{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chapter 3 - Linear Regression\n",
"\n",
"LAB\n",
"\n",
"Basics\n",
"\n",
"1. Simple Linrar Regression\n",
"\n",
"2. Multiple Linrar Regression\n",
"\n",
"3. Some Important Issues\n",
"\n",
"4. Qualitative Estimator and Extend to Non-linear\n",
"\n",
"5. LR vs KNN"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lab\n",
"\n",
"## Simple Linear Regression"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import scipy as sp\n",
"import statsmodels.api as sm\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.preprocessing import scale\n",
"%matplotlib inline\n",
"\n",
"import seaborn as sns\n",
"sns.set_context('notebook')\n",
"sns.set_style('white')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are 14 predictors in the data set, the data set contains median house value for 506 neighborhoods around Boston city."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
\n",
" \n",
" \n",
" | \n",
" crim | \n",
" zn | \n",
" indus | \n",
" chas | \n",
" nox | \n",
" rm | \n",
" age | \n",
" dis | \n",
" rad | \n",
" tax | \n",
" ptratio | \n",
" black | \n",
" lstat | \n",
" medv | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 0.00632 | \n",
" 18 | \n",
" 2.31 | \n",
" 0 | \n",
" 0.538 | \n",
" 6.575 | \n",
" 65.2 | \n",
" 4.0900 | \n",
" 1 | \n",
" 296 | \n",
" 15.3 | \n",
" 396.90 | \n",
" 4.98 | \n",
" 24.0 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.02731 | \n",
" 0 | \n",
" 7.07 | \n",
" 0 | \n",
" 0.469 | \n",
" 6.421 | \n",
" 78.9 | \n",
" 4.9671 | \n",
" 2 | \n",
" 242 | \n",
" 17.8 | \n",
" 396.90 | \n",
" 9.14 | \n",
" 21.6 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.02729 | \n",
" 0 | \n",
" 7.07 | \n",
" 0 | \n",
" 0.469 | \n",
" 7.185 | \n",
" 61.1 | \n",
" 4.9671 | \n",
" 2 | \n",
" 242 | \n",
" 17.8 | \n",
" 392.83 | \n",
" 4.03 | \n",
" 34.7 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.03237 | \n",
" 0 | \n",
" 2.18 | \n",
" 0 | \n",
" 0.458 | \n",
" 6.998 | \n",
" 45.8 | \n",
" 6.0622 | \n",
" 3 | \n",
" 222 | \n",
" 18.7 | \n",
" 394.63 | \n",
" 2.94 | \n",
" 33.4 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.06905 | \n",
" 0 | \n",
" 2.18 | \n",
" 0 | \n",
" 0.458 | \n",
" 7.147 | \n",
" 54.2 | \n",
" 6.0622 | \n",
" 3 | \n",
" 222 | \n",
" 18.7 | \n",
" 396.90 | \n",
" 5.33 | \n",
" 36.2 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" crim zn indus chas nox rm age dis rad tax ptratio \\\n",
"0 0.00632 18 2.31 0 0.538 6.575 65.2 4.0900 1 296 15.3 \n",
"1 0.02731 0 7.07 0 0.469 6.421 78.9 4.9671 2 242 17.8 \n",
"2 0.02729 0 7.07 0 0.469 7.185 61.1 4.9671 2 242 17.8 \n",
"3 0.03237 0 2.18 0 0.458 6.998 45.8 6.0622 3 222 18.7 \n",
"4 0.06905 0 2.18 0 0.458 7.147 54.2 6.0622 3 222 18.7 \n",
"\n",
" black lstat medv \n",
"0 396.90 4.98 24.0 \n",
"1 396.90 9.14 21.6 \n",
"2 392.83 4.03 34.7 \n",
"3 394.63 2.94 33.4 \n",
"4 396.90 5.33 36.2 "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Data from R ISLR package - write.csv(Boston, \"Boston.csv\", col.names = FALSE)\n",
"boston_df = pd.read_csv(\"Data/Boston.csv\")\n",
"boston_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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E//zP/+DDDz/EuHHj8NFHH2HkyJG2zjVo0CD06tXLqa22K+Xl5RgyZIhj5+ecg71x3PR3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\np3U/hBMrjy2NjY0Bv0dTIa+vr0dpaSlaW1vBcRwqKyuxdetWLFmyBLt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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# LSTAT - % of population with low status; MEDV - median value of home\n",
"ax = boston_df.plot(x=\"lstat\", y=\"medv\", style=\"o\", xlim=[0, 40])\n",
"ax.set_ylabel(\"medv\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"OLS Regression Results\n",
"\n",
" Dep. Variable: | medv | R-squared: | 0.544 | \n",
"
\n",
"\n",
" Model: | OLS | Adj. R-squared: | 0.543 | \n",
"
\n",
"\n",
" Method: | Least Squares | F-statistic: | 601.6 | \n",
"
\n",
"\n",
" Date: | Thu, 16 Jun 2016 | Prob (F-statistic): | 5.08e-88 | \n",
"
\n",
"\n",
" Time: | 11:38:10 | Log-Likelihood: | -1641.5 | \n",
"
\n",
"\n",
" No. Observations: | 506 | AIC: | 3287. | \n",
"
\n",
"\n",
" Df Residuals: | 504 | BIC: | 3295. | \n",
"
\n",
"\n",
" Df Model: | 1 | | | \n",
"
\n",
"
\n",
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" const | 34.5538 | 0.563 | 61.415 | 0.000 | 33.448 35.659 | \n",
"
\n",
"\n",
" x1 | -0.9500 | 0.039 | -24.528 | 0.000 | -1.026 -0.874 | \n",
"
\n",
"
\n",
"\n",
"\n",
" Omnibus: | 137.043 | Durbin-Watson: | 0.892 | \n",
"
\n",
"\n",
" Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 291.373 | \n",
"
\n",
"\n",
" Skew: | 1.453 | Prob(JB): | 5.36e-64 | \n",
"
\n",
"\n",
" Kurtosis: | 5.319 | Cond. No. | 29.7 | \n",
"
\n",
"
"
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: medv R-squared: 0.544\n",
"Model: OLS Adj. R-squared: 0.543\n",
"Method: Least Squares F-statistic: 601.6\n",
"Date: Thu, 16 Jun 2016 Prob (F-statistic): 5.08e-88\n",
"Time: 11:38:10 Log-Likelihood: -1641.5\n",
"No. Observations: 506 AIC: 3287.\n",
"Df Residuals: 504 BIC: 3295.\n",
"Df Model: 1 \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"const 34.5538 0.563 61.415 0.000 33.448 35.659\n",
"x1 -0.9500 0.039 -24.528 0.000 -1.026 -0.874\n",
"==============================================================================\n",
"Omnibus: 137.043 Durbin-Watson: 0.892\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 291.373\n",
"Skew: 1.453 Prob(JB): 5.36e-64\n",
"Kurtosis: 5.319 Cond. No. 29.7\n",
"==============================================================================\n",
"\"\"\""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# The statsmodels library provides a small subset of models, but has more emphasis on\n",
"# parameter estimation and statistical testing. The summary output is similar to R's\n",
"# summary function.\n",
"# X is an \"array\" of column values, y is a single column value\n",
"# X = boston_df[[\"lstat\"]].values\n",
"X = boston_df.lstat.reshape(-1,1)\n",
"X = sm.add_constant(X) # add the intercept term\n",
"#y = boston_df[\"medv\"].values\n",
"y = boston_df.medv\n",
"ols = sm.OLS(y, X).fit()\n",
"ols.summary()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(34.553840879383088, array([-0.95004935]))"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Scikit Learn provides a larger number of models, but has more of a Machine Learning POV\n",
"# and doesn't come with the statistical testing data shown above. However, it produces an\n",
"# identical linear model as shown below:\n",
"reg = LinearRegression()\n",
"X = boston_df.lstat.reshape(-1,1)\n",
"y = boston_df.medv\n",
"reg.fit(X, y)\n",
"(reg.intercept_, reg.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n"
]
},
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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LG8/5Zi0BiCjMZ+hzj1Ax+Gb47jtPvL1aJS1aXWNv9l1aVlF3AxNCeISsmdcS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\n1kYnhFvWlkvLKizB32jwITMijqzwgcT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XL0hJgW3bTDPydeugrAzeeIOK//yXLcPHMe/q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\ngg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Drawing the regression line on top of the scatterplot\n",
"ax = boston_df.plot(x=\"lstat\", y=\"medv\", style=\"o\", xlim=[0, 40])\n",
"ax.set_ylabel(\"medv\")\n",
"xs = range(int(np.min(X)), int(np.max(X)))\n",
"ys = [reg.predict([x]) for x in xs]\n",
"ax.plot(xs, ys, 'r', linewidth=2.5)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 29.80359411, 25.05334734, 20.30310057])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Prediction\n",
"test_data = [[5], [10], [15]]\n",
"reg.predict(test_data)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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58/Fe+nOQZRmXLp6Nj184G2++3wtvpRMuh4jfv30cnfOb0dzggSwB/72rB398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\nphjkiYiIbIpBnoiIyKb+f+TQr0EyGKRiAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"boston_df.pred1 = reg.predict(X)\n",
"boston_df.resid1 = boston_df.medv - boston_df.pred1\n",
"sns.regplot(boston_df.pred1, boston_df.resid1) "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multiple Linear Regression"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(33.222760531792879, array([-1.03206856, 0.03454434]))"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# regression with 2 input columns\n",
"X = boston_df[[\"lstat\", \"age\"]]\n",
"reg2 = LinearRegression()\n",
"reg2.fit(X, y)\n",
"(reg2.intercept_, reg2.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(36.459488385089777,\n",
" array([ -1.08011358e-01, 4.64204584e-02, 2.05586264e-02,\n",
" 2.68673382e+00, -1.77666112e+01, 3.80986521e+00,\n",
" 6.92224640e-04, -1.47556685e+00, 3.06049479e-01,\n",
" -1.23345939e-02, -9.52747232e-01, 9.31168327e-03,\n",
" -5.24758378e-01]))"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# regression using all input columns\n",
"xcols = boston_df.columns[0:-1]\n",
"X = boston_df[xcols]\n",
"reg3 = LinearRegression()\n",
"reg3.fit(X, y)\n",
"(reg3.intercept_, reg3.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JaklB5U/si/cmYU7Tpk3RpEkTlJWVYcCAAYiP9+ppRFaZmanQ64sAVAGoMmfM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\nse9mV4KtfYKe180VAUuXtC3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KymKPcyLs3yulO119zNz5Nfz5/HjqzbH1xth6GxITLTvv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\nNgyFhTsBAJmZHI+PZgzyRETkE51OhzFjBkW6GOQ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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plotting a fitted regression with R returns 4 graphs - Residuals vs Fitted, Normal Q-Q,\n",
"# Scale-Location (Standardized Residuals vs Fitted), and Residuals vs Leverage. Only the \n",
"# Q-Q plot is available from statsmodels. The residuals vs Fitted function is implemented\n",
"# below and is used for plot #1 and #3. The Residuals vs Leverage is TBD.\n",
"def residuals_vs_fitted(fitted, residuals, xlabel, ylabel):\n",
" plt.subplot(111)\n",
" plt.xlabel(xlabel)\n",
" plt.ylabel(ylabel)\n",
" plt.scatter(fitted, residuals)\n",
" polyline = np.poly1d(np.polyfit(fitted, residuals, 2)) # model non-linearity with quadratic\n",
" xs = range(int(np.min(fitted)), int(np.max(fitted)))\n",
" plt.plot(xs, polyline(xs), color='r', linewidth=2.5) \n",
"\n",
"def qq_plot(residuals):\n",
" sm.qqplot(residuals)\n",
"\n",
"def standardize(xs):\n",
" xmean = np.mean(xs)\n",
" xstd = np.std(xs)\n",
" return (xs - xmean) / xstd\n",
" \n",
"fitted = reg3.predict(X)\n",
"residuals = y - fitted\n",
"std_residuals = standardize(residuals)\n",
"\n",
"residuals_vs_fitted(fitted, residuals, \"Fitted\", \"Residuals\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = sm.qqplot(residuals, dist=\"norm\", line=\"r\")"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JYaVfD2/inq6W+TXXXIOsrCyfCkd+EB0NjBsHpKQAjzwC/PYb8NFHwE03Kd3vf/1rqEtI\nRGTFZLrgcds/O2rUKABASkoKunfv7vTPF7Nnz0Z6ejpSU1OxadMmn16r1rntNuD774H+/ZWfjx4F\nevVSxtfLy4NSBI6rka+Yc0HkR+7mrZ04cUJERA4dOqT5z1tff/21PPnkkyIiUlxcLN27d3f52HCf\nZx5S1dUiy5aJ1K9vm5PeubNIkLan5Rar5C3OZa4d3G0Ty/uHa97EPV2Lxhw8eFC+/fZbERFZtWqV\nTJgwQfbs2eNdKUWkurra+uFVVVXJrbfeKtXV1S6PzWBeg127RG66yRbQ4+JE5s1Tgj1RGOKe2bWH\nVtBWV+aOS0LCE5KWNl2Ki4tDXNrw4E3c05UGPWHCBMTGxmLXrl0oKCjAXXfdhenTp3vdGxAVFWVN\ngCgoKEBKSorLxWlIhz/9CfjmG2DsWGVBGZMJGDFCSY77/fdQl46IajFLNv2wYfda7/u2sfRzABbj\nxImFWL16LK6+egHOnDkT0vIala5gHhUVhfbt22PTpk0YOHAgUlJSIDUnwdfok08+wbp16zBp0iSf\nX6vWq1cPeOUV4LPPgKuuUn63cSNw443A2rWhLRuRA+ZckCIXwFgoCXKxKCkZg8zM3BCXyZh0BfPz\n58/jhx9+wMaNG3H77bejvLzc513TtmzZgsWLF2Pp0qWIj4/36bXITkoK8MMPypx0ADh9Gnj4YSAj\nQ9kznSgMBHSxJQr75EJbZa4q1EWJHHr64j/44AO5//77JS8vT0RE5syZI8uWLfNqLEBE5I8//pA+\nffrIqVOnanwsx8x9sHq1SNOmtrH0q64S+fjjUJeKKGxEYhKWUZILy8rKJCsrX+LiplgT5Bo35ri5\niHdxT9eiMQBQVVWF06dPIyEhAdXV1Yj2YdWx1atXY/78+bj66qshIoiKisLs2bNxmWXJUjtcNMZH\nhw8Djz0GfPyx7XdPPqksPtOoUejKRRRijguatGnzBrZtG4omTZqEuGS+MdqCTmfOnLF2refkDDP8\n+feHgC0a89VXX2HixImoW7cuCgsLMWvWLHTt2hV33HGHVwVNS0tDWlqaV88lD115JVBYCCxaBIwZ\nA5w9CyxerPxu6VLgzjtDXcKA43KSpMVxQZNffnkWt9zyIn78cTKvkSBq0qQJ/vnP8Zp/43dXP13N\n69dffx2rV69GQkICAGDYsGHIyckJaMHIj6KigGHDgB9/BHr0UH534ICy0MxTT0X0WLql9ZWZ2QuZ\nmb3Qu/fKsBxDDDfhPuYaKHv2dLEGj3Dh6WcRKcmF/O56Rlcwr1+/Pi6++GLrz82aNUNsbKybZ1BY\nuvpqYNMmYOFCoEED5XeLFysZ7xG6Cp+69RVrXk4yvG7W4aa23EQzMnqiTZs3YAl6wDsAeoS2UA68\n+SyMmFyoVWHhd9czuoJ5XFwctm3bBgAoKSnBypUrUa9evYAWjAIkOhrIzFRa6ZZhEksrPSMDOHUq\naEWpra2/cGT/WSxc+C6KipoD+BhAVcTeRJX72lAkJr4I4EMADyMlZU1YtWK9DWhac7vDVW2pPAac\nniy533//XZ588km56aabpEuXLjJs2LCgZZczmz2AqqpEFiwQadDAlvGekCCyYkXAV48LVsatu+Uk\nSaH+LEolLm6i9XMBlglQEtGrs4VzRnttWCnP1Xuszd/dgC3nGkoM5kHw228id98tdt8m5efffgvY\nIYN5kwrnm3U4UH8Wzp9LYuIEnrcQqQ0Bzd29oLZ+d/2+nOvZs2cxZ84cDBs2DIsWLUJ1dTUA4Nix\nY3jqqaeC0nNAQdCqFfDBB8DKlYA5yREffQTccAPwxhtAlbEXdjBSl2M4GjmyC89biBhx/NtT7hL2\n+N3Vz20wnzJlCgAgNTUVu3fvxvz587FmzRqkpaXh9ttvD0oBKUiiopQ90v/7X2XsHADOnQNGjwa6\ndlW2XPWjSMm4jQTqzyIZjRvPhv3nMnRo79AWsJaL9IDmc4Xl3/9G1T33YG/Hv2Bp9tpaO97udtGY\nAQMGYOXKlQCAyspK3HrrrejSpQumTJmiucBLIHDRmBD59FNlcZlff1V+jo4Ghg8Hpk0DGjf2yyE4\nhzR82H8W6elJyM//EgA/F9InJN/lM2eAF16A5OQgytxr/CfMQ2Xi79i+fayhF5/x+6IxMTExtgfW\nqYPrr7+e88trix49lIz3qVOBOXOAykpg3jxg9Wpl9bhBg5TWvA8sLQ4KPcfPgp8LAe6DtOVvFRXl\nKCg4iS1bMgAA+fnL/T4coCrHkB6IW7MGeO454PhxRAEoRyym4V7sxlPAHqBLlzfwww8jalVF1G03\nu+O2pNymtJa56CJg5kzgP/8BundXfnfsGPDoo8rPO3eGsnQRi1P2jC8SPkN3U8bs/zZyZLQ5kAdm\nPrj9seZlXondl3dQ7kHHjwMADrdtj5vwGqZjtbUMv/zybEROp3THbcv80KFDmDt3rsufn3322cCV\njMLH9dcr3e7//Cfw978DR48CX3wBdOgAjBoFTJkCNGwYkqJFWle943rh7lo5kfbeI4Unn2E4c1zu\nVgnSyhrv6r/pWhXcp3J8W/QQXsFEjMbriC2pVP5w2WXAa6+h+YMPorL9NGBPQIsR9ty2zPv27YuY\nmBjrP8efqRaJigIGDAB27waefVYZQ6+qArKygHbtgLffBszjVsESiYtN6F0kxPG99+q1HPPmrTd0\nSzBSRMLKZSaTCUVFP0JZTKem66kngLcQkGTW6mq0/WozfsYNGItXEYtKVCEaP9xxv3IveuQRxF10\nEbZvH6taza9WJtQGbKKcn3CeeZj6/nuRv/xFPTe9SxeRrVuDVgSjLKjhyVxZve9J63HAhrDe8rK2\nMMp16Yrjgk7AEgFKVNeV4/z35ORcyc5e79/54F9+KXLLLap7zJe4TR7vPEXzGJE0Jz2oi8bk5uZ6\n+1SPMJiHnssvSVWVyFtviVx+uTqoDxggcuBAwMtlhJumpyvd6V0kRDuYvx+256E2MfpCL1rXVnr6\nTKf34G3wrPF5Bw8q9xC7e0r15ZfLJxn/JzkL3jXUufRWUIP5F1984e1TPcJgHlq6gtEff4g8/7xI\nvXq2L+BFF4m8+KLIuXNBKFv43jS9qXDouUk6vnel9VTGYB4mjNxKDGQl2e395Nw5kZdeUu4dloPX\nqycycaJyj/ETI3w2XM6V/M6jL/bevSKpqepWesuWSuu9sjIg5dP6YobTlzXQN8acnPclO3u9JCfn\nhnWlhoyjuLhY2rSZHZDrSev7kLvgXyL/+IdIixbqe0dqqsi+fX45rkWw9oTwlTdxz20aYo8ePdxO\nR9u82VhJHRRg11yjzEP/4gsly/2774CDB4EhQ5REuVdeAe66y+f56fYc50f7M5PY22xx5wVYlqOo\naBAAmBNzBnhcFi32733oUBPy8jaZy2q8zGnynT9mN5hMJjz44Dr88sswAB8hMfEbbNgwNkDXk6A3\nCvHwjGeBw7/Zft2hAzB3LhCAVUbdZegbnrtIv3//ftm/f7/Mnj1b/vGPf8h///tf2blzpyxatEhe\nf/11n2sferBlHlped2VXVoosXeo8nt6jh8i33wasvP5qCXtbg9d6XnFxcdj0FBhRKHpaPDlmOPQE\n+avFGeg8FEs5O+Er+QTd1feGK65Q7hkB6sUTMUaejUgAu9kzMjKcfvfkk0/qL5kPGMxDz6eb1dmz\nItOnizRsqP7ipqeL/Pqr38vqry+rt69T0/OCdeMPhwDjD47bsyYmTpDs7PUBrSB5EhjDpds21Ne9\nbnv3SmVamvpe0LChyIwZAc2vsTBCno1IAIN5nz59ZMuWLXLu3DkpKyuTrVu3yn333ed1QT3BYB5e\nvA4Sx4+LjBwpEhtr+xLHxoo884zI77/7tXz++LKqb2plAqzXzOh1/zzn7RyDu4d76AKMvyoTtvNZ\nJsre6kpQb9x4esDenycBLVxaev7vkfJzsDt8WGT4cOfv/8iRyr0hiIxQ0Q1YMN+xY4f0799fOnbs\nKB06dJDU1FTZtm2b1wX1BIN5+PBLkNizR6R/f1XNvCK2rlQ8+6zPX2pbQtg6n+e82t5riSiZ4r5P\nLQvWjd8fx/HlhufPyoTtvWjtuV5m/v/1kp29zqvXd39M/wRzb86lp8/xZxD2a7A7dkzk//5PJC5O\n3Rrv31+5F5CmgAXzr7/+2ul3mzZt0l8yHzCYhw9/BiPTli2yvcn16rmkDRqITJggcuqUx68XiNZo\nWVmZpKfP9Pg9u7oZBmqamiNfPydfz6U/rxNbWdY7BPNSu5Z6ubRpM9tvrSxPAqPWY+2HAIqLiz0+\nl77ka4RLi7Ps8GH5912pUl7PIYj36iUSpIagkfk9mB88eFC2bt0qDzzwgHz11VeydetW2bp1q3zx\nxRdyxx13+FxgPRjMw4c/b9KW17odn8vnuF39hW/USGTKFJEzZ0JStkC9bllZmSQnL7be+JOTF+ts\n5dsCVnFxcY03bV9baVrvOTt7ne5A4e/PoqysTLKz19lNlyqRuLinA9rL4W0CnGPwTkyc4HE5wyXv\nwislJVL+wgvyR8xFqu90VXKySJDWJokEfg/mO3bskBdeeEFuvvlmGTRokAwaNEgGDx4sQ4YMkUWL\nFvlcYD0YzMOHP7vy1Des89ITL8r/mrdUB/WmTZWFZxxa6lo3s0AFc393XyrzwTcIsEGSk3PdvpbW\ne0pMHGuuELhvtflyw3c+bok5kHo/1OCPhDX795SVtTqgwdxbzuduvcflDIe8C4+dPCkyebJIkyaq\n7/BW3CY98JHkLHwv1CU0FL8H89LSUnnzzTetXeorV66UPn36yIgRI+TEiRO+lVYnBvPwoidI6H2M\n85j0BRlzw3A52rK1OqjHx4uMHSty9KjLm1kgs1S9DYyOz/O0xaX1eGC629fw1/u1P5fetC7dtVb9\nNQQSjlnJritC+stpq/StF2C9qtIX6oQ7p+/CkSMiY8aINGig+s5+i45yNz4QoDpsKlpG4vdgPnr0\naJkzZ46IiOzdu1duueUW+fLLLyU/P19GjRrlW2l1YjA3Fk+n9ajHpMvMgf2C3I81sju+lTqox8XJ\nD93vk5bY47LVEojuR1ti3Xprd7M3457Z2es8anE5rsSljBGv8uvN3NU5q6kVnJ29XvcxAtHt7q9E\nR3/zR6+EbThGuRbsh2NCGcztr9GW2CNrr+gh1Y6JbbfcIhdWr5aU25eGXUXLSPwezB9++GHr/+fk\n5MikSZOsPw8aNMiLInqOwdxYPL3ZqB/v+FyTvDfiJZHkZNUN4wJiZSkekzb4X8BvZo5BVqlslNZ4\ng9Ied17vcaZ7cXGxuWW8XoASSU7OVY27+9rtr6fipVRClthVKpZIdvY63ZWnwCTEhVk3sx1fK5X6\nutmDHyhzct6XdvhBluBxuYBYdRC//XaRjRtFqqut5QzbcX0D8Hswf/TRR63//7e//U0++OAD68+D\nBw/2ooieYzA3Fk9v3Oqbk5vxxaIiJRPWPqkGUbKleQcxbdokZefPB+Tmod3V/b6HlRTbe/Em093x\nOY5d2P4bG9c+Znb2elGyx983/yuxq5h4srCKv3Mtwmes3J/CLgGuulrk889l343q7UgFkP3Xd2Ji\nWwD4PZgPHDhQTp48Kfv375cOHTrIGXN28dmzZ1Wt9kBiMDcWb27c9t2mNbY6t22Tyj59nG4q/214\ntfTHconB+YBvDKEnmHt6Hrw9b/6eQpadvd7pdbV6A9wNGbgqq//yDtQVi0gL5uprocS66p0vOSqe\nPM6qokLkn/8U6dzZ6fu2Hn3kyY4vsNUdIH4P5p9//rl06dJF2rdvL4sXLxYR5YK4//775Z133vGt\ntDoxmBuPLzcX3TecXbtEhg5Vb7sKyG+4SkZhtix9bbXf3ovzVqMlHlVSPBkr9aTFrbeV6m5c3D5I\nA0skOTlXM1BnZa2S9PSZkp4+01q24CXi2SorR44cUa3+1rjxdCkuLvb7cUPdRVxWZj8dz3VlTW+F\nzqOKX0mJyGuvibRq5ZSzUvHEE7JySi67zwMsIIvGlJeXyx8Oe8lu2bLF89J5icE8Mvlt7PPYMdl+\n7yNyHBerx9XjLlKWit21yy9l9TQBzpPX1Qqyes6NnoBa02spgXuDuZVbJsAFjYVySiQh4Qnz40qt\nSV2eLKwhDOU/AAAgAElEQVTiTXDUen/eLOLjiXAak9fz+eqtVOl63K5dypKr8fHqIH7xxcoU0SAv\nu1qbcT9zMgx/J0Xd2S1HhmKB7EYbpy5B6dFDZN06pdswwDzplXAVNDxpcdtPYWrd+mWnVqr6tZzX\nmK85Ua9E4uKmWMupZNSXuB3/136fpQJskMTECbpb0qEI5r5cl/6u9AUlmFdUKN+NHj2cvzdt2ojk\n5oqcP+/1eyDvMJiTYfi7m9YaWBa8KxfWrhW56y7nm1PLlsoObkeP+vGdqMugt1Xn7v3rPTdHjhyR\n5s0fE2Xu+XEBZsq11z6nWiVOCX6lot6opOb5+ernO+YMrNf9WdnGuPUtveo41KA1zSuQ2dzeXpfe\nznrQ95qu36veXAvHx93f9Q0pnzpV+U44fk969xZ57z2Rqiqvyk2+YzAnwwjKFJv//U9k1CiRxo3V\nN6vYWJG0NGUqjR9vWJ4EAl+nHxUXFzu0mKcLcEyADXLNNVMlMXGW9W/KGLPr+enuWtha5UxMnKD7\ns1Kev0HXedGqDGnlDgRyTNvb69LbREk95dHT+6GrN+jcOXlvxFTZ06mbVMc6TC1r3Fhk9GiRn3/2\nuqzkPwzmFNbcTbEK6Ljk2bMiixaJtG/v3App1UoZD9y/3+PyO/IkmNcUNGo6lnaLebpYdhFz/Fvn\nzs/42OJUymlZH16vsrIyzRXktLaTDZdpZ95cl4EK5n5x4IDISy85J7QByndi8WLlO0Jhg8GcwlZY\nJBZVV4ts2SIycKDzloxRUUrX/OrVIiaTV+X3Zjqau6Dh7u9pac7LugKPiWVcXGscPClpnjngT5ek\npHm6z7+vU5+cV7LT7oIOl2DuDVezHpKTF/s1aVI3k0lkzRqlyzwqSn2tX3SRyKOPKvPDzYu8UHhh\nMKewFXY36uJikQULRDp1cm6tNGsmMmyYEvjN3fC+TgPzVE1dzrNmLRdgml3wmCbAP8z/P18A25Sz\nxMRZMm3aUqlT5wXr6zVqNM2vU7pqquyUlVmW7t1grnA4n8OgDL0EkGMCXHb2enOCYpAqsFVVyjX7\n1FPKJkWO13XnziI5OR7tRkihwWBOYcuXxKKAd8V/950yjc1hxycBpLTZJVIxdqzkT14YlMqI68Sz\nEmnd+mWx7LiWmDhWLElvyr9j0rnzM5KVtdocQEoEWC+JiWOla9c3BHhcs6vb8bjejs36K/M6HOZ4\n+0vQKrC7dok8/7x2N3qTJsp0sx07/H9cChgGcwpb3rS6gt41f/68yMqVUtm7t1Qi2unG+HN8S/k7\nZspV+Nnn7lOt/IHs7PXm8eVScU4aW2Xtnlb+9py0bj1D83zav7ayFOsG0dptrXPnZxyyxp3Ps621\nuU6SkmytTMe92PUGaiO3vD0V0N6cfftE5szR7lmqU0fkvvuU1ds4rcyQGMwprHl60wpV13xOzvuS\ngEMyHPNkK25zvlkCsiu+lYzDdEnETx4HJcdKim25VPu53MViv7lJQsLj4jjFq3nz5627hjlmfatb\n+BvMrfjpYuuWn2j+Xblmgprzsq7OGemdOmVaH1fTFDdXSY++tsTDuSXv2dQyHRXWX34RmTlT5Oab\nNa/JrbhVXk8cKGUHDgTh3VEgMZhTRAllMLc/bmv8JNvuG6gsoqFxE/0ef5bVf/6r5E9eqHmzdgw2\nttcvEyXjebo5UDtmQpdIevpMycl5X/r1m6IZUNPTZ9qtaW9rNdvGakulUaMp5orBMfOx+psDueV1\nnBPmmjd/zCHJTitbO1OADZKUtMBloNYKVPatfftye5MpH/KkyhrUVHlxe41XVytd6FOnitx0k+a1\ndzrhcpmMSdIav+j6joRz5YdsGMwpooSqW9Z2XMu4s3nVsupqke++k29795ddaKd5cz1w0aVS9vTT\nsm74i/JIvxfNY9ulqmCj3MDVrWwl2NoSw4D1qverLLs6TiOgbtAM8srvbOPtHTsOMwfy9RrBu0SA\nWWJrtS8RYLXD69r2mrcl3JVay56dvc7pHGpNn1PvtuZcbvs57P6cChgOtCofjuvgx+IPeffZ6cr6\nCImJmteY/OlPIpMmiWnbNklsPV7zHOs9PgN6eDJMMJ8xY4b0799f0tPT5YcffnD7WAbz2i1ULQnb\ndCrtceSUlGXyJ3wvk5Au3+NGzZtuCRpKAR6SDAyRS/A/sSylatuj3HllNctcbst+4fbnQZlaZh90\n55ufY1nlzRJ015sDd5ndDX6daolWZSEZy+vMEqWlbtuJzLZWu30AHyfAGtHqSXBMplNa3No9Ce5b\n+7ZMcFv+gHbgCUQw93YanrvnuU5qVALvA11fl0exVFajr5yNidMO4O3bKy30n35yeP+lYj9zwbJZ\nTiRUfmozQwTzbdu2yVNPPSUiInv27JH+/fu7fTyDOYVCTTc+JWFtnXUxltb4RcbgFSlCN83kOQFk\nGzrLyxgro9o/J2/Mekcz0NWUTZ6dvU7S02eau90Xia1lP02UbvQlom7tl2iOX1vG2JUAc0DU4+n2\nvQQl0rnzM+b3aQng2uu5W8po6563LCFr61nJysoX28YuxQ6Vk2UCHFNVopTflTkdQ91N75+eG1vL\n1f068s45D4tdTkHTyjuohzLpgU/kZYyVY63aSLXjPHBAKhAjnyNZcq55WEwuGjy2a9R5sxytIB3W\nM0pIxRDBfO7cuVJQUGD9+e6775azblYfYjAnvfx509G68dkHW/WN3771uliaIkvS8bYsR5qchHZL\nq6JOrHwWc62Mw3S5GV9K00ZTVYGjpveiZKmry9ehQ6ZmmbWebx8QExPHi22P8PUCLBRLCz4u7mlR\nWuP/tHtt+xZ7iSQkjJCsrNVy5MgRcyBe4/DY9dKhw1OSlbVKrr3WNuwALJGuXV8zH3+9WPbudm6t\nrxNgvcTH95dp0940D10oO7gpW7au9+NnXvM68lrXhnpYQ73OfjTKpBO+lbGYJh/jT3LexTUhTZvK\n/7p0l/5YLk1wusaAa7sGLdeCJQdjvdOwh/rxYTyjhETEIMF80qRJsnnzZuvPAwYMkN9++83l4xnM\nSQ89Nx1Pgr3jjU/plrZ1+aqDqaVr+2kBpor9xiYxOC9/wecyA73l3+ggVXBuhQkgp9FYvr3iT/LV\ngxlS+tFH8tfkXLctROeAUiLx8f3F1aIs9u/9yJEj5qCpBEQlONq/lwLp1ClTmje3BM0NomS/L7Kr\ntLwkwEhRWtbKOY+Ls3SLr3Oo4CyR5s2fsnutXLG0ILOyVmtMpXMcz58stpb6ZLvKgG0HN0+vFa3r\nQDmnzkMDjmPQNQXzuiiV9c/NFpk1S/bdeIucgsYCLoDSIu/cWWTcOGWxl4oKj1vPlt4aZQ0CW6+M\nZeqgZcqjJVFSa617d9g1HxqGDOaPPPIIgzn5TE+3uKctDPVYp/MYsfYN3dK97dxyBgqkOQ7L5OuH\nyQ9JveRnuEhwAsSEurIFiTILf5c+WCtdrp3iNIbueptSpXvd0qpUv/dSjS1NLV3bJXYBoVSUrnv7\n18wXW+v9aVG31i3v8Z+ijOGvMQd1yxj8eIfXWifABUlNneoiA95SEXBO8FJe0/L/0zVboe4+U3dz\n6pVeAtdJec7n/oLcd2uWjL3+aZmBMfIFkuRCVB2Xn+vBuASpeOIJkYICkZMn3ZTPs6EDrZ4ax9kC\nrsbT3VVyGcxDwxDBfN68ebJq1Srrzz179pRz5865fDyDOelR003Hm5uS+8SldQ5BxzEb3XmRlvj4\np6yJbZab9lX4Wf6G4fIOUmUfmrsMAgJISfNLRfr1U+Yab9okZYcPuyyffZBTv3fXSWe26W/vm4Ot\n4+Nmqp6jBHTHxwwVx0pFfPw4cZ56N12Ahard3dq0mS379u2T1NSp0rLlIHNZtCpF9sF8g9MCNt5e\nJ7Ykw8l2n6tD6//0aZFNm6R86lTZ0/EvUtrsErefWVWrVlJ4ya3yOHKlFX6WxMRZNU6/82a4yNWw\nkNZn7UklN1QzSmo7QwTzHTt2yGOPPSYiIjt37pQBAwa4fTyDOTnSutnVdNPxpvvSvjVrn/2tvee3\nY7CaIoD95iKzxbFLWP18pVV/JQ5KGvJlLp6Wf+Nal8l01n/XXit7OnWTiXhRHsB6ScTPEo3zqtak\n62CuDA8kJDwms2Ytl/h4+9bzbI33tFIV4Jo2HSjq9eFfEPX89QuSkPCEKNPcHIPKiw7d+8rvo6Ke\nEvUKeOokOqUSUGJ3Tl0nfGlxdx3YJ5RFY60kYpE8iHx5AVNkT6duIq1bu/8soqNFOnRQlgbOzxc5\neFDzeFpbyPqa76F1/Wu11h2DuZ7vBRPggs8QwVxEJCsrS/r37y8DBgyQ3bt3u30sgznZq6mb1N30\nIE9aGFpj0q6yzYuLi1XBXunGPi72CUmWbmWtoKN072olfo2QeJyUv+IDeR4Pyp72t4q0bOk+oABS\nFlVHKtq3Fxk8WGTWLLlQUCCDOk2WelglQIF5ERn7LvVyUca+HYN3pl0QXSLAELEkqqWkLJNZs1aI\nLXHO0p1uGTu2nyJXLMo4uTLH/dprp1mnn2lPz3OcFlciwP+JsivccgEKROl+L3YZgGq+fpT3dWe3\nHDHt2CHyr3/J1of+JnkYJN+io5xHbI3nWVq2FHnoIZGXXxbZuFGkpETHdaQOqJYxb1fTID1hP9sh\nO3u9FBcXq7L9tbrZ2Y0engwTzD3BYE72bDcf95m7WjxpYXhyk7NlQduCmhKcXW+H6ZiI5LhNqPL/\n6rnf1uMfOyby4Yci06aJPPCArgAvgFQhSg6ghXzbqI0sr9dGxmG6PIzVciu+kivxq8RgrUPQ+adD\noB4jiYljrUu4ageq8S4qCvOsP9snZymJW5aFbCwbxFiCeYE0adJPgHdEmUutPL9OnTECjLJWLOxf\nz+nzrahQ9vPeulVk1SqRWbOk4m9/k0Ntb5Q/ml6s67wJoGxi0qePMtf7ww+Vz0DH9VVWVuaw/aut\n295WsXBMunNdcazp+tbaac8+Ac7XSi4FB4M5RTy904d85clNTiuoWaZLaW+Haem2V7fEHOeBe3ST\nPXNGCViLF4uMHCnSs6dUX3qp/mAFSCWi5BCukK9xi6zFDTIXd8gETJUnMV/6YrDcjg/knfFviBw5\nIlJe7iJQHRPgGY0g7zx1Sxmjts3PBhZJdPTz4jxfXp2UVgdn5RLkyfX4TlLwqMy+tZ+cy8qSpVc/\nKHMxXNbgQfmp4TVSffnlSte3B+fgbMPGcqBte/nPHfdL+cKFIl99pdnidn292CosloqbbfaArVdD\nXRlyHPqwvXdXa9zrvQ45j9yYvIl7USIiCGOHDh1Cz549sXnzZrRo0SLUxaEAMZlMyMvbDADIyOiJ\nuLg4l4+78cap2LPnJQCx5t+WIydnE4YNu9cvx/CmTL17r0RR0SAAQErKOygsHKB6fG7uB8jM7GUu\n8wcALP/vuvyellerTDuL7kZbvI3WuASJ+A2t8SsS8QtaYzcSUKr79bSU14vDWdTByQsxOIvmOIdL\ncRZ/4CzicQ5tcAEXoRJ1UIkoVOEgKtHO+vM99+xDdHUVPilsgToQ1EEl6uACkm75GQf2HkXZqRsQ\nj/NoiD8Qj8OIRwzicRbxOIuGOOtTudG8OZCYiJ/lIqzc1g170A57kIg9uAqnsB0pKaecPr+aqD9f\nACgH8BGAe5CSshwbNvTF8uWfYevW/+Evf7kOQ4f2Rl7eZvNzqgCsBDAIwIcA7lW9Tr9+M/Cf/1zA\nnj23AeiBlJQCzfJplUHP94LCj1dxL2BVCz9hyzzyeTptTGusVU9meiAXv6ipdVNTRrmrsXRvW0zq\n46mXZbWsWNYY+6UDsuShOr3kKSTLNDwsb2KgfIzr5Se0kxJc5FGrNhz+lSJe/ot2sgl3yO7beopM\nnCiSkyPy/vsi33+vZKNrniNLD8L7ulu0rs+3/WtZemrWaXaB208vTEyc4LC5jeV1Rtj1Uii9H1rd\n8GVlZebeH2XYwtWyrhT+2M1OhuR9prn+cb5QJ/o4zgvXyo7Xfrx3lY+aEvgcu/SzsvLNC7s8LkqC\nmTIWXXzkiCybukT6XDVKeqBQUrFCMjFQJmGSvI5MWYzrZSX+Iu+ivWxGd/kGN8vumKayHy3kdzSR\n42ggp9FEShEv56Ni5YJddn5FVLSYomOlFPFyCk3ldGxDOVG3sezHFbILF8s2dJZPkSL/QjtZgc6y\nCI9LFp6VGXW7y9OYKWl4UnqgUNpju1yB8XJl8yfFkumuZ9Eg5znttqVjvVmIxt1URa1pYpZyuC+T\n46wCy6Y42gmgjrvnMZgbE4M5GZIvc8DDcSUrV2VzDKD6W/Luy+vNVD2t17APBPbzobWzzi2rvJWL\ncwKX5fHuVkqrFqBE+vWbIunpMyUra7X07TtJlJXlHnfzPCWgNWnSVxxXuwM2uNykxtXGLeq/ua4I\nePK5Z2evl6SkBdZzr4yf6+9NKisrs5uu6Djf3/Xr1DSHnuPixsFgToYUjIzaQB3DdcvKt+58vcHc\n1rWqLJVq37Wq9wZuCx7aLUftaXOW5W3fF/WubUqwVRLjtCoB/xTnRC/7Pde1Kgf2wVydIGbfmtbq\nInf8PFy1vv0Z7JTEvnnmczRdkpLm6U5otK8QKJ+rZWaA8ryEhJEeB/NADzGR/zGYk2EFquXgSWvY\nm9euaX9qb3sA9FY+lOOpd0pzNVXvyJEj1h3Qjhw54nAcrTXJ15mD/BpRpo1Zun4ni7JWu/1xp4l9\ny/bIkSNSv/5Dol5NbZrExt5vDvKr7I7nuCa649ark8S2+YuruenaQdrXcXFvrktXn4njPPCahlYs\nGfGW2RA1zXJwdc2EeoiJPMdgTmQn0C0SrZukqxaupTyeBIbi4mJJT59p3QNd6/laCVOWvcXtH79v\n3z6JibFtWBITM1n27dtn151bLPYrrSUn5zqs671YLLuXKf8tcAi+66VFi4GSmjrVWmlSlnvVWlSm\nXGwbpmgFc8vY8IuSkPC4dOgwVGxz7rWWKH3cWpFwnHPuaklTSwKau8/D2+tH65iW3etcbbHqrndE\nq1yuyq31N+1129c7vS6FDwZzIjuBbpG4ml+u1TpybnW537pT/XhlZzPbVqW2bGitjUGyslY7jRHH\nxz/lFCzVy7cuE+CIANOlc+dnzKu7abWAlQVwbN29luVWba3QpKR55krGJI3XsF9XfbxYEgKV4G5r\njderN1Zat55pfV0lYbDE/M9+CdklolREbAsIOZ47+2RDy5i6rYXrOlB7e/24Cp7OaySUSkLCSMnK\nWm03VOL/69XWU2A7Z1lZqziGHsYYzInsBDqYu+rW1GodaU8V0xNIHIOlrTvZtia8rQytW8+0W5zG\n/vGOAUaru9oW3JV9zNV/T0ubrlrBTr2XttbrlIqS0OZqM5o1Ymu1HxNlPfuZ5tcscHpdS/d0Vla+\npKVNl4SEx8VxCVrLeXesuKSlTVetgqYEOMumMtoZ7L4swmK/jKqlt0B5Pcc1522VIMfeEX/1JNkq\nEY4rFHIMPVwxmFOtoafLOliJdXpaOErwWG0OVpbkMddBwhZIXI/52rrYbUvbpqZOdfH4EomKGmc9\nF8qGJu4zxu03itFaZc9V17Dj6yg7oDmOu88yJ70pLXOlpb/GLtjXnP3tuASuuzFi++CVnJyr2q3N\n1b7ovlw/rmYY2Mrh6nNVKl6Wbnl/cHwfyjlzf/1RaDGYU63gyVhmOEzJUbKbF4g6KWqR2LdSXQcS\nVwlfSyQpaYG5FW4b51YCvOOULaXrf9++fdYEuH379tV4g7eNkU+X1NSpLocD1Jt5OG/YYgv4ZebX\nnG7+d0xSU6eqNhmxdOMr7832uomJs6RfvynW3gF3Gfu2c1ciyq5wI0W98Y1zZUprJzNXr+8LWwXE\n1efqeaVTb8XW8hh/JWlS4DCYU60Qjtm57m6o6u5V/TdvS3ewev3zWeaAqHQN29aAX+eQsGYZ255s\nTUpzV2bHLGllnFm9Rrr7cq43zxfPVwVh9UpnjhuwLHHRk/CSJCfnWjcJUbZKXaiqCNW0upktaFqe\ns1DsN2tx7PJ3TAgLZCVQ63O1X8vd00DuaZJeMHqsyDcM5lQrhFswr+mG6iqY690ZS52Zrd09qnVO\n4uP7C3BAHDOnazqOJbirW9TuW+iuXse+tayVea+9fKmygItt/Fu7IuRunrhzEprzGLwyPU5puVum\n6un5PP3FHxUGb78LjjMlKLwwmFOtEG4ti5puqEpXdK7YZxTbr7Cml7v3rT2feo0omd9KUEpMnOW2\ne1r7fZU6tWi9XfNbq4ydOj0tF188XCxTyyzj15Zg7S6YW1qy6h3plDHxa68dY/ecMnHcec2ypat9\ntrzl8whGZdFfLX9vyhqsygp5j8Gcao1wGAu30HNDLSsrk6ysVZKQ8IQ5yJZ6dRN19b4dA70SFFc5\nlcuyWImem7k6Yct1q9iTsqvLOE0sU+eUxEDb8IFlDFurIgQskqSkeRrDCpYpai8KMNfuOevFMesf\ncE4AtMzP15pa5s3+4jWfB9+DqTcV23D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5nlzYu3cv9u7di5SUFIgItm/fzu+dC44Tyzy9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\nwZyIiMjg/h+9YXxUM/l0XwAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"residuals_vs_fitted(fitted, std_residuals, \"Fitted\", \"Std.Residuals\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Nonlinear Terms and Interactions\n",
"Python offers formula parsing support via the Patsy toolkit. StatsModels uses Patsy to provide formula parsing support for its models. But this can be easily implemented as temporary columns in Pandas dataframes as shown below."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(36.088535934612885,\n",
" array([ -1.39211684e+00, -7.20859509e-04, 4.15595185e-03]))"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# fitting medv ~ lstat * age\n",
"boston_df[\"lstat*age\"] = boston_df[\"lstat\"] * boston_df[\"age\"]\n",
"reg5 = LinearRegression()\n",
"X = boston_df[[\"lstat\", \"age\", \"lstat*age\"]]\n",
"y = boston_df[\"medv\"]\n",
"reg5.fit(X, y)\n",
"(reg5.intercept_, reg5.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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XqhWwZg1wxhnK7blzgeXLjS0TESUFtaVeXv47o4tiagzy1DydOgGbNgFduii3b7gBeOst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\n3l5+ad9RfunQSRp//Wv54Vcd5Gt0ka9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qcgeSY86x6ntFWeMdKM1tdMaHo3k8my3wJjbF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\nvIiIiEEp5EVERAxKIS8iImJQ3wGeinSJ8mUZEgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fitted = reg5.predict(X)\n",
"residuals = y - fitted\n",
"std_residuals = standardize(residuals)\n",
"residuals_vs_fitted(fitted, residuals, \"Fitted\", \"Residuals\")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n"
]
},
{
"data": {
"text/plain": [
"(42.862007328169327, array([-2.3328211 , 0.04354689]))"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# fitting medv ~ lstat + I(lstat^2)\n",
"boston_df[\"lstat^2\"] = boston_df[\"lstat\"] ** 2\n",
"reg6 = LinearRegression()\n",
"X = boston_df[[\"lstat\", \"lstat^2\"]]\n",
"y = boston_df[\"medv\"]\n",
"reg6.fit(X, y)\n",
"# save the predicted ys for given xs for future plot\n",
"lstats = boston_df[\"lstat\"].values\n",
"xs = range(int(np.min(lstats)), int(np.max(lstats)))\n",
"ys6 = [reg6.predict([x, x*x]) for x in xs]\n",
"(reg6.intercept_, reg6.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Fae2teio+361jlf+v9trlznete3GxsqTP/9/C9QqBDV5D0oGNE+9GgHpC2lLn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\nQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fitted = reg6.predict(X)\n",
"residuals = y - fitted\n",
"std_residuals = standardize(residuals)\n",
"residuals_vs_fitted(fitted, residuals, \"Fitted\", \"Residuals\")"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/sklearn/utils/validation.py:386: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and willraise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
" DeprecationWarning)\n"
]
},
{
"data": {
"text/plain": [
"(46.800943987797865,\n",
" array([ -1.17511373e-05, -1.17511357e-05, 9.23027375e-02,\n",
" -3.27115207e+00]))"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# fitting medv ~ poly(lstat,4). We already have lstat^2 and lstat from previous\n",
"boston_df[\"lstat^4\"] = np.power(boston_df[\"lstat\"], 4)\n",
"boston_df[\"lstat^3\"] = np.power(boston_df[\"lstat\"], 4)\n",
"X = boston_df[[\"lstat^4\", \"lstat^3\", \"lstat^2\", \"lstat\"]]\n",
"y = boston_df[\"medv\"]\n",
"reg7 = LinearRegression()\n",
"reg7.fit(X, y)\n",
"ys7 = [reg7.predict([x**4, x**3, x**2, x]) for x in xs]\n",
"(reg7.intercept_, reg7.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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F+nVWioo2hKmkicNo5zES93Oo+4iFZ0asCyb2+Qzy33//vc+vaGGQj22x0okmmAe17UGT\nkzMvLh/yRgtO0WK08xiJ4zHaOYtFYZ/W9v7770dSUpLq+u5JSUnYto0dhKItFtsN43WaSNfpX89F\nuzhBicTyromA55EMI9g3is8//zzYHw0Za/KKWKkxu4uVN/pAh8G4lrtOgCVhHUITqXQk057hYaTz\nGIkhYbE67MxIgol9SSIq1XQ3p0+fxnvvvYeamhoAQENDA9asWYNPP/1U95cQNQcPHsSAAQOwbds2\nXHzxxVEpQywoLv4AEyYMhK3GDNSjqCj6NWZHjdhRC4rWEJRAMh2e5/MUcnIWISvrmpCzJO6LxGRl\nlcb1sJxYE4sZrVgTiXPE66CvYGKfpiF0jz/+OLp06YJPP/0Ut912G7Zv347Zs2eHUlYysFiaYS2Q\nYTCeKdrVePvtx8NS9nhtwogHvlbZI4dIDAkLZh98MdCX5iF0zz33HC666CI8/fTTePfdd7Fp0ya9\ny0Z+xPKwE9svu22ls3hgpAkwEkmsTaSS6AIZRmfEoYqxRlNNvqGhAWfOnEFTUxNqampwwQUX4MCB\nA3qXjfyIpRpzLAmlZqBXbYcduSgRBJJVsVgseOCBV1Fe/nMAjQBMzHDpQFOQv+uuu7Bq1SpkZ2fj\njjvuQLt27XDppZfqXTbSwCizMoVLOFK3eqQP+UKmn2i8QDHFrE5rs5Tj93SS9TulAEaCC6OGn6Yg\nf++999r/3qdPH5w4cQJXXnmlboUiClaobd9qLwnr198Ns3k7AM8HeiAPe60vZAwggYn0CxT7AITO\n/fcUGA1gI7KyfmCGK8w0BfmFCxd6fG/r1q147LHHwl4golA0NNQD2Ajl1h6AQGsGai8JN9wwG5WV\nzwJwfaDr8bBnAAlOJDNa7ETpXShZlZycPWHr6EoOmp6AKSkp9q+mpiZ89tlnnLueYo7FYkFZWTWA\nOwAMBLAMmZlvIycnI6Q5uysrfw21Tl2BdvjS0iGJnchCF4k52kmd1s6rap2GGeD1oakm/+ijj7r8\nu7GxERMnTtSlQETBKinZhoqKXDhSgPdhyJD1GDJkreaasXtNpHv3hdi3b3zIZXOvoa9YsRTZ2Z2Q\nmprKlHwYRSITkpOTgQULXsW+fUomk50oXWnJqrCPSgQFM+uOxWKRwYMHB/OjYcEZ70iN2kx7wcxB\n7zzTWU1NjddZvAKZ4Ut9Nj3PmQo5a1ho9J5t0XF9TgmwXtLTp0lNTU3Ytk/kS9jnrrfJyspCUlKS\n7aUAp06dwtChQ3V9+SAKlFp7YN++vWA2B79NXzWO4Gsj2wDcD7U2XaPUcIzaedC1OeUuVFbeDrOZ\n7fEUw7S8CRw8eND+dejQIamtrQ32RSQsWJMnb9znG6+rq5PMzMX2mnFm5mKfNeNQ1gPwNde5aw19\nXUzM7a+XcK6pEOj88XpnQmJlXQZKTGGvya9fv97nC8KQIUPC+sJBpJW3mqJ7e6DS8aoJgG2Gxiaf\n2w2257S/tmDnGnpDg6CsrAQVFfcDMF6bbrh6nwfTvq53JiQeJjWKtyxKvJU33vgM8tu3K2ODa2pq\nsGfPHlx77bVobGzEv//9b1x33XUM8hQVgTz8lc54D8IWcCoq6nUZ7qQlsDm/gIwbZ/EZiPjgC/5l\nQc/hdLHUnGKxWLBkyWbs2LEHffv2xLhxtwNAXA3B5JDRCNBS3Z84caJLyuvHH3+Uxx57LPBcQ5gw\nXZ/YAkmZav2sLS1cWLjWJb2vNd0bzjRurC4hrFW4UuZMjXvnaIaqt34tkczMYiksjK+mIF7jwAQT\n+zSNkz98+LDLm1Xr1q1x+PBh3V48iMJFyyI+zotk5OXdCaAJhYUbA1qkJpyLBTlqsI0APkR5eTss\nWRLbC0I5j00HEJaFfmJ5AaZIUhv37zpcNBXAfaio6IQdO/ZEr6AUm7S8CUydOlVGjBgh8+fPl/z8\nfBk1apRMmjQp6LeRULEmn9gCrSn667wVrtqE1k5i2spzSgBHbb579/yYrc1rzTwE2oku2J8xEm/n\nVu2eBdZJYeHakLIokT7fHDIamGBin6Yg39TUJJ9++qksXbpU3nrrLfnkk0+ksbEx6IKGikGe3Mey\nh/JgikTK0NEcsE4yM4t9BsS6ujpJT58WN2lMLecv3psgfNEzMHo7t+6jRmzpetuIkmDKE61rlOgv\ncoEIe+/6//znP7jyyivxt7/9DcnJyejVq5f9/z777DP06dNH90wDAaisBJKTga5do10STfTqNOa+\n3fHjB3t03Fmw4FXs3DkObdu21bxd1x7TFqSnz0dDw42wWCxhKbt7GYF34Ly05pIlHyA1tbm9LCaT\nCXl5NyIvL+RdxwyjzvcerY5jJpMJH344BkuWbHTpeGfbbzDnNVrXiCtp6szXG8DcuXNFRGT06NEe\nX2PGjAntlSQECVWT/+wzkeRk5TX+6qtF/vhHkc8/F2lqinbJVOlVGwgkbZmePi3gfdbV1Ulh4Vrp\n3j1fc9m1ZhPUU6sbrH+vVd1nKGlMbzUjvWpMWsrqr7Yfr7W5yM2wp386m53gYp9u6Xp30UzViyRY\nkP/HP0RatBCn3zzl65JLRCZOFNm2TaS+PtqlFBHlgaRMI7telKlbw/eg8PYA8tY2Gcw+A+mZ7P7S\ncf75c6zt6PWSmblYCgvX2gOWtzIqLyRTvO4z2DZstZchvVOx/spaU1NjfZnxNT1w/KXyI9nUo/cL\nENvHY59uQX7NmjWybNkyOXfunOTk5Mitt94qy5cvD7qgoUqoIC8isnevyJw5Ir/6lWewB0QuuEDk\nvvtE1q4VOX06KkV0f1ArncbqdA/ydXV1LsFD2W9twPv01g6ekzNPCgvXSmHhOpdZ9NTmxAfm2Y9Z\nedFRApb7/Pe2l4DCwrWSnj41rEEikJehSNXS/M33Hs81SKMFxnjNqCQK3YL88OHD5ezZs7Jp0yaZ\nOXOmNDY2yujRo4MuaKgSLsg7+/57kddeE+nfXyQlxTPgt2ghcvvtIq+/LvLttxErlrfaavjT9Z4P\n05qaGmuAXidAbVD7dO3RruzDZJohwDFxXkwmPX2+ZGT8yR7EXY93vf0lw5GOP+tSo3d+eKrt018v\neufx/LYXD+emAm/ZiEgHUufjLSxc63Pf8RzkRdQDY7iCJYMuOdMtyNva36dOnSo7duwQEWGQjwUn\nToi8847I0KEiP/uZei3/6qtFpk4V+fRTkXPndCuK2oM6J2dexFLCwf6fZ/nrrAF6nQCrrH9XC+Z1\nLsHZOXMBTBUtzRVq+ywsXOvz+B01YseLh2tTQbHqZD6RrHG6Z3WUTMspr0E8EmWLZNANV/NDPDdj\nkD50DfKzZ8+WgQMHyrlz52T37t0yfPjwoAsaKgZ5FT/9JPLeeyLjxol07qwe8Nu1Exk1SuTPfxb5\n4Yew7j5W05aBjOF2Lr8jMKkF+dXiWDJ2jrj3QejadZKm86AMgyq2vlCssw+Bcv+MZ43Ys7bunDmw\n9QcItONduAKht86Qvs6JnjXWSAddz+OvlZyceQEfW7xnOCj8dAvyR48elbffflu+/vprERF5//33\n5b///W9wpQwDBnk/mppE/v53kWefFbnhBvWAn5wsctNNIs88I/LXv4allh+LqcVAHpRVVVVy/fWP\nyvXXPyrffPON9YFea601O8YjA7Os3z8rQLH1y/H/GRl/cul4J+I9pes8Nan7CnnqNeJjAnj2HXBv\nHghUOGuNaufc1rSg173h694LV7DUuh3Xz9WJc9YlkPPKIE/udO1d//HHH0tpaamIiHz33XfSFMUh\nXAzyAaqqElm6VOTuu0Vat/beeS87W+Stt0QOHox2iTXz92Lhq8Oe88/V1NRY096OFHhVVZUUFW2Q\nYcOesdbeN4gtJd+798OipPPXCfCctTbv+H/npgq1YG1rR9fWVu1I57dqdY+o9x2o9Zs58CWcASXS\nWR1/LyiRDvKuxx/8XPKxmh2LRarPgaNHRZYvF8nNVUYj9ewpcuhQdAsaIt2CfH5+vjzyyCMydOhQ\nERF5/fXX5bnnnguulGHAIB8Ci0Xkww9FJk1S2uvVAj4gctVVIk8+KbJpU9R67Pvjr9e262ccD0pH\nb3dHUMjOfs7jYZyd/ZwUFW2w9qR3blOulWHDnhWT6WH7vtXa7X2P5Z+quk/PIG8L6Lb9PCRKbd4R\n+AsKVoZcSw73wiaRzOr4C77hCpaBbMd2/GqjMAI5r8Gex1jMqunFdl1MqJXfYKOsuHiQNF57rfpz\n7ZNPol3ckOgW5LOzs0XEtbPdiBEjAixe+DDIh9HBg0otf/hwpTav9ouRmiqSmSkye7ZIRYXI2bPR\nLrWIaJ/j3f2BpxYUrr/+Ubfv1Upa2iz7dtu0eV6AlQKstP7deahgjbim9F2HD3obeaBkBxw/55w9\nsPWaV9qyXY8RCL3m7n5+lL4BtrLUSnr6VCksXBcXAUJLDTtavd2jURtPmA57jY0iu3fLjrsflC34\njZyBSf351aqVyODBIqWlMTuJmFa6BXlbcLf1sj937pzcc889QRQxPBjkdXLunMjf/qa05fft65hp\nT+2X5vbbRV56SWT3buWXTSf+21o9a9H+akpqQaGgYJU1XW9LgT+sWjtXr7VvEKDW+qLgORFQXZ36\nWH4l0K8VpfPeHAGOesx+V1Cwym2fddafmyDZ2c+FpXbn2iywVoD5cRUgYiWt7e38RrpWrXTQdG0+\nMkRbfmOjyL/+JbJwociQIV4rJeeQLEcu7yEyY4ZIeXnMVErCQbcgv2DBAnn66afltttuk6VLl8qI\nESMkPz8/6IKGikE+QmpqlB77eXlK+t5bar99e2UY3yuvKB3+wjRUT61G4jwm3FHT1R7k6+qcp691\nDQo1NTWSkzNPcnLmWYOrWjD3fIDa5gNwn/TGubwFBauka9fJYhvLD7whSoc9Wxo+T4BScc8mDB8+\nR9LSfm/9nG3YnnI+MjI8e+MHci5tP+v60qO9/TqWUsLRLkus1J4dL5TOmabAJ4eKCU1NIl99pcz5\nMWyYSIcOXp9Bh0wdpBhj5W6YZXDfwqjfj3rRLcj/8MMPsmnTJpk9e7bMnTtXtmzZIt9//33QBQ0V\ng3yUVFUpHVnGjhW5/HLvQb9NG5E77hCZP19kx46gp91VG4rkXtOtqqryOl2qO9cH8SlJT58mhYXr\npKamRgoL11pnt1unOq5cSWXXCLDY6QG6RLp1e0EKC9fag3lh4Tp7z3r3tn/HTHfrpEMHW3u+4/+T\nk58SR9u/a6/sZs3+KEBZQC803s+lkg2wdQ4MpqOYt6AW7WAbLbHSE97b8MW4uDbnzimVhIULlU7A\nnTp5f8Z07iwycqTIkiUilZWxf2xhEvYgv2vXLrn55pvlxhtvlNtuu02+tc6gVlpaKpmZmaGVNgQM\n8jFi/36RxYtFcnJEunTx/gvZsqXIgAFKM8BHH4mcOqVp854PLPUApPUX3NvQLkd7tOtQNtt2HZ/x\nDLK2lwKti+fYAuvw4bbx9d7Gk6uNhfdsQvA24ZD3fgiu2QBbtsH2klNQsFJ1Mh1t53JtTNRmwymU\neytWgryvezSqfvpJ5H//V+S550QGDhQ57zzvz5COHZV+Q0VFInv2xH3berDCHuRHjhwplZWVIiLy\n0UcfyX333SejR4+WRx55RI4cORJaaUPAIB+DmppEKiuVTny5uSJXXOH9FzY5WeTaa0UmTFA6w1RW\nqv7Sutemg1lj3fkhrdaD3LGgju/t1tTUSFpanurnvD3g1TvcrbdnINTa/YcNe0YKC9c59ejfILY2\nfyXd7z5m/5RqM4ZaM4fyPc9z4Divnk0i3gKBtxcYtcAfrzUsx6I6/gNjqP0CwtkxUK0cMfEScuiQ\nyJo1Ik89JfLrX4s0a+b9GdGpk5Kif/11JWWfoEHdXdiDvPvUtQMGDJAPP/wwuNKFEYN8nPj+eyW9\n/9BDIr16ef+Ftr2pDxki8uKLIv/3f8pbvngu5xrIg9S99qI25aujk5LvB6BrT37XeeZ9jcV33p+S\n6nd0hKqqqpIOHWa6Be1FkplZLFVVVarj9gsL16p28HMO1N5ehurqvC2sM0cCXTVQLZh4vkS5Nq+k\npc2SgoKVAfUjiNQLgvu+6urUFyzy198j2OFuvvqeBHrsauXwVsPXzZkzylTaL78scs89yjh1X7//\nPXoozYCwvT6RAAAgAElEQVRvvy2ybx+DuhdhD/Lua8ZHc756ZwzycerYMZG//EWZSz8ry/t8+7ba\n/i9+ofziFxcrbXX19QE9SL2llN0f5q7Dx856zDznui3PeebdA15mZrG9bd6xmM16UTraufZ2VusJ\nDayzpvPVA4y3DIG/Zg21stqyAWqrBvo712qBUT3z4roegNr5Vdt2pNLLavvS+vIXDlr6noRnmORi\nl+uuNo1yUBobRf77XyUr98gj0ti7t5xLVlk8y/aVkqLMxPnEE8rKmUePhl6GBKF7kHf/d7QwyBtE\nfb3Irl1KR5ucHJFLL/X9tt+ihZLme/RRZWGe//zHZ09+rSlKW4975453ap/xlUVwtN+vdZqqVm24\nnevKfOoBu8xr04Da6ADPBWBqJT19vteXFkefgDkCmMU2dz6w0qWNPphA49k84j7GP1+09PbWI73s\nfwihe9NDYCsEBktr35NQhWVonS2gL1sm8vjjyvwZ3mbRtH41de6spN7z812ydBS4sAf5q6++WrKy\nsuxftn/fcsstkpWVFWp5g8Ygb2AHDoisXi3y9NPKcrpt2vh8gNQ3byFVV/SUhj/8QekEuHOnSJ37\ndLKu67gHm/7VkkXwNxzNvaOcWg3r8sufEGXKXEcgT0ubJVVVVV5HB7hnEvr0eU1sGYSMjD957NPx\nYuDocOi6D88XlEAXWamrq1N9WQHWRTzIax9C6EhlO9YuWKc6m2K4hKPviRYBn9P6epEvvlBq6BoD\nekNqc/k/ZEg+npJhKJOLsD8+h+/FqLAH+YMHD/r8ihYG+QRiqzm8+67IxInKojotWviu8aekKFP2\njh4t9fPny3uPvSCLXyixpuU9H/LhbPv1HKrmaAbwtQKerbNdQYHZWguvF2X62oesAfeUz4e/8zGo\njfF3bn91lNFX5zlvTQKOlwst52r+/OUe2+nadXIA6frwTHDjK8B521e0+gQE2vckkH143e7x48rI\nlwULRO6/X+SXvxRp3tz371nz5iLXXy9ie8H++9/ljdcj08SRqHRdoCYS5s6dKyNGjJCcnBz597//\n7fVzDPIJrr5eVk1fKGNRLK/jYdmOPnIaLX0/kAA5go7yEfrLq8iT32ORrJ38ktQdPeq37dd5khx/\ntTnXB2mtpKdPkeHD50hh4VpND2rfmQBb+tvR417tAarWuS4nZ57KPnwFedtQO+e2+ypRsgvaO4gp\nKWLXEQEFBSv9ngfbudTn5csz+MTaOGu9ylNXXS1lU1+Vj3KflIZJk0QGDfI9/NVHQFebSS7cL2fk\nKq6D/M6dO+Whhx4SEZHKykqfc+MzyJP7QzsZZ2Tp06/Ksz//g8zDE7IZv5TqFP+BXwD5FpfKBtwh\nL2KyPIA3ZN1T+SLV1SIiqqvT1dTU+HwIu7ab+w6I3sezqwX5o2IyPaNaFlsmoLBwrRQUmD0Cq62T\noG2fasvoes7aVyvp6dOs7ffqS9y6D79zbxZQGwoYjZpdwgWfU6dEPvtM6a0+ebIyOZWvCaycv9q3\nV5rKnnhC+fnduwOaGjaQF5RYe7mKdXEd5BcuXChlZWX2f99+++1y2svqZwzyVFdXJxkZruu4d+v2\ngjUY2WrmZ+XmK2bI2ffek/oXXpBNnfrK57jO+0IW7l8dOsh/O1wmS/CAPIV8uRN/kXR8KSOGPeO3\n9q9Wc1Qbj642dMrRqa5WlM5xtrbaqR7bVCbqWWzfhm09+4yM18TWoU6tF7VjSuBVAqx2aXP2PpxM\nfbU93ylwW7t/9IOr4QJKfb3I//t/Iu+/r6TZx4+Xc/36yY8XeJ/+1eUrJUXkyitF7r1XZN48kY0b\nlbHsERq+FskRFEYRTOxrhhhRXV2Nq6++2v7vCy64ANXV1WjVqlUUS0WxrKpqP4BNAJoBGI39+5MB\nvARgCoBUAMCn38zC0sNbMX76dNz65JMoKdmGv56tQ5vqY+h4/BDO+24fDm7ej2twDN1RhVQ0OnZQ\nXY1eqEYvvO2y33NrkvEtrsB+rMR+dMPX5Zfik8efx6CHRwDdugFe7tnKyl/by1VePhoTJixAefkk\nl++ZzVuxc+c43HDDbFRW3ghgHIBnAPwKQJPHNnfs2IOKCsc2gPuwfftLKCjojtGjle/l5t4Pk8nk\n8nNm83ZUVj5r/7nKyt/BbN6K8eMHw2QyYfz4wS6fz8u7EXl5/QGUAhgNAGjWbCbOnfuj6rGWlGxD\nefkY6/ZHA9iInJw9ePvtx+1lsVgsKCnZZi3jAI8yhpvaccW8ujrg22+Bb75RvvbtU7727lX+3djo\n8vEUAK3dt9GsGdCjB3DllcBVVyl/Xnkl0L070KJFhA7Ek+s9otz/JSVb4+8axbiYCfLuRCTaRaAY\nVlKyDV9/nQHgDjgCXD06dKhEdfUaANsBdATwkP1nTCYTcnMHYNCgFSgvHwcA6NbtJexHfwBj0Qw/\n4go8h164BT2xFzeetwaX1x/GFWdr0QE/2bfTDE1Ix36kY7+jQG8AeGOu8vdOnfD7yy7DBakzUNkw\nCN/hUhxJrcC+hkn4Hj/hDJSXgL17D6geW9u2bfHFF7PwwAOvwmxOAvA0gO2orLwe6ekLUFn5BAAg\nK2sZ+vbtCbPZfQtXo7h4L3buHAezeTtKSraFHETHjRuENWtWoLz8HgAbkZb2vzh+/CkAZbAF/e7d\nFyI3d6LKT5sA3IGsrFSXAK9chzEAALO5FJs3j9Q90Mec+nrg0CHXQO78VVWleVNnTS3xb8vPsQ89\n8F/8HP9BD2TPqkHOH8cCqan+N0CGFDNBvmPHjqiurrb/+9ixY0hLS4tiiSj2udYsu3V7Ge3aXY/q\n6mEAhgF4B8nJCzFkiCPwOGoPjQC2Yf9+ATAWQCrO4a/Yh5ewD6l4HwB+fBJKpuAI2uNn6IlD+OOw\n/UirrcGxv1Wi0+kUdMPXaIta12IdPYpmR49iBADgX8r3GgBAicbVaI/v0Qrf7b4KR5tnobL+f3AY\nXdDx2i/xQMYY4PRpmFq3RlbWNTCbb4ESSJVgKPISCgs3IjU1FTk5d6O09H9dAj+wEEA69u17CDfc\nMN9aWwdWrChBdnYHpKY2R05OBhoaGpCe/gwqK6cCMCEraxlyc0d6PdMmkwmbN4+01rxT0dBwK/Ly\nLgQwEsBWAA2YODHdHqRzcwfAbC5FeblybZy3b7FY8MADr6K8/OfW62DStRanljGISBahvh44fBg4\neBA4cED9z6NHleS5RudSm6O2Yxe0/dW1SPn5z5UaevfuQI8eeHvNTkx4+DY4v/T+tvPWkAO8XufK\n1z1CYaRf60Fgdu/eLQ8++KCIiHz55ZcycuRIr59lmzy5dh5TxjGrLw/rWG2tqGiD2yQn7hPWqA0b\n2+D0p/NMZNahZAvXSt3Bg0onpxUrRJ5/XiQ3Vw6lXyXf4RI5h2Rt7aPuX+edJ409esiOn10mpbhX\n8vGUPImXZQzekg2PzBbL9u2S/et8MaFWgFPSvv0EAZ62Hlu9tR18lUr7+SmXjoTdu+dr7vkf6DAv\ntTZw93ZYtZn29LlPfPeF0Dxkrr5e6r79Vlb+8XV5P+95OfvWW8okL08+qayK1r+/0s7drl1w1z0p\nSZkC9pZblKFss2eLvPOOWLZulXtuekmSYPHafq1H50K9280N109CZ8HEviSR2MmLL1iwADt37kRK\nSgpmzZqFnj17qn7u4MGDGDBgALZt24aLL744wqWkWOFew1iyZDPy8gbDuSYDbMSQIf/A9u2Hcfz4\n5QDug8k0HxbLq9bPWQAsA3AfAAvOP/811NZOtv78Qiht4i0BzENa2kEcP74AwHn27efkLHBpZ3Yu\n28CB72BHBXARBuBSHMBleNf6ZwouBXAZDuAyfIdWOBPSefgRrXEMrXAcl+E4OuIE2uMkzkMNjqEG\nGajBBahBa9Sg0vrnYJxEGiwwAWhAUZH/GrRyPKWoqMgFAGRmluAvf8mG2bwdgPYaXnHxB5gwYSDc\nr1FW1g+6pOvV9pczogDvrxyP83EG56MW56MaU8dvxT/Kq1H132vQAdW49qJPMSwrDSknTwLV1cCJ\nE8qftbW+dudf69bAJZcAF1+s/Gn7+2WXAVdcAVx6KdC8uabjULtu4a51a90vRUYwsS9m0vUA8OST\nT0a7CBRHPDtSCYC3ADxo/fcrSEnZhw8+aIuGhkXW770Ai6Wt81YADEdOzgL07dsLZ85ciuefn4if\nfroDwHgAK6Hk2nvg+PHpAN6B0jygPDzN5p+jqmqFR4AymUzIzu6EiorB+B6p+B7p+BQZUNL/d1i3\nMxxZt5Rh86o7YfrhByW16/bVdPAgjv6zEu0sp9AC9arn4Tycxnk4jW44qvK/q7yevwY0w2m0RrPp\nqUBhByUAnXee8qfT3881a4b3PvgcN355CX6B0ziL1rBUNMNfn3wB44feAphMwM6dQEqK0skrJQVI\nScHZc+ew/v1daEpOwd3ZN6NFy5Zo/cMxXIrvkIwUJEGQhLO48/Zy/Or6dKyb/w7uHnoTWqSmAk1N\nQEODkvJ2/nL/3tmzwJkzwE8/KX86//2nnzB47/eowFych9PWgF6L81fVIhnTXU9GMXCX878PAVjh\n9dR5MpmAzp2BTp2ACy90fHXp4hrU27QBkpIC2HBg4rJzIekqpmryWrEmH5pI92oOJ19lV2odtwB4\nH8D/Qelpb4JrYK4HMBcmE2CxKA/6rKxlWL/+bgwZshbl5S2htOc71zT/AmA3gFkAkgFshBKol0Fp\nk05Wrd2o11q3AhgM4BR6956G3NzfYty4QT6vgcViQcnbH6G55QzuuaUbpv1+DQ7+8xfoiI1IQ3d0\nxDFclfYZ2jacRurJVLRDDTqkHEPLxrMBn19SnEYrSLtWOO/yi4EOHYD27YEOHbDr6xN454MbcRwX\nogqdcQTt8PSC/2Ls4/foGrwdHRUd7dehZD60PgPCvV8KTVCxT6emA12xTT548Tw21V/ZHWO/PVdw\nU9rUbX+fJ0Cty1zsyrj2YwJ4rvGuTAJTa2+fV1vq1dvCN54rvtWJY7rbwK+B57S5jj4H7ovkpOCM\ntMdhGXnDXKneuFHmZj0gC/vkSPXzz8vL7bLkBQyThXhINnbKkHNDhyqzn918s8i114p06ybSqZPU\ntzAF368g0l+pqSLnny/SubNIerqyiuFNN8m5fv3k61/8Wvb8up80jB8vMmOG1L/wgnwy8lH58MHJ\ncnb9erF8/LHc/6vnpAu+luY45XMK4mD6IoRDuLYb6DOA7eaxI64nwwkEg3zw9FjdK1K0zT/uffU3\nx9rpNR7HrWzbNrObY2EYYKr988A66d4936njlv/FS2yz0aWnTxFgkVNZgrsGWq6fv6VLPVet875/\n27ZS0CCt8KO0xyG5CJMl51fPieXvfxf5/HNl3fCPPhLZskVk40bZOGGm3IUyuRurJRsr5V68I6Px\nmHx83+Mib74psnSpMpNaSYl8lPukjMLbMhLL5F4slxEolQ/HThFZtUpk/Xo5u369/OWxObLuyfli\n+eQTZTrVL75QJoH55htl8paTJ5WJYUKkNZj5m+0w1l+i4/kZkOjiejIcolAoQ+OyAXwIpW3+TShD\n4wBgKX75y3/g0KEPcPz4CwBaegzXyc0dgJkzV6O6+j0obfGbAPwNyvQiLQG8gq5dT2Dnzulo27Yt\n1q+/Gzfe+Ab27XsclZWDMWSI93HeqampyMvrg4aGs9i1awGamhqxalVw7abBDTv6GPv2PQ5bs8G+\nfY9Zj+8uXz9k39+KFSWoqLgfP6E5OqeXIi+vD8aNux0tVDoblpRsQ3lNS7yHu+DcTJGevgdL3pil\ntF07yRhhwfPfrLBeO+V4Ml9/FrAOc1NSxVOU//u7vmPptbZn+/pcpCd40aPpzbbNhoYGAILU1OZx\n16xHTnR86dANa/LBi+c5vH2V3bEQim1o1kwBHhSgzD6tq9p0rc7/VlZMc51nfciQmfY54Z3Pk5ba\nkLdanevUtdqugfvwNV81Ti1Llyrf87//uro66+p9yrK1alPkeh6rbZiebf/zpaBgpc/yal3nPZAa\nZzTSzJGsJQebNfD1e+Q5xHGJwEfzhZ7YTOCJ6XrSJJ5/ebyVvbDQMwUOTJVu3V5QTaWrPSALCla6\nvSi4LuziLLi0ufM65acEWK9pnfJgHub+xrT7e1HwdwyFhWutLz/rVBbWUZoIbP/vbYlff0IJmNFK\nm0fyJTqUlfUCebGy9UWJZEo/Hpo9ooFBnhKW+sNJWaBF7eGk9vlhw2arBjQ1Sg13sf1hnpm5WNMi\nNWrLwPp7ePrri+AvWLuvUhfIw1Jt3127TnZ5GcrMXGzNpHiWMTyBOvCAGc1250i9RGvvo6I9SMZK\nkGe/AXXBxL7kaDcXEPljsVhQXPwBios/gMViUf1Mbu4AdO/+KpRhavVQhrf197qt8vIvbN8B8AGA\njfjkk+9Vt+2+b4vFgiVLNuHw4eNQ2rY3QW3xmNzcAcjKKrWXyTbXfLjY2qwnTBiICRMGYtCgFR7n\nx/aZvLzBMJsnYc2amoD24X4M3bsvxNdf/xrA/VDanVNRUXE/gCSPY83NHRDS8dmm0i0q2oqioq1Y\nv/5ulJRs83kfxAJbm71tsR+9qN1ftnPu2jcg1do3YFvA2wTeBZAZlutJUaLjS4duWJOPH6HWagKp\nkdTU1EjXrlOsNXhlrXTnNmT3duPk5Olu6flCARy18/T0+U6p5lP2qXMdbdT+axpq/QACrZ2q/UxN\nTY01K+B7KF84akTOx6DU2FdZ97tBbFPSOqft1aex1Xa83u6XYIZ9xUvfk1B+R7Sn3V2HjGrZpq1Z\nJhrNevF0/SKJ6XqKKeFoV/MWpLwFFCUArxZgjnTtOtmlvdtzW2Uqqcm11uC1TrKzn7P+f5045rq3\ndUbyTE8XFq4LeQiWlp9xn3vd1/zv4U571tTUSJs2z7udi0U+O+S5t9/7OkZv90swxxFKM0WkaPkd\nCfZ+cQTJWpf1CuIlYMZz3yG9MMhTTAlHgPHdec31oeWvjdKzPVyts946e83B0ZnPW3u/o6aRmbk4\n6A5mgVJvN52j2okv3DUi730fPGuKgb7k+bp+wQb5oBei0SAc29HSeS7YF2Vb+YLpB0KxiW3yZDhq\n7Y6AuLU33mNduvQLACehtLF/AKW93dEubTY/AmWKW2Vbbdr8E8Db9n9nZLyNwkJBUdFWbN48EuPG\nDUJmZgms68SquAfp6bNRWLgR2dkdUFHxIAJtAw2fq1FZ+SyGDFnr0l7t3q6t3zjzVTCbJ7n0DfDX\nLqylr4WNr/Znb9T2v2TJZr/9GLTQ0h8iHIJtWweUa892dGJNnnQTrlqke43JtfbjPEXsKUlJmWWv\n9Zx//hypqqpya7t2TAVbU1PjN5XsaIN2jGtPT5/v0VYZnfHR7tPlBt57PbQ0sG3fK1WPPdDe3/6W\nrw20vOEa3eB9265zKgSzHX+/I+EZnXDKep3Yvh3vmK6nmKNHu5rrg9E55e75QHRMBBPc2uWOh2yd\n2Nrq1cbOR7qjkGsqVtsUterlDS4NXFi4ToYPnyPZ2c/J8OGeawXYrre3cxJIXwst50Ht8461DJTm\nBKUJRn2oX6A8J1/yPqdCKMcQvmGEruscUHxikKeEod7eqN5W7dwLHFinOqbd13601i7dJ5iJRMeh\nYINAKDVEJXhOtWZHTklGxp9c5gxwn0HN1ivf1jFRfWSA/97f3kcqeL6ouP+fbc0BR+fMddZ7wXuH\nQV/XTm3yJW9zKoQq2PuIY82Nh0GeEo56L2Il2JhMz1hrubZafK0AcwKucak9ZGtqamT48DmSlvZ7\nURa18R1k9KjZqwXQ4Gp5gQ0BTE+f75YdqbVPW+u7Nuo85a1z7/yjfnt/q51PtUDrr6OeEuQX27ej\n9sKn5dpFK4AGEvC1vgCyF3v8YJAnw9HyAHIeKlVQYLb/3T2NbVsyNtSHcU1NjVug8lzZLtQg4O+4\nQ32J0BIAXNt011vnCfBsf7elgb1xPRee50VZujfwKYJ9ta97O/9arouWz0S6ecZ1n9qveTjvI74M\nRB+DPBmK1geQ1loeUBaWh7FacFHWqA9PkI9UTdLfQ9vRucxRltatp6q8PE2VggKz16yC7yBfaw3y\ngU/qU1i41mugVQvCjmaC0IO8lvMXbuHKHjiXW2sfhUhkpsg/BnkyFK0PNW8BwLmdGJjvMTmOVu4P\nc/UgP8dvkAlnKj0S6WJlH54z+wFTXc5rnz4LrOfa1ovbc1y6epNKrUrqvlYyMoolO/s5+wgItfOZ\nmVksBQWr7J3/1EZHuPeX8NbT3H2Uhbde/r76XwQimJcDx33n+2XIH8cKiI6+Clo6bgZyv7HGrx8G\neTKU4IK8oxdxQYFZ3KdfDaa2616Dqaqq8mj7Lygw+wwy4e4wFUiHwGAftEr7u+cytbZOa9df/6i9\n5q58RttCOrYAqfayNGzYs9KmzTP2833++XNcAr2t9pmR4Zh4CFgi3bq94HNWO897pEyuv/5RKShY\nKRkZrwnwhn17GRnFqp0ovfUrCHRkQjApd9cZDpWXoWCaaIJddtjbi7T7PcYav74Y5MlQAuk4pHyu\n1qUmqbWW4ou3gGtL/TrXNsMl1A5T4XzQOmp+tpq75zBExzkKLLug1qTSu/cEj++5t/erXRPlxWO9\nhiBVJ8qUxM9bXwDXC/CkSgBb52OfwWdRgsnAeOuPEGh7vLfMjJbpmNUyKc4dGLXMOkmhCyb2NYv2\nZDxENrZZ0gBlhjPbbG0lJVut31Ofrc32uQceeBVm8yQos4MB+/Y9hvT02aisnA0A1lnSRoalrG3b\ntsWf/zw1LNtyF8hxjx8/2OP7rrOkwTpL2lbVz/rTtm1b/PvfE7FkyUYUFu5EZeVUAMno3n0hGhrS\nYbFYkJs7AGZzKcrL74Eyo+BwAB8jPX0ncnKm+Ni6WD9/n/Xf70JEAi6jQzOvx5qbOwArVixFRUUK\ngPMBXAjgDuv/vu+xpR079mDixBCKEiLn34WGhnqP/8/KusbnzIW2GfmU+wAwm0sxbNgFAH4DoBTA\naABA9+4LMW7cRL+zILrfkw0NnZCXNxju91g4qD0HKAT6vXPohzV549FS+1SruSo965X2VGVSllMB\n11K0lSu6s4UFkn73VZsKJY1vG8WgpHdPuVwn23YLCswuQ+xs49PVtqWk64+J0mlxngBHpaBglUtT\niHO63vlnXftbLBGg2CPD4M6ROXBvJlgpzu30ahPbKHMDzBdbXwJlkZ7A74nARjU4hvkpY/u17089\nvb7OKeO1TnWtA6283WOh/r4w3e8b0/UUt/yl+dR++WtqaqwPP0eKXnn41oY1IEe7I1GgDz73FLtn\nB7jg2pId7ejem0DUrmN6+jQvzQnHrGlz1/Z3taYQ92tge+EYPlxZbdDfNXftuOY+DLBW2refLra+\nBt26veAS/BwvFaesPz9V+vRZEPDcBO7n0veohsBT6v624Zy2D/Ve9hXMQ9kH0/2+MchT3PL3y+2t\nXVKtjVHrutnxItCeze5j220BK9gHqHrHL/Ue3t7ay9U/o32omq+XE3+93j3L/4YArzvVaKfKN998\nY81QKLP4+ZuC1/2Y1MoczUAXiQyUHi+/DPK+MchT3PL2UHKtQWoL8kZ7KATy4PP12WAfoN47uqn3\n6vfsqFcbUpDXWm5vLwNqPz9s2DMezQreMhT+grz7S4Zrk8YpSU+f5nUBJDXhCtBagnC0s1Rq5YmF\n5rFYxSBPcU0tJes5bMl1fLMjXe+6Qlw4HwzRfhAG8uDz1x4frnnufWVL1BaGUU/X14qW1dG0BHnX\ndLxrlsF7Fsg9cK9X3Ydre7zSZm+b8179HrVlDIoF8OyBrkUk7rlYbf+O9u9bLGOQJ0PxfDh7LmJi\n63g3fPgc66IpSoewzMzFHsvBBvPwCEc7djgeVlq35S+Qh3YOtL8ceNuP7fuFheusY+z9z7uvtn/n\ntLxj8hpbcHUd5qf282rD99TGizteWFYLsELS0n4vBQUrvaTy3e9X34vYRCqQe9sHU+Pxh0GeDCWQ\nzkPqKdX19sDsHgi0jj0PVzt2JGtJegSPcGwzlHPi3BmvqqrKZTveJuzx1RnM34uD7TPOs8P5bnrQ\nFuRtnRAjcX/42weDfPxhkCdD8fYgVntwqc9Vv8FnelYt5eu+7WDXH+cD1FO4Xpg82889r30wk8Vo\nKa97hzvXe9R1FcRu3V6QDh1m2f/t/JIQifvD3z5isf070qn6eGsa4GQ4ZChqk8KoTfSyZMkHKCs7\nBveJVWwTfnhTXv6Fy2QbatseNmwjsrJKUV6ubCucE+qQNu7XZd++xwBsAnCX9RP90b37q9bvK9fo\n7bcf1zTBS6ATBKWn70Ru7iyXbdju0YaGejQ09MCuXQvQt29PjBv3JJYs2YS8vE0AmgG4G8DHKC/f\ng759ewa0Xz1onXQpUtQm8Nm8Wb8yRXp/UaPjS4duWJNPXL47UdVZa+9l0q3bC14yAM4TqPgfKuWt\necCfWKwlRVs4O/65t5+HsmCM1vI6T+zju5Oo2uI8rlMuBzPBTajlj/V7MNLZr3jMtjFdT4bl6LDl\nurqct05U3hbPUF4IVosyf/kGcW5jDfdDMd5SgZEQrhcmPYK61vKqN+t43oPO95Vac9Hw4XOkoMBs\nX/1Oj+OIp3uQQd4/BnkyJPeHamZmsUuP7ECCs9LG7qhRuU9hGspDMZ4eqPEmls6t92zSKeuLo+vL\no7efAdZb2/BdpwgOVSydq0BEOvMQb5kOEQZ5Miit46RtNX1fQ7LUa/3rPD4XqFgdc5zo9BjGqDa1\nb0GB2WWMvPuc++4BxXmYn3MH0VBrkvF+H7LjnW8M8mRIWtNqWh5weqXoAiljPD1U4lk4A577tpSA\n7pgv31e63nkbahP2hDPIx0IKmve4foKJfcnR7vhH5E9u7gBkZZUCqAdQb+3hPsDjc669sFOty19u\nC2pberD15p0wYSAmTBiIQYNWwGKxRGTfiUjL/RDstmprJyMnZxGKirZi8+aRSE1N9bsNk8mEt99+\nHFPgZvAAABFsSURBVFlZJwAkA6jH+ee/BCATkb4X9cJ7PPYwyFPMsw31KSraan+ohjLMZdiwC5CT\nswCFhRvDNmRGy8tDOIMORV9W1jUYP34wTCaT6vXPyclAcfEHKC7+wB7o3O/lb799BEVFFZrua4vF\n4rE9d9F8iQV4j8ckHTMLumG6ntT460ijd3tlMJOrxHpv3nhlmyBJGWoX+tLD7veWe+dP22e8TbXr\nb9/+7p1A7t1opst5j+uLbfJkSIE8tHx9NtoPoHjszRuP1GbIC8eiRZ7DOJVFadRWmQvkXlML4O5D\nBKN972rFe1xfnPGODMffrFQWi8WeDrTNXhfoLGaREmszjBmV2gx5qalbQz7XtnuruPgDVFTkAmgE\nUIbKymeRlwesWeN7xrSGhnoUF38AAH5nWrzhhtmorHwWgHLPDxt2QUhljxTe4zFIx5cO3bAmnzh8\n1WACTb+zlpEY9K71OravfVnfzMxip9q/673qbQy9+zBP3rvE3vWUUALt5BPuDnykrTNYpOnd+cyx\n/Qavn3G/17KzO1lr/573qnt5u3dfCKC/y/ZSU1M97l0AMXfuKQbp+NKhG9bkE4ev2ne8tFMaVSxN\nvKI2l7wec9k7d6wrLFxrXRHPf+1ay4pwtm1XVVW5rGbnPrGO7fOxcu4pctjxjgzJ2wOb6ffoipWX\nLF+Lw4RztrtQ9hHIvaqcV+9T5Do+E/1zT5HFjndkSN4607GTDwHqHdeWLNmINWt+CNsyomr7KCnZ\nivHjB2vq6GkymbB+/d2YMGEBAKCoaLyfspgA2LZbH1SZY41aJ1nSH9vkKa7ZXgBsk5JQ5ER74hVf\nduzYE1OTslgsFgwZshZm8ySYzZMwZMjaoCe0sVgsaGioR/fur3r9TKzhTHjRwyBPhhOLncGMSO+O\njFqvo1pQ7Nu3Z9jK4W0fgQTVQDuJepuV0RYs8/LuxL5945GePhuFhRuxfv3dKCnZFrP3PGfCix6m\n68lQ/I2rp/DSa16CQK6jWrMNoIxbLy8fDQDWoDwy6PLo3TRkS2U3NDSgrOwoKioeBHAnqqpKMW6c\n43PuwbKycjaAjRgyZC3veVKnYx8B3bDjHXnDDknGEI7rGEurofnqeOfeqQ9YIs6r1Plbl15Z2S62\n73l2kg0PdrwjIrKKpdkPfWUC3Dv1AfcB2ApHxzuH3NwBMJtdMxR9+/aE2az/MYSCnWSjSMeXDt2w\nJk/esMZgDIl0HdVnvFvn9bjV5gRIlHOV6IKJfUkiItF+0QjUwYMHMWDAAGzbtg0XX3xxtItDMYZD\ndYwhUa6jo/+BUjvPzHwH2dkdkJraXPNxJ8q5SnTBxL6oBPmdO3fi8ccfx7x585CVlQUA2LNnD2bP\nno3k5GT07NkTzzzzjNefZ5AnIiNhkCYtgol9ER9Cd+DAAZSUlOD66693+f7cuXMxc+ZMrFixAqdO\nnUJFRUWki0ZEFBWc74H0EvEg37FjR/zpT39C69at7d9raGjAoUOHcNVVVwEA+vfvjx07dkS6aERE\nMSmUuR84b0Rii3jv+hYtWnh8r6amBueff7793+3atcPx48cjWSwiopikZc4Ab+l+zhtButbky8rK\nMGLECOTk5Nj/3L59u567JCIyFH+zxfmaMpYzzZGuNfns7GxkZ2f7/Vy7du1QU1Nj//fRo0fRsWNH\nPYtGRGQIvhbPIYrq3PW2jv3NmjVD165dsXv3bgDAhx9+iMzMzGgWjYgo4tTaz0OZNz+WFxGiyIj4\nELry8nK8+eab+Oabb9CuXTukpaXhrbfewv79+zFr1iyICK699lo8/fTTXrfBIXREZDTu7edZWY72\nc19D7NzH2WdlLfNY1IbD84whbsbJh4pBnoiMprj4A0yYMBCO6W3rUVSkLe2uNZAz4Me3YGIf564n\nIopzWubpZ0/7xMT15ImIYoDe7eeR6GnPMfmxhzV5IqIYEO8rtTFTEJtYkyciihF6Tm9rhEwBBY41\neSKiBBDvmQIKDoM8EVGC0NJBL1i5uQNgNpe6DOXLzR2py75IOwZ5IiIKGTMFsYlBnoiIwkLPTAEF\nhx3viIiIDIpBnoiIyKAY5ImIiAyKQZ6IiMigGOSJiIgMikGeiIjIoBjkiYiIDIpBnoiIyKAY5ImI\niAyKQZ6IiMigGOSJiIgMikGeiIjIoBjkiYiIDIpBnoiIyKC41CwRGYrFYkFJyTYAQG7uAK5pTgmN\nQZ6IDMNisWDQoBUoLx8DADCbS7F580gGekpYTNcTkWGUlGyzBvhUAKkoLx9tr9UTJSIGeSIiIoNi\nkCciw8jNHYCsrFIA9QDqkZW1DLm5A6JdLKKoYZs8ERmGyWTC5s0jUVKyFQCQm8v2eEpsDPJEZCgm\nkwnjxw+OdjGIYgLT9URERAbFIE9ERGRQDPJEREQGxSBPRERkUAzyREREBsUgT0REZFAM8kRERAbF\nIE9ERGRQDPJEREQGxSBPRERkUAzyREREBsUgT0REZFAM8kRERAbFIE9ERGRQDPJEREQGxSBPRERk\nUAzyREREBsUgT0REZFAM8kRERAbFIE9ERGRQDPJEREQGxSBPRERkUAzyREREBtUs0jtsbGzEjBkz\n8P3336OpqQlTpkxB7969sWfPHsyePRvJycno2bMnnnnmmUgXjYiIyFAiXpN/77330LJlS6xYsQJz\n5szBvHnzAABz587FzJkzsWLFCpw6dQoVFRWRLhoREZGhRDzI33XXXZg6dSoAoF27dqitrUVDQwMO\nHjyIq666CgDQv39/7NixI9JFIyIiMpSIp+tTUlKQkpICAHjnnXfwu9/9DjU1NWjbtq39M+3atcPx\n48cjXTQiIiJD0TXIl5WVYfXq1UhKSoKIICkpCRMnTkRGRgaWL1+O//znPyguLsaJEycC2m5jYyMA\n4MiRI3oUm4iIKObYYp4tBmqha5DPzs5Gdna2x/fLysrwySefYNGiRUhJSUG7du1QU1Nj//+jR4+i\nY8eOXrdrq+WPGjUq/IUmIiKKYcePH8dll12m6bMRT9cfOHAAK1euxPLly5GamqoUolkzdO3aFbt3\n70bv3r3x4YcfYsyYMV63cfXVV2P58uVIS0uzp/6JiIiMrLGxEcePH8fVV1+t+WeSRER0LJOHV155\nBRs3bkTnzp3tKfylS5fiu+++w6xZsyAiuPbaa/H0009HslhERESGE/EgT0RERJHBGe+IiIgMikGe\niIjIoBjkiYiIDCrivevDYd68efjXv/6FpKQkTJ8+Hddcc020ixSwnTt34rHHHkP37t0hIujZsyf+\n+Mc/RrtYmu3duxePPPIIcnNzMWrUKBw5cgSTJ0+GiCAtLQ35+fn20ROxyv0Ypk2bhi+//BIXXHAB\nAGDs2LHIysqKcin9y8/Px+7du9HY2Ig//OEPuOaaa+LuWrgfw8cffxx318JisWDq1Kk4ceIE6uvr\nMWHCBPTq1SuuroXaMWzZsiXuroXN2bNnceedd+KRRx7BTTfdFFfXwsb5GD777LOAr0XcBfldu3bh\nu+++g9lsxv79+zFjxgyYzeZoFysoN954IxYuXBjtYgSsrq4Oc+bMQZ8+fezfW7hwIcaMGYOBAwfi\nlVdewZo1a5CTkxPFUvqmdgwA8NRTT8XNAwwAPvvsM+zfvx9msxknT57E0KFDcdNNN2H06NG47bbb\n4uJaeDuGeLsWH3/8Ma655hqMHTsWhw8fxgMPPIDevXvH1bXwdgzxdi1sFi1aZJ9NNd6eUTbOxwAE\n/oyKu3T9X//6V/zmN78BAHTr1g2nTp3CTz/9FOVSBSdeBza0aNECb775psuERTt37kS/fv0AAP36\n9Yv5tQfUjiEeOb8otmnTBmfOnMGuXbvQv39/APFxLdSOoampKe5+P+644w6MHTsWAHD48GF07tw5\n7q6F2jEA8fms+vrrr/H1118jKysLIoJdu3bF1TMK8DwGIPBrEXdBvrq6Gu3atbP/+4ILLkB1dXUU\nSxS8/fv34+GHH8aoUaPi4oazSU5ORvPmzV2+V1dXZ099tW/fPubXHlA7BgBYtmwZ7r//fkyaNAkn\nT56MQskCk5SUBJPJBABYvXo1br311ri7Fs7HUFZWhltvvRXJyclxdy1scnJyMGXKFEybNi3uroWN\n7RimT58OAFi+fHncXYsXX3zRvhgaEH/PKMD1GJKSkgAEfi3iLl3vLh7fMAHgsssuw6OPPorbb78d\nBw4cwH333YetW7eiWbO4vyRxe03uuusutG3bFr169cLixYvx2muvYebMmdEuliYfffQR1qxZg7fe\negsDBw60fz+ersVHH32EtWvX4q233sKXX34Zt9fCbDZjz549eOqpp1zOfzxdC+djmD59etxdi/Xr\n1+O6667DRRddpPr/8XAt3I9BRIJ6RsVdTb5jx44uNfdjx44hLS0tiiUKTqdOnXD77bcDAC655BJ0\n6NABR48ejXKpgteqVSvU19cD8L/2QKy66aab0KtXLwDAgAEDsHfv3iiXSJuKigosXrwYb775Jlq3\nbh2X18L9GOLxWnz11Vf2BUR69eqFpqamuLsW7sfQ2NiIHj16xN21KC8vx7Zt2zBixAisXr0aixYt\nQsuWLePqWjgfQ1lZGYqKiiAiAV+LuAvyGRkZ2LJlCwDlhuzUqRNatmwZ5VIF7v3338fSpUsBKIsN\nnDhxAp06dYpyqYLXp08f+3XZsmULMjMzo1yiwOXl5eHAgQMAlM5gPXr0iHKJ/Dt9+jReeuklFBcX\n47zzzgMQf9dC7Rji8Vrs2rXL/jtdXV2NM2fOoE+fPti8eTOA+LgWasfwzDPPxN21eOWVV1BWVoaV\nK1finnvuwSOPPBJ318L5GLKzs/Hwww/jz3/+c8DXIi6ntV2wYAF27tyJlJQUzJo1Cz179ox2kQL2\n008/YdKkSfjxxx9x7tw5PProozF/09l89dVXmD9/Pg4fPoxmzZqhU6dOePnllzF16lTU19ejS5cu\nmDdvXkwvHqR2DGPGjMEbb7yBn/3sZ2jVqhXmzp3r0v8jFq1atQqvv/46Lr/8cvtaEC+++CJmzJgR\nN9dC7RjuvvtuLFu2LK6uxdmzZzF9+nQcOXIEZ8+excSJE3HVVVdhypQpcXMt3I/h0UcfRcuWLZGf\nnx9X18LZ66+/josvvhg333xzXF0LZ7Zj6NKlS8DXIi6DPBEREfkXd+l6IiIi0oZBnoiIyKAY5ImI\niAyKQZ6IiMigGOSJiIgMikGeiIjIoOJ/DlUiCsmhQ4cwaNAgXHfddQBgH6uemZmJHj16ICsrCxs2\nbMCdd94JQJmJ67rrrkObNm00bf/7779Hbm4uPv74Y92OgYjUMcgTEdq3b493333X6/+/9tpruOOO\nO5CcnIx33nkHV1xxheYgDzgW1yCiyGKQJyJV06ZNQ+/evXHkyBF89913uP/++5GRkYHPP/8ckydP\nxty5c3Hu3Dm8+OKLOHfuHM6dO4dZs2ahV69e2L17N2bPno327dvjyiuvjPahECUsBnki8iopKQkT\nJ07En/70J7z77rtISkrCqlWr8PLLL+OSSy7B7373OyxatAiXXHIJ9uzZg+nTp2Pt2rXIz8/HlClT\ncPPNN6OkpCTah0GUsBjkiQgnTpzAfffdZ2+PB+Cx8JPz/wHADz/8gG+++QYzZsywL9155swZiAj2\n7t2L3r17A1BW9ystLY3QkRCRMwZ5IlJtk582bZrLv93b1Zs3b44WLVp4bctPTlYG7zQ2NoaxpEQU\nCA6hIyL4W6cqKSkJDQ0NAJTg3dDQgNatW+Oiiy5CeXk5AOCbb77BokWLAADp6en4xz/+AQDYvn27\njiUnIl8Y5InIb+/3zMxMDBs2DAcOHMDNN9+MCRMm4J///Cfy8/OxePFijB49GtOmTUNGRgYA4Kmn\nnsLcuXPx0EMP4cyZM5E4BCJSwaVmiYiIDIo1eSIiIoNikCciIjIoBnkiIiKDYpAnIiIyKAZ5IiIi\ng2KQJyIiMigGeSIiIoNikCciIjKo/w+WEPUQtuUuSgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fitted = reg7.predict(X)\n",
"residuals = y - fitted\n",
"std_residuals = standardize(residuals)\n",
"residuals_vs_fitted(fitted, residuals, \"Fitted\", \"Residuals\")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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OkycVxlYJpmYZxoYOmJxtMFW3wFjdAlMLUOgCUvuOtG9vB+x2/zIQOTmRD9Az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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the different lines. Not that the green line (reg7) follows the distribution\n",
"# better than the red line (reg6).\n",
"ax = boston_df.plot(x=\"lstat\", y=\"medv\", style=\"o\")\n",
"ax.set_ylabel(\"medv\")\n",
"plt.plot(xs, ys6, color='r', linewidth=2.5)\n",
"plt.plot(xs, ys7, color='g', linewidth=2.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Qualitative Predictors"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" Unnamed: 0 | \n",
" Sales | \n",
" CompPrice | \n",
" Income | \n",
" Advertising | \n",
" Population | \n",
" Price | \n",
" ShelveLoc | \n",
" Age | \n",
" Education | \n",
" Urban | \n",
" US | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" 9.50 | \n",
" 138 | \n",
" 73 | \n",
" 11 | \n",
" 276 | \n",
" 120 | \n",
" Bad | \n",
" 42 | \n",
" 17 | \n",
" Yes | \n",
" Yes | \n",
"
\n",
" \n",
" 1 | \n",
" 2 | \n",
" 11.22 | \n",
" 111 | \n",
" 48 | \n",
" 16 | \n",
" 260 | \n",
" 83 | \n",
" Good | \n",
" 65 | \n",
" 10 | \n",
" Yes | \n",
" Yes | \n",
"
\n",
" \n",
" 2 | \n",
" 3 | \n",
" 10.06 | \n",
" 113 | \n",
" 35 | \n",
" 10 | \n",
" 269 | \n",
" 80 | \n",
" Medium | \n",
" 59 | \n",
" 12 | \n",
" Yes | \n",
" Yes | \n",
"
\n",
" \n",
" 3 | \n",
" 4 | \n",
" 7.40 | \n",
" 117 | \n",
" 100 | \n",
" 4 | \n",
" 466 | \n",
" 97 | \n",
" Medium | \n",
" 55 | \n",
" 14 | \n",
" Yes | \n",
" Yes | \n",
"
\n",
" \n",
" 4 | \n",
" 5 | \n",
" 4.15 | \n",
" 141 | \n",
" 64 | \n",
" 3 | \n",
" 340 | \n",
" 128 | \n",
" Bad | \n",
" 38 | \n",
" 13 | \n",
" Yes | \n",
" No | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" Unnamed: 0 Sales CompPrice Income Advertising Population Price \\\n",
"0 1 9.50 138 73 11 276 120 \n",
"1 2 11.22 111 48 16 260 83 \n",
"2 3 10.06 113 35 10 269 80 \n",
"3 4 7.40 117 100 4 466 97 \n",
"4 5 4.15 141 64 3 340 128 \n",
"\n",
" ShelveLoc Age Education Urban US \n",
"0 Bad 42 17 Yes Yes \n",
"1 Good 65 10 Yes Yes \n",
"2 Medium 59 12 Yes Yes \n",
"3 Medium 55 14 Yes Yes \n",
"4 Bad 38 13 Yes No "
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Data from ISLR package: write.csv(Carseats, 'Carseats.csv', col.names=FALSE)\n",
"carseats_df = pd.read_csv(\"Data/Carseats.csv\")\n",
"carseats_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-7.9047879353311146e-14,\n",
" array([ -1.42557855e-16, 1.00000000e+00, -1.51324607e-15,\n",
" -8.39028486e-16, 1.16276211e-14, 1.17428201e-16,\n",
" -8.24114353e-16, 2.72026935e-14, -1.22157652e-15,\n",
" -7.79995372e-16, 7.63669659e-16, 7.49790854e-15,\n",
" -4.63446136e-18, 7.92968489e-17]))"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# convert non-numeric to factors\n",
"carseats_df[\"ShelveLoc\"] = pd.factorize(carseats_df[\"ShelveLoc\"])[0]\n",
"carseats_df[\"Urban\"] = pd.factorize(carseats_df[\"Urban\"])[0]\n",
"carseats_df[\"US\"] = pd.factorize(carseats_df[\"US\"])[0]\n",
"# Sales ~ . + Income:Advertising + Age:Price\n",
"carseats_df[\"Income:Advertising\"] = carseats_df[\"Income\"] * carseats_df[\"Advertising\"]\n",
"carseats_df[\"Age:Price\"] = carseats_df[\"Age\"] * carseats_df[\"Price\"]\n",
"X = carseats_df[carseats_df[1:].columns]\n",
"y = carseats_df[\"Sales\"]\n",
"reg = LinearRegression()\n",
"reg.fit(X, y)\n",
"(reg.intercept_, reg.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
\n",
" \n",
" \n",
" | \n",
" ShelveLoc_0 | \n",
" ShelveLoc_1 | \n",
" ShelveLoc_2 | \n",
" Urban_0 | \n",
" Urban_1 | \n",
" US_0 | \n",
" US_1 | \n",
"
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" \n",
" \n",
" \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
"
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" \n",
" 1 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
"
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" \n",
" 2 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 1 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
"
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" \n",
" 3 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 1 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
"
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" \n",
" 4 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" ShelveLoc_0 ShelveLoc_1 ShelveLoc_2 Urban_0 Urban_1 US_0 US_1\n",
"0 1 0 0 1 0 1 0\n",
"1 0 1 0 1 0 1 0\n",
"2 0 0 1 1 0 1 0\n",
"3 0 0 1 1 0 1 0\n",
"4 1 0 0 1 0 0 1"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# R has a contrasts() function that shows how factors are encoded by default. We can do \n",
"# this manually using scikit-learn's OneHotEncoder\n",
"from sklearn.preprocessing import OneHotEncoder\n",
"\n",
"colnames = [\"ShelveLoc\", \"Urban\", \"US\"]\n",
"enc = OneHotEncoder()\n",
"X = carseats_df[colnames]\n",
"enc.fit(X)\n",
"X_tr = enc.transform(X).toarray()\n",
"colnos = enc.n_values_\n",
"colnames_tr = []\n",
"for (idx, colname) in enumerate(colnames):\n",
" for i in range(0, colnos[idx]):\n",
" colnames_tr.append(colname + \"_\" + str(i))\n",
"col = 0\n",
"for colname_tr in colnames_tr:\n",
" carseats_df[colname_tr] = X_tr[:, col]\n",
" col = col + 1\n",
"del carseats_df[\"ShelveLoc\"]\n",
"del carseats_df[\"Urban\"]\n",
"del carseats_df[\"US\"]\n",
"carseats_df[colnames_tr].head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Writing Functions"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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K8+pxXO82x2rxXDCYbqdo4AI1ZA5JScBDDyk/p04BmzYpC+OsWwfs26c859tvlZ+5c4Em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\ntkzEuaiODows+vR3Pr2Cbl1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RnOpoWv/7n8g//ynSr59IYqJ6oE9KEnn4YZGNG0Ucjqg0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\nBnYiIiILYWAnIiKykP8PhEqRY/1nUZwAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def regplot(x, y, xlabel, ylabel, dot_style, line_color):\n",
" x = x.values\n",
" y = y.values\n",
" reg = LinearRegression()\n",
" X = np.matrix(x).T\n",
" reg.fit(X, y)\n",
" ax = plt.scatter(x, y, marker=dot_style)\n",
" plt.xlabel(xlabel)\n",
" plt.ylabel(ylabel)\n",
" xs = range(int(np.min(x)), int(np.max(x)))\n",
" ys = [reg.predict(x) for x in xs]\n",
" plt.plot(xs, ys, color=line_color, linewidth=2.5)\n",
"\n",
"regplot(carseats_df[\"Price\"], carseats_df[\"Sales\"], \"Price\", \"Sales\", 'o', 'r')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Basics\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3.1 Simple Linear Regression\n",
""
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import statsmodels"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# %load ../standard_import.txt\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib import cm\n",
"from mpl_toolkits.mplot3d import axes3d\n",
"\n",
"from sklearn.preprocessing import scale\n",
"import sklearn.linear_model as skl_lm\n",
"from sklearn.metrics import mean_squared_error, r2_score\n",
"import statsmodels.api as sm\n",
"import statsmodels.formula.api as smf\n",
"\n",
"pd.set_option('display.notebook_repr_html', False)\n",
"pd.set_option('display.max_columns', None)\n",
"pd.set_option('display.max_rows', 150)\n",
"pd.set_option('display.max_seq_items', None)\n",
" \n",
"#%config InlineBackend.figure_formats = {'pdf',}\n",
"%matplotlib inline\n",
"\n",
"import seaborn as sns\n",
"sns.set_context('notebook')\n",
"sns.set_style('white')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Load Datasets\n",
"Datasets available on http://www-bcf.usc.edu/~gareth/ISL/data.html, which is introduced in chapter 2"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
" TV Radio Newspaper Sales\n",
"0 230.1 37.8 69.2 22.1\n",
"1 44.5 39.3 45.1 10.4\n",
"2 17.2 45.9 69.3 9.3\n",
"3 151.5 41.3 58.5 18.5\n",
"4 180.8 10.8 58.4 12.9\n",
"5 8.7 48.9 75.0 7.2\n",
"6 57.5 32.8 23.5 11.8\n",
"7 120.2 19.6 11.6 13.2\n",
"8 8.6 2.1 1.0 4.8\n",
"9 199.8 2.6 21.2 10.6\n",
"10 66.1 5.8 24.2 8.6\n",
"11 214.7 24.0 4.0 17.4\n",
"12 23.8 35.1 65.9 9.2\n",
"13 97.5 7.6 7.2 9.7\n",
"14 204.1 32.9 46.0 19.0\n",
"15 195.4 47.7 52.9 22.4\n",
"16 67.8 36.6 114.0 12.5\n",
"17 281.4 39.6 55.8 24.4\n",
"18 69.2 20.5 18.3 11.3\n",
"19 147.3 23.9 19.1 14.6\n",
"20 218.4 27.7 53.4 18.0\n",
"21 237.4 5.1 23.5 12.5\n",
"22 13.2 15.9 49.6 5.6\n",
"23 228.3 16.9 26.2 15.5\n",
"24 62.3 12.6 18.3 9.7\n",
"25 262.9 3.5 19.5 12.0\n",
"26 142.9 29.3 12.6 15.0\n",
"27 240.1 16.7 22.9 15.9\n",
"28 248.8 27.1 22.9 18.9\n",
"29 70.6 16.0 40.8 10.5\n",
"30 292.9 28.3 43.2 21.4\n",
"31 112.9 17.4 38.6 11.9\n",
"32 97.2 1.5 30.0 9.6\n",
"33 265.6 20.0 0.3 17.4\n",
"34 95.7 1.4 7.4 9.5\n",
"35 290.7 4.1 8.5 12.8\n",
"36 266.9 43.8 5.0 25.4\n",
"37 74.7 49.4 45.7 14.7\n",
"38 43.1 26.7 35.1 10.1\n",
"39 228.0 37.7 32.0 21.5\n",
"40 202.5 22.3 31.6 16.6\n",
"41 177.0 33.4 38.7 17.1\n",
"42 293.6 27.7 1.8 20.7\n",
"43 206.9 8.4 26.4 12.9\n",
"44 25.1 25.7 43.3 8.5\n",
"45 175.1 22.5 31.5 14.9\n",
"46 89.7 9.9 35.7 10.6\n",
"47 239.9 41.5 18.5 23.2\n",
"48 227.2 15.8 49.9 14.8\n",
"49 66.9 11.7 36.8 9.7\n",
"50 199.8 3.1 34.6 11.4\n",
"51 100.4 9.6 3.6 10.7\n",
"52 216.4 41.7 39.6 22.6\n",
"53 182.6 46.2 58.7 21.2\n",
"54 262.7 28.8 15.9 20.2\n",
"55 198.9 49.4 60.0 23.7\n",
"56 7.3 28.1 41.4 5.5\n",
"57 136.2 19.2 16.6 13.2\n",
"58 210.8 49.6 37.7 23.8\n",
"59 210.7 29.5 9.3 18.4\n",
"60 53.5 2.0 21.4 8.1\n",
"61 261.3 42.7 54.7 24.2\n",
"62 239.3 15.5 27.3 15.7\n",
"63 102.7 29.6 8.4 14.0\n",
"64 131.1 42.8 28.9 18.0\n",
"65 69.0 9.3 0.9 9.3\n",
"66 31.5 24.6 2.2 9.5\n",
"67 139.3 14.5 10.2 13.4\n",
"68 237.4 27.5 11.0 18.9\n",
"69 216.8 43.9 27.2 22.3\n",
"70 199.1 30.6 38.7 18.3\n",
"71 109.8 14.3 31.7 12.4\n",
"72 26.8 33.0 19.3 8.8\n",
"73 129.4 5.7 31.3 11.0\n",
"74 213.4 24.6 13.1 17.0\n",
".. ... ... ... ...\n",
"125 87.2 11.8 25.9 10.6\n",
"126 7.8 38.9 50.6 6.6\n",
"127 80.2 0.0 9.2 8.8\n",
"128 220.3 49.0 3.2 24.7\n",
"129 59.6 12.0 43.1 9.7\n",
"130 0.7 39.6 8.7 1.6\n",
"131 265.2 2.9 43.0 12.7\n",
"132 8.4 27.2 2.1 5.7\n",
"133 219.8 33.5 45.1 19.6\n",
"134 36.9 38.6 65.6 10.8\n",
"135 48.3 47.0 8.5 11.6\n",
"136 25.6 39.0 9.3 9.5\n",
"137 273.7 28.9 59.7 20.8\n",
"138 43.0 25.9 20.5 9.6\n",
"139 184.9 43.9 1.7 20.7\n",
"140 73.4 17.0 12.9 10.9\n",
"141 193.7 35.4 75.6 19.2\n",
"142 220.5 33.2 37.9 20.1\n",
"143 104.6 5.7 34.4 10.4\n",
"144 96.2 14.8 38.9 11.4\n",
"145 140.3 1.9 9.0 10.3\n",
"146 240.1 7.3 8.7 13.2\n",
"147 243.2 49.0 44.3 25.4\n",
"148 38.0 40.3 11.9 10.9\n",
"149 44.7 25.8 20.6 10.1\n",
"150 280.7 13.9 37.0 16.1\n",
"151 121.0 8.4 48.7 11.6\n",
"152 197.6 23.3 14.2 16.6\n",
"153 171.3 39.7 37.7 19.0\n",
"154 187.8 21.1 9.5 15.6\n",
"155 4.1 11.6 5.7 3.2\n",
"156 93.9 43.5 50.5 15.3\n",
"157 149.8 1.3 24.3 10.1\n",
"158 11.7 36.9 45.2 7.3\n",
"159 131.7 18.4 34.6 12.9\n",
"160 172.5 18.1 30.7 14.4\n",
"161 85.7 35.8 49.3 13.3\n",
"162 188.4 18.1 25.6 14.9\n",
"163 163.5 36.8 7.4 18.0\n",
"164 117.2 14.7 5.4 11.9\n",
"165 234.5 3.4 84.8 11.9\n",
"166 17.9 37.6 21.6 8.0\n",
"167 206.8 5.2 19.4 12.2\n",
"168 215.4 23.6 57.6 17.1\n",
"169 284.3 10.6 6.4 15.0\n",
"170 50.0 11.6 18.4 8.4\n",
"171 164.5 20.9 47.4 14.5\n",
"172 19.6 20.1 17.0 7.6\n",
"173 168.4 7.1 12.8 11.7\n",
"174 222.4 3.4 13.1 11.5\n",
"175 276.9 48.9 41.8 27.0\n",
"176 248.4 30.2 20.3 20.2\n",
"177 170.2 7.8 35.2 11.7\n",
"178 276.7 2.3 23.7 11.8\n",
"179 165.6 10.0 17.6 12.6\n",
"180 156.6 2.6 8.3 10.5\n",
"181 218.5 5.4 27.4 12.2\n",
"182 56.2 5.7 29.7 8.7\n",
"183 287.6 43.0 71.8 26.2\n",
"184 253.8 21.3 30.0 17.6\n",
"185 205.0 45.1 19.6 22.6\n",
"186 139.5 2.1 26.6 10.3\n",
"187 191.1 28.7 18.2 17.3\n",
"188 286.0 13.9 3.7 15.9\n",
"189 18.7 12.1 23.4 6.7\n",
"190 39.5 41.1 5.8 10.8\n",
"191 75.5 10.8 6.0 9.9\n",
"192 17.2 4.1 31.6 5.9\n",
"193 166.8 42.0 3.6 19.6\n",
"194 149.7 35.6 6.0 17.3\n",
"195 38.2 3.7 13.8 7.6\n",
"196 94.2 4.9 8.1 9.7\n",
"197 177.0 9.3 6.4 12.8\n",
"198 283.6 42.0 66.2 25.5\n",
"199 232.1 8.6 8.7 13.4\n",
"\n",
"[200 rows x 4 columns]"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"advertising = pd.read_csv('Data/Advertising.csv', usecols=[1,2,3,4])\n",
"advertising"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
" Income Limit Rating Cards Age Education Gender Student Married \\\n",
"0 14.891 3606 283 2 34 11 Male No Yes \n",
"1 106.025 6645 483 3 82 15 Female Yes Yes \n",
"2 104.593 7075 514 4 71 11 Male No No \n",
"\n",
" Ethnicity Balance Student2 \n",
"0 Caucasian 333 0 \n",
"1 Asian 903 1 \n",
"2 Asian 580 0 "
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"credit = pd.read_csv('Data/Credit.csv', usecols=list(range(1,12)))\n",
"credit['Student2'] = credit.Student.map({'No':0, 'Yes':1})\n",
"credit.head(3)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Int64Index: 392 entries, 0 to 396\n",
"Data columns (total 9 columns):\n",
"mpg 392 non-null float64\n",
"cylinders 392 non-null int64\n",
"displacement 392 non-null float64\n",
"horsepower 392 non-null float64\n",
"weight 392 non-null int64\n",
"acceleration 392 non-null float64\n",
"year 392 non-null int64\n",
"origin 392 non-null int64\n",
"name 392 non-null object\n",
"dtypes: float64(4), int64(4), object(1)\n",
"memory usage: 30.6+ KB\n"
]
}
],
"source": [
"auto = pd.read_csv('Data/Auto.csv', na_values='?').dropna()\n",
"auto.info()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figure 3.1 - Least squares fit"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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7cPR0LSxWO8q/aITTbbJ1XEwkiublwGQ0YMGN6YiIUM/0rWBjcBOpiVLOIY9WnlC1eAOt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\nszln8QAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.regplot(advertising.TV, advertising.Sales, order=1, ci=None, scatter_kws={'color':'r'})\n",
"plt.xlim(-10,310)\n",
"plt.ylim(ymin=0);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Residual sum of squares \n",
"\n",
"
\n",
""
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"14.0225\n",
"[ 0.04753664]\n",
"0.61187505085\n"
]
}
],
"source": [
"# Regression coefficients (Ordinary Least Squares)\n",
"regr = skl_lm.LinearRegression()\n",
"\n",
"X = scale(advertising.TV, with_mean=True, with_std=False).reshape(-1,1)\n",
"y = advertising.Sales\n",
"\n",
"regr.fit(X,y)\n",
"print(regr.intercept_)\n",
"print(regr.coef_)\n",
"print(regr.score(X,y))"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.1025305831313514"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create grid coordinates for plotting\n",
"B0 = np.linspace(regr.intercept_-2, regr.intercept_+2, 50)\n",
"B1 = np.linspace(regr.coef_-0.02, regr.coef_+0.02, 50)\n",
"xx, yy = np.meshgrid(B0, B1, indexing='xy')\n",
"Z = np.zeros((B0.size,B1.size))\n",
"\n",
"# Calculate Z-values (RSS) based on grid of coefficients\n",
"for (i,j),v in np.ndenumerate(Z):\n",
" Z[i,j] =((y - (xx[i,j]+X.ravel()*yy[i,j]))**2).sum()/1000\n",
"\n",
"# Minimized RSS\n",
"min_RSS = r'$\\beta_0$, $\\beta_1$ for minimized RSS'\n",
"min_rss = np.sum((regr.intercept_+regr.coef_*X - y.reshape(-1,1))**2)/1000\n",
"min_rss"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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hISGsXLmSJUuWsG7dOj7++GM++ugj/P39WbBgAffff3+9z2UymeocyRWqkhBFUaioqKi1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o8R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\nTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(15,6))\n",
"fig.suptitle('RSS - Regression coefficients', fontsize=20)\n",
"\n",
"ax1 = fig.add_subplot(121)\n",
"ax2 = fig.add_subplot(122, projection='3d')\n",
"\n",
"# Left plot\n",
"CS = ax1.contour(xx, yy, Z, cmap=cm.Set1, levels=[2.15, 2.2, 2.3, 2.5, 3])\n",
"ax1.scatter(regr.intercept_, regr.coef_[0], c='r', label=min_RSS)\n",
"ax1.clabel(CS, inline=True, fontsize=10, fmt='%1.1f')\n",
"\n",
"# Right plot\n",
"ax2.plot_surface(xx, yy, Z, rstride=3, cstride=3, alpha=0.3)\n",
"ax2.contour(xx, yy, Z, zdir='z', offset=Z.min(), cmap=cm.Set1, alpha=0.4, levels=[2.15, 2.2, 2.3, 2.5, 3])\n",
"ax2.scatter3D(regr.intercept_, regr.coef_[0], min_rss, c='r', label=min_RSS)\n",
"ax2.set_zlabel('RSS')\n",
"ax2.set_zlim(Z.min(),Z.max())\n",
"ax2.set_ylim(0.02,0.07)\n",
"\n",
"# settings common to both plots\n",
"for ax in fig.axes:\n",
" ax.set_xlabel(r'$\\beta_0$', fontsize=17)\n",
" ax.set_ylabel(r'$\\beta_1$', fontsize=17)\n",
" ax.set_yticks([0.03,0.04,0.05,0.06])\n",
" ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- standard error\n",
"\n",
"
\n",
"\n",
"\n",
"It can define confidence level, t statistic, and p-value\n",
"\n",
"### Confidence interval on page 67 & Table 3.1 & 3.2 (Statsmodels) (Intercept and Slope respectively?)"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 7.0326 | 0.458 | 15.360 | 0.000 | 6.130 7.935 | \n",
"
\n",
"\n",
" TV | 0.0475 | 0.003 | 17.668 | 0.000 | 0.042 0.053 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Sales ~ TV', advertising).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2.1025305831313514"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# RSS with regression coefficients\n",
"((advertising.Sales - (est.params[0] + est.params[1]*advertising.TV))**2).sum()/1000"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- The accuracy of model dependes on Residual Standard Error or $R^2$ statistic \n",
"\n",
"### Table 3.1 & 3.2 (Scikit-learn)"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"7.03259354913\n",
"[ 0.04753664]\n"
]
}
],
"source": [
"regr = skl_lm.LinearRegression()\n",
"\n",
"X = advertising.TV.reshape(-1,1)\n",
"y = advertising.Sales\n",
"\n",
"regr.fit(X,y)\n",
"print(regr.intercept_)\n",
"print(regr.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.61187505085007099"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Sales_pred = regr.predict(X)\n",
"r2_score(y, Sales_pred)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multiple Linear Regression\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.3 (Statsmodels)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 9.3116 | 0.563 | 16.542 | 0.000 | 8.202 10.422 | \n",
"
\n",
"\n",
" Radio | 0.2025 | 0.020 | 9.921 | 0.000 | 0.162 0.243 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Sales ~ Radio', advertising).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 12.3514 | 0.621 | 19.876 | 0.000 | 11.126 13.577 | \n",
"
\n",
"\n",
" Newspaper | 0.0547 | 0.017 | 3.300 | 0.001 | 0.022 0.087 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Sales ~ Newspaper', advertising).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.4 & 3.6 (Statsmodels)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"OLS Regression Results\n",
"\n",
" Dep. Variable: | Sales | R-squared: | 0.897 | \n",
"
\n",
"\n",
" Model: | OLS | Adj. R-squared: | 0.896 | \n",
"
\n",
"\n",
" Method: | Least Squares | F-statistic: | 570.3 | \n",
"
\n",
"\n",
" Date: | Tue, 22 Mar 2016 | Prob (F-statistic): | 1.58e-96 | \n",
"
\n",
"\n",
" Time: | 06:40:13 | Log-Likelihood: | -386.18 | \n",
"
\n",
"\n",
" No. Observations: | 200 | AIC: | 780.4 | \n",
"
\n",
"\n",
" Df Residuals: | 196 | BIC: | 793.6 | \n",
"
\n",
"\n",
" Df Model: | 3 | | | \n",
"
\n",
"\n",
" Covariance Type: | nonrobust | | | \n",
"
\n",
"
\n",
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 2.9389 | 0.312 | 9.422 | 0.000 | 2.324 3.554 | \n",
"
\n",
"\n",
" TV | 0.0458 | 0.001 | 32.809 | 0.000 | 0.043 0.049 | \n",
"
\n",
"\n",
" Radio | 0.1885 | 0.009 | 21.893 | 0.000 | 0.172 0.206 | \n",
"
\n",
"\n",
" Newspaper | -0.0010 | 0.006 | -0.177 | 0.860 | -0.013 0.011 | \n",
"
\n",
"
\n",
"\n",
"\n",
" Omnibus: | 60.414 | Durbin-Watson: | 2.084 | \n",
"
\n",
"\n",
" Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 151.241 | \n",
"
\n",
"\n",
" Skew: | -1.327 | Prob(JB): | 1.44e-33 | \n",
"
\n",
"\n",
" Kurtosis: | 6.332 | Cond. No. | 454. | \n",
"
\n",
"
"
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: Sales R-squared: 0.897\n",
"Model: OLS Adj. R-squared: 0.896\n",
"Method: Least Squares F-statistic: 570.3\n",
"Date: Tue, 22 Mar 2016 Prob (F-statistic): 1.58e-96\n",
"Time: 06:40:13 Log-Likelihood: -386.18\n",
"No. Observations: 200 AIC: 780.4\n",
"Df Residuals: 196 BIC: 793.6\n",
"Df Model: 3 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [95.0% Conf. Int.]\n",
"------------------------------------------------------------------------------\n",
"Intercept 2.9389 0.312 9.422 0.000 2.324 3.554\n",
"TV 0.0458 0.001 32.809 0.000 0.043 0.049\n",
"Radio 0.1885 0.009 21.893 0.000 0.172 0.206\n",
"Newspaper -0.0010 0.006 -0.177 0.860 -0.013 0.011\n",
"==============================================================================\n",
"Omnibus: 60.414 Durbin-Watson: 2.084\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 151.241\n",
"Skew: -1.327 Prob(JB): 1.44e-33\n",
"Kurtosis: 6.332 Cond. No. 454.\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Sales ~ TV + Radio + Newspaper', advertising).fit()\n",
"est.summary()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.5 - Correlation Matrix"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/seaborn/linearmodels.py:1283: UserWarning: The `corrplot` function has been deprecated in favor of `heatmap` and will be removed in a forthcoming release. Please update your code.\n",
" warnings.warn((\"The `corrplot` function has been deprecated in favor \"\n",
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/seaborn/linearmodels.py:1349: UserWarning: The `symmatplot` function has been deprecated in favor of `heatmap` and will be removed in a forthcoming release. Please update your code.\n",
" warnings.warn((\"The `symmatplot` function has been deprecated in favor \"\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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s2DFOnTpFv379mDx5MuvWrePNN99UV08AKDANy1tprV27lvDwcJYvX87jjz/O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\niAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Using the seaborn correlation plot.\n",
"sns.corrplot(advertising)"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 1. , 0.543, -0.257, ..., 0.972, 0.998, 0.976],\n",
" [ 0.543, 1. , 0.629, ..., 0.364, 0.501, 0.373],\n",
" [-0.257, 0.629, 1. , ..., -0.469, -0.316, -0.458],\n",
" ..., \n",
" [ 0.972, 0.364, -0.469, ..., 1. , 0.986, 1. ],\n",
" [ 0.998, 0.501, -0.316, ..., 0.986, 1. , 0.988],\n",
" [ 0.976, 0.373, -0.458, ..., 1. , 0.988, 1. ]])"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Using Numpy\n",
"np.corrcoef(advertising, rowvar=None).round(3)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Some Important Issues\n",
"\n",
"\n",
"### Figure 3.5 - Multiple Linear Regression"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.18799423 0.04575482]\n",
"2.92109991241\n"
]
}
],
"source": [
"regr = skl_lm.LinearRegression()\n",
"\n",
"X = advertising[['Radio', 'TV']].as_matrix()\n",
"y = advertising.Sales\n",
"\n",
"regr.fit(X,y)\n",
"print(regr.coef_)\n",
"print(regr.intercept_)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
" Radio TV\n",
"count 200.000000 200.000000\n",
"mean 23.264000 147.042500\n",
"std 14.846809 85.854236\n",
"min 0.000000 0.700000\n",
"25% 9.975000 74.375000\n",
"50% 22.900000 149.750000\n",
"75% 36.525000 218.825000\n",
"max 49.600000 296.400000"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# What are the min/max values of Radio & TV?\n",
"# Use these values to set up the grid for plotting.\n",
"advertising[['Radio', 'TV']].describe()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Create a coordinate grid\n",
"Radio = np.arange(0,50)\n",
"TV = np.arange(0,300)\n",
"\n",
"B1, B2 = np.meshgrid(Radio, TV, indexing='xy')\n",
"Z = np.zeros((TV.size, Radio.size))\n",
"\n",
"for (i,j),v in np.ndenumerate(Z):\n",
" Z[i,j] =(regr.intercept_ + B1[i,j]*regr.coef_[0] + B2[i,j]*regr.coef_[1])"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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mzRq4XC5kZGSgbdu2uOuuu3DrrbfKk3cAwPTp02E2m/Hdd99h48aN6NSpE955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\nGYBMJs7q6hwzM9UerI09f4PB9/B4pvF6hxs6TjUsLb1Bf/8jeDytia5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dB3eUOQiSyTCx\nWIyJibN5WZFSuPaLLiYqVnt6y1ZT03L5e0D5fpY2PDILs4X8uS8AKb7ylTMMDzdGx/ywY7fn0tbW\nFv397//mQQ8LDol3k1BeMFmLl3cj0erIb7n0opJcolaHkv2O20zUg9hW6jJZi8a9krzFJN3vEA73\nomlJm3Y2lye4RqEozIy0qbYHvGB7oBc1qLmcgqrqhYh78VgLBTcD67Xl5bsMDs4QCoURhHBeTlCM\nyJo6WvtrRXmBKEoYRie5nCff/tos1uzslEtkCLJcet6YsgiBVCqCqr7NU099Yd/fS2TlMn0DRU32\nRs6N+9QptGvX6MoT6A1BYOToY9vO30RiE1V1MTv7zL7Grgfm53/M+PgjVTsdiqKIfPo0q9eukd7c\nRNra4uTYGLFXXmHz7NkD671Nf+oHTE/vvd135L33mMxmQZZpAwI3bqCfOLHnKLyqqiwv32N6ertz\nSL0giiK67RwzAKPsnFtfv4UounfsEJrJZHBcvowPAxwyPeFNbl+5wszHP15RsmJFyO23OVPnnSKd\nNgkqaETW1+Gn/0C/qhDKBpFX0yx7RZJjIwWdvJC3xjRlQzpW107DoHDtW97u9l2zy4lKj4lU2Nai\nFKmYmcpmU4RCIUZHj7G0dKOghTfvAUUZkSi2FTTy9h9ZduS3qzKsbKolT9K0OBcu6MzMfDga5OyE\navfDSCTCsWP1kV4d4pB4Nw3llfAPE/Ft5fh2S0Dr9ba2toZJcFq93/sZt5Yuk5VQbV91Xef737/G\ntWs6ohhBFE3yKstOBMGNKMo4HBZ5lUsI706TILM9d462tp1rFpaWLnP69O/R3r6/qJqum+2vrSif\n+QAtSlUqpefN13WSyShraxeZnHy0xCvfmijYf3aCUBZhFA0Dd0cHqZMn2VxbQxegY2Jy2/FKpWJs\nbGwxNfXxfe17PTA//xN8vt31uz1jYxijo6z+7Gf4usz0ezcQvHsHDkC8FSVDIDDH7Oz5fX1eLPPQ\nlnU9n92o/X6h6zpLS3NMTr6wr/uMSWKVQham6Cet5iepxUZHS/06w8sLyKKB3+1hoP8ofv9lDEMj\nFguRzSoMDPjw+zfzZBbKW9KnUkn0xB38YvGRHd4Ap78di/TaZUTW50znFAFVNY+ZKFrNjkz3kvXl\nZU4oENFjOCSNk1Ifd5MCvb1T+UJMR1OlkKqqsLR0nWee+Z0DrSeVSLL069cQDBh68gm6Bwa2LSMI\nAqqa4cyZLKdOVe7Q+mHBodSkuTgk3k1C+QndagLY6oi7td/RvAevnXB/EG0U9zputaJSS6pUyzGq\ntIyu6/zwh7eJRI4xMdEYB5Gd9nFp6TI9PSf3RbpNezbTFzybSpPb2kJwOukf9xWK6LZ70VrRNR3Q\nWF+/xOzsWWptiFKNkOuDQ+RWVnBIIhlNQ8j7zHq8Xjzeym3eTfeQNaanP7Hnfa8XFhZ+ztDQBC5X\nbfpdQRCQyoiXcIBLx4wyv8P09NMlrxUJbLG407LdMwydbDbDxtwNBDVLWpbZjC/RbYCGwdrAIEPB\nayUZFnOThfw61ILUz3wfAgE/w8OnWVu7WhKZNVvT2yLUhmB736oVEADRZr0nFTIvZidPZ4nlXt//\nc4RwIIiu5HhiZqYwSYxGgwiCB5/vsV2Pm2EY3JkJM7q6iijAqiQxde6zDPhqmwCpqjkhKBJpM0Lu\ncXWzfvUtujJxxhy9rEsSPZPTiKJckGTA/iane4XpbnR1X82z7FAUhfn/9V0eX18HBG7NzSF+/WsF\nVxPr9qRpCidORDl//nj1lX1IsBvxjkaj9PX1NXOTPtA4JN4twsOgsW72+BaZtDcKEkURt9vdsEZB\n5Wi1q8lu2GuXyVrXaf3+8Y/vEAxONMS2b7dt8/uv0N39CJ2de9MKapqGquYKxyOXziAtLtJu6IiC\nSFRR6D5yZMd1KEqG9fXXmJ09sy2Ct1NDlGqEvGt8nFhbG0YqhaO7G+8uDyUzyru8a6vrg6JIYhU0\nTSWbTZPLZZAkidXVy7S3txGLrbK15c932tQKOvb83mE1NbL+j3ZkiK08oF0USOoGmSNHyAXe2zZ2\nqbSgqIe3/tc0neXl24yPH8fvnyu+U2K7Z2nhTUcSWW5HlmU2X3+ZR+NJZFEiisrWk59G1HXEtjbO\nPfJI1XPPPHfUEleThYX3OH36S3g8jWsIUo7RmVJ/+GRyk62tAJOTT9X0eUEQmP3C57l36RKiouCZ\nmWVgT1mHIrGyF3W6PCKJp8aQlj3cMQzk04/im5ra07WwubJC3O/HMzjA6JGj+77HLi5eYWLi/IHv\nTf5bt3l0bQ3yMpYT8TjXr12j67nnCsvous7Y2BrPP7/7pOfDgMOId3NxSLybhGoR71ZFnK1taAbx\nrtSZ0xq7vb290AClGWh1pqHauJVcXHbrMrkbSiN3Bv/yL7dZXva1xLYvELhKR8cMXV3bU77VoGla\nvgGJlSaXcDgc5EIhuhwOFCULgoA7HkNVc4hi5Qe2qir4/S9z9OgTFdPmlaJ3ZuTV6uCnkctlC+Tf\nJLYaup7DcGhosQSh6AJWd01BEJAkswGJuS6NYHANn+8MweDbZuFlXhtv198X/Z9Lt69YGFfU1du2\n3vY++YhrsQmKWVgqEg5fp6dnCK+3t4TcWg1RdsL4+BmiMyEym5v09/TQvc8ucvfvX+T8+c/v2aIu\nmUwyGk/hls3P9WNKL0Y+Untk1DrGS0tz9Pc/XRPpjm5sEPf7cXi9DE3Xz1nD1Lff3HNkV5YdTO9h\nn3ffjjih0CUef/Yzuy5bbXIavHmTjp//nJNqjggCd55+mqlnntlzhHxx8R2Ghx+vqdB6N7g62kkJ\nAlbeScVAsDXP0nUdr9fPiy+ealkg5v2GaDRKd3drC24/SDgk3i1CqwmgtQ2NHN8ik+l0eltnTktG\n0So8LFKTZri4GIbBz39+h/n5sarFdI1EMHgVp3MIj8dLKrVV4k5i/lby0VezXbWqKnmiaxZ2mR0w\n5XyBFSQ31ohH4+RyGQRRRgWcQQVRFPKyEvvx1lhYuMzIyBirq3PYtbCl0gHrWBU7cZrEwV64ZWpe\nBcGF2f1PwHSOEG1FXqXE3pRW3OaJJ76Gw2EVfdU/TV8NiqKwsvIWQ0PD9PUN73s93oEBvBV0srVi\nfv5NxsZO78sX2uFwkLRdC4ZhoDv3bj8ZCNzC632Mjo7dU+ahpSWkX/yCvkyala0o746OcuQLXziw\no4uqKgSDbzM11dpOfOZ2/JKZmbO7L0zlySmAPjfHiKaBINJjGKzNzcEzz+xJvhUM3qC7+xhud0eZ\n7EjLu5co+d+5QqF3Npth6Y3XENNp5LFRho8fK05YZbg428XA7dvIhk5wYoIjow78/ncQBOjqUvid\n33myJTa+Dyt2i3irqtrUANkHHYfEu0l42DTe1jY0IuJeqYNiOZksFrw9HAS4WeNasAh3Op0ubEu9\nXVysMf/6r3/O3bsykrRuK9iydLClUdbidpaSUYuoWm4GdmcDi+jmcjlyORWn04mYLwILhe7T1jaK\n15tkY2OxUMhZbIDixuHoyEsLhDzZFvPRbRmHw7ntAakNq8Ru3sSVSqILIrrPR9foKKbrSvF7tSzz\nHn/8U/nW9Y2TM1nfYXlqfnn5JmNjn0QQQFVzheWLVm9Cnow0hpCHQteQZXVHx4xGY3HxbQYGjtPW\n1r6vzzudTvQnniDwzhXaciqR/j58Zx/f0zrW1x/gdh/D661t8pGZm2Mom2UjuMIJXSd97x6BH/wA\n+Xd+hza3ez+7gaqqLC7+mqmpZxtG+uy2m1ahp66rZDIpVFXJ22SqLC6+yujoDMHgLTTN/Ezx3BML\nmZXy1yxLTculKJSO0J6NgSAQyGSJxDZY/du/ZuDJc7g7uwr3B/OasLI3xSxNOPwAp9NDNusnHPbb\nsjCOfPZGwur2aWnnRVFi+Z++x8cWAsiCQGQhxubACSYfL54TE199ks2NMJqmcnxwsLAfkrTCSy8N\n4XDsvxfEBxG7Ee9D1BeHxLuJsEeYHxbibW1DPS44u0PJbmSylfvfLIlNJei6Tjqd3tZlslEuLq+/\nvkAqdZ7p6f2Rnr1AVXMoioLT6UKWZdbWbjE19VH6+qZ2/Jzpy20W0TkcZhFpJcJtQZJluk6eJBLe\nwOlqo6tKMaNpmXcCs6V3Y7/v4oO9eJ4vLd1gevpFnE7XrlZvxfXUj5CHQjeBJP39e+/6Vy/4/Vfp\n7p46sC/08PHjqLOzKIrCpNu9p+MRCi3icPjo7a29EDGn5QjENhhXUyTQSQDdW0HuvvMqw0dnTJmR\nodqIroYlNSpOWkvvq4HAHMPDR1ldvYLdtQRKfeIr7ZpFWIv/l8uNikWfZkRZLkiKBEHOF4224XS2\n4fdf4vjx38blchfI7U7ys7WlJeLr6wzNztJZpvOVP+5D/+EPIRplNhWlu70dh1/mvbSf0T/8w233\nffs1EArdoq3tOP39E2z33c7vWSGrVLweMpksI6vruPKT+34DVu/chcdLJ2O9/eWZjRCf/ewQ7e2e\nvJ3gIcm0cEi8m4tD4t0iWDeSVmu84eDEe6eGLtXI04eNeFvjVesy2Qi88cYCt28P0tHRrPbHxXMo\nFLqLKHbS1zdFKhZDU1U6erqxfHshT3ByuUJxnyTJeTnG7sdDFEU8HR1VswNFy7y2gm1gMzE//x5j\nY8/jcpnR0fLNrNV72cJeCXk4fBdV3WBgwNeSa0xVVYLBG7hcnTgcMolEOB991WwSAq3Q+MSUGlmt\n6Msjr1Y3zmJXTiviahUKgn254jEJh1dQFInBwQ78/rcoRlvLM1D2/0XSYx2Ebyu49QyiIGJ4uskZ\nIs6OXlyu7hKLTctmcyfyurDwKmfP/h5tbdW7bDYS1sR2ZeUSR448X/N2PHj9dQYuXsTLeqVHAAAg\nAElEQVSnaSxevEj6pZcYnJwsvD985AjRf/NvuPP97/MMIDnMYzC8vk40GqW3t7QhjXX+bm0tousx\nxsZMb+hiVFzHamJVvCZKJSuGYZB0uSB/XRuGgdrWVnXSAqBpm7z4Yhf9/d0tuR887NjpHqFpWkOK\n8T/MOCTeTUQ54Wtl5BUO7qxS7i9da0MX+PAQ7/JJCYDb7W64beLFi/PMzfXhcMhNP8YbG/cQBA9D\nQ0fYvHePrq0IkiAS8TvwnjqFVWxrJ9xOp6OElO+GnY7dwsJPGRqaLFjmNfs6W1i4ztDQRyuSG7No\nU8vrJbd3J0wnk8Q3NnB1deFyu2wFnoqtuZFWkBKYDU1UQAPMTriJRJh0eoXBQR9+/waGYeB0Wh36\nzONmekXbr0Nz/EqFnUU9vP21yvr4/FoIhwO4XLM4HIPE4zKC0J6XE5lRWIfD0szLZSS2fpPQaNSP\nrncwOHgCWXbsjTxMQGL2SW7/4AdMbITRcjmCri76MzodHb172s6lpTfo7z/dMtJtwe+/zNDQqZq3\nwzAMhHffoc8MlzOVyXDr7bdKiDeAt7eX7mPHMNbWCq9F29sZbq9sWZlIhIjFFpiYeLTwmiVjgfII\n+XZCLssC8ic+wbWXX6YznWFtZJiZ5z6OomQrRshVNcZzzzkYHx8o7Jc55mF0txyVjsnW1hbeKlnF\nhw2KorC0tERXVxd9fX3cvXsXh8PB7Ozs7h9uIg6JdwthRbzrJfXYz/iwN/JbzV+6loYuBx27XrBI\nQyOPu6ZppNPpkiYtJgFy4t6nRrRWXL68wLvvdiHLbabzR5U0br0hCALh8AKC4MLnO046kaBzcxOn\nw/QE9mYyBG7dwuvz4XDI+yLc5Sg/fRYXX6a/fxSPp6PQ5CSbzeRlMGJeB66iaSZh1TQtH3E18tIB\nK8JWLepajDJXirqurNzG6x1ic/NtIpH8GvKt6LcCfowH88i6RtrbTe+jp0r2PR7ewLh5C68Am7qA\ndvQoPWNjWAWclvZdkoT858yxJamt4FJiduUUOHr00yUZNcv7vRn3mVBoEZ/vWQYGjjZ8rGpIJjeI\nRlcZHT2Lpqn7WkdHZxdPfPkr3Hn9dYbee49nRAH13Xe5F48x+xufqmkdgcBbeL0zLW/BvrZ2lfb2\ncdrb99gSvfzWUeVWMvPRj3JtI0T7wiI5lwvP88/hcm3PtJlOKu8yPf1ETcNXI+QzT55DPXOWTCbN\noNudJ+hWfUUxQq6qSZ54Is34+CSZTMbsJJq/JloZ9HrYsNOz8P1gJWht/507d/jud7/LV7/6VW7e\nvMmf/umfcurUKT7/+c/zhS98odWbWcAh8W4hTLuv7ZXfzcJeyG8lu7uD+kvXOvb7CdW6TEqSRCwW\na/j4V64s8vbb7chyR13OrVKXAXtLebUk+moYGpubfqLRLYaGZllcfJ10KoFrYwFBFFDVHKlQCMPl\nIrXcA8PDdPSbft7Fgs/KqWKriLMIs1ArnTYfpC6XE8OAQOA2XV0zbG6m2dzMYOpdZTTNQBBkXC5P\nvuW01ehE2rNkYCcEAm9w9Oh5vN7tPuW5XA731bv0e0fzewArCRg6eaKwzPria4x0F/XYq3GVgdGd\nIzX2os54fJNYbAWf77HCxNI+PhRT/cWIoFhXMh4OB1HVbkZGWke60+kYodBdpqYuFIID+4Wu66hX\nr9KxtUXa5cTt9eIKrtT02bW1a7jdQ3i9QwfahoNifX0OSeqmp2d4T9+1IAhop08TvXQJL+B3OvE8\nXrmoVZIkTv327+RbzFee4JlOKq8zM3PO9tp2FxPrb0uaZEmRLDmSOZHSsGYB1gTXHNPI3ysMdF3l\nIx8Z4OzZ43ktfqms0yLi5T/NmqA+TDAMo2oWJxKJvG+I9/379/H5fDz22GN8+9vf5jvf+Q6KovCD\nH/zgkHh/WLGTs8nDGvFulN1dqyPe1tj1OO7VsgD2LpPNiLK8+eZt/vEfF3E4PAgCqKrZWl2Wzchy\nPmOc347KUgP75pnvS7bW8RJQJKmy7CrIA5LJDdzubsbHn8TlMuVGiqIQTjvpzWRIRCIMd7lxT0/j\ncDiIqSrukZMH0g6mUqmCvCkQuMqJE5+ls3O7x7TlBW5mZBqjp19ZuUx7u7Mi6ba2waVpIJvjC4CY\ny5UsI5SfGzXUf1jfn6IkiUSWmJ01G7JYxNtOuO1a8krrOWhnwmh0lWzWyejoqT19rp5QlBQrK+8y\nM/Pxuqxv4eWX6djcxJPJoKdSpHUDrUxqUQmh0B0Ewd0wN5lq7iX2ybFhqESjftLpNF1dg/j9IRwO\nmfIiUMtXvvh1F/9um3FzU55CiUbx+sbocoXx+8NVzw0jb8VZlCGZ6zYMHb//Cj7fEZaXr9nuM2Ih\nW2O1sS/+70KW7ZPi4nLm7+rnp6apjI+v8uKLJ/PbVfQft4r/reh3pTqrSmS83pPUhwUfpOY5iqKw\ntbXF//yf/xNFUTh16hR/+7d/S2dnZ6s3rQSHxLuFsE50Xddb4ilqH78c1g3K7r5RT7u7h4V4HwSV\nGgNVywI0+oZ9/foy777bydTURwqvaZpGNpvF4XA01IM1Gl0hl0szOXmm8FBLpVIAdB47Rnxzk6ws\n0+NwFCZrDur33QeD12lvn8XrHSqxE2wW1tbeweEw6O6uHtl0u92sdnbRmfeuj+s6jqHS5aXJSeLX\nrtEpiqR1HaPGzoSKkiIYvMXs7PnCa3bybBhGYQJYrRHKXnyXK53LicQGsZjB+HhtvtCNgKoqLC+/\nyfT0c7ssZyesyjbdfKE5kqESffAmXk+c1zIhOnI5Qkk3vdPHWFp6s4SwFuVGBrHYGtmswsDABMHg\nW0DRTs8+0RVFoeR/8z5syYgsmB0/LceTIsQCIbXIqtW+XhCcyHIbqVQIUezgyJHzaJqOKEq43Z49\nP2t8vtq6a+6E+fmfcu7cSzjL/NfjW1GCly+DAOMXPoKnii58LzAMg/7+FV544ZHCa/YMTy5nNsKy\nJH/WdVDppxzWOioR8w8q3g/E2zqnH3nkEd555x1+9atf8dWvfpVsNsuVK1c4c+ZMi7ewFIfEu4nY\nKeLdClQav5JDSSPs7h4G4r1fVJLdWI2BdiO4jdjfW7cCvPaagCxXbu7RyGMcj4eIRteYmDhbOGes\nB5Ysmy4lHR0dpHt6SN66hRSNgiSSGRyitw4NglZXb9LVNUN39yilrc+L2E3KchCsr19DFDP09+8c\n2RQEgb4LFwjeuomoajhGRugeLvWU7p2YIObxsBIO4/R6GRze3XPaJJtXmZ5+uqbtrUacKxFyXdfJ\n5XKFc7pIWPW8jlbHMHQymRihUJjR0ScIhW6jaWpeb6sW5AL2aKq5HcXCzOhqkMzcLSRNRRsaYvjM\n2ZJttBPWSrAiqsvLc/h8JwkG38m/Rl6yoOcnwvlsQ56oSpITS45UJLDOQuGnKErEuqaZIcZs+zSK\nAW0TE8w89dmq2xKNBgEnPl/rJiBgToR0PcPsrHleWNdmKwI8i4u/ZHj42DbSnYgnWP1f3+V0JAIG\nvHP3Lkf+4A9wufbeZMmO9nY/n/vc8ar7Wm5wYJHp8mWqEXJN07ZNUt/PhHy3iHckEmFoqLVyqVqg\n6zqPPvoof/RHf0QkEuHMmTPcv3+fr3/968zMzLR680pwSLxbiIO6ihwUdvKrqiqZTKakGNAi3I24\neTwMxHuvY1uE296Js1bZTaP29+7dIL/6lY4sb49INPqmn0iECYcXGRs7U4hwW+OWnzeiJJFVFFy5\nHLoq1KXcMxS6hywPlaTzmynb2ti4jWFEGRyc2nE5SxYAKt5jM/kHd46NDT/ZbBpZNjtympFWHaND\nJZtbJ7a0Smk1m2CLsgoYhkYweJfR0aOsrFyrSFBNsmxFvClZ1/ZTsehUEl5cRL99B1nTSPb1MfT4\nE4UmR2ahqRlx1TSFjY0IPt8FDMPUzTudZodP00nEUSAhlZDNZnG+eh+fNA4SKGGdlVgHoydPFpYx\nDJ3gzVsY2Qzd09N0dG8/1+/f/wXnzn1pW2dMVc3lXWSq+8LvhP7nP8HSL17Bk0wS7/Yy+NHqLduT\nyU22tgJMTh48QnwQZDIJQqHbe25J3wgEAm/S3T2C273dSSV49SqPbkYKZjtn1kPcunGDI0/UVnhZ\nCbIc4KWXZmqSQe50n/gwEfJapCYnbdfjwwpRFFlYWOCNN97glVde4Zvf/GZBYlI+6Ws1Dol3E/Gw\nRbwtWNFbME9et9vd0C5/Fppt81aOWseupHPfj+ym3sfz3r0VfvELDVGsnAZs5PeXTG6ysnKLsbHH\nCzpiWZZRVTXfba507MzaGoMeD3jMVHIqGs0329n5hmgSRwVNK0ZPdV0lHF4ikVDp7e1mdfWWLbqq\n2CKyYKbqc2iagdNZjHradaxm8Wbx/6IMgLwuXigQeivlv7m5jKrG6evrw++/btO0FtdRRFHHamnm\nE+FNtBtztGsGsXYP3qeeprOzE0mya1yr2+vpus7CwiWeeOK3dmzDbvo3GzVfz+GlJZK3b+O+dpup\n/j7a251oWQN/UmTsdNH+zZRZZVlcvMdjj32x8Fq57YX5vRWt3cr9yFOJON5sFvJRdacoYkSjJePc\n/+lPOeIP4BBFlm/MoX3mN/H2FbX0CwuvMjb21L7a0e+G3pFRev71v0ZRsvQ7q9ukZjIJ1tdvtpzs\nVm9JbzSsvqEa1tau4nZ78HrLG9mYEF1OVAzk/HWTARwHcHwShDU+97kxPJ6d13GQyXmthNySblm/\nH2ZC/kHQeFty3f/xP/4Ho6OjxONxVFUlmUzy53/+5/zJn/wJjzzyyO4rahIOiXcLsZPGupGwtMnp\nvN5U181UrCWVaNbF3yriXeuEp5rO3e127ztlW6/9XVhY4+WXFUSx8kNNVVU0LUcmk0AQQFGkvKbV\ncgfQMO3zzOhrIdqaJ6xFUioU/reKppLJGCsri/h8R1lZeQ+rvbthgKJkEUWphFALgkAsFCAZi2MY\nAgiQ1lSkQFF7bjUwMUmviJLJkHgwj6RqGO2ddM8eyzfXkYhGgxhGBwMDo0iSRHt7R6G1tGEI25xJ\nDhr1LEc0ugzEGB19ct/rMK7eZsxTtJgLzC/RfuFCzZ9fXLyMz3e2rmQzsrqK8/XX6VGySKkkK0EF\n58QEDlFAyN8rLGiaxvLyXWZmXig51uXNgIqNUHRM7mEnIAIut4cNj4d2RUEAEoaBwyaxSSYSDCwt\n48hHMMdVlfmbt/B+7GOA6ZE9MPDonjyyV27dInfnDrok0f3UOboHd06jC4JQ0RrPQnWy21zout7w\nlvS1IhS6hShq9Pb6tr1nZYB8p09y6eZ1Ju/dRhUMFo4d5/hQF+HwQn4ZDcv+0/xt3Z9K76GCAE6n\nwde+doaenspyu0ajGiGH6hryh4WQ70a8KzVCelgxPz/Pf/7P/5mVlRUcDgfHjx+vqa9Is3FIvJuI\nVke8K0klwHTg6Opq/g3L7vbR7HGh+nHXdb2gc7eiI/XQuddrorG8HOKv//ouuZyMYawWorBW1NUq\n9BIEkWw2h8PhwuWyCj6dJVHV7ZZ6lW/y1mQtlYoSjb7L+fNfxuk05QTFZXTS6TSSJG/TaQ72nyYx\ndwOvppMzDFID/XRPTlXdx9Dbb3HEk7feMyAU1+l/ZIatrSXa24cYGTlFKpVCEIQSX3RVVRt6k43F\nVojFbudb0e8fUpnNnbgH68eFhUsMDZ3C6axvR9JMMMi4IGA4naQcTgZzOaLpNJLHg9rZSeD2bbzD\nw3g6O1lammNy8oVt1oulGvJiNqi8kNMi45Ik4vr4s9x79yqSqmKMjzM8OoqiKKZrhSCgmiuA/PWj\n590sAoG38XpnaG+vPRoXWlyk41e/ojd/Hc6HN3D/qy/tW1fcDLJbbulpLwK13EwMQ2Vp6S2Ghk6y\ntnYDq529RVQVRUUQwOFwlujrgYqE0cz2mMdod4194VMAxGKrKEqc/v5h/P5rhdeLhc/FDNDop55l\n/cxJJEnm6PAwhmHX2Zf/WJmgcjlVhE9+0sXISOUgxPbtrW6d1wgIghUMKG8O9HATcgvvh4i3BZ/P\nx8svv8zdu3dRFIV4PM7W1hYdHa1tXlWOQ+LdQjRL420YBplMpiRya2mTY7FYy2aD9bb128+4dlQq\nLK1nl8l6EO9gMMxPfpJhaGh3HalhGKTTKSRJ2jFit/M6dHI5Nd+AJkMw+B5Hjz63TSKSTaVIrq+T\n1XV6x0a3rUd2Ouk8/RiJaBTZ6aC7Y2d7JymVLnADQQAhmWD+2kXSW1HGjl/Iv176nVQ/tvWZ4CYS\nISKR95icrM0uL765SXpjA6fXS3dZcVJucABtZRVJFElrGtRQSAmwtHSF/v5jeDwNeJB4POR0HYco\n4hobI7CxQWbch9HZRf/Vd+kzYEMUuTrezalzXymZdO0Gi3zYYUlTegeH6HnhhRJCbqboweGQWT16\nlLY7d/AIAgsd7Qw8eppg8F3a2obo6tpuH2knqoqSJpdTkCQR0Fm9/TbjmTXW0DAwMJIqt6//gp7B\nvvz26FhNkywdvWFYzi7FfbG2fWlpjrGxI6yuvpPfJ+v96oW85mlolyWVL1iqvy+6lohUczAJBq8w\nNfVJPJ4Om/2emfkxAy5ZBEFsuNY1mQxhGEnGx5+p+TOjo0f2PZ6qJrhwQWB2trbrp9WyTjvqTcjL\n/671mVVLxLu7u7UNoHaDxaW+9rWv8Vd/9VfE43G+973vceXKFX77t3/7oSsOPSTeTUSzI97lkVvY\nrk1upc661cTbQnmXScsbuhEpqoMc69XVTf75nxNAbQ+Zg2y7nXCDqdVdW7vK8ePPbYtypuMx1Os3\n6BMEMpkMm/E4I2fOsHHrFvJmGF2UcMzM0Dk4SGcNKctUPE5MU+nNR7d0w8C/dIdeQePR3hOkrt9g\n67iKq7e3aeduOh1lY+MtpqZO17R8xO/H+d57jAgCKV0ndOwYA0eLTWVGnjzH2u3bCKkUUl/ftjbc\nleD3X8XrnaxrF0S7H3T35Bh3gos4/MuoIhgffZL+mSmCP/sZWjLBGjrLiRBK7hRr49cKBNk8zXb3\nhC7X0kPlaKphWD95d5zJNu62j5KMRnF1dLB+84fIspeenmzeRaS0m6iZwTF/zKivmM9WyUjefgzB\ng0eUEBFIOyR80+fo6vLuqKmvhIWFV3n88d9teSv4QOASExNP0dlZ2UO+Wchk4qyv196V8qBQ1QyP\nPZbm0Uf33g78YZMe2FEPQg7bvcirEfLdiLeqqgfq2dEMbG1tIUkSx44d45vf/CbvvPMOiqLwjW98\ng8ka7q3NxsN9ND+AsBPdRmm8q0VuXS5XhZTiw0G8WzGupmkkEokSwt3IwtKDTDTW1yP86EcxDGNk\nz+Pu5fAaho6i5Apttq1iuEDgLY4cea5iMWl2dY1e0XQqEUURT2ST9fkHDITDSKIAhk7kzm3U3t5d\nb+Ab9+7iWVhkRNO4Hw7TOTFOyi0i6lkmB8ziPo8kkVxfgybpDjOZBKurrzI9fbYs7a9j94A2H4zm\n/+Frl+hNJkgYplY1dNVPypkojYJ6BKROiRxb+P1btmvRci8pnjNra37c7l5gg0QiTJHoirbUuYCm\nGYXajbY2d17TbyDLzgJBLpUGlPpBd596GuPkBSTJgSSZkdU2cZR2R5ZgapFZ7zNsdQ4zOnoWs1C0\nOSn71cxNxKuvk0vcZa29g5kvfpr2rq5ChLwSio1cDGTZgSgK9J4fYT5jkHzwAE2ScJ47R2/vzoQ1\nkUgQ39igZ3iYtjYzc7S09Ab9/adaTrpXVt7F4/HtQrp3Jlb1QKWulI2EpuWYmdnk6af3JvnajWQ+\nzNgrIa+1OZC1TLVj8rAfq1wux7e//W26urpwuVx0dnbS3d2Nx+Ph2rVrzM/P8/zzz7d6M0twSLxb\niHoTz/J25bVEbluls7bGhuYTb6vZjTUxKe8y2Sjsd90bG1F++MMtdH27hKNesDyb7YTbKnxcWHiN\nmRnTrSGTyeBylXaA1Mt2SwOErIIkCqh5giooGbYi67S5nSXaVHtL6FwuQ/LqRTpFM8XvcMFCMoMq\nttEuCyxuXi8k6De1LtqDcQyDAhkCs1unXQNa9HLW8uSr3I0Adkr7q2qWYPBdfL5plpauU8mhxLLW\nM3+7cThk2pw9dLtciIKAKIiITidDk5Xbbe+G1dW7TE09X7BNjIfDJNZWcXq99I0Wi9cMw2D54hsM\n3l9CNAw2JyYYvXABw9Bx7uDIsRuyjz5O8Nf/H0PuGXB04jzxCJLUuIZM5TAMg+zlt+hTNkhKAk/j\n5d6VK3S/8ELhfTBshZzGNkJuZW4AfBcuwIULhQiguVzl1PzK3BziL3/JQC7HSns77Z/9DGk9iNc7\nQ0dHawvO1tfncDi66elp3H2hFpgOOz9nenr/xcZ7HW94eJVPfvLht7hrBupFyDOZDKJoTlZv375N\nf38/IyN7D/TsBXfu3OGP//iP+frXv85XvvIV/sN/+A9cv369oCn/wz/8Q557bueGWIZh8MQTT5DN\nZonH46TTaVZXV0mn08TjcWRZPiTehyiFdaLvF5YHd3m78ra2tpoit1aUrdlyD2tsaA7xtooD7V0m\nBUGgo6NjW5fJRmE/Ee+1tQ3+9/++Sy43gK4voOsaYFX7W5FWk7haBVGmPtX8fDqdRRRLyal9e3Rd\nzzug6AVdq0lQJQzDwO+/xcjIMR7cfg1tfgGnppNxOWk7cgSnyyxqzAkKgfA9unSNVFYhPTCAOysQ\nDS3hlmREQSIqyXTlkmi6YiOubTidxeIpTdPweAL0OJ1IgkQmlyYsJTn/ka8RXVnBuHmTNk0j7nZz\n/Mkn0TEj9B5Pe+G4apq27dia+6fmfaVrt39UVZXFxR/zzDOf3XO3VuPUY6TfuUIvENUN5GPH9/R5\nC+vr95GkwQLpDvuXkS++yTiQNHRWTjzCyGlT/rIR8DM6P09bPqvQEQjgf3CfwenpfY1dQI+G8NEv\nsKU6cQ8MMFyjHr1eMAwDJbVBXE0w4TbTxoKNSFvFxOVfkXXNm0WcUqEA2SLkmlZKPsqtDkVRIPPW\nZY5pGogiM+k0F1/+HtOf+V283tZqRsPhexiGTH//1IHWk8uZjkb7qQGJx+NkMxli8StMTJyt6Rop\nzRhZDkvFzJGm5fLfj2XHpxUyS1ah6PS0m8985ql93bPfzxHvvWI3Qm79Nq+RIkl//fXX+Y//8T8C\nFEwFvvWtb3HkyJHCz9jY2IE7WKfTab797W9zoczN6d/9u3+3K9m2w+l08uUvf7nw/+bmZkFSm0wm\nuXjx4oG2sxE4JN5NRrm0Y78RZ8uhxN49sVq78t22x1rfB5F4260T7cdJVdWGt1LfaZtqwdZWnH/4\nhxWy2UFEUUaW2/bsRlLJ+QOsCLdSOCZW4ZX9ZvrgwS958snfxelsY/PSJfr7iz6oG9kuemeLESdt\n6kkSkQjtukZHl5e2tjaigyvooRCGJDI9PYPLs3s76NWRUYTNTXJ6ltvRRY5++g8A8I6MoA4MoGSz\n9HvcCIJYkFRYqOf5q6oqCws/Znr69L4eMN7hYdIff46VUAhPTw99Xu+e1xEOL2MYXgYHi13XlLv3\nsChfuyASuX8f8sRbTadx2SL6DlEkGd5kZXUVWZLofOQk3v696YDX128jy/1MP3JA8n4AZDIx1rsl\njkbNyUcEA+fM7rpei0AbBgW7Sdg5Ql5+aQqKgm7oCAhsKKuI2gg9PWP13sUS7ORiousa8fgKsdgG\ng4MzrK5eK7iXmCTW3A+77t4wNFRVQ5KEQqZCEAQW37qEa+4Woq6TmJ5m+uPPFbJFuzmZLFy6RPvV\na0TSAXLjU4ifE5Flx7bjt+14FrJEUn5yY2WOTFmTJDn/f/beNLa18z73/a2BkyZS80CNe568B297\ne3uKHcexneM4adKkzUFucNqeW/SivQ3QDynaAgVSoCiCIj1F229pG+CgPUiLe+OctHGuncGOHcfe\nnrf36D1pJkWKpEiJM7mG+2FxcaZESaQo23oAQRK51nrX8K61nvf/Pv/nn79WxnPOlEIZzzq73cuX\nvrRv26Tv44zyRGdFMWRy7e3t6LrO+fPn+f3f/31u3rzJzMwMMzMz/PCHPyzZhs1m4wtf+AJ/8Rd/\nseX9sNls/NM//RPf+c53trwNKHCXQCDAD37wA95//33i8ThOp5OFhQW6urp44oknttVGo7FHvFuM\nzUacqxVzqbd6Yq32ze3uNJrtTVqryqQoikQikZZpy+tpNxqN88Mf+pDlQ2ySK1Vt04SqqnlfayDn\nwV0ZCZ6ZeTVXlMSIhImqCkUSDlEttcOTJAlnXx+JRDx/fM7hYdjkVOXQ6TP4pm/iWXifI0/8d9qL\nsullWS7p4yap2gib7WeapjE//xPGx49u6wXvaG/H0d6+pXXDYS+ZjIXh4bJIefmxFP3bOz7B/JUr\nTKSNnIU7gGNmhildQ5QklrxeYk99ho46BwHB4DS63k5fX+tIdyaTwO+/zAO/8X+z8P4l9GgU68gI\nfRNjZDKJnDe96fNcbLGXRdcV0uk0mpbFYhHz5FTTlIrTaOigTVeTAgn39EbQb90irSYJaTbkkcPM\nzr6GKU0xtfXVBr7lNnvGZ+WOJ+V92JQyGcmhRjuFWaFUKkosFmdi4r6ygbdURFhL5VTmIFuSpLwT\nzfLiInddj9InjIAEqbkscyErU6c3LnUfWVnh0NXn0bUURxwjdK4IXJ2NMvlo/VHKrUCSlnjmmbFt\nlZT/OEW860VxcTBBEOjq6uJ3fscIeNy+fZu/+7u/45vf/Ca3b9/mzp07+d/bfX+KYnWXnX/913/l\nu9/9Ln19ffz5n/953Y4qN27c4L333uPBBx/kF7/4BZ/85Cd56623+L3f+71t7WczsEe8dxjrOZus\n9zCoVcxls9UTa+3Pbi5ksxlUG5iUn6dWJ5NuhHg8wf/+3x6y2cZkYxvFS9T8tLKxLyKJUBBB0+gc\nGi7pQzMzv2Jo6BQ2WyFCrfZ0o66sIIkiKVVFqDka2N4LTVEyxPUApx/6asuiWjM7w2cAACAASURB\nVHNzP2Fk5EBTKiHWg0jERzyuMTpa6aBiP3KY5ddC9GsaazpwuJBcZrXZ6P70E8xdu4qmKqQkiamr\nl0iggS7SkVGZu/4ug4cPUiiYVDzlX5j6j0YDpFJp+vunmJ9/I/dSNhI/jWeVYa9XIDIFx5JiYlke\nOS232Ssmp+Z3ps5eVbN4ve8xOrqPhYUXoUeHHp0MM/h8cyX6+oLdnkE8ZVnKvdhB1y25oleGvV41\n3+pamJg4xI23XmXVF2Xfscfon5zIR8rLC7mYx2HKVMqlK9tFKhVjbW2W48cf2/a2YisrDOl6/na1\nC6CsrdW3H4kE6dQcPaJMl2gMzIV0atv7tB50PcBnPjNAV9f2kln3iHcl1vM1j0Qi9PT0MDk5yeTk\nJI8//nhT9+Xzn/88LpeLI0eO8J3vfId/+Id/4M///M/XXcfkTsFgkLvuuouTJ09y69Ytfu3Xfo2u\nri7+7d/+jT/+4z9u6n5vFnvEu8XYiHxWcyhpRDGXettvJhrZ9lYGJq0i4Ou1m0wm+f7358lkGhtl\nTOdejGaEe+XqFfpjcURBIORdov3Maaw2O3NzFxgYOI7DUeqz3Xv4COGFBYRUCsnppKu/n9DcHGSz\ntA0O4OjcfgEmQ1P9FpOTn9wR0l1tSn9+/mV6egZIJiPE46FcNFXH8HM2p+01jBTS4kIkYhH5ND8r\ntbkzEzlNTTIUljcJajy+wtpanKGh/Xg8l/PLFCCQPDHOXDCEvbOLjnaNhYVr+eV0HYShLgRBJhsM\n4UmnaBMlZFUkg4xu60bX23P9oHhKvzCdH436EcUujh8/2ZDzrKoq/tlZRElicGKiLtKjaRrT0z/m\nvvs+s62+kMlk0HV9y05FyWQUx+A4R85VloIvl6lsVKVzO4RcUTJ4PG8xNbX5qHLheVNoa/jAfm46\nnRxbWwVg1u6g99ChurYnWFaZH+7jQCgBwIzDget4fd72W4Gqhvn0pzvp7/9wFHH5MGGjd2A4HN7R\n4jnnzxf83z/1qU/xzW9+c8N1zGPo7+9ndnaWmZkZRFHE7/dz69atlr3n18Me8d5hlD9oaxXRURSF\nVCqVt7orJtyNHK1/2In3VqpMttrGsFa76XSaZ5+dawjpVlU1RzqMqL8kSfmS6YlYFOfqKmJu2rlX\n1wl6vMTkIC7XAdBEMpkMsiznCemK14MaW0Ps7KDdrnP7Vz+ley2MAPiuK3DsMPa2DpLJGLquYrFY\n0HVTjiIUJXwK+f/N78C4jouLlxkZOYTP98uyo9HzkdTi/1OpDJqm5u4Jg3hms9kinaqePxeqqubI\npVi0DbEkarq0NENf3z3IcgeaZhQqMSrolWrpi/9uJBKJCNnsde6553MbL1wHRxobg5mUHf3WTXRR\nIrNviiOnz6/7/IjFgsRiPsbGGmMLp6oqs//5n+wLBtHQuTM6xv4nn9zwGTYz8/y2pT7bhSFz8TM1\n9cmq35cS59IqnY0k5IZryK+YmmpcdUxHWzt9v/mbXH3tNQRdp+v0KXrqSJqNROZQ1TXO/fc/5PIv\nX0FSFFwnTtA/WlkavhFQlDUeekhiYqKyUNJWsBfxro5a58OMeO8Uvv71r/ONb3yDsbEx3njjDQ5t\nMBjUdR1JkvD7/QwNDfHoo49it9u5cOECjzzyCCdPntx10W7YI94tR7GXt+lQkkqlSiwBm+ktvVPV\nM6thOwR4M17ltdpuFfGuhnQ6zf/4Hz8mleoDAvnlC9P5xWS1MoIFZra6jqJkKM7X1XVwOOz55VOJ\nJEL4A+yynI+S3g69Q9/YaVYvv0h7JktaENDGxnAODrM6v4grFEGWRDK6gGfYTftKGtnagyiI9MkC\nkVUbrpED2O0ZRFGio6OzQveqZLOEp6cBcE5OYC1yUpiefo577nliU2XQ0+k0qqricDjy7VQrGW/o\n2o0iELWInMdznQMHnqKzs7/u9mthNRAgMTODJor0HT+OrSyxtRpSqRh+/xWmph7advvFcJ89S+au\nu7BarfRtULUwmVwjELjB1FRldHer8Fy5wqFQKH9PTi0u4pudZXgdp5XZ2Z/idrdO6gNGhHlxcZbJ\nyc1PrTeakM/OvsrY2HlEcXuDkPL7wtXXh+tzdQzycojF/ESjc4yNGdHtIzk7x82g3NWk1J1Jz+nz\nDdkTKDz+eB9HW5jY+1HHRgORcDjMyEhz7CqvXr3Kt771LbxeL7Is88ILL/C1r32NP/qjP8LhcNDe\n3s5f/dVfrbsNQRC4dOkS3//+93n66ac5d+4czz33HKurq9x999185Stf4Z57dsZbfjPYI947jFoa\n73KrO1mWsdvtO+Yt/WEh3uWEe6tVJltBvE1Um934wQ9u09f3+JavtaIoeVsoMCPcFjKZDJqm0Vbm\nKBLUnLiCIWRR5Gp0lpNn/yssr9HfXUgGnPeFsXXZccVlxnrG85/7NSvWjj66LYXHR6bdmZOnJPNR\niGKoqkrwtdcYyQ0ofR4PrgcfxGqzMTPzAm73oU2R7mowisVoNafxa11vj+cDOjruagjpjq6soL78\nMmO59mZ9PkY+s75cIpNJ5Up+N5Z0m7BY5A3dezKZBF7vRfbv/0RjG9e0kuGhBGiKUmtp5ud/QV/f\nCHb7xg44m8Fm7isjwnydqaknGzqrUYuQG/etYaWnqhkUxfhb0xQ8nrdwuQ4QDM7nZpDU3MyPliOn\nhoOJaSdqOLcY3uSSZBRUMrat5XTvUtH+lFYSLWjsoXSgD+l0nGBwBrd7nMXF9ylNGC3V5pdr/Asw\ny5pXdzUxZpFsyLKErqscORLl7NnGku69iHcpNjofkUiEEydONKXt48eP8y//8i8Vn396kwO673//\n+7hcLk6dOkUoFOKf//mfefrpp/nUpz7Ft7/9bQYHB7nvvvsatdsNwR7xbiHMCDcUirlYLJY84d4J\nfFiId7n0ZrszAVu1cdwOqh2voig8++wHRKP1aV/LUY1wF5+TWsm7fUeOEl1ZYcl7laHDT9PbO0rY\nfyX//ZpvibaVFXra2lheXGR1aAhnl6HjFmULyvg4sfl5bKLAitWGqySCWXk9w0tehjOZ/Bt5SNPw\nexaJCdMMDU1is20cFa4F04u22vUsTeyrdA9aWrqFw3EEp7Mx3tSx+XnGitoejsWIBAL01pjGVxSF\nhYXXmZw0ZAQrHg+p6Wk0Wab35Mktu6JsBoqSYWHhjS3phzfC4NGj3L5xgwPxODpwu6ebqX37qi7r\n8byO09lDR4cT05O9uEposXOJmTBsREq1XNKwXpQoahBO43mh59wTBEyZUkFjX5hZMr9fWFhgZOQu\nlpbeq5kkaqIaySwls+WDv8IsVmG50uqhBtkX8fuv0tNzjLY2V35/DbJqJIiaunwQ8hay1SQrppPR\nZn3sTShKhvn5lzh37plNr7sVaJqK273EU09treDUetiNet9WYqPzEYlEdlTjvRXEYjG+/OUvY7PZ\n+N73vseJEyd48sknGR0dpaOjY8eq624Ge8R7h2FGWlOpVEkioCRJtLe3b8kScLv7A7uXeJszAab0\nplFVJut1k2kkqkkgfvjDG0Qi4yXVFutBOeGWZXnT5ySW9tE3cjJfnEUeGCS+EqZdkiAcQe/oQBQE\nXP19+FdCONraiFlkHPv20dbVRXJ4mFgqRY/LteELXZQtKLqGRTCW0zSNpcCb7D9xCodja+TSPPbi\n2Y9y6VZx39I0jUwmkycky8szWK0TdHeP1NUPzEFfsQWWoigsX7mCkM3iGB8HqxVN1xBzntFJQajp\nX65pGnNzv2Ri4iGUrMLclas4L19mXDaKvcwu+xn57DMVnruglRDS4ql7o/Kolis+kiWTSaNpKrIs\n5qfzDcs88xwa2nq3+xiLi6+XkMji95UZCS0/RcVR0urf6Wj3DnBhZhoEkf4D/SwtvY6mler8g8Gb\n2GztqGonq6teTFs9g0QWR0eLdflWZNmRX65Yg2+6l5gexfVa0M3OXuLMmf9jV5SCHx+/G5erdJp/\nfQ9yvUKyUlxh1ljGzLGo7zmx01UpdV2nu9vLE08c3XjhbWAv4l2KWudjdXV1RzXeW0EkEsnP6P78\n5z/nySefpL/fmL2Mx+N0dnaut3pLsEe8dxjZbLbEQ9pqteYT2XaadEOpxrxVKCfe5kxAcTXORktv\nWvHgLSb7mqbxH//xAaHQ2KZG5I0g3AB+/02s1sE86Qbo7O8nbpEJBkOs+v3s7zb8U+0dnViGhkkd\nPEhnR0eeCFbzqS64d5SiZ2iIJY+HnuVlBOCKNsOBow/R3r55N5SCNWKhzxoexjrZbKqo0p2Gqhrn\nK5s1XF3MiOjKihdN68LlamN1dQmj6IgRMTSihiY5MdxK/Feu4FjyggCZ0TH6jx5D13X8b7yBO7qG\nIAgsXQX9zBk8lgDO4AqKKJCe3Ed/9Car0QI5NWZbdBYWrjIycpRbV19Ceecd0oEQciLO7Z5erO3t\nZNdUrl3pxNndTSHiKReRUBlBEJEkI+ppEE97LinUiIza7Sog5tx9ZMqTQqenf8K9936x6Xrqfftr\n6yyXl68zNnaEvr7mJOjVi/n5a/T13ddy0m2Wgi8n3WA+Q6pX6axFyE2YScbGdiqrdFYj5HNzP6+7\nKmUj4HAs8swzh5oWpdyTmpSiHqnJbo94P/zww/zjP/4jLpeL5eVlHnroIWw2G36/n0gkske892AQ\nJdM43mazYRZ6abW3dKsi3sVaa12vrDLZbOnNTka8Taiqyo9+dJ1AYLTuF4yiKPmIK2xMuHVdJzB9\nm0x0Dbq66BkayE/RB4MzqKqV7m6RQOAOhpezDuQ8ne06iVGZa3NXcQg6a4KAdfAImdXrCGuFKfry\nXdd1chFWHYfDXqJp1XUdhgTm2m34fR/QP9RLLOYhFvOUaEoNsmBu0Zj6N0mnqmpks0pJ8R9V1XA4\nCqRSVfVcBLQQJQUZSWrDYrFisciEw0t0d5+hv/8ApvczVEZsTQQXFjm91oGty4jCJSMaUXEUW1cX\n3dlpXJ0GQRoFFtJ9HP38Z0gmE0iSVLMU98zMK9x995ex2drw3PwpE45JFju7cGdXSCYttA1OEFQ1\nBvffR3vH1omg6WxjtVbmQMzMvIjbfbKlSYyh0B10PdPSIj0AXu9NurruoqOjtynbVxSFxRsfIIgS\nY4cP17zvQ6FpVFVkYGASgBWfj9Dt21idTsZPnKh5v69HyI2ERjWv7y5EyKttp0DI5+dfYXDwIBbL\n+km5jYIse/nc56ZaUk3444p6iHe9BWxahS996Uv84z/+Izdv3uTP/uzPGB838pG+/vWv8/TTTzNU\nh1vPTmOPeO8wRFGkq6urItL8cSTeJkwP7mpVJps1C9CK4zYHGd/73gUWF61IUrgiuSm3JIIgomkq\n2ayGqmbz35s6zYIbjVCxbiqRwP/2Wwwk0lg6u0iLIvHjJ3D1DxIOLwBd9PdPYpSJb6vQjIqixPDw\ncdJH02QScdzdPch1vgzT6RSqqtLWVl0+4vW+ycDQeVyu+u3ByiPcRkTXkncrKbaONEl5+fqKoiBJ\nEtFoAItlmOHhyuI0pVHDguuEmkhgKcoJsOo68UgEW1cXKUHIRRVz93NOa1vr+AFmZ3/F4GChQJGQ\n22e3q5uZZAopnUYGtNOncG2DdK+HuTmDVBUXSdppRCKLpNMRRkYONq2Neu5vv/82dvsBXK7NVVmt\nF4qicPN73+PYkhddh2uTkxz98pcryPfqqpdkMsboqOGfvjwzg/qDH3A8lSIOfODxcPSppzbVdkG/\nTtlzYz3JinGfdnYOIMtWMpl0bjsFUl6IkG/+fBgzUgWJlDEwXONzn3PT3t7c/rgX8S7FRudD07SW\nWnrWg46ODv7oj/6o4vNvfetbTK3jntRK7BHvFkAUxYoO/3Ek3sWR7ng8DhiE2+FwNP1mb9Vxv/ji\nNKnUWcbG1n/BGPKILGaioixb6pKUZDMZwq/9isGEnR6pjWhURXSPEFMcCLKAyzXB0FB9+sm2Dgtt\nWyR+1WYSlpbexeEQ6ibdtQi32TeqkexqMPdjddVPMmmtWhGysJwZNSz0v76pKZbv3GFINZL2vLKM\ny+02oudHjuC7dg2HrrHsdDFw6BCZTCaf5FY+hT8//wa9vYdpayuUbRenplhbWaFLEBgeHmbxwAGG\nzp5t2j3g8bxOT894yT7sNKJRP/G4B7e7uVrejRAIzCGKbnqKXHsajdmL73HX0hKSIIIAx2Znmb9+\nHffhw5h6/VgsRCBwC7f7JNHoMpqm4n39Z+yP+QjoCpqgkX7vZyyeGEKSKEoyVXMyqcp2BUHPydqM\nGS1ZlnLkubjaaGFZMP4PheaQJAeSlCaZ9BZV6iS/jLmuQeSLpVml/b3UKcVEocKoIEjoeoTf+I39\n9Pa2rj/uoTp2Y2JivditpBv2iHfLUS63aNU+7GT71ZJLN6oy2Wi0IuLxs5/dZGFhDJutdiVNU8Nt\nSiwsFmvesaAerC0v049AOJes2S6IrMZirCT8dGa6GB4+1qCjqYXq+xkIXMZqzdLd7d5wCxsR7q1g\nbS1IPK4xObl5p4S2zk7URx5h8dZNEEQ6Dx+mw2k4b7hPniR58CCZdBp3LlpXzZdZEESWlt6js3Oc\ntrbufJRcEASGDh8m1N5G2L+M3O1iat/+LR/nRvB636a9vY/OztYlTCUSYVZWbjExcZJy9xLQc4mh\npf7Opc4mBQcTo8y94WBS6aYjkM0aybSybMk/58wocCwWJpGwMjhoxeN5u2L9clu94sG6KIq5/Sk4\nnhQnmJrJo7oOy4HrtGe8gICOgIaGx3cNsUvLJYBmWV5+j/Hxw8TjN/PJogrLCASxiCKiABbJhstl\nzcsVzSTTje4L816qxwEqEJhlePg4AwOlpMU4F+URcq3me6PeCLmiRHj00WEOHmzObEM5WiEt3M3Y\nmwFoDfaIdwtQTnRbYW233v40C9WqTJptt7W17ejNv9MR7xdfvMns7CiybJCLYpjadkXJmnuX0yNv\nXutocdhR0BH7+okEAkhKljvE6Bo4wvBw88o6V6KgzQ4GPwCi9PauH1U0JSEFDXd9hLvWNUwlk4Qu\nXiQVDRGydnL3Q7+x6aMw0dnTQ+d950s+M/tve3s77bkk01pT+EtLF7HZ+mlv7y66zgVNbefAIB39\nA4BKKhXDcCYpTMWbjiUG2VHRtGz+c103P9eKkukMkmMUU9Jz2vZ5JElDVftZW5tFksT8/hY7k5hE\nEgp6+3LnkvK/zT5d7m5S+M74MJtN4ffP43YfYG7uSv74DRIp5LT5EpJkWOqZ1nqi6ECWxRLCWVxF\n1HfnDkoiTt/UPjqKNKmm4025q8naWhBBGOTIkeYX1xgcPMaMN8tdoRA6cGlokHOPfAFZllGUDHNz\nL3DPPY9XRBeFTz5BMPT/cGAtSliSsN13Px0dm09GrheRyBKKIjI8XBkpFHJ2i5JUbo8IRn/XMAt4\nFfp95YxUMSHXtAT33aftGOk29lf/UEdxG431iHc2m22J4cPHAXtndRfAJN6tGo03u31N00gmk1Wr\nTMbj8bxLRyuOfSeI90sv3eTmzUFk2UYmUygeUp1wW7aVXNTV20dgeBirqpFuc+CRs7SPDjM5de82\nj6I6VFUlOD0N6PROTVVcw1DoFqoaZHBwEjCqVwZz1Sv79u9HluUSwm0MQE1doUI6nSmyzSuOhKpk\ns2kymUyurLuAqmqoagbT4zlw4XX6omsEUxm6HSNctn6f3tExRFHIaeO1fOSyENWstMgrJp8mqhFM\nY2q/kpSGQgtIkhOXS8Pn8xdZHRYs3kyNvSBIGATHdCCRczMeZmRTRJIsiGJ77nsh7+VsrC+WEAsz\nuXJtbQaHY4L+/oKLzU7D8IO+yH33fa6h5Of2iy8yee0aDlFg9t33UJ55BtdAbTlTIrFGOBxnYqJx\nFTrXg81mZ+qrX+X6xYsIosjBM2eQZTlnJ/kTJidPVj0fvcPD2H7rt/ng5k06+vo4MDHRtH2MxYJE\no1HGxk5tar0CIS8dHBt9uxAVLyfkipLm6NEVDhzYRzwezw2iSn/2orDNx3rvv9XVVZzOPflPM7BH\nvFuA8geKKIp161WbgWa1X0+VyVZprXeq3VdfvcONGwPIcsHdQtMMJ5tiwm21WpDlAuE2Syubkc/i\n4iHm/6qqIAgGEY0szKH7l1B1DYYGcOzrIZmMEAuvYtN6mJ//Vc52rpQwGn9XnoNi/98C+SydldE0\njeU332I4lURH4NL7VjpPnQIEbDYba2s+stkk/f0DLC5eQVFUQm+9yWA6gw68d+mXuE6fxvQWFkWQ\nZVsR0TSincV6UCNaZsVqlXNRUCOR05x+NzWm6XSaTuUKMUnhgeGzaKrKou7EPV5d310NSjaL7913\nkVIphMFBBg8f3jQZCATu4HbfRX9/dflIeWJbQU9brV8Wpu3L7eDWQyg0gyjGGRpqneZRURTm5t5h\ncvJcQ0l3JpOh48YNHDlp1WQ6xe3338dVo/pdJpPA7/czNfXJ/Ge6rjFz4Q2E1VUsbjejd9XfR+qF\nzW7nwPnSGZO5uZ8wNnZk3Rmdjs5ODpzdnof2Rs+4VCpGMOhjcrJxg3NBMJ+xlYRcUbIcOBDhoYcO\n5xMti60OC9sQGkrI92QVlSieeS5HOBze9VaCH1bsEe9dgFYUc2lm+5upMvlRJt4vv3yZn/98CVGc\nw5QfZDLGIETTjClPWZaRJKko0ZR8RNaIYBam4Q0SakY5pVykVyQeWaMv5KfNbkMUBFKRKPGhfgSh\nk0OHHiGTyWC1Whs+bbg8N8tZywCizTiXYzrMZzvpmZwknQ4hy1lGRg7ll/ffvs29tkF0G2iqypCm\n4c22Mbhv35Y03GYCqs1mq5JwqTGTCXOu84jxn66j2TdXkt778stMhUIIQNLrxY/O0JH6kwFDoTkU\nRWB4uLZmu/SlVzj+RCxK8N33ELNZ5IkJesbH8+S8XD9eIORinpibn62uLpJOLzM5uZMyo0rMz7/N\n2Njd+euUyWRIJpN0FPnCbxUb3cHm+VWUDIuLs0xOPl7y/Y3/73mOXLuGVRBYvXqV2VSKyXubM0Nk\nYnb25wwNTWK1bq5PNhqKksHrvcm+fTsT/dd1jaEhH08+ebzkXWDWNij/2QlCvofqCIfDu754zocV\ne8S7BahFPjVNa4n+rFEk1Cx6U1xl0m63r5vU81El3m++eZPr1x2Mj58okpQUZCaNJMLZcJS+tkKR\nAC0TY8Yzx6lzny9ps9EQRKmE9Gi6jiBJrK35yWZ9jI2Vkj0NyChKPv1SF8DmcGDfJCHeCIqisLR0\nk4nHvsrixUtYshmi/X24T5yoexuqqmIPBvKRf4coovv8UCfxXl31kk6nGBmpv83itoM/+Sn7kwkA\nVpaWiNpt9I6O5aPjxZU5C1ULS2ckotEAsdgcIyOHS54tO01QZmbeKPEL9924gfLyy3Qmk8z09jL0\nzDN0bHFK22q1kjh2jNjly3QIAjN2O64zlQm0RgXG60xNPVnxjHXMzWHNnRMn4JuehiYS78XF13C5\n+rBY7GQyKQxnEyNJtFjTbwyyNDTNTLbWS+RYxjK1E0tNp5Js1sgrsVis6LqQ99/XdZ3FxRlGR4+w\nuPheSYJo8WOxVN9f2XfMJNRK+VWpj7+uQ2dnkP/2356u+g6UJKmKZKVxhHwv4l0K8/lRi3N8GIrn\nfFixR7x3AXaLpeBWPDu3W2Wy1cS7GXjnnTu8+66AJDlIp9NF1eIKSayNjD47enpYm52lS5JIphPc\njgQ4fP638202C32jo3hmZxhZCSMIAp7OThx9HYRCH7B//9355TRNI5vN0jk0xNzMDKNra0iiiL+v\nj9HJyS23X+3YDIJ1kcnJh5FlC/rEFJqm0aUomxrUiqJI1maH3KyNDqh1lh1fW1smFgvjdp+uu71i\nRCMRBtdWIaf17xFg1uOB0bF8hLz4WKoldMbjIcLhDxgfNwY/xQOwYomKSUya1U/m5t5hcPBo3i88\nm80SffVlDqTjaCK0hfzc+sVPGHvsk5juJapqJomaREvNJ42aen8zoQ/AMuXiqnU/2UQMl3sMPell\ndX4pf9yCIOD3LzA8fBdLS+9iupqY+exLyjz2TCyfA+pLK1gW366q6TesYE1tfkGSZRJLg6SWWumZ\npBR0lpev43BY0TQn0ehyfgbLTCotXBdTr29Blu1lyaRGm6IoIUlyRX8oh1mgrTzBdGbmbc6e/RJW\n684UyLFaPfz6r5/d1LOvkYS8dBCw525iotZ52CPezcMe8W4Bqmm8ofXEezPtr1dlcjP2d60m3o1u\n9/33Z3jzzSyaZiOTSebbslgsyLJMMplseJttnZ1Ejx3DO3MLz9oqhx79TextpT7hzTi/giAw/MCD\nhJaWQNfp7mnH53uf0VGD7JmE2+wfsiwz8clPEvH7EUSR0aGhhr78DNL9HuPjD+b18huRkvWOzXHu\nHHNvvoktnSLh6mbo7rs3XC8eDxMOe5mYKERMTfJo2uMVdPulEU6DcCqkUkl8mSD9WQ1N11B0FX/C\nirZgySWCVjogFUcrs9kUPt8NRkf34fVeRtd1JEnKR8kL6+T/KtOLizmSWZ1AliefGp+bxLNwPX2+\nGTo6JgkGQ+h6KE9416JxAqqOiADIpOI6yaScI0cOjARSsYRUGsRTqmmjN17DMCedTrOw8C4nT36V\ntrbqjiDyU05SP/0prlicQG8vx57+NZy9ja9gGQhcZXx8HwMDrUtwNTE7+y5DQ2d2jHSL4hJPPz3a\nsNmtegm5OUNQTMZVVSUej3/sJSsbzQCEw2FGR0d3cpc+Ntgj3rsAuyXiXU/7um4kBqZSqRLC7XA4\nthTFbfWxN7Ldixfv8ItfxBHFNkBFEASsVuuOeJPbnJ0E+tq4+97fqfogbfT5Ddy5g3r1KpKqkh4a\novf0cXy+9xgfP0k2myWTyeT8gxVEESRJRNNEUqkE1k6bkRAa8eWimeQJqRG1VfIEz/RxLq4OaRJE\nRVHIZBRsNkO24/HcoK9vH37/5TwRlSTD7UTJRbyNPloglMb2yo+uSHt6izoKlwAAIABJREFU7yQJ\nTUUUZQLBG7n1NIzKonp+eUGAZDJOKORlcHAfb/7HPyNGY2jtbfSfOoXFYqdglycgCHIueVQo+l9C\nFC3Y7R0o9z5I5MpVrKpGYmSE4w88mveiXj+6mWJh4XUeeOCLuf+NaGex3Ks0oVOvIOQVZ6MsMl5P\nhHxp6QYHDz5WtRpk8uACQzMzSILAqq4zcOIcAwONL2BjSCku0tt7qibpBhg6eIjMxCSJRJypzq6m\n3K+h0G1SKT/d3SM7Hm0tv7YezxW6uw/jcDSnKmpl+0Geeqofl6tz44W3iVqE3AwCZLPZ/P1TK0Je\ni4x/1Aj5Ru+E1dVVTp48uUN78/HCHvHeBSiWerSy/fVuRF3XSafTpFKp/H42osrkRyHirSgK7713\ni1dfTSIIHahqNhf118hkErkHuxHVTCTiqKpKImHLTVebJNOMgBrE0zjFJiEqdYAxfpt/Gy4BHs8M\n4+N34fFcLNk3TdNIpzPIspST/gAIxKNxEKC9qDKlIAhoWjUrPSMKakAnnUqTevVVXJKECqQ+mObl\npUscPvMJZma8+cRRUZSwWu3IsgVRlHIJo8a0uSDIeSIqSQU/ZrPao1m63vy72kvPIN5prFYbCwuv\ncPLkF7FaHRXLmYNFcyDUDGQyCTye9zl//teZe+UV7l8VEIUu9KjOnZkwo489tqntdZ65F+3UWTRN\nq3tAqygKCwu/YnJy/ch8LRJRi5CbRW6qbaNc+iIIAj7fLSyWgZol2Pc/9RR33noLMRbDOjrK6JEj\ndR3fZuH1XqWz8xDt7RsniFmt1qb1jdVVD9Nv/5iBy9MkMxlmxsY4/Ju/uWPR5mL4fLdwOEZxOvt2\npD1FCfPpT7czONjaJD1RNGZITG9qq9Va0s+r/VTbxkeRkO9JTXYee8S7Bdgtzh71tK/rza0y+WEm\n3qbU5oMPvPzwhz4URcJiSSNJFiTJgmGRJ+RIphFxVFVrLhLbUTRtLuSinSYZLUyrb/RQVxSF2dlf\ncf78b1e9HkbRoiSybMm/6D0XLjDmXwVgZbgN97lzKEqWwFtvYV2Lora10X32buxt7VXbjKyEcHR6\ncMgyGSXD/NosR0cepn+wkEhY3F6zMT//SwYHD+BwdLTEllNRMiwsvMvU1AMAWMJhxKJBkiUS3tJ2\nzZd7PTA8oV9mYuL0lu/L9Qh5aTJn4acc4fACmtaOy+VGVdWqCZ2SJDFVZq23XWQyGRKJBJ2dnUiS\nhN9/A5vNTWfnYEPb2SwSiTB+/zsMXp7mQM5WdXhujquvvMLhxx/fYO3GQRAEAoFZRLGTnp6dKVij\nqlEeeEBkcrK118BEubSiWr6EudzHgZBvJDWJRCJ7riZNwh7x3gXYjcTbiJSmSwi33W7Hbrc31Hnl\nw0a8y5NJZ2YCvP66lfHx++oiPOm0IdFpq0FqNwODdL/K1NSDNdsuf6YG5ucZCQaRcol71mU/wcVF\nFN8S7nDEWCgaxfPOuww//HDVbXY6XfgdDgZTCaYjN+luP44yNJQfLChKtqF9ZD14PG/S1zdKe7tR\nrbA4gXUnYPhTX2By8sH8MSvt7ehra/k+prQ3f0p/ZuYXjI3dVeIF3yiYA8NimOe4mJCHQh7SaZGh\noal1E9zqlavUC9+tW6R/+hNcsTjTvb3InzhDW9cIvb3jefvOVsDwDP8VAwP70FI/zt+MoiAgpVKA\nqf9X8r9N55JiZxPT3UTX1dyPjqYZTibmDJnxt+GMYrqZGBDIZNIkEqsoCvT1jbGwEC7S59cmXuWf\nryfNKnc0UZQUDz/cy/HjG+dF7DZ8XAh5PRrvPeLdHOwR7xZgNydXmmXdU7kXgyAUqkw2g0y1etBR\nL8xk0lQqlXeI8HjCvPmmg/b2zUR0Cse7nQewpmnMz7/GxMQDuej6+sj7hGcySEXX0SKIaNkMYiJZ\nsrycSNTcliAIWO85y2u//H8Zm3wUZXKKgbExJElqqn1hObzet+no6KWzs/GJcPXAuAYXGBsrHXQN\nPPAAd155BevqKtmuTvoebK5H8szMy7jdR3fUE9rsu+Zxr60FUVWd8XGj8qFJyAsVSU0Nv1ZEGhUK\nxYJMbb+OIbHScuRTy/2v5rap5jT2hX1ZeP4/2Le2RhId3XOTD37u4cTTX2Zx8Y2cpldAlq1F+25a\n3ZUeU4FYVt6X1QiTphX0/rml8kmmmqbg9b6D2z3B2toC090i6eUAACFZIu0SmZ+/VkTyjKqkhb8L\n/v0GabMA1lzCKZQmmxq5ArUcToJBL6LYwb5999RxZbcPRclw8GCIRx89vCPt1Yvt2gl+1Aj5Rudj\nbW1tr3Jlk7BHvFuE4shcqzXe5oMkm81WLevezAdCq0b/5oNuI8Jfy70lEIhx4YINi6V/i3tQ0G5v\nBbOzv2R09D4slo3kHKVtdI+P471zh5HcsXgsFvpHxwiurqJHo4UobWdllNZIUDKSJv2BK5x+4ndp\na6tVAKW5Aymf7yIOR1dd+t1mYW7uNdzus4iihKJkClFLUaPv4fvyUcusGiMSWcv1HzUfySwmngYZ\nNaOfOpXOJeZ1LHUl8flmcLn6CAbnylxFjDwAVc2iaRoWi61Es29q/aGWR7P5t1glz0BAVfU8cU0m\n1wiHFxgenmJh4ULZ9gpkpZAvYP4W8yTSsNUTc9F1GTPZ1MgPMBxOTHeTisQ56SUm7BJr2QSC4OJI\n972Mjd2X0/anEQRxR/XUmqYxM/Njzp37L/l9HfidA8y9/DJSJkPP4cOMHN4ZUppMRgmFlpiaum9H\n2tM0Dbd7mUceqb/Q1E6hWcGdjxohL9+nPTQee8R7F6CVUV+zyiQUCviUl3VvJlod8a7Vbi3C7XA4\n8Pki/PznCoIwsOn2Csdbbcq2PkxPv4Lbfe8mI5zGcVqsVrofeQTf9B10oHf/AWSLhcFTp1jSQVxb\nRXW00V9UhERRFNLpFNlsGtCYm3uL0dHzCIJCPB7CsMczyKSiGLMlkmRW3iwQTNM6z/wxYbh7kLPK\nK5wb4/wUKnqa34VCC0iSTFdXD6urxt9Wq5yLNJqzCUVHrgtkswYBs1hKZwcKl7/8Yhik0Ngng0Dm\nZw10gcXFi/T3j+L3v0+hfHupD3OBdJpJo0Zk0mIxo5b2uqOW1eDxXOfQoadwOmsP/gxXEw2rtTn3\ncyoVY2npDe677+ktrV+vw4pxbY0BiTlbZJ6j1MQEkSvvElZleuzjJKamzLWAnR/cz85WloK3Oxwc\nfuqpHd2Pm6+9hvedF+ntOsSKfZyhicY7xxRD13VcrkWeeurYrpFTVMNO7Vs9hNy0O9wMITcrGm8X\n250B2MPWsUe8W4TyaGsrtKnFVSbBuMGdTmdLbsRWEO9q57yaXaLVas37k09PL/Bv/zYD9AGrmNXj\nzGilodEsnkI3CKNpW2UkWKq5MuflD+RSMl58Hcyp8YWFy/T3jxIMXswT0YJspVK+omkqqVQaSZJy\npDN3vF3GcsuBtwrnoA/0XglI4126kLPhy+YjnpIks7w8zcjI3WSzARTFfBnIuf0VEUUdi0XAZrPn\nrBQrE0aD0zMofj+6w8HImTObiqoEg3dwu0/Q378fVVVJp1NYLNY8oa5F3NLpVMMin/Pzr3Hy5MN0\ndLi2va2tYmnpJu3tU+hpjZkfPIuUTqO43Uw99PCO3b+ZTAqv93UmJ7dWKAiqSziq6cfXS+h0f+IB\n3sokcFsPERgdZfLkXVven+1ibu5FhoYmWl4Kfu7yJVI/+p98SncjLd3gUiBA9x/+YUURnUbCbvfw\nzDOHdm2UdLcQzWJCXuxYtF50vJyQFyRIW/cg3y3n4+OIPeK9SyCKYtOlJuWJgWBoNB0OB7FYrCXT\nWvVKPprVtnnOTcKdTCZr2iX6/WGefz6BzbYvTySL7e9qOZJEPB6y16/gULJEHA46ztxNZ9fm/YLn\n5l7h5MlHaWvbnB9uIpHIz2TUg/LCN6JoRIoXFy9x+vSv4XDUbt8gw2ksFktFdBnAf+smnRfeoFMU\nUDWdmXCYqTrdHUKhWVRVZHBwf13LNwOLixdwOvsaRro9ly6hXbkCgHDsGKOnNyaxfv9tLJZhurqG\nmf1f/4vDsSgAmZUV5h1tTNzTfC2vYV34CpOTpxtOtMr14yaqEfJsNo3HM8e5p/4vzII/mUwGc7bB\nXM+cuWjm883jeR2Xq2/T92czMP3+Szymjxj5HLrOeChE0OfDPTHRlPZE0cvnPjfREovEjwrMJOZG\nVOmsh5CvR7xN28U9NAd7Z7ZFqGYpaL5MGv1yqCabkGU5X/TGvFlb6SPeKuIN5JNJzeOvZpcYCER4\n7rkIVuskm323ZK5dY0gALBba02kWbt6g8557N1yvGPPzv6K3173ll3o957cW4ZYkifn5S/T1nVqX\ndNfTnrKwSGeOIEmigMPvy0uc1kMkskgmozA8XKkd3am+4/W+TXt7J05nY5I5Q0tLON98k+5cP1x9\n+20Cvb30j9WubBgIzCGKvfT1GQVfnNG1/DSJVRAQQqGG7Nt6MJJKX2Js7MSOFIcyUU7Ijf24w4ED\nT+U05HpOO6/n/wYjATKbzZhbyT3vhCKJ0PYJ+dLSOzgcVpzO7eUcGAERk1yZbiXFMq1CUqrxeRYj\nMbXgdLKw8AFiZz/z2h2smo6m68zZbbiSC8zPByvarJVsanwnlC1X+bkkJfjd3z1PR8f2nZqaiQ9r\nhLdZhHy9930kEsHlat2M3kcde8R7l6A4OtOoB0M12UStKpPF0d+dRivaNh9aYESEobY/eSi0yn/+\n5wqa5i5Z35B2rE8YNU1DVhTIyUoEBMTs5pw/FhffwOUaaJq0YT3CDbCwcInu7mN5y771sFHfVS1y\niaQmm0ueWw+rq17i8Shud+uqqPn9l7Db7XR3DzVsm/FAgGI/HKcgEAyFoAbxDoU8KIqd4eEDANjt\nDnydnQzFYgBkdR19BwpezM29xMjIEazW2rKFAhEoJpIFfX8liSwQTdNSr0AoCwRU11VMudTi4gyD\ng3fh9b4JgGmjV8gHMGb4TKJdkKoUtPqCUCh1b5BxQ89vRs+NoEChv1b7OxxeRNcVurt7SCQC+e0X\nOxgV/2+i+njRjFCW5w2I+R/jfjEJVKnTic93g6mph+i4q5trihP7rVtospWBRx9l35GzG13aTUNV\nV3jyyXb6+vZI2k6jEYQcjMCTKIqoqorH48HtdjfdSvDmzZv8wR/8Ab/1W7/FV7/6VXw+H9/4xjfQ\ndZ3+/n7++q//uuqM6UcFe8R7l6CRSYa6Xr3KpKlT3qj9VshNmhXtL4d5bpLJZP5c22w2HA5HVQIY\niUT5z/8Mommj+c+C03fQb91G1DWyQ0MMnT5TsZ4JURRJdXejRyIIokBcUxEGB+q+zh7PW3R1uejq\navxDcCPCbbR/DafzEJ2djWl/4Ow9TK+s0B1ZJW6xYL93/ch/NBpkdTXE+HilH/BO9dPl5WtAho6O\nYTKZRAWJLPdbNpxLygmmaYtXsNOLs8p7aS89mgq6QFgUEIUp5ucvFpFIIxIZi4WJx1UGB6dYXHwz\nv2+pk/28etGDlM6gDA4wOgJLS2/n7/ts1qiMalzX4jL31VHcLctzDnQdvN7L9PaOEAzOYFrnFUdC\nC+sUosnVrPIKSaeGu4koWpBlR55YFmRbhcTT4kTU2dmLnD79xXVLwZv923BHqdTSbqQdh4IUrjxR\nzux74fA8oqgwPNw6+ZOJpaUb9PQcyhfIufvXv4Sm6WSzmabMTGSzqzzyiIWxsa06O+0sPqwR782i\nXkJu5neZhPxf//Vf+ad/+icEQWBoaAhJkvibv/kbDh48yMGDB9m3b19DcgSSySR/+Zd/yf3335//\n7O/+7u/42te+xhNPPMHf/u3f8v3vf5+vfOUr225rt0LQd7uB8kcUqqqWeB4nEglSqRRdXV1b1lbV\nIpX1VJmMRqNks1lcLteOJ8eYbXd3dzftoajrlRU4zek2p9NZ9fysrcX4wQ98ZLOFCGQyHkd55WWc\nknGNFE1l5ehR+iYma7ataRrBGzfIRMLEQiu0tbVhn5piIO++UB1e7zu0tTlwubZX+S2ZNDy6HQ4H\niqKgaQrpdDpvNQcgyxJmtNGMPi4vT2Ox9NHV1Y9ZuMNMIjUJpemrbE7tm31QlkWs1sqIheEUAqmU\nqQOv7GtmF0gkooTDSdzug+g65OSqeei6TjKZRpYlbDZbfvrd2I/ixFRQFOMlY9ovGtszoptgOmYU\n9sWcgAmHZ9H1JH19A/kopBlxNJYvEMhSD+byyGUpiTSTTkPz8ySvXAZNx37iBAP79lWcj1gsyMpK\npOrgYyMYriY6Vqt12/eWMQgcoLOztWWkPZ4rdHUd3tC/vRbxrob1EjqrQRAEYrFl1tbmGR8/tq5c\nJZPJcOu55wxf94EBDj/5ZMOJcCAwi67bGRgofaYUE+9GanYVJcG996Y4fXqyYdtsNuLxOADt7btb\nErNTiMViiKKIw+FA0zQWFhb43ve+x/T0NNPT06yurpYsL4oi4+PjfOMb3+DxbVRd1TQNRVH4zne+\nQ3d3N1/96lf51Kc+xfPPP4/FYuHixYt897vf5e///u+3e4i7FnsR712C7Xh5N6LKZCtt/ZoZbS8/\nN4Ig5M9NMpkknU5XPeZwOMLf//3P0bQBdH0JQdBJJxL43nkH+dZtJFmm0z1KV7uD4PwaKWm5ynEV\n/lbbVVYuvk6/oqAuK6zMv8HK2hk6+4rJg5Bfb3l5Fqu1E13vIR6/k1/CJJTm9Hjxerpe/rfxv3ns\nVqstZ/tXSAK12QxLu2xWQhQldN0gjcHgDez2Plyu/hyBlCl4LBdIZoFISrl2dZLJJLIsbyvRKpmM\nkcn4OXfukZrLGMWekiXl6Wu7mhj+9JuJ2ITD01gsvQwPV5LhRqF/chImJ2t+n0isEQoFmJhorg+z\n//ZtEhcuIGUyZCYm2P/YYyX34tLS+7S1OVtOun2+G7S372t40aR6EzrN37FYmFDoJuPjd5U4Q5kD\ns+Io+Y1nn+Xu69cRAHVmhsuayrHPPtOwfY9EllAUkeHhyoF8LZnLdqAoaY4eXeP06UMN2+YedhbF\n0X8zQj45Ocmf/umfAvDv//7vrK6u8uCDD3L79m1u3brF7du3mZ2dZWlpaVtti2Klu1QymcxLS3p7\newkEAttqY7djj3i3CNWSK2FzxLeRVSZ3C/FuFMxzYxLrauemVruJRJIf/WgJt/vJks99r7zCRNRG\nj9ZDVwZ8i0mUY1PsO/FJOjbQ1kaCQYasc9jsIoqqIokiPr2XIXeli4XPd42xsXvp7W2MA4ExA1IY\n0ImiVCEpKUYgcJ3+/n56e91Vv68H27mWmUyCpaVF9u1bP6pSPRmslnZ2c1hd9RCPzzA62rrqe0bJ\n8Tmmpppb+TKdTqO89BKHcgmImevXWejpZvyMEWH3+69hsdgaqm/fCvz+28jyIC7Xzu1HNUKeySRY\nXb3G/v1356PixZHych2tzefL014JsCz5GhZkiMWCRKNRxsZObXtb9UBVFSYmAjz00LEdaa+R0HV9\n11od7jZEIhHGxsY4f/4858+f39G2Pw4ijD3ivUuwGfKpqmqeVJrrmlHcrT7MW0m8TTSi7VqDkWrn\nptq5SqVSPPvsDOl0ZbEJNRrFmUjS5nQSSyaxSBKxnm6G60hos7e3ExcEzHhrVtPA4ahYLhC4iSR1\nNYR0m5UmTdK9EeEGCAZvAil6extfbENRFLwXLiDHYihOJ+5z5yr2RVEyzM9Ps3//kzW2UoniflOr\nC0VXQkTffgerpqK63YydvafmvRKPB1hdvcb4eOuq7ylKhsXFm0xOPtT0tuLRKN3JJMjGtbCKAnrE\nmGYOBG4BCn19k03fj/UQDM4BXfT1NbcIzEYwbBRfZ2rqbFUSd+fCBfQPPkCRJJwPPUSv202msxNW\nVgDQ0Um2OchkMhvqx6u1bSaqgkYiEcPvn2Z09DSx2ArF1VCNvw2pjaJkcoVXTPeowvfm9kwpWa3X\nh/n5gQNtPP745hyZdgM+DmRuM9hI7x6JRDh1amcGc2DIfzKZDFarFb/fz8DA5ovTfZiwR7xbhPIO\nbz5013tAqKpKMpnM+dTS0CqT9bTfLDSC9Fcj3BsNRsrbzWQyPPvsHVKp6qRXczpRBJBFifaODnSn\nE0d3fUmHdoeD6OlTeC9fIZtKsRKLMXL5Mp7pOzjP309HdzfB4G00zcbg4Pra741gEu6KyNsG/SQU\nuoOqrm27/VrwvPpLprxLhovNygpzqsr4QwViqSgKs7M3mJp6Ysv92Uh0LC3Momka0ZdfYX8yiSSK\npFbCLDkcjBw/UbF+IhEmEHibycnWFWFRFIW5uctMTn5iRyJ0XS4Xi04nzrjhjrIGWEdGCIfnUZTY\nlhMHa1njVUtKLdjjGevoOvnP19YCJBJp+vun8Hgu5bZh5BkUukmp7MrIJdBQFDWXaCbmvzOtB80y\n9uY2ClVKy7dJfn8WF9/H7Z5iaelKyXeCAP7paTp/9iJOXUcHZpaukvj1LyGeO8jPEovIa1HSTidD\npyfxeq/lnzvrJ6aaCbaFPAFBEFHVLEtL80xMnCYWW6WQvGrmHsiIooAsW5GkNiwWS846tpDkauQ4\nFJJZN9Kdt7cv8MUvHv5QR40/6omV9WIj4t1sV5Ny3H///bzwwgs888wzvPDCCzz88MM71nYrsEe8\ndwnWI5/lVSYlScJutzckYaqe9puN7bStaVpeqw1bG4yYPufPPnuLeHy8ZtRn+Px5bofDZBbmsdvs\nJEdH6T1ypO597d+3H21yitkXX+SUGXlOpVl4+23Sdx9EUUSGhg7U3Ef/7Vvo6QzOiQnaOiv9tMsJ\ntxnhzmazaJq67vmIRGZJpwOMjBys+3iqYb02LOFI/ntREJDC4ZJ9n529xtTUpzeReGa2ZdjGLd74\nAGV1jfaREZwD/XmSkUgkcMWikNuuXRTRApV+xonEGh7PK0xMHCedjlPwhN4cUTScQ0odTIodQKod\nQ4H86Xi90wwPH8Hrfb/qeTX/LNX5F5+PApkzEmh1LBZryWDE+CXkPdRTZ/fxq0vvIykKunuUDt2L\nbzZJf7+bxcXZdeQ7hZyCwvGZ+yEiCFLeM7vY3QRkBMFa5mwiFJXEFnMJjEEkCY4cuavI3cQkiuu/\nvowE9iySJDcksXBm5iXOnHkKu72t6veJK0sclwsOH91JjYDYy/677oG7PlGx/FYSOs1Bw9zcRc6e\n/XwuKbo2zCR+WZa3ldBpsXj47Gf3fWiLquxFvEtRT8S7WcT76tWrfOtb38Lr9SLLMi+88ALf/va3\n+ZM/+RP+/d//nZGREb7whS80pe3dgg/nXfQRQC3ZQ3ElxVpVJi0WS8NH7h824l0ut9kK4TaXy2az\n/PjHc0Sj4+uuK8syR555hkQ8TiaVZMDVvemXmSAIyJlMyWfRyAJiZqpqcRgTcy+/zITPhyyKeD74\nAOVTn8qRbyNDPJ1O5EmWIJCLbumkUhrptNGHEglrnhyaxBB01tZ8xGILDAxM4vFcQdfJT1kX9rv0\nd9ERlUUddRKJFLIslPk8CywpPojlMuV1nSVbP3guoes6CwuLuN2n8PmqkU0dMGdktPz2jMTZFCDg\nu3KVobk57IJIUBRYPHka17ChBVZVjbC2TDyVs88C/Bkryuw7eTKqKBl8vhuMjR0lEIhsmSiWRxLN\nxNOC//L6mJ7+JWfO/Nea5G6zMFxNNKzW9e+L4WHgxGMAxOMrBIPTHDnS/AqY6yGRiJBOh9m/v7mJ\npfVgfv41Bgcn170uUl8fCcBcwtfWRk9/bau9zSZ0mvrxmZm3cbvvQ1UVVFXN9btCVNz4bW4r39oW\njtqAKPp4+mk3bW2V0rgPG/Yi3gbqId7dTaoJcPz4cf7lX/6l4vPvfve7TWlvN2KPeLcQgiBU3ACa\npuWL3piEu7zKZLP2xWx/p7FZfXu53MbhcGwp+i8IAqqq8p3vvMTqqhNBWCn6bsO1ifsWKS2gI+Sm\nvwsvUmP6urCErsMSYdQ1HzZZIpxaxdMxyDFVZ3HxWn6ZwvYgmUig3XgXT1G06daFl+g9ejznUqLn\niJ2M1WpDliUURcu9jK1omrFfktRRZHFnRhSXEQSNY8c+WTSdXVryfrOoVaK+9zP7Cbz6KnI0iuJ0\nctfDD2NzOLhz533uvvtr2Gz1k01VVfOkUtfB+qs7THYZ0fpxdGbiDtxT92HKG0K2UeJvv4WUyZId\nGuLk+fP562KWPz9z5rNYLHLuHBhWgzv5op6bu8Dw8KmGke6tIJWKsbx8k6mpnU2oKoeRWHqNqakH\nWrofAF7vWzidfet6hgNM3X03HwSDWG/eRLVaaHvoITo6Ojbd3nqEfHb2XUZH78Vud5RU6Kysi2L2\nXT2/bvUZl/Wh60GeeKKX7u71j3234+Pi4d0oRKNRuro+3Nd8N2OPeO8yKIpCLFeJrlaVyWZgt0e8\nG0m4Tei6zvPPz2C1foKxMfvGKzQILtdhVm7dJL48T0bSefyxr6wbDU0mk6Q75+nN9QNN01BcEwwM\nGERTEAx7plrRd8OzW8HhcJQMFGKxAOn0DAcOND6Jptq1dHR0MP7UUyWfzc1dYWTkE3WTblVV89IZ\nE6IoIsgyQjZLMrqGGosRTqXpTSZxtLUhSeAaGsL59NPYbPaSKX1VNUj32Ni9iKKQk+kUtl1eVrxZ\nhHx+/i16ew/hcLTuZZfJpPB4LrJ/f/MTOteDMRB6p+luLvXA57uE3e7A6dzYvlAQBI4++SQ8WX9i\n8Gbg9V6lr+8YHR3Oks8NmU/BR784Qm7CiI4rZVHx4v5c2Z6ihHnssTaGhxtr3biH1qOegciHWcu/\n27FHvFsIQRDyEW6zyAlsXGWyWfsCu494K4pCKpXKE+5GyW00TeO5524RCk1hte7sA0YUBRyjfdBr\n5eD4xg4BDoeD4P792O7cwarrzFmtuA4d3JBwm6h2nowkwreYmmpdGfb5+Wv09d2Hw1GpVy+HeZ+Y\nhNsoCGIhnU4Z8p1Tp1h86SV6fX4ioshUewee555j6otfrDg/xVoANNqrAAAgAElEQVTn2dmX2Lfv\nAaxWW5Gmu/hHq6pvNqPi5cR8K/B43sXpHKejY+eSmcphkN03mZxsbYRZ0zTm519ncvL+mi/+uffe\nRbl0GV0UaDt3jpHD9edZbAaBwA1EUaWnZ+u2mo3C0tINHI7RqhVkBcG8xwv9PJs1klnT6VQuERXA\nrKxqJryqmEWwCmXujeewxaLz1FO97N/fWgvJRmEv4l2KvfPRWuwR7xYimUySTCYr5B1bmZ7cLnYb\n8a6WUNoofbuu6zz33A2WlycQxezGKzQY0WiI1VU/hw6VJlz5rl9HX5hHkyQ6Tp7CmdOHaprGwOlT\nBAcGyCST9I+O0tbevml9uTnVnEpF8ftf3zTp9t28STYYRO7tZfjw9vytFxev43Kdob19fR1htYRR\nq9VaQsp0XWfg6FE+mJ0BRaHXbscuy+grK8SiUdra2/PacDMaKIoCs7MvMzp6Jq9FFwSR8lNq2q+Z\nSZaV0/vFc/yFKGK9cpWlpcs4HAM4ndurTrodmGR3YuL+DRMWt7r9Yuu68t/FBHB+/k0GBk6wtuYr\nSVI1rp9GYH4O+YUX6FGy6IBn8RJrzzxDu7Mrv1whcdQohS2Kct7VpDQxtXJfzXXX1pZJpUIMDg7j\n8YTR9dzMSlE+g/G4Kk2crV/OUUhKXW8ZXdcJh73oehc9PRLxeGlScPX1C4NBVTUGjhaLJZ+fYLik\nmMW4zP8L8jNdz3D4cJKpqV6SyWS+4mqhGuseWfuwYyPivZeM2lzsEe8Wwpgy1/K2d9FotMICbqew\nW4h3Mwm32cbzz9/A6x3PvYyzO3rMiUSEcNjDxMT9JZ8H5mZxXrpEh2gc4+Ivf4n96f8CkO8TPUND\ndUW4a0HXdTKZBF7vL9i378ym1l1891363nuPdlEkoWnMR9cYv2drfr5LSzfp6DhBV1ftxLNaDi3F\nx25cN0O/nk6nkLucDDociDkruZgs0yGJOUcXMa/fNhxUfkFPz0FAIJlcA4zpeNDy2yz9KXUxMR1O\nDI29iqbpuUQ3NR9VLCZkxclv5qAhHF4EdHp6BonF5oFK0lbr/1KCV9l/q7uaVJ5nXYeFhVmGho7g\n99+oSuRMola83aI9Ktkfs7JqKQqkDgRUVc/dz4XPBUHC632P/v4zSFIbmlY4T0ZyqrGMFlliHwMI\nMgiI9Ok6N5PdDB+5m3KnE9PVRJbX964vRzS6hCCkOHas9X7V4bAXWXYyPLy1gW42q6Bp6oaSPFOu\noihpJieX+cQnTqNpRv8ufyeZ7iofJkK+F+EtxXrvvHQ6vakKv3vYPPaIdwvR0dGRt/OCUgK60w+I\n3UC8s9lsXlLSrITSn/zkBvPzo0iSXHSsO3PMyeQafv/tCtKtaRoZvw87KhlNQ1VUrJkMi3O3cfY4\ncxErw5c3nTYJnZYjfErenaRAEpXcdg1ymM1myWbTSJKA1/seY2MHmJ29lJuihkpnksrPfJdeRUzF\nMdNPly+/jjjUDggo2Sz+d9/FEo2htrXTeeIEFpsVh8NBgZgZfdrvn8Fm60PTponHp/PnwIwWGt7L\nCoqi5PZPylmhFUe4i3WtZiQaxGGFX84s07ESJiNJCEeP0ht4N5fgKuaj0MvLd3C5DhOPrxGPx/KE\n0Djm0uRTXZdzpELKEQyKXExM0mhGt8U8+TS19MY2KhOWV1Zu0d+vMjAwWSJV2WxfD8zNEXvjDURF\ngUOHmLin1InESEDVaxKv2dkrnD79GzuiLY8EAvh/9CPaIxGiLieDT38WV65QhsfzJvv3P0xnZ9+6\n2+id2E/qnYv0aMY967FY6J+YQpYtDdnHRCLMysr7TExUerzvNGKxILFYbEeqUhr9VsftDvDEE8dL\n3gfmjEXxTy1CLklSBRnfDWR3j3hXR7XzEYlEcLlcLdibjw/2iHcLUR6FKS5i04oHRLHLyk6gOMJt\n/m8SboulMS/SYjz77AUuXkwhSeZ0rU4yaRBSi8VWQUJrnYriaeUChIplipHNpvD753C7D7Ow8Bq6\nrmO3O9B1kCSBlcwCmegtrBjELSQItAlhMpkskiSRzYqYkcOCTZ2ILEsIglkYg/z3hhWeESk2dfLL\ny5d54IH/c0sRc617hTG94Pqi9HQzOmoUOZh98efcH/v/2XuvJ0mu88z7l5ll23tXbafHG2AwmBlg\n4AhCAEkQJASJDH6iliG7eyMpQhtSKHSjiA39B9LNhnZvuEZacWVWFEmQAiGCIAaGGGC8d+2qXXW1\nqbbl0nwXWSczqyqrurq72gBTT0RHVWdlnnPypDnPec/7Pm8LktyCEYe7Q2k6X3qBqqrsgMlI5Da9\nvWdds2Ka1njbwi1JUp51PztDZfYzIu6lUOg4qVQKj8djTdqEewnA1NQN+vtfor6+DacmdDZRcJy3\nbuTUbVjXVvT3esh1V5mbGyaVitDRMeC6wiXaIz7FtlzE19ZI/dtPOJiZrC59NMtUXR2dBw+u2yaA\niYnbNDef3rGAzug773BiNvPszc5x82c/o+Hb32Zq6gpVVd3rkm6Azv37GXr+BSLXTR9v35mz9JYp\ny10qlWBq6gMGB0+WpbytIJFYYXZ2mv7+nbO6NzRM8Oqrh7PuNUGm3RRWNE3LI+RCicuJQtbxCgne\nPRSbiGynlGAFJirEexdRTMt7NyKKZVneETlBkbDGKZko6t8uCaOf//wuMzP76e3NVi9ZW1tDkqSM\ndXZ7kEolGB+/yNNPfxNJkojH4xiGYRFTXddpbd3PhFyPNjmJ4fHQ9cRJWvv6y1K/pulMTl7iwIGX\nNu2mUnP6NGM//znN8ThzgQDVTz5p/eZZWrbIqiSBb3kl7/jZ2fvIspJHusW9IO6DYoTbOVjkuic5\n76Oqqqq8lRLDMJicvEFt7X4aGrocZEHL9JHdJmfgpP1p+/c6yXguIXcj48KiriiwuDhNOh2mr++w\nw2JvWJZFp15zbhnZ6ioysUiE9ngCMqsBdcD09DSUQLwnJ+9RXX28JLJbLnjW1vL+n56+gdfbQGNj\nV8nl7Dt3Ds6dW3/HDcAMLn2bgYGdS5NduC0pJibuMTi4dVUX+/4sTnL9/gm+9rX9Jb8fJEnKC/53\n3sduf7kQJNxpJd8uMl6xeGejmHFvYWGhQry3GRXivYewm+4eon7x8tyOF5QgWfF43CIWQjJxeXm5\n7PUJnD9/n7t3m/F4yisZuDw3x+KlSyipFHpnJ6FTp/L2UdUUY2OfMjj4rNWnop9NP+a01RddTzyB\n76mntpRhLhe6rjM6eoFQ6GnLCr4ZNIVCpL71LZYXFmhpaMjyAUzX12MsLlqrAKm6WpzuO3NzQ6hq\nio4OmxC6EW6R1toJJ7l1s3A7CbfTyp2LmZl7+P1dtLTkEn87+M8mv26BkzgIuNNCbv+ebx0HJyFf\nXZ1jaekWPT1HrPPJbWuxbIa574VgQwMRn5f+tAqSxIph4GtZn0hHIg/w+fbR0NC57r7lRKqri3Q0\nileSUA2DmQaDfilAS0v/ttRX6nvUfEb+jb6+47suoWa25Sr9/TsnpagoU3ztaz1b9ut1TgqdcBLy\n9azkn0X/8c8izABz93u9YvHeflSI9y6ikMV7N4n3dsCNcOdKJm6Xm8uHHz7g5s2GgqR7Kxrgi++f\npy+zzJ+6f5+pQIDOo0etfVRVZWTkAgMD5/JII0AikbDasJWgyWIYHv6Inp6nWM/iVQipVIpkMklN\nTTU+n4/m9nz1jZ7nnuPh+fP4FmOka2ppO2Mvjy8sjJBMrtDVZZJNN8ItyzKR+/fBMOg8dAivz5dl\n5d4K4QaIRh8gSQ2uBE+SQFFkFx9yp4qJ/WkGTmaVkEUOcgm5yCQajy8yM3OBgYHH8iYTuUv7UFo2\nw2BVFcsvfpHbFy8iqyra4CC9g4Mkk0lXAmT2xSiyHNo2slsMB155hfuBAPLcLItBle7HjtLaui9z\nLd0VT9yCXMV3TdORJHt/535gkE6raFo6445lZPYX10TPTIgkJiYu0dbWxuTkDcRzIknCpUj8n+ti\nJiFiJEQ5YFjuaoYhAmrt+8kJp7uSE+PjQ3R2HmB6+kbWvs79nO1y/p79abZBVc3gSjO4Nv/50PVZ\nfvd3z1BXt31KWk5C7pxYb9R/fCuEvGLxtrHeOFsh3tuPCvHeQ3D6eO8Gyh3cKfx2E4lEFuEOBoOu\n2sqbOe+VpSXCly/ja2hg32OPZbX744+HuHatDo+nuBvJZupNJBLUrq6B13yEfLIEsQXrd5N0f8TA\nwDnrXIWF2zkIbBfhBpN0d3efRlECpFJJNhpEOn33DsbHF6hOpRhubiL0lVfxu7jkeLxeBl56yfo/\nkUig6xqLi5Osrs7T3X2ioIVbkiSGfvADDi4sIBkG9+7cpuf1X7V+c96TInmOgKnl7SlqpZybG0VV\n/bS3uxO8XGJn/2Y4tmnW/rqeziiYpDEM0LRUpn3CZSWdOT/dcjnRdY3paTOodXz8mnU+JrKt4yac\nZDyX+NkEzzBAqgPfF04ABophMDV1I0M8s48DWFqaQ1UDtLZqhMPTJfjZGoCMW3Bo1l6uSia5+5jl\n+QYUVtt86GsymqYxPn6dbC10O5bBbl92IKu5zQ649Xicv9nfTRKnZ54xj0XUxMrF6LWrjN7/KaGD\nR9i3B/y6R0YuceLE16mqKh8JFsG1btZsTVvglVcO0NdXHh/5jaKY/3ghMp5LyCv+45tHoT6KxWL0\n9/fvbGMeMVSI9y6imI/3bqBcPuaCcDs1ygsRbmfdG3FzMQyDa7/4BVPf/S7P1Nfj8/u5+vjjnPzO\ndwC4eHGEy5er8Hi2J/12IBBgrqqKpnTG4q0b0NCYWUrVGB5+n+7uJ0mnEySTptyd+A1A11WCwQCJ\nhNCX1qxP0ypnqnqIbHO2VU9YS3NdEbLvmampezQ19TIzcwtVNZPP+HxePB6FbMUSdxiGwcy7P6FT\nU1mRIDA1yrW3o3Q9+STFrOeSZMpRLS/Pk0wu0tnZy8jIeVTVDpoUhFmSIDIyStv4JSYzDQquGVz/\nIEFHxk/ZHnR16xztwTrb6pdpAYLALi/PkUwqtLb2MD7+MU5JO5Pgicx9plqJIHi2uoltqTN9Ws1A\nViFZZwc+yo7rgEX6PB5PxtXoA06des01kDPXaieel9zJoHgmS302xDFiorO0FAXq6erKV+twtmOz\n6iqlYm0thq5LHDmy/a4Uqmpma3STE7zz9tsE3vtbzkgGa3eGGFF1+p/IdxXbKUxM3KC5+UhZSXcx\nqOoSzz+v7BrpLgY3Qr5Z/3HxJ/apEPL1rf8LCwuccnGbrKB8qBDvPYS94mqy2foNwyCZTGYsnuaL\nzu/3EwgENpVdsRiu/9M/0fy3f8vpaJS7kkTd44/T+umnLH7969y9G+XNN8PIcjGfRXMpNplMmsv2\nDum77HMqrFayOtDChTt3kVQVrbmJ9hqJycl7hMPXCIUeY35+JpNBzoQse/B6vWiaOYAoioEkKZk/\nCVlWUBRz0IhNR4hn/MfTra10P/e8lehFlhUHYcwnY2NjFzhx4leprjYloTRNI5lM4PX6SlaLSafT\n+P236HSSwpoeQqHTRY4yMTc3SSq1xOHDL2W5hPh8vnwf7jUvncEJvJl1e90wUFsG6Oo6nLdCUIqF\nW2BxMYqiBOnu3h1LprDQh8PvMzh4OmtimWu5cxJ8N0Ju3iuKVa6zDufxzvLA7C9N01hamiceX6O/\n/0mrvPWCOUU5pairlApTNeQhg4Nf3HQZ5cLi5R8TQqVOCVKnppm7dh12iXgXy0q5VeS6pQCoapzT\np1UOH+4ve33bhVL8x0sh5PF43FXy8FHCesQ7FovR1LR7WXQfBVSI9x7CZ5V4b4Vwu9W93oswlUpR\n/fHH1GRewocMg2vhMPWDg9y8OcG1a8309JSW+lpYoquqqkvaPwu9wOPZJGJ4+H2eeOINZNmbSchi\nWkCdLiWpVApVTRMIBAuSyMWfvsNRTQLFjz63yNitu/Q89dS6TRof/5TGxkGLdDuxkevq9XpZ6WhH\nn55GlmRihoGvv2/d4xKJZaLRK/T2nrBIt9frdSX8hmHQMTDAw9u32T8zgwTcb2ig9+Ahksnkpgg3\nwOpqjFhsjr6+syWfb7khSRKjo+fp7z9pTZiALMLrDOoU/+eWkUvEFcWUh3z472/jjc6SrKmh95VX\nCDhcgMQzJEkSicQac3NTHDz4QhYhd2Kr6iqlEBdTNeQqAwO/suG+3Dzc7/do9DaSEqfZ4YKmb5O7\n13qIRkdQlHqamnYm0FXTUhw+vMgTT5QmObnXsR4hF8GcwkXNjZA/agGdFR/v3UeFeO8ich/sveTj\nXQoE4RbyeGAS7mCwMKEsV90ANT09zM7O0qyZiWc+6jjI7PUmPJ6NiP/nE34zo6iG378xFZSHD9+j\nufkIhiFlXETkTflwp9NpAomkFVElSxJyfG2do2Bi4jI1NT3U1jZnbd/sANL01NPcuHyZWo+HYG8v\nbev4/a2tLTI8/B4DA6aV2ePx4PP58vZzuhQpisLga68x8eABuqrS1ddnDYwbJdwA8fgyMzNhBgZ2\nThXCDUNDvyAUOpJFusFeRnfCjfSKTzdL9PA773D05k2UjL/3jXSaI9/6lvW7OHZ1dZnJyXsMDDxv\n9akbodiquoooo5C7iqnU8Sl9fV/cFdUQ57nFYiOoapT2F19l7K236EgmGa2rpeHZnb9fYrEpVFWm\ns3NgS+UYBqysLOPz+Yoqk+i6Rnf3DM8/f7TgPp8X5BJyYQSoqqraVECnsJJ/nvzHi1m8K8R7e1Eh\n3rsMZ1DhXvHxXo/8GoZBIpEgkUhY+4q095sdWDdCvH0+H/FnniHx4YdUnzrF+/PzjL/wVeb0F1GU\nzb4wzPTjU9eu4rl1C0U3mAp10ffCF9Z90eq6zoMH79HUdBifr6pkwl3oXL1eLyv19RhLi0hIJHQd\neZ0kIVNT1wgG22hoyFcd2QyGP/iAxps3GcBgor2dUBFioqpp4vE1xsbepa/vpHVP51q5nYTb2aeG\nYdDqINyyLOP1ejd8L6VSCSYnHzI4+MKGjis3RkY+oL19kECgtPgCZ38U8mt1Wsi9s7PI2PePNxol\nkUhYxEDXTZ/+sbGbDAy8kNWXbsTZ7ZqUwzoO5rUcGfmE7u7nURSl5BgON2RbK9dXQUmnzYRMpm++\nxOpqlFjsFh0dA3h6W1j65qtcjMzQ0tMNQYPp6YeQSXQEIm5Cz/wvObYJX36387DvWUmyXdWcwbKS\nZK7KLC3N0Nm5j/HxT0TvIhJhGYYdnJtdXvZvmqZy7wc/omU8TNLjIX36SQbOnM3EiZj3gSybE9j2\ndo0vfenlTfX95wWlBHQ6JQ8FIXcGdX/WAzrXczVZWVmhtrZ2J5v0yKFCvPcQ9rqria7rlkuJGEC3\nSrhLrTsXx3/91xk5dIj43Bz+qnbmLtahKBv3S7PrhZXFGNU3b9GoKCBD49Q003fv0nn4sOuxYglz\ndPSXNDQcoLq6viTC7fbCi46OkrxxHQwD3+EjdL38MiMff4ySSiJ1dtJ19FjB8iKRmwQCTTQ2hgrU\nV7Q5eYjNz9N88yaNGX/sg7NzjF69Sm9OwI2qqpl09CnC4XfZt+9JAoFAlnoJFCbcov+chNtMD7/x\nZX9VTTE6esuVdNttKUTS7ODUfFUTg2yZOvK224GuOpHIHaqr65mfDzM/b1jSdUJW0C2OwJyo2AGv\nzv1MomVuE/tNK6vUJM0MkAYwWSfB+G0EqdN1nYmJB3R1HSYSuY4IKDVjA7KJodn15vURv2magSQZ\necRPwG6P7Ih5MDJtNQm4IIiTk/dpbj7I1NQ1UStCgtH8BJOs5maMFWTX/F2QTWeGVrt97ioouq6h\naQaGIZFOrzE/H6G723R18XhkWjsk2jrtcuxsr3b8hGiDuCftzLGbRzy+iKqe58yZV7dUDsCtf/93\nvjQ2h0eqhjQMXbxHzRd/lbo6kzgJacm6ugW++c3Hdl2nfLfgvL/d4CTkwmCw1YBORVH2JBkvRVrx\nUb1PdgoV4r3LcFq83f7fSRRyddF1nUQiYfndSpKZ6dHv92/pAR2+dInVX/wCQ5YJvvACTX19zE5O\nMvejH+FZXUUdHOTor/1awTr6jx1jaCjC+X/XNkW6nTAMg8TqKqIUQcDUlSVSqYTYmrGCqKRSSTQt\nzeTkNWprQ3i9Eun0EomEminPlKGbvHwJZXYW1eeh7sQJahobSKVSpFJJfD7TErm8vEj6nZ/TmKlz\nLnyJ6NNPUzPQhEoVkGB09AKQTaIlCebnJwEPTU0dLC9HHORNBkyyomkaiUQSj0exXD8EebJl5+yC\n56NRatbGWPHYBDga8aFMKICBqmqoqkmuTKm8O/T27md+fgKQMn2jZ+TeTIUQRTHJjOgbU3HCvM9k\nWUKWvXg8stU2+7rYmsTinJ0BYybB0xgfv0139wnGxm5b+wiCZtYhyhbEyU4PL/6XZdkq2+wPxSJa\nplXLdtMwl6GzJeymp2/Q3f0sDQ0djjrFcnX5BuC2b5xm+M03CczOkqqv48TLrxCosWMURkY+4skn\nfxOv14+7FKB7IKfz3spPBmRkXYNCpNyJ8fFLPPbYG1RXN+dYyt3blN2nW1dXUdV0ZhKgMzHxKSdO\nfHnTZZUL5qrMLxgcPFGW8uS1OB5HH9Unk6wsLVFXV2tdL48nyuuvnyg5sPrzhs2Op+UI6NyL/uOl\nEO8KthcV4r3H4JQ+2mnkWp0F4XYmegkGgwQCgS0/tFNDQ/j/1//iQKacO8PDLPzBH7D4ve9xJlNf\n8sIF7tXUcPjL7gPm6OgM/+f/3COd9iJJYw7SlL1f7nvXqVSiaWlSKRWfz4thwHB6hs61NJIhsSBL\neAP9zMw8RJYVdN3IEE4dw5CJRu/S2DhAdXVDJlGFjmGIF7VC9M4DusejeBUFOW0Qvnqf1le/iter\n4vOp+P1+020mcpd9vg4kWUJGokuCMamN3r4nivbh7OxDOjo6aW8vHihlGAbx+BqK4ikpO11Hh8bw\nUJruhRiSJDHu9XLgqdeorq/P6AKb96fH4yUcfo9z5/4DXq8g9EZmYpJyKVn0u3jx2xbuzd5Ouq4z\nPPw+Z8/+hqs/+U5hevom9fUhmpq6t72uQDDA4W98A13XSKdVbJlFDxMTn9LXd4aqKtPiKazQudk5\ndd2WthQwJxlSzmd2MiCzTCOPkGdP+GBq6jrV1QPU1eW7SOWScHN1QSQoAmfG0FwSbk5gSifkqqoy\nOfkJg4NfKGn/7YSu64TDb9HfX3j1aqOoP3qEkUsX6c+sQj7o7uF4h9PdbI6vfKWP6urtkVX9LKFc\nRLMYId+phEAVfLZRId67DLdAJ+fS/G60Rdd1VldXSSaT1nZh4d5qmyLDw0T+3/9j4fp1mufm6Bkc\nRJIk9msav7hxg575eagyBwm/osDkpGs54XCUn/40SUfH1pQrVDVNKpXC7zcVWDo7DjN//TqSptOz\nfz8NbW0Yhk4qlc5SKZmdvcXBg+dobOwqWHZCu0trsN76vyWt4fdXEwhIGYu3D4/HS1N3L6vXbljW\n9iUMqltbC5Ybi0QYP/9jtLRE2+NfgHXcuu1rVprlR1EU+r72dYavXEFSVWr378cbDJJMJjK/e/D5\nvIyMvEt39ym8XpFp0iRhiqIQCAQdZErPDDy5vsWmH66q5hO+XAtsIQwPf0AodGZHSLeTYDoxM3MP\nWQ7uCOkG0DQhs+gMQvUyMXGRlpZDFukG20XFdKOwVzAE2RUuN3ZmTnASX9sSnWshJ6sssAl1NHoX\nRWmhvr6jgK+ykzgX9mm33Xny+0DcI7kBnU4YBoyNfcj+/S/uiaXz0dF/o6fncFkTZnXu38/Eb3yb\nqzeuo3k8HHj5ZUuyU9cXeOmldpqa6tcp5fONnbLwluI/Xgohd5M7LGfbi/VHIpEoyThTwdZQId57\nDE6r804Tb/FAikASWZYJBAJlIdxg6klH/sf/4Il4nCVJgslJbvv9HO3pYdIwaN23j9i1a5CxlqY1\nDaOjI6+cqak53norjiSVI5Aw28ofrKom9NTTmW2mT3uuLODMzC2qq9uLkm4Ao6EBdWICT2bQX6uu\nocXrzXvZNrS0MH32DKM3bgIG8qFDdIXcSVwymWDyR39Pa1Klq6qHxY8/JlpTQ2tv77pnupEVV6/P\nR/eTT1oWbsPQLcItSTKjo+/R0XEcny9gkSOT5JnHC3cPk3Tb/ScS5+QSv80QvuHhD+nsPEkgUDwz\n6VYxPzXN7E9/indlhWRrK/1f/5ol3zc3N4KmSXR27tvWNoDZZ0JxB0yfZDNwUnIo2pTmciUsxyL7\nI9jWcUHEbQIsJk/28U7i67SOz84OAzW0te1zlFuau4qbJVFM6GyreDYhz7baZ7urjIy8R1fXmTzt\n+N3AyMi/097euy0TxNDhQ3D4UNY2VV3ihRca6OpqrFhRdxnFCLkzkFP8OeNjBMoZ0FmMeMdiMRoa\nNqIKVsFmsPtvpEccbhZv2NkAS9MHOGFZuMGUXSoX4RZYWVmhNRYDv5+61lbm+vsZSyZJBYNIr75K\nZ28vK7/5m1z5yU/wrq6S2reP4zluJtPT8/z4xytAPiHfGpyJSfIt3CJoMhK5ic9XX5J1s+uxx5hI\nJpFnIuh+P01nzmTX6LjEHYePwOEj65YZHrpB1WqcrjqT2NRLErGpKSiBeJcKEcUvSI2TcAOMjX1A\nU9M+AoGazAQx2xJsuuSoeYTb6VLiHIM2SvhkWSIc/pSWlkOZNmw8gHQjmHv7bY7Oz5ltHR/n9jvv\ncPC111hYGCeRWCUUKp/rgBvM/kxbEzZJMlVfBGmenr5JMNhKY+PWJqLCOg5K3vVx1x7Xs4jv4uIU\niUSSrq7jaJrm0B63ifR67ipuZNycIGS3dT13lfHxj2huPkYgECSVSmcRFVmWrP3tgFvIDb4168lW\nSrHrFisFYtIpjnEqn5j7RCLXqK72EotpxGKiXjsY1d7X7Av3d657UK64PmIfc8Kb4vXXj3DgQIi1\ntfVlSD/v2Ks+zZIk5ScU22RAp9NKvt55FuMWFSnBnUGFeFznA8sAACAASURBVO8x7KSWt6ZpxONx\nyx9X+JcLtZJyo6amhtGGBrrjcQCq+vvpfvVVDr/8MqqqsrS0RHMoRO8f/7Hr8dFojDffXMQwilua\nNwLn4FWMcJv130GWq2luLo3kSpJE99nCrjAbvcZLSxEMRaKqzrYmxnUdpUQLxXr15RNuBa/Xl2WB\nDId/SX19D9XVjZgkwVm+6VOrqkJ6S8oQxOI+3BsjfDpjY5eore3D56uy3F9sf2SnlTy7nuJydLkk\nyxHnsDjFoprEQMcA4nNhxsevs7AQprPzGNHosEW6JClb+9oMcMVqu9gGEkIRJfsaSdZExp7AiOsh\noyjejEXX3G9+fhxdV2lq6mJ1NUyuVVl85gan2tuMvP2kTNBt9u2Sf62BjGqInpHH02hr6yUcvoCT\nKJptFddDBNpKiKBZca5muUZO+0zIsqno4qw7vz0SYBCJ3Ka6OsTCwhgLC2FHubZSitmHgqwojvvH\nGUQrWW3OVT4xf8/WmPd4ZMe5msfPzNygre0ADQ2tmTKEn7od9CuOKUcArqYlOXp0kSeeGNy1WKEK\nNo9SAjrXs5Kv5z/upjAlsLCwUCHeO4AK8d5l7IbFO5dwmz65AXw+H4uLi9tWt6IodPz+73Pln/8Z\nTzyOeugQx3/FlPda77zn5hb54Q/nMQx3ybxisAlXPvHStDTxeDxDArTMxEPG6/UgyxLJpEmY5udH\n0TSNpqYeotFhBGES1i1Rrk0isq1kYh/TSqZm9HUlKyhRwHk72N8lEokl5uejdHYeZuqgn9E7d5F0\nDb2ri86qWcbHZ63jbGJik894PIEkSfj9Xmub2M9UGUmjaabVTVHydbR1XScSGSEYbAZ0lpZMBRNx\nbqqqOSyyIMvCwm2fkDthkrK2GTnyeWKbGCgikZv4/QE8Ho3V1QeZ64gl15d9+5jESRC9bIIFQtkk\nu68kS91EWGBX6yWSa/PIyKiGTry+hVhsnu7u5x0ky7bG2+XZpArcZercFE9KncDMzT2ktVXfETeX\nYojHl5meruLYsectK27uhMktvsAtmNPp2y/IOJTurhKJXGdg4DlaWvqsSaTX67OeSyeBcY95KJ+6\nSjR6h5qaKtra+jZ87GagaSr9/VGeecZMkLNXLb07jc9DPzgJudNKvpmATtEfzlUpgUq6+J2BZOyW\ndl0FgK1lLJBIJFhbW6O6urrsQQ6qqpJIJLIIdzAYxOv1Wg/f4uJihmDu7MOn6zqxWAyv15sn3r+w\nsMR3v3uTxUXZspIJUqXrRsYa5k6+7IHcln4zDDLLzZLV907C6fH4so5ZWBgFJJqbexDELJdwCRLg\ntGDZ9Tsl7STrmhfK7JiLtbUYkcg9BgY2H0i6traGCJIVEO0QL2iRuCY3iQvA1NQtfL6uTB+I3wRB\nVCGju+zxeCw/7nJjevoKPp/qml7bbYm20KvNGZRXyvJsMpFg9J138K6ukmiux9fXz+DgF8t2XvY5\nlN6fsdg4q6sPCIUOlL0dG0EqlSAcHmFwsHgqeLF64STk7rKC669e5EsdAhjMzj5A06Cj42CmbWZ8\ngs/n7jJXyF0ll5AvRGaIvvUWvtVVEl1dHHnjDbxeD4Kku2FhYZhEYobOzv1F+6Vc0HWd1tYJvv71\no1abhIHF6/U+0gFz6XSaZDKJ3+9/ZCQV3Qi5W4IrgPfff5/z588zMDBAIpHA6/XyJ3/yJ9sWkHzh\nwgX++I//mAMHDmAYBocOHeIv/uIvtqWuvYqKxXuPYTss3qqqEo/HLZLpRrjd6t9JC0Gh815aWuEH\nP5ihru4UdXXlqSvXpQTMJWQ395r5+RFqaurp7DyU99tmIctyRpVi/WucSCwzPX2Hffue3lKd2ZZn\ng1QqVRLhNgyDmZn7eL1tFunOJ4imtOB2EW6AmZkbyHKCpqYe198LBeblKmWIz0JZFvO1rSX8gQAH\nv/rVDMkcKjvpNgzbzaeU/lxZibK0dIfe3vVjArYTqqoyOvqAwcEvrbuvufIgFw3mzFZXySXl+YG2\nTkK+sBAmnU7T1XUsh0SbpFRYsLPbVFhdxekuNPODH3B6YsI850iEK4EAh778pUwZudZ6idXVGVZW\nwvT0bK/vvxN1dRN89auH8p5zs42fXUtvBZuDW0CnuK/FCq+iKOi6zuXLl3nrrbeyjv+7v/s7Dhw4\nYP0dPXqUM2fOlO1eOnv2LH/9139dlrI+i6gQ713GdrqapNNpEomERbg9Hg+BQMCVcLvVv9vEe2Vl\nle9/f4p0ujyBg24+3F6vh1QqVcDfbYx4fJFQ6GhZ6ndD+NIlpLExNI9C/ZmzNLTbAXKp1BqTk9fY\nt69wuvaNwDCMjEqLcAmRXDNtOgPfZmcfAnW0tAwUJIhmYM/23SvR6D0MI0Z7+8CGjnMSq0Kp2HNd\nIgolwNA0jXD4HgMD65PMUmFkVDlytbg9Hk/B/ozHF4lGLzIwUJ4ELJuFruuMjt5iYOCVTV97250o\n37d/I9rjq6uzLC9P09NzyvJ3dUotilT1TncVUY+bu4ogJWDe79WxBcsXygP4FhYyK2f5EoyJxCIz\nM5fp6zuJqqqOyWBp8pibgc83wde/Prgn1Fv2IioTEBO570NhaPrzP/9zvvOd7/DgwQPefPNNVlZW\nWFpa4tatW1y9etU6/q/+6q949dWtZ1uFnRWP2IuoPKl7DOUIrkynTb9lEXDh8XgIBoMZC1rxl89O\nBnfmwnQjMetdW4vzL/8yQSq1df/IYkGTZn0pcpeXFxfHWV2dpbu7/ARHXIPIvXu0X75MVabPR372\nM2q+9S08Hg+pVIKxsUsMDm6ddDtJh6ZpRQm3+JQkibm5EWKzCbxxmFobprGzq2SCWC7Mzw+jqtN0\ndg6WrcxCAUy5VnHxmU6nGRm5SW/vy6hqGlVVXV1VNjKuF9LiLtafZtbD8wwOFk+stBMYHr5GT8+v\nbAvZE4S8FO3xeDxGNPqAvr6zOUmbTDUVWTafcTd3FdMtrbi6iqIorDW3wJoZpKkaBnpbqyMDrL2q\nkkyuEYl8Ql/fkw5CLurTM8+VjCQZmTZJ2CooYMYriGdQdzyPTkWV7O21tSl+7df2bUswfAWfP7iN\n67Is09PTQ09PDz/5yU/4sz/7M06ePEkqlWJ0dJT79+8TiUR45plnytaOhw8f8gd/8AcsLi7yh3/4\nh2Ut+7OACvHeZRSyeG80It0wDMulJJdwb8SvbTfkDJ11G4ZBIpHgn/95lGRyYxbOXKynUiLqNPe1\nj1tammZpKUJPz2Nbqn89qLOzFukGaFxZYWV5mZraWsbGPmVg4NyWrDSCNDoj3v1+/7qEW5IkFhYm\nmByapO3yGB3pNIvA2OOP0X/2qbIR7ujoGKv37qEpCqFzT1va2AKx2CRrayN0dxfPzFlO2H1gk5vh\n4et0dj4HqKRSyUx/iqBaoVIiLKjmcaJ/hNyiYWgWWVTVVCaQ1UBRBCmUMQNy7XrN/wXZ0hgf/4RQ\naB9jY1cxDFMVxb49soNYnbeN+VzZEwMRB+F274v9ze1SXjkAk5NDNDUdJBK5ljPZkBz75vZrbh0U\nhB08mauskn1umpZmYuIOXV2DTE5+jDl5NjAVQ8R3yboGkqQAgvCaRFxYo0W5QtbP+f6Tn+3mrfdH\n8K7FSbe1MXCklnD4g6w2GYZBOHydnp5DRCJ3swi5KEqoquTGf4hJhnBbse8HEAHAdjyJfYxhxHjl\nlT4aGrJjYux2VSy9UOkHNxTqC6ecoM/ns1xNyom+vj7+6I/+iFdffZVwOMxv/dZv8fbbbz9SKzaP\nzpnuYTgtvRslvoJcxeNxy4XA6/VaFu7NtGUj9ZcTkiQRjyf4yU+mSSbzlRrc5eCyv9uqIWk0LZ2n\nUpJOO6XdzGPW1lYtUh6PLzA/P0xX1zFmZh4gAjgFyRHqKGZdwlolIVRMxECfTaByzxMSiThz6Qmk\n5SG8GZI27fHQOH+bm7fu0N19hKmpT3NIlE2Eil8eI5MRUkMEiRoZ6biqqkDWsbpuoGlpvF6vtX1l\nxZSG026P0bw0w4QEkgGxKxPM9NtBWm7EKPs8c4NzJKs/Fmdm0N99l5bMPfvp/fP0fOVVa1KwsrLA\n8vIMHR3djI0NZZ13ttpJbn84SZS9zeoZh2KKrmerp5i/C59d8/vk5FVaWw8Rj0+QSNjycnadBtnB\nfnbArQi+Exq74r7weBR8Pm9mEmj7cecG4TpXn0ZGLnD69HeQZY+rEspOYXz8IkeO/Dq1tS27Ur9A\nOq0yNPRTTpz4srWSJ5R4xPvUTXvcDbnBtrmrIbquc+yxL+Qd73THGxo6z9mzbxQNlnbeL8WCOTOt\nwqmuIhIeiXtFVRd45ZV99PeXI4nY5xuPuluDE+tNQnZCx7u9vd1yWenp6aGlpYVIJEIotHHFss8q\nKsR7j6FU4ltuwr3R+rcDqqryj/94j2jUjyRdxSaxZKxT5uBjy7051SjM30wJMbGkC16vH6/XQzqt\n5RwrIUmezDY/sqygqimWlubZt+8Lmb5YXypO/L+2ssLcpU/xpFSUvj66jhwt+HIDU2Wkp+ccM7VX\nIBxG83roe/I0y+pdzp59PU9msBTkWrgFGfF4PJZvt1PVJDo2xsq77xJcW2OpuZmer36VtBYnkQhw\n4sRpJsb/je6VGiRZQkIi5fcTCp3Zsq9qZGiYxKUrPJZsJFhbA0B9QmMt0EdLextrawto2hqHD7+x\ntYq2iHD4Y44de4WamtJ10t3UVdzgRvYKydY9fPg+AwPP4vPtrjLF1NR1amoGLdKdSqWJToxT09hE\nfcPOpCUXcQb37/8bodDjlupLrhud00/bPnbjwbZOd6Jc9Rtxbc0Mqsfxen1Z76v81UwwXWBMi7vz\nnMQk3myT/T03o6s5YVzh2Wehu7vZyrtQSLVFHFNBpR9g/XtiZWUlT1Ws3PjhD39INBrl937v94hG\no8zNzdHe/mhNICvEew8g1+Lt/D8XboTb5/MRCATKslSzWVeXrUJVVX70ozEM4xi9vdUbekmW4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koWNkhFuXLrH/3LmsyVOxFYxSrOOF+tR5j6RSCSYmPmFw8PS2nnupGB7+lN7ecxsO/L37i/d4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\nRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create plot\n",
"fig = plt.figure(figsize=(10,6))\n",
"fig.suptitle('Regression: Sales ~ Radio + TV Advertising', fontsize=20)\n",
"\n",
"ax = axes3d.Axes3D(fig)\n",
"\n",
"ax.plot_surface(B1, B2, Z, rstride=10, cstride=5, alpha=0.4)\n",
"ax.scatter3D(advertising.Radio, advertising.TV, advertising.Sales, c='r')\n",
"\n",
"ax.set_xlabel('Radio')\n",
"ax.set_xlim(0,50)\n",
"ax.set_ylabel('TV')\n",
"ax.set_ylim(ymin=0)\n",
"ax.set_zlabel('Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Quanlitative Predictors\n",
"\n",
"### Figure 3.6"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/projects/sage/sage-6.10/local/lib/python2.7/site-packages/matplotlib-1.5.0-py2.7-linux-x86_64.egg/matplotlib/__init__.py:892: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n"
]
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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4xS9+0evHTAjpW3wXD2/tSHvb8XobR2+y3JUUJMRR/S0+6RwkvaEvEm/W3pdimvSm3o5t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XfapFy8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\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LlWVuHG7tVpXp2c6xyDg0hllxTaBmgke55BlGth1LmWScNAFxJEUz85JZ29aT9dbI/vQs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LULU/h4X4sUUH68r4XFc+MICfJz++z6s32sLkjA31fD3HShk+873imzdS8pSiI8RE/92T5eLTvJ\nz/6znMb2Pn7+RB7+vpqbsrlWqxQNvW8SYrLV4UWNYPuFAY7VdTFqszN4xUbdmYtu56hVAntz0ZwZ\nnGzu4YcPZVCQHUOAXh4sVlSb6OkfprK+m5PNPWg0agYsVvR+Wu6ZFUlpcRJz0iM5Wt/FA/Nm8vYX\ndYQG+40HieEBZKdE8rfrcqR2uqpAKBmfaMH+xAOpJMcGuz2rwyGw6976/DQOhyAgq9WomJseyU/W\nZvHHT2pli7lVBQnkGg2kxk+lqtHM8YYuyX1x9YJEvqo9j8PukBZqZfta2H64nY/LWyjb26xMhDeB\nsBD38cHTMU8Ytro3bk/HPMFmh6X3zJDa0pK5M66ZMBGhUgmM7arGbqoahWS2t8m5HGMkaxelCKWI\nKnh4YQo5xkivrk2LD+expeOJjfVLjApb71uAiRtnr2w8IWnLuY6T4nzrSew6SK+b9Higv8ZtXRDo\nr8E25t6XbGMO6tp6eHd7vaQV9N6OeuraemRarmJCsaffwpgdt42SMbtgQrN+mZFn12Tw7JoM1i01\nolYLjMAH58fTNzBM38AwK+6PJzxET5upn95Lw9Jc0XtpmDZT/6TfS4ECBd9u1DT3MD87hv1VgobY\nT9Zm8WlFGxmJ4cRGBrmdL0iWOfD31XK8vptRmx2NSkWvSxynVqu4PDjCQwsSWLckhdExO8fqu6hv\nv0huSqQUo61ekMiBKpO0oSyaFIjj4OqCBP6/dyt5eGGybAxXKj/uPkSE6omNDGTnV+2sX2pkTWEi\nH+1t4nDNBcbsDoZH3GMIQ6g/x+u7pdhs2T0z+dCFcFFW3sSPSjKZmx6Jv6+GRxYlo9Go6R24Ql5a\nJO9vb2DAMsq5HkEnV6VWyebhorxYqpvMAPRcuoKpe5C1E9qiEr/fWVBKcW8CGi1upSI+Ork76ML8\nWGZEBnP2woDb9UvmzmDH0XbyUg2M2eGr2vMsCYwjx2igusnM7qPt5BoN+Oq00qQwZrNzorHbTdup\ns2uAXUfOsn5pCk3t/QDMSgzjo91NZCaHs6ZQ0IOorO9mtdOAQBS33nOsnZiIAA6eHDco+M0GQR/v\n+dJMclMjPXZsT+55rmLgz5VMfq2CrxfVTWZZacHC/FimRwZJJhZPLk/jg50NUsB1ssVMTXOPrC0v\nyo+lf8hKrtFAfpqBi5eHeXdbPcEBvsREBAAC0yIrOYKZ0UH8+dPTqNUq5mfH8PK7lcC40cuxum5p\ncgkN9iV15lSZUceJhm6KcqZLGlSd3QN8fugMIFDJB4ZGmJMeydxZUVwatHK+Z0j2rIvnzKBvYJj8\ntEhqW3toO3eZ0229PHDvTLbsb/VIHunoEvQDQ4N8Aag/e5EH74/nQ5dSZFPPoMTOmpUglGMsmTuD\ni5eFst15s6KU9n4DGLRY3cr6Bi1Wr35Ltdp9HPbWnVajhuBAX0lvLDjQF811bHeJiV+AXUfOMt/L\nMl5zn4UeF2ZnT5/lmgYArli3xMjsJIE9qyT1vj2YTEvyet1gH1+Wyvs7BI2dx5amSscD/H1YU5go\n/X9osB6rbdB9naMVStAmPo94zBMcjDNcQdAknp89DRVgH7PzxpZxvUkxPy4y/0Do4wBDw1a2H5bL\nhBRkRxM/iYmIgrsDDrudtrY2r85NTExE4yXjW8HdjdrWXgqyY6ioNpGdEkFuaiQ6HzX3Zkaz+2gH\np1p63Ma3ju4BYU2ggu+tTOfd7fUkTJ8iySDp/bSUFifRcLaPTyvaWHHfTL44dIbcVAOxEcHsdyby\nqpvMaNSCft+mPU3UtvbwUGEi7ecvs6YwEb2/Dz19Vxi2jvHBzgY37WkFdxfMfRbe3FrLY0tTqWk2\nMyMqWJozC3On82lFm5u8S/uFAcmh1kerJsYwXsnko1VTmDNd0oR88P54VGoV1mEbW/a3kptqkM7D\n4cAYF8qmPUI884NVGWg0Kk40dJOTEkF8zBS27G8hNW4qDy+Y+tGsAAAgAElEQVRMltyYlbZ450FJ\n7N0E7HbBoEIM7LYfPsOMyEzZ4vVAlYnEmBDCJphoPL4slfKqToL8deyt7MBHq2btwmTec+o8FOfH\ncrDaxOK5M0iICZEW6A4HMltqGBdfXVOUhNU6JtXSZySG81xJJhXV52R6TlsrhJr6o6e78NGqWTk/\nnlc2yg0KMhLDOVbXxWuba3j9RXcmiWj+kZkUTnFerDQIKKYYtxdcg7uD1SbWLzXS1N7H3spOtBqV\nbCGRkxLBO9vqKXeWui6eE4vDgZT0QKXieH03DoewW1nVaKYwdzovv1uJj1bNd1fOov3CZfYcExZL\naxclMzJio6x83BTD1ehlb2UH3181iyB/H4xxoZI2kqfvAJAaN5VYQ5CkGfXo4mTe3FKLZdjGQ4UJ\nhAb5kms0oPNRM3WKn6RLsX6JEduYnfhpwRKTxNUhF4QJtPx4J2N2B7uPdZDrpL67aqFsLm8m1yiI\n3IrnA9gdDo/C9Qq8x6WhETRqldTWNGoVl4a8MxVC5T4OZyaFXf0aEQ7cEsqZCd456gb5aVg5P14S\n0H50cTJBft4Fk4MWK2N2h8w1z9tEpohwLxmNCu4ORITqWb/UyNufC852T61Iu6qLLgjME7FPiSU4\nZ0z9WG1j0nGrbYwzpn4cQFfvED1ObdHwKX4MWqwE+OkYGbHxfaeD84WeIQL8dKiAhwoTJUfp1QsS\nCdYLx9ctTpa0WR9dlIxep0WjhtKiJDbubnQeTyHQT8Ow1e6mN5mREDapi/tkJcMwuYmIgjsfVwbM\n/PL1HvRTWq56nuVSN2//2+OkpFxbE1rB3Q1zn4XfbDiBr07DU8vTsTscvPHJKTKTwjkuSrBYx/i0\nopWHi5OJMQTy+4+qGXYayZ1o6Gb90hR+VDKb18pOUpg7nSVzZ+Dvp5U0+YrzY/ni0BkyE8MpzJnO\n/33rGGq1isVzZ2B3Vmcdq+vmuyvTqW+/yKhtjCOnu8CpBV1RbSIrOYKqxm4lqXeXo+3cJfJSI3nr\n89NkJoUTHuovOcKLEl6i2eD0yCC2HmjF4XAwLyOKZ0syMV+8whtbTkmJ6Pw0g2wdGRLoS3FeDP/7\nfw5Lcc6SuTOkKsFjdd08vSINf18tJ5vN6P18hLYIhAQJmrRjYw4GLFaFMXoHQ0ns3QQcdrg3M5pP\nnML8ostbSVGilF1/ZFGK1FmzUiJYvSCR8+ZBRkbHOFh1npLCROamRzEtIoD3XJxuyys7WL/UyH++\nd5znHx6TJcxqWnp5raxasqUu2ysYFMRGBFFWPr4Qfuvz0/zto9kU58dKnVfEPbOipEy9WNMvfm6u\n0YCHimIJ5j4Lr26qZn52DHuPdXC8vhvLFSvL7o0HlITe7Qax7QxYrPzidxUMW8fw0arJdDItRAF2\nEJLG4g5SRKied7fVy5gRuUYDU4P9CArQMS0ikJ1fneWejEjS48MJ9veRzGDmZ8fw/vYGacdoMpxo\nFJiB65cYZeLDYqIDhPb+2w9OMC8zmsM152UBYHaKwG7t7BpkftY0UMHMqCm8/F6ldN4HuxrIMRqY\nbgiU3H9Fh1wxGfT5wTaJFQswPTKIUy2etSifeCCVzq4B9jr7iqsg/GRGMQquDq1GxY6v2mVtbUGO\nd+w3hx3mZYyPwwvzY/HWYHbM4c6C8lB56BFXJklIePXMuJt2rJwf790HgwcTGkWL527DREa8uc/C\n25/XSW3mnS/q+P/Zu/ewqK57D/jfucDoIBGQGYyARkBQkbvGeMELKk3M1USjIaFp0+PbpKltT0ya\nJmls0zeP2ry1SU5Tk3hsetRoc/HSmJsaxSuaqtxUFFBBBYwwo1wdEIbZ7x/DbGeYGRhghpmB7+d5\nznPSzZ49e9xrrb32b6/1WzPMRqXZ2v/vWwvEBY3WbitAbMQw1OtarILZ8ZHD4COXWtXB2SlhCA5Q\nYvAguTiibmFaFIYofXG9Toea+tsrSgf6K9Dcqoe+zYD6my14uH3kX/3NFjQ0t8B/kC98fGTidh8f\nGRRyOXTN1gF8g0GwucK4wleOQR1mRZhWB7a3iAjb4v5DOVSNIYEM2JJjtLU63BM/HCGBSvxj5xkA\nEBdWM9eqN8BgENB0q9WiHwgA6qFKXG7PJ511shyPzIi0eM4yPTPNSglHSJBSPF5tQzNOnqsW99vw\n9Vn8clEi/vZZvsV9P7n9BcuzC+LYVvVDpvvyubLr0DW3IfAOhbiicm5RNZ6YFwO/wT7iCynTYoMG\nwfjfcpkEKeNC8MnuYixJj4GuWY+vs8vw0IxIjAwZgr99VmBRnubdfbsv2Ko3oK7xFo6frRL32fTt\nOUyecCfGjx6Gj8wWJ8w6WY7/Z0EcSivqmMLCyzHHXi9IJBAf6k0R8dY2A3Z/fxkZ947FfVPuwuZd\nRdj4zVk8mBqBU+c1qKhqQGR4AMqrG9BmEPDvQxcxbnQQIkYMtTp+aUUdpFIJyqvqca5MC1WgEqpA\nJaQS42i88OH+2LrvPFr1BsxKDsOla/VWxzhScBVZOeV4KDXCYk79xm/O4reZExE+3Dq/RPJYNQpL\nteK0zMLS61b7xEUFWywS8sGO0xaLBmjap5aRZ1AFKhERGoDnHkvAYIUMs5LDkFNUjZffO4Jt+89j\n6cq9eOGdQ1iSHoPBChmSolUouWK9+vJdI+6AQRDw5eFSXNU0IvO+sbhDqcA/vyzE4VNXARinyu5v\nD/BJpRIxaatcJsGjs6MsylZ+icY4DWFvMdSBSjw0IxIpY9U4nF+JTbuK8P72U+LD2q0W65UJZFJg\nZnIYTl3Q4vTF69iWdQH7c8ut9gsP8ceuY5ew0CyhsSnI/oOmEQ/PjLTILfXt0TLklVRb5Jx68t6x\nWLHue7zwziHoDcBffz0DC9OinH6tBiLlIOuOhK1ttkil1osYOToVVyo1vogxLfryyMxIhz/bG73J\nB2Yv15qn4z3BcVkny7F05V4sXblXnJ7ek/1nJoeJZXtGUhgAYIiNcjZE6WtzBKhp29as2znztrWP\nmBYE6/6PIABtbQL2nijH5R8acPmHBuw7WY62NgH1TS34+Ntz2JZ1AduyLmDzrnOob2qBwleCx+da\nLgam8JUgIjQATz8wXlyA6cf3j0dEaABGhwbgzmA/JMeokRyjxp3BfhjN0QVEZGZrVglWrPseY0ID\n8MXBUov+gUximWfsodQIDBosh6amyWJ7+uRRuKU34Nr1m3jy3rFIilahotqYVsm0+FVyjBozEkcA\nggEvv3dEbMts5bWurG602pYco0bapHBxYAT1H+b35eLLNajX3ULZ1XrxhbBpsTdDh/yzC2ZZPid9\nuP00ZiSH4eNd5/Dj+8djQsQwVFQ1oK7RGKA2L4vBAUo8ee9Y8VjijCszIUFKnGrPq2eupr6ZK8n3\nAwzs9YKtUW1Xq28iIjQARWU38EX7SLjmljbs/v4SHpkZiZyiavxrdzH8FD5iLprTF7RobGrF3Ltv\nJ3GfnRKOyPCh7UNuL+KVtUexff95XK6sxaH8SggCsPf4FSycMwYPz4jA4fxK5JdorAJ4py9qAQGo\nqrkprqxzMLcCumY9vjt+Bd8evWTxmZ8+EIsJdwVhQmSwuArPu59aPjiqApXGFULt6O5DCfUdudSY\nT88UCJkQGSyOAmkzCPj423NY/fx0PHnvWPj6SvGT9gerwQqZeM0P5VViemIoTpytwoc7zoiJhE3T\nW6XtK37OTA7DybNV2Hv8Cp5fmIAFM6Pg4yND8tgQPL8oAd+f+QEJY1SYOM441XvY0EHYeegicoqM\nCxHkl2gsOkcF5zUWN7+FaWMglUqw/2Q5JkQGi7/JdB7mdemb7DJMTwjFpat1eHhmJJ68dyzqGoxv\nso6frYJeb8Bffz0Da349A7uOXUJsRDBiI4Kx+/tLeHhmJF54IhnFV2owITIYCl8ZsgsqcTC/Ev/v\nR8eROX8cE832Uv3NW1arItc7OBW3zcZKtLa22WJoX2XUlIj/3wcv2pzqZ/OzgmC12IDBkVVq2i2e\nd3sBjMfnxjj8OW/Ee4LjurtIhr39G3Qt2Hv8irh934kraNC1QAZYBdJkME4P79huNupaxEWPHp0d\nhUdnR0E5SI4GXYs4stt8ZedWvQFoX1TGfIV0SIBWvXXdaNULuNUqoLlZj+cXJeD5RQlobtbjVqtx\n35bWNnHl8pb2Jac1NTp8daQU8WNUiB+jwtfZpeK/j3lb/NR949gWEw1A/zlzFWfLbuDB1Aj4Dfax\n+vsIlR9kUgl+80QyJo4LwTdHL8GgF/DVkTIcyK1AYrQak8aHYOgQX/xj5xkoFT7YvKsIOUXViBkd\nhHvvGYVZ7S9NcoqqUV3bDG1dMxS+Mgz1UxhfFPtI8fAMy+ex3f+xfN56cHoEtuwpQnR4oBv+lciV\nzO/LUqkEqiAltuwuthnwFSBAJpWIq9ju+c9l3D9ttLgic3NLG3YcuIA5k0bC0CaIixLqbukx7+6R\nFmXxUF4ldh8z5tBPGReC6/XNFoMrZqeEo1LTiNxijVWfu80gINbBWSfkuTgVtxcksJ4SIrW1ljSM\n+cHMp22ZhmDfMUSB7AJjsufEaOPDpSAAB3IrkBStQk7R7aHcm749h0G+MnHqy6I5Y8QRe2kTjTm/\ndv/nMpakx6Dkcg2yCyoxPSEUoeohuKa9Kb6tAoClD0/Ax7uKMDV+BL49dglJMWrERwUjPnIYlEpf\nMf8EYJySY/17ArH0kQlY/4VxeLuthwyA02E8iaZGh9MXr8NP6YPksWrkl1i/sTEFm/2VvhgZcgf+\n76uzAIx56nZ9X4YFs8ZYjNYEjGXZlDfvSEElMu8bj7ioYHHxjHsm3In3PjfmcJwzKRxh6iGormnC\ng9Mj8OleY76lJ9JjMCVuBNa9MlecMmxKPmyqY4JgvPktmBmFS9fqsfNwKTJ+NBbHCy2nmZum2T7z\n4ATklVTjQG4FWvUG7M8pb08aX2xVt744dBGTY0MwbnQw/uvhODHh/KyUcOw9fgWDpkXgRKExJ+WD\nqRHYvv8CcoqqMXtiOLbvP8+kx70kkUBcFRkw/rejK8zK5cDiudEWubvkDt7ZTCvbmi/a4ej3trVZ\n5/aLHe1Yp+jKtQZs339ezMW648B5RIcHOFR+OlsUoS90nPLpyP68JziuocM0MdM2VaASaRPDcded\nxlH2XeXAabRxnEZdC3zkUuz+/jJ+8oAxZ96OA+eRFK0CYL24xby7w6H0lVvlkpQBUPjebgsB4+IW\nCl8pbt1qs5pmPitpBAL9FVb9pUB/Bepu3kJjsx7vtef5NU0rP33B+BJUzM+6pxjj7wrE8GFDMGn8\ncPzzS+PU4Ll3jwRgLGfbss6L9XH7/vMWU5WJqP/T1Ohw+VqD+JxUXt1g8zktZJgfPtx+Cg26VgC3\nU7acOFuFk+eqcPf4EHy29zySYtQW7dnH35zDfz0yAf+743b+5S27i5AUo8b900bj/74+i1a9AbMn\nhmPfyXKr57F9J6+Iua6/yi6D0I2XgeSdEsaocOqCMbVPx4UMl8yLQdm1Ohw/UyUuipkYrcaV9jLc\nZjaCKGLEUPx/HxvTDCVFBmPrvvOYOE5tMeX7413n8JMHxmPL7mJMjR+Bre1pwZakx+BieS2Chg7C\nkYJKY650iURcvPNwfqWYnom8G0fs9YJEYkzybpoSIpNKEKryQ2GpFskxaosReCk2co2NHO6P7IJK\nTEsIxemLWlyvb7JY1tqWk6aErwYBW7POY0JksBiwS4pWoaW1DdqaJoy9KwjxUcE4UlCJ0GA/fHf8\nivgmKjlGjVMXtXhkZiT2nyxHc0sbTpytwoavz8KvPThha2SAiWn0xf99dRYvZKRg3StzmePJC5gS\n9v/7wEXkFlVjVnIYSq7cwGPto44GK2R4YHoEXnjnEL4+WiY+VLUZBHy6txiL58Vgy+4iJIyxbvyl\nEmMA+LG0MfjkuyJx9bDkGJXFNMmsk+UY6ueLC+W1+HRvye3h6N8Vi6MuTFOGjdMZBMRHBWPdK3Ox\n7pW5iBkZiMA7FMa8js16bNldJE7vNR9tMj0hFAXnq5FbVG1Rl4ov37Bbtz7PuoBt+88jbWI41vx6\nBpJijKNb50waiU++KxZHOJoSurcZBBzIKcfYUUEM6vWSv1KBrfvO48TZKpw4W4VtWefhr1Q49Fkp\ngBv1zeKouxv1zQ7f2ASD9TReR/PzDVIAD6ZGYOehi9h56CIemB6BQY6dcvsIJmMnTmzvHQwoAsbg\nh6lO9GXby5F3ruev9LUaOWeapp11shwvvHMIL7xzSPz3t3e/tnecwb5yzJk0Ev/8shD//LIQaRNH\nYrCvHIN95XgwNQL5JdXIL6nGA9MjMNhXjjpdi8XUoc/3nUedrgVBdygt2sIdBy4g6A6lzRXHBQCj\nQwMwQnV7Cu0IlXEKrUwisaqDMonE4oHGpM0g2B2JCNzOtfnFwYuYHHunqy4REXmoBl2LmK9cEID8\nYg2kZs9pYSH+uFLVgOIrN6Br1lt8NmZU4O0pjNH280P7KaxHAQoC8NneEvGZ7EBOOWJGBuJ6rfF5\n7On7x6OhqQXj7gqCpqYJOe0L0XGWR/9kfl+WSm4veikIArILKvH0/ePxXw9NQNm1Onx/6prFc4lU\nAgTdMQiL50Zb3L9NC/YBxjREANBmo7966rwW86feJQ7AaG5pwyd7ihGm9gcEAQljVEgZq4YA42JT\n+SXGkfVcSb5/4Ii93rDxIBZwhwJ/fykNqkAlDuSUo6a+GYntq42aR+kfnxONEcFKxEUGi8G9b49e\nEpe1BoyjVuZMChc78A+mRuDbo5fsns6o4XcgMVqNwb4yrPviNFr1Bjy7IA6RYcY3+6YHSblMgsRo\ntc0caib2Vre1mPbT0oa/bsnBulfmin9392gSss9Wwv43lt6Db44ZR2yGh/iLD2q2XiJqbjShpbUN\n6sDBFgtdPDwjEiljVXjy3rGICA1AWvsUrsEKOYYO8cXJc5ar3V6vb7Z5fHO2yp+mRocP/30aD6ZG\niG9gW1rboGtqxS8WJmB40GA8kW6c0lhYeh1rtxVYvKldMCsKXx0phVwmQVCHVapnpYTjYG6FuKBM\nRGgApicYp5PZGYQrmpUSzjLuRi164Lvjlkn/75ng2EO9zWkRDr5Ab2uTYN/xK3h+UQIA4NM9xYgd\nHeTQZxU+EnFlM8BYNhU+3Yjsoe8XKerpyDveE7pHFahEfFQw6hqNU9Hjo4K7HA1vq70covRF0NBB\nYnL2oKGDMETpa3e1WYWvHF8eLhVH7H11pBTTE0aIo7jN+cil0NZa50vU1uqg8JVh7t0jse+EcVXy\nOZNGQuErg6bG+L3zJo8Sv3dmUhjkNo4vl0vhI7GeETHIV2Z3JKK/0tfq/ma6HxDRwGCeq7bgvAaz\nksNwKK8CcZHBiB8TjE+/K0GDrhU+cqlV+7J9/wUkRqshlQBnLhkDMdkFlRb7PZgage/P/mCz/9jR\n1Pg78Z/CazAIQH3jLZxoX8TARy5Fcoxa7DNT/2S6LzfqWvD9mR+w4+BFcdHLz/eVIHpkkMWsJMBY\nvq5qb2LfyXLIZRK8+vQkfPv9ZTGoZ9rXlL/cOGvk9vPYrBRjmY0fo7I6HwECDILEqhw+PCMCdwYP\nYb+sn2BgrxfkUonFtC2JxLjNVDlmpYQjNmIYtLU66Jr1ONg+Yk4qAUaH3oF7JoxA+PA78PGuIhxs\nny5YXt0gDt0+lFeBmUlh+Pmj8cg9V4WWljbMSLo9bWxh2hh8ceiimL/hq+xSrH5+OiJCA5DQPrXG\ndC7mD1bmkX/zBqXjA1dPK7m9oCC5l63k/HcGD8G0+FCs2ZxjEdDYdeySReDhqfvGYUZiKO6behcA\n4K9b8sQHwG+OluH+aaPFa236/4fzKy2CcADE/A4dh6Pbeti3VXZa9Qb8++BFzJkYLj6wDh4khxTA\n2LtujySclaJEbMQwXKysRYOuBfo2AV9nlyEuMhiJ0SpsbM8r+JMHYlFwXiPWP/Np5+bleIjSFx9/\new6FpVo8kR6DT74rBmBcySw1kav09ZZpdFHHlS4dIZc5ts2WQQqJxcuURXPGYJDCsQDbncFDED9G\nhb+3TzOfnRKOO4OHOPRZmVRqNY130rjOV5D2ZrwndI+p7wA4/u9la79vssvEQNq3R8vwo8mj7K42\n66/0FV/+AcYAub/SFxGhARZt3pJ5MRg3OhhllbU2Am9yjA4NwOmLN8T2OSRIibF3BUNTY+wHmabu\nmtraQb5yixeYaRONxxFgPTX4gemjofCxvSouEZH5iyRBEDBuVCAmjlPjfHktzpReF0fpmadsuV7f\nhK+PlKG5pU0c/JAUo8bxMxVIGKNCY1MLfvbQBAiCgFMXtcgv1mBmchgmjQtBZHgAtmWdhyAIWDRn\nDP598KI4wspvsA/a2gQcyqvAjKQwzJ1knJ4rCAKmJYQyqDcAmBa9LK9qwMK0MSi+XINtWecxPSFU\nTBN0pKASP3kgFjUNzWI5BABBkGBYwGCLKblHCirxyExTv/EyHksbg0s/1OGJ9BgUt0/5fmRmJLbs\nLrIK+H2dXYbEaJVFeqNpCaGIH9N/+54DEQN7vRAXpca5S7W4XtcMwLiCXFyUZQUxVerM+ePw8bfn\nkF9SjSfvHYt7JowAAIuRQXKZBJPHG0ealFyuQVxkMNRBStxsbjVOY8wpx9KHJiAhKhgH8yrx3fHL\n+NlDE3C88BqyCyrx7KMJ4o2iYyff/MGqsPS62CmOjwoW32o7M78TH948j71rpwpUQtfUgn98WWgx\nEu6u4f5Y8+sZAKzzOT33WEKnZUAVqMRzjyXgg+0FmJkUJj7kjRzuj8rqRnE4+gsZKRg7KrDbZe9g\nXgV+vTgJdwb72Z0Ga/ptdQ238MGO0wCAu8eHIHlsCFr1Bmz69hw+21uMB6ZHiPXvqfvGWfxW03Ef\nmz1GzEMVERogTn9kOXcOe6OUHJEQHWIVeEiIDnHos7ERahRfqcczDxrzjbW2CYiNcKyT05tzHjc6\nGA/PiLQKlniy3o68Y13pHlttanf+/VWBSot8oebtvak/AsCizbN3/MXzYhAfZew/mMrp6NAAhA/3\nF9v28OH+4uq0i+ZE41yZ1mL/zu4/YSG3jxMWcvs4T6THYFP7eWaanae97+XIUCKy9SJpTHgg8our\n4T/YV3z+SU0MxVA/H/grfZCaGGoxyEEqAfKKjdMUlz2ehLjIYSi+UoPAIQrMSAoVRwHeofTF0/eP\nR/MtPVoNAhLHqNBmMKaQuWfCCESGBqDoco3YLnWnz0v9x4zkcGhqdJg4LgT+Sl/xOdyUOuizvcV4\nLG2MVTmMCA2wuK89+2iCWLb9lb745LtixEUGw1/pi8iwoZg4To1P95agpbUNUaFD8UJGCg7klCO7\noBJL5sWg6PINNDa14MUnUxA9kuWwP5IIXpq5c9WqVSgoKIBEIsGrr76KuLg4u/tWVFRgzpw52Ldv\nH8LCwpx+LqfOG6cadhX1Lq2sBWA76XXHhOSmVe1Mb6JN/23+d9P+3U1mbuv7uqu3n6euuarc2rt2\n5isf2/q7o8fp6pjmZbsn5cdZ5b20sha3WvQIDlCKOZr4BrX3elNue9Ou5BUbRxolxTgW1DPnaBtu\nS2/OuWPwwxv017bf1f0EZ+nJ4iW29rfXH+nu8Tvr1zjjfLq7vb+WT3s8sdz+ZsXfcfFm1+eiuZSP\nwUNVGBLY9aj36ku5UA4N6XLfxppKfPi7uYiOjnb4fMk93FF2Tf1PAFbPVJ09Z5l/vlHXIuYSlcCY\n5kYC48wOE3v964HSLvVnziq3pjJnKjudPR91dt9sadEDEmMameAA61l3vY0XkHfxyhF7J06cwOXL\nl/HJJ5/g4sWLeO211/DJJ5+47XwcfRjsrONr6+18Z9NieztltreVmo2C97J37bp7TR0dZWdrW2/K\nj7PKu62ReeRevbkOPQnomfRmKkJvztmbAnomrCvu5ax22l5/pLvH7+7LkO6eT3e3s3wSkT32+p+2\ntjuz/8p2iTqyV+a6MwvOkfuvM1JskffwylVxjx07hrlzjQs2REZGor6+Hjdv3nTzWRERERERERER\nEfUdrwzsabVaBAXdXn0wMDAQWq3WjWdERERERERERETUt7wysNeRl6YJJCIiIiIiIiIi6jGvDOyp\n1WqLEXrV1dVQqVRuPCMiIiIiIiIiIqK+5ZWBvWnTpmH37t0AgMLCQoSEhECpZEJIIiIiIiIiIiIa\nOLxyVdykpCTExsZiyZIlkMlkWLFihbtPiYiIiIiIiIiIqE95ZWAPAF544QV3nwIREREREREREZHb\neG1gj4iIiIiICAAEgwFlZWUO7x8ZGQmZTObCMyIiIuobDOwREREREZFXa2rQYMU6LZRDL3a5r66u\nGptWZSA6OroPzoyIiMi1GNgjIiIiIiKvpxyqxpDAUHefBhERUZ/yylVxiYiIiIiIiIiIBjoG9oiI\niIiIiIiIiLwQA3tEREREREREREReiIE9IiIiIiIiIiIiL8TAHhERERERERERkRdiYI+IiIiIiIiI\niMgLMbBHRERERERERETkhRjYIyIiIiIiIiIi8kIM7BEREREREREREXkhBvaIiIiIiIiIiIi8EAN7\nREREREREREREXkju7hMgIiIiIiLqK4LBgLKysi73a2trAwDIZDKHjhsZGenwvkRERM7CwB4RERER\nEQ0YTQ0arFinhXLoxU73u15xDoP9h0E5VN3lMXV11di0KgPR0dHOOk0iIiKHMLBHREREREQDinKo\nGkMCQzvdR1dX5dB+RERE7sQce0RERERERERERF6IgT0iIiIiIiIiIiIvxKm4REREREREveDoghwA\nF9kgIiLnYmCPiIiIiIioFxxdkONm7TX8vz+fhtGjRzt0XAYBiYioKwzsERERERER9ZKjC3KsWHes\nywAg0L0gIAOAREQDl0cH9nbs2IF3330XI0eOBABMmzYNP//5z1FUVIQ//vGPkEqliImJwR/+8Ac3\nnykREREREVHXHF1p19EgIEcBEhENbB4d2AOA+fPn42jZ/18AACAASURBVLe//a3FtpUrV+L1119H\nbGwsli9fjsOHDyM1NdVNZ0hEREREROR8zh4FqKurxqZVGYiOjnbWKRIRkZt5fGCvo9bWVlRWViI2\nNhYAkJaWhqNHjzKwR0REREREA5KjowCJiKj/8fjA3vHjx7F06VLo9Xq8/PLLCAoKwtChQ8W/BwUF\nQaPRuPEMiYiIiIiIiIiI+p7HBPY+//xzbN26FRKJBIIgQCKR4P7778eyZcswc+ZM5Ofn46WXXsI/\n/vEPCILQrWO3tbUBAK5du+aKU6cBbPjw4ZDLXVONWG7JVVhuyRux3JK3clXZ9cRyK7TUYbCursv9\nBusroKtzrD/f1HADgMRp+w30Y+rqqnHt2jUolcpO92ObS96I5Za8kTPKrccE9hYtWoRFixbZ/Xti\nYiJqamoQGBiI2tpacXtVVRXUanWnxzaN6HvyySedc7JE7fbt24ewsDCXHJvlllyF5Za8EcsteStX\nld3+UG5ru94FAHDLwX0d3W+gH3Pp0n91uQ/bXPJGLLfkjZxRbiVCd4e/9aH169fjzjvvxP3334+S\nkhK8+OKL2LlzJ372s5/h+eefR3JyMn7xi18gMzMTU6ZMsXuc5uZmnDlzBiqViitAkVO58q0Qyy25\nCssteSOWW/JWriq7LLfkSmxzyRux3JI3cka59ejAXlVVFV566SUIgoC2tja88soriIuLw8WLF7Fi\nxQoIgoCEhAS8/PLL7j5VIiIiIiIiIiKiPuXRgT0iIiIiIiIiIiKyTeruEyAiIiIiIiIiIqLuY2CP\niIiIiIiIiIjICzGwR0RERERERERE5IUY2CMiIiIiIiIiIvJCDOwRERERERERERF5IQb2iIiIiIiI\niIiIvBADe0RERERERERERF6IgT0iIiIiIiIiIiIvxMAeERERERERERGRF2Jgj4iIiIiIiIiIyAsx\nsEdEREREREREROSFXB7YKykpwbx587B582YAgF6vx/Lly7Fo0SL89Kc/RUNDAwBg586dWLhwIRYv\nXoytW7eK+7744ovIyMhAZmYmKioqAABFRUVYsmQJMjIy8MYbb7j6JxAREREREREREXkclwb2mpqa\n8Oabb2LKlCnits8++wzDhg3D559/jvnz5+PkyZNoamrC2rVrsWHDBmzcuBEbNmxAfX09vvrqKwwd\nOhRbtmzBs88+izVr1gAAVq5ciddffx1btmxBfX09Dh8+7MqfQURERERERERE5HFcGthTKBRYv349\n1Gq1uG3//v148MEHAQCLFi3C7NmzUVBQgPj4ePj5+UGhUCA5ORk5OTk4duwY5s6dCwCYOnUq8vLy\n0NraioqKCsTGxgIA0tLScPToUVf+DCIiIiIiIiIiIo/j0sCeVCqFr6+vxbbKykocPHgQmZmZWL58\nOerq6qDVahEUFCTuExQUBI1GY7FdIpFAIpFAq9UiICDAat/O6PV6VFRUQK/XO/HXEbkWyy15I5Zb\n8kYst+SNWG7JW7HskjdiuSVP1ueLZwiCgMjISGzatAlRUVH48MMPbe5j77MSicTu3+25du0a5syZ\ng2vXrvXonIncgeWWvBHLLXkjllvyRiy35K1YdskbsdySJ+vzwF5wcDAmTZoEAJg+fTouXryIkJAQ\ni1F3VVVVCAkJgVqthlarBWCMkAuCAJVKhdraWot9zaf6EhERERERERERDQR9HtibMWMGDh06BAAo\nLCzE6NGjER8fjzNnzqCxsRE3b95EXl4eUlJSMG3aNOzatQsAkJWVhcmTJ0MmkyEiIgK5ubkAgD17\n9iA1NbWvfwYREREREREREZFbyV158MLCQqxevRpXr16FXC7H7t27sWbNGrz55pvYunUr/Pz88Oc/\n/xkKhQLLly/HM888A6lUimXLlmHIkCGYP38+srOzkZGRAYVCgdWrVwMAXn31VaxYsQKCICAhIcFi\n1V0iIiIiIiIiIqKBwKWBvdjYWGzatMlq+7vvvmu1LT09Henp6RbbpFIpVq1aZbVvZGQkNm/e7LwT\nJSIiIiIiIiIi8jJ9PhWXiIiIiIiIiIiIeo+BPSIiIiIiIiIiIi/EwB4REREREREREZEXYmCPiIiI\niIiIiIjICzGwR0RERERERERE5IUY2CMiIiIiIiIiIvJCDOwRERERERERERF5IQb2iIiIiIiIiIiI\nvJDLA3slJSWYN28eNm/ebLH98OHDGDt2rPi/d+7ciYULF2Lx4sXYunUrAECv1+PFF19ERkYGMjMz\nUVFRAQAoKirCkiVLkJGRgTfeeMPVP4GIiIiIiIiIiMjjuDSw19TUhDfffBNTpkyx2N7S0oJ169ZB\nrVaL+61duxYbNmzAxo0bsWHDBtTX1+Orr77C0KFDsWXLFjz77LNYs2YNAGDlypV4/fXXsWXLFtTX\n1+Pw4cOu/BlEREREREREREQex6WBPYVCgfXr14sBPJMPPvgATz31FHx8fAAABQUFiI+Ph5+fHxQK\nBZKTk5GTk4Njx45h7ty5AICpU6ciLy8Pra2tqKioQGxsLAAgLS0NR48edeXPIC+jqdFBU6Nz92kQ\nOQ3LtOfitSFyHdYvIudhfSIi6pq3tpVyVx5cKpXC19fXYltZWRmKi4vxq1/9Cm+99RYAQKvVIigo\nSNwnKCgIGo3GYrtEIoFEIoFWq0VAQIDVvkQAkHWyHP/zaR4A4FeLk5A2MdzNZ0TUOyzTnovXhsh1\nWL+InIf1iYioa97cVvb54hmrV6/G7373OwCAIAg29+lsu0Qisft3Gtg0NTr8z6d5aDMIaDMI+Ntn\neV4ZbScyYZn2XLw2RK7D+kXkPKxPRERd8/a2sk8De1VVVSgrK8NLL72ExYsXQ6PRIDMzEyEhIRaj\n7qqqqhASEgK1Wg2tVgvAuJCGIAhQqVSora212LfjVF8iIiIiIiIiIqL+rk8DeyEhIdizZw8++eQT\nfPrpp1CpVNi0aRPi4+Nx5swZNDY24ubNm8jLy0NKSgqmTZuGXbt2AQCysrIwefJkyGQyREREIDc3\nFwCwZ88epKam9uXPIA+lClTiV4uTIJdJIJdJsOzxJKgCle4+LaIeY5n2XLw2RK7D+kXkPKxPRERd\n8/a20qU59goLC7F69WpcvXoVcrkcu3fvxnvvvYc77rgDgDFvHmBcZGP58uV45plnIJVKsWzZMgwZ\nMgTz589HdnY2MjIyoFAosHr1agDAq6++ihUrVkAQBCQkJFitukv9l2k4rL1KljYxHHGRwzrdh1yr\nq2tE3cMy7Rh3lDteGyLbnFEfWb+InMe8PgHGOsp6RURk2Wfx5r6HSwN7sbGx2LRpk92/79u3T/zv\n9PR0pKenW/xdKpVi1apVVp+LjIzE5s2bnXei5BUcTWbpbZWwP/HmhKOejGW6c+4sd7w2RJacWR9Z\nv4icRxWoZD+NiMiMrTbRW/sefb54BlFPeHsyy4GA14jcgeWOyHOwPhJ5LtZPIqLb+lubyMAeERER\nERERERGRF2Jgj7yCtyezHAh4jcgdWO6IPAfrI5HnYv0kIrqtv7WJLs2xR+RM3pzMcqDgNSJ3YLkj\n8hysj0Sei/WTiOi2/tQmMrBHXsXbK9xAwGtE7sByR+Q5WB+JPBfrJxHRbf2lTeRUXCIiIiIiIiIi\nIi/EwB4REREREREREZEXYmCPiIiIiIiIiIjIC7k8sFdSUoJ58+Zh8+bNAIAffvgBP/3pT5GZmYln\nnnkG169fBwDs3LkTCxcuxOLFi7F161YAgF6vx4svvoiMjAxkZmaioqICAFBUVIQlS5YgIyMDb7zx\nhqt/AhERERERERERkcdxaWCvqakJb775JqZMmSJue/fdd7FkyRJs2rQJc+bMwT//+U80NTVh7dq1\n2LBhAzZu3IgNGzagvr4eX331FYYOHYotW7bg2WefxZo1awAAK1euxOuvv44tW7agvr4ehw8fduXP\nIA+gqdFBU6Nz92mQA3itaCBheaeBgOWcyD1Y94iIusa20sWr4ioUCqxfvx7r1q0Tt/3xj3+EQqEA\nAAQFBeHcuXMoKChAfHw8/Pz8AADJycnIycnBsWPH8MgjjwAApk6ditdeew2tra2oqKhAbGwsACAt\nLQ1Hjx5FamqqK38K9YCpcvV2pZmsk+X4n0/zAAC/WpyEtInhvT43co2+vFbOKl/UP7ijPLBtIk/h\nyvLPck7kHs6qe+wvEVF/diCnHIfyKwEAMxJDMStlYPZTXDpiTyqVwtfX12LboEGDIJFIYDAYsGXL\nFjzwwAPQarUICgoS9wkKCoJGo7HYLpFIIJFIoNVqERAQYLUveZask+VYunIvlq7ci6yT5T0+jqZG\nh//5NA9tBgFtBgF/+yxvwEfjPVVfXitnlS/qH9xRHtg2kadwZflnOSdyD2fVPfaXiKg/09TocOqC\nFrlF1cgtqsapC9oB209xy+IZBoMBL730EqZMmYJ77rnH6u+CINj8nCAIkEgkdv9OnoEPAuRKLF9k\njuWBBjKWfyKyh+0DEfV3DboWZJ0sF9u5/TnlaNC1uPu03MItgb1XXnkFo0ePxi9+8QsAgFqtthh1\nV1VVhZCQEKjVami1WgDGhTQEQYBKpUJtba3Fvmq1um9/AHVbg66lR50JVaASv1qcBLlMArlMgmWP\nJ3EqgYfyhGvF/ArezZuunyeUdyJXc3c596Y2gciZ7NU91gkiIiN7baG/0tfm9v7OpTn2bNm5cyd8\nfX3xy1/+UtyWkJCA119/HY2NjZBIJMjLy8Nrr72GhoYG7Nq1C9OmTUNWVhYmT54MmUyGiIgI5Obm\nIjk5GXv27EFmZmZf/wzqhKkz8rfPjHlBnrpvHF5+7wha9YYe5QhJmxiOuMhh4rHJc/XFtepYvkyd\nXeaB8m49vX72ykNfYNtE7tYX5d9d5ZxtOg10Heted+uEO++PRESuZGoPfeRSZM4fh4+/PQdgYLdz\nLg3sFRYWYvXq1bh69Srkcjl2796NGzduwNfXF5mZmZBIJIiKisKKFSuwfPlyPPPMM5BKpVi2bBmG\nDBmC+fPnIzs7GxkZGVAoFFi9ejUA4NVXX8WKFSsgCAISEhIsVt0lz2DqjDToWvDye0fQ3NIGAPjb\nZ3mIixzW7Qo3UCuoN+qLa9Wxs2s+3QToeTkj9+jt9XNngI1ljNytr16o9CW26URGpjLf0zrBF1BE\n1N9YpBloacOn3xVjza9nwF/pO6DbOZcG9mJjY7Fp0yaH9k1PT0d6errFNqlUilWrVlntGxkZic2b\nNzvlHMl1TBWrVW9w85lQfzSQG26yxvJAAxnLPxHZw/aBiPqzVr1hwAf1ADfl2KOBoyf5eZg/pH9z\nxfV1dx4o6h1ev77FNnbg8NZrzTaBBhJH6inrBBGRkXl7OFghwwsZKe4+JY/Q5zn2aODpzjQA5tTp\n31x5fTndxLvx+vUNtrEDh7dfa7YJNBB0p56yThARGZnaw9yiKqzZnAPAO/s6zsQRe9QnVIFKh0bq\nifPlDQL+9lmeV440INv64vo6Us7Ic/H6uRbb2IGjv1xrtgnUn/WknrJOEBHd9v72017f13EWBvaI\niIiIiIiIiIi8EAN71G3OzNljfizmD+nfenp9XZUjyltzT5FtvbmeA6UssI0dOLztWturgwOlblL/\n48q8eawXRDRQaGp0KK2stdnmeVtfx9WYY4+6pTu5QMwDdo4ei/lD+rfuXl9X5Yhy5nG7Kufker25\nngdyynEovxIAMCMxFLNS+nduDraxA4cnXmtb7aW9+uvtOQJp4HKk7Jrqgqf0i4iIPM2h3HL8cEOH\n4ss1OH1Bi+ceS7Bq8zyxr+MuDOyRw8xzgQDA3z7LQ1zkMJuVqKuOR2fHGuiVsr9z9Pp2p7x1hzOP\nyw62+/XmempqdDh1QYvcomoAQMAQBWIjel/GPF1//310mydda1vtpb36C8Al7T+RqzlyT+pp38FV\n/SIiIk+jqdHhQmUddh4qBQDMnhiOD7YX2Gzz2AYacSouOV1/SdpN1JnulHNOm/FMDboWZJ0sF6/h\n/pxyNOha3H1aRHZ5a1vCfgH1Nz2ti6wLRESd09TooK3VYeehUrGtPJBTjrjIYHefmkdjYI+6ZOq8\nODqP3ZEH447Hmp0SjsLS6644ffJSrsqb4KzjOhoAyjpZjqUr92Lpyr3IOlne7e8ZSHryoNSb6+mv\n9HVoG5En6I9tiSpQiReeSMLCtCgsTIvCfy9JEkfuM28OearO6qJ52R2skOGFjJQef0/HeyLrBRH1\nZ5oaHbILKrHui9M4cbba6u+zUsLZ5nXC5VNxS0pK8Pzzz+MnP/kJnnzySVy7dg0vvfQSBEGASqXC\nW2+9BR8fH+zcuRMbN26ETCbDokWLsHDhQuj1evzud7/D1atXIZPJsGrVKoSFhaGoqAh//OMfIZVK\nERMTgz/84Q+u/hkDlq3pAp3NY886WY73txUgbWI49ucYOzvPLoizeey4yGFIilFDEIADuRXYn1M+\nIKbB9UeuyjPnqrwJvT2urXJuCk7PSrl9PE6bcVxvpjX35no+OjsKOw5cAAAsmBXVrc96K+aF9D7e\n3paYAhJ/+8xYx80DEpq6Zuw4cBEAkDl/nPiZntRrlm1yNUfqoqns5hZVYc3mHADG+5qpPNurC+bs\n3ROZT4qI+iPzNi9tYjh2fX8Jj88Zg8+zzgMwxhNSE0PdeYoez6WBvaamJrz55puYMmWKuO3dd99F\nZmYm0tPT8fbbb2Pbtm14+OGHsXbtWmzbtg1yuRwLFy5Eeno6srKyMHToUPzlL39BdnY21qxZg7ff\nfhsrV67E66+/jtjYWCxfvhyHDx9GamqqK3/KgNTdBwnz/Q/kViA5Ro25d4/EX7fkonX7aZsP67lF\n1eLx5TKJa38QuYSr88y5quPa0+PaKudhIf748nApg9M95IygRU9HXX55uBSJ0WoAwFdHSjE9YUS/\nvn7MC0nuYisgUVpZi03fnBPr/sffnkNStAoRoQEW+zmCZZs8zfvbT1vc15Ji1MgtqsZvliRh3Stz\nAdgu413dE/vzPYqIBp6Obd7+nHIkRqvx70MX8dKTKRgzMpDtngNcOhVXoVBg/fr1UKvV4rbjx49j\n9uzZAIDZs2fj6NGjKCgoQHx8PPz8/KBQKJCcnIycnBwcO3YMc+cab3xTp05FXl4eWltbUVFRgdjY\nWABAWloajh496sqfQT3Qqjcgt7ga3x2/guaWNpt5RDilwPsN9FwxpnJ+5VoDWvUGq7+zjHs2f6Uv\nWvUGnDxXhZPnqtCqN/TrqbgDvb56s/7SlrhqgSyWbeorvamLggC0GQS82x6A9sY6TETUV1r1Buzr\nJ6lH+oJLR+xJpVL4+lo+JDU1NcHHxwcAMGzYMFRXV+P69esICgoS9wkKCoJGo4FWqxW3SyQSSCQS\naLVaBAQEWO1LztfZ1BnAespLx/2fXRCH9TsLO/0OTimgvuSMaVody/lT943Dp98V2+3gs4x3rau2\nxpXf+5slSTicXwkASE0M5TUij9Uf25KI0AA8/cB4nLmgBQBMiAoWR+sReSpH6qL5fc1HLsVjaWNw\n/koNfORSCILQ6fHddU8kIuprpmez3yxJEl96zE4Jx5GCSsxKCUd2QaU7T8+ruDzHXmfs3dg62y6R\nSLq8IZLz2Ou8OJL7AwD+C8AHO04DsN8xYWfFe6kClXju0bgur7EncOY0rY71YkZ7zofOOvjUOXcF\nLQwCkFNkTNA7LaH7uTu8KacXHxa9n6ddL2eU/6F+il7VQdP3s2xTX+rsRbeJea6997efFrfFRwV3\nWT77YyCfiMic+bPZc4/GiSkKiq/UoK7xFrILKvHsowlsAx3U54E9Pz8/tLS0wNfXF1VVVQgJCYFa\nrbYYdVdVVYWkpCSo1WpotVrExMRAr9eLC27U1tZa7Gs+1Zd6pmOnxPx/d6xMjuT+MFVUH7kUL2Sk\nYOyo7s2N96aH5YHIdH1OX7yO9TsLkRSjxuyUcKclNXX29S+trHV64nnzz7KcOkdf/zv2NrefO3N6\n9bSO8GGROtOdctWT8m+rr9FZHezO+bBskzt0VQ8adC0Wufb255TjifSYTo+pqdGhQdcCf6UvyzIR\n9Usd7/8f7DiN32YqMCXOmOs6ZmQgAN7Pu6PPA3tTpkzB7t278eCDD2L37t1ITU1FfHw8fv/736Ox\nsRESiQR5eXl47bXX0NDQgF27dmHatGnIysrC5MmTIZPJEBERgdzcXCQnJ2PPnj3IzMzs65/Rr5h3\nSn6zJAkGAb16WLXIddPShr9uyREj8N09HybA9jym65M8Vi0ufnLibBXyiqu7HcDt7PiAc65/1sly\nHOEwbnIyd65S2ts6wk4S2dKdctWT8t/dctuTcs6yTX2pq3rQk/5Hx5Uh46OCMSuF/WAi6v++O34F\n9Y238KMpo3k/7wGXLp5RWFiIzMxM7NixAxs3bsSPf/xj/PKXv8SOHTvw1FNPob6+HgsWLIBCocDy\n5cvxzDPP4Gc/+xmWLVuGIUOGYP78+dDr9cjIyMC//vUvLF++HADw6quvYs2aNcjIyMCoUaMsVt2l\n7umYcPpwfiXe31aApBg1kmLU+GB7ATQ1OvH/ANcm8WYCbM9mfn1cMSPe2dffdLz8Eg3SJoZblFnT\n36l/MG+jHNWoa8GcSbfLRdrEcDTqWlx0hs7BNpJs6Un57/h5Z7e95p+3d3x7/QmWc/ImPnIpJo4L\nQXLM7RlE5v2P2R36H/b6zB3L/f6cchzOr+x12e9t+0BE5Cym9uhGvQ4PzYgQ28ZZKeHIL9Hggx2n\n2V71kEtH7MXGxmLTpk1W2z/66COrbenp6UhPT7fYJpVKsWrVKqt9IyMjsXnzZuedaD/U02laMpkE\nqYmhyGpfgWbe3SMtcoOY3pp3NuWFuW4GhoLzxmDZ/hxjWfH06yyVSpAUo4ZMKkHdzVtYunIvAPeO\nCuWUc+fozQg2qcRYLkz/7Si2c+QpnDXK2UcuRVJkMACgsFTb6b6dlf/ung+n0JK3Mi3AdOqCVuw3\nn754HWkTb5fjVr0BB3MrkByjxpP3ju3W4jA+cilGDvdHg66lx3WDs2CIyFPsPlZmkW/0+zM/4On7\nx6Ow9DoO5lagVW+AXOZ4X5wsuXTEHrlH1slyLF25F0tX7hU7GvZ0fFs+MykMWSfLxbeFN+qbxdwg\nHd+a28u/p6nRIW1iONa9MhfrXpnbrU6EK0cDUu+ZXx9BEBAfFdyj62zv7bGzr7/peEnRKuw9fgUn\nzlZB3yZgw1dn3T4SpDv1dKDoyaiC3ozsGaL0xXft5eLE2SrsPXEFQ5S+XX+wXU/bud5gG0nmnDWy\nTRWoxJL0GOQVVyOvuBqL58U4lNy/Y/nv7sg88+/v+L9Zzskdunsfio0YZtFvtlXmBUHAtITQLoN6\n5p8ZrJDhgekR2HHgIl5451CP+gkc+UpEnkBTo8PBnHKLmML+nHLEjArChq/PIio8AIIg8H7fS25d\nFZecryd5bzquZNtTznoryLf3nq2316ercuLs6582MRx33ekvrrroCdyZn81T9bT9aLAxdbY3oxu6\nyx3XjG0kOZumRodN35wT26SPvz2HGYmhXZav7pS/7pZbqQRmo2kd/hqiHnP26LaetNWmz2hrdXhl\n7VH2E4jIqzmSazQ+chjS2vPxs43rOY7YIwC335Z3fEuemhjq0FtzZ78VtDUakDxHT6+Po+XE2dc/\nIjRALMeFpVpkzh/HkSAepDfth7/S1yJ/4uyUcPg7OOrOm0cFsY0kwPPKcHdH5tmjqdHhnU/yxNG0\n737KkUbkWj29DzmrzHc8ZnBA7+uxp7UPRDSwmNpVQQBOX9Ba5BudnRKOwlItlj2ehHGjg9mvdQKO\n2PMyXeXkckbeJ1tvGG29cWR+MHImV5enjuV6RmJot7/PWefI/GzOowpUIj4qGHWNtwAA8VHB3R5F\ndNed/gDQrdxHzsA2lJzBGSM4TbnCDucb36qnOjBar7PzcVedInI2R9ppV4yidqSf4K5zIyLqjvPl\nNXjmoVhoa5twz4Q7MT1hBKJHBuKJ9K7TfpDjGNjzIo5OEXBWJ7+z/23rXH61OAkfbC9AXGQwZqWE\ns6KSFXsdVVckd7bV4bX3347whCk6/VVvA52zUsIRG9Gzf0t3JRZnQnPyNAYBYsqCaQmhPT6OM8o2\nX36QMzkSAOtY5n69OAmnL153uCy7onx21k/oTj1j3SEid1AFKvHbzBRcudaID9sXzXjqvrG96mOQ\nfQzseYnu5uRy5U3c3rnERQ7D0/ePx//++wxyiqrRqjfwYZWsdBzN4Yp8c84OmrgqJx4727f1NtDZ\n26nhQN/lMGKORXImZ7R3ziqTzizbnbUJHO1KjuqsfnQsRx1zTi9dudft7XRX6W/ceW5ERPZoanTI\nLarCf85WIbeoWmyvNu8qQnKMmiP6XYCBPXKKkis12Hey3KLisqNBtnTsZDtj4RZznt7h5QOpfb35\nN+nJv6u7F94g6i1Pb+9cgaNdyVGd1Q975chUd5yR05H3eyIaiLJOluPY6as4cbZKXASLXI+LZ3gJ\nT0qA2/FcZqeEI79EAx8ZixMZO7L2OsS2klMD8JiybY+z6l/WyXIsXbkXS1fuRdbJchec6cDU03/X\n3iy80Vsdv5fInZzVxjmzr2KrXjt7oS7q32y9vAEcK0e9LcuuvN970jMBEZGJpkaH0sparP/iNKLC\njSPyCs5rLBbNeOq+cRyt5yJ9PmJPp9Ph5ZdfRl1dHVpbW/H8888jKioKL730EgRBgEqlwltvvQUf\nHx/s3LkTGzduhEwmw6JFi7Bw4ULo9Xr87ne/w9WrVyGTybBq1SqEhYX19c/oM+Zv+zwpJ1dc5DAk\nxaghCED2qatIiApGXGQw7vDzxd4TVwAYc+IAxt/g7vMlx/XmDXNPR1I4M9m6q3IzOVL/Ovu3G4gj\na/qCpkaH97cViG8EjXk+Hft3VQUqET7cH8ntnw0f7t+jqYemY3XH4fxKJEYbv/dIQSWeSI/p1ueJ\nAOe2dz3pY9gq/1IJxPoolfToVOzWa6LOlFbWyNOAHAAAIABJREFUAjD2I7JOluP9bQVImxiO/TnG\nwJqpfjgaDO5pv9sZ9/uu7i2e9ExARHQgpxyH2hfgemhGBL44eBGzJ4bjQE45sgsq8avHEzHqzjsY\n1HOhPg/s7dixAxEREfjv//5vVFdX4+mnn0ZiYiKeeuop/OhHP8Lbb7+Nbdu24eGHH8batWuxbds2\nyOVyLFy4EOnp6cjKysLQoUPxl7/8BdnZ2VizZg3efvvtvv4ZfcJWkKS3N+/eBG3MP2t6C3q27Dqm\nxo/A/pPlOH62CmkTw5EyLgSCQYCvjxRLV+61OH/ybL2Z4uRIR9YZi2e4axW4rr7X9BARFxWM2Snh\nSE1kYti+Mis5DNfrmwEAM5Mcf9GjqdHh870lmDd5FABg674STI8f4XCZ6Wl9UQUq8dxjCVwYgJzC\nWQG57rJV/jU1Orzzye37QF5xNWIjug5o2Dqf1MRQcaST+TRJLqpBtmzbfx6bvjkHAPjx/PH4154i\ntBkE1N+8hUdmRmJGYihGmz1QPvdoHD7YYUzm3lk56jg1ty/Km6P3FpZ9IvIEmhodqtrbyKJLNxAz\nKhD3TrkLX2eXITFaDakEmBAZzDbLxfo8sBcYGIji4mIAQF1dHYKCgnDixAn86U9/AgDMnj0bH330\nEe666y7Ex8fDz88PAJCcnIycnBwcO3YMjzzyCABg6tSpePXVV/v6J/QJT1tQwPRZH7kUS9JjxM7T\n43PHoOyHekilErTqDdifU47EaDXyS6ohAByd5EX6akRZx4fQ7nzv7mNleL99VaW+XAWuq7pjGl0y\nPTEU+9tzTeqaWvCjKaMtzocPpM7XqGtBm0FAbvtqnmkTw9HYjTx5U+LuxBcHLwIA5kxybiC7Mxxt\nQc7U3SmCttqz7r5gsVX+G3Qt8JFLkRQZDAAoLNV2mbeys/MxHX9/Trk4qpV1hzoqq6xFYel1JMWo\nUXBeg03fnsXE8SEYMtgX+0+W4+S5agwPUmJ0+0g+U3/2hYwUjB0V2GU56m7/uTf3e47uJyJvk33q\nKv612xjfeXR2FLbuOy8uonmkoBLPPprANqwPOJQU7T//+Y/Vtr179/boC+fPn4+rV68iPT0dmZmZ\n+O1vf4umpib4+PgAAIYNG4bq6mpcv34dQUFB4ueCgoKg0Wig1WrF7RKJBFKpFHq9vkfn4o3s5S8z\nbe/s7z3NS2P+2QmRwdj0zTnxOJ/vO4+2NgEzk8PgIzcWJ6kEeHZBHE5f0Pbux5JX6U7OF1WgUgzq\n2cuB09Hh/Eq8v/10n+dWcrTuJEarsL/9QbTNIOCDHaet9kubGI51r8zFulfmcgSrkzS36MUAQJtB\nwP6ccjS3OH5POJRXiaQYNZJi1DjcPoXAEaYAxsRxIZg4LgQ+cqnDZdnEVA+IOuosV2lvj2urPXNW\n7jp/pS8enhkJiQSQSICHZkR2mreyp9/LukPmzl66gdyiauQVV4v90dlJYVb35NLKWrG8Nbe04a9b\ncro8tqNltGOdjYschjW/nmHzfu+q+k1E1FdM7dih3HL831dnxTZyx4ELmBAZLPbJ31h6D595+kin\nI/YqKipQXl6OP//5z3j55ZfF7Xq9HitXrsTcuXO7/YU7d+7EiBEjsH79ehQXF+OVV16x+LsgCDY/\nZ2+7wWDo9jl4A1tv+wpLr+OdTzp/y542MRyH8yvx3GMJDlUiR6cWmN7Ajxzuj7ziaou/CYJxXn1y\njBp3jw9B8tgQqAKV8PGRc3SSF3HGiLLujKQwlVvlIDmeSI/BJ98Z3/Q8dd84q89qanRijpye6OkU\nGlPg0UcuRVtLm939VIFKTBoXghNnq7o8JuuBcwUHWP972tpmS6OuxWq6n6Oj/fyVvngwNQLb918A\nYHxD2VcLb1D/5g2rvqoClcicPw4ff2scvW9qtzU1OtyoaxZH0AYMUVh8ztG2uKv7EVcbJRNNjQ7/\n++8z4gi3AznleO7ReIwZGdjp53zkUiRFq2yOKO1u+eo4m0AqQYf++u3jdFW/ObqfiDydeZv3xI86\nzxHtaJ+ceq/TwJ5Go8E333yDyspKrF27VtwulUqxZMmSHn1hbm4uUlNTAQAxMTHQaDQYPHgwWlpa\n4Ovri6qqKoSEhECtVkOj0Yifq6qqQlJSEtRqNbRaLWJiYsSRenJ5n88o7hPmQRIAWLpyr9XQfAAW\nQ/ZNU2E7Dt0vLL2OOZPCxQdYW4HCjtMjzWXcOxZbdhVBLjeuZrN5l7EzPyslHAdzKwAAT9471iIh\npqNBHnbQPYczpjjZWzjC/G/mb8BjRgVha9Z5cSGBT78rRlK0Cv5KX4tjnb6gFZOwAsZRoY6cY08f\nks0/9+P547Ftfwl0zXqbnWxNjQ7/+8WZHp0f3dbTtmDJvBh8utcYGF481/FFKARYT/d7YProzj9k\nZvv+C+Jndxy4gPum3OXwZ4lscfY0PPPFBIDOgwa2AnX2jqOp0eGTPcUW7faMxFA06Fps1il7uVQ7\nOx979yNvCHySe5kWXVn6yASs/+IMAGPZiggNwPInU3A4vwL+Sl/sO1GOnKJqq5flHfPldhZoM59N\nABjrbFKM2mYddrR+c7o5EXkiTY0O56/UWLR527LO46HUCHx5pBQA8PjcaOw4cAFymYTPQn2s04hY\nUlISkpKSMHPmzB6NzrNl1KhRyM/Px7x581BZWQk/Pz/cfffd2LVrFx566CHs3r0bqampiI+Px+9/\n/3s0NjZCIpEgLy8Pr732GhoaGrBr1y5MmzYNWVlZmDx5slPOy1N1TNrbHebTwv6+tQAzk8PEzs6t\nFj1yS6rFfCSmjsjpC1qLHHqmEYAzk8MwMzkMe49fQX6xBi88kQyDQcDftxVAEASxw2Tv/O1hB93z\nOLsB7uoay6RAq96Ak+eMo93kMgk+3lWEXLPOtipQiYVpY7Bt/3kkx6gxcVyIRf46W0yj7d7fVoA2\ngwDlIDnKq+pxrkyLcaODu/yseed707dn8ZvFSRhvIwm8pkYHba0OrXoDDuZWiElio7sYLUCWzFfT\nmpEYilkpjrUF16434npdk9i2Xa9rwrXrjQ6PunNkm6vwpQa5kvliApnzx+Gx2WMA2A4a2AvUqQKV\n+PfBCzjVnlojPioYj8yMsvud9upUZwGNupu3xPpbd/NWp7+J+ceoo3Nl1/HwjAjsPGx8qJydEo6j\np3/AlWv1YqoFU4DO1B9JHqsW/wZYrrpsL1+uKYekeRnv7WyCzrBME5EnOZRbjgpNIy5U1Flsb9Ub\ncO3GTSTHqBE9KhBfHi5FbEQwpBIgeWyIm852YOo0sPfhhx/i5z//OXbv3o09e/ZY/f2tt97q9hcu\nXrwYr776KjIzM9HW1oY//elPGD16NF5++WV89tlnGDFiBBYsWACZTIbly5fjmWeegVQqxbJlyzBk\nyBDMnz8f2dnZyMjIgEKhwOrVq7t9Dt6os7fa5ttnpxiTVD513zi8/N4RtOoNWP5kCuKigrH3+BWL\nleqSYtTIK67G7InhyC6ohCDAIoceYHzbnjIuBDX1zQgf7g+pVII2g4C8Eg0O51f2agVQdtD7v86u\nsancSqUSpE0MFzvHs1PCcSC3QsxlY+pMb806j4QxwQhV+yOvpBpjRwVarHBnruP09ONnr+HeKXeh\ntLIOl681IC6qFgs6eTi15VB+JcZHDLPYZvqeSbEh4m/IL6nG7JRwVGpv2j0/sqSp0eHUBa3F9D1H\nVtIEjAv0fGfWtsllEkxLuNOh771ep7MYyZw2MRzX63QOfW9vp0v19qUGg4L9k7Om4ZVW1lrcyz/+\n9hySolUWI/c66viCBTAuSnDlWoNF3SyrrMXo0ACLl4CZ88fZ7JOYzl9To7NaVMN0nhvac/MAxr5J\nQlQwIswWOTAdky/+CLBs+7bvv4CN35wVF3Y7f6UGB3IrkBStQk5RNdoMAk6crUJecTWChyrEF31S\nqcTmqssAEBcVLObmA4APdpxG8tgQnL543WZ5tDWbQOErF9PWmNdhTrMlIm+kqdHhhxs6fLb3PKRS\niUWbt2ReDC79UIcwlT8kkOBmUyvyS6rZvrlBp4G98ePHAzCuPussSqUS77zzjtX2jz76yGpbeno6\n0tPTLbZJpVKsWrXKaefjTewNzY+LHIakGOMooXpdC+6fNhqf7ClGm0EwJoTPq8CspFCxY24iCMaH\n4gM55ViSHoNPvytBcozKYh8fuRShwX744lApcoqMQUDzqTamDpMjq4oRmS8wYCrPDboWvPzeESRG\nqzFyuD++yS5Dq9527kx/P4W4gmnCGJXNwFnHYOL+nHL87KEJKK2ss/lwaosqUInnHo3DBzuM+SNm\npRiD3/a+J+dcNR6eEYHk9rf/UqkE//NpHmJGsl44orPpe12RyyRWAQNTUKIrLa0GHMqrFEcpHc6v\nxMwkx19S9HS6VG9fajDg0b/1xTQ8W4Hhji9YANt1c1ZyKDQ1OqvAoWmEn1RyeyqktL0qqgKVNgOB\n9hacceSlEMDAyEBj3vYtfWQC/rWnyJiwvaVNHHFqr//wedYFpCaG4kBuBSAIFuX6SEGlmIZh3Ogg\nq/5yg67Fbnl87rEEfLC9AMkxaswye9EdG2G7DnOaLRF5mwZdC8qu1iF5rBqCABw9dRXJMWpMih2O\nTd+cxdhRQVAoZPji0AWsfG4qggO4wJU7dBrYM+XCW7BgARobG9HQ0GB3EQvqG+bTZsynBOS2v5kE\nAGG8cdjrzGTjimA+cimmxY/AC08k4b2tBWjVG8RRUSZhqiEQBMFq9NRjaWPwr93FFkmJH5kZiZMO\nLBLgyG9hB73/MX9gVAUq8ZslSTicXwmZVIJxEcPwwjuHAFjmWHrusQT87bM8FJYap4Kb8jyZyoQq\nUImlD0/A2m2nxLK4/oszuHv8cIfKTKjKD+u/OGPxcDrv7tvBEFsPuT+aMhrKwb44kFOO7C6Wam/V\n///svXl0FHW6///qLYEmgYR0OkATIGsngewBZAlZCAFRQRYRcfDOnbnen16vjj/nzHi9d878vne+\n5+jMnGHUGUcZdObOVUcBZXcUBCFsikA2wpKdJQRIOiEJCU3S6XT//qhUpSvdnTSLbNbrHM6Boqu7\nuutTVc/n/Xme9+Og3tKBE0Ew3320TnavVLKrBuZmSmJ1WjWPZkVRUy+UBiycFSV16B6M0YYAMlNM\nMjFjtCHAx6O+MyiZzt8PbvZ8RpqC3DzzxGw9b8Lw/pI+kftAaT1P5JsJ8HAdetomYmmx8qdPS5nU\nK7S/vaFUEjg8CYHejnMg+5HcjHAmjA6UvqfC94P+9773thwn1WyUNa1Sq4TFnsRoA0GB/lJGnugH\n7XQ6STMLE1NxQUijhuDAIVJskjdlHIuyoti8T1hEfGZRovQ80mnVJMeESoI1eBfqBrqGlfv1/U9P\nTw81NTU+vz4qKgqNRvMdHpGCwvUj7/Rt4G+fnaTb7iA3IxyNWkVxRQPWTjuJ0QY+/rICW3ePIurd\nQXzqOvF//s//YdOmTQQHC55RTqcTlUpFQUHBd3ls9zU3M9EvKKzjWHWTFLC88HgqLy5P5c3eQD2z\n159q1d8LUatVzEwx8fraviYAZy+2EmUKoq2ji7KaJh6fY2ZGsonYccGy7CmAmrpWt8/PTDERHjb8\nlghyysrlvYMvY9bThNHhhMLe1e8AvR9qtYpuu0MmSPQfB7N6V7xdP0vMABkMT4LxWGOg2+vELk0D\nZT9lppiIGx8svW9/0dL1c2YmjcHS1ulmPq9kVw1OaLCep+bH80Hvb7fSQ2dkb/hptTT368Lp52ND\npdBgPSkxBkYECJO2iNHDb0s5rbKooXA7CB0xhIVZUdLfYWBheFleLOVnLgPw2OxY6T7X/9oUxTRv\nJbfeShy9sSQnhtRYoVrAlyYfyj1VQeSBiaOkktcn8s1UnW8l1WwkKMCfGUljmJIwih3fnuXrYxck\nQe4H8+II0Puxr6Re5ictxiZfHTnH5Pgwtwy8F5enymLv/SX1LO71rfTl/q0s8H2/qKmpYeUrH6Ef\nMXjsam1r5IPXVhAbG3sbjkxBwTd2H63jvS1lzJk6ji17ez1MM4RFkj2FdUyOD6PH4WTFvDg++aoS\nW3ePEs/eYXya/RQWFnL48GH8/f2/6+P5XnAzQamlxcq+knpZht4f1xez5pU81rwiNDhxFSCSY0Jl\nXiEffHGSf3oogXe3CCWGCzIj2binSiqhEYPpgsI6ymqa+Kf5CUyOD+PQiUuAIHREmoKINAV5FeSu\nN3hRbgB3P76MWU8TxgmjAz12bRZ9nMT9YOCVbvE1voohngRjb5PQwbKfPE0mX1yeysTIEBKjQqTr\nDuCPv93t1t1Xya4aHEuLlY9djPvX7qwgs/eeNBjeSgV9xe6ATQXCqvoLj6de1zG/s6HUzXzd13N7\no4sarlmwgM+/k8L3C0uLlT9+0pc59/nB08RHhHh9/en6Vi41X5UWYYIC++wKFufEkNJPeAPvmXP9\nr8cn8s2DjltPmXfemnwMdE9VxJN7H9dz2H8xzdUi4/llQiwSEx5Eu9XGtgOnKSxvpNvuoLiikVU/\nmcWb64qZO3U8QQF92Xszkk0kRoW4+Um7xibL880E6v1k42jcqEDeWOvaVOsUKS6+lQOhiNHfT/Qj\njAQEX78HuYLCncbSYuW9LWWsnB/Pn1064Bb03itLKhuZFGVgxDAdCZEGslPHAsqz907jk7BnNpvp\n7u5WhL1bwHdZRtVfjHjh8VQ3XzCAY9VN0udvO1Ar+YKBPPhYMCuS9V9VMn9GhBTsz0jue0B5OmZP\n4oe31yrcG9TWt97SMSuWyjy/LJUTtc28sXbgYLf/mHIVsAfiVvrauF63Oq2aY9VNbsdtabF6NJ9X\n8I0b/e3UHqpuPW3zxM3ej683M+lW4ZoF63pPVlBwxdP49JYJ19Rq5asjfYLc7qN15E3uG9OexIvr\nFSsGGrfeBLn+//bkyddutSnZ0fcJrudw5fx41n5ZQbfdwYvLU3E44b2tJ2RdbgFOX2yX9hGzSbQa\nFV02Owuzojh94QqHyi7K7vOrfjLL7bPF2EQsvb1Vcatin6CgoHAvMmfKOJnVgYhaBY/NjmHEMC1Z\n6ePuwJEpeMOn6U9ubi55eXk8+eSTPPXUU9Ifhe8GS4vVq7+MWKY4e3I4Wo0KrUZFTno4J2qb3V6b\nmxHOM4uTeHZxovTap+YnUFbdJHtddrrgc1Zb38qB0nqp8+22/bXMzgiXPPbELqXejs01eFGrVRyr\nbuLpV3fx9Ku7pMmFwr3F7qN1fLi93KfXllQ0kpvRNy4XzIpEjTDBErc9syiRZxYnseaVPBKjQqTV\nb29jq/+Y2l9SL03ibgRPWR2ux+ctC9B1MpkcEyplpIjHXVsvlKz3f69IU5BP768gBBBTEsKYkhBG\n3mTfA4VhQ/xk4y4nPZxhQ3zz52u32tBp1WTEh5ERHyZr7uIL+0vqSTUbSTUbOeBhEWUgdh+tu6H7\no+s1Mdg9WeH7jbfxKTa3EJtuQZ81gSuu2/rHJQONw7wp46TrcXbvtTzQ66/nWgjUu1/vgXo/5bq4\nD+h/Dj/84hTzZ0Tg76fh7KUrfHP8AskxBpxOpPNrabFyoFQY52q1ioLCOjLijDw+x8wrb3/Nxzsq\niBgz3O2zAvV+bs/mZxYn8dKKdN7besLjWBT9IMV9npwXJ/lBKmNNQUHhfsHSYqWp1cqWfbWUVFrI\ncXnmPpIZSVzESP5x8DT7Si4q9767DJ8y9latWsXLL7/MqFGjvuvjue8ZzFvJlxXn7PRwxo8KpKW9\nC6cTCnpr3SdGhngsXZg7LYK0uDDKz7bwzoZSmVn8ygcTpFX9/iueTqeT0JE3JkK4ih+grFDei4hB\ndv+25p7EKUuLlT9tOIZarSIlVpgsNrRYeX97OdMTR/ODB+M5UdvMe1tP8KxOK2W4+YpOq5aawRSW\nN95wNobrOH92cSJpcWE+ZfKJk8k9hXUy02yRD7eXU1Te6DGjUPGR9A2H0yll88ye7Pu5dQKHjl9k\nwSzBS2zX4bNSd8PBCNT7sSg7ivW7qgBYlhfjc9MOuPGMPSWDQ+F2kJ02luYrnQBk9ZbJWFqssnLC\n4opGKXbw5nN5vZlwQYH+Uol6UGBfpUf/7tXi8VzPtRAarCcp2kBbRxcASdEGWdyjcG8xWOn0BUsH\nD82IYNv+Wo/326LyBslfNSdD6F6/KDuKV97+WhpTW/fV8MOHhUXtspomqRFWboZe9my2tFhZ9ffC\nAcfikpwYxhiGUXGuhW37a1GpVJJPn7drQ/FUVVBQuFcQn/eTJ4a5dcBNjg2lrKaJa512piWOYV/x\n+cHfUOG24pOwFx0dzaJFi77rY/ne4G2ifz0BboDeT+azJ5au9Rcu4sYFY7XZAfjDumI6bT0cPHaB\nR7OiMBkD+PCLU6TEGmSfK3a+HeKvZd3OClbMNfPxlxXAwAGJa/DiSfxQuDvwFEh78rQR6bY72Ft0\nnjSzUVqh9oZYTjnUX8O8ByawdX8tReWNLJgVSUmlxa1pxmDBrmtJ+Z6bEIrFLtKu5bSHTzZw8bKV\nCaOGMzEyRMrU8va7iJNJP52af3oogfc/PwkgdZjucTh5c53gdzlYOZmCO/3LAJfPMfu0nxqYN20C\nG/dUA7A4J9q3VHSgqdXK+l1V0ud+8lUVqbGhPp+vwvIG/vmRiQBsKqjiiXzfjvlmUCaJ3w9ut1ec\nN59LwGtc4mkc1ta38ulXVTLhcHriaAL1fizIjGRD73W6JCfap+MSs6FdnzvZ6eFuNh/KdXHvsfto\nHe9sKCUx2iCV1rp66OWkh3PFamPjnmpSzUY378aHZ0bwTj/vpxcfT2WIX9/URqdVM3XiaP72mfC8\nfnZxokx8uxFbjt+8f5Qeh5OM+DA++PwUarWK5JhQDpbWe41LlAU+BQWFux1Rh/D30zAmZBhb9gkN\nM3IzwhkR4Mfft5dj7bSj1aiYHB8mLZIo3D34JOxFRkby8ssvk5aWJmvFvXTp0u/swO53bvZC8BTE\ngjwAX72pjB89Mom/bD0OCBfmwWMXmJ40RjKLX5ITTX1jh9v7n73UTlG5UFp59tIVUs1GslJMZKUP\nvFLvGryU1TQrQfZdxo5vTvPORiFoFleXRTFYp1WzPN8srT6/uDxVGmNOp5MZySavol7/8bgkN0Yq\n4QbYtr/WrWkG+BbsigbtYjbX9SJ+v7Q4YcLaP/svNyOcg2UXOHKigdyMcJKiDWSnh3vMUpkYGUJR\neYPk85OVYuLPm8votjtu6NgUbp5Om52Ne6qlsbapoJop8b51UL5Z5j4wnv/ZdgIQsv185WZFCGWS\neH9zK7ziOqw2ehxOKZspNyOcDquNiF57AE+NhK7X5/J6xmG71cYGl+t0Y0E1M5LHSOWN/buJA2zY\nUyU9j1bOj2dJTt81pogn9zZi86GZKSb2HK2jrLqJhstXWbezklSzkbjxwTS3dYJTGC8aD6s1Xb2L\n1q40tl7jz5vLpOzT1Fh59cjqTWWkxYV5HB83cl/WadXSdwAhg3DuNM8Z48qYVFBQuJupPt+CTqtm\ncU60bA63p7COjPgwpieNkSr6luebfWocpHB78UnYa21tRa1WU1JSItt+M8Le1q1b+ctf/oJWq+WF\nF17AbDbzs5/9TCj/DA3lt7/9LTqdjq1bt/L++++j0Wh47LHHWLp0KXa7nf/4j//gwoULaDQaXnvt\nNcaOHXvDx3K3cD1BhaXFKuvI6a0UpbiyUXZhPpoVxaaCGllwvWJeHHOmjONyb8nOyOFD+OpoHWq1\niraOLlJiQ/lweznFFY0kRA6eJdVXgqgfMMhWutfdXvaX1MtWt/t3rU2NMsi6xL25rpifPpkulVS5\nZmF6OneuHRIvNV91+/wJowM5UdvktsLjy/kP1Pvx0yfT+eP6YrrtDp+FENcs2JJKC7kZ4bR1dMmy\n//YU1rFgVhQ9jkvsKayjraOLcaMCPWapALyzsQy1WoXTCftK6vm3pcms+nshoAjYN4rVamN5fixV\n54TsnJhxQVitNvDht7R5EFU9bfPEED+tVGINQoaIa7bHQDS1WtlUUCNdH5v31lxXtp8iQih44laV\naXfa7Bw6fpGFWX0l6nOmCAKht262/a8Fkfyp4wSRBQgZMUT2Of2PK9IUxBP5ZtbuFLL8l88Rgn8x\n887T913rkim4bmcFs1JMtFttsufRh70izWATCeVaund4aGYE5y61E6DX8djsWI7XNpEcY6DHAZ/u\nriIlJhS1WsXK+fFUnL3sNj637K9lwaxItu0Xskqy08PZvLeaOVPH03Gtm4yEMMYYAq5rUXCw+7Jr\nnH6itomnF07i7Q3HfBIOFe59enp6qKmp8em1p0+f/o6PRkHh1rGnsA67w8GzixM5b3Gfw9l7nBQU\n1pFmNg6Y6KFwZ/FpBvPaa6/d0g9tbW3lT3/6E5s3b+bq1av84Q9/YPv27axcuZL8/Hxef/11NmzY\nwMKFC3n77bfZsGEDWq2WpUuXkp+fz+7duxkxYgS/+93vOHjwIKtWreL111+/pcf4XTKQoOXLZM/b\nan5/YfCx2TFSZp7IWGOg7N86rZrOLjv6IVp2Hu7zt9Jp1UxPGiNlNS3OiWbHoTM3+I19/w4K3w2W\nFqsUEPuKTqum+nwrTieUVlkkL6YTtc3sKxGM2GelmMjunQD2717bv6TmswOn+ZcFE2X+er4Ev558\n8XwV9VwbIXTbHRworee/n37ALdCvb2wf9P1E+q/QT0kI87lTr4JnrlyzYWm5Jp2XoEB/rlzzrYmF\nq/8hIJnp+8LN+POpVO4ee6rrtCC40fGi3D8VBmOon9atRH1or2jtbfzsL6mXBLYDpfVSaXngMD++\n/PYcAEtyBy6htbRY2fntWZ57LBmAdV9WCNcG7sKh4tjx/aWsppnNBTXoh2h5eGYE63ZWkDdlHFtd\nSr+iTCNIiBhJhCmIU6eb+OWaQ7LxOTHSwIWmq6Sa+3ygZiSNYcveGuk9tn9zZlCP4P4M9v9inH49\njZYU7g9qampY+cpH6EcMXhXQfP4UIWPUTeF4AAAgAElEQVTjb8NRKSjcHK7VXIuyo7B22t2e1wVF\ngp/eYJZMCneWAa2IXnzxRQCysrLIzs6W/cnJybnhD/3666+ZMWMGQ4cOxWAw8Ktf/YrDhw9L75mT\nk8PXX39NaWkpSUlJDBs2DH9/f9LS0igsLOSbb74hL0+YSE+fPp2ioqIbPpbbjS/d38SmF54YrPNb\nbkY4q34yi5dXZtDZaeeRzEipk82i7Ghqz7fyTw8loNWoGD5Mx7I8M6cvXGHLvlrpPXcfrWP+9AlS\nVlOPw8mmgmr+/bGU65qIevuuSve6O0NZdZOss9EzixJlXVtP1DZJHd+G+mtYlhfL5oIaiisayUob\ni06rpsNq41h1E0XljRSVN3KsuknqCOd6Tt9cV0xaXBirfjKLVLORgqLzdNp6WL2pjP0l9T53QOz/\nvqJQOBji2Hv5rQOyLnb/tiQZQ5Be1il65YPxHKtukjosZqaYvHazFcVz12tj9aYyJcC/SbQateSx\nJ96DtJ5qrzwQYQpi3KhA0sxG0sxGxo0KJMLHoCPSFMQjmVFs2VvDlr01PDwzyveAxYmsO/KewjpB\nKfyOUe6f9ze+duoeDAdIJeriM9yB9/ETGqzn2SXJlFQ2UlLZKGVWt1ttbNjd9z4b91TL7neeOoLO\nShvLW+tLeWt9KZm9TTsC9H5o1CrpOtWoVQTo/QgN1rM830xxRSPFFY08PsdMaLDerQPpDx6MVyYT\n9wmuY3DO1PF8duA0y/Ji2eoSh+4prKOkysLpi8KiW8Pla2SmmCipbOREbRNLc2PQqIW4JijAn5LK\nRiZFhrjdkydFhnCwtJ6XVqSz5pU8EqNCbsn9sqymmZfe2OcWYyhZ+/c/+hFGAoJNg/4ZGjjyTh+q\ngsKgWFqsUjVXj8PJuUvt7Dh0loKi86TECs/rjms2nE4nzy9LVZ7DdzkDZuz94he/AOCjjz6SbXc6\nnfzud7+74Q+tr6/n2rVrPPvss7S3t/Pcc8/R2dmJTqcDICQkhMbGRpqbmxk5su/GOHLkSCwWC01N\nTdJ2lUqFWq3Gbrej1fpWQnWnuBUlNuVnWwb8//7ZTRFjAgkK9KetvYvzTR3Yux08mh1NSoyBMxev\n8Oa6EqmUzJXU2FC3bL8wDx1yvWVeKV0f7y7ESdvqjaWkmY1k9wpYIF99DtT7SWVQL72xT2ZK/dKK\ndJzg0cDaU4aUOPlzbfICsK/4vE/jon/Gna/IJq62HtbtrGDVT2YRqPejrKaZp1/dhU6r5qUV6cSN\nDyY0WE9m73cO7J1ouv4u4u8njvW48cFunyl2xVWyp24MQ5D7+fe0zRuPZkWTFC1027yeoOPU6SbW\n7ezzEVm/q4KUmBDiIwyD7mt3uJf7eto2EIodgYInblWZtqcutNf7uZ58zMRtnjL/2nubHbh6Xs7s\n9dJLig6htUO4pwcF+En31f4lt7NSTIQG61mSE0NqbChwfde1wt2H+Dx3jRV0WjXGID1PzovzWC5r\n73GyemMpo0OGsq+knhO1zaTHhzHGMIyPdgil3rkZ4aTEGHgi30y71eb2Pk/Oi5Oe67cq03mgGEO5\nlysoKNxLVNV51hVEz12tRsWrz07n6YWJyv3tHmBAJcxgEAJCk8nk9n+XL1++4Q91Op1SOW59fT1P\nPfUUTqdT9v/e9vOE4zonU3crg03yxGDCtazgmUV9F5r4/2KHrsMnG4gdF8wHn59iZoqJb8suAXD4\n5CWmJIxif+kFQCizzJsyjpYrfR46dQ1XeWp+Ah98IXQS87RafqNBktK97s4w0GTx8MlLvLtZaLLy\nwuOp0utccRW0dFo1yTGhqFVIweyLy1PZ31uiOynawMtvHSDFHOrm39h6tWvQY3Vt6OFqrH4jY6Xb\n7pAmE67B+O8/KpSV0Hrz03E9HhDKjEVjbpB3xVUE7BvjVtwTbmTir8Jd/PC5PNCJ29i+noy9gsI6\njyXtg6HcP+8vbpW42/99Ik1BLM2NkTraP9FrdG1psXr10vN0HEP9tCzOiWZTgVDSuyhbKOn1tng3\n4DG2dvJ+bzOMp+b3lagNJEAqgt69izgmT51upqymmebee2V2qokXl6dyoraZjk4bFWdbpIoCMbZ9\nZGYkO749y8xkE6+8/TUAeVPGMVyv48yldtRqFd12B3sK63gi3yw9w10tQFyzS3xZbL7Ra1GMMZT7\nsIKCwr1EcUUDDifMe2A8uwvrSIwyEBcxkvCwQLbsE5J7nl44yafFboW7gxtOcfMmsvmCwWAgNTUV\ntVpNeHg4w4YNQ6vVYrPZ8PPzo6GhgbCwMIxGIxaLRdqvoaGB1NRUjEYjTU1NmM1m7HZh5fhuz9aD\ngSdkA4lkrmUD3XYHe3vTY9UqGNYrWIirof39v9LijPz0yTRW/b1ICmje23Kc0KChaNQqnphrZuu+\nGpxOp7TSuTArkjMX2ygoOu+1G+5gQZKnAKt/owXFOP724+m3/vLQGd7dfFx2Lte8kud1rL64PJVj\n1U1SGW1ZTTO5GXocTmQeaT0OJ04nOFzG1uzJ4UxLGIWjx4lGo2JywijpOFzHef/V8FefnY6/n1Y2\nyfMWhHu7zm60/Kb/WH9zXTEZCWEsmBWFSgX/OHBa1hW33WpTxvQNcLP3BNGc/3qEAJUaFmZFUVvf\nBiCcU98qgOlxOt3Gdo+Pz0VLi1UqaQcICvBnog+NiUSU++f9gbfn/vUumnl6vaXFysdf9mWjrt1Z\nMaiXniccwPZvzkg+lDsOnWFm8hiP2dTtVpvQPGOumbW9gqLYOa+2vpWPv6yQKgTW7qwgJTaUQL0f\nj2RGyrwAfUHJdr27cR2Ti7KjcDj7OjSHDB/CzOTRDNPrqD7fSll1EzNTTBwsrSfNbCQjPoxjNRYe\nmh7BtgNCea5Oq8bhcLKxt5IkJyNc6s7o+pnvbT1BRnwYuRnhRI/1/VlwPdecsrhyf6E0xFD4vmFp\nsbK3+DwfflEOCM/dR2ZGsmFPNYXljTz1UAKP58VgCNaTN3n8HT5ahevhhtUw1fW6hLswY8YM/vM/\n/5Onn36a1tZWrFYrM2fOZPv27SxYsIAdO3aQmZlJUlISv/jFL+jo6EClUlFcXMx//dd/0d7ezvbt\n25kxYwa7d+9m6tSpN3wstxtPE7KBRLL+wcZzS5J4e+MxSiobyU4P550NpbR1dPHu5uPotGq3Dl3v\nbTlOqtlIZoqJg8cukBARgk6roqa+jSMnGzhysoHl+bHUnG8j1WyktMrC1n21pJqNdNp6OHKywedu\nuCKWFivlZ1v4389PkWo2Sr5l/VECoTuLpcVKU6uVQycuefz/3IxwIkYH0mmzy8oiJ0aG8MZa+Xh1\n7a4LQpCcEmsEp1PyThO3jwoZxrHqJjJTTPzpk1IAnpqfwKe7K7F22vnpk+my4+i2O/hkdzVF5Y28\nuDyViZEhFJU3SEavnoLw/l0fxUngQMH49UwUe3oEH4rjNcKERMoyyIzk5bcO8OySZKUk9wYQxYLr\nvTds3FMlywRanBPj036dth4ut3XKBLZOW49P+6rAbWxnpY7xad92q439JfWSyHGgtJ6HZ0Zc1/dW\n7p/3NgNlvA20aNb/PjXQ+3jKhBNtGXwVJQL1fsybNkGWsSdmQHtqWmNpsdLUck0a200t17C0WLF1\n25mVauKrI8LrZ08Ox9Ztp92Kx9LdgY5JaR5zd+M6JnVaYaWkpb0LtVqFTqtm6BAt/9+73wLCOMhK\nG8u+4vMkRhlIijZw7tIVvjkmxCW5GUJGfHJMqMwGROzOOCUhTPaZ6l7vxt+8fxToGx8DiXE3Yh2j\nLK7cPygNMRS+T+z45jTfnmygrLpJek5/dqCW+TMipHvgB5+f5NGsKJKjQ+/koSrcAAMKe1lZWR4F\nPKfTSUvLwF5vAxEWFsbcuXNZtmwZKpWKX/7yl0yaNImf//znrF+/njFjxrBo0SI0Gg0//elP+dGP\nfoRareb5558nICCA+fPnc/DgQVasWIG/vz+//vWvb/hYbjfXIx70DzZWbyzlF/88hX9+ZCInTjfz\n9bELzJ8+gcLyRtRqFZ22Ho6eanB7H6dTmDguyopi3a4q0uKMrNtZKQVdjZevceSksF9ORjgHS+sH\nPTZvQZJrwC2uqBZXNEpeZgp3HlF4/cO6Yh6aGeFWAvMvCycRGqynoLBOlpknluiKmaGDeTepVcLY\n60/luRYmRRlkQfoHX5zkmcVJNDRf5etjFyQBG/pKXdVqFceqm9hXUi/z7fMUhLuOw6fmJ3DqbDMl\nFRaeW5rssYOta+nvC4+nysZr/+zTnPRwNGoVe4vPk5li4kBvlkHs+GA27qmm09ajlOTeADcqztXW\nt/L5wdP8+7K+LpwpsaE+Ze6pUbl5RuakuS9CeMLpwQHC0zZPqPDQUde3XRW+x1xvVtHyfDMf9F5T\nK+fHS/cjbW+mqvj3weifsffgtAmEBusJ721aAxA+KpDQYD219a0UFJ1nUu/zYW/xeR6cPgF7j8NN\nCM9JN+GnG/iz+2fiWlqsvLOhVJqQrN5Yqtxr71J0WjVZaWMlv+bcjHBGhw7j71+Uy8bB5PgwEqMM\nmMcHU37uMt8cuyRZyrR1dJERb6Snxz2YmDdtPFV1rfxl23GmTRyNfogW8/iRUnMrkMcHrmIcIDWN\nuVGUMXf/IDbEGAxrm/scS0HhXsDSYuXMpTbe2VhGRkKYWwzav2FdpClIucfdgwwo7PVvmnErWbZs\nGcuWLZNt++tf/+r2uvz8fPLz82Xb1Go1r7322nd2bN8V3jyV+otkom+e6FcGQoA0M9nEL9ccAmDp\n7BgCh/rx2YHTJEYb+PGCibR1dFHX2C4TIbLTw/n62AUemhFB1fk21GoVapcZpKdV0B89Mon6xna0\nGuGF3lb0PTUXcBUiCwqFrK2SSndTZIU7Q3/hddfhczySGclnB2pJMxuZOnEU+Q9MwNJi9SigpZqN\nlJ+5LPNuWjk/nkC9n8yTceWD8ZLp+YxkkzS2RVGspUPus6fTqqm3dLB1Xy0AKTEG1rySR7vVxstv\nHaDb7iAjPozdR+s8NnupPt8q/b3dapONww++OEmq2cjMFBNvbyjlTz/LdcvUE1f6Z6aYWPX3QkBe\n0hYzLpiMhDDsdicFRefRalT8+rmZBOr9eHhmBF02O//3r4dJiBCuB1+M6hX6qK1v5X0XA/0Pvjjl\nszjXabORN2U8b60Xsj+XzzHTafOt6YrWg6rhaZvHfXUqt4wlrc43ec5bE5rr4UZKj0WUMsY7z0AZ\nRN6sBLxlFXl7vaemFIDM7+yqtZv4CO8ZgR1WG9OTxrBlryDO5E0ZR0dvZu0nuyqZM1Uo0/n0q0pm\nJo0hUO/nNmEI1Ptx1UPprtMBdrudx/NiWP9VFQDLZsdIFisb9lTJhMklvWJ///d3ZaCGXp62K9x6\nTtQ2k5sRTofVJhPZ9hTWSYKyK0kxoQz112JptTJ90hiOnmyUWcosy4vhQlMHy/Ji+KR3nCzKjua3\nHxTSbXcwe3I4b31aypPz4rnS0YVKJRxDQkSILN4F3BagxSqAgaxjFBQUFO5l9h09y4XLnVSKjTKc\nTrcY9MXladK8/+mFkzxW2inc/Qwo7HlqmqFwY3jzVAJBiBjqr2bF3DhOnbnMe1tP0ONwsm5XJU8+\nGIf1WjcatZqzl65I5bKn69s41utLsudoHUXljayYayZ0+FCGB/jx6rPTabnSxZotZcxIGiOtmOZk\nhGPttEkT0v5BD0BZteBr6EuXr8GCH7VK3uBD4c7hTXjdcegM//30AzIPu3arjXGjAqXxKuJ0gnn8\nSJl304dfnOJEbTNl1U0szzdTe76Ni01Xpeyrf1uaTKrZiNMJBb2eOJN7PXAOlNaTGGUgIyGMP/e2\nWwdYvamMNa+EEWkK4vnHkjl98Qojhw+huKKR0iqLLMNwaW4Mv/+oCIDlc2IJChzi9t3DwwI539BO\nSmxfWrmr596j2VEEBw6RdUhdvbGU7m67VPK7cn4863ZW4HQ6eWZxCpGmIEms99OpWZgVxcc7+sRO\nZcz7TluHe0MVT9s80WVzstblvK3bVYF5vG/2DA6ng6W5MWzYI0wWl+TE4PA17Q4wjhwqZSwZRw71\neb+bxZvg4QtKGePdg7dyPk/bm1rdPUKbWq1SJpKr9cBAdFhtMr+z2ZMFAcZb11AnsLfXbxeErubz\np08AYEbSGOoa2gGYniiUobdbbV47p/dvwhGo96Oj08bGghrJ82/T3hoSo0OorW9lrYsn37qdFdJi\nkaf3F7PMPS2eKmP+9mFpsfLG2mL8/TQ8kW/m8El5hlN9Y4fs+b0gM5LzDe2EBA+l8lwrX3x9hn9+\nJIE1m/p8fzfvreHxfDPlZy6zMCuKcGMAqzeWSbYJu4/W9XozOjlz6Qpl1U0syYmh5kIrJRUWyQdY\nPD7XMuFj1U28sVbI1n9pRbpSXaKgoHBfcfBYPf7+OtbuLEWtVpGTEc4VD/H12YtXeG5pMvohWqYn\nKfrPvYqPNuEKg2FpsQ5ozu8a7PY4nBwoFbKhth2o5aU39vGb9wu52HSVkkoLnbYe3t1ynCfmxtHY\nbOWzA6e5fKVT8rvLShuLRqMiMdogrYb2OJx8uruKwAB/fvN+Ia+8/TVHyxuZN20C+0vqpdcUFNYx\nxhAgmWer1CoWZkWi1ajQalRkp4dTUmUhM3XsoGm4/b+zWLIovtcjMyPRaFSkxYXd0t9a4dahVsGP\nFyQSH2GQJoS7j9bx0hv7+MeB0yzOiZbOZ056OKVVFo/v43QKfmVrv6xglGEYOw+fk8bct8cvUlTe\nyNFTDVKTiXnTJjAtKYwl2TEUljdKpeCesLR1sqmghvc/P8WyvBicTicHS+v50SOTWJQdzea9NfQ4\nnMxMMfHBF+Ws3nhMdtzL8mL5/OBpCssbiRvf51359Ku7+MnvC9h9tI7NBTX8z7YTzJs2Af0QYb0j\nMcrAe1tPkGo2kmo2sm5nBb9+biZrXskjMUqYeJ6obaaovBFbt4OPd1RI3/nDL05J18eNNu34PhEw\nRCM7Z4uyowkYovFpX0/l3r72drL3OEGFdI5R9W7zAVu3k637ahkbFsjYsEC27a/F1u3bvoF6v97S\nh75rS/QtG4za+lYpE0sca2L23mC4TmrFLs7K+LyzDNSR23X7ED+t25gZ4ifcq8R79ktv7JMy2UKD\n9TyRb5Zev3yO0DnUSZ83ZI9DWLV34n1s2LrtZKaYKK5opLiikZnJJmzdQkadEygqb6SovHHQhtBd\nNjvb9teSEmskJdbIZwdq6bLZcTgEH9WjpxqkZ4TDwYCf6wnXxdOi8kaOVTdJ919lzN8+ys8KGSEJ\nESGs31XpFkMEBfhLTTKW55vptPWwu7COyrMtFJU3kpU6lmPVzbL3TIkNpb6hgyMnGthcUENTW6es\nYRUIXcn/9tlJisqFbL+NBVX09AhxweqNpR7PuWvFihgfe2oKo6CgoHAvIjwDr3G5XcjQFxtw+unU\n/ODBOFnMvePbM5hChymi3j2OIuzdAkSR4OlXd0lBdX/6T9pSYkNpvdrF1n21UlCxp7COtDihI1ia\n2UhheQM9DifJMQa34CM1xsisVBNpcUbJnDgxysD6XZXSJPVAaT1V51pJjJa3qVapVMxKNVFS2Ujh\nqQa6unp4It9MmtnIwdJ6/umhBOLGB9/Qd547LYKXVqSTZjay/dAZHpg0sAm2wu1DLNkSb+TPLErk\nmcVJbh2YxUlQp61HyuZ79dnp+GnVOJ1OTtQ2sSwvxqvg1z8LtKymiQWZgng81F/D8nwzX3xzhnOX\nrvLpnip6HE5KKi2ySeszixIBOO0iYnTaeti8t4YfPTKRh2dE8v7nJzl94QrddgfJMaGSyN1p6+Gz\nA7UsmBXFo1lRku9dj8PJB1+c5FhVI+9sKKXH4WTO1PFS9mGPw8mmgmrmT58gfK+McLLTxqJSgUoF\nWaljCdT7UVbTzNOv7uKlN/bR43CiVqs8CknlZ1sGvS8oCHR1OyQfrwWzothx6Axd3b5lzvn7qZg9\nuW/s5GaE4+/nW0msvQe27K3B6RTEwK37arD71jsDnUbFA5NGs2VvDVv21jB14mh0Gt8+t8NqQ6NW\nkWY2kmY2olGrpPJGBQVPRJiCJE+7NLOR8FGBRPQ2BvIkXNXWt/Lp7ipJSNuwp8pnAdgVe49DFn/s\nKazD3uOg3Wpjl8sCzldHzkldcVfOj5euxx88GE+kKQirrcdNwLPaevDTqcmbMk56/ezJ4/DTqfHT\nad0+108nZJX/08MJTEkIY0pCGE89lECkKUjWkEaMfxSR5vYijsW8yeGoVRA3YSTb9tcyJWEU/7oo\nkY5rNjo6bUyKMuBwCk1Tmlqv8dCMCJKiQ0ntjRs1GmQxRqrZKBsLW/fVsGJun2j9eJ6Zv312UhYj\nJ0YZhCqB3r+LuMZBYqwiegEWljfKxHEFBQWFe5nCikbKz13G4YT/Z3Ei0xJH9c7FdJy52MYLj6fy\naJYQcy/JiSU+wjD4myrc1dxwV1wFgcG6abn6urj64OSkh7Pz8DnZe+m0asYYhkk+Y2Kp4oPTIzh6\nqlH2uoYWK5s318helxwTyogAf5n3TMc1G8kxoRRXNEqf+9mBWrJSx5IeZ0Sn1ZCdbsJfpyUnPVxq\nqvDu5uNeS1YG+86ZKSZJGFREvbuLgTq5WVqsnKztWynXadVMnTha8nV8an48kxPCMIUG8NmB0yyY\nFcUFS0evsOVEq1HxLwsnMSVhFOFhw6Wx/vgcMxv3VPEvCybR0GKVylUD9X6kmEM5VHaJbrujt8FL\nNP7+Gt7beoLujWX8eMFEdFo1Pb0lN912B9FjR+Dvp2VjQbVUlts/rbzb7kCtgrHGQLffYPO+WjJT\nTBQUnff4G01JCGP+dMHvTMz+EH+7jn7+fXt6y5lLqywyv7VnFiVed5e97zPdDqckkoHwW3c7fMt+\nczhAo1ZJJXsatQqHj9W0apW7X5cnewJP6If63bBPnhM8NhjwBVE4+fALoRRXFE58YSBfN4W7n0VZ\n0ST3LtS5nnNvzYxEIQ2QvHO8lcQ2t1ndPCOb26xo1O7rvxq1mi6be/acuG1JTgwxY0cAkBQjX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666/fqa9BbkY4E0YLnTdF/6+DZReIMo2g7apN8gIRA2GRc5fa2VxQQ25GOMkxBtnK9PqvKvnx\ngklSw4v23oYXLe2dXLp8lYmRIYwJHUZxpUXqFgowflQgDqdgTjwzeQyGID1HTjTIVh8D9X4DBi6+\nBjaiF1ua2ciT8+KUwPoewFs34/KzLdJr+q9WT4oMYdqkURiChDEgmpG7Nobotjs8inquk8rcjHCu\nddnZefic5I2n06iImzCSDqsN67VuacIXNy6Y7PSBuzH39Jbdrnklj+z0cKkzYofVxju9Rt1HTjag\nQvDoy0gIY0zIMFb9vVA6noPHLpAQEcLpi208/egkKVOlfwag09n3W3lCFAEFE3chG1Hh+rjY1MHG\nPdXS2NtUUE1KjMHHSZUKP61aEtj8tGrAt9Q5h9Pp1lHU4eMJ9JTZ52u2X3ObFYfTKXs++OrPBzcv\nzimT1bsbb+fX28JMaXWT5Oc7e3I48RHCvp7u994I0Pu5CdWiuNa/2ywIccn2b85IguKOQ2eYmTyG\nQL0f+4r7MvD2l9SzfI6ZLpuDT7+qkgmKSVEh6LTuGbcPz4zwKhBaWqx8/KWLV9/OCnIzhK6nN+o9\nqXBrKD/bIi1wuN5Tk2MMkqC2ODuGw6cuMTokgF2Hz8kWpwOz/JgUZaCg6DxZaWOlmCBwmB+zUsdy\npaOLdzaWSdt1WrWss67rgpB4DbVbbbL4RIwVQoP1HkVyZeFDQUHhXsHSYuV//3GCJ/LNXO20Exas\nZ8u+Wg6VXSQ3Q5jLiMk8x6qbsXX3MCPZpNzb7mPuiLBXW1tLbW0tWVlZOJ1Ojhw5wq9+9SsAcnJy\n+Otf/8qECRNISkpi2LBhAKSlpVFYWMg333zDo48+CsD06dP5z//8zzvxFST6B5LOHgem0AAqz7XK\nRBLXjDpROBB9PhbMinIrO7hytYt0s5FOm51rXT0MD/DD6RQCmXc3CQLE4pxoPjtQS7fdwSOZkWze\nVyuV7oJ3ka5/x9L+DBTYuL6n0+lkRrJJEfXuUXRaNU2tVt7ZUMojmZFs218rZRFpNCpix43k1b8d\nAYSx7TomBhN/LS3C+4oB+IHSev776Qf4puyiVLo+1F8jjLVoA+9/fkoqDy+uaCTFbPQ4NtPiBOGs\ntMoiK+P19pDSaFRkppho7ehi6/5aWVnX8nwzH+8Qsj6mJoyWOtq6ZgCKXXR1WjXtVhsqkE02+4uA\noj3bE3PNbNhdRbfdoaz6+4Cfh0w3T9s8MSokgCMnG1g+VxCd131ZweKcGJ/21WpVMpP2ZXkxaLW+\niYLtVhsHj11gztTxgFAS+OD0CT6da6cTyYMVhOdD3uTrEyGUMXV/4+me6kmoa7fa3MbSQzMEYay/\nwALCAqSnbrkgiB5iF1qxsYClxeqx26wamDdtgixjT7xic9LH0twmZKNmpwlZ0t4y8AL1fuRNDmeI\nvxCOjho5VBJikqMNDB8m7BcxerhMjOmPt99H/B29dRlWuDWIz/wFWVFEjBkuu6du3ltDmtlI3pRx\n7Cs+z5jQAEYbhrm9R31jBwCJ0QaZ6Fdc0cjk+DAyU8dy+GSD5Ad8paNLZqOxqaCamcl9Daw8NfES\n/z2QCKyMEQUFhXuFf344nqY2GydPN8t0B7EDblFFI4/NjqHb7mBWiokIZc5+X3NHhL3f/OY3/PKX\nv2TTpk0AXLt2DZ1OB0BISAiNjY00NzczcuRIaZ+RI0disVhoamqStqtUKtRqNXa7Ha329n+V/uLF\nX7aWMXvyOM73Bif9yZ86nmmJo/nzpjJJQddp1YIB8KxIqeRxzpRx6HQaCisaKT9zmYVZUZRVN5ES\nY2TdzkpZELMoK5rg4UMIDR7C9m/O4HTKTaM9iXS+BLgD/Z+yonlvIjZH2V9Sj0ajIm78SD7ZXU3c\nhJFs219Lcmwo+iFadh5uJC3OKDW0AGGSlBEfRo/DSU56+IBjwNJipcNqY1aqia+O1KHTqlk6OwZ/\nPy0vLk/lzd5S2sfnmPn1+0cB3FaWRFNr1/cuq2mWSmZnTw4nMco9o6u/6JidNpZdR+oIDwt0K7et\nONsifb831xWz5pU8QoP1ZKfrmRgZQnFFI+9tPY5Wo2JJTgwvvbEPEK7P9Li+rBaxIcfKB+O52HSV\nnYfPcfRUo5uXpoJ3QoL0btk5IUG+/26zp4zjrfWlADw+J9bn/brtTsmkHYQOygkRIwfZSyBQ78fC\nWVFUnBMyXhdkRvnsk2fw8N08bbsbUQSSuw9PAl5osJ7l+WbJD3Tl/Pg+n9CcGBImBAMQH2GQ3sc1\n+3mw8+sAtyxb0dtyRIA/Tb3C3ogAoQlOoN7PrdRXFPCCAofISmvFz77c3iXZmYjv421haaAmB0om\n3+1hYlQI/ho1H33VV7q9eW8Nj+fFEho0lGtdPXxTdgmdVs1jeTFuca/JGMiJ2iYSIkLcntfLe0uu\nG1uskh/w84+leu2s6wnXMTKQCKygoKBwL/B12UWG+mk4ebrZ4zxn3KhAYscHM3yoP0OHaBRR73vA\nbVfDNm/eTGpqKiaTZ9PG/mb6g213OG7cL+5W4FqismBWJLsOnyMhYiTmCSMFX71eo+gfzIvnd73N\nBpbkxLBuV4UgeOTG8NEO4e8r5sXR1dVDyAh//rrtJACPZEZKWUWjDcPQadWy8tvg4UP4y1Yhg89V\nSHCdfLkKeuVnW/jDumK67Y6bCnCVAOjexQmMCQ2QypmemGsmKMCf1o4utuwTsto8XW7R4UF8vKOC\novJGrNdszJ0W4fYacQKVFif4zqnVQsbcxzsq+HhHBS8uT2XVT2bRZbPzyzWHPK4s/eDBeF5+6wDd\ndgcvLk9lYqSQlfLOhlLUahXJMaG0tndJE9D+uIqOReWCF09ZdZPMx++ZRYm8t/WEx/0tLVbarTbe\n3XKcSVEGxo0KlJV+7Tpyjsm9ImdybCjL8vqEpKdf3SW9bvWmMta8EubbSVFAreoz9Ff72oUCONfQ\nzrb9tVJJ4GcHaokdF+zTPcpfp/Fpmyc6rDaaWq9J/25qvUaH1ebT57o2rAEha+peuKcqAsmdY6BM\n6QWZkWzozZxbkhMtlay6+oF++MUpZqWYJB/gfb2ZebNSrnm0PnDF9d65KHtg/8sOq43mtk5pghEU\n4E+H1eax6cUT+WZq61v5dHefELRhTxWTE8JQAXUN7dL7BAf6c7q+lQhTEGoVLveKgX+fwTL5FG4N\nocF68jLCuXyly610Wz9ER1CgP0WVFvz9NCRGG7jUZGV/ST2pZiNJ0QZSow3UXGzn8IkGjtc0s2Ju\nHBVnL6NRq6QSb9EPWCzb/su2Mh6bHcOnu4XsQNfs0/643rueXZzoFksrKCgo3AuI8/szF9vo7umh\nq8PucZ7zSGYk9ZYORgzzZ0p8mCLqfU+47cLe3r17OX/+PHv27KGhoQGdToder8dms+Hn50dDQwNh\nYWEYjUYsFou0X0NDA6mpqRiNRpqamjCbzdjtduFL3IFsPRHXEpVt+2ul8r7SKuECE4PPjms20uKN\n9Ngd1Na3siQnhsgxw/nth4X0OJyoHU4uWq72lfhlhNN+tUu2Ir5tfy3/srDPC+yfH57I+5+fdBMS\nPE2+XLflZAjlhUqA+/3C0mLlWHUTReWNFJU3Slly1eda+fbEJWmsglDq6ppd8UhmpMwfafWmMrds\nNNcJlCgMpplDpWtEp1VzrLqJN9b2+e65Zuk9OS+OJ+fFSV2b+78+f+o4hvpr2bJPWOE/fPISD82I\n9PhdxQmd6LfXY+vhswO1/HxlBtG9nfWG6f2oOd9KfWMH05PGyDya0uKMUsmwJ2YkjeH1tcUUljfK\nvK4UbpydLqVXWo1KJpgOhFoND06bIBM21D72sBjqp3UTLYb6+fY8abvaRY/DKQkPuRnhtF3t8mnf\n/hPUdTsrJNHFV2535pwikNx5vGVKb3CJEzYWVDNvgI7Srs8BEIQ3sezWU+zQbrWxbX+tNFY/O1DL\nzOQxqIEludFupbjXbHZJsAHBhmHOlHAiTEGyjuJiBmGH1eYmBKmATpvdY7m6pcXKG2uLZWWa4vEr\n1QR3Fv0QLbuO1HHkZINs0S5mXBC/XHMIEMbJuLBh7Cu5KHnhFlc0MmJZCu9sEMzeO209NFy+KmXj\nBej9+OMnpfzLAqFruvhc1mpUnLe08/OVGYSN1HsV9frfu1ZvKuOlFen8/iPBc1exy1BQULgX2H20\njve2lPHk3DiGB+jw12r5y+fHZfOc/3d5GgePXeBS81VMoQGMHzVcEfW+R/jewu8W8frrr/PJJ5+w\nbt06li5dynPPPce0adPYvn07ADt27CAzM5OkpCSOHz9OR0cHV69epbi4mPT0dGbMmCG9dvfu3Uyd\nOvV2fwUJsVzQFbG8b1KUgXU7KzlysoEjJxv4x8HTjA8L5OipRg6fbCBQr6OlvW//5Jg+AaTH4aSg\nsA6TMdDt/btsPaTHGUkzG0mMCnHrcFt9vrWvwYDDyR/XF1NbL99WUFhHckzorf9BFO5q2q022Rjb\nU1hHamwo9h5hDIm+NVqNUF6aFG1gzSt5rHkljwmjAr12U7a0WKUsNxFRGAwP6xvD/ce4+PlajVA+\nHqj3o8tmJz0+jKmTRvFIZqTs9c1tnVJGYY/DyXtbjl+XmNZtd0iiXkFhHUXljWwqqOHwyQYcTnnw\nX1IpHL9Wo+JEbRMr58ej1aikzrtvfVrqdo2JGSPi65TJgu94upd62uYJnVolCRs9DicbC6rRqX30\nybvWJ1qkxBr57EAt7dd8+1ytSuU2nrXXkWkoCsdHTzVcd6fygsI63tl4jHc2HpM6kyt8P/F27YhZ\noeL9SMwK9fQcaLfaZNYiqWYjqzeWYmmxEqj3cxurYsm5mGUrNPoSxr4hSE9mioniikaKKxqZmWzC\nEKSXxGzx9et2VmBpseIEt+O5mf5D/X3VlPvy7UNsJNUfUejrcTjZVFDNmUsdFJU3kpU2Vuokfq6h\nnRSzEJcmx4RKoq44JiZFGVi9qYx/X5osnctHZkbS0+MkemzQdXs9x40PluIbJfNYQUHhbsfSYuWj\n7ad4NCuKd7ccp6b+CsWV8tJb0Wf/67KLHDnZQGaKadCMfIX7izuX6ubCCy+8wM9//nPWr1/PmDFj\nWLRoERqNhp/+9Kf86Ec/Qq1W8/zzzxMQEMD8+fM5ePAgK1aswN/fn1//+td37LgD9X7kTRknlds+\nkhnJF1+f8fja9LgwmZfT3/5xkoz4MCkrytM89GJThyyb5Kn5CXy6uxJrp53nl6USYQri2cWJrN4k\ndCjNTg9nz1HfJnlqlbJK+X1CFMD6l588OS+OQL0fZTXN/HF9MQdL63lpRTpx4/tKGS0tVi40W938\nkS5fsVJU3sA7vR1yf/jwROl6EH3n0syhtHXYvI7xvCnjeGZxEqdON/PxlxVS1sbsyeFcsHj2qvQV\nb6VZtfWtnLl0RZZt+8f1xfz30w8weWIYx6oEj58Oq43f/2QWAb0+ULNS+uwDXLsCA3y4vZyZySYl\nY+QGUYHb+PJVIuvucZ9IetrmCa1GLcvMFCaMvq13aTw09/C0zRv9PQV9ZaCMq+8SXzumK3x3yEto\nhYDdm3edt6xQTz6QgXo/mS8qCOPz/2fvzgOaOvP98b+zEDSAsgYQUdlBZEcdF1RQGXVaW3er0rnT\nGW9tO7bTOr0dp72985s7X+0s3ttOe63j7Th1rVrRqe2t2lqwLrWtAlJFQQWrQCsECgoGDVl+f4Qc\nE5JAWJPg+/VXezw5OeE8z1k+53k+H+MUWmttVQdDTkrTkXMTEoIBwGqxDcB6dd17ao3F/txTazBI\nJrX4XYNk0m61Q56X+4fqngZ+QwaZHbd/+clo7DhcaraeMQB4rC0Fx8jgIYYKyxkRKL6stHqvYBQa\n5IWUGEMRrSNfXceYtlQdneWM5rmLiFzdwhnR2NQ2slmvB85frUNmeqjwgnf5rDh8W9MkvMRiccsH\nj0MDe7/85S+F/96yZYvFv2dnZyM7O9tsmVgsxvr16/t83+wR4CNH7Agf/HD7ruEm48vryEgOQX5B\nJUoq7s91lw+SYkyEH06f/97s8xqtHscKq4QbG28vd+Gmd9H0KFTWNuFOSyvGxgUKiYOTogyJro2d\nNTU2ECkxNdDrgc8LqyCViMyCfcaObXpTs2oek/o/SEynV+XMicOeT8uEaq3GdmRaKdkajVaHE+eq\nhYfEk8XVGB3uK0x1BYCt/1eCX8xNEKZgBfl7IMjPExKxCKkxCkgkIiyeEYX3PzPkw5mWFor/fq8Q\nrz0zGceKqi2qSKeZBL4BwLfdA8MvHhkDwBDosFYYRtmgQkKEHzavnYEmlRpecpnZVNv2/nm8At6e\n7ng4IxwffF6OVo3OMDo2NtBsmwDMC3S0Vc4tKqvl1MRu8pTLLNqXMRjQGanEMigotS9NHrQ6HRZk\nRmJ/28uT+dMiobUzb6tIZBmc68KAPbhJxEJewLt3LYMbtpiOuAIMgZOHJof1S7vrSYCERTd6pqOA\nbmKkP241G6aBJ0b6Cy8w2mtSqS3uB4xBDlvVdQHg9Hnz3HhLZ9rum7ZGEN5Tayza7cxxoTanw3vI\nZVD4DkZq2/VE4TtYqKzbWfEma8vZ7vqWskGFz85WwsfTHc0tasybFolAXzkamu9i7pRwYcr2vGmR\n+L9T14TPjQzywkcnKxAf7o/dR8swd0oEqpXNFtXnTxZXC0HryUkh2LS/GJOTDIFi05QYtjC4S0Su\n7PrNW2i6c//6+tmZG1iQGYX9x64gNUaB1FgFxBBhakoIZo4dwfPcA8opRuy5KmWDCmcv12BEkBf0\neuDitXp8VfI9fvZQPCAyTMt9cn4i1K1avPvRRbOouiHh71W0anQoLDPcqAd4D8Zj2TEovd6AA8fK\nMXviKHx25gZ+PjcB4SHeVvPfBPjIMTkp5H7Qbn4ystJDzYIRAG9qHlTtc8vsOHQJG56bIlQjbD+V\n9Xx5Pd7OLUZCpD8y00KR0Zb3Kzx4CB7OCBcevhZNj8LZS5bV6ArKDFPPAcMIjoykEMSH++HEuWpo\ntXqMDB4ivG3/vLDKZlEcANBq9ThZXI25UyIgEYnQpFLjZHE1UmMUiBnpA61Wj5XrjgIw9AexCHh9\nt6Hirmk1yMfnxOHS9R8QGuCF/ceumk21NQaDjME5vV6P1BgFxkT44+ylGmw6cB4pMTWYkhwCnR5C\n/zMWAdlxuBSft+UJlEq6ENUhMwE+ciycHoXdbZUxl5pUxuyMRou20aGGAIBUIoLGzpzo6lY9Dp3+\nVghaHP7yW5tFWdoTiwCFj/x+4MFH3uFIk/ZatTocPlYOwBAgtJetEVf9pTvXDxbd6LmOArrT0kIx\nIsiQ9sD4ssZLLsPDGeFmOfC8TAJjo4LN1+/ITyaFobz6FgBgzsQw4XNLZ8Zgz1FDn10yw/Dysex6\nnUWgrlWjQatGZ1G9t1Wjg7+3DC13W/FoW5C75W4rPOQy1DWqkJt3FWPa1t+ffxVJkZaV0E2xnTnW\nuTIlstKGAzC8DHw79xsAhpkB86ZFwsdrEKprm6Bu1UIqESEzLRQ3apvNUhFU1TShsKwWTz6agPHx\nQfj06xu4rVIjPtxfeOGTlR6KsGAvbD9cipQYBS5eq8ep4mqMCvbqsD3z3peIXI2yQYXzV5XQAbhc\n2YCsdMOLjnGjg5CbfwUJkf5IjVWgSdWK8aM5aOdBx8BeD4X4eyI3737Sdv8hg3GlulF40zhIJkHU\nCB+0anT4vLAKydEKiEVAiL+HMF3xkSkRkEhE0OuBXUfuV9/88EQFNjw3BeEh3h0mLrcWtLPWsdnZ\nCYAQ1DN9CMpKD0VTixrnypSYnByC/LOVZtVvp6SGIq5BhbFxhqISr207i7tqrVmw+vE5o/H+Z5ct\nvm9aWqhQ2dZLLkNrqw5v7Lk/WiQ8xBtTkkPg7ekuBNqy0kNx4lw1Zk0YhcOnv0WrRodHpoQjoe0h\nTyQWYfuhS8LowE37izEmwh9anR4pEf5m1SCN631787awT60aHU4WV+ORqREY7C7F/vyrZsE509mY\noYFe+OKb7/C1SULwN/YU3MTEPAAAIABJREFUYfPaGZicZMglxdxNPVNR3YgPPi8XAmwHj5djbFyg\nXUEHiQjIL6gSAgDHCqswOTHYru/1HCzBwxnh2HvU0G4Xz4iG52D7hvvp9IZKuMbQdF1jC6ykl7Lq\nZn2zxeioaan2Fc9wtWllLLrROzoK6NoKaJkW3zpw7CpmtxXVsLa+renwtqrcNqnUOPr1dTyzKAkA\nsOeTMoyLD4ROB4tiG2PjFBgql2F+ZiT2fGroa0tmRmNo2/57yGWoaAschocMFX5f+2nyRtb2n+3M\nsQJ85HhmYRKUt1oweLAb/nmsXDgWu44YAnDXvruNC+V1ZiOzEyL8hRF5c6eEo1p5B6kxChRcrsW5\nMiWWzIzGzrapvKbnusqaJowI8sLN+jv4yaQw7M+/atfIPSIiV/HFN9X4rk6FHYcuCTONTpyrxpxJ\nYfjg83KzAkTPLEpikQxiYK8n6hpVOHi8QggufHiyAs8uSjF7q553thIt91qxaHoUPjheDrEISI1V\noLlFK3xOKhXj0BfX8FJOuvB23cjekRi8eSVrrAUBAJgVVAEMoz/mTomAVqtHvkn7Na1+a2xjxqlW\nSVEBULW0YtmsWFy69gN2HSnFkpnR2Hv0sjDV1/iZ8+X1Zg9im9fOEPYPuB/8e2hyGLzkMpTdaEBD\n0z0c+uJbZCSH4GRxNSKGe+P6zSbo9cC16lsW+Zo6KnoQGuhlMb1nUlIIDh6vEEbpFZbVIjMtFBKx\nCLfu3BNGFHx86hoWTo/C1xfNK+Q2qdRWg+qccth1IhgqDVfWNAEAJiYMszvHng4wG006b1okulKK\nQiwWCedicReG3MncpBaVfGdPHGXXZ/V6WIxe6mDwqoWujrgi12croGsroGWLaZEMwPBSJCHCz+Z0\n+LpGlc0ptFNSh+OtvcUA7lfF9feWWwTk/L0NU333fHpZ2M7eo5cxPj4IdY0qs4rrRWW1SIsJgL+3\n3GKqu7EIh7X9Byz7FPWv+HA/bP7gPEICPC3+LSVage2HLgrpagDDeXuQTIpgXzkSo/yx9f8uYlTw\nUIhFhnPkXbUWe49exrqnJsLf+/49yGdfXUdd013cuNkEiURkFsBmQJeIBoL8szdQWduMytompMQo\nUFJRj8zU4Vg4PQp371mmbwkfNtTKVuhBw8BeD6g1WovgwrWbtyzWu6fW4dO2vDTbPr6EgtJaZKWH\n4txlJVo1OhSV1eKFZWlobLpnkVekpKIe09LkLjdKg5yHafCppKIeK9cdtZpjrrq2CTEjfYSRGW5S\nMVKiA1DXqDIb4ecmFWNhVhTea5s26THYTWjLOw+Xmk31BayP2Nm8dobNHEhNKjX+sqPA7EHSOHJV\n3arDpv3FWDTd8BbfdJ0n5yei+LLSLL8lYAj0fHiiAq0aHWaOG4Gfzx2DwrJasym0I4OGYHhb8O+b\nK0r8fyt/JOTAbNXokJt3xSx3ZWZaKF566ySeWpBkNjqAU8G6x1Mug1anF9peVnqokE+rM25SEVQt\nrUK+OlVLK9yk9gXoWu5p8Z7JKOmislrEjuj7SuvB/p4W0ySD/S0fhm1xpXbGa1fvsfYiwVZOu/AQ\nb+TMicOOQ4aUBMaquMoGldUiFgE+ciyafv+8/ljbdHhr23eXSaGD5YjAyUnDEOAjx+Nz4rC97Xtz\nTKrxWuMus7wNNS7zGTJICOD5DBkk/Hv7Ih/G/TdNwZAzJ47tzAGGyGX45MvrbelmDPl0502LRG7+\nZeTMjsM35XVIi1VAqzPkiHp4cgTe2HsOgOE8aLxWZ6WHwk1qKG70ft7VtuJUhvZ7vbYJB49XAADm\nZoRbFAUjAoDn1v4RLbpBna7XWHcTgPNeQ+nBsz//KrZ9fBHA/RlMU1OHQ6PT470jZXCTirF4ehTe\nbzvH5swezZe8BICBvR7R6Syrv40bHWQ2PTEzLRS3VWpkpoVim8n0wPyCSiRHK4S32iEBHnjh9eNI\nHx0o5CA7VliF/IJKIUE28+RRdxkf6F7fXWQ1x5xxKsyU5BA8NT8Bf/+wxCwx9eNzRuO9T0qFqa7v\nfVJmsy23D+rZeqBrr6PCFu1zQ7WvsgcAX5fcxKwJoyCTSvDhScNUsLDgIfjwRAXutt30Hz1zA+NG\nB2GopzukEhFSogMRM9IHfl6D8FauYeTJ6sUp8PeWmxXzaNXokBobiA3P+WDH4VIh4Gc6OoBTwbqv\nJwUhNBo9Dn953Wzk3ISEILu+V2Sl2oW1Zda0ajQWhTdaNfYXwbA1TbIzrtjOeO3qPe3/fl2tigtY\nr1p7rboRyoYWIZCmbGjBtepGhId4WwTqwkO8rRbnMHxOhe/r7gjb+b7uDpQNKqhbNRb7qW7VwG+o\nHAuyIi1yATap1BYj+SYmBMNLLsPxomph+yfOVWPpzBgoG1RmKRh2HLqEKcn2TW+n3vPZmUqkxCjw\nz8/LzaZjJ0cFwMfLHdGhPth1xHD9/ulPRuPdjy6anQeN9xL5bRVzQwI88dGpa0JxqiaVGgePV9xP\nWXOyAkuzY4T8rHxxQEbKZjGaZKM6Xa9JK4HI/oL2RH2qoroR2z6+aPGM1XD7Lgranku0ai3+ebwc\n86ZGYmSQF6amMTBNBgzs9YAellM/tDpDLr2xcYFIig7A1v+7iFaNDtGhlpF0sQhCbi5j4EKr1aOo\nrNbsIdUUb1ioNxhzzBlH1wH3R2goG1QI9vfAf275Wnh42v1pKRIi/XHmYo1Z/jkjsQgY7C4RpvoC\nhgeu/IJKlFc14ukFifiq5CbOl9dh1fwks3ZsDP4ZgxWmQUc3qdhsm0btS7w/PDlcuPn/13kJwlQw\nsQhmibkBQK3R4dw332HWhFE4eLwCBaW1eGp+gsX0YFujjEwDftR7ujuNztqhsPfwyNzEFsEGmZt9\nd/g6nSFQ/C8PxQMADhy7gvQ4y6A0GfDa1TdsVcVVNqhs5qiz5q5aYzG1PCvdUAhhfmYUIocbpvkk\nRhnauJdchsUzo9Haanhp4uYmEQJyp775DjPHjwRgqKI7e+IoyNykFlN9H5psKMRx964GP3vY0I9q\n6u4I22/PSy5Ds0ptMeKwWaW2e4Qv9Y/2bS8hMgB/2VkoFLe6/v1tSMSW51qJRITx8YEYETgEMaO8\ncbXyFlJjAvDNVcM1wVq7GB7gaXH9JiJyNcoGFWrq7yA1ViHMhLKlVaPD5ORhHKlHZhjY64FB7rBI\nBv1DYwv0ej085TJcqKjDmmVpCPAZjKqaJrMHyNWLUyxGMDy7JAWb9hebrZczezRvVKjXmLatyUkh\nZqPrgPuj5hZkRVo8PI0KHoIL5XXw8RpktS0XltZgw84CAMCK2bFCv3g4Ixwb26rjPTU/QUh0Dhim\nBr++23yUnjHo+F/PTcHlGw3CNo2Vb/9nX7GQdy81RoHYUb64WtWApKgAlFTUoai0FinRASgsq0VG\ncggmmVSNXjE7Dns+LUNyVIDZW/9NB85j81rzalK2RhmtWZ6GN/cWWeQR5JTD7pMAmDctAnuPGqYV\nLJ4RBftKWADDFV4W1TmHK7zs/27x/Yq6ki7k2DPkABuBf3xYAsBwLfD3tv94t58ubi+2M2rPmKMU\nQKfnI2WDyiKYDcBq2zUuy82/YjbFdUFmFABAq9XhQFtl5wVZhjYsBjBrwiizEXhiAKNCvLEgM8qi\niq6yQYW7rVpsOWjoR6ZTa63tf0eje9kvHCvAR441y9Nw4lyVWVqZx7JjhBEoWrUWuXlXMGvCKGz7\n+KJZW1wyMxp1jXdx9OsbOHvJkLJGIhah+Eqd8OIRMH/ptmpeAiYlhTjmBxMR9ZJPv/wWl643mD13\nnSyuxuSkkLbiQhGIC/PDzsOGa/GqeQkM6pEFBvZ6oKUFFsmgf/P4WPzQdM/wsBilwPgxhuqM4SHe\niAu7XxzA2g2ncZrh3rzLWJodg7LrDXjvk1J4DJLgxxPC+vW30cDUpFJj7pQIVCubheToRqZT/Kpq\nmvFVyU2zh6cJCcGYPdFQiUksFgkVno3Br7f3nxfW33m4VBiZYTrlcNOB85APlgnBuqz0UIjFIoup\nwavmJ8FTLjPb5pt7i5ASo8BdtRbHCquQEh2AFbNiUVCmxFcXDCMD5mdG4siX3+I/n5yIVfMThX5m\nGqCbkhyCixX1Voth2Mr7B5jnNXtqfgKiR/hYjBLhlMPuaWi+h71H70+7e/+zKxg9yhcj7fhsk0qN\ngyfuV9T98GQ5xsUH2vX3F4uAAN/B8JS7AQAGD5LC3thek0ptM8eYPZ9tXznU3s8CbGdkydY9hbV2\n8uWF74X+cvTr60LQ5KcPjcaFtpFRY9pG/lVUN1pMcU2JDgAA5Obdb//7869iUuIw3FNrLPrF2DgF\nKqobkZt/5f514dgVjIsPBACLCtE/mRTWrfQj7BeOZXqN/MXcMVj56FCcvVSLK1WNZiNPkqMDUFXb\njDER/jj1zXdIjVEgNUYBnyHu2P3JZbP7jtQYBcZE+GP7oUvIaJtazeNMRAPJqeJqnC65aTYjKL+g\nEvOmRuJGbRPiw/1x8Hg5FmZFYmxcIDJShiMjmS80yJLDAnt/+tOfUFhYCK1Wi3/9139FQkICXnzx\nRej1egQEBOBPf/oT3NzccPDgQWzbtg0SiQSLFi3CwoULodFo8Jvf/AbfffcdJBIJ1q9fj+HDhzvq\np5iRSsRYPivWavDOtLKoLV5yGdRqnVlCd9PKpETddb68Hmcu1gCoQVZ6KJ5ekGSzTamtDP9uuafF\njZuGqqXGaTZSiQil1xsQO9LH7v3IL6i0yB1RfEWJZpVaqH4HWE8Kb9Sq0eF8eR3uqjXYceiS2UPk\nC8vSLN5itf+db+0rtsiF+dJbJ/GLufFmQXTjyEIAZnnNNh04j5QYBQpLay2KF7CfdoO1YJqdAbY7\nLWr8aEwwPvjcMHIoKz0UdzqokGxKpwcab93DzbbjHOQrt3sab094yWUWU9XsrYBO1BXW7kMWZEVZ\nFJlQNqhQVdOEgrYCNt5e7mbnv/buqS3zSVpb1lPG64Dxd4gAixGH9o+zpb7SPvdn0eVaIR+Um1Rs\nll4jfJg3dn9qGLmZmR6KU8XVSI4OQJCfh93fx+ssEQ0EygYVyqtuWZ0xUlnbhK8u3ARguE9MjwtC\nZtoInv/IJoekC/3qq69QXl6O3bt343//93+xbt06vPHGG1ixYgV27NiBESNGIDc3Fy0tLdi4cSO2\nbt2Kbdu2YevWrbh9+zY++ugjDB06FLt27cKqVauwYcMGR/wMSKSGG0ypRASpRITMtFBIpIbRee1z\niHV0g2wqwEcuTI0h6i2mN91anV4oymLKOJVJKhGhpKIOOXPihLa9YnYcSirqUFJRh8fnjBaWT0sL\nFabEmK6/dGaMsP6K2bHC8lXzEnD+qnn+NDeJCNNSh+PrizVYu/ELHD9Xjaf/lIeX3jppts3Vi1Mw\nJTkEUokIg90lWDIzBu/nXbX4rSEB5g8Hpv3PtJjH54VVmDslAikxChwrrMJdtRabDpzHqeJqKBtU\n+PTLb/H2/m/w9v5vUHajweJ7QgO9IBaL8ObeIrv7N1nn7eGO+ZmRwrGeNy0S3h7udn/eODXP2Lbt\n5e4mxd1WLQpLa1FYWou7ai3c3ex73xUe4o3ls2IxbnQgxo0OxLIfx3ZpWkT7a0dX5J2txMp1R7Fy\n3VFh2gYNLF25b+jqdo0j8LQ6PXYcuiScF40j57Q6PfLOVgrVdR/LjjE7t4eHeMPfW27RZ/295Rgs\nk1osHyyTIjzEG4umR0MkAkQiYGFWNMJDvIVAnWlfMD7e5OZfwQuvH8cLrx9Hbr5hmr6nXCbk6kuO\nVuBkcbUwcpr9wnlIJCKkxiqQHmcYlXmyuBqPTI3A7Ilh2P1pmdDOjhVUYtmPY3Gz7g4uX2/A9LH3\n28LDGeEI8B6Mkoo6ZKWHoqSi3sG/ioiod52/okSowgsTxgRZXAtTohRmz0Dt4wtE7TlkxN64ceOQ\nlJQEABgyZAhUKhXOnDmD3//+9wCAzMxMbNmyBaNGjUJiYiI8PAwP6qmpqSgoKMDp06fx6KOPAgAm\nTpyI3/72t474GdDrYZEMOiNlmNk6plMT2o/ssSUjOQSqFjU2HTgPgLliqP+0n+JirKJo+t8AcKGi\nDnq9ITim1+vRpFKbVWA8eKIcrz0zWRi5OjVluLAdNzepWR6ksGAvPP/6cbOpXmmxCnxVUoM9n5YJ\nBT6MfWBEkBfuqTV4dfOX0Or0VkfePbUgCVnpoUL/MybsNh2lsufTMlTVNFkUw6hSNuNYURW8BstQ\n2DZ6xcfLHc8sSMTG/YZcgTPGjsB3ymYsmRmNg8fL++BIPFg85DKoWlrx6FTD9EBVSys87BzB5jHY\ncj1ry6yxlq9rWqp90xuUDSrcU2uFEU5hw4ZC2aCy+1xtbTqkvd/ralVxqWu6c99gizE4aM9sAWvL\nlA0q7Mu7P4U2N/8KstJDEeAjx6ggL6HPjgryEr5DKhULy6VSMTzkMlyrbsTN+jvCOdXb0x3Xqhvh\nKZdZ7Qu2pgCHh3jjqQVJVnMHsl84ToCPHCsfHYN3PrgAN6kYwxVeQp7FrPRQBPt7oPYHFX64fdfi\ns6XXGxARMhSbDpyHu0wipKI59MW3mDctAktmxmDv0cvIO2t4IcljSgONXqfDtWvX7F4/IiICEom9\nmYjJWX1b3Yjq+jvIzbuK1FgFzl+tM4spRIQOxSs/G48RJtdXoo44JLAnEokwaNAgAMC+ffswbdo0\nnDx5Em5uhjxHfn5+qK2tRX19PXx9fYXP+fr6QqlUoq6uTlguEokgFouh0Wgglfbvz9HrgCkp5gUG\n9CYzGHtyo/njCWFIjTW86WRnpt5gLWF6Z4wPTO0DFpNNClIYqzpbm1pomsjddD9Mg4fKBpVFRdSo\nET4oLDNUhDLdjukDb1Z6KI4VVuHzwio8OjUC12824VhhFVo1Ory5twijgr2E/pcS4W/xkLjhuSkQ\nAUiLVeB/P7gAwFBdd99nVzBn0v1cgklRAWhsuofIUG9seG4K3msbbXDmYg3OXKzB43NY4KanAnzk\niB3lixPnqgFAyKVkj9t37pklas9KD8XtO/fs+qxIBMgHSc0qeIrsnNdX12gIeBjbVG7+FaTFBti1\n37amQxL1ZoDKWoDQVpGJa9WNFtcIY7VZW9V1p6SGYnh1IwAIo1WbVGp8dKJC6FP/d7ICP4oPwj21\nxiKIPnNcKDzlMsyZFIaK6lsAgNkTO88nLBZBqNjehXo31MfGjQ7CnZZWtNwzz7N4srgaObNHo7H5\nHtzdJVg8Iwrvf2YYgZmZFgo3qRh6vWHK7qwJo8xS0bz/2RWkxigwOswP5y7XOuy3EfWlliYlXt1c\nB/nQzl8Uq27VYvv6ZYiOju6HPaO+dOvOPeTmXYVYLIJYLMLsiaPw4YkKAMAjUyKw9aOLeO2Zybw/\nJLs5tHjG0aNHkZubi7///e/Izs4Wluv11pMc2Vqu09kuB92XRGJALBKZ3GCKIOrFyc3syNSb2o8u\ntTZCyPRB8FdLU6DTw+rIEWvJq7tSkdD03wJ85FgyMxo7DpUCMBTAOHi8HCnRAZiUdD/A0/6B15hY\nu7CsFqOChuDAsXKzkXdGblIxRgR5oajM/KHAGDAMC/GGz5BBuHyjATd/uINWjQ7VtU1wk4oxOTkE\n+W0Bo3GjA5EaGwitVm/2gLr90EUkR/uzOlUPWavsaQ+JWGRxHra3uu2QwTI8nBFuVtl8iJ2j/XrC\ndDokYAg0T7EzmMnqn2RN+5F5HQUIrQXG9LC8RnRWbdZa4FAEYELC/ZyX08caltmqutusUuOHW3fN\nRvI1t00BzpkThx2HDMHvFbPjhCq6r+82yeVWViuM4mK/cKwAHzkUPnIhFy9guP5OTgrB3w8aXp4t\nmh6Fj05eQ0qMAomR/tiXdwUxI3xw4lw1Hs4Ix7ff37a6bbGIx5QGNvlQBTx9WBDhQaBsUKFZpYay\n8a7Zs4abVIxfPDIG0AOXrtcLqS+I7OWwwN6JEyewefNm/P3vf4enpyc8PDygVqshk8lQU1ODwMBA\nKBQKKJVK4TM1NTVISUmBQqFAXV0dYmJioNEYkjX392g9wDAV99Ovbwg3mFKJCBMSg4V/N73RdJOK\nsXpxSr/vIxFgaIvWpi+Zav8geOJctZD8GrAcOdL+88ZgX5NK3aVCAMoGFXYcKjUrgJEao8DyWZ3n\nLFs+KxbT0kLxdm6x2WgTYy6KXy1NwTdX6/DxqWsW/27t4fSp+QkYPzoYG3OLsWh6FHa1K2Kz4Tkf\nZKaFCg+hRjsOl2JyUkiPpsxR915mBPl5WpyHF8+w7022Sq2xqGyeHOVv12eNucQOHDNMNzPmEusP\nrAo5cHUWoLI2tbYrU3eVDSr8z75ijGkbIb0xtxjx4X4ID/HGslmxQlXcx0xyRlprb7YCh55ymUWV\n26UzDVV3H8uOEYomGJdZmw7/0GTDqL0FmVFCBV57Hm7YLxxPLALEYhGWz47FrsOlSIkOMDu+xmnd\nZy7WoKisFkuzY1Be1YjYUb7Yn28YudI+vUbcSB8kxyh4TInI5Rmv12NHB+LcZSUWTo8SRilr1Vq8\n88EFpMYo8MiUcCRGKRy9u+RiHBLYa25uxp///Ge8++678PLyAgBMmDABR44cwcMPP4wjR44gIyMD\niYmJeOWVV9Dc3AyRSISioiK8/PLLaGpqwuHDhzFp0iTk5eVh/PjxjvgZsDaA0LjMePNtvNEsLK3B\nhp0FAHqeM4eoO7rz0NN+imxnzpfXmz1gWvs+Y6J2Y/DPWMzCTSpGUlQAxCJDpTxrD3Jzp4QLw9SN\nSdY37CwwJOEurLIICMaH+wmjO6z9e0V1I04WV0MsFqFVo8OmA+exee0M/M+LWWhSqbHrSJnZ9+84\nXIppKSF4an6CkANz+tgRaGy6i1PF1czp5AB1jZZTuesa7ct112ql+rO1ZdboABw+/a2QG+zIl99i\nctKwDj9j1Buji9jOBi5b52prAbyORuZZa2PKBhWmpQ5HfVuuM2P+UwAY6uEu5IyclGQ+csRae2s/\njR0w9Mf26hoN5/wPjpcL/eXgiXKMHR1oM7eftf827gdH5jknZYMKxVfr8NmZ+yNPQhUeQpsy5SYV\nY3x8EPyHDkKIfwiaVRoUltaiVaPD523X6oVZhoIsPL5ENBAoG1QoKL2J1YuTMNhdColEhHv3tFbX\nDfb37Oe9o4HAIYG9jz/+GI2NjfjVr34FvV4PkUiEP/7xj3j55ZexZ88eDBs2DPPmzYNEIsGaNWvw\nxBNPQCwWY/Xq1fD09MScOXNw6tQpLFu2DO7u7njttdcc8TMwaBDw2I9jcPm6oWJm9EgfDBpkefOd\nEOGHt/efZ1JncrjOpseaPjBNTQnB6HA/IQ/YitmxVj9nWrmx/QNmSowChaW1wkOoaTGLhzPCsT//\nKtykYvz0odGovNkk5Elr/1AJAIWlNTj0xbdIiVEgLswXFVW3cFetgZtUDK3a+oXRmntqwyhf036a\nmR5qVgjEWHnK9O8xLc2wTlFZLTavnYENz/ngvU/LAL0eZy/VCvv44wmd54ii3tOq1WLetAjsPWrI\n2bR4RhRatfa1h6FymcU5fKido0295DKLKYddGakqFQOPGAsMOKQ+PTmzzkZUG+8jOuImAX72cLzw\n30Y6vV4YdTx9bGiH2zcdoWe6XwE+cszNiLAYgdesUlvk6hvUNpL1R2Pu9xfjtN0AHzkenxOH7W1T\nbnNm3883aWskYlcCn9R/zCorq7XYdaQUOXPi8PO5Y7D90EW0anRYND0Kn3x1HVnpoTj69Q2cPv89\nstJD4Td0EJbNisF7R8qg1+sxKSkEcWH2jZ4mInIFxVeViB3ph037z6NVo0NWeigOf/mt2eyPzLRQ\nJEb6M0ZA3eKQwN7ixYuxePFii+VbtmyxWJadnW2Wfw8AxGIx1q9f32f7Z697d4H6xhYYB+7VN7bg\n3l1vi5vjDc9NcdxOEnWB6QMTAPzXuqNCW955uBQXr/1gNuXU9EFqzfI0i+3p9YBWpzcrZiEWizBn\nUpiQXFur1uJSRT2+vljT4UOlMTh+7rIS3p7uOH3+e5w+/z1y5sRhf/4VjI8PRt7ZShS0BRKNv2PN\n8jScKKrCUE93fPr1DRSU1uLpBYnYmPuN8H3H2vL1DfV0FypBGv8eo4K98N4nZWhSqZEUFSCMXAwP\n8ca40UH4n/eLzabrpsYG8oLcj7Ra4MCxciFn2D8/L0fcKN9OPmVwu0WN2h9UwogSby933G5R2/3d\n1qYc2kPZoMK5K3VmBT/iwviyh7quo5F5175vEiqTzs+MROwolVnwBTC0259MCuswKG0tYHbpWh1y\n868I/W7/sStIivJDXJg/gv09kNq2PNjfA2FtufHaT7l9LDsGygYV3jOpqL770zJktFVg70oREVbF\ndS5uUjGmjx2Bv39QgoRIfyz7cSwuXf8B//y8HM8vTcUft5+1yJc7Nj4I/5aTjsjh3jxuRDSgfPD5\nVfzjo4twk4qxcHoUrtxowMniasSH++OjkxX41dIU+Hi5I9jfk+c/6jaOE+ghjdbw5ruwtBYarR56\nWE7j8pLL8OySFEglIkglIk4dIacW4GN76oteb3hgMlbKNT5IGYN3T81PENp5Zlooiq8ozT7vJhVj\naupwVNY0mS23VvTClqSo+zl7tDo9dhy6hFd+Ns5s2Zt7i7D5g/N475MybNhZIAQNxWIRtDo9viq5\nabHdEUFeSIz0R0lFPVauO4qV644i72wlwkO8ETvKF8WXlRCJgF/MHSM8OH+vvGOxHePUYuofErGh\nim5RWS2KymoxOSkEEjuvbGqN/v4IE52hKIpaY19btDXl0B6mecW0Oj3yCyrZbqhDxgCetfuIrPRQ\nbF47A5vXzhBeutQ1qu6/PNHpceDY1Q7bp63tWzvPKxtU0Gh1Fv1Oo9VB2aBC4+27SIoOQFJ0ABpv\n3xXSL7TXpFKjSaUWqu6evVSDVo2u076Qd7bS7BxNzsFLLkNWeigGu0vwyJRwHPriW0xODkFhaS3e\n/egiAtsKqNTdumvhXkeeAAAgAElEQVT180PkbpiQMIz3x0Q0oHzy1bf4x0cXIRaLMDk5BO8dKcPZ\nS233qxJDKqAvL9xkUI96jIG9nhDB4uHsTosWzyxItLg5tnbjTeTM2j/oTbMSqDPVqtEhNTZQaOeJ\nkf7Q6/VCPwgP8cazS1KQf7YS5y4rkZkeKmw7Izmkw+C36b5YK3jqbqVowTB/T4v+mRRlSMReev0H\nLJ8VK3zf8lmxmDMxzCwnn/EhtqK6Ebs/KRMeUDbmfoMjp68BACqVTcgy+R2ZaV2bjkk9JxaLLI6z\n2M6quKbTEztaZs0gmdTi2A+ys3hGZ3nFiKzp6D6i/QsZa+dEd5lUCL5YO2d15T7FY7DMot95DJah\nWaVGi1qLLQdLsOVgCVrUWjSr1BC1bd/0e0WAzeVdDTR2FPik/iOTijFrwihcv9mEhEh/5Ju0kQ9P\nVmDFrDiUfFuHGeNGmB3zuDBfTExkRVAiGliuVTeisekeAMPAhPz296sAlmXHYnx8EK9Z1GMOq4o7\nEFjLi/Tt97cxOWkYNq+dAQAWwQkiV2Kcmlt6vQFv7i2CXq/Hc0vuV3d+4bEUfF5UDcAwasq0jU9L\nkyM+/P60XmWDCrEjfQDALEG2aTGLjop7mE4TPl9ebzb1zBg0NC7LTAtFdW2TxTbEIkPV1J/OGY3/\n/eCCMP1r79HLZknk2zN9QAHQVmQjEJMShqGkol6Ydsa8GD1jreJnZ+SDLANi1pZZo9MbcoyZTom1\nd/BoWIg3QoO8hGMfGuSFMDsqdwIsAEDdZ287CQ/xRs6cOOw4ZMyRGiecZxMj/XGr+Z7w313JvWps\nq7ZG1ekBq1VuveQySMQiob9IxCJ4tgUUZVIxHm3LN9lyVyMs72rBJ1bFdbz623dx5mINxGIRlsyM\ntqggf+vOPQT7eqBZ1YofjQnG6DBfDPWUYUoKX3gT0cBiHK3+/mdXkJkeittt111TExKHYUw400ZQ\n72BgrweC/b0sHgqrapvgJZexg9KAYAy0ZCSHCEG58+WGqapuUjGWZsfYrKIIGB6uTPMz/WppilBR\n1pgg27T6bWf95v7UM7nFA5zpQ11JRT025habJXFfvTgFYcFeWD4rFl5ymTD9CzAE+4zbav8QGx7i\njcy0UIsHFMBQUCM+3E+o8st+333dTXwfHuKNx7JjzJL4W6uobM0QD3ccL6oWArwnzlXjJ5PsL34y\nb2okkiL9hf3oCrEIQn4yOwcYEnXJgswopEQbRim3b5/W4tcdFasYFexlth3jyD/TIhm2Rp0az43x\n4X44cc7wIije5EFG4SvHtrYiTY/PietWoNH038kxAnzkmJY6HGcuGqZU78+/albJfm6G4b9Xzh2D\n5IkK1DWq4C6TdvncSUTk7IzX09RYxf3BDLEKs3Piv/xkNDLT+FKDeg8Dez3ww20VfIYMEt5A+wwZ\nhMgQJv2lgcHaQ57pNKiUCH9s//hSh8nK2yc0f2NPEdJHByIlRoHMtFAhSXp3WOtnxmWmowUfy46x\nur6th0Nroz4ykkOgalFj04HzFut3lJOQ7NOTxPfKBhX25V0RgnO5+VeQlR5q12fDQ7yxMCuqW0FB\n0210lbJBJUz5BoCislqzQAdRb2nfPm21PcB2sQpr14IAH7nNkX+2zq3GFyHA/XOrskGFbSbXke2H\nLgmjv7taFZccL3qEj1DhUd2qhcxNgh+NCcaoYUOQHOWHhyaHm107iYgGGtN72nOXlZgxbgQ+O3MD\nBZdq4DN2BFY+OgYRwUMQw8rf1MsY2OsB1V0tPvi8HGMiDB3z4PFy/PZfxjp4r4h6zlagpTdoNHqc\nvVSDorJaxI706bOb+86229HDobXP/nhCGFJjA+3aNvUva6Mv7dGToGBP2CokwHZFzqajoLu1QB3Q\n9XNrV7+3K9uh/tWkUuPDExXCOfXg8XLMnhiG3LwrGBvHivFEPaXX6XDt2jW71o2IiIBEYmfiYOoT\nrRodbt+5h5QYBfR64LOzldCf0WPdUxMdvWs0ADGw1wNDPd0tHiiHeLg7eK+I+o7pNKiSijqzHE7W\n8oS1nzaVmRaKY4VV/b7ftnT1IYMPJX2jJznnepqvrrtBwZ7oyjRGot7UUX+xttyYjqGj7XVlub37\n09n3knOyluaiqqYJi2dEc8otUS9oaVLi1c11kA8t73A91a1abF+/DNHR0f20Z2TU/roWMdwb7x0p\nE15USSUiqwWuiHqKraoHwkO88ficOGxvC2zkmCSnJnJlHT38tR+NMaVtOq2tB7n2ue/yCypZtZAs\n9GR6XXc/66giFh1NYyTqa7b6i7Xl/dFHHPW91PvaH7dF06MQHjIUPxozzMF7RjRwyIcq4OnDKtLO\nzPS6BgAyqQTbPr4IgPEC6jsM7PXQ/MwoJNtITk3kyuydTmXPw5a13Hd8SKP2etImuvtZR+XrsjWN\nkag/dGWkXX/0EUd9L/U+43FjUSkiepCZnvvmTYtEUlT3iq0R2ctlA3vr169HcXExRCIRfvvb3yIh\nIcFh+8IOSgNVX9yQ8yafnI2j2iT7ArkK9hHqChaVIiIyx3gB9TWXDOydOXMG169fx+7du1FeXo6X\nX34Zu3fvdvRuERERERERERER9Ruxo3egO06fPo0ZM2YAMFT8uX37Nu7cuePgvSIiIiIiIiIiIuo/\nLhnYq6urg6+vr/D/Pj4+qKurc+AeERERERERERER9S+XDOy1p9frHb0LRERERERERERE/colA3sK\nhcJshF5tbS0CAgIcuEdERERERERERET9yyUDe5MmTcKRI0cAACUlJQgMDIRczupbRERERERERET0\n4HDJqrgpKSmIj4/H0qVLIZFI8Oqrrzp6l4iIiIiIiIiIiPqVSwb2AOCFF15w9C4QERERERERERE5\njEtOxSUiIiIiIiIiInrQMbBHRERERERERETkglx2Ki4RERERERER3afX6XDt2jW714+IiIBEIunD\nPSKivsbAHhEREREREdEA0NKkxKub6yAfWt7puqpbtdi+fhmio6P7Yc+IqK8wsEdEREREREQ0QMiH\nKuDpE9LpehzdRzQwMLBHRERERERE9IDh6D6igYGBPSIiIiIiIqIHkL2j+4jIebEqLhERERERERER\nkQvq9xF7Wq0WL7/8Mm7cuAGdTod/+7d/Q2pqKkpLS/G73/0OYrEYMTEx+I//+A8AwDvvvIMjR45A\nLBbj6aefxtSpU9Hc3Iw1a9agqakJHh4e2LBhA4YMGdLfP4WIiIiIiIiIiMhh+j2w98EHH0Aul2PX\nrl24evUq1q5di/fffx/r1q3Dv//7vyM+Ph5r1qzBiRMnEBYWhkOHDmHv3r24desWli9fjilTpuDd\nd9/F+PHj8cQTT2Dv3r3YvHkzfv3rX/f3TyEiIiIiIiIa8Fhog8h59Xtg75FHHsFDDz0EAPD19cWt\nW7fQ2tqKqqoqxMfHAwCysrLwxRdfoLa2FlOmTIFEIoGvry9CQkJw5coVfPnll1i/fj0AIDMzE08+\n+WR//wwiIiIiIiKiB0JXCm3cabyJ/3xyEsLCwuzaNoOARD3T74E9iUQidNqtW7fi4YcfRkNDA7y9\nvYV1fH19UVtbCx8fH/j6+grL/fz8oFQqUVdXBx8fH2FZXV1dh9+p1WoBADdv3uztn0MPuKCgIEil\nfdON2G6pr7DdkitiuyVX1Vdtl+2W+pIrn3PV6lZAZt+6qlu1dq3X0vQDAJFLrNuX3z/Yy8+ude82\nN+DFv3yAQZ6+dqz7A97696UIDw+3a9sdceV2Sw+u3mi3fRrYe//997Fv3z6IRCLo9XqIRCKsXr0a\nkyZNws6dO3Hx4kVs2rQJ9fX1dm1Pp9NZLNPr9Z1+TqlUAgCWL1/etR9A1InPPvsMw4cP75Nts91S\nX2G7JVfEdkuuqq/aLtst9aUH6ZzbaOd691xoXUd/v+n69li58rMubNW2B6nd0sDRG+22TwN7ixYt\nwqJFiyyWv//++zh27Bg2btwoTLNtaGgQ/r2mpgaBgYFQKBSoqKiwuryurg6enp6oqamBQqHocD/G\njBmDnTt3IiAggEN8qVcFBQX12bbZbqmvsN2SK2K7JVfVV22X7Zb6Es+55IrYbskV9Ua7FentGfLW\niyorK/H8889j586dcHd3F5b//Oc/xzPPPIPU1FQ8/fTTyMnJwahRo7Bq1Srk5uaivr4eP/3pT3H4\n8GH87W9/g06nw1NPPYV3330Xt27dwnPPPdefP4OIiIiIiIiIiMih+j2w99///d/4+OOPERwcLEzP\n3bJlC65fv45XX30Ver0eSUlJeOmllwAAO3fuxMGDByESifD8889j/PjxUKlUePHFF9HY2IghQ4bg\nz3/+Mzw9PfvzZxARERERERERETlUvwf2iIiIiIiIiIiIqOfEjt4BIiIiIiIiIiIi6joG9oiIiIiI\niIiIiFwQA3tEREREREREREQuiIE9IiIiIiIiIiIiF8TAHhERERERERERkQtiYI+IiIiIiIiIiMgF\nMbBHRERERERERETkghjYIyIiIiIiIiIickEM7BEREREREREREbkgBvaIiIiIiIiIiIhcEAN7RERE\nRERERERELshhgb3Lly9j5syZ2LlzJwDg+++/x89+9jPk5OTgiSeeQH19PQDg4MGDWLhwIZYsWYJ9\n+/YBADQaDX79619j2bJlyMnJQVVVlaN+BhERERERERERkUM4JLDX0tKCP/zhD5gwYYKw7I033sDS\npUuxfft2TJ8+Hf/4xz/Q0tKCjRs3YuvWrdi2bRu2bt2K27dv46OPPsLQoUOxa9curFq1Chs2bHDE\nzyAiIiIiIiIiInIYhwT23N3d8c4770ChUAjLfve73yE7OxsA4Ovri8bGRhQXFyMxMREeHh5wd3dH\namoqCgoKcPr0acyYMQMAMHHiRBQWFjriZxARERERERERETmMQwJ7YrEYMpnMbNmgQYMgEomg0+mw\na9cuPPTQQ6irq4Ovr6+wjq+vL5RKpdlykUgEsVgMjUZj8/s0Gg2qqqo6XIfI2bDdkitiuyVXxHZL\nrojtllwV2y65IrZbcmZOVTxDp9PhxRdfxIQJE/CjH/3I4t/1er3Nz3Xk5s2bmD59Om7evNkr+0nU\nH9huyRWx3ZIrYrslV8R2S66KbZdcEdstOTOnCuytXbsWYWFhePrppwEACoUCSqVS+PeamhoEBgZC\noVCgrq4OAISIuVQq7f8dJiIiIiIiIiIichCnCewdPHgQMpkMv/zlL4VlSUlJuHDhApqbm3Hnzh0U\nFRUhLS0NkyZNwuHDhwEAeXl5GD9+vKN2m4iIiIiIiIiIyCEcMsytpKQEr732Gr777jtIpVIcOXIE\nP/zwA2QyGXJyciASiRAZGYlXX30Va9aswRNPPAGxWIzVq1fD09MTc+bMwalTp7Bs2TK4u7vjtdde\nc8TPICIiIiIiIiIichiHBPbi4+Oxfft2u9bNzs4WquUaicVirF+/vi92jYiIiIiIiIiIyCU4zVRc\nIiIiIiIiIiIish8De0RERERERERERC6IgT0iIiIiIiIiIiIXxMAeERERERERERGRC2Jgj4iIiIiI\niIiIyAUxsEdEREREREREROSCGNgjIiIiIiIiIiJyQQzsERERERERERERuSAG9oiIiIiIiIiIiFwQ\nA3tEREREREREREQuiIE9IiIiIiIiIiIiF8TAHhERERERERERkQtiYI+IiIiIiIiIiMgFMbBHRERE\nRERERETkghjYIyIiIiIiIiIickEM7BEREREREREREbkghwX2Ll++jJkzZ2Lnzp0AgJs3byInJwcr\nVqzA888/j9bWVgDAwYMHsXDhQixZsgT79u0DAGg0Gvz617/GsmXLkJOTg6qqKkf9DCIiIiIiIiIi\nIodwSGCvpaUFf/jDHzBhwgRh2RtvvIGcnBzs2LEDI0aMQG5uLlpaWrBx40Zs3boV27Ztw9atW3H7\n9m189NFHGDp0KHbt2oVVq1Zhw4YNjvgZREREREREREREDuOQwJ67uzveeecdKBQKYdnXX3+NzMxM\nAEBmZia++OILFBcXIzExER4eHnB3d0dqaioKCgpw+vRpzJgxAwAwceJEFBYWOuJnEBERERERERER\nOYxDAntisRgymcxsWUtLC9zc3AAAfn5+qK2tRX19PXx9fYV1fH19oVQqUVdXJywXiUQQi8XQaDT9\n9wOIiIiIiIiIiIgczCmLZ+j1+i4t1+l0fbk75GKUDSooG1SO3g2iXsM27bx4bIj6DvsXUe9hfyJn\nxbZJ1HNSR++AkYeHB9RqNWQyGWpqahAYGAiFQgGlUimsU1NTg5SUFCgUCtTV1SEmJkYYqSeVOs1P\nIQfKO1uJv+4pAgA8uyQFWemhDt4jop5hm3ZePDZEfYf9i6j3sD+Rs2LbJOodTjNib8KECThy5AgA\n4MiRI8jIyEBiYiIuXLiA5uZm3LlzB0VFRUhLS8OkSZNw+PBhAEBeXh7Gjx/vyF0nJ6FsUOGve4qg\n1emh1enx5t4ivv0hl8Y27bx4bIj6DvsXUe9hfyJnxbZJ1HscMsytpKQEr732Gr777jtIpVIcOXIE\nf/nLX/Cb3/wGe/bswbBhwzBv3jxIJBKsWbMGTzzxBMRiMVavXg1PT0/MmTMHp06dwrJly+Du7o7X\nXnvNET+DiIiIiIiIiIjIYRwS2IuPj8f27dstlm/ZssViWXZ2NrKzs82WicVirF+/vs/2j5yX8S1O\ngI/c4t8CfOR4dkkK3txrGM69enGK1fWob3V0jKhr2Kbt19/tjseGyLae9kf2L6Le074/rZqX4OA9\noged6TWC53qi3sHEdOQy7MnBkJUeioQIPwAMLDkC82T0Prbpzjmq3fHYEFnqrf7I/kXUe4z9qfR6\nA/66pwit+8/zPo0cwto1gud6op5zmhx7RB3pSg6GAB85LwwOwDwZfYdt2jZHtzseG6L7ers/sn8R\n9a4NOwtwV63lfRo5hK1rBM/1RD3HwB4REREREREREZELYmCPXIIxB4NUIoJUImIOBifEY0SOwHZH\n5DzYH4mcF/snORrbIFHfYY49chnMweD8eIzIEdjuiJwH+yOR82L/JEdjGyTqGwzskUvhBcD58RiR\nI7DdETkP9kci58X+SY7GNkjU+zgVl4iIiIiIiIiIyAUxsEdEREREREREROSCGNgjIiIiIiIiIiJy\nQQzsERERERERERERuSAG9oiIiIiIiIiIiFwQA3tEREREREREREQuiIE9IiIiIiIiIiIiF8TAHhER\nERERERERkQtiYI+IiIiIiIiIiMgFMbBHfUbZoIKyQeV026K+1V/Him2CTDmqPbAdkjPo63bIdk7k\nGL3R99h/qa9VVDeiorrR0btB9ECTOnoHaGDKO1uJv+4pAgA8uyQFWemhdn/WePMR4CPv8baof9lz\nrNof3776HnpwOKo9uGo77I0+SM6jo3bI8y2R87PVT3uj77H/Um+x1U5z869g+8eXAAA5c+KwIDOq\n3/eNiJxoxJ5KpcLq1avx+OOP47HHHsPJkydx8+ZN5OTkYMWKFXj++efR2toKADh48CAWLlyIJUuW\nYN++fQ7ec2pP2aDCX/cUQavTQ6vT4829RXa/Kcw7W4mV645i5bqjyDtb2aNtUf+y51i1P7599T30\n4HBUe3DVdtgbfZCcR0ftkOdbIudnq5/2Rt9j/6XeYqudVlQ3YvvHl4Q2tuPQJY7cI3IQpwnsHThw\nAOHh4di2bRveeOMN/L//9//wxhtvYMWKFdixYwdGjBiB3NxctLS0YOPGjdi6dSu2bduGrVu34vbt\n247efepEk0rd6c2EtRuQJpW6n/aQ+lp/3GByuolr4/HrW3zIe3AMlGPNcwINZN3pp+wT1N+stdOK\n6ka2QyIn4zSBPR8fHzQ0NAAAbt26BV9fX5w5cwZZWVkAgMzMTHzxxRcoLi5GYmIiPDw84O7ujtTU\nVBQWFjpy16mdAB85nl2SAqlEBKlEhBWz4/DSWye7NWrASy4z29bqxSmcPuak2h/3vjpWtr6HI5Fc\nW3ePX3+1O2f5XiJTfd0OHdnOeU6nB1n7vvfckhScL6/vUp/gdYr6yo7DpVi57ihu3GzC43PizJ75\nwkO8Hb17RA8kp8mxN2fOHOzfvx/Z2dm4ffs2/va3v+Hpp5+Gm5sbAMDPzw+1tbWor6+Hr6+v8Dlf\nX18olUpH7TbZkJUeioQIPzSp1HjprZO4q9YCAN7cW4SECD+rNxbGG5A39xpygRhvQLLS5UiI8BPW\nIedlPO6A5bGydXx743tM3yYCHbczcj49PX4dtbu+5Kjv7a7e7IPkPKy1w7483/YHntPpQdBZPzXt\newCwct3RLvcJV7tOkfNp304z00JxrLAKWp0eb+wpwua1M5AcHQAADOoROZDTBPYOHjyIYcOG4Z13\n3kFZWRnWrl1r9u96vd7q52wtJ8cz3kC0anR2f8bWDQhvRlxHR8eqN28w2SbIlKPag6u1Qz7kDUzW\njiXPt0TOr7N+alzWk2mP7L/UU+0HbLR/tmNAj8jxnGYqbmFhITIyMgAAMTExUCqVGDx4MNRqQ461\nmpoaBAYGQqFQmI3Qq6mpgUKhcMg+U+e6Mw0gwEfOm5ABrC+OL6ebuDYev/7Fc+yDw1WPNc8J9CCx\np5+yT5CjBfjIER7ijacWJLEdEjkhpxmxN3LkSJw7dw4zZ85EdXU1PDw8MG7cOBw+fBhz587FkSNH\nkJGRgcTERLzyyitobm6GSCRCUVERXn75ZUfvPnWAI0SoP7CduTYePyIyxXMCkTn2CXIGbIdEzslp\nAntLlizBb3/7W+Tk5ECr1eL3v/89wsLC8NJLL2Hv3r0YNmwY5s2bB4lEgjVr1uCJJ56AWCzG6tWr\n4enp6ejdp07wxE/9ge3MtfH4EZEpnhOIzLFPkDNgOyRyPk4T2JPL5Xj99dctlm/ZssViWXZ2NrKz\ns/tjt8gKY56Pzk7q9qxn77bowdVXbaS3tss27Bx6chwqqhsBMEcMUV+z1U+7upzI2XXWdnvSttkv\nqK8pG1Soa1RhkEyKMN4bEbkEpwnskWvIO1uJv+4xVEV6dkkKstJDu72evduiB1dftZHe2i7bsHPo\nyXHIzb+C7R9fAgDkzInDgsyoPtlHogedrX7a1eVEzq6zttuTts1+QX3NtI1lpYciNMgL86ZGOniv\niKgzTlM8g5yfskGFv+4pglanh1anx5t7i6xW6bJnPXu3RQ+uvmojvbVdtmHn0JPjUFHdiO0fXxI+\nu+PQJWH0HhH1Hlv9tKvLiZxdZ223J22b/YL6Wvs2ll9QiQtX63hvROQCGNijftGkUjt6F6gPGR/E\nyDr+fciZsD26Lh67jvHvQ/2lO21N2aDi/TA5JWN7Zvskcl0M7JHdAnzkeHZJil0lzp+anyCsl5kW\nipfeOom8s5U2t5WZFoqSivr++inUi/LOVmLluqNYue6o2THuqa60N0dst/12Vs1LsLqdvvr7kEFP\njmd4iDce+3GM8Nml2TEDPs8e26PrcuVjZ6ufBvjI8aulKRg3OhDjRgfiuSX3l3e1X7vy34dcS0dt\nzbTtDnaX4IVlaQCAYwWGz7z01knkzInr1jWrr+6L6MGWd7YST/8pD2/v/wYFZbX48fiRZs9nYyL9\nB/y9EdFAwBx71CWdlTg35mVwk4rxqyUpOPnNdzhWWIVWjQ5v7i1CQoSf8LmECD+kxCig1wPHCquQ\nX1CJ+HA/3qS4ENMh+wAsjnFPddbeHL3drPRQuEnFyC+oxDsHS+DmJjXLd9PXfx8y6O7xVDaoUN/Y\ngpQYBQCgvrEFygbVgD0+bI+uayAcO1v9VKcHCkprAQCTkkI6Xd+agfD3IddgT1sztt3C0hps2Fkg\nLBOLRbir1mLPp2XY8NwUeMllXW6jfXVfRA8mZYMKb+cWY3JyCPLPVqKwtBbzpkZgUmIwssePhJdc\nxuIZRC6CgT3qVPvqWx1V+BLyMqi1eH1PEVJiFGjV6Gxuu7C0Vrg5kkpENr+THiymx7+v2kBvVMNt\nUqnx1z1FuKvWAuDDZE/1pN935zNNKjU++eqG2Tlo1oRRPH5EfcRa1du3c4uF4Pqm/cU8h9KA8fb+\n88L1Jb+gEsnRCpy9VINWjc6uoJ6tayL7B/WU6TTyhEh/5J+thFgsQlJUAG7UNEEiESHY35NtjciF\ncCoudainU1umJofYnDJga0oBp9O4jgAfudm0696YFuIKx9+4jy+8fhwZySFwk1o/lXLajP0ccdy9\n5DK7lnXElXJ6sT26Lmc9dr3R/jOSQ1BUVouislpMNhmx15VzgrP+fWjgsdbWANjVD8QicGo5OZxp\n2zpXVovMNMPsk6mpw1FUVouC0lrEjuQLFiJXwxF7ZFNn0w2sjeR7dkkK3txrKJGemRaKv/3zPF5Y\nlobYkT5WLxDtpxRwOo1ryTtrmIKaEqNAZlooMpJDOv9QB/r6+PfGSND2+5hfUInUGAUKy2qt3qxz\n2kznHNnvZ44bgR9u3wUA+A4Z1KXPGlMPAMCzS1LMpmE7K7ZH1+Vsx6632v+Jc9XCiL2TxdV4LDum\nW+cEZ/v70MBl2tZKKuqxct1RAJb9ICs9FPkFlXCTirEwKwoJEX5YNT+RU8vJYUzblptUjC9LbmLm\n+BFYvSgJ//Xe/Ta3/dBFZCQPY5sjciE9CuydPn3acoNSKUaMGIHAwMCebJr6WfuAR2eVkWzd0Gel\nh2JUsBd2HC4Vcuv9164CbF47w+a2eNFwPabTULU6Pc5crEFRWa3NAK6jKRtUKCytwdv7zwPo/SDM\n8lmxHd6sO+PfhAx0er2Q32v6WPvbhKMfvPp72jI5h74+dva2q+62f2vbz0gOEUYk9fS8zLZN/cX4\nMvr13bb7wYlz1UiLC8QwPw/sOlIGwHj/0XE7ZWVS6mvGEXr5ZytRUFqLlY+OgZtUDG1bahkicj09\nCuxt2rQJBQUFCAsLg0QiwbVr1xAfH4+qqio8+eSTWL58eW/tJ/Uh0yDdr5amQKeHUAAjZ04cdhy6\nBADCaKTObv0TclgAACAASURBVOi95DKz3Hld0X7UH6fTOB9je0mNVfT6tvvi+OedrcTJ4mqzNtmT\nIIy1fWS1sJ5xZL//7Eyl0C7yzlZi6cyYfvnennDFkYLk/Pq6Xdnaft7ZSrMR0I9lx/BegFxegI8c\nTy1Iwqniahw8UWH3/Ufe2Uq8nVssjPYD2P6p95z85jtkpYfiVvM95Juce9/54AJeWJaG/9plKPbC\nNkfkenoU2Bs2bBheeeUVREVFAQCuXr2K7du34x//+AdWrFjBwJ4LaB+kO3GuGt9crROmxezPv9Ll\nyl09vSHndBrnZdpezl1W9smNZ28ef+P+Gttzb2Eb7X2O+JtaGxXRpFLb9f2OCjw4eqQgOaeephno\narvqavu3tf2O8DxLzq6zfmCcxWIcFd4Z035yrLAKqTEKjAjy6rSv2LNd4/7Sg+vStTqcv1qHkop6\nzJowyqJdxo70EWZYsa0QuZ4eBfauX78uBPUAIDIyEuXl5XB3d4dEIunxzlH/k0hEFtNijMnklQ0q\noUppZzf0Pb0h5wXF+bVqdDhZXN3lwK89evv4X7xWj/mZkThw7CoAIGd2HID7bbo72EZ7X09zH3Z1\nG15ymVm7mDctskvFMxh4IGfgqBGcHbV/e/tjZ/cT7Ffk7Iz9oEmltnr9CA/x7tZLoFaNDoVl9gUE\nO8IR3gQAxwoqcfxcNQBD+oPDp7/lqFCiAaZHgb3Bgwfjj3/8I8aNGwexWIzCwkK0trbixIkTkMt5\ncnAF7W+qp6YMx593FAhv1U8WVyNmxP/P3plHN3Ge+/8rWZaNvGNJthEy3mWDdxsCwTtgAiEQlgBJ\nIO1tmzb5pWnS5Pbmctrbc36955cu59Ck9yaEpmmahTSQYCBAw44NNpCAV4w3vAG2AMs2Ml4Eli3N\n74/RjDXSSB7Zxhh4P+fkxMgzo9fSM+887/M+z/fxt9MmE7KgJQ+Ihw9be3lpTdKULkNlxnumSosD\nxS1IjlHCTQzc6BpwKHZNePAYz8KFsQsAOFjSgmULwlx678me50iJIsGaicrgHKtd8R3Ddz86uz4J\nkBMedKqbu50+g4TaOF8TusQo+aRl4hIeTjr1Blxs6kK5JUMvL12NpGg51ME+JEOPQHiIGFdgb+vW\nrfjkk0+wa9cumM1mRERE4H/+539gMBjwpz/9aaLGSBgDrmSvWDsctiREyvHBnmpep4A8BB5NHrRF\nGFsK8+5plNZ1ID0uCMfOX5sSji4pjxk/4124DA2bUVrXAQCQuInu2TgnkgftHiQ8GDBzJYAxb9g4\nux+d2S2xY8KDitBnkFAb58sAHE91AYHQZzDaaZn+3xfnIzF64rWyCQTC/WNcgT1/f3+8/vrroCgK\nFDXSKEEsFo97YAR+hAQCxpK9Yn09693CnDS1Q20QEpR4dLkX3/m9tCfrUhjxOGI3EzlGUh5z/1EE\nyPD6xhQUW5WnTOZ8RjrbEsbLRGZwWpdqZSWrkJM28XMSsVvCg8b98HWZzfPR/ITRxkYyvB9tWrQ9\nAICO7gG734XIvSd7OAQC4R4zrsDeRx99hO3bt2NggJ4wKIqCSCRCXV3dhAyOwEVIIGAi0u5td9WH\nhs12ToGjsZBgH0EItnYyGUEua7uubu522dGdyDGS8hh+xjp/WOvE5LoYjDBTYDcvFiapXDp3PJDA\nLmGimIgMTttSLX9vD8yJGFtJ7+blcdhxiPYDNy2Lm3TtTAJhPFjbnJB5+l4Fz0bzE4Q+Q0iG96NJ\nQWEjPv+WnofXLYrGknmhOH7hGgDgpdUJxBYIhIeQcQX2CgoKsH//fsyYMWOixkNwwGQHAmy7elk7\nBY7GUt3cjQ8KqpAQJUdumhqZyZO3SCY8ONg6owmRgffEtvkWhCOaTjKXHF0SiLv3jCfQVVypZXXy\nSqq0eDZfI+i8+/W9EnsiTDX4SrVWZIS7bJOdegN2Hm1g78ddxxqQNcZMWBL8JkwUQgPE1jb35vNp\ngufpyQ6ejaWLNeHRoUXbg8+/rWPto+BkI1bnRCE5RgmxCEiNDbrPIyQQCPeCcdXMzpo1a0KDevv3\n78eqVauwdu1anDp1Cjdv3sTmzZuxadMm/PKXv8TQ0BB73Lp167Bhwwbs3r17wt7/YYDZOZS4iSBx\nE03YzuFomnp9BiM+KKhCRrIK5fU6bP2iDEfOtY77fQkPF9bOqMlM4X+/qkCfwTjh73OytA0vvn0c\nL759nO3wbMv90olkFhj34j59UOGzC+ZzGg1FgAwvr01C5WUdKi/r8NKapEf6syQ8egiZ70aDr5un\nKx2irWF0K0vrOjA0bB7TNTr1BnxQUIUUjRIpGiW276kSPCcQCNYIvT9sn0NFZa7dS3w+RafeMGa7\nvVf+POHhplNvwNUbvXavUxSFyss6+Hl73IdREQiEyWBcgT2NRoM333wTu3btwu7du9n/xkJPTw/e\nf/997Ny5E3/9619x4sQJ/OUvf8HmzZuxY8cOhIaGoqCgAHfu3MG2bdvw6aef4rPPPsOnn36K3l77\nCexhw5UHfF66Gh9uWYwPtyy+JzvctmPJTVOjua0HyTEKFFp2/E1mCtv3VhNHnDAqPjLphDqv4wkS\nOWKiHGzrBYZYhHt6nz5KiEVgAwCuaijmpas5c9lkQBZshIlioua7ibLJibTtzGQVKhp0qGjQIcOm\nTH48ARPCo8No94czO6pu7sLLaxLGbMsTEXB35M+TZwiBj5Olbfhgz0VsK7iIXCvfZsNiDa53DyA5\nRomSKu39HiaBQLhHjKsUV6fTQSqVorKykvP6unXrXL7W2bNnsXDhQkybNg3Tpk3D7373OyxatAi/\n+93vAAC5ubn4+OOPERYWhsTERHh5eQEAUlNTUV5ejpycnPH8KVMW6/IBV1L97/UDPizEB6uyI9Gu\n60dReTsKy9rw09UJuFDbcU/fl/Bg40h/yZXS2PuluSTk/nM2NtvSmb/sqsCHWxYTZxzj0yjq1Bvw\n7s6Rz7WiQeeSNth3l25gZVYkAOD4+auCy3jHCxOMZH4mEO43Yykn5JvzJuo6tqXBzL1JSnQJrpAa\nqwRFAVWNnZxGf3x2ZP0cemlNEvLS1WzZoivP6omQWxjN1yHaeQSGTr0BXT10lnN8pBxDw2acKm9n\nS29Dg72x63gDANJAhUB4mBlXYO/3v//9RI0DWq0Wd+7cwcsvv4y+vj688soruHv3Ltzd3QEAgYGB\n0Ol06O7uxvTp09nzpk+fjs7Ozgkbx1SCz+mYCkEP63HlWjnUlZd1WJkZgQMlLQDohwczJvIQeXC4\nlzY0Xv2l+ylkzVx7PGMjOOZ+LFIUATKszYtmBaY3L3dd6J/pOheh8hd8zniDkYSHH6Hz8ETPd65m\nJE3EnOfKdYg+JcEZtvdNdXM32xAmL12NxCi5U61ovufQWG3LUUBRCELvCWL3jzadegPK6zvwwZ5q\nALSNn7l4HbnpahSVtdHyJKsT8HiiCh9uCQBAbOZRxGQyobm5WfDxkZGRcHNzu4cjItwrxhTYe/31\n1/Huu+8iOzsbIpF9qkFRUZHL16Qoii3H1Wq1eOGFFzgPQkcPRVcflg8KY3FeJyOwYDuuorI2zI0L\nQqTaHy3tt9HRY8DT2ZHITFbh2s0+vPj28Xs6HsLEMhE2NNqClNFfAgCJGz1/FJW14XQlXR6QlaxC\nDk9JpCv3xFQUsr6XAceHhbF+HkvmheJW710AwHRfT8HndeoNHIHpHYfqXAo0W3ed27w8Dmtzo10c\nOYFgj6vz8P0Iijub84TM50Ku8/rGFBRbrpNpuS9J+S3BEbZ2NyeC25jLOuvTGRNxDzkKKAqBBK8J\nQjhZ2oaSKi3K63UcG386OxJHv7+KjfkaNLf1jCnjlPBw0dzcjM1b/gmZn3LUYw23dfj8988hJiZm\nEkZGmGjGFNj7zW9+AwD45z//afe7O3fujGkgcrkcKSkpEIvFUKvV8PLygkQigdFohFQqRUdHB4KC\ngqBUKjkZeh0dHUhJSRnTez5MCHUExpON1ak38DY6WJg4A+/spBcheelqHCxpRfB0GT7aX0MckweI\niXAmR1uQ8gW3AOBiUxfrBPt7e0xI9tJE25qQe8ddIkZStMJhaSUpnbk3iEQAZfXzZGDbdW7HoTqk\nxCgEZe6RIC/BEWOdh8fSvZbvvPFmbHfqDRM2n5spoMxynYUWjT1y7xD4sLW7AB+PUSUOXl6TgO17\n6UwnIXYk9N6wvYeFBhQJBKEwNpYep4S7RIyUSDkAoKalC+26fjy5MBz7TzfjxysTyPxIAADI/JTw\nDlCNfiDhgWZMzTPkcnoC+e1vfwuVSsX576233hrTQBYuXIjvv/8eFEVBr9fDYDBgwYIFOHz4MADg\nyJEjyMzMRGJiIi5duoT+/n4MDAygoqICaWlpY3rPqYwjYdzxCEaPJuTr7NrMuW+9V4LNy+PYcf1k\nVTxKqq9DLBbBZKZQWNaG+Eg5tu+tRkKUfEzjJDyYCBVxtxaDTogMRFePgdVSYmyIL4CsCJCNS8h6\nPIx27zDZJTmpM1HRoENZvQ7Vzd2817pf3XgfZoZNFMrrdSiv12HY5FoW96K5IwLTk5lVfK+bHBEI\njnA0nzmb52z9A0c+Sp/BiOJKLdvMpqRK67TzuTNfx9HzhNw7BFv6DUb09A/SDZTEIpwsbUOxpSSR\nsa2XVtNBjuJKLT7YcxGffluHN55LE2RHE9EIwxpn/jZpjEEYDWZOlUrd8HR2JNtkaEVGBMRuInx9\nohH//bPHyfxIIDxijCljb//+/Xj//fdx/fp1TtOK4eFhBAYGjmkgQUFBWLp0KdavXw+RSITf/va3\niI+Px3/8x3/gq6++wowZM7B69Wq4ubnhzTffxI9+9COIxWK8+uqr8Pb2HtN7TnVss3ucZUONtovt\nKAuAoaalG+/u5L82x8E2mrDrWAO2vpaFtpt9eG93FYaGzchNV+NUeTunNDo3TY2KBh3veAhTj8nM\nhLC25/kJIXa/95FJ7V47WdqGj/bXIEWjRG6aGpnJru88jSUbRWgGzZyIQI5uGslSnRz6DEY7kf0V\nGeGCP3exSGTVxEJ4up+PTIo1uVHYW9QEAFidE8VrtwSCK9zrediZL+BonnPke/A1gPGRSZGZrGKD\nH3np6lHvi7FkMpN5lcDQqTeg9sotNlsvN12NM1VamEwUp4FAamwQjpxrZfXIFs8LRXFFO1QKL6f2\n5GoW7Wj3sJBSe5LdT3BEcaUWZ6q1WJMTCV9vD3xysJa1zb1FTWwzMOKPPNy4opvX2tp6j0dDmCqM\nKbC3cuVKPPnkk/j1r3+NV199lX1dLBYjKChozINZv3491q9fz3nt448/tjsuPz8f+fn5Y36fBwnm\ngS7EsUiIDMTW17LgI5MKcgTqr+qx9YsyALQTIRaLMDRsxvY9VQgL8XF6nbabfXhnJ1drL1WjhJ+3\nB0qqtHh1fQoyk1WInUXEWh8kxuNMurIgtbbnYZMZi+aqOQtBZ8dfqO1ARYMOsbMCJkXovc9gRGqs\nEpWXOzE0bHZ4XP1VveCxEKYGfQYjjp2/xs5jEjcRlj0eJtiuDp+7wjrRR767gmULwgS/N2m2QnDE\nRC7qJ6K01lEgkK8BDOC4m60zbMdHSm4JQuDTGSsqa8Mbz6XBZDKjokGHyss6Vvbjgz3VMJkpuEvE\nMJspnK/twPnajgmfgx3dw64ECYm9E2w5cq4Vn35bh1XZkRgcNOFiU5fdMTc6+8l8+Qjgim5ed3sd\nAmfGTcKoCPebMXfFdXNzwx/+8AcMDAzg9u3bAIDBwUGsX78eu3fvnrABEoRRXKlFYVkbqpu68PLa\nJOSlO3eSX1qdYKcBkhyjRFVjJzKSVHjj3dMAaA2S1NggvPFsCkouXodK4Q1NaACOnr9mN4bnn4iF\nj0yKZ/M14+4mRrh/jOc7G8uC1GSicLpCy3bK/e7SDTy5MHzcY7GmRdszJt0q6+BLXroaJVVavLQm\nyc5R7zMY8UFBFacr9OZls4n9TwIiwC4w7IrMnq0+jVAUATL8ZFXCmAIPRBydMBoTYQt8wWNHAbNW\nbQ/y0tUoLKPvo9w0NfoNRnjLpC7fI86OdyXQyJcRSCAwMPMoYyPWxM4KQE1Lt0P7SYpWcALQowXY\nrO+Z3DQ1alq6kZNm7wdYb4iT+ZwwkXTqDfhofw2WLQjDl0caMHdOENzcRBy/84Xls5GRNIPY3iOC\nUN08w+2OSRgNYSow5sAeAHz00UfYvn07jEYjZDIZBgcH8dRTT03U2AhWONu9ti4tyE1XY/ueKl4H\nxTqjDwASajtAUUBVYycoiqKd6Bius7N9bzVSNB1IiJLDRybF3qJmpMYqUd3UxbZTB+hAoRDReD7G\nm1FAmFoI+R6t7bmmpQsb8zXYcagO7hIxNizRsIHl0RajzmDsqqalm+2U5wqdegNKqmitqKrGThSW\ntWHra1kcO2cWznPnBGF+fAgOnbuCFI0SmlkBaGy/hU69gdj1PcZbJkVpXQd+uGIOAGBvUSM2LhEm\nVC4G8FRmBPYU0uW0a3KjXBKeJeVShKmKs+Axn91SoDcImQ2WkiotW9K+MV/D6f7MnMPXtRaAw+Od\nZana+gGdegNvRqD1762PJzy6VDV2cvxRJjvP1n4+3LKY9SPEItcC0AmRgUjRKEFRQFF5OwrL2lh7\nLCprw8WmLnZzyVn2H8lEJYyVPoMRCVFyHDp3BY8lBGNWkA++Ot4Id4kYG/M1CJkuQ1YqyfwnEB5l\nxhXYO3z4MM6ePYsf//jH+Pzzz3HixAlcv359osZGsIHPGe/UG9jSAmCkJNaWk6Vt+KCgCglRcuSm\nqUGZzaweSV66GolRcsyJCESfwch2oWMQi0Xo7R+Evm8QYrEIlZc7kZM6EyVVWqRqlMgZo94ZMy5S\njvbww7cIs7XnrGQV+gxGvPHuad7FqFgEpMcFQaX0htTdefjFNtOupqUbi+eFQt97FwB3EeqI8voO\nO80e5m+xFXenzBQbEGdKhefGjV2WgCAcg8GIFZkR0PfR3+2TGREwGIyAgMVSr8GIPYVNHH2a5GjX\nmv6MZVE2EYu7Fm0PAIx5Q4XwcMPXsKLPYHSYTRSh8mc3WABg07I4RKj80ak32HV/zrLMn3xdax0d\nDwAffVONVdl06frf91ezc3tRWRu7+ZKVrEJO2uiNDIjf8Ohi3XRiZVYEDp+7goE7Rvx0dQIuNnYh\nITKQVxqjz2Dk+B2nK7UOA9DW/jLj31qX+0rcROxYTldyS4FHy8AmG0IEV2Ds3Q1AdooKcyIC4TXN\nHdsLLrLa5zuPNuDDLYvv70AJBMJ9Z1yBPS8vL0ilUgwNDQEAFi1ahB/+8IfYvHnzhAzuYWasu81C\njs9JU7OBB8a5/+ibamQkq1BY2obyeh1WZkWwmnqMBo4iQIaalm5OOc6GJTG4M2jC3iJaoJNpklFS\npcUfXskQrOfHBylHezSwXoS9vjGF1WGy7Q47mnj1h/uqsXhuKPZZbHHAYMTSBeG8x9qWmafFKgGK\nsluEOns/24D5/1mXhC+PNsBkppCVrGL/DgAw8UjvZabMJLbsImMJVvUYBjFoNOHazT7LuX7oMQxi\nloBzvXnEpfleuxeMZ3FXUNjIWZCuzY2e8PERHmx8ZFK70lprMXU+H2RtbjRmh9G6uHHhIwFumacE\nSx6j76jj56+y5ztryMXHEwvCONmxzHUuNnWxmyj+3h5sJhRf8Jv4DY821v7Ey2sS0N17B08sCMP+\n0y04X9OBlVkR6L5twAcFVZwsvtw0Nd56r8QiVaO2C0DvOtaAlBgFAHt/2XCH9jUc2aNQrO85Yq8E\nITCbHlKpGElRCpTX6+Dv7YFuyyY1gUAgWDOuwJ6fnx/279+PmJgYbNmyBZGRkdDpdKOf+IgzEbvN\n1noettp5mckqu9KAlVkROHT2CuvEHChuQXKMEqV1I3X3LdoenK7Uoqalm+0iZhwy45tTzXYZgQuT\nVCRThMCLtfNqvQhzl4hxsanLrvuyrbPryHlelR2JL480cMrEU2ODBDnIoUG+2FPUBLFYhKRoBc5U\naTmLQSGBdn3vXVyope8XZvFpXU68eXkcm+3C3Id8nwmBn7EGqyiK/m6YwECAjwesmnM7JULljxeW\nx+Fzy/e22ZKl5Arj+W7Hck6LtscuIyolRkHmYwIHRYAMiVFy3O4fBAAkRslHLYl1pMm3KisSXx5t\nAAB2E9BZQGPxvFCcuEDr8C6aGwqAzpayzY7NSJrBvi9fV2uS2USw9Ses5TG2763GW5vT8YfPSjm+\nbbuuH/PjQ3Dm4nWszIpEW0cfisrbMTRs5g1Au0vEHG1pW3+Z8TUYe+zqMcBDKmHHlZWsgr+3BxtE\n58vAJlmmBFdp0fagQ29Ac3sPls6fhb9aJJeYKhRbOSQyRz7YuNLlFiCdbgn8jCuwt2XLFpjNZixZ\nsgSffvopOjo6sHXr1oka20PJROw22wbtXt+YwqZgM86PdWmAu0QMra4fT2aEY//pFrazp1hElxO8\ntiEF1c3drNPBZOVRFIXQYB+793/+iVjBi0hni16iNfLwYa33+IsNKUiIDGR1bEKDffDtmVaO7btL\nxGxnZsbZ5VvM9RmMaBDYdZbPrmbIp+FASQu7Cw8A52tv4smFEYIE5n+yKh6fHKy1W3zylRNbjxsg\nDr0QxhOschOLcLpCy4qkF1dqkZMqXBpguq8ne+50X0+Xxu1qCaEtJOBLuJfo+wdBWf0MOM+043u9\nz2BkM5UBYOexBsydHYQIlb/DTRh/Hw/2nvL38XA6Rh+eDFnr1/i65TrS9iM8XNhm+w8ah+3kMZTT\n7b97iqI1IpkmXNVNXXYd7a3tKDTYBwdLWjnBwRSNkt3Is8a2fHdtbjRy0tSYExGIFRnhvFUsJMuU\n4CqM7btLxPjhk3NQ1tDB0XtOjlHiVHk7UjVKLEpX4/FRqlAIUx9XutwCpNMtgZ8xBfZKS0vxy1/+\nEkajEQEBAfjwww/x0ksvYceOHfjZz36G06dPT/Q4CRb49Dz+sqsCH25ZzOskuEvEyE6dicLSNpTV\n69jOnssWhEEiEWPTE7Hwlknx4tvH7bLy/Lw9YLg7zCnneXV9yqiLbWaxah0sdBTQIDvyDw6jBSGK\nK7Wc8tX//aoCf34tixVSr2ig7Y/ZOQfoABmfs2sbGCup0vI2bBGqYdOpN2DdomhOxt9H31xCXNh0\nQQLzAPC3fZc478EsPp2VExOHXhiDxmFBr/EhAr24H0tX3NEE+kc7t6alm/13TUu34HOBsQd8I1T+\nnOzQTWPIMiQ8/LRoe/Cp1WZERYMOSZYmWHw40uRzhqNNmN0nGjnv+3hCiFO7tX19tHuIT9uPgQTL\nHw5ss/2v3ezDnqImjp/6xnNpdgHmnDQ1zl68jowkFSshs35RNP51thWxs6az+pDAiB0xvrG1b5IY\nJUdFA21jjK/hbAOKlNcSJgpr20+PUaBDP2AX0BaLAIqiEDnTD9GhAfd5xISJQmiXW4B0uiXwM6bA\n3jvvvINPPvkEkZGROHHiBP7rv/4LZrMZfn5++Prrryd6jA8Vk5GlZl0acLt/EIU2ZS4/XZ2Aj/fX\nYGjYDKX/NKTG2ov8J8cocXdoGF8fvwwA+MX6ZMRHykcdK7NYTY1VChYTJs7Q1Ge0IESn3sAGf605\nVanFvqJmjv2lapQob9DhpdUJ+Gh/jdP3ZRwcsViE7NSZOONCwxbbgNtMhTf7b3eJGCkxCgwah+Eu\nEcNkNI16LZJdeu+Q+8uwJjcKe4to/a3VOVGQ+wv7fN3cxHalfEvm3fusyH6eoEe/VXMCZ4w34Ls2\nN5rVgyJBPYIrOJvL+DT5FAEyp4FkW5t1FqTn0/Dr1Buw82gD241317EGTvCFr1uuo3uHZEc/fDCb\n01du9tr9TqXwAjASYK6/qrfYg5zzTNh3uhlPZ0fiq+ONKKvXwUTRXW5ttXgZ32TTsjh8feKyS83h\nSHUKYSLo1BvQor2N1FglKi93QqXwtpND+tnqRFxq7mI74RJbIhAIDGMK7InFYkRG0p3NFi1ahN//\n/vd46623sGTJkgkd3MPKeLLU+PQ8+DKXmNKAxmt6uy63F2o7cNcSyNi+txofbgniOB25aWr84yAd\ncEmJUSBshi9mhfiOOjZOl1CBGleEqU+LtkdQEMI2o+6pjAi0d/TZXe/5J2Lx0ppEKAJkcHeXCHJ2\nh4bNOFXejpQYhUul4NYsTFKh32DE3w/UICOJzvAqq9dh8/I47DrWgKFhM2cMfItE2yzA0X4mDr0w\nFAEyhIf44EdPzQEA+HsLb8rDFwAUGhTst3RJtA5mCA3OAYDJTHG6i08mJKBHcEaEyh8/WDEbl5q6\nAADxUXLWZvLS1QgL8WGPA+h7MDlaDj9vOqMvPMSXvQ+cBZJtAxrTpBK7IP00ix6Zo8Db0LCZ1ftl\nuo06Ot5ZZiHJjn44YGzq3zelobm9B3uLmuEhdbOzK9uSbUWADCqFFwaNwxy/NyFSjq+ON3JsY+tr\nWXbvy/gmAO372pbV2madMr6IkIAyqU4hjIatzNKSeaFwdxPbHRcT6o+YUP9xNS8kEAgPJ2MK7IlE\n3EKnkJAQEtRzkdE6gDo7hgnaJUXJcapSi4/218DdXcI6E9ai1u/srOAEW3701Bx8ZtEHYWhq72Gd\njj6DEb/ZfhZJ0bQTX3/1FuZEBLKiwkJ3wasaO+1KeMkDaGowmn1Z/54pgx0NRYAMP1k5B38/UINU\njRIxswJwoLgFsbMC8OxSDQpONmJo2IzNy2ZzFoajObvWgTGKosbdtGXpgnBEhwbgjXdPc8pptr6W\nxXGSRsuostYS3Lw8DjstwvJM2THgXDOQYM+QCfi7JYPzFxtSBJ+nCJDhuaWxaLh6CwCgmTVd8Od8\n1ziM4kotmy1UUqUVnO1HgV/0X+iYScCX4IyJKCn18/LgLVl1FIgYNoMtX7S9B/lKePmu4yWT4vC5\nK1iZRW/+HvnuCpYtCKM7jRdUsdp72/dUsXOqK91vR+v2S3jwsLZ162drXroafXfooO3s8EC26RsA\nHCxpi2M02AAAIABJREFUwbIFYZzrWOuSWQfgkqIVoEBr71U1doKiKLvGc4zMjL1Nc++/tbnRmCH3\nQsM1PfYUNiEk0EtwQJnM8QRHWMssicUipGoUkAdMwzenmjnz3QvLZ5NNPQKB4JBxNc9gsA30EcaO\nK6Uk7+y0dyasde1eWD4bAHCqvJ3tchs+wweZySqOU1xY1oaomSMPiuULw7H7RCMA4GerE/DXvdWC\nnRbrIExilBzP5mvY3xHuP6PZl/Xv33w+jS2DtQ4OOwpCLF0QDl9vDzRe60Fv3yDmzQ7GydI2lNbp\n8OwSDZqu9+DLo/Xw8nTD0gUjAZDRbMNW665TbxiXPTkSaxd6TVstwR2H6tjFhrX+jiPNQII9zhb9\no1F/pQsdtwbYAIa/jwfqr3QhNkw+6rmeUondfOgpFfZY9JFJ2cYwAFDT0uVSgIEEfAmOmIiSUkf3\nFMCf2ebodUWADKfL29Bygy6FjAjxRVaq2unmx09WJdgF6lq1PXZamEx2rFgEdpziUdxJRYDjbr8k\nWP7gwQTy3CVi/HR1AufZWljWhrRYJfLS1bjdP+gws7NTb0CfwYgPCqpgMlMwGU3YdawB/7E5HSfL\n2nCto4+TWc3YTF66zC4Lf7QgXafegD9auvC6S8Ro7+yflM+J8HDTZzAiNNgH9Vdu4bH4EBRafOfc\ndDXOXLyOVI0S6bODsONQHTKSZpC5jUAg8DKmwF5FRQVycnLYf3d3dyMnJwcURUEkEqGoqGiChvdo\nMV7dpT6DkXP+54dqsTFfg51HG1B5WYfnlsbi7U9KsTBxBlIZJ1osQk1LN87X3mSbA+SlqyEWizhO\nlFAclSsS7j+j2Zft74sr2gGMlMGmapRs6QlfNon1YvSXG1M4geedx2kNpbtGE/5+oAbRoQEuBdPG\nq59kWx5rqxkF0CXHzJicZZHwaQkSxo/tol8oxiEzTlwYyZw7WdqG7BRh4sODQ7TGIjMfukvEGBwS\n1rRjwGDEU5kR2FNIl4atyY3CgAtlvAAJ6BHsmciGOzmpM9HdexcAkJ0y0+mxzkpcr9zswz5LJt+a\n3CjEjfJc5wtaO8pw7dQb8P7uKsRbAuTbCqrYJjSOAnVM1YL19R29L2Hqcq76Or6v7YBYLEJSjAK3\nLLZqS0mVFn98JQOpsUp89A3tpzL2YO0XrMyKwJHvrsJwdxhDw2YcO38NFAUcP3+NY3fMhjMwPjtJ\nilZg94lGwU29CAQ+/nWmhV1//XhlPP6+/xJHUy85htZ+FIkAw11h/gmBQHg0GVNg7/DhwxM9jkeK\niSix4XN6+bJFxCIRUjRKhAb74Kvjl3HXaMKJ0jakxCgQGuyDf51pxU9WxmNbwUWO45McQ7dVd3MT\nYf3iaHxtyeAT4rQ40yib6M+BMDEwO94M7hIx/Lw92BIA6zJYvu/VdjF6utK+fDc02Ae1rd1YmDjD\n5dLuFm0PSqq0bMBZyGLXUXfmhMhAO7H2mpZulFs64yVGyZGTZl9Cy3xGtlqCm5fNxs5j9fTPVgFD\nkjHiGraLfuvFlzO8eeY9vtf48HSXwNdLis6eOwAAXy8pPN2FPRbvGIexp3CkS+PeoibMjVMKOnci\nIPMnYTTcxCKEBtNaenctC0JXm2d09Rh47TwuXO40Q455njCvOcqUBhwH9Z1l8jmye3I/PBhYl9wu\nnT8LmtAAfLDnIufZ+syiaPT0DeLn65LQeqMPnxysRYpGiexkFbLT1Hb6vweKW7Axn5b+2LgkFl8e\nrWcDxkIQIpHAHLN9TxXCQnwgEgFnL15nq2L4mtERCI449v1V/G3fSCCv8rLO7hixiJ4Xiyu1xK8k\nEAhOGVNgT6USlg1BsGe0YNebz6fhf7+qsBPy54Nvd9raKdmwWMMG8yiKzrwC6P+XN+gQNsMX//58\nGu4M2u8AubuJkJM6EydL21DR0ImN+Rqold54PJH73TtaXI6WdUC6100+NS3dvLqHfLo0KTEKHDt/\nDWKxiHVYpe5itrwrfXYQVApvfFd9nVMmy1Dd3IWX1yRg+17acc9NU+PbM61Y9ngYDp29IigbhS8w\nl5uuxqnydlCjdGdx1J15+54q/N8X5yMhSo7Ky50YGjZD4iYCRdGNEArL2nC7f5DNGLG1V3eJGBvz\nNdh1rAGpGrpEKCY0AMkxcjbbL8vSQY84X8JxlC0k5DM0Dg1j0Vw1JzBgFJh1ZwZw9PurWJMbDQDY\nW9SIBQkhgs714CnZ5XvNGWMNzpH58+FFESDD6xtTUGzZHMm06hDrCgMGI7y9pGjR3gYARKj82IxS\nR5ltbmIRm73qZomkMX6DNcxreelqhAROAzDS5RYA9p5qQrWlaUdClByrs6OgCJDh2XwNdh6z6JEu\n0bAbJnxB/U69Ae9aZX1XNOjYeZnwYNOpN7Alt37eUoQG+cIwOMxWBzA+x9Wbvaho6ERu2kx8fZIO\nLl+o7UBFgw6DQyZ8V3PT7tqXr+qx7PFwFBReZnV/heo9d+oNSIgMxIdbFgNwPC/npasxNDTM0QIs\nqdLipTVJxD4Jgjl/6To8pW6c16qbu7BxiQa7jtPz5FOZEZgTMR0RM/zZOZNAIBAcMSEaewRhOAt2\nWS/UXl6TgNTYIE6JJADOv7t6DPCQSuxEVBlH+/vaDlzruM064LbNLJ7OikT/gBHfXbqJ4kot53c/\nXjkHUTP98J/vn2X1SnYebbDrIjbWxeVElhoRhMEskqwDdQmRgXaBuqa2Hvz5tSxQAMrqdWw5NqNn\no5J7ISd1JkxmCt+cokuz0mKVWLognBNUfmlNEhIiA/H2yz74+mQTisrbMTRsxoHiFqTPDsLwMP3d\n17R0ccYIcMtubQNzRWVtSNUosTDJ8WLXUXdmd4kYGUkqbNl2FsCIM56RpEJRebvTz465HqPd88dX\nMkAB0HYO4LU/FyE2bDpy09RET2+MDNwxYsm8ULYUa7qvJwbu2Af7+JC6S3C6YqQBRnGlFk8uFNbE\nYnh4GE/Mn4V/HKCbdmxYHI3hYWFBwaHhYazNi+KU4g4JPBcg8yfBMWYKvE0vXKHvjhG3bt9ltcX8\nvT3YRgSAfUYdABSVt7MZTqcq2rF+cQx8ZVK7bqS+lky7gsJGtlnQ5uVxWJsbjVZtD7S6fvZ9p/t6\nolXbAwrAN6eb2aYa+4ubMXd2EGl88YjAt4kh85Tg6exIXLlBB58ZP7Tysg6L0tUorrrOeWYzG3sS\nNxGudw9ALAJWZ0di32naF8lJU+N8zQ0kxyix9LEwxIQG4P1f5QEAJwOcT6fXlfnYOjAJ0MHora9l\nkaYGBEF06g0ortTis2/r6M1iq0DeiowIHP6uFauzo3D1Zi+CAmR4bM6M+zxiAoHwoEACe1MA24Xa\n9r3V+HALnc5v62xIxEBl40g79BeWx7HZJrbHL5qrxprcSOwtagZFURCLRUiLVYKiALGbCJ0Wp99k\nplBk0VALDfaBvm8Qt3oH7cZp7YCPtrh0lB1GuL/YBuoA2AXqkqPlWLognJNxl5OmxpkqLSgA3b13\nuVlwe6uRGhvEyQKpaenGi28fx9zZQZxj3SVizA4LxKf/qgVALwZtA9tM0w7bwBwDo/MnBOuAdkqM\nwi4zZOtrWbh2sw+FZW2QuImQm6bmiLE74vI1PbtbvyY3CgeKW1Ber4PhjpHTGIQgDHeJGGaKYoMZ\ni+aq4S4RCzo3QuWPZ/M1+NxSAr15WZxg+xg0mrHreCNrE1+daER8hH0GKh8UBfT2G9lSwd5+I6+9\n8kGCcwRHTJRtUJR9eXtOKh0k5AvIKQJkeHltkl0ZoiJAhrLLnXg6mw7IeU1zR5jKHy3aHk6zICbT\n22gc5mianbhwDYvTZ8JDKsH8+BD2OZOXroYI4NU8Jc0wHi5Olrbhg4IqJETJsShdDZPJjCXzQiEP\nmIbaVrqbOdMNlNl47DUYER8RyLHhorI2zJ0dhFnBvqw8jL+3B557Ihb1rbdwvuYGnpgfhr/vp/XK\nevoHWWkNZhx8wbuJuOdIgJoghCJLVchnlrnTZDRhT1EjVmVH4trNPvQNGBETGoAAXw8EBwYjf37Y\n/R4ygUB4gCCBvUnEmSA/H3zOxqrsSI6j8/mhOiTHKNiGBtbHnyylAxdRM/2h09/BP4/UY2jYjM3L\n4mC4O4zQYB+U1+vgLhEjKVoBANB29mPYRKG338gJ7LjiVDvKDhvtcyDcO5zZnqNA3dIF4ZBNk6Ko\nrA1nLGUmozmvzDWZEioKXN2mtXnR+PRftXaLQab7blK0Ai3aHrhLxDAZTXaZpq+uTxk1aGNbypYc\nTXdn7jMY2cARg49Mygqx9xmMvA09bD+7V9YmcRqD7C1qQnKMEqV1HexnR+zZNQL9ZHYNMDYuEaax\nBwBrcqMRFxYAgFsSOBpDJvtIHN9rfBiHaHF2ZswSNxEyk4XtrPcZjJB5SrDksVkAgOPnrwouPSbz\n56ON0PLtELk372uOAnIRKn/eEt1OvQE7jzawmXw1LV2s3AAffHcPBefNM2w1T7Ms5cfOmmEQjckH\ng1ZtD85VX8f6xTG43KbHidI2BPp6onfAyDZ2YbDeePzVpjQEB3rZPbMTIuX4+/6akcBxaRv+/fk0\npGmUOF2pRYGVHqS1tAbguOuzq5A5mDAWOvUGtOn64OftgdRYJSsHMzRsxtUbfazt/+KZZAAUcufO\nut9DJhAIDxhTLrA3ODiIFStW4JVXXsH8+fPxq1/9ChRFQaFQ4E9/+hPc3d2xf/9+fPbZZ3Bzc8Mz\nzzyDdevW3e9hC4bPUXU14McHU54LgA3UiUWACPTOff21W1i+MBwRIb6ICw/Ehdqb+MfBWiyZFwqT\nmWIzAJ9bqsGVm704W30di+bOxNbXsgQFO6wdmz6DkX1o2WaHOfscCPcWZ7pKjshMVkGl8AIANqCW\nlayCv7cHbzYm02CCCcyZTBS+u3SDLb+6cv02e213iRgpMQr0G4yYnxgMmdTdoumow6Zlsfjq+GUM\nDZuRGCXHioxwzhgcwdwzfKVsPjKpQ5sdzQbz0ukMssKyNlzt6HN6rNAADYGLu0SMFKvggSsUV7RB\n30+XFnb13EFmirCyVq9pbnZlhl7T3EY5i0Yksh+zyPGtxMFHJsVTGRHYdfwyAGDD4hiXMj7I/Pnw\nYBugcvZsdVYuyHcdPq0+Pj1La2ztqc9gZAMuAB3A7jMYEaHyt8u0i1D5o1XbY9eEw1Mq4Q34Mcg8\nJUiOoTcXW6/3OB3PaJ8DYepQUqXFtZu9uFDbgQu1HViZFQFdjwHK6TKEhfjiiyP1eDxxBkTgbgC+\ntDoB0Wp6o+aVtYnYtuciAOC1DSkImj6NExQBgBC5F3xkUly76fzZ7IixBOrIHExwlbPVN9DTN4iC\nk7S/sX5xNNo6+uA9TYoTljUYAMyQy6BxYYOSQCAQGKZcYG/btm3w96cX73/5y1+wefNm5Ofn4513\n3kFBQQFWrVqFbdu2oaCgABKJBOvWrUN+fj58fX3v88iF4WiXma8DJ2BfiiIRcx2gzcvicLN7ABfq\nOvDNqWa7QJ2/jwdOV2ixbAHdtMA4ZMLqHLp0MD5SDh+ZO/YUNbO7mF8ebcCz+RrMkHvjP98/y44h\nL93eceFzbKwd7tEEhYkzNPnwBWhnRwTCRyblDdTxLaCYDLcVGeFs0LdTb0B5fQdbnrp5eRx2HWvA\n5Wu3sCorEl8epfVD1uRGIf+xUBSVtyMjie6EWFavw7NLNfjySANrh18crmeDyjUt3bxddK3vpU69\nAfVX9fifXRVIiJJzMhD/96sKpGhorb7XN6bwCmNbN8f4xYYUxM4K4Py+U2/A1i/KYDLTJe3W9+C6\nvGh8c7qZLeV9670SvLw2iSw2XUARIMPGfA2nPNCVDOF23QAnSManocSHZpYctVd68KOn5gAAhs0U\nNLOEOdS+02jtsV3HLO+7JAa+04QF5/oMRuw6ftmqBPgyHosPnrQ5kWQ7TQ0cBagcZc4J0ei1vo6j\nDQ7bYLazoLKPTIp1i6LRamnCEa7yY49X+HlilaVEV+Hnafm9P9TBPmwTDnWwD8ItFQUb82PQeI0O\n3EWH+rPPj2ULwlmdy9EE4kkZ+4PBkXOt+L62g/MsZrrWfnX8MhKi5Hg2PxYFhZcRExqAhYkzMN3X\nE+2d/eg1DOHFt48DoGUZ0mcHISd1JvoHjLwaucwzNydFhQAfD9b/tZXWcBS8E9o0wxZicwShnKu+\njkvNXbhQ28HeD1+faESKRgmVQmpp4ibCq+tTSFCPQCCMmSkV2GtpaUFLSwuys7NBURQuXLiA3/3u\ndwCA3NxcfPzxxwgLC0NiYiK8vOgsotTUVJSXlyMnJ+c+jlwYo+0y83XgfG1jil3WXFx4IJbMU8ND\nKkHDVT3+9HkZAFpYuHfAiO9rbnJK2pJjlDhQ0oJNy+LQcOUWZiq9kJlMB1X4MkwarupBAYIcZ9vg\nh7XDTQSFpya2AbFPD9bylk07W0DZdowtqdJyHPgdh+rYZitvvHuaU7Y6Pz4Ezz8Rh38cGCmnuXxV\nbzdOZvFo3Rlx+54qzJBPQ7O2F3/bR+vobF4eh51HGzA0bEZuuhp9A/b6kOogH1Re7sRfdlXgwy2L\nee1WLBYhI1mFrV/Q95OjTJDyelrYm124Kr3xh1cysONwPdskhCw2XaNTb7ArD8wS2A30Zne/XZAs\nPnK64M/ez8uDMy8Lpat3ELuOWb3v8cuIUQdgloBeB4NG+yYbfK85YjwZSyTbaWowWoDKlcA233UA\n/tLDfoMRhjtDbEDOcGcI/aNkGet777IBQn8fD/Z9//xlBacUPS6cHv/q7CjEhtLPfaY0vt9gRFfP\nyHUCfD3RbzDiRlc/dh4b2dTZdbwBs8MDkBit5B3LeDpoEyYHprkEoz9qTVNbDzKSVSgsbUN5vQ7P\nLY2Fl6cE731dhbtGE9LjgvDF4XqOD5sWF4R2XT9n86+wrA2rsiNx6OwVxEfKLXIhiRC7ieHn7QFQ\nQMRMP2RYNZ+xDpgz46xu7ibzIeGesutYAxqu6REa7IMLtR2c31EUUFDYhC0/mIvwGX5kHiMQCONC\nmDr5JPHHP/4R//mf/8n++86dO3B3dwcABAYGQqfTobu7G9OnT2ePmT59Ojo7Oyd9rK7C6axppvC/\nX1XYldp26g1o0fbgg4IqiMUiZKfOxMnSNuw4XI+61m506g2oa+1Cv8GIuHA5tJ0D+OveavaaRWVt\nbNmkNW5iYG5cELw8Jai43Ilz1TdZrZvKy7SGmcRNBImbCDlpalQ3u1YG5wwiKDy1OFnahhffPo4X\n3z6OI+da2UUSU2pV3jCiZ1PPE2yzxtpehTYNAIDZ4YGobenmvFbd3IX1i6NZO+QrhWG62n51ogl/\n23eJtfsdh+oQHyln7wGp1I1zrdw0Nb4904rs1JkOGzKkxirxVGYESiq1vPcoU6pD76pSmBMRiJfW\nJOKlNYmIC6cXCuWWLsKEycddIkZ6XBDS44IEN90AhM3LDuEruxVYiusplXDmXaZcUeiYPyioQopG\niRSNEtv3VAke87j+XsJ9RREgw7P5GtZmmMw2R4EuR1AADn93FQUnm1BwsglHvr/KKZPt1Bs4NtFn\nMOJ0hZa1t+JKLXt9R/fdydI2bNl2Flu2nWWzpyiAbaphMlM4ceEaZwPRGuvXWrQ9aNGOlOf6yKR2\n945tYy9i0/cXxneobe3GyswI9rt6KiMCEAGFFv/TZKbw5dF66PvvIiFKjvS4ILjxTN8qhTea2nrs\nXg/0nYZn8zVouHoLFIBLzV3YtrsKX59oxL7TzSgsbePYDkDfR9XNdHOvD/ZcJPMh4Z5ysVGH3Scb\nIRYBM+TeWJkVwVlvVTXS61cS1CMQCBPBlMnY27dvH1JSUqBS8ac7UA4iB45en2qMtsts3TVs3aJo\nXL3ZC7OZQnVTF5I1ClzvonfHAVqXoUV7G5eau+2u6efjgWeXaLDT0jo9L10NsUiEY+ev4Xxth11G\n09CwGSVVWvz8mWScvXgdZ6q0WJERAT9vD1RYgjyO9EZc0QYi3H/4ui+nzw5iy2YTIunucYoAGVq0\nPThd2W6ne8Ncx3qXOy9djTMXryM3XY0iy7Ebl2jw1nslAIBn8zXYeYy2x42LNWi42o2ZQd7w8QrF\niQvXAAArMiJwsKQVKRolctPUyLSIs1vrRIUG+2BvUTNvFgBALzIfmxOMOWGB+OJIPb0QjVFi1/EG\n3DWaUFTWhv/YnM75PACgurkb5fU6lNfrkJeuZrPubOErjysqa8PpSi3cxCL821NzcNHipGUKzDYj\n0PQbjFg8b8QeFs0NHTWLiMF3mhRrcqI4pbhCS2I7uvt5XxPyvmmxQdiwRIOvLHPt+sUapMUGCXpf\nb5kUgf6ebNZnoL8nvF3YBGEyrgGQDJMHFFefly3aHuw+2cg2mSgobMTc2UFsoMta047J8HfUbdYW\nJjDGl80pAt05nWl0kJ0yk+1m+2y+Bp9ZyudfsJTPWweeATrLOiEy0GGW6kylDzYsicFXlvt3/eIY\nzFT6sH8jX/de21Jf2/kYoLVgmW6ohMmD8TMWzwuF2Uzh0LkrSI8LQqpGiR2H67AyKxIXarhZS/5e\nnqhuasHQMN0t99klGhQUNSIhkg72Nbf3wN/bg2PnG5do8Nm3tRgaNrOd6aubuvD8E7Goa70FHy8p\njp+/hrJ6ncMOuA/I8oHwgHKmSguTyYyc1JnoGRjEja5++HpJkR4XhCi1PwpONoKiKLy0OoH4iwQC\nYUKYMoG9U6dOob29HYWFhejo6IC7uztkMhmMRiOkUik6OjoQFBQEpVLJydDr6OhASorw8qnJhgke\nOHK+maYX52tvIjt1Jo6fv8aWJ+w71YSMZBVu9w9ySlW+PtGITcvioAmfjmCFFwpONrIOkeHuMPYU\nNtFBjWgFeu8Y8fXxRvbcojK6rMF6LE/MD8Pf91+CZtZ0zImQ42BJC/7wSoZTvZHRtIGYDqOEqc3w\nMIU9hY34wZOz8bd9l3CxqQs6S1kkACyeF4q0WCXEIhHEIhFefPs4UmOVnLLbwrI2pGqUOFOlxQ+e\nnI3efiN2n2zEXaMJALC/uBk/eHI2LjZ1YXdhIzKTVdh/mi4N/8GTcfCWSfH9pZu4azThQm0HLjV3\nQaXwYhenjE4U44NXNXZygoirc6Jw5LsryLFkuJ6rvoHcdDVOlbejokGHlVmR2FNI60kdO38Nf/ys\nlC3fTYiSo7qpi12EllRpkRKjQHmDjl1o17XSGaxx4SNaPZ16A/oNRlQ3d7GdpdVBPnZ6VgRhiADI\n/Uf0ujylbkKT36AfGLQrxY0LD4CQfnLDFIW1uVHYY9EbW5MThWGBq7261i4cKG5mG8McLGlGcnSg\n4K68+4qa2U6j35xqRv484R3wbLuLPpsvrIMw2XyZWrgqwG/bxII5LzlaDj9v+nkbHuLLBtgKTjay\n9rmnsJHtZmursQc4L+k1mSmUW+Y26wDJZ1bl858fqmM3ZPgCz2Kx/fuKxUBXjwF7CpvYgOXeoiYk\nR8vRZzBi59EGdm7edawBKTEK+Mik+Pr4Zbaj9O4Tl5GRSHejvtjUxY7T39sDcyKIHMJkc/maHkPD\nZvT03UVpHe0nfHfpJkQiQDNrOq7euI3nlmpY3d0NizWoae3CqqwINGt7caqiHQsTZ2BdXjT+eaQB\nZfU6vLQ2EdsLLrKSIWEhPhwfY29RE+bNDkbETD9cbOpCdVMXlj0ehvTZQSiv13HK3K2bu1U1dnJ8\nYTIfEiaCTr0BpXUdqGrqQlbKDIhEgMlEYW9RMzykbnhi/iwUnGxkN9MznXQZJxAIBFeYMoG9d955\nh/35vffew8yZM1FeXo7Dhw9j5cqVOHLkCDIzM5GYmIjf/OY36O/vh0gkQkVFBX7961/fx5HT8ImR\n2wa/kqPluN1PZ8slR8tR19qNJu1t7D/dAoB2gD2kbpgdHoiGq7ew7PEwFJxssstQcpeIMWgcZoMv\nKzMjcPPWAHy8pNhT2IT4SDkoCvj8cB1e32gf9KTMFNzEIqzNjYK7uxua23tguDvMWTDsOFyPjCQV\nbzbIaNpARLNkamK7qM9Jo4NfKTEKtrQ1JVLO0To7XdGOJxeGIyY0AH/+Z7nDXe6ZQXSGRd2VbhiH\nKE7GW+ys6fjkYC1MZgruEjFu9w9i07I47C1qRHbKTHxykLbj3HQ1zl68joWJM9hmGS8+Hc+ey5SN\nF5a14UyVFhvzNWi8pse/zrRi+eNh2GvVBKaojNaWrLysg8RNhHmzgxAzKwB7CpvY8t3kGCXEYpHd\nIvSpjHC8tCYRigAZdh1rYBcgz+ZrsGGJhr2v1+RG4cSFNvZzY64NcBfFzGdPcAwFoLvnLpsVFOjr\n6bSLJudcngOFZmKYTUDvgJGdY3sHjDCbhJ07OGTC0LCZ7cQ4NGzG4JCwkx11Gp0MOxGLwP69Thpi\nEyYJod+5oy60ADBsBvYWNQPg6kTOjw/BN6fo15nncJ/BiAPFLWwg7WBJCzKSZvC+Z5/BiH6DEcWV\nWs7mR06qivf+ZDb0+ALPxiGz3fumxNASCrb3wuCQCZ5Sid3czJiro7/LdpwrMsI5mzEAmYvvJZ16\nA4oq6Ex/xtd1l4iRGqvETIUPggNlKK3vwNcnGpEWq0R0aAB2n6A3pldmReBScxcyk1VIipbjHSv9\nxgs1NwGMBLbd3UR2WfWJ0XJWdzc3XY3D52jtvezUmThTRWdx8jV3S4ySczZGhDZeIhD4OFnahnOX\nrsPPywNldR0wDpmgmRWA25aqLcPdYRwoaUVKjAIrM8ORFCMsy59AIBCEMKU09mz5xS9+gX379mHT\npk3o7e3F6tWr4eHhgTfffBM/+tGP8OMf/xivvvoqvL297+s4rXXLGCeUT8soLpyry3XjlgH7T7ew\nx5RUabH0sVmoaNChrF4H72lSyDwlbIYSo8uwNi8aX1my8ExmCgdKWmAyUfD39kRmsgoVDTpUNOiQ\nkaRC74ARG/NjRjROMiPg5iaCj5c7evqNKDjZCAB4Yflsju5D5eVOp3ojqbFKPBYfjMfmBLElMY5Q\n3oATAAAgAElEQVT+bqJZMnXIS1fjwy2L8cZzaThTpQVFUQ7LlRhNu71FzfjjZ6XITFbBXSJmd7mt\nNY4OnW2Fn7cHfGUeuHztFjYvj2N//9icYPZ62akzUVavwz8O1CB/3iwcs2guicUi9PYP4qdPx7OL\nQpOZwkffXEJCFJ3VxJSN//bHj+G/fjQPXfo7KKvXwThkgqeH/R6FWASszYuG1N0NZfU6fHmkAY8n\nzuBqsFEU5/0Ky9rgbckUrGvtwpdHG9jf7TzWgIuNOrbMLMDHw6meW/1Vvd28QODn9sAgmxXEZIPe\n5mmCwofM0w1rcqNYe1udEwWZp5ugcymKzuK8UNuBC7UdOH7hmuCgoFgMPJUZwc63KzIiIBb4RBWB\n7vbIjNk6aDEa1nqPjvQoHdGpN+DdnRXs3/uXXWR+fpBYmxuNra9lYetrWVibGw3A+TPXdm4D6OoB\nJkBSWteBoWEzfGRSDNwx2tnkwB0jpO5iO79C6i6GGLC778RwLDtCUbB7X4oCvDzs718vDzdQABuo\nS9EoUVKlBWW5lu3fxQQUbcdpXWJM5uLJo++OEeEqP2zMj8GidDV8ZVLsKWrCtoKLiJoZAAAwmYEv\nj9AyGSYzhQPFLYiPlKOwrA29A0Oc61U3d+G5pbS+5DQPN4SG+HJ8kOefiGM3ABmt3QTLBndRWRte\nXU8Hu63vk8KyNvzhlQxWfoTR3SM2QhgrrdoelFRpkRyjwKnydmQkq1Bu8T2DA2RYPC+U1WlOiJJj\nhsLnfg+ZQCA8ZEyZjD1rfv7zn7M/f/zxx3a/z8/PR35+/mQOySHOyldSY5WgKLp0kNECZBZgLdoe\nNNg0J0iIlGN/cQt7rc++rcXPVifg4wM1OFOlxU9WxeNSczfEPK1sY8Om4/bAXbud8n6DEWI3MZ5b\nGos7g8MQiYD0uGB8+q8aDA2b8ZOV8UjRKOlynhg5dhyuxymLxhhT6mNLdXM3qpu6OLvp1c3dyEsn\nu5wPAkxH29hZAey/mU6ul6/dwgvLZ+PzQ7VIiVHY2VOqRonyBh3cxCKkxdIB3f47Rix7PBwHiltA\nURTbCTnLSiePoiicr+1gRbMB4OuTjViVHYn9p1uQnToThaVtvFkgmlkBrN5jRpIK3567ApPJoj8Z\no4SbGLhy4zZefDoeH31D79j/4MnZCJ4+Dbf6BvGPA7WcTL5UjRKzQnxxsKQFCZHCyiYZRKIRvamK\ny52W8TejpqWLU2b20uoEp1mtBC4ms3156UIHWUS2UGbYZQLNi+PXYbTFiycAyPcaH2YzOFmae4ua\nkBgVOMpZNLTG3jS29Fjq7uaSxh7Junt0GW+XeUWADD9YMRuXmmiJgfgoWmKg+7YBYpHIyq5EcJeI\nIXWX8GbCmWF/32UkzWADfpySWwAhcm+sWxSNVu1tAEC4yg8hcm909RjsrjM3TgkJ7Et6RYDTTF6+\nTMHRKgwIE4ciQIa4WdPx5dEGqJU+8Pefhub227hQ28F+/l8ercdPn05gMzT5qL96CxsWx+CrE7Tu\nYkaSCvtONePfVsxBgI8Htv6znC3LFYuAO4NDdhl8MbMCsOsYfT7j67hLxEixPPNrWrrYwC+fjYSF\n+Iz7XiM8OhSVteHqzV5I3d0gk0qQECXn+Lv7i1swNy4IG/M1CA6Q4dIENikkEAgEhimdsfcg4Khz\nKBP8kriJ8OLT8fjVpjQ7R7K6qYvNxJvm4YYMHp2FjlsG/PyZJKxYGIEvDtdDOV2GvUVNnB3u3DQ1\nxA5WdyYzhfAZvvj6xGVcvdGLUKUPvjhch5hQWk/vo/2X2GMjVP7ISFKBoiiHmSCMAxQfKefsmjNZ\nAuPJJiFMLkyADxjJ5HthWRy+PEo3nshKsbfHxGgF1uTSmkxl9SOZpQeKW1jHmnGWra+/dEE41uVF\n2V0vONALKTEK1gGy7dKcm6aG/vZdpGqUSNUo4SYWoaxOh5qWbqxbFA13NxECfDxx7uJNfHKwFm88\nl4ZfbUqDVtePP3xWhg/3XmIzDRmSYxQ4+v1VPLkwHM8siuLYa166GjWWjr1x4XK7LpTBgd6czDJ9\n7138YPlsPLkwHOEhPvhwy2J8uGUxUmODSIdcF+DZq+B9jY8hk9kuE2jIJOyzD/SXYeOSke94w2IN\nAv2FzVd8Gx+ONkP46NLfwb6iZuwrakaX/o7g88aTdUfm54cT2zkTcPxdd+oNaO/oY+fv9o4+dOoN\nCPST2WWvBvrJYBwatsuEMw4NY9A4bHffDRqHOQG/5BglDpa0wGwZj8xDwr6vzEPC2p7tdQA6+M2X\nTe0jk2Jd3oj/szY3iuj5ThE69QZ8ebQBGckq7ClswvaCi4hS2wfHyht0ELuJ8PwTsTbP3i7kpqkR\nNsMXB0pa8MMVc7AqOxJnLl5Hn2EI/zhYA5WSrtBhbKa8QYdrN/s4VS0vLJ+NQ2fpcsfXLaXpigAZ\nNuZrWDveYOkq7Ygdh+tJ5h5BEJ16A653DcBdIsZ31TewreAiW6liTUKUHJ5SCa7euI05kXLy7CUQ\nCBPOlMzYe1Bgur+tzIzAgRJaJ4/pHPpBQRW723yhtgN56WoYh8zISVOzHXCzUlQortRi7uwgRM7w\nx7bdVXYNNg6WtGLZ42GIDPGF4e4wrt3sQ2zYdLTp+pCioTMCi8rbQVEUXt+YgqezI/HN6Wb2/Ol+\nnpgRKMP7v8pjx32732gnwM0wEc0vXBUEJ0wN+gxGfLCnGiYzxTaxWJUVgf3FIxqQOw7VYdnjYThz\n8TqbLecmFjkNBgP0vSL3l2HTsjh8cdiiqZemRmt7D5JjlGzTCabc9leb0lBU1o6SKi3+z9okrI2g\nbZLptPt44gx8ecSq87NYhLtGE/78zzKsyo5kS3wBbqZhbhqt/TN3djD2FjXjYEkrnn8iDulxQVAp\nveE1zR1/+6YacyICUd3cjW/PtuLfnpqDoAAZHosPQYu2h5MVcrK0DXrNIMotnfes/3bSpEA4nlIR\n1i+OxtcnaGmAZxZFw1MqLEjmxiPK7yZwy6rjVj8KCkc6je4pakR8ZICg70riJsaiuWpORpFE4Btb\nlxMCtI1a64HdS8j8/GDgiiZccaWWteGSKi2rGcb3XfcZjKw2KEDPYU8uDOe9bp/BCKm7hNdWh4aH\n7RrPiMXcUl+A9jGYRmF8zTbk/jK7e1/uL0NXj8Euw6qrx4BpUglglVkIkQgDBiPCeDQImb+ZzMWT\nh22mUsHJRo4fkZtGd54HAH8vD/Z7VARMwzOLY7Dbor83Pz4E/zhQQ59jaYZFURSMQ8Oc73NlZgTE\nIhH+dbYVqRol24xA5uGGD/ZUo8zS7T5uVgB2Hh1pQmfdjMWR/nBFg45kdxJGpbSuA25uInx5hG7i\nZTKa8OXRek6TmPWLY+AhccN0fw88nhBCbIpAINwTSGBvnMyPD8Ghc1eQolFCMysAqbG0EGpClNyu\nfMXPW4q61i58UFCFu0YTCsvoxgVL5obi/31ygdYGKW9HqkYJdbAP9p+ms6AOFLfgJyvjsSY3CgdL\nWrA2LxoNV/WczqQSNxFOVWhR3dSFHz01Bz19g7ja0YeSKi3e/1WeSwEHZ80vGAdo+x5uENL2OuSh\nNXXhWzAWlbXhys1eu2OtS7NEIhGrhfPGc2n48z/LAACvbUjB+sUxdtdksBasfuuFNLuA9Pz4EE7Z\nzYqMCLy/uwr//bPH8eLTCew1FQEyvLw2CWeqtJyFQ6GlUYaz0p7kGAXCZvhC5iGBh1SCbyzalimR\ncnxxuA4ZySrss4jPr8qKQPdtA0qqtOgzDOFv+y5B4iZiu0TbQlFgs1atFwEJkYHY+loWu3AgOMZT\nKsXeomY2OLHvVDPmx4cIOndwiLIr5bNuXOIM47C9cL9xWJjIntRdgtMVIwGV4kqtwwAJH7ZBC6FM\nRGfb8dgjaUJw73HUdZ4PZl50ZA+23xPfhp2PTIp+g9FuY5EpfeWzVXeJBMcvXMMPV8wBAOwtamTL\n520D3gDd/daWrh56w8f23l8ybxamSSV4KjOC7Wi+JjcK06QS3DEOY/eJRnb+r2jQIU2jQKfegJ1H\nG9jr7DrWgKxkFRQBMhLMniQUATLkpqnZzsQAvVk3Q+6NFI0SocE++FdJK4aGzUiPC+JswFU06JCq\nUSI+IhAz5F7YfXJE5oCR0PDz9oCHu4T9Ppvae3CmSotguRfefC4NESo/NiuV2aQEaB/hdv8gEqLk\nuFDbweoHM026mHssLMRHkBwNgQDQz8Km9h6UX9ZBpfBmuy0PDZtxu9+I5uu38XR2JKb7emKaVAKT\nmUJ6nDC/hvDwUFtXD33P7VGPu3bt2iSMhvCwQwJ744TZyb5Q24GKBh3yLGUw2Skq+Ht7cJzb9s5+\n7N3WjLx0esdyaNiM8gYd1MEjAqrMa5TlZwaphxuOfHcFKzIioPD1xGCwD/y9PVgnnHbI6Wt+fKCG\nDXQw3RaBEYfWmZMrRI/G+nwmM4A4yw8GfAvGTr0BF5u6UFyp5SzsNi+bjb/vv8QJHjOdZmNnBbCB\nLmffva09FZa22wWkly2YBU+pGIPDJlAU8K8zrTAOmXgDYozzXWa1cABonTEmY1AiBufv2LiE3jWd\nHx+CgtIm9jpnLl5HaLAPRCLYaaG06fpRXq/jZAoA9ALYetFqnX0AjAjH2wfHyf3hDEdZPkKwFuVn\nzhXaAEMqEdll+0klwhZzPjIpslK4GmBCx+wjk9oFLVzJkL5fgQpXAk6EsTEWTThmXgRG1+BzFhh2\nlPnnyFYXzQ1ls6qsXz9XfQMrs2j9yOPnr2LjEg1EIvuAn0jkuEO0j0xqp2G5bEEY+IrsPaS0K2t7\nHdu/m3DvocxmTgbmUxkR+Gj/Jdw1mlB5uRM5qTNRWNbmUBs0bIYvVAr7hnihwT7w8/ZAuMofnXoD\nztfS8huZySrsPkHb5ublcWxTGT5y09SoaNDZ6Qcz9xgjR1PRoCNSBQSnMM/CuXOCEBLoxW4MM92W\nn5gfhoNnWkFRFF5ekwgPqRiZKeR5+Sjyh217cMM4ekB3oOcmPLz8JmFEhIcZEtibYOqv6rH1izKs\ny4uyK19Ji1WyWjHWpYGHzl5BbroaRZZAxDOLouHhLmEbBuSlq9HRbUBitByZSTPgLZPC01OCoSET\n/L09AAAHSlo4gUAm0LFpWRzeeq8EQ8NmzkJsvM4KcXYePBwtGJvbR8pLrTNGh4ZNdg1gxCLXMoT6\nDEZ2FxMA/Lw9bIKHcfjvj88DADbma7DjUB3cJWK88Vyaw2tGqPztFqa2QY648ECsyKCzp956r4Sj\nCQnQ9+PGfA12n2jEukXRnAwDYCQLj8kUmB1hnYknR0/fINzEIqiDfdgyZOZeS4iSc4KXRKx9dBQB\nMjy7VIOdlrKVjf+fvTeNi+JK+/5/vYINKFs3agvI2qCy4xJlEVRcYmLEPcYkM4lZzGQZc2dxMsnM\nnZlP8p/kH+/JnUySx2iemYkZd0yMM26oqMRdkCDKIohiK9BAo0ALTXfX86K6yq5eoIBuFnO+b/xY\nVNU51XWdU9e5zrVkdZ3/yBKxyNZgIOZX/wIydyn2n6pmjRAHTlcjhWfRDrmPDCP9PNiq4CP9PHo0\nLqyNFilxo3skI/0tT6QIweDAnsdkTw2u9oqvOPL802h1dg1sLTo9fjxRxd6HKZ4RqvTGgrQwNgRt\nhcVYti7O4TeCLtph7Smo7zSgxU7ayBadHqF2Qm4ZYyYJuR1YNFod1m8pxOSYkViQHgaKAmqb2ljd\nlEm18eyjE9BpNCIyyAdbD9FysnB6ONo7DKBMwNc/XOJsuKzIUqHq1h2EjBqOI+drkF+kRkFpPRJU\nCs53ffO+K0iIlNvoCBlJgYgN90dqvBJRwT5o0eltNgcZiHcnoTssv4VCCLDneBVHt/zNknh88+Ml\nUBSFx+dEwWe4FBPH8dMrCA8ebsNkcJf6dnueoZN/rmUCwRHEsNcH5D4yvLY8AScuqgEAU8aPxJe7\nipCgUmCEp7vN+Zb53McEeCFopBcOnL6OcSF0/rCJ0QEYJffE98cq8afnp7CK0f5T1dB3GvH2k8ko\nv6HFlznFAIBH00Kx72Q1jCYK6YljWMPgjIlBmDlxDBZnhuNP35xFu94IgN9CzBlhXoTBi8xdjFmT\ngwEAxwpq0NCsQ3lNM/t3xmNUIBRghIeUNXhlJgdi/FhfhIwZ0a1nEbPwLKlqxF+3FrLXt+r0OHT2\nBqea3ZXrTWjXGyERC1FW3YQPXpyKm3Wt+OQ7Osz3teUJGB9qq2TzUb6ZfjoqYlF2XYt2vRE5R6/i\n0bRQ/GgnBxBAj9WcoxVsPp7pSYGcPqXEjmbz/xlNFAIDaM8ZJiSD0D1V6mbsPHw/192uIxWYGB3A\nryqhAPD3GYbHmAqzUhHAM4JKADpf4w/H6N32mZOC+F6KKnUzduddZcfT98euIilKQSopEvpEV99g\nRx7XG38oZissb9pTzPnOWxsCmeIrliGQ480bF45y8lnTotNDAPtVa6vUzdh5pII14O06WoGJ4wLQ\noTcgr+AmJphDeo8V3kRm8hi4ScU4fYnr4Tc/JQReMilmTQpC0912AIDvcHd2Tl+UEYGESDkArodi\nd9EI9o4TnMflqkZIxEJ4uUtYD6aZk4KweEYEdh2hPfjSEuiq8jX1LRAJBXh6/njcaenAkfM3MD0x\nENW1d6FrN+Dgmet4ev54Vk/4qeg2OjtNuGA26HWHdb5oxkgN2N8cJKlkCD1h8YwIjJHL0K6ncKak\nlvO381fqEBXsi5hwf4wYJiFGPcKQgjKZcO3aNd7nh4WFQSTiuZtOcDnEsNdHTBTYnb9J4wIwLXY0\n8gpuIsBnGGfHcenMSOzNr4JYJMD0pED8eKIKw9xEeHhaCBuykJ0RjoNnriMpWoGa+jbcqG1BaXUT\nfjV/PDyHiSEWCzh5Q348UYXlWbSXy09FaizPUqH61l0oFZ54+28nAYAN+wWAhEg5WnT6bpUWsmP5\nYCL3kXE8KZbPUiHHbNBgPJ4kYiEWZUago8OAnLxKzi5kXLi/TU4aaywXnrMmBSE5WgEIBGjV6TE/\nJQSXqhqhCqZ3rkqvN2HW5GBMHh8Aby935J69gbPmQjNMleefrzawxkF7+R7tYdmHtSsS8MYTSai6\ndQdBIz2x5/j9Ijfny+qRHB2AogoN9p+qZvPhlVQ14uiFGnas7j9VjWmxox0+u2U/0hPHsEYiJiTj\nhew4Mo54IBELEWROS1B+o6kH1wkgFglRUUsbqKNDfCHhGU6r1xuQa5Hn6fC5G5iVPIbXtQLQOVYt\n3zdfo2Co0htPzovGt2avo1UWXkeDFbLp03/Y+wY78pgEgDkPjeWEyjLkXajBcfPGY1q8EtOTug8F\ns5eTz9qjzksmdVgAxpHBTyCwc1xAj4XFMyJwt402IC7KjGDHgsJPhkazYU/hJ+P0zdEGU3d5XkkI\nuWvQaHX4fGcRVs5R4bv9Zazx7XjhTaxdkYBPXk1Dh96AH/KrMNxDitH+HvjhWBVOF9ciMzmQLRZn\nNFGYOSkIJhPFhnnPnBgIiVgIkVkvKKrQICM5ED8VcdOHLJ+l4syjch9Zl0ZxoucSesOJi2roOwwQ\ni8W4UHyTI4OPpoaiXqtDSrwSCh83jA/t3ghNIAwm7rVo8N6GBshGVHZ7ru5OPb798HFERkb2Q88I\nfCCGvT5grWh/tbsYydEBmDctBAIBOAndd+ddxaq50WjvNGJHbjkbuvd/LAx1e/OrsPqxGAgAnCmp\nRWl1E+Y8NBZf5fwMAHh8dhQkYiGMZg88AKisacabq5IR4CuDAMDE6ACs/etxjrI9cVwAPIdJceR8\nDS6Yq3d2p9gSRefBo0rdjC2WVeFyy5AUpYC3l7vZSDESwSNHYMuBMiRG2Sojxy6q7YbhMbvgANjx\nIBELYTRRKKpoYBdzheUaLM6M4IRo7TxSgU6DCZnJgXCTijAuxA93WjuQGKWA0UjZ5MEZ7T8MFAX4\ne8vsyigzJoVCARKjFKhU38EPZmPerElB+K+VSYgM8kFJVSPOldC5mDKT6TAdZkEwPhT45NU0qDVt\n5uf0t5uPh4FZPLyyLAGffHeBM/Y+eTVt0BtsBgNeMinmp4Rgey69ybF0ZgTvnHOdnRRua9pY71Jv\nTzeoAvnlKbnXaeR1zB4UYFMgiQn/5oNAaFGYxlHCqS6oUtOGzP6Ur74shonHVM+w9zvZK2LhKKyb\nPqeRvbakqpH1NLb2hLPEWq7kPjLEhvvjTmsHACA23B9yH5ldTz4A8JRJbQx+K7JU8IT94xqtDq26\nTtbDKzsj3HxMbzOur6mbEaL07pGhjoSQ9x8ydzFkblIbA+69DiM27y8FAPiPcIdQIEDOMW744mPp\nYYhXyXG6uBbNLe04f+V+OovD5+m/hwd6w1MmxdELNfipSI1fPTIeBWX15jQ3tHdoZnJgr3JHEwhd\nwXy/qm/dQXXtHQTKh+P/30xHlsycFIQkc9oaiViESeNHormtAxk8NlIIhMGIbIQCnj7Kge4GoRcQ\nw56TCQ/0Zg0j1omcC8s18PFyw4rZUejsNOHc5ftVPCViIVLjlfjbjiIAtDK0cHo4vttfyiojWw6W\n4tkFE7Dxh0sA6J3z6GAfdHYaWW+i11fa5iZbmB6GdV+c5Cg1Y0d5EYMDAUYTvZOdHK3A/GkheG/D\naRhNFC6Wazi7kI+k0mHflrTo9CgorWNDw9csimX/FhdBJ6e2zIGTEObPMSxuPVTGFnlhct5tOUAb\n/R5NC0VtQxunPYlYiJPFtazXnaMFnUQsREq8EndaO9jqtwCQe+4Gmu62Y5S/BycUjVlgAtxd/deW\nJ+Bvb2TazcfD5NK07EdUsI9NX3pSEOGXTEOzDttz71e63HGYDn3ms/DqNMDGYDAtll/oi0gosPFG\nEvE0sjnyTOJDlboZ/9h7mRMOGWdhXO6OXUcr8O1/zN5+3SSMdza9WQwTj6m+I/eRYXmWivPeuzKw\nter0MJooTjqFVp0enjIpTBTFzmkzJt5/F47kSigAW+SLGR5eMqlN4RnGk88aJhzSHjfrW2wMkzFh\nfnCXimzG9axJgd0aaYgBeWCQ+8jwQnYsjpyvwbnLdZz3FqYcwZFDe9ysb0WY0htF5Rq7xY+u17Zg\npK8Mpy/dZjfMC0vrOW2RKrYEV2D5/Vo4PQzjxvrjq5yfOZ7+iSoFxoX4oexGE3yGuyElhoTfEgiE\n/kc40B0Y6syYGAixSACxSIAFaWHYebiCYxhh/jZjYhCEAqC5pQO+XlL860ApLpbT4QRikQAJkXIc\nPkcrsUyBDV17p017FAUsTA/Hm6uSsSJLhXiVAuu3FLLXfba9EC9mx7Dtvrw0Af7etgru5v2l7IKU\n8OCj0ergJZPiqfnjWNlYPkuFkqoGUBSFKRNGY5T//Up0TJLrT15NwwcvTkXu2RtIiVey166cE43t\nh8vZ0HCjicLGPZewIC0UYpGAXfyJejDDlF3Xsvf68UQVsjPC8MqyBLbNRZkRbJJiRtYtvQWB++GC\nR8/XdFkZVSIWIjk6AMnRAZCIhSi9ruV4+yWoFDhxUY1W84LUsh/PLpjALiwt+8G0bTn2yOKSH0xV\ny+6O2UNiJ7WHvWP2oCgKIqEAiSoFElUKiIQCtgJyd7TrDazhgZmz2/UGfg33gSp1M779zxW23c37\nrrBeVoMRS0OMo3FL6B6NVoetB+kQxwSVAtsOlbHzuqWuwYTKdiWflroGowc4kiuNVofiykbcqG3B\njdoWFFc2QqPVscUz4iMViI9UYG9+FZt7z7o/AtBz85Pzotnjq+bShkl7hnSRUNCrOeHI+Rqs/iAX\nqz/IZZ+LzMv9h1gkYI0dllwoq+fI4Sh/Dzxq1hUYGaFARxE8PC0EIpEAy2ZGsn+fnhSIi+UafLW7\nGM8/FoOL5fW4WF6P4Z5umDExEMPcRJg0LgBrH0+y+26JDBB6i/X360ZtC85errU5LzM5EDI3McLH\neMPDXULki0AgDAjEY6+PiEVCNpzKy0NqU/3rlWUJOFl8C6AoXL7WhKwpwTCZgBGeUjTd7cAxcxXS\n2Ai5jVeQWtOK5bNU2JZLezEtmREBD6kIk6eOtdmdZug0mJAYFYAN6wIA3N+1tsyNND0pEMcKbqKw\nrJ6EI/wCsPaWWf9qGijQoVbWVZIt5eSF7DiEKr2h0eowc1IQDp+7gcfSw6DwlSHnSAXmp4ZB32li\ni0R0Gkzw9JAiQaWA0BxqXn6jifWIKqlq4Hh4rJwThe3msPQXFsZg454STr+3H76KtHglNqybiZv1\nLfiPlccgQHt6WfYfAOs5x+ThybPwxlIqPOElk+LZBRPwj39fRtRYX6yaOw6FpbXwHCbG4swItOj0\nOHD6OgBAqfDEvpPVeHlJHNY+noSjF2pwscJxUQySt6d3dFXpsjvcpSKbqrjuUn6WPRNF5/5iEAjo\nY3zosBOya++YPbxkUiybFYntueUA6BysxLuT0B3WHqIMJy6qWS+m/CI164HsDBx5/nnJpDZRCYwM\n/1yhwUtL4gAA2w6WsSG3txvaWH3pdkMbNFodYiMUHD1n2UwVYiMUKK1usFstV+5jv/BBV558ZF52\nPRqtDvkX1fAb7s4pRvVISij2narmnKvWtOJ2QxsenxOFsuom5BepMT6UDjE3UUCngcLen6qwdkUi\njhbcxLGCm+g0mCAW0ZXoE1R02OOJi2okRsmxam40Nu0pwYXSeja1hzVEBgi9oaJGa3Os+GoDR7d8\nfHYU6pp18JBIkJFkGwpOIBAI/QUx7PWRA6evs4rkpcoGrH7sfqjsnIfG4uvvi7FwOm3MsExwvXyW\nCj/mV0LXbsAITzdszy3Dooxw5JiNHhlJgRjhIcX+09fw3jOTAQBjFF427fNNaJ6ZHIixo7yweX8p\nR0kiPNjYW+xsWDeTlRFrWWHkBODmWFKZjWW78yohEQvxSGoom9iaKRKxfFYUthwsZaswF5Vr8N+r\np+C9DafZReeB09V4c1UyDp29gZyjV/Hy0gREBfuw/fhqNx3Wa2l8/uTVNMjcRQgeNRxe5te8TWAA\nACAASURBVPw6AG0MeW/DaXQaTJzwPssx8ZN5kdveYYS6sRW3NK1Y/UEu+ww5R6+ioLQej6aF4oO/\nn0NqvBK+I9zhJhVB127Ajyeq8GhaGPKLbuGsOeRHIhZyFpwvLIzh/IZEqesd8hHubGVP+QjbquKO\nuNdphFBwP1+dUCDgnSdPKffCcM8mNN6h840N93SDUm47z9pDJIRNKCJfD9XaxlY03Wln+9x0px21\nja28ZKcvRtCBgBTdcB72ctQBtMHP0gAG0HlIreWTyU3q6H30pEhGm07P0Vmyp4ejTafHWKU3ZkwK\nxufb6bQiy2apIPeR4cq1BrtVcZkQ48ggWoYTo+hNScZwY2mwnDWJfjahABbjnd9vR2TO9eg6jDhZ\nXIvEaAWeengciq824PD5G8jOCGc3MbKnh2PPiSp0GkzwkkkhFAqQEqdEfpEaj6bSBkFGPz1epEbI\nqOEoLKtnPe1Cld5IiVPiq5wipMQp0dzagU17SnjlzyMyQOgJB05dw8Y9JZx5MTzQG95ebrRRWaVA\nYpQCfiPcYDCYkBJPUkwQCISBhRj2+gDjLcTQaTBBIhJiyYwIhClHIPd8DXTtBtxr70TWlGBOHplt\nuWX4zZJ4dBpNuFLVgBcWxuH8lVqsmhsNmbsYBWX1bEXNBBWt6DrKU8R3J5JRiCyVJKLoECxxJGOR\ngT74+NsLbK48S1k+eqEGH7w4Ff7eMvzzP5fZe3UaTPD3luHFRXHsIvLZBRPw2faLaNHRYebr/3UB\nG9bNxJHzNdi4pwQJKgVUwT7IOXqVVe437y9FaXUTFmVGwGe4G379yHh4yaTY8H0xu0j8KqeIU9CC\nGRMNzTq8t+E02vVGJEcH4HBxjd1nYELKjl6oQaJKwTHC19S1QBXsg7PmnJiWYcpqTRv+d1shOnOK\nSe6wPqDR6tiUAgDt/RMdws+b2GgCDllUthWLBHgodhSvdtt0eojFQsRFygEAug4D2nhUDgcAkwnY\nf6oaj6bRxsgDp6sRF+7X9UVmDEbKps9TefYZABZlRCDB3OfBbNRjIN4yrsWRx55lAa+9+VWY+9BY\nAPYNYy06vc195qeEoMNOeDlzbI/F/X/Mr0JytAI/V9Rj26H7uVS355ZhfIgPvGS2RRXczaG19nL7\nuUvFNgZLd6kYGq2OkyO1sKwe40P9iAF5gJH7yJCeOAbDPegiKYWl9ViUGQGBgJa9Belh8PFyx+Z9\nV9jNv6MXavDrRyZA29KOmDB/hCpHgKIoNvz25M+34O3hZiOrmcmBCBnlhW/3lyIwwIv1JiUQnIVG\nq2NTzeSZI6viIuVsuoK4CPr7KxGLYDCCGPUIBMKggBj2+oC7VIwF6WHYc5yu5jZzYhAKy+sRPdaP\nrpYYKYe3hxtualpZxcSSmvoWfJ9XiSUzIrDpx2JkJgXh8rVGCIV0/rPVC2I4IbddJYzmq8CSBdYv\ni+4WO5aJxi1zzMVFyPFTkZp3qDaT+8ja44M5JhELcfRCDf6+9zJS45XIM3uNAvSCkpHtc5frUFhW\nj0SVAgVl9XgkNRQHTl83e89V4rkFMSi/2YyrNVpMmTCKs0i8cq0R67fQz/lidgwSowIQHeKP5Vkq\nbN53hbdnB0AvIJjFxbGCm7hU2YAXs2NYj8IXsuPgJZPik++O8/IUIHTN7YZWu8f4/Jb2HI/5OiPf\n0XVA06TD4XO0HM2YGIg7ug5e1w6TijBlwih2/s9ICsQwniHAIzzdeB3riqEWukvGRd/oai5n5jiA\n9uBk5nPrUFkADg1jTDEYy/lbAGCYVGzj+TdMKoaHnVBcf28Zbta32PTdaKIcVpGuUjezuQMBYNuh\nMtZobc/Q2BX2PM4J/YcqyAefbi3EwvQwVNe2YNuhcnaD7kZtC27WtdiksWjXG7A3vwqp8UqcunSb\ns7k3LsSPswFiacS9XN2EgtJ6FF/lpvggBl2CM7hy7X5F8U6DCQVl9UgeF4BOgwlGE4XzV+ogFgmQ\nGKWAKkg+gD0lEAiE+xDDXh8Qgl5cLUgPgxACuLuLkJd7E8PcJMgvuo38ott0mNRob3QaTFgyIwI7\nj1QAoJXjf/90DUYThZ1HKpCoUsDNTYTzV+idxykTRrvM+4coPb8srI25jDGvuLKR450XE+bHVpQ9\najaYnb1ci0njRnIWlSVVDViRpcLWQ3ROJCYUUKPV2fUc0Wh1+OS7CxwPP8Zw9/LSBLsGiuRxAaAA\n5J6lw3gqbmghFArw0eYLEAoFWJGl4lSMPnqhBi3mXFAAHdKboKpDSpyS9W7SdxowdtRw5ORdRUlV\nAyevU0YSHU6ckRRI5/AJ98f12hY2bJ2iBDa5K0kBAOchlQhtjMJSCb+4Vm8PNyybGYnth8356mZE\nwtuDn5HMZLpfSACgPVZT4vhVs5NIxJCIhUg0GyQkYiEkEn6f1FClN56cF41vzcaYVT0MpyVVZn+Z\n2NuYY4pqMPPutkNlSItXOjQEOpq3PGVSeqFqlmexSABP89zsyPPP2uAH0ClDrPNHjlF4ofGOzsZj\nT99pgJtEjOmJY9B4lw6HT08Yw1aXtmdolPvI8NryBJy4qGbPYX4LMi4GFrmPDC8tjsPJ4lsYo/Bk\no0OWZ6nQ3mHAv3+6xsmHuiJLBa9hUiRF0YWLzpbUodNgYjf3HHHiohpff3+JLmigN2JvfhXeWpWM\nsDHeRL8l9JkqdTNa2jo5jhsLp4dj26EyTv7IFVkq/OtAKSaNGzmQ3SUQCAQWYtjrA3fv6XG7oZX1\n9shMDkRchD8nH813+6/g2UcnwMNNBDfxMPz6kfEABNhysBS69vshLmnxSny+s4jN4fVTkRqj/IYh\nOoQONSRhJoS+YL3wSYxSoKC0nuNt9smraXhlWQJrhJOIhSgorYem+R7Gjhxus6icOI42clnm4rMM\nu+1qIblyThReyI5l/26Zm/KRlFB8Y86Zk544BlsO0Ma3J+eNQ2GZBhPC/HGlusnmntbV+Cjqvhcd\nnSsK2Heq2iJ0rBIL0sMQMcYbkUE+mDWJDvUKMT9PV2HrzDORMekcosb6o7iyiV3MjfL3QNRYf17X\n3r2nx/7T1Xh6/ngAwO68CkwI8+V1rcSOa5+9Y/ZgPJBmTQ4GAOSevY7ZU4J5XQsAvsPdWS8l3+H8\ncwp2571NeLCx957teeYB9g2BXekSch8ZGsz5JuU+si49/yyr4gK0wS8lbjS8ZFK0tunxq0fo8VjX\n0AYAkErEdnP1AbApzgHQhsbTl26zoe65Z6+zIcYmCmyxsWlxSgBkXAwWTBRwtqQOErEQj8+OAgDs\nzruK2Eh/rFkch59+voWkKAWMJmDnkQrERcqRHBWA4qsazn2CRnpBKBRgTIAn9hynDSkvL00AANbY\ny9BpMEHhKyPvmtBnDpy6hi9ziiERC/FidgwWpIfhZl0L/v3TNUwI9UOAjwwTowOQoFIg52gFnnk0\nhsgdgUAYNBDDXh8wmigcL+SGlsydGsJ63TGMknvgw7+fY/MySMQCPDUv+n5Y38IYjAv1o3P0iYVI\nTxyDo+drcKG0ns03A5AwWkLfsFz4UHYqf27eX4oZ5kWVRCzE9MQxOGKWwxkTAzE+1I9zLy+Z1KY6\nM9+FJGMMZAyNMncxXsyOxZmSWtQ2taHTYEKCSoGjFgvBb/ddxtrHk5B3oQY/W1UlWzIjAhKJCJcq\nG9BpMLEhtLRxsg5f5hSz/cuzKB5z/XYLfjhWiQ3rZrJGdAZH483SK+S15QnYsG4m5xzL8GYCf5bM\niERBKW08YBLo80EgAJKiAjjFXAQ8Q3HFYltPQbGYn6egEODkYszOCAfP2hld5gkjEHpCd5t+jopp\njfIbBgDsvFelbsb23HI2b+mOw+VIilLYLdbiSE6ZYhsHz95g71NS1YAZk4LsemZ7yaRoaNbZGPxm\nTQpEiNIbizIjOLn3uqp+Sxh4LN+NUW/EjsPleGJuNGZNDsb+U9UQCwQ4V1LHvrthbiKM8vXAl7t+\nBkCnQmjR6RE2xhv7Tl7DslkqXCzTICk6AJSJYt9zaXUTVsxWofy6FsWVDZjz0Nghl5qAMPg4+bMa\nX+YUQygUID1xDPJ/vg2A3nhjwnGnJ47B8iwVvGRSJEcHkG82gUAYVAwqw95HH32EgoICGI1GPPfc\nc4iJicEbb7wBiqIgl8vx0UcfQSKRYM+ePfjnP/8JkUiEJUuWYPHixQPSX5EQNqEljc06m4Xih+Zq\nm3kFN9m8DKsXxHDC+gDa++enIjXHmLF53xUkRMo5XlEEQl8pqtBw5NQ6l9yF0nrOYuvI+RrEhfvj\nsx1FHJl/bXkCTBTshj9ptDq06PTwkkkdhpAxi4AWXSc27rmE/++lFHOS9TGoUjejsIxrJI8K9kFU\nsA8KSuuw6ccSJKoUiI9UsB6wj6aFInzMCPyf3cWgKAovL010GAY8Y2IQmlvaWS8xewY56/Fmvaj8\ndBu3yjAJBes923LLWO/MFbNVWDZTxes6AWyrhc5IVvJr1E7lzaxJ/N6ZCXSIIrOxw3gsuRrivU2w\npqebfvaKVTA59iz1GQG6DvV9fE4Uiq82AABWzI5i27a+D2N0sRe6y+RntcTNXCSDSVQP0LpQWrwS\nLTo9JGIhEiwMhy06PUKV3mRcDCIkYiFS4pT4Zg+94bJ4RgSEQnDCGxdlRmDLgTKOnpGgUmDn4Qos\nzojAN3tKEBPuD1WwD3uN3EfGMfgun6WCUk689Qi9R6PVofGODnda6fy6iVEKmKy8iJOjFQhTeuNf\nB0rx/vNTibwRCIRByaAx7J05cwaVlZXYunUrmpubsXDhQkyZMgVPPPEEZs+ejf/5n//Brl27sGDB\nAnzxxRfYtWsXxGIxFi9ejKysLAwfPrzf+2ww2S4on31sAgrLNFiYHo7q2rusd5B1XrGudtEvkApf\nBBdgaRCgKAqx4f6YnxKCzftLbXLJBY30YqvAMlTdvosJYdxQ8xMX1bhgFdIbE+bHyd+XmRyI2HB/\nTE/q2mDSaTDBSyZlr5WIhXhibhS+218KgBvamxgVgMSoALTo9Hjr83y2yt6PJ6owMToAf3p+qsMd\n/JVzopCRHIjCsnrWu/bERTW2HCxDp8HEyyAnEQsRFyHnFOQgoWC958q1Bs4Cb+vBMsSG+dl4UdpD\nb7B1P7V3zB4CgZ08Xjy9/exV+eTrNSL3kdnk2OuJnNirakr4ZcNXfqrUzTYGs4RIObxkUht9hgl9\ndVSEo6a2hV38enu6sZsj9u7TVejuzElBOHzuBgBgxkT73n0MQgCPpIba9ZQlUQ0Di6WOkRApZ+VA\nIhai6U47jpyvYUN0pWIhSqoabe5BUcCEMH/sPFrB5vstKK3H8lkqtqCBpfxuyy1jveYJhJ7CbMZO\nHB8APy93ZGeEg6Io7M6r5MxhT88fj+/2X0FMGL8UIQQCgTAQ8I0ccjmTJk3Cp59+CgAYPnw4dDod\nzp07h8zMTABARkYGTp48iaKiIsTGxsLDwwNubm5ITExEQUHBgPTZZARk7nTFuOyMcMjcxXCTiHDm\nUi2u195FQWk9pwLYyjlR2LBuZpdGg+gQf6yaFw2xSACxSIBVc8eR6m4Ep+EmEWJBehiSLfLjpcQp\nQVEUxCIBXl1G57Bxl4qRmRzIymFGUiDUGtvKpfawrHJrNFHIL1Ljeu1dVKmb2XOYBeBryxPYNpj8\nOcy17XojtueW45NX09hxc+R8DVZ/kIvVH+SiuLIRXubKjJYYTRQbJswsNCzbCFV6QxXkwxZNMJoo\nfLvvCiaE+cNoovDZ9kKHCeaZxO0zzOGeFGB3cULoGUwaguToACRHB0AiFtq8V0d4e7ph1qQgTBoX\ngEnjAjBzYhC8eVaYNVl47MVHKpBfpIaJn00QwH0DhtFE2eR96gqNVof6Jh0WpIdhQXoY6pt0vIux\nMGG85y7X4dzlOny6zbG8Egj2sB5rXcHMecz4enUZvcHSotOzVW4TVPTYadHpu7wXYyA8f6WOM759\nvNzY+/h43R+71t8ggPaUzTl6lR13u/OuwnKmYOZ9wsAQE+aHN1clsxsPABAXcd/I124O0b3Tpkdi\ndACyp4ex73jJjAhIpUKEjPLCwykhyL+oZt/zttwyHCvsXsYIBL5otDrkF6mRPC4AcWFyeMgkuNXQ\nBt/hw2zmxeKrGjbNC5lfCATCYGXQeOwJBAK4u9MJxHfu3Inp06cjPz8fEokEAODn54f6+no0NjbC\n1/d+YnRfX19oNBq793Q1EgkwPyUE23PpSrdLZ0agubUDYpEAqfFKTItTsmEhLyyM4W2gW5QRAf/h\n7jh2UY0tB0vh7eVGQvoIfYZJCgzQC6YvdhVhfKgfx8uhuLIRqz/IpXfV50Rh4rgAKOWeUMo9cbWm\nGUcu1HBCeC3lXCIWssY5iVgIo97IhuPszqvE7rxKvLIsAUIB8Net98NVLXfbmTAro9kDj/His5db\n6aucIvzlpRS8tCgWp0tqAdAJt60r49nz4ii9rrX5fUJGeaGoQgPKXgJCC8aH+qHq1h0UnL3vqcLk\nRyOhYL1jlL+njRfOKH9PXtd6yqTwGzEMh87SHj/LZ6nYap7d4S4VI2tSEEb6ewAARvvJ4G4nNNDZ\ntOr00BtM2J9Hh5dlJgeiVacn8kJwOaFKbyzOjMCWg+aw9ywVq5s8PX8cG1obE+7PyqO9YhVdeazO\nnhKMhuZ7AAB/bzqXnxC2obhC0HP+jsMVnHyTD8WMgpdMarfKuqNcfQwkx+nAYZmKInt6GBZnRmDX\n0QqOVzGjEzBz/YK0UCzKiIBUIsTB09eROTGQ1akfTQvFgdPXOYXmvGRS8p0lOIXLVY0QiQTw8XTD\nP/5zGanxSpwuvo3TxbeRnRGOvflV6DSYkJkciBMX1XhhYQxS43mm+SAQCIQBYNAY9hhyc3Oxa9cu\nbNq0CVlZWexxR4vt7hbhrsRgBLbn3ldIdxyuwLvPTObk3JKIhTh6oQYb95RAIhHzMtBptDr8z1YS\n0kdwHhqtDl/mFHNCCyZG3y9QYG04M+qN2Hm4HI/PjsLX39PVajOTAxEbIUfrPT0+eTUNAFijW0yY\nHwpK6/DJdxcA0Hmbth0qQ4xV6O5n2wuRoFJw/r9h3UxO6C5zbafB5FBpZxYHb36ej7QEJbvo9PZy\nw6dbC6HvNHHGmnVF2//dVsgpvpGRFIgf869heuIYxEf4s+cBYPMEMr9RxQ0t9hyvsqnuKPeRkVCw\nXtLUrGO9cAC6iuLkaAWv3/B2Qyu2HirjhGaNC/Hhda0QwHAvNxSW05tDqmAf3m7sch8ZVs6JQqm5\nQnPUWF/e75yCbbgiUyGUT7tkYUvoLRqtDlsOWoS9Hypj58qWNj07l44dNZydAx0Vq3AUuuvt6YYD\np68DAJbNjARAe9rtP1XNVrk9cLqazUlpnTMPcFxl/Zq62SaPMWMUJzlOBw7rjbe9P13D4sxIJKgU\nkEiFWP3YBBSU1kMkFHDkZs+JKixID8N/jl3DiqwobNpzif3bjyeq8PjsKOw4XI7UeCViwvzN31kZ\n+c4S+sSh09U4VVKLsSOHIyfvKhJUCo5c7s67irUrEjHMXYTgkSOwfJaKyBqBQBj0DCrD3okTJ7Bh\nwwZs2rQJnp6e8PDwgF6vh1QqRV1dHQICAqBQKDgeenV1dUhISBiQ/lJ2IsUoE7c4gGXifmKgIwwU\n9sJXMpK7DimICvbF199f4izc4iMV+LmqAUkqBev998qyBMSE+XEMh5v3XcEnr6ahQ2/oNmekZeiu\n5bWWVXeB+yFhJy6qETTSC3vzr2FCmD8bUgvQC834SAVnrFl6cDAFPQDgWMFNPJoWhpq6Fk4uzASV\nAms+OoKMpDEwGCnWI+XJedHYcrAMMeG2OVYsPUbI+O45OrOHZnfHnI22rQN1jTpOnjBtWweCeVx7\nTd2MuiYdK98+w91xTd2MEB6e2d15HXUHMSA/+DjL84zvfRqaddhlYVzPybuK5GiF3eIWjsIhW3R6\ndOgN2JZbzt5n++FyxEf6w99bhodiRuGHY7SX6oyJtIdfm06PR1NDscvswbXIImeevVySFGwL3sxP\nCSE5TgcZ8ZFylF5vglAogEwqYTcIn54/ziZ/rxBA1pRgFJbb6gomisIjqaFIiR3NmVvJeyX0Fo1W\nhyvXtex33xHu7iIkR4/qp14RCARC3xk0OfZaW1vx8ccf46uvvoKXlxcA4KGHHsKBAwcAAAcOHEBq\naipiY2Nx6dIltLa2oq2tDYWFhUhKShqQPguFdGgJkx9k4fRwCJ3wi9rLC0aUGEJfYCrTWuYrCh/D\nNUBYy529YhdCAe05wRjxmJx0Dc32c3xFh/jbyPJD40dy/u8lk9rkfFJr2uzKPBMStjuvEqnxSoi6\nGW9MTr41Hx3BrqMVWP1BLtb+9TiWZ6kgFglws67FJhfm0Qs1iIvwR4M52bd1Hr6L5RrOb/nsggk8\n3gChK4a5iWzkc5ibiNe17lIhls2MZK9dOiMS7lJ+E7HJZJsnz8QvtR/a9Qbknr3BXnv43A206w3d\nXwjnzPEkl9iDi2UuUWZjgUGj5Z+P0d59eip79r4dXjIpBLDNgScA7ObGZI5Z5jVl+mMCWIOi0UQh\nx5wzz1EuyVClN5ZnqXCxvB4Xy+uxbJaK5CEeBMh9ZFj92ASIRQIMcxMhdLQ3CkrrYTK/a+b9/utA\nKZbOjODITVu7ASN9ZSi+2sD52/SkQOw6UgGTieKdXoFA6AqNVoeb9S2sTDL6XElVg+08N0wy0N0l\nEAiEHjFoPPb+85//oLm5Ga+99hooioJAIMBf/vIXvPPOO9i2bRtGjx6NhQsXQiQS4fXXX8evf/1r\nCIVCvPzyy/D05JeLydlQsA0tmWD2ogD6FjJFPDIIzkTuI0NsuD/utHYAAGIt8idZYukhQZlMHPl9\nYWEMEqMCbK4B7hfbYMKjHkkNZT2QLGW5pKoRX/5wCQkqBTKSAtl8JctmRWLzPrr6bXZGOL7KKUJU\nMDec0toj4+iFGkwcF2ATlpVfpLYpxJEQ5m9TCXL9q2lo1xuQFq/E33YVodNgwgsLY7BxTwnmTQtB\nTV2L3WftNJiQX6TGY+lhGOXngb//+zK+/v4SCf3qA34jZPAd4Y5Es+z5jnCH3wh+8949vRHalnZW\nbrUt7bjH09vPw47x0N4xe9jzZLJ3zBGksi3BHl15nnUVamrtmdfVfezJnr+3DItnROCa+g4AIEQ5\nAv7esi6/HVKxEI+l0/rPvXYDPGVSCEHP59tzywEAS2dGYoRMatfLr7eFEBZlRCAhUg4ArFFP7iPD\nqnnR2GyuNP1EDytNE/rOw9NCIRQIUK/VsekRrLPldBpMuHb7Ll0sJUKOS9caYDBQGK3wxMJ02oM+\nQaUARdFe9RRFIdwqby6B0BtOFNaguVUPoeD+B5fR5+ZODcHthlYsnB6O67fv9kgHIRAIhMHCoDHs\nLV26FEuXLrU5/s0339gcy8rK4uTfGyiEQuCRlFBsP2xWYGdE2njsWRo1AFrZ5qugEEWG4EymJwVi\nfKhjYzHjIWGZxHzDupmc4hbMtdYG6xClN+Ij/BHgJ0PZdS32nazG2FEjkJksY6+xvP+5y3W4VNkA\npZwuWrB5XymEQgHiIuS4fvsu209LLAteSMRCJETKsTA9DE0tHewCMTFKgRVZKk4IrkQsRNBIL1yq\nbGDzOJXfaEL5DS0bTrz6sQkYN9YXIUpvSCRinL50C37D3TlGwyUzIvD9sUqIRQI89fA4jBvrizc/\nz6cNhyoFfipSk9CvXiL3kSFI4QmjkfbsCVJ48v8dKeDgmRus3IpFAkyL5Rc+I5WKMXtyMA6epfOB\nZU0OhpSncc5RMQA+aLQ6/G1nESaY5ZEpZENkh+CI3hr87N3n/+4tQXZGBADg7/8uYWVP5iZmQ8st\n5XF6UiCCRtKRFJaGNIWvDP/8D21Ie3IebUi7Ys6XyYTK7s67ivgIOhR35qQgHD5HF7mZMTGIs/lj\nuTnDpGHoamPU2ktPo9Vh68Eytt1th8qQFq8kY6of0Wh1+HbfFSybpWKPVdRosXyWCtty6WItGUmB\nyCu4CYlYCFWwDzoNFIqvNmCMwhOHz9cga3IwxCIBdhymC2i8sDCGLdhCIPSWanUzmlr0KKrQQCQS\nYFFGOHLM3+6UOCX2nbyGFbNUuKc3ImikV890EAKBQBgkDBrD3pCEAu62dWCBecf6blsH7cZnBUnq\nTBgs9FZRKb2uxf9uK0SnwcTKr7VHaXSIH9Zv4ZfjiCl+sfavx5EYpaD/H6/EUTaf3TiHBS9+KlIj\nJY6uxnihtB6ZyYG4YA6nPX+ljmOIfHlxHBpa2nHt1l0sSA/DTvNiYc2iWHyx62e2rxt/uIQF6WG4\nXtvCPtvFsnqcK63DY+lhkLlL8MPxSowP9YdQAEwaN5JtIz1xDNvvgtI6zH6IXxEEApe0xEBE9yKv\nmEgogMxdjFmT6cx4uWevQ8TTBU5vMMDLU8p6L3l5SKE38AunNYFO7s4YEvbmV7HFAPhgXVGUQAAc\ne/o7Cr/tyuBnz4NNo9Vh9pRg/N8fSwAAS2dGsPf5p4VX87f7riDVbBizp78wRTiYsbP1UBlS45Vw\nk4rZuRigDe2MJ6u/tzt7vr+3O/sMIqGA9da1HLuZyYEYO4prUOwK63YJ/UurTo8pE0Zh874ryEym\nvednTQpCpboZC8we7ht/oHPtzZ4cjC0HzMa+5EDsO1WNmDB/7M67ijXZsex3nBhXCH3leEEN7umN\naNcbUHy1AZ0GE7w93LAwPRw36u6i9Z4ezy+MhV5vQlyk3Ca/M4FAsA9lMuHatWu8zw8LC4NIxC8q\nhtA7iGGvD5hMQEenCftO0cmgM5MD2fxM1gn7SVJnwmDHekH56rIETrXajORAHCu42SP5ZTzpmHxg\nryxLwFc5RXh4Wgh251WyOU6WzYrElgNlFovKy0iNH81po9NgwrGCm3gkNRQ/HKu0KerBLOgAOrfU\nl7uKMG/qWPxwvAoAPT6FQgE6DSacKam16euN2hbcbdWzniqzpoxFvHmxWVLViLZ7i681FwAAIABJ\nREFUnbhYXs/xHFm9YAK+NocWA8CmH0uQGBVAxnYv6c3vRgkozE8JwfZc2mi7dGYEKAG/aukmE7Dz\ncAXHSzVJJed1batOb2NIaO1BaKGjiqIEgr2Nk94Y/Ox5sDU067A9977M7zhcgYRIOfy97Y89R/pL\nq05vY5xu1ekRqvTGiiwVth6ijTbLzTnwrlxrwNaD5ZyxFhdOe/LlFdxkvVePFd7EUnMl3Z6EHpNq\n0QOPZbXvvIKbWDg9DNq7HWyexAVpoXg0LRTVt+5iz4n7leXzLtQgUaVASqwSUokI8Sp+FdEJhO7Q\naHW4qr6DPWY9kNFjc8/dwML0cFworcfTD49D+OjhCCa5OgmEHnGvRYP3NjRANqKy23N1d+rx7YeP\nIzIysh969suFGPb6AEXZLs6mxY60UUYtQ3EJhMGMdej46g9yOcp3fKQCF60q11kusCwXVk/MjcZb\nn+ej02DCi9l0fr6YMD88lh6GqzfvsNd3GkyorGnusl+W975pJ/edUEAXYHh5aQJadHp8uYsOc/zh\neJVdA2BxZQNezI7BV7vpUNzpSYFsPp/5KSGcxSL9dxnGh/qhRadnw8c0Wh0KyuuJ59UAo++EjaFC\nFTyZ17VCmMO6zUaFkqoG3uG0UonQJoRQKhk09agIQxx7ho2eGPyq1LZzalc57boyHFqPEYBrxAHo\n+ZWpTrvzSAVrUNx1tAKZyYEOc1IyBkLLccQYyHsaekxyEw8szLdRIhYiLkIOXy937Dpyv9LynhNV\neD47Fr5e7mzIN0NksA8ulNVh4riR5N0R+kyVuhkdegO0LR3Yc7zKrh4bHjgCE6MDEBvuT4x6BEIv\nkY1QwNOHpEsYLBDDXh8Q2vEm1bUb8eWuIo4yumHdTLKTTBgyMLJ54qLa5m9MVVzmHHsLrJgw2gD2\n1uf5aDcXMfhqdzESVHWYPH4ktudWQCgUICM5EHnmxdzU2NGYEjO6yzHC3LtVp8ekcQGsUe7lpbTx\nvKC0Dp98d4E9925bh93+i0UCpMQpkRgVgA9e9MKZy3XYd7IanQYTxCIBvGRSG28QgA6zZXLyMQZ7\no5EinlcDjNiOLc3eMXvoTUZkZ4Rj2yE6T+qyWZHQm/gV3oga64/iyiY2hHCUvweixvrzulbuI7Px\naiLfBAIf+Br8vGRSPJIaipyjdB6p7IxweMmkdFVZi5xny2aqEB3i7/A+ch8Zlmep8K05l94qcy49\ne5XQO/QG1rhjjZdMapOT0stcVOPERTVrCMwvUmN+iuN0Bt1FQJBxNHDIfWR4bXkCSqoa0dzWgU6j\nbYXkcyW1GBfqx5HBR1JCsed4Jf70/FRS4ZjQZ3KOVrC5P1cvnGDzd4lIgMzkQFy7dRfnrtRh9WMx\n/d1FAoFAcAnEsNcHBLBN+lyjaUFMuD/OXa7jnEt2kglDCcucdozx7dkFEzDJYje9uwVWp4Gr1FMU\ncNYcAsuE1SaqFFg5J4pV5rsbI0xIb4jSm63Qy3iVfJlT3GXF3EfTQlHb2Ib4SAXOlNyGKsibNdQx\n+YBeyI5DSVUj/rqVa6w8cVHNuT9jsE9LGGMz1gn9y2i5F5bOjGCTrS+ZEYHRci9e13Z2AtsO3Q8P\n3J5bDlUQP28/uq1IXLlGezAxxhE+VKmbbbyaJo4LIItaQq+xN2fmHL3vLbU77yrmPjQWGq0O+05d\nw9Pzx5uPV2DGxECHhjGNVmdTUTwtXgmBwFb/YYpNLpwexgmNZ9h/qhqPptE5iQ+crsbch8bShsYs\nFScXYKjSGxqtzub+hMGPu5sIRhMFo5HCd/tLOToEU4Aqaqwvbmru4tkFE1BQWo/9p6vxzCPjyfxH\n6DNV6mY2V6hELISu3WAzj/gMd8PdVj2u194ljhYEAuGBghj2+oDRCJud5lVzo5GRFIjCMjrMwPKj\nQT4ehKEEY3yLj1SwBSMsjXotOj0kYiGMelsPJ+uwLibUVSwS4NHUUPyYXwWKojDJypjRkzHS3bnL\nZ6ngJZOyHnQlVY1snpW1jyfhk+8ucAyBn7yaBi+ZlBN+/Nn2Qowd5cUqhdakxiuhu6fneA+Scd7/\ntLcb8JslcQCA67fu8r7OXnr9nqbc74lBzxKS6J8wUNxp1bNFDKxlz563sj38Rshs9J8VWaouc/hN\nmTAKe47TuXgsDXWLMiKQEEnntrT8Hti7P8mlN3jRaHWo197DkfM1SFApbHQIo4lCSpwS3x+7iqfm\njUNheT1EQgFeXpqA1HgSykVwLnERcly51oTiqw2ceeThaSFQKjyxNDaSzB0EAuGBghj2+oDXMJFN\nbpgRHlKkxisRFewDgBjzCEMTy8WTdcEIy/Dbp+aPw5WqRhhNFFtBkYHxUi29rsVn2wtBURSWzYpC\nztEKJKoUmJ4U6DRl3t5iz3r3n8mT5whHIWQAUHy1geN58MLCGPZZZz8UwvEeJPQevkYFa9o6DPhs\nexEAYMZE/p493l5uNrv53l5uPWq7N4QqvW0qlhJvFYIz6coA5ui4vdQKXd3nxUVxNsft5fFj8uvZ\nM9QxWM+/ch+Z3fsDJAJiMHP5WhMAoKhCw34zL5bXY9lMFXw83RAR6M0aaJmiU+QdEpxFqNIbT86L\nxrf7rkAoAH6+2oCUeCWru63IikLoaC8kjxs1wD0lEAgE50MMe33AZ4QMfiPcOTmWokOIskl4MLC3\neLIMv5WIhaipbcFZcyjqtDhbIx0TOmtp6E4zG/OcPUb4LPYsj/Nd9IYqvfHiojh8lVPk0CBJxnvf\n6aoCZnccPnc/z+GR8zVYPotfnsMQpTeCRnqxc3jQSC+E9JOBzZGXEoHgLBzNid3N7QA3tUJP7tOV\n0dqRoa43xTDInDv4kPvIMGX8SHgOk+DwuRv4qUiNp+ePw51WPZpb2jF5fABnfiXvkOAKUuOV6DSa\ncPVmM9ITx+B4IZ32RRXsA6lUSIx6BALhgYUY9vpAi06P749VYoK5WtyOw+VIilIQZYXwwNCVLMdF\nyDmFI6xz7Dm6jyvHR0/u3ZPFKvEQcS3d5Wt0JY+lhyM2nJ7D+9vARgx6BFfDZ5PD2fdxZLTuqUGx\nN/0kDCzTkwIxPtQPafGj8f3xKvzj31fYwlRZU4IHunuEXwAtOj22HChjN6ATIuWYnxICb0+3ftu4\nIxAIhIGAZ+1Agj28ZFI2T9L5K3XoNJi6DOcjEIY6TFiWWCSA8AFIC8Z4FPI57uhcwsBiKZNikaBX\nObdCld7EyEb4ReOMcWSJozFF5tEHH7mPDKP8PVFQWs8pokX0Y0J/YClnnQYTCsrqMUbRf974BAKB\nMFAQj70+QJI4E36JWHpdFFc2Evkn9Jm+zqXEo5JA6DsDMY6IHvVgQt4rYaAgskcgDD4okwnXrl3j\nfX5YWBhEIpELe/RgQgx7fYQsKAm/RO6HqMqI/BOcQl/nUiJ/BELfGYhxRPSoBxPyXgkDBZE9AmFw\nca9Fg/c2NEA2orLbc3V36vHth48jMjKyH3r2YEEMe06AfDQIv2SI/BOcBZElAuGXCRn7DybkvRIG\nCiJ7BMLgQjZCAU8f20KLBOdBcuwRCAQCgUAgEAgEAoFAIBAIQxBi2CMQCAQCgUAgEAgEAoFAIBCG\nICQUl0AgEAgEAoFAIBAIBAKBMGCQQhu9Z8ga9j788EMUFRVBIBDgd7/7HWJiYga6SwQCgUAgEAgE\nAoFAIBAIhB7Sk0Ibbc21+NPz0xASEsLr3g+6EXBIGvbOnTuH69evY+vWraisrMQ777yDrVu3DnS3\nCAQCgUAgEAgEAoFAIBAIvYBvoQ3dnTq8t+EUqbZrZkga9k6dOoWZM2cCoC2vd+/eRVtbGzw8PAa4\nZwQCgUAgEAgEAoFAIBAIBFfC1wj4SwjxHZKGvYaGBkyYMIH9v4+PDxoaGohhj0AgEAgEAoFAIBAI\nBAKBAKBnIb5D1btvSBr2rKEoqsu/G41GAEBtbW1/dIfwC2LkyJEQi10zjIjcElwFkVvCUITILWGo\n4irZJXJLcCVkziUMRQaT3LY23YKx826355nuNqBd6Mu7H/damgAIyLk9PHeYlx+vcwH6HctkMt7n\n9xVnyO2QNOwpFAo0NDSw/6+vr4dcLnd4vkajAQCsXLnS5X0j/LI4fPgwxowZ45J7E7kluAoit4Sh\nCJFbwlDFVbJL5JbgSsicSxiKDGW5be7BuR09OJ+c2/NzV6/ewvNM5+AMuRVQ3bm7DUIKCwvx+eef\nY9OmTSgpKcEHH3yA7777zuH57e3tuHTpEuRy+ZCLlSYMbly5K0TkluAqiNwShiJEbglDFVfJLpFb\ngishcy5hKELkljAUcYbcDknDHgCsX78eZ8+ehUgkwnvvvQeVSjXQXSIQCAQCgUAgEAgEAoFAIBD6\njSFr2CMQCAQCgUAgEAgEAoFAIBB+yQgHugMEAoFAIBAIBAKBQCAQCAQCoecQwx6BQCAQCAQCgUAg\nEAgEAoEwBCGGPQKBQCAQCAQCgUAgEAgEAmEI4pqSMQPI7t278emnnyIoKAgAMG3aNDz//PMoLS3F\nH//4RwiFQqhUKvzhD38AAGzcuBEHDhyAUCjEmjVrkJ6e3uM2P/zwQxQVFUEgEOB3v/sdYmJietX3\ns2fP4tVXX0VERAQoioJKpcKzzz6LN954AxRFQS6X46OPPoJEIsGePXvwz3/+EyKRCEuWLMHixYu7\nvX95eTleeuklPP3001i5ciVqa2t539tgMODtt9/GrVu3IBKJ8OGHH9otyWzdxrp163Dp0iX4+PgA\nAJ555hmkp6f3uo2PPvoIBQUFMBqNeO655xATE+P0Z7Bu48iRI059BlfB97dxNh0dHZg/fz5eeukl\nTJkypV/a3LNnDzZt2gSxWIxXXnkFKpXK5e3qdDq89dZbuHPnDjo7O/HSSy8hPDzcpe32ZcwOFM6a\nD3uKtfzPmjWrX9q1lP/HHnusX9q0lv/efLd6ij35T0lJcWmbfOXfGQyE3Nr75v/+9793WXv9+Xt2\n1a4jvcDZDNQ3ka8O0Rd6qus6m/4aLz3Ri53BQH1z+6I794W+6NTdYTQa8c477+DGjRswmUx48803\nkZiY2KP1WGtrK15//XW0tLTAw8MDn3zyCYYPHw6gexl0xnrh5s2buHz5Ml577TXMmzevx9cXFxej\nvr4egYGBeP311x3qqo7u8V//9V84deoUjEYjgoOD8dvf/tah3ml9j9jYWKxZswbe3t6QSqUwGo2g\nKApSqZR3/ysrK1FZWYnnn38eL730Ek6cOIHf/va3oCgKnp6eyMnJgZ+fn8N7rFmzBqdPn8bIkSPx\nzTffYMyYMSgtLcXatWtRWVmJxx9/HH/4wx961IeSkhI888wz6OjowPDhw7F37154eXn1aE3W23nS\n2fOeK8cfA581Wl/nFb5rst6005O111Cxjdy+fRu/+93vYDAYIJFI8PHHH3c5jnpkV6AeMHJycqi/\n/OUvNsdXrVpFXbp0iaIoilq7di11/PhxqqamhsrOzqYMBgPV2NhIzZkzhzKZTD1q7+zZs9Tzzz9P\nURRFXb16lVq2bFmv+37mzBnqlVde4Rx7++23qQMHDlAURVHr16+ntmzZQul0Omr27NlUa2sr1d7e\nTs2fP5+6c+dOl/fW6XTUqlWrqHfffZfavHlzj++9e/du6v3336coiqLy8/Op1157jXcbeXl5Nuf1\npo3Tp09Tzz33HEVRFKXVaqnp06dTb7/9NrV//36nPYOjNpz1DK6C72/jCtavX08tXryY2r17t12Z\ncjZarZbKysqidDodpdFoqHfffbdf2t28eTO1fv16iqIoqq6ujpozZ45Lf+O+jtmBwJnzYU+wJ//9\nhaX89wf25L8/sCf/roSv/DuDgZJbe998V9Gfvyefdq2/qc5moL6JfHWIvtITXdfZ9Od44asXO4OB\n+ub2VXfuLX3Vqbtj165d1H//939TFEVRFRUV1OLFiymK6tl67LPPPqM2bdpEURRFbdu2jfr4448p\niupeBp21Xli/fj01e/ZsavHixT1eM73zzjtUVlYWdfjwYerFF190qKt2dY+VK1dS69evp/Lz86kX\nXnjBod5pfY958+ZRjz/+OLVq1Spq5cqVFEVR1K9//Wtq+fLlvNt+7733qFWrVlHPPfcctXDhQoqi\nKGrq1KnU119/TVEURWVnZ1OvvPKKw3ts27aNSk1Npd59913q/fffZ9dDK1eupLKzs6nU1FRq7dq1\n1KFDh3rUh6ysLGrt2rUURVHU4sWLqc8++6zHa7LezJPOnvdcPf4Yuluj9fX+fNdkvW2H79prKNlG\n3nrrLbb/mzdvpj7++GOn2RV+EaG4nZ2dUKvVGD9+PAAgMzMTJ0+exJkzZ5CWlgaRSARfX18olUpc\nvXq1R/c+deoUZs6cCQAICwvD3bt30dbW1uu+UlZFis+ePYuMjAwAQEZGBk6ePImioiLExsbCw8MD\nbm5uSExMREFBQZf3dXNzw8aNG6FQKHp87wsXLnCec+rUqXbbs9eGPXrbxqRJk/Dpp58CAIYPHw6d\nTodz584hMzPTac9grw2TyWTzXvrShivg+9s4m6qqKlRVVSE9PR0UReHcuXM2MuVsTp48iWnTpmHY\nsGHw9/fH+++/b1eWnY2Pjw+0Wi0A4M6dO/D19XXpb9yXMdtfcmeNs+dDvljL/71792zGrCuwlP/+\nwp789wf25N+V8JV/ZzBQcgvYfvNdRX/+nt212x8M1DeRrw7hChzpus6mv8cLH73YGQzUN7cvunNf\n2u2LTs2n3QULFuDtt98GAPj6+rIeNzdv3uS1HquoqMDp06dZ73vLd92dDDpjvTB+/HhUVVVh/vz5\nuH79ul39tqvr5XI5pk2bhoyMDJSUlDjUVbu6R3JyMrRaLaZOnYqioiKHeqf1PZKSkvDUU0/hzp07\niIqKAgBUV1dDrVbzbjsrKwsbN27EhAkTUFNTg87OTkilUjzzzDMAgMTERFRVVTm8x/nz5/HnP/8Z\nCoUCoaGhKCwsRGdnJ0pLS/Hcc89BIpEgMzMTe/fu7VEfbt++jaeffhoA8PTTT6OtrY33mozpgz0Z\n7A5nz3uuHn8AvzVaX+cVvmuy3rbDd+01lGwjf/zjH5GVlQWAnhubm5udZld4IA17Z8+exerVq/Gr\nX/0KpaWl0Gq1GDFiBPt3X19f1NfXo7GxkbM48fX1hUaj6VFbDQ0NnHv4+PigoaGh132vrKzEmjVr\nsHLlSpw8eRLt7e1siIGfn1+v+y0UCiGVSjnH7t27x/vels8pEAggFAphMBi6bQMANm/ejKeeegqv\nv/46tFqtzW/Gtw2BQAB3d3cAwM6dOzF9+nSnP4NlGzt27MD06dMhFAqd9gyugs9v01PZ5sNf/vIX\nVnEDbGXKFW2q1Wrcu3cPL774Ip544gmcOnXKZpy4ot158+bh1q1byMrKwqpVq/Dmm2+69Hn7OmYH\nAmfPh3yxHrfp6ekQCAQub9da/vsDe/LfH1jL/1tvveXS9vjIv7PkfKDkFrD95ruK/vw9u2sX4OoF\nzc3NTm93oL6JfHQIZz0vH13XFc/Y3+OlO73YWc84UN/cvurOvaWvOnV3iEQi9rn+8Y9/4JFHHoFW\nq4W3tzfnXvbaYN5rQ0MDG47s5+fHyll3MuiM9cKuXbvY77tAIIBOp+vR9W1tbbh37x7WrFmDpqYm\n5Ofn92hN19DQgLlz5+LWrVuYPXs2tFotXn/9dV7P4efnh+bmZuh0Onh4eACgZVkkEsFgMPBq29/f\nH1KpFAKBAAKBgH0XAoEAJpMJZ86cYd+JvXs0NjYiICCA804KCwsBALNnz2bPraur61EfAODYsWNY\ntWoVtm/fDrVazXtNxtzDWgb5yLOz5z1Xjz+g+zWaM+YzPmuyvrTDZ+011Gwj7u7u7Dj617/+hfnz\n5zvNrjCkc+zt2LEDO3fuhEAgAEVREAgEePjhh/Hyyy8jPT0dFy9exBtvvIFNmzbx2i11xo5qX+4R\nHByM3/zmN5g7dy5qamrw5JNPcl6eo3u7st+OjptMJl73XbBgAby9vREVFYWvv/4an3/+ORISEvrU\nRm5uLnbt2oVNmzaxFu+u7tObZ8jNzUVOTg42bdqES5cuOf0ZXEVPf5u+8P333yMhIQFKpdLu313l\noUBRFJqbm/G3v/0NarUaTz75JKctV7W7Z88ejB49Ghs3bkRZWRnWrVtn06/+xJXzgbPo775YjltX\nYy3//fWsjPx/8cUXuHnzJp588kkcPXrU5e1ayn9paSneeecd7Nq1y+XtOsKVv3d/vUt73/xDhw5B\nLO5/1aw/x6qlXrBhwwZ89tlnePfdd13SVn9+E63btadD9OZ5na3rOhtXttlbvdgV9Oc3ty+6c09x\nhk5tT0ZffvllTJs2Dd999x0uX76Mr776Co2Njbz6ZE937up5Hf2tt89WX1+PSZMmOfy+8/1tGF01\nNTUVv//973npqpbH8/Ly2O/u1KlT8ec//7lX/WBgfteeXse8U4qiYDKZ8MYbb2D8+PHo7Ozs0T2+\n+OIL1tjXlz6EhYXhN7/5DdatW4eioiLOu+V7j74ymMafPXq7Ruvpc/V2Tca3nd6uvQazbYQ59403\n3sBDDz2EKVOmYO/evU5pY0h77C1ZsgTbtm3D1q1b2X9XrVrFhkXFx8dDq9XCx8eHs0NaV1eHgIAA\nKBQKjjW3rq6ux+EiCoWCY7Gvr6+HXC7v1fMEBARg7ty5AIDAwED4+/vj7t270Ov1Tu83AHh4ePC6\nN3OceU5GqeKz+JgyZQrrBp6ZmYny8nIEBAT0uo0TJ05gw4YN2LhxIzw9PV3yDNZtOPsZXEV3v42z\nQ6GOHTuGw4cPY9myZdi5cye++OILyGQyl7YJAP7+/khISIBQKERgYCA8PDxc/qwAUFBQgNTUVACA\nSqWCRqPBsGHDXN6uJXzlvb/D3hicOR/2FGv5dzWW8r9jxw58+eWX/eI9x8i/QCBg5b+pqcnl7VrK\nf1RUFOrr6/vdiOCqcT5Qcmvvm19XV+fydhn6Y960h+U3dcaMGSgvL3dJO/39TXTUbl+fty+6riue\nsT/HCx+92JVyO1DfXL56Z1/b7a1Obd2uPRmdNm0aduzYgby8PHzxxRdsmC0TVtddG9Y6tWW7fGSw\nL+sFnU6Hn376if2+t7a29ni9IRKJkJCQAJPJBLFY3Ks1S2FhIVJTU9kk+/b0zq7u4eHhgdbWVgCA\nTCYDRVEQi8U9+t0ZQ4JcLkdzczPWrVuHkJAQTJ48GQqFgvc9DAYD1Go1rl+/jmXLlkGj0eD999/H\nyJEje9QHAJg4cSIAQKlUQq/X816TUeaCCL2ZJ10x7zlr/NmDzxrNGfMZnzVZX9rhs/YaarYRAOw4\nWrNmDQA4rY0hbdizx8aNG/Hvf/8bAF2FxNfXFxKJBKGhoWxc8sGDB5GamorJkyfj2LFjMBgMqKur\nQ319PcLDw3vU3rRp03DgwAEAQElJCQICAiCTyXrV9x9//BHffPMNALBuzNnZ2di/fz8A4MCBA0hN\n/X/t3XtUVWX6wPHv4SorUFBR5GIiRg6KEpokDMkY5qVCjbEUhdTBNcrFwbwwiKhhE5YlzogtIXMm\nBVNYSeMisghmma4xyFFIZDRRM7lk3LwAyu2c3x8u94AeEOQgP/D5/EXbfd7L6Tnvfva73723J2PG\njCE/P5/q6mpqamo4deoU48aN63B9EydOVNr+oLI9PDyUdmRlZeHm5tauOpYvX86VK1cAyM7OxtHR\n8aHrqK6uZsuWLezcuRMzM7Mu6YO2OnTZh67S3u9Gl2JjY0lJSeHAgQP8/ve/Jzg4mIkTJ94Xr7rm\n4eFBdnY2Go2GqqoqamtrH0m9Tz75JLm5ucCdpedPPPEE7u7uXV5vcx2J9+6gy/GwI7TFf1drHv9z\n5swhKCiIiRMndnm92uK/q593B9rj/1Hc7txcV41p3RW32o75zW9d6mpdfYxojbZjqq51xzGxtXq7\nor8dyXV17VH+XtqbF3eV7jrmdiTvfFidzakf5MqVKxw4cIC4uDjl1jYDA4MOnY95eHjw5ZdfttgX\nHhyDne3bihUrePbZZzlw4ACurq6MGTNGa57Z1rlAWVkZ2dnZZGZm8swzz7Saq7ZVRmVlJbm5uWRl\nZeHs7Nxq3tlaGXZ2dhQUFAAwdOhQ5W2aHTlfunjxIsOGDUNfXx9TU1Nu3LhBSEiI8v9j7NixDyzj\n3LlzuLu7k5GRgZubG+Hh4VhaWmJvb8+sWbM61AZra2v27t2rxISTk1OHzsn09fUfapzU9bjX1b+/\n9p6jdXZcae852cPW095zr540N3Lo0CGMjIwICQlRtrXnd9SeOlSa/0/3benA1atXldcUNzU1ERER\ngbOzMxcuXGD9+vVoNBrGjh2rPB8oKSmJQ4cOoVKpWLFixUNNxGzdupWcnBz09fVZv349Tz/99EO1\nvaamRnmte2NjIyEhIYwcOZLw8HDq6+uxtrYmJiYGfX19vv76a3bt2oWenh7+/v689NJLbZZ95swZ\nNm/eTElJCQYGBgwePJj333+fP//5z+0qW61WExkZyeXLlzE2Nmbz5s33nYBoq8Pf35/4+HhMTEx4\n4okneOedd+jfv/9D1ZGcnExcXBzDhg1TllO/++67REZG6qwP2up49dVXSUxM1EkfukpHvpuuEBcX\nh62tLb/97W9Zs2ZNl9eZnJxMSkoKKpWKoKAgRo8e3eX11tbWsnbtWioqKmhqaiIsLAx7e3utv09d\n6OxvtrvoajzsCG3x/95772FlZdXldcP/4n/WrFmPpL5749/Ly6vL69QW/xMmTOiy+joS/7rQHXGr\n7ZjfVZMUj/r7bKve1vICXequY2JHcojO6Giuq2uP6vfSkby4s7rrmNvZ3PlhdTanfpDY2FjS09MZ\nMmSIUv7u3bu5fPlyu8/HamtrWb16NdeuXaNv375s2bJFWZHfVgzq8nzh119/VbZryzPb+vyJEyeo\nrKxk6NCh/OlPf2o1V22tjPDwcI4ePUpTUxPDhg1j9erVreadzcv43e9+x7GhuwbzAAAPVklEQVRj\nxygpKeHatWuoVCrl+1GpVO2qOygoiO+//56GhgYGDRqEtbU1v/zyC2VlZejp6WFmZsbkyZNZv369\n1jJOnz7N0qVLuXHjBnp6evzmN78hISGBsrIy1q9fzw8//MCCBQsIDw/vUBtCQ0MJDQ2loaEBc3Nz\nUlJSOnxO9rDjpC7Hva7+/TX3oHO0zpbf3nOyh6mnI+dePWVupLKyEiMjI+UC+YgRI1r9HXV0XqHX\nTewJIYQQQgghhBBCCPE46HW34gohhBBCCCGEEEII8TiQiT0hhBBCCCGEEEIIIXogmdgTQgghhBBC\nCCGEEKIHkok9IYQQQgghhBBCCCF6IJnYE0IIIYQQQgghhBCiB5KJPSGEEEIIIYQQQggheiCZ2OsF\niouLcXZ2JiAggICAAObMmcMHH3zQ5mf8/f05fvz4I2qhEJ1XVlbGqFGj+Oijj7q7KUJoVVZWxurV\nq5k1axZ+fn7Mnz+/U+PspEmTKCkp0WELxePi3rzA39+fgIAAdu/e3WK/lJQUIiIidFp3Wlqa8ndA\nQAAajUan5YvH08iRI1Gr1d3dDCF0ori4mEmTJrXYVl5eTlhYWLvLOHr0KPHx8QCcOnWKoqIinbZR\nCG25xPz58zlx4kSbnzt06BDQ8ZgWnWPQ3Q0QujFgwAD27NkDgFqtZvr06bz00kuMHDmym1smhG6k\npqYyYsQIUlNTWbJkSXc3R4j7BAcHM3v2bLZs2QLAjz/+yOLFi/n000+xs7PrcHkqlUrXTRSPkeZ5\nwaO0fft2ZsyYgZ6eXrfUL3onGQ9Fb3NvTA8cOJBt27a1+/Oenp54enoCcPDgQWbMmIGtra1O2yjE\nvbnEhQsXWLhwIUePHtW6f1NTEzt27MDHx6fDMS06Ryb2eqGqqioaGxsZOHAg33zzDbt27cLY2Jim\npibee+89rK2tlX01Gg0bNmzg0qVL1NfX4+zszLp16yguLmbZsmV4enqSl5dHbW0t8fHxWFpa8q9/\n/YsdO3bQp08fhg0bRnR0NE1NTURHR/Pzzz9TU1PDyy+/zMKFC7vvSxC9zmeffcZbb71FREQEubm5\nuLi4cOTIEbZu3Yq5uTkeHh4kJSVx5MgRbty4wYYNG6iqquLmzZssWrSIl19+ubu7IHqx48ePo6en\nx7x585Rtjo6OfPnllxgYGLB8+XKuX79OTU0NU6dOZcmSJeTk5PDhhx/Sp08fpkyZgpeXF2FhYajV\napycnJSVTufPnycqKgpjY2Nu375NUFDQfVf6hWivpKQk9u/fz5AhQ7C0tFS2T548mU8++QQ7Ozty\ncnLYtm0b+/bt46effiIqKgoAIyMjYmJisLS0bJE7jBkzhsjISLZv387ly5d54403iIuLw83NjYKC\nAurq6oiKiuKXX36hsbGRmTNnMm/ePFJTU/n3v/+NWq3m0qVL2NjYsH379u76akQPkJOTQ0JCAlZW\nVhQWFmJgYMDHH3+MsbExKSkp7N+/H0NDQ9zc3FixYgUVFRVERkZSU1NDQ0MDgYGBeHt7ExcXR1lZ\nGeXl5Zw7d47AwED++9//kp+fj6WlJTt37gQgMTGRw4cP09jYyPDhw9m4cSNGRkbd/C2I3qi4uBg/\nPz+OHDlCREQE5ubmXLx4kcLCQlauXElWVhbnzp1j3LhxbNy4URk/p06dyuHDhzl9+jQRERG4ubl1\nd1dEL+bg4EB9fT2lpaXExMQoue20adMIDAwkMjKSkpIS/vCHPxAdHd0ipgcNGsS5c+e4fPkyvr6+\nBAYGcu3aNVauXMmtW7d48sknKSkpYenSpUycOLG7u9rjyMReL1FRUUFAQABqtZrCwkIWLVrEwIED\nuXnzJtu2bcPKyoqEhAQSExNZs2aN8rnr16/z9NNPEx0dDcD06dMpLCzExMSECxcuEBsby+rVq4mI\niCA9PZ3XX3+dqKgo0tLSMDc354MPPuDkyZPk5eUxePBgNm3ahFqt5rXXXsPd3R1HR8fu+kpEL/L9\n99+jVqt57rnnmDlzJgcPHsTFxYWNGzcSHx+Po6MjW7duVa5+btu2jeeff57Zs2dz69YtZs6ciYeH\nBxYWFt3cE9FbnT9/ntGjR9+33czMjKKiIry9vfHx8aG+vh53d3f8/PwAOHPmDFlZWZiZmREbG4uL\niwsrV66koKCAxMREAJKTk/H29iYwMJDKyspWr5IK8SDV1dX87W9/IyMjg759+xIUFES/fv207nt3\nPN24cSNLlizh+eefJz09ncOHD+Pj46M1dwgNDWXHjh3s2bMHlUqllLF371769evH+++/T11dHdOn\nT1dWmuTm5vLFF19gZGTElClTOHv2rNxtINqUl5fHli1bsLCwICAggKNHj+Lk5ER8fDzp6ekYGRkR\nERHBTz/9xO7du5kwYQKLFy+msrISHx8f3N3dAbh48SJ79+4lJyeHxYsXc/jwYWxtbXnhhRc4e/Ys\n9fX1ZGRkKGNxTEwMKSkpzJ8/vzu7L3qx5qv4KisriY+PJzU1lejoaL755hsMDQ2ZMGECq1atUvb3\n9vbmk08+ISgoSCb1RJfLzMzEwsICtVp9X247b948QkND+e677/j4448pLi5uEdNFRUXs3LmTkpIS\nfHx8CAwM5B//+AeOjo6Eh4dz/vx5Zs+e3Y2969lkYq+XaL5MtrGxkYiICJKSkrC1tWXNmjVoNBrK\ny8txcXFp8bm+fftSWlrK3LlzMTQ0pLy8nKqqKkxMTLCwsMDBwQEAGxsbrl+/TmFhIUOGDMHc3ByA\nlStXApCQkMDVq1fJzs4GoL6+np9//lkm9oROfPbZZ8pAP3v2bHx9fVm2bBm1tbVKjE2dOlV5pkN2\ndjb5+fkcPHgQuLPKpKioSCb2RJfR19dv9flPAwYM4MSJE+zbtw9DQ0Pq6+u5fv06APb29piZmQFw\n7tw55s6dC4CTk5OyferUqURERFBSUsKkSZOYOXPmI+iR6OnuXvC7u/JTpVKxatUqbG1t6du3LwBu\nbm6cPXu2zXLy8vKYMGECADNmzADuPPJDW+5wl0ajaZHM5+Xl8eqrrwJgbGyMs7MzBQUFAIwZM0ZZ\nAWVlZcW1a9d00X3Rizk4OCjH87v56enTpxk9erQSSzExMQD88MMPyoWU/v37Y2VlxaVLlwB45pln\ngDtxN3DgQOU2xsGDB1NdXU1ubi5XrlxRfke3b9/G0NDwkfZVPL5cXV2BO/Hp4OCAqakpABYWFty8\nebM7myYeI81zidLSUmxsbEhISKB///6t5ratuZtLWFtbU1NTg0aj4ezZs7z++usAPPXUU9jb23d5\nn3ormdjrhQwMDJg2bRr79+/nP//5D//85z+xs7MjKSmJ/Pz8Fvt+8cUX5Ofn8+mnn6JSqfD19W1R\nTnN3E/Wmpqb76jQyMiI4OJgXX3yxazolHlvV1dV89dVX2NjYkJGRgUajQa1Wk52djZ7e/97/o6+v\nr/xtZGTEhg0bGDVqVHc0WTyGHB0dSUlJuW/7jz/+SFZWFg0NDezfvx+A5557Tvn3e08Sm0+GNDY2\nAjB+/HjS0tI4fvw4n3/+OYcOHXrgC5KE0PaMvfz8/BYx1nwyuvn2hoaGFtvvnbRuK3e4tyxt/918\n4q/52H3334Roi7aY0RancH/sqdVqrbGnrUwjIyMmT57MunXrdNV0IdrtQfEpxKPQPJfIyMhgz549\nDB06lJ07d7aa27ZGWxyr1epWz+dEx8hbcXuJewf4EydOYGtri76+PtbW1tTV1ZGZmUl9fX2L/Soq\nKrC3t0elUpGfn8+VK1eUfbQdNIYPH86vv/7K1atXAdi8eTNZWVmMHz+e9PR04E7StHnzZm7cuNEV\nXRWPmbS0NNzc3EhLSyM1NZXPP/+cTZs2kZqaip6ennLl/euvv1Y+M27cOCUeb9++zVtvvSVv0xNd\n6tlnn8XU1LTFW5vPnz/PsmXLOHnypLL6OTMzk7q6uvvGYrizCuXUqVPAnRVOt27dAu4846m0tBQv\nLy/efvttTp8+/Qh6JHo6bcdwOzs7ioqKqK6uRqPRtHhrs6mpKaWlpQB89913ynZXV1fl9u/09HRi\nY2PbzB1UKpUyMXi3DWPHjuXYsWMA1NbWcubMGbnwIjrkQRMZzs7OnD59mpqaGgDCwsIoKCjAxcVF\nid+rV69SXl6udUWItvJdXV359ttvqa2tBWDfvn3k5eV1titCAPfHXHsn67Ttp6enp1wMFEKXmsfb\nlClT6NevH4mJiVRUVGjNbdsbi3fLHT58OCdPngSgsLBQOa8THScr9nqJqqoqZZlsQ0MDQ4cOVZ59\n4+vri42NDYGBgaxZs4avvvpKuVo5bdo0li5dir+/P66urixevJi33367xfPKmjMxMeEvf/kLoaGh\nGBsbY2tri5eXF42NjZw/f565c+eiVqvx8vJSbvURojMOHjxIcHBwi20vvvgiMTExvPHGGwQHB2Nt\nbc348eOVqzwhISGsW7cOPz8/GhoaeO2111pcDRKiK8THxxMTE8Mrr7yCubk5xsbG/PWvf8XAwIA3\n33yTY8eO8cILL/DKK6+watUqwsPDW3w+ICCAsLAwFi5cyIgRI5Q36Q4fPpw333wTMzMz1Gq18mwd\nIdrSPC+4ezy3tbVl6dKlzJs3Dzs7O2xtbZUJ5EWLFrF27Vrs7e2VW8AAoqKiiIqKIikpCUNDQ955\n5x00Go3W3CE5ORlPT098fX358MMPlXr9/f2JiopiwYIFNDQ0EBIS0uJFXnfJm09Fax4UG0OGDCEk\nJISFCxdiYGDAuHHjcHJyIjQ0lLVr1/Ltt9/S0NDApk2bMDExabP8u3+PHj0aPz8//P396dOnD4MG\nDbpvdaoQD+veMbp///7tGgO17ePh4cGGDRtYu3Yt3t7eXdFc8Zi6N96ioqKYM2cO8fHxrFy58r7c\nNjk5mQEDBuDr68u77777wHIXLVrE8uXLWbBgAQ4ODowaNeq+uwZF+6g0spZXCNFDZWZmMnLkSOU2\n3QMHDrBr167ubpYQQgghhBBCiDZcunSJoqIiPD09qaurY8qUKaSkpDB48ODublqPI9OhQogeS61W\nExISgqmpKWq1mo0bN3Z3k4QQQgghhBBCPICZmRl///vf2bFjB01NTfzxj3+USb2HJCv2hBBCCCGE\nEEIIIYTogeShU0IIIYQQQgghhBBC9EAysSeEEEIIIYQQQgghRA8kE3tCCCGEEEIIIYQQQvRAMrEn\nhBBCCCGEEEIIIUQPJBN7QgghhBBCCCGEEEL0QDKxJ4QQQgghhBBCCCFED/R/MSohE53tYMcAAAAA\nSUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.pairplot(credit[['Balance','Age','Cards','Education','Income','Limit','Rating']])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.7"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 509.8031 | 33.128 | 15.389 | 0.000 | 444.675 574.931 | \n",
"
\n",
"\n",
" Gender[T.Female] | 19.7331 | 46.051 | 0.429 | 0.669 | -70.801 110.267 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Balance ~ Gender', credit).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.8"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 531.0000 | 46.319 | 11.464 | 0.000 | 439.939 622.061 | \n",
"
\n",
"\n",
" Ethnicity[T.Asian] | -18.6863 | 65.021 | -0.287 | 0.774 | -146.515 109.142 | \n",
"
\n",
"\n",
" Ethnicity[T.Caucasian] | -12.5025 | 56.681 | -0.221 | 0.826 | -123.935 98.930 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Balance ~ Ethnicity', credit).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.9 - Interaction Variables"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 6.7502 | 0.248 | 27.233 | 0.000 | 6.261 7.239 | \n",
"
\n",
"\n",
" TV | 0.0191 | 0.002 | 12.699 | 0.000 | 0.016 0.022 | \n",
"
\n",
"\n",
" Radio | 0.0289 | 0.009 | 3.241 | 0.001 | 0.011 0.046 | \n",
"
\n",
"\n",
" TV:Radio | 0.0011 | 5.24e-05 | 20.727 | 0.000 | 0.001 0.001 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('Sales ~ TV + Radio + TV*Radio', advertising).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figure 3.7 - Interaction between qualitative and quantative variables"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Regression 1 - without interaction term\n",
"Intercept 211.142964\n",
"Income 5.984336\n",
"Student2 382.670539\n",
"dtype: float64\n",
"\n",
"Regression 2 - with interaction term\n",
"Intercept 200.623153\n",
"Income 6.218169\n",
"Student2 476.675843\n",
"Income:Student2 -1.999151\n",
"dtype: float64\n"
]
}
],
"source": [
"est1 = smf.ols('Balance ~ Income + Student2', credit).fit()\n",
"regr1 = est1.params\n",
"est2 = smf.ols('Balance ~ Income + Income*Student2', credit).fit()\n",
"regr2 = est2.params\n",
"\n",
"print('Regression 1 - without interaction term')\n",
"print(regr1)\n",
"print('\\nRegression 2 - with interaction term')\n",
"print(regr2)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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VfHfoAJGR4OYmxbcJuXnzJr1796Z79+4kJCTg4eHBsWPHpPgWQjzp+nWYNAkq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\nM7h5FrMylpWVMWbMGLy8vGjfvv3vrjcj18yZM68VGWt6vAzDoFmzZnz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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Income (x-axis)\n",
"income = np.linspace(0,150)\n",
"\n",
"# Balance without interaction term (y-axis)\n",
"student1 = np.linspace(regr1['Intercept']+regr1['Student2'],\n",
" regr1['Intercept']+regr1['Student2']+150*regr1['Income'])\n",
"non_student1 = np.linspace(regr1['Intercept'], regr1['Intercept']+150*regr1['Income'])\n",
"\n",
"# Balance with iteraction term (y-axis)\n",
"student2 = np.linspace(regr2['Intercept']+regr2['Student2'],\n",
" regr2['Intercept']+regr2['Student2']+150*(regr2['Income']+regr2['Income:Student2']))\n",
"non_student2 = np.linspace(regr2['Intercept'], regr2['Intercept']+150*regr2['Income'])\n",
"\n",
"# Create plot\n",
"fig, (ax1,ax2) = plt.subplots(1,2, figsize=(12,5))\n",
"ax1.plot(income, student1, 'r', income, non_student1, 'k')\n",
"ax2.plot(income, student2, 'r', income, non_student2, 'k')\n",
"\n",
"for ax in fig.axes:\n",
" ax.legend(['student', 'non-student'], loc=2)\n",
" ax.set_xlabel('Income')\n",
" ax.set_ylabel('Balance')\n",
" ax.set_ylim(ymax=1550)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figure 3.8 - Non-linear relationships"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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JHTt2UF1dzbBhw+76IiNbtmyha9eueHt7Yzab+fbbb5k9e3az3i8uhBDN3T27\nqtxsNqMvLKQyM4vKzExqiktQWFujVKtRqlQoVCqUahVqZ2ccAvxROzmhVCh5tNeDONq0YnVKHEaT\nkY/2fkV5dQXjOg2/7v1MJhPLli1jypQp2NrasmrVKqZOnXpb872ZmZkkJSWhUqlwcnJi2LBht9zW\n1YwePZpNmzZx6NAhqqurGTdu3C0lbZPJRFxcHAqFgurqaiZOnHjXf2kRQojmqsUkbrPRSPEvR7i4\nZx+V589TmZmFqaqq3terXZxx8PfH3t+PUQH+OIZM5auUGMyY+erwSkqry4kMnnjNxLZ//37Gjx9v\nWSQ2e/Zs4uLimDJlyi09j06nY8+ePZaDR1JTU9m/f79ln3dDGT9+/G23sW7dOkaPHo2joyMGg4GV\nK1cya9asBohOCCHE7zX7xF2ZlU1+4lbyt+2g5rcFWrdCf7GIootFFCUdAKCVWs3zIQFsaHWBdA9r\n1hzfQFl1OY/1nI5SeeWaPoPBgEqlsry+PMGbzWZiYmJQqVRUV1fTtWtXQkJCrhvPmTNn6Nu3r+V1\n165dr7oN7G6gUqlwdHQEalehX/qzEEKIhtcsE7fZZKJgx05yEzZTnnryip9r3N2x8/HG1scHO592\n2Pn4oHFzw2w0YqrRY9LXYKqpwaSvRpd9AW1aGhVp6WjPnsP826pqk14Ph09wH1CtUnDGR0Nq7hb+\npStn7sBHUVup6txzwIABfPvtt8ycORO1Ws3KlSstq8oTEhIYMWIELi4uQO2xnf7+/tjY2GA0Gq9Y\npQ219cyPHj2Kn58fer2e6Ohojh8/jlqtvuUh7cZSWVmJ2Wy2xKTT6Zo4IiGEaLmaXeLWnj1H2uLP\nKD91us77ahdn3EeOwD1sJLY3Udu7dXAwMBoAk8FA5flMylKOU/jzbss9NDVmgtOrCE6vouBwIkuO\nZTDrkQU42P53j7RKpWLmzJls3rwZk8nEuHHjcHZ2Bmq3VF1K2gCBgYGsX78eAHt7ewoKCpgxY0ad\nfeFubm5YW1sTHR3Nvn376NKlC2+88QZFRUWsX7+eyZMn39wvjtqef2JiIpWVlYSGhtKxY8ebbuNq\nRo4cyfLly3F2dqasrIwePXo0SLtCCCGu1GwSt7G6msyVq8n5MQ7zb3uGFdbWOPfvR9vRo3DqHorC\nyuq27qG0tsbBzxcHP1+8widRlZdH4a7dFOz6mcqz5wBwKzHgtuk0u/c8SUDkdHzH34fyt21fGo2G\nSZMmXdHAuCztAAAgAElEQVSuWq3m4sWLluSdkpKCQqFg2LBhXLx4kWHDhhEfH09ERARQm2DPnDlD\nhw4dGDZsGFqtFrVaTXx8PDqd7qo99PpYsWIFEyZMwNnZ2ZLAg4KCbqmty7m7uzNr1iwMBsMtxyaE\nEKJ+msW/sqXHj5MbvY7qvHzLe879++L3hyfQuLk22n1t2ral3bQHaDftAbTnznM2JpqinbtRmsw4\nlOnJ/epbCqJ/pP3UqXhMGIdSpbpqO+PGjaszx+3q6srx48c5efIk3t7eREdHW+bHjUYjy5Yto1+/\nflRUVLB3716SkpIYN24cZrMZJycnNm3axAMPPHBTz1JSUoK3t7dlFCAsLIwff/yxQRI3wPbt2ykr\nK0OpVHLfffdddR2AEEKI29csEveZfy3C9bderdrFGb8nn8BlQMOurr4R+w7tCf7znymd8SDxn7+H\n59FsVEYwlpSR8dXX5G5KwPfxR2nTu9cV116qXX5JaWkp8fHxzJ07F4VCgZWVFcuWLSM3N5fPPvuM\n4cOHExwcDNT2ZpctW0ZxcTEBAQGWIis3y8rK6opSpSaT6abbuZqNGzcSEhKCj48PZWVlrFq1iqio\nqAZpWwghRF3NInEDoFDgOXEC7WdGYd2Ee4Rbe3oT+cr/8fn2L6neupsep3RoaszosnM48ebbtOnd\nC9/HH8XW+9rz7FVVVYSFhbFmzRo0Gg22tra0bduWw4cP07NnT/z9/YmOjmbq1Km4ublhZ2fHQw89\nRHFxMf369WPBggXXbNtgMBAbG4u1tTVVVVVMnDgRe3t7WrVqRUlJCRkZGfj4+LBhw4YGm4s2GAyW\nE8McHR2vqOomhBCi4TSLxK1q04bQ11+hVedOTR0KANZW1jwz6km+c3Hjm+SfGHhUS0iaDqUZig8d\npuRIMp6TJ+IzPfKqXzLc3d3Jzc1l1qxZqFQqDh06xJEjR7jvvvvIzs7ml19+wd7ensrKSmJjYxk8\neDCvvfYaUDuP3q1bt2vGtm7dOiZMmIC9vT1Go5GVK1cyc+ZMAKZNm8aBAwdITU1l8ODBuLpee5rB\nbDazdetWtFotbdu2ve7+8ctrmV96XVJSwvbt21EoFPTr1++aZVeFEELcnGaRuNd5jcCYZ0VY+xrs\nbK4+j3ynKRVKHu4xFVe7Niy1WcOxTjYMP1RBu/wazEYjOetiKfx5D53+9EecenSvc61CoSAqKooN\nGzagVCpp3749nTrVfinx9vampqaGb775huLiYkaPHs2XX35JcHAwvXr1IiEh4bpxqdVqS4/Xysrq\nij3Vl+8Nv57o6GiGDRuGu7s7v/76K5s3b77moSndu3dnzZo1hISEkJaWhpubG+vXr2fmzJkoFArW\nrFnD0KFDadu2bb3uLYQQ4tqaxQqi81oFX6w7xqP/+In//HiM3It3z+lT93UexZ8HPUGpiy3RYU5s\nGOJItaMNAPrCQo6/9iZnFn+OobLu3mYbGxvuv/9+wsPD6dGjB507dyYxMREAOzs7unTpQlRUFG5u\nbgQHBzNp0iQUCgVPPfUUTk5O14xHp9PVmQP//Uli9aVWq3F3dwegU6dO192bHRAQYIlv6NCh6HQ6\nIiMjLfu6p06dyv79+28pDiGEEHU1ix63jdoKI1BZZSB2Zzpxu9LpF+TB5KF+hAa4Nmgxki+//JKM\njAyCgoIsQ8w3MsCnF042rVn486ecaa/grJeGSafb0CE5F8xm8hJ+ouSXXwiY+0ecuodetY2goCDs\n7e2JjY3F0dHRUuoUas/bdnR0tPSef3/0JtQObW/fvp3q6mref/99unbtSkVFRb172L/3+4VsV7vn\n5WxsbAgMDARqv3iUlZVZThmrqqrC6ja36gkhhKjVLE4HW78hgePZRtb/nE5eUd0eZEdPRyYN8WNE\n73ZoVLeeHLKysnj77beJiIhg7NixrF+/ntTUVF566aV6t5FTlss7OxeRr70IQGiFA2P3l1OTV2D5\njMeEcXR8dA5WlxVbuZGff/4Zg8FAUFAQSUlJ+Pn5XbGNa/Xq1YwYMQJ3d3f27duHUqmkX79+9b7H\n7+3evRu9Xk9ISAhJSUl06NDhhmVaL7l00tigQYPQaDRs3ryZ2bNn1ykJe6tyc3PZsWMHtra2VFVV\nERER0SDtCiHE3eJGp4M1i6FyWxtr7h/uz+fzR/O3R/sRGvDfRVVnL5Sx6IcjPPrmTyyLP8HF0psv\ntxkfH09mZiZKpZLc3FyKioqYNGkSxTdZ+9zL0YO3Rv8V/zYdADjqUMGSMfbYhg22fCZ3YwJHX5xH\n5fnz9W53yJAhBAYGkp6ezuDBg69I2gaDATs7O8vQ9oABA7hw4cJNxf57gwcPpmvXrqSlpTFo0KB6\nJ22oncOfPXs2Op2OgoIC5syZ02DJNTExkenTpxMeHk54ePhdW7+9qRw+fJi4uDhiYmIoLy9v6nCE\nEI2gWSTuS6yUCgaEePL2M4P5+C8jGNOvPWrr2kcor9TzQ+KvPP7WZt7/7iCnzhXVq82SkhI0Gg0D\nBw7E3t6e2bNns23bNuDK4eL6cLJx5LVRf6aPV+2QeJGpkg+8zqJ8bhaa3xJr5flMkv8yj7wtW+u9\nJ9vT05MBAwZYTh+7nFKpvCJW42/V5W6Hh4fHNe95IwqFgm7dutGrV68GGyY3m811FtvZ2NhIb/sy\nhw8fxmQyMXnyZO6//36io6Nv6f9hIcTdrVkl7sv5erXmuek9WfLKWGZP6IrzbwvCjCYzO3/J5sWP\nd/HiRzvZcTgLg/HahUYqKiosi718fHxYsmQJJpOJRYsWWeZsb5aNtYYXBz/FfZ1GAlBjrOFfhZu5\n8MeJuAwaANQeYnLm35/w678+xvjbwi+j0cj58+fr1VPasWMHsbGxREdHc/r0adRqNSkpKVRWVvK3\nv/2N3NxcVq1aRUVFxS09w91IoVDUeR6DwUDVTRzd2tJlZWXRp08foPbLXN++fTl79mzTBiWEaHDN\nYo77WuP8lzMYTew5mkPsrnROnas7xO3saMN9gzsyfkBHWjvUnVs2m818/fXXzJo1C7VazSeffMKx\nY8eYM2cOAwcOvO1niD+9laVH1lh61mP8hjCxwJmzS5ZaTiKz8fLC86kn2HI0mdDQUC5cuICdnR3D\nhw+/apsHDx7Ezs7OMmQeGxvLsGHDyM7OZvny5fTu3RuVSoVaraagoIDZs2ff9nPcLdLT00lKSsLO\nzo7y8nIiIiKwa8KCPHeTmJgYpkyZYhnh2LZtG926dbvufn0hxN3nRrmvxSTuy50+X0zsznR+Ts7G\naPrv46mslYzo1Y7JQ/3w9Wpteb+6uppNmzahUCjw9fW9boGT+jpx4gSZmZn07t2bs9XZfLR3CdXG\n2kIl3T268pTnWE7/7/9hvli7kM1sZYXX44/wq7UVXl5epKWlMXHiRFQqFZmZmaxZs4bS0lLc3Nxw\ndXWts+q8oKCAX3/9lUGDBvH666/z8MMP4+fnR2FhIe+//z7vvffebT1LQUEBhw8fpn379nTt2vW2\n2rqR9PR0Tp8+Tbdu3fD29m7Ue7U0Wq2WVatW0bt3bwoKCjAajYwbN66pwxJC3KQWsTjtZnVu34YX\nZ/Xmq7+P4cHRnXG0r61zXmMwsTnpPM99sJ0Fi3ezL+UCRpMZjUbDlClTCA8Pb5CkvWHDBkwmEyNG\njGDv3r20rrTjjVH/g5NN7fxscm4qL//yJeanZ+H4W811hdHIhS++wu9cJlYKBcePH7fswf78888Z\nOnQoL7/8MkVFRXz55Zd8/fXXaLW1+9lPnTpF+/btgdp/vH19fQFwdXW9pbrmlzt58iRJSUmMGDGC\nmpoaNm7ceFvtXc+OHTsoKChg1KhRnD59mkOHDjXavVoie3t7HnnkEZycnOjdu7ckbSFaqBaZuC9x\naW3L7AldWfLKWJ57sAcdPf+7sOlYWiFvf53EU+9uYd2ONLS66+9Tri+DwYDBYCAkJASNRsPkyZM5\nduwYfs4deGfMPDo41X57KkPLZxlrONqjPXmhIVxaSpa/YSPGlT9QlpdnOZ/baDTSp08fEhMTeeqp\np+jTpw82Njb87W9/syxAuvStLCgoiOXLlxMbG8v3339/22dunzhxgokTJ6LRaAgNDaWqqqrBDif5\nvYsXL9K/f3/UajUjR47k3LlzjXKflkypVNKhQ4dbWlAohGgeWnTivkSjsmJM/w58/JcRvP3MIPoH\ne3CpZkteUSVfxabw6D8S+DzmKDkFt7eYy2QyXbHS+dKco6udM2+O+gtBbQIAqKaGDRW7cX50PD9Y\nAfa1c7Vlx1IYl1dI8uYtmM1mqqurMZvNGI1GrKysyMrKYvjw4YwaNYqIiAhGjBhBZmYmq1atQqvV\nkpxcO1fu6upKr15XnlZ2M36/IlylUt12L76+95KiLUIIcaVmUTmtoSgUCkID3AgNcCP3opb1P2ew\nOekclVUGdNVG1u/OYP3uDPp0bcvkoX707Ox201XZ1Go1paWlFBYW4urqyt69e+vM1dqqbHgieDpv\nx37IRedKDCYDiw8so81wH4wBY3DcugPtmTQ0VdUYln7HupQUQkNDWbx4McnJyaxevZrw8HDS0tI4\nePAg4eHhAOzcudNS6e3ChQt89913PPLII5bqZbfK09OTpKQk+vXrR0FBAVqtttESqlKp5Ny5c3To\n0IETJ05cUWddCCHEPdLjvhoPF3uemBLC16+M5amIbni5/vcoyoOpebz2xV6efX8bG/eepUp/c3th\nZ8yYQXJyMnFxcbRp08ayRecSL08v+tmEMNAmFAW1XwyKParZbn2KGDsV1ZdOQaupwX3fAQLyCwnt\n1s1Sw9zZ2ZkLFy7g6OiI2WympqbGMjRaUFDA1q1bKS0tJTExkbS0tFv/JQH9+vXDwcGBuLg4jh07\nxoMPPnhb7V3P5MmTyc7OJi4ujurqakaOHNlo9xJCiObqnupxX42djYpJQ/wY0LU1e5MzSTqt5civ\nhQBk5pWzeE0yyzacYNyADtw32Bf3NjfeeqRQKAgLC7vmz5VKJVOmTOHHH3+kh8mP463OozfXkFLy\nKzYBKtr0fxz1gRRKYtaByYRi917crVWMHDqMKVMfQKvVYmdnx/r16zGbzahUKkpLSwHYunUr06ZN\nIy4ujmnTprFy5Ur8/f1v6ndSWFhIWVkZHTp0wMrKiqCgIIKCgjCbzZw7d85yfnhjGDRoUKO0K4QQ\nLUW9Evfw4cOvGDK2srLC19eXefPmWY6kbK5++umn2udp25bCc6eJ+uN4tv2Sz9aDmehrjFToaoje\ndoa1O9IYGOLJ5KF+BPk639bhJocOHcLHx4e+Hn1pdWgXx1qdpbimjCqbGt7a8288zjowc1oE1T/E\noDabKdixExcvT461a0e3/v0oLS2lvLwcpbJ20KRfv36sWrWKo0ePcuLECUJDQ0lISMDW1vam4oqP\nj8fW1hZXV1eWLl3K9OnTsbe3p6amhu+++46ePXuSlZXF7t27eeCBB275+YUQQtyaeiXumTNnUlFR\nwbhx47CysuKnn35CrVbj7+/P66+/zvLlyxs7zkZzqad6qYccFBTE2rVreXbaVB6+rys/7TvH+t0Z\nFJboMJnM7D6aw+6jOfi3a034UD+G9vBGZX1zc74VFRUYDAYmTJgAQHBwMFMi76ff3DCO5qViZa8i\nv0sVu60KGDP3GbTLlkNpKYqcC5Qt/pwNJ09i1dadGTNmWNr09/fH39+f5ORkoqKi6NKlC2lpabzw\nwgu4u7szYMCAG37RyMvLw8HBgWHDhll+F7GxsURERJCQkEBUVBQ2NrUV6lJSUkhNTW30fd1CCCHq\nqtcc9+7du/mf//kfgoOD6dKlC8899xwHDx5kzJgxlh5fc3X58ZNQO4ytVtfu+25lp2bqqE58uWA0\n8x7uQ9eOzpbPpWWV8uH3v/DYW5tZkXCS4rIbl94sLi5Gr9dTUVFRp5qVQqHARqlh/rBn6WLdsfY9\nKwUHOMlR52JKp0ykVZffyq+WlOCyaTMDPL2u+rvv27cvJ06cYOnSpfz73//moYcewsfHh1WrVgG1\nx3MWFRVddWV4SUlJnSFwKysry0I0k8lkSdoAXl5eFBXVrx68EEKIhlOvrFtSUsLp06ctr8+ePUtO\nTg7Z2dnNvha2t7c3R44csRzKcfjwYTw9Pet8xspKyZDu3iz801A+fGE4I3u3w9qqtvdaUl7N9z+d\n4rG3NvPh94c5k1VyxT2qqqr4+uuvSUlJYdOmTZw4cYKUlBTLARBHjhzB19eX9XHr+UO/h+hrFQS/\nVXxb/2siB53O4/vKX3EbXtsTNlZWcuKNt8jfuv2Ke5lMJh544AEcHR358MMPUalUtGvXDn9/f6Kj\no9mwYQPHjx/nm2++ueLvzt/fn71791r2ae/fv9+yDzwoKMhy+IrZbGbjxo307NnzVn7lQgghbkO9\nSp7u2LGD119/ncrKShQKBVZWVsyfPx9bW1tMJhNjxoy56nVVVVW8/PLLXLx4Eb1ezzPPPEOXLl14\n6aWXMJvNuLm5sXDhwmue8HSrJU9vllarJSEhAWtra7y9vendu/cNrykuq2Lj3rNs3HOWkorqOj8L\n8nUmfKg/A0I8sLJSEhMTw+TJky3P+dNPPxESEsK+ffuwtrbGy8uLPn368NVXX5Genk5BQQHBw3tw\n0Pok1dQWhvF0cOelIU9jit9J5srVlnu1nxlFu8iplmHwkydPcvLkSfLz82nfvj3Ozs7069ePgwcP\ncujQIZ566imgtqjLunXrmDp1ap3Yy8rK2LJlC9bW1rRv354ePXpYfpaamsqvv/6KwWBg2LBhUgNb\nCCEaQYPWKi8uLsZsNtOmTZt6LcyKj4/nwoULPP744+Tk5PDoo4/Sq1cvRowYwbhx4/jwww/x9PSs\nM1d7M8HfDWoMRnYdySZ2VzppWaV1fubWxpZJg30xFp0gcuoUy/spKSnY2tpedbW3Xq9HrVZjMpko\nrCzin7s/52xJFgC21jY8N/Ax2p0oIG3xZ5h/GyVoO2Y0fk//AaV17ZKFiooKdu7cSVlZGZGRkVRW\nVvLNN9/Qu3fvOqu2Y2NjCQ8Px2g0olQqr/t3eqn4ixBCiMbVIIn7zJkzfPzxx5w5cwaFQkFgYCB/\n+tOfLDWx6+PgwYMsWrSIrKwsNm7ciEql4siRIyxZsoSPP/74loK/m5jNZk5kFBG3K529x3K47GwT\nVFYKegW0Ys6UPrRzd+Dbb78lKiqKHTt2UFlZSY8ePbCzs2PBggV4eXlx4MABOnfuzPDhw1GqrThi\n9SspJb/+diOY7B/GJCt/Tr73T0y/HWvp1KsngS/9BWu72lXkBoOBTz75hMLCQsuoSEZGBnPmzEGp\nVHL69GnOnz9PTk4OLi4ulhrnffv2rfNcZWVlrFu3DhcXFyoqKujatSuhoaF35HcqhBD3ohvlvnqt\nKn/55ZeZMWMGL7zwAmazmUOHDjFv3jxWr15944upLUiSn5/Pp59+ymOPPWYZMnZxcaGgoOAmHufu\npVAoCPZzIdjPhfyiSuL3ZLBp71m0VQZqjGb2nypj/8KteDmZmD52IKtWrWbixPto06YNCQkJrF69\nmk8++YT9+/fz9NNP8/7773Pfffdx5swZTm5IJWriFFYei8WsMBOXnkhBu2Lm/OMV0t/9AH1RESWH\nfyHlb68Q9OrfULdpQ3x8PE8++aRlO1hCQgKjRo0iJiYGjUZD69atKSsrIyoqyvL3ERMTQ48ePepM\nXWzatIlZs2ZZFsKtWrWqXon70KFDZGZmolAocHZ2ZujQoQ3/SxdCiHtQvRan2draMm3aNPz8/PD3\n9+fBBx+kVatW9b7JypUrWbx4MS+++GKd1cx38Ymit8Xd2Y5HJgUzObiCp+4Ppp27g+VnOSVKPlx9\ngs2/OrL7eDG6agPjxo2jrKwMGxsbSktL8fDwoGPHjmRnZ9O5c2cqyiuICBrPvKHPYKuqXdm9L+sw\nb6etpu1r/4Ndh99OBkvP4Oi8BehycgDq7OHu2LEjOp2OadOmMXnyZIYNG4a1tXWdJO3h4UFJSd3F\ndTY2NnVWr7dq1cqyqO5azp8/j1ar5f7772fKlCk4Ojpy7NixW/xtCiGEuFy9EveAAQPYsmULOp0O\nrVZLYmIiPXv2xGw2X/ekqOPHj5ObmwtAly5dMJlM2Nvbo9fXnkudl5eHu7t7AzzG3amVgy2Thgbw\nyUujeOMPA/H5724yiipMfL72GI+8mcCXP6agsnPm8OHDdO7cmffee4+4uDgOHz7MP//5T9zd3TEa\njQS29qNHkS+qqtq/tqyyC7xy+AuMz0XhGBIMQHVePkfn/Q0XfU2dnQC//PLLFVMb9vb2ZGXVzp+b\nzWbOnDlzxYIzpVJJYWFtJTmTyURhYSHW1tcfqDl69ChDhgyxvO7evTsZGRk3+dsTQghxNfUaKl+8\nePFVE/SiRYtQKBSkpqZe9boDBw6Qk5PDggULKCwspLKykqFDh7Jp0ybCw8NJSEho0UOoWq0Ws9mM\nUqmgVxd3hvpVMvQPk1j/cwYJe9MxmBRUVhn4cWcaCrf7+NfqFAyFyZTnnWbKlCkolUo6deqEr68v\nMTExHDhwgP79+/PkpCf49MC3JGUfQVdTxcJDXxM5bRwhjq0o2rMPQ1kZytXR5JSVcfLkSfR6PYMH\nD7YcE3pJWFgYCQkJHD58mKqqKsaPH3/FArWJEydazhevqqqyHGpyPf7+/hw9etSyIj0jI+O2DzsR\nQghRq16L0/Ly8ti0aRPl5eV13p87d+51r6uurmbBggXk5uZSXV3Nn/70J4KDg/nrX/+KXq/Hy8uL\nd99995qrlZvT4rSrKSoqYuPGjTg6OlJRUcGQIUPw8fEBoEJXw5erd5J0uoLy39Vu8fVyZPIQP4b3\naoeVsnaeeeLEiZZV4AAms4n31n7MkZrTmKn9K+zlEULECSsKN22ubUippNOf/oj7qDt/WEdiYiJl\nZWUolUqUSiWTJ0++4zEIIURz1CCrysPDwwkODq5TVUuhUPD88883bLS/05CJu6ysjPXr1+Pg4IBW\nq2X06NGWXuDx48dJTU1FrVZTXV3NtGnTbqsO+c0wmswkHc8lblc6x9IK6/zM0V5NkJeCzm2N7NqW\nQE5ODs7Ozrzzzju4uLiwfPlygsN68PHeJWhrdAC42bZh5AETnkd/tbTTYfZMvKdGcOrUKY4dO4ZG\no0Gn0xEZGXnNyncXLlxgx44dqFQqtm3bZimD2rdv35vaTSCEEOLmNMiqcicnJ959990GD+5O2rBh\nA1FRUSgUCsxmM99//z0PPfQQ1dXVnDx5kmnTpgG1VeLi4+OZOHHiHYnLSqlgYDdPBnbzJCOnlLhd\n6Ww9eB6jCcq0evb9CvtOmxjebw7PDO7A0aREHn30UWbNmsW4ceNwc3Pj3bHz+eDnzzlXmk2Brpi1\noSqeDBmP9cqfwGTi3LfLqS4uJrmVPdN/2zNfXl7Ohg0brtkT3rZtGw899BDR0dEsXLiQuLg4pk+f\nzooVKyRxUzsNdOHCBcs0xO+r7QkhRGOp1+K0MWPGEBsbS2ZmJjk5OZb/mhN7e3tLL1qhUODgULvS\n+8KFCwQEBFg+5+TkZCl/eqf5erXmuek9WfraeGaN74Kz429z0golO37J4q+LdnMgz5MOISOZOi3S\nMmLg4eDGW6P/yrCO/QGoMdXwCYc5N30g5t8OQMldH49PcgqmmtpKbK1atbruqv5LuwZUKhV2dnaW\nFepOTk43XFXe0iUnJ6NQKAgPD2fatGls376dysrKpg5LCHGPqFeP+9SpU8TFxeHk5GR5T6FQsH37\n9saKq8FptVpMJhNKpRKz2Wyp0+3p6cnBgwfp3r07UDsvfa0SrHdKawcN08cE8sDITuw+msO/v92K\nXtkagFPnigF/nnh7M/cN8mXcgA60dtCgsVbzbL85lGUUcUyZjtFsZJ3iVwJGtmXy3lJMFVrMJ1JJ\nfetdAue9hLZGf90DYsrLyzGbzdTU1FBRUYFOVzsUX1JScsNV5VC7Sj0tLY2amhoCAwOb/WE0lzt3\n7lydRXpDhw4lNTW1XqVyhRDidtVrjnvy5MlER0dbTs26Uxpyjru8vNwyx11RUcHYsWNxcXEBaut7\np6SkoNFo0Ov1PPDAA3dsjrs+jh49yqKvVqPT+FNicALFf5Og2lrJ8F7tCB/mT0dPRyorK/n6x285\nYHWSSnPtqjfvShWROyowF9eWZDW4ulA4YigRM2deM6Hm5+ezdetWNBqNZY7bZDIxYMAA2rdvf914\nzWYzK1asIDQ0FLVazZ49e3j44YdbTMnUuLg4Ro8ebRmF2LNnD+3bt2+WCyiFEHefBlmcNn/+fBYs\nWHBTRVcaQnNfVd4YCkt0v1VlO0d5pb7Oz0IDXAkf6kefIA+0NVo+3ruEo3m1W/UcKo3M3mNAnV+b\nvG28PAl+/RWKTSYOHjxImzZt6uy9vh27d+/G398fDw8PoHa0Y+fOnZbzx5s7g8HA8uXL6dChA+Xl\n5Wg0GsaOHdvUYQkhWogGSdyPPfYYx44dw9/fv06vafny5Q0b7e9I4r626hoj2w9lEbcrjXO5dbfp\nqdDhap2PuiqD3lH92XRuJ2bMaPQmZuzR45RTBkCNRs0qYw1hUTMoLCxEoVBYTg+7nlOnTpGSkoK1\ntTVt2rRh0KBB/Pjjj6hUKnQ6HdbW1pw5c4Z9+/ahVCrp3Lkzffr0wWQyodFoLPvBLz/fu7Ho9Xpy\nc3Np27btFfvYb1dpaSk2NjYN3q4Q4t7WIKvKn3766QYPTNwejcqKcQM6MLZ/e46eKSRuVzpJJ3Ix\nm6EGWy4YOmBj58dPK9J5+tkn+C71e8qp4LshGibttqFjdhWqaj2zbWzIzc7h6eefY968eZSVleHo\n6HjN+xYXF3Py5EnLcaApKSl88MEHzJ07F3t7e0wmE88//zzHjx8nMTERhULBgw8+SEZGBsuWLUOt\nVlNTU8OaNWuIiopq1N/R6dOnSU5OJiAggAMHDhAYGEhISEiDtd+6desGa0sIIeqrXom7X79+jR2H\nuGRpupoAACAASURBVEUKhYLundzo3smNC4VaFiz8Dq11O3TVBqr0RlB14MP/ZNI9aDxa9ySytOeJ\nHdqKsAMQnFaFuaoK9x27uNivP+3ataOwsPC6ifvEiRN1htRDQkJYuXIl9vb2QG2J1CNHjrBixQrW\nrVuHQqHgn//8J1FRUZY1EiqVyvL5xpScnExkZCQAPXv25IcffmjQxC2EEE2h5Sz1FXi62uNYfYIl\n/8/eeQZEdaYN+5oCDF3poCJFBEWxARYsWLGBJVETjZo3m/om2S9lYzZlU3bjGpPN5k2yu+nNFmNB\nBRWwoaAoigUUEem99z7tfD9GTkRBLGg25ly/OHOeNgPMfe7+5jSemD8EZzuDcBQEOJfaSMZhH0zr\nByLIZRwItOSkrxkAMp2eS2s/RDiX0m3gmaurK5cuXRKvq6qqEAShQ2qZh4cHO3fuZMGCBcyfP5+U\nlJTrtNP2KHUwBMJt27aNiIgI4uPj7/hzaOdaE7Zk0paQkLgfuCmNW+K3w9NPP80rL7+AjY0NxvX1\nzBsXSl6dBecyKkCQU33JA3kvC4w9znN8mIxmlZzg040gCIyqrKZ4Wzj9lizqMqq+X79+ZGZmsn37\ndtGn/eKLL7Jx40asrKxoamrizTffZPXq1SxYsACFQoFWq+Xrr79m06ZNYlR/u9au0WiIiYnhkUce\nQSaTcfHiRU6cOMGYMWPu+LPQarVUVVVha2tLfX09ra2t3U+SkJCQ+C/npoLTfi2k4LSOaDQawsPD\nMTU1paWlhQkTJuDi4tLp2Pac9XbySuuJjM8m9nQhao0OmXELRp7JKCxrGZjbyowT9Siu9JFxmjkD\njycfR3ZF6IaHh6NSqWhpaSEoKEj8XQiC0EHAX3vdXsjm6oDGa8dkZmaiVqsZPHiw+NqOHTvQarVi\nadZx48aJNd5vBUEQiImJQa025KzPnj37vsonl5CQuD/pkeA0iZujpKSE48ePo1Ao8PLy6iCMeoL2\nJiPt+cMbN25k2bJlnY69VkD1d7LiuUXDWTF7MPsS89hzNJvKS4Eo+2Ry2S2bVhM5c+LrMNYKlEbv\no62mlkyfgRw/dZJx48Yxd+5cZDIZGzduZPr06cTHx6NUKvHw8GDQoEGEhYVRV2dINYuJiSE1NZXw\n8HDkcjnBwcGEhIQAXKfJ29racurUKfGzamtrIzExkb/85S+iH/xG7/NGyGQyZs6cecvzJCQkJP6b\nkQR3D9HQ0EBcXBxLliwBDLW+TUxM8PT07LE9jIyMRKENhqjmazXr7rAyN+bBKV4smOTJNz8fJLVo\nOHnpvcnzOM/2aTLmHa7FrFWgJvEkLtU1jBs9ioCAAPbs2cPcuXMxNTXtYNqOj49n7NixvPzyyzz0\n0EOkpqYycuRI5s+fzwcffADAmjVrsLCwICgo6Lrz9O7dGxMTE8LDw7GysqKwsJCAgIAOwWt2dna0\ntbX9V/moq6qqOHbsGCYmJkyfPl3S5CUkJO4Z0rdND5GUlNShMcnkyZNJTU3t0T3a2trQXKk1DoaH\nhdsVGAqFnKeWTmeBv5IwT3sci0dTqnRiy/Te1FoYTNttGRnIw6OoKKyhuLiYhoYGzp8/36Fv94QJ\nE2hqauKhK81LfH19aW1t5Z133hH3eu2119i7d2+XZ5k0aRLz5s1j3LhxPProo4Ah/7qd6urq2xba\nra2tZGVldQiGu1NKS0s5dOgQoaGhjBs3jnXr1t2w7ruEhIRETyJp3D2EnZ0dhYWF+Pj4ANDY2HhT\nNb1vhdDQULZu3YqFhQXZ2dmYm5sTHh7OtGnTbpjCdSMmT55Me7fuyrpmPovdzpbpx5h3pAbHai29\nmusofH81J+38OZf5OQNdelFUVCQ2OGlpaaGtra3DmjKZjLNnz4oadn5+vtjUpSsUCgVmZmbi+9y2\nbRsWFha0tLTg7+9/W+/t0qVLpKam4uPjQ3R0NJ6envj5+d3WWldz4sQJsfWrpaUlQUFBpKamSqlm\nEhIS9wRJcPcQQ4cOJTw8nJKSEszMzEhLS2P58uU9uodKpWLp0qVkZWVhamrK9OnT0ev1rFu3jocf\nfviOTcl21ma8O385F8vG8pHyP0yNL6F/qRorTQsPlx9nu3wKJ8ocaTiaR3FZFfY2Vly4cIHHH38c\nV1dX/Pz8SE9PZ+LEiWzfvp0zZ85gamrKyZMn+c9//nPT5zA2Nmbp0qV39F4Azp8/L+Zx+/r6snXr\n1h4R3NdybcCdhISExN1EMpX3IAsXLmTYsGG4urqycuXKu9ZUIzU1lenTpwOGILSZM2dy7ty5Hlt/\nsOMAPlu8mtKlk0hzMzwMqHRalpTsp29dFidz4NvYZo6kaZk2+wE8PDxISkoiLCyMqKgoZs+ezT//\n+U9mzpxJYGAgX3zxRY9bH26Gu5XHPW7cOH7++Wf0ej11dXUkJCT0eCCihISERFfcdxr38ePH2b17\nN3K5nFdeeeW2Tci3i42NzW3PvXTpEpcvX8bY2JgZM2ag1WqJiYlBEASam5sxMzOjb9++YrvN9vaj\nlZWVHQqcrFu3jvT0dJycnHj++efF13U6Hfv27UOj0YjrtbS0YGpqipGRESEhIaLP3MzYlBcnPsXn\njUacORbHyNRGlHqBBUUJHOpbzUkCOZJczpHkcvrZqBgwTODxx59ALjfkYjc0NHDx4kXA0DrV3t6e\nEydOUF5eLu5tZGTEjBkz7toDjl6vp6KiAnt7e2pra287j1sQBGJjY2lsbMTV1ZXhw4cTEhLC3r17\nUalUrFixQtK4JSQk7hn3VR53XFwcsbGxvP322zQ2NvL888/z5Zdf3vN2pLfD2bNnxZzl+vp6duzY\ngU6nY9myZezZs4fW1lYCAwNpa2ujqKiIoqIiJk6cSG1tLTk5OTz44IMAfPTRR3h7ezN37lySkpLY\nunUra9euBeDHH39k4cKFxMfH09DQIAobCwsLJkyYQHh4OCtXrrzubLsPR5FxdBf+SRXIr/y1pLg7\nsVc5BYRfnv362FsQOt6dorTDmBgrWL58OTKZjJ9//hmZTIa7uzvp6em0tLTQp08fJk2axPbt2++a\n4BMEgQMHDoiNT2bNmnVb+2zbto2JEyfi4OBASkoKtbW1TJw4scfPKyEhIQHdy777ylQeHR3N22+/\nDRiE0cqVK4mMjPyVT3Vz5OfnM27cOACsrKzQ6/UMHz4cExMTlEolS5cuJTU1VYzaXrFiBa2trdjY\n2IhCGwwR2HPnzgXA399fNFHX1NTg7u6OpaUlGo2GJUuWkJyczOLFi9FoNFhaWuLm5kZtbe11Z5sb\nPIvnX/83NUunoLmiHPvllPKwJpIh3npxXFFFI1/sOE90hg1tVsOpqG1FJpOxZMkS9u3bR21tLTKZ\nDA8PD9LS0rCwsMDLy4uqqqq78pnKZDKmT59OWFgYs2fPvu2HAyMjIxwcHADw8/Pr9DOSkJCQuFfc\nV4Jbp9Oh1WrF6/Lycnr16vUrnujmaa8y1o4gCKJpV6vVIgiCOEar1aJQKPD19cXd3b3DvKvTxa6+\nbi9PevVe7ffar1taWkTz+7Uo5QrCFj+L7apnaTUxSO/+uQ2MSvyZB+Y0MXOsKybGhtc1OhmRR3N5\n8u/7+fsPJzl7qZTqmhpmzJiBmZkZ06ZNo6ysDIDm5uYOFpFTp04RERHBhQsXbvqzu9tc+7u5+m9M\nQkJC4l6jeOfqhNv/Murr61m3bh0rV668KV+1t7c3q1atYujQoZw5c4b9+/fz7LPP3oOT3jlmZmai\nWeTSpUvodDqqqqowMjKitraWjRs3MnfuXI4fP46bmxuOjo6drlNdXU1kZCSenp5s2LABS0tLFAoF\nZ8+eJSEhgcLCQhwdHfnhhx8ICQnhhx9+wNvbm4aGBqqrq7tNaXLs606vgFEUJR5D2arBslmPIjWd\nXO9qHp4yCnV9PRpMaWrVIgCF5Y0cPlOEqb0PpSVF+Pt58e9/fYZKpcLGxoby8nKGDRsGQFRUFH36\n9GHs2LEUFxeTmZnZbdOTe0FJSQnl5eVYW1tz8OBBPD09RQ08OTmZhIQELl++TFlZGW5ubr/uYSUk\nJH7zdCf77isfNxgE16ZNm7C3txermP1WqKur4+zZszg7O+Pt7Q0g+lQdHBwoKSlhyJAhYg51V6Sm\nphITE8PYsWNxdnamoKCACRMmALB9+3YaGxsZM2YMxcXFuLi4UFpaiqOjo5iDfjNo6uo4+c5bkF0I\nQKuxjL0TezN95jKmuU8g8WIp321PpLyxY+CZqbGMYf2N0VadZ/HCuQwaNEi8t2vXLubNm9fl9a9J\nTk4Oubm5DB06FDs7O8BQiOXChQtMmzYNMPQm12q1DB8+/Nc8qoSExG+c312tchsbG5577rlf+xi3\nhbW1NcHBwR1euzrv2MfHh6KiIiIjI3F1dRU11WsxNzfHy8sLa2trUlJSCA0NFe898MADRERE4O3t\njbe3NxUVFWRmZiKXy8nLy0MulzN58uRu07eMrK0Zu/ZDEt5+G9nFy6jUAmGHqjnQ9CPxwxJ5cdIT\n/HGhJ3WtSs7ktHHkTBFanZ4WtcCJjDaUCm8szjSjtKjBs481X375JUeOHMHPz080/9/rZ8rS0lKS\nkpJwdnZm1KhRHe65u7t3cEvU19fzzTffEBgYKOZxDxkyhMjISElwS0hI3FXuKx/3/c758+e5ePEi\nc+bMwcTEhD179lw35tSpUxQUFDBnzhw0Gg1lZWUdSq9mZ2eLZt7s7GyOHz/OpEmTOH78OFVVVYwZ\nM4Z169bdlB83av9+bJcvp26QwTqg1MPM4/XYHEvlpT3vsufCAcYHDOKFh0byTEgvJvla0NvSkEut\n1QkcPlPIS/8Xx+KX12PuNJRljyznrbfe4tSpUxw/fhxnZ+ee+NhuivT0dM6ePcusWbOwtrZm165d\nXY6tqqoiMjKSRYsWIQgC69evRxAEioqKfjMxFRISEr9dJMH9GyIzM1NsaOHj44Narb5OKy0sLGTC\nhAnI5XKGDRuGnZ0dJSUl7Nixg507d3Lx4kWx13VycjJhYWHExsby4osvYmdnh0wmY9GiRcTGxt7w\nLO255IMGD0YXNBbPZ59GuBK1PeZ8E8HxFZwngw+Ofk51Sy1N9ZX86bGpfPvmDF5aOhI7i1/O3Sbv\nxdajVYSfUTJm1lOs+eBjHB0dGT16dA9/gl1z8eJFZs2ahUKhYMCAAcjl8usC/dqJi4tj6dKleHt7\nY2xsTG1tLf/+9785efKk6JKQkJCQuFvcd6byXxNBEDh79ixtbW34+/t3GaF9u1ybzqRQKK4rt3lt\n0xG5XC5WWbuW9rGCIKBQKDAyMkKv12NsbHxdJPW1CIIgzm9tbUU3ciTJXh6MyC9CaG3FO68N64Ya\nIicl83JVNn56TwRBwEgpZ/KoftTmn2bQiAl8t+MklwpbEZBRWddK9OlWZK4Psvd0PaFm9fR3ujcF\ndK79bJVKJXq9vsux7eMnT56Mq6srzc3NDB069K6fU0JCQkLSuHsIQRDYsGEDvXv3xtPTk/Xr1/do\nRyqAvn37cuLECQCKiorQarXXCWobGxux/Gl2dvYNfdUDBw7k4MGDBAcH8+WXX1JUVISZmRk//fTT\ndb72a5HL5Wi1WoqLi/H09OT111+ntpc1x9xd0VlaAuBUreWhmBrMSus4rj3PW1EfUtNSR3p6Oubm\nZvi42fD+/5uBfeMhQgKcsDQzPOgIKIg5kcdzH8by5hfHOHmxFL3+7vq7PTw8iIuLAwxphPX19V2W\nSA0MDCQ8PFysaBcXF4evr+9dPZ+EhMTvB11z8w3v33dR5b8Wp06dwsnJiX79+gGGHOmoqCjCwsJ6\ndJ/09HTS09Pp3bt3l2bZ8+fPk5OTc1Pm5tzcXFJSUoBftOhp06Z16Pt9I+Lj49m7dy+PPvqoGAm/\nY9NP2MQdRVlSCoBGATHjrMnqZ4IxSqY5jGNl8EOi1qrValm7di2NTa24+U0jpUBHfmlDh32c7cyZ\nO96daQGumKl61pLRTlZWFqmpqVhaWhIcHHzDgi1lZWUkJiaiVCqZMWPGDR+QmpqaOHjwIGDQ0C2v\nPNhISEhIdMa5n7ey5K03fz9R5b8Wzc3NHb6Qe9pM3k57NPiNsLe3Jz09XQxCuxFubm64ubkhCAIZ\nGRkoFApUKtVNn2fChAnU1NR0OFN+RTk+zz1DS8QeWhJPYqSDufF1HB9qzskhZuwtj6Mkvoon/Jdi\nZ2YjliMtKCjA338AYyorKW90Ijw2naIaOQJQUtnE1zsvsCHqEtMDXZk73gNnO/ObPufN0KdPH5qb\nm3F0dOy2ypqjo+NNPZQ1NzezdetWsVPchg0beOCBB7ptcyohIfH7peZU0g3vS6byHmLMmDFifXGA\n8PBwAgIC7vk59u7dy8cff4yDgwMbN27k+++/73aOTqfjhx9+QKvV0tjYyKZNm24pFcvCwoK0tDTA\nkFJVWlrKgdhYjqiMKPTypH2lseebmHu0ASONnrMlqbwc9Tf2Z8bz9jtvc+rUKQoLC3nsscc4deoU\nb7/yOCaVR+hVu58+ZjWYmhieMVvatETEZ/PU+wd477tEkjMqeiRtrLi4mB07dmBubk5qaiqHDh26\n4zUBYmNjWbZsGQqFAoVCwSOPPNJt4J+EhMTvF019PfVpl244RtK4ewgTExMWL17M7t27kclkjBkz\n5p6mM7UTGxvLhx9+CMDEiRN5+eWXu52zf/9+Fi1aJGqBTk5OHD16tIMpXhAEwsPDUSqV6HQ6bG1t\nmTRpEgBTpkwhKSmJyMhILCwsGDJkCCdPnuSTTz4B4ItVrzIwPRMTwLOgleVNMrYHmVJn2crXpzdh\n5WnKU/PnkxATz549e/D19RXLns6ZM4eFCxeyect2Dp8pZvfRHEqqmhAESEwtJTG1FDdnK+aO9yB4\nVF9MjG6v01hCQgIPP/wwYPB3tz+E3WnnsvZYgHYLTGdxCRISEhLtVB0/AV0ExrYjCe4exNzc/Fev\n9HVtJzQzM7Nu56jV6g6mW1tbWxoaOvqYY2NjmTBhgmh+P3bsGAUFBaJP39/fXxz717/+lRUrVrBj\nxw5kMhkBSxbzxZo1POPYh5bCQiyrW3gkRkP0hF5kOcqpN27hlej38JV7gFyGXC7H29ub9PR0VCoV\n9vb2aNUthE30RFafhtakH0mZLaRkVgKQW1LPv7ae48c9F5k5tj+zx7lj1+vmfPRXf256vZ6SkhJ6\n9+6Nubk5arX6pn39XTFt2jTWr1/PokWLkMlkbNmyhUceeeSO1pSQkLh/qTgc1+0Y6dH/PsPExIRj\nx44BhjKd9fX13c4JCAgQC44IgsC2bdsICgrqMKaxsbGDz9zX15ecnJxO1xs3bhwnTpxg/vz5zJ8/\nn4yMDCxdXXH60wvYBBrcB0q1lrmHqpiTbw6CgEav5Zz2Mo9veol+fu588803KJVKKisrKSoqonfv\n3oZGK1otC6aPZPUzQXz2p8kMdBQwVhr+jBua1Ww9mMEfVu/ng/VJXMqtvmkzulKp5P3336ekpIQ9\ne/YQFxd3x0IbDLEOy5cvJzExkePHj7N8+fLfRJtZCQmJe09zYRH1F9O6HSdFld+HfPbZZ5SWlmJq\nasrrr79+U6bZ/Px8zpw5gyAIBAUFXRfYdvr0aUxNTRk8eDBg8KWPHj0aW1vb69YSBIGvv/6a6upq\nUZN96aWXOHz4MI0NDVhduIjRyV+CLzS+Hnzn1UCr2ZWAMAG0lxqwLTOjqa6Rxx57jGnTpiEIArt2\n7WL+/Pni3J07dzJ52iz2Jeax51gOVXWtHc7i5mTOQAcNcyYOwsPdrcv3v3XrVtzc3CgpKQEMuekP\nPvigZNaWkJC4Z+T+uJ6i8J1UqtWsyr7cpeyTBPcNaG5uRqVS3Vdf3nq9nra2tpvSJgVBoKWlRTS3\nx8bG0tDQgFarxcPDg0GDBnXIdW5ubsbU1FSMyC4uLkaj0eDq6npdlHbViUQy/u8zdFdy3Y0cHTg1\nw4MjumxxjJXSnGVDFjDZ+xftf9euXQwfPpz+/fuTkJCAsbGxaKbX6vQkpBQTEZ9Nel5Nh/0sVDJG\neJjy1JKJWFtcn58dERHRIUp8//79BAUF3ZSroafR6XRoNJpbiu6XkJD4baPXakl67Ek0dXXUWZjz\nYlKiJLhvhYaGBsLDw3FxcaG2thY3N7dfJUK8pzl+/DhFRUVYW1tTVFTE4sWLuxRMaWlpJCcnY2dn\nR2lpKVOmTMHFxQWAmJgYWltbUalUVFRUMHnyZA4dOoSzszOVlZX4+fmJmvmNaCkq5tLaD2nOywdA\nJ5cT72hG/kxnatrqxHFe5v15ccqT2JnZiO+jsrISHx8fvLy8Ol37cn4N/954mLxqBbqrircYKeVM\nGtGXsIkeuLtYi68fPnyYvn37MmDAADQaDZs2bWLlypXdvoee5tChQ9TV1WFubk5paSlLly7ttuGL\nhITEb5+q44lcev8DAIxCprP8k4+lPO5bISYmhuXLl4ua9tatWxk1atRvWvNWq9WUlpby4IMPAobo\n5oiICBYuXNjp+PPnz/PQQw+J11u2bGHx4sXk5OTQu3dvAgMDAUOXrDVr1rBmzZoOY29GcJv2caHX\nc8+Q/f6HOFVVo9DrCS5pJPmHy1i98TC7cw6jF/RkNOXxYtRfWTIklFlewYwdO7bbtQe69mbKYDnj\ng6cTlZBL1PFc6pvUaLR6DpzK58CpfIZ42hI2wZNAXyeCg4OJj4/n4sWLaLVaFi9e3O0ePU1ZWRly\nuZwFCxYABgtGVFRUh+5uEhIS9ydl+w8YfpDJsA0aC5983OVYSXB3grGxcQchbWtrS3Nz82+6aEZt\nbW2H9DSlUnlDTe5aU3q72ba4uLhDsRUrK6vrUqZuxcSbmZeH0by5eBiryPnmOwStlmGCDPONJxjz\n1GN8X3iAjOpc2rRtrDu3jSM5x3nc/2G87Ty7XdvU1JSqsgIemTWI0V4m7Iq9QH69JTnFhoC9C1lV\nXMiqwsHGjNDx7kwLHIOF6d0pnHMzlJaW4ubmJl6bmZnd89amEhIS9562ikpqzhpKVfca5odJJ7FD\nV/PbVSHvIqamphQWFgIGn3B+fv5vWmiDoZrapUuXREGQk5ODlVXXDTzq6+tRq9UA1NXViW0+hw4d\nyuHDh8Vxp0+fxtbWltraWsBQ6rW+vp6YmBh27NjBrl272LlzZ5f7BAUFERUdjWPIdIa+vxq9haEa\nWlNOLhXv/JPnZP4M0bhjZmR4kMirK+IvB//B5yfXU9/a0OW6ADNmzKCuro6IiAgqykv50xNhfPJS\nMH//3yDGDnVGfsXtXl7dzLcRqax8N5pXP9pFRPSRG657txg4cKBYix4MVo9294SEhMT9S/mhWDF3\n23HGtG7HSz7uLti/fz+tra20trYyY8YMrK2tu5/0X051dTUHDx5EpVJhZmbG1KlTuxzb1tZGZGSk\nmLo0d+5c0QqRm5vL6dOnMTIywtHRkREjRvD222+jUChoampiwYIF9O7dW+yWVVhYSG5uLuPHj+90\nrwsXLvD999+jUqnoY2vL5FYN1Yknxfu9gsbi9MRyfkqPIi4vUXzd3NiMZX7zmeIRhFx268+gpVVN\n7DmWw/7EPJpaO/Yf79NLz5OLghjhbd9t+dOepKioiBMnTmBkZIStre11aXkSEhL3F4Jez+mn/pe2\n8gqUVlYEfPcVxWVlN5R9kuCWuGO2b9/OrFmzMDMzQ6/Xs2rVKtauXdvBhH5t1PaNEASB0r3R5Hz/\nI8KVntgqZye8X3mZfEst35zeTGF9iTje06Y/fxj5EANs3W7r/C1tWj7+djf59RYUVTR1uNfXwYLQ\nCR5MGdUPlYnkWZKQkOhZas8lk/r2XwFwmReK+2OPdiv7pG+i3yg7duxAoVCg0WhwcXG5LmBLEAS2\nbt2KSqVCrVbj4eHByJEje2TvhIQESkpKUCqVCIKAsbGxGJ0ul8vx9fXlyJEjTJkyBYCkpCQGDBhw\n3TrR0dG0traSlZVFXV0d/v7+tLS0MG/ePA7VVtNrzkwUe6Kx1GhoLSnl3J9exWr2TAIsBmBvbEWK\nJgOdTE9WdR6vH1hLsPtYlvrNp5fK4AKorq4mKioKS0tLGhsbmTJlCk5OTtedw9REyWAX+PPTUzmT\nXk5kfDZn0ssBKCxv5PPtKXy7M5k5EwYwN8gDB5t7nyImISFxf1K674D4s+O0rq2gVyMJ7t8gsbGx\nHWqhHzp0iNLS0g5CKTo6munTp9O7d28AIiMj8fLyuuOWkiUlJbS1tfHAAw8AhmC1L774grlz54om\nZVNTU2xtbcWSp46OjtdFmZ8+fRp3d3f69OmDXC7Hzc0NuVxO3759+dvf/sbbb7/NyZMn6ff+e1z6\n13+wyMlDptfTsHsvQwYPYsELz1NnKmdt1L8oxCBkD+ccJ7HwLIt95xLiFUxMTAxLly4Vz/XTTz+J\n9civxcvLi0OHDjJ16lScLDWE6zMoabUhowza1DrUOhk7Dmex60gWY4Y6EzbBk8HuNvfUjC4hIXF/\noamvF92Clj7emLn2u6l5kuD+DdLQ0NAhQtzPz4/09PQOgluj0YhCGwztQAsLCxk0aNAd7Z2VlYWf\nn5947eLigre3Nxs3bsTa2prGxkYCAwPx9PRk2LBhXa5TVFREWFgYly9fxsvLCx8fHyIjIxkyZAhg\niOyvrq5m/PjxXJoVgrvSmPxvvkPX3Ez9xTTO/vElPJ54jGDVSDzG+PD9mZ8pqC+hRdPKj+e2cTD7\nGN6qvh0Eq7l5121AfX19sbKyIjIyEltbW8b5D8bZ2Rnr3vbsS8xj97EcKmpa0AuQkFJCQkoJdhbg\n2weeXjYDC/M7L48qISHx+6I89gjClcBfx+ndB6W1Iwnu3yD29vZkZ2fj4eEBGEzRVzf5AEOrzZKS\nElHAp6amEhIScsd7+/j4kJSUJK6VlZWFp6cnY8aMuaV1PDw8OHfuHN7e3kRFRVFfX8+gQYMoLS3F\n2NiYxsZGnJ2dSU9Pp7KyEpdly7jU2EDbrgisqmrQt7aS+dl/MO/Xl4GTglkb8gb7Mo+w5cJugjRU\nNQAAIABJREFUmjUtFNaXUEgJNXEtrBjxIM4WDjQ2NnZ5HrVazccff4ypqSnNzc3MmDGDsrIyQ3ey\nyV4MdzMi9mQWGZUmpGZXAVDZCEfS4djbe3hg6mDmBHnQ20qqdiYhIdE9giBQfuAgAApTU+yCuq9P\n0Y4UnPYbJSYmhra2NjQaDZ6engwfPvy6MZGRkQiCgFqtxtfX94617XbOnTtHVlYWRkZGmJiY3PYD\nQVxcHNXV1RQVFVFbWytGoc+ePZsdO3ZgYmJCYmIiHh4e9O7dm/79++Pi7Mzpb76j17kUZFd6nyut\nrPB44jHsJoynvq2BTSm7OJxzHOFKJ3A5MjwEF56f9jjOdtf7uAFef/11XnjhBbFG+7PPPsuTTz5J\nZmYmRkZGKJVKZs+eDcAbf/0nZi4BJF2uRav7pf2eUiFjwvA+hE3wZEC/Xrf1mUhISPw+qE+7xPk/\nvwEYUsAGPPuMeE8KTrtPuRlhebcqbg0fPrzTB4VbZeLEiYDhyfPAgQO0tLQQEBCAUqlk0aJFAJ1G\nos99602aCwq5/PGnNGVloa2v5/JH/0dF3FE8n3mSZwKXEzJgIj+e20ZaRSZ6BDJlRbx59COWDAll\nqkcQCnnHojEymaxDYxU3NzecnZ07NffrWyp47bEg6prURCfksvPIZZrbBLQ6gdjThcSeLmSQmw1h\nEz0YO8QZhUIqlyAhIdGR4l2R4s+OM6bf0lxJcP9GOXToEI2NjWg0Gnx8fPD19b3re8bGxlJfX09O\nTg6CIGBra0tGRgYBAQFoNBrmz58vpoCdOXOGvLw8ZDIZdnZ2XeZwC4LA+vXrCQsLo1evXkRGRjJ0\n6NAOFcQ6w6xfX/w++DtF4Tsp+HkrglZLzakkzl68iNujK3GfPpV3Jr/EicIzbDgXTkVzNQ1tjXxz\n+ie2nIlghMIb/75+jB49GjCYytevX4+1tTWtra2kpaVhZ2fX6d5jx47ls88+49FHH2W0lzFnDx1n\nfOgKYs+WkVloqLGelltNWm41dr1MmRPkTsiY/liaSe08JSQkoKWklKoThpoUVoMHYel1fdbNjVC8\n884779yFc/UI9fX1rFu3jpUrV96wytfvjZMnT2Jvb09QUBCDBw8Wr3uif3RXnD59mrq6Ompra8nN\nzcXLy4v6+npCQ0MxMTFh9OjRREdH4+PjQ0FBAaWlpcyaNQsfHx+qqqq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mAAAg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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# With Seaborn's regplot() you can easily plot higher order polynomials.\n",
"plt.scatter(auto.horsepower, auto.mpg, facecolors='None', edgecolors='k') \n",
"sns.regplot(auto.horsepower, auto.mpg, ci=None, label='Linear', scatter=False)\n",
"sns.regplot(auto.horsepower, auto.mpg, ci=None, label='Degree 2', order=2, scatter=False)\n",
"sns.regplot(auto.horsepower, auto.mpg, ci=None, label='Degree 5', order=5, scatter=False)\n",
"plt.legend()\n",
"plt.ylim(5,55)\n",
"plt.xlim(40,240);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Table 3.10"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
" mpg cylinders displacement horsepower weight acceleration year \\\n",
"0 18 8 307 130 3504 12.0 70 \n",
"1 15 8 350 165 3693 11.5 70 \n",
"2 18 8 318 150 3436 11.0 70 \n",
"\n",
" origin name horsepower2 \n",
"0 1 chevrolet chevelle malibu 16900 \n",
"1 1 buick skylark 320 27225 \n",
"2 1 plymouth satellite 22500 "
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"auto['horsepower2'] = auto.horsepower**2\n",
"auto.head(3)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
" | coef | std err | t | P>|t| | [95.0% Conf. Int.] | \n",
"
\n",
"\n",
" Intercept | 56.9001 | 1.800 | 31.604 | 0.000 | 53.360 60.440 | \n",
"
\n",
"\n",
" horsepower | -0.4662 | 0.031 | -14.978 | 0.000 | -0.527 -0.405 | \n",
"
\n",
"\n",
" horsepower2 | 0.0012 | 0.000 | 10.080 | 0.000 | 0.001 0.001 | \n",
"
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"est = smf.ols('mpg ~ horsepower + horsepower2', auto).fit()\n",
"est.summary().tables[1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figure 3.9"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"regr = skl_lm.LinearRegression()\n",
"\n",
"# Linear fit\n",
"X = auto.horsepower.reshape(-1,1)\n",
"y = auto.mpg\n",
"regr.fit(X, y)\n",
"\n",
"auto['pred1'] = regr.predict(X)\n",
"auto['resid1'] = auto.mpg - auto.pred1\n",
"\n",
"# Quadratic fit\n",
"X2 = auto[['horsepower', 'horsepower2']].as_matrix()\n",
"regr.fit(X2, y)\n",
"\n",
"auto['pred2'] = regr.predict(X2)\n",
"auto['resid2'] = auto.mpg - auto.pred2"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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VNHuC4AshiWBbc1MCLF++nKFDh6LX69XHiykpKV6l6REEQRACh4zZQmOgZ8+e5ObmkpOT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\nAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1,ax2) = plt.subplots(1,2, figsize=(12,5))\n",
"\n",
"# Left plot\n",
"sns.regplot(auto.pred1, auto.resid1, lowess=True, ax=ax1, line_kws={'color':'r', 'lw':1})\n",
"ax1.hlines(0,xmin=ax1.xaxis.get_data_interval()[0], xmax=ax1.xaxis.get_data_interval()[1], linestyles='dotted')\n",
"ax1.set_title('Residual Plot for Linear Fit')\n",
"\n",
"# Right plot\n",
"sns.regplot(auto.pred2, auto.resid2, lowess=True, line_kws={'color':'r', 'lw':1}, ax=ax2)\n",
"ax2.hlines(0,xmin=ax2.xaxis.get_data_interval()[0], xmax=ax2.xaxis.get_data_interval()[1], linestyles='dotted')\n",
"ax2.set_title('Residual Plot for Quadratic Fit')\n",
"\n",
"for ax in fig.axes:\n",
" ax.set_xlabel('Fitted values')\n",
" ax.set_ylabel('Residuals') "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figure 3.14"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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R0gCjifPn8y5u2TLgueeYEGgwMPHw2jU+7+xZNSqr1zN5ztF20/37M8prNNJ6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\nBEEQLEASaUEQBEEQBEGwgP8PhEnfdnF/Gq8AAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1,ax2) = plt.subplots(1,2, figsize=(12,5))\n",
"\n",
"# Left plot\n",
"ax1.scatter(credit.Limit, credit.Age, facecolor='None', edgecolor='r')\n",
"ax1.set_ylabel('Age')\n",
"\n",
"# Right plot\n",
"ax2.scatter(credit.Limit, credit.Rating, facecolor='None', edgecolor='r')\n",
"ax2.set_ylabel('Rating')\n",
"\n",
"for ax in fig.axes:\n",
" ax.set_xlabel('Limit')\n",
" ax.set_xticks([2000,4000,6000,8000,12000])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Figure 3.15"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"('Age/Limit\\n', 520.01499999999999)\n",
"[-2.29148553 0.17336497]\n",
"('\\nRating/Limit\\n', 520.0150000000001)\n",
"[ 2.20167217 0.02451438]\n"
]
}
],
"source": [
"y = credit.Balance\n",
"\n",
"# Regression for left plot\n",
"X = credit[['Age', 'Limit']].as_matrix()\n",
"regr1 = skl_lm.LinearRegression()\n",
"regr1.fit(scale(X.astype('float'), with_std=False), y)\n",
"print('Age/Limit\\n',regr1.intercept_)\n",
"print(regr1.coef_)\n",
"\n",
"# Regression for right plot\n",
"X2 = credit[['Rating', 'Limit']].as_matrix()\n",
"regr2 = skl_lm.LinearRegression()\n",
"regr2.fit(scale(X2.astype('float'), with_std=False), y)\n",
"print('\\nRating/Limit\\n',regr2.intercept_)\n",
"print(regr2.coef_)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Create grid coordinates for plotting\n",
"B_Age = np.linspace(regr1.coef_[0]-3, regr1.coef_[0]+3, 100)\n",
"B_Limit = np.linspace(regr1.coef_[1]-0.02, regr1.coef_[1]+0.02, 100)\n",
"\n",
"B_Rating = np.linspace(regr2.coef_[0]-3, regr2.coef_[0]+3, 100)\n",
"B_Limit2 = np.linspace(regr2.coef_[1]-0.2, regr2.coef_[1]+0.2, 100)\n",
"\n",
"X1, Y1 = np.meshgrid(B_Limit, B_Age, indexing='xy')\n",
"X2, Y2 = np.meshgrid(B_Limit2, B_Rating, indexing='xy')\n",
"Z1 = np.zeros((B_Age.size,B_Limit.size))\n",
"Z2 = np.zeros((B_Rating.size,B_Limit2.size))\n",
"\n",
"Limit_scaled = scale(credit.Limit.astype('float'), with_std=False)\n",
"Age_scaled = scale(credit.Age.astype('float'), with_std=False)\n",
"Rating_scaled = scale(credit.Rating.astype('float'), with_std=False)\n",
"\n",
"# Calculate Z-values (RSS) based on grid of coefficients\n",
"for (i,j),v in np.ndenumerate(Z1):\n",
" Z1[i,j] =((y - (regr1.intercept_ + X1[i,j]*Limit_scaled + Y1[i,j]*Age_scaled))**2).sum()/1000000\n",
" \n",
"for (i,j),v in np.ndenumerate(Z2):\n",
" Z2[i,j] =((y - (regr2.intercept_ + X2[i,j]*Limit_scaled+Y2[i,j]*Rating_scaled))**2).sum()/1000000"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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2ELeBVWVlvd+ty8vrfbv+I4xGo+n/GRkZfPnllwwcOBCDwUBOTs4t1a2uriYm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3xFUZg0aRJGo5G8vDxPke3n59eNKcXVkgLbC6SkpFBTU8OxY8cICwvTfCaDoFnfQO/Tj6qPfkf5\nH58g4lsvYdNwhb2epOh0GGJjMcTGYpl14SJQ7ehAbWlBbWlFdTpAVUFVUUxmsFjQWS29duq860FV\nVaqWvE7rsd3YhqcSPP8RrSOhqiq7du0CYNy4cRqn6Vt0Oh0mk0nrGEL0Oaqqcvr0ac6cOUNAQABx\ncXGe587dPGkwGNi1axfLli1j3rx5BAYGapj4xiaziHiBczcrmM1mcnNzOXPmjNaR8E9ZQMRDL4Pq\npuKdH2PP/UzrSF5DMZnQBQSgj4zoLMYHDMAwcGBnL3VQoBTX/6Fu5budNzVGJdD/vp+h6PRaR+LE\niRNUV1cTFxcnY6+FEL2Coig0Njbidrs5evQou3fvPm+b5ORkJk2aREtLC8uXL6e2tlaDpAKkwPYa\n/fr1Y9asWaiqytq1a2lqatI6Er4jJxP1vT+gt3b2Zld/8gaqy6l1LNGL1K/7kLrVf8MYEkXUo79H\nZ9H+5hun08mOHTvQ6XSMHz9e6zhCCHHFkpKSGDt2LBkZGTQ3N19wyfQRI0aQlpZGW1sbK1asoLq6\nWoOkQgpsLxIVFcWkSZNobW1l9erVXjF5vHXQcGJ+8GdM/QfSsHExFf/7Q1zNjVrHEr1Aw+ZPqfns\nTfT+IUQ99joGP+9YGGffvn00NzczcuRIGaMohOiVduzYQWVlJXa7nZqamvPqhaFDhzJt2jQ6OjpY\nsWKFV1wZv9FIge1lhg0bRlJSErW1teTk5OD2giW+jSFRRD/1Z2zDUmg5tovS3z5EW9n5M20IcU79\n+o+oXvwa+n6BRH33NYzB598drwW73c6+ffvw8fFh9OjRWsfpkw4fPsy9997L0qVL+fvf/859991H\nY6N8KRfiWjidToqLizl8+DC5ubmsWbOGTZs2UVNTw6xZs6ivr2fVqlVkZWWd15udmJjIjBkzcDqd\nrFy5koqKCo1exY1JbnL0MoqikJaWRlNTE6WlpWzdupXU1FTNZ5zQW21EfPtX1GW91zlX9uuPEnrn\nk/hNmq95NuE9VFWlfu0/qF3xDnr/EKK/94ZXTMcHndm2bNmC2+0mJSVFbsS7ToYNG8Y//vEPrWMI\n0eu53W727NnDgQMHyMzMxN/fH1VVCQsLAzpn7KmursZmszF58uQLnovj4+PR6XTk5OSwatUqMjIy\niI6O7umXckOSHmwvpNPpmDVrFkFBQRw5csSz0pzWFJ2O4MyHiHzkNygmC1Uf/oYzf/s5rpazWkcT\nXkB1u6he8jq1K97BEBhO9BNveU1xDZ2Ln5w6dYqYmBgGDRqkdRwhhLgknU5HcnIysbGx1NbWEh0d\nTUxMDGazGbPZTEVFBXv37mXixIkEBARccDw2wKBBg0hPTwcgKyuLkpKSnnwZNywpsL2UyWRi7ty5\n+Pr6smvXLo4ePap1JA/b0EnEPvNXLAOH07Q3h9JfP0Drif1axxIacre3cvrd57Bv/hRTRBzRT/4J\nU2jU5XfsIU1NTWzduhWj0XjRnh4hhPA2JpOJjIwM7HY769evx+nsnGjAbrezefNmxo4dS2RkJKqq\noijKRYvs2NhY5syZg6IorFmzhqKiop58GTckKbC9mM1mIzMzE4vFwubNmzlx4oTWkTyMQf2J/v6b\nBM15EGdDNeV/eJyaZW/jdlzBIiyiT3HUnaH8D9+j+VAu1pvGEv3knzAGes/CLaqqsnHjRhwOB5Mm\nTZIVzoQQvc7kyZOJiIjg8OHDNDY2smHDBgYPHszgwYMBPJ0GiqLgdrtpa2s7b8x1VFQUmZmZGAwG\ncnJyKCws7PHXcSORAtvLBQQEMHfuXIxGI+vWraO4uFjrSB6K3kBw5kNEP/FHDEHh1Gf/k7LfPERb\n8WGto4ke0nJsN2W/fZj2smP4TZxH1CO/RW/1rgL20KFDnqEhN910k9ZxhBDimiQlJWE2m/n444+x\nWCyMGTPmgtuVlJSwd+9e9u/fz8aNG7tMlhAREUFmZqanpjh2TCYsuF6kwO4FQkNDmTt3Lnq9nuzs\nbEpLS7WO1IU1fhQDfvw3/KfcQUdlMWWvP0rNij9rHUtcR6rbTd3aDzj1p6dxtTURetd/E3bPj1EM\nRq2jdVFTU8OOHTuwWCxMnTpVhoYIIXq1pKQkZs2ahcPhoKqqCuC8YSFtbW34+Pgwd+5crFbrefdx\nhYeHM2/ePMxmMxs3bvSqIah9iRTYvUT//v27jJ/ytiJbZ/Yh7M6niHr8jxhDItH7+F92n7biwzQd\nyr3omDHhnZz2Gk69/TS1y/8XvV8Q0U+8SUDarV5XvLa3t5OdnY3b7Wb69On4+Gi/yI0QQnxVAwcO\nJDU1FbPZTFtbm6ftLSsr4+DBg5w4cYKWlhag8yp4a2vreefZ0NBQbrnlFs8Q1EOHDvX46+jrpMDu\nRSIjI7sU2d40XOQcn8HJxP74bwRMvfOS2zUf2U71Z2/RtG89pb9+QIaV9BJn89ZT8up9tB7bjc+w\nFGKfeQ/roOFaxzqPqqqsX7+exsZGRo8eTUxMjNaRhBCi2wQGBuLn58euXbtoaGigurqaoqIidDod\nEyZMoKKigjVr1nD48GEGDRp0wQ6Q4OBg5s+fj9VqZevWrRw4cECDV9J3yTzYvUxUVBRz584lKyuL\ntWvXMn36dBISErSO1YXOaL7sNj5J4zEEhmGOiKNx9xqaDmzGHDuEtpMH0Vl8MEcN7oGk4ko5G+uo\n/uR/aMpbh2I0EbroB/h7Ya/1OXl5eZSWlhIVFcXYsWO1jiOEEN1OURRSU1PR6XScOXMGg8FAfHw8\nFouFiRMn0tjYSEJCAiaTyTPLyH8KDAxk/vz5rFixgu3bt+NyuUhOTtbg1fQ90oPdC0VGRnruBF63\nbh1HjhzROtJVU3Q6zBFxADTtW0/76SKaD26m8sPfcOZvv9A4nThHdbuxb11OySvfpClvHZaBw4h9\n5n0CJt/mtcX1yZMn2b17NzabjRkzZqDTSTMnhOibzrVvra2t2O12LBYLANu3b8fpdHoW1LpUex0Q\nEMCCBQs80wLv2bPn+ge/AUgPdi/Vv39/5s+fz8qVK9myZQttbW0kJyd7bdHzn1S3m/by4zQf3oar\nqYGo7/wencWH2qz3CM582LONIsWRZtrKjlO9+Pe0FR9GMVsJveP7+E++HUWn1zraRVVXV7Nu3ToM\nBgMZGRlYrVatIwkhxHU3aNAg7HY7y5cvx2AwEBISwsiRI694fz8/P09P9p49e3C73YwdO7bX1BTe\nSArsXiwkJIQFCxawcuVKdu/eTXNzs+dykTdrObaLhk2fouj0WAYNI+LBl9BZfDoXq3G78B2RBtCl\nuHY21tF8ZBu2IRMw+IdoFf2G4KivpHblXzi7cxWoKr5jZhJ66/cwBIRqHe2SmpqaWL16NS6Xi/T0\ndEJC5H0ihLhxjB49mtjYWPR6Pf7+nRMNXGxoyIX069fPU2Tn5eXhdrsZP368FNnXSArsXi4gIICF\nCxeSlZXF0aNHaW5uZubMmRiN3jVdGoDb0UH9mr/TdHAzEd96CVNYbJfn63P+H37j5wJde69Vt5v2\nsnxqV7xD4/YVmKMT8U+9FXOELHfdnVzNduqz/0nDpiWojg5MkfGE3vY9fG4ap3W0y2pra+OLL76g\npaWFiRMnMnDgQK0jCSFEjwsKCvL899UU1+f4+vp6iuz9+/fjdruZOHGiFNnXwLu7OsUVsdlszJ8/\nn+joaEpLS1m2bBlNTU1ax7ogndUXVDdn966jrTTf87ij9jQdp0/il7IA6Np77W5ppPXkIUIWPkbM\nk29jjhhE88HNPZ69r3I126n94l2Kf76I+pz/h94WQPg3nif2mb/2iuK6o6ODVatWYbfbGTly5FVd\nFhVCiL7qWoviczVFYGAgBw8eJDdXptO9Fl5fYNfU1DB+/Hh27dqldRSvZjKZmDNnDkOGDKG2tpal\nS5dSWVmpdawudEYTgTO+Rsx/v4uhXwA1y96mLvufdFSV0rBxMb43z0Rv9UV1u7rs11FdTsuR7Z5F\nTPxTbyUo/T7g/An2xZVz1J6m+pP/4eTP7qBu9fsoJjMhtz3BgJ/8C78Jc716rPU5TqeT1atXU11d\nTWJiIhMmTNA6khBCeKXW1laysrJobGy87LY+Pj7ccsstBAUFceTIEbZs2SLn26vk9UNEfvvb38oc\ntldIp9ORlpZGQEAA27dvZ/ny5UyePNnrlofWGc34p96Kf+qttJUdo3b5OzQd2Oi5ufFcYffly1vW\nwck0H9xM0/4NhH/tR+gsnYuGyGWrq6OqKm0nD9KwcQlN+zeC24UhIIyAed/GP2UBOnPvuSnwXHF9\n+vRpBg0axJQpU+T9IIQQF1FUVERpaSnV1dVkZGQQFhZ2ye2tViu33HILX3zxBUePHkVVVSZPnizt\n7BXy6gJ7+/bt+Pr6kpiYqHWUXkNRFEaMGEFgYCA5OTls3LiRmpoaJk6ciF7vfT2SlpibiHjol7SV\n5nN2Vxb2rcvxGz8Hd1szet8AnPYarIOGexYzOf3+z2gvP441YbTGyXsXV3MjZ/esxb5tOR2nCgEw\nRcYTOOMe+t08C0Xv1U3BeRwOB2vWrOHUqVMMGDBApuMTQojLGDZsGABbt25l+fLlTJ8+nbi4uEvu\nY7FYmDdvHitXriQ/Px+3282UKVOkvb0CXntWdTgcvPXWW7z99tu8/PLLWsfpdaKjo7n11ls9KzlV\nV1cza9YsfH19tY52QZbYJCyxSahuN23Fh2gt3E9Q+r2c3ZuDKSwW27BJAHScKUZnsWmctndwOzpo\nObqDs7vX0HxwC6rLATo9vqOm4T/lDqwJo3tlT0RHRwdZWVmcOXOGAQMGMGvWLK/88iiEEN5m2LBh\n9OvXj5ycHLKzsxk/fjyjRo265Lngy0X28ePHUVWVqVOnSpF9GV5RYC9evJglS5agKIpnWEBaWhp3\n3XWXpyCUsT9Xz9/fn1tvvZXNmzdTWFjIJ598wowZM7x6yI2i02GNG4k17t83qikK9Rs+QjFZaDt5\nEH2/QEyXmD3kRp87293RTsuxXf8eTrMRd2vnza6m/gPxmziPfmMzMPgFXeaveK/W1lZWrVpFTU0N\ncXFx0nMthBBXKTY2lgULFpCVlcXOnTux2+1Mnjz5km2p2Wz2FNkFBQWoqsq0adOk/b0EryiwFy1a\nxKJFi7o8ds8997BlyxY++OADSktLOXjwIG+88Qbx8fEapeydjEYj06dPp3///mzdupVVq1YxcuRI\nxo0b1yt6/QKn3YUpLIaG9R9hiRtB2B1PXnI4Q+OOldTn/BOfpAn4JN6MNWEUeh+/Hkzc8xy1p2k+\nsp2WoztoOb4btaMNAL1/CAGTbqHfzbMxRyf2yt7qL2tsbGTlypU0NjaSlJREWlqaNO5CCHENgoOD\nufXWW1m9ejXHjh3j7NmzzJ49G7PZfNF9TCYTmZmZrFq1isLCQlRVZfr06dIOX4RXFNgX8q9//cvz\n388++yy33367FNfXSFEUhg4dSlhYGDk5ORw4cICKigpmzJhBQECA1vEuyzZ0Erahk65oTk93SyNO\new32TUuwb1oCioI5ajCWuJFY40ZgGTQcQ0BYry02VVXFWXeG1qKDtBbspbVgL47aCs/zxrBYfEek\nYRuRhmXg8D7Tm19ZWcnq1as9K5bKCmNCCPHVnJuOb926dZSUlPD5558zZ84c/Pwu3illMpmYO3cu\nWVlZnDhxAlVV5UriRXhtgS26X0hICLfffju5ubkcP36cTz/9lAkTJjB06NBeUaxcScbAmV8nYOoi\n2ooP0/LvArTt5GHay493FtyAvl8Q5tgkrINGYAyNwhwZjzEkyutu9FPdbpwNVbSfKqS9/Djt5QW0\nlRzB1Vjr2UZn9cU2YjI+SeOxDRmPMSRKw8TXx4kTJ9iwYQNut5u0tDSGDh2qdSQhhOgTjEYjs2fP\nZufOnRw4cIDPPvuM9PR0+vfvf9F9vlxkFxUVoaoqM2fOlCL7P3hXRXERr776qtYR+gyj0ci0adOI\niYlhy5Yt5ObmUlxczNSpU732BsirpRiMWBNGd840MvdbuB3ttJcdo7XoIG3Fh5Ihk1oAAB0zSURB\nVGkvO0bL4a20ndiPu625cye9AVNINMbwGIwhURiDIzEGR2AICMMQEIrO2u+6fAlRXU6cDdU4G6pw\n1J7GUXMKR00FHVWldJwpRu1o7bK93j8E26ipWAeNwJowGnP04F4xX/W1cLvd7Nmzh7y8PM9JIDY2\n9vI7CiGEuGI6nY6JEyfi5+dHbm4uX3zxBVOnTiUhIeGi+xiNRubMmUNWVhYnT54kOzubmTNn9oqh\npz2lVxTYovvFx8fTv39/Nm3aRFlZGYsXL2bixIkkJSX1it7sq6EzmrveOAk4z9bTfqqQjooTtFec\noKOyGEdVGR2VxRf8G4rRhN43AL1vIHqbPzqLDZ2PLzqTFcVo7vzR6UGn67xZ1+0GtwvV5UR1tON2\ntONua8HdchZX61ncTXacTfW4m+0X/vf0RozhsZj6D8QcEYc5OhFz9GAM/iHX4xB5nfb2dtatW0dZ\nWRn9+vUjIyOjyxLAQgghutfQoUPx8/Nj7dq1rFu3DrvdzpgxYy5aExiNRk9PdnFxMdnZ2TKr05dI\ngX0Ds9lszJkzh2PHjrFt2zY2b97MiRMnmDx5Mv7+/lrHu64M/QIxJI3DlvR/S4GrqorrbD2O2goc\ntRU4a0939i7bq3Haa3A1NXT2Kjvav/K/r7P5Y/ANRB8R19lLHhiGISAMY2g0ptCoznHiXjZkpadU\nV1eTnZ3N2bNniY6OZsaMGVgsFq1jCSFEnxcdHc3ChQtZvXo1e/bswW63M3Xq1IsWzQaDgTlz5rB6\n9WpKSkqkyP6SG/MMLjwURSEpKYno6Gi2bNlCaWkpS5YsITk5mVGjRt1QHxJFUTD4BWHwC/IsbHMh\n7o523G1NuFubcXe0dvZQd7SD2wWqiqq6URQd6PQoej06kwXFZEFnsqDz6YfOYuuzwzq+ClVVOXTo\nEDt27MDtdpOcnMzNN98s4/qEEKIHBQUFeWYYKSwspKmpifT09It2dBgMBjIyMjxF9tq1a5k9e/YN\nVT9ciBTYAgBfX18yMjI4efIkubm57N69m8LCQlJSUoiOjtY6nlfRmczoTGbwC9Y6Sp/R0tLCpk2b\nKC0txWq1Mn36dHnfCSGERs4tk75hwwaKior47LPPyMjIIDAw8ILbf7nILi0tlSIbkK4h4aEoCnFx\ncdx9990MHTqUhoYGVq5cyZo1azh79qzW8UQfVVRUxJIlSygtLSUqKoo77rhDimshhNCYwWBg5syZ\nJCcn09jYyGeffUZpaeklt8/IyCA6OtpTZLtcrh5M7F2kwBbnMZlMpKWlcfvttxMeHk5xcTEff/wx\nu3btoqOjQ+t4oo9oa2tj3bp1ZGdn43A4SElJITMzEx8fH62jCSGEoLPjbdy4ccyYMQO3283q1as5\ncODARVfXNhgMpKenS5GNFNjiEkJCQliwYAHTp0/HYrGQl5fHRx99xJEjR3C73VrHE72UqqoUFBTw\n8ccfU1hYSGhoKHfccQfDhw/vczPYCCFEX5CQkMD8+fOxWq1s376dDRs24HQ6L7itFNmdpMAWl6Qo\nCoMHD+auu+5izJgxOBwOtmzZwuLFiz0TzAtxpc4NO1q/fj0Oh4MJEyawcOHCXrGiqBBC3MjCwsK4\n7bbbCA0NpaCggOXLl9PU1HTBbaXIlgJbXCGj0cjYsWP52te+xtChQ2lsbCQ7O5ulS5dSWloqhba4\nJIfDwa5du1iyZAmnTp0iJiaGRYsWMWrUKJklRAgheolzy6snJiZSXV3N0qVLOXPmzAW3vVCRfSNd\n/ZYzm7gqPj4+pKWlcddddxEfH09NTQ1ZWVl89tlnlJSUSKEtunC73eTn5/PRRx+Rl5eH1Wpl9uzZ\nzJkzBz8/P63jCSGEuEoGg4GpU6eSkpJCW1sby5cv58iRIxfdNj09naioKEpLS9mwYcMNUyfINH3i\nmvj7+3vuLt6zZw8nT55k9erVBAcHk5yczMCBA6Vn8gamqirl5eXs3LmT2tpa9Ho9Y8aMYdSoURiN\nRq3jCSGE+AoURWH48OEEBQWxdu1atmzZQk1NDampqedNzXeuyF65ciWFhYWYTCZSU1P7/D03UmCL\nryQoKIjZs2dTV1dHXl4eRUVFZGdn4+/vz4gRI0hMTMRgkLfZjeT06dPs3r2b06dPA5CYmMjYsWPx\n9fXVOJkQQojuFBkZye23386aNWvIz8+nvr6e2bNnnzcblNFoZM6cOZ7ebrPZzLhx4y7yV/sGqXxE\ntwgKCmLmzJncfPPN7N+/n4KCArZs2cKuXbsYMmQIw4YNw2azaR1TXCeqqnL69Gn27NnjKaxjY2MZ\nN24cwcGyIM+N5NVXX2X//v0oisJzzz3HiBEjtI4khLiO+vXrx8KFC9m4cSMnTpzg008/Zfbs2YSH\nh3fZzmw2k5mZybJly8jLy8NisfTp9kEKbNGtAgICmDp1KuPGjePw4cMcOXKEffv2sX//fuLi4hg6\ndCj9+/fv85eGbhSqqlJaWsr+/fs9N7rExMQwZsyY8xpX0fft2rWLkpISPvzwQ06cOMHzzz/Phx9+\nqHUsIcR1ZjAYmDFjBqGhoezYsYPly5eTlpZGUlJSl+18fHw8Rfa2bdswm80kJiZqlPr6kgJbXBc+\nPj6MGzeO5ORkCgoKOHToECdOnODEiRMEBgaSlJTE4MGDsVgsWkcV18DhcFBQUMDBgwex2+1AZ4/1\nmDFjCAsL0zid0Mq2bduYNWsWAPHx8TQ2NtLc3CxXr4S4ASiKwsiRIwkKCiInJ4dNmzZRU1PDpEmT\nuozL9vPzIzMzk+XLl7Nx40bMZjMDBgzQMPn1IQW2uK4MBgNDhgwhKSmJ06dPc/ToUU6ePMm2bdvY\nuXMnAwcO5KabbiIyMlJuiuwFGhsbOXLkCPn5+XR0dKDT6UhMTPQ0quLGVlNTw/Dhwz2/BwYGUlNT\nIwW2EDeQ6OhobrvtNtasWcORI0eoq6tj1qxZXcZlBwUFkZGRwRdffEF2djbz5s2jf//+GqbuflJg\nix6hKAqRkZFERkbS2tpKQUEB+fn5nl5tHx8fEhISSEhIIDg4WIaQeBGXy0VxcTH5+fmcOnUKAKvV\nypgxYxgyZIgUT+KibpTpuIQQXfn5+XnGZRcVFfHpp5+Snp7e5Qpn//79mT17NqtXryYrK4v58+f3\nqXt2pMAWPc5qtTJy5EhGjBhBVVUVx44do6ioiAMHDnDgwAH8/f2Jj48nLi6OwMBAKbY1oKoqVVVV\nFBQUcOLECdrb24HOBnHIkCHExcWdNxWTEGFhYdTU1Hh+r6qqIjQ0VMNEQgitGI1GZs6cSUhICLt2\n7WLZsmXnjcuOjY1l+vTprFu3jpUrV7Jw4cI+s0aCFNhCM4qiEB4eTnh4OCkpKZSXl1NYWEhJSQl7\n9+5l7969+Pv7M2jQIAYMGEBoaKgMI7mOVFWlrq7Oc1Xh7NmzQOd4+pEjR5KUlCRLmotLSk1N5c03\n3+Suu+7i8OHDhIeHnzddlxDixqEoCqNHjyYkJMQzLru6upqUlBRPJ01CQgKtra1s27aNlStXsmDB\ngj7RbkiBLbyCwWBg4MCBDBw4EIfDQWlpKUVFRZSWlrJv3z727duH1WolOjqa2NhYoqKi5AbJbuB2\nu6msrKSkpISTJ096imqDwUBCQgKDBw8mKipKvtiIK5KcnMywYcP42te+hl6v54UXXtA6khDCC5wb\nl7127VqOHj3qGZd9bojhiBEjaGtrIy8vj6ysLG655RZMJpPGqb8aKbCF1zEajcTHxxMfH4/T6aS8\nvJySkhJKS0spKCigoKAARVEICQkhOjqaqKgowsLCZEGbK9TS0kJ5eTllZWWUl5d7hn8YjUbi4uI8\nVwzkeIpr8fTTT2sdQQjhhb48LvvL82Wfu7lx7NixtLa2kp+fz5o1a5g7d26vHoooZ1Dh1b7cs62q\nKrW1tZSWllJeXk5lZSXV1dXk5eWh0+kICwsjIiKC8PBwwsLCpIf731pbWzl9+jSnT5+moqKC+vp6\nz3M2m434+HjPVYHe3JgJIYTwbv85X/aKFSuYMGECw4cPR1EU0tLSaG1tpaSkhPXr1zNz5sxeex+W\nFNii1zjXax0SEsKYMWPo6OjwFI0VFRWcOXPGs9gJgL+/P2FhYYSGhhISEkJwcDBGo1HDV3D9OZ1O\n6urqqK6uprKykqqqKhobGz3P6/V6oqKiiImJITo6Wm4iFUII0aPOzZcdEhJCdnY227Zto6ysjGnT\npuHj48PMmTNZuXIlRUVFWK1WUlJSeuV5Sgps0WuZTCYGDBjgmaC+vb2dqqoqKisrPcXluSEl5/j7\n+xMUFERQUBCBgYEEBATg5+fX64ZDqKpKc3Mz9fX11NfXU1tbS11dHfX19bjdbs92ZrOZmJgY+vfv\nT0REBKGhodJLLYQQQnORkZHceeedbNiwgfLycpYsWUJqaipxcXFkZGSwbNkyDh8+jM1mY/To0VrH\nvWq9q6oQ4hLOFZMxMTFAZxFqt9upqqqitraWmpoaamtrOXnyJCdPnuyyr6+vL35+fvj5+dGvXz98\nfX2x2WzYbDZ8fHx6vOdbVVXa29tpbm6mubmZs2fPen4aGxux2+04nc4u++j1eoKDgwkNDfX03AcE\nBPTKb/5CCCH6Ph8fH+bOncvhw4fZsWMHOTk5FBYWkpqaSmZmJp9//jk7d+4kJiam182RLQW26LMU\nRSEgIKDL1HLnen7r6upoaGigoaEBu92O3W73DDW5EKPRiMViwWq1YrFYMJlMmM1mjEaj50ev13t+\nFEXx/KiqiqqquN1u3G43LpcLp9OJw+HA6XTS3t5OR0cH7e3ttLa20tbWRmtra5ee6C8zGAz4+fl5\nXltgYCDBwcH4+fnJbB9CCCF6FUVRGD58ODExMWzatImSkhIqKiqYMGECaWlpZGVlsWfPHtLT07WO\nelWkwBY3FEVR8PX1xdfXl9jY2C7POZ1OTy9xU1MTTU1NtLS0eH7a2tqorq6+rqvTGQwGrFYrwcHB\nnt5zm83m6VX38/PDarVKr7QQQog+xd/fn1tuuYVjx46xfft2tmzZQv/+/bFYLBQXF1NXV0dQUJDW\nMa+YFNhC/JvBYCAwMJDAwMCLbqOqKg6Hw9Pj7HA4PD8ul8vzc67XWlVVT0+2TqdDp9Oh1+sxGAwY\njUYMBgNms9nTI97bxoILIYQQ3UVRFJKSkoiJiSE3N5fi4mKg8ypyb+tYkrO5EFdBURRMJhMmkwlf\nX1+t4wghhBB9js1mIz09nbKyMpqbm4mLi+t1C89IgS2EEEIIIbzOuUkLeiO5I0oIIYQQQohuJAW2\nEEIIIYQQ3UgKbCGEEEIIIbqR147BXrp0KW+88YZnKrXU1FQeeeQRjVMJIYQQQghxaV5bYANkZmby\nzDPPaB1DCCGEEEKIKyZDRIQQQgghhOhGXl1g79y5k29/+9s8+OCDHD16VOs4QgghhBBCXJZXDBFZ\nvHgxS5YsQVEUz8p38+bN4/HHH2fq1Kns27ePZ555huXLl2sdVQghhBBCiEvyigJ70aJFLFq06KLP\njx49mvr6ek/xLYQQQgghhLfy2iEi7777Ll988QUAx48fJygoSIprIYQQQgjh9byiB/tC5s+fzw9/\n+EM+/PBDXC4XL7/8staRhBBCCCGEuCyvLbDDw8P5+9//rnUMIYQQQgghrorXDhERQgghhBCiN5IC\nWwghhBBCiG4kBbYQQgghhBDdSApsIYQQQgghupEU2EIIIYQQQnQjKbCFEEIIIYToRlJgCyGEEEII\n0Y2kwBZCCCGEEKIbSYEthBBCCCFEN5ICWwghhBBCiG4kBbYQQgghhBDdSApsIYQQQgghupEU2EII\nIbrNzp07SUlJYePGjVpHEUIIzUiBLYQQoluUlZXx/vvvc/PNN2sdRQghNCUFthBCiG4RFhbGW2+9\nha+vr9ZRhBBCUwatAwghhOgbzGaz1hGEEMIrSIEthBDiqi1evJglS5agKAqqqqIoCo8//jipqala\nRxNCCM1JgS2EEOKqLVq0iEWLFmkdQwghvJKMwRZCCNHtVFXVOoIQQmhGCmwhhBDdYuPGjdx7771s\n3ryZ1157jYceekjrSEIIoYk+M0TE5XIBcObMGY2TCCHE1TvXdp1ry3qjqVOnMnXq1CveXtptIURv\ndbk2u88U2NXV1QB84xvf0DiJEEJcu+rqagYMGKB1jB4h7bYQore7WJutqH1koFxbWxuHDh0iNDQU\nvV6vdRwhhLgqLpeL6upqhg8fjsVi0TpOj5B2WwjRW12uze4zBbYQQgghhBDeQG5yFEIIIYQQohtJ\ngS2EEEIIIUQ3kgJbCCGEEEKIbiQFthBCCCGEEN2oz0zT1xe9+uqr7N+/H0VReO655xgxYoTnuY6O\nDl544QUKCgr45JNPPI8vW7aMv/zlLxgMBp544omrmpO2N7jaY7JkyRI+//xzFEVBVVUOHz7M3r17\ntYp/XVztMWlpaeFHP/oRdrsdh8PBY489Rlpamlbxr4urPSaqqvKzn/2M48ePYzKZ+MUvfsGgQYO0\nii/6OKfTyY9//GMqKirQ6/W8+uqrREdHd9mmsbGRp59+GpvNxhtvvKFR0p5xqc/r1q1bef3119Hr\n9UyZMoXvfve7GibtWddSA/R1lzom27dv97xXBg0axMsvv6xhUkAVXmnnzp3qI488oqqqqhYWFqp3\n3313l+dfeukl9f3331fvuOMOz2P19fVqenq62tLSolZXV6s//elPezTz9XYtx+Q/93/xxReve86e\ndC3H5IMPPlBfe+01VVVVtbKyUp0zZ07PBe4B13JM1q5dqz711FOqqqpqaWmpZ38hroelS5d62qIt\nW7aoTz755HnbPPnkk+rbb7+tPvHEEz0dr0dd7vOamZmpnjlzRnW73erXv/51tbCwUIuYPe6rnu/6\nossdk/T0dLWyslJVVVV94okn1I0bN/Z4xi+TISJeatu2bcyaNQuA+Ph4GhsbaW5u9jz/9NNPe54/\nZ+vWraSmpmK1WgkJCeHFF1/s0czX27Ucky976623+lzvx7Uck8DAQOrr6wGw2+0EBQX1XOAecC3H\npLi4mJEjRwIQExPDqVOnUGUGU3GdfPk9mpKScsGrai+//DJjxozp6Wg97lKf17KyMgICAggPD0dR\nFKZOncr27du1jNtjvur5ri+63DH59NNPCQsLAyAoKIiGhgZNcp4jBbaXqqmp6VL4BAYGUlNT4/nd\nx8fnvH1OnTpFa2srjz76KN/85jfZtm1bj2TtKddyTM45ePAgERERBAcHX9eMPe1ajklmZiYVFRWk\np6dz77338qMf/ahHsvaUazkmiYmJbN68GbfbTVFREeXl5Z4vIUJ0ty+/RxVFQafT4XQ6u2xzqfas\nL7nU5/U/nwsKCqKqqqrHM2rhq5zv+qrLHRObzQZAVVUVW7du1XyIrIzB7iWupDdNVVUaGhr405/+\nRHl5Offddx/r16/vgXTauJoexsWLF3P77bdfxzTe4UqOybJly4iMjOTdd98lPz+f559/vk+P4buS\nYzJlyhTy8vL45je/yU033UR8fLz0YItusXjxYpYsWYKiKEDn+/HAgQNdtnG73VpE80qX+tzdyJ/J\nG/m1X8yFjkltbS2PPvooP//5z/H399cg1f+RAttLhYWFdflmVlVVRWho6CX3CQkJITk5GUVRiImJ\nwWazUVdX12eGAFzLMTln586dvPDCC9crmmau5Zjs3buXyZMnA5CUlERVVRWqqnoKgN7uWt8n3//+\n9z3/PXv27D53tUNoY9GiRSxatKjLY88++yw1NTXcdNNNnp5rg+HGPB1f6vMaFhZGdXW157nKykrP\nEIC+7quc7/qqyx2TpqYmvv3tb/ODH/yASZMmaRGxCxki4qVSU1NZvXo1AIcPHyY8PPy8S0Kqqnb5\nBpeamsqOHTtQVZX6+npaWlr6THEN13ZMoPNDaLPZ+uQJ7FqOyYABA9i3bx/QOazIZrP1meIaru2Y\n5Ofn89xzzwGwadMmhg0b1nOBxQ0nNTWVrKwsANatW8eECRMuuN2F2rO+5lKf16ioKJqbm6moqMDp\ndLJhw4Y+N+PRxVzr+a4vu9wx+dWvfsWDDz5IamqqVhG7UNQb6f9OL/Paa6+xc+dO9Ho9L7zwAkeO\nHKFfv37MmjWL73//+5w5c4bCwkKGDRvG3Xffzbx58/joo488lyO/+93vMm3aNK1fRre6lmNy+PBh\n3njjDd555x2t418XV3tMZsyYwbPPPkttbS0ul4snn3yS8ePHa/0yutXVHpPMzEyee+45CgsLsVgs\n/O53vyM8PFzrlyH6KLfbzfPPP09JSQlms5lf/epXhIeH88477zBhwgRGjBjB/fffT1NTE5WVlSQk\nJPDYY49dtBDv7S71ed29eze/+93vAJgzZw4PPPCAtmF70LWc7/q6ix2TtLQ0xo8fz+jRoz1XZOfP\nn3/e1aOeJAW2EEIIIYQQ3UiGiAghhBBCCNGNpMAWQgghhBCiG0mBLYQQQgghRDeSAlsIIYQQQohu\nJAW2EEIIIYQQ3UgKbCGEEEIIIbqRFNhCCCGEEEJ0IymwhRBCCCGE6EZ9b+1oIS5jz549npWgysvL\nmTNnDikpKVrHEkIIcQHSZoveS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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(12,5))\n",
"fig.suptitle('RSS - Regression coefficients', fontsize=20)\n",
"\n",
"ax1 = fig.add_subplot(121)\n",
"ax2 = fig.add_subplot(122)\n",
"\n",
"min_RSS = r'$\\beta_0$, $\\beta_1$ for minimized RSS'\n",
" \n",
"# Left plot\n",
"CS = ax1.contour(X1, Y1, Z1, cmap=cm.Set1, levels=[21.25, 21.5, 21.8])\n",
"ax1.scatter(regr1.coef_[1], regr1.coef_[0], c='r', label=min_RSS)\n",
"ax1.clabel(CS, inline=True, fontsize=10, fmt='%1.1f')\n",
"ax1.set_ylabel(r'$\\beta_{Age}$', fontsize=17)\n",
"\n",
"# Right plot\n",
"CS = ax2.contour(X2, Y2, Z2, cmap=cm.Set1, levels=[21.5, 21.8])\n",
"ax2.scatter(regr2.coef_[1], regr2.coef_[0], c='r', label=min_RSS)\n",
"ax2.clabel(CS, inline=True, fontsize=10, fmt='%1.1f')\n",
"ax2.set_ylabel(r'$\\beta_{Rating}$', fontsize=17)\n",
"ax2.set_xticks([-0.1, 0, 0.1, 0.2])\n",
"\n",
"for ax in fig.axes:\n",
" ax.set_xlabel(r'$\\beta_{Limit}$', fontsize=17)\n",
" ax.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Variance Inflation Factor (page 102)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.01138468607\n",
"160.668300959\n",
"160.592879786\n"
]
}
],
"source": [
"est_Age = smf.ols('Age ~ Rating + Limit', credit).fit()\n",
"est_Rating = smf.ols('Rating ~ Age + Limit', credit).fit()\n",
"est_Limit = smf.ols('Limit ~ Age + Rating', credit).fit()\n",
"\n",
"print(1/(1-est_Age.rsquared))\n",
"print(1/(1-est_Rating.rsquared))\n",
"print(1/(1-est_Limit.rsquared))"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Comparison of LR and KNN\n",
""
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2 (Ubuntu, plain)",
"language": "python",
"name": "python2-ubuntu"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
},
"name": "Chapter 3_Linear_Regression.ipynb"
},
"nbformat": 4,
"nbformat_minor": 0
}