79jgd7oknmWne8WyGr2tPMuA+cCLas+yntXHDyQsgcJmQYWT2O0kCqKDSymPjjMrvoFICQ5lddSdXs7y9L/J08/sntatF4YlXm0A6DmC0XGkm+SVR/Wk2OTp7nAULXw3DsdJIsblvQHecmkX1++NG5xttzkY+tOLvVF0XLGy7BqMagXU+1vc4AfQhlEHKWWygJvcvIve07byRE+8AFvxbsag5TSM4STAIC7Ek2K54fUSFPi3FY7VjtpOilGKq2sLWKJbDX4Hw+i6UmkYgPmAiigNo7hciaLj9JTlqmY5IBWYdIWMcYmyrJODnKeOEp4cX6PBr+wlMIn4Uw9pWwUT/NjgRzrLTBqGlT4lmyClxPEkVZZvxkkYl/b6UTNAw+bBLnMw8qYWeyNluaShIp3q1I6yrOwijI+bjxdIqEvWqMGvYGSsaQd9nmGmqVRNxWvTs6zU6t3YhnHYsMmvKrfWtkQy7p20j1Jc1S5Elxr8DkYlyrJhg1++aU7haA6+KRvqlCWJudNcG05DWU6iGas8y7FKXMdnPK/Brx8X+jpT/FIbRkmxvAY2DBbLa0heeXQN83wVYz9Mch5vxDYMIYCLO73MkI71uyGOvAATP0xC9YFogRFCMzquIGYMMI+Oy09oVOzSs1yb7I3AKDquQFluy597Ek+NVAxcq9XoOKVW7/Wj67qxslxyfQP0LJ822ca3gWt304aR8yybDKioavBzLD3l0guqM4uBtFjWvXbLh5JEf5oMJVHqdmUahkaDXzbqsQiTvpyqnGU2+JHOMjPBz8A6kEXdTB86v4WJH+K5m0e4uNOHY1up0roG2yx5ijx3QghtdaTsST5tvNRUloPiaU47yrNMZXku2RvB2ODaLYqOi27azW8KR2M/UX2BaGuzrSJo7IXJDS1Vlr1Gx5yrLLNYPjWyjW9Rsdyddfgg3rHIrp+mVqWowa3chqGnLMtSS0dyTNXnY6osz0THKWXZoD8iqGPDaDNnWT/xqewhAeBQEtJh8spjUxuGKr4evW8HAPDUtQNc3osaglzDRWUVSLYRM8oIoJ9DWdZ9rN4j3felzHOnRt6ywW8+2RuBZ6B0qd2CrDrTc9q5KRyN/CSpAohuQK3aMGKLR1tpGOkEv6JRxHoDI4ge2ca3Nncg2iBVlqfThCYa2/sKv2Lcs+4EPz8sjt7MYpKnD5QXjUlMqME9uM54bqOc5VNQlvP2E3U8Fsukk/hBcRpGU2VZFcsv3znB5TNRsdxz9Mc/rwr34gaVs7liua9ZLJctdm6D6LiihVMt0BxKMp/s+zcJ9G/eibJsTz+UtuFZPhz5iaUGiKZiqal+TclOpFQ/o7lnuTy3NspZ5vV4WnTahhGLDdlruWeYRV41lMO1La3dOT+QcOcUy46hRW5UMpREPVTXUX7zlA21ypLYMDSi48rSQFLPsn50HCf4kZUiyD2Fu01tGPHN9C1xsQwgUZZNnkJXhdSGMZ2w6GrGH4Vh8TZamr2p2+BX7FlWC3SXbphdJXsjMEvDmFVnHFuvK7+Mw/HpKcsjP/Us9+MUhfaUZXqWF804UyxvuXYyFKMLHAyjh75sY5rJdDhACUDl0XG6466rRl0DqZChb8MIYFtixuZhWnxH/2a+Z9nSafArEVsUzTzLZcWy1Bpy0kVYLK8h0YchO+66oQ1jopTl3eRrl/cG0bENAsxXhSobhl50XHFDRdLgp6sslzSoWHFyQpd8i11lusGvidqTeSi19BSuMiIbRnrNDVwrGaPbFBUdByCJj2s68rpqyIGun5ToMQnSlIhBizsQbXAw8gqEBmEc1VhWLEY7OnrFctWoayC9Z5ooy0WDOSwNm0QetaRU5UKnDX7zjxdIWWrBAMx2okclDwlApmdqxSMkWSyvIX5uyyr1S5naMKIF+A1n+0lz0CWlLBs+ga8CSlnO2zB0G/wSZTmnZhg3+FX49/qupRX5s6lMGirLRQXiTt/B4chvFKPoBSGGXjBrw2hxKEl2q3R34LSnLBdck3bsWV7XaMllM+1Z7liD39CbERp2eg5OPP3rrUoN1s3y9oP5nmXH0Lo49oOZUdfqHIHosyKlxP/w/zyNJ6/eq3XMqhxzhfqrujnLVc8KrkHTftlDQnQ8s96crsFieQ3Jb7O4DdVf1eC303cSRTm1YaTTAdeNe3GxvNfQhlG0ZQ8g8c3pLiJV22hdu2F2lSkbhlF3/myx/OD5LZxMAuyfmKdLqM9atlhu04s6yqRhRD/HbS8No0CtUjd4isunw7RnuWMNfiNvKgkDiO4hJtGWQVjuM9a1+pTl1GdxjRv8iovGbLTbyAvxqx9/AR/5yo1ax1QJGlXKshDRUJp6Nozy5j7ALD0rG0mZxzSzumuwWF5D8ltWjW0YU8VyVCQnDX72+jb4HYx8DFwraXhQRINY6r+WpzGUpCxGqe9QWa6Dul6FMB1KMvuePnR+CwBw9e7Q+LxUs13es9yWF3WYU5b3Bk7jBr8qG4apL5/UYzY6rjuf/YOhP5WEAUT3EBPbT5VnWXfMfJ3oOFM1dOyHhcpytlhWD+dezQJf3R6qlGX1M2opy1JWFt4mDwqjOsXyigtqLJbXkLzymDQXNEzD2Ok5if0i71le9Q9CEQdDb8aCAejHH5UNJXEMfXFVneED127N37rOqAeK3Z5jOJSkQFk+FxXL1/ZPjM+ruFhuz4c+9AIMMiNp9/rNbRjpON6i6DjzyCxSTRBKBKFMBIuowa87n/0iZXlv4GAShNoP9FVrnmNbWl5gr4YNI00q0o+OK5o0mHwOQpk8nNfNXFYPmmVDRBSWELUb/KoK7+RBQSNSc5zbscqyLn1NLJbXkLxn2cSDlOVoFE0Usy2RKMuXNiAN495wdrEH9KPjypQ30wl+XhCW+vf6Tre2YruKsmHsDhwzZVnOFogPn98G0ExZVoVrtsGv77SjGIbxjbp9z3IcHVfoWTZPASDVqOs2a8PoVINfoWdZDU7SO08/LF/zHCvNN3/y6j08e/2w8liRsjzHs2yZ2jCKPcvZoSHqmHUfIEMdZblmznJlGoaRZ7lcWV6XviZn/reQVSMI2k/DUNO+/uo3vhGDnp18MAsd1lsAACAASURBVNSis47Zvgej2cUe0J9CFRQUVtn/1lUv5irLa/hetE1SLPcdM89yMOvTPbPlYK/vNLRhzGbTtrVboKwc2ZtaG2kYqbI8e02qB3UmYrRPvlhW0XFSSog5KuRpE4YSh2N/Jg1jN34IPB77uLDTq328vACUxbHTIvHvfuBJ3H9mgF/6wXeWH6vGuOu0F0ffhlHkWc7usCTFcs3PRFWOeRZb1LRhhLJSpTayYfjlxfL5+H2+dTTBWy7VPmTnoLK8huTTEprbMNLu/Hc+cgE/8Z6vS/6uvyZbLEUcDP1iG4ZtaW1RJdFxuU+byQQ/KWXcoFL80e1ak09XUcXyXkNlOat2CSHw4PktXL1rbsNQKu9uzoYxCcLGBadSHfPK8mFDZblqfC49y6fHOB6mo4rlvmtDym4IF0cTH1LOxm7u9qNrT9cnHwTlfRrRmPnodz4YenPXPz8Ma3iWzYSMcQ1lWa03dY+t1poqn7H6+zZylk3mMkSRlMWv6ZsuRDtuL98xXxe7AIvlNSQ/zrOpwf547GOnX7bF0u0Gv9994ip+94mrRv82smHMbr5EDX4mQ0lyU52sqINZpwhS31qmsvSdbg0m6CqTxIbhNkvDyCk0D53fOpUGPwCNGzeVn3Wqwa8fPSw0OXadNAwqy+2jruF+JjoOQCd6FtKBTvliOVaWJ3rFcuW464z94GQSzL0X1UnDcAzvmXOV5Q40+AVynrKsL+JEKSDFNcKD57YgBPAKi2XSNco9y2Y3rKOxj51esWOn6w1+v/Hpl/CLH33O6N9W2jBaiI4DohvciYbPcN6WXJsDLNYZVRzu9c0a/Mp86A+d38a1u0PjXOGkWO5nhpIkkxmbva9KWe5nFCDljW5ixQhCCSGKlS87s/1M2qXIhgGgEw/LB8PoeppNw4jOUfd6q1JDbVskhefJJJhrb/CD6gY3wDwNo8y7O5WGoRr8ah5bp8GvzlIWzlOWLYMJfv5043CWnmPhgTMDFsukW4ShhJS5yWINbRjHY3/KQ5ml6w1+Iy/Ei7dOtH93KWV1GoaBslzUoHJhp4e7J5Pax6oaLQwAAyrLtVAPFDt9u7WhJECkLB+O/aRY0OVo7MG2xNSWprr5NrXXqH+/lfMsRz/XvFie5ycFqCyfBmoNyjb4AehEk18y/bQgDQPQv968igl+rmXBD0JIKXEy8ec+/AYV0ZvZYwJmynJRGoadmeCnCvC6E+2SBr85TYm2VTNnWVb7ny1LTDVN1mFcoSwDwMMXtvFKA3taF2CxvGYUNds0tWEcjf0pD2UWVYh3tVge+wEmQai9NX409hHK2cUe0E/DqGqAurjbx62jsfaxyha7PpXlWkyCaPJZ3zErltMR5tNfV/FxpjeGaNS1M9Wg1Xqx3Jv2LAP6HtIslaqfamKlZ7l1EmU5Z8PowsNyYsPIp2EYPJwVCUBZbEsgjL3aoZyvBnsVyRoK5dvV3RGZpyz7YdrgV/cBsq6yrNfgV/09rm0Z5CyXl5MPX9imZ5l0i1TxSt9aVaSZ2jAiz/IcZbmjNgy1dX3lxpHWvzsYFW8jAipnWSc6rnyxu7jTw53j+sqyWrzLGlTaihlbd8ZeNMyh51hGKTFhrKbmUwceahgfdzia3cVRN6HGNgxvNg1jrw1lubL5itFxp0WZDcNEWf6dx1/Be3/+462dW7J+zniWo+vtWON6U9dO2ZqnBBtVoNdRlsumASrSe6b+BL8iZTk7YS9t8KsZHVdj3DXQXoMfEL2mep7l8jQMIGryu34wXul7E4vlNUM9hbq5Ln3XFo2GkpTaMOIFrAsd2EUob+pzNzWL5XjhLbJhuLbQi46raNC4uNPD7SONYnmOZ7nvWp0aTNBVJkE0PEDXf67ww+IpWGqK37V9w2K54LPWb0kxLEvDAJp5lsOK3FYOJTk98sVyv8FD1Reu7uMLr+y3VsykynLOs9zT38momhAZfT36vZX1Y959rmoaoMJkN9YPQgy9oFRYcixrusGv5rHLhlrlaavBD9CzGkop43HXVcpy8+mmy4bFcke4tj/E973vk9jX8K8WUT4AQ29bReEHIUZeWNrgJ4SIotQ6qiwrS4JusXyvpJsbiBJA1PSsOiTKcsFid2E3UpbrNoTV8SxP/NC4wWxTGMcKkLop6L5eoSz26Z7bdrHTs43j4w4Lpp4pL2BjG0ZcXOVzlgHgcOwZH9ev8JPSs3x6jINiZdnkoepe7LHfPzG/DrIcFOSFA9EauNOzNZXl6Pcs9SwrZTkuwOcpolF03PzC0xJ6D3n78T2jLD86sovo2zCS6Lg6Nowax5zX4AdE9UJdcc0LJEI5/RCeR8XHrXKTH4vljvD5l/fxqefv4MuvVU8fmkeZPzYqlvVvWMexGlUWHQfo2xIWyShRlo+1/l2Z5w7QTwAJSgorALhvp49JENbOup2nMqQxY918P7rC2I9sGP3kvdT7bPiBLEw3SbOWzRSUov4Apdg09aKPJsqG0X4axnzPMovltin1LBvYMJQ4oGMJq+JgGO2QOAXWiR3NEevz1jz19bo2jDpDSQB9gUkJXee2Z+8Z6jz9ILVh1I2OS+7pcwp8Ky7G5zFvgh+gVy8UDTvKo6abrnKTH4vljqCetNWiZUqRZxkwV5bT8bvlwx5dW3SyWM52Hl+5caSlHiqVosyGAdQvSMu27IFUhbhT04oRzFk4VfHHJr9qJn6IvmNnIqJ0pyiWNwk9dH7bvFgu9Cy3oywPC9Iw1Oe6yWCSquKDOcunR5Kz7OSKZSNlObrvqGSeTz1/Gz/zR18xPreDkVd6z9AdsV7VIA2kmchqzZ4bHVeR3pKlpykw3Y1V+fPb5cpyEIYZZbmm2BK2qywHcyb4AXpWQ7UuFQ1jUVza66PvWHj5Notl0pCjpFhu9mRfrizrRcEoVBFf5sMCuqssK7/yG84McG/o4baGalJlw+hrKsthxeJ8cTdaWG8f10vE8EsehhRd6ojvMmM/iBr8VAa55vUbyGJlGQDecHaA6wcjo/M6jNMwsrT1nhalYfQdC44lTlFZ5gS/06I0Z9ngQfkgVyx/4M+u4ef++Eoyfl2XoRdMXWdZdjWV5VQgqG4iTZTlOZ/lIJSlx5o6ruY98258f6kslqVMGu3rFuI6DX61cpbrKss110QlzBQNY1EIIfCmFY+PY7HcEVpTlku2rExtGEc1i+UuepbVTePtbzwDAHhOIxFDLbxFkXm62dJVE6Mu7vQBoHaT31zPctLkw2K5ikkQeZZdwzSXqgLxzMDF4cgz8o0fVtgwWkvDyOShCiG0lb48lTnLbPA7NdrMWU6U5bjgU3GWz7xuZguc+GHyIJpnt+8YeZbn7V4on/S8/GIvKPfYZ3FtS+sh724NG8bUUJK6NozaDX6oZ8MIyx/0FTr39KKUnSKi+Dg2+JGGqJtV0waLpBnCbldZLkvDAKLtqnEHi2WlLL8tLpavaDT5qW3EogVKt1iuKqxSZblesTw3DcOhZ7kOYy9E322gLFe8p3sDB14gtd+DsR+N6t3L2zBaavAbepGanrcE7fadU1eWacNon7ZylqWUGRtG9OfN+OH9y68dGJ2bF4TJOplnp+8YpWGUN/jFNoxhvQa/oGJ0dv64E1/fhlHa4BfbJNR9uG4DnSqA5xbLtRv8gDlhIHqe5QJ7VxFvurCNq3dOVrb5nMVyTUZegP/6d75gvL06j6PWPcvtpGEkNoySNAx17C7aMJQS9+h9O9hybTx3o36T38HQL7RgANnx4fWL5bKFPvEs1y2Wk5xlKstNGMfKl2lOeNVugWoKPdDcwlYF614+DUPl5zZNw5gEhTe0nV4zZblqIpr6rLDBr31mouMcC0LoN/gdT4LkvqHWoVuHkbL89KtmxXKVsrynacPwajb4KctIEMrSvGEpZfzZnV/6uLbQVpZ7toXtEvuJbYloKIlq8Ks97rpesdxug5+OZ3k2ZacINd20rcSVRcNiuSbP3TzC7zxxFZ954c6pHF8VpfsNi+W20zCOxtHCW9XgpzvRblFkn3gfvW8Hz9+qryzfKxl1DUBbjaxqqBi4Nnb7Tu0pfvM8y33H3Le4SagGP/Ve6j5IVvnQz8SfFd2R10cluzjKI9/0PR15YWEW6qBnN8rmrnpwSJVlXo9tk7dhCCHQd/Rz1rMCzf5JFGN5M16PTJXliV+tLOvYMFJlec5QkoxaXWbFUMeaN5QEiDzSWmkYxx7Obbszg4rS40VDQya60XE1i+V2G/zq/+4jbzZlp4j7zwwAILm2Vg0WyzVRheZpNaqoovRew6eu8jQMMxvGUfy0vpoNfnG3uGvh4m5P64n2YOQVTu8D9KcWVinLQKQu11WW63qWx2zwqyRp8NO01CiqEk6ShAlNZflwVJw8Y1kCPcfCuAUbRpGyvOVaRnFjiiAMS7e1OcHv9BjnbBhAJAzo7ipl7zl3TjwcjPyk2H3m9UOjYVZeEJZO3NNPwyi2FiqSoSSZor/MI5+IDadiw5iUNvcBUTE7NZSkZi2RnPOcAteyatowaijLOrMTkvusU60sq/jZkwZrzTJhsVyTiebWiS5H8VCApjaMMmVZ9ylZUTdnua0GvxsHI+3R1GWMMg1Ne5oL9MHQm9kOV5h4lssKKyDyLddt8JvnWR406IjfJCJl2UotNQae5XJlObpudHyZ2e8vaiodOFYrnuWirdIt125k8fArlCp6lk8PZXXIKpkD19Zu8FP3nL5j4e7xJNnlevejFzD2Q7x4Wy+jHkhzzIvY7StPf73znCcQOImyXL9Yrhcdp2/DOL9TfM8AzBv8kui4GspyWw1+URpG3QbE6ocZxZYbrWsnE3PL1zJhsVwT3XnuuhzHyvJ+w+i4oKSY0s2MVJxMfNiWqHxq7Nn1R2PO47//vS/hx37jc60cK1WWbe0mJpWWUITu1v28XM+LO73aDX7zbhxJzjKV5UrGftzg1yANo6xA3DMslpNM8/7sDXfg2i3YMIrjvAYGamSWqgcHtXW+CmkYOtaALlBkddhy9S01qlh+5OIO7p5MEr/ytz52CQDwtMGgrElFg5+yGdVdj+d5dtW1l/28lX2eVVpUmaVj6riaAtPdE69aWbbyDX7tRsfZNZXleeINALgaAph6f+ZNRUyU5fFq3ptYLNdkEkRv8GnZMJLouKZpGEHxB8u1hdF22nASYnuOcb/NBr/PvXxXuzGqjCQs3bGwF8d51aWqANBWludse13c6eO2tmeZynITogY/u5myXHJzUDYK3etYXZ9F/QED124lZ3lQ8NDbhrJc6lm2VyNn+ZnXD/CNf/+P8MRLp9OTchpMgmCmIO0bKMvKvvDmi9u4ezxJPKV//msuwrWFUZPfxA/RL7FhKEvfcc2iaZ5n2SmyYZRcb94cS0eWyLqoMe76ZIJzdYplX8/SqdPgV+d0w4qMeIVOg1+Z9TOPanw8WdHmcxbLNTl9G0ZULB+M/EZblmVpGI5tJWHoOgw9vzRcXtGWZ/n1eyPcOBy3Fns2yuQ/7vadqa7veURTyUqUZd1iec541Qu7kWe5TqTOPGUkbQZbzQVpUUxiZdl03HXVUBJTz3LS4FdYLLdlwyhp8GuqLK+4Z/n3P/8q/FDihVurMzShKHFi4Frau0pKWX70vh0cTwK8th8lPj1wdoCvubRr1ORX6Vnuq6mR9T4fSuEsVZYLbBhlFoJ5hXcWnSY3KSX2TzycL8lYjn6mGkqiqSzXbvBDaQpIlqqoR4WOZ1l93zzleztO1DpZsR0cBYvlmowTn9FpNfj5aVdvA99y2Rx5nYs/y3BSPokpObbTjg3jC1f3AeirfGWkjQdWUsAc1/RLVSnL2tFxsjqq6OJOD34oa6UnzM1ZdpmzPA/Vkd7Us1z2Huz0HFiigWe5oJm2DRuG58vCrfGB0+zYQUUU12mNux77AX7gVz6Njz17q/GxpJT44JOvAYjUwVWh1Iah2+A39GAJ4KEL2wCAr14/hG0JnN/u4W0PnMEzr5spy/NsGLrKctk2v7rGstdwWfNc3cIu+nlW7YL2cOzDD2WlDUM14CUNfpo2h3lqcF0bRijn+5910rOCkpojT6Iss8FvvTlNZTkMJU4mAR44uwWgWZNf22kYZR30WdqKjvtiXCy35bcd55RlQM8nV9YxbRIdVzVdVWfk9Tx/GHOW55ON3OolyrJJg1/xm2pZArt9R/uh93Dko2dbhU14UUHb7D31wrBwzO9Wz8LQC4yHBSzDs/z0qwf402dv4e/87hcbNww98/ohXrwdKcpNG6wXSZEveGBgqbk39HBmy8XFOPP9qzeOcHGnB8sSuLDT045ABOYUy7FwcVRTWZ7vWZ79OWWf57qFXXTc+vfM/ePodzlfMpBEHc8P0pxlneg4IeYXuJZWg1/19+iMu/ZqKt+JsswGv/VGd+tEB6V2PnguKpabZC1XpWGYnPtJDWXZbanB74tX7wGIHkjaUKLSsHRLu+kqCMtHovY1m8KqlDcgM/K6RpNfmc1GEXXHo3HM2DqTjTpqFh1X/veRR163wc8rtGAAUfxhkyxkIFq7ivJlt1w7bjwy+8zV8Sy3rSw/Fftor+0P8XMfvtLoWH/w5GuwRLROrNLAhCIbxpbBDoTKlFdjmq9cP8R9u9GaZLpr6AWywoYR3U+O6irLc6xn2cJXXYdl97p5A06yuBq/+514R6LKhmGJaRuGV/Mz4ddIrwDabvDT8Cwnan11OdlzLLi2oLK87iRpGKdgw1DbUQ+eb0NZLt6mNy1oRzWU5V4LDX5SyqRYBtqxYiiFuu/YRmpGaUFqMu66Ym1SU/zqxMf5c24cajABbRjlqOtCLd4AtMe1VynLQDTF78DAhlE2Vn7g2o0fgMp8pKZjkhVBGJbezE/Ls/yla/dwftvF93zzQ/jlP33eKG7y2v4QL9w6xr988jW8+9GLeODsVuOhUIukKJ6tb+BtV8WyWoeOJwEu7aXFchDqiRcyLgjLbRhRQdl2GgaQDgSapyyXFfJZ3FgJrsPduFiuavBz7Ok0jNrRcTVykQHV4FczZ3lO8a1j2yyzfhax5doslted07RhqAIuUZYb+ObKlOXeKdow2mjwe+n2Ce4NPXzt/XsA2rFijLwQlogsC0lTSW1luYZnuebv7IdhZWGlVJw6NoxEWa5YmJpGga07k4yXvW9H13bdLUfFPHVmb+BoN/idTILSUbltvKdeIAttGEmxbHgTq7IsndYEv6devYe3v/Es/vNvfwx+KPGJ5/S8y9f2h/gLP/3H+Iv/80fw3M1jfNfXvwFnttyV9yybXCeqWM76bbPKMqBnU1KiTFn0pooQqxvVN28oSfaaVlNXy+7T85oFs+g0+O3XVZYzaRhBKGs3ddc5X1uI1hr8XNtCKOsV9DrZ1Tt9hzaMdSfNRmxfsVPbUapYbsezPKssm9owBjUa/PxQ1vqglqGa+9716HkA7TSojf1oCIMQIlEc6g4m8SusE7o3kDCsXpxVkP2twxrKco2FicpyNdnGT9eJXkeTnOWq9+DMwNFWltWglCKioSQNbRhhWOh1Vw/DpvFxVa+FUrDaFBkmfoivvn6Etz94JvGI6haI1w+ixIcf/da34B9+zzfgr7/zYZzbclfOs5y/XkxsGAexZ/lcptC7by96XZXNQ2c9UQ+jeYuIYqen0jDqCxdAxVCSrLIcF8tl9+l5x8oSZQ3XVJZjz/KFOZ7lIJRTu1h1jl+VvJPF1lCW6zT4Rec3/32fZw3MstWzk0FnqwaL5ZqkNoxT8CzHi0Ziw2jgmyvbpndMbRiTYG7OsulghyxfvHoPfcfC1z94FgAwbiEneOSlN5PdQXvKsmMJCKGnLFctJH3Hxtdc2sGnX7hd47zmKyOLUpbvHE/wN37507gRFx6rQlZZTgbMmCjLFTewM5q53kB13FYbOct+UGwdaZrNXaVUWZaAJdr1LD974xCTIMQ73ngWgyQqUe/c1Trwl9/+BnzvOx/GwLVxbnvFiuWS6DiTBr+zW25kV4t34C7llGWdnUNVAJY1IVuWwE7Prq8sa3iWlbJcdi9KLQP1bBg6yrIl0umdRdiWFSvL6TFrpVdU7NxksYRAnQ2cehP86osI6v1xa8Tx7fQc7RzwrsBiuSbqafA0PMtK7Ty37WK7ZzfyzZVt0zeyYcxTljWj1Iq4cuMIb728mwTWt2PDSMf76qRhSCkrCwAhBFzbqu1zDeT8p+73vOMBfPqFO3OHk9RVlhcxlOTJa/fwsSu38CWDoQXLJNvg59gWLNG+shzZMPSV5TKfZxs5y1ExXqAs96KfeRrKMhBPQmtx3fzSteh6e/sbz8CxLTiW0H5t1DqQHQBzbstdvQa/vA3Dsad8sfOQUibFMoBEXU48ywZre6IsV0x93dGYqDrPemYXKssl4661o+PqN/id3XIrFVvbwlR0HFAecZelfoNfveK7Vs6yU19E8MOwVloHECvLzFleb05z3PVRJl+16Vag+iDmu95d24Ks6UHKcjKp51kGmjXlvXL3BG+6sJ2M1W7HhpEqyzs9B0LU2/qrs1XXt63S4PvZ41UrywDwnq9/A4JQ4kNPX6/8vkRlqVBGBq69kHHXd+P0jlUbrZ3ezKPX0GQC5bymGzUxUieOba6y7IXG8W5Vx1cPlKaKT5VlCQB2enarI26fevUedno2Hrm4A8Asg1r1iWQbKs9u93Aw8lpP7jgtiprokumRNe8hJ5MAfiiTYlnZCJooy/nPVxG7AwdHNb2r8wSCrKKZepab2zAcjazheaOuo59pwQ/DqXMLahw/rNngV9+GgcpdMSBrw6jnWa7zegLRWtBkWugyYbFck9Ns8FPRcTt9B2e3e43UjWTEc67AdTQ8SIowlBj7YX1l2bDADUOJq3eHePjCdlLctq0sW5bAbq+emuHPUTIAFalUN1R/vrL8tgfO4E0XtvHBp16vdW5Vi1PTIRN1uZMUy6vlj05TUqJrzSQea546c2bLQSih5c8rSjdQqOvY9LUOQ4lQFjdJpTYMc2W5ald716DZsYqnrkXNfUrJGriWtkUlGQCTU5al1J+8uCyKbBiXzwwAADcO5zcLA2l/TKosRwXffXtNGvzStJkydjWU5XmDmLLrtLJBlMWyqa/XSW7o2QJeWO8Bdf9kUpmxDET3oFBOq7W1lOWaDX6WVoNf9ffoepbrTEQEoqxlKstrzmlGxyVjbvsOzm7pDzPIkm1eyqLjQVKoG1BdZdnE5gFEC/vED/Hw+a20WG7Ds+yHUw8NdW/addQHnQSQqmgthRAC7/n6N+ATV25VetbreJb7BsWDCSouaeWKZS+1YQBm0YfzbRgq17v+Z9kLZosfRdPPhbopFynLWw2K5TCUUYNYhVdzr+/WbqydRxBKfPm1Q7ztjWeSr/UdW/t1Ueejms2AtGBcFStGkQ3j/jNRkXu9Zh9Bvli+ENswkjQMAyFkEu+49SoK0t1+/aJpnie2SFkub/CrlwkMRAJT3d3Yu8fVo66jnynghyEmQZhJianZ4NeishzUavCrXy94QflMgjzbPUbHrT2nOpRk7MO2onzcc1s97A/N44vKimWTm626qOuMuwbMleVX7kbTsx6+sN3quOaxF0y9Drt9p9ZNO831LP946GzdV0VrZfmudzwAP5T40JfLrRh1Rp9mi4cPPX29tUIlz6oqy9kJfupPkwl+86LjAL2R11XZtE2zkNMmqXbTMO6cTOCHEpdjJbKIXYNkkDJuHY0x9AJ8zaWd5GsmD4dHIx87PXuqCFF+3VXJWi4qli/vNVOWL+720bMtnIv/2012+vSj46qU5b2BU9tuqONZnmfD0BpKomFF2D+ZVGYsq58ZhtH7pprm69QTdTzGQBpNN4+whge6p6ss17i/ASyWN4JTVZbjYQRCCJzbbtZkogpEkfswbMUKio4vUX3vPGVZLSqmRdMrdzLFcps2DD+cGh28O6hXLNdVlutacsKanq5veOgsXFvguZvlAxaiFIbqZgq1LX317gn+o19/HB/4s2u1zlMXdZ2u2rTAvA3DxLPsV0x4BFJlWWeXyPNlxRjzZlaJKq+7ehg2KZaVgnl/vP1fxJlB/S33eajX82ymMBk4+gNbDkf+zLREVSyvSiLGuODhSjXm1U2oyRfL/+G//Sh+8Qe/OVlf+kbKsoqOK79vPHB2C6/uD2tZHOZ6lgvSMMrWZp1x1+q4dawS+0MvecAowxYi9izL5DNXtxitqyzXsmHUUKqTB4UafTnzehaybDNnef051Qa/cZA0mpxt2OCXbWrLshN/OE+8+hequjHXVpYNbRiv3BkCiHKm+wZKRhljL0iipYD6I4jneeSA6Mm77jnW7WYWQmDLtSsfaPwa/jClLF+9G72udSYDmqCU5TZGnS+SfAOSzoOPIgirH1jOtK4sm0WkKdQNv2hrfOCYR8fdOIgUzMsVxfJu38FhzcmZ88gXd4BKCtG3YezlrCNnt6IC/DQHk4ShxBde2W98HClllMs9Ex1n4+yWa6wsP3huC3/xay8nf2+ytns1lOWHzm/heBLUEobmWc+EEMnfzVOW08K7RnScRqzkOCfMFGHHE/wmQZikPtVSglvMWZZSQtZp8NN4330dG4ZrwwtkKxN6Fw2L5ZroznPX4XjsJ1ONzm67GPuhsYKkBnHkUQXvsUZX+klNZbmvsagU8fKdE9x/po+Ba6c2jBY8y+OcZ3mv355n2dVoCgtrKgNA1ABR9eRdR2UYuBbGfoBX96NiuYmtp4rEs7yAZsI2yVuVdB58FEFdZVnHs+xXpGE4zZRlVTwUTvDrqUJc/9g3DpWyXG7D2Bu47SnL8et5JqMKm+SKH45nR4svQln+42du4L0//3G8dPu40XHUw11RQXr/mX5tz7JS6s+UqKI6EWIKVQiV7ZIAwEPntwEgeaCvwquwECnUmnhmK3pP24qOA+bPVlDjwKseDoBIWZ74IYJQJvfUWmkTWg1+1d9Td4BIoqrXKZZ1bBh9/R3ursBiuSapvkg3WwAAIABJREFUstx+YXA88ZMnTfVkbLpgj7wQfbdAWTa4SNW2bO3oOFNlOY6NA9B+GoaJZ7mGry2KjtNQljUaIIYVxWedZop+nIahiuUmQ26qWFXPctLgF1/XOg8+ivlDSfSV5aJtdUVrNoyCa6cXZ02b3MCux8rypTme5cOR3yj2TlGsLOsPbDkaeVMZy9ljnmaD3zX1mWxYkFf5gi/vDZL3ZR4HQw9CREJCESZr+9ivpywDwNW4X6UKJRDkrYVZVFSqajSdP5SkTnRc3OQ2Z31LHw7mFMuWwCj+XiVe1VaWa9kwMFdZVn8/N2dZw7McDTuqf38D9Ha4uwKL5ZqcZoPf4ShVOc4lW4Fmi+nYDxIVKosqeI81/ELDmjYMt2F03NU7J3g4Vhp6bdow/OkHh92a3sk6vjaduLG6ix0Q3fiHc5TleQu9Upav7Ufq0mk0LEkpE2V51bbUjsY+hEgfzHQefBRzx11v6SnLUsrKNIzEhmH4WqubXtENXQhhPPXx+sEIF3Z6SbJIEXsDB34cQ9mUg2H02WjDhpFXll3bwk7PPtVi+XZLD5hVI6Uvn+njZk0bxjDucSmzFJms7WpdLBvdDiBZ7+soy3XEhrwNo1xZrm/D6NVUlus0NEY/UySvoyoaaw8lqVMs12jwUz+ufs5ye55qIP29dXa4uwKL5ZokOcun0OB3nFm4VdOJaYLBuEVlebSANIyxH+C1gxEemlGWW4iO86YfHPYGDo4nwdwFpU4ahk50nK6yXNUtXKeZYhD7wpRqc/cUPJhHYz/ZQly1oSTX9oe4f2+Q3BBcR2AShHjh1jF+8zMv1zpGIKsTTvqOBdcWtZVlP4y8hOXFckNlec4D4JZrNizg+sG4MgkDMLOklHGvwDbQd/SH8ByNZotlIMoZPi3bEgDcOY6K2KbWpaopeZf3BrhxOKql5BdlNWcxiY7zaiitZ7Yc7PWdmsry/N009bN2Bw4sUd6In0THaSjL8wrGOkNYgGk1V4lXbU3cA9Ieiqomv1RZrj5W+pBUp8Gv3D6WZ8cgaKArsFiuifpAnMZ0p8izHF1ESSOeYcfoyA8KVZ7kiU7juHU9y01sGK/ujyAl8HC8LacW57aU5ak0jH69B5FanmVb1L6BBDU9Z0D0YFJVtAQ1trzUA8fzNyNf5GnYMO4ep8dcNRvGK3dO8PCFreS/e3YUHfeL//o5/MS/eLKW1SqY07QphEim+NUhUX7nNvg18yxXTQg0KZZvHI4qkzCAdIu/Dd/ywdDDds+e+j1MlOWiNAwgbrA+TWX5qJ2pl1UF2v1n+vACibs1fo+oqbR8fU/EC62hJPOLRyEEHjz//7P3nsG2ZOd12Op84k0vz5uAiRhgABCZUTBZhMRUlCjRLsumZFKWSctySYTpKlMllkqQi0GUJdkuykWTlASSoilaJkUzwgABIVAgARA5TcDMm/TmpZvvPalPJ//Y/e3u06fDt3efOzNvcFcV6mHeu7dPnw57f3vt9a3VlbKUOnCZZccy4FgmbKt614+jfyZwWXXZ0NhQgOe/Q0/VDYPT4Jf+TJ0Ug+a2JmbZtRU0ywrzm04d8nLBabHMhGzwOwkZRo5Z1mnEy8MPYjmx5kEPqZZm+QQT/Mg2jjTLhiH8pttOJkEkGinyW4FDJmvPcsOwLbY3b5Soabqa3DCaG/zE/bp2SA1+q5/893Js9e0mw7i6P5UNRkBmHfepZ/cB8FL3OBGva6lWl4O6bXUgC1DRDiWhYIdKazpT69g3j2a1zX2Anud0FQ5LAlCERp8/XsRxgtE8LNXpbvTauRE1YWUyjJqUPPJa5jT5VbknEdo0+NUx1oBo8mPJMBgEgWOZ6KWspWuZlTIMboObOKb4mUYZhg6z7NY3IuahyizXEXox8/uryDBU4q5PG/y+BnBSDX5Jkiy4YchtCk0BvBj8yphlcVyVInzGbPDzWjDL+UCS/PHablPSuS8yy2KSbWK4WD7LitZxTYlJhK5TL8OI4rhxC5HuR5KI4x1M5iz/TRXsj7Ni+XaSYYRRjBtHM9lgBIhJ7taxjydvCX/rpl2dOJVMNN3TYcdh+yzPG5nltqEk5AJQfvymHY0yRHGC7WO/kVnm7uhwcDQLFvTKgLg2SmFLQYQkwZJ1HCCK5ZMMJcmaYtu9M35NQaqS4lcWbJLHSVnHAaLJ7+p+s9cyR3pmmYYkhGzLaLSO48gGuAXjvGHXJn+OhJ5Cg5+KzzIgemQqj8Vs8FOOu2bKME6Z5a8BZKEkqy06ZkGMOMkKuZ7XjlmeFVLrCJQQqNKFypVhtGnwe25vAscyFiZcz7FaMy/0+3mWPWO46ifDkLH6dlOdKwfcUBJAMA51RYsKswwAD18aIk7E7sUqQZP+Wse+rZjl64czRHGyVCzv5Yr/phhemnCa7ulQgVkm5rfom0toL8NgaJYV2Z7dkY84AVuzrBL9XYXDaSDtwQgdR2y7cyVytFgul2G4J9rgJ4vlFWmWy8Z6Gks5XstNmmWdsd1naJYBUSyP/LCRyY/iuNaGDhDPNe2A2ma1bzotGtUS/Jia5aZi2VgullnFKNcNw+Azy9wGvzmD+Q5y8d1NkG4Yp8zyKxeywW/FzDKxLYMCs6yrWa4zR++5FiYKRfg0iOCmGrA6tGnwu3E4w8X1zsLLtgoZBhUVeZadJsemwjFjlusbX7jPAjeUBGiWYTS5MACLC4TXXloDsHrdMjUNXlrv3laaZdr2zcswipNc00JV6v5WWCxL+ym7KcFP71qTtGiVmuWbjEASYNUyjLCUWQb4bO0oDUgpa/AToVDzldjcFRHFmYPMytwwSopllRS/eVTeEE6wTQOGoZvg1yzDAJodMTgEgZ1jll0Gs8zTLJNudzVuGPmGYCXrOOUGv+qfUbaOY9z3KK5OHi2CdrgnKyZvXgycFstMUIPDqq3jqFimBj9p8aarWQ7LmWWAAi/U4q7L9M9FSF2bxkLiaBpIuzyCKJbbyjDISzfHLDMbjTg+y1w3jEwjxnvVhAyj2pM2iJq3JPMLhNfeIYrlVXf4743nsEwDZ4fubVUsk+ynyCwD2eTYyCwzJ1ydBr+qiGDHMoVPa0uf5bpiWfXYnKhrYLXF8tE0WArQIC917kLiuIZZ3ug5CKLkRJivg8kc9Fq3bvCrKdBUUvyamGXDMODWNMxVnZtjGY2LSa7XMocgsM1Ms2xbZqVcMozjRs9mggwlWRGznP8OPQolYRTLXLKF6lVOg1/T8RyVBj+VuGvps3zKLL8iQdGiwOplGONCsWyahraNE5CGklQWy5YSYz2dR43NfYAe+0A4moVL26oU19wGNBmVMctsN4wmn2XG980kHY0/CkAwDnFSzTxxtiRpgeBYBh48PwSw+qCF/ckcmz3hr3s7yTCu7k9hGoIRJ9Ck+JZ7NgE0N/jRZNS0lamy6OOknnVsddcHefyG5LKuTrHMSO8DsrFtJZrlkgY/VWaZiuXSBj8KJjkB3fJuXue/Kuu4ioHl/JCX4tekWQbUbDIBwUY2FY4A32uZ47ZwdujhjnWxaHMso7IIVWlGo53FpoKRq9E2F2QYFHe9Oh9j+pl6GUZ6Litt8OPHXXu2CEBS2eF+uaA8tucUC8gXyFX+jbrIZBjZreh7ViO7VYWquGtAdKIqMctB1KhXBjL2QcVeiHA0DXB+OFj4O89ZhQyjTLPM005y3DAcy0QYJ4gbmvciRWaZVt6zoPw+qmiWL653sNUX33nVXst74zm2+s5KJDMvJq7uT3BxrbMwsdH//08eOo+PX9lrZpaZ9lMqRQZnK1cnqY7QxCzrLNBvHfkwDODsoL5YdiwTXcdqrVmO4gTH/rIMw3PUmGU55lYwy4BggS9vdJf+vQ3INg44WRkGINh+FrMcxaXXIQ9PMeFyHsWVjap5ZF7LTTKMuDFE5F/8l2+SbKlTEzKkkjaX2aetxg0j/7ldqVleXYMfseW8Br/6Y9G5cjTLKtfUMAz0FXe4Xy44ZZYZyE94q5ZhENPbyzG43YZgiiokSVJrBdRzFJnlIJIWN01wLTX2gXA0K7OCai/DoAIuX3D2HAuGsSI3DGaXOLcZTJ5jQwMEZ0uS7v8d612spxKXVdth7Y8DbPZcuCu4Vy8mirZxQCZ9+nMPngXQ3KktdwsYWn7uApKzlaubsgdkC8Cq3RIdr+JbxzOc6XssZ4FBhxc1XwcqtpdlGGqBLbLBr1SzfDLvC4CFJtKTlGEAglm+xYi8bpJhAOpjO+eYQOa1zJJhNOymrXUcuYNBREbVsbjNaKrMsoobBo05LOs4dtx1M7PM9VkmAozvhsG7pgDVN6ea5Vck8p3Hq27wm87F8fJyB7HyUn+Y5lGMJBFuEmXoe2pF+HQeocvQLAPqW3WEo2mFDKNtsRxk94xgmgYGrt3Y4Mdyw7CYxXLEawYjUHFfdZ9UmOXLG90cU7bayX9vMk9jjvXu+0uFF/anC3plAPjP33YXfuGvvwX3nBFFdBOzTMxNk+7PS4sMTrNYUygJkO64tPVZrmDoOhrWcTeP/EYJBmHYsXGkoVlOkgQ/98Gv4pmdcWnUNaCebkjvf5l1HOmr6bNWCUrvM4z2zHKddRwgmi45KX4cGYaj+I6LoBPevHHHRhfXDurlIirSCaDJOo6fNkfvYtOc7zOZ5fzuIrlerVSGwXHDYDb4AamchSk15O6cAkKWdcosv0JBBVHfs0/AOi5lQHPa2qbI4yr44XKBmEdXtcEv4GmWATFQqC4k5mGMaRCVM8stGwDKfJaBlOGahZgF1bHXLDcMpgOIOrMsJuuqiV8wy00NfimzvNGFY5kYePbqNcvjOTb77koWNi8WgijG9cPlYvnCWgff8chFthc5t6M+a3zlxQ4DDcyyYvhGHtJnucY6bh7y7dcACiSpb+4jDDuOVoLf0SzEP/ujJ/Cbn76aRV0XZAPKMowaZlmGN2n63NeBNMtn+t6JWscBwNmBiyBKGot+n6NZPiFmGRD3oIkYUmGDAbEgrCyWFdLm2G4YOg1+6VizShmGdMNYQYMfIBYLXM2yo3B/uoo73C8XnBbLDNDL0HUsRHGyUluhWYlcoO/ZWpplaZdWxSzrNPg5TBmGBsNYta2qy1LnkfksL16LYcfGBx69iTf+z+/H3/utL5T+rgqz3DSY0PY3l1lukmFwmOXNnouhZ+N1l4UTxnrXwcEKNctxaoG1RTKM26Sz+frBDHEC3LnVK/13K22ubWSWmdZxKoEOnK3cjmNiFkY4ngXK4UicuGtATR6wfezjXINemTD0bC3NMp3307tjHKW/X8ksK1jH9Vyr9D2S1lYnwHztjedY7zoYeNbK4q7LAqgAYKMn5CRNLjjzqD7BD1AnQjhsNYFDDAVRs2Y5D8c2qn2W44TPLLNlGOKzGhv8NENJYq4bRvrxLBkG02eaq1lWWcyo7nC/XHBaLDNAhRel7K2SXSY2JN9I15TiVoUy6UEeXQ2fZS6z7CjaCwGQ27InIcPIfJYXr8V9ZweIEzHBPrtbrpWjrTGWZrnhPGmXjcssZzKM8oItjJo7j/uejU/9g3fiOx65CGD1qWRHswBxgpRZVr/vLxWultjGFdH37EY3DDazrBDowNnK7TgW/uSpXbz+3e/H3/q1zzQeM4+muGsaf1SCSUQTKm8KUfGczoMKlWd2xhmzXKFZ5i7ajmdhKasMZHK4k4jj3R3NcWawmt0Yksx03PLrv8mUX7E0yxoNftximdOfo8os22aNdZxCgAbJMJp0xfN04aPCLNP7FjBkGByCBMh0yHXMMldCBvCzBEJFzXLPbR5jX444dcNggCa7Xi7PnWESwULGBmcvmq6mp4pNlcd17TTqNWH5TCppljUa/I7ktupyd/uqQkmK1+Ln/9qbEcUJ/tavfbpSK8f1WQaaCyHprKEQSgJUT9bciSPPOG323JUyy9SotNUXW+tBlChPaC8FqOv+rs1yZhngOdFw2Rk3vQec90KyUzUT7g9+06tw12YPn796gCduHjceM4+swa/aDQOAkm45VIi5HXh6DX5BKK5LvlheZpbFOXAL0GM/rHSAaHr/2mB37ONMX/iSr4IMsEyj8nmhXoUmFxyWdZyl1sQbRHwZBtmZ1s1JYZyg4yjIMGoYUZXCLnOEaPBZZvQbAIvjBS3KOA1+sXKDX/XPRIxdU4JTo/0uHlOF+e+5Fq4d1DugvBxxyiwzkGmW+atBLvwggmEsMqCqfsiEKjaV0HWFjIQ78E2DSC4QmqDjinBUIcNYjRvGsnUcILp8bctMGcTya8zxWaatvKbzVBmcgLxmslqGwd1GJKyvmFmm5LYzfa9VeuOLje2ROO9zNfHMnOZabiiJyrXh2E99xyMX8bP/6RvwjofO4cZRc/NWHkGD3Z2q7hdILaOYhYcIaNFrWgaE9/WV7RGA5WLZU2zwG83CUo9lQLzXjmWcSGiCsFt0V2K3KIgMq7LA5Lp6cFhgVVncPOQ30fVcu9ZXHuA5AOXhWEYNs8w/VhZKUv+ecRa6QDmzzNml5jLLKg1+XBkGp1hWibsG1MPRXi44LZYZKGOWV4VZavVmLBiWW1oJfk0Nfn1F1kQk+J1cgx81nyw3+K1ChlGv6avThbM0y8xOaU7hnUeXYR2nyuBudJ2Vxl0/ev0IAPDwpaF81m6HYnk6j2Aa1e8HIBbE3NCaxshYqVluft8yTXHzvb2w1sE8jJXszTg+ywC/4AQEaVDlrlEEWcfFihK2/Pv1+ecPYeVijQmqCX6jGmYZSD2nT0izvNX3VhK6NKnwYSdwZBhRLHaEqlIjCVoNfgqaZaB+TgoZqaV51FnHqTg3WKYB0+C7YTS9u3m7Ntc2a4v6PFbZ4Cd3TZkJhvOQ14CospjRJQNfapwWywzQy9KXWyerKwzKwid6ro1pEClPLGXewsXjAs0+soD4jvMoZoWSANCyEMs0iEXNMt9yqwp+GMGxjMpBpm5bmOOG4TH1qFxfS0KTdlQlLYmw2XNxMA1W1pj6pWuHODf0cH7YkYzk7RBMQu9anQSJI4HidpS7zN0HgB9sAGSJeTcYCW2EMI5hGtUFfrdhR6MI0ejMXwSSg8VIcZLMFypfunaI9a6zdP9UreMEs7xsG0c4CR9Y0RQb4IxklluSAfMI3Qq9MpCx73UyDO4zp0qEcBw2CJz4Y9Uxz7aMynGZk4CaB4ddJdlJk7Qx/x1sU8xNnAa/iB13zfBZlsxy4+EU3DD4cixA2OadMsuvUEg3DLJ7WWmDX7RgGwdkcg9V39OmBj/yduSwJjP5nZmdw1oNfuUaRE9Rg1gGEftdXej3XRuzIC5d+HCYZUeyhidjHVd17yPFzmNA6Bcp/WwV+Mq1Izxyh3DaUCkIX2rMwuZEyr7brK2VOvSm2HEVGQYz2AAALqZ2bTcZoRP549dNaB3FBj9uEAOBGupU7ePyrgaTebRkGwfki+XVMMsnsU18OA0QxYlo8FtBT0ZTuqptmRg2WEaqFMsqY3ug1OCXjnc1i5MwThrftTwc06xM2uVKGuSxLJNlHcf5vvQdqLAWFnfMYpnx/aVmua7BL70svAY/nmaZ03SeR8+x4SvaVL4csJJi2TCMZwzD+KJhGJ8zDONT6d9tGYbxR4ZhfDX9c3MVn/VSwJcyjJNgluMlXa0KA5xHM7NspcdtHqiJWTnJBL+jaQA7tevKg4rcVsVyWN+pTwuSsmvBcsPgWscphpJYpgHXNmut41Q6j4FsMbIKKcYsiPDVWyNZLHtO+3v1YmE6jxtlRX2v2TGG21G+ap9lAnkb3zwUzPInruzik0/v1f5OGCW1XqiqMgyuIwghi5rXZ5aB5YU1IN4ZxzLY1nFHs6DSDQM4GRnGbhpIsrUib/KmYhkANvpOrVTHT+VBK/dZVmnwawhhAkSxqOLjW2sdFyVs6RDAa3ITGm0+80vX27IMfigJo7iVMgwGs8xr8GtmluM4QaywwwRkc+/tJsVYJbP8bUmSvDFJkrem//33AHwwSZIHAXww/e/bEvOiDGOFK6JpqQwjfZgUdctNmuXMQ7T5IZ1RsqCSZlntuhzNAqyVbKvS+bdhX/wmZtmjAIrla6GiWaZJZGfkl17XWJFZBmiyrpaIqDPLqefqCorlJ24eI4oTvO6OdQCruVcvFmZhtOA6U4ae2+xxHjY0yxFUGvyClJ3hLKrOF2QY/+j3voJ/9v7HG86ZySxzZRh0DbjMMskwfLVnkCZrStYrNgMTuIEtSZJg5IfyeGXQDYWqw+4oCyQRoUviex3NAvzLP76iLJHi9JNsdF2WDMNruIfKCX4KoSRNvvKAumbZrgslidWa0TjNjVwmncYLKqxt02TtUkcJTxNsSeu46p/hesSL82z2WVbdOQWa+3JerjhJGcZfAvAr6f//FQDfd4KfdaKQDX7eCTT4BdFSiIiuMX5TKIlKEU6TpkqxrM4sh6XbqrIAa9EE01QY1RXLEaMYcmWRKM7xr/7ix/HP3//E0s+FCoMToW6yVjXoB7JmnyYbKQ6+9IJo7nskLZZvJzeM2byZjRukLil1xUvE7CjPItGb3zeVpijPtrDVd3HzaIY4TvDU9qiRqQzipJb96kg3DKYMI+Y3JAK5GGlNZvmhC0MA1cWy5/DY2sk8QpKUp/cRuq4lNbTXD6f4hp/+oHTi0EVmt7johvGBr9zET/7Bo3hqe6x0vBnDA3+j56xGhqHILAdRouSzDNTLf1QbyOo01qo7cxwJCtf9g8YLuja22dzgF6e9AZz5g6YFTigJt8GvKe46s1nlz0lSkrUiWeCLhVUVywmA9xuG8WnDMH4k/bsLSZJcB4D0z/Nlv2gYxo8YhvEpwzA+tb29vaLTWS1ooCBmWdX1oQ5+EMtuboLuNoW0S6tklpubKQhULBc7z6vgKHpxAhmzXMQqtvbFda0+90F6jcteWJUEP3o2bh7O8OzecsgJ12Ysj65rVWuWtZjltDN+BfZxX752iGHHxl1bItjDKywaVolZEOF3PveCVppl6fHCZjau51mIk3r960lYxwUR324LAM4PPdw8muGFgyn8MG72+244fldR95ux68xQEk3NMnXjP3RhAGDZOYfQcUxWoU/ve71m2cIsLd6eujXGjaOZsq91EXnbwnxhT+ejujMjbD2biuV6f3UqApsKW9XgITU3jGZiKIxjJc2yKEKrZRgqY7GQzNTfG24IS8Ysp8WyZTTuUkcKISIWI5RERYbh2s0SlFBx0QxkC2cdK8mXEqsqlr85SZI3A/guAP+9YRjv4P5ikiS/mCTJW5Mkeeu5c+dWdDqrBSX0SOu4VTb4lUzgKtriPGSDX4MbxoRRfFChzrWOEw4Waud7NA1KJ7+VyDCaNMukCy9h2akgretuLupRp0GE3dFyw5WqzzJQr5nU0Syf6Ytt+1sK7glV+PK1I7z20pq8NidZLL/3S9fxo7/xOXzbP/0wfudzL7Q+3ixodnch1qOuX4AfSqLghqHQFAUAF9c7uHnk48mU8eRE8tY9N6puGPR5Kj7LgL5m+cHzglku0ywDWJA21EEWyzXMcs+1MQnC9HyD9PfabRnvHPswjTyzvFgsq+7MTFgyjHp/da5OnthVrlREzWeZ5rr6Bj81n2VhHVd2vqrODRyXJ67shOYA+lnHMht3qeX8odLgV+ezrODOxNEs68xv2ViwOjvTFwMrKZaTJLmW/nkLwG8DeDuAm4ZhXAKA9M9bq/islwK0qj6ZBr/lrWGVorZ4LKBOs8zXCtGxuHHXa10Hx36oxLofzcIl2zhgNQXYwSSQL2UZ+jVbQZyO6YxZjjAPY4Rxgt3xMoujsu1FqJNhqG5JAoJZ7ruWTLDTRRjFeOzGkZRgAFkz5knIMLaP0/CTgYd3/d+fw43DdsW+0Hk2a5aBeqkSm1lWiLuehwlb5wkIR4wbRzM8dYtbLNd7ItMuDLexjQgDVRmGrmb5QWKWS8YLQCzqOcwyp0DsutlilRxkRi0n9u2RjzMDD5ZpwLNNRHGCMIrlronq+1M2bxSx2RMNflUNXyoyjCThkURJkigt/Dg+y1GklhBHz2RZD42qcwPH5o/7fa2CDINjHacyf9Divc4NQ73BjxfIonJNiSCjnIXbBa2LZcMw+oZhDOn/A/gLAL4E4HcB/GD6Yz8I4HfaftZLhaJmWbWRrQ5lbhh9Tc2yH8ZpZ3j7Br/pfHGB0IRL6x0kCXDrmG9nVcUsS0auhWb5+uEMd2x0Kv+dmKWyaxExfD3z1nHExu2NqotlFTa4m/psF5EkiZKpPsEwDNy11WtdLD+zO8YsiKUTBnCyDX574wCuZeJHv/1BJIloomwDoWNvYpar5TkEjkwHyFnHMRaQqszy+bUOdkY+Hr8h5AHNMox6ZtlMXVi4jhJEGHCLmJ5rwTT0meV7z/bxP7zzIXzP6y+V/lzHsVjnzrG86znZYpXOV3WXr4jtYx/nBmKHJ+/2QztbqrabU4b+fr3nIkkyi84iuMWyoyQnEu9GXfBPHjwZhtpuGjHHZfZx6sxyc4AMN97bKsowzGaZg0pxK2UYHM0yx2eZYQebzW/8a5rJMG4vZpnnC1aPCwB+O92WtQH8epIk/59hGH8G4N8ZhvE3ATwH4D9bwWe9JJA+y+ngtEp/wNJQEm3NclQ7SLm2Cds0WEW4tI5jyjAurYvC9PrBFJc3uqzfqdQsy8lEb4Lywwg7Ix8X16rPo8kNg8ssB1GywEKJe5BdM9VQEkBM1jdLWFR67FSZZQC4c7OLq/uZpvpoFmDo2Y1G+nlcOxDndPeZnvy7VSxsqnAwmWOz78jBta122WfIMDgLyphZLCtplpn2U4SLa2Jx+vGnd8VnNCzgRbBD/YTWdTKtbhOoKOKes2EY6NcEAVWBvpdrm/jRdz5Y+XNCs8wv5pokKdMgEs4ZM5JjtHv2to99nE1j1vM+8joyjCRJhHVck2a5m6X4kSNOHj5Ts8y1yQTyfuG856LjmDCMep9l1T4NKkaDMAEKX1vFqQMQ16ZO9y0+uncSAAAgAElEQVSPqcAsSzcMi8EsRwrFMkeGIYvv5vPl+CzTv6vcH5rzqxZxL1e0ZpaTJLmSJMnXpf97JEmSn0r/fjdJkm9PkuTB9M96I9CXMeaR2CKV2zsMb0QuyhP89DTLIoijaZuZZ4tEW5pczfIdaYF8nblV7ocRZkFc74aRm0B+/sNP4d2/+2XWsW8eCgbyEoNZLtMicqQO9Cz4YbzAAu8VpBicNMAiRDd+WRGvPjAR7twUzHKSJLh5NMPbfvID+PATag215BV7pp/NQFKGsUJpEmFvPMdmz11Z97Swaay/D3XynI89uYOf+oOvsD2GVYplVWaZUvye35umn1H/TgdRIhnCKnSd6sbSIsJYjVkG0tRMVWaZqavlWsfR5N4kw0jSJk9iv9ou1BaZ5Ww3hhZlqj7GcdI8Nm/26xt7VTTL3HNU8QsHxCKq69TPSYFigl/dPC3esxXLMJgabbsgw+BYx6lYs5mcBj+FUBKOG4ZOA3tfc5fppcZJWse9YkArR3ohVmodF8ZLFmcd24JhqGuWfU63v2vzZBiKmuWLxCwf8rb66UUpY5Y7JQl+v/v5a/gIs7ijcyC2uwwdx4Rp1DHL9a+GYRjSLi9/PXcLUozMOo516gAWNZN5qLJ5edy52cXID3E4DfCFq4fwwxjXD9Q0wDvH4rsRQwbkbf5WL8PYn4hiua6AVUFZWmYRmRPN8vf5o6/cxC/98dPyfjftFqhollXdMCiYhD6nWVsYNwY7DDo2e7HLYWiXjp/a8qmAmxTYYVrHhQx/6CwoI5TPXJtnL0kS7IzmODcsyDCCWC7WVRabXA/89a5Y1FZZRkqfZUaCH8DrIZGLkYb3LI9ezqqvCLJO02KWS66pKrPsOdbC+/veL17Hk7cWnVHmTKs8Gi/o/ByLZx0H8KzjMmaZc7zGw6Vx1007VuoyDMMwMPDs02L5lYh5FAkJQzoxrKrBL44TzMNlizPTNBZ0c1z4IYNZ9ixmgp+az/Jax8HAs+VWfROOUraj3A2DJhNxDkEU48lbx2x2hyb8S+vVMoy6beGIaS9E/qN5RqvY5KfDLPcq3DB82cDJn4gId24K6cTze1M8fkN4Jau6l+yMfbhpjC5BZSJVxd54jq2+m2sOa1ewcLauqV+g7LPoPj+XWgQ23VPbEgsyTiHkK07iF3MLwQfOD1hJkk2F7Xc8cgEfe3IHz5dYIC4fj1fE5tHXmCC5xbLHtI4LGDKBvI6WzrfNs3c0DTGP4lyxnL0zOg1+XFtPsoysSu7kapaVtPfMY+ZRRQ4A+UZS/vFo7C4jtVSiuIFlZvnHf+sL+Dd/+uzCz8zDiPXu0nhB19Mym63jVJIy6RRW1uBnGo0uKCEj7bYMa11H1gC3C06LZQZoNUoPOyd1hwPpi1xSkHZdW0OGETUWUj3XYjHWs0B8Z5UV/aX1DptZPpLMcrMM48r2GEGUaBTL1cwykDJdmpplIDO/zy9qivZxKoMTgUIRioMU1xe1DOSLfHV/gseoKUxx0bdzPMeZgbugc/YUtmhVsT8JsNl3avXlXIhBv3nrmj6r7B2hYuyZHVFMctY/3LAe1Ul8q+fKgu81l9YQxkltY08QNzPXf+0b7oFhGPi1jz9b+3OAetw1UP2+1YG7m+LZFlOz3Fx804JqFkQ5Nwz9Z297JMajc0ua5SgrlhXeRdlP0lAsb8rkzgpmmTmeOAo7JDRmq+x+9Wt2O3WsyTJbz3JmWaXwzgfIAGKhUrxX3BAWsn/LmGWzkXhT6Xmh3dC6CG3VUBKg3gUlVNBU5zHsOMoBRS81TotlBuZhDMc2civW1RQGU6kLXr4Nfc/SCiXhWGNxNctNxyri4nqHbe9Fq8oy39SiHdljKRM6CaLagoBw/XCKtY4tC58q9Cu2haM4Zm0vE7Ocv57LmmV1nTFpJotsLXfbtAySWd6fsB0Uitgd+zg78Bb+zk4XVKtmlqM4wcFkjq2ei54jZEltChYqpJplStX9AnSMp3dE2hpnt8BlhvWobg+bpoHzww4828S9Z8W9rSu4OGEMl9a7+M5HLuI3/uz5Rgu5zGdZUbOsXCyLxsemRtSOY7KkQFnxXSPDyFlsSs2y4licBzkEnR2I4jXvhqHT4Ddl9pNQP8h+E7PcpFlWafDTGKO6NX00OsylJLUKzHIcCzchlUWpm/PvjuIEQZQsMdZsn+WCDEPJOo7x/WVKZo0lG+mZWXHXNYuO4vmpSgPXOvbXXoPf1wLmqTWMlGGsiFmua6LjFrV5+EHMY5bZxbLadv8d611c4xbLsxoZRkGzTExokoBlD3XtYCYbDusgZBjLx+Myy44ttqny2787o2KxLP5UGexJM1ksWHyNLU7Cele4SlzZHuNKWuwpF8sjwSwX4TIshlRxNA0QJ8Bm34VpGui75feKi1nNwjQPL3WMKWNA6dl7ZldcP+7uA+faqGqWAdHkd9+5gXxP6z6He/wf+uZX4XAa4Lc/Wx8CE2ro5/ueXRoCVAfueXOt4ziJY91csUwLtFbMclosny/KMIJsoa3yLkoP/Ibx2bZMDDs2Dpsa/JiaZe4OCeeYefTqZBgazKUtfZYLZIPGuYkEP/F7dN2L8/88EmRaE4o+y7bZrAlW2Znc7LkwjGUp4MLxNJjlIGyWYajamQ47zqlm+ZUI0eBnrbzBr24C77vqzLLwkW3o9ldo8OM29xEubQjvV86gSqvfsgY/WqXT9tdj14/kv3Em2xtH0wVNZxUGnlVaFHGDP4rMsmkAe+OCDCMdTDgreYLUTBaYMtVO8yLu2uzhI09sywHTV5VhjHyZBpiHx2T1VLCXbh1vpc4bgpXUZyLku9awmDQMAz23/LmgCZ3uN6tYtngyDJWIYMLf/+7X4B/9xUeybeeaz+EWnW+9ZxP3nu3jPzx2s/bndNwwhh0dZjnhFcu2hSBKGpm6uZQJ1DHL4v2bBuFKNMtULJ8biDEpb42pxSxTgx9jfN6sibzmFo+qri4A4Fr8uaPrVEsOdeQ+VUx4dm5qMgzS7c5yPTR5BGHM+r5lPsurZJYt08BG11mag8qOx5mP3HTR0bRjBaCxebiItY59qll+JcJPJzIpw1iRdRxt65YxBF3XUmZhOMxy3ZbX4rk1OwcUccd6F0kC3GTEKtcxy6ZpLGxfP37jWDJBnEL/+sGstrmP0HfrNMuMLXbbwrnpk8DxDQBiG7vKDUNlsO/IVKvFc6PFQ1OwRhXu3OwuuB2oeCMnSYLd0Rxnh8vMMsdeSRU0wZPusu+pvw95yHeNUWAI14YSGUbhO7KZZWaYgyqz/NZXbeHt927luv/rGCBesINhGHjNpSGeTJMB684XUGWWLYz8kB2bDKSsHYtZFj/T1OTHaRjLyzBW4YaxM5rDtUzZn0GExsgP5bOhsjMzZTLLgGjyq5Jh+FwZBjHhCjIMledCMMv1mmUVuU/VDrBO82F+l5Pe/yJZ5qsyyzmf5SYbWlVrts2+uyQFzCNWTPADeDIMVc3yWte57UJJTotlBuZhDM8y5Qu7qgS/WU3xw2WA8/BZzDKvWJ4GsSzauMjs4xjF8jSAYxmV2+JeqhU7nAS4djjDa9OI5aaCaRZE2B3PG5v7gGoNJZtZtk387ev/AK9/8v8EIIrRncJAFSs0aBAy66oKGYYms0y6ZccysNFzlCboY1909J8tYZa5BaEK9sZiIJXMcseRzVY6qOsPKKJX0YhWZM9XWSz7GswygdOAFSpEBj9wboDn9ia1oUCSWVZ0w4jiRGlhxQ1rISlKU7Gcaa1rZBjpsca+sI4zDfEu6oZRbR/7ODf0pO6aZBj5ouYkNMsAsNFza32WXcts1IMrxbZryjCaNMt6oSTFRjz18TPb5YxzMozsuEmSyPqgCUWfZdHgx2OWufPHmYZiWdVnGagvlgO5mFFt8BNzL6cH6eWC02KZAQoMcFZsHVe3Ndzz1K3jOKEkXWYRLphltceD4qU5jhhHMxF1XTVQe47oQn78ptArv/nuDQDNjTbEanOK5X5bNwzLwDA+hBmMYRriM4tbYDrMcs8t1yzL5hnFxksCOWLcf26AXsE/tAk76VZymWY5r+tbFfbTAZ/sr4aejVELJoIrwwCo8bOswW/x77gLKq5m2dXwz6bPADiaZd7x7z8/QJxkrh/lx1N/rslyUEWryNcs8ywMOQ1+tPtA8gnytNZt8tse+bK5D8hkGPmiRuX9oZRFzi7JRteplmEwF2h17hJlx8z/Dgd11nE6oRdZKEk5s6zkhuFkkplMhpEdl8Z3tQQ/9QY/bjG6xWSWuT7LQBOzrC7HAsSOcpy0a5x9sXFaLDNAtk6WlGGsyDpOdugv3wZuI97C8cK42RrLFdq+pkJppqFZvphKHzhey8ezEIOS9D4CFWDkhPGWezYBNNuH0WezZBgVDUcRMzHKs4BuMkUSBeg6Fs4MvCUZhtymUiiEiNEvapZXxSw/fHGozAZT00jRDYPORzeavApFzXJbGYZk4xjPdL9CszwLYtlxDvDYnpPULGefYchjVCGM+TKPB84PAKBWihEyis4idCwAhTxl9cxyvc+yOBa5WNCOmW6THzHLhDJmmVOIEojs6DFlGAdVbhhRxHKtUGKWNdwwKJSkTJ4TaDT4Zb1F5W5Cqj7LgJirScqVZ5ZVCvBiseww4qSpwY/LLG/1vQZmmd/gl40rJ2Edp75wfqlxWiwzQNtVjnlSDX7lMgxVT1I/bB78euQj27Ci09EsDzwbw46NGwxm+XgWLhQeRbipDvbR60dY69i4/9wgPe/6yfDGUZreVxN1nZ2vhXkUL00CYcRjloemmEyTKEDXtXFm4GIyjxZYEpXBidDILGsWVcQsv/rimnqxPKphlp3Va5b3x3N4tim3xAee00o36qsyyxVuGA9dGMr/ZjPLJ5DgV/wMOkbd8bns1H1nBzCMhmJZyjDUfJYBNf0vV7NM70ST1zInTIWekVtH4pmnXSpdn++lYtlpK8Pg6+83ei6OZkEpg6nKLKsUyyrPcs8V8pyynRGdUKfMOm4VbhjZro1fwiyruH84lokf/86H8b1fdwnA6q3jAGCrLzTqVfIGlePRPYxH28Cv/1Vgsrf0M6G2DEPsGN5O9nGnxTIDNKiYpgHTWGGDX1hvHeeHsZJOzg+ameUhc8LSccMA+PZxo1koJ88yeLaJ6TzEhx7bxtvv3ZI/y2eWeTKMsmNGzGaooZF+zyhA1zVxJmVBd3NSDJ1Qkp6TduNXaJZ1EvwA4MHzQ/zdb38Qf+XNl9nyAML2qJpZPokGP0rvI5nOIG0O04VKg1/ftUq3B2dBhAdT1tUwmB3lttXYGKXj/5oHS1uoUIx3XQuXN7p4aru6WJZyBoUiRqdY5oa10HZ5k33cnCEfMU0DXcfCrWPxfl9cE4tMHc18FCfYG/s4l3tviKnNW3zpNPhxFs1n+i6SpDzyWrlYZsqJ8r/DQRU5AOgtyqQMo8QPGVB1w8iiyenZyjPWqouD/+5b78cD58WCW1jH8Rr8+MWyhyhOKovQOElgGGjUqQPZd/JufhZ44r3AjS8s/UyosZgBsjCyU2b5FYb8oGJbzd6IXMxqZBh9j5q8eA9TnK7MmwbQAXP7YxY0B5yU4dIGL8Xv2A8x8JadMAiebeITT+/hxtEM3/emywsd6nW4fjjFeteR9k916FdM3lw3DGKWjThEz7GlrVqeMYo0tqm6FTIMnW3EPCzTwI/9+YdwYa3DlgcQiFkmWUQe7klolidz6YQBiOdW1UkhD5UGv75nY1KQfAjrqBjnhx6GHZu9U8C5znMG21kHfoMf/xl84PygQYahXsToyTCYmmWbJ8MImSEnPdfCzRUwy3vjOeIEC8yybQlnJV1meRZE6DoWq+ChnaCiPAzI8gOaoJLgp2PPVje262mWK5jlNjKMMMrJMLIxqI33vWM1x12r7kxmhE25FCOKE/ax6DomfmrdGizP63Ic0EjwA3Bb2cedFssMzHPshmMaL0qDX5dZHObPEWhmHblaodlcPZQEEBMLJ8Vv5AcyYaoMnm0JXbNn452vuZBNtA2LhxuHMxarDGRMV/GYXDeMoZEOHnGArmthq2RiCjVkGN0K67h5ymzoFst5uHazznjkh/gb7/kkntkZY3c0x0bPKS1cvBNxw5gvFOY6Tgp5qDb4FRdQktV3LNy12WMvfsS1aWI728lrmpi/JElS6zj+8e8/N8CVnVHldq7O9ist1NWYZa5mOdOW1h8vZrFgXdeSDX46muUbhzP84L/+JH7pj68AWN6R8WxTFstDz1b0Webv+tECnha7eXCZZU+BWZZMq1KDH0kDIxxOg4WGxFCRWQVy1nEFUotILr1iOZbMd5kMQ+fdtUyTXSyrNPgBy0my8nhJwvb8d8kOz08XzcFyw6/O/QGydMlTZvkVBj8XZ2lbzQ84F3URvH1XjYXhJpTRiq4p4GEW6hXLwj+x+ZxHTQ1+6ff4rtddRMex4NmmsHBqaPK6uj/FZUZ6H1DNdHHdMAYQxbIRh+g6lrRVy6/qadtLJZQks66qkmG0f209u9kN48r2CB96fBv/z6efTwNJllllOp9VN/gdTAJs5j5Px0khD+lNyygyzg5c+KGwLSTk+wvu3uIXyxy5S6Ch81z4jAbmT3bsKxS2D5wfYBbEeOGgfJdIWrC9CDIMboIfwGnw4xXfPdeS900Wywrn/bnn9/GRJ7bxix8VxXKeWQbEooukEZt9V1mGwfFYBrKI7aKlJcC3K1Rp8NNpQs4nlv74b34Bf+ffflb+Wxipb/PL813SLItnQ80NI/vupTKMFrtCjtVMvKlax1GxXLaTAIgdaFVm2ZgLR6oyZjmLu1b7/lSH3E5ey6fFMgP5FTing5WLOu0ZWWYV45OrwNWzDhhFRxjFCKKEPSDn0XXElnydf2KSJBj5zZplAPjLb7oMQGisRORx9XknSYLn9ya4a6vHOtdBKnUpxihz3TD6slgO0HOt3JZnxuKETJY6D8s0Sj2g52GMH7Z+H+7RM0rHKwM1UNaB/v2Dj94SgSQlemV5LIWAEw72JnNs9TKZjs4Wfh60MOUsNO5On5/n9zMmJS+ZetPdG+wFmYoMo71muYIFpoJDYUKTjhgVuuUwEotAFUaJ23eQR8CUCnSkxVczs8yZ2Ls5GdfFNfVimcb2f/L9b8C73vkgvu6ujYV/92wTpCja7DlKOybTecSWyNE7S9aPeeRJoDqYpgHbNNTirjVkGON5iC9fP5SMPqDns0zPeaUbho5mOYxLZRhtUlUt00CcoHauVG1wpGK5TKMujse/lrJY9quLZbrGum4YR6fM8isHSZIsaLs4Haxc+EEkGweLePVF0QTw+I2jpX8rPxavGFhjPKSUVKSjWaYCe1rD8PihKMbrmOWtvovLG118/X1n5N/1vXqP6P1JgPE8wp2bLw6z3EvE4GEmITquhZ5rLWyvAulKXnEgAcRgsqTnmh3iJ5xfh/3l31I+XhEcxpOeqcduHOOxG0eVxbJnW0rMWBPCKMbhdJFZ1mEl8/AD4RTD0XnSYuu5vXyxnMk4fvjP3Yf3vesdrM/luGEEoR47k/8MoLrBb66hK3wgdZ95qkK3HMSxUnMfIIoiw1CTMwQhz/KOM+4AosjnHS8tFAzg/Jp47lWKfIqkfsdD5/Cudz609Jk0TpuG2I1TDSXhyjDWuw4s01hoOiao2BVyXV3maYiM0k5a+l0OpwFe2J8ufE7GXKo3+C0l+LWSYeR9lrPz02lozM7TLD3PPCIFX2SgWYYRJwm4t4bOzwxIhpEWy/MJ8JH/BYgCrRwBQCxuXdu8rdwwmrugvsYRxgmSJHsZRAfr6qzjqtjbi2sdrHcdPHrjmHesGmeNPKQMo2bCIm2WFrPsZpNWv4I5JlZ7WMMs/8R3vxazMFooNHueVRoWQXg+LW64zDJJXYoFGFez3ENWLPfShpuNnoPDXJEbKmx75bHWcZYGEss/AAAY8/ooYg48BuOZl1YczcJS2ziA0hZXJ8M4nAZIEiw2+LUsllUKjNJiOcxkHCqFAKfIoO1hfWa53meZY5dWxGbfxVbfrXTECCOeY0we2e4Q/1kJopilf13vinGtylM4fzzOeVOD8MCz4dliYldxw2iSxRFj2fdsuFazK0Ie03kkHXOaYJoGtvpueYNf2NwQTnAsnnuOKJZVF1Hiuzx+4xhxsrg7oKOJdapkGBossIz6DjLruLwWms5VZ6FL36mOfFNlljuOhb5rVcowIgXyhq6TOS8Uy8/8MfChnwRe9S2I4gvi/DQCldY6No6mp8zyKwbFDlrRwbqqBr9qxwnDMPDwxSEeu75aZrnjiHCVOq0QDfRlMdxN6Ob0Z1WggqeOWV7vOTI5i9B3bUxqJqyr++JlvmuTK8OoYJYjnhtGNxHFlJmEshDrONaCblJlcMpjrbs8kNhpsYwVFMucIq6oP6xmltVs6JqQ13ISZHOY5radim/4WsfBZs8pMMt6uy0cBp9M/08qwU/XC/XyRrcyuj6MeFKlIoS8iM8mzaMYDuNzuq6FjmNWbj8TgjhhFUv0Pq91sgRJJWa5IZKatLADz1b2PJ8GEStch3Cm72KnrMGPacsHiGeMU9Bzrf7yIBnGV66JuS5fLEcammV6LosNfnpuGDkZRrgsw9BpGiyeZ1BST1w/nCKM4px1HP+4WwN3KUmWECX8+chJG/ysoNDgR/PPfJxL8lT//msd51Sz/EpCUYNlM/LcuWhqonvNpTWx2mbIPogFbIpCNgwDw45dq1mmYq8ts1wFKnjqrOPK0HMbmOV9YpbbyTC4zHI3TpnlOCuWPdtcCEbQLpZLmGV7nhbL/oqK5cYijraSzwIoDyQBMp9lXVu3IvbG4ntv9RbdMAD9eNRZECv5ht+91ZM7FeL3+W4aebip1WTdO9xWs9zUgBVoMMsAcGHNk/ZpS8dUSATMQzWJUcUfeqtXH/ULiGZKFrMsw3DEc9f3bKWFmh9EMIxq8oL+vk/FcsO7eOtohl/86FOphWEkZSIcnBt6pb0vFLbFgUjp5FnHqep3ZbGcEkN59xgdzbJlGjCMZVmSjmRCOoHkZBhlCX46muUsaXBxbDiaBfi2f/ph/L+fu6bc4Aek70HFDkscJ+xjyVjuoKBZno/TP0dZ3LXGQn/YsU81y68kFFejtrm6Br8mtus1l4YYzyPJmNYfq9pZo4hhp75RrokVqQOHWT5OmaW6Br8yNGmWn9+bYKPnSKlJE1zbhGuZS9vCYZyw4qk7KbPsGJmcpuNYC8EIXM/mIspcRez5ofg/q2CWreamPFqAfe/X3QEAlU1tnmMhSaobzFRBBc9GrsFvFW4YKi4id5/p49nd5WJZdbeFE+igW8wSmkJJsmhqtQnt/FoHt45qmGWNCXLQcZTkDEGUSIarCZt9F/sNxXIY84pvKuCoEUkw4vwif5qO7VUaeSnDcC1WE+j7vnITP/2Hj+Gp7bGSGwYgmOW2mmWuPaQf6DDL4hrTTk7+XdHZFTEMA06JXDILEOEfi8gn0eC3LMNo431PC4DiTvVzuxPMghi3jmdaCYZb/RpmWYG8offEDtLiOMxplgFgPtayRiUMT5nlVxaKpuPOiq3j6rZ1H764BgB4lNHkJ5llxks78OofUpl2dsLMcl3cdRl6bj0r9fz+lC3BkMf0rBJmmbfF3InFoGEjkpNrx16UYYgGP6VTApDquQr3yAvSYtnn6djr4DmMBr/02f/mB87i9//Ot+AdD54r/bkqqyZdULGcl320d8NQs0K8e6uLFw6mUu+rK8PgeNS2YaeA5gY/HZs3ALgw7GB3PC8tkkTIifr5DkretzoEChrYzZ7bKMOYRzy/aXLDGCwUy/yJvUkjv8QsNzaBin9/bm+s5LMMAGcGHnaOK0JJVtzgt1cIE+Kg45jI11r5XSqdUBKg3LVKZweH3sm8G8bqGvzK5SLXUrvG2TzKmGUVGUbfw16VZjnhM8tyNz0saJapeJ6PEUaiYVClj4Ow1q3f4X654bRYbgAVLDS4WWZz6g4XsyCqZaoeujCEYQCPXW8ujlSikJu2P1TSzorgdKUTq61aLA8adINX9yZsJwxC310+JtcNw43EoGEjY3o8Z1GGIazj9Jjlo2mwIG3wgnTRtIJi2bUsRHFS21yS18G/7vJ65YAo2ZcVNfntlKQFSieFFsWyyuLv7q0eojiRml2f2UBbhGSWawoN6dWqKcOgQqJahqHHLF9IXSC2S/SuQoahPkGWvW91UNnW3+y72G9q8AtjljY8Y5bF7sagYTeuiFkQo1NzP+md6Xu2aJ5rKESJfXx2d5Jax/Gfw7MDD9MgWtqVEzIM3nG4DX5743mlXKsKhmEsvJtJkjHKOj7LAMkl2zf42Zbo8fEXZBjLzLLOu0A7jsUxmLzNZ2Es3TBUvv+ZgYvd8bxUFqfizkTfyQ3T4jgoMssj5bCjPIaec5rg90rCez72DFzbxNvv3QLAMxLnYhbGtYNe17Vw75k+HmMwy9xQEkCwlnX6u1kbGYbbLMOQDX6KMoyea1cmGsZxgqv7U7YTBqHMz5irWfaiVIaBUDJRxQa/WKGhIo+1joM4wYJG2wvT52BFDX5AfRGX7VbUPwd59mUV2B35WO86C2yNYRgYNPhs10E1vr3oiEHPs3KxzAh0aMssG4aR6l6r0vY0meW0wfZmiRRDyDA0mOWGfoki1DTLTqNmOYx5CX5ULOc1yypa66YmPHqnhNuGCb8puCa9t8/uTtRlGBWR16rWcRz54e5oMXmTC7k4Sa83jSWywU2xGHUsE8GSdRwv6rwIL/WRn+XOiQpRfwXMcvG6vpDKLqfzSBbmKq/uZk+EKpURVlHC13+T9tuJqFieLP45H7N3Yctwyiy/gvDVm8f495+5ir/+Dffg0rpgLG1zdQ1+fhDVsg8A8PClIR5lOGJQUcXZnht4ttQNl6FVsczRLFODnyKz3PcsjOdh6Yr51rGPeRTjLkVmeaPn4KCwuuXqjJ0SZsUWcwcAACAASURBVLnjLCbjcVnqIta6qR927ty6VCyvqMEPaC7iDKOZNcmnXK0COxXs1KBhkVeHmYJ1HJAFk1CxnDX4qbthAPXXps1WrvycGnZSMsuKxyd/4TLdchCph+0A6e4Qs0kzihPECV/Lvdl3cTgNasmMeZSwrkPmhpHJMFQmdr+hHyWTYVhS4lDXIEvPyFPbgs3rKTzLMsUvt0Mg8wO4xTKD/QaA3XF10mcd6Ho/lOYL0GcFcqGnIcMIl5llnQUpuf3kSRB6p4IWC127glm+dpgyy0EkG4OVmOWaFD/R4Mc7jmEYcC3Ak8VyOg7MMxlGEOnNb4DYtZkG0cp6wE4ap8VyDf75Hz2BrmPhb3/r/fLvbMsotXrRAUdH+fDFNTy7N2ncujxMtXrkN1oHIaxnuGEoDMgEjmb5eBbCtUyWZCSPnmsjSbAgcyCQE8adiszy2YG3ZKvEZZadMCuWM82yWaJZ1mt+ALCgW+5FqfxiFTIM8g+N6sNjXKs5yCNvr7QK7Bz7pTZ1KoVWEdOG4qWIS+td2KaRFcvpd1N9JzgNfm2ZZaA+WVT6LCs+hxmzvCzD4DbKFTFIXSU4zimy8ZHZ4EeMZnHxm0cY8WQY3YIbhqrWmq1Zdm153+vkfUTQPJb67qsQGWf6aYpfrnii55Hb9MrRLE/mIWZBjK1+ucVkHcjznsK4aFcrs05Te3Zta1kuqWNrB4jxLe+zDGS7NW2cbOg7FRsRJbMcZJpllQa6umASVXemDSt3jCVmeYRI0xUHyBaitwu7fFosV+DawRTv/dIN/M1vuRdnchO3s0rrOMbW8KsvDpEkwFcrkrQIh9MgTZBjumHUTFitQklYPsuBMqsMCBYGKLcPu0q2cYoNfmcGi4b9SZKwBxQ7LZYdRIs+ywvMcqwdSgJgwWu5H6fMcjAGWi7YPIY8wGeGFmQyjNVolnfHc8mG5dFXZPfymAWxkpOFZRq4c7NbwiyvXoYRtNQsA/Xb5NILVXFS2+q5sE2jQoahHkoCiHsYxsnCwupLLxyWNhyrRidTY1mdI0YQqckwMjcMwYJxJXizIK4dP+lZpAY/gPeMUBS0yqLt7FDMX7s5UkB1geam9pCHkwBP3ipfrNM42oZZfvWFRWZZOrkoSojKNNY6gSkAffdogaRZBbOcJQ0WZBgH4n2bBbGWDGVrUFMsKzT4AcCGmXv3lzTLYzG/aTLLA0ZA2ssJp8VyBa6nWyFvvmdz4e9XaR3H0Z49cF7Ezj7ZUCwfTAIWqwyI7ewwTkoZWuDk465Hs1BZrwxkFkNlDM/ze+J+qTb4nR14OJwGcnBW6b6mYtk0EnTT2+gVmOU2oSTAogyjH+cmqZa6ZcksN2iWOQXmymUYI1+yYXkMO2rNYXmoNvgBQrf83C4Vy4JlV+365lzn1TDLNTIMTS9U0zRwfljutRxE6nHXwHIQUBjF+P6f/xP8X594ruQz1GLAqViu0y2HbBkGuWGIMTVbqPMWhKIJr6bBr+CGATQVy4vEhqp1HCAWoQRVyzOSYfzwr34K/9W/+mTpz9B119Usnx248neL47GyZtk0y2UYWsyymYaS5JjlKGOWDUOd+Qby1nHZvZ0Fkdzp9MNINvipEC7n08URyTnyUN3p3LDSYtnycsVyFkoSasqxgKy+mK2IZDlpnBbLFchWyYuTtm0ZtQ4CKuDIMO7Z6sGxjOZiecovlmmLv8o+TjYzKbJogGCvXMtsdMPQKZYHNGGVNNo8vzfB+aGnrLM+U1iFh9zBOY5hBWPMk5QhsjOf61kQLVgf6UWBLsswhskIMb2yLYtljzFB+wGPWaaJu2h1p4MginEwCUplGP1WDX71xUsZ7t7qLTDLTYE/ZeC5YVCCXztmuTLBT5OdA1Kv5eMSZlnzuS7Glo/nEfwwLo2pVvWf3uyLd6bOPo6bCFhs8COGmfv8NY3t9F4NUs0ynVsViuyjSrHccSwMPFuy0vnPUmnwu7Izxief2auUudAYquqGAQBve9UWvuORi/K60OIyVCAv8uh51tIcpKLRzsNzxEJhtiDDEOdFOmjVpkGgPJQkn5g51bSOu2O9i4Fn4/EbyzsAKgl+ALBmps/M4ELms7zQ4Kc3DgBZfTGrqRVeTjgtlisgV8mFF982V+OznCRiK7KJubMtE/ee7TcWy4eTYCHEoQ5SK1Qx8M/CCK6tzqIROo7Z2OCnI8MgZrksmOTa4RSXFVllIK/nE4MCm1kOxjCQ4ABi27Bjid/rOCbiXEBHqJCYlMdal2QY6cSUJBgkIxw6Ik2vbZMfyw0j4hXLD10UFodfvMqLZq/Dfs2Eq9vgF0QxwjhRXkhdWOvIXQe/IW2zCko+yyfU4Bcqan/zuLDm4UZJ5LWuG0a/UCzTOFE2YarachErWWcfF0Y8jeUb7lzHj7zjPnzzA2cWzpu7s9FcLIt/6+U0y03Mcn4YUYm7BkSTXymzrJDgR8iTAXnQGFq2K9SEd73zIfzUX3790k4MPbuqzO1G11lagOk3+FnSZ5kWUUGOWdZd5JaFkpBeeeDZmIWRViiJaRp46MJA6tvziBTno3WSYQzOlVrHBZrWqEC2I1m1w/1yw2mxXAEaWIr6K7umkUYFvoLU4YHzAzy13axZ3ujyVvTEllTpP2dz9S3rPLqu1Wgdt9ZKs7x87N3RHOdK2MgmkDZ2t8gsNw0AabF6kPQBAD0rY5aBbGspTvS2qYjJkn7YwRQeAhy6l9LPb9fkx2GzBLPc/BysdRy8+sIQn35uv9U5AZmnb5lmuczmjwPd+PbNdPF5MJkrW88RyMeWpVnWZGjE79ZoljUmXMKFtU6pZjmIEuWGQSDH0KbPNS18y/TuyswyQ4YRMJMHPdvC3//u12Q+y4oJkk0SOyoUBjkZRp1UJ4hinB96sjBTfZbPDLxyzTJzgdbzLFimge95w6UFMiCPKoJJBVmz8KKnseoYulESUKPNLEvNciSfA2KDdaUdQHkoyQsHohC9/1x/0TpO8VV79cU1PH7jeGlRo2plumamBfLggmCUk2QhlCRqoVmWc+Ups3x7Y288R8+1ltgBZ0XWcSoNQw+cG+DZ3XHtQ3Uwna9MhqFbGBB6rt3ohtFGszwpKZh2Rupm+ECWEreryiynxeq+ZJbT7vLCABBGiRZD71gmeq6V3aOpKESPvLRYnrcsllkNfhF7InjzPZv47LP70upIFyR/qnLDGPk8J4U8dNP3NnoZU9kUTV+FpnQ9QNwD01BvwCt+TlXceNiiGL+w1sHRLFxa/IaxXty1ZGjnVCyL45ZFr6tqljuOhZ5rNTb46TR5lbnT1GEWxPwEP8a7GEZi4Xrnltg9Uy6W++6C608xmbYJP/KO+/Dr/83X4013bQAo15nujedwbRN9DRclQnHHi3o+VGUO610HhwVmOdBkgV1bBE35YSx3RIkN1nXYALLF6wKzfDCDaQD3nOljFsRSY6z6/R++OMThNMCNwkI3ihMl/fPQoGL5PJDEQDRfbPBro1k+lWG8MrA3LjdXF5Y07ZnlbAJvHljuPz9AnADP7I4rf+ZAQYZRZHeKUDW9L6LjWJXhIUCqWdZhlqnBr3DsOE6wP5lrbf+dKXiQ0r1tXC2nxephyix3zPR+EkuU3l9dZhkQjK10w0iL5VGXmOUXQYbBdMMAgLfcvYljP2x0bWmC3Mot0yx7NuIK68A66PqGS3eFyVxYz2m8E1ynA137JYJjGTU+y9Tgp6FZTpuFirpl3eSuIkNL96as+NJh3Dd7LvZqNMtBpJc8SLtWO8fLzY5FJEmSWhXWNfiRGwZPsxyk2tBXnUl3shQLUsEsL1vHcQu9S+tdfP19Z5bIgDx2x3Oc6bta+l1CsZdC16d+s+fi2A8XFqm6bhiebUrSgkJTghyzrPvuShlGnlnen+LCWgfDjo1ZIJhlHTelh1MLvqIUI47V9M9D5JhlQLDLQd4No4VmWTb4ncowbmvQi1+E2O5cIbPMlGEA1Y4Ys0A0yawzi+VGGYZmYUDoOmbtalG4YfDONY+ebPBbPO/DaYAoTrSYZdoGpYlElVk+SMS9MRNxTnTd8tuIuttUa11bMlnxZA8AMO4Qs/xiuGHw7dbekrrGfPrZdlIM2VhboVkGUBuoUwbdYnljQYah3iAIZIVe06KkTXOf+JzqBj/J0Go8h1Vey6GmDCNzwxD3ZCI1y8vnrhMDvtl3apllXX/os0PxPJZFfxchJXY1Be3b7t3C937dHbj/3IC1+xCkzwiF5ag+y2cHYhER5RrTgMxCkosiGZDH7sjXcsLIo9jgp5sQR+9u3k1I3w3DwmF6HBqD5HVswSzLBr/cbty1gykub3Rlo7huAuzDF9cAYKnJT7XBTzLL/XPiz2CahZIEY9G7oKlZPpVhvEKwNy5/8S1zNW4YxKSwmOVzAxhGdbFMLzJXhlHmtJBHLYs22QNe+Ezt8bvucicywQ8jzKNYstsqGBS2cAm7YzGB6QzUhmHgbN+Vhv20ym8cUFJmdx+iWEa0WCzT5K9rHQeIrV+6R+FYFMuz/h3p57eTYWSTUk0oSRCxmeV7zvRwpu+2LpZ3xj5c25QMTh6kcz+qCZ0og8ouTh6bFHIxCVJpkj6z7EfCo/bawbKdU5utXIJXExoRKmp/86iKvNZv8Ftc8E5qGvx0PGwFs1z+fCRJIpIHNc6759rouxZ2juvjtAGexO7yRhc/91+8CR3H4skwUgbvNZeGcCxDNgBzMfBEoBONy7pNpXUFzt54XrojpILiToxuQhwVy/lmz3mUZN/3934U+MQvsI7l2absHRlIZjlt8AuT1g1+ceADP/cW4NHfxwsHU9yx0UXXsVJfb73vv95zcHGts1wsKzb49TGFDw/wRPGNyR6ABPDWgTiEEfvaO6ek2/dPi+XbG3ujeWkS0aoa/FR0lB3Hwl2bvcpimbp+2Q1+Dck5fp1m+ZO/BPzy9wihfwW6jl0pwxgVBh0VeLYJ0wAmBeu4nRqdKwdnh54suCWz3LS1lDK7hwkVy3N5jkA2mXDTAMuw1rGlDEMWy73L4h9bF8vNjWdzphsGIBYdb7lnE59p2eS3czzH2YqtXI7bQRmoQNBt8JOaZR03jFyD38+891H80HuWPWrbbOUS6hr8Qu4zXYILaeT1zaMZcP3zwNF1AEIWoCNnICkVOfFMg0U5xsJ5z30AaglhW323klmm68BJ8CvDuaHHYpbl8+ZaQBwBVz5c+/NcqY5tmvj+N9+J973rHWxihNDzFp2E2hfLJcxyxW6sCoppoLrjJ12fw2neASTKCtsnPwg8/VHeOTmmnBdoRzTMMcu6YUL0/rjHzwG7TyK+9Siup65O5Krkh5E22fLqi0M8en3RoUiVqe5jionRBZzUaWqyI/4cCKbZCqcraPA7lWHctkiSRLz4JVvBzoqs41QTwR44P6gplsWAwNUsW6aBnmtVOgvUapZnh0KzFC53yBO6rlW5tUKfqVMsG4aBvrscedzG3xNYbH7hu2FQg19aLMeigCtjlnWs4wBhH5fJMEQRGvYvAIa1MhlGkxuGymT6lns28fTOeKHrXhW7Y7+SneK4HZRBRfKUR9cRetKDyRx+2I5ZnocxvnprhOsHZc4S7ZllToKfTkG+3nXg2iZuHfvAb/wA8OGfAQDt7VfTNNB3rSVmeUkOFMzwtt/+Jnyf+TFlzXJVsdxGuw2kxXKJ53QRC0TIkx8EfvUvATe/UvnzHElUmGqtbcvEfecGimcO9NJnl4gG3ZjmuiCJqj4fFWTvSyZj07lfNFYcLDDLufcsnGXa26ZzsrL3nnZEM2Y5UpayEKjI7IyeBwD4symCKMGFXF7A2A+1i9GHLw3x1PZoYVxQbfDrJxOMjR7gpMm4k930H84DANxoor3QP23wewVgkhrlVzX4RXGi3JFfBDGsPWbR+MD5Aa7sjEslIAeKMgxAvPTVbhg1LBoVyfPqZsNujc8ysdk6DX6A0C0XmWUqznQH6nzzi65mOZNhlDDLmkyWaPDLNMvzxILlDQFv0L7Bjx13zS8QSbf8mecOtM9rd1QedQ3kZRG6xbJasWsYBjZ7DvZJs6xR0OaL5Rf2pzj2w6V3eKogd6lCbYIfFYkak24mU/KB0S1gvA1AP+4aWPTLrvRZPrwK19/Hq8wbyszysR+WXos2iwZA7FztjJqfPfpOXccCxrfEX1KRUQKOF3fbJlCSv9DiRDc1skqGMZ1HmMyj1RXL0Wo0y/liOchLJoJZ7RyWRz6MqGgdF0SJln85kD2H3fFVAMB8Jor3ta4jr/PIj7TJlocvDhFECZ7eyb5nFKu5M/WSCcboAY6QY2GcPscps2xH+syyYxkwjdMEv9sadbGd9IC3bfKjOO071jusn3/g/ADzMC51xFDVLANCD1slw6hllqOUNaxhNuus44hZ1tEsAyhllmkC2+rpFssudkdzJEnCd8PwjwHThm+mK+4isxxmxbI+s2zjaJZapU32cYgBXMcC3OHqmOWmuGuFIu51l9fhWEYr3fLOqJpZ3pLMsp4MQ4cZ3ui6rWQYlmnAMg2M5yFupqxkcZH67O5EOaa9CNHgV28dp71d6lqI/Jl499NG00CzUQ4QriajeVGzXHgODwXb1oWvxH7KBdV0uaht62ctmOXmXZOFfhSSS9W8rywvbk2GldB1VyTDsMu3zknG1l6GsdhAqNsgTZLEfNqgkEykxwqnmQUa85yAzPqQ5gnloJPRNhCJc6JFQG8snvXAFzXBWseR8+/YD7VlfA+eF44Y+R3pOFFjlrvJBGOUyDByzLLu+RmGkTYynsowbltUBZIA2QPe1j7uhYMZHMtg62zJ3/LTzywXIuQnyZVhAJln7eEkwIceu7Xwb7OgxgUhTCeLGmaz41SHklCBPtRwwwAEs1x0w9gbz7HRc/S3Vwce5lG8wPo1DgDzEeANASv9HukAWJxMopbWcVGciIJidoDDpC8mN28I+O3S8tjWcQrShY5j4XWX1/EZzWI5SRLs1vhld10LHcesjTMug6/pswyId6pNKAkg2LtndsZS5n+Ym8DjWDA/92tsrechGvzK37kgTrQjeQHxTFt+uluQWhi28VcdeHaJDGOZWQaAHnw1Zpns/koWVGFLZvncwMPhNKhtigVEqBOQFsuz9D2tGS8572LIjOmuAlnNyevdVoZRIEPqCCYV2KYBw8iYZfZz9u//W+B9PyH/c9ixYRqLu1CisLXELmAcsgmH/O4a7Yief/LfATe+qCahiiPgX7wV+PQvA8h8lvuTFwAA4VwspolZthHix7d/HG/A47zjF0D1QN4iVrXhvBtPMEI3k2GMqVgWzLIbTbV3mABI14/bAafFcgn2atwVsojKdszytYMpLq132VsiD5wfYKvv4hNP7y3928F0Dss0lHTAw45gLX/2fY/hv/6VP1soQGd1zDIVy7UyDAvzKJaMVh4jf9GCRxWCWS7IMMZ+K0ZDei0f+znNMoNZdoeAmX4PySwvukzohpIAucjrWQBjuo8DDATLsQIZBk1KVTrJJEkwV5RhAMJv+fNXD2on/ioczULMo7g2iXGr5yprlnUb/IBUAzsJMNOMuwZEQZLfCs0Xyy8cTOGHMe4/365YdiyjNpSk3YRmwgrSom+6n+7A6DOdAy8vw6AGvyKznBbLhq+oWRbvjHxG/GPgX74TuP6FVnIUQDQCA1jwKy7DwvNGi9qaEKHMXrC6aGgrwygWy5l1nNozXSXDkARTSzcMwzDSxDxFN6FnPwbc+KL8T9M0sF6IvJaaZZISMjXLeWaZXHoe/txPA5/5VbXm3HAGzA6A4xsAsobbwVQ86+FcMMvDjo2OY2ITI7wx+BzemDzGO36SAJ/+FbmbQfVAvjcpTqA0H3WSCY6T6gY/J5poW8cBworwlFm+jSG9XkvcMOjFmPgRfuYPH11KCeLihdRPkQvDMPD2V23hE08va98OJgE2uo4Sc7TWcXDraIbf+ewLSJLFF6rWUzbkyDBIilBSLLdwwwDENliRWRbpffqDNN3n3fE8xywzGvy8AUybmGVxTl5Jg18bZhkAjqYhTP8AB8Qsu4PWMgzDMODWePPS36tqad9yzyb8MMZXrqsz37sykKR64bPRc5U1y9vHPkwj20JVwWbfwc2jGZJET8YBiGL52d1sYs4XyxRj35ZZbmrw030GAfG93XlWLEsrOs1j9nOx5U3Mche+mnWcdExJn5HtJ4CrfwY8+yfy+ug2U9IirkmKsWBVODsUf1njXpP5LFcTMG004kAu/bSlDMOrCJLYG1XvxqrCzenvWb7YcQwcX5eORISNnitlGLT4dy2DRfgsnI9t4l87/wQ/YH1AzltmNAeCifBI515D+txUyijG1gTDqWCW40D8/VpXyDBcpMQSlu0mS7H/NPB7fxf44m8CWL7niGN8r/8H6CTNTaqETjTBcdIB7LRWGS82+HmJvmYZSJnlU83y7Yu6jHsasD725A5+4aNX8JGvbmt9xrXUT1EFb793C1f3p3ih4NV6OA2UrYQGno3rhzPJ0tLkFUQxwjhhaJarB5qOZDGWNdHHLTXLw4695OKx19KyiIqz3ZHP91lOZRg/8q2vFv9dYJZlg1+SNDtrVGCtSxZ/ASz/EIcYCKZ3BcwyUO/NS8yOarH85hbhJJn8qYZZ7qszy594ehevv7yup1nuuVI6pF0sFxYli8WyeI/uP9fXOjbBsYRLT1nceFtWsuNYcMK0WI4DhDPx7Okyy8N8sZy+J0GULDY+pprlHnylz1lq7BoJFg/jbVmM6jJhxCw3FculzDJHhlGb4Neywa+CWda1jit649bNmarwHEsunljM8nhbyCoKDk2CWRbnRfdeMMvp/Dkf11qgyvOxTXyz+WW8zngag44NE7EIoQqmahHaVCynf9qWiTu9GbxIjAFxkMowOjY8x4JrpMSSwSyW09/H3hUA4ru6lpntxD7/cfxY8It4ZLJsX1mKJIEXj0WxvMQsp8Vy3E6G4TnWqc/y7Yy6jHsnHWjJv/BQkeUCxOR182iGyxu85j7C19+3BQD4ZIFdPpwG7PQ+AhWrNA6Rw0RjM1SYft8aZpMK7dm8nFm2TUO7+z/vEEHYHfnatnFALsp2NOf7LPvHgDvA2+9PY0BTzbLQhmaTiRjs9c5rmAuPsf0DHCRp2pe31ppZBgDXtiplGKTzVb1PF9Y6uHOzq6Vb5jDLm31XyWd5Mg/xuecP8I33n1U+HyDb1gf0NM9Adg2pMCkyy+tdp7XWkwqpsoKrLSvp2SbcMGNGyfNbt1EuvzuU721Y2NonZllRhtEv+AnTljfGt1bS4AdkkexVkO4rrplplmsb/PjWcbropnOZdB8JIziWocwKVtl97YzFfSoLE1KFa2UyjJCzM3d8TfwZLs7Fm71MhrGwq0BFJRKRSNeArhnAMwK4RiASX1PGF8FMLcEvWiyWAeDVnUxWmYQ+DENIDbuOBQdpsZzw5CKSWd9/Wv7VQo/PtpBzdGNm8R36sJIQh3GuWB6XFMutmGWz9rl/OeG0WC5BXcY9TTqP3hCD4IGGDOPG4QxxAmVm+eGLaxh2bHyyoFsmGYYKqBD7ztddBJAxy9lA38Y6Lh2YS1aMIz/EoGNrNxuR1pqs+8Ioxv4kqGUjm0BbtzsjX8ENo9DgF4vrR5o72qYMWgROUGLd8XgGOxyLBj8rlWG0bPADmpjlKP0ZdTb1Lfds4lPP7inbK1IRuVHjarLVc5SY5U89s48gSvCN959ROhdC/ly4nuhF0GT66guiOz1fLF/ZHuH+c33t94FQZz8WxPqRtIBYOHdyxXKcFsu6k6QolinuelH+BUCwfbLBb6b0/pCfMB1fFsuj7VyxrGsdl0ZeN8ow8m4YxCyXyDBi8XNSEtUUSmKZwFMfAv73N7KdHAi0JU9OQqNZKOcAFUi7r2BZhrFVMWeqIj8usRLsjqhYXmSWhQxDjBULVnn5n2PolvuxWOh4CLDWceDJYnmiqFlOx62cXOQhJyW+vHUg9DH0bJimgY5jyqK8x5VhpIQN9p7Jzt3N3jVsP5F+D6YMI31mD+MuEtMGTAeYprVH2uDnJTPtnVNAjKmnDX63MerM1WlL8NHrqc+uYvQuABl5e1nRLsoyU93ylUKxPJ0ryzAeuWMN953r4we+/h4A2aRFbHClp2zUzCz3amQYIz+UKV46WOvmHCKQpbm1YZYdy8RGz8FunlnmyDDcQdbgF2XPAXX4RnGCYz+U2mNVUIPfZCx0j2N4QjNIMoyWXt+uXaNZJhmGBpv6lns2cfPIX5ILNYHSCtdqJDqbfReH06C0ebQMf/LULmzTwNtetal0LvLz8sWypgyjb4VYwxj3nxOLnaIMo61eGchZWpYUXGE+5lcDHcdEN8rZT6X2cdoyjI6NeRTDD6NFZpnOfbwjWThVNwzbMuHZZjb2jDJmmZp3dYtlz7aw1rEbU/wWfJarrOOe+zjw03cI72qk72JZsRzMgGf+o/DzNQ3g1qOCORzdVDp3K93No3M7ngXawVBlDgY7I187QbUIN9fgNwui5gW7LJYX70u+wY/GOccuFMuMHbpeLO6hhwB9L9MSI5ylYUUKDX6F87zHSmWc5x6CEc3kmN91Lbgps9xnF8s5ZjmdG/p5ZnlHuGp4XM1yutAbJV0hY3F6QBIDhin+v91FJ5602vHoOKcNfrc1dmuKZWpqIXZL1cYKAK6Rx7IiswwI3fKVnTGezfktH06CWjauDO987QX8h//xW3FhTUhBJLMc5qJay8BgljtlzPJ8Aoy2hdNG1bEZoMKTdKSZv2e7gfpM38XuWMENI5gAbi/HLOeK5XS1fKThf50HfdfpSAzoU3QyZjmJalMUORBsVvmq3s8zMYp43eV1AMBj19UiuY9mgWjEq1lMUfF6yFyk/ulTO3jT3RuSWVNFqQwjSURTERN/Y/or+LfuT+LOzZ5IZUzP/XAaYPvYb+2EAdQ3iYWawQ4Ez7bQjXLMcmofpy3DcDP2d5IrlqV2sc2nHgAAIABJREFUMdUrT+019AxfWSrQ93Je7Mc5zXJICX761+Lc0GuWYaQRxY5lVlvH7Twh3t8j0dwlFq5igf3krdx786XfAn75e7Ae7YnFCW3lU+OgAnquJa/L8SzU7hspa8raGc1XViznmWXaiawFFcvR4n3Z6IksgTCKq5llBkPfS5/9jhHCtU14Rto0OJ8gihP+jlO0zCzfiVs4wBrQOwMjmssxv2Nb8nN6qjKM+UjKJXr5XIKUWe5wZRjpQm+ErtiVoWASpw8YBuD20Ulm7Rv8Tpnl2xd7NVZkxQdDxw3jWhp5e8e6erH8F994B3quhXf/7peRJKIp5mgWahdklOxEWzXEPFQOALSVVNOwQsXwwkvwkX8MvOe7MJ3X2NIxQE1vFAMtnUtaNpZs9ARjyXbDCKZCx2Uu+iwD2WqZzlH33ri2KRoaR2LQmiZuyiyL7fzWKX52tV7Mb8Es37MlPDmf31fbKj6aBhh2nFproyW3g7rjzQJ88YVDfON9ehIMoCDDoOf2T/8P4Oe/iX2MO6OruGzs4M7NLta7tiz0r6zICQPIaZZL7uc8bBdo0XEs9JORiFkHZDCJrrRj0Mn8XyfzSDKckmFKJRg7nVehB/Xo9J6bS/lcoQwD4AWTTOdxNsb5FZplqWUW7wjJMP7wi9fxF/7Xj+LGYVrQpQmAbjQV503jjIYMq+facnFy7LcolkvsvlbJLHt21uA3nofNDHgFs5xfWM9LNctgOWLQrkrXDOBYppRhJKnemT1Gyga/7PMvxjdwFecA24MVz+U96bqZZplfLOdqkVS33Pcscc/9Y+BIvFfKzLIsltN6xU09l90+uomaTKqIUzeM2xxCf1X+4ucfDNdSD0gAgKv7U2z1XS2G9dJ6Fz/25x/Chx7fxnu/dEOyVCqBJHkUG2KowK08N1aC32LnNQDg4Dng4DlM5qthlul7E8vT1rJorWPjaBrymOU4ZXWd/pJmGRADgB9Gsiha0yyWARGxO0plGFN4whdVFsvtg0kqNcuBvmZ5q++i71p4bk+xWJ6FcjFUeWyFFL9PXtlDnEC7uQ+oYJb3nxbNMkx2eTPexwBTXN7oYL3r5Irl1ThhADmv3rIGvzhuvVU6SMZINu4SfzERzLJ23LVHUb4hpkGEzb64xnLSTIvl7c496BnquycLKZ8kVwiniGdi0amzW0I4O2guloUnd1rYkia2uLCV8gzxDNC7+OzuGHGSJbwSg2wmc3EPw3bMcibDCDHQDIYqsoEUJnR22N4JA1gcl0azUBI6lTguL5alM8o0KDDLOWY1aC6WvTBjlm3TWCqW2fKsEhnG2eA6no7OIbFEsUxzhWebUobRSxRlGACwlxbLbtpMu/OE/Cc3Zr5TqURoO1kX4woFk9Cf7gBdtGWWTdw5vwL8x/8NmB5oH+fFwGmxXMAsiDCeR5VMZX6CeMOd68ua5XAumjBq9KTXFD2Wi/ihb3oVHrljDe/+3S/j2bQg0WUvqSGGZBiZG0aVz7JCg1++WJ4dAZGPaD5txSzTyptY270VmeGvdR0czQJEMSO4gDqonW6pZtlLIzx1YsiLODtwMR2nzDK8zGcZaO2IcRLWcYDQNd611cPze6qa5aBR302F1UKT3xPvA3723qWC5PGb4rq94c51pfPII3/v5MIhCgAk7Ou/Hh/ANmLcNTQWiuWntkewTXGt2kI2+FVoltv6LK9jjLh/EbA7wIxkGPpx14AYcybzUC6AZAF2eBVwetizL8BBtMiYMdAjNi0KxYS/fjcAwJoKfWh7GYZ49o5m5ec1m0eLUdfAcigJ/VtarFGozM0jUUjJ5ztloJ0kFEy+lGFoMMuenbMKDWp7A+pA4xvhaNocJqSCfC/F2I8Wi/o/+ofAB969+At5GUZu3qV392ASLLph5Itqhgyjk9omeghgmYYsYqnoZo+RRRlGHGHo38DzyXnM4cCOMxmGYRjoWylxpSrDAHLMcrpwTCUYYWLCq5JhTPaAX/v+3G4MFcsbqWaZmOW+/LMLhhuGPwL+7F+V1kSebeE14WPAB/4hy5nkpcRpsZyDH0Z4z8eeAVDNVNLW49Cz8dDF4aIMY/8Z4D3fCfyb7wOufKjyc4THsppt3MI5WCb+8V95A/bGc/xPv/l5APrMsm2Z6DimZIEXDPXLIK3jmjXLCzKMlAW154ctZRhZUAcgZBimAWU3kCKGHTvVtzGY5XyxXKpZNjELohUVyx5mE3Gtp4mbWselxfIKZBhVDX5Zsax3r0SxrMosNxfL1EuwEExy/QuiSzvVfxIOpwE829QKIyHYlimLCvlOUPHGYffiCMNIFJcXO+FCsfz0zhh3n+m12sYkyAa/3P387HP7+JOndtr7LNsm1owJIm8N6G7BTBmgNnHXgGgymwWxlLr4UobxPLB+J6ZIx0hmeASh56bF8ngbQAJcfD0AwJgI54G2MoyRH+KXPnoFb3j3+6WFqESSYHP0VTHG0fNhd0uY5YIMI7VxvHkkyIhdWSyLY7gI4NiG2rNXQM+xZGLi8YyhBa6AsPvKxnZqePz/2XvzOMmyskz4ufuNG0tGrpW1V/W+0gvdNLRAo6DsiIqOwueIiggzLoMMis6M+jnjb8SND0cYAUdlGxFEpmX/AGXrBpqlu2l6qe7qpdaszMqMzNhuxN3nj/ece869cWPLyoYW6/396heVkZE37nKW5zzneZ+XW+uda1i6Ci+gBFA/itOdCADA0c8AD31a/JwkQGtF/CwBxnoqw/CzvtIyKJugbRkBS/BTAgZi6RkoUzPLOes4vwstCbGRVOHBgI4gI40p62wuTnqT7WKli0pFMMsWkyStHwFUA49hN8xhMowz99D9PXYb/dxZRazoaKJMen9emIQxy4lZhoP+eDnWg58EPvZrGXabh21oInnY3j6p8Z2I82CZRccL8fy3fBFv+uQDeMbFC3j+1bsLP8e3My9cqpCPYy8gi6zOGvD2ZwKr99IHm6cK/z5JEpzaRkGSfFy9bwb/4TkX48FVamgzpe1vgZVNfdA6rmgASBKJWZ5ShsEGd91vpb/fTogEP6ZZ7nqYK5vbLiktH7fVC1IZxkj2iW+tGo6kWRYyDMvQ0A93ilm24PXoXvuqRSDe5DKMNnD33wGd7RXGGWVXtd2iBTwOzDk43nCnso9r9cbLMLgOsSGD5S67fjfrP77Z9TNuFtsNrpNO5UN8Qp5EBuM2oIFNerFLYJktsI833FTffa5haCoUxAhC0Q5/5x/vxcvf+VXcdWLrnACixZjl0KwBpVko58gsc7DMJVR8AeTJMoyZfeiBga8JyxLzcPjWM3fCYGDZYMzyuUhSuC739z9+PwCS1GXi2G34LydehcuVx0T7qO0ZHC9TsCzJMKIYq0zisTkAlkPy+OdAaxsSLHJGiJAkCbOO265mOSvD4M9xJ90w/ChO82gyi113QzCfAN2foAtU99DPkh54VipQw8czY8A6bhKwLJhlALAVZvkX9gAk22eW2bP0YKIX6zATPyPZc1T6HhXJROeZHnf2oGCW+dx+9kFg/kK0EgfmMGaZ9zMpKdazFwAohZrlxCizokETJMMDhQsT21BRTrpINFMc/wka58Eyi9uPruORs1388Y9fg/f8/E1DAQ5PlLl4qYJZx0ztwbDyLeq4L/sr+mC3GMA0ewFcPzonGQaP1z7rItzAKqZtl1kGaDByc2C5kP2NQwAM/IwAy4VuGGzb0Axbwz2cJwghwxDM8rkWdACIsQ7jJC3HPZpZZp1/qBuGCm8HmeXEo0Em1Fib4Zrlz/8B8OFXA3e9d1vHHqlZTn2Wtw+We0GUbllPEpMwy7ahoWRoAkwAw8GyG5xTv+DBdy1SO8UoC2TSeOw24PY/z74nW3x5LcyUDLS9EHGc4PiGiwM7BJZNXcWfGX+OA194ffoer2w5lb1VQdiGiprSRaATWFY9Ypa3q1XkjCbX/s6mMgwpwW9mH1wOlqf0FC5zZrmdBct6jxwCzpVZBpCO3/kCSVwScFBZFVKL2h4CaNKCOi/DsJgzzRpjllMZBgPFphIQKBnW9iaIkqmjF0ToB1Sldfua5WyCH3+OO+mG4QVxanmWJvglCfVxd13scLYZqzx3mF6lwiT1Ek8GziX4hdMl+Ok+3WsOlh2NeeonMQxEsKbWLPNXAq0eDDQDlfk4y8yyvDM7gbMQl+gsXJoyy46pwwtjJGcfABYugZuYw2UY/F5wWUtnFb5N+R6+DJYNkmHEhoPyJJplvsArkFlwiResGXLYeALHebDM4vaHN2AbKl58TTGjzINvPV68qyI0Ud1AdNpdV1FjGgKWuffsToBlTVXw5y+/Hm98/mU4PL/9JCHH1NCZpILfhIOMpiowdTUHltmAE7TPSYZhGxosXc0k+O3E9h8HaTxhc+TWkswsKwq5BBT4LDd7AUwmc9luzFdM2AqdU5yCZSbDOH0nvcrbkFNE3g0jihO89Z+PotkLzskNAwD2z9G5TpPk1+oFEyVDUslrCaQMActbrr8zYJmBuUEZRo7du+t9wGf/37TYBJ3bmvi/10atZCBJyCmk7YU7olcGCAAeVs6gvHFP+l7TDfDia/bgg695Gt7w3Mu2fWxbU1BFD75RA0p1aAwsb1f7y5nCtTZnllmCXxCRU0F3DZjZL8DyJKyaFI6lU8JyCpavAgAY/fXB845j0lNOCMhvPDSHV958CH/5MzcAKNAts3FuCQ3RPmp76VXWLacJflyGQQCU35NGgQyDrOO2D5ZpERGmu3LnZB1XyCzvYIJfFKe7nSlY9jvi+nm/4tKrFCyLOapq61AUqrKbSfALprOO032uG6f7VlLEMy/Bm5xQSGUYOWY5MbHpKdCVGDOmaJu2Oi1YZue1cDHdH78rfKE3H0WycAlc2DCiITKMlFlm80lnFUGJio+kPstAqlmOjTIcpT9ejpVedwFY1mkhHlu18df3XY7zYJnF7Q+v48ZDc2M1mnvqJeybLeHmCxdSRmSr54uBuboMVBaHguU1lsCxVNu+ZlmO5Rkbr7nlwnOSIVT45AJZs1zQNORyomNW5CVDQ5/LMKJAJENE7XOSYQBUfZBPUmttb0cSS/jEwcHyxJplANDMLLPMreMY+DuXqlYLFQslZp8V6azN2DME0A/cDMweFoPblGHlwPKDq2380aeO4DP3rZ6TGwaAlDGdVLccRjG6fjRRAZfZspF1oeEgOQ+We8HOyDAY4E7BcjxEN+q1aDLnzAyQJsnQ7zvpAvueU/S3O8UsW7pKE7dL4xDf8ZopGbjx0BwuXa5u+9gV9KAqCTy9ApRmoXt07ttO8DNzzHJZSvDbfIw+NHsYbsI1y9Mzy12PM8sKgdXSLEwGljNuGCt3kp7ygY9NdOyKpeN3X3IlLmbe2NzvPQ3WJhaSTUmGwQgYWbdc4Iax2uqn1pX5BD8TIcxzdMMoMUu9NgOhO+WzvN4hL+zCvvbI54A73zfV8S1dgxdEKVhOZRhy/26zHRve12Y5WBbJe6pKCbVbeeu4sE+FNTRzoiRdtU+LQwP0TGxVktzBn1yznMowskxrHwbW+zRH1C0xHjuqvBMxQX4KP/7ipfS6+RjKlo79yhqUJEY0dxFcWDCGMsusn3HypbOGMAXLks8yk2FEehllTAKWGTgfwizX4CIyz4PlfxFxtu3hwdUObp7AYmqubOJLv/EDuGrvjLCmcRmzXJoFdItKQcqTpBR8ENwJ6cBOBZWfpY7Z6gfQVaWY/eWd3CiP7bxpkg2QYeBq6G67Elp6jBLZvCVJgrNtb0cWHpzR5M9n5ADABxW2HQXNyGyx8smk2QswM0aDOy4Wq2bqNRvrIgsZP/tx4BUfAOr7sxq+KSItSpIkwKNfhMsSCRtd/5zcMABg3+x0YJmDjnGaZYC27TcLNcv5MvD+1MV6imKuTC4k6QJqmGaZt3OmFwSQk2G0B8Dy/jkH+PpfUZb/OYShqXAUD3rYBfqtcy6IIwevYNZnMgzdP7cEP01V4JjaoAwjjIHGI/ShuQvgJuzZTcssM7lB3D4DOPPUP8tLsLyCyoMcbLFCKJOGrqlwTG1QhsHaxEKyUcAsF4Bldm2mpuJMSzB+qSafgWID3A1j+8yyY2pwgyjta9sFy1bOZ3m97Q/PG/nq24HPv2mq4w8wy3YBWOZ6dA7sZg/Ra64wCY0VkhsG1yzrNo2jE+jhFS6FSXwgSeAoYqwvKf4UzDKXXwxqltcYjpwxRI5HSR1MkB8ZvG0sMLDceBRlS0cd1O7i0jzcxIIZDQPLrH22T9PuWPcsImcJAKsMmlrH0TwUGQ5sJYCujEk+TGUYg4y2ZVDycGg9sZP7gPNgGQDw5UeoE9584QTFC5KEVspBP52IN12fJsUqYxDKS2kFnXzwSX5uBybxc4o4TsFF2dJSS6HNro/ZslnMhvLO7sxRxxqRvFUyNCHD6Av/xBrcc5JhACwZrx+g7YXwwp2xLOJasU22vT+RZpkzy6qeY5Y1eEGMVm/7xWJ4LFQslJgMA7p0nQeeStrl6m4xcUwZlqER4/LAx4B3vQj2o5Rl3nD9c07wsw0Nu2rWxDIMvlMwEbPsmEKzHEeFzHKSJNhyg4xP8nbjZ24+iD/9iWvEG6kMI+cLygEQB3xAjllupe3h2zJYvv+jwL3/cE7naGhKugOB1ulUL78TMhQnZhUkNWKWtciDBX84s/w/nw585S9GHrNs6ankgJ+jF8hg+TA68TY1y8w9IW6dEWNyZQm2x90wpL7NF5rybsCEUZN2uNJgAHk22gAYA5+eg0ww5IuS6Go6nB6Yc2jRHgVC05zXLG+zKEkUJ9hgsomd8lkeWZCks5q1NJsgTE1FECUpqE9lGF2ZWebP7RTNt9xOM1fVdKFiYq3Vz45nHCwb5cmcVmT/3yiALYFlexpmOQXJWc2yZpaw5tLDrxnivpbUAo37qODjUo0lO7obKJsaqgp9T2xV4cKGPkmCn7sBJDHiMjHLfkGCX6zTa2lckZOUWR7sx7auoYYuAn37O1/fqTgPlkHJfVVbT8v0joy1+4Bb/x1w5OPpIN/sMWa5ukyfKS9ktYpSbLlU0ne7q/odi2/+DfD/PQkIesK4HATmhwIM3tlLswCSkb6ImQFVGthnlG6xDGPrBLBy90SnTp7IYcpM7YRmuTqgWZ5GhmFkNcu6mjLL51KQBCD/aBseeokJQy9oM5VdNLhN4TrBw9RUhGEI/NN/AwDEXVo8bTJmWVW2zx4CwP5ZZ3Kw3OPM8qSaZR/rHQ+fvfMBIGHMhrRAbXtUYGYnwOLB+TJe9KQ94o0ou0WeRgqWZWZ5jZ4R+/2Mw8FyC/Nlk4BAr7EjNoACLJ9K/d93glnm1k6uWqGFMoBZtIs1y3EErN4DNB4eecyqpWOt3Wf/N2BoCm3tNx4B7DrgzKETc2Z5ejcMAEjaK0CV3fvyIko+tW9DLWCWc7aDkwTf4coEY3zr4Tq1D80idhsQmuU4Fv+XZBg8LluuotHxMwCJZBiqGIO3ySwDQiu+bWbZUHFB8Ahwz98D4GB5CPnTWRsoFjLJ8QEahyz4KOtsbMswy2zHpr1CMhdOJIRZYL57poSVZj/rhhH0aew2JwTL/S3EYG097MNWt6lZ5qw394Nm98WyHaz16PhVKalves2yT9ISm0kavBYcU0cV1H8io0oyjKhXPF/wRWnYB84eAQAkZcYsyz7LjGEOGVgeakUnnxc/bi5sQ0NN6cI3zoPlfxFx+8MbeOoF85Nld/NJzd1Is+Q3uwEBFonFgLuRTfRh0WBbw+dqdXbO8egXacDuN1G2hHXcZneEzjNllvngP3ygycowxMBeg1tcwe+zvwf8zYsnYpFqto52L9hRsMy3/yfTLLPr5ttSqpGp4GcZGpKEJpFzBStlU0NV9eHCKk62q+6mwai3OfWxTV3FC5XbgbNkgxWxtr3R9eGFESxdm0xvnSSFhXgOTOG1LJjlCWQYJQNe38UL3vJF/MHff0n8QppMuT3bTsgwBmLYVjhfFGaY5VWgfoA05r7QLDd7gUjucxuTFTj56tuBz/9R4a9MJYbFGS+JWZ6q/b3vx6kf5qIU0XV1lQpbKAN1pVucBMvvyRg2sWzp6VZ+ydSEHVnjEWDuAgBAJ+HM8nQyDM4sK51VicBYhBNsQFOV7NjL9f7bActFzDJrA9Vgnf5v1wZ90eVnnRYlEffy0uUq2l4IvyP6tEjw235REq4V56W0x5aRHhK2ruHlyieRfIycV9Y7fvHuXpJQ+58SLJuaimuUo3jqN16Pu6xXY+mTr6Zf8P6tlwSzvPkYMLNfAstZQLa7buNMs5/KyohZ7tHnTWd824pCwO8gcZhEM/RgQ2aWg+l9lgG2a0Cki1kqw0/oWVR0IWmwlG0wy5rJrEUVoN9CxdJRYcxyZNTQS2wow4guWe60che9soV+EEk+yyzBL9Ro/LLHVRgcwSxbuoIaXHjnmeUnfpxouDjecCeTYADigbsN6JqKqqVjy+0zGYYYmJHEAxpKYOcy9M85Tn+TXlnGrOuT/yYxy0MABp8A80xJQZRMWYZBA3sCBTPKEM1y8yRtW973f8aeOq+2xxmSpR11w6AqTSNBIh9o2HYUND1bwY8xDWvtcwfLiqKgboRUva9o25u3uW3oli01xuv0DyFevAIAkLDJnDPLEzthnPomFeJ59POZt/fPOVhp9TMFDDKRJMDaAwCEBdckzPKTerfjm9YvQultYF5hoKG6JwOW+aJnJxL8BoLr0/Nb4XxC2yxglq1qRrMMSMl9boP6VjgCYHod4LP/Ffjn3wdW7xv4dYbd2S5YPv5V4OTXB48dUrvoZMByp9ivmEtTxlTdk0sYO6YmqsLJYJkzy1MXJdGhIobmrgEV1j8qi7CiLhw1d14cLA/xxR8VfBySI+kx15/YJT2tVRusuJmp7EfzCR8z5stmmoPRbor2bCIkJl9O8JtyN6mUMsvUViaRPBWFbWioKi7QbyKJQpzteFgoGoP7W6xdT1ey3DI0vF7/IA5t3oYN1KCvMYcXd4MWnfMXCRC+8TCweJkAy7lF2u6aTf7VTA9u8Qp+eomey7hdC7b40/g4G3mwZDcMJccs3/W/gfWHio+VActe+rNdcuCBnkVZTh5UQmwlLE9lxFwrjunTLqeqsvGmBcfSUmY5NCvojvIul4mq0xwsc2Y5HmCWIwaeh1rR8RihWS6pISwlhKedB8tP+FioWHj7Tz8Zz71yebI/4B2/R0B4xjEQtdeJWaxIYBkodMQYydx+p8JtiKxzv5tq2bwwJrA8LPlwCmbZNjRR7pqBisBZRg1DZBhcd/uNd9HrY18C7v9I4bGrNm1/7iSzbBsaTF1FFCfjdxg4WOYrbdUY0CwD5EiwE9vgM3qAfmIW+3mmYHl6R4x5fwWH1FX0r38VXQt7ng3XhxfEk28vsiIVaZticWDOQZIAp/KFG3gc/SzwtpuAx24TzPIE9+tpxiMoKx7+5BYT82CAdfHSzOJ0kzHLO6FZHogiZjkKxATUeFQAme4aTThWDfDINpGDzANzDgHkdEt+BLt874fpc6pOgDkXmaSd1kkBlie9fr9Li1V50eU2gKAHM6DrbMNJwfIMOtlEOR58h2MMWJb1so6pwTZUhH6fEu0YWG5H7DNTyjDKpo55tKAksURg0KS/rOXuMU8Qc9cLJ/NRUbMHZRhJv4k4YePH+hHGLEtFhIDsIisnw1iq2Wn12I4Elg1elITf1ySa/r6wBQovqS0vWKYJ21BRQQ8KErRbDfjD8ka4Xj+Jsh7TY8JiyaqPWpfjI8kzoLRW6O/dDZp7qsvUTjeO0rGXLie5C1DALNMY/dgG3SuSYTBm2XDG7+jwxR+X84RehvHNuGEkCfCPvwx842+KjyUnH4Z+qll2nAp8Bpb1RPQbEyG6sBEo5nQyDIAck/rNlFmOoSLSHFHop2juDlxRRY8xyyrrP76c4MdIIl9lMoxhCYPptQ63jivL+RBP8PhXD5ZLpobnXrk8eUU9iVkGGHPVYQNuNQ+WB3XLI5nb71RwVhkA/G66HdfxQmyOSorizBfTLY4Cy9kEP5pse+W9mFG6gwl+SUJWQGYVOPEVGmze+2PAP/5KIXtSsw34UYyTmy4MTZkMkPrdsQwVlwCM1ekGLg1KGtvGzGuWpevbCbBcVQP0YO44s8z9m32zntHvNbo+/Cie3DaOLx5ySVJ7Z6lPrTSHgJCNo/T6zXcLzfIEMgy7Rcztnugk5hUGWBcvJTDJBmZeDnuiXZy4eBdoaBT5LPPJbPYQTcDddfqcu8GY5QrgtaEoor3unytl5TOjJsRvvpuy3G/5deCBjw4wwHqcZZandsPg7UduR3/zIuAjvwojaCNKFLSTUkaGYRT1E54MNUaGIZcwLpnknV7pnaIdOQaWvVgloOB3aez56xcAj35h7KU4loYZhYEgPlYxhmxJzUln2meoIAJALgBTRBGzjH4TxxP6LmweI6DMmeUULLPX0lzGDQMAdtWs1CnJbYk2aSoBLbJkwDWlbrlkUN9abfXhmFrxYmeCsA0t3drf2qA5bqFaMKfJTjDR5FIMU1dhw0c3NrCh7yJA3D5Nfam8QMC1fQZYI/kYMcvMESm3O7NnhsagYxtdaKpCREjoMc2yM172x8EyzzsI+7Ahnrmj+GK+iAIizYb1Y5lZDvvpzyWJWZbBvqWE8BMdnuZMJ8MAaHHep2q5VfQQ6GXEgGTHWDAX+p2072HjYcBwYDi00AuiBJ5CQDtgfv9cs2yNlWEML0qS5kOcB8vfg8EfOGOW644Bw2WgWNYsA4WOGDuVoX9OcepO8X9fML1nmuTzOdTWjg94JQ6WR5e87uWs47qlZdTgDsowvDZNGje8kljaj/wq6b17jaz+kwVnHx8+28VixZpMV/uhVwEf+oWRH+HbkmOZZd8Vq2yAuWHI1nGiW51rgh8AlFUfLuxippfvZsiOGFEI3PpLqcRhWNhsOzFQTMAsQ2UTd7MXoOuFkzthcEZQaPq7AAAgAElEQVQut5XNM+R50YKB4ODkvlvR72xCUYSucmRsUPJYtXMM80oLCRTamgVS0Ls1jWb5a+8E/uQy4N7xEiAAxcwyn8x2M9eMxiNiZ6mylMowANEm9s856TgCYHh/WrsfOHkHcP2/BZ76WsBZAD7xG5nJ14ho0o+hAa3T2HJ92IY6+YKH70x4TZpI44iY0ftuhd45hRbK8MJEgOVhzPKEMgxuB6apCivco6HeY/ZtbMIOohi+atPitHUKOHYbcOz2sZdSNnXU2NZzCoQZs7xLzbG6XhPYex39PKUUo2YbaPWCbEl3r4WHEmYVh4RAi27RGJHKMLh0aHfGDQMAdlXtdPztZzTLId3v0Bc7WlPqluUEv+3qlQHBLANAe5PaeKEbhuwEM4Vu2WJguRPr2DIYSN06QX3bmacxr7tGyfaKRkU4hmiWl2cIHB5vuIJsCHvCOm6cxKc3CJZNSYZR1UIx/3DN7yRgOfJSLFEpV+AlhnifhZkECKDD18pTMMvsOHZNJPgpPXhaGVGcjJdh2HUaX5AAlaVUSx9EMR7YoDnu6CbpqgOmWTbGMssjfJYjuq6uch4sf+8Ff+BMH1l3TNh9DpZzzHLOaznVBH+3PZZP30mDNwD4nXTgPMm2y8cn+DGwPCKDf3nGxnrHo/KtXgswq+jpdWKW8zIMzkDsuhq4+sdJf/oT76b3Tn1j4NicfXx4rYPFvMfy5mOFABvNk8BjXyQWcUhUGYiZiFmWwfKAG8bOMsuO4pMMowi8mg4BApkRbDwM3Pke4OinRx6Xg2VfMQGzAjWkwT5JaEKd3D+UM8snM2/zrVkulxmI1mliQsIeDq18AlVLH5/4Ggt7MafzKBbQgm/OigUq65dcs1yf5P531miS+uArgdv/x2jtMFBs38X/z8Hy5qOiXZezYJm3iQNzTjbDf1h/+sbf0CLymp+i47zwj4FTXwc++mvpzovCxqUtew/QOsU8vqdoe3L7aZ+hf3EIhH2o938ELZTJrcJwECkG6kqn2A2Dg4t4nGaZ+rBjUBKpbWiY9Vj7mb8QAE3QgWrTJM7H0lzhmaJwTA01hYEB7gzgEMifU6V7zK953430Ku+M9JvAP/1+1jYsF7WSjjhBaruJKIAa9vBwCpbBCggpxC57Oc1ydVcK1maiBn5D/1ssV/UULIddAssJFFjgzLIv5pcpmWUuu1jveOfkxmTrglnubo0CyxKzPAVYNnUVtuKjHepo2YyAap4gqYwzR/NsElN5+bkLCCgPAcvzZdqR6wex0NgHknUcB7jNU8X3c4BZ9mEhgKvQgqWiSWMFxwbDgK282xL66T2pVCoSsywtgJUQPgx4U4FlmVluQlMV1NUeeiqB5d4oZjlwaQGRkn670nsWRDFOVp+E94XPxsYMVcT0VToWX6gPjVHlrhlY7ijbr0D8nYrzYHnaSMEyY5ZLBio+Z5BYh7LrBEZzmuVeEMEL4+9+gt/pbwJ7n0z/D1w4KVimRj9bHifDGK9ZfvE1exAnwK13naZByK7BVSuooAfHyE2ycvXDl/wZ8Kt3AZc8lwazgoQjzsyd2uoNauU+/FpikfMR9AjQ8K3/gqilbNeYbhH0RLIDMFSzDOwMWLaTPiX4DQOvXMPHY4sxdGMcMmxWkcoHMcu6pClbafYmB8ucWc7JMGolHaamYr0zBHy2VoA91wNLV+JJZz8yGQvfPs3AuQKr+SjmlBZ65qxoky7t5my5Aaq2PtlWc+SR5vHSFwD//38G3nwlcMc7R3y+oIIfn8x2XUXVwRqPAB1pXMiBZV1VsHumlJV/FCXxtFdJx3/VjwFldo1X/ghwyxuBu94L3PEO9rfUF9etA0C/iX63hXppikW5rHlvn6HFJY/ARQdlcqtQFPSNGmbQyVqw8ehPKMNgOwh84WwbKhb8UzTJs2fphzGxV0FXAK8h/vVylC1hlwVeRtek7eSKIoE23l75WMgXe0kC3PrvgS/8IXD8y0O/h+9EtXoBvDDCx75GOzlnklkEeiX7/VZ1MMGvupsASpLgosYX8Fr9I7hQO4N6yYCiAKFL7SswZ2AiJJYv8kiKAEzttVzilnqJsMrcTtiGljLL/TYtXgrBsjwmTZHkZ+kaLARohzrcEgNuWyeEZpnPsye/BiyxMu5DEvxUVUnZZZOTGGGfqtGZZSHDePdLUgvNTKTM8lL6tyZCSnYFSeTS4Nhg2A7RQIJfD1A0zFRKhTIMIwnhp8zyJBX8ggFmGQBm1B56ioM4SUQJ+UIZRpfuSU3skHNm2Y9ibEYl/Kfw59FnCwWuWR4LljlbXtAGzJCBZZwHy997kcowCIjMOgZq4QZZy+hsclJVWv3nNMsi6ehxytA//pXxW3OtFZoYDz2dfva7qX5wcmZ5PFi+cLGCa/bX8Q93shW7VUNXrUBVEjhx7u9ksKwZbNtSA/ZcRwNiLmRdaya5LwqJNT/z7cGEEv7cZL32wHHPhVkulmHsBFg2Ew/uSLC8KzsxNY/T6xiwbKZg2SCwLA16Z9ve5Fv4HGQ3T2U05oqiYL5iDpdhtE6Rgf51r8DB/gO4xBjPGnIJBvY+GVrzGJaVTbj6nASWBbM88aI0Cohp+jfvBV7xIaqK+PE3DGeY+cJI0h2mAMhZAGr7KMmPA7wKK5rAJtGDcw4u210luY8swyiaEL/0ZgIAt/x69v1bfoMWGt/6AP3MtlXXzAMAAK27Ml3ba8lgeUVUtLv0BQCAjlpJrd4CtUTVAguZ5QkT/Fgf5tIAW9ewFJ4G5g4TEwvSSQZqiTHL7F5OyCzzQgwps8zs2yqKNGHzPjN3IREcHDzf8Q6RXDzCS54v7lr9AF96aB1vupXGqlbiwHc4ccLBekW0ET5GV5fB/eodZs+3ZJHcYqZkIOltAVYNoVaCyZnl8ByYZWlH71yYZUsHKqD7GLQ3oCpDKtJuU4Zh6ios+OglBiy7TNe79Ri1LZ7gB5CWefFy+v+QBD8A2M3Acrr4Tyv4OdSX+4xEKaq6y+8x/87QgwkfXaWMGErWXYVLGybSLPup3/OsY6YJfvKYY4DJMPRKdmEUBSRV3Mh5mQ8wy8zGUOmhqxCz7I6SYfB5LcMsMxlGmKT2styGz2fa5cllGIPfaTCCoJmcB8vfe8GBgdcCogAzjoklbCEu78p+rrwwwILwqmOPC1i+/S3AXz0XeNNBSoQpGpySBHjwE/T/Q8+gV7+TbomOBcupddx4zTIA/Oh1e3H/SgvdVgOwZ9BlWy12lPs7rret5O7hvhuAM/cMZKnLlkcZ27j1B+n5RN5gUQTeUU+NAMsloaMcGYErbOOAgQp+MsjcCc2yEfeHyzAAGtwyzDIDy2OS1kyWee0xZtmM3BRgxgkmt47jzyfoDlS1W6hYxWA5SVhBgT3AElnXHTCGb3mnwXcGLnkelDjEFcoxtPW6BJZZYRV3CteZyKeFrqoCFz+HtMFIhhYWQuSLrHEOfPirVQXmDgFnHxDevZIbBgD85gsux/te9dTM+QIQ/emf/zvw9mcCd7+fSmFf81OpNCENVSX/Zj6JMoZs1dxHp9Fdna7ttVfEPWyfEWD56b9Gp6mU4bGE3UC14cArXlT2JrWO48wyvVqGiuXotEgwAm39hlqJ+tsUYNnSVcwoOWZZtxFDRVlmlrlmvrYbmNlHi72Nh4FP/SchpxnBiHLA2eqFOLnZQw1EArThICwvZ7+/iFnm453fhRMRKFs0WYXXsgnVawFWDbFqwFCkcteV7YHl0g6BZUfxoCq0KI7dBubKZvGYuc0EP65Z7sOkdjKznwiQJM4yywAl9gJDi5IAAiynMowULDP2nycKygujD74S+PLbaDzTTNHfIw8mQniJgUCxUFankWF4WVAf9gHdQt0xhGZZam964tP35GUYZx8gaVbeLSrjhsGY5SRBFS46KBGzPDLBj8kweAXA8lKaFBlEMTp9DpZpHPATHUGiZUiWwhhhHaeyKpctTGiw8F2M82B52pA7VG8T9ZKBJWUTfmkp+7ny0sBKdevxsrMKPSpYsP8m4IqXUiJMvnzrxsPAXz4b+OjrKGN//00AFPJZNvMyjDHMsj1DW81jkiNefM0e6KqC1tYGYNfQAg1O3IoqjfYZGrzsXAXFfTcQCD1zT+ZtGQRkmGVupA4M/E363Ao00OlxbQNPVo7gYuX4yOsakGEMuGHsLLOsR73xMoyOVMVvQhmGybK6+9ABswIz7mH/rFgEFLpvFIVsCZRrdwsVM9UsP7TaxtPf9E84tdWjcwv7NDCzpLElfQI/3cYjlOB0mBZ7lhKgpc6IpFMGppqs+M9EIU8ygJiM26uDn40jmrTz7B4HrXaNtPdnvgV87r8TWDJKAizFEWxDE+2iSLN87DaqZvnhXyT27JY3FJ+3Ldgjrr08oxFYLnur02uWFy+je9thMgy7Duy/Ebj8JbjHuJo0ywB8xiwXJtZOKMOoWllmuaQBy/EaMHsYABDHCcI4QcgtDacAy4qiYFbvU7IjK6AARUFfKaEMua2uEGCyqtQOW6eAO99Lz/fFb6HPjGKW2aK93Q9wutnDnEbj4yUH96E0R88htY2zcpplsyLAWtDFskFj716H7vF82YQWtAF7BpFiUIKfElN72CazbGpqusA5lwQ/R/LVjd3NVOYwEJ01yaViCmZZTWAqEfqJSTsQ9f2UzAfQzo0MlpcYs6woLP+hgFlmTlfp+Mkr+PHdwdVvs/cl0PfI54Db3kLtza5nrsNMfHgw4CkWHGUaZtkX7SHyGFjmzDJ7HlK/0ZgMI9BzYJlXCN06lj2+LMOwapRzEPRQRg/tpIQoxnAZRhzTGGI4gkVn0hNDI7DcZs4vnFkO2PGMcBxYHs4so7+FHky40Xe5ovEEcR4sTxvyA3cbmC0b2KVswrUXs58rLw4yy7xQwk4n+N3zQZpMnvVG4IqXsPPMDfJHPkFA8fl/CLz2y8SMmhXAdzPMsqYqw+27+Kpdt0kDOIZZniubeNali4h6JMNogQYnJT/It89QB81PvntvoNdTWd2yzCxnwPLpu6izqzqweq94P0mYPkwlED1ke71qaXib+Rb8bPD+kdc16IZh5NwwCABoqpLZ+txWJAmUsEcyDG3IsSrL2Sp+zcnAspHQffASkmHYcR/7ZsUioNDXuShkxqDAEYMzy18/tomTmz18+eENAaqru9OdinltAt/YjaPEPi5ckr61pdbJxs+uSzKMKVxn5EkGEJOx7DCSfpbvrnDdaA4sW1XgOb8L/OTfAte+AnjKL4j3gcE+09sU4IdrlntbwIXPBp73JuDFf0aL26KwagPM8kmdQFrNX5suN6K9Qs+C69+bJ4nRA4B/8x58qvySVIbhqXaWoe1tCjA0JbPMwXJVC6AjStntgCXixjpjltuSZnmCYhyzah99zcmMKX21hDJkGcaK2HKu7aV+c/f7gYueI+75CJAnyzBWtvo44NA1v+ElN8KcZeycLMOQ3TCsqgDyfhczCT17Oxa7e2bQBuwaItWAiSBd3MKq0ZgzpWZZUZSUXT4XzXIpEf1U7W+R9r4oOquiDU2jWWbysD4MAvUz+7O7moZNC2xeoISHbhcu0vakmmVVzAW6Je4/nyvkOTPoUf8/8kmgVM8kEOoI4MOADxMlZQpmOeyLcSD0U2Z5rmwiLpCRaLGPoAgs86JHm3mwnGOWAXLEiLtoJg6TYTDQH3Qpp+LttxABwQkPs0wJ9oAEllX4UYw2l2GwHSYvjNCFDWNsUZLh5a7Rb6KD8vDCVU+gOA+Wpw0ZGPQamLE0LKCJtrGQ/VyFaZalgX1zGu/XSSNJgNv/nBKLLvh+AeLyYJl3tht/QUgIzDLgd9IJq+OFmHWM4VZskQdAITDK/nZoRCHgd3HJriqcuIPEnsFWzAanPFjurAoLNDlqu0n/mdMt24aabqllmeW7geUnkR8tZwsA0UmXr6Zr4CxFLvYmK9ilbKGEMW4IA5rlXAU/xizPlEbcy0kj8qEkMa69YDeee9Wu4s/kC5OkzPJoWQMHy30Glkvooe6YKes0lRuGwj6bc8RYqFrY6PiI4yQtff3tU01xrhKzPKdMkMSy8TBJEpy59O8aCXc8mM9qlidlVkMvyyzz+9kpYJb5ZMyTrFJmuU2Tt+GQpOOyFwAvfRvw7N+m3+dLHvNwG9T2NVP8rrdJ5/DU1wDXvWL4edsz1BalgihbSQWJM4/5eH1yZplLYqrLQtKzdYIYPf5Vhia2XxUbjtxH3vls4PNvYvdjOjcM7rleVVkfZWOT69F3xbqT1SzHwUTOAHW1BzeXYe+iBEdmlvk1AwSWe5skzbj25cKeraCQAo+aJMM4vdXDXgaWYc8IEC7LMLxhYNkVchw2ps5XTFhRB7BnEComJfiBAQrdSotOTBt8F3FqZtnvpgtcW8o5MYKtFIxmgnuM10lDP9ZhRgobtEDpw6Tz5ccAhFSoskzjgC6N/8OYZQbmDU0lUiNhpZvzYJn/bRyJ/7vrxcxyYqCvWCgVMctxULzIijwBYiMvZbjLlo73veYWdnyJWY4JlId6hTHR7HdDmWVZs8x2abvrMBGgGdtYafYQQEes6NTmVu6m3dhT3xSJjmaZ8plu/mXgMJ2TqamMWc5qlvtBDDexoZ8Ts9xERxH5EE/kOA+Wp43ABcAAkNvAktaGrsTYVHPlssuL1EgkQLnZZd6v02Spj4tHPw+cvZ8at6JIYDnXMP0OuUvIGeymA/hdWLqKRbWNW9S7R+s8udZLUcZ7VH7xT4D/eTPmHANV9ODrFWwl7NzyIK59RlRIysfuawbK+yqKgmUrRA1doVmOI9r63nMtsHxVllnmC4eDLKlxiBTjYOduAFQta2RM6IaxExIMfo+fcfkBXLZcK/4Mn5jbZ2hA5UC0N1qzzMFyLzEAswIbPiqGSNaZyg2juocA84AMw0IYJ2j2Apxgmvh7TjXF52p7EGoO/ERDfRxYjkJiVbh+l7FK6wmbGJx5oLuOkA3sk8swgixYLi8CUIplGDyRMwXLjN3z2gSAhi2O8lXcePQaZGsmM4+9zXQhMDI4EPPagN9FAB39WEVUXsZupTF5++tvUd9OmeUVxizvSz9iG2qGWS7JiXLNE6KPTliUpGppeLPxVlwbkOd7lWs/mTRhg+V36HaFsWBr4hlNIMWoKS5cxcm811fsQbDM9ZkzzO6tNAtc+nwGwpSRVf2qkhvGSrOP3Ra7BrsmAB5vJ2ZF7Bx4bSbP4WN1V/RVBqjnyiacpIvEriFSDFhKAJ0vUDQzK8GZIlImf1rN8uf/EPjLHwQAWEyjGiomKnEnlTlkorsOIBELrimYZTNllpkMY0Ys2lKwfO3LgSf/bPYPdbsQlKduGLx6HyAq+AESs8zmTP4ZuRoe/3/oQU8CeNDRh5kC+8zfAcULutAXfTb0UmYZAK7aP0/jp3Sf1CSAn+gIjVy5dF4pdet41go174YBpHkTm5GN+05Te1EsNnfznAq3ISz0DIdwwQ/9t3SBb2gqJfjlwDJnlseD5eGaZfSbcFXmtPMEj/NgedoIesJGptfAfExSizXkJjdmgi/rljddH1VLn7zYwyTBO/rFP0SvQ5nllpiweZhlIHChKApeYX4e7zLfhEPWCMAS+sLxYxxY3joGbD6GA/FJGEoEVy1jM+Jm+hMyywBNXgUDz28r78RfGG8WlkXrD9Fgt/taYNeVNBBwtoYPgouX0mA7JMlvd5MmbnMsWB7jhsES/HYiuS99jqYz/DN8odFeYcxuQtpPvzOS0eE+y1u+gphdz4wepDKhqdwwuD/ngAyDjrXe8VJN/H2nW4j55yrL6PgRmqigmowBy83jxAzxrVf2ejZm7dqZB9xGWup5chlGTrOsGXSsSWQYvC33W2IiLAoZ2MrB7bC4pjX0aOKaBCzzCbHfBAIXnmKjH8TwrTnMKm0Blk9+I7t4zAdPDq3tpme4eYzkJTJY1rV0QuuDEvwAUPuKfEn6M2FREtXDj2i34co+9UUu64hYO2wwsGyUKjTOdNdoxwiYCCxXld6Ad2sXJZQSNmEniZB/AcQsA+Tzrlu06NHtkSDP1FWUDA2bboAzrT6WDPZZq0bj8cs/QDtdgHi+SSIWVpIMI70mBohmHRM1dOFrVQRMs2wkbIzhCWfbYJZL2wXLjUdobIkCYrwBNIxdqKOTJtBlgu8EpMzyNDIMlkuRmOTUVC8Ay9/3K8DT/l32D3Wr8Hv2yJplDtyMktCM80UMH2v56xU/TK8lmVnuw0h89BMD/cRM7TfpOBJoLATL/QKwLC00cu1NjUiGEeqsnXDZzeajAJjndiaJMlfuGkj7ZSO0cN9KCwfnHSjcX5oTFr2GxCwPzjOGzjTLHvPlzzHLWjgCByTJyKIkBJYr58Hy92SEfTGwug2UmuS6cAy7s59LC5OIxrzl+qgP8zDebrTPUIYtn1w545lnlr2O2ArmIbFZyxp17uu04T7ECPsim1feViwKNlgcbJPeuA0HjdBCBDXrmOB3aRCoDgHLlsTISHFAWcUl2inhacyT+/YwsAwMatHMMiUxFRUtATC7ToyzgdET/Tg3DENToCo7xCzzczdGgOXaXhpoz9wjJBi72STdHy7FsJUAXmKg4YZpNaa67mOOgczJK/gxpr22V7AVLNLCJB0PJxo9VCwdvSBC++xxWlDqJlq9EFtJBZV4DFPGrZLmOLNMr6sRa9dMhpFaNE6aG5AHywBjWCeQYXgSs2yPAMtpyePcNboNSk7kOQBcZz4Vs9wCfBehVsKDq214eg0z6GKGLxY+9jrgM787/Diyfry6LNpyhlkWYNlTbJQ4WOZsV/MEk16xvjoGLFdDuk6HaYjLjKkOWKGDDaZzt0pVuudxCOwi15RJwHIlcak8txQuSijx0rxug47L9Zl7rgUufi5w02vEHwwBX3LUSjqOnu0gihPM6n16jqpG/y55rthpMCuUnBf2B8Gy1xGLDDam1ksGqnDR1yqIFAMGQujMvQa6ldWrTxFVQ0EV7vSaZV4zwG3AYODoFBYxo3Swt4hZ5iRR/SC9jtlpkMPkuRQwUbEMwSzrpdGkwZDnNesYsHSVmGUuq+HWcXKkzDIDfxc8Czj8TGDfUxhjq6TMcj/R0UtMWIk3+PdAMViOfEmG4WeYZQA0Bkn3SY0pkTDizLLXpn61dUKM77IUI1/uGkj90jcCG/ettHDF7poo851hltm5G4MWblyznHfD6AcRurCgFskreMQhACZFLZI09bbQ187LML43I3BpUtZMwN2Asv4gQmh4KMzJCJavpg759b9O35rKzmrS6KxSQhIflIeBZb9TzCwzdriu0ucvjx4c/l2RL1bY4zTL7Li71u8AALQTh1aiSjnLiMgey0VhSoyMFPWkjTm0BHN6+i4aTOcvJjcCYHB7zSjRs5PlCSfuIO1WawV2mwaekTKMKKT7MMAsi0FOURRUjQR1ewe6l3zuw0K3SGd29DPCNo4zWiOS/LTIh6cYaHR99BV6rlXVw4Kj4Ze1f0itsMafIwfLewbA8gKTyaysb2K94+EHLqMdl97GidT8vtUPsIkKnHDM5M+3H3ny1ZU/is/P/DAeDtnC1JkD3A1sdWkCm3ixIpeJ5VHZNYRZZoClNEvbprIbRr5/yVGU4BfHtJhx5hjz2J4OLKfMcgsIXKimg42uj7OhjZriiuvvbozespf7YFVa9M8IraglyTD6ikXbz0kidpf6TcEuc9ZrRDgBXSf36+WJdx4rdMBlGKWydE+ZxeAkhUmcpItWkgVDXViwOVhO7SrZDqA9A7ziA1mLPqM00g0DAGqWjtLprwBIUFfcQUcfHqkMpzMow2idQgooWPuoqX1oSoK+XkEASvDTYlmGwZjlBz5OmvExixMeL/Q/js9Zr0MlXxhqXKQVFNehMjD5sD+HOrqjmeVtJPgZMfVfDwZVHSzV6X7xBeqw0K3CdqcoCg7MOSTp4FIAXu6ahzUzyCwbDvAzHwFuejXbabCAyIPOmGU3MdNkxMzfAcVzY+hJCX5CsyzOP8ssK3GAWDVRqtbpDa9N4DeJCMgD2SS/fLlrIN3payY2jm24DCxzGQZbJLsb4nwLFiNcs5z3WfbCGC5sKMGIeYJfjzVDwDnfTvtNeHo1ddp5Isd5sDxtBD1qUKU5Al1nj2BF2421bu5hV3cRS3HPBwiMgRdK2GGwnNf7DtMsc7siOQxHgGWFXi/w7h/+XaE3uQyD/a66+lUAwGbkoBdEcLVqVrOcFm4Yolk2y4KRkWJO7UBFIia91W8To6zpNAE6C8Aqs49LB79SCqjS+OivkS/1HW8HAJyIF0eD5VA6Fg81K8MAgA9rb8RPdN43/DiTRgqWRzAqALknbBwl2zFFpcUaMNprOewjVExsdH30VbqequrhcjyK1xt/j4taX5nsHLmWnXvVSgubhYqFa5SjeOknbsJhZQW3XLKIkqFBaa+krF6rF6CZVGCFY7aVO6t0bRzgzF+Ij+57PTo++z5nHog8tFrUvqbyWS5ilouKFPDJWLdo4ks1yxOCZZlx6m9RslFpThSt2C6zHLgwSvQdR1saauhihm+19zZHL2y5xr26OzuW5Jhlzij1FBsaYhoP5OPypFpnfix403oEeC+coWfHmWpP4cxyAVjmO0aTFCZJutiKswvMLkqp20Q6Bo26z2NkGABws34/3h7+FzxNvQ8VuMN3F+Qt/34uwS9dZCC9n1XmE91XKwgUA5YSQolksFyjRcMnfoPcgiZYQADAvmQF80obsxiR/FvkNsL7Qnc9ZbQfCeZgKBF2WQXPOpVhcLA8uXWcGtE970MkG2Nmv/D3Hxba8J2At77ievz68y4TvzfsLIu6dDn17SgcPubqFjHLcYB+rMFNDJiJ9H2jmOUopHmM99nIG2SWdTMjm1NCDz/5tAtw02WHxDG5E8bhZ9LrVh4sFzPLfOF4+e4aK/PtZnNb5AS/XBiaiiBK0OLMMs9dCCL0lRKUUTiAP/cSA/zygiJJqNqoVjvPLEBx5BQAACAASURBVH9PRtAjBtOZA9xN4OwRrFqHsNEtGAye/joajNkW6Kbr77zHMmeWefCV4YBmuYhZrqSdZIaxiLu791OyXFGEXo5ZHgWWadDX+jT5NyILrh+ir1VyzDKfqIfJMCRGhkcUwAgYSOGVx7aOiYIGikL6ZL5tLzMFTNeaTgidVTrXL70ZiVHGXcmFYruz8LoKmF4tm+CHoIcLkhN4Gr41/DiTxqRg+aLn0Ou9HybQk+rqR9jHhR5CxcRm10/N6quKhyWd7nUJE05wnCGp7aHFhPSd9ZKBp2kPQEOES5STOLTg4Io9NTj9tTS5aqsXYDOpwPTHgOX2GZJuqEJLXbb0lPHAwsUAAIV5bJ8TWK4sUduIc4M4f8553ShnC4dFEVjmCxmuWZ5WhiEzy34XtlOFY2q4b1ODpYSYMUJWKaw7BiyfoYx/oySYZdXIjCuWLpjlHref8rvZMYB7m1d2jXXD4Nv6JgOvXI7BS+k2uh5qtk4JfjzmLmA7emOAYZLAjrrYjLOMZzexYHGwzOVJfBIvCqM0FiwfVAhEXqccRYm5VxQGZ0UbjxJgtmsSWJYcZNg4x8t1u2oZoaJTHkUkyTDsOt0HXq1zjOc9D54XUA+GFNy5453AW5+SbfdBT8hr3A3Aa6MPE+uga9WL+m1njdhEm93fKZhlzv6mPssAFQq65qdG/51uDc3RuGRXleQi4RBmmUt8wt5w/S5bPGmJhz4MdGMDRjyEWR4Ay2ws5VLIcZrlOAKSCOVSGVpqA9cWThiLl1M/2xwiwzArAJTUnajNbFuv2MNlGPkEv1EyDAUdL0y1ynzR7IUxPNUe3fb49RSBZb8LJBECo5ra0T2R4zxYnjb4ljNPAGo8gi3ncMqEZKJUB57xH4GH/wl4z4/i8u7Xty/DcBvAZ/8r8OW30vF4yEkqgOh8kyb4cSYDHUSJAjNygbNHis8hkiy2xvks+x2kriEAzgaUfOTptayOlutCqznNd3qOuSQMIAsA26dp1d48lbUYsmfEgJVmQNvE4iURgZw4psH/shfRwH7wZvRhjWaWiwYVNWsdx3XD2tq3J94eHf59BUx2USxcTNvmYZ9YGA62RoLlHiLNQqPro8sAUFnpY1Flnq+TguWwR/eWa/klKYaqKrjWoPuxS2lg/6yD63bbqCZtxOyZn9x0sYVK8aQrR4FrStnS4PoRkiQBDjwNALBx/+dQMrSsreCoiAKxY8KjskzbhnlHEf48VYPaDNeN9idlljv0THub4tgO0yx7HQGgt8EsK6aDa/bVsckY1RnFFX1t1IQm+w2nCW97Ms45GWY54SVzcyD8DGOWK4u0ABnlh8yZUAYOOYjlcqD1rk/Ju/IisbqcsQccGn4HKmI0whK1C36ZSYmYwDgSzLI9Aizr1kg3DADYpdJxrtWPQQ9GLJgOfh9dy7f+jn62qrTI1kyRZyDlkDgxvXaVMnyYsJRAAC7NFN9jcnnPeDs9AKgxP+eqP2TBsXovVULlu3JAdoeFgWUXJTQTNjbn3Y2O3Q7c9T4CoCMq6w0NtnuXWscBZKP41NeO/rsJNOYZsKxbtFOlqMK3PegPzxPRLSDoQUsi+ImBXmLCjGVmuUf2kcAgWOYMq24zi7siZtkSn0s/b4pFcXuFpGiaRf21frCAWWZknKpSG2FSi05SQt0xSDJjlmmxyhf6vYYYH4oS/DQ1rT4MyNZxEXzVoTY7rK/z60gXTRIuYd8fmLXzCX4AoCjK8xRFOaIoylFFUd74eH/f4x5BjzpRaZaYlCSCW78YGx0/MzCncdMvAj/wn5GsfhvvUH4fl43SBI+Kez4IfPGPgU/9FvCeH2HuD32aDGUnCU2nzlikWc7LMEwhw6jEHXwzIWYuXwQkjQFmuTPIvKXf1xXbpgDWAgu9IKI69zKz3DlD5zsMHPCVuDzZy9KC1mkCZ0mUBct8WxvIsrM8m7rXYNvgEU1kr/kClJe+DYlmjmaWi8ArZ5bTCnqM7Qn7VJp0VHzxT0dWFRRM9hhmWVGAi36A/l8/MCFY9pBoFja6ProMAJWSPupsQrWSCdkgmVkGBNvP4nKFBvR92iYWqxaePEf38KxC26rHNlz09BkogTsanHTODLimOKaOME5oAHfm0KxejMWNb+DXn3dpprzvyCiUYXCHkTODnwXomeeZ5VEJfppBfcdrAR/5VeAdzxJJU6W57THLlswsU9Lp9QfraCa0kDP81kDiWGG0Tqf6cZIHVLJ9CeSGEURJtrCB72aPy5llntwcj1h0crDM+rXN2ho/dqPjk4Vh6gnPZAvOAmmwRwWTxjSTUjqxA0CHg3y/MxmzrI9nlhcTOper1UepLQxjlk2Hdn/uu5V+5osnwxEyjPoBAZZZ4Y+O4sCHTgv4UALLtd0AFOCZ/5HeG/V8peAgvNQvSF4FxOLv0S+I93g7BZgMo42eUsJWCpalMebYl4H3/hiNBS/7a5bsqG+PWeZFSSaNIZrlomPDKDEL1ArJjXhfCtzheSKalbYtDwZ6sKBnwLIrdvQGmGVJQqOx88xrljVLLIjSz1vEIO+5HrjjHTTvzx4kMDwrgeUkGRzH7FraBzso4fLlGvn+G2XR5px52iEfsYNp6mpaIwLIapZ9rQQgGa7tH5BhSPeL9cHIrKIf/iuXYSiKogF4K4DnA7gCwE8pinLF4/mdOx5JAnzrg6IxhD3SOzlzaYOO5i6GH8WppicTmgE88w3Y+Ol/BgBc1GNb81sngHe9eLjWzOsAX32H0MKe/BqtJl/5cfr57BGhC8t7FBulrI0NIDKw5TCZ2XkUwonbuDu+EKE5M1AEJA1Zs8xB7DBxv9cBDjw1LVax0jfh+iFce4munYOM1ftoYB3mT5u6CEiTgcwstU4LcDp7ULxvCZZmQLMMEODm9768QEljlSWougV9ImY5V8EPEPIVebV/WirBnY84Bj77e8BX/mL8943KAufBpRj1/TT4K9por2XGbGx2fbRjAhIO+qjF9Gwymd6jgjPLaeU7aSIOetgf01bgYbMFRVFwaYmey/GABtDjDRd6mT2XUeC+vTog1+EVEl0/wmqrj0+0D+Mp+kP4mZv2FR1hyPkXyTB4YZJhYFnyug096kejmGWAft9ZBe7/CDFEd/1vel/2We41CFyMOxZAfVG3yeYt6AJGGdcfmEUTbNejtyXuZ9grllf1m6Q1XrxcvLf8JHKHkIKXcO8HEdyE3atAkmEompAEcNvMUbsqHICxPmomPUSJgl5MfWmj62G+Yor+z0FIPuegKBjgaycOXF9cczuW5CP9JgBFFG8oCsMem+A3F9G57E5WmZxlxILpih+WEp7Y85UTpesH0nGuFBHYaqGMgIPlVIZhAk/6SeDf35GWfZ9UhjEDdr/dguRVQGjwZbCcYZYJLPfVMrbSdib12a+9k8bGV35MLMB0W4Cm418lWeJX3wGsDSESOLOcmGnxmolCljF88reAT/7mIOOZumGwhZPh0NhvSDuyQzXLdtq2fBjow4Aee+I7gp6wlMzvuuYZ7UJmWbpP8qJcUYBn/SbNcw9+Mi0Jj/pB2lGNQrEwlROV2QIgVk34MEiCAWTnkl1X0a4EX1QP0SxzhyEg64YRMheloe2PXzdnlmUSj2GA+DyzDAB4CoCjSZI8kiSJD+D9AH74cf7OnY0z9wD/8CrggY/RYBWH1LFKPNlAgb5IWzjc7qgoGqjhZLKAZZcNEA98lAakYWDqm+8GPvEGcjgAyLVh342CrW08LAaxvEex4WQbJfdCHbCO4xX1tmDGfWwlFfjL15Eva1HI1nFFIJZHHNGgVF4EFi5FBBUrLmkeH9r1Qvrd3X9HgOHoZ8jbdFgUuQgMA8syGyZb28nbaiUJLHPtI2ebASzPVkf7LBeBV40N6FynuXWcbdPXgNN3Dj+W3wGQDGfy8+c+Lg7fQt7DB26mAbY0O5ZZVnQbYZxgpUeg00r6mGcyjOXShKt9zpAUlYleuw8q6Dh7NRqQ94La7ZEeAZUTDRdWTWL8T98FvPWp2YVkFBLAyoNlNpl2vRAf/dYKbvMvQSnpQV37NiaOQjeMQZ90+myBZpmzSKM0ywC1ySOfpDakWTQGAEKznMTUnkuzwxePA8esZZjla/fXhQtEvzlo05iPI5+k67/ypeK9V34UeM7vZT7GLRoJLEvMMt/+l10kKoxZHsXycbDM7p0Z9+DCRj+ittLo+pgrSzIM/tzLC+M1ywzwteGg64m+3IoZyOdWbVYtW6QpH3ppbGLaTLiODr8fYX84swyQlVxqvcmBCxuDVZ2ukY1zFsvJaMZl+Am5YQgZhkWAefESSaY2GbNcjel+K+2V4g/wtnzsdtHWu6wPGGXGLHfQV51iZrmzRmMQ7z8As0Rj5377nwFfejPNbX//c8XnwO55rNvT1STQJBnDkY8DX3kb8Lk/KDx2Kle8+AeBS1+YTYwfleAnMcv9xIKCRCq64dLzNKsFMgwpMVi3Ur1uVrNsFsgwLHGee58MIAHmGFiePUjHaJ3MLuJ5sIVbzNraVXtzbQ4QieDNk9QG86QBSLMcxbQgUBVI2uU4tRwd2v74eZUKtOscLFt19IOoeGf+CRSPN1jeC0BK9cVJ9t6/nODZp+5Gbjufga76AdTrNECuF+mWWTy23sW348OYb7JKV8eZ04C8xSXHEcYgH/0MDUBbxwgsl+o0uW48LEBJEbNcZGNj5pnlbIJJE2Woe6+nioCF5Tp90XmLQGz6fVz/VAH2PhkdrY6VFh2vNXc1sOc64Gt/Sf8UdbASU9E5ZhKjGFieu4B0XFvH6Dg1iU00q4w1D7LbaimzvCExy4vpnz39sr0wppVhcGaZTy7NE7S1t/ua0WCZX1PjkeGuFWllpTGaZYAGx1/+BnAxY5jHguU+VIMm+kcY0W/FLkyP/mZGn0BvnSSCWTZsAgsywGRb83fFF2AJdL+t9jFEUHFXZwZhFOPkZg/lupSQyKtSPvI5cZzuGoBkwDUlBct+iNVWH3epbOPq2O3jz51H5AsQwyMtIZ5nljlYZoVLumfFsxsHls0KscDOAvCM19N7qk5/x0HP1onJJBg87FqqWYbhYL5ioVLnBVO2ss+/CCzf+2HqN3tvEO+p2gCITJnlMEYXnFl2xTEXL6NXwxHXMpJZzsowzKgHFxa8IEIcJ2h0fSpow/t/yixPoFlOmeVShlluxTkZRmkEsAUYAziaWa74Z/GF+EnijXFJnhc9O/s5DshSRxTG/PqbiBMFm0kFvqKT8w/fLZTZyJS0mECznCSiPeQqbabhtQjA+R1RvIn358VLmWa5BU8rYwsFYLm7PmjxJjO+XpvmsRt+nsbtIoDExlh9kt20zPdIYLm3Sdfx+T8gx6N7/p4lsuWY5R/+c9JDZ5jlIXkiupUCPB86erwf8DbC85msyqAHtqw310yxszqWWWa/5+wyIHzmuYf15rFisMzamF6q4V0/9xS8+ElMJifn23DyrXmC3i9YpOuaGAvmylZGsxynOVJDvJbTBL/Zwc8xNju2ZhAnQBD96wbLRfRI5o4oivJqRVG+rijK18+eHQIcv5vBvV17W1mPRs5QLl6aVpEbxiz7YYw/+tQRHLcuRqn9GHWUE2Splq7a5ehtisn+6GeAk4x53P8Uep27kAAWn8jztmtGOZeZyzpufmuXdxqWkPV9V14Ea+EQMVxFID70ROceNUin4LwMPOd38J4L/ghnmnTvSoYK3PgqYP0IyQ8uf7EoNVsURcwJlxbwSn1bx8mGTE7SsqTzkxP8OFjuScyyPLhrJq3WhzmCFLEOnJXkW2Fbx4nl3nMdbXEPS26RB9RhuuWgB0ARWvFpYgJmWTVpsDvWDOEnGsyoJwEZaWBb+VbxxBYF1F4Y6CZ/4tXM3/laBd+IL8VMsE7HaDyKDW0JD657WGn2EcYJZuclsLzBCuMc/7I4zhA/bl6+t+tFWGv1aet39tCUYDkYZJY5QyRfC5CdlPbdQBPlY2zLeqwMgwGky18E3PCztMjiLDL/2+aUYNmqpRX8OLB8/Utuot/1trLJV/mFbb8JPPxZkgeMYliRZZa7KeiUZBiLrLqeXZf6wwQyjDggO66oh25iwwtjbPUCxAkru877Gd89cxbovEcBcQZEWnDQ9alPRnGCbsqIM2Z5VHIfwEiHEVrbKIDtN/Bgsg9dhy3UR8kwAODql9ErJzj4YsCZozbA5DKqu4EmKugGCfyE7VzxsTaz1V6Q0zEsvDaNbcBwsNxvARd+PwBFSDE6a7QIru1JE/x8rQwPJmLNyoHlsxnyAUAWxPpdus65w1ntuBwMYBnWBARB0ffELIH7qa8FrnoZcOd7gA/9PPCx12cr+MkhV74dlieiW7TYBeAlJvrpopGDZVbZtahgl5zgp1ti7M/4LBdplqVnfdFzgJ96P3DNT9LP3JaveTK7iOfB26JVwy2XLArQyxchpVmRZ9I8OVTqZ0pgeaFiCuu4MEbMMcRQGUYuwU/uT2x3I2ayrSe61/LjDZZPApBqVWIfgEwvTZLkHUmS3JAkyQ2Li7lO9kQIDpb5hARkmeWFS0hbB8rgLoq/uu1RPLTWwY1P+35644GPCcu0IlB69LM0qF39E8Rsf+v9xEDtvoZ+P8/AMvedzQ9ORinn+cg67jAZBjMuf96Nl0Ep0p3ykMGyNWL7T2aWK0voL1yNkG3jOKYOXPmj1HniAHjKqwf/Xo4U9MoyjAY9g7kLCERtPjaQkJQB8yGz+1NV0igqWpZZlmQYKeAetoVcZB2nsskskmQYHCxHPrB2X/Gx5IXGKLBsOJNvy8vhzI31WTYsGiBPNFy4sKGFrmDueBs6+yDw9mcAd/9twTH4QoTdj8qubOW7M/egVb8MK8kcjLhP/ajxCNrOfjy81sHxBn3HwiIDQ25DWP7x3RdA8uPOguWKJMNYbXlYqtqUsHns9uHJp/koSvADCNCMYpYPPp3+f+QT9DqJZhkgcFpZAq77fwSzw9srl2FMGnZNMH+sTV5/ySH6eYBZzvXVI59gEowfGfs1vPR5P4jQiSVm2evQopv3v1Jd2mkZ0oe4C03q5NCFHrnowUI/iFLSYb7CvKwVVSyo5ZyDYSFrlj2agIMoRodX9OOa5VHJfQBj+kYwy+0zUJDgTDIHf/Eqem+UDAOgse9X7hKFdfgYzJllgJ6Tu4EtpQbXj+Al7H5yyYu8C5KClQlkGByY2jM0/xQtfr0WMZbLV9MOD0CETmUX20khzbLPSjAn8oI8Cum5jgPLZlk45/Cy93IEPQQw4NhTOkdxsNlvgnahloCX/S/gt04DF/0gOX3IFfzkkIt5BS5jgHN6ad2WZBi65Aojg+VSNrmch+xuITHU2Qp+kptHXoYB0Bxw6fMlEMzamt8ZIsNgvy9ywQLoGXDSr3lyqNTP0MTcs1CxMprlSB8jwxhlHdc6Bdh16HY5Pd4TOR5vsPw1ABcrinJYURQTwE8C+MfH+TvPLYI+8NHXCf9C/trfyiWKMYC1eBnmHBOKAqy3B5nl01s9vOUzD+EHr9iF625iYPmrLKFLUYFOAVg+8nEacJ7FzEPuu5UGL96h5y6khrb5GH1OzWX952UYqaZySKdhXowozQ7XagLMOm4CzbLMLAOoS97StqnRCvbp/4HKyx68efDvM+c4RLPszFNnj3xiPeXkPiAL5vn2GECAuTQrEvysmcGSo8Dwib7IOk5m0oIeAbv6QQLLwHApBk+mUVSxe5APvzuZBKMoSrOCWUwS4BvvAv7sevFdoZeyNyc2XfQU5pnJGXd+rRyofuNdg98hZ5cDWWY5joDVe6HtfhKaBptAW6eBxiMI64fR9SPc8SiBnuVlxnCkzLJCkxs//6HMMk1orh9ird3HrppF2r5eY6CaYGHEMT23IrCcZ8mBLONTWST5AWfgxrGK5QViRg+xpKwX/inw0/+H/s/7ZhJNzyzzhTdvk5pO/XOcZvm+W8lmcN8NGBdWmuAXS64SLqsMWhEFTOy61IeGsL/chWbuEP3staEHLroge0levW++bNKx/+2twPU/Q5/l4+4oKYasWWbMchDFqT0iPMZojgO28rZ4kgAPfTq748Tu+88//2bUL2S7fqMSBgECPFxzCgiAwqs48vNzN9BSauj6IbwkZ0eWGa90IZsYFxzULl1JfVt2JQKoL3BXl8PPpDyZ0KM5qrzE9OIkw4j0MgxNgerMieP2GkhBqhwDYFlqL7yPfvp3gFt/if4f9hFrFp5zee4444K7TOTtFzWD5s/Gw2K+GgaWw352vsgc3wTfGPdgFDDLrGCZVWCrKuvNNRksS+ch36d0UT7C/pIzwX53pAxjoJ3zcaK2Ryw+I28os2xIzPJ8xczIMMQCbxizzM6ryDqudRqY2Ye6Y2JvvZTqop+o8biC5SRJQgC/BOBTAO4H8IEkSe59PL/znOPop4Gv/xVw7z/QzzKzLFdv230tFR25/EXQNRWzjllYmORPP/0goiTBb7/oCppca3upop9ZpQ6cZ5ajAHjoM5QMMn+h0Cfte4r4DB9sj3+luPKd4WRdKsZqltmAZdeLHQ14ZJjlEZrlHJM9VxYduMS2c/H011F52XGMqabTgOLnmGVnTnjDBt0CZln2tXWzgx/XPbrrQHk++3d8sBkmnRinWeYFBuoHiD2yZkRls3zwrbi9TyZmeZh+b1rtHg/O+oQ+8N4fBT7yKzRhcPAe9mHadB39IKaCEP0tMZBzFp3f+xNfIZY5c345pp0DTCa3QNDF7IVPxh/97PPo92v3UULp0kUAgH8+sgZdVbB7YY4mhq3j9PcXfj+ARMiV2mcAKAMTsWCWI6y1GbPMi9PIriTDIi7YvkwPPgoss3Zy6OnivXGa5Wf/NvBzn8x6ofL2L+/6TMssc+AotxO7nnXDAAYXtie/TkmhE+xa2IxZ9kKZWWY+y2ZZlDUuzYrr4xP+x99Au2k8+JjH2VW/AzV04SY2Y5YZWGY7djj8TLEQ4ZKpUUl+XguJosGFlSb4hZEsw2hPKMOQ3DBOfh1438tobuDBwPLFF10C5fAzadHLr2nSkGUYOWa5o82g50fwwGUY7PkVSYYmsY7jbYEX4MhLMfw2gITa8f6nEIA6823GLC/SuJlEQORjaXERL712LxR5Qc6f6yjNMrcw5WCZj5cPfkrsJAU9WKUyXv9Dl46/psz3sLmJ91m5Hy1cQjK5s/ezRLYca5xnlotYVgnY+jJY5teWkWFMyiwPA8scXI8oYqbb1Ob87lgZRib4OFHbIxkVoLAgCSDAsqmpqNlGxjouMSTAXhSjmOXmSaC2Fy++Zg9ue+MPYPfMNkmh71A87j7LSZJ8PEmSS5IkuTBJkt9/vL/vnIMP6ivfIhaBOy30csyybgLP+d20Q86XzYHCJA+caeFD3zyJV958CPvnWKPiUop9NxDYy4PlE3eQLuqS59PP3A5s343iMzzzvHmiuPLdUGZ5iAyDD5qluthCK2KWJ9YscxkGHX9WAsvOpN63mfOsYMA6rjQntvIAkezAI2WW24NMAWdDuuvC6ofHxMyy7I/J/iYOs84cikKTwqhkGgC44PuJleHJpPnvm8QJoyhKs3T9D36CCtk867fY97JnFnowLCdN3vLUkjh//t1AdiC8893Z75AtkfB/2zvzKNuuus5/952r7q25Xr1Xbx4zDy8TSQgxAxCSoERa0IACChoEVGwFFLBttbWXYgurcdGshS1L7NamWSg2CAuVScAgM2Qkycvwkpe8IW+s+dZ0+o/f/p29z75nunPdqt9nrbeqXlXde8+955y9f/u7v7/fD2RdWNKKI9tPNl9sykg99XUAwMh2qiBz35Fz2D7Sh2xWK/5cGeSyu2kRwr7lmWM0WTuTR3+RrqeTM1VMLyxTIxIOWHihG4fdvtplYAsF6fYixi/RZAXLTFKwXJnwuwzWYC9k7QksCVvJtK+TvmFtwzhrLDL2grM6TUGQXcUiBv8aWVrFzEoeq1BaWXaUwj7Ls8yf7bf/Evj7e8g6BoQEy7PILM9hQRVx9NwCTmvRwV5k+6RUlr3iAACFs7rkVUBZXpzVCX5JNow+HRwumde794OmnCfXEx+YBHZcA/zWYWB8f/xzuoTZMKozwOxJzOSGMbu4ggXfhsHBsnOt2mUy4/CVZR0sTzvjEu90lQbNfHPk2zQXlCcCY+XFe7bjT199eTAvwg+WHRtGtmCuBbZhVDZT0HruCM2zp58wAeTyQmM5GnwP806LHSzrilU4el/4c7ul40KDZfO5Vz1bWZ4zj833JXuWswVrlyAiWA6zYbhwzeSluXhlOWpHeWArBc5274QQuCJJpZRDMZfxu+0tLK3CS6rGUpPg59gw2DPdA0gHP5uVZeM/PHYf3XSsPAVsGLU30lilgJNOgt/7Pv8IBoo5vPVma0Ka1PVLd1xLK3A3WGY1jFf/l/0MBYJcTxMwajMQriwX+huzYZSGaBHQN1KrqPnb1Wk8y6xka2XZ6lrIiUJ1YdciBSwbhtX1L9KzPBMSLI8Zz7KrgqQJlnOloPUla3mW/WBZK22DkzHBsj4v+7Q9J6xkn6uK1wMPUN/5KH1/42+QX5s/S13nc6xM53Qx02euP5U1kwAf57argB9+PLi97irt/s7ECeoEBgBjB8wuwOF/AwAMbT0fA7qVrb+Q7BsxXeC2XEK1fg/rYDmkxjIAv8PXU6cooJ8YKFLgprIpg2WrFJzL+Hn0GdjP4ybe7LKD5RS1kaMIKMsJQZyNbf2wJzsua7dw1gSy9qKHA9fUwbLxLC97HpYyJVMNo1Ch87/jWhrfbBvGyjIFnIszFDBzCUDA1IutTkMtzqK/MoRvPH7Kryo0GtbtlAO2qPr0AFCdgioNIpdR/pi8ZDdTmTuly7ylUJYBnfSl75mzTwMP/B19P/0cvVcO4JNsOKGvEWLDWJwG5k5hITeE+cVlLKw6NowaZXkgXYIfK8Dsk3eaBwUSwQe3khjx1Nfo55VNwV04vtb7RozKH1JdrEplGAAAIABJREFUCIBRlld0+btChcbPgUmToL1SNa8fZYNIIk5ZHtOL1LOHI4Jlu3TcfGKwvAjq4EePWaDremXRUpbdahhWdYtcEX6dg7x1LNyUhBuMAOHjkg3PjXGeZfe6tG0YgFmcR9owaOepUsyhkMtYyvIKFI85iQl++lh8y8oC3Ydxyf1rDAmWbZ6+lyaXycspyei4dowMTOoEv4jkAJDx3VaWf3RsCl/60Qm85eb9GLYHfa5osedGWq3PPh9UrvykMz0pbL8K+PX7goFCadAMSKHKslNn2QlefeykokLFDMKh28/OSjdfBqASPMsxNox6cFfq86dpgipP+E1Paj3Llk3EVQrYszwXFiwnJCeFDeQZy7N89mldM5XbB08apcOlOg1AUdmuTC48EXBpPnJ7LBGeLJ74ClUdyeZ1WaMZWvysLAK5EkbKdPzL2X6j7gxuM9c7n89rf5mu16e+Zl7DVZY5WJ4+Rt2mBrfTa+aKdE3rAFqN7sG+TXR97BqzAgbO1h/dS01tnvue9oEfC73WS/kMMgp48iQN1psHS/Q+h7alC5aXY7Y7J3VJsGP3mZ+5kxL7ljP5eBUoCfverNezzOQjbBh+sGzdQ5xEOVpfsHx8agEnpqtYyfbRBFmdNkH6m/4ZuPaeoIefrWvbryGV8lsfMWMc28kWyc4xMjyCR45P45Fj0xjpzwdKVvmUN9H9wMcfxsI5qOIQxipmt29peRWryGA522fZzlJ4lgG6RjhQrWyhOsGrqxRsDmxpLPmW8W0YY8Hx2FvBQmEEs1Urwa86Rded+3qFcrrScawAc5k/dxHPyjJfU9uvph0pQCf4WWMlj6/DO2muWJqPVpZZMXV2HDG4jc4FV79ZXtDNOqoNKsv6MWHKcmmQlFQg2o+sMpayHPI3trIMR1m2LZqc4GfP6/44WagtF2d/763S7lXqYLk/2oYRpSyPH6DGQzuvp/+zbznBhjFQyqGYy2J5lTp5VpdWkSkmBMscN+T7dQKj/pzYqz4owXJv8qPP0tbbDW8H4JmmAZOX19owHMYrxYCyfOgETUy3XOAMHHtvBt78Ndq+LW+iG8P2Fc6dpBskSaViX2aoZzllgh9PrqvLwYGlMlFrw3C3hTIZ03XMxRkU7QS/hm0YnAm+skQBXf8oKbqVLaQiDjjbOUXbsxyhLM+dqrVh8PuLq4bhqg5+gK1tGEPbjfI8MEmfZViy08IUHWdOdyoLG3BaoSwDlIUPaBVqxhq8i9T8ATAF5gFSxvl4eKHClgM7UIlUlo9TYGxvS/NOwOA2IN+H/RMUHOy0lWWA/K/5PrpXVhYpsWq6ttU1ACilUC7k/GB5YlCfv5Hd9dkwwialiYvp2jpqB8v6PGasSem8l9FiramgqQnPsv8cETaMUGWZg2Ur2SzuZbQN46uPnYTngSZJVpZde5ddDYPHjUt/mlr2PvB3OqhSxjq1OAMszmHzOCmXX37kRLgFA6BxZ9N58W3kF6aA0iDGymZM5na9q7l+M1Enfc5+sDxvxtCb3km+10NfoKDMHXfqJcyGoa/bxcIo5haXMe8ryzPhCV/FiLHDZf6MLns6TOOea8NgNZQXEduvMaILJ/j5r6nHV94dOPs0nVeVrVXso4Lloe20q3nyMfO3C1O6S24DYx5/NpwM7B4HW6DCFrVKaZFp3m/wU0PAs5zDPPTzcFIgYGwY3gq93w+/iBpwBWwYUcGy9Xx2E5M4CmU63pimJDX2sP5R4Je/Zsbm/iRlWdswijkr0XcFiyurKOZzFGQnKcvZQjAHQILlHsbzKFjedyuw4zr62Y8+S6vNzRdTsMYBW5gNo1zA1MKy393m6FkKRrYOOze9Ukax4mQle0uRA7ikiZcVoShleXnBlM6qTtPP3KoZuSINbkBwYAlTlu2LnimGlMgBgqXjQDcZb+X0NRIssxoKmIUFb30OTpKK6CZs2J5qd1utf5RUr9XlaBtGZIJfSLDMpeNYWbYtIYOTALxwD7jdgjwqWF5sQbBsV2Dgc2YpwmM6MFm139fQjqCynC9T4J8rBYPQKGV55jgpRuPnmb/lgVEv9FhZ3jnKAcNI4PfYczO95vc+Rp+f23xHUy7mcFw3vZkY0MeROliOsWHkS6TCHf2h9feLAFTwXrr1PwG/9OXk14ojkzHKTsPKsmPDYGW5PF6bJHv6SfpsI3yKLpzgd+/jJ1HKZ1Doq5g6y+5z+DaM5cCiDBfcSZ704w/Se+SgbP4ssFLF+OgIBks5VJdXqWxcFJsuAJ5/JPr31SmgOIjxgaJfzpOvD69YoVwPIF2dZYC2jPmzu+J1FDh+5y8pWLatYI0QZsPQFZiWSiO6dJweXxZngrXkmSjRwmX+jLm2BidDbBhOJ0o7T4YT/PzX5GB5N309/aSusTxeW7Obq4rUBMvbSN1muxagd3Cb9Swfo/fgzglcCzwXMZ7mSqltGFWvgAXPUpbtsrI8ph/5FnD8fkpStoNZ+xyGBsuLwSYmcfC5DwuWeSwOE9Rs2IYRkRtT8JXlPIravzy1QONmKZ+ttUnacNdfezECmF0NXsj3ABIsM498jgbRC39Cl1TR6uPgdrOtxPVj87U3Mg/uXBHj2bPzGCjmMFiKyWblQM1uTDJ7KjgoRTHGynJEgh9gJWjN1FowALqA+ed9brB8ghYQZw5rn6q1MmaiBunqtF5B5/TLKIxoK0pjnmUrkOREG14NX/Iq4ODP1j4mpzslhSb4WZ9vWDIKUJ8Nw87+P/cMMGQFy6w8hVkxqueCbW/DPsul+dQBTQ38GV10l5k4+JxZOwV8blbtYGtom26QoMtJFSt0vQzvCgahrrLcN0LK4tH7KGixg2W2pmg184qdw8hmFC6ctPyPALXLBeiYD76WVDxvJfxah0nyy2cVRngXY2Q3Td5JilvSdufkZY4NY6l2Kzybb8yv6sLBUiuU5dIwVatYXaLv3YoJpx5PbcEAbM/yKq7eNYpMgZXlmdoqO9kQZTlXAs6/k75/9PN03/F1rRfmmWIF1++je3MsSlkGKOiZfq629BmjleXxcsEv53limoL2bLFigsQ0dZYBmvCregzNFYErX0/VG84cNtd0owxsAaBozvG7OFKwvFIaw9ziiqUsT4dfp3YC9MpybW1wxg6WB7aG2DD058nX1OTlRggoT9A9zmMEB4S8M3HmSZ0DEtIrIafrB7t2wMHtdI3YDYSq5xpXlu1gOezc8lgUpdbm+ylQj9rNsxThReQsG8ZCsJEJfzaHvkhfZ44Hd2YDdbIjlOW4xOOaY54Lt2GM7gHu+Qpw3u3xz+EryyExAoxnmW0YADA1T0mupXxGz10xyjLfRzlLWeYqKM3ePx1EgmWATuDn301Zwpe+mibCLVr9HdllFBC/nmntCmxclzlij9xzZ+cxOZywOi6zsmwl+YWVMwtj94004IUl6NjdiICggunCE5bt36tMmInwGx8CPvVmUw/avnltxdcmRG3ibdXGbRj6dfwamvoGv/6tph512OPCbBh2tQF3YZIYLM+GKMt6gFqap4HaXi2z8hSW5BdQlvtbb8MY2kkl+m74NfMzPme2sqyvXY8nwtKwCeL9JC79u5FdwZJsrrKcydD1o6te+IEvYBJKtHJ83d4xfP93X4pdY46iaj/GXgiF7aLAJPlNDJSgOIj1K2IklI9LDJYvp8mOF8ocLLeDQgPBcpSybAcLfSO1OxenH09twQDgK0oAKKAt9Js6yzXKshUs+4upEo2vw7v0js4mXfoqa3ZdCmW8aD8JCH7ZuDDYc+uWMWT0InR8oIhTs1V4nofjUwvIZhSypUGTtJ2kLAeC5Slzfq76eZojVpean+wPvAx42zdpN6qg80D0Nev1sQ3DKh0Xdu3ZNozv/zXw51ch0H2TWThn3vPg1mgbht+Ku4/KmwImCOa5icct9lqfecooyy5c/zjMhgFQN1e2c/jKcgP+fzvBL+we4mA5ajzlZl4pSsdVkceispVlK/mfrxP2e9vBsp/gV/ucfhC9UjU7m6kS/CLqLANU6z+hO2digl/OsmHo78/N0z1UzGWjd0WBYAUt3vEGdPOl0cbLonYBCZYB4N8+SAHAHe8zCtykHSzrAYZrvYZcwOMDdEGwgnH03EKtBcPFL9NmBcth5czC2Hkd8JsPm1WhjZ3ZC9Ag6/oKGb/1paMsAzSJHbufvudawfaNHudZdibQkf4CchkVKHCeGjso95XlFAsKLqm0NBfcegsoy/VWw4hRls89A8ALlsOJVZZT2DCaKR2XyVB5Q7v2a42yXDL+0ECykf6eKwHwBDC8iyZzTl4J8/FXNgPndFWQMGV5xARpgZ0XvpbtYHlsn6k4ERUsa2V504B1baYtH5cULG9xkvxWFuNrnzZDsUK2r6QSdDb2IjegLFs/94NlfQ8tTFFgk7ISBgBkMsrfjr1u7xgF5nOnKCEpyoaxuhxUlpUCLng5/b+srWbFirF85ct4oQ6W2UcfCm+nh/mWPU831hjCWLmAhaVVzC6u6O6ORaiidaxJCX5uNQw/qW0HcOA2+r7Z0leZjHk/vNPHY0VlHKsecHZRLwAXp8ODyEKZfud5tGOwOBPcrWQCyvIWOn92LsXCFCnJ9r285yZadPNnwXMTfxZK0f3s2zDilOUQGwaz7SpzDMsL0VaJODjYrE6FB8u+DSNCxOJcnxSl4xaRRyZfDCYF8nPwZ8MJ29PHKQDO5Ol8Ryb4sbJcrcOGwZ7lGDtZEv3xNoxAgl8+GCwbZTnKhmEpy65nuYf8yoAEyzTxf/39lABll2fjSXJ4twkkp48iqvXwHq2OPfE8DQjPnZ1PDpb7R+lmCyjLp8JX5/Vg14wEdFAWMQEXHFUPsIL44yZI5q/2FlJY8XUgdGt2pJxvrBIGYBL8PK++YLkwEJHgZyvLboJfimDZDQ54q5IVV3sQ6B+jQTJMWdbbxXSsIQOO5zUXLIfBlUUsRZhtGIoXVOVxa8E1qxdblkexOmW8466yDJjFVr4cDCa2XUmfx7Yrw49ty6X0WK5Fzlz7Zpo82cvsYJRlO1jm7eGnqCTfZ94e3v7aLQUXdkwAcPQH5u/bFSwXBrSNpY5h2b+vVfAc2Kpp33Bwq5TLxtVhwwCoi19/IYvLtg9RYM6KsLtrFbBhWJ5lgNr1AmaMKVQCyvLe8TJ+98cvwk9dGTORDu+i9xoWLC/OUABfGsQ4W+Nmqjg+tYCJwZKTSJmizjJgbBi24HDtLwNQwcVgKyiUAXhAroSCDuzPVG3LT4QNw1sNVqSYDalDbQfLYfWqtdc7ML/d8h7gzf9q/l8eB6CCY+Do7gQbRomuBZ4rbBsGw10kuepUiNUxETsIDQuWK5vp/cXaMObCBRHn+RehLQl5PW7byrJ9P+T6qJKPrbAmJvhV09sw4krHpcVXliPqLHOCX8CGYSvLcTaMBTOn2p7lc8/2VNk4QIJluqlecA9w238J/nz7NRQEbbk0aMOI2MIZKRcwXingseMz1IVqdhFbhxJu+EyWBi1WAZYXacBKEwjG4SrLi9ORfiT/526CH0Clnnhrjuvf2skJXCLHJWRr9oItg9izqUHvbdGaDOa1DSNMUa95nK53uewm+KVQllkRc6lORyvLrGLaAWImE10+LqAshww4fhnBOppUJMELD8tDx1veGQ4G+seDCy77+uESfbwwcNtdAyZxdXx/cOLdfDHwridqa2Iz264C3vFobSLfRa8A3v1M5CKyrLv4+ZUwAK2mDtA5+af3AN/9K5q0XJImpdIgBelcEaOdNozSYH0WDH4MQNeP/Vm7Ngy7cYVfCSN88RFFfyGLq3ePktKU7ye7A7+2TSYsWNZj4c4XUi1mLqFZqJjzUihDKYU3vmiPseaEkclSZYOwJD8O/kpD/nV9cqaKE1NVbB4omoA3X05e9NgeUtfKtu8W4J2HzA5kq/DvwTH0612XRc9KVAu1YXCZzFkTLId1OJw/Y64LvxOiFSzbi3cmV3TEhTF6PftaG9lNC7DFmfB7lOcMXmDbXQv5umBluTqlA8smPMtA+H2kFPDCXwMufmX44/N9dJ5XFsMDR/38XrYIQJGPn+vohynLAHDgJfR8M8fNuePPQ2WC16AdLLMNI+MkKdYcM3uWmwiW0yrLus4yYCf41elZtkvH9VBDEgBIOBMbgNJgbaAMUFDwGw/TSplVwblTpq1rCPs2VXDo+RkcPRdRCSOM8oQJiupRTeMIVZYjguV8jA3j0BfoayZnak7bK+GozlHcqMDiV2/dj1+9tc7uVkygDexpOuY0Pt5ixdRUtf++NARA6bJtTpBkN1RwWVqgxITLfjr4cw4O2B/rrpijGpOwkgOEDzjc0c+yLTQNJ3pZQcyOkX7kMgqDQ/oa6B81k8XiHP09V6zgcl9nDpMfbmlOt4+1Bn22S7RSdYsJbNiGsXnAujaVokn84c8Yb+b0sdoBOiwxxmXLZaZF+OpS+5TlG98RLCOZhlxRl2VyJjrbYsAJfpz4dYqV5fqC5d9/xcXYPqJfxw4m3IW4fQ+5wXI2F1QqixVTDaGeRNZNFwBPf7P25/yzrVdgfJXu7ZMzizg+vYAX7LHKs6Vp/OJWw+h3ark3uwMYRsEKlnV+x6I9TUfZMABa1LKlz23aslyle5XfN88x9t/Z41EUV77e7LoyI3tMZ0vOw7Hhc++3ZdfHyx1OTz+hn1ORsrzcqLJsPSZq0XnTO6Mfn+8zOTGhyjI9v6fPQTGXoeM/dyRoR+PHZnKUXPfwZ6hKkn8PFM3z2YsO2yO/UjVVJOIoVHTpOn2fNRIsj+6lwH04PLYxCX5WNQyd4JfoWV6xPct9pjTf/GmxYawrKhN0sdoDa0yQdmBzBY8dn8azZ+jGSRcsj9eqAU3bMMI8y0kJftZ77B+lxJvD36CbaPeNRkWyt5DcNtRMiEdaKWWSr+rFbjDC3fvSUKgY1d4OJjJZGkzDnifOs3zqMarKMHGh8xjLhlGo1E44A1tqleWVZTo/frBcCTaSAYxSXUciViLFCgV8vGOQK2HLUAn3vvtWXLRLe4rLtrLs1NJ1leUwf6GvLLd4izqC/kKIsgzQsU4/ZxrXhFUJSKPIjO0jPzp31mqXsrz9KlKi6qU4WDsulcIS/CxlmVvd1sHtl0zikm06CLfvp8gEv5Bg2YVtB2HPE8em88kX744/T3yFtpU3X+rbMJ49M4+zc0vYPFi0dtIS/Mr2MXOd5SjBoZVYiXNsL1qEtTgLW6j5YkKMsszd++xykkCtspwULO96ISVV29jjU5Rn2X4t+zwPbaedpnyJhKu50xR4t0NZTiLfZ3YuoxqXWF9L+awVLFvVMPh8bLk0mGjMinLOCpYDz2/V+F9eTJfkyPfwgj6/jSzkxw8A73zcqPsOcQl+qTzLWSdY5rmwh8rGARIspyPfb7ZD4oLliQFMLSzjh0fowt2WKljeZDx7bve+Rim4NoyI0nFAuNKSyeqGKUvUJtT2kAaqYQzQytFVYUOU5abgwbU6Q9tZaRcTxUq0UtA/Gj6w+8FyiA3jhPZIbnKCZVaW58+QcukuCga2Urkqu6OT3wDA8Szbf3NaK8vDjqLVDOwl52tNn8+JgRKUpWr5lRXc8mClIZqIOJAP8xdyiTduAtBmfBvGgHMcPFFd9Qv0NcwKE1Y/3MX2hK60UVlulNJgbaDJ93MmR7+zF7ann6hbVa7BDrRrlOWw0nERE7+d21CvsgwEa/R6HgXLe28CMhk/cfXho3SvkWc5RByIwlaW4yoKtRI+vvK4X5M+oCxHNSUB6BhnI5Rl3rHgIDLMhlENsWGkwU4gDh1TrWA5WwzePy/+XeAn/jt9Xxyykj0bUJazLQiWOegL62bnK8v0lZTlHSTI8Oeb76NzmOujDnk8Fs6esBTliGDZLR2XZpzh64Vfv9GFfIzVb1wn224ZKhnP8kI9nmXr/S7Nm7JxPWbDkGA5DUqZwTVmxcsdyf710eehlG69m0QlxIbRygQ/VnfqSfDj4wJodWwHPW41DIAG6TOHqfYoEF5OqhlsG8bJx4LVEmIfNwBftXKD5X23Uoc4l1yMDePEQxR8uK9vD2phA8DgpE6UmzI/c7sqFsoUkLESB1BAOrC1sYkjCp5YWXlybTVA0LO8OKMrAVgBEVfEAMKV5Z3XU23nPTe17rhjKBdCqmEA1HFw7AAlKalMhLKcwoZh72y0U1lulOJgrQ0jV6Lj7BvRVRasCe3MU5SU1Qx2MOEqrn41DEtZjhIZ7HGinrbufvk4K8nv5GO0k7D3ZnrqXAZDfXk8+Bzdd5sHS+ZcprFh2MFLnODQSqwFq1GWk2wYXJ/5GdMuPilY5q/236VRlsMY2mGaW4V6li0bhjsvbLvKjMMlK1hupikJ0GCwbN1DMTYMxTYMVpYB09WUCwD8/GeBm94VzL9wE/zccd2thhG2MKo5ZjdYbv1C/tLtQ/jyO27GJduGIqphVIwa7hKohqFLx3GuQYyldS0inuW0lIYowIhVlmnQ+t7hM9hUKfpm+FjK46ZxRss8y5ay7AdlCaXjXKWFfctbLg1up7sd/ACaSO79IPDdjwHvPdr6YJknuJnjtB0+/oaUj7PesxtM3Pmn4Y+Js2GceJiCL7eLlt36eDBka4nLx00dNdu/brDMg97irLnGzjzZWgsGYCZWzpa3J5hNFwIv/QMq78Xbkfx3dqAwsst42MOU5fIY8NN/3drjjmHbSB9K+Qx2jDjn+Pw7rOoLE+HKsm/DiJmY7EXhymLwfK8FDtxWu5vBC3wOCgsVmoCr03QfNbtbUYixYfAu3MqS8VJGKcv2PVrPmDGymxZAvPsCkKoMBBbBY5UCHjtB99rmwSIwV4eyzIvA6hSd947YMEywzMqyhwxWVA5ZbznehnHG+ixqbBhOsJzN02fQCmU5m6eg8ezhiGCZleXT8QuO0qDprtiVYNma2+NKx7meZYBqRWcLxpK33bI05MsklviPZztGTLC8vFg7z4RhK8sqW9ult0XsGafXMZ5lR1kG9Ht0jjlQZ1l3SHzgk7TYtXckegBRltPCk05MGa9NA0UMlnJYXvXS+ZWBYGOS2ZMAVGM3uo2tLLvlelwilWUOli8JKqluBz+AtnfPHCYl6eSjOpu4hVuW/DrP6fJdabf37fecVp3loClslfz8w8DEBSGPsdacUcoyEAzW3AYAfpKO5f0681TrB5Q4ZTmTAW54O01aHLyz0mMHMiO7KWFlVSvhjUxsLeTOSyZx72+/GEP9MUHswJbGPcv2onAt2jBufS+p5y59wyYo5PPHVqJmg2VbBXbvdaVoQRFWDcOF71GVra8RRTZPC1O7jvYTX6Fr07pnxitFLK3Q7tLmAat0XBplOZOh64KtDY2orvViK8tFE/is8gItbFHH55YXDrlStLJsLxLK42Yc4PrUjb7H0T10TcRUkcD86fgFUWnIWBIbacRk38NtUZbpfSh9LZdsZfnkY9HHzOpy1lGWIz3L1fQ7WLxonT/TkR0vtmHUeJaBcCuGbcPI95Mf/ZlvApf9THLy4hpDguW08CATE3QppXwrxtak7n0MB6XnnqWBq3+0+dUh3/TcYQuI9ttd9Erglt+JtmFsvpSOiX3U9sqRB9bFGeND4oC2pcoyB8vfo69pE8filOUoMlkAqlZZXpyliXniopDHJNgwBsKCZVaW3WBZDzicCNHKShiA5VkO6chowwM/B8v29TO8iz6f6aPRNUk7SCajTGOVKAYmG7dh2IvCdpaOazWTl5vSZnwvnNA7AlHl+9ISpywD9BmtLAU7l4U+T8V8rXfyHLFar68sU9dIx/rDnVUL2QyG+/OWZzlFgh9A6jIHnh22YfTnzSJ8NeOUHbPhe5OV5fHzapXlBSfBT7+GrywvzpKFo9G27XtuouS/MOwEv7h5oTiYvLiKQylznTWrLIclv4Ypy1zRoToVPcewb9l5fKSyvMSe5TQJfvp6mT/bmWBZ2zCmF3Q1jHw2IViuhrxfVVtRqgeQYDktPLgmBAYHJmjg2jqUMoDg5Llnv5O+e18S2TwFcEtzJqknagtxfD+V03EnqitfB7z8/WZVzAFqmMe1Om22zzigbYdn+bkf0NZr2s5jgVbAKc+H0h0a3QQ/9ka6lTAAx7McUg6HA2i7fNyCm+BnZbQDxhPcahsGnzO2V0S2ftUDPwfVrg0DoEBlDSjLqQirSAKk65S11j3LUfzU/wRe/mf0va8sP0xfmw2W+fqIUoSzOZMvkS1GN1rh67GRtrcju01VlpOPUsWeXTcE/oQrYkwMFqkaD5/LNDYMgN6bryx30IZhJfgBwAoHy6HKsn4MK8sTF9U2JTnybaoSYo+J/ePm79ydrnq58TeAn/tk+O/skmhJyjLTaJ4Gv1ba8xv2WCC23bXKFZHP6jrLuaLVhCliLGXhyQ2W3fdYGqKxxW9ikmKcydvKcvt3vGptGBmTHHj26doHrNieZf357Lmx5yphABIspyeFDQOg8nFAyrJxAAWjI7tpa6IV3fsY7pbjKphpGd0LXPMm8/9xbcVwS8cBpCqzgv2sDpZbObH4yt4UfVZpt2sLDSjLAD2/m+AXVQkDCBaOD+tKlO8jpcMOlv3JyUrwA6xgmWss705/3Gngz2TuJC08ooreZzI0yPld2qzPkju/nTq0JpTlVAxM0nt27TV8nuOuqYBneQ3aMNLA7+H4g7SQ5t2Ohp9PX6/FCEU4WzA2jLjFlK8sN7C4HtlFOx+Lc2SRAoDNwZ2fMZ3J7ydb8ziYttFPvmQFy52ohmGU5UIu49e49fxgOSSAyhXonM6eoMXL+H7yj3Lt37nTwI8+S2qevWjpHzUKtLt4byX2MSd5lplGSscB9Fnk+xsLtpNsGFmzYMllMn7g6Ad+UXMM153POgse977IZE2Dl9Q2DH3fLHRGWeZuftNVrrOcoYTuQoXqSbssO3WWAeCyu9t+nO1AguW0+NUw4m9CY8Oo42bfcS0V05892bpubfk+XfYrwbPKiLMCAAAaX0lEQVSclsvuBl7w5uBgywGUn5GuTFvsVm5ZZnPmc6+ndm/AhlHH+cjma20YJx6iQS5M6VXKBJ1R5XCGthv1HQivhgEEKxYArbdh8OvNnaotiu+S77eUZSuYGd5Jjz35KAVDPREs6wmLbSXMyqJeNMRYnwKe5Ta2u24nfD+eeIiaD9TTUjsMDgyi7vNswVTDiF2IlINf64HvjbOHaTGrMpSAazE+QAHEZq7Bvel84K4PARf8eLrXCNgwOhAsH7gNuO5t/vvgGuKrbvc3F7tVvZ8Ho4/7/k/SdXvwZ4OPKY/TOOB51uI9pT2lHgJ5Lh1QlhvN+Qkk+EWXjkOuiIu3DuKCLfp68IPlKGV5s/84+hqR4AeQSHX6yfqD5dWI5M8Wo5TyCxcUcxnarcn3Aee9jBZkK8vmjz3P7CwB1K/h4M8BF/9k24+zHUiwnJZSSDH+EG7YP47fefmFuPn8kHqTUey4llSBU4daY8MATAHwpGoYadl9A3Dn+4I/48njxEP0dduVJshspQ0DMJNyPbV7G1WWs4XadtcnHqaJNiqoyuTpNaK2/4Z2UmknpjpFKpAfdDjB8ukn6fNtZatrwHwmKymK3uf7rQQ/K1DIZCnp8+Sj5K9rVAXqJL5v3PEtp5mUetWzbMPX19yp1tTtLiQEy5mc8SzHCQxuNZh68Bs+PEVj0OjemiCLlWW/BrdSwBU/l972kS8l5320kqFtwO3/1U8a5i5+XlyCH2Duz/Imq4ayDpZ/8L+pqpHbmrt/nIKshXPtVZYDtflj5qFiK5TlYhPBcroEP+SK+ORbXojXXb+b/s8l0JKUZde7GxksP5G8yGTsebZD4xIr6qW8NRde+Aq63p6+1/xsdZnKofL7HNkF/OSHWh8bdAgJltPi2zDib+J8NoNfvHFv8EJKYud19NVbabENY063e1atC8Jt/KQhrSzvu9X8rtXJMPxadSnL1uRWl7JcqLVhnHyMguXIx+TDG5IwwztMFzjANDngv7drSQOmFm6rM4ZzBTOoJnmNC/1m8eNOcuPnUb3MRlvTdhqesFzf8nIdwfLiTHvbXbcT+35s1q9sP1/UxGfbMOKuj2aUZbv1+vM/Cs0n2OQry016YIHOeJYd/GDZ38KPuPb8ZiabzFg/exI4dj9w9Iek6NU8uS5ROnfKdGhtx4IgUJu/zcpytplguS/8e4bzWdwgNsmGUXGrYTid/GxG99K8ffaZdMFvrg+ACj5vm+GKGEW7NO6Bl9KxPPRp87OkhkQ9hgTLaUmZ4NcQmy6wvHStVJbnyBYxtr+xBJokckVSVGeO0UBgZ0O3Olhm5WQ8JmCteYx1DPUkobkJfivLwNSz8YpcJhff635oBwVbXMJpwalpGuZZblcdSv5c0ijL7mOYTedTQsfC1DpQlhOC32yO3iPXWe5FZbnY4mDZ3RFxsathpPGDNxIsl8dJkX7+R6TGheQTbB/pRy6jsG9Tg2pWWKnMDsI2DC8uwAIsG4alLM+eBB78B9rBuvTVtY+xu/gtNJngF0faz7AVnuXzbiNLQCPwNZ0rRe8g5kq16n6SDaNGWS5G/z131pw/nW6cyWTMcXdoER+qLBfKwIGXkG95dZV+JsHyBqWUTlluiEwW2H4Nfd8qZbmgE/yO3Ue1ktsFD9JD201XLaD1Wy3FBmwY/JhcX30KrZvgN/0cqf7DMR2HigOmSkQY/Fj2Lbs1Tf1yf7OkPp853L5g2f9cEhYQgWDZOZ/j5wHwaFHRC8py/xgtaFxlOW2JpmLFqrPcg8GyWye7WfjaiFIiuRrG0nw6G0Yj44VS9F4OfYG2e0NqoG8eLOGr77oFL71oc+3j02CP952wYTgYZdmp0evCn19lImjDeOrrwNaD1Cio5sm1xWv2pPEst9uGEVs6zlKWGw2wXvJ7wAt/tbHH8rmOm+Nv+0OqFGWTqCw7wXKSssykTmQvB5+3zXD5uKLbdO3Cu0g4e/a79H+/DKAEyxsLtmG0S0VjK0bLEvz6SUU7+zSwuY3BMiu+wztIvWPloNVbloUyqe71fD75MgBV/wLHTfBjr3GcInf331C96ih4QOV61FWntSwrBKw+r1TDuwG2Aj5nSYMY70bk+2uVFtsO0wvKciZDk9b0MVI+ZnTiYtrqFoWK9iz3aIKf7QluhbKcydB5T7RhJHiWm7FhABQs8wI0rFINKNlaNWpnshsqtKk7WhwcLCPRhmEl+BUHacfv3BEKXJxyeubJLWV5/iwlSLZDPc82YsPowpjiB8sxu7BXvQHYekXwZ75nOeKY+0eBbVeTbxywFOaQvx/aYZLF0wa/PE532IZRYzXddysABTzxZfp/MzWz1yASLKdl4mLgml8E9t6U/LeNcP6dlAQWMeDXTb7PlB/bcln83zaDrSwrZZTfehLq0nDJTwHXvaW+x2T04F/vsbgJfjwZD8UEGVsuNTWpw+DHcuBdnapVqgplUpY5qa5SR5JoPaRWlvVgHjaBju2nyRXoDWUZMLWWP/9bwAevIL9yWluFryyvwXbXachkTMDcigQ/QFdeiLhGswVK8Gln6TjA7OZkcsFOo60iF3MPdID+og6c3C18Fx5LyhM0DpfHgUc/Tx77qGDZVqCPfJvmnnZ0Vcvm4ftqU9swujCmpAmWw+gfo4VH1PivFPBLXwQufqV5/hveDpx/R+3fZnPm/kwdLOvPtMM2jBpluTxGfSMe/xL9nwWndaIsRxRZFWrIFUyB/3aw5RLgP97fuuezb/h22jD4RuVgkBO/Wq3CHHxtY48rVhpQlp0EPy623kwh9fI4Tby2DcMpc4VCmXzmXNu40uDWcRKpPctWLd2a35VoUD/zZO8oBwNbgCe/apSPhXN1lGgaIF+nt9qbNgyAri9vxTRJaJbXfcokiblkchQoJ3qWyyRENLr7xZaS0X3pmjjUCy8Eu2DBAID+vKssR7xHO8EPoODt+P0AlNm1dMn307175jDw9L8D17+1ZccdQCl6neX55A5+QHJJy3aRxoYRhlLAW/4tfSMUpYCX/kH070f3AqcfTx9k5jurLBfCPMvMvluAe/+c5jdWltPY3HoACZbXK3zD940234AgDltZBoDr3xatZHSDQoPB8tJZ8/+zT5Ni04yCqhR9Rhx4uwl+fKyLs+0Plm0vdxxxyjJAC6MzT/ZGnWWA7gP2ZgL0fVpbRbFizl0v2jAAClRKQ60LROLyB7IF+nyXEzzLSgFvvTf690lwsBzWWbMV8D3ShUoYAFAuOlvykcGyPj7ejWKP8pZLjIXQRekqSQ9/mhTo/S9tzUGHkSskB8t5nTzXrcV3vj/4tR44ia8VsG85tbLMnuVOJ/iFGBP23Qp8/QPkleeqJOtEWRYbxnqFb/gtl7R3lc6DNCewTV5Ovq61QrEBG0auGPQsn3umNT5PLh+3MEW+ZLfySaFMW/1sw4ja4m6WtMqy7yeNCBQ2hbRAX8vwNXqttvNwsJyqnmmFOqEBvasslzfVlyDbDNkCVZFJ8iw3C29Zty1Y1tdGJxqShMAtrzP5JBuGVQ3D/rrrRfEvUB4jz3KhQvX+2wVfA0l2ltJQ9xbf2QJZy7q9+G84WO506bgQZXnHtTTfPv6ldedZFmV5veIHy230KwNme3Kt9no/7476u5Vl844N45nagv6NMLQDOHofcOhfaDvcrksN0KBXnaZgOVsMJry0Ej9YTlkNI0pV4zJ+3Z5c0nL1G6k168oi8M0P06IlbXWLYsWU/evVYPk/fKRzKk82l67OcrOMH6DFT1hptFbA13aXbBhlTvBzKym47HwhjSdceYEX4nY5zzDYRrPnpvbYWBh/0ZHgTS8NAqsr7TuOOJSiMa/bTTPG9tHXtOejW9UwwpTlnC4h+/iXzU6FBMvCmoYH+XZWwgDMJBJXY7ib3Pxb9T/GTvBbXSU1+IKXN38swzsomeaBv6fJbMcLgr8vlKlaw+zzZMFo145AMa1nOcGGse0qUmLW6kLJpThAn/nR++j/rCynCYQKA7RVDfSuDSOsVXu7SFsNo1kyWeCOP27f8/Oxd8mG0afrLGeSguXdN9A/Zmgb+cYTg2UdVO9/cZNHmkA2bbA8ROUGu0Wu1P3Fv68s1+tZ7nSCX0Re0r5bgX96D/CZt9P/27kI6yASLK9XbBtGO7nkVTp5bX34kgDQIMXK8uwJmvRbYcPgJMhHPgdc/traJMi8ZcNoVyUMIL2yXIhJ8AOAzRcB73oy2hO5VmGv+MIUBXNRSWo29mfQq8FyJ+FqGEvzvT02dFlZ3jnaj758Fvkit0hO+Vle/UZSi5Pq9vO13+5gOa0No7yJEm+7xfm3m54H3WJkN/CCe9Kfky7ZMEI9ywBw2d2U33HuCIArKfl2HSDB8nrlgpdTC9OJi9v7OjuuoX/riWzedPBLU2M5LeyZ9VaBC+6s/b1fOu5Ea14vimLKOsu+shwTKPRaoAyYrPtqHTYMe5LvVRtGJ8nkqLKLt9Lb27C+faA7yvJLLpzAt977YpS+8X36QT0+1jTWsYOvpeS0djVAYtLaMO74k6AFrtPc9aHuvTaTyQJ3/mn6v+94sJygLJfH6DyuMyRYXq8MbQN+7J3dPorexE7wO3uYvg7FdO9LCz9Hrg/Ye0vt7wtlYFGXjtt+dfOvF0W9nuVue/haTdFSluups8yIspxMtkD+e6DHg+XuKstKKQyU8mYru9UB0eRlrcnHSCJXpAVU0vG3O2hfj3S6GkY+phrGOkaCZUFwsRP8uC5yXKvrtAxM0oSx7xbTdcmmUKHySssLVKquXaRtSpJkw+hVsjmyvNSlLFvBkijLybBnGejtYLnLdZZ92L/aq/7PXJHGk27UT17vdLjOcmw1jHWMBMuC4GIn+J19hupFtmKyzOaAV/w5MHkw/Pe+guu1rnFE6Ou0KMGvlykN6qYk1fR1lhkJlpPJWlNLL3uW03pt234cnODXo59lrtT9z3C94nfw66wNQ5RlQdjoZIvktVxdIWW5FRYMJq4ToW13aFdDEsDyLCfZMFhZ7rKq1g6Kg1ZTkjo9yxkZNhOxP9NuVxdohi5Xw/DZ/2IqkdfOBlPtpLIZGNza7aNYnxTWWDWMdYqM+oLgwoPOyhIpy1zKp93YAVknlOWk+rcju6hua7saPnST0qCps5xG+RRluT7sz6iXlWXuzDbY5fKIo3vbWyKv3dz2h8FGT0Lr6FKCnyjLgrDR4UFnpUp1kXde15nXDSjLbQyWR3YD578c2JHwvioTwDsead9xdJPiILBwNn27a/Es14etvveyZ3nT+cDbfyiJZ83SbWV+PdNxGwaXjhNlWRA2NqyELVepxXGaOrytwA6W25ngly8Br/nb9j1/L1AapFqgUg2jPawXZRmQQFlY23S6KQl38MttLGV5Y71bQUgDDzqzz5N3udPBcr4sSky7KQ4Ac6fo+1TKstgw6iIQLPewZ1kQ1jpc675DJT6NDUOUZUHY2HDG+fRR+trpYLmdFgyBKA4C82fo+1QJfmUACoAnwXIa1ks1DEFY6wzvBF7zcWDvzR15uWI+oYPfOmVjvVtBSAMrjdPH6KsEy+uP0hAAj75PU45LKcsbKBpDIgFluYc9y4LQC5x/R8eqzly/dwzvvfNCXL69B7u3NoEEy4LgwhP9FCvLo515XQ7GJFhuP9zFD0jv9St2NpGmp1lPnmVBEHxK+Sx+6cf2IpfdWOHjxnq3gpAGntynn6OvHVeW21hjWSBKdrCcMvjtcNZ5T2NXw+jlOsuCIAiQYFkQamGlcarDnuVsAdh6BbDj2s683kam2ECw7CvLUg0jEVGWBUFYR4j5ThBc7AS/XKljWcZQCrjnK515rY2OrSznRFluOeJZFgRhHSHKsiC48EQ/fYxUZaW6ezxC62lIWdaNSTKiLCdiJ0GmSaAUBEFYw0iwLAgufp3lE51L7hM6S8OeZQVkNlZ90YbgzzRbBDIyzQiC0NvIKCYILuyx9FY751cWOktxyHxfTzWMbEF2GtLAwbJYMARBWAeIZ1kQXGylUYLl9UkjyvKOa6lFtpAMV8OQ5D5BENYBEiwLgosEy+ufbJ7aMC/Pp/fUXn43/ROSEWVZEIR1hNgwBMFFguWNAavLUgqu9fA9lJdgWRCE3keCZUFwsYMnCZbXL1zdQkrBtZ6s2DAEQVg/SLAsCC72BC/VMNYvRVGW24bYMARBWEdIsCwILmLD2Bj4NgxRllsO16KWYFkQhHWABMuC4JKx8l4lWF6/sLIsVoHWk5VgWRCE9YMEy4LgopSpkCDB8vpFEvzah2/DkIWIIAi9jwTLghAGT/Z94llet3BjErFhtB5RlgVBWEdInWVBCCNXAFCR0lfrmfI4BcoSLLce8SwLgrCOkGBZEMLIFoBCudtHIbSTq98I7LpBbBjtIJMh778sNgVBWAeIDUMQwsjmgf7xbh+F0E76hoGd13b7KNYvxQGgNNTtoxAEQWgaUZYFIYxsUZL7BKEZXvcPwNCObh+FIAhC00iwLAhhXPl6YHBrt49CEHqXrQe7fQSCIAgtQYJlQQjjhl/r9hEIgiAIgrAGEM+yIAiCIAiCIEQgwbIgCIIgCIIgRCDBsiAIgiAIgiBEIMGyIAiCIAiCIEQgwbIgCIIgCIIgRCDBsiAIgiAIgiBEIMGyIAiCIAiCIEQgwbIgCIIgCIIgRCDBsiAIgiAIgiBEIMGyIAiCIAiCIEQgwbIgCIIgCIIgRCDBsiAIgiAIgiBEIMGyIAiCIAiCIETQVLCslPo9pdSzSqkf6H93Wr97t1LqkFLqEaXUy5o/VEEQBEEQBEHoLLkWPMcHPM/7b/YPlFIXAbgbwMUAtgL4glLqPM/zVlrweoIgCIIgCILQEdplw7gLwMc9z6t6nvckgEMAXtCm1xIEQRAEQRCEttCKYPlXlFL3KaU+qpQa0T/bBuAZ62+O6J8JgiAIgiAIQs+QGCwrpb6glHog5N9dAD4MYB+AgwCOAvgzfljIU3kRz3+PUuo7SqnvPP/88w2+DUEQBEEQBEFoPYmeZc/zXpLmiZRSfwHgH/V/jwDYYf16O4DnIp7/IwA+op/jeaXU4TSv1wbGAZzs0msLQeRcrC3kfKwd5FysHeRcrC3kfKwdeulc7ErzR00l+CmlJj3PO6r/+0oAD+jvPw3gb5VS7wcl+B0A8K2k5/M8b1Mzx9MMSqnveJ53dbdeXzDIuVhbyPlYO8i5WDvIuVhbyPlYO6zHc9FsNYz3KaUOgiwWTwF4MwB4nvegUuoTAB4CsAzgbVIJQxAEQRAEQeg1mgqWPc97Xczv/gjAHzXz/IIgCIIgCILQTaSDn+Ej3T4AwUfOxdpCzsfaQc7F2kHOxdpCzsfaYd2dC+V5oUUqBEEQBEEQBGHDI8qyIAiCIAiCIEQgwbIgCIIgCIIgRLDhg2Wl1O1KqUeUUoeUUr/d7ePZiCilnlJK3a+U+oFS6jv6Z6NKqX9RSj2mv44kPY9QP7rz5gml1APWz0I/e0V8UN8r9ymlruzeka9PIs7H7ymlntX3xw+UUndav3u3Ph+PKKVe1p2jXp8opXYopb6slHpYKfWgUurt+udyf3SYmHMh90YXUEqVlFLfUkr9UJ+P39c/36OU+qa+N/6vUqqgf17U/z+kf7+7m8ffCBs6WFZKZQF8CMAdAC4C8Bql1EXdPaoNyy2e5x20ajP+NoAvep53AMAX9f+F1vNXAG53fhb12d8Bqpl+AMA9oA6eQmv5K9SeDwD4gL4/Dnqe9zkA0GPV3QAu1o/5H3pME1rDMoDf9DzvQgDXAXib/szl/ug8UecCkHujG1QB3Op53uWgDs63K6WuA/AnoPNxAMAZAG/Sf/8mAGc8z9sP4AP673qKDR0sA3gBgEOe5z3hed4igI8DuKvLxyQQdwH4mP7+YwB+sovHsm7xPO+rAE47P4767O8C8Nce8e8AhpVSk5050o1BxPmI4i4AH/c8r+p53pMADoHGNKEFeJ531PO87+nvpwE8DGAb5P7oODHnIgq5N9qIvsZn9H/z+p8H4FYAn9Q/d+8Nvmc+CeDFSinVocNtCRs9WN4G4Bnr/0cQfwMK7cED8M9Kqe8qpe7RP9vM3SH114muHd3GI+qzl/ule/yK3tr/qGVJkvPRIfS28RUAvgm5P7qKcy4AuTe6glIqq5T6AYATAP4FwOMAznqet6z/xP7M/fOhf38OwFhnj7g5NnqwHLaykVp6necGz/OuBG1jvk0p9WPdPiAhFLlfusOHAewDbXceBfBn+udyPjqAUqoC4O8A/LrneVNxfxryMzkfLSTkXMi90SU8z1vxPO8ggO0g1f7CsD/TX3v+fGz0YPkIgB3W/7cDeK5Lx7Jh8TzvOf31BIBPgW6847yFqb+e6N4RbjiiPnu5X7qA53nH9cS0CuAvYLaT5Xy0GaVUHhSc/Y3neX+vfyz3RxcIOxdyb3Qfz/POAvgKyEs+rJTiztD2Z+6fD/37IaS3m60JNnqw/G0AB3QGZwGUEPDpLh/ThkIpVVZKDfD3AG4D8ADoPLxB/9kbAPy/7hzhhiTqs/80gNfrrP/rAJzj7WihfTi+11eC7g+AzsfdOtN8Dyix7FudPr71ivZU/iWAhz3Pe7/1K7k/OkzUuZB7ozsopTYppYb1930AXgLykX8ZwKv0n7n3Bt8zrwLwJa/HOuLlkv9k/eJ53rJS6lcA/BOALICPep73YJcPa6OxGcCntNc/B+BvPc/7vFLq2wA+oZR6E4CnAby6i8e4blFK/R8ANwMYV0odAfCfAfwxwj/7zwG4E5QsMwfgFzp+wOuciPNxs1LqIGjb8ikAbwYAz/MeVEp9AsBDoGoBb/M8b6Ubx71OuQHA6wDcr72ZAPAeyP3RDaLOxWvk3ugKkwA+piuMZAB8wvO8f1RKPQTg40qpPwTwfdACB/rr/1JKHQIpynd346CbQdpdC4IgCIIgCEIEG92GIQiCIAiCIAiRSLAsCIIgCIIgCBFIsCwIgiAIgiAIEUiwLAiCIAiCIAgRSLAsCIIgCIIgCBFIsCwIgiAIgiAIEUiwLAiCIAiCIAgR/H+RHt70v01RyAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def init_eps(order, y, sigma=None):\n", + " sigma = y.std() / 3 if sigma is None else sigma\n", + " return np.random.normal(0, sigma, size=(y.shape[0]))\n", + "\n", + "\n", + "def create_ma_features(eps, y, order):\n", + " eps = np.array([eps[-(i + order):][:order][::-1] for i in range(y.shape[0])])\n", + " y = y[:-order]\n", + " eps = eps[:-order]\n", + " eps = np.stack(eps)\n", + " return eps, y\n", + "\n", + " \n", + "\n", + "def ma_model(y, order=2, plot=False, intercept=False, eps=None):\n", + " \"\"\"\n", + " When combined with AR model intercept should be false as that model provides one.\n", + " \"\"\"\n", + " y = y.copy()\n", + " mu = 0 #y.mean()\n", + " \n", + " # create a sequence of random error values.\n", + " eps = init_eps(order, y) if eps is None else eps\n", + " \n", + " # create features by shifting the window of `order` size by one step.\n", + " eps, y = create_ma_features(eps, y, order)\n", + "\n", + " # move mu and epsilon_1 to the left side of the equation.\n", + "\n", + " # This should be added to the final regression output\n", + " add = eps[:, 0] + mu\n", + "\n", + " y -= add\n", + " eps = np.delete(eps, 0, axis=1)\n", + " m = linear_model.LinearRegression(fit_intercept=intercept)\n", + " m.fit(eps, y)\n", + " pred = m.predict(eps) + add\n", + " \n", + " if plot:\n", + " print(metrics.mean_absolute_error(y, pred))\n", + " print(metrics.mean_squared_error(y, pred))\n", + "\n", + " plt.figure(figsize=(12, 8))\n", + " plt.plot(np.arange(0, y.shape[0]), y)\n", + " plt.plot(np.arange(0, y.shape[0]), pred)\n", + "\n", + " plt.show()\n", + " return pred, m\n", + " \n", + "_ = ma_model(x, 2, True, intercept=False)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Autoregressive model\n", + "\n", + "$$ X_t = c + \\epsilon_t + \\theta_1 X_{t-1} ... + \\theta_p X_{q} $$\n", + "\n", + "where $\\epsilon$ is white noise:\n", + "\n", + "$$\\epsilon \\sim N(0, \\alpha)$$\n", + "\n", + "$\\alpha$ is standard deviation of the sequence?\n", + "\n", + "$$X_t = c + \\epsilon_t + \\sum_{i=1}^{p}{\\phi_i X_{t - i}} + \\sum_{i = 1}^q{\\theta_i \\epsilon_{t-i}} $$" + ] + }, + { + "cell_type": "code", + "execution_count": 355, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "16.94434518547299 [-0.13025039 -0.50994881 1.30172139]\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 355, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ItBHJm5tbAFy5Nu+4immiLB+1f9tlEwCfhCiTJOw8iEgWhDMkznLa5VV83yqLJhYp3OtfhSd/Gb78B0s4OqER1cn6QJxkySQLZ0F1B66lYg5U1ZGhfrGZ1roUyfktfZLBONXDFZy6l2QFvo7AbdPdMM//6vXrjfYVT0zb0+0dAF7Zs1Z22uCqISJZEM6QJCtol7cMD1WZJ1uk/U5cTl6Kmk9gEhakOlnvv3C+x7EKjFrAiUgWlkfl7m5YCTd12YkirS+S46xAa7CZHbfoqNWbulcUmiQvRbLXxvLNeePG7uJO8l/7tm9AWw49NydaQQd9FRGRLAhniOl3aRb3PV2K5EVct6icQBUfnvw44eyohOGBiGRxkoWzYNS2zE64XjRvW5aWBYAORwr3SuHZJiJMssUOdslURYueNoV7eOZYb+42zyR3lRHJr3/ofpQT0FIp8YpdHKwqIpIF4QwxcQsjJG4WpSOySNyicpBFJJ8flSC8ywv3vnJ9QJZIdwth+YzalqmYXd1cJGe5Kcqzjopk16zFXRUSJqvlqFYuultE5jjLaMjU9MEaRGlOt4z84XXB8WmpdOUc9FVFRLIgnCFxWowyyddzs9gtJCjiykmWuMV5kZdTuvRd7CQXhea/fccf8rnnr5oNMsFLWCKVkxwQsVvdgWsikgsjkm19JJNsWeROhy4RwxVzkqvnbkRyaxQNyeNDiqJ+J444K+iUcQv8DXBaBKSj4kjhZEQkC8IZEmfFqNfntdQ0sF+oE4A4yefOV1422UA1vNF4wMGdTpwVDJKcKCyHMYiTLCyRkZuaR+xRiuQGmeSsMPuxjmaSgdzt0CFcOUc1KZ+7k0dTcYuWjjmI6t+FjCbiFkYk+/gqlcK9ORGRLAhnyGR3iysjkbxA3KJykMVJPjf6g/74i4MXz+9AzpHqRK5TiVsIyydOC1wyLJ2RWG1S5S0Wt9DZLSJZe126Klo5sTi+QAiNi1w6yW0Vc3NQ/3MWZzk9ayJu4bbKFnCrFTNZVUQkC8IZMlm4dyUOzEYp3LujGQ4nRtnepbnk6pZwIRP3hDNg0lzY2d4mLBy+9GL9FmhTcQv7yAhmr7uSTnLV/s4eOckmptchYnfYzEnetGKwXHB8cHw8nZBkBXmD+MbdhohkQThDkqwYTY16Ia6c5EVEsrSAO2+i4WD8xV2aS67cLlVlkYsMCnGmhOVgajnMe+u/f8vrKeyAx556kfd87Ku19pOVnSLU0UwyoPzuSraAS/IChwxLp2XhnnGSW8TsNnaSY9PRQylwAjydjL4nnIyIZEE4Q0zRhHFEDigL9xbpKRtLJvm8iaMhsS5dqbu0V/JoStlkwZ5M3ROWRJzltMs7cO1Oj81ely2v4I+euVFrP2leOcm3xi1U0KPLCsYt0pwW5TnCbYHjoS2Pjoq4Oax/7ojSgp4KwSu7hDgBbimSV+25ryIikgXhDInTnLaK0SgizGK3FCc5j6WjwDmRxiEHtBg4W3ft1L0qk6yKSZEskQthOcQTd+DwOignoGvX78hQFe4ZJ3laJNvBholbrJhQjLOCYPTc26O/20SNneSuikzRHkyJZMkln46IZEE4Q+KsoGfF5E4bUBS226hwL80LvuNf/wFf+uqEcxn3j/8B4UzQWpMlITEeu86lu9hJNsLCnhTGMnVPWBLxxKRSvDY4AYHKGojkqnDvVpFsBRtsqJDhqsUtJjoiVT2S8bp0raSxk9xR0WiACm6AU17crtoFwioiInld+eJvwUd/6ryP4q4nzgq6VkxR5sqKhk5yP8p46mqfbLg/sfP9439AOBMOogy7SIi1yw370l2bSa6cZI+J97I4ycKSiNKcTtWRwe2UIrmBk1zGLWZlkvHKTPKKCUXjok/ELQDlddhykuZOMsNRKzmcALsoneQVu0BYRUQkryuf+g/w0Z8476O46zG3upLRbbNcOY2ym1VxyYOthENdFgBKLvm2c2U/xCclweWqungXO8lGJPtM3BWRTLKwJMwduPK95bXBDQhIahfZjQv3bs0k42/gkxLHq/W+TfJxZ4+qaA+vTc+KuTmofxcyTgsCkpHgxvGxSydZRPLpiEheV+LDRs3XheUSpwUdK0KVV/EZzeIW1ckhKAZcty+VOxeRfLu5shfhk5Iqjyv6gnHz78LfQzIhkrUqHTqJWwhLIk5zenb5fvKMk+yTjsZVz8tJcYvKWdUr9vmN04JATTvJeF02rJi9BnGLOMtxyUz7NwCnhZ1XIlkyyadxqkhWSv2sUuqqUurJiW3/Sin1BaXUE0qpX1NKbZXbX6WUCpVSj5d/5H7/eZH0GzVfF5aL6W4RYwelSFZOo9vS5pagxk379P17y52v1uJ+N/Bi6SRbXsDlYsdsvAvd5MpJ9lRK5pYFQRK3EJZEnBVjkex2TG9fktrRiFHhXjFDJJcZ3SJardqOW/LYAF6HjoobZ5IdcrA9s8HxsUqRvGrt71aReZzknwPedmTb+4A3aa2/HvgS8A8nvveM1vrN5Z8fXM5hCrWJDyEdnv444UypFjzL6+A7FgluIzERpTkdIhQFWfcBAIpQMsm3myt7Eb5KcLwWL2Q9s3Fw9XwP6hxIcnNy9UlJnfKWsIhkYUnEWcGGVTnJbXBaeDqpHQ9IR5nkbGYmGcBKV8tsmOytPy7c6yzU3cIlHV8kuC2UzrDJJW4xB6eKZK31B4GbR7b9rtY6K7/8KPDgGRybsAjxoWnwn2enP1Y4M+Isp0UEXpvNlkui7Ua3pcM0ZwNz0WNvPwTA/t7Nk35EOANe3A/p2jk4PntJFTNYrUzj7aCaCuaTktgikoXlEqU53arDg9MCx8fVcePCPWY6yeYiVyUDVok4y2+NW/gbtIoBe2Fae0pelBY4OptyksF8dsVJPp1lZJL/FvBbE1+/Win1KaXUHyilvnUJ+xeaUN2Kz8LzPY67nDgr8MjA9tkIHBKaxy16yojkzj0PA7C7W6+xvrA4V/Yi2laGcnx203L5XFKsaW+Y8EfP1B+9ex4k+Vgkh1Y1JOfuu1gQzoY4K+hYsYlaWBa4LVxtCve0nl8kjvskzyrcW10neRS3qAr3Wju0sgO01uyH9Wpa4iw3w1RGIjkAwCchFpF8KguJZKXU/w5kwC+Um64Ar9RafyPw94BfVEr1jvnZtyulHlNKPXbt2rVFDkM4SlGYTDJAKiL5PImzKg/m0vEd4yQ3LNyrnOQL9z5Iom36++Ik326u7IcEVoZyg/HUvSWJw//w0ef4G+/62B1xCzROCywKXJUzVJWTXP99LQiziLOczkRXIBwfp0go9DhCMQ9ZrlEUKF2A5U5/s4xbONmqOckTUZPKSW5tY+mMDhE3a0YuorTAJgO7fP6lSA7ESZ6LxiJZKfW9wF8A/rouL+201rHW+kb5708AzwCvn/XzWut3aq0f1Vo/eunSpaaHIcwimShEEJF8rsRpjoNxMdqebYRVw0zyRukkb25dYECbqL+37MMVTkBrzZV9093CcgNiSmdmSU7ytcOYvNAcRKsvNpO8wCvbvx1W49alBZywJOK0HKhRZXKdVjkAQ9cSdllR4FB2cDiaSS6dZCddPZHctY+I5LYpEt5W/VodLrTWpZOc3iKSfZVId4s5aCSSlVJvA/4+8Be11sOJ7ZeUMv2AlFKvAR4Bnl3GgQrz8YnndvmdTz013iAdLs6VJCuMSLY9Op5DrO1mfZKTnB7mgkcFm0R2h2QohXu3k91hauIzOsFyW8S6vH27JCd5r7yNelDzdup5EKf5qEfyqG+3xC2EJWEKniPT/g3A8VFoXPJaEYGs0NiUj7+lBZzpyuLmqyeSOyo1FwhKmY2tbQA26ddykrNCo3WBrSe6W7hGJHet+sNZ7kbmaQH3HuAjwBuUUpeVUt8H/FtgA3jfkVZv3wY8oZT6NPDLwA9qreWe8G3k5//oK/z0+z493iAdLs6VOCvKPJhL23eIiqZxi2LkJBNskrtddHSw5KMVTuKlfXPB6egE2wuIWW7cYndo3hfRlS/Ax39mKfs8K+K8YMMxRcF7uTnpStxCWBZRmhPoSZFcRQTqDRTJcm3ibnBsJtnLV+scGWc5HWti+AdAa+wk79ZwkqM0x62e/xEnecMpJG4xB85pD9Baf8+Mze865rG/AvzKogclNGeYZOThAZR9w2WgyPkSZ4VxMiyHtmuXIrlZd4temUnG74G/gRv2zcnEtU/+YWEpDJMM0Fh5jOO1lh63qG6jbj357+CpX4Bv/lumaGkFidOCDcecYPfycrGRuIUA8IF/Bs9+AL7vdxvvIs4KAmJwL5gNblVsVi9Hm+YF9ihucUTuOD65cmjpkDQvcO3V+KwlWYGvTLH3iNJJ3qJfa+reqCYGbuluseFkC8ctwiQncC1U5XivIavxrhCWxjDJ6aiJk7Z0tzhX4izH0SnYHm3fJmwokuM0Z9sOzULvtnBam3QJ+erN1XJB1pkkK3DJzW1fv2U6lcDy4halk+ztlQm1FY5KJXlB1zZO8vVMnGRhghc/BVc/v9Au4uwYJ7lmjjYvJp3kW82E1OnSIVopRzXOCgI1UWgHo0zyJWfQwEku28BWhYuOcaiNSG7+vIdJxrf86O/x64+/2HgfdwIikteMYZLTZUIYS+HeuTJuv+PS8RzCwkY37JO8ZYXGRVYKv7tNl5Bnr61Wnm6dibMCH/O7c/0WGotCOUtzUKuTX/vwy2bDCovkOC1Mv2jgelo56uIkC0D/JYgPTG/ihpjsfzwSx5Nty+pM3TOZ5GOcZCBz2nRUSFRzkt9ZEmcFvjWRIQYItgC43x3WyiSPWpDCRNzCOMldezGRfPUg5jDO+P0vrvcwJRHJa0aYjLsgACKSzxGtNXk2vopv+zaJbt4nedMKITAdFVsbW3RVyIt78vu9XRiRbNxSPzBV95nlL0UcZnnBYZTRIqIbvWQ2rvBnN8kL2qVIvppI3OK2c+XTC4nQM+XwZfN31LywOEpzXJ3OEMkpUVYvbnFsJhnInS4bhCvlJCdZjkc+ErMAOB54G9zjhLWm7k05yaPCPeMkd+1soeddXdR/6vk903Z2TRGRvGYM02zaSV5hN2rdibNiYoEyTnKKg26aSVbhaEqU195kg2HtxvJCc+Js3NHBG4lkbymfser3+Gr10njjCn924zSnY5n3dp+ywEjiFreH/Rfg//l2+OJ7z/tIbqXIx2Pao2YtKk3bsgJHJ0YcwiiTHJDUcn2zXOOq40Vy4XXoEDFcNSdZpdNxC4DWNhfsenGLOCtw1OxMcttazEmuuvHs3rhG8S8ehi/9TuN9rTIikteMMMnpMHFyXWE3at2JywwrYLpbeDYJDqqBmBj1SQ42AbCCDXyV0R9I3OJ2kVQnL8DxWniORaq8pTjJVWeL16gr440rLJKNk2xEcqQ9tOVI3OJ2Ed4ENAxWcDrj4Dro0lUMm4nkNNdoTdnbt3RTR7196znJWaHxrXL4yCyR7HbpqFVzkktzZTJuAdDeLvskz3/+mHaSy+dfvpZtKyNcoHCvKjR+nXoBKz5YOIe+qohIXjOGSU5XSSZ5qXzy3fDb/6j2j8VZOUgEwCon7lVjqWuMVoWJiXulSK7+jgfSK/l2MRm3wPHZ8B1S3KWIw/3QnHCmRPIKd6aJ04KOZV6LGJfC8hrFiIQGVGv6il2UfOip6/zi+z823tAwbhGXItgpknHkYCqTPL+wy/IC365E8owuQH6XLlGtnPNZEx8nklvbbBSHtQT9dCZ5eix1x0oXGktdifWH1GJ3DlYdEclrhNa6FFMhfcs0Sl9lN+qO4Yu/BU/W72yYzHCSU+2g0FBktfYVJjkdPRjFLfDN7zcbrufCtIokE4V7OAHdwCFR7lI+Y7tlW6fX25NO8upe4CZ5QauMWxiR3GySpNCAkUherffHrz/+Ar/7sYke/Q1FU5wVgMaeKZLrtYDLCo1nHV+4p/wuHbWASM4zePb3m/3sMcRZ2dv4FpG8Q6c4qCeSZ2WSy9eyZWX8ueFvwnMfaXScu8MUpeBPbpYXQw3vHKw6IpLXiCgt0Bq6KmSfrlkUxElenHCvkStySybZN5lkoLagCNOCdjEcFe6NRHIoA0VuF0ed5K7vmDHjS4lbmPfDG9yXGFRjnlfZSc5y2qoSyR65Ws7rIMxBtaZUXVj1AAAgAElEQVSv2PujH2fcqyaEUkMnOUpznLLV4tG4RUBSK0ebFQVBJZKPZnwBy9+gQ8iwqaP69O/Bu7/LFFIuCWOupDOd5HZ+UEvQT/dJnu5u8VDyLD+SvBM++fONjnN/mNALXN7UMvPiiuFuo/2sOiKS1wgz7AC6hBwULTPWckki+SAqR1iGu3ffyTDcNa5NzecdpxNFE5ZLy7XHvXVriuQ4SQn08BYnWabu3T7iLB9lkiuRHOnlOMmmcE/zUPEiT6lXmY0r5hROMhp4AMTaJVOuFO7dLrLVdJL7ccY9TAilhs7i0YtRYFy4p+qNUs5yjadOcJKDHh0iorjenb0RYTlQeIl53Hgkko+I+vYOQXZIkmUUxXxxvSjN8dSRPslKgRPw9fsfwEI3Pp/vDlO22i4PKdPNZHhwo9F+Vh0RyWtEVaG748bsFz7aCZa2kP7Vn/oI/+K3vwA/8x3wB/9yKfu8YwjLhb+mM2Jumx3nJNcUFMnQLGjlKNVKLOvosN5+hMYkWUHbmsgkB5VIXo6T/Aprj0CHfLZ4pdm4Yk7hJHFW0Cpfi8xyy6z9XXbxfF6saCb5MMp4wDlgV3dN//CmcYu0wDsqkksnuWvntURymusTM8l2sIGtNHncb3SsJGXh9I2nm/38DOK0wNHZdAs4gNY2FgUbDOcuXpy+mznhTDs+VtU/urFITthqe2xFLwAQHYpIFlacKqu0bccc6ha5HSztRPvVm0M+9uwN2P0y7H5lKfu8Y6gW+5rOyNHuFh3PbjylLa9+j1Xf0NJJtpMDdM0iQKEZcVbQscrfpxPQ8R1CvRxxuDdM+frAFMA8npUieYXrCZKsICiFzEOXthnkzSZJCg0YxS1Wz0l+Y3fArrXNoeosVLh3XLFZ166XSc6L4sRMst0y62gRNzQb0nImwfWnmv38DJK8KAdQ3ZpJBthSg7kjF9PdLSac6XLq3nXdQzcUyfthyj1+jj0wTrKWuIWw6lROck+F9GmRWv74Q7wAaV4wTHJeuHrDFJytaRXrTNJwLFZqO8nF1EjQtu+Q6mZxi6JayKqFs+xu0daDWmNaheYkWUGnbHtWxS2G+XJan+0NU97ompPN54qHzcZli+RoH5YUz0mygqCMnrzhgYv0U6vRJEmhASMnebUuovpRxk6xS9G5l92i3ThuEaXFRKxpephIx85rrXdpoXFPiFu4rfKOXGMnuTy/LslJzvLCjNLWs+MWANvM3+EiTieNmgnR3b2HL1/8L/myvo+i4ftod5jwWte0IRzYm3jpAVm+fuciEclrRJVJbukhfd0iUcsZdHAYlfvNy6vtBSYp3XGEE1fHNS8O4rIABQC7yiSXC1+NuEVR6LFbWd2Ca22jUeyoAxkocpuIs5z2hJPcDRwGhbOc7hbDhAecfTQWz+l7zcZlO4W/8v3w639nKbsyuVHjdr3pwW2GhU0Sr5azubassJPcy2+Ste9hr2hTNM4k5xNxi1LY2Q4om7aV1OtukRf46vg+yXZQ1nY0dpKruMUzS5k6l5Qic6pHdEVrGzBO8rwXClGWmxHXMC26/8Z/5sPf8M+ItUuRNrvI3xumPFy2fxte/Do2GPLp52822tcqIyJ5jahuwXj5kAEtIvylLKQHpQjbVOWCcJeIZK016WDiQ9/ISR4vULalUNXVfA0nOZp1+9GySfxtLnDAXigO3u0gyQra9tjh2vAdwsJpfLtykr1hyrYdkbldQsqT47Kdwr2vwo1nl7KrJCvwVAJOwJse2CTFYTBcLdG2tmSrl0kuCk0/TummNyi693Gg22SDZrffRxdgMHaSAdyWmRJXc+LeOG5xayZZlbE1lSzoJGchHFxuto8J4nRSJB+duFfGLTicO5cdpwWtWSK5cwEv6JLgNlq/srzgMMp4hTYTQjde/SiW0vzx55+rva9VR0TyGjFIzBW4XSQMaDEs3KWI5Mqp3KQUyWvaD/EoP/a7X+If/sIHxxtqOslJVuAeqSy23foiOUzG45Anb5nlwQUuqAP2a0xgEpoTZwUtNR23iBueZI6yN0zYtCIKr0uObQqflu0UxgfjkcELUBSaJC+HFDg+X3t/jwSHOBKRfFtYwT7JgyRjiz6OTrF797NPh6JxJnmiH/mkm+r4tFRWe+LeSWOpq0LopiL54GD8HP/fD3xw4bXY9IgGu5jdAg5gW/XndtOjLKdtVy3wpvfnu5a5s9lg/ao0wT3ZFfB7BPc+AsBnnhGRLKwwYZLRoVw4/Q0GxXLaUx1E5gOxY99dTvKz1/sc3JwQFQ0K95wjDrDllot+HZGcTjjJExXPRfsiO+pQ4ha3ianuFrZPN3DLk8wy4hapmahYOluFvZxx11NEBzC8AcVi08WqW8KeTsD2aXk2nheQJKuVkV1bVrBPcj/OuKfskexvv4ID3cFq3N1iom2ZMyHs3DavLC4TxfOvd1lR4J0wlrrqEmRVXSpqcnNvl11thPbHHvsY/8W//P9414e+3GhfYNYYRYE1s3BvC4At1Z+7cC9OC1rHiOSWaze+yN8tLwZ2khdg+1UQmGN78cqLI72wLohIXiMmR1LbrR6H+XKc5IPQLFhft1NuyOOVy8OdBf04H0dMoGELuOpWl1mgm4jkaNbUJMDqXOQi+yKSbxOm7VlmTra2M3KS1YJiNkpzwjSnQ4gqCzIzy1+uU1jkkByCLmC4WG6wcrs8xhPRWq02WRJJp5UzJMkK/s4vfIKDw7L4coWc5H6Uca8y8YrOxQfYp4OTHECD90OUTbaAm4hbfMvb+RPx43z//jvmzv+m+cmFe7hmcI/KmhW4J+Ehl9W9aG+DH36z4k2v2OSf/ubneP5ms/1NnTOcIyLZssm9HlvUcZIn4hZHnn/g2iTaabR+7ZcRv43hZdh59UjAd3WfP352vXLJc4lkpdTPKqWuKqWenNi2o5R6n1LqqfLv7XK7Ukq9Qyn1tFLqCaXUN53VwQvTDBMzkhrAa29ykC3nlm11Zfi1OxML3l3gJvejdBQx0W6nfuHeke4WAM4objG/sA2TAk8d6RsKOL17TNxCRPJtYdT2rDxxbwRm4p7SuRlP25Dq99fSQ+yy2j5V/nKdwniiq8WCkYukFMmuTsatuTpt7CLl5YPVycmuGy/shbz3My9xY69ce1fIST6MM+7BrI+9Sw+yrzvGDW3QXSlOZ8fL+DP/M7+98z/wtuR34Y9/cq595YXGPaEFHK5phWY1vOAo4gG4HdTF17ETPsf3/ulXATRek4/ta1z9f8EOW6pfI5OcE1gzulsALa8sJG/QwnJ3kGJREAxKJ7mMgmwy4OWD1XlfLoN5neSfA952ZNs/AN6vtX4EeH/5NcCfBx4p/7wdmO/dLCxMmOR0lXmDupVIXoLbUBXuva43IQTuApE8iHPudYdk2mIQ3FffSU4nR4KaBcr1SmekxtX7VNxiIqPnbNzDlhpwOFgdR2mdibPctD0rL1QubfjEo24lzcXhXnnrMsj7WEEPz7ZI1JKd5MnWb/3FRHJcZkJdPX4tNrsdXJXx5Avrvy6cF9Utdp2sXuFeP5qIW2y9gsQ1saEm9StxVsyMlwG8/77v5yo78PJn59pXlhd41Ro8o3APr2O+1fSzlgyx/S5ceARuPE3XN0J80HCCXzzpos8Qybq1xTbzxy2ibHIs9/T+AsfELayifuH3XphyHzfNz26/ehS32FSDUZetdWEukay1/iBw1EP/LqAa+v3zwF+a2P5ubfgosKWUun8ZByuczDDJueCYhdNpbXCQO0txG/bDFMdS3OdN7OsuKN7rxxlfs1VwqLq8nAYNMsmT7XfM4ul4TTPJR1oiAVb3IgBp/1qt4xKaEWdl/9bSPb1vMxi39FtAsOwOzXvBywaooEev5RLjnaGTfH2hXVVOsqPHr0Wv28Ej5ZlrDbsECKcSpkZ86BUcS92PMy6pPXK3a4RnKZqamClTQvGISA48hyH+3HUA6VR3C/fWB9geORZ2Xv+13A9T3CLCa3fh4iOw/zxd23yWBw2F4nRE71aRrNo7bNYo3DNO8oxhIkDLM4V7qsEF/t4w4WHL9HWfjFtsMmAQL1bzsGoskkm+V2t9BaD8+55y+wPA8xOPu1xuE86YMM3YKUWy296in7tmIV0wJ3gQpfRaLk48seDdBU5yP87YpE/qbXIl9hu1gGsfWaC9ykmuFbfIxy2RJqu9O5cA0P3FRI8wH0nVmqo8cW/4zvj3sUDx3l4pkp2sD/4Gmy2HaEkFgSOi5cUtqkyyU8Sj18L1fDwy+g0dNOF0wsS87moVC/eijJ4aostMvd2uRHITJzkfD+050iu45dnENUbBZ0WBwwlxC6VIlI+T138tn7nWp61iWp0eXHgdANuhkT79hkLRtFY8Pm5hdS6ww+HcfZLjrMBThXnuSk19z3dsYhzTSaOmRtgdJjxslebM9qtMtttyueCEd6eTXBM1Y9stvwGl1NuVUo8ppR67dk2csGUwTHK2S5Hsd3pEuvyQLXiyPQgzeoED0R5DTIZr3afuaa0ZxBldfUjmbXI9a6EbtIALjlQWu36zwr1RJnnSDWgbJ5mhiOTbwag1VemeKqXw26bwZzGRnOKQmVu+vnGSQ71kkRwvL26RjNpUjQv3lOPjqWw0eEhYPpV7aFWCboWc5MM4o0WEKuMLXres8m7iJKcFbbsqXjviJDsWoZ6/N3l2ysQ9gET5jZzkZ672aRPR3egZJxnYGJjOFmcVt7DaJpM8t5OcFeZu5ox9jS44oPYE2L1hyuvda+Y17T1oBHhriwvWkEGNPtZ3AouI5JerGEX5d7XyXgYemnjcg8CLR39Ya/1OrfWjWutHL126tMBhCBXDJGfTMgto0N0ipPxgLFi8VznJhHtcc+4zG9fcSY6zgqzQtIs+RbDFvm6jw/rdLcZ5MLNA+155kVHjFtdxLeAqJ9kNRSTfDkYnsInfQadtRAELjGTeC1M6lMLH77HZcpfW43zElJO8mCkxdpLHIhnbEyf5jKkcupHrWWQLFYwuk36U0SbGKvsOB5VIbpRJnpxseTRuYRPjUczpomf5ZJ/kGZlkILUC3KJ+5ODpa31axGx0e7DzGgDaB4uJ5GSqcO/WeIjqXKSnQpJ4vuefZDm+ymbuK5icAFszLrY3THm1fRW2Xjk6txFssW0NGK7ZGrCISP4N4HvLf38v8OsT2/9m2eXiLcB+FcsQzpZwJJIVnY0e0ZJE8n6Y0gtciPbY9V5hNq65k1yd7NvZAVZ7m306qHi/1ujROCvGlcVV3MI3LmRRQ1RNt4CbFMnGSfbiZpOthHqYcbnJ1O+g26lEcnPX19yqHvc332y5S+txPqJyknsPLCySKyfZKuJxiy7bx6ZgEK5OMdm6UXU0cPXEa7zsqYwN6ccpG1Y8cpLbWxcASPr124HF6XQ/8klaZdsyPefzzvIC5xQnObMC3KL+6/iVl/fxVG4uDLwO9B7E2zcTLZvmcqe6Wxy5QACgbS4+VDjfmj8a+jPDSQ4ci4TyNakrksOEh7hqohYVrW221KBx1GRVmbcF3HuAjwBvUEpdVkp9H/DPge9QSj0FfEf5NcB7gWeBp4GfBv7O0o9amMkwyehZEfgb9Fr+EuMWKZulkxwHF4z4XvPCvcoJ8LMDnM4OB7qD0gXUmMwUp7dWFgct4yTXGbxwXOEewRY5Nq10vfpSripJVpgBGhMnr17XOGdZ0vxCtB9n3OOXJ6lSJPfzJU/cK+/8DDceXlp3C3sik1y9L5N4dSIA68awvI3t6xitylP3yojkjI5KRt0iNjeNSA4PG4jk7JhRyhj3M8ZFp/PHLU7MJAOp3Wokkl+8Vt7B88rI1cXXYd14Gt+xFirc805wkmmb19WO5ntdzdTXfGbRomNb5KpZd57dQcr9xUums0VFa4tN1q+7xex3zRG01t9zzLfeOuOxGvihRQ5KaMYwyekSgtc1ucalxS0yeoEN0R5Fb5N93SFY87jFYZRhUeCmhwS9C+xTiuNoD4LeXPuIs3xcWV0ueH7pJGfJ/ItSlJS3zGDaWbEsQneLTrSH1hqlZpUDCMtAa21cnomODgC9DdPq6uCwz85xP3wKgzjjkptACgQ9eoHLYW7csmX9Rl+8epUL2uXjux2+3VlsdGzlJKs8mXCSzVoTRash2taRKofaIkEHW6jw5soMdTqMMtN+tBzOcXGzw6FuER/eqL2vKM1pWeXn7MiaNp4SN9+EvFPHUgO5HeDreu/bJCu4sbsHHqPnzIVH4IlfouvZjWNHpxXuVSLZmfPu4Si+MUtwA4VTvyUpQDHcpVMcTjvJwRZd3ZdMsrC6hGlOR4Xgd+kFZRspWFwkhyk7XmHC/S2Tz82H632LfxBnbDBEoWlvXuJAlwthjYsDE7fIQNmjxb5VFu6lc2bKwPxeR4UsRxa72Ntmh/21W5hWjTQ3tcfuESd5qxTJu4fNW5/142zUurFykiO9vBZwT1ze40OfeYYDWryQdk3cYoGON1Um2crjqUwyQCxO8pkRJTkK04Yw80wXiVXpldyPM1oqHjnJlzZ89umQDpr1SQ5UdkvUAiBwrXIU/HzPO80nu1vMziQbkVzvdXzuxmAsrD1zN4mLj0B8wEN+f6HCvZnRuoqWuRSfN2JnRPLswj3zf1R3m+s9/2542fxjZ9pJ7uq+ZJKF1WWY5LSJSifZGWeSF6iCjtKcOCu45Jp9WK0t9umQDdc8bpFkbCkjfJz2NoVfnpRqimRfFVMLVNt3iLVDNuftQihFslXmyo44K2lwQabu3QaqiIEpVhs7yTubRiTvHx423rcRydOFezHe0m6l/6vf+SKbVoj2ejwfd8zF7gJ3goyTrE1/VXtaJCfxaoi2YxnehCufPu+jaMQwyQkwtQyxW4nk1bgo6UcZLR2NRPLFrs+hblPMmZ2dxAztyWZmcgO3Xgu4vNAmkzxhVNzyGKdlIiw1Lhy/enNozrUwjluUbeBeb790ZoV7lZPsp/O9rmmuSyd5tkhW1WtcI24RZzn3ZmWZ2WTcItgiKAaE8Xqdi0QkrxFhktMqjJPccm1Sq/wALOBIVSOpd2wzXtQt87l1Oz3caRxG2WgkNa1tvI4Zu1knix1nubnVN7HYdXyHBLdW3CJMClPtPcNZKNqX2OGA/eF6LUyrxqijg46nTt4XNsdxi6YM4owtu3KSTQu4qGryX6NQ9DhuDhLuD1JU0ONKVkaFFijeizMzNljpYjTWt3pNshpZ+3Phj94B7/pzkMx3u36VCNOxSA6dUiSvSK/kfpQSTIjkC13PFDs3HCYyOdlykipuMe8AjCzX2BTHRi0ACqdFi2T0GZ+HQZLTpjwGd1okv9Z6sXHcYnSBAMfELYyT3EpPPw9prUnyAods3IHiCMqt4hbzF5LvhykPq3KQyPbD42+0trDQqORg9g/eoYhIXhO01gySjEAPweuilMKprnDTYeP9HoTmA7ttmX143R0OaK99d4tBnI+cZFrb+BulSK6x6CdZga/yqQW67dmk2OQ1u1sEVj5dtFeiOhe5oA7YC5u3IBNOZ9wbeDqTvNUzt1r7g+aiaxDnbJWfL1N06yyt6BbKWgU9hKDHdUpxtZBILtigdDDL4RHVhWCWRhTFYsOLzpTBdfOaPvdH530ktQmTnJ5j1uO+VY59XhEnOYoibPKRYHRti9Dq4jQQTHFalG3LZnRkKNuWqTn7+qZFVbh2vEjWTotAxbVEcphktFUpkssLAzYfAifgYf3iqMiyLqZHdHkcs7pbOD6hatPKTn9dk9zs5yQn2RmJ5PnXmYMw5SF1lci/AP7G+Bstc470RCQLq0icFWgNfhGOMlJOsHh7qspJ3lRGBAQbO+zrDvaafRCO0o9Ttiac5FavHNxR4+IgrXp0TixQHd8hxZm7zyeUDpI1O6Nndy/RUyGH/TvPGbuTiEciedpJVo5xUgfD5q9/P87YsCJzS9htmUwyyxPJ/TijrQfYrS1u6NJJXqDDRZwVdFUl6sv9le9NV2cM5xx0cC5UrfCe+cD5HkcDwjTn4Z6JDOzrMge7IpnkLC4NhSqfCyRuDy+tf56Iqg4PExejFS3POMnWHE5yXmi0BlufLJIZOcnzv2/DJKd11Em2LNh5LQ8UzZ3kJC9oHVN/UjFwNunkp5s14/Hxx4tkezQBtr6THG+8cvob5SjyVnE4+r/XARHJa0J15erlw9GVredXTnJzt+GgzLpuaCMC2psXOaBtHIIl3Aq+LXzxt+An3lJrFHQ/zumpSiRvsbm1Q6EVukbcYlw0MV7s2p5Not16IjmpMnq3LnTeppkGH+29PPf+hPqMewNPZ5IrwRwOm9+tGSSZcWaDHii1dJE8jDNaxQCvs8l1vbiTnEw6yZWTVL4OHin9VZ66F5fZ8WfvTJG845l1fk+XBsgKdLfQWsNIJLdH23Nvk1ZRP4YUp9Vky1m9fU0m2dKnD1LJyvOTo/Jj4wYA2mvTIiau4f6GaXFrJhng4uu4L32+eeFeOtn+brawDZ1NNuqIZLJjLxIcr353i4Mw45XWVfLNh6e/0TIieUsNCNeokFxE8ppQ9SZ08yGUU4+89uIL6Wv/8Ef42/Zv0C3MyaW7dZF93UGhIWlerHRbufwYXPv89NSxUxjEGffYpUgOtrin1+KQFlGNvp9x1c5nYoHqeI5pzVfXST6m2ru9bSYgxgciks+SOMuxybF0PlMkx1Ezkay1ph9ldBmOBOdmyx2Pi11QBBWFZpjmBMWAYGObm2ygUQvHLXbsKm5ROcnmeN1Vn7pXieSrn4PDl873WGoyTHI2bPPaXssXv0u4LMI0x+dI9ACgtUlLh7XMCShrOTimu4VnETNfb9+s7Ehjc7KTrNw2ttIk8fyf4am4hTvxnC88woXkCnHDAtYkP10kR84WG3r+uIV9gpPsVhNg68QtBgNewQ3UZPs3GDnJmwwa94leRUQkrwlhYk7iThGDZ062Qau6Jdf8RHvx6kf5687v0c6NI9Dt7dCnXBTulF7Jw7JXZzr/LfF+lHHRMfluHI97egEHukPcn79aO8nyW9rvtH2bIT6qxu8kSss+ybOc5N69AGQHi01RE04myQr80UCXiZN3eSJPomGt6viK0fhzPRxFFzqeQ6KW4ySHaY7SBX4+wGlt0W0FDJzNheIWSVawbY+7cQCj18FTKy6So4NxRf4dFrmI0pyebd6DV7NS3KyAk9yPsvFY9QnBaLWqOo56kYtZ498rWjVGKY9F8smFe6oUiklYQySnOZvl72LKSb7vTVjkfEf2+w3Xg3w8pfUYYRt7W2zOI5KriJhOj92XF9SPW4SHe1hK45bnnhE9M433VeqltRooIiJ5TRgm+XihqkaDttoUqIUqoJ1swIPqOsGVPwZ/E8txSLzyxLisqXtZAr/9jxaeBHYUrTVZXkBYur/J/ItgP8nYsYajq+N7e6bvZzaY30lOc11WFo/jFp5tEeNj1SimDNPcONKzFrpyNLVecNSwcDJxVt4Chmkn2TJTqxydcHNQv3iyui3bKgYjwWlZCqtyeBbsXjBIMjNgCCDocV8vYF9tLdzdYsuKRvsERu/NOyJu8fCfhvbFOy5yMUxyuqUwu5LUdwDPisN4RhEb4HbN2jk8uD73vrTWRGl+Sz/yimriHnC6SC4qkZgf2yMZQJUiN43nj4YYV7/8vLsTIvlr/iIvbn4T/9h5N9HVp+feX8U8cYvE32aLPvkpBbJjkXz8MBHXr95H8zvfw4F5nYJ2Z/obrS36vdfxqPXFtRpNLSJ5TZgSyWXcoteuhhI0zEvm2Whcp/3cH0LL5Bl1g57BJ/LiJ+GjPwGf/c/L2V/Jbz35Et/8f/4eeb++kzyIM9NxoMxZ3bMRcKDb6DrdLar2OxMuhlKKxAqw8ppOMukxzeWNW1MnKy3U51gnGShsH4+MK/v1BcugPJkExXCqUtyu6gkW7F4wiHM2GBfZ3dPz2dXdhS5wk6xg06oyyaVILu9ymLjF6rYj1PEBh7Th1d8GX/7D8z6cWoRJTscyr+0LUf2uBGdFP8pm5nODDdPTd//m/BdkWaEpNDjHuJ+ubZHOeZclK+aLW9jlMWc1IlNhmrNhlfUJkwLcsvnIm/8ZORbOf/6B2nU7SV7gnyKSM3+bDRUSneJ8j4b+FOmxItkPjEiu07c/Csv5AX7nlu8N7v2TfLP1FMNofbotiUheE8I0o62mJwD1AtNvNUsanmiTI1fWpas6avu0rDZwu+WY3JeW2+T/Cy8dsh+m5P3SyajjJEcZPYaj51pNkLLmfM55oU0j+xnTjhIVYOf1CvdcZsctKpHSpB+pMD9xluOrSiQfqbp3fHwSrh3WzyFW0QQvH0yJZHckkhd0kuOMDTXtJN/MWwtd4MZTIrk85vI97pOtrotUFKikz79/fJds53VweKV2XvY8idKxSH4+WrwH/rLox9m4Z/BEd4t2z4jkw735neRxP/J0ZncLYGwWnBIRSKtM7mkiuRR7eTy/iRJVInnSRS6xth7kHdlfxr3yCTh4Ye59gnGSg6qOxZotz4rSGIkPT35d0zkyyX7pJCc1LhDiYakLqh7pk//nA99CTw1R174w9/5WHRHJa8Iwyce3VSuR3HIJ8Umjhu2pSpH8srpkvi5dVVX+vSwnObtpRHL+4hNL2V/Fjb5ZuFVYOcnzXyz044wN+qMLg8C1Ce0N3DlbGlUL1NG4BQBeC6dWJrnAPc5Jth0iq92oH6kwP/EJTrJyfHxSrvXri+SqwMVND8fRBcCtXJpF4xbleHUA/B739gKuZwF6gQvcJCuM8Hbb4/e2PeEkRysqPMtC4xupz3PJBqBN3+Q7hGGS07GMMNzPA7TlrkSf5MNowqCZEI0bW0YkDw9uzL2vuGwf6BwTtwDQ1Tp4mpM8Z+FeJZKzGiLZ/C7iqYuCio7ncFWXeeyamXFzMX7CGGmgCMzrmp5Sh5LM4yS3yqhJDSMtqfTEjIuY4sE/BUD75Y/Pvb9VR0TymjBM8nEurIxbbLZM3CKrUSnGszEAACAASURBVLU7RVkJ/uHg283XpWB0O/UHa5zEE0+W4vja52tN/jkNkxHV2FFZbFencC/O6Bb9sWsOpN4WwRxN3GHSEbm1/Y7tdXCK+cRPlhcmtqHT2U4yEDvzi3ehGSeJZMtr4auU6w1EcuUkO1l/ykkOWstxkofJRCvDoMe9mwH7NWNDR4mznJ4KpwcJVC3gVLq6hXvletanzad3y99h/87oCqO1JkxzWqqcuIeHdoIVdJLHt+C3LpTtKWt2BIJy/PsxQrHdrj4bp2WSjUi2TskkV/MEilrdLXI6Kp4u2ivp+A4hldNf79w76oh0jKgF0OVo6qx/8gVe1d3COqFwr+0HFFrVmgA7Mt1muOj+pdfwst6id+0Tc+9v1RGRvCaEs5zkwCHGI28sko2T/JXum2HnNVC2fPE7m6YgcAk52Pd+5grh1WeBcprZ9S8uvM+KG4OELqHpqQm14haDODM9PivXHNDBNp5O5nIHposmphcot9XFm1MkVycNVx/jJAOZu0FHr1dvylUjzorRSOCjDorlBLSsjOuH9S/w+lGGR4qVJ1Oi028tpw+uuSNSRSM2uXfD54AOKj5s3Oc8yQvjTvtj57t6j7etnMMVFclR36xXfd3iIy+XomnJxcJnRZSa31WrvFCL8Mgtb0UyyelEJnlCJG+bouK0RkegqHSSj062nGS7V00bnLNw75TuFm4lkmuMKg/Tciz1DKFoRHK55tf8/CZZGbc4wUlWHSOS89NEcnnuUEUK1mzR3Q4cEhyyeP7jHJluM+IWbd/h48UbuHjzk3Pvb9URkbwmTHe3mIxbeBRNT7TldCoV9OAHPghv/T8A2GwHHOr2QrdswUzu+d9++Qle497gyeJVZuOV5UUubg4SttVEL+caV/VRnJhiqgkn2ersmH8MT3dGpvJwR1wBv9UlIOFwjlHS8RxtfAp/kx5DbgxWY/rWOmJGjB+fSd6w80ZO8iCe6D7hj99rrbJyXC8okodJxkY1HS/ocd9mMO5zHje7+xCnhenrPBEPqU6YF51wZbtbvPiycY03ty7wkaulaLpDnOSwFI8BMYXlkmOTWcFqiOSyu4W2nKk1yvE7JDjkNcyUcbFZfOyds50t8747bSBTFbewTpm4VxWg6RqRAzNxL5ruC13S9W1C3dxJdo/piV9hlx2NilM6LY1F8vHOdNd3SHDJa9yRKCqzacYFQttz+ETxejaiK7BfL4+9qohIXhPCJKOjjnS3CEzcos6Hf5I0NCfRCzs7xuUqP2ibLZdDWmTDxW7xf/n6gGGccK++zoeKryO1AnjpMwvtc5Kbg4QdJkTynE5BnOX4ZV/oUbEijEZTp/3TM3ZTPSqPLNDtThdLaV66efrJo3JWnGL2BCpzjJtsqkGjFmTCfMRZPnaS3VtFcsfOGsctuupIERxjkdw4KjXaf35LJvmA8uTWMHKR5MVUX2fAiIV738SfUp9tPG3srHn5mslwfvvXv4Zr1eTBO04kjyc+JspbiT7Jh3FGz4pRbgeUGn9DKQaqi6phphiRrLGPTrac4GIpkvcPTx5mNepuMSPyNolfzhPQNdtyBic4yVFDJ9n0iL7VWJnE7ZYdjYYnn4dM3EKj8hOiK+WY77xGd4ui0hNH10HAthSfsd5ovnhhPSIXIpLXhGGSs21PVxhvlk5y0+KOq9fN7ZxX3DvdNHyz5dLXrZGIbsq1w5j7uImlM16y7+el1uvgpeU4yXmh2R0edZLnex0Gcc7mxEjqit6OKWC8ce30E+s4D3brrbPuhlnkX75x+m3IkbOij3cXrPYWPTXghojkM2O6BdyR24yOT9tqJpJNi7ZbRXKnYz7DUcNJfhXDOKOnQrTtgRtwseubFmjQWCTHaUFbT3fjAOB1b+Xrii8svC6cFTduGlHxrW96Da7fJrS6C/WLvp2EZYGnR4zy2ljKRC5WwUkexBkbdjrTVQ3tLk4y//ssTssBTHCssLt326yfNw9O7mucjdbgk51kr4o21YjjhUlOoKM5Msn1C/c8To5b+EGLA90aF6Qfu68Cm8LcNTpmfx3PIcad+45VlhfjQVgzLhAAQre847qs7lfnTGORrJR6g1Lq8Yk/B0qpH1FK/ROl1AsT279zmQcszGaY5mxWIrl8824EDlHNwRWT3LhhPoSvesURkdx26dOiqDlJ6SjXDmMeVOYkddO9j8v+64yT3DArOcnuMEFrpp3kOQv3Ru3fYCpusX3BvA67N07PMY6c5Bm3ujY2zD5v7J6+iMRZldE73kl229v0GHKzLyL5rIizYtRZ4JaqeycgsDKuN3j9B0nGBefIiGeg12mRaavWFLBZ9JOMTStEla6vbSmsBbvTjJzkybgFwGvfikvGwwer6SDt75r1rL2xzVtes2Pc5DvFSU7MeuLrGOUE3LMRMCzcpYjkF/ZC/ulvfm4UEavLMMnZsGYXsSVOz3RumZPpoT2zTYF7d8z6eXP/5PNPWsYtFCc7yU5QfzJtmOb4RTQ9krqk4zmEunKS631+k6zsZHTcXUPM1MFdvYEdnR63cCnv6tizn3/bt0m0Q5HOt3YdRBmtqkhzRiYZQFXtK1fgLscyaCyStdZf1Fq/WWv9ZuCbgSHwa+W3f7z6ntb6vcs4UOFkBnFGz06Mi1z2Vwxcm6Fq42TNTrR7+8bpfOV990xt32y5DHSAjuZf/GZxvT8WyXv+/TzrvNbkJPeeW2i/wCh6sK1Kt8H25nYK+nE2dpIn4haX7jEi+XBvDpE86SQfWaB7G8aBuzmPSE6rjF5yrJPsb2zTJeRm//xdpXUlyQq6dnnCOXpycHwCUm4OktpCox9nXHTLE9SEM7vZconwSBeMWwzjnG0rnBK0fnex7jRxmhMUg6kMNQCvfAuRCvgTw9Vs/zQ4KO/c+Bt83QNbvJj3KA7vDJFcjfl1C3OL//6tgEHhLKW7xS8/dpl3fejLfPGlZut5mOR01ezoQe73aOWHc49ojtLSSYVj4xaVSD44PNlJzov5MsnV/zOvmVR1GvGOcZJtS41fixpCUWttMsmnOMktz2aXDZzo5DuRRiSf7Mp3/dJJnnPi3kGYEhx3R63Equ4oNB1itmIsK27xVuAZrfXi6kZoxCDO6VnRLX0bU6eDl88/bnNqn/u7JDh4wfSHYattMskqWUwkXzuMecS/CSgGrVfwjHpl+Y3FO1zcKF29+9wBORZ07537QztIMnpUInksBC5dug+AcP/03qrTPSqnFyi7zIzvHZwuUqI0xyZH6eJYZ8XrbGMpTf9g/ipyoR5xltO2qpP3kd+D7eOVJ466ufB+lHHBqWoJJpzkwIjkRTPJg9g4yZPv42oSWtPboVmWEhThrXELx+ep9jfxjcknYE5RdLvIC00y3EejwOvyygstrulNsoOXzvvQ5qLKJBuRHPCKzRaHmbNYn2StIdrn8efNuvHs9Wb99Aejdmi39gzWwRZdPZi744nJ5JYi7JQBGAf9k89raTFf3AKlCPFRc7rycVagNbh5eGzkYDxWfv7Pb+V8O6eI5MCxuak3cOOT1/s0n3SSZ+8vcGwSXMjnE8n7YUpLxaazyjHDTpzRc7/LneQjfDfwnomv/65S6gml1M8qpbaX9H8IJzCIs1IkT9/+SZ0ufhFCUb89WDjYJ7ZvvZ1UZZKtoxP5anLtMOY1zg3YuJ8gMEMOgFsn/TWgEisPBxG79MzrMmfh3v/P3psHyZKd132/m1lZmVl79fb67W92LAMONgLEIhDEQpGWTIsiZZuiSMoKByVLNE1ai8lQ2CFblkMUTTkompKDS1ASaYVkLrIokSBMQwAEMLBwBhzMwsHMcOa9eXvv3bXnev3Hzayu7s7lVneP+QC8EzHxpquqs6uyMu8999zznW8wCTM9yRWngU9Fq3AvVRSFzKgsTpTIfr+cJOtMGmlzl0lJB6b7OD78MJ52O8vyJFtSXW/zdt0beiHdSppvvk+SUyX5xCTZD5NM4/1jN9spST6ekmyF+7nLh3G1827OyTXYfvVYx369cGtnjBuPCCp1MAwuLdTZkB2M4esUAffpfwDP/+vy12liv4B3AlZNpZSEJvIkSvJLH0f+5MOsX1eixK07a/Dcr899mLEfJkkPGd3nXFVUvKl5X3gHUmRyEh4S5Xc4LL430nQLERfnJAPKlqi54Bj7SrgwZbYPG8CyXRWTOgdRTK11Ku4zv3DPrZoMcTBLdogP2i2yj2cYgkhYCE0leW8c4OAjc1RkgLpjMcHWnm/vdZyYJAshqsB3AL+aPPRPgIeAtwJ3gJ/K+b0fFEI8KYR4cmPjq6N44l7G0A+p402TLVLE6ep+TuLZnwQIv09sHVUH2q7yJFfCk90EG6ndonOJhl1hx09W+6ewAt1O4tDOVodsxw2kVdM+7sDL9iQjBEOjhRyXK7YHMyoPqRiJ+jAoqc6GlCQXqwGpJcSfI4/0PuaDF8a4eUpyxVETJsxdvDfwQhaNo6Sz7Vp40iqNuSrDME23mD12d0E1EBge73qZ7kzZR0nyrcX3qP+59pljHfv1wisbA3Ueqkr9vrxYY0N2qASDuQq2tPG5n4Vnf+3UDmduvYhBTCX2oOJwtu0wjK3jx3sCvPZZROTzdv9JAB54+Zfg1/4S7N2c6zAjP1I+1QzCaNUXaDFio6er0s7aLfJIsnp8NC6ef3QL9wA8YWNGeudylGYkQy5JrtsWvrDnUpIPtOQuiICzKwZjaVMpeb9+lDQmgdycZIDQqM6nJONlJlukqFVNJsK+ryTP4NuBL0kp1wCklGtSykhKGQM/D7wr65eklD8npXynlPKdy8vLp/A2vr4x8ELqYjydBKZIf/bms0a8vD6gwQTDPkqSXctkLGpUo+GJiuw2+h6r8VpCki22/WS1fwrFKGnSw6IYsEODyHS0B6zUkywN68h2mme1MDS2qfftFhlbZ4niMhyWe/XUpJEqK/kRcADR6GujmvhehB/G1EQSSzUbcwVQsTFjNcnMW7w39EPOsQ6N1QOkQBXdVk+ck6wWzwf9w2faNQa4jOfohJYijGLsaD93+TDixjmgvNHB/994ZWNAQ4wxXfWeF+tVemayyXnaarI3UFYWjTx1LYy2+fCn/izfa/6/mOEYLJdzHVctovwTjJVJJv0HjGdZado8svdZ9ficxYxjP8KV2UVsdnOBiojZ2dVbkE2C2Z2zHKJomETCJPBGU4U9C2kEnCiJgAPwhY0Z6Z3LcboogFy7RcOu4M1JFIsaUM1CCEFgOKXv1w9jamYyPxe1uTaqqpmRBvbGAY7wcz83zKR73CfJU3wPM1YLIcTZmee+E3juFP7G1z6kPFFL5qEXqoHq0MpWpBPZnCT5pbt96oyxau0jzwkhCNMB8ZjWCCkl2/0R3XATupdp2CZbXnI5noLhf2vg03Yt6nGPbdnEN1zt7Z+hpzzJ0mkfIUSR3cENe4WDM8xkVMYZW2fJAGNFE3ZGQeFx1KSRKsk5k0ZCkuPx6bQJv4+j8MIYxwizi4kqznS7cl4leehFrEZ3p90sp4c0DYJTyMEdeiG1+KCSnGYle8fYeRj6s7nLzSPPu26dUBr3XAzcWm9C2xhjuupeEUJAM0ntOe2ue72kicL4lEjyZBdDRvwJ41mMyAPLZbXt4J0g3hMpp5n07zWe57sfDHkofEU9N5xvgTPyI+yMuQeg1lLWnv6O3m6xF0YzUYtFxM6mSsit3fzPn3bcExpKsi9sKnOQ5FrakyBXSTaV5WAuu8Vs46h85RcgNB2skq6tXhhTq6QkOf94sVFV6Uka6E0CXHyMDGtNCpXuMZ+Kfi/jRCRZCFEDPgr8xszD/0AI8awQ4hngW4AfPcnfuGcQBfDbf3PurShtPP8b8JMPwTFj1UZehCvHR+wWFfd4SvJX7vZpGRPs+lGSDBBZxztuiqEf0Qk3MIiUkuxU9pXkU7Fb+CzWqzjBLjuyiSfmV5LFjB85hah16YghtwsGZ1Cr+EpaWXx4qyvxJLvCKz2OF0b7W2Z5248JSRbefZKsjShAxjG/9tRNLR+xF0a4IqdVbsVGyIi6JbW9lykGXshyeAe6l4++RVO/mCgP44mPe6jxx2rboSfrBMP5dx4G3kwHv8PpFkDDsRjiEIxOVtR72hh4EW0xOUDsnW6i55x2DNzeDfWvhi1LC4kd5BuNFxHBUCnJbZcJVYzjXh+9WzDe5mnrCepiwnft/tL+c3MuGkZ+qOpeMohTSpKHPb0FgxcUdLacRcXBJuDGdv6YPo2AizWUZNNVfm8NjGftFjmK6rQ19RxE8UADqryxPkFoOKoOomAn1480lWTTVulJGtgbB9SEj5ET/wYqVm4k741GN6eBE5FkKeVISrkopdybeez7pJRvkVJ+g5TyO6SUd07+Nu8BbLwIX/w5eOXfvz7Hf/l3VfzZ1h/N/atSSoZ+iB2PjqxsUyU4mlNlfGmtT7fiITLUIpjxOh+TJG/2PS6KZDDuXKJuV/BjgTRPZ5tma+ixULOoejts01QeKd0IuElI1xghnKMkwKov0hYDbuyU+8GmJDlHSXbxubNXogYE5YV7KUmuBr3pQHsfBfBH8FOP8dLHfoa/8atf5je+VL7w9cMYFz/bi5dMaGfrxtxKsjeZ0A42jijJAJHhKOXwJEh3emaV5GbSde8Y6RYH2mhn2C0aToUBLtEJM9TZeBF++q2we/1kx0kw9EKa4mAiR2vpAsDpx8Cl7XhH26eT8pEQra4YIIbrYNVYbtp4VBWhOkZRdqoi/8z424gxeWjtd7gtkyYQczZY8XyfivQz0y2MWlpUXF7sDIn6aaTjZj5RNCy7lCRHU7tFeeFeaDhUY83CvSCiRqok59stlJo6f+GembX7eAhxem4KFkn+gXOZfzxpVpUPWgO9cUDdDHIzkkEpyUNZJb5fuPd1htS3dgq5lJm48UX17zEygsdBRCxRN/khT7LTUIPUaDAfSb61O1aTYYYnGUCmf+eYdouNmYxkOpdp2mqlLyvOqSnJF2oBQkbsyCbDObZ/Bl5IxxgfyEhO4bYX6TDg5o5OZXEZSfa4s1emJMflhSx2C4mgJUbsjO43FCnF2nMw2sL8g18G9CwS06r7HLsFwLmGmMuTHMWShfCu6oiVQZJlxcGIT0aSzTSmcTZezq0wEHUMb34iO/BCWiLfbtGwKwylQ+ydMKHm+udh5yq89PGTHSfB0AupHypgXDpzjkgKhlu3TuVvTJHuNsbBqST1HLGJVRxMQ2ClTRs0kwkO4M4zSASfCx9jb/EJAD4WvZvArM1lt/DDmGqqwGapqskCPtAsEvXCiEYlHe/y1U/DcnCNsFCsSAv3dJTk0HBUvJ4Gxn5ITaRKcrbdolatMIyrBN6Qjz+vFzO43131aGzoYUSV8pg1P4xxzHK7BRVbLXI0sDcOqIug0JNcq5pMZBX5ehTE/jHgPknWxSAhdK+Hz2a4BduJH2xnfpI88EIEMdVodITUuglJHvfnU42GXogjx5kV7AAi/TvHmGgh7ba3iRQGtM7TcNQgFlfcUznH20OfC7YaQHZkg1Gsv/XVn4R0GB6If0tRay9TFx53tooXHQcyKg/bLSpVpFGhbvjc3i1edKlw/VRJzhnoDIPQatJiNM2Hvo8C3PkyAA+HL3NZ3NVq5+2HMY70c+0WAGdq83mSh37IxZmF4mHIiqPSDI4JP4xV0w84QA6FEARWc65OaCkGk3CmjXa2kjzEPfYO0xSpgnztsyc7ToK+F9LgoO3k0lKTbVqMtk95s7M3Q7pPo3gvGbdikvqIhKA4tYSgHcdycfcZdpyLTIRD9bGPAPBJ+XYGle5cSvKBIrYsf24iNEQj/cK9mpEQuwK7hag4NMyQ3QJRILVboEOSTQdbapLkYPYz5ynJJkNpcfXOBn/5l5/SsnRNi70jv5Qkx5XyHGY/jHGNcruFirDUU5KV3aI43aJuVxhhE98nyV9nSJXkU0heOIKbMx2qjqEkD738SJp6S1Vwe3P6D4cTP/GZZSvJaQHMcSdDRZLXiRtnoVKlXlWDWGQ6Jz7HcSzZHvqsWuom3RMtenFVHVdja7I3CWgwPBj/lsCoqfO5tVns2zvgSc4gt8KqsVgNSgdPL4ypm+Xbj5HdoiWGczez+HqEvP0HjIWaZP5i60vqnJVsjXthTDVPSU6+lxVXzJWTPPRCLqWWowwlGcvVVreyMPLDmSK7g4Q2rrZxovnv3WHiSZZGJXPLtWFXGEhHJTycBOk4eO2zp2JZGE88HHnQk3xpQcXAnXpDkdSTDKfjS07Uwq8Yj6ifE4LiuvUDz88DefcZnvIv8oFHl6m/7y/Dt/497nbewQ7tuUjyKAipFxWxpUKDpt3PCyO1nQ8lxK5KzQgZekXpFjNZ9SUkOTJdqpokeeTrRMApu0WU5JzvjcvH5dRukdWA6jCkjpIcxThGccc9AFGxVStsDfTGoeq4V6Ik30+3+HpEWtzxeijJN78IwoSlx46lJA+9cMYjdZDUNhOS7A/17RZBFO+3ss6xW6RRSichyRfFJkZSsJQqyaFx8ptrdxwQS1ipqIk6dBboRQlR1fj++uOAhhxk2i1w1fksq9YuDXK3XJpmSG9SPDh5YUS9kgx0BcUcwmnTZsiaZh7p1zN6V5/ii+Ej3O28jY/En+WtW78NP/lwYSMFP4yV0lTgSV52Jdsjf7rNW4ahF3JRrBMZFjTPHnm+UnWoSp9rx+yEdqDI7pB/WLhtanI0t591kHiS42rzaBQeid0CFyM4oR8xHQdHm6fSgVN6R20n5zoum7RPv6HI3i0V6Qenk3CR2C2erL5T/ZwQlHpdjc1zxwSOdxG71/mSd5HvevsFqC/Be3+IS8st1qLmfCS5jDAm57vi97RaU6s88nS8Ky7cc4yQQUEnvzQCjjgCs5gkxxUHB127RTSzMMieH9uuxZgqXUu9v71xecfBA9n6JSR5Og4VpJsEUYybCiwFiwSjovzdUiPOVTUT8Uo9yRM5X9HivYz7JFkXU7vF66Qkrz4OK288ppIc0khv2kM+wW7DZShtojkimZR/L91SzS7cqyYkOT5mgc5G3+OSsYlISbKdkmT9FIo8pI1ElgxFkmVtgd0gIaoaW0DBZKBU4AwlGTcpbimZ/PxI7sfvZAW5WzWahs/euDwCrqaxZWbVuyyYYz73ql6BzNcr1rd3qe29zEbjDSx/0/dwMbjGjwz+N5DRQQXwELwwUmpLVqepZDJfcpXoua3pCx94ERfFOpP6hcwWrw+fP0NNTPj+X/zC3J38QBGYfSX54LVcSQqq5Jz375R459iw2q5KtzCDU1CSL79f/f8pNCaRqbI9M55ZpsHQWsSenGIzKymV3eLsN6ifT9Fu8WX3PWosaajoukZDfZay9sxHsKZSWV+1HuSjbzozffiBpTo3/DpyHpLszRSxZamLholXaVCXA3oaRNELZorNihIeKjaOCBgWkeQ57BZxpaZtt5gcKNzLVpL/o284yzseOsdCVX2WMjEE1ALBIFaFhiUk2XYScl6wQFJ1FOVzh1lV45fnlXObvXFAVU6yx8EENdtM2nzfV5K/vjAt3Dvl1VEcwa0vwYV3qRio3etzN+gY+mHuTduuWQxx5yKz/UlIQyQXeM5KuZpEwwWj48WO7fQHrLAFnUvAPkn2DefEC5HUl7s8uQZGBVlfYSdIu/lpfH9pu94MT3KqJFf84s/thzGumQzSWSqGVaNu+PRKSLIXRtTM8knDcDusVj0+9eIGcXwKFfVfo/i5X/t3WES8/5s/gvn4dzIx63ws/iY1iRbcI14Yq+3YrO8gIV5nDPX7m31NkjxRdougeTHz+c7CEhYR/UGfv/IrT2kd88Dx00QHOKIk2w212OvvzreoGnrKwiEyki0g7bZ1wm6cwVjt3D34zdA6j7z2e8c/VoL9AsaDi36/vko73DxeQkQWRlvK1rX6FvXzadgtEiV5s3YFfuQZeMOfBqDdVGPz1u58Y/B4Uwkxj7zhG3Cs/dSHy4s11uOmKtzTnINGs0VsOXNFZCkr2MagfFz3woiaoWG3MG0cUaIkT7Pqy0mytFwsEWn1Khj5EU3DA0QuWWw5FpfOLE0bfvQneguE6e5jQdEiQD1ZIEUFbev9UM9uYSSq9GhcTGrjWNKb+FixX6okj6mqNt+nke7yx4z7JFkXUyX5dFdHwZ3nVAX0xXep4p3Ih/58hSQDL6KRY7doJZFMco4Cu6Ef7h8vRzFq1Fwm0iIYHTPqqXcLAzktWErtFp44+TZN6stdvvMpuPw+Go0WW74+STbSvOFMJVmRZMffLdw+9KMItyij0nKpCx2SHFMzS9pSAzgdOsaYzYHH87fvrUYO9wp6k4DRa18CYPWxd0NjhX/+3o/zX/n/NdJuFRahemGs/MFZk8P5t4NhcW5Htffd1fAfgiKxF8UGcUbRHjC91n74vYs89dpOYZFSFkZetN9e/dB97Cb5tdvb86moAy+iJSYYWfcGqigwrjZUEfFxJ8jdRNHvXGZt8RvZev4TPPF3Ps53/uPf01LkDiOKJVZ4VEkGiJoXMImhfzq+5F/5eFJoeJokORgTYWBZDrTOTXcdOm31nW7vzne/X72pCgs/9MQjBx7v1qpsyrZSMjXjAUcacWix06HNkA2NxaMXJE17oMRuYVMlYOQXd9yrpgynjCQnZDfSiC0bBxEtw1eCVMYO0BSWq4gilI7zAF402zhKjyQPh/nf/UGSnJ9uYSYkeTwq/uyjIKIiI9XboIgk2yYjaat24NH89+u9hvskWRevU+He01/4JACf9x/Ybygwp+VimLakhiMeYiEEY1HDmCOKaDCrJOd4kpuORR+X8JidtexBEpN0SEn2TsHwv9abcFGs4ey8BI9+G51alU0vGSRL7BZBFOOEiepU4EluyAGTIF9tCUK5v22YZbeo1nCET69EYdDefnRUIZYQ8MkXT9lj+TWC61sjHhev4lvt6eKs3WoDgqja3N9BOAQppfKYSz/7O6jW4eK7WVhTW/s+4QAAIABJREFUiudeSRfFFP5gm44YIrKK9mB6/b1F8VleuDOf/z+Na4uN6hEvdbOjDrqn2Qlt/5gBbWOUa8MCENUmJtHxoslgOv7JziV+dfMKS6LH71r/Ld91+6d45tXbcx9u6M8q6gfJvWwrFT/azbfazINn/vAP1f90r4DdYri7Tn8SKNvFcXfIghETbFz74DjSaqrvYDScz24x7ikC/MD5gz74tmuxJZPFlKblYqxRxGa4bVpixIZW1GKEIyIQRrGPuOJQxS+2W8QSOxUqSnKSU9LnjzVIsh/RNItbM6tj1hBxQIXy2hMAL4hm6liKSXKrpa7jfr+AJEcxtgZJtuyEJE+K58aRH5a24wZou1XVbRC+JnzJ90myDuJ4PzvylL/0YOsakRT8rd/dZVRT4fbzFu8pD3F+IYFn1qnM4REcaHiSG06FgXTn8jqniGNJc5zEJCUk2bVMDAGTk7RajQK4+xzP3NrjO9xn1GOPfRsLdYt1L+3mVzwI9ichLZHGZmWoZXaTWJh0xEBNfjnwo9mMymy7hSsnDLywsNDLCyNcQ0dJbmMEQ952vnGfJOfg5s6Ix41r+MuPT4vOFupqMA8qjVy7hZ98P5XYy/fiPfRB3K3nWWSv1GeewthT97m5eCX7BcmC7KGGUuBeuDPfvZamW8iMe7jTXQZgMLfdIlKEM8duAWCkfsnjZgQnJPlL/Tb/+8YTPPXoj9C59Dh/ofIJWp//X+c+XGoRAY6MZ5WuIsmj9avHe68zkFLS9JQiHTTOId0On/nyS/z9j30FfuHD8Kn/5XgH9oeMsXGtg9N16kkeaxC7WYTjXUbSptM8SHRarsUmyZinSZJHsy2aczKDK/UFOgw0O1vGOCIoTPJRB1WxZUV2iyCKqRcJFTMQCekLJuXX7DiIaAgvd1EwRUK8m2ao58c+UOxdTJLbzVRJzn+/fhhji/LjVWz1PicldouRF2GT7AYURMB1a6poEbhPkr9uMN5WhT1w6naLSv82ayxwfc/np5+cAOIYSnJxtW1Qqc/lEVQV7MXVu81j2DhS7I0DzrJBLExonQeU4q1ic07QzvLpfwH/x/tYefU3+FPVL6u0kIUHWazbDOLkpi1RknvjgDbJucryJAtBYLXpMChUgf3ZKu0cu0UaOVTkVzuw/VhCkgE++qDL0zd270fBZeDWxjaPiRtYF942fWyhrs7pxGzk2i3SkP9KnKMkAzz4IQDeZzzPriZJFsl97q48nP2ChCR3xZClRnVukjyNa8uwTHWXFEme9OcrLEvTLfJsWABWLXnuuCR55zUwbf7RF3o0Gk3e/Of+B6rf96/4dfFRHr/+K3D76bkOpwqbsxf99qJapE+25i+YPoy9ccCK3MSTFi/3HXyrgx3scuP2Xdh+FTbn76YKQDBihE2tenCx7TaVrzwazrfQkeNdhqKGOJROckBJ1mxNPfLDUiXZ6pxjVexoN+1xRFjaljklyV4Y54oMUSz3/c0F9gAAkVhFdJTkkR+pQvmcuXGK5G+uOFGhoJLCT2MmoZQkdztqvB8P83eX/DCmSnkzkWpauFeqJEe4IiXJ+UpyxTSm5/NrIQbuPknWweyAccpfem1yh171DN/zrov8/OduETdW51eS/ZC2kQxAGfaIyGqoltW6xyuYVFK0nAoDWUMcIwIu7bY3cVcPqKxNW7WzPPY5fk1td//o+Gd5zPsyPPonATjXcVRuI5SubJWSnMZmZZBkILQ7dMRQQ0lOPJmZ6Rb1aaeqoq04pSSn4foFE0dC6D9wyUJK+Nwr91MuDsO+/hlsEWI/9uHpY4sJSR6Ler6SnFSdm7KgHeu5tyKdDh+oPKuvJPeU5chauJT9gmnG7C5vWG3xwt05SXKSbpFVZOc0kvz0wXye2cE4UNFxOTYsgGpNTeDx5JgNRXZfw2uc59Mvb/GX3v/AtLjst8/8FXaNNvzbH56r0E7VbGQ3QOl0uuzIBuH2ye0WmwOf82KL23KB5+702KFBRwz3G0UNjtn+2h8xkvaBIjsA0TpHhIE9nM+CIry+WhQewkG7hV7XvVRJlojce0O0L9ASI60i0UkQJZ0ty0iyoxatkJuVHESSxpQkF1sjjKR7YeCVk+RJEFHXUpLVMRftmP7Y269ryoEXxtQNjQ55wGJCkiejAiU5iqlqCCxWoiSXkeRxMGu3KF50WHaa4X1fSf66QNRPBrfa0qmT5K6/xshd5X0PLxFLmDQvza0kD7yQbiVd4R29cWOriRvrK8n9SbndoulYDHAQx+jPvtn3uCg2CFoHyUHDqTCMLHWOj1P0c+ML7J55D3fkIqaM4LFvB1Qe6ljqkuQZJTmnOEk6HdoaSrJTNOBZLpWEJBeRqqmyAsVbkMl7faipJoxXNk6hHe7XGC5ufIqhqO1HiwELDTV5DES9UEmedj3MKyYyTMQDH+D9xnPsaqr4cryruqjlLMZSJZnxDm882+SltYF2BjOkSvIYw824jqtNYgThaL4mQ54/UfGIBQTBqSui1e8ds2ht9zo35DJV0+B737Vf1Hjh7Cr/KPpzqmPi+gvah0sX/RJx5H0v1qvclouIZMFyEmwOPM6KLW7LJZ67tcddv0aHPt1xMp5rqrOHEQcjRrKKe4gkY1psiy7ueL5C70rQw68cJclNp8IOTWKM+ewWeIoQZuRmA9BRlha5V36OvTDGRs9uYSY7cQM/exwOo5i6ppJsJNdFWEIUIfVhT3ILFadI/uZiNeQtmx+Dn37iaIvxGfhhvB8bWqIkp1abIuVb2S3K7SaOoz6HNyn2zA+9CCe1WxREwAFYbnlE3VcL7pPkEuyNA378l/+9+qF7+fh+2QyEYciy3CRsnGepoQaFgXvuWJ7ktpn4JbP8r3aTmtQnnml0lDSs3BV9w1Z2i+PkoaZKsugcJMl1u8IgtpS1Zd6q2P4a7Fzj2dq7+YHgv2P8ob8LF98NwPmOyyhVksvsFpOQthgSWc38Yg+3y6LoFyvJ4axNIockR2nlcz7ZVspKEmFUVEmdkGQn7LHaco7dgOJrFnHMW4af44X6uw/EKzXtCpYp6Em3UEnenxwKKu4f+hZW2cLpafpbJz0mws3/XqsN9b2Pd3jj2RZ+GPPqHN/r0ItoizEiyxphGIyNOvGcJDlMlbYc/ylAvalIf29vvmOnkDuv8eVBmw8+tky7tn/vPHKmyZf8JC4vbVutgYGnWmnHVuMIkVts2NyWS1QH8xcEHsbWwOeSWGfDXOG5W3tcG1XpigEPGklyxnD9WIt/6Q0ZSZta9eh4tF1ZoenNp1BXwwFR9eg1YZkGbtViVNHvujdOdjFFQSEnSXFkpX8r/zUJvCBSCQ9lSrJpY8YBgji3eC+MJXUjFY/KSLIiiqGGJ3nkR7hMtJXkhWpEd3Jd1cMUpJ2oboMaRdqAMEw8qgSTApI8TcsQhYWLtqPOTeCVeJIP2C2Kz6ft3leSv25wc2dEM0x8e51Lp7oyWr97k6qIMDoXpyR52zqrwug18hpTDL2IlpF/05puE0tETDQLPIZe+cBXq5oMcfejlebA1l6fVbFDdenKgccbdoX+HJ3xDuDGFwD4D+MHqSw9hPuBH54ODAv1KtG0jWfxOVAtqceZxU5TLD/GQ+IWw1FxS1A7VZIz0y3qGJGHINZQkjWUlVT1Hu9yZanG1a1TJsnBBG4+ebrHLMJnfgp+/xdO7XDxzSdZkLvcWvnggceFECzUq+zErlKSM/JhvXBGQSkoWOHsEwA0B69qvSfDz972nnlzSmWe7PLGs4rUzONLHibpFnk7In6lifD2tDqhpYjTSblgkmy0FEke9Y9Bkr0+YrzNy94Cf+Zt5w889eiZJjel8lLPQ5KHiY9aZlhEOq7FbRapzanGZmFvZ5NlsYex9AjP3e7x2tihJUY8JBJyGE4KYwbzEHtDxjjU7KNEp1c9w0KoT5L9MKYWDzN96qAsF32zM5eS3DHHhWkntFVBuo7irYrXdOwW6vkq+VnJiiTrKckVR82dsUazqUkQqRbnmp7krhVRCxJyXGBPVHGf5WkUKXxRJfSz56BpIo9IGpPkqfyAk5Jkv1hJHgfhflfCEvuKU0uuB43zea/jPkkuwdbAZ0nsEYqkdewpkuSd22oydZYus9xUN/0mXUCqUHpNDL2QRdGH2mLm82kL6f6eXpHOIFWmC3yHQgh8s041mp+M+UmRjJ1Bkqfto+eN2rvxBaRp8+82lnnrxe6R97rcbqltxJKbtj9R4fiiQCUwL74TW4RUNv4w9zVBVG63AHDxSzzJMVURlobLp124GKzxwFLj9JXkj/84/MJHTi1PthBf+ufwif8JnvylUzvk6NnfJJAmkwc+fOS5hbrNdugAMrPYbOwnPkkoVpK7DwDQGuv5W62wr1I1iuB2YbzDQ8sNLFPMFQOn8s7zu+OFdod2vKdVeZ8iTreLC+6Pdlvdf6PBMUhysou2UVnlQ29YOfDUo2cabNMkMJy5SXJdjKF6lMgZhmDHWsWJ+oXNZHQQb6nCvIUrb8YPY3ZkAwPJW41X9l90DMtFMBkwwuaRlaPvf+ieZSne1FaoNwceLTHCyCpKRiVc7IrOXJ7kppgUk+TGGSJh0vbvFjY6CqNYZRtrkWR1H9rkd90Lo5ia0LMHVBIPbVFzjhQjP8KRY20luV0JqIfJveAVp1EUZusfQmg4yJz5LEi6DVYJS49VTUhyWKIkD70IV0csAOp1dT3oLDruddwnySXYGnosscew0lXE5rh+2QwMNtS2bGv1AVpOhappsBElN7NmmDuoybDLHjRWMp+v1tLtTz2P4MCLaBuTwgp2gLBSpyKDufNQ412lrIhEYUjRsCv0wzSqbV4l+Yv4K9/AnaHkrZeOTgDnujU8UZ7B3J8E1Jjsx1hlwLn8DgBa28/kvsZPyS3kkGQ1gLp4hUryJIiwNQY6aotK2di5xgNLNXZGgXZebynWX4Cn/ikg4e5zp3PMPNz4IvzWXwdhwvbVU7vXzJd/hy/Gb2D1zOqR5xbrVTaCZFLOUPrGfqRnt6gtMDIaLPga28phhBsNVT5zERKSXK0YvGMpZvCafrLDaOKp2oKcuLaodYmLYp0bO3r3WhxLRHr/FChJ3a5KXfAKGh3kwd9T5+7KA48cKVTr1KosNx22rNW56jbSZkt59/TQSa4JDc9sEawdJXqcf1A1EukL9d1eEJvcta8kb2b+4r3YHzGWVd507uj36NfPYRNot5Je73u0GGHV8knyNq39vgAlGKUZ1EUk2TAZOaucZbMw+SVNkbGkr+FJVuOhIsn5hXs1TXtAJfHlSs1mInY81shJVn+zbYW042Q+94uU5IjaVFgp+fxAZDrInHkyja20CIvzpgGRjGmBXzyPHxgHS85n2uxkPDpm8e49hPskuQSpkrxndNSFcYpdZIItpTgtn38YIQRLjSprfnLjzdGpaeCFdOJdqC9nPm8nLaSHmoU0g0mg1IGS7aTQSp4vWB1nwUj9f62D26kNp8JukNot5lDsgwnceZobDTU5ve1iBknuOIykrZWT3DQ8RMFnF53LbNNkce/53NeoookCu0UywNaNoLAb07RorGzQFEIpmTvXuLKoFI5Ts1x8/G/vXwtrrzNJ/vRPqALZb/5b6rvSVLQKEUxwd1/m8/Ebudg9OrgvNqqs+8n5zVATR36kiomgdHLYtc+zEpZvK28P/dx4tgNwOzBWE+wPGb/Gj939UYj0lN8oTZfIsVuYi1e4IDa4ua13/w79UHkxofA8tBIl+TjdOK/eVDsV73rjlcznHz3T4Ga8NBdJVkryJLeVtl8/p/7nhCS51r9KjODiQ2/CsQw6i/uixTPmm9X/HENJNsIRltuYNlyaRdRUQoOnGWG3ubOHLQLsZjZJbrsWG3FrLiVZRQIWL/b8+jnOia3CrORp1KIMynfOEmJXLVCSozjGFXrpFtWk0CzOsS8ceJ9BoIi8pt2iafp0ZdKoqMBuoZTkAmHlEGLLxQwnmcW8fnoudQSW5FwHJZ996IdaEXCw3+xk3kY39yJOTJKFENeEEM8KIZ4WQjyZPLYghPhdIcTLyb/dsuPcq9hMSPKO0dm/ME6peE/0bjLCwW0p5WWpaXMnnazH+kryyItoRTu5SrLbVKd/3NcjyUMvoiGKY54AZKqCzemzc0YJiWidO/B4w66wM1WS57Bb3PkyRD6fGT9Ep2bxhtWjA/b5To1BXCUqifjpjQOaRkm8jxC8aDzC6jDfbqHidwr8ZTMZmnl2izCKVUtdNOwWoApLt6/ywFJCkjdPYYC6+h/glU/AB39MLWrW8z/zqaC/BufeCueSLOOdayc/ZqKKrbHA+QySvFCvctdLzm/GtTz0wxkluXixMqhd5Hx8l6hgWxlgs+/TZJzb3nmKREkGuMhdGozwbustVGRK+HOIeP3Mw9giZPuunnVh6M0U7hTcH4Zl41MhPIZ9YZQs5M+sZI9lj6w0edFfRM5ZuNc2xrkL36iV7GjtnSwGrjO+zqZ5hort8sMffoQPv/2N0+c+4yUtoI9BkqvxhGYzpw14WwkNww09kry7o2x8tVa2Na/tWqxFTXUfaIzBYz9SuxUli724dYFzYqswK9kL1XippyQndgsRMMxLt4glrkg9tMX2gE5C6rxx8ZgZxZJKmKi3mnaLhhGwIBJyXCAoeWXZ+hnHt/EzM/H3SXJUfqzkXAdlEXB+RMPQ2FEDWi11PdxXkvfxLVLKt0op35n8/GPAJ6SUjwCfSH7+qsTmwGNJ9NiU7f0L45R8yfbwNpvm8tRUv9SwuTFOSbK+khx6IxXxlqMk15NCGk9T2el7IXWZ72VMsU+S57sRmt4aQ7NzRI1q2BUm8hidejZfAuA3bnf44KPLVMyjl/W5jsMIG6/kpu1PQq0MzFerj7HqvZYb6XMgfieLJCfHX6yG7OV4Qqfbj4Ra2290r8Dua1zsOggBVzdPwQ9260vq37d9H5x5M6zlq+engvGOIoZpq+bTIMkJMYncJezK0eKnxXqxknzQk1ysJI+bl7ggNukNiwnG5sCjKUZU6iUk2dlXkruB2qrv/dHvFf9OivSz5Cio7pmH1Ms29AoNB16w3ziiREkai9rcO0wA/jD5rN2lzOcfPdPkWriImOxpCwnDtDlSjtpptVcJpHliJXnFv8GmoxJ7/uoHH+a9b3lk+tynRpeRRmVuu8XWXp8K0bR5xGGkGdv+ph5J7u0pklxvZetWLcfiTqC/mznyoyQ3u1hJrnQvsso2m3v5IoUXJONdNC4VaFLiZ5PfdS+IYmroKZ+LDYeJtJiUzJHjoLwN9xTJ/NaS/f226AUNdrwwxjX1SbJpubjCy2z3PSXJMklGKkLCa/ySwr2RH9GqJOe65Hx2WklE3X2SnIv/BPhnyf//M+DPvE5/53XHVn/CInusxa39C+OUYk2a3hr96r5HcqlR5dowuTk0PclSSlw/KfLLUZKbiVLtD/e0jjn0QjrxNjSP+jdnIZz5SXIYxXTCTYbO0feqOu6lecZzLESSc3V1ZPOhN57JfMn5jssYG79EKeh7ypNcNgjcdN+AQaxU7Az4UUy1KKMyzdC0o1y7xSRIlBU0th9BEctwgjPZ5FzbPZ3iveGGIoZ2U5HkjRdV8sr1L8C/+aHMNIgTYbytSHIaD7hz8nbBKUmutM9mPr1Qt+mTkN8MJXl0wJNcvFgJW5exRFSq7G30JzQZYddLNtncLnh7EEfUJ8qKEL32+8W/k0D4xUqySBci29e0jjfwIu3qdt9wj9VxL0ja3KfbtYex0rT3Ey40ld+hr+wWedvjS02XO3KBaPcESrKUXIhv069f2X/MTTriGVVuyWVCd2luJfnFG4pULyU+78NodJYZSZt4V4/gj3uqeLtSy77u2q6VFLGitUM49kOceFhKku2lK1REzGg7/31OUiU5GpZbGRJi5xhhgd1C4gg95dMwBJ5wSjvujdJrCbTtFh1/pti54Jz6s5n4GuO96dRw8TMtLH6kzmWFQNtuEXolOcl+qJqzCLO82UnDZSyr+AURdV8tOA2SLIH/RwjxlBDiB5PHzkgp7wAk/2azt68CeINtqiLiTtjc37KZxwqQAykli9EGk/r+xL3ctLk+MpHC0FaSx0HEIgn5rWefZqehJpxwrEeS40kfJx6XkmTjGCR5e+hzTmzh1Y4SlqZT2e/5Po+lZbxLjMHEcPnmR7LV9LShSFhy0/YnIa5GvM9a803qf1Kl9RCCcIYkFxTuLVhhbuHefiGLhicZpukK7FzjweU6axt6xTyFGKxDI9ntOPM4xAFsvQz/4SfhD34Zto7ZajcLwUQtQN2kSLZ59pSUZEU06gt5JLlKTyakb3L0HhkH+gUrYkF9B95G8XnZ7fWpiginqUGSAbavYibbvLX17GtuFnEsqQSpJzlnR6h9kRiDal/XbqGSX4DSRgpBpY5Z4v/PghzvMcRF5OS6dmrW3DFwg0lYqHYu1qvcZolw5/gkebx9k7qY4LUf2H/QaYMwCdpXiDEYWYvaBXEpXr6lXn9mKfs66dRt1QxFI4MYZjos5kbAVeilC0YNu0zojTCJS0myu6SawoTb+d9ZqiRXwnLSnS5WO1ZUWLinVXCbIDTswtxhgIkfKxEFypuJmBYYFo3JTAZ3od0iwhH66RaW3cDFY3Nw1G7hzSrJmnaLsITXjP2Ihpl0HS2IlAPo1i3GVLWas9zrOA2S/D4p5duBbwf+mhDiAzq/JIT4QSHEk0KIJzdOYzJ/neAM1Mr3qr+AnGbtntxusdfrsST2kK39hIelhk0YC6Td1t5KHHghSyKZ2BvZBDEdcGJNj2DDSwbyZjapSFFJ2s/KOTzJ632PVbFNfKhoDxK7RUqS51SSB6LOOy4vHmg+MIvVtrJblFUv90Y+tk68T2OFuyzB7WzC4kcxFkVKshpgO1aY60k+UMiiUcgxa1H4xvoGv7L9nyNf/XT57xVhuL6/+DqTFB+98kl4JWmwc+sUs5PThWEtUc2SQsSTIugpktxZPpf5/GKjSp9kwstUkkPctDFMiZJcWVIkKdoqVsCHybZ3tZ7TbS9FGtV1VyWpfDl+iNboNRgVxzkO/ZCGTCYoO8fSUanSq67QmtzSykruT8KZCKjixUJk1bHC4VwZzAD4fUZG/r2nSHJixdAkyb43Vt7MnC38xYbNLbmIOIHdon/rRQDkwkP7DwoBbhdzWdkudo3u3HaLq7fVWFyrZ5Pabs3itlykOtAjycEwucdyvPAt16KfLhi9clFl2kyqhNSKpOteUWdDL2n/XgnL7Rvpfdi24oKc5KQJUMUpbsSUIKq4pZFlc9ktAKwazmzb8ILdFT+MsefwJNu1Oo7IUZKTucMkLJ87TAuJQAaTwlqKkR+p3OmSex/ArphMcEprgL4acGKSLKW8nfy7Dvxr4F3AmhDiLEDy75Hls5Ty56SU75RSvnN5OYfc/TFDSkknaSn6YrSKL5LV6CkU7m3cVpNo6ikDpg1FQrutrSSPvGiGJGdbDag4hJhaiq8XRnRlMgGXkGSrlirU+kry1u4uXTGg0jlKkmftFp9+/jXGfrZCcBij3jbbUY0PvzF/w8KxTOKKW2qV8SZjpYyUDIAtx+IlLk790LOIY0kQSRXkLszsATr1q1Xy0y3SQhZT+uW5oZBYFATsXOObwt/HImL8iqZ/NQ+Djf3ravFhpFkl/sw/VCkvhgW3njrZ8WcxTq47NyXJV06FJA+3brMjG1xeySakC/UqE6rEopKbbtFMq85LPMm1pUv40kSU2ERG/eSz5hHYFKmSnKSKfNZJNIibxZaL3iTc90HmKcnAqH6Rc3KN3dm4wM/9Y7UQOoShF+JO7RYlBKHawGWcS2DyYPoDPLMgg9mtskOTwHS1SbJMUz5y4vYWG1U2ZBdzdLyOeADju4okWyuPHXzi238C6wN/neWmza2wObfd4sZaYqXLsbd0aqqttjsqT1QBiEbJXJFzTbRda3/BWCKqSClnSHJJSksS92kVdDb0woh6qtJqkuRmpaDjXiSVPUiD1Kk35yKCcWHr97nsFskx0wVMjFHaTMSexoaWk+SKXcfFzyyGTHOSlZJcQpKFIDKqWOTvakL62X3t8xkYDvLrvS21EKIuhAqDFELUgW8FngN+E/iB5GU/APybk/ydPy4M/YhL8hYxgutyhUGcGOBPQ0m+oybRxsqV6WMpSfYqLW1P8sALWZraLXIWG0IwFjUMDY/g0Is4Q0LQS0iynahg3nCOJI7Eq+ksXjry3IWuS2ioweHTz9/g0y/p7TD0djbYo843P1rs6jHsOmZU/N3F6XZYyQDYdCpsRfX9BIEZBHFacBflD1DJpNcyfXrjMFNxmyTbj6au3aJSVZPRzjUe7n8RAO9WfpazFobr+zsUpsWm+wDGeItg5S1w+T2n24UvXRimxLB7BXq3T2xv8nbvsCHbXF7MJl9LdRsQ+JVGbk5yIyXJJVXyrbrDDblCtVdM4Py00UYBgQX2z8XdZwF4eeFbiDBUnnQB+pOAFqmSnP834s5lLol1bu6M+YXPvMqnX1yHf/93VUOXQxj6ITUxUQVoJZ5JYTdpMGErYyu4CJVwQFgpVpJBsGefmzYeKUOckuQcJXmpbrMhW5ixf6yOeABsvsxEWjRWDo1rb/luuPAO/uNvOMfTOzZysK7t4x96IXtpa++crf1qxWDTWKYebJXm1cexRKSfL0dJbh9QkovPhR/FysYC5aS2WqdvtKgXdN3zgljFyYG2J7lpRbx7619n1oaEscTGK88zTiCqdRw81gpi6pSSnJJkHSXZRUTqeAPnbGm6hWPok2QqDm6JkmzEGp5kQBpVbILMpIwUIz9SudMlQkGK0HQQ99tScwb4rBDiy8AXgd+SUv4O8PeBjwohXgY+mvz8VYetgccD4i5blTN4VI/fMjkDXuLN6qzue9iWm+piHpktbSV5mNgtwmqrUG30K/V9RaXkeGdESpJzlOkEbq1JLAX+SM/rDODvqO22xvLRL3s2AAAgAElEQVTlI89d6Nb4zN/+UwA4eNzZ01uMyPEuPepcWSoeDCtOg2qUT7gmQYQVp4N0uZLck26mhzUdoKqiwA+WTHpNM+A7+QTezaODvJcU7pmxZuEeKGK5/od0NxOFd/0Fvd/LQhypzo+J3cIPY74wVAunp9rfCuffqRTO01ILEgvBK8PkOu5eAeRc3dWyIAfrbMo2D+SQ5JarGvmMjXrm9zlMvXhQ6m1suxbX5QrusPg9B6OE/JQpcE5qt3gWKg7O0hVe5nKpktyfhDTFiNiwCom9tfQgK2KXX/38i/zPv/UC/+azT6vxLaM5xdRuoaEkmU6TupgURn4dhpQSOxoQWfmEyzINGnaFbWtV+7owUm92nie5UVXpRXCsiDaAyu6rXJWrLDWzz833ftMl1uMWQkbaY/vuONDKpd1Li797xZaLnZFPnaFSNHNIaMu19otYS5TksR/RSHcrykgy0LdXac8WsR3CJIxUZ0Sd4yXj6lmxzV/c+ZnMRV0YxdjS1/IjA5h2jZrwuL2bP54NvWhfSdYh38lrJtKiby0WNhPxw5gqBXUsGcd28djsH53T0sI9U0dJBmKrRg2PnVE+SR77kSqE1FSSI9PBOKW43D9OnIgkSylflVI+kfz3Zinl30se35JSflhK+Ujyr14/5HsMmwOfB8QdejVF6PbCVEk+eeFeGjfUWb0yfShVkgeirh9v5Cck2S22rMhqEzPoM8rJlEzRnyiSHFbqpQNVMxlQ45G+kiyTKmx78WLm8/VaDSkMGmbA3T2982x6e3iVZma81yyqTp2qnOT6JHtJtz314uIBsOlU6FFXasuh4x3IqMyL30lW449sfYqfsH6e+Is/f+QlqSfZjDVyQ1N0L8PdZxCRx1cqj9EaXS9txZ2L0RbImE/eVAuI33r2Np/zH2RMlZ/dfALOvwPiEO6cUK1OkdgtfuQ3X1NbnqcUA2eNN9gzu7l+dSEEy02boajlRMCF1M0IEKWqjF0xuSVWaY1vFm7dR+Pibe8pUiW5fwfaF7i4WOdL4QPInFSVFP1JQJMRUbX4+M3VhwH43FN/AICxm9hEMsiiasrhlVstAKvWos44s6goDyM/oi7LM3fbrsWasTIHSU5baWcTw1rVZM9MzvMxSbIzuMENucJCPfv6eGi5wcIZZTmINFu7D71QK3Jv4Op1DEy77YVWM7fwqu1aDHGQiFIleehHNNFUkoFJ7Sxn4vVcG50XxDTRJMkJ8X2Hn+xkZSi0QSSxpb6SXHUbuPiFJFl1ZE09yXp2C4Ad0WJErcRuESlhxbBKC+Nmj90fHP3sU09yONL6/NLp0BEDdgqU5GlevOb5lFatdOf2qwH3O+4VYKs/4UFxh7CrijF6QUqST64kVwe32KSDWd1f5bZdC8sU7MqGttow8CKWxR5xLTtXNIXhtKgz4dWNYiP90A85I7bxa8UqMkDTsdiT9blIciX1pDWzi6gQAlFxWaxG3N0dwBd+TkWOFaAa9ojLvJ2obNCqiLixlt1Nqj8J9z1xpXYLi56sIWR8pBhj6gcrKpowK2BWWdlVbYajwdH35E23zPz5lGQAs8qNh/8CJjGbV4sJVS6SIqP/6yse/+U/e5Jf/OxVvtj90/z6n/gYn7lT4arzBvW6U/IlxyN1zb/ct/jkixunRpJrwTZBySJyqWmrhIucCLi6EaiJWWPy2rLO4UTD3OK6KJaIdLLU6biXon2RC12Xq3IVMdktHCP6iSdZlpCNWpKVfEms8fj5Fu4gIZ4ZBWZDL6RhBggNJcmpt6kzYWugLyhsDXwaYozhFp+TTs3iNiuqsKxknPTCCDsuJnJCiH2R4RhtowFsf5ee2TnSSnsW736Lai7y9Asvah1zMOsBL9jZCmsJSe4Xv/f1vpd0ecy/JtquhcTAN+saSnK4b4/QIMlR90Eui3Vu72bPQV4Y76u0miT50UmyQM8gn1EsqUqv1CKVwnEbOHjcKiDJvXEwZ+Geulf2jA5DnFy7RVrHUtWJbJseW5FVLyO2blr07e3uL7QLIGoLiiQXKMkjP8KR83m8K7E3f/HuPYb7JLkAg63bNMSE6sqjAOykJDk8uZJcG99lyzzooVWtqW124pryJGt410aJJ1nkZCSnqNbbtMSQVzaKfcmDScgZsUtUL45/A6Wm7qJP6AGc8V32jHbxwGW5dKsRSxufh4/9TXj1aBHRFFJSjwcYbklKALB0SZG6V154OvP5/iTc79BUZrdwKzMFLge36H3d+B1LqeZ3ZVeptoeQ5iQb0TxKcmLfufQeHnvHBwH4ypc/r/e7h5Goaj2zw++9sslzt3p8//sf5lvf9TiGgF9/KVJd+E4p4aK3vaYC/bH5P7/wmsr9tmony0r2h7hyjMgrak2w3LDZjZzcwj3XCLUn21078fLvZSudOyOfRqrAlSnJprW/YGtf4ELX5bpM7vWCxUNvEtJkhCjr6JcsRL7nkZhvf/wsS0GyiJ3sHlmc9r2QpuFrkQO73sYUksFAv6h3c+jRYExFhyRHyecqaZ889CI9dTIdPzNsJqWQEjfcw7eKx6B3vEkV9b16Va95y4HIvSL1Lq0ZKHnvO0Nf+dQLFmZ2xaBqGkzMRmmh9+iA3aLkOgbMpYexRcD2rez72QujOTzJalytyMQGlbG4DeM4Icl6pK5i16gbZUpy4ssXpl4xdfK99c2Osufl1AX5SbFgLR6WjwnTY6vP5U3ylGSJqUmSzfoCXfpsD7ML96SUjPyI6hyFkEa1hiO9uYt37zXcJ8kFkJsvA9C5pDJxd/y0ZfLJleS2v8Ze9ejEvdSw2YhqIONC/1KKNALOKPMPL5xnVezwR+slJNkLOcMOsiQjGVRk265sqBtRE01vnT2rJDbbqtG1Qsx+UuRR4LULvSEWIdVGdtj+LM4+rFodb1/Ltgf0J8GMklxMBFIlGThCrPaD3AvsFgCX38fdt/43/EH8MMb4qOqYqgEi9vXVhVR9fehDXHrozUyw2XvtmEpyMulevvQA//A/fYIPPrbMd739PCtNh/c/ssz//fQt5Pl3nFrxXn9nnV0afOgNK3z6pQ1u7IzV59k+Pkn2dtXWdrVTfD0vN222Iye3cE8VrOiR5NBNWv4Ojy58YL/bnkTkJi4cQDrJtS9yoVvjukzu9QKS3J8EtMUQI6dpxBS1Rag2+MjqmHMdh0tiRo08RLqGXqja0mpst1qu+lyTgX69wlZvrESJWjGx77hV1oPkuyixpSmLSPnuULWxqAoij2O38HqYRARO8bmutNU1aI6KiX0KlSZSbv+yG10CzFKSvDcOaIlRoaAghKDlWiqGr8RuMfJnSG1ZhzygdlaJTcO72Uq6F8b6HufD92IG+QyiVEnWswdg1XCFz+3dfBGs74W0DA9Rrc9liRhVuvRjJ3fhkWZE18JdKNkVPnxsI5xMk5BS+JGKvxORtx+pWQCzvkhHDNnNUZL9KJ5R5vVIsmnXqQmvsBjwqwH3SXIBqnuvANA6rxTIbU8A4uSFSlKyFK8zzmiosdSosuanE0C5QjsZj2mLEZVWMUk2u5dYFntcu1tsDx9MAlbEDkarONkCVPHaHnUqvj5JXojWGTklVg7LoWmGuJNkwurlxwatb6hJ3W0vlv5tc+lhQkxkTjFbbxzOeJLL0y16JET6kJLs6WZUfs+/YPzev8GObGYuNNKBT0Rz2C3OvQ0+8nfg7d8Phslu4yG6/ZfmKqBKESXbt8tnL/Kdb7vAP/0v3kWtqkj/hx5b5ubOmOHim2H3tWO1ID4Mr7fJrmzw3//pNyGAf/n715Os5OOT5PU7Ss1tLeXYexIsN202AweZUbg3CkJcEWiTZJmS5BwytNlXil5kNbTyW6fFe+0LLDds7poJ4S9YPPTGIR0xxCibIIWAxYdh7XnOtV0uizVF3uFI44uhlywWdCbJhOR4ml0+AXp7amwqa7DSrlncnbYRLx57Bl5IXYPILTZdtmkfz26R2mpqJWOQ3cKjyke2/wX84p+EkgzzgRfN5FLnE71u3WZLtpAlJHl3pBJPzJJFSNutMKSWWcQ6i7Ef0RRjYtPWUlW7F5XdRG5mN9qZBJG+fcOogFD3zlfii5lF6WGUKMma9y3VGo4s9yS3Tb3dFGC/cK+6wG5UVWQ+Y4fYS4QVN9yFevlcpo6t7kMX70h0mx/GdEjGZE27RVcM2M6ZJ1IfuRVPtEmy5ai0kK37JPlrF7X+NXwszM5FmnaFvUmoLpATkuR4uI2DT9g4OnEvNWxueXoqCTAdGM1miTrbVoVy/fVrhS8LBlvYIqTSLiYVAA1HKcmWrxebNAkiVuQWfr3k2JZLw/RZIZl8Ckjyxrqa1JodjaztSpVd9xLd4StTK8Ms+pNAFSaBVrpFX6ZV4Acnk4MZlcXktu1abNOk6h+110yCGEGMiEN9u4Vhwvt/dKoeVM69hcfEdZ66Nn/t7N7GLTxp8cC5oyrs5SV1ftaNZMFzgkYMKeLhNhOrwwNLdb7pwUU++ZUNWHxQkcFjtr/eXlNd1BbOZBeKplhu2qrTmNc/8rfGfoQt9EL0AYx0+zvDQgOwNfQSv7Dmtqq7T5INQ9DtLNA3O4WLh/4koCsGCI0JkkvfBDef5FzT5KJYZ6+pivkYHCRd/VTZ1CEIySLT1+zyCTDoKVGg1iy2LXRci1vjlCQXH3/ohTQ0Fr7nOi7rcYv4GEqyTL7naqNEARSCf7X4V3nKfEI1IXrh3xa+PLVbSMMqXGx3alW2ZIuwV/zed8c+LTEutaa10qzk0sI95UmOLY0CNsDuXmCMjbWXbTfxwpiWoZlBLASYNqPqEn8QP5zZ0CqMJVY8n5JsEbC2m7/g741DWnORZDVmBM4C22FyzWZ0okyVZNffmVtJdvDZG2WQZJH8HZ0xoLaARcgoZ1E7TEhyJfa0I+DSQsh5YyDvNdwnyQXojK5zp3IeDIOWa6nOaKdAkntranIT7aMT91LT5mY6AWgoySJVPnJaUk+RhLnHuzcKw9JFYnGwukebfRyGaQjGZhMn7GmRmM2tbdpihGyVkeQaNRFwRpST5J0tNZF3F/QGlnDxDTzMTZ67dXQw6E9mlOSSgfWAknxogJ5WFsuw2G6BmpB2ZBNDRkc6XHlhpN3hLA/2ubewKPr0N+dvuTvcvsMGbR5dPUrmLi2o83M9TJTKUyDJFX/fP/f4+TZ/tDEg6j4IkQcFnbqK0N9U187Zc0dzuWex3LDpyxoCeWTrVhWsaDZ0Idn+lmauX3Zz4NNkhOGWF5sC+5Nc0rXsfNflllgttluMA1oM9CbIS++BcMzqzpdYFj2u1x5Xjx9Rkueobk9U22iORkPDhCRbJUpnt1ZlO07uvZIxcuCFNMSYqFJTC8gcnO+6bMgOwZ5e8sQsxntqDHI1FurPrv5Zflz8iPLyl6jgQz8p3CtJ2unWLLZki2igY7cYaqWH9GS2P38WqSe5rDh0CiG4Y56jMcj26ntBTNuYKEFAZ+fMabG+/J6E0GcoybFUpE6zlmBKaCdD+jldUHuTgIbhzU2SQ2dxnyRnvNfUk+z4O1DXJcnqunCEf0RJDqKYrkj+js4YkDRwCgfZC/txkopVifSV5GazhSUirm/o7zTfi7hPkguwEtxg01YTU8u1VGc0q3biwr3BuiLJ1YyGGqsth610AtBoKBL1k4mspHAvJclnZOL1zIE5VJOEWUZkE4R2BwM9//TebdWdzlo4mpF8ABUHB5/VNK+5gCT3dtTnX1gsT+MAaF56nItig2euHg21V0qynifZsUzGRqJ25BTu6WRUWqbB0EwmrUNpCF4ws2Wm4SvLQu3SWwH47k99FH7yEdh6Rft3o/4aW7LNQytHz8WFrosQ8LKfDMA5RWq62BsHNOI+VlNtNT56pokfxqxVkutwW6/Y6TC8vbvECFqLxfah5aad2Zo6jtOCFf0Q/XZNdYXLIy27I5+mGGGUFdWlSJW/pJX7ha7L1WgJtq/l/kow3qNCrDdBXn4vANZz/xKAFypJaskhVXUwCXGk5iSZeK2jjKKiPEzSBitlJK5m0ZsWzZZ5kiPqjJElyuSFjssm7WN5kntbasxsLpSPQd16VSUIOG0tP3VDI3KvU7PYpI0osVv0hp6ynpRcd23XYjdyS5XkceJJFrokGdhxLrLkZy/YvTCiZXhaSRkA/Pl/xctP/BgD6ao83mi/QExKSRTLxB6gqySn9gWfOznxo/1J8p3oxL/B9G/L2jJbQUL8M6xpXhBjEWKF/XLbTorERuLiHeyYiZqD2qRKssbckY4TOYk8Iz/CIFZxpJrns1ZX3+Ort/U8+Pcq7pPkPEQBZ+O79OtXAOXT2hsnvsQTFu5NNhWhqC1fOfLcIysN9qSeSgLsqz1lJLl1HongvNgsLN6rjpLjaRTuAZAWq+j4p9cUSXbPvaH4hVaNqpzsK8n9/C5No55a+VoNDTIA1M8/jiEka68cLd7rTULalUCRoQLVKYVIq5APTdRBNEuSyxWROB3EDpPkMGa5klxrOmQnA+aV9/E/Gn+N31v8bnWt3NXPNDZHm4yqC5n503bF5GzL4YVBXbXe3p1fqZ7FV27v0aFPI1HjHjujBtgX/eS6noPcH8BgjZ5oqci9Aqw07f1OYzMK2iTxhSuSrKckt2tVtmSTsJ9NWraHPl1jsn/9lOHhj8ITf37691dbLi8Fy8jezfx4xJSA6Vw3jRVYeAj+8DcBeDY4r0huRuGeLTXtFqn/dw6vepA2JSohyR3XwsciNh09u4WYlJPkbo1N2aYy2Zy7NfVwN9nNWiqv4+jULLwwJrLbWgS/YfqlkXup3cKcZKuAKSajHgayND2h5Vhshba6DwrOxSjxJGtfx8CwcYUz8RpER5XaSRDTEmOtIkAAzr0Nq72iotXgwA6QUmblXB7afWXW41aOkDQt7tYl3skugNs5wyBt0pIhKHlhRJfkcV2SnLwHl6NKshfFLJnz2S0AxCR7Hh968xVpqvenPu/1tWMkxtxDuE+ScxBd/yIVIgYdRejarqUuxNPwJO/ewJMWC8tH1dpHV5sqVg20PMmVcbJKK7NbVKrIxhnOsVVIku3JfCTZbOiT5Dgp2OheKCPJLqbfZ1n08IzEG5dXFdxP/q5T7LObYkUVj3h3nj/y1O7Ip1vR95s5bg1fVI9sS07zjTXsFgDVZraHdRJELFfmGOiyYBh8of3t/GrtP1M/z6GU1YJt4lr+FvKlxRqv7XhK4Tyh3eLlm2tURcTCkrruHl5pIAQ8vVdTC9NjKsnWeJNRtXzSWWrY+53GZhS0UeLFq0r9TlNt12Jbtohz7Ba7I5UyoB319KbvgO/8J9Mfz7RsbsgVldG9l704MdLJTve6uawsFwBfHnVVrNhMEVscSwZ+qE86EjVwnqLeaNQ78Lt56NTUwjOolquxAy9M1M7iiX217bBBW3W31NjBm4XX2yCSguWlcrtFN3nvntXSe++GX2q3uNB12ZItKuEI/Pwc/HjawKZcSd4KHYiDwl3TNCfZcPSV5Kj7IBYRw/Wj97MXRjTERF9JRiUs7d+3+3PEYBJSJVT2Kd3CvRkl+St3s+eb3mQOXz5MieyfeNsbqSSJL1lFhn4YsyiS61/bbpG8X5FduLdozDF3JEKN5e8SxUcXRuMg3H9/2p5p9dnvbOwUWjzvdfx/7L15nCRXfeX7vRm575mVWVl7dVfve2ttgXaDkIQxIAwWg8Ee22AW7zZmsN/zG89g+40ZvGBj84zHxp4B7MEGzL4JAZKQ0C71vlZXdXV115qV+xoZMX/ciKysPSKzwNJD5/PRR92ZWdFRkRH3nnvu+Z3fSyR5DVSf/wwV3UVu8E7AaENc3pzCPUd+kkm9i2R45cObCHoIBoLUhXtD4qk2NPy1eapKwJLvyhEdZIsrvW5Wsr86K5U3i6qZO2CooBYIvSdzgSk9TiSywUPr8iKM2Ldxr8wWJbe6mtwomSTZ4tZ1fISGcNJTHZMe8xZkyvYql0NeJyURXGm3aJgkuW6pJag/ZmzTLiPJVVUjoZhKcnt2C4DusIeLRY+sBrdIkkvVGhEti2ud1JShuJ/x+ZL0yq5B1qxiYlJ+38GYJBo+t8Jw3M/ZmaJMuGiDJKsNjaCapu7deFD3uZXFdsgti55ys2DFupLcH/WRJoS+SoMYkEpyaIO82vWQCnsZ18wYuNWL95xVmyR5SFouSkqYc1kFPdC95F7JV1UUXf5npeMewR4qzjA7tItN+9FG0E1P/oYkWT5TVVfIghorI+AcGyxI3E4HdY9xn2zg7V0OtTDPAiG6IxsvHkySXFFCFlXw2obXOxn0UHIZ48M6udHNLo8WPMnZNeItW1GoNgiLMsLGfexMyqLQzMTKhKFmBJyVWEQDAY+Tgr4KSa6qeC10K1wC43PDYTh+ZfXvJl+pG7spFtXUPa+Fu/4rgeQWXnujnMuOXVwpKFRVjXibJNRHjcwqJDnuKEp/t5VFraEkRymsINwgxYI4Jom3p3Q7tQoX59ZvYvZCxkskeTVoGs4zX+K72iH6uuWkvZlKsqd4hRmRIOBZXWXcmQqRF8ENJ4D5Yo2kyFDxWkh2ANnW1pFe94YN1efIKBYfAsAbkQ90Lb/+Vh9AqDjOFaUfsVG+pMvIiQaOs0O+tkpWstrQcFSzMvjegj0CAMVFMbSVHeLyii21hVKdkMO63yxiVoEvT7cwlWSLTUAihpdRLS4nyQ17asAaSAY9TBdUCCRXFGOthYuXJnAKjdA6Xt7hrgBzhSpqqL9ju0U2LX2domUxsKsnxJnpPHRta8tukS7WSJKlsdEuiwFXwNiNWEVJtlPVvS0ZWHf7e6FYxa/baBqwDKmwl3EzK3mNGLhm4owdJRkoBgap1DXq3q4ldotcub5YRLqBsgmAw8F89ADXOM6vOukuR0PTEeY29AbXJeqTJLniCG24OM9V6oREBYcFddJhJgRZfEZMiPI8eRFa1Za0HDGD4BcdBsFfx85QMJuJbHC9hRB4osb9sAZJ1nUdpWpNSU5FvIvJPev4krPlOiFRtqf8GnGq5alzK96rqpr0TNtUkgurKMn5iooX476zXLgnr/OeLhcnVinsrjc0KnUNj1a2riSHe+HmXwMhuPtaOZd97enzK7rQVVWNuGm3sKkkR1yqrJdqQU3ViImCJL9W8pyNcSJGYdVc41K10baS7KPKqTWU+RcDXiLJq+Hyk7jL03ylcSMjCUmYIj4X5XoDzelrbku2i2B1ioV1Gmrs6gmRbvjRS+srydO5Ct0iQ8NvjQQQGSChzZDOr33+EXWWnMviQwBND2khs4H6ouskq5eY964fxQUsWfk+WTc6yK3iS57KVQhRoOG2RzYaXbs56BjF+eiH4fhnmq9nSzVCFiYlE7fvTDKneslnl3qJTSVZqeUsKdzJRIK6rlBcWJrRKtUFM+vSop1kFXSHPcwVquiBpGWV7Mpl6ZuPpQbW/MygkXCRcacgf2VJ4YxdmC2pWwsUd6VCjM0VUaNGVrK2MrZvPcxkC3SLDGKDRjsmnGaEVwvRKJlV3Taq5KN+NxVXFI+aX9V7WS4VZaOZtpVkD7NEUB2eVRMuGpqOVzUmeaskObYVIkNUY7LhQ94ZX6Ik5yr1xRbJFm0n+cRhdorL5LIbL6AzpZossENsqJxGmkRz5S7OckgiV7Hko3RHjQWhzaxkZyVDyWltJysWkEpyXgSgUVtXcClWVdkC2YISGjEXs2sU75XrDXyaMZZssAgZjPlauomuR5JrtkltItlHTvc3G3W1olpv4NdteJJZpiTXlpJkn5Vuha0wPrcj5mBsvrRipzFfkWOBq1GyPEcsObzRSTKfWyAzfgwe+fPmezVVI26mUdiMgIu61BVNQGoNIwLO6vOvuFBdQWIiv2pr6lJNXTw/myQ+4Khx+qq1mNgXIl4iyavh5L+hChcPievojxmrNWNgrglPZ0pyo05EnafgWdvzu6snRFoPUC2sn207k6uSYgFhofEHAJEhXHodfZ2OT5HGAlWryjQQMbbHy7kNKlhLaYJ6gXxg68YHbVHsHioaCSCrKMmXF8pEKKJb9SMbcG19GUmRZcexD8Fn3g6qHEwz5Tp+Yd1vdv8NgxRFgPn5pROTub3sqGQskduBmJ8FQlSySxWsar1BzFGU16PNCDiA7pAXVdOp+xKWCUBpQS5KYsm1SfKwQZKnRbdU/vNrp5BsCLPjYMugvrMnhKYjEy4atXU7L66GyvhTeEQdvf96S5/3Rrqp4l5iHTHtFg7NRlMCQFkjK1nXdVRT/bRqEVqGeMCNU1FY8PStSpILVbWlst3isyEE/NyXydz6+wBkHFH5nRgkP1duJR3Wno9az3U4hE5j4ukNPztvtExWnYENG6x4nAp+tyKJ5ga7bXbUzlCXrBHR8i3P4Tf+bzlGrANvPUPVbY2MmFaRnL5xglGx2pCWAQskL5GSySeF9Oq2tEyp3uJ5XX98H4r7F4tYq2svQoqlIm7qtkhyT9THRb0Hd3blDki5SZLt2C2UNZTkuowrBNue5JGovP9OXllK7HLlOi4My5FVJbkVxu8VpIL25N/BA/+5ucirqg3iIicXiVafWYcCipuIoq7qSY5YjYA0oHliRESRhdWU5HqL3cImiR+JONb0eL8Y8BJJXg5Ng5Of54TveuLxBIpDblWEvZtEknNXcKBTXaehxs5UiKweoN6aWZi5BMf+dcnnpnNlukUGd9RaXJsZAxeuTjcTGFpRqanE9Yz0I1pEVyxCWXdT24DQ6/NSOajHRjY+qPFwNRxuJrUomje+qif5arZMRBRR/PZIcuCWd3NT42N8ecvvSHK3ME5D08mW6/h063aLkNdFvCuBVs5weWEx8aTe0FBoIOpFSwWF/TEfC3qQen7pQqNqDnRtxr+ZSIak5aPk6lpTaVoONSftD5512jk3s5Ibhj2nTctFvaHhrpnK51IlGeCC6b+1ablwX3oEAO/22yx9Phn2MqknZQdBA6bdwtGwR5K9UeMZWmeNlfAAACAASURBVEaSy/UG3oap6LVHkoUQdIe8zCg9q9ot8pU6UVGgrvgs+6gBiA6RSskF94xmqI2Gqp6r1KWqCZYXbGJALk6UKxuT5LlCVTamsPjsRX0umQK0QbOSbLkuiZeF48aTKVTdQSndstg79024+PC6PxfUsmgbtKQ2YXqSmzGf69hFijUVj25tZ6uvX+7QpWdWX0hmy3WSGNdqg/E9HnBTNxuErKMk14oG8bGxI+JSHIwrW+gqnF1hNUkXa/j0knW/L3LBVHGYhH6pJ9lKt8KlJyfv60GDoy/P0l+So2/jHJtwetGFQkCUccwanmyjq2lN1egih+aLWbcOGuccctZXJcmWc9JN+GPEWENJrjZIiDy6O2TdvmLMW/tCRc68RJL/f4T8FdB1vqbfxNbE4oMQMX1wnZJkIwVAC6+t0O1MBckSXDqAPvgH8JlfgJOfXzzUwjw+UcMbs0eS+8Xcqg/C3KxMGFA2aHHdiu6QlywB1OL6JLl45TQAjsT2jQ9qDGpVXwoQVP2pVbOS5wtSfXIG7JFI4XDgj6Y4oRoNU9Kj5Ct1dB08ug2/GTDc10eIEh//3pgkcfMXZOcoU8mzQIR6Iz4WCK0o1KzW2xjoVkG3QZKbW+gWIq5C2TPUcEJsy5qfifpdhDxOzlWNhUA7CRcNlXShsmoL1S2JAG7FwdGSoVzYLN6LTX+fk9owXd3WdlqSIQ+XtATawmLmc7Gm4kDDoVlvSw2L29/FhaXNKWTRnhml1J7dAmQaw4SekoR+2feZr6hEKaC67Vt0ugJu3IqDSdUkyVJVzZZb7BYWt5pD0QTntT78M89s+NlsqW40prB2TSJ+NwuaXyqd69hwCqWKjO+zoE72xwLMEaGcMb6zRh3mz8vdl1VsMyCFhbCeR1gsZnIpDkIep0yPgA2UZFWORxaU+2393RR074r7zUSmVKdbLMhEkA1IjhCCcNT4fdbxJDcq1gotl2MysIdgI7NkMQqQKVZkUZzN56JZlLmcJAt7izpz3gkrdXrC3lVIcstCsR0lWQh0d5AgZfwLZ4wTld9X1bBb6D7rVkfznIMOdWXhXkMjrOdtzR1KoEu2pi6uXrjXrVi/zwGIDoMvzkExymSmbKk24YWIl0jyckQG0H79OP+Yv46ticXJIGySZN3VEUmuzY8BoMTW9uaGvC4a7gguU11Tq3Dmq/LPX/z15uqzsiBVA8VCC2mgSZL7xBwLxfrKlfyMJDmWSTdSdcjqwQ2TOCpTZ6nrCoHubRsf1BjE9ZAkGnl396pb+XOFGlFRxBmwTyIHYn6OlgxyvXCRBSOM3d2wR5IDkTgRUeKJi2n43Dvhy78pt7qE9e1ut9NBSYngqi5daFTUhu2BbjV0h+T1TBOR3es28HEC9BVOcsm1bV0lUgjBUJefY3ljkmynociXf5Po372cvY5xVKd/Sactl+JgJBng8Vm3/Ri4eoWe3PM87dhvqaAKZIHjhJ5Ezyz+HuVaA09TkbJOkru65TM0O730vs2U6oSEsevQZuEeSF/yBbVLZsMuy9fOV1SiokjDpg0JwOEQ9EW9jFWMZ8DwsOfKddt2i6jfxTPaDqLpoxsuzBZKdSNOzNo1ifpczDc2Li5Ty8Z7FpS/gZiPOT1CI2dYktKjoKmADvnVyef03DweoeLaqCV167kHXMzWjXtpPSW5quLWKtaU5IiXNBHq2dXtVNlyjaTI0lgn0nHJOcaM32eN6E1d19HNboo2SXImdkD+YXJxh6FSb+Awc45teJIBQmGz4HYxtSlfUVueW6sk2fhcvcz+/jDHl9stKqq040F7JBkQnhBbxRSeuvG9502SLAvjhFW/b8s5Bxy1VQv3Qpq9ucPRJMnVFe+VaioJR9661QKkhav/OgbLJwFetL7kl0jyKriSq1JSHasqyUXdLQv3bAbOm6hMHqOqu3An1yeL7lAXXr0st7suPCgnglf9oWxk8qVfB6CRNSwIQYvKry9GwxngGscFej97H3zhV5a8XZg3Yrg26E7WCsUhKCohlOr63kB97iyX9G5SMQuDi7GiN8l/xplYQ0muEhFFRBtFbf1RH6cyLqlapEebhQ+yKMPGAOgJ46ZOoVCAmdOQn6Le0IgrxkLKIlGpe2J460uvYbVuf6BbDabdYkY3VO2NLBdag5H6WSYDezc89lDcz4WMJgdPu3YLw9rkyV3k1coTNDwrf89btid4fCxDo2snnPoiZC36ki8/iUuvccZ3reXTSYY8XNaTKJWF5jZzqdZo8TZa94X39clFcGZu6X3bjH+DjpTkVNjLmYpxvZYpcvlKnYgo2PbqmxiM+zlTMEic4WHPVVQCNpW5kNfFs/p2fPWFNaPqTGTKsguh4rNIkv0uZuvGeaxDNBsV60SuPyobijjMdIuZlpiyNfzw87OS5Pii1i1qMb+bqZpx7msoyTVVQzSqMufXwvUWQlByxRBr1Jtky3WSImN5rkh2ScVQX2NBLVMeDCHAJkl29OynorvQJp5qvpYu1mSTjjaOl4oGqOBZsljKV1RCDjPdwp6SLElyhAuzhWbhLkjLUfMcLS4Ul0N4QlyrnF98wShIrxnpFrZJstOH32hL3ZqYUa8W5Q6KjblD+OPERYGJ9EoRsFQz0i3snt/A9QSy5whQZmz+xRkD1zZJFkIMCiG+LYQ4JYQ4IYT4NeP13xdCTAohnjP+e/Xmne4PB2NzchLb0qIkD8Z9uBTBVMmIU2mzNbU+fYJzej+JyPoPWX5A+iiz3/hjabHwRuDGX4Sb3g1nvgK1IqJoqAYhi6RWCNRQP69Rvk945sklK3mAilH0Ee22kEDR+nPO8KKndA24MhcZ1ftIrZINvfLDclDzxAZQHIIZ4pLYLesuli0UJIFpw9s5EPMxX6qjGRm8mVJdtt1sWNvebML4tyOlMVldXUobQe6lJe9vCH8XAS0viaOBqtqQr3VIkn1uhZDHyVVzC32DrGR99jR+KouKzzoY6vIzsVBCjwzYt1tMH4NKhvNb3yojp1bpGvnKvSlqDY3H97xfKqYfvxcWxlc52DJcfIgGDqZi11g+HZMkA83ivXK9sRglZcPf29/Xj6YLSgtLr/VCqSYLyaBDJdnLuZrpBV96PXKVOlEKCH97981Q3M+xjPG7GoQxV64TdRmEweIiUnEIzrmMnPPJ9S0XssFKBcWqkux3MV1f37KgNjSEDXXS51aYdfYQLo3LpJbZM4tvrkGSzZbUwZg9kjxZNa7vGgS/WFUXbTkWc4NVbxee2uq2t0ypTjcZFItF3oNdQfK6b7FV+PLjlWsy0xhsk9rBRITj+lbqy0hy83g2/b6psFc2FFlWuBd1GTYcqzYpxSk7pNZL7O+LoOtw6upS4h3oUEnGE1xcJDucLUqyRky0QZJdPnxUuVV/msr5h5ovlzLGYsnO3OGLEaLI2OzKubxUaxDT2yDJ/dcj0DmsXFyVfL8Y0ImSrAK/pev6HuAm4JeEEKb09Ge6rh82/vtKx2f5Q8bFOTmwjrQoyR6nwt7eMONZg8S0abnwzJ/ijD5IMrj+hHvL7XfzBW7H/8z/h3byC7D7NXIruvew/MDcuZYW0tY9xFrfdVzUUlztOrJCUTSLtewoyQCqO4K3sY4xX2sQLF5iVO9pbv2vC2NQE5E+ukMeJjXDFrEsBq6Z/tGGYjZgpJYUA0OSJJdrLZ5LOyRZ/tu7NSPSqDRPTW0QbzYBsXZuzlACJ9piVyxkukVAy3VMkgGSYQ8TNeN+3iAHtjL2hPx/amOC2RfxUW/oVIP99huKXJSD+mO9b+N1tQ+g/viHV3zk+uEYUb+Lf53uh5/5vCQVX3mvpWOfEdsIRax76CRJNiYBw3JRqqn47SpSgNvtIi+CqPml1zpTqtNDWlaxb5AysB56wt5FQr+wXEmWdgvFanvbZRju8jNVVtBdgeaCKlepE3caJNnGdcj7DN//KjtBrciYiweLJDnic3O1ur5lIVdRF1vpWiSao8Fr8Gol/u0rX+Tq+ecWC0nXOP9CRl6faJe1DqUgs5Iny0ZG/hpKbaGqskUY413cQiIQ4AgliWiZFdFlIOMtkyKL02K9yWDcTwEfxdzapDvYprd+KO7nOW0brunnm17vdLHW9vF6I15ymo9GS5FhoaoSMRd1Vgv3QN7btRIjSTkHZEafgQ8fhrlz5Cv1xdbR7Y7JxoJiQcSkZ9eY0wrlGjFsen6N8+3LPMXfuz+E8xu/C0jrStP+aKfo27jXF+ZnV3TdK1XrRPSsPbsFQL/cybvVP0Z65gr823tsN+v590bbJFnX9au6rj9j/DkPnAL6N+vE/j0xOlfE51JIhZcS2UODUUYzHZDk4jzeyiyntCH6outPNCPJINvf8iGqugtHvUh910/INxIyx7Qxc4ZgbY6aw2drJe98/V9yZ+1PueQ/ICvvW4teijPUcCFskk7dGyWorUOSs5dx6jXm3AO4nRZuOXNQC/XSHfYyVjfU2GUTlWqS5DYGrH7j+qc9/ZC5RLZQbqlctkOS5YB+SBjJC3oDRy1HVNizW3jDkvDMzy4uBES9iFNXO063AOm3HS0b13UDJbk2/iRZ3Y+ne8eGxzV3BgqeXmm3sGNDGv0uJHYyoUaYVAbwDx5c8RGn4uDHdnfz4JkZ1N5r4Nq3weh31vRKAqDW0Cef5tHGrmbRohV0BTxcwSCeTZLcWFRQ7SRFAEVXDLEs3SJdrDHkmIFwn+3jtaI77CGPXxZiZZZ6wfPlOhEKuILt3TdmakklNCQL15ARcFGXuViwTjrcvghV4dkwetD0JFslSFF/iyd5DaKZLddb1E5r6mS6+yY0XXD++1+mNHkcBm6QO0trkGQzttEXsa4kR/1u0iUNPJE1VfBiTWWbwxgLEhs/hwDeaA9x8lyYXun9LBVz+EXVcma4jIHzUVtLSS7VF3dEbCrJQ3E/z2vbZGLM9AlgmZJs05PcE/FRwEe1uFT1jTjtL25x+aFeoifiBXT2PPcH0io0+TT5isoWpzHnRNqkOoZKfp5BuQNsKMkL8zMoQrdPQn0xHHqDy3oCYRQBTmbKRMXKQugNYcwzAS23JK0JgGoeF6p9Jdkfh/gI1ymj3Dn5UXjuk3Du6/aO8e+MTfEkCyG2ANcAjxsv/bIQ4qgQ4u+FEJ3LYD9kjM0V2ZIIrOgMd2ggSlY1FIB2SPKMHBAuOoaanZfWw96dO7l0w//FSW2Yz+ckOaZrGwgH5aunSIoFKl7rgzOAy+Ui5HUxr4dl/FlL0Y+rPEtWiVnr0NMC4Y/jpYZWLa3+AcOPWAxYtHH0XQM3/RJsfwWpkIezZTM9YalSqZXMDlLtKMlyor/i6AVNpZGZWPRc2tnuM+wUhx2L8WTu2oLMN255fyMEja5787OLk7Gv0aFq0YLusJeLRTcIZUOSrFx9lue1bXSHN55c5GQC885u6dUvra48rUCjDuOPwtbbmMtXSQQ9a3ZivGtPikypzlPjC7DrXpmZfOHBtY89dwah1Xle3dL0Y1uB4hA4gkkZ82gQz3KtQZ/TDNG396ypnhjuWhqtRZXJlGpsVWYQMWvq4FpoLk58/SvsFuVSHo9Qbae+mDCbxKSDO2DqOCCV5CbpsLGIjAbcUjVbfs/lp+CjtzQtDbliGR8Vy4Qr7ndvmDWcLddt+1zf8+obycX28KboGQa1SRqJXZIQrWElUs2YThsL2ZjfTb6qovsi69ottotJGooHIkOWjhtJ9OESDcYnV8lKNoq9CVpTvAdifvL4F1tZL0O23Kok2yPJvVEvR81OqoblrxNPck/YS1H3oraca6GiElLs73yYHXX9bidv9D5JX/ZZ+Xpmgly5zpBzQS6a2vT7m4vA42o/eqinSZKbqSR2Sejdf8Tzr/kyn2nchlKeh4bKlUxZRoeCTbvFYmvq0dml/mGPWVRul8QD9F/PgdpzvKLyDfl3Y2H0YkHHJFkIEQQ+A/y6rus54KPANuAwcBX4kzV+7heFEE8JIZ6anX1hye8X54pLki1MHBqMygIBkAV0djEtqzwz4V0bt2Y2sOfHf5nfTvwVf/3whNwCcXogthV15gzdIoNqtdteC+IBN1PNHNTFyctfm5dZujbhMibjzMIa36PR8EANb7F4QC/c80fgjdAT8XKsYJzrkvxaFU/DbL1rf8DqDnlwKYLRhiSnrsxFuj32PJdAkwTvFIsE3l3NEHGUpL/N4gAd65LnkZmXk5mu6/iav98mkOSQh6mCoQSsZ7eolfBnzvCcvo3u8MYEs8cga1eF6eW1mHAx+QzUi7D1NmYLVRJB95ofvW1nErfi4Jsnp2HwJnk9Tq/j4jKI3Ul92BZJBugO+5hVUs17rVhr0K8YRCZkfUsdQAQSRPU8k5nFBXW6VGdIzEB8i61jLYdJkhfcPSvsFo1i+zss0JJ/7RqRqTKlNLlynbBSB+GQ97VFhH0u5omsVJLPPyA96aPfAaBWMu51i0rycJefLOtnDWdK9n2uw10BovvuYrh4FLdokA5sk6r/GkqyKM2j4bBVFxELSIFEda+jJFcbbBNXqIZHNmyuYiKakDa5uSujKzLFlZJJkq3NFz63QlUJrpkckjU8ybpQbDc6cikOtMggBSWyhCSHzdQXm57knoiXAj70yuLuUq5SJ9TG/SqV5DLUy/y2+CQT7m2SGGYnyFdU+h1pmRJlU0hqwlDJT2qDlL1JyE+haxq1nDEm27VIRQdx9e1nRo/KIs/iDJMLZdltD2znJANERYELs4Ulb7lNr3s7FrGB6/FqJTJ6AK1rJ0wft3+Mf0d0RJKFEC4kQf6kruufBdB1fVrX9Yau6xrwt8CNq/2srusf03X9el3Xr08m2/fmbTbqDY2JhTJbEyuJ0kgigDAHhHYK96aPkxVh/DHrnl8hBL9053ZG54p87bix2kzsxDl/jm473fZaEPO7uVo3/amS2GqaTrixQM1rf6XoCcufyaTXIF/pi9RRcHXZKwgESQZmKg7ZUrklPWG+UOMax3np7YysnTm9FmTUlY9TVTkoefMTpLxtkGRjUleETsknSZSntiA7nnkjlgfTZEomeZitqecKNRn/BksabLSLZMhDqdaQEVDrKclXn8ehN3he20bSgn88EXTjEHBJNQZ3q8V7hh+ZLbcyX6iRWMejH/A4uXFrnEcvzMvimh13yy27tdpgTx2joXi5qPda88C3IBU2LBcG8SzXVHochkJlkyS7w93ERY7x+cUFdamQI6EvrJs/bQVBj5Ogx8mUSMkdlhabS7OdfZskOeR1EQ+4OaUbCub0cXLlOkGlLlU0GwQh6nMxrUVWJqqMPyr/Pyvz0+vmrpBFFXEkGaSEB00417VbtKVOjtzR/OOEMgTh/jVJslLNUFZCthpAmA1F6q7wukryNnGFetxCrrx5LiFJgP/j8f8If3ltcwECcpcQsJ6EBGjuEM7a6ramTKnONnFFFuy2QRiHugKcVHbDpccA2XGx223sVNhVkiOycE+0nGuhqhJw1GUijZ3zc/mkAHb5KVL6LP/T8x8gOiRJcrVOD/PtWy2guQA4qw2QcyZALct+B2aykV0lGZm8NaMbQlF+iiuZMrGm3cKOJ1mOF/2eMqNzS5Vkv2qeXxt1DsMvB+BP1TeR775OihhtpoP9e6CTdAsB/B1wStf1P215vZW13Qe8qJYNRy9naGg6e3tXKgMOh6C/27jp2lGSZ05yliH6Y/b6vt+9r4eRRIC//o4RHZPciS8/Ro9YwB21T5K7Am4magYRNDpqpUs1EmTQbG4pAwSM4Plc2hiI6xX40E549pMANOZHmdCSpDZI9FgNpqe0FhxY4r2cz+Z5i/Ig83132CYvJvqjPk7lfeD0ESpfoqsDJRngavgQAD41I5uJ2NiSMz2N1Zy8hpfSxVUbbLQL8zpWPV2LDUXmzq/84Oi30XBwwrGLsNe54XGdioNkyMP5mvG7WomB03U4/hnouxb8ceYK1XVJMsB1wzHOTOXIV+rSclFegInHV//w1FGyoR1oOGwrycmQl4uNxBJPco9Iy+/ApmLmj6WIUWBsbnHy9hSM69Oh3QIkob+kJ+WCvUWp1UqdKckgLRdPVwwyMH1CFsEJa93fWhHxubjaCKMvV5JNkjxzWkZX2WxMkQi6CXtdlJTgmmpsrlwnJYwFgx11cvAmdEN9PKf1SiW5MLViUaZpOr56horL3k6WSZIr65x7qVRgUMxCYpf1A/ce4oT/Rj7vvFv+vi2Np7xVI+3ABkl2+CJ4GoVV38uUatzoOI0Yusn6+bVgKO7nEXW3zKLOXmahWKPLbaQX2STJQY+TmiOAs740JzngqNl+ZptKsrH7+WS5V4ow2cvkKypJfU4umtpFbBjVHeKsPsC84USduTJGXBhjRBt2hqjfvUiSC9NMZir0e8qgeOz9/gah3haoMbpMSQ6YJLkdu0XPAY6/8bt8ovFKprzbZLv7DWoUXkjoREm+GXgb8GPL4t4+KIQ4JoQ4CtwJ/MZmnOgPCw+dnUMIuHn76ium4ZS8SepTJ+VAr61s77wqNA195hTH6gPNojGrUByC+28Y5MSVHPOFKiR2ouh12W0vbv+BjQXcXFxWxDW1UCROzla3PRMhIyO0lDUG4unj8iEwfKP1uVEu6SkG4zYHLBY9rwVf3xKSrJz5EkmRJXfw52wf08RAzMdEpgrxrcSrl+ly2fdc4g7ILUfgom8/IElyiKI9G4gnRB0nimFXGJ8vtbdltgZMRbXgMuL0jv0LfOQ6uLSMaJ76Ihd8B3CFk5YtQT1hLxeLHjnBWEm4uPAgzJ6CG9+BpunMF2t0rWO3ALh+SwxNh2cvZWD7K+QW6plVLBe6DtPHmfZLD78Vy0grUmEP52txSV4qWUq1BgnS1mMWWxCIpXAKjZsf/QX48wNQnCdUMpT2TSHJXi7UjXGqxXLRqd0CWmLgAkm0q8coVFX8wj7piPpdzGgRWcBodq3LT8k6BcUNs6dk3Jm5a2Ix3UIIwUgySF4PrKnGhicf5u3KV9BG7lzSpGZDuP0weBOX9G5Gc0hSpGvN7mgm0qUaEfKoHnskOWrUoxQdoTXP3bkwikPoKN07rR/YF+OBa/+a9xbfSmPrnbIBlaHYBerzNITT1j3h8kcI6CVq6so5zpkdJSFyCEMltIvBuJ9vlPfIv1x8iHSxRpfTaP2ubFyvswKeEO5GCXQdXdeNjns1e8kWYJDkImTGpVhQDNGIDEJmgnKpRLSRbmvnsonDP83Uzz1JGS/TBrFdmL5EHMPW0kaRdsCtMC/MBKgpJjMlet0V+V3bUdG9ERAKg97KEk9yvaERbrSvdAOkhvcAglHHFvnCi8hy0Um6xSO6rgtd1w+2xr3puv42XdcPGK+/Vtf1VaoIXrh45PwcBweiRP2rD6pbB6Rq6frG78jM1uc+sfjm7Jm1txEWLiLqJU7rgxsmW6yGPb1y8jg7XViiLljNvWxFPOBmvORCdzib26ALs1dQhI6nDWU62iVJciVnkOQrRrHD1edA11EyY4zr3exK2c+FbXovXSm5lW8sSnrP/E8uaik8u15p+5gmhrsCzOSr1CNbSNav0uU0lAw7JFkIhDGxn1O2geImoGYJ6kV7+c1CcDxyB3eUvg7pi4zPl4iJzSvcOzgYwe10cK7glwujh/67fOP8Nxc/NHceZk7yPdfLbdkUUmEvU7kqRAatkeTv/7Usgtv/k2TLdRqavqGSfM1QDIeAp8cXpNK05RY4942VH8xNQnmBcddWvC7ZAtgOUq3RapkJyrUGXdp8W7sVjvgIAF3FC3KBd/E7RKtG3q7FWK/10BPxcqJoKviLC0itQ7sFwHDcz2SmjJbaj2Z4vH1UbTdRiPhczGKco2m5MFXkva+H8gK5+auL6TCpjbO5TWxLBpnX/KursVPHuefk+7hAP46f+kdb5wwgXvth/tD/fi6ny4vKYe6K3HkzIqxmshVGHFdphOwJFbGAnFsKYm0l2ZuV18Pds9vWsbd3B9F1uNpzp4wXu/ocDU0nqqYpueKW/c0AwUgcj6gzdnnlM92TNnKvh9ojyUNxP2f0AVRvXJLkUo2oUrXtRzah+EI4UUGtUq43aGg6Puq2umQCzcI9FsYp+Xqo607ynh5Qy/RWjJ23TpRkh0IiIefLy6p8Lorzl9nrGEcLtZd4I4Sg5jUWy4VprmQqJJSS/edfCOjaxm71FDP5qty1AybSJeIih6r47CvzBhJBNz6XwjHVWGC8iIr3Xuq414Jcpc5zExlu3b72amnH7sP8au2X+c6BP4bkHnjibyUxPvl5+Ksb5Tbyajj/LQBOacNtkeRdPXIL6ux0fmkkkI3tMxPxgJuKCro/0Zy4cvPScxfsst6S2oQ/Iq/X+OSk3Do1GwfMn4fMOC61wAQ9zexJO0gZZG3akZItlYszMHWMxMJz/K/Gq+gK2hwEW7C/X5LYac8wg/okW7Ux+Ybdgdogw2fVHvB34a1nCOkF2xXQx/a+l7quoH75fYzPF+n3VKWyYXegXwVhr4u79qR4YlaR13HurDz26HcXP3T6iwB8rXGdrei0noiXqVxFKiym3aJWWt3HOXtGFm3d+A5wepgryESRxAb/XtDjZHdPWJJkgO13yd9heWORqWMAnNJlsoVVNdxEd2tDkcw4pbpKrJGGkP3ngh2v4vcGPs6bg38H7hDq6MP0alNUlcCmLHwGY36ebRa1jgEyI9VTN6wLHSrJDU2nENmFMncahQZeKrYnyYjPzazZ6dHcYh1/VJLtgz8FQPXKSY44TlEIjUDQen3Ktu4A86qPRmkVovnA71MXbn7L/XttNRsiPkI5eYCJhZK0W4BcAP7ja+FT8rwLk8fpE2lqQ7faO7QhwGQJSKtMfWV9SyA/iqYLXElr8W8mdqTk2HXMf0QWrZ35KrlynaTIUrFZbxLcdw81XSHypXetsJoMFp4jKyKW4+mWYyjuR8fBXOKIJMmFKmGH9XST5XD5jO+4mqdQkefqodq+3SIzTj0kPflziiS1u+uyokjCrwAAIABJREFU8L4jTzLgdSlE/S7GqvK70hfGuV05imPnq9o+ZtDvJ69E0PNTXM2WiYtCe8//gTfRn3mKPuaaavLFuSJxkafha09FBknkB+M+zuVdcpHxEkl+ceKxC/M0NJ1bd6x9M6QiXr7nu4Mvay+DG98OU0fh8pPw4B/ID3zvwyvV5PwUPPgHTHfdyDF9a7ORhR10hzxE/S7OTOcpKcFFD1Ib28DmIK16F0lyJS0JTSjRxgDgCdMQLshM8P3RtFSSTaJ5ShKvSmgQr8t6cYuJsM+Jx+ngsmZ2F7vUXHA84LytrWOaOGCQ5G+FXk9Nd3Lj7L/KN+x2U/JGyDvCXK760P1xnNUFgnbtFkBqYCt/rv4kzgvfIHn12/S5y5tCpky8/pr+5sBMYicceaesLjdD+E99Efqu5UQxbIskp8Je8hWVemhgUUl+8APwVzetjIR77CNyS/X6nwdg1iTJgY23w68bjvHspQXUhgY77pIvnn9g6YemjgGCY/V+20V75u8yrhsLz/nzVKs1Qmq6Pd+7w4G3dzcX0nX0oZfBxYcZEjMU/YPtV8e3YLjLT1n3oPoSzcXCdK5CVBRpOKwnq6wGMwZuyrcd0aiyVVzFo9v3JEf9LmabfkmjYPTSYzB4A6T2AaBNn+B6x1lKvfb8rSOJIDn8qMWFpW9Mn4Tz3+Rbkfuo++2LCCYGYz4upVtI8pN/L2M8rzwD8xdwj30bANfOu2wd1+dW8LocpBvGtVyl8DBcuMgVkUTYvN5bugIoDsGJjAsGj8CZr5AxWlKrPnv1Jn17X87v628nNfcofP13l8xrOyvHOO870PZ9bCaonA9cC7lJopVLhETFdkayCW9Q3mNqOUvOJMl61VYreWCxcG9hDBEbBuCq0WDoGmSRKRH7BejLkQp5mSgq4A6xe/6bssB0571tHy/sc7HgiFPNXKHe0OmqXYZoG+dpLFxfr3yPUaOp2sW5Il3kUEKdBSwMxvxMpEvyuX+JJL848fC5WfxuhWuG1iYmQgj29oU5cSUHB++XZPBff16qWjvvlaTZrNw38dX3gVrhK8P/CSGEtdbMq/y7O1Mhzk7lOXU1z3nNGLhtdNszYW73VT3xJkk2u+1Z7ci07ORg253c63yav3/wKMydgQNvku+d+DcAvEnrVdpLDy3oibR4LzOXYOJxZlwDCBuq02qIB9z0R318c0Lw1+rrUPSGVF+stjE1ER5g0rOd+WKNmjtGVM/hbRRsK1gjiQD/0LibQmCQH8/+M0lXaVOSLUzcvjNJ1mMsqm59L2z7MdAbMP49yE7C5NPUd72GfEWl28Y92mv4xvOeHtmgplaCiw9DNQtPfGzxg5lL8Nyn4Jq3Nb1t8wVpcdlISQbpSy7WGpyeykPXdtmxyiTJxXlZBDR1FOIjXCoqtoi+ie6QhyxBSu4EzJ7BW19AoQFt2JpAWnqqqka+9wjOhfMcclygGraWe7vxsSXRKPr7m3aL6VyVCAVUj/2881YMGce+YHgI94hLuLVKe3aLViW5nJET5PDNcoHvCRMb/QIhUUYbfJmtY2/vDpDVAystC499BFx+vui+l4ivDX+rgcG4n0ypTl4EpcI4/shizvDxzxK/+hBntX66+kdsH3so7udyxVgYrmK5iFfGmHDY9766nQ6Gu/ycm8nLAtepY5SmL5AUWdtF2YpDcCL1Or4ceAM88Tfw3Q/KN3JX6NGmmQgesn1+JiI+FyGvk6cV2UDo9Y6H6apN2u62Z8IflnP2QiZNoSpJsltvR0n2SdGgMI0nKS1R4w0591zvOCs/04ndwkB32MNMvgqhHvrrl6gJN2y9re3j9Ud9TKph1MxVwhQJVGege+/GP7gcsS1ogzdxn/MRZi+dhX94DanT/5OkksfZ4Xw7GPdzeaGM3r1P7iiqtY6O98PCSyS5BY+cm+NlI10bdoXb2xfm3EyemhKQZDA7AT0H4U0flzmCj/7l4oef+ydpxbj9fZyoJkmFvNa6zq2CXakQZ6bznLiS5bQ+hOaJtDWoxA2SXHTFm/463fQLtpFuAaAc+El6mGPb2D/LIpdd98oJZfIpAKL9NgpQliEV8nLKbCiSGYeJxznt2kuXBfVxI+zvD/PEWJr/0Xg1JV+f7YgrAF73ET637QOkizXyjjADYhaH3rBttxjq8qMJJ4/G7uMwZ9haPtlWBvRacDsdDBy8gzc2/pDCrjfAwI1yQTD6XXjgP4NwMDtwD4CtVAgzK3nOadw7s6el4uZwwvc/uqhUP/wnchFyy2Itr2m3sPJdXjcsJ8Knxxfkd7TjLnnuV56FDx+Ev7gGTn0RvWc/09lKWyS5K+jBIWDWtxV95hThuuGzb2PHBqSyBzAWuk4eX+TRIlvaOtZyDMXlsedc/fKa6zpTuQpdItd+swMDPWEvbsXBsWoPmnBxm+MozoZ9u0VvxMucMEnyjJGLq8PgjfI7TO4mnn4OAOe2W2wdeygeICeCuGq5RZUzdwWOfhqueSuTVX9HJNlUOycWKotq8h3/SWZ1H/1nejPP8pjjmrZ2s7YmAowWjHMzi/c0DT7zDvjH19JTGWPS2Z5iuaM7yPmZAux7Ayhu4k/8d7rI4gjb3w3Z1xfmd4s/hX74LfCdP4Kvvh8elmFWM/Fr2zo/kOLHUNzPM/kY9WAfv+r8NyLFMdh2Z1vHC0eMIrj0fNNu4dLs36+4A1I4ALzJETxOB+MlN5rTR1JkqbkitndTVkN3yMtMriIbigBj4Rs6Ou4brx9gUo1Qy1xlhzCKg9shyYDj0JvZISZ563M/DWOP8BOTf8YOJtou2jMxGPdTqKoUY7tBq8PZr3Z0vB8WXiLJBk5P5RibL3H7ro1XS/v6ItQbulytH3mnVJPv+i/ygbzxnbIY6nt/IVWuL/wKbLkVbv41rmTK9EXb95fu7AmRr6h869QMf++8H/HzX21LLTJJcl6JSiVZ11GKM1SEr+3tLna9Gl3x8B7nF+Tf+66BXqk0TOkxtve3/4B1hz1MFIRUVS98G0rzPMMuujYo9rKCgwNRaqpGFTenb/lzeOV/tn8QfxxPpJtsuc5cI0CPGTtlk+B6nAqDcT8fyRyhrLvx19ObarcAeM2hfp6qb+Wx0bT0Og/dBM/8o0y7uON3uaJIMmjLbmEoyVNmQ5ETn5MLpTveL1WyR/9SqofPfhKu/Zklnr75Qg3FIZqxWOuhP+qjJ+xt8SW/Ulai/8Nr5DP4438CR97F5d0/T76qsq/PvhdVcQgSQQ8TziGYPUOvMOwibcYMmmrvKW2YulM+W0qi86I9kMUwfrfCcc9hqdJOn2A2W+R6xxlE78oW33agOAQjyQAnpsuc23I/b3I+hDs31obdws3hLT0UCEiSfFUSYnNsICmLkMe1bsLdW2wd2+104PBFcdAwosQm4Z/+A6DDTe+RDVA6UZJjJkkuyV2LYA8cegvsuw/mz+PSa5z039DWsbckApzPGUWlppI8fQyOfRryU1x2DfOcv72iuO3dQcbmS9SC/XDkXfSOfwFF6EST9pXpvb1hshWNyVs/CAffDI9/FJ78W2b0KJWufW2dn4l9fWGencgweu3v8qf1N/LE678Dt/12W8eKGDGk+Uy6WXCmaG0qyQZEfCu9ES9T+Zq8lkA10N5ieTlSYQ+z+SoFlxwz5/vaWxyYuH1Hkoo3SUhNs8dhFPF22yv6bGLf66kJL3N6CO2dj/CYuEa2pLbb6GQZBg2b6VjkCMS3wad/Bj73rmYM7QsVL5FkA//y1GVciuA1Bzcu0NnXJ9XbE1dy0L0Hfuey3LoGSZp33A3f/D34xE/KbeH7PwGKyyDJ7fsEdxvFew+fm2Wovw+Ram+QMj3JCyICaplKKYenMkfF08FD4A0jdr6KsCgxryRlZ6e+wwCM6yl2ptoryADpE53OVdGjQzD2CACP1rav26XNKsziPQBl6IgsKGsDXQE3ug5j5Zbvt42CoZFEgKNzgs83jAmyjUig9XBwIIJDwLFJwwc5cof04G25FW79TaZzUtm14+c1leRxs6HIic8BAm54hyywe+iD8NGXywXdLUsTIecKVeIBNw7Hxos9IQTXDEV5/rJBKrbeJmPENBX+w6fghrfDvX/MIxW5/X39lvYWGKmwl3P6IKJe5BqHUdHeTuEe0Bf14VIEFxdqjBnb08Ge9qxHy2GqcQ81DEJ8/gGUyaeIiwKuva/u+PiHB+W1fmj4V3mksQ+hN+xHagGvOdjLtBYmPz8JV56T8Xfm4i8pJ/JnxJ62dtjS8Wtp4JBF0x99uSwWvv8TEN9Ktlzv0G4hn+WJdEkuwH72i3Jhufd1gKCKh6loe2rqSCLAfMMYK0wl2Wz+8bNf4Ddif8l46Jq2jr2jO0RD0xmfL8Jt75ViCOCL27+H9xpz3cmpIrzhb+C3zpJ+11Fuq/4ZYX9nBcW37+wmV1H5l9J1/EXjDQRtLpJaEY9LESafWyBv2C2UNnY+ltzf0WGZ3JMtM28U74lO4t9a8OoDvejA1yfkuNfY3n7RHsgeDtu2juASDW52nZGiQbveaV+MB27/LK+u/CEntUF+vvwrnOi5D/b8REfnuMPgAEfTCrz7e9Lyd/wzK7pDvtDwEkkGaqrG556d5JV7Uk2VdT1s7QrgdyucvGJsI7equd4w/PSn4ac/Awd+Sv7ZF0XTdK5kKvS3UbRnYme3vMk0fZGot4Owz4niEMwZXsFLE2NtNxJZgn1vAOCovk3+3VCLJulmuMt+soWJnrCXcr2BGhoAdHRfjGdLCUvf1UY40EKSzfzSdmCey+lcyzHa2PLempBq4/9qGIPmJnqSAfxuJ9uSQU6YJHn/G6Uy9oa/BYfC0csZ3IrDVhJJwOMk5HFysRoCoUj7UfceqaS/6eNw38fgnv8G939yScbo8cksD5yabioMVnBoMMr4fImFYk1ujd77QXjzJ6H/uuZnnhxLkwi6V+2aaQWpsIfjdUkobnUcRcfRXjtWpCI7GPdz8mqOz2YkOQ72tanwrILhLj/P5/yQ2g/nH6B/9ruoKIjtr+j42IcGo2RKdY5dLfEr6q+h99+w5Dpbxd37e5glSnZ2UirJxuIZaJLkky7r0W9LMHSEV6gfRrvhHfKee/sDsOte6g2NQlXtiCSbvtmJdElG9iUNy1i4F3bew8PKDcTC7S3+tyaC0k8Ni0ry6HdkYlKoh2JVJeC2F19oYnevPKdjk1nwRvi4563yjTa6PO7pCeMQhiAEEEqxoHRRwbNmTKpV3LIjgeIQfP55WTTeyXgeicpFVyGfIW/YLRxqpb3CPZA/F+yWSnKuwlEjRSaQHG77HFuxvz/CO28b4U8yd/Du2q/RPWDf174cB3fLZ+ll4rh8FjqoSdi2+yAF/Hz+uUnKeBl7+f8rLVIdYEuXn2TIw+MX5+V1fsXvwa8fh6EjHR33B42XSDLw4OkZ0sUab7re2irR4RDs6Q1z4srq7VAB2PFK+Mm/lS0tgblilVpDs91IpBURv6up2u3tgCQLIbe3pxtyMJ26NMp+xxhOm3FDK7DzHoruBN+s7iNbqkOvnAwLgWEUC0rhWjAbQhR8kriofTdQ1wRdgc7tFmbxHkDU1/4gbQ7wo8UWdaUNP7FJTq/4dsDrPwrX/Wzb57QWDvRHFpXk6CC86R+ahWnfv5jm0GDEts8yFfFyJacuejfNAdUTgkP3w03vhpaIo8dH57n/bx7D41T44ButWwMODchr2lSTr/85abtowVNjC1w/HLcd/2YiGfLydFEuGPeJceq+hGyH3Sa2dAV46Owsf1f5Mc6++n83x4TNwHBXgEvpEvq2V8Cl73Mg+x1OuQ+0F3u2DOa1fuT8HJo3hnjHA3DozbaP0x3yovm7CeZlXvSX51JMZY3Ys5Hb+efYu3g6dEdb57grFWJM7eLUod+Bn/+aJAfIbntARyRZCCEr8hfKK97T3/xJfqn6S7YKXFuxJeEnh6FaFudkDNz4Y82W2MVqA7+nveSeHd0hgh4nzxhJMB/J3czHDvwT9NhfiPjcClsTAU5ezTVfy5rXtgNRAeR3c+1QlNm83L3qhCQLIzouk043PclCLbdvt4gOgRD0RHxMpMscN0jyZinJAL/6ih34k0N8VTvSVuLVcgS6pCUkqueaz0G72N4dJOBW+PxzcgGzJdG5D1sIwZGtcR4fTcuoWGgreOCHjZdIMvCvT0/QHfJw2w7ratHe3jCnrubRNGs9yK9k5KTQCUkG6UsG2vJbtiIecDGpStUycP6LhEUJ/6HXdXRM3H6euO97fKrxCs7O5CHSz28738fZwTd1dNg9vWGEgIdm5LXLJo0iqE2wW4As3nMICFlow7wWzAF+gRZlqR27hUGSh7oCcPgtbak/G2F/f4SZfJWZ3NJ81kJV5fhkliNb7dtuesJmVrKxxTe4vjrwJ984Syzg5rPveTnbu62rcQcGIggBz0+svkCdzlW4lC61bbUAqSSPldykHXEcQscV66ya3fQl7x9KsvPGezo61nIMxf3UVI10362g1elpXOVc5OZNOfbOVFBGlRVrhH3tPxsAse4BOXkDn5yI86WjRoa24uLTrtfiD7S36L9tZxIh4MFTM0tez24CSQapyj52YZ4Ly9r05qoaVVVvqzgUIBn04PV4mQjsg2f/F4x+G9RykyQXqipBm41wTCgOaUt6ZjzD2HyRmqrTtaV9j/revsjirilIAQSIdnhtAe7YJRejQY8Tj7P9OE9cfhoodOVPki1VGXLnEWoHdgtj3O0xBJpph8ENNpEke10Kf/O26/mj+w7gb3PXYAlaCWebRXsmFIfg4EBUJnCwWIDcKY6MdDFljNEvFvzIk+SFYo1vn5nlvmv7cSrWL8e+vjCFqmr5yx6fl8HcndgtQPoEY34XI21uJZvoDnk5k5fnsnf2q5Tx4tyELdqdvZIYnpnKM5Wt8C+FwwwPdJYruTMV4t23b+PT40YRlEfaODbq0mYV998wyE8fGbbki10LZjpDWm8lyW0oyYbdYjje+cp9LZg+7OPLdkKeGkvT0HSOjNi3eEjfeGUxm3MdklysqjxzaYHXHOyzHYcY9DjZ0R1cVJKX4ckxWWh3w5b2bSqmH/uEYbkQbSZbmDAnmF+4pfMt1eUwCfh5z350I5t8quf2TTm2U3E07Uhhb2eEaHh4S/PPc8HdPDex+P1lSvW2VclkyMPhwSgPnJpe8vpmkeT33b0br8vBr3zqWapqo/m6ucC0kwLTCiEEWxMBPh78RdkZ7/O/LK1KW25G13Vpt2iTJANcOxTj9FSOZ8bldTabUbWDg/0RJjNlaTsBMmUZ3dXptQUZSwkQC3R4LCE4P/JW7hWPcc+J9/Kvjt+RhHeHTa9vkyRLW0VPRM6RXduuk2k9qf2dnecybO8O8pYjm7SzFGwpLk52buk6PCTnr56wt6N7sRUvM+aW74/Ob8rxfhj4kSfJD5yapqHp/PgBexPhoUF5A33s4dHFrYN1cPRyFo/TwbZkm+kRBt5zxza+/hu32SL0q+GWHQken5ak0KeXOB06simd3foiXkIeJ2en83zzpMxevsNCYshG+I27dlLqv4V7qv+Nt31dw604mgShU/zY7hQfeH1ng5/pz1tokmTRVjxfKuxhJBHghg6U0I2wr08q88cu55a8/vjFNE6HaEat2cFIMsDVbIVnHfth4AaIr00InxhLo2o6t6zT2XI9HBqI8vxEZtXn7qmxBXwupSM7UspQj85jqEZtJluYeN3hPv7r6/Zxz/7OjrMaho0YuPGMSn3kLk5ow7i7O7RNtcC0XHRKkv1m0VhsKzuGB5cscjLlOrEOtu5fuSfF85ezS3ZGNosk90S8/Pc3HuLk1Rwf+vqZ5uumwtZOwxoTWxMBvpkfknn7pTn53HhCVFUNVdPbVpJBxiVqOvzvpyZQHILt3e3PO+Z9+0VD/c+YSnKHnmSQO7KJoIf4JljntFd+gA/W7+fG6mNowgm/8A0YuN7eQUySHJUkeU9viIBb4VV33ikL9FOdKbQ/ULj9i3NOh0oyLD777dZ2rIZtySCJoJvHR9Mbf/gFgh95kvz1E9P0RbxLCrisYE9vmHfeNsKnHr/Ef/va6Q2J8vMTGfb3R3B1SG69LqWjgdnE3ft6qOGi4pSkbnags+paE0IIdvaEOD2V5+snphlJBDoaoE24FAcf+enr2H/ty/mj+w7wyPvvZCD2g1Nb7cLtdBDyOkmbdgtvGBz2v2shBA++9w7e9rItm3uCLQh4nIwkAou+ZAOPj85zcCDS1tbfL9yylZtG4rzxie18/WWfWLdo5Hvn5nA7HW1bIg4NRpkv1ri8ilf0ybE01wxFO3rOTHXb3Wukx7SZbGEi6nfzMy/b0pEvfy30Rb04HYLxdJHxWz/I/bXfa9snuxpMMaBTuwVBYyu47zCHBiNMpMvMF6pomk6mVOuoHuAVe+SW/bdOL1ouNoskA7xyb4qfONTHp5+6LLs9AjN5ScjNeol2sCURYHKhTPUOo3X2Ltlx7dy0tHYMdrCbdHgoihAyU3xLl7+jzqSDcT/XDcf4guFPnTIWI+EO7GkmHA7B771mD2+/pfNYxB2pEH8n7uO11Q/wW/G/bMuDTahHKvpG0flwV4Dj/+VurhuOd9TB8oeGYEoWewc7LMIHrjGU5C2bSJKFENy4Nc7jF18iyS8KlGoqD5+b5VX7etoq8nn/vbt5601D/M13R3nw9Myan6s3NI5fyTZXZi8EbE0E2JkKMqUGqekK7t2b55XcmQpx8kqO74/Ot31tV0N/1MeH3nSItxwZ2pSFwmYjHnATCIRkZXSHzRx+0NjfH1lSeFqqqRy9nOXISHsxgF6Xwv/42Rs40B/hN//3c5Rq6pqffeT8HNcPx9qeuA8PLiveMzBfqHLyaq4tT3UrtncHuXNXkpfdZHh7O1SSf5BwKg76Yz7G50tcLQoK+JvFvZsB81p3qiQ3J+3ew81x8OjlLPmqiqZ3liyzKxViIObjWy2Wi9wmFZeZeNXeFNlynecvy2dmphmV2D5JHkkE0HSYUKPwGyfg5b8KtFqG2t9NCntdzTSkTqwWJl53uI/TU3m+fWaGTzw2zh27kh3vZi4eu5+fONTZQhTks7C3L8xRfRsOf5vXLjoIv30ett7afGmz5q8fCrp3S6vbJpxzKuzlPXds443XbZ4PG+DI1q4l9p0XOn6kSfJ3z8xSVTXu3tfeJCiE4Pd/Yh/JkId/emJizc+dnc5TqWscGuy84nwzcfe+Ho43hvi6dgPbBjsfpEzsSgUpVFVUTf+BbDG/UJEKe6Vq7u/alHSBHyQO9Ee4mq00K8sfOjuHqukc2dq+lzfocfL+e3dTrDX41qnVF41zhSqnp/Lc3KbVAuSk73Y6eGpsYcnrD5+bQ9c7t/d4XQof/7kbGTl8B7zi/4E9r+noeD9oDMX9nJ3ONxMjUh2om8sxEPOxvTvYOdHq3itzsw+8kf39Mqv7uYkMmZL0t3aydS+E4JV7Ujx0do73/svzfOBLJ/nTb57F6RCboiQD3LI9gUPAQ2dlZ9KZfBWfS+nIEmFuY4/OFmUKjLHz9PT4Av1RH72RzpTLaw3b1K5U+9YjE68+0IviELz7E0/T0HU+8LrN9eZuFswd4U6+l83Opv+h4r6PwRv/ftMO9757drdlv1sPpg/9C0b03wsdP9Ik+Wsnpoj5XR2t2J2Kgzdc08+3z8w0CcdymJX4pirzQsHd+3r45fqv8rvi1zpO3WjFrh45KPeEvRy0aWN5MeOPf/KgjDMLJF7wA+1NhmL8R185RaZU4/e/cIKRZKD5eru4YUuc7pBnMb1gGR69IAs2OiHJLsXBXXtSfOqJS0uq7r97dpZ4wG3bOrUmHArc+lub3vVws/HqA72cnS7wFw+eA7BdDLkehBB88zdu4+23dlh0qLjgxz8EkQECHic7UyGev5xpfn+dtph/1+3buGtvigdOTfMPj45xZGsX//yLN3WWmNCCWMDNwYEo320hyamwpyOV0dzGPtFyD+u6zlPj6Y7SWUyY5GYzlORE0MMt2xNU6hq/edfOjqwgP0iYRcmdJBW9qOH2b0rb7B8ktiQC3Ly9i09+f5yGxXSwf0/8iN5JsoHIg6dnuGdfT8fbRm+6foC/eWiUf3t2knfctnIyeW5igZjfxdALbGDZ1xemP+qnO+zpKNlhOcxB+VX7Upt63Bc6mgUO934QnJsTT/eDwv7+CO991U4+9I2zPD2+wFyhyud+5uaOvIsgo4NefaCXTz1xiXylTmjZNv0DJ6cJeZ0dE9n/+rp9PDmW5pf/6Rm+9Cu34HUqPHR2ltt2JH6k7jmAN98wyJMX03z22UkiPtf/ae/Og6sq7zCOf3/Z2AIEwaBAwh4sIhGIYbHIoiJ2UbRaAaUKKrWCdSlTpNNqHZfOVDu1UyjWUcGxraLojNa6tXXUsYoaFCIUkEUERMKmrAUM/PrHOZDLJQu59x6SmOczc4eT95x778nDgfc973nPe5L+O4wXxeXmwk45vLzkC5Z8voOC9tkM7p7cydkprZsy68r+HDrk7P36YHI9iVUYVnAyf3x9JWU797F0446kx363bpbJt3u0Y/YbqxnUrS2Du7dlw5f/o2znfopS0Hs3us8prN6ym3MKEj8hjTV1ZA86tWnGpLNT81j1KFT0JKfmCoJEY8Kgztzwlw95fflmzu9dv+dKbrQ9yQcPOdNG9WJscXLTkwH0yG1Jv/wcni5ZX+kNfIvX76AwL6fejW0yM2Zf1Z97xyT4tKsqnNQii4cnDODmc1N3l32Dkj8QOiT2SNkTacqIHny/sAPrtu/l1vMLOKNTanpgv9f3VA6UHzpmWq6VZbt4sXQjVxTlJX0TW9vsJjw49kw+3bqH25/9mNLPd7Btz4Ej8642JmbGfZeeQZ+OrWr1pMS6VJiXw8595ezeX87M8f1T1rBPS7NIGsgQzMl8yGHcwwtYs2UP16bgZrNZ4/vTuW1zJj9RwopNuyj5LBiPPKBz8lf9OdtKAAAJAklEQVSisptkMH30aamZg5fgKtG9l5yRsrHIUeiZm02H1k1TcrO4ROe8b7WnfasmPLHgs7relRpFdrSb2WgzW2Fmq8zs9qi+J1HNstK5ekiXlPxnBHD5gDxWbt7NgripTXbvL+eTzbvq1U17sfp2yklquqyqjDr9FNqmaB5jiYaZcf9lfZk78SxuGNY9ZZ/bP78Np7ZuyouLvziq/IHXVtA8K4MbR/RIyfcM6d6OaaN68cLijdzy1EeYBQ2ZxqhpZjrzbxjC3InJPTr2RBnY7STS04J7OgraJz8c4EQo7NSa1s0yWbN1D7edX5DwvSyxWjfPZO6kYpplpnPNnPf5R+kmWjbJSMkQicYoIz2Nt6ePTN3cwxKJjPQ0xhd35q1PtrB265663p1qRdJINrN0YBZwIdAbGGdm9XiCweSN6deBjjnNuOP5JRwoP3Sk/N/LynCn3t20JwJB42p4r9yUTk+WlmaM6deR11dsPnKj06L1X/Hq0jKuH9otqcfPxrtxeHeuKMpj7ba99O2Uk9LPbmiaZqan7Ea1qHU/OZvSO0cxtrjhNGYy0tOYdHZXJgzqzE0jU3OiB8GsPXMnFrNrXzn/WlZGv85tIpkusLFobMOtGqpxxXmce1ou+2PaS/VRVD3JxcAqd1/j7geAp4Akn3lcvzXPyuCeMX1YuXk3f35zNQDvrt7Gz+eX0qdjK4Z0T824MJGG4Kcje1KQ25Jb5i3i2YUbuO7xD2iXncW1Q1M7ntHMuOeSPlw9uDNThqeuN1yil6qneJ1IN5/Xk7vH9En50LneHVrx0FUDyEw3zk5yfLZIQ5DbqimPXnNWvb9qYsfztLhaf6jZZcBod78u/HkCMNDdp1a2fVFRkZeUlKR8P+rC1L99yKtLN9GlbQvWf7mXvDbNmffjwY26h0sap1Wbd3PxzLfZc+Agvdq3ZOb4fvRsIJfWRepC2c59nNQiK+mHTolI9cxsobvX+EjGqE7lKzvNPqo1bmaTgckA+fkN55JbTe666HRaNs1gx/++pn9+G24bVaAGsjRKPXKzmX3VAErWbufGET1SPuuCyDdNKqfvE5HkRdWTPBj4tbtfEP48A8Ddf1PZ9t+knmQRERERqb+Otyc5qms6HwA9zayrmWUBY4EXIvouEREREZGUimS4hbuXm9lU4FUgHXjM3ZdG8V0iIiIiIqkW2e3F7v4S8FJUny8iIiIiEhXdQisiIiIiEkeNZBERERGROGoki4iIiIjEUSNZRERERCSOGskiIiIiInEieZhIrXfCbAvwWV3vRw3aAVvreicaKGWXOGWXOGWXOGWXOGWXOGWXOGVXO53d/eSaNqoXjeSGwMxKjufpLHIsZZc4ZZc4ZZc4ZZc4ZZc4ZZc4ZRcNDbcQEREREYmjRrKIiIiISBw1ko/fw3W9Aw2YskucskucskucskucskucskucsouAxiSLiIiIiMRRT7KIiIiISJxG20g2s8fMbLOZLYkpm2dmi8LXWjNbFLNuhpmtMrMVZnZBTHmOmc03s+VmtszMBp/o3+VEq2124fp8M9ttZtNiypQdVWdnZplm9riZfRzmMyPmPcouKDvTzBaE2ZWYWXFYfqWZlYavd8ysMOY9yo6qswvXDQ/Ll5rZmzHlyi4oKzSzd8N/m383s1Yx61RXhGqbXbhedQW1y051RYTcvVG+gHOA/sCSKtb/DrgjXO4NLAaaAF2B1UB6uO5x4LpwOQvIqevfrT5lF1P2LPAMMC2mTNlVkx0wHngqXG4OrAW6KLuK7IDXgAvD5e8Ab4TLQ4A24fKFwHsx71F21WeXA/wXyA9/zlV2x2T3ATAsXJ4E3B0uq65IMLuY9aoran/cqa6I6NVoe5Ld/S1ge2XrzMyAHwJPhkUXExyA+939U2AVUByexZ0DPBp+5gF3/yryna9jtcwOMxsDrAGWxpQpuziVZOdACzPLAJoBB4Cdyu7oYuBwT1RrYGO47Tvu/mVYvgDoBDru4oupJDuCCvc5d18XvnczKLu44l7AW+HyP4EfhMuqK2LUMjvVFTFqmZ3qiog02kZyDYYCZe6+Mvy5I7A+Zv2GsKwbsAWYY2YfmdkjZtbixO5qvXNUdmEe04G74rZTdseKP+7mA3uAL4B1wAPuvh1lF+sW4H4zWw88AMyoZJtrgZfDZWVXoarsCoA2ZvaGmS00sx+F5cquwhLgonD5ciAvXFZdUbNKs1NdcVyqOu5UV0REjeTKjSOmJxSwSrZxIIPgcshsd+9HcJDeHv3u1Wvx2d0F/N7dd8dtp+yOFZ9dMXAQ6EBw6fZnZtYNZRfrJ8Ct7p4H3ErYY3KYmY0gaCRPD4uUXYWqsssABgDfBS4AfmVmBSi7WJOAKWa2EGhJ0HMHqiuOR1XZqa6oWVXZqa6IiBrJccLLFZcC82KKN1BxxgbBpduNYfkGd38vLJ9PcEA2SlVkNxD4rZmtJei5+oWZTUXZHaWK7MYDr7j71+El7/8ARSi7WFcDz4XLzxBUFgCYWV/gEeBid98WFiu7ClVlt4HguNvj7lsJLu8WouyOcPfl7j7K3QcQnNiuDleprqhBNdmprqhBNdmproiIGsnHOg9Y7u4bYspeAMaaWRMz6wr0BN53903AejPrFW53LsENL43VMdm5+1B37+LuXYAHgfvcfaayO0Zlx906YKQFWgCDwm2UXYWNwLBweSRweJhPPkEDcIK7f3J4Y2V3lEqzA54HhppZhpk1J2i8LFN2FcwsN/wzDfgl8FC4SnVFDarKTnVFzao57lRXRCSjrnegrpjZk8BwoJ2ZbQDudPdHgbEcfckbd19qZk8THFzlwBR3Pxiuvgn4q5llEdxwMPEE/Qp1pjbZ1UDZVZ/dLGAOwTg0A+a4e2m4TtnBncD1wB/Cnvh9wORw8zuAtsCfgvshKXf3onCdsqsmO3dfZmavAKXAIeARdz88DZWyC7LLNrMp4SbPEfw7VV0RpzbZ1UDZVZ+d6oqI6Il7IiIiIiJxNNxCRERERCSOGskiIiIiInHUSBYRERERiaNGsoiIiIhIHDWSRURERETiqJEsIiIiIhJHjWQRERERkThqJIuIiIiIxPk/162ugo+oXisAAAAASUVORK5CYII=\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def create_ra_features(x, order):\n", + " y = x.copy()\n", + " # create features by shifting the window of `order` size by one step.\n", + " x = np.array([y[-(i + order):][:order] for i in range(y.shape[0])])\n", + " \n", + " # make sure that we end with even array so that the stack operation succeeds\n", + " x = np.stack(x)[::-1][order - 1: -1]\n", + " y = y[order:]\n", + " \n", + " return x, y\n", + "\n", + "def create_ma_features(eps, y, order):\n", + " eps = np.array([eps[-(i + order):][:order] for i in range(y.shape[0])])\n", + " eps = np.stack(eps)[::-1][order - 1:]\n", + " # eps_t is known when predicting x_t so the labels are in the same phase /lag\n", + " # as the features eps.\n", + " y = y[order - 1:] \n", + " return eps, y\n", + "\n", + "\n", + "# https://en.wikipedia.org/wiki/Autoregressive%E2%80%93moving-average_model \n", + "def ra_model(y, eps, order=2):\n", + " x, y = create_ra_features(y) \n", + " \n", + " # Move eps_t to other side of equation\n", + " add = eps[:y.shape[0]]\n", + " y -= add\n", + " \n", + " m = linear_model.LinearRegression(fit_intercept=True)\n", + " m.fit(x, y)\n", + " \n", + " return m.predict(x) + add, m\n", + "\n", + "\n", + "class ARMA:\n", + " def __init__(self, p, q, sigma=None):\n", + " self.p = p\n", + " self.q = q\n", + " self.MA = None\n", + " self.RA = None\n", + " self.m = None\n", + " self.sigma = sigma\n", + " \n", + " def prepare_features(self, x):\n", + " eps = init_eps(self.q, x)\n", + " \n", + " # create features by shifting the window of `order` size by one step.\n", + " x_ = None\n", + " ma_features = ra_features = np.zeros((x.shape[0], 1))\n", + " if self.q > 1:\n", + " ma_features, x_ = create_ma_features(eps, x, self.q + 1)\n", + " if self.p > 0:\n", + " ra_features, x = create_ra_features(x, self.p)\n", + " x = x if x_ is None or len(x) < len(x_) else x_\n", + " del x_\n", + " \n", + " eps = eps[:x.shape[0]]\n", + " ma_features = ma_features[:x.shape[0]]\n", + " ra_features = ra_features[:x.shape[0]]\n", + " eps_t = ma_features[:, :1]\n", + " ma_features = ma_features[:, 1:]\n", + " return np.hstack((ma_features, ra_features)), eps_t.ravel(), x\n", + " \n", + " def fit_predict(self, x): \n", + " # move eps_t to left side of the equation\n", + " \n", + " features, eps_t, x = self.prepare_features(x)\n", + "\n", + " x = x - eps_t\n", + " model = linear_model.LinearRegression(fit_intercept=True)\n", + " model.fit(features, x)\n", + " self.m = model\n", + " \n", + " return model.predict(features) + eps_t\n", + " \n", + " \n", + "q = 0\n", + "p = 3\n", + "\n", + "m = ARMA(p, q, sigma=1)\n", + "pred = m.fit_predict(x)\n", + "print(m.m.intercept_, m.m.coef_)\n", + "# print(m.RA.intercept_)\n", + "# m.RA.coef_\n", + "\n", + "plt.figure(figsize=(12,4))\n", + "plt.plot(data)\n", + "plt.plot(data.index[data.shape[0] - pred.shape[0]:], pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 354, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.6/site-packages/statsmodels/tsa/base/tsa_model.py:171: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n", + " % freq, ValueWarning)\n", + "/opt/miniconda3/lib/python3.6/site-packages/scipy/signal/signaltools.py:1341: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " out_full[ind] += zi\n", + "/opt/miniconda3/lib/python3.6/site-packages/scipy/signal/signaltools.py:1344: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " out = out_full[ind]\n", + "/opt/miniconda3/lib/python3.6/site-packages/scipy/signal/signaltools.py:1350: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " zf = out_full[ind]\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 354, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "p = 3\n", + "q = 0\n", + "m = sm.tsa.ARMA(data.copy(), (p, q)).fit()\n", + "plt.figure(figsize=(12,4))\n", + "plt.plot(data)\n", + "plt.plot(data.index, m.model.predict(m.params, '1700', '2008'))" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/miniconda3/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n", + " return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12,8))\n", + "ax = fig.add_subplot(111)\n", + "fig = qqplot(m.resid, line='q', ax=ax, fit=True)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "m.resid" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.6.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}