{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": false, "toc": true }, "source": [ "

Table of Contents

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" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "# Mean variance frontier with market data\n", "** Camilo A. Garcia Trillos 2020**" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## In this notebook \n", "\n", "We revisit the mean-variance frontier construction, this time using market data. We use a sub-sample of data, belonging to a selection of stocks in the market." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import scipy.stats as stats\n", "from math import ceil" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Data cleaning" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We start by reading in data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "ename": "FileNotFoundError", "evalue": "[Errno 2] No such file or directory: '/home/user/Data/basket_20171201_10y.csv'", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mFileNotFoundError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'~/Data/basket_20171201_10y.csv'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;32m/usr/local/lib/python3.8/dist-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36mread_csv\u001b[0;34m(filepath_or_buffer, sep, delimiter, header, names, index_col, usecols, squeeze, prefix, mangle_dupe_cols, dtype, engine, converters, true_values, false_values, skipinitialspace, skiprows, skipfooter, nrows, na_values, keep_default_na, na_filter, verbose, skip_blank_lines, parse_dates, infer_datetime_format, keep_date_col, date_parser, dayfirst, cache_dates, iterator, chunksize, compression, thousands, decimal, lineterminator, quotechar, quoting, doublequote, escapechar, comment, encoding, dialect, error_bad_lines, warn_bad_lines, delim_whitespace, low_memory, memory_map, float_precision)\u001b[0m\n\u001b[1;32m 686\u001b[0m )\n\u001b[1;32m 687\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 688\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0m_read\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 689\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 690\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/usr/local/lib/python3.8/dist-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m_read\u001b[0;34m(filepath_or_buffer, kwds)\u001b[0m\n\u001b[1;32m 452\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 453\u001b[0m \u001b[0;31m# Create 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\u001b[0;36mpandas._libs.parsers.TextReader._setup_parser_source\u001b[0;34m()\u001b[0m\n", "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: '/home/user/Data/basket_20171201_10y.csv'" ] } ], "source": [ "data = pd.read_csv('~/Data/basket_20171201_10y.csv')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "\n", "This corresponds to 10 years of daily information for a selection of assets.\n", "\n", "First of all, we need to summarise, understand, visualize and clean the data. Let us look first at the different entries and their types:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "ticker object\n", "date object\n", "open float64\n", "high float64\n", "low float64\n", "close float64\n", "volume float64\n", "ex-dividend float64\n", "split_ratio float64\n", "adj_open float64\n", "adj_high float64\n", "adj_low float64\n", "adj_close float64\n", "adj_volume float64\n", "dtype: object" ] }, "execution_count": 14, "metadata": { }, "output_type": "execute_result" } ], "source": [ "data.dtypes" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Note that once again the 'date' field is not recognised as a data but as an object. Let us have a look at how it looks before we decide to transform it" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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tickerdateopenhighlowclosevolumeex-dividendsplit_ratioadj_openadj_highadj_lowadj_closeadj_volume
0BAC2007-01-0353.4054.1852.9953.3316028200.00.01.044.07781644.72164943.73939144.02003616028200.0
1BAC2007-01-0453.3353.8953.0553.6713175000.00.01.044.02003644.48227643.78891744.30068213175000.0
2BAC2007-01-0553.5953.5953.0353.2410205000.00.01.044.23464744.23464743.77240843.94574810205000.0
3BAC2007-01-0853.4653.6452.8053.459685900.00.01.044.12734244.27591943.58256044.1190889685900.0
4BAC2007-01-0953.6053.7152.9753.5012546500.00.01.044.24290244.33369943.72288244.16035912546500.0
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" ], "text/plain": [ " ticker date open high low close volume ex-dividend \\\n", "0 BAC 2007-01-03 53.40 54.18 52.99 53.33 16028200.0 0.0 \n", "1 BAC 2007-01-04 53.33 53.89 53.05 53.67 13175000.0 0.0 \n", "2 BAC 2007-01-05 53.59 53.59 53.03 53.24 10205000.0 0.0 \n", "3 BAC 2007-01-08 53.46 53.64 52.80 53.45 9685900.0 0.0 \n", "4 BAC 2007-01-09 53.60 53.71 52.97 53.50 12546500.0 0.0 \n", "\n", " split_ratio adj_open adj_high adj_low adj_close adj_volume \n", "0 1.0 44.077816 44.721649 43.739391 44.020036 16028200.0 \n", "1 1.0 44.020036 44.482276 43.788917 44.300682 13175000.0 \n", "2 1.0 44.234647 44.234647 43.772408 43.945748 10205000.0 \n", "3 1.0 44.127342 44.275919 43.582560 44.119088 9685900.0 \n", "4 1.0 44.242902 44.333699 43.722882 44.160359 12546500.0 " ] }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "It does look like a date with the format 'yyy-mm-dd'. We can then transform this field and update it." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "data['date']=pd.to_datetime(data['date'], yearfirst=True)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Let us check that it looks the same, but that the field is now a date" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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tickerdateopenhighlowclosevolumeex-dividendsplit_ratioadj_openadj_highadj_lowadj_closeadj_volume
0BAC2007-01-0353.4054.1852.9953.3316028200.00.01.044.07781644.72164943.73939144.02003616028200.0
1BAC2007-01-0453.3353.8953.0553.6713175000.00.01.044.02003644.48227643.78891744.30068213175000.0
2BAC2007-01-0553.5953.5953.0353.2410205000.00.01.044.23464744.23464743.77240843.94574810205000.0
3BAC2007-01-0853.4653.6452.8053.459685900.00.01.044.12734244.27591943.58256044.1190889685900.0
4BAC2007-01-0953.6053.7152.9753.5012546500.00.01.044.24290244.33369943.72288244.16035912546500.0
\n", "
" ], "text/plain": [ " ticker date open high low close volume ex-dividend \\\n", "0 BAC 2007-01-03 53.40 54.18 52.99 53.33 16028200.0 0.0 \n", "1 BAC 2007-01-04 53.33 53.89 53.05 53.67 13175000.0 0.0 \n", "2 BAC 2007-01-05 53.59 53.59 53.03 53.24 10205000.0 0.0 \n", "3 BAC 2007-01-08 53.46 53.64 52.80 53.45 9685900.0 0.0 \n", "4 BAC 2007-01-09 53.60 53.71 52.97 53.50 12546500.0 0.0 \n", "\n", " split_ratio adj_open adj_high adj_low adj_close adj_volume \n", "0 1.0 44.077816 44.721649 43.739391 44.020036 16028200.0 \n", "1 1.0 44.020036 44.482276 43.788917 44.300682 13175000.0 \n", "2 1.0 44.234647 44.234647 43.772408 43.945748 10205000.0 \n", "3 1.0 44.127342 44.275919 43.582560 44.119088 9685900.0 \n", "4 1.0 44.242902 44.333699 43.722882 44.160359 12546500.0 " ] }, "execution_count": 16, "metadata": { }, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "ticker object\n", "date datetime64[ns]\n", "open float64\n", "high float64\n", "low float64\n", "close float64\n", "volume float64\n", "ex-dividend float64\n", "split_ratio float64\n", "adj_open float64\n", "adj_high float64\n", "adj_low float64\n", "adj_close float64\n", "adj_volume float64\n", "dtype: object" ] }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "data.dtypes" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Let su check if elements are unique per date. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2749 24741\n" ] } ], "source": [ "print( len(np.unique(data['date'])), len(data['date']))" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Not equal... because we have several indices. So this time the index should be a combination of ticker and date. However, since we are going to work fron now on only with adjusted_close prices, an alternative is to \"pivot\" the table, so that the 'ticker', which identifies the asset, becomes now another entry." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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tickerBACCGEJNJMSFTPGTWMTXOM
date
2007-01-0344.020036484.78901825.82714647.61309622.96986146.46330719.56830336.76437555.121310
2007-01-0444.300682483.12187025.67750248.20826022.93139946.11054919.31635136.94220554.087460
2007-01-0543.945748480.57727625.54826447.77085022.80062645.71459619.01400836.64066854.474224
2007-01-0844.119088483.03412525.54146247.69197323.02370945.81538419.12878636.33913054.035396
2007-01-0944.160359478.82238325.54146247.51270723.04678645.70019719.20233636.64066853.618881
\n", "
" ], "text/plain": [ "ticker BAC C GE JNJ MSFT PG \\\n", "date \n", "2007-01-03 44.020036 484.789018 25.827146 47.613096 22.969861 46.463307 \n", "2007-01-04 44.300682 483.121870 25.677502 48.208260 22.931399 46.110549 \n", "2007-01-05 43.945748 480.577276 25.548264 47.770850 22.800626 45.714596 \n", "2007-01-08 44.119088 483.034125 25.541462 47.691973 23.023709 45.815384 \n", "2007-01-09 44.160359 478.822383 25.541462 47.512707 23.046786 45.700197 \n", "\n", "ticker T WMT XOM \n", "date \n", "2007-01-03 19.568303 36.764375 55.121310 \n", "2007-01-04 19.316351 36.942205 54.087460 \n", "2007-01-05 19.014008 36.640668 54.474224 \n", "2007-01-08 19.128786 36.339130 54.035396 \n", "2007-01-09 19.202336 36.640668 53.618881 " ] }, "execution_count": 10, "metadata": { }, "output_type": "execute_result" } ], "source": [ "P = data.pivot(index='date', columns='ticker', values='adj_close')\n", "P.head()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The dataframe 'P' has only information of the 'adjusted close price' for each date for each one of the companies that are in the database, namely BAC (Bank of America), C (Citybank), GE (General Electric), JNJ (Johnson and Johnson), MSFT (Microsoft), PG (Proctor & Gamble), T (AT&T), WMT (Wallmart), and XOM (Exxon Mobile). All of these are large companies from different economic sectors including finance, technology, energy, retail and pharmaceutical." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Let us check that we did not loose any data when creating our pivot table." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "ticker\n", "BAC False\n", "C False\n", "GE False\n", "JNJ False\n", "MSFT False\n", "PG False\n", "T False\n", "WMT False\n", "XOM False\n", "dtype: bool" ] }, "execution_count": 17, "metadata": { }, "output_type": "execute_result" } ], "source": [ "P.isnull().any()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "No null data, so all fields are complete. Now, let us check that the data makes sense visually. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 18, "metadata": { "image/png": { "height": 251, "width": 375 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "P.plot()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "That 'C' line look suspicious... until we realise it belongs to Citygroup: a huge drop in between 2008-2010 is not so starnge if we think about the financial crisis of the time." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "## Efficient frontier calculation\n", "\n", "We are now going to build the efficient frontier in this reduced portfolio.\n", "\n", "- Using one week as your period, find the mean_variance frontier if we assume that these are all the stocks on the market, and only using information before 01/01/2012.\n", "- We find the minimal variance portfolio (note there is no risk free asset).\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Building the log-returns\n", "\n", "Let us now resample using only weekly data..." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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tickerBACCGEJNJMSFTPGTWMTXOM
date
2007-01-0543.945748480.57727625.54826447.77085022.80062645.71459619.01400836.64066854.474224
2007-01-1244.061308477.15523625.77273047.78519224.00835146.79446819.64929737.09684054.042834
2007-01-1944.234647478.20817125.13334348.58830423.93142647.80484219.84166037.35198754.689920
2007-01-2642.955235479.69983024.53476847.37646523.53910846.91514620.59413836.85715654.749422
2007-02-0243.533034484.34423424.67080847.74216823.22371447.26234421.56726837.17415756.184911
\n", "
" ], "text/plain": [ "ticker BAC C GE JNJ MSFT PG \\\n", "date \n", "2007-01-05 43.945748 480.577276 25.548264 47.770850 22.800626 45.714596 \n", "2007-01-12 44.061308 477.155236 25.772730 47.785192 24.008351 46.794468 \n", "2007-01-19 44.234647 478.208171 25.133343 48.588304 23.931426 47.804842 \n", "2007-01-26 42.955235 479.699830 24.534768 47.376465 23.539108 46.915146 \n", "2007-02-02 43.533034 484.344234 24.670808 47.742168 23.223714 47.262344 \n", "\n", "ticker T WMT XOM \n", "date \n", "2007-01-05 19.014008 36.640668 54.474224 \n", "2007-01-12 19.649297 37.096840 54.042834 \n", "2007-01-19 19.841660 37.351987 54.689920 \n", "2007-01-26 20.594138 36.857156 54.749422 \n", "2007-02-02 21.567268 37.174157 56.184911 " ] }, "execution_count": 19, "metadata": { }, "output_type": "execute_result" } ], "source": [ "P=P.resample('W-FRI').last()\n", "P.head()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "pandas.core.frame.DataFrame" ] }, "execution_count": 20, "metadata": { }, "output_type": "execute_result" } ], "source": [ "type(P)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Replot to check we did not do anything wrong" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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tickerBACCGEJNJMSFTPGTWMTXOM
date
2007-01-120.002626-0.0071460.0087480.0003000.0516140.0233470.0328660.012373-0.007951
2007-01-190.0039260.002204-0.0251220.016667-0.0032090.0213620.0097420.0068540.011902
2007-01-26-0.0293500.003114-0.024104-0.025257-0.016529-0.0187860.037223-0.0133360.001087
2007-02-020.0133620.0096350.0055290.007689-0.0134890.0073730.0461700.0085640.025881
2007-02-090.004729-0.023321-0.020614-0.014829-0.040905-0.014025-0.032528-0.0022900.000024
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" ], "text/plain": [ "ticker BAC C GE JNJ MSFT PG \\\n", "date \n", "2007-01-12 0.002626 -0.007146 0.008748 0.000300 0.051614 0.023347 \n", "2007-01-19 0.003926 0.002204 -0.025122 0.016667 -0.003209 0.021362 \n", "2007-01-26 -0.029350 0.003114 -0.024104 -0.025257 -0.016529 -0.018786 \n", "2007-02-02 0.013362 0.009635 0.005529 0.007689 -0.013489 0.007373 \n", "2007-02-09 0.004729 -0.023321 -0.020614 -0.014829 -0.040905 -0.014025 \n", "\n", "ticker T WMT XOM \n", "date \n", "2007-01-12 0.032866 0.012373 -0.007951 \n", "2007-01-19 0.009742 0.006854 0.011902 \n", "2007-01-26 0.037223 -0.013336 0.001087 \n", "2007-02-02 0.046170 0.008564 0.025881 \n", "2007-02-09 -0.032528 -0.002290 0.000024 " ] }, "execution_count": 23, "metadata": { }, "output_type": "execute_result" } ], "source": [ "logR=np.log(P).diff()\n", "logR.drop(logR.index[0],inplace=True) # We drop the first line which produces NAN\n", "logR.head()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false, "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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tickerBACCGEJNJMSFTPGTWMTXOM
date
2007-01-120.002626-0.0071460.0087480.0003000.0516140.0233470.0328660.012373-0.007951
2007-01-190.0039260.002204-0.0251220.016667-0.0032090.0213620.0097420.0068540.011902
2007-01-26-0.0293500.003114-0.024104-0.025257-0.016529-0.0187860.037223-0.0133360.001087
2007-02-020.0133620.0096350.0055290.007689-0.0134890.0073730.0461700.0085640.025881
2007-02-090.004729-0.023321-0.020614-0.014829-0.040905-0.014025-0.032528-0.0022900.000024
\n", "
" ], "text/plain": [ "ticker BAC C GE JNJ MSFT PG \\\n", "date \n", "2007-01-12 0.002626 -0.007146 0.008748 0.000300 0.051614 0.023347 \n", "2007-01-19 0.003926 0.002204 -0.025122 0.016667 -0.003209 0.021362 \n", "2007-01-26 -0.029350 0.003114 -0.024104 -0.025257 -0.016529 -0.018786 \n", "2007-02-02 0.013362 0.009635 0.005529 0.007689 -0.013489 0.007373 \n", "2007-02-09 0.004729 -0.023321 -0.020614 -0.014829 -0.040905 -0.014025 \n", "\n", "ticker T WMT XOM \n", "date \n", "2007-01-12 0.032866 0.012373 -0.007951 \n", "2007-01-19 0.009742 0.006854 0.011902 \n", "2007-01-26 0.037223 -0.013336 0.001087 \n", "2007-02-02 0.046170 0.008564 0.025881 \n", "2007-02-09 -0.032528 -0.002290 0.000024 " ] }, "execution_count": 26, "metadata": { }, "output_type": "execute_result" } ], "source": [ "logR.head()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 27, "metadata": { "image/png": { "height": 261, "width": 386 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "logR.plot()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Remember that negative results of log-returns means returns lower then 1 (i.e. effective losses)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Stationarity check\n", "\n", "How stationary are the data? Let us look first at the log-returns. I will simply plot the mean and variance with a rolling window of 10 observations." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Log returns')" ] }, "execution_count": 33, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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LnlFprSeAT1Z+lvrY25jfu7HYtjdz+GMohBBCCCGEOOFJPowQQlKlhBBCCHHIJJAQx9SDDz6IUopNmzYd9jGuvfZaSfE5gh7aOcq3Ht7LloHFJoQXQgghhJhPAglxxHV3d6OU4kMf+tDxboo4iMmiy+aeSUpuwL1bho93c4QQQghxAllWYyTEye/yyy9n27ZtMpnaMpGzvePdBCGEEEKcoCSQEMdUOp3m7LPPPviG4pjwQxkbIYQQQojDI6lN4ojatGkTGzZsAOBf/uVfUErN/Nx6660HHCMxMTHBZz7zGc4//3zS6TSNjY289rWv5c/+7M8oFovztp/r/vvvp7GxkZUrV/LCCy/MLO/r6+PjH/84GzduJJFI0Nrayrvf/W6eeeaZBduvlOLBBx/k3//937niiivIZDKsX7/+cF+SZS2QQEIIIYQQh0l6JMQRde211zI1NcXXvvY1Xvva1/LLv/zLM+suvPBCpqamFtxv3759XHfddfT09HDJJZfwu7/7u4RhyM6dO/m7v/s7Pvaxjx1w9u5/+7d/47d/+7fZuHEjd999N+vWrQNg8+bNXH/99UxMTPDWt76V9773vYyNjXHHHXfwute9jh/96Ef80i/90rzjffnLX+bnP/8573rXu7juuuvIZk/OgcheENbc11rLQHYhhBBCLIkEEuKIuvbaa1m/fj1f+9rXuPDCC+f1PDz44IML7vf+97+fnp4evvCFL/Dnf/7nNevGxsbIZDKLPubf/M3f8Od//udcc801/PjHP6alpQUA3/f57//9v1MoFHjggQd44xvfOLPPwMAAl112GR/5yEfo7u4mkUjUHPP+++/niSee4KKLLjqEZ3/icf3aQCLUYEocIYQQQoglkNQmcdw999xzPPHEE1x44YX86Z/+6bz1bW1tJJPJecvDMOTjH/84f/Znf8av/Mqv8POf/3wmiAD46U9/yp49e/jEJz5RE0QArFy5kv/1v/4XQ0ND3HffffOO/T/+x/846YMImB9I+GG4yJZCCCGEELWkR0Icd08++SQAb33rWzGMpce273vf+7jjjjv4xCc+wVe/+tV5+z7xxBMA9PT0LDgmY9euXQBs27ZtXnrT5ZdffihP4YTlzAkkZMyEEEIIIZZKAglx3E2Pm1i1atUh7ffwww9jWRbvete7FgxAxsfHAbjtttsOeJxCoTBvWVdX1yG15UQlgYQQQgghDpekNonjrqmpCYD+/v5D2u+BBx6gubmZd7/73dx1113z1jc2NgLw4x//GK31oj+f+9zn5u17qgw4dvyg5r4EEkIIIYRYKgkkxBFnmiYAQRAcZMvIlVdeCcA999xDeAg5+hdccAEPPfQQzc3N/Mqv/Ap33HHHgsd95JFHlnzMU43jSY+EEEIIIQ6PBBLiiGtubkYpxf79+5e0/SWXXMLVV1/NCy+8wN/8zd/MWz8+Po5t2wvue8455/Dwww/T2dnJDTfcwH/8x3/MrHvPe97Daaedxj/8wz8s2GMB0TiKUqm0pHaejCS1SQghhBCHS8ZIiCMuk8lwxRVX8Mgjj/D+97+fM888E9M0efe7373oPv/6r//Ktddey6c//Wluv/12rr32WrTW7Nq1i3vvvZft27cvOinc6aefziOPPMKb3vQm3v/+9+M4Dr/1W79FLBbjhz/8IW9961t5xzvewdVXX82FF15IOp2mt7eXZ555hr179zI4OEg6nT5Kr8by5s5NbdISSAghhBBiaSSQEEfF9773Pf7oj/6Iu+++m+9///torVm9evWiwcCGDRvYvHkzX/rSl7jjjjv4xje+QTKZZP369XzqU5+io6PjgI+3bt06Hn74Yd785jfz4Q9/GMdx+J3f+R0uuOACXnzxRb7yla9w5513csstt2AYBitWrOCiiy7ipptuoq2t7Si8AieGuT0SfiCBhBBCCCGWRmm5ArksKaWeu/jiiy9+7rnnDrjdtm3bgCjFR5wajtTfXGvN1+/fXZPO9N6LV7GudfEZxIUQQghxcrnkkkvYvHnzZq31JYe6r4yREOIU5Yd63pgIX8ZICCGEEGKJJJAQ4hQ1N60JIJRAQgghhBBLJIGEEKcox5tfnld6JIQQQgixVBJICHGKcoP5PRJS/lUIIYQQSyWBhBCnqKIzv0dCAgkhhBBCLJUEEkKcovZPFOctk3kkhBBCCLFUEkgIcQrSWrN3dIFAQnokhBBCCLFEEkgIcQoaLTjkbX/ecgkkhBBCCLFUEkgIcQrqmywvuFwCCSGEEEIslQQSQpyC7KrSrzFTzfwugYQQQgghlkoCCSFOQX4wGzAkY+bM7xJICCGEEGKpJJAQ4hRUHTAkLGPB5UIIIYQQByKBhBCnIK9qMrqENdsjITNbCyGEEGKpJJAQ4hRUHTAkYrMfA6HMIyGEEEKIJZJAQpw0lFLzfhKJBOvXr+eDH/wg27ZtO+gx3vKWt6CUYs2aNQTB/Jmf59q+fTuf+MQnOP/882lsbCQej7Ny5Ure8Y53cPPNN+M4zpF4akec9EgIIYQQ4tWyjncDhDjSPve5z838ns1mefrpp/nud7/L7bffzqOPPsqFF1644H579+7lvvvuQylFX18fP/vZz3jnO9+56ON8/vOf56abbiIMQ6666io++MEPkslkGB4e5sEHH+SjH/0o//iP/8izzz57pJ/iqxYs1iMhgYQQQgghlkgCCXHS2bRp07xln/jEJ/jGN77BV7/6VW699dYF9/vnf/5ntNb82Z/9GV/84hf51re+tWgg8YUvfIHPfe5zrFmzhttuu40rrrhi3jZ33nknX/7yl1/NUzlqaqo2SY+EEEIIIQ7DskptUkqtVkp9Ryk1oJRylFLdSqmvKqWaD/E4LZX9uivHGagcd/Ui23crpfQiP0MHeJyrlVJ3KaUmlFJlpdRLSqk/VEqZi+0jjo/rr78egNHR0QXX+77PrbfeSkNDA5/97Ge55JJLuOuuu+jv75+3bXd3N5s2bSIWi3HXXXctGEQAvPOd7+Tuu+8+ck/iCPLCqtQm6ZEQQgghxGFYNoGEUuo04Dngw8DTwN8Be4FPAk8opVqXeJxW4InKfnsqx3m6ctznlFIbF9k1C9y0wM/fLvI47wEeBt4A/Aj4BhCvPN4PltJWcez84he/AODSSy9dcP1//dd/MTQ0xK/92q+RSqX40Ic+RBAEfOc735m37S233ILnebzvfe/j/PPPP+DjJhKJV9/4o6C6R6K6/Kv0SAghhBBiqZZTatM3gQ7gD7TWX59eqJT6CvBHwP8GPraE43wBOBP4itb6U1XH+QPga5XHedsC+01prTctpaFKqQbgn4EAuFZr/Wxl+V8C9wO/qpT6da21BBTHQXVqUy6X45lnnuGxxx7jne98J3/yJ3+y4D7f+ta3APjwhz8MwG/+5m/yqU99iptvvpnPfOYzGMbsyfajjz4KwJvf/Oaj9AyOvurB1jUT0knVJiGEEEIs0bIIJCq9EdcD3cA/zFn9OeB/ADcqpT6ltS4e4DgZ4EagCGyas/obwB8Db1VKbdRa730VTf5VoB347nQQAaC1tpVSfwHcB/wuy6Bn4u9+vvN4N2HJ/ugtZx6R49x0003zlp177rn8xm/8BvX19fPW9fT08POf/5yzzjqLq666CoCWlhbe9a53cfvtt3PPPffw9re/fWb7wcFBAFavXjBT7oSw6IR0VQGGEEIIIcSBLJfUpusqt/dqrWvOZLTWeeAxIA1ceZDjXAmkgMcq+1UfJwTumfN41RJKqQ8opT6tlPqkUuq6A4x1eFPldqEE+IeBEnC1Ump55rWc5LTWMz+FQoGnnnqKzs5O3v/+9/OZz3xm3vbf/va3CcOQD33oQzXLp+//8z//8zFo9bFVM4+EVd0jcTxaI4QQQogT0XIJJM6q3C52+XxX5fZgl6xfzXG6gO8RpVB9lShFaZdS6o2H8jhaax/YR9Tbs9h4jBlKqecW+gHOPti+4uDq6uq4/PLL+eEPf0hdXR1f+tKX6O3tnVk/PQ7CMAxuvPHGmn3f9ra30dXVxU9+8hOGhmbH3K9YsQJgwYHYJwKtde08ElWDrYNQeiSEEEIIsTTLIrUJaKzcZhdZP7286Sgd5xbgEWALkCcKAD5OlFL1M6XUVVrrF49Ce4+6I5UudKJramrirLPOYvPmzWzevJk1a9YAUYnWgYEB4MCpSt/5znf49Kc/DcDrXvc67r//fu677z4+8pGPHP3GH2FBqJkeCmEaiphhgNagFEUnIAg1pqGObyOFEEIIsewtl0DiuNJaz02qfwX4mFKqAHyKaLzFrxylx75koeWVXomLj8ZjnqomJycBCKuuuk+nLb3zne+ks7Nz3j5BEHDrrbdy88038+d//ucopfjwhz/M//k//4fbb7+drVu3cu655y76mI7jLLvKTdVpTZapsPb+nEv7H6Gn6UpGM2fx3Se6ufHKdVjmcumwFEIIIcRytFwCiekr+I2LrJ9ePnWMjjPtn4gCiTcc5ccRR9kdd9zBvn37iMViXH311QD09vZy991309zczG233UYymVxw3927d/Poo4/yi1/8gre85S2sX7+eTZs28ZnPfIZ3vOMd3HbbbQuWlb377rv50pe+xP33339Un9uhqg4k6oIs5sBmrNDhtImHGM2cxVTJY/9EiY3tmePYSiGEEEIsd8slkNhRuV0sD+eMyu3BShAdqeNMm569rG6Bx7m08jjPVa9QSlnABsAnmgdDHGPV5V+LxSJbt27lZz/7GRDNSD3d83DzzTcTBAEf+MAHFg0iAD760Y/y6KOP8q1vfYu3vOUtAHz605/G931uuukmLrvsMq6++mouvfRSMpkMw8PDPPzww+zatWvReSuOJ79qfEQqLKMW+BQoucExbJEQQgghTkTLJZB4oHJ7vVLKqK7cpJSqB64hqoT05EGO8yRQBq5RStVXV25SShlEJWarH+9gpqtEzQ0I7gfeTzQfxffnrHsDUYWph7XWzhIfRxxB1eVfTdOkvb2dd73rXXz84x+fCQTCMJyZbO6jH/3oAY93ww038MlPfpIf//jHjIyM0NHRAcBnP/tZbrjhBr75zW/ywAMPcMstt2DbNq2trVx44YX86Z/+KR/4wAeO0rM8fF5VaaaYAYr54yGKjn8smySEEEKIE9CyCCS01nuUUvcSnej/PvD1qtU3EfUI/N/qOSSUUmdX9t1edZyCUup7RIOkNxGlJU37OLAeuKd6Dgml1DnA/rnzUyil1hPNPQHwr3Oa/J/A3wC/rpT6etWEdEngryvb/OMSn744QvQhTKZmGAb79+9f0rbpdJqpqakF151zzjl8/etfX3DdcuVXjRGZnkLCMlRNylNBAgkhhBBCHMSyCCQqfg94HPh7pdSbgW3AFURzPuwE5k4AsK1yO/dy6qeBa4E/VkpdCDwNnAO8BxghClSq/RrwKaXUw0APUdWm04B3AEngLuBvq3fQWueUUr9DFFA8qJT6ATABvJuoNOx/Av9xSM9eiGPEr+qRsJQGDWtb0uwdK4IOQRkSSAghhBDioJZNIFHplbgU+DxRytAvAYPA14CbtNaTSzzOuFLqKqIZsX8ZeD0wTlTi9bNa6745uzxAdPJ/EVEKVR3RIOlHieaV+J5e4FK31vqOyhwTnwHeRxR07CaaPfvvF9pHiOWguuchpnzQ0NmQJJ0weVqHhBJICCGEEGIJlk0gAaC17gU+vMRtFy10r7WeAD5Z+TnYcR4CHlpqG+fs+xhRwCPECaN6sHWM2UHVcdNABT5gUbAlkBBCCCHEgUmheCFOMdWDrePMBgxx08CsBBYlN6gJOIQQQggh5pJAQohTTPVg61hVIKGUIhOb7egrSglYIYQQQhyABBJCnGKqx0iY1AYL9fHZ32WchBBCCCEORAIJIU4x1VWbqnskAOqqAwkZJyGEEEKIA5BAQohTTPXYB2tOj0RDfDa1qW+ydMzaJIQQQogTjwQSQpxivOryr3g169a3JGd+3z6Ux/VlwLUQQgghFiaBhBCnmOoeCVPXpi91ZSya0zEAXD9k10j+mLZNCCGEECcOCSSEOMVUD7a25gQSKgw4Z0XDzP2BKfuYtUsIIYQQJxYJJIQ4xdje7LiIuYOtCX2aq0ZcO76UgBVCCCHEwiSQEOIUMZ3SlC3PjotIWbp2o9Anbs5+LDiejJEQQgghxMKs490AIcTRpbXmjhf66Zsoc93ZHWRLVYGEMafHIfRJxKoCCRlsLYQQQohFSI+EOOls376dT3ziE5x//vk0NjYSj8dZuXIl73jHO7j55ptxHOd4N/GYGsjadI+V8EPNz7cOz4yRSMXNBVKbAhKWOXPXldQmIYQQQixCeiTESeXzn/88N910E2EYctVVV/HBD36QTCbD8PAwDz74IB/96Ef5x3/8R5599tnj3dRjxvEWDgYaUzGwa8u/ogMSlvRICCGEEOLgJJAQJ40vfOELfO5zn2PNmjXcdtttXHHFFfO2ufPOO/nyl798HFp3/BhKLbi8KWlBaf5g6/icQEJrjVrkGEIIIYQ4dUkgIU4K3d3dbNq0iVgsxl133cX555+/4HbvfOc7ectb3nKMW3d8ecHCvQpNSUDPH2xtGQrTUAShJgg1fqiJmRJICCGEEKKWjJEQJ4VbbrkFz/N43/vet2gQMS2RSByjVi0PXqAXXN6UWODfP/RRStWkN8ns1kIIIYRYiAQS4qTw6KOPAvDmN7/5OLdk+VmsR6IxsUCAEUbjKWSchBBCCCEORlKbTnYP/J/j3YKlu+7PD3vXwcFBAFavXn2kWnPS8MP5gYBlKFpTC6QrhdGYibhlAtFAbJmUTgghhBALkUBCiJPcQqlN69vqSLBAgFAJJGp6JLyQsYLD/dtGaErHeMu5nTL4WgghhBCS2iRODitWrACgv7//OLdk+VkotemsrnoI3PkbT6c2VU1K5wYhP9rcT/9UmS0DOfaMFo9aW4UQQghx4pAeiZPdq0gXOpG87nWv4/777+e+++7jIx/5yPFuzrLiz+mRSMQMNrTVweTQ/I1nxkjMTkrneCEFZ7ZM7GC2zOkdmaPTWCGEEEKcMKRHQpwUPvzhDxOLxbj99tvZunXrAbc91Wa2ntsj8a4LVhIzjZmgocbMGInZjwZ7zhiJhmTsyDdSCCGEECccCSTESWH9+vVs2rQJ13V5xzvesejM1XfffTdvf/vbj3Hrjq/qMRJvf00Xa1rS0Z3Qn7/xAmMkxgu1gZdpyPgIIYQQQkhqkziJfPrTn8b3fW666SYuu+wyrr76ai699FIymQzDw8M8/PDD7Nq1i0svvfR4N/WYqq7aFDOrrh0sMZAYztUGEuHcSeyEEEIIcUqSQEKcVD772c9yww038M1vfpMHHniAW265Bdu2aW1t5cILL+RP//RP+cAHPnC8m3lMVU8oFzOqA4kDVW2aHSMxUawdlB1KHCGEEEIIJJAQJ6FzzjmHr3/968e7GcuGX3XmH7Oq0pL0QoHE/KpNcwUSSQghhBACGSMhxEnPrxpsbRlLS22Km4t/NEhqkxBCCCFAAgkhTnpu1WDrmFnVI7FQIFHppUjGzPnrKqRHQgghhBAggYQQJ73qHonawdaLj5FIxRcPJEIJJIQQQgiBBBJCnPSq55GwanokFh8jkTpQj4SkNgkhhBACCSSEOKlprWvmkYgddIxEAFpjGqpmUrqaTSSOEEIIIQQSSAhxUquu2GQZCsM4yBiJquWL9UpIapMQQgghQAIJIU5qtWlNc/7dFyr/ChB4wOLjJGSwtRBCCCFAAgkhTmreYhWbYPEeiSCayXqxHgkZIyGEEEIIWGaBhFJqtVLqO0qpAaWUo5TqVkp9VSnVfIjHaans1105zkDluKsX2LZVKfVRpdSPlFK7lVJlpVRWKfWoUuojSql5r5FSar1SSh/g5wev5nUQ4kjxFqvYBDMDq4f8Es/Yw+TCygzWng1AR2E7p40/SNKbqt1NeiSEEEIIwTKa2VopdRrwONAB/BjYDlwOfBJ4m1LqGq31+BKO01o5zpnA/cAPgLOBDwPvUEpdpbXeW7XLDcA/AoPAA8B+oBN4L/Bt4O1KqRu0XvAy7IvAHQssf+WgT1iIY8Cv6ZGYH0h4OuTO4j5cHdDvF/nlzEbwbcj2s3L4AVTRxgxddrZfP7ubxBFCCCGEYBkFEsA3iYKIP9Baf316oVLqK8AfAf8b+NgSjvMFoiDiK1rrT1Ud5w+Ar1Ue521V2+8E3g38VGsdVm3/aeBp4H1EQcXtCzzWC1rrTUt5ckIcD4uWfgUIfcaCMq4OwLQY8AvRct+Bgc0zgUdLubtmN0ltEsdKyfV5fv8UrZk4Z3c1HO/mCCGEmGNZpDZVeiOuB7qBf5iz+nNAEbhRKVV3kONkgBsr22+as/obQA/wVqXUxumFWuv7tdY/qQ4iKsuHgH+q3L32EJ6OEMtGbWrTAcZImHEgKheLb8NUL5YxZ/vp3aRLQhwjj+4a4+l9E/zs5SHGCs7xbo4QQog5lkUgAVxXub13gRP6PPAYkAauPMhxrgRSwGOV/aqPEwL3zHm8g/Eqt4uMSmWlUup/KqU+Xbm9YInHFeKYqC7/Oj+1ycensr4SSPiEYE+BV54JPDS1AYVUbRLHgtaaLQO5mft7R4vHsTVCCCEWslxSm86q3O5cZP0uoh6LM4H7XuVxqBzngJRSFvBblbt3L7LZWyo/1fs9CHxQa73/YI9R2f65RVadvZT9hTiQmtSmuT0MOsSbLgFrxgBwdUhsNPr3mS4XG6rajwlJbRLHwmTJq7m/SAeZEEKI42i59Eg0Vm6zi6yfXt50jI4D8EXgfOAurfU9c9aVgL8CLgGaKz9vJBqsfS1w38HSsMTRs3PnTv74j/+Yiy++mJaWFmKxGC0tLVxxxRX8yZ/8Cc89Vxu7bdq0CaXUAX+uvfba4/NkXqXqc35DzU9tcqc7AI2oR8LRAZSimgbTgYepvZoDSWqTOBb6J8s190vuIvOeCCHEEbZ5/yQ/e3mQbNk7+ManuOXSI7GsVAZmf4qoctSNc9drrUeAz85Z/LBS6nrgUeAK4KNEg7sPSGt9ySJteA64+NBafmrTWvP5z3+ez3/+84RhyMUXX8yv/dqv0dLSQj6f56WXXuLrX/86X/7yl/nGN77B7//+79fs/8Y3vnHRgGH9+vVH/wkcBdVpSObcS7qhHw20hqoeidmTteoJ7AztE6poG4kjxLHQP1WquV9yF8swFUKII0Nrzf6JEg/tGAWintHfuHwNau6FuEX0TpTYM1rgNasaac0kjmZTl43lEkhM9xQ0LrJ+evnU0T6OUurjRAHAVuDNWuuJgzzmDK21r5T6NlEg8QaWEEiII+fzn/88mzZtYs2aNXz/+9/nmmuumbfNyMgIX/3qV8lm53daXXvttWzatOkYtPTYCat6Eub3SASzPRKVMRKurh2cnY6blNyAlBlQ1FEgEWhN70SJ3okS561qpDEVO7pPQpxytNb0zemRKDrSIyGEOHqGsjY/fL4Px5v9HhzO2fRNllnTkj7o/rYX8F8vDuD6IX2TZT5w5bqj2dxlY7kEEjsqt4uNXTijcrvY2Icjchyl1B8Cf0c0D8SbKz0Ph2q0ciupTcfQ3r17+eu//mvi8Tg/+9nPOO+88xbcrqOjgy984Qv4/qlxdbMmkJjXIxHM65FwqnokFIqzu+rJlj3WntvK/9sSDXbNlT3ueL4fP4yu3Pz65WvnP3BpAgZfhNbToWnNkX1S4qQ3kLXJ27X/o9IjIYQ4mp7YO1YTREx7rmfygIGE7QX89KVB9k/M9qKO5h2yZe+UuNC2XMZIPFC5vX7uTNJKqXrgGqJxCU8e5DhPAmXgmsp+1ccxiAZsVz9e9fo/JQoiXgCuO8wgAmYrS+094FbiiLrlllvwfZ9f/dVfXTSIqGZZyyWGPrrCmjESVSu0htDHI0Rr0GESgJ+X9vOyMzazWcIy6ahPkrFmP1xdP5ypBjWYtRnJ2/MfePudsP9JeOU/IZAcU3Fodg7n5y0rSI+EEOIosb2A7rHSgut6xkvY3uKfPy/1ZWuCiGm9Cyw7GS2Lsymt9R6l1L1EJ/q/D3y9avVNRFf3/6/Weqb+n1Lq7Mq+26uOU1BKfQ/4H0TzSHyq6jgfB9YD98yZ2Rql1F8CnweeA64/WDqTUupiosnowjnL30w0eR7Avx74WYsj6bHHHgPgTW9602Ef48EHH1w0teltb3sbV155sOrDy0/1wOia1KbKW9cJQhg4C0ZXos1BVOsAj5QHWGHV0WamZvfVi18N3jqQo+Os5OyCwIdsf/S7Z0N5EjIdR+YJiZOe4wfsWiCQsL0APwhrxu4IIcSRsGe0sOi6UGu6x4uLTor55N7xBZf3TZY4f9VimfYnj2URSFT8HvA48PeVE/JtRGMNriNKRfrMnO23VW7njoD5NFHlpD9WSl1INDv1OcB7gBGiQGWGUuqDREFEADwC/MECg2q6tda3Vt3/CnCGUupxoK+y7AJg+iz2L7XWjx/sCR8L33zhm8e7CUv2exf+3mHvOzQ0BMCqVavmrevu7ubWW2+tWdbU1MQf/uEf1ix76KGHeOihhxY8flNT0wkZSASLjZGoTEaXG28Bux7iBmTboXUAgP1eviaQMMPFexW2D+V545nts4PRynPicF8mEhNLo7Xm3i3DM+Mh6hImWs9WbCp5AQ3LMJDQWvPk3glGCw6Xr28hW/ZY1Zwik1hOX7FCiMXsHpkNJM7ozPDa1U0MTJV5fE8UJOwbXTiQ0FpjqOgEcq79EyXCUM9PKz7JLJtPuUqvxKVEJ/VvA34JGCQasHyT1npyiccZV0pdRTQj9i8DrwfGgVuAz2qt++bssqFyawJ/uMhhHwJurbr/PeBXgMuAtwMxYBj4f8A3tNaPLKWt4tjo7u7mpptuqlm2bt26eYHE5z73uZNusLVeLLUp9PF8g9JEK6BBKQgtdGCizIC4MiFRD050ZdgIPaK3+XxlN6DkBtRNnzSV5lyd8U6N7l3x6o0WnJov9Dee2cGzPROzgYQT0JBcPjnHOdvjkZ1jTJVdRnJRwLyn0v7GVIwPXr1+frU0IcSy4gdhTRrS605voykdJxEzZgKJ3SMFXuqbojkdnxkvsW+syF0vD+IFC5cyLDoBz/dOcsm6lqP/JI6jZRNIAGite4EPL3HbRT+dK6lJn6z8HOw4m4jSoJZMa30zcPOh7COOrq6uLrZt28bAwMC8dddeey26ckbt+z6x2PI5ETnaqsu/1lwVCX0KpThBqEBpoo49DV4SzCIBOhokPbw12lcvHkgAFBy/JpAohT77/ByrzDqaJJAQS5StmoRuXWuas7rq2TaYA6KT9Bf7ptg6qLh4bTNN6fhxauWszT2TC47nAMiWPcYLDh0NyQXXCyGWh4EpeyYYaE7HZj5b2jMJ6pMWedvHDzX3bYuGzr7t/C5SMZP/emGgpqDJQh7fPc7ZXQ2z348noZP3mQng1aULnUiuueYaHnjgAe677z5++7d/+3g3Z9lYtPxrGOAHBgEBNdmBbgKSRZx4CqzZEyDjAKlNEAUSndN3imPcV+6l18tTZ8T4TadwgBBEiFnFqknnpqudpOPmzLKtAzkApkoe77149bFt3AKe3z91wPXDOQkkhFju9o3PDL9lXdtswU2lFNed3cFPXhyo6d1/ZNcofqgXDCKUgjef3ckLvZOMFVz8MCplfVZX/bxtTxbLL9lUiMPwoQ99CMuy+M///E+2bdt28B1OEYunNgUEgRH1PFQHGF40gY6TqJ8pCQtLCCSqSnXq4hi9XnSVthh6DBX7D/8JiFNKyZl9H6Xj0XWuhcon9owfo16uke3w1Ldg38LZqnVxgwZ7gJQ3m3nbaPdx9sjPaCvuZDi3QEUzIcSy0lMVSKxvra3cf1p7huvP7aq5EFd0gnllYtNxk4+8fgMfff1GXrO6kQ1tmZl1Y4WTe5ygBBLipHDaaafxF3/xF7iuy9vf/nYef3zhse5TU1PHtmHH2aIzW4c+fqAqg7Ery+N1UWoT4LRsmJmkDsDY9xAdpd01kUn18YrTJ4BaUygN17Rhsu8Z2HmvlIEVB1XdI1GXiHoiFquU4vrz670fcVt+FI356X4UylPzVq8q7+DckTu5YOh2Wkp7aS51s3H8YZrsXk4ff5Cp8cOtIi6EOBa01kwU3Zn7q5pS87Y5d2UDf/Dm03nT2fOrD56zop6PvfE0PvK6DTQkYzMFFtrrZ2e1Hs2f3IGEpDaJk8ZnP/tZtNb81V/9Fddccw2XXHIJl19+OS0tLUxNTdHd3c0vfvELAN7whjfM2/9A5V8XqvJ0IqjuetVeyMRAkYb2JJYOcAOFpiqQSDaBcqEthp1I1wQSAKeP309rYgc72t5KaFg0p2OMFaIP4Px0IGFnyc0ZEzEalKH/Oci0w8qLjtZTFSeB6knnZnok0jFWN6fmzXSdtz1aMwmOmnBOoGJPQaqpZlHX0EO4gNIhZ479gnTcpL7OYjjKwMIcfoEgPF8GXAuxTDl+OHN9LG4ZxK2Fr68rpThnRQOP7h6ruYixujlNqir9cpoEEkKcgJRSbNq0id/4jd/gn/7pn3jggQf493//d4rFIvX19Zx22mn87u/+LjfeeCMXX3zxvP0PVP51oSpPJ4KZDgmtGXllAgeDTEuSc8/1mZnfa7rL1rDA7EJn4ji+A3Oq4yilaLT7aXAGmEqtpSkdnwkkZnokypNkQ7dmv7Ggkt7R+7QEEuKAis6cHgnfgaGXua4jw/ez5sxEiAB52z+6gYQ7p668W5y3iV8VbCQtg7O66klaJtmSh+2HtOV3MDA2xZqO5qPXTiHEYaueaC4Zmx8QVItbBhva6tgxNFtgYXXz/B4MgKZUjJip8AJNwfEpuf7MxZGTzcn5rMQp7ayzzuLv/u7vlrz9pk2bTrqyr9NmeiTKAV4phEyCwoRN6IXMpqNXXS0NDMjGcJLOvB6J6VrZVhhdXWmuqppTmAkkJsjNCSQmQhtfh1jJk39iHvHqzOuR2Pcg9D1Lm1L85ms/zB3bS+TKUYpczj7KqXJObs792upMXhDOBOqGggvXNqEq/0sNqRh23sEKbYYe/S6r3/N7KFNKDgix3NhVYx2SsYNn+5/ZWT8TSCRixoJjuCCqktiWSTCYjS6kjeYd1rWenKfcMkZCiJPYdCCh8j7VEy36rocbVu4rBemqmav767D9+YHE9EnS9OR0zXWzH6CFqh6JuYGE1jrqlUicvFUrDpc+SOnAU4nWema+CKhUa5rYO72S1nCCc1fMjpfI24vPtn5EzAkcsGsDC8fzmQ7CTUPN/H9AlGc9fc+f7GVoxzOLPozW+ugHRUKIBdX0SFgH7pEA2NhWx+kdGeKWUTsR6wLaqnpMx4vuotud6E7O8EgIAVQGW2uNynmoltnAIHAD3OrzsNVF2NMAgYKShZ0toldZNdPGz2RA6WjHhmQM01AEocbxQlw/JF6an9oEMBQU6ToKz++EpKNKWYXCTsbG7ieZXEl7+1sAMM2Fu8lPBbYXzhQHiFsGMe1BuWoeUq9MfXL2K2u6Z+KomRtIVPdQhCHuyG4gaq9l1F6TS8ZMWltaGJuIZnmf7N/JinOvnvcQWmv+37O9DEzZXL6hhWtObzuiT0EIcWC2v0hqk9ZQmgCvCPUrwYw+ewxD8a7XrlzSjNUNVb0VRecoX/g4jiSQEOIkpjXghigvrKny6rtezRiJte2rOLv+Yn6x+VFCHaLzFr5h1Mz/YMwEEtEJXMw0qEtYMyd0RccnvkCPBMCgX+TCU71qk+/AS/8RVf85/71M5p8kDB1KpX309HwLw4jR0fFLpNPrj3dLj4tiVWRbFzehMFJbv9gr09gw+448+j0Sc1Kb7Ozs71t+iNW3deauZc4/oUiedR08cTsA3vg+0JqdIwUe3jnKxvY63nR2J0M5m4GpKPXh6X0TEkgIcYxVpzbV6SK8+AOwEtH/e24wWtF6GrzmhppS6QcLImC28hyc3IGEpDYJcRILtQa/kt5U1b/gOz5uMH1fkUwkaGqrwzQqH3xFC5vatJvpLlyz0iMRM1V0wldRcj125vbhhPM/MAeCEvpUDyR6HoNsP7hFgu6H8NzJmtVh6DE69guC4OSu8FFNa43jB1FaU9VA63TCigKJav6cHomjmQ6kNdg5Co7PrpE840VntofCK8PYrpqB39YCJxWt687Dq/Qw2aUiQW6IR3aOEGYHeLlnjMmiS3ZOr0q5KrVLCHH0Vac2rRx+ECb2RfPHTAcRAON7YHz3IR87UzWbdcE5ef+3JZAQ4iQWhHqmdFPNvHNuiBfMjpFIJuLUNSWwVOWDrxDDDud88Gko5JvxJkzQmphlEDNnP0KKuUEeLO6P7phxzoo3kzKi4zmhz2A2z3h/gTA4BvX/l6P9T8386o5vWXCTwC8yMbFw5bCTjdaa+7aN8M0H9vDTlwdnx9kAdXELCkO1O3hl6pOxmfdxwfHxjsZ7KQwZfvhmenc8z9bBHGMFl90jBXynGJ1gFEcB8Kseu9h6Plz5sZrDpOsa8OrXRofUMNi9nZbBh3nN8B1cMHQ72aJdU78eYKK0eB617wXse3GU7pfGCIIQp+Qx2pvHPdo9M0KcxKYDiYSfJ1Pav/iGex+cXxL6IOqqAomTuUdCUpvEPGHoEQQlDCOBaSaPd3PEq6A1qGB+IOGUfHwqH4pmSNJKksrEsGIm+IBnsH9HidYQDCOaofq5QkCYy5Aox1HNHnHTIFZVc7t/9CV8HR2z3uhkfeJtlIo/pTc2gHYTvLDFom1qhKauNGdedoqNmKjK9dda41CCyhweIZp9ZZfQ3s/6xvXk89tIJldRX3/ecWvuUaU19D7F4OAAO8fX0ORPsXdwBbuGZ8ut1iVMyNdObIhnYxqK5nSciaKL1jBecOlqPLKfUbnRHvbt3l7THxdqKHsB9Vt+BM3rAWp6JIxkA6SaYe2VMPwKbIjmqUm0r4epHQDs79lNVz76PennsMf3M+m11jz2ZNElDDUJy6CjofZ5jXZPMfr8C6AUI93rUaaJDjWp+jjnv3HVAQd9CiEWZnshTeUezh69B6u9bvENi2PR//aKC5Z87NoeCQkkxCnE93No7ROGNoYRRynpuDpRBVrDTCAxe6LhlIPKrNaAqUmaSZShSDaY5Cvzfj35ylYSzc2c0zTFM84wYxNrCFSJjrCI1Z+jNGETq0rpGJmMcsa1hsbxS3nF7MQpX4VuvgNG11KupERNDZXIjpZpbD+FBhaP7sTXLn3sYiIo4OHR4nVhxlL0hU3scotkghip0jCrM6uZnHySTObck/PkMNtHsOt+BnunuCiIZqAvxVp5qeu9M9Fua8qCoTFGgzIPlftpNZJcW78CRVQJZfpK/ljBOeKBxMjYxJykvojnh5AAJruB2lnjjWSlItlp10U/FY1tKynsqtwZ20U1uzDFhJ+pWfbzrVHwpBR84ByTNj0FnedBLMnk1lcgX0m3iKXQ9SsAKOddnJJPsqqKmu0F9IyXWNmUpD4pZWeFWIzjB2yceAQAy1zgXKd5HUz2RL9v/ynkh+C0N80Mvj6QhGVgGQo/1Lh+iOMHJJZQGepEI2eIoobWGq39qvsnbxR9Kgh1VWpT1XKnHMz0SCSzRWL3Pobb10e6vfrDUfFSfg3PDV1Nnz17FUYFWVbkX2bX/S/j7J6kLb+DlDvBeG5ftEGpgcGpRnrGS/TlU+jBjVCux6saO9G3feKQSp+e6GVSw8IA+/VOnnN62eWN0+3l2DG+Fdu32Zkbjqo4xTYyZmfRaLLlYcrueM0xvMBjoDCAv8AYlBOFG7gEuQGG8zZuVWpQ2hsnFs7OXN1u5iEM+HlpP8Nlj609TTy9wyXww6M+Y6yeMzP7NKdqNtuxglMz03YssXBQ3NzaOfO70rVpEW5+jMmSR3Opm43jD5Gu+nvHvTylp78Hu+6F3b8AwBjfObvzRHfNsYpTs6/D6P48P/zhDu56opfbnu2rCXiEELUcxyYeRP/zC4114qxfgnh69n7/c9D71PztFqCUqklvKi2zcRK2bfP000/z+OOP4ziH/1kqgYSooXVwwPvixBJqolnkmJPaVNb4WqN8TaZ/EnNwjNzPfsaajW2wdjbFJBfahA2ryI3OfpAGlQBEje0k1ruL9u4tnDnwH+TcHNpO4/efga2bANA6hleIuourA4nilFNz8nMgTww8wbdf/jbPDT93GK/A8pDLv8JgODmT+gVQdHO8NL4VX1W605WJq+rYNbmTreNbuWfXvxNWtvdDnzv23MEdu+/grn13HY+n8KrtndrLza/czL/13E3PVJGBsMgLXp6yGQ04TvqzVZJa9CRjQZlJ14fBM6DYRP+oZnBPlrbMbBnj0cKRCSRc12X79u088sgjbNmxj6qYgVc638PLXe+laEUTKmo0+8ZqZ7k26hdO1WtuasI3Fu4xyU2OEnMmOXPs53QUd7Bx4uGZdW3FXZTsynMbehnCAMc18MaLeBNFtFF7NbSYdfCcgMKkzZ4XRhkbKmIM2WTLHiN5+1BfDiEOSTHrMD5QIDwBg1a/PPt9ZybStUEDQKoJTn9L7bKBzVA9htCz4YXvw+bvzptvZjmnNw0MDFAsFnEcB9c9/HkuJJAQNY51IBH4IXbRw1tmkfrJIgyrUpuqqzZ5Gp8Q0w1RKsAyLLTtcG796Vx36ZXQFp18BGHAlDOJJjqBAgiqEj8S9hjFQjN9o6vBjaP7zsIP0zPpcErFZq4861SW1tWzqRyDu6vKaS7CCzyeH3keL/R4avCpZXs1PghsstnNlMv981dqTdnuJVtVjUlj4IcWhfjpUJU6WCZJ1skRak222MNgcZDbdt7Gt176FqOlaJBvX74P2z8xTg790KdUucJ/d/fdaK0ZzI3zQjDG9rF2cmPr2VKOM06ZRCWQaEzFiJdH2eJMwMh6cKMTcTt0GdufqwkkxgrOAXurisUi2ezB32c7d+5kcHAQ3/cplYpMOlH6QW/jJRQSnRTjbQw3vBaIUpqmx0fkkivpbbyMWH3rgsdNx038ZPOC63RpkpW5F1GV/6eMO4qq9ADXuWM1k/M5g3spjjq443ncsTwtepgNF7bPvg69BV68bz9bHx3AqdTFV24AWjNeOHknwhLHXznvsu2xAfY8N8LAzsmD77DM+O5sz6KValx4o85z4ZpPzt53CjCybfb+/sejlMdsf9SLOPRKFFwwZ8C1u7y+v/L5/ME3WgIJJMQcxy6Q8L0Au+gReCFu2SfwT9FqPkdRqDVqgapN6JBAawyvEkhUqjXpiSnObT2XDetWzWw6XBqh+qMiICSPyz4vh1N5vzi+iZFdRdkNQc0GC0rFZgaq+m176Fw/+0E9OVRkx5ODBAeovFP0aq/8jpXHDvk1OBbGxh9gfPwRhoZ+iO/na05utZOjGExSqMy/Mel00aHPJxusxDVaoDAazS0B+EY92bLLwFSZ8alRHul9ZCaAqHm8Zfo6VPNDn9t23satW27lwd4HZ5aHnsOAbWL4KUxDYRQ62MwICS8KJOoSJi8Ob+aVMaA4+34phz5u0UYX/ZmJoxwvJLdI1aJCocAzzzzD5s2b2bVrF+Pj4wTB/M8zrXVNsBH4HnnPINQQGLNpVC8Ga8k3noFXCczH0qezteOd9DdeVDuRVRWlFLHMwnND1LmjtJb21ixrogBa0+AM4vghfhjSO9TAiz98AmckunJqEtC0/2ka22bTqXw3IKy0q6aEbKCPSvrXkZC3PX728iCP7R474VMXT2XdL4/PvPcGdk0d38YcIq01oTPbIxFLZWDDG2c3WHvl7O/xNGx4/ez9sZ1R78Oe+2sq8jG2C7b9BJ67BcpTy3YuCa11TSBhGIcfDkggIWocqx4JrTVOyad6VKPvHd1AQmuN67qUSiXK5TLhIZZyOxFFqU3zeyTQYdQj4YW4XpHu0SFy5SLBWHTSunHtKmiNTkAKbqEmCrHxGaLAWFCmN8wDOuqlyDVHV2qNJGHKJGGZGCoa6GmrElmdJ1WvqGuaPTnLjpaZHFw4Jx2g5NeuGymNLLLl8ROGDsVClL+udcj+/d9hf+/NM70Tbm4X2dCOvrS0SYuZ4U3p1bwtvZY1TonL81OcNdEHdg5XZcjZ0f+c9ovsG1u4dvmJEEgMFYeYtKMrlFvHZydvCwMXy26KfreitC7XS6L96L3nlMZ4rLsfxivBbKXHxtYBQeAw0V+ktapXYqpSMtXtzVN8dhh/PLrCODExOw6nr6+Pl156iWeffXZeLrDrujXd+mHgMaVdXvDyrOycDYodH749fgE7Vv8qu1uvY29LdFJhGYqWdJzFJBrbF1yu0Jjaw1Rw0domzuqs5zfOS7EukcUKozbmyiGDY/WEVbXuY8oF38MY3U6s0A1uoea4ZS8g5U7Qmd/CiskXFg0kHD847FSU0f15erdN4L+KeS+e2jvB9qE8T++bYM9o8eA7iGPGLfuM9xcO+vcNg5D8ePmA21TL5XI8/fTTvPLKK8vi+9fxQyw/ar9pKIx4HXS9BlZdEhU5WHNF7Q4tp83+XhyDrT+uDSKqlafgxe9Tb82+hkd9Es0F2zEJz3wbnvuXaA6c6cXlMp5XmVw2FqOu7gAVqw5CqjadQnSlgo/2Q5RloKz5ceSRDiS01gtWngn8kLmlUQIvQCfNJVeq0VrX/CMstt/0icLcDy7DMEgkEgvuc7KoSW2qjiMqPRI4Ho4zhe0m2D8+QtvICCmgK9OF2phHZzzoydTs7KrK69g4StEo0DBwHiGawHUgDAnLQzSqMc5efzZbRhqxMSg19mL6AY5X5LSLO3jp/t6Z4xWnHNpW11avmVk3p0fisAOJ3EB0QrpILvurUSp1z1sW+EUGB/+ThoYLYHIvE0HUze3FWtlgRFfZN7oeGwGSHWy2RyA/hN14GoUwQ72Rj040CzvQdZdjYRMLptDKIlRxxqeepZRpWtazYOfcHLFggliYp2ytQFfmSdeeT8JNY8TyYDZBCI26Bd8bg1Ebe/wltL0GgDozhRcPcJu3wMAZlN1CVPGrK8Z0EtlUyWNNfYC9YwKtIcg61L9pDaVSVRAaakI7oFDO8eTDT7B6xUrWn7GRwdEhdu3YSWj7GEkLDEXeKzCkimjPp93qBtbXPK8H+g2oO2Pm/q9cvIpUfPFKLKnGdg6UQNBWnyBpmSQtE3beyQWjBUYBgpCRIdCBxh2ZzbuOqSjo8X7+HepjZzExNQqrLp35Hy27Pi3lbgBaJ/ewI3seWq9GKUVurMxYXwG7zuS+/eOk4iYfuHLdoj0qCylM2ux7MQr6Aj9k/WsObzbul/tne4Ge7Z7g9I6FPwPEsRUGIdseH8QpecSSFqdf0kF9S+04nzDU5MfL0cXAOYIgxFyo+hGwbes28kOT5GNZ2tvb6ezsXHC7UmkfjjNCOlyLt3UP8Q0biK9eteC2c+0azvN09wTnrWzkwjVNB9x2ouhihdFns2UoiKXBMOHM6xfeoa4t+j/TGkrjC29TrTxFx9iTQFTKe+4ElMfEznujXm+AgRdg3VVAbVpTfX39q3oICSROIdoJCCtXGAxYUiABIVqHh1wCVmuNU/QIAk0iZWFYCqXUzMl+sEDvgw4h9DVm7OCBRBiGlMvlmVQFrTWWZc10z/l+9AFnmiaOs3Ae9XK4InK01VRtqnpZAx0AmqS/G9+IPkj9wGdqfw+NQF28cnUiOf1+UGgNfiKLWzeC4SdpaM1CKUYel8ArY05W6v7HYqRXdBA4fbSnfSb8UfzkJFpblNwcbY3NnHl5FzufjiYcK2YXT72YG0gMl4YX2XIRWsO+h6Hn8egFeM0N0Hrawfc72GFDDSpKXSkWF5/xNJd7CS+7i8nKFWbPamV947nzvoRWWnVg91FM+oyF55IxnkURYIZFYqUdNJp5zmjayK7JqIRoKexhyCqyatWvk0gs/GV8vE0W9lNvb0cpSHn9aGWgsdBBgXTndpQKyZU0uthM2m+ixTCJuzlG7Ki3RaHY2HYuE4mX6I/lwQgo5PrIuGUaW9bNPM5U2SMseEz/i+tQY++YJN87Qeh4GHUxvMEiYWUclgfs2j9Ffusow+Xx6G8ZalTcYOVFGxgOJ6LHD2IMFsfwtYOlFr7gcN7KBlY3pxdcNy3ZuoasMjF0QDa5mtamDP7Q9pn1q5pqKz7VxU1GXZ/4K330my0YxhRUxtd4gUuoS2hT4wznaDm3zEQ2Fa23opM9r5wnEYYo2yPMgLKzTJU8mlIxHrqvh4HxEnaoCc/MkLc1m3smufr0pQcD4/2z/5Mj3bnDCiTcOWms3mH0jCx2kWopnJLH5FCJ5hV1JFJyGlStmHVxStEJr2f7bHt8kJVnNLHqzCZ2Tu5k79Q+3N1xGgrt1MWi74ncWDeenaep80zckk+qfn4PndaaXO84Qa5Surl/ZMFAwnXHGRr+CToImNx8B/XDq7C3bqX1wx+CWAztuhgHuAB450tRieSR3AhnddYfMMh/pnuCWCWQaEha8wdaz2XGINlUMy/QwbRMvUJbOc5Y3RmMHcJ4JR2GlJ97Dn90lPSVV2K1tCx53xlhCBOz6ZO9Wx7jpZFWLjt7LRPj0XPQWmOG8VeVWi7/QacQZRpMj4HQXohO1H4QR6VfF8ohDg45kAi8kMCPvhxKuQKG4aNMk2S6DpTCs10wTBQKw1QzOZa+F2DGDv5YruvW5Ds7jkMyWRmUadsz6QtKKRoaGgBYs2YNzz777Mx21cHF+vXr6enpwfM8LGv232L69TlRc3ir55Ewqv7WfuijTJuYM0RoNM0sH+3fz1rPIxaLkbSSlFMO8akiqaEsKnAZXp/DT1dOtJpOBzVJXjmYbnRyoVEowyCZsoglTAxvAKN+DFQU1JSd6MpqunH2i6aUc9GhRi1Qem9ualPWyfKLnl8wXh5HobmgYSMkG1hTv2bmS61Gz2NREAGzQUXLxjkDRpYutH3s7RP4Y2WwDNKXdlIu7yf0AoJJByNpYjbUfsmNl0cq/1vQk+3kwVwXb4sN0lSVDtNpprnUauKJIEMscRGTXoEWI5r9OuaPkYpnyMRnr9iW/TKhDimXe5dlIDE+Pk7PloejNKYGCxUz6Eq3M1wYpE7ZoFJooKWpnxIFQqedwkgrbv0w012VHclmks3rWdu4k4Fx0Kk8w/k+OpwyxSdyqPYz0M1xpkouYan2Sp/bm6cwMIXnuxh1FmfUr4N62DE2+6U6lK8de6LdkNHyGF6siOVYKCAsGbzk3EFLbD3rU3PSHOCAJynT1nZ18PTqd2PmB1h97pW0W1MMDW0nZirO7mogEYtFV1EAP1fGeKGHeG+esdRGxvUKujJ1KO1j5weZtAcpqTye59PlZ/HXDGF7jSS9MlhJkpkYRjCOOZpHuT7W6AidzpN0N6ZZdc7Z7BuKrkIqgFIAdRb7J0pcvYS/qdaagayNPecCjGv7xJPRZ2YYan72yhBDOZvrz+1kTUsaPwh5pnsSy1RcsrYZw1CMzam2NVV0CUKNuVD5zYXa4nlkf/xjgmyW+uuvJ75mzZL2g6gXZdvjg7hln8E9Wc563QoSCWvJj31c+S7k+qFhJVhHvje9mHUY2jOnOIHWDOycpKTy/OLFp2EqetyYkeWC9tdgFycZ79+CgSLwHJzSugUDiXK+NBNEAHiVlCgnO0m+fweZztNJtraRy70EWuMPD+OGvdSpTpSrcXv7yd75PKEdUP/fLqDukrPmPYbt1Z6/jOYd1rYuHByM5G32jhbZGNgoYGVTCm0lOei7INO+tECi7QwY20UqZnJ6/8MU423kaD7gXBKO47B//34MwyC9axfWrugiVei4NP3KLx/8MefKzvb8l72AvsFxmvq+zX3PXUVoKGbSQppbsIuH31sigcSpxFIoFBodnRiHGszqQCJkXr4RVCamO7RJjaajW601vucQS5gQBJTzuSglyQkxrRhWIkU8FcMuRG9i3wuJV07afd/HNM0FBwEtNGhyWnUOdHUA0Nvbyz/90z/xh3/4h/PWnax0uPBgaz/0MRPDeKHCqOqGzhULlPfuhUKBNU/uIm/nKA9EV/CTJZ90aQp3evxrpoMgsxZ35yjxoPIFoRTKNEhUUiVMNJZjQRK0pxkd6GV1+/mYcYWZMAickLBSuWuhL5/pij9Fx2cwa9OUjqH1DvomS8RHXmYo5mK1rKWx8wJ+s+VCVDwdBQoQ1fve90jtAfND0SC59vlfQkthb5/AG63kmXohxVd6ca0c/lSlylUBVNLCMDzMICSIJ8k5UwBksy0kypcyGl/JNvcxrto4+3yVUlye7MT2O3jObKAcvoFC0EPGKBBqTcpKYymLWKwRz8tGA+XcPPXu8hszks1mefHFFyEYjlKN7JDzO88lZaYYHulHB1bly1oRMyzS9UMYmSlGRpJQrpzcWy4dqQ5aV2dYm17PC5OPUU7ncItNjIc2jYFGDdnoxhjZskc450sw1CGOH70nw6JPU0s9hjK4eMP5PD+wDb1AlTiNpnd0P8SK4DRiKKBY5pymUfpKOZzwXBJGbQpAagkpQXHL4L3XXclE0aWrIYlhrKErfDux/qcwlYIz/hvsvJfQC8g9241KrGCiZSNlzyLwDRw/JN3YiJu0seodjPEiRS9kr+3RMDhF2Rwn7pYwUs00r2+g+aGtBO50hTWLht69TP7UYWLUBmY/x1XRR9dZNdWhDuS5nkke2TVGbMTmgnSaZKVHuzDh0LIyOpXYM1pg53AeCj73/nwfv/6203lprMCTe6MeuKRlcs6Kel7onao5th9Gg8KXOrmgs3s33mDUo5m7805aP/IRVHz2/+lAvRXD3TncctRjPTJR5pHbt5Fel+H9V6xbUmAIUYrKK5XUrLM60hi+TWNjI6Z5lCYb0xpCH57/bpSm0rweLvyNI/oQ+QmbbY8PwgLfi2W/zPYn9oM7G7x4ocdgcYiB3ufxi0M0xOvROciNTdLUWXvyXiqVePmpF2qXTRXQWtP34n/guMNMDjzB6vUfxKubQAcB3uAAACNtzxDz6wgeqoNC9P+Xu/slzEwD8TM6a84PpuZcUBgtLB5I7BmJLn7FwjJx3cze/V2UsyH1awc547LORdOzqGuH0ao5XdKtcOmHo7/PM9+OKjqdeT10nAfPfw+jOEY6Bq3FPfQ1Xcp4wWVl08Lzzmzfvp2JiQmCiQmc3Xs4J5Gg3jTx+voIXRcjvvhYLMIwqh4VeLD+9dHklS/8+8zqouOjNUyMr6Lk9jAabyeTtOhsbKQuIalNYomUUmApqPQUhJ6P1i5KxTDNBFov3O0WBGVMM41SS/uQ1FrP9EaEYTSguvqK83Qp/cD30NrHNJMoI850HBP4IZ7v4nkehmFQV1c3r+fkUNOSmpubUUrxla98hRtvvJHW1tYFj+E4Dqa59HEay11YlUJmxQxWnd5E3/ZJrKRDrDSAHyriVc81CEP6fvRDmuvqyUyV8OwCoTWG47ehdImWkSGmVkQ9PJgWZqgIYkV0EDBzfSMRp6WjHV2YwjQUlmtCXGP2Bexzn2VqOMvurjxeNk2y0EBnuoPCVPvCgYRfQmvNrpECZTdgrODgtqQZHR2hvZwj65u0TvWStbMUBvdQb8ThovdD01roeWL2QGYs+oCFaIDcue855GAiKLizQUSFkx/HVzahDil5RWJmHKtg0Vwapdlvpze9Bztw0XYdhb6LSMZa0IZmR/x1XJnsQ3WeA8lG2HE3AO7kADSdQ5O1ll7/KszwUepDn8ZEI/X159CRuIQtw4/TZL/EaHmUNmf5BRIDAwPAFJoiBApdjALGgckBvJIHevb9lkjHcHNgGA6G6RB6NjQNs7Izx6XrryJ5fjvGyGouSrTzeN0YalQz7jm0JpJRgGwHZC2PIFF7AjEdRAAkrDhGpUe1+dwVdLYUmJyYwJ+wo55ZJ0AHmpJXZqyvTMzw0EaA0haN8R46gzyZpMFUODo/kFjiiWcyZtacPCTPfBM0r4xO2jrOgan9FO/7BWXXog+DICzg+g2UEpqxDWdxemc9xZf3M1UOaDcctBdiaGjbPkD9uTHSqXNp3NCIskeo79vLlNqAoSAkTizMk3V8Cs++Ah0XzcxMqQo+uiM6Kf7nh/fy7gtX0tmw8In8CyMv8c3n7yFtNLPOPodR32BNS3SCNro/R/OKNEopdo8UINQYfSWKoWbbU0M8iT1zFeOR3aO83J9lODe/fPFQzl5yIOH1RyNktAbP0ZSefZb0VVcx3l9gYFeWMAg58/Iu0g21PZ9hEM5ccdfAjqEcWinyTQ5bB3Ncsi4q1atDzUhPnvGBArGEyfoL2ohV/tZ7Rwv85IU+Aj9A65BHH9vLGW1Jzlq/mvPOO29J7T8kng0v/OtsnjtEpUZLE5A+jHSXRQzvy80LIs57wyqeemQb28Z2LrjPQGGAwIk+o6fLVg/u3sHa82bHM5RKJZ579jlKg7VX8Yv5AtnnunHcKF3VI0du33ZKq3vxhkcIHQNlhKA0nlVkPHyKZuP1GGECTcDoj39GzLJIntFKw5uuxairmzcGYW7PV7Xu8SJojTdhkXNWko6b0GyRGy0zsGuKNWcv8trWRcUTCqUY49k0rZdcTsaMRd8xV3wM3CKkmgjyLnbuIoyJZ0nH8tR5UTC9WCDhOA6Tk9Fr5A0NAZph36e+Epx6/f0kNmxY9Pkw+PzshTM7C+O1Kbe2FxCGJo6bwKWIoX0KDqyJdbzq8x2p2nSKUZZBQAmfKVxvDN8v4vtThGFAGM5++ZpmBqWm40xNECy9br0OdZR3TFQBBaJUJ601KFXTE6AU+K6LUfV97Nk+rhvtF4bhvBP+KE3k0HoT0uk0f/mXf0k2m+WLX/zizHEcxyEIgpnjOY6D4zh4nndS9FgEwexzsGImK89o5rVvXkPnacOYZR+tFUmjnrr0GozK1cqpUpT+EDOiL+FUrJ+6+DZC90XiUwGpfHQ1b0X9WgwD3PpBtI5OsDUGnHcNK5u6SE3laZ9KsKqwBqMEeBovcNm550XcvjFI+9i+TU9uP1t7otz/MNRMDZdmeqiKXpGc7VN2AyyViNKDxku0kSKjY5S8yqwWdo7c9Pt3dEdUncKpDCYzLLjkwxCrnKSEAey8p3ZCoSVw9uXmLQsqw2hzbpa8HTJRKuD227i7zyZ0krSVGsn5CfLD5+METTO59jm3i2fG3kqvfQFkogHgXhBilKMvG6UUq5JvYEq9GzP5Zk5f8Q5aW6/j3NZzCVQalGLKmaRojxIEi39ZHg+FQoGQPdH/bclClxVD+0cJggBDA2Hla0cpEokYxKO/g2WVITaFahnmslQ76eZ6DENB25mcE28hqUzWx01WltoxygniykeVAvxQU8rNqcSUDImva0CZimRVCojVmmTdunUow8BqTXHGledxwdUXU5+ow/EM2sopLpi6mDUqTdo0SJcmSA3mOX1sistWT817rkvpkViQUlEA0Xlu9Jl4xjuw9Qa6jVZK5RASSUZiPiU9xvjgDvqLgwxjU2xMUMhk8MKQkpEi1Jrk1h6aJp9h9doYpZ/8iFjl/8BQCrOuDkN7uGEaPxfDtEszJ4vKDpieea/g+Dy9b2LBpr48+jJ37rofL7TJ+oMMl7YxUTWQfWQoy49ue5j//OF9bHt2K+O53eTcfnztsbsvB4XZAbmOFy4YRAAMZZde/ccbHIoyFaea2DHeSvdjuxjaMUr3k4O4k2Xcsk9/1ZwGE4NFXnmoj62PDsxUIpouxam0xhiyGZiafU49W8bpeWWMwoTN5GCRvZtHZr7Tntq6j9K2x7B3PI6z73kCz2Mk5zAyMnLE6vJXC0a38cTYy9xX6qUc+tihH303Te5bdJ8w1Ic0o7kONdnR2jTSglfg2dyT7Gl6oWa5UmrmfxZAO9HfLUWSpBsju7eXsDKXSRAEbNmyBXu0gJ4zLjLQIU9uuZ+cU8ANPEaLE/SU78MdyuH2Zwn9OI6bQPvR91JIwPiKR8m2vsRE51NMdD7JZGYr9s5BJn/wH5RffpmpokN7YQcXDvyAVdnnGc075CdsJoeKNRXKSq7P8GgRY28RZypFcjqdupJ5MbQnS3mx8Qz1XWgUu3tbGc62sau7aea9gRmLJrADylvG8Z00braelNdCnRuN/VosuBkZiVJgw2KRsBBVYpsKAnyvDIUhvL27al+/IGDXrl089uij9PT01Pa+j2ybvXBWCRJsLyTwY4SVjJSMO0rKzzGYDaO041dRgU16JE4xoWETUvnA1kRfJDEDrd2ZQMILPHJBnoRhEVfRBawwtIHaHHStNUFQrPQq1M2kPwW+RusocJgOJKIYIk2qPonnBDjFAoHvVaXbBEAl8vZ8/CDAMBRmzCAIgpou4+rAwjRNLMuqWRaPxzFNc1438+///u/zjW98g1tuuYWPfexjnHbaaQvO6Dh9P36gbsQTgNYaXekZyvpDvDDeR2sO1jasxdMOqhQCBu3xs2lKrSXuJ5l0d5Erl/CDgIQZPX+loFzOAyaOD5khj3h7krNbz6W3MMRYXSfJ9B4ILQrJdtZ3tpIbv4vx1EtY8TqaJs6kudSMoydwfDuae2LfKKpFo3ujD6++ZBJ99UX0b59kcM8UZszgvNevougVGamceJyRvo5RbydxleFyb5QuXeRJBvBDTcxQ9PkFmo0k6cnu6CRtWroZ6lrh4g/Cs9+JPmDdIvQ9E5X3O8DVGK015ZfG8EZqv2TNxjhB1sUnCi7KXhm8DeCexnBhlGG/xPqBFI1rYuQnT4NCJ8pIzbvyM7hnihUbVmIphe0HpLwcKXeCcqwJU8VYlbiI5lSa54dj7NvSS3M6TsrqwFdprLBIf6Gfde4oqdTqV/FOOXKCIKBQGMUPeyCInquhDFzbwy6YJAIDN7qeQEwlsMy1kOhHp0Yx60uYuoHfqj+HtGFBZcC/NmMkGjdywe4MOSNE100RltpZawQMTbl4dRZ22SWeij5/MlesIDs5hNqrsNrTJAtRIGG1JFExk+bmZi6//HIgusAQugETzxfYo0crJVlNznbXMFY3ienux8MAN6R+ZBtwcdSm/ASM9xNuTEL74VUb0lqD1ijDwO3vZ6RQxnXjxFQHZkMTq2IBI4U8ObufXT3jhNpBa5v+dBeN7Rkaslm8sExCgf38FibK38XPjmHggaGw1rRS19LKRA+Uim2goXVsJ7GGkHyik1xyFbghVFKUFjrBGSmN8OjAo7UlZH0Y9cbww1YsQ9Gd6ybn5Ai1C2yhvlyiqM4k7weM5GMYxAjrF0mNrRQtQCkGswe+WOU5AUN7s2QHsvj7fRoSMUpedNyRXBLnBw+QTK7EqK+n1FXH1HAJzw2wLIPebfODpGKThe6Pkn1V0Wey0ttoFz1GemoDguxIib3P7qfrglUMvvIsOlvVO9DchZNoAmDXrl1ccMEFNePsXq1nh57heTvqedw+piDXzmltJd7Wvg9WXcJwzmaq5HF6RwbTUPSOFfmve/cSS5j85jvOIJM8cFqya/vse2G0pgDKSHmU/fGdMJ6HDLBKQ3/0/3jheWcx1tFN78OlqDfPd7ESsM5ZiYFBbNRgy81P0vm603AbfbIDEwRTs+8fFTfQbvRYyiyQswvkiE6cHQbIj2mUV8InJERj+QbNQRILA1TIYLIHV/k0kITEBEV7krrxTvL3P4Ldvo7Tyg8BsCb7DJtjZ7FlJMBQkKqPs/HCdkzLYPdwDrW3iAo1KTPEUCaZtIvfkMYuRxdCJweLpM5Y4Bwg1Yyz5r/h7h2GprV4bkgp59aUNQ/yLkHejapAKQMr30GdLmP5ZcYK83sj+vr62L17N3bBYezF/Vi2S71VRte3Mjq6gxVuFvepKfw3vImBXVn80Gd8ahuFvi1gT7Kvv4WVrSU8L0YYKjLpShBhWnDhB2BsB/bA3fh+Gp/otTdNn7SRxbT6UBvWcBj1DmZIIHEKCUOPICigLAM9PYYh1FE6UVAGQkId4oY+2ohjhwGG8okZFlr7hGGAYVSf0Lv4QZHAdfH8cXwSWMQxwxie69UMt1CGAYZRKRenMbDAKIGy0SpB6JuYsbpokHblSnEYakyik5MwDGdyIauDhoVKuE4Ppp4rFovxxS9+kRtuuIHPfvaz/Nu//Vv0GizS81AdYLyaCiHHS1Ap/eqGZcrBOCUd4869d/J7F/4e5cBB2SGWkcZUMeLpNEZsNdmhfYTap+CUiVUCiSAIcd0gGoyoFZlJcBMWnfFWTEPh6noK8Q60UgTJFPVhkSFnO7Z2QbnErTzNdhODjJP18hBLgYZwbBSCFASKbN9e8hM2g3umosf0Qnq2jWKbDhNFF6UUSaOBtcnLAKif3IFC0UySvYUpWuviPGeP8IIzxq/pgKap/bMvRLpSVSbdAmsuh+7Hovt7Hoh6Ly66ERaZjCeYcuYFEbGuOhLrGyg+PYQf5qHOZCxVoG6vheV7xPzoS7O7ZLO+t4N43sIFMDLoOgtVjK6EBlpjKkUhH9KUasbJR9VGXjv0n+RbXsOWTFSmr2d89vHzto9vrKIjk8aiyFh5jMHsNjbOCSSm39MzxQJ8H3vHDszGpiWXUZxrpCfHWG+BwA/p3NhAXatJLBarCbhLpRJa7ycIfdAK122gXDyLWL2Pl03Q3DKKUlHbPCOBabaTjmVw/Slips+7k6dHQQRAvA5/rEx5yxhh/gI69dPkmALLw9EBzb7GmnDRCuz2DA2pGEbawouH9PX3AWCkLZpWdRBP1ZNY1zDTznR6Nm/aiJv0OXlCAkwdYmmDjoyNbuyl6Kbw8PAx8Ef2kGlzyReKsPcFtO8y8HzAxg2raj4Xl8IeHmbrzd9Ca82ZH/gg3rPPMpKbQgeN2Cnw/TJNQR31sQ62qwFyboEUikSYAQW5phh+Yxf2cJ6E4xB4LgQeoV3EUB5BWz1WwiIMLErxNVCARFAgXixhNDdT7wyTS6xAeXrmY7rkBjWfc0EYcN/++3D6NHVbEpQ7oZxxMQODss6RLXusXJMkN5QDAmKJF0ia42igqX0zg+OvBdZAwUdNuVHPS+UjdMP6Ri7tbKD/xXGe7pvEX1fHVMmj7AaLpovtfX6E7GgZf2ICx06RjU2im8YhtxYVxjDdDIGbRyUSJLIW5bjJRH8Rw1Q4c8bQNHam2VwuoptiUduAqdEyQaijSdW0ruTgKsLQZ3DfI7z8Yh79eBNOcc4EkeUCbiZ6b2WzWZ555hlaW1tRSrFu3bpXdUFqwp7gucocLForwpEN+H7A7nIdE107MAs2P3i6l1BrLt/QwlUbWrjj3r3oUZsAeH7LKK+/ZOUBH6N36wTZqpRN3/LYn9mGbi/PDjxeUUbFNdevfBsbz+pixO6gd+NP0C8ClqajrgnDiT5DvdBjcN8OhvbvRZ/VNDMHyor6duKNKQbVGG7WgVwAxuwcKMpQ6FDjey56emJc08IPfCa0S7tK4RLg1SUwEnGyWYe0labU3E2ybyW62Eaqfzu6vURYSbszJ/OU6+uoi5uU8i4vPtSHZSj2jUdBhNIhKUuzpjNLZ3uZidPb2PtC9PfNjdmsnK3yXMOuPxc6ZlOf8hM2qfoYGjBNA2+wUtlMKYinifk5UrkuVo5PMF5Xe+GhXC6ze/dutIbxHYMExRIZ26KcDGhZbzIwHqMZg+T4KPvufpLxsJP9ozuI2ztorIu+G3RpnD4jydhwJ1rDhlWTtDeX4My3M2G28tP9LWxwFL4fwyekLmESiznUJXO0xx9nf3YjMb30rJO5JJA4yY1+/RszvwehjdbRSYwO9MyJvjJmUyNDQqLCoBYoKOMTUwZKKTQGvlbEjBiWYRGEDmHg4PvezJdRGFpYWDPjIKYp08SYPkHQGu17YLrMzKRtxOn65J8QeJpwzs6e5+H7Pul0GtM05wUSh+JXf/VXueKKK7jzzjt54oknuOqqq2o3qJSNZc4VpSAIjuhVpmMh1KBCja+d6KqfNfu6FXwbHI2p4gRde8iv7CEdXEwi2065PEjJtWm59ipKL0+id43g1SeJO3mUoTBtTeMjWdzeH9DWNUHM8wmnZ8aOJaHnScKEPfP+mkhMkpxsJFSgq9KJmpKNZJM2umji5cfo2TGIXRhnvPcl4qlGyv5ZOG0+YahJ6qrgUIekvegKY1rH8EPNWMFlRWOSQIc854zw5oHnZ7evqypPueLCaOzE9HssNxANSmtc+OS6+koagJmJkTqnBWUZpC/pYHIgxDU0fk/ASNHGKI+ywgyxKidjPXmftbn17EmOEJgZwlUpVM7DGLLxKqWOi5MOTXXt2F7fzONscHew2z8fx5rNyY97IfVFn1xdK82dZ1LORV94e4fuoSOzjnR6PYYRJ3QDis8Oob2QxNokbu8A9itPQeCCoWi64QZiHR2Lv3EWUMw6dL80Owney0/tQrVmsSyLyy67jFQquspWKBSAAkWvABpK5TaMsBHXbgR3GNPpIGFGxymEpwMNNCab0eUsK5Mp2szZq3U6lqb04jBFby9WooG6FRdDz/1g+AQqwFIhSmvCQLN3spfBYkB9WwPui30zBRcsy2LF2WsXvbgAUdC13eqnEVCEdDX66NZ9tAYJbO3hByFKKZz8CLGRB9Hlqs+nwKWUzZJpPrRc9e23/wfjE9Hr8Njff4lYXOF60Uzwg0mX0NQkQ492q5E6EljE0IGDtgx8A0w/xEtYTK5ZTePuPbhBCG6B0C0SnNaC9mOYRjQFZXNDDIZHMbRP3DSoT8XIOwGnN5tccMFKbuuJ3keuH+L44cycEr35XiYK46QedFmT99kwtprHLuvBCA18bCbLRbpOL0MuT2xkN8qspOUBSoW0NuzBz11GJp5kI3FGcjaOH9JSF+dcI874jiwq1KS1Ij/uoDuSDOVsNrTNr77muwHZsUpBg1wOnZjEb92KWZ9BZwuo/a9hevCHLtuYiThozfhAAc8Oov/3qf3EEgZtr3kNYXuC8gs5VJ2JNV4iVDGCosXgaJHxvjzO4BZGuzfT0Zpj1E4z7FjYXkiYH8ZKJ/CMVFR5R8VBK/x4PaHWGEph2zb9lTEc2WyWCy+88LC/O54dehYCBw2EvsF42EAsmCIW+Lw8NUnz/r2EOjr2M08NELw8BSMlGu0BQmUxsDMNBwkkCpNzKmit3g9BqaZ6kVKw8bSVnL4hOlZXXRdnrd/AtsknUdpmQ7YDV/mUNGAVwUtT8B0K+7Kk0ikam9vYsHY9ucwEPZt7GSuWaetcD16lipgBRn2MMO8SBj7aTROWW4itcnC7m6BtFx4h+cCmZFhYyQRmIoMfbyLlW/glj/hYnFSQgb4kheao29MqlnGSAem4ya7hPONjQ9Q5fYTJVkispLW0l/XrpljR7kEiQ0PVbPGFSZswCGuKkUwr52uzGAZ3ZxnYPUXghSRSFqmeLHWmS7IuhmGmcVwbz1W05orsL/uMDBZoaU1hxU0mJyejnu+8g1co0WaH1PkGY6l2SgWHcqKDrQFscB2Gn91G+ew4bnkKt2QSNy2SCR8F7BlKMX2pZF9/M83nvQar63xe2D7M2LjJZMN/xwxtkoXNJAxFMg5xIwqmGNpCzJBAQiyBYSTQoSLUXhQYVKKH2fP2KHdOY0V5zEqjLUWgAyws/NBBo3C1h1JptPbwA7+mzpNh+FH1p8oJvtImGoVpWlV13heoDqU9fM8mlkpge7PrKsMq0Fpj2zbpdHpmjojo8Q59mM8Xv/hFrrvuOv7iL/6C++67r3al6xIGAUprVNWH/4kZSGiYqU6jIBb9ob3QoxCUUU5ILGEQNoyjrBU46W3UdV6IO17Abayn8eLLGcnsJjBMQi+gq1BivJxHaWgtdjI+btA5OkVqRfS6mNogppMkJ3ejW11UEBAaCpUoUjDriYeN1PtNpKx2skyQttJ4DSHFYoAOQ/Zu2wa5SXy3jO+WmZzYT2ANsNJS1Dtl1IpXYP1rSPo5jEpAXFcZ1xFojReExE2DoaAEdtV4hnTr7O/JBjjtTbD7F7PLnBxw8EAi1hoj1TFCWAoZLjyORhOEe8kN7yEsFCiVCqQci3LCJJHyiPtJQjeNqZJsCE6jQ9URG7LZ35UkMBVeGJLEYKy/wORkMyPdK4nV7ceKeWQSFu2lnfQ1XAJAyg5YN2RjhJrWrMeGC97CS/knUDpksjzC4PCdZNLr6Op6L86eMYqPP4f2PIqPVv65VRNGvIAyfcqbtxF726EFEqP7a1M9Bid6aI7XkczA4OAgGzdGlbIKhQIlfwIncDGMGGGQoD5Wh/I1lqPITJ7LZNPT5BJd2MGlUdOUQSbWSNpwaq+I23GmvAcoqG0oTDpS78ZMNrKv/inSriLptzIcjmDnXVK+RVsijW8WyU0W2JfdR12sjve+8b0HDSJ+0fMgz8ZfIdMRY30BXpMYJ7Q9wnJIHAO0ItQaOwxIegPA7KSGplIUJsYPGki4dplyLovnOOx58H5ye/cAUXWpkdIouqhJqAxmk0mYjEE8ju2E9AeTWIZFMh4n8AJKySSeX8bSFgU/z3AQo6G5npbJPMHgyxgd9fjt9biDLkpFV8LTSQs/bRI40f+H6QbRzOBxH98JaKmLM1GMToxytkcyZuKHPnuze0nty+EWootDxlQfrx1qYnp4/7g/wZ5slrrW7ZT9Pury7YAiVIXoJDSex6p3OKe9A0Mp6lJlAuNltMozPngZKohOSjNJi0LBQ3fAYLa8YCCRHSkSFAoYqRTBVBbqowG6KpnEyJiY/jD0RuXkLK9EqBtITDlRwoxSkBvAKuzngpVDmI0NPN3jcfbIk6RLY4wVVqNRDKvz2L1lnNjQDrq3PUYQFinrAvlYgOOmCEIARcwpYgQedYFPIvQpNTVhJzJ0re5gpH9/Tbvz+Ty7du1i3bp17Nmzh0wmw/r16xft3R4qDjFhT3BG8xnYvs2e7B4Ct8xIziZ0koCBoWIYYcDOvMMV+QHWT/SSdKboHr2ILQmPBnuATKWamyo3LPg406IKirPfp62vifHc1MLz4rSna2dov3bNtYQ7hokFLVgFl8ZknIHGh5mM7afO24DuP5ewHBJYJikU6de28cqdD1KfTBBqTUMa6uvqGRrNopIW6DhGnSbI+YTF1Xilejx3LcoeQuVXYGeGKYZlyp6Ln9OgAwrxUc5ZcxFmLIMeVxC4WH4GlR8nrE9hlF1sPyBb8hiZHCWYfIHAV6jcBOmWkGSQZUWrAxjQuJp4yiKZiapIhoEmN25T15iIqk5WKRdqe7iqX0Mn66B6R7DtMs3pEoNegTqrBc+LkZgKiPeXeSU/QFN9gtMu7mB8NArA84M5moM0mdBFWSGdDc30FfOEVowxAgqWpnlyksLQy0yfP5UL9UzmfUylsYCGugSsfC2EPvvLnWzQml1bxzH7SoTaI9QBdryVzqRNoiVNvDgFQFtxF0rNufp7CE6sMyPxqigUykigiKGVTxDWXonQlW0s3yJQlbeqNgkJ8Ss9B4roH9j18kwHHvPpmTelMhSGimEaISgT39dRmTI1m3oxnSvsOTksmjAMNTswajqSIDqZLxaLMz0SSqnDKrd31VVX8Z73vIcf//jH3H777dx4440z61JKESiF77pob/bDwnMcEokEge8TBj5mLH5YQcyxFGqNKgZooopKZKIPu6JbJB/Y4GqslIlSIcqyMGMWShskzzmHMBajLllPQ7yBcT+kLlZHXSaF6flYKklr4hxcO47hddG5dyul+iYu8M+gnIN4W9RbYBoGYRBgxfMoVrCKc+gMGzEybTTmm2k8ZxUZP8fOn78IrsHUyF7SYVUFKR1AEZrLeSwVI15+GadzA83hEK9Z1UjPeJGyPZv/W0x2EfdGKIYegQ4xp+c+SVf1SACsuQzKE9C/ObrvLDxAUmuNXzVZXpJnULu2Mu70MoWGMCDGCFMlB11OUCpl8IGcNYTZOE5r8lw6966AuEIFIclYnFjJpnVXP0NGjlLmNOoTbRTzLgMjBqpokAzaaWkdIBUzWVXYRV/9xViBZm0liACwAk362ZDm+tNxdDTgcrI0galMCoXtuM9Pop05+e5aETpR70bppUlSFxWIdS4ttz8IQsb7Z1MQXD+6cjU5VMQwDZobs1CpuJvL5Sh7U1B2UYGmPt5BjBhW0aFdp2m0Gxjrv5zJ+tfQvDKGUjnQKXwjgaaMh01MJ9GGwhkqUFDbouYTUKabeCyJHStSqh/CK7fSh4mRNkk1xFhZmR19z8gegjAgR46smaWNNvoL/eya3MXZLWfTVTcbCLwy9grPD78MCgoxj4mmEZQewRsHV5nElIGhLALtESqDmOqjOpBQCgoT43DaIjkQgGfbvHjvXbilIs7u3dGJcEXRK858hsYy7ZRSMYhbOLGAUtynpaQwlCLUAalUClVXRynnYGFih5NMGHF2plq4IBMn7MyQTyTozcUomDkGdZz1xOlstlmzeogdPW3RlW3bw6yLg1fCLfs0pKzZQKLso41hfrL3J7iBS8OOCRzdTuCNE2qXxh1ZxjpXEybSDLg9mMUyzf4wWR3QqBLYpTNoSewlCAbwU3HS6VEMtZZQ9eNZ9zN9AuSqh4kH70GRIpOwoFJtp2YsBhAUCoTFIgM/fgJ7yMFIJGg0psimRwkNAys0MUsBqnkEPbgW5SeJ6zKuZxPPRwXC3KYkTHbT1VnANDXsvAerN0tT2QHToC4ZULRNUu4kg/syqD3P4XguyXSZnJkhCDUan+nTpSCIYZoWDbE0bn6ShuwAif6ncde+gebGBiaztUUZRkZGKJVK5HI5xsbGiMViNDU1zatGmHWy3LH7DsIwZKw8hmVY0aRk5TLJwMIL4jiYBCpODJtCOUau/366Ci7lUj3tpV2McvpMEAHA1OgB03IDL5yZwwlT87T9KNPJbmsb1tIQb+CVsVcwlcnpTafX7GsZFp1BCzofEFLC7dpJKlUmVwzIWwOE7Qn8ybWUSgWy4Qij/d2EjovX20s6mSRMgxcbpt5wyI7n8QfPwmjoh7CVwM4w6ZawJsfRfpaWUjNTxgA502RwciWGCTHTpbl+kMHJIXLJGOX4GhpxiKs0sX07KW1Yhem7TI7uod8r4zCMTgQESpPw4sQL3SSaTNIJFZXTPeuXAKhvTc0U+9j5VFRiuKE9xfrz20hmou+buT0SM7TGLDiEtg0ohsoJCtrGdHIYiQyUNQ2jJcoxi8TEGK8MjdLnD2KFBcoD4zTTDDrErEuQMC1WxOsYpIhnpnB1QMwIKeYnUYnovdgRr2O/ncPXEBAQ1HdimnG0EWNk1yimCeGITRi6OE4PWutoYHmygWSjJuPujgo2+PMLiRwKCSROcu2f+Pii64KiixdMoIkGRvvaj3LW3QSmYeAbGtdy0YkQQzsYes6EJX4Y9S5ohWWYBDpAG0BooLSBIhoMnfBTGEE0qC60kjhlH0wbI+ZiGlG5V40m8Et4DigrxUw3taami3XuoOrDOZlXSvG5z32Ou+66i5tuuon3v//9VY+hMKYLmVYFSUG5jJ9KYRfyaB1ixROkMq+u9vJSBIGNHxQwjSSWdWiDOn1fQzkg0H4Ui9VHf79/3/7v4JWo9zRmg4FCY1gxlGFC3MHwDQLl8eK9d7GmoKnLrKEp2Uy6eYxzApd9dtdMcJc062nOejQmm1DKIPQdzGSUH9psJJlUJcKwjEGArRUTpQLNToZEWwtnrL+IUT3KrqefRY8mKJcmSSWasfExMPBDD2wF0VsMIyhxsRrhkhVTZEoW565sID1mUhmnR9Zsodly8ctTjAU2nVY00G3BEomJqit19sIfomHRm6k0YsQN1NRW3Mk8I+Mvo9PtEPo45Sl8YoR2E5RtnLiFyjcTFJPkYyXaswUMpQjiFqYBRv8eWkOHwcwUA5Oj1GfeyHDeYMRJ0mEksW3wvDiJmEmdztPgDFCXb8WcMxLODTRrCpcyqKMUCrucxalPMDx2L5nBdQd8X2jPI/fzJ2n59WtRloU/OUn+nnsw0mnqr78eY84V/ImB4sxATK1DRrL9s69REDI+MoXWmqmpKXK5HH5pCu364AYkR7K01rWyKrmaztR+nCBP82Q9cQ+aygbFKQejsRFfTQFQIs+UPYCrNb7/7drnrMaIxRrRRggxB6dQAuoJNJQqr4/WemaMlVVvMVQcYl3DOu7edzdO4LA/t58bz70xmpHcK/L4wOM4lRzuVsvldbExcr2DBF4GK9aIoRQxTAI8tFIYyWFMXxNoRXNddMV/pHsPbWvW0dS1ovZ1DgLsLVvofuoJcn3dhMXasTZ1iSQFPQGVcxKzuQPfMkEZePgEcYtcOUerFcMzHPwz0yRGyiST4AYJDF/hmx6Op+jNtKLi0F+wCLTCqvNp6ohhhgN0dihckqxxTEquSbr4CqMNl2LkBnGzq6hf2YjSAVqZ5G2PfdnnSL+4h649I0xN1kHoowMXyzKI+5rW/bsZ3XguLj6xYALP84hb9YR+PZnBehK4uK0OKgywzushnr8AP/E0bV0NlLJuJR/fJTBfwAquiipfuSGEmpztz/wdi088QWnz84SBJjvRApiEjkN92yROaoICTRi2hxW3CI0Qv6OX+MDpGMkpgmIBkmdg/f/Z+89YW7P8vBP7rfDGnfc++Zybb93K1TkHZpEiFSgKkiwMZuAZCLZm7JFsaTCCYIAejiBZ+jKAIc9wPBjDloWxZFqBomCZQWyqm92tjtVd4d6qujmcfM7O4Y1rLX94901V1a0mCUltS3+g6ty995vDWv/0PI8nyZsGJR3r3SWgtzSYt/YIj8a49SZbFy9y4wA8kzDoHxFOhyhZkmmPMu7ilzMQEulihJAIqZFC0dKa0+kQYzTeyS3uv9FgrV1j+7mXqbfbHBwcMJlMsNYyGo8eURDfuFGx7zz//PNsbDwOSm8Pb7F9u0mQau7MrkO3oqy21vCCW8XZNa572zgxADPBpiH3kiMu0iFNawhnWZtdf2rCzEtHtigJa+8PuC4ywzAdcn/6gNxLEFsV05UnPT63/TlqXo31eJ1u2KUVtJ5a1zmHOU5RxmHDCWXtmDhQbHpd7g3mFM07TEc+MqtT70vufOdb5HfvYkbVu+6CAYPBdWpBxDm5wS3rY0cVvekiT1iPAoJ2kweLBXlhGB2vcLeZYaXAUxDrGCKPLE3I8j0Oyx5tP+EMinriMX9zjGvd4ijMsUrgq4TAzchtSJRXRCTR2loltvvczz4S+Ott1Ti59/ScMDlJeP13HtDeiAkij/m7Wl4BglCz5SzTg4SHqakSA9IjnQ/wnMKmKWvjGbPDhLRWIxeWrAOL0agCqjtJnRFl/SwAde3TsSWnfo6xkr5foOYZHTvFX12j5QsCvUY6O8Ipn6GSnKsJTr/+JnaRcGevRyFaWDvHOUswHVGTFlSHRu88zZlmuPjB1ba/l/37QOLfYRNSIoyPdQtKa8BpsNWAI5B4FkSmKaWh1AFW+iibIVgO9tYhnUSWdfyGo6CsnL9SVs4fgKQKIgAcyCLFVwKjDNLXYEA85GcQAkRZ4Se0j5Ye1pU8HUpUppR6D8j6BzWtNZcvX+bP/bk/xy//8i/zt//2334qaHhS8PGhOWuZDgZVnz8V3iSMaxWI/F+jlWWVvTRmjpThY5zJD2DTYVr1kDtD6ZUI/3EQJvISZyttCSEsctm2pWslqoiwniWdTfFQrNcq5eRaO0Zlq6zSYrpkg1JCsqHOEk5qjJsFSi6QOkMjiWRAJEseFCmRnlPmMSUFs/1jNjJHNNb0zqwj1kNcUmASy8imZHmKUAqiCDcZAnqZUXNMXv8WZfsY9/wGQgjanR7MoJQBk1JDbxuSEQdmXgUS3YvwfkDYJwV4svcPJPIn2nlUXSAmMLh3Fxe7SnSoWDAXmsxK5oMQMVtUgMFWC3/uYQnYn3yHum4gGhHR6JC8zJFO4DElqUfc3H2DmbuESE45cE1k41ly0+Kz+jaekmyOb6LmjydwIwXKOvLSslG/wkH/IyCGlN4t0vQEGy3wqePxOFASsqT26Y+S3jykPKwybMWDE/r/4/+F2ic/QfL665hlFnXx9a9T/5EfebSuc67il1/+e6aOWLyrgrNYpHzta18jTVOcM7giQQpo2ibNbBsvt/hrI/zAkWeWRt2R1H3CwGM2zDGijos183lAZkc4IysaxQBsWTKfTZiYBM+fENc/U40tKqMwGVI0scYhG6uE25f51rd+l9xYfC3RDc20mHI4P8QOR7T2BszP9BhnY9phm6unV7F5Tnz7mA8eDdnZSPHGe6SmQIkcPd5C4KOmZ5FnXkOqEqscL3RzhpM2a82QWT7jwXSXW//0Np/52M9y4QMfflRlnf72b9N/41V2D/ef0s6Ig5ALG9skTY/BOweoVJA0a6w0zpCTQ6IYlkOEcGRxCG2PcX1BbadPw95ku1nnwcEWLo3RZMxFziTzGWaS1FTjURn20Cs7zPImX0kMohVxuXGXjSKhnI7I9keEZ3sk17/K5uRtyknJfu9nmaQd5t/9Du23KjGwwnhgK4yVlhXDUVAYGoM+x80mqjghM5ZY9xCzBo3jPWQQQ7tAZyULbrHzwVMm42p8iRo+49OkIviQN5H2GXzdrSrdqWHqpyTJHtNv3efWb+5Rd2eraydSEAYlLKl/l3G2j2sp5k7TjiJiFVHoYzyVMG1dI8tqyKOUIPsIpGO6zTnprQOEFCyaEfqoGlf9YUZLTJCii28WqMUYh0PrnLSxwnz1BYLkHmue5PCkhipnIAUdEdJt1BkPj0lyQ2BTcmNxpmR65waXfvrnUEpx7do1DueH7M52aQftp7L6+/v7TwUS6cGUeFYFp5sPWtxsnIDJEE6yRsxIdIlVhxxNkd3BZSH3zYRztkOWxTRNTNPGuLBkz4yqjRYp83H2PQOJ0/GAW+PbVVUsfjw/fHzz448Ch2e776+3ky3myBRcXmDXDpG68gu08mCljp1kePEMM62T7B+wm9ylPjN4S3bHcnwf0YW0yPHV4ySZdY6yzGleOgdao+IYW29wmE6xixxw1OIZ6XCHMmgytRmltXj2mDKIOHQpL7kV0qllsTjEeS2EloTlFCEcSpZIDNZAMxpC+4VKy2dpzZWICx9c5cG1wSOq4Ic2OnycDBClxS8slz6/jQg1ep6TXhvQ8HNGZkFWLJiIBX7cYVgMaJYV5a0mZzi/TWJibGsVM6rm0sh5aAxnG7vcr1165IK0vZBhZCoR3qzAI0dkCWfLQ5799Bl88Slee/U7KF+xa/ukX3uVlbzFHIU8OkS1PHJVEKRzmsohhcSbDLnU/giLQYPhov++9/f3Yv8+kPh32aRAuYjcJuA8cAFWVEwyj0qhTqALiRMOoy1KN/DcAmsMFod0HlpE6EIgvIxCgHCPXz5bpFjnIZ8Qs1PC4ZRB6LBigrI+5UOgjygrQSMLytNVf3DNW7LBPKGJ8PvEKzhrcfM5EfBf/9Iv8ff+3t/jr//1v458ovSrqFq83LviF1su8SBaYawlzzOU1kgpf8+sLT/48VbMS0iB04Z3v7LOWJDifUvXs0F1TS0lRfwu0PDC4JzA80UVUC7X1w2HOlUUPK4+qbnGjSUhn0CvpITJgLkTEIaQpTT0SlVRKhL83gAhIA5qeN0OZjhBI/F1gqECsmXC0hgkzP/xF7Bbc3QvIqvPSY2PTRdIk9PyGowyULpBWVSMJQ5Bls05uDsiaoaEL75M/OwfpT5y3HRDytzSt3V63Yv0VQ0u/DRsvPL+FzZ8oiLxrkDCTHKSq6eYJ/pgvU6BOS0YyyMKIRlYh1URcwsWSTJpVkrWSLxZhsBD+ZJZBLackGZ9pGoQ+hWbSGQkiTCM8wHO18hkH7EwWAEjbwsp7uCcY3V8ykiVOCTnejNuFNcY62eJfDgjJRu3Nek8JF8NyVpD5CKl8Lp4aROERegM3Sqpfe4SwZV1Bv/PGYtR9U7W0iGz3/3yU+eevP4G4SuvoDuVMNe0n7JYtnfN8zG0M5SWj5TroapKpGn1rBXpEGstkVEERQ2JAiHIkxlHkyloSelXToOnFN24zclogDMlB6lDi5y8MEROUpN1JvMxM5sgnMAIh1kdw6gq4wtbopWgJES3N/javRl94UiSgu2dGsKD5Nvf4Xj8Jtu33gCg8+Yuv/XGL7Hzwc/wVjhg65+/yfx0RLA9QvQLhMtxRuMOWvjyGRCCc62YN90hgdjDIVh4r/Opn/4vufH6d3n73js4LBTwxmu/S1Svs9ruMfvilzi+fZU3Dt9mtshZCVeo+TEXNrZZ/YmfJH7lFb6892WOtifo4YJndz7B+f45jq+/SSkd2gswS+ILvdFGthLq5XX8SBGYmJ2VjHzWRo+mTGTBosgZZHXmXpeF7uCyEbdu/jMiT6JsD1M2kO0WLw4dihKbZexOhxz7JbP8HgNStsa/wf74HMmNe8RJUV3bsoaVlqzRI6aPGc8JraOcjLGyhixGCNfCkyH+ADAlKqnhjEDJBTYZ8p07/whz5x2ElLz0yf+Cev0us+ltwFGqb6DdTyOEQIwKwvjLPNid0b9zHbHRYWF9gqMPU7cRIzlnJV4w4gjre3h+iEguMU2OCBqGol4gLi7QtyUyN+Ttd9DHFxA1QTS+w2K3CqIfipbNvR7R+hWiw7sEuofJE8SsWkbqgtbaBhPt0RcXmW08S/fu14nSgjgIaXVChNek1V5ncXQPaQz58p3IFjMmJ0esrm8ShiEHxwc45ximQ+bFnJpXYUDG4zEnixO+ffRttuvbLPqPxyH1sLe4zFglQiLIRJ2LSiFnIfu2yyAfsjCOg1kNbTQrsonvCSQefTcnpUDZjOP9Ob2t969m/8v7X388ry4xdFJInu8+/77LP2mL8QiZCAo9wTUGCFnN+41sE86fgPDwpxmLqWOeJbjjY0qleOnyDrIMOdAPgIodrPbxH8e/X2IODihNSdCqI7WknB+RZ1PSMiFX1RgjvJQtU+fevE4axyg9r4jjwwHC97GbA+4db1MkgsDLkGWJpw0SRcWEW6L9HF8USOFg9bn3nNvqmQbdrRpFakhnBde/efRUshHniE4W1AIFt0bEn9oi3a8qXnY+x9kR1klGaoA/OcHnLnu+T6agXYSkMqCIUupyBq6GQNAmZmenxGutQ78E3QYvRudTWrU1TrP7uELjU43HrfEYceZjXPa7zI9i3jmdMD/o4yYjhmpIWkpUIdG7J7h6im8GqLBOXbf4cF3D177Oyks77B4tA4k/AP/rvw8k/h02gyEtMxyPmQpybQmFgiUeWiKxpUNqgQFquobAJysHCDTSxghjcQuH0gFhM2K+yFBqVvFzW0cuEkJRe5yVEw48RVkUGOMQLsThKuddWrSxYEWF6VjiIJRST4Gsvx824nv1hNrcYKYJtlyAMLRqMX/lr/wl/upf/cVHywilUJ0OYZZhxNPVBoerxpKyBK2ZTiYIBL5W1Fpt5LuO6d0UnO/+rdLgMEsNjve+is65xyI+1oH/rvaWvRnp2wNUK0A+18FZiBpV2fXw9oSjB5PlqoYyzAH/4YaRi2oyVR5VS9PSZC3lXPdziEsBd197lXQ2ZTg+JQnuMJJn6AXnqF9poIMtcm3B7jP+zpTEVuxFzfoA6UnaZ7aob5xl8vo+ihLlPwxkli0o2sdZhRgmNOdD9kwMQUkzLUEZIs8xmmUgJEKFOFtSlJClc4YyIH0wIPzRZwlqbXa2fgEz3iN3c64ffYO1ZovN81dg+8PvuaaPLGg8ht+8K8OeXh88HUSsRujokAene+zFgkKEOF2BYtMsY9rvgZVEsxmF71MqHyE9yjLFao8iLCkKATYhlDFSKjzns5jMyeoCmT/AiwNYGMT8iHjtIiZapR0n5H1F4GbsqCGtcpdB8oDe0Ztk0y3yrTa1eM7NyTXkuCBq9NFunTwYEE/Po+IhMnDUf+THkFJS1gPuxx3cfEw4N5jBFp3uIUKVT53//PWrqFc+Sq0VMFxm4KyzJKJPrDTNlYhsKPGUx3gxwJaPn8t01keUJY25j8p9VJEhRInIHUVpmc1yTMdBWRAYQaveZX+wi1+TCCnJypLSWgocg32Js6u49hFKJwhdosSbBHJORsTcZBgxwRMtcI6SnL3gPrrI+PjtUxpfGQEw0U/zttd2Bwx3/ymNMx18/wAujTFFBWDFSLy7XS5vnyV+6fNkkylhb4Xj+xlD80+QqiCf9bl29+9w2szx2pCPqnFinI95cO1N9HAGkyl7012StKCMA44b8LlnP8T2T/40erUCre5Od8l6DWpunQv9HdIyx5QW6ytCP8ZoXYFhL+R4TqOShEZthQYBZWw4G3yYu4OrHIuIolyQCM0oPIMbH7He+1ol8IdAyQcsBi9yMJesNWqsB3UW2YzJqMCuhjROBW6esr96k7d3f4uXD8aU1uKLGGpbZO6Q2toN6muHZCOPya1zxPOMi9Eqq945RrmE3DCeTZnUJBJBJ2kh9SkqiUiG1wnGlZP1xq/8fVZ/6s/iJncQwuHEKaX+DWrROebDLmHnLskxmEIgg2lV3bnQx5+8xGZeo17AIPARnR2EkWBaFFmLm40vkroUMZK8eO486toRTifMN38Vb3KJwa07REpQ15K8tCy8DsPoLCuRjxvlxMERw0yjimrMVMrSXl3nZKoonCJIE5rzPh00LErMYkA6EoSNiLDWQ6uM9Ilk2Ww4oLO5zfnL5/ndu0uhsDJjmvQfBRIAX7z9RY7LY26Pb7O1aNHgcZXdyxVFmbFil89vUWe9tIwcnLFrTMQEOe9wPGtw0Yb43U069TleICkfjJgsGpzoEQe3+6xt1d4TTMzyGSfjAY/0oZaBxMXWRXzlv2cedc7x9j/4+wzu3EaurUFQI84d2dY1lHRMbEma1thpvURQ+wZJfYTuWrKjEt8InIR4q+RedAchLHVVUBoQtRp7hzOKwYSJFgTNDtPhO3zr9pdxZU7hapSiCTWB83MaXoZ5UEON9smxxH5CIHyo30JJH4RgvDPAheuo/g41k9LIJEqEYBJCJthijF9TlInPlBbv16SslETVJGHNY/uZ9lMCh7J0NCJNczXCLErKfoIZZyzyBcfDA6xLsWJC+3KL7MZbJAhSNQNRZxDmCOpkxQn1YE5R+sR5jc2NAvFsi7e/OWa6eJvm5mdRa1WQU88XDCZDTL7AMzl1V6DVKrOreySv/zqbzvHGbp9YVoHZIlsQ+h4zK6hlfQIJIvQwZsG2djS8Fex8jkp6FdnCNEOkxftchR/M/n0g8e+wzcwc9QQIwdMBvvYxWKyiqgws6VhFIQiQZOkU5fm4MkCWaomHsDgEJi/QA0ksfYz2sUs1bCcLjF8S1DewSYJ1BY4SY0pA4aQCp0CYJXVgUVUOcFUbg3PvCSSexEZUTnn1m+d5FMUQz+u8x4G3aYktFxiVgACTpfyn/+l/xH//y/8D9+5X1Jsi8JG+T+D7VSlxuc0oCklmMwxgncAV5ZLnUFIIMEXxVCBhypJ0NgUhiBqN91QsrM0xZv7E+Tzdf7pc6qlP7l1KzMm1KpOQHM64f3dCGSgavYj5KMMa+0jV2lJivSfXdciFRaAQvkGqxzznGUeMzG9wcfN/SX9vlclon7z9LbQsIRgzjD9ILzhP75UVHrz9P5Hm+4gz+6QPLiD9BBkuaF16hmijR3flUywOrhGcPmDuL6kblcSSMZGOgR2iUkPWLwnWaxhhQGQ4t2CW5UAX5xRCKKIihVixKCVjP+T+ccTRtYBznYKPnOsyfKsgWQLGjicZbx0d8/OXHcNFxYDk66eDwnygSO/uoIKMcGVMeXeETQy6Ez7F1CRjTfhcF/bf4o1kn8QZpHNkwx7WNRjLKZPhDl4gEW6Gn+UomUE9xDiDlBYlLEr6VYKx2aY2TymA2PrMqQK9jZbPdGHIswWbLZ+F3mG9eUThx7Rtn47KUIGBucPfPSINmzjX4rQUnJYxcnBMZ3WOE7sEdZDZDp0/9QvotTWEUhhj+MaXX+X+4Bqek5yrbSLTkCJp4dcfl7adg+vfHeMm+/S26+Rp9dwk2QwZVc9Te6XOc594nqvf+BKz4hhjHtNL1lRGmSdo0UCaCC+zGL+EssRgSd0CO54Q7r/K0Mtgq4UzjmyiCZsRJpsAlmz2DGZ+HuOXuHlI3HqbssgIbU7dH+F8xUAYSpeCKxF5yfXytyldxkvXHhA4A7p65xbluxSTZdV32VjcQrSmqLy6V8qVcNjmUz/yEsHHfpYiOodaUt5+cOuz/Pa1N5C9dxDGMjq9ib8R07msGXovk796xCSbkg0HHO8estpsM1rMSBohi602eB5rf/yPoOM2UIGsB+mA1cM6vX6N+lqdUVIxEVklibyI2ZJdb8YEbatgtxbXCfPqvDqqwVEYoUyC8GrYesRLmyFTfQsXzbBWYo0gtymFvsco9Tj2NLXaFmaW4y8C/DszJGdo5QdEc8NY3qvY1qyjiGtMdYofndDsnBAGGlFPaG7vktzrsDa6yXiuquljPEWWAkSVFFoULVbIKJMc9dBBMQp7OuP2F/8hYucSa0EfAUjzgFX7XerJCup4wumxIVqysQnPQ7Tu06x/gnpzhTwNyESEZwSuEDBRnDxTMEo3aeQ3EWnJbjDgbKuOOp6QW0Pqfoth6gOC8+deZL9ISWQdhCD2JA9yyfzkDbJgC6QkyEc0hinmwRGb5y4zmyga+3c50xMsBg67TIg1QsPweE7c7IDXQ/W2gIpoYj6s/rrIEaz75PcO0LKPb48J5DaZre7h3ukeXrs61yB92h1rjAPCky474yaFnlDPGvh+VT0WqsWmaZOOzjKhYIqhDCyLlTpSSO4GA2TeILIhRbZg960h3Y0aQj6eE/dme1A8MS56Fmsll5svM/viF5lfe5vx+Sts//hnqQUeg6tvsvva70CYwrUD6usvkMf7OJ1hpGPuR4jws+x3zuC518CBDkuIHWUeIGWEaGXV9XNQyBIZRujmCskkoxkFyDQjTfpM02Moc5CgzRzpClJXoCcF0dzHKzwgJx9qxMoCJ7Kl4rZGCK+imO8cotMatXkHSfV7JGpIuyDPDN26pHQeb3z1a5x5ccGZF17m/WyxuINqvc75j56h0/sASgnSO2OKO48rSPndCYvRjK/c+CppcowpTxDFEcNslTBc4LKSupjjqzqZ5xEQ4HmbzEa7rEhJwJSb9WdZvXWDilpiwmAxYV0JDjqaWweCdmeFtXMd5D3Dep5B3CZ5vaq0WlMSTCcUoUciDE5K5kqjRIIJLFYqpIBw5Zh8RZAvfPyiSToQnPE16bVblP//UJEQQuwA/zXwM0APOAB+Ffgl59zw+6z67u10gV8Efh7YBPrArwO/6Jzb/R7r/J73LYR4AfivgB8FmsA94O8Df9M5l7zfOj8M5pyjLEqyPCPLMrSRSCEJdYAwEvOEhoPyK+E6jcKVDqeqB80UOcJWDD84i0BQ2orByVqLEAYtJFZU7SiOal0nLKpex+UzyvnSsXWyyjqLEMcC6QROlBUnrbGgFM5VrUwPueGVUo8CCecsRTFkf78CgK6treBcgXNlNaAsz9nMcpx1GF3151aJcYFvLde+80WUCZDWQz0hVHWw93Cbq4ggRJUlpOkj994tRYussZSmxHvi+3Q2XdLcQpll+NHj7QJYmzzx7xRoYW2JEOqxiNi7GLGe+vzEPyuGCQGBYtpPnlyh2r4zCFuQHUp0SyN9R5H4KO3jvAKhIoSWYCtFz6w8YT65R73TIxGvIWQVpAkhGLivsf3ch6BbYtdn6GlItB1hT0uC+pyo2yaKa8TxBYJgHW9rE3U0oGVTTmPNol6yWkSMihwcCONAKuKjMRJHU6bELic3irmIgDpJo8dmnjFXgtLFLESboV5FffM+iavz8k9c4Ewn5h995w5vTSxOCvqLMV9454jXH0zwlODlnTafu7yClAJXWtIbYxwh5UIyux/B+HVonyHffcxOpBo+9U9ucvfuXe5++ypzN0cAmXVMJl0WhUdpOgReRHDmHNHpN0lMgc5ToIHfayCmA3zpYZwmufAiydmXeemL34Ky5AF9+ibFakVpM2otRScRRCQsyiYNKVmJ6pg8r+6vzJkdTmgmOeP8kJvjkNuFwYUNxvUQr5GTt2B1dZXo85/E23wM/r175w43r76KTVOEDRlFUzobz+Ba2wQbp+h2g/m//Bqz3GM+S4iA/t4M5VXv2SKfEbTU8n1Yo7BXceqb9HoZo1EMNOi0WowHCWHhgRAIE+KwzKf7RLrNyDthkBzQEiHSCaZuF7t3h9q588ztKoW4jqhpkuk2idjABTPsbIodZNh2l/pOnzzJQGk8mYEyaOHIWGDSASZPWTn1qI8LiprAf2J2yy4Jys2C8CjBL4ePXiAtPVI0WbsBBzGXnrlIsNqE1efxajW89QXF0YIgiPjEM3+Yb/UrmkQ9TmmMRjitaOoDFq7OQbbFPD/CTscsygWjMCd+cUHkhkzil/ntvd/hZy/+LIEKuDu5Szzz6J7G1P06Uiim6RQVHmGikNi/wCx7zO7k2yGe1DRbbcx42eaphnTbq5wuJiSUJNMh++F3aEdDDCClRQqLMYooGnM0mfDadMTu+JjIXwNbA+dYMTXG5izd4zt020OscZS5wYQSYWasrQ/xZYwvLSYoidpj0lGNcvga3mwdW2sjhwmS9qOxcTEPKVdC1CxFFpYsN5RTjVmUxHsDTld6yPYFaqOvo5IxEzSmeUi9qNhqkEstr2ZI2PPQySGSy8yCPuQCZyxiWCfNxvRPjklGPrPpOfwgZTCO2TwXUR4OEM4gNdDMoC64HewxKjsEniHrdtkrZkxLSAOfWj0j8iX+wZCwvcZsOic+OuHjvTO0bt1jqxMxVwuO+yWN2BHWYDSUqMMRplcnPbC4JQ/FbBlIDLMhnjjAa1e0sH2R8GGOuctmNV9my3YiI/AyhZt6xK5OczXEO+3TW4BalBjXZWFiZCjwlSRzIZ2iQTOriEmc9DjhkNNJNVZbpSiiAcFsi7uHA8Jai9Hxgs7G42rIk4HEdn2L7e0NvnA44Z/d2+PzV7/B4Tglu37I3d/5Ch/71Evce/MbsL2LkBbX7VOIU6yqZr1MGqT/eVTzfLX/WRM4AiUJuwoXrDL56DmCaeX4qrRgLkPiwOC51rL7AJpRSJ7MKs0bQHYV9tQgyVGDKiANXYhoXCDMbpIaSGxBEC2oUyN3BUZUTrOUknhtj/Rek4YRNJViojWYNtobQH+OW11HAPfffB3RrbG1fv4RKB5gMn2T09MvLOfSu9TLDp5/ATd+GqBcjjLujO6RjvoUNmOsU1StjnWCrFvDKwukzKk3NNoZilwQuiZZY4tRo4FrdJkND8CbEaUl06xgMn6LOLzMjVEL0fDoh5u8tGEIPUP3zt1H+x4tZtw+OSQxGXI6R8YRebNFGUT4UsN8ihAQ1hbEazNcPWakrrM6+BDZ7ilZ2aRT24D30cv4Qe2HIpAQQlwCvgqsAf8EeBv4OPAXgZ8RQnzGOfevRIQIIXrL7VwBvkDl2D8H/MfAzwkhPuWcu/0H3bcQ4hPL7XvAPwAeAD9OFcD8hBDiJ5xz74X1/1u2IjPk8wVpWVRAgKU55xBWVroDj54lhxdo0mlSZcKtxZWmYqxQ6iFpD8KBE1W//UOzDuSynV+gcJRYKSiKEZ7XosjTRxRzoCp0s9MIKatkobCVcJ6tAglrLNpThGFIWZZPgaytzXCu5Nd+7Z8B8IlPfGT5fcVj//D8sK7a5rtB1A+dbVmgdIRYqpA65/h//cqvAPCxj3yUIkur49MaZW1FCeiqdie5DCYeWpnnj4IIgCLPUb6PlOo9VZJH65RzjJmBUPhet2KSeLeq3xOfjTHcH+3TjduY0j0CfWelZZwUdOIqA+6cw7kcf1pQCEk5KtGAn1yGTojVV1HaqwIJB27Jh5329xFRjcJNEcuSlZCSLDrF9CakyZDxYsJ0PqV+vk09C7GBwmvV8HyPWnwJrZtI5WO31giKWzy38LgbSXobL1Lc6SOUws4nKBQGQ9suiJfYjJCSFXuMSUM2mmc4HzYYuCEjr2RhYKBTdhLL9NotbrRi1i8qtu5/i80bRxQa7PkV3tDHQEhhHK/eG1KUlp94fo18d1q1jGn/0YTF+EHF2tF4DH70tmpMJhPeuXaVbLCHwGEdlEXF4a/mDfxmF7V2jp3eM+TRt1ELD+FgPRpRbp3n+MShM0NSb2K2LrPei8nigHhiWaXJngDbbhHXFeN0iHGQzQeM5yusCbDFYxHHm/cPmeyPmBSO0sy4M5uSKQ/dXUGIhFnaoRmcMKsp0uDkCbg1vP3qq2SLOQiHJ0qmeeWkphlsfPhTZCpl8Lvf5XBSrwDTWYYIgkdsTWk5w7OQjSeElxqcHH6B6eldEJJ2fcLOzg51JeiXEzwCEBppQgqX0lAD7PgNcgN2lvHAf41WPaa2nH7svbtEgOyuIbyIcOMCB+UINZ1R1z7rkeJq3zARK/Qu3iWM6uQiQ+gUbaHWhJVwijraJrjbx/I8cXwIjBi+cIHJMz26+avgBItWhL45QeYVM5grFeOshznqoYoBnYsRrFzBRV3KzOCtxRRHVXtXq/cM5WGM58+WuQiBZwW+8VBqSDFKWIwXKL/J4ckhwSvzSsXbg+bagIPZPn/n6t9BS01apuyctqvtBi2OZ33G4pvo1XtILYmDfU5PLmHXHNImtNyAS51n0MrDxRozL1iIm5xd+zz9o0MOygl1fYgvjnEWfHzmzR46Hyz9A0U7P2AyWWWyVkfu7aFkgyRNmTmJLy+zKH3O3ZiQG0cz9NnYPsNpVuJrg1KKngyZBiWnaUHQnOECEMf3EWsGb+zQyid1AXMxx2QF07xJY55WVOBWkM89sqTAOsfq6zfJrz3g/Moaw5UBNa+kLGOUkNXcICQ2ChjJGeMkIbP/gpbcZ8Q9HA6bF6RCU9Y84pMmymTM8clSBQdwdRRyudajNIdIoRHnTigbddJGwkj1KPoetaZPETSZDZqMnEEIS00bhNIkzS2wHsXehIsHe7RqbaTMaLZrNNqOaT5FihFN3zFbgBrOsW3B3o0x9bZPew3uv/kad49fx+4+wBMFXmYp6pps+hYEHQohsUtxQz/VkEkQN3BxgZ98lg9svADzr7PnqkRRKXyUgFqgyUoDugdlRfXqlA+hIQsMpWcQYw/EAuMt2E4tbz4YcfJlwwc/v83ltQbOOXanu1BUjkB9bhn/49/kcplhvIB7w8eg4qwwDG/eYSyOENIh0Pg6JNZxNTcImOY1gvqlR+uEbLMajxjmE+JWgrc6J5y9w8P2BxP6GGAxm7MYpYS1O/TCHq2gSW5yMNnSJ1jlgkioa8X1ZIJwCt/0kFLT8gJyO2axkERxSc832GQNYX4Gar9Fng2QlATNIU29Q29hmWCBGnFwEZ3fpbSVEtGdw2tc+29/m7XPfIw/9tN/HiEE1uYcn3yB3ek9humAuq4zOfqf2FF/Gm/8NNFLYXIO7t/CZiW5zXFCMK+3EJkgXI+ZbjRRWUZvLPByQZindEzEcdTllDnN0++yVgwpzOIhiRtG+rz6jW8hogbu8keQfki0sc6V7W1Gd+8BcO90yrWjXRYXr7DogTevqiSy1kR210F7bBcZcWEpvFdRvo/QmiI2LJJjwmSFYZqwVxoI/n9fR+K/o3Lk/4Jz7m8//FII8d8A/1vgrwN//gfYzt+gCiL+G+fcX35iO38B+D8u9/Mzf5B9CyEU8H8FYuCPO+d+bfm9BH4F+JPL9f7mD3Li/0bNGUyRgrVV5UE7oCqVFqZELx1vTI4rU9KyxOIj3FLcDAnGVIzayzYeZy2FKytQpQ4RZeUIOveQRLXSkbClwUlLng8pzOMYyw8iPB3hspKCDONyELaqKhiD8LyqB9ur6F79h46+tdjZjF/8G7/E9du3+Ef/8J+iteYv/IU/j80tiAUqjioH21Xxg3Up4JbnsmRnYtmhFHrIqIEQgl/8xV/k7bff4h/+w3+E1pr//D/7zx4FBtLzCEvDwhoEVfuVs0+rcRfZ0wqRzhiS8Rg/ih5VJpx7uk3JmNmje1QUY5QKeTfa2z2xj2SxoD854mQ+4Jw9i/AFzsG1/QlZaWjHPlvtCEuJI8MrSvyxoWhGBBOPwERIXZAri44jXBhQpitYewtPapKTfQ6zU6RROCxSKmSoKbTl6tUvMZ3u4RgBMJ6M8TYtjhIhBIEfEkXnEULieR2UPqLwZ6jOferFDroRY1vLKkccE5yWmPk9Ip7u0VQ2Z7GTsxkamnioeYOpmGCVZWoTZvmYk3vXyOua/etThCpQwscWCer2MYvh14ibF2h4HfJ6jTf2xlxMLL3BQ77NAJhVOhrKAVPsUiNACPBWY+7du8nx3duI+RG6UYG+1TxDlRLZ7KLOPMdWfYuN+gbmnGKyN0EqQdRdQUQB3uY605VzFFONDmt0Yg+xWodJQo2ATdHD2JhgYQiNT+Yy8nGf5P4KD9wareUzME/hcBRAWoXgqe+TNTsEtRjhafzcMJt1qdf7jPtHzJrXabU+SRC0mfRPOd7ff1ShSrwcW8J0eoSaSN740gm39t9munfKtn8WT0XY+Ry5DNhLU1DahOO7e0SN17n/jldVSQRVRW4+4cK5i9z85pcx6RglIkAjbICVGVtqiC80i0HCQHhYoStV4HeZHRRAAUev8dzaFvOoxqaniazl1mRMMjVkC49u0EGrEVl9zngqUFIyPJjS259gFhmt9YRybUbtxQ6T1gq+GVPTMZv1Tfame9Q3ztAeZMyzlEkhOc0/yLp5BykEWbHCMS9z9KU9klnB9uUmDSlw1qEzRRGt4S3fVYuoyCBUyKJYEK0tmA5mmMximwNE3YCQeKttJDMCc0Im1ihtiZ8qalMfT/msRqtc9e4hghPsXOLrgNAXnDs7Zb65yRlvRE8/jxJVm5+se5h5QcYRNvpttnsrxLOMWWuIsHW00bhkg1h+iOHOd6jrIWk/hZU5xiiKosVoq0NrvodTmlwo7KlD6w2MMPj+bdrxGibroYKbSKnxlKQm6gRxkzS7he1OME5irYc3PEYnzyGkpFk0SLyYReDj+i+S77xNTeQsAoGJL9LtBYyG9ylDS5oPcLcHROmU+UqThgJBgbOQHP0sR/GU1rkv4qxDeQ7cVU6SQ/p2ijUlWb6JT4avfHzlo4RktKhUuo9HR+zMOsiVfaTzyaXm2LNks1Nk0ycrzrIWB4goZKh9pJBYZxjqkI2NdXLRgtIjRFHHw2UN8Kp562h+VKl+f/AcF/u3qbPKzK4SDU+RKw3mwzG1ls/uW29yfHKN5g3BVnYBJ47IvF2Gn1+D4pi81sVmFmcdQaYJRYpt7aOUz8R8hfboJyGXOCfIdVwl+3xFud1gcnNAnNURQpHZKUrDopVyWt8n64SEeULrPhTejN485cw85+7elP3XD/hzn48oWTArZpB1CEcJcrxPlo7xTf6e9xKgP5tTRgkRHZTUxEH0aDxJKUA+/0iEtrJtPHmdVtREmDFCzWkHHSIdcTg/pCgj5osrFGUTK0cs/D2GoyEfWH2F3BS4zCAWW7QHlxj0b5FEQ1q2xmLeotQROy/+JJO3fpP5/FVy1yQXmrGI+dE/9kscDGfcn76Df/8QVwj8zRFn7AWCnYIHk3VskqFKaNU+yDTLsGVJcf0mfmkZ/bMvMvz0n6TbXCPL+7zdv8q8qFqQ0+mM/iynX/4/WJc/wYrokIxHxK02D47eoRyNsc5RuAWtzjrjGhSrIQ+9ndT38Bpz7DSkUfh0y4TE1JmKGb3igMLYp/Kc5mEiNJkiHlyDSx/m5vGMFz+4TetP/DwnX/8WV29/k/HaNoWtArq83kJIhTzzPH57ncuHd/E9BZ5BBBPEsqWObo9pdpdj/23GKoW2e18F7x/U/q0HEsuKwB8C7gL/7bt+/t8D/wvgPxRC/GXn3JzvYUKIOvAfAnOqlqMn7f8E/CXgp4UQFx9WJX6f+/4R4HngSw+DCADnnBVC/JdUgcSfF0L8Lff+am3/1kyRU1hL6WyV3LYlVkqkVZSukpxT1uHKhNIWSGvQTuGspOIxqurNwjpKUTniYpmVL6SjjDzUdIF04C8VrZECJwVYR1om+NJ/NAAJBL4fIaXC5BaJxoqy8p+lxRQZwvMw5n2A07MZNkn5G3/rv6HRqPO5z36Kv/pX/jd8/EMfAmMwZU45B93r8LDMYsmWFYiHnPOVwyjCEKFUVbHA46/9tb9Go9Hgs5/+NH/lv/jLfPxjH320X6EUfqNJMpig8pRSUFVr7EOefYc1T4NXobpGyXyO8gOklO8JJJ5a1uWUZY549+u5XOdhCxk4kixjblKEqpGWpspUAaNFzmYrrNqaXMLq3oBYS1QiaPmrFG6B9EsQgiyWnE5nuOIsbtZnvbHKaPQWw9kxXhhWSt/lBVBHGGuYTh9QdQw+eX5VD3eFJzmDUpUT6ns9pFqeh87YCixeLyJYNFCl4M5wF5oN6t1zzJQg6zVIV+qsvHqX09wQ1s7hl4IoBOk6NNOUscxxQnJfnDL2Fkyuf4lme4WV802U8ChIMMZRH4y5dNJHMcat7nC00WDaH9LrVeV92VmnvvFdhFy+pqs18k6PYm+G3oiRkeb+jXdwZYGQCdYJpLWUBQjrI5tdLrUv0Q0rhqNOR+MeAheXj+z2+Qucrr7AnbtVq0Mz8ggurGJvVQ7PehFyqgRa+3jWQ1tNZyBRImM+X6Pem+IcHI4Eo7zNVG0g6gsKXyN9rwoifJ9opcv47pgsi5me9NnLr7J37Zd48cN/kRuvv/GIxlB5C7xQ4+aa0fyYlILpOwlzUjIf+tkxG/E57GwO3Up/Y5HPsCZBiDGBv8DNYqwwkCZYJLk44sY3v8FwfxeyBFAIITEy5OyVBf7NvArehUfitRFCoJdR/JXNM3hSc3XvzqNnKfR8zkWPWzCcdMRSsshz8uOERTbBDxy9qGCaV0G7SguiecoMiFb3KL2QwUmNCx2LVYrz0UVCFdIO2iz0kOHwOqXSzCcfhH6loyOCLkeDFcQtQFYO1d6NMdHxgk7do9EN8cKLuPweojA4BMHpK6Sb+xR6gfYWhGdPKccR/tk5ua7hb3R5eetD3BzdoDAnZLpSFG9MKq2Os40zLDzHcHgXqXOkkNTDFq2ViLOrHpsbn2Vv7+8Dlb7E1tafZja9zsnoX2Azg4kmlOu7BI2U0gQYW0LWRJQvEZYRP138z5msf5EH2W2KqECkpxwfS1wN3OYJzQJCK1iYEDn2acdnKD3BxO/hioxGL0dKSV0r6sFnmekb7NQm7Gb7jIsqKaMKQZIFgGVVlWw029yYTimyGunBc2S9W5QLRz7XTDa2oBixSKY0y1NmXpuO/hCz+pgiz7AuxxjBg3BKMhtRjHOadUs/O8b4ISdZH+egKEKk7T1RQQe/zBFujiskGXA3tWzhI1o5yFXGNdCLks4ioZfXWSlqlHFOGMW0vICsKKrWX68LRuCAltAcuwkOSf1jL3N24xyv/9ovMzqzzeSZDW6kfbaObyLcCsF4gOisV624U02YBtQmPuvFCzjpI1yHNB0xOjyhuzZhaKrKgE0tZ9QWreiIhfTAGowa0X8wIyt8budTAr9B6UlmQUlx9w6NjTZv9xWCOqJwlJ0HnLn/KhvHY9KVBoefvkx9MCafVfTqnWxKqtrsFZbDcYoORrjjEJFKWkdTRsURkjFKPklM4Dj4xMfJgxXE4VXqxTWEUHjNFiqsFMaV9XDDi6iz29U98H3yPEeIJrgWSg1oBS3isLnUZwJf+UznZyjKSihUhmuIVyRulnJ6s18JXk4aOD/AlCBkA2OmZFkNhyCsr6C0T/vCx/msd8DvipRchhy1z/Iboy8wykdIrenU+qg84GwTmsE+vzvrs59a1vImQdSgrmMitcBbW+PWQxa63HD/+mt0P/pT3Bs8DiIc8jGGRR9wOH6Ng0Offn3Aalpg/Zt4ZwqyB1topfBbba6cv8BxecrJMrjNhGCl7ljvlRy900TWYXsxxWbXWWkGDDJDvRXSP5rihCJXMY9aKMYniOyUQf8r3Nq9wk7vQ3xNBJyurz+6W+LyR6DRBWsR2mN1kPN8e5tbgzuI6DpSuqodHSgE+L0u87u3Ecqguj2E+P2HA//WAwngx5Z/f9O5p3s5nHNTIcRXqJz9TwK//X2280kgWm7nKRqWpZP/G1SBwY8BD9ubfj/7/vHl319/9wE4524LIa5TVUUuAre+z/H+G7cMS+7KZe9Rxa5hS4vDgNQ4ZxEuA5thS4sFJBmejDGuCiYqEwhDVTlYfmP9AGtLrFaIsgSrCESdUmTLwKGsBmlTPmJRU0I90i+otqqRUmGNQEhbqUhnGULJpxgknLWYJCEvC6bHN5BSIryliJZzuCUo22Kw8zkoH5tnOHIqWPjymB14yyACwNoCKUOKPCOdVg6cNRZrHXLp+CjtUQpFGdfRZQ7OVNWOpQNvyve2T1nnKEy13Hw+pV6v856F3sesfTpD74zBPRzwHGSLkjwpmQcLaiaqWK8ijUjKh4tgXEa0mOMVCQGK3lxQZDkFIHRBpgsmIkW4FkK3sAr68yGhVzkGQkhq/jrSPEemlmV0Dr7nMfu+TxxfePQ5CFZRusqsmPgQoae0Wg1croknz3NFnedwHjIRMbef0yi3ICrvM/p0k739FS7ei2mKmCiYYwqPzXCdsTlGOIcWKZ5VLGyJt5hi5x6e8Bk3QoJpylbZBlcytwPEyYgN+QpJrZoohRTEn3sRsfDh2jIfkC/wt+v42xW7SVEUDAcDkmmfQE+JiwxtcpKyhfC7NPzaoyCit12ns/ZZBl/8zWpb7XO01ja49OGPc+sJto925FN//gwH//wNJIo4LfhI5xneHt1ES4nxLS51ZMmYWAhKI8kLRWrGjIQlq8U46+OrBdbkSFnjA5/4JAWC27tvMZutEAT3ycsMLUqufv3v0j9tkqclfjyms7WHEBnTwytMizoZJRSVkotQiomb0cmnTO8c02lEBJ0VFukUUyzwolPCVCOLEm0yKAqcFaBHHNy4TljTKLvgoe5HrnxWz2YI1hk8WLB39mVmaZ96nqDaMd7mJqsf+zTpm2+yMhlyOh0BsNGqApjgyhVqn/g4sy9/hZXBCad5hskDUmNgUVCLS1T7CNIL6FmKFAI/yHGeR95oQeloJLCx1kMsGwbGx0dMT0Zo9WOUuWR6Okc6Qxg/Sxg0EMp7j+5IXveYnibEDY9mss1xcxNPTRg2LyH8zxLmI0z+BRZqijgcodYzcj9CbXZ4ZeeTKGdYiVaZTO5VyQCh6JgmlztnCW3E1b3r2PAb2Bx8HSCERHsKa9JlEFFZLb5IEKzheR2Siw/IFhVVqVnkOFfiJz6JBWE/CK0aW/VNdFmnffcPcZD/MoUP9VgxCUY0m6coVaBdHVEKwjNDFtM62hb0bRsnPIQAGYxx0tLr5IScpVQw5x4tr07pZiQImDdg2eZVb3VR2mNdBOxSYpMG5YPnwBqC0MPNU6Yb57DH99HjU/ajLQLvGTpJwcjtY8r7DPOLDLMjCpswmwqCKCdQPsNi+mjuSOdbNKxDuRQjAxACXWZ0LmSMTmrYueOkHNJbXCAKjjGkbJgS4wxoSDtD/M42uQe9zZzy9JTAC8AqynLZfrPSZFIPH807J7ePOWw7rv/IeVQuOH+9g+DDjDp7rPT3KNwlvKGlvnmenq2hfU3PrVTzkFNYIpy5wPD4Oof1d5Cqqk7b1BKZEJNZUDNKnWGtY+rfJZPgCseeF+HFktbtW2ANz3MTPahxbGNsq4lqnBLdGaOkojZY4CcFJy9D4/ohZnoObTPaheMgtxxNMgJ/APdrnBl6tMoYJUMmZkbR2UUrMP1N2Dym2f0SmdjkIFjjhZUmqhB49ToyCNHtiMZ0i1O/ju71ALh8+TLXrl1bPrFnUHpUZcif0IKq6Zij8onGS1XNaaIeMnvRp/zWACEisqABMiKsrbCY5hhTkQ/Ueueq7Wyf4aUr/wGL1/8OrxZDaG4xyqoxxKoYoxvAmERLfj29ykivsIhzjuyYYKSohz0EksVb1whCzTwHZUsOb1yFj/4UNwbfBWPxZo724Dmi0CPRd7HWMNRf4iBeJ/CniPoJzblPoUpE7YCm/zIf+JEf4/i0zzkbkJV3SEuLCTr0rrzC2uFrTALIc0G9HvPy6hl6TcdpZrimn2OuR8xnc9qrb+P7FWnCZHSBWvr/xg8V3776FrvzV3lw8/ElFL1tRGt1ObcZAnebc7JPWK8hyy+BTBFGIkuLcCGLyQjXaOKaDZTSKC96P7muH9h+GAKJh2on17/H7zeonPkrfP9A4gfZDsvt/EH2/YOsc2X5378ykBBCfPt7/PRecuM/oCXJEy031kKp0UgeoY+FQBQp5RMc8VXlwSAQWKkQxvDoiXPV/5wQGC+AIsUhQQlK6RHHMSabL9WvHbgZpTOoZRpJCM0kn2CxRNZDSo2QAqE1GAPO4myJMxZTOrS3DCTynMKUWGeAqroi8+xRL/+jU5QFNpUYOcWKh1UCVx2/rHAe4gmmJWtTkvkMUxZARFmAlD44sQRvg/Z90iUewikNywDCLhmVbPl0NcLBo5KllAXWJGRZ+igw+b2YcxazKJYgb0e+DBhSm9GwFUWvPR9D6VA3phjrMMWYdpIQEuBZjUt9crdso9IJ2rfL2xkjhI8Ma+SzGblZBjFO07afJIhW2ZO6CjqX1mq1GI/HTx2j7/lE0dlHn+P4IqHv8bDjtnCL6r62MsbZVwk5R9ddIpnO8DNFKO7imREBfbaHK9RVj6A0xJ0pgzykHqyyaj36ySHS+XilpsAwzhfktyecmY/Z/VgboQO8E0mmDwg3blNmEfm0R+Kdx5qSch2y4T6NsM4jHefiaY6E05NjZoNTkv4xjfNTPJNh0aTzM+iVFufCVaSWPPPRNRq9CGn+MB+KfZLU4V38JPVurwKoP6Ec2o49Vuo1XgsT2gnkNmPn6KuQFqhMU0qJ9AVpMibQGmMkWa4ZmerdQUi0jGnUwPXafPan/ghnz55lMBgQdzrMT6oWp6JWoLXCeHexwZzGSoOwAc12j9JOwB0xH68hnECUy9KiUuTKkaRvs8h98u9+gZ0f/VPM0zFlMaPW6OMt7JKoWdJUXUphmTHHGkM5nyAxIGvgNLlXJwoGqOc22f3EZ9jtb2C//es0GgHhWhWsxa+8Qvjcc/hvvEHzwT3K69dpR3Vqn/k08Ycr+t74Yx9j8/pbnBzuscgr9p3MOIJyTqdtmWxO8O4lOGfZWDlh3nycVb23f8yDkeVsQxEKxeJwBW0vIlxMMlpUrMqtswjbR0kJ+mlVbwATaYwnGR0tCPMa8+GLJLUUEsV6tyTyt4i9j7FwX4ROjFnkiFbEZucCF8/+OfYPfoWOM3jTB3h2ihds8aHGeU6TX+doNKWoLXj4WmnlIe15vHDwnuNoNj8AgJQe21t/hsnkdU77/wIpFWGjSdhoMJls8uCZGi+1n2Fjr10tj0dDXGSeXiMIYhqNXaRaVqiUAisqEO/GgOnhKWW0gpayomzWGXFUEoWSxrMvwtUWBd+lhWY+CcjKOtm4yka38ZH1BjjDZj2mP0hIcGh8kBD4IZRQIDhsd7jlX6aje+TpjDoNhvrzfLP+JuNgRvvWCU5Y/EWDrJwQKI95nmGFJjNtut4WzxW7PP9Mj1cXXe4PSrY9Sb/uMUsLSt/HYridZ7SPzjMzEtU4pdF6AAKy4A7T8iz7/T6tMELlNZ70pKwUCP9pfR5lBOOrB7hLjs5pjSBTUIbU1z5NOy9p2gYj49MtWtS3V3mgfx219iZy/BJuWs0zsXeG+fEdJs/MySYPwI8xqcFLPKydgHQ44UA4rDfHFDGlDEl1g9pihvUGUD9EBQEvrxmcmyDEIdm+ZFg7z0rcQStN58u3ubMu6LcPyIOEKPERzlKflRxPUyI7Js41jZnDNfdg8xa+tMQqQy/2KOwJrCa0Jh4FezxYXETURDX+eB7+Zg0ZeTRW/iTu2xWAWmvN6uoqtVqN+XwOnEfKE5prGaL0lqQgEKkzXGx+BISk5TcxzvIm/4KCnJmX47Y7uHETUxiQMQSahg6wJgchiVYv0NmosXWlDa1tPrH6Nwn7b/DV/a8+9b5kwRZxOeawnGNxRHGbmr1KIjeY7K8wDw44dQuOB33GUZdEO3SZc/TOde4/eIf+nWsE8xFR1qG1aBOOz9K+bLmf3aBUU1ZXq3y1BRb5KcaL6XUkrc0rPPfCi9QefIdbt/8+q/UT8iAnic/x64tv8JMv/jzdB1/j5FijlWCnvULYXrAQm9wrPoWrpbQGv4IfS/DXkKNj2t1bkGtcsUnR3+PYpQi1ge+VlLVncOdeBOBnX+pwfPj3WMxHtLBMhaBd8xklKVIp6ukOLjlPGX2dZDpB1arKby1qo99n7PtB7YchkHjIezn+Hr8//L79r2E7/6bW+aGwKKhTpCOsAGEtGFNVAHBIXAV0K4unSEelgIwSGwYo6RFay0PCIYcEDPVmnTJQzAsoACcEVogq6xvXKZKM3GRgNc6l4ARCSAonyGzVQSitIxQV24vUHsYapC0wpUQagykMeskgY9MUax1Iu8xQiarEbn00AaWeUwU4hkLPAfEIJwEOYSOcrAY1gY9bZivLIq8CAVtWAYytVe0jUqE9H+0ptO9TPnQMn+ANN0vqNFM+riIEcY0sTXBLJXAh86rKYe3vS8DOYSkZ4azDmccVjcSmCOPQQUWhyzLgKo0lnB/Ski0kAWetpm8tdnmHhUrwwiX1YNCm0ehxehqj6hlmXoADO/sw7d5ZupsrTDnDeHIXgG6nS7PVJE3WyfIqppZS0mxVGdOH5nltalGPvlAIZyp2L1sifR9/p0F29ACXVZm5eK5R0QgvV0RzD5+CSK0ii10aa1N05rNQG/Q4j1k4ZODQ+ycU8yMKW2AQ2FqD9cMJ053zjPCp1+4h5AQVTDDHN8mHdfYWB0zGw4oZxpZsZkPO7bQRxePOSWctd2/cIBsPaG0eokW+vAchSrZ4rrZB2L1IZz2mtbpk5JIh0cs/x5PNAdY6RvPHgUS35uNrxfk/84fZ/5V/yFbg8LRHqA0GQ5ZqbokjLIK2i6nnDRa54ECmkFcVIoXGeCFtmXBkG+w46Ha7tFZXmZ+cMpv1yHv7RDrEFIbSWqL6HD9qsnl2lTSrMwrHmOOYYlJiTVG12wmHatYwsxRyyJIJ88EhxfwU6Q5RWYLm6clGCoWPwtgEN76PX48onMQVHVyzRC2Z3obZErBfbxP71fVorlZleen71D/yEeof+QjlcAjGoFdWHj9D62uc/8//IuE7b/H27/wT5u4eBeDPj3j2sMa91rcITUZSm+CvzglblzkeU2X/B/uYuWV/KFkPn0OZCgNT764ivB3SRkFxcghJHyUFeE+fX1DzyOYFeTNA9RNk6hMRYDyLn2o8X+BaFiWvUFNXSbpDRLdKVqy3XkapkCg8Q570uRJfZiTmnO1ucXr0a6RJQWEKEh4neDRnaNZ+jEbrOySLe4+PI9wgDLcffRZC0mp9kKIYcuy+hEBRdy+y1fgQn/jUOXAwH+5jFtXY01HPcJRexQ/9StzRCYRweLKLEeMKz7SeMB4uUFqDyQhre4RRxmbLEfqb+Fston6OHvw0LnmAd7LH23KKFh5IwUuvXCD64EeqIWj/77L7ZU1qSpASoSW+VjR8j2w6BjmrWl6NJitKhEpJt/oEZcLZk5RMCFIgy31OBz1UW3I02sSureN5Pn/2hXWas2oc+6R/zIc+8tOEtwa8mTe5H59QZj4tGVAEOUmeYYghW6fiRYEoGvFgeABOMVos6AqBeKJIXASS0fNz9qMJnUWdi3vrzPIpYeIhjKAxWYJtpQYtGbUU3aHBNz6L4xGjzTFj8Tq+S+Dca+hxFzvq4KZteuYlhpN7ZF4CXojt91H9e5j4GDT4fokvErrp18gewEH8eahBMBvB9us4mTOKDCv9DyGEIC1ybh7tUhpDlhnOrWwQezGNuw+gnWMbc2LTZeFKGvOS40lGK5/TSzys2YON64CrMINO4jqbyJUxUtXxszqecezEe7jSxynBonSEYUyn8xHG48fJl3a7jZSSixcv8vbbbwMe3e4f58wZj9KM6N/ZoL87Iqw1+ejntnjzS7tYU/kdl6JneDu5Wo2xqSArDcKBED6JF9OwRygdMIjO88nPXeLsudaj/Qql+ODaB+mnfd4ZvPP4HtYvgjuGMiUQkiBMKRKDju7gbYy5qQZkwjE6aUMeIWxKiUc6n/OPf/WX6bQHCBeQOks/g20hSa+3ECuPz1k0QnwkwSQhUZKoZolWfcaTb2Ps1zh7Zgs5txzNj6iV1bP3rf1/wB9pn0fnISBweQGbz9Bc/yR86xTfnxJuwrjMsHZBe5nnaXgw7e9VSUROWdkYQmuVqHmPTO+wtfIcG7VDvJbDeDFFWs1nzWYDT4UE5SXWwo+xyy3mySsY7w7CxTg1pBHtoNz7ixb+IPbDEEj8O23OuY+83/fLSsX3UdT6vZvwfIRfg2RegaAtWFcgpMJz4JezKtNvHaXSFQiZKjDA5SiX4YcheWKwj7I3ChWF5Fn51EDsXKXK6imJFprc5djCA1linEARY3x4qJXgpMNagVQBQuVYIRF6Cdw2IWXm4fkCyhKXZRVFrC541CRbelirEJ5FOoVVtqq6PDxOqZasRx6CGGFzrCtJZwodCqCogghnq4y5A+EcQioEAlNUV0NpR7F04t27tCycc5il+rWxFk+AF8VYqSiyxywYxpRYa1FqyQku5ftXFd0SD+FstRxiGZQ8DcpKbQalRYeKh5QPLlDM0zFBWYArUEDPSlwhWCwx9TrKEX71YWvrMufOvcQbb77D6elXUK0A3DN47XOsvnSOcKXG2f4r7O1VrBDNZhOB4MKFP8T16zfxfZ+VlRWiaOU9zFTt5hXuy6rK5Bx0Wn+E3N5gsbiDjDS5ugecpT3OSQuFmmi0alDzQlymELUZfmDZ2ZhwM4+IOj0+UTbIi4LvZtdoWRgmh/iej8AQTxNINYXJyP0BmcsQQBwd4YZDJmHlNE/SGbEO2T+aEoUe66uCfD7jrVe/xVvXrpElKcqOCOpzVFY9i/miSWv1CuHq8xA0aG88Tev7bpukxSN+7lqgCL0qgHz55Qs8v/UfM/7VX8UuEkIhWcgSpedM5wUFPjaw3Mg0u8U+iXQV+YCUCCsJvJAVMeSrN08JPMUHz7TZ2Njk4PAe5cCSliUtYLrIkdpHBzX80COKQ+I4YjFfoBtHkJ/DFBn1oMY4OUGHiomrkeYlcW45fec7WHWK3zohsBpfabzJBuWwQ7Z6C6szpBMI7010vWIdw8FcdQjjx0F1fxlIcOYFapNrSKm48MH3Dn0PFbXfbdLz2HrpFebjEXe/+w1CO6WwJbVGRldMSf0NmhtTpB9CsahYucqs4qL3FLNFxKauWiI8PwL5DEo5SmfQD5MZQrynInH2hS43vnlEGWvsWOILH5EqmqNqOTEy5JMZ3lpMo3WZhG8CAi00G+2XAAi9M5zsfhllLL16TKHfwJSORZIxNCNYVkXzxbOE/h+mt91iY/2PkyT3ybIjlI6pxZffl/Gt1/tRVGsNN9IoQryNWrWcgPClFdK3BphpTizPUvOazPMZ9ahBls+I5Bp18Ukm6lsUaoGiwN8qMOWYeOM67dhyZqVqBW10qnsVXulS3mvARNHdXOfikceRK1iVAd3PfR7/bIUBccUmzfptjtPH78eZOOZcVKOL5mi2R45COkU/SXBZwmA6IujPcYWhGTTIyxnDLpTFOsVIIdsxCMGFzXM008eYGikE0e3fBCF4zu+ye36bYcexfTQjL2E/yrD5Fooapqjh+QuEbwjiPbL5GSyWRDviorq+hS2Y7wjyJUzncx/4cRrScfXeGyTlgsYkwMsVG7UNDueHSCGZ1Cy9cUV2bozl4PR1ZhunNMsI34FpDKB+Cjc/gHZNNm5vcmN9gigTMLDgBIIBDodXTNHJHCPXSRrnqM/2ESOLb0uczAl1iTq7Rv2TP870a9/l9uuvUpqH2LgZW6bEX2LUGvs5i3PHaHmWMJ/SnXrou1P0viEuBW7lTZTLSIspgV6+e2WA9JrUXB0nIc9LhDMUxlI6xXz8Cg9Gn+TnL2xz/fo3n3gWq/amlZUVPvOZz1TvxxPPbOsDjo3zq0QNH6Ul9U7I5LRyys+GFx4FEvmsYsfzkFjpMQ02KGVIIUOs32C1+7TA5EP70NqHuD64jsPR8BucbbzIQf42wq+CaV/5rLSb7A/2Ee0xaVLl3aLmBNcraNp9kmmd8fEWZaYRwqBMiBSSUQ5dU4nmMfDx10uKumQ17nFhss1J/W2GxiIjBerLDAcV9baU8ikBQoAyvcfkzGfwjwcgJGbzx+G5K7ScA06JeZvEjBB6zjjVaN+yaj08JcE90fHQ3UJ4AdttyVrzdc6e+Sgnp3er92+JiRMoarXLbPmfxI2re3H+woe59p0xOn8FgM1zz7JW7iD4H9/3uv4g9sMQSDzM4Le+x+8Pvx/9a9jOv6l1fjisNMjSIOzSXxYSZ8vKwZNAmWGsQziHtBYhZSUMpwXKZFX3gzEoKXA2oOKvFiQLS14ULJngcAKcFkzyEic0zlRgy8pHj7DOYYTDLGsaAFY4jDV41LHMkKpAGBDaYvMc8pR0aPCcV1UhdIkTsqJJNVVmKxcFyqvh15qkSf9htxZCKSQhNhOVFoYAjA9GY8oUU+boYPmCPoLKSLRST7VLmcKSK/OI9Yknla+XQQQP8RAOsix/NJBKaZ9Y1AH2UQuZ0rral/AretxiuAR+g3HL/T0FqagwJ7p9DbvYwORdjC2Q6onS/GZIPhwT2hxBSdM41JmQ1WOJVyr2lMFv2UfnsLp6FiklL77wR/nSlw5BeCCeASGI1ivdz1brZWazNx7tw/M7bG9fJgj+BJPJqwC0W+91DhuNl1AqxJkMudjg/qng+vxZNtVbbNV9rO6D7BEUE8xEU9gqXFJen2FDs+5X2IxWPePDH9pCtCtBrcWrxzy3dpk7eUxv5TyDwTsYOyZKNG5YkMp9YhxOQ2ZSSk5pZH2SRcp0XLA/HqFxvOwkD/bHGOt48P/5Ve71J+RliU0WKL1AWltR/DrN8PQS5z78AtTXeOZj67TXv38gMXiqGvE0ZaDu9Wj9iT/B/CtfIbhedV6GnoeQCUVumQaC6+WiipVLgxIWz/qspCG+0mg34cXjX+N2+xf44Jk257bP8d2b3wVPU8YtVi5cZvTWXfSS+WltffURR3qj0WDaHGEG59F+yPlwhwe1FvGmIjnaJZ3vMpMS4SaUNqERlXhOoqQkKHq05AYzMWcgHqCcRmfJsvAncVIykG2uBI/Z2ca5qsaHuMnHf/QXaEYenv/09fhBbPP5F9l97UWM+BqOklFhaQUhwaYhFRJRqyGVoJzPGdx5lsbKLqJ0FPqDnH/5IwRxjZMHgumger8KY9G2ukdKiooC+Amrd5aBhRDkTZ9GVsdzPgUlgfbYbq6zPzmmOJoThavsrO1wfHJEkPi8/foJa9t3CRKNLOscLe6RjjPik5DY1EhMghWgtCRbrCHN82ip6W5WwUAcnyOOz33f6yGEoHHpEovXjhFaEV55HIjpVkD9k5sUxwsWr52wo36Ba8Nv48c95sNDeisdsqKk8M+g/CPKSYHu9vGYoXRJ7FUJDiUj4ks/D4AMFOEHLpEM9lHA1rl1NpICuf0ser37+LgaG2yfv83wus9YlASBZj2IEEJwttngj59d57euHrNuNalwnLoFdj97xPwTaR9fR8y7loXQ9KhwEEIIPrWzA/ceZ54nacHxJGWlEdCOfP7ws38SpMJ9+//O3rTSTbraO4vsnGHHL5iOfoNcG0K1i9IJi/EVRD3ADFMsGSetBeWVHgLBs51nWQ1C0kafC63zXOtfY+VEQ3iNMAaZCI5XTrizuMvW5HOImcUiUOoeCzFE5JYIRyEjnChodPvIww69pM3ptGBUMzS8lGHjm7RtnTJNUYsprtWhbLeZnsRATm1yyMqZlIwxmStIgx2KnmavEWPiGJEk+BcuUNy/z3gxIww9wIHyMIeHuKbFx+AtdrHzc8wyS1lM8dpjSjOlcBPU/Q/gbx4iZIGXR2SmrOZqYxFCkZcWEWoG0Rb93UP+yeFbtOMqEaW1Zm1t7ann8t0mpXj8PgF++Nj9bNKm4TeY5lPsskCnkbS6PpOFZOFXQUor0AQ1j/ezbtjlx8/+OHcmd/jg6gfphT1+e/QVxtMKs7FZ26TrdzmdnGC1wQTL7TQMKlwgjyVhY8bsNKO0PtJWGltB3CEXIfezqzTcBDFpU5/UsV7GC4MX0PicNg4QaoiMYzztvee4ZvGM40U1j+Ec/1Lf5NNrn8bzatgixBmHUIIfv9Di7tX7jNSUet3jRD3HfbvgcubjiohhP6HdvYnwA5zXQJBTDzTOlkynV0mTqurhcsO6+xMoGsRrq5hxRr5Ul4/8OmsXLnN85yZhrc72Cy+RfvX4fa/pD2o/DIHEwxHhyvf4/Znl3++FSfiDbOff1Do/HFbk6DzFVvAvsFUGRbkck2akomoRckKgJZXzRFUChwqcLAQVoFIrCqtAq2XWfNnkK0Xl+CzXSQqDdhXGQktd9d47qkyHNYRLQQsnKuE05xyKJsZlGKr1nEywwmKERAoL1sMJi0EhHQgbU3iWUoIvIKU6NikcSi37XMugiuaFAdwj0J5AgFXLbLnDIVBKUiltwyNMxdKexI/wLpyDKSqOdOuqLnKXV3zSwtMIlVcq3fCYLgoFCJy1CC/C0y2EkAihl5oXj6lq321CLZCtY1R0Snb4aVKbEezOOFuMKJNXCW6d4rodphQIL8M/c4fxSoASGzSSD9BIC0RUgPDQShOGlROgdcilS3+M27crPoLt7cftFEGwytraz3B88hvgHI36CwB0u59EqQClIqLo/HuO1fNaNNxHWUzuIGzAt28dMgm3mIku7XiC145geABqRFFU51tqxbhuORY5n04TMpfiEyOiCqSn6j7B5TbNScZWsIETEAUz9rMpngippY6gO0EXBpFlCFtSmF1Oji3hoEUyV4QbLdJZzhuZ4MPOkN8fUmzMSJc4F5ekyCjDdzlFSzOebVC2VgijDkHsPSXu9L3s6UDivROg7nZp/dE/SusLX+Dgm99cijJFzPMMl+UQRbgiR+UpXZdRUzsUHZ8sK+mfbtHpHmJPXwMusbOyg/RlheOwHgcHh4/0XXx5hUuXfwTPb3F0/M+oN+r49VMSUYDzqYuYl4MLTLoLTmxOcP8+VloKMUZrDy8uCAlIXc5uL2VTLmjZikdeCY2zUKAQUpMFmllepxFWbCUOx9ToR7NNqx6jf59Ug7VOl9UXfpLTa1MM38UZy2ixAB+EHyBrMdJFDPpncEYyOboAvkf0Uz/K9nPPcnh7zHTwmHFMbMV4/apa6CnHhZc63Fl2FJ15oYcXPG5BLGoetXHA5fACaWPMpdVztII2R9NTjLPkowbb586QzKaYpMXgcMTk+G1cYbDTc+ArnBoxmggMIbOkTi6atDqKOHqW2GyydalN+D0cpe9luhvS+PwOSPG+DpxeiZCRpsk6dXeZRBoch4yTlHGS0Vw/h+/fpVzMUNKgyKsKXlC9i82dn0EEjUfb83bamA9/ivz6LUQ2Q+2s453bRAZPuBP1NdbXA2ITszdSxFJRO/8SVrRg/zt0R5f5dLTK4WxO4BwpYyYoHFUg16o18Z/7UfbSb7IwQ4yvUKnjlcuvsL548Gg3zjluHM3IjeV0lnPlQ5+j2z4L1iCCOjtizmHZQTUrAogrL/wUk8N7jGcjpJUMvFNypohug/56wXSSIi9G1NwxNVHjktxlb/dNjM2pex/mfOs89/PfIoiGZPoq5qxikkxJ9hK+u3aDtVkA3hTnjqgd++AUpZRYqUmjEF3cpXbcA+u4NFrlTpDS7V2nKDUnboqTJSsWQqnJalP6qwqRxVD6NJpj5maK6qwwOtrnfvEV0jQgfL6CU1p1iKqP6B8f0d7WyPAQ+6CFmoxJ23N8XafIS7z5SRVjyCOsK8jLEYaYeTkjyOoQVKKEyyvMlCMsPll0hqLbZSRXKA9ucsOkPLPWoB17bGxsoPXvzZ30oiferdTwfPd5vnH4DVxafa8QNFejSup3aX6svy++8NnuszzbffbR589e/FPc3fsHGGuo+3UEgks7z3D73g1UqbHOUPNjTCNFDBVNL8KszZirAo2H9H2ErRPWPYajgghIpMKiuRD00PgY5xglIXKjjgjDRxT1AFIG7Oz8BzQGX6V28mXujKtK2nRxldeKLT4UfQhlHXaeI+qSldN/iYoF/aTOILWsdLvQ6dEcniU/GZNnA06O6qgzlzHuBVr6DqH3Ns45Th78iwpjGilUUUdRdQ2ouveYpAUww4xLH/k4GxcvE9TrqFLiyj8YwegPQyDxO8u/f0gIIZ9kTxJCNIDPAAvga/+K7XwNSIDPCCEaTzI3LTUe/tC79vf73fcXgP8dlR7F/+HJAxBCXKQKMO7xmBnqh8a8MEAuFlgk8yx/BJy1D515V2XrjQ6QoUIVOVIKjDBLjIHAOlChB2VOKULw/CUVaZWFkHqJF1g6wIWxeEsedhBLH1pQCkfpHFpopJAUS8yCcQZRCqTwMSJHYBG6Amsb66rMvnSUQqAQODRWaixJxdjkHLNFVjmdTDDW4alaxU61pPnUvk/xBABWWg9stnTixbJM7DCuRD5y+isrzbKi4cBZgXCiAsc5SzLoYz2viricxQlZZWHVvLo28iH7lMQhcEaCCcGX+N4TPZ9PYC++lznASYGUJTIYkJhNuhi6xT9C2kPma5CMXgJREG/fphAJo/KEoHuMGdXpRilTz+DwWVvfRKnHmfWdnR3m8zlFUXD27Nmn9luvP4vv9yjLKVFUZUul9Oh0Pv59jzcK2yS2chLUMgOcuouMFt9kq1vDG+2Sz2eIoiowTesBSMF6cIhUN9ljhi9qNNPbeLZHFG1Dz1C29ygOR1g1puYStrBMFgF+oQj1EG0EpaghRImOx7hQovyYRTqjdjQmW2tRpnC70DzrlczTFM+PiOMa0+MTfG9BJFImqzEu2kb5F/C1T1j/wZy9/vepSDxpvRdegO98B8qS1TCkGHmcllNIE1xRsikSPrl9jhvDDpONDbKTd8iyGrNpFzM5wlhH7MVE3Yj54Zzc+JTlY2D8autTxM2X+d3d34VZn7Nxi5X1HtmdBc18Cy0UvZU6Z1ubvJGWTPxV8nyEkYa4G+D7PmFzhd0gZ3e9y64r+bnrF1Dj29hlW4UUilI67rsXcb5kJawc9NI4iqXKfODJ33cQAdXY8cLnf4zBRpc7v/U/MO/crPA8nodq1hCAzJ9ne9XnwWhU9Vn7KxRvTLm33md8/Li/eeNSi2vDCeudB5iZ4sp5wcqldUTXp8wta+cq53ntXJPje5OqKtHw6Zg2jdomjTAkeq5LeBQwzxPM3JEvPoaZlLi8wn+Ug4f4Bwn5WZLJBmVheHQU7YDV9fN8+MN/sC5W8X2uqZACf6dOemPEStzh7vSA3s5Z+rv30XiEfhMZvYJU9x/RQ9aiFp0rP0Kze4762mfecw/CF1ZASsp+grdVJ7jwrgJ9vTr/2tqIc14TVSvh+Qsk1ydQW4PxA7bbDRrKZzLLMJ6hL6fYoIMfxfzCf/Sf8JW3dxnvf5Yju8vquuWPPPdRtrwG/Mv/juFy/Pa1JDeWUgZ8d/NP8/qszs8MEs72YnjlT+NOb/Ba+bj3e629ykbjz3J8VAmY1nt1bqy8xSiAXDTxy4iOvUZoHM+2nsUWo+qcQ0Ui7rIS/SQ2jimWEEg/GtIrH6BbEw7NLv3GDpvyLjWnEK5OMexQDl5GvrIHoWbmHDoaEcw9PAPtUx+xajAlSKEpsZwiyJ2kduESs1ZKtHZK/cBShguk10IuHdXRyS0kz+PUPp3zHqf7byF8h2kqgivPYb67h5zm2LFgOu7ji5Jm6qhNdpk2VnHeEYuij4dFqSa67ZBpE9WuWOaEE/gnF6B3gJI5RXeFQrUq8hGTY6zjncMpHznf4cyZM7/nZzaIHrufWVLy7NqL7PkHXC8qjppQKOorNeIDzSKvkjsbK9+/Avxuq8WX2ex9hvH4O9X9bjzH+fM/wfMXHrD31S9wXLxOVqbMvRwTeqhc0V3JqJkxXrhKrGKyIw8xPqbX7GBcB6slxhqOkAjfx9ZryPjjyNbrSGWoN+rEtYsE/hpxfAGtG6yt/TRR48Pc+e5fAufQdkZS+yr9dJPVaJNiOOXk5DeYzm4iBZSupNk/R27q9Ffn2Gd6nF09y9WTb5GIFc4k5/HvLeDKRUR+g3K+oBxWY430FXH2LA/VwmXNe0S3DVCeLLDzgnq3h3OO5K3T3/O9e7f9Ww8knHO3hBC/SeXo/6+Av/3Ez78E1ID/85MaEkKI55brvv3EdmZCiL9LRfH6XwF/+Ynt/K+B88BvPKls/fvZN/BF4C3g80KIP/YuQbq/tVzmv/9h05CAqs+YWozMMupUInR5WWKXDUaVc6oxYQ3hSfQy0JC2QjJIAblxaE8jfIXv1SlyKjYFQHuVo2yseeTU42wFqqOiQRViCbRWVeAQqAghXKUGSQVEruQqdKXtYKr9WgBrKaxFyEeEUTinscJhtYBiGQw5Q6l8VNHACYf0InI1qwIAIarrIEoe6jJIZIWhEAKsQSIrQLJO0b5F+T7ZvBrIHvLxV6hpsYSpGyqUhYCiWk7Kh8xUFmcNUitwDoFElA4pJaXxK0BzyVP0tg8Die/5CC3BK57ysMIQNE6hsEhzgi5OQSh0PKMcG7xGH6EKcjJCBE4Yks5rXArP02pKiGuEtadxDUopXnjhhe/5HPn+Cr6/8j1/fz8Lo8d9rcpVz0vGJrmpgrftizscD47Z2z8Cv44nFb6SPNf8Fnm/KsnmHpz2q9i/Xn+OJLlHuTYnOTwB43CBAW/G+nSDeaGJRArOR8oC4wTSizneUcjhFFGVwPA8gV+vBK6mrBK026yvnKV48IDL7R6ncsg0VqAELtpCzDS+9P6VgcRXb56yP045GD12XLux/z2Xb29s8OLP/RyTk1M2xmPEZIgY3iRLc0JZcr5XRytFZ7tJsHmWeS1kePc15vMWtWTGYJ6z2gjY2Nrg7vgupvSYZkM8Qnzt0+mc4/WT13ln+A5xkRCRs9HZoHOxizjZwo80QexRnqRs5R0exE2kF1LWDF64TxzUkIHHqLkMcgXY3jZqqjCuoo5Wymc4uUTR6iGuTOgtX5XCWEpZnXvN/4NPOVIqVq58gMbuWV4f7LOQCZCii4KV7WfZfvZPc2k04Z+PfpPT0xTROIPDsXtjWPUZA1IJtq90SL90RE0NoQXtRg8RtljZefoYd57r4IWK+ShjZB3eomQ+TCl7EfiSyAuZpgsWxwu++6X71MX2U20bj8w5yqVSuBMCqyX11Zjz58//ga/Jv8q8rTrZrTHduM3d4R5hr87m2SuURwnmKMXF60StHcrxGKl9Nlo/yuYzfxap3z9AEVIQvdD73jusVVSUUhui1SFc+BxmpQ7XJ1BbgfEDpJS0WxFxs2QyNJyxhnGo+MzP/hn8/a/zwr0v4J+mvL7xC8hkhZVwA/a+xvFkwa2TOZNgg7TzLH54m93WhyhVRJkZfvW7e/zPPn6GtcYGC3+Fyc1qyve1pBFohHiG8Ox/woMH/zdaYQs9FTSzq4yDl6jb2yiXcbnzAqF63IYjPEmpB9iiwD0iqxBEUYyYS9phSdQbsH+wQDbHj2rYbtJBGo3bfIlNeY9jKei3Us7OPDwUdaHI0FjAOot1llJobsk1gqMR0o9JVtfo/H/Ze+84Sa7yXv95K3XuybOzOWqDchYSSFokRBbIJBPEJcoGJzDGOFwbG8zlGif42cbYCLBsyyCQyNcYECghGQQSoLjKu9q8O7uTp6dDVZ3fH1Udp2d2drW7M1q9z+cz291Vp06d7u2qPt/zpjUutlXG3re7NiYjkxh7P1Z+O8nOdXjDKcpTkXjf/dgWSuKQSpWwUl3sHxvFD4fI2TmKYYmxvTtIrHyIjJnA2BZnrl5Ob7KPpx5wGTdRDJlTHCAUF7fUjddfoECZMbMuysIYZyk0GFadcg7J5OFn/Gm8Rg7sGOfAjnH6zSYOym5KJqTXsch2ZVnda/PUgQkynsPKgcMLCBYRenouIZvdQLl8gExmHZblkMmtpr/zIkaHHqXkF3ErNpWOBNbBKIvdMqsDz+7AKlawJhfxtDUZ9wdd6zdg5aJFhqqfuw0Ys4hVK7tZtGgRyeTSadbBXKqP9UteyWO7vg1A4B1ke/EGdhc8erZlceMCoJUwTiFfWUTvvgzpCZcneJxzTn8TS8Ne9j8xTHowchtdPwReaS1FqceqWOUUWU6LnqddxLGwcx5uX4rK4FTkdr11jPRpvZS3jlLZX+CZMu9CIuY3gP8B/l5ELieaqF9AVOfhMSILQCNb4sdWG9cfA5uBD4jImcBPiYrHvRrYTyQWntG5jTGBiLyDyDJxk4jcBGwHLgfOBe4CPjn3t378EBHsXI4wkcAMj5Bw3Liaa4XAGERsgmwH2C5ewqZkDMlgnLRnUYxql1EJoRIaLAlIZW2mSlMEoR9lVBJwRRDXplSJxAQmioUQiVbwHStBSUoEEk+qcXFjS0FoG4KguopqYVlWXMvCioq8WXXBY8WVHI1x8C0TrchVAgwGAh/fsTCOjSU2KTuofVMcN4qxEMvGhEEcAyFYYY7Qjias0uDNZBhFpH6TbIxXsC2p5mOK3ZUaPuv6EWBCLDuy3NjlXHQC34oeBUwQziAkGv7zggxYhXrxNMBzkhTtMl5umGC8yNCux5jomMILQxxxIDmBlRqPIipsv+Yfjz3FVNc2bBGwbBwnx7Emna67Adm1+hgOY5XFwBAiQjbXg5txGDdnknUf5IxleayJvfVO3Ppq1MREtIYgjoXpTCJDU4ht49gO3R0BvUMJisbGkGRCYCplgecyaaURP0F2PLp5Lh57CqdjNxIG2OJiJVyC8Qn8ffvoSCbZZ5coZ6PbZFDpIetlscQiNYuQ2D9W5O6t09N39mRnFhIAqzZuhI0QFgoMPPE1ipWVjE5spS/l05/vIn3uOWw69XTGJuCJn/oUXYupCoSjhoMTRfpyCbpT3exZugf2JClVSrhWikyyg2Q2xU/3/hSAipVnx/gjDGQGkN4xupxmF618IkdHZw8T46OkLJdk9zY68l2U0wElr57/fTLj4djp+kKECSl4HbB2nM6eJE7sdlsxFsaKPsOUd/jZytpi2SQ6B1hpDTBUGcQY8DybdGGcbMImu3otr/hfb+LGrz5OqSZoDHGsO7meFEbAKUSrcQI4uT6wp/8kOp7N0vVdTI6WGNlXoLAojQQGU6gweM9+HC9JecqPKjCXgiijVNJhY98aAB4ZjCayXR09JGyHveX9BITkezI87wXn0N3dPe2cRxvLs3EXZzC7DN3pDobHJiM3CBFWdC4h46V5YnQS42wlYZazfNGLZhQRc8J2oHs1DG0FLwNLz8V2XZIbuqjscgkGU7V0y50rDOu6elhSyLNkwykkSvtgx8/oybjsGJpk0cTDPO1exD3bhjh/bBvbh6Jrd392Iwe89dC/oenUQWh4ePcY/RuSLa6FXu0e6zg5urufz8GDP6LD62CoOERH6UEAFmeX1AJkvUQf5dJg9DuRCdgz+p/1zzTpkEt2QFyB2HN9liy/L/puTBoIbPLlPvpPWsS6F5zBQ3fvIOnaTPVabNvms87twPOKTJlImpjQJ8Qwbtayf+JCEsWDdHUPkkhV6MmnCSbqMUcAxhoncB+ns3cxgpBIZ2pCAqJ4pUIyQTKRoBJmoFxgLBiL903hpCZxMdj5LAM9K3EqZVYt7WJw9CxKrk/PsstxOx6lNOrz6MTTmNISKpm1vHxTD3eNJtk/XkRsj6HC9AKsc8FLTb/WbLHoDZPRNeRMku3Ik0uWOGNZZ7T/CL+TicQiEolFTduSXQN0jJ7EGPeQLLo4XR55P4l1sEACGyYK2JUcvVYK366wN53C7umpiYhp78dLsXz5mVFK5Rk4a+Wvsji7jDse/QylhE/GKuKbEhOTIflKZNXzA0NYXo8VRq/Tkx6JRxzuT9zL6t5NTDwY3bMWdyRjK/cp2CbLhNyPRZpOcyF2nDvQ7qxbwROrO6gMRtecf2CKyoEpik+O1vZbz+DevCCERGwZOBf4KJHL0MuBPcD/B3zEGDM8x34OisiFRFWprwIuJirB+6/Ah40xO4/GuY0xd4vIeURWixcDOSJ3po8Cf2mMKbUes5AQ142KvAUhrm1jiRAYQ9HywHFJudHKTcXJY/s2VnkCPzRRyfYwqu8QGkOxMInYghtfOFX3HQgIHQs/8v+ppXLz4oJzFTuq+ZCwMowXfVKuFdepMLVJdWgsKibEEisK7haLMKjUVumjDEZ2ZBEQKAYhCRNni/KLBOEkFRFcr4NysX6js12PsBS5F1m2g4Qh4jiIsbD9PKFfwbiTCCYWJVNUijswkgXjEhonPn+A7ZQJ7YAgbOOXbNu4QBBbT2wRTJhEsGpCpDGCOkoJW7ViuIi4gF9vZmyidY/6e3GdBCXHwhQnKBx8lFHGMFaZsgiZwOCkxiA1gYhgJCTtprBcyKQiARmdzMJxGooDHSPSmboIqAa3AgwWF2PMwaiAmR8S4jDFBrzEGJaMQrlhtcRrH5OQ6UkyMZHDKu3H8lysjmFyfh9FN8VYaPCSaSwmCU1Ayi0wksqRHS8gYUBXah8FogxjFdmFU9pHZWgb+UWPMSEuZR8qGYcQh7XpM8klolXY2fzY94wWp23ryXpkEnO73VrpNKtfeynpb92MXenHtSHzgueTPussALpzsPa8JQw/5kGliF/0GBkegsUdnNp7KluGtsDyJVi7RikVffaNLqHH1OMCfKv+Qxh2T5Fc0kU4WqG8KxbSImxcvJ7dmf2IXcTJJfBcj7HMJBWpf1d+WXyAVUECy0yBRFdM4dQK0gXdbn1yXKL+WR0Ni0S9sz7SY51MuJFos3HpYjFs+xGc/Gq6F3eSP6WHfQenYKLC0GSZpJvCEuhclGayFJApRz/Kri1IbmDW06Wybs3N0TjxY2goj3sExWiV2gri5MoGelYPIIWAky0b3wrJrVvK1kdHWGP6SXc7bLxgKa57ePEQzwRveY7yrgnWdq9gqDhKUSokuh36Mt2ICGd6z2O8dBpZL4Pb0z4zzmFx8qvhwOPQubyWVjexIk9iRR5/6XkU730AZ0kfzimrWfSza6NjpnbDjmjV3bEsVnSnmRh+mqc7L+T+XaMsHdtRy5o37jVPDM9d1cU926Kf660HJtm8odW1sFnId3ScjWWlGC3fyFAx+g71p/tZkl1CV9fz6Ow8DxD27v0aU1M7sTIujNZ/2u1UkrVrfoedZY+DE1+qLfIkbBcr62If6CLX2ce6V1xMNp3DcS2Sro2TrXAg38FTpXG6KVAOS1Ti37UwTDHknhKtGvu97N3fw+r1PSxfnGfXYw9hV7IE7lNAgJtIkunqJpWPrsm+vssZP1gvYGiLzUQnuFkPKQYYNxnlZw8rOMlxklYZK+nStfwUnPWvgIe/gZW06ex8ZS3pQG75JPnwaZLuSaxZtImuVVlKg4+Q86KVWbEdDkzUP+PDIZV1SXckKIyWonlFnBLdxDWMHKdMKpsD6p95In307h92V4Kep5/HeOIppoICOdOJl7aojO3HVKIxpMdWIU6Jdeecz4ZzzkZEcByHBx54gJGRkab+Fi1aNKuIqDLQ83wynb9kYuTHFFM+qYJL0S+R9yBrNjHu9vL4SY/Qs3+SpUPdlPwStm8x/ou9nPy8Dbg9Weyk37QwlWIlKTM9MYPTXV8EtfIeVsohnPIxfsjUAwea2knyWS4kAIwxO4B3zLHtjNE2xpgh4H3x31E/d8MxDwOvP5xjFgoigtXRgSkWox/GQgFHBDffgY+Q9GxEBM8RsLNgWSQcn4IvYEq1zEZB4NdWYwBc141cm4IAWyLXqZoJVKDs2YjYeOTjcUTHTVVCXNfBtys4vkVgAgrlMuIEBCbAEhcbQawcoRQRwPcDjHGJMkdBiBAApaAUVa8OicTA1BhhIlmbONuuiz8V3fjEcpoSL2Fin6FyBnGKGDu6gUkYYChhKGFJmtC4OM4EYhlst0JQqn8GYglYFm4+j1upQLlEKILxA2yafeTFxKcEQj+sXY0igut24hcrEJYxvgNhJeq7AYel2JXdmGAKKIBdjkzjrouxBccdxA9CEMGv2CzK9hOmmoq+g8i0lZpjQTqZwraEIDQ11yaAyWAZeCWscCeVECbMyRhcEqlTgbsgru2QIseiZe9Geteze/eXKZWi5W7bTnHKGb9JYbXPQzf/LeKOE7pl7K69UUwPIcnUUqziU4RhSNotcCBtyCcn6ew1iNdJItxNAScKmB38KZJKkvMqVJhivCu6WfuSppv+2v/XbK5NU5Vg2rYV3Yfn2+stX87Sd7yRqfsfQDyP1JlnNu3P96ZwkmmYKlIpJxkZ3Aespi/dx5s3vpkvPvJFhseehzUVEoZpbh+8BYn1gxGXUDwqYQXXcpG+MsmB7sh3thxd2x3JHOlkyKB8C0MSpz9NwRgoB1A8CMlOJnNCKWmTKEb5FcKEi5+LAoi6nboLQon6D176aFkkABJ5MnTSxyoMIVm6scSGg/U6oPmeFHt9H7IOO56aYKLkc/LSPJ2L0jx2cLImJFKeU/PrnwnLtkhmnFphrdr2jhwnTaxjwp9gf3mQiqnQ5XWQWpKj7NocGC3jlwIOPDoCgIhFV2/+uIoIADvnYec8GC/Tl55uBXEsh65UtArqdB2+q8o03BQsPr3tLmfFcrIrYr96YyILRjB9ZbsvlyA/PEKqMkzZZNi9PwrgD8Wm1GBJdW3hgtU93L9zlLIfMlKoMDxZZmiyPgntyUy3COZym+jPnYQtUdKQrJfFtpLk82dGGQGBRGKAqamdSNKuLcABuNk8IsLm9ddw+767OTj1FAmxSBsXLAjsFaQ2nkTHmsWIJThOmoQT1VaxV2xkcArGziiTObAVKUwyOdrDyOhanFwJKzWCyXUBwuL0AJ2dJ7O7OIblOxgp0LXaIZ2rx6X09b2IpLeWrQ//F6E1HsX5GQtLSux+4cnY96UIKhnS2w9QGdtFIjNMxjK43d0sXXcx9G+Ezt/GnTKUf3YwsvAtySKZyIU1l3TJhfvgoRsYHy2SH/GwwuVguxyYOLJ1U7GEk5+/mJGf3cLk1kehazX7/A2YMMB1SySzE2SSKVaf0cfW+wZxkw59y4+e9dzpTZHqW8SKwddQcvYgEy7j8ksy+U14D6ejVLxBBskeIHXG6dgN7rlnnnkmQRDwi1/8gomJCSzLYsmSJXM+94Wr38Sdj+yiGOwgUXSgkqPb/xUSuU6+n/4eCBxcNMklp17GlrvuwZQCgtBn9LF9LHJSkJt+H7VSDuJaBGP139dGi4SI4HQnawtGjQHYyQ31bG9HwoIREsrxxXJdiH/IrHSUn9sRYdqtVgS8DI4HXrFIOaxUSz9EOdodQWyHdDqNZdn4vk+lUsG2BPGD5qylcfCxZ1tRWrmwvtfCAalQSviUTUAh9KmufRoMlthYlQTGKxPlVoIwdOJ0s9ENf/nilfGQhdvvvI1Vq1ZiCCmUA1zbomJ7lAsVrrryJfzozjsA+NynP8vVv3o1JjAYK6Riyvz83gf45899lp/c8z/s2z9IIuHR29PL+g0ncf75F/Kud72DRD4SMYLF+RddxI6d04xdNf74Q7/Dj+68mx/9z91z/v9529vexj//f/9EZNuq+VnVV0SNgXIWp1QitEKsxChhOEnRTGJZnQS24AU2IYIDVIou2USaMZqFRHfyFHK5meMhjhbiJkl7NuNFvxZsHWFxy9ZNLO48C0uEqXh82ewqFi3qorhzK5Ckg36s7ACIRV/fS9iz5yaCYIqurgsjn9cOG8mtIxy/DyuVppgYwS+HWOk0Ce8UsjLCWHEILznJ4hWPkrVsPBwgDSZFMhzD2Ekc7yA5O40tWSSfrtVLEauHqv6xXaspm08rY1OVadtW9hw6w1MrVjpN5nkXtN3nejYdXWlGhocwCMO7BmvucZ3JTroS3QyVIAxjpZxsFje+laFQKdCR6KBcPoiX7SV5Si+FX9TTAI7LzzEE0QQ07TI5kYJ9D0FpHJJ5gsVnUPYGSLgTOHiEVieBE13TXU70o2swTAYOcT6HoywkslH6U1p89f0SVIoQf+cAsIVwZYahgyXWnt1PIuXw1IEJsrGQ6Eq7kDu0oE7lvGlCwtgWYUearlGbDjtP2ZTp8zog4/LUT/fhl6YLy3T+8FPfHg2c3hTBePMKspVySJ/Vz9T9gwQTFewODyt3HEWOCKR7YbzBjdF2ILcYGdlBXzbB4vEH2J+tuzC52V7edMEqvvHLXUyVAzYO5PEci+XdaZ7cH02Ubt6yr+k3ptUiUSWfP7O2MAHQ1XU+tl3///G8KN5DENy+FP5wESvt4qZj0WU7XHbxZ5nY8xN+dNNtVKSI8ZOkKn2klyzHiuNych3LmJrcgusIicwouEvp8G7BT6QxlYCKiRbtbMsiE04xPOrjlic5+PAkldPWUZyM3pflL8X1RmrjsyyPbHYjIjZJ+zSGp+6lEIxQDgDxSYTbmTptDeYRFzfnYU84dPQIdk8/TucA+e518RvNYHuQOsMiHK/gLstCqUHcxf8/pQC8cIruqa0M5xcxXChHSVWOIImCRUD31M/oHgC4j0XnnExpz5NYVkjZyZDyHDIrcuT7UrieVfssjwYiQur0PngAvP1R6tqM2YQkBH/pfsrbtmElx0isXYPd4s5UtUycfvrp7Ny5k87OTjKZud/ju1PdvPy0P+J7D36cA9YoQXk5e809DAysoDwe3V96U70MLFnGfWc+SHD/CMkply0Ht7A8v4y+VD922iH7/KWRB8d4GSvlUHp6vElIWC2xWk5vqiYkam08K7K2PQNUSCiINbeLM5lMYkvI1Hh1BcJEVSMR7MnJSIw4SRzbxQ8CUp4d+fsZgx/Wc0s7lpBNuowWKpTj1R0LD0tKRHWXDWHDeY2JMgOJ6xLggClHrj7GBkuignnxAY7j4Ps+X/7Sl/mDP/r9WjXrip0gdISHtjzEj+68o9YOiSaGuFAIxvnSV77Cb/3O72KM4dIXPJ+rXvkykimPp7bv4ic/uYfvfe8HXHnlFXR2rIk/vPo43/Pud9PR0x1ViXXdKANUaYyLL7yAFcuWc+mFlyKOSxBWMGL49n99hwcfeoiXv/TlnHnmGbgJLxIIoeGM088kDOoF9RwsbDtNRcaiD6TiUH58L86iqAaduKXYMgFlB7xQ8G1BQkGMIQw9Elazu4JLgs7UephDlqhnjJ0g7UZCwgmbJzITJZ/H9zXf3HIJl4zTTyZYFDuwe5CMfrg9r5tly95KGJZx42xXIkK++1QGzcNIYJPqzBNOlrCNhfhd5NzlTAUFJFGmI+jCZAQvDLETDqP2EhzG6Rgcp99OQamMpPOYrhQMQzDRTfnARRAvoCYzbts0m1VG2wiJpZ1HwVWkhb4leXZuhcBAebvPlgcOcPLpfRhjyO8fYMiPJ0e2AcdAUIEDUVbqoDNNwY+ERKk8SJYNuL0p0mf2EY5XCMZKlA8MRkkXelJ4iX4OjB6IRARAcQzCgKl0J33BerIJ2DOUBSIf7G47hTGGB3ePsVPSEKeYTx9N1yZvltXJ4mizkADwLMziFKmeJJUgZMeBMc6uRK4wXWnvkBYJiNwx2vnZlnMeTtHHLgUkJUGhFPDIT/dFbhttSHfMHi9zrHD6UpS2jjZts/MedsYlc8FigvEydnb27/cxIdPXLCQ6V8HAqTCyg75cgv4dj9I/GWVe92xh0/o1pDuSvOP5qxgcL7G4I7q+1vVla0Ji1/BU0yl6Zsials1uBBECf4JUaiWJRF/T/lRqOZaVIAxLWGkXL66dYDfEFontkVt2CT2dB9i9fRARyC1ZRqavwWqwbB2Fqa2MTVXIZu8ny/2YMEFPRxcHSwbfXoSDS2gMpyzp4vF9B7EzLhNjozx8912UJuOAX5Mlk+ukXN5LaEIqpVU89tgTdHZ2YndtYP/TBVId92FZFSqhRWpqB3beMLYigewLSfZ1kV6ZJkhn8G0XYzqb3q/bl4bqR2B3R0KvIWCv7Ef322w4wQQ+xsAvto/gORYnL44E3ZyZ2Nf00t/7QK3mkuWla6leE23iKY4GYgnJjT0EI7sJy2GtblRizVKSJ3dgysOkzzhjxuMTiQRr1649onM7To7Fi1/P03t+EqX1ocjoeL1qwCm9pyAi9HcsYkv3HgZ2uYQm4OnRp0lYCXoGIguIiGDHCxPe8izlHeMYPySxJvrulYIS9+y9B9dyOafn7Nb/TuyOxDO+3lVIKIeF5Uz/AazVQTMGqUyRsANCK4ExhlTCwbZtJiqRmIAoe4YlQsqzKU9FG/1Q6Ex1MloapRL6GAxh6GJZUVyERRrLsXCtTkpTk5iKASvKfiJi1W4AvX19LOpfxI1fuZEPffC3sdwkoQWBXaESlvjiv38BgJe+5OX8v//6VtP7GJ0c4w/+6E8QEb56w5d48cWbSaR8ipQpmZAgEH7201/Q09NdzQDbxHuvuSYKmKWCl/ARLEwQEE6VwIBTyWF5CUrBBKExPP30dh586CFe8dKX8Zarryadz+CITVCIJqKlct3X3rYCEqksYcnHmGGsIAl+AldiIZEcwQ4noBIV94v+O8J4nCG2ncJtca3ySNf8Uo85TqIWaGuHh/apzSYdmGoIWE73NKXhte0Utt08Oe/sXcbBg4sJnb2UDARYcSh9Dlf66E+PkEv0MTweIq6P7y0im8oxOXSAINuPWXoXS0rpqPDiurVMFHcSVFKM7TqbdKoeG5A6RND0WLHZReMFJ/Ue3o/rHOlY3IXn2ExVApL+GE/cv5/uuGqsM5gD9kNxBBjEnSjh+0UoRJ+p71YYsS0WZxZTLtd9ZauTiEp5HPsJC8fLYdk2ya4X4e/5j+YBBGUO9k+ybMdaDhRK7O+N4jCybpZOy2Os6DNR8vHTdTeZ9CyWnMMmMZuQGIHcorZxKSU/ZHiyTKawC8GQcm2SHX3TitG1PWW6eeWub0WOwe3jYAmdz1/K4M/34ZQCCmmXoEFEZDoTFMbKmNDEGbLm56fXzntYCZuwwUpi56Pvs1iC0zE/lpJqlqcaXaugbyP0bSA5+CjLu1LsHy/RmXJZ1p3G64xEX8KxWdZVdxvctDjHzuECD+0ea+quM+2Sn2EyKiLkshtnHJptp1i69I3s3/9dSqV9Ddunuyvmlm1k8WQUhCw9q5pqzXR2nk5h2aOMjj/OWDFebCiHpK0khUQGyz0Zc9JS+ooP4dgW3dkU48XoO7TrqafojK8jL5miv38ze/d9jx07DlIquojsZvfuKLZk6YaTKYzvoVSMEm2YyRKJ9CA2wyxdsxixU1SSNr7lYInHtm1DnHnmqhnevAvJTpiqy+dSHKPiORZ5/wBjrOSuJ6J7yOhUhUvX97XrqT3jkdVovFghm3QI9jxY22V5h+cOeqRYCZvkhm4KDTEDidUduANzd1U6UtZ1rePeffdSCZsXn1JOivWdUamygcwAP8s1/2buL+xnUdfqaf1ZCYfshYsJCz52ZzQHu/npm9k+th2AjJth9cAiKnvqiUjto3DNH/1fN+WExmqZeArT6rJhB2UySY9sNks6nSaRSNCR8nDtKNgsEU+qGk2hlSDEFpvuZDcpJxtnM0oQBgnCIINgRwX0RCB0IA5aNiLkE16UzjPmzW9+M/v3D3LzLbeAFVJyQyqmRKVS4aYbvsy5553HupNOah60gS1bHmZ8fJxNGzdwycWXAoIJhbIxWKFgG+G888+is7MjqpgdBkiDtK9XsS5HY6tEQU1iWbX87MYvIL6PKddvDGGUx5ZisUjYYEo2YYNdRgBjSOIiWFjGAj+FF3+EYkcuX2XHxiqVkSBE4viUMBCSyXZCInV8rBEATqK2Gm2b6Sv2rWQTTi2rCwDeodP+5XqS2MEpABQnKzWlJyaPZRZhi4UbOpiizeD+1zI59mISwYvwyydTHj6NciJD2JvG68/jppMkrFMYHtpI4KdxGiaZyezMk8Dqj2KV37psHeetOjZZeTrWrmVgUTGqphIWKY/uZcfDQ+x+bIQOr5Osk0KKY5zbI7y57HBOscSFqcVYIvhjQ0yUJxgvj1MuD2JMwOjYfYyM3IMxARX/IFbSiSaXXi8/2P7Dmg/7MifLpellEFSoeCEPLn+aJ5bt5WDfJI7l8OJVL8YuT1CJrY1+g5vI0XZtmpFitOrezt2iVAnYO1aku7AVgI6UCz3r5nTKbHf9vTgJm5Wn9bLilB7WnbOIpRu7cJflmOpLE8QuBWJFaWZPfsESNlwwQN/KPGvP7j/+K/4xIkJiTUejJsc5GoHVz5RMSzrp7tXRwsHJr4YlZ7KsK83ZK7pY05fFs63IFaoNIsKLTxlgUb45xmPDotwz+sxdt5POznObtjn29O/fZCmFtfwCZOnZYHvkexuCXS2XRf2vIJdOk3RtBKErEBzLpj/1EhLuStL5LM+/4jJELBJO/Vopx0UySxWf8RDKZY9K+XzKpVOm1R0Sy8JL5bHEJmmnsEsGp2RYU8xExVbtMRL5qF6HWF0MDzdbqKbR8n9TzYCe8Ww6/cGmfQ/uOkRfLZjxPWzZO8aWveNs2TNOpeF30U0eXqrXZ4KzKI27KBIulmdjdx+FGKE5kPfy/OrGX2V5rrkOx1n9Z+Ha0aJFX7qPwA2ZStd/V/baB/h+8Xb+7aF/47Hh5trHVtLB6U5ysHSQrz/x9ZqIALh95+18ZeqbDBXryTdUSCjHHREBqz6REsdD8oshv7hpRU9M0HTjdmyL7oxHR6puNrctwW4slBILBddKkLCy+JbBhB5BaDFVDqLK2gYkrGZuAizBNRYJv75S+CtXXUU6neaGL30Vx6sHNP/wO9/nwIEDvOktb40yMjUQmpDOnsgUuHfvPsYLRQKxMRUXt5xCwihZrW0ECOPiDwESJe4DIAEkkwkcRyAI4yJ8RGlrjYVI1LaanclUU92GUUpZE4S14n7QXEdCiIRFWC7X089m+sltWIezdClWPk/FcwhFwARYtaKABr+UIN+RjOJQGnBwj6NFou5m4gZRJqYL17bPQy8CuaQDlYaMTe6hJzvpvIfrLq+JCYhERKYjhxWuREwfwWSC0YMXARaVeHU46SQxfoLRkbMg7CJHL4tGHHYeeAzK0XlTbv1HLTmDrzXARNGvmY2zCeeI/IbningpVj3vFAYWP4nrFmF0FyY0lAoVLBE2Zpbypo2GCxYLWcvlguQAZyX62OB2ERoHg8Xeyb0EfoHdu2/k4IHbGBq6i717v8Xevd+snWe4EkRZbUIfWywuSA6wyslBXD+m6JUp5Mog0JfqYyAzAJOD+PH3f8qpB/IdVdcmN9NkpWoiFhLt/OJLfsi+0Um6p7YBsWjtm3lFupFU1mPphi6yXUnWnd2PZQkDazroXpJBRFh7Tn/kKgkgwrpz+lm6oStyvetNsfr0XnLHaZIyE96yHNmLl5E6pYfMuYuiAOz5JhfFPwGRQEzH9wbLhg0vg7Oubm7fKjxaOGN5R9Pr9QPPPEjXcTubXtv2dJ/4/lX52neyb2V+mnhx3Q66OjbTm02wpCtFzsvjVd5CSjZx1opO3v7ik1izZiXrL3wBPYsGyPdGPoFF38cYw57RcYqWy/3338++ffumnb8+1gG8ZArX8uhP99M7mSQTJ67AHsGr+fNHn7Pvz5LCNc5mZozhkQMBw4mlACRcmxX2wVryFYCyH1Jsk2xiJgZ3P814bMGdKPlNgdtO4vhYJCCOlzitl/RZ/WTOH3hGqVAPl7yX5xVrXkF/Ovq/7kh0cEpv/TfMtVxW5lcyuGgC3wkpZCrsXDnM9ontTFYmuWX7LRyYOoAxhi0Ht/DA4AP4oc/3tn2PvZN7p52v4JZ4PBtVh7ezblNA9pGirk3KYWO7CYJSEKUOTTbcTC2HWqq2cG43EyfO5APEVaghDKMaEyXbR4yDGIniLIIQOzBIgwYQLPxSiN0Q55HP5njNq6/iS1/5Mvv27KVj6WpCY/jyf3yRXC7HlVe+mn/8h09Fx8fWkcD2WblqOWecdTr3/eJ+XvGqV/L2t7yVS84/lzXrTyKOHcVC4mJ4sftQww/FP/zrdXT1dhKGJUxs/u3syPNbv3ENltR/rG2xSbjSEF5hMCaM3JIIsatp8Go3aBNlxZmcrPs2ilBYvo4fD/+Q9FSRvmyW8vgwRiDAJxnalAlxjMWUBV2JFCJC2nRQYBTBIk1Hkyg8pqS6cR0nWv2dGmNlh815q7opVgJ+sX2kqemavixJ1262SMxBSIgIHb1phnafg2X6Ca2dWOFJ9K3IUdxSQfyXUSz7+JVokmnyDss3dfPYvuhGGkwuodJVoc/pw58s8XRlHErRj2hXqi56ZsvY1BgfMZMrxdGkY92FyN3fJZ8/yMGDScqlKbxE9Fl15kp0JadPEM5I9LKlPETFJBmvjGMwTS4bU1Pbm9qPh/GPauhzmtfDIicdFZcMi9Pc+9LVWh+TB2oWiYJXt8gcVYuEZUWTT9PmXhMLib5cgrNWdDZ9x4qVgML+bfSH0b0qne+C/NzdGJau72Lp+vZZTlJZjw0XLGb/tjG6FqebXFsWElbCxlty/FZ8D4mXgfUvgcFHYcXzpgvEzuVw0hXw5K3Qe1JdaMzA+kU5fvzkQcaLPks7U/Rmn/lkyXWaxYltTxeEi1bmmRgq4iZsVpzc3hLZ0bmJfdv2Ecoe7PCMyNoOnP2Slbjx9dGzdDkdixZz5513YsKQ8aEDPDk4hJdKk8xmKZXqE27XdbnwwgvxfZ/t27ezc+dOYCnJzFoqpYcIjcEWIfAehTIku0KCoHrlRm5IpVIJx5nhfrX0HCiOMTxR0CGEUQAAdy9JREFUZE/ZiVwKJ/ZDUGZ9t83DjDJE/XrYN1asJZco+QFBaNouIJigwp49zUlKGtP1Ovn+9uM5RogIbu/8WOcssXjV2lexc3wnA5kBXKv5N+aKlVewrWsbkydN8OPdP2mKzQxNyC3bb+Gs/rO4dcetAOya2MVoaWbr0BOdu7h8/cujTE+tLiVHgAqJE5yffvupQzc6TMIwpOL7COC6E/VVl6ASZUwBsEfm5HNc8sPahOOCK6MA5sBERegCMUy6FVK+wTEJKoHBcaRhpV4glKjKqpOMtwgeFv/rzW/l+i99ka9+8Wv85h99iKe3bufO2+7grW99G+lUsnYhWq6NnfUYnRoFgX/5wj/wu7/1IX581938/h//ARDdqE8/7WRe+YqX8q53Xk2+M4sjASa0KDcUr/vHz/zTtPe3YsUy3v8bH0AsCxPUV9gtsequUCbKRy92XE+iElW2rLk21WJQ6kFS4jj8eN8jdKR3UixCSnpq7SuhwfJTpJwSFj4HHY8uJwG2Q6+/gjEOkCKHLe7xc22yHcj0smEgYLLkc95aG9sSNm/o55QlHVz/k6drTS+qWiqaLBJzW53K9yYZ2j2BZZZjBZG5ONuVINeVYHRwCs+u3zRLeYd8b4pk1fWmlGPvUBq/T9hpJiiHYWSRCIRdozZL7YC0Z5PMTL9t7hwucNujg4wU6j+EHaljn/nG9pJYnSvwgq143hRTYwfx+pYB0N8x0piCvUaXlSBhOVR8F08KlIJSUxXfVsaDao7iCj1xO0uELFZLDrDIB5cwhMLBupBwOoHIynT0LTQz/Ag2+HRv3tBP2Q9rfvMHJsowGblk2JaQWrRuZsvGEZDtSpDtOgw/cSViyZnR30wsOzea1M7h/8q1Ld5w3nJ2Dk2xuvfoiDmrZXJn2dMnncmsyykXL521n1TOww5PxqaeLa9zUbomIqo4jkMymSTf149fLhH4FbqXLJvWX29vL7ZtY9s269ato7+/n0ceeYRC4UKEHsLwx7X6BoH3KKnO1QyNjcUCJhIAxWKxKevQ/v37GRwcZNmyZaTTaZ5kDXvG91Dzjk1kcYtD5JMOV5+c5QcH8zwcX197RyMhMVIo88WfbqdUCdkwkOPS9X1NMUvD2x+iUJrZzTXbO/29nsh4tseazjUz7lvftR5jDFvHtk2zNByYOsDNT99ce/3UaH3et6FrAz2pHv5n9//UDxCw0s5Rc7FU1yblsLEsC8/zcD2v+YvY+LzB3DkbjYdULRNhaIjW/qOdoRgqpkhogjinU9SugoE49qBatVkkcqO68LxzOWXTyfzbf3wFZyrBDdfdQBiGvO3Nb8EyQVNeqFJYIojL0i9dtoQbvvklvvc/t/Gx//Mx3vy6N7BqxQru/fl9fOQvPsFFF7+Ep7ftiOIUpPnyefC+Rxgb2c3U1F4Ko7soj07w5ANPIHjg2NPmPLVK1oAJA4wJCf0KxUqJKb9xtdc0aAkBEcRzGZP98TZDoThZ+1yGxjuoDK7DBAkqpouSn6fHTUAijyMe3bKEVLWowBwzdh0VcouxRcgnXZzJ+gp4b9ZjTV/0I3b+6u766uFhWiQg+kFuTBFo2RbpnEeuJ5oAVyeyJu0wYcFX79vF3qJhquyD5bB9dzeP7+ziicoolJOEoWBVXA4WfB7fP07/ynzbFIRf//kuBsdLtWJZANnE8Umh6fWvQwS6uveScvfW/PC7Eu1dH0SEXitJ2Y++VVOVqbbtABw3z0g1S0Lg02nVFweybX4+0k46msSHAZXAULbTBLH4uOLkY1CvZKbfwckDsPPe2suEW5+kbR+aJFUZASI/byurk/5nDYcx8cknXU5ekj961dSBnp6LQYRUagUJ78i+z6mcO62qc3oGP/V8Po9l2/SuWMWiNSfhJqa3GxioF1IUETo6Oujs7AQg07WKip+iWPEJjSGV6yCRyVCpVICeWnxFo4WjUqmwZcsW9u/fzwMPPMBDDz3Enj17ms5peWk29ESLYfbkPk4+8D3O2v1FcsU97IuzOv5ixwilSnTveHTvOF/7xa7a4gJA4amf1p6PJptFgxGLzr7nlpCYCyLCpcsuJREvftlzWAg8re80Tuk5hWW55s+zFBy9uskqJJQjIi7d1mZrlVanh/ZYDT8MNRcnY6Jg5ri/IPZl8k2ZUuyXPSU+gcj0MRhwrGji/fa3XM32HTu47ZYf8uUbbuCs08/gjFNPq56tdsiUP0Uc8kwCG7BYt/Ekrn7P2/jMP/w9d9/5I+6+6wecd95Z7Ny5mz/+33+BiWtYNBMQmpBCyScIiCs4VD8aQZLNq75Se4ysLKEfUPErNMscqs5U0dur1ZIQfMdnvx8VSQt9n9GxXnbvXcnW3Gom0ks4OHUppdGNWMaiw3HbBywfL4sENOfpH6//MIkIrzpjCb/xwrU8f12D73OTkJibRcJLOpz8giXk+1JYtrBkfSdiCd2Ls0gck5PpShIujYTJntEik5JiuBBS8IWKCdgyEvBkcQJKacLQkJYsJucysSrN94ZH+fn25gSgxphaPEAjKe/43F5zi6PEAbbt0+E9zOrTeuhZnK6turej104SVqLsagU/svxUU+lW6et/CQMDr2WkHGfACSt0NQROZ9pc4hk3UzuvH4RMxRWuX3fOsiOqpXFoWq7CRivo49+Hh74OT/yQFHVL0e6RYl1IJJxDuskoSpWOjrNZueLXGRi46ohXc0WE7iXN10JmhnTAixcvnrWv5cuX10RDI+l0dL+0HQ8rdTnlcANBIk3HwBLKpXJs1a+7DhWL9QyBExMTtVi9SqXC8HDz/c5xHC6+4Cz6MvH9bfvd9BS3k/AnWDb2c/aPFQlCw2N7G+yVJmRs+CA/eixOST0xSOlgZIU2CE91Pb/pHGU3T2dmfmOJFio9qR7etPFNvGXTW3j9htlrIncnu+lL9eHaLq9a+yo6EvV7fDTvOTqoa9MJzvlXtjeVHRNCHybiyYtlzSkveyUIGYr9IgPTaJEASxxCU8aXkJLtkwhsAhMSShTibGNPX6AScOyQcmjzpte/gQ//n7/gfR/4HXbv3sUf/O4HokJ2TpFqoEUYhlHqtfjcSeNQjH0GQ4SyVLCNzfp1J/GZz/wV5557BXfc8WPKvoXttvqf+/iBwbIgCB2M1byAZueymHQSKhWC8QlaJ0HGhBik6QcqNAEm9CmFQsJx42iJiMDxGfT7SFplnDGX0dEuCpVxKqkE25lk2WQexFBIDeHaA+2z3NjHMdAy1/Cj2JI/XESaspQAhx1sXSWd99j4vMW1Am0QuRyctnkZlVJAt1/h2/c1CJlsgtzBfkrBftLAHn8SplJQTuFh40gKk7TBsSiUA+54bJB1/VnyycjiMDbVPlAx5R6f22vfwDL2WEmcsEixMIkpDCFTw/VKwZYTXZsN9Nop8IcoOCsoBMOk0ivp672cXbu+SNmfxEqfTCaznvHyOGFsXcyIjUf9/yjbxuqYdtMwFk0QykFIIRm5ThzV2IhG+jbC3gei592ro7ShT95a37//EQB60kWgnqkt5Y8AcaB1myrPijITjcXqjpSeJVn2Pln3YZ/JItHV1cVFF13E6OgoDz30UG17Lpejq6uL1aunpwCFyN3pqaeeIgxDvFQPXupCjHmcXbu2ACCsAFbW2lctEmNjY7U0sjOxePFirJZJfjK2+HUUd/FoscTWA5MUygHdha24wRQ9U0+RL+7mwPgmwg3vxBrfw0ScoXAktYLTT1oNDUaPlOfWakgo00k3LKwtzy1nx/iOtu02dm9smk+knXQtdmLKn6KrIbblmaBCQjl6SOy+Y4j9pIeiImKzZAZqzNoUhIYwrOdTciVJNmFR9CsU/YCKFeJiYYUOmKo7U32iCLFrkxPiBxadHR1c9Yor+dJNXyGTyfCrr3kNrlsGCWrCoVJLRWpw4roDUXajaJJUtkp4YQIsn1QuunkaY5DQZsr4uDS+t8jKIQYwDmFosG0hrISROEoZHNfFOA42IPFE025wkaqFXFhR7EcYhlh+JHhCY2KLROTOJNYkHaNPU9wrFBLLwR7DDwICz+FJd4SSHeBWnqDHjT/Rdnn3D5H95KiS6Y+DY+Pvhl+OCs3NxBFYJBppXTFMZlySGZesSbC2v164yuQcEvkegskhSHVFgbrFDJSTdJIAQkyi4f/IwIHxUk1IHJicoejYccr8kU+5lFN9OJM78EPD1O6HSe/+Sb1B77rahLpKj52EUpmS08d+dxWLB64CYOnSt/L1x77I4NiTrCv9gPVd62vHdIrbZGjsbOO9mHbSUbE6oBIYik5Uf6NdPYejwprNkXUrDOCkF0eiwMvClm83Ncsf+AV4seUmKOLGxRszqQQkOlp7VZRjSrrDI9udZGKoSKYzgZec+V6RSCTo7++nWCwyMjLC6tWryeVmz0KVSqVYvHgxu3btqm0TOQljFgEeIs1CYGxsjMHBQR566KGmbIGNY1i6NKqivHz5cmipBWSJ4NlCOTCkS4Pc+3SGfHEX6w/czJKOJAcqZcpA7/gWRgsl0oVRpuI8siW3k7NWdPKDzIZa0cGJ/nNmfX9KnctXXM73n/4+uyeaBaCIcFJXc5r7lFNfkCs0LtQ9Q1RIKEcPkfpEEaLA6/IkJPMzHmKJNFVarDSkP3Vtl+5UlrLvs3v8IEZCKoAngm1cas5PAlZDEK0ACS+gVLb5sz/6I1776pfR09NDX0+SYsWP5UJ0wnLsKoUx7Hp6F9//7x/yqre8FTefxIgQiqFoFxFC/r+//SwAF114fnQeYxE0OCEZ/OqTSEgYgxVSy5BRLlRw4iqSkk4jcZYMy3UQE6WpNbGUENdFXAuKQc1uUaqU8U0QBV0DnZVHcQ+O4kwYjNNDKGX8tAci+BKyLTdK/8QIq6sraImW/wfLgdRxXI2149XfybjwT+HA7NlyGm90ztEzc4sILz91gKcORFmwvvPAHliZQ8YzcNCKBNdwiIVFDo8JE0Ki2U1puCGo+uBE+wJ7x0tIiAhk+2EyWpUKnrwVqvEZyTyseSH0boAt34qy45Qm6LISWKFPGIaMVyYpB2U822O0MsVguQwiPDHyBF3J+opVV4uQWGys6MJtEGwZNwN+kcAYgtDgWwkskVrtmKNOIgvnvbv6QUSPfRunCQmXgGUj93AwsxY7ztbkWEIy33d844QUheiaXX/+IiaGSuS6k3Nyk1qxYgUrVqyY8zlWrFjB4OAg5XKZbDaLMYa4ODae57Fs2TKeeioKyi0UCjz44IPT+lizZg1dXV1kMplawDYAdipaIGzIzug5NuXAJ1/ax+6RAVZORZbJ3lyCyXJQKz5b+fl/UpzYVbuVpHIdZBIOOzvOwQ2LVOwUqb56ILoyO2k3Xcv4VPAL3LL9FgBW5VdF9+MGGoWEujYpCxexodHDv1KYVUgA2CL4VQuBX5+pVOMnXNsmbXfU5zB+WHNNEgHbsabdiC0xpBI+G9YtYsO6l8Rbo9gLq6F4XePqy+TYBB/633/On3zk45x9wbms37SRfDrBwQMHuevOH7N92w76+nr5+J9/JDqHsQgbYi1Mk0XCjspDNHwUxkAYhNOCda2UCxLG5ggrskY0CqOGyVuUejYkDCokdo9jleP4kcooxk5QTjWv8AuGXFzYZlqMRKbn+E+iMr11ITE5OLOQCIN6BjCRoyokIArIX78o11Q8Lp1ZCgefAASSnSz2faQijKcGoCXeYXiyflxj7vNGkscxF7mdH4DYW6zshxgvirOx114Gqc7or2tVFEPwk3/CLk3QYSUYDspgJdlX2MdDBx/iqZHmLG8/2/uz2vOulpC6ThwsY6LaJTEJOwF+qV6MzkqQ9uxjW4CttW/biVKEHni8vskWlo39nJ6pp9idOwOIrCSS0fgIZX5wXJvORceuVkIymeTcc8+lVCrVLBiFQrQ4k0qlCMOwJiRmYvHixXjeDFbjVFf9Xg4kHIuJEuRKe4AzyJYHSXs2Gc8h5dq11NhPPr6lqZtcR7SYdfFpa/jhliwi8JaVel0eDpZYrMjXReZgYZBzFk236qiQUJ4dtNaPmEPBM9uSWrBquSGrQ3UuLSK4tlXf5wqU6rNr22nMFjX7uURoqoJdxUE4+aST+OJ11/L9O37Cz+75Kf/19W8xOjxCKpVk1eqVfPADv8UHf/299HQtomQCCDxCq3kSKYAYGxPXvqjqFBO7cPmVMKrM2niMbWO7NuVyBTHgYyOVsOF9mYZ/o9DroDyFVa5/1mXjU+nootCVJWFlKIWTtWOzVSHRGiOROb55uqNz9gGxm80swcBNbk1O8pgJnozn1CxixsrS293FgaFh0tlFLLKzPHWgSCHdAyK84KRe7nw8+uGsWiR2j0zxaGNQYQNp9/gJCSdfj0caL/o8fbCAH8Ly0/qpRaZ48aTFy0Jpgk7Li4SEm+S7W78bxQrNgCCssdNNLg0iQt5yGWkQ0yICfhE/tsIFlkc6cRwD+qusfD6MbK+JUSf+/qQqI6wYibLFZBPO/FwDinKcSCQSJBoyPTWmeLUsi3w+z9jY2IzHzygiAPo3wdYfRc/XXkbiYGQF7JraztqDt5Er7aOvO7rnzJY5K52NXAtPW9pBZ8oj5dn05Z55HMpzlY3dG9nY3b7ApgoJ5dmBm4rcmarMIQ2sa1uU4hSTjenhGoOtXFuozZstiVaIKyGWLTjxhM2EYeQuUw0yTXVGE1K/PtkXiSpUf+iPP8AffvgPcbwkjuXQYScoJSyufPlLuPyqNxESWRvCSj1fc97yyFoJ6vMtQRDu//kdGLGxbCdyYwpdMIYQIbSiib+JVVHg19/fddddx3XXXQdAYWKCSjiOMYIJfQgDTOiANIZkV1+YaZW5S8uzFAb6CCfK2OKxNLGOXaX7cLFY68YWodZV/eQ8+IZnGlJtNqxmTeMZxkfMFcsS0p7NZCn6cr3gBeez+7F9+MMWtliMjA5BLPyWd9XHMVwoU/IDvvbznW379RwL5xhWtW4l1dFHSSzEhOwZjTKwTHq9/HjHFK9pzW4aW6Y6rEStOvVsIgKigL7M6JZp27uxm4QE0NYicdzJL4aLfgceuBGGt+E03kvCanxEEgZOPf5jU5QFwmmnncbQ0BCu67Jv3z4mJyeZmIhix/r6DpEWecWF0W9IIg+dK3DvuxmI7j19k48B0J31INWJ9KyHA//dtpt0LnKfFBFW9By/atbPRVRIKM8O3DQEpfpk3oTT/KhbqZpEW2lMDRtNyhomLLaAZZPIuPXKjEGlfl6RKCORCZuFBLGrkFALzMh7eWz/YJObU9pzKPkWDi6TVLAQMrZTS8UqDf9G77PBXhB6kWXBGHwBcYQwjPRP6EcB5a0ZKVzPA8uqVcQGQxhUsBwrKmYXhvihINXJaYO/U5AR/JxbkxaOePR7G8g5/Zw7USFTM+20TGznI1tNk5CYzSJxZBmbjoRswq0JCUl4nHfxeh6+azcjB6YIQoPJOTiW0J9LYMeV2CdLATuGCk11Ixo53pPnXDrJsNtNplwXZ6PJpWw/2CagLrZMddl1IXEoNnaug+0PTNt+frKfraVdGGM4s+/MaKNfbBISxyt71TTsOLXr8LampA4QXYu5DZfMj5hWlAWC53m1OhQ9PZE70fbt25mYmGDVqlWzH2zZMHBa7aWdH4D9I7XXScci6diQGyDXMZPlT8jlO4/8DSiHRco9NkJCo8yUo4vtRJPF6qTVcEirhGNbTSuGta4atnm21TbVa1MliUqDJcSJg8Fa05vaHk78tTfGkLATOJaDaXRDwiKXdOjLJejM99HvpOh3U9iRX1R86ka3o3rQN8apFckzgSE0hkI5YKoSUI6tEVPjZSql5lVcx52heJmBQFx8Y0fuPVUXn/j0pcUWpSVWVEsifgOelaUvnyRtd5MWi650/BmIFVWHhWgC1bue406yMwryBihNQDme6FazfBkDozubrRXHWEhkGlxvJuOUhGvO7MNOO5i0g+n0yCQcLEvoTNf/nx7dO1F7vn5RcxYV71gFF89ALumwO3c6YVwXJBCX/ZkNQLOVLxpcJCQ6rbkJiY3dG1mbbp/Pvrtc5Mo1V3LJsks4b+C86P/PL9W+64HlNn2+x51UtNpptdw8skkPb8W58zEiRVnQrFixgpNPPrlWi2KuJDoGml7nU/G9smMFqVz7RauKnSSv9SKOG01Zm3zN2qQsdKJiCtFzE1V9mI2Ea+OXmnPdN/74W5bQnfaoBIaSH1Dyw7iKdYM1wq8X1an5g1tOPbuEZRPaGexSkbRxMOKS83JgTJM1QqRey0G8NF41RenEYGTRsEIkALAiYRFbOMQWxK9fUoYoBWYtI1UQRtlrDJSnfCxbsB2rdk6oZ8+NRxJlqkUQp1loiG0wIgTx2wzD+nkSkuWitT24lkX/gx24Yfy5WDase1GU1SbTC/YM4uVYYlmQ7qrXGymORC5Xv/gPGJshf3m7QnpHkWxDatJqbvNkxmXx2X2ERNasbDJq053xalmaHttXj41Y1pVqen28ySVdDmbWMZJaQcIfo+TkCOIq1F/66XauOHkRizviHxEv8pOOXJsm2vbXlexiU/cmBjIDDGQGYLyh7kdjmrWJ/SzLLatXTfXLYEIqQUgoDkacY5f6dS547YvgZftXHnOBqijPJVLdzYkz8ikX+jbA4jOQsEJ/LsH+8RbXA8slMx+uj89R0k5dHI6Vx3jwwIPkvBwr8ytnOerQqEVCOTY0VkxuDcBuQ7v0kK0u5o5tkfJs8imXjpRLT8ari43SeH0G7iTqk2SRKMVpMg/pbiRe0fewSeHEtSjqQsKITC+EYzn1GhmA5fpgB9QcnCTEsoL49FYtsNrEFaujMU23uIQtK8WpZH1iY2PFdS2mHyciUQaoJJGPBjQFdiesLI4V+ZsmG7I/IXGFvM7l8zuJakxJV5mK6gDMJCIAup7ZTe5QtBMSALtG6qbfXNxm0+L2Gcj6883BgW1SsR9Tqj/GgeVR8HprIgKi9LTfvm93rXJ8tZ5ISuxo4h9zUtdJnNxzMr2pXl64/IWc2X9mJCIgqq1RpXNlg1VpvG5VgpqYLwcG34oEeHY+hUT3GnCjFc9FcQBn0rFYsmrT/I1JUU5AvI7mArSpU18Op74m8lJwU6zpzXDKkub7p2Mqxzajm9JE1QMDIo+MO3bewX899V8cmJolXnEOqEVCOTY0+uPPIeDasZrrScB0d4TG7cnGjDih3xQHMa3wmu1Ef0ST/mnjMqbJCtD2vCKRmDBRXQfLDiGMsjNJ7O5kTJwRygJCCOueUOBYEDQLqvJUQKUUkkg72I5FKpOhUvIxgcEcQnwZDGHD3DUq5Fd1bcrU34Np6EcWyMpPo4ipTM0eKyFWNBk8hjSumE+WfMLQ8MCuUX7y1MHa9moQ4JreDMu6UuwcbvYv7c22CIljON52HOrHeLIU8PTBSdb0ZWsWHhFhiZ2kKuFO6z2tLhxaKY7Un6e6IsEwHicimNwPphfGdtUsABU/JIiFxLxaJNwknPsumBxk1WPfo3fkACnXxl20Yf7GpCgnIJLtZ3Vvhl3DBfpzSbJ9zVW3ZelZ5Hf/snlbOLcYLeXoICJ0JjqnCYf7B+9/Rv2qRUI5NjSmfTWHtkiISC1FY+O2OdEoIhqtEe3O03AO0ygkavERQptwjerBDWODatam6NHEMQpxfER1Hl87gGm1CABMaChOVvDLAYhFIpXFS2abxglgu17T52GMIfTqr1stErX4koYCf3NJxXtcaMzCVJmK0nTORKYn+j89hlQrVAPsGytx15MHuOWR/bVtvVmPTQPRSpqIcOmG5mwm2YSD22I+yyeP/+R5bX/dBezM5Z3T9tfS1DakAX6+28OK/AouWnLRzCICmi0Sqc4oiLnK1Aj8/N/gwa/BfTcAURpnP7aKzLvrQjIPPWux1r+EfN9y3HWXQm7RoY9TFGXu2C4D687knJXdLF+1LnKfbeSkl8BZV9ditwD2d2kF6+NNZ6Jz2rbWLJCHi1oklGPDYVokADxbqBxac0ynVUjMNqymcZnYBBLWXZBkBosENL0nK9IPtcuvTICYMAq0lpYV6eqk3hKSaZfiREuqTQOlgo/EVhkAy3IIGlZrbDsBxhD4lfgQg2m1SMQntcVtsEg0fPatWZvmi0aLRHkCRnfM3HbFRcd8OIs7k3iORdkPGZosMzTZvEp2yfq+Jne3/lySF21axA+2RHED6wciC9iVZyzh2/ftxhLhkpMOkTrxGHDxul4822KgI8kpS/I8fXCS4UL9u/bk4ARjxQopJ40bxw31GYtXrngxOLPki4dILFRJdkYuTVUmB6EY56IPKhgMlSAkcBaARaKRnrXRn6Iox4ZNr4blz4sTrrS6CFvQuZz1z7+KJ++8CYOw6bzL5mecz2G6kl3Ttvmh36bl3Fkgd3jlhOMwYyQgSrk6VQkIzWFMPkzYnHnmEBWQRQQjghgDmJqYqCddlWmpIms0rOgLElkdYtND1E2AXbVIOFIv8O02xinM9lZMzZIhttPkv44l027MYcPcLzSmlrUJ4uROxixQIdFgkRje1vw+IRrn8vOjzFL9x96X3bUtVvdm2haWe905y1jePT17yWnLOsgkbIYLFU5dGlkr1vVn+V8XriTh2vMSF9CV8XjpqXWrwtXPW0mhEvCNX+zi4ESZSmD4/I+24ljCO50UGeJA69I4OIeoJNvo2pTsiNyZqpSaC1r5gSE0UerXhGtNs9YoinKCYllRDZdZ2LC0l+CSNwNw0pL2MWfKsaOdRWK8/MwShaiQUI4NR2CRsCyhJ5MgMKZtOti2BJV6YIXtHtJ9J5qLRzUpoqPiOhcNPkgzuzbV+7YgmtwH1caCMfUAbGNJXUA0dngod614HFbj+6imuW0QCsaYWr+esQFDEJqa+5MtMl1ELJSgtkaLxHi94B/JDuhYBv0nQ++64zqk9Yty04RENuG0FRFV1vRNzybVkz22bliHg2Nb5G2LU5d2cPuj9TgUPzTsKNhsrGru0mjkQjYTxrTESHQ2C/ZS8+dWbqghMa+B1oqiLDgsSzh1qdZvmS/aWSSeqZDQpSLl2GAdvkUCopuMa1tzj49o7Ns69KQlMiLUAxhMGNJYKdrU4h7aHdxyuVj1ZK2xp1N9WBISiqFVlRjMnAwDIhaOl8SyLBwvmnhbtlc7iYmzXFkGzjZRsR8/DFmeiHLj25a0fDYL6FKfKWPU4tPh5FcddxEBsKonjWs3/191ZQ7h7vMs4eQ2mab2lxsET+kQPyLlyXqhRycRiQhn5uMrtRoSHhlPhYSiKMpCoSMxXcRN+VMMTs2S9OQQLKDZhXJC0bgCbsKmDEkUx6LiY8/QLy/qrzEr0aG/ziLS1M40ji1qMPPCfatrEaZBPQhWbNkw+JTNJMVwtB7QXTshc07pYzsJ3GQOOy6qJ7aN66WiSt7xBM3Fpp8Mp9mbWJ64gB53Vf19LsSMTdDs2tRI5vjHFVRxbKteZyGmOzMPdTaOAUnX5ozlzT8ew0GyHmBXHGtzVAONgdbJjug6aLJINNeiqFskvPktRqcoiqI04VpH/3dNhYRybGiZsNeyBwWlaIXTLx16AjMXzJFkJWrIfhSG07I2zWgLabF4NCeNjbZY4RRiSggBBkNAs1hq8qKKsd25XYaC4HiJKGA8FjVufAn3Wt10u6tqweS21ca1aaEwk0Ui3dt++3FiWVfzuGoVwU8ALjmpj8s29tdeT5KmWIm/H4eySLS4NYWhmTWpQb2qdWLhBForiqIoAFy6/FLso7i4uIBmF8oJR+PEfnIwWrmsNFSf9kvPvHJXeHgWiWhcrSlgG2IPmMUiYbtRnnzLhlQXtu1gguqESjCBRyg+YkIsU0JaKmZH/Zsm4WA5gpdqP9my7OkDqY8trhkRVwyXFnliS6tr0wJaGW4nJOLPdD5Z1hIP0X2CuDZBZHE5Y3knq3ujOg8lJ1svvlc6hKBvKDj38MGQT9/6BD/bWZixeSUufBeIQ1pdmxRFURYUp/ScwrtPezc9yUMk2ZgjKiSUY0er4i2NT3dnmhqu+18fCU2r7nObLDelgC2Ng19siLWW2eMzknnI9oObJOWmEByMnyAMXAjqkyYT1bWmnrop3m7ASzqR55cFiZQTiYOWU4olJLMuyWyLGVKkIaKjbpFoJcratEBdm2y3ViCwRrp73uM4qpWPq5xIQqJKf/wey3aGyaqQOJRlsDIJRJnBHhz08UPDz3ZONWUJa6RaQduI1bZivaIoijK/2JbNuq6jE4+od3nl2NFuFTxoqaHgl2Bq6MgtEw2TZXETSCwERATbtunt7eWyyy7ji1/8Yv2YlloSjz36KH/wJx/hBZe/nLVr1pJOJuju7uaCCy7ggx/8IPfee2/bU7u2i2elsY0LoYM0XE5GIiFhWoUEUUB5KueRynlYcWC51RKULRLFObRaJVo1Ts0i0VL0z2otE76QXJtgepzEPLs1QbRqf/FJvThxVpFc8sSIkWikLxYSJTtLsVq0pTQ2+/UXWyT80OBbkTXJtzwqQZtsbLZLEBrKdoaR5Ao8FRKKoigLko3dG+lN9c7m0D0n1O6sHDvmugoeBpGlYpaK1G1prZMQ82d/9mcAVCoVHnnkEb75zW9y6623cs899/B3f/d3tdm4MYaPfuLv+D9/9UnCMOTM00/lql95DQMDi5icmOD+++/nH/7hH/jbv/1b/vEf/5Hf/M3fbHl/gGURWAmsMKxnbqpekyacLiTiCVur1UMsgaBx4k/bdq1ULRJinkWuTRAH6zashOeXzNtQGjl3VTdnreiauZbIs5xUXGU6sBKUTfydCCpRHISXbX8NViIhEYSGih0FWQfiUQoM00IgVj6fx7wcT41ahJaDpzUkFEVRFiQZN8MbNrwBYwyfkE8ccT8qJJRjx+FMXoNK8yTGL0YxFW4qiktohwnr4Q0NK+5//ud/3tTshz/8IVdccQWf+tSn+J3f+R16eyO/wL/8m0/x8b/+JMuXLeEL//wPPO/88yi6HXTlc7WJ5P79+/nUpz7F6Ogo7Yjm7xZxYlkgSv0qwgwxEu2xbGky1sy2QmCqhfQAN54MWjRYZqq16w4zo9VxZfJA8+uB0+dnHG04UUUEUI9ZEKEgDdfVT/45us7OfMv0mhKxkPCDkEpskUCEsmnz82F7FOw8oRXFQrlqkVAURVnQiAidiU6e5ukjOl7v8sqxYzaLhJtqDroNW1yeCsPxSunYzHUozNzqJFx++eVs3LgRYww/+9nPMLbH1qe381ef/Ac8z+O/b/pPLrzgvKjLlmDr/v5+Pv7xj/OhD32ozfsTjKnmeaofVLGjSs3SYJHwTZlSOE45KE/vB6a5Ns3V0liLkWisal2N81ioWZsABk6tP198OrizVyRXjg4pt35NTkpL0Ht5En55fT3DWm173bWpYtePmaKN9cJ2KTdY1lprcyiKoigLj2eSxWmBzS6UE4rZgmdtt3ny2Lgc3+qvbWYQEuHcA60bXYpEbP71y9/C932u+pXXcPJZ52EMhGITitN2Du84bVZfJbIwNFoPAivASBjvjmIkQhNSDifxTYVJf3yalSIa/syxEI0awHKsuFZFRDVGotEiUVtRX8iuTUvPhUwv9KyFdS+a79E8Z0i6Vu27NUFmesB0uQD7HmjeFgdb+4GhYtWv2WLYTkh4tfSvgLo2KYqinOAsmLu8iFwkIt8RkSERmRKR+0Xk/SKHL5NE5GQR+YqI7BeRoog8KiIfEWldggMROUlE/kBEbhGRHSJSFpF9IvJNEXnhDP2/XUTMLH/vOZLP4IRDrKiAVTu/aycJjYVRQr8uIFotEDMFgs4xK9EPfvADHn30UUSE8847DxH46d13A3DJ5hdi3DSTXg9TbtehszY1UA+Srv9VRUQ8QDCGipmqV842hqCNMJpukai/TqRdLFuwXQunpeZEuxgJq7EQYK2/BSYkcovg/Gvg9DfMWpNAObqISM0qUXay+GGba+up2+HR/4bxvVFGNT+yolVMFFtRZSps59rkNgVha7C1oijKic2CiJEQkVcDXwWKwJeBIeBK4JPA84HXH0ZfFwC3AC5wE7ADuAz4MHC5iFxujCk1HPIXwK8CDwPfic+9AXgV8CoReZ8x5u9nON03gV+22X7PXMd7rPmfG/9zvocQ0VT9ViAR+2eXJ2tC4aI3vTMSHa0T7TYB1UBzKtmGFfdqjESlUuHRRx/lG9/4BsYYfvd3f5eVK1dSKPvs378PgIHFS2KzQjwhF9i2bRvXXXdd06k6Ozt5//vfP20InmsTBoZQLCxCfDHVdxg/GvyGr5sB/NDHaSluJyKIJZiwajmp77Mdi1TOa+ijPvlrl7Wptgi8kGMklHkj5dkUygFlO0MlCKdbDcqTsPuXMLYbTqvfesuSaPpiTs4kJPz6991Vi4SiKMoJzbwLCRHJA9cCAbDZGHNPvP1PiQTB60TkjcaYG+bQlw38K5AGXm2M+Va83QK+ArwW+F3gLxsO+y7wCWPML1r6uhS4GfhrEbnRGLOnzSm/YYy57nDe73MWy6lP/BtXoMWqT3irmZumWSRmEBKN8QYNVo+PfOQjUdcidHZ2cvHFF/Oud72Lq6++OhpKw2TIGENzhWph27ZttT6qrFy5sq2QsCwh5dmUfQff9+tuTVINvm5102pvkaj2FbRbIW5H3KxmkaCNRaLR9WuhuTYp80YytkiU7Cx+MMv3bWI/7H+49rIkzXEshTZCIhAXP4wCrUXAOYED1xVFUZSF4dr0OqAPuKEqIgCMMUXgT+KX751jX5cCm4A7qiIi7isEqtGy75EG3xVjzHWtIiLefjtwG+ABF8353SjtcbxITNjxY5XGlfKq0JiLRcKE9fZCk5AwcbakMAwZGhri1ltvrYkIiGII+vsXAbBz124a5+4isHnz5loflUpLEHgrsVeTFb+PanC1M0Na1qpFoh2WU590tatq3UyctamNRaK9a9NCuNSVhUDaq7o2ZdrXgmjkyVtrT4stQmIicJtEOEClYW3KjWukKIqiKCcu826RIHI7gsgy0ModQAG4SEQSLS5Jh9WXMeYpEXkMWA+sAZ6cw9iqs8iZSi+fKSLvB5LALuBWY8zOOfR73Ljo9W+Z7yHMTqUAU3Fq1eoEu3Wi3U5IBJX6Yr/lHNZE2bGECy68kLt+dDs/uv1W3vmud9b2Hfa0Jx6DxCv+Ju7AjSdQwvSxzyQk3EQsCiRyZ2p7utiC0lrZ2mo4Ty3YWl2blDakGi0SlbkXgixKc6XvElHxuUarQ5m65UurWiuKopz4LIQ7/Yb48bHWHcYYH9hKJHjWPJO+Yh6PH9cfqiMRWQlcTiRk7pih2fuI4jj+L/DvwDYR+WcRmXMuSxG5t90fsHGufTyrabROBJXY0jAHi0Rjlifbm75/FkSEt7/t7TiOw//75te574GHGvYdVle1+A5L7Oi9WBbYTs1C0eraZAwEJiBs855EBC/p4CacGVdyG1eAXWNhMd36UJvXLeSsTcq8US1KF1ruoS0SDZSD5u9k2c4yXmwWxRXTbJFQFEVRTmwWwp2+I35sX/Grvr3zePUlIgngP4EE8OfGmOGWJluB3yYSLhlgCfAGYBvw68AX5jBWBZqFRBhEftlBiztROyHRFGh9mBWxgZM3nsT7f/8PKZfLvPl1r+Znd/8YmF4IbmRkZE79iQiOnUDcDNlEZ+3CanVtqlKoFCL3q5niP2agsb3bcPlajULCUtcmZWYaa0n4jUIimZ/1uALN6yNFJ8++sWLTtlbXJkVRFOXE5qi4NonINmDlYRzyn8aYqw/d7PgTB2z/B1G2qC8Df9PaJo6fuL1hUwG4UUR+AtwHvElEPmGMue9Q5zPGnDPDOO4Fzj78d/AsQ6xoFb8aGNxu4j1TjERjH4eJJcLv/cEfY4zhk3/1f7nyxZdx+plnc+5557K4v4+RkRG2bdvGD37wAwAuueSS9sNP2JipSNQkM2lSXhYxIaXiWLS/MQgauxZDUfALFPyo0Ffey5N05mbEqtegMLWMTWnPZrLBtakW8zHH9LjKc4uqRQJgx8AVrDb3QOdKyPbB0z9mx1CBwYkSy7pS9Ofi76XlsDe1rqmfopNnpFChWAmiAG7LodzwldPUr4qiKCc+RytG4kmi1K1zZXfD86qVoKNdw4btI3Po9xn1FYuI64nSzX4FuNq0qx42A8aYHSLyHeAtwCVEokI5FGJDm1iCGm1X7VsipA/3lCI4lsXv/9Gf8CuvewP//oVruetHd3DTV75MYXKSXC7H2rVree9738tb3/pWzj67vaYTx8JKOmAM4lWDS62oujSRK1I1f5NrJQkp0+ruNFYem7OQqFkkTD31a0/G48BE/TM6MB6HEmnWJqUNabd+29+XWgtnXxKJ+R0/pVD22TkyBcC2g4VISLgpzLnvZPjOvbWv7vLuNDsORo52Y8VKJCRMQLnBwqFVrRVFUU58joqQMMZc/gwOfxQ4lyhu4d7GHSLiAKuJgp2fmmNfMHMMxEnx47QYChFxidyZXg98EfhfxsxUUnlWBuPHzBEc+9zESU53Z2rEhJGlolEwmOlC4jA0HxCnWw0M605az0f/718DUWrMjtTcXaVEBPHs1o001VGsjV2wcIEyrQRhgD2HyX4YCy5DQ1VrS1jVneJ+QIzPplwxEhHq2qS0IenVvwtTlYBiYLj3qQOkrWX0NCwHBWGUuUw6llGyM7VLznMs+nIJdgwVCMSlUk0ha0xzMTp1bVIURTnhWQh3+lvix5e22XcJUU2I/5lDxqZZ+xKRNUQC42laRImIeMCNRCLi34G3HqGIALggfpyL8FEAvDR4s+guw3SXp6bXR/Y1bjfPOVprqFZD7Ec1c5MgyAzavRxOFxetVFPSVvGqGZtEWNWTZH1/lvOGv8Pzhv8fPPpfmrVJaUs+WRfKo4UK92wb5qdbh7jtyQm+5b2S3bnTa/sroYFEjlKlLhCSrk02zjBWsVNNVohKk0VCv3OKoignOgvhTn8TcAB4o4icW90YZz76WPzyM40HiEhaRDaKyIqWvm4HtgCXiMirGtpbwCfil//c6K4UB1Z/HXg18HngHXHdiRlpHGfjOUTkj4AL4/fTLp2t0g6xIJGbvc20/5LG1fYjm/7bbY47WmnvpcG6UA24FqwoTqKN4aQczC4k/NBnqDjERKVeIdwzcbpYwMbwig0Znt9fiSwqex/UrE1KW5KuTSYWAn5oeHB3PTdFxckwlF5dfx2EkMgxUa4nN0i5NmkvEsQVO03FD9kzOsXPtw/zwy37a+00RkJRFOXEZ97rSBhjxkTkGiJBcZuI3AAMAa8iyop0E1HQcyPnA7cSCYfNDX0FIvIOIsvETSJyE7CdKI3rucBdROlaG/ln4OVEk/9dwIfbpN68zRhzW8Prn4nIg0QxELuIYi+eD5xKFHj9FmPM2GF9EM91ROIq1zNouMJByPRFvtzQ1rXpcLHaVN1tzdp0pIjYCBKna62OVRARQmOmiZhKOHvhu8nKZEtF7HqwdVREO5hutSnXRYdaJJRGutIek6UoFmKq3Gx8rdjp+vNYSAxPlhuOdckmqkIixVQlYGiy3FrDXS0SiqIozwHmXUgAGGO+ISKXAv8beC1RgbcngA8Af3+YAc93i8h5wEeAFwM5InemjwJ/2cZFqrr81gt8eJaub2t4/jdEYuYyoJtoeXw78Gng74wx6tZ0JFgWzJTX3oRR8bpENpowN30lFp5FAiJzX+O7qYqUdt/m0ISRP/oMA5hmsWgIthakff2NqZGGk6tFQqnTnfHYOTw1bbvnWFTCVO11JTDgZRk60CAkMl6tOvbu3Gl079sKwL7sppa+NNhaURTlRGdBCAkAY8xdRJaBubS9jVlmj8aYh4niHebS1+a5tGs55vcP9xhlDohNUxHxZB6KDYad2mS6xRpxNC0SR2vuEwdXN461KhISdoqgTZKzwAQ40v6StMRqsUjUYyREiEREa8XsqYbyJ2qRUBroykwv4ug5Fr+xeS23PTYIO6NtlSAEN8VwoS4kujMemdgiMZEY4KnuS0hVhtidO6OpP7VIKIqinPgsGCGhKNMmu3Yiym0/ESfCCsrTrRHPYObf1iJxxL1NZ6a+HJK4dpQaNggDfBMJgNmK07UKiaasTVXXptmEhJdGUap0p6cLiXwyqqiedm0G02vpKTzJlNMJmX6GJp+utetKeyQcC8cS/NCwP7ux7Tk0RkJRFOXER4WEsnBoFRKWFRess6MVd2OiNLFN7Y58siLSajNgRteio0lgoDsRVREeK43hB368feZEYdY0i0I9RgKR6LNpFRKNZPqeyZCVE4x2FolcnM0p7Tk80XMp+zPrmVyxlpUGxuKiiyLQmXYjwZFwGJuaObbHOg7XkqIoijK/6JKRsnBonXhUJ892w6QnKHM0MjZFhwqJY7ZqKm2eRQRhXbo0CoTZLBLtqFkkoL1rUyPp3sPqWzmxySedaRaDfCpaV0p5NkYcRlPLmQxdRqcqhLEVMJd0ay5L1RSwM6FCQlEU5cRHhYSy8GkVEkfJtQmiSVMjx2LqY5kKbjCFHdeKCBvqQdgNQdBBa7D0ofqNR1uzosxU1C/VCc70FWjluYuIsLavuXZL1SKRaRAIk6WAg5ON8RH1GhTVFLCNdKWj/Z1pl1U96k6nKIpyoqOuTcrCwUlCKU5Z6iQatrcKiVTDQc9s6t8aENouAPtI8cSmElsZXISUP8aEF1kGAmNwRLCsuVkkpiUua6elZqpFoW5NShs2Lc6zZc947XU1pWvarf8sFMo+Ww9M1l4vyiVrzzNtLBLnr+5hZU+apGtjH8VrSVEURVmYqEVCWTjYbpSpyU1Fj1XErhdUq8ZJ1PY9s6+wiNCVdrEtIenaOEdr8iNCWhxcLByEDE6T8aSqC5osErPESJhpWfqbThV3MINFQoWE0oblXc0Wg87YmtBopRsv+jy8u545bU1ftvY808YikfJsMglHRYSiKMpzBBUSysLCy0SuOFbDJEWk2b2pMtW875me0rHpzSboSLlHNdjacyzy4pEnQdp1mmwnVZ/zxhiJwATTLQ8xrUKi8XWtiF7QWiIlRoWE0gbLEl522gCeY7GmL8NAPrI2uLbg2tOvg1zSYVG+binsbJP5KeVqvRJFUZTnEurapDw7sL26gDDNZd4WKkI0sTLx83YWCUushgrYkXuT3a54XIu+SEh9Qjera5Obgu7V07crCrBxIM+GRbkmAS0iDHSk2DFUaGq7pi/T1K67TeYnFRKKoijPLVRIKM8OHG96rlY4uqWojxFN+ZtiVdFoeWisETGTC1PjdkssvAYhYbULtl5+PgycHlUCdxtjShSlmXZWuCtOXsTDu8cYnCixdXASxxbOWNbZ1KYr7dYyD1dJemrkVhRFeS6hQkJ5dmA5kOyEqZHm7WIdtjvSv/7rv/L2t7/9aI1sBmYqdhcpiYYMsE1CYi4pYK1avqaWM/kNrk2WExXzU5QjoCPlcuHaHgBKfvTdTDjN1gbHtsh4DhOletphT6tZK4qiPKdQIaE8e3BT0WS5MUYC4c/+7M+mNf3Upz7F6Ogo73vf++js7Gzad+aZZx7TYc5EVADPYJBpFokqMwmJ6TESdQFRd21qERKKchRoFRCNpDy7SUgcj4KOiqIoysJBZxvKswvbnRZs/ed//ufTml133XWMjo7y/ve/n1WrVh234dWYcT5VjYWAkUIZPzTYDfO0GYVEU+0MmvxJ2taRUCGhHAc0JkJRFOW5jc42lGcX0ybIC3UFtI1rk4AYgxGYqtRTvZaCEDeu8zVT1qY5nanVtUlRjjEdKffQjRRFUZQTFnVoVZ5dWC0Tl2eRK4W0jRYHY+rvIWS6RcIY0z7da/V1u6xNlq4UK8ee81Z312pGPG9NzzyPRlEURTne6LKl8uzCatG+zyIhQWyRmLa5IUaiElQIwgD7EELAGNMQI6GuTcr80JFyeeP5yxktVJqK1SmKoijPDXS2cYIzevPT8z2EOdNxxcq5NUx1QHEsqi3RaqFYMMyWtal1uxAagyWCb3wOFg/SnezGicXAbNYIAEuDrZV5pD+XpD+XnO9hKIqiKPOAzjaUZx9uGpzUs8saQVyUrp1FAovQNAgCYKg4hCUWGTeDZ9ULf4lIkxSxLWmobK0WCUVRFEVRjh8aI6E8O1noIqLd8KR9jIS0pIOtEpqQ8fI4U/5U8w5T+we78TxhPYB7mguYoiiKoijKUUaXLU9w5uwupBxl2rs2tbNIEFskZqLgFxr6aBYjljWDoFKLhKIoiqIoxxhdtlSU44QAlrQLtj6ytK8A9kyWGRUSiqIoiqIcY1RIKMpxRNq4NgGzWiSajo+FQ1U+2GqRUBRFURRlnlAhoSjHhPYT/JkMCI547XdM67UqRaJ/1bVJURRFUZT5QoWEohxHrBksEp6kybqHzsPfmv51ZtcmLUinKIqiKMqxRZctlROSbdu2ze8AZpjfz+TahAhpN0UxKOKH/pxPoxYJRVEURVHmC7VIKMoxof0Ef6Z5f01fHCJWQkSiNnE7DbZWFEVRFGW+UCGhKMeRhARkpYTnWKS9uvtRVT+49lwrdcd1JNQioSiKoijKPKFCQlGOIxaQMQW6khbZxPTJftpJY4mFIHQmOqftlxbnqLY6QgREL21FURRFUY4tumypKMeEQ1TeDgPEab78jDHYlk1PsgeDqQkK0yAd2qZ/FQtM2HBqe+FX/lYURVEU5VmPLlsqynxgghl3iQhWbFGwD5F9ybYEcgPNGzVjk6IoiqIoxwEVEopyLDiUQSAMpzVrF2dtS7MoqKd/jetIiEC2v/kgjY9QFEVRFOU4oEJCUY4Jh1ASVYvEIZREOyHR2My2BDItQkLdmhRFURRFOQ6okFCU44XTUL06jITEoSwSVmvQtLTul+Z+AUoTRzxERVEURVGUuaJCQlGOF9LgcmRCCH2ssNKgIKZLibauTabeLkr/KpDMH/3xKoqiKIqizIIKCUU5JrRxL2oMgg4qMHmAZGUUNygATfqgxszB1g11JMSCVNczHK+iKIqiKMrhsWCEhIhcJCLfEZEhEZkSkftF5P0ictgpaETkZBH5iojsF5GiiDwqIh8RkVSbtqtExMzyd8Ms53mbiPxURCZEZFREbhORVx7ueJXnCGK1+DIZBPCCyfYqgumuTa3pXyODhDU94FpRFEVRFOUYsyDSu4jIq4GvAkXgy8AQcCXwSeD5wOsPo68LgFsAF7gJ2AFcBnwYuFxELjfGlNoceh/wjTbbH5zhPH8D/B6wE7gW8IA3At8Wkd82xvzjXMesnIDMWCjObk79KoAB21QwJKYd0iokQhNOD7YWgRUXwp77wS/B6ouPyltQFEVRFEWZjXkXEiKSJ5qIB8BmY8w98fY/JRIErxORNxpjZrQMNPRlA/8KpIFXG2O+FW+3gK8ArwV+F/jLNof/0hjz53Mc80VEIuJJ4DxjzHC8/a+Be4G/EZH/Z4zZNpf+lBORGTIniUX0VW/GCUtA9pC9ho2F5wC7WsXay8B574KpYehceQTjVRRFURRFOTwWgmvT64A+4IaqiAAwxhSBP4lfvneOfV0KbALuqIqIuK8Q+FD88j0izzg/5nvix/9TFRHxebYBnwYSwDue4TmUE5EZYh7spqDrZpJ2cvpzY4iMEXGwNUCyA7pWafpXRVEURVGOCwtBSFwWP363zb47gAJwkYhM9/s4jL6MMU8BjwErgTVtjl0iIr8uIn8cP55+hGP+75Y2yjHm3nvvRUS44IIL2u7/0pe+hIggImzdunXa/qmpKZLJJOl0mlKpxG233VZrv3r1aswM8QsTExPk8/la223btgGwatUqxLKQjiXNf14aSXc3bcv0Lufjf/V3gJlJR5D1smScDHkvj9WQ+SnK2IQKB0VRFEVR5oV5d20CNsSPj7XuMMb4IrIVOIVo8r/lSPuKeRxYH/892bLvivivhojcBrzNGLO9YVsGWApMGGP2zHAO4nMcEhG5d4ZdG+dyvAJnnXUWXV1d3HvvvYyNjZHPN6dC/eEPf4iIYIzhlltu4V3velfT/rvuuotSqcQVV1xBIlHXq47jsG3bNm6++WZe/OIXTzvvDTfcwPj4OI7j4Pt+bfv73/9+RkZGoDRe23bdF7/C09t38ra3Xs2qpfXA6EpgeMFFz4tfzRxwnfEyAPhB2LBdhYSiKIqiKPPHQhASHfHj6Az7q9s7j1FfBeAviAKtn4q3nQ78OfBC4IcicqYxZvIYjFc5CliWxebNm/n617/O7bffzpVXXtm0/5ZbbmHz5s3cf//9bYXELbfcAsDll1/etP1FL3oRt956K9dee21bIXHttdeyePFiVqxYwd13313b/v73vz96Mr63lo3ptjt/zNPbd/L2t72NzeedUms7VQkIwsgaMZNFopFpgdYQx10oiqIoiqIcX47KDEREth0ihWrr3/VH47xHA2PMfmPMh40xPzfGjMR/dwAvBu4G1gHvPobnP6fdH/DIsTrniUhVBFRFQZVt27axdetWLr/8ci699FJuvfXWacfOJCR6enp4zWtewze/+U0GBweb9t1///389Kc/5R3veAeOcxh6fLa6EIelJEzdIjFTYLeiKIqiKMox5GgtZT4JPHoYf7sbjq2u4HfQnur2kTmM46j1ZYzxgc/FLy85FudQjh6XXRaFpPzwhz9s2l59fdlll/HCF76QPXv28PDDD9f2j42Ncc8999DV1cXZZ589rd9rrrmGSqXCv/3bvzVtv/baaxGRadaNQzKDG1KcBfaQVCMphLiGBKhFQlEURVGUeeGouDYZYy4/dKsZeRQ4lyimoCleQEQcYDXgU3c7OlRfMHN8wknx40wxFK1Ul6Ez1Q3GmEkR2QUsFZHFbeIkDvccylFg06ZNLF68mAcffJDBwUH6+vqAyNqQzWY577zzarETt9xyCyeffDIAt99+O0EQsHnzZixr+oR88+bNrFu3js997nN88IMfBKLg7Ouvv57LL7+cNWvaxe3PnZqumCGgu5XGZvUYCRUSiqIoiqIcfxZCjMQtwFuAlwJfatl3CVFNiDtmKCLXrq//Hff1fxt3iMgaIoHxNHMTJQDVKNjW9rcAb43P868t+17W0GbeaefKs1B54Qtf+IyOv/zyy7n++uu59dZbecMb3gBE7//iiy/GcRxOOeUU+vv7ueWWW/it3/otYGa3pioiwrvf/W7+8A//kDvuuINLLrmEm266iZGREa655ppDjGgGO0Mi1xSIXWMOWqKxiaVZmxRFURRFmUcWwlLmTcAB4I0icm51o4gkgY/FLz/TeICIpEVko4isaOnrdqLMTpeIyKsa2lvAJ+KX/2wa8nmKyNnx/iZE5HKi4nUArTEd/xw//m8R6Wo4ZhXwm0CJ6QJDOcZU3Zuq4mDLli3s2bOnSaBs3ryZ2267jTAMm9rOJCQA3v72t+O6Ltdeey0An/3sZ+nt7eWqq66afUAzze+9DHjp6K+BmRPANrRpipGonmchXMaKoiiKojzXmPcZiDFmDLgGsIHbRORzIvJXwC+BC4mExpdbDjufSDD8e0tfAVEhuAJwk4h8UUT+kiho+nXAXcAnW/r6O2CHiNwoIp+M/34I/ICosNyfGmP+p+U8/xMftxa4Pz7m08A9QDfwQa1qffypioFqXERjfESVzZs3Mzw8zC9+8QsGBwd54IEHWLp0KRs3zpxtd9GiRVx55ZV89atf5cc//jF33nknb3vb2/A878gGKhIVj0t2cPiB0nWxocHWiqIoiqLMJwvBtQljzDdE5FIit6TXAkngCeADwN83WhDm0NfdInIe8BGizEs5InemjwJ/2cZF6j+AXwHOI3JLcoF9wFeAfzTG/GiG8/yeiDxAZIH4NSAEfg78tTHm/811vMeaZ+ou9GxixYoVrF27lieeeIIdO3Zwyy230NnZyVlnnVVrU/08brnlFlauXIkxZlZrRJVf+7Vf42tf+1rNZerQbk0wtwl+Q5s5fM01RkJRFEVRlIXCghASAMaYu4CXz7HtbcwySzPGPAy8fo59fR74/Fzatjn2OuC6IzlWOTZcfvnlPPnkk/zgBz/gtttu49JLL20Kot64cSMDAwM1IVE95lBcccUVrFy5kqeffppLLrmEDRs2HPKYOdGoI+bQvClGomaQUIuEoiiKoijHnwUjJBTlaHDZZZfx2c9+lk9+8pMMDw+3tci88IUv5Fvf+haPPhol+ZqLkLAsi6997Wts376dTZs2HfVxA4dlkRBMQ7C1WiQURVEURTn+6AxEOaG47LLLEBEeeOCB2utWXvjCFzI5OcnWrVvZsGEDS5cunVPfZ599NlddddVhWCMObSmQBmvCnIKt28ZIKIqiKIqiHH9USCgnFH19fZx22mkA9Pb2cuqpp05r02ilmIs14oiZ0zz/8MRAQ9ImzdqkKIqiKMq8oq5NygnHfffdN+v+devWMVv8/ubNm2fd38qdd955yDa3/ddXIdsPlj1zo7mcU4OtFUVRFEVZIOgMRFGOGUff9aju2mQahIS6OCmKoiiKcvxRIaEo80ljjMThpn+tXr1qkVAURVEUZR7QGYiiHDeeueWgOf2rFqRTFEVRFGX+UCGhKMcMmfXl9I2Hmf5VYyQURVEURZlHdAaiKMeKacJhupKQwyts3Zz+tebapBYJRVEURVGOPyokFGVeOTyLhGZtUhRFURRloaAzEEU5ZhympeDwdITGSCiKoiiKMq+okFCU40U7FyQ5shiJKP1rfPxstSkURVEURVGOESokFGWBMJcSeE0xEiJgORojoSiKoijKvKBCQlHmETnMaOvmOhICtnsMRqUoiqIoinJoVEgoyjFjLjaGw+itRWhYAlgqJBRFURRFmR9USCjKvDL3GAnT8EwAQS0SiqIoiqLMH858D0BRntPM0bMpCEOGJisNh8QHqpBQFEVRFGWeUIuEoswrcwuUniwFhA1Ko3aUujYpiqIoijJPqJBQTgg+//nPIyK87GUvm7HNK17xCkSEf/qnf6ptKxQKfPKTn+SSSy6ht7cXz/NYvHgxV155JTfeeOO0uIQqmzdvRkQQEb7whS/MeM6P/OXfIh1LkI4lvP3tb5+2v1lGzGySKPlh+wPVIqEoiqIoyjyhQkI5IXjXu97Fq171Kr773e/y6U9/etr+z3zmM3znO9/hZS97Gb/xG78BwEMPPcSpp57KBz7wAbZv385rX/taPvjBD3L55Zdz55138oY3vIGXvOQljIyMzHhex3H43Oc+13ZfGIZ84fobcJxZPAjnmLXJsWewXFjqnagoiqIoyvygQkI5Ybj22mvp6+vjQx/6EI8++mht+2OPPcYHP/hBenp6ataDvXv3csUVV7B161b+6I/+iCeeeIJ/+Zd/4eMf/zjXX389Tz75JC95yUu4+eabecMb3kAYhm3P+cpXvpIf//jHPPTQQ9P2fe/mW9i+YxdXvvSKZ/ze7CbB0bhDLRKKoiiKoswPKiSUE4b+/n6uvfZaCoUCV199Nb7v4/s+V199NYVCgc9+9rMMDAwA8Cd/8ifs2bOHN77xjXz84x+fZjXo7u7mq1/9KmvWrOHmm2/mS1/6Uttzvvvd7wYiEdPKtdf9B+l0ire84TUzjlnmGCPRjKnHS2iMhKIoiqIo84QKCeWE4tWvfjXvfOc7ueeee/joRz/KRz/6UX72s5/x9re/nde8JprQT01Ncf311wPw4Q9/eMa+MpkMv/d7vwfAZz/72bZtNmzYwCWXXML1119PqVSqbd+7dy/f/s73eP1VV9KRz8084CbPpiOoO2Gra5OiKIqiKPODCgnlhONTn/oUq1ev5uMf/zgf//jHWbVqFX//939f23/PPfdQKpVYsmQJmzZtmrWvK66I3JJ+8pOfEARB2zbXXHMNBw8e5Gtf+1pt23XXXYfv+1zztjcfYrRzqyMx4x61SCiKoiiKMk/ocuYJzlNP/X/zPYQ5s2bN+45KP7lcjg9/+MO84x3vAKJA61yubhXYs2cPAMuXLz9kX9U25XKZgwcP0t/fP63N6173On7nd36Ha6+9lje96U0YY/jc5z7Hpo3ref7zzucHt94xY/9yJJ5NQMKxwQds78g6UBRFURRFeYaoRUI54ZiamuITn/hE7fWNN954TM+XTCa5+uqrue2223jiiSe45ZZbePLJJ7nm7W+dw9FzrEjXsM8ScG0tSKcoiqIoyvyiQkI54fjQhz7EI488wvve9z7OPPNMvvCFL/Dtb3+7tr8acL1jx45D9lVt43kePT09M7a75pprMMbw+c9/nmuvvZZEIsH/evOvPsN3UqdRYjQZMTT9q6IoiqIo84TOQk5wjpa70LOF73//+3z605/mtNNO4xOf+ASPP/445557Ltdccw0PPvggvb29nHfeeSQSCXbv3s2WLVtmjZP4wQ9+AMDznvc8bNuesd1pp53G8573PD7/+c8zOjrKa1/7Wnp6usEvzz7gmdK6zhW1SCiKoiiKMk+oRUI5YRgaGuId73gHruty/fXXk0gkOPXUU/mLv/gL9u3bx3vf+14AUqkUb35zFAT9sY99bMb+pqam+Lu/+zsAfu3Xfu2Q57/mmmsYHBykXC5zzTXXzGnMMsdg6xnRYGtFURRFUeYJFRLKCcN73vMedu/ezcc+9jFOP/302vbf+73f4+KLL+amm26qpX392Mc+xqJFi/jiF7/In/7pn+L7flNfw8PDvO51r+OJJ57gRS96EW9605sOef43vvGNfP3rX+eb3/wmmzdvntugWwwSM6WAnVFiaPpXRVEURVHmCZ2FKCcE//Ef/8GNN97IJZdcUqv9UMWyLP7t3/6N008/nd/+7d9m8+bNLFu2jO9///u86lWv4mMf+xjXX389L33pS+nu7mb79u3813/9F8PDw7zoRS/ixhtvxLIOrbnT6TRXXXXVYY1bmp7Pkv51pl1qkVAURVEUZZ5Qi4TyrGf79u389m//Nvl8nn//939vO+lfvXo1n/zkJxkZGeGd73wnxhhOP/10HnroIf72b/+WpUuX8uUvf5m//uu/5uabb+aiiy7iy1/+Mt///vfp7Ow8hqOXaVaJQ9PQSmMkFEVRFEWZJ+SIqukqxxwRuffss88++95775213ZYtWwAOWVhNmQcKB5uDrfOLp7epFJgcPYgx4NtJ8p29WNb04hJDkyUqQXStHtz+GFI4wKbJu+GCX4d097F6B4qiKIqinOCcc845/PznP/+5Meacwz1WLRKKMq8INZOEMZgZbBIzV7ZW70RFURRFUeaHBSMkROQiEfmOiAyJyJSI3C8i7xeRmXNuztzXySLyFRHZLyJFEXlURD4iIqk2ba8TEXOIvx+2HPP2Q7R/zzP5LJTnFo0ZYMOZFMNM29W1SVEURVGUeWJBLGeKyKuBrwJF4MvAEHAl8Eng+cDrD6OvC4BbABe4CdgBXAZ8GLhcRC43xpQaDvkGsG2G7t4KrAH+e4b93wR+2Wb7PXMdr/JcpyUB7OG6GmqwtaIoiqIo88S8CwkRyQPXAgGw2RhzT7z9T4kEwetE5I3GmBvm0JcN/CuQBl5tjPlWvN0CvgK8Fvhd4C+rxxhjvkEkJlr76gQ+BJSB62Y45TeMMTPtU57r2Il6jMQcLAeCmdEiUdvcKDREwDpsg52iKIqiKMpRYSG4Nr0O6ANuqIoIAGNMEfiT+OV759jXpcAm4I6qiIj7ColEAcB7RGR6NOt03gqkgK8ZYw7M8fyKUsfLgJsEx4NkZ/s20lLc+nAMEpbTfLCiKIqiKMpxZN4tEkRuRwDfbbPvDqAAXCQiiRaXpMPqyxjzlIg8Bqwncld68hB9VUsTf3aWNmeKyPuBJLALuNUYs/MQ/SrPFUQg1XWoRrFzU6QgZixIZ6qtNfWroiiKoigLg4UgJDbEj4+17jDG+CKyFTiFaPK/5Uj7inmcSEisZxYhISIXAqcBjxljbp3lfO9reR2IyOeA98cWlUMiIjPld904l+OVZz91o4IhPETbyLgWo/ERiqIoiqLMIwvBtakjfhydYX91e+dx7OvX4sdrZ9i/FfhtIuGSAZYAbyAK2v514AuHHurRoeqlFYaHmoIqC5Nm16SZg63j7WEIGMSYyGVKURRFURRlnjgqFgkR2QasPIxD/tMYc/XROPfRRkQ6iETBjEHWxpjbgdsbNhWAG0XkJ8B9wJtE5BPGmPsOdb6Zin/EloqzD3V8IpGgWCwyOTlJLpc7VHNlAVK1SMwl2LpSKkDgkzBT4GaOy/gURVEURVHacbRcm54kSt06V3Y3PK9aCTraNWzYPjKHfo9GX1cTZX264XCDrI0xO0TkO8BbgEuIRMUxJZfLUSwW2bt3LwCZTAYRYW7x5Mq8I9KUALadRcIYQxiElIpTTAwPIf4UOf8geJ3HcaCKoiiKoijNHBUhYYy5/Bkc/ihwLlHcQlO8gIg4wGrAB56aY1/EfbXjpPhxphgKqAdZ/8sczteOwfjxuCwXd3d3Mzk5SaFQYOdOjfN+1mEMJvQJjQEEYw2zx5ouAitBiB8YKqUCi/wDdFf2grvk+I9XURRFURQlZiHESNwSP760zb5LiKwD/zOHjE2z9iUia4gExtPMIEriYnZnEAVZ3zaH87XjgvhxLsLnGWNZFsuXL6evr49kMqmWiGcbJiCcOMDUyD4mRw8wOlVp2+zgZIV9kwEjB/eyrPgIFiG46eM8WEVRFEVRlDoLIWvTTcAngDeKyD80FKRLAh+L23ym8QARSQMrgIIxZnvDrtuJMjtdIiKvailI94m4zT+bmSNaq0HWs6V8RUTObax50XCOPwAuBA7QPp3tMcGyLHp7e+nt7T1ep1SOFoUhpu78Jr/cMULRybN17Vt557mrpzX73g8ewxhYM7oPe1EICHgqJBRFURRFmT/mXUgYY8ZE5BoiQXGbiNwADAGvIsqKdBPw5ZbDzgduJRIOmxv6CkTkHUSWiZtE5CZgO3A5kfvUXcAn240jrrD9q0AJ+LdDDPtnIvIgUQzELqLYi+cDpxIFXr/FGDM2l/evPMcRwYldmYSQkj89+1YYmlodCS+cqsdUqEVCURRFUZR5ZN6FBIAx5hsicinwv4HXEhV4ewL4APD3s1gQ2vV1t4icB3wEeDGQI3Jn+ijwl7O4SL2FKK5hLkHWf0MkZi4DuoGQSLB8Gvg7Y8xxcWtSTgDEwq4KCWMo+QHGmCYXtbDh6+81fn1VSCiKoiiKMo8sCCEBYIy5C3j5HNveRmsC/ub9DwOvP8zzf4YWF6pZ2v7+4fStKDMiNpYItoCYkExxL+WxPImOgVqTxpSwbjgFxIXoPE3/qiiKoijK/LEQgq0V5bmLRJegbVm44RSn7vsWu2/+NOFoPUNyk0UiaMiyrBYJRVEURVHmERUSijKfxELCsesGtr2jUxz8+Tdrr6s6wgp9HOKsTpYNTuK4DVNRFEVRFKUVFRKKMp9UhURL7YjKyJ7a8yBWEk5YrPvzual6SWxFURRFUZR5QIWEoswnsZBY3Jlq2uyHBgpD7B8r8p0HIlHhBlP1IGx1a1IURVEUZZ5RIaEo84llA9Cd9ljdWw+e9oMQhrby1Z/vYtfwFFANtI5RIaEoiqIoyjyjQkJR5hORmotSo3uTHxoY302xEtS22WG57s3kNlswFEVRFEVRjjcqJBRlvmkTcO2HBqZGmprZpoJVVRK2d7xGpyiKoiiK0hYVEooy39QsEvXL0Q9DKI40NbPDSsMLFRKKoiiKoswvKiQUZb5JdgItrk2BgdIEVujXtlmmUndtst3jOEBFURRFUZTpqJBQlPlmzWagjWsTkPDHatts4yOoa5OiKIqiKAsDFRKKMt/0ngSnXIWd7uJA5iRGk8sIQkNoDMlGIRE2WiRUSCiKoiiKMr848z0ARVGA/k1I/yZ2lp5k8b7b6CCySiSC8VoTy1TqBenUtUlRFEVRlHlGLRKKsoBIuhYlJw9AxQ9JVlotEurapCiKoijKwkCFhKIsIBKOTbEqJIKw2bXJ+BpsrSiKoijKgkGFhKIsIJKuRdmOis2VgxAnLNb2Nbs2qUVCURRFUZT5RYWEoiwgkq6NkSh0qRIYLBPW9qlrk6IoiqIoCwkVEoqygEi6FmF8WVaCECGo7bM12FpRFEVRlAWECglFWUAkHBsjDUKiwSJhhb6mf1UURVEUZcGgQkJRFhBJ18KIDUSuTY1CIrJIqGuToiiKoigLAxUSirKAyCScmmtTsRJgVV2bTIhVzdokoq5NiqIoiqLMOyokFGUB0Z32ahaJkl93bbKNDxDZIyyHuo+ToiiKoijK/KBCQlEWEJ1pjzAWEgCWiSwSVlgBYv2gbk2KoiiKoiwAVEgoygLCcyxy6UTttcRCwjZVISEqJBRFURRFWRCokFCUBUZ3Jll7Lhgwptm1SeMjFEVRFEVZAKiQUJQFRlc2UUsBCyAEDa5NapFQFEVRFGVhoEJCURYYPRmPkMY4ibDu2gQqJBRFURRFWRCokFCUBUZn2m22SDQICQR1bVIURVEUZUGgQkJRFhieYzVlbhITYIVRjISlrk2KoiiKoiwQVEgoygLDsawmi4RFULdIgAoJRVEURVEWBCokFGWB4diCodEiEWKHjUJCXZsURVEURZl/VEgoygLDtSzCRouECbDi9K/GGBUSiqIoiqIsCFRIKMoCw7EFI80WCSEEwAA07FMURVEURZkvVEgoygLDsQRDcx0JMbGQMIDoZasoiqIoyvyjMxJFWWBEReec2mur0SJhjAoJRVEURVEWBAtmRiIiF4nId0RkSESmROR+EXm/yOH5cYjIu0TkX0TkbhEpiIgRkY/N4bhXishtIjIqIhPx8W87xDFvE5Gfxu1H4+NfeTjjVZR2WFZz+lcxBqi6Ni2Yy1ZRFEVRlOcwC2JGIiKvBu4ALgG+Dvwj4AGfBG44zO7+Fvg14CRg9xzP/1vAt4FTgeuBa4ElwHUi8jczHPM3wHXA4rj99cBpwLfj/hTliLGaLBJBg0UCEJmnUSmKoiiKotSZdyEhInmiiXgAbDbGvMsY8/vAmcCPgdeJyBsPo8s3AquMMd3AXCwRq4C/AYaAc40xv2mM+V3gdOBJ4PdE5MKWYy4Cfi/ef7ox5neNMb8JnBP38zdxv4pyREijRYIwVhDq2qQoiqIoysJhIcxIXgf0ATcYY+6pbjTGFIE/iV++d66dGWO+a4x5+jDO/04gAfyjMWZbQz/DwMfjl+9pOab6+v/E7arHbAM+Hff3jsMYg6I0IXb7rE3ZpKNCQlEURVGUBcFCmJFcFj9+t82+O4ACcJGIJObh/P/d0uaZHKMoc8ayWlybjKE749GXTaiQUBRFURRlQeAcuskxZ0P8+FjrDmOMLyJbgVOANcCW43z+PSIyCSwTkbQxpiAiGWApMGGM2dOmv8fjx/VzObmI3DvDro1zOV45MWmMkRBCzlqeZ1klF29QIaEoiqIoyvyzEGYkHfHj6Az7q9s75/n8HS2P8zVe5TmA1eLaZImp71QhoSiKoijKAuCoWCREZBuw8jAO+U9jzNVH49zPdowx57TbHlsqzj7Ow1EWCJbtxFERYBkfCxUSiqIoiqIsLI6Wa9OTQPEw2jemZW1d8W+lun3kMMc0V0aB3vg8B2c5/2jL43yNV3kOYFmNQiLEMmF9pwoJRVEURVEWAEdFSBhjLn8Ghz8KnEsUU9AULyAiDrAa8OH/b+/Ooyyp6gSPf3+VRbHJjrIO4sLmtEsjKlsLLtONjrgM9IitI6jYjscNFdtR7BGb1qbdUNTj0rag3R6hZVNccIOCFkdtQFBbUFlKRAFlVywoivrNH/em9Xj1sioj36t8NzO/n3PiRL6IeyPil+/ly/jFvXGDa4fYx7r2v23d///r2/8OwKbADZn5B4DMvDsifgXsFBE7DLhPYrc6X+OeC2m6JiYmWFl/Dvq7NvkcCUmSNH4tXNo8v84PGbDuycAmwHcy894x7P8ZfWWGqSNN26LFPTdb5/2EXZskSVJjWjgjOQO4BTgiIvaZXBgRG7H6gXIf7a0QEZtExJ4RscsI9n8KcC/w6t6HyEXEVsBb68uP9dWZfH1cLTdZZ1fgVXV7p4zg2LRATfSO2pSrWIRdmyRJUlvGPvxrZt4VES+nJBRLI+I0ytOhn00ZmvUM4PS+ak8ELgAuBA7uXRERRwMH1pePrPNDI2Ln+vNVmXliz/6vi4g3AScDl0TE6cAKyoPydgbel5kP6PKUmd+JiPcDbwB+GBFnAEuA5wNbA6/pfbid1FX0PkeC+x94s3XPU68lSZLGZeyJBEBmnhMRBwHHAYcBGwFXU07UT87MXFv9PgcCR/Yte0ydoCQfJ/auzMwP1ZGnjgVeTGmp+Qnwtsz89BTH/MaI+BGlBeKvgVXAZcB7MvNLHY5XWsPE4v4WCbs2SZKktjSRSABk5sXAM6dZdikw8I7TzDwKOGoG+z8XOLdjnVOBU7vuS1qXiZ7nSCzK+1nU+3E3kZAkSQ1oJpGQtNrExAZ//DlyFWEiIUmSGuMZidSgxYt7WiRw1CZJktQeWySkBi3qH7Wp9y4hEwlJktQAz0ikBi1e3Nu16X4fSCdJkppjIiE1aOIBXZtWEWnXJkmS1BbPSKQG9d9s7fCvkiSpNZ6RSA3qfbL1olxJ+GRrSZLUGM9IpAYt6nmOROQqIk0kJElSWzwjkRq0qPfJ1qwCEwlJktQYz0ikBm264YZssqS0SmyzyQR4s7UkSWqMz5GQGhSLJthrh825a/l9bLHVprByee/K8R2YJElSZSIhtWjRBEsmFrHtgzaE++5+4DoTCUmS1ADPSKQWxcQUy8MH0kmSpCaYSEgtWrwhbL7DmsttjZAkSY3wrERqUQQ89q8GL5ckSWqAiYTUqsVLYLPtHrhsqi5PkiRJs8xEQmrZor7xEOzaJEmSGuFZidSy/hYIEwlJktQIz0qkltkiIUmSGuVZidSyRbZISJKkNnlWIrXMREKSJDXKsxKpZXZtkiRJjfKsRGrZGjdb+xwJSZLUBhMJqWW2SEiSpEZ5ViK1zHskJElSozwrkVpmIiFJkhrlWYnUMrs2SZKkRnlWIrXMJ1tLkqRGeVYitcwWCUmS1CjPSqSWeY+EJElqlGclUstMJCRJUqM8K5FatkbXJh9IJ0mS2mAiIbWs/2br/hYKSZKkMTGRkFrmzdaSJKlRzZyVRMT+EfGViLgtIpZHxA8j4piI/kuy69zOyyLi4xHxvYj4Q0RkRPz9Wso/LiKOj4iLI+LGiFgREb+KiM9FxN5T1Dm+bneq6ZCu8UsDeY+EJElq1OJ1F1n/IuI5wJnAPcDpwG3AocBJwAHAX3bY3PuALYDbgV8Dj1hH+Y8BTwIuBc4Cfg88DjgCODwinp+ZZ01R99PAsgHLr+5wvNLUTCQkSVKjxp5IRMTmwD8B9wMHZ+YldfnfAudTTuaPyMzTprnJI4ArM/MXEXEUcMo6yn8WeFFmPuDkPyJeCPwr8ImI+FJmrhhQ99TMXDrN45K6s2uTJElqVAtnJYcDDwZOm0wiADLzHuBt9eUrp7uxzDwvM3/RofyH+pOIuvyzwM+BbYBHT3d70kj5ZGtJktSosbdIAE+t8/MGrLsI+AOwf0RsmJn3zt5hAXBfna+cYv2BEbEPMEHp4vStzLxlNg5MC4QtEpIkqVEtJBJ71PnP+ldk5sqIuA74r8DDgStn66AiYl/gUcCvgB9PUeyEvtf3RsR7gP+bmTnN/Vw6xao9p3Wgmt/WuEfC50hIkqQ2tHB5c4s6v3OK9ZPLt1z/h1JExNbAZ+rL12fm/X1FrgBeSkluNgYeCrwcuIPSHeuds3Okmve82VqSJDVqJC0SEbGMcjI9XZ/NzBeNYt+jFhGbAl8AdgPenZmf7y+TmWf3Lboe+GREXAZ8Fzg2It4/nW5Omfn4KY7jUmDg8LNaQOzaJEmSGjWqrk3XUIZuna5f9/w82eKwxaCCPcvv6HhMndUk4svAgcD7M/PNXepn5mUR8X3KkLX7AeeO/ii1oHiztSRJatRIEonMfNoQ1X8K7APsTnmWwx9FxGLgYZSbna8dYh/rFBGbUZKIP6O0RHRKInr8ts43HcmBaWGzRUKSJDWqhbOS8+t80NOgnwxsAnxnfY7YFBFbAF+nJBHvnGkSEREbsLo70npNfLRALGrhT1SSJGlNLZylnAHcAhxRh1IFICI2Av6+vvxob4WI2CQi9oyIXYbdeURsBXwT2Bd4e2a+bR3lN4uIPQYsXwJ8ANgFuAq4pL+MNLRcNe4jkCRJAhoY/jUz74qIl1MSiqURcRpwG/BsytCwZwCn91V7InABcCFwcO+KiDiaco8DwCPr/NCI2Ln+fFVmnthT5SxK16prgEURcfyAwzwnMy+vP28DXBkRl1CGo72R8kC9p1C6Yd0CvCDTMz6tB9MbVViSJGm9G3siAZCZ50TEQcBxwGHARsDVwBuAk6f7TIbqQODIvmWPqROU5KM3kXhYnT8CePsU21wGXF5/vg34MCWZ+Qtga2AFJRH5R8pN2r/pcLzS9JmfSpKkRjSRSABk5sXAM6dZdikw8MlcmXkUcFSH/e463bK1/F3Aa7vUkUbGREKSJDWihXskJE2bXZskSVIbTCSkucQ8QpIkNcJEQppL7NokSZIaYSIhzSk2SUiSpDaYSEhziS0SkiSpESYS0lwysWTcRyBJkgSYSEjt2/3Py3xiA9hlv/EeiyRJUtXMcyQkTWHHvWHznWDDzWDJJuM+GkmSJMBEQmpfBGy2/biPQpIk6QHs2iRJkiSpMxMJSZIkSZ2ZSEiSJEnqzERCkiRJUmcmEpIkSZI6M5GQJEmS1JmJhCRJkqTOTCQkSZIkdWYiIUmSJKkzEwlJkiRJnZlISJIkSerMREKSJElSZyYSkiRJkjozkZAkSZLUmYmEJEmSpM5MJCRJkiR1Fpk57mPQABFx68Ybb7z1XnvtNe5DkSRJ0jx15ZVXsnz58tsyc5uudU0kGhUR9wITwBUdqy4CtgNuBlbNYt1h6+9Z51fN8n6HrT+umIfd9zg/J+N6r8cZM8w87nEft5/x7ubiZ3zY+n6HdzcXP99zNeZRbGM+f8YfC9yfmRt2PrLMdGpwAi4FLp1BvR2BBHaczboj2PeM4m3guMcS85iPe9jf91je63HGPEzcDRy3n/FZjNvv8LnzO1uIn++5GvO4Y2/9Mz5MbN4jIUmSJKkzEwlJkiRJnZlIzD+/A95R57NZdxT1Z2qcxz2umIfdtzHPXt1hjfu4F2LsCzHmUdSfKb/D507dYY37uP2Mj5g3WzcqIi4FyMzHj/tYZsNCixcWZsxg3Asp7oUYMyzMuI15YViIMU+az7EPE5stEpIkSZI6s0VCkiRJUme2SEiSJEnqzERCkiRJUmcmEpIkSZI6M5GQJEmS1JmJhCRJkqTOTCQkSZIkdWYiIUmSJKkzEwlNW0RsExFHR8TZEXF1RCyPiDsj4tsR8bKIGPh5ioj9I+IrEXFbrfPDiDgmIibWsq9nRcTSuv3fR8T3IuLItZR/SES8OyJ+HBG/i4hbI+LSiHhTRGw2T2N+ZEScEhE3RMSKiLgxIv4lIh4x03hnK+aI2LK+N5+NiJ9ExMqIyIh4+jqObSIiXl+3vbzu6ysRsf8wMbcee0TsFRHviIgvRMT1tXxGxOL5GHMUh0TEhyLi8oi4PSLuiYifRsQHImK7+Rh3rfPciDg9Iq6qcS+PiJ9HxOciYp/5GPOAbWwb5fssI+Lb8zHmiDi+5+940HTIfIu5p+72EXFS/XteXj/nl0XEiTONufXY1/FeT07/a9j4xyIznZymNQH/G0jg18BngX8APgXcUZefQX3IYU+d5wArgd8D/wy8B7iqlv/8FPt5dV1/C/AR4CTgl3XZeweU3xW4ua6/oO7jQ8BP67IrgI3nWcz7AHfV9d+s+/g34D7gTuBPW36fgcfVdVnjvKn+/PS1HFcAn6/lrqr7+Oe6z5XAc+bCZ3yGsR9Ty6wErgSW19eL52PMwEZ1/b3AN4D3Uv4mrqjLbwJ2m29x1zqnANcCp9eY/xE4E7gHWAUcPd9iHrCNM4Hf1Xrfnqfv8/G1zKn15/7pkfMt5lrvAOB2yt/22cCJwAeBLwPLhnmvW459ivf4eOB9te59wPbDxj+OaewH4DR3JuCpwKHAor7l2wPX1z+Gw3qWbw78pn5h7NOzfCPgO7X8EX3b2pXyD/NWYNee5VsBV9c6+/XV+Uhd/va+5RPAt+q6F8+zmCdPqF7ft/zA+oV4ef+XZWMxbwU8Ddi6vj51Gl/EL6hlLgY26ln+hLrv3wCbzYHP+Exi3wN4EjUhBpYxukSiuZiBDYDjgK36li8CPlbrnjvf4p7c3hTLH035nrgDWDKfYu6r/+Ja/pWMJpFoMmZWJxIHDxPfHIt5e8rFsmXA7gPWbzBfY1/L8b6i1j1r1J+D2ZrGfgBO82MC3lr/GD7Us+ylddmnB5R/al13Yd/yv6vL3zGgzsDtAV+ty9e4Cg+8oa5743yJGXh4XXZz/5dlXX9OXf/kVmMeUG46/4QuqmWeMmDdZ+q6l7T+GZ9J7APqLGNEicRcibmn7o617u8WUty1/g9q/Z3mY8zALpRE6ZOUCyxDJxKtxsx6TCQajvnkWuaQ2Yy5hdjXUvfSWvcvxvE7GcXkPRIalfvqfGXPsqfW+XkDyl8E/AHYPyI2nGadr/aVmfSfdf7fexfWvpDPoHQHOH/KI5+5ccW8fZ0vy8xVA+pcW+dPG3TQQxpVzJ1ExEbA/nVb/z6gyFSfjVEaS+xj1mLMg45pNvYx1rgjYndKy9QtwI3rYRdjjTkignJCdiflAtBsaOF9PjAijo2IN0fE8yNi2xFtdyrjjPkFlG5NX4uIR0XEa2rch0fEg4bc9nS08H7/UUQ8HtibcmHo66Pe/mwxkdDQotzw+eL6svePcY86/1l/ncxcCVwHLKZcYZ9OnRuBu4GdI2KTnlXvptwPcUJEfCsi3hMRH6QkGPtQ+hT/oHNgazHmmG+p84fWf779Jre9x4B1MzbimLt6BKWr2rV1m/1+Xue7D7GPKY059rFoOOaXDjimkWkl7oh4er0h910R8Tngsrrq6CkuIAyzrxZiPgY4GHhZZt41gu2tVSMxA5xA6ZN/InAacENEnDDFd/tQxhlzRDwM2JbSXfckyv/nkylxfx5YFhHPnOn2p7H/Vt7vXn9d5/+UtXliLjKR0CicCPwJ8JXM/FrP8i3q/M4p6k0u33IGdSbLkZm/Afal3Lj1VOBY4LWUL4h/o9yMPGpjizkzf0Y5cd6OEucfRRm96Fn15VZTH/6MjDLmrmZjH2szztjHpbmYI+IJwNspN+K+bdTbr1qJ++mUWN8CHEGJ+XmZ+YURbb/XWGOOiEcB7wI+lpnr4/t6kHG/z1dQkuKHAxsDDwVeTuna9TbgnUNuf5BxxvyQOt+bcgL96rpsR+Bv6jGcGRF7DbGPtRn3+/0AtQXmBZTWkU+NctuzzURCQ4mI1wJvpIxwMJahyyJiV0oT5KOBZ1K+GHag3Kz3QuA/6tWQUe1v7DFTRqZYAXwgIr5RW2FOA5YCP6plRnbVspGYx2Ihxt5izLVrz7mUG7FflJnXrId9NBN3Zv6fzAzgQZSTr/OBr0bEcaPcz7hjjogNgH+hdNf6m1na59jf58w8OzNPyczrMvOezLw+Mz9J+R92H3DsKLs5NRDz5PnmBPB3mfmRzPxtZt6Yme+htE5sRGmZGqkGYh/kBcBmwBcz86ZxH8wwTCQ0YxHxasqwbT+h3AB7W1+RNVoP+kwuv2MGdXqvHpxKSSIOy8yvZuZdmXlTZn6cMvLLdpQre0NrJebMPJ/SCnMWZSi619X5mynD3UEZiWJo6ynmrmZjH2toJPZZ1WLMNYm4ANiaMoLKF0e17Z59NBc3QGbenZk/yMwXAl+jdOF8wii23UjMbwH+lDJQwu+H2M60NBLzlDLzMuD7lIR5v1Fss5GYe+uePWD95LInDrGPNTQS+yCT3Zo+MeLtzjoTCc1IRBxDeVbDjyl/nIMy6p/W+Rr91mt/xYdRmvWunWadHYBNgRsy8w912WbAQcBtmfnDAcdwQZ0/fh0hrVMrMU+qJxeHZeaDM3NJZu6ZmSdRmm8B/mPawU1hPcbc1TXA/cDDY/BD2Har8zX6uc5UQ7HPmhZjrl0dllL6V/9lZp45iu327eMYGot7CudRnqdy0LAbaijmvSkxLe19OBelbzrAAXXZHUPsA2gq5nX5bZ1vOuyGGor5Glbf5HzHgPW31/nGQ+zjARqKvX+7j6Pcv3kdc/gm60kmEuosIt5MuVnqcsof51RXvidHShr0hM4nA5sA38nMe6dZ5xl9ZQCW1PnmEbGENT24zldMcYzT0ljMazvODShNpvdRHrwzY+s55k4y8x7KmN6bAH82oEin39O6tBT7bGkx5oh4NCWJ2Br4H+vj/oAW416Lnep8qBGrGov5G5SHgPVPp9f1N9fXnxliH63FPKX6Hb53fTnUyWtLMWfmClaPuPcnA4pMLrtuwLrOWop9gFfU+Sfn8k3WfzTdcWKdnDIT4G8pYx5fQn0Yy1rKbk65stLlQS8Po/vD2X5Sl5/Qt3wjSotEAu+eZzFvCkz0LVsMfLSWP7Hl93nANk5lNA+k27z1z/hMYh9QZxkjfI5EizFTuurdQhl+cb2Msd5a3MCGwGOnWPcEytPsVwJ7zpeY11JvV0b0HInWYqb0jd9jwPIlrH7A6pUMeE7QXI25lnkeq7/DN+1ZviWl1SCZ4cNjW4+9p+ymlO5Uc/ZJ1v1T1MCkdYqIIyl/MPdTmgsHjXKwLDNP7anzXMqV8XsoQ9vdBjybMqLSGcD/zL4PYUS8hnLj1a2Uq1IrgMOBnYH3ZeaxfeWfDnyZ8iX8Pcof/8aUq9QPpZyM75uZt86jmJ9FeWjTN4EbKDdkHkIZJvUM4K8y8z5mYBZjfi+luwqUJ3I/gtLMOzlG/jmZeU5P+aCMwnU45aa5c4FtgOdTvvQPyyGvWDcc+7bAe3s2cTjlH9Lkg/igJI9XdQh3ctvNxRwRk0n01pSn0397isP/QGbeMc1QH6DRuLekdPH4IeXE6gbKFdG9WD3e/Zsy833zJea1HOuulKvTF2fmgdOLcOB2mou5xnYt5UT3ylrmwcBTKBeWbgH+W2ZePl9i7qnzKeAllPf2q5Sbr59FaW07s+5nxgOFtBx7rfcyyv/uszLzsBmE2J5xZzJOc2di9ZM41zYtHVDvAOArlH+QyymjCr2evivqfXUOBS6kDHl4N6W//5FrKf8Yysgf11NOwpdTxql+F7DlfIuZ0p/zTOCXlCspt1NaX14I5QJB6zGz+qr6VNPxA+osrtv8Ud3H7XWf+8+lz3jX2Fl9dXZt08HzJeZpxpv0tODNk7g3oAz9+Q1KEnFP3cfVlKTxSfPx8z3FNiY/A0O1SLQYM+Uq+MnAd4GbKP+zfk8ZEvZE4CHzLeaeOgEcTfn/djelxfES4FUM0QIzF2Kv9b5X18/ZJ1n3T7ZISJIkSerMm60lSZIkdWYiIUmSJKkzEwlJkiRJnZlISJIkSerMREKSJElSZyYSkiRJkjozkZAkSZLUmYmEJEmSpM5MJCRJkiR1ZiIhSZIkqTMTCUmSJEmdmUhIkpoUEcsiYtm4j0OSNJiJhCRp3oqIjIil4z4OSZqPTCQkSZIkdWYiIUmSJKkzEwlJ0thE8eqI+M+IuCcifhURH46ILQaU3SIi3hQR50fEDRGxIiJ+GxFfjIj9+soeFRFZXx5UuzhNTsf3lX1SRJwRETfVbf4yIj4eETuuv8glae6LzFx3KUmS1oOI+CDwWuBG4AzgPuA5wO3ATsCKzNy1lt0XuKhO19QyuwDPBjYEDs3M82rZxwHPBd4O/AI4tWe3SzNzaS33UuATwL3AF4FfArvVbd4M7JuZ148+ckma+0wkJEljERH7AxdTkoInZuZtdflGwAXAvsAvehKJLYANMvOWvu3sDHwfuDMz9+pbl8CFmXnwgP3vDvwYuB44KDN/1bPuacDXgS9m5vNGErAkzTN2bZIkjctL6vydk0kEQGbeA7ylv3Bm3tmfRNTlN1BaM/aMiF067P+VwAbA63qTiLrNb1FaKA6NiM06bFOSFozF4z4ASdKCtXedXzhg3beB+/sXRsQBwOuA/YCHAEv6iuxEaWGYjsn7Kg6KiCcMWP8QYALYHbh0mtuUpAXDREKSNC6TN1Tf3L8iM1dGRH8XpudRWh7uAb5B6RJ1N7AKOBg4iHKvxHRtU+dvWke5B3XYpiQtGCYSkqRxubPOtwOu7V0REYuBbYEbehafAKwA9snMK/vKf5ySSMxk/1tk5l0d60rSguc9EpKkcbmszgclAAdSuhX1eiTwkwFJxKJafpBVA7Yz6bt1/mfrPlRJUj8TCUnSuJxa58dFxNaTC+uoTf8woPwyYLfe5ztERADHA4+aYh+3Av9linUfpgw3e1IdwekBImJJRJhkSNIUHP5VkjQ2EXEy8Bqm9xyJVwAfA34DnFnLHkBJIr4JHAo8ZfIZEbXO54AjgC9RWkDuAy7KzIvq+hcBnwICOA/4GWUkp10oLRW/zcw911f8kjSXeY+EJGmcXkc5eX8V8ApKC8LZwFuBK3oLZubHI+Je4BjgSGA58O+UYWQPoyQSg7afwNOAZ1Ja4t9BeagdmfmvEXEF8EbgKcCfU27g/jUlsTl9ZJFK0jxji4QkSZKkzrxHQpIkSVJnJhKSJEmSOjORkCRJktSZiYQkSZKkzkwkJEmSJHVmIiFJkiSpMxMJSZIkSZ2ZSEiSJEnqzERCkiRJUmcmEpIkSZI6M5GQJEmS1JmJhCRJkqTOTCQkSZIkdWYiIUmSJKkzEwlJkiRJnZlISJIkSerMREKSJElSZ/8fgWDsr+xNPSsAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "execution_count": 33, "metadata": { "image/png": { "height": 277, "width": 393 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "logR.rolling(20).mean().plot(alpha=0.5)\n", "plt.title('Log returns')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "These values seem to be significantly bigger initially. What about standard deviation?" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 34, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "execution_count": 34, "metadata": { "image/png": { "height": 261, "width": 378 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "logR.rolling(20).std().plot(alpha=0.5)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "It looks that there is a significant ``change of regime'' around 2010. It is of course associated with the results of the financial crisis. We are going to consider first the mean variance using the entire history from 2007 to 2010 and then compare with the result from 2010 on." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Note: In class we worked with mean-varaince analysis of returns. It is often convenient to work with log-retunrs instead: on the one hand, log-returns are usually closer to sattionary. On the other hand, they tend to look closer to Gaussian" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "### Mean-variance frontier construction\n", "\n", "We start by calculating, the mean and variance for the selected history on the first case" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean: ticker\n", "BAC -0.008158\n", "C -0.011287\n", "GE -0.002101\n", "JNJ 0.000542\n", "MSFT -0.000119\n", "PG 0.000720\n", "T 0.000589\n", "WMT 0.001307\n", "XOM 0.000983\n", "dtype: float64\n", "Variances [0.01065754 0.01643106 0.00302104 0.00060041 0.00164302 0.00067786\n", " 0.00114917 0.0008024 0.00119484]\n", "Var-cov: ticker BAC C GE JNJ MSFT PG T \\\n", "ticker \n", "BAC 0.010658 0.010821 0.003996 0.001206 0.001436 0.001176 0.001680 \n", "C 0.010821 0.016431 0.004706 0.001277 0.001674 0.001060 0.002169 \n", "GE 0.003996 0.004706 0.003021 0.000551 0.000855 0.000614 0.000794 \n", "JNJ 0.001206 0.001277 0.000551 0.000600 0.000493 0.000410 0.000463 \n", "MSFT 0.001436 0.001674 0.000855 0.000493 0.001643 0.000460 0.000587 \n", "PG 0.001176 0.001060 0.000614 0.000410 0.000460 0.000678 0.000492 \n", "T 0.001680 0.002169 0.000794 0.000463 0.000587 0.000492 0.001149 \n", "WMT 0.001000 0.000953 0.000495 0.000375 0.000495 0.000437 0.000505 \n", "XOM 0.001490 0.001562 0.000762 0.000490 0.000745 0.000483 0.000675 \n", "\n", "ticker WMT XOM \n", "ticker \n", "BAC 0.001000 0.001490 \n", "C 0.000953 0.001562 \n", "GE 0.000495 0.000762 \n", "JNJ 0.000375 0.000490 \n", "MSFT 0.000495 0.000745 \n", "PG 0.000437 0.000483 \n", "T 0.000505 0.000675 \n", "WMT 0.000802 0.000479 \n", "XOM 0.000479 0.001195 \n", "Correlation ticker BAC C GE JNJ MSFT PG T \\\n", "ticker \n", "BAC 1.000000 0.817741 0.704303 0.476717 0.343086 0.437369 0.480161 \n", "C 0.817741 1.000000 0.668015 0.406486 0.322244 0.317525 0.499051 \n", "GE 0.704303 0.668015 1.000000 0.409441 0.383542 0.428870 0.426370 \n", "JNJ 0.476717 0.406486 0.409441 1.000000 0.496616 0.642216 0.557587 \n", "MSFT 0.343086 0.322244 0.383542 0.496616 1.000000 0.435775 0.427469 \n", "PG 0.437369 0.317525 0.428870 0.642216 0.435775 1.000000 0.557387 \n", "T 0.480161 0.499051 0.426370 0.557587 0.427469 0.557387 1.000000 \n", "WMT 0.341866 0.262506 0.318131 0.540748 0.431313 0.592972 0.526187 \n", "XOM 0.417678 0.352628 0.401172 0.579001 0.531398 0.536973 0.575743 \n", "\n", "ticker WMT XOM \n", "ticker \n", "BAC 0.341866 0.417678 \n", "C 0.262506 0.352628 \n", "GE 0.318131 0.401172 \n", "JNJ 0.540748 0.579001 \n", "MSFT 0.431313 0.531398 \n", "PG 0.592972 0.536973 \n", "T 0.526187 0.575743 \n", "WMT 1.000000 0.489380 \n", "XOM 0.489380 1.000000 \n" ] } ], "source": [ "logR_sub = logR[logR.index< '2012-01-01']\n", "mu = logR_sub.mean()\n", "Sigma = logR_sub.cov()\n", "Rho = logR_sub.corr()\n", "\n", "print('Mean:', mu)\n", "print('Variances', np.diag(Sigma))\n", "print('Var-cov:', Sigma)\n", "print('Correlation', Rho)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Correlation are positive as expected... means seem reasonable. \n", "\n", "Before calculating the optimal portfolio, we transform the variable Sigma in a numpy matrix and calculate its condition number to establish the stability of its inverse." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "128.7153892613439" ] }, "execution_count": 36, "metadata": { }, "output_type": "execute_result" } ], "source": [ "Sigma=Sigma.values\n", "np.linalg.cond(Sigma)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "It is a large number, but still OK. We do not need to stabilise the inverse. \n", "\n", "Now, we are going to re-define the Markowitz weights function to find the mean-variance frontier." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "def Markowitz_weights(Sigma, mean_returns, mu_p):\n", " S_inv = np.linalg.inv(Sigma)\n", " pi_mu = S_inv @ (mean_returns)/sum(S_inv @ mean_returns)\n", " pi_1 = np.sum(S_inv, axis = 1) / sum(np.sum(S_inv, axis = 1) )\n", " lambda_demoninator = (mean_returns @ pi_mu) - (mean_returns@pi_1)\n", " ll = np.array((mu_p - (mean_returns @ pi_1))/lambda_demoninator)\n", " # previous line: to convert into array in case that mu_p is a single number\n", " ll.shape=(ll.size,1)\n", " return pi_mu * ll + pi_1 * (1-ll)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ticker\n", "BAC -0.008158\n", "C -0.011287\n", "GE -0.002101\n", "JNJ 0.000542\n", "MSFT -0.000119\n", "PG 0.000720\n", "T 0.000589\n", "WMT 0.001307\n", "XOM 0.000983\n", "dtype: float64\n", "======\n", "[[ 0.04274296 0.15931801 0.02639219 0.59758119 0.20169459 0.41534182\n", " -0.14901258 -0.06063188 -0.23342629]\n", " [ 0.03794259 0.15316594 0.02884724 0.59361264 0.19470381 0.40944844\n", " -0.14098252 -0.05195897 -0.22477917]\n", " [ 0.03314222 0.14701386 0.03130228 0.5896441 0.18771302 0.40355506\n", " -0.13295245 -0.04328606 -0.21613205]]\n" ] } ], "source": [ "# Using the function: note that Sigma and mean are Series, so we turn them into arrays by using the property 'values'\n", "print(mu)\n", "print('======')\n", "#mup= np.linspace(0.999,1.003) \n", "mup= np.linspace(-0.002,0.004)\n", "mvf_portfolios = Markowitz_weights(Sigma, mu,mup )\n", "print(mvf_portfolios[0:3])" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Let us calculate the means and variances of those portfolios." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ ], "source": [ "mu_mvf = mvf_portfolios @ mu\n", "sd_mvf = np.diag((( mvf_portfolios @ Sigma) @ mvf_portfolios.T ))**0.5\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "We can also calculate the portfolio with the (quasi-) minimal variance portfolio" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Index(['BAC', 'C', 'GE', 'JNJ', 'MSFT', 'PG', 'T', 'WMT', 'XOM'], dtype='object', name='ticker')\n", "[-0.09416917 -0.01614631 0.0964129 0.48439373 0.00230924 0.24725583\n", " 0.08001433 0.18672968 0.01319977]\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 44, "metadata": { "image/png": { "height": 248, "width": 380 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "sigma_inv = np.linalg.inv(Sigma)\n", "ones_vec = np.ones(Sigma.shape[0])\n", "min_var_p = sigma_inv@ones_vec\n", "min_var_p/=min_var_p.sum()\n", "plt.bar(R.columns, min_var_p)\n", "print(R.columns)\n", "print(min_var_p)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "So that the minimal variance portfolio invests mostly on health and consumption (Johnson and Johnson, Proctor and Gamble, and Wallmart). Note that this is a risky strategy because it is too centered on one type of asset." ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "Let us check that everything is correct. We plot our surface and the minimum variance portfolio. To do so, we generate a bunch of random portfolios to visually verify that our calculated values are right." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.02063705581048089 0.001492388376839055\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 45, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 45, "metadata": { "image/png": { "height": 248, "width": 394 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "#Generating random portfolios\n", "random_portfolios = 2.*np.random.rand(1000,Sigma.shape[0]) -1\n", "random_portfolios/= random_portfolios.sum(axis=1)[..., np.newaxis]\n", "rand_mean = np.dot(random_portfolios, mu)\n", "rand_sd = np.diag((random_portfolios@Sigma)@random_portfolios.T)**0.5\n", "rand_sd\n", "\n", "#Calculating mean and variance of minimal variance portfolio\n", "min_var_mean = np.dot(min_var_p, mu)\n", "min_var_sd = min_var_p.dot(Sigma).dot(min_var_p.T)**0.5\n", "print(min_var_sd, min_var_mean)\n", "max_sd_plot=0.06\n", "\n", "#Making the plot\n", "plt.plot(rand_sd[rand_sd " ] }, "execution_count": 46, "metadata": { "image/png": { "height": 248, "width": 380 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "logR_sub2 = logR[(logR.index< '2012-01-01') & (logR.index> '2010-01-01')]\n", "mu2 = logR_sub2.mean().values\n", "Sigma2 = logR_sub2.cov().values\n", "Rho2 = logR_sub2.corr().values\n", "\n", "print('Mean:', mu2)\n", "print('Variances', np.diag(Sigma2))\n", "print('Var-cov:', Sigma2)\n", "print('Correlation', Rho2)\n", "\n", "mvf_portfolios2 = Markowitz_weights(Sigma2, mu2, mup)\n", "mu2_mvf = mvf_portfolios2 @ mu2\n", "sd2_mvf = np.diag((( mvf_portfolios2 @ Sigma2) @ mvf_portfolios2.T ))**0.5\n", "\n", "print(np.linalg.cond(Sigma2))\n", "sigma2_inv = np.linalg.inv(Sigma2)\n", "ones_vec = np.ones(Sigma2.shape[0])\n", "min_var_p2 = sigma2_inv@ones_vec\n", "min_var_p2/=min_var_p2.sum()\n", "plt.bar(R.columns, min_var_p2)\n", "print(R.columns)\n", "print(min_var_p2)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "The first big change is that in the minimal variance portfolio, there is no longer room for a positive position in GE or Exxon Mobile. On the other hand Bank of America makes its comeback: Note also the reduction in exposition to JNJ." ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.013923096082564245 0.0010427265331609799\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 47, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 47, "metadata": { "image/png": { "height": 250, "width": 393 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "#Generating random portfolios\n", "random_portfolios2 = 2.*np.random.rand(1000,Sigma2.shape[0]) -1\n", "random_portfolios2/= random_portfolios2.sum(axis=1)[..., np.newaxis]\n", "rand_mean2 = np.dot(random_portfolios2, mu2)\n", "rand_sd2 = np.diag((random_portfolios2@Sigma2)@random_portfolios2.T)**0.5\n", "\n", "#Calculating mean and variance of minimal varaince portfolio\n", "min_var_mean2 = np.dot(min_var_p2, mu2)\n", "min_var_sd2 = min_var_p.dot(Sigma2).dot(min_var_p2.T)**0.5\n", "print(min_var_sd2, min_var_mean2)\n", "max_sd_plot=0.06\n", "\n", "#Making the plot\n", "plt.plot(rand_sd2[rand_sd2 ]" ] }, "execution_count": 48, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "execution_count": 48, "metadata": { "image/png": { "height": 250, "width": 393 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "#Making the plot\n", "\n", "mu1in2_mvf = mvf_portfolios @ mu2\n", "sd1in2_mvf = np.diag((( mvf_portfolios @ Sigma2) @ mvf_portfolios.T ))**0.5\n", "\n", "\n", "\n", "plt.plot(rand_sd2[rand_sd2 " ] }, "execution_count": 49, "metadata": { "image/png": { "height": 248, "width": 386 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "R_sub3 = R[(R.index> '2015-01-01')]\n", "mu3 = R_sub3.mean().values\n", "Sigma3 = R_sub3.cov().values\n", "Rho3 = R_sub3.corr().values\n", "\n", "print('Mean:', mu3)\n", "print('Variances', np.diag(Sigma3))\n", "print('Var-cov:', Sigma3)\n", "print('Correlation', Rho3)\n", "\n", "mvf_portfolios3 = Markowitz_weights(Sigma3, mu3, mup)\n", "mu3_mvf = mvf_portfolios3 @ mu3\n", "sd3_mvf = np.diag((( mvf_portfolios3 @ Sigma3) @ mvf_portfolios3.T ))**0.5\n", "\n", "print(np.linalg.cond(Sigma3))\n", "sigma3_inv = np.linalg.inv(Sigma3)\n", "ones_vec = np.ones(Sigma3.shape[0])\n", "min_var_p3 = sigma3_inv@ones_vec\n", "min_var_p3/=min_var_p3.sum()\n", "plt.bar(R.columns, min_var_p3)\n", "print(R.columns)\n", "print(min_var_p3)\n" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.013478190320770416 0.0011343138763670057\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 50, "metadata": { }, "output_type": "execute_result" }, { "data": { "image/png": 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41Z+CDxGRAaRs3YnKRgNOpZUMpO972i5TUS2canGrLwUfIiIDRFm7E5WJBpxKqxho3/c0XaaStHCqkqF+SjHPh4iI1Jfy1yejAafSCgbi991LUjBiRN/ng7pMaRLLxlLLh4jIAKDuRMlowGnzGUhdi5IaqN/3pEkK1MLZWAo+REQGAN1sk1GK1+Yy0LoWJTWQv+9JkhSohbOxFHyIiAwAutkmpxSvzaHsmckaSd/3aGrhbCwFHyIiA4ButukoxWv5DdSuRUno+x5NLZyNpQHnIiIDQJrBmCLNYCB3LYqj73s8r4Vz1iyYNs09rlw5sLvrFUUtHyIiA0TZuxNp4HA0nZ++1LUoWtm/72WgFs7GUPAhIjKAlPVmq4HD0XR++lPXonhl/b7LwKZuVyIi0lADcU6CNHR+ghXdtai723XNmT4dZs8euOddpFZq+RARkYbSwOFoOj/hiupapJYnkfwo+BARkYbKY+BwK4+H0MDqaPXuWqSUviL5UvAhIiINVevA4VavldbA6sbKu+WplQNlkSQUfIhI09HNu7XUMnB4INRKa2B1Y+XZ8tTqgbJIEhpwLiJNpavLBRynnQaTJ8Opp8KoUe55aU61DBxOUivd7DRnQ2Pl1fKkxAEijlo+RKRpDIRa7oEq68DhgTIeQnM2NE5eLU9KHCDiKPgQkaahm3dryzJweCCNh9CcDY3htTyFdZdKGgAOlEBZJI6CDxFpGrp5SzWNh5Ai5NHyNJACZZEoCj5EpGno5i3V0tZKK1mBZFVry5MCZRFHwYeINI1G3rxVaC2vpLXSyjQkjZRX9y2RZqfgQ0SaRqNu3iq0ll9crbSSFUgZKHGAiIIPEWkyRd+8VWhtDUpWIGVRhsQBasmVRlLwISJNp8ibtwqt5VBrYUnJCkQcteRKoyn4EBGJoEJr4+VRWFKyAhG15OZNLUjZKPgQEYkwkAutZbix5lVYUqYhEbXk5kktSNm1NXoHRETKzCu0BmnlQmtXlws4TjsNJk+GU0+FUaPc80VKUlhKwktWUP1ZKtOQDCRqyc1HXKVIT09j9qtZqOVDRCTCQEyPWaauGXkWlpRpSAa6srXklqF1NQu1INVGwYeISIyBVmgt040178JSmmQFzVowEglTpu6HzdxtSS1ItVHwISKSQNoMW81ccC3TjbVRhaVmLhiJhClLS26ZWlezKFsLUrNR8CEikrNmL7iW6cbaiMJSsxeMRKKUoSW3TK2rWZSpBakZKfgQEclRKxRcy3ZjrXdhqbqV6rXXmrtgJBKn0RMdlql1NYu0lSLN3BJeD6UKPowxI4GpwJHAW4DngNuAy621L6VYz3BgCnAssDPwInAXMMVa+3Qe2zbG2Ihd+J219l0h2zkauBj4V2AQsAy4zlr7gyTHJiLlFlejN2cObL11uW9CZemaUb1P9SgsBbVSDR0avUzZC0YiZVem1tWsklaKNHtLeD2UJvgwxuwOPAh0ArcDjwIHABcCRxpjDrLWvphgPW+prGdP4F5gDrAXcAZwlDHm3dbaFVXLZN32k8D3A54PC3DOB67BBUM/Bl4DTgC+b4x5m7X24rjjE5FyiyuYXnABbNzY+//OTjj/fDCmXMFIGbpm1FtYK9WGDdHLNUPBqOxUEzywla11Nau4SpFWaAmvC2ttKf6AuwELXFD1/Dcrz9+QcD3fqbz/G1XPf7Ly/F15bLvy/MIUx7cb8Cou8NjN9/ybgb9W1vfuGs/h4nHjxlkRaZxZs6yF7H8jRlj7+983+igGhiyf1YgR1nZ3N3rPm9vvf+/Oo677gW0gXAdxvzGzZjV6D7MbN26cBRbbDOXVUkwyWGl5OBxYBVxb9fKXgY3Ah4wxQ2LWMxT4UOX9l1W9PBPXUnGEMWa0b5lctp3AmcA2wExr7SrvSeu6dP1X5b8fr3EbItJgUZMSJqFJqooT10o1pOpXv5XndimKJmcTj9e6OmsWTJvmHleubK2uSM0+tqVeytLt6rDK46+ttVv8L1hrXzHG/AYXILwLWBCxnncB7ZX1vFK1ni3GmLuBj1W2533ktWz7TcaYM4GdgHW4CPC3Ifv2nsrjXQGv/arqPZGMMYtDXtoryfIiUj9h4yWGDOnb3SqKBjUXI6771MyZbnxOq3Y7a4Rmz3Ik+Wr0wHe/enQFbIWxLfVQluBjTOXxsZDXH8cFAHsSHXwkWQ+V9eSx7X8BbvI/YYz5E/Aha+1fku6btfY5Y8xGYKQxZjtrbXfIvohIE6geL2EtXHllunUM1BqxIsX1Oz/pJAUbeVNNsJRRvQaFt8rYlryVJfgYVnlcF/K69/yb6rCerNv+JnArLph4Fdfq8HncAPJ7jTHvsNY+k3I7Qyrviww+rLX7BT1faREZF7WsiBTDq9Hr6YFRo2D9+nTLN2ONWLMNIi5jVq9Wp5pgKZt6DgrXb0ywsgQfTcda+5mqpx4CTjTGzAOOx6XT/XThOyYipRLVzSRMkTVieQUMzZpOciBk9SqTRtQEN1tQLMWqd1dA/cb0V5bgw2sNGBbyuvf8y3VYT17b9tyACz4OCdi3HSrrC0rbG9cyIjLgtEKhIcmgZv9YkCJrxPIKGJo9nWSZ+p23uqJrgps1KJbiFNEVUL8xfZUl+Fheedwz5PU9Ko9h4zJqWU9e2/Y8X3mszo61HBd87An8n/8FY8zOlfc/rfEe0khlKuy3SqGhrIOa8wwYNIhY0iiqJrjZg2IphroCFq8swcd9lcfDjTFt/qxTxpjtgYNw4yDCMkl5fgv0AAcZY7b3Z7wyxrThBo77t5fntj3ezObVsfK9lXUdSVXwAbzf9x6RhihTYb8ZCg1JA7WyDmrOM2Ao4yDiMgXS0l8RNcEKiiUJDQovXinm+bDWPgH8GjcR33lVL1+OaxX4kbX2jc4Jxpi9jDF9UstaazcAP6q8/7Kq9ZxfWf/d1jfDecZtv90Ys1X1cRhj3g58pfLfH1e9fAuwCTjfGLObb5k3A1+q/PeG6nWKFKFsufeTFBoaqavLFWhPOw0mT4ZTT3WDyru6+r/X62ZSPffH0KFwXvUvToHyDBjKVnOY5vOR1lXGoFjKJ+w3eqAPCq+nsrR8AJwLPAh82xgzEXgEeCduHo7HgEuq3v9I5dFUPf8l4FDgImPMO4DfA3sDxwBr6B9gZNn2RcAkY8wDwFO4oGIvXKvGIOBG4Cf+Bay1K40xnwW+DTxkjJkLvIbLjjUSNyN7dYuISCHKVkNY5kJDllYZr5vJlVfCjBlujMeGDTBlClx7bWNal/IMGKJqDjs7YdMmmD69mBaIZmg1k+zStGiVLSguC7UK9qdB4cUqTfBhrX3CGLM/MBVXiP934DngW8DllZnAk6znRWPMu3Gzkx8LHIwb4H0LMMVa+3QO274N6ADejpsYcNvKNn4F3Git/XnIvl1jjFmFy4T1YVzL08PApdbaHyQ5PpF6KFthv8yFhjSBWnc3zJkDv/oVvP46LFjQf6LBRhWK8+xqEDaIePhw2LwZzjyz77rDgq08CkVlC6QlP2m7hpaxO02jC/5l6l5bNhoUXpzSBB8A1tqngDMSvre6xcP/2lrgwspfPbZ9Gy4ASc1aewdwR5ZlReqlbIX9ogsNaQoESQO1ri448khYuzZ++40oFOeddai65nDkSPj852HNmr7vCwu28ioUlS2QTqLRBdJmkKVFq2xzLDS64K9WQSmLUgUfItIYZashLLLQkLZAkCRQ6+mBo49OFnh4GlEozrurgb/mcPbs/oGHpzrYyrNQVLZAOk6jC6TNImuLVlm605Sh4K9WwfRUMVAfCj5EpHQ1hFBMoSFLgSBJoDZ/fnjBO0yjCsX16mqQpgUiz0JR2QLpKGUokDaLWlq0ytCdpgwF/2ZsFWwkVQzUj4IPEQHKU0PoF1doqLVWKkuBIEmglvYmXrZCcR7StEDkWSjyPp+jj+4bAHZ2li9zTRkKpM2i2Vq0qpWh4N/s57BIqhioLwUfIjlatmYZC1YuYP2m9XRs08HEURMZ2zm20buVWKNqCLMEEXnUSmUtEMQFamlu4q2azjFNC0Tc+XruueKyZRWpDAXSZtFMLVpBylDwL8M5bJZuTKoYqC8FHyI5WLBiAVMXTWXRk4v6vXbIrocw5ZApTBw9sQF7Vn5Zgoi8aqVqKRBEBWrHHQdDhvTPbOV36KFw9tnlvfnWKk1XvqhCUVsbXHdd/+Wjro3qVg9w/y9bjWUZCqTNooxdQ9MoQ8G/0eewmboxqWKgvoy1ttH7IDkxxiweN27cuMWLFzd6VwYEr5XjvpX3cfvy27GEf5faTBs3TrqRM//1zND3DEQ9PW7yt7AbclhBcfZsN3FcmFmzktVKZdl+0pq7adPcPB617mOz6+lJ1pUvqGDS1gZbtvR/b9S10UznPev1P5AlvZ7KqCyF70acw2a71vO6x7Sy/fbbjyVLliyx1u6Xdlm1fIikFNXKEWaL3cLZd5zNrsN2VQuIT9am7Sy1UmFBQ5qawDSFh4svhpkzgweeFz3xXpGCznOSm3R1V7bnnuvb4uEXdm309LhJHKOUpcbSO0/HHuvmglm3rve1rDXRzdKlpRZlGDyeVVnG1TXiHDZbN6YytFS1MgUfIinctOQmPnbnx9hiA6pjY2yxW5i2aFpdgw9rLevWPQDAsGEHY0zodDilkLVpO213lbigIUmBIG1Xr/Z2uPPO2ifeK0JehdZaa3b9haLp06Pfu2JF//1+7bXorm5Qjq5MQeepowM++EE45JBs578steoDSZbvTZqCfysFk83WjanRXdRanYIPkQSWrVnGdQ9dx/Vd10d2r4pz/5P3s2zNslwHofsDjsGDd+SPf5wAwAEHPMp2243JbTv1kLXPe5paqaRBQ1yBIEvNXa0T7xUhr0Jr3tlh4q4Na917/NsbOjR6maFDG19jGXae1q+H226Dq65Kfw0oM0/x6h3stVowmfa3vgyBV1laqlpRW6N3QKTMFqxYwITvT2Df6/fluq7rago83ljnygU57Fmv7u7l/PGPE/jjHyfw/PNz33j+5ZcX5rqdevCCiCBRTdterVT1skG1UkmChiSy1tx5gc2ll8LWW8dPvFekuEJrT0/ydeV1nj1R10Znp+vSVr29DRui1/m5zzW+4JD3earXOiVcnt+bRqy/EdL81nd1uYL+aafB5Mlu7MWoUe75ovl/v085pfG/H61CwYdIlWVrlvHt332b4+Ycx/t+9L5UYzuSWL9pfc3rsNby8suLePnlRbz00n1vPP/ii3e+8W//82WVJoio5tVKzZrlBhnPmuX+X10rmFdzfx6ZicrW9SDPQmuSY+vudp/T9OluQGdUISrq2jj//PSTOHZ2unE4jVaPa6Bs11Wrq3ew14rBZNLf+lYMvKQ/dbsSqcgykDyLjm06Mi0X1r3Kb8OG3kxnzz8/l4UL5/Z5ffz4pQwZUq55R2pp2k7SXaqWoMHf9D9ypCvABhV6kw5ALFtq1TwLrVm6ScWNcwi7Nq64Inpb1WmOy9RPux7XQNmuq1ZX72Cv7MFk1i5RSX7rm21gumSj4EMGvGVrljH9genMXTo3l25VcSaOSj7gPEnAkcYLL9xRuuAD6pt9JWvWkqA+18OHu7+1a/uuI2nBtmwZVPIstEYdm9dNqjpwW78evvMd9xfWn7362ujqcuMionzzm258Rxn7adfjGijbddXq6h3slTmYzDOpRJCyB16SD3W7kgHLP55jztI5hQQeE3adEDvY3N+lauPGRwPHc2QxYsRHGDnygprW0YyydO0Ka/pfuxYGD4Zbbonu6hXGWjj33P4DoxtVM591zE2QWrtJJelW4X0ur7wSva6tt+7fTztNl696qqWrYZHrbLSyfF5B8vzeNGL9WUV1iTrsMPj+92v/nOICqz/9qXzXg6Snlg8ZkGpJmZtVm2lj8iGTY9/nDSAH2HXXL7/x/JNPXp5pu8Zsy557Xs/OO5+eaflWkLZrV1TT/5o1rnB76aXp9iGoxnDIEJf96uKLG1NArCWdZFDXi7Dz/I1vJNufuG4VUZ+L39NP9/1/2TIH1SOLTitl5inb51Wt3mlYy5rmNer7t3EjnHEGfOELtX1OUa14APPmub8yXQ+SnoIPGVDySpmbljfDedQcH14XqxdeuP2N57IGHH6jRk1rmsCjnukV03TtyrvpP6zGcONGuPba+g6EjjunWQqtcYXD6vOcpptI1LnNkhygrGlo69HVMGidZUhZmkbc57VsGdx1V32PJ8k5C/reHHGE27e7765938oYTCb5/tX6vQoLvPLejjSWgg8ZEIoaTB5kwq4TmHzI5MDAwz+m4x//eJlly47JffvPPfcdRo78FG1txXzdsxZ26l3bGbVf1a+NHBm9rrR9rhs1iDLpOU1TEM5SmI+rzfSLOrdJznt1t5Qizn1ZC/hlb0EIEvd57b578GzweR1PmnPm/950dcHYsfme67LN5p70d6/W75U/8Jo/37V01GM70jgKPqSlFT2YHMBgOGavYzhst8OYOGpivzEeRQQcgwZtz+uvu47xPT1/Zc2a2ey004dz3061rIWdetdOR+0X9H+ts7P/wHL/ckn6XPsLpH/6U/R76zGIsl7nNEthPmltZty5jQtiOjv7d0up9wDWshbwy9riEyfu8/AHHpDv8WQ9Z816rtNKU4ng/xxrmQl+xYrw4KN6O9I8NOBcWlIjBpMDjBs+gTv+8384YfN81v/PJ/nTPWPfGBjnDSRfvfrHbwwif+aZb+W4dfPGv15//RV22uks2trcL/zzz/8sx+0EqyU/ez3z2kft19FHu7/q17zB0Z2dfZ9P2ue6epKsqJsn1Cd7Tb3OadbCvH9elnPOgWHD+r6e5Nx6Qczw4f1fGzLEnefqAn89MwflPSdBnoOsm3WuiCyfR17Hk/WcNeu5TisssUEQ73OsdcLAWlOllzVpwUCnlg9pOYUPJt9ioOtceOgTrHp9LGdO92f2sUyY8ABXXAH77ts/Ve7LL9+b225ss80u7LrrFP761wvYsqWHf/zj7+y3XxfPPDOT0aNn5LadMLV0b6mldjquVi1u8HiYtWtdVqutt07X5zqsQBqms7M+2WvizunNN7vHtF2EaikMeLWZp5zi0uVm6c++774u41i1jRvhxBP71zJnSUObtKY2zy5debeglCVladpa7zS16355HE/Wc1aWc10ErxJh7ly44ALYsKH/e7zvVR4tQnmmSi9Di2ReytrVMykFH9JSblpyE2ffcXb9WzosrqFhSxvccSP84UwAqnvp7LLLci67bAKvvgp/+9snct+NtrYhbNniZlPbtOlvtLVt1SfgGDy4gz33vD737Qap5QactkDr/fA+8AD85CduvghP9Q2mlhv/00+nz2qVNCOTZ/NmWLo0+w0x7CYUd04XLHB/aW/Iec0pkbU/+/z54UFjUIE/beagBx5wrWFR15Qnr0JnPbrtlGGuiCwFwLDPq6Oj72dSLY/jyXrOynCui9TeDqef7sa4RH2vZs+uPTjPkvmr1bvBtUJgpeBDWkLhA8oNsGoC3D8ZVgZlsLK8/e0P8P733/TGM2vW5B8EbNmykZ12Oos1a2axZUsPzz//M3ba6cOFBRx+tdyA0xRog354/apvMLXc+LMsmzbYWbs2+w0x6iaUtAY57Q25iDSgUbV6WQr8STMHPfAAHHoobKlqNPXmMZg5E046qXe5LNd80LHVY1B8oycerKUAGPR5HXkk7LNPfY8n6zlr9LlulLjvVV7BeZ6p0vMepF50C0SrBFYKPqSpFTmg3BtIvv2Lh/GjyybC89WTBbqAA2C77V7mq1/NbyC5tWB6h3T0CTiK7l4VppYbcNICbdIuTf4bTNzM2xBck5610FBLn/U0N8QkN6Ekg7zTbr+7Gx57zI3beOEF2GEHGDMmOntYmhtyXK1e1iA3rqXFO5/VgYcnaB6DtNd82LEde2zkIWVqvWv0XBG1FgCDPq96H0/Wc9boc91IUd+rPFuEGpkqPUySFoi8g5NGZU7Mm4IPaUpFt3T40+X29MCvp0Lv998FHfvs8xvOOedLddm+MXDnnWfx/vfPYtCg/gFHmu5V9aqpqfUGnKR2K02XJu8GE7dfDz8MZ57Zt9DZ1gYzZmQ7L0X1WU96E/LO6c03u25WtWw/6mbrnataugQkCajqVcs8f37/TEpBqmsYk17zL74I73tfcLamOXOit5m19a6Rc0XUowBYxPFk3UbccmXqo1/UvjSqReitb41+PY9ucEl+q5Yuzb97VKuML1LwIU2l6JaOk/c9mUsOvqRPutzeAodlxIgH6Ox8kksuqU8a27VrO9luu/Vsu+2rDB/+d158sYt3vCP7eI569xWttXAQV7uV5ofVf4MJ2y8Iru3essXNPP6f/5n+ppw0rWzU/lYLKiwkvQn5z2lU8BF3Q05ys4XaugQkDajqUcuc5try70uSa76rC9773vAxC+vWhY9pqLWQ1qi5IuKuJ5vx57uI48m6jbDlytRHv8h9aUSLUFeXa50Mk1fQE/dbNXeu24+8u0e1yvgiBR/SFBrZ0hFk/Hh4+OHl/PnPEwJfr0V39/Zst52bo2P48DXceONX6Ox8ittum8HDD3fQ3p5tPEdRfUXrWThI+sMadIMJ2q88BkQG8QqkF18M112XbX89YYWF886LXudTT7nP3PtMa62FTJpOtJbzmTSgqkcNeNqbtn9fo65573sXNVga4IMfhNtuy7eQ1sja9uOOc90aw5IDzJzpvh+t3CUJytVHvxH7UmTrm3d8Yddc0DxAWcX9Vv3iF/W5t7TK+CIFH1J6RaXONRjO3f9cPjH+E/0mBvSz1rJ69Q959NHT67If2233CgsWnMVBB81i2217GDv2//j2t++o+Uczz76ijSrUJOnSlKbAVs8m7PZ2uPJKuPXW6P2NuiFGFRZmzowu3H33u27ei7vucgWAsFrIYcPgZz+LP195nKu496Sp1cs7yE3bXS5psJK0q+Ahh2RPPxyk0bXt7e1w/vkwZUrw62vW9P/NKVPXpLyUqY9+o/alqNa3uO/ajBn5Xfu1tjBkvbe0yvgiBR9SagtWLCgk8Ggzbdw46UbO/NczQ99T76DDP4j8+OP/zmOPdfHSSzMZNWpGLjVSWQqPQYWBPPqxJi1kBL0vrAB98smuAJemwJKksFtLgai93RXsgzIoeaK6n8TNUTJ1qgtCwgKQtWtd2thVq9y+jB/v9sefSnbdOjc/Rtznl0dzf9x7Glmrl6a7XJp9SVLI8NaXVyGtLLXt/iQZQfznptHBUr3Eff7Ll0e/nmdA1irjBcLE7f/TT/f9fy3nNu636qijoieXrSV4aeRYrrwo+JDSWrBiAcf/9Pi6Bx5xXazyDjqM2QZrN/n+vxXW/qPfIPJ3vKMDyC9lbtrCY1BhoLPTzUuxtmpCkzSFmqSFjKj35fXDG3cD2WUXt/5aCkRPPRUeeAA8/7wbD/CpT/XPGhV3M/3HP1ympO9+N/w9/hrmnh4XaFR3AYr6/Lwb9GOPuSAvaFC2vzBeS/DgBQBHH903oMqzu0SU6pu6tf2DuzQ1jN3d8Nxz0e8ZNiz/YytLbXvS35yyBEv1EHcOrr7aXe9Bvyd5B2StMl4gTJrjq/XcxrVA7Ltv8JgP7z21VqQ0aixXXhR8SOl4g8rnLI1JAVODsMHkftZa1q17gFdffTLX1g5rNzFo0FlY61o5OjoOZMiQves+KWCaWuWwwkDUjOBJCjVJCxkvvhg8QNf/vjx+eKNuID/7mSuo11ogSlKbuH69a8Xwb/vxx92+Rfn2t5NlaPL2IW2hNOgG3dbWN5iqLow3c5eAoJrQiy/OFujGzUcDbpD5ihUwfHh+xwDlqeGO+s0ZOhRee839JpQlWKqHuO5869cH/57UIyBrlfECYZIeX17nNq4Fopl/C+tNwYeURlGDypO0dPQGHfllsfJnrvr97//O6ad38eKLvZmrErMWnnfzibDjwfF9G+gtVB17bPiM4NbCrFnux/S559KnioX4Qk2SQsYee7iUpGEDdPMujITdQPIqEKWtTVy9GiZMiM8G1NaWLPDw70OaQmnYDXrLFldoDmqpgdq6BIQNGF2zpv414FE1oWmvtSTz0XjrzjvwgPLUcEd1ZduwoXfelHrMc5JUd7dLdfyrX7n/H3VU34kka+Wdg6A0y57Vq12Qe+WVvdutR0DW6PEC9R7Tk/T48jy3US0QrdA9ql4UfEgpTL1/KpctvKyu6XMNhhsn3chHx3008n3d3cv54x/zyWK1ceP2DBnSP3PVd787g5137uCUUxK0clQHG+uXwz2V/Tv6UegYE7l4UKGqeozE0qX9uxdlEVeoSdL/+aKL4gvVeRdGgm4gedUeZ5n3Iy7wCEvLGqSzs7fGL03++6gb9Pr1LvAIu+lm7RKQpVCQR4Em71rmuIGv557bt6CZt6hMU14NcFGDu8ePh2XL4Etfgu9/37V2+K1e7SpEotQrWOrqcjOn+7uRzpsHn/lMb6KGPIwfDxde2Nu6GeS661xyCq/bT71arxpVIC5qTE+S4yuyZbDZu0fVi4IPaagFKxbw6bs/zV/W/KWu2zG0cd2RN/LRceEDygE2bFjKQw+9LbftDhnyCnfeeRbvfW9v5qpLLnF9aQJ/4IJaNaqDjTULe9+/emGf4KO6QHHkkcGFqnXrXFrPq65y/087J0WQJM32cYWIhx9Oth9F1NzmVXscNo4hq3PPdbOKRxVkPMOHw513un1Im/++EV130m4zrEDzs5/B3/6WvGCddy1z3HHsvHN9C3tLl7qxWdWGD3fXYj0mPwuTpPvZ+vXJxhPlqafHfSerx69B/0QNeRgTXUcE9A128269amQmsaLH9MQV+MvSMjiQtTV6B/yMMSONMTcbY541xmwyxqwyxlxtjHlzyvUMryy3qrKeZyvrHZnHto0xbzXGXGCM+ZVvGy8aY/7HGPMfIes/1BhjI/6uSHOMreCmJTdx+I8Pr3vgwaoJ2B/8msuOOZOuruC3bNiwlIULTa6Bx2uvbQXA8OF/5xOf6OL22z/OV74y643XR4/GBRtrFrk/a3sDjXsmwCuPuTdWBxur/f+/741/dnW5dZ52GkyeDKeeGt2a4RWq0swa7umo6iWWtNneq5EN88tfxm+7qL7JUfuadh/Gj3cFmalTYciQ2vZr553jCzIHHAC33OKyu4wfH5//3pj+M7o34gadZpte4TGoQHPooX2/B6NGEfrdh/wDrUYWbrzPOqhQPXgw7L57dEGwpyf/fUny+3Lyye575VfP7kDz50dXBniJGvLitYDG8X6XjzsuvEve8OHpfn+C7g1x34k8JZ0jqChRn0UrjH1pBqVp+TDG7A48CHQCtwOPAgcAFwJHGmMOsta+mGA9b6msZ0/gXmAOsBdwBnCUMebd1toVVcuk3fYFwOeBlcB9wN+BXYH/AN5rjLnKWntRyC7eDywMeP5/446tldQ9he4WA8tOhkWXwPNuQPlqemtZrPV+EJcxbty+uW76tde2Yuut/8HDDx/Ik0/uzXe/O4Pu7g6uvvp6wHLwXosY/mY47tiALlTVgcaWzdD1id7nuj7ed2N/mwuz5wIwHvj7N2Hs55by8DPumJN0X/rHP9Ifo9ffP22zfVzu/+7u6OU7OoobrBdXe5xl5vPJk13f7qSTDwaxNn5g5cKFffdvzpzoAqC1/Wd0b8Tg1DTbvPLK8MJjdXaxuBrWvIOFRg7sjUvPPHlycYO701Rs5D3PSZw85qVJI00q5zy3W4ZMYmVJgOBp9NgXKVHwAVyHK/x/0lp7jfekMeabwKeBrwAfD1nW779wgcc3rbWf8a3nk8C3Kts5ssZt/x441Fp7v38lxpi9gd8CnzbGzLLWLg7Yv4XW2ssSHEfLqncK3b3bJ/DIDZNhZf8B5atXu0LLtdfC6tWWiy76FuPG1b7N11/v5B//cIPJ+wYd23PwXq4b1QOPHsyYnZezaHIl2NgcEGw8fXvv/6sDjYQmjbvjjeAjzujR8JvfpN9GUH//pM36cePjhw51g1GrDRtWn8xAQeJqj/etIV5NOvlgGG9m6KQ3z64uuOCC+PVWFzzzvkEnuT6SbrOnx7XUpBFVsM47WMjj3MWdr7DXa51XIs+CYNJ1JZ3nJM+uQ3nMS5OWNx4hrvJh9Gh3nEG/P+CeTxokliGTWBm7OWkweGOVIviotDwcDqwCrq16+cvAx4APGWM+Y63dGLGeocCHgI3AZVUvzwQuAo4wxoz2Wj+ybNta+99B27fWPmKMmQucDRwKBAUfA9pNS27i7DvOzn1guT917vzvjmXyyvD3zpgBGzfCu951J5Mm3ZjL9gcNWsPNN3+Fzs6/sXThMWx6dQjd3dv3CTaue+pR9t9lYe9Cq2bDUl/H/YzBht/3F32Ea36doKRJ70DkuMJItaDCWJrBhHE3ms99zgsO+68rz8AjqiATV3tc6w07rHDa0QFf/7obdL8x5JfOv/24m6cXRIWtq1p1YTHNDTrqfKa5PpJsc/785McUdXwea91Ymq9/vW/gW0tNaC2Fm7jzFfV63PdrzBhYsCD89TwLgnEJDiD5Oc57wHLUoHzom6ghT3GVD97v6ze+Eb2epIFdGVodypriV4PBG6cUwQdwWOXx19b2rQ631r5ijPkNLkB4FxDxs8m7gPbKel6pWs8WY8zduGDiMMD7yuW1bY/XiSWgwwYA/88Ycz7Qgeuu9YC19vEE6216X//N1/ncPZ/Lfb3DthnGrf956xupc/8Uc/Pcccdl3Hlnfl2tDIOxbGbs2P/jhzO/zqNX7g3AmIsf5dB9Fr7xvnPfXxVs+P9do820c9Z3ruMHi04PfH3IkP6Ftc2bXdeiJAMhPUEFhbTN+nE3Iq9bUlyhrZZa0LiCTBE37KjC6TPPRA8o97Yfd/NMO54nqOCZ5Abd1RU8MeCdd7pWorTdPuK2mfX8Bx1f0LWwzTYuCP7iF2urCc1SuIn7Pj38cPzrUd+vadPiC755iEtwMGSIa8VLkta2Hl2H2tvd9Vmd7Qr6JmqohyQtY3m1FpSh1SFpS2AjB8U3ykA8ZihP8OEVfx4Lef1xXACwJ9EBQJL1UFlP3tvGGNMBHA9Y4Nchbzu18udf7lbgbGvtS1Hr970/rEVlryTLN8JNS26qS+BhMH0CD4gu3O6zzzKuvTafwMMLOjo2bWbIZrhn/mV9go0Pvns2lx1fn2Cjmt13KnctPz3wtY4O2Hrr/sHH2rXxhZXOTtdS9PTT4T+MaZv1k96IogpttdSCJinIFHXDDiucxgWESbefppCeteDZ0xNcgFuzxj3/jW/k3+0jy/kPOr6wa2HTJvjKV9zcDAcfnH5btYj7PsWN2bjrLvedPfPMvmNf2trc896YpXr2d49LcOAFpklbLOrVdWj8ePfbNncu/OIX7rm85/mI2nZUy1herQVlaXWIO96iUvGWSV7Z+ppRWYKPYZXHsOGx3vNvqsN6ctm2McYA3wNGANdZax+pesvzwBeAX+C6eG0L7I8bo3I8sJMx5pDq1pdWsGDFAs6+4+zc19tm2rhx0o39JgsMKtzuttsybrklr6BjKyz/cEFHx36Mfm4xgy38aOrPeetLvQFGn8Cjzgat/A53/PxTTPrA4H43maj5ILzCSlRhJO6HP0srQR4T0WWtBU1SkKnlhp22Jivo/XkVGJIW0mspeM6dG903/ec/j14+SytG1Pl585thq636FnzDji/qWtiyxQUfN9xQTGHUU+uYjeXL4Tvf6T/ofsuW3qQC3vdvzpzeDHNHHVXbWCa/uBa3GTPSFSjr2RLZ3g6nn+7+ihbVMpbXmKsyDa6uPt7ubjex7WOPwdVX979XFTkovmhR97FDD+37/W3FIKwswUcr+AZwIvAAbmxJH9baZcAy31MbgLuMMQ8CfwQOAibhsm1FstbuF/R8pUUkh+HT+fEGl+c9xiNulvLqwu3b3x5TAkrAWLAGOrbejSEvPc7o9TD4xd5GKH/gUW/re7bntq5j+PAhPwagbeNfGb/DbB5++MOMHp185mtw5yfJ+IEwWVoJamlqrrUWNElBJusNO23tXdT78ygwRBXSo2YpT8OrMQ7zzDPRr2dpxYj7fPbdN9m1HHctbNrUOwt3UTf/WsdsvPBCsu/H0qWuW5n33nnz8jvOuPP69NPp1leGrkONkKWSJui3tYyDq5PM/wLZW7bK3p0pruLDrxWDsLIEH15RaVjI697zL9dhPTVv2xjzNVxWrEXAUdbaTTH7+QZr7XpjzGzgEuAQEgQfzSLvweX+QeVjO6OzOfl/ePbccxkdHV/KvF1rXYamjtdgyGYY/dzjDM43loq1/h9vpWOr3lJcR/sr3LPsfdz7yESuO/1cttumB/72M+767YdTBR7Qe+NO0z/df35HjoyfTdmv1ub1WmtBkxZk0t6w07bIJHl/rQWG9vbwLjjf/jZ85CPJ15XVW99an24fcZ9Pkms5aaG1yJt/XKtX3JiNHXaIXv+KFfmPoagu6EXN5QPuNyONLC2BZS98JuX9LnvH841vhB9P3G9rWQZXp5n/BdK3bDVDF660x1RUZrKilCX48BqS9wx5fY/KY9i4jFrWU9O2jTFXAZ/CzfdxtLU2ZqaCQM9XHmucfqw88h5c/vYRb+ebh38ztKXD74EH3ODX9evz6W5lDLxpE+y7lmKCjsHbu79Xn33jqUe2mswfFvyBp17YhUuO/QrbbdPDie/8GR/4xh10PTGe2742kz0OmsGKGek2lbbw193tbn5exjDPm9/cf1B7HoPTg8QVGOMKNmkKMmkCsrQtMknfX8vNpqfHdbWJ6oJT62DPo45yteZhPvABV8Nej24ftWarOe441wIU1TXRU9TNP65VJ27MxuMx6Uu8NK55jaEIKuhVT0Jaq7Qtkc1Q+EwjyfGUYT6PpPJIhBGmWc5Dlta6oudDqaeyBB/3VR4PN8a0+cc9GGO2x3VJ6sbNoRHlt0APcJAxZnt/xitjTBtu4Lh/e5m3XRnjMRM4F/gf4BhrbU+Sgw3wrspjS1xaeQ4uNxguP/RyJk+YnOj9DzzQ218yl8Cj0tVqkK1f4PG6Hcwg40uOtvkV+Nevw5Nz4IX/gy2b2H+nOznmF3ewejXctvhYzj98Jp+f4yKNFzePZeRx18NW6X7Q0hb+gjIaeV6qSpXQ0eEGzVXf6PMo9EQFD+AK1WPH9t+2v3B93nku006ScQFh66guoC9aFL3f1TX0RWTUSnq+kxRuwo79pJPgM58JHvcxfHjveImydfuA3oxH1X2swxR1849r1Yl6fd9944PruDSujz7q+uLHBaJhBb24YC5ttytI3hLZLIXPpJIeTxnm80iqnokw0p6HRrWQxd3HgrRS98JSBB/W2ieMMb/GBQfnAdf4Xr4c1yLwHf8cH8aYvSrLPupbzwZjzI9w6XQvAz7jW8/5wG7A3f4ZzjNu2wDfBc4CfgX8h7X21ahjNMbsb619KOD504CTgNeAn0atoxnk2eJRnUI3jvcjnVfgAb6uVglqRpP6x+uD2WpQb7AxyGxm8w6HsfT5iYy1X2Grth5ef+pOBr33Pnh5GTw2k0H/OuONmr+HnxnLubdcD/QvMCf9QevocFmuks6bEZe9ptr69XDiif1v9HkUuL1a0LBAaM2a/oWMsNrZCRPcsb31ra6GPmrAbVQBfd994cc/jt7vefN6WwhGjHABUJQ8bjRJzneSws3SpdHByV13hafa9T6DsubUP/hgNyP8pEnxY6XyvPkHFXqsTV4QCjufUXPIHHusW39c6+C3v933XHR0wAc/6GYhTzofTpSs5zHJNdToQnjehdmkx5MkEUGjeefmT39K9v4sraNp7jGNbCEL+562tQVXhDRyPpR6KEXwUXEu8CDwbWPMROAR4J24eTgew42J8POySVXPl/wl3AR/Fxlj3oGbjXxv4BhgDS7AqHXbU3CBRw9usPgXTP9pm/9orb3N9/95xpjNwEPA07hsV+OBA3BzgpxjrV0VsG9NI+8WjzSBB7gftXXrag88vNaObTbD23LoarXFDqbN17Kx1aDN3LvsMBYsncilx32F9q17uPf+IRzxX5ewz1tdq8aV98xgzq0wfvxYOMAFGklq/sJ+0KqtX+8KjHl0KQoTdKO3MecyaaFk/HjX9euMM6K3feyxLhvTJz/Zf9b09evh/vt7/z9/fviA27gC+tSp6Sa9W73atbykGSvjSVO4STK+Ja5w86lPwW239d9Pf3AyfjysWlW+lo2kDj4YnnvOXSsXXND/WoH858Covp68igB/C1LWgpD/t2LRIpfVat06lwXrO99x193w4cGtVW1t/YOw9et7l00zH06QeheiGjmpXj0Ks0mP54UXot8X93q9JR1gPmwYXHhh9kQYScf0laGFLOievssuruKu0ZnJ6q00wUelBWJ/YCpwJPDvwHPAt4DLk86BYa190Rjzbtzs5McCBwMvArcAU6y1/Rp8M2x7VOWxHfhiyK78ALjN9//rgffiunHtgAuangG+D1xtrU1YF1BOeafT/d4Hvpcq8IDeH+EDD8w4Zt8Cpm9rR5bAo7plo81sZv22h3HtrRO58L1uvMbGTUO46XeX8B8XHsuffzaTC3/gulD5WzWOPNJ1T6gOLuICBu8H7cMfju6Ln+YmnPWG7V+upweuuir8vWlnFI7rurFokZspPE3QFHbjiSug33RT8m141qxxQUv1bO7Dhrkua0E3mrSFmyTjW+K64Hz3u+GvrV7tCuynn+7299hjXUF3/nz3V9ScCXnwUq6OHVvMHBjVn0lQIFBLQai93X2+F13UP5hYs8YFH9XBb5LxL/59iivoDRvWd9tFFKIalRmrXoXZpMcTl2jguefcPjbiu5h0gHkerQ5Jx/Q1uoXME3RPL2MX1byVJvgAsNY+BYTUZfZ7b7+mBt9ra4ELK3/12PbpwOlJ111ZZgYwI80yzeSiuy/KLavV1977Nc781zNTLzd6tOXgvR5gx83/iH9zkJwGlge1bHQMH8KnvncJ984/lp3Wz6Rn3AxWToO5c8dy5g3XB65n7dregl1aXsEjKvhIcxPOesP2Lzd3bv+xIX7nnJPuBzZun37yk2QDiasF3Xjigq80rR5+xrhAw0uQAK6wduKJ/W/CWQo3ecykHOeCC1yBHfpPNjhvnhsPctdd5RvoG9aCVO+0pGlbEWspCEVta+1auOUWNwGpd5zLl7uAOOk+xRX0Hn4Ybr+9PnOJhGnUpHr1KswmPZ64iUnnz4dRoxoz6D7umj/hhN75jWr9niVNTtDIFrI4Ze2imqdSBR/SnKbeP5U/r/lzzesxGL73ge+lDzyshecf4Pj9nuSYyz9MV0yaxyjpBpa3Ab2dM3/2u+M56h2/fKNl479+fgm3LT72jUxU7VvBUaeMBa7Hm6glbo6EX/wi++RXed6EswyOGzbMFWZmz3bLxx3rI49Ev55mn4zJFnh4qm88cQX0gw6CZcui3xNk5EgXaARNrnX00a4rU5L+9VGFm1pmUk5iwwa3r9YG196vXdv/WBotbAyQf1xDvW7+WQo1ebQ8Bnn6abj00t7/z56dbt1xBb0nnqjfXCJhip5Uzwtib7kl+n3+zyJN18mkx5Pke9yoQfdx1+G//Eu+37ckFQj1biFrlVTP9aLgQ2qyYMUCvrzwyzWvJ+3gcuCNoIMNT8JvP8w2wN9qSPG4zWbYO1HnPuePTGOfcf+EeehctmrrYdutNjF+clefTFQPPzOWuSuu59KtgtcRNjN0HvK8CYeta+hQOPVU9yPr777h9Rv3alFHjOitHQ/zyCO9gUqSfWtvd60GQZmK4saWxKkekBsXyH31q65gFfR5GhO8PyNGuMewwsKaNXDllTC5kuitlpq6oJo0/83xYx+D6dOzn7e4RARr1pQn205UhqagcQ2evAoTWQo1ebQ8Jnk9TSAaNx8OuJr2RvSpL2pSvaTjGKD3fGUZF5LneL9GZL5qRFe4uNaDeraQtVqq53pQ8CE1OfcX59a8jtSDy6uCDs/GwfDM0Gz7sM1mGP98fKvHHX88nol7u9aNp5b8H0dedAeXfWo89jEXcLzS0/HGmA1P2A9rTw/87nfR2zvqqBQHESDPm3DUur7yFZgyxXWz+N3v3LH5rV7d/7lqy5a5QCbNj/Rf/5osRWpa1el6k8y9EJbx6Wtfc+vzLzdkiMt2tXJl9H5Mn+4GIJ50UvwN+q1vTZYeFdIVmvJSdDeGsGAhSben6gJynoWJtC1NtRSE0hawkhZgk8yHM3t2Y/vU17vrSpqJ8oYOhddec5UTWceFNGq8Xx4a1RUuSr1ayMowkL0ZKPiQzG5achOPrY2b9zFeqsHl1sLKH/cJOjzPbpdt+1vHBR67n4VdOQuzpQe29G3deKUHvnyV60r1SkDhOuqHde7c6LEC223nCp1JhRW28rwJB60raUF2/XrYZhvYtCn6fUE/0kHHtnSpy2KV5Ri22iq6W1ZQul5/8LV8ucses8MOblK3ffeNzvj0n//pWjG+9jXXTWnjRhesDRsWva+vveYyen3hC66VJ+wGPmSIC3Cef773ubDa+7DsX3GSTsYXptbWqDSigoWkBS//uIY8CxNhhZ6obFdZJ4LMUsAKy5SVZFm/Mvepr5alVSvN2J0NG9z3OOo7lFdAlvd4vzwU3RUuqXq0kJVlIHvZKfiQzL644Is1ryPx4HKvtWPNb+DPXwp8y+AMNeBtr8MBQYHH7mfBqlnweg/0/J1fbunib/cEt26EZS2K+2GNGwPxrnelmwCwEc28aWr/ID7w8Ph/pIOOrbMTNm9OX4Bua4O774b993frnzfPPcbtg6e9HfbYo38WLf+5DruxXHtt//2Nm1fCvy8nnugCkOo0jOCCmepANkntfVIdHW7OjqBtJzVzJlx8cf0LGnE1j1dckXxdK1bUpzAR1VUprCCU9TsetK0jjnAtdXffHd6F55RT3N9VV/Uu+9a3utfvvtsF3bWmefZrVB/5rOc1Lnjaaiv4R1Xuk7jgPa+ArIwtDUV1hUsr7xayZgq6G0nBh2Ry05KbeL77+fg3Rq3jAzclDzyWXREadHiGb4InU+7DWzf6Ao+qgIMjuuCxmfCvM/jDjA4mV3Wn8jMm/x/WtBMABhW2DjvMFfrqle406yRjSURNgJd0ssNqW7bAU0+5eR1OOaW3cBm1D35Zm9TzOE+rV7t9f/hhd30lCVy8VLgnnZQ98Bg2zLUy3X+/S6WbNYtYUeM+4oIFSN7t6f77XaE4StbCRFihJ+i5WrtyeGmQvdaMT3yi72cYVdj29rMeaZ49Zas8SXJe4yZqrA48ksirRaKsLQ0DIYtTo1I9NxsFH5LJV//3qzUtn7jF4+Vl8MtkuRnXZPhBfb5jKLv3vN4v4OgeM4P5d3awcuX1jP5r/I1m9Oj0P6xHHRXdNJ50vEdUYWvjxt5uO/W4kdezFiduArys/Puc9kaRtRY87jwNGZIsXa83S3HSFhOA8893QUuW8zhihJvMcf/9+y4/bBjsuacrNKZRRK1fkgxPScY1ANxzDyxYEP2eIgoTtba+xLV6xRW265XmOeu64yRtRSlTF5m8WySStDQkPU+NapVqxoxRZWx1KiMFH5LasjXLeOKlJzIvP/XQqXz2oM/GvzFF4AH+pLfJvYk3wxG/eqOFg6066DLXM2lM/24+UTMC77JL+m2fdJKbAyFoncOHJx/vkaRAV6/BbvUqeCWdAC8L/z6nvVFkbVKPO0+f/3z/bntBXnjBdedIY+NGN9YkrXPPhWnTYJ99+u/XunXwWIbhXkUU1OO2MXJk/LgGv6ixKtXXSL0KS7V05UjaNTKqsF2vNM+1rDtMmlaUWs5r3CSnUYqafDGqQizpeWpUq1TS7ZYtQClrq1PZKPiQ1K7vCu9+FOefhv4TkydMjn5TyqCjFm07HQFvGgsHuGOK6ubz5jcHp03dssX1hc8y8DQsQ9KddyZfV9ICXfWNPI8f7ajC+7BhcOGFrsB83XXJ1zl8eG0T4HVW5nkJ6poVlKUnzY0ia5N6XJBz8cXuz0tbHGaHHbKdk7RjYwB23tldn2EFw3Xr0g1CHzasmFq/uGxS/kxm/nENH/iAa+kI097eN2Nb9TVSz0JaLV050rQehhW2807znNe6q6VtRanlvMYtG/bd8CZfvOuu4ICsiMJ00vNUS6tULceRdLtlTWlb1vEtZaLgQ1Kbs2xO5mWnHhYzfW4NgcfWGZo+tt62b5NF1I06anZur2Dv9auO+sGt/lF+5JHwG1ESaVJ3ejfyrD/aQTeUsPk/PvMZV6AGuPXW5AWgQYN6Z0E+7rjwFqeODth22/6B23nnwbPPJsvS093tavDPOac3e9WYMeGfQVwQccQRwelukwY5J5wQHXy88IIL6GqZFDCp0aPjC34f/CDcdluyfTn55GJuvt65rg7qPUGZzNrb47NxvfOdcPbZwd/TeqfXrKUrR5rCe1iBup792PNcd9pWlCzn1fsNfOyx/i0Y/mWDkkN0dLh7xF13Bf/GFFWYTnqesrZK1XocSbabdxa6vA2E8S21UPAhqdy05CZe7Hkx07Kd23Xy0XEfjX7TEzdmWjfALhthw1bwYoofnFWrvsyOOx7PkCFuBrxa+qQvWhSdBQmSzayc9gczaW5+cDfyrAWlqBvKsmXw8Y/D7be7gZYbNrhUstde615Pun/g0sUm6WoxaJDLMubVVu+9t5sg7stf7n1P1LmNOp729v6Blpch6NhjgwObGTNcjXrY55+kNiwukLzuOhfIzZjRf+6QWlPh+nmz0z/8cPT7DjnEtRrMnes+/6hsZl6mpCKMH+/O0RlnBL8eVHAaMyZ6fMc++wRfk93d8NnP1nfsQJoWuurrNm68mqetDY48Mvi1evZjz3PdaVtR0rZ8Bv1mtLX1nWvI/50P6toXNpFl3O/ysmXu9yePFpGk5ylLq1QegXiS7ZZpvI6kp+BDUnnqq19gx93g+ZjJ/HbcACc+DNcd0Pvcf038r+iFXl4Gy7+Ved8GW9j29fTLPfvs99hjj6uA2mrwgrIArV4N731v7w9ulpmVk/BudHPnwgUXBHez8W7kWX60o24oRx7pAgH/HBP+170bjncjvvnm+EG83s1n/vzwWeBfeskVeD1BXeLWr3c181dd1feGF3eDDKq1rC5k+AObI48MHhtRfcONqw1LEkiuXu0Cj+quG2H7kFb17PRhOjt7C0Bbbx2fRrmoVLueuD751QWcadPghhuCJ61sa3OvV0uavjhrpUZ1IBHVXSdsf7bfvn+XsSBbtrh1B12f9ezHnue6s7SiJO0iE/absWWL+y341Kf6t5p6c25cdFH/FpLVq13r3BVXwDPPwHPPRX/nR49OnqEsTtLzFPe+555zE6EmncQzaVCQZP+U0ra5KfiQxJ674lIum/cCJ+4Ih30kPADZcQPc9wMYWymMXncAvKX9LXVt9QDAbMXgLenzGz7zzNX80z+dxZAhYyNr4aLGEoQ1v4O7YYwe7bohJRn0mbXJuL0dTj/d1b5H3ciz/GhH3VDCggOP/4bj3XSSZhBKcwMJ6zYTdMOLu0EefXT/QLK6UOoPbNLccOP6QnuFoYsvDh8rs3p1cEHxjjtcsJu2BeTcc12Xs6uvTr7s+ef37neSz6moVLuetAXR4cNdYHzmmX0/67Y293x16us0c9yMHp2+D3xUy1zQOXzxRXjf+/r/Dr3ySvz+eaI+x7z6sQedh7zWnbUVJUkXmajv+Pr1LvBIO1h/zRp3vSURVLGV9V6R9DxFva+tre/vU9JJPJP8ViTZv6juqaCUtmWn4EMSu/Nf2jlwRxdU3PeD4ADEH3gs2xF+to97/qR9Y1I31djq4TZ+ILts//94sueHQLogxGv9iKuFg+DXjj3WtVyEWbfOdQNJotYm47gbedyP8p/+BLNn912m1lok//LHHecCubC5OozpzR6W1w2kev/jjidpAXz1avjwh5NvP2lf6PZ2N+A7yTr9xo93NbBxrRbVdt65f81qHGN6/530c/Lvc5LCeNh7kizrVRYECeti9JGPuM9n8mTX7WzMGNfiETTnTtKB3CNGuOt59OjkfeDTdl3p6soWdFaL+xxr7cfe1RWeYCNqgk5P3OdezxaarIXqetbAh90r8jpPYe+rbgX29iXJJJ5JfiuS7J9S2jY3BR+S2OohlsM+0htcVAcg1YGH/7Vz9z83euWZWz0GA5thu11hws8ZvFUHg//352zenG4CRH/rR1zhPei1+fOjgw9INo+Dp9YbVlQhIW5cwbx57s9fOKo1CPAv397uChtHHBE8iN/a3uxhYX3Qa9l+0P9rETVXi8fa4jLxjBkTvz9B60p7zSVNWRy0TJIgLOw9QeNdgvrPH398+H5EdTEaPtyNVYqT5HyFDTyG6JrrNC1p3nVVa+DhL7DVI+NST4/7Ple3lK5Z455/+unsLUH+AK5emYayfh/rXQNffR3mfZ6q3/fcc9Etst72ag0K4vZPKW2bm4IPSWzjaxt5fiiBAQiEBx67dOzC2M6x0Svf6k3Zdmr4O2D4/m/M0QEwdOjbefnlmH49AZ5//udvDDyPKrwHvZa08DV0aLK0p/W8YSUdoO4vHO2yS3BtVxJBN5zx4+Gb34wfEJyHIUP6bz8uRXCaSfySmDnTncO8MvF44y2CpMl+Bsm7MQQt44nLMOVfJkkQ1t0dXJO/erW7Zqq72FUX5OfPjy+M1xrgx31Hzz0XrrwyWSBRnSXPm0wyjH/fs0zEWT2ppb/AVo+MS93d8OlPh3fRXLvWjVc7/fTg19MG7vXINJS1pj2upTdO3O+R/zqs13nyv2/69Oj3hk3imSUoiNu/Zk5pW7b5SYrW1ugdkObjBSDLKl2wll7n/oICD4CDdjkofqV7Xwwde6XfmbeMd3N0VAIPgH33/W+23z7BNqusWvUlNm5cln4f6C18dXREv+9zn3M/wlGiUjzOmuV+/GfPjh9AGrWM96M9a5ZL7xpm9WpXKDjxxODAwxg3/0kYL7Xk/Pn99zfJgOA8uix8/vP9f9S9z6v6s/BukHGfUVpr1riCaBTvWL3P7BvfcGmDg87v5s2wdGn/57u74b//253zYcP6vvbmN7tCp19QN4Y4YYWI8eNh1SrX5StsO9a6sSxRhfErr4Tddw8PHuLG9kCy66bWAD/qfI0Y4Y4jyRire+91+3Laaa6716mnwrdieqD69z3Ld2TmTHeNTZvWmxp6/Pj4wmuS35xqXV1uf7/73ej3/eIX4a8lCeDqLe43I6zguHSp+76m4U3wOWuW+3yjrjP/vaKI85SkBch/f6m+xvLmBSiXXuoem6EA730n/N/5UaPc8wOFWj4ksY3/6K0q8wKQpddBZ7d7bs12IeNAhuwYv/KthsI/nwRLL0+3U49fD3uc5yYKrBg8uIMtWzLMqgZ0de3L+PFL32gBScP7wf3nfw7uYjV8eO9kcmEzK6dJ8eh16fjb34L7xF95JXz9631bWqpTz55yiru5RXUd+sUvwm9o1roazerZudvbXUuJP5NX9bbrOXeAZ8cde+caqRZVa5YmNXBSy2Li2tGjgz9n/9gKz9q1/Wsyk6RxhvTdGDo73eByY+Jr6Nrb3c3Uu8a97RxxhOuqcdhh8d0Pv/a1bJMiQm9BPMkEcLX2CY86X2ef3TsWKGi8iN/NN/cPqNatC29prC5wpv2etLW5CRXTjmPJMhYtzaD8KGXJbJS2pt07/qAWn6DsfNA3cPUkbUko4jwlbQHSPBe9/K0cI0e6CrHqlrBaEgg0IwUfktgz65+p73J7XwxP3w4v/zHdBn65L/z70j4ByNZb78TGjX9Kt56KWgKQ9nbYZpvoApb3o+zNrJw1xePq1XDoof1zzM+Y4VpYgpr5g9L61lrIN6bvDTnsx7V62z/7WbKbWC0T6m3a5GoevRq3oKbuoBukV8j48IeTjemoVVubK7QGfc5JsniFXSNBqYaL6MbgL3h0dbkUwEm7nWQNPKD3Wo7rejZoUN/rIqvq82WtO9fVXVPCCpoQ/ryXwjUovWqauWGC1hs23iXvwmuaLmFHHRX+WhEVFUmlKVRHHb+1yT5fSP69LOI8aaxFOknTcUPtyWaaiYIPSWzbwdu+8W9vcHlnt2vxAPfvoCxY/uUibTUU/t/Z8NB56Xdu+bfhgBveqCYeO/an/Pa3o9i8OSYPbIiuLjfFdtogJGpeirVr+/+w1JriMSjjSHWq0DBeTcvDD0cHAUcdFV0AHz2673HMnh1f0Fy92nXlChqMW30Tq6UVYv16Nw5h1SpX2EzTl93rilRE8LFli+v+lnasiX8+lDxqrPPuh+wFRUkDj+qxCGlU17pGjUF56aX8ahm9a7+nB3bbLTyJQlQAEsabOyKqwJmlpS4siMi78Jo0WBk+HE6KSIiYdbxFo/vVxx2///P1JuG8+254/PHgDFVx3+GiMkA181iLImVp+UvynWn0dZ0HBR+S2KubXwWCs1pBeBasv637W/KN/DWmY3CYJ74LQ0ZB54Gw48EMHtzB9tuP56WX7s62vooXXrgjVfAR98Nx883uMc2PRdraxjSDwr35IqJqsvbdF77wheQ3tKT7u3o1PPVU/E2s+kZ3xx3w+98nP8Y1a9y4laBjiGvqTlurXIssg9yTzoeS5DMJ67Z1551w8MH93+/dAB97DF54wc0TUj3JWpqa7xEj3BiXKVOSvd9v2LD+ta7jx8M55wRPDghuvy6+uDfNcK038Pnzo4OstIEHhM8dUS1NRiIIDyKiBkdnKbwmCVa8VLtR5z4swBo2rHdMWZIJF2sdOJ9W3PF7n29e+1pkq4S6VcXLkgwi7popw3WdBwUfktg/dfxTZDrdsDS8S9cEjIwN074TvJytuxR//qJ7fPePYMg/M3afuXQ99HY2bfobYID0d/+VK7/IDjtMShyAxP1wLFjg/tL8WNS7S8Hy5e4mEhUEpLmhpdnfRx91A6TjanD8N7qRI9MFHxA9biWqZSBJFqchQ1w3nlpTnablLwzWWmMd1W3r0ENh4cK+AUhUVwL/tZ00EPUyQ0H/8UOesJaDjg63Hf8Yhu5uF3DGzTkQNElalhu4F4jlKW1h3/8d6emBW29NXwMeNjh6+PBshdeo4H3IEDfwfdIkVwFy993RvwH+AGvRIvjJT1zAXt2NNMnA+aL61Sdpich7X9UqUR5pKw7jvvNlua7zYGyW6hgpJWPM4nHjxo1bvHhxXdZ/46++woEfuTQ0qxWEz/XxvUnfi5/hHOAf6+H2UfBatu5Sfbz7R2ze9i385e9fY926hTWtKmn3q54el7UiSW3HiBHJfizSrDOLjg645574QldPT7IbWpr9rU4jmaQA2NPjApC4mdX9TjghuvvUtGkuW0rUNq+8sv9g6KjJJzs7XUEuzX62tyfLKBQ0r0XYOU9ync2e7TKuhBk2zNWme/sX9/l625w/P3q9QfuXdn6P6qQLu+wSPK9GEkm/k35p+nRX9/H3VA8uz6MmM20NadTn2tnpui5mKdhE7Qekr8VNcq3HXXezZhVXax/3OcR997x9bYWuNnHijrHZzkHcZ+sXdN1XH+9rr4Wnpwe45ZbwdNX1sN9++7FkyZIl1tr90i6rlg9J7Og/9bBzROAB9JsH5MSH4boD4Kv/+9VkwcdWHS597nO1dZcC4P8+xGBg0F4Tal5V0jEgafpfJ+2Ln2aW2ajnw6xfn6zWJE1O+Bkzgudj8DOmf1ejJDU47e2upvSoo+D5BHNJdnYmG7cSJSyLU/Xkk3PmwC9/6f5/1FHuZnHOOfH7CO7m8+Mfu8xQQZ/fsGFw4YX9uzZ5+1dLd4u4Grp163qv1SRdCbxrO67bWmdncHepsJrb//zPvs8HBRpZ56Px73fSgmmaPt3GuOxzU6YEB1BPPZVvTXXaGvCoz3XNmuwDYceOha9+te/3whvfERRExP0GJBnfVJbsWBD/OSTZ11bpahMl7hib8RzEzdU0Y4ZLOR/03Qw63uoU5tXOP99938p6PvwUfEhiO39hOlMeup4bRq0NDDw8XgDiBR4AT7z0BMvWLIufbBDg334Kv3gbdKcYKxJhn+X307UjbMrhak8yBsR/s7n5ZtfNKkzSm2DQDSyo4BVWQ7ztti4Q2LQpeP15Ztno6XHbj2tUTZLFKcz48fDkk641YsaM8EHKw4e7/uRpx62EiQrAli6FL36xdxvz5rmCcBL+m+jCha6bV1AWnKibSi3dLZI0gHvXatJrdsWK8KBo6FCXke3ii+O72YU9H1YDnjXw8O93Umn6dFvrAthHHnHBcxFdYrzz5dWgfuMb4dusR4E9qAD1wAOugPT449m6QibZzzJlx4Lo3424fRk5snW62gTxukh+8pP9M935k6I04zmIqxSKat0LOt64ZBwbN5b7fPgp+JBUXjzzZJ7vihjJWPH80N7Aw/OlBV/i9g/eHr+RrTrgqL/4ApBs4zU8gy2Mf543AhBjwQbMnRBnxIiPMHLkBYne67/ZRAUfaW6CQTewpDXExx3n+r9PnRq+/rxqA7MMssuyL9WtEcuXw9//7lpDBg3qrWHNMm4lrZ6e4HEhcQVhr9+7fz8PPtgdR5YgIssg0J4etw9xvGs16TXrva9efdDzuM6CpPlOpv3OrFkTnua2Xl1KktYY511gj+ufHtci6D+3/nPz3HPx+1lU1qc8xO0r5JPJroySdFlcvdr9zjfrOQhr+Yv6btfy21b28+FR8CGpnLv/uVyXIPgI8vPHfs7Nf7iZM//1zPg3ewHI/cfAmoWZtufnBSBPdED3YFi3DS6eSRCEtLW1s8ce17Hzzqen3m69b4JJaog9Y8ZEryuv2sA8gpjXXnOPSQpkSQvc/kLw8uW9GZoef9y1jATdDJIWCK+8Mnk6Wc+QIXDffeFpfsOOKe9CalyWJuh7rR53nGtRihrLUn1t55UZx3/sf8qYlyJqLE7a72SW70zQ96NeXUrSDFDN+7cqrnvUCy9EL++d26BzE9a1btgwOPLI5pqLIm5f7747evkiu5DlKU2XxeXLo18v6zmIavmL+l7HHc/WW/feI7MsXwYKPiSVsZ1j2f3Nu/PES09kWv6jP/8ouw7blYmjJ8a/easOGBzTyTGFwRbGrIPNBv4yvBKAJLDbblMzBR5Qrptg3oWLsEJwHkHM9OmuW1l1jVetBbL2dthjD7joov59aT//+b7dgOIKhP5UszNmpN+XmTPTH0c9CqlxN6qhQ/tfq1EtOsa4MQx5X9tpBnYHGToUrrnGrePaa934i6DkAWn2O0sq5urvRz0z2KSZ/yXv36q462qHHbJngtqyJTgAWbfOTWjpfR+aJetT1L4+/nj0skV3IctLmtr9MWPy60FQlFq+13HHc/rp8N2IWQnKeD6qKfiQ1L74b1/krDvOyrz8eb88j0fPfzTZmw+a3dv9ymwF9h+Zt+sZbGFQil5czz19NSO3GUdb52FvTGKYRllugnkWLqIKwbvsUtugX3D94885p/9YhNWr4T3vcYXIuKbrIFF9aadMcQGBN0Yk6sYRNDliGiNGRE+qBv2DuyOPrE8hNe5Gdc01fQObK6+El18Of7+1bvB0ntJO1hWWPQpcrWNc4JlU2gn+Ojr6B/lZJoisvjaOOMJ156quCIirMa5+Pc/fqiRzXMT9Hs2eHX5utmwJzg5X/X0oe/cTT9i+NlMXsjSS1s6PGOGyEWZJHd1ItUz8GveZf/WrcPvtzXU+qin4kNQ+Ou6jfP6ez/Niz4uZll/+4nJuWnJT8uxXR/0F/vA5WPcIPL8olyBkn5fCx4AMfQ02bMUbXbJ6XnuGNQ9OZKf3PAKbKv1Tdjw4VSBSj5tglu43eRQuomp0jj7a/bvWQb8QPgh6wwaXSesLX0hf4x9X27ZmjTu2K66IvnFMmpRtUkBIFuyFTfgXNpdILf184250/iCpp8elG44TV+hNK+1khUHZoyB4gPrGja4l5OKLs+1bdXe+b3wjeGCoMcGT6aUd6J2kG5J3jcV1bQp6Pa/fqiSF5vb22jJBhaWlbpZ+70mUqfU8Str7UZLaee8YvXlmyn4O/GpJ4BD3mTfj+aim4EMyOWnfkzKP/QCYsnBKsuADXABywA1uDpCcgpCgMSBtFvZ4GXbugY2D4fFhsH5r2GLg+XbY6cm5sPQyt4KjH4Xt94TnH3D/TxmM1KqW7jft7b2zAq9YETw7cJQ5c6JTchbFX8NpbbIbX5LattWr3aSEUbIGHiecAD/8YfS5jprwL0rWfr5pCjfz5/fPSBMkrtAL6Qorccd2wgnwL/8SvZ6oWvRaC6v+AvvRR/dPPrD99vCpT8H997ugyL+PaQZ6R3VD8vO+G2fGDK/bYYfo12uR9LqqJRNUlGbo955UWVrPw2S5HyWZgNLful32c1Ct1gQOccfbbOejmoIPyaSWgecAz77yLBf88gKu+fdrki+UcxDiHwPyRAeM3AhDKrP7DtkM73jRBSHPDIHR64G1l/UuvHqhK/HeM8H9/6jsrSJp1dpHvJbApasLLkiW8KsQq1e7bkDVs2KHHU+j+8JG3Ry8wvhtt2XrzvWnP7kCdpYbUNIbWdICXVyhNu01GPe5HXdcfNekogatjh/vJuTzzqW1riA1bVrve/zHmqZbTZoWoNWr44PkuCQUtaq1gBR1bqonKK0WdM002yR1fmXtQpb1fpQlDW1Zz0GQPLrLxR1vM52PaprhvIXUe4bzahO+P4FFTy6qaR1v63wbVx1xVbIB6NXighAzCOzrNe1fYvteVlirSNIZcYPUMhN23jOtt7e7LjwXXljbZIlDhgR3cwk6nqTHcMst4fOCRHV/ilK9P/6CkFdAzaPlqLPTTTZlTP4FrKQz9uZ9DaZdJii4iSus1mPW66T7nTQYmz7dJWFIasoU+M53sn3fyyLs3ESNu0p6TdRzkrpmDnTSiPtNOOEEd+xhx9/T07y193GCrrnOTjjvPHd/a/bj1Qzn0hBTDpnC4T8+nC02ewf/v6z5C4f/+HBunHRjshS8fmEtIYPaYbdT4ImbMu9Xal7gAf1bRY5+FDryq2KspS9pmkFw1TfP116LL7SnKZh/9rOukPwv/xI8qV7QZIlBwiZeCupK49W2Bc3J4d/2SSe5gcnV7+vsdJMHhhV6Ojrca/Pm9S3oDhvWNwNULZmb4grRa9a4Qqf/ePIqYCXJ7hRXq5dlIGaarmFhNbHr1oUHtPUapJn0WJO2EKRtuQsb1D10qCsANYOoc1PrNZFHRrEgzTgbd1Zx96N589xf2PE3c+09RAeZ1deuV8n05S/3Lt+q10WchPPv1p8xZqQx5mZjzLPGmE3GmFXGmKuNMW9OuZ7hleVWVdbzbGW9I/PctjFmH2PMT40xa4wxrxpjlhtjLjfGhP6EGWMONMb80hiz1hjTY4z5szHmU8aYQWmOsSwmjp7Id4+OyPeW0Ba7hY/+/KN8/Tdfz7YCLwg59A74f+fAEV3Q83f3mtmq73vbEubXrUXXx+EXe/f+f/XCXFdfS1/SpIFLV5dbz2mnuZrWU0+N7241dCh88IPR7/Hzunx4k+rNmuW6psya5X6wP/IR93jLLa51I2ybURYFNMx53WKmTu2/fJIBe9tu697jTQDmX/aee+B733Ovd3T0vrZunQtKurrSZ26q3saKFe4cnXBCsmW8AlbY4Nw0vAJf9bF7qoOsIFmDZ+9GXn2dVN+0owr8W7b0/VygvoM002Sb8gphl17qHoP2xwv+kvACKu+8TZ3a+z3asMEFqKNGuWuy7MLOTR7XhBcE5iUu0Mnje1gmSQPiZjr+7m53LU2f7lp2wvY56D5Z/Z3yrt3PfMZ1D66u9Gqm85KnUrR8GGN2Bx4EOoHbgUeBA4ALgSONMQdZa2NTKxlj3lJZz57AvcAcYC/gDOAoY8y7rbUrqpZJvW1jzDsr698KmAc8BbwHmAJMNMZMtNZuqlrmGOBW4FVgLrAWmARcBRwEnBh/psrno+M+yiPPP8I3fvuNmtf1uXs+x1u2e0v6FhCPF4SAS9Hb6NYQT9fHYcd/gzeNzWV1tfQlTRK4hN084wYaX3ONm/zoO9+Jfl/QfkZNlnj66a4VIqgm8bzz+tbyV5szB666KnhiQv/s6NU1qt45qL5ReNmwVq4Mr43t6XGBRnULkHeTicqkFcWf6eSUU9x2581Ltmye2X/8tXn33tv35uwFWdVzofhrBdMGz2m7r8QFN5/6lAt8i+jmkSXbVJSw2v6wbFf+47r22v6thPWq+S9SkprzWlqL06olxWozSjPXTa3HX0RXtqStVmlb0wbadRGnFMEHcB2u8P9Ja+0bI5CNMd8EPg18Bfh4gvX8Fy7w+Ka19jO+9XwS+FZlO0fWsu1KK8UtwHbAMdban1eebwN+ChxfWe4K3zIdwI3A68Ch1tqHKs9PxgUxJxhjTrbWzklwjKVz5RFX8vPHfs7ja2NmQ0rgrJ+flXwSwijVXbL2vAD++Hn3WiMCkV/u2/f//740czBSS+rFJIFLmkGt/mW9lKxJuuWkrWkO63oBbsB5WFevdeuif9TDCi5JbxRZlo3LpFVtm23gkkv6z0ORtgtOkgJW0pt7e7t77aKLwudZCOqT7/XVD7tGOjpca4A3cH7p0vTdV5LML1HUTT5u4H2WbFPV34W3vtV1ibznHvf6UUf1nwMn7pqcM8dVHLTq+IRaMw+lUWSgUwZp57rJevxFdGVLE1CkDSYG2nURp+HdriotD4cDq4Brq17+MrAR+JAxJnKqa2PMUOBDlfdfVvXyTOBJ4AhjzGjfMlm2PQHYG1jkBR4A1totwOcq//24MX1GGJ8A7AjM8QKPyjKvApdW/vuJqOMru+uPuj6X9Vgsx//0eBasiJjONA0vCHnTWNcaUt0ta1A77F6d8reAr8Uzd9S0eNLuBtXCus34A4K4H8HqQklHR2/qXghe/7BhbtLApPsZtt3qrhft7fFdveK6vgQ1sddyo8j7JrJpk6u1rpamCw7EF7CSdCHwi7v5ht3ETzyxNwDxa2tzQeTUqW7bu+3mJlZM230l6rwUPQFXXDapMWOSd/Hw874LRxwBX/wifPzjvX3rv/AFF7T5xV2TF1yQ/HNvRkVeE0UGOmXhvx/FdQfNcvxFdWVL0z0v7T1iIF4XURoefACHVR5/XSnAv8Fa+wrwG1wrw7ti1vMuoB34TWU5/3q2AHdXbS/rtt9TebyregcqXboeA3YFRidZBlgEdAMHGmMKGJBQHxNHT+TyQy/PZV3rNq3jvT96L9Punxb/5jSSBCLvugXenvN2q436CIypPV9tkj7iQeICl7gfwa22cuMwzjnHBRXr17uuVl6hBfqv/7nn4IYb0u1nUoccEv361VeHF6QeeAB23rl/wSsuCeBzz4Xf8OLO31FHpQsaILhfetz4C7+4AlaWm3vczTdsUPzq1W6uC+8amTLFXUfVA8HXrIG1a8PXMX9+cME9SYBdlLhC7y67pAv4/NJ8ZnHXZFh3rFbph17kNVGm4LdI3v3ohz/M//iLGrOTJqBIGkx4v1HLl/cfb+Zp5esiTBmCD69u6LGQ172+PHvWYT0NX8ZauxlYiesClyj2NcYsDvrDjW9pmCkTpvC2zrflt76FU3j79W/PrxXELywQGX06vPCge8+gdhj5H1UL1vCV8YKbd38fBkc25NVdVOBy3HGuMBjG6+J02239C5heoQWyBUZZHHecy0IVZv364ILUAw/AoYcGj82YOTN6ndddF15IjCt8nHRScEEobFC9J+jGWB1ITp3af7+TFLCy3NxrnQDOuwbHjMk2aeOiReEF96wtg3mLKvSGpYpNWvBP85mlbSULWkezK+qa8D7z6u9hZ2fjZp/O0rqWVT0CvaK6LKVpnUgSZPpbk6dOdfeatrb+722WWcnzVIYxH14xJ+z24z3/pjqsp8zLNKWrjriq5vS7fjWl4k3KP1AdegerV48TGX8ddD8Lf74k23bePtUFNyXX3g4nnxw9cPwXvyhPH/KlS2Hz5uj3VPfB9WqNw+YRWbPG3SyqJy+sXmfQwMIkY3KCxrC89hqccUb4MYTdGKvHrYQNoofwMR1Zbu5R44fiUi77jyVrwWHOnPDg1/tMyjCA0/9ZL1/uBpnvsIPb/1oGoKb5zMKuSWOiW/larR96Wa6JIjUi7W/es28X1WUpTTKXuN95CG6Z3LLFVe5deKGreGm18VVJlSH4kJTCJnSptH6MK3h3+vDS737szo/lFoBssVs4+46z8xmInkRQ1qw9L3CtJAuPBsC2tfOLJe/n6Hf89xuLbX69jcGDIo758e/AmE9BW/m/docckixrVZgLLujblaNeNzsviAjrnuPnL0jNnx9f226Mu4FefLFr6QgSVkhMcvOtLgj19ERPbOgfiB11sworYEUVQrLc3KNuvlETwHV2unEs06e79Y4MTYIebpttort1FZE5Jk3mHWvhiSfgG98In5emWlzBP+1nVn1NPvdc+HWddBtpDIRJ97q7Ye7c/r9/0DdTXlHHXfT8Jn55Bnp5zBaeRNpkLlG/87Nnh1curFuXX+KLZv1elaEU5N1Cwjp6eM+/XIf1lHmZpvXRcR9ltzftxkW/vog/r/5zLuvcYrdw/E+P59b/vLWYAMQT0ipi9ryAf9v289AN3ZvaOff71/FPb3qW/zqpqlWkfST0PO3+veGvsGo2jP5wcfufUdyP/VFHRad5zZLSM8uPaJrMXGlr20ePdtvfeefo94WtK+3Nt73dFdonTepbsPYPxIZsgVxcIeThh7Pd3NNOADd8uGulOtPXiNnZ6Z5PEkB6Nm2Kfr3eNfYPPBA8MWbQ59LVFT2pZZi4gn+WApn/mpw+PXr9Q4bkV6hLUvue5vtfxgJXkolDi06p2irpXeOCAmt7u9HVej1E/aaFXXdB57CIrmLNPJllGYKP5ZXHsDEde1Qew8ZY1LKeIpfZv7LMYv+bjTGDgVHAZqBlGrknjp7Inz7+J6beP5UvL/xyLuv0BqJPPXQqkydMzmWdqfmCkTcdNZvNXZ/jvlUX8P/eN5YzRrtWEQa1w9hLoPtp+NcZ8NR/Q9e58HoP/O1nTRF8xP3Y77tveC19mKibXdYf0aQ/4NWFsbiCXUdH7/uLavLv6nKtBf7Aw5j+XcOy1FrGFULuuit7+uawm2/1TXzkSDdjfdDcKcOHx3fVSqOemWO8sUJJPpew+WLiJKnNrSXlNsSfo89/Pp8CfZLa9zQplctY4EozcWiRXdmaJb1rkmAyLChYutT9O8/rIeg3Le11V+/7RiNbtXJhrW3oH7A7YHGDrtuqXtse2IBLeTskZj1DcVmjNgDbV73WVlm/BUbXsm1c5ioL3B+wD6Mrr60CjO/5MyvP/yBgmdD1ZTiXi8eNG2fL5mv/+zXLZeT697br3mbveeKeRh9aX6+ts/Z351j70tL+r7201Nrffdy9J2cbN1r74x9bO22atbNmWdvdnd+6u7vdOoPW/fvfWztihLWu3sn9DR3a9//Vf9Om9d/fF1/svx7vb8SI6OOZNSt6e946fv/7/scVts22NmsXLUr23rj9S3Oew7YR9nfLLcnXP21a/Ofi7UfY5x3E+ywnT7b23HOtnTIlfLm4z+q449Idf9Tnned3wK+729phw6K3P2tW8mNOer3G7VOaz8y/XNg119mZ3zmMOwe33JL8+1XEd7Eexxh2fTR6v4rclzBB95Gk34Girocs26n3vpXhsx03bpwFFlubvrza8JYPa+0Txphf4+bbOA+4xvfy5cAQ4DvW2jc6chhj9qos+6hvPRuMMT8CPoab5+MzvvWcD+wG3G19M5xn2TZwP/AIcIgx5gO27ySDMyrvucFaa33LzKu8drIx5hrbO8ngtoDX+J3PRBkl9NmDPsvw9uGcfcfZWGz8Agn8Zc1feN+P3sfJ+57MJQdfwtjOfGYPr0l1Fy2/N42FA/L/iOtdCxjVdSjLoGlr+9dSDRuWvf9+VNeTIUNc1qrqCde84wqqNR42zD1/8MHx780zS0mWiR3PPdfN/J7kc05aC+f/vLu74b//O7w2MqqbSdA1GFfLOmhQ/HHE8X8m9eiak2SskP84k9Ysn3uu696XZT+z9q0v4rqG+HMQl7zC//0vazeiNC2wRxyRXxehOEm65jWyC1uttfdFXQ9ZtlPv71eztGqFaXjwUXEu8CDwbWPMRFzh/p24eTgeA6rTCz1SeTRVz38JOBS4yBjzDuD3uAkBjwHW4AKMmrZtrX3dGHMGbmbyecaYecDfgIm4rlW/Aa6qWma9MeZsXBCy0BgzB1gLfACXhnceMDf07LQAbxzI8T89nnWbMuTVDGCx/GTpT/jJ0p9wyK6HMOWQKcWOB2mwRjS7Bt2okg6a7ux0wUB1F5Q0hblqcT/wUQXzNBlZ8s7eUi3LjaKnx40lWLUqfj/Sjg944IH+Y0/85zSum0nQNZhk/pMHHkgfhIGb2Oy443o/k3oF5Uk+J3+1U5KuFSNGwJVXNqaLRJb+7WnV2r0kTTDXqAJX0s95xgxXYVBUl7G438c03d3qodbgoajrIet26nnfaPpJC7M0l9TjD9gFuAV4DngNNyP51cCbA95r3a4Hrmc48K3K8q9V1nczMDKPbfuW2Qf4GfACsAkXqFwOtEcscxDwS+AloAf4C/BpYFBO57CU3a787nniHmsuM7l3w+IybNvlbfamJTc1+hALU3Sza9Lm8bD3TZ0avb9JjyOom1nWridlkaV7jvd3wgnJjjnp57doket6FrStjg7Xtercc9N/dkm6IQTtY9xfvbvm+K+3JMft77IU152uszNdF6ui1NIVplrc53HLLcmvoTJ0NUl7jEOHumOspXtpHvtX/ftYhi5sSbuDhinqeijjdVeGz6+WblepF9Bfef+aIfiw1trvLf6ebbu8rS4BiLnM2O8t/l6jD7EQtf5wp5H2hy7oZhe3v0nWnWehqEyyjPkIOldx5yEuSOvudgFGLfsRdQ0m+fy8fZwyJX58RdAx51lQCNrfsMAsbBthY6OmTi1nkFyPQk3U555me2UocGU5RmvLV4Atw/7Uug9lHvNRhEbfD5t6zIcMPPVIxeuxWM664yx++Ocftnw3rLyaXZN0r0jbPB7UDz1Jhqmg1KX+zEFBKUubJrtHhKgxKEln/169Or4bVtz4gPnz88s4BfFzTcTNf3L00f3Piff6e94TfK3m1RUj7HoLm5gybBv17rKXt3r0o487B0n7xte7H30tXc3ijrFsXcbKsD+1zt9R1LiloraTVrP9tvgp+JCG8KfivWzhZbkNRPcsenJR+Qak5yzrD7f/Bmtt/3EYWQYLJ7lRRe1vWxvceqvbj7Af0SuvDE9ZWo/BpkUPxAyaCXvYMDfLetKAYM0ad54mZ8xEnWeBI8lcE3HGj3dzn/jn1OjpgTvvhHPOCf488grKo663ONXbaKaZtetVKE2bvCLt+CtraxvIncc4oahjLFsf/TLsTx6F+qIK4GUt6DfTb4ufsTbfQp80jjFm8bhx48YtXrw4/s0lsmDFglwHogdp1QHpaW+YSSbC8tbhb0mYPRtOPTX8/VOnJivwhs2RELRNf+F/5Eg4//zo2aGnTYNLL43fhyQaOZdA0LaNcYWrJIYOdYXmLDfFuM85qbzOVU8PjBoVHmAHtXZlWSZouzvumHw28izbKKu4a2DWrPIVdmr9vuZxzZRhG826Pz095SvUS7z99tuPJUuWLLHW7pd2WQUfLaRZgw9wAcj7fvS+3FtA/AymJVtCkv5wR91sgvgLGT09sNtu4TXBnZ3Jsi4lLdgkDZLC9rcWjbwpR217++3hve+FZ56B3/8+ej1Zz0XaawRcmtgddnAtNTvsAGPG5Fd4yFoQrrUwmjQIq+4W1+jJ7vJQz+u/Hq2JeexvUQFX2SZILNv+SHOpJfhQtysphYmjJ3LjpBv52J0fY4tN0Kk6A9uiqXmTNrumnUvCC2je+lb3/333hXvvDX7vmjXh3Z78BY4//Sl6m8uXwy23wCc/CRs2JN/XIUPi+wcn1ci5BKK2/corvSll42rla+kaE9QNIqzlZehQV0gJmkslD41KcZn0/F14oQu2smyjEfMrJNlmvfq316ugm8f3tajxD2XrujN+PCxbBlOmuN/eMWNcC/Lw4Y3ZHxk4FHxIadRzIHq1RU8u4vAfH86Nk27kzH89s67bKou0N9B589xfLetP24Jx9dXZBjy///3FzblRz4GYSbbd3g6f/7wrMIRJ21+7ulD68MNw1129BaRddoETT+z/OW7Y4CaV/MIX6lNbWku/9Fr6Qic9f2PGZNtGI2qc02wz70JyPeckyuP7WuT4hzL10a++JhYscGPv1PIh9abgQ0ql3gPR/bbYLZz187Ow1vLRcR+t23bKot4DCKvXHzcRXbW2tuyZlvbZJ9tyQRo5EDPpti++OHjCRkiWJcYvqlDqLyStXAlz5waPvalXxrFas+HUY7u1br8Rk4Nm2WaeheR6tibm8X1t1HXWSI24Dge6Rs4mXzZtjd4BkSBTJkzhfz70P0zYdUJdt+Ol5p3w/QksWLGgrttqNO8GWw9BN+g03byGDUuWwjTMmDHZl60WdZ7qXRBJuu32dpfxqfq9abvGxBVAenp6n2tvh623Du/u5RUi8+R1Aar1OPPabh7bT1IQz1sjtulXz9bEPL6vjbrOGqG7241h+fCHG3tNDDRdXS7gOO00l5zl1FPdWKWurkbvWWOo5UNKa+LoiUwcPZFla5YxfdF05i6bW7eWEC817zF7HcNhux3GxFETW2pQOoT35e7sdLXZxrgxGWm6WkH4DTquQHHCCfAv/+J+kJcvdxmzssg7IGhkTvc0286ja0zaGulGdElrVD/5oNTHeQyob8Q5bPScDvVsTczr+1q28Rj1kKYbbNHzjrQytTL1p+BDSm9s51h+csJPOGvcWUxbNI37n7y/LtuxWG579DZue/Q2oDXT88bdYGfPTh58eIOfw27QcQWK447rLdjOnh2/PW8Q5Nq1vc/VKyBoZEEkzbZr7RqTtlA6cmT0++Nez6pR/eTrsd1GdOsrcptBXUvq3a0pr+9rmcZj5C1tN9ii5x1pZY1MYlJWCj6kaXgtITctuYmz7zi7ruNBoHUHpUfdYJP0dQf3nh/+MPrmnqbAEfXeIUPc+IaTTnL/LyogaGRBpKhtl2GisYGmEeMLitpm1PihercmtnLgUAsvGLzttuSBR6uOc2mURrc8lpGCD2k63uDweqbl9Qy0QelhXRj8khYY0nSHiHuvP/OKChj5SVsoffrp6PXFvS6N6dZXxDaTdC1p9W5NZZNlvqRWHOfSaKrk6U+TDLaQZp5kMIsFKxbUtRtWtVbshhXGP3Gh15Xm6aezFRjSzF6rmW6L49WIPvAA/OQnfTONhaVgbcbZr8uqEdd6Pbepa6Nc0k4YGteNVrIr02zyedIM5wIMvODDU8SAdI/BtPSg9CIp7WDjBNWIDhsGJ58MhxwS/lm06k1Uajd9usviE8afYELf9fqLCwb99N2tv1acTV7BhwADN/jwFN0SAgOrNSRPrfhD3CxqDSDiPjsFlQNT2sKuvuv1FRcMevRZFKfVWvYVfAig4MNTZEsIqDUkLdWeN1Ye3WPCbqK1BpUKXJpX2m4+rfpdL8s1HPc9VzcrqVUtwYcGnEvLKSo1r2cgpOjNk9IONlYemVeCMgvVmsu+3q1hZSkUtqokySr8WvG7XqYW3bhkEnHZCkXqSTOcS8uaOHoiC09fyPcmfQ+DKWy7Xorem/9wc2HbbCZKO9hY9cq8Usss2mlmWs8ianZhb8bn6dNdbXGt2xrIvPk2Zs2CadNc7XqUVvqu1/saTmsgzdouzUctH9LyikzN6/FS9C5+bjHn7n+uumL5lCXt4ECtCa/XnA+1BJX1bA2LKhQeeSQMHgxr1vQ+rz7wtfG3isVNWtpKKUbL2KI7EGZtl+ak4EMGhI+O+yi7vWm3QgekWyzXdV3HdV3XqSuWT56F36wBRJm6RxStXnM+1BJUxgUuy5e72vQsgWJUoXDt2v7PJe0mJvEaMaFio5S1RVeTL0oZKfiQAcObIX3ZmmUsWLmA+1bex+3Lby9kUPqiJxfxvh+9TwPTya/wmzWA6OmBo4/uW9sN5Sh0FtUak6VGNG7failoxgUuV1+dbB6SIFkKfa04HqERGjGhYqPUo0V3oLbOSutTtqsWomxX6TUiPa9noLeG1JJ2sJaMWdOmwZQp4etu1GRoZW6NSbpvWdPwRn2ebW2wJaC3ZNJsSWlSwPpNmwaXXpp+uTSSFi6LKIR623jsMXjhBdhhBxgzJp9ttVqK0SB5Z/Er8++BCCjVrlQo+MjupiU3cfYdZxfSCuKnNL3ZZE0X29MDO+4IGzeGL1tEobPaiy/C7rvDunX9X2t0StK0haqsaXjDJj4MOieepGmB06SATbPuWuQV0NVrX+q1rVaW12eldOTlodancEq1K1KjRgxKB6XpzSpr/+r586MDD+jfPaLeN5+uLnjve/t2K/JrdBeguIG0c+fC6af3Ppc1DW9QV7Dly2Hq1PB9S5oWOKjrT2cnbN4cPO6j3uMRkqYlrjV9cZzubvf5XXBB+PeiDN0Rm0VeA7zLOHh9IFLrU/0o+BCpaMSg9Gpemt4bJ93Imf96ZkP2oRlk7V8dV1gdOrRvobPeNx9v/ElY4OFpZErSuG2ffz6MHRt9PpIWpqoDl9mzo7edtB99WKFw6dLGjEdIej7qWQiNau3Ie1sDSR4DvMs6eH0gqXfgP9Ap+BDxaeSgdM8Wu4Wz7zibXYftqhaQEFkHN8cVVj/3ud4bShE3nyuv7D/wPUgjU5LGbXvjxvjzkbUwlWe2pKBCYaNSkSY9H/UqhIZd2/XYlqQX951Tb/n6K7r1aaB179IkgyIBxnaO5ZPv/CTzT57P/3zof5iw64RCt7/FbmHaommFbrOZZJ1AyyvMBunshIsv7v1/LZPmJdHTAzNmxL+v0SlJo86ZJ+58ZG2pKmKiNC8oufTS3taXekt6PhoxIWTe25L0jjvO/R6FmTlTk2HWW5GtT1GToLYqBR8iMbyZ0pd+YinfOvJbHDvm2EJmTL//yftZtmZZ3bfTrKpnU/bmgYjq/hNVmL3zzr4Fz3rffJKMPxk2rPEpSb1zNnRo9PvCzkd3N2zaBEOGBL8eF1xl+ZzLLiqg85+PqEJoPSeEzHNbkl57u+vOGGbNmtorPyRaUZPhxrWwt2qQqW5XIgmN7Rz7RotIUSl6F6xcoAxYEZL2r65u0n74YbjrruiuNvW++cQVALfZxr1n+PDatpOH8ePhmmvgjDPC3xN0PuLGFSRtwWi1idLCBsEPGQLnndf7/6VL3aD4asOH13dCSL9WnJOjGZiY+i11g6uvoibIHKjJBdTyIZKBvzXkvP3Pq1tLyPpNMSORJVZQk/Y++8Aee0R3tUlaO51VXAHwkkvKEXh4Tjop3fmIGlcwdCjcckvzt2DUwmvRmTq1t1Vp40Y3B82oUfDAA+78BWXjGjwY9t03+7ajru0hQ+BjH3P70QqtTM2qqJp3CVZEl08YuMkFFHyI1GBs51hmHjWTGyfdSJvJ/+vUsU1H7uscSGpp0q73zSfN+JMySHs+omr0NmyArbdWbTrAtde68+HnXZ9h56/WbjdRn+V998F3vgOXX17cGBjpr96VHxKviC6fAzXIVLcrkRzUK03vxFHKdlWLWpu065kNKazrTZm7uaQ5HwO1Ri+NqOszanJFqP38NSrTVzMrMiNRM/4+tKJ6d/ksqntX2Sj4EMlJ3ml6J+w6QeM9apRHAbieN59mLAAmPR8DtUYvjVoCiDzOX6uNpamnRkw414y/D5LOQA0ySxN8GGMOBC4F3gW0A48DNwPXWGtfT7mufYDLgEOBDuBJYA5whbU2sKNFmu0bY94BHAu8DxgNvAV4HlgEfN1auyRg/ZcBX47Y7fdba+9KdoRSZnkMTG8zbUw+ZHKd9nDgaIYCcKsWAAdqjV4acddfR0fwBJQ6f9lkbblo5IRzrfr7IL0GYpBZiuDDGHMMcCvwKjAXWAtMAq4CDgJOTLGudwL3AlsB84CngPcAU4CJxpiJ1tpNNW7/BuCdwGLgv4ENwDuAk4ETjDEnWWv/O2QXfwCsCnj+r0mPUZpHltaQNtPGjZNu1ASDOVABuHEaUaPXbBN1xV2fP/sZnHjiwKoRrZc0LRfV19Frrw3MjERSnIEWZBrb4KkyjTEduIL3MOAga+1Dlee3xQUR7wY+aK2dk2Bdg4C/AHsDx1hrf155vg34KXA88EVr7RW1bN8YcwHwK2ttn4DBGHMq8GPgReCfrLWv+V67DNfycZi1dmHS85OGMWbxuHHjxi1evLgeq5ecRLWGTNh1ApMPmazAI0eN6C4hvXp6iqnRa9bPOW6/izp/raynx2UQCwvy/C0XQZ/H0KH9kwL4TZvmMueJDCT77bcfS5YsWWKt3S/tsmUIPs4EbgJ+aK39SNVr7wEWAIustbFTTEe93xgzGngC1wVrlK0ceJ7bryzzGLAHsL+1drHv+ctQ8CE+XmvI+k3r6dimg4mjJmqMR52oANfa0hQuy0jXZ33Nnu1SbIe55RY4/fTo6yjKrFkDq9ZaBGoLPsrQ7eo9lceg8Q6LgG7gQGPMNtXdpdKsy1q7ohIY7Ikbp/FEHbYP8I/KY8DUUAD8mzFmf2AQrvvVAmvtCwnWKy3GGxsi9TfQmrQHmmafqEvXZ33FDew//3wYOxYefzx94KHumyLplSH4GFN5fKz6BWvtZmPMSmAsLmB4JOu6Kh7HBR970ht85LZ9Y8y7gH2AZ4ClIW+bVvX/TcaYrwNTbMJmKGNMWNPGXkmWFxFpJUrrO7CkHdsTN7B/40bX1eqcc6LfN2SIe69H429EsilD8DGs8hiW1dx7/k11Wlcu2zfGDAd+WPnvpwMydP0JOBNYCDwHdAKHA9NxWbYGAV+K2oaIiPTXDFnNJB9ZxvZEDez3rF4NL8T0QZg5002Oqe5x5dRsCScGslyCD2PMKmDXFIvMstaelse2y8AYMwS4HTfW42vW2p9Vv8daWz0f7d+A7xljlgC/BS42xnwzSRessP51lRaRcWn3X0Sag26uwZTVbGDImvLWy7z2nvdEDxzfYYfo6+ikk/R9K6tmTTgxULXltJ4ngOUp/p71Leu1LAwjmPf8ywn2I8u6atp+JfD4BfBvwDettZ9PsJ9vqMwJ8ntcauB3p1lWRAaOri4XcJx2Gkye7AbQjhrlnh/ovMLliBF9n1e3mNaSZGxPmPHj4Zprotc/Zoyuo2YUF5T2BM7uJo2US8uHtbaWvKDLgf1x4zD6jGUwxgwGRuEGbyfptbu88rhnyOt7VB794zsyb98Ysz0u8DgY1+KRKvDweb7yOCTj8iLSwho5yVmzGIgTdQ00tY7tOekk+MIXolvI2tt1HTWbZk84MRCVYczHvcCpwJHAT6peOwTYDpfqNkmmqXuBSyrr+qr/hUqq3T1xqXZXVC2TevvGmGG4DFnvAr5irc2U5dsYsxW9XaU0LFJE+tHNNRlljeqr1brp1Tq2J+nEl7qOmosSTjSfMgQf84AZwMnGmGuqJvmbXnnP9f4FjDHbAf8MdFtr/+Z76X5cRqpDjDEfqJpkcEblPTdUZZXKsv03A7/GtZh82Vo7NeoAKy0k/2StXV71/Na4WdT/GXgUeChqPSIyMOnm2pwaWfhvxT7weYztUQtZ61HCiebT8ODDWrveGHM2LghYaIyZA6wFPoBLgzsPmFu12AHAfbhg41Dful43xpyBa82YZ4yZhxvYPREXKPwGV9ivdfv/XVnfE0BbZQLBardZa/9Y+fdbgEeMMQ/hgqPngB2Bw3Ddul7AzaK+JepcicjApJtr82lk4b9Vu+klbblIsh61bLSOMiWcaLXWxnppePABYK29zRgzAddl6nhgW+CvwEXAt5POf1FZ1++MMeOBy3GpbLfHdbWaClwR1H0rw/ZHVR53x81aHmQV8MfKv9cCM3FB0xHAcOA1XPAyAzdQfU3SYxSRgaVMN1eJ1+jCfyt301PLhVTLKyitVSu2NtZLKYIPAGvtb4B/T/jehYCJeP1h4MQ6bn+3lOteD3wyzTIiIp6y3FwlmUYX/lu9m55aLqRao4PSRlc4NJvSBB8iIhKu0TdXSa7RhX9105OBqJFBaaMrHJqNgg8RkSahGt/m0OjCv7rpiRSr0RUOzSavSQZFRESE3sJ/kCIK/2GTLg4ZAuedV99tiwxEja5waDYKPkRERHJUhhnXvW56U6fC0KHuuY0bYcoUGDXKDY4VkXw0usKh2ajblYiISM7KMkbn2mthw4a+z2kQrEi+lBQkHQUfIiIiddDoMToaBCtSnLJUODQDBR8iIiItSINgRYrV6AqHZqExHyIiIi1Ig2BFpIzU8iEiItKClHK3/Lq7XTedlSvVTUcGDgUfIiIiLUiDYMutqyv8sxk/vnH7JVJvCj5ERERalAbBllNPT//AA5SJTAYGBR8iIiItTINgy6cZMpGpS5jUi4IPERFRQUOkQGXPRKYuYVJPCj5ERAY4FTREilXmTGTqEib1plS7IiIDWFxBo6enMfsl0sq8TGRBGp2JLEmXMJFaKPgQERnAVNAQKZ6Xiaw6AClDJrKydwmT5qduVyIiA5gKGiKNUdZMZGXuEiatQcGHiMgApoKGSOOUMROZJqeUelO3KxGRAazMfc9FpHhl7hImrUEtHyIiA5hmwRaRamXtEiatQcGHiMgAp4KGiFQrY5cwaQ0KPkRERAUNaShNcikycCj4EBERkYbRJJciA4sGnIuIiEhDaJJLkYFHwYeIiIg0hCa5FBl41O1KRESkATTOQZNcigxECj5EREQKpnEOjia5FBl41O1KRESkQBrn0EuTXIoMPAo+RERECqRxDr3KMpt2dzfMmgXTp8Ps2QMrABQpmrpdiYiIFEjjHPpq9CSXXV1w9NGwZk3vc52dcOedA6sLnEhRFHyIiIgUSOMc+mvUJJc9PXDkkbB2bd/n16xxzz/99MBLAiBSb+p2JSIiUiCNcyiPuXP7Bx6etWvd6yKSLwUfIiIiBSrLOAeBX/yittdFJD11uxIRESlYo8c5iIg0SmlaPowxBxpjfmmMWWuM6THG/NkY8yljzKAM69rHGPNTY8waY8yrxpjlxpjLjTGhP+tptm+MOdQYYyP+rgjZxiBjzKcr6+6pbOuXxpgD0x6jiIg0N2+cw6WXukcFHsU76qjaXheR9ErR8mGMOQa4FXgVmAusBSYBVwEHASemWNc7gXuBrYB5wFPAe4ApwERjzERr7aactn8/sDDg+f8N2C8DzAFOAJYDM4HhwEnAImPM8dba25Mep4iIiNTmpJPgM58JHvcxfLh7XUTy1fDgwxjTAdwIvA4caq19qPL8ZFwQcYIx5mRr7ZwE6xoE3AJsBxxjrf155fk24KfA8cCngSt8y9Sy/YXW2ssSHurJuMDjQWCitfbVynZuwAUrNxpj7rXWvpJwfSIiIlKD9na4667wVLtqjRLJXxm6XZ0A7AjM8Qr+AJXC+aWV/34i4bomAHsDi7zAo7KuLcDnKv/9eKUVoh7bj+Kt41Iv8KhspwvX2rJjZV9ERESkIOPHw6pVbpLBadPc46pVmuNDpF4a3vKB6xIFcFfAa4uAbuBAY8w21d2l0qzLWrvCGPMYsCcwGngih+3/P2PM+UAH8HfgAWvt49UrMcZsCxxYWdcDAdv5FfChyr7cEn54IiIikrdGzTMiMhCVIfgYU3l8rPoFa+1mY8xKYCwuYHgk67oqHscFH3vSG3zUsv1TK39vMMbcCpxtrX3J9/TuwCBghbV2c8h+UdmvWMaYxSEv7ZVkeREREZEw3d0uE9vKlcrEJvkrQ/AxrPK4LuR17/k31WldWZZ5HvgC8AtgFbAtsD/wX7hxJTsZYw6pdPfKug0RERGRQnV1waRJsHp173PeHDTqiiZ5yCX4MMasAnZNscgsa+1peWy7Eay1y4Blvqc2AHcZYx4E/ojLkDUJqEv2KmvtfkHPV1pExtVjmyIiItLaenr6Bx7g/j9pkmsJUQuI1Cqvlo8ncGlqk3rW92+v1n9Y0Bt9z7+cYL1Z1pXb9q21640xs4FLgEPoDT7yPEYRERGR3M2f3z/w8Kxe7V7X2BipVS7Bh7V2Yg2LL8d1WdoT6DOWwRgzGBgFbAZWJFwXhI+d2KPy6B/fkef2wXXJAhjie+4JXCrf0caYwQHjPoL2S0RERKQwK2JKOnGviyRRhlS791Yejwx47RDcnB0PJsh0FbkuY8xoXIDxJH0DiTy3D/CuyuMb26ik1n2wsq6DA5Z5f9W+iIiIiBRq9OjaXhdJogzBxzzgBeBkY8z+3pOV9LTTK/+93r+AMWY7Y8xexph/rlrX/biMVIcYYz7ge38bMKPy3xustbbG7e9PAGPMabgZy1/DTWro561jemXd3jLjK8s8j5tlXURERKRwxx3nBpcHGTHCvS5Sq4Znu6qMkzgbFwQsNMbMAdYCH8ClwZ2Hm4TP7wDgPlywcahvXa8bY87AtSDMM8bMA/4GTMR1rfoNcFUO259njNkMPAQ8jct2Nb6yX5uBc6y1q6qWmQP8B24iwT8YY+4A3oILPAbh0vOuT3DKREQGPKUCFclfe7vLahWW7UrfMclDw4MPAGvtbcaYCbiB2sfjCvN/BS4Cvl3VUhG3rt9VWhMuBw4Htsd1tZoKXBHUfSrD9q8H3ovLarUDYIBngO8DV1tr/xSwDWuM+SCu+9WZwAW4QfqLgOnW2geTHqOIyECmVKAi9TN+vAvq5893YzwGanCvCo76MSnK9VJyxpjF48aNG7d4cdgchCIiza2nB0aNCs7IM2KEUoGKSO1UwRFvv/32Y8mSJUvCpn+IUoYxHyIiIokkSQUqIpJV3FwnPT2N2a9WouBDRESahlKBikg9qYKj/hR8iIhI01AqUBGpJ1Vw1J+CDxERaRpKBSoi9aQKjvpT8CEiIk3DSwVaHYAoFahI/rq7YdYsmD4dZs8eGOMdVMFRf6VItSsiIpKUUoGK1N9AzfikuU7qT8GHiIg0nfZ2OOWURu+FSGuKy/jU6imtVcFRXwo+REREROQNSTI+tXrwrwqO+tGYDxERERF5gzI+ST0p+BARERGRNyjjk9STgg8REREReYMyPkk9KfgQERERkTcopbX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" ] }, "execution_count": 50, "metadata": { "image/png": { "height": 248, "width": 399 }, "needs_background": "light" }, "output_type": "execute_result" } ], "source": [ "#Generating random portfolios\n", "random_portfolios3 = 2.*np.random.rand(1000,Sigma3.shape[0]) -1\n", "random_portfolios3/= random_portfolios3.sum(axis=1)[..., np.newaxis]\n", "rand_mean3 = np.dot(random_portfolios3, mu3)\n", "rand_sd3 = np.diag((random_portfolios3@Sigma2)@random_portfolios3.T)**0.5\n", "\n", "#Calculating mean and variance of minimal varaince portfolio\n", "min_var_mean3 = np.dot(min_var_p3, mu3)\n", "min_var_sd3 = min_var_p.dot(Sigma3).dot(min_var_p3.T)**0.5\n", "print(min_var_sd3, min_var_mean3)\n", "max_sd_plot=0.06\n", "\n", "#Calculating results of previous optimals\n", "\n", "mu2in3_mvf = mvf_portfolios2 @ mu3\n", "sd2in3_mvf = np.diag((( mvf_portfolios2 @ Sigma3) @ mvf_portfolios2.T ))**0.5\n", "\n", "mu1in3_mvf = mvf_portfolios @ mu3\n", "sd1in3_mvf = np.diag((( mvf_portfolios @ Sigma3) @ mvf_portfolios.T ))**0.5\n", "\n", "\n", "\n", "#Making the plot\n", "plt.plot(rand_sd3[rand_sd3