{ "cells": [ { "cell_type": "markdown", "metadata": { "nbpages": { "level": 0, "link": "[](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html)", "section": "" }, "pycharm": {} }, "source": [ "\n", "*This notebook contains material from [CBE40455-2020](https://jckantor.github.io/CBE40455-2020);\n", "content is available [on Github](https://github.com/jckantor/CBE40455-2020.git).*\n" ] }, { "cell_type": "markdown", "metadata": { "nbpages": { "level": 0, "link": "[](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html)", "section": "" }, "pycharm": {} }, "source": [ "\n", "< [7.4 Real Options](https://jckantor.github.io/CBE40455-2020/07.04-Real-Options.html) | [Contents](toc.html) | [7.6 Portfolio Optimization using Mean Absolute Deviation](https://jckantor.github.io/CBE40455-2020/07.06-Portfolio-Optimization-using-Mean-Absolute-Deviation.html) >
"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 1,
"link": "[7.5 Portfolio Optimization](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5-Portfolio-Optimization)",
"section": "7.5 Portfolio Optimization"
},
"pycharm": {}
},
"source": [
"# 7.5 Portfolio Optimization"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 1,
"link": "[7.5 Portfolio Optimization](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5-Portfolio-Optimization)",
"section": "7.5 Portfolio Optimization"
},
"pycharm": {}
},
"source": [
"This [Jupyter notebook](http://jupyter.org/) demonstrates the formulation and solution of portfolio optimization problems."
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.1 Import libraries](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.1-Import-libraries)",
"section": "7.5.1 Import libraries"
},
"pycharm": {}
},
"source": [
"## 7.5.1 Import libraries"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true,
"nbpages": {
"level": 2,
"link": "[7.5.1 Import libraries](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.1-Import-libraries)",
"section": "7.5.1 Import libraries"
},
"pycharm": {}
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import random\n",
"\n",
"# data wrangling libraries\n",
"import pandas_datareader.data as web\n",
"import pandas as pd\n",
"import datetime\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.2 Load Price Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.2-Load-Price-Data)",
"section": "7.5.2 Load Price Data"
},
"pycharm": {}
},
"source": [
"## 7.5.2 Load Price Data\n",
"\n",
"Here we create several groups of possible trading symbols, and select one for study."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.2 Load Price Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.2-Load-Price-Data)",
"section": "7.5.2 Load Price Data"
},
"pycharm": {}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['mmm', 'axp', 'aapl', 'ba', 'cat', 'cvx', 'csco', 'ko', 'dis', 'dwdp', 'xom', 'ge', 'gs', 'hd', 'ibm', 'intc', 'jnj', 'jpm', 'mcd', 'mrk', 'msft', 'nke', 'pfe', 'pg', 'trv', 'utx', 'unh', 'vz', 'v', 'wmt']\n"
]
}
],
"source": [
"# Companies of the Dow Jones Industrial Average\n",
"djia = ['mmm','axp','aapl','ba','cat','cvx','csco','ko','dis','dwdp',\n",
" 'xom','ge','gs','hd','ibm','intc','jnj','jpm','mcd','mrk',\n",
" 'msft','nke','pfe','pg','trv','utx','unh','vz','v','wmt']\n",
"\n",
"# Representative ETF's and ETN's from the energy sector\n",
"energy = ['oil','uso','uga','uhn','kol','ung']\n",
"\n",
"# Standard indices\n",
"indices = ['^dji','^gspc']\n",
"\n",
"# pick one of these groups for study\n",
"syms = djia\n",
"print(syms)"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.2 Load Price Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.2-Load-Price-Data)",
"section": "7.5.2 Load Price Data"
},
"pycharm": {}
},
"source": [
"Price data is retrieved using the Pandas DataReader function. The first price data set consists of historical data that will be used to design investment portfolios. The second set will be used for simulation and evaluation of resulting portfolios. The use of 'out-of-sample' data for evaluation is standard practice in these types of applications."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.2 Load Price Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.2-Load-Price-Data)",
"section": "7.5.2 Load Price Data"
},
"pycharm": {}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mmm ok.\n",
"axp fail. Try again. ok.\n",
"aapl ok.\n",
"ba fail. Try again. ok.\n",
"cat fail. Try again. ok.\n",
"cvx ok.\n",
"csco fail. Try again. ok.\n",
"ko ok.\n",
"dis ok.\n",
"dwdp ok.\n",
"xom ok.\n",
"ge ok.\n",
"gs ok.\n",
"hd fail. Try again. ok.\n",
"ibm fail. Try again. ok.\n",
"intc ok.\n",
"jnj ok.\n",
"jpm ok.\n",
"mcd ok.\n",
"mrk ok.\n",
"msft ok.\n",
"nke ok.\n",
"pfe ok.\n",
"pg ok.\n",
"trv ok.\n",
"utx ok.\n",
"unh fail. Try again. ok.\n",
"vz ok.\n",
"v ok.\n",
"wmt ok.\n"
]
}
],
"source": [
"t2 = datetime.datetime.now()\n",
"t1 = t2 - datetime.timedelta(365)\n",
"t0 = t1 - datetime.timedelta(2*365)\n",
"\n",
"Prices = pd.DataFrame()\n",
"PricesSim = pd.DataFrame()\n",
"for s in syms:\n",
" print(s,end='')\n",
" k = 3\n",
" while k > 0:\n",
" try:\n",
" Prices[s] = web.DataReader(s,'yahoo',t0,t2)['Adj Close']\n",
" print(' ok.')\n",
" k = 0\n",
" except:\n",
" k -= 1\n",
" print(' fail. Try again.',end='')"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.3 Plot Price and Returns Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.3-Plot-Price-and-Returns-Data)",
"section": "7.5.3 Plot Price and Returns Data"
},
"pycharm": {}
},
"source": [
"## 7.5.3 Plot Price and Returns Data"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.3 Plot Price and Returns Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.3-Plot-Price-and-Returns-Data)",
"section": "7.5.3 Plot Price and Returns Data"
},
"pycharm": {}
},
"outputs": [
{
"data": {
"text/plain": [
"84.020606999999998"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"idx= Prices.index\n",
"Prices.loc[idx[1],'axp']\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.3 Plot Price and Returns Data](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.3-Plot-Price-and-Returns-Data)",
"section": "7.5.3 Plot Price and Returns Data"
},
"pycharm": {}
},
"outputs": [
{
"data": {
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LUvY71GmbXuEF3PbfhPNttnDhwjhvb+/yvLw81blz5/B7770388knn0x68MEHA7p165Yf\nGhpadPvtt+ccOnTINi4uzm7u3LlxgwYNyr/rrruC3n33Xc+pU6cm12ncJtLzLIQQQghhAXtS9wDQ\n0bMBJ8/1aPr06d6hoaHhXbt2DUtKSrKJjo62e+aZZ9Jyc3OtvvzyS8///vefBNzHx6dk0KBB+QBj\nx45N37x5s5Ol4pKeZyGEEEIIC9h0chOONo6EuoXWdygXrxY9xJawbNky5w0bNjjv2LHjoLOzc0WP\nHj1CCwsLDbm5uYakpCRbgJycHCs3N7cKAKVUtf1P/7kuSc+zEEIIIUQdKa8op7iimMKyQn6P+52B\ngQOxsbKp77AanKysLCtXV9dyZ2fnit27d9vt2bPHEeDxxx/3v/POO9OnTJly6v777w+s3D4xMdF2\n9erVjgALFy507927d56lYpPkWQghhBCijrz+9+tMTpjMmuNrKCgrYHjL4fUdUoN0xx13ZJeVlamQ\nkJCI5557zr9jx47569atc4qMjHR84403kh599NEMGxsbPWvWLA+AoKCgog8//NArJCQkIisry3ry\n5MmplopNyjaEEEIIIerI0pilAMzdMxdfR1+6enet54gaJnt7e71x48aYGlYlVr74/fffjwIcOnTI\n1tramp9//jn2csQmPc9CCCGEEHXEy94LgLicOG4JuQWDklSrsZHfqBBCCCFEHWlq19T8eljIsHqM\n5OoRGhpaEhMTE325jifJsxBCCCFEHcktyQWgQ7MOhDQNqedohCVI8iyEEEIIUQe01mQWZdLFoQuz\n+s2q73CEhUjyLIQQQghRBwrLCikqL6KFbQua2Ter73CEhUjyLIQQQghRB9KL0gFwsrLY5HbiCiDJ\nsxBCCCFEHcgsygTAySDJ85XimWee8Xv55Ze967JNSZ6FEEIIIepARlEGAM5WzvUcibAkSZ6FEEII\nIeqAJM91a8CAAS0jIiLCWrVqFTFjxoxmAPfcc09Au3btwlq1ahXx9NNP+1Vu6+/v337ixInN27Rp\nE96+ffuwqKioJpaKS2YYFEIIIYSoA5XJc2Mq2/i/v/6vxZHMIw512WYrt1YFr1/7esL5tlu4cGGc\nt7d3eV5enurcuXP4vffemzlz5syT3t7e5WVlZfTu3Tt069at9j179iwEcHV1LTt8+PD+OXPmeEya\nNKnFunXrjtRl3JWk51kIIYQQog5kFGVgb22PrcG2vkNpFKZPn+4dGhoa3rVr17CkpCSb6Ohou/nz\n57uHh4eHhYeHh8fExNjt2bPHrnL7++67LwPg4Ycfzti9e7fFvsFIz7MQQgghRB3IKMrA3c69vsOo\nU7XpIbaEZcuWOW/YsMF5x44dB52dnSt69OgRGhUVZTdnzhzvnTt3HvD09Cy/4447goqKiswdwQbD\nP33CSiltqdik51kIIYQQog5kFmXiYedR32E0CllZWVaurq7lzs7OFbt377bbs2ePY05OjpW9vX2F\nu7t7eUJCgvX69etdq+6zYMECd4DPPvvMrXPnzvmWik16noUwKa0oJSotis5enes7FCGEEA1QRlEG\n3g51OiraVeuOO+7I/uSTTzxDQkIiQkJCijp27JjfuXPnwsjIyIKWLVu28/X1LenatWte1X0yMzOt\n2rRpE25ra6u//fbbY5aKTZJnIUze2voW3x3+jp9v+5kQ15D6DkcIIUQDk1GYQZh7GJTWdyQNn729\nvd64cWPM6cuHDh2ae7Z9Xn755eSPP/74ZNVlM2fOPFXXsUnZhhAm3x/+HoBjWRb7siqEEKKR0lqT\nUdz4ap7FmSR5FgI4kH4AjfHZgmPZkjwLIYQ4tze3vsntv9zOgfQDgHFq7rKKMjzspea5Ppw8eXKf\nr69v2eU4lpRtiKue1pq3t72NWxM3SitKOZp1tL5DEkIIcYVYfmw5dtZ29AvoB0BMZgxLY5ay6OAi\nrJQV9yy/h/sj7jf3OHf17kpKSkp9hiwsTJJncdUoryjHymBl/jmtMI3nNjxHV++u7ErZxSu9XmF1\n/GrpeRZCCAFASXkJb2x9g0DnQDztPXlz65tEpUdhUAbauLXhvevf4+M9HzNv3zwAfBx9CHMPIwVJ\nnhszSZ5Fo6e1ZtrWaWw8sZGFNy/E08GTTSc38fa2t4nPiWdH8g7C3MMY0WoEqQWpfLznYw5mHCTU\nLRSlVJ3EEJcdR6BLYJ21J4QQwvI2ndxEbkkuUelRPLrmUeyt7Xm++/MMDRmKm50bANOvm864iHHM\n3TOXa3yvkb/zVwGpeRaN3vak7Sw+tJjE/EQeWf0IB9IP8OjqR4nPiTdv82KPF7EyWHFbq9vQaO76\n9S6+j/n+go/19f6veWrdU+xL3cfGExvZmriVlbErGfbTMJYdW1aXpyWEEMLCVsSuML/OLs7m/Rve\nZ2z4WHPiXCnCI4LZ/WYzJmzM5Q5R1APpeRaN3v70/QBM7zud6dunc/eyuwFo59GOKT2nYDAYiPCI\nAMDXyZfHOz3OnMg5/BjzI3e1uavWx4lMiWT69ukArDm+5oz1G09sZFjLYZd6OkIIIS6DgtIC1ies\nx9Pek9TCVABC3UPrOaqrx6FDh2yHDh3aOiYmJrq+Yzmd9DyLRi82JxYPOw9uDrmZn279iSHBQwh2\nDeaLIV/Q3rO9OXGu9EjHR3im6zPsS9tHQk7tZyU9vWf5i8Ff8M5175h/3pa0jQpdcWknI4QQ4rJY\nm7CWovIi7ou4z7zMxmBTjxGJK4Ukz6LRSS9MZ8TPI3hq3VOsjF3JwYyDBLsGA+Bm58Y7173DL7f9\ngp213VnbuCn4JgCWxy5Ha010WvQ5E98KXcG64+voH9Cfl3u9zJt93qSbTzduCr6JX2/7lX/3+DcZ\nRRmcyD1RtycrhBDCIlbErsDH0YdbQm6p71CuWmVlZQwfPjw4JCQkYsiQISG5ubmGyZMn+7Zr1y6s\ndevWEaNHjw6sqLj8nVIWK9tQSrUAFgDegAY+0VrPUkq5A4uBICAOGKm1zjTt82/gIaAceEJrvcpS\n8YnG68cjP3Ik6whZxVnm8onhLYdfUBs+jj509e7Kb7G/4dLEhTe3vskdre/g+e7P42DjcMb2iw4u\nIqUwhVtCbmFg4MBq64Jcg8gtMU6IFJMZQ4BLwEWemRBCiMshqyiLzSc3MzZiLB52HtzR+g6Ghgyt\n77Dqxakp/2lRHBNz5gffJWjSunWB35vTzntrNy4uzm7u3LlxgwYNyr/rrruC3n33Xc/nnnsuZcaM\nGYkAt912W/C3337rOmbMmOy6jO98LNnzXAY8q7UOB64BHlNKhQMvAmu01q2BNaafMa0bBUQAQ4CP\nlFJWNbYsBLD08FJmbJ9Bfmm+eVliSSJf7f+K7j7dWX3naqb2ngpAuEf4Bbd/c/DNxGbH8v7O943H\ni1nKwO8HMnvXbCJTIknOTwYgISeBWbtm0ce/DwMCBtTYVsumLQE4nHX4guMQQghxef0e/ztluoyb\ng29GKcWrvV+lm0+3+g7rquPj41MyaNCgfICxY8emb9682WnFihXOHTp0aNumTZvwzZs3O0dFRdlf\n7rgs1vOstU4EEk2vc5VSBwB/4FbgBtNm84H1wAum5d9qrYuBWKXUEaAHsMVSMYqGK6UghVe3vAoY\nE9O27m35KPIjdqfsxsrGiik9pmBlsGJE6xF08e6Cn6PfBR9jYOBA3tr6FkVlRSweupiS8hLmR8/n\n032fMm/fPELdQlkybAmvbHkFK2XFK71eOesQRQ42DjR3as6RzCPVllfoCgxKqqeEEOJKsjJuJcGu\nwYS6yQOCtekhtpTTP1OVUjz77LOBW7du3d+qVavSZ555xq+oqOiyf4helgMqpYKAzsBWwNuUWAMk\nYSzrAGNiXfUXdMK0TAgAJq2dxMhfR7L51GZ2Je8yL1+wfwH3rbyP9SfWk12ezajQUbRya2VeH+gS\niI3VhT/k4WbnxpiwMTzU/iHCPcLp5NWJ9298n2UjluHn6MehzEOsilvF9qTtTO42GR9Hn3O2F+4R\nzpbELSTkJFChK/hw94d0+aoLK+NWXnBsQgghLKO0opS9qXvp499HxmyuZ4mJibarV692BFi4cKF7\n79698wB8fHzKsrOzDb/++qvbuVuwDIsPVaeUcgKWAk9prXOqvhG11loppS+wvQnABABvb2/Wr19f\nh9E2DHl5eVfdeRdXFLMxYSMAj/zxCA4GB2yVLZ0cOrEtaxtBtkHY29lzoOgAHqkedXZ9utMd4Iz2\n+tv156v8r/jo749wNDjidtKN9afOfcxrSq9hU9kmHlz2IG3s2rAx13g+87fNxy7O+PBiYUUhGWUZ\n+NsavzdGFURRpIvo5nhptwuvxvfM+cg1qZlcl5rJdTm7xnZtTpScoLi8GEOK4aLPq7Fdk/oSFBRU\n9OGHH3pNmDDBoXXr1kWTJ09OzczMtAoLC4vw9PQs69ixY/75W6l7Fk2elVI2GBPnhVrrH0yLk5VS\nvlrrRKWUL5jnsDwJtKiye3PTsmq01p8AnwB069ZN33DDDZYK/4q1fv16rqbzTs5P5mj2USoSKph1\n4yxO5J5g7t65XOt7LU93eZpV8asYGz4WheLb1d8ycuBIi8fULK0ZX/32FXElcQwJGkK/6/vVar/A\nxEAe+eMRknKTGBYyDGdbZ36I+YHcFrm427kz/e/pnMw7yWu9X6ONexs+X/457nbuTL5l8iXFe7W9\nZ2pDrknN5LrUTK7L2TW2a/P94e8hEUb2HXnRD3g3tmtSH0JDQ0tiY2PPGON59uzZp2bPnn2qPmKq\nZMnRNhTwGXBAaz2zyqpfgPuAt03//7nK8m+UUjMBP6A1sM1S8YmGYVXcKp7b8Bwa4w2Kbj7d6BfQ\nj1FtRwFga2XL+PbjzdsHNLk8I1kEuQSZX1/rf22t9+vh24OXe73MZ1GfManzJNIK0/jpyE9M2TQF\nAC97LyI8Ipi5cyaONo6UVpSSXJBMQWlBjaN8CCGEqFuHMg7hZONEC+cW599YXJUs2fN8LTAW2KeU\nijQtm4IxaV6ilHoIiAdGAmito5VSS4D9GEfqeExrXW7B+MQV7seYH5m6ZSqONo5ENIuguVNzXGxd\nAGPSXJ+cbJ1o7tQcexv7Cx4DdETrEYxoPQIwzmi4efRm4nLiOJZ9jK7eXTmYfpBHVj9CXkke48LH\nsWD/Ao7nHqete1tLnIoQQogq0ovS8XLwknpncVaWHG1jE3C2d17/s+wzDZhmqZhEw1BWUcZHkR8x\nb988evv15r3r38PJ1qm+wzrD0uFLsbO2u+TRMqwMVrRs2tI8nN01ftcwOGgwff370ta9LQv2LyAu\nO4627m1JK0zjr5N/kZCbwMMdHqaJVZO6OBUhhBAmWcVZNG3StL7DEFcwiz8wKMSFKK0o5b4V97Ev\nbR+3t76dl6556YqdDtVSZRQGZWDG9TMAKCwrBCAmK4b4PfHMiZxj3s7T3pO7295tkRiEEOJqlVmU\nSYCzTGYlzk6SZ3HRisqKzjnFdW1prVl2bBnfH/6ecI9w9qXt4+VeL3Nn6zuv+ttm9tb2dPHqwid7\nPwGgr39fHu/8ONP+nsaMHTPwcvDixoAb6zlKIYRoPLKLs3HzrJcR0EQDIbMziIuSUZRB94Xdmb1r\n9iW1k1aYxsTVE5myaQq7Unbx9YGv6e7TXRLnKj7s/yEDAwfibOPMv3v+m3CPcF7t/SoAn0V9Vr/B\nXUYFpQVsTdxa32EIIRoxrTWZxZlStiHOSZJncVGi0qIAmLdvHkn5SRfdzid7P2F70nam9JzCC91f\nwMvBi9evfV0S5ypcbF2YecNMNo3eZH76u7Vba4a1HEZsdixaX9BQ6Q3Wr0d/Zfzv41lyaEl9hyKE\naKTyS/MpqyiT5LmBWbZsmfMff/zheLmOJ8mzuCgH0g+YX+9M3ml+nVWUxe2/3G4cJ7OKytrd0vJS\nXv7rZcb/Ph6tNXtT99LZqzOj247m3vB7+ePOP/B3kokla3L6g4lBLkHklOSQWZxZTxFdXkkFxi9p\nb217i+8Of8cz659hf/r+eo5KCNGYZBVnAdDUTpLnhmTt2rXOf/7552UbWUBqnsVFOZhxkOZOzcko\nymB3ym6a2TcjMiWSo9lHicmM4bUtrzEkaAhOtk7Mj57PfyP/y9LhS3nj7zfYfGozYOy9PpR5iLHh\nY83tXupKBZa3AAAgAElEQVTIFVeTYNdgAOKy43C3c6/naCwvvTCdpk2a4mzrzNQtUwHYm7qX1Xet\nrufIhBCNRWXy7NZEap6vBHPmzPGYPXu2t1KKsLCwwpEjR2a8/fbbvqWlpQY3N7eyxYsXHysoKDAs\nWLDA02Aw6CVLlnh88MEHx4cMGZJnybgkeRYXTGtNVHoUHT07klWcxeJDi1l8aLF5fQfPDkSlRTFm\n+Rie7vI0H+7+kOLyYm7+4WYMysAzXZ/hg10fMHv3bMoqymjn0a4ez6bhCnINAiA2O5Yu3l3qN5jL\nIL0oHV9HX6b1mcbT65/GrYkbkamR5Jbk4mzrXN/hCSEagcwi45081yau9RzJlWPNggMtMk7m1enw\nUu7+TgX9x4UlnGubHTt22M2YMcN3y5YtB319fcuSk5OtDAYDo0aNOmgwGJg5c2azqVOn+sybN+/E\nuHHjUp2cnMqnTp2aXJdxno0kz+KCxWTFkJSfxMQOE3G2dcbOyo4hwUP4OPJjjuceZ3rf6ZzKO8Xz\nG5/niXVP4GTjRHF5MQCv9HqF21vfzo7kHWw8sRGA7j7d6/N0GixfR18AUgpSzrNl45BemI67vTut\n3VqzbMQyVsevJnJ9JAm5CYR7hNd3eEKIRsBctiE1z/Vu1apVLsOGDcv09fUtA/D29i7ftm2b/W23\n3dY8NTXVpqSkxNCiRYvi+ojtqkies4uzKSorwtvRm4ScBH6P/50wjzB6+/Wu79AajApdwdy9c4nN\njiUxLxGA65pfh6eDJ4OCBgFwje81HMs6RnPn5jR3bs73w7/nne3vMCBgAKfyTrEvbR8jWhln1nu+\n+/NEpkQyseNE3Ozk9tjFsDZY42zjbP5j39ilF6WbJ5IBzA9PHs89LsmzEKJO5JbkAsjdrCrO10N8\nOT3++OMBTz75ZNI999yTvWzZMuepU6f61UccjT553nRyE8+uf5aCsgJaOLcgIfef98BH/T+ib/O+\n9RhdwzFv7zw+ivwIfyd/yirKuDn4ZjwdPKtt08y+Gc3sm1X7+Z3r3qmxvUCXQNaPXI+N1ZU5AUpD\n4drEleyS7PoOw+K01qQXpuNh52FeVpk8n8g9YV6WVpjGa5tf4+EOD9PBs8NZ2zuWdYzpp6bTrrBd\ntfesEOLqlldqLJWV5Ln+DR48OOfOO+9s9Z///CfJx8enPDk52So3N9cqICCgFODLL780fyA4OzuX\n5+TkWF2u2Br101lJ+Um88tcr+Dn58WSXJwlwDuCJzk+wfMRyPOw8WHJoCb8d+43DmYfrO9Qrmtaa\npTFLudb/WlbcvoLVd61m+nXTL7ldSZwvnWsTV7KLG3/ynFuaS2lFKR72/yTPDjYONLNvRnxOvHnZ\nxhMbWX9iPfcsv8fcg1STefvmcaL0BCtiV1g0biFEw5JXkoetwRZbK9v6DuWq161bt6Jnn302sW/f\nvm1DQ0PD//Wvf7X4z3/+c2r06NEtIyIiwjw8PMoqt73jjjuyfvvtt6Zt27YNX7lypcVH3WjQPc/F\n5cXsTtlNZ6/O1ZaXlpcyf/98Ptn7CRW6gln9ZtGuWTvGtx9v3mZw0GC+OfgN60+sp6NnR76++evL\nHf5l93Hkx/g4+nBrq1svaFSL2JxYEvMTGd9+vIy/fIVpjMmz1vqM99kfcX8AnDGqSKh7KHtS95Ba\nkMoTa58gKj3KvO6Xo79wT9g9NR6joLQAMD5sKYQQlXJLc3GyvWwjnonzmDRpUvqkSZPSqy679957\nz6hV7NChQ/Hhw4cv29ilDbrn+UjWEcatGHfG8lm7ZjFr1yx6+fbip1t/ol2zM0dzGBs+ljta38Et\nIbeYP3yvZCtjV7Ll1BYAynQZpRWltdovOT+Z7UnbeW7Dc3y05yNe3vwyY1eM5VDGoRq3//Xor/we\n9zsl5SVEp0fz9f6vufe3ewG41v/aujkZUWcaW/K8P30/HRZ0YF/qPvOyyJRIXtvyGh2adeD6FtdX\n276Xby9is2MZs3yMOXEOcA6gQ7MOfLrv0zMm8MkryeNY1jHztpGpkSTmJdb635MQonHLK8nDxdal\nvsMQV7gGnTxXKi3/54OvuLyYH4/8yOCgwczqN4vmzs1r3Ke5c3Ne7f0qD7d/GIA1x9dcllhrq0JX\nAMbJSHos7MFzG59jwh8TSC9M553Edxj+43DisuPO2cb2pO0MXjqYB1c9yMq4lQCMCx/HidwTjFsx\nrtoEE1prkvKTmLJpCs9ueJaeC3syatkopm+fTqBLINP7TpfJS65ArraNq+a58gvi+7veB4z/nv/v\nr//Dx9GHTwZ9csaH2jW+1wBQVFbEzBtmAsahEl/p/QoFpQU8sfYJcy/z/Oj5XPvttdz6862kFKTg\nYHAgJjOGoT8O5cPdH16uUxRCXMFyS3NxspGeZ3FuDbpso9LJvJPmMW+3Jm4lpyTHPKrD+bRs2pJg\n12BWH1/NqLajLBhl7a07vo7JGyZzf7v7ScxLNM/OB/DgqgdJLE2EUvhg1we8d/17WBnOrJFPK0zj\n+Y3PU67Lqy1/rNNjjAsfx4hfRrDwwEKm9ZkGwJfRXzJz50zzdve3u5+27m0Jcw+jhXMLKde4Qrk2\ncSWnOIfyivIa3wcNTeUXgV3JuygoLeDdHe8SlxPH3AFzcbQ5c+bVNm5tmNp7Kp29OhPkGsR3w76j\nhXMLHG0ceff6d5m0dhIv/vkinb06M3PnTG5scSNDgobg7ejNym0r+TbjW0oqSvj+0PdM7DARB5s6\nHcpUCNHA5JXkSdmGOK8GnTwHuxhnWDuee9ycPFcOo9bGrU2t2xkQMIDPoz4nqygLWytbPo/6nIfa\nP4S9tX2dx3y6qvWdsdmxWCtrVsatpEJX8MneTwBjffZdbe5i/O/jOZF7gse8HqPAq4Avor6gx8Ie\n/DnqT/OHfkFpAaN/G82x7GPYWdnxwY0fsOTQEvOsfg42DjjYOBDuEc6xrGMAHMs+xpzdc8wxzbh+\nBoODBlv83MWla9qkKRpNXmmeeVD/X47+Qlx2HEOCh/DNgW9ws3OjIx1r1d72pO3M3TOX2f1m10si\neTL3JADlupxnNjzDXyf/4qF2D9Hbv+ZhJZVSjGj9zxfltu5tza+va34dL3R/gbe2vcW6hHUMCBjA\nO9e/g43B+KDqDusd5m1zS3NZdmwZI0NHWuK0hBANRF5JHl4OXvUdhrjCNejk2dbKlnLKqw0/l1qY\nikEZLmi64v6B/Zm3bx7rT6zHSlkxd+9cWjVtxZDgIZYI2+yHmB/4357/cX/E/ayIXUFkaiQedh4U\nlxczKGgQt7e+nc/2fcYDEQ8Q5hHGuPBxXOt/LSWHSwgNDeWLqC8oqSjhYMZB8wxzx3OPcyzbmBRP\n6TmF/gH96R/Qn53JO1H803vc0rUlPx75kbKKMl7+62XsrO0oKSkBIMglyKLnLepOZcKcXZxtfv3q\n5lcprShl3r55ALjYutDR9/zJc3lFOQ+uehCALYlb6B/Q30JRn92pvFN08epCdHo0f538i6EhQ3my\ny5MX3d6YsDH4OPqQlJ/E3aF3V+ud97D+Z+QOfyd/Fh1cxF1t7pK7LEJcxXJLpGxDnF+Drnm2Nlhj\nb21PTGaMeVlaYRrudu4XdAs73D0cX0df1sSvITIlEoA9qXvqPN7TfbrvUxLzE3lr21tkFWcxpu0Y\n0ovSySvN47rm19HTtyefDPqEiGYRGJSB57o/Z57YxdfJl3Uj1wEQnR7NvtR9LD642PyA1BvXvlGt\nR66rd9dqUzi3bNqSwrJC3tvxHntS9/BijxfN6wJdAi1+7qJuVCbMGUUZ5mWVdcFPdnmS+8LvI6ck\nh5KKkvO2VbUG/s8Tf9ZxpOeWnJ/MhN8nEJUeRbBrMMNbDmdg4ECm9p56yclsv4B+jAkbc8bfBDfr\nfybneaTDIxzJOsK2pG01tvH1/q9ZE39lPRchhKh7MtqGqI0G3fMMMDBwID8f/Zn7I+4nyDWIlIIU\nPO09z79jFUopbmhxAz/G/Gh+wLAyibaUtMI0EnITGBoylLtD76ajp7Fn0MZgQzP7ZtwUfNN522hm\n3wxvB2/+t+d/5JTkAMZRRAB6+fU6574hriEAfH3ga25scSNDQ4ZSVlHG1qSt2FnbXcqpicuosjwp\nOj2aTl6dKCwrJL0oncc7Pc749uP5MeZHAHLKc6rtdyTzCH/E/0FheSH9WvSjk1cnDmYeBIylD1sT\nt1os5oTcBPak7qGTZyeaOzdne9J2Jm+YbB41xNvRm0c7Pmqx41eyUv8k0zeH3Mz7O99n0cFF9PTt\neca207cbxzXfd9++M9YJIRqHsooyCssKcbaRCVLEuTX45Pnprk+z5vga3t7+Nh/3/5i0wrQzZr6r\njTD3MBaVL+JI1hEcrB04kHGAyJRIOnl1skDUsC3R2MM1NnxstamFJ3effEHt9PTtydrja7k5+GaW\nxy5nV/IurJV1tZnYatLBswN3h95NYVkhL/R4wVw7WrW3Wlz5fBx98HX0ZXfKbu4Ju8dcM1w5+17l\nv4WjxUf5IuoLxoWPw8pgxZvb3mR70nYAvj34La/2epVDGYdwtHGkt19vFkQvqNOHEEvKS5i7dy6/\nx/1OXE4cYPyiuOiWRUz4YwLNnZrz+eDPScxPPOfMgHVtYOBA7K3taWLVhEFBg/jl6C+UlpdWm8An\nsyjT/LqmMaiFEI1Dfmk+gPQ8i/Nq0GUbYOx9/VfHf/HXyb9Yn7D+onqeAVq7tTa/fqWXaVbCdU9W\nm/q3Lu1L24edld0FPdhYk1d7vcr6u9fzVJenAGMPpJeD13mTHlsrW1665iWm9ZkmY1o2cJ29OrM7\neTdaa07kGd+vlXdQKv8tfJ3+NTN3zmRf2j72pO5he9J2/tXxX/w24jfauLXhhT9f4MeYH2nj1sY4\nBbsuI60wrc5i3JWyi0/2foKVsuLFHi8yseNESitK+SL6C8oqyvio/0e0bNqSPv59Luv7ceYNM80j\nzvTy60VhWeEZJVuVyT5AckHyOdtbHb9aZiwVooF6b8d7APg5+dVzJKLSnDlzPNq0aRMeGhoaPnDg\nwJZ+fn7ty8uNo4jl5OQYfHx8OhQXF6t27dqFLVu2zBngscce8580aZJFx9Zt8D3PAKPDRvPjkR95\nd8e7ZBRl0My+2QW3UVnGoFBc1/w6wjzCuGf5PUxcPZH/u+b/aryVeymi0qII8wjD2nBpv4LKHjJP\nB0+slTVlugxvR++6CFE0EF28urA8djkn806av+xVjsl9+l2YhNwEVsevxsXWhfsi7sPBxoEvh3zJ\nl9Ff8t/I/9LJqxM+jj4AJOYnklaYxpGsI9za6tZLirFyFJw5/efQ3Lk5UWlR/G/P//jt2G/G4RBd\nWlxS+3Whu093DMrAlsQtdPPpZl5edTz1w5mHzddnW+I2FuxfwKTOkwh1DyW7OJun1z8NSHmHEA1N\nUn4SPx75kbtD7+bGFjfWdzhXlFUff9AiLSG+TodfatYisGDwo08lnGubHTt22M2YMcN3y5YtB319\nfcuSk5OtxowZE7R8+XLnYcOG5S5evNj1+uuvz27SpIn+8ssvY0eOHNmyrKzs+Nq1a1137959oC7j\nPV2D73kG4+3f0W1Hk5CbgEabb1lfCAcbB/yd/Gnl1gonWyeCXYP54IYPiM+J5+HfH6526/ZSlVaU\ncjDjYI0zH14sa4O1OVHydfSts3bFla+zt3F6+t0pu0kuSMbWYGsebaZpk6bVtv3zxJ+sTVjL6Laj\nzUPRWRusGd9+PGvuWsNjnR4zv392Ju9k4uqJvLrl1VrPwKe1JiHnzL+HifmJKBTeDsYvdpUJKPwz\n0Ul9c7F1oV2zdnyy9xMeX/O4+Zxjc/6ZwrtqIr3k8BI2nNjAnb/eyYifR/DK5lfM66LToi9b3EKI\nS7cqbhUA94Xfh0E1itSowVu1apXLsGHDMn19fcsAvL29y++6667MRYsWuQEsWbLEfdSoUZkA3bp1\nKxo5cmT63Xff3frTTz+NtbOz05aMrVH0PAP09e9rfn1jwMV9a3ym6zPVHpbr4duDGdfPYPKGycTn\nxONm53aOvc9Na83iQ4vp6NmRvNI8isqL6OrV9aLbq0livrF3b1DgoDptV1zZWjVthbONM7tSdpFf\nmo+ng6e5Lrfqh4CPow8r4lZgZ2XHmLAxZ7RTmXBXJs+zd882z3QZlx1XrbTpbL6P+Z6pW6Yyd8Dc\namMzn8o7haeDp/lOSdWhJFu5tbrQU7aYXr692Ju6lw0nNnAy1zj50oncEwS6BHIq7xRpRf+UsuxP\n308Xry4MChrE73G/s/b4Wtzt3MkvzeenIz8R0SyiHs9ECHEhVsSuIMIj4oq4C3alOV8P8eU0evTo\nrNdff90/OTnZKioqymHYsGHmp+Gjo6PtnZ2dy5OSkmyAwnM0c8kazdcrXydfWru1ZnDQ4IuumRwU\nNIjrml9XbVnrpsaEoepY0hfjYMZBpm2dxqjfRjHt72lYKSt6+Pa4pDZPd2ebOwG4ocUNddquuLIZ\nlIFOXp3YnbyblIIUc+9upe+Hfc/r/q+b78iMaD3inOOgO9k64WzjjNaap7sayxCqDgd5NntS9zBr\n1ywAZu2eZV4+P3o+Px/9udodkapJfUvXlrU4y8ujanlWUoFx2Mfk/GR8HH1wt3MnvTAdgPTCdBJy\nE7ihxQ3cE3YP82+az5q71rB0+FJubHEjK+NWUlRWVC/nIBqvk1mF7IzPICO/hLziMv4+lk5OUe3u\nCtWlfSeymbfxGCm5Raw9mMwLGwsYPmcTj3+ziw/XxFBQUobWFu34u2AVuoIjmUcoryhn6eGljPlt\nDO/vfN98tyw6PZohQZad20FcmMGDB+f8+uuvbklJSVYAycnJVq6urhUdOnTIf+SRRwL69++fbW1t\n7AOeP39+08zMTOu1a9cefPbZZwPS0tIsOuVuo+l5Blg6bGmdt+nv7I9C1fjg4C9Hf+GnIz8xb+C8\n8z6gtyPZOJvZTcE38dux3+jm3Q1n27odDufla15mSo8pjWKaZnFhOnt15s+Tf+Ja5Eov3+rDFIa6\nh5JonUigYyC7kndxX8R9521vZOhI/Jz8GNFqBB/u+pCYrBiyi7OJz4mvcTSMlIIU7l1+LwAO1g7s\nT9/P1sStrIpbxXeHvzMvr0mwa/CFnq7FdPfpzpt93mTKpinmOu2k/CR6+fUitySX9CJj8rwrZReA\neYhJ+Ke+fGToSFbGreS1La/xZp83ZXQOUSc2Hk5lwlc7KCqtqLa8f1svpt/ZgWZOTS64zdyiUl5Y\nupd7rwnEz9WeU1mFZBWWsio6iS4Bbvi42tEjyJ2P1h/B1d4GxybW7D2RzU+RJ9EaPt10jLyiMpxt\nwNXehn0ns1m2N5H3/jjMrZ38mDWq8zmPv/loGp9viuNfN7akS8DF39mtjTe3vsniQ4vxcvAipSAF\nOys79qXto5dfL/alGp9RsPTMupEJWRZtv7Hp1q1b0bPPPpvYt2/ftgaDQbdr165g6dKlcSNHjsx8\n8MEHQ5YtW3YIIDEx0fqVV15pvnr16kOtWrUqHT9+fMqECRNa/PDDD3GWiq1RJc+W+JBqYtUEb0fv\nGnue3/j7DQrLCll9fDV9/Ptgb21/1lqpnck7ae7UnLf7vs34duMtMhSOUqraEFvi6tHZy/ghlV2c\nfdapZSe0n8CgwEHmhwnP5amuT5lfh3mEMT96PhtObCA2K5b1d683T85SqXIq+bHhY7mz9Z2M+GUE\n438fj5WyoqdPT7YmbcXWyrbaPoEugcTnxNfLNODnMjhoMFM2TSEpP4nSilJSC1PxdfIloyjDPALJ\nXyf/wtHGkfae7c/Yv7tPdx7v9DhzIufQsmlLxrcff7lPQTRCM/84jI+LHf+5JZz49Hzyi8tJyili\n0bbjdHtjNX1bN2NcryAGhHnV+rNwzYEUlu9LYvm+pDPW/Rx5qsZ9bK0MTLguhOtae3L/F9twtbfl\n+W4Gbh9ivGvz/c4TTP5uD2sOpJzz2OUVmknf7CY9vwQ3BxuLJs9RaVEsPrQYAHtre9657h36BfRj\n4HcDeW/HexSWFdLJsxO+TpZ9XuiP/WdeZ3FukyZNSp80aVJ61WUPPPBA5gMPPLCz8mdfX9+yuLi4\nqMqfX3rppXO/+epAo0qeLSXAOYD43Pgalx/KPMTkDcaxmf2d/PltxG/Ven4PZx5m9q7ZbDq5ieEt\nhwNXVo2naByqPnx6tuTZ18n3oj4cZt4wk7uX3W0u3fg78e9qPTQJuQksPbyUu0Pv5vnuzwMYZ8ss\nTOdfnf5FkGsQa+LXnPGA7KJbFlFcXnzB8ViarZUtzeybkVSQREpBChqNj4MPSfZJHMo4RFlFGX+d\n+ouePj2xMdT8ZXVChwkczTrK7F2zCXENoV9Av8t8FqKxKC2v4OWfo4lMyOKlW8IYGP5PWVZRaTnN\n3ezJKy7jp90neXjBDmaN6sStnWo3Steag8YcY/KgNni52PH5plgOJuUyIMyLsb2CaGJtYOPhVII8\nHOkc0JQm1lbY21rh6Wzs5f52wjU0c2pC7L7t5jbv7NqcE5kFzFoTQ1FpOb/uOUVhaTnjegVVO/a2\n2AzS840zn24+mm4eQ11rTWm5xta6bqpKSytK+WzfZ9hb27P2rrXVOq7+c81/eP3v18kuzmZ0j9F1\ncrxz2Rabcf6NRIMgyXMtdPTsyGdRn5FakFpt6K/kgmTaN2vPsJbD2Je6j1+P/UpCbgJBrkHmbRYd\nXMSGExsA6B/Q/3KHLq4SdtZ29PbrzeZTm+u8HMjH0YeOnh1Zl2CcDn7TyU3VkuePIz/GymDFhA4T\nzMte6PFCtTb6B5753ne2dcaZK3MmLx8HH+Ky4ziQbhztyMfRB49cDzKKMnhr61sk5SfxQvcXzrq/\nUoqp107leO5xXvzzRZbfvvyihtAU4uu/41m07Tjhvi7c0aV5tXV2NlY8dqOxM+bZgW24/t31PPf9\nXg4k5pKcU0SuqR5aa7CxMnAqu5CjKXlUaLC2UuQWlTGqewse72d8tqdHkDvvrz7MG7e1w9nO+MXw\nmpCzT7jVNdD47ETsacuDmzmiNSzadpzXl+2nibUVI7u1wM7GyhSPZsGWOJpYG3hmYBveWnGQ1QdS\nGBjuzYdrjzB7TQyRrwzCqcmFpygFpQVsPLGRhNwEdqbsJDIlkvzSfCZ2nHjGHd/BQYO51u9aNp7Y\nyIDAARd8rAvx2aZYtsfV3ahdon41mgcGLWlYy2FU6Ap+OfqLeVluSS5ZxVkMCBzA6LajuSfsHgBi\nsqo/WFU5WgGcf8psIS7Fm33e5Obgm8946LUutGz6z0N9f538y/ww0P70/Sw7towxbcectce7IQpw\nCWBXyi7zuM2+Tr542HtQpstYcngJD7R74LwftnbWdrx0zUsUlhWyI2nH5QhbNCLbYjO47/NtvPbr\nfnq39OC3J/rg5mh71u2trQwMivCmpKyC/204yur9ySRmF5GYXURSThEro5PYeyKbwe18uPeaAAaE\neXN/7yD+fXOYuY2gZo7MGtXZnDhfrCAPRwCmLtuPi70NhaXlvPHbfsbM+5vsglLeXXWIFVFJPNG/\nNSO7taCtjzMPL9jBU9/uZuYfhymr0Lz+636iT2Vf8LG/2v8Vz218jtm7Z5Ocn8zQkKF81P8jHuv0\nWI3bO9k6cXPIzWeUldWlotJyXl+232Lti8tPep5rIdg1mJ4+Pflq/1fm8XFP5hmnQW7uZOwJCGka\ngkIRkxnDwMCB5n0TchPwcvDigxs+sOg/TiE87D2Yft10i7T9cPuHcbRxxMXWhdf/fp3DmYcJdQ/l\n9S2v42HvwUPtH7LIcevLv3v8m0GBg8gozsBaWRPsEsyhjEMADAgYYJ7R83xC3UOxNdgSlRbFkGB5\nkl/UztHUPEZ9sgV3xyY8NziUcb0Ca1XH/Oj1LXG2s2FYB1+8XOxwtf8nCT6ZVcj+UznVyj4spTJ5\ndrK1ZskjvRj9yd98/fdxAIb/dxPx6QWM7tGCide3xMqg+Omxa3nt12gWbUvAxkpRWq5ZvCOB73Ym\nMK5XEM8OalPrhH5l3EqCXYNZMGQBTe2ann+Hsygpq8DaoDAYLv1ZquMZBQC8c0cH7rbMn2hxmUny\nXEuPdX6McSvGcc/ye3jpmpc4nmP8QxDgEgAYH0IIdAk8Y0ivhNwEevj0qPHBIiEaCgcbB8a3H09q\nQSqv//06m05uwsHagaj0KF7o/sIZDxA2dE3tmp5RatLHvw/Pdn2WkaEjaz2Jgo3BhrYebdmXJjMO\nipql5RWz8XAqBSXlFJWW42pvQ2peMRUafnn8Wvya2te6LS8XO54Z2KbGdf5N7fG/gLYuhauDDQ/3\nDea6Np608Xbm6/E9+Wj9UTYeTiU+vYAXb2rLI9eFmL8Q2NlY8dbtHbi9S3MC3R2Y+cdh9p3Mpmug\nG/O3xBF9KpvvJvY+90GBhJwEjmQd4cUeL15S4pxdUMrtH/+Fh1MTFjzYAytTAm1jdea/++Kycr7a\nEk+vlh5E+NX8d/BYah4AYb4XN4yuuPJI8lxLnb06M6ffHKZtncb9K+/HxdaFIJcg2rj984eqtVtr\ndiTt4Im1TzCl5xTc7dxJzk++qBkPhbgSeTp4EuoWyqaTm7C3Nn4QW6JM5ErkbOvM/e3uv+D92nm0\n48cjP1KhK2TmMlHNqaxCbpn9J5kFZ47V3NrL6YIS5yvJzB0zcfQx0Lf1UxSWFdLCw8CHoztzMquQ\n5Jyis46s0T3IWEP99h0dqKjQGAwKFzsbPlp/hMKScuxt/6mZzinJOeNL+/4MY2lEF68ulxT/7LUx\nxKcXcCwtn6e+jSQjv4S0vGJCPB3JLCjlteERtPN3pai0nAlf7WTj4VQAbmnvS1MHG/q0asam+FJa\nZRbQ3M2BY2n5AAQ1u7JGFhIXT5LnC3B9i+vp7tOduXvnsiB6Ac92e7bah2Hrpq35I/4P1iWsw8/J\nj2v9rkWjCXIJqr+ghahjffz7MD96PqUVpQQ4B5jvvoiahbiGUFhWSEpBSrVpycXV5e9j6cSk5DH2\nmgnQa/QAACAASURBVEDzsk1H0sgsKGXBgz1o6+NMExsr/oxJ5eP1R7m7e8PsdCkoLeCL6C8AmNhx\nIvetuA87azsW3LTggnq/K8slOjR3pULDgaQcugS4kZSfxLS/p7Hx5EYW3bKI1m6t+eHwDwwMGkhM\nZgwGZSCkacglncO+k9l0bNGUm9v7VqtVPpaWj3MTa27/aDMTrw/h9/3JHErO5dVh4aTnl/D5pljy\nS8pZuNV4Z3rRwXUMCPMm+lQOXs5NLrmWXFw5JHm+QA42Djzd9Wke7fhotam8gWrTF2cXZ/Pm1jcJ\ncgmqcaQBIRqqvs378lnUZ+xJ3cOD7R6s73CueJWj78TlxEnyfBUb9cnfANzbM8BcrnAwMRd7Gyuu\nbdXMXBowtIMfQzv41VuctVVaUcrhjMPm6ay11hSWFbIidoV5m+c2PseBjAPYWdld9J2XCH9j7/Lt\nH23m6WEVfBP3hrEtDKyMXUlSfhJvbH2DT6M+xa2JGwHOATSxuvAJY6o6kpLH4AhvHuoTTHZBCRsO\np9K+uStDInwJ93Ph2SWRzF57BP+m9swb240Bpjry/2fvvAOrKLM+/MztaTe99wohFUKvARSQroji\nIupaWV1c21o/2+7aC5a1oNgQEOxiQZpAaFKTkAKppPd+k3tz63x/DLkQE6RIdfP8A5n7zsw7/bzn\nPed37kyN4pfDdTz+XTZXRYDaK5jP9pTT1GFiVvLFf037OHX6jOcz5LeGM3Q3nn8o/gGADyd/+Icf\n5D76uJgY5DMIJ6UTHeaOc16R689AqFbyNJa0ljDcf/gF7k0fFwKb7Vip6qYOE55HqwEermkjxs/F\nbjhfSryw5wV74REXmQv6T/VYRWu3NlvKtxCmDaOkrYTajtoz0pkPcD32rV2S+QlOTg5M9foXBzs/\nkDzcOSAXpHCOQ02HuiXsA+wvbaK0Uc9Vv5H5OxF7S6Ty51E+kozmfZP6cd+kft3afHDjEPaUNJEc\n7GaX3wNwUMmZlujPFfF+pKVtJTW1P4smRFOvMxLkfmmG4Fxo/vvf/3q+8cYbvoIgEBsba5g5c2bL\nc889FyCTyUQXFxfrvn378iwWC3feeWfQ5s2bXQVBEG+88caGxx57rO67775zefjhh4OtVitJSUn6\nZcuWlTo4OJyVuvF9xvNZpEt5o4uroq9iiN+QC9SbPvo4NwiCwOfTP2dz+WZiPWJPvsL/OL6Ovjgo\nHCht61loqY9LF4vVxprMKsb38/ldCbnSxg6W/3rs2pc3G/B0ViOKIodrdEw6D+oX54L9tfYCbzjI\nHJgXOw8XlQseGg/GBo3l8i8vJ8ErgYVJC7l1/a3srtlNU2cTN8XdZPdAi6LIt4XfMipw1AmlLgVB\nYPXtw5HJRG7f+jSWjmSW57WDJgXH0APS/uVuzAt4lW2NHzM+YJp93bVZ1fxjVQZymcCVAwNPqliy\nv7SJue/uAqSY8xMhkwm/q399vEKHRikn2OPSjnVu+jI/2FzTcVYPQunnpPe4OqZn6ebj2Ldvn+bl\nl1/237Vr12F/f39LbW2tfMyYMf3Wr1+fHx4ebm5oaJADvPLKK95lZWWq3NzcHKVSSW1trVyv1wt3\n3HFH+Pr16/MSExONV155ZdhLL73k/cQTT5yV6oN9xvNZRC6Ts/svuzlQd4B3M9/lvpT7LnSX+ujj\nnBCiDeHGuBsvdDcuCQRBIFQbSklbyYXuSh9nCYvVxq3L9rElr57ZyQG8Nm9gr+2yK1u5Zsku9KZj\nHtmyJj3JwW4cqtbR1GEiKfjMVSEuFHqznuLWYu5IvIMhfkNoPtTMlEHdpRhXTF1BkEsQBosBgMd3\nPA5AgleC3an0Q/EPPLHzCWZFzuI/o/9zwv0Ni/DkcNNhLBh4dvIMrgibwqTX0ig5sgin8Ddp04v8\ne00ZMIEtOww8plmHUi6jscOEo0qO3mSlscOEl/OJZ4FFUWTxBkkty9NJRULgn0tB6FJk3bp12hkz\nZjT7+/tbAHx9fa2DBw9unz9/fticOXOa58+f3wzwyy+/aBcuXFivVEox5b6+vtZdu3Y5BAUFGRMT\nE40AN910U+Nbb73lA/QZzxcjjkpHRgeOZnTg6AvdlT766OMiIdA5kCOtv63D1sfFyNJtxSjlMm4c\nGdbr71abyOPf5bAlrx6NUsaazCruvTyG0KPaxgDPrz1MtI8zL63Lw81ByarbhyMgMOO/2yk/qvn7\nU1Y1MoFL0vOc25iLTbQR5xnHMP9hbMnb0qNNPw8p1MFR4YiHxoOmTqk09U9HfkIuyMlqyOLN9DcB\nSdL197CJNl7a+xJKmZKhfkNRyGU8OLk/b26WoVDO4LZhsxg0N5HGdhNpBfXUHS0KM7G/D7MHBrLo\ns3TKm/S/azxvOlTH9sIGHp8+gFtGh5/hmflzcjIP8flk5cqVZb/88ovTmjVrXFNSUgbs37//glSf\n6TOe++ijjz7OMQHOAeys2okoiqdU7KKP7mTX57CndjdD/YYS6ByIu8Ydo9XIspxlXNPvmt/VGa/X\nGXlqTQ7OagUjozyZlRx4wrblTXr+86NUkr20Uc+YaC+Sg91wUMmp6bBhMFlZ9Fk6Gw/V8rfUSG4a\nGcbI539hxe4yHj1aqa+0sYN3txYB4KSS88XCkQwIkPR9PZ1U5Fa3AbAup4bhEZ72+OeLieyGbDaV\nbaLN2IZVtOLr6MvcfnOp1dfyU/FPfJH/BRq55pTqFwiCwAODH+DR7Y8C8GX+l3yZ/yUAQ/2G4qnx\nZEvFFiw2CwpZ7yZJcUsxe2r28M/B/8TXSRpsTIn3Y0q8H3BMKjPAzYGEIOleeHJGHIIAebU6ACqa\nDQw8gURep9nKv37IJdrHmRtGhPbapo/zz+TJk9uuvvrqqMcee6zGz8/PWltbK29oaFBMmDChY8KE\nCR0bN250LS4uVk2cOLFtyZIlXtOnT2/rCttISkrqrKysVGVnZ6vj4+ONy5Yt8xwzZozubPWtz3ju\no48++jjHBDgFYLAYaDY246HxuNDduSQoaehg1d5yvkmvoMP7OQSVNNvq7+TP2xPf5tvCb/kk9xME\nQeDWhFvJb85n9eHVPDT0IVRyFdWtBryd1Xy2p4wfs6oBWL2vnPhAV178+TAqhZw3r+sebrF8txSb\n7KJR8OGOI3y4Q5otcFYraDda+L8d67CKIk/PjLN7picN8GX5r6UkH5U2++GgtC8HpZw3/zLQbjgD\nTE/055NdpXg751BQ187VKaeWxHY+aDW28vSupylsKeRI6xEUMgValRaZIKPR0MjbmW8DUnLelPAp\n3BJ/C14OXqe07RmRM0j2SQYR9tXuw9fRlyCXIEK0IfxY/CNrS9aS1ZDFQJ/ew1+OtEnXYbDf4FM+\nnq6442B3KVS3vFnfa7vSxg4+3VVKWZOeFbcO67UQSh8XhsGDB3fef//91WPGjOkvk8nE+Ph4vU6n\nk5eUlKhFURRGjx7dNnz4cMOQIUMM+fn56v79+8cpFArxxhtvrH/00Ufr33333ZK5c+dGdiUMPvDA\nA/Vnq299xnMfffTRxzkmwFmSqapur8ZD40FhcyEtxhYG+Q7qK5xyHLpOM098l8O+0ibKmwzIZQKp\nMd7styjoihqu03Vw9Zq/gCAVFsltzKWsrYxbfr6NFlMTI/0moGsJ457VGagUMmQCJAW7MSXOjxd+\nPszlr26lS/zi7glRRPu62Pe/vaCBYeEerL5jBB1GCwcrWkkvbyavRsfOvGo0DhqemhHHxNhjoRZP\nzBjAwuUHuHPFAVJC3dlf2swAfy0//WNMj+N7YkYcuk4LH+8sAWB09KkZn+cai83CP7f+k721exkf\nPJ5p4dO4fsD1OCmlUJTtldt5MO1BFgxYwOzI2WekmtFVLKxL2q6LcUHjcFW7siRzCe9e/m6v65a0\nlgCcUc0EJ7UCmQAv/pyHr4uGKwcG2g3rimY9kxanYbTYuCLej1FRF8f16OMYixYtaly0aFHj77WR\nyWQsXbq0Aqg4fvmsWbN0s2bNOidhHX3Gcx999NHHOabLeK7qqCK/OZ8ndj4BwJLLljAy8ORlh/8M\n2GwiH+0sITnYlZRQD/uyDpPFXjzi4a+z+PGo53Zaoj+PTxuAn6uGCZ9bqDdAtHIuqs4h5JgWYxOt\nuKv82FC6ga2lezFajQhy+NsX32FqGkesv5bRUZ4U1LVz+9gIhoV7sja7Gh8XNX+fEM3st3Zw+eI0\n3r9hMJcP8KVFbyK3uo17JkpVY53UCkZEejIiUlJV2Ly5hdTU1B5hN/6uDnxxxwheWZ/H+9uKuXFE\nKHeMi+z1HMhlAi/NTUKtlJNb1Uqs35mXa7barMhl8pM3PAGdlk5aja0szVpKXnMe6XXpPD3yaa6K\nvqpH29GBo9k+b/s5Geg5q5y5Of5mFu9fzL6afWwq28SBugMsv2I5Srl0X5S0leDj6IOj8swEH64b\nGsKK3WXc/0Um//dtNimh7oyK8iKrsgWjxca0RH+emD7gbB5WrxgNlnO+jz7OD33Gcx999NHHOabL\neH7/4PscajpEhGsExa3FVHZUXuCenXssVhvp5S08tSaHnCop3ndWcgC3jYng4a8Pkl/bzo0jQnFU\nKfgpq5o7UyO5YUQYvlo1giCgN+upN9Rx98C7uS3xNgC+SY/j3tXpdDrn4xh8EJNNzwyff7G74w2q\nHMqRCfDK3KRuIRMAa/5+LJH7uasSeOTrLJbtKsHbRc2/vs9BFE/sDRYE4YTx6iqFjEemxnLv5THd\ndH97Qy4TeO6qk8cK/xabaKPT0olcJufx7Y+TXp/OmtlrcFCcnn6wKIpk1Gdw35b7aDA02JcvGLCg\nV8O5i3M5Q3Jd/+v4NPdT7ttyH83GZgAq2yvtBYaOtB4hXHvmSXzPXJnAw1f0Z/Xecsqa9Ow50sQL\nPx8G4NbR4fzfeTCcAQ78XHJe9tPHuafPeL7EEEWRdSVmGvZXXFTxcmcTi8mKXCnrS6zq40+DVqVl\nTvQcvir4ikmhk/j3qH8zbOUwGvQNJ1/5EsVqE3kvrZjFG/IxWW2AZDQHuzvy3rZivsuoAiDM05H3\nt0kxrVqNgptGhuGjPVYYo0wnlTo+vgz8+H5+gAJr+wDmB77DzMQABvhE8ODWrezlAJ9eP54g99/3\nUl43NITq1k7e2FTAtoIGvJzVvHh1IimhvSeVnQonM5z/CEsOLuHtjLcZ6DOQ9Lp0ANYUruGqmKtQ\nyk6t7PPOyp28sPcFiluLuy1/csSTzI6afdb7fKo4KBy4PfF2nt39rH3Z2iNrifWMRSbIyGnM4Zb4\nW/7QPlw0Sm4dc6xs900f7WFLXv0JVVX+CKIogq37suqiVjI3VfS+Qh+XHH3G80WOKIo06818tb8C\nDycVe0uaWHXYxLryQ1w5MPCSqUx1qioDFrOVFU/+imegMyOuikTtoCR3eyW1JToGTQ4hMObMP2wX\ngs52MzKFgErT96j9r/P48MeZGTmTJO8k5DI57mr3bp6/S5UHvshkV1EjwyI86O/nQnygK8Hujtz/\neSZ7Sprs7f46KownZ8QBkhF996oM/jIshAXDQxFFEbNVRCaA4jcJW10Sf8fHu7o5qnhn/iBi/FyI\n9D5WzCLOK461JWvRaPTAyaf4/zYuEoVMQC4TuHFkGM7qi/c5XV+yHpCUMJ4d/SxP7HyC/+z+D5Xt\nldw3WKop0NzZzJbyLST7JBPu2tNT+9qB19Bb9Dw98mkmh03mtf2vMdR/aI+qfBeCq6OvZkv5FlKD\nU3l297P2BEWQ5O6uH3D9Wd3fu9enUNakP2sFTHRNnaStyscn1IX+zgoi18totZbierl0f6999yBO\nbicuptPHpcXF+6b4H6eqxcA36ZV8ub+CIw0d3X7r5y4jr9lERnmzPXbwYsVmE9nwQQ5VBS1MX5RE\nU1UHrXV6tF4O9B/hT2NlO2U5TSSOD0KulFGcUU97s5H2ZiOl2cdyBOQKGZX5zfzlyWFovS7+MqdF\n6XXkpFVScbiZkDhPpv896UJ3qY8LjFwmZ5DvIPvfng6e1OhrMNvMp+Q5FEWRzPpM4r3iTyjpdb4p\nb9Lz1YEKYnxc2JJXz9cHjoWhOKsVvDI3iU2Ha/kpq4YRx1Vki/Z1Ye1xCXWCIKBSSINrURT5tfpX\nBvoMRKPQUNBcgFyQ9zAGr0jombSW4CWFQ+Q05DAueBwAZW1lXP391Xw05SPiPOO6tXdQybl7YnS3\nZZ/mfopSpmRe/3ndltvE37gSLwCeGk/euewdYj1jsYpWHt/xOB/lfES7uR2DxUBmfSblunIUMgXP\njHqGqRFT7evaRBslbSXMiZ5jD894bPhjF+pQeqCUK1ly+RJEUbR7oB8a8hD+Tv74OfuddZUajVJO\nzHHJon+Egn21bF2Zh1FvoSSrAf8YVwQEdL+UoennjkWrRmw3MzL07OyvjwvPxfEG7sOOwWTlx6xq\nHvwyE5sIQ8M9mJkUgMlqY39pM1Pj/fDWl3DPFgNLthZz13jZRV2hqiq/mcL9ksTU58/s7fabIBM4\nvKuaisPNFKXXMeX2eHK3V6P10jD5tnha6wzo20z4Rbri5Kpi5VO7+emdLK5YGI+Lh4Z17+fg5K5m\n1FVRyJUXj2JBY2U7Py/JRuulwdlDQ1tj54XuUh8XId4O3qRVpDHpy0lsvmbzSdvnNOawYO0CLg+9\nnBfGvnDKU/Xnktc3FSAAH/11CH5aDfXtRt7eXIjJKnJnaiTBHo6MjfEm0tuZ1H4+v6vl28X60vU8\nsPUB/pb0N+5MvpOC5gLCtGGo5Cf32vX36I9MkJHVkGU3nrdWbMVgMfBe5nu8PuH1bu1rO2rxcfTp\nNiv24t4XASmhzmAxoJApKG4tZkvFFt5veJ94r/jTPEt/HFEUqWyv5OqYq4n1lPSkZ0fNxkPjwV2b\n7uKL/C8IdA7ETe3Gc2Oe49PcT3kj/Q2uCL/Cfmy1HbUYLIZePdIXE8dfi6uirzrjJMFzSVuDga2f\n5eOoVeLkqmb/z6X4hmtJnd+PH9/IwFarRxdsw6NVQ8s3hZgnhjLeRYGq4qzJDPdxgekzni8SqloM\nfH2ggv9uLqTTbGNgiBuvXZvcrWpVF1u2lLJgeBgf7jjC+txa9v3fZSctO2qxiViP6jOdSVzeniNN\nfLTjCP38XFg4LhKNUo7ZajupJmZtSVu3v8dcG03syAC+ffUAGz+SFGTCEjypLGhh9X/20tlhZtjM\nCHxCtfiEdk/2mXJ7POs/yOHzZ/YSOyqA4gxJstEryJkBowJO+5jOFRkby1Co5cx9ZAi7vi6kJOt3\nVXb6+B/Fw0HypJ1q6EZRi1R4Y0PpBkjjghrQVpvIi+sO8+X+Cu4aH0mAmzQb5KvV8PSs7salt4ua\n+yf1Q2/WM/nzycyMnMkDgx84YRjXu5mSXFlXXG9BS4Hdo3wyHJWOJHgl8GnupwzxG8Iw/2HUG6T3\nRF5zXrfwsXp9PVO+nsKLY1+0hy3oTMeMm1f2v9Jj+0/sfIKvZ359Sn05mzQYGjBYDHa5ty7GBI7h\ng0kfEO8V383IFEWRR7c/ygfZHzA7ajZeDl4UtUr3z/HGs66pk29fPcCEBbEE9rt4QuLuTLqTUl3p\nBTWcTxRqaOq08NM7B2msPDYjHDvSn3Hz+yGXyxgy2BfZgVqaHUTCx0bQtOIw5nVHUMkElMne5/MQ\nLnny8vJU06dPjy4oKMi50H35LX9q43l3cSMvr89jeIQncQGuTBrgiyBAeZMBH636nCZ3nApdoRk7\nixrYWdSIKMKgEDcivJ25e0I0IZ4nfnHcNymGQ9Vt7Cpu5GBFC8X1HXy0o4Sf7xljl33qNFu5d3UG\noghb8uvQKOXoOi1EeDlhtYncMS6Ca4dISTiVLQa+3FfBHeMiup2XwzVtPPxVFhnlLShkAmuza/j6\nQCWjo734an8F1w4J5umZcSf8ENYeacPN15GWWkmgPnqIL0q1nKSJwWz4UDKexy+Ixag3s3ZJNiaj\nhf4jetcQDYnz5JpHh7Du/WwyN5WjdlSgUMnJSauksbKdpqoODNgo9WokNN6z122ca2xWG8UZDUSl\n+KBxUqJ2VGLU98kT9dGT441mvVl/UkOhTFeGTJDxj0H/YPH+xcRkxbAwaeG57qadtk4zc97eSatB\n0leu0xn5y7AQ7r0s5pTWz2rIosXYwrLcZTgrnflb8t96tOkKLQA4UHuA2d/OtntcT5VXxr3Cwo0L\nWfTLIp4a8RTFLVJyXGV7JbuqdzEyQJIGLGkrwWKzUNBcYDeeC1sK7du5MupKnhr5FBab9Pw+9v1j\nrG9ZT6elE41Cw/mkK2nyt8azIAgM9R/ao/3EkIkkeCXw+oHXeePAG0wMmcjGso04GV3RVHpR0dKE\ng1ZFzrYq2ho62f5lATMWJaNUy1GqL+x3Eej13jifWK02vlucjqu3AxNvPKbEIdpENn1yiKaqDmbc\nnYTNKqJr7CR+XKD9G+jZZqTdJlKrF3GI90Id4w75koKI15XRve6vj0uPP63x/OPBau5dnYHJamNv\niXTjhnk60mow06w3MzzCg+W3DOuRnHI66E0WmjpM3bK6zVYby38tZd6QEBxUckwWG9lVrby8Lg9B\ngOeuTCTE05F6nZHHvslic149IR6O3D0hmqsGBfbqae4NZ7WCD24aTPyT63h+7WHya9sBOFyjY0iY\n5NF6L62Ytdk13dZZOC6CvBodGw/VsTa7hmuHhGAwWbn1k30cqm7DbLXxwOR+ABTU6pj//m5sosjC\ncZEsmhBFRnkLj3+bzWd7ypALAst2ScfaJQlls4lU5TejdlRSfqiJ8sPNRCZ7k5AaRGNVOw7O0tRr\nxEBvolJ8iB3pj6NWhaNWxTWPDKaj1YSz+4m96FovB656IIV9a0tw8dTQVm9g/8+lNFZ1oHFS0tEC\nPxzO5JaXx6BxlgYRVquN4vR6fMO0J42XFm0iwhkkYbY1GFi3NAfvYGdMBguhcZLxrnZSYLXYsJis\nKFQX/qPUx8VDkncSu6t3A1Cnr7PLcp2IsrYyApwCuDn+Zr7K/8puFJ5Lypv05FS1MSLSk02Haimo\na2daoj8KmcCoKC/mpgRR0lZCp6XTHk5wIjLrMwGYHDaZtzPfxtPBk2v6XdOtTaOhEYvNwtTwqfxa\n/St+Tn7Mipp1Wsazr5Mv713+HvdsuYeHtj2EXJAzPng8OQ05LMtdZjeeq9qruv0LUNBcAMBXM78i\n2i1aisU+Gi4SoAzAJtooai3CZDXR3NnMhJAJp9yvP8LKQytRyVT09+h/wjamTguNlR34hLjgqHRk\nxdQVFLYU8tye59hYthGAa0seIO3AkR7rNpS389GD2xFkAhNvjMUjwAmlSo6b7+l7fssPNVGcUc/Y\neTGXrGJSTloV1YWtVBe2Ep7kTUSyN6JNZNsXBRSn1zPq6ihCBvR00Nj0ZsyFLdSq5dRkW9j9XTFO\nAc50FrdiQCDoIhiYXKrk5uaq5syZE7V48eKypUuXeh08eNBRLpfz4osvls+YMeO8x8P86Yznpg4T\n//o+h+8yq0gJcef9GwYjAmn59Xy+r5whYR64OihZuv0In+0pY8GIsDPe1z2rMlifW0vO05NxOpql\nvXJ3GU9/n4vJYuOOcZG8uiGfd7cW2de5fPFWrh8eygfbpRfY38dH2Y3V08VRpSDax4W8Wh0jIz3Z\nWdRIdmUr76UVMzcliHe2HNvv3JQg7psUg7+rZDzeuzqDnUUNiKLIY99kcbimjbgALR/uOMKiiVGU\nNxm47v3dyGUCX94xknAvyagfFeXFxvvGYbTYKD9anamgTofFZuPhr7IoqGrjntZjBmpwrDtDpofh\n6t39JaxQypl8W/fpXYVKjqv3yZMB5UoZw2ZKkkMWk5XwJG88g6T+/bgyjYpdIge3VDB0ujQ9WbS/\njg0f5iLIBG59dYxd+cJksJC+oYyE1CActSqyt1aw98cS5jyUgtbz1JMSTQYLP759kKaqDuqOhqkE\n9ZemQNWOkgFv1Fv6jOc+urEwaSGh2lAe2/4YNfqakxvPujJCtaEAuGvcaTI2/W77M6HVYKbRYOOr\njEO8kPYNdVXxgBwXtQIHlRx/Vw1vzhtor9AG8MSOJ8isz2TBgAXcPehu1PKeg1+zzcyOyh1Eukby\n/JjnqdfX81H2Rz2M5+oOqUDK1PCpvDD2hTM+Dm9Hbz6Z8glLs5bybua7DPEbQqBzIF/mf2lP0Kzq\nqOq2T4CD9QfRqrR2w/l4AlRSaNiLe14kvS4duUzO1mu3olWdeaGTU6FeX8/60vXcnnh7r+WwW+r0\npH2WR2V+CzariE+oC6OujiIg2p1o92jmxsxlb81ePIy+qJq0JF8eQniiJ03VemxWG9GDfSnNacTc\naeXQzmp7OB0C/O2/qcjkMox6M0qNott17w2Lycqa1zMASL4suMd7/1KhqqAFrZcGpVpB2qp8/CJc\nSVuVR9GBepIuCyZpYnCv61majQA4RbhBfS0H1pch2kTkChmX/fX8aEmfC7799tvgurq6s3oxfXx8\n9LNnzy4/lbaZmZnqefPmRX744YdHfv75Z60gCOTn5+emp6drpk6dGl1UVJTt6Ogons3+nYw/nfG8\n+XAd32ZUMS3Rn1fmJtlDEGYPDGT2wEBAimXaW9rM+9uOEOThyIgIzzMK4VifWwvAxztLiPR2wkWj\ntEszNXaY6DBa+GxPmb39hnvH8trGArvhPPtooYA/wi1jwimo1fHPyf1Jeno9n+0pI7+2nQ25tagU\nMpbeMJhnfjrE3ROj7YYzwAB/Ld+kV/LGpkK+Tq/k3stiiAvQcuuyfXy1v5LXNuYDsPK24XbDuQuZ\nTMBBJSfU0xGZABnlLby6IZ/SRj1eNunl6h3iwvjr++MdcvrZxfm1OrYVNBDm6UhCkCvVLZ1oHZQ4\nKOX4uXafLlWo5PiGH/t4uYYKqI3e7P+5hNA4T3zDtdQckQxa0SZSsLeWuDGBWC020lbnk/drDRWH\nm1E5yCnLka5dTloVI67svULYb7FZbaxbmkNzjZ4rFiaga+xE46xE4yQZzWpH6RHr7DDj5HZinW5d\ngAAAIABJREFUj3of/3soZUqSvZMBKZmrpqOGz/M+Z7DvYFRyFXtq9nBn8p2A9M4qaysjMSIRkIzn\n6vZq2kxtHGo8xADPAbioTv9ZK23sILuyjWmJUqjUnSv2s6PQgMb/eZRuB4j1i+POAU+zI8/I/tJm\nrhkc3MOAKmkrwdPBk2W5y9hbs5cV01b0iMV+dd+rHKg7wP0p96OQKZgUNonn9zxPua68WyhCTYc0\nU+bn5Hfax/JbFDIFC5MWcl3/63BSOvFL2S8sP7Scw42HSfBOsO+rsl1SCLGJNrZVbmNU4KhePabe\nCm/UcjUH6g4wKnAUOyp38EvZL+dcH7m0rRSAFJ+UbstFUWTLyjwO7ahGoZSROCEYFw8N+9aW8M0r\n6QyeGobWy4G2NA/GGOYywEeaGUgcH4SLh4aA6GMxzv2HS9ffL8KVH/6bib7NBCIse3QncpWctgYD\nSRODGX21FHbQ1mCg/FATEcnetNYbaC4S+enQQcoPHRvQVea3XLLGs66pE1dvB4bNjOTLF/bx0YPb\nQYBRV0eRNDH4hB51a4uUHN5vYjD1/nVMnJRKp96MTCagdlRiqa8/n4fxp6CpqUkxe/bsqC+//LIo\nJSWl84knnghYtGhRHcDAgQM7AwICTFlZWZphw4YZzme/zpnxLAjCh8B0oE4Uxfijy54CbgO67qBH\nRVH86ehvjwC3AFbgblEU153JfksaO5DLBBZfk4xK0XtIhiAI3DMxmtuW7eOvH+0ltZ83H/9Vihtr\n1Zt5cd1hHpzcH1fHEyfjWKw2VAoZJouNl9bl9fg9u7KV25bto91o4YU5CQR7OBLt68Jb8wdxU0kT\nbg5Kos+CTM41g499eCJ9nMiuPJagd/uYCC4b4MtlA3x7rBfrLxmcizfmk9rPm0UTotCbrQA8+k0W\nHk4qVt0+nCgf5x7rdqFWyAn1dOKTnSUALL9lGOvWFUN2O2P/0u+MDGddp5kr39pBh8na4zetRsGm\n+1PxdpGM0BMldIy7Loa60ja+fzODmf9Ipq6kDf8oV0wGC1tW5lGwt5bODrM94aOmuBVnDzUpU0Kp\nLWkje2sFA0YHnJIXvGBvLWU5jYz7Sz8iekkG0Rznee7jzLDZxJN6vH6LxWpD12nB3eni1lX1dZKe\nzaVZS3lqlxRfm16XTqBzIN8Vfcf0iOmEaEOo6qii3dxOtLtkvHhoPMhtyOWVfa/wdcHXTAmbwkvj\nXjrt/d+18gDZlW0U1sVw+9gIdhU1olG1o3HLItYzkcKWfF7NXcjyqcsJdE7ssb7OpKPF2MK9Kfei\nVWl5etfTpNemd4vDbTW28lXBV8yMnMlN8TcBMMJ/BABP73yaNya8YY/37vICnw3juQtXtSsAA30G\nAlLSn7vGnb01kvpPbUctOpOOT3M/pamziXFB43rdjkyQ8fjwx3FWOjMhZALTvpnG6wdeJ9E7kQjX\nP+YE+T0q2qXCGq4GH7LTKokd6Y/VYqO2pI3cbZL3vP8If0bNiQJgwCh/tqzMY99PJQA4alXEtY2G\nWogbE4CLx4njtb1DXLjhuZFYTTYyNpWjazBgtYq01RvI2lxBQJQb5k4LW1flY+60smXFsW+fs7uO\n2BH+RAzyYf3SbKryW/5QInfh/jq0XpoeiePnA11TJ14JkvNl4KQQcndUMWFBbK/v+OOxtkieZ6WH\nBoVGQJAJ9lBFgPq33jqn/T5XnKqH+Fzg4uJiDQgIMG3evNk5JSXlopGuOpee54+B/wLLfrN8sSiK\nLx+/QBCEAcA8IA4IADYKghAjimJPC+okHGnoINDN4YSGcxfj+/tw4InLWbrtCG9sKiAtv56xMd58\nk17Bit1lqBQyu6B/b+TXtmOy2Lh7YjSJga74uWpYk1lFvc5IdauBnUWSwsKr1yRx1aDulQC7YpLP\nNgmBrmRXtqFWyJg/LJQ7x5/Ye5oS6s7UBD+aO8y8MjcJmUzAWa1g/rAQShv1PD59wClpYEZ6O3Ok\noYNFE6IYHe1F/tZKDLTTqT6zWLe12TV0mKwsvWEwWgclByta8HBSkVerY8nWYm76aA+PTo0lMciV\nSYvT0CjlLLt5qF3oXhRFNM5KZt87kG9fTefL5/chipB8eQjJE4PJ3VFF/h7JeL7ijgRCEz1prtbj\nGeCEIBNoazDw+bN7WfN6OrPuGWiPkRZFEaPegtpR0c1grypoQe2oIG507x8JtZP0iBn15jM6H//r\nvLW5kJW7y/ju76Ow2kTaDGb7oPNEg6eKZj03fLiH4voO3ByVpIS4s3heMlpN74Phwrp21AoZQe4O\n5z1GUy1XE+AUQE1HDdfEXENjZyNpFWmISDOQ60vXc2vCrRxulEoJ9/OQQrzc1G40GZs41HgIgJ1V\nO7HarMhlJ59B217QwFPf55AU5GYfbC/emM8PB6tQeGxG6bMOK/DsmP+gN+uZ9+M8Npdt5voB1/c4\n5+U66Zsa7BLMqIBRPLf7OT7O+ZiBvgPt3ueVh1disBhYMGCBfb1w13BGB45me+V2dlXvYmLIREDy\nPDsoHM5JKIS3ozdzoudQ0FKA3qy3L7eIFkZ+JsVBjwkcw/jg8SfcxqyoWfb/vzH+DW5YewNvZ7zN\ny+NePuE6f5RyXTlyQU7RTzrKc8vYurK7syZmqC+DJofa/1ao5ExY0B/vYBe8gpzxj3Yja3MFNptI\nQmrgSfcnl8uQO8jsYW8geVy/W5zO2nezAPCPciXlijD2rCnGzdcRm2cdk2aOtN8bfhGudqWlvT8e\nwWKynfJsXnluE78sP0R7kxEESEgNYvisiPNWaMpitmJoM+F8dJAx4spIhs+O7HUAb2nqxNpqRB0u\nDdAsrUZQyJA59XzXGIuP0PLFl+e2839ClEqluHbt2qLx48dHOzs720aNGtW+fPlyj5kzZ+oOHjyo\nrq6uViUmJp53o/qc3Y2iKKYJghB2is1nAatEUTQCRwRBKASGArtOd7+ljXrCvE4t6U6rUXLX+Ei+\nPlDB82sPMzrKi1qdNHLcXdxEp9lqD+do6zTz14/2ous0o5DJaOwwopQLXDskmMCjMk3xgdIDtHRb\nMb8WN/Gf2fE9DOdzycNTYrFYRUZFedlDVE6Eg0rO2/NTeix/5spTk4TqYlZyAE5qOdfH+rPqP3tQ\nKAT0gkiNwUTYKazf2G4ks6KFERFeaJQyVvxaSriXExNjJe3VoeHHBhrJQW7864dc5i/dTZC7A9Wt\n0vOyYncZD18hJdK8l2Xknbxf+XzhCGbfN5BvF6cjiiKdgRo+Ti/nrmlRDJ56rGdpBQ0MDfOgrt3I\n2qxqSpv03HJnIj+/fZAf3z7InAdTkMtlrFuazZHMBhRKGS5eDtisNly9HGhvMeIb7nrCJMOumOfO\njj7P8+myq0hSyxFFuOzVrbQcHYDce1kMd0+M4qk1Oew+0sTP94wFJGPaahO5Z1UG9W1GHpgUQ2WL\ngc/3VXDNu7tQyAWqWjp5cHI/rh0izdgYTFamvbENo8WGv6uGG0eGMW9IMDsKG5mW6E91q4Gv9ldw\nZ2rUaXu/T5VPrvgEtVyNu8adNUVrWFeyjv21+wFYV7KO/h79uWfLPQDEuEvKFh4aDyw2C4eaDuHt\n4E29oZ7DTYeJ8+p9wP/5vnLe3VKEyWqjotmAQiZQWCclGW9+IJVdRY3864ccVOFbALg+9nrCXcMR\nRRE3tRuFLYW0GluZ+e1MXFQuDPQZyPzY+VToJK9osEswjkpHxgSNYVPZJh7b9hhz+81lQ+kGvi38\nlstCLuuW7CYIAs+PeZ7Rq0bbtwGSnFyoNvScDWKeGvkUIN0rnx3+DD8nP34p+wWj1ciCAQtI9O7p\nXT8RUe5RzImZw6e5n1Kvr8fb8fe9knqzHoPFgKfD6SkBVegq8HcIoGZ/G45aFfHjAlEo5bQ1GnD3\ncyJxfM9vjEwu6xaXe6IY3VPFyVXNtY8P5dCOaqxmGwnjg5DJBHti9JYt9d2umU+oC0cyG8jdUcWe\n74+gUMoYMj0MxSmER+7+vpj2JiMxw3xROyjJ2lJBZV4zw2ZG4OrtgGegMxazlboSHf5Rrmf9Xmlv\nkmwAF0/JeBYEgd52IdpEGpflYq7pQB3jjsu4IKzNRhRu6l77VL/4VWTqvtC9M0Gr1drWrVtXmJqa\nGvPII49UZWdnO8TExAyQy+UsWbKkxMHB4bzGOwMIonju9nnUeP7hN2EbfwVagX3A/aIoNguC8F/g\nV1EUlx9t9wGwVhTFHsM0QRBuB24H8PX1TVm1apX9N1EUuXOTnpEBChYMOPWb9NcqC+8eNHJ7oprd\n1RYy6yWHt4sKUoOVpPjIqekQefegkQQvOfKjz8XkMCWxnj1fBiarSFW7jTDXP54gZrOK6CpBG3xM\nPL69vR1n5xOHU5x0mxYR0QZy1dl76VTttdF8ND+xUm5FMwLGBp1cg/aDLCPbKi2o5RDkLKOo1cYt\n8SrGnGBdk1Vkc7mFH4pNRBw9v3lNVsJdZVhFyG+WqoD9a6SGEK0cm1WkvlPkoW1SONQzoxwIdJFm\nJQ41Wnlhr2SAC0DXk3BfipoIq5zSrSIuAeASIFC1V8QjBgQBTB1w3Pce73gBn/gTxMCZRA5/LeI7\nUMCr34XLPP+j98z5orTNytIsE+OCFPxQbEYjhxEBCopbbfT3kFOms7Krykqit5yDR5/TV8Y54KIS\neHlfp/3635qgYnSgdA9tKTfzc4kZ7dH7Pb/ZRphWhqfKyvgwDS/vMzImUEGDwcahpmNV5J4d7cBH\n2UYKWmw8O9qBAOdzX4inxlzDM1XPAOAkc6LD1oGPwoc6i1Ro6M3QNwHY3b6b5Y3LAZjhNoPvW75n\nhtsMJrlO6rHNSp2NJ3cZcFUJKGQwxE/BIB85//q1k1EBCm5LlN6V1e1WXmx8kGR1Igt8FyATpON9\nveZ1rFiZpJ3EkvolRKgjqDJV4SJ3YbjzcL5v+Z6Xgl9CI9Ngspn4pvkbtrdvB0ApKIlziOMq96tw\nV/TUEX6w/EEGOw7mGs9r0Fv1PFLxCBO1E5npPvMsn9k/Tm/PUKmxlJdrXuYWr1tIdkr+3fWfrXqW\nanO1/RqeCjbRxovVLxLaFE9i9lSCxwhoAy8+BYvfnhtdlUhZmggCyFVgNULYeAEn355972wVUbtI\nRbM6m0WK1on4DRLwjJHatpaJVOw8Zqf4DxZoKhAxtkJoqoCz39k7H2aDSP530r7CJgg4+Qg4Vwl4\nFAp0+Io0xkjHBOBYBwEH5Oj8bDg2CMgt0g96T5GqIbZu50TW3Iz3I4/SPvUKhi5evF8UxcFnrdPn\niMzMzJKkpKRTE6H/k5KZmemVlJQU1ttv5zth8B3g30h2yr+BV4CbT2cDoii+B7wHMHjwYDE1NdX+\nW2FdO4Z1Wxmb3I/UkWGnvM2xNpEdjTv4scyE1aZkZpIv84YE8+GOI3x/qI7viySPl4eTim/vuwz5\nOfJAgTQAKMlqxMPfCVdvB9I3lHFoZyEzFiURYh/lb+H44z4d6st1/PT2QZQaBdc9PvSMZNkArBYb\nu74pssfQffTtdqRwdch3EtE3OjB/8kAivXsabFvy6qjXGZmVHMiiLRsYE+1FkLsDO4sauXawJ49e\nlfC753gS8G+rDRHIqWrjjU0F6DrNdJptpKja2V9rpRg/bkiVvHCvrM8DJP3WI4If81OlrOf9R5fH\n+DozLSGAibE+XP3uTprU/tw9M46DvhVsW52PrlLEzdeRefcOsw9g9G0mKYkEmHjVEDwDejdMRZvI\n4W82E+QXwvDUU5u2PBf8kXvmfNFptvLBsn2U6xpYfsiESi5j+e0j7TM6ID0fL/yc103BRu7Xj81H\nmshvlpJzVXIZj153md1TnAo8dbStzSaydHsxz/50mBIE6mySgfjUvFEEujkw/c3tdo/s8iIlBS3S\noKtfwkBSQs99EQlRFHlmmWQ8Xx9/PUsOLqHOUodKpuKdy96xxxLLKmQs3yQZz/NGziNvVx51mrpu\n17jTbOXdrUW8vbsIJ7WSH+8Z2y3hdsSwNqJ8nO2Fjpo7m3l2tYlQx1AmjD8mwbb91+38WPwjNj8b\nsgYZn835jK0VW3kw7UF2du4kyDmIKROm2NuPs45jadZSotyiGBM45nf1q8O+D8PmYCM1NZWlWUux\nVdi4cfSNJHlffOXse3uGjFYji1csRuYvI3VQaq/rdbHok0UAp/wcWmwWntz5JDWddcwsmYybnyPT\nrhl6UVVT7eK350bfZuKjtO2oHRVced8gVj+zF7HBA7Newfjr+9s90Bkby9ixtpC4sYGk/qUfmZvK\nKaKAyXNH2iVLRVFkh6YQQQZ5u2uo3mfG0VWFXGlBKwQwNvXUdMZPhiiKfPdaBtCMIBMYP2UUjloV\ndW9lYNLrUB0RCI0JRZsq1UZo/DQXo0sb/RcNQ7Ta6DzUiD6zAfcBnoQHWDnwwYfEpaYic3KiddMv\ntACJixbB4sVnpb99XFjOq/EsimJt1/8FQXgf+OHon5XA8fNKQUeX/S7tnRa+Ta+0hygs21WCSi5j\nakLvRTZOhEwmcNf4SBYuPwBIscMjo7wYGeVFbVsnf195gL0lzaT28z6nhjNIGpk/vX0QAL8ILR2t\nJkBKTOsyns+UIwcbWP+BVKinvdlI2aEm+7QbnDiGtIu2BgOiKKL1cqDkYAOZm8rJ3V7F2HkxmDqt\nDJsZgdlkZUB/Z+5amc7lr27ligR/DCYrj02LxctJzdM/5PD1AenS7ihsQNdp4eZR4Yzv73Nax9Kl\nz50c7MaHNw2xL9+yZQs/1Luzck8ZwyM8GBruydrsGoZHeOCn1fDhjiOkhLpzRYI/vxY3khTkynd/\nH21ff2SkFxtya0kOdmP0YC9S2oykryvrJoIPUhLOFQsTcPHQ2A1nURRp0ZvZVdyI2WojwM2BjLIW\n1O7qo5qhLfhHdS+l3t7cSXZaJYMmh563mL6LibT8eqpbDewraebn7Bp0RgsPTemPp5MKdydVN8MZ\npNmXh6/oz4wkf1wdlFzx2jbuWS1JY90+NoKa1k7mpASdMMRCJhO4fWwkfx0Vzk1vbWBHlQGVQkao\nhyMKuYxlNw/l1Q35fLm/gtzqNvr5SlKQrQbTOT8XXccX5RZFYUshcZ5xJHsnk1GfwY1xN3ZLwnNX\nHzPk+3n0Y7j/cFYdXkVDuw5HlQOVzQZuXbaP0kY9M5ICeGxqbA+lmq6k4S669I49Fd3fMzHuMaw2\nr2ZN0Rpi3GNwVDpyWehl+Dj6UKevY27M3G7t1XI1dyXfdUrHG+QSREFzAasOr+L1A68zIXjCKVcT\nvBhQy9VEukVyqOnQKa/TJZX3e9hEGw+mPciG0g3cpX0Ea7ucMTfHXJSGc284alUMmhJKyAAPPAOd\nCervTunRSqtB/Tww6Exkba2wh0jkpFWi0shpqGjHxVPTTetfEARGXyMlygb2c6cst4mh08LZ+HEu\nRzLqGTItjKr8FurLdLTUGYgfG0BQ/9PPK8rfU0tlXjPj/tKPuDEBCIKApcWIqVyHdnIo5lo9betK\nUYdqEVRyDHnNOA/1Q5ALCHI5jkk+OCR607xsGXUv/YQ28yDlK1bYt6+Ji0MdfnGXRu/j1DmvX2tB\nEPxFUewS1bwSyD76/zXASkEQXkVKGIwG9pxse0caO7hndQaT4/xQyAW+y6hiaoKfXY3hdJgYe0yR\nYt7QY3a8r1bDytuGc7CipVcv6tkmJ60KBxclSRODyd9Ti66xEwetiqKMelJq9b+bKf17mE1W1r+f\njbu/E1csTGD1f/ZQtL/Objxnbalg/9oS5jw02L4PURSpzG+ho7mThsoOMjeVI9pE1I4KZEcTMs1G\nKzu/LsTFU0PKlFC7J3vbg+N5L62Yj3eWYLTYkAkCpY0dFDd0cNf4SL7LqOLbjCqGhLkzNubsliz9\nx8RoNh+usw+GAG4bk8DMpEDKmw38/bN0wtbnUVTfwd0Tu1d8mpUcwD9WZXDP6gzGRHux7OahDJkW\njkze0xg7PvO6qL6d+z7PJLO8pUe7qUYVcQVGvn75APOfHm4vPHBwczk7virEZhExG62MuebseFAu\nJW7/dB+dZhvOagVT4v2YnRzIqCjPk8YxxgVIRvUtY8J5bWMBQ8M8eHByv1MueqSUy5gdpWRPrZVI\nb2f7egFuDrw8NwmbKLK7uIkXr05k1ls77PHW54OHhj7EXRvvIt4rnslhk8moz+hRgCTMNYwotyju\nHijpKg/3H86y3GWk/vdjIpwHEhfgSr3OyIpbhzEqyou0ijT2NrQyI3LGCffbJdn22/CK8cHj+fev\n/6ZWX8uUMMnDrJQpmddvHm+kv8Fw/+FnfKzBLsFsKN3AM7ufITU4lZfHvWwPF7lUiPWI5ZeyX8io\nyyDZp/fQDb1ZT3T9YLzbg+kwdeCmceu1XReHGg+xoWQDf/N6AO2+CKxeNrt2/KXCiNnHZtpihvpS\nnivJ2P2yTBpoaJyVOGhVXP1gCrvXFJO+oQxEiBnWUx2qi7AEL8ISJK3rxPFB/Pj2QT59bBdmoxWZ\nTEAEZHLhhMZzVxGsznYzJVkNRA32QaGUYzJY2PlVIT6hLsSNDrC/fwzZUtSCQ7wXLqPVVBe10Lj8\nEDa9BZmjAqdh3VVhDBkZ1D73PADGxARiHn4EW0cHIKKJ717XoI9Lm3MpVfcZ0oyplyAIFcCTQKog\nCMlIYRslwB0AoijmCILwOZALWIC7TkdpY9XeMvxdNbQazEyJ7+51NnVaaK7R4+yupqa4leBYj24e\nPqvZhkwuoJTL+PrOkajkMnt56y6UchkpoedGIeN46st0FGfWk5ikxuO9+5m75F06FVqaqtv5/o1M\nVjz5K56BTrgliHS0GJErZTRWtBPY7+Qv1frSNixmG0Omh+PiocE7xIXGSml6On9vDWmrJF3nogN1\nJF8WQkNFO9u/yKcy75gxGDXYh6B+7tSV6Wgo0zHw8hB+/a4Ig87MkGmB3UJAPJ3VPDI1ln9O7sfr\nmwp48xcpbOKd+YO4IsGfv44K56esaibH+Z11b36whyM7Hp5AZnkL+0qbifByYkq8H4Ig8OGNQ7jy\nnR0U1Xdw6+hw/j4+qtu6U+KPvQy3FTTwXUYVycFuPPBFJgND3Aj1dCLATUODzoSLRsEVCf58n1nF\nw18dtBtgggCPTxtAiIcjGqWcZ97ZRxzSNGXBvlqGTAunNKeRbaulamYKlYyszRX0H+5/RvJ+lypG\ni5VOs41pCf68ck3SGWmt/2NiNAND3BkY4nba1UK9HWX8a1a8vcDR8Tx7ZQJmqw2rTYp/7CpJfTJs\nNhFB4A8lMQ33H87+BVLC4KyoWTR2NjIqYFS3Ni4qF76Z9Q3rc2pY8MFu8ut0iP5yTMo8DlZEcLCi\nlRERnoyK8kIURe7aJHmCp0dM79G31/a/xvbK7bSbpfeBh6L7u87b0Zt4z3iyG7O5OeFYlN382Plo\nFJrfVac4GVPCppBZn0mYNozHhj2GUn7yPImLiaaqDubHXM+emj3csPYGbhhwA/em3NtN9UQURQ5m\nFTCxUFIb0Zl1duNZFEXS69KJ84rrVlwmt/owc7IeQOwIxqi1MO4v/c44xO5iIDrFl9Y6A4IAtSU6\nUqaE4hehxWK2odIouPzmOFKmhJG1tcKuOX0yQuI8mX3vQDZ8mEvC+CCGTg/np3cO0lzT0Wv7qoJm\nfno3i+jBvuTvqcVksFBd2ML4BbHs+fEIep2JqXcmdjvPhuwG5FqB9s0/4H7NNWgvC6VtfSnay0Nx\nHhWApbaSphXf0pmTi9zVFWNBgX3djilTcBw08I+duD4uWs6l2sZ1vSz+4HfaPwM8czr7GOCvRaVV\n8/T3UkUklULG2JhjFZisZhs/vJlJdVGrPSPMO8SFaXcl4uSqpqPVyNcv7cfF04EZdycxKOT8j+yr\nC1vI2lpJXWkbrXUGNE5KIjozacvNpf6NN/D/979x1B77oOh1ZprWixT9vMO+7MbnRlJxuJmMjWVc\n9UAKKoeel7WmWJIN8ouQpmo9g5zJ3FjO1y/tp7qolYBoNzo7zBQdqEPX1EnW5gpUjgrGXBuDf5Qr\n5k6rPbP5+Hz+spxGKg430+8ELzyFXMbfJ0RRrzOi67TYjVMvZzU3/IHqjidDo5QzLMKTYRHdp6Bd\nHZV8tXAkudVtjIrqWa1LrZCz6f5xOKrk/G35Af71Qy7xga7sK21mX2lzj/avzE3i/i8yGRTixlvz\nB+HppKZFb8JHe2yGYMYVkez//ghDHR3Z92MJ1UWtNFa24xHgxNxHBmM121j51G42Lz/M1Q8PPmeq\nDhcbdW3SlO24GO8zMpxBMlLH/YGZi+uGhvS6XKOUo1HK7cbzqXierTaRKa+lkRLqzvNzTl214fdw\nUbnwj0H/6PW3koYO7l6VjlohZ1yMPwWyWJQRVdSZ1NS0GkkIkrzzx4cU1Opr8XPyw2wzoxAUtJvb\nWZa7jBCXEEJcQhgVMApHY88Y5XcuewedWYeH5phh7ah07CY/dybEesby8ZSP/9A2zhUWs5Wy7CYK\n9tdSld+Cxs/GPv0RBk0JQyYTyNxUzvYvCvCLcGX1377g9azFfJL7CYN8B9nLdps6LXyxZDsth44l\norYZdHB0jLyrahd3bLwDd7U7P1z1g12iryS9Ce+OSMZcG03c6MBLJlzjRBxfFfZ4VMcNeD0CnBh3\n3elV2/WPcmPBMyPsA0J3fyep0mIv2vD7fy7D2GEhe2slofGeOLmpyd1eRe4OaTJ8wOgAfMOOhTJZ\nWjsxlbRiPPwDLcu+x2nYMJyHheI8TPrW6X75hYo7pUGp3MMDW3s7osmEdupUvO+7j9rCAvr483JJ\nB1nq6g284uqN85V+lDbqCXR3wFF17JB2fVNkNwwDY9xw8XQgbVUeX72wn0m3xrFtdT4dLSbaGjrZ\n/nnBaT+4fxTRJrL+gxzMJisBUW70H+5P5CBv9C99B0DLl1/hPn8+mv79mfNQCgqlHEetiq/e3E7b\ncZLlO78uonBfLaII1UWthMZ3NxiL0uvY9U0Rrj4OdsF2r0ApBKW6qBW/CC1T/5ZAzvZRSpnDAAAg\nAElEQVQqdn1dRE1xGwNG+TPiqih7pbwTMWRaGCFxnr9bUEStkJ81Y+Js4O6k6tVw7qIrPOf5OQlM\neW0bafn1LBwXyT8n96NeZ6TqqHzZit1l/N+32QwKcWP1HSPsiVfHG84A80eH8eKmfIal+pBskFG4\nvw5jh4VpdyaiUMpRKOWMviaa9UtzyNpSQcK4QGRHt2U0WLCabThq/5+98wyMqlq78HOmTzIlvXcS\nAiQEApEuVQJSFMXProiVK1bs3WsBFdv1Xsu1oWLFgoAgIE2K9Bp6Se+ZZDIl02fO92PChJgAARH1\nyvoDmdlnnz1nzpy99rvXu94/d7GP00G12e90Eq0/PSnS2YBUIqBTyY4beba5PLg9Im6fj42FDRyq\ntXKo1srYnFjOzzizcqRfY9m+GhxuH8vvG0p8iJrP941nxqYZZCcVUl0QT2pEMA6PgxkbZwSO2VO/\nB5fXxS1Lb2FE8giyw7Nx+9w8PeDpgORg1apVbc4Vogo5qdTgfwWiKLJrZTmbFhThsntQaeQ4m9zY\nzLDxYBHblpai1sgxGxxIJALVhSYKFtXw6MRHWVS0iA1VGxieNBxjdRNz/7OZJoMHr8SN3OePLJvM\nFmhO8dhRtwOlOwiNMZqZq1/j2QueorHGhmRHFI5gE92HJpx17/G/Go69PmExwXjdPj57agMxaTpG\nTvaHeioPGSndW0+PEYlk9o0hMkmLz+vDbLDTWGuja/9Yel7QspAWfT6q//lfUPRCmSTHdUDAtOAH\nIu9o0fKbFy5CUChIW/gD8oQEEEU8tbVIQ0P9lnTnyPP/NP7S5Nnl8FJeUM/UqW0zs0v31rNzRRnd\nhyYw+MoWLWl4fDA/vLmLb1/aiiDAhVO6U3nYxI6fSolI0JB1/slN5M8EjmyvxWp0YjU6yb85i4y8\nFp1XY3Exqpwc3KWl1Mx4gaSPZhGT2pI4ldgfIuvW8LNzEKIocGhzDZFJWgzlVqqONLYhzwVzNgFB\n9BvfYqR/VB7QY3hiIBmj+5AEdiwrI0irYMg1XToUAY3LCG1V5vV/CV1idPzn6lxMdjeX5yUilQjE\n6FXE6FVEaZV8trEUh8fLMxdnB4hze9CpZAQrpFS53dx6SRb9JnTC7fS2kg+l945i/y9VrJ1ziF++\nPUyf8anEpoew+N3d+Dx+X9WsQfE01jRRtq8BY7WNrMHxrRI+/2qobvbpjtH9eckz+Hcr2iPPn20s\n4bG5u1u9plXKCFJKeWnxAQalR5xR4mOwOrn90208PKYLvZJCKa73F4E56jN/eeblzD08lyrbF4zO\neZb8rEgeXvMwO+t2Mn3QdJ5Y9wSLChexo3YHtfZadtTuwOgwEqYKOyV/4/91FKwqZ+2cQyRlhdFj\nRCIJmaGU7K5nxZcF9B6RjqXegd3qJuO8aPqMS2XNnEMUrCynttjMoKSRfLH/CwoOHGTA5qtx4WBH\n3iJevPSf/PzxIRoOuDCZWmQFeysOcMWehwmy62E/fLB6BT6rFJlDhW9QxTnifIoIjfXXeDDX2THX\n2ek2MI4j2+rYu64SfYSaPuNTA89diVTC+Lt6IkAbSUz9h1/idcYhC3YS+/qzlN1UiWn+fCKm3o4g\nCIiiSNPGjWjz81EkNudICQLymDNXGfMc2mLatGlxGo3GazabpUOHDrVMmDDB8keN5S9NntWao6WP\n3YFiFAB2q4vlH+0jNDaYAZe2tgeLStZx5eN92LWyjJScCGJS9SR3j8BQZmHdN4fpOiCWveuqKNpZ\nR/7N2SjbkUCcCo5Wpjs2gmtpcLD4v/5JNzhESWpORKv2ruJi9BMmoL/oImqee47amS8Tdd80BKl/\na1t+8CCSxV8ylC8pu+x5jKoEzo89xPJiGYXbVdSVWOhzURrRKTpclZXU1IrEGn6Bx17ENmM6Qb17\nEx6v4fJHzyMioSUJUq6UcvkjecgU0naJs2XFSmSRkai7/30SH8bltF85MCE0iJwEPX1Swto4Qvwa\ngiAQG6IOkEVBEFCoZPh8IjUWB1FaFVKJwJCrM/nl28O4HB42ziv0l3bVKrDbPGxZWMyWhcWA3zFC\nqZFTsqeeG2ee/5vv0T8KAfL8J448A4SoFczdXsHFPeMYmtniCvP99gqSw4O4vn8KcqmATCIhJ0HP\ngWoL9329k083lHDdGZQmbSpqYFNxA7d+soXvpw6k2GAjObylIJRMIuPp/k9z5cIr6Z93hP/uXs3y\n0uU83Odhxncaz5qKNfxY9CNhqjAGxg1ke+12DHYDvaN7n5UkPZfdw8K3diFXSolJ05HZL/aECdB2\ni4t966so3F7HgEvTics4O5HvXSvKicsIYdzUHgFSldojkk5GCT2HtpX5nH9FZyKTtGyaX0inohHo\ngzKR+5Q4sLG6z8f895I3idNE03mwkQ0HKrFa/dUNRVHEdMhDkF3P+VenM2vLbLR10YQHR/J153/x\n2bhZZ+Xz/i8hJk3H8Ou7EhquYvubO9n2nx3UeCCjXwznjU1p42h0vACRbacNqTaT0Cu7IpFI0I+/\niKpHH8W+ZQuu0jJMPyzAazAQ3K/v2fhY5/ArvP7665V/9Bj+mrNuM45qey0NjgB59nl9/PTBHhw2\nN+Pv6oFM0VZLGaRT0O/iFlItkQh06R9L+X4j+zdUB8qfLv9oLxdO6f6bVv8HNlaz/KN99L04DUGA\nTrlR1BSZAMgbk0KPEYmtxug1GPA1NaFISSH0istxFBTQ8OGHKNPTCbn0Ev/4V68B/DLuxG8eJzOv\nN42fbiE8KZ9CycUYq+1oQpVolS7mPPELHnkYIeZC3FWllFw/iZinnyL0//6v3eQ0TWjbyczndNLw\nySfUvfIqALrx4wmbNAlV1y4BQg/gs9vxNjQgjz870fs/GvOmDjx5o2bE6lVUmloqiG4srGfanJ1U\nNNqJ1at4YFQml+TGkzkxjb3FjQRV2YhI1FDTNRjxoJlkt5Ty/Q2cf0VnOveJpqGyiW9f2krxLgOZ\nff980Y51hw1sLzVS3+QiPkTNTYNS2/yOqs0O1HIpuj+5Rd/RCfaGWZvZ+vgFhGuUGJtcbC0xcsew\ndG4a1Np+KitOx7ydlUxftJ9BGZGkdrDi6cmwv8qMRACnx8fNH2/BaHPR71ea/qyILILlwXxQ8AFG\np5Ebsm7gmq7XAPBkvyeJCYphQsYEtlRvYV3lOmweG9d3u/6MjO9k2LSgiMrDjYRGB1Gyu54j2+u4\n4rE+bdrVFJs5sq2WnSvK8Hn8mvOKg8bTJs9ul5ftS0rIGZ54Uhma0+7BVGeny4DYDifoSSQC3QbG\nkZEXzf71VWxfrsLn8VHTbztvDH2VOI1/Aa7X+wMV1ma5Urm1nKDGcJCJZA9M4OasCVyz8Bq8opeR\nySNJ1iUf95zn0D4EQSCzVyR1/91F96DmuUkqEKyVoW1nbmsPPpcL0a1EkDUSlOUPbGnzR1L93HOU\nXOf/rcgTE4m4/Xb0F198oq7O4QzgoYceivnqq68iwsPD3XFxca7c3FzbxIkTU8aNG2eaPHmy8fbb\nb49fsmRJiFQqFYcOHWp+9913y0/e62/Hn3vWOgmO2odZ6h1EJPiJYMmeBsr2+b0aj77WEUQl+9vu\nXO4XE/cenczWxSWsn3uETrlRhCcE8/MXB/F5fCiD5Ki1crIHx6PWnliLWrrHb8+zcV5h4F+1ToEy\nSMZ541LbrHxtO/yetaquXRDkcmJfmIHz0CEMb72Ffvw4rGvWotq2jfB/TCFiyhQKx43HvmUL4f+Y\nAp99iVU+iFp3ONZ6Oz8+9j1NijSioiScd//TyBwW6l5/neonnsRTVU3kXXcGzutpaMD03XeE3XAD\ngqz1bVH1yKOYFy1CmZmJZsgQGj76CPOCBQSddx6J77+HRKnEazJxZPSFeI1GOm/ZglRzZgjDnxmn\nsqiK1as4UF0X+PvVnw7iE0WeGNeN+TsrmTZnJ+/8fISDNX7Hg5/uGUxBpYln5+wkSCFl11P5iB4R\nudI/IUSn6AgOUXJgY/Wfjjy/v6aQ5xb6k9TUcil2txeLw4MI/F/vBBLDgqgy2VlUUEVaZPDvsjUt\ner0gkZyRvo+1H/xkfQn3juzM9zsq8ImQn9X22guCwEsTc8h/7Wfum7ODr6cMOCOOMvurLaRGBPPU\n+Cwmf7QZr09sFXk+ikh1JMXmYvRKPff2vjfwukahYVreNMBfEOUozos5r00fZxqiKHJgUzUZvaPI\nvznbXxzjm8OY6mzoI1sSFF0OD/Ne347b4SW5ezj9L+nE3Je3Ybe2lc34vD72/VJF5z4xgd9Feziy\nrZbNC4sp3FHHuDt6olBLWTZrLx6X179tf8w9Yijz7wKfjuuNXCml+9AEug89Wi57UKv3w/X+HSpH\n82fZbdhNZFMiujgFEqmErPAspvSYwsd7PubeXvdyDqeHxvlHcNfYCL8hC6lGjnVDFU0bq5HHBKPp\n3/5O4rGw796NJDgKWXTL3C7VaAi/8UYM//kPodddR/Sjj/ytJDV79z2U2GQ9ePxqR6eBYE1nW7eu\nL5adqM2aNWuC5s6dG1ZQULDX7XbTs2fPbrm5ubaj71dXV0sXLVoUWlhYuFsikWAwGH57WecO4i9N\nnqXNXsOWhpaInqnWf13Te59a0Y2QqCDkSikNlU1ow1T0vTgNk8HO9qWlbF9aSvch8ez/pYrgECUe\nlxenzYNMLiW1RwRFuwxUHW5EkAiMviW7VcTCZvI7CsSm6xkxqRt711Wye1U5KTkR7W4Z2dZvQFCr\nUef4NYiCIBBx152UT/kH9R/OomH2bNwJCUT+4x8ICgWJb7+Ft7GRoLw83CUlZC96kgMD7qF0XydQ\npNEr20v/O1qqhSW+8zZVjz2G4e230YwYjjrLn1BR+8ormL79DlVWFsH9+wfaN23YgHnRIsImTSLy\nvmlIFApCr76KxjlfY3jrLYqvuoqUTz+lZvp0vEb/hNy0ZjW6Cy88pev/v45YvZpai5M3lh9icOdI\ntpYYufn8NG4alMrkASl8sbmUN5YfIi0imEJDE3d/tYNDtRYiNAoMVhd7Ks30SPRH3soabGworCd7\naDwbvy+k8nAjcel/jmQun0/kkzXFjArX8+y1PYmMCea22Vv513J/8sw7q46QnxVNncWJye7mg0ln\nnriZFy2i6oknkWi1RN4xFW1+PogiUn378hrR53dCECTtSxceubALn2/y22HO31lJaJCcd34+Qq+k\nkONKdmL0Kp6dkM3dX+5g4tu/cEHXKO4YntFu247iQI2F7Dg9gztH8tT4bjw5bw8ZUW295yPUERSb\ni4kLjjuuHKNzaGdClaFcknEJmWG/f6J0TbEZh9UdsNVM6xnJum8O8+kTG5j4YG+/XahSyuGttbgd\nXi6Y3I3O50UjSARUwXIcVjdul9+9VN68U7dzRblf5mT3kpvfvmsKQNUh/+KnvqKJb17cglorx1Dm\nX6SWHzCSeIwncF1pM3lOPPOWkRqdn3s4bR4AdtfuJqIpm8ReLbK9KT2mcEPWDahkHZcyOYtNNG2u\nIWRsKpJj5IseowN3pRV3rR1ZmBJ1diRCO371/0vw1NuxbatFOzQRdfP3GjpRg8dgw/j1djyG7YSM\nH3vc40WPD8vSMgR5GKrM1n7TEbfegjIjA82woX8r4vxHYuXKlZoxY8Y0arVaH0B+fn6rQgrh4eFe\npVLpu+KKK1LGjRvXeMUVV5jO1tj+0uRZIhWQySU0VLYkYFjqHciVUpRBp/bRBIlAfGYoxbsMBIco\nEQSBYdd2ISQqiK2LSyj42V9A4Npn+yGTS/ng/jXsXF7KhvlH8HlE/wO+yU3FQSObfihi+HVd0Uep\nMZRb6XZ+HMOu6QL4jeP7jE2FduY00eejad06gvLyEBQtq17NkCGoc3Opay7raX78scD7yvQWn+Kw\nG2/CvOhH1KUFkJ5BbJiLfrePav05ZTKiH38cy4qVGL/4AvVzz+EsLMQ093sAmjZsDJBnX1MTdf96\nA1lUFJHT7kXSfE55TAyRd92JPDGRqkceoXr6dEzz5hN+2200fv015sVLzpHnX2Fkt2iW7avh1Z8O\n8upPfk/to7aKEonANX2Tuaavf5v27i+3M29HJSnhQbx7fR75r61m0qxNvHd9Hl9uKuP7HRV4fSL3\nDO2ESiahaEfdn4Y8by01klntIccF3z6/mV6jknlhQnesTg95yaEYbW5+2FWJ0ebm4Qu70C1Od9I+\nRVHE8NZbgL9Kl2bIkONOXu6aGqoefwJZbCySoCCqHn+CqsefQB4XR9qihUhUx5ASlwvR7ebwqFF4\nKqtAKkV/8cXETW/tmHnbkE5c5TjCijoH9xT6eHrBXlIjgnlsbFdOhIt6xLFkTzWLCqrZUdbINX2T\nCQ0+PdeUYkMTJfU2runrJ4nX90+hV1IoXWLakrxItd/lIzb4+H65WoWWVVesOqNaZ5vZRV2phaSs\nsMD3I4oiW38sZuP8IgCimxOfdRFqBl/ZmdVfHuTbl7a26iehSyid+0QH+lBp5DisLha+uYuaYjOD\nr8jAWG1j/3q/xZjZYG8zFrfTS8Gqclx2D8UF9aTkRNB1QCw/vlOA0+7hwtu68/OXB1j16X5G3piF\nqdZGdJqeQ1tqCY0J+l3cbWQKCV6JG7fNv1grLKog29eb2LTWCddKQYnP6UVygmg6gLPUTON3h3E3\n+xq7a5qIvLk7EpUM88oyzEuL/RUVmiENL0EaLEeQSdAMjEfVNQxEkaZN1TgOGtGNSEJxCru1f0Z4\nmyvyKju1LGoFQUDdVYWrWEfDR0vQjx1zXEmOZVUZnkY/6VYmt3ZkEhQKdKPyf6eR/7lxsgjxHwW5\nXM6OHTv2zZ8/X/fNN9+Evv3221EbNmw4eDbO/ZcmzwCpPSPZs7aShC5hpPeOwtLgQBuuOq2V4aD/\ny/BrSPv5t2IVKhl9L0ojsWsYc1/ZhkojR9bsR6uPVFNTZEYTquTSB3ojiiKzH1vP2m8OU19uZfVX\nB0nNicBp8wRs4Y7iWM9Or8mE48AB/78Fu3GVlBBx+z9atRcEgbiZL1E66QbCbriBmoQE2oM6O4uY\np54kRB+HWBjM4Otz2n1ISLVa1Dk5OPb4/bHr3vg3EpUKWVwsTRvWI4p3Y/npJ2qmz8BTXU3s88/5\nrXd+Bf24sdQ8/zymb75FmZFB5NTbEZ1OGmbPxlVaiiLp+NGgvxuy4/UsvOt8qk0Olu2roaLRTp+U\n9gvvvHp5Ty7MjqFHYgixejUXdPUT7/97Zz0quYRJ/VOoMtl5c00hT0eFU1/ZflGAs43KRjsfryui\ns1tKaFwwEfEatiwspmiHgdmP9gnstDw5vhv7qsxkx7WO2vpsNkpvvRVd/ihUWd0wL1yE88gRbFu2\ngLelZlL4zTcRed997f7GLYsX47PZSPj3v1GkpmBZtoz6997HsWsXFfffT/jkyQT17k3Thg1E33U3\nNVdfjaeyCt1F43GXlGJZtgzx+eda9e0xGqm4+24ygf/MWU73eH27cgkAw7vvocxIRztsGIIgMOPS\nHARBYOGuKnaUNZ5yGfqj+HZbORIBLurRkk9wvKh3RJB/0o8JPrGc50wS58rDjSx5bzc2k4vuQ/xj\nrCmxYKxqwu1s+e7C4lquW/ehCRTtrKNsn5G+F6Whi1AhlUtIzWntUqLWyLE0OKiv8N/nKz7Zj0Qq\nEJ2qw+O2UlfWNuH+wMZq1s89giDxB1gyzosirWcko2/LJiQqiPB4DZowJV+/sIXvZm5FPIZkHuvO\ndCYhCAJuhROj0YzJacJa6j9pbHrL9+hzeal9YzsIEH1v71bPb9HrQ2h29RFFEePXB/HZPaiywlGl\n6WlcVIThg92ocyIxLylG3T0C7eAEZJFqnIcbsf5SibfJjWh2UT97L7Jme1FPnR1BLqH2QAPawYkE\n50VjnHcYb6MTQSFF9PiQKKXo8lNQ/Q6LdFeZBVmkGklz7sPRKoCnA1+zK86xEXj/31bcFVtRZIzC\ntq0SqVaNrcCA/sJUpM06eK/VhXlVGaLLiqDQII/9/SsKn8OJMXz4cOuNN96Y8txzz1W53W7hp59+\nCpk0aVJA/2gymSRWq1VyxRVXmC644AJrp06dup+tsZ0SeRYEIUgURdvJW549DL+uC5Z6Bz/N2hN4\nyJ5uCWt9pJop/x6KRNb6hxuXERLIqD6KkKggaorMxGWEBM6ni1RTX+7fDizb20DZ3gbiM0Po3Of4\n5UbLbpuCvVnnDKDOzUU3blybdoqEBDot+8k/qbTjw3oUoVf5a9OcrEaTqls36mfNwrZ9O5bFi4m4\n/R8ICiV1r7/OkfxRuMvKUGZmEv/qq8etkiTI5QQPHIjlp5+Inf48gkJB2OTJGD/7jPr33if22WdO\nMor24SotRRYRgSTojEqszgpEUaT2hReQ6HRETp3a5v0YvYpr+504EUgqEVpVynx/Uh6z1hUxY9F+\nPp7ch75p4ZQ12Fi6t4ZaqQ9Xc6XIPxK1Zgf5r61G3+Sjq6gk78JkOp8XQ3JWGMs+2sfHD69DrVVg\nNtjJHZlE7qjkNrIl89Kl2Ldsxb5lK8hkSBQKFBnpKDt1QhYVRdzMl6h79VXq3/8A0esj6sEH2hBo\ny8pVKNI7oUzzJ/HpRo5EN3Ikta+9jnH2bKzLlhNy1ZXNJXPB+PnnAERNm4Z11Sqqn/4nts2bsW/b\nTvittyBIJJi+mxvo/8I0/XH1/F5rE3Wv+pNqOy1bhiIhHr1azszLcvixoIptpcbTIs+7K0y8u7qQ\n4V2iO+RMopI2P4+UJ4/q/1Y0VDaxbWkJBzfVoAtXkdgtLLBLF5Omp8uAWCLiNSR2C8Nhdbf5zode\n24XSPQ1knR933ICHSiOnuKAegP6XdCItNxJduAqJVMLarw+xe3UFXq8P6TF2kcUFBnQRKq59tn+r\nfjvltlz/qGQdkYla6kotdMqNJKFrGGaDP1nw90JMqh7pgXTu+P5eIk1Z6LUiroVFmGKCcJVacBab\n4GiS5KNr0Y5IQjswDle5FcOHuxEUEmRRQSiTdHjq7IRckh4o2iHVK6n/Yj+uMgvSUCWhl2Ugaa6e\nqc6OQJ3tX1SJXhH77josayrAKxJ+fTeUKToaFxVhWVWGZVUZgkKCIlnnJ7EyCY499VjXVpxx8uws\nMVP39k4kwXJCxqUh0Sqo/2QPwefFoB+TGlgsdBQ+u18SI/mVA5G33oBj87tIQ5+n4Ss3QnMlS0Fi\nJ/RSv9Wt9ZcK8IjYVr9E9FP3I/0f9Nb/q2HQoEG2Sy65pCE7OzsrPDzcnZOT0ypS1NjYKB03bly6\n0+kUAJ599tmzFiHvEHkWBGEA8D6gAZIEQegB3CaK4u2/5+A6AplCytipOXw3cytL3t+N2+lt5Yl8\nqjheJaecYa2jvVKFv134MVHl5OxwClb6Ez3VOgX9Lkqj68DY404K5sVLsO/YQfgtt6AbcyFSvR5Z\nVFQrB4tjcSZ1VqqsLPB4KLnqaqR6PWGTJyN6PNS9/jrusjKiHnyQsOuva5M8+GtEP/gAoVddibq7\nf8Enj45Cf9lEGr/5FmVmJtr8kcijOk4YfE4nR/JHoUhLI23hDwC4iorwNppwlZYQMmHC6X/o3xmW\nVason+LfNRBUKsKuvfa4OttTxeSBqVyelxgoJZ0YFsTQzpHsO2Shh8lvz3i0AM4fgX8u2Eu8RWSc\nTYlMJSWleaLu3CeGrYtLMFbbCI0JRq2Rs3lhMft+qWLig70Rt6+nduZMvBYLPqsVeVISQeflYdu4\niZQvPkcW2brQSMwzzyAolDTMmoVErSbizjsCvwtPfT22LVsIn3xDm/FF3XsPEbfdSt2bb9LwwYf+\n9jExyKqrAb8USdXVL8MovX4SAOoeOQT370/Txg2BfmxbNqMdOrTda+DYtTPwf+MXnxP9wAMABClk\ndInRsaOssd3jToYFuyrxiSIvTuxYUMUj+gmETPj9Nxa3/FjMoc01ZJwXzZCrMyndU0/ZXn+S9MX3\n9GzlJNReUEMXriZ78IndeVTH3NdpPSMJiWpZVCd0CWXn8jJ2LS+n58hEf3TX5aV8v5GsQccn5EeR\n2C2MulILnfvGkNbz1IvaeJvcuMotqDqHduj5PP7aPsx+eh1x23oT05TEAL0Cx956HHvrkUUHoekX\nhyozlIY5B/DZPViWl2JdW4HYHL0XfSKCIGBdXwkySYAQg58gxz3RD1+TG4lWgaQdpykAQSoQ1COK\noB6tn8thl3VG1TkU69oKQiako4hrmdsa5x/Buqkan8t73H5PB+alxYExNXx1IPC6dV0l1nWVKFL1\nhF/dBelJEvOPwtesJ5f8Srbpqa0FRNTdg3EeduLcPx9ZTB7mpRA8IAZ5eASW1SV4qvcQOe0W9OPG\nnJHPdw6/HS+++GL1iy++WH289wsKCvYd773fEx19ur4GjALmA4iiuFMQhMG/26hOEapgOedf3pn5\nb/gjuNrw3983NjTa/wCPSGx5wHTKjQyQ5xtfasm0FkWRqkceRaLTEjl1KlK9noZPZlMzfTrSkBDC\nb70Fqfbsas3UvXKR6HTg9RL/r9cD50/84H0kajVBvXp1qB95fHwba7qIKVOwb99BzXPPUfP88wTl\n5RH30ovIY08e0bFt3gKAq7CQAzk9kOh0eOvrA+/r8vP/lBFpb2Mj1U8+FfhbdDg4NGQoUp0ObX4+\nsogINMOGoco8tS3hmhdexGMwEP/yTIIUUkSfL5DYNjA9glkFBnqgpPJQYyCq9v2s3ezfYyCsZzj5\nPWJbbZWfDN8tOszhlRWMmZhBdr+TZ6YDLNtbw+qd1Uyx+X93512YErCRFCQCF9+bi+gDTahf+lO0\ny8Cit3ZRfsCI5MknkWq1aEeMAEA3Kp/gAQMQRbFdMiIIAtGPP4bXbMbw1lvYd2wn6UM/GTZ9/z14\nPOiPs8CSBAUR/cADBOXlUfPc8xgvvphODkdggaPs3BkkEmhOIGz8+muC+vXDuW8/2vx8LEuX4jxw\nsF3yLHq9WJavAImEoLw8zPMXEHXvvYHFZ1acjhX7a4/7uU6EOouTSI2ScE1b6S5cUTQAACAASURB\nVFR7GJY4jFm7Z3F+wvmndJ5Thc/ro3RPPV36xTDihm4Arezk2rMJPR0c9fOXKSToo1pXMk3ODiex\nayi/fHeYglXlZPbzV4/zun2kdD9+FdGj6DYwFlujk8Ru7UuoTgSf00v1i5sRXV7CrulK0EnO57W4\nULl8DJqQydqvJcTJBRReCJ+chTJR20pqEH1PbyQKKe46G+alJTj2N6Adnoj2/AQkahleqwufwxuQ\nHByFRCULyB9OB0E5kQTltF1EqLqEYf2lEmeRCXXmqV+ro/A5PPia3MjC1fgcHpxFJrTDEtGNTMZ5\npBHbtlr/4uFLP5F2FZuo+fd2wq/pijL55DspPrsHJCD8Si/uqasDuZyIm0f6i5y4L6D+459xHFZi\neH8T2sHdwSNFkJYQetXt5xICz+Gk6PCvTBTFsl/dUN7jtf0jkNAllIhEDV6PeFasu3KGJxKVrG1V\nXS82PYTwGBUx6z/GviMMdc+eflL13POYf/BHUY2fzEYeF4e7shLN8OHEPvPPs06cAeRRUXTesB68\nXgR5ywNYM7Dj3sXH7Ts6mrTv5+I8fBjzkiXUv/c+da//i7gXX2jT1l1TQ+NXX2HfVYC7vByv1Qoy\nGdEPPYSnphqP0YinppamtWsBsG3diub8M0cKbFu2INHqsG3ZjH3nTiKnTkWRfGr+ql5rE6W33obX\naCT+9deRRYTjKinBefgI9u3bMX76KQB1r79Oxrq1yMKPXxXQvHQpxs8+J/Gdt3EeOkTDRx8BoBs7\nhtoXXsRTV4dm6BDUeXn0l2t5ViZBUEvZv76aTrlRmExOKjbWogXca+tYuLYOfZSahOGtz/PxkkNs\n3lbNS3f0ZeuiYrKHxFPv8lC0oIRgUWDVZwfI6nv8XZOjsLu8PDlvNyOlagSJyLg7erRyLwAI1rcm\nfUcJlr2hCZXBQNj11xNx6y2t2pzovIIgEPv8c4huN5bFi3GVl+Mur8Dw1tsEnXceyk6djnssgHbY\nMLTDhlG+ahXRxxBhiVpNyOX/R+OXXyHR6zEv+hFRFPHU1aHulYtt40Y8NS0BEMvy5dR/OAt1zx6Y\nF/yAp7aW4PPPJ/SqKym/fSoNn35K+A03ANAtTsfXW8upszjblG8/GQxWFxHajhFngNyoXAomFZzS\nOU4H1YUmnDYPyceQxmC9kuwh8W3ugd8ChcpPhGLS9G3uC0EQuHBKDke213Jocw1bFhUDftu4jvhC\n6yODAsT/VOGusiI2O4BYVpWhTNUh1SgQRRHzTyUo00KQxwZj21GLTK/E+N0hfDYP2f8cwKHNNSQZ\nmpDoFKgyQttofI+SYkWchvBJ3XCVWlDEaxCaHaakGgXSsyjJVaToQCrgLPxt5Llx/hFs22pRJGmR\nx2vAB8pOIX5XlYxQVM3z6VHyHDW1J/Wf76fu7Z0E948lZFwnBKmA46CRps3VhF6S3mrR4bN7kKhk\nbe4TT20dssgWLb0glxN+0wjK7nwLyMG0qAxvYwmRd197jjifQ4fQUfJc1izdEAVBkAN3A39IqPx4\nECQClz2Uh0QqnJWbXyIR2pSllkgExvQzU/HlampebiL5k0+oeuppLEuWIIuLJW76DOw7d+LYswf9\nhIsJv+22dhPxzhYEicQfafudoExPJzI9HZ/ZQsPs2UQ9+EAb4lj//gcYP/0UZefOSLRaXCUlhE2a\nRNh117Zq57PbOdinL+ZFPxI8aNAZ+Y6bNmyg9IbJrV4T7Q4S/v1Gh/vwOZ2UT52KY88eEt74VyCC\nGpSXB4Dz8GEKx40PtLcsW07oFZcft7/al2biLi+n/r33sK5bhzQsDK/JRMV99yPabOgvuQTrzz9j\nXvQjAL0nzWS/yQu7DdjMLr77wW8Jl3ZZKgsP1+Lca6JnrR19hcB7967m6qf7sq/WQvm8Err6JCx4\nbzeGg43s31ANsSpUosARHXQyi1gaHDRUNmGqtdNjRGK7411zqI56o4MMezCdekeR1O3k5cIVKn8F\nS2uVERWgSGw/AfZEkCgURN51J5bFi6m8734ce/eiSEkm7uWZp9zXsYh54gl0o0cTlJeH4a23W1w+\nunRFFhODu7oGaNa2z3wZV3Ex9u3b0QwejP7xx/xRabkczZAh1P3rDbQjRqBITKRbrD9qtqfK3Io8\nlxttNDm9ZLbjmnEUBouT2D9hFcYDm2qQKSQkZbUmU0OuOrPWd0eldJ1y25dVyJVSuvSLJbNvDAv+\nvZOyvQ2k5EQcV4J3JuBpdGLbVguAfkwqpsXFVL+8FX1+MlK9AsuKMiwrykAmAY+v1bGuQ0ZGXZuJ\n6c0dBPeOPmlynCAIHYq6tgdRFHEVFiINC0MWGnryA44DiUKKIlGLs7DFCex0dlGchSZk0UH4HB6a\n1leBTNLuZ4u+rzei24ciTkP0XbmYl5Zg/aUSabAc0StiWVUGIqhzIgjq3nJf+GzuNsmCAJ662jYS\nMEEQiL5vHDWvbkISHINUU0NQzrky9efQMXSUPE8B/gXEAxXAUqBtNtQfjKO+z38kRKff19m+ZSuF\nY8fhKioi7MYbifjHFKRa7d+ynKfuwtE0fPwxdf96A82QwQQPHBiwDHMePIg6J4eUr74EwOdwtLYT\na4ZErUZ/6aU0fvUVXrOZuOnPt6snlh86hFUqQ3P+oDbv/RqmBQsAiH7icTQDB2KaPx/DW2/jOHAA\nVWbHCIDx00+xbdxI3EsvBojzsVCmpxP9xOME9e5Nxd33YFown5DL/w9BEKh48EFEhxP7jh0oMzJQ\n98pt1uaB4e13QBSJnT4dy7JlWFesIHjgQOJmTEf0eLCuXk357VOZJi/jDm8ymT4VBzZWY6iwokRk\n1LBkhg9N4v4X10GZh9I1IuBhy4ZKFi8pIs7nn/QMBxsJztAhNrqwFVoxyEW69Y/DuaSKn785RNkO\nA6IIabmRCILfBze1RyR7K81M/XwbRYYmBnjk+Nw+ckd2zF1FEARUGjk2gxkA+XHcY04GRWoq8rg4\n7Dt3ou7Rg8T/voM05LclNAlSKcH9+gEQededKDMzMS9ahLpHDrKYaNzVfns02+bNuIqLiX78cXRj\nx7QhJjFPP0XhuPFUP/UUiR98QNc4HVKJwGs/HWTV/lpsLi8r9tfi9vrQKGWse3j4cYlIndVJ95OU\ngD9bMNXZKNtnpLrQxJFttaTlRrYpeXymkdk3BmWQnNQeJ5ZFCILAqFuyaay2tZLTnUmIzdZupoWF\niC4/KdacH4+qSxiN84/QOP9IoK00RIkqMxRN/zjcNTacRSZs22qo/3Sfn1SLENT7+MnkvwXOw4ep\n/+gjmlavwVNbi7pXL1I+/+w39alM02NZVYZpcRGOA0Y8Bju6USloBsShbOSkemiv2Ym30Yl+XBqa\ngXG4SszgA6GdRY78mMI5EpWMkIs64TE5MS8rBfzXzba9FndlExxLnu0ehF8lC4peL84jhah79mz7\nmVKTiXlEQcPsrwiffN0pX5Nz+PuiQ089URQNwDW/81j+J+AxtOhzJcHBxM18Cd3YscctwPB3gKqb\nf1u0cc4cGufMQVCrCZk4kejHHsV5+DCaYUMDbdsjzkcR8/RTKNNSqXn5FQovnoB2xAj0Eyag7p4N\ngHXNWsJeeZUyoMue3a0SLx0HDmBZshR1bi5BvXLxOZ1YlixFd9F4wq7x39ph119PwyezqXv1NRL+\n/UYrr+1fo/Hb73AVF2NeugR1Xm/0F1103LZH+w+95mpqps/AvGABwQMGYJ7vJ+/SyAg8BgOG/7wJ\nokj0Y49R8/zzqHJy0E+4GGmI3k+eB/kXBIJMhnb4cBSdOpFwYDvpeT2p3W1jz7pKnC4XPrmARCpB\nCfToGoGzrEVqsHFeIQk+geQLEij4uQKZR+SNmhpEAQYr5OjTdYzOimDzkkpKtxuIStZSW2Lh0JYa\nDm2uwVBm5cIp3fmiuIakMic9vQriRSkJXUJPqSqbWivH0diIW6Zm8w5I9NWR8iuLspNBEAQS3/0v\nrtIyggf0P+G9c7rQjcoPeLvKY2JxFOwGwPj5F0j0ekImXopErW5znDw2lqgH7qf66X9i+Pe/Ce7f\nn1cv78FLiw/w/Y5KbC4Pbq/fVcHs8FBoaKJTZAvhqzU72F9tYVB6BA1NLiI6mDD1e8LS4ODLZzbh\ncftQa+UkdQun7/i03/28Eqmkw8l8SrWM6NTfyWXEB/Wz9+HYW48iVY+ryAQS/06nPCqIiJuycRWZ\ncJVZUKToW0VU5THBBPWIJCg3CmehCZ/FhVSvRB7R9t7p8HAcDurfex/NsGGos7MCr4suFyWTJyM2\n2dAMHQJSGeYFCzDNm4duvH8X7Nj5yF1TiywyArxenIWFKNPT201a1wyIw77LgGVVOYokLYoUHaYf\nCrGsLCWxSUrlpvUoErUo0/QICiny6CDU3cKxbqwCn4ikWbuuSNL6o+kpp7YgDBnfCYtOgSozDHWX\nMNwVFpxHGvE5PAGdt8/uaRN5tq5Zg6emBt2Fo9vtVxEXS8xD95zSWM7hHDrqtvExcLcoio3Nf4cC\nr4iieOPvObi/Ijz19SCVkvbDAhQpKef0U/jN5QW1GtFuJ/61V7EsW47x00+Rx8bira9vVejlhP0I\nAmGTJqHOzaVi2n0YP/sM09y5pH4/F0VSEsbm6DWAY//+QPVEURSpevJJHDt3+d+UyRBkMkSPh4hb\nWrS20pAQIm6/ndqXXmJ/Tg9ip08n5NJL2h1L1WOPBf4feeddHRp/6DXXYF70I9XPTyf85pv854yI\nIH7mywT364vXbMZdUYGqa1dkEeGosrIQJBI0Q4cSO316G4N+ZVoqziOFPPFUNx4/sJ6oaht6oEnf\nMvF1TgulAD95dgkiwT4BEoMYO7EzshgVvxyu57Xe/kTOneWNjMmOJT1Kw9cyH0qllK8FC6PUAhvm\nHkEUQRYsY+Wn+9kfD0OdLZNUr9GnphNXaeTY6zwU9LidxnV1FKyrIzJJy7Bru5wSCVemp3f4/vmt\nkMdE421o8EuxFi8m7KYb2yXORxFy+eWYf1jYLP94m3GbN3Hxwy3i88zHf8TZvKX/35+PkN8thtgQ\nFV1idDz+/W6W7q3h1sFpeH0iER1MFvw9UbSzDo/bx8QHexOdqjtrzzbR4zmp68+J4Dx0iIpp95Hw\n5n9+k/d82BEBx5F69Bemojk/HvtuA9Jj9PyCIKBMC0GZdvzdD2Wy7rQlGMfCXV1N+R134ti9G8Ob\nbxJy1ZUgioh2O6Z58wFIeOdttEOH4jWZaFq/nsqHHqbyoYeRhoWhGzPGTyZFkZJrr0MeH4/HaES0\n2dCNHUvMk0+02tnz1NUhDQ0l6o6eiE4vUr0S0ePD8NEenIcbscT4iOuShLPQhGVli1uYbmQy5p9K\nQCqgSg9BUMlauXicCmQhSkIvbvmty2OCse2oo/atHUTdkYtEIcVn9yALb/lNOg4cpOoJf9Gk9nYG\nz+EcThcdfSLlHCXOAKIoGgVBaN/8928Ob309sugolKmpf/RQ/lRI/nQ2nppatMOHoR01CndVFbUz\n/fpUZfqplS1W5+TQaekS3GVlHBkzFuMXXxLUtw9Nq9fg6N0b1datWFesRNWtG4IgYNu8GcfOXUQ9\n8ADKLpnYNm3GVVKCLn8kyozW5w6/cTKKpESqnnyKutdeQzd6VBt3D09dwKMd3ZgL0Y3tmK2RIJUS\nO306hWPHUvfKq8iiokhftTIQBZLqdEh1/on12AqNgkTSLomXx8VhXbuO7HgdGXnReFY3IENAfkyU\nMjs9jKOpY0nD4ijbZmDKPb0RBIHRg5IZPaiF9I7p3uKGYuil41BtE1E6JV/Xm5iq11EZLmNubQM3\nWFX0PygCfvLUfWhCuwlits2bMbz9Dq7ycmKefBLNoJZkVFWwgjqHDJc2jbwxKegi1Kz79hAbFxQy\nbmqPDl3P3wLRJ2JvEE/e8BjIov2JyI1z5vjL1d955wnbCxIJsS/MoGzKFFyHj9C0bh260S3Rr39d\n2ZMXftyPSi5lzpZy5mzxO/UMy4xkzSEDYcEK3l1dCEDkKSQMnkk47R62LS7BYXWxd10VIdFBxKSd\nPQmJdfVqKu6dRtQD9xN65ZUnbCuKIl6jEVlYy73orqyk/O57cBUWYlm+ol0bw47A5/SiLxFQZ4ej\nHeKXGbXnSnE2YNu+nfI77/LnQEy8FNO339H4xZdIw8JAEBDkcmRxsYHEaqleT6cfF1E08TLcpaWo\numTSOGdOIJEZQKLREDJkCD6bDdP332PbvJm4F2bgc7kQXS4q7robzYgRRN59F6rOzY5BUoGIm7Jp\n+mU3hlf+iTfqUsKvvwifQ4plRSm2bbX+xMnOoTgPGnEcMBLUKyqQ9Phb4LU2gVCCLCYCT7WN6pe3\ngCjis7jx6hwUXf4UQbm5NM6di0SlIun991olxp/DXxPTpk2L02g03meeeabmVI4LCgrKtdls28/k\nWDpKniWCIISKomgEEAQh7BSO/VvBU1+PLPzkFkl/N6izsqA5EixIJMQ+9xzFl12Gundvgvqcd8r9\nCRIJiuRkNIMG0TBrFg2zZiENC8M6bixhMhmGN9/E8NZb/oi3zYZUryf0mquRqFQndRTRXnAB0rAw\nSq6+hoZPZqMZOoTSG29CN3o0os+L84C/+mfy55+hzs09pQicMi2V6EcepvaVV4mdMf03yXnkcXGI\ndjvexkbuH9uV19atIckrDVjCAYRplNgEkXq5j6mXd4Xj5yq2wkc3+rX5jTYXec8tY1uWmoUF1fRI\n1rOlwkFfo3/ck2YMQBPaWi7hcziouO9+rMuXI42IQJBIMPznP63Is1LuwyXxL0riMkJI7BpG0c46\nTHVtSy3XlpgxVttI7xV1xpLAdq+uoHCpSGFaHZpQJcF6JcEhJyaowYMGor1wNGHXXddhK0dFQgJp\n8+ZxaMBArKt+bkWeR2fHMjo7Fp9PxGB1Umly8PnGkgCJ/uzmvrzz8xHm7agkVn/62/unC5/Xx5L3\ndgd8mwHyLjy1HYYT9u90YvlpGbr8ke1KpEwLfqDykUfA68Xwzgco0nMxzVuLx9CA6GlEok3BW7ub\n2GfuQZGa4rcf/Oorkj/+CIlGQ+X9D+A8dCjQn/Nwy//dlZV4LdbjWkeKXh/2XQYEtQxZqBJ7gQGp\nR0Az6MSe1GcS3sZGGr+bS+O33yILDSX6ySdoWrOWutdfRxYbS+KsD1GkpaEZPITgAf0Drk2ehgY8\n9fWtpBdSrZaUzz/Dvnu3PxptNtO0di2Gt99BN358wO3GVV6O6PViXrCA0htvajUe6/LlWJcvJ+rB\nB7EsW4Zj3z50+fk0bd6EorqGmmeepe7lV9BPmEDkvffhLDajTNUTOjED87ISmjZVE9zn9J2wjtp0\n+pqaKLvtNuxbtxL/7zeQ5/fCtr0WQSlFEiyl/o0HcRXtxbFrF/LERJJmfYjiNPMqzjRcJSV/9BDO\n4QyhowT4FWC9IAhf4w83XQY8/7uN6i8MT339KRUF+btCmZZKxi/rEJTK37T9G3HHVKTh4WgvGIFm\n0CAqf/mFxHf/i2nuXDy1dXjqamn8+hvCb73llDSxQb16oRk+nPr338dVVIi3oQHj558jDQlBFheL\nfuKlqHv0OK2xh11/PSGXX/6bNbqyOL8Ps7uikpjsLBJTdHCkidBf6WOver4/O7ZsaK+LkyIkSMHV\nfZP4ZL3/oX/3BRmclxLGsp9LOS8trA1xBqh77XWsK1YQOW0aYdddS/U/n6Fp48bA+16TCXHPNsC/\nhR6V7J/0tWEqyg/4k9EiE7VI5RJ8Xh+L3tpFk8lFTZH5jJVOPrTFH7j45dvDmA12BEEgPS+KvDEp\nhMa09cUWRRF5VBQJr712wn4PbKhCESQnNadlAS1Ipaiys3EWFrZ7jEQiEKVTEaVTERei4pcj9Uwe\nmErXWB2vXt6T6/sn0yvpzJdFPhFEUWTNV4co29tAWs9IKg83ctlDeegjT5/Eiy4X5dOm4anxJ8U6\nCvx7Ip6HHwpY+vlsNnwOB+YfFlIzfTpBffoQftON1L67AeM3tUBnJMcEviUhYX4v+T59MH7mT4gr\nucbv1CPR6Yh66CFUXfvQ8M1B7Du/8FsPVldTfOVVCHI56cuXtRmnZU05piXFgUp/R2GNFok/A5KL\njsBjNFJ44Ri8jY2oc3Nx7NtH0UUXAxA8aBDxL88MJMceK+cSRZEjI/PxNTXRZd/eVs8nWUREwKNc\nqtP5pRtjWnbNTPPmUfXkU4Gk91ZQKtGNGI550Y/UvvQS8vh4gvLysP78M7LYWGqvvoZefc7D+Nnn\nGD//HHl8PDH3Tw44iejzU9Dnp5z+9aiv50j+KGRRUfiamvAYDAgqFdYVK4mbMRJ1t3BEl4u6N97A\nVbSXpI8/RhYZgTw6Gklwx33uf09Y16yl+rln/+hh/OXw0EMPxXz11VcR4eHh7ri4OFePHj1sWVlZ\nXffs2bNv/fr16gEDBnQ7ePBgQUZGhisxMTF77969eysqKmRXXnllms1mk4wePTqgmvjhhx+0Tz/9\ndJxGo/EWFxerBgwYYJ49e3ap9DiF6U6EjiYMfiIIwhbgqGDvUlEU957y2f4G8BoMqLp1/aOH8ZfA\nmUjwUnfvHqhuGOhXqWy1xRs5bdppuTBE3XsPhRdPwDRvPprhw0n41+tnbOvvTHx2+VHyXFmBOjuL\nK67oypzpWxh8fmtbuYSwIA4rOh6xdVdWIvp8gWjNMxdn83+9E6mzOhiWGYUgCFwyqn0vZdHrxbRo\nIdqRIwPRLFlMNJ7aWmybN9P43VzMixbhCz8POicRmaRB2ZzgowlT4XZ4+falrSjUMrr2j6W+0kqT\nyYUgEdi/oYp+E9I65O7gcXuxGp1IpAIelw9VsByl3EvVYRPbV9VQddiERPAFIt0ZSW6KdtZRebiR\na5/t36rUsyiKfPXcJuIzQzn/8hby7vP6sJndgUi/o8nNso/8Dp6jbskmvXfLIloWG4Pz4MGTjjtK\nq2LNg8MCpEcqEeidfOY8kzsCp1nkg/vW4LR5yM1PYsCl6fi8PiQnKZVs/PIrzAsXEvfKy20CCKIo\n0tBcHj2oTx8EhQKJVovPYsH4+Reos7P9uQz3TsP6888AaEdeQNzLLyNRKrFuUeOpc4LoIebR/njq\n7Jh+2Ii7Ogr7AS9N615DO/4iZKGdadqwG6ROQq+6BHl0V4zzihBk4Yi+CIovvwLRYQ+42niMxlZO\nKfY9BkwLi/xjdpYQfF44ysyeiB44YjlAl7Ok87Zv3Yq3sZGEt95EO3w4ta++Rv277xJ53zTCb74Z\nQRAwfvEFxq+/JuLmmwMk2Lp8eaD0vLuiokMRV099PYb//hfjJ7MJ6tOHqGn3NuukNyDRalD37Enl\nAw/iOHiQxPffR3TY0Qwd2kqHXrpqFeqcHNQ5Obirq6ifNYvQ6649YdL1qaBp3Tp8TU24ivzfTdzM\nl7D+vBrzkiUIKiXukhJs23cg2u3oxo4luG+fM3LeMwXR7ab89tsR3e4/eiinhXv2lSbub3Kc0epk\nXYJVtte7Jp2wnPaaNWuC5s6dG1ZQULDX7XbTs2fPbrm5uTan0ylpaGiQrFy5UpOVlWVbtmyZRhRF\na3h4uEer1fpuv/32pJtvvrnujjvuqJ8xY0YrfVVBQUHw9u3bd3fu3Nk1ePDgjE8++SR08uTJxlMd\n/wlnIUEQdKIomptlGtXA58e8FyaKYsPxj/77QfT5/A/jc7KNPxVO199UmZFB9COPYFm2jPAbJ//p\nNHMt5LkSgMgkHVPfGX6iQ06Kxm++oerxJ5CGhNBp2TKkGn/UpnuCHji51tW+fTveOgO60aNaxhkT\nA14vJdddDxIJIZddRvxll5PmiyKhS8t3c6zcJEinYPeaCvSRaroPSyC9VxRzX9nGNy9s4dL7e6PS\nnPi7WPzubkoKWpxvpKIbpa0eW3AMCpx0U5YQ+dNbFPf/B5LyQySs+hFVVA92dbuVPZ+vJee6lgKq\n5fuM1Fc0UV/RxKD/y0AQBDxuLz/8ZxcVB4xEp+qI7xxytDAhAAWryluRZ3lMLB6DAdHlOimh+KOT\njOv3izhtHvpNSKNXvl+mcTLiXP/Bh4EchqqHHyHpww9avV/1xBOYvvkWZefOJH38kb/KmyjStHYt\n5XfdTcm11/k9zRv8U0rYpOuJevBBBKnUr2W2elF1DSP00gykWgUyvYpG1248hlBUuZPwdb4AlEl4\nzKDs5l/g2LYBFCGPC8Zd2YQ0NBXH1hUgkyGNjMRbV4djzx40g1psLY3fbcXX1IR987sIcgfWH2uQ\nRUcTes01qCrKqdtbQMQdU09LbuUqK8NdVUVwn5MTO/vu3SCVEjxgAACRd0wlqE8fggf0RxAEXCUl\nVE+fAW43lY8/gej1ETxwAKZ58wJ9lN9xJyGXXUZQr1yUmZntOmhYVq2i/M67wO0m9PrriH7ggcBz\nTjNkSKBd/MszKb1tChV33UX4P6bQ8OlnuMvKSP32m0Bgwme3UztzJraNmwAou20KybM+POXrJIoi\nPpMJaUgIoiji2LWLmpn+SHvq3O/w1NSg7tkTVVYWto0bafxqDsrOnQmZOJHgfn3RDD57xY9Fjwf7\njh3Yd+4kqF+/QJL6r+EqLkZ0u4mdMQOOk4R+Dm2xcuVKzZgxYxq1Wq0PID8/vxEgLy/PumzZMs3a\ntWu1Dz74YNXixYv1oijSr18/K8C2bds0/8/eeQdGUa1t/Dfba8qm9wIJvfeOCiIKIipgoSki9nIV\nu9deAFFRwQYiiAiKiopSpUjvgZBAAiSk102yve98fywshC6i1/tdn3+S3Z05M3N258x73vO8z7N8\n+fKjAJMmTTK+8sorwVlkmzZtbC1btnQDjBw5sm7jxo26yx48EwiWhwC7gVPXsITjr/98naL/IvhM\nJvB6kUVe2CjiH/x3wDBm9BmGLX8XSMPCEDSaYPD8R+GpqKDy5VeQaDT4GhooHj8eeVwsqrZtG6mS\nnA/WDb+BTIb2lAeYLOaklm3T1auCdu6na2roDSez8be92A1EGhlIDL6nwgS6JwAAIABJREFUDSs/\nPcD6hXkMmtjqnEGmpc5J0QEjmV1jSGgWjmn9Rgr3G5HFJdBcV0TYms+goRaAJpsDhjjRTzyBoa6O\nI/sq2LNRTUrfakJTAsFv9obSYNv1lXYMcVoK9tZQlldPpLsYT0koewsbEJGgcDWQWPYbBVzPhq/y\n6H5DE5RqGfK4WBBFPNXVfxv+5dngdnhpKArYVne6JvWi9qmbP5/qadPQD74GRWISxjlzGmV0rRs3\nYlryLfqBA4l+/LGTLm+CgK5PHzI2bsS28Tcsq9fgqagI6HWHnKRH+EwuRIcXVbNwpKdQktxH8nFs\n34Wy5U1IQxNw561BFiUj6oG7EaRyfHYvypQQ7NvWYt+Zj9QQeFzJIiLwWf1IQpOpm/8tPmsYrgIb\n6tbx+CwKvBWbiX36XkKGDsX6228Bjfq33yYEqAX8Licxkyfjt9kofeRR3EVFpMz7HHncyYLbU2FZ\nuw5FaioFx7PDLQ6d31/MvHIVxo8+RpGaGlyhEhQKdL174bfZqP38c+o+m4sgl5Mw413KHp9M+eTJ\nHO9Uwm+7lfqFX+E6dIiqV18FIHTYsDMcXh3791P26L9QNmlC7Av/RtPh3BoA2p49abLsJ4ruuCNQ\n7Bwfh7e8Asu69YQNvwFZcQmFU6fhLihA2aYNruxs7Lt2nfc6IUDlKX/qaZBIiJg4EVWzTCqefQ7T\nd98ROnw4tm3b8FYEtNVDhgxBHhcX7GdlejpN1qxGdDj+sL77pcCRk0PJ3ZPwGU9O0rU9e2CYMAFt\nz55Iq6qxbt6MLCoqSFFStWj+l5/n5cCFMsR/Nfr06WP57bff9KWlpYrbb7+9Yfr06bGAOGTIkKCL\nj0QiOWtF+NlcSi8F5w2eRVEcIgRa7ieKYvElHeF/CCduIul57Jd/Dzx+D7P3z+aatGtIC/3vVO+o\nc9ahV+iRS/541nZ29mxCFCGMbBaoejO5TGjkmsvS9p8Fl8+Fz+9DI7+sK15A4KaXx8f94eDZZ7Eg\nUasx/bQM0e0mfdlPmJb+gHXjRhwHcrCsXkPosGEXxeW3btqEpkMHpLqTclTy2JNFQicC57PhRPAc\ndVwHltPGtPT2UXQdmsa2pQUc3hVJZpezFx/tXhHgZ3e7Ph2Vs46Cb94kqU9vEt+9DwD/s7dg/W0j\nB/LzCJ8ZcBAMHXY9sogIWr68gF3lYSx44wCjH28GbgfH9lUTVbOfmqj2FGXXYIjTUrS/GrnXTpst\nU5FFGHCbrJh1yWgi9OijZHiqNpGzoRcFe6rpeXMGUYbABMJbUfG3Cp79Pj9ejz9IhSncX4vog+Y9\n4y9qf9HrpebDD5FFRaHp1BmJToskNAXL2i2E33RdQL981qco215L9DMv4Cqw4KmqRJGiRxalQZAI\nSHVaQgYPbqQwcyo8ZVYA5HGNJc5ch4+gv/pKYp6YiCARqF+0mNqZM9H3aYq6Yydq3nqZ8FEjse/e\ng6+mAnlCJ2TxHRFFH7pB98FxoyDL+npErxN3sRtBIiNkUHtChwX4xfr+/dH3748zL4+s774jxeGk\nbs5nyKKjsSxfgSMrCwDzL78QMaFxgR0EFGdK77uvcZ95POddxap6LVBOpO3ZA9Hvxzh7DsqmTdF2\n68qxW27Fdfgw+oEDiHr0UZTp6WRu/A3X4cPYtm7FcSAHw9ixqFq1QqLXo2rZitqZMzF9/z2y2FhC\nrh2MbeNG7Lv3YNu0CVl0NMmffnKG+97ZoEhJIXXRInz19SgzMjhyxZVYfl2DIjEBw5Qp+A0GkubM\nRterFwU33oQrNxefy4X0PC66DT/8gPmXXwJ9uGIF+gEDsKxYAYDp++/R9u5N9CMPo0hLQ/R4ODZ6\nNInvvx+cmEmUSviTXHptO3YgDQ07Z1Gp6bvv8RmNJLz7Dup27TD/8gt1n8+jZMJdyOPjiaispMTf\n2F1S8Y8K1+/ClVdeab3zzjtTX3311QqPxyOsXr06bNy4cTUDBgywvvrqqwldu3a1SqVSwsLCvOvW\nrQudMWNGGUDHjh2tn376qeG+++6r+/TTTxsFZNnZ2dpDhw4pMjIy3EuWLDHcddddNWc/+vlxQfKg\nKIqiIAg/A20utO3/OrzGwJLj6RbUl4qv875m1r5ZzM+dz9qRa1HL/vqK+z+CHGMO45eP56bMm3iq\n61N/uK0Ze2YAIJfIGZQ6iMHfDQYRFg9ZTFLI2e2j/5OwuC3c9vNtqGQqFg9ZjES4/EY58vj4Sw6e\n/S4Xjr1ZFN95Z0DiSiJB3b49iuRkoh56kKiHHsR1+DAFQ6/H+uuvhN9663nbs6xdi+vgQaIefbTR\n+7LYi6uw14YpuXJsc1Jan5v21GFgMsf217J6Ti5F2Ua6XJdGWMzJiUlloYmc38poNyAJndrPsbsf\nRJBKiXn66eA2ErWakEFX4z4lOD9xz7Yb3ZvyR+ZTHt+b7TN+obpehqhLIbVoOU5VOAd/FaGmksId\ndYTXHST1i3lounRB9PnwmUxI1Gq8xjqkTz5JzO7N5LUYzZq5HhRKgba6JDyVJw1r/lMQ/SLVxRb0\nBhUbF+dzZHc19866AolE4MjuauQaiE2/cGGc12ik5N578dc34JfLA1lOuRr9dTOwbrZSO+ta/HZQ\nZAxCkdKR6hn7Gu2vbhdFxK3nz8SJHg/1i9cg+qLxmYqBgCGSp6wMb0UFmnZtkccEJnWRD9yPdf16\n6hcuxLxiJY7du3Hs3o0oA0a2RB+uhW4TQZQgj9HhqQhwgyVqB+pWHpwH9+OrdRA24oEzzkPVrBnO\nHj2I6dkTZ04O1VOmgt+Pqn17RJcL0w8/EjZyZFDxAgLFj+XPPItEqw3ykAG8dfXBcw68rsP6228B\niT2JFG91NYY77iDyvnupfOllGhYvRhoaim7AVbiOHiXxw1nor7giuL9Eq0Xdvn0jBz1Famrw/8j7\n7sX0/fcYP/4Y48cfBz5PSyNsxAgiH7i/kbTfhSCPjg5OovWDrqb+iwU4c3Lxh4SQ9uMPwaBWlZmJ\nKzcX5969uAoKEAThrONH/YIvUbZoQdKc2dRMn47p2+/QdOtG6PXX46mtIWL8+ECADJQ+/AiOXbsx\nLf3hkiUHLxaOrCyK75yARKUi5csvUTXLRBRFHLt3BwrF5XLse/ag6d49qKATMWEC4WPGYP7pJ8yr\nVtHQogUtxo3FW1VF+eQnAILX8g8uDr1797YPHz68rnXr1q0iIiI8bdu2tQE0a9bMLYqi0KdPHwtA\njx49rBUVFYqoqCgfwKxZs4pvueWW9HfffTf21IJBgNatW9vuueee5BMFg2PGjGk488gXxsWqbewR\nBKGLKIo7L+Ug/1/hs1rx1tQENZ19xsBS8OUInk0uE7OyAlkxq8dKVnUWPeJ7/OF2/yrU2Gt4aO1D\nOH1OlhcuZ3LnyUglv7+i9QTe2/MeYcowmhua89LWl8irz8PitgAwa98srku/DpPLhMz/91BQ9It+\nnt74NMfMxwBYW7yWASkDLvtx5PHxJ81fToFt+w7kCQkoEs+e6a16400alixBkMmQx8URMmQI3spK\nQm+8sdF2iqZNUaSmYlm95pzB84kqd+PsOahatyb8llGNPpeGhaHp2pWwkRfWyWtxgYynRCrhqnEt\nWfr2HvJ3VFGW38DY13oEObn5O6qQyiR0GZxM2eOP4jqUR9JHHwb54Y0vToFEo0EaeTJYV6WnMmzp\nc3w+cSmHaYJc46RHhpHEZtdh2XaUQ6YUtmy0o/I66DiqPZouAZlFQSoNBiGKxARSv1xATFYW8Z99\nzrFdP5DfZjyHM0bQpLT0zPP4i+B1+9j1yzHydlRirXMF3SMBakssRCXrqSo0oY258FKm6PFQ+vDD\nuA4eAiDpow9RpqdjnLcObwMICh3qLicnLMqmKry1ItJwFeHDm2JaeQznQSOeShuyGE2j4zlycvBW\nO3Ee3EHD4sUomt+J6CvEumoPEoUMBAn23QFKgLbHyTFREATCb7vtuIHREXQvjMOlM1Fp/AFXchaG\n5CqkSyJQJOoIH9kMZ24RxWNvIepf9xF+83jgugv2oUShwHD3RMofDjjSObOykGg0+B0Ojg6+lpCr\nr8aRc4CoBx/CumEDnpISkufNw2dqwFNaRvXUqfiMtY2C5+rjQeOpCBs1kuq3ptOweDEhQ4ZgXrYM\n07ffETrs+kaB88VAkZRE2nffYt+1G0fWXqIfe+y8K0AXC8PYcdTP/wJvRQXWsWMb1ZaoO3bEtHQp\nZY88iq+hAQQBbZ++jcYjX0MDrrw8kEqpnzuX+NdeI2LCBESfj/r5X2BesYLad95FGhaGsnlz7DsD\n4Yd52TJCbxh2ybUsFwPjvHlIQ0MRZDJK7r6b1MWLcB87RvH4O5AnJqLt1QtXXh6R99zTaD+JQkHY\nTTcRdtNNFKxfH+S3y6JjwO/70873/zOmTJlSOWXKlDOyDpWVlcEH35tvvln55ptvBrdp3ry5Oysr\n69CJ1++9914ww6TX633r1q078kfP62IjjW7AaEEQjgE2jnOeRVFs+0dP4L8ZVa+8gumHH0lf9hPK\npk2D1tynPowvFR/v/xiL28Kcq+cwYdUE3tr1Fg93fJi+iX9dMcSlwu6x89Dah7C4Ldzd9m4+2f8J\ne6r30CX29+k576/Zz/Obn6fCVoHD6+Dxzo9zc+bN3LHiDr48+CUKiYIBKQNYVrCMZQXLAJAgYema\npbzT/x1Usstv13yxmJU1iw2lG3iq61PMzJrJtoptf1LwnIDPZMJvswUlmdylpRTfeSfymBhSv11y\nxkPGtmMHdfPmBV/Hv/UWuj69ORsEQUA/cADGuZ/jM5kauY5BILtWfMedOPbtI2zUKGKeevIM1z1B\nEEiZP4/LhbAYDeOn9Obo3mpWfHyAsvwGEpuHs3d1MdnrSklvH4V5zidY160j9oV/n7eAKGPTRjgt\nUJRIJLTrrKX8aC39Hx+EPjZwzV2270I2bTGJvVqSOnFEI2rK2aBu356k995FM3s25iXrOJZyLQ37\nlxEJWI+VU/30ZBLfeK1RlvDPxKo5ORTuqyWldQSJzcI5tPXk86g4pw61XoHD4iE089yBszM3F/uu\n3Vg3bMCxazf6a67BsmIF6tatkYSEIGhbIBXcqNsZ8FaU4crPwrZ1DdZfSkj/aRnyhAQEmQRth2ic\nOUaq3t1D2A1N0HUPTG58ZgvV7+9GGpaGt0aOqtMDCIpo/Nb9GGfPwTj7ZCGiNCoSxWnukiHXXUv1\n1Kk4eknIj/k08OZxpbK88qdpOuZZIhJG4Pe7UbZJQBapx5HVOCMuer2Yli1DkMoIGXzNGe6G1pWr\nENRqoh99BE2XLlS9OQX79u34TCbqFwZq6kvuugsIuIpqunTGU1aGbVtALtJbWxtsy561D9O33yGo\nVMRPnQp+H4JSiehw0LB4MYZx44h+6knUbdtQ88FMDGehhlwMVC1bomrZEsaOuaT9zwZFYgLx06Yh\n0aipOq0YUXtc093X0ABSKfh81MyaSfxrrwUnStbj/YHPh/HT2Wh79kTbowcl992Pde1aJHo9kffd\nh7e+DsvqNeDzIQ0NxXnwIEevHkTkvfdiuGP8eSd6riNHqHrjTRDFM4pYzwfnvv1ounYh8p57KLrt\ndkrvf4CQawO0Ir/djmX1aiQ6HbqLnMj83dQ//sEfx8UGz4MuvMn/Hmw7AjPhghuGo27bNiCjI5We\nEWD8XhSZi/jq0FfcmHEjXeO6opPryK/P5/5f72f/2P04/U5+LfqVdtHtiFT/vZQ9PH4P9665l9y6\nXN7u/zY94nowP2c+q4tWX3TwvKxgGTsrd/LjkR8xqA0MSB6AVq5lVLNRqGQqZg2Yxbjl42hmaMYz\n3Z6hf1J/YrWx1Nhr+GDbB2wq28RTG5/irX5vIZPIcHqd/FL4C30S+hCl+fNdwQ7UHuCT/Z9wQ9Mb\nuK35bSw9spQKW8WfcqwTGVV3WVnQ+avus7kIEgnemhrKJz9B0scfBbf3OxxUPPc88qQkDOPGIcjl\n5wycT0A/cCDGT2djXb8+yAU9Acvq1Tj27TuvlfmfhZRWEciVUvK2V1KUbWTf2hKiU/R0HJSC+YGV\naHv1uiDV5HT3yBPodO8gOp32Xki3zvRb0vl3n2f4mDHELB7HMUGgtNiNf0claz/LQa64nvTZ29D3\nFOl87Z/LhRT9IkXZRtr0T6TvLZl43T4QIbF5ONkbytjxUwFFBwJBnfocCT1PeTmFN90Moog0MpKo\nRx/FeeAAqk43UPd1EaLHj6fMSvjNmWg7xwAZQH9cBcMouPZarL9tCBbfKk9xKTSvKUbTMQb8IjUf\nbUEalgaSeuTxzZHFaJEmCXg1keDpi65PX6ThYbgLjwUdRE+FoFTCewOotX2FXt+K1q1moFLFs2v3\nKCyWbA7lPYXNdojKqh9RKmNJaN8Ox57GxmNlj08O8m7tu3YR++ILweN4qqowr1qF4fbbMYwdC0Dy\n53Oxbd5CzTvv4MzJIf7dd6h65VWkYaG4i4rI794Dv9kcbN95KA9d375UvvIqpqVLA9+P00nN9Omk\nLPgCWVQUdcc1qw1jxyAIAoaxYwm//fazKmbY7YWUl39DbOwN6HSXRwf9YhE6dEjgn/XrG72viI8n\n5NprkaelosrIoOyRRzF/9z3mH34kcdZMPJWV1L4boOElffIx1dOmUfrIoyRMnYJ17VpCh11P5P33\nB+3Uo+6/n5oZ7xEx8S5El4uqadOonjoV69q1qDt3QtWqFbo+fYIFlj6LhdoPZgb60esFAmPf6RP7\ns8FbW4unvJzwMWNQNWtG5AMPUD1lCpIQPbKYGDI2rL9gG//g74khQ4ZYhgwZYrkcbV1Iqk4F3AM0\nBbKBOaIoei/Hgf/b4Xe58NbWorvqKpRNmmBdtw5ffUDt5FJd40RRZM6BOczYMwOtXMv97e8HAgHp\nCdyz5h52VuzEU+KhWXgzFly74IIZVrvHTpG5iBYRf77+9Je5X7Kneg+v9X6Nq5KvAqBXQi/WFK2h\n1lFLfn0+8dp4+iT2YUzLM7Mgdo+dpzcGlnuvSb2G53s8T4iiMf8yUh3JDzf8gE/0oZQqGZx2stBI\ncUxBWUwZb+54k2FLhzG+9XiqbFV8vP9jwpRhrLhpBVp5IBUliiL59flkhmcGH445xhzy6/K5oekN\nl1yFO33XdCLUETzZ5UkEQSBWG0uZteyS2roQ1G0CHFDLmjWoMgO8PMu6deiuuAJtr15UvvACtbM+\nRFNWRsF776Fs0hRPcTHJ8+ZddDZE1bo1sthYyp98CtOPP5H43gwkWi1187+g6vXXkcXEEHrDsAs3\ndJkhU0hp3jOO7HUBKkTbKxLpPTID0eGgrqDgnAVofzUkSiWxbZPQGGvIix1Mzme5qB11ONRR5NYC\nPxbSYVBKI23pyw2H1YPfLxIWEwgeZAopV41vCUBSywj2ririwIYypHIJqrDGReqiKOJraMC2dRuI\nIilfLQwqMxy+4irUXZ/GW+NAGqFC0yEaTYfGhaXK9DTkKclYN/4WDJ4lGjlRk9risVloWFBI1Qe7\n8NV5wKvBV7ud5E8fw24/RkHh21RXBwrKDPf0Jqn9bcH70uu1UHhsJlFRV6PTZuDxNFBY+D4ltq9Q\nKmPJyHgejSYwKUlJmURe3r/xeOooLfsCrTYDqzUXuvTD+8ty6r/5BolCgX3vXiwrVhAxcSKix0Pd\n55+jSEsNmrjUf/UV+HyEj749eH2CIKDr3QtNxw7kde1G+SMBzn+ggFwgZNAgVK1a4amqwvjhh9i2\nbCFiwp00fPMNotuNNDychPffp+Tuuym+806S58/HkbUPWVRU0AgJOGvgLIp+cnInYzbvpaj4YwyG\nPrRuNQO5/K+zUD8XEt6eDgQmHEH4fJROOkl10Pbsga5vXxRpaRy7eQQl99yLoFAQ/cQTjeiPsshI\n4l55Ofg66aOPyO/SFfuuXUFVD0VaGjHPPYtt02ZMP/2Ez2gkbMQIlJmZVL36Ku6SkpPW4ufBiSJQ\ndds2jf7at25De9zy/B/8gwtlnucBHmAjMBhoCTz8Z5/UnwlXYSG2TZtRtWp50Ra7Z4MzNxc8HkJv\nGEbIwIFETLiT/G7dL6ktv+jnoPEgPxX8xJcHAxmHRzs+GsySvnvFu6w8tpLVRavJq8ujh64H3Zp1\nY9quaSwvXM7wjPNn/B7b8BibyjYxf/B8OkSfW47oXOd2MYVuPr+P3VW7+ezAZ/SK78XQ9KHBz/ol\n9uPX4l9ZXbSaJqFNKLYU8/autxmROYKfC35mbs5cnujyBH0T+3Kg9gAAr/d+nSHpQ84ZwMokMmTn\n+Pne3uJ24rRxfLL/E17eGhhwFRIFDa4G3tr1FlclX8XXeV+zrmQdAA91eAi3380XuV9g8wQKe442\nHOXxLo9ffEcdR6GpkF1Vu3i006PoFIFl/XhtPLsqLyzbdClQpKSg7dOHhq8WEXnXXXjKy/FWVKCd\ndDdhI0cELHg/+gi9z4cLcOUeJOyWUb9rGVGQSAIast9+h23zZqqmTCX2xReomRHIHIXfMuoP2Yz/\nEXS6JoXCfTVkdoml+w3pCIKA41AeiGJgmfpvAlWzTJrM+47sNpNI9R2ipX8HO6tbUxMdGIOMpVai\nf4d7nd9uD7hzXqQzlq0h4Bp3ugW56+hR3NnZ9LxpGB2uTsFhcZN9aDsN3y8lZPA1SFQq6ubNo/rN\nKSCRoen7GKY1XhqWbUMWIUeeNhIEJaHXpqFpf241Fn3//tQv/ApnbQlmfw7Guo2ILhfGsnUY4m9G\nY2yBLToLm28zqj4RWHMfo6r6ZwRBTmrq/Xi9ZkpLv8DhKEajSaGmZhVHjk7Fbi/k2LGZtGs3h7y8\nf2O3HyMmegitWr2NIJzsm5jowcRED8ZqO4xMpkciyNm0uQeOdk6UGU2pfP7fwW2lYWEBR1KtFk95\nOdVTpqJITka9eQt1S5agu/JKFElnFihLNBrkcXF4SkoIue464t+adsb4ZfzkE+zbtlH12usBzW+9\nDl3fPmg7dyJp1kxK7p5EwfXX46upRT9w4Hkn8A0Nuygq/hSzeS8ZGc/h9ZgpPPYeVdU/k5hw2/l/\nEH8h5DEx6Pr1QxYXi0SrxfrrWrS9eqK/5ho0nQMrOYqkJBJmzKB4wgRCbxx+wbohQSIhYcYMzD//\njGHMaFxHC6h+521KJtwV0Mfu1ZOohx5G3boVjgM5QMAa+2KCZ/OKlUhCQ1EdN99SNjtZ1Hou5Y1/\n8L+HCwXPLUVRbAMgCMIcYMeff0qXH+7SUhoWL8by61rcp1jkJn366RlL1q6jRym+cwKaTp3QDw7c\n3L66OpRNAo5qoteLu6QE48efIKjVwZtfGhpK7Av/PoM/eT6IoshH+z9i0aFF1DnrEBC4Nu1aJneZ\n3IiO0TuhN70TevNElyfQyDRs/G0j/Vr244uDX7Dy2Eq0ci1byrdgdBiZ1m9ao0x0hbWCTWWbAHhz\nx5vMvGomU3dMxeF18EqvVwhTnVsfc0PJBp7f/DwT2kxgeMZwpu+aTp2zjkRdIp1jOyMTZHSK6YRO\noeP9ve8z50CAU3Zr81sbDfotI04GMfe0uweVTMWDax8kx5jD0iNLKTIXcf+v9zOsyTBClYGMSd/E\nvn/ILOLK5Cu5IukKtldu5/vD3zO+1Xg+2vcRS/KXsCR/CQAGlYE6Zx3v7Q1o/aaGpOLwOmgW3ox5\nufOI0cYwpuUYSi2lvLT1JZL1yTQNb0rTsKZkhmcGz/VUbP/1Vx6pGM3QtJOThzhtHFaPFYvbgl5x\nurrxpcFndeNrcKFI1GMYfTslk+7BvGo1fmtA1kvbvXsgI9avL5bVqwEIue46XIcPE/34758UhI8a\nhXn5CrTdutHw9dfIIiPw22zET5tK6NChF27gT4I2VMnY13qeXFavrg7yuVWt/l7Bc5TxbW4boye8\n130UjdtBWtEvCIhUR3ei5GDdOYNnn9WKu/AY6jatsW3dSv1Xi7CsW0fY8OHEvfzSRR3/bMGz6PVS\nfNdEvBUVOA/kEPPsM6ikHnQ//EjFqlW4Dh1EnphEzXvvAyANT0VqaIbMoEIaqsSRVYEsOtDHqszz\nF2+FDh9OzXfz2Lp9AH61F6lUh+hwIpi92HPn4lAq8IQLeJJ9WNUFUAVJieNJSZmEUhmN1ZpPaekX\nNJh2YjLvJTf3cbTaDJo3e5W8/BfZu3c0MlkoHTsuJDzs3PQwnTYj+H9ExBVUGH+gx8KVePILkRoM\nSENCEOTyoGpG/JQ3KSovp/S++wkBND17nLfPtb170fDVIqIeevCs45c8ORl/fX2QGy1arKjatQvs\n2707ibNmYfzoI6TtO5yhWnM69u+/D4/XiE7Zkvjw2xBUEgqPfYCjoQQSwFVkxlttx2f1oEzRo0z/\n67WQT+BU6ljMCU3q06Dt3o0mK1cgP0UX/nzQ9e6F7ji3WtWyJborrsA4ZzaaTp2D7wMoUgLUD09R\n0QXbdB05gmVNQJpTctzM6IRRFEDYqFHn2vUf/I/hQsFzkC8giqL3P+18dSnwu90U33EnnooKNF06\nE37rrWh79aR43HjqFy06I3g2//wz3qoqzCtWBPUnASIm3oVtxw5cuQeDFptR//pXo2KsC/ErT8cX\nuV8wK2sW/RP7c3Xq1fRK6IVBdW7ZoFMDL0EQ6J/Yn0V5i9hcvhmlVInL52JX1S56J5y8puXHlgNw\nR+s7mHtgLkO/H4rb58aPnw/3fcjT3QIUiZ2VO5m6cyofDfiIMGUYM7Nm8mn2p8gEGR/u+5DFeYup\nsFaQEpLC9ortLDi4AIDmhub8q9O/mJszF4DOMZ3plXBy4AJIDz3ppZMRnhG8xo2lG8muzeaO1ncg\nE2R8duAzfKKP9ND0swamvxeCINA9rjvd4wIrAu9c8Q419hrKrGWoZWpaRLQgvz6fhQcXMqrZKJob\nmlPnrCNMGcbjGx5n2s5pxGhiWF64nG0V29hXsw+HN2DnLBNk3Nf+Pia2DZiH2D12Pvx1BqN2BPpe\ntccFx1f4YnUBqbb8+nw6xZzOpL00VM/ah6/OScIrPdH26YM8JZl3t3KfAAAgAElEQVT6BQtQNm+G\nJCQEeUrAGe5E9sSvUhE/bWpAku73TPB8IqLHh7ptW5rt3hXQWh0xktpZH4JMhu4iljH99sD9ItFc\nmh6340AO7mPHcObk4Dp8mKhHH0HdqhWiKCKccj2iz8exkaPw1tZimHAnsovQpf6roDye8RIL8zGb\narDv2IFOFGmd+xm7VBFs/wF8XpHOg1POcPMrnjAB5779pH67hOI77kQaHo6qRQsalizBMH4cyvQL\ne1VZjwfPulOC54Zvv8NbUYE8Pp76BQuQhodh27oV7a7dANTNmx8494ymxE+fjn2vCfteJ2HD0zF+\n8DbmJQtRte9O/NQZF/xuHTEN1Lzqxy/1YfhAhvKID8EtQT/wOjzGSpI+nIXseKF1efk3qNSJGMJP\nKmlotU2RyUI5ePBJQCA8vAft2n6CVKrGasujrm4zbdt8jFZ78b5dSUnjqa1dQ1ndN6R2mnTWbSRq\nNYmzZlI9ZSqlYaE0f+aZ82b7Y558EsOYsSiO33+nI3zECKqnTkU/6Grchcdw5eejPh48Q+OA8Hzw\neOrxeI0ozclE751A5U87QABZnzAa9uZQtT4LT8kp1E4BDLc2R90yAtEvIlFcuvLRn4k/ooEu1WmJ\nfvjMhXGpXo/UYMB58BB1C76kfuFC4qdMCVLeTsBbW0vRmLFItFoM48Y2+iz5889BEM664vAP/jdx\noeC5nSAIJyodBEB9/PUJtY2LX2f8D6Hh62/wlJSQNHt2o0EpZOhQ6ubOJb93H9StW2MYNxZN9+5Y\n1q9H3akTKZ/Pxb5zJ7YtWzD9+BPGT2cjjYjAMG4sivQmKDMyULU+uxXnxcDn97Hg4AI6x3TmvSvf\nu6Qs64Q2E4jTxdEhugOZ4Zn0XdSXbeXbGgXPa4vX0sLQgkltJ/HDkR9I0CXwaq9XeX376+yvCSi9\nOLwOnt/8PGXWMn4u+JktFVvYXLaZ4U2Hc1PmTYz+ZTQ2j43Xe7/O0CZDA+Yt2bPJr8tnTfEa7vv1\nPuK0cSwZuiRIVTgVcunJB2tySDJyiZymYU1ZcHABPtHHlUlX0j66PVelXMXG0o30S+x3RhuXAxJB\nQow2hhjtycxGZngmL/Z8Mfg6Qh1YLnyjzxtMXDWRJ397Eq/o5YH2D3B327uptldztOEocw7M4bMD\nnzGhTaD6/bnNzxGRE3ggCXFKzKuKUDUzII/WkKwPZD7GrxjPxwM/pmd8z3Oeo7fBibvIgqbduQsb\nfVY3vjonAM4CE+pmBgy3j6bq9ddxl5SgzMgI/p6UTZogqFR4k5Mvmlrhs7rx270gQN2XB/Ga3IQN\nSUfdOgKJUkH8tKlUPPscUQ/cf0FnL1EUqXhjBxKNnLinz6SKiH4/jn37cGTtw3kwF03HjoSNGhU8\nf7/TScnddwdsm6VSpHo9RbfcSsh112HdtInYF/5NyMCBgb6rqsJbWUnM889huP32M471n4QsNhZF\nejrGjz/GazSi7tQRV14+6vbtab/lfUpHT2fnskKKs2u4emJrQiJPFjKekCK07wgs/KV+8w0SjZoj\nV16F8bO55Da5FVONndBoDcktDWR2PVNX29bgQhACtucQKJ6qef/9wFj3xXwqnn2O2vc/AMCdlkrm\nlCk4srPR9uiJMj3AG7btPIg01EfZQ5Nw7NodMLB4YjLK5As/Bo4cfQu/3Ed87CiSHr0Wy9pfUaSk\nBLnEpyI+fsQZ7wmChISE2ygq+rBR4AyQmfHC8W1+3xgaHtadqKhBFBS8Q1zsDSiVZ894yqOjSZj+\nFofXr78gTUaiUgX766zHvPUWjHM/w1ffgLZHj4umEgDYbEepb9hOiL41teUBylmi7R5iRvbGW+fC\n7/CgFGIRY2x4jzpQZoQRfmMGgkKKcV4OdQsPIdHI8Lt8qJqGoWoZgTxOizOvHm3HaGQR/10+Ar8H\n+qsH0rBoMeaffwagaPRo4l59NVjwKIoiFS++iN9mI+27b8+YkGq7d/vLz/kf/L1xIYfBv+f09CIh\niiINX3+NqnXrM2bzhvHjwOfFZ7ViXbee4jvuRJ6UhKekhKjH/oUglwekc3r2JOqhh7Bu3owqM/Oy\n6GMC7KjcQYWtgsc7P37J9IRYbSx3tr4z+LpDdAc2lW3CJ/oYnDaYpUeWsq9mHw93fBitXMvKm1ai\nlCoRBIEWES34POdzfi3+lX01+yizlmFQGZi2axoAz3R7hlubBzLpP97wI3l1eQxKDYiuyCVy7m13\nLwBjl48lqzqLV3u9etbA+QRubX4rB2oPBN0An+n2DJNWT+KmjJtoFxXIvLSKaEWriEufkFwO+N0B\nLU7HzyW80/INJrjvp4kvmRs2dcWX6CQmIhB8V9mr2FG5g2PmY6woXMHqotV8KZ2OPE5LxPhWVL27\nh+r396K/MpnmvZsx66pZvL37bR749QFe7/16sC9P/+7rFh7CXWxBkag758PMvOrk8qMrrx51MwOh\nNw6n5t138RmNKK8eGPxckMmIfvxxDpkuXgfeOD8Xd7EFQSFFkAmIDi/13+TjrU0idFAqqsxM0r75\n+qLach01IXr8+EwuvPVOZOEnKUWix0PRuPE49uwBQBIaivnHn3AVFGAYMwb7jp3UL1qEr66OqEce\nIXToEASNhvInnwyqFJT96zHkX32FunWroFmMIiX1oq/1r4IgCBjGjKbypZfR9uxB4syZFI+/A9Hl\nQuZ3kbHmdTSqDHJ917PhtR8Z+s4tZ7ThzMlFEhqKPCEer9dMyLAhHNjWwOHaSqJT9BRlGzm8o4q0\n9lHIT8ss2hpcqEMUway2eeVKfLW1RL31FoJEQtwrL+NraMCxN4uGBx5EEpqKtkcKglKKt9aB6Bdx\nHq7HW5mNc99+Et6eTshxu+nKyh8wmbNQq5NRKCIxGjcQGXkVMdGBgk27vQizeS9NmzxBSkogw3sh\nhZezoWmTx0lMuA2FIgrJKa6ilzp+CoJAWur91NSspL5+O7Gx1+N0lmOxHECtTkGlSkQm016wHZe7\nFqUiEoejGIsll4iI/kilgd95ff02jhydRoShD+npjyBRq4m8exJVr72GfccO1J06neE26LN58NY6\ncBeZ8VnciG4ffreHg6H34VKcdEmWeDTEXTkQZdzJ1UrtgTQslgPEP9sNJELQ3t5wS3Pqlx5BEEAW\npcGRa8T5/UmpW+vmcvR9EtD1iLvkFaK/M2Kfew5BJqfh229JfG8Gxo8/oXzyZOQJ8Wg6dsT8009Y\n1/xK9OTJKE+TP/w98PkCK5MnJnanw2rNu+S2/8HfC38PR4k/CZaVq3Dl5xPz7+fP+EweHR10HfO7\nXBhnzw5mXk6v0hcUit8tTH8h7Kneg0SQnEFx+CPoHt+dGXtmcNR0lAUHFyAgML7VeMa2DCxBncqF\nbmEIKG88si4g9j+86XB6xvfkhS0v0CuhVzBwBkgLTTunPfjUvlMpNBXSOfb8El7PdHum0esusV1Y\nP2o9ern+D3GbLyesOypo+O4I6lYROHKMCHulfDXhc2wbynCV1GP+tRhdj3i8dQ7a2ZqCCAuzFuDd\nXc87imcx1GhQdg9FFqok5pGOmH46innlMdylFvqM6UPbqLY8tPYhJv82mbk5czE6jLzQ4wX6JAao\nD16vBXdtAyDFurkcRWoIjuxaRI+fkAHJKBL1OA4ase2oRN8vEXepBVdxYGFIqtMROnw49V9+iTIj\no9F1GUbfjvs0Kalzwe/y4S4OLPfK47UYbm2Ot9JG7dwcHLlGQgelXnR/in4R88pjwdeO7FpUTSU4\nDx3CXVyMMzcXx549RD/5JKFDhyA1GKh6403q539B/fwvAFCkp1P1wI2s7+Hn7rhYpBIpSR99hG3z\nFpRNm1B48whqP/qQpA8+CAbPZzVE+RsgbMQIpJGR6Pr2RaJUIouJwXXkCCFDhuAuLiKjiYHy8ios\nJhmmn3+mYcm3REy6O7i/Kz8fsU88B3IeoqZmFborM6gpGExEONz8VGeKso38PGs/1cfMJJzGQTbV\nOIL2566CQhq+2426+zikkZnUfZOPskkoibNmYpyXjWajiZqNjbWPAxBx7vmGhBkzEDtHsGPnDVgs\n2QAIgoxThZiqqpZRXfUzUqkGi/UgEomSmJg/zo1XqS7vd6vTNUcq1dFg2klU1ED2Zt2B3R4IKjWa\npmRkPE2Eod8ZY5TbXYvTWU5V1TKKS+agVifjcBQf3y8NtSoJt6ceiyUbqVSD2ZxFaGhHIiL6EjZy\nRNCC+1Sqn7vcin13FbZdVYiuwCRekEtwh1ZTm7oEl6KE6IYRqCzpKGWRaCOaooht/D2rVHHU1q4B\naWN6lsygIurOkzSF0OvS8FbZ8VTYkGjlWDeXYV5dhGVDKZETWqP8HcWr/w0QZDJin3uWmKefQpBK\n0XTsSH6PnlhWrkQaHk7lq6+h7tgxkFS7BPj9XsrKFnC04B1E0UPbNh+esY3LVc3+7Hv/6KX8z2DD\nhg2aiRMnpmZlZR30er1Cx44dWyxcuLBgzpw5EWvXrg0VBEGcPHlyxcSJE+uXLVumf+mll+JDQkK8\neXl5muuvv76uTZs2jlmzZsW4XC7h+++/P9qqVSvX5Ty//7fBc8P3S6l49llU7doSNuz8MloSpZLI\nu++m9v0PkGi1f4h3dbHYW72XzPDMoGza5UCPuB7MIKCA0D6qPQ93fPicQW3HmI7IBBle0UuEKoLH\nOj9GqDKUgSkDL9pGWhRFooggNv7i7JdPx+kSdH8lbLurED2+oDkDgHVDQPLMkWNE1dyAp9pO/dyD\nwQeZfU819j3VACiADuktcO2pZVL1CASdHEWKBm2XQF/IQpVEjG5Jw/JCrL+V4jO5CA0N5ZOrP+GZ\njc9gzCllUv0N/Fj+JeHJArFJcg4Y7yXd8RYSpFi3lMOWciR6OYhgXHiIqIltqP/2MPI4Leq2apyH\n8vHUahB9IoJUwDB+HPYdOxq5rv1eOA8FjH4i72qNskkYgiAgCw2oKZh+KcTb4EQWdnHmM/bdVbhL\nLITf1ATrtirMa3IpvfthkKmRRjTFV3eU0JtuxDB+XPBBH/PM04QOHYIrPx9Fejrulunc9u0g7Fl2\nNpVtoltsN9pFtaNjt47IFXo0XbvgPF5N7ykLyAHK4+Mu+fr/TAgyWZBiAiCLicG2aRMJv/wcfE/3\n+NdU10qofOll/GYz9q1bg5+ZxUMYr/UiqyskJnoIlVVLEdq0I7xCG5BEPK6dXFlgahQ8i36RmhIL\nmV1iqH7nXeq/WYG277MA1M4OqNvYdwfkxJyHTACEDExBkaLHU1JBww8/Iw2Pwbr2J6QGGcb0fAp2\nv41CEUlExBV43Ebat5+HKHpwu2sRBCn5h1/FajuMz2cDRFq2mHbZA9/LAUGQEhbakbKyRZSVBYr4\nZDI9kZEDqK/fyr59E9BqM0lOuhNRbKC4pJDamjXUN+wA/ABIpTrUqiQSEm5HpYyjqPhTHM4yRNFD\nWtrDJCfdwZatV1BS+jkaTSpqdTKJMz/Aun4D2v4DqFuch6fSFrALlwqoW0eibBqCNTyLCsti6uo3\nIQhSmqQ9TkrKPedNNqiU8fj9LtzuWpTKc1O/BEFAHqtFHht4/qgyw/FU2qj5ZD/GBbloO8cSclUy\nguw/o6LzZ+EE7Uai1aLp2pW6efOpmzcfSWgo8W++gSCV4nf5cB40om4bFczcnws+n+P4BOozbLZ8\nwsO6Y7XlcfTodETx0eA2dXWbyMt/CVvD3yNR9Hsxecm+pPxKy9lF8S8RmbF6+7Sb25Wc6/N+/frZ\nr7nmmoZHHnkkweFwSEaMGGHMzc1VZmdnqw8ePJhTUVEh69q1a4urr77aCnDo0CH1gQMHcqKjo70p\nKSltlEplbXZ29sFXXnklevr06dGfffbZOY91Kfh/GTzXzZ9P1etvBJZH338/6Lx2PghyOU3WrD5j\nCe3PgNfvZX/Nfq5vcv1ZPy/PP8iGBXMxxCcSlZKKXKWiec++yJXnD1qaGwKSOmqZmi+u/aLRZ6LX\n36hQJFYby67Ru/CJPhxeB3pRi213FZqO0RedCbbvrqZ+ST4xj3ZEHnP5JgGnw11iwbqlnNDr0pDq\nFJelzfpv8gGwrC9F1zsBRbwOn/Wknra6VQRh1zeh5qN9CCFKIka3wHWkAWmYEmmIgpo5BxhtvZ46\nhxGj0ky7585u7avtEot1Qym1Cw4SOb4VSq2St/q9RcWRLPxWKz2s7aBCxLndTdPjEx/Z1R70oa2Q\nhilRpoXiPmai5pNsKqfsBKlA1F1tqPngDWzbSlF3noC31o48RosiKYn0n3685D4RvX7Mq4uRRalR\npoU1+h0oUgMTHU+57ZzBs+gTQQL4/ZjX/IZlnR+fqZySiQ+hv/YBRH8m+iEvgjIefCCoBGKe6Nb4\n9yaCNzSeuh5q4mOSeGnj09i9dsa1HMeXh74kuyYbERGpIOWjgR/RJCMDy/IV+O12POXlSCMjA/Jq\ndZuxWg8RFTUItfryTIZ9FjcSrfycD1RRFKn76hCKRD36vhc+pjw2Fr/djremBllUINDRReooMcvx\nmS0omzRBotXi3B/gPFuvk4FfC5WfUVOqQhKzDU1sHuqfCvBUDUYVE0N4rIbKAnOj45hqHHicPsRF\nH2I8vAr9sFcQlBL0VyRjXlNM5NiWmNcWU/914J6o6OAj8apknIcOUfH8JHzHHfGU7VpRd68KU8FU\noqMG07z5a2foCSsUgZqBDu0/v/iO/Q8jJfU+lKp4VKp49LoWRERcgSAI+P3uQGBUPJuDh54C4PBh\n0GjSSU29D72uJUplDCEh7Rr9hmNizhwLIiOupKLyW7ZsvYL+/XLRX3UV+quuwryxlNpjG/DGGRE7\nWPHqa/GKZpzOMpzFZSiVsaSnPUp8/EiUygsXwIaEBAqEGxq2ExMz5Hf1gzxWiyozHHtWDZZ1JVjW\nlaBsGoaue2AyqkjWIw1R4io2Y91QirvChq5HPKpm4WiqwbyuBG+VDU+DC1m0Bn3XWBSJekR/QDf8\nbPeNKIo4DhhRpoYg1QfGdk+1Hb/dgzL1NDdTlw9BIuDMr8OZV4+n2k7E7S2C+50Loiiy9MhSEvWJ\njYy6wkffjs9kQtO1C6FDhwYNWWw7KzEtK0BbZCZ82EkKh9droaDgXSqrfiIkpC0hIW2prPgeh7MY\njaYpbVrPJCpqEOUVX3Po0DMIwlrKyqooKJyB210N3njq9r4G/Dk1Pf8fMXXq1Ip27dq1UCqV/rlz\n5xZPmjQpaeTIkXUymYykpCRvt27drJs2bdKEhob627RpY0tJSfEAJCcnuwYPHmwCaNeunWPDhg2X\nR+bqFPx3B89+/xlv1bz/AbUzZ6IfOJD46W8F5WYuBn9FxhkIqjZ0jT2zgMrv97FmzoeYq6uoKy/l\nwLpVAOz68TtGvfgmUrmC0i3r2eOw0HFw42VQqUTK10O+JlzVeCnPb/dQ+dYuZFEaou9t12h7KVIU\nUgV1i/Ow761GFqE6Y9A6G/wOL46cwEPVVWj604JnT7Wd2rkH8Nu9+CxuIu9ojSA9OQh7qmw4DhiR\nRaqQx5+bcy36RfCLCDIJ3uPFdgC+BhemZQVnbC9P0CEzqIh5rBMIAhKFFHn0yYm3tlMMzbd48Ihx\nHImpoN0p+1osB3G7azBbsqms/AFd626E5Qyg+petGK5vEcgI1bhwRBxG8MioTlyNUR9Bd/loKkq+\nJ7JpJ7TJgeKlcms5DoODmGFNsKwvJWxYE+SxWpz79uE32QFwHq5GHvPHHepcRxvw1jqIGN2iUR9D\nYNkXaNR3J+CptmPdUo59TxXa7vG49i3CtteNPK0/UvVR1G3bYln2Meru9yOLz0DTLgp5rJaGH47i\nOtKApm0gcBR9IrVzsnEVmHBJbEzo+m/2mw7weOfHGddqHA92fBBRFNlfs5+7V9/NzsqdtMoM0I/q\nv1qEbdt25PHx+HwOsrIfQPSZOXzkdcLDe9Ku7adBHurpMLvNqGXqIB//bGj4pQDrb2WE35QRXF3w\n1Dpw5hhRNQ8HiYCn3IZjfy2O/bUoUkIuuPSt7dMbpk3DvHw5hrFjEUURXZgCUSLBI9eRcM89hA4d\ngrOggPwJg3Fluqk5MAhLgQmvp57oDk3RJ+4mxKyi4qWXSZr5ARGJOqqPNQ6ej2UFssraykNIIzNB\niCHkyhT0/RLR94pHkEuRJ+io+XAfXqMDRzg4Dx6kaOw4JFotqd98g99mxZJaQ2HuI2RkPEdS4vlt\nkf+bEB7W5azydhKJgri4G4mNHY7Fks3u3evo0WMkSmXs7772xKSxVFR+C0Ct8VdiogN88YJj88j2\niyjM1cjzHah0GqQyPdqwaFq3fZqoyAFBfrfT5qGywERMWgjqcyQRQkLaIZeHU1zyORERV5zB2fb7\n/LidPlTak7/16rIj+MQaYuK6oO0Zj6vIjK57PD6LG0d2LcYFBwGQhiuRhatwFZgQ1DKEEAVFPxxF\nEMDigbW+I1gRsHr9yAUjV+fUEnZlMtbfypCGK4kY0xJnXh2aNpEI8kASp+G7I9h2ViI1qDCMagY+\nkZpPApPF2Ke6Inp82LNqcJdYcB2uh+P+PYJCiuj2kbt5JysMW9hauRVRFGniSUYIlTMgYyCdYzrj\n9Dl5e9fbrCpaRaQ6knUj1wWvW9+/P/r+/c/oQ09lQOvftrUCTYdolMkhOJ3l7Nh5Ax6PkYiIftjt\nhRiN69BomtK+/TwM4b2Cv4n4uJuprl5OXd1CDuVBaEgHmqY/y6oPQrGb/js95s6XIf4zUVVVJbPb\n7RKv1yvY7fbzLoMolcqgu5NEIkGlUokn/vf5fJd9sPqvDp6d+fn4TKagHXbdwoXUzpxJ6I03Evfy\nSwiyv8/lHag9gEFlIF4Xz6ayTUgFKd3jzzRV2fnDt9QcK+C6h5+gWY8+2E0NVB49zLJ3p/DNK8/i\ntFmx1hmpzd1H85590ISeVDvwuF1ndRE0ry/Fb/fiLjIHAuRINbJoDRJlYABzHKrDvjdAR3AVms8Z\nPPvtHtylVtwlFsyrTxatecoCg423wYm3xoEq4/yarxeC6PVjWV+C83AD7lILErWMkIEpmFcXUbfo\nEKGD05CGKzEtL8S2vTJIqwDQnEMJzvRzAfasGuKe6op9X+BapSEK9Fclo4jX4Xf5QBSpnRNYxj4x\nGZAoz/4bUreNxLqpDCUKfEmBbTyeBmy2I2TtuwOfLxDYhoV1w9OyAEv9dnR7O7JVN5CQsHZEm+7C\nkrGHlOG3sORwS748tJBPrhyMXbOIcEmzQD+IIg+ufRCAb6//Fl2PwLK3z2rFdeQour79EH0e7HuO\noO99acGzp9ZB7exsVBnh+J1eBLkEVbMz5RIlWnmgeMzoOGP/qhl7QACJQoorv5b6rxahGzwdddso\nIm5/EXdJCUcHXo1EtoOEFwOcQtEnYlp5DEd+HXP9X3Nj0xuJMOlxFZg4pCqkuTONdgVpPKudhGGV\nHl+qB6U2ILPWNa4rySHJHKk/gjIjsHpTPW0a0shIoidPZn3WQ+AzM9+oYFB8W6jfwvoNrUhv+m/S\nksdh89jINebi83iwVzTw2LIHqVbX0bf5lfRN7EvbqLYopScl3dylFqy/BSghrmNmtF1iEX1+6hfn\n4S6xYFpeGNxWkEtAJsG0opCou9qeMQk5FarMTFQtW1L76adY16/HkZOLQ54CrSdRmtCPzPbHTZy0\nEsw3+hB9cizFV3DbpFi2TPuZstKOhKVv4v/YO+/4Ksq0/X/n9H5OctJ7QgqE3jsiICCigmJ97bqW\n1bWg7rq667rq2tbeuyz2hlKkiEBAOgkkhIT03nNOTu9lfn8cDLLYf/tueT97/ZWTmXnmmTlzZu65\n7+u+rsDCAJ7VW3F9uRlzWgENpX0E/WEi4Si7Pm6gdl8PE2V+Umf/DokygkSrQDct9dh8Y/cAqVZO\n4q9G4q1sRdKyn75P30eQy8l59x3k6el4PA00V96LWpVFZsbl/2cC558CQRAwGEYhCAOoVL+MEmTQ\nj2DOqXXs2j2LtrY3SEpciK2hjAZPK87Wk5tDJVIBbBnURppBFBGBpkP9eJ1BFCopU5YMYfisdCR/\nl80VBCnm+Dn09H7K0aO/Y+TIWB9POBShakcnBzZWEHBp0ZmjJKQn4rC2Y+s8lhQQSlAbBBZcPQ5Z\nqhaZAMbTc/HX245V/zpxtTgwzsukvN1Lzb6eE/atN6uIS9GSpJFRf6CXblsQYW0TUpOSYIuT7gf2\nArF7sWqoGalejudAD4ocA2GLj/6XKpBojt9vex45ZitxrMlRkW1ADEQwzM1CNTSezif3E9zVw6Lo\ncDLiVGRF0si2JbEpaS93dN2BWqYmHA0jPWaWM+AfwBvyopH/MPsg1OlGkW0gbPMz8G4NusvjqG6/\nhWjUz/hxH2IyxaiQ4bAbqVR7skW8IGXUyJfZvuNJRo2cgtl8Km3VA7gHKljwqxHw4g/u/r/4Fq68\n8srse+65p6u5uVlx0003ZcydO9f52muvJd50003Wvr4+2f79+3XPPvts++HDh//pUjH/PtHlL0Ek\ngvX110m6/XbEUIj+Z55FO20aqQ/c/5Odt/4ZqLJWcdmGy0jWJDM6aTRftnzJuORxGBQGWivLaT50\ngHAoTNDn5ejOEoqmzqRo6kwEQUBrimPI+Emctfz3fP7XB4hPzyRh7GRatqxn299eY/61v0GuUrHr\no3coXfsZ1774FvX791AwaSoqnR7Pvm48e7uQp+sI9/sY+DDW7SuNV5F8c8xt0L6qHlmyBqIigWYH\nnHqilqUYEQcbSsTQydl+b2U/EWcAf23Mnjzu3AL8NQMYFuYgT/z5NCn76sbYTTVLj256OtpJKcgT\n1CCAc2sbvmoryiEmAnU2lPkm4pbkEw1G6H+1ElOLSKjPe0KWOOII4N4Vaybre6mcUJcHZZ6RhGtG\nnlRKTPrNWMJW3w8GPQDyDB3yTD1uhY95i5bQ1vYm9Q0PA1EUiiQKC/5EXNxk1OrYufSkdGJ7tpG8\n1gfxdMYyOdqsbMzxM7hl/Hh2de3mvr2P8VtzrDwIsLNzJ48VwfEAACAASURBVHW2OnTyWEbd8sqr\nOD77DDEaBVEk7uILsX7QQbjvxAxn1BtCjIg/Ws4E8Jb2EHEE8Bzqg3AU1dD4WAD4dxAEAVm8alAi\n7xv4q6wQEYk/LxHLG18RcQ4DhREE5aApgyIzk9zVnyNPP17ZEaQCqiEm3PUWXva8TKO9kfsVMfOW\nR9Lf5I3OB7i473QElYxw0Ivzyxbilh5vhCwy5uB3HUKWmUHiLTcjz8jAsGABVudu5HuqKJObycs4\ng4frPua+VAGTTKSp4X5+V7GWOlsDETHCa21/ZmBLJX/kGhwKN3f5nmFF1QquHH4lyycsH9yXa3sH\nEo0MWYKaUJcbf50N67sxLrx2SirKY5QWMSrS4nkOjX0o4q5seh4/gH5GOupjzntS7cmZ7ZQH7qfn\n/vuJ2B0YFizAWxPLErfknM77zzSSMsSCNPlppMMEbEeWEC+X0X7B+ZglOurkf0aoisMz3Ya5PJue\nBx/A9GhMf71mTw8Hvmgm4A2R07mZtOGxTKcYlmNYkDMYNH8bEoOCtr9dj8bZibtCIPE3v0Geno4o\nRqk88huCQSvDix9H+Ik9Ed+HSDiK3x1CqZUh+455/N+FhLzc5Ryt+S2dXR/QXvcenu7TMSQouPDe\nqQS9YfzeEL3NTra9XUPFlnaU2mOPaBEQYPqyfFqPWNnxQR01e7oZMy8LQ4KaliMW7D1eLB1uPPZF\nKPST6Is/RFLyBtzOVmpLcmguVSBI5SSNKME7YKS7JRlB7iNrfBRjQip93Yex1g9lw6u7Cfs1CIJA\n9sgEMofFkTk2icNNTloqLGi2dOKxByiemUZCug63zY+ddhYumYrFupXeng101Cyi16xh9PkFyNN1\ndD98ANEfxjFKJEWIw1dlRfSHCRZb2WurJH1qH2lCAdFdqSgWQWi9DAEBw/xstBOSkRpOdMbc1LKJ\naskuzgudhicuyEzLGCQGBYJJYJF0DkUzp/NB83uY1WZuGH0DDfYGbvjqBir6K5ia9v09IRFXkFCv\nF/2sDExnD6H/9cMc2becQFwXI0e+MBg4A8hk31/plEpVSIRpJCTMBuDorm6UGhm5oxK+d5v/4kQ8\n//zzZrlcLl5//fUD4XCYcePGDT333HNtw4cP9w0bNmy4IAjin//8546srKzw4WPUtn8m/qODZ4nB\ngP3jT0i87Ta8paVEHQ7iLr7oXxo4+8I+nj/0PFePvBqT0sS29m08tO8hdHIdHe4OHAEHywqXcdWI\nq4iEw2x4/gn8bhdytQapTEbRlBks+PWtJ73N5o6dwK+efxO1wcjXO3eSnmBm14dv015dyYQzlrD3\n0w8AqN6xlZKVr9N86ADz5vwK++eNAHjjfWReOp7IgJ/wgB/bqrpY9lgQiLiCJF1ajOdgL579PXgP\n9SHIY/SGiD2Ar8pKxBFANSw+xg9O1eKt6Me+uhFkAooMPRF3CKlJScQewPZpPRAr5yf9egy+aivq\nkQk/SZg/6g3hKe1BNy0N01lDTlhmmJOFdnwyzq1teA70Ik/RknDViMEAWFVgQqy00PtkGekPTh9s\ndnHv6R4cI9TrxbAgG/2szO/k4CnSdSjSv/+m+A2qjy7HP7mbcePeprb2T3R1f4TJOBGz+RTS0y9E\nLj8x+65NSycwwYO3VEDPFAS5hPypMUF/tUzNQzMe4uL1FyOapYPB8zfGM+6Qm/61n2N56inUE8aD\nyYC7KB3VxAnwfhXRYNKgYQiA7fMG/EcHiFtWgGb09/MkxaiIt7wfVWEcccsK8R7sRZFnxLnpS+TJ\nSajHjDlhfZlZRajHe3x7UcR31IqgCtJ21YXIs6ejLB6N4aw7iHpBkXGcZqYqKjpp/7IULZIqC/IU\nGTuaS7CELiCoDmJVOjAvK0J0hNBOSMb+WQO+I1ZMS/IRBAFRjDJNXo9B10lD83MUXH/L4LG3795F\n3u5HCZ5mZd7UJYxMGMnu1jXM0UtQurZTqIIZI66i391HxtEYXUSCBFPUwCs99/FCygc0NdZi721C\nkalHopTiq7aim5KKIJPg2tGB5a0jyJI0aGaY8GbWItPmEAo7cDoq6LG/DxooOuMJpEdysa9twr62\niagiQMrtE1EYT6zqqIcPJ/fDDwc/R59/FWLFDzJH+fGJH6Mw7mCgdj79NfMpqnsfzZTJaEQNc3be\nji9FjW04aM+ah/3FFfD5SmA6X39Yh0IlYVLvMzDZCu5FyAtVxJ02FEXmifS/UG8vwcZGgl3t9C5t\nRVRBSs804s+KVQl6e9fi8dQxfPjTJCT8MtWhA18001xhIRSIYO+NXUPphSaWLB/3i8b7d0HEE8K1\nrR0xHEVqVEJUJGzzY5iThdSoQPiW4Y3t03oknTmYZk6mof5RQvIAXksRI2YlIVdIkSukaE1KzMfo\nZ3qzisyhx6tA3/zGR8/NpP5ALzs/aeDLN2LNsoIA+gQ1WoMCe6+XUCAej2Uum14txdMzgmhYgSFn\nN6PmOxk19hH6+zdjtZZgMIwiLe3CY7+rM/h6zQdUbojHmNFBXGIuPY12Go81SQPEpWiIRkSW3jGe\n1CHHr+Vt23Zy8ND/YLfvQxAUKBO1dHXOQp5twGVzobw0ly/t61hV/yQjMs/j7nPvxtK+jl0f1eFs\nnYyjR4/3tHthOhCGwvMexhSeiW7yyZn+bW3buGvHXYwZNpqzRqSQn5ZHuNONIkOPc3Mruza10vxY\nlCeefArlMdk9nVyHSqri0/pPmZo2lag/TLDTjTLXOPgc8DfaGXjvKAigGhaPIk2H/GIv3rZqkmov\nJVKlp8u6J0blGGKKUfuMypPmBxCJRHG0iez5rAFHv5/Gg31MWJSDK+L8zvX/i5Nx0003WW+66SYr\ngEwm4/DhwzUAZ599tgvo+Pa6ixcvdi1evHjQFWj//v2137fsH4X/6OBZqtcTsdtxbdqE9c23EFQq\ntNP/cdJvP4aq7Vuo3rGVUy//FQlZOQBs79jOyuqV1NpqkUvk7OzciUKi4LGcu9EISkZOOAWdKvbw\nqtu7E4/dxpLf/pEh439chF0Xbx78e8o5F5CcO4RVj9zH9nfeJDmvgN6meqq2bwGgr76Jfns1MmT4\nI162rH+HbMc4imfNJXPcCPwNNtz7ukEE9ahEFJl6pHFK/EcHBrPTAEgFiIjoT83EMD97MEhRHONz\n6mdmnCBf5trZSdQVRJFrxLqyiu5H9yP6I0R9YfQzflwj29/iBBFa7EfI6dXiczo4sOZTIpEwMrmC\n2ZddQ9zSAgxzs0AqOSEA1s/KwHukH0EUcHzZgsysJtTtwVveh2pYPKYz8hAhlsX+hRDFKHb7fnp7\n1wJQXn4lNvtecnJuJC/31h/MysWdWxB7IQhHQSoZpM0AjEwcSYYmDdXmNsKWLVTev5AD3fuZ580l\nWt+EtfI5lIWF1N9/KY+UPUaft4//OfIcl2i0IFERdQZjD28g2GpDDEUYeL+WYKcb44KTKR3RYATv\nwV4i9gDGhTlI9Qp0szIoe/QutCvWIDEaKdyz+wRjlZg+7AARRwCpUYmrpINgi5NA1To0kyaReMtd\nWN9pIeqNvTh808n/fZAnqhEQeKLtDrL8KcjEIEeyOkjTpaEbcTzol2WqiJaH6Pz9TsKLmuiUvUm8\n00Nc6wV0RF7G6+9iRNGfaGt/E2Vz7JZWLIs1z55TcA7nFJxDJBJg567JXJSSw/Dim3Ec7cFF7CUv\nKIRIvn4szpV13NgYM+hw03nCXKXDRaKOCIigKjajPyeZytrrcVQfPGE9nbYIiVRFs/9RchZfh9Y5\ngt7NO9D3TKRjzWryLj3RuezvYRw1lIkr/oR4sQt3hg2dICUxYSFNn84BIFstRzn8akLdXpQjE4nI\n9gP9hCR2zFdfjeXV11DMnUxE5iWt+G0ci46gtY2GQ9CmfwKD6w/ACLxHK5HpjfRGttFa8iiKg2HC\niSLiMf+enpTdKLpjtvV9fRvQ6YpJTjq5EU4URYK+MNGIiNsWwDXgR6aQkF4Yh0Qi0NvipOlQP4c2\nx2TcVDo5k87MxWnxUbOnh5q93QydcmKA5LEHCIci1O7tQa6UodTKcFn9FM9IG5Tb+1dDDEeJOIM4\nNjTjq7QgqKSI/uP0MW9pL5oJyShStThL2kGE6LGG5HTL9VRLrsFvyyMakZBedDLNrXj6ycok39x7\nBUGgcFIKuaMTsXa66WlyMGRc0uC5ObK9g7r9vfS1Ogg5JlI0OYGkfBu61CQyM5cjCBKSkhaQlLTg\n78aXMvOsizGmP4XF+QI63VAWXbuOgW4PR3d3k1EUR/YI8+AcXK4qmpqexh/oIirW4PHEU1T4Z1JS\nzuarvvuwNwmse3kHHVVBZCof+tlfcG7PGTT1dfL09hcw9ucS9k0mJAmALR2Z9S1SRu+i9uDX7Kpu\nZdbZCfj6a0lImIkgSPGH/bxf/QGfbt/AGe6rGdU1id17+tniaSUuWYNCpUbwh2n3x6qjroHA8eBZ\noeP25Bsp2hxPdeVWDD0KCItoxiRiOD0XX0U/jo3NyBLUJF47ClmSBlGM0mJ7DpUinVTTMqL2CLJk\nDe7dXYOVzISrR6AqiEOMiic8iw6sbaZjt0iXtB2tSUnBxGQmnJ7DO9V/+2UX3H/xb4f/6OBZotVC\nIEjnbcuRGAykPfwQEvU/h/oSDoUo+dtr+D1u3r7rFsYvXsqQcZNo7oyljfZ170MhUfDbCb/l9Iz5\n/O3amBPdAeUK0oqGodRoaTiwh/i0DHLHfLecnBiJ4vq6E83IhO80zMgdO4Hhs+dh7Wjj3Lvv55Xr\nL6e/Nca/zJOMQBqSUpNQgTbXjOxrFVXbt1C1fQvG5BRSDEMYE44ZFWjHJ9NZe5TKLRs55dqrEQai\nSNQyZPEqBIWUYKcLRYaevuZGNEYTenMCijQdSTeOQZ56YoD07QDZuChvsBkv4gx+5zEGXG5sjR0k\njy5CEAQGypqIiGFK1r9F5IvXBtfTGE14HXZaDx9i9mXXMHz2PAIeD87uPkwpaQiCgCJTz4bgR8yS\nLoAdse0EpRR5qpYOVQNfPbeSs26/Gzk/7xoJBC3U1f0ZELDZ9hAKDQwus9n3kp11HUPyln//AMcg\nCAKCQgrfysD7q6uxvvEmglzOLXUezNUAHbguvJoXAiKJ9pjmbFTex5abCnn26zsoiitifNJ43j36\nLsvMV6Jygb/OinZiGmIkStgeItSwGUGlxb1jBmGLB+P6V2h+9jky33gdqclE37M7CVtigbGqOPZA\nXFP7GQmfrEELRB0OAnV1OL/4gkBjI/r583Gs24okfin2dbXEXzAC1452wr2VKLJCZDz3MiCgnxNB\nopQhUcu+k/7xbciOvcQU+LLozHHwfPQlDmvqOUNfTHv738jMvJz+/s002l4gg9tj56FEg+a0ApK6\nL0JsVdAgsRORrmKPbQfBYD9pvj8DoOPE61IqVZKUtIje3rX4/csJtMSCuV5FH92yAfIy5qC+dRwN\nGw+i2R/kq4yPmXjqFeSr8wiErRzsWEY45KRw2cNYdF9Rsf89IEpK8hISE09DJjcil5nQaHJxe2qp\nrLyRuvoHYjsfBenh5SjaEgezhx5PAw0Nj1JYeO8gtScYHKBBvhLzGVdjS9hCNuPJmLIMlToFoXEp\nol+BeupNIIJEG0GeNg6FpwZpwIC78zCZD6zG6T5MVvE9yOIHEMMSkiSnkuS4jpDEi8tYSe1LV6G/\n8ExaB1YgdQmEk0XIhEAmCMjQq4pwB6Ygim/R1v4GUqkWEBg27JHvfDHcu7qJgxtbT/q/KVlD0B/G\n6wgikQjkjEpg3IJstCYFBrOaoD9M+1EbW1YcJeAJY0xUk5xrwOMIsurxMkLfCkS/Qd3+Hi598Pvd\nOf8ZECNRvGV9OLe0EXEcszw/ViWLBiMxKkKbC9uqerylvXgBRa4BoiAfmYDnQC/hrVGShl9EgztG\nq0rL/2GXzu+DXCklJc84KFH4DUacksGIUzII+MIolNJvBXWzfnRMQRAYPWE5ra06GhofxWotwR/t\nIn+mAb2umJ6eHaSkLMXtruNQ+ZUASKUaBE5j2tS/IpPFEkPFk+bRuC1Ke2UUfXoDrs6hDKyP9W+Y\nAKnChSD34VH189GIJ5nbfjFsGUlL9Qzc3bFE0mdHQBXfQO7shzHmzOPV1gaEXamc3nMdUjn0h9zH\nZi3BH6xDIhlJKBBFLQFfFLo/rMW8fFwsqx6KcErVSCJhLz29FrbqK0EmsKR8Nt7yfiB2H4w/v5Be\n2xrqvn4ArTYfl+sIxcMeJ2HGcY3saCBCqMeD5Y1KfFVWop4QtlX1SHOMRMckoUjSUHegF00CXH7/\n7EFeejQSof6d1b/gm/4v/h3xHx08C3I5+lNmI8hkJP/+rkG5p38Gjn69Db/HzaKb76StspwDqz/h\nwOpPCOtkMAsmp07mjgl3IKmzDAbOxTNPRaHR0nn0CI6+HhIyc1hwwy1Ivodm4i3rw7mxBc/uLlJ+\nN+k7ebgLro+V/gVBQKFWEw4GKM6ZSaEwHjFfzrQxU1AOHcb4GadSPXcuVpOeXnMStfW7kBZImT7v\nIvr8rXz2+AOEAwGScvMZd/qZ+FxOmsv30HG0Cr05ge6Pamgo3YdUJmP0aYtIKxxGe3Ul+RMmkzP6\nu0uvuulpCFIB++pGwn3ek5aLokjzMzvQufVUvFuBZIQWfY0aW6CH+TfeghiNIkgkZA4fiT4+AVtP\nF5teeoZNLz/D0Z3b6G6oJ+T3kTd+Esm5Qwj6/bg6WtgkvMnYKYsZdeZCjHlptFcdZssDsUB8zRMP\ncf6fHkIi+e5zHo0GCQT6aWh8hLTUZZjNp9DZ8S59feuRyQwkmE/FbD6F+PiZdHd/glSmIz3t5Iaf\nn4LOO+7EuW4dEqMRiVZDmsNN+8IICaVS4nq9DIzORnbTUq4deA6nRiQo38klwy7h9gm34ww62dK2\nhT3KKk7py8dT2ol2Yhqe/VUIggRlfjJR51GCTdsQo7NQVdXhD3lxbdqEr9ZP1DcEMRpGNzWO7hWv\nsF7TwKHKr/iNG/42V8LlW6K0Xn4FUUdM99e9NdalrhyVgFc4BXlGJ6IvQrCphOy3Hh3MUBvn5/zk\n4w9965k/4vLZtK5+jBwxxFzpfurq92Md2IHVWoJUe5xmoPCmkLjmckRBAESG9pxJS95XxKmz0Bl/\ni9QZW9fe7KS8pw6tUYEhXoWx0oKx/wxkQj7lnhuIb1yMVJ5Kx7T3kcullJZtRiJRQq5It7KeTJWF\nBo8LU9xC2ttXEA47kco01Dl/j+CSkZZ2PkmJ84mPn3UCxaq/3YXGMJQZ03fiD/TgdFYQCPTBgAnK\n9HhdzXgDDVRV30kk4sa6dyepqUvJzrqO8oqrkLaYSQhkk1J9FVSDvaITZZYLXeaZhLtjWW7zFSPw\n7K/FtdWBhmvJ3w7d9qtx1e2jc9YhZNFYhVJWVkzW+D/gamqHcDnS3gDWpX6sgRXIbVJCGREIQca6\nkQx56j2kUjWCILBt21cUDS0gMWHeoPTcd2Gg20P5V23EpWgYPjMdfbwKXbwSR5+Pso0tpA4xkjcm\nkewR5sEM4OD3qJJx8X2TWXn3bnZ+XD/4f4lEIBoVkSulnHrpULKK4/E6gzQe7GPfmmaC/jAK1T/n\nseW2xTLgEolAW5WVmk+itH66nQRBwGRWEUzT0dDoRNzawTiZlBGnpKMyKFGPUKIcYsKxsRl1sRll\nYRyCIGDpcOGWScnONZA+dAbNz1cQnxZApfvfkUdVqn/5eUpMPI2GxkepOHzNScu6uj7C7ihFJtMx\nfvzH6LQFlJSUDAbOABnZ8yhaeA9GcwLjpt3E6hfW0F2dhH94B5csmUFQbWFrxw7UUSVn+BeySv46\nBfrxzGheRq+pmaSIHlnQgMeRxtEvridz2ktk9mUS1zOLlGFdGIY9iK3hVBwt08mZ9yASWYhhQx8l\nLW0Zffu6+fito3SFtxLc9iwaST6qhiLkvaloL8rFYvCg92bzVNlTmIszWKybH6Pr5RgIBLupqf0j\n0agfh+MgWm0hKSknSspKlFLIUNKX5EK9K0Lrtg66oxG8fQHE/ccpLqkThRMaOj994WHi2v4z1Tb+\ni5PxHx08A2Q8+8wPLvfYbUQjEdQGI7auDvTmRFS6H+e0/tiYB9auIjEnj6HTZjFs+imMmH0aG154\nAkdfLwsMM3l8fqyl9uPN9wxuN+eqG1BqfloDnRiO4twSy45FnEEsr68n8bpY2VTe78VbegSJOQNv\nWR9x5xTgrexnesJSDvi+YARTkRoEhM4SWh9fOTimEhiSlUfa1j1o0hM5KnzNkDOns+GxJzClpCII\nAmVffEZj6V7aqg6DKCKRyohGwqh1eoafMheAQxvWcnD9aiRSKRWb13PF4y9izsik5fAhanZup6Pm\nCBMWn8OY+YvQTU0j0Owg2BnLEkT9Yezrmoi6gmjGJKFz6+kT2zFJE1EcjZUdhTEaimeezK2MS0nj\ngj89TPmXX7DjvRWodHqKZ55K3d6dNJXFOrONOUMwaLUc2PMZpXtXkzt2PL3NjRgSk5l09rl89fqL\nlG9cx7hFMeOcUDCAXBGjO7R3rKSh4VGkUi2hkJX+/k2MHPE8Xd0fEx8/8yTt2uzsa0/47N65i76/\n/hUxECD7/feQxR0vxwY7OpCnpQ0Gmf6jR3GuWxdrcH3kYeRJSaxtXEt77XL6JkZIzbibObMuxxf2\nYXkv1jF/2/jbuLz4cqQSKfGqeE7JPIUvvAeZ3n2IoNpI1B/Gs+cwkEXcZeegGZ5Oz6N/I2yToj/j\naSKOdvqefxfNlFsQhF7ca+/F/YUEIhFmANMkAtKMNKrnqHEeaEURcPHCUglRASQi7C8SWHhkA7+J\nTMO5oQUx7EGZqUKZ9/OVPrwhL38s+xPLWUpEHaS76yXuy9YR8XYSkZqQRuxYrTvIzr6BpMT5VLhu\nJKy0ka69jJTAhQTbnDFpwm3tfFg/krOnnUfWRwIRYhnLvkoL9QERfzhKmlxgolZGMF6FwlVA6s6b\niYhgDcrwN6ShK/6CY+8ISCQqErLm0Ny7EZ17BzU1O5BI1PQeugC5rp9xpw0nLfUc1Oqsk47J7wnx\n0V8OAHDFo9PRGlNQJcZk7Ww5lXhK7ZRvvR6/oRGdtgi3pxZRDNLV9SF9fRsBgfRALDsnSsMYZufh\nq7TgOdCDLKEAiT4FQSlFalRgOHUErq27BvcdmJVMafulCFI5qa/OoC/RS75hGq6t7WjGJzPw+nrM\nuxQ4zwyhaTYy7N7Psez7ENtjr5Hx3N3IZMfvS4IgIz3tgpOOTxRFju7uJj5Vizldx/oXD6NUyzj7\ntrFov8X9TMo2UDAx+UevAYVKxikXF1G2oYXJZ+Vh6/HicwUZPTcLXdzx8ZQa+SAlIaY28fMeW6Ee\nDwMf1qLMN6EZm4TMrMJb2otILGv87ZefoD9MS2kfXY12qvacqCZhkINSJqErCi3dXiS9PnLHJBIK\nRNi3pomyDS0UTEpm8ll5IILhzCFIZRLCwQgOi48PH4xdG9c/PxtBItDf4SZ7+MnKNv8O0GhyGV78\nFIIgxWAYhdfbQr9lMxbLFlzuKrKzryMr82oUiu+ev0QiZ96SxwY/T7tyNpeuuI4r515IcmYekMfl\nCTGpVm/IS7ouHZVURbxC4ILUc3hk96Mc6ivn9sK7aPtYRvu2u4gDpEon2rxnyc69hPwCE3197zFm\nzNdUVS/naM3v8Ps7yRh9I3AUh7YVRagMu2wX5EgYOeFV4kZnsJAMRDFCaceXPNTzBLrCBM7Mi8m+\n1jU9TTgaxJK4nNMzp6BSpRLwRrH3uUnOMSAIAna/nZu33UyKJ5l89+mExCidhgasie2MDWUy3D2U\nRq2XOEkE5/Y2Aj4vvgEnkUMDiEMyTz5Z/8V/JP7jg+e/h7WjjQ0vPMniW++iYvN6SteuAkAqlxMJ\nxThnhsRkJixewtiFP88u1ut0ULp2FYc2riMSDrHkqt/j3tWFfkY66UOLOecP9/PWzdeRVh0henaE\naCRKb1MD+oREJp217CcHzgDufd1EHAEU6Z34qsFXpcS6cheB9gDZLj39JdUI8mYkKhMIEbxlFuKj\nScwfdgmCU8D58V2IvgE0kyfj3bdvcNzsd9/B8flqrH+5n8YEA2uffJjErByW3X0/zXt2svFvr+Ls\n72PslJlkaPQYvAF6dmxHvqscyb4j6GbNYuRFVxEdkocxOYXXbrqK2j1f43XYqdi8HoVaTdDnY/s7\nb+AesJKQlU2w10a8NR5f7QCWD6sQjiWh/bU27MF+hNP05M6bS9/OGrx2O2OWLPne8yJIJIxdeCaF\nU2YgkUpR6w3Mu+bXRCMRQgE/e/YfYPbs2Tj6eqncuonKrV8SCYWYf91vyB0zgaaDB/j6/ZXkjp1A\nR00FX732EpMumAvqBjobdqPQSYjPjTJu3AfU1/9l0E512NC//OD3NfD2O/Q+9BBSk4mIzUbLsvMw\n/+oaTOeei6ukhM7f3IyysJDsd95GajBg//hjBIWC9CefQGqKlW1nps9kU3s66XEyZky9AuAEWaWr\nRlx1wj6np03nvtbNRPIkgAT3zjrC/bGT++fOpwn3R1mQm01xTAQFqTETzdRbEZRyUu5cjGvtHyES\nYdN4CfNPvxHDriMYzz6LRakt3HPR8wQUAvcsepw7d9wJwLql63gi6wkaPtxKQdzpBOu3YFhwstzi\nT8HK6pV81folZ07fAwoPYlsAva6YqOpGOvdMR6GJMut/9MilhfS1OLH0ziYU7qfwzBEYMrLwuYJs\nf6eGoYLIAttMFGvsmMP5lBS3MbYihxS5hBSlgLLYTKDZgcsTYmuTC5UAk7VyTDIBZySC9ejpSBVu\n0tLPJS7DQafljyQnL+ZDm5yDHRtJMRayWMzBVj8PANk8/2DgHA5F6Kix4XMF8bliGrzf4ODGVmZe\nUDj4WZczBA9l6LyjyBh3Pmn6i+h6ZQdtxQ8RNtiQyQyMTH8F11cWIvk2Ei8ah1qbhmFuFuF+L/2v\nHwb0yJNiKgjIBcyXDBvU4NW5RxM4asXYPgZdzjXoQPQ0EAAAIABJREFU3L1AIvJULcb5afTe207S\n1VeR4PVhWr4MZWYGaRnLSZx03qA5xI/hGxUIALVBgc8ZZMnyEwPnn4uCCckUTIgF2rnHxNI/q/+M\nXYd3cdOYm8gx5gAgD8Z4rJYdHcizDERcwZjTZvH3Z8YBAk12bJ81EO734eh0Y93WgUYhwRiJIhME\n/NVWdDMziHpCKLL07FrdRHVpLHuYpZaSbFIgaOVIgIR+LwnnF6EZl4TfHQKBQb1lS4eLypJOavf2\ncHRXrEE5vciE3qymoayP8LfkNC0dbgxmFT5nkPgf0Kb/V+PbGVe1OhOzeSaR/HsQxfBJ+tE/hiZn\nEz2GJvLjhpy0TCPXcO2oExMRf53zGFExikauwTs0yJpnSzEkBTj10ilEox+g1eYBkJNzI4IgMGb0\nG9TU/IHmlmdBEJArRxIOGCjKu5/4pBmUVZ3HUeftWKrnEAxZsdvLWCJ3c1oaNNXcQUdCMfbeT+jv\n+ZSdLhmr2l9mVNpscoMJfP5kGbYeL8Z8KWGTF8uRIKMi56KO6MAgIlncwm3jz0UhVdDhasf+Vi3z\nrElQC87aGKVJAkxLOhtJVMKdvPwzv4n/4t8R/+eC56rtW+htauCNm2PlpuGz52FMTKZ7oJ017m1I\nXCFS+7pxvvUKGqOJoqkzf9K4XqeDt5bfgN/tYtiM2UxddhG+N9txOJtQD4tHZlYT1Ek5mu1k2GEo\n37SepoP7CXg9LL7tLnJGjf3JxxANRmLuTnlGQu1fEThaiXrc1fiqo0TdA4TCAyhNwxCjEcRwEO8B\nCxFHKxJ9BoJTTsTRjugbIOWB+4k77zxCvX24d2xHolAgSCSYzllKYUcHls8+xD6qmBnmdDrPXorQ\n30/KvGlIm1tJfWUFEcBGLGMNQDiMr6KCyNatKHJzkT1wPwmZ2ez55D0QBMafsYQZF15G/1eb2bJl\nPftXf4wYjZKizuWUlPOxvlWFO2Sj3FvCEPkoDHIz5fYtnDXhTwhyCcmnFg+eA1EU8e7Zg3XFCgwL\nFmI695wTzpHWdGKTjUQqRanRQjBIxOnEmJTMjAsvY/oFlwLHm23m/epG/nb7jbx563WD2+5976tj\nf8WadEbc+TviTBMZO2YlhyuvR6VKxWz+blcoURTpf/ZZrC+9jG7eXNIffxzfwYP0P/MsPff9mYG3\nVhA5ltYM1NXRcfMtmM5ZimPNWvQLFwwGzgAmlYmRSZMYsO06YR9vLXiLdN3JzZbfSC4dWpzElE/s\nOL/sIhqQEZHa2GHZiUauYZtrE2t4iajPjpCfhNAJ8ecP5UightZbF1NeU8LA4qkUz/s1XBIb9zpR\nJM+YR4Y+g2JzMWqZGo1cQ7Yhm0dmPsLNlmv4/fvrCTZtRTv51e88L0csR+j19jIheQJ6hR4BgWA0\nOKifvKVtC2Pi0olqG8jJ/jU5OTcS8EhY9dcyHP0x3fBdUh1t1XuOBR6xSsShqJnwbCu1e3torLCg\nUkmYJcbEvZVnZpFwMI6oJNbRLktUE6y3QiCK+UIJE/3vYrfvp92ZirtjDh51G2LFMnoPXkLvQQA1\n2sT7kIh/4VfFt7MjYSyrG1bTX3lcXqpuv4XsITG5tXXPV9BZax9cJpVLKJiYjEQqUL2ri1FzMjEm\nxnjdMrMaiV5BeuQqErKKcZa0I7XrKHA8hnF2JlKpjoFXGhDkUtLOOw3ZMU1rQSIgT9ZiXJCH7ZM6\nhG81mapHJJDxyEx6Hi8lsftC3JtqkefFuJkSXTKCJBZgB9saQBRRjRyFYcH8we0FQfjJgTNAc4UF\niURg2rn51OztJn980gk24D8VUTHKl61fEq+MRxAExiePR3KMT93l7uLe3fcCkKJJ4Y6JdxD1hghs\njVXhBnZ3oyrtHRxLVRSHdmIKyjwjviorgVYnUp2CcL+X8IA/1jCskrFfIsFhDxw/dolA4RADwzo9\ntL1xBGtExCwVaHKHSVZImFochzpBTdQdImz1EbEH8MaDemQCgiCg/jsZyIQMPadeMpRRp2bwwQOx\nKlhnrR250kXBhCQ6a204LTGZx55Gx2AwbU7733Nm/SUIRoLIJfLv1fGWSpV864nwk9HoiKk+DTGd\nHDx/F1Sy442hGoOCC+6Z+p1z+uZ/EomCYcMeJRL109z8DILiIcJ+A6b0sag0SYwds5Lq6tux2fYi\nlWlJST4TlSqNHksJWmcZB0vPRCsEOOhVUlhwFxz4K5Wt1VSsceGy+skaE0dzRT9SUYnL2MPIggJS\nTcnHqiRzB+djVBrpW2qk64XdOIP9fKhfhzktA7HTycXCFaii/xiH3P/iX4//c8GzpTN2k5UpFGQv\nW8DX5jbOyJ3EBwc/o9fr5bTs0yjrLmX4Rj9fvfkS1Tu2kj9xKiPnHH+o2Lo7B5vQopEIEqmU1oqD\n+F1Olv3hQbJHxiS8fELMdOfzFSvYmLCbcqoJFAcZ68tl24pXECQSFlx/y88KnAG85X1E3SEMl2TT\nc28LilQVybePo+e+h9BMHktVdj5Fh5WEO/cTtrpBFo9UWU3UCVJTNlHnYYZWHRmU7JMnJxF33nkn\n7EM3fRpFL74I3V8TkOxCN3MmglrF2M2xwC39qSdRjRgBggTb2ysxLD4TiUaNIjMT11df0ff0M7Re\nfgUZUycQTU1n7jW/Jt7mpPeuu3Cu38B4IOHePxKeNB57Vw+sj+3Xle9l2dUP8PH9f6SnoYFTr7wW\nQ+KJcmoRl4v2G27AV1oGQKi1DeM5S3/UmEEUReKefJz6rh6KyssRJJKTttHHJ7Dg+lsoW/8ZqvQq\n1MZeIgeGYWz3oqhpYH9eGluef57+3C8ZcfGljB/33nfuK+JyEfV68e7di/WllzEuO5fU++5DkMnQ\nTpuGZupU3NtK6H/6aWSpqWS//x6eHTvof+FFuvbGzAL+/jsBkMn0hMPHKC7REI1NTxAnUZCacnJD\nYqo2FaVUSbvKzUxzkLAzEUQX9lAHC3IW8Kepf+KvpX/l7dLf0x7nJ2Aq5tkpj9GV6eCGDTfgVrth\nLDyS9/dd9wLzc47/Hk7JPP7ioJFruHvBgzx88Eyuj6ahHjlycFkoEmJN4xpmZszktpLb6PH0IBEk\nqGVqMvWZ1NvqubT4Uno9vdQM1HDv8Pm4qvV0WmdRvb6G7gYHoiiy9PaxbFlZQ1N5PwUTkskbk4gx\nUU1HjY3dqxporbQCkDlSoOlIlFyNFGecil0fNBMJRSlOUkIwSmfuizg0u5EF4gkN9CCXx1FQdC0y\nmYGoGGTgYC1UxOY+/5rheJ1Bdq+Czv2nI0qWs2xqCWdkzuPDrw7gTtuL0VHAQEfMxKp2Xw+dtXZm\nXlBAzsgE1HoF8mOBraPfS0ulhbXPlnPOnePRGBSxgGuEGc+BXoLdnsEegHBVGKe1F1mSi3C/j4Sr\nR36n/JVmfBJRXwhl/snBqvmSYVjePIJm9l3A8eBaOy0dmVmNa3M1AMrCgpO2/SmIRqIc+KKFg5ta\nyRgax+i5mYye+8vKz0csR3h438McthzXZf3rrL+yMHchAB/WfohEkJClz2Jn507umHhHTPPdG6sa\nhialEjcrDbVZjXNLG77D/bHsuwCRqIhLKsUYiZF3VCka9GfkUtvoxLG3B0OCijmXDiMYiFCzu5va\n8n5cOQbstiDeb2WGp52bT/opJ7vNlpSUUPAjcpvmdB2XPjiVaETE7wkRn6ZFoZIRCUXpa3WyZeVR\ndq9qwHCsWfZfmXm2+CyEo2FStClEohFWVK3gxfIXUcqUFMUV0e/rpzCukMuKYwoxQ0xD0Ct+mctx\no72ROGUcZvUPVwq+Dz/FlEcQBAry78LrbUaqGiDsN6JWZwOg0WQzYcInJ22Tk/Nr3tv3GxLd6zng\nN7Jk6rsUxQ/lrdL3aH5HxBTycdZvxtCqPcpfJA9wU85yrpl9McpjVL/Gsv2UVh1GkEhIyskjc/go\n7NY2tnS9TecpiRRNWcSq+lW449xklq3Cb7X9ouP/L/798B8dPHcPdHDg6w1MnHk6EAue2mqO0Jjm\npmGilG7788gcMtY0rgHgqdlPMS97HuV95SxvvZolzUkMdHbw5cFn8dhtTDnnAo4e2Mn6xx+BFD3x\nUiMDXZ2Y0zPRmxNQarVkDj8eLPj8HpTImdI/gin9I+iS9/HrvIcoXDCX2k+/YNHNd5A39mTb1x9D\noMGO1KBAkW0g2NKCdvp0FOmpZL32XOw4S0pIXj4RQZhE1OdDDASQmkw0LjqPwJEwhgXjf1TrWj12\nLIJGg+j1knjrrSRc+ysC9fV0Lr8d9ZjRGE4/fXDd5N///oRtDYsWoZ02jZ4H/wLr1lEwfTrBW++g\nvSMmvShLTkaRnY3loYfJeOUFkmfMoO6LDegEI8Lojeza8xeS5wSZdMWNpDnT6Lr7brSTJ4NEire0\nFFliAr7SMnS3XYgYDeF55lPaXrkHWXY6xiHT0BXGXkb69n6Es3EP0qmFDNi/xt1QRlKLBBHo3PQc\naQuujzWBATbbXmz2UnJzbiB3/EhswiN4LA2kv5BBpLEM5bBh6K++htCm9ezzuNldfYgjd5Vx/sNP\noQgE6b7nD8RfeSWq4mKkeh1NZ51N1O1GVVyMIi+P1AceOOEGLwgC+jmnop9z6qDCgjI3l7hLLsFf\nXU24vx/1hJNVVuSKeCIRNz5fGzU1f2DAtgupVENe7i0IwonfqSAIJKgTsPgsmJZdgvVvdQiaeDo9\neyg2x7rM8035/GnKMTpB9BCe4RJuXH/jCVbUU1J/HvUi15BL1Sgj7y0cRXpogNKOUkp7SinrLaPF\n2TK43iXDLkGv0PPa4deoGYiV+1dUrcCoNHJZwSJS3LUc3nMjnaKLuBQ1RVNSKJysx8sK5l+3EJVy\nNMZjJjvhsAuL5yUKz96GEBoFoSxE/btILNeyoXs0OCMUTk7GnKYjOrALytIR0iMUpv0RrSaPSMSL\nyTTxhKampoZ8vvH7HTI2EYlUgsce4NCXIJH7GCg8QPsRGdGgjhbTEYqR4ewtwNrlpnxzG+Z0LSNn\nZ5z0YDcmalh842hWP3WIdc9XsGT52JiG74QUPPt76HvmRHm7UI+XUI8Xw8IcVN+jvCAIAvqZJwd0\nEJMETLxxDP0vlxFxhhDCWwi0+jA+8DARlwvLSy+hLChAkZ39s77nb3DgixZK17cwZGwiU5b8tMzh\n36Ost4yVVSvZ2r4Vs8rMtaOu5dXDsarFgZ4DLMxdiD/s59P6T5mTOYcxSWN4vPRxDjccJOlAFF2O\nAQ4PUF7SQcX2DhKz9OSPT2bk8vF4D/ZRc7CPqiYnXkeA/GFxtDY6UPUH8X3cQDgYZfjMNGb/z9DB\n+ZjTtDSV99N1zMq8eEYaCRk6HBYf+VN/mYvgNzB8hxSmVC4hNd/E4ptGc2RHJw2lfRgSVGhN//xM\npCvo4qPaj3jl8CvIJXLumHAHq+pXUd1VwWnhcWjTk3F/XUNmREmN+SBXNn5FWCYyNmksr89/HYX0\nh+e8vX075f3l3DLulsH/NdgbfnLW+f8HKlUakyetpXf/JnqbJHjsIZor+rF2ujGn6xg6LRX5370A\nnTfxSdbUTeFX2QsHg/vJ7YtReySsK3ya8zLfoKKuAq/SwZLZp6FUKBno6mDHuytoLN2LRCIlGj1R\nHUauULIgcylTs6Zww+gbaKopZ926P/+vH/9/8c+DIIrij6/1b4rMeJN462kzuGnFRyjVGnZ+sJJ9\nn33EjtEWOrPC3DD6Bs4vOp9nDz6LSqbi9gkxuStRFDl91enkGfN4/tTn2PjS0xz9ehtTzr2Qmvoy\n7Ifr8ajCGDPTGV00jYrN6wkHAgyZMIUld/4BiDW+dd23h425+7li2a+pP3AYfUmQp1Lf4Z7rHsak\nMH6vosM38FUewfHZZyiHDUUMhRADQaKhEMH2IiLORiIdX+CvqiLxtttIuO44J6ykpITZs2efNJ77\n66/xlVdgvvZXSJQ/Xlpz79xF/1NPkfXmG4MW59+cn59qv9tx2224NmxEM2kScRdegHrsWNCq6etZ\ni/3XT4HVi+MeE6JqPAMdVcSPipJgnoPf34nFWkLSm/HISk8WjvcPjzJwYxjBDYkPy5HZjs8nPN6A\n8pTRhJ/agSAK+IujSA165A1RsMTso/3FUbzLE8nNuxmVL4H2m3+NxA72mxUEE2O0gPxD5+B9bR0Z\nL7+E/tj5jHo8tK5bTXtLE2Wle9CEwkzpHEDhcp80x2+QdOcdmK++Gq/TgUQqRaX95dkkp/MwB0qX\nAiAIchIS5tLfv5FJk75Ar4s9/ANBC5b+r0hLO49LNlyGRqbh1Xmv0nnXBpDo+cL3EjPuvYfh5uHs\n697HNV8e75hPVCfiCrpYsXAFF34RUwmpvLzyZ8/zio1XUNZbNvjZoDAw3DycaWnTeKLsCQA+P/tz\nhpiG0OftY+GnCzk993TOHrIYs/8gba0vYq09hd5Dy8id/yBKUzta7RA8nm+UFyQYDKOQy03IZHrs\ntv0Egv2kpJxFKDiAx9uMVpOLxbITo+wuho+7FI1Bgc22n4OHLiI15TyGDXvoB3W3S0pKaFwXM6e4\n7KGYBJrPHWTDS5V0NzpQx3fiG0hHFddL54KjyA5ZMNYui81OJrDgmhHkjfl+hZ+WSgvrX6pEjIoY\nk9Rc+MdJCL4wvqMDBBrsiKEo/poBpHFKFBl64i8e+v9ley2GokT9YSwvPIXtgw8YWn6Irj/8Aceq\nz8j58IMTqgTfh9p9PezdWI1KpsPW4yUajiKKUDg5mdOuHP6L53b252fT5GhCKkjZev5W4lXxrG1c\nyxuVb2AL2BhmHkaNtQar38rKia+T6UuhbFMJw5w5SJAQ/z9DeeuF2HVaPCONgS4PPU0O4lI0qLRy\nuhsdpOYbMSZpqNkd4xyn5htJzNKTkKGnYGLSSW6G+9Y00X50gN5mJxffN5m4H9El/7777i+BGBUR\nRRGJ9IflHP/R+Kz+Mx478BjukJssfRZ9lg5mlScQVUnJ7NMghmJqEFKZDKVWh9dhj9nN56vZllhP\nWnY+L8x7kTi5CZ/TgS7ezNcdX7N863LCQswKOxCJ0WM2L9tMijaFcDTMjA9mcGbemdwz5Z4fmt4/\nDB01A6x+unzws0ItI+iLHVtCpg5dnApTsoaJZ+Sc1IDa1WDn82c+xdu/hrAkhHukib4RKiyinbdn\nvcH2d96kZud2pAo5xsQkrB3tZBaPJBwK0d/aRDh4TJb12G85b+wEvA47PY31yJRKbn17VZkoit+t\nT/tvhIqKipbRo0db/tXzuPPOO1M//vhjs9lsDqWlpQXHjh3rveCCC+zXX3991sDAgEylUkVff/31\n1rFjx/p/fLSfh4qKioTRo0fnfNey/+jM8zcWs+vefYFRo6az//NPGBiixDA6n48WvjHIr/z7H6wg\nCJz6/9g7z8A4qrNtX7O9S6td9V4sybJkuSL3bmyDC8WYYkwLHZJAIAkEEkJCC0lI8lIDoTfbdAw2\n4N4ty13d6r1LK21vM9+PNZKFDTYB8ibvl/uP5dmZc86cmTnzzFPuO3E2ayvX0uRsZtGtdyLAoEpf\neZId5YIcPmjdx6PTLkEdWUBuj5n8GUOhbGdHyJtnjDWjsGiJnZVF8d7PWNY7C3VlAGGUEKoS+Bp4\namx0v96G5B6Fq/gogsqIoA1Hpo9GphXwVe9DlWDBuGDBsDzFb4Jh+nQM078+h1sU/QiCbNCDaZg2\nFcO0U0Vlvs0LPO6RRwj+/Oco40L5wpIU5MjRH9HbuxP9T+IIe0Qi/H88tP/8M3SZkJf7ASbTaPx+\nG4V7zkNW0otrmhznNB9hA5nIVteg6BWIuPsm0nJmIQgKlLNM2PZvRPAKDBzYivTxEYIHd4JGhnHR\neQgbNqOIjECVlUTTdVMYIbnp+eNTKB910pJyP6paAVVd6GJYH/AjjEhAFZeAe+8X6GfOGDScIcQd\nnnrpFaQCsR++x6dvvsje+AhmX3EXCUkpBG39BAf6ken1uPYXIdPpMF1+ObvXvkHh+2uRkIhKTiM5\nfyzjFi1FH27+VvNpNA4ZOPn5/0CrSaCr6zMG+o9gNGTj8bZz+PCVuFx1qNXRWDVWGu2NCDKBqJ+O\npeSe37FmQjHXhGcADMuVzrPmUdJdwl9m/4VR1lGsv3D9WY/rlHGeFL5dkbmC+yfdP3iehzoPUdhW\nSFpYqKgnShfFO0veQedvpKH2QeqdVVit59LWvhJTdC8aczPJSTdh6w8Z41GRi9DqkhkYOIbP143L\nWYtOn0Ze3lOEhQ2nRTx46Ar8/nfQmX5EX98+ikt+jEIRTlbWb89KRvqqh6fASZdHa1Bx4d3jeP3B\nd7B3RpM+uZW5l1+MLTCP3zZeRExkHhljMpi4YCZFtn08vvHX/Gbyb4gzxOH3D3D7pmvJjZ7Jj8f9\nhJQ8K3NWZbP51XL6O90cL+wgZ1ochoJYDAWxIQPKEwhxf8uF72Q4AwhKGXKlCrklAsnjwb5pE/3v\nvoflhhvo1ydRt7uVrHNi8HkCFH1aT2xGGDqjiva6fsYtCAkgFX5Ui6MXHDhIGxOJOVaHUi0n9zRp\nDGeLlt5mkhutpCclc7PlWnRNAlKqyALVLFI6dGyx78Tp8DHGvIwp9tFEvObDQyM5hgzWRG2gNqmT\nv+Q8OdjezCuykMkE6ou72fH2cdra+5m1MoucaaE1KH5EOAazmoTsb2ayKFiaRsHSNDxOP5rTSKf/\nkBBkAgLf7XqfDsFAgLaqCqyJKaj1+mH3lCfg4c+Ff2SkPJkbx92A71gjRZvfA0I1IzkzZpOSP56G\nY4cYf/4FmOPiaa0sp3zXNo5t/pwLKuLoPzzAr7ZfTHKHHrVPxqgrL+ZP7jcwyU0syV6CKInUDdSx\nrWkbRzqPsDB1IRW9FTj9TsZF/+vUJBOyIxi/KJmATyR7cgzWBCPF25rZseY4Ko2CgW439ce6CYvU\nkjtjaI3sbXXywZ8O4XMcQ6MzIqSYUB5pxHjMRlaYgRffu5Gg30dCTi5ak4nje3cxdcWVTLo45Ijw\nOBys+d29OPt68fl8jJ2/iLIdW3D124jLyuHy3z3OHa9//9f9B8eHtyXSWXb2jAdng6gcFxc83fRN\nu2zfvl23bt06c1lZWanX6xXGjBmTM3bsWNf111+f/Pzzzzfk5eV5t2zZor/llluS9u3bd/x7Hd8Z\n8B9tPFsSkug3BKjfuJ36jdtRqNXsSG9mceRFg4bz1+GSzEv4pPYTLv/kcp6Y/QTTr7iGsp0hLtuO\nkUremP4Yy9ctH2QaGB89nrmJNwweX11TRiSQmBQyEMI14Xxq3sHt7ZfT93YlrJDQjwtVkUuSxMAX\nDShjdOjyowi6PHQ9swdJlJAZtajC5iM3KJAbVUg+O/bP38R8xXQsV135vcyT291IZ9fnNDS8QCBg\nQ6WKIiZmGRnpP/+O7TbR2PQSGem/oKdnB42N/0CuMNLbu5PMzAdIiF+FO+EIDVdcQeThTDyjRTwv\nbaW38DHkERGMXvUILZ5bSLvwIVqSt9HR+QmWx6cQHXMJURnDuTW180JzH3P+9Yh3O+l69xXUiamE\nzzkP6ZEhT3nttm1ETpuG4BVw7tqNfMdR8AcR5qSRft/z9H/yKY6tW/FXthK+fDmWm2485by+xIgL\nLmaZ0cS6V57jk/fe4Lzb72LkwlB+cG9rM0J2JvoIC2sfvp/26uNkTZ5OeEwsjaXHBnm/FSo1Yxcu\nZsbKa89qTgVBYPy4NYiil4iIqUiShEplpaLyPrq6PsfWHwr5y2Rauro3YdVaOdQZ2qaKj+XjW6IR\nmyyD93+MPmaw7f+Z8z802ZsYGxVKe0k0/fO0SXeMu4MscxY359+MQjZ8GXli1hP4gr5hL26rYOdA\n8fVoNPGMHv08on0iu9oOkDhpGxERM0hPvxtJkujt3UlY2PizruaPjJxPVdVDHDh4Kf39BwBITr4F\nufzslOiU6lOjQ4IgcOEdM3A7BohKCH24Rqq0tBvUWGY/ix8nhaV5bGov51C/kuUfLeWm5AziA8Ws\nUHsobC7GlnMV4ZpwsifHkjUphjUPFVG+p23QwAPweYOn8B9/H1BEhIzG5tt/jCo9Hcttt/Lm7w9h\n7/FQuqOFgR4PHoef4m3Ng7zKjl4v2VNisfd6iBknMPeCAsIitd/aoO92d+PZ1o5RbkBuVCEoZHTt\nL+UXrddAK4CDbkoQ1HIkX5AItY6LffOgeygCapyViCbTjCrRyNg2D69uvYOF7y1kzpQLWZ65fJA7\nNyXPSnymGVuni8iTJMezv5J2IYp+uro+JzJyITLZqa+8f7Xh/EOibMcWvvh7iHFCQCA2M5ukSRPJ\nnDKNze3bmbRbR2yvg90f/gUAjdHEOcuWM3HJUEF21uRpg38njMwlYWQuYxYspq2qgt0friasvQ8x\nLYKu7lZK3nyXvBgZyXYz2f2QNWUmsdNuYfraGRztOsrC1IXsbw8VUE6M+fYpjN8Fk5YNTxPJm5VA\nVkEMKq0CSZJ467eF1BzqHGY8txwP5SRLwW5i0kdy0a9+xU/XXE/Y5hbMfS78J/ZrKj2G1mgic9I0\nxi+5cPB4jcHA1Y8/iSgG2bZ5CzPnz2faZavobW3BZI3C5/tfd+T+R2H79u2GRYsW2XQ6naTT6aT5\n8+fbPB6P7PDhw4ZLLrlk8AL7fL5/+RfJf7TxLBfk5N/1I57c9kdixXDOG3U+tsZnyLXmnvHYtPA0\nVi9ezW2bbuMX23/BRxd8xJQVK1lT8y4xCbGEqcN4bPpj/Gzbz7BoLRzuPIzL70Kn1NHubGf/0V0s\nECaTnz20IByOqsLZ6UYvavG3OmEc+Dtd9K+vw1MRUqVTpYbh2HYAQWnEU/gMyS8/ijI5edhLyrJq\nFAqr9ZQxnw0kSaKx8XkiIxdid5TR1rqWxop2+qrm4Bv4KQIRyBQu6kzl6FbuJi4p5Hlur+3nyMZG\nZl2ZfdqXiSh66e8/jEJhQq/PBCSKi2/D7ijF6ThOn62QkAtPxGqdR0L8KgRBQDduLNrx4wnu60W9\n0U1P7wsoY2JwHz5M0GZD0GgwzZxPuP4C0tL9X1c1AAAgAElEQVTuQKtNOeMLW6bXE331bYP//+r+\ngkJB5K23EnnrrQQdTjrXPItl8UqU0bFYb7pxWArMmZA6dz43TZ7Cm/fdxeaXn6N460a0BiPHC0OF\nlekTCuhuqGfxHfcMe+m0Hi+no66GI59/St3hA2dtPAOEhw9F9ARBID3tLsor7qWndwcKhZEx+a/Q\n2PQinZ2fkqBbis1rwx/0o5Qr6XB1EK0f4tj90rCNVcZi1Vqxav+5++qrSA9P5/axt5/2N4VMMdiv\nx9NGe/sHNLe8hSAoOWfiJyiVJvbtqkGQCejitqHXXTx4rhbLmVXQTkakdT5VVY/gctUwIuM+IiKm\notOlfbeTA4zhMRjDY4ZtS7eO429thVwYmUyGvZjZRphhUhCQPKh9RZS4ZQwEFUwxBNhS+jsuGv/E\n4Hkl51o4srERvzeIUi2nqbyXj/92hMU/zid51NkXUQWDIoggyEMCDK1VNpz93kG6NwB5RAQubRSt\nsVMxL1tM54Zm7D0eopKNdDbYiU41cc7iVHasPo5cJSNrXBQlO1so2RGSJDdGQHjUqU6m4IAX26d1\niO4Aglwg6PbTGNmFmKBCavPi14scKN/LJa3zsDNUGGVFx76IEqYGxiE3azDOSMBT2YtMq8A4MwEU\nMoJ9nlC7Kjmqk4ro5ibN5eFpD/Pr3b9mrfQCKSYz2dKVg8+8Ui0fZjh/CUmS8HhakMs1NDQ8T2PT\ni+TlPk1U1MKznuv/BAT8fmQy2aDQVuvxCjR6A+MXX4jHYafi4B72vfoqn7/7Ig2xLkb3msg/93wS\nc/IwWqzEZWafoYcQIpNSiExKIW/OAsRgALlCSVHdHnY8/GdSbVr0UbFU7d9D6fZNaAxGFkYlUeXa\nz8CYAd6vep+M8Izvbe35LlCdEI4RBIGM8VEc2FDPhr8XM3Z+EjFpYbRV21Bpgnj6+tEYVcgEGY9f\n+CTPr7+KpHGjyZk+B11YGJaEJHRhX68MKZPJkSlD71G5QklkUgoAtXX/+MHP8QfBGTzE/0qIoojR\naAxUVFSU/W+O4wczngVBeAlYDHRKkpR7YlsEsAZIAeqBFZIk9Z347V7gR0AQ+IkkSZ+fTT8X51xC\ndlQOd22/i8cbQ8IkE6LPLp0o3hDPH2b8gcs+uYw/HfgTv7/o99z59t9YGhaivhofPZ6tK7ayu2U3\nt26+lZLuElLDUrn+i+u50bUUwapCrxnykH20Yh3SBUHsr1ThretnYFMD9h3NgIRor0fQJ9L2u21I\n/j4ETSyp7z+Pwnzqwn8mw1mSvNTVPYnFMhOTafSw35yuaqprHqe65nG8AzE0bf85AbcJAKVGJG1s\nHB6Xj4ZiAztWV3PZL6bitHlZ/9xR3AMBrElGcudoEBBQqaIQAxIuTwXHim/F4wk9P3K5DplMzUCH\niYHGSxDzPiAubhkZGffg9bZjNI4aZtCGLVtK+28eACD20UcxTJtK1fQZuA8eJGzZMuQnRGt0um8v\ntnEmyA16Yn9093dqQ63Ts/inv2Dvu2/jGuinu6lhUDym5kAhE5ZcNMxwBojLHElc5ki6G+qpPrDv\nO/UfG3sJanUMMnEErZVO2sv1BJzXY+9wEZ0UEl7o8fQQo4+hw9VBgmF4iH3HpTvYv2f/dxrDt4Wt\n/yANDX+nu3srEOLoNeizUCpD92LLcRtRyXoEhQ3lN6jYnQlabQLnTPwYjSZ+sO0fCvmR+Wyo28Ar\nLQ6uz/sZo6WjePo2E2EaS3j89RxuLiFWHUZ7+98w2j7D57sflSoCSZKIzwzn0OcNtFbbQIIda0IR\nxk+ePEr6uEgW3njmfGRbh4vVD+0n6A/NZ2SSka7GkJrgl8IlAPrJk+k+7yc09phpOuxBkhpR6xQs\n+ckYvK4ARosGQQCjRUNUkhGNWs7Yc5M49FkD/eW9jCwS6fFXoBlhJmj3IjoDIANnUQcERRTRegiI\n9Ln7iK3XQBFwQvI+lXnUqVu4O/nPRKuiyArLpKynjAmZk7howoRQuoJChvYrHwyy6K+PNCxNX8qS\ntCVc9/l1PF70OK+Xvc6chBmcawnH172FnNzfYTIOOUwkSaKq+mGaml4e1o7H03LGOf53hhgMUnuo\niJ7mEKOU2z7AsU2foVCpWHzHL0nKzaejrpro9BGkL5zDntY9vCQrIapTwdSD4YyuNmGOj2fmymtR\nas4uMvNVCIKAXBEyCiemTiH/yTHI5Ap27dnDtKlTaTh2iMo9O/Hs2obU6eMnST+hxdHCC/Nf+N7m\n4fvCuAXJdDc7qD3cRWf9ACarltYqG2IgFMmr3L2DvNnn4nU6CHi95M1ZQMbEf47XHkLqtS0tp2dv\n+i9Oj5kzZzpuueWWZJfL1eb3+4VNmzaFX3XVVV0JCQm+l156yXzdddf1iaJIYWGhdvLkye5/5dh+\nSM/zK8BTwGsnbbsH2CxJ0mOCINxz4v+/FAQhB7gMGEWIbHeTIAiZkiQFOQuMso7isemPsWpDiNP3\nZM/bmZAVkcW1udfyQvELGJSGU3KzZIKM0ZEhA3V/+R5e7HgOv9dDvpSD2hpG7ZGuwaIhjUKDJBOx\nB3vwt6jwtzjQjLJg/+SP+OvLCVtxPb5mIzJtPFKgG7ekpPNwJzK5LJT9dsLelMkFIhONg1yiPb27\n6Os9RFrq7fgD3fjcf6W6qp7GphcZP24NBkMWwaALl6sOh6OZtqKrMadU03HoKkSfnLSxYYydn47B\nrMZgDi2an7zwKg2H4qgsWcO+dyQ8LhPq8E4ObPBTcawQnz0anz2aoNdEeMYWYnKMaIPP0tcqMdBr\nJ+gT6G8L0WaNnjqXnJx5IUYJ9akFVKaFC+l46GEknw/95EkoIiMJX7ECf3Mz1h+f3nv574aolDSW\n3T08d77wg7UEAwEmLrv4a4/ThYXhHhgYlBr/OnicfuqOdmNNNJziSRMEAa1yEu8+dgB778k1ESux\n5m8GXTNVfVUh49nZwfio8cOON2vMqGVfn8YUCNiRyw3fOef2S7hcDRw5cg1yuY7k5JuIjjqPqupH\nSIhfhdPmpb2un876AXJnm/EBKuW35wo+GUbjyO9l3GfCotRF1PfXc1n2ZaSHpxMMenC5ajEYRiII\nAnfHhryaL3iqsNjf46NtBbzUrcWGnrUL3kWpkfPp08eQRAmtUYlCLSfgDVJzqAtbpwuvM0BrtY34\nzHCikk/9EGgo6SHoF5lwXgrdzQ7qj3Wj0SvxuPy8+4cDpOZHojEoEYMSPaoEolPlXPyL8SFjWwCF\nUj4sqpSSZ6Xvgyp6i9oxXziCGYuS6ajoAQTcpT24j3aFdgwpoaNODyN8aTrKaD0BMcCV7y9iUecU\nLpAWIF8SjeQNYsLAOQkTuKtRRnF3MZW9lfSo+pmfPB/ZGWjeTgdJFOltbaG95jgXVWYzvj6AT9ZL\neOzHVOsCNG2PY2D575i//G3a2t6jq3szlojpNDW9TGzsJRgNI/H5uqlveAaXq+6fuez/Fji04WN2\nvPnyoNAXgEyuIHFUHvbuLt575DfEpGfS09RA0vnLuOzTy+h0dZIRnsGfF/+ZlZbL+FHOdVw7/sZv\nXIe+LVTaoQiFQqkkfXwB6eML8BhliBs282nLIe5OuplYmw5ivqGh/wVUF+2kq2Yt5916Pxueq0QM\negm4d6NUhj5s1Vod7z4UIggIzfXob2rujOjt3Y3P1/Wdx/3/E2bOnOlauHBhf05OziiLxeLPyspy\nh4WFBd9+++3aG264IfkPf/hDbCAQEC688MLe/zPGsyRJOwRBSPnK5mXArBN/vwpsA355YvtqSZK8\nQJ0gCNXAOcDes+1vTNQY5ifPJ8ucNWx7W1UlxVu3MP68xZjj4hAEGR6HB0GuQHMi3/Cm/JvY2LCR\ntyreIlYTTfJuOWJicDAUFqYO40LNIpZ+MZYL+NIwkaitt3N4bwfn3ZKHLkyNPkxNcM8m+l7/C6Zl\nd2C5aibeykI6j+7DfusTOLJyGHlTLGJ5K32eJN64fy+i+DVsJ4JEWHwjqohDuDoycfeko9J9jiQ5\n8Np/jlofJDx9G+/vWM+C69spO/oMtnYRi3Ui/XXT6K+bhlIjZ/kvxxGZdKp3O292Go2HXWx6KmTs\njlnWgDu4icpPfkR/3TQsiV7MMTa87l56qudgq54DhAjrDeYI1DoZlrEqag934bNlfqPhJTeZMC1a\nhKfqOMqY0Aoa+7v/fNqeggtXnHEfrSkcSRJxO+zoTEOMJgM9bra/VUlnvR1rooG2mv5Bj+LkC9MZ\ne24SgiDgdfnp73JTsqMFp83L0p+OwWTVIMgENry4jt7SqSRPK+ahfQ/x2qLXGPANnNXHo8NxHLu9\nBL0+g6IDF6PTJRMVdT6WiOm0tq5FoQwjc8TZV8ZLkkhv3x7EoIum5tcBGRMnfIBGE8rxHTf2DQ5/\n0cie90PpLnKFjLhskfouUCr/PSWKv4oITcSw4mO5XIPRmHPKfktH3cXaYwEyPBu5M8bLK91+Cnv2\ncuHPFlC6s4X4LDNpYyJx9Hk49FkDZbvbeOu3hUgn1oKYNBMX/+LU6FnL8T5MVg0FS9Pwe4Mc+ryB\nkVNi8XkCFG9voeZgJz53gC8JlHKmhbjqFV8xWiVJwt/uQhDAWRiSoO57r2rw98apQSYtmEJwwIfc\npEJ0+fFU9qGfEI1wgh3icOdh2p3tjDpvCmkpU04Z64qsFazIOvPzcTqU7dhCzcH9yORymkqP4bSF\nUkBkChlaixvBI9FXFDWYGFK2zo7HNR+/vxeFRqI7bhNqdQxZmQ+eEPWAvr69/3HGc+vxClory2gq\nK6b2UBEy+dDrOuOcKYw5dxGxGVn4vV4Orf+IprJiZHIFrVYPne2dXJJ5CT8d91PC1GHsuHI3Cpni\ne/tAPhPy8qZQt2ELV1aNpf2L9Xxo2MlNz72GQnlqSqCtox2DOQKF6l9L27f1ledx2wfY+Nx9pOaO\np2LXRiwJSdh7g6RPKGDWVTfQdrycYCBAWFT0t1IIPh16erYjk51KY/hffDMeeOCB9ieeeKLVbrfL\nJk+enFVQUODKzs727dy5s+rMR/9w+EGp6k4Yz5+clLZhkyQp/MTfAtAnSVK4IAhPAfskSXrjxG8v\nAhskSTqF1VwQhBuBGwGio6PHr169+pR+Xd2d2OqqMSXm0LjThhiIRxL7ThxvQJBpkCQRa04/5hQ5\nCq2WHqGf/Y79TNubSLY0lhYakJ9/oqBKgqh9IvIBiQqzndjwcJRKOHLYh8s3tKDJRD+5wmas29fh\nmjoV+6orMbz1Fm1tVhrjT8j7aiG+QKDzmITfLWLJ+SsaswsQQAK/R4VCqcPZkUp/w1QCriGDS66y\no42sRWGKwdUcjS8UsUUd1oy3Pw6QoQ5vxGtLQqaAxGkChpjTL5aSJGJrrKK7NAVLppKIDBmSVE9/\n4wAyRS6meNmJ/SSc7RDwgsoIOsvw9o6vE1EZQB8l4O6ViC8QkKuG7+NzDGCvqyFixEiEfzJceLZw\nOBwYDP8+kre91RXUbfyEmHHXIFdFEPSBdwA8fSDIQB8N7l4wxkF4qkDPcYmBxtBci34InORoDkuG\nhMlDXiNnz3bqN05Hld/NU7qHiVRE0hHo4CrLVUw0DC/OOXleJKkbUXoYGADGACVABlDJl7zHAAJL\nkGgAZMiEWxCEU7+1JcmHxC4kaRMwpPwmCBcjE84b/L/XLlG9XsIYC9YcAY0ZBFkJovRXZMK9CELG\nPz3H/yzO+l6RIPagDJ9Roifr7NdLSepDlJ5GlOpYPzCBZeZbTrtfxzGRoBf00QLuHomeSshcJqDU\nDj1HQb/E8Y8lTAkQf46M0xE1iEEJSYTG7RKubogZK2DJOol7PACWKgF9h4DSI5w4NYnG6SIyP+i7\nQmtQY6ydenk96/vXc27YueRr8weNrqAUpDfQy4b+DRx2HuaxxMe+MarxbeFzDFD8xgshiWWtDkNs\nPMb4CAT5J4SldSGTK5AJ9+J3Wfh4z9NY+1UYu4YHKLOWp6K3jkYQhkRhRPElJMqQy/70T4/th1pb\ngn4fUiCA4iQvrrOzjYr33gRAkCuQggFMSakYYhMQfT46Sw8j+nwoNFoiMnMI+nwkTZuDoFDwSvcr\n1HnreDD+wX+ZsfzVufHabJS8HcrvNSWmMNBUjyU7F3dPF5lLL0V+wlB2drVT8d6bqPQGwlIz0IZb\nCPq8KHV6LNm5iAE/vVUVCHI5Sq0OlSkMTVgoUvVtKFVPhtc+QFvRbnoqS1GZwhD9fgJuFyqDCZ/T\ngUKtZsTi5egizz6CfaY5kSQRUboHSGDe3A/+S1X3LbBkyZLUqqoqrdfrFS677LKeRx99tP1f1fe/\nJVWdJEmSIAjf2nKXJOl54HmACRMmSDOnzxj0hgC019r46N19+LyZ9NWYABMavR2DOQK/14tKHUSl\ns9NWJdFTqqXj0FFi0uDSB+5lBSvYteMDDGqBLFLoabMQNzURqa4fX38dR11BmvtMNCOi0sjx+RRE\ndxQR2X0UuU5LWcIyGh2pWAGL2834WbPY9cynNMbPI2tyBDlTY9nyWi0N20LRhdSp+1BGVxChv4iw\nyHjaasrodu7FmpbG9EWXE2YcR19HyEPU321HZlqPxbKUoqImptw0jeoDnRzbdYj+tijy58VwdFMn\nXlsSEWm1XPbzH53FwjLn207/8GshiniOl1FzqBNnR+hSpsXkkTp6KGfbaevj1Z/fHuIEVYYUF39I\nfJ9crN8HGq1m6jZ+Qk+VE40+EqVaTkSsDutYI6NnJ2CyDPdESKLEwc8aaK3qC3GRxujQh6mpO9JF\nwbK0YVy0ra1dNO/uJk5K4Y7xd/DEwVCB2rKJk/B1v49criPSOo+IiCls376FgoIRKJUmDhxcgccT\nJBgEOEJk5AJG5z2D291MS+tqoqIWcvjw1QQC69Co4/B4W0lKOkp6+l3DxjowUExxye14PM2YTPkk\nJtyDQmmir28vaal3IBM0NFf24RrwMeB0g1THuddGYIlJQ6k00dbeT1kZFBTM/UHy3c+Es71XnAfa\n6euuQt8tMOrqychO4oUVXX5EXxB5mBpBEHAe7ECQC2hHRyLIBLy+6ezcVUCYspqZM2cOPpOSJDEw\ncBiTaQzCrKH1q7vZwZqH9iO1RhGbayFjQhQDXW42vlSG6LeT36ck/PMQLZ0mx4KglIXkqU9K8yhR\nt7D9rUrOmZFP4sghr373yyV4GvvQ5FhQJ5tw7GrBNC+ZxHOGx9N7tm5lp3MnTb4mXux6kcmxk3lk\n+iN4g15WfrqSHk9I4XFO4hwWzBmuTvldsf2NlxAQ+NHfXiAsKmS8FBffTk+vgxEZv8doyhvMb35X\n+TFVbju/T7prcH1f/cAvsMimMHn25cPabWyqo6pqN2npdSQlnn3x7sn46v0iSRKl2zbRVFZM1pTp\npOaP/8aUiNIdW+isq2b21UMFy02lxbz78P1IksTc624mf/559DQ3saNwe0ghVSZDDAQYNWseC2+5\nY/A4r8tJY/FRDq7/kJZjIYrHmOgoFtxyB6989grpxnRmz579T50nQO2hIpQaDYk5Z87Fh+FzI4pB\n/rryQvThZhbddheJuXm89NMb6akoASA10jwoHrb6gV+CJGEMN2OrqqDLMxR5F7vb6ayrweOwD3Uk\nCKx67G/UHz3E/g/fYdnd951VOsVAdyeCIOPw559S8tE7g9sln5fZV99A7cH91BwoJHHUaJbdfR9q\n3XeXTT95Tjo7P6O4pIfcUb8BPvjObf//hHXr1v1bhoz+1cZzhyAIsZIktQmCEAt0ntjeApzMm5Vw\nYts3wtPmpPp/DjPizqEcz8I1VWhEFdlGE7EqOVpJQB4Viy7LiqAS8R4/huvAPvKEVIr9Klr1E+lq\nFdn6+gGmXjIGfzCU4uAXg0Qc6abtYBcRChkehYzmoI+LroqhJxDOjrcrAYjp2M/IG5dgXrEC8cHV\nFCuzqE86l+TibdRdehnVqvMxaTwoU2+iqtXPtGvuomp3PCr9AIHwl+mvtTLnmkeQKxTEx9l57sZV\nmOVLCJ8aOqeI2NBDHDKarjtxlk2oNApypsWRPTkGCZDLZTRXbqGnCcacq/zBPQ4D3Z28evdthMeM\nYtyCS3D0lnC8KJLyXYdpr+rFNSAjItZIS+UxPA47CTm5lG7bzLTLrkIf/t1yXP/d4RrwIQigNaoI\n+ENeubQxehbfPvMMR4b4Xyecl0KopnYIWQWnJgyq1VHoInfRXhvJNTdfRUAMMDZqLM62p+g/QWnX\n2roao2EUolTNnr1eDIaRuFy1jMl/ieKSHxMI9JOSHPKIarUJZKSHiisnTngPSQqi06VRXnEP9Q3P\nYbHOIjxs6FmrqnoYUfQxdszrREQMhe776kay4dnj9LU7Gegecp3rLU5Kq26AKtCo4wZZMX7ItA1J\nlECUEBRfb9T4mux4a/vxtTlQxRpCDBAnwbGvbfBv19EuDAUhKjTHnlZsn9SCKCHTKVBE6vA1hAR/\njF1uwuYno1ZZCaqSyfA3Ut59jJzIfAA6OtZRWnYnOSMfJzZ2KGfeEq8nNd9KVVEHVUUdHFhfjyBA\nX7uL0aPMhLc4MM5KxNdiH8xJ9lT0EntfweAzP2p6HDFpJqwJQ+lavlYHnso+TAtTMM0KLbWG6fGn\nXSeKnEWU9ZRx7zn3IiHx14N/5caNIYPPFXDx4JQHSTImkWM5NWXln4XP7aJk22YOfvohOTNmDxrO\n3T3b6OzaQGrqHcTHDzeII3WR1A3UkTZ2yIkXkz6C2kNFTL54aF+3w07FhgH0aTOprn6cMFM+ojcc\nQdIQHh3HVyFJEu9XvU+ft48R4SPIisgiWjfkhRSDQSr37aJ02yYajh1GqdZQtmMLYdEx5M6cR1zW\nSLSmMFoqymguK6a5ohSN3jBY6Dft8qtQqkIRuG2v/wMx9BXLpn88Q/GWL+iorf5yJOQtHEvsKDOC\nrpWGxn+gVkUhyBQ47OUootRc8puHkIJQ+OFa9r23mvjsUXS5u86Kcerr4Bro54M/hNLqfvzK2mF5\nzWdCMOBn77urkUQRp62P+JGjkMnkXHTvg2x8/imay0toLi8lbsRImsqLaakoZcaV1zFxyUVIooi9\ntweFSsWzN15JY/ER9OFmRs9bSP3RwyjVavraWvj4iUfo72hHoVSx/qk/c9Ufn0JrGJ6aKIrBQZEy\nSRRZ/cAvsXeHnhdBJmPqiiuJTk1n3wdr2fj3EId49tSZLLjljtOmlnwbSFJwmBqsx9PK8aqH0GpT\niIpa9A1H/hf/SfhXG88fA1cDj53496OTtr8lCMIThAoGRwBnpAcY8Ilsqewnvs2JLlZPd7MDZ7OD\nOUYFghB6ACQkAs2d2DscCDIlEIkiZgkKYLy7ltSt93Eo/0rKdo+ibPcOxumUBCUJVXyAYJ+DcFc4\nVZ4gVV4/Yd2l2K67HW1qKvPT86isgVG/uh7z4tADUfDbVVT8che1acvQp8TRQxROWTxjC5pxB0LR\nj5r63yCLh8CJcwjTzkeuCF0GrcFISv5YKvfuZOqlV6JUDYVDv67g7GSFqqU/nobH6Sci9rt5lM8G\nh9Z/jM/tprPuAF0Nh5BEEY35FqqKahAEDXJVBpLkRwxY0VtvJXtaEs1lv2D/R+8y5ZKVg/ljhz6r\np3hHC/OvHUXciBD1j9s+QOGH75A+bhouRxiFH9USDIrMuyZnmCft3w1uu4/+bjefPVeMxxUgbkQ4\nPlfImIqM//bFUmeCSh2NzlrFQMNk+ts93DD6BiRJZMfxI8TELCNzxP3U1v6Nhsa/Dx7jcJSTnf0I\nERFTmTjhfSRJRK8fonbze4M0lfeSkJ0wqLyVOeJ++vr2UVZ6N/n5/0CvT0cUvQzYj5IQv2rQcO5t\ncxL0i2x9vQK/N0hcpolRcwO4XHUc+zQefeInREWdh8mYS3vHx/T27QJAofh+WTJEXxBnYRvOAx0E\netwIchnmi0Yg+YL4u90YzolBUMuxVAp4Em10v1gSMrC1CtxHuvAc70V0B7BePYpAnwd/swPTwhTc\nR7pwFrahnxiDr3EA27oaNJlmNNkR+Nuc+Fod6MZFIflF7NuaUMXq0eZayUi+AUXV/Rwv/xkjrRvx\nejtoan4VgAF76TDjWRAE5qwayTOqN9lh28Ki3lUEeuTMXp5B2O4WFIlGwhamIHqDDGxugICEY08r\nwX4vcoOKQLcbuVmDNcGI6PLja3Hga3bgLu0GuYB+Ysywvr6KPxb9kdd7Xmdc1DiWZy5HJVdh1Vr5\n04E/YVAa+PWkX7Mkfcng/pIkIYres+bVPuVaBYPse38NBz/9AJ/bTVzmSGZdHeJ0DwTsVFTch14/\ngpTkU+klrRorykY7Ab9/0ODJLJjKjjdfprmilK6GOjILplK5dxfFmzfCZrCMjKK/4RoatsQjkwus\n+vND6A0puFy1mEz5CIKCNzbeQ83+7ZibDRQK8JlcwqdRkiIm0L51A86+XmwdbcgVSlR6Pf7xsczK\nOZfq7TvYvfaNYWM0mCOwJibRUlk+uK2mqJDsqTPxOB101tWi1unJmjKDqv17Bg1nQS6SdUktsrAK\nOgaAgRNVm1/OOwICEm8WP43Xspz7LvwVrccr2PzSsyjH9BOVGHXGIuWvwjXQT1NpMcVbhoiunr3h\nSqzJKRjMFtqqK8mYOJnRcxdQsWcHPU0NjD//QpJyQ57fhmNH2PLycyEOfJkMSRQpfH811UX7MMfG\nc+lvH+PtX/+cA+vep+ijoYzMkdNmhc5ZJsNkjaT2cBFfJu4HAwGObfoMAKVGgxgM0t/RjkwuJy5r\nJE1lJbz38G8QgwHCY2KJTEqhbOdWBrq7mHbpKiYsuYiWyrJBwxnAHBs3WK+SlDeGkm2b0BgMjJg4\n+Rvnq6trI11dX5Ce/otTCuODQS9+fw8ORyWlZXcRFbUQSRpPT+8uSkvvRBR9jB/392FG9X/xn40f\nLOdZEIS3CRUHWgklQz4AfAisBZKABkJUdb0n9r+PkGs1ANwhSdKGM/WRkZgj3Xn+U5hNSowxeuwD\nPmJsHjI1cnyqLvwbn0Yz9hrkphSQPLYpia4AACAASURBVCCcusBLgT58tfvYI/cyYDmf6QY55hNq\nX3KTCjQiB4530+XxkFvyAmnXX4SzsBDX/iI0o0dj/sOjhCclEwz4cfb1oTZE8NZv9+Ea8IEEOVP1\n2IWfobO6KHsrDeQOokaYAS1dtR2suO9JolOHyNzLd21j/ZOhvLyk3HxGFEyl7nARfe1tXPX4kyiU\nyn9pakJnfS3vPHQ/F9/7IDHpoRxCMRjk2RuvJClvDEmj8qjav5cpl1zBvo9dtFWHlBdHz47D6/bS\nUtmPoy+AUiPHbN1LU1kFcqWWpNwcYkdkcvBzOZIY8rhOviCN9HHhvP3gBvxeDYIsDEEQMGnkiAoZ\nDoef1Hwro2cnEJ9lpqGkB61BRXTqkPH1befG5wmcIs/6bREMiBzYUM/BDQ2DRV+xGWEEfCK9rXac\nXX9h/PnLmHXV9Wdo6dvB5+thy8b51H76R0ZNS2DmFVm4XHXs2TuPkdmPEh+/AoezisLChYCeSQUf\n4HAeJ/obvB+bXyunYk8bkUlGLrl3wqCBZbMd4MjRa5GkALm5T6FUhnPw4ApG5z1LZOS5VB3oYNPL\nZYhBCQSJ9PN+jcrQzZeEOZIoR6WOYPKkz1Aqw/F6O9m1ezIAc+fUfP05Ntvx1g8gD1PhKe9FNzYK\nzYgTOY9BESkgIlMPXT9PdR/d/wiFh1XJJlTJRjxlvQROyLYjADIBhVVLoMM1eFzkzaNRJRjpeaN8\nkJMdGSFOZZWM6DvG46nsxfZRDYJajiAXEJRyou8afwqLRNDpp+eVUnzNdsIWpmKYEc/DX8xnsrIO\nrTYZt7uRkw2hUbnPERM1f1gbt266lZ0tO5FJclaYVnLpsfFoPErCl6VjmDzkLfU2DtD1zFFM5ybj\nOtpFoMOFoJQh0yoIDvgG91NYNOgnx2GcFs834dx3z0XwCaxZ9gJGjZWW1jV0dHxCdtbvMBqH5Ln9\n/n5kMhV19U/T1PQySYnXEhd3KVrtqcI7ohikbOfnNDeuwxStRKPMwtevQ2eMpXznNprLS8gsmMqE\nJRcRk5HJkaPXotelEwg6aWt7j4kT3juFkhPgxQ/+gG31TkYvXsK8lTdQtnMrtYeKqD1URMAXkohW\nqNVo9Ab8Hg+Jo0ZTXbQXBFAb1HjtXlJmOUmaGMHAwBEUChO2qniqN0ogCeij/Mg1PgJeAbddheRS\noNRoMMfGEDY+meoPt+BQSOg9ChwpWqaOnAMBCa/LiRgMkDRJTWf3p6BuwN6ip+OQBVenjsxJ01hy\n5z3sePNlij5+j4lLlzNj5TUAlGzdyPHC3egzDqCMqCEn5zGMxlx0uhSOtW5hfc0HHOw4QK3LzS2J\n0aRSx5/aNYxLXMY9eXfx3kO/prepEVVmLPI2JzNWXkvu7PmnzN3J6GqoY/NLz9FaWY4knShaXn4F\ncZnZ1B89SEdtDS2VZai1OjwuJ0gSgkyG1mjC53Zz+e//yLq/P4Wt9jhh0THMvvpGYtJH8NxNIfYr\nhVKFKIrc/soamkqOUbl3J5aEJLRGEyqt7hSazw8e/x21B0O+s9tfXkt3UwOrfxMS9Bq7aCk6kwmn\nzcaRLz5FJpMjBgMoVGrEYBAxGBjWlskahdflJOD3ETsii+ayEsYsXMzca2/+xjn5KpzOGvYVhgST\noqMWM3LkY8jlWlyuOurrn6W9Yx2S5PvKUXJARK/PIC/3afT60HteEIT/5jz/h+Cbcp5/0ILBHxoT\nJkyQHjvvf+jq8RIERAEKtHKUohPvpz9DO3484Vfej2N7F5ocC7p8K8oYPfIwNa7SHmwfVsMJhgNJ\nEmn2Q5xSoMVRhlcfYPT4eQS63Pia7IiOdmRqE6bzRhI2LxnvQD/r7nmMCCmKiQ+t4pO/PU5bVQWL\nbvsZgUAGu96tYu7VI6k7uAaP4R8gSAgdVzBh8UXEjshCEATE4BCjx5fw+7xsf/0lFEoFNQf3Y2sP\nhYwjNYlMmHchCXHZdO2tJyzJimXlSES3H7nh7KqU2yoqUdtVyNpE5BGaYS9SSZJw2vowmId7dj9+\n4hGqCvcQk5HJtMuuIjw6Bnt3N2sevIcld95D5qShhW/bmxWU7mzFYFZz5UOTkZ/winc321nzUNFp\nxySJHjTabbjs6chVQwU+lhgBvctJfFBPhFJAkmTUa5TUOgJ4nH5MVs1gSsC8a3MG0xq+jfHcUT/A\nu48d4PxbR5My+p8j8B/ocbPhuWK6mxxkFkSTPjYKS7yBsEjtifOT+OjPD9FYcowrfv9HrCfI8r8P\nSJJE0YFl1G6fhq1+IqsenoLd/TmbXj2ESprHxXdPQSYX2Lt3Dh5PHHPmvPmN7XU12Vn78NB1Ou/W\n0bRV2RAliWnLR+DxdnHs6I04nKWYTGPp7z/A9GmFVBV62fZWJZZ4FX0ddiLz3iFqZDHx8ZcTHjYB\nk2k07R3riDBPGXyBADQ0PI/H20q44ko0BgOmyGgEQcDX4sBT0Uug14PrUEeokFb0Ues4igwZ2eNm\nEHZOIv3r60CCmJ9PQFDI8Nba6HuvikCPB+OcRExzkxHkAqI7gLfWhjxcg9ygpP/zelyHOrHHihjb\nQvdo/CPTEE4o10l+EXd5D94aG6pkE5r0cORhaiRRwnWkE1+TnUCHC+PMBDRZp4+ESP4gve8cx32s\nG0GroF3TzWfJz7Aoy0p4+Dl80d1LR9tbTDOEXvZf/YC44MMLiNHH4BN9pJdYWNW1mPCbcjClRp7S\nT8sDe0AEmUGJaU4SgR43oiuAMkaHMt6IKt6ApBaQkE5RgzwZTr+TSW9NYmXEJCbqt5z0i4zoqPPI\nzf0bTmctjU3/oL39AwRBRTDoQBIh4FYS9AlYIyeTN/ZxRL8QkoeWS2x/+68c+WT3aftUqNTMv/F2\ncqaH8nPd7kb27B3K1U1OvnmYEqrthNfRaLHy9/tuwVkT8nJa4hPpbmoAYOyCxdQc2k/OjDnY2tuo\n2L2dKStWklkwjXV/eZTo1HRSxkxg04tP4nOF1hCdWYnaoKC/zQVaP7KAQMCtQK4OkjRZgS6tGrkQ\nQKYYel8GfTKqgpnYyy0oinoQFQJhkW4SCiT0VjlBeS3efhVqRTLoq5BEOPZSFkgKFt1+F5tffBaf\ny8mNz79AkA60mgSUygiaW17n+PEHSUm5nfS0Owf7u3njzexu3c3MhJn8ZNxPSNFb2btvLv6AnUq3\ngFcRQ17sQl57Zz1jayxIQRGlWsP1T704jOnH7/VQc3A/9UcOoEr9ArejjY4D6WSNv5iU/HGoNBqs\nScPFqgI+H3KlkqbSY/S2NDOiYApBv5+X77yZgN+HIJMzZfnlTFhy0SBrxuHPP0FnCkOuUPLRnx7i\n0gceIyFneDqJKAZpOHqY2MxsNPpQcd2rd99Gb2szi+/4JSPOCUW1SrdvJjw6lvjsoVSh9U/9mfKd\nWxFkMtQ6PXGZ2ejNEYyaOY/O+hq2vPTcae+5BTf/9IwfFABNza/R2bEet6cZr7cNkBEXt4LW1tXI\nZBrM4edg6z+IJInExl6I0ZiLSmkmPPwc/H4b+/bdR2xcCpkj7kMuH0p9+a/x/J+D/7PGc35SjvTZ\nj18lYuVIvJV9DHxeD4C39SAK+TGS/v4cKJRIvuCwIp+TEejz0PXCUQI9HgQh9CItce2htGMnky66\nlKmXrqJ/fQn2HUOKWaZzkynv30d8YSj3cXf/R7T31SIhYk6I54r7/oykU6BSK1j7219hSS9Cpg5j\n+pK3UGjPno5HkiR6W5pRq3T0PlGMjJCh7VS60PuHHsa430xC9g0yv8c2fUbR6+8wI3I5WoUB6UTQ\nz3pDHpr0UKrE9jde4tCnH7Hy0b8QlZKGvbebnW++QvmubYPt5IRPpt/XTZu3FhC49R9vDaPv6Wlx\nULG3jcyCmFO4iv/+0+0EvEFmr8pGZ1ThGvBQdaAZU0QX0y9bQFPpMXa9cxS/P5b8vChi6vxIngA2\nQw87K98hP2seSfYM5JkmOtRqjtf0o1bIcDn99PZ4UGrkaI0qBK2bqOho5l0zclhKS3ezg7ZqG7kz\n4geNpC2vlVO+p42U0VYKlqbRUtmHPlxN+rjIM+aM2zpcuO0+9rxfTW+rk7nX5AzyfftaHQhKGcrI\n0Nz0tbfy1v13E/T5hr3IgoEAe999i8Sc0SSPHvON/X0devv2UrjjTmo/e5ix85LRxn/EnldC8tsJ\n2WbGL0zGmhpk754DzJ495HGuOdxJy3EbY+YmUr6nDYVKRmtVP63H+7j0/nN467f7OHlpuODOsTQf\n7+PIxkYsGaUozJuRuS4gImIyRzc3EZclwzL2AXyBdiKjZpIz8o8olWFfHe4pKNu5lQ1P/RkAtd7A\nOXMuIqEhGdHuA7mAYWo87aoGdrz7Cva+0DquVRgYbZ5Fsj6HPl8H1oVZaN06nPvakBmVRFyajSbj\n69W/AIIDPnYe3MMETSaCWo5+3HerrD8dJFFiYGMD9q0hcaFmVQfZv5xLh7eTGzfeiDzQzX2xIeNt\n9KTdROpCH4CSJFHwVgHLM5dz+5jb2fbUWqJ6w4j8+TiSTcmn9NP9ehkERMzLM5EbT7++3LrpVjpc\nHby39L2vHe+xrmM8u2MFy80hLuHo6CUkJKyis2M9Tc2vnPCaNyCTqYmOWozNVsRAo5nqL5R4nc7T\ntinIJCQJjAluFt50J15bBMj7sPs3UnN4J6l5cxlT8BsUitB60dj0MlVVDxEffyUadTSJiT9CLldT\nvPULdq9+fZC2Tm+OwNnXS3W8g1HueDQKDVNWXMnOt1/FmpiMwRxB6bbNFFy0gtxZ86gqKmT7ayGh\njrGLlnB4wzoADJFaHF1uknLzkCSBqpZSNLYgEfGJzL3uZnpamijZshG7owRLjg1PjxoxKIAoEDNG\nRGXuQCZTgWk2ha07yVW60SolfE4F3c3JLL34NcKiYrDZDtDQ+DwH15bTVzX0XMTnJhE9fRuieMJT\nrjASCDiwWueSnPkoNf11lPeU8/SRp3H4HVybey0/G/+zweM9nlZaWt6irvVDgr42FAIUu+RMSPsr\naYpUVj/wS0bPXcDoeYv47Okn0JsjaKkow+/1YB7RT/Kc1lC/cjNqjRWPpw2DIROdLo2Y6KWEhxec\nVtL8S9QfOci+D9agScnkgmtPH1lz2wd45vorSMkfh0wuZ/FPfzko0vLRnx6mumgvsRlZTL7kCiwJ\nibxw23VMuvhypq5Y+bX9Avg9HnqaGzFYI9EaDIPiLV+ipaIMpUaDQqVioKuTjtpqdq1+jasef5LI\n5G8uUJakINt3jEOpNBMePgEx6MEUNoakxB/R17eHrq6N9PbtQauJJyvrIbTaUyM6X3Xk1B7pwhKv\nJzxK/1/j+T8E/2eN59Gx2dL6q18AmQ/8bQhaM5LPhOfo28T/6Ta0o0aduRFA9AbofvUYvlonksJH\n9L1T2PbGCxRv+YLZ19zE2Hnn0/rgdpQJahRmC67DnbT564hVDn8AvzRKASzXjEKTGc6m/8feeYdJ\nWZ3v/zO97sz23nuD3aX3It0ONgRUVBR7jEY0JmrsJYk1MWJXVJQWEaQpvcPSdlm29953ep/398fg\nLisIqJjE78/7uva69p05c94z77zlPs+5n/u572UytMMBkIaqCfv9oB+dzGfcVo9xQw2GGBNHyzfR\n0lzBiJgriJP6SqsGzklHPTAEwSMgkvT1LXgFrIda2fn+B2Trx2Bzm6n3r+TEiR1MjZqPU+LANsqL\nnyqIrtVlRKqTqI+pRRGrY9/Kz/F6PQy5dBZZ4y+ibVURmnpfNLVL144zC4ZcMevMx9PmxpLfgjRA\niTxeBwJ09TiwGpzEZfevLGbe14TxmzpkkRoUcTqUGUG0/fMosigtAbNSMHm6+HjRPSg0WjLkw4jX\nZCE7xRrL5hVoDlEjBChprDXR3e5bns+bGsuoWT77M4fNzceP7sFpcxOTGUjGqAiaKw0c39bAmU7/\nabdlkzw4tHfbaXOzf00VMrkEbYACjb+Cdf8q7H1/8s2ZJGcG4qjsQXB66V5dgVgtQz8jHnenHcHl\nweDtZMWSJ5k4fyGDZvg0o0XbN7PhzVcACI9JJmfixcTH5eCusaC/OAGRWISlpxuP24VfoC8y3lRe\nSsmeb6k6ugep2sLIm4bhcNZR+HUK1pah+Cccp6MsjUHTEjmxqwmbyUViXghe/w78vJGMnJVM+cFW\ntn5a0qccOEVOmTUuiglz0shfX4PL7iZ1eDgrXsjH7fSt0ASEqzF22PC4+x+4lCvvw88/kuys1867\naInb5eKtW+fiRwDx2mxqzMfpcDQSrI5m4JQZJI4exqGtX3Fkw1pCYuO5aP5CRBIJW99fTGtNBeEJ\nKbRUl6OV+nNJ7EK0o6PQT4vD5XbQWFqMUqtFqdGiCQhErjzdX/U/JX8SPF4O7N1B1FoJBdn1/EX0\nKn4yP9psbVzrjWeqUklF1jiuzrodhURBp62T368Zw+zIaCYOfp+mt2ooMZcQvGAgpV2lDI8YTlqg\nz8/e4DBgdBiJ0Z0ul/gO9cZ6Lv63zzZw9ZWrUUvVrC39iIFhI7AWNnNw42rsQ8LoCvdwqWgdAMHB\nk8gZ+DYALpeRqqqXaWhcglSqZ8TwjSgUIbhdLt6//3bEYjFDL78KhUbL8V2f0t1egi7OjODWoJQk\nIZfGMvzKGwiK6LMjtFpr2bvvopP7mkxk5LXIZP6cOLEIiUTJ8GFf97a1mYy8d99tOKwWUoePJio9\nk/oThcgD9SwSv80fhv6Bm7JuAmDX50vY/+8vAJ/e2Nzd1Uu0T0XejMvQh4Sz7SSh1gQEIYrQ0Vhb\nhr+g4d7FS/vlnJi6Ovh66ceoPE7i0gYQOyCHgIgoTKZCqqpfpbNzOxKpHoOg4mhtDEfranBnBrNm\n1loAuu3ddBuOUlWwAPPxmVTuKwEg89oe/KNURMTehdjTg9Vag1gkpUM9lnu3PojT218KsOKyFb2/\n/ffRam7iuU1TuNzfjlQWQmjIRTQXtVG2vQqXTUr44Ha85iQCY3SEJ2bQbVuGsdWBzDKVwKxKFIow\n5IoQzOYSLJZy3G4TUqmOgICRyOUhKBXhRETMQqE4faJ5rmtp+dOPUne8AICpd9xHxugJ9LQ08dFD\n96ALCcXS3YXH3Se5uPpPz/zkgMLZYOnpPq+EdZOpmAMHLyUz8+9EhF/5g+28XgGP24vse9Itr1dg\nyzfbmDzt5IqK2cn7f/DleNyzeNJv5PlXgv+z5DlboxP+PewSpLEjkAanI5L5In2mE++Q8dXH5/h0\nfwiCgKvZgkQrQ6Lz6afWvPI8Ffn7ue4vLxAZn0ZrXRUHVi8juDaEOG0mgkKEdIwejF60IUG0Hi9H\nWeebpasHhWKOteJY2YJK0ud/6T8zGc2w8B8k0IIgYD/Rib28B5FEhMfoxFbYgTItgKD5vsnAVx9/\nQM3mr9ERyMSI2ShCfATVa3YRdl8eEr3vpt/1RSm2Qt+53+NsZ0fLMu78dCmFWzZS/8UBcgInUmsu\nIlKd4tOOiTzYnWbWN7xL4pDhTLhxAfrgUMy7mzCsq0Y9OAyxWop5ZyMimRikYvwvSUCdG4q9ogdH\nRQ/uLjuuRjMeg6Pf91Ik6tGOicJZa/QlNwWp0E2KpfXv+QgeAbFSiqvVAoLPhit80VAkfnIEQaC+\nZiWh4WMxtJjZ8t5bGKubiYvOIWnMCGQNIqS1vnPY5RXo8gi0ClBt9ZA1NpJB0+Io3ttM/tc1JGQF\n0tpgxmrwPZDS0gMIaTBS6/ASJBUTIhOx1+oBpZQZg4PRD49AkehP8Z5mtnxcjEjEaWQ7KELDpFgN\njvLu76pQIw1V4+6w+rZFgEQEboGNjR9gxkBUeiYB4ZEUb9uKHDkRcQoa6oxYHTaUUjXBgTpSR16C\n0+1g34YvcHt8kUBtYBDmrk5EYgGZ1oXTKCdmfBMXXft3Dux8iuqNjwEQGNvD9Y/Owu3ysGdlJYXb\nGnrHG50eQENJN7FZgbidXmwmJ5fcnYPKT4bV6EQbIMcj9KCQ98lYago7aK8zYTE4GXFFIoIg0FTW\nQ0CEhqVP7kcTcYyRsw0kJz/yoxLHSnftYu0bLzB56C2kXjye9uIqVix/uld3KZZIEASB7IlTmDj/\n9l4yI3i9FO3Yws7PPsRq6AFgweOLOXJoHVaDgdbqSroa63v3I1OqmHHX70kcPLRfdOqXIM8upwOJ\nVNqb6f8dqg3V5L/xNbmWNLbFH+PyUVdj2tOIvNoNEgcPZD5EhUdEnC6OKkMVd4TYSVd6kckCifvm\nGQwh+/l3rhF75xrqnWL0gWO5O+9+5q69DrFIIP+GwjPeU8xOM7d/cztlnQXIRaBUBJMja2W6zkmn\nR0bxhmj8G32/mTnUyuBxLaiCBpEe9yCFG7chEouRyhVo9P5EDwrB3ObEYQS300FHfS3Ht37DVY8+\nRXyOryqrIHiprn4DpTKC8PCZiMU/vCLW0bGVqqpXMJmL+r2em/MhQUFje7cPrlnFjk/e58a//oOQ\n78mepq2YRnZwNn+f4Fu98LjdfPPOP9CHhjHyqus5vu1bNr//L1KGjmT0dTdQsns7AZFRpA4fDUBT\nWTFF+bvYU/QtnqYetA4Zlz30JzLyRp423rOdL16vA/Epk/qPij7ib/l/47ERvmvymX3PIMbLS9E2\nYqPnYy7PprzgC0JHHONjYySHDW0MDhvMxQkXY3FZeOPIG8Tp4nhwyIMk6BOI0ERgcprQK86+mmNy\nmjhQvRSdcT1WWw1ut/EH20okGnIHfIo+IPu0c8fjcdDRuYWuzh10du3E4zHjdpsQieSEBE/Czy8T\ntToRjSYZjSb5nNdSd3Mja199ibaayt5kwu9w8yuL0QYE0FJZTktlOYGR0T+rDPaFQG3t21RUvsio\nkTvOGFX+Dls/LaFkdzPhSXqyxkaSPDgUr1fgq9eO0lpr4ManR6PxV1Cyr5nNH/qSRn8jzz8ODz30\nUMTy5cuDgoKCXJGRkc68vDyrXC4XPvjggxCJRCKkpqba165dW/VL7Pv/LHnOUqmEv/7pIWY88jjd\nK3ZhPep7YNl0u0h59I8/u3+Xw87bd99CTEY2Y+fO58MH7kSmVJI37XIyw0biNzASaWAfWWgsOcG6\nZ15i2rDbELd4wesjw62ZHxGedgnyo0k4a4woUgPwGp14LC5CFmTjMTixFXdiL+7C0+MjnSLFyYev\nIKAdGYlmUjgSmRy328TOnU/grzdgMBxHtH0y8fZpdHmaCZSE49Z6UDpViFUyvEYn4ggF3mYHJbJD\nJFw5kqTBw3HZ7bx18zwmJ96ExuNHm7ue1Hum4u1wYl5RA/iSrWTharw2N7aCDiT+CkLvyUWilWMv\n68Z2otNHljttiKRiBJcXkUyMJFCJNECJdlQkIrnYR5bNLsw7TzoPSkRINDI8RieycA2uFgsBV6ei\nGRKGvbIH65E2VNnBqNJ9WlKjsYCD+TMBGD1qJwpFBCV7drDj0w8wd/qu6wB5OFptIAGBEcjEfiQI\naZxwQY3ZjeD1LRtHKMQM00oJXjiQTpsHU4sF/aEWPJ12dJNjkWjkiORiKr+uZke9bwk6RSlm7F0D\n2bOnhZqj7Vw3PwOnCGwesJ/oxGJwoAGUrRa0IyORJihorluFNElOlNa35CgNVIFEhLvDRsWbWyht\n3EeXqBWTuZNAWRjRM5rxhhYieMFYp6X9eCDmxj6PUV2EE2OzbyneL8qGf0o3ISF+xLXdy9Z9a3H4\nNTDp1vEIGhf7l+kxN+aRPdnB+Kt9Eo2eNiufPr4PAI2/AkuPg8TcEKbemgVin+OC+KSMxeOxU1Cw\nkK7uPeTmvEtQ0Hiczg7cbtMZfZiPF91PfeVewiKHkjf4jXOuqJj3N2NYV400UIk0VM22g0toaang\nlqf+hSr55O/d0Y5ap2fPis9wmM0Mvfwq/MMjznx92u0Ubv2GrR8uRumnw27yEQVdSBgjZl2HWu+P\nw2Jm36rP6W5uQumnI2P0eLLGT8I/PJJ1S5dwxc0LTiO6PxVOu40PH7wLqUzG5Q/+ieCYPomFy+vi\nnpV3cGflLIJ7TncXMcS1YnMqUXfJ2Bywn4TsjwjWj0KwdRKz7o+0p3zB7oitZCh9Mg+HV8QOs4xR\nGidWr4ghw9YhFks50nqEYeHDiNHFYHVZuePbOyhsL+RvaclgOYzZK0MrdmESh+DnbadkeQIytRtd\nnJmWQ8EIHjFpM+fQuHUrNpMRhVqN2+nEbjGfPnMEwpNTmfPM33+yNabD0U5n51Y0mlTcbgMisZzA\ngD7i6nG7WfLwfchVKuY88/fTPv+H7X+goL2ATVdvAuBY+zFKOku4Lv26vmPvsCOVK04bo9vr5tPi\nT3njyBuIRWLuzr2bOelzkEnOTPh/zGSr3ljPrK9mYffY+72+MNhOhspLZORsmpqWUSVK5p2mTuZm\nzGVz3WaqDT5L24tiLuLxkY8TpAo6U/fnDYejnYaadTS2vonWLwWJRE1qyhOIxBKkEk2vXOZ8YLXW\nUlf/Lp2d27Hbv3OSFREcNJGOzlZiY0ag0+eh1+fhdhkQi5Wo1f1lRnXHj1F+YA8a/0DsFjOC18vE\nk+4qvzQEwYPJVIRanXDG7+31OikrfwaD4TBmczFabTrDhq5FJBLxHU869RwSBIEPH9mNQiVFEHxS\nPl2wEv8wNXVFvpWO4BgtAyZEU7qvBUOblficECbOTf/VkefHdj8WU9Fd8fNKLH4PyQHJ1qdHP11/\ntjbbt29XL1y4MP7w4cPFDodDlJubm3nTTTe1v/XWW2G1tbWFKpVK6OjokAQHB3vO1s9Pxf9kkZQL\nAbNKQXHhYSbarGgnZGM96pvZBV19upzA63XR2bmN7p79GAyHCQ2dQVzs2S9amULJgMkjKS9cxvv3\n7yYg2ciEG28nNHIIanUUTmcn3e1FBAaOw+FoQh0ERlcHnf5t6Cx6Sqp3kXBdKgbRNuKSrid42EDM\ne5p6tdmCy0vrKz4/XpFMjOKkTlOR7E/ArJS+BCZBIP/QVdjtzXi9dgSMdBtODnLUVras7yYkLoGW\n4ioGisYDAl6XE2O6hfXrXyRIcwmbcwAAIABJREFUEcnkh+8lOstneO8VGRl6nw1FWB0x8XcS6fEg\nlckQYgUcu9rxWl0gBmtBB4LNjXpwGAFX9Y1HmRqAMjUAr8ONeWcjHosLZXogyiT/Xj9di6UKtToe\nRbwvUuI1u3A2mgi9KxeRQoJhbRXmPU0oUgNQ5/iinMok/14N9nfo6u6r0H74yFwiI64lND2bG//+\nEm3VxYhFAbRWVtLd1EhXcwONpdto0hxndOiVJGsk1LgF7G4vSQo3eCR0vHUMVXYw4gYzHqODwNnp\nqAf0RVmzBwQjrKmisqSb8hoT1n8U0OkRCBBDz+elve0UJ/8A5BfLaY34jObm5bilJqgFv9xMggL7\nkilloWpS7p9M+LZ0rIdaEQK99Ez9mlY2kZH+PBpNCt0pB+gZtA8tgziwYSXqIC+JwwbQXLMPkcKI\nVCIhwjmXpJH3IQvQ0ayxsm/dF7TW72XEjI9pHHEl3cVyBk+5sXe//qFq4gcEYfZ0Mv7SbBpKuhg0\nLa5XD+5yGSgufhKFMhKXq7vXPu540e8ICppIW9sGBMFF4Mnv4nJ1k5n5N2y2Olpb15CcuYDEhAfO\nSZ48ZqePOAcokejk2Cq6aGwuISYgA2Vi3zKqLtinGx83Z/5Z+wOfdVXqiNFsX/IuSo2GmYseIyI5\nDUSifuNJGDSU2mOHKT+4j4Jv13Nkw5re90pSUgiMiqG1qhxLTw8RKWkk5A4+0+5Ow7Fv1rH5vbeQ\nSKWodHrEUkmvJdaq5/9CxpjxhMQnogsORa5Ssfia9wBw9zhwlHfjbDBhOdSKS9qBri4EfaAHVDCz\nawLGIgW65pGI/WR4cWNWtpOhtGP3ihk56EP2FtzHFJ0v6q6RCLy15w6+6ezEK3jRK/QsnryYlw+9\nzLH2Y7w09gVENfcjAFEBA4iKnE2nLI0nv72W4QYl8QOzGXBpGraxcta+sJTiFcuQymRc8+dniUz1\nScMMbS3s+nwJQVExZE+cgoDAobVfkjVhMsb2VrxeLwHhp3smnwsKRQiRkX1lvL0eD01lJRTv2kZC\n3mD2rfyczoY6Ztzz4Bk/nxOSw8aajRR3FpMemM6CjQuwe+wEqYKYHOer6ipTKOmydxGo7EvuXFu1\nlsd2PYZb8EkFXhj7ApckXvKjx/9DiNHFsOv6XbRYWmiztpEVlEWPo4dLV03lydSBNDX5KuN+1lTH\nDZl3cG/evdyXdx8lXSW0WdsYGz0Wsej8beZ+CApFCElpN5GYeuPP9v5Xq+NIT3sa8NkIWq01tLau\nob39G0CgoXEJ3vr3eturlLEMHbqKysq/IxLLSU15jNjsHGKzc3rbCIJAXd37SKVawsOv6Be9/7nw\neGyYzCcwm0uRSrS0tK6ms3MbEomWxMT7iY66AbFYSkfHFlSqeCqr/kp7+yb8/LJITnqYqKjrEbwC\nhTsaOLyhlpBYPy6+a2DvcTS02bAanAy7NIHM0ZFUF3Sw/6sq6oq6CAhXo463Yan2WXcCTJyXTvrI\ncDi7lPs3nILt27drZ8yY0aNWqwW1Wi1MmTKlByAtLc02c+bMhMsvv7xn7ty5Pf+Nsf2qI885A7KF\nGzPjueR3i0gfNY6Km/6K0dJM3rK/IRKL8XgcVFe/Slf3Hlyubuz2RsRiBQpFGDZbHcnJfyQ6at5p\nS80ORxtt7Rtx2JtpalqGy92NyypBpj775EYkktO+dwwNx3wOGQm5gxm7YBwFhbczZMgq9DrfTcNj\nciKSiGh9/QieHge6aXH4jYlCJJOcseSowXCY/EPXABAUNJ7urolMmDCXltavOHHiQQblfYa//1Bq\njx3As8JEY3cpRY59WE09JOQOJmfqxSQOGoZIJMJkKqbw+F0n7bJg+LB1aLVpuN0WrNZKNIoMxFIJ\nIonY5+FqdiHWyBCJRdgdLSB4USgifvBG7HB20NW5nRPFi4iNuZWUlEcB303S6ehEKtP2Hm+vzU2P\nLZ+W1i8JCZmCnzYDi7UKP206zS1f4vXYaGtbj4CXtNS/UFb+LGbziX77i429jZTkR3q3169aQdXX\nK3FarISp4slOnoDR2M6Ruk3o/EO4bMYD2A53IDg9hCwciCxG0xt57O48it1VS2jIdOobltB4YCBH\nN5sBGJmiZ8DcdDwmJ16zC5FMjCW/FVN4PlXypxGJJISETCMq8jqKS/6E09mGUhkNiJDLA3G5uomO\nvpHoqDl4rS6aKr+ktP0RoqNvJC31idOO46mRDouliqrqV4iPuRs/fXpvm+byUj7784PEXdTEFbds\nQyQSI5FoaDq2BqPlCPGDbkaligVg69Y1jBkzHplMh9ttpqzsSUzmYiLCZ1Fe8SwikQRB8BAcPInU\nlMc5mD8Tr9dJRMQsTKYTWK3ViMUyHI5WJBINcnkQCAIjRmw649K8w2qls6EOR7MRP10QKo+G7hXl\nhN6bhzxKS+OJIj5/8mEuvv1BMib99EpoAF1NDfgFBSNTnFsyYjebKd27g/IDe6ktOHLa+0qtHwvf\n+vi0QglF2zej0fsTf5JYu5wO3r3nVgAyx12EzWjAZjISlphMQt4Qvn33TTrqanoLYMgUSu56b+lp\n/QpuL/v2zsBmr0WQuFB3ZhBz6GEA5NkaJGIVXrOLt4LuZVRAA10Ec81F+9l34iksLR/hUGZjs5Qi\nwU2T7loGxV7OH3f+kQ5bByJEPDf2OcYFx3Ew/0qyMl8hPPxy334Fga+OLKPixSVMXnAXOVN8mugV\nzz5Gc3Ulsx979pxJVeAj1Z88+gBOq4XBl85k5FWzz+t3+CFsWvw6hVs29W7LVWqmLryXtJFjz9je\n4DBw2b8vwy24CVYF90ZuAa5Pv56UgBRKOktYVraMp0Y9xcyUmbRZ25i8fDICAjkhOdydezcjIkac\nk1xeCJnP9JXT8Qpensq9nmUn/kWjOIElM5Ygl5xfIrnb45M7SCU/n1hfSGzbto1x40ZiMhVjMB6h\nsXEpVmslEokWj8d3D42OvhG5PBiXqxuvx47ZUobBcKi3D602ncyMv6HVpuPxmE8WcTLh55eJVKrH\n7TZisZQTGDAKsUSJVOJHRMTMMxJut9vMgYOXY7PV9ns9NnYBZnMpXV070WrTiYtdSNGJPkeT1JTH\niImZT8m+Ziry27AYHHTUm3vfn3hDOpmjI/F6vOxZWcmxLfXMfXIE/mG+oKylx8GGtwsZemkCVW2F\njB8/nrZaU++KH/zmtvFj8NRTT4V2d3dLX3nllSaABQsWREdGRroef/zx1vXr1/utXr1av2XLFn1p\naWmR7GcWtzkT/s9GnmUKJWq9Pzs/+whdcAgF8R3YrC4GicWYTMUUnXgAi6UMpTgAlVtKak8iQTYN\ngkjM8WAzFRXPU139OlFRc0hK/D1isQKzuYxDh6/H7e5BJJKhVEbh9liQqZ3IXWPIG/0oZnMpbe3r\naW/fRGjoJWg0KSgVEVRUvkDilB4kZNBUWsPEmxditn8DgELeZzH1XUZ84LVpWAva8Rsf0xvVPdMN\nvKV1DWKxirFj9iKV+rFtm48ohQRPQSxWUlL6GG63EbfbyLCHv8Z6QMDz6U4m3DyHsGwIDAzFaq3E\naDpOScmjyKT+ZGe9TmnZk+QfupqI8KtoaV2N220kOOgiBg5c3DuW73THdnsT+w9cfDKJxA+xWElE\n+CySkxf1G+uRI/OwWMoBqKt/D6UykuDgSVislZw4sQipVEvOwLfRaJIRKSWUFzyF2VJKc3NfyVSR\nSN7PMzM+/h4CAkYwfNgaXC4DJlMRJnMRNTVv0tDwsa9qk+DBZqtH4f8N434XQUjA1RRvPs7mTR/i\n9XiIzR5I3fECdletIvfK6dQeOsqWN7/A6S0hcUQGTsl+ZDrffeIEvmx2aZiOcfP+hdoTTcxQNSb7\nUTSxKagVoVRVvUZPTj5mcyl+ykxyBr7Tm0gzKO9T6urfwensRBC82O2NuN0mSkt9+kc/vyxqjK/i\n5zeAlORHz3hun3oeaDSJDMh+47Q2YUnJyORyzM0qmku/JDb7RjxGB5UNz+NSt9Gy7wviE+4mInwm\nXuEP7NwFaalPUlu3GJutHhAor3gWlTKW4cPXYTaXoNEkI5FoGTF8I2KxHKlU22+fdnsTBYV3YjId\nJzXlsTMSZ0NJE5+/9Ahmi2/pUiKSMj3qVnT+IcgifZKUxnLfKlH8sHNHeQWvF6/X21tM6PsIjIw+\n4+tnglKrJWfKxeRMuZjVH71PxbpVKP10zHvuFTob6/j3C0+y9tUXGDtnPkFRviQ8h9Xam9h570fL\nkStVHN+yCauhh2ufeP6MJYxveOE13C4XnQ11HFm/hqLt39JSUUp0Rn+rLpFUzJARy3E6OxCLFbS3\nbaTN+AXKkFAyLnus9zxYv9RJW4+MKwf4qkHmJNzCntalDEm5D7vYj5ri3xHgWEeoLZR3JzzF51U7\nmBo/lWx9GEUnHgREBAQM79uvSESePJ0KwP+UiPGVix5n586d50WcAXZ8+iFet5u0UeM4uHoFFQf2\ncP3Tf0Pld/6Fbwq+3UBrVQVDr7ia8gN7CY1PYsJNCyjZtZ1hV16NPvT06prfQa/Q8+rEV1lZvhKr\ny0p6YDqLhi7izaNvsrRkab+2Lxx4gWnx03j98OtIxBLen/Y+6YHpqKSnJ5P+Unhp3Ess2rGI23a/\nDMDrE+84J3HusTq59aN8LA43dV1WnG4vsUFqBkbpueeiFJJDtWf9/H8KYrECvT4XvT6XyIhr2bN3\nIiplFOnpz1BV/RoNDb48JIlEg1isOGnfJsbffyixMbdQUvonDubPRKmIwGb3BXd0ulxaW9fg8dgQ\nBDcKRThVPX3109raN5CV+TIyWUDvtdLdvY+iEw/icLSSmfES/v7DaWpejlIZSVTkdQiCQHv7RsrK\nn+5HnJOTHiYmZj4AhzfU0t1iRRugYPrt2STkBPPVa0fZuqSEivxW2mpNOKxuMsdG9hJn8Enjrlrk\n48VVbb7rLCz+whaB+v8J48ePN995551xVqu12eVyib799lv/efPmtVdWVsovu+wy09SpU80xMTGB\nBoPhF5Nu/BB+1ZHnIbkDhDXvvMzajz7H1NkOAuRMm0RMxlEarLuReaVklJkJbjOATANBiSBRgOBF\naC+hOzmL5oRwWsx70WozyMz4KyeKF+FwtDIobwkaTQoikRiv14nHY+tnvSUIAk5nR79KQ/UNH1NW\n5itrOiDrXULDJnL02C1YrdWMHLHlJy+b5R+6FhAxZLAvi/zUCEhxyZ9oa1tPYOAYOjq+JSz0UvwD\nhtHRvpmOzi0Iwqmm8SL8/YeRnf06CnkwDkcrh4/ciNVaSUjIVNSqOGrr3iYt9UmCgiZgtVZisVbR\n3r6JnpM3rOSkRdhs9bS2rcftNvYWMHC7LXR17aLw+F2Aj/BazKW0d3zT77vIZAF4vS4SE36HwXiU\ntravyUh/Hrk8hB5DPjZbHRKxiri4O05GTb0+K6gzwGar52D+LFyuUzPppUilKkQimW/ZzaVB7EpE\nqmui4tBWClZ14nH6zvmgzC5ixrYC4DSpUAqjaSwuI2K478atUsXjcLQQHTWX5pZ/9+5HLg/G6eyb\nkJ+6qvBD8HqdHMyfhdncV2ksL++TfvrOn4IVTz9GW/0hBlxpZNSkLXTsPshxbiSw6lJcmlZMYaf7\naysUEWRnvUpN7Vt0dm4lNnYBKcl/RHB7afnqOGW7dpISM5SI3w3tndSdCo/HRkfHZkJCpiEWy/BY\nXFjzW7HktyC4vOwqW069pYTRA6/BLzmcb1a/RZQymXFD5xJ6p+84rX3tJZrKirn9nx+c8zt+9fJz\ntFSUc9s/37+gZee3bdvGgOQkJDIZ/mHhCF4vXzz5CE2lJYjEIoZdcTVhiSk0lRVz8Cufxdu4ebcQ\nnZ7F6r89g394JLOffPGc+7GbzfxzwfWMunoOI6++/qxtPR47J4ofIi72tn6FQfY07sHitjAlrs+f\n1ut19l4bdnsTR47ehNVahb9+KIMGLaWp6XPKK54DxKSnPUV4+BX9xnTgqxXkf7WKO95e0s8H+Hwj\nrD2tLbz/u9sZcvksxs2ZT23BUVa98BdSR4xm6u33IpJIkMpkdLc0cWTDGhwWC3EDcskc11cB1Wro\n4Z17b8XtcCASiREEL5fe//APRpp/DNqsbQiCgEqmorizmAWbFrBw4EIWFyzm5qybeWDIA+fu5BRc\nqARTs9PMiwdfpMHUwJsXvc3SAw10W52MTw0hLzaA93ZVUddl5fphsRyt72FdYTO7KzoZkRhIergO\nlVxCVbuZPRWduL0CF6WHIpWI+PMlmYT4XTjZw4/BmY6Nx2NHLFac1Ax7MRqPoVYn9nuOejz2k3kX\nCpzOLior/0pX924kEjX+/sNIT3vq5CqcF6/XjVgsx+PxFTdqbV1Dadlf+C4zW6NJRqfLoa1tHRKJ\nlqTE3/er3vl9uN0WausWI5MFEB01rzcQYDE4+PDh3QyaHsfQS+KRynwrk26Xhz0rKqgt6iQy2Z+4\nAcEk5oX05oyczzGB3yLPPxYPPPBA5KpVqwKDgoJcwcHB7qlTpxo+++yzIJPJJBEEQXTNNdd0Pvfc\ncy2/xL7/z0aevR3FSI7cxrzn8tn+ySeYOtuITj5EvXU3ES12UhpEyFKvgOnXQvwYOCUxSLT7dQK/\neYzAYghNTKY4voUDBy8FYOCAxWi1fXZAYrH8NAInEolOK9EZGXEdzc0rMZmO09W9GaUqiO7uvURF\nzf3JD31B8GI2lxIRPvOM72ekP0t62jOIRCJKy56ioeEjmltWIpFoiYm+CbkilIqK5wFQKMLIGbi4\nN1lCoQhj6JCVuN1GlMpIBMGLwXiM0rL+MgKZLJCQkKkEBowmOnoeAElJD7H/wCUUFNxBUvIiqqpe\n7k0iycp8hbCwy/B6HRQXP4xSGdkbrQ4Nnc6xgoWUVzyLRKImPu4uIiKuQiSSEBz845bvVaoYhg1d\nTUfnNpSKCFSqGA4cqGbokGQKCu+kpuZf9FpgtAF6GHx7CErRCASXEjNfotFkEay6hfjxlyCRyKiK\nO8i2lQ/gNMkIjsglZmI5dfXvoVLFkpH+PHZ7AyZTER6vncCAUWi1GeckzuA7hwYP+hyD4QhewYlU\nou0XCfypiMkeQO3xI1hpo3bTEpxCB50NetpbJCT6X05ITzLtab4I3MCst+nq2UlC/P0Y17XgVzqb\nxIX3o9El4bW6MG1vYOfaj6m3lNDWU8P0nREoUgJ8FevUMiQa38NFIlERFnYprnYrluJWjN/WIji9\niLUyqluOUWcpZuSV1zP8ep+4r8lQzrHN6zlo3EjM5mYyxkygvbaa0PjEH/xe30EQBMr37wGg8tAB\nkof8/GN2KoKi+yzeRGIxs598CavRwIY3X2Hfqi963wuNT0KmVLJv5VKcdjvawCAmzj+9ZPSZoNRq\nCUtIpnTvTobPuvasCYoSifKMqwyjokad9tqp9ySlMpJhQ1dz5OhNmMzFVFQ8T139ewQEjCIz40WU\nyr7ostvl4qM/3IW5u4vw5NR+xPlsMHV1sO3DdxBJJARFxVC+fzcSuYxB033Wi3EDc8mbfgmHvl5N\nye7tgK+6nICAx+VzjCnbu4uQ+ERCYuNpr63m40X3AnD5g49SeegALRVlvc4dPxeh6j67yUGhg1BJ\nVSwuWEygMpDbB57fb/dLQCvX8vRon3b4re2VvLDep4l9Y0sFwVo5HWbfqtsn+3yTeK1Cyh9npLNw\nfFK/ftqMdv64qpD82i5ajQ4KGwwsWTCcKP//XCT9bDhVDikSidHr887aRi4PJCPj+dPa+J6dEiQn\nC4pJpb7Vq6io2ej1eTQ0foJYJMdsKaOl5Sv8/DLJynzlrC4Z3/WTlHj6BKqp3CehTcoL6SXOAFKZ\nhHHXn9km8Df8cnjiiSdaXn755SaTySQeOXJk2vDhw60PPvjgf53U/6rJs1UloTBZgvjQOCLHjCMo\naDxlJcsJb7OTOehtuHoiyPsniHq9LpzOdhQj70aUMBZaCgn56j50mksoTdWjQkfIhn/CxQkQlPQD\nez4zJBIFw4aupqDgDpqaV9DYtBSp1J/IiGvO2N7jsVFa9hdcrh7i4m7HX3/6ErbNVo/HY0Z7Fu/c\n74h5XNztNDR8BMC4sYd6ze2jo27A5fYVF/h+lrFUqu1dmheJxOTlfkBT80pEiFFrktCoE5DJgk4j\n/zKZntyc98g/dC0nTjyIWt13rIKCxvokHxIl2dmvnTbeoUNWYbXVoFRE9t4IfyqUykiio+acciwa\nUKsTGDF8A16vG6u1korKlwgPuxyFIoy6+vfp7FyHIHgIDBhDdvYbyGR9y2qJeUNxO1+g6vBBTuzY\ngsOUwLjbbiQ0YhwKReiZhnDekEq1/Sy4LgTicwax6/OPadyegHr4p8hNMTTvD8NtL6ORMrJyxyP1\ngsISjW2pmtR7Hqf+swNs+mYxJlcXE1+eR23XMjRePQqxmnqLLymy3lJC29piFJKTD2KJCL8JMegm\nxyISibAebaPrZAKlNFhF0LwMCnZvJP/4RsKikhhx7ezeMSYPH8mxzespObyDksM72P3FJ9iMRlJH\njD7n9zO2t/b+f3zrpgtOns8EtU7PrEf+gs1swtDSjN1q8XkLHy/gy5eeJmfKxYy9/qZ+BYLOhSGX\nzeTr116iZPeO3mp6FxoSiZrw8JmUlj5GXf17REXNIS31yd7iT9/hxI7NmE/6Hg+cPP28+va4Xax8\n9nGM7W2odHpK9+wAYMKNt6EN7HOEyBw3iUNfrwZgzOwbsVvMeFwucqZejEyh4KM/3MPHD91D3MA8\nPG4foZ54022kDBvVW03ul4BMImNWyiy21G3hkWGPoJX/56UOLo8Xq8OD/mRBK5vTw+LtlYxLDeEf\nc/LYVtrOpqIWGntseAUYEKVj4bgkogNUZwy+hOqUvDd/KAD5NV3c/OFBrvnXHj5ZMJzEkP8NKccv\nDa02rTeJEThjztCPhanL55DiH3pBzSV+w0/EvHnz4srLy1UOh0M0e/bszjFjxlj/22OCXzl5FsQQ\n3WRH8AugQ3LEJxEQQaJkGKT7MqfdbgsuVzdm8wnKK148mSjnJcB/BLm57yOOzANLB4rNTzIw/Glc\n9Ttp69lF8Oq7Ec/+DNRnLr97NkREXI3JfIKoyOuJjr4BiURFd/c+ZPIgtBpfCWqPx87xovvp6NiM\nVKqjo+Nb/PVD0WjT0GrT0GpScbtNdHT6yuT6aTPPtksAlIpwcnM+QKEI61cVSiJRIJH8sG7wVIjF\nin5k9GzQatPIy/0Ag+EoUVFzsdlq6OnJRyY7uwm9WCzrPQ6/JMRiKVptGrk5fRngAQEjcDjacTia\n8fMbcMYbberw0aQOH03KsJGsfeVFVv35M7ImtDJg0nRC4xMvqHTg5yIsMZmJ829n64dvU6GwoIs9\nhtsezZWLHqO+qJBDX39JVNUMFCItBw3Pkds0haL6nSAFqVjO5rKP+vUXEBHFpFvvZMUzf6Y8sgi3\n1Y5SoSUvagqmzXXIwjWosoMwbW9AGqZGPyUOeayOsoI9bFv2PjFZA5l+1/39ys7HZA0gICKSrAlT\niErNYP+Xy6g5dpjo9Ozvf53T0FzuI+iRaZnUFhzF5bD/rIS0HwOV1g9Vsm+y6fV6iM8ZxL0fLevd\nv6GtlfqigvMq9Zs2Ygz7Vn5O/ppVhCel4nb6LClD4hIu6Pnkp+2bZKck/+k04uz1ejj41UrCElO4\n+k9Po9SeH8k6smEtnQ11zHz4CRIHDcXlsON2uVBp+0/GQ+ISSB89nrgBuWc8Lre8upjCzRs59u16\nzF2dhMTGM+jiK05r90vgkWGP8MiwR87d8EfA4xWQnGHZ/ssjjSQEa9AoJOyv7mJZfgPH6nuI1CvZ\n/chFiEQivjzaSLfVxT0Tk9EpZVyeE8nlOT/esQRgSHwgS28bwY3vH+DaxXtZcutwMiJ+nVpbX6K6\nGcvuPUj89WhG+Dyf7RYXltUrsG7fTuD8m1CPOD3J80JcS1aDE6lcjEx5YSwsf8PPw5o1a6rP3eo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Bwzvr+tQdPOI2fiFNxOf3ne8VdeT0dDPQ0lRwiJjWfU7JNlrN/eUU1Lr4NHZ2Wd\ntlAafckVtNVUMvzCuafE7waGR/YnPf4UEgYOAiA0LoGPH7qb5Qvv7f+u6VgpCbmDGTzt9NARhfrs\nOQmCIBCbmc2suxbw+vXzaK2uOI08A1zy6DPYLWZ6Wox01NdSvGUD+efPJmPUODLHjOfg16souHo+\nwTFxdDbUERIXT0hMHLe8sxS1PuC05L+s8RM5snEtk+ffRnxOLt1Gv2fj+4TOgqvn4/V4aDxWQuOx\nEqJS0/vH8+3HS5AqFFz1zCtoAn/ZBeTPxe7qTu5dUcTAGA0RwntMiNnKawWg0Q0mK2MhgYEB/3UN\nY5utlrq6N2lpXUl9w9vkDXyP0LAJiF4vns5ORLcHiVaDLCgIURSx7SvEeJ9fwi9121YEmQzR5aLx\n5lvwdHRguPBCNMPz0Qwfjs9mp2/9OrQjR6IeOPCsfVEkJvb/7/ZK2BF7I7JIO3kReQzyiay9YyxS\niYAgCPi8PqoPd3DkmwZMrTYGT42n8Vg3NrMDr7SQ8CF7SAiE7maRuupcdNFH0ArHECOl7Ns+g66e\nLHzSEizWKnySShD8euUC5zJhwvNIpRq+WXKUygONpM2MIjp+OJmZz3C0dgsl5YvYUDOM0s5cNOow\nMiP15Dd7KWorJWPwtZw3/T58fd9yw2dmJkUn88BlGajVp8fZf185MCP9cZISb8diLUevz0GpCMVm\nq6e29lWSku5AozkhL3sDJDvbOV70MXt2ulhszsbslnJBSDHTBr3D11tnYLHZSDC0cLTxCu666iHa\nXnNSX7IC+0ArnRs/QXHci+UcH33hx2mrWILEowSvSNmS6wleLEOSFYO0yoRlyxYAJAMGYAnQU19Z\nxaRuv3VdGhhI0FVXwe1nDpX6X4bxwYfinJWVv2giljItzRb99FONZ9uvoaFBtXTp0prRo0fXz5gx\nI/nDDz8MeuWVVyIXLVrUcO6551puuumms+si/goQfq7W6f8ilFFpYtQ1r3Do4SkEaeSs+bae27eV\nMWJaEjelR/FKXRv7+/xhEVIBhgdqcXhFGhwuutweopVysnRqhB4XthIT5TlaQhxwyZedjDg/mWEz\nEgH4S1Uz7zV0EKOQI8gl2L0+7D4fCkFgdVgv8cWL4dhXHFkXy8Oz72T/sCHEOqG9sI2sbA9HgmNI\nb6vnKoeVt9LzaHaeVNcYaW8iNiEHs89Hn8fLnh4rfwxS8/CgH+gle91ULZrJFvl4DgZO47vKNqxu\nfwLMY+dnExHwM8M5jq32lyhPGAPqf29iXFNk5PblhwFYeN4ARBHa+hzUdFopbzUzKy+aoQlBHG/p\n46VvTrqHrzYrifBKqJV5WadxYZPAAK+MeqUPm8eHXCqgkksxn0i6+CGkEoEHZwxgVkY43VV9bPnw\nOIZwDZc/NgJB8MeVbVqznYLJY5GrZLidXqwmJ1++eIjoNANp+RGU7W2h8Wg3Pp//vpfJJQRFaUke\nFEbq0HB8PpHlj+8DYMycVPLOiUP4hcNEGo+VUHfkIGPmXUX5np2se+0FZi94nMQzEKtfCtu3b6eg\noOBXax/8oSnv33MLgiBwzQtv9C8GetpakSuVZ1Xj6Oto56P772DitTeSNd6vCtJtdTHkiW8Av8v4\nhrE/rafs8ZipqV2EXp+DTKpBItWgVISh1aafRry/vyZNTR+jVIbh7Irm8ycWkjxkOIIg0HC0mGv+\n+vpPSt79XCy562YMUdFc9OdHTtnu83rx+XzI5GdfOG1+9w2KvllPWEIS51x702mKHrVHDmKsOM6Y\nS67E43Zh6eqis7Ge6oOFlG7bxJXPLiIiyV8JtLW6ko8fvAsAdUAgVz23CE1AIK9fdynBGdlcctk1\n9K5dS48+hMWNcO3lBQxIO32O6jA7+XT7MUI7mxkSIGKVKGhKykGnkmPstdNpdlHbaWF7RQdZkTpe\ntO1HiogiPgFEka533iHoisvRjh2HIimRzw408eqmTVyX9RFhmi60chvylhDc4V3IZHrkqiBGjdz6\nT8mviaKIt6sLaWAgiCLCTyRJ/vAYi7UcjTqxXy9727a/ERFcTU9XIXaMAOitydhstQgIJB6eitDp\nwrprl78RmQypwYAgkfRLuAHEv78E7ciR9Hy5ipYFC4h982/oJ/7rVScdDiNtbWuJirqYqv0utn1U\nhiCAKPqNAZkjoz/xddAAACAASURBVBhYEENbbS8V5X9Foi1BEIPBJ8ftciGRW1EGmJCp21HIQ5HJ\n9dhs/sR3hSICvboAp6sBi30PAF6nFmdfFM7eeKRCFEPOGUlVrYrcjHx6Wm1s+fA4XrcPqUzgDy9P\nwGFzw4m+bNlaz5ambnq8XjbXd/3omP46PYu5BT/9rP8rEH0iHVYnf/rkCLuru7gu+2PyIw6jlLlo\nNc/k8vNf8S8ynE7clm72l81BKY8gN/1v7CmaimD2oFvhQVUixz4/iL6MdjTeGKzyBvS6bJIib0e+\nv4/mhx9B4vNhiYggeu4cDMOGQYwOgjXodCkHRVEc9osP7hdGUVFRXV5eXif898hzeXm5YurUqen1\n9fWlAA899FCk2+0WPvroo9CWlpYSgH379qmvvPLK5F8j5rmoqCg0Ly8v8Uzf/abJc2pWnug5/2nu\nnJRGeICSxTtrqQiX44nzZzCHyGUsTIliSkggAhCiOGloL+yx8Hi1EZdPxOT2YLS70LpELttuJqLX\nC0BYvJ6MEZFkj48+pcb999i7qpqKwjYufWQ4vu4GOm6ZhaXcxyPX3cnO/BEgCEh8XmZv3cD8rz5F\n4XEjn/8H3s4fR0J7C117d/H10Am4FAp0Hjc6RI5ExJDY1sJ3M8fTXldHxdEyNPs3kNSwDk24E2/2\nfFoP76dYmc4j2ukoNGo2/Gn8qQTaaQblSXF8e3sNrdveJun4icx5QQI5c+Cit/3JKP8kvD6R6a98\nS6/dn7hT2uz3mkgEv4dxQFQAx1tOelLi3RIygzSERuv4y5WD8Lh9tNb0UnSwlfXFrfz5ukHIojV8\nvK+eijYzEkHg7qnpWJ1e9td1I7H3MiA5hr/vrOO76i50Shmzh8QwUq6menUdYy9JRx0gp+JgB3WH\n25Fw6sQqV0mZdlsu8SkGBEHAbnbx3coqPF4frsFBDIw3EKpToPX2IXHbOLDbQ9WhDrqaLMRnhzDp\nmgFoAn5ZK/T3cDscfPTAnbidDq5+/jXU+n+wqDUfgvL1mDVJ6IbNRXBbwWUFUx3YuyFtGsjO3rf/\nBHluLj/OJ4/c92+ph/xjed3HVh/l/d11xBjU9NpdfHrTKLKjA/F4rLS3ryMsbPIp0mz19e9QVf3c\nae3q9QORywJwOFuJiJiFRh3P0WNPkzXgfo4d91sE1ep4IkOuIS7xcjwuJx6nE31IKKIoUlp6Oxpt\nMinJd5/W9g/h9dqRSJSnVfZb9/qLNJQWcfNbH56yfdVfn6S+6BB3fLTyJwmhxdTN2zdfTfLQ4XTU\n1WLu6mDy/FsJS0hGrlSiCTSwav7VBLd2MPLJZ6mx9rD9w3f7j48Nj2bWzXeiyc7299PjZuNbr6JW\nazi+aR2ykFCShw6naNPXDI5OIXZPId6enlP6oB40iLi33jwl7ODBR97nwi9fRe+292+rDoxG7XFi\nkavpVAXi0uhI8JjRdBiJsPcgCgLCGeYdpy6QSl0QgX+qRxrgRN4iQ78KVCUSRJmIcGs+xszdDBr0\nASHBP15Yxmux4Kqto+Pll/DZ7HicZnrCK9AeVKNKziTxk+V4TSYEqfSUsQC0tq6msekD5PIgurq2\nIZGoCAoagVaZTkPTYsCHokpAdUSCslxA1iogvXggzQVFSE0Q/LIEpSQU3bhxyEJD8Jot+Ow2NMOG\noZ80iarJU1CmpRH58EKMCxYgCBKSVn/1L2k9u1ydHD16N90mf7iPVKoB8/lUbBnLlDsbcJtjqD+Q\nRNXBdnwekdDs1YRmr0EuDECh8eLxmHE6W5FJA9DpM4mOvoSI8POQSOTY7Y243T3o9TknDBM+urv3\n0NfuQyZkEZEYSGeThXV/K8ZpO9XQoVBJGTw1gX2ra0gfHkH14Q60BiURCXoqD5xcRKzRuChTeHl7\ndh4dx01UdllpsLvISg3mzouzUMj++bnp58LrE9lf00XJRxX0tdsYNN7HOZdOOe13MBpXcLxsASEh\nBXR1bWdI5ofIylxohg3FrbRx9OjduFwdhIVNo631KxxOI4KgoG5fDlFtsUx/8UUEiQSfz8Wu70bj\ndpuYPKnmN0ee/1v4x2TARx55JKKpqUmxfv16w+/k+d9A7pChomP+S9i8PpBLEGwevAODidIqmBcV\nzE2xYQTKf15kyv6NdexdVYNEhGufG0PVgXbK97XS0WAmOFrLmDmpxGedtEDZzS7eu89vYVDp5Dgs\nbvSYyN++kJKUDBbPvpTxx/cx7tt9xIYbCLr8Kiw7vsXy3Xfg9lueNcl6NDFe+iLm4K6vw9fcwMf5\nI1k8/QIkXi++E7GIgs/Hnz5ZglsmxaLW4pVIGFhdTn5tCUuTp3Jo3MWcmxvNuLRQBhsc8FIm5M8H\nUeRQzWHebh/PJvcw3mt/lSbtAHrsLgy+Lq64dhSSCX4ysK+mi7/vrOH+6Zn9ValEUWTTsTYWba7k\n5XmDWF3UTEO3HQFYXWTkuYlRTLOspGHYn4gK0NFc2UNjpxVVq5M+rYSGyh56jVay4gOZfe9QpGd4\nGZ4xSfDoKghNh4gsaDoAi6dAUCKiw8whXwpL1VfydXsILu/p964UyPbJOD8wEHuChpJeKy0eD6Wt\nfWRE6Fl5y2i0ShkH6rp5aeMxdteempAThol7BonMm3clpTua+e7zKpQaGTNuySU4Rotc8ePFTkRR\npKfNH7coV0rRBf08j0BbTRXLFt5L8pBhnH/PQ/4XuChC4d9xr3+II11hfNueTIquizFhdYSpbCcP\nzrsMLnrrxxs/gf8EeS786nN2LnufW95Z+i+7/D0eM01NS4mIOJ9N5XDnJ0e4dnQi8wb1UXn8JnY0\njWF4zh/JD9tMbd1rKBRhjBi+Fru9gebm5bS0foFen0Nm5lMICHi9diyWMpqNnwACMpmenp59p503\nPf0xWlpWYjaXkJLyZxITTlYB7OrawZEiv5b0yBHfoNUm9/e1r68YvX4gTlcbdls9x8sWEBg4mNyB\nb51CoA+tX82299/hxjffRx98Mm70xXkzAb+0XWRq+hmvSVdTI1+/9lc6a6uZPeFcgoYM4fNPPsDU\n6g/HUChUDHZBcNFR/7JRpeLopDFY8DHlxtsxyJUYr78BT2srjQOGorZZCGxvQpEQj9xhx9XczNHz\nJlFfW4nO7mJ8RSMdsSm8lH8FfS6RUbI+FJVlzKnYghgVQ9vFV1ERm8WSgy088fVzhKkkBD+wgENW\nKYo9u4isP44sJAStx4GksxOvqRtZeBjOY8epCozhrgm3E2bvIdRmwhkvIDMKJNlayGxtJD2/Atnk\nLkLfDiA0YQr6yZPRjR1Ly2OP0fftZtqf9OARbOhKA5GGBGNL6CE7+2VCgsfSXb0V45EPkL9cga+z\nB6nBgCI3jfYRlZiT2gnaGIxqjRmZIQRvdzeyyEiS16xGqj9paNi/+wL6HKUggvaQCqlEiz3NgVtn\nRVElEL1nKJG33IMyNRV7URGCTI527Bh6+w5RdOQGPF4zOl0mel020THzMASe9CZZrJV0b1uJ44lV\neE8kAsa88goB06f9rGfD4WjBaPwUp7MNgG7TbhwOv9pIfPx8nI5WWtu+RhBOvhcHZD5LT1cL1cWF\naKL2EKCZxbARL/eTRIfDiFxu8BPvfwE97TYK19RisrQxdGwOhggNhnA1bqe3f34Mi9fT0eAvKDR4\najx558Rht7jobLHiFCBv2C+vdf1zYTE5MHc7iUwKOKOH0efzsH3HRETRiEQSQ8GEHacQbLfbTU9P\nDzKZDJ1ORWvrp1RUPkFPTwx63UKmTp0KQLdpD4cPX0l4+AxyB77+O3n+mTgTebZYLNK1a9caXnvt\ntYZp06ZZbrnllpjNmzcbfifP/wS0mdmi/s3TiwusHZLGsMB/Tj9TFEUq9rWi1iuIzz5JkutKOtn5\naQXWHhfzFuYTFOlvd8+qag5trCc9PwKP24fPK1JX3MkV8w043vgzpj3NKMNVGK7/I0GXX93vKnT3\nmin9+3pU0REMCN7Al+tjMTpPJrg0hMr4YFIAAU4nN3eUEOco47HIuXSdQRoptq0Fq0rNoL1F7NZl\nIIoCr6XWkX38FVRyNzemPcqhiIFou81cvnk1H1w4F9cPXJZD9h7k0tGjSIuN4NplB7EFyAgwe7g7\n30B1aw9bG7y0/qCqVrC9lxyJBbvFTi5mclvs2NURDJibS1GRAnOX45T+hcbpSM+PJGtsFMofKXPb\nD48L2o9BVxWsvOHECZPBbvL/GeJBGQD6SKjaQhcBrNFcRLc0ApsuF3lAMCqpnZaSTXziPqmqEKCS\nYXV6yJIZKXFHkxetZXBiGJ8daMTq8nKZdCt5QhVmQYclciR7O5Xss8cwLbSTK6eOJjMogvVvlmLu\ndiAIkDI0nMFT4untsOO0ecgZH9N//+xdVc2hjf4KUkqNjHEXRJKaLUcaEA6Kn74fD6z9kh0fLWbg\nOVPJnXwukt2voC5bwafGkfTaTj6jggDjC3IZOm4EQvk6OL4G7q8F2U9LZ/0nyPOqvz5Bd3PjKaW4\nz4bDDSaKGnuYOkCBuXMxra1f4PGYESQaHty1gPiwJN6+NJBjpTfhcPpd5W6fFAEZgiBHJnEhCFJ8\nPjtSqQ6tNpXkpDtPKVP//Tvu+0nPaq2mtW01dXVeJJL30KgTGTFiHaLopbjkVjo7NxMcNIa8vL8j\nkSg5fORaTKZ9iKKLhIRbSE3xx0WXlt5JW/vaM44rJfkeEhNv7f/8vVX+/HsfIi1/FOAP2Xj58gsA\nv/zeBfcu7A9tKd68gdIdm5m94C9sfPMVKgt3E9ljYUi9nzh5FQoaAtToHS7ULjdalwfHoIEU2nsY\nW9lEn1KBJioKtakXr8kEQLkhjgCvA5MqgDptGDldNcSb/ZbArsxBxF0/D+O7S5HW1nDdlAfxaXUs\nuS6fUJ2CW5YeQnX0CPcfXEaIow+vIEF6QtM6/MknCZkz+6y/tbOhgcLmZbjECvC20tHXQZi6u/97\nqVSL12sjLGQKAwcsOiW8wtXUTN28ebjcnVhnSrCM9MfaIgOVJAp1pRpTUg1IIHhrBKrAOMwjrFi8\nlYjiScuoujeU0LJ0unLqcLe2oG+JRpYbj03bjsYWQbt2N/otSsKaBqGMjsfb24urrg63oxvTeXMY\ndd+Plx43m49RU7sIi+U4DkczOl0WAzKfxmItRxS9lJU9CMCEYQcxvf8Rnu4uIh999KxWZ5/PQ33D\n2zQ0LMHt7sXn1Pu9h55g3K030NHoZHBBAQML4ljxwvuEZO4iJi2U1tYvEUVv/7WNib6UlJT7kEh+\n+dyKM71fKgpb0QWpCE/Qs+T+7wgIVTHngWFIpb+eRfmXRktLC8uXP01oaA0mUy7XX/8gOp0Oj8fD\n8ePH2bBhA7YTiZ5qtZqYmBjcns+IizuGVPISEyfOoq19PaWl/jjnCeOLkMv1v5Pnn4kfI88XXXRR\nz/z58xMFQaCgoKBvy5Ytgb+T538CyoxscdWu7xio16AQBGYfqSJbp+at7MRf9DzWXmd/HKwuSInb\n6cVicpKUF8b0G/1xh3UlnXz9RjGz/zyUiAgRV+HXKCZcRmeTlb2rqhk4MRZbn4uS7U10Nvo1IxMT\nHdTVqRg6Vk3axIGo3C2sX7SDjZGZZDS5MXjM6OUmqmQJNIXKOHdAODMvTGPz9h0sCYplm8lyWl91\nR9qwh+rwhasQpHDunh1sGjEWt9w/EY3s9DAnK4o3Dx2iOjaO4No2fA4BS2owHrkMudND7LqjDOqs\npMB0hJS+ZupD0mlwqpjSeACpz3faOevjJqHQawkROsFYT/isyQTfdS9K9c+w+vc0wO7XoORzfxgC\nQHAKJE8ARx94XTD4Skj/gXXGVAeHPoS2o9BaCn1N/V85lKHstMVTL0YwNDmC3NwhuPcuRtVZxHue\n6XzunUAdkahws0bxEDFTb4c+Iwy/EUJScNstLHz5dTb2JdKDnvw4PV6vBLHTgUchRdfjJsIhIBV9\nSIHHnpmIVCawY1k5R3YVITcVkmFpRO50I0eLVOpDES4lpUBO6OVPQJA/icXp8fLMujKMPXYenDGA\nhGA1Oz5ewsG1X/aPJUgvw+qRM/LiS0kfOYau5kaKN2+g+sA+IlPTSUkIZqTxr3DlF5D608oUvzZ5\nNlaUseLxB8gumMyUP5w5IearI828u7OWR2dlkhbUiFabQ/7TWxkSuoWLUtehlvld/2ZPFAqhm2Zr\nAhec8zmNlTdgs9eSl/t3vD6Bld/9HY2vkA+OXcrI5BAuzTmGPmAgkREXIJOdvkh5bPVR9tZ0cfs5\nadjdXg7UdbOvtpumbiurbzIQG2xAr/eHM9hstezZOxmAvNx30eky+G73BEIbc7AFdyKNDCVrwLM0\nNS+luXkZWm0aUVGzUSoiUCoj0apSKK96nPaOdSQl3kZi4m1IJDLcLidvzr+CyNR0Zj/4OBKpjJKt\nG/nmnddJHpJPQ2kxKp2O8+9+kKi0DJYtvIeWynLSR4zB1NZCR10NU1wy1F0mIh56iPqXX0JW59eM\n9UglNAzKZvzfP2TpXx4lY9sWonqtWOUqdkXlUhMYRUloCtddPYWrRyUC8G1FB1cv3ofBaeFy8zEm\n7VuNxuMnpEuHXsjCJU8iIqI5EeomiiJV7RY6e+2ENFaiPVKIXABFQjyBF16IIP3p8vN9fSWUlT+E\n2XwUtToRmUyP2VwCgEaTQmTkBbhd3QgSOclJd5xiCbX2Ojn8TQMDc5UoRTvK1FQs1Yepv+JKPJEi\n3bd6EJUQ3JGFJ06gz3H0RLvJhIVNIzhoFFZrJRWVT/S3KZcH98ukAUi7wRsISGGg9hnCR5xaaAj+\nuWfoe3f/mTByxEa02lRE0UdV9fNERMwkQH96kSGTaS8ORwvd3YW0tq3AYw+iefetxKWOwOP04bC6\ncdo89HXacTu9aAIU2PpcDJ+VRP55SdjtjYCIQhH6L1uWfy7Odm0cVjcKtew3ITP6PTweD++88w42\nm42JEyeyZs0aAPR6PRaLBVEUiYmJIT8/H4/HQ2NjI3V1dSQmSgkIXIQgXEViQhC1da8CEBl5EdlZ\nLyAIwu/k+TeC/7PkOWfIULH00MH+z26fiFTw63H+0uhusXJgXR1etw+ZQoJSI2fItAR0QX6LX2eT\nhU+fLGTaH3JIHXpSBWPNa0U0HD2ZGKHSyZlwWQaV+9uoOdKBTtLBZRO2oxD7oGIDDfZs1pgeIynw\nOJLYoVQfszHqwhRMbTbK97QQmRKIqbMXXXQQxgmhRH7zBaUt7STIBD5LzaEkNROA7Noq7li+mKEj\nh2Msr+KaW+4lRqVg8yg/SfimqZ2rKo39/RpddIDB5Ud545JrGF18kPT6GrqDQzAH6oltaKQhMprc\nPiNDg7QMcpWwu3YCBIYzcO8jeFpdIJGgiI9HcPXiNJqIuuNytOdfhTw28dQLaaqH8vWACCFp+D6/\nGXe3BeXwc0EbBvXfIV76KdZj9Uh1OuSJif7YRN2P6LV6nNC039+u3cR3lnjGBDRD80Go+w7MRpCp\n4ZIPQRMC5V8jdlbjcZqR583DN+AiJP+YQCSKOKu2s2Lp2/zNcwEtXn8ccqjEQq+owS1K+NOhFeR2\nVrNhxj246ssZXfsdAzur8CHQrAvFJlOh8bkI9DgJsPXgUGkJzw0n+M9/RZmexgvrjmFcvgxvlov0\nMddy+2S/6sOaV56jYs9OAORyGbMXPk1M5kltVdHnY8/K5ez5fDkAN2eVoB00Ey544yfv31+TPPd1\ndvDxg3chV6m44qmX/HHblg7/YkiQgC4co0PBlJe2kxl0mAtS1hGja0Guv5g1JT1MT9xKeU8WX1Zd\nTGZwFTsbs5iV2UxBxNvExFyO0fg5cXHXkJb6gP8aiCI7Kjr45lgbH+9roPDBSYTpldz3eTEdZicB\najnXjk5gaEIwbX0ORjy95ZT+6lUyhsQHsaOigwXnZnLThJRTvvf5XHy7Mx+5PAiXqx3R5yXsMQFb\nvhfLef7Fo0SiINg1hODCFFQBYfhsNrwWs7/csEGN45EUOr07MQTmExd3LS5XF73VkWz428uEJSSR\nMmwke1f6f8Mrnn4ZiVTKVy88hdXUxeQ/3Mamt17FEBmJqcUIosiYnKEErviS4KuuIuL+P1O2eSP1\njz6CY9hgRt12N6ubfLz1XSNdFhd3GDqZ+v5zvDnjdlLOnUSQRk5quJ6xaaGnjHNfTRcp4TpCtAqW\nbS9j9zvLCLT3ETLvPO65bOovdn+Iosi+whlYrRXoddnk5/sXiDW1rxIWOpmAgFMVJexmF3aLG1uf\nC7fTy9GdzdSXdKELUjLigmTS8yOQSCW0Pv8CHQ19GIaHop82EkPEcJzONozGFag1iUSEz0AQpP19\nEEUXdXVvIlcEExM9j9rav+Gsr0VmMBCruwRpcDAelR2tLuW0McA/9wz5fB6ajctRKELQ6wbQ2bmV\nyip/DYHsrJeIjLwAk6mQQ4cvIypqLlkDnj3l+D5zKfv3X9D/ubd+BPa625l4ZSbRaacm3vq8PmqL\nOqkobKOprJvz/pj3i0ttng3/Cc/WfxLt7e2sX7+e2tpaLrvsMpKSknj99deRSqVER0cTGhpKZGQk\n6enpSP9h4SiKInv2TsJu9y9uoyJnk5n5JBKJf575nTz/dvB/ljwPGzZMPHDgx6v3/SfhsLpZfM9O\nxsxJZdDkk9JpK58/SGuNP74tb3Icg6fEow1U9sfH6j6fgbzziJ845l0GieMwLn2aiHl/Rpo9A5fd\ng0LtV47YtrQMW5+TXnMPLpMMlVbG+XcOIsAgR5DLOXTTTVw3ZQ7ZNRU89tVyIh9eSMD06QBYPH73\nnU52cjLZuOULVEtfxRWiZpzrMJZWGXMvfJWyaP/kESSTohB9tHlFAkUPvYLfCiX4RELMXi4OM7Dw\n2F34GutQTLoeicSHe82TlK+LpjAzj7CebtL6mtEnBBJ6yTm4DmzCUdWE6AWpyofXKaG3UY/HAsqM\nDAIvupCA6dMxPrSQrT1WNg8fw+7coczdso5bm6vRjR9H8HXXIfmJwhmnvMRFEdqPgzYUdKfL+vVt\n2kTzPfeiTEtFFhyCNDCQkJtuRJV+Iva0YiMsm0evqGG5/GIuCWpB3niQyr5g1Fvtp7al0dI8eChD\n776TwBANRy06Pthdx+ZjrUyuK2RIRyWj2kpReDwgkeCUSDDfZseVLtJsz2di7nQslnJCQqYiK2+m\n7rOniJz3DCFDZuJ1+05LWPxeLWHGqBAG2LbAveUnQ0Osnf4/Qxy4HaDUsX3Xnp83udXuhJ0vwLAb\nIOt88Hr81n/FmS1XHreb5QvvpafNyOXTYgjpO4SvvRKnx4NaOFGgQxnAgpj30AjvMTqmELMtkOO9\nKQyPOgRAUNg8wmMX8ocPD3K8pY+7Jqdz5+Q0KiqeoLHpfQByB75NWNjkU85d1trH9Fd28szFA3G4\nvTy+5qSOqkSAjMgAylv9iauf3TwKtVyGXCqQHKZDKhEY++Q64sKDWX7jyNPGdbzsIdra1hIZeT68\nUwnf1eMNh97LXUTmXonsMyPW5WvxISBBRNBokGg1KOIT8HZ24jIaEa/NoG3wMXw4TozhLXrr9Hzz\n99ex9fqT8VT6AG58/T3kKhV2cx+fPHo/3c3+BPR5jz7LwXWrENeuJ6O1G2lwMMlfr0UWFERPawuL\n7/wDhtm38261jJZeByOSgok2qPnycDNyr4d3bhjFxMyfL2d5sL6b4qZeEl11TPw31B/+EZ1d2ykq\nuoGkxDuIjb0KhSL4J/df+vAeejtOfb4Sc0OxmBx0NlqISg1k2h9yKN7WxKEN9RgiNGSMiMRp9yCV\nCeSfl3TG/Ip/F/9IEJ02N+vfKiH3nDiSB529YuDWpaX4IuYQGzeHzMwnOXb8AVpaPkOtTmDUyC14\nvRbcbhMSiYrGxvdpaFxMQuhHFG+xYGqWce1z4/5nLbf/18jzZ599xtGjRxk9enR/3LLP50PyMxPs\nGxreo7JqEWmpdxIXd93J0BxRRJBIfifPvxH8FHn+Tes8/y9BqZEhU0iwmJz92xwWNx2NZpQaGanD\nIhg752TBBkEQ/PHTc96AvmZIOQek/li06Mcm+SXlAMWJ0Ae5UsrUG/xW4+3bt5MWNZDVi47wyROF\nXP7YSHxeN0FX38eG2n0EzjoHzZ//2H+usj0tHNrUgCFcjbXXhUIlJTrNwLRzL0ZINCBWbuZA1TyO\nyqP5dPRAhOgw3C02Sjc3UnmoC8+ECMaGBrNxbQ2GWXGUu51UBIq847JwIPVePmuZh2TbYwBIohN4\n9e0lrHb5+6912hldcoDbnvkAnd1GZVwehblDUDjszNv8NY2R0VTech0Jhw5wZN8R1ksMJGQMYWv+\naAyiD7XPy+GCyfjeKaZj0at0LX4P7bix6AsK8LlcSJRKAmbMQJCd4VYWBIjIwtXYiOm1Z1BmDiDw\nQn+hAGdNDcb7/oxEoUCqD8Db14e9pATLzp0EzjwPRWIi+ilTkF+7FnVNOZOfXUFbQwOgRo0dBAgb\nY+ZQew7ZCd1kPvQBQuTJ2PUxwJjUUIw9dtZtTWH1znrW6I9yd8xRMu05fF39LSnpJQgOiFHvp6Jy\nPxJBgbFlBZGSTAYHG/HljuOzFw/i8/i47NGRfgklnweXuxNViIWgJKjzhDPAZYZ19520Pi+dTXtt\nJcd6w6m3BhGoV2CYe2YX8imwdMCKq/0W47pdMOJmKF3p/+6W3aA5nfQ0lx2lva6aGecNJ6T8Rbyi\nwE3ypzgkxvHUiC7kso14vcWMl92OQuom0ZFEojeTMItAYWsO4ZpOCiY8ilSqZN0dY2nrcxKu93tz\nUlMXYLGW09OzH4PhdBm/jAg9ccFqlnxXS12njUmZ4QyKMzAkIYh1JS3UdFi5bWIqkwZEkBd3uiVu\nULiMtTVdPPj6eq5w16I/ehhFfBwhN9xAkvQaYsVJWFfuxfR1EYuzz6MgVELKE+twSpbgdLvZPGga\nLydMAgFSIwIYHBdEWWsf58arubBkI70rVhO6yot9tBzbSC+Vx59i1LhtxGRmsW/Ne2iTSylx3sAj\n6yp45uJcySFTwQAAIABJREFU1PoA0keOZe/K5Wg9PrTllUyaOZv61ZuQBASQ8Mky2u3fINq8yGR6\nrv3bW1z/4SZ0yhSWXJdPQXoYogjDEoNICNaeZmk+G4YmBKO1v0SzcS9dXVIMhmH/krvf7e6hq+tb\nRNGNIMhpbPoApTKKxMRb+q1vPwaLyUFvh53I5ACGn5+MUi1DoZZhCNf0F/LYsaycT5/aj8PiT7zu\n67Czb3UNUpkEr8eHIUJD5shfvxrikS2NNFf00FzRw7XPjUEb+ON5B163j+O72okaMYRm6XIUijDa\n29cjlWqw2+vZui31tGPsHTls+NQfmjfywvj/WeL8fxEtLS1kZmb2E2fgZxNngPj466mpSSY+vuDk\nxrKv4avfnsbz7zgzfifPvxAEQUAbqKRoSyNKjYy+LgeV+9vwun3M/GMusZk/Ym2JzPH//RCSn44f\nBIjJCGL2/UNZ+dxBPn/2ALY+v5Uv75zhuA94GKi3oAlQUF/axY5l5Xg9PkwtVmIyDDhtHgrX1NJW\n10fasGyqasOoO+pfYO76zIhE2oqxsge5SkpMigHjtjb20UZytJZLC5L7V9Gft3Zz2/EGnp+3j0Fa\nOe0uN7vNbjZ2W7g3MZJkjZLdJgufKNU0JmfglMqpDTzpcqy8dj67rU7sPhGST16D6rhE7kuM5I6E\nCJ6oNvKRsZOEr1bh2L+f3tWrsWzf4XePn4B56zYkSgXOqmr0YWH09vYSMHMmglSKt6eH+iuvwtPm\nT7TqXbkSw9w5dH+0FIlaTdLqr5CH+61zrsZG2p5+hp5VXyHabLT/9QUMc+firKjA3dRE+H33Ig0O\nQaLRIA8LRP31LKbG7oHr1kPkmauaRRvUXHZOMvZNRjRj1kNwLfucRwhKB8GsIPIhkefmzuZZ6TLC\nfUaqUgw0RZXRPiYE396ZhAw3YTMlcvNz5zMpdxPBytL+bPqEqeC2VtGtuIHgPYshIgeCEvAai/is\naQxurwStSqC608fIrkqo8kDKJL9FvnQldJZDYCw07vdbqbuqwG7CfdmXeFfcgGrPG5BcALXfwmtD\n/NKG0UNAd9LK1lrl1/BOqlsMieNYlvA0tXu/ZXbGUgR5ER5BpNkaTWJgI0pJKMnnfoMgCIwBRm19\nGue3r+CMOYxl117shw8jCdDjvOkmJFotyuRkcge+TW/dXuzb9iMZPvwUaTFBELhhTBKPrTlGmF7J\n83NyCTmRWDsm9ezEcXqinO+qLMx+6y9IPE4sMXEIu3ZhWrb85DnkckoSclmbNJrDti5ei4omZNJE\n1BfP5bUPKzknPYzc2EAON5jYeKyVHpuboqZemkbOYsg5l5JZdRBx+3Y0a7ZhvrKR9opVaGIGoErZ\nQJ+1EqX1KJX153G8JZEBUQEkDMyj5OMPGF3bSusCf4KZBAh/9BHMunaOHzm5CBKRckeeF3nQXYzP\nmHDimsAVIxLOOnZ/IpmA12vF4TCi02Xg9TppaV0FODhSdB1SqZa8vMUEGfJ/tB2fz8XRo3fT1b0D\nEJBJdThdbaftl5ryMF1NTtrqOohMDiQ09sxhWG21fk/B2LnpRCSdKtsoCAKZI6MIi9Oz/u0SVBoZ\nc+4fhlQhAR9IZALL/1JI8damX5U8uxwedn9RzdFvmwmJ1WFqtbLzkwomXj2gP89DFEWqDrZTX9qF\nsaIHc7ff+9Cy/1qS8kL742Az/x975x0fR3Wu/+/sbK/SrnbVZcmSVWzJcu/GBptiwECwA6aZltCS\n0AIhyQ0JCQkkEBISLjGBhNCD6cUGG9xx73KTrG6ra6XVrraXmfn9sUayYpt2yb2BH8/nwwdrdsrZ\nM7Nn3vOe532e0gepPfgU/o4ihleMwpGRSWfn2/j6muncvYAzrxtJ3igHetN/roHS1w2RSASPx0Nl\nZeWXd9JYEF7/Lhg+Wev+G3x18E3w/CXCkWPG5w6z/d0m1BoVJZMzqJidTVqO5dMP/gJwDbNSOTeX\nlmoPlXNyaa/zUrUmueRbv9tNPJLgeFZO5Rm5zLgkmf3e8+FRNr9ez5H9vSDAtAVFSHGJbe80IWpU\nTLu4iJEzs9BoVRze1kUkGKd4YvqQyvCFGXZe7+rjr+19A9s0gsDPhmfy/WHpAFycnopBFHiKpO72\no4WZzLZbueFgM6t9Qc5Js3J3QSZNoSjN4eiASsqUlOTLtdxiICwr1IeilEyahGnSJBRZJnLwEIJW\ng+fZ5/C98QZiWhranBwM69fTvm4d/StWYpk7F/+HH5Jwu8l/9RXCVfvwPPMM7fckubPZjz46EDgD\naHNzyV3yFxRFId7SQu9Tf6PvlVcgkSDl0ktxXH/90BuQuxH0NrCkf+J9MqXoSEnTkWHrIBjIIpBQ\ncFncxDdMQkjsJHNviPNGPMbtFSJXWN6jVVmOLAp4jxTgMRYx3LmZS5yP4ItaeL95Dp6QA2/USroc\n4+LK56gW+5heej588F9gSKWbXCJxgfNv/xGmuJuljz+Na/ODsL8Xpt8ODWugc99gAw2pEPYCCt3Z\nF7D0wSXojTO5/v5fonIUwIE3YOVP4aVLQNTCwqehbD5HD1Sx8eXnSDWBXp0gNO8xXnlpA3dP/As6\ntYjaNA+r80Ys8TSsyvsU5swa8vyonMWo+iUaF18DCOhzUokeCtO8ajUIAtZzz0Xq6yO0cydKLIY2\nK41hPzwL9dQrwV6AoigsmpBNTaefheNzBgLneFcX8dZWDOPGQSJB/4qVJHp7sC9ePMSNz6xWeHFU\nHOGdKA+ffRu7HcP55yQd6Z42RJsNtSMNYVQ55z24nkUTc1l50Mpl6XeRbzURWNZKTJK5Zlr+QIZX\nURT6wwluW7qHV3e28kJCBozgPJeCwGh+7nmYQ9EfI7cmUEVF0EOGqZubK//B9c+M46ZMFdPee4ZZ\nh1tQ0sykPXQv6iMJoo1NaM8+l+e2vUCxDp6r/RG3nqbC25nkyUq+vyLL30Wl+mTFlY/R37+Pfftv\nwWYbhyxH6elZRWbGxag1NmQ5jEq4mdLSApqa/5uqqusZO+Y5bLYxJ5xHUWT27/sRPZ73cTouJhrU\n0h95GYCxY57DYMhDlmMEvGHW/N2Pp31H8kABSiZnMPmC4VjsQylYnY0+RLWKtNxT1DgAjmwzl/9i\nMrKsDOrvH/vfyOmZbHqtHp87hM355RfJddR7WfXMIfp7I4yZm8vkC4az+4Oj7FjWxJFDHoonpjOs\n3EHjHjeHt3WiN2vILk6heHI6XU39tNb04TT+Aostj0CgmljPbA69noZGJ9K2Tea0RcWMnvYt3nl0\nNxpVlBH/MuZ+2djhCxJISIiCwHibEdMx/u5DTR04NGquz/l0OsrXDV3HEi2ZmcdNwGIh0BiSs9Pj\n0bwxqXgkapOrxwWzkt4JsoyYOE5StH41xINw+cvwwy+mgf8N/rPwDef5S0QiJhGPSWgNagRA9W+S\n5DkVv0yWZDqb+gl6o+z98Ci5ZXZaD/fR1dTP6VeVMnJ61pD9g94o/T1hNHr1QCaovc6L3qTBnvXZ\npP56Ygn2+kPk6DU4NGpEQcD+L9raEUlmqy/AOKsJ6zHOtawoRGUFw6f0UU0wzOzthxltNjDGamS+\nM4VpqWbEY4OYIkkk3G7U6cmXzLq1a6k4coTu3x4zyhBFHN/9Dq7bb0/uL8uEd+8m4XZjnTfvU79f\nvKODSE0NxokTT120eAokEgEOHPgBiiLRW3sGgvN+ykofIlMYwetLaunqSmFs9V9J7T5AXKWm1ZzG\noZLT2VlgRxJFTL1WyurWUDSlBn1cJNh3Oa4rz2d0kZ0Xdrfwh7X1PFzxC1JSRc6csxqWTAXvUTbm\nTKTP2s7wkRczfNj3+et3r0VRBOy6MAtyD2BOy4A590Le1GRGxFkC8RC4D/Peayup3pw0XRg95xyk\nRByz3cG00ychLb+b/pZaHHTDeY+w5M9vEooqjLD0cOZ3buCpnn5G6J5ApzEyfeoKdLpP4dt27qfn\n1nNw77NSdLUFTayeiEega4+NWEBEURnQ6KPoLGGMzhidu2xoLRLmrCjYC/Hu9yOmOil45x1UWi3x\njg78a9bQ/buHUGIxBIMBJTzInRXtdnQlxaRcfDEqg4GW225HkCTULhfa15dzyVNbSTPrWH7rzIFj\n9rZ4uejxTTxx5TgKnWb+8GEtwViyfmBeeQaLJuaeNLhJSDLNvUGqO/z4wnE6fGHiyx5k6hkbMWxX\n4WwbQ6Cvmb4rPEgu6NkwjpGvHCSsNqAeNozuGxJoTAex2qZz0DeXv22OMMZ5gG+NWM7Ptj2GNySQ\nZWygIlNift6fGVP5DA7HzBPa8TGOtvyDcDjpgna49l4EQYskDar1qNU2EgkfomhCkR/m9NPPJhLt\nZPeuy4jF+5g08U2MxgI8ns3IchRRNNLc/Dievk24919Eb3XSwtzgqCc1S0DLJMKBOIqs4PdEkCWF\nqd8qxJlnoX5nN/vWtqISBQrGpDHt4iJMNh1SQua5/9pMWraZ+beeGKx/FvjcYV64d8sJtSdfBlZ/\nsJbG91TozRrmXDOSrKLBVZDuI/0cWN9G7bHVRoD8Cgfn3jx6QD/Y5w7xwr1bOWNxGWXTkoHZ8ser\n6D7q59L/msTqZw5x9JCH6hwNnSlqNIUWguk6OqJxZtstlJsN9MUTRGWFnngyMWJRqyg06rGoVfji\nEt5jgfBVWQ6sapHeWIJXOz3kG3ScnWblrW4vLZEYYyxGZBSu2NfIx3L5OpXAtBQzs1It3NeQLCav\nnVkxMGafCrKisGH9embPno07FqczGqfCcuqJi6QoA+P3fyK2bt3KihUruPPOO7GazfD+3bDjb5A9\nAeb/aXClOBqAx8YPqkRJMbDlwfRb4cDrJNqqUJ/5c4gFkt4F/e1wVx2CWvMN5/krgm8KBr9m+DzF\nGYG+KNvebmDGJSM+XWv5PxCKovCbxg7+0Zb8DQclmUydhm+5kstfoy0GLnQlX2J9CYl1GzcxbsoU\nMjvaEdQimsxMhM9gffxlIx73sbfqOvz+/cd0hpMvVLntccbMms7rD+3Cmqbn7GuKEfdsIHS4lkPL\n15HtTtrierUmrLEQqEXULhdyZyfIMur0dFQmE6Taucc4gbFjtzO5ZCuzZ1WhrluH/MoVrJ6chUob\nQ1EEpKiVnt2T6a3rJx7xMWZcEaXzryUajWG0ppBROMjDj4ZCPHHjVRRPm0JbdQ2+ri6MthRCPi8T\nLriY9ppqOupqOLNSTWHwI5bUTcFljOA57Uok03Iq05IFgCUl95OTffnJ+6Wri/jRo0h+P6ZJ4zhy\nVpLLXLCxDhKRJJXEPhyenpekkZScAyXnoViz8a/fRNfTy0j09IKsIOokpKiI6647UBSBnj8/hhKP\no83NwFamJ6HJRkxLRzuiHLQmgtu3E96xk9iRIwPtscw7B8sZZ2CbP5+nNjTym/eq0YoqnBYdf71q\nPHe/to+6Lj+bfnzGUBfPz4lQLMHsB1dxSbCW225bgCoziwefXEHmq39n+K17kC0gSCId4Wx8Ug4l\nts3sc4+k2N6KXuxHklW0BrIYbg8zcswGLn1yK009Qb49zsm5rmvJzLyY0pL7T7huLNZDT+86qqvv\nGdiWmjKF8vI/0dL6PB7PRkZXLEGrdRKNdgIKW7fWDowvVet30R25CpOxnOKym6na952B86hUBtq3\nL4Tg2ZSfloMr38rRQ73sXN4MQHZJCqKoQq0VGT9vGK5hgzSM/p4wH71SR/O+HtQ6kfRhFrxdIYK+\nGOf/oJJho764JfrLv96OLCnMWlRM1oiUk5pffBG8+vhauvcrXPqziadcTfR7IvS0+DGl6EjNHGqq\nJCVknvjBOiacm8/k+cPxeyL88bdbaTzDycgSOx2ROAdbfexTJydnNrXIKLMBgM3ewYmOCrBr1MQU\nmf7EidKhH+9TZtZTH4oSlRUEIN+gpSkcG7KfQ6Pm4ZIc9CoV6z1+3nV7aY/Gh5zHohaZmWrmikwH\np9ktQwLftkiMM3YcxpGIEtYZ6Dh27B9Kcrk8a+g9bIvEuHZ/E/XhKN9ypXBFpgOtSuBgIII3kWCO\nw0qOTsu7bi/z0mz4JQlvXMKsFnFp1ei+gBvuF8Fbb71FXV0dd915J8J7d8KuZyB7fFLBCWDMlRDx\nQuN6iPnhupWQOQZqlsHWJdC2E9QGIqIRffSY0pY1B878JVQs/EZt43Ng7NixpXv27KlZtmyZ5ZFH\nHklfu3Zt/f/m9b8Jnr9m+LpVNn8WKIpCRFb4oNfHa519rPX0IymgAGMtRtqjMbpiSTMEk6jijbFF\nVH5C9uPLaA8wJOvojsWxiCL9vu001N5HOHyEivI/o9Nl4PXuoOlAMweXzUKRk8fM/0HlEEOeSCTO\nsiffQK340W3cjLlwOFN/eCNqpxPJ56Nv6SvEmpqQw2EiBw8SaW/n0QUXcNnspRQMu4fhhTfgbnmD\nfXV3s+qj8/BqKphd/hxWXR9N7zyMyf4qPbVdgIAxPYQ+ReLcG3/LkdY/YTaOobfaSEfPMzhKfRj1\n5ZSVPkJXz0u0NLyNIvqI+TUkvDnUf6AlxWbC6wuR/9078QV+SZ6lDa39+0wtvw6psQPfm2+BIiOm\npKDJzkaTmYn3jTfxvTmoY60ymZCDQdLPL8L++3eHdnAsBIpMZ7vE2udrCHgilEzNZMK8fAxmNUo4\njND8IS233EmwK0lXME8oxVSajsX/KhrDcZbBoham3AyxIErQQ7BNwLe9iZT0Gkx3vA7DpgHQ1BPk\n9N+vG2yfACatmscuH8vsks+uWnEq/OGDwzy2tp6fnz8Sk07Nj17bx+Kpw7hFtY2wrZt4pkzNkXWY\nVI24Qw6er3+Aenc/41xVXFn2Knp1FKt1DBMnvM7ja+t5eOVhrpmWzyVFz9LVvYxpU9eh07no69uO\noiSoq3+AQKAaAL0+l4z089EbcsnMWIBKdWrG3sfjy761LXy0tA7n6NdwlK78uFcYP+6fJBJ+mnYa\n2f5WkCvvn4rNmQzyAn0Rnv3JZgC+98QZn9onVatb2PJmA848MzaXkcxCGyNnZP2PqAqHNraz9oUa\nAKZcNJxxZw2j+UAvVoceR/anrx71tPpR5KQzniIreLtDuFv8fPj3Q+SNcjD/B5+fC5uQFd7s7uP1\n5fWMSIjccvko9m5o43sqHyF9Mih0adXk6rWMthi5OdeJQ6vGJIrIisKLHb2MsRgpNulRCwKiICAr\nCrICtaEIApCqUWNTi9SGIrzn9vFRn59Ki5FFmXaeb+tlV3+Q63OcnOe0UeUP0R1LMMduxaEdfBaC\nCYlVnn5GmgxU+UM0hKK0RGK81pWk5n0/z8U12Wk0h6P0xSVe6/KwsqcfBzKz0x1UmA2s6PGxzRfk\n+3kuvpfn4uZDR+iKxgnJMj2xBGen2XjP7SN8Es+ADK2GzlicXL0WdyxORE6OsxZRxbRUM78ozGa4\n8bPRk74olixZQsxqY6y1kfF7HsM07Waapv6YPUcOMHf7b7A2rwFbLhTNhVHfguGzaIvEiMkKohTl\n6K5XGD9iAtsPu5k1rjSppKUZnHh/Ezx/fnwTPH/J+P81eF67dg2zZ88a0DD9OkFRFOobfotWm4ai\nyPi8OwkEa0l3nUd6+nloNHb0+ky88QSJhJ9n29y845EZZTZQatKzpbGZbaKBbJ2G98YXY1GLKIpE\na88m9BorabbKIS9mXzSAVWsa2KYo8hBb5VPhrpoW9vlD/KOigA19fpZ2eNjqC6JCRlQSOFV9LExP\nZaR9BONtJtoiMSZYTUT9MWq3ddHXGWTWZSWImqHX+nFtK8+09fB0eT7nOgeXhY+Eo+TotQNZn4TH\nQ+2555Pweam920BKbpCpU9+nuflFWjue45Y1v8dmNFBh38nisr8R7svFkNqCmW8jqZsIJ5K/Gzku\noCgConbwRdbWN4zs1CPHaeRKKLKAoEqOFdHmM6he2UF4TAnDRm3BafAwZvTjpGnH0f/uu7gf+2/k\nYBCVwYAcDA75fqmLr8J82iyidXV0P/IImowMhi979wT5wURMYtu7TVStOorRqsWVb6V5fy8arYrz\nvl85sGQuvXsvXX95DlNGBGte0gUSSybcuCG5TBrohk2PwpFNSX66ITWpKhI/1i5jGuRNAX0K5M/g\ngSMlTCvN4f39nWxv9vDkVeOTdvW9DcnjTZ9SiBgLgqgD8cTgtC8Y46YXdrGtKbnMO9xpYtUds4ao\nKLy7t4k1Ox9ic/tE/nL1RTy/5Qhv7W3nyYvrEAOPYTQWMXXKSvyROD95Yz93nVWCy9jD1m1nkpN9\nFbm517F5S9JdUaNJJS/3euz26Vgsoz7zeLFu3ToyDaWs+schCirTCPr70dm3kzv+MC278+g/cgZq\njUhvW4CM4VYW/GhoHHDwozaceZYhmeZPgqIoXyqvNxGXWP1sNfU7uxEEKJ+dw/61SSOleTdVfKKs\nnBSXeeqODQQFhfRcC/2dQaJRCQFIqATG3FSGM89Kf1yiLyGx3RfApdWQohaZ47CSqlHzQY+Prb4g\nZSY9do2azmicZ9p6aAhHUfHxGlQSWhlWTyllmEGL9n8ps/pFsNzt5f6Gdpr/JXMNsDjLwbkdDQMJ\nnb54gpsPHmGj10+eXkdjOKlApVcJPD5yGOc5U+hPSKzq7Scmy0y2mdGqBN7q9vJOdx92jZq1nqSd\n9wMjstGrVGzxBXi1s49bcl38vCjrhDZ8WWhsbOT+ZStZUT4ZRVBhUhJcmOni/R4ffQmJm3Ic3OdI\nQGo+CAJvdPXxSFMnDeHokPPMdViRe92MyM3hhhwnoiBw8Z56UjQi708o+SZ4/owwGo1jQ6HQnmXL\nllnuu+++LLPZLDU3N+unTZvW//zzzx8VRRGj0Tj2qquucq9evdrmcrniv/nNb1rvueee3Pb2du3v\nfve7o1dccYXvi17/m+D5a4RItJNNmxZhtaQyduwLJ3VU+yqhveM1Ghv/iNVSQUrKJDSaFA5VD1rg\nGo3D0euz8Xg+OrZFhTNtDi7XuRyu/QWJRD8F+bciqo0E/DV0dQXwFVzNzc3GgaVLh9LLRwEDJgIs\n1m/gnKyRhAQrDxyNsS+RhUuMIAoCCTlGoXyIy3JymeksJN1aiHhchk5WFA4HI6z1+PlVQ/uQ75Ej\n9jMl8R6IVqL6MqqVYurD8SH7nOe08eSofERBQFIUDgXCyECJUY9fkuiMxjl/dx1RWcGlVbNz6kg0\ngsBjR7t5oLEDjSBgUauYYDVxZpqVb0f6OXDRt2nJSsF0WwtqoQRZEWmJetjSdA9P3nEey/fWoO09\nH5WgEI7rMWgiSHEDu+vnkuXciV3lIcv2MzR6Ne1ta3m1sYhV/SVcX/4Cp41Iozl2KdG4zJVTRtB0\ncBOdXQ+jseqwan9DXe8dICjEOhYy+2AP/g9XocTjGCoryf7jH9BkZSHHYkRr65C8XrT5w9Dm5Az0\nhxQIAsoJXHJZVnjrD7vpqPcxamYW0y4uQmtQ09cZ5L0l+wn0RTjzulEoikLBqFRUW/6YDH6zx8P+\nV6B8IeQepxChKBAPD2hVh3xRdq9oRIhvZHp90mo7WTTZlwy8p/0AJRqEmXciiGo4vAL+eSm4RsFN\nHw2q4QS6YdOfIOKDtOKkcsn79ySD7G//AzKGmn8km6KwpbGXf2xq5pIJuZw5cmixaYsnxMyH1lLo\nNLHqzllE4jLv7mtnfrmRzZsnkZmxgJEjHzrhvIeq76Gr6x1ycq7m6NGnAMjOvpLSkl+esO+nYfUH\na2leqSYl3chFPxzL1jcb2LuqZeDzwrFOpIRMW52XWYuKKflfkIX7IohFErz64E68XSEQkoWGYX+M\nxQ9MI+KPs39dK6mZJoonDRblrV1/lN/XtrN3uA7pM9A9tIJA7Lh3qE0t4ktI6FQCUXlwe6lJz48K\nMjjDbmXV/k5e2XiEHr3AjTMKuLD0kwuO/1MQkmTe7u4joSgM0+uwa0QEQaDMpB/gPH+MplCUqduq\nsWtEni4vYILVhAJoPiOF5tcN7XjiCf5QOshbX7Cnnr54gjWTSj9fu0MhfD4faxuPsC4Qo02jJy7L\nqGWJu3KdZObkkGfUUV1bx6NrN/JR0Whc8V7u1zWzIvs83nF7URTQqMCp0bBpSlJZaWWPj2v3N1Fu\nMXBJhh2bWiSuKLzn9rGqtx8DCnFBQEAgVSMSlGSydBo2Thn5lQueVz9XnetpC3ypS7n2bHNozuKy\nlk/a5/jgecGCBSP27NlzoLi4OHbaaaeN+O53v9tz7bXX9gmCMH7p0qV1l1xySf+ZZ55ZGAqFVGvW\nrKnfvXu3/tprry2oqak59EnX+CR8Ezx/xRCPe2lrX4osRUBQodHY8PcfwGjMp639ZSKRHiCOVmvH\nbC5jdMUTiOIX52N+mUgk/CiKhEbz2Ryu9lZdh8+3F43aRjhyFACt1snoiiUYDHlotUlag9e7k2Cw\nnnCklfb2l4nH+xBFIxpNKpFIGwA6XQbRaB8QpcUwj8PaM6hnBAf9XirYR7tmHHUxw8C1rYqXWayh\nlzREJBSVmQPKCLwk2+5U+VmQVcCUFAu/b6jjaESiX0kuGRbrwjxYMoKVXa24un9LmbKXvJzFFBTc\nNjChCUkyDaEIy90+tnoDbPUFuTTDztQUE2909bHhJPbqADfnOlnS4qbYqKcvkcAdS5CiFhlrNeLU\nqtnuC9IcjvH6mELaf/wApRveYde3Usmd2wHAtrZxVKTeyvzzZ9LaF+Lxt76PL2bhsGcElfYaPmid\nSSBuRiVIOGQBnVaHTgYxJlMnSpyV7+CDpl6U495zk/JTueSF31Doqsfz/QRSqx4xJ0Lqa/kY1rQj\n2mxYL7iAlIUL0JeUfManJZlh3vl+M1JCwZyqIyXdyId/P0g0lDh5kasvyjt/2ounPZk5Lhzn5Jwb\nTgxSj0ckGKez0YfOqCESiLH2hRrC/jj6VLjmWhC1umTx5NEtsPSKZBANcN4jMOIseOa8pI08wMV/\ng9HfTgbkL1ycVC4xOSHoHrygoAKtBS5+MsnZ/pzYVN/DmNwUTLqh2etwuBWt1oEoGk44Jhw+yuYt\nQ40lIdNSAAAgAElEQVRNxo9/hRTbifrYn4a3/rGWtm0KC340nozhNjqbfKx5roa+jiC5I+1c8AWL\n+b4IorLMeo8fm1pkks30uTPUvW0BXn94F+PPGYY908R7S/aTmmGkrysEx2hfVQsy2KxOkBGSaVMk\nAgYVF2baKTElx1QV4EtI7DzaymVlRdjUItZj/xUYdCQUha5onBU9Pvb5w1yRZWdGioVDwTAaQSBV\noyZdqx7Sdm93iH53eAht66uMk1EJN3j8FBh15Oo/Wdv7s+KxI138prGDP1kFVI21dHV1UV5eTmVl\nJampyRoYWVF4+0g71U1NZPb10Nbezmazg9r0XAJ6IygKqSE/GkXBqzcSUyfrYawoBGQF+Vj2/4nq\n+7noyv8GayaBhIRfklju9vGzujaeKS9gszfAc+09lJj0vDG2aECl5OM27O4P4dm9g9IpU/nvo900\nhaP8ZHgmYy1GVF9Bk5T/hOD5vvvuy9q5c+dhgEcffdSxb98+49NPP92i1WrHRSKR3SqVittvvz1L\np9PJv/vd7zolSSIlJWWM3+/f+0Xb+I1Jyn8A3O4P0GpdQySfurrfp6XlGazWCiKRdiKRNvT6bMLh\nowNcxY8hiiYkKYhGY0cl3MPoykLq63+Hx/MR+/bfRCzaTTTmZvKk5fT3V5GaOgVRNOP3H8BsLkYQ\ntHR3L0eSI5hNJWh1TnRa12eiKHwe7Nt/M17vTlzOs0lNnYrFWo5Bn43fX43dPm3Ivoqi4PPtxeU8\nm7KyB/EHaujr20KaYzZGY8GQfVNSJpCSkhxvCvJ/gNu9Ap0+C4u5FJ9vNxbLKLTaNNauXUlKykuY\nYg3k+lYy99giaVHRT8jLncLhYITVHYfwxQJck51BmvH2Y31Ugk6XTjQR4891O+n0N3MoEOKpVhNP\ntPYgKCpmqbZQJtRSquwhLdKBumEkF6othNTNjB/3/gltNooqKixGRmhUrK/fT2baMJZ2eljamVy2\n/+nwTAoMOmqCYewaNRk6DXl6LaPMBjqjcTxxifE2I1NsZi7JSB14+QYSEqUb97Pe42fKRRcgbHiH\n9O0WwuO8GOxhJu2vI/u9Wzj6zlRMU6fx4d459BhS+Ok5pby2q4Jb5mRzQWUWcx9Zj1uRKZJAVgt4\n9QLnFri4/+IKEvdtIIzC6GCUNk0C9/YtjOppJHL6VSgd7yDm9KJuMZHSnYr1zkXYr16MSpecWNTu\n6KRpbw8zLhnxicYRABtfq+fghrYBg4uPMfVbhQOKBMfDZNNx0Z1j2fpWI2F/jIY9bmKRBFq9GvlY\npk+lElj/z8M07O5Gq1cT8seIR6SBcziyTVTOyWXrW428uzyVC28bkywqy58Ot++H/g547VpY/sPB\nC1+2NCnXt/PvySz1/leTgfPZD8LUW5IBd09dkgspx+Hly5PZ6um3wxn3npTGcSqcSqPaYMg56fbk\nZ3lkZ19JR8frjKn8GxbLKNTqLyaRGehUMFg0pOcnaRcZBTYu/8Vk+nvC6Ixf7JUhKQoRSWa1x09b\nJEZCUSgx6UkoCnMd1gHKQlSWebOrD4Oooqo/zMudvXjiyXt3VZaDXxRmsdztY2mnB288gU6l4pY8\nF/NdJ5+sp2SZqPivsaSZtOTqtEkes6IweX4BheNcPLrsMO+qYxR2xPAaRXQmNX8vz2d6uu2Ec61r\nqWV2xsn1+q1qkRGmoQmM0Z9Qc5HiMpLi+vfVZPwn4DT7lyfRGo1GUW9agyUlj9sVI/maVKakqehe\nt45HjnTRkV1AqlaNKIrsjSmAGbVVj2LLRRZUTIz3cI4uwretYRwlc1FpdOzq8/PEoXpijXVUG6yU\nSXF+WCAwfsX1mIpOB2ty/DGrRcxqkQucKTza3MU1B5pQC3CBK5VfFmUNCZwBVILABJuJdQLkGXQ8\nVJL7pfXD/xU+Lcj938C/Tpw//lutVisfG9ioVCp0Op0CIIoikiT922Rd/r8InqOxHiLhFszm0pNm\nbf7dSCT87Nt/MwCnzdyFRpOCJEWoq72faKwLv/8Aen02el0mvb3rkeUIxSPuJTf3GmQ5TizmRqdL\np6PjdVJTp7BtWyMO+wwck2ZQte9Gens3YLONJRA8zO49lxMKNWGxjEKl0uHz7QZUaDQpxOOeIe3K\nybmakuKff2r743EvvZ6P0GrTsFpGn5IqIklhvN4dmIyF9Ho20tW9bMjn48a+SGrqoBVyKNREIuHD\nZhsLgMVcisX86UtyoqgjI+PCgb8djkHdTEHQMXbsswBEo910u1egUaeQnn5e0mTBbKB0xNBsnMOR\n5Ii2t7ezfft2bjnzTEymaTQ2Pcbupht4jUWcnxLm8jH3DDikdXUt48DB2wAoKrwHo7GAWCzG9u3b\n2b17N6Io4nK5kCSJI0eOEA6HyRC2sObyKzDl5CIKAvpAP0ePNnJ6cTHmY9SFj1eClozKB6C/v/8E\nTqhZLTLBamK1p5+7z5zEoxMv4Pztb1G9wYzhojCpTWEsc88levgw3Rt+x/NOF0euWMy0qIbv3nkm\ngiAQPnCQN8cpRCdOZ8xx7nvRxiZ6Hvg5d3ojxH1+tHW7QJIRFAlNfj6l9/6IQPRiqqq+Q8VFj2O7\neuzg/U/IbHq9foBf2lTVQ9F4F+Wzsumo99HbHmDqtwqTAbWUIBySObSxnYpZ2cxcVExTVQ/vP7Gf\nogkuxp19otFHIpGgra2N3NxcTr+ylOb9PTRV9XB4ayd9nSFqd3QSD0sDQXROaSoGswZRrWK84wM0\nHZuREjLGs25FXZRPa/MBWvcm1RlOv7KUjOE20FnAaYHFb0PdByAnQGeF4rOh6wCsuR9eXACijsDY\nu2iRLqBEklEZUiF30mBjr/8QVvw4ybdu3QGXvwK6zyd1+HlRUvwLigp/9D+icjVVufG3QdE4+wkq\nFda0oWNnbTBZqPZx0CgpCt2xOC6thpZIjK5onKAkE5Jk/tbqZqtvKP/9Y5zvtPGT4ZkUGvXcWdPC\n68eK00QBzkmzsSjDziZvgCda3Czt8BBTFIYbdOTptdSGItx4sJnRljKGGQYnakFJ4pGmLt7o6qMz\nFkctwNtjR3DJT4cavhinOMHdywtTiskvsP1bNZW/TgiHw6xYsYLq6mocDgdut5tt27Z9HLyQ7Uol\nf3gRhcVltLW1YbPZyMk5cfLX19fH+++/j1ar5YwzzsBuP/nkZP369XTVHuaBGS5229NYodfyz2ga\nzuxi3AmJ7H4P7oBCUKtncn8Pd2ireCeiwWxxcF372+R3bBw8WUoeGNMYrzHwVOEZBC+6kU2bPmJi\n/4ekvvcsqA0w+cYT2uDSaXhrXBEf9vTzrfRUMnRfPfWqrzL2799vqqmp0Y4YMSL22muv2b/zne+4\nP/2ofx++dsGzoiiEw80YDPlIUoDu7hXU1f+WRMILqDCZCrFaKrBYR5ORfiFu9wfoDdnYU6ceO17C\n178Xm3Xsl5aV7ep+b+DfH22cjM02DlGlJxrrYtzYF0lJmTwwaMfjfSQSfgyGJNdLpdKg1yeXrrOy\nLjl2lsaB81WUPw5IqFQ69uy5Gk9fcpDw+w+i02WQmjKFPu9WIBnkpaXNJRispanpz7S3v4zNWolG\nYyeR6EdBxmGfhUYzWOgTi/Wye88VBIN1AIiiEZfrPJzOM4nH+9Bq03DYk+YXPt8eFCVBYeHdOByz\nCYeP4vPtorPzLTx9m6g5/HMyMxeg07rw+w/Q0vocgiCSkjL5S+nnf4VO5yI3ZzEAPp8Pv99PVlYW\nKpWKRCJBIBBg165dVFZW0tTUxOrVq4lEIjQ3N2O1Wpk4cTYTi/SMlxOIqgUc/3NJTz+fUPgIospA\nTs5iZFlm+fLlVFVVDVyjs7MT8VhWYvLkyTQ2NvLKiy9QWFhIcXExq1evJhaLodfrsVqtiKJIJBIh\nHA4zY8YM2tvbqa6uRqvVcvXVV5Oeno7H48Hr9TIu0s9foiI/qm9j/s9uZ9d3DlG5qgFln4YWJZ/x\nr/4RgP4VK2i7/Q6GPfp72gD7tdcSOXiQ0PbtAJQtXwbHaCqJnh6OXHUVSiSCqChoTEZsV1yGv81D\n185a7IvvQNBqsWhHMmPG5hP6u2F390DgPOvyEnrbAhze2snhbZ0D+8RCUWYPW4F+5yO0h8cz05RC\nzohbEIQSho9xct73RpNZeGLWD6DqgxfZun0HYvooJk+ZgpwQUASJDS/XIqpVpBdYaa/zklAHGJf9\nEZPMB9EZLckAeNcqSC1IFvS9MB/FNZILuw9R7zqLhpCNuidjxMZMIq8iB/JnJgsDxwzK7fn9ftSj\nF2MQVJBZCdnjqfvL39j6/iH2rGpl+Fgnw8rTaKpyk5JupGxaJsL8PyXpIG/eCOsehLN/88Ue5JPg\nZEV2gqD63IHzDl+Q/f4Q1+U4iYUTrH62Go0RJpybD0B/QuL59l4OBcJY1SJTUkzoVSoO+MM83Jy8\nr9/JSWNqipmHmjo5HIyc8loFBi1XZqWx+JiE2Yvtvazq7WeZ28cyt4+RJj01wQg35Dg53W6hzGwY\nCFDmOqxYVAJt7iNcaggyyZGGUPU0R3x9TM74Pi91eHCqRar8QS7PdvLXlm5W9vRzVpqVH6VlcFdN\nC/fWt/FISS5l5sFJgE8rYFWrKBh+CppZIgq+VvAeZeTBh6H1MVjwd2jfA57G5OpD5SIom/+5+v3/\nCs01VRzdux5L3I1dJ5F7zm2oEqGkTGR/G/g7UczphNurUVtcaFOzwJwOrTsIOEZzNKDm0KFDVFdX\nI0kSo/LS8EQTOBx28lw25P4uvF2NHKyxsL+mAd5bOXDt3NxcIpEICxcuJBKJ0NjYyJYtW4jH46jV\naurq6pg3bx7V1dW0tbVht9sJBoOo1Wq6uroYN24cF8ydw7eBXysKfz7SxdJOD5dlOfhxwWh8Ph9u\nt5vs7DGYli5htiDC5cuBG6BzPwR7kvSqg2+CFE/qM6+5H1NHFWf1NSeNo2b+EE7/r1O6/BYZ9RTl\n/WdQJP9/Q3l5efCmm27K+7hg8KqrrvL+X7bnK815HjkyTVm6dBEVFf89sK2t7WVqDv8XVstoAsEa\nZDmGyVRMfv4tBIP1+P0H8PsPEIv1oFJpkeVk9XBe3ncpHH4nTU1/pvnIEgrybyUr6xIEQU0i0Y/J\nVPiF2ijLCbZtPxdBUDGy7CG63R/g6d2AP3CQvNzrGTHip5/7nKeSqovH++jqWo7VWkk02oXdPgNF\nSdDR+QaZGQuGvFhDoSZ27Fx4bFIxCEHQolYnM2QqlQ5JCiPLEUaN+gOiykB39/t0dS9HkgazSCPL\nHsJiHU1T02N0d7/HaTN3DwnAAXp61nK49j4ikdYh24cX3EFBwfc/dx+cCh/3jSzLfLyUU1dXx0sv\nvYSiKGg0GlJTUwkEAoRCoSHHZmVlUVlZybZt2/B4kln6uXPn0t/fz/bt28nJySE9PR2DwYDD4aCy\nMqncUVtby+rVq+nu7mbmzJnMmTPnpG0Lh8Ps2LGDbdu2EQwGMRqNzJs3j/r6eqLRKJKUXJ72er24\n3W70ej1jx47l0KFDKIqCSqXC603eLwVYUzqeuvRcrs1OQ95Qz6V/vA2DFGPX5Dlc+WzyN6HE49SM\nHYes0aBLTSXe3o46PZ3UyxbR85claLKz0Y8ahSY7m9iRI/g/+ICCN99EVzgcVCoElQpFUXjq9g2U\nTs3ktEXFJ/1uiqLwxsO78HuizLuxYsBaORZOULezC1OKDl9DI2nbbyNbe4iOWCk2sR2tGEU0mBCG\nTYO23UlKRMSbLABUqZLOhyHPoDoG0Keys08ewT7K8CaySO0Zz3UPnYbBomHN29v5aO/73MTzWAkQ\nVNsxaEWCqSP5KGUhPo+bqeJ+CjrfI56QsHIS3vnIi+CSZwf+TMTjHPzNTAwaFSNufQPBnE70zR+i\n2/d3NsjX0W65mJ7mCEgqguYmRMnAxEkTyC21oygK2j1LyGl9DOHuWjCePLP2WSErCq929vHbpg4m\n20z8qSyPHb4gtcEIFrXIaItxgKt7PHrbAkTDiQGVksa9boIpas5sSmpeP2914V/bQUe9j+FnCZx5\n0Wye7+jl4aYOPHGJHL0Gb1wiIA1Sa8ZbjZSZDLzQkdSyHWHQsVDTyztRM+McDs53pmASVehUAmpB\nGBK0Ho8j4Sgf9PTzTreXo5EoH04owfWvWb2QB/65CFq2HbdRAJOTuSUPcMCS1CsXFQnpmKrIDTlO\nfjUiG4Ab9zfydk8/VrWKmhkV7POHickyS1rcNIajrP+4CE1KwI6nksFx8yboT45XEgKtZGEkjJOh\nK3gAfPuZpGzZ/zYU5UTXu1gImjaANQsyRw9slmWZR3/9U/rlwefDgYeR1GEiTBdpdOIkgBE/ScqF\nCgk1CURkwiTvn16UqZAPMU7ZSybJ5F9CNKCWjhkSGR3I6RXsbupFRiCLbvZTRoP9dHo8g260ACUl\nJZw9pRzBmskrr71OR0fHCZ8rioLT6eSMUZmI6SUgfoaM7x/LkxKUFz/5yX333t1JHWdLJsz7LZSe\n9+nn/ow41Xv6G6m6rw6+tgWDJSU65S9Lchg//hXMpmJUKi1btp5FJNKKTpeBy3kO6enzsVqHypMp\nikJP7xpaW54lO/sKPH0baWt7CZNpBMFg/TF+8fEvVRWTJ7+H2TRoKBGL9RII1BAI1KBS6bDZxmE2\nl5wgB9Xe/grVNT+houIvuJxnD2xPJPyIovkLLRN+WTrPkhQlHG4mkfCjVluRpCBdXcuQpBCCSoMs\nRVCUBFlZi0hNHVySTiSCBII1qNVW9u+/mVCoaeCzgvwfMHz47ae8ZiIRJBbrRhRNqNXWTy10jEaj\nbN26laKiImw22wC94VRYtWoVBQUFvPzyy1gsFgoKCqitrUWv1zN9+nQ6Ojrwer0oikJqaio2m42e\nnh4qKyvJy8sbuB+JRIK33nqLAwcOAKDRaEhJSSEUChEOh5FlmfLycjIzM/nwww+x2+2cfvrpjBo1\naiBoPxXi8TgdHR04HA5MphMzhYqi4PV6MZlMaLVampubee6558jMzGTChAk4HA5sNhvLli3jCZ2D\nvoxsVlYUce29L3Pp/vco+tldzJozmM1PuN1s3LOH6aNGET50CMusWQhaLe4XXsT79N8REIh3dYEk\nYZ0/n+yHT1RzePXBHeiMai64bewJnwHU7+pm5VMHmHV5CS1lJrZ4gxhFFa2RGApwdbqNiW8sgK6D\ndJT8nCPqs6ick4cu2ID4zNlgciTVMrxHwZqdzPgpEhjsxFR6VPuXciThgJEXUhCqQjiyEQUVTyqX\nUjJjEXqThs2bN+P3+7GZ9Nwefpj2/IWsTEzm6NFksZ/FYsFut9PR0UEsFsMixvmhlJxk1J7/DhtX\nrmFybDmjhDqY83OYcScIAk1v/Y6CvQ8kn0fbcHSiAJ4GANpx8SSXA8mq+iIa6MFOKFSCpb8I4Zhv\n9FjTG0y7fAKMv2aw0/xdn2rtfjz8CYlFVQ3s6g8xwqijLhTFpVXTHRvUtNYKAisnFGNViyxze7Fr\n1GTqNLz9WBX6kMQ990yhZks7a1Y288w5KXj0yefdEpJxRRQsdj1agsjWFHb2h5iaYuKXRdmMthhJ\nyAp7/CHUgkC6NsnRVwkC77u9BKMhLlrzPdSNxzRwb99/YlD3P8Fb30sqqcz/E6SVgO8o2AvBWcpH\nW/7JZl+YC7R+xKa17NRkUzz6XMZ1rEflLAWNgabVv2dx5SPUaV1MNyhsCgtohSRvcqrNzMtjkskR\nZeXPeHlLMx1koNZoETU69HodYUlFjy+EXi1wSZlAvZRFGD2i1sCotpcp6FkFM+6AWfeA+t+oQ9zf\nkTQS6m+HroOw9yVwlSXVZKJ+SESIBfqISxImwklzDlcZ4ZGX8uqmOhp7Y1w0ykTe6dfQcmALy9dt\nI0YyGDXqNGS67BiVEJnDRyHFwkQDfcTDfhKKgD3UQF7vRjKFHtQV34KSecl2rPstbn0BzmlXJKlL\njhHJe7/qPjA6kqsvf58LU26hJf0smjq9ZKh6yaQHi3sn1H8I5QuIn/Vbtm3dSkHLq7gFJwFLITNy\nBEjJha5DsO4BmPfQSSkVQyBLcL8Tpt8Gc3/x6X0qS8ki3+Oe1183tLO7P8Q/K4d/YXOWb4Lnrz6+\ntsHzuHGVyiN/iCPLQzUWR1c8gdN55uc6V1f3+9TU/ASdLoPx416mr28b8biHSLSD5ubHSU2dSkrK\nJPr7qwj4q4nGuk44h9E4nEkT3yGe8NHW+iLxRD/d3e9jMOQxYfyrXxqf7j/JJCUYbKC3dz1anROj\nYRgWS8X/6HsqikJ1dTWRSITOzk5qa2sHsq0ATqeTwsJCcnNzWbt2LSkpKUyaNIlQKITH42Hbtm1E\no1G0Wi3Dhg2jubkZi8XCwoULycr6fPqgsiyzefNm1Go1kycPUmsURWHNmjV89FFSPq+srIyFCxcO\nUDT+HQiHw+j1+iF929TUxH3LVrKyfAq/KspikTMVXyjOrniU7licG3IHjT2Of2ZissztNS1s9QZY\nM7GEFI0aORYj1tSMNi8XleHEDOGHTx+kvd7L1Q9MP+GzREzi2V9t41COFv+MNN5xJ++XCsjUaWiL\nxpkkBnlnzbnJJe+KhUNPcFz2zO1288Ybb1BRUcH48eNZvXo1O3bsQK3EcGbmcdXixRgMBvC1ovxl\nKkeFXP4RORMQGDZsGIqiMLvUzvAProaF/4Dyi4nFYiQSCQwGA4IgIEkSPT09VFVVkbrzj6iNVsbe\nvpTmmi7eePFPLBZfIo0+4uNvQN29D6FlK51KOpuVCVworiScVslHvS6QQ8xjPR1l30EO9mLp3YM1\n2ExYn87vI5eQYs9k3pz5tOwJcmhjB2cMe5KScy5A1dcEjWuTXOhLX4Sy8z/TM/DPjl7uqGnhd8U5\nXOXQ8oonxh+r23E1hJjXK1B5WRFXH20bkh0+HqaIzM8+CnNILbFmopkuvcDVa/uJZuhpGWsjZFQR\nV6DJHyAkiPyiKIvrs9M++fcc7oPaD2DzY9B9CJyl0H0Qbt0L9oJTH/d54O/C+8cptBdcQv6CXyCK\nIjqdjlAoRFdXF7m5uajVxyhVPfXw/EXgawGVJlm8CeAowi8aGV2cnBje0Poaz2dfiEdtZVG8nkf3\n3A1pxexpC/O2nDR3ycnJwWKxEIlEkCQJWZZpbU1molUqFRqNhmg0iiAILB7uoaDhGUgvh2uWJVdQ\n/gXRUIBIwIvNderCz1Oicz9b336KVR0WRGRS6CeFACJxVMj0qlzoDQbUKhXNQS1xWSDDoiZN1U9K\ntJWuiJo6hmMWQvzgjh+hsyaLUqP9HmRRR0KWMZs/QzJHSgDKCdnfT30nvXEj7Hv55J8ZHRA65sSn\nMQ1ZZToBI86GK17ho2NuiPcWZmH5V/vw/nb4Qxmc9weYeP0nf5+TYJ2nn0VVSWrkaalm5jqspOs0\nlJj0lJo+e83UN8HzVx9fW7UNlUpD5eglBIKHkaUwDY2PoFZbSUs7+bL5JyHdNQ976jQEQUStNuNy\nDWaJ1aKJ+oaH6OvbgtlUQmrqVMyWMizmMszmMiQpTE/PKmrrfkV7x6sEA7W0tb+MRpOKVuugpPjn\nX9tCFJOp8AtTWgAOHDjA+vXrkSQJRVFIJBL4/UmBfLVazbBhwzjttNOIRqPIskxDQwM7duxg69Yk\nj9vn81FfP2g6pFKpKCwsZPLkyRQXFyPLMoIgfKH+V6lUzJgx44TtgiAwffp0duzYgcFg4IILLvi3\nBs5AMmD8F+Tn51MRC9IeDfCrhnbGWk3km7XctKkWAFEQKDXpKTcbiCmw0xdkpNnAdw40seaYCcHj\nR7u5qyADrUaDvqQYRVHwJ6QTXkgp6UbqtrcTD/SjMScpGe5YnGBCYsmaHbw2w0hQJ4Lby4VOG49m\ngqZhNeo9z3OLYyE7jYXgGgnlC078coKALMvIssyOHTvo6Oigo6ODjRs3EgqFmDBhAuXl5eTk5AwG\nSbYchJl3MmzVfVw38jSYcgt5eXlJzeUnZib3OaazrNVq0WoH5bJEUSQ9PR2tVkvZrYOT2mElLrKt\n5/JUbzrX6/+Ea9eTeGUn21SnURO+kLAi8WvTCBS3gA4LmcZhKPoWMqv/ljRGyZkI2WUYa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xfft2nE4njuRkzt+3CHHQBHRfW6Zyjx8thZFX48uajmbNrzEGWzhCNh9xDnmTL6Guro7W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7QW4TmgRv13DeEbLYVhpMIkQpJBj4EWQEo0gRqA4aNQupAzNN64lt+NG6StLItLRRZnJjCExzvi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\nJBtjXjfGvBv8mRjc9WFJU4Id6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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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f14B7SLrQzOrWkAFD2h02q7Y8C8oMYISk4ZL6AKcB95bMcy9wZnq21xiS32Z5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\nmWXCBcXMzDLx/wEd+vg5b097EgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from pyomo.environ import *\n",
"\n",
"# data\n",
"N = len(Returns.columns.values.tolist())\n",
"STOCKS = Returns.columns\n",
"\n",
"# pyomo model\n",
"m = ConcreteModel()\n",
"m.w = Var(STOCKS,domain=Reals)\n",
"\n",
"# expression for objective function\n",
"portfolio_var = sum(m.w[i]*sigma.loc[i,j]*m.w[j] for i in STOCKS for j in STOCKS)\n",
"portfolio_ret = sum(m.w[i]*rlin[i] for i in STOCKS)\n",
"m.OBJ = Objective(expr=portfolio_var, sense=minimize)\n",
"\n",
"# constraints\n",
"m.cons = ConstraintList()\n",
"m.cons.add(sum(m.w[i] for i in STOCKS) == 1)\n",
"\n",
"# solve\n",
"SolverFactory('gurobi').solve(m)\n",
"\n",
"# display solutions\n",
"w = pd.Series([m.w[i]() for i in STOCKS], STOCKS)\n",
"w.plot(kind='bar')\n",
"plt.xlabel('Symbol')\n",
"plt.title('Weights for a minimum variance portfolio')\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {
"nbpages": {
"level": 3,
"link": "[7.5.3.1 Pyomo Model and Solution](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.3.1-Pyomo-Model-and-Solution)",
"section": "7.5.3.1 Pyomo Model and Solution"
},
"pycharm": {}
},
"outputs": [
{
"data": {
"image/png": 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dTannDy3FwFoDBw4ssofHq6++yj//+c//AKjqp3hUHqhqFjCiqBBUdZK34RaX\nSJx2tY9AVbNFZL+Pk4hgYDbQHzgIpIrIKlXd6bHbD8B44PoiTnO1qh7xVUzGGGNMmRXWWyQ5ufTn\nmTABVq3K30YiTyAG1iql4h5ttBGRL1yvbR7L20TEF3NtdAX2qup+1zgVy4B8A5yr6v9UNRX4xQfX\nM8YYYyq/ihxYC1DVuqXZv7gaCX/P/doMOOCxfBDoVorjFfhARM4Ac1V1ni+DM8YYYypMEY9KKmN3\n3JIm7arMeqrqtyJyMfC+iOxS1fUFdxKR0cBogMaNG5Nclmomc47MzEwrSx+wcvQdK0vfsbL0nXKX\npWevjuzssj0q8bOKHMz7W+A3HsuXutZ5RVW/db3/zzW8Z1fOdmvx3G8eMA+gdevWGhsbW46QTZ7k\n5GSsLMvPytF3rCx9x8rSd6pDWXozsqW/pAItRSRMRGritB5d5c2BIlJHROrlfQauBbb7LVJjjDHG\nFKrYGglXz4pFqnqbry+sqjkiMg54D6f758uqukNExri2zxGRXwNpwIVArojcD7QDGgFvijOxTA1g\niaq+6+sYjTHGGFO8YhMJVT0jIpeLSE3PGUB9RVVX48zd4blujsfn/+I88ijoZyDC1/EYY4wxpnS8\naSOxH/hERFbhjHYFgKo+67eojDHGGFMleJNI7HO9gnBmETPGGGOMAbyb/TMhEIEYY4wxpuopsdeG\niDQWkb+JyGoRWZv3CkRwxhhjjKd3332XW265xb2cnJzMddddV4ERGW+6fy4GdgFhQAKQgdN10xhj\njAmofv368dlnn3HihNNkLykpiREjipx7ygSAN4nERar6EvCLqn6kqnfhTCtqjDHG+FZKCsTFQVSU\n856Skm9zjRo1GDhwIG+//TY5OTn861//YujQoUWc7PyXmppK9+7diYiIoGvXrhw/fpyYmBh27Njh\n3kdEkkUkWkRmiMhjrnUDRGS9iJR7PClvGlvmTZh1SEQGA98BDct7YWOMMSaf+HhITISsLFB1ptJe\ntcqZqCrhbHO9ESNGMGvWLBo2bEh0dDT16lXPfgCnT59m+PDhJCUl0aVLF37++WdCQ0MZPnw4y5cv\nJ8EpswuApqqaJiI7cWba3gC8APw2b5bv8vAmE3lCROoDfwImAy8CE8t7YWOMMcYtJcVJIk6edJII\ngNxcZzkxMV/NRJ8+fdi8eTPz588/vx9rlFA789VXX9G0aVO6dOkCwIUXXkiNGjUYNmwYK1asyNvt\nV8AKAFXmSkjvAAAgAElEQVQ9CYwC3gdmqeo+X4RZYiKhqu+o6k+qul1Vr1bVKFX1aihrY4wxxisz\nZjg1EYXJzna2uwQHB3PdddexZs2a87ehZXw89O0LSUmweTMsX+4sx8eXeGizZs246KKL+OKLL8B5\ngpDksTkcOApc4qtQvem10UpEPhSR7a7ljiLyiK8CMMYYY9i9+2xNREG5uc5U2h5mzZpFZmYmtWvX\nDkBwAeZl7Uzr1q05dOgQqalO/4fjx4+Tk5MDwPDhw3n66acBglX1CwARuRzn6UInYJCIdPNFuN48\n2pgPPISrrYQroPO4LskYY0zAtWoFQUXckoKCnO3VhZe1MzVr1iQpKYn77ruPiIgI+vfvT3Z2NgA3\n33wzy5YtA/gBQJzJqV4CJqvqd8D/AS+KSEh5w/WmsWVtVf3cNUFWnpzyXtgYY4xxmzDBaVh58uS5\n20JCYPz4wMdUUUpRO9OlSxdSCrSdAGjSpAk5OTmIyCEAVVWgX952Vd2E85ij3LypkTgiIlcACiAi\nNwOHfHFxY4wxBoCYGKd3Ru3aZ2smgoKc5cmTne3VRRWrnfGmRmIsMA9oIyLfAv8BbvdrVMYYY6qf\nhAQYNMiput+zB1q2dGoqqlMSAVWudsabuTb2A/1EpA4QpKrH/R+WMcaYaikmpvolDgXl1c4kJjpt\nInJznZqIkJBKWTvjTa+NWiJyKzABmCgij+WNjGWMMeezouZ1WLVqFZGRkURGRtK6dWvCwsIqMEpT\nmMJGfNyxYwddu3YlMjKSjh07ssfV1mDRokV07NiRiIgI7rjjDgAyMjK45ppr6NixI3379uWbb74J\n7BdISIAPP4Rhw5xxJIYNc5YTKt88mt482ngL+AnYBJzybzjGGFN59OvXj9GjR3PixAnq1Knjntdh\nyJAhDBkyBIBhw4bRp0+fCo7UeCpqxMc5c+YwYcIEbrvtNk6fPs2ZM2fYsWMHTzzxBJ9++imNGjXi\nhx9+AOC+++7jD3/4A3/4wx94+eWXGT9+PCtXrgzsF6kitTPeNLa8VFWHq+rTqvpM3svvkRljjL+V\nc16Hp59+mtDQUMaOHRvoyCsVzxk4V61axVNPPeXfC5ZxxMerrrqKv/71r0yfPp2vv/6a0NBQ1q5d\nyy233EKjRo0AaNjQmQFi48aN3HrrrQDccccdfPzxx/79TlWYN4nEpyLiky4ixhhTaXg5cuCIESNY\nvnw5a9euzTevwwcffMBrr73GnDlzKiL6SmvIkCE8+OCD/rtAOUZ8vPXWW1m1ahWhoaH89re/Ze3a\ntf6LsxrxJpHoCWwSka9E5AsR2SYiX/g7MGOM8Ztyzuvw9ddfM3bsWF577TVCQ0PLHc7zzz/PycJa\n6Fdi7777Lm3atKFz58688cYb7vULFy5k3LhxALz22mt06NCBiIgIevfuXf6LlnPEx/3799OiRQvG\njx/P0KFD+eKLL7jmmmt47bXXOHr0KID70Ub37t3zBnRi8eLF9OrVq/zxn6e8aSMxyO9RGGNMIHkz\ncqDr2XTevA4LFy7klVdeAZyb5dGjR7n++usBuOSSS1i9enWZw3n++ee5/fbbCx3u+cyZMwQHB5f5\n3P6QnZ3NqFGjWLt2LVdeeSXDhw8vdL9p06bx3nvv0axZM44dO1b+C3v5d/Mc8TErK4vQ0FA++OAD\nli9fzquvvsoFF1zAr3/9a/7yl7/QsGFDHn74Yfr06UNwcDCdOnVi4cKFzJw5kzvvvJO//e1vNG7c\nmAULFpQ//vOVqhb6Ai50vTcs7FXUcZX51apVKzW+sW7duooO4bxg5eg7pSrLzp1Vnd+0hb+iovwW\nZ0EzZszQCy64QDt06KCxsbGqqlqnTh2dNGmSduzYUR9//HG9+eab3fuvW7dOBw8e7NeYNs2erTpi\nhFNOI0aobtyYb/uWLVu0V69e7uW33nrLHdOCBQt07Nixqqp6zz33aL9+/XTevHl65MiR8gdWif5u\n3qro/8aBNPXzvbW4RxtLXO+bgDTX+yaPZWOMqZoq0ciB48eP55JLLmHdunWsW7cOgBMnTtCtWze2\nbt3Kgw8+yGeffcaJEycA3D1H/CY+nohJk8rUBqGgOXPm8MQTT3DgwAGioqLcjw/KrBL93cxZRSYS\nqnqd6z1MVVu43sNUNQywh0XGmKprwgRncJ/C+HrkwBJ6GBQmODiYm266CSi554hPudogBJ86VWwb\nhDZt2pCRkcG+ffsAWLp0aaGn27dvH926dWPatGk0btyYAwcOlC++QP7djNe8aWxZmI0+jcIYYwIp\nUPM6uHoYNF+2jIc2byZy2TKie/Rg8+jRDBgwgCuuuMLd6+OTTz6hT58+DB06lNzcXB5++GEWL15M\n165def/991mwYAFr165FRJgyZQoxMTG0aNGC5ORk7rrrLtq2bcvIkSPLF6+Xs06GhIQwb948Bg8e\nTOfOnbn44osLPeSBBx4gPDycDh06uAeHKhebj6NyKsvzEOCAv5+5+ONlbSR8p6Kf+50vrBx9p0xl\nuXGj0wYgKqrQtgDlsnGjau3aqqCXg/7d9Rz/ftBwEf35gw/0f//7n1588cXaoUMHXbJkidavX1+/\n++47rVOnjl5yySX62GOPqarqs88+q/Xq1dObb75Z+/Tpo8OHD9fc3FxduXKl1qtXT7/44gs9c+aM\ndu7cWbds2VL2mKtKGwR//t18rKL/GycAbSS86bVRaP7hu1TGGGMqiC9GDkxJcX6p797tPKPPm2Sq\nwK/7Ia73cCBTlXovvki9pUupVasWd9xxB3/+858JCgqiadOmAFxxxRVce+21AERERNCoUSPWrFnD\n9ddfz6BBgxARwsPDadKkCeHhzlA/7du3JyMjg8jIyLJ9l1atID3deZxRUGVqg1BFRnysLop8tCEi\nM0XkhUJeM4EGvri4iAx0jU+xV0TOGcFERNqIyEYROSUik0tzrDHG+F1xgyPt3n22nQFQy/UelPfZ\nNc9DUFAQd911F4sWLaJ79+4AZGZmEhQURK1atdz7tGvXjszMTGrUqJFvfd7nvOWcnJyyfx9rg2DK\noLgaieJ6ZpS714aIBAOzgf7AQSBVRFap6k6P3X4AxgPXl+FYY4zxH8/BkfJ4Nkzs0cP5FV/Yr3uo\nPL/uPbnaIJyZPp3gX36p9LNOmsqhyERCVV/x87W7AnvVmaYcEVkGDAXcyYCq/g/4n4gMLu2xxhjj\nVyU1TFR1bsCFjVhZo0bl/XWfkMDWJk3ovGGDU2vSsuXZxzXGFKKsbSR8oRng2RfoINAtAMcaY0z5\nFXh0kU9uLvz4o/MrPjGRjOxs96/7kSEhjPT4dZ+RkQFAbGwssbGx7lMkJye7P3tuW7hwoXt98+bN\n2b59u3vZc1t5/NyuHfzxjz45lzn/VWQiERAiMhoYDdC4ceN8/3GassvMzLSy9AErR98JdFm2bdCA\nxiIEFZJM5IpwuH59vrz6ai5s0oRmr79O6MGDZF16Kd/edJNzo67Ef3f7d+k71aEsKzKR+Bb4jcfy\npa51Pj1WVecB8wBat26tnhm/Kbvk5GSsLMvPytF3Al6WISFOw8pCHl0EhYbS5MknaRITA7Gx7l/3\nFwJNAhdhmdm/S9+pDmVZZCLh6p1RZDdPVS3vA75UoKWIhOEkASOAWwNwrDHGlF/e4EiJiU6bCGuY\naKoQEWkOdFfVJSXsWiJvem30ANoBSa7lW/BBo0ZVzRGRccB7QDDwsqruEJExru1zROTXrjguBHJF\n5H6gnar+XNix5Y3JGGNKJSEBBg1yGl5aw0RTtTTH+QHuv0Qir9eGiNwL9FTVHNfyHGBDeS/susZq\nYHWBdXM8Pv8X57GFV8caY0zA2eBIppJITU1lwoQJnDhxglq1avHhhx8C1BSRDUAd127jVPVT4Cmg\nrYikA6+o6nNlva43bSR+hVMj8INrua5rnTHGGGMCoagRVF1Onz7N8OHDSUpKokuXLvz888+EhoYC\n5AD9VTVbRFoCS4Fo4EFgsrom6CwPbxKJp4AtIrIOEKA3MLW8FzbGGGOMF+LjnbY4WVlOl+P0dFi1\nymmLk5AAwFdffUXTpk3p0qULABdeeGHe0QLMF5FI4Azg85HQSpz9U1UX4IzR8CbwBnBVAAarMsYY\nY4znCKrFTO1ejCbA90AETk1ETV+HWGIiISIC9AMiVPUtnOctXX0diDHGGGMK8HJq99atW3Po0CFS\nU1MBOH78eN68K8HAIVXNBe5wLQMcB+r5IsQSEwng78BVQJzHxWf74uLGGGOMKUZJI6i6Jn+rWbMm\nSUlJ3HfffURERNC/f3+ys7MB/gf8QUS2Am2AE66jvwDOiMhWEZlYnhC9aSPRTVU7i8gWAFX9UUR8\nXjVijDHm/HX33XczadIk2rVrR926dcnMzKzokKqGUkzt3qVLF1LOfdRxSlWjPZb/DKCqvwDX+CJE\nb2okfnHNtqkAItIYKGI6O2OMMeZcL774Iu3atavoMKqeKjC1uzeJxAs4DS0vFpEngY+Bv/o1KmOM\nMeeV2NhY0tLS3MsTJ06kffv29O3bl8OHD7v3mThxItHR0bRt25bU1FRuvPFGWrZsySOPPFJRoVes\nvBFUa9d2aiDAea9du9KMoOpNr43FwBTg/wGHgOtV9TV/B2aMMaaKSEmBuDiIinLeS+hJcOLECaKj\no9mxYwd9+vQhwdWFEZxn/WlpaYwZM4ahQ4cye/Zstm/fzsKFCzl69KhPw546dSqJiYk+PadfJCTA\nhx/CsGFOGQ8b5ix7lFtFKrGNhIi8BMxU1dke66aq6lR/BmaMMaYK8GKMg4KCgoIYPnw4ALfffjs3\n3nije9uQIUMACA8Pp3379jRt2hSAFi1acODAAS666CI/f6FKqhKPoOrNo40BwCsi8nuPdUP8FI8x\nxvjd3Xffzc6dxU8ZNGfOHBYtWhSgiKqo8o9xAIAzyoCjVq1agJNs5H3OW3Z1Zyy15s2bEx8fT+fO\nnQkPD2fXrl3n7DN//nwGDRpEVlYW+/btY+DAgURFRdGrV69C9zdneZNI/A9nNMtbRGS2iNTAGSnL\nGGOqJG8a/o0ZM4bf//73xe5T7Xk5xkFBubm5rFixAoAlS5bQs2dPn4WUkZFBhw4dzlnfqFEjNm/e\nzL333nvO44xZs2bxzjvvsHLlSkJDQxk9ejQzZ85k06ZNJCYm8kfXNPCmcN4kEqKqP6nq74DDQDJQ\n369RGWOMH3k2/Ktbty4PP/wwERERxMTE8P333wNV6Pl5RfJyjIOC6tSpw+eff06HDh1Yu3Ytjz32\nWNlj8GifkTN8OGzZUuhueY9PoqKiyMjIcK9ftGgRa9asYcWKFdSqVYvMzEw+/fRTbrnlFiIjI7nn\nnns4dOhQ2eOrBrwZR2JV3gdVnSoim4ByDV5hjDGVxYkTJ4iJieHJJ59kypQpzJ8/v/r2ECitUoxx\nkJyc7P5c1BgSnvvExsYycuRIHnroIdasWUONGjUICgpiwIAB7N27lwceeIAxhw6RPH06j546xa+A\nXZs38+9Vq6CeM2Dj/v37uemmmzh9+rT7MUlwcHC+RyTh4eGkp6dz8OBBwsLCyM3NpUGDBqSnp5e9\nXKoZb3ptxBdYfltVfTKIhTHG+FwpexDUrFmT665zJkAs+GvVlCAAYxxcdtllpKen06tXL0aOHMmK\nFStISUkh/i9/cdphnDrFZmAGsBucRypHjvBVUhI33XQTCxcupGbNosdQ7NSpE3PnzmXIkCF89913\nXHjhhYSFhfHaa07nRFVl69at5f4e57MiEwkR+dj1flxEfvZ4HReRnwMXojHGeCk+Hvr2haQk2LwZ\nli93luPjizzkggsucDf2K/hr1ZSgPGMceJnwefbi6NatG/Xq1aNx48bUOnWKYydPAtAVCPM45rAq\nQ0eNYvHixURERJT4NXr27EliYiKDBw/myJEjLF68mJdeeomIiAjat2/PW2+95U1pVCrJycnuBNnf\niny0oao9Xe8+mdTDGGP86cKdO8/2IMjj2YNg0KBK232uSktIcMp2xgynTUTLlk5NRXFlXYouo0X2\n4sjJIS/lq1Pg9PWBy4CPP/6Ydu3a5atlio6Odj9CmTp1qnv9gAEDGDBgAOA0zHz33Xe9L4NqrshE\nQkQaFnegqv7g+3CMMaZsmr3+esk9CDxubp5dDovizT6G0o1x4NllNE9ZEr4aNeCXXwpt7FkTeHPg\nQAYsWkTdunW59dZbvYutEpg2bRpvv/02WVlZdO/enblz5yIizJ8/n3nz5nH69GmuvPJKXn31VWrX\nrs3IkSMJCQkhLS2Nn3/+mWeffTZgNRF5imsjsQlIc70XfKUVc5wxxgRc7YMHve5BcPToURo2dH4r\neTb8u/nmm1m4cOE5+xgfcnUZ/QloDXzlWh0HzM/KghkzWLp0KeHh4Xz33Xf5Rr2cO3cuDzzwAO3b\nt+f7nBw2X3AB9wNr8egVACBCnUmTeOedd3juuedYtSrf1kpt3LhxpKamsn37drKysnjnnXcAp9dJ\namoqW7dupW3btrz00kvuYzIyMvj888/517/+xZgxY/Jm/QyYIhMJVQ1T1Rau94KvFoEM0hhjSnLy\n0kvPPqcvyKMHQf/+/QkPDycsLKzwfYFHH32Uzz77zP183viQq8tofWAWMBJYBvwIjFLlux07+POf\n/8zatWs5efIkO3bsYOXKlYwcOZKcnByuueYaduzYwcDf/pbESy8lNTSUjSI8BhAURPPatdn+6KMQ\nE0ODBg1ITU2tPH9HL9qFrFu3jm7duhEeHs7atWvZsWMHANu3b6dXr16Eh4ezePFi93qAYcOGERQU\nRMuWLWnRokXAB9DyZhwJRORXItJVRHrnvfwdmDHGlMa3N93kVQ+C999/nyVLlhR7rscff5zPP/+8\n+g7H7AtF3TRbtXInfP2BcGAs8CJAUBCpDRoQGxtL48aNqVGjBrfddhvr168HnB42AwcOBJzGl33u\nuosL1q4lfNgwMoKDK90cFPl40RA4OzubP/7xj6xYsYJt27YxatQod+3CyJEjmTVrFtu2bSM+Pj5f\nrUPBR3CBfiRXYiIhIncD64H3gATX+1T/hmWMMaXzc7t2lX6WxKrs8OHDdOvWjU6dOrFhw4bidy7u\npunRZTQX+BKojVMjQUgIFPN837OHjbvxZUwMQcuWkRMSAkuXVs6/s5dDieclB40aNSIzM9M9+ifA\n8ePHadq0Kb/88guLFy/Od/rXXnuN3Nxc9u3bx/79+2ndunVgvpeLNzUSE4AuwNeqejXQCTjm16iM\nMaYsKvksiVXZhx9+SHh4OFu2bKFXr15F71jSTRPcCd9zIrQFlohwZ1AQv0ycSNc77uCjjz7iyJEj\nnDlzhqVLl9KnTx+/fz+/8nIo8QYNGjBq1Cg6dOjAgAED6NKli3u3xx9/nG7dutGjRw/atGmT7xSX\nXXYZXbt2ZdCgQcyZM4eQomrm/MSbkS2zVTVbRBCRWqq6S0QCm+4YY4y3KvEsiVVB8+bNiYmJ4b77\n7iM0NJQlS5aQmZnJlClTyMrKIi0tjY0bN7Jhwwbi4+M5deoUV1xxBQsWLKBu3bre3TSXLuWrdu14\ncfRoPm/Rgnpt2tAbeCI4mISmTXnqqae4+uqrUVUGDx7M0KFDA1oGee6++24mTZpU7LwsK1eupFWr\nVsXP3VKKocSfeOIJnnjiiXN2u/fee7n33nsLPUW/fv2YM2dOvnWxsbHExsYG5DGHN4nEQRFpAKwE\n3heRH4Gv/RuWMcaUzogRI9i+fTuNGjWq6FCqvLp167Jt2zYWLVrE/fffzzvvvMO0adNIS0tj1qxZ\nHDlyhCeeeIIPPviAOnXqMH36dJ599llnzgwvb5qthw/nS9dU4gDPeuwWFxdHXFzcOYd79rDxHAOi\n4DZfefHFF0vcZ+XKlVx33XXFJxKlGEq8KvJmiOwbVPWYqk4FHgVeAq73d2DGGGN8zMvRJK+5xpkF\nIS4ujo0bNxZymhR27txJjx49iIyM5JVXXuHrr12/Lz0aU56jit00S5rc7dNPP2XVqlU88MADREZG\nsm/fPvbu3Uu/fv2IiIigc+fOfPvtt34dSnzhwoXcfPPNZT7eF7xpbHlZ3gv4D5AO/NoXFxeRgSLy\nlYjsFZEHC9kuIvKCa/sXItLZY1uGiGwTkXQRsXEtjDEAZGVlMWjQIObPnw/As88+S4cOHejQoQPP\nP/98BUdXgUoxfLhndXhhVeOqSv/+/UlPTyc9PZ2dO3eeHdcgAPNv+EQp52TJm9xt69at9O7dm/nz\n59O9e3eGDBnC3/72N9LT07niiiu47bbbGDt2LFu3buXTTz91ev6UZyjxKsCbxpb/At5xvX8I7AfW\nlPfCIhIMzAYGAe2AOBEpWDc0CGjpeo0G/lFg+9WqGqmq0eWNxxhT9WVmZvK73/2OuLg4Ro0axaZN\nm1iwYAGfffYZKSkpzJ8/ny1FTDN9XvOy10CedevWAZCUlMRVV111zuliYmL45JNP2Lt3L+DcZHfv\n3p23sfLfNMswJ4s3k7sdP36cb7/9lhtuuAGAkJCQsw0fz+OGwCW2kVDVcM9lV63AH31w7a7AXlXd\n7zrvMmAosNNjn6HAIlVVIEVEGohIU1W1yeGNqU5SUpxGert3O1XjRczlMHToUKZMmcJtt90GOHMt\n3HDDDdSp48zGcOONN7JhwwY6deoU0PArnDcNID3K8/jx43Ts2JFatWqxdOnScw5p3LgxCxcuJC4u\njlOnTgFOI8FWeY8tyjL/RqCUcYhun0zudp42BPamsWU+qrpZRLr54NrNgAMeyweBguctbJ9mwCFA\ngQ9E5AwwV1Xn+SAmY0xlU4oJnnr06MG7777LrbfeavNkeCpFrwFwGq4W7CkxcuRIRo4c6V6+5ppr\nSE1NLfqalfWmWcqkqiT16tXj+PHj7s+XXnopK1eu5Prrr+fUqVMBH666IpSYSIjIJI/FIKAz8J3f\nIvJeT1X9VkQuxulNsktV1xfcSURG4zwWoXHjxu5Z30z5ZGZmWln6gJVj8S7cuZOI6dMJdv3qBdy/\nHs9Mn87WJk2cgahwntsPGDCAV155heuvv56JEycSGhrK4sWL6d69O6rKP//5T/7yl79UuzJv26AB\njUUIKiSZyBXhcP36fOkqk+zs7PP632XU5s3UKyap+nnzZja7vvuxY8fYtGkTmZmZnDlzxl0mO3bs\n4L///S/Jycm0atWKhIQE/vrXvzJ16lTGjRvHtGnT+NOf/kRwcDBTpkw5b8vSTVWLfQHxHq+HgduA\nkJKO8+K8VwHveSw/BDxUYJ+5QJzH8ldA00LONRWYXNI1W7VqpcY31q1bV9EhnBesHEswYoSqiKrz\nezr/KyjI2e7SpEkTPXz4sObm5urIkSP1gQceUFXVZ555Rtu3b6/t27fX5557rqK+ScXauFG1du3C\ny7F2bWe7h/P63+WIEc6/naL+TcXF+fRyFV2WQJqW835d0subNhL+agmSCrQUkTDgW2AEUHCu11XA\nOFf7iW7AT6p6SETqAEGqetz1+Vpgmp/iNMZUlFJUyS9btsw9hsSCBQvc6ydNmsSkSZPOObxayWsA\nmZjoVN/n5joNIENCKk8DyECZMMF5NObZRiJPZepVUoV482ijFTAZaO65v6peU54Lq2qOiIzDmbsj\nGHhZVXeIyBjX9jnAauC3wF7gJHCn6/AmwJuuZ6A1gCWq+m554jHGVELn+UA+AVWZG0AGkiVVPudN\nY8vXgDk4k7Od8eXFVXU1TrLguW6Ox2fFmRiu4HH7gQhfxmKMqYTs16NvVdYGkIFmSZVPeZNI5Khq\nwfEbjDHG/+zXo/EXS6p8xptE4m0R+SPwJuBuOq2qP/gtKmOMyWO/Ho2p1LxJJP7gen/AY50CLXwf\njjHGFMJ+PRpTaXnTayMsEIEYY4wxpurxamRLEenOub02FvkpJmOMMcZUEd50/3wVuAJn1s+8XhsK\nWCJhjDFVSHJyMjVr1qR79+4VHYo5j3hTIxENtHN1xTTGGFNFJScnU7duXUskjE95M434duDX/g7E\nGGOMbzRv3pwjR44AkJaWRmxsLBkZGcyZM4fnnnuOyMhINmzYwNChQ1m0yKlcnjt3rnvWVGNKw5sa\niUbAThH5nPzdP4f4LSpjjDE+1bx5c8aMGUPdunWZPHkyAK1ataJHjx6EhYXxzDPPkJKSUsFRmqrI\nm0Riqr+DMMYY46WUFGdMjd27nSHCyzGmRpMmTZg2bRpXX301b775Jg0bNvRxsKY68Kb750eeyyLS\nE4gDPir8CGOMMX4RH++M8pmV5Uxmlp7uDCE+ebIzcJdLjRo1yHXNT5KdnV3sKbdt28ZFF13Ed999\n59fQzfnLmzYSiEgnEfmbiGQAjwNf+jUqY4wx+aWkOEnEyZNnZ0TNzXWWExOd7S7Nmzdn06ZNALz+\n+uvu9fXq1eP48ePu5c8//5w1a9awZcsWEhMT+c9//hOY72LOK0UmEiLSSkTiRWQXMBP4BhBVvVpV\nZwUsQmOMMc7jjKyswrdlZzvbXeLj45kwYQLR0dEEBwe71//ud7/jzTffJDIyko8++ohRo0bx8ssv\nc8kll/DMM89w1113YR30TGkV92hjF7ABuE5V9wKIyMSARGWMMSa/3bvP1kQUlJvrzEPi0qtXL3bv\n3n3Obq1ateKLL75wL2/dutX9eciQIQwZYm3oTekV92jjRuAQsE5E5otIX0ACE5Yxxph8WrVyZj4t\nTFCQs92YClBkIqGqK1V1BNAGWAfcD1wsIv8QkWsDFaAxxhic3hkhIYVvCwmB8eMDG48xLiU2tlTV\nE6q6RFV/B1wKbAH+7PfIjDHGnBUT4/TOqF37bM1EUJCzPHmyzY5qKoxXvTbyqOqPqjpPVfv6KyBj\njAmE5s2bM2XKFMLDw+natSt79+4FYN++fcTExBAeHs4jjzxC3bp1KzhSDwkJ8OGHMGwYREU57x9+\nmK/rpzGBVqpEwhhTOaWkQFycc2+Ji8vXE9AUo379+mzbto1x48Zx//33AzBhwgQmTJjAtm3buPTS\nSwANDOAAABMTSURBVCs4wkLExMDSpZCW5rxbTYSpYJZIGFPFxcdD376QlASbN8Py5c5yfHxFR1aB\nvMys4uLi3O8bN24EYOPGjdxyyy0A3HrrrYGJ15gqzBIJY6qwUoxRVH2UIrMSkUI/G2O8Z4mEMVVY\nKcYoqh5KmVklJSW536+66ioAYmJi3KNBLlu2LHCxG1NFWSJhTBVWijGKqodSZlY//vgjHTt2ZMaM\nGTz33HMA/7+9+4+SqrzvOP7+ICJgDBuEKFErQhdUFvyJrDHQTbSp2EQSa5vQxGiaI03sCuIBg9VT\n1JhTTKiRnsSkxBK1jYISrZQiVtENGtm4gOiChh8mtGqMxh8kUlzJyrd/3LvL7Lq7zM7O7uzOfF7n\nzJl7n+e5d577nbs733nunXu55ZZbuPnmm5kwYQI7duxgyJAh3d1rsz4tm7t/mlkvNWZMct+m9P5M\nLZTkNYo6mVnNnTuXm266qUXZUUcdRW1tLZJYunQpW7du7a7emhUFJxJmfdisWcnNH/fseX9dSV6j\nKA+Z1YYNG6iuriYiKCsrY8mSJd3QUbPi4UTCrA9rukbRwoXJyP2+fcnn5cCBJXqNok5kVjt37mxz\nFZMnT25xDwoz65jPkTDr43yNogy++qNZjyvoiISkc4FFwEHAbRGxoFW90vrzgD3AJRGxMZtlzUpJ\nZaU/I5tdfz1MnZqcWLl9O5SXJyMVDpBZtyhYIiHpIOB7wJ8CLwF1klZExHMZzaYC5eljEvB9YFKW\ny5pZqXJmZdZjCnlo4wxgR0T8MiL2AkuBaa3aTAPujEQtUCZpRJbLmpmZWTcrZCJxFPBixvxLaVk2\nbbJZ1szMzLpZ0f9qQ9IMYAbA8OHDqampKWyHisTu3bsdyzxwHPPHscwfxzJ/SiGWhUwkXgaOyZg/\nOi3Lps3BWSwLQEQsBhYDjB07NqqqqrrUaUvU1NTgWHad45g/jmX+OJb5UwqxLOShjTqgXNJxkgYA\nnwdWtGqzAviSEpXA7yLilSyXNTMzs25WsBGJiGiUVA08RPITziURsUXSV9P6HwCrSH76uYPk559f\n7mjZAmyGmZlZSSvoORIRsYokWcgs+0HGdAB/l+2yZmZm1rN8ZUszMzPLmRMJMzMzy5kTCTMzM8uZ\nEwkzMzPLmRMJMzMzy5kTCTMzM8uZEwkzMzPLmRMJMzMzy5kTCTMzM8uZEwkzMzPLmRMJMzMzy5kT\nCTMzM8uZEwkzMzPLmRMJMzPrUbt27eLWW28tdDcsT5xImJlZj3IiUVycSJiZWVbq6uq44IILAHjg\ngQcYNGgQe/fupaGhgVGjRgFQVVXF7NmzOf300znhhBOalykvL+faa68FYN68ebzwwgucfPLJzJ07\nt2DbY/nRv9AdMDOzvuGUU05h06ZNADz++ONUVFRQV1dHY2MjkyZNam43YMAA1q9fz6JFi5g2bRob\nNmxg6NChjB49mtmzZ7NgwQI2b97cvC7r25xImJlZorYWFi3itI0b4dRTYdYsqKxsru7fvz+jR4/m\n+eef56mnnuLKK69k7dq1vPfee0yePLm53fnnnw/A+PHjGTduHCNGjABg1KhRvPjii5SVlfXsdlm3\n8qENMzOD+fPh7LNh2TIO27YN7rknmZ8/v0WzKVOm8OCDD3LwwQdzzjnn8MQTT/DEE0+0SCQOOeQQ\nAPr169c83TTf2NjYM9tjPcaJhJlZqauthYULYc8eiEjK9u1L5hcuTOpTkydP5pZbbuHMM89k+PDh\nvPHGG2zdupWKioqsX+6www7j7bffzvdWWIE4kTAzK3WLFsE777Rd19CQ1KcmTZrEq6++ypQpUwCY\nMGEC48ePR1LWL3f44Ydz1llnUVFR4ZMti4DPkTAzK3Xbtu0fiWht3z7Yvr15dtCgQbz77rvN84sX\nL27RvKampnm6qqqKqqqqNuvuuuuuLnXZeg+PSJiZlboxY6BfOx8H/fol9WbtcCJhZlbqZs2CgQPb\nrhs4EGbO7Nn+WJ/iRMLMrNRVVsKcOTB48P6RiX79kvk5c1r8BNSsNZ8jYWZmcP31MHUqLFrE7zdu\n5INtXEfCrC1OJMzMLFFZCZWVbKypaXGSpFlHCnJoQ9JQSQ9L2p4+f6iddudK2ipph6R5GeXXSXpZ\n0qb0cV7P9d7MzMyaFOociXnAmogoB9ak8y1IOgj4HjAVOBGYLunEjCbfiYiT08eqnui0mZmZtVSo\nRGIacEc6fQfwmTbanAHsiIhfRsReYGm6nJmZmfUShUokjoiIV9Lp3wBHtNHmKODFjPmX0rIml0t6\nVtKS9g6NmJmZWffqtpMtJT0CHNlG1TWZMxERktq5pFq7vg98A4j0+Z+Av2mnHzOAGQDDhw9vcWU1\ny93u3bsdyzxwHPPHscwfxzJ/SiGW3ZZIRMQ57dVJelXSiIh4RdII4LU2mr0MHJMxf3RaRkS8mrGu\nHwIrO+jHYmAxwNixY8NnIudHjc/qzgvHMX8cy/xxLPOnFGJZqEMbK4CL0+mLgQfaaFMHlEs6TtIA\n4PPpcqTJR5PPApu7sa9mZmbWjkJdR2IBcI+krwD/A/wVgKSPALdFxHkR0SipGngIOAhYEhFb0uW/\nJelkkkMbO4G/7ekNMDMzswKNSETEGxFxdkSUR8Q5EfFmWv7riDgvo92qiBgTEaMj4psZ5RdFxPiI\nmBAR52ecuGlmZpaTG264gYkTJ1JRUcGMGTOICBobG5k4cWLzeQ5XX30111yTnOo3cuRIrrrqKsaP\nH88ZZ5zBjh07Ctj7wvG9NszMrPjV1sL06XDaaclzbe37mlRXV1NXV8fmzZt55513WLlyJf379+f2\n22/na1/7Go888girV69m/vz5zcsMGTKE+vp6qqurueKKK3pyi3oNJxJmZlbc5s+Hs8+GZctg40a4\n555kPiMhAHjssceYNGkS48eP59FHH2XLluRo+rhx47jooov41Kc+xZIlSxgwYEDzMtOnT29+Xrdu\nXc9tUy/iRMLMzIpXbS0sXAh79kCkVxrYty+ZX7iweWSioaGByy67jOXLl1NfX8+ll15KQ0ND82rq\n6+spKyvjtdda/shQUpvTpcSJhJmZFa9Fi+Cdd9qua2hI6qE5aRg2bBi7d+9m+fLlzc3uu+8+3nzz\nTdauXcvll1/Orl27muuWLVvW/HzmmWd200b0br77p5mZFa9t2/aPRLS2bx9s3w5AWVkZl156KRUV\nFRx55JFMnDgRgNdff5158+axZs0ajjnmGKqrq5k1axZ33JHc5eGtt95iwoQJHHLIIdx99909skm9\njRMJMzMrXmPGwKZNSdLQWr9+SX3qxhtv5MYbb3xfs23btjVPz5w5s0Xd3Llzuemmm/LX3z7IhzbM\nzKx4zZoFAwe2XTdwILRKDKzznEiYmVnxqqyEOXNg8OBkBAKS58GDk/LKypxXvXPnToYNG5anjvZd\nPrRhZmbF7frrYerU5MTK7duhvDwZqehCEmH7OZEwM7PiV1npxKGb+NCGmZmZ5cyJhJmZmeXMiYSZ\nmZnlzImEmZmZ5cyJhJmZmeXMiYSZmZnlzImEmZmZ5UzR3s1MipCkt4Gthe5HkRgGvF7oThQBxzF/\nHMv8cSzzp9CxPDYihnfnC5TaBam2RsTphe5EMZC03rHsOscxfxzL/HEs86cUYulDG2ZmZpYzJxJm\nZmaWs1JLJBYXugNFxLHMD8cxfxzL/HEs86foY1lSJ1uamZlZfpXaiISZmZnlUVEkEpLOlbRV0g5J\n89qol6R/TuuflXRqtsuWmi7GcqekekmbJK3v2Z73PlnE8nhJ6yS9K2lOZ5YtNV2MpffLVBZx/EL6\nd10v6UlJJ2W7bKnpYiyLa5+MiD79AA4CXgBGAQOAZ4ATW7U5D3gQEFAJ/DzbZUvp0ZVYpnU7gWGF\n3o7e8Mgylh8GJgLfBOZ0ZtlSenQllmmd98vs4/hR4EPp9FT/r8x/LNP5otoni2FE4gxgR0T8MiL2\nAkuBaa3aTAPujEQtUCZpRJbLlpKuxNJaOmAsI+K1iKgD/tDZZUtMV2Jp+2UTxycj4q10thY4Ottl\nS0xXYll0iiGROAp4MWP+pbQsmzbZLFtKuhJLgAAekbRB0oxu62Xf0JV9y/tlS12Nh/fLRGfj+BWS\n0cdcli12XYklFNk+WWpXtrTu9bGIeFnSh4GHJf0iItYWulNW8rxfdpKkj5N8+H2s0H3p69qJZVHt\nk8UwIvEycEzG/NFpWTZtslm2lHQllkRE0/NrwP0kw3+lqiv7lvfLlroUD++XzbKKo6QJwG3AtIh4\nozPLlpCuxLLo9sliSCTqgHJJx0kaAHweWNGqzQrgS+kvDiqB30XEK1kuW0pyjqWkQyUdBiDpUOCT\nwOae7Hwv05V9y/tlSznHw/tlCweMo6Q/Au4DLoqIbZ1ZtsTkHMti3Cf7/KGNiGiUVA08RHIm7ZKI\n2CLpq2n9D4BVJL822AHsAb7c0bIF2IxeoSuxBI4A7pcEyX51V0Ss7uFN6DWyiaWkI4H1wAeBfZKu\nIDnz+/feL/frSixJ7rzo/ZKs/77/ATgcuDWNWWNEnO7/lS11JZYU4f9KX9nSzMzMclYMhzbMzMys\nQJxImJmZWc6cSJiZmVnOnEiYmZlZzpxImJmZWc6cSJjlSNJnJIWk4wvw2jslDUunn8zD+i6R9N02\nyo+QtFLSM5Kek7QqLR8p6a+7+roZr1MlaWUX13G7pAvbKf9Vug3bJN0pKef7HkhaJansAG3+vtV8\nl98js97KiYRZ7qYDT6TPBRMRH+3G1d8APBwRJ0XEiUDT7ZJHAnlLJDpLUmevgTM3Ik4CxgJPA4+m\nFxLqtIg4LyJ2HaBZi0Sim98js4JyImGWA0kfILl2/ldIrmrXVF4lqUbSckm/kPRjpVeeSUcRrpe0\nUVJ900iGpOskzclYx2ZJI9Pp/1ByY58taufmPpJ2p883SNqUPl6W9KO0/IuSnkrL/0XSQWn5l9Nv\n6E8BZ7WzqSNIbkgEQEQ8m04uACan65ydjlA8nm7bRkkfzSIe56ZlG4ELMrbnDEnrJD0t6UlJY9Py\nSyStkPQosEaJ70raKukRkluJdyi9a+13gN+Q3NoZSZ9MX2+jpHslfSDt272t3teVGe9j02jQ+94f\nSQuAQWlsftzqPZKkb6fvcb2kzx0oTma9XiHvYe6HH331AXwB+Nd0+kngtHS6CvgdybX3+wHrSG7Q\nA7ATuDydvgy4LZ2+DpiTse7NwMh0emj6PCgtPzxjXcPS6d2t+lYG1AOnAScA/wkcnNbdCnyJJEH4\nX2A4MAD4GfDdNrbzz4BdwGPANcBHMrZzZUa7wcDAdLocWN9RPICBJHdPLAcE3NO0PpKrU/ZPp88B\nfpJOX0KS1DTF5ALgYZIrC34k7eeFbWzD7a3LgVuAr5Nc+XItcGha/nWSKxL2T+PTVP594IttxL69\n96f1e7I7ff6LjD4fkb7GiPbiVOj93A8/snl4RMIsN9OBpen0Uloe3ngqIl6KiH3AJpLDAE3uS583\ntCpvz0xJzwC1JDcJKu+ocfot9t+BmyNiA3A2SUJRJ2lTOj8KmATURMRvI2IvsKyt9UXEQ2n7HwLH\nA09LGt5G04OBH0qqB+4luTx1k7bicTzwq4jYHhGR9rnJEOBeSZuB7wDjMuoejog30+kpwN0R8V5E\n/Bp4tKPYtNL0bb8y7evP0vhcDBwbEY3AauDT6WGUPwceaGM9nXp/SJKopj6/CvwUmJjWdbTfmPVa\nff5eG2Y9TdJQ4BPAeElB8u0yJM1Nm7yb0fw9Wv6dvdtGeSMtDzMOTF+niuQb+ZkRsUdSTVNdB64D\nXoqIHzV1F7gjIq5utQ2fOcB6mqUf3HcBd6XD+1OAN1o1mw28CpyUbktDRl1H8WjLN4DHIuKz6SGe\nmoy6/8u23wdwCrCGJD4PR0Rb57ksBaqBN0lGWN7OrMzx/elIZ+Nk1it4RMKs8y4E/i0ijo2IkRFx\nDPArYHKO69sJnAog6VTguLR8CPBW+iF1PMm353ZJ+jTJB9vMjOI1wIWSPpy2GSrpWODnwJ9IOlzS\nwcBftrPOT0ganE4fBowmGY5/Gzgso+kQ4JX02/RFJMlVR34BjJQ0Op3P/CAfwv5bMl/SwTrWAp+T\ndJCkEcDHD/CaTecozCQ5nLCaZCThLEl/nNYfKmlM2vynJO/LpewffcrU0fvzhzSurT2e0efhJEnZ\nUwfqt1lv5kTCrPOmA/e3KvsJuf964yfAUElbSL4BN91yeDXQX9LzJCc31h5gPVcCRwFNJ1beEBHP\nAdcC/y3pWZLj8yMi4hWS0Yt1JOdHPN/OOk8D1qfLriM5r6MOeBZ4T8lPKmeTnHtxcTrMfzwHGDmI\niAZgBvBf6cmWr2VUfwv4R0lP0/G38vuB7cBzwJ1p/9rz7bRv20gOJXw8IvZGxG9JkpW7M7bx+LSP\n7wErSU7KbOunqR29P4uBZ5tOtmzV52eBZ0gOxVwVEb/poN9mvZ7v/mlmZmY584iEmZmZ5cyJhJmZ\nmeXMiYSZmZnlzImEmZmZ5cyJhJmZmeXMiYSZmZnlzImEmZmZ5cyJhJmZmeXs/wEnnVZS2bYyywAA\nAABJRU5ErkJggg==\n",
"text/plain": [
" 2442\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mget_loc\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mkey\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2443\u001b[0m \u001b[0;32mexcept\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
"\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc (pandas/_libs/index.c:5280)\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32mpandas/_libs/index.pyx\u001b[0m in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc (pandas/_libs/index.c:5126)\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item (pandas/_libs/hashtable.c:20523)\u001b[0;34m()\u001b[0m\n",
"\u001b[0;32mpandas/_libs/hashtable_class_helper.pxi\u001b[0m in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item (pandas/_libs/hashtable.c:20477)\u001b[0;34m()\u001b[0m\n",
"\u001b[0;31mKeyError\u001b[0m: 'jpm'",
"\nDuring handling of the above exception, another exception occurred:\n",
"\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\u001b[0m in \u001b[0;36m"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot portfolio weights\n",
"w_data = np.array(w_data)\n",
"for i in range(N):\n",
" plt.plot(r_data,w_data.T[i])"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 3,
"link": "[7.5.4.1 Out of Sample Simulation](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.4.1-Out-of-Sample-Simulation)",
"section": "7.5.4.1 Out of Sample Simulation"
},
"pycharm": {}
},
"source": [
"### 7.5.4.1 Out of Sample Simulation"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": true,
"nbpages": {
"level": 3,
"link": "[7.5.4.1 Out of Sample Simulation](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.4.1-Out-of-Sample-Simulation)",
"section": "7.5.4.1 Out of Sample Simulation"
},
"pycharm": {}
},
"outputs": [],
"source": [
"end = datetime.datetime.now()\n",
"start = end - datetime.timedelta(3*365)\n",
"\n",
"PricesSim = pd.DataFrame()\n",
"for s in syms:\n",
" PricesSim[s] = web.DataReader(s,'yahoo',start,end)['Adj Close']"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"nbpages": {
"level": 3,
"link": "[7.5.4.1 Out of Sample Simulation](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.4.1-Out-of-Sample-Simulation)",
"section": "7.5.4.1 Out of Sample Simulation"
},
"pycharm": {}
},
"outputs": [
{
"ename": "TypeError",
"evalue": "'NoneType' object has no attribute '__getitem__'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = len(Prices.columns.values.tolist())\n",
"\n",
"# create price history of the portfolio\n",
"V = pd.Series(0,index=Prices.index,name='Market')\n",
"for s in Prices.columns.values.tolist():\n",
" V += (100.0*float(wval[s])/Prices[s][0])*Prices[s]\n",
" \n",
"V.plot(lw=5,figsize=(10,6),color='red')\n",
"\n",
"# plot components\n",
"plt.hold(True)\n",
"for s in Prices.columns.values.tolist():\n",
" S = pd.Series(100.0*Prices[s]/Prices[s][0])\n",
" S.plot(lw=0.8)\n",
"\n",
"plt.legend(loc='upper right',bbox_to_anchor=(1.2, 1.0))\n",
"plt.title('Portfolio Dynamics w/o Rebalancing')\n",
"plt.ylabel('Normalized Price/Value')\n",
"plt.grid()"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.5 Risk-Free Asset](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.5-Risk-Free-Asset)",
"section": "7.5.5 Risk-Free Asset"
},
"pycharm": {}
},
"outputs": [
{
"data": {
"text/plain": [
"^dji 12.528858\n",
"^gspc 1.934181\n",
"mmm 0.197222\n",
"axp 0.120742\n",
"aapl 0.133096\n",
"ba 0.208771\n",
"cat 0.072742\n",
"cvx 0.051164\n",
"csco 0.016654\n",
"ko 0.016795\n",
"dis 0.136692\n",
"dd 0.086136\n",
"xom 0.053090\n",
"ge 0.020513\n",
"gs 0.154648\n",
"hd 0.086056\n",
"ibm -0.047416\n",
"intc 0.046451\n",
"jnj 0.122271\n",
"jpm 0.054673\n",
"mcd 0.023521\n",
"mrk 0.067638\n",
"msft 0.068685\n",
"nke 0.121157\n",
"pfe 0.016580\n",
"pg 0.048426\n",
"trv 0.075682\n",
"utx 0.104676\n",
"unh 0.123136\n",
"vz 0.022144\n",
"v 0.065840\n",
"wmt 0.029284\n",
"Market 1.000000\n",
"Name: Market, dtype: float64"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P['Market'] = V\n",
"Sigma = P.cov()\n",
"Sigma.ix[:,'Market']/Sigma.ix['Market','Market']"
]
},
{
"cell_type": "markdown",
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.6 Maximum Log Return (to be developed).](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.6-Maximum-Log-Return-(to-be-developed).)",
"section": "7.5.6 Maximum Log Return (to be developed)."
},
"pycharm": {}
},
"source": [
"## 7.5.6 Maximum Log Return (to be developed)."
]
},
{
"cell_type": "code",
"execution_count": 353,
"metadata": {
"nbpages": {
"level": 2,
"link": "[7.5.6 Maximum Log Return (to be developed).](https://jckantor.github.io/CBE40455-2020/07.05-Portfolio-Optimization.html#7.5.6-Maximum-Log-Return-(to-be-developed).)",
"section": "7.5.6 Maximum Log Return (to be developed)."
},
"pycharm": {}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"infeasible\n"
]
},
{
"ename": "IndexError",
"evalue": "too many indices for array",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mIndexError\u001b[0m Traceback (most recent call last)",
"\u001b[0;32m\n",
"< [7.4 Real Options](https://jckantor.github.io/CBE40455-2020/07.04-Real-Options.html) | [Contents](toc.html) | [7.6 Portfolio Optimization using Mean Absolute Deviation](https://jckantor.github.io/CBE40455-2020/07.06-Portfolio-Optimization-using-Mean-Absolute-Deviation.html) >"
]
}
],
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}