{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ARMA Models\n", "> Dive straight in and learn about the most important properties of time series. You'll learn about stationarity and how this is important for ARMA models. You'll learn how to test for stationarity by eye and with a standard statistical test. Finally, you'll learn the basic structure of ARMA models and use this to generate some ARMA data and fit an ARMA model. This is the Summary of lecture \"ARIMA Models in Python\", via datacamp.\n", "\n", "- toc: true \n", "- badges: true\n", "- comments: true\n", "- author: Chanseok Kang\n", "- categories: [Python, Datacamp, Time_Series_Analysis]\n", "- image: images/train_test.png" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "plt.rcParams['figure.figsize'] = (10, 5)\n", "plt.style.use('fivethirtyeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Intro to time series and stationarity\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exploration\n", "In this exercise you will kick off your journey to become an ARIMA master by loading and plotting a time series. You probably do this all the time, but this is just a refresher.\n", "\n", "You will be exploring a dataset of monthly US candy production between 1972 and 2018.\n", "\n", "Specifically, you are plotting the industrial production index IPG3113N. This is total amount of sugar and confectionery products produced in the USA per month, as a percentage of the January 2012 production. So 120 would be 120% of the January 2012 industrial production.\n", "\n", "Check out how this quantity has changed over time and how it changes throughout the year." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load in the time series\n", "candy = pd.read_csv('./dataset/candy_production.csv', index_col='date', parse_dates=True)\n", "\n", "# Plot ant show the time series on axis ax\n", "fig, ax = plt.subplots();\n", "candy.plot(ax=ax);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Train-test splits\n", "In this exercise you are going to take the candy production dataset and split it into a train and a test set. Like you understood in the video exercise, the reason to do this is so that you can test the quality of your model fit when you are done." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Split the data into a train and test set\n", "candy_train = candy.loc[:'2006']\n", "candy_test = candy.loc['2007':]\n", "\n", "# Create an axis\n", "fig, ax = plt.subplots();\n", "\n", "# Plot the train and test sets on the axis ax\n", "candy_train.plot(ax=ax);\n", "candy_test.plot(ax=ax);\n", "plt.savefig('../images/train_test.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Is it stationary\n", "Identifying whether a time series is stationary or non-stationary is very important. If it is stationary you can use ARMA models to predict the next values of the time series. If it is non-stationary then you cannot use ARMA models, however, as you will see in the next lesson, you can often transform non-stationary time series to stationary ones." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Making time series stationary\n", "- The augmented Dicky-Fuller test\n", " - Tests for non-stationary\n", " - Null hypothesis is time series is non-stationary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Augmented Dicky-Fuller\n", "In this exercise you will run the augmented Dicky-Fuller test on the earthquakes time series to test for stationarity. You plotted this time series in the last exercise. It looked like it could be stationary, but earthquakes are very damaging. If you want to make predictions about them you better be sure.\n", "\n", "Remember that if it were not stationary this would mean that the number of earthquakes per year has a trend and is changing. This would be terrible news if it is trending upwards, as it means more damage. It would also be terrible news if it were trending downwards, it might suggest the core of our planet is changing and this could have lots of knock on effects for us!\n", "\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "earthquake = pd.read_csv('./dataset/earthquakes.csv', index_col='date', parse_dates=True)\n", "earthquake.drop(['Year'], axis=1, inplace=True)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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earthquakes_per_year
date
1900-01-0113.0
1901-01-0114.0
1902-01-018.0
1903-01-0110.0
1904-01-0116.0
......
1994-01-0115.0
1995-01-0125.0
1996-01-0122.0
1997-01-0120.0
1998-01-0116.0
\n", "

99 rows × 1 columns

\n", "
" ], "text/plain": [ " earthquakes_per_year\n", "date \n", "1900-01-01 13.0\n", "1901-01-01 14.0\n", "1902-01-01 8.0\n", "1903-01-01 10.0\n", "1904-01-01 16.0\n", "... ...\n", "1994-01-01 15.0\n", "1995-01-01 25.0\n", "1996-01-01 22.0\n", "1997-01-01 20.0\n", "1998-01-01 16.0\n", "\n", "[99 rows x 1 columns]" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "earthquake" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-3.1831922511917816\n", "0.020978425256003668\n", "{'1%': -3.5003788874873405, '5%': -2.8921519665075235, '10%': -2.5830997960069446}\n" ] } ], "source": [ "from statsmodels.tsa.stattools import adfuller\n", "\n", "# Run test\n", "result = adfuller(earthquake['earthquakes_per_year'])\n", "\n", "# Print test statistic\n", "print(result[0])\n", "\n", "# Print p-value\n", "print(result[1])\n", "\n", "# Print critical values\n", "print(result[4]) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Taking the difference\n", "In this exercise, you will to prepare a time series of the population of a city for modeling. If you could predict the growth rate of a city then it would be possible to plan and build the infrastructure that the city will need later, thus future-proofing public spending. In this case the time series is fictitious but its perfect to practice on.\n", "\n", "You will test for stationarity by eye and use the Augmented Dicky-Fuller test, and take the difference to make the dataset stationary." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "city = pd.read_csv('./dataset/city.csv', parse_dates=True, index_col='date')" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: 5.297698878151179\n", "p-value: 1.0\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Run the ADF test on the time series\n", "result = adfuller(city['city_population'])\n", "\n", "# Plot the time series\n", "fig, ax = plt.subplots();\n", "city.plot(ax=ax);\n", "\n", "# Print the test statistic and the p-value\n", "print('ADF Statistic:', result[0])\n", "print('p-value:', result[1])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -0.8146211646181923\n", "p-value: 0.8147894381484837\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the first difference of the time series\n", "city_stationary = city.diff().dropna()\n", "\n", "# Run ADF test on the differenced time series\n", "result = adfuller(city_stationary['city_population'])\n", "\n", "# Plot the differenced time series\n", "fig, ax = plt.subplots();\n", "city_stationary.plot(ax=ax);\n", "\n", "# Print the test statistic and the p-value\n", "print('ADF Statistic:', result[0])\n", "print('p-value:', result[1])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -6.433646032918725\n", "p-value: 1.673449851040202e-08\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the second difference of the time series\n", "city_stationary = city.diff().diff().dropna()\n", "\n", "# Run ADF test on the differenced time series\n", "result = adfuller(city_stationary['city_population'])\n", "\n", "# Plot the differenced time series\n", "fig, ax = plt.subplots();\n", "city_stationary.plot(ax=ax);\n", "\n", "# Print the test statistic and the p-value\n", "print('ADF Statistic:', result[0])\n", "print('p-value:', result[1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other tranforms\n", "Differencing should be the first transform you try to make a time series stationary. But sometimes it isn't the best option.\n", "\n", "A classic way of transforming stock time series is the log-return of the series. This is calculated as follows:\n", "\n", "$$ \\text{log_return} (y_t) = \\log \\big(\\frac{y_t}{y_{t-1}}\\big) $$\n", "\n", "You can calculate the log-return of this DataFrame by substituting:\n", "\n", "$y_t$ → amazon\n", "\n", "$y_{t-1}$ → amazon.shift(1)\n", "\n", "$\\log()$ → ```np.log()```\n", "\n", "In this exercise you will compare the log-return transform and the first order difference of the Amazon stock time series to find which is better for making the time series stationary." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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2019-02-071614.37
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2019-02-041633.31
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" ], "text/plain": [ " close\n", "date \n", "2019-02-08 1588.22\n", "2019-02-07 1614.37\n", "2019-02-06 1640.26\n", "2019-02-05 1658.81\n", "2019-02-04 1633.31" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "amazon = pd.read_csv('./dataset/amazon_close.csv', index_col='date', parse_dates=True)\n", "amazon.head()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-7.2035794888112035, 2.3312717254877214e-10, 23, 1234, {'1%': -3.435660336370594, '5%': -2.863885022214541, '10%': -2.568018522153254}, 10764.626718933836)\n" ] } ], "source": [ "# Calculate the first difference and drop the nans\n", "amazon_diff = amazon.diff()\n", "amazon_diff = amazon_diff.dropna()\n", "\n", "# Run test and print\n", "result_diff = adfuller(amazon_diff['close'])\n", "print(result_diff)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(-34.915748536059674, 0.0, 0, 1257, {'1%': -3.4355629707955395, '5%': -2.863842063387667, '10%': -2.567995644141416}, -6245.723147672197)\n" ] } ], "source": [ "# Calculate the log-return and drop nans\n", "amazon_log = np.log(amazon.div(amazon.shift(1)))\n", "amazon_log = amazon_log.dropna()\n", "\n", "# Run test and print\n", "result_log = adfuller(amazon_log['close'])\n", "print(result_log)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Intro to AR, MA and ARMA models\n", "- AR models\n", " - Autoregressive (AR) model\n", " - AR(1) model:\n", "$$ y_t = a_1 y_{t-1} + \\epsilon_t $$\n", " - AR(2) model:\n", "$$ y_t = a_1 y_{t-1} + a_2 y_{t-2} + \\epsilon_t $$\n", " - AR(p) model:\n", "$$ y_t = a_1 y_{t-1} + a_2 y_{t-2} + \\cdots + a_p y_{t-p} + \\epsilon_t $$\n", "- MA models\n", " - Moving Average (MA) model\n", " - MA(1) model:\n", "$$ y_t = m_1 \\epsilon_{t-1} + \\epsilon_t $$\n", " - MA(2) model:\n", "$$ y_t = m_1 \\epsilon_{t-1} + m_2 \\epsilon_{t-2} + \\epsilon_t $$\n", " - MA(q) model:\n", "$$ y_t = m_1 \\epsilon_{t-1} + m_2 \\epsilon_{t-2} + \\cdots + m_q \\epsilon_{t-q} + \\epsilon_t $$ \n", "- ARMA models\n", " - Autoregressive moving-average (ARMA) model\n", " - ARMA = AR + MA\n", " - ARMA(1, 1) model:\n", "$$ y_t = a_1 y_{t-1} + m_1 \\epsilon_{t-1} + \\epsilon_t $$\n", " - ARMA(p, q) model:\n", " - p is order of AR part\n", " - q is order of MA part" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model order\n", "When fitting and working with AR, MA and ARMA models it is very important to understand the model order. You will need to pick the model order when fitting. Picking this correctly will give you a better fitting model which makes better predictions. So in this section you will practice working with model order." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "ar_coefs = [1, 0.4, -0.1]\n", "ma_coefs = [1, 0.2]" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.tsa.arima_process import arma_generate_sample\n", "\n", "y = arma_generate_sample(ar_coefs, ma_coefs, nsample=100, scale=0.5)\n", "\n", "plt.plot(y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating ARMA data\n", "In this exercise you will generate 100 days worth of AR/MA/ARMA data. Remember that in the real world applications, this data could be changes in Google stock prices, the energy requirements of New York City, or the number of cases of flu.\n", "\n", "You can use the ```arma_generate_sample()``` function available in your workspace to generate time series using different AR and MA coefficients.\n", "\n", "Remember for any model ARMA(p,q):\n", "\n", "- The list ar_coefs has the form $[1, -a_1, -a_2, ..., -a_p]$.\n", "- The list ma_coefs has the form $[1, m_1, m_2, ..., m_q]$,\n", "\n", "where $a_i$ are the lag-i AR coefficients and $m_j$ are the lag-j MA coefficients." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "np.random.seed(1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### MA(1) model with MA lag coefficient of -0.7" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set coefficients\n", "ar_coefs = [1]\n", "ma_coefs = [1, -0.7]\n", "\n", "# Generate data\n", "y = arma_generate_sample(ar_coefs, ma_coefs, nsample=100, scale=0.5)\n", "\n", "plt.plot(y);\n", "plt.ylabel(r'$y_t$');\n", "plt.xlabel(r'$t$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### AR(2) model with AR lag-1 and lag-2 coefficients of 0.3 and 0.2" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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tzj9wdmbZSg7S8WNdS4JrZw6o7WdAZQGzb7pYU5CqGrui3IxEB7yaUBAtDQldlizGKJPWAhjnna6DxRLDawHU0GwEgsKbqt3SwBjDbMGMbHDvhfGcKa22AeiAN44wxmJZpUGm8AK1LTYffDML+1ewvSuFi9emsa55eXZu6PixriXhWeEdzZbx9odG8dYHR3H190Z8z7+qoD7Kqr8OeDWhICStRcDSwBjDa5NFnJiPfgevqKHstBaIwut8HUTV1uDFw+tFCTIZwy27J7H5W0O4+nujOBbT63PEISFvWu/mxA5ZfBPl4MaCVmiwqCUopc0mPnB2Kwxj+aqvTOTFCg103FHZzx54M4uDs5Wx5dBsGf//4ILP91YpvL5eJlRiF/B+/etfx8UXX4y+vj5cd911ePrpp5XPfeKJJ9Dd3S38d+DAgRCPWAPIk9ZES0O4Ae/tT07jbQ+N4rJ/G8H3j9TfanK1UDQZVLtWjfDwntXB2wCei2jAW1OVBsmku/tUHt8/Wtk2PTBTwldemw/wKMNj1KF1slZ448diSTxnsbA0KBRevwmjx+ZL2Etqgb9vWwZAxTtrJyyFV/Tweld4T5KFwCsT/nbOVN9flK+JWAW8DzzwAD75yU/izjvvxOOPP45du3bh/e9/P44fP+74d3v27MH+/fuX/jv77LNDOmKNhay1cHfT8gW8J+ZL+JeDlU45BRO4O6ZBxXLglPUbRBxDr4MbN7VwP9NJJyoIdXilVRr4iVE2abw0XnT8OS44Kbw64I0fdJcOAOLgQqNNJyz8Brz7pvjXuXx9Gls6Knn/dCEbVvUV0cObRAspRaDajaPnc9+0v50k7eFtMHfffTc+9KEP4ZZbbsH27dtx1113oa+vD9/4xjcc/66npwd9fX1L/yWTkvRpTUOh6kBb2kBXkwF7TLBQYqFleB4lq/4TChVAI+I0oDXC0vCOM5pht8MemSsrs/+XE3rt0tqcANDjoUrD4Awf4B6YiaelwVnhje6kqJEjW+gWIxzcAMB80VQmQ/tNLKPdQs9oq97gojc/nPFJ8PA2J5ARFF75386TRPLBmZKvphFa4W0ghUIBL730Em644Qbu8RtuuAHPPvus499ef/312L59O9797nfj8ccfb+RhaiSUTb5AtQEgkzRgGKLKG1YtXhpoaMXJO44KbyCNJ/jX6M8kcfG6NPdYFH28dI7zYmmQTbqHZvkAdzJvhjaBBsnIolZ4VxJyhTe6wQ2gtjMA/lVYmS3Pgga84zkTLISOY/QzrG9JCOOOKsGYns9smeGYD+FH9f1FWeGNTR3eiYkJlMtl9PT0cI/39PRgdHRU+jf9/f3427/9W1x22WUoFAr4zne+g5tvvhkPP/ww3va2tynfa3BwMNBjdyLM91ouKjtKrUs/tyQYDh48CABoS7RgwrbuevHAmzi7rfE3zOtDKQBNSz/PlxjeODAISWK9Z1bDuQSAI4sGgIz0dydHxjCYGqrr9ccWWmBfi08PHcO5TSm8gGrQ++P9I9heaNxWfy3n8thwEkC1AH1+fg6DgxPcc8oMMJABQ+VCmy4wvLF/ECnbfHlgKgOAvxB/9uoRXNoVryDx0FgTVFPMyOxiaPfLarkvG83gTAIAby9azBcjPV8+Oykes8WR8RkMDo55fq2jp/g5o7gwu3R/MwY0JzLIm5X7tmACL+07iPYGR1inZvixcnHsBOank9xxDk1MYnBwRPjbsZlmAPw21C9eP4q3rfU2zgzN8e9tcfTkEAY9tFtrxHUzMDDg+PvYBLwWhsFPBIwx4TGLgYEB7gvYtWsXjh07hi996UuOAa/blxYUg4ODob3XcjK8WAb2DC/93N6UXPrc/fvHcCxbVes6+8/EQH+z8BpBY8zPApjjHuvbvA1rZfvQHlgt5xIAFicKwAvyiaJ73XoMDHTU9foLe04BtoJWO8/dhsm2HL59amrpsYOlNgwM9Ej+un5qPZddxXng4MzSz71ruzAw0C08b83zQ1xFkjVnbkP/6Xagk7kyZp4cFv4m29GPgYE238e0nCwOjgGQK/H5RBMGBjY3/BhW033ZaI6fzAGv8As4lkhFer58Yt8CgGnp7/LpNgwMbPH8Wm3ZOQCzSz9vXL8GAwNdSz/3vDTMVYToPuMsnNXZ2BBr7pdDAKpjyaUDWzF8LAccqY5DmY5u6TiEA+L9Odfa63n8ntnLj9MWa3r7MXB2q/gHNpbrvoyNpWHdunVIJpOCmjs+Pi6ovk5cfvnlOHz4cNCHtyw8cjSLL/xqLvJli2QlySzWNPOLlbAS12TbMU4NDzRVVFtkQP1ddoomw7zt9RMG0NlkYFdvE/e8F8YLkfOKiR5e+ULcqdvaoMKvu38mfolrzklr0Tp3Gnfolj4QfUuDKmEN8G9pmKfzGNkOlNkaGgljTCgNJms8obIYyM7nPo/5AkWTYVZxD+tOawHQ1NSEnTt3Yvfu3dzju3fvxpVXXun5dV555RX09fUFfXih8+2Di/j9n0/ir16YxbUPjWKhGN3tTifvU3fz8tTilZWD0r5CbzgnrdX32tTD3dVkIGEY2NSewsbW6rWSLwOvTEYrCPRSpQGQZXRXA8ODs/IJZ9BnBrUTf/3CLLZ/ewgf+Ml4Q73BbmXJwvA4aoJDnrS2DAfiA2cPr7+DFxKvSWAp3NcetvXrYbbIYJ/2W1MGWlNiWTLVeC0rM3dg2tuY6rRY0AFvQNxxxx247777cO+992L//v34xCc+geHhYXzkIx8BANx222247bbblp7/la98BQ8//DAOHTqEN954A5/+9KfxyCOP4KMf/ehyfYTAePhotW7sdIHhqeHoJfFY0GDcPlCsbV6upDVxMNIBrzecWlXWm7VNKzTYkxp39fJWl2cjlrgWhMJLE9YsgqrU8MJYAX/zqzmMZE08eiKPf3jDX7F5rywUTczZShGmE4A9P7VoOl9HmughC3ijr/Cqg06/iWWLpLRma5oovCF3W5N1WQPEccdr0hoA7J8uefpOnD5blAPeWHl43/Oe92BychJ33XUXRkZGcP755+P+++/H5s0VL9iJEye45xeLRXzqU5/C0NAQWlpalp5/4403LsfhBwrdXqElRqKEaGmoDgxCe+GQgk7ZDau7P3kj5xB71TsBUkuL/fq4orcJ37M1CHlutADsqOvtAkVUeOXPcypSf1AR2B6bLyNbYsjUk1WJihXEzq/GG7NooDsofZkkCibjVN+ZAkNrrGag1Y0sQDJZpQpPMlHfddkonBTeglmZRzvS3o6dfv7WFD93eW0b7geTMXxizwwePZHDTZtb8JldXUs5S1S0Wa8KeFWWhqL4+GyRYWjRxMY251wWJ3W8wcJ2XcRuuLn11ltx6623Sn/3yCOPcD9//OMfx8c//vEwDit06CoqymqJk6WBKryTy1SwG9AKr1ccFd66LQ38a9sV3iuJjzdqpcnoQK9SeJ28fqqAl6Fid7hobVr6e6+cIqXCRhxsB/VAS5L1ZhKYK9KA18SGVl0TPS6o7vu8ydAawYC3aDLhel/fkuDut4mciY60t41uKjK1CpaG4Lut3bN/AV/bV9mF+errC7hobRofOp28KjSdOD2XevHwMsakHl4AODBT9BDwOii8EVb9Y2Vp0FShAW+UV1WyLmsWy6Hwlk0mvWF1wOsNp6S1ehPJBEuD7fq4eG2aU01PLkarAUWtHl5LqTEZw6E5tXw+6NFf58QpssXbqO+PBtK9mSS6mvjvIyz7kiYYZAovABSicwtyDC2WYY+9ejMJbGytPSiln7897ezhDSLg/dbgIvfzdw5Vd7jUlgb+NWQBb8GEsj28l45rjpYGh/lhudEBb0yhF3GUiz0LlgaHgDcMhXcyb0qKqYjBlkaOk8LbSEtDU9LAtg5+U2rYoblBULwyWcQtuyfw8aemXLbyvHl4Vd3WTiyUHReu+wPw8Z5a5L/f0azpq7uSV2gg3ZdJoIs0mdGVGuKFquFMMaKKHrUznNmWrKsFsODhdanSMFlnQujh2RJeIG3FnxzOLy2QxaYTlUhXtDSIr61avADAAS8Br8NiNcoKb+wsDZoKdHKNcsBLWzLazf7U0jAVwiSoWp3qCdgbTtdavVnbYtIaP3ivpZNKg1XCksnwwZ9OLCW/zBYY7nnHWulzqfKtUnjXKbY+VXYGC1XJMj8MkQVCiVUWGfSY6kWm8M6TgEHvqMQLWVY/EN0kJZqwtqk9iWZivfDTXliYxxpcluzfDi8Kj5UZ8MNjOfzhuW3C6ys9vJLg1innZ5+HnSQnYSqq1wOgFd7YQpWgSAe8wsq4etnRsmRhbHPKSpIBegL2imNr4TpX9/T809bT9Sg0tXBotsRNnHtG88rn1lqlYUIR8G7t4IPQeis1MMYESwPQGB+vN4VX329xQqUKRjVfWlR4U8KC2ZfC61KHN0hLA2MM//ZmVvq7h04n7tJgfcnS4MHD66Tw7q/X0hBRiwugA97YIii8EfbNCN4nJ0tDCAGvaltaewq94ViHt86FF7U00AXRuubgE0OcGCYWAKeJgn4vKtFUNTHSGrw3beZboh6cKaJcx4JitihPVGmEj3fYg4dX76jEC9VCN6pb2CdIQ6ZN7UkhscxPwEvvnbY0XYzX/tqU16ZKSi/tY6fymM6bwly5lLTmoUqD0zg2kTddlW+n32uFVxM4dJCJssIrlnOp3pCdaQP2+3OxxBoevI8pFC2tOHmjoY0nSBBEA15BoWnwIoV2C3NSt6myobI0yGwZJZMJNXiv7G3mLD+5MnDcoa6oGzJ1F9AKr8Ybqms/ah0PLei9IvPwOnlRKW4e3q4mfi6br2Muk9kZLEoM+OGxbF2WBlWFBgs3lVc3ntCEililIboXGfUL2T28hmEIKm+jk8dUg5xWnLzhWKWhTrWHBkFuloZGJznS8loFE0qVVVR45QFvOmEILbUn86bg0T2nM4Xt3XyaRT0+XlqiyaIRCu8oUcb7WpM64I05i4o5JqqnkVoaNrUnhZwRryqsrIwXtTQkDEOsxVvDglxmZxjo4seBh47mJAGvKmlNEvBKavDacQ14nZLWIhyL6IA3hjDGBDUpynV4RUsDUe1CtjWMKxQtXaXBG2FaGuhiKOxuRnRrHnCoR+qxLBkgbn+eXCgLE/S2zpQw0e2vozSZSuF1agFcCyZjGCVbnr2ZhMTSIH/fp4bzeNcPx/B7P53Am4rOc5rwiZPCyxgTktY2t6cc23o7kSuDq+zTlABSktrD4vjkfzH53FgBx2xjQUsS+Pu3dXPP2X0yJ+w+WcF2OgHYD63EKsm3dlQJiBZO44zJ5GU9LaLsDNQBbwyRzRNRXlU5WRoASS3eRge8ikFIK07ecE5aq++1xaQ150xorxNWrcjUT9Xn96rwAqJS/dxogZtQN7UlkUkZQsDbCIWXTpz1Mp03uUSmzrSB1lQCXc1U4RW/x5LJ8J+emMIzIwX8+/Ecbn9yKtBjWy0slkwMzhQDLRmmDHgj6OGdzJvcvNOWMtDdZNScWOZWocEiiG5r/3aYV3f/w5kteGtvE7bZklgLJm+hShlYWlAahuGq8lK1mnabcyqBOFNgyhq+QLRjER3wxhCZwhblpDWh0xq5uahPs9EBr6pKQ74c7e8xKjiWJau3SkPBReEN2cMrq/OrSvjwo/BSJehZ0jXOCnS3d/Gd1eqp1DAUksIrK0kGwJOl4ehcmVO3nhkp4Pi8Vnn9cGK+hKu/N4orHhjFO34whrmAyiiofJ9RbDwhVGhoT8Kow3JALQDtiu5s9XZbK5uMa58OAO89qxWGYeDmrRnl361rSSy1HAbcbQ3Uj7xzHT/OOCm8bqq1Dng1gSLbQmqw0FUXwmBBVsdhWxqcVt1a5XXHsfFEHYNdtsS46zidkNS6rNGDVyuyhC7V5xc7ralflypNe0b4gPeczkrAey7x8HopCq9C6eENuHkHVcV7M5XPKlgaJPe57Bh/ekJdCk4j8i8HF3FkrvI9vjpZxPePyMtb+SVOCq8sYQ2oLKDt2/2zBebJkuG2S2lRb2myJ4fz3JjTkTZw46ZKtRa3gNeO0G2t5KzwXrg2DftHGlo0lXMhHXPpd6EDXk2gyBS2KF9k7paGcFuOjjmsDrSP1x0nFbweMUlsOsGrFoDYtGEiZ4I1oMy1CjsAACAASURBVFOYxbAPSwO9dBw9vBni4SWB3tmnFd4z25Jc4DyRN2u2cdAuaxZBV2mgr9enVHjF75E2xgCAH5/IBXh0K5+jRN08HJAPOk4eXlnCGlBJLBMS1zzMN14DXrHbmvy1D84UcWSuJIxd/0rsDL+5uWWpru4l69LY3C5fRVNl2a+lobs5gbM7vS2uaRBP2zVHORbRAW8MkV1QUU5ac/M/rWkKT+EtmQxTefV3pRVedxql8NKFDrUzAEAmZXDZ0SVWqS/bCLIlhllJUCab+BljdXl4KZalIZkwltRei1p9vKqktYm8GajXk3qCqwqvWI2FTviygPfxoby2GvmAjp9BLGgYY7Gq0nBigb9Hzmyv3kO17BIJtjxVwOshae0Lv5rDWx4Yxc5/HcFNPxrHY6fypxPRGb5/lA9437etdenfhmHg3VvkKi99X7f2wjRprTVlCLtJ+2fktgb6fZ3RRgNe6Z9FAh3wxhDZBRXlVRUdLKj/idYlbaSH121w06XJ3GlUWTKh6USTfHiqp1uSH1TJXLKAv8QA+0dPGvIsbgu3gNeutpwbgI83W2KOC0lVbepaGJGUJAMqinfGNhGXmTg2nJQE5YslhqdHtK3BK/Q+oqX1aqFg8tc3/7vojZmCwmsLympJfF0gW1ft6dosDbkSw9/8am7p52dGCrj5x+P4zR+N4wsvz3Hzz7rmBK7b2Mz9vcrWQN/Xrdsa9fC2pRLY3k19vB4VXhrwRvB6sNABbwyRBbdRbTzBGHMt2E0V3kYGvKqENQvdbc0d56S12l9XsDQ0e5tUGhXwyhLWAHnSmh91F3AOeJsSVc8hAAwE4ONVfRaLIGvxqjy8gMTHW3BXeAHgx8e1rcErdAwLQuF1rMwSwbmHliQ702YFqMVnK1oa5PevYLki52LfdFG6YH56pID/8dIc99hvn5VBmiyaL+9J44xW0dZAg3hqp3KzNLSmDJxHFV5F4toEUdzo8URZfNMBbwyRraCiuuVXMCvql0XKAJrIzSjrPNUo3Fbz2tLgTliWBlq9w0LYkmzQHpoqUJBN/n4qNADixGhnW2cKSdtEt10oTea/Fi/1CFOC9PGqPLyAe6UGVcD7E+3j9QwVDIJYzDi1oo2iRuBP4Q3O0uAWTL8y6f3efe9ZopqbMAz81tYW4XH6vhmXbmtim2QD5wo1v2tUeHXAqwmSOCm8dKBsk2wF0a3r5VR4taXBnZyDwFhm6k5kbkzRtsIeLQ2Naj6hUkVlAS+dUBziWQBAj4PCSz27QvOJGiwNqpJkFkHW4nVWeF0C3gX5uTw8V8ahOkqyrRYYY5gi3+lozqz5nrRwalRQjNjcky0xbkxIGsCGVnvAS0qH1ZC0RrusWbjtPr1KAl77vWHnjNYk3trXJP2dzNZAk9bcFF7Z5xnoSsP+V8fmy4KVAxA/04ZW/jNU7C/RuiYsdMAbQ6R1eCM26FjQG0Y2UAithR2SyurFLTjSVRqckSVn0VNaq63Bq8IbVnthPx5eKjK7K7wOAS8JcOnPR+fKvnd0VCXJLIKsxeus8Kq7rZVNJq2KYaGrNbiTLYtdOE1Wf71qJ4U3ah5emrC2oTXJ+elrsUTR0poqhVeWj2JfbLw6xQe8X7iqGz++aT2uJ17dP97RhoQhf48re5vQTwLl9eTnjE8Pb2vKQCZlYKutuQWDPEGWfl/rW5JCCcYo1mYGdMAbS2Q7uLkyGlqeqVbErSDxkgvT0kDbCtMVtrY0OFMw+Rab6YQ4uNaatCA0nVAovOua6yvu7pVhRRkvqcLr08ObThhC8GdBywO1phKcB5EBOOSz1BSt0EAnzKAU3kKZT44zwAcYTt3WRnOmYwcnbWtwR1WBpl7LirOHt66XDhxZ0wk7tVRpoAq3bKcSEO9rhup8xhgTFN6L1qZxZV8zvvcf1uNHN63Hn17cji9f043bL2hXHkvCMHDHjurvz2hN4speXg12U3jnFZWTzu12T5Cl4+36lgSaE87vFxVS7k/RRA2VR6ZgOhe7Xw681C9sTxlIGVWvb7bMkC0xIZAKAlom5uzOFEaz1aL/OuB1hk58maRxWj2pPl5riSvPHt6Quq2pvI8ytcuvhxeoTBQzkmiBWhiAio/XPpEfmClix9q08DwVVOHdub4J/25LBAsqaY1ahta3JDh1TbA02M4dtV10NRlcQPzUcB7zRVPZ5UqjtoNVzq/364Xi5NuPnsLrHPCKPlsPVRo8enit17ff1+M5Ez2ZJE4slLnruSNtcHV1r+prxlV9vNKr4mMXtmNdSwKH58q45dxWIbnNzcNLxzDrnjqvK4UfH68+LktcowuEdS2JynhnU42jdk1Y6JEjhqgCXqdV+HIhM8dTDMMITeWlEzL1SzbSTrESEJTMlBHYdpYQ8CoU0CD61Xth2EfSml+FFxB9dxbUwgCIQbDf0mQ0GYy2Eg3K0kAD5z6Swe1kaaBB+RU9TTjLtsVaMIHHTunyZE6oxk23Kh1uOCatRUzNO0YVXpJUVcv4IXpe1aGTqr0wVXd3rEkrbQtuGIaBDw204f+6rJOrMWxBx2Q3D68VwG8XKjXw48xC0eQWP02JSuDupihHBR3wxhDVABO1gQcQvU9ezf5jASbR2KGDGw0utMLrjCywo+pCrat7mmwjazwByLYk/V0r03kTH/zpBLZ/ewj/7bkZpRVIVb9U7uGtTeGldDUZwucDxFq8fptPUEvDpev5LdAgarUCojWij1gnnLqt0WPc2JbEr2/iM9K1rcEZtcLbOEtDPaUIG8GJeXXTCcC9dJgMIUBUWBoACJ3crEUIrdBwoY8dGr+IHl7+96pSoUItXjLO0O9qXUulG6YoekQvFgF0wBtLVKunKHZbk3V0kUFXxW6D0MmFMr41uIB9ilqBKmhb4W2dOuD1g8zS0EQD3hqvQ6que7Y0+FR4v/L6PH50PIeRrIm/f3UeT48UhOeUTKb0BntTeN2PQxbwDnSlhHbKAMQuSD5q8ZZMJqjVlzRI4aVNJ3ozVOFVe+apCr2hNYkbhYA3H8lchaigqiNer0fbuSxZtM7HcbJw2kQVXomH162qwLxH4QZQWyaowtvIgNdJcWWMiTuvSx5efpw5PFvixnPRznC6qYzg4a3xwBuMDnhjiComi6TCK1ga5JccLdPk1PlpZLGMq743gjuenMbbHxrFC2NiwKKCBjGCpUEHvI7ILA1NdHVfa5UG2nhCkbQmZFn7tL/8/CSvEu4dFa+f0awJ1d0kr8PL/1yrwksT1ixojcyDMyXPpX9GsybXJWtdcwJ9mQTsX+98iWE+AKnOXeH1bmnY2JrENf3NnB/x5GIZr03p8mQqGqXwOgW8UStLdsIlaa0lZaDdFrCWmXs5Sq9lyQB1Ld4wA14nD2+2zLixrSWJpbrfHekEt0AoM343SZawBgDNqWBEj0ajA94YolJ4o+ib8WppoKqdUyLBw8eymD09QBVN4P7Di56OpVBm3MCWMICzOqjCy7SC5AAN9loCUngZY55bC3c3Jbh6kTMF5jlRLldi+NUEP/HIKh44KWKLHsoCevHwyppP0AWYxfqWBOdpzpaZkJyjQggk25IwDENQX4NoL0wDK/oe9JxO2+7HIaIOb2xLoiVl4FpSsknbGtSoAt56PbxOloYoKbxlkwntqanCC/hvL+x1p1L22uM5E/NFE2/OVd/DAHB+d+NqBtAFt10Mc+saR4/ryeGqb14Z8MakSoMOeGOIKqCIYrc1L1UaAFHhdSo1Rb1+9GcVVAlc25xAS8rgjslkFbVLI0cW2AkBbw0T4HyJcSWpMklD6AdvkUwYgr/Xay3elyYKgudQFvA6BQhBdFoDVJYGuepjGIbgr/PaYljwxp4uFE9L8gVRmsy/h9em8C6IlgYAuHETH/A+qgNeJdQHb1G3wutUpSFC29fDWZPr7Lm2OSHdVfTbXljwvDpUChHseTkTr08VOVX1nK6UcrczCKiH1253pPYMOifTBaZ9R4wuDCy/slOAHSV0wBtD1ApvyAfiAS9VGgB1ZqsMOnh7HcxpIpwVZAvbrFHslRkRBIU3IEuDWJLMOWCs1dbwnMS+IFd41a+XlXSdqkXhlXVbO1tSocGCJli+Oecx4JUovICovgbRXthN4VUFvIwxwcNrBeY0cW3vaEHpVV3tOJclqx3npLXoBDdiwprcTC9TYZ1QeV69vPZEzsSrk/xxXbimcXYGwJ/C207m5Heewd9vTwwXlv5ebDphBbz8+0dJ9bejA94Yolo9RXEbgXZaUyatESXIqQXwaI4GvN4GczqoWQOT0zarhodeY0ElrdGJWtV0wsLvhGWxV+L3Hs2amCVRuqPCK/lVLQqvrNvatg51ttsZZGvW6zY1rW9rKadUfQ2iFq+rwksWMlbAO1vkE2mak9UqHZvbU9w2a5mJPmxNBVXAO1tkju2B3XC0NERo3qHJmRtaVQEv/7hbGUw/Aa8saS1M/y4gLrjt589t1/X87tTSYtN6/p6Riq1BtDScTloTAuwaD7zB6IA3hqgupigGvF7rFwqDhMPkS5Vap+CYe03yvJ7TN6vTNquGR1aNIJ2s39JAFxm0IxdFKP3j4RpgjEkT1IBKNrIdp+39oBTeM9qSnBd5S3vScZtzA1FLqedVRVgKL2PMVeHtTNN7jSnU3SRXrYKqvL8Y0vV4ZTgFbvXYGhyT1iI0XNJxQLaLAtRgafBRlkyu8IYb8ApJa7bxya1NsmEYeAdReX92snK/ycqSAdrSoGkgcarDKwS8ioHCj4eXDtxzHtULWRcowDlzXMMjKLwpAzQ2rWUCFJtOOA9NoqXBXVI4Nl9WBnUHScCraisMePXwuh4O1rUk8aGBVgCVJJb//aIOx+f3t/Kf2avCS5N4NjZI4Z0vMe5+b06K91ZTUu6ZV/l3La4grVODKqO20nCyetRTazkuSWs02Vm2iwKIpcmckqRNxsSA12FBKwumX58KN+B1Kku2QNskS9TqdxIf789O76jIuqy5vV+U0K2FY0icLA1uBnkLrx7eiookDk6jWRNbO5yDJGq4t2wUVE3U/kA10ioNAazuaUkyVdMJi1osDc85lK+jPl6n4E+mdtH50ovCCwBffls3/pdz29DRZOC8budJkAaBni0NISm8o5IavLKawl1NBvcdzuRNpQpt0UkWytQqpakw5dApsp7z6yQoRKkElUqBpPip5S2OedUyXjJaUwm0pqrXeIkkQq9pNjjLQCPIkMgu5+Dhle0qXb+xGfaG8a9NlTC0WBYWBqoqDVG6JuxohTeGKAPeCFYX8Fq/sKvJgP2+WyjJVduZApMmRXkpqUSfU1V41d2fNDw0sMukgum05jdpTeiW5CHgVdkZAODQDLU0OEyAAXVaAyrbh1f0NrkGuwDQTwLeIQ+KLGNMWt8WCF7hHXbx71rI7jeVz9iCTsrUU6mpBGZOzYfqqcLhZGmI0oaYoEAqFs7CDpHD+CH6d93DJmq5snPhmrR0IRgkouJa/beXyklrW5K4vIcfk35+MqcuS+bSyjgq6IA3hsSpDi8NWlUBr2EYnnxVtFOahZfJWmW41x5e79BFVUtSYmmoYV4VFF63pDVF+04nHANem8LLmHNwkC9DaPoga8gRND0tCdjnsak8c13kTuVNzvPfnjLQefq77SNBJVVo/UJtCVRBtpDdb9SPLAS8KarwRm+sW27cmubUo/A6BdJRUvNUncAofnaI/Ph3LWQlBy0abWcAnBtPuHl4LW4gPt5HT+Q4MchAdZymAXZUp1Ad8MYQ1cUUxYBXuLkcknK8qHYq756XxDXVdgz1Gepua2roxJdJGkLSWi2ePqHpRMCWhsWSmDhi5+BsaanhyEyJ9yF3pA1hAqHbnLUqvH5IJgxBNaWqKuWkpJmDBfXNj+bKnru3yXiN+BRVXeNknvmTRIWmFSmo959apTTqCg0W9Sj4zklr0TkX1NKgCjz9tLL32jzJy/sC4QS8zh5eb5+H+nh/fJyvjLKmObFk7YiLh1cHvDFEdTFFMWnNTzkXL+2FVdYFL9t1YpUGeVkybWlQI20tTCwNtbQanSbeQ99Jay4B74vjRa4g/Zb2JBfEzhTYkko8XuA/T18m6VjIHaitSkMtUFuDm4/XySrQlk6gwxZIFs36/Osvkw52Fysmdm+WBv457eT7n6+jxNZKxS3gbVjSWoRKUKmSqih+PLxemyd5eV8AuCgMhTelDkCFXVeFCHV5TxM6bYtTurlqH4MFhTeCsQigA95YorqYnLadlov6epDLktPko6sXD68Q8Ga0pcEvsqQ16t+qqfGEz6Q1v2XJaMOJK/uasK2TP3DL1iAEvK0JYZKj13UtVRpqQQx4nT+3WzKY2G2ttmufMYaXiYJ+0Tr5xC4uME0hsY5aGtqph7e4+lqAzxRMx2Q9GvBS209dloa4KLweA97ONJ8zsqjIGan8zlsteTtUQbZIGRA6JjYCpzJhXi0NqYSB6zc0S38H8N+tVng1DUOt8IZ8IB6gCq+T/8mLh5c2nVh63EXhzZUY5mw3etKobq3SgFdXaVAjUzJp0tqyWBryZccA6FkS8O7qaRK23A/OyAPefpnCKwS8/Ps1SuGlgSANaCliwhr/vVGfba3b3iNZk7tfM0kDA0pLg7iTY7ckGRAD+6YkH6CUWHR9go3gH16fx9n3DWHg28N46EhW+hzqYz9vDf/912VpcAhgolKWbKFocqJPU0LcGbAwDENYEKhUXmqf8dISWBVon9udaojdieJkwfIjQtGua3bs3x8drqPUbtqODnhjSFzKkvmvX+hemow2nVh63EXhk/l3E6czZWlFAK3wqpG2Fg7C0kC+8+4m50mhLWXAfrnky+rMfcaYUJJsV2+T0Kr38GzlGpEpvH49vPQ7CYp+6uF1C3hpDV6i8PYFVJqM2hkuWJNSlm6iHt590/zf9mYSwiIKkCWurY77dLFk4i9/OYsSqwQrn35+Rvo8ulDf3sUriaNZs2aP9qKDZ7pQRiTUdpl/16kagldbg58A0f7eMsLw7wJAOgGuqU2JAaXTCxNBhHL4PDecoVZ4nSwNUYtFLHTAG0OUndYiVqqHBgWZpOFYv7DHQ3thVdKamz9N1VYY0GXJ/CBtLRyEpYG2FnZReCsKjbfSZEfmytz5b0sZuGBNGtuowquyNMTYw+vW0EG0NNQmzbxC7AwXK+wMgFj3et80XxJO1Q6W2hrmVkni2v7pEhekHJ4rS0UPukuyoTXBeTBLzFs1E0rRZJz/PWFU/rNgp197uaH3/1qFrcCCJkmrEl9r8vAqxq+L1oQT8BqGofTxCnk1DruuZ7ansL1LvlNjF6joeFdLacow0AFvDImLwutnJQl4ay+sKkvmrvDShLXqzSrzFGrkeEla85uwYDImLDLoIkTGWo8KzV6i7l62Po1UwsA5JOC1PLwTRQ8B7zJUaQDEYJB6Xymylr12qMJbawezlyf57/iitU2KZ4rn9vCct4BXUHijEGWFwBtTYnUR2XmnAe+a5gT6qYJfQ+k5mcIZxUYD9P53qpQg+72qUoPfeczpvcNSeAExj8AaoxbJzoibYq1See2iEW0+FDXxzUIHvDFE5ZmKWsDrt36hEPBKBiDVhDxXZI6JFaq2wgDQ2WRw2z9zRba0/aPhkSq8dTaemC0w2P+iI20g5cES4HXCovV3d51uU0s9vIdPlyYTPLwSSwO9tpdN4XUJUGm5L/ektRoVXmJpcMpEp5YGernQY7SgStRqqcVLFXBAEfBKEj/p+a3Fxyvs1KUMpAPY1QkaYRcvoNKG1DrT7qkOr/waDjPgVdmwRMXa+XtS+Xjt359WeDUNoWwyqKxrUQt4/dYv7CGDBK28wBhzrMbgNJiravACQMIw0EEm4dWyXeoXWeMJamnwWx5P8O+6TFQWXj14YsBbUSzWtyS4lrULJYbhrIkJiaWBqjruCq+HD1ADtFyXk6Vhvmhi1qacpxPiIoEqvF6qnVDmiiYOz1WPI2EAO9aqu9a7qfdUhbYQKjWsktJk1OMMiOXmALGt8JrmRCAebZk1rd5dnUbgta3w0u+FSi/ye8lvgKh6775MYqkyUBiIlRoq//erWF/d3yQdz3gPL/87xVe57OiAN2Y4ZcRGrQ4vnZDcAl5ZAGNPhph3aZ3pZGsYV7QVttClybwhNJ6QJa35/OqECg0e7AyAWJpMVsZuvmgKDRGuON0y0zAMnN0lVmoQFV4vHl7+fRvRaQ2ofGb71zNXZJhTfOGyUl8JksQThMJLG3qc05lyDArcAl4a1FvQ8WO1NJ+QKbyy6hwyS0MQ59eTpSECih4NWN0CXi9VgYDaLA1dTQbo08JUdwGJwluDhxeoBPhX94m2BqeyZFFYAMnQAW/McCr34bSlvxz4Nft3pPmartky425ON/XJKXGN2iPoSluXJvOGXOGtb/Kj37VbhQYLOmHJEnJeGC9yW+bndKa4ZBZqa/jVRAFZs/r+zcnK8USh0xpQCdKprUF13Z9aIF3WJMqp0F64BgWQ2hmcEtYA0dJAUVka6FbyavDwzhdNHJsXzy9txQwoPLz0WqnF0iBZ5AqWhggoemLreLeAt7akNS9VGgzDEALuMBpO2GlOUYXX8vD6/zzvlPh47d8fXQBFbbfZQge8McPpQopaHV4/bYWByiCxvlk9CLn5z5wVXufVPw2ytMIrR67w8s/xu7qXTdRe8OLBU/l3LWjA+/QI//zeTFKa8UwD3rA8vIAscU1+rbo1nQBOl26y/TyRM303EqAVGtwm9k5Xhddb0tr8KihLdkCi7gJi9Q1ApfC6L2henyrilt0T+F8fm8SJefH96DieiajCKzSdcPEV0aRXVQULIeD14OEFxPEpbIWXjkHW2F1L1QmZj5erw6sVXk0jcLItRG1VRRUYVRFwO+sz6iDGTX1y9vDK2wpbCAqvLk0mRRbYiQqvv9ek37VnD6+HsmTPjea5n90C3mdG+OdbdW9pwGsvxF8yGexfS8KAsJ0ZJP1ky19VqcGtJBkApBO8EsWgVrpUCB3WXCb2dMJwVJXUSWtit7WVzhsS/y4gnvM82Q1LGpVuYn0udZtNxnDL7kk8dCSH+w9ncceT08J7Zctip7G0Qyev5YJ6eGlAS/FsaSiKn98Ll6yrjjUpA3hrr7pySSOgAW++zFA2RVsgHdtknNedwg5bI5NL16c525bo4V3+60GGDnhjRpwC3lpWkk7thVUlyZZ+7xAQU/WXJsh58fC+OlnE/YcWlckNKx2TMUlHMQhNAnxbGoSmE7UpvFShqTScoP5dftKhpclo4o+V9OOUtCZbBDgVvK8XWmpKlbgmlCRTBJKCz9Ol1JmdosmEslletm5V57gjbaBDsRNELQ3zq8DSIPPvAqJ6L9qCKk0X3MrO7ZsuYXCm+h5Pj+SFJhKyKg10TRoFsd1vWTKatCbLAQAknlePAe8nd3bgbf1N2NSWxP94azc2tasTORuBoPCWmNAxry1lCL5+GYZh4BvXr8W7t7Tg3Vta8PVr13K/FxTeCFwPMsI9A5q6cbY0RGsCCKJ+oT2IpYP1lvYkjtr8bU7+NLce60K3NTKB7D6Zw3t/MgGTAWe0JvHce3s9ZeuuJOi115ysDIRiW8loWBoOzZa4ILgjbeC8bn7Io80nKJYHknp47V7msCo0WHitxXuSdllTJIP1ZZJ4faoa9Pjx8e6fLnGT24ZWb5noXU0GTi6Kj6vsDIC4QxSGwvv8WAHPjORx46YWbO8Od0saAPZJavAClUUOY2xpYSUrSQZUugTaoWMktfwUzcpCosO2uKDCRUayqxOF9sJ+y5JRBXg6XylHSUsi1lKlAQC2dKTwyLt6PD23EcgUXurf9apWA8D27jTuvWGd9He605qmITitnKKWtFZL/UKqvNoHMargUk+UysO7WDK54DudEBNn3Lqt/dO+haXkp5OLZfzsJL/1vRqQJawBYtFx35aGGqs0CHV4yfl/lkzmb+lpEjr9dTcnHJWgPg+WBqFCQwP9u4Cs25q3Kg2qcl/1ZPILHdY8+hRptzULp4BXtDQ0VkZ6ZiSPX3t4DJ96bhbv+MEYjs7J1dZG8oZC4S2Y/Ba+uGisXINrmxOwX44zBcbdx3tGxHGM3kd0XmlNJQJpJx4kZZMJ34GbpSGdMLjcDQbxewRq26mMArRSTLbMGvZZtIe3QXz961/HxRdfjL6+Plx33XV4+umnHZ//5JNP4rrrrkNfXx8uueQSfOMb3wjpSBuD08rJ3i87CtSyMnbyVVGP7o61tFe8fKKWZe/SLWfRw8v/zatEaaHq2WqAfr2W6kktDX4nP7EOr7dBmCrBU3kTZdv1/8yIc8KaBfXx2rGqGDglrYVVocFCqMWruO7ptvcGhaWhnm5rr/josGZHlbimsl0AksYTDV7g/38HqhL0YonhpydzDX0/ylzRxAmHccbu0VbtkiQMw3FBQxVe2WvJLA1Couoyb2FPFUyueU1XkyGMSzK8JL7S8ndek9aWG9r7Il9mgg0oqM+iqzQ0gAceeACf/OQnceedd+Lxxx/Hrl278P73vx/Hjx+XPv/IkSP4wAc+gF27duHxxx/Hn/7pn+LP//zP8dBDD4V85MHhtnKK0oVWk6WBDM5jnIeXH4x2kL7kKg+vWINXnFSd2gvPF00cmeMnnlo6FsUdQeE9fT6FFpY+F121WhrSCYNT6hn4rd09JOC9us9/wGv5ZZ06rYVZoQEQFV6ZpaFQ5pu0GBC9vxY9dSi8L9MOay4lySxUpclUtgtA9E42ujnMS+P89UN3fRrNfoW6a2GvziHUsrbdQ6oFzWi2zDUMsaAKL/V9BpG09pMTOfzuTyfwF8/PBNKG1q9/t/o899JktZQliwJSD6/PtsJeoXNAwYTgBY8CsQp47777bnzoQx/CLbfcgu3bt+Ouu+5CX1+fUrW955570N/fj7vuugvbt2/HLbfcgg9+8IP48pe/HPKRB4dbQBslH6/Qac1TS0b1NjWdiLd3uqPCLwAAIABJREFUp7hs+FlFe2Ev9RnpBGwPeN+YEieeWjoWxR0hu1eh8NZdpcGjpQFQXy+j2TIOzlbPW9IALu+pReGtvL5T0lrYCq9oaSgLk8ux+RKnePVmEoL1xKJWhZcxVrulQXGOHT28Qmvhxt2DiyUT+2b4+77RFgoKTQakOCq8TfaAV76gkam7gJj8KfN9UkXPTym7ocUyfv9nE/jx8Rz+7pV5fOnVOc9/q8JvSbKl53koTbZIGijFxtIg6bRWqx/ZDcMQVf+olUkFYhTwFgoFvPTSS7jhhhu4x2+44QY8++yz0r/Zu3ev8Px3vvOdePHFF1EsOg8mUcUtoI1SAYFaVsZO7YWpgtuXSQrqlEx5pdUdaEkyQNZ4onrsr0smnrFVqPDSa89SeOv18wkeXo8KL6AuTUbV3YvXpYXWtBbndDkEvBm5pSFXXj6FtzNtcJNuriyqj6+RRdq5jp+xNoX3+EKZe9+OtIEtHd4CjdoCXtpauHGL+1cn+YYljX4/GbRCA7187ZYVp10SWovXOr/U427hpvDKGk/4EVoeH8pzi2JqPaoFIWHNo8LrVqmhbDJhTvVSxisKyDy8tey6en6/CCYyUmJTpWFiYgLlchk9PXzWY09PD0ZHR6V/Mzo6iuuvv154fqlUwsTEBPr7+6V/Nzg4GMgxe8Hvex0bTQIQu55Y7Dv0JhYz0bjQxmaaAVRHxunRYQyWnSfTuZwBILP08/B8HoODg8iWgYVS69LjKYNh7OghdBotGLKt214YPIpCBym9cyIFoKruJXOzGByc4J4zs8C/79h8buncPP1mGgCvXB2bygrnLszrZjkYnEkAsBUgL1S+o0qp0Oq5yRbLvr6LyVwGsLU/mDzxJooeR6bmchPsw9grb55Ez1wZPzrMn7PzmxaVx5Sa58+9RQIM0ycOY84Axslzphaq18ehaf57KefFayNo1qVasFiqXvd73jiMs9uq9/1jR/nPvymxgMFBscYqAGTJtX9yJufp+H8xwY9F52RKOHTwoKfjL87w96RFefIkBhXWgfEFeg7yno6zlnPxk1Pi8Q1NzGBwcMz3a9XKL0/y4+dF7WW8MFv9ef/wFAYHRwAAR0b5812enVj6XTrH/+6NE+MYTA7hsaP861sMDo1jsGlo6eeRSf4em5sYRX4+yT12YngEg/C2UHqWXJsT8+p7Uzg2xfPeGOavxXRhHoODk66vl8jyx3Lg5BgGk9XPvlAC7GNbJsE8X+PLzfwUfw0PjU+iI2vC/j2ZOW/fkxeS4MfxNwYPYZ2Dpb8RY+TAwIDj72MT8FrQZCN7aRavz5c9bsftSwuKwcFB3+/VbS4AB+QTFwD0b9qCgZA7uqhgg2MAqqv3gS1nYGCDOlgHgI1FE3i+OuBMlxI455xzTpcfG1l6vC+TwrnnDuDMI+PYv1DNNG5evxEDm0nwMj0DYL56HBvWYWCgg3tK60IZeHF46ecsUkvn5sRB/nMAwAxLcefOz7l0u2ajytETOeCV6kJhTXsrBgY2Y7ZgAs9Wz1kZCc/fRdFkWHzy1NLPBoCd553jqTYkAGwZmcITk9Xkoua1fRgYaMO+faMAqsr8b2zvw8BWMagFTl9zLw0Jj/dkkjjv3MrnYNNF4KXqwtpMNmFg4EwAwKHjWeDV6qSxtqPyvTSSzQfHcHy4ek0292zCgK0b0qmjEwCqSVbXbOvBwECb9LXW5fhrf6qc9HT+/nV+FkB1O/qKMzoxMNDt6fjPZgvAEXEcu3L7WUK7Y4vm+RLwYnUMKCbSS+dARS1jLACcHJ4CwNdNS7d1YGBgrfwPGsDxF4YBWxD5m+eswQsvzC79vJBqw8DAFgCAeWISQHbpd+du6sPA2ZVA7fzSPHB8Zul3pUwXzjyrG/uert53doy2bu48pk/yr711Yz+GRwvAyMLSY93rejEw0O7pc40f56/NcqrF0/3idC6Ti3MAqt/Ntt5uDAx0ub7mQH4OOFH9O9a2hvvsw4tlYE/13mhv8nZvRIFNxXngSPW8t3Z0o3NNGkD1vutf04mBgTWBvF/bi8OYKlav1zO2nIUzFbWHa70v6yU2loZ169YhmUwKau74+Lig+lr09vZKn59KpbB2bXgDV5C4Wxqioe4CtVka2tIJLkGoYFaSU6hVwbIyeGmdSe0HXjy8VuUAxpjU0jCaNWH6NOWbjOH2J6bQd+8p/NaPxmLXwIJ6eFWWBj+NJ2iDj+5mb4XQLeiW5ETOxHzRFJKprlIkrAGVa06WLGX3tjpXaeD/rtEeXkDc+qcVGV4l3lqntqbdzQluu3yuyDz5Vf22FLYjszSkDDGBzg6twzvXQE/tSxPiNnuYnd1mCiZO2s5pygCu6SeKs93Dq6jDC8gsDSZ+NVFQeu0FS4OnKg3ev5sDxBtNE6lqYYKMpW41eC1o0prbZ4+LfxeQtxZeaKAfWfTwRicWsYhNwNvU1ISdO3di9+7d3OO7d+/GlVdeKf2bXbt24Re/+IXw/EsvvRTpdDRUUL/EOeD1enPJ2gvTQLZ3KeB19/B6yeBtSxlcvcpcuVKVYDhrCt23AKDM5DUbnfjB0RzuO7iIggk8MVzANw9IKu9HGJpNnVmqw8s/z0+GrpBd7iNhDZCVFSrj+bEC1+r3nM6UazMEWQMKewtfeu0u2tqthu3hBWTd1qrHM53ny1mlDOA8h6YJCcNAL/XOe2gvTBcVF3us0ACAq39q0d+adFzsyFoLNyITfLFkSiskhOnh3U9aCp/dmcKWDv4a9erhlXm0VQlrgJi4RRe6rSlDsshVvhxHyWQ4NEsC3gZUaXCrwWvhVpas1i5rUYB6ePOSOrxtATZPkiXJRY3YBLwAcMcdd+C+++7Dvffei/379+MTn/gEhoeH8ZGPfAQAcNttt+G2225bev5HPvIRnDp1Cp/85Cexf/9+3HvvvbjvvvvwsY99bLk+Qt2s9CoNgLy9ME1YswIYGsjISpO5tRUGKhYXGmzNFk28NqlObvRbqeHHx/k6nk6vHUVUCm/CMEDnAa+izTRZTPhJWAPECWsibwpJME7qrgVtMQw4K7w525wddpUGgA/GAb69MK0ZfW5XyvWYemlHLpf2wlM+g2qKTOFVNcawaE4anBJdYo2p//rqZBGyYZRm6zcSmrB23poUeloS3H02XWBLx+QU8NKqHqNZE3scAl6qloqNJ8ROa14bDRydKwtjQyABb56KGt6SJ4UqL0KFCqKIxqQGLyAvS1brnOwFoftehGIRi1h5eN/znvdgcnISd911F0ZGRnD++efj/vvvx+bNFf/PiRMnuOdv3boV999/P/7rf/2v+MY3voH+/n58/vOfx80337wchx8IbqJilLqt0e0Tr6tjWkVhLGtilAzCvaef00ueS58HeCtLBlRsDRO2xkMzBVNqZ1h6r2wZF6zxNskzxvD4EN/VKG61fFWd1oDKYFey/b5gMmUZLDu06cSaOhXeyZyJ4UV+Mn+rh4BXVprM7iWVbQ+ajCFhGI7fS6Nwai/sx85gUdn2rv7d0fkyruxTP5+qu+etSfsK9GULmw1t7ue+LWVwZewWiiaak8H2cn5pXH7P0/JcjYSWJDuvO41kwkB/a5JbaAwtmDi7KyFUOrEHvHQ8rSi86s9Cg2eqcsosDV7Lkh2YEb/bhRKrO6+h5ioNQllDfkxupCLaaKSthXWVhnhx66234tZbb5X+7pFHHhEeu+aaa/D44483+rBCw23VFKVVVa01/2TFwFUKr5uHd7bAK1EGxP7yFl3NCcBWiH06z/CaY8DrXfF5c64sdE3y8/dRwGnrvinBp/gUyowWthAYnCniU8/NcI/5VnhJWbLhrInDZMv06j7nREkAOFtStqvfthWcMAy0JPmyf7kyQ2vKWCaFl37u+gLeTaTD2V88P4MbzmhWKmVihzV/FjGZwutUksyiPZ3AdKH6WedLDEFnY7w0Ib/nw7Q0UIX3/NPq+YbWBDeOnFosY3NHErO2YNxApXSdRVs6gY60sdSoo2jyu17NSX77eSJvcgFoVuL7FNU8b59rcEa0ipRZ5e9b6ohGam08IZYl4z877UwWLw8v/3Ojy5LFQeGNz3JFAyA+Ht6iybjtxoQh3oAqZO2FqRrq1cP78qS4vasKvGXd1mg9Uzt+OlI9dkrsWe/n76OAqvEEIA52blvNPziaxQ0/GBMmdpmX1gl6rbw2WeQWWn2ZBLZ6qA3rpvAC6sQ1cSHg+nZ1Q4NDu4e3loD3fdv4ChanFk380S+muFbNdupJWAMqNXspbpYGQNwlakQimSxhDQg74KUKeuX6lCn7VN3tajKQJB5b2lzEzpW9zVynrHyZ/6xCa+GkzMPrVeGVj6f12kUED6/HhTNNki6afAc/QeGNsaUhL0laC9KTLLYyDuylA0MHvDGDBrz0co1K4r/gFUoZnresBEtDrqz04dKAlyrBtD3oJevVEzNVncZzJg5MB6PwUjsDUPHgRXEVrELVWhjwXqmhZDJ8+vkZfPjnk0Jr2B1rUrhjh7fSRhY0OYW+61v7mjxdd1s7UiAfQUgMa03y72VNhstRpYEmIg0vlmEyhpLJ8Ma0/4D3qr5m/G8X8t/9Y0N5fObFWeG5jLG6EtYAIJUwhKDXi8JLA475gAPebIkpW/oG4TX1wnTe5NoGpxPVBZks4KUWBFmwR8dJO1f2NglKpz1xTbYNLiSqehzHZAovUN9iYrFkcovxpoR8QaVCtDXYPruky1xcoONQtix+HpoIWg90DoiK+GZHB7wR4o2pIv7Ls9P4f16ZU/YXpxdRR1M0L7J6vEKyAUil8K5pTnDVFWaLjPvufkUm5p0OlbBpabJfjqtL9wDeFVpT4t+1iFPHNiFpzTbpCWWKJNfhRK6M9z46gS++Mi/87v3bMnj0N3s476EXOtOG0IHKzlUe7AxAZXKwJ64ZADa3Oyu81r1GvWpheHjb0gl02q7XEqvcJwdnS1wA3ptJCLYfFf/98k5cTfzOX3h5Hj86Vq3BemqhjN/72STeIEHhhR697HboAnNjWw0Kb8CJZKqENaAypvktRVgLVN09pzO11L77DPIdnVoQA17ZPeSs8DZhLZHnJm1Bn7Czk0rUVKWBMSZUn7CoZzEhtBVuSfjyAztVamikItpo6HiVb3SnNfJaXhdBYaID3ogwnTfxnkfH8dXXF/Dfn5/FF16W9xcvkPiIThpRCXjrqfcnVF6QeHitgDdhGKKtwSZzvzhOA16HeqTku3x6mA9SaVAnqwgh47WpkpD9u/QaHso/RQWhLJld4XWxNDDG8P6fTOAxEvinDODzV3bhH69dU5PaYBiGY83Nt/a6J6xZ/OeL2pdU3g+e0+pqaVhUWBrCUHgBYENGVPsEO4OPQDSVMHDP9WsF9fi2J6ZweLaEf96/gLc+OCJUGxnoSvn2XgO8fSVpVF7HDdpeOGiFV2VnsAgjKZjafLbbql/I6i871eC1UCm8BoC39DQJqrCl8JZNxi2gDFQWuuL97v69TORNLuHQTj3WFDHg9ecpEis1VD+wWJYsPiGTrEpDLbXxvaIVXo1n7ju4yG1j0UnFgl5EkQ1469g6oQPQyYUyl5SRNGgWsjxxbbZQUbwsDDhvvXaRQf914t99K1ELvSq8KnXXz2tEAaektTRVfMhzjy+U8QJZfPRnEnj4Xetx2wXtdWVoq2pudqQNT9v5Fn8w0IbnfqcP/3xJDndfI3YMy0gmEEC0GYWh8AKSxLVFsyb/rp2+1iTuuX4tv2tSYHjb90bx8aenufsQqCwC/+LyTn8Hfpo/39mBtc0JGAD+j0s6PCnR7Wmq8AYd8DqXCgzD1iBWaKguBDa0ySwN/DHJAl56rVic311ZrMgauADyGryGYaDZ5X6XcUBhFQHqO49UTPDadGLp+Q4Kr2BpiL2Ht3Gfh76fn2YkYRG7Kg0rEcYYvrl/gXtsXlHIlF5EdBs+H5GyZPWsJGnASwuV97QkuAL1qsQ1WcIaVYjs0O+SfpPXb2zmglevHt7HT8kXL35eIwpQf7g9AGymnj5yndLEmv5MAo+9u1fZRtYPlUoC4mR6RU8TUtSY68LZXSmYHaY0APeatOalHFsQbCDVRqQKbw1txq/ub8ZfXtGF/3NvtYIGDXyAylb4l97WjXN91N+1c01/M9743X4UTIYOjwviRietvTjurPAulBjkfT2DQ6jQYFPpaWLf0IIpNm/xofDuOr0DQheNVhAp67IGQLARebE0qPy7svfxg9eykypUwb7suOLk4aUWg1yZiR7eQKs08D9HJZ/IjlZ4I8DTIwWx3aJHDy9VeGUT03JQj1eIlkKiC0VqeVA1n/CTsAbISyXZuX4Dr/BO5EyUXFaxRZPhqWH1JBqngFfVeAKQKLzkY9Gt583tqUCCXUCt6HhpOOEHlaVBVHgDfVslsgSmIAJeALj9gjbcvLVF+ru2lIHPX9mFH75rfc3BrkVz0vAc7ALiTpFKGKgFWcJaPwkUw2gvLFRosCu8knJ0tHasHw/vlad3rVSWBlXAS207nhRex4C39vNYa5c1C6f2wo30vDYaqrjmGl6lYQV7eFXtfDX+uYeou4B6i4deRDRI85v1//pUEV98eQ57RtTb7rVQj8KbSRlod3g+VSuo59BSeOn2pFPCGuDc1jZpADvWprmJgUFUFygvjheEWo6yY40DqtbCgOjfKpLrkF7PdGu6HlRF5qkFpV7oZGctPqmSEZaHl25TvzpZxLBtAdWU8OaLlWEYBr58zRrh76/f2Iynf7sXt13QLpS+CgOhSkOAO1o0YW1rR1JIpGu0pWEqb3IdHNMJ3uucSRlcW+YyEwNJWfMW1eLySkvhpQGvZWmgAV/SUnj9b18PSppOWNTjxaYBv1+FV1YG04Keb6d5KWo0JfgqTkVT/J691sb39H6SADtq+P60p06dAgCcPHlS+vu3v/3t9R3RKmMiV8b3j2SFx63uMxQ6udJteD8K75G5Eq77/ig+/ctZvOuH44EGvQt1tmRc71BGh5Ytowrv6JLC6z1hDXBWeM/prLRnlfWld4LW36U+0DgpvIKH1zb4U0sDrVxAlbgg61nKAt50Ari8pz71keJd4V2egJd6xc/rTguBiR860gk8cOM63LS5BVf0pHH3Nd148MZ12NKxfE64jgZaGmjC2s51TcIip9Hthal/d8BWocGCBuG0G6Rc4RUf62lJ4KzTNaqFjoV5ecBr3QNiWTLh5QVU5d6AgKs0+PTwCnYO2yRb7zy2nBiGIYxF9q85YYjjdj3EQeH1PXJdffXVYIwhn8/jT/7kT3DhhRfiwgsvxI4dO1AoFHD06NFGHOeK5b7BRan/yWSV4DZDzhCdXOtReB8+ml3qa84AfP9oNjBVTMxu9RnwtiRwZE4+itLkFll7Yb8Ja4C4eLCz4/TWcG8myZVkcgtYaRDyrs0teODN6gInTgovnfyck9b4v6XKgpOX2i+yCW7nunSg6gXgPWkttCoNxMNLE8pqtTPYObM9hfveua7u1wkKammgAUk9iDtCaTxDWvA2uvkE9e+eJ6mysbE1ySXUHp7lbzZZHd51zQkkDN4etqu3WqNaVYt2UShJdtrS4FPhzZYYjs2rx7ogPbxe2wpbiFUanCwN8XKBtqQq9XdltPuoje8FqhetCIX3yJEjeOqpp5BMJrFt2zbs3bsXd955J8455xxs374dv/Vbv9WI41yRMAZ884BoZ7CQ1Zh0C3j9GMVPLfJPHg9QbZwl5Wf8+PQA0Vdlp4eoFWLSmuk7YQ1wbmt7wemJR2WfkJEtMewd41Uj2tEq1gqvk6VBUHgbtzUom+CCtjMAkqS1JUtDNBReShABb9SgOwNBBqDU879zfTqUzm52aNMQu3/Xgvp46RHJFN5kwhB2xq60leyjQfKEQuG1FO+0TzXv0GxJOE47gVZpqLMsmZOlIU51eAHnsShoP7JYpSHQlw8EV4XX3lfaYtOmTXjiiScwMDCw9Fi5XMbs7CzWrFkT/FGuUJ6fSeDQrDpgWigyrCd5I2LAS3wzPgYOGmxNKmrF1sI0udr91ul08mEJCq8kac1vwhoAdDoExBecbu2psk/I2Dua52pYbm5PLmVFL/19FFNZFYgF6O11ePnn0uu0kR5e2bUSdMIa4GBpKC2PwuvUTABYoQEvOQdB1eHNlpigrl6yrgmtKd5u1mgPL932P0+SFEhLk1HWNMuvvzPbk5w/2CngnbIUXkXAS4dzt+DGyb9beZ/a557JOi0NTklrcW4tDIQb8K4ID+9VV12FH/7wh8Lj9mAXAJLJpA52ffLAsPN6Q7bqpd7IeiwNw0ThpeVt6oGWoXJKCJNB1Qg71MIgK0vmN2ENqHhSVeLADoXC6+ThpU0Wrt3QjLW0M1yB+VqkLCdCa2FHhZf/W9HDG9zWIO0SBfhrOOGVVjqgK8qShVWloTnp3HTjohUY8NKFUlBVGmjC2pb2JNY0J4SgoNGWBjom2xPWLGhpMoqqW+Efntu29O9dPU24wh7wKpovqKo00OCGzksUmlgXpHJeb1myriaDG5PnitWW7/S44lSlAXAJeAMcg2XvFUUPr+sn3rBhA37/938fv/Ebv4E9e/aEcUyrgtFsGbsnSCenpPsgkBeS1movSzYSpsLr4I+V4eTDoiqrrL3wnhGagOJt8pcF5h1pY6nNrExNVkET1q7b0OzaGS7KOFoaJEXO7dBrOUiFd0t7kku+uGRdWhoE14ug8FqthZepSgMA9LfK75MzWpO+2zTHAdrpKqgAVEhYO70jRK/TRiu8sx7GTbeAV5V8+4fntuEnv9mDf37HWvzgXeu5WubtKYPzYObKFdVVVaXBrSoLhdbgpYuxWr/XssmETnN+y5IlDEO0dJwOouPcWhgQa/HaCbriBB33YqnwPvjgg3jwwQeRzWZx00034YMf/CD27dsXxrGtaL41uIgyq14gA10pIatcts0j1uF1DjScGAlT4fU5+dKg1g4NGBOG6E87sVD9bF4S1ixkk8X53eklWw99b5XCO1Mw8SJRmd9+uo6vqjNc1FFlbANiwgJNYpmjCm+Ag21nUwJ/cXkXUkalbupndnUF9tp2vDaeCMvDC4h+TosL167MnkJCp7WALA10R+jS0ztCNEmp0VUaaOJhp2Q8crI0dDYZjs1Wruhtws1bM0JwYhiGNHGNfl5llQaXr4V2WdtJLGa1LlymCyaXiNfVZNRUmUT08coV7tglrYVoaRCaD8Ux4AWA66+/Ho899hj+8R//Efv27cM111yDO+64AydOnGj08a1ITMbwzyRZ7ZZzW137xJdMxt3cSUPMdve6qlosmcLgOlNgKAfUDpD2TPdraVBtSyUMuUfLqS2pl4Q1C1nAu8MWPND3UQWrTw3nuXN1XndqKclIsEUsRl/hLZmMK2ljgA9y3SwNdELzm8Toxn/a0Y7RWzbi1Q/04239wSesAdGr0gCoE9dWon8XaFzSmixhDRCDgqA8wzKKJuMCLAPynZCNClUfkNfg9QrdEZjMSxTepU5r3revTca4ijmAaDGrVeGttySZhViarNJUyB7IGwjPrhQUoQa8CarwBvrygeDr6njf+96HvXv34q//+q/x6KOP4oorrsCnPvUpTE9PN+r4ViS/OJXnSm41J4EPndMqqF50EKDBbHPSELcRPA4cskCNoaJMBkGjktbWNSekBe9VrTMBbwlrFrLSZBfYSgN59fBSO8O1ti5tQmc4l+YVUYBeexlS0oZmbdMgkAYKjUj+SBjO6la9qJLWoqnwrsyAl27DBuHhVSWsAeJORCMtDXNkzOxoMjjbgcXa5oSyfmo9NhYaLE7mTEmiauU5fsqSnVwoc99bV5OBrR38B6i1vJzo360tIpWVJpMl2gZZxisMnBbfQY/BQve9gMSzIPF9d6TTafzxH/8xfvrTn2Lnzp24++67cckll+CLX/wicrlcI45xxfHtQ4vczzdvyWBtS9JVvaCr6OYkQIVNrwovTY6wCMrHOyMkrfm7uei2/9LjisDWyQLhJWHNQhaY2wNemnQ2U2BSG8kTkoQ1C7/NK6KAW1BHvzZalqyRHt6wkHVakynfAYvXjqy2gFdsLSxv0OMHVcIaIJ7zRga8gp1BcSEZhoF+xXgnq8HrFTFxzXRIWuP/tmBCeR6of/fcrlRgyYC0JJlf/64FDZTHc2bsE9YAcVfKDvXD18uK8PACwMjICB599FHcdddd+PCHP4yLL74Yl156Kfbs2QPDMNDX14fPfvazeMtb3iKt6KDh+fur1+Afrl2DnZ2VQOcj51WyZ8XtM/5mplsELTKF1+NFRhPWLKby9V+kZZMJg7dTFzMZqqQ1lXWBVm6w4zVhDVBYGmwBbzJhCGoArcU7nivjdZtilDCAa/odFN4YeHgF/y657mjSGt0oEKo0xHHykHh4ZV3WwlSBZElrmaSBbcvYDa2RNCUA+2kosfrrff74OC/UXLq+ukBuZN1fCt1d63QQCWi3NYv6FF7+NSdzoqXBum8ThgF6C6tEWlqh4dzutGAxC8rS4LdCgwVdKIxL/MtxDHidOqkF7+GtPZ8oLFxHxe3bt2NsbGxp9bZlyxa85S1vwUc/+lFcdtll2LlzJ9ra2nDs2DH81V/9Ff7gD/4Ad911F/7oj/6o4QcfV1pSBn737FZcZubBerYu9atvFxIk+AuGXkBNCbF1YK4sr51MUflGg1B4hYE7bUhtCE40Jw10NhlCAwuVdaFXoXT5SVgDREvDGa1JQfXtzfD1LEezJjptv/8VSYC5cE2ae40VofCSkYN6+gRLQ4M9vGFAg/xFScAbZKtOL8gU3gvWpHzfb3HBMAy0pw0uR2ChaKI5WdsXzxjD90hr9xs3VRenYvmsxi1O6VjnJBKoKjXUE/DKmk+oFF6gssgt2X6fN5mw8AW8KbzL7eGlgfJkTrQ0xDHgpYt0O0G3SRbay8cx4L300ktx+eWX47LLLsNll12mrLW7efNmfO1rX0NHRwe++MUv6oCYXRxMAAAgAElEQVTXI+faCosLagJRSWmtw5ZkJZBMJ/jVdcF0n3hVQVYQAS9NWOuqdRBqTmCW9KjtVVgdVAqvn4Q1QEyusxpO2OnLJPCK7efRbJkLeF8jXd4uIQH3SlB46WqeXm9undbiVsAdkHdak+26hIksaW2l2hks2tMJTNvGhfkSw9oaX+vVqRKXUJVOADdtrnZDFKs0NNDSIBEKVKisLH5zJexQO8CkLODlam8DdnNescwAyaW3n3SPG5AFvDUmA46TG7BWhVdWpYF+9iDboYeFk4e30WXJaLnGKOAa8H7729/29YJXX3017rnnnpoPaDXjtuqlCWnWarolaXABRrbEXDPFh5WWhgACXvIatWYO92SSODxHAl6Vwqt43E/CGgCcT3rXXy3J+Jd1WzvH9vavkoB3BwlAVoLCS9VOIWtbqNLAPxBHD68XS0OYFRqASoOWhAGuIshKD3iDbFrw0Ju8unvDxmYuaFxWD6/DuKkqTVaXpUGicqqqNADW/FP9vcpaIlN4hXNYYp52JilBeXjpZ18NHt5GV2mIosIb+JLl137t1/DNb34z6JddFVDVi24D06xHS+ykqpKXC220gZaGeis0WMh8vKrkNNXjfhLWAOD6jc348EArOtMGfv2MZvzH89qE57gFrK9OEUuDEPDGUeHlf6YFzWlZMnuCZdFk3Go/YTgPxFGFThDZElvWCg0AkEoYwu7Gig94A/LVMsbw4BGSQLw1w/0cpodXUHgdLQ3y363xmRxsR2ZpcGwn7iHAmc6bnP0rnQC2dFQsN/ZdIQZ/TZMshLbCNQe8xL8sqdIQx4DXaQHecA/vSqjS4EZ3dzduvvnmoF92VeDmF6Pbp9YFRi80LwOHSuGl6mwtiG2Fa7uxZO2FVUouDUIt/CSsAZUA4kvXrMGxP9iI7964Xuqjc6rFmy8zocj6hUQ17mriuxrNl1hDvYFB4KbwCkXHbYOdUKEhFb/yPoCkDm95+RVeALjGVgGkN5PwvciLG3ScrLU02atTJRyarQ6q1M4ge69at969EISlIeiyZGLjBd7SYIfamAAI9Xe3daSWdoNolYBa1PNGlSUbl3z2lZBoayfI9u7ACkla04SH2wCgmlzpRe3lQgvTw1urwivzY8mCYKDaXtj+0f0mrHlFaA1s+y73Txe5MlWb2sSkN8Mw0JtJct3gxnJm4ANQkLgpmWIh+uq/hS5rMbQzAPI6vHRxGbbCCwCf3dWF5qSB8WwZd17S4TjJrQRkpclq4Xtv8uoutTMAogpGrTlB4sfS0IgqDTIPL/38NGnNjsyzeUDi37VoTRmYtFVvXCgyrG/xd8zU0lBz4wlJ0w26kFppCm/QAbyYtOYtgT5MdMAbIdy2z1QBr9/SZGWTCStji0A8vEI/+GBqIwLqsmRWe2G7cu03Yc0rTgrva1O8orFDkvQGVOoJ2wPekcUytka4lJRTW2HAuei4WMA9uoG9Ewmjsg1rn9hpRZKwqzQAFTvP3dfIk4lXIh0B2Axk1Rl++6xW4Xn0Os+VK+NnI6pgiJYG9Xuo6vAGWaWhIn7wj/FJa/zxyRRewb/bXR3jZD5evwhVGmq0NDQnDXSmjaVFh8mAUwt8BB9lQUJFmB7ehFFbAn2YxO8MrmDErTqXgDdhJa3xr+PWbW0sx/cftxOIwkstDQEpvIbkMTs0EPWbsOYVJw8vTVhT+SmFoDni3dbcFF66prF7eIUKDTFUSizoBELrVi+HwrvaCCJp7ZXJomBneNeZoryYMAwxcU0hKDxyNIuLvjuMKx8Ywd7RvPQ5TtCyZKrGE0BFXZXtdtXTeKIjbXBNUxZLTBBA7KIMbT4h21mkNXgHuqrjIS2L5dfS8D/bO/coucoy3T+7Lt3Vnb6l7ySdTiBpSIjEQAKJIETDoCIqKouLx+OMOFwV58ACBdSjMxjlEkSYM4o6gYWLowMj4zkDCqJnDBhuSZjhKhI65AJJSHe6093pS/pWtc8fnequ/X77WrWrau/K81uLReq+u/ZX336/93ve5x2ZNMoO4hF1MeQFGSy/M2QMeEstw5uPv0e1SQ2WrIEBb4CQGV5pfG3l+WnmxWuHVZc1wJ8Mr3yPbDO8sqtafXnEtnWslBrkS8toV3T2Z4eCtTSy0Eg2rwgaMsMri9akpCFzlS/1yWF0aEgjLxJycVcMDe/Rhsy0ZaN//3eR3V07N2G5MHdjoTWZ0nHtc/14dyiJbQOT+PoLA56P6dCEzPDaz5tmOt5cbMk0TVMCZpl1tcvwmrk0mDk0pFHkIh4XLmZNJ3LZPlcDXuOxh3Ghbq/h9f/vsSteDgIMeAOE9HxUfHgtPD+9ujRYdVkD8iVpyO6HJSd0K91amlXNMwGuBuCv5qqWYn5gVnQ2ckSvpFiSzTYPeGXQ3B1wpwY5ptSiNesK3UHFgze80468gMixLhcCxH/khXrQY2ZQ13X8H2FH9mnhzmD4PBfWZAdGUziQEYC90jvhuWjHi6QBUK3JpjK0uY0/Jw2snYZXShomUzp2HJIZ3pmAV/rAygSPEzLgzSW7DahODaWR4bV+zO/WwgAzvMQDThOrHDxlFgGvk0uDne/r4ISe86rML0nD8bUxnNo0EzB+oUPV2GVy9dIqXLZ4FlY1l+HHZ842NPXwk3TRWSYHxzV0HU4ZtNGJKLCwxlrDm0ngM7xKpzWZ4TU+P3MMySxRLtuOxaZCXCTkApEZ3vwjAyWvmcHXDk4Y/L3LLOQMaRSpmUnAK7XcOtQMoRNeJA2Aak2WS3Y3zWwbyVgiOiXxSCM/Tgb4h8ZThgLe2jLNkLVWEjweFy6yYC1bh4aZ10upWviLbQup4QVM3HoCdlkLbpXMUYiZD29mlaPqw3sk4PXo0mDVVjhN/3jKsjjMDYpLQ5aSBk3T8OjHmvCb3YfRUhnFWcfYZ2yr4hHc+YG6rD7LK82i6Kx3QlPkDEtmxy2LW2SG1y7rHgSkLlxOpGq2Z+bfsto5jFuDaeTPQi7uqOHNP7Lo0aukQRar2ckZABOtqcnnDZjsjO08lDRoVp2QbibVDhle2V442wY/mdhleOXuhlOzGbmzI9uJ56rh9atgLU2jw4IhHxnRfGPr0pCHAN5rAX2hYcAbIOKRqa3y9MSR0qf0uBVHzpJVhtfrIHMKrg6O5Rrw+pPhBaYm2QsX2md2i8FUo4uZALd3XMNeWbBmIWcAVL3xAYcMr67r2D2UxH8dGMeLPeP4S98k5syK4jsranI6V25xst+y67Kj+PCGWtLglOEt5NEcneTSDELXdfxfD3IGwF174YFx9b6dg/nN8EpJQy4ODWnsZAGVUeNjijOLmCNUdxbj8/3W8OYa8Dq9PoySBqsFeDyiLlj8wM6tJwgw4A0Ys+IaxjMqv0cmU6iITU1sckJJD2aZbXNyabArWgNy1/HKbEe2Gt4gI50aeic07HJoKZyJDHjNFiHjSR0Pdg7j93vG8F8Hxg0awTRDEyn8/MMNXg49K5x9eI3Pn7DV8IZ3PMgsV5/U8DLDm3ec3GzseNVMztBub/7qxj5LShoAbwFvMqUrUgkn6Y8syj3RwgLRC3ZBn5rhNT4ugxunnR1Vw5tjwJuzhtch4A3hvGVVU5CvXbagZ3jDm2opUeS2SeZkrnZaS//fm6RBFkjJiUe2a/RCMqUrBupm3crCjsyq9o5rri3JzF5/4HAKum783r65ZQDXPz+AJ98dNQ12AeDxd0aVYpd8IBdRSmthZWU/829p1l8dwkxJmkrxd/YLWzJZpUz8R2YKvWR4zdwZnOYn1T3HbcDrXsCobv9rjl6/76uP4/plVaiOazitqQxfWVrl+vOsqLfRwcoMp/KbF3+uXIjInR3F/cJr0Zqo4s5Z0uCgAQ6jFMtqAZ4veYZT1r/YlF4kEnLssglWPrxmLU/t2C+2zxeLzIDMWnlBTvw1LibuMCIzvPvHNMVz0k7SUB3XDP7Jh5O64aI3kdLxi+0jJq80MpECNu7z7vnpFTmmFA2vjR2N4sMbakmD9OFlhrfQqEkBd/PVyGQKv9phDHg/c6y9nAFwt/VuJmnY7SHDq86b7n4j/3NFLd7973Pw+080oa0q9wyvraRBNptRNLwyw+sgacixY57aVji/Gd5SCnjzla2Ww8fJIrXQhPfKU6LYZRNkwJvOsqkt/awnDl3XFZeGJcLNoC+HDK8sWKv1QVcWRGSG9j8HIo4thTMxc3rI9PN9/eCEaR/701vKsLLJeL4ef8d4Ec8HaobX+Lg0oTd0WnO48IUJJ1syujTkH0XD6yJQ0nUd1x3xyU1TFgE+ZuPOkMZNe2GzDO+uwUmkdHdBnNpWuDjjyFPRmlKR7yBpEOfNjd2bHaotmb8uDZJS0vDm62/xuttcaEozGgkxajZh5kctB0/ZdKc19xnegXHd4OdbGdMwr8o4UeSS4VUsyUpQzgCoGtz9Y8bbdvpdq/fIXIi80DVueOyj8xJ45/PH4PGPN+HvV9YaHvv9nlFM5rk4wHOGN9OlQVzIwpgpSSP/bvlTY4Y3/2Qjadjw5jAeftu4MLxkUaUruZWbwMxMVjSaBPaPuJtLVQ/e4syb9R40vGqG1/h8mbFVXBp8DnjznuEN4c6UtaSBAS8JAEoXocwMr2tbMuv3l9ndloqI2kM9pwxv6ResAaqtmOR9LgpIlAxvxve+pdsY8J7ZWjbdZW51c5nhe+0b05Xn+41T0VosoiHz+pfSMR2Ey0xPuF0a7MczXRryj6w5cJI0vNA1hps3GzufnVAbw/dOq7V4hRE5J7t1aQDcF64pAW+RdkHsMrwyQI07VOQrLg3i9W6KAe2QPry5anirYprSIj2TMGZ4reajggW8AXNpCO+Vp0SxM1V3W7RmVxkpMw4tFVE14M3BpcGvphNBRzaOkNgVrKWR7YXT/si6rmNzt1GXu7plxoM4FtHwEbEV+8S7o46flwtOrYUBKBeL9AVQbjmHufGE00WPGd78Y5cUkPSMA1/ceNAgN6qOa3hwbb2ScbRClTS4K1oDPAS8iqQhgBleBytCz5IGRZri7rqTTOlY91+HFA1vrgGvpmmWWeKYps5vYUDTjLUiafKm4fUgrywGITyFpY3d5KoUrWVhS6ZkeCsjin9jLrZkUsPrhzdkEKmKabbBj1VL4UyahXF895EJ/N3hJPZlLEwSUWCZCKBlZ6gn3slvwCt3Dcw6+KiFa1P/V4vWwhsUOmd4w/u3hYWyyFQAkmYiZX5hnUjp+Mab5dgvXGm8dmF0V7RmPmfucunU4LWtcL6oiWuwGuJy7KsLXONt6Tzh7NLgHBwdHE3iwj/04s5XBg33t82K+uIrK9sLp6mMa9MNoMKG2SJcekv7hSppyMvHZE1pRiMhxs5U3Srg9ZLhVSUNUSUozSnDq0gaSnOITRWdmf9tFVHNsqVwJtLpId1eeLPQ757cWKZYAK2dmzD4YG4/NInOAaMtmp8okgazDK/FFqcs8gm1pMEhoLXyvST+oWmaq+zg/9w6gJcOGQOY606qwifnOzszZOJGw2sladjlWtLgrelEvtA0zTLLK78H1ZbMa+MJZ6lIJm8OaVjz2AH8UbjSxDTglpU1tq91i1WWONR1BybHLneS/cKuAVEQCO+Vp0RRdE02RWvpQFeu4GwDXhNJgwx4pbeoF44WSQNgreNdMjvmyoqtSWQT0v7IUo+7utloMA9MeRt/sNXYavl3eczySkmDeYbXeDt9AVQyvCV28ciEGd7CIOUIsjDysd2H8ZM3hg33fWhOOb51ivfAyI1frKWk4VCWGt4iJgqsrMnUDK+TLZnw3xYBr5fiw//dOYy/fSVhcNkApgp/H/1YIz57nD/dOK0kDWHU76Yxm5Py5tKg1BMx4CU22BVIWAa8MQ8Br4mkQa7omeF1R5PF5OhGzgBYZ3hfEAHvqhY14AVUWcPjedTxusnwyi3FidSUHtnJjzNMOAW81PAWBjUxYBxjP/7zkOF226wo7lszOytPcDeaYWsNr0tJw0QwJA2A+4BX2pLJ65O60LWXNFjZyz341jCueaYf47rx+auby/D0p5pxulj454JV0V6+JACFwCw5kT8fXga8xAN2E7nUw6QThFJ2ZDfIZAvb1oooqmJG3dbhpK5k9Nyi2pKVbgDQUmme4XVTsAaoLg3dh1MYnEjhz31GacJpTeYB78dES9TN3eM4mAenb13XFVsys8DOrEJ3ZFJH5isTUUy7TYQRp8wIM7yFwU76BQB/Eb+h+9bMttRnOn6WQ2A2Oqkr+tU0B8dSlsFwJoqkIYAZXqfGE1JV4uS/7VbD+0uTBjxXLpmFRz/WiGMs5uBssZI0hHmRXtAMr4xF6NJA7JADMXOrTmbZLH147YrWRtQtITPdVraFa7JorZQlDVYaXjcevIDq9NB9OImt3ePInCOOr41Ztvtsr4phaYb9WUoHfr/H/65rEykYjimqqdlcAJCyw/GkbqLjC/d4cNTw0pasINhJvw6NpwzzUFkEONVEFuQWp8DMKaB1o+MNii0ZYB30Kd7bDrZkg4odoX3Aezipmzbq2C+uWfecXofbV9cpn+8HVu2FwyxpMNfwsmiNBAA5KWTqxeSEkrDQ8NoNMtlWuPXICnl2mT8Br3xdKUsami0mR7uWwplUxSOGC/d4aqqJRCarHC7U57YbC3CeeNf/rmtOTSfSqBfA0tLvAszwBgUpM8h0BJA6z7mzoojkUGGfe8DrfNUPii0ZYB3wym19K81+GlXKZHxBRNOUucQsyyuvKefNd+6Oly3Wf3t4f9emGd682ZJR0kA8ICcVow9vbi4Nhyd1QzVxVJsR6ful41U0vEdZhteppbDTe/xmtwh4LfS7aaSO9z/2jPk+yahthc0nSzNfTrXpRHgvHICzCwM1vIXBruDp3WFjRrW9ytkxxdtnGce0lUNDGjeFa0EqWrOyklSK1kwWuJm40e5LaYoMeJMpXfl+85lEKcWiNXNbMga8JADYadPkCnrah9dl0Vr3YVXOkM58+GVNNnCUa3jdyhnSSB3vnmHjOTJzaMjk5Ma4ofhtaFLHs/v9lTW40e8CqqRhImVWsBbuKcdJ0sAMb2Gwa9AjM7yydbpXnOyznDK8bppPqLZkRZQ0uNTwSpcGGdyodoTOgZfU/Q6Mpww1ADVlWl5rAKw1vOGdt8zm63zZkqm7zQx4iQ1WE7mu6647rVkNMunQkBlsqdZk3gPeZEpXtubc9KoPK2YZ3pNcyhns3iNNQ3nE0c83omn4WJ6bUMgFlJVTgcz4jCWdvTjDBjutBQPFOSFjJ+EdnwPeRBTIPKtjyZm22YAa8Mox4sapQbo0FHPetPLhVQNe4+MTGd/JZMp4vYpo5otFp/bCMvFiVVDnF6WZ4VXvy9ffI8cEA15ii9ppbeoHL5MI8Qims7NyIrEqWpNthVszgi0/2gvLib8mrmVlAxQWzDS8S+u9bZ9aefkCwGnNZa66+ygB77uj0E2KP7JFkTRYaXhNfDmV9qIhvnAAzrZkJby+CxRyJyyzuFdmeHOVNGiaZhuYyS33k8Quj1PRWkrXla5kxWy/3SBL7Y/gJGnIrB1RdnZi5p3KnDyO+4QnfL47d84ui8Dsmw93wGum4c3P96hkeLN3OM0LoZmex8bG8LWvfQ3HHXcc5syZg0suuQR79+61fc2tt96Kuro6w3/HH398gY44O6x8eOVKKXNgxSPGDMSkbsxApJGShswteT/aC0uHhtoS1u8CU3rOWiHZcGtJlkY6NWSy2kG/m2bNnHLDomfPcBKvHfSv65r7ojXj7aNN0pCIIrTtR8OG3AkbMkgajAFmrhleQC3yGZm0zvAuazDOAXuGk4ocLROlBW+suIkCt4VbcoGbmeF1q913KggsdIY3GtFMg+owL9TN6g7y9feoiyBmeLPi5ptvxmOPPYb77rsPjz/+OAYHB3HxxRcjmbTfLuro6MC2bdum/3vuuecKdMTZYeX5KAdO5mSjaZor7YzsKZ8pafAjw6t68IZmeGXNR9tmsqvvq4+7aimciV2G18mhIU1lLIIPzTGarz/pYxMKZbFlJWlQNH0mLg0hlzREI5plFpf63cJh11pYkTTMyj3gVdoLZ4xrWXDWWhHFMZUzgySlq1nnTOTrq4tc92DZeEKxJTM+njlPyM53MpFjdb+cL2TiJd8ZXsBc1lBqGd58BbxB1/DmttdTIAYGBvDggw/iRz/6ET784Q8DAH7605/ipJNOwlNPPYWzzz7b8rWxWAwtLS2FOtScMfPh1XXdNsMLAIkYkJnAHU3qmCWSjdKDN1PS4E+G9+gpWEvzw9PrcFxNDO8eOIhvnNHq2f7IqltbWQRY3uDeO/QjbQk8kRHkvt7nY4ZXaSts/jwzX06pySvmVq1fVMQ0jJtU5lO/WzjkTkF6nB2e1HFgdGYeikLHXB8CXiupGaBKGmrLNCyojuG9kZmOiTsHJ7Gw1vxyqxasFTdRUFOmIaoBMlZxbi0882+33RWVhcSkQ8BbgCRKQyICDBjvswrYw4C5pKEwGV67rq/FIBRn8eWXX8bExATWrl07fV9bWxtOOOEEbN682fa1u3btwpIlS7Bs2TJ86Utfwq5du/J8tLlRFjVmkFL6VKZMeutKmZUc1GYNt9S2wtaSBl8yvCUuaQCmJsKbTq7BtcdOZHVhterWtryhzNECKxOpHd4+4FwZ7hY3bYUB8yIWVcMb/jFhle1hhrdwyEApHWDtEZZkTeW6L1X9ctwO20gaassiWFBt/D3aOTUEqa0wMFUbYpZJVSQNYrxnShqGpaTB4jfjVdIw2yJB4CdmLhWlluGtzNNcJctaxgPWeCIUGd7u7m5Eo1E0NDQY7m9qakJ3d7fl61auXIkf//jH6OjoQE9PD9avX4+PfOQjeOGFF1BfX2/5us7OTt+O3Qmzz0pEKjCemhmQr721HT3jGoCMJgPJCcNro6kEMtcvb769EyMVxsnjnT7jcyZ69qHzyGQ9OGR8/67BUc/fw1vvxQDMZCUjo0Po7Dzo6T3CTDbjZnhUnNcjHF82jM7Oftfvo00AQOX07e0DE9j2VidyvdZPpoBfvFWGzKlifNj8vI4cigOY2VbYs/8A9o5qhvsO9/egs3N/bgdVAOzOZUz81tJExG+S5I/+/giAGTnRgUPD6Ow8iOf7jPcfU677c04mygHMXM07d+9B46GpuXNfv/GxoZ73UDMeQeZc+NI7PeiMvWf61m8eNB5zdML73Os31VoCPRljPK7p2Pn2dsNz+sWcc3giOX3cb/VGAWTIrMZHTP+m8SHjnLH7vW50RmYWB7u6jY9PDvSis7Mrq7/JLfFx42cCQH/3PnTK3skhYbDPeF0uj+jYIc6lX+wT17OhsXHLsZyPMd7R0WH7eFED3nXr1uHOO++0fc5jjz1m+Ziu67ZFIuecc47h9sqVK7F8+XL88pe/xDXXXGP5OqcvzS86OztNP6vmpf04NDmzNGppPxax0RTw0oGZ51SUo6Nj3vTt6te7gNGZiaK1bT46RAFV/3++B2DmR7vi+PmYfyQTUTmcBF6eCUSG9Zjn76Hs8CCAQ9O325vq0NFR6+k9worVuXSibVIHXtyn3P+xE1rQMV8NhO2Y/fK+6armsZSGWXOORVsOFeqDEyl8ceNB/EeP0de3o8X8vDb3DwDvDU3frmtoxHt9EwBmur8tmNOMjo5ZWR9TIXA6lzV/Nv7W0lSL3yTJH/3d48DrM/OhHk+go6Mdz24bBjCzUDymXPdlPm98pxfon5EM1TXPQceCqd/n5LZuADMSoiUL2lA1lMRP3+mbOd5YNTo6jAmbNC+/PQJg5rnH1FWho6M952POhdbOA9h5eEaSURmPKN/j4EQK2DwTxCcx85z/1Ix/U2tdNTo61CRT2yHjnFFR14COjprp26m9B5E5f5wwrwUdCyuRTxYeOgTsHzTc19Heho7WcotXBJt5qWFgx8xvoioezVuMUzOSBF6ciSNSEfM4ItvrZa4UNeC9+uqrcdFFF9k+p62tDVu3bkUymURvby8aGxunH+vp6cHpp5/u+vOqqqqwePFi7NixI+tjLgRmZtxWXdasbkvNbzKlo3vUuEJtcShac1pQSKSkoRAFBmGnIqahJq4p/sVuC9YyWVQTw9YDMxfetw9NZh3wdh9O4qI/9OLlXqMWuDERwZcWmwesZq1GVQ1v+MeElTWZRadpkgcUW7Ijvx/p0NCa8EdDKLfkR2xsyWrLIojVGJ+/y6bbWtAkDYB6PTDb0pedFTOvOW6aTky9r31Tj2JoeM18iMNcbCslDfnS7wLuu74Wi6IGvA0NDYpMwYzly5cjHo9j48aNuPDCCwEAe/fuxbZt27Bq1SrXnzc6OrVVdOaZZ2Z9zIXArNuaVZe1NPIiLK2kekZTyHQqqyvTDFrMipiGRHRG+zuRmvpcL40C1KK18Ac3haC5IopDEzMXxOOqo2iycW+wYqEIeLcfmsSaOd6P5+2BSVzwhx7sEob5C6qj+PVHGhV9Ypq4vACmTFwaQqyFS2NlTUYNb+Gw8sWVDg3HlPuzDW2nNTXT8DaLzZldQ0nLBIJStBaAeVNak5mNebl2ndSnPIUjmmbyu3dndebYeKIAGl4zl4Ywz1sy4M3n3yLnQDs7vmJQ/F+WC2pra/GFL3wB3/72t/HUU0/hlVdewZVXXomlS5fiQx/60PTzTj31VPzsZz+bvv2tb30LzzzzDHbt2oUXX3wRf/M3f4ORkRF87nOfK8Jf4R4zazJZhCazSU4ZXqVgzSSgytWaTLUlC+8kUUikF++qluy2zhbVGiUs2RSuvdQzjo/89oAS7C5viOP35zXhOBvbNTkGJ5K60io07J3WAOsCFro0FA7p9pEujpT2X8f4lOGVWbHMoiwZsNaWaagvjxiOcWRSR9dh8/lU2pIVs61wGnktMNvV0DRNCXrTRUqKt7CVS4ONvzFQnAyvuS1ZKEIlUxJiys5nAZ4sph9NwtcmSLkSiqI1APj+97+PaDSKSy+9FAQEMusAACAASURBVKOjozjrrLPwk5/8BNFoRiFBZyd6e3unb+/btw+XXXbZtBRi5cqV+MMf/oD29uLqo5xQsxcpSL28tISRF1tpJSUnWzN3gLryCPZldGPrG0uhvcr1YSuNJ44GlwY/kO4Oq7OQMwDAwhrj+7xts41qxkRKx+f+Xy96xUXm7Lnl+PmH6x2bRigXPzOXhpKQNJj/DczwFg6ltfBkWtIgM7w+BbwWLg1jSd2wmxbTpgIKTZuyJstsALNrcBKtJvOulDMFIsPrQtIATMkaMt0ZxlM6EtBUlwa3jSccfHgLkeE18yEOs0uDlJHlc+c1cmQRlHn6J1KqZ3OxCE3Am0gksH79eqxfv97yOf39xqr2+++/P9+HlRfUPvEmnp8x+4BXZnj323jwppE/dK9evEdj4wk/uPC4SvzbjsPQMXUOzl/grVgtjWx64TXD2zkwqTQnuWRhBf7XB2crcgUzzHw5pQF9qfjwmsGAt3CURaaCy/TwmkhNZXn3iXmuxaeA10rDK7OztWWRadnCsdVRQ8C7czCJ1SaW8EqGNwDzprT/slrkxaMAMqaZdPArJQ1W2n2z5E7me2UuBjToBcl+m0oaQjxvndpUhjmVM8msTx+b3fXFLXIRNJrUFQu7YhGagPdowsyMW8YbMrhQtxKME063iwxvrs0nFA0vM7yu+Oi8BJ74eCNePziBT8yvyPp7k3KD3UNTLU3dTjay9fQpjXHce+Zs14WLZvotanhJPtA0DbPimqFgrHNgEpmjrbUiAr+mICsNr9TvZhacHevSizeIkoa54vpg5k0LpAvXZr71tF+82w6LVplzQE2g1MRQkJbLjYmoYTFVE9dcLfiDSllUw1Ofasa/vj2ChTUxnNue54A3qhkSHeOp4EgaGJEEELNua3LQyIyuvAhLze9+Ecw0u8jwetbwHoWd1vxidUs5LltSZbrl6ZaqeARzMlqaJnVg95D7LO/+EeP5W1Ad8+TSYSZpUKu1wz/l0KUhGFSJYOkN0V1wXpV/J0RqeNNSHTOHhjTHigWolVNDECUNHzymHB1HOsPFNOC/dZhbgcVNuisCUKRM2Wh4ZcKlJlaYwCkR03BhhvXZJYvya4NWCJororjmfdV5D3YBk+TbZHACXmZ4A4icHEYmUpBrEzmonOxA1LbCbjK87gdqMqWbFG8Uf+I+2lhYE8O+jJam2wcm0SGK2ayQGd4Wk0WRHTKTPDyhGzoERrTSCAopaQgGcp78S58xoJyXgwe1xKoFrplDQ5oF1cbBbpXhtcsSF4t4RMNTn2zCf+wdw8KaGJbWm88h0posXZUvpUxWC107DW+xAl4A+Kcz6vDx9gRiGvCxeQnnF5BplJ2+APXrYMAbQMy2eaIRb7ZkSsDrQtKgZnjd9wVUJu24VpDtJ2JkUW0Mm/ZnBLweCtfkLoCZk4cdUmbTN65mebxkjIMKXRqCgcwOvtkvMrxZtPq2wsovVg14Z45J2vdJ55M0QU0UzIpH8CmHegLFe/vI1yElDVatha3s5QB1h9Hlut0XohENn/TY+IdMEWQv3mD8sogBxYd3QleK0JwaT6gBr3P2TmpHD466X5pJh4Za6neLgixce9tD4ZrUeZvJXuyQlbh9YvxYXfTCBjW8wUAGS2/2G8d6e7V/Aa+ZNzpgL2lomzWlBU1zYDQ11Z1MoDSeCICG1y1yV2c6w5ulpCFTAlXMDC/JniB78TIqCSBmq16ngFdxachYKeu6ji6hz3Tjw9s37n6g0qEhGCyqFU4NXjK8UvbiUU8sM7wyQ1MK+l3ATsMbnkClFJBuNnuGjeN33qz8SxrMXBrSxCIa2oWOWGZ5U7qOQTHPVodo7lSdWab+FtlAwrWkwS7Dy4A3FEiZCzO8xBYzqxavAW+mN+ShCaNXZCJq3HpLowS8njK8LFgLAotkhtdDwKtmeD0GvFH7gDfM1j6ZUMMbDJyamPhatGbSDAiwlzQAauHaTvF7HJrQDc4SlbFwOQLExVfs1aWhIqoh85GxJDB5JGjuFzUktfHgBE7EGllf5EEZmXcY8AYQmbkYEcU/gFr8Y+fDKwvWWiqiplpKpWjNg9pcyfBS0lAU5lfHkDkU3htJKduLVkgNb2ulR0mDhZ4vTalLGpjhLSxOFnf5DHhHJs1dGqTDgtTx7haFa0G0JPOCzOZNpHQkU7rSMc3qXGmaZtleWM3w5nq0pBA4dX0tJoxKAoiZLZncFlA6rcWsM7xyq+8Yi61qpWgtBw0vJQ3FIR7RlOpwN1new5NGl42YZt5xyA45JiWl0GUNsOk6VQIOFGHCTiJTXx7xVUJjVVxl59IAmDk1GOdi2YI3CJZkXjCzJVPkDDENEZtiVStrMmp4w4kS8NKHl9ght+qGJ5x9eGXGN3NVJXVj8y2KOcwyvCmXfbDZdCI4KLIGF4VrsqixuSJie5Eyw6nBRSl0WQOo4Q0KdhIZP7O7U5/l3aUBUJtP7HDK8IZMCian+fGkezlDGitrMtWlITiBE7GGGV7iCbMCCWneLIML1aVh5t9yG01us2W+Z+a2c0pXLXOsYNFacFiYReGa9OD1qt8FVEmDpBS6rAF0aQgKdhIZWSyWK2URGKRCE6mp6nM7lwZAdU3ZIX6LsumEVQveoKK4NKR01w4NaVRJw9Tr1QxvtkdJCgkDXuIJswnAc6e1jAB5l+i2Nd/mYiAzszJza4Wa4eXFv1gsqjEaVroJeN34NDvhVGxDlwbiJ4XM8GqaZpqIcJY0GKO0PcNJQwAQ9gyvlDGNJU0kDQ6/eysHDFlDwgxvOJBZfxatEVvkBDE8oSutgqWEwW5VJSUNVhleIHsdr8zwzmaGt2hk48WrFjZ6P39OGU66NBA/mRWzHqN+WpKlMSuuUm3J1IZAbRkNMFK6ccdN7qDVhGxRKKf5iZSqS3ba2TFrtASoLkG0JQsHzPAST5hNrHLQyK0ku05rbiUNgKrjlToqK5SiNWp4i4aZF6/uoMWWGd58SBqctjbDAjutBQO78eS3pAEwd2pQJA0m896xNkWkStOJkCUK5HVoLKlKGpy0+2aNlsaTuqE9cUQDfGycR/IIA17iibKohsyFflJXt77kxdWq01r/WMoQjJZH7e2mFC9etwEvNbyB4ZjKiOHiPDCuo9fhPMqitdYsMryyYltSZZORCxPWGd4CH8hRjl3A67ekAVAL1w6NG7fvI5q5rljZcckMeEtM0jCR0qc9itNkI2mQ153ZZRGEyJ74qIYuDcQzchKQmVbFlswi4N0t9LvtVTHb6vv6RLYZXro0BIWIpuE4cZHd7iBr8CPDKz05JaWS4aUPbzCwkzS0V/kvaZBz8j4hA6qJa6b+5vK3mGlNFnpJg5gmxlM+uDRM6op+V+48kuDCDC/xjJzMZeCp2pKZF60plmQOmQ+pvXWd4WWntUAhrcmcCtekhtdr0wkAcLpWl4qGNxbRTP9WangLi9V4qolrpp0kc0UGZvuEv7ksWEsjA97MDO+AImkI1xgyK1rL2aVhIqXUjnj1BCfFg53WiGfkZC6bZclBJYvYpjO8HvS7ADA7iwxvMqUrmQqryZ8UBq9evH7YkmmaeSCYplRcGgBzWQMzvIXFqhiqrcq8k2SuyMDsvZHsAt4dh2yK1kI2b0oN70RKx6BXlwZZpG0maaDrT2iw6/pabML16zqKsCqMSSOzSbLTWnpVtXvIXdOJNLNFhkFqc82QXpI1cQ1RCq6Kihcv3pSuo1vakmUR8AL2soZSaS0MAJUmwS0zvIXFKnM4Lw9yBkBNQkhJg1VWWTafyLQmU1sLh+uSLOPzsaSq4a12+N2baXhlooWShvBASQPxjNP2rxxUMtA4nNSh6zp2DUoPXvuLQTYaXhkUm1Uqk8LiJcN7cCyFzKRMTZlmWZjlRNwmTi4VDS/ADG8QsMoctuepnF/KzN5zKWmoiGmYW2luTSaTBfmQYuQTtWgNiqTBqaW4mYZXsbnkNSU0MOAlnnHKhslBFTXRFY6ngN2KB683Da+rgFfR73JYFRtpTfb24KRlm+j9I8bz15pldhdQL4CZOF34woRZwEuXhsJSFgHMpsl8WJIBZpIG9wv942rMrclUl4Zw/UbMghtZtOZVwzs0kVKK1qjhDQ8y+UaXBuKINOOWmM2Lsnp8ZFLHO7LLmoOGV2Z43RStqZZk4cpSlCKzyyOGi8RYcmor1QxVv5v9tCA1fZmUVIZXsQVEXnSjxBpN00x3wvIlaaiMy4BXdWmwQmkxfCQREXZbMjXJYvTPBZx/96aShlFmeMOKXPjLplnFhKMooNhJGhIWF1e52t55aBKZ8+nscs2xmCybxhMyKKYlWTBwK2tQ2grnlOG1fsyp41KYkBle6neLg5m3cz48eAF1/MoWunZzq1nhmq7rSleysGl45bgfT5pIGhySN3Lnh7Zk4UYdE8zwEgfsggOrLJosXNs24M2hAVDlCAPjOpIOWxJKl7WQbcuVKm4L15S2wllYkqWxkjRURDXESqiQUW7DUr9bHMwSA/mSNDgt2LwEvG8fmsTwpI7MWCARtd8hCSJx8ZseT6mSBqdOa2adRWlLFl6smmAFAY6igGKf4XVnfL+tf8Jw26lgDZjyGJXbalKjK2HTiWCiZHitAl4hacgpw2sxNkvFgzcNM7zBQG6XV0Q1NCbyM/84OefYFZyZZXjDbkkGqI0nzDuteZc09Invhhne8MAML/GM3TaQVRZNDrQ3+2WG110gI1fTPaMOAS/bCgcSpXCtiJKGUtLvAqqGlxne4iCDpXx58ALORZd2GV4za7IDo1IDHL55UylQMpM0OLk0iLlheEJHHzW8oSXIGd78qPtJzthlE6wurjJOeVNkeN1IGoCpgDezQ9uq/9ON2eUamhNRNFdE0FEbx/84qWq6AE7N8PLiHwRkoYylpEHJ8GZ/cZFbnGlKSb8LMMMbFGQwlS85A+Aiw2sTlKWtyfYekQ+ldOC1g8b5OWwFawAQl9k8E0mD9wxvSpHJzS6PoCuH4ySFQ/4M2GmNOGK3BWxlfyQvutKSzKmtcBqz1XTfmI5tA5PYtH8c928bxscf75nWfjLDG0ykFdLuoaTp9lKXsFdqqcw+aLAK/KpDmL2yQwl4S+vPCw0ymJqXJw9ewI2kwX4QyN/jKz0y4A3fIFIzvLpSzOdksSkD3r4xHSMZ7xHTnHXAJDgoVnW0JSNO2E0SVkGF3GaVw8xthvfUpjLH5+wdSeILfzyIsaSuFq3x6h8IKmMRtM0yGt7LRiSAakuWS4bX6ppdahreyqjxD2WGtzjIYClflmRmnyWxsyUDVB3vy73jnl4fROQ6tn8sZbjuVESdu25KC87DSTW7S8u/8MDGE8QzUteUidXF1e6iG9Gm9G1uuG5ZNa5ZWoX31cfRXBGB1Xy15cA4rnuunxneACNlDW8JHe/IZMrQ7SkeyU0vZyVpKDkNL10aAsFpzcbF+Zo55Xn7LKdFm1OGV/4WVUlD+OZNec2RNpZufvflUVheYwA6NIQNORcGKeClhjeg2BWtWQW20pYsk7mzopbBiNn7rzutdvp2MqWjdyyFrsMpfGfrAP64b2z6sV9uH4F8VxYYBIfj62J4+r2Z8/X6wQl8Yn7F9O1uUbDWnIgikkM2xWpsOnlxhg1qeIPBRQsrsWswiee7xvDZYyux0sXuVLbYNQPS4KzBPVYEvNKQP4waXllALXf73AS8mqZhVkxTPInT8HoSLqRzBwNe4ojd9pllwGtz0V2QQzFHNKKhuSKK5ooo7v9QPf7qNwcMBVByOLPTWnBYVh833H6l15hV2i88eJtz8OAF1C3ONCWX4aVLQyCIRzR885SagnyW3ZxcXaY5LhRlhld5jxDq3OMOlxW37cQZ8JYOZs4duq4HQpbCkRRQnDqtmd9v/RqnlsJuqSuP4F/+qt42G+G0tUcKx/sbjAHvqyLg9dOSDLBejJVawCvbLzfmoHsm4cCuaM3NnOdkCxlKSYPDrqHbYjO775YBb7iIRjRknk4dwIRzw9aCwJEUUGwzvBaTjG2G16eAFwA6auO4b029qe6qJu5cpEAKx+K6uCHrunckiZ6MvVQ/C9YAa4/oqhBmr+xYOzeBE474HNeUafj8osoiHxHJN2VRzXIHw03AWxmLYK6NA0oYi9acOsM5OTSkqbSZHxjwhg9FxxsQpwaOpIBitxWUlaTBZdMJt5zTlsA/rFS3Eu28KEnhKYtqOHG2dZbXT0sywHqLsxR9eJ/6VDN+e24jNn+mBcsb86cdJcHBKhNp12UtE2lNlkkYM7xOh+xF0mAFi9bCh1wIBUXHy5EUULLR8Fr58wLu2gp75ZqlVbhkYYXhvrY8+mCS7JCyhkwdr59NJwDr3YdSkzQAU0HvGa3lOCbHRQIJD1bzstsuadKaLBO3QXOQcMzwUtJwVCJll0FpPsGRFFDKokYdTCbZuDT4neEFpqpr7z59Ns6eO2UFFNOAq06s8v1zSG54C3hzzfAeHZIGcnRi5dTgNli1K1wLY2vhmAbFpScTtwEvM7ylRVAzvHRpCDCz4hoGxtWB4rVorTKmoTGRn0kjEdPwyDkN+M+eCTQmIr5qhYk/LKs3bre/kmF473fRmrWGN3zZK0IkVsXEbgt1pTVZJmG0JdM0DWVR6wye24Wune/8bLaqDx1B9eLl0inAVFlkE6y2kawC3gVV0bxagmiahpVNZQx2A8rS+pihwHDnYBID41OBbpewJWvJ0ZbMKhlTahpecnRiqeF1mYW0zfCGUMML2Ds1uC1as5sfKGkIHzLxwYCXOGK16rUKbK3u98uSjISTylhk2lEgzWsHJ5BM6TgwqjaeyAVKGkgpYxWYuc3w2knLwihpAKy7KwJeNLx0aSglmOElnrGaXK22ja20vfPzoN8l4WKZiY63dyyFzHmotkyz1YG7gZIGUsrk6tJgZU1WFrGvwQgysrNWJm4Xuna+89Twhg85JmRXwWLBkRRgrCZXq0yubHeahlIDsqxB1fFK/W5rjvpdwPrix4CXlALWAa/7S+mxJtZkYZUzANaLXMA+kDU8zzK5Y+/gQIKJjFHG6cNLnLAKEqzsxywzvDm0FSalgVnHNanfld3DssHq4jfLZsuSkLBglbH0Ikcw0/GGselEGjtrslw7rdWXRwLRkpZ4Q46JUUoaiBNWQYJVYFthVbTGDO9Rz0n1xoD3rYFJ7BqcNNzX6oOfrFnAG9WsnUUICRO5ShoAcy/ecGd4rR9z7dJg8b1SvxtOlAwvA17ihFXRmtfGE9TwktqyCI7LGAcpHfjjvjHDc5rzJGmYFdeYpSElgVVgVuchMCu5gNcmw+vWncUquePleyXBQQ5nZniJI1aThZfWws0VEdsKWHL0IHW8T4uAtzVPkoZqjj9SIuTq0gCUnqTB1pbMrYbX4nksWAsnaoa3SAci4GgKMJ4DXpPnL8hDS2ESTqSOd3jSuOpu9kHSYGZR5LZwhZCgM8tii96tVhUwtyYLc4bXTrVQTUnDUQk1vMQzVpOrl05r+WgpTMKJDHglfmR4zWQ1dGggpYJZYFYd1xCzyXKq76Fak4Wxy1oaqwQMkLtLAzO84SSoLg1M/wUYrz68ZgFvOwvWyBGkF6/EFw2vWYaXtkKkRDALeL3IGdIcWxPF3gyXlHBneK1rSuyaUmTCDG9p0ZSI4NjqKMqjGsqjWmAWLoyGAozV6tjKoJwZXmJHYyKKuZXGC20mLT5keM06rbHLGikVzObkbPS3C2tieGb/+PTtuhAHvJbe2x60+1a7mUEJlIg3vnpSNb56UnWxD0MhNKPpgQcewCc+8Qm0t7ejrq4Ou3fvdvW6f//3f8eqVavQ3NyMVatW4bHHHsvzkfqHpYbXYtUcjwDykfnU8JIMrLK88Yg/2RSzt6CkgZQKphneLH43nzm2YvrfUQ04p608p+MqJlbXIy/afatrHV0aiJ+EZjSNjIxg7dq1uOmmm1y/ZsuWLfjSl76ECy+8EJs2bcKFF16IL37xi3jxxRfzeKT+YTVhWGmmNE1Tuq0xw0sysdLxtlREfbEOM7MoYsBLSgWzwCwbOcKH5iTwq3MacN1JVXji443oqLWXGwUZs10dwNvv3q7xBCF+EZr035e//GUAwEsvveT6Nffeey/OPPNM3HDDDQCAE044AZs2bcK9996L++67Ly/H6SdWdmJ2Jv4rGuPYdGSrbGFNFHNnMeAlM1gHvP5cWExdGmhLRkoEs7HspelEJue0JXBOWyLXQyo6Vhletw4NwNRCOaYBwjiGGl7iKyU9mrZu3Yq1a9ca7jv77LOxefPmIh2RN6qsitZsqmL/1wdn47z2BP5qbjnuW1OPCA3/SQbSizeNHwVrAF0aSGlj1gwom6K1UsIqrvVarGr23TLDS/wkNBnebOjq6kJTU5PhvqamJnR3d9u+rrOzM5+H5fqzDoxoACqU+9/d+Tbs5pK/bz/yj74+dPbldnzEPYUcN9mi68DseAX6JowDqGJiEJ2dB3N+/6FJAKg03He4vxednV05v3chCcO5JO7w81yaje/kUD86Ow/49hlhY+RQHIDJztHYMDo9XIASSOCQyMH1vrsDwxmLaP4uS4d8nMuOjg7bx4sa8K5btw533nmn7XMee+wxnHnmmVl/htQl6rruqFV0+tL8orOz0/azEkOTwH8ZA4WIBiw5vjDHR9zjdC6DxCm7evAfe41d1jpa69HRUZPzex+e1IEX9hnuO3ZOMzo6ZuX83oUiTOeS2OP3uZxMmYzv1gZ0dASvIr1QtBw6BOwdVO5vnV2Djo7Zrt+n5tUudI9PTt9ORIGTFs+cO/4uS4dincuiBrxXX301LrroItvntLW1Zf3+LS0tSja3p6dHyfoGFTM7JzPrMUK88P6GuBLwtvokaTDb3aUPLykVYhEN5VFgLMPZ72iXNFjaknmUMsnCNcoZiN8UNeBtaGhAQ0ND3t7/1FNPxcaNG/F3f/d30/dt3LgRq1atyttn+olZ5aqZRpIQLyyrV3W8zT4VrUUjGqIakNlJkhpeUkpUxjSMZQzwoz7gtSha8/q7l65EtCQjfhOaEdXV1YVXX30V27dvBwBs27YNr776Kvr6ZjRCn/rUp/AP//AP07evuuoq/OlPf8Jdd92Ft956C3fddRc2bdqEq6++uuDHnw1lEShaXauKWELcYubU0FLp30pKXgCtTOUJCSPSqSFbl4ZSwdqWzNvvnhlekm9CM6Luv/9+nHXWWbj88ssBABdddBHOOussPP7449PP2blzJ/bv3z99e9WqVbj//vvxL//yLzjjjDPw0EMP4f7778fKlSsLfvzZoGmaUrlq17ecEDcsqI6iRlykj/Ez4BVvVc0MLykhpESn5ihf0FnFpVYuQ1bI75WWZMRvQuPScPPNN+Pmm2+2fc5rr72m3Hf++efj/PPPz9dh5Z2qmIZD4zPbZwx4Sa5omob/3lGJH/95GADwgZYyX/2apzK8M2OWGl5SSpzaXIZtA1PFVTVlGpbMDm/TCD+wssn00mkNYIaX5J/QBLxHK1Pbwanp2wx4iR98d2Ut3t9QhkPjKXxuUaXzCzzQXBHBgdGpMRvV/PP4JSQIfGdFDcZTOvaPpHD9smqlu+XRhrWG11vAKqVPzPASv2HAG3DkqteuyxohbolGNFy80N9AN81Xllbhq8/2I6kDXzphFotPSEnRVBHFz86qL/ZhBAarmj2vUqamhPGN/JRZEQIw4A08cjvYrssaIUHgv3XMwumt5Rie0LG0/uje7iWk1LGUNHjMfF9wXAV+/MYQDo3raExEcP4CtekSIbnAgDfgyEmDPrwkDCyo5tRCyNGAX5KGjto4nv90C17tHcepzWVo5HYm8RlelQKO1DVZTS6EEEJIofGr8QQAzJ0VxdxZzOyS/EBxXcCRla7M8BJCCAkKfjWeICTfMOANOLJojZ3WCCGEBAUrDa9XSQMh+YYjMuBI827akhFCCAkKZi4N8QivVSR4MOANOGqGl5MIIYSQYGCW4WWzGRJEGPAGHFntPq+KmgZCCCHBoNxEw0s5AwkiHJUB5+PtCZzeUgYAOKk+nrdmAYQQQohXzGJbr00nCCkEtCULOLPiEfzm3Eb0j6VQUxZBjLZkhBBCAoKZzE66CxESBBjwhoCIpqGeJtyEEEICRpySBhISOCoJIYQQkhVmjSekuxAhQYABLyGEEEKywrxojQEvCR4MeAkhhBCSFdGIBhnzUtJAgghHJSGEEEKyRmZ5meElQYQBLyGEEEKyJi50vMzwkiDCUUkIIYSQrJEZXnZaI0GEAS8hhBBCsqaMkgYSAhjwEkIIISRrpDVZNSUNJIBwVBJCCCEka2SGl53WSBBhwEsIIYSQrIlHKWkgwYcBLyGEEEKy5vja2PS/oxqwqCZm82xCigMDXkIIIYRkzdeXV2NJXQw1cQ23nFqLpgqTfsOEFBkuwwghhBCSNYvr4nj+My3FPgxCbGGGlxBCCCGElDQMeAkhhBBCSEnDgJcQQgghhJQ0DHgJIYQQQkhJw4CXEEIIIYSUNAx4CSGEEEJIScOAlxBCCCGElDQMeAkhhBBCSEnDgJcQQgghhJQ0Wn9/v17sgyCEEEIIISRfMMNLCCGEEEJKGga8hBBCCCGkpGHASwghhBBCShoGvIQQQgghpKRhwEsIIYQQQkoaBrxFYsOGDVi2bBlaWlqwZs0aPPfcc8U+JGLDXXfdhQ9/+MOYN28eFi5ciIsvvhhvvPGG4Tm6ruPWW2/F4sWL0draivPOOw9/+ctfinTExC0/+MEPUFdXh6997WvT9/Fchof9+/fjqquuwsKFC9HS0oJVq1bhmWeemX6c5zIcJJNJrFu3bvq6uGzZMqxbtw6Tk5PTz+G5DC7PPvssLrnkEixZsgR1dXX4xS9+YXjczbnr7+/HFVdcgfb2drS3t+OKK65Af3+/b8fIgLcI/PrXv8ZNN92E66+/Hn/6059w2mmn4cILL8S7775b7EMjFjzzzDP427/9Wzz5M+zEjgAACHlJREFU5JN49NFHEYvF8OlPfxp9fX3Tz7nnnnvwox/9CLfffjv++Mc/oqmpCZ/5zGcwODhYxCMndmzduhU///nPsXTpUsP9PJfhoL+/Hx/96Eeh6zr+9V//FZs3b8Ydd9yBpqam6efwXIaDu+++Gxs2bMDtt9+OLVu24LbbbsM///M/46677pp+Ds9lcBkeHsaJJ56I2267DRUVFcrjbs7dZZddhldffRW/+tWv8Mgjj+DVV1/FlVde6dsx0oe3CJx99tlYunQp/vEf/3H6vlNOOQXnn38+vvOd7xTxyIhbhoaG0N7ejl/84hc499xzoes6Fi9ejMsvvxw33HADAODw4cPo6OjAd7/7XVx66aVFPmIiGRgYwJo1a3DPPffgjjvuwIknnoj169fzXIaIW265Bc8++yyefPJJ08d5LsPDxRdfjNmzZ+MnP/nJ9H1XXXUV+vr68PDDD/Nchoi5c+fijjvuwOc//3kA7n6H27Ztw6pVq/C73/0Oq1evBgA8//zzOPfcc7F161Z0dHTkfFzM8BaY8fFxvPzyy1i7dq3h/rVr12Lz5s1FOirilaGhIaRSKdTV1QEAdu/eja6uLsN5raiowOmnn87zGlCuvfZanH/++VizZo3hfp7L8PDb3/4WK1aswKWXXopFixbhgx/8IH72s59B16fyODyX4WH16tV45pln8NZbbwEA3nzzTWzatAnnnHMOAJ7LMOPm3G3ZsgVVVVVYtWrV9HNWr16NWbNm+XZ+Y768C3FNb28vksmkYcsNAJqamtDd3V2koyJeuemmm3DSSSfhtNNOAwB0dXUBgOl5fe+99wp+fMSen//859ixYwd++tOfKo/xXIaHXbt24b777sOXv/xlXHvttXjttddw4403AgCuuOIKnssQce2112JoaAirVq1CNBrF5OQkbrjhBlx22WUA+LsMM27OXXd3NxoaGqBp2vTjmqahsbHRt9iIAW+RyDypwFTKX95Hgsk3vvENvPDCC/jd736HaDRqeIznNfh0dnbilltuwRNPPIGysjLL5/FcBp9UKoWTTz55Wgr2/ve/Hzt27MCGDRtwxRVXTD+P5zL4/PrXv8ZDDz2EDRs2YPHixXjttddw0003ob29HX/91389/Tyey/DidO7MzqOf55eShgLT0NCAaDSqrFh6enqU1Q8JHjfffDP+7d/+DY8++igWLFgwfX9LSwsA8LyGgC1btqC3txcf+MAH0NDQgIaGBjz77LPYsGEDGhoaUF9fD4DnMgy0tLTghBNOMNx3/PHHY8+ePdOPAzyXYeDb3/42rrnmGlxwwQVYunQpLrnkEnzlK1/BD3/4QwA8l2HGzblrbm5GT0/PtBwJmAp2e3t7fTu/DHgLTFlZGZYvX46NGzca7t+4caNBu0KCx4033ohHHnkEjz76KI4//njDY/Pnz0dLS4vhvI6OjuL555/neQ0Y5513Hp577jls2rRp+r+TTz4ZF1xwATZt2oRFixbxXIaE1atXY/v27Yb7tm/fjnnz5gHg7zJMjIyMKDtm0WgUqVQKAM9lmHFz7k477TQMDQ1hy5Yt08/ZsmULhoeHfTu/0ZtuuunvfXkn4prq6mrceuutaG1tRSKRwPr16/Hcc8/hn/7pn1BbW1vswyMm3HDDDXjooYfwwAMPoK2tDcPDwxgeHgYwtYjRNA3JZBI//OEPsWjRIiSTSXzzm99EV1cX7r77bpSXlxf5LyBpEokEmpqaDP/96le/Qnt7Oz7/+c/zXIaItrY23H777YhEImhtbcXTTz+NdevW4brrrsOKFSt4LkPEtm3b8PDDD2PRokWIx+PYtGkTvvvd7+Kzn/0szj77bJ7LgDM0NIQ333wTXV1dePDBB3HiiSeipqYG4+PjqK2tdTx3jY2NePHFF/HII49g2bJl2Lt3L6677jqccsopvlmT0ZasSGzYsAH33HMPurq6sGTJEnz/+9/HGWecUezDIhak3RgkN954I26++WYAU9svt912Gx544AH09/djxYoVuPPOO3HiiScW8lBJFpx33nnTtmQAz2WYePLJJ3HLLbdg+/btaGtrw+WXX44rr7xyWvfHcxkOBgcH8b3vfQ+/+c1v0NPTg5aWFlxwwQX4+te/jkQiAYDnMshs2rQJn/zkJ5X7P/e5z+Hee+91de76+vpw44034oknngAAnHvuubjjjjssr79eYcBLCCGEEEJKGmp4CSGEEEJIScOAlxBCCCGElDQMeAkhhBBCSEnDgJcQQgghhJQ0DHgJIYQQQkhJw4CXEEIIIYSUNAx4CSGEEEJIScOAlxBCjgLWr1+Pp59+utiHQQghRYEBLyGElDi7du3C9773PezZs6fYh0IIIUWBAS8hhJQ4L730EgBg+fLlRT4SQggpDmwtTAghJcw555yDrVu3Gu6LRqPYu3cvEolEkY6KEEIKS6zYB0AIISR/fPWrX8Wdd96J/v5+fPOb3wQAJBIJBruEkKMKZngJIaTEWbFiBZYvX4777ruv2IdCCCFFgRpeQggpYUZGRrBz504sXbq02IdCCCFFgwEvIYSUMG+88QZSqRQDXkLIUQ0DXkIIKWFef/11AMD73ve+Ih8JIYQUDwa8hBBSwvz5z39GXV0d5s6dW+xDIYSQosGAlxBCSph33nkHc+bMKfZhEEJIUWHASwghJcz8+fPx1ltv4Qc/+AEefvhhvPjii8U+JEIIKTj04SWEkBLm+uuvx86dO3H33XdjcHAQ3/rWt7By5cpiHxYhhBQU+vASQgghhJCShpIGQgghhBBS0jDgJYQQQgghJQ0DXkIIIYQQUtIw4CWEEEIIISUNA15CCCGEEFLSMOAlhBBCCCElDQNeQgghhBBS0jDgJYQQQgghJQ0DXkIIIYQQUtIw4CWEEEIIISXN/weJz89ZGk8A9gAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(2)\n", "\n", "# Set coefficients\n", "ar_coefs = [1, -0.3, -0.2]\n", "ma_coefs = [1]\n", "\n", "# Generate data\n", "y = arma_generate_sample(ar_coefs, ma_coefs, nsample=100, scale=0.5)\n", "\n", "plt.plot(y);\n", "plt.ylabel(r'$y_t$');\n", "plt.xlabel(r'$t$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### ARMA model with $y_t = -0.2 y_{t-1} + 0.3 \\epsilon_{t-1} + 0.4 \\epsilon_{t-2} + \\epsilon_t$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(3)\n", "\n", "# Set coefficients\n", "ar_coefs = [1, 0.2]\n", "ma_coefs = [1, 0.3, 0.4]\n", "\n", "# Generate data\n", "y = arma_generate_sample(ar_coefs, ma_coefs, nsample=100, scale=0.5)\n", "\n", "plt.plot(y);\n", "plt.ylabel(r'$y_t$');\n", "plt.xlabel(r'$t$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitting Prelude\n", "Great, you understand model order! Understanding the order is important when it comes to fitting models. You will always need to select the order of model you fit to your data, no matter what that data is.\n", "\n", "In this exercise you will do some basic fitting. Fitting models is the next key step towards making predictions. We'll go into this more in the next chapter but let's get a head start.\n", "\n", "Some example ARMA(1,1) data have been created and are available in your environment as y. This data could represent the amount of traffic congestion. You could use forecasts of this to suggest the efficient routes for drivers." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from statsmodels.tsa.arima_model import ARMA\n", "\n", "# Instantiate the model\n", "model = ARMA(y, order=(1, 1))\n", "\n", "# Fit the model\n", "results = model.fit()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }