{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# CS109A Introduction to Data Science \n",
"\n",
"## Standard Section 6: PCA and Logistic Regression\n",
"\n",
"**Harvard University** \n",
"**Fall 2020** \n",
"**Instructors**: Pavlos Protopapas, Kevin Rader, and Chris Tanner \n",
"**Section Leaders**: Marios Mattheakis, Hayden Joy \n",
"\n",
"
"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"#RUN THIS CELL \n",
"import requests\n",
"from IPython.core.display import HTML\n",
"styles = requests.get(\"http://raw.githubusercontent.com/Harvard-IACS/2018-CS109A/master/content/styles/cs109.css\").text\n",
"HTML(styles)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For this section, our goal is to get you familiarized with Dimensionality Reduction using Principal Components Analysis (PCA) and to recap Logistic Regression from the last homework. This [medium article](https://towardsdatascience.com/pca-using-python-scikit-learn-e653f8989e60) was referenced extensively while creating this notebook.\n",
"\n",
"Specifically, we will:\n",
"\n",
"- Define the terms **big data** and **high-dimensionality** \n",
"- Learn what PCA is. What is the motivation to use PCA. \n",
"- Learn about the sklearn PCA library and [its nuances](https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html)\n",
"- Get familiar with the Linear Algebra of PCA\n",
"- Use PCA to **visualize** high-dimensional data in 2-dimensions\n",
"- Meet the MNIST handwritten digit dataset (and hopefully stay friends for a while)\n",
"- Use PCA in order to **improve model training time** and understand the **speed-accuracy trade-off**\n",
"- Discuss when to use PCA and when not to use it\n",
"- Assumptions behind PCA\n",
"\n",
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# Data and stats packages\n",
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"# Visualization packages\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"sns.set()\n",
"\n",
"#\n",
"from sklearn import datasets\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.metrics import accuracy_score\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"\n",
"# NEW PACKAGES\n",
"from sklearn.decomposition import PCA\n",
"from time import time\n",
"\n",
"\n",
"\n",
"# Other packages\n",
"pd.set_option('display.max_columns', 50)\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Motivation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Principal Components Analysis helps us deal with high-dimensionality in big-data. \n",
"\n",
"But first...\n",
"\n",
"\n",
"\n",
"**High-dimensionality** is the case when p is large i.e. there are a lot of predictors. This is sometimes a problem because:\n",
"\n",
"1. Our models may be overfit\n",
"2. There may be multi-collinearity\n",
"3. Matrices may not be invertible (in the case of OLS)\n",
"\n",
"**Our challenge** is to represent the p dimensions by a smaller number (m) of dimensions without losing much information. Then, we can fit a model using the m predictors, which addresses the three problems listed above. Here's where **PCA** comes into play."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# What is Principal Components Analysis (PCA)?\n",
"\n",
"## A Framework For Dimensionality Reduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Consider that the data are described by a Linear Regression Model:\n",
"$$\n",
"Y = \\beta_0 + \\beta_1 X_1 + \\beta_2 X_2 + \\dots + \\beta_p X_p + \\epsilon,\n",
"$$\n",
"where $p$ is very large, i.e. **high dimensionality**.\n",
"\n",
"\n",
"**LASSO for dimensional reduction:**\n",
"\n",
"We can use LASSO: which will drop some of the predictors by forcing $\\beta_j=0$. That effectively reduces the dimensions. Are we happy with that? \n",
"No! Because we totally lose the information kept by the $X_j$ predictors\n",
"\n",
"**PCA for dimensional reduction:**\n",
"\n",
"Considering a new system of coordinates, namely a new set of predictors, denoted by\n",
" $Z_1$, $Z_2$,$\\dots$, $Z_m$, where $m \\leq p$ and where each $Z_i$ is a linear combination of the original $p$ predictors, $X_1, \\dots~ X_p$, thus:\n",
"\n",
"$$\n",
"Z_i = \\sum_{j=1}^{p} c_{ij} X_i\n",
"$$\n",
"\n",
"for some fixed coefficients $c_{ij}$ (PCA will determine them). For example:\n",
"$$\n",
"Z_1 = 3.3 X_1 + 4 X_2 + 0 X_3 + \\dots + 1.2 X_p.\n",
"$$\n",
"\n",
"Then we can build a linear regression model using the new predictors as follows:\n",
"$$\n",
"Y = \\theta_0 + \\theta_1 Z_1 + \\theta_2 Z_2 + \\dots + \\theta_m Z_m + \\epsilon\n",
"$$\n",
"\n",
"**Notice:** For $m=p$ the number of predictors is the same, hence, we have not lost any information. We just transform the coordinate systems of the *data-space*. \n",
"\n",
"**Determine the PCA coefficients $c_{ij}$:**\n",
"PCA identifies a new set of predictors, as linear combinations of the original ones, that captures the 'maximum amount' of variance in the observed data. In other words, PCA determines the $c_{ij}$ such as the data varies most along the new axis $Z_i$, which are called **principal components**. PCA sorts the axis such as the largest variance goes along $Z_1$, the second largest variance goes to $Z_2$ and so on.\n",
"\n",
"**Comments:**\n",
"- The basic assumption in PCA is that higher variance indicates more importance\n",
"- The principal components consist an $m$-dimensional **orthonormal** system of coordinates\n",
"\n",
"\n",
"\n",
"\n",
"We see that the \"best line\" is the one where there is maximal variance along the line. Source [here](https://stats.stackexchange.com/questions/2691/making-sense-of-principal-component-analysis-eigenvectors-eigenvalues/140579).\n",
"\n",
"\n",
"\n",
"In principle, we could explore all the rotations, that is, rotating the original coordinate system under all the angles, and find which rotation yields the maximum variance. However, when the dimensionality (p) is large this is an extremely time consuming and inefficient technique. In that case we may use PCA which is systematic way to find the best rotation or the best coordinate system. \n",
"PCA is a mathematical method based on linear algebra, for more details and rigorous formulation check the advanced section for PCA.\n",
"\n",
"\n",
"**Have we reduced the dimensions yet?**\n",
"No yet... So far we have defined new predictors that linearly depend on the original predictors. Hence, we still have all the information stored in the data. \n",
"\n",
"**Reducing the dimensions:** Since the $Z_j$ are sorted with respect how much information the *carry*, the larger the $j$ the less important the $Z_j$. Hence, we can keep just a few of the principal components and drop the rest. For instance, keeping only the first two components $(m=2)$, we obtain two predictors that contain information from all the original $p$ predictors. How can we choose the m? PCA takes care of that too."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Applications of PCA\n",
"\n",
"One major application of PCA is to address the issue of high-dimensionality (reduce the number of predictors).\n",
"\n",
"Another major application of PCA is in **visualization**. Specifically, if we have an N-dimensional dataset (N>3), how do we visualize it? \n",
"\n",
"**One option**: \n",
"\n",
"\n",
"\n",
"**A more practical option**: use PCA to get the top 2-3 principal components and plot these components on 2D or 3D plots."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PCA for Visualization\n",
"\n",
"Data Source: [MTCars Dataset](https://gist.github.com/seankross/a412dfbd88b3db70b74b)\n",
"\n",
"Here are a few resources that use this dataset and apply PCA for visualization. This notebook references [this PCA tutorial in R](https://www.datacamp.com/community/tutorials/pca-analysis-r), [these lecture notes from CMU](http://www.stat.cmu.edu/~cshalizi/uADA/12/lectures/ch18.pdf), this [blog](https://www.analyticsvidhya.com/blog/2016/03/practical-guide-principal-component-analysis-python/), and [this blog](http://setosa.io/ev/principal-component-analysis/) which has some nice visualizations of PCA. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Loading in The Cars Dataset and carry out EDA\n",
"\n",
"This dataset consists of data on **32 models** of car, taken from an American motoring magazine (1974 Motor Trend magazine). For each car, you have **11 features**, expressed in varying units (US units), They are as follows ([source](https://www.datacamp.com/community/tutorials/pca-analysis-r)):\n",
"\n",
"- `mpg`: Fuel consumption (Miles per (US) gallon): more powerful and heavier cars tend to consume more fuel.\n",
"- `cyl`: Number of cylinders: more powerful cars often have more cylinders\n",
"- `disp`: Displacement (cu.in.): the combined volume of the engine's cylinders\n",
"- `hp`: Gross horsepower: this is a measure of the power generated by the car\n",
"- `drat`: Rear axle ratio: this describes how a turn of the drive shaft corresponds to a turn of the wheels. Higher values will decrease fuel efficiency.\n",
"- `wt`: Weight (1000 lbs): pretty self-explanatory!\n",
"- `qsec`: 1/4 mile time: the car's speed and acceleration\n",
"- `vs`: Engine block: this denotes whether the vehicle's engine is shaped like a \"V\", or is a more common straight shape.\n",
"- `am`: Transmission: this denotes whether the car's transmission is automatic (0) or manual (1).\n",
"- `gear`: Number of forward gears: sports cars tend to have more gears.\n",
"- `carb`: Number of carburetors: associated with more powerful engines\n",
"\n",
"Note that the units used vary and occupy different scales. \n",
"\n",
"**Dropping the categorical variables `vs` and `am` and only keeping in the continuous predictors**."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
" carb cyl disp drat gear hp \\\n",
"count 32.0000 32.000000 32.000000 32.000000 32.000000 32.000000 \n",
"mean 2.8125 6.187500 230.721875 3.596563 3.687500 146.687500 \n",
"std 1.6152 1.785922 123.938694 0.534679 0.737804 68.562868 \n",
"min 1.0000 4.000000 71.100000 2.760000 3.000000 52.000000 \n",
"25% 2.0000 4.000000 120.825000 3.080000 3.000000 96.500000 \n",
"50% 2.0000 6.000000 196.300000 3.695000 4.000000 123.000000 \n",
"75% 4.0000 8.000000 326.000000 3.920000 4.000000 180.000000 \n",
"max 8.0000 8.000000 472.000000 4.930000 5.000000 335.000000 \n",
"\n",
" mpg qsec wt \n",
"count 32.000000 32.000000 32.000000 \n",
"mean 20.090625 17.848750 3.217250 \n",
"std 6.026948 1.786943 0.978457 \n",
"min 10.400000 14.500000 1.513000 \n",
"25% 15.425000 16.892500 2.581250 \n",
"50% 19.200000 17.710000 3.325000 \n",
"75% 22.800000 18.900000 3.610000 \n",
"max 33.900000 22.900000 5.424000 "
]
},
"execution_count": 102,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cars_df.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Our task** is to try to visualize this data in a meaningful way. Obviously we can't make a 9-dimensional plot, but we can try to make several different plots using the `pairplot` function from seaborn."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.pairplot(cars_df);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"But there are numerous variables and numerous more relationships between these variables. We can do better through PCA."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualization by using PCA\n",
"\n",
"### Standardizing Variables\n",
"Standardization is a crucial step in PCA formulation (more details in advanced section)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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0.432823
\n",
"
-0.931678
\n",
"
Datsun 710
\n",
"
\n",
"
\n",
"
3
\n",
"
-1.140108
\n",
"
-0.106668
\n",
"
0.223615
\n",
"
-0.981576
\n",
"
-0.946729
\n",
"
-0.543655
\n",
"
0.220730
\n",
"
0.904736
\n",
"
-0.002336
\n",
"
Hornet 4 Drive
\n",
"
\n",
"
\n",
"
4
\n",
"
-0.511083
\n",
"
1.031121
\n",
"
1.059772
\n",
"
-0.848562
\n",
"
-0.946729
\n",
"
0.419550
\n",
"
-0.234427
\n",
"
-0.471202
\n",
"
0.231297
\n",
"
Hornet Sportabout
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" carb cyl disp drat gear hp mpg \\\n",
"0 0.746967 -0.106668 -0.579750 0.576594 0.430331 -0.543655 0.153299 \n",
"1 0.746967 -0.106668 -0.579750 0.576594 0.430331 -0.543655 0.153299 \n",
"2 -1.140108 -1.244457 -1.006026 0.481584 0.430331 -0.795570 0.456737 \n",
"3 -1.140108 -0.106668 0.223615 -0.981576 -0.946729 -0.543655 0.220730 \n",
"4 -0.511083 1.031121 1.059772 -0.848562 -0.946729 0.419550 -0.234427 \n",
"\n",
" qsec wt model \n",
"0 -0.789601 -0.620167 Mazda RX4 \n",
"1 -0.471202 -0.355382 Mazda RX4 Wag \n",
"2 0.432823 -0.931678 Datsun 710 \n",
"3 0.904736 -0.002336 Hornet 4 Drive \n",
"4 -0.471202 0.231297 Hornet Sportabout "
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# separating the quantitative predictors from the model of the car (a string)\n",
"model = cars_df['model']\n",
"quant_df = cars_df[cars_df.columns.difference(['model'])]\n",
"\n",
"# Standardization\n",
"quant_scaled = StandardScaler().fit_transform(quant_df)\n",
"cars_df_scaled = pd.DataFrame(quant_scaled, columns=quant_df.columns)\n",
"\n",
"# We can bring back the model variable, although we do not need it\n",
"cars_df_scaled['model'] = cars_df['model']\n",
"cars_df_scaled.head()\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
carb
\n",
"
cyl
\n",
"
disp
\n",
"
drat
\n",
"
gear
\n",
"
hp
\n",
"
mpg
\n",
"
qsec
\n",
"
wt
\n",
"
\n",
" \n",
" \n",
"
\n",
"
count
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
3.200000e+01
\n",
"
\n",
"
\n",
"
mean
\n",
"
-6.938894e-18
\n",
"
4.163336e-17
\n",
"
1.387779e-16
\n",
"
-3.122502e-16
\n",
"
-1.144917e-16
\n",
"
-1.734723e-17
\n",
"
-5.481726e-16
\n",
"
-1.469311e-15
\n",
"
4.683753e-17
\n",
"
\n",
"
\n",
"
std
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
1.016001e+00
\n",
"
\n",
"
\n",
"
min
\n",
"
-1.140108e+00
\n",
"
-1.244457e+00
\n",
"
-1.308518e+00
\n",
"
-1.589643e+00
\n",
"
-9.467293e-01
\n",
"
-1.403130e+00
\n",
"
-1.633610e+00
\n",
"
-1.903996e+00
\n",
"
-1.769642e+00
\n",
"
\n",
"
\n",
"
25%
\n",
"
-5.110827e-01
\n",
"
-1.244457e+00
\n",
"
-9.008917e-01
\n",
"
-9.815764e-01
\n",
"
-9.467293e-01
\n",
"
-7.437050e-01
\n",
"
-7.865141e-01
\n",
"
-5.436944e-01
\n",
"
-6.604034e-01
\n",
"
\n",
"
\n",
"
50%
\n",
"
-5.110827e-01
\n",
"
-1.066677e-01
\n",
"
-2.821771e-01
\n",
"
1.870518e-01
\n",
"
4.303315e-01
\n",
"
-3.510140e-01
\n",
"
-1.501383e-01
\n",
"
-7.888899e-02
\n",
"
1.118844e-01
\n",
"
\n",
"
\n",
"
75%
\n",
"
7.469671e-01
\n",
"
1.031121e+00
\n",
"
7.810529e-01
\n",
"
6.145986e-01
\n",
"
4.303315e-01
\n",
"
4.936423e-01
\n",
"
4.567366e-01
\n",
"
5.977084e-01
\n",
"
4.078199e-01
\n",
"
\n",
"
\n",
"
max
\n",
"
3.263067e+00
\n",
"
1.031121e+00
\n",
"
1.977904e+00
\n",
"
2.533809e+00
\n",
"
1.807392e+00
\n",
"
2.790515e+00
\n",
"
2.327934e+00
\n",
"
2.871986e+00
\n",
"
2.291423e+00
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" carb cyl disp drat gear \\\n",
"count 3.200000e+01 3.200000e+01 3.200000e+01 3.200000e+01 3.200000e+01 \n",
"mean -6.938894e-18 4.163336e-17 1.387779e-16 -3.122502e-16 -1.144917e-16 \n",
"std 1.016001e+00 1.016001e+00 1.016001e+00 1.016001e+00 1.016001e+00 \n",
"min -1.140108e+00 -1.244457e+00 -1.308518e+00 -1.589643e+00 -9.467293e-01 \n",
"25% -5.110827e-01 -1.244457e+00 -9.008917e-01 -9.815764e-01 -9.467293e-01 \n",
"50% -5.110827e-01 -1.066677e-01 -2.821771e-01 1.870518e-01 4.303315e-01 \n",
"75% 7.469671e-01 1.031121e+00 7.810529e-01 6.145986e-01 4.303315e-01 \n",
"max 3.263067e+00 1.031121e+00 1.977904e+00 2.533809e+00 1.807392e+00 \n",
"\n",
" hp mpg qsec wt \n",
"count 3.200000e+01 3.200000e+01 3.200000e+01 3.200000e+01 \n",
"mean -1.734723e-17 -5.481726e-16 -1.469311e-15 4.683753e-17 \n",
"std 1.016001e+00 1.016001e+00 1.016001e+00 1.016001e+00 \n",
"min -1.403130e+00 -1.633610e+00 -1.903996e+00 -1.769642e+00 \n",
"25% -7.437050e-01 -7.865141e-01 -5.436944e-01 -6.604034e-01 \n",
"50% -3.510140e-01 -1.501383e-01 -7.888899e-02 1.118844e-01 \n",
"75% 4.936423e-01 4.567366e-01 5.977084e-01 4.078199e-01 \n",
"max 2.790515e+00 2.327934e+00 2.871986e+00 2.291423e+00 "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cars_df_scaled.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Carrying out PCA\n",
"\n",
"[Sklearn PCA documentation](https://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Original dimensions: (32, 9)\n",
"PCA dimensions: (32, 9)\n"
]
}
],
"source": [
"# drop again the model predictor\n",
"quant_df = cars_df_scaled[cars_df_scaled.columns.difference(['model'])]\n",
"\n",
"# fitting the PCA object onto our dataframe (excluding the model name column)\n",
"pca = PCA().fit(quant_df)\n",
"\n",
"# transforming the dataframe\n",
"quant_df_pca = pca.transform(quant_df)\n",
"\n",
"print('Original dimensions:', quant_df.shape)\n",
"print('PCA dimensions: ', quant_df_pca.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us examine some of the attributes we obtain from PCA.\n",
"\n",
"1. `explained_variance_`: The amount of variance explained by each of the selected principal components.\n",
"2. `explained_variance_ratio_`: Percentage of variance explained by each of the selected principal components. By default, unless `n_components` is specified all components will be stored and the sum of the ratios will be 1.0."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(ncols=2, figsize=(20,6))\n",
"ax1, ax2 = ax.ravel()\n",
"\n",
"ratio = pca.explained_variance_ratio_\n",
"ax1.bar(range(len(ratio)), ratio, color='purple', alpha=0.8)\n",
"ax1.set_title('Explained Variance Ratio PCA', fontsize=20)\n",
"ax1.set_xticks(range(len(ratio)))\n",
"ax1.set_xticklabels(['PC {}'.format(i+1) for i in range(len(ratio))])\n",
"ax1.set_ylabel('Explained Variance Ratio')\n",
"\n",
"# ratio[0]=0\n",
"ratio = pca.explained_variance_ratio_\n",
"ax2.plot(np.cumsum(ratio), 'o-')\n",
"\n",
"ax2.set_title('Cumulative Sum of Explained Variance Ratio PCA', fontsize=20)\n",
"\n",
"ax2.set_ylim(0,1.1)\n",
"ax2.set_xticks(range(len(ratio)))\n",
"ax2.set_xticklabels(['PC {}'.format(i+1) for i in range(len(ratio))])\n",
"ax2.set_ylabel('Cumulative Sum of Explained Variance Ratio');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that over 85% of the variance is explained by the first 2 principal components! "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"3. `components_`: This represents the principal components i.e. directions of maximum variance in the data. The components are sorted by `explained_variance_`. \n",
"\n",
"Let us write the equation for all the principal components using our formulation of the principal components above:\n",
"\n",
"$$\n",
"Z_i = \\sum_{j=1}^{p} w_{ij} X_i\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Z_1 = -0.24*carb -0.4*cyl -0.4*disp +0.31*drat +0.21*gear -0.37*hp +0.39*mpg +0.22*qsec -0.37*wt \n",
"\n",
"Z_2 = +0.48*carb +0.02*cyl -0.09*disp +0.34*drat +0.55*gear +0.27*hp +0.03*mpg -0.48*qsec -0.17*wt \n",
"\n",
"Z_3 = +0.46*carb -0.25*cyl -0.08*disp +0.15*drat +0.21*gear -0.02*hp -0.22*mpg +0.63*qsec +0.45*wt \n",
"\n",
"Z_4 = -0.21*carb +0.04*cyl +0.34*disp +0.85*drat -0.28*gear +0.07*hp -0.01*mpg -0.03*qsec +0.19*wt \n",
"\n",
"Z_5 = -0.4*carb -0.12*cyl +0.49*disp -0.16*drat +0.56*gear +0.29*hp +0.32*mpg +0.15*qsec +0.19*wt \n",
"\n",
"Z_6 = +0.36*carb +0.22*cyl -0.02*disp -0.02*drat -0.32*gear +0.35*hp +0.72*mpg +0.26*qsec -0.08*wt \n",
"\n",
"Z_7 = -0.21*carb -0.16*cyl -0.18*disp +0.05*drat -0.09*gear +0.7*hp -0.38*mpg +0.28*qsec -0.43*wt \n",
"\n",
"Z_8 = -0.11*carb +0.81*cyl -0.06*disp +0.14*drat +0.32*gear -0.17*hp -0.12*mpg +0.36*qsec -0.2*wt \n",
"\n",
"Z_9 = -0.32*carb +0.16*cyl -0.66*disp +0.04*drat +0.05*gear +0.25*hp +0.11*mpg -0.17*qsec +0.57*wt \n",
"\n"
]
}
],
"source": [
"for i, comp in enumerate(pca.components_):\n",
" expression = 'Z_{} = '.format(i+1)\n",
" for c, x in zip(comp, quant_df.columns):\n",
" if c < 0:\n",
" expression += str(np.round(c,2)) + '*' + x + ' '\n",
" else:\n",
" expression += '+' + str(np.round(c,2)) + '*' + x + ' '\n",
" print(expression + '\\n')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using the printed equations above, we can create vectors showing where each feature has a high value. Let us do this for the **first 2 principal components** (using $v$ to denote a vector): \n",
"\n",
"$$\n",
"\\begin{aligned}\n",
"v_{carb} = \\begin{pmatrix}-0.24 \\\\ 0.48 \\end{pmatrix}, \\;\n",
"v_{cyl} = \\begin{pmatrix}-0.4 \\\\ 0.02 \\end{pmatrix}, \\; \n",
"v_{disp} = \\begin{pmatrix}-0.4 \\\\ -0.09 \\end{pmatrix}, \\\\\n",
"v_{drat} = \\begin{pmatrix}0.31 \\\\ 0.34 \\end{pmatrix}, \\;\n",
"v_{gear} = \\begin{pmatrix}0.21 \\\\ 0.55 \\end{pmatrix}, \\;\n",
"v_{hp} = \\begin{pmatrix}-0.37 \\\\ 0.27 \\end{pmatrix}, \\\\\n",
"v_{mpg} = \\begin{pmatrix}0.39 \\\\ 0.03 \\end{pmatrix}, \\;\n",
"v_{qsec} = \\begin{pmatrix}0.22 \\\\ -0.48 \\end{pmatrix}, \\;\n",
"v_{wt} = \\begin{pmatrix}-0.37 \\\\ -0.17 \\end{pmatrix}\n",
"\\end{aligned}\n",
"$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Checking if our vectors are orthonormal\n",
"Orthonormal vectors are the vectors which are orthogonal (zero dot product) with length equal to one (unit vectors).\n",
"\n",
"#### Orthogonal:\n",
"We use the dot product between two vectors to check if the vectors are orthogonal or not. If the dot product is 0, that means that the two vectors are orthogonal. The dot product between two vectors is (geometrically): \n",
"\n",
"$$\n",
"\\textbf{a} \\cdot \\textbf{b} = ||\\textbf{a}|| ||\\textbf{b}|| \\cos(\\theta)\n",
"$$\n",
"\n",
"Where $\\theta$ is the angle between the two vectors and $||\\cdot||$ denotes the norm of the vector. Since we assume that the norm of a vector is non-zero, the only way the dot product of two vectors to be zero is when the angle between them is 90 degrees ($\\cos(90) = 0$). Thus, the dot product is a way to check if two vectors are perpendicular.\n",
"\n",
"#### Unit vectors\n",
"In order to calculate the length $||\\textbf{a}||$ of a vector we can take the dot product of a vector with itself, namely\n",
"$$ \n",
"||\\textbf{a}|| = \\textbf{a}\\cdot \\textbf{a}\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The dot product between the first two principal components is 0.0\n",
"The length of the first principal component is 1.0\n"
]
}
],
"source": [
"vec1 = pca.components_[0]\n",
"vec2 = pca.components_[1]\n",
"\n",
"# print(np.dot(vec1.T, vec2))\n",
"print('The dot product between the first two principal components is ',np.round(np.dot(vec1, vec2),5))\n",
"print('The length of the first principal component is ',np.round(np.dot(vec1, vec1),5))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the first two principal components are orthogonal and the first principal component is also a unit vector. You can check other pairs of principal components in order to convince yourself that all principal components are always pairwise orthogonal unit vectors."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualizing PCA results"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
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Xry+8evXqvdvnNH36dEGhUAjTp08XlEqlevm9e/fU1ynnZzPnZ+vPP//UOJbqM2Rvby+sWrVKY52/v7/WfUYQCn5PTUtLExwcHAQbGxvh/PnzGsdSvU8HDx6sswxnZ2chNjZWvTwzM1Pw9vYWFAqFcPnyZY3l7du3F2xtbbXeI3FxcYKTk5PQqlUr4fXr1+rlqvdE06ZNhejoaI19xo8fLygUCiE0NFRjua57l8rPP/8sKBQKITw8XGvd8+fPhezsbJ37EdHHwy7rRMVA1c2wMLOO65qYSF9fH/369UNWVhZOnz6tc7+xY8dqtKIAb1uNBEGAvr6+zpaOop7USHW+ycnJ6mX6+vo6Z0A2MTFBjx498OLFC1y9erVA5ei6RlKpVN3d+uTJk1rrDQ0NtZbp6+trtCSpZpKePXu2urVYpXv37qhXrx727t1boFjfx8fHR6PFUyqVYtKkSZBKpdi5c+d799+5cyckEgkmT56s0epYsWJFjBw5EgDw+++/F1m8gYGBkMvlmDt3rtY1HTVqFMzMzDSu0d69e5GZmYn+/ftrtDTlPM+PTS6X62yRfffzkhc7Ozt0795dY1mPHj0gl8s1up2+efMGoaGhMDExUV9/FRsbG3h6ehYw+sIrCfeEnK5cuYKVK1eibNmyufb0ycu5c+fg5+cHPz8/zJ49Gx4eHjhz5gzKly+vda0BYNiwYRq9X/Jr4sSJMDMzU782MjJCly5doFQqce3aNfXy3bt3Iy0tDX369NHZa6AgM7937doV9evX11g2evRomJiYICQkRKO7vJWVlc7W/p49e8LY2BgRERH5Lvddqr9dZmZmBXr6R2ZmJvbs2QMjIyOMHz9eo8dCrVq1MGDAAGRmZmL37t1a+zZr1gxdu3bVWKbqkWFsbKw1J4nqM6Sr2zqQ/3vq4cOH8fz5c3Tu3BnNmzfXOMaQIUNgZWWFU6dO4fHjx1plfP311xpzTsjlcvX9Ief94NixY3j48CH69++v9R6xsLDAsGHDkJCQoPPvuq4hNKreZAX9mwno/htoampaLPdgItLELutExUAQBAC6u1G+z+PHj7Fu3TqcPn0aT548watXrzTW5zbutlGjRlrLjI2N4eLigqNHj6Jbt27o2LGjevzrx5jtN7fzvn37NjZs2IDz588jISEBr1+/1lhf0LHEz549w4YNG3D8+HHExMQgPT1dY33OsX8ODg6wsLDA2rVrcf36dTg7O8POzg716tXT+lJ76dIl6OnpYf/+/di/f79WuZmZmUhOTsazZ8+KLHHR9UW+evXqsLS0RGxsLFJSUrR+HFBJS0vDgwcPYGFhoXPCqBYtWgAAbt68WSSxZmRkIDo6GuXLl1d31X+Xvr4+7t69q35948YNANA5KVnO8/xYunTpgnnz5sHDwwOdO3eGg4MD7OzsCpSMA4Ctra3WMj09PVSsWFFjboF79+7h1atXsLW11dltuFmzZkX6A0leSsI9QeXevXsYOXIksrKysGTJknzPiJ7TuXPn1GNl9fT0YGlpiT59+uCrr76CpaWl1va6zj8/dNW16vg5x2hfunQJANCmTZtClZOTrvuAiYkJ6tWrh3PnzuHu3bvqoTCZmZnYsWMHQkNDcffuXaSmpmrMnVGYuRlUCvu3659//kFGRgbs7Ow0fsxQadGiBVavXq3zXqTreleuXBkAdN6nVT/8xsXF6Ywlv/dU1b1JdZ/MSS6Xw97eHrGxsbhx44bWhI8FfY88fvxY59wL9+/fB/B2HoJ3u603bNgwX2W8T+fOnREYGIivv/4abm5uaNmyJezs7Ar1GSSiosGEnKgYVK5cGf/880+uXxhy8+jRI/Ts2RMpKSlo3rw5nJycYGxsDJlMhtjYWOzatSvXiYXMzc11Ll+2bBnWrVuHkJAQ9RcCAwMDuLm54bvvvivQ84DfR5UI50x2Ll26hIEDByI7OxstWrSAq6srjI2NIZVKcfPmTRw+fDjXc9IlJSUFPXv2RExMjHqyLFNTU8jlcqSkpCAwMFDjeMbGxggKCsKKFStw5MgRdetR+fLl4e3tjZEjR6rHzz1//hxZWVlazzx+V3p6epEl5Kpxve+qVKkSYmNjkZqammdCDuRe96ovtUX1vOqUlBQIgoDk5OT3XiMV1SRHub3PVOf5sQwePBjly5fHtm3bsHnzZmzatAkSiQT29vaYNGmSzi+9uuRWB3K5XCMZUp1vbvWa2/KPoSTcE4C3SYePjw9evHiBJUuWqCcWLChfX1+tpzzkpbDnoauuVUmhrrouTE+od+V1H8hZFgCMGzcO4eHhqF69Otq1a4dKlSqpx3Jv2rTpgybpUt0znj17htevX+e7lVwVX27vOdVyXfciExMTrWWq661rnaq3S1ZWls6y8ntPzW/MuiZqyyvmnO+R58+fA4DOH3hzevdH5YKU8T6NGjXC1q1bERAQgAMHDqgniK1duzZ8fX3x+eef5/tYRFQ0mJATFYNmzZrhzJkzOHPmjLqLWX5s3LgRz58/x88//6zVPTYkJAS7du3Kdd/cWjQMDQ0xevRo9ay158+fx65du7Bnzx7ExsZqzQT8IVQzJ+dsmVq9ejVevXqFwMBAfPbZZxrbr1mzBocPHy5QGb///jtiYmJ0fjm/ePGi1oQ6wNuuo3PnzoUgCLhz5w7OnDmDrVu3qp8Rr+o+a2xsrJ7RurgkJSVpTAimkpiYCED3lzIVVQusatt3qX4gyesYBaEqr379+nm+F3NSlZ2YmIi6detqrc8t9txIJJJcv4jn9sODp6cnPD09kZKSgosXLyI8PBw7d+7EsGHDEBYWVqRJsuoaJSUl6Vyf2/KPoSTcE+7evYuBAwfi+fPnWLZsmcZEgh9bYXooFYTqvR0fH6/VtbigcntfvHsfuHr1KsLDw9GyZUusXbtWYzIupVKJ9evXf1AclpaWqFq1Kh4/fozz58/DyckpX/vl/JzrouoKX1T3orzk956q+r+umexzLv+QmFX7rlq1qtA/RBWFpk2bYs2aNXjz5g2uXbuGkydPYsuWLZgwYQIqVKhQZJO7ElH+cKAIUTHo3r079PT0cODAAdy5cyfPbXO25j548AAA0LFjR63tiiJJtLS0RNeuXbFhwwbUqlULUVFRePbs2QcfFwBOnz6NCxcuwNDQEB06dFAvf/DgAczMzLSScSD3c5JKpcjOzta5Lq9rdP78+TxjlEgkqFu3LgYMGICNGzcCgMYPAk2aNMGLFy9w+/btPI+T31jzQ9c1ePToEZ48eQIrK6tcW2aBt8lfjRo1EB8fr+76mJPqB5KcY1NVLSy5xZzX+rJly6Ju3bq4ffu2uuXnfVRl66ob1XkWhKmpqc6eJ9nZ2bmOKVUpV64cnJ2d8dNPP8HLywvPnz9HZGRkgcp/nzp16sDQ0BC3bt3S+ZilqKioIi3vQ73vnvAh7+9bt25hwIABePHiBfz8/Io1GS8OTZo0AQCcOHHig4+l6z6QmpqKmzdvwsDAQD0k5eHDhwAAV1dXrZmxr1y5ojXEqTBUj5JbvXr1e1tiVX+/ateujTJlyuDmzZs6u1Pruhd9LPm9p6qGAOjaPisrS/1Z/ZCYVY88Ler7zLtU48Df91nV19eHnZ0dxo4di++//x4ACvyjOBF9OCbkRMWgWrVq8PX1RWZmJkaMGJHrBCwnTpzAsGHD1K9VE9G8+wXh5MmT+OOPPwocR3JyMi5fvqy1PD09HS9fvoRcLv/gx50IgoCDBw+qW5lHjx6t0QXQysoKz58/10qWfv/991wnHzIzM0NycrLOL5eqicHevUY3btzAmjVrtLb/+++/tZ5LDfyvtSTnRDeDBg0CAEyfPl3nOMz09HT1mMD8xJofgYGBGl22lUolFixYAKVSqdVLQpcePXpAEAQsWLBA48tYcnIyVq1apd5GpVy5cpBIJLkmwqrxn7mtHzRoEDIzMzF16lSdLdIvXrzA9evX1a+7dOkCPT09bNmyRaMecp5nQTRs2BCPHz/Weu+sXr1aZ9f3EydO6GxRV008qGuiow+hr6+Pzp07IzU1FatXr9ZYFx0drXNSq+JU0HuCmZlZgYfeAG/nLfDx8cHLly+xatUquLi4fFDcJZGnpyeMjY3x22+/6fzBqSDXbc+ePeoxzSp+fn5ITU2Fh4eHukt6bn8jkpKS8OOPPxb0FHQaNGgQbGxsEBkZiUmTJun8nL98+RL+/v7YsGEDgLfv+y5duiA9PR0rVqzQ2Pbhw4fYvHkz9PT00K1btyKJMS/5vae2b98eZmZmCA0N1bqvb9q0CY8ePULLli21xo8XRLt27VCjRg1s27YNx48f17nNxYsXkZGRUegygP/dt3VNQBcZGamz272qV0ZR3wOJ6P3YZZ2omHz11VfIysrCypUr0bNnTzRt2hS2trYoW7YsEhMTERkZifv372tMDuPt7Y3g4GCMHTsWHTt2hIWFBW7fvo2TJ0+iU6dOCAsLK1AM8fHx6N27Nz755BPUr18flpaWSEtLw7Fjx5CQkIABAwYU6Hm1qlmOAeDVq1d4+vQpLly4gJiYGOjr62PixIkaPzAAb5/PHRERAW9vb/VzYa9du4aoqCi4ubnhwIEDWuU4Ojri6tWrGDZsGJo3bw59fX3Y2NjA1dUV3bp1w4YNGzB37lycPXsWNWvWxIMHD3Ds2DF06NBB6xr99ddfmDdvHpo2bYo6deqgYsWKiIuLw+HDhyGVSjF06FCNcidMmIAlS5bAzc0Nbdq0QbVq1ZCenq7uwmlnZ6f+Evq+WPPDzs4Onp6eGs/MjY6ORoMGDTB8+PD37j9kyBCcOHEChw8fRrdu3dCmTRu8evUK+/fvR1JSkjoulbJly6Jx48aIjIzEhAkTULt2bUilUri6usLGxga1a9eGhYUFQkND1RNnSSQSdOvWDVZWVujZsyeuX7+Obdu2oUOHDnBycoKlpSVevHiBmJgYnD9/Ht27d1cnB9WqVcOECRMwb948eHl5aZxnamoqrK2tcevWrXxdKwAYOnQoIiIiMGrUKHTu3Bmmpqa4ePEiYmJi4ODgoJWojB8/HgYGBmjWrBmsrKwgCAIiIyNx9epVNGjQ4KN01ZwwYQLOnDmD9evX48qVK2jatCkSEhKwb98+ODs749ChQx+9O3VuCnpPcHR0RGhoKL766is0aNAAMpkM9vb2OifpU3nx4gUGDRqE58+fw9HREZcuXdJKeIC394a8eoCUdBUqVMDixYsxZswY+Pj4oE2bNrC2tkZaWhpu3bqFJ0+e4MiRI/k6VuvWrdG3b1906tQJ5ubmiIqKQlRUFKysrDBx4kT1dg0bNoSdnR0OHjyIPn36wM7ODklJSThx4gRq166tHgP+IcqUKYP169djzJgx2Lt3L44ePYpWrVqhRo0aUCqVePjwIU6fPo20tDTMmDFDvd+ECRMQGRmJLVu24OrVq/jss8/UzyF/+fIlpk+fXqhZ7wsqv/fUsmXLYs6cOfjmm2/Qv39/uLu7q59DHhERAXNz8w/+kUNPTw9+fn4YNmwYRowYgaZNm6JevXowNDREXFwcrl69ikePHiEiIuKDJlV0dHTE/v37MXr0aDg7O8PAwABVq1aFp6cnfvnlF5w6dQoODg6oXr06jIyMcOfOHZw4cQKmpqb44osvPugciajgmJATFSNfX1906tQJ27Ztw9mzZxEcHIw3b97AzMwMNjY2GDZsmEaLgY2NDQIDA7Fs2TJ1y56NjQ38/f1hYmJS4ITcysoKo0ePxrlz53D27Fk8e/YMZmZmqF27NiZMmAAPD48CHU81y7FEIkGZMmVgZmaGTz/9FF988QW6deumc3KjNm3aICAgAKtXr0ZYWBhkMhkaNWqEwMBAPHr0SGdCPnLkSKSkpODo0aO4cOECsrOz4eXlBVdXV1hYWGDr1q1YtGgRoqKiEBERgTp16mDmzJlwdHTUukatW7dWj5M9fPgw0tLSULlyZbRq1QqDBg2CnZ2dxvYjRoyAnZ0dNm/ejKioKBw5cgTGxsawsLBA7969tSbAySvW/Jg6dSrCw8MRFBSE2NhYmJmZwcfHB2PHjs3XhEr6+vrYuHEjNm7ciJCQEGzZsgUymQw2NjaYOnWqzgl7FixYgJ9//hkREREIDQ2FIAioUqUKbGxsIJPJ4BoFrikAACAASURBVO/vj8WLF6u/SAuCoE5oAWDmzJlo06YNfvvtN/z1119ITU2FqakpLC0tMXToUK1HGA0ePBjm5ubYsGEDdu3ahbJly8LJyQnffvutRrKRH46Ojli5ciVWrlyJ0NBQGBkZoWXLlli6dKnOWYwnTJiAiIgIXL9+HcePH1d/UZ04cSL69u37wT1EdKlUqRJ+++03LFmyBMePH8fly5dRu3ZtzJw5E2XKlMGhQ4cK9ENYUSroPeH777+HRCLB6dOncfz4cSiVSvj6+uaZkKempqqHNJw+fTrXRzV6eXmV6oQcANq2bYudO3eqn4xx6tQplCtXDnXq1MGXX36Z7+MMGjQIHTp0wKZNmxAWFgYjIyN0794d48aN05jjQCaTYfXq1eq/EZs3b4aFhQV69eqFkSNHFvienhtzc3Ns3boVBw4cULcgHz16FFKpFJaWlnB3d0ePHj007p9mZmbYsWMH1qxZg/DwcGzcuBGGhoZo1KgRhg4dmu/x6B+qIPfU9u3bY9u2bVizZg0iIiKQlpaGSpUqoU+fPhg1alSRTNhnY2ODP//8Exs3bsSxY8cQHBwMqVQKc3Nz1K9fH6NHj/7gSUJ79eqFx48fIzQ0FOvXr0dWVhYcHBzg6ekJb29vmJqa4vLly+q/URYWFvD29sbgwYM1HhFHRMVDIqieaUFERKKZPHkydu3ahcOHD2s8n5v+3ZYuXYqAgACsX78erVu3FjscEpmfnx/8/f11TnpJBcN7KhGVFhxDTkRE9JHpmoPg1q1bCAwMhJmZmc5nJRMREdG/H7usExERfWQ9evRAzZo1UbduXZQpUwYPHjxQd/n+4Ycf8v18ZyIiIvp3YUJORET0kfXp0weHDh1CaGgoXr58CRMTEzg5OWHIkCHsmkxERPQfxjHkRERERERERCLgGHIiIiIiIiIiEfyruqw/e/YSSmXhGvwrVjRGUlJaEUdERY31VPKxjkoH1lPpwHoq+VhHpQPrqeRjHZUOYtaTVCpB+fJlRSn7Y/pXJeRKpVDohFy1P5V8rKeSj3VUOrCeSgfWU8nHOiodWE8lH+uodGA9FS12WSciIiIiIiISARNyIiIiIiIiIhEwISciIiIiIiISARNyIiIiIiIiIhEwISciIiIiIiISARNyIiIiIiIiIhEwISciIiIiIiISARNyIiIiIiIiIhEwIScqRnFxcejQoTWys7PFDoWIiIiIiETGhJxKFVdXV7Rt2wLPnz/XWD5okDecnJrjyZPHIkWmW8+eXXD+/Fn16ypVqiA8/CRkMlmu27u6tkKHDq3h7u6Cb78di/j4uOIKl4iIiIiIihETcip1LC2r4tCh/erXd+/ewevXr4o9jqysrI9y3PnzlyA8/CT+/HM/ypevgGXLFhbqOB8rPiIiIiIiKhpysQMgKig3t87Yvz8MPXv2AQDs2xcCd3cPrFu3Wr3NX39FYN26VYiNjYWxsTE8PLpi6NAvAQCvX7/G/Pk/4cyZv6BUZqNatRpYsGApKlSoiLS0NPj5LcGZM6cgkUjRuXMXDB36JWQyGcLC9mLv3l2oV68B9u0LhZdXT3h4dMX8+T/hzp3bkEgABwdHjB//HUxMTDB79nTEx8fhu+/GQyaTYtCgYXB17YBevbri2LEzkMvz/vgZGBjAxaUdli9fol6WlpaGpUsX4OzZv2BgYIguXTzh4zMEUqm0wPEREREREZG42EJOpU6DBg3x8mUa7t+/h+zsbBw5Eg43t84a2xgaGmLatB+xf/9RLFiwDLt378SJE8cAvE3g09LSEBwcitDQw5g4cQoMDAwAAHPmzIRMJsNvv+3Gxo1bcf78Gezdu1t93Bs3rqNqVSvs3XsQAwcOgSAIGDBgEHbv3octW/7A06fx+OWXtQCA6dNnw8KiirrFu1+/gQU6z1evXuHw4XA0aGCrXrZ06QK8fJmGoKA/4e+/Fvv3hyEsbE+h4iMiIiIiInGxhZxKpbet5KFo0sQONWrURKVK5hrr7eyaq//96ad10b69Gy5dikKbNm0hl8uRkvICMTGP8OmndWFjUw8AkJychDNn/sL+/UdhYGCIMmXKoHdvb+zZswuenj0AABUrVlK3zMvlclSrVh3VqlUHAOjr6+OLL/ph48YPS3inTp0ImUyGjIwMmJmVx5Il/gCg/vHhl1+2wsioLIyMyqJPn37Yvz8Mn3/uWWzxERERERFR0WBCTqWSu7sHvv56OJ48iYW7u4fW+uvXryEgwA/37t1FZmYmMjMz4eLSTr3v06fxmDVrKlJTU+Hm1gkjRnyNuLgnyMrKQrdu7urjKJUCKle2UL+2sLDQKOfZs2QsW7YQly9fQnp6OgRBCROTch90bnPnLoK9/WfIzs5GRMRx+PqOwJYtQZBIJMjMzESVKpbqbatUsURiYkKxxkdEREREREWDXdapxIuJeYTu3T3QrFkDxMXFITExAVWqWMLSsipOn/4Lzs6uWvv88MP3cHJqg507Q3HgwHF069YDgvB2nVwux5AhI7Bly+8ICPgFf/0Vgf37Q1C5chXo6ekjJOQQ9u8/hv37j+HgwePYsiUox5ElGuUEBPgDkGDTpu04ePA4pk+fDUFVEACJRHP7gpDJZHB2doVMJsWVK5dgamoGuVyOuLgn6m3i4+Pe6R1QsPiIiIiIiEg8TMipxBsz5iv1ePHMzEysXLkMADBlygysWLEaZcqU0donPT0d5cqZwsDAADduXEN4+P9mZb9wIRJ3795BdnY2ypYtC5lMDqlUhkqVKsHB4TP4+y/Dy5dpUCqViI2NwcWLUbnGlp6eDiMjIxgbmyAh4Sm2bw/UWF++fAU8fhxbqPMWBAEnTx5DamoqatasDZlMBlfXDli7dhXS018iLu4JduzYqjV+viDxERERERGReJiQU4n34MF9KJVK9ev4+HgAgJVVNdjY1Ne5z4QJ32H9+gB06NAGv/66Hq6u7dXrkpISMW3aJLi5OaNfv15o2tQOHTt2AgBMm/YjsrIy0b9/b3Tq5IJp0yYhKSkx19gGDx6OW7ei4e7eFt9++w3atNFsrR8wYBA2bdoAd/e22LZtc77O97vvxqNDh9bo2NEZa9euwvffz0KdOp8AAL755tv/H9veDaNGDUOHDu7w8Oha6PiIiIiIiEg8EqEE9l/19/eHn58f9u7dC4VCke/9kpLSoFQW7nTMzU2QkJBaqH3p4+re3QP379+DUqmEVCpFrVq1ERwcKnZYlAt+lkoH1lPpwHoq+VhHpQPrqeRjHZUOYtaTVCpBxYrGopT9MZW4FvLr16/j0qVLqFq1qtihUAmxYkUAatV622X7008/xYoVAWKHRERERERE9MFK1Czrb968wY8//ohFixZh4MCCPbOZ/r2qVauubhHnr6dERERERPRvUaIS8uXLl6Nr166oXr16ofb/0C4M5uYmH7Q/FQ/WU8nHOiodWE+lA+up5GMdlQ6sp5KPdVQ6sJ6KVolJyC9evIirV69i4sSJhT4Gx5D/+7GeSj7WUenAeiodWE8lH+uodGA9lXyso9KBY8iLXokZQ37+/Hn8888/aNeuHVxdXREXF4ehQ4ciIiJC7NCIiIiIiIiIilyJaSEfMWIERowYoX7t6uqKgICAAs2yTkRERERERFRalJgWciIiIiIiIqL/khLTQv6uI0eOiB0CERERERER0UfDFnIiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIiIiIiIhIBE3IiIiIiIiIiETAhJyIqBnPmzMLatavEDoOIiIiIShC52AEQEZUUPXt2QXJyMmSy//1WuX17MCpVMv+o5YaF7cW8ebNhYGAAiUSKqlWtMHz4SLRq1fqDjvvkyWP06tUVx46dgVxePLf7OXNmwdy8MkaMGFUs5RERERGVZkzIiYhymD9/CeztPyv0/llZWYVKfhs0aIjVqzdAqVQiODgIM2ZMxq5dYShXzrTQsXyowp4LEREREeUPv2kREeVDRMRxBASsRGLiU3z6qQITJ05BrVq1AbxtWff07IHw8P14+PABwsNP4p9/7mDevNl49OgRHB1bQSLJXzlSqRQeHt2wbNkiPH4cC0CCn36agRs3riErKxuNGjXGxIlTULmyBQDA13cEGjduigsXzuPOnTuwtW2ImTPnwMzMDF9/PRwA0KmTCwBg6dKVsLVthJCQPxEUtBVPnyagfv0GmDTpe1SpYgkAcHJqjnHjJuH337cjOzsbv/++B8uWLcKJE0eRlpaGatWqY+zYCWjcuGnRXmAiIiKi/yCOIScieo+HDx9g1qzvMXbseISEHIKjYyt89904ZGZmqrc5dOggFixYhv37j0IQBEyZMhFubp2xb98RuLi0w7FjR/JVVlZWFvbu3Y0yZYxQrVoNCIISnTt3wR9/hCA4OAT6+gZYunSBxj7h4fsxZcpMhIQcRGZmJrZv3wwAWLlyHQBg376jCA8/CVvbRjhx4hg2b94If39/hISEo1GjJpg163uN4508eQxr1/6KLVuCAAD16tXHxo1bERZ2GB06uGP69Ml4/fp1oa8nEREREb3FhJyIKIepUyfC3b0t3N3bYsqUCQCAI0fC4ejoBHv7FpDL5ejbdwBev36Nq1cvq/fr2fMLWFhUgYGBIa5fv4qsrCz07u0NuVwOF5f2qFevQZ7l3rhxDe7ubdGtmxsOHTqAuXMXwtjYGKamZmjbth0MDQ1hZFQWAwcOwcWLFzT27dy5C2rUqAkDA0O4unbA7dt/51rOn38GY8CAQfjkk08gl8vh4zMEt2/fQlzcE/U2AwYMRrlypjAwMAQAuLl1hqmp2f+fe3+8efMGDx8+KPC1JSIiIiJN7LJORJTD3LmLtMaQJyYmqLt0A2+7lVeubIHExAT1MgsLC43tzc0rQ5Kjn7qFRZU8y61f3xarV2/QWv7q1SusWLEYZ8+eRmpqKgAgPf0lsrOzIZPJAAAVK1ZSb29oaIiMjPRcy4mPf4Llyxdj5crlEAQBACAIQELCU/U5qrrDq2zfvgUhIbuRmJgAiUSCly9f4sWL53meDxERERG9HxNyIvpPi4l5hDFjvsKDB/dRtmxZjSRbpVIlc9y9e0f9WhAEPH0a/87s6/9LvitWrISEhKcQBEGdlD99Ggcrq2oFju+337bg4cMHWLv2V1SsWAm3b9/C4MH91Ml0XiQ6Bq5XrmwBH58h6NevNxISUt+73+XLF7F16yYsX74atWvXgVQqhbu7S77KJyIiIqK8scs6Ef2njRnzFe7fv4fs7GxkZWVh5cplWtu4urbH6dMRiIw8h6ysLGzfvgV6evpo2LCxzmPa2jaCTCbD77//hqysLBw/fgQ3blwvVHzp6S9hYGAIY2MTpKS8wC+/rMv3vmZm5SGVSv9/cri3unXrgc2bN+L27dsAgLS0NBw5cijP8mUyGczMzJCdnY2NG9chPf1lnuUqlUq8fv1a/V/OsfZERERE9D9sISei/7QHD+5DqVSqX8fHx2ttU6NGLUyfPhvLli1EQsJT1K1rjfnzl0BPT0/nMfX09DB37kLMn/8T1q1bDUfHVnB2di1UfL17e2PWrO/x+eftUbGiOfr06YeTJ4/la19DQ0P4+AzBqFFDkZWVhUWL/ODs7IKMjHSMHz8eMTGxMDY2RvPmDnB1ba/zGA4OjmjRoiX69u2BMmUM0bu3t1aX9ndt2fIrtmz5Vf26YcPGOrvjExEREf3XSYQS1O9w1KhRiImJgVQqhZGREaZPn4569erle/+kpDQolYU7HXNzk1y7b1LJwXoq+UpbHXXv7oH79+9BqVRCKpWiVq3aCA4OFTusj6601dN/Feup5GMdlQ6sp5KPdVQ6iFlPUqkEFSsai1L2x1SiuqzPnz8fe/bswe7duzFkyBBMnTpV7JCI6F9uxYoA1KpVGzKZDLVq1caKFQFih0QkmsuXL6Jv3+4fdIwJE8Zg376QIoqIiIjo361EdVk3MTFR/zstLU3nhEREREWpWrXq/4kWcSqZevbsguTkZMhk//t9fPv24HcmDCw+jRs3xfbtwbmud3JqDkNDQ0gkEujp6aNuXQW6dvVCu3Yd1dssXryiOEIlIiL6VyhRCTkAfP/99zh16hQEQcD69esLtO+HdmEwNzd5/0YkOtZTycc6Kh1YT+KTyaRYsyYALVu2zHWb99WTIAgQBAFSqTTPZe+TlZUFufz9Xwv27NmDmjVrIjk5GSdOnMC8efOQmPgEvr6++S7r34afpdKB9VTysY5KB9ZT0SpxCfmcOXMAALt378aCBQuwbl3+ZxTmGPJ/P9ZTycc6Kh1YTyVDdrYSz5+n66yLa9euYs2aFbh9+zYsLCwxduwE2Nk1BwD4+o5Aw4aNcelSFG7duoXAwN8wb95srWWXL1/Etm2BePr0KczMyqNfPx94evYAAFy4EInZs2egR4/eCAraDnt7B3h4dMPs2TOwa1dYrjEnJ7+EkVEqAD20atUO48cLmD17Btzdu8HU1Ay+viPg5tYZXbp4IixsL/bu3Y0GDRoiJORPmJiYYPz47+Do2AoAkJiYgIUL5+LKlcsoV64c+vUbiK5dvYr+Qn9E/CyVDqynko91VDpwDHnRK3EJuYqnpydmzJiBZ8+eoXz58mKHQ0REVGwSEp5i0qRvsGjRQtjYNEFU1DlMm/Ydtm79Q/038cCBMCxatAI1atRU7/fusocPH2DBgmWoWtUKly5dwMSJY1CvXgNYW9sAAJKTk5CSkoI//tgLQVDi+vVrBY61deu2yM7Oxo0b19WJdk43blxDp06fIzT0EPbs2YV582Zj9+59kEgkmDXre9SqVQe7d+/Dw4f3MW7c16ha1QrNmzsU5rIRERGVOiVmUreXL1/iyZMn6tdHjhyBqakpzMzMRIyKiIjo45o6dSLc3dvC3b0tpkyZAOBtYu3o2BLOzs6QSqWwt28BG5t6OHPmlHq/zp27oE6dTyCXy9Vdzd9d1rKlE6ysqkEikaBp02ZwcGiBy5cvqo8hkUgwdOiX0NfXh4GBYaHil8vlMDU1Q2pqis71VapYomtXL8hkMnTq9DmSkhKRnJyE+Pg4XLlyCaNGjYaBgQHq1rXG55974sCB3FvniYiI/m1KTAt5RkYGxo4di4yMDEilUpiamiIgIIATuxER0b/a3LmLYG//mcayuLg4HD16GM2bN4fq6aRZWVlo2rS5ehtdz4N/d9np06ewceM6PHr0EIKgxKtXr1Cnzqfq9WZm5WFgYPBB8WdlZeH582cwMSmnc32FChXV/zY0fJv0Z2Rk4MWLFyhXrhyMjMqq11epUgXR0Tc+KB4iIqLSpMQk5JUqVUJQUJDYYRAREYnOwsICbm6dsWjR/FzH6un6wTrnsjdv3mDatEmYNu0HtG7dFnK5HFOmTFAn+Lkdo6BOnjwGmUyG+vUbFGi/SpUqISUlBenpL9VJeXx8PMzNK39wTERERKVFiemyTkRE9F8QE/MI3bt7oFmzBnj6NB6JiQla23Ts2AmnTp3EyZMnkZ2djdevX+PChUg8fRqf73KysjKRmZkJM7PykMlkOH36FM6dO1Nk55GS8gIHD+7DkiUL0K/fQJiaFmyImYVFFdjaNkJAgD9ev36NO3duIyTkT3Ts6F5kMRIREZV0JaaFnIiI6L9gzJivcP/+PSiVSmRlZWHlymXo1OlzjW0sLKrg558XY82alYiOvgWZTIp69RpgwoQp+S7HyKgsxo6diBkzpiAz8w1atWoNJ6c2Hxz/oEF9IZFIIJfr4dNP62L06PGFTqJnzZqDRYt+hqdnJ5iYmGDo0BGwt2/xwTESERGVFhIhZ9+1Uo6PPfv3Yz2VfKyj0oH1JJ5mzRogOztb/VomkyEq6rrObVlPJR/rqHRgPZV8rKPSgY89K3rssk5ERFSMatasBan07Z9fqVSKmjVriRsQERERiYYJORERUTFasSIAtWrVhkwmQ61atbFiRYDYIREREZFIOIaciIioGFWrVh3BwaFih0FEREQlAFvIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBEzIiYiIiIiIiETAhJyIiIiIiIhIBHKxA1B59uwZJk2ahIcPH0JfXx81a9bEjz/+iAoVKogdGhEREREREVGRKzEt5BKJBMOGDcOBAwewd+9eVK9eHYsWLRI7LCIiIiIiIqKPosQk5GZmZvjss8/Ur5s0aYLHjx+LGBERERERERHRxyMRBEEQO4h3KZVKDBkyBK6urvDx8RE7HCIiIiIiIqIiV2LGkOc0e/ZsGBkZoX///gXaLykpDUpl4X5fMDc3QUJCaqH2peLDeir5WEelA+updGA9lXyso9KB9VTysY5KBzHrSSqVoGJFY1HK/phKXEI+f/58PHjwAAEBAZBKS0yPeiIiIiIiIqIiVaIS8qVLl+LatWtYu3Yt9PX1xQ6HiIiIiIiI6KMpMQn57du3ERAQgFq1aqFPnz4AgGrVqmHlypUiR0ZERERERERU9EpMQl63bl3cunVL7DCIiIiIiIiIigUHaRMRERERERGJ4L0JeUZGBm7cuIG0tDStdVFRUR8lKCIiIiIiIqJ/uzwT8itXrsDFxQUDBgxAq1atsG7dOo31w4cP/6jBEREREREREf1b5ZmQz5s3D+PHj0dUVBR+++037NmzBzNmzFCvF4TCPfObiIiIiIiI6L8uz4T89u3b6NWrFwCgXr162L59O+7du4dvv/0WSqWyWAIkIiIiIiIi+jfKMyE3NDREcnKy+rWxsTHWr1+P5ORkjBkz5qMHR0RERERElJc5c2Zh7dpVYodBVCh5JuQODg7Yu3evxjIDAwOsXr0aWVlZePXq1UcNjoiIiIiISraePbvA1bUVOnRojS5dOmLu3B+Qnp4udliFkpDwFJMnj0enTq7w8uqM3bv/0Fg/f/4c9O3bHa1b2yMsbG8uRwHGjPkKTk7NkZWVles2+/aFYMiQ/ujY0RleXp2xatXyPLenf6c8E/Lvv/8e7dq101qur68Pf39/BAYGfrTAiIiIiIiodJg/fwnCw0/il1+24ObN69i0aUOBj1ESktEff5wOS0sr7N17EAsWLMOaNatw4UKkev2nn9bFhAmToVDY5HqMgwf3ITs7+71lvXr1CmPHTkBo6CGsXfsrIiPPY/v2LUVyHlR6yPNaWaFCBVSoUEH3jnI57O3tP0pQRERERERU+pibV0aLFq1w795dAEBiYgIWLpyLK1cuo1y5cujXbyC6dvUCAGzYsAb37t2Fvr4BTp06AV/fcfjkk0+xePF8PHr0EAYGBujY0R2jR48HAFy+fAmrV6/A/fv/wMioLIYN+wqdO3cBAKSmpuLbb8fi0qWLqFWrNmbNmgMrq2oAgAcP7mPp0gW4dSsaZmZmGDZsJNq166AVe3p6Oi5ejMKPP86DXC5H3boKtG3bDqGhf8LOrjkAoEeP3gDeNlDqkpaWhl9+WYdp037AV18NzvNaeXn11LhuHTu648IFPlb6v+a9zyEnIiIiIiLKj/j4OJw+fQp161oDAGbN+h7m5hbYvXsffvppPtauXYnIyHPq7U+ePI62bdshMjISHTu6Y/nyxejVqw8OHjyOHTt2w8XlbeIcFxeHiRPHoEeP3ggJOYSNG7eibl2F+jiHDh3A4MHDsW/fEVSrVh1r164EAGRkZGDcuK/RoYM79u49iFmz5mLJknn455+7OqIX3vn/23/r3la3NWtWwsurBypWrJjvfVQuX76I2rXrFHg/Kt2YkBMRERER0QeZOnUi3N3bYtSoYWjSxA4+PoMRHx+HK1cuYdSo0TAwMEDdutb4/HNPHDgQpt7P1rYR2rRpC6lUCgMDQ8jlcsTGxuD58+cwMjKCrW1DAEB4+D40b+6ADh3cIZfLYWpqpk76AcDZ2QX169tCLpejZtQGjQAAIABJREFUY0d33L79NwDgr79OokoVS3h4dIVcLoe1tQ2cnV1x7NhhrXMwMiqLhg0b49df1+P169e4dSsax44dyfe8WdHRN3D16mX06PFFga9faOgeREffRN++Awq8L5VueXZZJyIiIiIiep+5cxfB3v4zjWWJiYkoV64cjIzKqpdVqVIF0dE31K8rV7bQ2Gfy5OlYvz4A/fr1gKWlFQYPHo5WrVojPj5e3QVdlwoV/tcibWBgiIyMDABAXNwT3LhxDe7ubdXrs7Oz4ebWWedxZs78CUuWzEePHh6wtLRCx47uuH//3nvPX6lUYvHieRg7dgLkcu0U6+DBfVi4cC4AoFGjpli8eIV63YkTxxAQ4P9/7N13fI3XH8Dxz73ZO2RHCEXtVVtDrEgkVu1SrVFqEzVqNvZeMX9as9RsUFvEJtRW1GxsWSJC9h2/P6K3bgVBIgnf9+uV1yvPc85znu9zT7j33LOYNWs+tra2r72X+LBkqEHeo0cPFixY8ML53r17M3fu3EwPSgghhBBCCJFz3b17h759u3Pr1k0sLCyIjo56IY+9vT1xcXEkJMTrGuURERE4ODjq8igUCr1r8ucvwOjRE9BoNBw4sJeRI4ewbVsITk5OXLp08Y3jdHR0onz5z5g1K2Pbojk7uzBlyizdcUDAcEqUKPXa6+Lj47l8+S9+/HEYABpN2qJuzZv7MXbsJBo0aEiDBg1fuO7YsaNMmTKOKVNmUbhwkQzFKD4sGRqyfvz48XTP//HHH+meF0IIIYQQQny4+vbtzs2bYajValQqFfPmzXohj5OTM6VLl2XhwrkkJydz/fo1tm7dTIMGPi8td9eu7Tx69AilUomlpRUASqUSL6+GnDz5ByEhwahUKh4/juXatSuvjfPzz2ty585tdu7chkqlQqVS8ddfF1/a633zZhgJCfGkpqaya9d2Tpw4Rps27XXpqampJCcnA1pUKhXJycloNBosLS3ZtGkHS5euYunSVUydOhuAxYt/oWTJ0une69SpE4wZM5Jx46a8NI/48L2yh3z27LQ/pNTUVN3v/7hz5w6urq5ZF5kQQgghhBAiR7p16yYajUZ3HBERkW6+gIDxTJs2kWbNGmJlZUWXLt2oXLnaS8s9fjyUOXNmkpychJOTCwEBEzAxMcHZ2Zlp02Yzd+4sJk8eh6WlJV279tCbR54ec3MLZs6cy5w5M5k7dyYajZYiRYrSp49/uvn/+COUFSuWkJSURNGixZg+fQ558uTRpfv79+Ls2dMA/PnneaZMGU9g4EI++6wSdnb2unwpKSkA5MmTN90h7ADLlv1MfPxTBg3qpzv33+Hs4sOn0Gq12pclDh06FIAtW7bQuHFjvTR7e3tatmyJu7t71kb4Bh4+fIpG89LHeSUHByuiop5kckQis0k95XxSR7mD1FPuIPWU80kd5Q5ST5mveXM/bt4MQ6PRoFQqKViwEEFB2966PKmj3CE760mpVGBnZ5kt985Kr+whnzhxIgAVKlSgdevW7yUgIYQQQgghRM4WGLhQN4fc3b0ggYELszskIXKlDC3q1rp1a548eUJYWBjx8fF6adWrV8+SwIQQQgghhBA5k5tb/nfqERdCpMlQgzwoKIgxY8Zgbm6Oqamp7rxCoSAk5MU9/IQQQgghhBBCCPFqGWqQz5w5k9mzZ+Pp6ZnV8QghhBBCCCGEEB+FDG17plar8fDwyOpYhBBCCCGEEEKIj0aGGuRdu3ZlwYIFelsbCCGEEELkJhqVKrtDEEI8p2XLxpw4cfyNr/PwqMTdu3cyPZ7t27dQq1YVvLxq6v1ER0dl+r2E+EeGhqwvW7aM6Ohofv75Z2xtbfXS9u/fnxVxCSGEEOIjEnf1MpemTCDh3l3sqlRDoVRgni8/Rb7tTtTRw1xf/D+Swh9gUbAQJQYMxqpwUQDCVq3g3rbNpDx6hKmjI0W+7Y5jzdoA3N+xlbvbNmNTvBT3d20nf9PmFPm2ezY+pRAipytVqgwLFix+53JUKtVL9x8X4nkZ+iuZOnVqVschhBBCiI+UJjWVcyN/wL3Vl7g1a0HU0UP8OWYkBdt+RdzVy1ycMp4KE6ZiXawED4J3cnbYID7/ZR1KY2PM8+WjUuBCTPLaEbE/hD/HB+CxagMmdvYAxF26hHNdLzw3bkerlh5yIXKL33/fyKpVy4mLi6Ns2XIMGjQMe3sHevXqCkDHjl+iUCj44YeRJCcns2XLJr2GtIdHJdas2YibW35CQw8zb95sIiIisLCwoHXrdrRr1+GNY3q+TIDx4wNwcHCkW7eenD59krFjR9GiRWvWrVtN5cpVGDly7Euf45/y+vUbyLp1q0lIeIqvbxN69OiDUqnk3r27TJ48juvXr6FQQJUq1RkwYAhWVlaZ8OqKnCRDQ9arVKny0h8hhBBCiHfx+NIFtGo1+Vu0RmloiFOtOtgULwnAva2bcWvcDJuSpVEYGODq44fS2JjYSxcAcKpdD1N7BxRKJc51vTDPl5/Hf13SlW1ib0+B5mnlGpiYpnt/IUTOcurUCf73v7mMGTOJzZt34uzswo8/DgNg3ryfAFi2bDXBwYeoV6/Ba8ubNGksgwYNIzj4ICtWrKVixcpZEndMzEPi4uLYsGELgwcPf+Vz/OPgwX0sXryCxYtXcejQAbZt+x0ArVZLhw4d2bRpBytXbiAyMoIlSxZlSdwie2WohzwlJYV58+axdetWYmNjOXXqFIcPH+bmzZt89dVXWR2jEEIIIT5gydHRmNg7oFAodOdMHJ0ASIwI5/6u7dwJWq9L06hSSX4YDcD9Xdu5tW41SeEPAFAnJpL6OPa5chzfxyMIITLR7t078PNrQrFixQH47rveNGxYhwcP7uPi4vrG5RkYGBIW9jdFihTF2toaa2vrl+a9dOkCPj61dcfW1jasW7c5Q/dRKBR06fIdxsbGGX6O9u2/wdraBmtrG1q3/pI9e3bRuHEz3Nzy63rijY2NadOmPUuXSoP8Q5ShBvmECROIiIhg2rRpdO2aNkykaNGiTJw4URrkQgghhHgnxnZ2JEdHodVqdY3y5MgIzF3zYeroRKGvOvJJh04vXJcY/oBL0yZScfocbEuVQWFgQGiXDmi1Wl0eBYoXrhNC5GzR0dF8+mlx3bG5uTk2NrZERUW+VYN8/PgpLF++mIUL51KkSFG6d+9N6dJl081bsmTpt55DbmubBxMTE91xRp7D8dmXjwDOzi66BeQePYph1qypnDt3loSEBLRaDVZWL/8iQeReGRqyvmfPHqZPn06FChVQKtMucXJyIiIiIkuDE0IIIcSHz7ZUGRRKJXc2rkejUhF5+CCPL6cNO8/n15S7v29MG9au1aJOTCQq9AiqhHjUSUkoUGBsmweAezu2Eh/2d3Y+ihDiNe7evUPz5n5UrFiKyMiIdFcwt7e3JyLige44MTGRx49jcXBIf8SLqakZyclJuuOHz0bQ/KNEiVJMmjSDrVuDqVnTk1Gjhr5V7KampiQlPX+fh3rpz4/yyehzREb+256KiAjXzS9fuHAuoGD58tXs3n2AkSPH6n3ZKD4cGWqQGxkZoVar9c7FxMS8sOK6EEIIIcSbUhoZUXbMJO5t28L+Rl48CN6JQ/XPURobY1O8BCUHDuXy7Onsb+TF4fYtub9zGwCWBQvh3uZL/ujVlQNf+PL07+vYlEm/10sIkTP07dudmzfDUKvVqFQq5s6dRXJysu5HpVLh5eXD9u1buHbtCikpKfzvf/MoWbK0rlc5b1477t+/pyuzSJGihIX9zbVrV0hOTtaba52amsru3Tt4+vQphoaGWFhY6DoY31TRop8SHLwTtVrNsWNHOXv29Cvzv+45AFav/oW4uDgiIsJZv341det6AZCQkIC5uTmWllZERUWyevWKt4pZ5HwZGrLu4+PDkCFDGDo07dukyMhIJkyYgJ+fX5YGJ4QQQryLQ22aUXLQMOwqySKkOZ1N8RJUX/yL7vh4j87Y16gJgH3V6thXrZ7udUW+7UGRb3ukm+basBGuDRtlfrBCiLd269ZNNBqN7vjx41jq1ftcd/z1153p1q0n337bneHDB/PkyRPKlCnL6NETdHk6d+7K+PE/kpyczKBBw6lXz4uOHb+lf/+emJiY8t13vdi8OUiXf+fO7cyYMQWNRkOBAu6MHDn2pfFdvPgnXl419c4FBi6kRIlS9Os3kHHjAggKWk+tWp7UrOn5ymetVKnKK58DwMPDky5dOhAf/5SGDRvRqFFTADp16sq4cT/i41ObfPny4+3ty7p1v77yfiJ3UmgzMPYhJSWFqVOnsmHDBhITEzEzM6NVq1YMHDhQt2hBTvDw4VM0mrcbyuHgYEVU1JNMjkhkNqmnnE/qKHf4WOoptzfIP5Z6Aog5exqL/O4Y2dgQvmcXf82Ygsfq33Tbl+VUH1Md5WZSTzlH8+Z+3LwZhkajQalUUrBgIYKCtn2UdfTfbdRyg+ysJ6VSgZ2dZbbcOytlqIfc2NiY4cOHM3z4cGJiYsiTJ88LcySEEEKInEKjUqE0zNBbnMghEu7c5s/Rw1ElJmLumo+yoyfk+Ma4EOLNBQYupG/f7ty6dRN394IEBi7M7pCEyFYZ/rTy5MkTwsLCiI+P1ztfvXr6Q8iEEEKIt5UUGcGVOTN4dP4caDU4121AgVZtuTRtIk9vXAMU2FWpSvF+gzCysgLSesPdmjYnfM8u4u/cpu6OfQDEXfmLK3NmkPzwIY4etSjuPxiD51bBFTmDW+NmuDVult1hCCGymJtbfoKCtmV3GELkGBlqkAcFBTFmzBjMzc0xNTXVnVcoFISEhGRZcEIIIT4+WrWaM0O/J2+FStRcEwBKJXFX/gKtlkLtvyZP2QqoEuI5N2oofy/7mWJ9/HXXhocEU2HSDIxsbHQ95A+Cd/HZ1NkYmJpyZthAwn5ZSpFvu2fT04ncbPz4ABwcHOnWrWd2hyKE+AAcPnwyu0MQOUCGGuQzZ85k9uzZeHq+euECIYQQ4l09vnyJ5OhoinbvrWtU5ylbHgDzZ/PsjI2NcW/1JX8v198rtkCL1pg+t6crQP4vWurOFfqqE1cCp0uD/APRsmVjoqOj2LRpp97OLx07tuP69ausX//7W+1ZnBVatmxMTEwMBgZKzMzMqVq1Ov7+gzE3Nwdg+PBBWFvbMmTIcN01Q4d+j4ODIwMGDNEra8KE0WzfviXXzT0VQgjxogyt+a9Wq/Hw8MjqWIQQQgiSIiMwdXJ+YQ54yqMYzo8ewcGWjdnrW5cL4wNIeRyrl8fU8cU9ap9voJs5OZMcHf1CHpF7ubi4smfPTt3xjRvX9fYjzkkmT55BcPAhli5dxdWrV/jll6W6tAEDhnDgwF5On07rMQsJ2c3Vq1fo3r2PXhnnzp3l3r277zVuIYQQWSdDDfKuXbuyYMECvS0KhBBCiKxg6uhEUmQEGpVK7/y1nxaAQkG1xSupu30vpYcHwAsbhby44GhSZMRzv4djYi8LhX1IvL192blzu+54x46t+Pjob8t69OhhOnVqR4MGnjRv7sfixf/Tpc2YMRkvr5q6H0/Pqrr0q1cv07lze7y8ajFq1FBSUpJ118XFxTF4cH+qVauGj08dBg/uT+Rzf2uvYmdnT9Wq1bh+/areud69+zN58jjCw8OZNWsagwYN0/WgA6hUKmbNmoK//+A3e5GEEELkWBlqkC9btowFCxbw2WefUbt2bb0fIYQQIjPZFC+JiZ0d1xfNR52YiDo5mdg/z6FOSMDQzAwjS0uSoiK5uXZlhsq7u+k3kiIjSY17TNjK5TjVqZ/FTyDep1KlyhAf/5SbN8NQq9Xs3RuMt7evXh5TU1NGjBjDzp37mDJlFps2/cbBg/uBtJ7p4OBDBAcfYv78n7GysqJmTU9SU1MZOnQg3t6+7Nixlzp16rF//15dmVqtBl/fxuzbt4+goK0YG5swc+aUDMUcGRnBsWNHyZdPf7i5r29j8uVzo0uX9lStWp1q1Wropa9b9yvlyn1GkSJF3+KVEkIIkRNlaA751KlTszoOIYQQAgCFgQHlJ0zjSuAMDrVpCihwrt+AT77pwoWJo9nnVx+zfG64NPDh9vo1ry3PuX4DTg/qS3J0NA4etfikQ6esfwjxXqX1km+jfPnPKFDAHXt7B730zz6rpPu9SJGi1K/vzdmzp6hVq7bu/KNHjxg6dCD9+w/i00+Lc/bsaVQqFa1bt0OhUFCnTn3Wrv1Vl9/GxpbatethZmaGubmKb77pTJ8+r16bYNiwgYCCxMQEKlasTJcu372Qp2zZ8vzxxzG8vRvqnY+ICGfz5iAWL87YF1FCCCFyhww1yKtUqZLVcQghhBA6Zk7OlB//Ym9jtUXL9Y4Ltmmv+73m2k0v5P/nXKH232RyhOJ1tFott39bR/Txo1ScOjtL7+Xj40evXl158ODeC8PVAS5evMDChXMIC7tBamoqqamp1KlTT5euUqkYOXIIXl4+1K/vDUB0dBQODo4oFP9Og3Byctb9npSURGDgdE6ePE5s7GMAEhLiUavVGBgYpBvnhAnTqFy5KmfOnGL06BE8fhyL1bNt+wDu3LnNmjUr+eKLVsydO4vFi1di+GwthcDA6XTs+C2Wlpbv8EoJIYTIaTI0ZD01NZXAwEDq1atHmTJlqFevHoGBgaSkpGR1fEIIIYTIZZKiozjZ5zuu/W8ucX9dzPL7OTu74OLiSmjoUTw9676QPnr0cDw8avHbb9vYtesATZu20Ft+YObMKZibm9O1aw/dOTs7e6KiItE+lzEyMlz3+5o1K7l9+xbr1q1j9+4DzJu3CEAv/8tUqFCRhg0bMW/eLN05rVbL5MnjaNXqS/z9B2FqasbKlct06adOnWD+/ECaNPGmSZO0Lw26d+/E7t07/1u8EEKIXCTDQ9bPnz/P6NGjcXV15f79+8yfP5+nT58ybNiwrI5RCCGEELlE+P4QLk0Zjzo5GdRqDPPaZWr5d+/eoW/f7ty6dRMLCwuio6MAGDp0FE+exGFmZobqPwsCJiQkYG1tg4mJCZcuXSA4eCdVqlQDYNOm3zh79jSLFi1Dqfy3n6J06bIYGBiwfv0amjdvxZEjB7l06SIVKlR6VmY8JiamWFtbc/duFEuW/PRGz9G6dTtatWrMtWtXKFq0GBs3biA2Npavv+6MUqnkhx9G8t13nahTpz7u7gVZvTpIb3Hdpk19mDRpJkWLynxyIYTIzTLUQ75z504WLFiAh4cHn3zyCR4eHsydO5cdO3ZkdXxCCCGEyAVU8fGcDxjOxYljUSckgFoNgKGl1WuufDN9+3bXLeCmUql0vcz58rlRvHjJdK/5/vsh/PzzQry8arFs2c/Urfvvwn579uzi/v17NGvWULfS+ooVSzAyMmLChKns2LGFhg3rEhISrNf73rp1O5KTk6hWrRrdunWiatXqb/QcefLkwcfHj2XLfiYiIpxFi+bxww8jMTIyAqBQoU9o27Y9kyePQ6vVkidPXuzs7HU/ALa2tpiYmL7RfYUQQuQsCm0GxlbVrFmT33//nTx58ujOxcTE0KRJEw4fPpylAb6Jhw+fotG8fqhYehwcrIiKepLJEYnMJvWU80kd5Q5ST7lDbqmnR+fPcn7UUFTx8WhS9aez5a1YmYrT52TavSpWLIX6WWMfwMDAgFOnsn5Y/Mvkljr62Ek95XxSR7lDdtaTUqnAzu7DW0cjQ0PWfXx86NGjB7169cLV1ZV79+6xYMECGjZs+PqLhRBCCPFB0qSmcm3RfO7+HoQmOTndPMZ58mbqPd3dC3LzZhgajQalUom7e8FMLV8IIYR4nzLUIB80aBALFixgzJgxREZG4ujoiJ+fHz179szq+IQQQgiRAz29Gca5EYNJiop8aWMcwMQuc+eQBwYu1M0hd3cvSGDgwkwt/7/Gjw/AwcGRbt3kM48QQojMl6EGubGxMf369aNfv35ZHY8QQgghcrhH589xyr8n2ueGjqdHYWCY6T3k/fv3JCbmISEhR7C1tdWd79ixHdevX2X9+t9xcXHN1Hu+rZYtGxMTE4OBgRIzM3OqVq2Ov/9gzM3NARg+fBDW1rYMGTJcd83Qod/j4ODIgAFD9MqaMGE027dvYc2ajbi55X/hXr/8spRz584wbVqg7lzbtl/g5pb/hXPffttdt72bEEKI7JWhRd0AQkNDGTFiBN26dWPEiBGEhoZmZVxCCCHEC57eDOPhqRPZHcZHz8zFBbemzbEo9AkKQ0MMzM1RKF/8SKE0MsTI2ibT7+/i4sqePf9u93XjxnWSk5My/T6ZYfLkGQQHH2Lp0lVcvXqFX35ZqksbMGAIBw7s5fTpkwCEhOzm6tUrdO/eR6+Mc+fOcu/e3Vfep1y5Cvz55znd/PqHD6NRqVRcvXpF79zdu3coX/6zzHxEIYQQ7yBDDfKlS5cyYMAAbGxs8PT0xNbWlu+//54lS5ZkdXxCCCGEzu3f1nL6+z6c9O9F/J3b2R3OR8vUwZHifb+nxtJfqbtzP+6tvkSr0ZCnXAWM89qlNdItLNCo1RhZWWf6/b29fdm5c7vueMeOrfj4+OnlOXr0MJ06taNBA0+aN/dj8eL/6dJmzJisW1Hdy6smnp5VdelXr16mc+f2eHnVYtSooaSk/DscPy4ujsGD+9OoUX18fOoweHB/wsPDyQg7O3uqVq3G9etX9c717t2fyZPHER4ezqxZ0xg0aJiuBx1ApVIxa9YU/P0Hv7L8EiVKoVKpuHYtrfyzZ8/w2WeVKFDAXe9cvnxu2Ns7ADBr1jSaN/ejQQNPOnf+inPnzujKS05OYty4H/HxqUP79i1ZtWo5X3zhm6FnFUIIkXEZapAvWbKE5cuXM2jQINq3b8/AgQNZvny5NMiFEEK8V/ZVa2BgZs6jc2c41uUrLs2YTGrc4+wO6+Om0fD38sWYu+Wn0uwFeAZto9Zv2yg7aixFunxH3oqVMv2WpUqVIT7+qW77s717g/H21m8smpqaMmLEGHbu3MeUKbPYtOk3Dh7cD6T1TAcHHyI4+BDz5/+MlZUVNWt6kpqaytChA/H29mXHjr3UqVOP/fv36srUajX4+jZmw4atBAVtxdjYhDFjxmQo5sjICI4dO0q+fPrDzX19G5MvnxtdurSnatXqVKtWQy993bpfKVfuM4oUefV+40ZGRpQsWZpz504DcO7cacqWLU+ZMuX0zpUrV0F3TYkSJVm6dBXbt4fg5eXDyJE/kPxsPYAlS34iPPwB69ZtZubMeezeLVvdCiFEVsjwkHV3d3e94/z586NQKDI9ICGEEOJl8pSrkLatlkaDJiWFBzu2cahNM26tX4NGpcru8D5Kh9u1AKD6stW6c8Y2NthXrUHBtl9haG6RJfdN6yXfxokTxylQwF3X6/uPzz6rROHCRVAqlRQpUpT69b05e/aUXp5Hjx4xdOhA+vcfxKefFufixT9RqVS0bt0OQ0ND6tSpT4kSpXT5bWxsqV27HqamppibW/DNN505ceLVUyiGDRuIl1ctmjf3I0+evHTp8t0LecqWLc/jx4/x9tbfvSYiIpzNm4P49tvuGXpNypf/jLNn03q5z507S7lyFShXroLeuQoVKurye3v7YmNji6GhIV9++RUpKSncvn0LgL1799ChQyesra1xdHSiZcu2GYpBCCHEm8nQom59+vRh2LBh9OnTB2dnZx48eMD8+fPp27cvGo1Gl0+ZzvyxNzF58mR27drFvXv32LJlC59++uk7lSeEEOLDYmRlhZmzCwl37wCkNc5T4frihdxa9yslBgzBvloN+cL4PYk8cpDk6CgqTJmF0jBDHykyjY+PH716deXBg3svDFcHuHjxAgsXziEs7AapqamkpqZSp049XbpKpWLkyCF4efnoFjiLjo7CwcFR7+/HyclZ93tSUhKBgdM5fjyUJ0/S9uFNSIhHrVZjYGCQbpwTJkyjcuWqnDlzitGjR/D4cSxWVla69Dt3brNmzUq++KIVc+fOYvHilRg+ey0DA6fTseO3WFpmbN/d8uU/Y+PG9cTFxREb+4j8+QuQN29exo8PIC4ujrCwG3o95KtXr2Tr1k1ER0ehUCiIj4/n8eNYAB4+jMLR0UmX9/nfhRBCZJ4MtaBHjRrFtm3b8PHxoUKFCjRs2JAtW7YwcuRISpUqRcmSJSlVqtTrC3qNevXqsWrVKvLly/fOZQkhhPgw2VerAf9pcGuSkkiOiuT86OGc6N2Np3/fyKboPh6a1FTODR+MmWs+7KtUe+/3d3Z2wcXFldDQo3h61n0hffTo4Xh41OK337axa9cBmjZtgVb7b/rMmVMwNzena9ceAFyYOIakY0eJiopE+1zGyMh/54ivWbOS27dvsWjRMnbvPsC8eYsA9PK/TIUKFWnYsBHz5s3SndNqtUyePI5Wrb7E338QpqZmrFy5TJd+6tQJ5s8PpEkTb5o0SfvSoHv3TuzevfO/xQNQunQZnj59yu+/B1GmTDkALCwssbe35/ffg7C3d8DVNe0z1rlzZ1i1ajljxkxix4597Ny5HwsLS92z2NnZExUV+dzrEPHaZxRCCPHmMvR1dkhISFbHAUClSpk/z0wIIcSHxa5yNe5t34o6If6FNE1SEo8vXeB498441a3Pp917Y2ybJxui/PD9M1S9xoq1WX6vu3fv6PYet7CwIDo6CoChQ0fx5EkcZmZmqP4zZSEhIQFraxtMTEy4dOkCwcE7qfLsi4NNm37j7NnTLFq0TG90XxEHRwwMDFi/fg3Nm7fiyJGDXLp0kQoVKj0rMx4TE1MsLa2Ii3vMkiU/AXBqQG/yNWiIW6Omr3yO1q3b0apVY65du0LRosXYuHEDsbGxfP11Z5RKJT/8MJLvvutEnTr1cXcvyOrVQXojEZs29WHSpJkULZr+fHITE1OKFy/J2rW/8vXXnXXny5Ytz9q1v1KpUpXnXp94DAwMsLW1Ra1Ws3z5YhKe+zdVp059fvllKcWLlyQ5OYnfflv3ymeFzg8wAAAgAElEQVQTQgjxdjLUIM8tPdZ2dhkb0vUyDg5Wr88ksp3UU84ndZQ75NZ6sq3zOeeGJ788g1aLJiWZB7u28+TieZrsTL83MbfIifV0b/9+kqMiqb1wIU4uWf+FR+vWvbh5MwyNRoNKpWLhwjl8/fWXODiU0OX5p0GeN68FDg5WjB4dwOTJk5k5cwpVqlTBz8+XuLg4HBysOHgwhPv37+mtGt6wUCHauLsxf/48Ro4cyc8/L8DT0xMvLy/MzY1xcLCie/euDBw4kMaNvXB0dKRTp04cOrQfI2NDrKxMX6grAwMltrbmuvMODlY0a9aM1auXM2zYMH76aT4///wzrq55n6WXo0uXzsyYMZFVq1alW/effJIPNzeHF87/o0aNaixatAhPzxq66z08qvPbb+vw8KiuO+fn14Bjxw7Rrl0LzM3N+eabb3BxcdHFO2iQPz/++CNt2jTFwcGBxo0bExQUlCP/HjMqN8f+sZA6yh2knjKXQpuBcVZPnjxhxYoV/PXXXyQkJOilZcVK63Xr1mXhwoVvPIf84cOnaDSvHzaWHgcHK6KinrzVteL9kXrK+aSOcofcXk9HO7UjPuzvF84rjIwAMHPJh1PtujjVrI1V0dy7HklOrCdNaiohXjUxdXGl5uqg93LPihVL6fbSBjAwMODUqYvvVGbctStcmjKehLt3sa9WHVBgns+NvBUrc2F8APmbt+L2+jXYVapCsb4DuDB+NI//uohWrca2dFlKDBiCqaMj939dwsWff0ZpYIjCwABXHz+K9x/4jk+c82zcuIGQkN3Mnbsou0N5Kznx35LQJ3WUO2RnPSmVinfugM2JMtRD3q9fP9RqNV5eXpiYmGR1TEIIIcQrOVT3IP7WTVAoMDAxQavRYGhmRsqjR5QeHoCLl092h/jBOvJVKwA+/+X9DWF2dy+o6yFXKpW4uxd8p/I0qamcGzGEAi3bkP+LVkQdPsifY0dS8MsOAKTExKB6EkfNtZvQajWok5JxbehH2YDxaDVqLk4ez+XZ0yg/fgrl+vXj/vETOHv5vHbIem4SHR3N/ft3KV26LHfvpi0816JF6+wOSwghPjgZapCfPXuW48ePY/Ss50EIIYTITs71G/DwxHHyVqqM4+e1sC5eEqWhIaGd23NhfABWnxbD0r1Qdof5wYk6dpSkiHDKT5rxXldVDwxcqJtD7u5ekMDAhe9U3uNLF9CoVBRo2RaFQoFT7brcWv/vtm0oFXzSsStKY2MADExMcXpu4bhPvurISf9e7xRDTqdSpTJ16gQePLiPpaUV9eo14IsvWmV3WEII8cHJ0LtpxYoVuXHjBsWLF8/SYMaNG8fu3buJjo6mU6dO2Nrasm3btiy9pxBCiNzH6pMiVPtp+Qvnqy1eyZ461Qn95ks8N+3E2NY2G6L7MGlSUzn7wwBMnZxxqFbjvd7bzS0/QUGZ93kgOToaU3sHve3NTJ/b3szYNg8Gz40IVCclcWXeLB7+cYzUJ3Fp5xIS0D43jP5D4+zswi/vcRSEEEJ8rDLUIJ80aRJdu3alXLly2NnZ6aX17t0704IZMWIEI0aMyLTyhHjfdu/eydq1q7h9+ybm5uYUKVKMr7/uTLly5bM7tAwLDw+nQ4cXe0FSUlIoV64CgYEL2bFjK+vXr+Hu3TtYWFjg5eVNt269dHvnPnhwn+nTJ3Hhwp8YGxtTu3Zd+vb9XpcuRFZRKBTUDznCnnqfc6CZD/V2H9T1cop3c+TrNgB8vnJ9Nkfy7ozt7EiKjkKr1eoa5UmR4Zi7pr+I7a11v5Jw+xZV5i/GxM6OJ9eucqzr1/9udyb73gshhHhLGfp0PHPmTMLDw3Fzc+Pp06e68wp5AxJCZ82alaxcuZxBg4ZSpUp1jIyMOHbsKIcPH8jWBrlWq0Wr1ept7fMqzs7OBAcf0jt348Z1unfvTIcOnQBISkqiX7/vKVmyNLGxjxgyZABWVivp0KEjANOnTyJPnrxs3ryTp0+f4O/fi40bN9CqVdtMfTYh0qMwMKDO9r3s861LSINa1N8XKu9X7yj6+FGSHtyn/MTpKD+A6Wu2pcqgNDDgzm/rcGvWgqijh4j76xJ5y1dMN78qIR6liQmGlpakxj3mxvLFeunGefKS+OD++whdCCHEByZDDfJt27axa9cuHB0dszoeIXKlp0+fsnjx/xg69Ec8n5tn6OFRCw+PWgBcunSB2bOnc+tWGCYmJnh61qVPnwG6tRk8PCoxYMAQ1q37lYcPH9K69Zf4+jZmzJiRhIX9TdWq1Rk1aixGRkbExcUxbtwoLl26gEqlpmzZcgwcOBRHRycAevfuRpky5Th79hRXrlxhxYo1mJqaMnXqBM6fP4e1tTXt239DkyZfvPbZ4uOfMnz4YNq3/5rKlasC8MUXLXXpDg6ONGjgw+nTp3TnHjy4T4sWrTExMcHExISqVWsQFnbj3V9oITLI0Nycmus2c6h1U/Y3bkCdrcHZHVKupVGpODNkACaOTjhU/zy7w8kUSiMjyo6ZxF/TJnJ98f+wr1Ydx1q1X5q/QMu2XBg7igNNfTCxt8e9dTuiDh94Lr0NFyeO4e7mIFwa+FC87/fv4SmEEEJ8CDLUIM+fP78MNRXiFS5cOE9KSgq1XvGBTqk0oE+fARQvXoKoqEgGDuzLxo3rad26nS7P8eNHWbz4FyIiIujS5SsuXDjPqFFjsbGxpXv3TuzZs4uGDRuh1WqeNdYnodGomTBhDDNnTmHixOm6snbt2s60aYEUKOAOQP/+PSlY8BM2bdrB7ds38ffvhatrPipVqvLKZ5swYTRubm58802Xl+Y5d+4MhQp9ojtu1aote/bspkKFSjx5EsexY0f49tser3sZhchUpo5OVFmwmD96dOH0YH8+mzIzu0PKlY4+G6rusWpDNkeSuWyKl6DazyvSTau1YYvesam9A5VmL9A75/bcF5q2pcp8EEP5hRDifevduxve3r40btws08seNWoUTk5O9Or16kU479+/j5+fHydPnsTAwCDT43idDI1hbdq0KT179mTr1q2Ehobq/QghIC7uMTY2tq/84qp48RKULl0GQ0NDXFxcadq0OWfOnNbL0779N1hYWPLJJ4UpVKgwlStXJV8+NywtLalatQZXr14BwMbGltq162Fqaoq5uQXffNP5hbJ8fRvzySeFMTQ05OHDaM6fP0vPnn0wMTGhaNFiNGrUjF27tr/yuVavXsmVK5cZNWrsS4f8btv2O5cv/8WXz7YLAihfviJhYX/j7e3JF1/4Urx4yVd+WSFyjkNtmvHw5B/ZHUamsSlRijKjxvLwj1Cu/fxuK3N/jKKPh5J4/x7lJ0z9IIaqCyGEeLWWLRtz4sRxvXPbt2+hR4+Xd8xkF61Wy4oVK2jUqBHly5enVq1a9O3blytX0j4vjxkz5rWNcQBXV1fOnDmTLY1xyGAP+apVqwCYMWOG3nmFQkFISEjmRyVELmNtbcPjx7GoVKqXNspv377F3LkzuXz5L5KSklCrVRQrVkIvT968/y6aaGJi8sJxTMxDIG0Od2DgdI4fD+XJkycAJCTEo1ardf+Z/DN8HdL2k7W2tsbc3EJ3ztnZmcuXL730mc6dO8uSJf9jzpz/YW1tk26egwf3s3DhXGbNmo/ts9WsNRoNAwb0pmnT5ixcuITExAQmThzDggWB9OzZ76X3EyKrONf14umtm4QtX4yle0HZozyD0oaq+2Ni74BDjZrZHY4QQgihZ/z48ezfv5+xY8dSsWJF1Go1wcHBHDhwgGLFimV3eBmWoQb53r17szoOIXK10qXLYmxszKFD+6lTp366eaZPn0TRosUICBiPubkF69b9yr59b/eF1po1K7l9+xaLFi3Dzs6ea9eu0KlT+39X/EV/0UV7e3vi4uJISIjXNcojIiJwcEh/XYiYmIf8+ONQevXqR/HiJdPNc+zYUaZMGceUKbMoXLiI7nxsbCyRkRG0aNEGY2NjjI2N8fVtwk8/zZcGucg2RTp15cnVK1wYH4CZiyu2pctmd0g5XmjHLwHwWB2UzZEIIYTISW7eDGPatIlcv34Ve3tHunfvhYeHJwDjxwdgampGePh9zp49Q8GChQgIGE++fG4AnDhxjJkzp/LwYTTe3r565d67d5fJk8dx/fo1FAqoUqU6AwYMwcrKKp0YbrJq1SrWrl1L2bL/vqc3adJE9/sPP/yAk5MT/v7+NGzYkMGDB1OnTh0AVCoVn3/+OUuWLMHGxoZ69epx8eJFDA0NiY2NZfLkyRw6dIjk5GQqV67M/PnzM/11/EfGll1+FvSJEyfYunUrJ0+eRKVSZVlQQuQWd+/eoXlzPzw9q2JgYMC0aRM5eHA/SUlJqFQqQkOPMH/+bCCtB9vCwgIzM3Nu3brJxo1vPx8zISEeExNTLC2tiIt7zJIlP70yv5OTM6VLl2XhwrkkJydz/fo1tm7dTIMGL/YUqtVqAgKGU7FiJZo1a5lOaXDq1AnGjBnJuHFTKFmytF5a3rx5cXHJx8aNG1CpVDx58oQdO7ZSpMinb/284v16cv0aoZ3bs8+vHudHD0ednEzMmVMcbNmYsJXL2N/Em0NtmvEgeGd2h/pGKkychnGevJzo3U1WxH6NhyeOk3D3DuXGT8nxQ9Xjb9/i71+WcvTrtkT/cSy7wxFCiA9aamoqQ4b4U6VKNbZsCcbffxCjR4/k9u2bujx79uyiU6eu7NixFze3/CxaNA9I67QZPnwIXbv2YNu2EPLlc+PPP8/prtNqtXTo0JFNm3awcuUGIiMjWLJkUbpxhIaG4uzsrNcYfxU/Pz+2bt2qOz58+DB58uShVKlSL+QdPHgwiYmJbNu2jaNHj9KxY8cM3eNtZaiH/MaNG/To0YOkpCRcXFx48OABJiYmLFy4kMKFC2dpgELkZH37dufmzTA0Gg2RkZE4OzuzfPlixowZgbm5BcWKFefrrzsD0KtXf6ZMGc+vv66gaNFi1KvXgFOnTrzVfVu3bkdAwHAaNaqPnZ0Dbdu259Ch/a+8JiBgPNOmTaRZs4ZYWVnRpUs3Kleu9kK+P/88x+nTJzExMeHgQf0ynZxcWLlyHcuW/Ux8/FMGDfq3x7ts2QpMnx4IwIQJU5g9ezqrVi3HwEBJhQqV6Nt3wFs9q3j/IvaHUGHKLAyMjTnRuxv3d27DooA7KTExpDyOpdaGLcReusCZHwZgXawEFs8WDswNagVtY0+d6hz+sjl1toVgaGHx+os+MhqVitOD+mGc1w7Hz2tldzgv0Gq1PLl+lYh9e3iwZzepj2PRpKZiYGqG5XOLSwohhHg7w4YN1JtPnZqayqefFgfg3LlzJCYm8tVXHVEqlVSsWJkaNTwIDt5Fly7fAeDpWUfXYdOggQ9z5qQtqhoaepiCBQvpRpO2bt2ONWtW6e7j5pYfN7f8ABgbG9OmTXuWLk2/QR4bG4uDg0OGn6lx48Y0a9aMxMREzMzM2LJlC40aNXohX2RkJAcPHuT48ePY2KRN2axS5dULIL+rDDXIR48eTevWrenSpYtuGOzixYsJCAjgl19+ydIAhcjJbt26iUajAdLmTkdERLB9e/pTPMqX/4xff/1N79y333bX/X748Em9tAUL9Pe57datp+53e3sH5s7V/w+qWbMWut//mwZpc8qnTJn1qsfRxfnfWP5rzpz/vTK9aNFi6cYgcocCzVthap/2Jmdfw4Mn16/pGt1FOn+H0tiYvOU/w6Ha50TsD+GTZ1865QYKhYJ6wYcI8arJPr961NtzGKXsIqIntFPazg8112zM5kj+pVWrib34J+EhwUTsD0GTnIwmNRWtOm20ntLEhPLjp2D6kmk4QgghMm7ChGm6rW4hbVG3LVs2AWkNVkdHJ5TKfwdaOzu7EB0dpTvWXwPJlMTERCBtTaPn1zhSKBR6x48exTBr1lTOnTtLQkICWq0GKyvrdGO0tbUlKioq3bT0uLu7U7hwYfbt20edOnXYu3cvmzZteiFfeHg4NjY2usb4+5ChIeuXL1+mU6dOenNSv/nmGy5fvpxlgQmRG7i7F9T9h6RUKnF3L5i9AQmRCYyfeyM1MDFFnZgAgKGVFQZmZro0UydnkqMz/maYUyiNjPDcvAuAkPoeemsvfOwenjxOwp3blBs7GaWxcbbGoklNJfqPY1yYMJp9jRtw5ocB3N2ykdTHsaiTEp9rjJtSqEMn8laomK3xCiFEbvXPFMyKFUsRGRmh17j+L0dHRyIjI3QdUgAREeHY27++t9re3p7IyAjdsVar1TteuHAuoGD58tXs3n2AkSPHvvQ9unr16oSHh/Pnn39m4AnTNGrUiK1btxISEkKRIkVwd39xhJ+zszOPHz8mLi4uw+W+qww1yB0dHfnjD/1tcE6ePImjo3wTLT5ugYELKViwEAYGBhQsWIjAQNlWSXy4VE+eoH72LTdAUmQ4Jhl4A86JjG1sqLFiLfDv4mUfO41KxemB/TDOkxfHmp7ZFsej82c5O2II+xrV53zAcB4E70SdEI86IQGe+wAIaV+u5ClXnkLtv8mmaIUQIvf7ZwqmWq1GpVIxb97LR1SWLVsWU1NTVq1agUql4vTpkxw5coj69b1fe5/q1T0IC/ubAwf2olKpWL9+jW4HIYCEhATMzc2xtLQiKiqS1atXvLSsggUL0q5dO77//nuOHz9OSkoKycnJbNu2jUWL0h+l6evry5EjR1i9enW6w9Uhrd1bq1YtRo8ezePHj0lNTeXEibebYppRGWqQ+/v707NnT/z9/Zk6dSr+/v706NEDf3//LA1OiJzOzS0/QUHbOHXqIkFB23TzXoT4UN1Y+hOa1FQenT9LVOgRnDzrZndIb82igDufTQsk/tZNLkwYnd3hZLtjXb4CoObaF4fwvU7Llo2pXbsasbGxeuc7dmyHh0clHrzBInrhIcFEHT6AJjkZdUI8vGIEg5GNLWV/HE9qaioTJ46hRYtGeHnVolOndoSGHtHLGxISTPv2LfHyqsVXX7XSWyNDq9Uyf34gvr718PWtx/z5s2XkhBDio/H8FExI24nnZYyNjZk0aQbHjx/Fz68eM2ZMZsSI0RkaJWpra8vYsZNYsGAufn71uHv3NmXKlNOld+rUlStXLuPjU5tBg/pTq9arP2OMGDGC9u3bM2bMGCpXrkz9+vUJDg7WraT+X46OjpQvX54zZ87g6+ubbh6AKVOmYGhoSMOGDalRowbLly9/7bO9C4U2g+84YWFh7Nix49m8AUcaNmxIoUKFsjS4N/Xw4VM0mrd7A3VwsCIq6kkmRyQym9RTzid1lDu8rJ4OtWlGyUHDsKuUtoDJjaU/kXDvLvn8mnBhfABuTZtze/0aDExNKfxtd1wbNHzfoWe6O5uDuDxzCkV79KFgm/bZHY6e9/Xv6eGpE5z+vg/lxk7CsWbtN76+ZcvGGBkZ0aJFa1q2bAvAjRvXGTFiMHfu3Gb9+t9xcXHNcHkxZ05xafZ0UsIfoE5KTDeP0sSUqguXYFnoExITE/n11xX4+jbGycmZ0NAjBAQMZ8WKNbi4uBIVFUmrVk2YOHE61arVIDT0CCNHDmHDhi3kyZOXTZt+Y+3aVcyevQCFQoG/fy9atmzz0p0mnif/5+UOUk85n9RR9mne3E+3SLFSqaRgwUIEBW1LN2921pNSqcDOzjJb7p2VXrmSjVarJT4+HktLSwoVKkTPnv8uKvX06VO0Wq3evHIhhBC52397Rwt36gqkNZAAPunQiU86dHrvcWWl/E2b8/TvG1xbMAeL/O441PDI7pDeK41Kxenv+2BkY/tWjfF/eHv7snPndl2DfMeOrfj4+PHTTwt0eVJSUli0aD579waTmppKrVq16dt3ACYmppw+fZKxY0fRokVr1q1bTen8+amTlMhljYYDQIxGgwXgq1TyqZk5JQf+oFtV3czMTLe6L8Dnn9fE1dWVK1f+wsXFlcjISCwtrahe/XMAatTwwMzMjHv37pInT1527txG27Zf6RYXatu2Pb//vilDDXIhhMjtAgMX0rdvd27duom7e0GZgvmevXLI+vLlywkICEg3bfTo0bLCuhBCiA9CCf9BWJcoxdlhA3ly41p2h/NeHfu2AwA1121+p3JKlSpDfPxT3TzEvXuD8fbWHxK4YMEc7ty5xbJlv7J27UaioqJYuvRnXXpMzENio6Po8TgWjwt/EuPiylYzM779qiOjnJzpbG5OHmNjXLy8cfHyeWksMTEPuXPnNoUKpW3NWrx4CQoWLMThwwdQq9UcPLgfIyNjChcuCkBY2A2KFPlUd32RIp8SFvb3O70eQgiRW8gUzOz1ygb5xo0b6d27d7ppvXv3JigoKEuCEkIIId63KvPTGobHunQg+blFZj5kMadPEn8zjLJjJmJgYvLO5aX1km/jxInjFCjgrrfqrlarZcuWjfTt+z3W1jaYm1vw9dedCAnZzXOZKLxxA4YKBR6LlnOrQkX8/Jrg060ntdZuonK/gZSp703xfgNfGoNKpWL06JH4+Pjp5jQaGBjg4+PL6NEjqFu3BqNHD2fQoGGYPds1IDExEUvLf4dBWlhYkpiYIPPIhRBCZLlXDlm/f/8+BQsWTDfN3d2de/fuZUVMQgghcpi8FSpSa8MWtFotp/x7oVWrsS1dFutixbEsXBRz13woDAyyO8x3olAoqB9yhD31Pudgcz/q7tqPgYlpdoeVZTQqFacG9MbI2hqnWukvgPOmfHz86NWrKw8e3MPHx08vLTb2EUlJSXR5tngcpDXSNRoNT/6+zqn+PTHXaCjYsg3F+w1EoVAQGRmhG2auNDTEza8Jbn5NXv5MGg1jx47EyMiQAQOG6M6fOHGc+fPnMGfO//j00+JcufIXP/wwgGnTAilatBhmZmbExz/V5Y+Pj8fMzFym5QkhhMhyr2yQGxgYEB0djb29/Qtp0dHRehvCCyGE+PApFAqc6tTn8qxpxP55DgNzc9Bo0ahUmLm6Yl2sBLalSmNVuCiWhYtgaG6R3SG/EYWBAXV37GNvwzrs9a5N/b1HUXyg73XHu6VtFVZz/Za3uv7u3Tu6OYcWFhZER0dRuXJVXFxcCQ09yg8/jNLLb2Nji4mJCb/8sg4Hh7RtU7VqNSf6fMexzmmNdBM7e0r0H6S7xtHRiXv37mYoHq1Wy6RJY4mJiWHatNkYGv77EefatauUK1eB4sVLAlCiRClKlizNiRN/ULRoMQoVKsz169coWbI0ANevX6XQs/npQgghRFZ65aeMqlWrsnjx4nTTli5dSrVq1bIkKCGEEDlX/qbNqRy4AENLKzRJyaiTEtGqUkm4fYvw4J1cnT+H00MGsL9xAw584cup7/twfelPRB4+SOKD+zl+GLCBmRk1N6Q1Uvd6Z99+3Fkp5swpnv59g7IBE956qPrL9q0dOnQUgYELdMPB/6FUKmnc+AsCA2fw6FEMEQf2ElS3BqcunKfUkBFUnDX/hS8/GjVqyvbtWzh58g80Gg1RUZHcunUz3XimTZvIzZthTJ48E5P/jGwoUaIk58+f4dq1KwBcvXqZc+fOUqRI2hxyHx9f1q5dRVRUJNHRUaxZswpf3/T3qBVCCCEy0yt7yPv370+bNm0ICwvD29sbBwcHoqKi2LVrF2fOnGHt2rXvK04hhBA5iG2ZclRfuorTA/uR+OA+mpRkXZomJRmeHac8iiHmVAwxZ05hYGqKOiGB4v0Hkb9Zi+wKPUNM7R2oumgZx7t15ES/HlSeveD1F+USGpWKU/69MLS0wqn22+8j/7J9a/Plc3vpNT169GHxonl0aNyABMDGyIgvv+uNa8NGhJ8++UL+kiVLM3Toj8yZM4P79++TN29eBgwY8sJ+t+HhD9i8OQhjY2OaNvXWnR80aBgNGjSkQoWKdO7cjREjhhATE4OtbR46dOhElSppHQtNm7bg/v17fP112grxjRs3pWnTnP03KoQQ4sPw2n3Ib9++zZw5cwgNDSU2NhZbW1uqV69O3759yZ8/Z63AJ/uQf/iknnI+qaPcIbPqSZ2czMWJY4g6dgRNUtIr8ypNTbEtXZayARMwsswd+4hGHNzH+VFDKdD6S4r17Pfe758V/55Cu3Tg6Y1r1N114J0WcnuTfWv/ce2nBdxctRyAKgsWY1Oi1FvfP6eQ//NyB6mnnE/qKHeQfcgz3yt7yAEKFCjA1KlT30csQgghchkDExPK/DiOW+t+5caSRWiSk1+a19XbN22xrlw0J9upVh0Kf9udGz8vxLJQYfI1zN3DmGPOnOLpjWuUDRj/zquqBwYupF27FqjVahwcHPX2re3YsR3Xr19l/frfcXFx5enNMEI7fglAPr+mlBj4Q6YsmJaSksL06ZM4efIP4uLicHNzo1u3XrqF4ABCQoJZsuR/REZG4uTkRLduvahVqzaQNu98wYI5bN2atuVbo0ZN6NGjry42rVbLhg1r+f33IB48uI+VlTWlSpWhU6euFC5c5J3jF0IIIV7bIBdCCCFeRaFQULBNe6yLFuPsiCGoExPg2eArhdIAhYEBmtQU7m4O4u7mIMqOnoCT59sPlX7fPvmqI0+uX+PS5HGYu+YjT7kK2R3SW9ENVbewwKl2vXcuz80tP46OThgZGdGiRWvdvrU3blwnOTlttIRWreZE3+7Enj8LQK3ftmJi9+JCsc9TqVR6C7K9ilqtxtHRiblzF+Hk5Exo6BFGjRrKihVrcHFxJSoqkrFjRzJx4nSqVatBaOgRRo4cwoYNW8iTJy+bNwdx6NB+li37FYVCgb9/L1xd89GsWUsAZs+extGjhxkyZARlypRDo9Fw8OA+jh49LA1yIYQQmSL3dFMIIYTI0fJ+Vonqi3/BzMUVpbExShMTzN3d+XzVerz2H6PyvLR9vs//OIzg2tX4c3wA6lf0qOck5QLGY+rkzMl+PUjI4KrfOc0fPToDUOs1w8rfVNre49t1xzt2bNVteXakfUtiz5+lSP9BXGnZli+7fkPjxg2YOnWCrtF++r+6qKsAACAASURBVPRJvvjCl5Url9GkiTcTJ44G4NCh/XTs2I4GDTxp3bopx44dfeHeZmZmdOnyHS4uriiVSj7/vCaurq5cufIXAJGRkVhaWlG9+ucoFApq1PDAzMxMt3L7zp3baNv2KxwdnXBwcKRt2/Zs374VgDt3bhMUtJ6AgPFUrFgZY2NjTE1NadCgIR06dMzU11AIIcTHSxrkQqSjZcvG1K37OV5etfDxqU337p3ZtGmD3gJGb2v8+AAWLZqfCVH+a926X2nVqikNGnjStKkPgYHTUalU/8mzmlatmlC/vgft27fk9u1burTdu3fSokUj6tf3YOjQ74mLe5yp8YmPh5mLK9UXr8TBoxYuDXyp9r9lmDo6AWBbqjRe+49RZ3sI9jU8CA/eyV5vT0K8PXny9/Vsjvz1PNZsBNIamalPctc8x5izp3ly7SplRo3N9L3VS5UqQ3z8U92K6yF7dmG+ZBEAJo5O1Nt9kN9v3eTOnVssW/Yra9duJCoqiqVLf/43vpiHxMXFsWHDFgYPHs6lSxcYN+5HevXqy86d+5g37ydcXFxf/5wxD7lz5/b/2bvr8CiON4Dj35MokYvjBEgorsEDEQgECcGlFIq7u0OgWHAoUqwt0lKguAcJVvhhwR2CEyNGPCe/Pw6uhCiQEKDzeZ48ZHdnd2dvudy9OzPvULRocQBKliyFvX1RTp06jkql4sQJf/T09CleXJtdPTDwAQ4OJXT7OziUIDDwIQAXL57DxsZWNxWaIAiCIOQE0WVdENIxe/Z8qlatTkxMDJcvX2TRonncvHmDceMm52q90urOWbt2XRo18sLU1JTo6CgmTBjN1q2baN9eO7fv7t072Lt3J76+C7G3L8qLF88xNTUF4OHDB8yZM4M5cxZSokRJfH2nM2/eLHx8Zn72axO+DTIjI8pP+ind7XLjPFSaMReNRsOL/Xu46TtdNw91if6DKdy6fbaML85uEomEeodPcaS+M/5eHtQ7fAppFrtW5yaNSsXFIf2QGRuT190jR86hbSXfi21oMKavwjB7kyeg6uIVSPT02L17O7//vgkzM3MAOnfuio/PBPr0GQBoX9vu3Xujr68PwJ49O2nSpBlVq2qzoL+dtzwjSqUSH5+JeHo20WVhl8lkeHo2xsdnAklJScjlcqZNm62bki0+Ph6TdxIM5sljQnx8HBqNhqioKKwy6V4vCIIgCJ8q3W8SW7duzdIBWrdunW2VEYQvkYmJCc7OLlhaWtG7d1fat+9IsWIODBjQi4YNG+Pl1RyAfft2s3v3DpYvX4NGo2HJkvkcOnSA5OQk8ubNx+TJP3Ht2lUOHdqPRCJhy5Y/qVTJCV/fBYSFhbJggS9XrgRgZGRM27bf06aNdvqdNWt+ITDwAfr6Bpw6dYKBA4fqzvnWu9MMaTQaJBIpz55pu2Sq1Wp+/XUV48ZNpmjRYqnK+/kdoHbtOlSsWBmAnj370rFja+LiYjE2zpNzL6zwnyeRSCjQ2IsCjb2Ie/aUC0P6cXfpIu4uXYR52fJUnD4HfXPz3K5mClK5HNfdfvh7eXCkvjP1j535Ih8evOt/fbsD4LJ9XyYlP17dchUYOLgvBSUS6paviPvCZUxzqwlAZGQECQkJdO/+g668RqNJ0eNIobDA4J0kcyEhwSkSs2VGrVYzbdpE9PTkDBs2Wrf+/Pn/sWzZEpYs+YUSJUpy584txowZxty5i3F0/A4jIyNiY2N05WNjYzEyMkYikWBubs6rV2Ef9XoIgiAIQlalG5Dv3Lkz050lEokIyIX/jNKly2JjY8uVK5cpVizjZD7nzp3l8uUA/vxzGyYmJjx+/AgTE1O8vVty/fpVbGxs6dWrH6D9Ijlq1FDq1HFhypQZhIQEM2RIfwoXLkL16tovtCdPHmfatNlMmOBDcnJSmuc8dOgAc+fOJC4uFoVCwYABQwDtGMqQkGAePnzAjBk+b1qMmtC1a0+kUimBgQ8oW7a87jgFChRET0+PJ0+eULJkqex46QQhU8YFC1F3627USiV3ly3i6bYtHH8zn3TluYuxcqqWyzX8l56pKbU3bOH0D2041aEldd50Zf8SRVy9zOu7tyk3Mfu6qj979pRBg/rw+PEj8uTJw/nFc3F8+hQFEGhoyMK5i1M8pDA3V2BgYMD69ZvTbel+/6GGra2dbpx3ZjQaDbNmTSM8PJy5cxel6EF0795dKlSoRMmSpQEoVaoMpUuX5fz5czg6fkfRosW5f/+erlv6/ft3dQ8uq1Spxvz5vty+fVO3vyAIgiBkt3QD8vXr13/OegjCV8Ha2iZL46vlcjlxcXE8fvyI0qXLYG9fNN2yt27dJDIygq5dewLagLhZs+YcOXJIF5CXLVteN02PQTpfqhs08KRBA0+ePn3CgQN7sbS0BCA0NBiA8+fP8vvvm4iJec3QoQOwsbGlWbMWqbpsgrbbZlxcbKbXKQjZTSqXU3LQcEoOGs6r8//j0sjBXBoxCIBCrdpSou+gL6KbuHHBQjgtWs6FwX256jOe8pOn53aVUtGoVFwY1AepgSF562VfV/VBg/ro5h9XKpVsu3WLXyf64OtUndevozEyMkqRw0IqleLl1YLFi+czbNgoLCwsCQ0N4eHDB7q/ce9r2tSbYcMGUKtWHSpXduLVqzDi4uJ0XdHfNXfuTB49CmThwmWp/j6WKlWajRt/4969Ozg6fsfdu7e5cuUyLVq0AcDTszF//bVRl/Rt06aNtG7dFoBChQrTokVrpkwZz6hR43VZ1k+e9Ofly5cisZsgCIKQLT74W41Go0HzZjob0H7QCsJ/RVhYqG4MZEaqVKlKq1ZtmT9/NiEhQdSp48aAAYPJk8ckVdmgoJe8ehWGp6erbp1KpaZChYq6Zds3SbGyolChwhQtWox582YzY8YcXTfQ77/vjKmpKaam2pb6M2dO06xZizddNlMG37Gxoru6kPusqlbHw/8sSZGRXJ4wiqd/b+bp35sxsLHFaeEyjN8ZepEbLCpUovToCdyc/ROBDiUo2vHHXK3P+8711z7kc915IFuP+zYYfysSCYW8W2W4T9++A/ntt9X06tWVqKhIbGxsaN68dboBeenSZRk7djJLlsznxYsXWFpaMmzY6FQBeVDQS3bu3Ia+vj7eb3pUAIwcOY4GDRpRqVIVunXrxYQJowkPD0ehsKBTp65Uq6Ydm+7t3YoXL57TubN2iJCXlzfe71zLkCEj2bJlE/Pn+/Ly5XNMTc0oX74iXbr0+KDXTBAEQRDSk6WAPDg4mKlTp3LhwgWio6NTbLt161aOVEwQPrf3u2GGhYWm2H7r1g1CQ0MoX14bKBsZGZGQkKDb/urVqxTl27RpT5s27YmICGfixDH88cd6evbsm6prpp2dHfny5WdTBt1eP3SMqkql0nX3LFzYHj09vXSP8bbL5lvPnz8jOTmJwoULf9A5BSGn6CsUVPt5JRqNhseb/+De8iWc7qgdLlVm9ATyeTbJtXHcBRo1Jebhfe6vWo5xocLY1XXLlXq8L+LqZaJv36TsBB9khtmXVf3h+l+xAUIADZCQkJBmDyC5XM6pUxd0ywYGBvTu3Z/evfunKlu5shPb0xjf7uLihotLxq9n3rz5UpwnLa1ataNVq3ZpbpNIJPTrN5h+/Qanu71t2w60bdshw3MIgiAIwsfKUvP25MmT0dPT47fffsPY2Jjt27fj7u6Oj49PTtdPED6bt90wVSoVSqWSpUsXAhAbG8Pp0yeZPFnb4lK8uHb8uINDCY4fP0pCQgLPnj1l795/8y7cunWDGzeuo1QqMTQ0Ql/fQNebxMLCkhcvnuvKlipVBmPjPGzY8BuJiQmoVCoePrzPrVs3slz33bt3EBERDkBg4EPWr/8NJ6eqABgaGuLu7sEff6wjLi6WkJBgdu/eTu3azgB4eHhy+vRJrlwJID4+njVrfsHFxU20kAtfHIlEgn27jnj4n6XG6vVIDQy4MfsnDrvVJGDcCJS5NMziu/5DUFSoxNVJY4m+eztX6vAuXVd1fX3y1W+Y+Q5ZEPfsKX6uNXiw5hdGeXhStFhxZDIZ9vZFWbx4RbacQxAEQRD+i7LUQh4QEMCxY8cwNtZmHi1ZsiTTp0+nffv2tG3bNqfrKAifxePHj1J0w4yIiMDDoy5SqQR7+2K0a9eR5s3/7crYrl1Hbt++iZdXAxwcHPDw8OTChXOAtsu3tqvlc/T19alWrSYdOnQCtGMjJ04cg6enK5UqVWHmzHn4+i5gyZIFtGnjTVJSEoULF6Fnz75Zrvu1a1dYuXIZ8fFxKBQWuLnVp0ePPrrtw4aNwtd3Ot7ejTA1NcXLqzlNmngDUKxYcUaMGIuPzwSio6NwcqqW61O7CUJmTB0cqXfwOKrEBG7OmUnQ4YMca1wPgGrLVmP+meeOrrpoOUc86vC/Xl2os3U3htY2n/X87zo3oBcArrsOffKxNGo1AWOH8+p/ZwCos3knhrZ21PvkIwuCIAiCACDRvDsgPB01a9bk+PHj6Ovr4+7uztatWzExMaF69eoEBAR8jnpmyatXMajVmV5OmmxsTAkNfZ3NNRKyW07ep5Ytm+jGRkqlUuzti7Jt294cOde3TLyXvg7f4n0K9j/C1SnjdcvFfuxOsR+7I/lMuU40ajWH3WsB4H7AP1u6in/ofYq8doXzA3tTdvwU8nl4ftK5w86dJWCUdraG7wYNo3BL8QA+Ld/ie+lbJO7Tl0/co69Dbt4nqVSClVXqfExfuyx9S6lQoQLHjx8HwNnZmSFDhjBgwADKlv28LRCCkJMWL16BvX1R0Q1TEL5Sdq718PA/S53NuzAubM/D39dw2L0WZ7p2JPEzzCctkUpxP+gPwFFPVzTv9Lj5HDQqFecH9kaip/dJwbgyLo6jjdwIGDUEfQtL3A/6i2BcEARBEHJIllrIo6OjUavVKBQKEhISWLNmDXFxcfz444/Y2qY9p2huEC3k3z5xn7584h59Hf4L90mjUvHgt9UErv9Vt67CtNnY1nHJ0fMmhr/iRMsmAHj4n/2kY33IfTrXvydRN659Uuv8oz/Xc++XpQBUWbAUy0pVPuo4/yX/hffSt0Dcpy+fuEdfB9FCnv2yFJB/LURA/u0T9+nLJ+7R1+G/dp/eduV+K59nE0oNHYXszbSA2e31g3uc7d4Js1JlqL58zUcfJ6v3KfL6Vc4P6EWZcZPJ36DRB58n7sVzTn+vzZFhW9eN8j4zci1z/dfmv/Ze+lqJ+/TlE/fo6yAC8uyXpS7rSUlJLFq0iAYNGlCxYkUaNGjAwoULSUxMzOn6CYIgCMInU5SrgIf/Wdz2HsGqWk1eHtjL0YYuHG3sTkzgw2w/n2lxRyrOmEv0rRvcWjAn24//Lo1KxfkBvZDIZB8cjGvUai6PG6kLxp3/3EaFqTNFMC4IgiAIn0mWsqxPmTKFwMBAxo8fT4ECBXj+/DkrV64kODiYmTNn5nQdBUEQBCFbyPPkobLvAjQaDc/37uTW3Fmc6fo9AN8NHEqhlm2zLRi1qeWMY9+B3Fu+BJNixSnk3TJbjvu+84O1MzK47Tn8Qfu9unieS8MHAlCi3yCKtP0+2+smCIIgCELGshSQHzlyBD8/P8zMzABwcHCgQoUKNGjQIEcrJwiCIAg5QSKRULBpcwo2bU7ssydcGNiHO0sWcGfJAhQVKlFx2iz0zMw/+Tz27ToSc/8etxf4YlywEFZVqmZD7f8VeeMaUdevUmbsJGRGRlnaR5WQwIk2Xihfv0ZuakbdzTuzvK8gfMv27dvN7t07WP4Jw0wEQRA+VJa6rFtbWxMfH59iXWJiIjY2uTfPqiAIgiBkhzwFC+OyfR/1/E5S0LslkVcC8G/WED/XGoRfuvDJxy87fgrGhQpzafhAYp88zoYaa2nUas737wlSKfkbNs7SPo83/8FRT1eUr19Tee5i3HYfEsG48M0YNmwAq1enniHl5El/ateujVKpzIVawZEjfvTp04169WozYECvdMvt378HZ2cndu/ekWJdt24/0KCBCy1aNGbZskUprqN1ay/c3Wvj4VFH9zN//uwcvR5BELJXllrIvb296dGjB506dcLOzo6goCA2btyIt7c3Z86c0ZWrWbNmjlVUEARBEHKSVE+PUkNHUWroKML+d4aA0UO5OGwAAIXbtMex9wCk8ix9bKZSa91fHHaryT+d2+G662C2tL5fGNIPAPe9RzItGx/0klPtWwBgU6sOFX6a/dnmZxeEz6VRo6asXLmM7t17pxh6cvDgPry8vJB/5Pv3U5mZmdGmTQeePHnExYvn0ywTHR3N+vW/UrRosRTrExISGDx4OKVLlyUyMoLRo4dharqBTp266MrMnj2fqlWr5+QlCIKQg7L0l2nTpk0ArFixItX6t9skEglHjmT+pUAQBEEQvnTW1Wvi4X+WpMgILo8dwZMtm3iyZROGdnlxWrgMo3z5P+h4EomEeodPcaS+M/7NGlLP7yRSPb2Prl/UzetEXr1MmdETMmzh1mg0XJ0ynpDjRwGo/cffGOcv8NHnFYQvWd26rsydO5MrVwKoWLEyoA10//nnFEOHDgYgJiaGBQt8+d///sHAwBAvr+Z07twN6XsPqObMmYGRkTEDBgzRrRszZhgVK1amffsfePQokLlzZ3L//l2srW3p06c/zs5pT6n4Nlh+t+X7fb/88jOtW7fn6FG/FOtbtGit+93GxpYGDTy5dOniB7wqgiB86bL0ePzo0aOZ/ohgXBAE4dsSHnCRE629crsauUpfYUG15Wuof+wMjn0GkBAcxKkOLfFzrcGLQ/v5kJlDpXI5bm9as4941Pmgfd+lUas5168HAPkbNU23XHjARQ671STk+FEce/fHw/+sCMaFb5qBgSHu7h4cOLBXt+7oUT8KF7anZMmSACxY4EtsbAybN+/k559XcuDAPvbt25XqWB4enhw96qd7n0ZHR3Pu3P+oX78hSqWS0aOHUq1aDXbv9mPo0JH4+EzkyZNHH1Xvmzevc/v2LZo3b5Vp2StXAlK1oguC8HUT/dUEQRAEIRMSiQT79j/g4X+WGqvWIdHT48YMHw671eTyxNGo3suzkh55njw4/7kNgBMtm3xUXd52o3fbdzTN7arEBI63aMzFof2RGRnhtu8o9h06fdS5hA93sl1zHm3awJluHTni6coN3+kkhr/i0qghHG3kzsVhA0h+HU38yxf4udbg2e4dHG/VlOMtm/Dor42646gSE7g+cyrHmnrwT+d2PPpz/X/+AVlWeHo25dixwyQmJgBw8OBeGjXSvtdUKhVHj/rRu/cAjI3zkC9fftq378iBA/tSHadChUqANgAG8Pc/Qtmy5bC2tuHGjWvEx8fzww9d0NPTo0qVqtSq5Yyf38EPrq9KpWLevNkMHToyVSv9+/bu3cXt27fo8N77edy4EXh6uup+du3a/sH1EAQh96TbZb1Ro0bs378fABcXl3SngfH398+RigmCIAjCl8jUsQT1/U6iSkjghu90go/6cbSRGwDVVqzFvGTpDPc3ypefqj+v5PyAXgSMG0mlGVmfpzzq1g0iLl+i9OgJyI2NU21/sm0zdxbPB6DS7AVYVxe5XXJDyPFjVJ67GI1KxdmeP/L63h1KjxqPSZGiXBo9lCd/b9Yl4gsPuIjzhi3EvXzOxaEDMC3uiJVTNR7+tob4oJc4//k3qvgEAsYMzeWr+jpUqFARhcKCkyePU6pUGW7dusn06dr3WFRUJMnJyeTNm09XPm/efISFhaY6jkQioX79Bhw+fJCKFSvj53eAhg0bARAWFoqtrV2KADq942Rm+/YtFC/uQNmy5TMsd+KEPytW/MzChctQKBQpts2YMVeMIReEr1i6Afm0adN0v8+Zk/UvC4IgCMKXKSEkmDtL5hNx9QoSNNi6uBN07AhOi5ZhWswBgKSIcE62a0GdzemPdRS0ZIaGlJ80DSZNI+iIH9emTeRcn24AFO/Wi6I/dEk3cZqibHnKjp/C9elTuP/rKhy69sz0fBq1mnN9uwNQ4L2u6gkhwZxs6w2AVfWaVJo5TyRty0WFWrbBwNIKAIvyFdBXWGDm+B0AtnVcCL94Ad4E5MV/7I7MyAjTYg7kb9SEoKN+WDlVI9j/CCWHjkLP1Aw9UzMKtWzLw99W59o1fcmePXvKoEF9ePz4EUWK2OPi4saBA3t58uQx1arVwPLNvTA3VyCXywkKeqnr9h0cHIS1ddqzBtWv35Bhwwbwww9duHnzOjNmzAXA2tqGkJBg1Gq1LigPDg6iUKHCH1z3ixfPExBwibNn/wEgOjqKe/fucO/eHYYNGw3A2bP/4Ov7E76+Cyle3OGDzyEIwpct3YDcyclJ93u1atU+S2UEQRCEnKFRqQgYOxzLSk7U2TQFGztzHpw6BxIJQX4HMO2t7QYddMQPyypO6CsscrnGX5e89TzIW8+D+OAgLg0fyIO1K3mwdiUmxR2p7LsQAyurVPvk8/Ak5lEggb+vwaSIPXndPTI8x8XhA4GUXdU1Gg3Xf5pM0JFDANTasJk8BT88KPiWaTQawi+cQ9/CEuMCBT/LNG/6Fpa636X6BqmWVfFxumVDWzvd70Z2+Yh5+ACAxLCwFNve/V1IadCgPjx6FIharebRo0BUKhVRUZE8eHCfgQOH6crJZDLc3T1YuXIZEyf6EB0dzV9/bUzVBfytEiVKolBYMGvWNKpVq4mpqSkApUuXxdDQkI0b19Ghww9cvXqZ06dPsnr1ujSPo1KpUCqVqFRKNBoNiYmJyGQy5HI548ZNISkpUVd2/PhRuLq607Rpc0AbsE+dOpEZM+ZQunTZ7HrJBEH4gmQpy/qAAQPo0qVLiiD9woULrFu3jsWLF+dY5QRBEITsEXX7JolhYTj20U7dJTMwwKJ8RaRyOVcmj8OhZz8kUikvDu3HvsMPuV3dr5aRXV5qb9iCRqXi/ppfePTHOk600o5frThjDja16qQo79izL6/v3uba1IkY5cuPeakyaR436vZNIgIuUnrkOF1X9Yirl7kwqA8Axbv3plinrjl4ZV+vmAf3CRgzDKmBAerERGRGxhjly08e+6KYOjiSp1BhjAsUwih/gU/KfP+xEkKCyVPE/s3vQRi8aa3Vt7IiMTQEE/uiunJC2h4/foRarQZArVbz7NlTataszf3793B2rpui7JAhI1m4cA5t23qjr2+Al1dzmjRplu6x69dvyOrVK5g6dZZunZ6eHrNmzWf+/Nls2PArNja2TJjgQ5E39/F9Bw/uY8YMH91yvXq1adSoKePHT3kT5JvqtsnlcvLkMcHExASA335bTWxsDCNHDtaVKV++EvPm/fv9e/ToYchk//aIcXKqzsyZczN4xQRB+JJkKSA/f/48ixYtSrGuYsWK9O/fP0cqJQiCIGSvhJBgDO3ypppH27x0WWSGRkRcCcDA0or4589SBY3vS46OIuZRILGPAom+d4fXd2+T+OoVVRYsJc9HdNn8FklkMhx79cOxVz9d4Hx53EgA8jf2otSQkUj19QGoPGcRx5rU41zf7jj/tQMju7wpjqVRq3Vd4Qs0aYYqMZHTHVuTGBaKRE8P150HkBvn+bwX+BUxsLZGIpWhitO2SitjXvP63h1e37tD8LHDSPUNQKNGnZiE3MwM4/wFMCnugEnR4tpgvWAhDG3tkMhkOVK/h+vXUnrEOOJfvuD5/r2UGz8FgLxu9Qjc+DtmJUuhSkjg6fatOXL+b0GRIva6FnKpVEqRIvb8/PPKNMuamZkxadK0NLc1buxF48YpE+d16dKDLl16pCpbrFjxdM+RleOm5/1jLlnyS4blt27dnaXjCoLw5cpSQK6vr098fLzuaR1AXFwccnmWdhcEQRBymaGtHQkhwaiVylRBeX7Pxrz0O4CBpSW2Lm7IDAwAUMbGok5O5unObby+d4fou7eJe/4MdWIiUgMDNEoV6jeZjGVGRiRHR3326/oaWJSviIf/WZJjYrg6ZRwv9u3mxb7dyE1NqfrzSkyKFMV1tx+H3Wtxql1z3PYdTZGw7dKbljG3fUd4uvNvbi/Q5nWpOHMeNjVr58o1fUnUSiWq+HiSo6NIiowkOSqSpKg3/0ZGkBwZiTo5Kc19NUolKqVSt5wcGUFUZARRN6+DRAJvprwq0v4HSvQZkCP1t6hQmVMdW4NajX2777F6k5yrWOfu3Jo/m1PtW2JgZUXe+g158c50XsK/Fi9ekWIM+eLFK3K7SoIgCFkm0WRhItSxY8eSmJjI1KlTMTExISYmhilTpiCXy5k1a1Zmu2dZYGAgY8aMITIyEoVCwezZs7G3t8/y/q9exaBWf9y8rjY2poSGvv6ofYXPR9ynL5+4R18mjUrF2V4/YlWlGsW79sTGzpyHp8+jKFeBhJAQznT7HiRSFGXLkRgWRtzzp6gSEkGjRqqvjzoxMcPjy4yNqb58ra7rrZA+jUbD8907uDV/tm5dySEjyN/Ii6MNXQCof+Q0EpkMafBjDrZrh0Pv/tz/ZSkAlpWdqDx38VeRtO3dYFkbKEeRHBnxTsD8Jnh+519lbEyu1Veir49UJkejUmLi4Ih1tZpYVKiEeakyyAwN09znY//mxb98wakOLal3+FSqh2Rpebrzb4KOHqbqouUffC5BfDZ9DcQ9+jrk5n2SSiVYWZlkXvArk6WAPCoqipEjR3Lq1CnMzc2Jioqibt26+Pr6YmZmlm2V6dy5M61atcLb25udO3fy999/s25d2gky0iIC8m+fuE9fPnGPvlzxwUHcWTyfyGuXkUql2Lp7UHLQcADO9ujM6wf3tC2CUim8GY+ZW6QGBsiMjJEZGiIzNEJuZITMyAipoSFyI2NkRkbIDI20242MkRlpy8mMjNLcT2ZoiFRPH4meHhKZLN2pPD+32CePOT+wF8lR2t4FivIViLx6BYB6R05zpF7KFvBa6/4iT+Ei2XJutVKJKiFBGyxHRmiD5TdBcnJUyuWkyAiSo6JQxnyG97ZEgr5C9VL4CgAAIABJREFUgZ659kffXKFb1jdXoKdIuSw3MUVmYJBhl/Jz/XpoW73fIzM0QqPRIJXLMC9TDqtqNbEoXwGTYg5ZCpIh5wLyxFdhxL94jnmZcsQ9e0rAmOEUatGaIm3af/C5BPHZ9DUQ9+jrIALy7JelTxtzc3NWrlxJaGgoL1++JF++fNjYpD1FxMd69eoVN2/e5NdffwWgadOmTJs2jfDwcCwtLTPZWxAEQciMkV1eKk73BVJ/oJo6lsCqRi0KNWtB1M0bRFwNICLgErFPHyPV00ejVmXaSl5txVrUSUmo4uNRJcRr/337e0ICyvg4VPEJqBPiUcbHo4qPQ5WQkLpsfDzqxETUiYkk5+grkr20DwTePiB474GBoeGbhwVG2gcKhv8+QCg1dDQSPTnP9+4i7J9TuuMdqe+s+92uXgOsq1Yn9MwpXhzY+yZAfts1O4qkyAiUrz/PFyQ9hcU7AbE5eubaZX1zBXrm5ugrLLRBs7kCuYkJMgPDHBt/nVXGBQsRdfM6MmNj1MnJ6JmZY1mxMlZO1VCUr4hR/gJfzEOat9TJydycN5v4oBfomZhi516fQs1b5Xa1BEEQhGyWpRbyt169ekVcXFyKdYUKFcqWily/fp3Ro0ezd++/46MaN27MnDlzKFMm7ayzgiAIwqeLef6c/a1a0WjrVkwKFkyxTZ2cTOT9+4RduULwuXOEBQSQGB6OzNAQZXw8GpUKAKmeHu0vX86N6meJRqNBo1SiTk5GlZSEMv7tQ4F4kuPiUMbF6dYp311Ob/272+K0Dxa+BAaWlhhaWGBgYYGBQoGBpaX29zc/hhYW2nUKBfpmZtqeA7kcLH8OYdeu8WjXLuyqVcOmcmUM05iGThAEQRByQ5ZayE+cOMH48eMJDQ1NsV4ikXDr1q0cqdjHEF3Wv33iPn35xD36Ory9T/fX/MKTLZuw79iZeANz4tO6d9YFsahXEIt62um7kl+/JvrOTSKvXyP80gVe37uDgY3tV3TfZSA3AVMTMAUpoP/mJzuplUpe379HRMAFwgMuEh5wEU1y1tr87VzroW9jw9Mtm6g0ez7W1WtlW71UQBwQF6eG9x6yf7Py2lOk1yAAXqvhdTb+XxV/874O4j59+cQ9+jqILuvZL0sB+dSpU+nXrx8tWrTAMJ2kJp8qX758BAcHo1KpkMlkqFQqQkJCyJcvX46cTxAEQQCH7r1x6N77g/bRMzXFyqk6Vk7VKd6lh7b1+U1L+X+JRq0m7ukTwgMuEB5wiYhLF0h+HZ3hPsaFCqOKiyPxVViK9XZu9SjepWeqpHjRly8SMHoYdbbswtDGNrsvQRAEQRCEXJalgDw6Opr27dvn6PgqKysrSpUqxZ49e/D29mbPnj2UKlVKjB8XBEH4wkkkEiTf4DSYGo2GhJBgIi5fIuJNC3dCcFCG+xgXLoJlZScsK1XBonxFkqKjeLB2FSHHjwIQ9/QJAOZly+PQow8WFSpl+NnaePt2/ixblpNtmmU5G7cgCIIgCF+PLH2yt2rVir///pvWrVvnaGWmTJnCmDFjWLZsGWZmZsyePTvznQRBEAThIyVFRmoT2F3SBtyxjwMzLG9ga4dlpSragLtiZQzt8qYIqBPDX/Fo4zquTh6XYj/DvPlw7NkPO1f3D0pwJpFIcNt3hGON63GkvjMe/mc/7AIFQRAEQfiiZSkgv3LlCuvXr2fVqlVYW1un2LZx48Zsq0zx4sXZsmVLth1PEARByNj1mVMxtLHFqloNbs6ZQe31m3O7StlKGRdL1I3rhF+6QPjli0Tfuplhebmp6ZuA2wmLSlXIU6hwhgG0KiGBpzu2cn/lcjTqf7vtS+RyHHr0pVDzVunOX51VcuM81Fi9nrM9OnFt2kTKTZz2SccTBEEQBOHLkaWAvE2bNrRp0yan6yIIgiDkEovyFb/KYFydlET03dvagDvgIhEBFzMsL5HL3wTblbGs7IRpcUekenpZPp9GpSLo2GHur1xGQkhwim2F27THvkMnDCyzP4O3qYMjJYeO4vYCX6xrOpOvfsNsP4cgCIIgCJ9flgLyFi1a5HQ9BEEQhK+URqUiMfxVjiQd06hUxDx6SPili4QHXCAi4CKq+PgM91GULY9FpSpYVnbCvFSZT2qh1mg0RFy+xP3Vy4m6cT3FNjvXehTvmjoRW04p5N2S0FPHuf7TZMy+K0WeQoU/y3kFQRC+RUFBQXTq1IYDB/yR/QemfxS+XOkG5Dt27KB58+YAbN26Nd0D5PS4ckEQBCH7RN+7w03f6cQ/f4ZV9ZqAdvxzeMBFrk+fQt2tuwEI/GMdT7dtQRkbi4G1NSWHjMSqSlUe/LqKmMCHSKRSQs+cQmZgiDopEVVSEjV/3YhJkaIfVB+NRkP8i+e61u3wgIskhb/KcB+T4o5YVtaO41aUq4CeqdlHvRbpiXkcmCIR21vmZcrh0LNvponYclIl34UcdqvJP53a4n7QH5lBzsx8IgiC8K1o3dqL8PBwZDKpbt2ff24jb968+PmdzNIxLl26wLRpk9i+fV+6ZcaPH4mZmYLRo8fr1o0dOxwbG1uGDRtNWFgYc+ZM5/btW7x6FcaWLbvIly9/usfTaDSsW7eWnTu3ERMTQ82atRg1ajx58nx7037916UbkO/du1cXkO/cuTPNMhKJRATkgiAIXwl1cjJXJoymcOt2VO7ZlZs79nFt2kTsO3RKUS72yWOebt9KtRVrMbS2If7lCzRqNRqNhsRXYYSc9EdmaAQSiXaaL40GpFKe7dhGycHDUxzr7T6RVy6/mR7sIvHPn2VYT6MCBbVJ0ypVwaJCJQysrHM0AH6biO3J33+lWG9olxeHXv3I61rvgxKx5SSJREK9Qyc40qAuRxu6Uv/YmVx7OCAIgvC1mD17PlWrVs/RcwwbNppOndrh4dGQypWdOHLkEHfv3mHim7wfUqmE6tVr0alTV/r06Zbp8Q4c2MvBg/tYvnwNpqZmTJ06gQUL5jBhgk+OXofw+aUbkK9atQrQfpmaMWMG+fLlQy6mWxEEQfhqRd28jlqppHDr9kj19LBzdefxlj9TlZNIpaiTk4l9FIi+wgJVYiIvD+3nxcG9JEVGgkaDKj4u5U5qNU+3byHi6mViHtzLsB76lla6gNuyYmWM8hdAIpVmuE92SjcRm0yGQ89+2ZKILSdJ9fWpvXErpzu25uKwATgtWJrbVRIEQfjqvHz5gjZtmuHvfxa5XM7evbv44491hISEoFBY0LFjZ5o3b0V8fDwjRgwmOTkJD486gLaF3draJsXxrKysGTBgCLNn/8SiRStYuHAu48dPwdjYGABLSytatmyDUqnMUv1Onz5B06be2NnlBaBjxx8ZPLgvI0aMxfAL/owSPlymEbZEIsHLy4tLly59jvoIgiAIOSQxLAxDa5sULaqGbz7o32VcsBBFv+/MTd/pJISGgESi/VGpUpV9X8yDe8iMjLCs7IRFRW238jz2RXN1/mxdIrZVy1PNI164dXvsv8+ZRGw5ybhAQcpN/olrPhN4sm0zhVu2ze0qCYIgfNUsLCzx9V1I/vwFuHz5EiNGDKJUqTJ8911J5s5dlGmXdYDGjb04fPgg3bt3pGZNZ2rUqPXR9dFoNGg0mhTLSUlJPH36BEfHEh99XOHLk6VvSKVKlSIwMJDixYvndH0EQRCEHKJvZUVCWGiKD/iEkCCM8xfQLT/5+y+e7thG3NPHSORybXf0d8pnxrx0WaotW52t9f5QmSViK9a1xwePdf8S5XWrT9j/znBn8XwUZctjVqJkbldJEIQs+ndcswyZTIq9fTE8PRvTrFlLpFnoMfR+6+7n9LaV+K3ExERatGjN0KGjSE5OxsdnPLdv3yIo6CWLF6+gcmUnXVmNRsPy5UvYs0c7HLZp02b07Tsox4fejBs3Qpe4rVKlKsycOS9VmVq1nHW/V6pUhWrVanDlSgDfffdhf1vLl6/IuXNnadiw0SfVuUaN2mzcuA53dw9MTc3YuPF3ABITEz7puMKXJ0vv4GrVqtGzZ09atGhB3rx5U7xpxBhyQRCEr4OiTDmkMhlP/96Mdc8uBJ84RvStm1hWrKIrE3XzBmjU6FlYolEpUSUkoElKAokEqb4+GpUKjVKJ1MAApFI0SUlo3mk5j7p1g/iXLzDKIFFNToh5HMjDX1cT7H8kxXrzMuVw6NEHi4qVv8mx1mXHTCTo8EH+16sLrnsOo2cikv0Iwtfi7bjmmJgYLl++yKJF87h58wbjxk3O7apl6N1EaPHx8TRr1gA3t/q6deXLV6RNm++ZNGl0qn137tzGyZP+/PbbH0gkEoYO7U/+/AVo3jxn44kZM+ZmOob8zJnT/PrrKp4+fYJGoyYhIYFixRw+6DxPnz5h06YNtGjRhp9/XsiaNRuy9MDkypUARowYBICdXT42bNhMkybNCAkJZuDA3qhUKtq378jp0yexyYEZTYTclaWA/NKlSxQoUIBz586lWC+SugmCIHw9pHp6lJ86i1tzZ/Jg7S9YVa+JbV3XFGXKTZzK6wf3uDlnJrGPHyEzMERR2YkS/YcgMzQkcMPvxD4ORKNWE337JvqWVtjWdUVmYEhSVCTqhAT0zMxz/Fq+pkRsOc39gD9H6jvj37S+SPImCF8hExMTnJ1dsLS0onfvrrRv35FixRz4559TrFq1jOfPn2NiYkKTJs3o3r03AP379wSgUSM3ABYsWIpCYcGsWdO4d+8OcrmcKlWqMXXqzDRb0wcM6EXDho3x8mrOvn272b17B2XKlGPPnp2YmpoybNhoatasnWnd/f2PoFBYUqFCJQD09PRo2/Z7AKTS1H+DDxzYS/v2P2BrawdA+/Yd2bVrR7YH5M+ePWXQoD48fvyIPHnyEBYWmmH5pKQkJkwYxYQJPtSp44pcLmfs2OG6HmVZ+buq0WiYPfsn2rTpQNeuPenbtzsbNvxGly49Mt23QoVKqTK+S6VSunfvrbvn586dxcbGVgTk36AsBeTr16/P6XoIgiAIn4F5yVLUWL0OGxtTQkNfp9j2dsoz0+KOVF+xNs399RUKlLE2lPvMWV61idj+5v6qZSla5LWJ2PpSyLsVMiOjz1qnL4VULqfu33s40aop/3RqR+0Nm3O7SoIgfITSpctiY2PLlSuXKVbMAUNDQyZMmErRosV4+PABQ4f2x9HxO+rWdWXp0lW0adOM/fuP6YLsyZPHUbVqdRYvXkFycjK3b9/K8rlv3rxOo0ZN2bv3MLt2bWfWrGns2LE/00B0//49eHo2zvKDwMDABzg4/Dv+2cGhBIGBD7Ncz6waNKgPjx4FolarUSqVLF26kEaNmqZbXqlMJjk5GYXCAplMxpkzpzl37ixFi2qH61paWhEVFUVMTAwm6fRE2r59K5GRkXTu3A2pVMqYMRPp3bsrbm71KVLEHtB271er1QAkJyeRmJiIgYFBmseLjo7i9evX5M9fgEePAlmyZD5duvTI0pAGIWfVrl2bRYsW4eTkxNy5c4mIiGD69OkffbwMA/L4+HiWL1/O3bt3KVOmDL1790ZfX/+jTyYIgiAIWfEtJmLLSQZW1lSeu4hLIwZzf+1KHLr1yu0qCYLwEaytbYiOjgJIMfbawcGR+vUbcvnyReq+17PpLblcTlBQEGFhodja2lGhQsUsnzdv3nw0a9YCgEaNmjJv3izCw19hZWWd7j5BQUFcvnyJMWMmZvk88fHxKQLaPHlMiI+PS5HbJDs8fvxIF/gCBAcHZ1je2DgPgwePYNKksSQnJ1G7dh2cnevqthcpYk/9+g1o29YbtVrFhg1bUmRZDw4OYuXKpcyduwQ9PT0AihYtRvv2HZk9+yeWLl2lnbay3r+9Dr7/Xtsr4NSpC2nWKTIyktGjhxISEoxCYUGbNu3x9m754S/GB3g3P0BCQgJ6evq6+dtHjhxHgwafNi4+Pc2aNWTatNkf9H/2ff7+/vzyyy/cvn0bQ0NDHB0d6d69Oy4uLtlY05yRYUA+depUrl+/Tp06dTh48CCRkZFMnJj1N50gCIIgZEVGidhsXdwp3q3nN5GILSdZOVXH/vtOBK5bi2UlbYZ7QRC+LmFhoZi9GfZz48Z1VqxYQmDgA5KTtS24bm710t23X79BrF69gp49f8TU1Iz27TvStKl3ls5r+c4DzrdTasXHx2e4z4EDeyhfviL530kMmhkjIyNiY2N0y7GxsRgZGWf7UJsiRex1LeQJCQnY26f+/MiXL3+KYLhVq7a0apX+jBUZje23s8vLgQP+qdZ369aLbu88IE0v+E5L4cJF+PPPbVkunx3e7TbfurUXo0dPyPH527PDrl278PHxYcKECXh4eGBkZMS5c+fYv3//BwfkSqXysydKzLDPw8mTJ1mzZg2jRo1i1apVHDt27HPVSxAEQfgCFe/aM8Pu6smvo7mzZAHHWzQi+s7tDI8V8ziQq1PG4+dag8NuNbk4tD9RN65jXqYsVRYspf6xM3j4n6WCzwwRjGeRY6/+GNrl5eLQ/iSGv8rt6giC8AFu3bpBaGgI5ctrWwl9fMbj7FyXv//ey8GDx/H2bqWb9CKtANbKyprRoyewc+cBRo4cx/z5s3n27CmGhtrhPO9m5w7Phr8PBw7sw9OzyQftU7Roce7fv6dbvn//LkWLFvvkurxv8eIV2NsXRSaTYW9flMWLV2T7ObJDUFAQHh51UGVhWtEvQWJiAj4+Pnh7N6RFi8YsXbpIN696u3bNOX/+7DtlE2nY0IVHjwIBbb6BH35og6enK4MH9+Pp0ycATJgwmoiIcIYN64+HRx22bNmEUqlk/PiReHk1wNPTlYEDe/PkyaM066RUKpk9ezZDhgyhRYsWmJiYIJPJqFmzJlOnTgVApVKxePFiXF1dqVWrFmPHjiUmRvtg6MGDB5QuXZrNmzfj4uJCr17aBygHDx6kcePGODk50aVLFx49Svv879dl4MCB1KpVCycnJzp16sTDh5kPycgwII+Li8PWVps4IF++fLqKC4IgCP9Nfq41iHv2NNV6VUICD9f/ysk23jzdtZ2kiAgujRpCUkS4rkxSRDh3fl6In2sN/FxrcObHDgT7H8HQ1o6yE3yof+Q0Hv5nqbZ0NZaVqojkZB/J+U2LyomWTVKMtxcEIXc9e/aUli2bUKVKGUJCgnWJxmJjYzh9+iSTJ2u7BBcvrs3sHRcXh5mZOQYGBty8eR0/vwO6YykUFkilUl68eK5bd/ToYUJCtF2zTU1NAQlSqRQLCwtsbGw5eHA/KpWKPXt28vz5s0+6lmvXrhAWFoK7e/1U25KStGOjQRugJCYm6rqke3o25q+/NhIaGkJYWCibNm2kceP0x3Z/rIIFC7Ft214uXrzBtm17KViwULaf40O0bu2Fu3ttPDzq6H7CwkLJmzcvfn4ndVOyZeTSpQu0aNE40zIDB/amYUMXWrf2SrEtIiKcyZPH4e3tScOGLvTt240b7/VI27p1E23aNKNBAxfCwsJ4+PBBiu1r1vzCnTt3+P33v1izZj0BARd107F5ejbh4MH9urKnTh2nUKEi2NsX5eHD+0yf7sOwYaPZvduPSpUqM2bMMJRKJT/9NBsLC0vmz1+Kn99J2rRpD4Czswt//bWDnTsPUqSIPT/9NCXNa7537x5hYWE0bNgw3ddl06ZN7N+/n40bN3Lo0CHCw8OZNWuWbrtKpeLKlSscOHCAZcuWcffuXcaMGcPkyZP5559/qFq1Kn379tU9fMiIu7s7fn5+nD59mmLFijFmzJhM98mwPV6lUnH27Fndm0ipVKZYBqhZs2amJxEEQRC+TWqlkhf7dnNv1TLUScmo32mBSY55zZnunUiOihSJ2D4jiVSK6+5D+Hs14FjT+rjvF73bBOFL8H6isenTpzB/vi9SqQR7+2K0a9eR5s1b6coPHz6an39eyPz5vlSqVBl39/q6xjFDQ0M6d+5Gv37dUSqVzJ27hNu3b7B48TxiY2OwsLBk8ODhuu7ko0aNZ/782axcuZQmTbwpV67CJ13L/v17cHFxw9g4T6pt33/fiqCglwAMGzYAgC1bdpEvX368vVvx4sVzOnfWBl1eXt54e7dKdYxv0dtp7nKSoaEhTZo0o379hqxf/2uKbXFxcZQqVZqBA4dhYWHBnj07GTVqMFu27MbY2PjNEImf+fnnVXz3XUmaNKnH2rW/0Lp1O90Dg0OHDjB37hwUCgUAP/7YjeXLl/Djj93x9GxCly4dSEhIwNDQkIMH99GwofYBgp/fQerWddXlRejUqStbt27i9u1blC1bLtV1yOXyFEn4unbtSfPmjd486EmZVC8yMhKJRIK1dfr5Dnbv3k337t0pUED7fhg6dCjt2rVj2rRpujKDBg3C6M13kr179+Lh4UH16tr71adPH9avX8/169epWDH9ce5yuZwWLVrolgcMGECdOnUyTN4HmQTkVlZWjBs3TresUChSLEskEo4cOZLWrsI3as2aX3j+/BmTJk3LvPAneDsFx/Lla3L0PLlh3bq1vHjxPEtJUKZPn4KNjS29evX7DDUT/sue799DyIljVJo5D4BT37fGrMR3lJ+izRp6ok0zlG/G/Z3p0QkJEgp4NSfY/wjK169RJaQx1lClIulNt8jCrdph37GzSMT2meiZmlFt+RrO9e3OzXmzKD088yf0giDkrHcTjcXFxSGTyTIcU+zmVj/F/N7v69GjDz169NEtly1bjn79BqdZtmbN2mzZsivNbY0be9G4ccrW1MzGOo8aNT7dbVvfzNiRFolEQr9+g9Ot53/N+1PS7d27iz/+WEdISAgKhQUdO3amefNWxMfHM2LEYJKTk3SJ1/78c1uKxHKgzdRfunRZzp//X6pzFShQkPbtf9Ate3u3ZOnSRTx58piSJUsRFPSCokWLUbJkKQCMjIwJDg4iIiICa2trNBoN4eGvdEEtaJMBhoZqe3rky5cfR8fvOHnSHyen6ly8eJ6xYycB8OpVGHnz5tPtJ5PJsLa2JSwsJM3XRalUsmLFzxw/foyoqEikUgkajYbo6Cjy50/5PUKhUKDRaAgLC9P17H5fSEhIinrnz5+fhIQEIiMjAe0Uc3Z2dinK58+fP0V97ezsMk0OqFQqmTdvHocOHSIiIgKpVIpGoyEyMjLF8d+XYUB+9OjRDE8qfJsOHTrAX39t5MmTRxgbG+Pg8B2dO3f7pMyHue3d+TZzW+fO3XK7CoKQikWFStz9eSEatZqkiHA0KiWR168CEPfiOar4eNz2HOawey1KDRvNoz/W82z3DtRpBeLvkRoakse+qAjGPzPzUmVw7DuIe8sXY12tBrZ1XHO7SoLwn/ZuojGpVKqbCksQ3rKwsMTXdyH58xfg8uVLjBgxiFKlyvDddyWZO3cR06ZNYvv2fdlyrnv37qBUJlOwYCGePXvKkiULCAkJxsurAUuXriQuLo4CBQpgZaX97JZIJFhaWvH8+XMcHCwAbXZ5G5t/Hwo0atSUQ4f2ExUVSZUqVbGwsAS0+Q3e9poAbS/ssLAQrK1t3xw7Zd327dvN+fNnWbJkBXZ2eQkPf4W3t2ea2fgdHR2xtrbm0KFD/PDDD6m2A9ja2vL8+b/DO168eIGhoSEKhYLw8PBUQ+RsbW158eJFivoGBwdnGFQDbNu2jVOnTrFu3Try589PWFgYzs7Omc4iICayE1LYtGkDixfPo3PnruzadYi//95LixatOXXq+AcfKyvjLHLCl5wYI7deE0HIjHH+AsiMjXl9/y4RlwOwqlodA2sbYh8/IuJKAIryFYh5M5bs5tyZxD56mKVgHECdkMCtBb7EvkngInw+9u2+x7x0Wa5MHEP8yxeZ7yAIQo75WhKNCTlj3LgReHq64unpytixw9MsU6uWMwUKFEQikVCpUhWqVavBlSsB2V6X2NgYpk2bRNeuPTExMWHQoD48efKY5ORkwsNf8f33rYmJeU3bth1TBKv16zdk6dKlREVFEhERzu+/r00xFZqbWz2uXr3Mjh1/07Dhvwn/6tVrwIkT/ly+fAmlUsmGDb9hZmaua423sLDixYt/8xrExcWir6+PmZk58fHxrFq1PN1rkcvljBo1ioULF7Jjxw5iYmJQq9WcO3eOKVOmANC0aVPWrl3LixcviImJYeHChTRt2jTdXDWNGjXCz8+P8+fPk5yczMqVK1EoFJQtWzaT1zUWAwMDFAoFcXFxLFy4MMPyumvIUinhPyEmJoY1a35h7NjJuLi469Y7O9dNMRdjcnIy06ZN4sQJf+zs8jJhwhRKliwNaJNWNG/eCj+/Azx58piePfty48Y1pk+fo9t/wQJfpFIZgwcPZ9++3fz662oiIyNQKBT07Nk3zTkOHz9+xIIFvty7dwczM3N69OhLvXoegLZbt4GBAUFBL7l8+RIzZ87LcIzOpUsXmDZtEq1bt+PPPzcgk0kZPnwsenpyFi2aT1RUJB06/KBryV6z5hcCAx8glco4c+Y0hQoVYuzYyTg6lgC0U5QsWODLlSsBGBkZ07bt97qEFG/31dc34NSpEwwcqJ1P8t1u/xMmjObq1cskJibg4FCC4cPHUKxY8Y+6h4LwKSwqVCLi8iXinj/DokIl5CYmRFwJIPLGNRJfhXG2RycAJBIpsjwmgAaNSo1apUSjVCLV00NmaIjMyBi5iQl6pmbomZmjp1Cgr7DAMJ2uZELOqrp0FYfdanKqQ0vq+Z1E+maOXEEQPq+3icaE/6YZM+ZmOob8zJnT/PrrKp4+fYJGo52yrVgxh2ytR2JiAqNHD6NMmXJ06tQV0H7Plkql6OnpERcXh1QqJX/+AqxatRwXFzdd1/gePfqwevXPdOrUDolEQv36DejY8UfdsY2N81C7dl1Onz6RInZwcHBkzJiJzJkzg1evwihRoiSzZs3TTS/WuXM3fv55AYsWzaVnz740bdqcixfP4+3dEIXCgq5de7Jnz850r8nb2xszMzN++eUXfHx8dPOQ9+zZE4AOHToQGhpK+/btSU46X1sPAAAgAElEQVROxsXFhbFjx6Z7vJIlSzJ9+nQmTZpEaGgopUuXZtmyZZlOh9a6dWvOnDmDs7MzFhYWDBgwgK1bt2ZyR0RALrzj+vWrJCUlUbeua4blTp8+wfTpvowbN5lVq5Yzf74vK1f+ptt++PAhfH0XolAoeP06hrVrV/L69WtMTU1RKpUcOeLH3LmLiY+PZ+HCuaxe/TuFC9sTFhZGdHRUqvPFx8czdGh/unfvze+//8rZswEMG9afokWL6QJXP78DzJmzCF/fhSQnJ2d6reHhr0hKSmLHjv3s27cbX9+fcHKqztq16wkKCqJHj07Uq9eAAgUKAnDy5HGmTJnOpEnT2Lz5T8aNG8Gff25DKpUyatRQ6tRxYcqUGYSEBDNkSH8KFy5C9eo1dftOmzabCRN8SE5OYsOG31PUpUaNWowbNwm5XI/ly5cwdepEfvvtj0yvQRCym0XFSoT+c4qEly8p2rELchNTgg4fJPLGNfI3akq+eg24u2wxjn36Y1KkqC7olpuYIDfOgyQLWWKFz08ikeB+wJ+jnq4c8aiDh//ZzHcSBEEQPsmzZ08ZNKgPjx8/Ik+ePLqs+ulJSkpiwoRRTJjgQ506rsjlcsaOHa7r7pwdM48kJSUxduwIrK1tGDny37xgRYrY8/z5M5RKJRKJhCJF7Nm2bS9dunzPtWtXdLkMDA0N8fHxYcCAEemew84uL25u9VMlMatXz0PXmPY+d/f6qTL2z5mzKMVy48ZeSKXpvwZubm64ubmluU0mkzF06FCGDh2aalvx4sW5efNmqvWNGzemceO0s9qfPn1a9/uIEf++FqampqxcuTJF2ZYtW6Zb57dEl3VBJzo6CnNzRaZPf8qVq0jNms7IZDIaNmycYj5JgNat22FnlxcDA0Osra2pUKEyx44dBuB//zuDQqHQdVGRSiU8fPiAxMQErK2t02wZ/uefk+TNm48mTZohl8v57ruSuLi44+//b0JBZ2cXypeviFQqzTCL4VsymZzOnbshl8upX78BkZGRtGnzf/buO76m+w3g+Ofemx2yZCOJHQShqBGECJFExGikqFqlao9Wjdq7VmNrzRqhaoUIMUIIfrVHVFHEyhJJZOeO3x9pjlyJ2RKt7/v18nrl3rO+557cOM85z3meTzEyMqZ8+Qo4OZXn5s0b0vxVqlSlefOW6OjoEBjYlZycbK5cucTVq9EkJz+mZ88v0NXVpXTpMvj5+XPw4H5pWReXmjRt6v7X2AwKjcXXtx1GRsbo6enRq1dfbtz4Q7QYFIqFea06PD53FlV2NgbW1pjXdCXxfyfJTU2hfLceOAZ0Qc/cAuMyDljUqYtJZWcM7ezRLWkigvH3nMLAgIZrNwFwbszXxTwaQRCE/778qvoqlQqlUsnixS9OX1Yqc8nNzcXMzByFIi8r83//e3oB1cKiFCkpKS88R1Sr1WRnZ6NUKtFoNGRnZ0s3qpRKJePGjUJfX59x4yYhlz8NA4OClmFhUQodHR3Kli3LDz8s5bffTnL37p3XukP/+PFjQkND8PNr//KZBYm4Qy5ITExMSUlJRqlUvjAozy/uAHlXynJysrWWebbgQZs2PuzY8St+fu3Zv/9pCwRDQ0MmTZrBpk0/M3PmFGrUqMXAgcMKFTmJjX1IdPRlvLzckcnyqiyqVCppPQDW1i8usvAsU1NTqYWDnl5eAG9hYSFN19fXJzMzo8j1y+VyrKxs/rrSKePRo0S8vNyl6SqVWqsA3ovGplKpWLFiCYcPHyA5OVm68peSkkyJEiWeu5wgvA3GZR1QGBpiXjOvHY6OsTGGdvbomZlJAXf5Hn24PGMy6uxsqo78FtsXVAAW3i8lHMtRffR4rsyYzP09uyjt41fcQxIEQfjPKlhVH3hphW4jI2OGDBnJ+PGjyc3NoXHjJlpp346OTrRs2YqAgHao1SrWr/+lUJX18+fPMnjw08r7Hh6NcXWtw6JFK7h06QJRUZHo6+vTps3TO8lz5gRRq1ZtQkMPsnLlckJDQ+jVqxvW1tZ8/fWYVy4++Ouvm1m6dCG+vv5Uq/biZ60FbSIgF7RSaoyMjNix41c6der8N9aonU7SpIk7c+bM5M8/bxAVdYz+/Z+2uvj444Z8/HFDsrOzWLFiKbNmTWXJkp+0lre2tsHVtQ4LFizByqokCQlPCm/xH0jjeZH4+Kd/RNVqNQkJcVhaWqFQKLCzsyc4ePtzl33R2MLDwzh27AgLFizBzs6etLQ02rRp/tJqjILwtjR75vnGBgUeRwEo264DZdu9PP1KeD/Zt/Ym4Xgk0d9Px7RqdUqIehWCIAhvRcGq+llZWTg5lSs0j52dvVaLuY4dA+jYMeC56xwzZsILt1mnTt3ntqyrXfujF7azk8lkhVrpvY6OHTvTsePfiR8+XCJlXdBKqcnOzuaHH+Zy9GgEWVlZKJVKTpw4zpIlP7x8Rc+hr69P8+YeTJo0jqpVq2NrawvkPcd97NgRMjMz0dXVw8jISCt9Jl/jxk24ezeGsLA95ObmolQquXr1Crdv33rjMb2ua9eucuTIIZRKJVu2bERXV4/q1WtQtWp1jIyMWb9+DdnZWahUKv788wZXr155pfVmZGSgq6uHqakpWVlZLF+++C3viSAIH7pak2cAcKJXV1SZr1YpXxAEQXg9oqq+8KpEQC5opdTk5OSQnZ3F2rUr8fVtSYcOPmzbtoUmf7N/rZeXLzdv3tBKM1erNQQHb8Df3wtv7xacO3eGESO+LbSskZEx8+cv4uDB/TRp0gQ/v9YsXbqQ3NycvzWm19GkSTMOHgynTZsW7NsXyrRp36Ojo4NCoWD27Plcv/4Hn3zSDh+flsycOfWVnwH38vLB1tYWf39vunX7hOrVRYqPIAhvn8eBYwAcEhk5giAIb0V+Vf0zZ66wbdseypQpW9xDEt5TMs1/6H/iR4/SUKvfbHeelwr9IejQwUdKqZHL5Tg5lfvH23LExsbStWtHdu3ah7Hxmz8bXRzHaeXK5VptyoQX+5C/S/8m4jj9O7zN45QZF8uxzv6YVKnKx8tXv5VtfAjEd+nfQRyn9584Rv8OxXmc5HIZpUr992osiTvkwltPqVGr1WzevAEPj1Z/KxgXBEEQ/jmGNra4Tv+e1GtXubVxXXEPRxAEQRA+SKKomyCl1LwNmZmZ+Pm1wsbGjrlzg97KNgRBEIQ3Y9WoCWXbd+LGiiWY16qNWfUaxT0kQRAEQfigiIBceKsMDQ0JD48s7mH8Lb179yvuIQiCILw1zkNG8vDAfn4b8AXNdu5Dz9S0uIckCIIgCB8MkbIuCIIgCB84951hABxp1xpNgb65giAIgiC8XSIgFwThP6dTp7a4uzcgOTlZ6/0ePbrg5laXhw8fvLOx3L0bQ4sWjZg8+TvpvYcPH+DmVhdPzybSvzVrfpKmazQaliwJwtvbA29vD5Ys+UGrEnZkZAQ9enShVatm+Ph4MGRIf2mfVq5crrUtQXgVMrmcZjv2AnD0E79iHo0gCIIgfDhEQC4IQrF420GznZ09Bw6ESa9v3rxBdnZWkfO+StDcsqXbGwXNXbt2QqVScfr0KWmfNm/eKK0jX3DweunnnTu3ERkZwZo1G1m7dhNRUcfYufNXAO7du8vUqRMYOHAo+/ZF8Msvu2jfvhMymfhzLvw9embm1A1aRs6jRK4t+aG4hyMIgiAIHwRxBicIQrF5naD5VSiVSunn1q29CQsLlV7v3bsbLy8frflzcnJYtGgBn38eiFqtJjr6srT9K1cuAfDZZz0xNDSiWbPm9OjRRwq0PTwas3nzRgYPHv7coLlRIzeaNWvBp59+RtmyjoWC5rCwCMLDIwkPjyQsLKLA+3sIDOyGtbUNVlbWBAZ2JTR0NwDXr1/Dzq40devWRyaTYWRkjLu7B7a2tm/8uQlCPvOarpTv+QUxWzaReOpEcQ9HEARBEP7zREAuCEKxeZ2guUMHH9q2bcX330+XguazZ0/Tvr0369evwc+vNTNmTAIgKyuL0NAQrl27Svv23kRFHePQoXBat/bWWvfSpQs5e/Y09es3JDCwK1lZWaxe/ZPWPE+epLJ1awjffDOW6OjLTJ06gQEDBlOpUhW++KI/VatWLzJotrGx5dChAwwcOBRdXV1sbGwLBc2dOrWlfXtvpk+fpJUpcOvWTSpWrCy9rlixMrdu/QlA5crOxMTcJihoLmfPniYjI+ONPntBeJ4Kn/emRLnynBs1jKyE+OIejiAIgiD8p4mAXBCEYlO9eg3S09O4ffsWKpXquUHz3bt3WLNmI5s3bychIUEraE5KekRqqnbQnJKSjJ9fe3r16kuTJs1ITEzAwcERS0sraTmNRsOuXdtJTU1h2LCv0dXVo3z5Chw8uF9r+/v3h9G5sz9z585i27Zf8PHxo169Bty+/Se1a3+Eo6MTUDhovn37Fubm5ty/f4/c3FytdRoYGPDxx43YujWElSt/JiMjncmTx0nTMzMzKVGihPTa2LgEmZkZaDQaSpcuQ1DQchISEhg//lt8fVsybdpEEZgL/6gGqzYAEPmJH+oCmSeCIAiCIPyzRNszQRCKVd5d8j24utYpMmgOCdnO2rXBmJjktWLq3r0nkyaN48svBwIgk8no3bsfenp6AOzevRNDQyOqVKlK2bIODBjwBSkpyYXuvCcnPyY7O4ukpEd8/nkgOTk5qNVqdHV1gbwg2MzMnF9/3U1qagrz5s3i3Lmz9Or1BfDioDkjIx0bG1ssLEoxfvy3pKamYmtrR0ZGBkZGRujq6nLmzP/w9W0JgFqtJiMjg/T0NIyNS2BoaEh6epq07vT0dAwNjZDJZAC4uNTAxWUmAFevXmH8+DGsW7dK+kwE4e+SyWQ0Dz3IYW8PDrZ0wzPiZHEPSRDeuk6d2pKYmMCOHWGYmZlJ7/fo0YUbN/7gl192YWdn/9a2n5OTw9y5Mzl9+n+kpqZSpkwZ+vYdQMOGjQvNu2rVClatWsH8+YupV+9jIO//zKVLF7J7904AfH396N9/sPR/h5tbXQwMDJDJZOjq6lGpUmX8/Nrj4dHqre2TIAgvJ+6QC4JQrLy8fAgPD2Pv3pAig+asrCx69+6Gl5c7Xl7ujBgxiOTkx9I8Zmbm6Ovrc+/eXTp08GH79q1kZmaQmJiAra0ddnb2nDgRRbNmLbTWHR8fh0wmY/36XwgLi6Br189p0cKT8PBIAPT19dHV1UVHRwcLi1IMG/YNKSnJ3L59C+CFQfO5c2d4/DiJS5cuIJcr0NXV5cGD+3Tu7C/N36KFJ2FhEYSFRRAcvB2A/Bpv5cpV4MaN69K8N278Qbly5Yv8/KpWrU6zZs3588+br/vR/6NCQ0Po3793sY5B+GfpGBnT4KefAbg0dUIxj0YQ3o23WdvkZVQqFdbWNixatIJ9+yLo06c/48ePLlTk9P79e0REHKRUKUut919UEDTfmjWbCA+PZOPGX2nTxpf582ezatWKN94/QRD+PhGQvycuXDjHp592eKvb+De1Q/r+++laFa3fFyLo+Hvyg+aPPqpOfHzcS4NmU1Mz9PX1+fnnLVLwum/fESloBqQr/4MHf8nt27dQq9Wo1WoWL14AwOjR4wkKWoqhoaHWuocOHYBMJqNbt0/w9fUkOHg9Bw/up3nzRkWOPX87+/fv5fTp/+HkVJ5z585w585tQDto9vPrwObNO1i9egOrV2+gfftPKFPGgYoVKwGQkBBPenoaarWalJRkFiyYg4VFKTZuXAeAl5c3mzdvICEhnsTEBIKDN+Dt7UtkZASdO7enRYtGtGnTnCFD+nP69P84duwo1au7SGNVq9VkZ2dL/3Jycl77WE2bNpEVK5a89nJvQ6dObfntt1PFPYwPUsmKlXAe9g2xB/bx8JnHOQThv+ht1TYp2K4yIKAdJ09GFdq2oaEhvXv3w87OHrlcTuPGTbC3t+fatata882bN5v+/QdJGV35XlQQ9FlmZmZ4efkwYsS3rF+/hpSU5CLnEwTh7RMp6+9Yp05tGTVqnJRelK9Wrdps2rStmEb1aqKjL7Nq1QouX76ITCanTJky+Pt3wsfn7/WsDQ0NISRkB0uXrpTe+/rrMX93uK9k2rSJWFlZ07fvV+9kex+6gkGzUqlk8eIFtGnjy+jR43nyJBVDQ0OtuwlyuZy2bdsTFDSPK1cukZT0iJUrfyYxMZGPP24IQFJSEm5udcnKykKtVpObm4uOjg7x8fGo1Wr09PQwNDQqNBYjIyOGDBnB779HExl5hLS0NBQKBebmFgB/PdeuRK1W8+RJKgsWzKF27Y/o1CmQuXNncvduDNHRl7GyssbY2Jiff17N/fv38PRsgkqlRqNRExDwKf37DyYnJ5tHjxKwsLDA29uDjIx0NBrw9GxCiRIlqFv3Y0qXLk1IyA62bt2Mrq4OBgaGdOsWgFwux9HRiRMnojh//gwDBw4jMjKC6OgrXLp0gWnTJlKpUmWOHDnM+vVrgLx0+gMH9kn7amVlzfbtoYU+g+dRqVRvcniF/6iy7ToQHxnB5SnjManijHEZh+IekiC8NdWr12DfvlBu375F2bIOHDoUzpIlP/Hjj0uleZYuXciDB/dYs2YjOjo6TJw4jtWrf5IeGypY20SjUUsFQadOncVHH9Xn0aPEV6r7kZT0iLt3YyhXroL03qFDB9DV1aFhQzdgltb8LyoI+jxNmrijUqmIjr5SZGq8IAhvn7hDLrySy5cvMmRIf1xd6xAcvIPQ0IOMGDG6yCu8gvA8d+7cRq1WS6/j4uIAKF26DM7O1Ypcpn//QZQpU5ZHjxJRqVQMHTqAmJg7ADx4cB/QSOuQy+Wo1WpycnIwNDSidWt3Bg7sS2zsQwB0dHQ4duw0dnb2yGQyzMzMGTr0a379dTeffdaDSpWqYG1tA0DJkiVRKBS4uzfA19eTU6dO4O3tS7NmzbG1tcPc3Bxj4xJMmzYJf/82lC3rCECrVt5UrVoVlUpFcPAGPDzciIo6hotLLeLj43ByKodMJkOlUqJUKsnIyODgwf1cunSRlJRk1GoVzs7VGDRoGGvXBrN37yHq1fuYJ09SsbMrTdu2/syevYDdu8M5dCiKzp27EB19hdKly1C3bn0+/rgRenp6mJubs3r1Ro4dO8327XknlwMH9sXLy51u3QI4ePCg9BlPmzaROXNmMHLkYFq2dGP37p3s37+XjRvX4enZhG++GQbAzz+vISCgHZ6eTenW7ROOHDn8zNHSMH/+bFq3bkaXLh05ffp/0pTExARGjRpGmzYt6NzZn127tmttv+Dd+Pw7TABTpnxHXFwso0YNx9OzCRs2rH21XzbhH1Xn+7y+5FHdAlD9jfRdQfg3yK9t8ttvp55b22Tw4BGYmJhiZGRM9+49tQqCFqxtoq9vwO7dO6WCoHK5HCsra6kg6PMolUomTfoOLy8fad6MjAxWrFjM4MEjilzmRbVNnkdHRwdTUzOePEl9hU9GEIS3QQTk74mCJ6CQdyd948af+fzzQFq3bsb48aPJzs6Wpj8v9elFJ70FPXz4ADe3uuzdu5sOHXzw8fFg7dqVRc4LsHjxD3h5+dKtWw/MzMyQyWQ4O1dlypSZ0jy7dm2nc2d/2rRpwahRw0hMTJCmubnVZceOrQQGtsfLqzlz585Co9Fw+/Yt5syZwZUrl/D0bIKXlzugfYKe/9ls2rSehg0b0q5da/bs2SWt+1VSxzZtWo+vr6fWsjt3bnvDoEN4U46OTsjleX92srKyKFu28J22gkEz5D3L3a/fAKysrOndux82NrZ88kkgkHcXu1evvgBMmDANJ6dyKBQKzMzMMTMzw8DAgLp16+PqWhvQTiWMj49j06a852MjIyOIjDzC9evXuHbtKidPRtG8eUv09PTp0+dLDh2KYvr075k373uCg9dTokRJSpWyJDMzg4ULl3H06P8YNCjv9+fgwf0MGDCUQ4eiaNHCEze3JmzdGkJ6ehrp6Wn4+PgRHh5Jjx59AFi+fA0TJkylZEkTunXrwYEDx5g7d2Gh3uImJqaF2p2lpaWxcuVyhg8fhZNTOaKijuHh4cn+/Uf59NPujBkzEqUyL/AfNWoY9es3ICQknGHDvmbkyJHExNyW1h8eHkb37r3Yv/8oXl4+tGrVhi5duhMeHsns2fOBvIseS5b8xL59EfTs+QVTpnxHYmKitI7o6CvY25dmz56D9O7dj7FjvyY1NQWAiRPHYmVlw44de5k6dRYrVizWCtif57vvpmBjY8usWfMID4+ka9fPX7qM8M+TyWR47D8KwKHW7i88wReEf7t/qrZJvvj4OEqXLvPK21er1UyZ8h26ujoMHz5Ken/lyuW0bu2NvX3pIpd7WUHQoiiVSpKTH1OypMkrj08QhH+WCMjfY4cPhzN37kJ++WUXN29eZ+/eEACtXshhYYdZvPhHKXh53ZPeixfPs2nTryxYsJQ1a36SClYVlJWVxZUrl2je3OO56zlz5jeWL1/E5Mkz2bkzDFtbOyZM0E47j4o6xo8/rmPNmk0cPhzOqVMncHIqx8iRo6levQbh4ZGEhUUUuf6kpEekp6dx9OhRvv32O+bNm0Vqat7V3Fdpi5WensaOHXu1lm3XrsMbBR3CmwsKWiYFzU5O5QgKWvZay7+oTZqdnR3btu2he/de1KnzET//vPmFbdKsrKylC0GjR4/k3r0YAMqXr4idnT1XrlwiMzOTbt16oKury0cf1aN+/QasW7eKgQOHAmBtbUPNmq7I5XKpyntubi5jx37D7NnTaNzYjevX/wDg5s3r2NjY4uPjh46ODm5uTQEZEREHqVzZmfT0NH777dRze4sbGRkVanc2btw3ZGfn0LSpOwBVqlSlefOW6OjoEBjYlZycbK5cuVTkvjRv3pzw8Kdp7W5uzaR9KXgiWVCLFi2xtLRCLpfj4dGKMmUcuHr1sjTdzMycgIAu6Ojo4OHRCgcHR6KijhEXF8vFi+f56qtB6OvrU6lSFXx9/dm379XT6IXiJ9fTo/GGrQCcGS4q+gv/Xf9UbZN81tY23L9/75W2rdFomDlzCklJSUybNhsdnadPl5458xtbtwbj59caP7/WxMfHMX78aOlxpdcpCJovMjIChUJBtWrVX2l8giD880RA/h7r1CkQS0srTExMady4iXRi/7zUpzc56e3Z8wv09Q2oVKkyFStW4saNPwrN8+RJKmq1ulA1z4L279+Lj48fVao4o6enR79+A7l8+aJWZdCuXXtQsmRJbG1tqV27rrQ/r0Kh0KFHjz7o6urSsKEbhoZGxMTceaXUsfxldXR0tJZ9npcFHcKbK1OmLNu27eHMmSts27aHMmXKvvY6/qlUQplMxowZc/H09CIg4FMOHDjGyJGj0dXVxdHRicTEBKytbaQ7+gCxsQ8pXboMNjZ5d64NDAykaaamZjRq5MYnnwRKvcWDgzeSmZkJ5GVy3Lr1p3RHZfDgL1GplDx6lEjp0mWoX78hGRnpL+wt7uJSgylTZrJ79wEWL/6RGzeuo6enK52w5afbA3/9bbAhMTGhyH2xt7fXymIpuOzz7N27mx49ukj7cOvWTa1CQFZW1lonojY2dn9tPxETExOMjIylaba2tiQkxL90m8L7xah0GWpOnMbjc2eI2fZLcQ9HEP62ooqNwvMLghasbfL4cRKQV6jz1KkTz92Gr287QkNDOH36f6jVahIS4qWCoM+aM2cGt2/fYtas+ejrG2hN++GHJaxbt1kqGGppacXXX4+hQ4cA4PkFQYuSmprC/v17mTdvNl27fo6pqVmR8wmC8PaJom7vMQuLUtLP+voG0l3a+Pi4IgtvFDzpHTiwL61be2Nra8vx45EMGzYAF5eaQF76eFDQcgCWL1+MjY0tfft+hb6+gRQ8FFSypAlyuZxHjxKf+8xTYmIilSs7S6+NjIwwNTUjISFeuntfqlQpqYiagYEBmZkvL2iSz9TUVOsqcf7yBVPH8mk0Gq3nlJ+37PPs3bubzZs3EhubdzEhMzOzyOqjDx8+4JNP/IiIOKm1fuHt8vLyYcCAL3j48P4LUwnzFfx9SEhIQK1W06hRHYyNjUlMTHju98nS0or4+DjUajVyuZzr169x714MHTt2LjDX0+Az/3deLpdLbdLatfOSLmTp6elRrlwFfvopr5L6779fZdCgflIBQwsLCypXrkLfvl+9Um/xqlWrU6tWbY4cOSQVwouPj5Om5530xUkXLAruC8DDhw+xsrJ7uifP3NF59nVs7ENmz57GggVLcXGpgUKhoEePLhTMXE5IiEej0UjLxsXF4ubWFEtLS1JTU8nISJeC8ri4OKysrAEwMDDUaiuUlPTohWMRipeNuwd2XlFcC5qLmUsNTAr87ReEf5vnFRt9UYp5//6DWLPmJ/r27UlKSjJWVlb4+3eSio0+q1o1F0aPnsDChfN48OABFhYWDB8+qtA5VWzsQ3bu3Iaenh7t2rWW3v/66zG0atWmUNAsl8spWbIkRkZ5hUvbtevIgwf36d4977Gutm3b0a5dR61levT4FJlMho6OLhUrVmLQoOG0auX1yp+XIAj/PBFFvAP37t1l8OAvuXPnthQEFCUvkPiMmJjbZGdns3z5YvT09KlVy1VrvuelPhU86c0XFxeHs3NVxo6dyMqVy99o/AYGBlSvXoOIiIPUqVO3yHksLS2Ji8srnBUaGsKMGZPRaDQMGzZA665cUd7kZDst7Qnr169h/vzFUupY/sn963iToEN4d4r67tSr97GUSvjtt+O15i+YSljU78PChfNQKpWoVCrpxKtp0+ZFfp+qVXPBwMCADRvW8emn3di1awfp6ens3LmN3bt3ShdpevXqyqpVGwot/+zvVoUKFbl79y5hYXto2bI1f/zxO7a2dty+fQsnp3KYm1v8VaSu6N7ijx8nsWvXdpo0aYa5uQV37tzm+vU/0NHRITIyAoBr165y5MghGjduytatwejq6lG9eg00Go3Wvly8eJ5Dhw7x44/rnkWSrA4AACAASURBVPvZFxwP5F2YkslkmJvnnRDu2bOLW7e0e58nJz/ml1+C6dDhE44ejeDOnds0bNgYU1MzXFxqsmzZIgYMGMrduzHs3r2T8eMnA1CpUmWCg9fz+ee9yc3NZcuWTS8ci1D8XL79jtjwME717YH77gPoFigkJQj/JgWLjWZkZGjV68mXX9skX35tk379BhSat06dukV2tWjWrDnNmjV/4Vhsbe20tvMyW7eGaL2WyWR89dUQvvpqSJHzv866BUF4d0TK+juQf/U1PwhYtGiBVo9gpVLJoUPhpKU9oXv3nuzatR8rK2saN27KsWNHCq3vealPNja20kmvWq0mPj6O3bt3/iNXPr/6ajB79+5m48Z1UiBy/fofTJgwGgBPTy9CQ0O4fv0aSqUSC4tS1KhRi4MHj2s9V1UUc3MLEhLiyc3Nfe1xvUnq2LPbft2gQ3h3nv3uvKy3+It+H2JjY6X38sXFxWl9nzQaDbm5udy5cxtdXV1mzpzHqVNR+Ph4cObM//j22+9Yty6Y1as34ODgSOnSZZk7dxEAV65cJi0tDY1GQ0pKMjNnTkEmk0mBubd3W0qWLEloaAh+fq2YM2cGSmUuubk5XLhwHkNDI27cuI6XlztDhvRn375Qbt58+iygQqHg6NEIPvusMy1butGzZxccHBzp2/cr5s2bzZ07t2nUyI3w8H20atWMDRvWMm3a9+jo6KCrq8uIEd+yfPkivL1bMG/eLGbPnl3o7szKlcuZPPk7ABo0aMTBg/tp3boZo0ePoFy58nTu3JV+/Xrh59eKP/+8QY0atbSWr1atOvfuxeDj48GKFUuYOnWWdEdn4sRpxMY+xN+/DWPGjKR3777Uq9cAyHsMoWLFynTq5Mfw4QPx8PDUWu9nn/Vg7dqVeHm5s3Hjz6/3SyS8NS325f3/FOHbUhR5E/61ChYbzW8zKQiC8C6JO+TvwLOtnlJSkvHweJoiGxjYjdDQEEqWLCkVD5HJZLi41JD6lecHFV5e7ujr61O9ek2Cguby8OFDLCws8PX1Y+/ePSQkxBMfH0dCQjwxMbfp0+dLEhIS6N+/N3Xr1n/hOFUqFVu3BrN8+SKUShU1a9Zi5MjRWFvbUKNGLaZPn8P06RNZunQhGo2GkiVLSq036tatT58+XzJ27DckJT1CV1eXSZOmv/SzOX48khUrlpCQEE/Llm4YGhpKhd0yMzMYO/ZrTp/+H5mZmfzySzBfffUFJ09GkZaWxrlzZ/D0bIKtrT0VK1aifXtv9PT0sbKyQq1WU6JECfr3HwxA//69+fTTz2ja1P2viyLziYuLxdTUHLVahZeXO7Vrf8TYsZMoU6YsXbt+AuQVEctP9VepVBw4sJ/o6Mt88kk7AgO7vsrhF16iU6e2JCUloVDIMTAwpGHDxgwd+jVGRkYvbJP2PPmphP7+bdDR0cXW1lZKJTQ3t5DSobOysnByKldkKmFs7EMcHZ0oX74CixatKLSNgQP7cv/+PZo2deeLL7qTlJT0VzCfQ2RkBNu2bcHNrRk7duylVClLfvhhLr/8sokGDRpx5UpePYJ27dqTk5PLyJGDSU9PRyaTSUHN/fv3qFLFmbS0p9Vyn20xaGVlzZw5ea2oLC2tWLz4Bx4/foyZmRkffVSX7t17UaXK01RiB4e8tmyhoYfQ0dHByqokCQlPABg7diKAVhZN7dofERn5m9Y2n3dHCPIuOHh7twXQqgqcz9rahtmzFxS5rL6+PpMnz9B6r3Pnp9+vJk3cadLEvchlheIj19Gh6a+7OdrRl6junWn885biHpIgvLagoGVSJpajo9NrFxsVBEH4u0RA/g44OjpJzyflBwHbtu2Rpp88GcUvv2xi166nhaeeTUPy9++Er68/zs5VSUiIZ+TIwbRr14GAgC4kJycTENCO0aO/o0kTd379dTNLlgTRr99A2rb1JzQ0b129e/cD8gqwWVtbc+zYaaZNmyhtY+bMuZw7d4YGDRqjVquYPn0y8+fPZsaMuQBs2bKRGjVcGTlyNEZGRly6dIHatT/SGqO/fydCQ0MICdmhVSTq2TSpsWMncu3a74wYMYhZs+bj7FyV/fv3snLlcnJychg9ejx9+nSnSZNmTJw4nfj4OIYOHUCNGs40aNCInj2/4P79e4wfPwWA7Oxsjhw5zJYtOylRogQdOviQkZGBs3NVgoO30aaNB7VquaJUKtHX18fDoxWffvoZFy+e59tvR7By5TocHJyYMmU89valWbZsFSkpKQwbNpBu3brj6+vPjh1biY19wJYtOzE0NGTs2G/+zq+FUMCsWfOoV+9jEhLiGT58IGvXrqR//0FFfnee9bxUwvDwMEaNGidd1AJYtmxVkSder5JKmO/hwwdcvHgeY+MSNG3agsuXL0njnzZtIpcvX6R8+Qp8911eOrZSqeTw4QOULl2GFi08mTMniJSUZHr16kaNGrVYtmw1dnb2xMXF/tWerx0VK1aSvkeQ991dvfpHgoO3F1kIr1WrNty9GyN9J5RKpahrILwT+qUsqTPnB86OHMKN1T9SsecXxT0kQXgt+cVGBUEQios4Y3sHXnb1NTU1BVNTsxeeQDs7V5V+trOzp127Dpw7d5aAgC6cOHEMJ6dyNG/eEoCAgC4EBxd+pvVlTE3NcHd/2trs8897MWjQl0Be0baTJ6PYs+cgJiZ5vSoLBuPPio6+LPUUB5gzZyEuLjW05gkJ2U67dh2oXt0FgDZtfFm3bhVXrlxCT0+f5OTH9Pzr5K506TL4+fkTGhqKs7P2M/WQF4Q5O1flwoWzlCplRYUKFSlRoiQXL15AT0+PsmXLYmpqxoUL56T2T3K5nI8+qiel+fbo0YdDh8JZtWoDRkbGGBkZExjYlbCwUHx9/Tl06AABAZ9KFbY/+6wn586dee3PWXg+KytrGjRoLD0mMHHidIYO7U92djY6Ojq0a9dBmnflyuXcvn0LPT09jh6NwMbGlnHjJuLsXI0pU74jLi6WUaOGo1DI6dGjDy1aeBIY2F4qwrdnzy5GjRpGfHw8ZmbmdO3aHX//p8VvIiMjWLlyBQ8e3MfMzIzhw0fRoEEjwsL2UL26C9WquRAWtrvQPjRu3JT9+/dy/fof9OzZhenT51ChQiUuX75ARMRBQkK2S/26hw8fxeLFCzh58jgymRxv77bPtKjRMH/+bMLC8k4WL126SJkyZYmOvszQoQNQqZSUKFECJ6fyxMTcwdDQiObNG1KpUhWWLl3J0qUL2bs3hKysbKnY0KNHiQQFzeXixfMYGBgSENBF6ute0LNFCwcO7EutWrU5e/Y3bty4gYtLDSZMmIaZmajM+6ErVfdjHD/9jFtrV2LhWgeLF/zfIAiCIAiCNhGQvwMvu/pqYmJKSkryC+9qxcTcYdGi+fz++1WysrJQqZRUqZIXpCcmJmrdjZbJZK/UwuhZWVlZBAXN5dSpEzx5kpfKmpGRjkqlIj4+FhMTEykYf5lq1VxYunTlC+eJjX3I3r27+fXXzdJ7ubm5JCYmIJcrePQoUSuoV6nU1KtXdFE5AFfXOpw7dwYrK2tcXetQsqQJ58+fRVdXF1fXOgBFtn+ytc1rzZSSkkxubi62tnaFpj1d1rbAtKc/C/+MuLhYTpw4Lt2tXrFiMd7efgwaNIyYmNsMGzaA6tVrSI9fHD9+lGnTZjNmzAR+/HEp8+bNZsWKNXz33RQuXDivdYe8YAs+yKsfMHv2AuztS3P+/FlGjhxM1arVqVLFmejoy0ydOoGpU2fx0Uf1efQoUWpBFha2h86du1Ktmgv9+vUo1A5QT0+Pxo2bcvz4UQD27QvFy8uby5cvcPnyRRYt+pEZMyZTv34DZsyYhLm5BcHBO8jKyuSbb4ZibW0jXRiIjr6Cu7sHe/YcxN29AfPmzaJxYzfkcgWlS5ehXbsOfPxxQ778sidJSUkMGTKCcuUqMHXqBHbt2k5UVCRBQcvp06e7lKr/7bcjaNrUnUWLgoiOvsnQoQNwcHB8bnXggsLDw5gzJwgbGxtGjBjMpk0/07//oDc93MJ/SOV+A4g7FM6ZYQNotj0UPXOL4h6SIAiCIPwriKJu7wEXl5ro6elJlZKLMnfuTBwcnAgO3sb+/Ufo12+A9LyppaWlVrsjjUaj9fpVBQevJybmDitWrGH//iMsXrxCWp+1tS2pqalSoP5PsLa2oXv3XoSFRUj/Dh48jqenFzY2NtjZ2WtNCw8/yo8//ggUXZm9du28gPzChXO4un6Eq2sdzp8/y/nzZ6WAvGArq3xxcbFYWlpJWQqxsQ8LTQMoVcqS+PhYrWnCP2PMmJF4ebnz1Vd9cHWtQ/fuPYmLi+XixfN89dUg9PX1qVSpCr6+/uzb97R6bY0arjRs6IZCoaB1a29u3Lj+gq1oa9TIjdKlyyCTyahd+yPq12/AhQvnANi9eyc+Pn7Uq9fgr37e1jg6OnHhwnliYx/SooUnzs5VKV26DJmZmdL4w8PDOHz4AF5ePhw5chiACxfO0bSpuzTe8uUr8ORJKkZGRpw8GcWQISMwNDTE3NyCgIAuWj3TzczMCQjoIl2os7e3JyrqGM7OVTE2NkahUGBnZ0/t2nXR09OjU6dA6tSpi0wmIyRkOwEBn3LlyiVq1KhJr159AaTMEz09PSnzpOA2X8Tbuy0ODo7o6xvQooUn16//8cqft/Df57ZpGwBH2nujUamKeTSCIAiC8O8gAvJidO/eXTp08KFZs49RKBTMmTODo0cjyMrKQqlUcuLEcZYsySvalJGRjrGxMYaGeYWutm/fKq2nYUM3bt36U+pH/MsvwYX6+L6KjIx09PUNKFGiJKmpKaxa9aM0zdLSkgYNGjF37kxSU1NRKpWcP3/2b+2/n197du7cxpUrl9FoNGRmZhIVdYyMjHSqVq2OkZEx69evITs7C5VKxZ9/3uDixYtAXs/mhw8faAXWLi61iIm5Q3T0FapVq0758hWIjX1IdPRlKSAv2MpKqVRy9uxpjh+PpGXL1igUClq08GTFiiVkZKQTG/uQzZs30Lq1NwAtWniydetm4uPjSE1NZf36tX9r/4Wnpk+fQ1hYBL/+upuRI79FX9+AxMRETExMpL7VkJeVkJAQL70uVaqU9LOBgQE5OdlST+6XOXHiOH379qBNmxZ4eblz4sRxqYNAfHxckYXjwsJ2U79+AylN29PTi8zMDGn8np5eNG/eklq1XElNTQGgYcPG6OsbAEgZJiYmpty9G4NSqaRdOy+8vNzx8nLn++9n8PjxY2l7VlbWWhefLC2tSExMICbmDn/+eYOFC+fTqlUzIiIOolDkBe0ymYyWLVvx4MF9rK1tCQ8Po1UrLymjIz/zpG7dunh5ubNu3epX/ntRMBvAwMCAzMyMV1pO+DDI5HLcQ/Iu7hxum1cpX5WVxaPfTvH7wvmc7Ps5aXduFecQBUEQBOG9816krO/cuZOffvqJmzdvMmbMGLp161bcQ3on8ls65bUoi8fW1pa1a1cyefI4jIyMqVLFme7dewEwYMBQZs+exsaN66hUqQoeHq04cyavArKZmRlTpsxkwYI5TJ8+idatvQu1I3oVAQFdmDhxLL6+LSlVyorAwK5ad+2/+24yQUHz6Nq1E7m5udSpU1cKdN+Es3M1vvlmLPPnz+bevRj09fWpUcMVV9faKBQKZs+ez8KF8/nkk3bk5OTg4ODI11/nVXVv3rwl+/btxdvbA3t7e1at2oChoSGVKzujp6eHrq4uAC4uNbh160/M/0qfzG9lNW/eLNavX42VlTXjxk2S2pwMHfo1CxZ8T0BAO/T09Gnb1h8fHz8A2rb15+7dO/To0QVjY2MCA7tJx0D451laWpKamkpGRroUlMfFxb1yv/kX9bfPyclh3LhvGDduEk2auKOjo8Po0SOkrBNraxupN3nBXuhGRkbo6enj59daWo9SqeT+/XtaxeMgrzL41q3B0gWdgmOqW7c+R44cQldXj927Dzz3UZWEhHg0Go20XGJiIpaWVsydOxN9fQN69/6cjh07M3HiWKKinrYXbNmyNVu2bOL69T+Ijr7M9Olz+P33K0BeDYrNm3doVVkXhH+KwtCIKoOHcy1oHofaNEedq0Sup4cqMwOZQkHiyROUcCxcnFEQBEEQPlTvRUBetWpV5s+fz4oVhdsL/ZcVbOmkVquJi4sjNPRQkfO6utZh48Zftd7r0+dL6ecGDRoRHLytyGULtiMC7Yrn+e2OIO/u27MtngoWuTIxMWXcuEkv2avC2yuo4Pbyx92gQaMi57W0tCrUOi0/iDA1NSvyGfXly1drvZ46dXaheZ7Xygry7mDmV25/lo6ODoMHj5BavQF07BhQ5LzCixUMco2NjaXn9AuysbHFxaUmy5YtYsCAody9G8Pu3TsZP37yK23j2R7zBeX1/87FzMwchULBiRPH+d//TlKuXAUAfH3bMXz4QBo1asK0aROJibmDXC6X2umtWrVeWlenTn789tspre8KgI9PW7ZuDaZWrdqFth8Y2JX9+/diamrK7NnTGDJkBGlpaaxatZwaNVzx9W0H5KWX//JLMB065LXhe/DgHg0bNubXXzejUCjQ1dXjzp3bnD2rfWGocmVnTExM+fnnVdSqVRuNRiNldORnnvTv/wUqlYo7d26RnZ1N1arVX+lzFYSi3N3xK3FHD5Ny5RIyhQIUClSZmQColLkAaJRKki+eh85dinOogiAIgvBeeS9S1itXrkzFihW1Cm19CBwdnaR9lsvl0l1aQfivy88OUalUKJVKFi8uuj/1xInTiI19iL9/G8aMGUnv3n2pV6/BK23js896sHbtSry83Nm48WetaUZGxgwZMpLx40fTpk1zDhwIw82tqTS9YG/y+Pg49PX10dHRITc3l3v37lKqlKX0z9jYiLNnfyuUKl+iREmg6Dv1JiamLFu2ClfXOhw8uJ/WrZvTqVNbTpyIQqFQFBhHde7di8HHJ6/7wbBh32BqasaAAUN5/DiJ+fNnM2vWVKpWdSm0DX//jmRlZXHp0kV69+5G06Z5hfJmzpzL9et/4OHhgY9PS2bOnKrV71wQXpc6N5cbK5fx+PxZ1NnZqDIy4DnPkKdeu/qORycIgiAI7zeZJj9H8z3w7bff4uLi8sGkrN+5c4cePXpw8+ZNKlSowJo1a3B0dCzuYQnCW+fg4ICqwAm7QqEgJibmrW/33r17eHh4cOXKlVfu0928eXNu3LiBWq1GLpdTsWJFDh8+/NrbXrhwIXfu3GHOnDmvvezGjRuZNGkSv/32GyYmJlSpUoX9+/eLvxfCeyPnyRPOz53LrV27UGVnP3c+mUJBpxMn0DU2fu48giAIgvAheScp6+3bt+fBgwdFTouK0r4j9Hc8epSGWv1m1xeK43lKIyMLtmzZpfWeeKbzxcRzr++/VzlGjo5OUv2E/OyQopbp1KktSUlJKBQKFAo5Tk7l8fLyxs+vwxtl1CQlpQN537NXDcjnzVsspdc7Ojoxb97i5+7f/v1hbN68gZiYvOfNK1asQvfuvahVy5X09Gyys5Vv9Pv7v/+dQU9Pj+xsmbR8UlI6RkZv/l0Q36V/h3/TcSo3YASWrdpyecYkMh/cR5WVVWgeuYEBt06exbymazGM8O34Nx2jD5k4Tu8/cYz+HYrzOMnlMkqVKlEs236b3klAvn379nexGUEQ/iWCgpZpBblBQcueO++sWfOoV+9j0tLSOH/+DD/8MJfo6CuMGTPhnYy1TJmybNu256XzBQevZ/36tXz99Wjq12+Irq4uJ09GcezYEWrVevPg48sve/Hw4QNKly77xut4F1Qq1T92cVX49ypZqTINfvqZ+6Eh/LEkCHVuDprcXGm6JjeX1D+u/acCckEQBEH4O96Lom6CIHxYXjXILahEiRK4uTXDwqIU/fr1JDCwK+XLVyQtLY3582dz6lQU+voGtG3rT/fuvZDL5ahUKpYuXcjevSEYGZUgMLCr1jofPLjPtGkT+eOPa1Sr5oKDgyPp6WlSYb/Lly+xaNF8bt/+ExsbO4YMGUGdOnULjS0tLY2VK5czevQEmjVrIb3v5tZU69n03NxcpkwZz9GjEdjY2DJu3EScnasB8PPPawgJ2c7jx4+xsbHhiy++olmz5ixbtorQ0BBCQnYU+bnk5OSwYsUSDh0KJzc3l6ZN3Rk8eDj6+gacPXuaKVPGExDQhQ0b1qJQyOnbd4DUOSAlJZlp0yZx/vxZHBwcqV+/AefOnZEKJt65c5v582dz7drvmJmZ0adPfzw88tpZTZs2EX19fWJjH3L+/FlmzJhbqNK88GGSyeWU8W2HdRN3/li8gLgjh1D/lcauzskh+eJ5HDt1LuZRCoIgCML74b2oorZ7926aNm1KWFgYP/zwA02bNuXGjRvFPSxBEN5D1aq5YGVlzYUL5wGYP3826elpbNmyk0WLVhAWFkpoaN6jICEh24mKimTVqg2sXLmOiIiDWuuaNGkcVatWJzT0IL169WXfvlBpWkJCPN98M5TPP+9FaOghBg4cwrhxo7T6hOe7fPkiOTk5NG3q/sKxHz9+lJYtWxEWdhg3t6bMm/e0C0Dp0mVYsuQn9u2LoGfPL5gy5TsSExNf+nksXbqQu3fvsGbNRjZv3k5CQgKrV/8kTU9KekR6eho7duzl22+/Y968WaSmpgIwb94sDA0N2LVrH2PHTiQs7OlFkszMTIYNG4CnpxchIfuZOHE68+bN5M8/b0rzhIeH0b17L/bvP0pNccdTeIaeqSkuYyZQd8ESjMo4IDcwACD1d1HYTRAEQRDyvRcBua+vL0ePHuX8+fP89ttvHD16lIoVKxb3sARBeE9ZWlqRmpqCSqXi0KFw+vUbiJGRMXZ29gQGdiUsLC+wPnToAAEBn2JjY4uJiSmffdZTWkdsbCy//x5Nnz5foqurS61arlp3s/ftC6Vhw0Y0bOiGXC6nXr0GODtX5eTJ44XGk5qagqmp2UufS69Rw5WGDd1QKBS0bu3NjRvXpWktWrTE0tIKuVyOh0crypRx4OrVyy9cn0ajISRkO4MHj8DExBQjI2O6d+/JwYP7pXkUCh169OiDjo4ODRu6YWhoREzMHVQqFRERh+jdux8GBgaUK1ceLy8fabmoqEhsbe3w8fFDR0eHKlWcadashdZFDTe3ZtSs6YpcLkdfX/+FYxU+XKZVq9No7SYqftEfub4+WQlxRT5fLgiCIAgfIpGyLgjCv05iYgImJqakpCSTm5uLra2dNM3W1k7qa56YmIC1tW2BabZa6yhZ0gSDv+7aAVhb2xAfHwfkBeyHDx/k+PFIabpSqaR27cIp6/ljUSqVLwzKS5UqJf1sYGBATk62tMzevbvZvHkjsbF5BTAzMzNJSUl+4eeQnPyYrKwsevd+2plCo9GgVqul16amplpjMjAwIDMzg6SkJFQqldbnY21tI/0cG/uQ6OjLeHm5S++pVCpat/Yucn5BeBGZQoFjx87YNm9JQtQx5Lq6xT0kQRAEQXgviIBcEIT3yr17d6WCb8bGxlJwne/q1SskJMRTs6ardFc6NvYh5cqVByAuLhZLSysASpWyJD4+Vlo2Lu7pz5aWljx5kkpWVpYUlOcH4wA2Nja0bu3NqFHjXjpmF5ea6OnpERkZQfPmLV97n2NjHzJ79jQWLFiKi0sNFAoFPXp04WVNKU1NzdDX1+fnn7dgZWX9Wtu0sLBAoVAQHx+Hg0Ne+7SC+29tbYOrax0WLFjy3HUU1WNdEF5E36IUZXzbFfcwBEEQBOG98V6krAuCIOQbPPhLbt++hUqlQqlUsnjxAgDS09M4fjySCRPG0KpVGypUqIhCoaBFC09WrFhCRkY6sbEP2bx5g3QXt0ULT7Zu3Ux8fBypqamsX79W2o6trR1VqlRl1arl5ObmcvnyRY4fPypNb9WqDcePR3Lq1AlUKhXZ2dmcPXtaK2jNV6JECXr37se8ebM5ejSCrKwslEolJ04cZ8mSH166z5mZmchkMszNzQDYs2cXt27dfMlSIJfLadu2PUFB83j8OAnIe/b91KkTL11WoVDQrFkLVq1aQVZWFnfu3NZ6hrxx4ybcvRtDWNgelEolSqWSq1evcPv2rZeuWxAEQRAEQXg14g65IAjvlTt3bmulXD9+/BhPz6bI5TKcnMrTuXNX/P07StOHDv2aBQu+JyCgHXp6+rRt6y9VEW/b1p+7d+/Qo0cXjI2NCQzsxpkzv0nLTpgwlWnTJuLt7UG1atVp0aIVarUKABsbW2bMmMvSpUFMnDgWhUJO1arVGTFidJHjDgzshoVFKdauXcnkyeMwMjKmShVnunfv9dJ9Llcub7/69euFXC7Dy8uHGjVqvdLn1b//INas+Ym+fXuSkpKMlZUV/v6d+Pjjhi9ddtiwb5g+fSJ+fq1xcHCkZcvWXLuWV3DLyMiY+fMXsXDhfBYtmo9araFixUoMGjTslcYlCH9X6vVrRM+eRsa9e1g2aAjIMCpdBodOgVyZOYXkSxdALqeEUznq/rAUmVxOVmIC14Lm8vjCeRSGhjh+EohDx7yK7hqVitub8lqy5Tx+jFHZsrhOnY2BePRCEARBKEYyjeZlSZH/Ho8epaFWv9nuFGeTe+HVieP0/vu7x6hDBx9u376FWq1GLpfj5FTutVukvanx40fj6OhE79793sn2ilNRx2nJkiCSkh4xbtykYhqV8KwP9W+eOjeX490+waFTZ8q2/4SEY0e5NOU7nD79DI1aTe6TJzgPGQFASvRlzGrUAo2GU1/2xKpxU8p16U5WQjxnRwzCedg3WNZvwO3g9Tzct5eak6ZjVNaBtJs30LeyRs/U9G+N9UM9Rv824ji9/8Qx+ncozuMkl8soVapEsWz7bRIp64IgvFeCgpbh5FQOhUKBk1M5goKWvbVtXb16hfv376FWqzl5Mopjx47QpEmzt7a9982dO7e5ceM6Go2G6OjL7Nmzk6ZNmxf3sASBlOjLqJVKHDoFItfRmfsM3wAAIABJREFUwca9BSbO1QCQ6eiQk5RIVuxD5Do6mNd0RSaTkfp7NLnJyVT4vDdyXV2M7EtT2rcdcYfCAbi/ZxcVevfD2MERmUxGyYqV/nYwLghvqlOntri7NyA5Wbt4Z48eXXBzq8vDhw/e6vZzcnKYMWMyHTv64unZlJ49u3DixNMuIrdu/Unv3p/h5dUcL6/mDBnyFbdu/SlN12g0LFkShLe3B97eHixZ8gP/oXt8gvBOiZR1QRDeK2XKlH1nd8QfPXrE2LHf/JXqbcOIEd9SubLzO9n2+yAjI52JE8eSmJiAubkFgYHdPqgLEsL7KzsxEQNLK63CgQY2eR0BnAK7cnPNT5z9eggApX39Kde1O5lxsWQnJnLY52lhRY1ajVnNvMc/suLjMLIv/Q73QhBezM7OngMHwujUKRCAmzdvkJ395i0BX9bpo6C8Lhs2LFq0AhsbW06cOM748aNZty4YOzt7LC2tmDp1Fra2dqjVarZt+4WJE8ewdm0wADt3biMyMoI1azYik8kYNmwA9val8ffv9MbjF4QPlQjIBUH4YLm5NdXqPf6hqVq1Ops37yjuYQhCIXqlSpGVmIBGo5GC8qz4WIzsS6NjZEyVr4ZQ5ashpN36k9PDBmDiXBUDaxsM7Oxw27C1yHUaWNuQ8eA+JcpXeJe7IgjP1bq1N2FhoVJAvnfvbry8fPjxx6XSPDk5OaxYsYRDh8LJzc2laVN3Bg8ejr6+AWfPnmbKlPF07BjAli2bqFevPt99N4XIyAhWrlzBgwf3MTMzY/jwUTRo0Ehr24aGhlqPZzVu3AR7e3uuXbuKnZ09JUuWpGTJkkDe3XC5XM69e3el+cPC9hAY2E1qfxkY2JVdu3aIgFwQ3oBIWRcEQRAE4b1iVr0GcoWCu79uQa1UEnf0MKlXowFIiDpGxr27aDQadIyNkcnlyORyTJ2roWNszK2N61BlZ6FRqUj78yYpv+ctV9rHj5urlpN+LwaNRsOTm9fJSUkpzt0UPnDVq9cgPT1N6ixy6FC41CUk39KlC7l79w5r1mxk8+btJCQksHr1T9L0pKRHpKamsnVrCN98M5bo6MtMnTqBAQMGExZ2mMWLf8TOzv6lY0lKesTduzGUK6d9wcrLyx0Pj8YsWPA9n33WU3r/1q2bVKxYWXpdsWJlrZR2QRBenbhDLgiCIAjCe0Wuq0vNyTO5OmcGN1Yux7JBQ6ybugOQcf8uv/8wh5yUZHRLlKSsf0csan8EgOv0OfyxJIhjgR1Q5+ZiXNaBCn/dBXT85FPUOTmcHTmE3JQUjB0cqTVlVnHtoiAA+XfJ9+DqWgcHB0csLa2kaRqNhpCQ7axdG4zJ/9u787iq6vyP42/uZXVjEVBMf6ItpjmmiaaJ4oaAgCiZS6lpammWTabjVk5ormkuaZK5tZA2jluKC1i4lOa4UFNauQSmKQIioILm5d7fH053QkEZUw/k6/l49Hhwz/mec97f+03lc7/fc26lK8876NOnn2JiXtWgQS9IkhwcHNS//3NydnaWJK1fv1bh4Z3UpEkzSZKPj+8NM1gsFsXEvKbQ0HDVrOlfaN+mTVuVn5+vjRvXq2pVP/v2/Px8Vajw34drlS9fQfn5eYVWtQAoGQpyAABQ6rg/WFfNFn5gf/3d5PGSrhTWNZ/oWeQxrt4+ajBuQpH7HMxm1e7zjGqX4KsIgTslNDRcQ4YM1KlTvyg0NLzQvuzss7p48aL69+9l32az2Qp9NaiHh6dcXFzsr9PTT6t58xYlvr7VatWECa/JyclRw4aNLLKNm5ubOnd+XBERwYqLWyFPTy+5ubnpwoXz9jYXLlyQm1s5inHgJlCQAwAAAAaoWtVPfn7VtGvXTo0aNa7QPnd3D7m4uOjDD/9R7Ez31QWwr28V/fLLiRJd22azacqUCcrKytL06bOv+0A4q9WqixcvKiMjXZ6eXqpV614dOXJY9erVlyQdOXJItWrVLtF1ARTGPeQAAADAbXbixHFFR4erceOHlJ5+WpmZGZKk0aPHac6c+XJzcyvU3mQyKTKyi+bMeUtnz2ZJkjIy0rV7965irxEREaUNG9Zp795/yWq1KiMjXceOpRbZdvr0yUpNTdHUqTPl4uJaaN+ePV/p0KEfVFBQoAsXzmvu3JmqWLGiatasJUkKDe2oTz6JU0ZGujIzM7R8eZw6doy42bcGuKsxQw4AAEq9+qPH3bgRUIoNHTpIqakpslqtslgsmjdvlsLCInTPPdWLPWbw4Be1dOlCPftsv/98RaePOnfuqkcfbV5k+3r16mv06L/r7bff0smTJ+Xl5aVhw0Zec294WtoprV27Ss7OzoqKCrFvHzFijDp0CNO5c+c1c+abyshIl4uLix58sJ5mzHjbvjw+KupxnTz5i/r0ufKE+MjIKEVFPf4H3yHg7uRgs9lsRoe4Vc6cOS+r9ea64+NTURkZ525xItxqjFPpxxiVDYxT2cA4lX6MUdlQGsapceOHVFBQYH9tNpu1b98BAxOVLqVhjHBjRo6TyeSgypUr3LhhGcOSdQAAAOA2q1nTXybTlV+9TSbTNbPWAO5OFOQAAADAbTZnTqz8/WvJbDbL37+W5syJNToSgFKAe8gBAACA26x69RpatSre6BgAShlmyAEAAAAAMAAFOQAAAAAABqAgBwAAAADAABTkAAAAAAAYgIe6AQAAoMwLDm5p//nixYtycnKW2Xxl7mn8+PFq3rzNbblup04hmjBhqh5+uOFNn2Pnzi/04YdLdOTIYbm4uKh27XvVs2dvNW/e4hYmBVAaUZADAACgzEtM3GH/uWvXSI0c+aqaNHlUkuTjU1EZGeeMinZdCQkbNWPGFP31ryPUqlVrubq6KTl5n5KStvzPBbnFYpGjI7/eA2UJS9YBAADwp3fp0kXNmDFVUVEh6tKlo+bNmy2LxSJJ6t69s/bs+ep3bS8pJCRIqakpkqStWz9Tr15PKDS0tV566XkdP/6zJOnVV0fq7NksDRs2RMHBLbVixXJZLBaNHTtCkZEdFBraWi+++Jx+/jm1yEwWi0Vz587SwIGDFRYWofLlK8hsNisgoKlGjBgjSSooKNCiRe8qOjpckZEdNGlSjPLyLkiSjh1LVVDQo/r009WKjg7XiBEvXTevdGVG/5NP4tS7dzeFhAQpJuZVXb58WZJ09uxZvfLKUEVEtFdYWFuNGjVMmZmZt3AUAFyNghwAAAB/eosWvaujRw/r/fc/0aJFHyo5eZ/i4t6XJIWGhmvz5o32tl98sU01atSUv38t/fTTEU2cGKNhw0Zq3bpENWr0iEaNGiaLxaI33pgqT08vvfXWPCUm7tATT/SQJAUGBumTT9Zo7drNqlnTX2+88XqRmVJSjior64xat25fbO61a1fp888T9c47C7V8+SplZ5/V22/PtO8vKCjQwYPf6eOPV2rKlBnXzfubrVs/0+zZ87V8+RodPPidEhM3SZJsNqs6d47WypXrtWLFp5Kkt9+ecTNvN4ASoiAHAADAn15Cwib17/+cPDw85OVVWU8//Yw2b94g6UpBvmPHVl28eFGStHnzBoWEdJQkJSZuVqtWrfXIIwFycnJS7979lJOTrR9++L7I6zg6OiosLELlypWTi4uL+vUbqO+/P6BLly5d0zYnJ0cODg7y8vIqNndi4kb17NlbVav6qXz5Cho48HklJGyUzWaztxkwYJBcXV3l4uJaorzduj0pL6/K8vT0VPPmLXT48CFJkpdXZbVs2VouLq6qUKGCevXqp6+/3v8/vtMA/hfcZAIAAIA/NZvNpqysM6pa1c++rWpVP2VkZEiS/Pyq6f7762jHjq0KCHhU+/bt0ejR4yRJZ85kFjrObDbL29tXmZnpRV7LYrEoNnautm1LUk5OtkwmB9lsNuXm5sjHx7dQW3d39/9ky5K3t3eR58vMzLwm96VLl5SbmyNJMplM8vb2se8vSV4vr/9ey8XFVTk52ZKkvLwLmjVruvbu/ZfOnz8v6cpSfwC3DzPkAAAAKLNOnDiu6OhwNW78kKKjw3XixPFr2lyZha6stLRT9m2nT6fJx+e/hWxYWIQSEjbqs882q3HjJvL0vDJrXbmyd6HjCgoKlJmZLm9v3/+cu/C1NmxYpz17vtLbb8dq8+atiov7pyQVmtH+Ta1a98rLq7K2bfus2P55e3tfk9vFxUWVKrnb+/Z7N8p7PR9+uFQZGelauPADJSRs01tvzb3hMQD+GApyAAAAlFlDhw5SamqKCgoKlJqaoqFDBxXZrn37EC1Z8p5ycrJ19myW3n9/sTp0CLPvb9Omnf7976+1Zs1KhYSE27e3a9dB27dv1ddf75fFYtFHHy1VpUruevDBupIkT8/KOnnyhL19Xt4FOTs7q1Ild+Xn5+u99+YXm93R0VFDhryk996br02b4pWXd0FWq1XJyfs0ffoUe+7lyz9SWlqa8vIu6L333lFwcOg1hXhJ815Pfn6eXF1dVaFCRWVnZ+uDDxbd8BgAfwxL1gEAAFBmHTuWKqvVKkmyWq06dixVtWrVvqbdgAGDNHfuTPXu3V0ODg5q376Dnnrqafv+cuXKq0WLVvryy+0KDGxl337fffdr1KjX9Oabk3TmTKYeeOBBTZkyw/71Yn36PKO5c2dq9uzpGjhwsCIiOmvfvj2KigqRh4en+vUbqPXr1xabPySkoypUqKiPPlqiGTOmyMXFVbVr32vP1rlzV505c0aDBz+jy5cvq3nzFnrxxZeLPd+N8l5Pjx69FRMzVuHh7eTj46uuXXto9+5dNzwOwM1zsBW1fqaMOnPmvKzWm+tOaf5+SvwX41T6MUZlA+NUNjBOpR9jZLzo6HClpqbIarXKZDLJ37+WVq2KL9SmpOP07rvzdPZslkaNeu12xUUx+LNUNhg5TiaTgypXrmDItW8nlqwDAACgzJozJ1b+/rVkNpvl719Lc+bE3tR5zp49qw0b1qlTpy63OCEAFI8l6wAAACizqlevcc2M+P9q5cpPNH/+24qI6Kx69erfomQAcGMU5AAAALirPf54dz3+eHejYwC4C7FkHQAAAAAAA1CQAwAAAABgAApyAAAAAAAMQEEOAAAAAIABKMgBAAAAADAABTkAAAAAAAagIAcAAAAAwAAU5AAAAAAAGICCHAAAAAAAA1CQAwAAAABgAApyAACA3/nmm2T17BltdAwAwF2AghwAgLtU166R2rNnd6FtGzas0+DB/Q3JM3Hi61qw4J0StU1O3qfAwIDrtl+06F0FBT2q4OBWCg5upR49ovXWW1OVmZl53XM//HAjLVu26n/KDgDAzaAgBwAAt0RBQcEduY7FYtHs2TNUr179G7Zt166DEhO3a+PGzzVp0pvKyjqj/v17FVuUWyyWWx0XAIBiORodAAAAlF6pqSmaPn2yjhw5JG9vXw0aNESBgUGSrsxou7i4KC3tlL7+er8mT56hhISNcnV1U1raSX39dbL8/Wvp9dcn6p57qkuSjh1L1cyZ0/Tjjz/Iw8NDAwYMVrt2wVq7dpUSEjbKwcFBK1YsU6NGAZo2bWaRmZYt+0hNmz6qs2fPlrgfjo6Oql37XsXETNYzz/TS8uUf6YUX/qr9+/dqwoRxevzxbvrHP5apSZOmCg+P0oQJ47R69QZ9+OFS/fjjQb3xxjT7uWbNmi7Jpr/+dYTOnTunyZPH66uvvpSDg0kdO0aqf//nZDabb/5NBwDcNZghBwAARbJYLBo58mU1bdpM69Yl6uWXRygm5jX9/HOqvU1i4ib16fOMEhK2q0GDhpKkLVs2q1+/gdq48XNVr15DCxbMkyTl5+fr5ZeHKDg4VOvWJej11yfprbem6KefjioqKlodOoTpySf7KDFxR7HFeFraKcXHf6q+fQfeVJ/MZrNatgzSN98k27dlZZ1Rbm6u/vnPdfrb38YWah8cHKJdu77UhQvnJV1ZBZCUlKj27UMlSSNHjpTZbNby5Wu0ZEmc9uz5SuvWrbmpbACAuw8FOQAAd7ExY4YrNLS1/b8ZM6bY9x048K3y8/PVq1dfOTk5qXHjJnrssUAlJm62twkMDFKDBg1lMpnk4uIiSQoKaqN69erL0dFRHTqE6vDhQ5KknTt3qGpVP4WHd5Kjo6Pq1HlQQUFttXXrZyXOO2vWmxo4cJDKlSt303329vbWuXO59tcODg7q3/85OTs7y8XFtVDbqlX99MADD2r79q2SpP3798jFxVX16/9FWVlntH37dr300ityc3OTp6eXunV7Up99lnDT2QAAd5dSsWQ9JiZGu3btkrOzs8qVK6exY8fqL3/5i9GxAAD405s0abqaNHnU/nrDhnX2Gd7MzAz5+laRyfTfz++rVvVTZmaG/bWvb5VrzunlVdn+s4uLq/Lz8yVdmd0+ePA7hYa2tu8vKChQSEjHEmX94ovtysvLU7t2HUrWuWJkZGSoYsVK9tceHp72DxOKEhwcqi1bEhQWFqHExM0KDr4yO56WdkoWi0VRUaH2tlarrcj3BACAopSKgrxVq1YaM2aMnJyclJSUpJdffllbtmwxOhYAAHc1b28fpaefltVqtRflp0+nqUaN/7O3cXBwKPH5fH2rqGHDRzRrVtFPRr/Rufbt26MffvhenTqFSJLOnz8vs9mkn346oilT3ipRBqvVqi+/3KGAgKYlvm6bNu01d+4spaef1vbtSYqNXfKf/lSVs7Oz1q/fIkfHUvErFQCgjCkVS9bbtGkjJycnSVLDhg2VlpYmq9VqcCoAAP58Tpw4rujocDVu/JDS008Xmu2+Wr169eXq6qq4uA9ksVi0f/9effnlDrVvH3JT127RoqWOH/9ZmzbFy2KxyGKx6PvvDyg1NUWS5OnppZMnfyn2+IEDB2nZspVasiROS5bEKTCwlSIjO2vMmL/f8NoWi0WpqSl6/fWxyso6ox49nipxbk9PTzVq1FiTJsXIz6+a/P1rSbqy9L1FixaaO3eWLlw4L6vVql9+OaHk5H0lPjcA4O5W6j7OjYuLU+vWrQstjyupypUr/KFr+/hU/EPH485gnEo/xqhsYJzKhls9Tt26DVFqaoqsVqssFotiY99Wnz497fsrVnSVk5PZft0FC95VTEyM4uKWqkqVKnrzzWkKCLhyW5mrq5PKlXMulPHqbR4e5WQyOfzndUUtXbpEU6ZM0bx5s2Sz2VSnTh2NHj1aPj4V1afPk3rppZcUFtZGTZs21TvvXD2TXvi9cHevIC8vd917b/Ui+1q+vIs+/zxRX3yxTTabTb6+vnrssce0Zs1qValSpYh8KnZbdHSURo4cqREjRhTaPm3aNE2fPl19+nTXhQsXVKNGDQ0cOJA/X6UQY1L6MUZlA+N0aznYbDbb7b5Ily5ddPLkySL37dy50/7VIPHx8ZozZ47i4uLk7e39P1/nzJnzslpvrjs+PhWVkXHupo7FncM4lX6MUdnAOJUNt2OcGjd+qND3hZvNZu3bd+CWXuNuwp+lsoFxKv0Yo7LByHEymRz+8ARsaXRHZshXr159wzaJiYmaOXOmli5delPFOAAAuLGaNf3tM+Qmk0k1a/obHQkAgLtWqbiHPCkpSZMnT9aiRYtUvXrRy84AAMAfN2dOrPz9a8lsNsvfv5bmzIk1OhIAAHetUnEP+ejRo+Xk5KShQ4faty1dulSenp4GpgIA4M+nevUaWrUq3ugYAABApaQg/+qrr4yOAAAAAADAHVUqlqwDAAAAAHC3oSAHAAAAAMAAFOQAAAAAABiAghwAAAAAAANQkAMAAAAAYAAKcgAAAAAADEBBDgAAAACAASjIAQAAAAAwAAU5AAAAAAAGoCAHAAAAAMAAFOQAAAAAABiAghwAAAAAAANQkAMAAAAAYAAKcgAAAAAADEBBDgBAGXbq1EkFBgbIYrFIkl55Zag2blxvcCoAAFASFOQAABhs2LAXtHBh7DXbt2zZok6dQuzFdknMmDFHYWERfzjT/v171aVLxz98HgAAUDwKcgAADBYWFqHNmzfIZrMV2v7pp58qODhUjo6OBiUDAAC3EwU5AAAGa9WqtXJzc/TNN8n2bbm5uUpKSlJoaLh27vxC/fo9qQ4dghQdHa5Fi94t9lwvvPCs1q1bI0n65ZcTGjp0kDp2bKfw8HaKiXlV586ds7ft2jVSH3/8oZ5+uodCQoI0btxoXbp0Sfn5+Ro+/CVlZmYoOLilgoNbKjMz4/a9AQAA3KUoyAEAMJiLi6vatg3Wpk3x9m2ff56o2rVr6/77H5Crq6tefXW8Nm1K0rRps7RmzUpt3771hue12Wzq3buv1qzZqI8++qfS009r8eIFhdokJSVqxoy3tWLFpzp69LA2blwnNzc3TZ8+W97ePkpM3KHExB3y9va51d0GAOCuR0EOAEApEBoaoaSkLbp06aIkafPmeHXp0kWS9MgjAbr33vtkMpl03333q337EH399b4bnrN69Rpq0qSZnJ2d5enpqe7dn7rmuK5de8jb20eVKrmrRYuWOnz40K3vHAAAKBI3pQEAUAo8/HBDeXh4aseObapb9yF9//1BxcbOl80mHTjwnWJj31ZKylFdvnxZly9fVps27W54zrNnszRr1pv65puvlZeXJ5vNqooVKxVq4+VV2f6zi4urMjMzb3nfAABA0ZghBwCglAgNDdemTfHavHmDmjZtJm9vb0lSTMxYBQa20sqV8dq8eZuioh7XVc9/K1Js7FxJDnr//WVKSNim116bcM2D44rj4ODwB3oCAABKgoIcAACDnDhxXNHR4Wrc+CFFR4fr4Ycf0d69/9K6dWsUGvrfry7Ly8tTpUrucnFx0cGD3ykxcVOJzp+Xl6dy5cqpQoWKyshI17JlH5Q4m5dXZeXk5Oj8+fP/c78AAEDJUJADAGCQoUMHKTU1RQUFBUpNTdEbb4xT/foNlJ+fr8DAVvZ2r7wyUgsXxio4uJWWLl2otm3bl+j8/foN1I8//qDQ0NYaMeKvatWqbYmz1azpr/btO6hbtyiFhrbmKesAANwGDraSrl0rA86cOS+r9ea64+NTURkZ527cEIZinEo/xqhsYJxKh8aNH1JBQYH9tdls1r59B+yvGafSjzEqGxin0o8xKhuMHCeTyUGVK1cw5Nq3EzPkAAAYpGZNf5lMV/4pNplMqlnT39hAAADgjqIgBwDAIHPmxMrfv5bMZrP8/WtpzpxYoyMBAIA7iK89AwDAINWr19CqVfFGxwAAAAZhhhwAAAAAAANQkAMAAAAAYAAKcgAAAAAADEBBDgAAAACAASjIAQAAAAAwAAU5AAAAAAAGoCAHAAAAAMAAFOQAAAAAABiAghwAAAAAAANQkAMAAAAAYAAKcgAAAAAADEBBDgAAAACAASjIAQAAAAAwAAU5AAAAAAAGcDQ6wK1kMjkYejzuDMap9GOMygbGqWxgnEo/xqhsYJxKP8aobDBqnP6s/3842Gw2m9EhAAAAAAC427BkHQAAAAAAA1CQAwAAAABgAApyAAAAAAAMQEEOAAAAAIABKMgBAAAAADAABTkAAAAAAAagIAcAAAAAwAAU5AAAAAAAGICCHAAAAAAAA1CQAwAAAABgAAryIuzevVt169bVRx99ZHQUFGH+/PmKjIxU586dFRUVpQ0bNhgdCVeJiYlRaGioOnXqpB49eujbb781OhKKsHbtWkVGRqpevXr8fVfKpKSkqHv37goJCVH37t2VmppqdCRcZerUqWrbtq3q1KmjQ4cOGR0HRTh79qwGDhyokJAQRUZG6oUXXlBWVpbRsVCE559/Xp06dVLnzp315JNP6vvvvzc6Eooxd+5c/t67xRxsNpvN6BClyfnz59WvXz95eXmpZcuW6tWrl9GRcJVz586pYsWKkqTTp08rLCxMSUlJcnd3NzgZfpOUlKTAwEA5OTkpKSlJEydO1JYtW4yOhascOnRIJpNJCxYsUIMGDfj7rhTp06ePHn/8cUVFRWnt2rVauXKlPvjgA6Nj4Xf27t2re+65R0899ZRiY2P1wAMPGB0JV8nOztaPP/6oRx99VNKVD1FycnI0adIkg5Phar//3W7Lli2aN2+eVq9ebXAqXO3AgQOaOXOmjh49qnfffZe/924RZsivMmXKFPXv31+enp5GR0ExfvsLW5Ly8vLk4OAgq9VqYCJcrU2bNnJycpIkNWzYUGlpaYxRKfTAAw/ovvvuk8nEPwWlyZkzZ3Tw4EFFRERIkiIiInTw4EFm9kqZgIAA+fn5GR0D1+Hh4WEvxqUr/x6dPHnSwEQozu9/tzt//rwcHBwMTIOi/Prrrxo/frz+/ve/Mz63mKPRAUqTbdu2KTc3V6Ghodq6davRcXAdy5Yt0/vvv6+0tDRNmjSJD1BKsbi4OLVu3ZqiDyihU6dOqUqVKjKbzZIks9ksX19fnTp1Sl5eXganA8omq9WqZcuWqW3btkZHQTHGjh2rL7/8UjabTQsXLjQ6Dq4ye/ZsderUSTVq1DA6yp/OXVWQd+nSpdhPRjdt2qQZM2ZoyZIldzgVrna9cdq5c6fMZrN69uypnj176scff9Tw4cPVvHlzivI7qCRjJEnx8fFat26d4uLi7mQ8/EdJxwkA/uwmTJigcuXKcWtOKTZx4kRJ0po1azRt2jS99957BifCb5KTk/Xtt99q+PDhRkf5U7qrCvLr3Yuyd+9eZWRk6IknnpB05UEgSUlJys7O1gsvvHCnIkLXH6er1alTR76+vvrXv/6lkJCQ25gKv1eSMUpMTNTMmTO1dOlSeXt734FUuBr335VNfn5+On36tAoKCmQ2m1VQUKD09HSWRwM3aerUqTp27JhiY2NZrVUGdO7cWePGjdPZs2eZbCkl9uzZo59++knt2rWTJKWlpal///6aPHmyAgMDDU5X9t1VBfn1BAQEaNeuXfbXo0aNUv369fkktRQ6evSo7r33XknS8ePH9f333+u+++4zOBV+LykpSZMnT9aSJUtUvXp1o+MAZUrlypVVt25drV+IEXM/AAAJR0lEQVS/XlFRUVq/fr3q1q3LcnXgJsycOVPfffedFixYIGdnZ6PjoAgXLlxQbm6u/UPHzz//XO7u7vLw8DA4GX7z7LPP6tlnn7W/btu2LQ+zvIV4ynoxKMhLr5deeklHjhyRo6OjzGazBgwYoI4dOxodC7/TrFkzOTk5FSogli5dyifdpcz69es1bdo05ebmysnJSW5ublq8eDEfcJUCR48e1ahRo5Sbm6tKlSpp6tSpql27ttGx8DtvvPGGEhISlJmZKU9PT3l4eCg+Pt7oWPidw4cPKyIiQv7+/nJ1dZUkVa9eXfPmzTM4GX4vMzNTzz//vPLz82UymeTu7q6RI0fqoYceMjoaikFBfmtRkAMAAAAAYABupAEAAAAAwAAU5AAAAAAAGICCHAAAAAAAA1CQAwAAAABgAApyAAAAAAAMQEEOAPjTGjBggFavXv2HzrF3716FhITckjy9e/fWihUrbsm5AABA2edodAAAAEqqbdu2yszMlNlslpubm4KCgvTqq6+qfPnyRbZfuHDhH75mQECANm/e/IfPUxIpKSmaOXOmdu/eLYvFomrVqik6Olp9+vSR2Wy+IxmMNGrUKFWpUkUvv/xysW1mzZqlzz77TEePHtXgwYP14osv3sGEAADcWsyQAwDKlNjYWCUnJ2v16tX69ttvNX/+/Gva2Gw2Wa1WA9LdvJ9//lndunWTn5+f1q1bp3379mn27Nn67rvvdOHCBaPjlRo1a9bU8OHDFRQUZHQUAAD+MApyAECZVKVKFbVs2VKHDx+WdGU5+MyZM9WjRw89/PDDOn78eKEl4qtWrVLPnj01depUNWnSRG3bttW2bdvs58vOztbo0aMVGBioJk2a6Pnnn5ck7d69W61atbK3a9u2rd5991117NhRTZo00ejRo3Xp0iVJUk5Ojp577jk1a9ZMTZo00XPPPae0tLQS9WfOnDlq1KiRRo8eLV9fX0lS7dq1NWPGDFWqVEmS9Nlnnyk8PFwBAQHq3bu3jh49WijXwoULFRkZqYYNG2rMmDHKzMzUgAED1KhRI/Xt21c5OTmSpBMnTqhOnTr65JNPFBgYqMDAQC1evNh+rl9//VUTJ06075s4caJ+/fXXQu/H4sWL1bx5cwUGBmrlypWFjp06dapat26txx57TOPGjdPFixdveOwnn3yidevWadGiRWrUqJEGDRpU5PvUpUsXBQUFFbsqAgCAsoSCHABQJp06dUrbt29X3bp17dvWrl2rCRMmaP/+/apWrdo1x/z73/9WrVq19NVXX2nAgAEaO3asbDabJOlvf/ub8vPzFR8fr507d6pv377FXvu3wjExMVEpKSl65513JElWq1XR0dFKSkpSUlKSXFxcNH78+BL1Z9euXde9Vz0lJUWvvPKKxowZo127dqlVq1YaNGiQvVCWpISEBC1ZskSbN29WUlKSBg4cqGHDhmn37t2yWq368MMPC51z9+7dSkhI0KJFi7RgwQLt3LlTkjR//nx98803Wrt2rT799FN9++239j5KUmZmps6dO6ft27dr4sSJGj9+vL3Yf/PNN5WSkqI1a9YoISFB6enpmjdv3g2P7d69uyIjI9W/f38lJycrNja2RO8bAABlGQU5AKBMGTJkiAICAvTkk0+qSZMmhWZSu3Tpovvvv1+Ojo5ycnK65thq1aqpW7duMpvN6tKlizIyMpSZman09HRt375dMTExcnd3l5OTk5o2bVpshqeeekp+fn7y8PDQ4MGDFR8fL0ny9PRUSEiI3NzcVKFCBQ0ePFh79uwpUb+ys7Pl4+NT7P4NGzYoKChILVq0kJOTk/r376+LFy8qOTnZ3qZXr17y9vZWlSpVFBAQoAYNGqhevXpydnZWcHCwDh48eM17Wa5cOdWpU0fR0dFav369pCsfOAwZMkSVK1eWl5eXhgwZok8//dR+nKOjo4YMGSInJycFBQWpXLlySklJkc1m04oVKzRmzBh5eHioQoUKeu655+zvz/WOBQDgbsRD3QAAZcq8efP02GOPFbnPz8/vusd6e3vbf3Zzc5Mk5eXlKScnR+7u7nJ3dy9Rht9fp1q1akpPT5ck5efna/LkydqxY4d9xvjChQsqKCi44UPZPDw8lJGRUez+9PT0QrP+JpNJfn5+On36dJH9c3FxKfTa1dVVeXl5xfbjnnvu0aFDh4q81u/7+FtWR8f//grh5uamvLw8ZWVlKT8/X9HR0fZ9V9/PX9yxAADcjZghBwD8aTg4ONzUcVWrVlVOTo5yc3NL1P7UqVP2n0+ePGm/53vx4sVKSUnRP/7xD+3fv19xcXGSZF8Wfz3NmzdXQkJCsft9fX118uRJ+2ubzaZTp06pSpUqJcpclOL6cfW1Tp06Zd93PZ6ennJ1dVV8fLz27t2rvXv3at++fYVm8a/nZscPAICyioIcAHDX8/X1VatWrRQTE6OcnBxdvnz5ukvNP/74Y6WlpSk7O9v+gDfpymy4i4uLKlWqpOzsbM2dO7fEGYYOHark5GRNnTrVPlN+7NgxDR8+XLm5uQoLC9O2bdu0a9cuXb58WYsXL5azs7MaNWp00/1+5513lJ+fr8OHD2vVqlX2foSHh2v+/PnKyspSVlaW5s2bp8jIyBuez2Qy6YknntCkSZN05swZSdLp06e1Y8eOEuWpXLmyTpw4cd02ly9f1qVLl2Sz2WSxWHTp0iUVFBSU6PwAAJQ2FOQAAEiaNm2aHB0dFRYWpscee0zvv/9+sW0jIiL0zDPPqH379qpRo4YGDx4sSXr66ad16dIlNWvWTN27d1fLli1LfP3/+7//0/Lly/XLL78oIiJCjRs31osvvqj69eurfPnyql27tt58801NmDBBzZo1U1JSkmJjY+Xs7HzTfW7atKmCg4PVt29fPfPMMwoMDJQkPf/886pfv746deqkTp066aGHHrI/df5GRowYoZo1a6pbt2565JFH1Ldv3xLfI961a1cdOXJEAQEBxV7vtddeU4MGDbR+/XrFxsaqQYMGWrt2bck6DABAKeNgK8k6OgAAIOnK14u98cYbxd7HXhacOHFC7dq104EDBwrdzw0AAO4sZsgBAAAAADAABTkAAAAAAAZgyToAAAAAAAZghhwAAAAAAANQkAMAAAAAYAAKcgAAAAAADEBBDgAAAACAASjIAQAAAAAwwP8D2VO5e4/crvgAAAAASUVORK5CYII=\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# to plot vectors from the center\n",
"vecs = pca.components_[0:10].T *2\n",
"\n",
"fig, ax = plt.subplots(figsize=(16,8))\n",
"ax.plot(quant_df_pca[:,0], quant_df_pca[:,1], 'ok', markersize=4)\n",
"ax.set_xlabel('Principal Component 1')\n",
"ax.set_ylabel('Principal Component 2')\n",
"ax.set_title('Cars Dataset plotted using first 2 Principal Components', fontsize=20)\n",
"\n",
"# plotting arrowheads of the original axes projected on the 2D PCA space\n",
"for i, vec in enumerate(vecs):\n",
" ax.arrow(0,0,vec[0],vec[1], color='brown', head_width=0.1)\n",
" s = 1.3\n",
" ax.annotate(quant_df.columns[i], (s*vec[0], s*vec[1]), color='brown')\n",
"\n",
"# annotating text\n",
"for i, txt in enumerate(cars_df_scaled['model']):\n",
" ax.annotate(txt, (quant_df_pca[:,0][i], quant_df_pca[:,1][i]), size=12)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Any patterns of interest?** Let us examine the geography more closely. Source: [this blog](https://www.datacamp.com/community/tutorials/pca-analysis-r). "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"country = [\"Japan\", \"US\", \"EU\", \"US\", \"EU\", \"Japan\", \"US\", \"EU\", \"US\", \"EU\"]\n",
"times = [3, 4, 7, 3, 1, 3, 4, 3, 1, 3]\n",
"country_list = np.array(sum(([x]*y for x,y in zip(country, times)),[]))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(16,8))\n",
"\n",
"# main plot\n",
"ax.plot(quant_df_pca[:,0], quant_df_pca[:,1], 'ok', markersize=4)\n",
"ax.set_xlabel('Principal Component 1')\n",
"ax.set_ylabel('Principal Component 2')\n",
"ax.set_title('Cars Dataset plotted using first 2 Principal Components', fontsize=20)\n",
"\n",
"# plotting arrowheads\n",
"for i, vec in enumerate(vecs):\n",
" ax.arrow(0,0,vec[0],vec[1], color='brown', head_width=0.05)\n",
" s = 1.3\n",
" ax.annotate(quant_df.columns[i], (s*vec[0], s*vec[1]), color='brown')\n",
"\n",
"# plotting names\n",
"cs = [sns.xkcd_rgb[\"magenta\"], sns.xkcd_rgb[\"denim blue\"], sns.xkcd_rgb[\"medium green\"]]\n",
"colors = {\"Japan\": cs[0], \"US\": cs[1], \"EU\": cs[2]}\n",
"\n",
"# dummy plots to show up in the legend\n",
"ax.plot(0,0, color=cs[0], label='Japan')\n",
"ax.plot(0,0, color=cs[1], label='US')\n",
"ax.plot(0,0, color=cs[2], label='EU')\n",
"\n",
"# plotting text with color\n",
"for i, txt in enumerate(cars_df_scaled['model']):\n",
" country = country_list[i]\n",
" ax.annotate(txt, (quant_df_pca[:,0][i], quant_df_pca[:,1][i]), color=colors[country], size=12)\n",
" \n",
"ax.legend(fontsize=15);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What patterns do you see now?\n",
"\n",
"For example, looking at the axes, we see that the American cars are characterized by high values for number of *cyl*, *disp*, and *wt*. Thus they are more powerful and heavier cars. Japanese cars, on the other hand, are characterized by higher fuel efficieny (*mpg*). European cars are somewhat in the middle and less tightly clustered than either group, but are average more efficient than American cars\n",
"\n",
"**We can draw conclusions visually. Not any modeling so far.**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Addressing `n_components`\n",
"\n",
"PCA takes in 1 parameter: `n_components`. This defines the number of principal components that PCA will use. By default, the number of the used principal components is the minimum of the number of rows and the number of columns in the dataset `min(p, n) `. This is the maximum number of dimensions that PCA transform is allowed to use; For more details check the advanced section. \n",
"\n",
"**Note**: Setting the default parameter for `n_components` and taking the top k principal components is equivalent to setting `n_components=k`. The former is computationally more expensive though. Let's check this."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"True\n"
]
}
],
"source": [
"old_components = pca.components_[0:2]\n",
"\n",
"# doing pca with 2 components\n",
"pca2 = PCA(n_components=2).fit(quant_df)\n",
"\n",
"new_components = pca2.components_\n",
"\n",
"# checking equivalence\n",
"print(new_components.all() == old_components.all())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Break Out Room 1\n",
"\n",
"**Visualizing high-dimensional data in a 2D plot**\n",
"\n",
"- Perform PCA\n",
"- Explore the \"Explained Variance Ratio\" \n",
"- Keep the first two principal components and visualize the data in this low-dimensional 2D space.\n",
"- Explore the \"cumulative explained variance ratio\"\n",
"\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 145,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"classes ['setosa' 'versicolor' 'virginica']\n",
"predictors ['sepal length (cm)', 'sepal width (cm)', 'petal length (cm)', 'petal width (cm)']\n"
]
}
],
"source": [
"dataset = datasets.load_iris()\n",
"print('classes ', dataset.target_names)\n",
"print('predictors', dataset.feature_names)"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {},
"outputs": [],
"source": [
"# pd.DataFrame(dataset.data).describe()"
]
},
{
"cell_type": "code",
"execution_count": 147,
"metadata": {},
"outputs": [],
"source": [
"iris_scaled = StandardScaler().fit_transform(dataset.data)"
]
},
{
"cell_type": "code",
"execution_count": 148,
"metadata": {},
"outputs": [],
"source": [
"# pd.DataFrame(iris_scaled).describe()"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {},
"outputs": [],
"source": [
"# %load '../solutions/breakout_1_sol.py'\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As a reminder here is a plot from Section 5, where we outlined the data by using two predictors. Think about the difference between LASSO and PCA as dimensional reduction methods.\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# PCA to speed up classification of Handwritten Digits\n",
"\n",
"This example, using the [MNIST dataset](http://yann.lecun.com/exdb/mnist/), was borrowed from this [Towards Data Science blog post](https://towardsdatascience.com/pca-using-python-scikit-learn-e653f8989e60). In this example, we will be classifying hand-written digits.\n",
"\n",
"## Data Loading and EDA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### IMPORTANT: Unless you have the \"TF version 2.0.0\" try the following\n",
"```pip install --upgrade pip```\n",
"\n",
"```pip install tensorflow==2.0.0 ```\n",
"\n",
"```pip3 install keras```\n",
"\n",
"**OR**\n",
"\n",
"```conda install tensorflow=2.0.0```\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Verify the installation by displaying the package information:"
]
},
{
"cell_type": "code",
"execution_count": 200,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Name: Keras\n",
"Version: 2.3.0\n",
"Summary: Deep Learning for humans\n",
"Home-page: https://github.com/keras-team/keras\n",
"Author: Francois Chollet\n",
"Author-email: francois.chollet@gmail.com\n",
"License: MIT\n",
"Location: /home/marios/anaconda3/envs/cs109a/lib/python3.7/site-packages\n",
"Requires: six, scipy, keras-applications, pyyaml, h5py, numpy, keras-preprocessing\n",
"Required-by: \n"
]
}
],
"source": [
"! pip3 show keras"
]
},
{
"cell_type": "code",
"execution_count": 117,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(60000, 28, 28) (60000,) (10000, 28, 28) (10000,)\n"
]
}
],
"source": [
"# we'll use keras a lot more in the last few weeks of the course\n",
"from keras.datasets import mnist\n",
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"print(x_train.shape, y_train.shape, x_test.shape, y_test.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### An alternative way to load the MNIST dataset"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Archive: mnist.zip\n",
" inflating: mnist.pickle \n",
"(60000, 28, 28) (60000,) (10000, 28, 28) (10000,)\n"
]
}
],
"source": [
"# unzip the minst.zip file\n",
"! unzip mnist.zip\n",
"\n",
"#the data are saved in a dictionary with pickle. You can import the data as follows:\n",
"import pickle\n",
"\n",
"with open('mnist.pickle', 'rb') as handle:\n",
" mnist_data = pickle.load(handle)\n",
"(x_train, y_train), (x_test, y_test) = mnist_data[\"data\"]\n",
"\n",
"print(x_train.shape, y_train.shape, x_test.shape, y_test.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our training set (`x_train`) contains 60000 images of size 28 by 28. Our training labels (`y_train`) are numbers from 0 to 9. Let's examine one of these values below."
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5\n"
]
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"print(y_train[0])\n",
"fig, ax = plt.subplots()\n",
"ax.grid(None)\n",
"ax.imshow(x_train[0], cmap='gray');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Our task** is to classify the test set digits as accurately as possible."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The shape of the training set is $6000 \\times 28 \\times 28$. We have not dealt with 3D arrays before. We will deal with images in greater detail (and not only!!!) in the follow-up course, `CS109b`, if you are interested in doing more of this kind of stuff you should take this course. For now, we will **reshape** the array into a 2D array of shape $6000\\times 784$."
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(60000, 784) (60000,) (10000, 784) (10000,)\n"
]
}
],
"source": [
"x_train = x_train.reshape(x_train.shape[0], 784)\n",
"x_test = x_test.reshape(x_test.shape[0], 784)\n",
"\n",
"# check if the shapes are ok\n",
"print(x_train.shape, y_train.shape, x_test.shape, y_test.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Normalizing Data\n",
"\n",
"Image data is usually between 0 and 255 (0 indicates a black pixel and 255 indicates a white pixel). We can normalize these values by dividing by 255.\n",
"\n",
"Why do we prefer normalization instead of standardization in this case? "
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0 255 0 255\n",
"0.0 1.0 0.0 255.0\n"
]
}
],
"source": [
"# checking the min and max of x_train and x_test\n",
"print(x_train.min(), x_train.max(), x_test.min(), x_test.max())\n",
"\n",
"x_train = (x_train - x_train.min())/(x_train.max() - x_train.min()) \n",
"x_test = (x_test - x_train.min())/(x_train.max() - x_train.min()) \n",
"\n",
"print(x_train.min(), x_train.max(), x_test.min(), x_test.max())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Modeling using Logistic Regression"
]
},
{
"cell_type": "code",
"execution_count": 90,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Time to fit: 13.416306972503662s\n"
]
}
],
"source": [
"start = time()\n",
"#‘lbfgs’ solver handles multinomial loss in multiclass problems \n",
"logreg_model = LogisticRegression(solver='lbfgs').fit(x_train, y_train)\n",
"end = time()\n",
"\n",
"full_logreg_time = end-start\n",
"print('Time to fit: {}s'.format(full_logreg_time))"
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training Set Score: 0.9350666666666667\n",
"Test Set Score: 0.8699\n"
]
}
],
"source": [
"y_preds_train = logreg_model.predict(x_train)\n",
"y_preds_test = logreg_model.predict(x_test)\n",
"\n",
"full_logreg_score_train = accuracy_score(y_train, y_preds_train)\n",
"full_logreg_score_test = accuracy_score(y_test, y_preds_test)\n",
"\n",
"# Evaluation\n",
"print('Training Set Score: {}'.format(full_logreg_score_train))\n",
"print('Test Set Score: {}'.format(full_logreg_score_test))"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [
{
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"
6
\n",
"
1010
\n",
"
\n",
"
\n",
"
4
\n",
"
3
\n",
"
0
\n",
"
5
\n",
"
3
\n",
"
874
\n",
"
0
\n",
"
12
\n",
"
1
\n",
"
35
\n",
"
49
\n",
"
982
\n",
"
\n",
"
\n",
"
5
\n",
"
17
\n",
"
1
\n",
"
1
\n",
"
81
\n",
"
7
\n",
"
410
\n",
"
18
\n",
"
3
\n",
"
338
\n",
"
16
\n",
"
892
\n",
"
\n",
"
\n",
"
6
\n",
"
13
\n",
"
2
\n",
"
3
\n",
"
3
\n",
"
5
\n",
"
1
\n",
"
918
\n",
"
1
\n",
"
12
\n",
"
0
\n",
"
958
\n",
"
\n",
"
\n",
"
7
\n",
"
4
\n",
"
4
\n",
"
20
\n",
"
17
\n",
"
8
\n",
"
0
\n",
"
0
\n",
"
839
\n",
"
28
\n",
"
108
\n",
"
1028
\n",
"
\n",
"
\n",
"
8
\n",
"
6
\n",
"
1
\n",
"
2
\n",
"
12
\n",
"
5
\n",
"
1
\n",
"
5
\n",
"
1
\n",
"
939
\n",
"
2
\n",
"
974
\n",
"
\n",
"
\n",
"
9
\n",
"
10
\n",
"
1
\n",
"
0
\n",
"
8
\n",
"
12
\n",
"
0
\n",
"
0
\n",
"
0
\n",
"
40
\n",
"
938
\n",
"
1009
\n",
"
\n",
"
\n",
"
All
\n",
"
1037
\n",
"
1038
\n",
"
914
\n",
"
1068
\n",
"
917
\n",
"
413
\n",
"
979
\n",
"
858
\n",
"
1653
\n",
"
1123
\n",
"
10000
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
"Predicted 0 1 2 3 4 5 6 7 8 9 All\n",
"Actual \n",
"0 968 0 0 2 0 0 4 1 5 0 980\n",
"1 0 1025 2 4 0 0 3 2 99 0 1135\n",
"2 11 4 872 22 5 0 16 3 95 4 1032\n",
"3 5 0 9 916 1 1 3 7 62 6 1010\n",
"4 3 0 5 3 874 0 12 1 35 49 982\n",
"5 17 1 1 81 7 410 18 3 338 16 892\n",
"6 13 2 3 3 5 1 918 1 12 0 958\n",
"7 4 4 20 17 8 0 0 839 28 108 1028\n",
"8 6 1 2 12 5 1 5 1 939 2 974\n",
"9 10 1 0 8 12 0 0 0 40 938 1009\n",
"All 1037 1038 914 1068 917 413 979 858 1653 1123 10000"
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# get performance by class \n",
"pd.crosstab(y_test, y_preds_test, margins=True, rownames=['Actual'], colnames=['Predicted'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We get a high training and test set score but it takes a relatively long time to fit a model. Let us see if we can speed things up when using PCA"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Logistic Regression Model after PCA"
]
},
{
"cell_type": "code",
"execution_count": 140,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Do PCA onto our training set and inspect\n",
"pca = PCA(n_components=100).fit(x_train)\n",
"\n",
"fig, ax = plt.subplots(ncols=2, figsize=(20,6))\n",
"ax1, ax2 = ax.ravel()\n",
"\n",
"ratio = pca.explained_variance_ratio_\n",
"ax1.plot(range(1,len(ratio)+1), ratio, 'o-')\n",
"ax1.set_title('Explained Variance Ratio PCA', fontsize=20)\n",
"ax1.set_ylabel('Explained Variance Ratio')\n",
"\n",
"ratio = pca.explained_variance_ratio_\n",
"ax2.plot(range(1,len(ratio)+1), np.cumsum(ratio), 'o-')\n",
"ax2.set_title('Cumulative Sum of Explained Variance Ratio PCA', fontsize=20)\n",
"ax2.set_ylabel('Cumulative Sum of Explained Variance Ratio');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see that the first 100 principal components hold over 90% of the variance and the first 50 principal components hold over 80% of the variance! We have significantly reduced the dimensionality of our problem! Let us use PCA to find the first 100 principal components of our dataset and transform our `x_train` and `x_test` accordingly."
]
},
{
"cell_type": "code",
"execution_count": 124,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(60000, 100) (10000, 100)\n"
]
}
],
"source": [
"x_train_pca = pca.transform(x_train)\n",
"x_test_pca = pca.transform(x_test)\n",
"\n",
"print(x_train_pca.shape, x_test_pca.shape)"
]
},
{
"cell_type": "code",
"execution_count": 125,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Time to fit model (100 PCs): 3.536935567855835s\n",
"Time to fit model (full dataset): 13.416306972503662s\n",
"So to fit the model with the full dataset is about 4.0 times slower than using PCA\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"start = time()\n",
"logreg_model_pca = LogisticRegression(solver='lbfgs').fit(x_train_pca, y_train)\n",
"end = time()\n",
"\n",
"print('Time to fit model (100 PCs): {}s'.format(end-start))\n",
"print('Time to fit model (full dataset): {}s'.format(full_logreg_time))\n",
"print('So to fit the model with the full dataset is about', np.round(full_logreg_time/(end-start),0), ' times slower than using PCA')\n",
"\n",
"fig, ax = plt.subplots(figsize=(10, 5))\n",
"ax.bar(0, full_logreg_time, width=0.5)\n",
"ax.bar(1, end-start, width=0.5)\n",
"ax.set_xlabel('Model')\n",
"ax.set_xticks([0,1])\n",
"ax.set_xticklabels(['Full Dataset', '100 PCs'])\n",
"ax.set_ylabel('Time to Fit Model (s)')\n",
"ax.set_title('Time taken to fit different models (s)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Note:** The time taken to fit our model is considerably smaller! Now let us check our accuracy"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Training Set Score (100 PCs): 0.9221\n",
"Test Set Score (100 PCs): 0.8543\n",
"\n",
"Training Set Score (full dataset): 0.9350666666666667\n",
"Test Set Score (full dataset): 0.8699\n"
]
}
],
"source": [
"y_preds_train_pca = logreg_model_pca.predict(x_train_pca)\n",
"y_preds_test_pca = logreg_model_pca.predict(x_test_pca)\n",
"\n",
"# Evaluation\n",
"print('Training Set Score (100 PCs): {}'.format(accuracy_score(y_train, y_preds_train_pca)))\n",
"print('Test Set Score (100 PCs): {}\\n'.format(accuracy_score(y_test, y_preds_test_pca)))\n",
"\n",
"print('Training Set Score (full dataset): {}'.format(full_logreg_score_train))\n",
"print('Test Set Score (full dataset): {}'.format(full_logreg_score_test))"
]
},
{
"cell_type": "code",
"execution_count": 127,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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1010
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"text/plain": [
"Predicted 0 1 2 3 4 5 6 7 8 9 All\n",
"Actual \n",
"0 968 0 0 1 0 0 4 1 6 0 980\n",
"1 0 1003 1 4 0 0 4 1 121 1 1135\n",
"2 16 5 850 17 7 0 14 5 112 6 1032\n",
"3 6 1 6 901 0 0 2 6 84 4 1010\n",
"4 3 0 3 2 889 0 11 1 37 36 982\n",
"5 35 1 4 77 12 320 22 3 407 11 892\n",
"6 24 2 5 1 7 1 906 1 11 0 958\n",
"7 4 3 17 15 8 0 0 865 30 86 1028\n",
"8 5 0 0 13 4 0 4 1 946 1 974\n",
"9 10 3 0 6 31 0 0 3 61 895 1009\n",
"All 1071 1018 886 1037 958 321 967 887 1815 1040 10000"
]
},
"execution_count": 127,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# get performance by class \n",
"pd.crosstab(y_test, y_preds_test_pca, margins=True, rownames=['Actual'], colnames=['Predicted'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Not a significant drop in accuracy!! But, since we are losing information by not accounting for all the variance, we are faced with a speed accuracy tradeoff. \n",
"You should explore the case of keeping less principal components."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting PCA\n",
"\n",
"### Plotting the Reconstructed Image"
]
},
{
"cell_type": "code",
"execution_count": 138,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n",
"ax1, ax2 = ax.ravel()\n",
"\n",
"ax1.imshow(x_train[0].reshape(28,28), cmap='gray')\n",
"ax1.grid(None)\n",
"ax1.set_title('Original Image with 784 components')\n",
"\n",
"ax2.imshow(x_train_pca[1].reshape(10,10), cmap='gray')\n",
"ax2.grid(None)\n",
"ax2.set_title('Image after PCA with 100 components')\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Uhhh... this is terrible. But we can use PCA to carry out an inverse transform in order to get a reconstructed image. Let's try again, using `pca.inverse_transform()`! Source: [this github repo](https://github.com/mGalarnyk/Python_Tutorials/blob/master/Sklearn/PCA/PCA_Image_Reconstruction_and_such.ipynb) "
]
},
{
"cell_type": "code",
"execution_count": 144,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"img_reconstructed = pca.inverse_transform(x_train_pca[0])\n",
"\n",
"fig, ax = plt.subplots(nrows=1, ncols=2, figsize=(8, 4))\n",
"ax1, ax2 = ax.ravel()\n",
"\n",
"ax1.imshow(x_train[0].reshape(28,28), cmap='gray')\n",
"ax1.grid(None)\n",
"ax1.set_title('Original Image with 784 components')\n",
"\n",
"ax2.imshow(img_reconstructed.reshape(28,28), cmap='gray')\n",
"ax2.grid(None)\n",
"ax2.set_title('Reconstructed Image after PCA with 100 components')\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plotting all our points on a 2-dimensional plot given by the first 2 principal components of PCA\n",
"\n",
"This [towards data science article](https://towardsdatascience.com/visualising-high-dimensional-datasets-using-pca-and-t-sne-in-python-8ef87e7915b) has a few similar plots that are pretty cool!"
]
},
{
"cell_type": "code",
"execution_count": 142,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(60000, 2)\n"
]
}
],
"source": [
"pca_2 = PCA(n_components=2).fit(x_train)\n",
"x_train_2 = pca_2.transform(x_train)\n",
"print(x_train_2.shape)"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(16,8))\n",
"for i in range(10):\n",
" indices = np.where(y_train == i)[0]\n",
" data = x_train_2[indices]\n",
" ax.plot(data[:,0], data[:,1], 'o', label='{}'.format(i), alpha=0.5)\n",
"ax.set_title('First 2 Principal Components of MNIST Data', fontsize=20)\n",
"ax.set_xlabel('Principal Component 1')\n",
"ax.set_ylabel('Principal Component 2')\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Any patterns of interest?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Break Out Room 2\n",
"Lets perform classification by using reduced dimensional data-space.\n",
"\n",
"Specifically compare the classification score when we use: (a) all the predictors; (b) 2 of the original predictors; (c) 2 principal components as predictors."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Use all the 4 predictors"
]
},
{
"cell_type": "code",
"execution_count": 132,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Shapes for X and y training sets: (90, 4) (90,)\n",
"Shapes for X and y testing sets: (60, 4) (60,)\n",
"Training Set Accuracy: 98.88888888888889%\n",
"Testing Set Accuracy: 98.33333333333333%\n"
]
}
],
"source": [
"X_train, X_test, y_train_iris, y_test_iris = train_test_split(iris_scaled, dataset.target , test_size=0.4, random_state=42)\n",
"print('Shapes for X and y training sets:', X_train.shape, y_train_iris.shape)\n",
"print('Shapes for X and y testing sets:', X_test.shape, y_test_iris.shape)\n",
"\n",
"#Training\n",
"model_logistic = LogisticRegression(C=100).fit(X_train, y_train_iris)\n",
"\n",
"#Predict\n",
"y_pred_train = model_logistic.predict(X_train)\n",
"y_pred_test = model_logistic.predict(X_test)\n",
"\n",
"#Performance Evaluation\n",
"train_score = accuracy_score(y_train_iris, y_pred_train)*100\n",
"test_score = accuracy_score(y_test_iris, y_pred_test)*100\n",
"\n",
"print(\"Training Set Accuracy:\",str(train_score)+'%')\n",
"print(\"Testing Set Accuracy:\",str(test_score)+'%')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Use the 2 predictors"
]
},
{
"cell_type": "code",
"execution_count": 133,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Shapes for X and y training sets: (90, 2) (90,)\n",
"Shapes for X and y testing sets: (60, 2) (60,)\n",
"Training Set Accuracy: 78.88888888888889%\n",
"Testing Set Accuracy: 85.0%\n"
]
}
],
"source": [
"# Choose the first two predictors (sepal length and sepal width)\n",
"iris_2predictors = iris_scaled[:,0:2]\n",
"X_train, X_test, y_train_iris, y_test_iris = train_test_split(iris_2predictors, dataset.target , test_size=0.4, random_state=42)\n",
"print('Shapes for X and y training sets:', X_train.shape, y_train_iris.shape)\n",
"print('Shapes for X and y testing sets:', X_test.shape, y_test_iris.shape)\n",
"\n",
"#Training\n",
"model_logistic = LogisticRegression(C=100).fit(X_train, y_train_iris)\n",
"\n",
"#Predict\n",
"y_pred_train = model_logistic.predict(X_train)\n",
"y_pred_test = model_logistic.predict(X_test)\n",
"\n",
"#Perfromance Evaluation\n",
"train_score = accuracy_score(y_train_iris, y_pred_train)*100\n",
"test_score = accuracy_score(y_test_iris, y_pred_test)*100\n",
"\n",
"print(\"Training Set Accuracy:\",str(train_score)+'%')\n",
"print(\"Testing Set Accuracy:\",str(test_score)+'%')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Use all the 2 principal componets as predictors\n",
"\n",
"- Perform a PCA transform with 2 principal components\n",
"- Use the 2 principal components for a logistic regression\n",
"- Print the score for the training and testing sets\n",
"- Compare with the previous two cases"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {},
"outputs": [],
"source": [
"# Your code here\n"
]
},
{
"cell_type": "code",
"execution_count": 137,
"metadata": {},
"outputs": [],
"source": [
"# %load '../solutions/breakout_2_sol.py'\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Should I always use PCA?\n",
"\n",
"\n",
"PCA is **great** for:\n",
"1. Speeding up the training of a model without significantly decreasing the predictive ability relative to a model with all p predictors.\n",
"2. Visualizing how predictive your features can be of your response, especially in the case of classification.\n",
"3. Reducing multicollinearity, and thus potentially improving the computational time required to fit models.\n",
"4. Reducing dimensionality in very high dimensional settings.\n",
"\n",
"PCA is **not so good** in certain situations because:\n",
"1. Interpretation of coefficients in PCA is completely lost. So do not do PCA if interpretation is important.\n",
"3. When the predictors' distribution deviates significantly from a multivariable Normal distribution.\n",
"4. When the high variance does not indicate high importance.\n",
"5. When the hidden dimensions are not orthonormal.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Assumptions of PCA\n",
"\n",
"- **Linear change of basis:** PCA is a linear transformation from a Euclidean basis (defined by the original predictors) to an abstract orthonormal basis. Hence, PCA assumes that such a linear change of basis is sufficient for identifying degrees of freedom and conducting dimensionality reduction\n",
"\n",
"\n",
"- **Mean/variance are sufficient (data are approximately multi-variate gaussian):** \n",
"In applying PCA to our data, we are only using the means (for standardizing) and the covariance matrix that are associated with our predictors. Thus, PCA assumes that such statistics are sufficient for describing the distributions of the predictor variables. This is true only if the predictors are drawn jointly from a multivariable Normal distribution. When the predictor distributions heavily violate this assumption, PCA components may not be as informative.\n",
"\n",
"\n",
"- **High variance indicates high importance:** This fundamental assumption is intuitively reasonable, since components corresponding to low variability likely say little about the data, but this is not always true.\n",
"\n",
"\n",
"- **Principal components are orthogonal:** PCA explicitly assumes that *intrinsic (abstract) dimensions* are orthogonal, which may not be true. However, this allowes us to use techniques from linear algebra such as the spectral decomposition and thereby, simplify our calculations."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"----------------\n",
"### End of Standard Section\n",
"---------------"
]
}
],
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