diff --git a/notebooks/01-Preliminaries.ipynb b/notebooks/01-Preliminaries.ipynb
index b28905d..0d2164a 100644
--- a/notebooks/01-Preliminaries.ipynb
+++ b/notebooks/01-Preliminaries.ipynb
@@ -1,206 +1,183 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:e15002059f80bd12a6b29c25b2179198b517b5b98da80bcfa018729797f25aea"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# An Introduction to scikit-learn: Machine Learning in Python"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Goals of this Tutorial"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "- **Introduce the basics of Machine Learning**, and some skills useful in practice.\n",
+ "- **Introduce the syntax of scikit-learn**, so that you can make use of the rich toolset available."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Schedule:"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Preliminaries: Setup & introduction** (15 min)\n",
+ "* Making sure your computer is set-up\n",
+ "\n",
+ "**Basic Principles of Machine Learning and the Scikit-learn Interface** (45 min)\n",
+ "* What is Machine Learning?\n",
+ "* Machine learning data layout\n",
+ "* Supervised Learning\n",
+ " - Classification\n",
+ " - Regression\n",
+ " - Measuring performance\n",
+ "* Unsupervised Learning\n",
+ " - Clustering\n",
+ " - Dimensionality Reduction\n",
+ " - Density Estimation\n",
+ "* Evaluation of Learning Models\n",
+ "* Choosing the right algorithm for your dataset\n",
+ "\n",
+ "**Supervised learning in-depth** (1 hr)\n",
+ "* Support Vector Machines\n",
+ "* Decision Trees and Random Forests\n",
+ "\n",
+ "**Unsupervised learning in-depth** (1 hr)\n",
+ "* Principal Component Analysis\n",
+ "* K-means Clustering\n",
+ "* Gaussian Mixture Models\n",
+ "\n",
+ "**Model Validation** (1 hr)\n",
+ "* Validation and Cross-validation"
+ ]
+ },
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "heading",
- "level": 1,
- "metadata": {},
- "source": [
- "An Introduction to scikit-learn: Machine Learning in Python"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Goals of this Tutorial"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "- **Introduce the basics of Machine Learning**, and some skills useful in practice.\n",
- "- **Introduce the syntax of scikit-learn**, so that you can make use of the rich toolset available."
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Schedule:"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "**10:00 - 10:15** Preliminaries: Setup & introduction\n",
- "* Making sure your computer is set-up\n",
- "\n",
- "**10:15 - 11:00** Basic Principles of Machine Learning and the Scikit-learn Interface\n",
- "* What is Machine Learning?\n",
- "* Machine learning data layout\n",
- "* Supervised Learning\n",
- " - Classification\n",
- " - Regression\n",
- " - Measuring performance\n",
- "* Unsupervised Learning\n",
- " - Clustering\n",
- " - Dimensionality Reduction\n",
- " - Density Estimation\n",
- "* Evaluation of Learning Models\n",
- "* Choosing the right algorithm for your dataset\n",
- "\n",
- "**11:00 - 12:00** Supervised learning in-depth\n",
- "* Support Vector Machines\n",
- "* Decision Trees and Random Forests\n",
- "\n",
- "*The tutorial repository contains additional material which we will not cover here. My hope is that you will find it useful to read-through on your own if you want to go deeper!*"
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Preliminaries"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This tutorial requires the following packages:\n",
- "\n",
- "- Python version 2.6-2.7 or 3.3-3.4\n",
- "- `numpy` version 1.5 or later: http://www.numpy.org/\n",
- "- `scipy` version 0.10 or later: http://www.scipy.org/\n",
- "- `matplotlib` version 1.3 or later: http://matplotlib.org/\n",
- "- `scikit-learn` version 0.14 or later: http://scikit-learn.org\n",
- "- `ipython` version 2.0 or later, with notebook support: http://ipython.org\n",
- "- `seaborn`: version 0.5 or later, used mainly for plot styling\n",
- "\n",
- "The easiest way to get these is to use the [conda](http://store.continuum.io/) environment manager.\n",
- "I suggest downloading and installing [miniconda](http://conda.pydata.org/miniconda.html).\n",
- "\n",
- "The following command will install all required packages:\n",
- "```\n",
- "$ conda install numpy scipy matplotlib scikit-learn ipython-notebook\n",
- "```\n",
- "\n",
- "Alternatively, you can download and install the (very large) Anaconda software distribution, found at https://store.continuum.io/."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Checking your installation\n",
- "\n",
- "You can run the following code to check the versions of the packages on your system:\n",
- "\n",
- "(in IPython notebook, press `shift` and `return` together to execute the contents of a cell)"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import print_function\n",
- "\n",
- "import IPython\n",
- "print('IPython:', IPython.__version__)\n",
- "\n",
- "import numpy\n",
- "print('numpy:', numpy.__version__)\n",
- "\n",
- "import scipy\n",
- "print('scipy:', scipy.__version__)\n",
- "\n",
- "import matplotlib\n",
- "print('matplotlib:', matplotlib.__version__)\n",
- "\n",
- "import sklearn\n",
- "print('scikit-learn:', sklearn.__version__)\n",
- "\n",
- "import seaborn\n",
- "print('seaborn', seaborn.__version__)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "IPython: 2.4.1\n",
- "numpy:"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 1.9.2\n",
- "scipy: 0.15.1\n",
- "matplotlib: 1.4.3\n",
- "scikit-learn:"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 0.15.2\n",
- "seaborn"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 0.5.1\n"
- ]
- }
- ],
- "prompt_number": 1
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Useful Resources"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "- **scikit-learn:** http://scikit-learn.org (see especially the narrative documentation)\n",
- "- **matplotlib:** http://matplotlib.org (see especially the gallery section)\n",
- "- **IPython:** http://ipython.org (also check out http://nbviewer.ipython.org)"
- ]
- }
- ],
- "metadata": {}
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Preliminaries"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This tutorial requires the following packages:\n",
+ "\n",
+ "- Python version 2.7 or 3.4+\n",
+ "- `numpy` version 1.8 or later: http://www.numpy.org/\n",
+ "- `scipy` version 0.15 or later: http://www.scipy.org/\n",
+ "- `matplotlib` version 1.3 or later: http://matplotlib.org/\n",
+ "- `scikit-learn` version 0.15 or later: http://scikit-learn.org\n",
+ "- `ipython`/`jupyter` version 3.0 or later, with notebook support: http://ipython.org\n",
+ "- `seaborn`: version 0.5 or later, used mainly for plot styling\n",
+ "\n",
+ "The easiest way to get these is to use the [conda](http://store.continuum.io/) environment manager.\n",
+ "I suggest downloading and installing [miniconda](http://conda.pydata.org/miniconda.html).\n",
+ "\n",
+ "The following command will install all required packages:\n",
+ "```\n",
+ "$ conda install numpy scipy matplotlib scikit-learn ipython-notebook\n",
+ "```\n",
+ "\n",
+ "Alternatively, you can download and install the (very large) Anaconda software distribution, found at https://store.continuum.io/."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Checking your installation\n",
+ "\n",
+ "You can run the following code to check the versions of the packages on your system:\n",
+ "\n",
+ "(in IPython notebook, press `shift` and `return` together to execute the contents of a cell)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": null,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from __future__ import print_function\n",
+ "\n",
+ "import IPython\n",
+ "print('IPython:', IPython.__version__)\n",
+ "\n",
+ "import numpy\n",
+ "print('numpy:', numpy.__version__)\n",
+ "\n",
+ "import scipy\n",
+ "print('scipy:', scipy.__version__)\n",
+ "\n",
+ "import matplotlib\n",
+ "print('matplotlib:', matplotlib.__version__)\n",
+ "\n",
+ "import sklearn\n",
+ "print('scikit-learn:', sklearn.__version__)\n",
+ "\n",
+ "import seaborn\n",
+ "print('seaborn', seaborn.__version__)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Useful Resources"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "- **scikit-learn:** http://scikit-learn.org (see especially the narrative documentation)\n",
+ "- **matplotlib:** http://matplotlib.org (see especially the gallery section)\n",
+ "- **IPython:** http://ipython.org (also check out http://nbviewer.ipython.org)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
}
- ]
-}
\ No newline at end of file
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/02.1-Machine-Learning-Intro.ipynb b/notebooks/02.1-Machine-Learning-Intro.ipynb
index e270b1e..4cd09d8 100644
--- a/notebooks/02.1-Machine-Learning-Intro.ipynb
+++ b/notebooks/02.1-Machine-Learning-Intro.ipynb
@@ -1,587 +1,625 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:06afc3740970c2fb16b9294e88b7cb433bf037ae0e70385f8c2415edd736cc44"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Introduction to Scikit-Learn: Machine Learning with Python\n",
- "\n",
- "This session will cover the basics of Scikit-Learn, a popular package containing a collection of tools for machine learning written in Python. See more at http://scikit-learn.org."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Outline\n",
- "\n",
- "**Main Goal:** To introduce the central concepts of machine learning, and how they can be applied in Python using the Scikit-learn Package.\n",
- "\n",
- "- Definition of machine learning\n",
- "- Data representation in scikit-learn\n",
- "- Introduction to the Scikit-learn API"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## About Scikit-Learn\n",
- "\n",
- "[Scikit-Learn](http://github.com/scikit-learn/scikit-learn) is a Python package designed to give access to **well-known** machine learning algorithms within Python code, through a **clean, well-thought-out API**. It has been built by hundreds of contributors from around the world, and is used across industry and academia.\n",
- "\n",
- "Scikit-Learn is built upon Python's [NumPy (Numerical Python)](http://numpy.org) and [SciPy (Scientific Python)](http://scipy.org) libraries, which enable efficient in-core numerical and scientific computation within Python. As such, scikit-learn is not specifically designed for extremely large datasets, though there is [some work](https://github.com/ogrisel/parallel_ml_tutorial) in this area.\n",
- "\n",
- "For this short introduction, I'm going to stick to questions of in-core processing of small to medium datasets with Scikit-learn."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## What is Machine Learning?\n",
- "\n",
- "In this section we will begin to explore the basic principles of machine learning.\n",
- "Machine Learning is about building programs with **tunable parameters** (typically an\n",
- "array of floating point values) that are adjusted automatically so as to improve\n",
- "their behavior by **adapting to previously seen data.**\n",
- "\n",
- "Machine Learning can be considered a subfield of **Artificial Intelligence** since those\n",
- "algorithms can be seen as building blocks to make computers learn to behave more\n",
- "intelligently by somehow **generalizing** rather that just storing and retrieving data items\n",
- "like a database system would do.\n",
- "\n",
- "We'll take a look at two very simple machine learning tasks here.\n",
- "The first is a **classification** task: the figure shows a\n",
- "collection of two-dimensional data, colored according to two different class\n",
- "labels. A classification algorithm may be used to draw a dividing boundary\n",
- "between the two clusters of points:"
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Introduction to Scikit-Learn: Machine Learning with Python\n",
+ "\n",
+ "This session will cover the basics of Scikit-Learn, a popular package containing a collection of tools for machine learning written in Python. See more at http://scikit-learn.org."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Outline\n",
+ "\n",
+ "**Main Goal:** To introduce the central concepts of machine learning, and how they can be applied in Python using the Scikit-learn Package.\n",
+ "\n",
+ "- Definition of machine learning\n",
+ "- Data representation in scikit-learn\n",
+ "- Introduction to the Scikit-learn API"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## About Scikit-Learn\n",
+ "\n",
+ "[Scikit-Learn](http://github.com/scikit-learn/scikit-learn) is a Python package designed to give access to **well-known** machine learning algorithms within Python code, through a **clean, well-thought-out API**. It has been built by hundreds of contributors from around the world, and is used across industry and academia.\n",
+ "\n",
+ "Scikit-Learn is built upon Python's [NumPy (Numerical Python)](http://numpy.org) and [SciPy (Scientific Python)](http://scipy.org) libraries, which enable efficient in-core numerical and scientific computation within Python. As such, scikit-learn is not specifically designed for extremely large datasets, though there is [some work](https://github.com/ogrisel/parallel_ml_tutorial) in this area.\n",
+ "\n",
+ "For this short introduction, I'm going to stick to questions of in-core processing of small to medium datasets with Scikit-learn."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## What is Machine Learning?\n",
+ "\n",
+ "In this section we will begin to explore the basic principles of machine learning.\n",
+ "Machine Learning is about building programs with **tunable parameters** (typically an\n",
+ "array of floating point values) that are adjusted automatically so as to improve\n",
+ "their behavior by **adapting to previously seen data.**\n",
+ "\n",
+ "Machine Learning can be considered a subfield of **Artificial Intelligence** since those\n",
+ "algorithms can be seen as building blocks to make computers learn to behave more\n",
+ "intelligently by somehow **generalizing** rather that just storing and retrieving data items\n",
+ "like a database system would do.\n",
+ "\n",
+ "We'll take a look at two very simple machine learning tasks here.\n",
+ "The first is a **classification** task: the figure shows a\n",
+ "collection of two-dimensional data, colored according to two different class\n",
+ "labels. A classification algorithm may be used to draw a dividing boundary\n",
+ "between the two clusters of points:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "\n",
+ "# set seaborn plot defaults.\n",
+ "# This can be safely commented out\n",
+ "import seaborn; seaborn.set()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:650: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors_original != str('face'):\n",
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%matplotlib inline\n",
- "\n",
- "# set seaborn plot defaults.\n",
- "# This can be safely commented out\n",
- "import seaborn; seaborn.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Import the example plot from the figures directory\n",
- "from fig_code import plot_sgd_separator\n",
- "plot_sgd_separator()"
- ],
- "language": "python",
+ "data": {
+ "image/png": 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z6lFRUY6//vUJLFq0RLB+aWkpsrOzodVqkZLS5+pp3FCkpdm+Uej++x/C/fc/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\n5+DOO+9FQkKiYP0XXngW27d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qqUuzuyFjJmLImIlSl0FdUJsD18fHB+Xl5ZbllsI2MNAb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\nntM6kK4AAAABSURBVAVYUolnAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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eD0pKipt5k1Dj+qZ6jF8sPLzunpTu3Xv4BKXcTUINr00mkyrXO6ltGLhE1Gm4\nXK4Lrnc2FaC+rx0OO1wuV7O2HxUVDbPZjN69+0hCs6kAletdTh0TA5eIglJNTY3kLtumQrO42IHC\nwkIUFxc3uzlCw/XOjIxuzbrL1mw2w2AwKPDJKVgxcIlIdRUVFU3eZev7mErjf8vKmncNsqE5Qteu\nCcjO7t3knbUXns6NjlakOQJ1MgxcIvKbhjmYm2q/19SznlVVVc3afmhoKCyWWKSlpV8Qlmaf4Lz4\nFG5ERCTi4qJ4kxCpjoFLRLIunIPZtyF803fcFhU5mt0coWEOZkHIbjIs5ZojEAUrBi5RJ9AwB3Nz\nbhJqeH3hHMyX0zAHc2pqmuR0rVyjhObMwUzU0TBwiYJMZWVls0KztLQY+fkFsNvtKC1tXjP4uuYI\nFskczHKPpjS8ZnMEoubhTwmRSlrTDN7hsKOioqJZ2w8JCYHZbEFycopsM3i5AI2MjPI2RyAi/2Lg\nEvmB2+1GcXFRwJrBh4ebEBsbix49MmE2m2WvdV78Oj29KwoLywL8yYmouRi4RBdpSTP4xhBtWTN4\ns9nsbQZ/8dGmXIC25nonOxERtS8MXOrQGprBy91Z29Zm8Fqt1vtISvfuPS9qgiB/l63ZbOb1TqJO\nij/5FBQamsHLHV02BGdFRSnOnj3v8/hKeXnzTqkaDAZYLLFITExE7959ZDoJmSXTkUVHx/B6JxE1\nGwOXFOfxeFBaWnKJ5gjS07l2u60FzeDDYTZb6lvyxcJiMTd5k1DDf02mCJ6CJaKAYuBSm7hcLhQV\nFTV52rap5ghOp7NZ24+MjILZbEGvXr0ve5NQZmYa3G4jwsLCAvypiYhajoFLXrW1tZJTtReftpVr\njtCSZvB1d89mNOsuW7PZDKPR2Oz6OccnEbVnDNwOqrKyUjY05V/XncJtbnMEvV4Ps9mC+PiuyMrq\ndcnQbHjmk83giaizY+C2cw3N4OWOMKury3H69NmL+tzWjamsrGzW9huawTe05Lv4BqGmmsHzeicR\nUcswcBXUnGbwcpNft7QZfGZm1kVTjvkGJ5vBExEpj4HbSg3N4C9/urbxdWuawaekpDbZy7Zbt2Ro\ntWFsBk9EFAQYuACqqqoue2ftxc0RSkqKm7XtumbwZm8z+KanIGt5M3jeJEREJLVt2xZs3bpZcjZx\n/vwFmDVrjmp1dajArWsGX97MKcgaT+dWVJQ3a/tGoxEWSyySkpLRt2+/i5ojyJ/CZTN4IqK2Wb9+\nLVat+k70IZWiAAAdzElEQVTyzP7Chbfj9tvvkoxfsWIp/vGPZyXrR40ao0S5TQqqwD148ADee289\nTp480+Rp25qammZtKzw8vL4lX4+LArPp6chMJhNvFiIiaoba2lrU1tbK3ify/fcr8cUXn0oeObz9\n9rvwu989LBm/detmLFr0d++yRqNBdHQ0ysrkO8nNnDkbffsO8Pn93dLHDAMhqAJ327Yt+PWvfy1Z\nHxUVDbPZjD59+l7y2c4LAzQ0NFSFT0BEFHwa5mDW6fSIj4+X/P2KFUvxxhuv1R+B2r2PGf7sZ/fh\n8cf/Khl/9OhhfPTR+wAa52COi4tHZGSU7PvPmjUHI0aM9rnsdqnHDHv16o1evXq38tMGTlAF7pgx\n4/DZZ59BpwvzaQZvMBjULo2IqN1rmIO5rKwQR46chMkUgZ49MyXjvv12CZ599mnJHMwLFtyGZ599\nXjI+Pz8f33+/0jsHc8PNnmlpabJ1zJ59AyZNmuq97Ha5M4cpKalISUltxSduX4IqcFNT05CT04c3\nChFRpyc3B7PZbMGQIcMkY5cs+QoPPfQb2O02n8cMr7/+Rrz00muS8ZWVFTh+/BgsFkv9zZ51z+YP\nGpQjW8vs2TfguuuuR3h4eLMuu9WdbYxtwaftGIIqcImIOiKXyyXbStVqjcPUqdMk45cs+Qo//ekC\nyWOG06dfgzfflAZueHgYwsLC0K9ff5jNFiQkxCM8PAo5OYNl65k1aw5mz76h2fWzf3nzMHCJiPys\noqICubnHJZN5xMd3xbx5t0jGr1y5ArfccqNk/fjxE2UDNz4+HkOGDJM8GZGdnS1bz4QJk7F58y7v\n8uUeKeTNoYHBwCUiuoySkmJs27ZV8mx+164JuP/+ByTjt27djOuvv0ayftiwEbKBm5qahhkzZl50\nw6cZ6endZOsZMmQYvv56eds/GCmKgUtEnY7dbsPKlSt8JvCw223o2rUrnnzy/yTjDx0SceON10nW\n9+s3QDZw09MzcNttd0iOQBMSEmXryc7uhTfeeLftH4zaNQYuEQU9m82GDz98T3IKt0sXK9588z3J\n+HPnzuG++6QNE+Tu2AWAtLQMPPjgI5IAtVqtsuNTU9Pw9NPPte1DUYfDwCUi1TidTtk2pjabDS+8\n8JykuU1MTAyWLVslGV9SUozHH3/UZ51Go0F2tvyzmCkpKfj731/0BuiFzRHkWK1W/PrXv2vFJyRq\n1OLAFQTBAOANAGkAQgD8RRTFr/1dGBEFl4qKCpSWliA+vqvk7xwOOx566Lfea6AN7VWjoqKwc+cB\nyXin04l//euf3uWGOZi7dJE/okxISMS77/4HFosFp4+KcJwUYemajKvn3yk7PjIyCjff/JNWflKi\n1mnNEe58AAWiKN4iCIIZwE4ADFyiDqJhDmabzYbS0lL07dtPMqasrBQ/+cn8C/qT21BVVYWYmBgc\nOnRSMt5gMOCzzz4B0DgHc1paOhIT5a9pdunSBcuXr/IegV6uOUJoaCimTp2GNd9+BufqfyE7xInK\nEx68cfII7niEp3apfWhN4H4C4L/1r7UAnP4rh4j86cI5mG02O0pKijBp0lTJuKqqKkyePNZ76tbp\nrPuxNhqNOHWqQBJ2oaFhWLt2tXcOZkHIhsViQWxsF3g8Hsl4kykCO3bsb/YczDqdDgMHyjdZuJQT\n275Dz5C62sP0Grhyt3k/C5HaWhy4oiiWA4AgCJGoC98/+LsoIpJqag7m+fMXSALO7XYjLi4OhYWF\n8Hg8Pn+Xl2eTtEMNCQlBUVERIiMjkZqa5tN/3Ol0Ssbr9XqcPl3Y7GbwGo0GSUnJrfjULePR+dbj\n0hkv2XOXSEmai38Ym0MQhBQAnwFYLIriW02NczpdHr2e3+xEcvLy8lBYWIjCwkLYbDbYbDYUFhbi\n97//vWyQmUwmb0/bCxUXFyMqStr0fcSIESiyFSC87DwsYTpEGnWoiErEF2u2dNjJO44eEvHRn+5G\n1/KTsGsjkHXDL3H1TQvVLos6H9nrHy0OXEEQ4gGsBnCPKIrS2wUvUFBQ2vI0vwxOut6I+8KX2vtj\nz57dKCjIlzRHeOSRPyEiIlIyPisrHXa7XWY7h2RvPLrjjoVwu931fWjN3tmwrrnmOtnWelZrJP7+\ny1vRI3+jd92+MgNuWrQCJpOpjZ+2/SovL8ehg/uQmJzmndlG7e+N9ob7o1Eg9oXVGikbuK25hvsw\ngGgAjwmC8Fj9ummiKFa1tjii9mjNmlU4e/bMBadx607l/t///QNdunSRjF+wYC7y8k5L1t955z2y\ngTtnzk1wOmslU0hGRUXL1vPaa2+1/EOERcHt8UBbf8q5yhDdrGuowcxkMmFgzlC1yyCSaNUp5ebi\nEW5gcV/4utz++Oqrz3HixIkL7qytC9CXXnoNqanSacRGjRqMw4cPSdavWrUBvXv3kaxfvHgRamqq\nJc0RevToiZCQkLZ9uFawWiNx7Fge3vnLL2EoPIzakCgMnfsrDBk7SfFa1MafFV/cH43a+xEuUbvw\n7rtv4dAh0XsTUWlpMfLzC/DWWx8gO7uXZPyLLz6PXbt2+KzTarUoLCyQDdxf/vI3qKmpkQSoxWKR\nrefee3/hnw/mR5GRUbj3b2+guroaRqORTemJVMTAJcV4PB5UVFTAYDDI3hT00ksvYvfuHd6mCA1H\noR999BmGDRsuGf/JJx9h48YN3mWDwQCLJRbl5WWy7/+HP/zRewTacAo3OjoGWq1WdvycOXNb+Unb\nHzWOsInIFwOXWsXj8aCkpBh2ux1Wq1X2GuUzzzyFjRs3eG8ecjjsqKqqwscff4ErrpggGf/DD6vw\n/fcrAdTNr2mxxCIjo1uTR2VPPvk3uFwu71FnRkYiCgvlwxaA7HsSESmFgUtwuVwoKiryHlFmZHST\nbcr++OOPYcWKpbDb7SgqcngbCrz99oeYNm26ZPyBA/uxdu0aREZGwWKxIDu7FyyW2CbvkH322Reg\n1WphNluaNaF13779fZZ5upSI2jMGbgdTU1PjDc6GR1P69euPtLR0ydiHH/4tPv30YxQVFfk0R3j5\n5X9j9uwbJOMLCvJRUJAPiyUW6ekZ3tOyDY9eXGzRopfwyitvSJomNCU5OaV5H5KIKAgxcNuxqqoq\n2GyFF1zPrOsuNGzYCNm7ZB944H68++6bkvXPPbcIt9yyULI+LCwccXHxyMrq5TNrSlNTlC1a9HKL\njiLlTjMTEXVWDFwFFRQU4PTpk5Ij0CuumIjhw0dIxj/22EN4663XJev/8penZQO3R4+eGDNm3AV3\n1dbdWTt4sPwziY8++mc8+uifm10/T9kSEbUeA7cNTpzIhSgeuOiuWhumTJmGqVOnScYvXvwCXnpp\nkWR9aGiobODm5AxBSUnxBY+jxMJisaB//4Gy9dx99324++772v7BiIjI7xi4FzhwYD+2bdvi0xje\n4bDjqquuxty58yXj//OfD/Dss09L1sfGdpEN3FGjRte35rP4BGj37j1k67nxxnm48cZ5bf9gRESk\nug4duDt3bsf336/06WvrcNhxzTWzcM89P5eMX7lyBZ544jHJerkbjgBg3LgJCAsL92mKEBsbi65d\npX1wAWDy5CsxefKVbfpM1Lk4nU7s37sToWEmZArZapdDRG0QVIG7efMmLFv2JfLyztYfgTpgt9tw\n3XXXy16L3LZtK55++i8+64xGI4YPHyW7/UmTpiAuLs6nr23D5Ndyhg0bLtuQgcgfqqur8eojdyLF\nsRvVbh02ZE/Bwt/+Ve2yiKiVgipwjx07gn/+85/e5fBwEywWS5PzXU6ZciW6devucwRqMpmavPkn\nO7uXbEtAIjV8+9Hr6F+5HwZT3WNVZw+twK7t16L/IDbmJwpGQRW4kydfiV27dgEIgdlsueycnikp\nqUhJSVWmOCI/c9VUwqBr/MdhpN6D0iKHihURUVvIN5Ftp2JjY9GvXz8kJCR22Am0iRoMmTQTe2pi\nAABujwf7DRnIGTFW5aqIqLWC6giXSG0ejwcfvPgkKo5ugUcfhpzZdyFn5PiAvFdaRg9M+c0/sXn5\nfwGtHrfOu6tZLS+JqH1i4BK1wNKP30KXg18iyqABnMC2d/6KzL45Td5Y11bp3TORfs/DAdk2ESmL\ngUt0AY/HgyUfvIqio7vgNkZgxk9/i9gujRM5lJw9jjRD43XVLjUFyDt1Elm9pJ2/goHT6cR7zz2C\n2rwDcIdEYOwtv0Z2vxy1yyLqkILqGi5RoC37+C3o1v4bPWxb0fPMKnzw11/4TOwQm54FR3Xj+ILQ\nBKSkZahQqX98/sYLSD+5En00Z9Gv5jC+f/VxuN1utcsi6pB4hEt0AdvRXegeUncEq9FoYCo+gQ9f\n+TtK93wPj0aDlFHXonrIPBw4uAluQyhG33B3k9MNBoMa22mE6Bv/3W2qzEdxcRHMZouKVRF1TAxc\nogtowmPgcnug09aFrr1Wj247PkFGaN1RX97qN9Dzjr+j/+2/VLNMvwnr2g3lp9bCZKgL3fLwBMTE\nmFWuiqhj4illogtcd+fvsCdqIHaVh2GHKx7GbjlICG08xZoYUovj4l4VK/Sva39yL/Kzr8UBY3fs\njeyPq37xJGeFIgoQHuESXSA8PBx3P/kqnE4n9Ho9DuzegZ0vbUd6SCUA4FhtBEYOHa1ylf6j1Wox\n7+ePqF0GUafAwCWSodfX/Whk9xsI+/W/xcHVn9ctT74R3XpmqVkaEQUpBi7RZYyaNAOjJs1QuwxF\n1dTU4J3/+z2cp/fBExqFEXPvx4DhY9Quiyio8RouEUl8/vo/kHluLfqHFGGA5yTWv/0UnE6n2mUR\nBTUGLhFJOIvOw6Br/PUQUW1HcXGxihURBT8GLhFJRKdno7imseFHaWQyLBY+m0vUFryGS0QS0+f+\nFJ9XlOPcsV1wh5hw7U8e4ONCRG3EwCUiCY1Gg1kdpLkHUXvBwKUO6ai4H+s+fQ0atxOZo6Zj+Pgr\n1S6JiDo5Bi51OEVFDqx4/gEMMNoAAMf+swPhkdHoN3iEypUpa/O61Vj1zmJo3LXoOnACpt1wq/fv\nKisrUVhYgK5dE2AwGFSskqjzYOBSh7Nrywb0QD4AHQAgI6QGh7at61SBW1hYiFUvPIRsQxEA4Nz3\nR7DRmojh46di67rvseW9pxFdY4fDlIzp9/8N6T0ElSsm6vh4lzJ1OCkZPVFQ23jUVlbrQXhsvIoV\nKe/g7m1Idtu8y11DXDh1cAcAYOt/F2NASBEyIrUYpD2D7997Qa0yiToVBi51ON16ZCJ64u3YXhGJ\n3WWhOJ02CdNm36J2WYrqntUb59A4baCjGnAZwvDRC39C6bkTPmO1tZVKl0fUKfGUMnVI02+6A64b\nboPL5YLRaFS7HMUlJCaj34KHsenj16Bx1UDbrR/cW79B35Ai5FaWotoZiRC9Fo5qD2IG5ahdLlGn\n0KbAFQRhGICnRVEc76d6iPxGp9NBp9OpXYZqJs+cgwEj6+7O/vztl9A1738AgNGpUdicV4barr0x\nYPJMXNvJjv6J1NLqwBUE4XcAbgZQ5r9yiCgQwqJiUOF0I1yvhU6rgWA1wTznTowcP0Xt0og6jbZc\nwz0CYBYAtp8hauemzJyLI3GjcLzUjSOlQGGPqRhxxeSAvZ/H40F+fj7KykoD9h5EwabVR7iiKH4m\nCEK6H2shogDRarW487HnkZd3GjqdDgkJiQF7r9raWrz2p/sQcXYnqjQGxI+di5k/uS9g70cULDQe\nj+fyo5pQH7gfiqIo+4Cj0+ny6PWd9xoadT6VlZU4f/48EhMTA3KzlsPhwM4tG9FdyEZqWrrft+8P\n7730HMLWvOqdbehouRazXvgGaenp6hZGpBzZM78BvUvZ4ajw+zat1kgUFPA0FcB9cTG198eOH9dg\n49t/RUx1IeymJEy570n0zOrrt+0f2L0DP7z8INI9hdjmCkPyjHswcea8JsertT+K8wsQdcHUftGa\naogHjiDcFKt4LQ3U/t5ob7g/GgViX1itkbLr/fEcbusPkYk6kE2fLMaAEAfSo3QYpDuHH95/0a/b\n3/j5v9HP6EBUiA6Z4TUQl7/n1+37S/bwSThWHQqg7lpubmgGsnr3U7kqIvW16QhXFMVcACP9UwpR\ncNPWVDR0kwQAaGr9e4ZH46r1fT9XLTweT7ubNq9vzjDUVj8BccNSuLVGzJ1/D8LCwtQui0h1bHxB\n5Cchaf1Rkbsc4Xotims8iO432K/bTx06GaeX7EVyiBMltR6Yska2u7BtMGjkOAwaOU7tMojaFQYu\nkZ/c8sAT+OrdBOQX5CEmLQuzrl/g1+1PmDEHW82xOL57M6LiUnDzrKav3xJR+8PAJfITrVaLawP8\n+MvgURMweNSEgL5He3P69ClUV1Uio1sPaLVs/07Bi4FLRO3WB4seh2vnEoTAiaXxg3DX4y9z/l4K\nWvznIhG1S3t2boVx91foEQmkROrRt3QnvvnodbXLImo1Bi4RtUv2gvOINjQ+dWjUaeGsLFexIqK2\nYeASUbs0ZNR4HNCnoqEb3r7qKOSMn65yVUStx2u4RArLPXYYG5d8gLyTuYiJS0TP/kMxdupMtctq\nd8LDwzH/j69ixUevQOt2Ycyka5HRM0vtsohajYFLpKBzZ05j2TM/R3+jHWkA1v/4I/IOLsNnZ05g\n1q2/ULyeNcu+QMGJQ0jq2Q8jJlyp+PtfTmwXK2667xG1yyDyCwYukYJ+XPk1+hvt3uXhyZHYfrYc\n4btWA1A2cD99/XmEbP0QSUYPzu/4HN/mn8FVc29TtAaizoTXcIkUFBZZNxF8g9IaF8IMWnh0yj/q\nYtu9GrHGuuuj8SEunNu+UvEaiDoTBi6RgqbMvBGHrSNxvLgWh21V2JJXBl1ELHpf5d+uVM2i9Q15\nj87/0wkSUSOeUiZSkFarxV1/fAG5ucfhcNiRbs9HZu/+6JqQpHgtvabdAvG/zyJZV46Tnhj0v0GF\n0CfqRBi4RH722RsvoHDHd/BodOg5aS4mXHOjz99rNBpkZHRDRkY3lSqsM3rKNejWawAOH9iD6f1y\nEB/fVdV6iDo6Bi6RH61buQSGzR+gb0jdtdGjS17E8V4DkNFDULkyeYnJqUhMTlW7DKJOgddwifzo\nfO4hdAlp7I6UYqzCoX27VKyo7crKSrFz+xbYbDa1SyEKagxcIj9K7zUIedWNNyMdc0ah7+ARKlbU\nNgf37MC7v70BJ1+6E58/OBvrVnyldklEQYuBS+RHOSOvQMy0+3AgLAv7Tb3R5+ZHkJiUonZZrbbh\nv69ggNEGq8mA3uEV2PM1Jw8gai1ewyXys0kzbwJm3qR2GX6hdVb7LruqmxhJRJfDI1wialJ8/7HI\nr677NVFW60Fo9yEqV0QUvHiES0RNmnbDrVgbE4uT4k5ExqVgwQ0L1S6JKGgxcInoksZMuQaYco3a\nZRAFPZ5SJiIiUgADl4iISAEMXCIiIgUwcImIiBTAwCUiIlIAA5eIiEgBDFwiIiIFMHCJqF3yeDwo\nLS2Bx+O5/GCiIMDGF0TU7hw9uA9LFz+CsPLzqDTFY+q9j6NnVl+1yyJqEx7hElG78/07zyJHm4de\nkU7kaPOw+p2/q10SUZsxcImo3dFUlV5yOZBqampw5MhhFBU5FHtP6hx4SpmI2h1jUjaqj+UiRK9F\ntdMNY2qWIu977mwePvnrzxFfnotibQS6XX0PJs6cq8h7U8fHI1wianfm3f9HFPS/CUfjRqCg/02Y\nd/+fFHnfFe+8gBzNKaRE6tHHVIWD3/wbbrdbkfemjq/FR7iCIGgBvASgH4BqAD8VRfGovwsjos5L\nr9djzp0PKP6+Wmc1NBqNd9noqkZ1dTXCwsIUr4U6ntYc4V4LwCiK4kgADwJ4zr8lERGpI2XgWJyp\n1gEAal1uOBP7MmzJb1pzDXcUgGUAIIriJkEQBvu3JCJqjzweD9avWo7SIjtGT56ByMgotUvyu3FX\nzcaGkFCc2LMR+ggLbl9wr9olUQfSmsCNAlBywbJLEAStKIq80EHUQXk8Hrz+198i8dRqROg1ePO7\n/2D+n/+N2C5WtUvzu5ETp2PkxOlql0EdUGsCtwRA5AXLTYat2RwOvV7XqsIuxWqNvPygToL7whf3\nhy9/7Y8D+/ch6tgqmCPqfp4He85gw9fv4Lbf/ckv21cCvzd8cX80UmpftCZw1wO4GsAngiAMB7C7\nqYEOR0Vr62qS1RqJggLlnslrz7gvfHF/+PLn/sjPL4YOjS0WNRoNKiuqg2Z/83vDF/dHo0Dsi6YC\nvDU3TX0OoEoQhPWou2HqV22oi4iCQFZ2b5zrOhjVzrqTWbtqYjHy6nkqV0UUXFp8hCuKogfA3QGo\nhahDcbvdWP75B6gsKkT/0VPQXeildkmtptVqcdefX8LyT9+DvbIM1065Fl0Tk9UuiyiosNMUUYC8\n8dTvkJ63GjEGLX7Y8hUq7nwKfQcNU7usVtPr9Zh+40K1yyAKWuw0RRQARUUO6I6uh8lQ9yOWFVKG\nPd99pnJVRKQmBi5RAOj1ejgv+vFya/j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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This may seem like a trivial task, but it is a simple version of a very important concept.\n",
- "By drawing this separating line, we have learned a model which can **generalize** to new\n",
- "data: if you were to drop another point onto the plane which is unlabeled, this algorithm\n",
- "could now **predict** whether it's a blue or a red point.\n",
- "\n",
- "If you'd like to see the source code used to generate this, you can either open the\n",
- "code in the `figures` directory, or you can load the code using the `%load` magic command:"
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Import the example plot from the figures directory\n",
+ "from fig_code import plot_sgd_separator\n",
+ "plot_sgd_separator()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This may seem like a trivial task, but it is a simple version of a very important concept.\n",
+ "By drawing this separating line, we have learned a model which can **generalize** to new\n",
+ "data: if you were to drop another point onto the plane which is unlabeled, this algorithm\n",
+ "could now **predict** whether it's a blue or a red point.\n",
+ "\n",
+ "If you'd like to see the source code used to generate this, you can either open the\n",
+ "code in the `figures` directory, or you can load the code using the `%load` magic command:"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The next simple task we'll look at is a **regression** task: a simple best-fit line\n",
+ "to a set of data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "#Uncomment the %load command to load the contents of the file\n",
- "# %load fig_code/sgd_separator.py"
- ],
- "language": "python",
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [],
- "prompt_number": 3
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from fig_code import plot_linear_regression\n",
+ "plot_linear_regression()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Again, this is an example of fitting a model to data, such that the model can make\n",
+ "generalizations about new data. The model has been **learned** from the training\n",
+ "data, and can be used to predict the result of test data:\n",
+ "here, we might be given an x-value, and the model would\n",
+ "allow us to predict the y value. Again, this might seem like a trivial problem,\n",
+ "but it is a basic example of a type of operation that is fundamental to\n",
+ "machine learning tasks."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Representation of Data in Scikit-learn\n",
+ "\n",
+ "Machine learning is about creating models from data: for that reason, we'll start by\n",
+ "discussing how data can be represented in order to be understood by the computer. Along\n",
+ "with this, we'll build on our matplotlib examples from the previous section and show some\n",
+ "examples of how to visualize data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Most machine learning algorithms implemented in scikit-learn expect data to be stored in a\n",
+ "**two-dimensional array or matrix**. The arrays can be\n",
+ "either ``numpy`` arrays, or in some cases ``scipy.sparse`` matrices.\n",
+ "The size of the array is expected to be `[n_samples, n_features]`\n",
+ "\n",
+ "- **n_samples:** The number of samples: each sample is an item to process (e.g. classify).\n",
+ " A sample can be a document, a picture, a sound, a video, an astronomical object,\n",
+ " a row in database or CSV file,\n",
+ " or whatever you can describe with a fixed set of quantitative traits.\n",
+ "- **n_features:** The number of features or distinct traits that can be used to describe each\n",
+ " item in a quantitative manner. Features are generally real-valued, but may be boolean or\n",
+ " discrete-valued in some cases.\n",
+ "\n",
+ "The number of features must be fixed in advance. However it can be very high dimensional\n",
+ "(e.g. millions of features) with most of them being zeros for a given sample. This is a case\n",
+ "where `scipy.sparse` matrices can be useful, in that they are\n",
+ "much more memory-efficient than numpy arrays."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## A Simple Example: the Iris Dataset\n",
+ "\n",
+ "As an example of a simple dataset, we're going to take a look at the\n",
+ "iris data stored by scikit-learn.\n",
+ "The data consists of measurements of three different species of irises.\n",
+ "There are three species of iris in the dataset, which we can picture here:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/jpeg": 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T3Mjj93NOUgsM9KrBuaeCSa+sR0s3zpAuFQ25wNucnvVSfRrqHJKhh7Vt2lt5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\nR+NS3ibZDjvXJWjaVwZScYNRMasSDjNQMKhEn//Z\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
},
{
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The next simple task we'll look at is a **regression** task: a simple best-fit line\n",
- "to a set of data:"
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Iris Setosa\n",
+ "\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from fig_code import plot_linear_regression\n",
- "plot_linear_regression()"
- ],
- "language": "python",
+ "data": {
+ "image/jpeg": 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HB+4waiiwuCwBIJUsfQdQfp/Sjsx2tGlAe5ooJxtLq3KKPPjz35FAfFd1zMFI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\nWlJnW5EIgFHOKhvrgKhCnnFfA2xMk80Iv7nJPNC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+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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YcoLdpYmIKLAlenzfPcvfnLjCf3rjABeudjIy3cHaIoOHpo60sVoRkRspsCVq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\n0u68UBTReFyjsbiRxuNGGo9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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 4
+ "output_type": "display_data"
},
{
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Again, this is an example of fitting a model to data, such that the model can make\n",
- "generalizations about new data. The model has been **learned** from the training\n",
- "data, and can be used to predict the result of test data:\n",
- "here, we might be given an x-value, and the model would\n",
- "allow us to predict the y value. Again, this might seem like a trivial problem,\n",
- "but it is a basic example of a type of operation that is fundamental to\n",
- "machine learning tasks."
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Iris Versicolor\n",
+ "\n"
]
},
{
- "cell_type": "markdown",
+ "data": {
+ "image/jpeg": 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mg6Z4s0pPD2uskFoH/wBC1Zk3S6c2OAD1MecZXI+vFfM/iPwTrHhOSbTNQ0Qw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naQdh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\nfaeNmRyfyr07SPi5ZxX0VkbkI0y74PM4Df7INeG+K/hpq/iHU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+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "## Representation of Data in Scikit-learn\n",
- "\n",
- "Machine learning is about creating models from data: for that reason, we'll start by\n",
- "discussing how data can be represented in order to be understood by the computer. Along\n",
- "with this, we'll build on our matplotlib examples from the previous section and show some\n",
- "examples of how to visualize data."
- ]
+ "output_type": "display_data"
},
{
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Most machine learning algorithms implemented in scikit-learn expect data to be stored in a\n",
- "**two-dimensional array or matrix**. The arrays can be\n",
- "either ``numpy`` arrays, or in some cases ``scipy.sparse`` matrices.\n",
- "The size of the array is expected to be `[n_samples, n_features]`\n",
- "\n",
- "- **n_samples:** The number of samples: each sample is an item to process (e.g. classify).\n",
- " A sample can be a document, a picture, a sound, a video, an astronomical object,\n",
- " a row in database or CSV file,\n",
- " or whatever you can describe with a fixed set of quantitative traits.\n",
- "- **n_features:** The number of features or distinct traits that can be used to describe each\n",
- " item in a quantitative manner. Features are generally real-valued, but may be boolean or\n",
- " discrete-valued in some cases.\n",
- "\n",
- "The number of features must be fixed in advance. However it can be very high dimensional\n",
- "(e.g. millions of features) with most of them being zeros for a given sample. This is a case\n",
- "where `scipy.sparse` matrices can be useful, in that they are\n",
- "much more memory-efficient than numpy arrays."
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Iris Virginica\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## A Simple Example: the Iris Dataset\n",
- "\n",
- "As an example of a simple dataset, we're going to take a look at the\n",
- "iris data stored by scikit-learn.\n",
- "The data consists of measurements of three different species of irises.\n",
- "There are three species of iris in the dataset, which we can picture here:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from IPython.core.display import Image, display\n",
- "display(Image(filename='images/iris_setosa.jpg'))\n",
- "print(\"Iris Setosa\\n\")\n",
- "\n",
- "display(Image(filename='images/iris_versicolor.jpg'))\n",
- "print(\"Iris Versicolor\\n\")\n",
- "\n",
- "display(Image(filename='images/iris_virginica.jpg'))\n",
- "print(\"Iris Virginica\")"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "jpeg": 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T3Mjj93NOUgsM9KrBuaeCSa+sR0s3zpAuFQ25wNucnvVSfRrqHJKhh7Vt2lt5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\nnb5qngXNV0XJq3EuKw6mNxWXip7QYIq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- "metadata": {},
- "output_type": "display_data",
- "text": [
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- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Iris Setosa\n",
- "\n"
- ]
- },
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HB+4waiiwuCwBIJUsfQdQfp/Sjsx2tGlAe5ooJxtLq3KKPPjz35FAfFd1zMFI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\nLEsqD1rMjiLpe1D7O0kJn8BWFoyy3Vz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- "metadata": {},
- "output_type": "display_data",
- "text": [
- ""
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Iris Versicolor\n",
- "\n"
- ]
- },
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mg6Z4s0pPD2uskFoH/wBC1Zk3S6c2OAD1MecZXI+vFfM/iPwTrHhOSbTNQ0Qw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naQdh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\nEzRnY6lWLDA/WqdzfXEc0Vtp9oUWNtkcRGWZvU47V9ArWOuHu6n/2Q==\n",
- "metadata": {},
- "output_type": "display_data",
- "text": [
- ""
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Iris Virginica\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Quick Question:\n",
- "\n",
- "**If we want to design an algorithm to recognize iris species, what might the data be?**\n",
- "\n",
- "Remember: we need a 2D array of size `[n_samples x n_features]`.\n",
- "\n",
- "- What would the `n_samples` refer to?\n",
- "\n",
- "- What might the `n_features` refer to?\n",
- "\n",
- "Remember that there must be a **fixed** number of features for each sample, and feature\n",
- "number ``i`` must be a similar kind of quantity for each sample."
+ }
+ ],
+ "source": [
+ "from IPython.core.display import Image, display\n",
+ "display(Image(filename='images/iris_setosa.jpg'))\n",
+ "print(\"Iris Setosa\\n\")\n",
+ "\n",
+ "display(Image(filename='images/iris_versicolor.jpg'))\n",
+ "print(\"Iris Versicolor\\n\")\n",
+ "\n",
+ "display(Image(filename='images/iris_virginica.jpg'))\n",
+ "print(\"Iris Virginica\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Quick Question:\n",
+ "\n",
+ "**If we want to design an algorithm to recognize iris species, what might the data be?**\n",
+ "\n",
+ "Remember: we need a 2D array of size `[n_samples x n_features]`.\n",
+ "\n",
+ "- What would the `n_samples` refer to?\n",
+ "\n",
+ "- What might the `n_features` refer to?\n",
+ "\n",
+ "Remember that there must be a **fixed** number of features for each sample, and feature\n",
+ "number ``i`` must be a similar kind of quantity for each sample."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Loading the Iris Data with Scikit-Learn\n",
+ "\n",
+ "Scikit-learn has a very straightforward set of data on these iris species. The data consist of\n",
+ "the following:\n",
+ "\n",
+ "- Features in the Iris dataset:\n",
+ "\n",
+ " 1. sepal length in cm\n",
+ " 2. sepal width in cm\n",
+ " 3. petal length in cm\n",
+ " 4. petal width in cm\n",
+ "\n",
+ "- Target classes to predict:\n",
+ "\n",
+ " 1. Iris Setosa\n",
+ " 2. Iris Versicolour\n",
+ " 3. Iris Virginica\n",
+ " \n",
+ "``scikit-learn`` embeds a copy of the iris CSV file along with a helper function to load it into numpy arrays:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.datasets import load_iris\n",
+ "iris = load_iris()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "dict_keys(['data', 'target_names', 'feature_names', 'DESCR', 'target'])"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "iris.keys()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(150, 4)\n",
+ "[ 5.1 3.5 1.4 0.2]\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Loading the Iris Data with Scikit-Learn\n",
- "\n",
- "Scikit-learn has a very straightforward set of data on these iris species. The data consist of\n",
- "the following:\n",
- "\n",
- "- Features in the Iris dataset:\n",
- "\n",
- " 1. sepal length in cm\n",
- " 2. sepal width in cm\n",
- " 3. petal length in cm\n",
- " 4. petal width in cm\n",
- "\n",
- "- Target classes to predict:\n",
- "\n",
- " 1. Iris Setosa\n",
- " 2. Iris Versicolour\n",
- " 3. Iris Virginica\n",
- " \n",
- "``scikit-learn`` embeds a copy of the iris CSV file along with a helper function to load it into numpy arrays:"
+ }
+ ],
+ "source": [
+ "n_samples, n_features = iris.data.shape\n",
+ "print((n_samples, n_features))\n",
+ "print(iris.data[0])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(150, 4)\n",
+ "(150,)\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import load_iris\n",
- "iris = load_iris()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 6
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "iris.keys()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 7,
- "text": [
- "dict_keys(['target_names', 'DESCR', 'data', 'target', 'feature_names'])"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "n_samples, n_features = iris.data.shape\n",
- "print((n_samples, n_features))\n",
- "print(iris.data[0])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(150, 4)\n",
- "[ 5.1 3.5 1.4 0.2]\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(iris.data.shape)\n",
- "print(iris.target.shape)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(150, 4)\n",
- "(150,)\n"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(iris.target)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
- " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
- " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n",
- " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
- " 2 2]\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(iris.target_names)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "['setosa' 'versicolor' 'virginica']\n"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This data is four dimensional, but we can visualize two of the dimensions\n",
- "at a time using a simple scatter-plot:"
+ }
+ ],
+ "source": [
+ "print(iris.data.shape)\n",
+ "print(iris.target.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n",
+ " 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n",
+ " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n",
+ " 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
+ " 2 2]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "\n",
- "x_index = 0\n",
- "y_index = 1\n",
- "\n",
- "# this formatter will label the colorbar with the correct target names\n",
- "formatter = plt.FuncFormatter(lambda i, *args: iris.target_names[int(i)])\n",
- "\n",
- "plt.scatter(iris.data[:, x_index], iris.data[:, y_index],\n",
- " c=iris.target, cmap=plt.cm.get_cmap('RdYlBu', 3))\n",
- "plt.colorbar(ticks=[0, 1, 2], format=formatter)\n",
- "plt.clim(-0.5, 2.5)\n",
- "plt.xlabel(iris.feature_names[x_index])\n",
- "plt.ylabel(iris.feature_names[y_index]);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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EfQYLj4vBRunMD3kWiK3OtIsR4TgpvfmzICKUmLjSs3Uz3IpZprwoKpyoqMjaBS2EEGe4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\nunUzL7+8gFQKhgwZxYABR0Qd6aA89dQMtmxZSzq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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Quick Exercise:\n",
- "\n",
- "**Change** `x_index` **and** `y_index` **in the above script\n",
- "and find a combination of two parameters\n",
- "which maximally separate the three classes.**\n",
- "\n",
- "This exercise is a preview of **dimensionality reduction**, which we'll see later."
+ }
+ ],
+ "source": [
+ "print(iris.target)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "['setosa' 'versicolor' 'virginica']\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Other Available Data\n",
- "They come in three flavors:\n",
- "\n",
- "- **Packaged Data:** these small datasets are packaged with the scikit-learn installation,\n",
- " and can be downloaded using the tools in ``sklearn.datasets.load_*``\n",
- "- **Downloadable Data:** these larger datasets are available for download, and scikit-learn\n",
- " includes tools which streamline this process. These tools can be found in\n",
- " ``sklearn.datasets.fetch_*``\n",
- "- **Generated Data:** there are several datasets which are generated from models based on a\n",
- " random seed. These are available in the ``sklearn.datasets.make_*``\n",
- "\n",
- "You can explore the available dataset loaders, fetchers, and generators using IPython's\n",
- "tab-completion functionality. After importing the ``datasets`` submodule from ``sklearn``,\n",
- "type\n",
- "\n",
- " datasets.load_ + TAB\n",
- "\n",
- "or\n",
- "\n",
- " datasets.fetch_ + TAB\n",
- "\n",
- "or\n",
- "\n",
- " datasets.make_ + TAB\n",
- "\n",
- "to see a list of available functions."
+ }
+ ],
+ "source": [
+ "print(iris.target_names)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This data is four dimensional, but we can visualize two of the dimensions\n",
+ "at a time using a simple scatter-plot:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn import datasets"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 13
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Type datasets.fetch_ or datasets.load_ in IPython to see all possibilities\n",
- "\n",
- "# datasets.fetch_"
- ],
- "language": "python",
+ "data": {
+ "image/png": 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UwXHleY47LCwMgBs3btCtWzdq1aqFVpt9vlRRFObMmVM8CYUQQghhlWfh/mf4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\nXL589SEmWVnZXL6c/+EsKSn+pKVd/UMgLS2DlJS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UqRLbtm1j+PDhRW7TVy/U8MWLSJo3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\ncIuIiFiICreIiIiF/B8KMCIrsG69twAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [],
- "prompt_number": 14
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# datasets.load_"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 15
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "In the next section, we'll use some of these datasets and take a look at the basic principles of machine learning."
- ]
+ "output_type": "display_data"
}
],
- "metadata": {}
+ "source": [
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "x_index = 0\n",
+ "y_index = 1\n",
+ "\n",
+ "# this formatter will label the colorbar with the correct target names\n",
+ "formatter = plt.FuncFormatter(lambda i, *args: iris.target_names[int(i)])\n",
+ "\n",
+ "plt.scatter(iris.data[:, x_index], iris.data[:, y_index],\n",
+ " c=iris.target, cmap=plt.cm.get_cmap('RdYlBu', 3))\n",
+ "plt.colorbar(ticks=[0, 1, 2], format=formatter)\n",
+ "plt.clim(-0.5, 2.5)\n",
+ "plt.xlabel(iris.feature_names[x_index])\n",
+ "plt.ylabel(iris.feature_names[y_index]);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Quick Exercise:\n",
+ "\n",
+ "**Change** `x_index` **and** `y_index` **in the above script\n",
+ "and find a combination of two parameters\n",
+ "which maximally separate the three classes.**\n",
+ "\n",
+ "This exercise is a preview of **dimensionality reduction**, which we'll see later."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Other Available Data\n",
+ "They come in three flavors:\n",
+ "\n",
+ "- **Packaged Data:** these small datasets are packaged with the scikit-learn installation,\n",
+ " and can be downloaded using the tools in ``sklearn.datasets.load_*``\n",
+ "- **Downloadable Data:** these larger datasets are available for download, and scikit-learn\n",
+ " includes tools which streamline this process. These tools can be found in\n",
+ " ``sklearn.datasets.fetch_*``\n",
+ "- **Generated Data:** there are several datasets which are generated from models based on a\n",
+ " random seed. These are available in the ``sklearn.datasets.make_*``\n",
+ "\n",
+ "You can explore the available dataset loaders, fetchers, and generators using IPython's\n",
+ "tab-completion functionality. After importing the ``datasets`` submodule from ``sklearn``,\n",
+ "type\n",
+ "\n",
+ " datasets.load_ + TAB\n",
+ "\n",
+ "or\n",
+ "\n",
+ " datasets.fetch_ + TAB\n",
+ "\n",
+ "or\n",
+ "\n",
+ " datasets.make_ + TAB\n",
+ "\n",
+ "to see a list of available functions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn import datasets"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# Type datasets.fetch_ or datasets.load_ in IPython to see all possibilities\n",
+ "\n",
+ "# datasets.fetch_"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "# datasets.load_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In the next section, we'll use some of these datasets and take a look at the basic principles of machine learning."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3.4",
+ "language": "",
+ "name": "python3.4"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.4.3"
}
- ]
-}
\ No newline at end of file
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/02.2-Basic-Principles.ipynb b/notebooks/02.2-Basic-Principles.ipynb
index 3febe50..46227f1 100644
--- a/notebooks/02.2-Basic-Principles.ipynb
+++ b/notebooks/02.2-Basic-Principles.ipynb
@@ -1,1317 +1,1419 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:9701231ff383bbebd1cfa4ac4377c880294eda4de0c139a001387cc301b42b35"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Basic Principles of Machine Learning"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here we'll dive into the basic principles of machine learning, and how to\n",
- "utilize them via the Scikit-Learn API.\n",
- "\n",
- "After briefly introducing scikit-learn's *Estimator* object, we'll cover **supervised learning**, including *classification* and *regression* problems, and **unsupervised learning**, including *dimensinoality reduction* and *clustering* problems."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "\n",
- "# use seaborn for plot defaults\n",
- "# this can be safely commented out\n",
- "import seaborn; seaborn.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## The Scikit-learn Estimator Object\n",
- "\n",
- "Every algorithm is exposed in scikit-learn via an ''Estimator'' object. For instance a linear regression is implemented as so:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.linear_model import LinearRegression"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "**Estimator parameters**: All the parameters of an estimator can be set when it is instantiated, and have suitable default values:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "model = LinearRegression(normalize=True)\n",
- "print(model.normalize)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "True\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(model)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "LinearRegression(copy_X=True, fit_intercept=True, normalize=True)\n"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "**Estimated Model parameters**: When data is *fit* with an estimator, parameters are estimated from the data at hand. All the estimated parameters are attributes of the estimator object ending by an underscore:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "x = np.arange(10)\n",
- "y = 2 * x + 1"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 5
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(x)\n",
- "print(y)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[0 1 2 3 4 5 6 7 8 9]\n",
- "[ 1 3 5 7 9 11 13 15 17 19]\n"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.plot(x, y, 'o');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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AVNiXAD/7zDuyseHqZwC4yUVYAFBAgAGggAADQAEBBoACAgwABQQYAAoIMAAUmOhzwK21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\nRK5CYII=\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# The input data for sklearn is 2D: (samples == 3 x features == 1)\n",
- "X = x[:, np.newaxis]\n",
- "print(X)\n",
- "print(y)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[[0]\n",
- " [1]\n",
- " [2]\n",
- " [3]\n",
- " [4]\n",
- " [5]\n",
- " [6]\n",
- " [7]\n",
- " [8]\n",
- " [9]]\n",
- "[ 1 3 5 7 9 11 13 15 17 19]\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# fit the model on our data\n",
- "model.fit(X, y)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 9,
- "text": [
- "LinearRegression(copy_X=True, fit_intercept=True, normalize=True)"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# underscore at the end indicates a fit parameter\n",
- "print(model.coef_)\n",
- "print(model.intercept_)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[ 2.]\n",
- "1.0\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# residual error around fit\n",
- "model.residues_"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 11,
- "text": [
- "3.944304526105059e-31"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The model found a line with a slope 2 and intercept 1, as we'd expect."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Supervised Learning: Classification and Regression\n",
- "\n",
- "In **Supervised Learning**, we have a dataset consisting of both features and labels.\n",
- "The task is to construct an estimator which is able to predict the label of an object\n",
- "given the set of features. A relatively simple example is predicting the species of \n",
- "iris given a set of measurements of its flower. This is a relatively simple task. \n",
- "Some more complicated examples are:\n",
- "\n",
- "- given a multicolor image of an object through a telescope, determine\n",
- " whether that object is a star, a quasar, or a galaxy.\n",
- "- given a photograph of a person, identify the person in the photo.\n",
- "- given a list of movies a person has watched and their personal rating\n",
- " of the movie, recommend a list of movies they would like\n",
- " (So-called *recommender systems*: a famous example is the [Netflix Prize](http://en.wikipedia.org/wiki/Netflix_prize)).\n",
- "\n",
- "What these tasks have in common is that there is one or more unknown\n",
- "quantities associated with the object which needs to be determined from other\n",
- "observed quantities.\n",
- "\n",
- "Supervised learning is further broken down into two categories, **classification** and **regression**.\n",
- "In classification, the label is discrete, while in regression, the label is continuous. For example,\n",
- "in astronomy, the task of determining whether an object is a star, a galaxy, or a quasar is a\n",
- "classification problem: the label is from three distinct categories. On the other hand, we might\n",
- "wish to estimate the age of an object based on such observations: this would be a regression problem,\n",
- "because the label (age) is a continuous quantity."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Classification Example\n",
- "K nearest neighbors (kNN) is one of the simplest learning strategies: given a new, unknown observation, look up in your reference database which ones have the closest features and assign the predominant class.\n",
- "\n",
- "Let's try it out on our iris classification problem:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn import neighbors, datasets\n",
- "\n",
- "iris = datasets.load_iris()\n",
- "X, y = iris.data, iris.target\n",
- "\n",
- "# create the model\n",
- "knn = neighbors.KNeighborsClassifier(n_neighbors=5)\n",
- "\n",
- "# fit the model\n",
- "knn.fit(X, y)\n",
- "\n",
- "# What kind of iris has 3cm x 5cm sepal and 4cm x 2cm petal?\n",
- "# call the \"predict\" method:\n",
- "result = knn.predict([[3, 5, 4, 2],])\n",
- "\n",
- "print(iris.target_names[result])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "['versicolor']\n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "You can also do probabilistic predictions:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "knn.predict_proba([[3, 5, 4, 2],])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 13,
- "text": [
- "array([[ 0. , 0.8, 0.2]])"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from fig_code import plot_iris_knn\n",
- "plot_iris_knn()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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klOpsIBJbAv8c23Hxu1wZlK8JDw4mvVMnLJXtdL2e0B49nN5uYPfuZFUeSzMD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\nCuaOnZt1nSLSPD1KNUFK4CJyTPTl0WYV8lGqmkI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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "---\n",
- "\n",
- "#### Exercise\n",
- "\n",
- "Use a different estimator on the same problem: ``sklearn.svm.SVC``.\n",
- "\n",
- "*Note that you don't have to know what it is do use it. We're simply trying out the interface here*\n",
- "\n",
- "*If you finish early, try to create a similar plot as above with the SVC estimator.*"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.svm import SVC"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 15
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 15
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "---"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Regression Example\n",
- "\n",
- "One of the simplest regression problems is fitting a line to data, which we saw above.\n",
- "Scikit-learn also contains more sophisticated regression algorithms"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Create some simple data\n",
- "import numpy as np\n",
- "np.random.seed(0)\n",
- "X = np.random.random(size=(20, 1))\n",
- "y = 3 * X.squeeze() + 2 + np.random.randn(20)\n",
- "\n",
- "plt.plot(X.squeeze(), y, 'o');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "As above, we can plot a line of best fit:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "model = LinearRegression()\n",
- "model.fit(X, y)\n",
- "\n",
- "# Plot the data and the model prediction\n",
- "X_fit = np.linspace(0, 1, 100)[:, np.newaxis]\n",
- "y_fit = model.predict(X_fit)\n",
- "\n",
- "plt.plot(X.squeeze(), y, 'o')\n",
- "plt.plot(X_fit.squeeze(), y_fit);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 17
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Scikit-learn also has some more sophisticated models, which can respond to finer features in the data:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# Fit a Random Forest\n",
- "from sklearn.ensemble import RandomForestRegressor\n",
- "model = RandomForestRegressor()\n",
- "model.fit(X, y)\n",
- "\n",
- "# Plot the data and the model prediction\n",
- "X_fit = np.linspace(0, 1, 100)[:, np.newaxis]\n",
- "y_fit = model.predict(X_fit)\n",
- "\n",
- "plt.plot(X.squeeze(), y, 'o')\n",
- "plt.plot(X_fit.squeeze(), y_fit);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Whether either of these is a \"good\" fit or not depends on a number of things; we'll discuss details of how to choose a model later in the tutorial."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "---\n",
- "\n",
- "#### Exercise\n",
- "\n",
- "Explore the ``RandomForestRegressor`` object using IPython's help features (i.e. put a question mark after the object).\n",
- "What arguments are available to ``RandomForestRegressor``?\n",
- "How does the above plot change if you change these arguments?\n",
- "\n",
- "These class-level arguments are known as *hyperparameters*, and we will discuss later how you to select hyperparameters in the model validation section.\n",
- "\n",
- "---"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Unsupervised Learning: Dimensionality Reduction and Clustering\n",
- "\n",
- "**Unsupervised Learning** addresses a different sort of problem. Here the data has no labels,\n",
- "and we are interested in finding similarities between the objects in question. In a sense,\n",
- "you can think of unsupervised learning as a means of discovering labels from the data itself.\n",
- "Unsupervised learning comprises tasks such as *dimensionality reduction*, *clustering*, and\n",
- "*density estimation*. For example, in the iris data discussed above, we can used unsupervised\n",
- "methods to determine combinations of the measurements which best display the structure of the\n",
- "data. As we'll see below, such a projection of the data can be used to visualize the\n",
- "four-dimensional dataset in two dimensions. Some more involved unsupervised learning problems are:\n",
- "\n",
- "- given detailed observations of distant galaxies, determine which features or combinations of\n",
- " features best summarize the information.\n",
- "- given a mixture of two sound sources (for example, a person talking over some music),\n",
- " separate the two (this is called the [blind source separation](http://en.wikipedia.org/wiki/Blind_signal_separation) problem).\n",
- "- given a video, isolate a moving object and categorize in relation to other moving objects which have been seen.\n",
- "\n",
- "Sometimes the two may even be combined: e.g. Unsupervised learning can be used to find useful\n",
- "features in heterogeneous data, and then these features can be used within a supervised\n",
- "framework."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Dimensionality Reduction: PCA\n",
- "\n",
- "Principle Component Analysis (PCA) is a dimension reduction technique that can find the combinations of variables that explain the most variance.\n",
- "\n",
- "Consider the iris dataset. It cannot be visualized in a single 2D plot, as it has 4 features. We are going to extract 2 combinations of sepal and petal dimensions to visualize it:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X, y = iris.data, iris.target\n",
- "from sklearn.decomposition import PCA\n",
- "pca = PCA(n_components=2)\n",
- "pca.fit(X)\n",
- "X_reduced = pca.transform(X)\n",
- "print(\"Reduced dataset shape:\", X_reduced.shape)\n",
- "\n",
- "import pylab as pl\n",
- "pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y,\n",
- " cmap='RdYlBu')\n",
- "\n",
- "print(\"Meaning of the 2 components:\")\n",
- "for component in pca.components_:\n",
- " print(\" + \".join(\"%.3f x %s\" % (value, name)\n",
- " for value, name in zip(component,\n",
- " iris.feature_names)))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "Reduced dataset shape: (150, 2)\n",
- "Meaning of the 2 components:\n",
- "0.362 x sepal length (cm) + -0.082 x sepal width (cm) + 0.857 x petal length (cm) + 0.359 x petal width (cm)\n",
- "-0.657 x sepal length (cm) + -0.730 x sepal width (cm) + 0.176 x petal length (cm) + 0.075 x petal width (cm)\n"
- ]
- },
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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Yu5+jX3/Lsb17aXcxGxeTSkK/Njz/xXzc3NzsEb2wgp49rVOp62fHju1i0mTL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\nmCh6Zsz4gLLyVmy5Lkk8UciHH81RSQdKx6RFJBi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CWAAAAABJRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 19
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "#### Clustering: K-means\n",
- "\n",
- "Clustering groups together observations that are homogeneous with respect to a given criterion, finding ''clusters'' in the data.\n",
- "\n",
- "Note that these clusters will uncover relevent hidden structure of the data only if the criterion used highlights it."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cluster import KMeans\n",
- "k_means = KMeans(n_clusters=3, random_state=0) # Fixing the RNG in kmeans\n",
- "k_means.fit(X)\n",
- "y_pred = k_means.predict(X)\n",
- "\n",
- "pl.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y_pred,\n",
- " cmap='RdYlBu');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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5deoYEyd1xsXFkVUrv2TQoOk4OjraInxhBX0njoeJ1ptfeteCxTS5MbmJFoV6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\nKDlJ0jYQHX2C3n30BdtDh3bhq69WYTT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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 20
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Recap: Scikit-learn's estimator interface\n",
- "\n",
- "Scikit-learn strives to have a uniform interface across all methods,\n",
- "and we'll see examples of these below. Given a scikit-learn *estimator*\n",
- "object named `model`, the following methods are available:\n",
- "\n",
- "- Available in **all Estimators**\n",
- " + `model.fit()` : fit training data. For supervised learning applications,\n",
- " this accepts two arguments: the data `X` and the labels `y` (e.g. `model.fit(X, y)`).\n",
- " For unsupervised learning applications, this accepts only a single argument,\n",
- " the data `X` (e.g. `model.fit(X)`).\n",
- "- Available in **supervised estimators**\n",
- " + `model.predict()` : given a trained model, predict the label of a new set of data.\n",
- " This method accepts one argument, the new data `X_new` (e.g. `model.predict(X_new)`),\n",
- " and returns the learned label for each object in the array.\n",
- " + `model.predict_proba()` : For classification problems, some estimators also provide\n",
- " this method, which returns the probability that a new observation has each categorical label.\n",
- " In this case, the label with the highest probability is returned by `model.predict()`.\n",
- " + `model.score()` : for classification or regression problems, most (all?) estimators implement\n",
- " a score method. Scores are between 0 and 1, with a larger score indicating a better fit.\n",
- "- Available in **unsupervised estimators**\n",
- " + `model.predict()` : predict labels in clustering algorithms.\n",
- " + `model.transform()` : given an unsupervised model, transform new data into the new basis.\n",
- " This also accepts one argument `X_new`, and returns the new representation of the data based\n",
- " on the unsupervised model.\n",
- " + `model.fit_transform()` : some estimators implement this method,\n",
- " which more efficiently performs a fit and a transform on the same input data."
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Basic Principles of Machine Learning"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here we'll dive into the basic principles of machine learning, and how to\n",
+ "utilize them via the Scikit-Learn API.\n",
+ "\n",
+ "After briefly introducing scikit-learn's *Estimator* object, we'll cover **supervised learning**, including *classification* and *regression* problems, and **unsupervised learning**, including *dimensinoality reduction* and *clustering* problems."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "# use seaborn for plot defaults\n",
+ "# this can be safely commented out\n",
+ "import seaborn; seaborn.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The Scikit-learn Estimator Object\n",
+ "\n",
+ "Every algorithm is exposed in scikit-learn via an ''Estimator'' object. For instance a linear regression is implemented as so:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.linear_model import LinearRegression"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Estimator parameters**: All the parameters of an estimator can be set when it is instantiated, and have suitable default values:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "True\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Model Validation\n",
- "\n",
- "An important piece of machine learning is **model validation**: that is, determining how well your model will generalize from the training data to future unlabeled data. Let's look at an example using the *nearest neighbor classifier*. This is a very simple classifier: it simply stores all training data, and for any unknown quantity, simply returns the label of the closest training point.\n",
- "\n",
- "With the iris data, it very easily returns the correct prediction for each of the input points:"
+ }
+ ],
+ "source": [
+ "model = LinearRegression(normalize=True)\n",
+ "print(model.normalize)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=True)\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.neighbors import KNeighborsClassifier\n",
- "X, y = iris.data, iris.target\n",
- "clf = KNeighborsClassifier(n_neighbors=1)\n",
- "clf.fit(X, y)\n",
- "y_pred = clf.predict(X)\n",
- "print(np.all(y == y_pred))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "True\n"
- ]
- }
- ],
- "prompt_number": 21
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "A more useful way to look at the results is to view the **confusion matrix**, or the matrix showing the frequency of inputs and outputs:"
+ }
+ ],
+ "source": [
+ "print(model)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "**Estimated Model parameters**: When data is *fit* with an estimator, parameters are estimated from the data at hand. All the estimated parameters are attributes of the estimator object ending by an underscore:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "x = np.arange(10)\n",
+ "y = 2 * x + 1"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[0 1 2 3 4 5 6 7 8 9]\n",
+ "[ 1 3 5 7 9 11 13 15 17 19]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.metrics import confusion_matrix\n",
- "print(confusion_matrix(y, y_pred))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[[50 0 0]\n",
- " [ 0 50 0]\n",
- " [ 0 0 50]]\n"
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "For each class, all 50 training samples are correctly identified. But this **does not mean that our model is perfect!** In particular, such a model generalizes extremely poorly to new data. We can simulate this by splitting our data into a *training set* and a *testing set*. Scikit-learn contains some convenient routines to do this:"
+ }
+ ],
+ "source": [
+ "print(x)\n",
+ "print(y)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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dSyTH1XliyGAaAICfEGAAAAwQ4BlEytxpx1wnqMaacoNpAAB+QoBn0FxbIdcJTj12naA6\nGioVLnUMpwIA+AEBnkVjTblcJ6hVK0rY+QIA5gxfQ5pFuNRRR0OlQiFHIyN8+hkAMDfYAQMAYIAA\nAwBggAADAGCAAAMAYIAAAwBggAADAGCAAAMAYIAAAwBggAADAGCAAAMAYIAAAwBggAADAGCAAAMA\nYIAAAwBggAADAGCAAAMAYIAAAwBggAADAGCAAAMAYIAAAwBggAADAGCAAAMAYKAgAb6r+QW1RwcK\n8VYAAHhCQQKcTkuxeEJNXX06fzFZiLcEAGBeK+gl6ERyXJ0nhgr5lgAAzEv8GzAAAAYKGmDXCaqx\npryQbwkAwLxUXKg3cp2gOhoqC/V2AADMawUJ8KoVJXqw+pZCvBUAAJ5QkAA/8/idGhnh088AALyH\nD2EBAGCAAAMAYIAAAwBggAADAGCAAAMAYIAAAwBggAADAGAgp+8BT05Oat++ffrjH/+o6667Tk8+\n+aQ++clPzvVsAAD4Vk474JdeekmpVErRaFTNzc06dOjQXM8FAICv5RTg3/3ud/r85z8vSbr11lv1\n2muvzelQAAD4XU4BHh0d1bJly6YeL1q0SJOTk3M2FAAAfpfTvwEvW7ZMV65cmXo8OTmpoqKZWx4K\nObm81bzihzVI/liHH9YgsY75xA9rkPyxDj+sIRM57YDXr1+vM2fOSJJeffVV3XzzzXM6FAAAfhdI\np9PpbF+UTqe1b98+vf7665KkgwcPas2aNXM+HAAAfpVTgAEAwLXhRhwAABggwAAAGCDAAAAYIMAA\nABjI6XvAmfDb/aIHBwfV3t6unp4e61Gylkql9Oijj+rNN9/UxMSEdu/erS9+8YvWY2XtP//5j/bu\n3at4PK5AIKD9+/frpptush4rJ//4xz90zz336JlnnvHsNwiqq6unbsizevVqPfXUU8YT5aa7u1un\nT59WKpXSzp07VV1dbT1SVp5//nn19vZKksbHx3Xu3Dn19/f/382SvGByclKtra2Kx+MqKirSd77z\nHX3qU5+yHitrExMT2rt3r/7617+quLhYe/fu1bp16z70uXkL8PvvFz04OKhDhw7phz/8Yb7eLq+O\nHTumkydPaunSpdaj5OTFF1/UypUrdfjwYb399tvaunWrJwN8+vRpFRUV6fjx4zp79qy+//3ve/L/\nqVQqpccff1yLFy+2HiVn4+PjkuTJE9L3++1vf6uBgQFFo1G98847evrpp61Hylp1dfXUScOBAwe0\nfft2z8VXkn79619rbGxMx48fV39/v37wgx+os7PTeqysPffccyopKVE0GtVf/vIXNTU1TZ0gfVDe\nLkH76X7R4XBYR44ckVe/sVVVVaXGxkZJV88yFy1aZDxRbjZv3qwDBw5Ikv7+979rxYoVxhPl5nvf\n+57uvfdehUIh61Fydu7cOY2Njam+vl67du3S4OCg9Ug56evr080336yvf/3r+trXvubJE9P3/P73\nv9ef/vQnbd++3XqUnJSUlCiZTCqdTiuZTOq6666zHiknf/7zn7Vp0yZJ0po1a/TWW29pdHT0Q5+b\ntx3wR90verZbVs5HW7Zs0RtvvGE9Rs6WLFki6erfyUMPPaSHH37YeKLcLVq0SC0tLfrFL37hybPj\n3t5erVy5Urfffru6u7s9e1K3ePFi1dfXa/v27YrH4/rqV7+qU6dOee7n+/Lly7pw4YK6u7v1t7/9\nTbt379bPf/5z67Fy0t3drW984xvWY+Rs/fr1mpiYUFVVlf75z3/q6NGj1iPlJBKJ6PTp09q8ebNe\nffVVXb58We+8886HXpXI209LLveLRv5cuHBBu3bt0tatW/WlL33JepxrcujQIZ06dUqPPfaY/v3v\nf1uPk5Xe3l719/errq5O586dU0tLiy5dumQ9VtbKysp01113Tf33DTfcoJGREeOpsue6rm6//XYV\nFxdrzZo1CgaDunz5svVYWfvXv/6leDyu2267zXqUnD399NNav369Tp06pRdeeEEtLS2amJiwHitr\nNTU1WrZsme677z699NJLUz8fHyZvReR+0fPHpUuX9MADD+hb3/qW7rnnHutxcvbTn/5U3d3dkq5e\nrgoEAp47qXv22WfV09Ojnp4erVu3Tt/97nf1sY99zHqsrPX29k79HvD3LrF58ZL6Zz7zGf3qV7+S\ndHUdY2Njcl3XeKrsvfLKK9q4caP1GNdkbGxs6nM2y5cvVyqV8uRv2RsaGtLGjRv1k5/8RHfeeadC\noZCuv/76D31u3i5B33HHHerr61Ntba2kq/eL9rpAIGA9Qk6OHj2qZDKprq4udXV1Sbp6thkMBo0n\ny05VVZVaWlq0c+dOvfvuu2ptbf3I/7GRX9u2bdMjjzyiHTt2SLr68+21kyFJ+sIXvqBXXnlF27Zt\n0+TkpNra2jz5cx6Pxz39LRNJqq+v1yOPPKL77rtP7777rpqamlRSUmI9VtbWrFmjhx9+WN3d3br+\n+uv1xBNPfORzuRc0AAAGvHfKCgCADxBgAAAMEGAAAAwQYAAADBBgAAAMEGAAAAwQYAAADPwXXLJE\n9yABLeUAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(x, y, 'o');"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[0]\n",
+ " [1]\n",
+ " [2]\n",
+ " [3]\n",
+ " [4]\n",
+ " [5]\n",
+ " [6]\n",
+ " [7]\n",
+ " [8]\n",
+ " [9]]\n",
+ "[ 1 3 5 7 9 11 13 15 17 19]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cross_validation import train_test_split\n",
- "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y)\n",
- "clf.fit(Xtrain, ytrain)\n",
- "ypred = clf.predict(Xtest)\n",
- "print(confusion_matrix(ytest, ypred))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[[12 0 0]\n",
- " [ 0 6 0]\n",
- " [ 0 2 18]]\n"
- ]
- }
- ],
- "prompt_number": 23
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This paints a better picture of the true performance of our classifier: apparently there is some confusion between the second and third species, which we might anticipate given what we've seen of the data above.\n",
- "\n",
- "This is why it's **extremely important** to use a train/test split when evaluating your models. We'll go into more depth on model evaluation later in this tutorial."
+ }
+ ],
+ "source": [
+ "# The input data for sklearn is 2D: (samples == 10 x features == 1)\n",
+ "X = x[:, np.newaxis]\n",
+ "print(X)\n",
+ "print(y)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=True)"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# fit the model on our data\n",
+ "model.fit(X, y)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[ 2.]\n",
+ "1.0\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Flow Chart: How to Choose your Estimator\n",
- "\n",
- "This is a flow chart created by scikit-learn super-contributor [Andreas Mueller](https://github.com/amueller) which gives a nice summary of which algorithms to choose in various situations. Keep it around as a handy reference!"
+ }
+ ],
+ "source": [
+ "# underscore at the end indicates a fit parameter\n",
+ "print(model.coef_)\n",
+ "print(model.intercept_)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "3.944304526105059e-31"
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "# residual error around fit\n",
+ "model.residues_"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The model found a line with a slope 2 and intercept 1, as we'd expect."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Supervised Learning: Classification and Regression\n",
+ "\n",
+ "In **Supervised Learning**, we have a dataset consisting of both features and labels.\n",
+ "The task is to construct an estimator which is able to predict the label of an object\n",
+ "given the set of features. A relatively simple example is predicting the species of \n",
+ "iris given a set of measurements of its flower. This is a relatively simple task. \n",
+ "Some more complicated examples are:\n",
+ "\n",
+ "- given a multicolor image of an object through a telescope, determine\n",
+ " whether that object is a star, a quasar, or a galaxy.\n",
+ "- given a photograph of a person, identify the person in the photo.\n",
+ "- given a list of movies a person has watched and their personal rating\n",
+ " of the movie, recommend a list of movies they would like\n",
+ " (So-called *recommender systems*: a famous example is the [Netflix Prize](http://en.wikipedia.org/wiki/Netflix_prize)).\n",
+ "\n",
+ "What these tasks have in common is that there is one or more unknown\n",
+ "quantities associated with the object which needs to be determined from other\n",
+ "observed quantities.\n",
+ "\n",
+ "Supervised learning is further broken down into two categories, **classification** and **regression**.\n",
+ "In classification, the label is discrete, while in regression, the label is continuous. For example,\n",
+ "in astronomy, the task of determining whether an object is a star, a galaxy, or a quasar is a\n",
+ "classification problem: the label is from three distinct categories. On the other hand, we might\n",
+ "wish to estimate the age of an object based on such observations: this would be a regression problem,\n",
+ "because the label (age) is a continuous quantity."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Classification Example\n",
+ "K nearest neighbors (kNN) is one of the simplest learning strategies: given a new, unknown observation, look up in your reference database which ones have the closest features and assign the predominant class.\n",
+ "\n",
+ "Let's try it out on our iris classification problem:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "['versicolor']\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from IPython.display import Image\n",
- "Image(\"http://scikit-learn.org/dev/_static/ml_map.png\")"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
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kZGQYZOzEa6+95jX08NBDDzlsf+DAgQcVlIiJiXF5HuS9BV+7VzoH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U2rkpJoY2Ym7SgoEK1YcP/HtdGpGIs8Hgcm63NyrIoS8+fPJxS7hlLhTo6BR7ENRTcUtN1y\ntuj70oLjj8A8WhCUS4sjy8gtcQV5Zawm//zWni04umWJ3kSJVz/8UYgGF106vFeh4M0vp9skSuB7\nlueso/nqHPrtz3CR8nDF1df3myiB7/ZMa6Y5fmn0y5IQ+sbe65hFCUtJwlrLjaX5u2w8H12ixEzX\nMN2CBQu0Li4uWh8fHyEwxMbGmpIecnNzpZr339f3hySxcsQISn/rLb2/u7s2MDBQGxoaKloEJCcn\ni+8qLi4Wb79DxGlpaRHXGlq+yG/A449c3GVZghmKaRJyuyPcbyE17M+eorNFkjCoh1F0oJNW2XYj\nPz9fpLRw2w2GYRiGYRiGYVGCGST4+fnpLR8yLpg3jx/CMgzDokQfRIkXnabTpKWz6TUfB/qPypne\niVhG7yf40kfpalFc/6IoSqRKyLIEUgpQhBfSBDPgwLkRSRLdkgTSJNBCBQkhk9P9WJQYxKKEcqzv\nNo51FMk3ZWXRmpQU0YoBSQNIHEjz9qY4V1cKX9zVssHPeB69jf+P5DlrFrnPnElu06cLXI3nWPzd\nDc65q+JnRnFsZIzH6E8wdSoFfPwxVd57L6nfe48W//orOf3yCzmCn3/uovtnTMd8GefffycX4+eX\nGsF65POwzHhuPIz42NlRgPH/Z4MWLhRJEpAk0o3ntEClosrwcGo0jsOW1FTRegUtWOSxiGuDRYnB\ngZfxvmpNlqioqNAO9uIdimhyFDwK1bt27Tq0detWkSqB4ltuaa0082gtHsxacOwk+4BsWhRaSC4x\nleSe0kjLs1vMWnBE1u3vkiWatL3KEk+8+KYQDa656bZepYJPpzsfUZTwzlwjWmucc+75YpmLL7uC\n7hj9KD3wxHN0/oUXH7cosTCkgB5+5mWRejFs2DAhX9w9Zjw9OP75YxIljihJdLfc8CnaSdMz+3A+\nYjYa7OfO1S5evFjr4eEh5IXo6GitLC6g0Iro/iLj3w0TJ+r7K1Wi/s47KeXLL3Vq4/dFRESIVAm0\nCSgsLBSF3YaGBiHjtLa2anC9obiLwjEKyL2lSvyVhd7OLVs0hkEsQjED816L61pxr9Vsa1uv0Yde\naFOaRJvqLgNa5oSHh4u2GxkZGWLs1tTUiISWjRs3mtpuyOksyjQJFiUYhmEYhmEYhkUJZgBg/KVO\nZ+0hIx4S80NYhmFYlOibKDHZaz69EbiY3g5zo//GedOHqQGiuI5UCSQSoOCOwrsQJioTRCGeGYAY\nzw3O0VdlcSINBKLLZ3lh9HFmEL2astx2UWLqVBYlBpAoIY91HO9DVVWi/QaK5BjvOCfNiYlUFx1N\nZcbzlB8YSOk+PqJVQ6zx/KHYHuroSMELF5LKwYFUCxZQ4Pz5FCAzb574mbEOjo8MxgTEE197e1L9\n9pupiFf82GOk+u47IaIsmzHDDMgPHrNmkdcff5CX8f9TIUKA5cZ1YD1YnzgHxvMSZDw/OFc4Z3FL\nl1Kyh4cYfzinEGEgxMhpEtsUbTdwTeDaYFFicLAiJcWqKOHj46MfKnHw8lvOiGzHW85yqgSKcIF5\n63Q2p0oYmRG/ieapsnu04AgsaqOQ8nYKr94j2kignQRkCWstOCa+9oEQDa669qZexYIPfnHoVZSA\nnHHJ8KvEvHsfmUAeqU392nrDzjeVzjjjTLHMC299LiSQ42m9oZQkgEmSMO4XxBJsU0BJO83M0tgu\nSWRK9IeTl27hwoVaV1dXra+vr5AWuiP7NYWFhRrE9peXlwtKU1OlptGjDf3ZhqPuwQcNKTNndsbE\nxIg34OX2G3V1daK4u379elP7DVtSJfpS7N2flSXJ29H2xRdmrXI2vfuukEI0jY0aeZr+wIFD237+\nWbdm1Kiu7R8xgtZPmGA4WFQk8bMc5njTJJT3WTm9Z1eFk9bWthu5gV/pgoODRduNpKQkKTs7W4wl\ny7YbsnCE7+I0CYZhGIZhGIZhUYIZYBh/obMqSuwuL+eHsAzDsChhoyjxwqKp9JLLLHrVYy7928+R\n3gz+k96N9qD3E33pozSVSZb4vCCyS5goiRHSBDOA6RYkPi+I6JIksoKF+PJKkjeLEoNYlFC238B4\nR8uF9sJC2pKbK87L6uRkkTaA1gwoqpcEB1OhWi1SJnL8/ATZRrJ8fY9IdvdyTM/jhbEACQWpHame\nntR8yy2mAl7ziBFUMmkSxc6bJ0SHSGdnQbSLixhHsUuXiqSPBDc3SnR3FxJEinEdaV5eYn0ZxvVm\nGdeP78Q5Q4JEcVCQSJHAOW1KSBDpIZAkcJ+X0yTkthuWY5HH48AF52jRggVWZQkUu4ZK+w28gYzI\ndjlVAkVstEgoK6/QOGTtMvRFlpgV1WxqweGaUEde6avIL3cDqYq2iPYRR5Ml3vxqhhANzvvbhb3K\nBa99/HOvosSz//6oK0Xi8itFywrLz9581+jjEiWuv/UuMf+eh5/qMa+vooTVJAnjMTFJElW7Kah0\nB9lnH6A+CSv+ufq5c+dqnZ2dtd7e3iKyH8kOmZmZSHbQVFRUQISRamtrRTsM/FyuVmubR46k/pQl\nQPWECYbMZcu0+G68BV9VVWVKlcCb8Fu2bNFgLEHUUcoSymSJvgoTSlFi1U03kWbFCulIokTr5Mli\n2pp77jG0ffaZbuOkSV0JGzffTCxLMP2V3IO0B0hBSH+Q4u/X2yJJHFJfSEEqf9HKBtJRamqqVFBQ\nINJZcI9G2w2MIW67wTAMwzAMwzAsSjADnLy8vE5rDxg35+fzQ1iGYViUsFGUeN7hd/rX4hn0stsc\n0X7jDdWSrlSJWG8hS3yYGijSCCBMoBUHCu9d4kQEMwDBucE5wrnCOcO5gySBdiqT4j1sui6ujV/I\nrTcG4FhXtt/AsUeqxK7uFhxtOTni3KxNTaWVCQnUEBcniuvVkZGi0F4eFibSJkpDQpg+AuGkGAQF\nUZFaLQQGIZ/4+1PjQw/1KOCtvPVWKpwyheKWLOkhR8hihJAifH3FOrAuJEZgvUXG78D3YbxVRkRQ\nbVSUSJHAOUW7DUgSEGMgyOxWpEnIbTdwjbAkMThIMZ5ra7/HZGVldQ6Ft51RxOstVaK2tlaTUlCj\nndGXlg9G/girJofgfHKOriC3pHryylhNfnkbSV28VcgSEBh6kyW+snM3yQZY3ppg8PDEV3oVJW66\n/V4xHW0wrH320iv+ccyiBLZ52GmnifnvfDe7x3zso62ixNEkCQglSOFYlLuvT5LEtPgtBvt5Czod\nHR217u7uouVGVFSUNi0tDe02NOXl5RqkOqC9ysqVKyX8jZ8rKys1lQ4Onf0tSsiyQuXbb+vzEhIk\nJFkgrQRF3rVr15pacECWQBEZxV5lG45jSZeQRYmWsWNFSsbm997T9yZKyMuuufNO0q5fb5Intk+b\npsP0ja+8oufnOczxpEngOsYfXNsQGnbWh9icJtEQ+Jw+KChIJMIkGMcPhKPi4mJITppVq1YJ2Wj7\n9u2mthtyIgtLEgzDMAzDMAzDogQzwKiqqtJae8DYnJHBD2AZhmFRwoaC+Jk5S+henz/oPj87Gq2a\nSw+FONDYSCd6JNaFHktwpcdT3OmJVA8an+FF4zO96cksH8FT2cvpqRxfZiBiPDfyecI5G5/uJc7h\nuORldH/Sn8ckSmSxKDFgUyVwHmRZAgX01qwsWp+eLoQJtGhAgR0pExAnUHAHK2JimD6AliaQTiAt\nmMQT43iA0FD/7LO9FvEa7rmHcr/+mhLd3EQbFCRQpHt7C0Ei199fyBEQL7CespAQsd6qiAiq6ZYj\ncM6QIrE6JYXWpaVRq0KSwDmHKHOwO01CliQ4TWLwsMV4Hq39HuPs7GwYzIUo5RvPlqkSeON5w4YN\nKKSLtAGf7LV9asExLUNDdmHVtCi0kFxiKmlZcgN5Z64h//xWUpdso9CKjl5lCa+0ZpOM8OXsZVZl\nhbPPPa9XUeK2e8eK6UiOsPwspA35c49MfLXHfMgKp51+epcI8e0fVufLbTdefOfLHvO/nedjWj/a\ng/RJklC025AlicW5e/omSaDlxpLlOgcHB+3SpUtFy42wsDBtcnIyJAkJ5xJx/Wh9AUmhpaVFCDE4\nz5iONhw1X3yhOyGyBOS0UaMM5XPndqJtAAq9siwhJ0tA0jFef6KFAIq+lukStgoTsvywffp03bpx\n44QscdD4ndZEiR12dkIO2frDD2YtOiBNyNut37+fn+kwxyyiyWkSENEgNUjx9+ltFSViAx06kQgT\nHR0tYRzn5uaKdjlIZcHY2bx5s5CM5LYbnCbBMAzDMAzDMCxKMAOU5uZmydoDxqqEBH4AyzAMixI2\nFMQZpldRAq035s07LEqEhbEoMQBECXnMW5Ml0IoB5wbF9E1ZWSJ9AOcLRXakEYC1TJ9BuwvICquS\nk6k5MVGIJytiY7uEhnfeOWoRr+7RRyln5kzRXgPpLEiREG01IEh0J0dgXXUxMV1yhHH9kFzWQpBI\nTxfncXN2Nm2VJYniYtP4s2y5waLE4MLd2dmqLNHS0iINlWKenCqBghsKb21tbaIQhwJ6cWmZND+z\nby04pmdoaE54NTmGFZFLbBW5pzSST9baI8oSEAYgDox9+iUhG1x06XDxOVkwwHJjJ0yiG28bZRIS\n0NpDKSE8/+ZnYvqwYcPE98nT8b2QKG4d9aCYf8foR61KDMP/fu0R58uJFVdec6PYdnn64shSsV1X\nXn2DmP/qhz/+xZKElmYE5OvnzZtnarkRHBysjYuL02ZlZSHJQZxLvIWO1iqtra2HIChAiIEwAVkC\n8kJ5SYlU/69/6U+ULAHqn39eXxEdrUWyBBItVq9eLbYJRV9IOnjrXm7F0Vu6hFKY6E2U2Pb777o9\n4eFa/Lv19df11kSJtk8+EWLITmdn84QY4/esGjFCbK/U3KzhZzpMf6RJ7KoPsDlNYqtqpEGtVmvD\njdewcRxL6enpaJ0j2uVgvGLsIo0FchHGijxO8L22tqlhGIZhGIZhGIZFCeYvYtOmTVZFifzISH74\nyjAMixJc8GeOVZRIWESuSJSwECWQTsCixMBIlZDHPQrlchuOPaWlJmECCRPbjOcJ9wOIE2jNIYOi\nO2M7kE6Q1IFrX6R1QJpISqLGuDhq/O47m4t4Vc8/TzmOjpTj50cFgYGilQeSKaojIkRqBda3MjFR\niBmQWvB9+G6cM5zLduN5RbsNjL0DVlpusCQx+CiOibEqSsTExOgGe1FPLujJbz6j4IYYd7z5jEI6\n0gdQmEvLK5NmZR6gviZLzI2oIcfwYvozrrqHLIE2HBADIBxAFIAwAHFgWVK9EBEgHCDB4dZRD9Hd\nY8bTeX+7kK6/5U6RVCGLEiPuuI+++MONlme3mNpfYDnMO/30M0QLjvsfm0jnnn8BfTHLlb6x9zKJ\nFG98/rvpczJvfT3TtG58J9b94a+LhNSA+XbLU0zzsc7H/vka3fnAY+LfaDcy8fUPxby/XXQJffy7\nE0XU7ushSMiSBOQQIUmsOCgkibCq3d2SxO4+SxLTIlcb5tjP7XRyctJ6eHhoVSqV1nh9alFcLSoq\n0kBKwLlct26daK2yZcsWJIccQpID2l/IsgSWK8vIkBofeshwImWJ5ltuoZofftBVlZZK9fX1Ytuw\nDdiWo6VLHK0dhyxKbP3pJx2Eh/UTJoh9wfRNU6aYixKfftolSixZ0lOUuOmmLlFi1SoWJZg+J/X0\nTJPYptHG3mmwVZTIV32ug+wUFRUlJSUlSdnZ2aJ1DYQnJMFgHGOcYN0QirjtBsMwDMMwDMOwKMEM\nYHbv3q2x9nAxWa3mh68Mw5zSokQdixLMcXBdwiJymz6dAufPp9ilSynb19ckSuDtdhYlTp4oYSlL\nyMkSKJof6BYmcG5kaQJ0FBcLeUIJkgkY24B0sr1bOoG0sKm7vcnq5GRqmju3b0W8m2+myrffpnxP\nT9F2A6IE2m2gxYcpSUKWJLKzaYssSXS329hjPLf7KyrE2MN9H+e/0whLEoOTfcbzaGdn1+N3mfnG\ney+KU0Pt7WcUpzs6OkTBGoV1xLyXl5drorJrtNMzJepzskRkHTlFlPSUJYq3mmQJiAKyLAGBILhs\nh0iHGHHn/XTOuefTFVdfTy9N+ca0/N0PPWHGbJ9kk+zgkdokWmtcesU/6Nzz/kYj7xlD01yjxDzX\nhDqzz83xSzMTJZBa8c53s+mam26js845V0gXdz34uBA45GXs/TPEZy+46FLBA088J1qMYN4vS0LM\n1h9QsMl6ioRxH/FdkCQgU0CSCCprp4U5+/ouSSTuoNnzFnUuXLhQ6+rqqvX39xdvoaekpIiWG5WV\nlUKCkFMbtm/fjtQQvOEu/kaKAwQFJIigHQbEmNLQUG3z7bfTiZQlQNPYsYYqHx8t0iyspUsg3QTi\nDt7Il9Ml5IJwb+kSJlHixx+FyLQvIUGkSmx44QW9LEaYWm/Y24vWG1u++8689UZLy+HWGwcO8DMd\n5vjTJGo9bU6T2KO60qBWBYjWObGxsVJqaqpUUFCAsSxhjOK+jPsz1ov14w+33WAYhmEYhmEYFiWY\nAQweZFgTJdQeHvzwlWEYFiW44M8chyixbMYMUjk4UJyrq2gVUBkeLtoOtLIoMSBlCTldAsIEzgvu\nByioA8gTMjhvTN+AdLK7WzgRSR3GeyySJiBLNHt7H1MRb+Wdd1Ll119TsVpNFWFhVBsVRQ2xsdSs\nECVEuw3jd203fufO7jQJnEOc20PGcy1ECSOWbTd4rAwugjw9raZK1NTUaIdCqoSyBYf8BjTeVsZb\ny3h7ua6uTlNSUqLxzWzW9bWQP93I7Jg1ZrKEd+Yakf6gKtoiUhQgCkAYgDhg2YpDpDDIsoERay0t\nBiLWUiTkVhvYRyRpoP1IWOUuUpW209zs/X2XJNIP0B+O7roFCxZoXVxctD4+PtqQkBBtYmKiNicn\nR4LggsQGSBDdkoSmo6NDnF8ACQHFVkT4y7IExBgUZMuXLOmUUxWsttAw3h+PNL9P7TjefVdfnZ0t\n3paX0yWQaIIWMNhmOV0CiSdHS5fYl5lpJkqQcdqGF18USRJr77/foBQlDhYWimVX33EHSatXm5Ij\ntv3yixAqWl97TX+yC+99gZ89DayEHlOaxLatms6YW/qUJhEUFKSNjIzEWJYyjde08f4rQShC+xyM\nDYhEGL/4DnyXMk2CrwWGYRiGYRiGYVGCGYAsWrTIYPlg0WXRIn7wyjDMKSlKoJCGIjaLEjZQ4Nw7\nLEqQ56xZFLxwISUuWyZECbz1DlECb9Pj7XYWJQaGLGEpTCilCVmcYI4PIZ50Cye7u1ubIOUBY6EF\nKRDHUcRrfOghqpg50yRLNHanSqxLSzNruyFEidLSw6KEcbvk882ixOCmITXVqigREBCgH+zFPcu3\noOUWHLt27RJpA3ILDrRlKCwslJwzWvV9LugbmZWwmRwjSoUssSy5gbwyVpNf7gYKLGoTCRIQBiAO\nKFtxDEZhQrmNVlMkjPuGBA0kY4RWdFBASTvNzj5Ex3JMZ7qG6ubNm6d1dnbWenl5adVqtWi5kZGR\ngcKqEFwgukCC6BYOROEWxVWAt9HxsyxL4Fwj1QFyRUVFhVT1/fe63u6LFWPGGPynTu0sGTeuX9p0\nrLzrLqqZO7ezprralC4htwrBttmaLtFDlFCkTMjIooRoE/ruu0KiWGP8fvx7/cSJYn9W33ILHSwr\nk06mCCHv09FgkWJg3UdxXSrTJHZXu9icJrFLfbVBrQrUhoaGYiyLNAkkw2A8QmKCRASBCOMB8hDG\nAqdJMAzDMAzDMAyLEswgwNfXV2/5YBERtigY8MNXhmFOJVHioEKUWJGRyiJEX+UIFiZM3JDoSD7G\n/5aGOjpSkrs7FQQGUk1UlGg1IIsSKNjKxVoWJU6+LCELE7I00WkhTzDHjiyeHDRe70KWKC2l9qIi\nasvNFakSq0aNOu5CXsOECVTt7Ey10dFClsBYgyzRahxvW/LyaAdabxQXi3SLA5atN7rPO7feGJzo\njGPXYd48svb7DNoMDpUin5wqYa0FB4rXaOOQk1cgOWRsOyZZYkbyTloYVSVaVbgl1ZNX+iryzVlP\ngYWbSV2yzbwVh5wu0SiZZImBKkxYyhGWggT2AYKESJHobrWBJA33gp00M1NzTJLEdO80PSSJxYsX\naz08PLQqlUobHR2tTU9Pl4qKiiSILRBc5LfPkSQhF1bxB6IB/i2/9Y6CLs71hg0bxFvrSHcoKy2V\nVkyerLd2P6x54AGDu7u7dtmyZdrwH37Q1Ywe3S/CRMMzzxiqo6K0kDzQMgQpF9gmOV0C26lMl8B+\nKNMl9mZkCCliy48/6pRF41bFfihFCYPxet8+c6ZurXF/hCBx662EBArj/ztJ/T3GbBEhsA/HS19k\nCn5WdWJkM4wriD3bt7VpOqOutzlNIkf1bSfSJCIiIrQJCQkiTaK4uNg0njEWIA4hZQVjQE6TwHfz\nOWUYhmEYhmEYFiWYAUxcXJzO2ltY24qK+OErwzCnjCiBYpksSiAaviErnaWIowkS+UfgFBcmbkhy\nIv+5cynS2ZnSvLyoSK2muuhoWpOSItoB4O12FiUGljBhKU0oxQnm+OiEMCHLEsb7LNJUOoxjAG0x\n0CKj+amn+iUiftWIEbTitdeoxteX6mNjRbJES2qqkJPwXe3dsoQyVQKyRKdFogSPw8FHgkplNVUi\nLy+vc6jFxlu24EDbBrzJjKSBsrIyTVZOPmQJwzEV+DMO0dy41bQkuoJcE+rII20lLc9uIf/8VlIX\nb+1qxdGdLmEmTCjSJUzCxEmWJmwRJESKhHEflCkS6tJ2Wpiz95gECSGcLM/Qz507V0gSkBUCAgJE\nYTUlJUW8fQ6hBZIBBBcUVSG8yJKEnMSAgq4sxcjnGm+pQ0hYv369KMoi6r8sN1dqfPTRHhJE/X33\nGXx9fUW7D29vb62Pl5c26bPPdI1oyXG899mbb6ban37SVVdWirfoIW5gX5CMYZkuIbcesEyXOJky\nwNGkCKXUgG1WgvOiBPt1JCyXl6URmSMJFCxNnBjRDOMM401cpxUOnbZKEu2qGwyBgYfTJDCejf99\nQQsdSdlCB/dkeTzL1z233WAYhmEYhmEYFiWYAU5hYWGntQeLjWlp/OCVYZhTQpTQKUQJvG2MYlpj\ndgbLEb1JEiYhYkkvsDBxU/JiClq4kOKWLqXM5cupNCREFG5RtEUrgI7iYtpfUcGixAAVJo6EspjO\n2H7M5PssZAllmyMkPqx6443+ESVkRo6khk8/pYbwcLM2HLIsge+WRSU5VUI5BlmWGHy0Gs+ttd9n\nXF1dDUP1rWi8sSzeit6+XbRAQBsHJA2grUN6Vq60IO3YZAnRiiNlBzlGV9PS+BpyT2kk78w1Xa04\nFOkSSF5QtuOQEyZ6tOSwECZOlDjR4zsUcsSRBAnsA+QPSCBeBe30R7bm2CUJ30y9vb291tHRUaQ5\n+Pv7a8PDw7XJyclSbm4uIvo1ckQ/iqoo1srtNuTCurKQjmnyuVaKMRATIFvgTfbymBgtWmOYtSS6\n+27Cm+9o94E0CxR4QYinp7bo1Vf1q2666bjvs41PPmmoio4W6RJNTU3i+jtSuoRy/yxlgL9ajrAm\nRljKELLsgOMvo/yDQritKP/I67KUKY4mT7A4cfz3Tfzpbl2k2b55tUYXcaXNaRKZqp/M0iTQQudI\naRL4w203GIZhGIZhGIZFCWaQsHLlSsnag8X8yEh+8MowzCklShzqjoXH2/5NOZksSFhKEkpBIk9B\n7uLDyNMspYlTTJQYkbKEIpYsoRRPT8oPCKCKsDBqSkgQBdtt+fm0q6REiBIoGuPaU77NzmNz8MkT\njG2iBJIbrIkSq7/6qn9FiW6a772XGqZOpWbj2EOLD6S5YPx1dLfgkGUlOVXCUpbgcTC4cHVysipL\ntLa2SkOp6CcXc/EHb+3v2rXrENo3oI0D3u5H0kBxcbEmNSNbmp9+7LLE9PSDNDehhZxjq0UrDs+0\nZlO6hKpoCwWVbj8sTNTu6xImFC05ZGGihzTRizhxNJHiqJ9RrF8pR1i22DATJNBmw7gP/sXbySFn\nH00/xmMlJAm/bJMk4ebmJiSJsLAwbVJSkjYnJ0dC2of85jnEFkgPEF3kiH65qCoXVuXivbLAqxRj\nIFtAUEChtsrDQ9s8YoTp3rdy5EiKioqSIiMjRWFXBtIGSJo/v7NuzJjjbsfRfOutVDN9emd1VZV4\nq15Ol8D2WaZLyIkZylYcJzJdojc5wpoYoZQilCIEBBaA7QcQPyCsyGDfjoRyWXwWYD04l1ivUqRQ\nChRKeeJo0gQ/zzq6JIHjKLfckIWjg2kv6WyVJLapbjlqmoQ8prF+TpNgGIZhGIZhGBYl+EAMMvAA\nw9pDxWg/P37oyjDMKVEIVYoSKJyhiLY+L4feygmgNzJ9aXK6D72c4kkvJLjRP2P/pAlRS+jJCCd6\nInQhjQtxoEeD5tMjRsaq5g4tAu3NGBMwpwt/YEcT3KbSQ76zzRjjZ9eFv13XcsblLdczlI7Rw0Zw\n7nEN4FrANfGU8dp4J8SZ4t3cKGv5cioJDqba6GjxZntrZqYoDqNIjGIxisadXJxlTiEpDVKC3H4D\n6Q6QF9bMmnVCRAlTMW/cOFrt7CxkCSS6bO+WlbAN8ji0lirB525wAcnb2u80iYmJuqFY+FPGyKN9\nAwrTeKsZbzejeF5UVCSlZuZIDmlbjlmWADPT95FD/CpaGl8r0iW8MlaTb856CijYJISJ4LIdomWF\nnDAht+SwljKhbM/RQ56wVaKw8hnlOk1ihDI9wrgt/8/ee0DHld1nnjue3fGuZz0zPt4967OzZ3bd\nQTm0gqW2xhpbR0e21CO5lWxPy3JLlpUlK7GZU7MJkETOOYdCzgUUUIWcc86JAAkw5yYJVr0K/33f\nJW71Q6EAFgJBovDnOd8hCVS9Cu+++6re97vfB5BjRYJEzy3Sddyg0Ka7dLzOQlt5j06k1K2AJFJT\nUwUkoY49pb6+3tLZ2WlG8sL09LSoqADsAMAFprlcea41VbWmuHZfL4MxZoAx2A4MWglLDB49anPO\neS++SEixUB/fgtXvrtLr9ZbSoiKl+ec/t028731bnmNHX3vN3mcwWNZKl8BzxjiFUa1Nl9ACANtl\nJj8JjtAmRkgwQkIRWhhCwg7YTzi+kJCB6yYww/GaIOyH9SRvh/tA2AaE7WG7EqaQAIWEJ7TpE65J\nI+7eMzbiPavcwHuM9/9uf6TiKSQBGTMOe5wmoT2mOU2CtRuFcbsMFgH8EfMV5rErV65YAJ7Ozc1Z\n1DneggV3o6Oj6sfnQaWvr0/p6upS1OPC2tzcbG1oaLCqx4m1qqrKis9gqHsuLS21qcePzWAw2IxG\no/i9en60NjY2WltaWqy4L7bR29ur9Pf3I61IwfbVc4plamrKop7vLPPz8+I5qOcWC445zKt4fnie\nDx48MKvHuRnHO14D70sWi8VisVgMSrA2JHx58/HxWXVRMTEigi+6slisPQNKuF3pXFtL05WVojKh\nOy+PmtLTyZSYSGVRUZQfEkJZ/v6UdvYsJatzaMKpUxT39tsUe/IkxZw4QdHHjwvh3+L/bhTzHGvF\nc1VfRxR07BhFqoo4epSiDh6k3ldeoagDByjs8GGnwo8cEcJtxO3U20ctvxdCu+21uzzfaM1rwb7G\nPk9Qz5kYA+nqWMgODKTC0FAqj46mmqQkasnMpL6CAhrT60XtBkxhmMNYzQ6zWK5kZ3OWtdfSewAp\nIL0H4MJMZORTBSWcev11mtfpVlRwcKqE9+hud7dbUMLf398Bs8xbYQm5Shom7pUrV8zz8/OilqG/\nv1/AEtU1tZawqln7VkAAUcdhvE1B5RMUXTFMccZxUcehBSacCRO9dyi//55ImXALTSyDE1p4whWg\n8ETa+7qCEavgCPW54DnJio3MjmsU2XSL3q4zb+k9OVa9RCeiC+xnz55VgoOD3UISqEJBygfSFgA3\nwEDXQhJy5bm7hIW1wBiYvTCJtLAEHmP0u9+1y/muobraUldXZ6mtrV0lGL0mk8kCmMKkPt/+116z\nbxlI+9CHqP/cOSvG3VrpEhinnqRLbEd6xJPgCFcwQgtESBgCzxvHFIAPvA4I7znSW+YvLJin5hbM\nE+cXLdPnL5jPq691blk4BmGeQ7gthPvh/qhOwTaxbQlT4L1xhSdcwQlXaMI1aYKBCc+qim5d6LPY\nc/7QY0jicuaHHKiv8TRNQtbocJoE61kJ4w/zCYACwAyAGAAvAE4oKiqyqePZHhcXZ4+MjHSEhoY6\nAgMDHX5+fnTmzBm3n6F2s3CdG68NrzM2Ntahnp/tOTk5dvVYtqnnPxuADvUcLcAMABmAQDA3q3OF\nGfMGH7ssFovFYrEYlNhjQn+v64dKv7Nn+aIri8XaE6AETDGrZqWzrN+40tgoViBPVlTQUHExdeXm\nihqF2uRkMsTGUllkJBWGhVFecDDlBAYKcEK3rEz1S3nGuXNO4f+7SdrnDgAAQEjamTOU4usroICa\nb3xDXBiv+M53BCQCJQKyO32aklThNrhtqnof3Bfb0G5zt70nrs9Z7mfs85ygIAHOFIWHixQJ1G0g\nSQKQRG9+vgBtANxcrK11xv5Lc5ZXsbP2anqPdp6dzcl5enDECy+ICo7JL36Rpt54g2b37aNFg8GZ\nKoHnsaRJd+HjcXcrPSbG7cXysbExxdtNQAlLwNSFWbsClqiutsQZhmzHareWnCCACdNdCjDMUlTF\nCMWZJpzABCo5Mtouk67jmoARZMqEFpqQ9RyiAsMVntAAFOtKc3stFCFrNbTJEU44oueWSL5Ib79O\noY13tg5IQFXqdoKTbIAkQkJClJiYGGfdBiAJQApaSAJmOQwYGFgyXWEtSGK9fY37ucISqOHA/h7p\n7bVMfPGLolKjq7YWjy9WvkvJ/2NMtLS0WBobGwU4YTQaLU2nT1vHXnlly3UcI9/+tr23psaZLgEj\nGa99vXSJzVZxeJIeIeEIbWqETIyQYIQWipi9cNncM3XFUjNyXcnvvWlL6rhnD22+7whofOjwrX/k\neKfeTCfcHEeobXm73kKn1ducbXjoCGx64IhsuWdPbb9hK+q5Yq0dXFB6RucsU9Mz4j3BPgNQgfdG\nAhQSnpDpEwAntIkT60ETDEx4ULlx/ZrZUv6qfSNpEpWZJ1ekSeB44TQJ1k4K4wnGvTpHiGQFmPqt\nra1Wk8lkheGv0+nsCQkJdsAA3gg7PEudPn2aAgICHOHh4Y74+Hh7enq6PTc3VyRkADxBGkZnZ6dI\n1VDnA4s6H1gwhyPhAvuNxy+LxWKxWAxKsHaZQNW6+2B4v7eXL7qyWKw9AUq41m9gpTFWHMPEu1BT\nI4xupAKgQqEnL0/UKbTqdNSckUGNaWlCDampVO+hGp5j1aekCNVByclUm5RE1YmJQsb4eKo5d44m\nX35ZXBAf/sxnRMKGFJIUKmJiqDI2VgADpoQEcT9sA9uqW9429Fy/BxvYj9j3SBsBGNGmjonOnBwB\nSACuGS8vp1mjkRbq6sQqdhjD68X983HJ2gugBMa+rDnCcTGnHiNTW4h/H1fno75PfII6/uqvqOn1\n16n++9+nun37qEGdq5rVeQfH5ODy8Yhkl0X1eJTQEtdveJcGDQa3F7thJuyFFdPrwRJIEUgzdFhP\nVD/cOiQgKjke0jnDRYo0jImECVRyJNefp9Smi5TResmZMgFAQSZNyHoOIQ084QQopCT44CrNbeT9\nZGKEE4xQHwOQhoQjAG4kt16nwIZ7W67YcKp00fGOX6jNz89PCQ0NVeLi4gQkkZ+frxgMhlVJEhKS\ngPntCSTxpH0tjV8JS8Box/5GtcdEU5Nl8pVXHIPqc4CZ604YE729vZauri5h+jY3Nz9OmigttXR9\n73v2yRde2BIsMfGxjzn6wsNFusTo6Kh4DwAF4HnCRMLzxvPHmN1MusRagIQrHKFNjtCmRgBEEPUl\nl6+Yu6euWkoGbllj29+1n24wO7ZlfKyj47UW8m984EhuvWEr77lo7R2ZtsBwR10J4AkY74BfJDgB\niENCE4A7MH7k+6atMXFNmdiLtRxrpbDIyo37HUesG4EkLmT+mR1pEoCfStVjA0ARjpWenh5UDgjg\nBfuJ0yRYW6m5wPhB8oN6nrbq9Xpbdna2PTEx0Q5z/pz6OZaBhd2daIHEDqRZIMkD9SPquVbAFagV\nUT8bWHBOYqiCxWKxWCwGJVjPiaqrq63uPtjNNzTwRVcWi7VnIuFdUyWw2vhGS4uIhkcaAAxvpEuM\nlpUJE7y/sFAY4gAnUM2BxAlvEEzFjmW1Z2VRmypAAIABGtLSaPBv/mbFBfH6EyeoMi5OgBFGCUYk\nJwuIQAIEgEqwLQAm2C4ew1veL+x7jAFUbAwUFYmxAahmymAQpiwgCQA3rlH/MGW5doO11+ZaWXOE\n4wBzLIAFwGhTr766KUNu6EMfoshDh0Q1DlJtkPyClB+AW5iPADJh3sGxqQWXGJTwTmEfnvH1XfWd\nJigoyOEthpWrSSzNYW28PIwXGHjuYIm8inrF13h9Gw1hC71juk0BlRcoumqS4k2TlFQ3S8kNcwKa\nkNUcuvarj+s5um8KiEEkTizDEwAcRPKEhCg0MIWEILSSQISQug0tGIHHwGMltVyjkIY7dLpuaXuN\nbl23w+dcgDUgIEAJDw9X4uPjlfT0dLHi3FNIQoIBG4ECtPtaAgASloDpj/0Nkx1m+3RhoTLZ3IzY\ndbNWMOTxN5IexsbGzMPDwwKcgPELYAKVAhgj9XFxytDnP7/1dInvfc/eq24T6RJ4XDw3vB9IbsAY\nxVj1pIrDNWXjSYAEtodjAe+3TI7A411V36e+meuW4v7b1qi2+/a3twuc2aKQQJHQcsNW1nXB2j8y\nuQKckIkTeM+00IS2nkOmTDwJmNgraRISksAfjAOkPdyeqbY4sv4XjyGJpcz/SHkZ0Up2drZSVFRk\nqaiosCynxFhwbLumSeBxOE2CtdbYxBhRj2nAaQoqH5ACERER4UBiAQMFLFkTFx0d7UBqBSpSkBgC\neEY9fyqoBME5DPM8H1MsFovFYjEowXqKQm+duw9rvXo9X3RlsVh7LlUChhmMMxhoEpaA0Y1VyKji\ngNGGhAlAEzDeYIoDnoBQs7CbNVxSIjQEFRcLcxEAAEAAkZRw8uSqC+H9X/uagCNqkBqxnBSBpA2Z\nruAKEQwtPwa0298vud8xBibUsYAxgbEBQALm76X6erFiXkISMuYfQA7H/LP2MiiBORbHBCowAKJN\nffWrmzbj9F//OkUfPy5ACdT8SFDCtAxKcKLE3pIuLs7tRejLly9bvNEUXA+W0CZLwBBvb283Izmg\nwlCpRJQP247XbrdR/Bia8DdeonDjeZEygWoOAU00Xnhcz9F6SVR0CHii45oAG5zJE4AolkEKt1r+\nvROIUO8PKALbSmu9QrHNNyi44Ta9U/tw+w3tqjt0MkInqjaCgoKUyMhIJTExUdHpdDBSlaqqKktD\nQ4Ols7NTAAiukIRccb4WJOEJKKFdKS9hCcAAMOFgosNMh6mOx0WCA/Y9hH9rhZ8JoAIJFOrYwOp4\njI/u7m5Ry4FKjhqj0dK6b59t4v3v3xIsMf6pTzl6k5IUbB9wBh4TBjPADmn8r1fFoZUngIQ2PUJC\nJIPnr1vy++7azjY+/cSI7UiciGi6ZS/tnLf2D40J2AVjSUIT2qQJACDalAl3wMReqORYL2UH78/N\nawtma/FLjo2kSdRm7LPi2EZKTFlZmcVkMom6GiSxYBxjf8g0Cbz/GHucJrG3pc49mF8tuLaKhWio\naIiJieE6DNa2Sv0MQoBsUlJS7Or8ZAN409zcjAQnBTAOzg/q+dTM8w+LxWKxWAxKsDYhdKm5+xBm\nzM7mC64sFmtPgRJWTQWHhCVg5qEyAYYegAmY31iRDCMc4MScySQEA263a7aqimZUweyfNhiE8T8G\nAKSkhAZyc2niU59adRF88qWXqDEqypkg0ZqZKVZwA5AYKCwU98U2BESgbhPbxmPgsbzhPZP7H2MB\nhi/GhgQkANlg7GghCVdDlk1Z1l4DJQAKYX6919kpjhEcM1Pf//6mjbjR972PEg4cWJEooY+OFgAX\noC2kvgDSwhyE4xTHJx73jgu8xKCEd6iztNTtxeWmpiarN5uD2rQBLSwB8xzmOFZAYyU00g5g6FdW\nVloySuut75huO56e6Wum09V3yN90lUKrFyi6Zp7ia2dFRYeEJ5A6AYACyRMColgGKVZp+Xe4XUrz\nZYprukoRDdcpoO42na57SMfrnqKBnTfieOdcsFVWbcTExCgpKSlitXlJSYkCExWR/F1dXeaRkRGR\nBiAhCZjZm4UkPIUlAAcIQ/jmTWGg43EBybgKYwHCv2HyouIBYwMVAhgfeO5IH0ElB0xhrKCvTUtT\nhv7yL7eWLvHCCzT4q1/Z+nt6LIBI8FgwmvH4eK543mtVcWgNf/nanwRIYNxPL1y3FPXftvo1Pnru\n4Yg1623qLBTVdMuu75xVhoZHBNQC0ASgC947bcrEXgUmnlRPg7H1sOH7to1AEhPpXxCVG7m5uUpx\ncbGYK5EU09nZKdJRsA9wfAPC4TSJvSX8UedOjAOkB1kLCwttCQkJdvXcsKvMdiRZnD3nT34BQRQY\nHEbBoZEUGhFLEdEJFBWXTDEJ6RSXrKPEtFxKziig1KwSysjVk67AQNlFRsotraV8fQMVGVqoxNhO\nZdXdVF7XR5WNg2RsGaXqtgmq65yhhp45aupboJbBy9Q6dIWaBxapse8iNXTPid/XtE+RqXWcjM0j\n4r4V9f2kr+1Vt9cltovtF5Q3UV5ZPeWW1KiPbVKfQyVl5pVTek6Z+ryKKTmzUH2eeZSQmk1xSZni\nuUfHpVBkTCKFR8WL1+bnHyhqMPZa7Yf6ecWBGhdUbVdUVNiQUIHKD4xhwBR8TLNYLBaLxaAEy0X4\nkOTuw1VWfDxfcGWxWHsSloBpBkNb1nDA0LuzDEzAYAM0gRXJMMMBT0Co6NjNgnkIYbU1DP8LyxAI\nwAakJYz/8pdrXgTv+eEP30uSyMqi7txcUU2C1IWJigoBRmBbgEtgii4uwwS7/T2D5P7HWMCYwNhA\nggRWqwOQAGyDmgEtJMFpEqy9DkosLYMSOFYwH0zv37+lVcu1X/6yACUy/fyoIDSUyqOjRQUQan9Q\nkYTkF8xlmNtkFQ4eX1bhcMqL9+imul/dfa9JTk62e/tKatdkCWkUwlDFKn6sTIfRB0MfNQsw+ItK\ny5XQ8jH79qdLrAVPKHSydolOV9+lMzW36Vz1TfKvuUGBtTcouO46hdZeVXWNgmqvU1DdTQqou0V+\ndXfobO1deqfmPp2oM++cWV11h96OLbafOXNGCQwMXFG1kZeXp+j1egVVFcsrzUUyAyAJmNgwUQFJ\nPKluw1NDdS1Ywl3VBIxz7HcAAxD+Dcmfy9/hOcoUCgATeO6o5cAYwcp51AyIOg6j0dLxy1/apl56\naUvz9Ohrr9l71TEHYAePI4ESgBt4PjCdtXUSeH14z7TQhBzfroCErNcYPH/DktJ9336ibnfCEWvJ\nt+6BI6ftgrW7f8gCoAWwCQAXmTKBfYn9ClBEC0zI93AtYMLb5j+8XowLvAeipmQ4TdkIJHFP9ycO\nXXqigKAKCwuV8vJyUUeDpBVARBi3AFUwZvF+c5qEV0MRoi6jsbHRmpWVZUeF1/NsjJ/zC6CQsCiK\njk+lpPR8ysyrEDADoAPACw0989Q+cp36Zh/SyKKDRi/RntPgBYV6pu6p78M1AWzUtE8KQAPvUUF5\no4BAAGAAEIlJSBOgRWBwOJ095+eVMMW5c+cIqScY3waDgUEKFovFYrEYlGBBAQEBqz74RwQF8QVX\nFou1Z0AJd8kSMLZlugQMNZjeMNdggAOcgBkOAaDYzYJpCAkIRBVM/8vLdSMClsjKosl14pfHPvEJ\nakhOFqBEu3rbnvx8sYIbgAUgCQAS2BYMSsAEeBz5mLv9vYPkOMCYwNjAGNECEtKIZUiCtddBCVlx\ntLSc2IM5ANDUrL//lgy4yRdfpKz9+0mnbqcwLIwMsbFUn5oq5iNAW9rajese1m7wsbl7Fa5+h3G3\ngnJpacm8V2EJrNyHqQpzGoZ+T0+PubW1VZiAFRUVSmZRpfVcxbzdm8zlTat6iY6nNNh9zgVY/f39\nnSkSycnJzqoNucocdSYwUGUcP6ADWYuwXZCEJ/tapktgn0t4QCs8F63wMwlVaGs7YAJjxTxej6zj\nwDhBukRjQoIy8uqrW0qXGH/lFVHFgfcM4xDwDiANafbLmhK8DglMSDBC+zrla8D7fP36DXPr5E0l\nsu2B14/ft2uXKKVpwdbaMyTSOZAyAWBC1plIYEImTLhCJxg3Wx2HzzskgfGPcXRrqtLiyPn3HkMS\ndt2/pfL0t52VG6WlpRaj0SjSYnAcyLQYeYzjPcY4dXd88/XF3SXsN9RzqfsZKUG2qKioZw5FwJxH\nGgISHmDcZ+SWU15ZHZWaOqmqaZjqu89T2/BV6p25TyML9j0JPuykAJcMzD2irok7Ih0DaRlIw0AK\nBtIvkHqBtAukXMSnZKv7LYVCI2JEmsVuBymys7OdIIX62UDBseKNn6dZLBaLxWJQgiWEVVbuLija\nhof5giuLxdrTsIRMl4DZDXNPQhMQ0ia8QTAMJQQikzMATABswArs6W9964kXv1uPHKHG9HSRKIEV\n3MMlJTRpMAjQAubkNVRRyKQF9XEkTOAt76EcEw+Xx4gEJFxTJNiMZTEo8bjeCMcN5hoks5xPTd0S\nKAG1f+ELlBUQQEVhYVQZFydSbjpzcmhQU7uBxwKoBaCJ0yS8Vwadzu1F3+HhYcUbv8dpTUPIFZaA\nYQpDGSYqTD4Y+jDCYVbD6EcVR1VVlQU1EomFtdbTldccexWSOJ4z4DgdEG47d+6cEhwcrERGRioJ\nCQnOFImysjJRtYGkhc7OTlFngtX9AAxgVMNAlav6YVJrDeqtmtPa+7rCEjJdAn9gFuOxtcLPtHKF\nKiQwgZXyAGowRvC6YMb39fU50yVqDQZL1w9+YEOdxlbAtv4DB2y9LlUceFwAGzIZQQITEpqQY3kZ\nkBAVGy1TtxT/pkd7brwiASam4Yq9pWtAJHQAmICJrwUmZO2LTOlwV8fxvMAS2uex3nNa6xjQQhJI\nJrk112Gx5/+xYyNpEn0Z37ShciMnJ0dUbhjUsQ4YCmNfHud4fwGd4XjBY0kIhdMkdpfU4wKgFuZy\na0pKiv3s2bPPpBohJDyaElJzKKe4msrreqmhd14kHgwv2BhO8CbIYsEu9mvLwCWRYoF6EaR9AH5B\nZQgqT/wDQ8T1dwYpWCwWi8ViUIL1jFVaWmpz9+Hnens7X3BlsVh7EpbQAhNaaEKCExKe2O1aWjb1\nHy4b/YAXAEtgpffVxka6EBnp0YXvgS99ieqSk6klI4O6cnNpsKhImJMAJbBiXK7iBiABg/ShJm3B\nGyTHBCTHiQQktCYsQxKsvTy/uoISmBOQYDNXXr5mt/1GDLmyffuoODycquLjqTEtTcxFgLZk7QYe\nC3AG5qGHLnU4rscn77fdq6maGrcXdbFS1Fu/y60HS8gV+DCfYYbDSIWxD+NPVnFg1TTSJVAnUVBQ\nqEQVtdreMd5y7A3TWVXBuOOd0GQBSAQFBYmajbi4OCU1NVXE8C+nSCi1tbUihh9VG1hhjvQFafDD\nuMcqcxio2jj+7TSl3RnFrsCEhCZcJX+n/b1MaMBzxnMHpACTHWMESQ8yXQJGsTZdoikszDr6iU9s\nKV1i5PXX7d3q+4lt4zGk0Q9YA+P01q1bYszieeFvCD/D+zw8f8MS2Xp/zyegnKwzU1rjvK2zu88J\nTMhKDoxJmW4ioRPXdAnXKo6dNPnXgiM80bqQxOKY2Vr4XzYESVzPfMmRmZHmtnIDoJBMjMFxgfGH\n91PCJ67HOF9bfL6E8aGe71CRZM3NzbUFBwfvaFpEYHAYxSZmkC7fINIgajunqWv89p6tv2Ctn1rR\nN/NAJFZgnFTU91FhRZMYO4lpeRQZmyTGk4+P764AKfz8/Cg2NlaAFOrnJ1t7ezuDFCwWi8ViUIL1\n/AtfHNx9uBk3mfiCK4vF2tOwhAQmtNCEBCe8QVrwY2nZvETiw02s9K6ro+nPfc6zFYIvvED1QUHU\nkJb2Xty9Xv8YlGhoEAkVADAEJAFAwgUo8AZZXcaIbR1Ago1Y1l6cX+U8ivkGYBbmBNTxAGKY+vjH\nV80rHV/+MjV/9aseG2/df/mXzkQJd6DENU3tBkAtTpPwTmE+9vXxWfW9Bh3j3mxkucISMO+keS6N\nRJjOMPpgomqrONylS+Tm5Skx+XXW0xUXHV5bsaHrtp8Ojl0FSKSkpIiajYKCAgXwSHV1tTNFApUU\nMKRhnC4sLKyqjNCuMn8aK/ddDWNXYEJCE1rJn2vlmkShAWrMcozg9a2VLlGn11v63njDvqUqjk99\nytGdkaGo2xXgiaziwOPi8dX39pFG5pmLV83pXXdsx2rNdKzG8lg7PG6OquPmaNU9Olp5m45W3FT/\nvkvHjA/U31me2Vj2qXvgyG8at6JSB/CTdnwiAUHWcTwP6RJrgQ/utNbt1oIkblyeMStlH9kQJKHo\n/lcqTg+0ZmVlicqNsrIyC1JjXCs35LEuKzfwx11aDF9bfLbnQMBB6nyCedsGk3YnVumjXgEVGWnZ\npVRkaCFT6xi1jVyjoYtWBgBYT0X955eoXR1j9V2zZGgcpKLKVsoqrKLkjAKKjk+loNAI8j1z9rkH\nKRISEuxFRUU29bOnFalvgChwfuL5jMVisVgMSrCemcbHxy3uPry0FBXxBVcWi7WngQlXaMIVntjN\nssLch8m/DCzAOHwAUKKjQ8TTzx88uKEL3p1vvEE1iYkiVaI3L49GSktppqpKVG8gUeJOe7sAJaRB\nicfF43vDe+kKRWjFgASL9V79hgQlAExhrsHcsKDOEVNf/OKK+WTi5ZdJ7+tL+adP0/j73+/xPFR5\n9CgZYmOd1RtDxcWrQAntPMSghHcqQx0D7r7b4CKstxtFa626xh8YfMvVBc4qDm26BIxWpAYgOaGy\nslIAE6icSMjRW8+VTtqP1Tza/QkSVXfoZEqd3Tcg1Orv76+EhIQ4AYnk5GQF8fvLhqliNBotgEcA\nkcgUCWnmu1Zt4L3dKQN6PaNZQhOeSEITEpiA6SzHCOAPmS6BpAeYxe7SJZrPnrWOf/Sjm69Oeukl\n6jt+fIXJj8fCuMTjLiwsPALUU95/zXqy+gEdrX5ER2ueFihhEfDD4aI5Opw9RIdS2+hgfDUdjCql\ngxGFdDAslw6G5tAh9W/ocHjeCh2KLKTD0WV0OK6SDqc00RFdHx0pmKKjZZfpqPHdpz62A+tu2Wta\n+yxrjVV36RLasfo0Df/NjFlXcEKbniLHqzNJ4tKEWSn98IYgCag1419E5UZubq6izndi3kPlRmdn\n54rKDYA7snJDmxjDkMSzFcY1Iv8zMjLsMF6flql72seHwiLjhBGdV1ZPlY2D1DywSP3nH7Fxz3pu\nNTBvpo6xm9TQM0+GhgFR+ZGWVSJgioCg0Oe27gPJL6mpqXYAT+pnDav6ucACgBPnAJ73WCwWi8Wg\nBOupCh863H1AKU1L44utLBaLgQkvlbZeBIahjMPHKu+rZWU0/cEPbuhi99iHPkTGmJgVBuWUweA0\nKLFdrCLH4yjLgMRaMIE3io8pFoMSw875BqACKjBQ84N6nul/+IeV6RDf/S7po6OpIDSU6r/zHY/n\noZ4vfYkq1HmoLiWFOrKzaXB5HrpQUyOqN9yBEgxJeJ/aS0rcXnxtbGy07oVVte5gCXdVHNp0CUT2\nwwhHYgKSE2QdByonJDCRlpWvhOY12XzK5x3Hn+EK+g3DEab7dDy7z3EqKsd2zj9ACQwMVEJDQ5Wo\nqCglPj7emSABQAKvFakaMEsRve/JKn0Ypzu9Sn8jK/NdTfC1zGcJ1GjrONZKl+jt7XWmS9QXFSn9\nf/u3W0qXGP6Hf7B3q9vC+MP28X6j+mNwfNYcVn/Vfshwjw4bH9AR05KAJbYFlFC3c6R0kQ5l9dOh\nhBo6EJZHB0OynTDE4Yh8OhJZQEejCulYVBEdiy4WOh5TQidiSx8rrmyl5M9V4XbiPup9sY0jcQY6\nmtFJRwqm6WjlnadTx1FrpqyGCatMP8ExjWPb3bh9UhXH05qT3KWgrCV39TKrIImFIbO15OUNQxJz\nmX9uBySRk5ODeh1LRUWFgMTa29stSNkZHx8XwI67yg1Ok3g2wvuuzkHYV7awsLCnVqMBEzkpI5+K\nq9qose8ip0OwvFLDC3bqmrhN9d3nRdVHXlkdpeqKKSouhfwDQ547gAJgR3h4uEOdt0WdR1dXlzIz\nM2PBeYDnYBaLxWIxKMHaFuFLno+biNqkyEi+2MpisVibhCd2w+twNS4RSX+rrY3m3nhjUxe6G/71\nX6k6MZFadTrqKyig8fJymq+upiuNjU6D0hWU2A3mJAMRLNb2gBI2N/MN5odZde5wpkl89KPUmJBA\nVfHxVBYVRUWBgTTi6YrlF14gk/oZtiYpacU8hBogPA4ez7V6g0EJ79ONjg63F1mTk5PteyWCfC1Y\nQprhMBm16RIwA7H6HKvQZR2HCzAhEiYAEwAqSEzPVkJym2yn9c8pNGG8TydzBxzvxOTazvoFWAMC\nAkR6REREhBITE6MkJiYqaWlpCiL3UbGBBAkAEkhJQFpCV1eXSE+AWQqjGTAJgAHXFImdXpnvCTCx\nEa23Wt9dugTGCAAGCdWo75OlpaVFGMxthw7ZJl96adOwxNhnP+voyslRuru7Mf4spS2jypGyS479\nZTfooOEuHa66T0eMD7eWKqGOi0O543QwzkT7AUUsgxFIhHBCEdHFTgji7YRyVRV0KtFA7yRV0unk\nKjqdYiSfVJOQb1r1Ksnf4Xa4Pe6H+2NbJ+P1YrsCooiroKO6Xjqqv0rHt3n8h9Rctde3dgvQZ70k\nFNcqju0ev08aa2JOenDNrNyZNOM40kpbH7NWTcytCz0Wa+F/2TAkcSXzAw5dRoqSnZ2tFBYWoqrB\ngoodjGVAQJgDJWCC94srN56dcI5Sz0U479jPnDmz7ebrmTNnxQr7nJIaMrWOU+/0u2yis1gAKS7a\nqHPsJtV1zVJ5bS/lltZSSmYhRcYkkV9A0HMFUWBuUD/bOXJzc23qZ1ar+hlCuXDhgkWdt808j7JY\nLBaLQQnWhhQZGbmKyPY/e5YvtrJYLJaXwh7StAS0AHgBaQ9IfbicmLjpi9z9f/EXztj7rtxcGi4p\ncdZvoM4DK8gfskHJYu1pUMJ1zkH9xvzp0855ZGj/fgE5IBUCsASSJep//GPPUyW+8hUyJiRQU3o6\ndS/XAM0ajavmIVSAyOoNnoe8T2GBgW5Xoy0tLe2Zi6ZrGZTSdJSGo0wOwIpzGINYRQ1jFQZrX1+f\nE5iAGQ6YAFAB4AKsxE5PT1cSU9KV8IwKq19ep/0UwInqpWdQqXGXTuSNOk4lG22+4clW/4BAZ3KE\n+j3XCUekpqaKeg0kZBQVFSkVFRWKyWRyJkgAkJAr8QEEIHYf5jJAAQADcjW+q8G8EykSW4EmNmpi\nu6ZLwJR2TSBB6oNMl8Aq/MbGRktjQoIy9qlPOTb7OXLw7//eXtfYbAkqGbD9Kuc8/bZwkd4quUYH\nym/Tocp330uV2AgoYXpIh/On6EB8Le0PzhJwhEyM0IIRgBgARQggIsUooIcz6bV0NqOOzukayC+r\nkfyzm1Q1U0BOCwXmtroVfgfhdrg97ncus15sxzetRmwXAIWEJwQ4kVBFx7IH6Vj59W07Jt6pfeAo\nbBhWOjo6xJiWqSio3MF41lZxrDeWnxawJcCHh3cf2av+wm6+0mUBnCPl+gc/k2NRwju3ZmottoI/\n2TAkcUf3/ziy02MFJLVcs2NBzQ7SUVArgzGN+Q/jHHOiu8oNvBaGJJ7eIi51fsE+sUZFRW17akRI\neDSlZZeSvraXWoeu0Miig01xFmsTQtJKx+gNqu2cprKabsoprhb1NBHRCeTnH/jcQBT+/v6OhIQE\nu/qZz9bQ0GBV53gFVXw4B/Gcy2KxWCwGJVirlJ2dbXf3oeJBXx9fbGWxWCwvNSxhEsIsfChj8Jub\naebzn6etxCcb1XOHTJXoLyykyYoKEXu/Xv0GG5Qs1h6ed1pbaSEuTswfk5/7HA0XFQnAAXNIfWoq\nmRISqCIqikY/9jGP5qBJpEqcObOqfuNJNUA8D3mXyjMz3V4wxQXSvfQdz5N0CZkcoK3jkFULMmFi\nOT0AffCWhoYGsfraYDAoMmUCK7MBIKDGIiEpWYlIK7b6ZzfZzuT32U8VTztOGq47jtU82pakiBP6\nRcfJ/FH7qcwW++lEve1sWIJIjAgODhZgRHh4uKjViIuLcyZHyIh9mR6BhAwkZcDcb29vN2PlPRIk\nJCCB1fcwlGVdwUZSJHabefqkuhZ36RJ4b2S6hCaBxAKgpr601DKwiSqO0U9/2lGcU6i8ldLp+Fnq\nCP1SN02/ybtA+4qv0AH9LVpRv+EBKHHEcJsOprXTWyHZdCAky5kc4YQjRGLEYzDicTpEjQAaHgMR\nzQJ6CMpvp5DCTlVdFFrUTWHFPRRe2icUUdYvFKkfEJL/h8RtSnrF7XE/3D+4oIOC8tqWIYomAV88\nhieqBZjhBCeS6+ho0Xn1tZm3DhCpSqmbsuG47e3tFftqZmbGCQFgbEtYwt243ux4ftKYEhDOg/uP\nrHV/awO8cP/6tBnHFwQoAcJzkpKAhAR27g7GKo6cP6CNQhIPMv/IUZgeJlJxAEuVqmMV8BfmAYxf\nzAGol8HYxjyI90ebvLGdIAnrPan7FsAV5mjbuXPnts0ghVkbn5JNBeVNVN81SwNzZja4Wawd0uC8\nhdpHrlFN+xSVVXdRdpGJEtPyKDwq/rkBKdTPjY7U1FS7Xq+3tba2WicmJiw4x2Ce57mZxWKxWAxK\n7FGZTCaruw8O8w0NfLGVxWKxvDRNQkbgoxID1RgXjx/fEiQBtX/961QZF0eNaWnC7BwtK6PzRiNd\nVs8nMETXir3n/cNi7Y25x7XuB3PPldJSMX/MhISIqgzADT3q/NGm04lkiNrkZGr7yU88noe6v/pV\nAWy1ZGZSb34+jen1Hs1DPBd5jyaqq91eFC0pKbHtte95nlYtaOs4EDcvgQmZMAGTFUYioALABTJl\nAokMEpoAiJCbmyuMSKRNAJwArABoITomVolISLcGJRdZA1LLbX5pVbaz6TU234xGu4+uxe6T02X3\nye6wn85stvuk1dl8U6psvkl629nEIptfjM4aGBZjBQyBCg0JRCAtAlBEbGysEh8fryQlJYnUiIyM\nDLFiXCZHLMMRCgAPpEcgYh9JGTCPh4aGxGp7GMhaQAIXy10BiectRWKnEkhcKw/cpUvgfVTHhkjm\nqFPHRcdvf2ubevFFzwC3l1+mnIBw60+i6h0/jO2kn6YM0S8yJ+nXeRfod0WXaUX9BkAJbf2GKyBR\ndpkOJtavSI9ArcaxqCKRHAE4AokOABQAKgCMALwAiAFQBMAGQA6PAYhBiq4YpmjDCMVWjVGccZzi\nTBNC8abJNSVuo94W94mpHBX3jyofcgIVACgkPAEgQ4ATmfUiwUJCEyeTTXS8YEJ9rQ+3DExEVl+w\nNzW3iMQUmZiAtBTsQwEeLCelbBcs4Q6SkCkSEryxtPxIQBKU9Xt06+Z1kdwghTGG5ySFn+F5Xrt6\nxXy/6We2jQISkEX3B1SWfsYqIQl1vhKVQqjbQSIKYB9U7QAQQ4qMfF+06TEMSWyP8B4iFh8R+erc\nvS2pET4+vhQRk0i6gkqqbBqirvHbbFazWM85SNE6dJmqmkeooLyRUnXF4hg+e87vmQMUSKBTP2M6\nUPkDrwRVHupnQwvOYzyHs1gsFotBCS9XX1+f4u4DQntJCV9sZbFYLC+t3MCqbqysvov4+8pKmvrw\nh7cMSoy///1UHhoqjM32rCznau6FujoRsX93eTU3x96zWFz5I+efmy0tdP5b3xKpD6jJmCgvF9U9\nfQUF1JmTI9IlGhITafyjH/VsLnrxRar28xOJFLj/0DrzEKdKeKcs6n718fFZ9d0mKCjIsVcNLner\nvCFtFL4rMCErOWSCAGACmOKo5YCxCONVQhMAEAAiwHzU6/VOcAKmJBInJDyBhIfk5GQBNQCiAOAA\nkEIKNRlSACC0v8NtcR/cFxAGtoVtYttIjEC6BcAIPDZqNbBaHMkRSMEAHIEaAoAeSMgA+IHV4zD6\nYfjLig0JSOA9kJH77gAJb4IkNpMugdX2cmy41LXgfRZVBk3qPhx/5ZUnVnEU/PTX9jeDquh7YQ30\nLzEd9JOkAfpFxgT9Oneefld46TEoUXHnMShhfOgWlDhSfo0OxBrpraDMlYBEdLGo1QB8gOQILRwB\nUEGAEaV9AmIAFAGwAZADgIeEmmlKrJ2h5PrzlNwwRykN85TaeOGxmi6uLfX3uC3ug/sm1c2K7SRU\nTwmIAgCFhCfeAyc6BayBNAtAE0i4ANDxdpKRjuWP0bHqrSWyBNRctdc0PD4GZHIC9psWCtgOWMJ1\n/GjTayRs86jnuFUCDPa8P3JgHAHawN8QjkPAWhD+LX5+cdz8qOK/2TcDSVh1v09V6YcFJAGQq7i4\nGHCXAL0A9mDMIk0Gc4GsJsH74Zq0wZDE5qW+l5h3cU6wIQp/O8zMwOAwysyvECvWhy4obD6zWF6i\nvpkH1Nh3kSrq+ym3pEYkUYRGxJCPr+8zhyhCQ0MFQIF6IPgoCwsLXOPBYrFYLAYlvEn4YuruQ0B+\nUhJfbGWxWCwvX9F9q62N5t58c8uQhFTDj35ExoQEas7IEKu5sUJ8vrqarjQ2itXjSLDg2HsWi0Et\nmWhzZxnWwhwBWALpD6jtQSKNTJcAeNXz0596nirx9a+vSpWYM5lEqgTmPE638X6lx8S4vcipfu+x\n7OXvfZ7UcWiBCVnJAfMQpiqgAlnLgRXYWKEO8AAAAkxYAAmIsocJCXACsAISJ5DqAIABIAMACkAN\ngCgAOACkQAIEjEx3wu9wG9wW98F9sY3i4mKxTYAZSIwwGo0CjAC0AaMeJqhMjsBzhJEv0yNgEiMx\nA9+D8dpkxYasIpCAhNY09rYUiY2kS7gzvLHyH2b25cuXRUIB3lcYzstVLaKKo0HdP4Nf/vKaVRym\nr3zd8Z1zevpuoNEJSvw0edBjUOJo1T06mNJC+4N0omJDAhLHY0pElQWqNWStBiAE1GlIOAKgggQj\nADFIKEIAEU0XKa15gTJaL1FG22XKbLtCuvarpOu4JpTVed2t5O9xW9wHwjbSWxbF9gBRAKAAPAEQ\nA0CGACcqhgWsgTQLQBNImgDQAbADgMeptDo6XnpxS7DEmZo7joraVgVwE0AnHAuuCQpbgSXWgyQk\nYPNgKFJZATGUvOzAnILxg78hHJcAFiD8+/pwrmIt+M+OzSZJVGYcs6J+B5CEOv9YKioqxDzR2tqK\nShIL5gVtJQnGtYSktquOZC9Kff9wXgAYZ8cK7a2nRvhQTEI6FVe1UfvodTaUWaw9ppFFB3VN3KG6\nzhlR54EEmbikTAoMDqftmGO2ClCo5xknQKGeT8TJj88FLBaLxaAEaxfG37nrAwwJCOALrSwWi+Xl\naRJXUlNp6oUXtg2UGPzMZ6giJsa5mhsrw2eqqmixro5utLTQvc5Oesix9yzWnpyDJKwlUyUeaio4\nMD8AlsBcAbgK84Y2XaIjLY0mPEy+mUSqRGDgilSJ6cpKTpXYQ2pT97m7i5m4gLnXv/s9qY5jLWAC\nEfiylgMmJsxNCU3IpAmsVlffY3N3d7cAJwArwDAHPIGYexiUACgANQCiAOAAkAIC8OAqJEPI3yOt\nAvdB3Qe2AxgDUAS2DUADBjDACEAbMIJRByGTIyQcIdMjYIjitSA5AwaxrNjQAhJ7IUVio0CNa/oI\n3jtZxQFTG+MBYwHjQB0DwoyuU/dV5y9/aZt0+azZ/enP0pvvFNB3/A30T8E19M8RzfTDuC5RvfFL\n3dTa1RsCkjDTocx+2h+SIwCJg6E5KxIkHtdr1NA5XYOADgAfPK7UGBRpDkh2AKigBSMkFAHIAdBD\ndtcNyum+STk9tyi357ZQXu8dyuu7u75wG1W4Pe4LYVsSpBDwhPo4gCckOAFIQwtNIGkCQAfADgAe\nEph4O7ONjhtubRqWOFV931Fe06LguARABLBFwhI4HjYLS6w1VrQpJO9O5CqU9T+vABmWyj5jn56e\nNkvhOIWQ7nB+ath8r+YfbaT7N7QZSOJR5h+SPu2dFZBEeXm5mH8wX6AqBqAXHldWkWCOw1wg5wGG\nJDYmvFfqmML7bfPdhtXf/oEhlJ6jJ1PrOA3Mm9ksZrFYbjV80UbtI9epum2ciipb1XmjjKLjUsgv\nIOiZAhQhISECoFA/u1rVc64EKMx8vmCxWCwGJVjPsdLS0uzuTuz3enr4YiuLxWJ5a5pESwvN/NVf\nbRskIVV99CjVJCVRm05HA0VFYnU4Vopfa24Wq8dhUHKqBIu1d4EtORdpYQnMDTdbW8U8geQHzBlI\ngUBtBtIl+gsLaWADqRJd3/ymM1UCoAXSbbA9wBicKuH9WmhqcnvR0mAw2Pi7n+fAhLZyAQYijFRZ\ny4EkBglNAEAAiACDU4ITgBQAKyBhAPAEAAbUdQCgANQAsxaGJQSYAkISBMAHCP+WP8dtYLrjPhKI\nwLawTWwbxjxADTwmHhvPAc8FlSEw8LVwBMxQbb0GEhLwhwGJjaePSBMc76lMHcE4AJwCExr7B/sM\nkExjcLB1/KMfdciqtl8fSqJ/DKikfwquFmkSP4huox8n9NLP00bpX7Nm6Dd5F2hf8RXar7/5GJQw\nPhCgxBHDTToQXUH7l2s2Dkfk07GoIgFIyAQJpDE8BiS6nOkRgBCQHIE0B8ARIjFCA0ZIKELCEPn9\n96hg4F0qGLwvVDj0QKho6OG6kreT98M2sC0JUQiAQn0swBNOcKL1koA1JDQBkANAB1ImUM2BmpD3\ngIlqOlE4QcdqLZuCJd6pvufQmx7DRVpYAsfxZmCJtSAJOT6wvbuzJosj59+vghnulf+1Hcctxgok\nj+H5ziRF2WSKBPRQ90eO0vRza0ISgHjweJgnJCSBVBmMZcwHsm6HIQnPpL6HeH+3XKuBVeFRcSlU\naGim1qErbACzWKwta2DOTC0Dl6iyaYjy9Q2UkllI4VEJdObsuWcGUAQHBzsyMjLslZWVNiTvYA5F\nCg+fT1gsFotBCdZzoJqaGqu7E/io0cgXW1ksFsuL0iRgTMo0iYVTp7YdkhCrBP/7f19Rv+Fp7D2b\nlCzW3kiVkPORKyyBeUmmS1xtaqJL9fUiXQJpEAKW0Olo4kMf8mgemnjpJaoODqaGDaRK8DzkPcI+\ndRfFixhw/u63OWBCmzKhhSZk0gRABFdwAgYsVohLeAKmLIxQGKKAKAA4QIApICRBAHyA8G/5c3k7\nrZmK7cGQl1AEHgump4zul7UagDq0cIQ2PUKawRKOYEDCsyoOrRmureJwhSWwr2DGA3JBAogpK0vp\n/G9fdAT8xJfeDKmlN0Pr6PsRTQKS+FFct0iTQO3Gr3Lm6LeFi/RWyTU6UH6bDhnuCVDiQNYI7QvO\npgPBOjoUmkNHowrpRGwpnUo0kG9atSZBokukMiCdQVRrID2iYc6ZHKGFI0RShAQjloEICT0UDy9R\n8cgjoZJR8wqVjllWSft7eT+xDVUSolgBT/TeeZw6oT4PCU3IpAlRz1E9JepBkIQBYOJxwkQTnUmv\npVO6djpmvLcpWOJ09V1HeXWjgJCwf3A8SVjCtYZDHhvujgft/9eCJO5c7LbY8//YLfRwveLvYBIJ\ncAHq76yz3Kj45qZTJKB3M/9PR1F6kBW1PWtBEph7MD4BUqE6Bq9Z1u6s9Zr5XLFSAEvq6uqs4eHh\nW4Ij/PwDKTWrhKqaR6j//BIbuywWa8fUO32fGnrnqbyul3KKqykhNYdCwqPJx8f3mQAUQUFBjvT0\ndDugbgAU6jnKon7GYoCCxWKxGJRg7aQmJiYs7k7UpuxsvtjKYrFYXpgmccNopOmPfvSpgBIwKKtC\nQoRB2ZWbu6p+AwYljFEYlHhebFCyWHszVUILS2BuArgggQlAVdeX0yUu1NQIyGGktJSGf/xjj+ei\nzr//e5Eq0arTOVMlAF64S5XgdBvvU7R6HnL9bnP27Fli02tjwIQn0ISs5wA4AQMN4IRMnIARCQMW\nAAMACpiTEqIA4AABppDx+wAfINcofglD4L4AIrAtCUXgMQBqaMEIWash4QgY+hKOcJcewYDE5tIl\nZOrIMiwhqjiwP7CfsR9hSiP9A6Z8bGGj7UdRrQKM+MHy3z+M7RRJEj9NHqSfp4/Tv2bPvpcmgdqN\nijt0uPwmvRVjpH0B6XQgOIsOh+eJmo23E8rpdIpRJC0E5LQ8rtgo7XsMSJgmRDqDTI8AhOAKRwBY\nkGCEhCJWgRDjilNlE1aPpb2fFqSQ8IQWnNBCEyJpov3qeykT9edXAxN5bSI1wyejnk6UXdwULOFT\nc8dRYWpwwhLaGg4JSwAcWC9dQTsm5HjQQhK3L42bbUX/75rJEBcrfmgTiTFNtZbzFb+wWbP/w6YB\nCeiq7gOO3PRIBZBEXl6eUlxcbKmoqHgiJCFfqzZFg+eB1YJh19nZqSQmJtq3YgZGRCeIld3NA4s0\nsuhgw5bFYj1XGlmwU8fYTVH7U1jRJFIowiLjyMf32QEUSAEHQKGexxigYLFYLAYlWE9T6hdDs7sT\ncnJUFF9oZbFYrF1sTGpNSYAJABTudXbShX/5l6cCSUi1/uAHVJeSQh3Z2TRYXCzi87l+g8ViUMJ1\nXpIQF+YnmS5xv7tbzFMyXQKwBAAH1PgM6XQ0+f73ewZtqberiojwGNridBvvUpF6DnL3/QbGGH//\n2zwwsRY0ARABZqMWnhAryu/cEeACAAq89xKigAA3yCSK9SRvJ++HbWBb2OZyWsQKKALPAc9lPThi\nvfQINkY9T5fQwhJ437EfsH8AsABqGR8fF+kgudVd1p+lDNNPkgbox4l9Qj9J7BeAxM9SR0SSBCo3\nfp13gX5XeIneKr0u0iQOFi3S70LzaV/gY0jiSEQ+nYgpWU6ReFyzgaQFAASo2ECChAQkkM7gBCRQ\nq7EMRwBOcIUjtFCEhB30E7YVKp+0eyzX+64CKFzACS00Ies5kDKBehAJTMSbJkUlB9IykJoBOORc\nZj2dLBin45uAJc6YbjiqTDUrajiwzyQsIVMW3MES2r+140DWsdy8Om9Wyj62bn3GWNmvrUPlR61L\nOX/i2AogAY1n/rU9MyNVycrKWgFJ1NTUuIUkXIEQT6tG9prwfoyMjCjZ2dl2Hx+fTZl8vr5nKCkj\nnwwNA9Q384CNWBaLtTsBikUHdY7dpOo2ABTNlKIreqYARWBgoAAo1HOdraurS1R44FzGn1dZLBaL\nQQnWFuUuNu+MesK3DQ/zxVYWi8XyotqNG9nZNPXii+7NxRde8MiAbPyv/5Um17nt6Cc/SbVJSdSm\n09FAURFNrLOSmw1KFmtvwhLu0iW0wATmCYBVSJZADcd5o1FU+Qz/8z97DG21/PjHVKPORUiV6C8s\ndM5FqPYAiAEog6Et71RbcbHbC4tDQ0MKf/fbGDDhCTThDpxwhSe0AIWEKLQC9KCV9nfyPri/Fohw\nhSLcgRFrwREMSGxPuoRrssTt27cfXb169REMaSSDNHUNK/tyZ+mXumkBRCA54ufpY+Jv/B8//1XO\neZEkISAJVG7ob9H+3Cn6XUAmvRWYQQdDsulIZAGdjCujd5IqNSkSXRSpHxCJC0heQMWGTJBAOoMW\nkACM4A6OcIUiVoEPU47Naw2AYgU4oYEmAHCsSJmQwAQSJpYrOZCWASgkvKRXQCKARd7J66dj1Y82\nDEsEV87ZTSaTE5ZApQ1gCQBKAJFkGosWIpDHkPy33P+4nYAkblw1Wyr/0v4kuOFB9v+9ZUDCpvt3\n1JzxE1tmZibMfCU/P18pKSmxGAwGUfeC2hfUe6C2RwtJAOZhSGLtY1wdA5aysjKbn5/fpk286PhU\nKq/ro4E5M5usLBbLuwGK8VtU3TZBhYb3AApAYs8CoAgNDXVkZWXZ1XOgVT33KTjf4bzGn2FZLBaL\nQQmWhyosLLS5O8leam7mi60sFovlJbUb97u66PyXvrR65fXHP049b75Jk2sBFC6K+uUvKeGnP6X2\nV19dO1Xi2DEBSsCcROT9nMkkVobfbG0Vq8UfMijBYjEssQxLuKvjkLAEgAak0SCVBhUcw5mZHqdK\nDH/601QVH0+NaWnUnZcn6jtmjUZnqgTPRd6r8/X1bi8gGo1GK3/32x5oYi1wQps4IeEJCVBoIQoJ\nUngi7X20QIQWilgLjGA44umNB7nv8d7jD8AVVHBcu3bt0cWLFx+NTs6aT+kvOX5buChAiF/nztOv\ncuYEGPFYcyJF4rcFC/S7ossCktivv0n70vvoN+dSRJLEwdBsOhpZSCfj9aJq45yuQdRPABQQKRKm\nCQEQIHkBCQwrEiQ06RFrwRGeQhEV0+SxPIEn1oImtCkTK4CJ9qsiJQNpGQk108t1HAMCFvHPbiaf\nnC46Zrq/YVgivqLfhnqKtrY2C9I/ABSg3gYpLqiwASwhYQKZLKE93iUkgdsBrliq/bZtqwCEJ7qv\n+z8c5emnrYAkcnJylIKCAqWsrMxSVVVlqaurE6+nt7dXQBKogXGXJIF5hCGJx4KZVlNTY4XJtlmD\nLiQsSqy07p68ywYqi8VigEIDUKTqiik8Kv6ZABS+vr4UFxdnLy4utrW2tlpnZmYs6uc1TthjsVgs\nBiVY7oS+QXcn1M7SUr7YusEL/6znXzxmWXsVlLjm778iPWLyK1+h4VOnqEOno+bTpz0yHkc/8AEK\nOXiQwo8coejjx6nk+9+n4Q9/eNXthl57jdqzspygBFaDY1W41pzE6nFeyc1i7e3PTO6ACS0sgfkC\ngBVAKwBXmE9G3nzT41SJukOHqDY52ZlwgwqPCzU1G0qVuBcSQgt/+7dCDzMzV/xu8dvfpkt/93cr\nX6O6nVsnT9LiN79Jc3/+57T4+ut08+hRcqiPwWNgZ7Sknl/cfbdJT0+383e/7YMmngROaOEJbfqE\nFqTwVNr7arfpCkU8CYxgOGJ7JN9frWEO81kDSpgj66/aAT6gSmNf8RUBQyA1AuAEhH/jZ/tKrtL+\nshsiSeKt1C76jd8yJBGWQ8eiiuhkfDn5pJpEekJwQYeonxApEjXTzpoNJC8AKJAJEq6AhLZSYz0w\nYiNAxEblCTThCkxoKzmQkoG0DEAh2nQJVI8E5raSb04HHa9+sCFQ4kSthTL1TVbUVLS3t5sHBwcF\nWID9h6ob7E8AMBIq0B7LEoACJIEUmAct/7ojkMTFjE/a8zKiRdVGbm6uUlRUZNHr9Raj0Wipr6/H\n67D09fVZRkZGRKoJwI/Lly9z3YaLcMziOmB8fLx9swacn38g6QoqqWXgEpujLBaL5SFAUdM+SUWG\nFkrNenYABeo78L2oqqrKqp4zlUuXLllwfufPuCwWi8WgxJ7W4uKixd2JE/2+fLF1Y2CEvODPer7E\n0ARrr81R2lh7mI4Pmppo5pVXaOZjH6P5n/+c5nQ6EUMP4xBAQ+cvfuGR6dj26qtOSCL+1ClK9vEh\n3enT1Pztb69IpMC/u+LixPZdQYm7HR2iBoRBCRaLP0etVcchYQnMFbKCY6Gu7nGqhPr51NMEnN6/\n/msyJiRQU3q6SJUYLStzzkcy4eZJVUA3Dx1ybu/CF75ApPndzAc/KKSFJC5+5SvO289+8pPOf+Pn\nDEvsnMICA1d9t/H393fwd7+nB024ghNaeMIdRLEZuW7P9fEYjNi5/a+t38AfGNCo3oDBXtBz3Xqo\n8l06aLhLB8pvP67TKLshoAmtAFLgdwcr7tBb6b0CkhB1G8uQxNsJFeSbVkN+WU3LVRuDFGccd6ZI\nyJoNgAQACmTFhhaQWJEesYNgxGahCVdgQlZyAAJBWgagEMAhqBpB5Ui0YYTCS/tEFcfZ3C46btoY\nLHHSpL5veqOCuoqOjg4zUhhmZmbMi4uLoqZCC0toE2Jk3QYgiXd7zlifNiBh1v3v1JTx0xVVG8XF\nxZaKigoLUjGamprw/EUyxujoqHgNgCRQJcKQxHtCUgiMsc1Wa8DQS84ooJr2KRpZsLP5yWKxWNsA\nUHSN39YAFCUUHpVAvmfO7ig8cfr0aYqMjHTk5eXZGhoarOPj4wrOGfxZmsVisRiU2DPCF8QzZ1YT\njOGBgXyh1YNVkK6rIVnPp9YDJ3h8s7wdlLgZGkrX1Dn9VmMjXVE1X10tVlYPFhdTR3Y29X/72x6Z\njqbXXnNCEim+vpTp50e5QUFUFBZGRvX/g1/84nupEj/6EQ2p28fjyOoNLSjxpFXcLBZrbwIT2rlr\nabmC41Zbm5i7ZKrE2Ne+5tGcBaDC6O9PdSkpAgrDnDdlMIgqD1R63NGAW9blzwtrgRLTH/iA+Pvd\nmJg1QYm7wcGPAYlPfILM6tyHnynqfHv+z/5M/PyO+lx43++M8hIT3V4ExAU//v63s/CEO4Biq1rv\nsXhf7Mx+lokSMl0ApvnNmzcf9UxftxytXqLDxgd0uOo+AZg4ZLgnoAkAESuk/gy/268bpN/6pdD+\nwEwnJHEq0UBn0mspIKdFQBKyaiO5/vzjFIn2q++lSCzXbHgCSDwrOMIjaGIdYAIQCNIyZLoEqkZS\nGy9QYu0MxVaNiaQNJG6cyeum49UPNwRLnK265DAYDEpDQ4Olu7tbgAbnz58XsISEDJAcoa3Nwf7G\nfHpvOFmhrN97qpDEfPqn7LlpEYpOp3NWbZSWlloqKystADxaWlosXV1d6seGAfP4+Lh5dnZWpGIA\nkkAlCJ7rXock5ubmLOp7Z4cRthkDLSY+jSrq+2hgzszGJovFYu0UQDFxW4BpRZWtlJZVQhHROw9Q\nnDt3jpKSkux6vd6GJKL5+XnL0tISf59isVgsBiW8U8nJyW4j9x709fHFVg96tWW3thQu7rOerbT7\nw6rZT+tBEzzWWd4KSkizEVHziJxH9DzMQoAMXbm5NPr5z3tkOha/+eYKSCIvOJiKw8OpIiaGTAkJ\nVJ+aSt1Hj9LEJz9Jk6+8QqMlJWIFOB4PJidWcK8HSvBxyGLx5yw5f2F+AMCA+eKuS6rEiLZK6Alq\n/x//Q8xPzRkZ1JufT2N6vRPeAoCBuRFz5FrglgQlrv/mN+Lvuc99jhzqbdyBEguvvy5uc+vtt1e8\nvjvqnClSJf7mb3h/75CaCgrcXuwbGxtT+Lvf8wNQbEX83j77NAkYzojwR+IAzPRLV6+b/RqWHEer\nH9ER09JjGR86oQknOKFK/v9Azjj9zi+N9gc9hiSORxevgCRCi7opumJYpCegaiOj9RJldV5fmSIx\n8ugxJDGurKzYeI4BiXWhCVdgYswiXp+s4xDpEt03BSzirOIwjlOkfoBCCjvpbH4vHatZ2hAsEVfW\nZQN40NzcbOnt7RXAwdzcnLO2AskSAA4g7GskSdyeKLM4sn//qQESjzL/kOrTfmpLT08XkIS7qo22\ntjZLT0+PZWhoyDwxMSEAj4WFBfPVq1c9hiS8dT7Ba0WkemxsrGMz5lhIeDQVGpqpe/Ium5YsFov1\nHKlr4o4AKDBHp2QWUmh4DJ328dlRgCIkJMShnpvt1dXVVvUcrCBRDOdX/qzMYrEYlGDtaqlfNK3u\nTnwT1dV88d7NxXubBo6ACYkL+RCMPwgX3FnPXnJ/YN9oAQpXYIJhCdZeACXud3eL1dPXls3Gmaoq\nGiktpd7cXJp83/s8Mhwzf/tbUbchIYmSiAgyxMZSTVISNaalUZtOJ8CLgZwcGv/Zz2gyIEDE3OPx\nAGjAlETU/UP1+bir3uBjkMXi+UvOYe5SJQA3AHIA7DDx6qsezVtjH/4wVUZHC5CrU52bAIgBtsC8\nBPgCEIack9zVb0hQAkkSi9/4hvj33aAgt6DE+c9+Vvz+YUbGite1lJ39OGnilVd4P++Qpmpr3V7U\nq62ttfJ3PxZre9MkkDYAU7pg4K7tWI2FjtaYH6v6EblCE1odKl6k3wVmCEjiUFguHXOBJMKKe0S1\nBCAJpCcgRQFpCnm9d0S6grsUid0ISHgCTDjTJYaXBBwCSGRFFUf9+RWwhG/RMB3fAChxovoB5RQb\nFNRYtLa2igoLgAfz8/MClrh+/bpIDLl165b4+8Zsk8We+x8dTwOQsOv+LY2mfsGuSw5T0tLSlKys\nLFG1UVJSsqpqo6+vzzIyMmKempoSYMelS5fMMGtEJchyCsZegyTU122uq6uzooN+o8aXn38gZRVW\nUcvgZTYjWSwWaxdp+KKNWoeukKFxkLKLTRSblEn+AcE7Ck/4+voS4LyioiJbS0uLdXp62nLv3j1O\nn2CxWAxKsHaPRkdHFXcnuZrcXL5g76Y7WwISEorABXaseIQRiYv5EMxA1rOR3AfYH9gvkAQnJDTh\nCkwwLMHyVqMRYx1jX67KRv3Fpfp6Z4T9YHS0R2bj+EsvUYp6Xsg4d07UbUhIojY5WazURoUHVmsj\n2n60rExUbswuR9zD3IQhiUQLHJsMSrBYLE9gL22qhAS9MKcgEWd0/36PUyUaf/ELqk5MpJbMTOor\nKBBzHyqIkHSDeQmfF9aqA5KgxL2wMHqE6g7136jScKjPyxWUmP3Yx8Tvl1w+Pz8qLHTWd/A+3hm9\nq55n3H23wcon/u7HYm09TUJRFGeaBNIGhudvWk7UKQRQQsoJTGigCSc8UXmH9oXk0f5g3fqQRM20\ngCQy266sqNoAMLBeisRuBCTWq+TQpksgQQOQiKziWAFLmCYoUj8oYIl3ymY3lCrhZ7hgLysrU2pq\nagAhmJHSAAABsAQAhCtXrjyCrs31m20F//mpQBIzKa/Ys+PesSYmJq6AJNaq2hgbGzPPzMyYL1y4\nIIEOpF+YMS4BSWCMYqzuhbqNxcVFS2Fhoc1ng6uKfX3PUHJmIdV2TNHIgp0NRxaLxfIi9c0+pPru\n81Rq6qD0nLLH9R2+Z3YUoAgICHCo53S7wWCw9fb2KgsLCxYAjPzZmsViMSjBeu4Ews/dySxN08O8\n1w1H7epsXLRfWoYjJBSBC/i42I4Vj4iXh2BIsnZeeO+xHyDsF5jD2EcwQh5qgIm1YAk2GFjeNG9J\noxFjH8cBjguYg6jDAMwwcvy4R0Zj72c+Q2lnzlB2QAAVhYWJug0kSQCSQIpEf2GhSKiAAYnV2gAx\nJCQBcxOPi2MRxyHmT8ylfPyxWKyNpErg/I45BUk1o/n5NPnBD3o0fw1+7nNUGRdHDampYr7CXIVU\nncW6OvG5AXOjdl7SzklOUCIkRDy/S2+8If5/28eHZj/xiRWgxIUvfelx+kR09IrXdD8hQfx8/vOf\n5328gwry81v13SYoKMjB3/1YrO1Jk4ARjWqDa9dvmENalhwrjHcNMLEKnKheordiKh8nSYTm0LGo\nIno7oYJ802pWQxJNF1dAErJqA8AAIAknIOFFkMRa6RJOWEJ93YBEtLAE6khWwhIDFFzYSW8brm2s\ngqOo2VZRUaE0NDQARjAPDw87YYmLFy8+Wjg/alZKPrjtkMSl1D915EX/1hoVFaXEx8crKSkpom5D\nQhJVVVWWurq6Nas2rly5Iqo2UAsCSGJpaWlPQBJ4Teo+UtAfv2HjKihU9N73n19iM5HFYrH2kEYW\nHdQxdpOMLaOUr6+nxLRcCgoJ31F4AoqMjHSo53lbc3OzSJ948OABp0+wWCwGJVjPXuiXcj1pnT1z\nZs8aV2tBEjDZH2pi7GH+4SI7jEBcvMdF94XaWmEQwoiEsGpRao61bZp3kXy/8f5jP2DVPOL+sW+w\njwCywAyRCRMMS7D20ty1Vv3G+He/65HR2PTaa6JyIz8khMqiosiUkEBN6emPqzaKikSKBFZ5w8DE\ncYhjEEDGdRdIQsJKfOyxWCxPUyVkKo6cvyToNfq973mcKlFz8qRIwEFFEOYs3B/bwfawXWzfXaqE\nKyhhVu839eKLNPvxj4sqDS0oce0XvxC3vfR3f7fi9Vz+p38SP7/yz//M+3cHpYuLc3tRDrHk/N2P\nxdpamgT+wJC+ffu22TR617quAe8CTBxMaaO3AjPoYEg2HYsspJPx5SshiYrhVUkSqJrQQhLemCKx\n0SoOwBJI1kDCBupIVsASyzUcgQXddML0rsegxEnjXcorKFKMRqOlubnZ0t3dLWAJQAnTk6OWJf2r\n9u0EJB5m/CGVRH7PFhISokRERCixsbEw/ZXMzEwlLy/PCUnU19db2tvbLb29vSuqNhYXF51VG4B2\nHjx44KzawDiVgIS3QRJLS0tmGEvuruE9SVGxyWRsHuH0CBaLxWKt0OC8hZr6F0hf20u6fANFx6fS\n2XP+OwpPBAcHO7KysuyokBobG1PwOZM/h7NYLAYlWDsq9Yuozd1J6kprKxuNGkjiI21J9PttkUL/\nrjWCtQt0tDHXCU1gNeodzap2jv9neev8tZbRqK3fmDUaafLTn/bIZDS++aYzTQKVG/WpqdSelSWS\nJMb0epEiAWBJAhIwH3G8AVDCY8rKDTwPWX8jjzttzD2LxWK5S5WQqTiYV+T8NZqURFMvvODRHNb9\nta+RcRnw6snLE3AXwC5Artgm5iiZKrEeKAFd+f73ndvVghJKbS1Nv/iiE5a4rX6OvvyP//j4ti+9\nRBb18Xj/7pxqc3PdXoCbnJy08Hc/FmtraRIwpLF6/8q1G2bfRrPDUyP+cNEcvRWUKSCJo1GAJPTk\nm1ZN/tlNFFrUTVHlQ5RQPcWQhAfpEk+CJWKrxiiirJ/8i4fU997y5P2zDLKEFXfaSkpKJCxh7unp\nMQ8NDZrvGl6zP426je74v7KHhoYoSJNISEgQlRs5OTlKcXGxqNtAkgQgib6+Psvo6Kh5enraWQci\nqzbeffddkXAiIQl3KRLeAEkACtHr9bYzZzYWm446jhRdETUPXGIzkMVisVgbUvfkXVHPVGRooZTM\nQgqNiKHTG6x52or8/f1FdUdVVZV1YGBAwbkQ53f+jM5isRiUYD0VtbW1Wd2dkHr0eo6u10TXv9yW\nQP9TazhrF2lfrU6YIUj5gIELk/jOEyoA2GBgeXP9hjO+PivL49XYhQcPUl5wsDNNApUbMBsRYQ9I\nAiuzYV66AyS49obFYm1HqgTmEswtAB8BZk2Ul9P4V77i0Rw28dJLVKXOYXUpKdSRnU2DxcUiBQfp\nOki+ubucKoE5Ss5PApRQ5z5XUEJRH1sCEVpQAnqozqtImtA+NtInHqpzJu/XndWYyeT2YltTU5OV\nv/uxWFtLk4AxjVV+lSNPSJPQCpUbYQV0ICSLDkfk04nYUjqdYiS/rEYKKeykSP0gxZsmKaVhnjLa\nLq+GJMaVPQtJeApLoIZD13GN0poXKKlulmIqRym8pJdOl1/0GJQ4brxDmdl5il6vt9TU1FhaWlrM\nVw3ftT0NSEJqMvnP7PGxUUpycrKo3CgsLFQqKirE47e2tjqTJABJXLhwwXz58mXzjRs3PK7a2M2Q\nBJ47AL+MjIwN12v4+QdSXlkd9U6/y2Yfi8VisbZNwxdt1Dp0hQyNg5RTXE1xSZnkHxC8Y/AEgMGE\nhAQ74MHu7m5lYWHBgs8A/LmdxWIxKMHasi5evGhxd/IpSUvbsyaju9h6BiV2n35lTHPWAsBYgUEs\nO8m1UdtWBiVYXpoqoZ3HAC6gCgPHwezx4x4ZjCMf+QhlBQRQYVgYVcTECKMRaRKIr4dROWcyCUhC\nW7OBx8HxBUBiySVJwh0kwccdi8VaL1VCwl4yFWdxuT5o9OxZj4Gv1jffFKBXS2Ym9ebn0/jy/AWI\nEgAGPue51m9YamtpKSeHbOpjap+fubRU/HxJ3c6q564+V/z+fnw8PVL/dqjb5H2687qpfs5z992m\nvLzcxt/9WKytp0lcvrqxNIkDaR20P1hHh8Jy6XhMCb2TVEnnMuspKL9dJB/EmSYouWGOMlovUXbX\nDcrru8tJEhuFJQbedcISqU0XRYVJtGGEQop76bjp/hNBiaM1Zjpa/YiCCzpt+fn5ijpfWqb1v7A+\nTUhCajHjQ46s9HglNzdXVG4g0aKpqQn1H5ahoSHz5OSkSJJYD5LwpqoNvIbe3l4FHe4bNZDCImKp\nor6Phi5a2dBjsVgs1o6pb/YhNXTPUampg9JzyigiOoF8fc/sCDxx+vRpio6OdhQWFtpaW1uts7Oz\nFlRV8ed5FovFoARrQ8KFDx830UlRwcF7fiW2NrL+pdZ4hg92mX5WkSQMkeGSEmcnuTRFtFHbvMKd\n5e3R9a6gxPS3vuWRudj25S9TTmAgFYeHU1V8PDWmpVH3cpoEjEqsyEaSBI4pAEiuCRJ4bHeQBB9r\nLBbL089jsgIN8wvmMJzHATmM6/U04WGF0MinPkWVcXHUkJpKnTk54nMB5jBAFxKgfKj5TMDw5O4W\nzjnuLqLl5uYyKMFibTFN4tatW2b90B2P0ySOlF2h/UE6OhiaIyo33k6oIN+0GgrMbRWJB6iJQAIC\naiNQH4EaCSQkaCEJAUjscUjiSbBE0dBDAUvk9NwS1SWoMEGVCSpN/EvHPQYljlXeobTMHKUr/y0b\nZf0b2glQArqd9f85KgqSRJpEbW2tqNzo7+83j42NmWdnZ82Li4tmRG6jbmMtSMIbUiSmpqYsMTEx\njo0aRAmpOcKgYrOOxWKxWM+LRhYd1Dl2k0wtY5Svr6ek9HwKCYsS562dAChCQ0MdOTk59oaGBuvE\nxITl7t27DE+wWCwGJVjrC7FF7k4qS/39bC4um4svtsQxfLDL9MPSOLF6VFsTsFBbK0wRbdS2dgUp\nm7csrwcl6upo6iMf8chcrPrRj0TtRmlkpHM1dl9BgXM1NqAL1G3IlBY8jgQkJBwhAQl3kAQfaywW\n60kJX7JCSIKrSLABpIW0qNHf/MbjVInqEyeoJimJWnU66i8sFKk4AChR5wHYS5s0Jes3eI7avTrn\npsc9KSnJzt/7WKytp0n4NHiWJnFc1f7o8vcqN+LKyCfVRP7ZTRRa1E3RFcMi+QB1EUhCQCKCgCSG\nlzhJYpOwBCpLUF2CChOkdMQZx0VqxzuV19et3QAoccS0REeMDyk2p9h2W/enDkvWfyDK+r0dgyUe\nZv9fjpbKFAVpEl1dXSJNYmpqSlRuXLlyxXzz5k3zvXv3Hj18+NDrIImrV6+aN1qxcebsOcoqrKLO\n8VtsyLFYLBZr12hw3kJNfQtUVt1N6Tl6Co9KIB8f3x2BJwICAhw435pMJqv6OUO5fv26eTcDliwW\ni0EJ1jbLYDDY3J1A0PG7l81FbdQzgxK7T98rjKLqpKRV5q40RWTUtusKUjZGWN4wn7mCEoAZADUs\nJCd7Ziy+8ALlnzpFBaGhVB4dTbXq/VC7MVhcLAzKi7W1Ik3ijjpH4liSkIQ2PWI9QIKPMxaLtRng\nC/MYIK3zRiON5ubS5MsvezSndXzzmyIZpyk9XSTjoJoL25DAlzZpysapErteEUFBq77XhIeHO/h7\nH4u1uTQJrOK/ffu2uW7stuJpmsThwll6KyhTVG4ciy52Vm4EF3RQpH6Q4k2TIvkACQhIQkAiAiAJ\nmP4MSWwclkAKBypLUF2CdA6kdCCtI6ZylILKRuhY3ZNBicPGB3RMf8WRnJIiqjDKSkuU2opsS4cx\nUemrDLQOlx+1Tpb93Dpb9IbtYv5X7JdzP2u/mfV+x7u6P3FYdH+wZVhCyf5PjqH6RKW3t9cyOjpq\nnpmZMS8sLKxKkwC8A4jHFZTYbcfau+++ay4tLbVtZHVtUEiEiDYfmDez4cZisVgsr9Dwgp3ahq+S\noWFAQIDR8akCCNwJeOLs2bMCqK+oqLCh+urSpUsWfMbg7wQsFotBiT0o9Uuo4u5kUZaevueMRUi7\nehGGOsxABiV2n76T89jgrUtOpo7sbBG1jVQJd6YIgxIsbwYlHi6DEoC+5vbt88hUHPj0p0XtRlFY\nGBliY0VkfVdurkhnmTUa6VJ9/YrIem06ixaOcAdI8DHGYrE8ncdc69AAZ+FzGdIgUKs1/vrrHs1p\nYx/+MFXgM0FKivhMIKEvpFMgpQJgrJzL+DPB7ldKVJTbi2D8vY/F8hyUkGkSMKaxkh+r7iLbHtg9\nAyUstD+ylA6GZNORyAJ6O6H8vcqN0j5RuZFcf54yWi+JBASY+0hEACQB058hiY3BEgBLkMIB0ASp\nHEjnQEpHatNFZwXH6cqrHoEShyrfpdC0EmtGRoZSUFBg0ev1FqPRaKmurha1GDU1NRaTyWSpqqqy\noCqjtLTUUlRUZFFvq+TnZiml2dFKZdYZa23mAWtzxk9s3Rlv2EYyXrPPZHzevpjxcftN3Z86Huj+\n2GHT/Tu3sIQ9+3+j2eYIZWJiwjw3N2e+dOmS+caNG2YkmiDZBH8A8GB87lZIAsdVfX29FeclT42c\nmIQ0qm6bEFHmbKqxWCwWay8IqUnGllHKLa2luGQd+QUE7Qg8gYp6VGEVFxfb2tvbrernEQs+f/D3\nBBaLxaCElwt/cBJYRav7+e3pC/LaPuwXmmMZPthl+ntdEBWGhpIxPp5aMjJE1DZMFddOcmmKcNQ2\nyxtBCW1kPczFmS9/2SNTsekb36DcoCAqiYggY0KCWIWNGpsxvV4ks2BexPzoLpllLTiCjy0Wi7XV\npC8JfeFcPlNVRaPq51dP6zdq9+1bVSM0X10t5jNt0pRrJRfvj92nvKQktxe9ENfO3/1YrCfXbmCl\nPoxoHDMyTWL8wnWLp2kSh/KnaH+wjg6H59HxmBI6nVxFflmNFFLYtapyI6/3zuPKjZFHDElsIVVC\nwhLOCo6eWysqOEL1I3QcYMQTqjcASpzKHbQnJycrOTk5SnFxsQIgAnBEXV2dpb6+XvwNaALwBCAK\ng8EgoImysjJLSUmJRb2PpbCwUBHwRH6+UF5envPf+B1uYyjLUxrKk5QuQ5gyXOljnak6YL1s+pnt\npulN2/mRRgtqNy5fvuxR7cZuOb76+vqU4OBgh6dGTXpOmVhly4YZi8VisVhEvdP3qbZjmgr/f/bO\nAjyK62vjX6lRd3eoKxWq/7bUhQptaYG2UCq0hRZaWiBYsBDi7u62cfeNK3EDQkKIQHAPbDaB8+25\nyUxnd2eTCRESODzP+4TduXNHdvbOzJ7fvG98Dnj4hjKnpZGAJziHQtX1THd2dnbXtm3bOtEZiu4f\nSCQCJUjnmXx8fEQzEXfl5l7QoAQ6D+CT0wRKjD195WsKQebmEOvoyJ6GR6ttLIoInx7FAjKBEqTz\nsbioOZZhEbA9JQXqJ06UVFCMW7gQQq2sIMbBAVLd3SEvIICHjfBJbi52g/sOaRYWCY4gkUjDdW3G\nxrOsLAY5bImOhm1PPilpXNv84YeQ6OIi6pCD13sIYYg5TdFnMfaUoDpnid3XHDx4kH7MIpEGGLtx\n7NixU/hEf2jZkW4pkIS+SkvtopibxCqHcOYmsck3HSxk+WAXUw4uKVvBK3OnVuQGFvmx2E+QxOAi\nONCVQzOCwz29ARwTarRdJQSgxKrUUwyUWJF0HJbHHwRnN2+lv78/Axvi4uIYKIGQRHZ2dmdOTo4i\nNzeX/T8rK6szMzOTwROc2wTCE+g4kZiYyEMUQuF7OB3bInCB/eTn53eWlJR0VlZWKrZs2aJobGxk\nsRt79uxR4NiNxyG6myAoMRZjNxoaGjqdnZ3PSC3GuPuEQFHdASqKkUgkEonUjyqaFJBZupNFU/kE\nRoGNnTMYiDwQPBwyNzc/o7peOq26BuqqqalRItw5FuPASCQSgRKkXqluTLvEBvzM0NAL7sd4/IEc\nf4znsrDxqcUHJIIS43JspCnXliRVGvvuolwbSZ/FNG9j8DUygkhbW0jz8ICioCBWFOmryEuFXdL5\nVljEoh+OZej+0GJjI6mYuHXiRAhRfXfCrHvja7y8oCAwkFnVY3xNq4YrCxUVSSTSSLhKCB1yEHjE\nsQjHpC2zZ0sb2x56CBJU42C6pyfkBwRARUSEFvwl5irRl0sOOeeMTmWFhYn+kNXc3NxJ930kkvTY\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kUMJpzRoelMgiUIJ0gYxheDxz1vRYSGyxtJRWPFQpbO1aCLO2hjhHR0jz8ID8gACoiIhg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vr5J2lWylaaHlFD03zSzYIRgAkEFMHuEHogQrhAAEgQIIQAIE4BD7XkkVLPgnUwrOe90pu4aNij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4YlktXn7tQpU2iKWtOmTaPp06czLDFr1iwNLJGXl1cvviaXX5SfHzcJEbuBL/v//fdfjt3Y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\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DE7UMkIjLMjLniOS8WkopqCe9i4cFlPjOD0ija6dcQzcVVvayYitWpSN2A/b9OBZ+w1iA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\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wclucwMCRBCV+fWrq3kcLXdwt/s7IyMg4JJ97SFBi1Mrb29vkB7aTk7Ms9EhJSUmdZFDi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Gh6igNdl+5MN2S50o057nRTrgfdnOdJN+d70S0FGhV6M91a5CNkouJ9iP5Ev6J/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\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KDskfUywsLGAsjzwRu0roRnDs2LGDIji6urpUzc3NqsrKSlVefn6va073sZPpB6aZu8Au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\nqLtEVlbWEfzewr/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gBMAH/D/8xdupb3Mup10oP6fI623roIRBPWVRVkEJaEtuoGEZ7zZ7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UL4Wzi9HAeOkENNfX2WBGKY4j0AIAKUYlCCQQnWyFRxQZrdB0AiIyOP8r0/i0EJFmukDFSuXm1w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G6nTmkCKAEuf7vnTH7bfqDUpwcQ0HLVk4vU+gRF9Vkh/DtjucQQm45PVwzrOy6ubPgFwclODi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\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9MjKi7+rq0tc2NBu8dRfvcf0ZyLV0lgILeim0ZNCmDY5sxWGTLuGgHQcnTNDdxSbNmtWm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\nhVbfxCe2aGigkxh0DU0QT2iMEKy20UB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- "prompt_number": 24,
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 24
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Original source on the [scikit-learn website](http://scikit-learn.org/stable/tutorial/machine_learning_map/)"
+ }
+ ],
+ "source": [
+ "from sklearn import neighbors, datasets\n",
+ "\n",
+ "iris = datasets.load_iris()\n",
+ "X, y = iris.data, iris.target\n",
+ "\n",
+ "# create the model\n",
+ "knn = neighbors.KNeighborsClassifier(n_neighbors=5)\n",
+ "\n",
+ "# fit the model\n",
+ "knn.fit(X, y)\n",
+ "\n",
+ "# What kind of iris has 3cm x 5cm sepal and 4cm x 2cm petal?\n",
+ "# call the \"predict\" method:\n",
+ "result = knn.predict([[3, 5, 4, 2],])\n",
+ "\n",
+ "print(iris.target_names[result])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "You can also do probabilistic predictions:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[ 0. , 0.8, 0.2]])"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "knn.predict_proba([[3, 5, 4, 2],])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "markdown",
+ "data": {
+ "image/png": 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PWR9/bNH+b8WFpUsZV1Z9zXTuHCt++IFxM2bYbP/W5ogj7oqWHl1KzIQYAAoo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\n/9ndVFMCJv+4AAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "## Quick Application: Optical Character Recognition"
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from fig_code import plot_iris_knn\n",
+ "plot_iris_knn()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "---\n",
+ "\n",
+ "#### Exercise\n",
+ "\n",
+ "Use a different estimator on the same problem: ``sklearn.svm.SVC``.\n",
+ "\n",
+ "*Note that you don't have to know what it is do use it. We're simply trying out the interface here*\n",
+ "\n",
+ "*If you finish early, try to create a similar plot as above with the SVC estimator.*"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.svm import SVC"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "['virginica']\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "To demonstrate the above principles on a more interesting problem, let's consider OCR (Optical Character Recognition) \u2013 that is, recognizing hand-written digits.\n",
- "In the wild, this problem involves both locating and identifying characters in an image. Here we'll take a shortcut and use scikit-learn's set of pre-formatted digits, which is built-in to the library."
+ }
+ ],
+ "source": []
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Regression Example\n",
+ "\n",
+ "One of the simplest regression problems is fitting a line to data, which we saw above.\n",
+ "Scikit-learn also contains more sophisticated regression algorithms"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Create some simple data\n",
+ "import numpy as np\n",
+ "np.random.seed(0)\n",
+ "X = np.random.random(size=(20, 1))\n",
+ "y = 3 * X.squeeze() + 2 + np.random.randn(20)\n",
+ "\n",
+ "plt.plot(X.squeeze(), y, 'o');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "As above, we can plot a line of best fit:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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CmSfLsjg3eIFoZ5xms4XkeB8AlcUVU9dsjSDX+66jyF3kcKUiIrkn74NXro1l\nWVwYfIOYmSBmxukZm/rkW15cxq0NNxIOhNjs26CwFcljmhdjDwVvAbMsizeG3iRqxomZCbpHewAo\nK/JwUyBMJBBkc+31lLj1MhEpBFq9zB558Y6qWXjzc3HoErHpsO0c6QKgtKh0alGLQIgbajdRUlTi\ncJUi4gTNi8m+nJ/VXGiz8BY6E/TSsEnMjBM1E1wa7gSgxF3CtvothI0g2+o2U1pUutjl5izNuM0+\n9Tj71GN7FNysZs3CuzpzpHtmZPvG0JsAFLuLCfm3ETGC3FC3hbJij8NViogUlpwPXrlS92jvVNh2\nxrkwdBGAYlcR2+u3EjaCBOu3UlZc5nCVIiKFK+eDV7PwoHcsOTUbuTPBucELALhdbrbWbSJihAjW\n30BFSbnDVYqICORB8BbqLLy+8X6azRainXHODpwDpsJ2S+31hI0gIf82KksqHK5SRETeKeeDFwpn\nFl7/+CDRk1H+z+nfcaa/AwsLFy6u920gbATZ4d+Gt7TK6TJFRGQWeRG8+bw61WBqiKNdUyPbU31n\nZ8J2Q826qbA1trOsNP9mb4uI5Ku8CN58MzQxTNw8RsxMcCJ5CoupO77WV6/lQ+tvYmPF9dR4qh2u\nUkREFkLBu0SMTIwQ724l1hmnPXmSjJUBYO2yNYSnd/7xldXovjwRkRyn4HXQ6OQYia7jxMw4bb0n\nSVtpANZ4VxI2QoSNIHXltQ5XKSIii0nBa7OxyTFautuImQlae08wmZkEYFXViumRbQh/RZ3DVYqI\nSLYoeG0wnk5xbDpsj/e0MTEdtisqG6bCNhAiUOF3uEoREbHDrME7MTHBn//5n3Px4kVSqRSPPPII\nv/d7v2dXbTktlZ6gtaedqBnnWHcbqcwEAIEKg8h02C6vDDhcpYiI2G3W4P3nf/5namtr+c53vkN/\nfz+f+MQnFLyzmMhM0tZzgqgZp6W7lfF0CgB/ed3Mzj8rKhtwuVwOVyoiIk6ZNXjvuusuPv7xjwOQ\nyWQoKtIm6O80mZmkvfckMTNBvOs4Y+kxAOrKavnQyiCRQIhVVSsUtiIiAswRvBUVU0sODg0N8Sd/\n8id84QtfsKWopS6dSXMieYqoGSfedZzRyVEAfJ4adq68mYgRYo13lcJWRETeZc79eN98800+//nP\n8+CDD/LJT37SrrqWnHQmTWvXSV45H+V3rzczmBoGoLa8hltXh7l9dYSNdesUtiIiMqtZg7e7u5s9\ne/bwxBPWGBhNAAALXklEQVRPcOutt17TE+bT4g4ZK8PpvrNEzQRHzRYGJ4YAWFbqpcnYTtgIsb66\nEbfLbVtNWkDDHupz9qnH2ace28Pvn9+yvbOeav7BD37A4OAghw4d4tChQwA888wzeDz5u3l6xspw\npv8cMTPBUTNBf2rqRVtVUskHV95G2AiyoWadrWErIiL5Y85TzfOVi5+uLMuiY+A8UTNOs9lC33g/\nAJXFFewwthE2QmysWU+R2/nJZfoEaw/1OfvU4+xTj+2xqCPefGZZFucHXydqxol1JkiO9wFQXlzO\nrctvJGKE2OTbsCTCVkRE8kdBBa9lWbw+dJGYmSDWGad7rBeAsqIybmmIEDaCbK7dSLG7oNoiIiI2\nyvuEsSyLi8OXiHXGiZkJzNFuADxFpdwY2EHYCLG19npKikocrlRERApB3gbvpeFOop1xomaCzhET\ngFJ3CWEjSMQIsbVuM6UKWxERsVleBW/nSNfMyPbi8CUAStzF7PBvJ2wE2Va/BU9RqcNViohIIcv5\n4O0e7SE6HbavD10EoNhVRLD+BsJGkO31WygrLnO4SlkqDhxupq0jCcCWtT72725yuCIRKTQ5Gbw9\no0li5lTYnh98HYAiVxE31G0mYoQI+rdSXlzucJWy1Bw43EzrdOgCtHYk2XfoCHt3BWlsmN/tACIi\nC5UzwZsc66PZTBA1E3QMnAfA7XKztXYTYSNIyH8DFSUVDlcpS1nbZaH7luTgOE8+n+DgozsdqEhE\nCtGSDt6+8X6OmseImnHO9HcA4MLFZt/GqbA1tlFVUulskSIiIvOw5IJ3IDXIUbOFqBnndF8HFhYu\nXGysWU8kEGKHfzve0iqny5QctGWt74pTzQA+r4e9u4IOVSQihWhJBO9QapijXS1EzQQnk6exmFrF\n8rrqtYQDIZr8Qao9ugYn78/+3U3sO3SE5OA4MBW6OsUsInZzLHhHJkY42nWcmBnnRPIUGSsDwLpl\njYQDQcJGkBpPtVPlSZ7auyvIk88nZr4WEbGbrcE7OjlKoquVqBmnvfckaSsNQKN3NeFAkCZ/kLpy\nn50lSYFpbPBqlCsijsp68I5NjtHS3UbUjNPWc4LJ6bBdXbWCcCBE2AhRX16b7TJERESWhKwE73g6\nxbHuVmJmguM97UxkJgFYWbWcJn+QSCCIUeHPxqFFRESWtEUN3t9ciPGrU7/lWHcbE5kJABoqA0SM\nqWu2DZWBxTyciIhIzlnU4P0fr/wQAKOinogxdRp5RVXDYh5CREQkpy1q8O7e/p9ZV7aelVXLcblc\ni/nUIiIieWFRg/eTW/8TXV2Di/mUIiIiecXtdAEiIiKFRMErIiJiIwWviIiIjRS8IiIiNlLwioiI\n2EjBKyIiYiPbNkk4cLiZtum9ULes9bF/d5NdhxYREVkybBnxHjjcTGtHEguwgNaOJPsOHeHcJd3z\nKyIihcWW4H1rpHu55OD4zL6oIiIihULXeEVERGxkS/BuWfvuze19Xg97dwXtOLyIiMiSYUvw7t/d\nhM/rmfne5/Vw8NGdNDZ47Ti8iIjIkjGv4I3H4+zZs2dBB9q7K4jP69FIV0RECto13070wx/+kH/6\np3+isrJyQQdqbPBy8NGdC/pbERGRfHHNI97GxkaeeuopLMvKZj0iIiJ57ZpHvB/72Md4/fXX53yc\n36/rttmmHttDfc4+9Tj71OOlZ9FXrurq0qIY2eT3e9VjG6jP2aceZ596bI/5frjRfbwiIiI2mnfw\nulyubNQhIiJSEOYVvKtWreLw4cPZqkVERCTv6VSziIiIjRS8IiIiNlLwioiI2GjRbycSKQQHDjfP\nbHe5Za2P/bubHK5IRHKFRrwi83TgcDOtHUkswAJaO5LsO3SEc5d0v6SIzE3BKzJPb410L5ccHOfJ\n5xMOVCMiuUbBKyIiYiMFr8g8bVnre9fPtN2liFwrBa/IPO3f3YTP65n53uf1cPDRnTQ2aDF6EZmb\ngldkAfbuCuLzejTSFZF50+1EIgvQ2ODl4KM7nS5DRHKQRrwiIiI2UvCKiIjYSMErIiJiIwWviIiI\njRS8IiIiNlLwioiI2EjBKyIiYiMFr4iIiI0UvCIiIjZS8IqIiNhIwSsiImIjBa+IiIiNFLwiIiI2\nUvCKiIjYSMErIiJiIwWviIiIjRS8IiIiNlLwioiI2EjBKyIiYqPiuR6QyWT42te+xmuvvUZJSQnf\n/OY3WbNmjR21iYiI5J05R7z/+q//ysTEBIcPH2b//v18+9vftqMuERGRvDRn8MZiMT74wQ8CEAqF\nOHbsWNaLEhERyVdzBu/Q0BBVVVUz3xcVFZHJZLJalIiISL6a8xpvVVUVw8PDM99nMhnc7qvntd/v\nXZzK5KrUY3uoz9mnHmeferz0zDniDYfD/Pu//zsAR48eZdOmTVkvSkREJF+5LMuyZnuAZVl87Wtf\n48SJEwB861vfYt26dbYUJyIikm/mDF4RERFZPFpAQ0RExEYKXhERERspeEVERGyk4BUREbHRgoI3\nk8nw+OOPs3v3bvbs2cP58+ev+P3LL7/Mvffey+7du/npT3+6KIUWmrl6/OKLL3L//ffzqU99iiee\neALNkZu/uXr8lq9+9ascPHjQ5uryw1w9TiQSPPjgg3z605/mC1/4AqlUyqFKc9tcff7lL3/Jrl27\nuPfee3nuueccqjL3xeNx9uzZ866fzzvzrAV46aWXrMcee8yyLMs6evSo9cgjj8z8LpVKWR/96Eet\ngYEBK5VKWbt27bK6u7sXcpiCNluPR0dHrTvvvNMaGxuzLMuyvvjFL1r/9m//5kiduWy2Hr/lueee\nsx544AHr4MGDdpeXF2brcSaTsX7/93/fOn/+vGVZlvWTn/zEOn36tCN15rq5Xst33HGH1d/ff8X7\ns8zP3/7t31p333239cADD1zx84Vk3oJGvLOt33z69GnWrFmD1+ulpKSESCTCq6++upDDFLTZeuzx\nePjJT36Cx+MBYHJykrKyMkfqzGVzrUMei8VIJBI88MADOqOwQLP1+OzZs9TU1PCjH/2IPXv2MDAw\nwPr1650qNafN9VouKSlhYGCA8fFxLMvC5XI5UWZOa2xs5KmnnnrXe8FCMm9BwTvb+s1DQ0N4vW8v\nUVZZWcng4OBCDlPQZuuxy+WitrYWgGeffZbR0VFuv/12R+rMZbP12DRNDh06xOOPP67QfR9m63Ey\nmaS5uZmHHnqIH/3oR/z617/mN7/5jVOl5rS51tT/7Gc/y65du7j77ru54447rnisXJuPfexjFBUV\nvevnC8m8BQXvbOs3e73eK343PDxMdXX1Qg5T0OZaIzuTyfBXf/VX/PrXv+Z73/ueEyXmvNl6/NJL\nL5FMJvnc5z7HD3/4Q1588UV+/vOfO1VqzpqtxzU1NaxZs4b169dTXFzMBz/4Qe1+tkCz9fnixYv8\nwz/8Ay+//DIvv/wyPT09/OIXv3Cq1LyzkMxbUPDOtn7z+vXrOXfuHP39/aRSKV599VV27NixkMMU\ntLnWyH788cdJpVIcOnRo5pSzzM9sPd6zZw8vvPACzz77LH/4h3/I3XffzSc+8QmnSs1Zs/V49erV\njIyMzEwEikajbNy40ZE6c91sfR4fH8ftdlNaWorb7aa2tlZnIRfRQjJvzt2J3stHP/pRjhw5wu7d\nu4Gp9ZtffPFFRkZGuP/++3nsscd4+OGHyWQy3HvvvRiGsZDDFLTZerxt2zaef/55brzxRj7zmc8A\n8Ad/8AfceeedTpacc+Z6HV9O18QWZq4ef/Ob32Tfvn1YlkU4HObDH/6wwxXnprn6fM8997B79248\nHg+NjY3cc889Dlecu956L3g/mae1mkVERGykBTRERERspOAVERGxkYJXRETERgpeERERGyl4RURE\nbKTgFRERsZGCV0RExEb/H7fzoLCx7QE1AAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "model = LinearRegression()\n",
+ "model.fit(X, y)\n",
+ "\n",
+ "# Plot the data and the model prediction\n",
+ "X_fit = np.linspace(0, 1, 100)[:, np.newaxis]\n",
+ "y_fit = model.predict(X_fit)\n",
+ "\n",
+ "plt.plot(X.squeeze(), y, 'o')\n",
+ "plt.plot(X_fit.squeeze(), y_fit);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Scikit-learn also has some more sophisticated models, which can respond to finer features in the data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Fit a Random Forest\n",
+ "from sklearn.ensemble import RandomForestRegressor\n",
+ "model = RandomForestRegressor()\n",
+ "model.fit(X, y)\n",
+ "\n",
+ "# Plot the data and the model prediction\n",
+ "X_fit = np.linspace(0, 1, 100)[:, np.newaxis]\n",
+ "y_fit = model.predict(X_fit)\n",
+ "\n",
+ "plt.plot(X.squeeze(), y, 'o')\n",
+ "plt.plot(X_fit.squeeze(), y_fit);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Whether either of these is a \"good\" fit or not depends on a number of things; we'll discuss details of how to choose a model later in the tutorial."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "---\n",
+ "\n",
+ "#### Exercise\n",
+ "\n",
+ "Explore the ``RandomForestRegressor`` object using IPython's help features (i.e. put a question mark after the object).\n",
+ "What arguments are available to ``RandomForestRegressor``?\n",
+ "How does the above plot change if you change these arguments?\n",
+ "\n",
+ "These class-level arguments are known as *hyperparameters*, and we will discuss later how you to select hyperparameters in the model validation section.\n",
+ "\n",
+ "---"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Unsupervised Learning: Dimensionality Reduction and Clustering\n",
+ "\n",
+ "**Unsupervised Learning** addresses a different sort of problem. Here the data has no labels,\n",
+ "and we are interested in finding similarities between the objects in question. In a sense,\n",
+ "you can think of unsupervised learning as a means of discovering labels from the data itself.\n",
+ "Unsupervised learning comprises tasks such as *dimensionality reduction*, *clustering*, and\n",
+ "*density estimation*. For example, in the iris data discussed above, we can used unsupervised\n",
+ "methods to determine combinations of the measurements which best display the structure of the\n",
+ "data. As we'll see below, such a projection of the data can be used to visualize the\n",
+ "four-dimensional dataset in two dimensions. Some more involved unsupervised learning problems are:\n",
+ "\n",
+ "- given detailed observations of distant galaxies, determine which features or combinations of\n",
+ " features best summarize the information.\n",
+ "- given a mixture of two sound sources (for example, a person talking over some music),\n",
+ " separate the two (this is called the [blind source separation](http://en.wikipedia.org/wiki/Blind_signal_separation) problem).\n",
+ "- given a video, isolate a moving object and categorize in relation to other moving objects which have been seen.\n",
+ "\n",
+ "Sometimes the two may even be combined: e.g. Unsupervised learning can be used to find useful\n",
+ "features in heterogeneous data, and then these features can be used within a supervised\n",
+ "framework."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Dimensionality Reduction: PCA\n",
+ "\n",
+ "Principle Component Analysis (PCA) is a dimension reduction technique that can find the combinations of variables that explain the most variance.\n",
+ "\n",
+ "Consider the iris dataset. It cannot be visualized in a single 2D plot, as it has 4 features. We are going to extract 2 combinations of sepal and petal dimensions to visualize it:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Reduced dataset shape: (150, 2)\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Loading and visualizing the digits data\n",
- "\n",
- "We'll use scikit-learn's data access interface and take a look at this data:"
+ }
+ ],
+ "source": [
+ "X, y = iris.data, iris.target\n",
+ "\n",
+ "from sklearn.decomposition import PCA\n",
+ "pca = PCA(n_components=0.95)\n",
+ "pca.fit(X)\n",
+ "X_reduced = pca.transform(X)\n",
+ "print(\"Reduced dataset shape:\", X_reduced.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Meaning of the 2 components:\n",
+ "0.362 x sepal length (cm) + -0.082 x sepal width (cm) + 0.857 x petal length (cm) + 0.359 x petal width (cm)\n",
+ "-0.657 x sepal length (cm) + -0.730 x sepal width (cm) + 0.176 x petal length (cm) + 0.075 x petal width (cm)\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn import datasets\n",
- "digits = datasets.load_digits()\n",
- "digits.images.shape"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 25,
- "text": [
- "(1797, 8, 8)"
- ]
- }
- ],
- "prompt_number": 25
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's plot a few of these:"
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "fig, axes = plt.subplots(10, 10, figsize=(8, 8))\n",
- "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
- "\n",
- "for i, ax in enumerate(axes.flat):\n",
- " ax.imshow(digits.images[i], cmap='binary', interpolation='nearest')\n",
- " ax.text(0.05, 0.05, str(digits.target[i]),\n",
- " transform=ax.transAxes, color='green')\n",
- " ax.set_xticks([])\n",
- " ax.set_yticks([])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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D8NX74PF48PKdL+N7l3zP7bC0fN38Na7/zfX48IEPkZ6W7nY4YY1eNhq9knsB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\nASkdc6TjY9aoWfj02KcYWzIWmVdkIj0tHX1T+oZ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- "prompt_number": 26
- },
- {
- "cell_type": "markdown",
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x4wnoy0y0bTPihlWmqiM8vAXh4S0ASE9PIyFhJRMndcVgMDB37mxGPDATBweH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\nOD0D71+VCPXKLSHtYnKVk7Q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TNFBHfn4xEyf1Z/HieKKiKp4jd+jQk717t5Bw4iSlZUY6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\n/VizZo1Vfk+ZTCYsXboULi4uoqNYzGg0AgCys7Nb9XgpjqR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+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "Here the data is simply each pixel value within an 8x8 grid:"
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import pylab as plt\n",
+ "plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y,\n",
+ " cmap='RdYlBu')\n",
+ "\n",
+ "print(\"Meaning of the 2 components:\")\n",
+ "for component in pca.components_:\n",
+ " print(\" + \".join(\"%.3f x %s\" % (value, name)\n",
+ " for value, name in zip(component,\n",
+ " iris.feature_names)))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Clustering: K-means\n",
+ "\n",
+ "Clustering groups together observations that are homogeneous with respect to a given criterion, finding ''clusters'' in the data.\n",
+ "\n",
+ "Note that these clusters will uncover relevent hidden structure of the data only if the criterion used highlights it."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# The images themselves\n",
- "print(digits.images.shape)\n",
- "print(digits.images[0])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(1797, 8, 8)\n",
- "[[ 0. 0. 5. 13. 9. 1. 0. 0.]\n",
- " [ 0. 0. 13. 15. 10. 15. 5. 0.]\n",
- " [ 0. 3. 15. 2. 0. 11. 8. 0.]\n",
- " [ 0. 4. 12. 0. 0. 8. 8. 0.]\n",
- " [ 0. 5. 8. 0. 0. 9. 8. 0.]\n",
- " [ 0. 4. 11. 0. 1. 12. 7. 0.]\n",
- " [ 0. 2. 14. 5. 10. 12. 0. 0.]\n",
- " [ 0. 0. 6. 13. 10. 0. 0. 0.]]\n"
- ]
- }
- ],
- "prompt_number": 27
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# The data for use in our algorithms\n",
- "print(digits.data.shape)\n",
- "print(digits.data[0])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(1797, 64)\n",
- "[ 0. 0. 5. 13. 9. 1. 0. 0. 0. 0. 13. 15. 10. 15. 5.\n",
- " 0. 0. 3. 15. 2. 0. 11. 8. 0. 0. 4. 12. 0. 0. 8.\n",
- " 8. 0. 0. 5. 8. 0. 0. 9. 8. 0. 0. 4. 11. 0. 1.\n",
- " 12. 7. 0. 0. 2. 14. 5. 10. 12. 0. 0. 0. 0. 6. 13.\n",
- " 10. 0. 0. 0.]\n"
- ]
- }
- ],
- "prompt_number": 28
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# The target label\n",
- "print(digits.target)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[0 1 2 ..., 8 9 8]\n"
- ]
- }
- ],
- "prompt_number": 29
- },
- {
- "cell_type": "markdown",
+ "data": {
+ "image/png": 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PGAzFq0RmTeeiT/P7fz6A5FTsm9VjzNS3brtqfRDLl//BitU3UTSWWvuff7md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\nY7tH+pKTmUnc+q2o9raMeGUKBoOhxGJ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slJ/5FvdOnvazV7siIiJ1YkkLwsvLC0FBMXjz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\nSsfqtE8++QQeHh548803sX//frzwwgtu+T3lcDiwZs0a+Pr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+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "So our data have 1797 samples in 64 dimensions."
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "k_means = KMeans(n_clusters=3, random_state=0) # Fixing the RNG in kmeans\n",
+ "k_means.fit(X)\n",
+ "y_pred = k_means.predict(X)\n",
+ "\n",
+ "plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=y_pred,\n",
+ " cmap='RdYlBu');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Recap: Scikit-learn's estimator interface\n",
+ "\n",
+ "Scikit-learn strives to have a uniform interface across all methods,\n",
+ "and we'll see examples of these below. Given a scikit-learn *estimator*\n",
+ "object named `model`, the following methods are available:\n",
+ "\n",
+ "- Available in **all Estimators**\n",
+ " + `model.fit()` : fit training data. For supervised learning applications,\n",
+ " this accepts two arguments: the data `X` and the labels `y` (e.g. `model.fit(X, y)`).\n",
+ " For unsupervised learning applications, this accepts only a single argument,\n",
+ " the data `X` (e.g. `model.fit(X)`).\n",
+ "- Available in **supervised estimators**\n",
+ " + `model.predict()` : given a trained model, predict the label of a new set of data.\n",
+ " This method accepts one argument, the new data `X_new` (e.g. `model.predict(X_new)`),\n",
+ " and returns the learned label for each object in the array.\n",
+ " + `model.predict_proba()` : For classification problems, some estimators also provide\n",
+ " this method, which returns the probability that a new observation has each categorical label.\n",
+ " In this case, the label with the highest probability is returned by `model.predict()`.\n",
+ " + `model.score()` : for classification or regression problems, most (all?) estimators implement\n",
+ " a score method. Scores are between 0 and 1, with a larger score indicating a better fit.\n",
+ "- Available in **unsupervised estimators**\n",
+ " + `model.predict()` : predict labels in clustering algorithms.\n",
+ " + `model.transform()` : given an unsupervised model, transform new data into the new basis.\n",
+ " This also accepts one argument `X_new`, and returns the new representation of the data based\n",
+ " on the unsupervised model.\n",
+ " + `model.fit_transform()` : some estimators implement this method,\n",
+ " which more efficiently performs a fit and a transform on the same input data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Model Validation\n",
+ "\n",
+ "An important piece of machine learning is **model validation**: that is, determining how well your model will generalize from the training data to future unlabeled data. Let's look at an example using the *nearest neighbor classifier*. This is a very simple classifier: it simply stores all training data, and for any unknown quantity, simply returns the label of the closest training point.\n",
+ "\n",
+ "With the iris data, it very easily returns the correct prediction for each of the input points:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "True\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Unsupervised Learning: Dimensionality Reduction\n",
- "\n",
- "We'd like to visualize our points within the 64-dimensional parameter space, but it's difficult to plot points in 64 dimensions!\n",
- "Instead we'll reduce the dimensions to 2, using an unsupervised method.\n",
- "Here, we'll make use of a manifold learning algorithm called *Isomap*, and transform the data to two dimensions."
+ }
+ ],
+ "source": [
+ "from sklearn.neighbors import KNeighborsClassifier\n",
+ "X, y = iris.data, iris.target\n",
+ "clf = KNeighborsClassifier(n_neighbors=1)\n",
+ "clf.fit(X, y)\n",
+ "y_pred = clf.predict(X)\n",
+ "print(np.all(y == y_pred))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "A more useful way to look at the results is to view the **confusion matrix**, or the matrix showing the frequency of inputs and outputs:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[50 0 0]\n",
+ " [ 0 50 0]\n",
+ " [ 0 0 50]]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.manifold import Isomap"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 30
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "iso = Isomap(n_components=2)\n",
- "data_projected = iso.fit_transform(digits.data)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 31
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "data_projected.shape"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 32,
- "text": [
- "(1797, 2)"
- ]
- }
- ],
- "prompt_number": 32
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.scatter(data_projected[:, 0], data_projected[:, 1], c=digits.target,\n",
- " edgecolor='none', alpha=0.5, cmap=plt.cm.get_cmap('nipy_spectral', 10));\n",
- "plt.colorbar(label='digit label', ticks=range(10))\n",
- "plt.clim(-0.5, 9.5)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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2m3InhHF+tn7SNWuQrEmlIdTv+L69F97by3V9l/PawIj72VhKAX29WCzeVyqVngI+Cvwc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\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 33
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We see here that the digits are fairly well-separated in the parameter space; this tells us that a supervised classification algorithm should perform fairly well. Let's give it a try."
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import confusion_matrix\n",
+ "print(confusion_matrix(y, y_pred))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For each class, all 50 training samples are correctly identified. But this **does not mean that our model is perfect!** In particular, such a model generalizes extremely poorly to new data. We can simulate this by splitting our data into a *training set* and a *testing set*. Scikit-learn contains some convenient routines to do this:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[12 0 0]\n",
+ " [ 0 6 0]\n",
+ " [ 0 2 18]]\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Classification on Digits\n",
- "\n",
- "Let's try a classification task on the digits. The first thing we'll want to do is split the digits into a training and testing sample:"
+ }
+ ],
+ "source": [
+ "from sklearn.cross_validation import train_test_split\n",
+ "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y)\n",
+ "clf.fit(Xtrain, ytrain)\n",
+ "ypred = clf.predict(Xtest)\n",
+ "print(confusion_matrix(ytest, ypred))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This paints a better picture of the true performance of our classifier: apparently there is some confusion between the second and third species, which we might anticipate given what we've seen of the data above.\n",
+ "\n",
+ "This is why it's **extremely important** to use a train/test split when evaluating your models. We'll go into more depth on model evaluation later in this tutorial."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Flow Chart: How to Choose your Estimator\n",
+ "\n",
+ "This is a flow chart created by scikit-learn super-contributor [Andreas Mueller](https://github.com/amueller) which gives a nice summary of which algorithms to choose in various situations. Keep it around as a handy reference!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 44,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from IPython.display import Image\n",
+ "Image(\"http://scikit-learn.org/dev/_static/ml_map.png\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Original source on the [scikit-learn website](http://scikit-learn.org/stable/tutorial/machine_learning_map/)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Quick Application: Optical Character Recognition"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To demonstrate the above principles on a more interesting problem, let's consider OCR (Optical Character Recognition) – that is, recognizing hand-written digits.\n",
+ "In the wild, this problem involves both locating and identifying characters in an image. Here we'll take a shortcut and use scikit-learn's set of pre-formatted digits, which is built-in to the library."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Loading and visualizing the digits data\n",
+ "\n",
+ "We'll use scikit-learn's data access interface and take a look at this data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(1797, 8, 8)"
+ ]
+ },
+ "execution_count": 29,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn import datasets\n",
+ "digits = datasets.load_digits()\n",
+ "digits.images.shape"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's plot a few of these:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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s2F2B1rZWVOdXY+uhrZi7Zi4q7tH7utWUos1FWLFrBbp36W46FG1v/OUN9O3a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\nJ+Cv34w+AAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, axes = plt.subplots(10, 10, figsize=(8, 8))\n",
+ "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
+ "\n",
+ "for i, ax in enumerate(axes.flat):\n",
+ " ax.imshow(digits.images[i], cmap='binary', interpolation='nearest')\n",
+ " ax.text(0.05, 0.05, str(digits.target[i]),\n",
+ " transform=ax.transAxes, color='green')\n",
+ " ax.set_xticks([])\n",
+ " ax.set_yticks([])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here the data is simply each pixel value within an 8x8 grid:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1797, 8, 8)\n",
+ "[[ 0. 0. 5. 13. 9. 1. 0. 0.]\n",
+ " [ 0. 0. 13. 15. 10. 15. 5. 0.]\n",
+ " [ 0. 3. 15. 2. 0. 11. 8. 0.]\n",
+ " [ 0. 4. 12. 0. 0. 8. 8. 0.]\n",
+ " [ 0. 5. 8. 0. 0. 9. 8. 0.]\n",
+ " [ 0. 4. 11. 0. 1. 12. 7. 0.]\n",
+ " [ 0. 2. 14. 5. 10. 12. 0. 0.]\n",
+ " [ 0. 0. 6. 13. 10. 0. 0. 0.]]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cross_validation import train_test_split\n",
- "Xtrain, Xtest, ytrain, ytest = train_test_split(digits.data, digits.target,\n",
- " random_state=2)\n",
- "print(Xtrain.shape, Xtest.shape)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(1347, 64) (450, 64)\n"
- ]
- }
- ],
- "prompt_number": 34
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's use a simple logistic regression which (despite its confusing name) is a classification algorithm:"
+ }
+ ],
+ "source": [
+ "# The images themselves\n",
+ "print(digits.images.shape)\n",
+ "print(digits.images[0])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1797, 64)\n",
+ "[ 0. 0. 5. 13. 9. 1. 0. 0. 0. 0. 13. 15. 10. 15. 5.\n",
+ " 0. 0. 3. 15. 2. 0. 11. 8. 0. 0. 4. 12. 0. 0. 8.\n",
+ " 8. 0. 0. 5. 8. 0. 0. 9. 8. 0. 0. 4. 11. 0. 1.\n",
+ " 12. 7. 0. 0. 2. 14. 5. 10. 12. 0. 0. 0. 0. 6. 13.\n",
+ " 10. 0. 0. 0.]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.linear_model import LogisticRegression\n",
- "clf = LogisticRegression(penalty='l2')\n",
- "clf.fit(Xtrain, ytrain)\n",
- "ypred = clf.predict(Xtest)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 35
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can check our classification accuracy by comparing the true values of the test set to the predictions:"
+ }
+ ],
+ "source": [
+ "# The data for use in our algorithms\n",
+ "print(digits.data.shape)\n",
+ "print(digits.data[0])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 33,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[0 1 2 ..., 8 9 8]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.metrics import accuracy_score\n",
- "accuracy_score(ytest, ypred)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 36,
- "text": [
- "0.94666666666666666"
- ]
- }
- ],
- "prompt_number": 36
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This single number doesn't tell us **where** we've gone wrong: one nice way to do this is to use the *confusion matrix*"
+ }
+ ],
+ "source": [
+ "# The target label\n",
+ "print(digits.target)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "So our data have 1797 samples in 64 dimensions."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Unsupervised Learning: Dimensionality Reduction\n",
+ "\n",
+ "We'd like to visualize our points within the 64-dimensional parameter space, but it's difficult to plot points in 64 dimensions!\n",
+ "Instead we'll reduce the dimensions to 2, using an unsupervised method.\n",
+ "Here, we'll make use of a manifold learning algorithm called *Isomap*, and transform the data to two dimensions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 34,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.manifold import Isomap"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 35,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "iso = Isomap(n_components=2)\n",
+ "data_projected = iso.fit_transform(digits.data)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(1797, 2)"
+ ]
+ },
+ "execution_count": 36,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "data_projected.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 37,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.4/lib/python3.4/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
+ " if self._edgecolors == str('face'):\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.metrics import confusion_matrix\n",
- "print(confusion_matrix(ytest, ypred))"
- ],
- "language": "python",
+ "data": {
+ "image/png": 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DdZ+52RSXtr5xpu/5/N7C+T2/83luhlMzZUlERzf0LZfL5PN5stkslUql+ftKpUI+n3/D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\nmAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[[42 0 0 0 0 0 0 0 0 0]\n",
- " [ 0 45 0 1 0 0 0 0 3 1]\n",
- " [ 0 0 47 0 0 0 0 0 0 0]\n",
- " [ 0 0 0 42 0 2 0 3 1 0]\n",
- " [ 0 2 0 0 36 0 0 0 1 1]\n",
- " [ 0 0 0 0 0 52 0 0 0 0]\n",
- " [ 0 0 0 0 0 0 42 0 1 0]\n",
- " [ 0 0 0 0 0 0 0 48 1 0]\n",
- " [ 0 2 0 0 0 0 0 0 38 0]\n",
- " [ 0 0 0 1 0 1 0 1 2 34]]\n"
- ]
- }
- ],
- "prompt_number": 37
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.imshow(np.log(confusion_matrix(ytest, ypred)),\n",
- " cmap='Blues', interpolation='nearest')\n",
- "plt.grid(False)\n",
- "plt.ylabel('true')\n",
- "plt.xlabel('predicted');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 38
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We might also take a look at some of the outputs along with their predicted labels. We'll make the bad labels red:"
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(data_projected[:, 0], data_projected[:, 1], c=digits.target,\n",
+ " edgecolor='none', alpha=0.5, cmap=plt.cm.get_cmap('nipy_spectral', 10));\n",
+ "plt.colorbar(label='digit label', ticks=range(10))\n",
+ "plt.clim(-0.5, 9.5)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We see here that the digits are fairly well-separated in the parameter space; this tells us that a supervised classification algorithm should perform fairly well. Let's give it a try."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Classification on Digits\n",
+ "\n",
+ "Let's try a classification task on the digits. The first thing we'll want to do is split the digits into a training and testing sample:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 38,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1347, 64) (450, 64)\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "fig, axes = plt.subplots(10, 10, figsize=(8, 8))\n",
- "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
- "\n",
- "for i, ax in enumerate(axes.flat):\n",
- " ax.imshow(Xtest[i].reshape(8, 8), cmap='binary')\n",
- " ax.text(0.05, 0.05, str(ypred[i]),\n",
- " transform=ax.transAxes,\n",
- " color='green' if (ytest[i] == ypred[i]) else 'red')\n",
- " ax.set_xticks([])\n",
- " ax.set_yticks([])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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zrUy7rGQRoOnKMZEIRAYjWchUnlRs6u0zbcApN6S9z+tRuu5XjbLhcOhpFUbP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\ne+1/fK09838+4+rmAMt4PG7VajXgCdVqNXeQw6wcM3M07GQyGfB+IrfS7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sQAC+DS7Z41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2zKPP2BcWvmBv+9Tb7GP/7GOBEgI2fCwWs2q16kI/eJlhB5IBsgqYbEIuLBCUUq8hxMefftw+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j+/1XwNfqfNPVleXva46m3AZMogXbJ2nJs8GlVYqGxruGIrqdslq1VEFDCrWZg8eHQRa0NV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\ntJml2wGYqrwpCYz3QuHBqUoq1yXvw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- "text": [
- ""
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- }
- ],
- "prompt_number": 39
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The interesting thing is that even with this simple logistic regression algorithm, many of the mislabeled cases are ones that we ourselves might get wrong!\n",
- "\n",
- "There are many ways to improve this classifier, but we're out of time here. To go further, we could use a more sophisticated model, use cross validation, or apply other techniques.\n",
- "We'll cover some of these topics later in the tutorial."
+ }
+ ],
+ "source": [
+ "from sklearn.cross_validation import train_test_split\n",
+ "Xtrain, Xtest, ytrain, ytest = train_test_split(digits.data, digits.target,\n",
+ " random_state=2)\n",
+ "print(Xtrain.shape, Xtest.shape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's use a simple logistic regression which (despite its confusing name) is a classification algorithm:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 39,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.linear_model import LogisticRegression\n",
+ "clf = LogisticRegression(penalty='l2')\n",
+ "clf.fit(Xtrain, ytrain)\n",
+ "ypred = clf.predict(Xtest)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can check our classification accuracy by comparing the true values of the test set to the predictions:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 40,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.94666666666666666"
+ ]
+ },
+ "execution_count": 40,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import accuracy_score\n",
+ "accuracy_score(ytest, ypred)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This single number doesn't tell us **where** we've gone wrong: one nice way to do this is to use the *confusion matrix*"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[42 0 0 0 0 0 0 0 0 0]\n",
+ " [ 0 45 0 1 0 0 0 0 3 1]\n",
+ " [ 0 0 47 0 0 0 0 0 0 0]\n",
+ " [ 0 0 0 42 0 2 0 3 1 0]\n",
+ " [ 0 2 0 0 36 0 0 0 1 1]\n",
+ " [ 0 0 0 0 0 52 0 0 0 0]\n",
+ " [ 0 0 0 0 0 0 42 0 1 0]\n",
+ " [ 0 0 0 0 0 0 0 48 1 0]\n",
+ " [ 0 2 0 0 0 0 0 0 38 0]\n",
+ " [ 0 0 0 1 0 1 0 1 2 34]]\n"
]
}
],
- "metadata": {}
+ "source": [
+ "from sklearn.metrics import confusion_matrix\n",
+ "print(confusion_matrix(ytest, ypred))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.imshow(np.log(confusion_matrix(ytest, ypred)),\n",
+ " cmap='Blues', interpolation='nearest')\n",
+ "plt.grid(False)\n",
+ "plt.ylabel('true')\n",
+ "plt.xlabel('predicted');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We might also take a look at some of the outputs along with their predicted labels. We'll make the bad labels red:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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KDWnv83qUrvtVo2w4HHpahdFz0TpABREaBAQBDh7P5XKm3IHP4CJOqCE47XOp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VoNGMzt7e0OJR1W/AozTTuQ6KioXhEm6/yZxz9j385/237tE79mf/r6P7WF5EJHfg3mYlj83SfQ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\nNS0uLgYwDY1Gw0XGGEwm95DFUkQ1qHbeHxNXFhcXXdZwEIMZdg7Rd0yxajQ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VNDSuuqtG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z/OaauqDdUrdnUWu3IPCxDYBTNYCN7unKL/zyIC4XDYXCxL52rpVGt7Na2/zO/S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\ndqQjHelIRzpSg/w/IsDQmH9EdhoAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, axes = plt.subplots(10, 10, figsize=(8, 8))\n",
+ "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
+ "\n",
+ "for i, ax in enumerate(axes.flat):\n",
+ " ax.imshow(Xtest[i].reshape(8, 8), cmap='binary')\n",
+ " ax.text(0.05, 0.05, str(ypred[i]),\n",
+ " transform=ax.transAxes,\n",
+ " color='green' if (ytest[i] == ypred[i]) else 'red')\n",
+ " ax.set_xticks([])\n",
+ " ax.set_yticks([])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The interesting thing is that even with this simple logistic regression algorithm, many of the mislabeled cases are ones that we ourselves might get wrong!\n",
+ "\n",
+ "There are many ways to improve this classifier, but we're out of time here. To go further, we could use a more sophisticated model, use cross validation, or apply other techniques.\n",
+ "We'll cover some of these topics later in the tutorial."
+ ]
}
- ]
-}
\ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3.4",
+ "language": "",
+ "name": "python3.4"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.4.3"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/03.1-Classification-SVMs.ipynb b/notebooks/03.1-Classification-SVMs.ipynb
index 21897b4..d36d6f9 100644
--- a/notebooks/03.1-Classification-SVMs.ipynb
+++ b/notebooks/03.1-Classification-SVMs.ipynb
@@ -1,486 +1,526 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:b1795241f330b3e257bed287118e3acf8a0ef2aac9c809df9285aa4189471c2a"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Supervised Learning In-Depth: Support Vector Machines"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Previously we introduced supervised machine learning.\n",
- "There are many supervised learning algorithms available; here we'll go into brief detail one of the most powerful and interesting methods: **Support Vector Machines (SVMs)**."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "from scipy import stats\n",
- "\n",
- "# use seaborn plotting defaults\n",
- "import seaborn as sns; sns.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Motivating Support Vector Machines"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Support Vector Machines (SVMs) are a powerful supervised learning algorithm used for **classification** or for **regression**. SVMs are a **discriminative** classifier: that is, they draw a boundary between clusters of data.\n",
- "\n",
- "Let's show a quick example of support vector classification. First we need to create a dataset:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets.samples_generator import make_blobs\n",
- "X, y = make_blobs(n_samples=50, centers=2,\n",
- " random_state=0, cluster_std=0.60)\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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C0sPIbJZFnUej6TRGr2+L/1AZB7hlv1/EA2/2pb6jfvHYynUrOfKWg+aJhoXJqpaje46Q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\n3ozvsZ49v89HHy3nsce+LF4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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "A discriminative classifier attempts to draw a line between the two sets of data. Immediately we see a problem: such a line is ill-posed! For example, we could come up with several possibilities which perfectly discriminate between the classes in this example:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "xfit = np.linspace(-1, 3.5)\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- "\n",
- "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
- " plt.plot(xfit, m * xfit + b, '-k')\n",
- "\n",
- "plt.xlim(-1, 3.5);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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iIeEkSUkJnD17msOHDzX7OSQZi3bj7OzMhEWT1Q5DCIvg7OzM3L8vIj8vH92V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\nvHkL3nprPjNmzKRxY/tfClAI8WS6dOlLly4y21w8TIqxDRQ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QQhhMirEQQghhsP8P0FcR\nCdwEGf8AAAAASUVORK5CYII=\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "These are three *very* different separaters which perfectly discriminate between these samples. Depending on which you choose, a new data point will be classified almost entirely differently!\n",
- "\n",
- "How can we improve on this?"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Support Vector Machines: Maximizing the *Margin*\n",
- "\n",
- "Support vector machines are one way to address this.\n",
- "What support vector machined do is to not only draw a line, but consider a *region* about the line of some given width. Here's an example of what it might look like:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "xfit = np.linspace(-1, 3.5)\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- "\n",
- "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
- " yfit = m * xfit + b\n",
- " plt.plot(xfit, yfit, '-k')\n",
- " plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none', color='#AAAAAA', alpha=0.4)\n",
- "\n",
- "plt.xlim(-1, 3.5);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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mi1uwgCAiAcPYoNfrYTKFPh7McZzXalb8cRlcuvQZKisPoqGhHgAwe/ZsVFS8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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Notice here that if we want to maximize this width, the middle fit is clearly the best.\n",
- "This is the intuition of **support vector machines**, which optimize a linear discriminant model in conjunction with a **margin** representing the perpendicular distance between the datasets."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "#### Fitting a Support Vector Machine\n",
- "\n",
- "Now we'll fit a Support Vector Machine Classifier to these points. While the mathematical details of the likelihood model are interesting, we'll let you read about those elsewhere. Instead, we'll just treat the scikit-learn algorithm as a black box which accomplishes the above task."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.svm import SVC # \"Support Vector Classifier\"\n",
- "clf = SVC(kernel='linear')\n",
- "clf.fit(X, y)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 5,
- "text": [
- "SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0, degree=3, gamma=0.0,\n",
- " kernel='linear', max_iter=-1, probability=False, random_state=None,\n",
- " shrinking=True, tol=0.001, verbose=False)"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "To better visualize what's happening here, let's create a quick convenience function that will plot SVM decision boundaries for us:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "def plot_svc_decision_function(clf, ax=None):\n",
- " \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
- " if ax is None:\n",
- " ax = plt.gca()\n",
- " x = np.linspace(plt.xlim()[0], plt.xlim()[1], 30)\n",
- " y = np.linspace(plt.ylim()[0], plt.ylim()[1], 30)\n",
- " Y, X = np.meshgrid(y, x)\n",
- " P = np.zeros_like(X)\n",
- " for i, xi in enumerate(x):\n",
- " for j, yj in enumerate(y):\n",
- " P[i, j] = clf.decision_function([xi, yj])\n",
- " # plot the margins\n",
- " ax.contour(X, Y, P, colors='k',\n",
- " levels=[-1, 0, 1], alpha=0.5,\n",
- " linestyles=['--', '-', '--'])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 6
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- "plot_svc_decision_function(clf);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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YZKUpSrFoNBpMmjRF1k7UkjDhEoWI6tIUi8WimLS2bNmIsrIy38Lw1Qn0W9/6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\nD1JTPb62TZvS0bHjCmRl9W/Ue5aXl2P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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Notice that the dashed lines touch a couple of the points: these points are the pivotal pieces of this fit, and are known as the *support vectors* (giving the algorithm its name).\n",
- "In scikit-learn, these are stored in the ``support_vectors_`` attribute of the classifier:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- "plot_svc_decision_function(clf)\n",
- "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
- " s=200, facecolors='none');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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Nt9uluVKQ0+nkL3/5o6rdYDBoJlyz2UzXrt2wWCz+khSTyYTFop30TCYTL7zw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\nCJOZ2ZvMzP8v3GGICCMPFIQQjaLTdcXh0D7mdHY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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's use IPython's ``interact`` functionality to explore how the distribution of points affects the support vectors and the discriminative fit.\n",
- "(This is only available in IPython 2.0+, and will not work in a static view)"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from IPython.html.widgets import interact\n",
- "\n",
- "def plot_svm(N=10):\n",
- " X, y = make_blobs(n_samples=200, centers=2,\n",
- " random_state=0, cluster_std=0.60)\n",
- " X = X[:N]\n",
- " y = y[:N]\n",
- " clf = SVC(kernel='linear')\n",
- " clf.fit(X, y)\n",
- " plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- " plt.xlim(-1, 4)\n",
- " plt.ylim(-1, 6)\n",
- " plot_svc_decision_function(clf, plt.gca())\n",
- " plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
- " s=200, facecolors='none')\n",
- " \n",
- "interact(plot_svm, N=[10, 200], kernel='linear');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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kJBoaGsnMzNww7t26kYWIN5ZlMTo6gmmeR2vNwsI8ABkZmRw+3IFSBtXVNRK4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\n73O5TuFynWJycpKkJAcuV+G+We5uYOA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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Notice the unique thing about SVM is that only the support vectors matter: that is, if you moved any of the other points without letting them cross the decision boundaries, they would have no effect on the classification results!"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "#### Going further: Kernel Methods\n",
- "\n",
- "Where SVM gets incredibly exciting is when it is used in conjunction with *kernels*.\n",
- "To motivate the need for kernels, let's look at some data which is not linearly separable:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets.samples_generator import make_circles\n",
- "X, y = make_circles(100, factor=.1, noise=.1)\n",
- "\n",
- "clf = SVC(kernel='linear').fit(X, y)\n",
- "\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- "plot_svc_decision_function(clf);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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Msibt+Tb57PvPdCa+2fxlHjtCf5iT9MdD1tYXNTU1rFu3llu3bhIePoQpU6Lb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\nRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Clearly, no linear discrimination will ever separate these data.\n",
- "One way we can adjust this is to apply a **kernel**, which is some functional transformation of the input data.\n",
- "\n",
- "For example, one simple model we could use is a **radial basis function**"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "r = np.exp(-(X[:, 0] ** 2 + X[:, 1] ** 2))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 11
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "If we plot this along with our data, we can see the effect of it:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from mpl_toolkits import mplot3d\n",
- "\n",
- "def plot_3D(elev=30, azim=30):\n",
- " ax = plt.subplot(projection='3d')\n",
- " ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='spring')\n",
- " ax.view_init(elev=elev, azim=azim)\n",
- " ax.set_xlabel('x')\n",
- " ax.set_ylabel('y')\n",
- " ax.set_zlabel('r')\n",
- "\n",
- "interact(plot_3D, elev=[-90, 90], azip=(-180, 180));"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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NbzyljnxNrs1Lw3qd1+vF4OAKAIZI0IBVUnxq4EfmHpC55fJlGoNdR1Md0Gbt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\nBAAAAABJRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can see that with this additional dimension, the data becomes trivially linearly separable!\n",
- "This is a relatively simple kernel; SVM has a more sophisticated version of this kernel built-in to the process. This is accomplished by using ``kernel='rbf'``, short for *radial basis function*:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "clf = SVC(kernel='rbf')\n",
- "clf.fit(X, y)\n",
- "\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
- "plot_svc_decision_function(clf)\n",
- "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
- " s=200, facecolors='none');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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K1ej1ei5dqmT37h2sXr1OpPIchR7269ZaQKlWq2eqVKrpwKu3jt02CXhOrVYX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\nXy/j+PGTfP75p6xfvxGpdPZUN01gEmhoqOfMmVN0dXVhZ2fH6tVrp0Q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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here there are effectively $N$ basis functions: one centered at each point! Through a clever mathematical trick, this computation proceeds very efficiently using the \"Kernel Trick\", without actually constructing the matrix of kernel evaluations.\n",
- "\n",
- "We'll leave SVMs for the time being and take a look at another classification algorithm: Random Forests."
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Supervised Learning In-Depth: Support Vector Machines"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Previously we introduced supervised machine learning.\n",
+ "There are many supervised learning algorithms available; here we'll go into brief detail one of the most powerful and interesting methods: **Support Vector Machines (SVMs)**."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
}
],
- "metadata": {}
+ "source": [
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy import stats\n",
+ "\n",
+ "# use seaborn plotting defaults\n",
+ "import seaborn as sns; sns.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Motivating Support Vector Machines"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Support Vector Machines (SVMs) are a powerful supervised learning algorithm used for **classification** or for **regression**. SVMs are a **discriminative** classifier: that is, they draw a boundary between clusters of data.\n",
+ "\n",
+ "Let's show a quick example of support vector classification. First we need to create a dataset:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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L6PV63H7rF0y+OKlirH1pe7Td1BZLP1qJ+Pdsc/Th6MrDuL8oF26XXVHqXQrdQAMGvzkU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\nQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets.samples_generator import make_blobs\n",
+ "X, y = make_blobs(n_samples=50, centers=2,\n",
+ " random_state=0, cluster_std=0.60)\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "A discriminative classifier attempts to draw a line between the two sets of data. Immediately we see a problem: such a line is ill-posed! For example, we could come up with several possibilities which perfectly discriminate between the classes in this example:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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z8zN3eG2SJGbRqrr06krn3V0481Mq8RdO039cKM90GWTusIQwm/AZUZz401HS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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "xfit = np.linspace(-1, 3.5)\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ "\n",
+ "for m, b in [(1, 0.65), (0.5, 1.6), (-0.2, 2.9)]:\n",
+ " plt.plot(xfit, m * xfit + b, '-k')\n",
+ "\n",
+ "plt.xlim(-1, 3.5);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "These are three *very* different separaters which perfectly discriminate between these samples. Depending on which you choose, a new data point will be classified almost entirely differently!\n",
+ "\n",
+ "How can we improve on this?"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Support Vector Machines: Maximizing the *Margin*\n",
+ "\n",
+ "Support vector machines are one way to address this.\n",
+ "What support vector machined do is to not only draw a line, but consider a *region* about the line of some given width. Here's an example of what it might look like:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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XIDs7B4CQQyGGG10qlUKlUkGpVAfVTTkJMzFqyFyWjasxV/FM9zP99unS9STK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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "xfit = np.linspace(-1, 3.5)\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ "\n",
+ "for m, b, d in [(1, 0.65, 0.33), (0.5, 1.6, 0.55), (-0.2, 2.9, 0.2)]:\n",
+ " yfit = m * xfit + b\n",
+ " plt.plot(xfit, yfit, '-k')\n",
+ " plt.fill_between(xfit, yfit - d, yfit + d, edgecolor='none', color='#AAAAAA', alpha=0.4)\n",
+ "\n",
+ "plt.xlim(-1, 3.5);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Notice here that if we want to maximize this width, the middle fit is clearly the best.\n",
+ "This is the intuition of **support vector machines**, which optimize a linear discriminant model in conjunction with a **margin** representing the perpendicular distance between the datasets."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Fitting a Support Vector Machine\n",
+ "\n",
+ "Now we'll fit a Support Vector Machine Classifier to these points. While the mathematical details of the likelihood model are interesting, we'll let you read about those elsewhere. Instead, we'll just treat the scikit-learn algorithm as a black box which accomplishes the above task."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "SVC(C=1.0, cache_size=200, class_weight=None, coef0=0.0,\n",
+ " decision_function_shape=None, degree=3, gamma='auto', kernel='linear',\n",
+ " max_iter=-1, probability=False, random_state=None, shrinking=True,\n",
+ " tol=0.001, verbose=False)"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.svm import SVC # \"Support Vector Classifier\"\n",
+ "clf = SVC(kernel='linear')\n",
+ "clf.fit(X, y)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To better visualize what's happening here, let's create a quick convenience function that will plot SVM decision boundaries for us:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def plot_svc_decision_function(clf, ax=None):\n",
+ " \"\"\"Plot the decision function for a 2D SVC\"\"\"\n",
+ " if ax is None:\n",
+ " ax = plt.gca()\n",
+ " x = np.linspace(plt.xlim()[0], plt.xlim()[1], 30)\n",
+ " y = np.linspace(plt.ylim()[0], plt.ylim()[1], 30)\n",
+ " Y, X = np.meshgrid(y, x)\n",
+ " P = np.zeros_like(X)\n",
+ " for i, xi in enumerate(x):\n",
+ " for j, yj in enumerate(y):\n",
+ " P[i, j] = clf.decision_function([[xi, yj]])\n",
+ " # plot the margins\n",
+ " ax.contour(X, Y, P, colors='k',\n",
+ " levels=[-1, 0, 1], alpha=0.5,\n",
+ " linestyles=['--', '-', '--'])"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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hiPwMky9REyG1HB9QtQhDfn6+aEWjAQMGISOjk+j8U6dOIjf3qKi9des2ksk3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\n+wGxKljfpVKZ6AAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ "plot_svc_decision_function(clf);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Notice that the dashed lines touch a couple of the points: these points are the pivotal pieces of this fit, and are known as the *support vectors* (giving the algorithm its name).\n",
+ "In scikit-learn, these are stored in the ``support_vectors_`` attribute of the classifier:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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9jyYjsSERBZEXUD71Hqa8w17AQ6lU4sQXxyAo5cEQbMTAZ4cgKi7aDVET4j1otjNpVdNW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\niC8AAMaILwAAxogvAADGiC8AAMb+A9MpAt69PM0oAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ "plot_svc_decision_function(clf)\n",
+ "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
+ " s=200, facecolors='none');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's use IPython's ``interact`` functionality to explore how the distribution of points affects the support vectors and the discriminative fit.\n",
+ "(This is only available in IPython 2.0+, and will not work in a static view)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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wPL/FYmHHjgvC8lxChMvs7AyaFjjzHR8fAwL9DlZrA4piw2ptOOOCJUJEwrqD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\nRQwAgEEUMQAABlHEAAAY9DtZs7XuFTVZkAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from IPython.html.widgets import interact\n",
+ "\n",
+ "def plot_svm(N=10):\n",
+ " X, y = make_blobs(n_samples=200, centers=2,\n",
+ " random_state=0, cluster_std=0.60)\n",
+ " X = X[:N]\n",
+ " y = y[:N]\n",
+ " clf = SVC(kernel='linear')\n",
+ " clf.fit(X, y)\n",
+ " plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ " plt.xlim(-1, 4)\n",
+ " plt.ylim(-1, 6)\n",
+ " plot_svc_decision_function(clf, plt.gca())\n",
+ " plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
+ " s=200, facecolors='none')\n",
+ " \n",
+ "interact(plot_svm, N=[10, 200], kernel='linear');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Notice the unique thing about SVM is that only the support vectors matter: that is, if you moved any of the other points without letting them cross the decision boundaries, they would have no effect on the classification results!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "#### Going further: Kernel Methods\n",
+ "\n",
+ "Where SVM gets incredibly exciting is when it is used in conjunction with *kernels*.\n",
+ "To motivate the need for kernels, let's look at some data which is not linearly separable:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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GjesEBAR6vefhw+mEh0dgNkcRGOj9HHF/NpuNAxv2U22tYuDUIdKOPkiCsxCi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\nSyWvvw6/+pX7+X37wvnzlyg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v13sMi0dGmtBqtSiKwqczV/H83ufc7n1De4O9rx5kxAuj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\nhBBCSJSh5EwIIYREGUrOhBBCSJT5/1cQsQ3TaUnmAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets.samples_generator import make_circles\n",
+ "X, y = make_circles(100, factor=.1, noise=.1)\n",
+ "\n",
+ "clf = SVC(kernel='linear').fit(X, y)\n",
+ "\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ "plot_svc_decision_function(clf);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Clearly, no linear discrimination will ever separate these data.\n",
+ "One way we can adjust this is to apply a **kernel**, which is some functional transformation of the input data.\n",
+ "\n",
+ "For example, one simple model we could use is a **radial basis function**"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "r = np.exp(-(X[:, 0] ** 2 + X[:, 1] ** 2))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "If we plot this along with our data, we can see the effect of it:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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lTSGt3UyKLxjBc2qs+IIsl6fHo2AW5qFDB/HQQ9/Ct771Pcvrr732Cn7yk4ch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\nPl8NvN5qiKIPgiDGCi4oigx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T+gN2ZVKRQT/BYBCjo1cxMjKM+vo60zu0BPQ4hzP5lIVn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\nAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from mpl_toolkits import mplot3d\n",
+ "\n",
+ "def plot_3D(elev=30, azim=30):\n",
+ " ax = plt.subplot(projection='3d')\n",
+ " ax.scatter3D(X[:, 0], X[:, 1], r, c=y, s=50, cmap='spring')\n",
+ " ax.view_init(elev=elev, azim=azim)\n",
+ " ax.set_xlabel('x')\n",
+ " ax.set_ylabel('y')\n",
+ " ax.set_zlabel('r')\n",
+ "\n",
+ "interact(plot_3D, elev=[-90, 90], azip=(-180, 180));"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can see that with this additional dimension, the data becomes trivially linearly separable!\n",
+ "This is a relatively simple kernel; SVM has a more sophisticated version of this kernel built-in to the process. This is accomplished by using ``kernel='rbf'``, short for *radial basis function*:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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IKGFhYfj5BUzoTmfW1tasWrUGd3d3zp07y5kzmezc+ZVh1SLY2dmx5KvLRyGV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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "clf = SVC(kernel='rbf')\n",
+ "clf.fit(X, y)\n",
+ "\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='spring')\n",
+ "plot_svc_decision_function(clf)\n",
+ "plt.scatter(clf.support_vectors_[:, 0], clf.support_vectors_[:, 1],\n",
+ " s=200, facecolors='none');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here there are effectively $N$ basis functions: one centered at each point! Through a clever mathematical trick, this computation proceeds very efficiently using the \"Kernel Trick\", without actually constructing the matrix of kernel evaluations.\n",
+ "\n",
+ "We'll leave SVMs for the time being and take a look at another classification algorithm: Random Forests."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
}
- ]
-}
\ No newline at end of file
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/03.2-Regression-Forests.ipynb b/notebooks/03.2-Regression-Forests.ipynb
index 7d15164..170bf1f 100644
--- a/notebooks/03.2-Regression-Forests.ipynb
+++ b/notebooks/03.2-Regression-Forests.ipynb
@@ -1,594 +1,643 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:3a61c2b0ff9a0ec8b88112953fd3afb27dd52135c543ff3ea2a093c0f6e008ef"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Supervised Learning In-Depth: Random Forests"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Previously we saw a powerful discriminative classifier, **Support Vector Machines**.\n",
- "Here we'll take a look at motivating another powerful algorithm. This one is a *non-parametric* algorithm called **Random Forests**."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "from scipy import stats\n",
- "\n",
- "# use seaborn plotting defaults\n",
- "import seaborn as sns; sns.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Motivating Random Forests: Decision Trees"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Random forests are an example of an *ensemble learner* built on decision trees.\n",
- "For this reason we'll start by discussing decision trees themselves.\n",
- "\n",
- "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "import fig_code\n",
- "fig_code.plot_example_decision_tree()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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oUP74449kf4n5448/yJMnDw0aNEhyLiAgADB+TAAPP/wwPj4+bNu2DYADBw5w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\nV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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The binary splitting makes this extremely efficient.\n",
- "As always, though, the trick is to *ask the right questions*.\n",
- "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n",
- "\n",
- "### Creating a Decision Tree\n",
- "\n",
- "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import make_blobs\n",
- "\n",
- "X, y = make_blobs(n_samples=300, centers=4,\n",
- " random_state=0, cluster_std=1.0)\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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34FCdOrS8eEFvWyjQNvvnbrExrF7+NwHvflBgncELF+gEX9BOWBi2YyvBgRuw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\nAElFTkSuQmCC\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We have some convenience functions in the repository that help "
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from fig_code import visualize_tree, plot_tree_interactive"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plot_tree_interactive(X, y);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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vzRK74EJZ/Ik5RuYhM9izOwCuYeMLzDktP7nVEYLR+EusYvMmfkjnw1HB3Ox2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G136QIaq64JbTiGdACSkhKwXF3bkEg0Gqp9GAa4g+CX0aXkdIrzuvW/bo5CKN3LT8ES6dbV1ZQI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\n6K0LJpIO3CkZlbuuBgqKfNDABi29vgiAr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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n",
- "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n",
- "\n",
- "**Question: Do you see any problems with this?**"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Decision Trees and over-fitting\n",
- "\n",
- "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.tree import DecisionTreeClassifier\n",
- "clf = DecisionTreeClassifier()\n",
- "\n",
- "plt.figure()\n",
- "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n",
- "plt.figure()\n",
- "visualize_tree(clf, X[-200:], y[-200:], boundaries=False)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "text": [
- ""
- ]
- },
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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e/q5C23DgU/jkExgXCx5WoN6L9FeL7nvbDVxWwX09IMWY51FfnHaQdRDyI/Ue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\nc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dwK4UkmZAYtWPjorGtC03zRhIzoHVX8N9Z6GsA2x9FS5Wva+Wo2ehERojaqSQ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\nv/qqf1v18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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Ensembles of Estimators: Random Forests\n",
- "\n",
- "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n",
- "\n",
- "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n",
- "\n",
- "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "def fit_randomized_tree(random_state=0):\n",
- " X, y = make_blobs(n_samples=300, centers=4,\n",
- " random_state=0, cluster_std=2.0)\n",
- " clf = DecisionTreeClassifier(max_depth=15)\n",
- " \n",
- " rng = np.random.RandomState(random_state)\n",
- " i = np.arange(len(y))\n",
- " rng.shuffle(i)\n",
- " visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n",
- " xlim=(X[:, 0].min(), X[:, 0].max()),\n",
- " ylim=(X[:, 1].min(), X[:, 1].max()))\n",
- " \n",
- "from IPython.html.widgets import interact\n",
- "interact(fit_randomized_tree, random_state=[0, 100]);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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DY3Xa7Ydx80sPuAA8DoGz4NH+sLwqfrzPikXTKMx3ZHiYAyEuyRy5kc6vu77m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7ddrQWB3bSXL4erjx37RtSnT7Yd80FbhpCGGo2fvwL27bmzPSjEZaaHp6TmR8i1K9klGIO+paF+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\nYII=\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n",
- "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.ensemble import RandomForestClassifier\n",
- "clf = RandomForestClassifier(n_estimators=100, random_state=0)\n",
- "visualize_tree(clf, X, y, boundaries=False);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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ODd6bLnbBhdL4E3OOzEVmsGc3C65k7XP89ue85FaHCmbjL7CM9ev4Pp0PRwTP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\nFyF0auX6Asmeeu1xJQoa7I/pPE4CcLw4JSA8wl1nprmfv73X1k0nbfc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PjvDV/CEQHulh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0lT4jt1Dcwew0ZGSrdtunIrJs63r307juNw93bFzTkLenVodO/ab86nc7i0dCaL4lZRrsjv3sNt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\nqtFMBwQRAwBYFApc/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GJr5TRrmzw1wXxg3+1Nt2+W9mUwyLy6OpOSwSRLl65My4VXRFi3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\nUXM8J07M0z/8cL0tJ7VTpqRYN2xYwgDsBGwvoxOnj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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n",
- "\n",
- "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Quick Example: Moving to Regression\n",
- "\n",
- "Above we were considering random forests within the context of classification.\n",
- "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n",
- "\n",
- "Let's quickly demonstrate how this can be used:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.ensemble import RandomForestRegressor\n",
- "\n",
- "x = 10 * np.random.rand(100)\n",
- "\n",
- "def model(x, sigma=0.3):\n",
- " fast_oscillation = np.sin(5 * x)\n",
- " slow_oscillation = np.sin(0.5 * x)\n",
- " noise = sigma * np.random.randn(len(x))\n",
- "\n",
- " return slow_oscillation + fast_oscillation + noise\n",
- "\n",
- "y = model(x)\n",
- "plt.errorbar(x, y, 0.3, fmt='o');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "xfit = np.linspace(0, 10, 1000)\n",
- "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n",
- "ytrue = model(xfit, 0)\n",
- "\n",
- "plt.errorbar(x, y, 0.3, fmt='o')\n",
- "plt.plot(xfit, yfit, '-r');\n",
- "plt.plot(xfit, ytrue, '-k', alpha=0.5);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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RzjkXomH19RZS1I6PX4KzpR7Xomacq5Zy5cb/ot2zD+22N9Du6hojzk1NLTyy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\nRERlKcYRERGVnQWsICPHO53cSQAAAABJRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example: Random Forest for Classifying Digits\n",
- "\n",
- "We previously saw the **hand-written digits** data. Let's use that here to test the efficacy of the SVM and Random Forest classifiers."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import load_digits\n",
- "digits = load_digits()\n",
- "digits.keys()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 11,
- "text": [
- "dict_keys(['target', 'images', 'target_names', 'data', 'DESCR'])"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X = digits.data\n",
- "y = digits.target\n",
- "print(X.shape)\n",
- "print(y.shape)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(1797, 64)\n",
- "(1797,)\n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "To remind us what we're looking at, we'll visualize the first few data points:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# set up the figure\n",
- "fig = plt.figure(figsize=(6, 6)) # figure size in inches\n",
- "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n",
- "\n",
- "# plot the digits: each image is 8x8 pixels\n",
- "for i in range(64):\n",
- " ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n",
- " ax.imshow(digits.images[i], cmap=plt.cm.binary, interpolation='nearest')\n",
- " \n",
- " # label the image with the target value\n",
- " ax.text(0, 7, str(digits.target[i]))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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Nm4dIJIKKigr4fD43a0uqUCiUMum560pKSrBy5UosWLAAPT09WL58Ofx+v9dl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\ntdmt5KOWipKOs5ao1ZJ5biTLTEj1ayl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V2PEREZFV2PEREZFV/h9jWehpiEhoewAAAABJ\nRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can quickly classify the digits using a decision tree as follows:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cross_validation import train_test_split\n",
- "from sklearn import metrics\n",
- "\n",
- "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)\n",
- "clf = DecisionTreeClassifier(max_depth=11)\n",
- "clf.fit(Xtrain, ytrain)\n",
- "ypred = clf.predict(Xtest)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 14
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can check the accuracy of this classifier:"
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Supervised Learning In-Depth: Random Forests"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Previously we saw a powerful discriminative classifier, **Support Vector Machines**.\n",
+ "Here we'll take a look at motivating another powerful algorithm. This one is a *non-parametric* algorithm called **Random Forests**."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
- },
+ }
+ ],
+ "source": [
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy import stats\n",
+ "\n",
+ "# use seaborn plotting defaults\n",
+ "import seaborn as sns; sns.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Motivating Random Forests: Decision Trees"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Random forests are an example of an *ensemble learner* built on decision trees.\n",
+ "For this reason we'll start by discussing decision trees themselves.\n",
+ "\n",
+ "Decision trees are extremely intuitive ways to classify or label objects: you simply ask a series of questions designed to zero-in on the classification:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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GlTtP6ROQBw8eyBwXxcXF2L9/v3BOKB1/y5Yt0a1bN0gkEixYsECmV/rc3Fxs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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import fig_code\n",
+ "fig_code.plot_example_decision_tree()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The binary splitting makes this extremely efficient.\n",
+ "As always, though, the trick is to *ask the right questions*.\n",
+ "This is where the algorithmic process comes in: in training a decision tree classifier, the algorithm looks at the features and decides which questions (or \"splits\") contain the most information.\n",
+ "\n",
+ "### Creating a Decision Tree\n",
+ "\n",
+ "Here's an example of a decision tree classifier in scikit-learn. We'll start by defining some two-dimensional labeled data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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jQJ0sHpMKry8RiF9j3b6ayX4jI4z27sYpLJQoVzfSe/Si+xczSrprerOzs+di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\nx7fzqr/V11bxzvBMfMrHmrU3CuX0fOsIc568/7Ib7hU2icuOcdckLm3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s7KmtVrN6RSaL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VODe/cl6vOFZHTqVO/arvsPMKdny9T63bgnnb+fOkb+8GEoBgNeWzdwt0bP45NubYnVO4HsI25l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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets import make_blobs\n",
+ "\n",
+ "X, y = make_blobs(n_samples=300, centers=4,\n",
+ " random_state=0, cluster_std=1.0)\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='rainbow');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We have some convenience functions in the repository that help "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from fig_code import visualize_tree, plot_tree_interactive"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now using IPython's ``interact`` (available in IPython 2.0+, and requires a live kernel) we can view the decision tree splits:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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6uDD700/RNryar2FoWRmXahaklzVxNSkvLW1RXEszYtQoEhYv5rJSWWe7rlBw\naM4cxkdGWjGzaipu3qSxVieKBw86NJfTR48y0WjgrcVXp6P4+PEOzUUggKfgnu+Ul15i7blzLEpJ\nqeuJm65QkLF4MfP69rVqbtYgv6SEro384QupqkJx/jwjAc3Fi6y7cIGlH39scg+1NSSdP0/6zp0o\nMjPR9OhBz5kzGVa7/J4RW/72N0Zs3EieVstzZvy4AJozZ5os55jDxdkZhy5d4M4dk21FgHPtY1X+\n/mjA5MeJAVBb6T4lVDcpOR8XR+6NG/g7ODAkNBSJRMKCN97gau/e7LpxA/R6eo4bx/IhQ2xiDoPU\ny4sqMDvZTdvEKk2WQFJW1uiVhrykpENzEQjgKRh8nRwcWPrrX3M0JQXNlSvo7ewI6NOHeYsWWTs1\nq+Dv4cGlgAAGmZmQcwUIq/m/Alh24QKHNm1i5qpVbYoZu38/Lh9+yPzi4mrDtWtcPX2aYz//OeON\nFrC/evUqqm3b6KnVchHM3qsHkDV4vKi5aAcMQHPnjsnAeqhvX+Y9+ywAEyZNYltSUr2lJgH29ehB\nZCsnhjUHtUbD0V270CQkoA8KYuzChXjUtMjMzc3l0O9/z/jEREbodGTK5aw9fpwZf/gDnp6e9AsK\not/06RbLrbVMmD+fPTt3Mv/mzXr2LKWSLhERHZqLY8+eFEK9Ji+1VHXv3qG5CATwFAy+AHYKBVMX\nL35ksIGrAmuhlMvRTZxIwZo1eBg9r1tOdacv49V67AB9axpgGKHX68ndsIHRtQNvDf3KykjbvBnd\n735H7Tzj60eOMLtmYO0C5ABdzfhUBwe3KpeZixaxvqqKUadO0VetphTYHxBAv1/9Crm8+qvgbG/P\n2NWr2fKPf6C8dAl0OjTduxP+xht09fNrVdzHkZuby+G33mLOlSs4Uz0L++CuXfj99rcM8fDg6F/+\nwooLF+p+jPTSaukZF8eGDz5gWe1azzaIo709qt/9jk0ff0zE5ct46PWc8vfHMHcu00eO7NBcoiIj\nWXfhAs83WPf5uK8v4c1cdlIgaE+eisFXUJ/ZP/4xa+7fR3n8OL3KyrglleJQVVVvFnAtBnnbPiI3\ns7MJuXbN7Law69e5cvMmg2r7Rxt12XoG+BpYQXUbylr29uxJxIoV1Y05WoidQsHzH35IclISuxMS\nsPfyYnZgIMqBA+vp/P39WfjeexhqfpxIUlMhJKRRv1VqNXdyc/Hu3h1XZ3MP/zTN8Y8/ZvmVK3WD\nggyYlpOeutYYAAAgAElEQVTD1s8+w+uVVwiOjzepAkiAbhcu8KCwkC4tjthx9AsLQ7VmDUnR0dxy\ndWXcyJE4OTh0+A9guUzGnNWr2fLppyiTkpCWlqIeMIB+K1fSu4n3ViCwFE/8o0YW9d0JNYbYWDZ9\n8w0jY2IIVat5CBikUu5g+mEoBBy7dze/sEMz83Ho14/7cjmYaS1ZKpfjlJoKNVeyvYODuapU0k+t\nRkL1ilN7qB5oil1dcQ4PZ9j06XQvL2/T+RlkZ8egUaMe2Yx/YBjtIzFjM35tMBiI3rEDSVwcwffu\ncc7Njfz+/Zn1wgs4xcc3Kx+1Vouz0VWtMePT0ojetImJjUwC8y0s5EFCAl2MH696TM7W0EiAwfn5\n0Lcv1N7usML32z0ykkXz58P8+dWa2klpjXW1s7HvrtB0Mg085Y8aWdp3J9Mci41lwtGj+NRcZfoA\nPno9F2UyDhkMuOv1ZFPdeSqlXz9++9JL1Z2qWpmPv0rFycGDiYiLM5FeDQtj+PDh5Hh709XLi/4q\nFZuuXcNt0ya66fXYATOAjX36MPdf/8K1tmtVK4+9vTV7//1vRu/aRZeac9m/sBDdqVOst7Nj5Ysv\nNsuPNjAQZSMLWzgDHv36cfnOHbrfvWuyPS0oiCljxkDXrjb1GetwjbXjC43QNGVrBFF2fsooTkys\nG3iNCdPpeNffn5U5OYyoKbeWXL3Kd2++ybKPPsLeZI+mefDwIad27YIjR7CPimJLXh6zMjKwA9TA\nFi8vih4+pOytt8i3s+NkWBhDfvpTFr35JrFeXpxPT0eqVkNoKAvCw3FsOPBaGYPBgPr77+sG3lpk\nwMC4OG5MnEjvZnwRHe3tKQ4JgbNnTbYd9/Pj2VGjOCKTkf/vf+NtFCtbLkc2bRpKRcPpYwKBoDMg\nys5PmUZ6756ppobAnByCjSZhuQAr4+LYu3o1c2oWkzfnNzs/nwtnzyLNymLsCy9wMT6eis2bmVFQ\ngBS4JZezf+BADixejPTyZbK9vRlw/jyR9+9XOygvJ+LMGbbevk3Xd99ljEbzaGnF2lgNH3ey8nku\nq6zEPTvbVAsMLC/nwIED9G44i7aRWEFjx3I6NZVnjBafuKVQoBk9GpeEBGaPHcuB8nIqzp5FUVSE\nRi7HZfJkpkdEWHSt506hsXZ8oRGapmyi7Nw+vtMyM7m8bRvy7Gy0Hh70GDSIYbZW5niMRhsejv72\nbZNnHksBHzOrFSkASXY2zJtnNta2Tz6h665dzCwqQgvsvH4dRWUlc4yeneyp1fJiYiL7Bg9m9n/9\nF9vXryfSzH3MWXfvcjA5mZlG6wC357G3p8YxJIQiX18w03gj1cGBYHMdphqJNVilIqV/f7Zu2YLd\njRtounbFa9IkZjz3HKSkIFGpmNqv36N9Omit506jsXZ8oRGapmyNIMrOzSTxzBnKPvqIeYWFdbbU\nEyc4DEwyfozJQhgMBmKPHqUwORm9kxOR8+dTu9ruxcREbh48iDQ3F8WoUTw7d26j5cgJU6awOS2N\nxampdZN8dMA/fHx4w0wHIKDeLGRjju3dyzPffUfXmslUCsA+P59pZrR2gOTCBRg/Hnlubp29ADjK\no4UOMs6ehREjmjoVNoFUKkUSFUVJejrGBXEDkDB0KCsDA1vkTzVgAKraJRxb8AUWCASdE1F2bqYm\n4x//YL7RwAsQWlnJjbVrqVKpsKsd7CxwHBVqNRvffZepd+7gZzCgB45s2oTDkCEUeHgQvHs3c2r6\n+5adPMn66GgWvPkmzg4OJr7dk5OZ+NprbIuORpGRgV4qRefoSMSECdz99FMCtdp6ej2g8/U1m3Ph\nhQt1A28tBkCGeaSFhXDqFNqaCVy5wAlgAY/6nN4+f56tH37Igl//utnnx1qaWWPHsv3uXdzOnaP/\nw4fcdnQko18/Zixb1iH5XLx2jczkZLh3j9HPP08X465RNnB+OkRj7fhCIzRN2UTZuW2+C4qL8c7K\nMtUDkffu8fGHH9J/2jSmLFpUPfC083Hs/etfWZmVVfdmSYFJhYXsTEjAVaejn1FjfSdgVWoqO06c\nYP4vfmHWt5dKxYLaR20AUlIwhIayLj0dl9278aopP2uA9WFhzPvVryAry8SPLCHBJOVAIA0w17hT\nM2AAREbSs39/rly+TEppKQ37jPUwGMi/fp2b9vYEGl892lo5SaVCCix4/32KS0tJO3SIHpGRjKy9\nN+7iYrF8dHo9361fz8gjR5itVqMDjty8if2rrzJ25sx2jdUpNNaOLzRC05StEZ74hRXaA7lMhkZm\n/nquAohKSWHcRx+x9ne/q2vM0K7x4+PN/kqaXlhImZm+tFJA1sLOVBKJhBVvv03SO++wMyKC6Kgo\n9v3kJyz47DNcGmkcoe3Vy8Q2EDgJNLyje7hbN8JXrABg6KhR5P/855QplQ13r95eUcHmd99l36ZN\nVFZVteg4rIGrszPDVCr8G05KsxB79+xh/v799K350SUDJufno/78c/I7eMECgUDQOkTZuRkaF+BB\nUBCYudI7DcyjesCbfOQIcTIZo4x7ALdDPtIGrRlrUVBd5jWHpLS0xc0xJMDE3r1h8OBHDQgaa4pw\n6hQjhg9n/4kTTDW6h2sApH36cGjgQCRxcUiVSjQBAYRPmUKwTlfnJyokhB3+/o/8G2EAQq9cIerK\nFXZs3szoUaMw6b5r6yUnC2r0p05hbqHMCffvs/uLL5g9d67N5WzL32+hERqLaECUndvD94jf/pbN\nv/gFc+7cQUn1vdDDVJdZa8sH/no953W6dj8OzYABYOaxlguYX3zAAGiHDXvk8zGxtDodJzIyKMvK\nwqVnT8aOGoWsGTkHqFSoAwLY9p//IE9JwaDXoxkxgrmvvYa7m1uTa/UC6EaORJ+ZaVJ+OQWMAByB\npbdusalLFxb/6lePzcfmSk4W0kjtzT91LQUkzs7Nft+fGI214wuN0DRlawQx27mZ9AoMxOv3v+fg\nxYtkbN5Mj7w8IqnuEGWMoZHydFsYtGoV3ycmMjE/v85WRPW9VSlwD6ht+a8DNoeGMukHP2iW79uZ\nmZz8wx+YnpGBO/AQ2NC7NxM++gj/bt0eu39Qnz4E/fGP1S9aOFN38o9/zNqEBBampdUt93gZKKb+\nggp+aWkUFBfj0cHL0Nkq6m7dwExLydtyOX7DhlkhI4FA0FJE2bkFGuf4eGZGRhKdl8ekzZtxaLD9\nslJJ34ZN4834McTGUlxejqNSiUIuf2w+fQBZVBRbc3MpPXsWt6oq7IDaNhQngGNAlZcXbpGRTJ0y\nBff8fMjPf+xxnfrgA5Yb/SH3BFbcuMGGd99l6ZtvNn4c7XCeXYEl48ZxJCKCnIQE7K5cIRxMHlVy\nqqig4vJlPDw82j2fkmPHUKjV2Nfef7a10pUZzbCuXTng48MUo0fDqoAj4eG84O4OKSlUxcRw8epV\nnB0dUfXsieT0aavm3Bm+30IjNO2qAVF2bm/fU/v0YW1eHjOPH8e7xnzV3p60pUuZN2FCk36O79rF\ng++/x2vDBkpcXCgbMYKZ06fj+Jh8goAglYro2bOZ1aDPb1TNv9ETJjDrrbeafVy3s7Ppc/26qR7o\nmZZGro8Pvl26mOzX6OtWaOyAaSoVVWo1h5ctY4DRPeD7VJegU93cmObsjP/jfLcgn4RTp7i5bh0e\nKSmoo6MpDg9n9M9+hr+5Bh9tjNXeml6AYd48tq1bh+L6dfR6PYwbx/If/hCJQsGhjRup2rOHYTk5\nlMjlbBkwgIGzZqGy8eNqtcba8YVGaJqyNYIoO7cChVzOCx98wMlvvqEwJweDQkHQ5MnMCwtrcqm0\nk/v20W31aqJqF4MvLka3Ywfrbt3i+X/9q1mxNX5+YKbJfqZCQbegoBYdR2FhIV6VlWa3dSkro7C4\nuP7ga0HslEqUCxZw4/PP6V1RwTGq76vPBGY/fEjKq6+ybuJElr3zDlJp2ybpp1y+TNV77zG/tr1l\naSl8/z3r795l/q9/jV3Tu9sEgb17E/juu9UvjMr9Z44dI6jmHAJ01Wrpm5TEjtxcuk+ciLOjYyMe\nBQJBRyLKzq3USIFxOh3Mnfto+2NmF+dt2MCY2oG3BhkQcfEil6OjGdCnz2Pz6TJ4MJnJyfTSaOo2\nGYAToaGsKih4/Lk2eh2q03HA359eZiZzpXTvzoyysjYtt6aOiWHfjh2QmopEp0PTqxfjfX3rrz9r\ntM/ksDDO/OhHnNi2je45OUw2auChqqwkYM8e9ru6Mn3q1Da9p1e/+urRwGvEnJQUjq5Zw9RXXmmW\nH1vU5GzaxKgGnzGA6Tk5HPr735kxfbrN5dwmjbXjC43QNGUTZWcL+m6BRtGgQ1YtoTod0UVFDGhG\nWTVKpeKwuzsJu3fTMyODh25u3B82jDlvvYXk7t0W5aMElIsWkfn55/UG83SlEqclS5APGNAsP+Zs\ner2edR99xIqkJGqf5jVcu8amXr2YvGIFnp6eZv2MUqm4d/Mmk6KjTVy7AOqMjEf6Vr4XivJyUx3V\ns6s1Dg42+/lpjkZu1HDFmNoZ+o/1baPHZdPxhUZomrI1gig7dyBad3fIyTGx5wGeAQHN9jNpyRJ0\nCxeSExdH3/BwXJxqnvo0U45+HFNWrOBEeTkJly4hz89H6+ODT1hYm/tVnzh4kNlGAy9UPxa1ODOT\n7evWMf/11xvdV6ZWm32ECkBm5qqupWjd3c3adYChk8+o1vr5QXKyib0cUPbo0fEJCQQCs4iycwdq\nZCoVxSkpNPzzftjXl6U+Pk3Pkm7wWgYEpKSA8RVkK3MeJ5XCq6/W1xjlYjAYiNuwgfuenvQOCUEV\nGPjYWCXHjmHubrEEkCckNF7OBjz0enIkErqa6Ram9vRscfOQhq99+/cnIzaWoAZXiQe9vBjr6tqi\n0r2taYKGDOHi6dOENVhtKdrLi7mhoS36jHUKjbXjC43QNGUTZWcL+m6BZmZICFtkMroePEhEcTHZ\nCgVxAwcSuXAh0v79bTLn25mZnHz/fSYkJzNKr+eKgwPfjhzJwhUrcGiq7NxEq0W9p2f9eA38RC5f\nzntxcfy/4mIURvZdQGWPHm0uO0eqVOyXSEjdupWx2dmUSSTEhITQ+7XX8HB3t9nPT3M04SoVp11c\n2Pr11wRmZVFmZ0dOWBjPzJyJ3aBBNplzmzXWji80QtOUrRFE2bkDkUqlLP7Nb8gbO5bjDx7g260b\nS8LDkaSmWju1Ron9859ZnpRU97p/RQUhx46xDVgcFtbofiFTppC8YweDGsymLgbsIiKajHn+0iVW\nlJaym+qJbVJADQwH4uPjW3kk9Rm/eDF3xo/n1MGDuPTrx/yRI6tnUTcxW72z8Mxzz2Ho3p27Xbrg\naG/P2NpuYwKBwGYQZWcraHyuXOG52t7JqalWz6cxTfL160QYDby1yAHHCxfQXLpU3STEjB+VVMru\ngQPRXL7M0Jr7tJlyOTGBgayoXbe2kXzyTp0iQq8n2DRTknNy2lR2rtJo2PXddzgnJ+NTVESlkxNV\n48cjcXcHicRm34uWaiSnTxNQ+xnLzrZ6Pk/T91tohKYOUXa2oO8nWJOTnk5Ug/V9a3HT6ynr1Qt3\nFxeT/WqZ+frrpCuV7Ny3D4lWS0BkJKvMLbXX4HW3qChuxscTaGbmrjogoE1l560bNrDwyJG6iWDD\n1Gru79zJHl9fZv7wh832IzQ2pLF2fKERmqZsjSCWFBQ0yuCICM4bt3Q0It/PD7dGlho0Jjg4mDk/\n+xmzf/ELho4Y0by4KhUxQ4aYrNiUrVDgNmVKs3yYI/v+fQJjY2m4kKGXXo/u0CF0Rs8VCwQCgSUR\nZWehaVTjAxwdPJjSo0cxHmYzlEo8unUzvVfdjiXTWatWsRHwu3IF35ISrvv7oxgzhmm1JetWxErZ\ns4eIRpZn9L17l4cXLuBtbh1kG3gvhMZG4wuN0DRlE2VnC/p+wjUL//Qndn/5JfrDh1FUVKDu1o0u\nM2YwoW9fi+bjoVKxdMQICoqLeZCQwLTRo+vfX25FrMBJk7hx+jThZp4VfuDtzdAhQ8DV1WbfC6Gx\n0fhCIzRN2RpBzHYWNIlMJmPOK6/AuHEYQkORSGraX3TQ7FkPV1c8fH2h4cDbCoK6dWPd8OGExcTU\na+JRCVSMHo1SoWhzDIFAIGgO4p6voNnUDbydmOlvv836ceNIcHSkEIhxdWXHnDnMeeMNa6cmEAie\nIsSVr+CpwsPDg+UffUTm7dskZ2QQamfH2FGjrJ2WQCB4yhBXvlYm5/59rufkiJm2HUyvHj0YGxWF\nTyN9ngUCgcCSiCtfK3ErM5Mz//d/9EpKwq2igui+fXFfuJDxc+ZYOzVBExQWl/Kf9Te5d8+ARALd\nwop58QdhOFkoXsylLOK2lqOtlOMfWsmSReHYWyiWQCDoODpk8M1vMDen/FT18m1N2dpLY0nfrdUU\nxmg5c+i/WXXrWp1Nde0aV1b/H4dKPRg8dJzN5Sw0UFZZwV/+chXfG7/DoWbKVn6Cjt/Efc7ro13w\naKaf5mq+3hLHvb3zcNOFAHDjYCW/PLCGV55R4tcMP3Kths174rmb6oT2oRrvQXHMmxWKl6u7Rc6P\nNTTWjm9tTdq+As5uP4vBIGH0yAD8Mm0/56dFA+Dd+JNGHTP4alT1MyhkKIoGM7Ib2tpLY0nfrdWc\nOHKepUYDby39K8tJTDqJZsWbNpezrWjy7t3m4jd/QZGYhOy8kqqhUYx98bcUdUA+W7/aifeNl5AY\nzZWWIsMt5YfsGHaClUaf87bGSk9PJ+voKLxqBl4ABfZ4XfsJG4N28tpjYj3UD+brNf/BLeYlXLAD\nQJNj4JNbm3j1k8F08fRs0/kpLi0i5shpnN2cCB21FIVK1m7H3hKNJX3bumbjV7u5ET0cn7IIJEhY\n9308rmOreO2lpv/e2vpxPSmaxyExGMys29bOdPfvVe+1TgOyBk91NLS1l8aSvlurqSgswLnCfLOH\ncoUSO6+uNpezLWj0Oh3qh7k4aTX19CV2Dti5+Fg8n+KCCiSVDpjDYFeOq6ejyT6tjVVaUo6htOHv\n6Gr08nLcvJuOVV5aibZEicTMtA6JUznOro6tPj+VlRVoyyVI9fYY0KOXVeLgJsfOTtkux94SjSV9\n27JGXaWm4qEEKfV3MqBD6aHF3t7O5nJ+2jQAWdmZNEaHXPnqNA1eV5rRVFpGY0nfrdXo9XIMYHbB\neL1Ehk5jeznbgqaqtAiXBgMvgGNVBWWScuydHc3u12756Bv/nWrQ1f+ctzWWoYn5dwb942NpKg1I\nG5lPqVNLWv0ZKy+txFCpREr1la4EKTKdIxWFFcjc9Uik0jYdu06no7KiCnQSDAYDdk5yFArlY/dr\n6XF0dk1luRapSZETJMhQl1ehkJnfz5o5P22ax9Ehg++FA5n1XuengHeDy/OGtvbSWNJ3azV3k6u4\n9qcRrLieXM9+zcGJG//zLYMnzLO5nG1Bc+rH41kYfxxzrBm7hKn/+8lj/dzN3UnB3rUo72dT5dsd\nRfiLjFkytVn5HN5/jCu/74eTvv5axUXKDAa+cZ/nFo9olp/maFKvXWPnS1V0qai/Bq8BA+pJ2/np\nH+c36efz3+1EecD85L3ykTt5469zWvVefPCjHXgkzDXxqdNrcVu8j6U/nNXqYz+x8zKxa3LxKXi2\nzlagu8SA1/KZNm9Cs3N8GjT//F00sgOzMEflqGh+tnqW2f1s/bieJM3jELOdrYBSYUfw/3zLf/72\nKwZdjMWjqpILwf2RzP8Jz0yYZ+30bBatnfmSL4BW8fg5wInf/52Rm98itKKs2nApjqRThzjv/AnD\nZ6xqdL+yihKS13yCMjMVQ2AetzJfpaduNgAPHS7hs/AaQwYtaNnBPIbQkBC85m6meGMXXPTdANCh\nJW/ARpbNnv7Y/Qc/E0LMiWSTwbuKErqPaLi0RPPRlMjM2mXIqSxoub+YI3Fc2HWXintK7tzLZEj5\nz+pt9ygdSPx3u3l2RhV2SrtGvDx9eIVKyTtQiaLB3Hc9Ojz6iMcWOwNWme2cdcpU09DWXhpL+m6L\npntkGIN/dpi7uemcOV1AxMwwFHJF3bmyxZytrSkJnETJ6f00WMSQM45uyJ1ebPJzptFqkEX//dHA\nW0N4RRGXvvmU3MAVSKVSk9j5eTfJ+N95vPggCQWwFDipiGOrajluPZ9jbEQIvQMXWOTYZ09dxO77\nJykqPYdeLcOtp4Hnp8zhQbwz+S5N+7HPVuE1NZrc/Vp8KoYAUCy7jXrEMSIHrSQ/pXXvhR7Tsj9A\nJcV4Odqb9WvOT9YpiImJIWOtD+6VI1FSQinnzfp2vzWW/RvPEDk8ymY/mx2tiRj4LF/22UzA9ZV1\nEwANGLjptZmXh06r912wlZyfNg2Av7VnO5u7FG+Orb00lvTdVo23KphuvraTjy1rpoW8wXcPE5h0\nZDPBajUG4JSrB3d/8N8MG6pq0s/l5AuMK7hiKgDCbidR5pZJz4Agk9hJ69/hRw+S6unHaIopeHiA\nfv/4EEeHR0/4WuLYZ64cY6JxtG+enyGqWdxYdINT+3ZSlith9Ex/RkSsqtcmtKX5RC1VEfv3M3jd\nf9QVzICBgoE7eeVHS1HIm+fHYDBw4C/5eFeOBarvHRswf8WmQ4NXoNzoO9O076dD48Avv5jNt3/e\nRtldOQY9dOmv5YWxEwke5majOT99mqYQZedOTGlFMQ+upePfLQhXZ9Mv3JOGVCpl1ntruTTrRY7s\nPoCDnx2hs15gTECwyVVvQxyd3SmQ29FDW2WyrdjeARcH0zYZBoMBp+TTZv1Nyb7Jtv3fMW7ej1p1\nLB1F79696f167xbfj2qM0D79sP99IjHfbaPkmgso1TgFlfHK21NQyBWPd1BDQXE+upv+da+VOFFJ\noVltae+TjBw1s825P2m4ubqxZOUCk3uRgs6BKDt3Qo1Gq+Hs2tfpcXY3/cvucs29KxnhM/Dv8xk0\nWCreVnJuT42f8wQ0PSbQPRIooVmlThdUnPQZRVj2cRNdSu8xjMjzJT+v/j4GA+ir9KaOqe7LWnRH\n81TeJugVOZherw2mUl2BTCrn3lkFkgeQ/6D5fh4kOqG1K4byR7auDCGFHYQwCykyDBjIc4slfIof\nBdflVjlWoRGa1mpAlJ0t6tsamv1/ep2Xjv6T2uknQYU5qI9/yZcYiPjxlzaZsy1oer6ymg3/WcXc\njKvYU/13f2OPMMJ+txrvQHP7SEgOHw7fZ5r4/d4ngKgXl+PqYm6/9svZtjUOACjkrfHjxIW7BRgO\nGOruWXoSjANdSPT7XwYPCUNr0LHqR0Pp0b2HhY9DaMzZ7LoXUVpWgp+3P1Kp1Or5dEZNU4iycyej\ntKyErif30HDepxIIStpLYXEB7q4e5nZ96ukROBTnb8+zfdsXkJuFpFsQA1Uv0y2w8Vm0fV96my2X\nL7LgXlrdc9kpSicKl7yOq4tYlKEtLH9zMv+8/y2OCZNx1nelkiKKQg/wy3eW0adv9a0E7+6P9FXq\nKg4fOYb+qBq/3q5MmDS2blB4mjEYDOzeeogbMeVU5MtwD1EzYfFAVP1CHr+zGfLy8vj6k6NU3fBB\nVuaOJPgcQxZ4MrRvVPsm/pQjys6dTJNx5zYD8u6Y7gD0K8zhXMwN+gYPt6mcbUnTHUf6D/lFPZtS\n0fg+DgykauJR/nn//3DJu0GVozsVbssZM3yymFHaRk33SE9efn0VZxNOk3v7AooCB156fgFyndzk\nVsL1jDT2f5WEX9Z0lDhxmfvEfLuOZa9Npfyqt1WPw9qajd9tRX9wPC4Gr+onAW7AtjMxjH1Viyqk\nf4ti6fV6Pn//QL1Z1KQMIfnDVHLHxjFt5cgOO67OrgFRdrao747WOPTowXWfAPqYGYCvunel/9je\nuLvaVs6dXTOQbnirPqp73djkJVvKufNoJMzsFwmYP6/equoruy9XJ9Aja0md3QkvHK+t5OCeTSxb\nucQGjsM6mtz8bEo2BOBt8Kpn9304lsTYbYyd079Fsb4/FEOXG9Pq9S8H8KgM5V7uNps69s6gaQpR\ns+lkODu5kDN2Jg3n7KqB9LDpouQseOJIvpSM4soIE7sECUWJnlRUVj+7bTAYSEpM4ljsIR4+fNDR\naVqF8+cv4FU00uy2wjSFWXtT5GYU49hgIK+l8mHL/QkaR5SdO6EmbPrHfPXQYDLbuVufTx97rm35\nuIRGaMy9zkwqxF7by3QHgFIX0mPLycvPY++3cThej8BJF8pnG8/iEZHH4hULkEgkNnEcltBUZNsB\nlShqJr8Zo0ff4mYqMuypogQ7k1Y2oNdrm7zV0tycnxYNiLKzRX1bR6Ng7gf/ICP+z2Q636SXfy/C\nXNxFOVRonkjNsz2G8Nctp/DLmWKiV/S5i2r8CL5cfRj/1GV19q5F46g6XMTxPntZ9OIMmzgOS2hm\nrRrHvzMP0vXW7Hp2PXr8R6rr9M2NNb/PeP50chtdry2pt61McZcBUzxs6tg7g6YpRNm5E+Pi6EZo\nSDhuYtatwAqkp6fz1Qfb+fbjaL78YBs3MzMtEsfZyYXgmWpK5dn17AXOlxmx0I+4+Fhcr0w22c/O\n4Eb6CbVFcrIEWq2WKymXyLiV3ux97JT2jH/Nj2y//ehrOoSVS+6TP+wblr0+tcU5KOQKlv/PCO6p\nNvJAcZVS8sgN2Iffy4lERY1vsT9B44iys9AIjdC0WHP+wjkS/qPGt2gergAXYN3hE0T88AFepaa1\ntrbmM2nMLI7pjnL14FlkUjn2XhoGRfVgUK/RrNuzG+dG7lNW5Cpa3ce6IzXbvjzGvZuFOGSFoZOX\nouuziQGqcEYT0ug+tbbQyAi6/r6A40f2UpAmIXi0C5ERz1OZJaWyFfm4EsT0cUFULU+lsCid/iFR\nONg52vw5tDUNiLKzRX0LjdDYokan16EMKMHZ0QWZTNausbxCDST9OQvfovn17H4F40j4fis/eHMI\n3irT1arbelyLVBPIjzLVhD0bQHziDdzVvU38ufRqeem1ozVnT1+g+IIv3cprriy1QMogEou2Mfnn\n3fJmZr4AACAASURBVHBydH6sH2886D3c/HKOrc85tJ38PL2aphBNNgSCJwi9Xs+6v+8i/ZAEWakn\nUp8HBD8r49nImYDpgNga0m6kIk0ZYD7+5b5k52fiQ6DZ7ZZgoGow50d8gz42ECmPljwscrjOkFm+\nTexpG5zbfRuPctOlRLtmz2Tf1kMsXDXDClkJLI0oOwuN0HQyTdrxUvbsPUZVMbh3tSNIOh5QALBx\n7TYkh6YSQM3VUjHk3XjIN+d38cIv5rRLPpqeUgwYTMWAAT058RK6+bT8uNry/V7y/Hy2SrdQlOIM\nRa7Iu+ejGt+FQb2ibL7sXHJLjrnVqOUoyUvRN9o/3FL5CE37aECUnS3qW2iEpiM1FxMuc3Dvdbre\nm44cJfkUcyV4I6/NmYSTkyOFSe744Vxvf0c8KbgrxyWoEns7+0Z9Nzcfr9C+HF2/DS6ZliXlA28w\ndMp8K3y/nfnl4CWoNWqyLpYRNNS93tKJlozfVo1rLy2kmW7XUoVvf2m9fW0lZ6Fpe9lZzHYWCGyE\nyqpKvj92kM3fRJORkVFn1+l0nNm3jqOf/T/Wv3uU7vfmIq9ZvcoeV3qkr2TTX09w/fp1HPP6mfWt\nyA0ip5G2pC1FIpEw/oeB5Pocq7sCNmAg1+97nn2pt8mgZwnUGjXRWw+w5k+72bpxB3ez7wKgVChx\ndfLokBzai4hZvXjgmGxizw6IZvqCCVbISNARiLKz0AiNDWjiEy5wemMWvjnPocSRDV8lYBexnnD/\nZyj/n2UsunGGFJzwxfSPNMDD8x4YnnOn3PE2ruXdTLZXOmZD/gjyS9sn5+AuQ3F4K4vYwzsovCHH\nva+W2ZMi8HPtZvFzWFD8gLV/24vv9XnY4YwMA2tOxjBwaQajR49pk+/cB9nk5N4hsEcfii+adouz\nxGehl9sQvCJOcjdzG4pboegUZUj7ZjI8ZAilNx0pbaafzqKJ33eH69+cpSJHicRBg4dbF2a/MM6m\ncxZl51ZqLOlbaISmtRq9Xo8yoBgJEs7+Vzbdc+bWbfOpGELV8T4c8l3JsFz4nBXcIQtPzD9SI9M5\nEDTEA6eRcRiOjqzXm1ePDreh+QQOcTXZry3H5a3qTlhU90Z7MrdnLGO2bjtKd6PG/xIkdC0ex6W9\ne5iyspzuOLbYd3FxMQcTdqP7LgjHkkDivBNwGXSfn724oG62eHsfh7Ft9g/G0CVET+adDBwdPPDz\nHtHh5/XynViSD+WhKZAjddIweYSKAYP6NblfS2NdT0vn7NFr+OfOr7vPXSK/y/4eO1j12txG92tN\nLFvQNIWY7SzoMDRaDUdSvsCu4CYSuQZDlSd+mml4q0z79j7JGAwGjv/7j0j2bMGvKItbMmccChaj\nZ3q92brF3EGbO59CViBBghdlZHCAUOab+LTrk4eH2xh++LsZ/Eu7Ds25QXhUqih0voTdyBQWLTGd\nTdtZyU9U0NXMzG3vO5M4vO8oo1RTW+zzy/d20+XcsroB3SXfD/WRcr79bCcvvmF6vi2BVColqIfp\n41Idwd7d+3i4sx8u6tF1tj0pZyl9J56Ro5u4fGshB/6ThH9u/fPprP3/7J13fFTXmfe/0zWjXka9\n95Gookggeu8G0zEY24mT2LGTbNpuqte7eeNsirOp3sSJ7bgXehWiI7qoAiSEBJJQ713T575/CEsM\nM6ghCQHz+2c+99zfec5z7tx7zz3Pec7zBFG8VU3Figr8/fz7ra2hDsfg68Cg4fMDrzNrvQi5onMG\nduHkx2TfFJFwVxrExx2H3n6d+f/4b3wsljsl9bTyW36ODjf+1MGrJpsENnQcy3FGjBMN3MSDqI7y\nWpcLpK4NBsDdzZ0fvLmBs+l51BgOM29YLBHh622WfgYDxSW3uV1UgiYxHvDqN7kWo/31XDEyDFpj\nr+UVFBZgOKuxyeQjR0XJMRnGbxqRSWV90vVRQGtbC4WHRAQZwq3KveuSyfhoU78OvnU5UgLtlKsb\nUjmWvpNVG5b0W1tDHY7B14FBwbX8TBJT2pAr3K3KkyZ6cnj77idm8DUYDTinf3bXwNsOZ2ASWzjD\nf6HEEx1NKO0MWLEsJJddlMl+j1/MLJyDzYxPimbyjCQrXkRIDOM1MQPZlfuioamOf31vL4Zzcaha\nYznscxmXkVW8+ktbE25f4KUxQZltebXncZbNSYGa3snLv3ELt1b7mYGoUdPU3IC3p9r++ccAJzPO\noK6ZYvdcW643La3NuDjbJlroC8RS+1vULJiQyR/83niU4PB2dmBQUFRxgbAId7vnJE71g6zNw0Nl\ndRlRJfZj906kjCbOdxybbBJHtiOYZGLmiPmP95fy6i+XMzxx5IDo2ld8+vfduB1dh7p1LM744Fcz\nHdnBRXzw1+39In/Oc8OpCkq3KmuVlRK2rA5fte9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o8+dIw9sk1yaQMiGlIzvT0L03HZyH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\n007O+/txlqpIi1pDbbHc6r042s6rgzM4j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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_tree_interactive(X, y);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Notice that at each increase in depth, every node is split in two **except** those nodes which contain only a single class.\n",
+ "The result is a very fast **non-parametric** classification, and can be extremely useful in practice.\n",
+ "\n",
+ "**Question: Do you see any problems with this?**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Decision Trees and over-fitting\n",
+ "\n",
+ "One issue with decision trees is that it is very easy to create trees which **over-fit** the data. That is, they are flexible enough that they can learn the structure of the noise in the data rather than the signal! For example, take a look at two trees built on two subsets of this dataset:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "metrics.accuracy_score(ypred, ytest)"
- ],
- "language": "python",
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 15,
- "text": [
- "0.82666666666666666"
- ]
- }
- ],
- "prompt_number": 15
+ "output_type": "display_data"
},
{
- "cell_type": "markdown",
+ "data": {
+ "image/png": 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PT2dJRgaONL2JOOjpycCFC5GfOQPtVwZ7SF8SwP7cudYJbmbIudc5lu5fOMIx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\nhBBuJoOvEEII4WYy+AohhBBu9v9v1eBFzwLkBQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "and for good measure, plot the confusion matrix:"
- ]
+ "output_type": "display_data"
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n",
- " interpolation='nearest', cmap=plt.cm.binary)\n",
- "plt.grid(False)\n",
- "plt.colorbar()\n",
- "plt.xlabel(\"predicted label\")\n",
- "plt.ylabel(\"true label\");"
- ],
- "language": "python",
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 16
+ "output_type": "display_data"
},
{
- "cell_type": "markdown",
+ "data": {
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3ejVZf/sbMW0WFzkYFMSg55830hoMBhBPtgJBj0JM4bFSEw1EL1jQXDZhAhQW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\n8GckLhYEQ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+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "### Exercise\n",
- "1. Repeat this classification task with ``sklearn.ensemble.RandomForestClassifier``. How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n",
- "2. Try this classification with ``sklearn.svm.SVC``, adjusting ``kernel``, ``C``, and ``gamma``. Which classifier performs optimally?\n",
- "3. Try a few sets of parameters for each model and check the F1 score (``sklearn.metrics.f1_score``) on your results. What's the best F1 score you can reach?"
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.tree import DecisionTreeClassifier\n",
+ "clf = DecisionTreeClassifier()\n",
+ "\n",
+ "plt.figure()\n",
+ "visualize_tree(clf, X[:200], y[:200], boundaries=False)\n",
+ "plt.figure()\n",
+ "visualize_tree(clf, X[-200:], y[-200:], boundaries=False)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The details of the classifications are completely different! That is an indication of **over-fitting**: when you predict the value for a new point, the result is more reflective of the noise in the model rather than the signal."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Ensembles of Estimators: Random Forests\n",
+ "\n",
+ "One possible way to address over-fitting is to use an **Ensemble Method**: this is a meta-estimator which essentially averages the results of many individual estimators which over-fit the data. Somewhat surprisingly, the resulting estimates are much more robust and accurate than the individual estimates which make them up!\n",
+ "\n",
+ "One of the most common ensemble methods is the **Random Forest**, in which the ensemble is made up of many decision trees which are in some way perturbed.\n",
+ "\n",
+ "There are volumes of theory and precedent about how to randomize these trees, but as an example, let's imagine an ensemble of estimators fit on subsets of the data. We can get an idea of what these might look like as follows:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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/E659xaT8VtgqXlxi/vNqMBjuaS/n0hs6FM3M/1cXtN+fgt3bD3Hx/7zxqp5X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\nAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def fit_randomized_tree(random_state=0):\n",
+ " X, y = make_blobs(n_samples=300, centers=4,\n",
+ " random_state=0, cluster_std=2.0)\n",
+ " clf = DecisionTreeClassifier(max_depth=15)\n",
+ " \n",
+ " rng = np.random.RandomState(random_state)\n",
+ " i = np.arange(len(y))\n",
+ " rng.shuffle(i)\n",
+ " visualize_tree(clf, X[i[:250]], y[i[:250]], boundaries=False,\n",
+ " xlim=(X[:, 0].min(), X[:, 0].max()),\n",
+ " ylim=(X[:, 1].min(), X[:, 1].max()))\n",
+ " \n",
+ "from IPython.html.widgets import interact\n",
+ "interact(fit_randomized_tree, random_state=[0, 100]);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "See how the details of the model change as a function of the sample, while the larger characteristics remain the same!\n",
+ "The random forest classifier will do something similar to this, but use a combined version of all these trees to arrive at a final answer:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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z4LPPUBtfzTcQVVnJtYYF6WXNXE3KKyra1K+1GTNuHMkrVnDdwaGp7bZCwdGF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\nHOUdDyZE9OOR8SnHsdd/wYI3fomPIACQTjOr+B0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q9u3fxcIFy3rpOXAs/tf/xUEXFyw7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M2WtZkBXPWTaVdcxjs6qKdtqPCJ4YbE3Dt3joeJ0VZvMA98fQltaSHc1VLy7v/mae1NdKi2kqIi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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.ensemble import RandomForestClassifier\n",
+ "clf = RandomForestClassifier(n_estimators=100, random_state=0)\n",
+ "visualize_tree(clf, X, y, boundaries=False);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "By averaging over 100 randomly perturbed models, we end up with an overall model which is a much better fit to our data!\n",
+ "\n",
+ "*(Note: above we randomized the model through sub-sampling... Random Forests use more sophisticated means of randomization, which you can read about in, e.g. the [scikit-learn documentation](http://scikit-learn.org/stable/modules/ensemble.html#forest)*)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Quick Example: Moving to Regression\n",
+ "\n",
+ "Above we were considering random forests within the context of classification.\n",
+ "Random forests can also be made to work in the case of regression (that is, continuous rather than categorical variables). The estimator to use for this is ``sklearn.ensemble.RandomForestRegressor``.\n",
+ "\n",
+ "Let's quickly demonstrate how this can be used:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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fo1//8b916PDkzM+mCiVdN7RHn7/gffrkh98xr9d3P/+/vXzYczrgby8f1oVl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\ngg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.ensemble import RandomForestRegressor\n",
+ "\n",
+ "x = 10 * np.random.rand(100)\n",
+ "\n",
+ "def model(x, sigma=0.3):\n",
+ " fast_oscillation = np.sin(5 * x)\n",
+ " slow_oscillation = np.sin(0.5 * x)\n",
+ " noise = sigma * np.random.randn(len(x))\n",
+ "\n",
+ " return slow_oscillation + fast_oscillation + noise\n",
+ "\n",
+ "y = model(x)\n",
+ "plt.errorbar(x, y, 0.3, fmt='o');"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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VcVv7fANkM1k6ANVgnNE+qt0OgBSN0tLSRlfXLvr6+qirqy/jSgWz4bZrT6v2EgSCaanN\nu/1bjN7eHpLJBEuXLp3SXQ2jTTckScLe0EYumyIZDdbkBCRVVYlHhjBZHDgf+xOudWdivev7AGRO\nXMPQC6+Sfs/7p5ywc9EHTuPNzmPx13noc7VhqPOSzSTJpuOTrlVxak5tOTRc8Wvs7e0BJUc7gGFm\nz61FQY7FaGvT3Nx9fUfOmMm3A9LgoJZ4WMXcBIFgOoQgV4BC16bFi5dMu83Yma3Weq0NZXxkoCYn\nIIVCw+QyKSyORvTbtwGQvPwKIt+7k9Djz5Jbtry47cQJO+vWtHPrZ07FoNe+eiabJrrpeGjStaou\n7W/ScOUFub+/DymXm52FbNMEWY5FaG5uQZblI1aQFUUhkajdLP+54rpkHda778T84P2H31ggqDDC\nZV0BursPIkkS7e2HztZdt6ad1Usa+dcfKwT26Lhkta0mJyANDAwAYK1rRO7ZAEDsK9ejzKA8CDSR\nrrMaySkKOZebkT6Zj57bMulalXytdqUs5EIZ2q3XnEpPTw82ScIJBGaYUFYQZCkaxWAw4PF48fkG\nyOVy6HS6ci275GzbtpX1658hGo3Q1tbOpZe+9y3jdtcdPACMxvsFglpCWMhlJpPJ0N/fR3NzCyaT\n6bDbu50W7DYr9Q1eIiMBksnJs3erzeDe3XQM7OWc/W+if3MTqiyjjCl/mik6WcbV4MWgk0nGJotu\nwUI2/e5/573m2RCJhIlGI3TodFrge4yY/vTGC6aPQ1ry1n3+M2tubiGXyx1RDUJ27NjOn//8R9Lp\nFO3tHfT29vDAA79861nLuVy1VyAQTEIIcpnp7e0hl8sVWy/OFIerBUVR6O4+WKaVzZ2RXz3Imp0b\n+L9P/zf6rl3kFiycc1mSwWTBYLLi8/km/S2Xf88Mr22EbHY+S54VBQ9Am04GoxGmiftPRM2/B1Im\nA2jd1wAGBwfKsMrSE41GeeKJxzAajfzjP17FFVdcxamnnk44HObpp5+s9vJKipRJV3sJAsEkhCCX\nmYKgdnZOL8hSNILt325A8o+WN9mc2s28FptL+IeC1APZG28ifNe9hO+fnwVrsTcQiYSJxWLjXlcW\nLCTXuUD7Ryo1r3PMhsFB7eGgWZVQ9bN40Cg8lBQFuXnc8WqdF174G8lkkjPPPLv4MHH66WfS3NzC\ntm1b8PmOjAeLGZGp3AOeQDBThCCXmZ6ebiRJoq2tY9ptLHfdifWHP6D+Y1cUX7M6GpFlWcv2rSES\niQSRZAIvkH7XpaQu+z/kpqmtnikWRwPAlDf87DHHASClKue6LwqyBBhnLsiF5K+C9eV2e5BleUrr\nv9aIRiNs2bIZl8vF8cefWHxdlmXOPPNsAF566cXpdj/iEBayoBYRSV1lRFEUBgb6cbs94+LHhQlI\nhf9fkHfHGl55GdcpJ/CdkSS7O1bxylWX4vMNkMlkMFShU9VUBAJ+pFwOLzPPPj4cVnsDMMzgoG9S\nJrpqyotcOk2lZicNDvqw2x3Ys9nZXWOhPCpvfRkMBhob3QwO+lAUBVmu3eff119/jVwux8knnzJp\nnQsXLqKpqZmurl1EoxHs+Y5kRzR5L4ZAUEvU7h3iLUAgECCTydDS0lp8baoJSD37Ri1DKRrFHRrk\nzDeepM3rJZfLMTDQX43lT4nfPwi5HE2gxVdLwKEsZEzalCUqlNyWzaQIh8N4vV4tFjyLB6GJFjJo\nbut0Os1wFUq3ZoqqqmzbtgWj0cjKlUdP+rskSRx33GoURWHr1q1VWGGJGDPpRBKCLKhBak6Qp5qC\ndKQyMKD1Mm5p0TKQA6EET//2byzv3cGKvh0c072FE/a+xsiWndrf3+xiaEsXr6zSxg92WKwANeW2\nDgT8ULCQSyTIBpMVs9miif0EVKPmWZDSlXExJiJDGF5+ic6Hf4ccCMwuWa3wfqTHCrIWi62V+OtU\nv6+enm5GRkZYvvwojNN8pitXHo1er2fbtsktUo8YxoqwEGRBDVJTLusv3/0iw5EkLoe52kspCf39\nmmXb3KxZyFte2s6PfnoNugkTkAAUWYfq1no6R2xa/W1HPn5ZS4ldfr8fWVFwA6ESCbIkSXi9Xrq7\nD05yz6vmvKu/Qkld1t6dGP+2ngWAxGim90woJoCNyQgvJHb5fAOsWjXZ+qwFtub7kB9qfWazmc7O\nBezdu4dQaBin0zXttrWKlB7zHRIxZEENUlOC/Fajv78v3yBCawfp6D+ITlXY1noUW9uORlIV3NEg\nkqpifudZLM7Xu4ZtWhMGRzyOy+Wir693Uq/naqCqKoGAH48so6d0MWQAj8fDwYMHCAT841z8FCzk\nCiV1KUOaV6P+H65g6LOfI7dw0cx3zj9AjbXmPflRjLViIU9EURS6unZhtzvoLGS0T8OyZcvZu3cP\nu3d3sXbtyRVaYQkZ87kIl7WgFhGCXCbS6TSBgJ/W1rZikswxVu0m8MLy0/jjie8pbitJcMunTy3+\nu2AhW39wB4t1Ol7v6CQYDOLOW9DVIhIJk0ql8BaSfkqYaOZ2aw8tfv/gOEEuuMUr5bLOjPgxAPVH\nH03qqJWz2nfUQh692ZtMJpxOZ802B+nv7yORiLN69QmHTTpbsmQpwBEryOO+Q0KQBTWIEOQy4fMN\noCjK6LxgoD6mDbwfsTqLr0kSk3o4d3sXoSBhfOFvLAa2LF6Sz9auriAXYrxN5JtgzDBreCYTdgqW\nZCAwYdSkuXJJXUouRyY6pCWs5dczK6Z5ePB4vPkM5Sj2/ACKWmHv3j3AofusF7DbHbS0tNLT000y\nmcRsPsJCS2PCHsJCFtQiQpBLRCFRpiA+hfjxWGtPzgvaZZefxis7tLf+po+fNGl4xLXf/jhDX3g3\nUjRC8/lnIQ8P4/P1c8wxx5b9Og6F369ZeR4kmKe7eqJIp9NpJElicHB8YlelkroCoQShUBBjMkEz\noDQ0zvoY6oTGIAXcbg9dXbsIBPw1Kcg6nY4FCxbOaPtFixbT399HT0/3tLO9a5VxIixiyIIapOay\nrN8qFJtLNDcXX5PzcUTH4s5xE5CmQvV4UBYtxr14CbrQMAN9feVf9GEoWK9NqoI6i4YZM8FoNOJ0\nOvH7/ahjylNUU/ljyIVStNBwAH1aE+SXB+fQ63hC68wCY93xtUQ0GsHnG6Cjo3Pa7OqJFFrAHswP\naZiKmq2UGGchi05dgtpDCHKZGBz05UVmNBtVt7sLVZa13s8zRF6xkiZVZejJv6Aok7OzK4nfP4jB\nYMCVzRYt11Li8XhJJOLEYtHRF03lzbIOhBI88NQuVBVSsRCGXJZm4HdvBAiEZjlQoSBqmckua6Dm\n4sgHD2ptXRcsmHniWltbO3q9viZ7rB+Ocd25hIUsqEFqVpDj8TiPPPIwd9/9A371qwcIBoPVXtKM\nyWazDA0F8Xi8SJKENBLC8v3vod+6RRPjWcTekh+6nFYgN9Bf1Rt6LpdjaCjI+i1hQkPRkjUFGUvB\nkhzrth61kMsjyK/u9Bf7RaTiwxgUrcY6oTfx6k7/IfedSCGpS0qPt5BdLhc6na7mLOSeHk1UOzqm\nb+s6Eb1eT2trG4ODviNvAlRKZFkLapuaFORcJs1DD93P9u1bUVWVAwf2c999P685C2M6gsEAiqLg\n9XqR+/toXH0U9m99AzkSJnvi2lkdK9fRSStALovPV72OXUNDQ+RyOcw2J/pcdjReWkKmsiQLgky6\nvHXIqqqSioVoBIxAyjAHD4BxcpY1gE6no7HRXfxe1Ard3d0YjcZirfRM6ejoRFXVKevjC70EahH9\njm3F/+/ad2TcSwRvL2pSkHv3bCQQ8HPCCSdy7bXXcfHF7yKVSvHww78jdwTMMS3Ej73eJvRvvI4U\nj6PqdAz/+Ukit/9gdgczmWgFpGx1W2gW4scWmxN9NjPqSi4hhXrtcZZkvnWmlCyPIK9d4UGSIJuK\nkcumtQxrIG0wsXaFZ1bHKrbOnCIBze32kMlkCIVqo4VmLBYjGAzQ2tqGbsy855nwy/V+nnylu6Y6\nyB0O3dYtOL78+eK/9TkRQxbUHjUnyMnoEEP9u/F4vJx77vlIksSxx67m+ONPIBgMsGnT69Ve4mEp\nCLLH40WKRgCI3vqfZE96x+gQ+xmimsx4AZ2SK87prQYFQR61kEvvsnY6XRgMhvGCrM+LRZluoG6n\nhSvOW04qrpWktaCSkfVcfuGqaRPupsUwuVNXgVqLIxes29nO6QawOhpAkujvr36i4Uyx/PiHAGRO\n0CZZ6RQhyILao6YEOacoBHu2kckprF5z+rgn99NPPwuTycSGDS+SreCw+rkwODiIJEmaIEc0QVYd\nc5yQYzahBzyyjN8/SC6Xq0oWq98/iBSPc1JfF4ZselZjCWeKLMu43R6CwUDRE6LqtPIwqYyf+bo1\n7XxsXSsGvUy7qiDbbaxb0z77A+l0qLI8pYXs8Wg15NWMIxemjCVSWbbu2A3MTZB1eiNmm5OBgf6a\ncsEfCimuzdoO//wBkgYzS3t2YHrwvtrNCBe8LZmXIG/atImrrrqqJAt5+Pm9+IPDRIZ60Jmd/Nej\nfTy9cdQlZrPZOO6444nFouzcuaMk5ywHqqri9w/S0NCAwWBAimoZw+oc608L2cytso5sNju5cUaF\nCAT8uB7/M1/7zbfRK1lUR11ZzuN2e/IJZEPaC4WHsjKHKlLxEAadTLuSBZtt7gcyGJAPHsD6n7ch\njykN8ni8PPlKN3fc/0IJVjt7Jk4Zu+tXz3FgMD6ucc1ssDoayWQy+P3V+T7OlkLIQ7VY2LRc6zJm\n/s2vq7kkgWAScxbkn/zkJ9x4441kSpCt+PDz+3j4+f2E/ftRVRVn01JA4oGndo0rPTnxxDVIksQb\nb7w273OWi3B4hGQyiderRSOlmGYhK/Y5CpjBgCpJtOb7WFcjjpxOpwmFQjQlkqT0Jh46/5NEb76l\nLOcqxJGLDx76fO+aMgvy4KAPvdFMQyaFOsuwwliUpmZ0/X3YvvPNcTFLu92BTm8kEat8DHlsaReA\nksuQioXY5VMJRef2+7XVaRZ/f39vqZZZVgp17KrJzA8vu56MzlD8bQoEtcKcBXnBggXcdddd815A\nIJTg4ef3oaoqYf8+ZJ0ee6PmRlNVxpWe1Nc76excQG9vDyMjoXmfuxwULIZCzHDeLmtJArOZFjTX\nYCE+XUmKDUFyWWIWB4+f/iFyy1eU5VyF963g2lVlzUKWyijIyWSSkZERLHYXpmwa1Tp3Czn0pycI\n/fYRMscdj/HZp5EiYUCbaGW2OUklIhUPuYwt7QKt3lpVVUy2hlmXdhWw5gW5rwYa1syIQhghn4yY\nNFqK3iuBoFaYsyCff/75s87OnIrCDSGdCJNORLA5W9Dpp49PHpVv+L9jR+24rcfG5nbv09zshZpa\neZ4ua9Dc1k05FVmW8fmqJ8jeTIb0XMqBZsFEQR5N6iqfIBceciw2F9ZUfNaJd2NRmlvInHk22bUn\nAaDbv6/4N7PNCapa9Zr6ZN5KN9vmPkLRbK3HaDRWNfN/NkjJ5Lj+60mTEGRB7VHRXtYez2Qr0W7X\nbvCxYc31ZW8YTaaRgAtOW4SnwVp87bTT1vLii+vp69uHx3N+OZc7I/70/F5+/Ic3UfIWyJ2/2sCy\nxgQrViykocEBac3l3rioFRpHr//n/3bhzE9iMWPOZVi0qINgMIgsqUiyPOX7OdVr8yWdjmKzmWjJ\npEnbneh0UlnOo+GgudlNIhHWzuHWXP1Wo4y1TOfcs0e7vlN92qAFQ539kNc3o2s/RntwdAX7wXMG\nALY6J0MDEooSH3eMT9z8BAA/vfGCuV7CIbngtEX8Zv3u4nc0FdPi8xa7a9LvaybodBLodCxZsICe\nnh6cTvOYGdYqKpDKZFF0OppmeeyxlPQ7pmTBbOZr92xgOJoiabKiiw1p11Lqcx1BvF2vu1aZtyCP\n7Tt8OPz+yTGbo9rqkCSIDvUiSRI252iSyXvOWIicSjH0zOtI+bKX3KLFeDytdHXtoavrYFUHpQdC\nCe79w5sT3IEjvBaMMBDIkMtFqPcPYQT8SWCK658JDUYTxBNYrU727DlAjBEsduek99PjcUz5Hs+X\n3bsPEIul8CQSHHSZyeXUspyngMVSx759e+nu9mMPJ3EB8WiCWJnOuXPnPmKxFCeMaCVJsbWnEJ/m\nXDN9j42ldtE/AAAgAElEQVTuVuqB6ObtJM7Rtjea61EVlV279tPSMtquMpfTvkDlek9l4B/PW16M\nIyejQ+j0ej7y7jXIudysz1tYr8VSRySSYPv2vbS0tPL0xh6CYS15KprI8qlvP8kV5y2fU8Z6qb/L\nrlgc2WjU1q6qJIwWVH+EXFYBSSrr97lWKdf9QjDKbB945l32JOWTjeaK22nhA2e0k4wGsTg86PIu\n0feesYj3L7XgOv9sGtadgeuCc3BdcA7OSy8szmXdt2/vpONVsoxhYmxOVRXSiTBGSx0bd2k3d9nv\nQ3E659VqUjUakZJJvF7NnZuIDk253SdufqIs1x4IBHA66jDlciR0RhKp7Oz7PM+CsW7rYtlTGV3W\nhR7dTVktzpi69H3zPqaS/6zk4GjdsSk/57oamfLr1rRzy6dPxawHNR3lw5es5fyTZl/yNJZC4uLg\noK+YODYWVWVSYmY1+PLdLzI0OIJqGm1ZmzRZkRQFY6a8HeAEgtkwL0Fua2vjoYcemvciFrkynLem\nncamDiTAaTfy3jMWYfnJPei3vknqoncRv+Y6skuWot+xncWuBgD2j4nP1QKZZBRFyWG01Bdfkwd9\nKN6mQ+w1A0xmSKeLLQ6nE+RyEI1GicdjBIY1D0VcZySeyvLVezaMK0srJePiyIU8hWx5BDmXyxEI\n+HG7PTiSWq2qUu88zF6HR8l/R+Wh0XixwWhGb7RUrXTN7bRAJoJeJ7F00fj+1fq/v4zr7FNxnXoi\nrrNPwfDC3w57vML3cXDQN+nhtMDExMxqYchlUE0mcoqCqkJMr4mzJRWv8spKh6ipPvKp6jxkye/H\n8oufMbh9G/W+Aa6NmTjrwK2YchnsdxuQwmFUvZ7w3T8Gux0MBvR33o67+yANDQ0cOLCfXC5XkuSy\nubB2hYf/Xb+7eCNKJ7SMWpO1Tmu7mE4jDw2RXXXMvM6jmk1IyQTNSg5JkkhEKifIgYCfeDJL137N\ntZXSax6MgvWzeknj7DtaHYZRQfZDff7hRimPIAeDQXK5HF5vE9a8IKv19YfZ6/Cojdo8ZWl4/Gdl\nttUzMjJCOp2e8cjDUhLPf3eamsbXH5t/92v027eiOJ3IoRCmP/6ezOlnTtq/kMAIoOpsxUTD4XDr\npG1rCUM2TVSRCUU1L0gkL8j68DA4Gqq5NIGgSFU7dZkfuh/bLd9i4I+/x/HyBt6/ZT2u2DARaz1K\nQyO5hYtIfOazmhijxY8B5P4+Fi1aTDqdrmo/3ULbxYLXPhUfQZLgg+etpmlgP3VXfxwYdV/OFdVi\nRUqnaVl7HJ6+PhLRoVnF7udDIOCnLxijLi/EKf2oiJTL+mlsbETOdyYrlD1N1Y6yFIz2HfdiTUZI\n642zmsY1HaqjDlWvRx6aKMia9R0MVqeFZsG7Mm6gRDqN+ec/RZVlhl7YCIB+21ast9+K/ctfQJ+v\n+5/YXOSGn75CIKZnf3cvr3dN34Fstj3By4Ehm8afHP3NdDUvA+Cah7/H5+7/V+o+fBmmP/y2WssT\nCIAqW8hyeIQI0HfehSxafTzfHvayzdKE0ePmtmtPm7R9oXRIikZZtPYkNm58lQMH9tPZuaDCKx9l\n3Zp2Vi9p5Kb/foWhTJTz1nRw6dnHYP7eLZgefQSA7JqT5nWO+Je+hupqwPTIH+h89WVyzWtIJypT\nslGoq3YaNJGa0xSkWaLT6WhoaCQQ8KPmy1TKFUMeOwhkYd9uRuwlShKUJFSnC7m/D8Pf/gqAZ8hP\n0OYEYgQCflpaKm9VJiJDyDo9jXkLHsD06CNIioLi8aJ6PCgeL4aXN2B4eQOgTUna/cs/jGsuAtoD\n2ebuNE2mYTLuKEbL5OY3Jy5zl9yDMhf02QwZ3ejD5Ial7+Cq5+9j6eBeGNwLXWB84XnSZ78T1SUs\nZkF1qG4v60ScA4DS2krrOevY3Xk0MfP09bpqvqWhFI3S2tqOJElTjoCrNG6nBYtJj5KOUu+wUF/v\nRHdAa5sYfGUziU9dM6/jZ047g/BPf4HidtMUiZLJKQwPDVYkWSYQ8NPhraM+L4wFlzVoPUvKZf14\nPF7S6TQjiXyMr4wWsiRJdPz+N8ioOBa0lezYSlMzut4enB+8FOcHL+WbP7wGk6ojnsxWpeVkNpsl\nGQthsbuQ5dGfvnxgPwDxz38RgMwp2sNw9uhjyXUuxPDyBrY9v3nKGLHJ6iIcS5OcJq9hafv84/Hz\nRc7l0KkKmXyCYDI6xJZ9r3HaSe/n9Hd9iQ9e80v+eMK7keIx9Fu3VHm1grczVRVkKZHgAIDBQGfn\n4TM+VbuWQi7FIpjNZjweL/39fTUxbEJVFJLxERrrneh37kC3dzeq1YZSQus9rrfgCEXIZBVGQoGy\nJlaBVtIWCPhpb23iQ53aVyXg0Do0SRJccd7yslk/xTjycL7V5BxiyIdLclFVlcHBQVwuF86f/wyA\n6M3fnf1ipyHyH3cQ+8r1vHnlZ9nathJzJkVLeISnNnbz3Ku7Dn+AEuP3D6KqChb7eAtQl2/ukT7l\ndADCP/45wU07GH5iPfHrtPafp99xA8v6J6/ZZHNSZzWSjk/unFfOB7bZcM7GRwFI640kIgG6tzxF\nfMRHDvAHu+nq2sDufHfA+PapPxeRMCWoBNUV5HicXkBnNhdLKA6FYht1WQN0dHSQzWZroltQKhlF\nVXJ0PHQfDWe9A/2uneQWLIR5loUVCIQSDOZ0LMyXaSSjw2UvKwmFhslkMng8XlbHtfd4oHUJVpOe\nWz596twmIs0Qr1e7kftC2o1eypV+qlAkEiYVHqEpmUR3cD/ps985ZSLTXMmuOYmDn/wcNzSdx3Mr\ntOMuCA+iN1pZ/8rOipcD+Xza+E7LhCQmOd/9TSnElWUZpaUVDAZS7/8guc4FNG/+O7c/+BW+d/+X\nOWPn88V9zTYnK3u28qm/3M7n//J9APS5DJ2Bg3zktLaquqv1m9/Aue5MPvKo1uLXetRi+ne9gKoq\ntK44gyVr3ovDvYBkNMjfU1pCn+3uO6u2XoGgqjHkXCzGAOBpaZ1RpvTYGDJAW1sHGze+Sk9PD+3t\nHYfatez8n1/9O69076BVyZJbsJD0ueeRetd7Snb8V3f6OcFoZWEmhcFkIxUbzid2Sby6089F75hf\nTelUFGb3ut0edHu1LlbBloVYTPqy32iLFnKhbKgMXpDB3h4sP/4hSxOaMGaPOa7k5yiUA/W5tHhx\nS6gfY30zsVA/L77Zw3vOXFbyc46lYNXddu1pxXnaKyPDGNY/A4Dxyccx/elhVJ0O1e2etL9aV8/w\n+hex/OgudD/6Ict9XXz+L3dyxQat3NFllLhnoJsRYN3WZ/ntOR/hw0/cy+ldG8i+tILh518p6/Ud\nCtu3voHhzU0M2xv4zXkfp/GKM9H916+pa1uFo1G7XzQvOYlUdIht0SDDgKt3P8F9e1HyCaQCQSWp\nqiD7QsMoQEvHzNy6BZd1oT90e7tmofX0HAROLccSZ4ai0HBgC8h6XCtXEbnpW2Teua7kp0kYLVqc\n02xnaMRHNp3AYJp7a8LD4fcP8uQr3exOdnNhfphHzFKZVnt2uwOz2YK/UDZUhrKnwQP7kRIJPC2t\nJC66hMTHP1nycxQYyveNdsVDmFpWEAv1Ew4NjSsjCoQS5XvQSSQIrn+alQe38d2/3o/8wPg/J//h\nH4t9niei2h3Ev/Q1+NLXCP3gvzDdfhuOZBS7RY+clWjo6GSP1Upq5w7uvuvjxf0KD3HVQvb5UOwO\nvvClB8hl0rhfeglJb6ahbdXoNjoDjR3H0N+1ge8uO5VbujZgeuzPJK69roorPzRjH7IEby2qKsj9\nkTAq0DzDIenFpK6YJsh2uwOXy0VfXy+KooxLVKkkN9y5nguBoNOL8eHHyJShnefaFR78Ru1m7TRa\nGAJSsWGMZmvZ4nSFBhYWuwspHEax2VEqVPMtSRJer5fuvXtIQ1ksZH/ehdt44hqit9xe8uPDaK16\nON8spi4exmitR5IgGBzkq/dsKCZLffWeDXNuNXk4DPfcReRnP+ZcACRiX/wKGI2oegOpD/2D5qKe\nAbrrPssXdCcCo4JgfeYp0s88xcHOBcT2D5NSYM2+19Bns9qUpSrUWwNIkTCqU0sq6+veyd+79uDu\nXI1c6P4GqIDD3UmwZwu9x64gcWAj1v/4rvZwNo8hIwLBXKhqDLk3GgW9gZbWGZZ/WCyosjxuSktb\nWwfJZLKqg9JNmSSDgKQzUF+CLk9T4XZaaFukNXNwFmqC40PFxKpAKEE8mSlpW0u/349Ob8BgsiKH\nwyVpmDEbPB4PKuCnPGVPgz4fVsBhKZ+XoVCrHrFqnoX6xAhmm5MVHS6e3LB9UhlRuXICgvv2kgN6\nV57B9668mfhXbyD+hS+TuO7zMxbj6XC73ah1dRz86g3c8eF/59vvu55Ny08GRh+eq4E0MkLGZiea\nSOPr3oUk6aj3Lin+XQXMRh02s5Gvfeo9tCxu5pV3vxc5GsH44uE7lQkEpaaqgtwXj2E2GnGNqftz\nOczTu2IkCdXumCDIWpnKwEDfuDGIlUyYMabiBACHyTLv3t6HomWhlvjWarVg0Mt88BQP69a0Fxs2\nRBPZkrW1zGazDA0FMdtcSJKEFA6h1k2uMy0nHo8XZBkfQImTupLJJKHhYZqh7BbcujXtfOeaM4iY\nHTiTEW677nx0OolUPDxp23I1W/Hl8wHOuuE6PnZ7ad2xhVGjY1uCpoxa3boUi5X0XDNGUZAiYfZE\nJUaGA6QTYWyu1mKv/AKyJGEx6Tn9lLVIksSm/Hdct7urGqsWvM2pmiAnEgmGkklaLeaiiN127WmH\njYuodvs4QW5u1p7uH3/+zXFdhMpdEjSWXHSYHGA3zX2w/UxQG7QHlw41jcViIx4dKjb1L7WlFQwG\nUFUVi12b4SuFw6h1lbaQxwpyaV3Wg4M+JEWhBcBQfpeq22khaqunI3CQDn83Nnsd6fhI2c9bwJdP\njvMuWHSYLWdPY6OWDDbWS5XMh1eqJchDvX4kVSVqshEOaD0B6jwLp93ebrfT0dFJbzzOCJp1fSRR\nLWNEUFqqJsgDA/1I2Syts4zTqHY7Umx0ZJjH4yGdgyeef7Ni7r+JZMLazc52iKYmpSC3ULuZeof6\nsToaCIfDvLDpYFma+vu7upBiMRplHZ7hAa2TU4Ut5MZGN5IkMSBJc3ZZD0eSU9aPDg76IJejGVCN\nhsk7loFgvZY5bnzhOY5fuZBcNkk2kxy3Tblqd/tHQugA94KFJT+2yWSivr6+mJUPYy3k6rist76h\nDZ6JGS1EAgfQ6U1YneP7d0sSGA2jt8AVK45CNZvZDkjhI0eQJ7Y0raQxIigtVUvq8vl8kFNoNs9B\nkPOdhQBkWSaWs5KKH0DJZZB1ozfXgiiVoyRoLJl8lyJLmTOQc4u1+Ncpb65nX0ML8d4kstwIlLZ0\nxnL3D0jfdANW4D+AQkGZWqb4+HQYjUZcLhc+SULNZEp6bJ/PB0pOs5D1lRHkP515OcfsfQ1peJhF\nR63i2MWNhBIj6PNtScvVbEVRcgxGo7QYDOhK0Kd7KtxuD3v27CZr1B4wqm0hG2NaOKBb1pNNJ6jz\nLEKWxyckXnHech5/+WDx30uXLuMpk4ndwPFHiIV8KA9ZOQa/CMpL1Sxkv38QlBxNptndIFSbHSmV\ngjE3aFeDF1VVSMUmdwuqBIXzWqzltSCzi5eiWm0s6d3BB998FuPLG1jw6x9N2XtkPpaW/vWN+IDs\nkmXsX3kGLx99FskPfIjEJz89vwuYAx6Pl4QkEcmWVpAHB30YZZkGqFgWcKFkTBoJ4XZ7WNRSxycv\n7MBq0pe12UoqNoKSStJczuS1fBw5mf8tVFuQj7Nq35dd+R+H3TU+cc1pN056rx2OOtytbRwAcqHq\n3EtmS62PvRTMjqoKsklVcZpmN6xALXTrGuMKO2PNCiQJktHguG3L2bpvbCu9VGwEA/ChC0rfWGIc\ndjtDz/+dm//pe9z34W+ims0E4pFxE6dg/paW7B/EB5iv+hg/vfxGfnjZ9UR+9LN5D8mYC8U4cvLw\ng+THfiaFmJqqQk4ZnxCWyWQIBgN4HQ5kQNVXxlFU6NMuDw8X4665VASLSV/WZivxSBB5eJhmR/k8\nOIXrSebj4kVBjkam3aecuCLavWAPKpIkY3U2I0lgNeuRJdBNUyK5YMVKMkB3YHR61Vs5PitagtYW\nVRHkQgavN5dDMszOXTixWxfAyuWLOHZxI8nY+Ab35ey1XEBRFBKJMG4Aa3mTugCU9g52dx5Nz9K1\nmExmBpJJ1q1p55ZPn4rdUhpLK+4bIGo242luPvzGZcbj8YIkM5g6vCAXGBtTU4FQND0uphYI+FEU\nhSZH3qNRBQu5MGJybNy1XLRt01pdtpTRQvZ4Ri1kl8PMBy86GgApmTzUbmVD7u8jDrQubaC+wYvD\nZuWWT5+KxXjoh6+Fi5egGox0b3wVotGaj8+uXeEpuYdMUD2qIsjBYAClkFBTAkF2Ol2sXNTEBavr\nsJr0SEztkioH4T27OWH7C3gA1Vq+G95EJEmi2WJhKJ0mlUrhdlqwmg0lsbQCgz5Um63YvnIsM8mE\nLyVerxdkif5Mekbb5xRlUkwNxif4FUYuNuW/S2oFsqxBS3TKyjp0+/ZiffQRXCaTNmKyzLOt1WAv\nOsB50SVlO0dDQyOSJJGI5WOvhQYyZRqbOZFxll42i+3Wb7MXMLicNHo7Zvy76OjoRGc0shfIPPSr\nslQwlJKJM9mh/INfBOWjKoI8ODgIiqLVgM6y81Nx4tOYpAtJkmhpaSGTjGKQc0iHcEmVmvBftEky\nHrRxdZWk2WqFbLYoMCUhmcQfiaBabejNdVV31dXV1WOVdfSnZ2YhpzPKYWNqhSELzfnwB4YK5TZK\nEiFHI/o9u6n/5Edpf+JxkskkmVS8LKfTmsWkCUdDeAHlgovKch4Ag8GA0+nk3GPrufWaU6EQBqjC\nJDY5//nuB5SGBuzO8YNrDtXrwGAw0PDpaxkAQk88XXPx2anc5wUPWblzEQTlpypZ1lpCl0ITs7eQ\ns6s0V5j9puvJ5Wsq1fp6Wtadzz4gHg6CsXIDxoPd2jzmxy75Z45acVTFzgvQbLVBNsu/3v0Eno5V\n6HTzb0qi37IZHxCy1HHXnw4Uh86Xs63joZAkiWaDnj3ZLIlEAksJ2hkODg6i0+nw5I9VKQsZ4AeX\n/ytfWpLBdtt3aN28iR2RMO/N/ZU2sw39O/6lZHH6z97xHPFkllQsRGMmRQvw0sEYa06Z/7GnEzO3\n20NX1y7i8TimQnvKMvQgPxyFRLKuk0/BaDZj0c/uftB8ymn4gWj3HjixDAucI09v7BlnsY/9TRZm\nsoNmNcs93RjXP0PqfR8oGjGC2qdqgiwpObww+iQ9Q9IXXITS2Ihh46sYNr5afH2h3sCL9fXEI0FM\njZUTZF+3Fk9K2r3lHQ4wBc0OBxKQHAmM1ibNE8PGV/ABXdRhGFNXXc1Siha9gT2ZDD7fAAsXHrqx\nhdEgk0gzybIpxNQURWFw0Edjoxt9wZ06y4fC+XCgdRnJj5+GftcOmn56L/ptW+lEG42SvKeOyL0/\nn/c5NMtYs0yTsSEMuQwtwL2v+1lwQfm+o42Nbrq6dhEI+HEVLeRqCHKUGBBQFFpb2+gNzM4L197R\nwZtGI8PpBJI0/XepkhyqvOkkOUTz47/jX377OADOxxwYXt4AgPXO2xl+7BnUxsaKrlcwNyrusi4M\nha+312GCWdeAqnX1BDduJbhpB8FNOxh6QRPlBS9r8aNEJHio3UtKIp3l9a170QEjNk/FEz5cDgcG\nIBMuofusvx8/oNQ1I0njvx7VctW1GA2gKlrt8GHQyTJXnLccgI5gN658jXghphYMBslmszQ1NRfd\nqbP10pSC6LdvQ//088SvvpbvXXwNAFKiNGGBsZ9RMjqEIZuhFYgbrWX9/AqZ1sFgAHT5704VXNZS\nLMZBtM+14zCDa6bKiWhtbUc1GOlPRGsmPjtdeZMtHmHhu87C9p//wYqDW1h2cCv6v79UrBzQ7d+H\n/WtfRN63d/KThaDmqLggx2JREok4XpfWZELVz2F6kNWK0tKK0tJKbtlyMseuxrVzB85tW2nb9jwd\ngYOHP8Y8ySkKsUSGVCKCGxixN1Qs4aNwE5EsVpqBdHQYpUStJYO+frKAVDd5Nm61aDEYkSMRfF27\nZrT9ujXtLFLC3P0/13HT7/99XILfwEAfT77Sza+fH0RK5xPFKiTI427+kkT9qqORXS4GJO03UI6M\n5FRsGKOSxQvEDeUVEbd7VJDVvMu6HGMzD4cUj7EfwGCc05x0i8WC22KmN57gnSe01nR8tiXUjy6b\nRTWZ+Pz/u49/uukxAr4RAn1D+Pf1k122HPPDv6PxHcdj/f73qr3ckvFWLdequCAPDmr1fd7CQAnd\n/L3m2bUnIaVSLHr0EZZvf56rH/vPeR/zcKQzCtl0HFMygkNvIpXvtlRRK9JkogWQcxkufuT7/Ogb\n7+bem9+D9dZvz/mQPp/2+ciulkl/q1YphTORwAIENzw/433esUP7sS727yedUYoPSX19fQBY69yQ\nz9xWqzQeUKfT0dDQSDwZIUfpBLnwGamqQioewquqoNOTMxjK+vkVMq2DwWAxFCVVyUI+AOjMZlrm\nOMmq3eYgnUnj9w8W47PlrBU/HNOVN3miWtlc7MabCE18iLbZCP/iQZL/58MA6HbtLPcyBfOk4oJc\naEDvLQwqKIF1Erv+64z89BfUf/GrpPRGYrGRimQGK5Eg9mSE7IQszkqhmi2aICs53Ls3AqDPZjA+\n+/ScjzmQH0Jw6btPrwlXHUD8375JCzA8MkJyhqJlCQ+P7p/MFMMJ/f19yDo9ZpsTKZMXiwomdU3E\n7fag5LL4dUZIlUaQtRI4Pe947c9c+vffsToSIG60lv3zMxgMoz2tC9UTVRDkVCiED2j1etHPselL\nq8MBmQy+/r7SLm6OTFfe9CFF8wbmWtum3C+3ZBnRb92ibT9yZHQfeztTcUEujGjz5mfrlqJLklrv\nJH3p+9h51Fkk9SaGMqmyF/EbDTKd+19DBlINo26xSlqRqsVMC6DL5YjGR+huWkTE5kQaHjrsvtPh\nGwkhGYy874I1NeOqUy0WWgFyWQYG+g+7fSCUwBQbHW1oS8VQVbjvL1s50N2Hxd6g9TUu1DZXquxp\nCgoNNfr1Bq0lbImwGPUctfsFbJkEFpuL7BVXVuTza2x0E4/HiBYedqrgsvb5+lGB1ua5z3luctYj\nAQMHyx/+mimTypv+aS3L/vwQAMohhoaodgeqTod8hLQDfTtTcUEOBgPo9XrqC0MlStS2MBBK8NTm\nMDlZRzCXd0UeJqY7mzjExG0veen3vOe5nwOwZ4lWqlJxK9JkxgPYMkkCSo4RRwNRiwM5NHzYXadC\nURQGohEabVYMBkNNuOoAMJpoB6Rsjr6+3ik3KdRnDoWTfP1nf8eeHG0c851f34gulyURGaI3EMVa\n58Yz1If95puAypY9TaSQCDUg66DEMeRMOEBKb+Rnn7oD5TvfLemxp6PQ03oo39pWKlOW9aF+uwN5\nL1xT62RBnmljG4+zAR0w2FM7ggyM+002RbTwktLYSPbY1dPvJEmo9fXCQj4CqKggq6pKMBigoaER\nOd9fuFR9hF/d6UdnsGDUGwnkMsWMwnLEdAOhBGu2PIcfiB17AvuPPbsqVqTicKADzjiwBR8QtDcQ\ntTqQQiGY0L95JgwFg2RjMZrrKjvV6XCoJpNW1ZXL0ts72eMxsVVmMp0rCnJOklkU2M9i/z6S+Yxr\na10jx+0eLZnLLV9RgauYGrfbzfkndRCzm0oSQ5aGhzCsf4aj97xGNDZM0mzHYneVYKUzo/CAESiM\nSK2Cy3og/9DW3Db336LO4cAL+Pv7yVWo29hssMUjGP/8JwASn/5npgwwj0Gpd2r3hTH4huJVb/wj\nGE9FBTkcHiGTyWhzbgtZwSUefecyWggDUrI8Te2f3tjDjXf9lcV9u9jmcPO4Zy2SvjQtK2dL6j3v\nRzUaOSbsJwvscTQQs9QhKcq0T8OHsiwGd2xHymZpaq+dLFIAzGZsQIPBQF9f77hWk1PVZwLYU1Ey\nOj0/OP+fAfj4cz8nGQ3S2mjDVufBnO+ONfLgb1CaJyewVQqn04XBYMAny0gliCE7rv0Uzn94H1/8\n5fUElBwGuwu5BImTM6WQaR0I50MGFXBZf/nuFxmOjL53/ldfwWI0YT15Hl1QrFZaAenlDRXpNz5b\nPvvrb2L/5tcByC5dftjtVacTecyM56c39nD1t5+s2R7db1cqKsjBoPbFbmxsHB2fWCILuZCFWG/U\n+kkrIa1mtZQx3UKf5ObhfhKo+Cx1GC31xJPZSROFKoGyaDHDTz7HsxdczQvHncs7vnsdK0/UZiab\nH3pg1scLbH4dAO/ipSVd53wpZEF3mC2kUqlxN8ip6jMbIwFWDHQRMTt4s+MYAFb1bGVVi4TX7cJg\nsmJOaRaBYqtuFyNJkmhsdBOQZNTE/AVZt28viqOOn59xOa8vWs2uE8vXLnMqGhq0BhT+vCBXIss6\np2jtUhOpLL0H+hkZCeFdvBjJpg17mUv/9dT5F9ECSJEwPt/h8xYqiWeoj5X7N5PrXED05u+SnkFL\nVLXeqXlgksniQ6xSwz26365UVJADAS2Dt7HRXezgo5YooaaQhegwad2lTnr9ES7e/DgfO9lbMss1\nnVE4qmc7V2x4CD8QttQVW0umM5UXZIDcylX0HH0mflcL/cEg2eO0WJJ+y+bZHUhVGfnON5EA98pV\npV/oPFDzM7PbTZow9/Z2H3L7Ew68AcCIpZ7B+ia2t6wgDDTbVdra2pAkCUtau/EUhpVUE7fbQ1aW\nGS6BhSwHg6RbWvnV8tPZ1raKVEtlH66MRiP19fUECxZymTt1Pb2xh1A0jQrEU1m++b3fA9DcOL86\n+sw559IiSUiJRLH3eS0ghYa57c5/AiB9/oUkrr62OK3sUA8eSr0WhpJHQmKGcg1TUUEeGhoVZKkw\ncCgwBEIAACAASURBVL6E7rR1a9px58upVux4jmuf+hEfuPw03J1eGk48GnmahKDZcPWzP+b0rg34\n0WK2BUGuFoFQAgwOsjmVHbv3k37Xe7Q/FN7fGWL9wmfpT6dxm82oH7isDCudB2ZtZnZ7PrzR2zv6\nOU5Vn9mYn4v932d9FICQ1cl+QMpmip2bCi7rWhDkxkY36PX4FWXUczQXMhnkkRC7EgaGhwbJZBUy\nsoNEurJx3MZGN7FUkgSU1WVd8FiNY1grU3I2zNMrJst4GhrQJxMMDNSOIMtjvEPx674w5TaqqrJz\n5w4ef/xRXnppA5lMBjUvyBPjyILaouIua1mWcblco8keJe6SpLc4sAP9QOLKj5I5cQ25hYvQ9XRj\n+em98zq20SDjDfvpr2/ipnWfwe/wYLTWF/9WaQrJTMksSEY79/76Bda/mXfVZ2Z3Ew5u3UIGcN70\nrZrre6saNUH2Amazmb6+0VjXVPWZjfnkraBdaz6T1hu1zk3ZHO3teUEuWsjVb7zv8bhR9XoGYV5x\n5NA+7UFlxFJHKjaMJMmYbC7iycom7TQ2ulElGT+UNalrqsleSkgTz5xx/omJckMj3lQKv38QtQoh\nqSnJl8Y9dfJ7UKaoPVZVlWeeeZKHH/4dmze/wXPPPcv99/+CWN59L4VC0zYZATFDudpUTEUKGdYu\nVwM6na5oIaslTjhJG0y0AiOA7xvfJvT4s4T+/CQAuu1b53VsSzZNXTLCgLOZfp0BSZIwWRxYzfqK\njXssMDGZyeJwk8tm+eWTm7QXZnkj7A0No5rNtJx0colXOn8KLmspk6G1tY3h4WEikdE640J9pk2n\ncs3TP+Lcbc8CELRrDxYpnYH9gEWvQzLYSaSyGJK1YyG73R7Q6/EBxr88NvsDqCr2/3cd3svfC8CQ\nWRNkk82p1VtTWVek2+0GWRPkSnfqykQCWAFDw+RZ3rNFdTXQHI+Ti8dRwwF0JWpPOx8KD2yZaZJh\nt2zZzMaNr+J2e7jqqo9x3HHHMzjo44/9Wm22PDJcfIiVJ4iy1Vzl8kZB5QQ5Go2STCa1hC4YjS2V\n2EJOGcwUqg99fs1aVO0OVKsVeQbDCabjxO0v8v5nfwnAorUrUTMRrLY6brv2TCzGyjeWmBgHstRp\nN6BwJN8UZJYu696REVSjiZaWqTv+VJV87FhKJVmQb4Cwf//+cZu4nRYu3vYMl2x6HFM2rXVsM2lW\nQVivZwRIJQx87d6XiKeyGJNxsrKOp7dUP2bmcNRhWrSYfsD8wH2zP0AyieW+/8HRf5CQpZ4XWpah\nKDnMtsqVO43F7fYUBZkyipjRII+z9HKZFEpihFag/ahDD5WYCUpDI82qivXO2/nqHR/hB7deXpy1\nXC0K/dczusn3zXg8zjPPPIXJZOJDH/oHWlpaufDCi1mwYCFd8Sg7GXVZr1vTzr3Xn19sMuK0G6ty\nH5sLU82EhrdGf+uKCXKhZWahTnE0y3oOwyUOQXfzIgpFLMXpQJKE4m2a849JGgnx2V/fzMUbfgtA\nctlSJCWDo95VM0+UljrN1RSJaU1BpFnGInvjMUwWy+gDUw1RtJCTSRYuXAzA/v37xm+UzfLRP/+g\n+M8hRyNWswGn/f+z995hct3V/f/rlukzO7Nltq92pZW0klxkJNmysHGTbaoNxBTjYAeIsSmhBCc4\nEGryAxOCKSE4OJAEQ762KQFsYzBuuBfZwkWypNWqbt+Z7Tu93Pv7494722arpq10X8+jx+upd9o9\nn3M+57zfVvpU7b041hVHVaFhuIeNfe1ELQ7ufKSj6J2lgiBQeeU7GaytJfX0EwihpY3sCRPa7UOX\nv4XrPnYHz1bpZXn35GdZyFJkRUUlCIIekPNX6p3q7AWa1aQ7HqEecK1bc8KPH73+RrznX0Bq9Rr6\nautwxsNIRw6f8OOeEHrJOpUlQ37xxV3E43Fe//rzKdN7aQRBYOfOy8Hu4FHAdufPMrevqXBmREYK\nXeFbLlM1B07Gca2iBWRjDlnN8RzywVWnUw+MO8umySwqNbWIg0FYxpC//NpeRFXh2TMuZvSeP9B1\n5TsBcBQpA4HZzUwWmwuL3UU4NIgKS3qd4fExRhIJGsu8CAsIDBQFm7aHTCJBVVUVbreH48ePTZtH\nFmdIao6VVWVONMcTWpmv2lEGqsrfPPQDAPY0nV4ynaU1NbUozavpVxQ8H/4Ari//IxhuVDpzZQBG\nALdU+Ljm0vXE9T10m76HXuhSpM1mo8zr1fbE81yy3rm1EZ/bigCQGKPVkaIeSK8+8YCcvOAiHD+9\ni/hV76F7uz7TnCOLzOUyWbKeri6XTCZ5+eU/43K5OeusLdOuq6qqYsO2cwgA3c8/u2JtGOfzhC72\nojpXFCwgD95wA/Zf3MXqmz+D96orcN6qCZ7nag7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lop6Ur5zU6AiX/Olu9nfsyPvYnHSs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f1vxcfHKy9vltURby4mRgGnSwGnK/RRrJQ7+iZo/d/ZE7+6WVenV2fPntGoUff0X9N7EBghAwDC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\nSUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "xfit = np.linspace(0, 10, 1000)\n",
+ "yfit = RandomForestRegressor(100).fit(x[:, None], y).predict(xfit[:, None])\n",
+ "ytrue = model(xfit, 0)\n",
+ "\n",
+ "plt.errorbar(x, y, 0.3, fmt='o')\n",
+ "plt.plot(xfit, yfit, '-r');\n",
+ "plt.plot(xfit, ytrue, '-k', alpha=0.5);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "As you can see, the non-parametric random forest model is flexible enough to fit the multi-period data, without us even specifying a multi-period model!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example: Random Forest for Classifying Digits\n",
+ "\n",
+ "We previously saw the **hand-written digits** data. Let's use that here to test the efficacy of the SVM and Random Forest classifiers."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "dict_keys(['target_names', 'data', 'target', 'images', 'DESCR'])"
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets import load_digits\n",
+ "digits = load_digits()\n",
+ "digits.keys()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1797, 64)\n",
+ "(1797,)\n"
]
}
],
- "metadata": {}
+ "source": [
+ "X = digits.data\n",
+ "y = digits.target\n",
+ "print(X.shape)\n",
+ "print(y.shape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To remind us what we're looking at, we'll visualize the first few data points:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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uiPuvsK+//robdfiuuLjY7xIcN2jQIN//FueWrKws1NfX+12G4wKBQNIkVGMZ\nOnQoGhsb/S7DUZWVlaisrPS7DMcNHDgwaZ8fyfHeSkREdJPY8BERkVUC0WT7SzMREZGCb3xERGQV\nNnxERGSVXjG2jja6iTaqhBvzZmmkOk1GZ9FGxNBGeXCDycgt2jbanHBuzAlmQhotSLveNNKoGG5c\noybzP2rXlJ+jC/2aVqd0jLXj4fW9JNFqlPZLu1e00a68vMe0+SaleQG1uQm9mqeUb3xERGQVNnxE\nRGQVNnxERGQVNnxERGQVNnxERGQVT1OdUmJOSwY5OR/YzdDm77oyav7NLgfkedp6U5JOG4+vvb09\n5nJtbjqvz5kJKW2pnRctrSqlB7Vt3CAlBLV7zOTz3DrH2v0nXYva3IpagtCNxK10vNavXy9uI91L\nWu3aOukYunHOtDn+pPMlLQf0c6IlY+PFNz4iIrIKGz4iIrIKGz4iIrIKGz4iIrIKGz4iIrKK46lO\nLeXz0ksvxVy+YsUKcRstcejGuG5a8ik7Ozvmci2J1psSjlKyz2TG7940hqoJKSGmJce0/fLyPGt1\nSKlULV2qfZ50bfuRSpbSj1pKUHseOZkSTIR0brTzop1P6d50Y9xS7brPzMyMudx0v5jqJCIiMsSG\nj4iIrMKGj4iIrMKGj4iIrMKGj4iIrMKGj4iIrOJ4dwYtMltSUhL3NoFAQFwnxWITib1qXRMkWmRa\nG0zWaydOnIh7m7Fjx8Zc3pu6LEjdNLQuF9J51o7RwYMHxXVeHg+tG8+DDz4Yc7kWOzfpHuEW7d6V\nukNptGPlRncG7VkgMbl2TM+n07Tnm3TstUHFTQdTjxff+IiIyCps+IiIyCps+IiIyCps+IiIyCps\n+IiIyCps+IiIyCrG3RmkqLg2UroUtTaN/LsRR5ZqBOSoe0FBgbiN1IVDm3XCLSZRYWmb3tSFQ7oW\nTWadMOXG7AzS9aZd99r9JzHpwuMWbd+kddp1nZubK66T9lt7BvQWfWHWCambmtZ9zWSmEJPzxTc+\nIiKyChs+IiKyChs+IiKyChs+IiKyChs+IiKySiAajUad/MBPPvkk7nVaqkxLqTlcujGTVFlnZ6e4\njVuDzErH+aGHHnLl+2Kpr6+Puby3JNG0RKqWpJOugUTSnlKqU7s+pBq1Abu1gbm17foCLUEo7Xci\n+ywNzKwljKXnmHZesrKyxHXd3d0xl7uRPHaalnaXrm2tzZHwjY+IiKzCho+IiKzCho+IiKzCho+I\niKzCho+5Mw/0AAAgAElEQVSIiKzCho+IiKxiPEi1RIuDS+u0+PBLL72UaEmOkeK0WsxdonWBcKs7\ng/S52dnZ4jYHDx50tAbpXHvdnUGKuTc3N4vbrFixQlznRlRc+kztu6QuK9o95vWg4hqta5NJnF27\nz6RrW+qSANz43hw3blzM5Vp3BpPByDMzM8V1vaXbgnQutW4a2oDTpaWlMZebPEv5xkdERFZhw0dE\nRFYx+lXnsWPHMGXKFNTX16vzXfUlzz77LNLT0wEAd911FxYvXuxzRc6oq6vD9u3bcfHiRTzzzDP4\nt3/7N79LcsSWLVvQ1NSEQCCACxcuoKOjA21tbVfPYV8VDodRVlaGrq4upKSkYOHChUlxj/X09KC8\nvByHDh1Ceno6QqEQ7r77br/LckQ0GsX8+fPx7bff4ty5c5gxYwZuv/12v8tKWDKfs7gbvnA4jFAo\nhNTUVDfq8UVPTw8AYMOGDT5X4qwdO3Zgz549aGxsxLlz57B69Wq/S3JMQUHB1QmAFyxYgMLCwj7f\n6AFAa2srIpEIGhsb8T//8z9YsWIF3n77bb/LStjmzZuRlpaGTZs2obOzE9XV1Xjvvff8LssRLS0t\n6OnpQWNjI+rr67F582bMnj3b77ISlsznLO5fdS5btgzPP/887rjjDjfq8UVHRwfOnTuH4uJivPji\ni0azWPdGX3/9NYYPH47Zs2dj1qxZ+Nd//Ve/S3Lcvn37sH//fkydOtXvUhyRk5ODS5cuIRqN4vTp\n0+jXr5/fJTli//79eOyxxwBcHr/2+++/97ki5+zevRt5eXkALu+b04EwvyTzOYvrja+pqQlDhgzB\no48+ijVr1jhWhJY4C4VCjn2PJDU1FcXFxZg6dSoOHDiAl19+Gdu2bUMweP3PBdIAqloSraSkJOZy\nKf3lpO7ubvz444+ora3FDz/8gFmzZuGzzz77zb/TUnFS+lHbZy1V5nSCsK6uDnPmzIl7O6n+kSNH\nitt4kTxNS0vDoUOHMHHiRJw4cQK1tbVx1SElErWkohf79cADD+DLL7/EhAkTsHfvXvz000+IRqMI\nBALX/TstIW0yGLGWwpQShPGmqs+cOYOMjAwAl+/rtLQ0PPbYY9c9PyZPnixuLw04PXbsWHEbkyR5\nvG7mnGmJSukZpx1fLfGp3ZvxiuuNr6mpCW1tbZgxYwY6OjpQVlaGY8eOOVaMX3JycvD0009f/e/B\ngwfj559/9rmqxA0ePBh5eXlISUlBbm4uBgwYgOPHj/tdlmNOnz6NAwcO4OGHH/a7FMesW7cOeXl5\n2LZtG7Zu3YqysrKrv4rvy6ZMmYK0tDRMnz4dn3/+OUaMGPGbRq+vSk9Px9mzZ6/+fyQS+c0PzX1R\nMp+zuM7OBx98gIaGBjQ0NOD+++/HsmXLMGTIELdq88zHH3+MpUuXAgCOHDmCs2fPJsUfp0ePHo2v\nvvoKwOX9On/+vDqdSV+zc+dOjBkzxu8yHJWZmXn1b5UZGRkIh8OIRCI+V5W4ffv24ZFHHsGHH36I\nJ598EsOGDfO7JMeMGjUKra2tAC7/JmH48OE+V+SMZD5nxh3Yk6XlB4DCwkKUl5dj2rRpCAaDWLx4\ncVL8xDZu3Djs2rULhYWFiEajCIVCSXXeOjs7k+pmBICioiJUVFRg+vTpCIfDmDt3blIEybKzs1FT\nU4M1a9bg1ltvxaJFi/wuyTH5+floa2vDc889BwBYsmSJzxU5I5nPmXHDl0wJyH79+mH58uV+l+GK\n119/3e8SXFNcXOx3CY4bNGiQOhlnX5WVlSVOQtzXBQIBdWSWviqZz1nff60hIiKKAxs+IiKySiAa\njUb9LoKIiMgrfOMjIiKrGIdbpI6LWgdlp0dEkTqFmnR0vULrTC+FDrTOwVpHb4nUadyP6UakYynV\nCOida92Yckk6xtogAVr9Eq12L6dV0q5R6VrUjkUi0/A4TZuWRlqnhYF6yxQ9JoEl7Txrz9Ivvvgi\n5vJEBs2QOpZr105NTU3M5aaDRJjcsxK+8RERkVXY8BERkVXY8BERkVXY8BERkVXY8BERkVWMU51S\nkk5LGxUVFcVcriVBtVSWlgAzpU2zIe3blQlRnSIl6dxKDmpTgUipLe3Ye50ElOo/efKkuI3JEFNa\nGs1kChZTJuk2LV2snUspoZvovSelhbXnh3SetfSjk0nARGg1SrTatc8zSTnfiPR9WoJeSpdqtZtM\nkWaCb3xERGQVNnxERGQVNnxERGQVNnxERGQVNnxERGQV41SnlgSUSEkwLfnmRnJTY5LCKykpEdeZ\n7HMi6SsT2tiaUsoukfFQnWYyHqN0zrTkmNdpVSlhrKVVpeS0lqTT7jFpu0QnyzU5Z1KqWault6Q6\ntWMs7Zd2zrTj50b6W/o+rR2QnhHr168Xt5HGX3Ya3/iIiMgqbPiIiMgqbPiIiMgqbPiIiMgqbPiI\niMgqbPiIiMgqjg9SrSktLY17m/r6enGdW4M2x6umpkZcl5mZGXO5yaC1btEiyVL92vn3OvZvEo2X\nzpl2XrRuH250uzHZL23Ad5PvcatrjXSNZGdni9uYDCyunU8vnx/aPTF+/PiYy6WuKYD33YmkY6U9\nB6TuOCtWrBC3SbSbzM3iGx8REVmFDR8REVmFDR8REVmFDR8REVmFDR8REVmFDR8REVklEI1GoyYb\nSjFWLWYrRaO1CKsWITeZISIRUi1aHVIMWIu/a/ucCKlOLWotzQQgdXMA9Ai8FC83ie7fiHZdSd9n\nOouBVzFsAAgEAuK6PXv2xFyu1a6tk2Y3cKsrgHYvmTxztHtJWpfItSjVqHUzOXjwYMzlho/mPk07\n9tKxNek+xTc+IiKyChs+IiKyChs+IiKyChs+IiKyChs+IiKyivEg1VISTEuISYktr9OZpqS0ojZQ\nq5SKdGNQ4xsxSXVK22j7rCXY5s+fH3O5G6lIKZEIyPsl1Qd4P/i2VKOWqJUGBjYZVB4wG/Q6ESYD\nZmspYu0+k9KgiSRWTT7TJK3q9XnxinYupRSuyfniGx8REVmFDR8REVmFDR8REVmFDR8REVmFDR8R\nEVmFDR8REVnFuDuDRBsUVoqXt7e3i9vU19cnWlJctK4VUuReix1L0XO3BvnVSHF8rSvB+PHjYy7X\nBnPuLd1TtPMiXYta7VpXBzdI0X6piwwgnxetO4MWIXdj8HCNds6kfdC6LGj7Jp3PRO5N6fu0+0W6\nL027DLlBqkU7VlKN2vnS9tnJZybf+IiIyCps+IiIyCpx/6rz2WefRXp6OgDgrrvuwuLFix0vyg9X\n9iscDuN3v/sdqqqq/C7JEXV1ddi+fTsuXryIadOmYcqUKX6X5JhkvBaj0Sjmz5+Pb7/9Fv3798ei\nRYswbNgwv8tKWE9PD8rLy3Ho0CGkp6cjFArh7rvv9rssR4TDYZSVlaGrqwtnzpzBjBkzcOedd/pd\nVsKuPWfRaBT/8R//gX/8x3/0uyxHxNXw9fT0AAA2bNjgSjF+uXa/esvfp5ywY8cO7NmzB42NjTh3\n7hzef/99v0tyTLJeiy0tLejp6UFjYyPa29uxZMkSrF692u+yErZ582akpaVh06ZN6OzsRHV1Nd57\n7z2/y3JEa2srIpEIGhsb8c477+CTTz7BzJkz/S4rYdees08//RTvv/8+Kioq/C7LEXH9qrOjowPn\nzp1DcXExXnzxRTWU0pdcu19z5szBN99843dJjvj6668xfPhwzJ49G7NmzRKDKn1Rsl6Lu3fvRl5e\nHgBg5MiRSXMt7t+/H4899hgAIDc3F99//73PFTknJycHly5dQjQaxS+//IJbbrnF75Icce05+93v\nfoeuri6fK3JOXG98qampKC4uxtSpU9HW1oaSkhK8//77CAb/3n5qD1cp4RgKhcRtvEg/XrtfmzZt\nwrx587BgwYLr9gsAqqurY26vDRospVy9GKS6u7sbP/74I2pra/HDDz9g1qxZ+Oyzz37z77Tk25Yt\nW2IuLygoELfRjodT5/Pac/Z///d/KC0txebNm687Z9p3SWlFaZBnbRsnnTlzBhkZGVf/PyUlBZFI\n5Lr9WrFihbh9aWlpzOWTJ08Wt3FjgPBfe+CBB/Dll19iwoQJ2Lt3L3766SdEo1EEAoHr/p1Jclar\nX0vAjhw5Mu7viiUtLQ2HDh3CxIkT0d3djT//+c/4/e9/f92/0X6TtH79+pjLvU60/9q15wy4vA8j\nR4687pxpzw4pyWoyEPmN1sUrroYvJycH2dnZAIChQ4fi1ltvxfHjx/EP//APjhXkh2v3684770Ra\nWhpOnjyJrKwsnytLzODBg3HvvfciJSUFubm5GDBgAI4fP47bbrvN79ISdu05u/vuu5GZmYmjR4/i\njjvu8LmyxKSnp+Ps2bNX///XjV5fNWXKFPztb3/D9OnTMWrUKIwYMeI3jV5ftW7dOuTl5aG0tBTf\nffcdZs+ejY0bN6Jfv35+l5aQZD5ncd1RH3/8MZYuXQoAOHbsGH755ZekeIheu18nTpzAhQsX1LeW\nvmL06NH46quvAABHjhzB+fPn+3xjfsW15+znn3/G2bNn+/wPYAAwatQotLa2Arjcp2n48OE+V+SM\nffv24ZFHHsGHH36IJ598MikCO1dkZmZeDVllZGTg0qVLuHTpks9VJS6Zz1lcb3yFhYUoLy/HtGnT\n0NPTg//6r/9Kip9Gr92vU6dO4Q9/+ENS7Ne4ceOwa9cuFBYWIhqNIhQKJc1PbNees0gkgqqqqqQ4\nZ/n5+Whra8Nzzz0HAFiyZInPFTkjOzsbNTU1WLNmDW699VYsWrTI75IcU1RUhIqKCkyfPh3nz5/H\n7NmzkZqa6ndZCUvmcxZXw9evXz8sX74cgP63kL7m2v3SRp7pi15//XW/S3DFtecsmZK4gUBA/Fty\nX5aVleX736zcMmjQoKt/Z0ymazGZz1nf/xGZiIgoDmz4iIjIKoFoNBr1uwgiIiKv8I2PiIis4vi0\nRNp0GSadhrUOrU52aEyENMUNIHfi9LujdKK0Y68dD6+nU5FINWrTx2iDDngZitKOb01NjaPfJQ1g\n4NZ5NNk3rSO69nluDI4hhVukqYcAeSqm3vJ8MyUdC+24a8fJyYEW+MZHRERWYcNHRERWYcNHRERW\nYcNHRERWYcNHRERWcbwfn5ZEklI+2jZaSq27uzvmcrdSkVJyT5uKaezYsXF9Vm8jpU9zc3PFbaR9\nBrzdb+279u7dG/fnaakyN4bwk+4XLV0q3UtaWk4bIk2aMsxk+qCboaVqpftamyJL40YXZpP7xcSV\nmUlika577Rpwg3S/SFNnAXpC1+SelfCNj4iIrMKGj4iIrMKGj4iIrMKGj4iIrMKGj4iIrOLpWJ0m\n41ZqvB7TUto3LWEl7bN2nKTEnJbmS4Q2eabJeIa9ZaxRLS1sMg6iljiUEmeJnDOTsW0lpuMcej22\nqna9SfdFZmamuI12ztxgklqePHlyzOWm146Xk+Fq+2tyzXk1Pinf+IiIyCps+IiIyCps+IiIyCps\n+IiIyCps+IiIyCps+IiIyCqOd2fQ4sjS4KRa/PaLL75ItKS4aPHckydPxlyu7bMUPW9ubha3kWLs\niUazpVq0+ltbW+P+Hq+7M0jn7JNPPhG3cbKrAODOAMBSFwltv6RtTAcHl7oQaDW4RYr3a9eb1wMz\nO3nta90Zeks3k/Xr14vbSN00Dh48KG7j1bODb3xERGQVNnxERGQVNnxERGQVNnxERGQVNnxERGQV\nNnxERGQVx7szvPbaa3Fvo0VYvRqt+wqTmLYWgTc5HlKEPFFSpF07/lu2bIm5XOsC4fU5k9TU1Ijr\npBH9pS4rNyJdNyazW9zoM6urq+P+LG0GAyl2Drh3LZqQIvxaVw3tWpS6fiTSBUKqUTvGUh3as0Pb\nLze6BEhdqUxmLNG6cnnV/YRvfEREZBU2fEREZBU2fEREZBU2fEREZBU2fEREZJVANBqNOvmBWipH\nSilpSUptMFaTxGQipO/T0oOS7OxscZ3pQMlukAYQz8rKErcpKSkR161cuTLhmtykXb/adaoNKOw0\n7frIzc2NuXzFihXiNl7fR17Snh/StW06oLcp6boqKCgQt+kL51NKdT700EPiNqFQSFznZMKYb3xE\nRGQVNnxERGQVNnxERGQVNnxERGQVNnxERGQVNnxERGQV40GqTSK/UuRbi4lrg6B6HduVovjaoLDS\ngMK9afBfjRT51vSm7hgS6drRujN42WVBo90TkkQGy/aS9lyR1kmx+Rt9npfnUztnL730Utyf11uu\nRY3Jc8CrZwff+IiIyCps+IiIyCpx/aozHA6jrKwMXV1dOHPmDGbMmIE777zTrdo8d+zYMUyZMgX1\n9fXiCBh9UXt7O5YvX46Ghga/S3HMli1b0NTUhEAggAsXLqCjowNtbW1IT0/3u7SEJOt+RSIRVFVV\nobOzE8FgENXV1bjvvvv8Lssxzz777NVzdNddd2Hx4sU+V+ScZHx+xNXwtba2IhKJoLGxEe+88w4+\n+eQTzJw5063aPBUOhxEKhZCamup3KY5au3YtmpubkZaW5ncpjiooKLg6pNOCBQtQWFjY5xsHIHn3\na/v27QgEAti4cSN27NiBt956C6tXr/a7LEf09PQAADZs2OBzJc5L1udHXL/qzMnJwaVLlxCNRvHL\nL7/glltucasuzy1btgzPP/887rjjDr9LcVR2djZWrVrldxmu2bdvH/bv34+pU6f6XYqjkm2/JkyY\ngIULFwIAurq61Bnh+5qOjg6cO3cOxcXFePHFF9He3u53SY5J1udHXG98aWlpOHToECZOnIju7m78\n+c9/xu9///vr/o2WNpKSZVqSzotBjZuamjBkyBA8+uijWLNmTdzbmyQfx40bF/c2JvLz89HV1WW8\nvcm+eZk4q6urw5w5c+LeTkqPaYMae0nbLy0FXVRUFHO5ljz2SjAYxLx589DS0oK333475r/R7ncp\nvWkyMD7gXLI6NTUVxcXFmDp1Kg4cOICXX34Z27ZtQzD49/cK7bukAeu1JGhfeH5IzwFtgH6v9iuu\nN75169YhLy8P27ZtwwcffIDq6mpcvHjRrdo809TUhLa2NsyYMQMdHR0oKyvDsWPH/C6LbuD06dM4\ncOAAHn74Yb9LcVSy7hcALF26FNu2bUNVVRXOnz/vdzmOyMnJwdNPP331vwcPHoyff/7Z56pIE9cb\nX2ZmJlJSLm+SkZGBS5cu4dKlS+jXr58rxXnlgw8+uPrfM2bMwIIFCzBkyBAfK3Kew7NP9Qo7d+7E\nmDFj/C7Dccm4X83NzThy5AheeeUVDBgwAMFg8Lo3or7s448/xnfffYdQKIQjR47g7NmzuP322/0u\ny1HJ9vyIq+ErKipCRUUFpk+fjvPnz2P27NlJFwYJBAJ+l+CKZNyvzs5ODBs2zO8yHJeM+/XEE0+g\nvLwcL7zwAsLhMCorK9G/f3+/y3JEYWEhysvLMW3aNASDQSxevDhpGvUrku35EVfDN2jQoKu/gzf5\n209fkIzJrKFDh6KxsdHvMhxXXFzsdwmuSMb9GjhwYK+fhNhUv379sHz5cr/LcE0yPj+S68cSIiKi\nG2DDR0REVglEk+2vlkRERAq+8RERkVXY8BERkVWM5+OTaPMpST35tZEXtNELvJ6TSkqyavVL67R5\nwnrDKBtXSKOEaCNimJxPbRs3SKOAaCNHaKO6mMzVaEqbf046L62trUbfVV9fH3O5W/P7mczHJ815\nCVwe9FvSW0bpkZ4rps836Z5143mpPe+le0nrEaA97508X3zjIyIiq7DhIyIiq7DhIyIiq7DhIyIi\nq7DhIyIiqzie6jSZ40pL9GkpO6/HC5USRydPnhS3kWrUxi10ap6wm2VSi5bq1JJZUgrM61SntF9a\ncmz9+vXiOinl6Mb8Ytr5klKkK1asELcpLS0V10kJQbdSndpcgzU1NTGXh0IhcRuvUoKJkO4lLYWp\npSm9THVqz6qDBw/G/XnadSXts0lymm98RERkFTZ8RERkFTZ8RERkFTZ8RERkFTZ8RERkFeNUpzRe\noJZ8Mxn3z630mERLKUljBZaUlIjbSIktLVEm7bNbyUctFSWdZy1RqyXzvB5fVSLVr6UAtf3SUnZO\n02qUaPWZpETdYpLi1u5Zk2Sk1wljqUYtOe31fWTyvC8qKor7e7TPMxlfV8I3PiIisgobPiIisgob\nPiIisgobPiIisgobPiIisgobPiIisopxdwaTAaJNIt9apFeKMScyyLMW35YixNr3SZ+n7ZfUbcKt\nrh3a50rnWeuO0Zvi8RKpRikyfSNuROCl7hNadwbpGtXuV20wYe06dYN2XUn3mXS/AN52MzElHWPt\nPtL2y41zZnIcTbrdeHUu+cZHRERWYcNHRERWYcNHRERWYcNHRERWYcNHRERWMU51Sumb7OxscRst\nsSUxSY8mQkvnSakik6SiNsisSRoqEdoxlhKf2sCwJoPGek1Kb2qJOC1l58Y+S/dYc3OzuI22zoR0\nLWrHwi3SMR4/fry4TSgUEte5kcSVzpmWVpTWaQljbcD03pKclq4dLUWunRMn2wK+8RERkVXY8BER\nkVXY8BERkVXY8BERkVXY8BERkVXY8BERkVWMuzNIXRO0mLNJfFiL5roR29W6XEgxXC0CL+2zFkc2\nHSj5RqRBfqurq8VtRo4cGXO5Vr/XpDi4di5PnjwZc3lJSYm4jVuDhEuk86Xtl3ReampqxG3q6+vF\ndb1lnwE5Hq91odK6DblB6vKk3WMS7bx43WVI+r7MzExxG6ktMO2y4OTznm98RERkFTZ8RERkFTZ8\nRERkFTZ8RERkFTZ8RERklUA0Go06+YFaYkdKWGkpNS3lJaWGTAbDvhlSelMbVFo6Hu3t7eI2Upor\n0YSdlPjTUqkHDx6MuXzy5MniNk4ne01piT7p+GspNe34S+u8ThVK176WFJaSiH4IBALiui1btsRc\nrl2/2r3pZTJSO8Ym97X2XJTuMTfuPe1ZazJgunb/cZBqIiIiQ2z4iIjIKmz4iIjIKnGN3BKNRjF/\n/nx8++236N+/PxYtWoRhw4a5VZtnknW/wuEwKioq0NXVhYsXL+LBBx/EP//zP/tdliN+vW+vvvoq\nHn/8cb/LStiWLVvQ1NSEQCCACxcuoKOjA21tbUhPT/e7tISEw2GUlZWhq6sLKSkpWLhwIXJzc/0u\nyxHJei0m63MRiPONr6WlBT09PWhsbMTcuXOxZMkSt+ryVLLu19atW5GVlYUPP/wQ7777ruOzc/vp\n1/u2cOFCv0tyREFBARoaGrBhwwaMGDECVVVVfb7RA4DW1lZEIhE0NjZi9uzZWLFihd8lOSZZr8Vk\nfS4Ccb7x7d69G3l5eQAuj+H4zTffuFKU15J1vyZNmoSJEycCACKRCG655RafK3LOr/ctJcV42Nle\nad++fdi/fz/efPNNv0txRE5ODi5duoRoNIrTp0+jX79+fpfkmGS9FpP1uQjE2fCdOXMGGRkZf984\nJQWRSATB4N9fHLX4sBTB1eLIWjTeqW4LN7NfWi3SIMmAHMENhULiNk4NDDxw4EAAl/evpKQEVVVV\neOqpp37z77TjKJ1P7TybfF68sf9f71tpaelv/o0W4ZfOmTb4trZOioqbdmeoq6vDnDlzYq7Trjfp\nrV7qCuCVtLQ0HDp0CBMnTsSJEydQW1sb899pAzMXFBTEXD527FhxGy+6k9zMtah1JZCuK627xfjx\n48V10rmOtzvDzTwXteezROvaYfJ5JuL6VWd6ejrOnj179f9jNQ59UbLuFwAcPnwYRUVFKCgoiNno\n9WXJum+nT5/GgQMH8PDDD/tdimPWrVuHvLw8bNu2DVu3bkVZWRl6enr8LssxyXgtJvNzMa69GDVq\nFFpbWwFc/ml6+PDhrhTltWTdr6NHj6K4uBhvvPGG+NNyX5XM+7Zz506MGTPG7zIclZmZefVvlRkZ\nGQiHw4hEIj5X5YxkvRaT9bkIxPmrzvz8fLS1teG5554DgKT5Y2ey7ldtbS1OnTqF1atXY9WqVQgE\nAli7di369+/vd2kJS+Z96+zsTJr03BVFRUWoqKjA9OnTEQ6HMXfuXKSmpvpdliOS9VpM1uciEGfD\nFwgEjCZU7O2Sdb8qKytRWVnpdxmuSOZ9Ky4u9rsExw0aNMizv994LVmvxWR9LgLswE5ERJZxfJBq\nIiKi3oxvfEREZBU2fEREZJVeMcSA1lFTm4NJ6sg7ePDgBCuKj1aj1Glf68SpdZT2mtSZ3qRzOODO\nuZGOvzYwgkmnYa3TvpfXnDbAgbRfWn29Zc46QK9FCseYzG0JODdQxM3QOo9Lc15mZ2eL22jz8bmx\nX9L9/tBDD8X9Wdp+afestF8m9x7f+IiIyCps+IiIyCps+IiIyCps+IiIyCps+IiIyCqedmCXkkja\nsDiZmZniOilpFO/0G4nSpj7REmcSt06JlH7UUmDSNtrUQ1oyyw3SdWCSjtXSqiYJYzdo3yWlhbXh\nwrRrtLOzM+byRO8xk5SglAbUzsvJkyfFdd3d3TGXu5HQ1Y6/dCzWr19v9F179uyJuTyRKZqkY6yl\nSyVaclc7X1988UXM5SbJY77xERGRVdjwERGRVdjwERGRVdjwERGRVdjwERGRVRxPdWoJQZOU0tix\nY8V1XibpNFqqSEo/aikvbRzPREifm5ubK24jHf/ecuxNSYlPLZGqpQelY+v1uLEmacmSkhJxndeT\nx2pJXOle0pKFWmLcrcRqvKR9LigoMPo8L9OqGunaKS0tFbfRnvcm49BK+MZHRERWYcNHRERWYcNH\nRERWYcNHRERWYcNHRERWYcNHRERWSTHdUIqzmw6sKtEi5L2FFu2XotFeD+QMmHWT8DoC7RVpoFzt\netMGsO4tx8kkip/I4MVO0wY/d1pvebaYHP9QKCSu6y3XosnzRhvA2sn94hsfERFZhQ0fERFZhQ0f\nERFZhQ0fERFZhQ0fERFZhQ0fERFZxXh2BinCr0W+pdju+PHjxW3q6+vFddpMEG6QRgc3GcHej9kN\npPHKo/4AAAWCSURBVO/Ujn9mZmbM5Vp3DG22Cm2dl6RjocXptWvb6xH946XdK1rs3K3rVDqW2vVx\n8uRJR2uQZqXwekYKiXYstK4Y0jnrLTOFaPulzbThZBcwvvEREZFV2PAREZFV2PAREZFV2PAREZFV\n2PAREZFVjFOdJqQkUlZWlriNNhirlgAypSW6SktL4/48KZXqdSIVMEt1SkaOHCmua29vF9f1puMR\ni5Y405Kb2uC6vYGWAtTuvy+++CLm8kTTuVJCWrunpX04ePCguM3kyZPFddJ39ZZBu7VErXbPrlix\nIuZyPwbGj0WrQ7uPnBxUnG98RERkFTZ8RERkFTZ8RERkFTZ8RERkFTZ8RERkFTZ8RERklRS/C+ht\ntCizNKitFjt+6aWXYi6X4tyAHPdNNEIubS/FnwG5C4fW/UCLJEsRcje6M2iDSkvRaK3Lwvr168V1\nUjeYRAYGlmrUIv/SOTaNgpsMNHwzpMHAtUHCTfZNuxa9HLRZu9+l54e2jdekY2zSRUK7jzTStWjS\n/YRvfEREZBU2fEREZBWjX3W2t7dj+fLlaGhocLoeX4TDYVRUVKCrqwvHjh3DpEmT1JFJ+pK6ujps\n374dFy9exLRp0zBlyhS/S3JEJBJBVVUVOjs7EQwGUV1djfvuu8/vshJ27X5FIhGUlZXhnnvu8bss\nR2zZsgVNTU0IBAK4cOECOjo60NbWhvT0dL9LSwivxb4n7je+tWvXoqqqChcvXnSjHl9s3boVWVlZ\n+PDDD/Gf//mfaGxs9LskR+zYsQN79uxBY2MjGhoacPjwYb9Lcsz27dsRCASwceNGlJSU4K233vK7\nJEdcu18zZ87EO++843dJjikoKEBDQwM2bNiAESNGoKqqqs83egCvxb4o7je+7OxsrFq1Cn/84x/d\nqMcXkyZNwsSJEwEA0WgUt9xyi88VOePrr7/G8OHDMXv2bJw9ezapztmECRPw+OOPAwC6urrEmeL7\nmmv36/Dhw8jIyPC5Iuft27cP+/fvx5tvvul3KY7gtdj3xN3w5efno6ury+jLpBTV2LFjxW20xKRT\nBg4cCAA4c+YMPvroI1RUVMRMkJkk2aTUk7ZfTqXNuru78eOPP6K2thY//PADZs2ahc8+++yma9SY\nDhDu5GDOwWAQ8+bNQ0tLC95+++3frNeSotJA2tpDq6ioSFznZELw1/v168/W0n5S8k1LuGoDOWsp\nS1N1dXWYM2dOzHXafdHa2hpzuZZK9iq5eaNrUbtftEHdJdq16GRC+sp+/eUvf0FVVdVv0p3adSXt\nl/a8155FTg4eznDL/3f48GEUFRWhoKAATz31lN/lOGLw4MHIy8tDSkoKcnNzMWDAABw/ftzvshy1\ndOlSbNu2DVVVVTh//rzf5TgmWffr9OnTOHDgAB5++GG/S3Fcsp6zpUuX4v3338fKlStx4cIFv8tx\nhHHD5+FsRq47evQoiouL8cYbb6CgoMDvchwzevRofPXVVwCAI0eO4Pz58+oUNH1Jc3Mz6urqAAAD\nBgxAMBhEMNj3f45L1v26YufOnRgzZozfZTgqWc/ZtfvVr18/BINBBAIBn6tyhnEH9mQ5AABQW1uL\nU6dOYfXq1Vi1ahUCgQDWrl2L/v37+11aQsaNG4ddu3ahsLAQ0WgUoVAoac7bE088gfLycrzwwgsI\nh8OorKzs8+cLSN79uqKzsxPDhg3zuwxHJes5u3a/zp49i1dffTUp9gswbPiGDh2aNMlHAKisrERl\nZaXfZbji9ddf97sEVwwcOFCdNLivStb9uqK4uNjvEhyXrOfs2v06cOCAv8U4rO+/jxMREcWBDR8R\nEVklEE2mlAoREdEN8I2PiIiswoaPiIiswoaPiIiswoaPiIiswoaPiIiswoaPiIis8v8AX9c4Ro0c\nbj8AAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# set up the figure\n",
+ "fig = plt.figure(figsize=(6, 6)) # figure size in inches\n",
+ "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0.05, wspace=0.05)\n",
+ "\n",
+ "# plot the digits: each image is 8x8 pixels\n",
+ "for i in range(64):\n",
+ " ax = fig.add_subplot(8, 8, i + 1, xticks=[], yticks=[])\n",
+ " ax.imshow(digits.images[i], cmap=plt.cm.binary, interpolation='nearest')\n",
+ " \n",
+ " # label the image with the target value\n",
+ " ax.text(0, 7, str(digits.target[i]))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can quickly classify the digits using a decision tree as follows:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.cross_validation import train_test_split\n",
+ "from sklearn import metrics\n",
+ "\n",
+ "Xtrain, Xtest, ytrain, ytest = train_test_split(X, y, random_state=0)\n",
+ "clf = DecisionTreeClassifier(max_depth=11)\n",
+ "clf.fit(Xtrain, ytrain)\n",
+ "ypred = clf.predict(Xtest)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can check the accuracy of this classifier:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.83777777777777773"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "metrics.accuracy_score(ypred, ytest)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "and for good measure, plot the confusion matrix:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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//ffVpk0bud1u/eIXv9DRo0eVnJysLVu26NixY5o+fbpOnTql0NBQzZo1S2+9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\nAABD/D8ZAb6UtjnclQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.imshow(metrics.confusion_matrix(ypred, ytest),\n",
+ " interpolation='nearest', cmap=plt.cm.binary)\n",
+ "plt.grid(False)\n",
+ "plt.colorbar()\n",
+ "plt.xlabel(\"predicted label\")\n",
+ "plt.ylabel(\"true label\");"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Exercise\n",
+ "1. Repeat this classification task with ``sklearn.ensemble.RandomForestClassifier``. How does the ``max_depth``, ``max_features``, and ``n_estimators`` affect the results?\n",
+ "2. Try this classification with ``sklearn.svm.SVC``, adjusting ``kernel``, ``C``, and ``gamma``. Which classifier performs optimally?\n",
+ "3. Try a few sets of parameters for each model and check the F1 score (``sklearn.metrics.f1_score``) on your results. What's the best F1 score you can reach?"
+ ]
}
- ]
-}
\ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/04.1-Dimensionality-PCA.ipynb b/notebooks/04.1-Dimensionality-PCA.ipynb
index a72c210..3bc0ece 100644
--- a/notebooks/04.1-Dimensionality-PCA.ipynb
+++ b/notebooks/04.1-Dimensionality-PCA.ipynb
@@ -1,539 +1,584 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:447cc1c02d143be1ceeb5dd2c37b1215b8dd84c32566de90761f899dd30a4eab"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Dimensionality Reduction: Principal Component Analysis in-depth\n",
- "\n",
- "Here we'll explore **Principal Component Analysis**, which is an extremely useful linear dimensionality reduction technique.\n",
- "\n",
- "We'll start with our standard set of initial imports:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import print_function, division\n",
- "\n",
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "from scipy import stats\n",
- "\n",
- "# use seaborn plotting style defaults\n",
- "import seaborn as sns; sns.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Introducing Principal Component Analysis\n",
- "\n",
- "Principal Component Analysis is a very powerful unsupervised method for *dimensionality reduction* in data. It's easiest to visualize by looking at a two-dimensional dataset:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "np.random.seed(1)\n",
- "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n",
- "plt.plot(X[:, 0], X[:, 1], 'o')\n",
- "plt.axis('equal');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can see that there is a definite trend in the data. What PCA seeks to do is to find the **Principal Axes** in the data, and explain how important those axes are in describing the data distribution:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.decomposition import PCA\n",
- "pca = PCA(n_components=2)\n",
- "pca.fit(X)\n",
- "print(pca.explained_variance_)\n",
- "print(pca.components_)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[ 0.75871884 0.01838551]\n",
- "[[ 0.94446029 0.32862557]\n",
- " [-0.32862557 0.94446029]]\n"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "To see what these numbers mean, let's view them as vectors plotted on top of the data:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.5)\n",
- "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
- " v = vector * 3 * np.sqrt(length)\n",
- " plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n",
- "plt.axis('equal');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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EsHF+l0PGzs0Ly7IGmSofA5ioijz2WAe+/e0/AAC8/PJhDA8Pob6+oeTnKVX5x5m8/0za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\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Notice that one vector is longer than the other. In a sense, this tells us that that direction in the data is somehow more \"important\" than the other direction.\n",
- "The explained variance quantifies this measure of \"importance\" in direction.\n",
- "\n",
- "Another way to think of it is that the second principal component could be **completely ignored** without much loss of information! Let's see what our data look like if we only keep 95% of the variance:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "clf = PCA(0.95) # keep 95% of variance\n",
- "X_trans = clf.fit_transform(X)\n",
- "print(X.shape)\n",
- "print(X_trans.shape)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(200, 2)\n",
- "(200, 1)\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "By specifying that we want to throw away 5% of the variance, the data is now compressed by a factor of 50%! Let's see what the data look like after this compression:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X_new = clf.inverse_transform(X_trans)\n",
- "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.2)\n",
- "plt.plot(X_new[:, 0], X_new[:, 1], 'ob', alpha=0.8)\n",
- "plt.axis('equal');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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oI5VQUbE9VOpWhLlBAMfzuzqJiGg3YAATVS2VHczmyxAC0FUZ2QEdiiIhm26c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\n6h+T22+3MTa23PsbGwu3Ch0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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The light points are the original data, while the dark points are the projected version. We see that after truncating 5% of the variance of this dataset and then reprojecting it, the \"most important\" features of the data are maintained, and we've compressed the data by 50%!\n",
- "\n",
- "This is the sense in which \"dimensionality reduction\" works: if you can approximate a data set in a lower dimension, you can often have an easier time visualizing it or fitting complicated models to the data."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Application of PCA to Digits\n",
- "\n",
- "The dimensionality reduction might seem a bit abstract in two dimensions, but the projection and dimensionality reduction can be extremely useful when visualizing high-dimensional data. Let's take a quick look at the application of PCA to the digits data we looked at before:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import load_digits\n",
- "digits = load_digits()\n",
- "X = digits.data\n",
- "y = digits.target"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 7
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "pca = PCA(2) # project from 64 to 2 dimensions\n",
- "Xproj = pca.fit_transform(X)\n",
- "print(X.shape)\n",
- "print(Xproj.shape)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(1797, 64)\n",
- "(1797, 2)\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y, edgecolor='none', alpha=0.5,\n",
- " cmap=plt.cm.get_cmap('nipy_spectral', 10))\n",
- "plt.colorbar();"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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/PgDy8wsJBKazb98ekslktr502qCh4SjHjh2lvLwcl8tNTU0dc+bMo6EhSFFR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\nqgGgt7eXlpZmIBN0t2z5kO9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RS47xOHHH6yg40e0AthIm7vzdcO9Qx51+hJjrnzHUJjRR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\n7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X54MxKav6wIwapImIFy8DJf3Qc3boowPl7FdHR012WTlkBMTZAx0qiqg14tE5s6SXb1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qiSh9B5nJGbJeiBqME848hp+5BjWYQqvtjZ+O+j785Ab00kvoNQcyKlF2LbCUPYeuYOw7U1j1\nLaxVXiKZFCjvuJPUkhaM5NTsZcRERsc6oSD0mru6aVmewa+FtK3MzikRVh6vU5l0iRojwLrXznR9\nM8s4AoqK13w3nKGDuZnR5zTq7d7YzLKtbYgIujbkT7kV4VJIaCaWZlEP49G/gkLeOPUoVXpr3FQ9\ntwIGF5tMeNJZbc5ncCo1xl2fhKpwe+tZ5kdUE7f1fsypn6GIAD93E5F57kvfhd5ErfeLqPUJcGeI\n3Fw8B9bSGi/0CEuEVj9a/QDmkX+Enu14xV68wgq0iVdIDI6iWAr44yQm/oUwuYowvRGhmERallBJ\nIrRmJsq/YOqG9Rg/20/GrxO1a6gbOlHCIpHRTphah2Wt5h31PsYn9tFemuGNtgrLUBFahlp2M9vD\nGe6tldHV3XiZtQQGhMYqqj3/keTgXyO0HIgQo/QcSlRFqI3ELwSae4jQ6kcJJlFEhKoVGdoHwztc\nIjPEt3rY07eCTR/tR9E0TOCqj/Rz6JlxvErAils70M25ZdwURaF9dY7Qjxh4dgK35NOxNs/MUJWX\nv32QwuEKqlBotbM0L0nTdusHqfaZoKjxh5QzyLRbrL6zm4PbxlF1hdV3dZ80Pzjn7ygE404xTr6r\nsyQyFychaorGB3vfxy9GH8OPfK5v3UKntTDeYKWFRSY86aySmsqn+zoo+AFpTcPSzl53M0yto5Za\nFw8H5lkeTQgBfgL1ls1Y+/82XvjSfh2B/gbGWKPfm5qMV2JmUghdx8wNEtRaUROCuhWgKSqm0FDC\nMkoUf/IPzF7cQEUIwTb1AE8pRxBru2hJCe4Zy7AkUySTXEGIQKgmbuv76AwEmUO7OVyeYNqvMGRB\nrqmDVsUkSF2Jlr8fqCKOPIlReRltz6+ppT8Eq7agEM753SMtjyIaHQgUpbEpvRU/fytG4XFUbwTC\nlWj1vQgti9AyuJUIRTu2J83KG9QLHqXROq89NMD69/adMuns+tkgY7viotHD2wuURqrMHK4QBRGg\nICLB9f9mFYY1v7eA3s0t9G4+t/2dux8dZujV+PLqs2JS7QAAIABJREFUoafHuebTK0lkLs5bTl+q\nV/axk85KJjzpnGiKQqt5Hp/Q55nsokqF6Btfh/ERrCt/jNaZBSOJqTho4w/NlstSgiKqP0aU6EXZ\nsBExOky1s59HVx6i3T1CJoSVYSsd4lqCmQQYAeXkVqLKd/Cp8YQ1SqBuIhFOUmrRSUQBLcUx8Cfx\n8rehAOb0I6RqDkpNJ00Oi5DN0xnclEZCjbiyNMX1/gugDKH4RaLfPEvw6gya8TrBkvfg329jsBMA\noaZwW9+HXtuNEhbjupdmJ9bYgyhhFTUsIPRmevoOMTOsMjC9HKFlTmq6OvzqNKXROIGHfsS+X4+c\nMuFNH6zMfi0iQa3g49dCKpMuqhovqCmPujQve/NvAcWRGiOvFzAsjSXXtaGb8YeK4e2F2WPccsDk\n/hI9G09fLECSLjaZ8KQFxXvySRgfA0CNqjATQlt7Y+LouDlB1SBMrYtb4aTT+Gu38tWmQZ4TBTaV\nm+l2XQ6OtPGux02M8EFobWPH+9bjpdrpqr5BWVRQxQwJ1UANi2TrMyhRFUSIWXiMSG8lbOlDcUdY\n4h1mRmQRWguGSPBb9evYHCqgJlGCPeA76H5E9Y0iSuSiBhNow9twx24lWrcWrb4frbwda/zbRIle\n6u0fm92mUev6Iub0I+jVHShRjUQqYt11Axj1DszOJXTYc+eixNydGafsRg+Q7rAoDMRJT1EVNry3\njyf/ahcIgZkyyHYlGXNmaF6Wxq+HVMbrWE3mvOfhqlMur3z74Gwj2ZnBanwJVlEwkhpe5djf7MSW\nQ5J0qclXoLSweEdXc6l4M8tIJIcBiMxOvNxtmOWnEWqKIHUlh7QeHh57nJpQ6G/roqTuJYoUXso2\nQRY+99MAwgjQYHKCyVe/x4ql42hC47Zqlqe07US5u7GjPrqjSrxXDxUQQIhWd0DRuS+ZRQmSjKk5\nlvT/Z+ym9TD8P9DLL6LV94ESoEYKasZHTNRQIheEg+q9Rpj6fLwNolHAXXUHMcov4qWvRzz6c8T+\nfbgZH/3aNej6ARR/Gi3VQ68pwBgD5ia87o1NjLxRmN3AvfyWjlM+jevf08feXw3jlgI61uXpuzpu\n0Dr0yjTZFgs1paDpKrWCx8vfPohb8tEMlSvev4SW5afewzm8vcDYzhkSOYOVt3ViJDVmBqtzuqZP\nH6oQhQJVi5Psjp8M4tcCeje1nHG+T5IuBZnwpItG9UYg8ogSffGiiHNgbNkCz70Erktl5AbCq7pQ\n2+OFHnr9AJHeCVENrbabH4//kHLkE5ldOAPf4fpyFa3V4DXLR0dnVdSOVd0Hik5oLSUXCQrGFIqA\nVgV+t7KeZNPnacpNEBb/EqX8AoiQSG9G6M0oYQUUFSOzgXen1iK0LLWOW+JhlQKaN4giQtBMIq0J\n68Yp6j+vEfkqen8StWM3gwMVlIMRbV0KptUYngkf8eILiO2vAvGC0dpLCbJbNAQZot2DGNN/jTtp\no9xwE+ott80+P2ZK55pPraAyXsfM6CTzp9iLGJbJek+x+aaAIHsNkRnPua17dx9+LcRAhaTCkuva\nGHhuYrazeehHHNg2dsqEN3WgzK6fDc7e9so+G39rGanWxJyVm6kWc7aSStOSNDf+2zXn9HeXpEtB\nJjzpojAKj2EUnwUgtPpx2z92TklP6+5G/ewXYGQEWtvwG9VXrOG/jQ9QFDR/hEgIKpEPIkQvv0pk\ndrLC7+GqQon9VpINrsqK/oPUBwNEqKK3VtiyejPF6vNM6wZ6Yjl9ievxtC7CdDfVvq9gDf03NG+E\n0FqO0JvxM9eQKDyKWj+IUXwat+39jRhU3Ob3YBQeR5msENUNRKeF6N5A4pNjEGoohsbOl1tw9h9E\n9VeS1nyuf38BM5shSG+C4jNzfu+oahCkrkBMD4K3HyM9hju1EvHKy3BcwoN4A3e+9zR73oTAGvs2\nUWkknuvTXkK76t+jp1vIdlpc/anlDDw2zvhgiX2/HkFPzi3SrKinnnMtNtr6REHEuFPk8PMT+PWQ\nK96/BPtdPQy+PI2R1Fj9zgvX6keSLjSZ8KQLL6zNJjsArX4QtX6AKLnynB6u5PKQm7tYQ+h58Cfi\nr9FQVJUNqsvrtWkIS6QTXaxPdJAPdDZUkyhRHb3bQ79nmtBvQs/tw2Md6dSd9HrDuOn78JrvQXUH\nEKpFmN5AZdV/Qy8+h1l4BCUqodccIjUJ1kqEaqK6gyRG/hcKEGnNeLt8wsfj/ndR1kX8zu+S1H+G\nEswQaRn277sGlHjBSiVYxZHJZrpXrwcthbJmLeKVl1G8SbTaXow1rahugsjQEYCINBAapM7es9Cv\nhdSLPqkWE02tIqqjDG8vEPoRQlTY8+vHMbquINeVIvQjqkN1/GrI6M4Zeq9uJtViUp3y0C3t5Iav\nQoAIyPekUBQoHK5SK3iYWZ19/zrKxJ4SN/07m2s/LRejSAufTHjSmzbl+Qy5Hu2mEZc2U1TmXOcC\nOFu7l8hHq++HchOIjpNWd3ot92FO/hg1mKLefB8Ut3Nzdjmt+gheWOQ6fYCsqKAE0wjDINIyKOE0\najKEnIniB2jeEEpUQwlLqO4A1vh34suugJ+/GT9/K0LPgmIiVC1u21PdhZ/dAhDXBg0KCKMNvbKN\n+m9GCctNaJpCWBYEjo64/f9Ac48Qmd2oOYE6eSj+vYQg6StAXEJLWboM9WMfw3zxL1Bz/Wgr21Hq\nB1GadER7O/WdnZDLo953/xmftsLhCtu/P0DgRiSbTDZ9bClRJUnoTwJQLUQcfk2lXdSoTnrUix6t\n3ccuWYae4NoHVlIv+JgZHcM69ndS3SESE99DCcuYyZWsvvMOat/3EJGgMuHileqEXsQr//sg139h\nNUbywrf0CYOIyoRL1lqYxdCly4tMeNKbMlh3+e7QBH4kUBW4v7MFO5PCa3onZuExEIIgfSVRYtnp\nTyICrPFvobpDUEtgYuO1vmfuIVoWt+MT+L5LtVoGw0IP97I+vQwQGL6OVttHmFyNVttJaK0gMjoB\nQWR2Eel5VG8wnn9TTfTqHhAekdUPgFHcFncw8EYxyi9AWENoWSItg+YeQglmUPwpQitugSN8FUWP\nQOhxabHAgCAgslbEXQeAtfeW2f2PTxIIQddKj+4lQ4iR/0WQvZYo0YeW2kViA0RmOyBQogqoGZTV\na9Gvvh6a33nW53//k2MEbrxopFbwOPzCNH0bPk7pxYdQFI89znK8sAlVjy8nH78KU1GgY20OTVdJ\nt81tuhp4Ee6LD1H1R0k2m0wdfJ6JIwpmch1RC3HnckUh02nh10KqU+7pL7OeJ78W8vI/HaAy6bI7\nb7Hsjnba18gKKtL5m3fCs207DzxIXH/JBP6T4zjP2La9Ffgr4rXjjzqO8ycXNFJpQXq1WJltSRQJ\neHmmgp1JEWSvi+tFiiC+HHkGWv1gnOwa9MpreE13gJY+6VivfITszKPUQituraNoKIpCpGYQWvyz\nwvQmhJamlruFxOQPUMIykdmLr+dR/XEiowM1qqJ408dtjFcBBdUfQvGnUINpBCp+5lpQEgi9FUVN\noHmDhNYKRHYJ0ZqrYcpBBCpBbi3qHXGCUt3D6NWddLTk6flcDeEW0ZUyemU7oaigeUOo/gihtQrV\nH0OrH4yfo7CESMaLPMzSswS5G46VZBPh2UfJEI8kO3vIbH2AgWcmMLprNGt1ajMeibSBfU8PSUPn\n+Yf2Y+XN2TJlJ3rjXw7T6k1g6jXGds1gpHQ0zUXVVdpWZlAEKLqClTMwLI1k84UvWj706jSVybhV\nVBRE7Ht8VCY86U05nxHe7wO/cBznq7ZtrwG+DVwDfA34gOM4B2zbfti27U2O47xyIYOVFh5LnbsQ\nZU4VFi3NCdvGTkmoJ1yuUjQ4TRHjTOFHKP4kSdJU1SYUVUfXTCxlX7yCExCKRpBaF5cgS/THiVHL\nEqTXo9f2AIJC7UXGxBhBbS/tiS0Mtt9JUgyzyh2BsIpAIdLSqP4wQfLGRqACiAgymwmtlQSf6Cay\nn6UpGeGvuwE1nUb1RrDG/onSOEQRZHpa0EwTpVZAaDkioxPVO4LqjRMmVkDkQliOV4WiHEtqigKK\niuoeITHxfZSoQpi0cVvfP2fxz/KbOtj+gwFCL8LKGbOdxjvX5WldmeXpr+1m5PUCkS/ovqqJfF+S\nPT8Zma3BuetnQ+S6k6Rajo3wolAwdbAM2Svobn6GKBDUqwaF8ioAElmDW7+yjoO/GQcBS7e2Yabk\nxSJp4TufV+lfwmyHTgOo2badBUzHcQ407n8EuBOQCe9tbmtzlqG6x1Ddo9XUz15n8xSiRB9+9jqM\n0nOgaLgtd4F6ihGDEFhigsgfQlcMdKOHKH8TarKTunk3ZuEJzMIv4+0EaHHtSi2DaIyShNmJb3Yz\nNf1dhrQCVbONOh7fSL+EleiBYAd3iVd4R1RBAdSwhG+tJN6Xp4Ci4Odvx8/fAoBWHyC18jWspMCv\njlBPfwy1fgBnW4JD2+Mk3r4iZM0D/xG9toPE5MNxSTHVQmgplKiCErkIs4MwaaPVHJSwhtAzePnb\nQbUwpx5GCeNWSlp1F7r1GkFm0+xT0rwszfVfWI1bihet6Iljo8DBl6Y4/NxEPC9nQWXcZeDZSULv\n2KhORKKx4OVYwlM1hWSzyeTUBmamm9BEEZc+FCOHqiks2dJGpt3iived3OniRIXDFUJf0LwsPbtd\n4Vz1XNXM6I4ClYl4ZLn89gvXoV1anM6Y8Gzb/jzweyfc/YDjOC/att0F/CPwZSAPFI87pgSsuJCB\nSgtTStP47b4O/CjCUM9tr92p+M134udvJd3RRDhRPfmAsIrqDqB7h1Gj8fguPaLSdDWREY9q/NyW\neCN4g+qPEaqpeEQkQrTKa+iV7YxpY7iigBIZHDQDCkqFLkARHv8aVlh1aCP5pimy7SFhbgt+7mZU\nd4DI7CTIXDd7fjH4C155TCfyEjT1TrLknS9RrzfNJjuAsYEcnUM+TUs24UV19Mp2RHIFvppBq+9B\nGC0E1kpQFMLMldTaP47qDqIFU+jlV1H8KRR/AqFlQLUgOtZA96hERj9ljcrADedsM4hCQSJvYKJR\nfKPOxO4ioR+R700R1EKKwzXS7Qm6rmhiw3v7+NWfv055NEWuu5V19/eR70mRbkvMSY5n4jw6NNuq\nKN+XYtNH++eV9IykxjWfXkF10qWnv5lS7eTfXZLm44wJz3GcrwNfP/F+27avJL6U+RXHcZ60bTvH\n0Z4qsRxQOPFxJ2pvv/wqL1xuMV9u8cIpYq7sh8HvxP9qNUit4HClTi1Q6Q+fxWy/D4wslEyoHPdm\nnFoLHXdDUISZl6HwIkQTLFF8XtcNElRJ6Wm0zDLSqQSVqYjxXW3sfG0rRGW23LmPjr4IeB2W3gup\n/vi8kQ8oPPsPCWaG44u2pcksrXZE6zWbMZuGwB2Ly4dl1tDWnqG5PQPtdwF3zf3dSg6J8V/GlzDb\n7yIdFKH8VPy94uPgD0BQglCHlhtJL91CqKTZ9cshisNVWpZlWH17N6qq4FZ8vEpAujWBqqkk7zAY\ne3mGg8+NE/kR/Vvaufq+fgqHy4zvK5LvSJHvSTGzr8Lgc1N0rskxtbOEpRhk2i26VzVBfBWTwq4K\n139oFepp9umdyKsGzOypkE7HI/VgOkApQ/uq83g9NhptWBep28LFdDn+/3s7O59FK+uBh4APO46z\nHcBxnKJt255t2yuAA8DdwH8527nGx0vz/fFvqfb27GUV8+UWL5w6ZmvkJ6heCdVX0eplHisv5ze1\npQjFoNUZ57envwXdn4SoE8tvQfWGAUGkNxFOjhGZPSRKJTRPQfUC2lFYmr2Gg8kMfdnb2KoH7Kvu\npXDAZeOB9+NSx9JmqE5NUpvaQ2R2IwrfpNbzHzCK2zBKT6P40wQzBkE1iW614kUWg2NdmLU6HTdt\n5MBTcT3QrlVNBJY4w9+hB7KNKv81SExsQ6vGMwZ65QAoGqG5HkW4eKzEK2js/dU+Dr8Qbzs48PI4\nr/5sAIDyWI1MR5JsV5JNH12GntDY/Pnl9N/Zjp7QaF2RYduDu6mPuBx5fQpFBavdYHKoTOhGVCpx\nWbe9L4yy9Pq22dsAqq4wMVFCOcdi4IEbUq35c7qvzxSrKOPzu6x51NvltbyQLYbkfD5zeH9GvDrz\nq7ZtAxQcx/kA8CXgW4AGPOI4zvMXLEppkWusAjVaEYmlPF3pRhAgtDTjgc6+SpmVAKpBveO30dxD\n6MXfoLlHUEvPNU7hE1rLUKIqSlimz9xCW9unQEtzTVRHTHyHwZ1DDIxPEKgt6HqArnuNhq0qQs+h\nzzyOWXwKIh+9+jr9K0ymRm8BRSPIXU3zqrjKSP+N7XRd0UQUClLzXL0YGW1oOI1bGkJNIfR8vBld\nbwKgNHbs0t7YriKGpeGWfYJ6iGbGc3gjr46ycvkTpOoHaWrrxG37IDPjLpP7SqTTJul2i/HdRVLj\nLlEgSLUeGxmnWkza1+RoXpZm+lAFRYFVd3Sdc7ID0BNx1ZU9j40gIkHPpmaalpy86laSLqV5JzzH\ncd5/mvuf5YI2Y5feTobrHtUwpC+ZIDHPuT4/f2u8vcAdBlQUoxnFHYk3gYcVNLP/2MGqQZhchTn1\n8JxzBOmrCMIJDidNzPTNoG/l9ekKSa3I1uh5clO/ImdP0KwnGNjXj0gupaUvjlP1joBvkghd9Nou\nwkQPCEHbEpfVuISehbFpKUZSY3THDJlOi3Truc1znfS75m5Gieqo7hFcawWqP4oSVojMLvzsVgCa\nl6ZnOyH41YBspzVbD9OvBiSbTNLRc2i1/Y34hzELv0TTj+1tTLclqEyYuGWfTKeFCAVW3iDbmWT1\nnd2omsLGDy+jOumiW9p5dTPv3dxC5/o8USjkKk5pQZCvQumie3qqyJNT8ZqmVlPnk70d59RE9qgw\nuQq3+T6ssW/ha1nuUX7KT5RNqGqe9YkSK5r7ObFLjtBbGqs1Y5VUP/9gjjEpBHX/aWaO6HSKeJXh\nsF/gAe8wChE9q0N6Vr+Gn29BiI1E9QMoUY3Q6keoaYSWjFdNKhrCaGHJlZBubcEZN3jhm/uIAoGq\nK2z80DKal53HiEbR8JrvOe4XieKFKmpytvrMshva0AyV0kgNPaESuBGqpjCxr4yVN0m3JWhbpoF/\n3GnDKunOBMtuaGfitRkg3l5w/GbxZJNJveiz+9FhVt/ZRSITz+W9GcevGpWkt5pMeNJFJYTg6cKx\neYxJL2B3pcbG3PySgRpMEWhJtkev0Gns5hPGHmYym9mkrcLVTq7w4ba+F3PqpyhhkTC1gZ0WTIZx\nLc6ia3EgPEynGie8A3UFEUyiKSFCMfBzN+LntqCXtyP0LIrvo1e2E6SvJEhdSWgtIbRWovpToFnQ\n9y4GHz1IFDQuvQaCwZenzi/hnUhRj20+P3qXorBkS7wyNfQjDr8wiVcJuK4vRSIXJykRmjC+o7Fh\nXcHPXAXAils62HzvMibGS/zyT7cz9Oo0qqZgNRlUJl3SrQlKIzX8esjmj/W/+fgl6SKybdsA/h5Y\nBiSAP3Uc58enO14mPOmiUhQFXVEIjtuCrs+zCzpAZHZREjNUqTJmtZAOalSjfXhqN0QeiCDuOxcW\nCZJriaxluK33g5qOOyxEr8+ey9J9VI6OMAXNag1Sq4j8cVBNgsw1+M3vQvNGiYSP0PJo1TdQvVH8\n/E24bR+em4T0NLruo9X2oAiPSq2d4pBOreCRbLrwFUiOpxkq/TecvD8tMpZS6/wsmjtAZHQQWUtn\nvzf8+jTOb4aZ3F+iOFxD1VT8mknv1S2zx1TG6/i1kPE9RXRTpd3OzWsOT5IukU8C447jfMq27Wbi\nvd8y4UlvnXs7mvnJ6BR+JFidTrI2c/YOACcKk6upttzNVHmQwVQX+y2LRP0g19WT6FM/QRR+ETde\nBYyZJxBKAlSL0FqG2/YR1inr2aXsYJ/YS4sV8umOdUwUDZKayv3GNIFyDUpQBEXHz8eVVY5WgBFa\nhiCzBT9zNX7LvScVtgZYt34brlNicFeC4mQVPZXghW9GbP7E8nldFpw6WGbolWk0U0XVoDhUJ9WW\nYM2d3fMuzuwGLQy/oQAKPVeFGEmNwy9MMvzsFIO7phnbVURPaJhpFSOpzan1ne9N8dK39lOdildq\ndqzLs+H+vjnnH3OKDL86jZHSWHl7J4nLcNuAdNl7CPhe42uVuLTlacmEJ110q9NJ/n1/N14kSOvn\nP6fTkr2bRMrilehprKrDvf46dFQUfxy9to8gfRVoSbTaXiKjnSixFK1+CL3yMkH2Oj6kf4SyKGGS\nwGwyIV70iFZ7F2Lyh6ArBOkNhMm1AHhNd5EICqj+JGFyOX7zO0+Z7BCClDnEjR+JeOJbTeQ7A0Kt\nQuDm40Ust51bwtv/5BhPfXUnIoJETif0BD1XNVMej1dlnphwziT0I1759sHZWpSjOwpc8+kVFA5X\nCLyQyX0latMeqgahF1douecTyxnfXSSRNUjmDXb85FjD17GdM6y5q3u2m0JxuMaOHx2eTZLVKY9r\nPy1rTUiXluM4FYBGta+HgP/zTMfLhCedt1oYcahWJ6Np9CXPvCrRUFWM8y/EMutm7VZuUm/B5AmM\ncBtq/QCaewRF+BiVV/DTV6GIEKEemz9TxLEPfRnl5L1GYXIVtd7fBxHMKWkmjBbq3b/T6HB+iuAj\nF9UbhaCXyOxFdQ9jpSPqFQ2hxT/nXEdl9aLPjh8fJvTi5TdT+8skMjpRKFA1heqEe5YzzFWZdKlM\nuoReRGmsxsxgldXDNbKdSfb8dIh60W/8SgqKppLI6eR6UrT0x62DCkfmVrvRTBXtuD9gabQ2Z0RY\nHq0hhJCXPaVLzrbtJcD3gb9xHOc7ZzpWJjzpvFSCkAcHx5jx47qMN7fkuLHl0lSyVxQFP3cTSlgl\nUXmdyOwkTCxFqx9EUVTqbR9C846AEAg9R5C+8hxOqoJymvm2UyQ7JSxhjf4DSjAD1RR++nY0ow37\nnjIvP9ZLUMnStio7Z17sTLxqgJHSUVQFEQl0S0O3tNlSXC3LM6d97OT+Mrt/MUR5rE7b6hxr7uqO\nS40JwfD2aYJ6XGJs96PDXPuZFez+yRDZaRe/GuBVAqIgIvQiymM1mvriDwpNfSmW3dDO4ecm0AyV\ntff1zikLlutOoWoKURhnvXxfSiY76ZKzbbsTeBT4Xcdxfn2242XCk86LU6nNJjuA5wulS5bwAFB0\nvJZ7Ub2heJQFhKm1uK3vIUxvRPHGUMMZQrMPtPnPGZ6NXn4pTnYAIsQoPU+9+4sYzQFb+4eJlCSY\nbed8vky7RdvKLKEbURqpkW632PTxfqoTLqnWBL2bT91RPPAi3vjRYab2l5k+VObIi1NM7iux9Yur\nWXp9G0densJIajT3Z6hOunjlgKXXtlEpudRnPFAUct1J2tfkGHh2cjbhQbyic/nN7adMZNlOiys/\ntJTh7QWMpMbymzrm9wRK0oXxR8S1nP/Ytu0/btx3r+M4pyy8KhOedF7ME2oqmm+icPSb4ba8l8Tk\nvzS2H6wnTMWjOWF2EHJub8J68WmM8osI1cJreTeR2X0Ojzrh91VUiPxjjWwVBS//DoLc9ecUg6op\nXPXRfsZ2xkk03ZZg8KUpUOKOCKcbPQX1cPayJQBC4FUCxnbN0L2xmSXXts2W93LLPk9/bTcTO4oE\nIkJPaHRtbKJrXTyZeaofcaZRW0t/ZvYSqCS9FRzH+TJxA4Nz8ta8S0mXvfWZFHZjtaWlqbyr49Qj\nkItNmO3Uu79Ire8reKdZQXkmav0gZuHXKEER1RsjMfHP5/Q4P3MtkdlIqGoCr+mdqNVdxxrZCoE5\n8zhzJrrOQjdVeq5qpm11lu3fH2D49QKjO2Z49X8fJPBO3FofS2R1mpamZ+fXdEsjkdExUjqplgRr\n39WDlTdINCqlTB+q4NUCvHJA91WNHnyAmdLpl6M06W1OjvCk86IqCu/rasWNIgxFQb1M52/Uo5cl\nG5SwdG7dxbUk9c7PogQFApHjN984iDc5SW93mg23V1BV5pV8o1AgIoFmqEzsK3HgqTGCekgiZ9C5\nLk99xjvl9gZFUdj4oaVkOyz2/esIRlKn84omejfHc4ddVzTRdUUTlQmX5/5+L24xLr8ioniBiX1P\nD6vf0YWVN2RVFOltTyY86U2Zb13MhSa0lsfNWMN4VWKYtM+e7I5SNITRyqvfO0Kt4IHWytDBLpp3\nH6FvnY/bfM85Jb2R1ws4jw4RBYK+a1spDlVnq7a4RZ/KpDvbofxUNENl1Tu6WPWOrtMek2w2yXZa\nCCFQI4VywaVjbY517+49rzqZkjQfB7eNn/+Df+/0r+v5kglPWtSEnqPe8Wn06k6Eloz38s2TVz26\n7UElSG2glLyGak83aGcvLRZ4Ec4jQ7OrHY+8MImeUOnckGemsTVg2dZ2dPPcP1hEoWDPL4eZHqiQ\n6bCw7+nBsDSu+mg/Q69Mk88nSS1NYKblf3/p0vhwf+XsB10C8hUvLXrCaMHP33Tej196TRtTD8f/\noQ1Lp/2KpaCdW0mxKIhmk91R7WvzhK9Nk1ibR0+orLi1c17xDDw7wdCrcafx2rSHbqqsvbcXw9JY\ntrXtsuvTJkkXikx40kn2Vmo8Ol4gEIKbmnNc0yRX4p3Jmtu7iZKCetGnZXmG5CkuPwZexMAz47jl\ngM51eXRLY8dPjuBVgsaGbQCFbKfF6nd00bupmeqkR643edL5olCw66eDTOwrkWo22fC+JbM1Oyf3\nl9n72DClsTr53hSKqlCd9uY8fmRngVd+fghNV1l5RxfZzjfXEUGSLhcy4UlzuFHEjxt1LwF+NVlg\nSTJBR0LO85xJ64ozd4ve+fARJvbEo6rRHTOAQBy38LLv6lbyS9K0rsigGSrZziTZzmP7ByuTLnt/\nNULghuimytTBeERZGq3jPDLEpo/2MzNYZfv3B6iXAgoDFfxaSPuaHG2rsnPOs+Ohw5RLceWW7f98\niK1fWoOqXp6LjiRpPmTCk+Zww2g22UG8qr6JxY4gAAAMo0lEQVQShoBMeG/G0YatEK+QLI3WZhOa\noigkm0067NNv3H/1oUOzKyynD5ZJt1uzc3BeOZ5DnB6oICJBui1BvZikcKhC6/IM6bZjI7jqlDu7\nLw/ALQf41TCuzCJJb3OX9xI76YLL6hrLUsfqYraYOj3WhWlxUw8jfjA8yX8/OMyPRibxolPvLXs7\nynTMvWx4fMkxI6nRuipL4IYnPozSaJ1tf7ML52eDHHpmnHFnhjAQc47tuiLeOH5020JQDymP1kl3\nWKiGyhs/Ooxfj4/PdSepTLoMb59mfHeRZJOJmZbbEaTFQX6sk+ZQFIUPdbXxRrlKEAnWZ1MXbOvB\nE1Mz7KnEFUF2lWtkdY072pouyLnfSkII9jw2zNjOIlbeYN27e0m1zC2mvf7+Jez99QhuyadrQxPd\nG5sY313CK/ukOyxe+94A1UmXTLvFxg8vnW214zwyhFcJEZFgeqBMddIg2WKx6o7OePQ9XufwCxOM\nvFFg7X29rL6zm4Pbxki1mLQsjy9lhl6EVwkwLI3ymItuqZgpHUVT0C1V1sCUFg2Z8KST6KrCVfPs\nSH4ujq+9CVAMTh7RXI6OvDrFkRengHiLws6fDnLNb89tlZPI6Ky5qxtFVWa3GBy9hLnjx0eoNtr4\nlMfrHNw2jn1PDwB+Lb5cmcgbRIfAq4SY6ZBdPx0ivyTF6BsF0u0W7WtyvPHDw9zwO2vo2pDnhW/u\nj/cGEte9PLqopTxWJ5E2aF0ZJ8N6wb+YT40kLSgy4UmXzNpMkgPVYzVd16QvfFHnt0J9Zu4qyKNz\nbcfb9/goA89OoCiw8o4ullzbOvu9Ey9lHi0jVi/6zAzVOPDEaNzOR4FMpxV3NhivkW6PR5GV8Tpt\nq7K4pXjFp57Q2PyJ5Qy/No2iQs+mltlOB01LUoy+VJj9WU3LLvwHG0laqGTCky6ZK3NpUprKsOvR\nayVYnnp7LIfvXNuE9shhQj9OVB3r8nO+XxqtM/DsBBAvAtr36xE61uZnF4r0Xt3K9KFK3PtOV+i5\nKq5LuvPhI4w7M+gJFVVXUDUNK2ugJTRCLyTZbKLq8WhRUeMR49HLk4mMTv+N7SfFmu9NseWTK9n1\n1BCJrM6yG04+RpLermTCky6YUddjzPXpsUxazVOv6lyZTrLybTKyOyrXmeTqTy5ncn+JRNagc/3c\nhHc0ER4lRLzh/KjWFRmu/cxKymN1sl3W7PxfZdIlqIXoCY1Me4LAEzQtTcdbFrqTlEZqLLuhjdYV\nWVpXZum68tzmQztW5VDyct5OWnxkwpMuiF3lKj8enUKIeA7woz1t9Fpn7oL+dpLpsE5aiXlUridJ\n89I0042tCZ3r8rNzakel2xKk2+Y+Xx3r8hzcNo5fDdAMjd6r82z66HKalqSxcnKbiCTNl0x40gXx\nykxlthNOEAleLVYWVcI7E1VV2PjhZUwfKqOoCs3nOG+2+h1dmGmdQ78ZJ9WaYPU7u2nqS13kaCXp\n7UsmPOmCsLS5Wxesy7yLwoWmaspZq7GcSFEU+re2079VzrNJ0oUg35WkC+L21jytZmMRhmVyQ/Pp\nq4ZIkiS9FeQIT7ogmgydzy/tIogEuqzLKEnSAiRHeNIFJZOdJEkLlUx4kiRJ0qIgE54kSZK0KMx7\nDs+27TTwT0AT4AGfcRxnyLbtrcBfAQHwqOM4f3JBI5UkSZKkN+F8RnhfAJ53HOc24EHgDxr3fw34\nuOM4NwPX27a96QLFKEmSJElv2rwTnuM4fw38WePmMmDatu0sYDqOc6Bx/yPAnRcmREmSJEl68854\nSdO27c8Dv3fC3Q84jvOibduPAVcAdwN5oHjcMSVgBWfR3j6/jbgLweUW8+UWL8iYL4XLLV6QMUtv\n3hkTnuM4Xwe+fprvvdO2bRt4GNgMHP+XzQGFUz3ueOPjpXOPdAFob89eVjFfbvGCjPlSuNziBRnz\npXC5Jmfbtq8H/txxnDvOduy8L2natv2Htm1/qnGzAgSO45QAz7btFbZtK8Sjvifme25JkiRJOle2\nbf8B8HfAORXuPZ9FK18HPmHb9q+JV2t+tnH/l4BvAc8CLzmO8/x5nFuSJEmSztVe4IPAOVW8mPe2\nBMdxxoB7T3H/s8AN8z2fJEmSJJ0Px3G+b9t2/7keLzeeS5IkSYuCTHiSJEnSoiATniRJknS5E+dy\nkGwPJEmSJF1U27Y9ed6P/Qhbz/h9x3EOAjeey7lkwpMkSZIuKvOmqbc6BEBe0pQkSZIWCZnwJEmS\npEVBJjxJkiRpUZAJT5IkSVoUZMKTJEmSFgWZ8CRJkqRFQSY8SZIkaVGQCU+SJElaFGTCkyRJkhYF\nmfAkSZKkRUEmPEmSJGlRkAlPkiRJWhRkwpMkSZIWBZnwJEmSpEVBJjxJkiRpUZAJT5IkSVoUZMKT\nJEmSFgWZ8CRJkqRFQSY8SZIkaVGQCU+SJElaFGTCkyRJkhYFmfAkSZKkRUEmPEmSJGlRkAlPkiRJ\nWhRkwpMkSZIWBf18H2jb9lrgGaDDcRzPtu2twF8BAfCo4zh/coFilCRJkqST2LatAv8d2Ai4wBcc\nx9l3uuPPa4Rn23YO+Augftzd/wP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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This gives us an idea of the relationship between the digits. Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits, **without reference** to the labels."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### What do the Components Mean?\n",
- "\n",
- "PCA is a very useful dimensionality reduction algorithm, because it has a very intuitive interpretation via *eigenvectors*.\n",
- "The input data is represented as a vector: in the case of the digits, our data is\n",
- "\n",
- "$$\n",
- "x = [x_1, x_2, x_3 \\cdots]\n",
- "$$\n",
- "\n",
- "but what this really means is\n",
- "\n",
- "$$\n",
- "image(x) = x_1 \\cdot{\\rm (pixel~1)} + x_2 \\cdot{\\rm (pixel~2)} + x_3 \\cdot{\\rm (pixel~3)} \\cdots\n",
- "$$\n",
- "\n",
- "If we reduce the dimensionality in the pixel space to (say) 6, we recover only a partial image:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from fig_code.figures import plot_image_components\n",
- "\n",
- "sns.set_style('white')\n",
- "plot_image_components(digits.data[0])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "But the pixel-wise representation is not the only choice. We can also use other *basis functions*, and write something like\n",
- "\n",
- "$$\n",
- "image(x) = {\\rm mean} + x_1 \\cdot{\\rm (basis~1)} + x_2 \\cdot{\\rm (basis~2)} + x_3 \\cdot{\\rm (basis~3)} \\cdots\n",
- "$$\n",
- "\n",
- "What PCA does is to choose optimal **basis functions** so that only a few are needed to get a reasonable approximation.\n",
- "The low-dimensional representation of our data is the coefficients of this series, and the approximate reconstruction is the result of the sum:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from fig_code.figures import plot_pca_interactive\n",
- "plot_pca_interactive(digits.data)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here we see that with only six PCA components, we recover a reasonable approximation of the input!\n",
- "\n",
- "Thus we see that PCA can be viewed from two angles. It can be viewed as **dimensionality reduction**, or it can be viewed as a form of **lossy data compression** where the loss favors noise. In this way, PCA can be used as a **filtering** process as well."
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Dimensionality Reduction: Principal Component Analysis in-depth\n",
+ "\n",
+ "Here we'll explore **Principal Component Analysis**, which is an extremely useful linear dimensionality reduction technique.\n",
+ "\n",
+ "We'll start with our standard set of initial imports:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Choosing the Number of Components\n",
- "\n",
- "But how much information have we thrown away? We can figure this out by looking at the **explained variance** as a function of the components:"
+ }
+ ],
+ "source": [
+ "from __future__ import print_function, division\n",
+ "\n",
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy import stats\n",
+ "\n",
+ "# use seaborn plotting style defaults\n",
+ "import seaborn as sns; sns.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Introducing Principal Component Analysis\n",
+ "\n",
+ "Principal Component Analysis is a very powerful unsupervised method for *dimensionality reduction* in data. It's easiest to visualize by looking at a two-dimensional dataset:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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HTQBAMWJDD9gqpsMmAKBYEcSwlWljDwBA7ghiAAAMIohha3Zt2HLPaLanBAD/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\nAMCg/w85QKqqEWF8rQAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "np.random.seed(1)\n",
+ "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n",
+ "plt.plot(X[:, 0], X[:, 1], 'o')\n",
+ "plt.axis('equal');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can see that there is a definite trend in the data. What PCA seeks to do is to find the **Principal Axes** in the data, and explain how important those axes are in describing the data distribution:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[ 0.75871884 0.01838551]\n",
+ "[[ 0.94446029 0.32862557]\n",
+ " [-0.32862557 0.94446029]]\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "sns.set()\n",
- "pca = PCA().fit(X)\n",
- "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
- "plt.xlabel('number of components')\n",
- "plt.ylabel('cumulative explained variance');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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Azl06PcuViIiIHJt0Zr/HCXdo+2bmy8mORBDw6HN7KSsp5NQFU7JdjoiIyDHR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\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance. Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations."
+ }
+ ],
+ "source": [
+ "from sklearn.decomposition import PCA\n",
+ "pca = PCA(n_components=2)\n",
+ "pca.fit(X)\n",
+ "print(pca.explained_variance_)\n",
+ "print(pca.components_)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To see what these numbers mean, let's view them as vectors plotted on top of the data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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vOrOQqNbnxOxaJ/bteQftH/4epw6+M+pe3zkLrsCiFZ/BwituRApezAo4MZCW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\ncjyl4sjpMADrgApJFKDpOgz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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.5)\n",
+ "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
+ " v = vector * 3 * np.sqrt(length)\n",
+ " plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n",
+ "plt.axis('equal');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Notice that one vector is longer than the other. In a sense, this tells us that that direction in the data is somehow more \"important\" than the other direction.\n",
+ "The explained variance quantifies this measure of \"importance\" in direction.\n",
+ "\n",
+ "Another way to think of it is that the second principal component could be **completely ignored** without much loss of information! Let's see what our data look like if we only keep 95% of the variance:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(200, 2)\n",
+ "(200, 1)\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### PCA as data compression\n",
- "\n",
- "As we mentioned, PCA can be used for is a sort of data compression. Using a small ``n_components`` allows you to represent a high dimensional point as a sum of just a few principal vectors.\n",
- "\n",
- "Here's what a single digit looks like as you change the number of components:"
+ }
+ ],
+ "source": [
+ "clf = PCA(0.95) # keep 95% of variance\n",
+ "X_trans = clf.fit_transform(X)\n",
+ "print(X.shape)\n",
+ "print(X_trans.shape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "By specifying that we want to throw away 5% of the variance, the data is now compressed by a factor of 50%! Let's see what the data look like after this compression:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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5v3/1UiWpHHyTBRsAkJ9QsPunOpK6gsCTcc89KvbuFWHbjdf4eh5mFGF99asWLn5vAd/5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\nIooRg5iIiChG/z9dGbgyFL2qxAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X_new = clf.inverse_transform(X_trans)\n",
+ "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.2)\n",
+ "plt.plot(X_new[:, 0], X_new[:, 1], 'ob', alpha=0.8)\n",
+ "plt.axis('equal');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The light points are the original data, while the dark points are the projected version. We see that after truncating 5% of the variance of this dataset and then reprojecting it, the \"most important\" features of the data are maintained, and we've compressed the data by 50%!\n",
+ "\n",
+ "This is the sense in which \"dimensionality reduction\" works: if you can approximate a data set in a lower dimension, you can often have an easier time visualizing it or fitting complicated models to the data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Application of PCA to Digits\n",
+ "\n",
+ "The dimensionality reduction might seem a bit abstract in two dimensions, but the projection and dimensionality reduction can be extremely useful when visualizing high-dimensional data. Let's take a quick look at the application of PCA to the digits data we looked at before:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.datasets import load_digits\n",
+ "digits = load_digits()\n",
+ "X = digits.data\n",
+ "y = digits.target"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(1797, 64)\n",
+ "(1797, 2)\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "fig, axes = plt.subplots(8, 8, figsize=(8, 8))\n",
- "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
- "\n",
- "for i, ax in enumerate(axes.flat):\n",
- " pca = PCA(i + 1).fit(X)\n",
- " im = pca.inverse_transform(pca.transform(X[20:21]))\n",
- "\n",
- " ax.imshow(im.reshape((8, 8)), cmap='binary')\n",
- " ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n",
- " transform=ax.transAxes, color='green')\n",
- " ax.set_xticks([])\n",
- " ax.set_yticks([])"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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md30buO24uUeWeZRkFd8q43vLmmZdPK9Ssswqyeblm6uWnVdtniCIZdC2TKkZ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0WCoeVKGhXqEqkkjL45TB8p0Gpum3VIanM7TN8AsqmRUJrEhsXWaPFzqgQhln82lFRbiJlZrCHD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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's take another look at this by using IPython's ``interact`` functionality to view the reconstruction of several images at once:"
+ }
+ ],
+ "source": [
+ "pca = PCA(2) # project from 64 to 2 dimensions\n",
+ "Xproj = pca.fit_transform(X)\n",
+ "print(X.shape)\n",
+ "print(Xproj.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Uex4xooTc3GTgUUX/OT1NFOE0biAajdLcXMfkaaVEYg7q6h0EepJ1SE+cqOPj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\nTTP1H040FsapuQctJm1ggEiuzLQUCwM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YFK8TyX0YSmAFlhKIEIuLFlmUKOGYLirudxHk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\n1lYSiQSpVArbtqmrqwPgjDPO4IU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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y, edgecolor='none', alpha=0.5,\n",
+ " cmap=plt.cm.get_cmap('nipy_spectral', 10))\n",
+ "plt.colorbar();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This gives us an idea of the relationship between the digits. Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits, **without reference** to the labels."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### What do the Components Mean?\n",
+ "\n",
+ "PCA is a very useful dimensionality reduction algorithm, because it has a very intuitive interpretation via *eigenvectors*.\n",
+ "The input data is represented as a vector: in the case of the digits, our data is\n",
+ "\n",
+ "$$\n",
+ "x = [x_1, x_2, x_3 \\cdots]\n",
+ "$$\n",
+ "\n",
+ "but what this really means is\n",
+ "\n",
+ "$$\n",
+ "image(x) = x_1 \\cdot{\\rm (pixel~1)} + x_2 \\cdot{\\rm (pixel~2)} + x_3 \\cdot{\\rm (pixel~3)} \\cdots\n",
+ "$$\n",
+ "\n",
+ "If we reduce the dimensionality in the pixel space to (say) 6, we recover only a partial image:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from fig_code.figures import plot_image_components\n",
+ "\n",
+ "sns.set_style('white')\n",
+ "plot_image_components(digits.data[0])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "But the pixel-wise representation is not the only choice. We can also use other *basis functions*, and write something like\n",
+ "\n",
+ "$$\n",
+ "image(x) = {\\rm mean} + x_1 \\cdot{\\rm (basis~1)} + x_2 \\cdot{\\rm (basis~2)} + x_3 \\cdot{\\rm (basis~3)} \\cdots\n",
+ "$$\n",
+ "\n",
+ "What PCA does is to choose optimal **basis functions** so that only a few are needed to get a reasonable approximation.\n",
+ "The low-dimensional representation of our data is the coefficients of this series, and the approximate reconstruction is the result of the sum:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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K2IkTJ8Q+tV5fnH2WSGMXL15Uxg4dOiS2HTx4sDIm1XG//vrrlTG9h/Rpvfa4Mh9SXf3s\n7Gyx7SeffKKMSTXSpeclSM8tAbTrkLvyuQfUtvATdyIiIiIiA+DCnYiIiIjIALhwJyIiIiIyAC7c\niYiIiIgMoMXenBofH+9U++PHjzvVXroZyBbSjSx6vvrqK6f6njRpklPtiYiIqPW4fPmyw23vvfde\np/qeOHGiU+3Dw8Odar9q1SqH20pFDWwRHBzsVHst/MSdiIiIiMgAWuwn7mRsUvnFXr16iW2lb0ty\ncnKUsZtuukkZk8pTAtqlylxZvuyLL75Qxj788EOx7erVq5UxX19fZezbb79VxioqKsQ+u3Tp0mSb\nK0tqFhcXK2NSmUIAGDp0qDIm5ePcuXPKWHV1tdinXglTZ0mlCPX6lsqFjh49Whlz5ltBrXKQWtsc\nFRAQoIxNmDBBbCuV5vPx8VHGpBKoly5dEvv09/cX486SynPqfbuclZWljEnlU6VjkkpFAsCxY8ea\nbHPl64c01/RK2UZHRytjd911lzImzZ38/HyxT633EleWT6W2hZ+4ExEREREZABfuREREREQGwIU7\nEREREZEBcOFORERERGQAXLgTERERERkAF+5ERERERAbAcpDkFlLpr+uuu05sK5V8lMoYSiW59MpB\nutv333+vjOk9cGvTpk3K2IEDB5Sxnj17KmNa5R6bU21trTI2fvx4se2QIUOUMW9vb2VMylVISIjY\n54ABA8S4s6QSmFLpTEC79J5Z7969lbHz588rY1LpzObQvXt3ZUwq9wgA27ZtU8amTZumjPXt21cZ\n05sfDQ0NYtxZkydPVsZmzpwptj19+rQyJv2ed+zYoYyNGTNG7NPdpFK9U6dOFdtKJVKDgoKUsZqa\nGmXs8OHDYp/SuUZkL37iTkRERERkAFy4ExEREREZABfuREREREQGwIU7EREREZEBcOFORERERGQA\nXLgTERERERmAW8tB5ubmOtz2+PHjTvV98eJFp9pLZaHc3b9eeUA9kyZNcqq9KwQEBChj3bp1E9v6\n+fkpY1IpycuXLytjV65cEft0N6k0o16pwR9++EEZk0rjxcXFKWM9evQQ+ywtLRXjzpLOr5MnTzq8\n3/bt1S9pUklOf39/cb9Tpkxpss2VJQClfO/atUtsW1JSooxFRkYqY9Jr7EcffST2qTVn6+vrxTYq\nWqX99MovSqTSexkZGcpYdHS0MjZy5EixT+kctYeXl5dmKV2pVOXs2bPFfWZnZytjK1asUMak9zDp\n9QzQLgcslXC0V3l5uTImlbEE5NKrycnJypg0/oceekjsU6ukq1Qy2R3Onj3rcFvpNcYW69evd6q9\n3ppBT1RUlMNti4qKnOpbKm3rKH7iTkRERERkAFy4ExEREREZABfuREREREQGwIU7EREREZEBcOFO\nRERERGQAXLgTERERERkAF+5ERERERAbg1jru1HZ16tRJGSsrKxPbfvPNN8pYhw4dlDGpNnhtba3Y\np1YNalfW6ZZq68fGxopt9+zZo4xVV1crYxMnTlTGCgsLxT7dXcddqssr1eMHgKNHjypjlZWVyphU\n31vvd6BVw9mVdam16jyb7d27V2wrPdtAqr+8fft2Zezjjz8W+3z44YebbKuqqhLb2EOqCV9QUCC2\nlZ7ZMGLECGVMes3Sq8Xs4+Nj0zZH5eTkKGN5eXliWykf0u8sNDRUGZPOM0D79baurk5sYw+pBrr0\nvAZArsmfkJCgjMXHxytjXbt2FfvUqh0vvZcRSfiJOxERERGRAXDhTkRERERkAFy4ExEREREZABfu\nREREREQGwIU7EREREZEBcOFORERERGQAbi0HqVfWTRIVFeVU31JpwOYwfvx4j/bvae3bq6dWRESE\n2Pall15SxqQSWlIpr759+4p9apWfk0rS2UsqXzZ69GixrTR2qTTipUuXlDGpRBzg/vJlfn5+ytjy\n5cvFtikpKcpYYmKiMjZ58mRlbOrUqWKf3t7eNm1zhylTpohxqRTdu+++q4xJZVelEpMAcPXq1Sbb\n9EquqmiVXdXav9m3334r7k8qO7h27VplTHrPOHbsmNin1rkhvQaqNDQ0aL7uSOfyiy++KO5TKr0q\nvbZIc0Cv9GdNTU2TbdLv1F4hISHKWExMjNhWei1+7rnnlLGlS5cqY/n5+WKfriwt7Kjy8nKH244a\nNcqpvqVSq7bQmk/2GDRokMNtT5486VTfUglaR/ETdyIiIiIiA+DCnYiIiIjIALhwJyIiIiIyAC7c\niYiIiIgMgAt3IiIiIiIDcGtVGWq9zJUbCgsLNeNSRZbS0lJx31I1Bikm3TVfUFAg9lldXd1km/nY\npCoVZuafUR2bVpUWM72KBBcuXFDGiouLlTEfHx9lTO93UFlZ2WRbSUkJAPvyofqdSBVZpGMC5GpV\n0ryTxq1XAUtrv+Y29uRDVc1HqtKht3+pWoeUD0eqnphpzQ/zMdiTD1XepXzoVXuS4ufOnVPGKioq\nlDHpHAS0z6eysjIA9uVDNQapYo/W76Ix6bik6lLm8WvRer3U69Pclz35UFXTkea83rksvS46+h6i\nVzHn4sWLTbaZ54wt+SBqjAt3cojJZAIAxMXFuXzfAwcOdKjdhx9+6FBMj8lkwoABA3R/BpDLzbUW\n9uTDmby7mrTY+OCDDxzerz35SE1NdbgfFa1FgS2uv/56h/vcv3+/MmZPPrZu3erwGBwxZ86cZu0P\nsC8fu3btao4heZQ9+XjzzTebY0g2+fTTT92yX1vyQdQYF+7kkLCwMCQmJiIkJKTZ6lk3t7q6OphM\nJoSFhen+LPNhjfmwxnxYYz6sMR/WmA8iNS7cySG+vr4YO3asp4fhdrZ+EsJ8WGM+rDEf1pgPa8yH\nNeaDSI03pxIRERERGQAX7kREREREBsBLZYhagOPHj+Ojjz7C73//e/HnPvnkE5hMJmRkZCAmJgax\nsbEAfqrYsGHDBvTp0weXL19GfHx8cwzbYarjAJzLRUNDA8aNG4d27dqhoaEBADBlyhS8+uqrbj0e\nd9q2bRuKiorQoUMHXH/99fj5z3+u2+aHH37Avn378MADDwAw3vzQmgPJyckoLy/H2bNnERQUJN4Y\nv2fPHmRnZ6Ndu3bo0aMHZs+eLe7bqByZ787mtqVw9Fy/9tzQ207U0nDhTi2Gkd5Qd+7ciRkzZrhk\nX++88w6OHDmCwMBA8efOnj2L0tJSxMfH4+LFi7j11lsxcuRI9OvXDytXrsSjjz6KPn364LbbbsOt\nt96Kvn37umR8trAnH9JxOJuLhoYGJCQkYPTo0WjXrh327NmDKVOmuOIQ7eKq+ZGVlYUPP/wQiYmJ\nAIAlS5Zg6tSpYnnRhoYGvPbaawgPD7dsM9L80JoDly9fxuOPP460tDR06NABEydORFRUlOYxlJeX\n4/XXX7dUNJo3bx6mTZuGoKAgm+eXu7lqfuTl5dk1353NrTs4mgt7jx3QPjek7UQtES+VoRbhnXfe\nwbp163Tri7cU2dnZLtvXkiVLEB0drftzJ0+exD//+U8AQLdu3dC/f39kZmYiNzcX58+fR58+fQAA\n//znP5t1UQbYlw/VcQDO58LHxwcxMTHo168fAgIC0L59ewwaNMiBI3KOq+bH3r170a9fP8v/u3Xr\nhiNHjohtdu3ahQkTJlj+b7T5oTUHAgMDsW3bNnTs2BFeXl6oq6uzfMp6ra+//hqDBw+2/H/o0KE4\ndOiQct+e4Kr5Ye98dza37uBoLhw51689N/S2E7VE/MSdWoQlS5aga9euOHz4sKeH0mJNmzYNoaGh\nlv+b6/8ePHgQgYGB+Oijj1BWVgZ/f3+P1Ku2leo4XLGPHj16WLZt3rwZixcvdnq8nuTn52f18J2a\nmhr8+OOPmDRpkubPl5SUoF27dggKCrI88MZo80PlhhtuAACkpaVh7NixVn/QNFZYWIjOnTtb/t+5\nc2ecOXOmWcbY3Fw1323NbUti77FrnRvSdqKWyq0Ld9VTz2xx2223uXAkzc/Rh6IAP32qRnSt9u3b\nY8iQIQCAlJQUhIWFYfjw4UhNTUV2djb++te/AgDmz5+PMWPGWC2Ga2pqNC+vKCoqwn/+8x+Eh4fj\nb3/7G/7973+Ll2G48zhcuY9Lly6hpKRE81i0cuGJPNhi+vTplks+KioqcPr0afHr/N27d+Oee+7B\n9u3bLduKi4sNNT8kn376KXbv3o2nnnpK+TNlZWVWY+zQoYPNCzIjzY3GpPluKym3ts6PTZs2wdvb\nGx07dkRlZSU6derk8HhsZeuxa50b0nYzo86Ja+k9YVcyatQop/oOCAhwqn2HDh2cau/MmkrvKcGe\nwE/cyRC0Xjzr6+uxcOFCy/W/CQkJWLRokcNPXpWcOnUK//3vf+Hl5YWGhgZ88803qKmpQUNDA7y8\nvDBmzBhMmzatSbsNGzYoT/w777zToUsWysvLsX37dqxZswYA4O/vb1nEAkDv3r2xb98+q4XZ9OnT\n8dprr2HkyJGWbZWVlXjkkUewYcMGBAUFYdy4caiursYXX3yB06dP48EHH3R5PqTjcIRqHzt27FB+\nbX5tLrTy0LFjR5w5cwZZWVk4ceIEbrnlFowYMUI5DnfOjxdffBEffPABunfvjiFDhijfhDIyMhAR\nEdFkuyvnh8lkwtGjR3Hq1ClERUUpc+KK+aHltttuQ1RUFO688068++67muePv7+/1SV3VVVVCAkJ\nsWn/ts4Ns1WrVuEPf/iD7n7d/fohzXdbSbm1dX5cvHgRjzzyCCIiIrB8+XLNhbur54Ytx646N1Tb\nG7NnTuzcuRN+fn7IycnBr371K5uPgcgeXLiTIWi9caSnp6N///6W/6elpeH55593S/+DBg3CE088\nYfn/unXr8Oijj+q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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from fig_code.figures import plot_pca_interactive\n",
+ "plot_pca_interactive(digits.data)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here we see that with only six PCA components, we recover a reasonable approximation of the input!\n",
+ "\n",
+ "Thus we see that PCA can be viewed from two angles. It can be viewed as **dimensionality reduction**, or it can be viewed as a form of **lossy data compression** where the loss favors noise. In this way, PCA can be used as a **filtering** process as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Choosing the Number of Components\n",
+ "\n",
+ "But how much information have we thrown away? We can figure this out by looking at the **explained variance** as a function of the components:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from IPython.html.widgets import interact\n",
- "\n",
- "def plot_digits(n_components):\n",
- " fig = plt.figure(figsize=(8, 8))\n",
- " plt.subplot(1, 1, 1, frameon=False, xticks=[], yticks=[])\n",
- " nside = 10\n",
- " \n",
- " pca = PCA(n_components).fit(X)\n",
- " Xproj = pca.inverse_transform(pca.transform(X[:nside ** 2]))\n",
- " Xproj = np.reshape(Xproj, (nside, nside, 8, 8))\n",
- " total_var = pca.explained_variance_ratio_.sum()\n",
- " \n",
- " im = np.vstack([np.hstack([Xproj[i, j] for j in range(nside)])\n",
- " for i in range(nside)])\n",
- " plt.imshow(im)\n",
- " plt.grid(False)\n",
- " plt.title(\"n = {0}, variance = {1:.2f}\".format(n_components, total_var),\n",
- " size=18)\n",
- " plt.clim(0, 16)\n",
- " \n",
- "interact(plot_digits, n_components=[1, 64], nside=[1, 8]);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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oWbUwdVzse0ulxTX7tzjQVMBUC3Nra8sFLxWLRQeYPoDRNWcDRPjdi1Jk5vWb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\nJ4B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zMBjM5C5kgDmPocmGe5R8hrJmGvuFtoe14XcBTA1N6Drwfn19vQKYXUIJPt7dS1Yt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KqUbOSUlY3aHqZZ9mDh6MK69kIcUZYeUDwlW9cCyJuzfq+Zhd671c/nb5QO0yJ5wFGFNY/S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xIxQKBZYsWYLw8HCcO3fuuq+fOnUqFi9ejAkTJkCSJLzy\nyivQarX43//9X7z66qswGAwIDg7GihUrHPZz9TZfX19MnToVer0ef/7znxEXF4fY2Fjk5OTggQce\ngMViwQMPPIARI0bYn8H9W126dMGTTz6Jxx57DEIIdO3aFX/6059uWkdiYiIWLlyI5cuXIzk5GRMn\nToSfnx+ioqLspwGI5IBXxRORy1x9VwAROQcPxRMREckIR+xEREQywhE7ERGRjDDYiYiIZITBTkRE\nJCMMdiIiIhlhsBMREckIg52IiEhG/j/X1c1dl6Mg0gAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "## Other Dimensionality Reducting Routines\n",
- "\n",
- "Note that scikit-learn contains many other unsupervised dimensionality reduction routines: some you might wish to try are\n",
- "Other dimensionality reduction techniques which are useful to know about:\n",
- "\n",
- "- [sklearn.decomposition.PCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.PCA.html): \n",
- " Principal Component Analysis\n",
- "- [sklearn.decomposition.RandomizedPCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.RandomizedPCA.html):\n",
- " extremely fast approximate PCA implementation based on a randomized algorithm\n",
- "- [sklearn.decomposition.SparsePCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.SparsePCA.html):\n",
- " PCA variant including L1 penalty for sparsity\n",
- "- [sklearn.decomposition.FastICA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.FastICA.html):\n",
- " Independent Component Analysis\n",
- "- [sklearn.decomposition.NMF](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.NMF.html):\n",
- " non-negative matrix factorization\n",
- "- [sklearn.manifold.LocallyLinearEmbedding](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html):\n",
- " nonlinear manifold learning technique based on local neighborhood geometry\n",
- "- [sklearn.manifold.IsoMap](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.Isomap.html):\n",
- " nonlinear manifold learning technique based on a sparse graph algorithm\n",
- " \n",
- "Each of these has its own strengths & weaknesses, and areas of application. You can read about them on the [scikit-learn website](http://sklearn.org)."
- ]
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "sns.set()\n",
+ "pca = PCA().fit(X)\n",
+ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
+ "plt.xlabel('number of components')\n",
+ "plt.ylabel('cumulative explained variance');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance. Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### PCA as data compression\n",
+ "\n",
+ "As we mentioned, PCA can be used for is a sort of data compression. Using a small ``n_components`` allows you to represent a high dimensional point as a sum of just a few principal vectors.\n",
+ "\n",
+ "Here's what a single digit looks like as you change the number of components:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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FMVnmMO1ZycIjlDTStH2VFafNMGNztKtg5Oe0svMyi3420TyMsTnMWIa5LPbY\nHObfWknWKoBl6uQs2WlbpIi8MoEGLp7twNyUob1B5U2Y6wCL/T/x2/vUhTJ0KgaFYrE4RyZpg8nr\n0zRsacpa6/9artRl2ppJUxAQwyKV6AmkG1GGXQUfCdOWZL3HgrRakKZ+1yXEVXDag9+p/Uu/sYtL\nmA3zWnq23+GNcxt008qXaW1RH8WCukc23sH7nE6nwWf5t3q2xO+NF49sYn23Ckb7uzaBSIsFipF/\nm8/nE7GCojiW2aWR6bpEY/3DxgNm18vY0B5euTcmNGJ+vArGlecwvQ7WQ9NgfYbSI85YEGXJ06bU\nqpY81ed9TxZ8NtB6maO9n9hcgd6Tnu0D0oD/uIC3gm6dDCymxuyhz8DacjMPz/lns5nbR7Hgzv6w\nNlzHjuqj9nk1DyuAuRKOYtD7imFZ9dB7zYLP+psdJ7xfG1A0yPKz9hdwvsLSikGv1GXFRdZAFLOf\nHYu8ngba2DO/umrZG6+xSoclTX5/rAqxCYzsX41titHi1J+9GJTL5dyFYGpzr2rmPTKWlTBjmS2/\nm5Uau87B2o/CLmZD+/v8uVQqudWzWAVhGZwrEeYi5a4dzZ9jNXivtMPP+Xw+qvaXUT7rBFyPUGLB\nNC3T5u/F7s8GAC2P2sC2zEKnVfGtSia0hwYNL4tUbDHijLVNZ5ixrNLDqP5m/c7eXxoRWqwxf11H\ntXuBVu9fA64VX9a3GKSZndiA5InhZUhz3cwklvlosCWmGGHysJj4Oa2MzbilwssjFCve17GjxgRb\neVoFnxUEniigve1Y2VQpMyZ61Ia6YM2SpbdDmHekCSVOF2np147vVTGuTJieMooNKptBabOlOv2s\nDhp7+NQC3ESwtfi8rDl2L16f6GMX+h3MMPU6aXMai0qyWTB6ZOIdmmHaTNPet1YIYtlGLJBuqnTp\n2c+SpRUIAObwqa3pW/pZVWnWDHOdQOSJAhvAYwLMEqe9l5gve2SZVnn5XGWYdg7ZfvYyEyVMr0+8\nDDMtJq1jR83kYxlmWha9CJ83/6tCUOOBnXKJxe9V8FnRA2BOEGiGaYkzLcP01hFYvDaTXkfcZSrJ\npqlP+3MsEKbN/3hEnEZU9rrrtph6t6UKz0ntPdvgqIRpM0y7msybd1qnJJtGJrFMk4RpyZJE45XW\nF1UErN02OX/J69sgp2Rp8QJwbWwHeFp26fllGlluCl9ahqlByZZhlSR4Pe/61qe91eAMrhrw18m8\neA+xDJOTSWOMAAAgAElEQVTYSCZeZmIzsLRgG1uFy8Z70EcVbF9ntaGNNV4WvSjD1GstwmcFd5og\nIL6sGK1othm0Zpj9fj9KljFRkMvlomXq4XA4l2EqTq9SuEzLlGF6hvaIcxFh8hwjTDtYYopg08GW\niivmRB4RpDmHPewcpipKb1VZWkk2Cz6PTGIlWd6rLccye+bAZvmdFYLYsUjgbKpSYAXPeDxOxejN\n0+rg1uxSFzitc6yDzyNNOwemGaZd+KOizGbOVhQvk11akbEOVg+fV67UgBsLnHYO0wbbWAamZbxl\nMsysWaYntJfNMPW53xhhLpqnBfzXh62LLy3DtILAzmF6bwCyQoz3FrO5zTBtXF/EKbGWedGPdWRv\nUFnC9AKhBkjrpJaALLBY8I2dvb/x8C2TYcYyCo8w7e9q2dJmAzbLjKlfu7qUTrgqPpLJopJs7DlT\nYuGZ5R4vQKWRhkecWVvMhppVKnmqKPCCIQnTWwlsbb8MScb8dx181jfZh17VwhIn7eddP404PbWe\nJo5Wxaj3YUuE3iMnsbKsDbI2A0sTpJ742nRJdhGheAt+bMnZI820kqzO0TKe38g5Wo3hwLmYsyXZ\nmDCwZMmz2tn6waIM07PfIqyZFv0oSU6n07nVlfqzLmdmR3mPROiZnWpvfhnV6l1vFYN7ilJLeTZo\nsMM5gKmWut1uKFva+x4Oh+h2u+j1emHXG5030b+x6jOmhpYlGDv4OXj0Lee6dywX8QAIq9r6/T66\n3S4AuA7e6XTQ6/USZREGPVsC1lf52FWI66p2td9sNotmmPq4gbVhLpfc5o6fWUIaDodzi9UsMStO\n3SAhS8DVAFcqnW+QP5lMUKvVEgdfbzWZTFAqlQLG8Xgc8AFnzwWXSqVwZp9YGwJI+I599yTfzUiM\nWQOu9VFi5KuseNY+VQHHANztdsNjQ56gabfb6HQ66Pf7ASfjhf1+4mO/em/DyGJDVnjoV4pNMY5G\nozAO6aP9fh+dTgfj8dgVZ6PRCKenp+h2uxgMBsGOmvAQH9+tSRvq+ySzjEUryolRX0lmdxCLxRnv\nbSXWhoyl6qvePej3Z/HTzCVZLbl6Kyh1JaWSgT73xBYjOX6XfveyGYp3XV4nDZ/NEL1gaxU9v4Nq\niYZm2dJmJCRMDlQSpl1R7KnPdUtAvCZtxO/0BmmlUkkQps4ZcZMFkqSqQ4oBG4RimZ5+5zqBVnFa\n+wFws8tisRgCjmJUUeCVM7nhBG0HnO+SZBcX2X61WcqqzQYBji9LmDxYQfAIUysIw+Ew3N90Og3+\nqWUtS5gabDUQKZnQJsvazvseCgIlzViwVXwqWu250+kkxB1xanxTGyqhWDuuOibVhopRX5ysfsNM\nEpj30dFolOg/tvF4jHa7PUcmNgZYfCoINClY14Zpwpz+oqKHgoA8otfmQRuq6NHsOeavsXG4sQzT\nlkhYxmE5K0aaQDKrtA8Ks9nP/B5bpl02u9xUhsnr2CzaBnatx/f7/fB7XhuNRnMZJoklrSydpebu\n4dMKAb/PKj5+1hV1VvlNp9M5whwMBuj1eiED02DrZZjetntZVa1iVBvS12JztXwwmmRCG9J+XobJ\n31HCVIxehumRSRY72gyMAYLBzmZDw+HZM2ks9SmhaIWImQxFhg1CGmi9IMQgr2Mka4ZpRd1sNpvL\nDmzWruOQfkjftY34bLD1+peZifbvunZUjCQTYvSyLxUFNsPU9QTaSJjMMEejUUL4qChQv1mXMC0+\nfkcMH/s4Jsz571b0AAh9QNEzGo3cR4KWIcwblmEWCuc72ORyubkAZOfAWOoCzucedGKdjT9rkLPZ\n4bIlWf28ynyYDbZs2sEcKOxsxUVH1uzT3sNoNAoDVUuy9pmhZUqyqy6SUUfWTN5TfSRMFQXqyFq+\n1Il77ourGaZ1XEuWmmFmLVd6NtT+tCtltbROMlH1riRq55PZD1pO15JsWoZpBRfvbxVsHCMaHGIZ\n5nA4DH06m83mbMj71ZLsbDZbuiSrwdaKgnWyLw20ABLZlw28sZIs7aoHcDZuBoOBm2HaQKuCoFar\nJaYQNpWBsX9jJUtWCIBzQun1euh0Ool4rMdkMkG323VLsh6RxPBlsaHFZ4W5h88T5p1OZ+662ije\nGUttSdYrraeVZDeWYfJmOeiU9dMI0+4soZO9gE9mGvD03zTL1M7zBkMWsrTfrYTiBVo7ic3Mw1vQ\no2cvw7QCwsvobQ1/1WYFj+K1xMXzeDyeU379fj/8bMlSN5P3SrJeWTYt+8qKUf2H/xbLMLkKT+cw\n+d3eg/9aevdKsuor2p+xedp1Mkz9OTaHORgMQsDVDKxQKCQWfDETLZfPHrVZNLdn57/WCUTWhrYC\nks/n58qUKrxU9GiGqdUtW+miDenDXknWZpi1Wm2u2pR1jk8rIDGMdlwACJUdEgp9Vxcr0W/1cQ07\nhxkrySq+rGNRx6CWxS1h2Qw6l8sl4oySrZdgsR88cWfvQYVBDOMNI0z9OY0wGWi8AOQ1HZheidJL\ny+3f6+dVSrIabC3mtDlMLQUx+PJvPXVLwvTmMPX+idfOYa6alWij/RhgGETt3CXPutiAQYa4uCLN\nLgn3CNObs1En9sRI1pKs56O0oZdl8rs0wyRe+xyjHhQ7uugnJgjs/Kmdk162qehRfMVi0SVLBigS\nphIKAHeFNPF780KxRT9akl1H+HgVHv5brCTL77IZZqFQSFSzdAWsjlddReoJA7sohv+3zny7Fa7E\nHFvURIy2CqJj0z6Wphs70Gc1g/aIpFarBVx2LK5aBbHCnPi8krqdh1Z8mkzYZIi+zDi07BymTiOu\nspYg88YF/JyWOTBD4RwRgxKdNdYYxG3QIzBLHosyrywlWf3ZzvOoc1GV09jEZVWtKj+djKeyBZBw\nUhrTC/CbKFcqNs7vacmCwYErSBUfydLu0KFqlsGWirZYLM6V1DQAevMmyzqx16yPqrDTQF+tVhP+\nycHKTDOWYeqh5VhV0Rr4LJlkLckSmzc2aLd6vY5Go4FWq4WtrS1MJpNE8KP9GHB0qkH7XwUBbWhL\nzHbuy2bRWTNMigD9md9HfIrRmwfj2FIS0bMeABIizfNPYtZpkiwC1laO9N/4ncTYbDbRarUwmUyC\n/zA+klQ0o0zDSBvq93hjUbGtUyXw8Fkb0n6np6fBt2h3VrAYH2NlZysG6OceMdsKSGyqK9ZWzjC1\nTGk7RgcUBy4JQlc60aDefCOvyVTcKwPZQwnmw0cfxs+862fwuy/43cwZipIvB0OxWAy4ms1mIAS7\nqIBBiEon9gyc1tx5ffaZPRqNxlmppFLCT338p3B1eBXT3BT/+ov/NV5094sy4wOSGSdLT/V6PZCG\nzifbwKM7dHDVqJZ/WFkgkZRKJWxtbaHVaqHZbKLRaASM1WoV5UoZP/LBH8Fn2p9BsVDEa77qNfjC\n+hdmwqdnBhgqah20zKYsPs9+9oF/zQ5IhADm8OlSff7e8fgYL/z9F+K3vua38KRHPCmzDTVYl0ql\n4J/b29uhesH7siqdNqadR6NRYk6X/wcg/FupVArYFJ8G3Be99UXYrmwjn8/j9p3b8YvP/8VMWbTN\npImv0Whge3sb/X5/LivUIJ9GlpwmYoDVClahUMDOzg62trbQbDbP/fNvAm0+n8fPfvBn8Yf3/iHG\n0zFe+oUvxTd//jdnKsvaNQjlchn1ej3YkGNJiZrnXC4XhI/iUtwam1Vo7+zsYHt7ew5fqVTCGz72\nBvz3j/135HI5DMYDfPj6h/GJ7/wEtqvbK9vQirtyuYxarYZWq4WdnZ1AiPr7ejCe2nI6z2zsF/p6\nPp8PsUZ9tFwuA3ngZW9/GR5oP4BSvoTXPve1uOumuzZPmAStZU6b3tuav+7kwMGtGaatT1Ota4Zp\nr29Lo/z8q5/4VbzpgTehWW5mzk4UH++DalcJk+qV80Ba9ljmswZeJRWSpp75+V3H78JedQ+vftar\nMS6N8dW/99WZCJN9qkqN/UsiISEUCoXEQ9L6ILUlSx7D4TD0JXD+JhAAaDabbsCt1Wp497V3o1Ao\n4Pde8Ht43/X34ZX/+5X4nf/3d9YSPopXS1DVajXYAzh/RylJxHvY25KlBi/9bMWAzb6QB37oT38I\ntWIts3q3/slgVK1WA6GQ9Ln6VQ99IJzz1BaHtSGDkRUDim9WOBs7v/21vx1U/ar4+L220kN8zWYz\nkf1acvTKkzbr4ti12TX9Y3t7G61WK+DUzORPH/pTvP/K+/GWb3wLuuMuXveB12XC51XrSCjESBtW\nKpUEJq1WeWKAv8NSvJ27TxMEL/6/Xox/9vn/DPl8Hj/wxz+Ab7n7W7Bd3V7LhhZfq9VKVNeKxWJC\npFqxGrOtCgL6L+1JfEw4OP7e8eA7MMMMb/nGt+B/3f+/8KPv/lG8/utevxS+lQmT4NmoBHT5sJYV\n+GwXFQ6ARNCZzWY4uv0I7ZvbmBamGDVGeOQnHonqQTUQ16QwwRsvvxHFQhGFfAHFfhFPyT8FL957\ncYI4b9+6HT//ZT+PH/iTH8g0SGP4NAMjJi2jcs6Oitc+2D4ajfCprU/hyqUrGOfG6FV7eOy9j8Uj\nH37kecAs5/DXT/9rFAvng/fO8p14Uf1FITA9b+d5qNXPVrFN81OU8qVMTuz9m9rOLmLR5xGn02li\nJSyxf7T2UTz4yAcxmo3Qq/Zw6/234paDW84zlnIOf/r4P0Wp+DeDNlfCFwy/AP+8/s9DwP3qO74a\nX3vX16JYLOKB9gPYqe5kLjvbn1UUUPhwIOZyubBAhAGIGHUQf7L1STzUfAjj3Bjdchd37d+FJ/ae\neF6OLefwpu03nWFGEYXTAp5aeCpe+qiXJspdP/7+H8e3PPlb8LoPvS4TYSpGVfAUPM1mM1EqrlQq\n4QXlfJQEQMhOOIYfuPQArmxfwTQ/RafcwVOOnoIn9p4YxtisOMObdt6EYuEMX/G0iKcVn4Zve/S3\nBRv+5dFfojfp4Z+++Z9iiil+9Nk/intuvWelcqUXaNnHJBPFVy6XE/NYeiap0tYPXHoA13auYZKf\noF/v4wlXnoAn9p4YfKJQLeCNW28889F+CcUrRXzx9Ivx8se8PJDOO+5/B55y01Pw4t9/MdqjNn78\n2T+eOYNOIxRi5IKuGD4llfv37se13WuY5Cbo1Xr4vIc/D5/X+bxw3UK1gDfvvvlsHI5LKF4v4hm5\nZ+B7Hvs9AR/v5YNXPoiPHnwUP/Ocn8lcklVBx8TAxlBW17RKpY+lqSj4zO5ncG37Gsb5MbqVLh7/\n4OPxuJPHBT/IV/N42yPfdsYTpSLKozKe2n0qvr327YEw77x0J6Y4u6/2qI1ysbz0FFemDNM2q94Z\neJmF8FkaOgdLCGGObzLFpDDBzW+/GcPmEFf+0RU85k8eEwizkqvg60+//qze3ThLs1ut1lyG+bzb\nn4erw6tADpmCkIePwZYZJgMS/69YLOL09BTA+fzleDxOPIs4GAzQL/XRb/Vx2ztvQ7faxX1feh+2\n790+X02Zr+Cej92DnZ0d7O3t4dKlS7i0dSlRmmXW3p/18R1v/Q780Jf80Mr4LEbNIMrl8+fBtBTO\n8txgMAhzJwy+AWdugEF9gDv+7A50Kh18+h9+GjdfvTnYp1qp4vn7z8fu7i4utS6d4bt0KZGB0Y7f\n+8ffizd/6s34zRf+ZsIGWVW8xUP/1CoGS5TA+fxXt9tNDNZhZYgBBnjaXz4N3VoXf/Gkv8AT7ntC\nGKy1Wg3fWvzWMC+ztbWF7e3tRDnof3zqf+ARjUfgK27/CrzuQ69biyyJjfdPQiHJk2Sq1SpOTk5C\nABsOh4mSLO9hODrD90Uf+SL063287wnvwx3tO4JdqtUqXoKXYKuxFUp6Ozs7iQyzVWvhu5/23XjJ\n3S/Bvaf34ut+++vw1y/765VsaMUA/1YzaJ2Tq1Qq6HQ66Ha74TEEEqUuqJtOpxhPxhjlR3jSB56E\n6c4UH777w3jyfU8OAr/ZbOJlzZdhd3cXOzs72NnZwe7ubsI/DwYHeODkAfz21/82Pn30aXzD73wD\n/uKlf7GyDS0+9SMlS9qVD+l3Op1gR61YURiM8iM8+QNPxqAxwEee+hHc+ak7E5nrd1a/M+BSfLra\nGABe/eevxg8+8wcTpJ7VhvzM+6Df0a+azSZOT0/RbrfRbrdDzNEkZDKZYDKeYJgb4ikffAra5TY+\n+rSP4raj24KvN6oNvHj0YjQaDezt7mFvbw+7u7uJR562C9v4zMln8LRffhoOegf43W/43aXHYaY5\nTO0QdoSdw+Riil6vl8gwdaJWJ26L+2dzKLOjGWb5ZH16Upjgd7Z/5yzDHBVQPC7i7tnd+Ja9b5lf\ntZovIIdkOWfVZgOSZmD1ej1g1jIVsfKzPhTd7/fRrXWRv5rHwcEBxrMxJjhzhlCOreTw3ie99wxL\nqYhyoYzPH38+vrn+zYl5sP3xPr7rbd+Fb/uCb8OLnvSilVVf7Gfi478XCoVA5nRc2o/Pr/EZtl6v\nh36xj9J+CScnJxjPxpjmzsvuxWIRxXoRf/TIP0KxVERxWkT5qIynF56Ol93ysoCPJZVf+OpfwMHg\nAF/6a1+Kv/wXf4l6ub5WJq2ihxmmrqRjWbLX6yXEQbfbDQt/ptMphvUhake1s4x7AEwwCcRULpdR\nqBXwa4VfQ3FQROGggOJJEV/U/yL8y0f+yzCH+YZPvAGFXAHv/v1348P7H8bL3voy/Lev/W94ROMR\nmfApThKKBl+KrEKhkBA7XJJPG+VyOQwHQ1SPqmi328gP8pjkJgkb5qt5/Gb5N1EcFVE4LKB0WsIz\nBs/Adz/qu0NV6cnVJ+PJj3wyisUi7rx8Jy7VL+Hh9sN4zNZjVsoy1W5AUhDoIisG2+PjYxwdHQE4\nH4t24RbP1eOzcny1W8U0Nw2k22w2Ud2q4pdGv4TiURGFdgHFh4p45qOfiVf8g1eE8XC5fhlPvvxk\nVEoV3Hn5TlSLVez39nG5fjmT/RQjCcVibDQaODo6CnbUVc6KcTKZoHZcO1utf5rHNDcNY7ler6Pa\nquJXZr+CUruEQr+A4tUi7rn5HvzAzT+QmIc/6h3hE0efwLNvf3a4N+tvy2Dk7/Pvic+SZa/Xw9HR\nEQ4PD0OJnQuaKHpInLXjs0el0AcmuUnC3wu1At7QeANKxRIK3QJKwxK+aPxF+J7HfE/IMH/uvT+H\n597xXPy7L/t3ePD0QTznN56DD33nh1BGeSG+zCVZVRpKHjQwFYHW/nUOU+vsk+kE08nZYJ7mppjh\nPANlhvlNg2/C9vZ2mMhttVpzC36KxSLyozxmSC5MyopRzxxU/Df+zJXAvV5vjjw1C+u1ehjkBhge\nDjHGGNPZNPE31XwVX/XQV4Xscm9nL2RgPI7GR3jJW1+Cn3r2T+HLH/flGxMFxKePf3Deq1QqYTAY\nnAVRyVC63W5Y6dvr9dCv9zHMDXF6eooJJqG8CZyVCluVFl6Sewl2W7tB9e3t7SUyzN/669/Cg+0H\n8Yp7XoEGGijkzgRQFlzev1Ot62MgXDzBZ76UMDudTsjGptMpBsMBRsWzB8ZzpRxmmCUC2059B6/Y\neUXwT87Xagb25he9Odzj83/7+fgPX/kfViJLrzrAzyQULV9yDo4EyWoPAxHxAWf7Ao9KZ5tq5Eo5\nTGfTRNlsq7qFf7X9r8I45KFbxv3Sh34Jf3X9r/Ca570GD7UfQnvYxqO3Hp050NrGmKBEwpXqwPnY\n05WkiQxzPMZ0cubDper5u1B5rUs7l/ATez8RVqfShhrHnnXbs/Da974WL/8HL8dnTz6L7qiLS7VL\nS+NLw0jRyjHIrJB24/jTTFoxKr58OR+uValUUK/XcWnrEl556ZVhwQ8x0j+51uBPHvwTfMXtX5HI\nEFfBFvuspVmuI+BRqVQS4pV+qivSKQoGgwGG0yFmmCWqKdu1bXzv9vdid3c34ada5bncuIxS4ezJ\nhr36HsbTs3h8w0qyWkZQw7PMoPX52ByNXR4c/g0zYDb/nQDmrmU/h3vIZV/wk/Z/xKQLJOyyZMVm\nFx2E8jMmwGz+HYt2hZh9fOY/fvg/4mR4gle971V49ftfjXw+jzd905tQK9cy4fQyTr0Pb8m1xWYX\nIkwmkzN8SK58tpi8R4NecOcL8B3/8zvwnN94DsazMV793FejUqysJXw87LF+1u+xGNVXp9MpctMc\nckj6oe0zD2es/9cpy+q/URjw0AVyMT8NuGbnNswX8sFHvWvbPuTxkrtfgu/4g+/AV/zaWbD9xef/\nIvK59PmhVTJP7WNdwa34iHEO33QaYovGnbSxrdj4e1/zxK/Bu+9/N+755Xswwwyvee5rForXZTFa\nvyRGtaHN3BIH5uOq7TtdIGP9n/32sf2P4fG7j99I0qGf9T50SoQkushP6aMhdiJ5XcVofZP4Xv4P\nXo5v/b1vxZf91y/DaDLCT/yjn0CtVFvKTpkyzE23xscbZ52Bs0B06+/cCuxmu9ZjW4/Fm7/+zZu9\nwQ20xscbyHVz6KKL3CSH7f+6Deysdo0f/uIfxo99yY8lV7wVS5nvKcu8YKzt3LuDSq9yhm+aw+N+\n73HA3mrXqJfq+PX/+9cTDv53qV1+4PLZIMcM+WkeX/L+L1mIMU2d//7X//7aGDdpw0v3XwpBNz/N\n45nve+bK47BUKOFXnv8rwX7rVEGytEV9cemBS2ciFhPkZ3k856+eA0QqqWm2+8mv+ElX9P9tN/ro\nBBPkp3l86Qe/NIqPzbv37/+H3782pk36JttNn73pLNvEGPlpHnf/8d3Aask9GuUGXv//vH7u35e5\n18+tN1+0i3bRLtoNbH9XiOui/f1ry/hObnbhYRftol20i3bRLtrCdpFhXrSLdtEu2kW7aEu0C8K8\naBftol20i3bRlmgXhHnRLtpFu2gX7aIt0S4I86JdtIt20S7aRVuipT5WwhcFa/OegdQ3PNhXIV27\ndg1XrlzBtWvXcPXq1XAcHR3NvQGCf9dsNsOD7Tzv7e1hZ2dnbmNynnWTZ+9g4049izDav+VDwRZj\nr9fD1atXceXKlcT56tWrYSs5faaPz4zt7u7i0qVL4Uys3ChYX7HFh4pt/1ubAGevJdJ2cnKyFD77\nvFp4WH8wwJUrV/Dwww8nzleuXAk7GdnXewE434CB2/z9zWfdEJkPhfPhfntPnv22trbm8FiMset4\n+GazGXq9Hh566KFwPPjgg+Ezd/vRDei5hR79Uo/d3d2wabc9qtXq3LOZ3jOgu7vJZzna7XbUhmp/\nPkNpd7bp9Xp48MEHw/HZz342fO50Ou5LwHO5HG666Sb32NraCph0M31umqCPBXmPCG1vJ996EcNn\nP6fFmatXr+Lhhx8OY5DHwcGBi28wGJxtVCC+SV/d3d2de0kAP1sbes9hexi5fWYaTsVoj7Q4k+aj\njJ/ccnN3dzfEGe/NSNVqde5ZTR56r3t7yeepuN/0Mja0GxHwcwwfucK+jWUymaBer4dtGnlwY3l9\n+YF+1leYpWH0Ys3fmQzz78pi3U0/N3SjniXM2l9/155tvGgXzWt/V+LBRcveFtnw72Ms2tjGBfZd\ngvo2c7utke6cYpu324pe017HXutGEpRur+W9rT12X3pvitnrM7uZstdX62C0DxPrrk3ea5GoVhf1\nvWdLzehsRrDo72+UHe3uS9w+bRU76v3ZHZ3sodfYdPNsqfdBLB6+2C5G9voWn2dDi093sNp0WybO\n2HvUaoKH0eszG6u493DMz7O2ZWyYFku9V1/Z3dNi9kvzzxu5GYONCdY/vVfqze2YJmf7u7E4qvuT\nZ21rESaNzaBj34s4GAywv7+Pg4MDHB8f4/T0FN1uN7wzUUHrriC5XHIDbN37stVqhb0TAYQ9BJlO\nz2aztXaKiREKycNi7HQ62N/fx+HhIY6Pj8OG5NzY2jod74191uv1cHp6Gr6j3+8nXl+Uy+USW2J5\n2wNmtZ02fc+lHt1uF9evX8f+/j6Ojo5wcnISMPKdhHw7hvad+kSn0wlvQVDxwP14uW8w26YCrbUl\nN6q2R6fTwbVr1xJ2bLfbwVc5CO1WXhRP9FNi1L7gpvb6KjGeN4FN+433Yo92u42rV68m8OlY1GCl\nQYU+3+v10G63w7sVNfhwz1PiA5JvqFgXo2JVfPZVUPRRjTX0U30HKIMo485oNAqvcmu324m38xCL\n2tCKi03iBDCHkWeOw+vXr+Pw8DCMxXa7nXijh753N5fLBftxdzDGD/VHfe0d92XdJD5eJxZH+cYj\n4js4OMDR0VEYh51OZ07QK2/Y+E+RyFeIkRO4Z7Dyzar4NpJh2oHV6XTC+ejoKBwMtvqSYW00nnYs\n36zAN4CQLG0n6ObuvNYmVa4SOF9B0+l0cHp6OufAJEx9dZLdY5cCwL4hQ18ay/7Q99SpICDOVZun\nJtm/3Cye53a7jcPDQxwcHODw8DBhQ96rBiHekxJmjEjseyl1D9AbsWWc2lCP09NT7O/vh2BEO3Ju\nyM5B046LMNJ2fBkBbarzqZvITngNfUsOX3VFH7127VoIRioI7DsH9aUH7C+KOvotv8/DBySz7yyY\nYv9OwaOvueJxcHAQfPTo6CgQZrfbdTNjDazceJ+xR4mfZKmvTdNxzLaKv6b1i45D2og2JEYSCsci\nbWizrHw+HwiXZAkgIXisIOD/bVL02GoM4zp5grGUgkdjDe2o48WOHY8sGZtsvNG3ZFlRsIwNN0KY\nmi21220cHx+H4+TkJABX1TccDhNEYjfI5YITDeb6WiZ99Q1fUm0Dtl0wsmpTYyuBn5ycJDCenp4G\nnCRM3jsnk0l0XCBAx2H/8dp8qa9mJzpRrc3+nAUfmwZb2op2s1hVuduyjkcm+rMlSxVA1onXtZ9t\nSpi0F22pooCEwhdIe+ViDlAOThVBajv6p4qCWPnZZozLNC876XQ6ARfPDEZWEPC9kV5JT4Uwgy3f\nQKNv02DmxjG3yQxM/17tR/8kRr4aipmJ+qktwXsZppIlyUb91LPhJrMvNmvDRRjb7bZrQ94nsznG\nCo3tW6QAACAASURBVMZTm1nW6/U5MtFjXR+1cZQijK9l41nxqZ9af7JxwpIlXwivSdUmbLgxwmTA\nPz09xdHRUVAKqiB4MMPU1UnA+Xs1qW6VLAmcv8dOqNfroQShKn/T8ydKmMwqWaa0alcFAQBXGDC4\n8rrE7gUkLUGrKFgnuNqmhEkCUfLg4GQgYhkolikpQWrpkq8a4muLtHRtB+emG/taMSpJqsjjQNXy\nja0UKC76KsmTYo5vlyfGZUhzUYvZ0dpQMxLi1WBrBYG9LjM6vudVfVVf5mwJM2u5y8OoZy1/cwyq\n/VQE6dRBjATUfhxPLGmSSPiKNBV2sYC7qt+mYSRh2ozLHu12e05waoxgnAXOV+DShhQE9NG0dROK\nb52qluUK2nB/fz8h8BSfXYGr32+rBSRLrvZVQaDTgDGyXIRtbcLUNJsZ5tHREa5fv46rV6+G9yXq\nwdJqqVRKlK94BhA6QMthHIjaCc1mMxAmAW+ypMBms5PDw0Ncu3YNBwcHiTo8DzolMP/WcWaYdgEU\n/03JUgMS2yYDEj8zG6T9WKI8ODhIvNszvN/zb5Q774dnHrSfVfGFQiEEWvaTzn/ZDGWTjTYkoezv\n7+Pq1as4ODgIWbWKAw5Uu+ycpElsVhDk8/lAlvRPT9luomQZqxIovv39/USlRwMRpw1UCNhsgNdm\nMCK+RqMRqikkTA/fOvPsSiaxMXj9+vVgM3uwwqH3ofj4+IX6ab/fT4w/ztWnVQmyNsWnCYKKHvVR\ni6/T6QQxbfExwyQ+nT+MxZgYWW6q2Qzz6OgI165dw7Vr14J/WoFOG8bijJIl3+LEaSyKnlar5Yrz\nVbFmJkybZusCFhLmlStXEs9A6UILnd/TzJHvSdPVfVypOZlMEsq91Wol5jXz+Xw4b9Lgiwar3qOe\nOa+q5UoSpq4M02M2myVeHKv4brR6twP1ypUr2N/fn1tEos9beu9EVDJhlslWKpXQaDSwtbWVIEzP\ngW+0DRmMrl+/HuZU7PwmBZrOIQPnwkyzAuIsFouBLInRBqNNYLP9xPvgtAgJ8+rVq+68H0td3jOF\nWpJlv+l7KBuNBlqtVmK+flPzX7GM0Mswr1+/jocffnjObjwoXL1nQ63g0XeIcvwxxijGWDaXxXYW\nr5dhklAUl/qqxhY9a5mZ8bRYLIb3TmqMWYRvUy1WqXv44YejPsqqjbcWhBUB+zyl8kSz2ZzzUy/G\nbHQO0yoh/TeqFmYiVAbHx8eJZcEkR4LmW8wrlUriIPn2er3wtyRazeSUhBmY6Sh2ReOqGPUMILFa\njfN8VES6aotOyiDLTQd48MFn9hexETMzOA8fm5LmqiVMb1n2dDoN96MLRZiVqA2ZXZBA7EtotaTu\nHSQP++CyqmRbbl51QUVskDNDsjY8Pj4O/UyM5fLZm+8ZYMrlcuIoFApziyxU7caW73ukuepcrdpP\nP9OGrPS02+3go8ySZrNZmM6gH3EVdrFYDIeOIf0OT+SpPXlNm6lkwWf7zI5BxpmTk5MwVigsaT/7\nkLo+kG/9hZ9j2GhPJdx1/NSOQa7bUB9VGzIOqA1ZxbIvvbYvhdb7iz2mov5qY+gq+Lw+5WG5Qsch\nY54dg+VyeU7QKT77fSrWY4+KxUrPGy3JWiPzrANVV+d1Oh0A51kIgWv9XImEnweDQeJRC84R2YzT\nHrz2ZDJBsVjMXPKyGG0wUpXX6XTcwagrCBUfA1W73U7FZw8SJgMSFxJlwecRWcx+zLKYaakNvbfT\nkzBtZYEr+TRAWMIhvnWzaGs7/mztp0qd38XVktVqFbPZLGBWcUfCtJk3CZf34GG1RJSlaTlfzxqI\nFCeFGYlEl9dTEOhBG3t+aFcN03b6KIMSyjr2s0HcPoqgGOlbHIOVSiWISc2qeC4WiyGw2uqQ+mls\n9SnHX1Y7LsLoTYMQD21Yq9VChcATPczAPIHK+1b/0cOOnywZtLcQybMfxyDvi+OvXC4HH7JiztrQ\ncoP63qJxyN9Zpq1EmPZLdaBaI1MdcQDSWTXwVKvVBJHw6Ha7CTLR8knaoSVdq442hdGSZbfbDfdP\nQ1uCtJ8ZVLQ8oYNXSVLPSpZZ8OkgVXWp2W0MH22opEFysYJhNpuFbJXldmKNEYmWnFlGyroKWK+t\nZ+unilEHop5t9UOrBPr4Bu+Z4of9HQscqw5UtSGvaYNhjEx6vV5CxNnSFe3Jo1KpIJfLJYIZl/Zb\nGyqRkEwYkLKSiUfExKdrIdRXbaasQZW+qudyuYzRaDRXwmW/xjDGSGVVG66KsdfrJUhDycMKHp1C\nsOsrdKFXTLiyepI1hipG22cqemy8YcWKZG+TDw8jbahC0fppDCuTqlUwrpxh6uDg5xhZtttt1Gq1\nkHWUy2XU6/WwjyH3SdWjVqvh9PQ0Md+kGxfYQ8mFq0xLpVImdauqy6qytCya5WUSpu6P6gkCILla\nTPF5e0LyTCdax5k10Op3eGTJhSGqamm/RqMRgq9VfrPZDCcnJ4mHwLn4IOa8JEy7aGRVdevZ0Pqp\n9dVutxt8j9mX55sqfvL5fCjnkix1ZbRHlp5yZ1u1rE5MWm2JkQlXDeqjLlbIeVUQLvWnTXXVs0eW\nVrRmKcla++k4j2Vf3W434Yuevbyj3++HFZm8Z1ZDrMBRnOuKcuKkcNUx7i2SJBGoDXW/aSt4KHoA\nhMVsrNhxHMTw2dJl1rK6+keaINB4St9kHLW2U2z83O/3w9QRxTn7k/3sCdYYvo2VZK3iUmfm3EJM\n+VGRl8tlNBoNbG9vo9VquZuM12o1lEqlxOIMfQwj7SgWi8FIm1K3PDx8JBSWf5iRcPN4bmZsDyqg\nTqcTgq8SpkeaKghYilgHH6/PcmKs3MxgxHJXrVbD1tYWdnZ2UKlUXNXLUp9WCejMMcWnz4ZtqmRp\n52o8YUeMHKTE2Gq1sLW1NeebPHOeWsmS4sISvpJlbO5kHXy0YywYMcPk2OKCuVarFXzU4szlciF4\n0V+5atgGIRWXJC3+X1Z8vO4y+HhfKlqJT19mYIU5xx99jottPB9V4cU4s44d02wYK8lyTDHx2Nra\nCnHUTm1RmB8cHIQXU3AM0IZe2dnGl6zl5mVEj8VIG1L0tFqtsOl9TNhR7DK+qJ/qvfB+YmsKlm0r\nl2StkXUS18syWYe2ht7d3Q2DVI96vY5CoRBWialDLyLMUqk0p45WbdbQFqMXbBuNRiAJZpg7Ozto\nNpuJAcrP0+k0iAHis4SpRMmfWX5RQbAKRuvIHKSe8ypGvuFFyWRvby8s/iFR8vNkcraAR1f86SIL\nq/IYjJg9Z52fVZw24HLBWCzDpCJXUbC3txcCrr4ZR9+somV1BrQYzhhZrpNBU7CqHb1gywBK0bqz\nsxPeyqFvqyBOihf6Jf1VBYEVPJsSrbZC4JGJtSEfUdNgu7u7i+3t7bk3G/EzxThFHf00jUy8gJsF\nn60S6Ar0WElWhRoTD/VRK+pms1kQdePxODzFoPfgVXtsNSRLs2JqGRuSqFX08E0kNrnicXp6Ouen\nVpx7At2Ow2VxZlr04w1Wu8cjD07AMsMkYe7s7Lhkya3SDg8Pw8SvffDWywDtii819irlIKsq1dAe\nTj6DxsUFMcLUYzqd4ujoKBCOPnuqat0TBHw8IetgTVPv3qErD7ncnsGIJUy7oIIZLOcxqRptudIG\no9gc9KqiwPMTb49VtSFFnWZgSijWRwEknj1myVp9zfMnzb7WyU48G8YOu/qXY/DSpUshy2SZnZ8B\nBBuenp4mVLzegx2LMdGaZQWpLVmm4YyNwb29vcQ0EA++qotihza0q2c9jLEMMyvGNB9dxoac/rGi\ngN/Bat3x8XFiT+dYaV1jzCbwqQ3TMNo4w0odq3Xeq7q4sQsfiaOfank1bRpoVfGaiTBtTZ8drB3L\nSXhdZahlA6bVnMzVx010cQtLPKxZ6wbCvB+7fHjdkpcXdC0+3pd95MDOkxCbXQat19Fr6Z6WgP/+\nOGLM2jwFbev4tJ/2PTGpyLELfhhU7Yo9YqOdeR9aHtb+WKekpzb0VCWAOf8kPipZ+/48/o4ubEpb\nLcxmg4Zd4UdbZFmFaDHa4MZ708VaOv7s+1Z1LHKKwVv9bX1TCU3tvU6Vx8sO1B8sPl3hq/jUhhaj\nYtNnNdV/vGqTVnrWycI8nDH7aRy19lM7apxkxq2LaBiD2NQ/1YZe4pEVX2wMehg1xlDYqCBQrNVq\nNWyZahcFaZyxGPlMseK8YRmmRyYadG0nxIzNQeoRStpg4O/yfqz68wyzKkZPeSlJMbDrfXkByeJT\nxQOcP26jfaS/a1Wa3se6wShWKuR9WaHiDVbOcelg5HysJcqY/TQYKflwwK9DJt68Be3H7+IgtfNb\nqmSJXQeiEqYlTSvotCy1iWDk2dCKqNj4IVYbfFQUkOx0MZfFBswvPuJcNclklUC0LE76Q0xU24Ab\nw2ix6cYGNjOxmXyxWEyMx6w21O+wIl9jQ0y0asasPszfpQ115anaz/NP7pajsXRdH/XiDZBMGDSO\n0j/1BeXe1JZdDKRiSBMw5Qkr7NhPy4rzlXf60SAUyzA9ZeQRiqoCVebeYPAIBZgvY9pyQhZ8sRSe\n/2eJLobRDkzNPGLCQA0NJFX8uhm0DlIrfjQYeYLHkiUHKX/fPj+5KMPkYhlVfvybdZUtMXqEohg9\n/7SEyYUy6qeca41lmDYL0wzTli03kZ0sIhRPtBJfrNrDuWRLlurHtkLAYFupVBLjcFVcik8DbloG\nbQOu9VMPoycGYoJAS6bEqOJ1XRumZZg2xizKoIlxMpkkyEMPT5Drat1NZ5h2DCpGL87YDDO26Mc+\n5qYxx6tEqp9mwZhplawty3od4albu6Q9BjBtMMQ6Qo2sqigLqXhlZy/DXCQIdJcRq+wAJIKtPifG\n37dlIZst3ajsJA2fDlauvuPf8DydTt1S86KSrM1O1g1EsZJsbMrABiIGI/VRW5LVQKtKXhfHWMK0\nC0ey+GiaIKAdYqLACgOvXMn5QI80vWBLMuHzjbE5olXwxQSB4rM+tgifLcnacqzNML2SrNoxq3i1\nOD18XsJg8dFH7WMlnLpKqxDY+KILDm9UFcRO/6go8AQd59bt4yX2Z42fsThjMaqw+5yWZFfNMO38\nlzUmO9KqDyUUm2rfiJKlLcl6gsB7/klVkGJSR/XmCr3yrc0wta/XHagaaGMZZmygcpDq9fg5ll1a\nwcPvpwN7qi8rPs1MPAKmz5XLZ+8B9OaGmIF5WUisHBsryTLglsvltaogXgbm+XysQuOVZG2g5cpK\nO8cXy561nFepVIKvbrpKYEVdWoapNlRsNqh6c5hWENgMk4F2UyXZRRlmmv0o7OzUB8uqMYzav3YO\n04s162DzRGsMYyzDtHFWY5L1XcUcK8la8bpsrNnYoh+dw7RzfLE5TDqnp/C87CuWYVrCzKqM1NCx\nLFoN7c0P2ZJsWvPmYJZZ9LMJQbBsqcTDpxmmnaOgc1rStCVn3osOVpLJ57okS8JU/9S5IfVTnqfT\naeocJpsNupsod61rQ8VoS84cYxQ+aSVLaz/uV2unRtbBZ31LBUFs6oAYPXxeUPUEu/rQMhlmlrYo\nw4zNYXolWcXEzwBSMXqiwCvJrmNDK3iWwegRphU7/BwjzUVTBxQ9N6wkG+sImw14c2C2nGWNZwnT\nI0pbq7YdYg/++7r4YsHWloJiiwi866ep49giIRs01iUTr788281ms7nSuSpWZoo6CGOBNm3BwabI\nhNdWnIsGaiyg2jlXJU2dw/SqCEA6WW6ynJdmRxVkaXaJZc4xQaABd9OizuJjXyo+b52DF1+WxWpx\nq58y4FrxnNV+9vftNbwqG+cjrXCxhxdTvUN9NZYcePeVBafNoK2fev5l7zWGN4bbs6H6adYxmLkk\nu0g1WMKMzRXEHNaWYmPLwpU0N9U8nHp9vUdvYt3O62nTUpdXsk4jTb2/TWPlvVkiBzDX3xZfPp8P\nQkAJ0zq77VsNQrFFTZsiTU/QUZRNp9M5UaAB1w5IFXVeAALm9yTe5LRBGl4bRHReVe3gNbWrF3g1\nqNksxSsNbxqb3qcly5gtvH7xgq3F5wlWbw3BjcCZRiQW26I+92KsHceK0Yvr64pz7+z5qcVmfatQ\nKETvzxMcaeNRK2M3jDAViKquNMKMze+kqVlvsZCWOT3lbw2UtdkAa+dPLL7pdJo6YPk3ek4TBbak\nYB1oXeK0RKL/5hFmLpdzs0qLicGThBlTs/y+WFl/E4ua9LPakc2zoWaWsTKkfk6ztxUFmkXHNtfI\n0jxbKr5lAq7anudFYtYGW49MblQ1JCYI0io7HonEMC4qzyq+TdrPNpthjsdjt6qWRh6LREFMyNo+\nXwdbGk5PmGnzCDwtWbOY9fttX2Wt8GTKMC3zp618SluNZgchz7ZUtmgzgE23NGe0A3U2myUwemRp\njajK2GbQthRoB8imgpD3OUaYizJMkqXFZwnFBh/6j1eO3VQ5z+szDURqQ6+s7ok8iggPp36/jo8Y\nWW5C4GlLC46LssxY9hUr5Vqsm86el/FTW471BIzFaPtpGYwxstxkBmaJzmK02Oy9eH2eJg4WZZjr\n2s/iXETmaWOoUCjMZZmxeKhE7F0rZsdl2soZJuAzv3aEdWQbXGLKxzrIogzTU0lqoCwtlmHGBAGA\nxL1YR/QCkC6KsQsyrNDwsoFNtFUyTM14PXyKE8BCsrTOu6nnTGMYvQxFS7JAsuxss0xvUE+n02jw\nAZJjxGaYm3o0KPbzKhmm16w4sMRibeoFok1lKN41LL608Wf7hedYwF6Ufa37SJB3X7bF7GcTBE/U\n2+vEMMYy6EVktCrGRdexvpZ2T8uUjL0EBfBLsn9rGaZHKDGyTDss0XorNGNzfJtuHkY2m2HGyhx2\ngNpB7pVk8/l8tCSrNtgkTqv6lDDVlp7g8YJQLKuxAciWZDdBJopLvyutJAvMv6B2kb9Op1O3P+x3\npq2Q3QTGRUEyljXZfrJ/m0Ym/F0P66YWNNl7s4InjVAWZZiLiMS7jjf/tYkM0+LT+7TxQu9Jx9Ci\n4O/Z0MvCbBbtiepN4CQ+L2HyyJL9rtnlMqRp+3YTpJlKmN5FPNWQpgI9tk/7GzvYLbHY7DKmTtYh\nUusonjEWlTd0gPPsXcNiXJQV3KgWCyAAUtXooozau2/+fZpq37QoWITTI/ZYH+k1YnitOo6Vguz9\nrdK8e03zT+uji8pSMWLh/9lrpcWEVTDGxrDt91iw9fClZb2ewPCqBsvEvawt5leeHZUsKcg4F8/D\n60vv+rZ52DZJmt592Biq368iLEacdnzr9yiumL+v4qcrl2Q95aqZHoODtzO97rLArdDYAfpZfzem\nyu19eGW0rCSTpu7Y8XwI1r6SSw/P4fP5vLsAhPiswW3ZaV0S9YKD4gPOV9/ZPSbta3n4aIUSDu2Y\nRoCeMEoL7llt6AVBNpv9xd7Vx0zS2iCWScUC3aLsfFVs1j/Tpik08Ng3f9gSq2bQXibM68bwxUTk\nqs1mRGnzlOqv3vszvaDKcahrMGyVzPPtTfiq7WsPXyz70zGpe9taf+dzsLFnKb178DCuE2es/WIJ\nj/VV3rdu1xcTb4tK5LG/yzr+ViJM74tjZMJXrqS9zkUJjo9oFAqFuQeEve3pgPnVprpQJuuAjTmy\nXs8bnPY9losIM0aa7Ee9l1ipMEvz7GcXUOncmw5MJZROp5N4NoznRfNZ6qTLEsqq+LxgoNe3g9J7\nHyHf0zedTsNgn0wmKJVKiVJYrJTmKehFWd8q+DwfjRGmN5fqEabe22w2S2xIohgtLq/suwkbpgkC\n+qrF5xFmTNDEtvWM+Y8nyNcR5blcLnHNNNHjCTxi1BKrxtJYZp0m6jZFlmk+mib+lUN0KsO7ZwpX\n9o2X9cewZsWXKcP0skwGIho17d1nmmHa7FIzzNgesQy8dLhFRsiKzzoSgLlg62XOvPdYoPQWgHgq\nyVPY/Ld1B6u9tlYJFil2kslsNkslE9rLlojsEXPmrM0LdhajDbCxLHo2m4VnNRVH2lxdDJsnCrLi\nWyfY2jdv2L7n3LyXnaTZ7EaMv7QMk82WJ63A02vrdWOP9yzCtm7Q9e5lGdETsyHXPKi4GI/HADBH\nmrafY8JSRckmRU9ahsn7tYsBveTDq/QsKs/Gskwey5ScV9p8fZFyJ2C796IlSy/D1ENJyFtByWaz\npEXPQy7TYurIZid2I99FJVm9L5tdKnGSmD2H8wLSKvjSgpFmmAxA3ot7lTRns1nYi1W3AUxbPODd\nh+2fdQklhtXaMBZgNYuezWaoVCqJqYBcLufOoSwSAZ4g2HSwtde388RWBLGcZ/0BmBcFMYxehrmp\nYBsb3xrk0rKvXq+X6DP+fbGYfM2atW+MMDchCixGTxR7WVesJMvFebwG34iTy+VcQbDIhpvCZ/3T\n2xHNElbMnp4tvEx6GazElkWYr5xh6pdZ5W7JJEaWmmF6xvJKsnbw2gxTVVbWDIV/w7+3RBUTBWmE\nyfvR+b60laE2OC0SBFkwegHX4lOHtWRJwgQwJ2LoB4seMbABY13FvgijJ+wWlWRrtVogRxtMtRQY\nG6Ax4lxXEHj28zJMG3DtnLRmmDr+SJi6+bZXzkvr400F20UZpgZZOx/d6/XCG3Xsvca2YYxhi2Vg\nWXHGbKjfofi0EsW4SH9lv3DDdeKKCTv7/Z4NbwQ+xeiJOyA5HaR721rbaYUgLcPc9DjMPIdpncgS\nZizD9OYw7eDwFv14zu0p7E2XhEhYmp14atabx7REyZ/V6dN2uIllgZvC52WuAOaEj1eSrdVqABDI\nUgUM/33VctAmBqpnQ/Utm5UsKsny923GA8CdN1klw1wX37KEohmmV5K11+CzqZ5PxjDqON4URju+\nbUBnS8swy+XynB9YYlmFTG7EGNRsaZU5TOK0m5IzXjLeeD7q3UdM+GS1n8WYtue2ZpheNcTawNu7\n2BPmei9elnnDCNMLtHbTcKuQ6NQafPv9PrrdbnhI3xts3W4XvV4P/X4/8W42jyjtBu3eIpZVmsWo\nJUevBq8Zi6q+TqcTnNYGkslkgl6vl5ir9fDpPXh9nMWhNXNm/9l3ylkBYvF1u93QL/qeRwYhAOh2\nu+j3++HfvKzZe8tLrH/XsaHOsXpb4OXz+eCjio8D01YOFGOv1wv/psRq/dO+NH0VjGmZOb+Dc63e\nywA4Doil1+uFMp5duMZzLpfD6empi9H6kb5lQsehVi2y2I9+wvEXe4WT9VGOv3z+rBKgmYoe7XYb\n7XY7+OpwOEyMQ8WovrquDWN2nE7n9zTWTIwLsWhDltO1eqBl23w+j3a7jU6nk4ilXPmtY7FYLKbu\n150lzliy5BSOtaH6irVhoXD27lm+wcQmJ2q/wWDgcoWNN95bTZblipUzTO1gvt7JvthTb4g3MplM\nEoRpMyYlFc4fsRNGo1GiLGYJbZGhVzG2F2gtRu/dgdaZ2+12ovZuCbPT6QTStPhsMFq08fyy+Owg\n5WIWztPZl7Lqm2GIj4SiZGIrB7lcDu12O4FvMpkk+lcDkL57Ukkzi/1s9sVANJ1O5+ymAzeXywUf\n7fV6AfNgMAj3x/lNYjw5OUkIgzSMHPAeaWbBaAMtg1HsvY/A2RgcDAbodDoAzgiUGXWtVkuc8/k8\njo6OEhhJKLxnxcj3M24Cn5cRWkFg7UfRQ/vZ4Ktz0/zc7XZxcnKS8FUSimdH+ucmtueM2dDDZm1I\njPzZih76KG14enqaIE1mskDyvbCLdlNbx0eZ+alv2vGoNmR1hz6r72/V94F2Oh2cnJyEeJometIw\nLotvJcK0TuwFW0soMfVHIF65ir/jBVwb8JkhbSoQ2QyIg8fDp+/nZCmBhFKpVBKEqap5Op0m8Kkq\n8vCto2xjNtRBavGpPTnwlDBpU2ac1Wo1QZwkzG63mwhCnuDSd/vFdnJaR90y2BKjtZ9HmFzQpBWD\nfr8fSJN9ooGIosfLSvT9fgy6zGDXVe8MRgBcMUcfBc4JEzgnyzTCPD4+nsOooiCfzyfGn0eYm8Jn\nBYElFEuQHll6xHl8fBwIUzMw3kcs2NosOoufqjBgGVwJxc5Nezb0BCt9tFAoBMK0wk5jjVaa1D81\nA8saR4mPPhoTPZxrpgDg87MUB0qYevT7/TlBoJUQmwB5ycfnJMPUYKvKy1MNQFIZcfWhrSfzM4OW\nl4FpJ9iSnnXkrMrIKttcLhfNoFXd2nIJ8dva+XQ6DfNkVhAovjQjr6v8NNDmcrnEi71tfyph9vv9\nBHlWq9XEm+j5XFin00kM0phqZ4bJw8swV21ahlGMHll6hEKyZFDVDLNer4dgtAijBlpVxxYj729V\nG2og8vBZQcBSsgofzkfX6/XE50KhgHa77WYnHBM2w7RVgiw+aqsgFp/Nnj3Bo4G2VCrNbUjBYzgc\n4vT0NCHubLXHZpjWfpsQPdpigoDETIwqzkmQVhAUi0WcnJyEDMyWZQGEcaKCgGNfS8K851Xwsf8U\nryfqvAyT+IifL8rmwZ8Hg0HwUZth6j3Yak/MhoswZsowbSCKZV9azqNyYPaoGYc9qzK0c5heydKq\nonVKJV6wzefzS5dkdam+Bn0VBiz1EZ+n+uz8UEwVZc0w7ZyiV5LVwAcgBFwOWhIlSZN/WygUwqDV\nIGR9yJZkbblrnZKsBiPFuCjDpB212qEBSVeXMvCqcreqXTPMtJLlKo3fYX9OKznTbhRmmnXX6/WE\nimew5fO2itGSCee+FpWcs+BT+6kgsGTCShCP0WgUMKovEieP8XgcMNpqCL/XxplYBsbfz4oRQMjY\nPfvRhpyf1Gb9k/YqFothDtNWCWyGuQjfpnw0lmGqDYfDYWLOt1AoBP8kUVK8ci46TRAsM721LL7M\ni360E2ygtaoBSM5h5vNnzyLqNfWzLrTgBL0tydqJ+Gq1mnCwddStdeJCoZAabG3Jkj/rxLqeAczh\niz1OohnmpvGpPa0g0M9A8uHw4XAIAOH3lCz5ijKdU0mbF9LsS/uWWX7WkqwNtjpP46l4FXX6C4Ky\nVwAAIABJREFUPBcJRbNLPvtmV0UvwrhJUWDHDPF5go4LZ+zjTOPxGJVKZa7k1e12USqV5kp9Ntja\n7IsVgk3hs+MhjUy8RS8UMKwS8EzCnE6nc7uR2XKel4FtYmpEbcfv4qIfW44lcelqel1dz8qO+ikJ\nUzNrb2FTrCS7qUoWP+s8u5Zh1Zb22XQVB/V6PQgeXU/ABZRp+Lx56Kw2zFySVYNzkOhcDQ+m9uw0\nlrqUMPUA5nd70GyUasGueuL3rGtoHaja4cSn2QIDqGZhLCVMp9PE91vCVKe35RFVzkpg3qqydRyZ\ng1QJU7ERn25EoI8a0MF15eFwOJwL0MRn5/Zsn9pAmDWLthiJk31p7Vir1RLCzOLxBnGpVJp7HIhV\nBbWb/R5bfVmXUPSz+or93sFgEO7TbtSgxK+CwGJeNEdr56HXwcfvieGzGHWqgMKV5VnFoFgBJHyY\ngdZOiVhf9UqW64oefi/9XzHy4FjkPdsNXnQsDodDV9Sl4fPmMNdZS6AVNdrQxjQdiwASVQKKGbtp\ngx6s1mmlDoDLEx7GG1qSVedV9VAul1Gv19FqtbC7uxsGpw1aPAAk5uzsdwDnJSMtR+TzeTSbTTQa\njbnyzzQ3xXe/47tx38l92K5u49Vf+Wo88fITVzYy70EHLDHWajW0Wi3s7OwEJVOtVhPfoYTIAKP/\nbu+HmRRbs9lEs9lEvV7H/bP78aqPvAq/8djfQLFYxAOdB/Dyd7wc+XweT7n8FLzmea/JhE3PdJRS\nqYRarYZGo4Ht7e0QILl4yTtoS31ukwOEwZwOWS6XMZvN0Gq1Eja8d3wvXvmBV+L1z3t9QvD88J/8\nMO66fBe+7Wnflokw0zA2m03s7OwEjOVy2V1FSfsoTg5ce236KABsbW0FOz6YfxCvvfe1+IXH/AIq\nlQo+0f4EfuydP4ZSoYRKsYJfeN4v4ObqzSsHW/vzbHa2TWG1WkWj0cDW1lZiRWS32w1zrvRriiVr\nR2Zmir9UKqFarWI2m2FnZwdbW1totVq4Vr6GX3r4l/Dzt/08qtUq7uvdhx/53z+CfC6PO3bvwOue\n+7rMoof9y/ti+ZexhiXG2WwWSsd8fpZERnGjQZHX0wSgUDh/A0Yulwv4Wq0WrpSu4L889F/wc7f+\nXCKDfuN9b8SvfuRX8dZvemvmSohiVBsSI7NeliX1oB01C6UtFQsTFhV5asOr5av45Su/jJ+77edQ\nrVbxyc4n8S/+8F/g8duPRy6Xw0u/8KX4hqd8w8o+ap/7BBBigcYaChvakGfioQ0tuSlHsB8p9KbT\nKba3twPGK6Ur+MWHfxGvu+V1qFar6KCDV/zJK9AetzHDDP/pef8JT6wt5ovMGxdodsMO4CBldmVV\nuKpxptr6oCk/k0R4sKOKxWIItra89fqPvx6tcgtv+ca34FMnn8L3v+378cZvfOOcwVbBaBcc1Ov1\ngJGioV6vB2WnKk9LO953KC7F2Wq10Gg08I7hO/Cek/egWWkG1fkjf/Yj+LfP/Ld41q3Pwve97fvw\nxo+/ES940gsyZ2D6oC8DYrPZDLYpFAqhRGcf5udgpONqkNVArE5eKBQCYdbrdfzB6R/gXcfvQqvS\nCnOfx6NjfM9bvgefOv4UnnTTkzIF2xhG+mmz2Uyo7Wq1ik6nE57L0zk/FXkMtNwMmnYjNh4cpO+a\nvgt/fv3P0Sw3g8D7iXf+BH7yWT+Jux95N379I7+Of//+f4+f/sqfXhoj+1tFAX9WG3IcAmcrE09P\nT0OVQqs9dm5dhQ9x8Xf4eWdnB9vb23hv6b34wOkHEvhe897X4Aef8YO455Z78PJ3vBx/eO8f4gV3\nvSAxn7UsTm1a6eE45BjjAiXOZelCFWZaxE078vEYXlfjWqFQCMH2zwp/hg+cnGFkNlQqlfCx04/h\nDR9/Q/i7VfxU78P+DbPLRqMRBA//nT6qVTv6sJ2Ls4RZKpUS37+9vY3t7W28r/w+fLD9QTTLzbBo\n66MPfxTf/vnfju966nclptayjkPFScKkIOBURj6fDzZUe3EBHu9DMWq2TL7hvwMINnxP4T14/8n7\nExh//H0/jq97wtfhhU98Id5z5T34xPEncNej7tocYeoA1XIQB2q9Xg8GppFYKvEWTrD8MZ1O8Znd\nz+DK1hVM8hN0y1084eoTcEf7jvOSRzWP/7n3P1HIF1AsFVHqlvDU8lPx7Y/59pBhfvzo4/iqx38V\nCoUC7rp8Fz568NHMRtZAS6PRyEz7aSC7kOAv8Be4t3gvBrMB2qU27rx2J249vDUYcZQb4c8e/2fI\n5/5mkOVzuHV8K545eSYqlUogzFuKt+Br7vga/PQnfzoMkA9d+xCedeuzkM/n8dw7nou3f+bteOGT\nXxjsEiNoa0cbcAGE7ItBiPhqtVpYSUgi+WTzk7iveh8muQm61TN7Pe74ceFvh7Mh3vmodyKXzyGf\nO7PB7bPb8ezcsxMZ5u3T2/GCJ74Ar/zwK8O85XA0xL+559/gbZ95W0KUrdIWYVSyJImenJyEe/j0\n9qdxX+U+DKYD9Gt93Hb/bbjl4JYQaPuTPt7+qLef2zCXw23T2/Cs2bNQLpcDYd6Wvw3/5PH/BK/6\n1KsCofzn5/5n3Ny6+SyjwRT1cj0TmXj4NMPUcahzywBw7/a9uL92PwbTAQb1AW7+5M141JVHhfE4\nmA7wns97T7BdPp/Ho4ePxjN6z0CpVArZyS3VW/CPb/rHeO1nXxsC0S8/75dDxeda7xp2qjsrj8OY\nKNAMU/2UZWElkvsv3Y8HGw9ijDGGjSEee99j8ZhrjwnXGswGeO/j3hsw5nI5PHrwaDy9+3SUSiVs\nb2+j1WrhlsoZxp994GdDybk9beNVH3wVfvJLfxLf947vW2uuXeOorRKoICiXyzg9PQ0Y7925F/dX\n7kd/2segNsCt99+KWw5uOScZjPDOW96JHM7H0KOHj8bTO09HsVgMhHlL9RY876bn4XUPvi6UKv/q\n8K/w6ZNP4633vxV37N2BV/2jV6FSqayEjfjsz5ph6kI52lZJ8d6de/HZ2mcxyo0wqA/w+Acfj8ed\nPO5cDGGItz/i7QEjADx29Fg8o/8MFAqFcz8tn9nwNfe/JozDD1z/AO5+5N34xjd/I27fvh2v+spX\nLWXDTHvJqmrXoEPwDEytVisEWy5R5xxfYk5sPMEwN8RTP/xUtMtt/J/P/z943MnjQkfWy3V88/Sb\nUa/Wsbu7i93dXezs7CRKsl/wyC/AH937R3jBXS/Aex96Lx5qP+QabVHT31clQ4xUbVre49LtQqGA\nUr+EUWGEez5xD47yR3jPHe/BzVdvTiwk+eKPfHGYI7RzviSUL9/5cvQr/cS8BnBeItuqbuFkeOLe\nbxo2L9ACSJTc1KaNRiMRbCeTCYqTIibFCZ7xsWegW+3izz/vz3Hrwa0BY+H/Y+9Ng2S7qjPRdU7O\nc+a9EpoRmhAykwBh00wCgRgsCcsINw/b+Jkm3OF2hxvTjRncTMZAYzNE46kNUphoB7j7BUQY/AzI\nCEGDgWckzGAwIMCWLBkk3Vv3VlVWzlWZ+X6kvl3fWbn2ycyTp0AWtSNOZNaQJ8+319prfWvttfee\nZOTKH1w5t9AY0Q8c5pWNK6WX67l58DAM5YLiBXJReJF86s5PRaK7VeS3CCMYLUgQshX4rsKgINPc\nVB71d4+SXrEn//Cof3AOczKZSGY3I0+742lz84Slcsnpfa1WkysaV0g/33dRbKFQkLNLZ0smk5Fb\n7r5FbvjaDfLJX/zkyhg1Lo0PUQlXsHJkWRgWZJqfysWfv1h6xZ7840/9o5xx7Awn38woI5d947L5\ndW/V2SuM7dOaT5NRaZaah3wzmYz8oPsDufYvrpVmoSmXnnHpWvhYnsBTqVQipI6dpZPhtCCSF3n4\nlx4uo+pIvvnob8o5J84RkfuqZ/cy8uTvPTlSyFMsFqVQn5GLer0u9XpdLm9cHsGYL+TlVZ98lbzl\nqW+RUm4275ZUT63fMSlgZ4lnhDMpjooyyU3kcV973MxmPuLrcu7Wuftp3nEoT/2np84thyvUZ6+I\nvi5vXT4nw5888yflpZe+VB5zxmPkXbe+S976/71Vfu+Zv5co+NBY2WFqPWVnOZ1OpTCZ6emlX7tU\ndmu78pVLviIX3nbhPkGcZOWq41fNF0nVc4701Ot1Z0uRMSsWi/IvnX+RUyqnyEeu+4i849Z3yLtu\neZf89tN/eyGWlVOy/IqIBoaHoxLMMWxubsrJkyddlRcvumWnWWlXZn/ri4xlHOnMoBDI/y7+b8kG\nWcl0MpIdZOXxo8fLr5/x666jX/Lol8j3PvM9edb/epY88ZwnymNPf2xknnUVfNZnfBi73a5LJ06n\nU8mOs3J0eHRW8TbMyVjGLu0wmUxkV3bl7x/597No+b40ygXhBfKc8nOcoUXKeZqbunRwNpuVMNhP\nP3R3u9IqtlbCF4cR1bA6ZYKKSU7j5Xo5aQ5mkUNptySTQG3wnBf57BmfjaQpL85dLM+rPc/hA8Zx\nOHbOK5LuD+eLwdbFCLlpjNVq1RGCyWQixWlRjgyPzDIIu2WZhLPUpqukDXblcw/+3H4qPZOVCzMX\nylWVq6RarboIs1qtyjQzlTCzb4yCIJAPfftD8o6/fYf85f/1l/Kg6oNWxhiHD9/BkUqlUnGFT7u7\nu1LYKciR4ZGZzPdEpuH+lMhkMpFxOJav/MRXJJvZnzI4T86TKwtXSrVajcwN9Qv9iLENw1AuKF0g\n3/j335D/+fX/Ka/81Cvlfc97X6IxqH8Hw6pJXbVanavILwwL0hw2Z4R6LyeTcBJJrQ+nQ/niBV+M\npNPPk/PkmflnSrlcdhFmrVaTXn4271ssFuVb29+Sf27/s7zyM6+Uwd5Abjt5m7z606+Wdz7rnYlT\nltwgNxGJpKDL5XIkTVlsF+XU0amzPh+HMgn3t7sTmUVft5x3i2TC/bQz46vX6w5jv9CPOJNrL7lW\nWqWWhGEo1158rfyXT/6XRClnq2HscboYGNlZjsdjKQwKcmR0ZJYhmRRkGu6v3Q+CQEYykptOvcll\n6jLhzJY+u/RsKRQKET0Nc2FET4+Wjso1F18juVxOrr7oannT596UboRphdf8HlFXsViMzOMVCgVn\nbAeDgXQ6HRGJVonidTgcymgykqlMIx1aL9bl12u/7kJsdAJXc331+FflGec/Q9717HfJl+/5stzV\nviuRsWU8jDOfz0ecJTBicnoymczW53WzEo5mxmkynshUpi71AHLwyL97pDSbTRcpt1qtiPFGQcxe\nZi/iMB9z+mPkC9//gjz13KfKX//TX8sV512RCj5cMEI814xtxngHjswoI+GYNoeW/ZM7EGFecdcV\nTmERkcAAYQ6zXC7LruyKBOJSPo4hB2Ei5r4Io2a44/HYFfig8jDfz0tufN/asL2JSCCRgRxMAvk3\nt/0bh6vRaEij2nDFNkx8xuFYwmA/wvzA1z8gN3z1Bvn0//1paRabicmA9QqnDyOEOfVqteqqYweD\ngRRGBcmO79v6cXccwTedTkVGIo/68qOk2Wy6+cpmsym1Ws3hBc4gE0QM0XUfvE7efuXb5cIjF0qj\n2JBsmF1LhvweuDiyRFUoMl9Y9lSQguRkNh84lhlGdpjBbiBP/O4TnaxYN2u1mrMz1WpVJCsShIGU\nSiV5YuuJ8qWXfknCMJQ723fKL33kl+Sdz3rnShjjSAFnkvL5vLMzTHrG47EUd4uSm87wTff2l/kA\nX7gXypO++ySHx4evVqtJkA0cvmKxKFf+P1fKu5/9brnszMvkM3d9Rh535uMSy1DjBS7Ik6e6eIyN\nRiPJT/KSnc7+R7IiEkSL8LKTrFy1cVUkQ1culx0ZZ8zTcBrB+MSznyg333mz/MIjf0G+8IMvyMNP\nffhSGGMdpm8wW4OVKz1h6NAhnC7h6JTTlHg/mUxEpvvRKwy5VSTDbOOiIxfJL37kF+Vtn3+btEot\nueGaG8y03KJmEQFgQhTJDgZVlq64JYgWiASyvwaJJ+IZH/qPl4zoUucwDOX3rvw9+dWP/qrsjnfl\nYac8TF5wyQtSw4dn4O/DM+tlAmEQ7s8bTEUC2Te2fFnym8MngXOOcc+5SovDiO/BM0EmrKd6yU4g\n0SINjc+HMZvNSkb2910NwkBe/omXy7mNc+W6D14ngQRy+bmXyxue9oal8Vi/941DPNd4vH94gF4G\nARmicQEeGkdhvPaR+wp/f/WTXy0v/X9fKoVMQcq5slx/zfWxGJZpWn4Yh/w7a0mSk819+qox4vO4\nB2wWV2RmMplZlEYEjj8DsrEI4yIZ8s+WrRmPx/P4wv3nxmd1AaVPP7UMOXv1R8/9I3nZX79MCtmC\nnFY5Td57zXsX4lu2cV/jefB71lGWYRiGMg2mkblKX59Z+LLZrJMhMP7uM35X/sPH/4Nc/5XrpVFs\nyAd+9gNLYVx5DvMg2oPuftAs0pQ9CSehXPb5y0Raq93jaPmo3PjzN4pI1Eiu2qzKNf7bovZoebSc\ntnOa3CP3SDgN5UlfetKM4SZoZ1XOkr/8mb90P1905CL51C99yv2cBOO6+ERELhldIkeOH5GhDCUz\nzcgVX79CJjJZ/EGjnVM7R27++Zvnfv/6y1+f6H4i8RgXfU5E5NHTR8up26fK3XK3hNNQnvx3TxZJ\naCvOqp4lH33+R0VkFjWfeOWJZDdas7FsH7H3CDly4oj8QH4g4XQ23qaynOx10zr6hLOfIJ/95c+m\nYlyTNOC8ZHiJHD1+VLZlW8JpKE/9ylMTYzyzcqb8xdV/Mff7cxvnyud++XNrPW/SdqlcKmd1z5Jj\nckwy04xc+c0r15Lhh6/58P69T780IsMflSwfvvtwOW3zNGlLWzLTjDz3O88VSRjonlU5Sz7yvI+4\nnx/ceLB87EUfixLHJVryOPsB2pKwxH9N7YGOTyQ5jgcKfqs9kLFx+3HBedh+NC2YLhtWHLbDdtgO\n22E7bD/G7TDCPGyH7bAdtsN22JZohw7zsB22w3bYDtthW6IdOszDdtgO22E7bIdtiXboMA/bYTts\nh+2wHbYlWuyykhMn7BJ4XW7MR+joY1iOHz8ux44dcxd+3t7edmvgsEgeV7lcnls0jQXTfPI2v8eC\nZuviyrlTTz01guXkyZOxGNH4uDG++v2+HDt2TO69997I67Fjx9zRNPrCPofWhU0L9NZ5jI/XoGp8\np5xySuS5t7a2lsZnHZ/D+HAxPr2eFqdKRBb104VFxXpLQOyWxPh4LSra0aNH57Bsb2+vLUPopX7F\nJuZ6LW0YhpGF4HHvcZXL5cg6NLzXZe31en0hPmudqk+Gg8HAxHf8+PEIPh6HwOe7FuHj9X8aX61W\ni2DZ3Nw05adxYqcifazc3t6ebGxsyMbGhpw4ccK939jYkHa7ba4Rnk6nbps962Kc2MCgVqu53Yz0\n+NN62mg0IjjuvvtuE5u2pSxDPtCh3+/LxsaGkxveb2xsuAOzRebXz2K86VdskFKpVCLbVWInLGss\nMr7TTz89guWee+4xn0E3Pj5Py9BnR7e3t+f6Ga/Y6Qmy4svafhS+gtdK83vGeOaZZ849f+oR5o+q\n6Paw2PewHbbDdtjSaYf21G4rO8y4Re+4rFPBOcLSO/v4GKBmvnwvjmr4GQ6y8TPx82h8i3Dp+8Td\ni3eVSROndQ+r3+Mw+nb3WYSPZag/d9AtToYaZ5z8fLKMw/fDaJYMOfuj8S2jrz4dXYRv3TWRvt2e\nrD73ZatWlaEP4w+j8S5oLJ+k+ol76fv5+sd6loNqceNGP6t+fn712dODwrjyTj+8iwreI8zmI7zw\n/sSJE3Ly5EnZ2tqSdrstnU7Hna9odQJSlnzQLZzwaDSSWq0WOf2dN2S2OiatHX/w/fq4sm63G8G4\ns7Mj3W5X+v2+OzdT48xkMjIYDKTb7bqtzGDYhsOh26wdW44VCoW5LfXSdJpBELjT6DW+TqcjGxsb\nsrm5Kdvb2xF8OCZL93sYhjIYDNz2VpDf7u6uiQ+HS6ftYCwZDofDiI5CDixDxgmM3F/T6WwT6OFw\nGDkhAxhZN/mUG/S1bmnt2GTp6CJ8o9HI3Y8vxsfpQn2qvcZntST4OFXJn2c9xWHf/X5fTp486XRU\n2xng0w0YMa6Q8kWfIE2H/bH5eXzbL66Cz7qm06mzA3yoebfblZMnTzrZAd9gMHDPppue0sC9tY4W\nCgV33KKVJk7TeU4mE6+tYd1kfIPBYC79baX92c6MRiNzLHLfa4zL4Fx7azwo2mg0cgcMd7tdd+G0\nEjgT7giLJWH+RDtLbWxFxHUChJ02G2SjBGOr8e3s7EQG6yKHAmPEhpaVyDJIOBfPcpZpKDP6OA6f\nRQj4kGx+pjAMpd/vzzmSwWAwJz8MViYEaeLTMhyNRtLr9dxhw8DIegqD2+12nSy0gQzDUEajkUkI\nQIp4g3DLoaRliNBfWobAwPg2Nzcdvk6n4/Dp51oGH59rGOcwV23aiLEzYYx8aPTm5qZpcOEwtZHU\n98UYBKGCsywUCu6cX01S0pCffhaR/UMAoJ84GnFra8vpJ8bgYDDw6igf6q6diYhECB3fw3el0ZgQ\ngAhAX4FNy284HM45S2sPXcaH+hEm5aVSKUIKLHyLcKaylyyYGU4jwfmQ7XZbtre3nSIz8xsMBt40\nAj84D9R+vx9xOMVicXZE1H3KrAWj75WkcRQNUtDpdBye7e1t2d7eNh0mmJ92dhYhAD59Rhwf6pwG\nIfB9nvHt7OzMyS8On+5fVmaWX6/Xc4MYxyVpfNZzpuU0tcOE7NrttjNG+HlnZ8c9r1VwkMlknOFh\nY4vTXTBAh8Ohy4hYeNYxRr4sCGSo8fFYZHyMDZeFD33H+KrVqukw141O+Fk4SmIZAiPrqWVwtezw\nyiQd+HK5nAwGA8nlcu7YKXaY/Gz6fRoY2aF0u92IjcF7xoezha3n4dNZtDPByUSlUklGo1HkQG6f\nA1kWZ9z/AR/0FBhZlrAxVoSpLwRdyNAB32AwiETQFulJEkkncpisOCJiOhOwWRhfvKIjrFQJ3mPw\n4b4wtnzWn1ZmRKZseNNiRpwShjHa2tqKRCS42KEwe7ccAIjGcDiUQqEg3W53jr1Xq9VIBKYx8v2W\nwRGHD/3M+BCR+PBZSqejksFg4E4iYHyo1vPJbxVsy2BnYtJut+eiSr4QuTDB4YpBNraQIZ+og7Mo\n6/V66hGYxiUSTav3ej3nJE+cOBHBx+Ox2+26KRA2QjjFRcuQKwqBT2cNfPJaVY7akehMjx6HwAR8\nkB8bW8bJJ9Wg39z5pmRfarVaxKH4HEhSfJYTR2Uz5KgzdNqhwDboS49DEALIsFQquakjnZJNixTo\npiNMBFhMWBkfR5jWBdvBaV4+eQhBR7VaNdPqq0bRa0WY7OAwqLrdrnOYGxsbTnH5FakEX8MEMEeW\nSB8gssQBzixsXwSWhrCRdmZmi3khpIZwQZHZYerBpecqcKwQs/dareYilIOa40NjYwtDdOLECTlx\n4sQcPjjMuIHK8mNDBHwwRhY+3dIarDo6icMInIi2uPQczwlWqw1fNpuVSqXiIgBfBLZKKmhRs0jP\n5uZmrAy73a6ISEQ+cCR4xVmTbNSBr16vmxG0bkmcCV65b0WietrpdJwMLXzofz4SEBcIGsuPo2ss\nLdEOReNZV26MjzFyhAlix+lLjEFOPeosAY9DTfhyuZzDyNNAcU5kHaz4rA4+EGDx/LM1h6lJHXBg\nDOplIpwhqFarJing51p2HKaaktUR5vHjx51gwRbwinSP9bBhGDpjyx3EzK9arbr7WHOh+t7rNh1h\nwhhtbGxIr9ebu+BQ8AzaCOzt7ZkKEIahY0Q8WDkC45YUn557tIwt1rL58EH5rDWF1s/4HfA1Go0I\nvoOYh+ZmOUysZbMwIv0IVo4IGf1m6dx0OpV8Pi/1ej1SlBGH6SAJwTL4gG08HjuMGhO/z+VyEXwH\nMUerdYZT/DoTcuLECedE4FCAbzQazZ39CNID4qovrEFtNBpuDOoIc12yY40LjjDZYSL40IVOeM+p\nVGssWuOwUChIrVaTwWAQG2GuEn3FYUVjfCA9IAU6i2VFmHp9qLUeFr4CQQcTOx/GZeWYqEpWDyCO\nBBFFIszGJDqEIiKO4fiELCIRA8opBVRUgbmjZB7plTRSlpah4Mo8YMTcAvChyCcMQ2d4tDAhIE7p\noawafQiMuCfjs4z0KspsGYjpdOpS38DHc2Dc32CzfDK8VuYgCLzl4sAHbHH4gG1VfFp2eEUWhDFi\nXsinp0gf6yuTyZibBCCdpvXTKmxKQgwOCl8ul3PYcFi4bzOSOP0UkcgYTGJouX9wTxha1lO2M2wX\ngA/jUF9MfvSSGxhV4GP7wpj0+1VxMj6MF5FoFTA7lHa7PVf9CXyQpW8c4ntgSyeTidNPRJf4e1xb\n1Y6iMZliO65tDVLoeCaQOYw3PtQb73F/YLR8BWNkLFb0nGqE6Vsjw+XBiCJxQdkwyQzPP51OzVQJ\nwmw2qFw9qgcTG2U4pXUMkm8NEAYjmJ2OJKfTqat8zeVykWpfS8iMazQaRRwufz/jQ4rFijSXbbrf\n8F6XsXM2gAuRkFIdj8dzqUpcQRA4g6NfLXzLrptKKkOtp5YMoVuYn8vlclIqlVxqR19YGsQXyKMl\nO2vApqWjaeLL5/NuNxsfPkt+aeJjA497BUEQcZbABvIKpwcyB3sjIibhgQ7zsgaNkZ+DsYqkQwqY\nDGiMeC62pfg+yBDL6WBntEPB/bStsYi370radP/hsrBBhogCRcTpZzabdZkPvkDsuM4FdtTKWqFZ\njnIV+a3kMNmLszFAJ2Cg8vISHSYzC2K2x6+7u7uRwd7r9dzEruUo2aGwAUnSwMI0Rp0OYUVmhdUp\nZM1qwQh1akwbI+5rxpcGIeB7wtD4jC3wAWM+nzfxQYExD8tLU7A8g7dh8xECLqhJ2liGfGlixzh5\n/pGzAYVCwc2ZF4tF9z4Mw8icmYjMVUUzIcEziETTcUmM7kHg0xgzmYwXn3Yi/AxJMwNHfxH6AAAg\nAElEQVSMjfuQm7U2EcYW3wnCms/nHV6QATgZXLu7u5H5XEScejmY1le0dUmBZcyZmLNDwbp0yzHy\nvB2/BkEwNx2G6bNlHeW6dlSPc+0rID8sccJYQHCFn5nQsQxHo9FcOh5Ruibg3M9JHefSDlMPEE7R\naEVmQYPBIrRm0D7mNxgMXCoJE/RgEb7oEnOCbHBXFTbf24dRk4J+v++cyDIYC4WCiIjDB6XY3d01\nU7X8LLqCcdXG92ZsSKn7ohM8N4yPhZFfgyBwZf4gMXqBvI5MELFqo5QEoyU/pBI1Rsyxc6qVU5O8\nZzG/hmEoW1tbks3OhhDm8OOiL+0wMS/3rwUfCvV8GC18SQlBXHRiRZgYe+wwYXuYDPArKiphM4BR\nO23LYa7rLPUr3lu2FM4AWLCZCcgNp9Q5tS4isrOz4yJuOEv+zmUcZ1JiznqqAw+9Zr/T6UgQBCYp\nwHpm7BvOchwMBrK1teWIOsahlbGymi8162srR5g8UJEy1bunsEIjrA7D0BXsYJNfMD792uv1HENE\nulA7Qmuw6k5K0ljIPMfmSzvzujsut69UKk6hGV+xWBQRcYo/nU5dMRH62IouLXxJBytXIePyRSeM\nDxXKvIE6Y2R8Wn6oyNQRtJZfGikh7j/GaJECvEcqD8YImzXzptV8gSDB0KKSm7/fysagT6y59vsj\nPhFxm3/78DFGy1mug4913poWgbFFGpmJgN7gX2/CjcgbkSWqMfEMPnvjKxZalRTwOMArp2R1pgeR\nVhiGbhxWq1VnXzj64nQ0nhcFYRa+NJykT4Y68PDJkIk5nCTsJvSUr0qlIt1ud05PgyBYmJJNmgFZ\nKcLUAxX5Yl8aqNvtOuFCmVGOXq/XnVLra2dnJ8KIkI5gQcQ5lXUMrhY0L/a12FGv13NpVjgUVNjx\n4OQBjP+Fse31eqYxWoQvScN9ocCQoY+9W/iq1ao0m825yITxYb4VKRPGZ2FMgwwwRi0/vZ0anAki\nMBSBMMZ6ve5OQUAJPk5CQHQIsrGzsxMpQvDJEM5kHZwHgQ8XfkbKFo5kZ2fH6awmPJoQcLFJkuYb\n2xYp55QxsjdwmMDnO5FkZ2cnElnC7iwi5rq6NUnzZSA4+NBRWD6fl8lk4kgPj0MfMeflQbAzlnP0\nEdW0MllsR7WfgAzL5fLc0jM+TcW62u22iOw7y3a7HZmaW2acreJAVy760RGmnqTWnYF9UOEwy+Wy\nNBoNabVaEWbLbBdHf4ERIXWphWHN46QdYfrwMYMvl8vOGGHJRKvVckce6YEKHIwPKQVrsPrwaea0\nCDM+wxGmdpZWBK3x1Wo1abVakSOCGCf6EaXjSJngGXzGYl18jFGTgjgdRSZkOt0vqIAxajQakSOs\nYISxhg/VmsViMWKMfA7TcparRCcHhQ8kFu8tfJq0LsLHOFdh83xP37SITudhbSgi6XK5LPV6XZrN\npnOamhxgWz+sH0cxF/ezz3muW0ugiTnwWgEIiGulUnEyZIcJLDplib7kzSwsOxrnPJM2y85YxJxl\niOAKMgTpaTabEd1kXd3a2oo4S0TgccHFOlFm4p1+rOgAD8bsCzloVN+VSiXTSfI1Go0iaQakWZDX\nhvHU0S5K4bPZbCKnqZVGY9T34+IXPCe26/NhhCJzSho4kTLjpTWMD9/F+GCMlsUaF+GxcrEMffj4\nzDnGOJ1OI+eUMj6W4UHg8+EERmDTuokdQRgbn4kIeQKXiMzpJ/AhOoPRYKfG/YtnYN1Lik+PvyT4\nOM2uCy1WwQeZwXmugo/HoCavcCz4nziMwIczWHk88vyX1k3GJ7K/LSAbfauvV5Ef/lePQV5+xH0I\njHpOls+11EVpxWJRptNpREcx9lh+LEOk9n12YJVmjT+9xEpnAzH/zLss4TxkJjssQz3+eHkNO0M9\nVqypg2WI3cpzmNZA1c6EJ29ZmWFsfY4SxmgwGERSDHp9mFZmKDImi7VAkhQcxGHUlb8QFiusNXcC\nfNPp1HSWbJDwLDxY0Z+6InHVZmHUg4QrfzU+TQg0u9X49KBlfGDVvLUcMKaBT2MUkYjcQAJYbnAo\nODiYjRJIgIiYzlKTOu1QdP+uq6M6UlgVH6csWYbAp9cv8tIo4OM6Bu3MME+fZH6Po0xe78nORJNx\nOBHgq9frc2PRGnuMDUaXn4OjI33qBfpjlcZy084kjhAwKeBxaKVkJ5OJw6jxQR6crWBCgIxQEkKg\n8S1ymPgeLvBBRqDZbEqr1ZoLPthZ6o0pLKep+5unDpgQLMK51sYFyzgT3qZID1rL2LLgFzkUzf6w\nJAW5/nVSCpxWsiIwNggWKVjkULjISUfRjI8NksYH9r6q/PAaRwi002QGz1kCnrtkQsADl+WoI0wt\nv1wuN7cQPknTjsQ3OC1cHH1xWp3niqbT6ZzDtCKwyWQScSi6X5eZY1mET5NDX+Rl4ePoEviwvm8V\nfEglikgEH9uLVbABk64EZpyWbkJWnL7TqUqQnjhCYEWYkCF0CHYuaTYLhIOJATtMS08t8lOpVCL2\nEjIcj8dztpMjTOBjUgLSw2QgCaljOVrTZsDJ/YYKbthQdphaflwdzNg0KdDEwHKYq1Rzpx5hckez\nQmsWyMbW5zT1koxFESaMLbMYPHcSnBpfHCnQhsmKnIF/MpnMOUufw2SHks/nzZ1HVm2+CAyNjW5c\nlkCTAVw+fMCoI0zeGFqnpdLEpx0K5MaRs5Wy1PgwL2/JThtcHWHydyeNopn0+CJoPRWyCB/LkvHF\nORQrgtb4kpI6HX1xSlZEIg6TCbmOoOv1urca3yc7TQi0w9Q6lFSGbMB1SpblyPaFnQYTOWud4ng8\nNqdDdOTFMsTyNmAcj8eJpg00WdVztdqucsaAI0ykZK3NQyz99EWYjNWy6zym4lqiCHOZ6Csu985p\nBIv99fv9OcXWOWr+fu1Q9DOtk+5ahhRoh2JFYEwGkCrRgsfSFCtliQsDYZ0IehEhYBlyak+zeJ47\n0fh8xokjFJ3uyufzbkendVKyjNOSn3Yo4/F4jswhQkHZvs5+WA6FdZQdCkdg3Ke+vl9FhjqS5nln\nGNpl8XG6UhMCTs1b+JCuZHxJiY+OTJZJyfoizEaj4TBoAmdlr3TKUtsYHylYl5RbKVkrwvRlsTQx\nLRQKsre3tzQ+JgUWIUhqR3WEGUeI4yJMYPCNOZ2StYgBExSupOVx9COLMC12pPPvOqJcN8JkFpqm\nQ9H3i4swrQiMsZVKJWfA4iJMqyiG8a3L3rVCL5Ml8JEeLUPg0+lYTsniWXRBBUfQSVOyGqPlUNgQ\nwcFzyhIRmE53oQ9gjKw5TCY8rKNIq1vEbh2M1hhcBZ+eAlkGny/CTAOfHnvLpGRZ/ziCrtfrpoHV\nxlfPg8VFmHquPWnKMi7CtPSUs3R6HpPxsK3U83yLin5QfGcRgmXlyNGalqMVYaLxHKYu+tEpV7xq\n2VlRNJ7FItCrktbEVbLaEEFhfAUjFktaFF7HKbNIlP3xJgPrpPR8htYiBDxHqzH6HAZSkj6MOsLk\nJTw63ZwEH+O0UhIi0QwBY2T2quXHMgQ+HxP0pWTTxqdliKazAzri16kvKyJB6buP4VoOBVkQjqKT\nkh6N0UfmlsWnZQh8ljGyHIrOEuhoKYns2LjpdKWvglTP85VKpYgO86t+vyjChMPkufYkGH1ZLK0P\n1hhkO6OjZk0EtAytyIv7VxdPphFB+4hdXIClU+zlcjny7Pzeh49TspoY7O3tRcbJKnYmlfMwGbh2\nlBoIf1ZHqaw4OkzmCVwWiJ5M9jmBJNjYMAGjpcS+uQELFz+rZeh8KQRfdVka2OIiZ01UrKozzdis\n/tf4RGyGvU6achFm3bReWQbM57z5s3rON66oQrPsdTH6Po/vt8aNhc/SK8am8aHpKFCffpEGPn0P\n67l0VM99js9wkY6+nw+jFYEhgk5jLPqapV/aNuiojat1GZPGZuHjLI8VPafx/Pz9bFeszIV24kgN\nM+HW8tcOlftLZ7K4j8bjsbt/qilZfLn1qpXO50zY42uDGxeuL3IoiwZ/0mY5FC10n8OMIwU+47QM\nKUiDEGiMaBofR4UWM7XYI2PTTHIRIWAZpoGLselniftMHBFD04Ybfaf13HKYVh+ti1U/l48QxOHj\ne4iIk7k2TmzYOMuTZpbAapYhtogYPxOP27gIxyI9bLx1FistAmvhw3vG54uW9vb2Itj0Z1lu1jjW\nc5g8950Em/X82mGyjeFX33QbnBkiQn1/7Sx1FkRPHXCWcBWMqUaYPmPLBhfNMrZxrD4uGjgoZ6mb\nTseChcU5TH7GZfHpgcGfWdcQaQdiyVBHmBYr9TlKSwY+lsz4fAuaD7LFOfFVIkyfsRU5+AhzGXzc\nGB8/iy8rYOHj+x4kPovs8LNZDsCKMPXz+4j4oojVmvo5KD21iAEa6yeeRRt+K8JcFEHraQOeM17n\n+ZdxmtZUDUeFItFCxEURdFzhFs/T7u3tSS6XWxrjSnvJ8ntmx/D+7EzAUjD5bDHvuHTloggTHRGX\n6kyqyPx5X4S5yGHy88VhjMNnRdFpEYK4yIvn95YlBJazXBRBs+FeZLzXxWoZXF9Ur/s7zmkua2z1\nPPS6clz0OWb5cSQzbrz5DJ4mTnER9EE5k7hn4j5H9JXJZMypHr4fG3COMLXxTqu4MA5fXBRtYdTP\nEic7fS/tMNMoLrSeweco44qttIND6lREIth8l4VRF26tktFaO8JkZeFO0XOYOsL0Gdtlokvr8weV\nIuEWF0VrjIscSpxT0Z8/qJRsXIRppWR90VhcdMm44iLMRQb8oFpSnfI5FJ9B0unKNKMTnw5ZpGAR\nPt+48+HzEYI0nYmv330pSyZhu7u7TpcX6aaOorm/4lKyBxlhruosF0WYmmAwaUVKFktS1iE+eszH\nRYJW9a4mKSxDC6MVucZFmBzwYCwu01ZeVrJMB1kVaFbRiDa2cYzeMrg86K2CkSSKbEXSOoLW7GTR\nHKaP1VtsUKe7eHDotHPSpvvFF0GjSs5KNVqEgPHGRZhs2Hz48NmDdJqLiNgikhJnbDVGKwI7SFLg\nc5aWLi4iBYvw6TnMg8qExD2XZRfwTNlsNva59NheVPTD6cq0ZegjPD7b54t2F2UIWIbamaDf1iUE\nVr/66j+YlItE5zC5Mpmfx4qctZ5qwoP7cZXzKhiXdph6AFppKM32tIfXgsF98YrPa+ZkOULt2NJq\nq+LzGUawGL4nPo//Y4PFmPT7NJsP37IyZKXDXAIPCgufNiyWLC3M6/TBMjLkZhlGLJPQZf2Q1ypz\nrvr7dFsFo5ahT358b01OeBzmcrm56DBtfKu0OEOrccZFu7zRgCbyy6TZLdIR15aV4TJ2VDs23N8a\nh+xQsKxkb29PRMR0CNxncbjWsT2WDH0ZOc7MaRuKk0105nJRbYHuO+DRPmXVCHqlCNPXCToC8aUP\n9PEu/LCsQFz9pR2LxQ61kcfvkzQrktSVsHFsjw9IDYIgEgni3pwy0vjgcKzo03JkSZp2lMvKUJ9p\nF4ahKb/pdGpWTY7HY/d3n5HCz/y6asNz+Ngs96WVqdBMVN8jl5ttTG3hm0z296aMIybryNByJla1\nNve1xbIHg0HEgK2Kj/taG/x18ekxaK139emptjO4Fz67u7u7MMLQkVmcDJPi5Hsim2M5E8aodRSb\nwWv5aRnquUgecxZOH7Fctmn5oY+tqTo9DrWzxHnI7DDjUuOrEp1V2spzmNoA+CopReKNbT6fn0u5\n4t48UK0Buyjdt47BtQzcIodiKTEGquUYJpOJOR8yHo/dPa1nSkMRVnEmFj4+AJZlzfKLc5g+QpCm\nkls6ahlbtGUcyiJjxMyV763724riV2XyvjHoKz7TxJX1VC/ix8XEVePT2HyZiqSy9EUm1rpu7kMr\nOoEz0Q5l0dIQHQFaEe46eqr1Ik6OcWMRMtSfR4rTStlqbHGyS0OGKNSBw7RkqPEBG85U5kJSruL1\npcbj/MAqEaVuK0eYSaITANNH5Oi5M9zXMrS+9BALPi2jC0VmVuqbp7RSsXCYcCga33Q6jeBjhQ6C\nIILxIJ2JRXp8xlY7k16vN4cPeiBiRydMCCwZrkt2LIyrZgm0nmpjZDkUbXzZCfoM7jqGSN/Xl+rS\nzF3L0JdyzufzEgSBWcRj4ePxkkaEKRJdQoDv9qXzIEPLmfB2jJyutOY0rTEXF12mEYFpp6LtKX8H\n2xqL1OldtcIwdDtoaYfJ99YY04guWT/ZmbG+aT3x2dFCoTC3m1MaEWYSp7lWShaT6cumKznCBEvX\niomUySKnaT3Xus4E9/KRAl+ahAXNKVnLYWJg+PDBGOk5hzSZX5yxjWN9OtWlB5x2mDpToAmB1edp\nkB2LvS/aREPPsfuMEdapwaFYhS468raMURoRmNbRdSJMNrQo4/eNP2QRDhofY4MziYvALIPLEXQ+\nn48U7SxbCKTxpZGS9TkVy5YuE2HyOGaH6dum0MKnr7QiTCYheDZfRtJKyfJ+28Vi0VuYFEfC0/AN\nIms4zFWiE90JvNehNt68p6hm8HERphVlrtr0vXxzCxqjNrbAyA6FB7+OThgjjNFBpCx98rPw+QiB\nxmcZbo5ONBP0OcyDJD2YQ/FNHTBzjzNGHIFpY2RNGViObd0Ik/uL+3wymXhTlb6CJkSYjIuPeFrW\nsWiHkgap43uCXFvG1kfOMf9s7b+6aGmItieW/Kxxsg5GfN4XYUKWviyIFWFmMhknz0Up2YOKoEEC\n8LOeGtERtMbX6/UikeVwOPSuFdUkDvfV9nqdtvIcpi/68hkCnyFCJ+qBryPMuHQsOsPHiA6CvWcy\ndrGBxWy1Mi5TULFonigNY7tIhosMEeRnOQMQId8cLRtxX8p5XcdpOUzN3i09ZdLDctRGFxHYqg6F\n+yzNCNOXzkOzIkw2ttqhaHy+aRE8C4/hNFLOfE98D89/cT+yM7HGIcYcNiq3slerRJhpRNH63tPp\n1GVmFs1h+jBapI6nt+KKfjROy54mwQgdxP0mk0lkMxvL1lh2JpfLuQ314TB9hzVYeqTbOk5z7ZTs\ndDqNHCujTx1Bp+3t7bnz8jCHZ6Xt9vb2pNPpSK/Xk36/7zoGwubv54HAx2VZVXSrYLTSQVoZuQgB\nUdNoNJJ+vy8i80SB8YVhKN1uV/r9vgyHQ9nd3Z2bX7DwxR0Eu6oMGRtkaF2QIQqVBoOBBEHgjK8v\nSt7Z2ZFeryeDwSAiQ+DThgwHFzM7ZqOfFKOeP9GnyZRKJbdWT2RWhj8cDqXb7c45GsYchqG0222n\nq4PBwDF5fB/LkU8KSUOGOjrRMuQTSXiJEwoq8DmuDmaHmslkZHt7OyJH4OOIIZPJzJ12oo3iOvgY\nIzsGxomiEIzD3d1d6ff7EXLNsgTObrcr7XZbdnZ2pNvtSq/Xc+Nxb2/PjUekc1lv2M4kjcQ4CkNj\nYs34LIyDwSDyWa2vLEO2N9Df6XQaGYs+O5pkHILEcPCiswb6SEQ4eZH9cYi+hT0Xia5P73Q6srW1\n5fQU+Hy2VB8duSrGlddh6kEqIhFnoh0KO8jhcOjecx5aG9xeryfdblcGg4HrAHaYWqm4E7QxWrXp\niIAx+g4vhQPBQMV7vpilZzIZ6XQ6EYeJghhm6xqfZWyT4tPORBMeNr7aEI3H4wjD0zIEPu0wOSrx\n4UvTEEGG+J12XPherEWEHKGnFpnD72CMgBPMlwt/tDGyzgVdldT5IjCWocbHa2bH47EztKyXjI8d\nZqfTkW63G8HHhMAytmmROugpmhVFAS/+D3rK6UsuzuPpk36/P+dQNPFhXQUB4WPQrOKVVTGyDJch\nBRh/sKUaH49DTeowFnlcMKljGa5DenBvNI6kLbKMY9ggR/gLrgvgTAJk2O125xzmIh2N09NFONeq\nkoVCWU6E53pYsOgIXa3GF8qJdXSCDuBO12czWuw2iSIzKYjDqCNMZn++wp5sNjvH+HiAQsgaY5rs\nnY1tEATmeXocYcLAsuP04ctkMnMRJqeEWIZWhiAtQ8TGljFaERi+Cw4TGREdWVrGyDK0jJOJgY/U\nrYqRDRAwW0YWDhPfY+HTzhIOMw6flSlIE5/lTHiuTmdC8BnoJ0g5HIt2JtphIqOliQEwHhSx06lR\n6IsmP7ClIvukAI6Tp3IYXzabjZA6bU81IdB2RpO6JLZGNyu7hAiTZQ49BU7tLCHffr+/UoS5brYu\nkcOEIcLPOjLhVzgdCNJ98X0VtmyQYHAx2Ws5TF9KL42UpR6oUJYwnD8Qmb9LZD9NsLu76+6n8+za\nYXIKiKM9S8i+dB6eOwk+PRnvS8lqVgeZanx4n81mXWTyo4ww9c8c6XFKFkyW51CAURcvwaFks9kI\ne+fB7WO3mhCsS3rwHhGt5Sw1PsiBZaizIUjhsjPx4bNSzmnLEHprRZj4TnYaPKeFTIp2lpj/A0Yr\n48MOxcr0rEvM0YciEkn/Mk58L7ICPBa5oIsjZ+ADcUUEjYwd49MyTDOTpVOykIflwEqlUqRGhfVU\nkx6W33A4nNNTtjUWqdPk/EAjTM4nI1T2RSa5XG7OWfA8ly/CHI1GsQ7Tl5L15d6TsHe81xj1gEWV\nqXb6iKStwp5cLjc3h8kp2UVCTmOOluUJ0mM5TcjQSr9aFc3j8VhyuZyX1YrMR5ic6tKGaFX5aVyQ\nIc/xaadZLBYj0wPsRCAfNkSWw/RFYMsYo3WiaH6vI0zWG8vpQ0c1PjjMZfBZWQKWYZLoREeXekxo\nPeViHp6HBUHXFcKowByNRpE5zDiHCRn6UrJ4zlUworHT1ClZJiIWOdVyZXyZTEa63a4j576akEUR\nZhIdtfpDZ8947JfLZe8KCWR+gJGXtu3u7kqn03F6iuwAf5/OZsXVEhxISpYHjC6I0Q6F0wRc4SQi\nESfC7zEhv2xK9iAKKjRe3/xlLpeLRJfAyKkdXYmXz+djB6gvZZnmHC1jgwytOUyND6wOl0V4QAh8\nxTA6wowrNlg3OgGLFhHToZRKpbk5PaR6OGWuozCQAl/xFp5DGz9taNfVUY3PiqIRoQAfGxx2Nhib\ncJhsbDm17osw0yxMQ+OpESv6Qr/Cbmg95ahEV0BjDowdikVgdUrW51BWbTDQuujHwlcoFERkf29Y\n2BrYGdZRdpjQ42VSslpH15n6iZOnlR0slUquL2BTgM9aboJpu/F47DByzcuioh8OeA6k6IeBs5Ch\nyBAuHqhcLru8tIi4PDSEjUiLy6jxyjl6EXHseTqdzqWb8JrmZDy+08LI310ul13VKKdjMUB1ZAqs\nMMp6nkQbOcboSyMkSTtbMuQBiv4EPsaE9yA9WoaZTCYSfepKQwsfrrSKRjRONCZZwFepVCIEDhhZ\nnowNz5PL5SJO0jI8usBI62dSHY3Dp2Xow8fvGRueJ5vNzuHj++sIVtcRpBGd6LSeL5VXLpdFRJyx\nxefYyAIbGtdTaFvDTtkqEuMxnQSjFXmhaaLM0RfsDCJnvOc+Ajasy0VGhAMOX1ER8OHvSWUY938W\nySqXy1KtViNyY+e5t7cXIYjsQFE7wjJECt0ah1xAlWQcJtpLVguIq8jK5bLU63UnpG63GzHy+Nze\n3t6cY0NnINedz+fd/QuFgozHY2k2m9JoNKRWq8nx/HF537H3yR+e+4dSLBbltV99rWyONiUIAvl+\n9/vy+DMeL3961Z+uZXAZIwxRtVp1A01E3OJaTs9gzRGnT/F7NkDFYtE51lKpJPV6XRqNhtTrdTlR\nPCHvP/F+efe575ZSqSS392+Xt9zyFsln8nJB8wL5/Wf+fiTaSCJDzTJhZCHDIAicEwMOKLU1qBAN\nIM3L8iuVStJoNKTVajmM92bvlT++/Y/lhrNvkHw+L//Y+0f57b/5bSllS/LIBz1S3vnMd67FbrUM\n2WFWq1U3P2LJCPOxPuMBkoP+KxQKUi6XpdlsSr1Zl5sbN0tvtyfBPYH8u9q/k6vPuFruGd4jr/nc\nayQTZuSSo5fIO694ZyKHEocPjqRarbr5WGucYT7dcnAwrNBPvGd8n6x/0uF7ae2lcvWZVztH8pYv\nvUUuPuVieemjX7oWPiZ2ugAHtgY4tB5iOoWNojVnCBni/Xg8llarJfVmXW4s3SjdbleCfw7k35f/\nvVxz2jXynfZ35E23vklymZwUsgX5k2f9iZxeOH1t+WmMGItxMkQBmm+aBraF8e3t7Umz2ZRqvSo3\n1W6S3qgnwd2BvKTyErn69Kvlju4d8tuf/20JgkDOa5wn77r8XanpqCbPlUrFRYV6DHI9gQ4O8HfG\niNdisSgiIo1GQyq1iny8+HHpdDoSDAL5ldKvyFWnXuX666/++a/kz779Z/LR5390KTua6ABpPLRV\ndg0BAwwPRnwGrEDPVeFv3AnsLEXEOcxbc7fKlztflmq+KuVyWUqlkvz+U39fstms9CY9edGNL5K3\nPvWtqUxYi4iJEQMyn8/P4cAgtjBy5S1wQgHgMP+u+Hfy1f5XI/iu/9r18vJLXy7PeMgz5Dc++xty\n8503y09f9NNmamdVjFzYwPig4EwEoMiMj3XCJ7/JZCKNRsPJ8PPTz8sXj39RaoWalMtlyeVy8sbP\nvlHe/KQ3yxPOfoK8/Utvlw/d9iF54U+8cCVcvsaFP+VyeS71xrJDZAK5+xymNrTj8VgajYbc1bpL\nmrmmvOKcV0ihWZCXfetlct0jrpPfveV35dWPf7U86ewnyWs+9xq58fYb5XkXPy819q7x8XjS+FAN\nyxkQjY+zH8DXbDblX478i7TyLXnF2a+QYqso/+mb/0mue+R10t5ryys+9Qq5o32HXHLqJYkjTAuz\ndiacXrSMKaJN6CE7FHaYWobT6VRarZbcUb9DmvmmvPq8V0uxWZRf/dqvygse+QJ585feLG97ytvk\nEQ96hLz/W++Xd3/53fK2p79tbYfCthSkTke/WoaInnUGhO+HfuOApNFoyJ2tO6WZa8p/Pus/S7FZ\nlN/49m/I8x/+fPmDW/5AXvW4V8lPnfFT8puf+0355F2flKsuuCo1h8m2BtEzbLveGLUAACAASURB\nVA0X/cBHIFrmMQoZw5Gi39DCMJR6vS531O+QRq4hv3nub0qhWZD/+PX/KD/7Ez8rmUxGvrX1Lfng\n9z7oCOKBRJgaPB4OzkSHxnAK6Iw7mnfI98vflz3Zk2FlKOf/4Hw5f+d89/fBZCA3nXqTBLL/4Gfv\nni2X9S6TMAydsT0nf44899Tnyh/8yx84hwKm9da/fav8yqN+RU6vnZ7IYTI2nVIslUpukEL47FBu\nr98udxbulOFkKIPyQM77/nnykO2HuPsNp0P5eOvjc/ge132cBEHgHOY5pXPkOUefI3987x9LpVKR\nUqkkjzr1UdIet2fzS3tdKeQKcwMkCUbICvjY0LKhwUC9s3Wn3F29WybZiYwqozkZjmQkN512031f\nIhJIIGeNzpLHdR8XcZgPyT5ErrnoGnnHP75DyuWyZLNZuad/jzzh7CdINpuVJ5z1BLnx9hvlRY94\nUSIZ6sakRztLZu3fLn5bbj/rdhmOhzIoDeT8u2f4YHz2wj35eOvjkXsDn8iM2T649mA5cuSIVKtV\nyZazkgtn3/uNk9+QJ5/zZMlkMnLl+VfKZ+76jFx7ybWpGCN2buVyOVLYwc7kttJtcsdZd8hgPJBB\naSAX3HOBnNc+z8l6nBnLjUdvjNz77NHZc/harZbUajXJlDKSC2dGfne8K6/6qVfJp+/6tDNk686B\naXwwtjwOWYbj8Vi+W/mu3PXgu2QkIxmWhnLhvRfK+Tvnu3E6kpF88tRPRu5/5vBMeczOYyQMQ2m1\nWnJu49x9GZayDuMNz7lBTq/ObMtEJlLOlRPbGZH5AiDIEJWj+L3W0TvOvEOG46H0i305/+7z5dyt\nc91z7AV7cvMZN+/bmWCG77E7j5UgCKTRaMjZ5bPlyJEjUqlUZvgyszTte5/xXslms7I33ZPjg+PS\nKDRWwhdH3HWA5Vs2MhqN5J/q/yR3V++WXdmV3equnHX7WXLm8TP3q2dlJLeef2tE/qf3T5fH7DxG\nstnszI5Wz5FWqzWzL8V9jNujbXnnl98pb37ym+UVn3nF0vOYK21c4GvMGNjQgtmhTSYTyU/yMs1P\n5VFfeZTs1ffkqz/xVbnwtgtdh2XGGbl642qXRnHzY/XZ/ZrNptTrdXl68+kyLM4mtjH/lclk5OTw\npHz+B5+Xt1/x9pUrSa0oTUdgrMSIsCJp2N28TPITefSXHy39Ul++8chvyAWdC9z/ZCdZuer4VXNz\nt9n67OdarSaNRkMub14uo/JIMsczbj7qoqMXyWv+5jXyh1/7Q2kUGnL5uZevZIwYn5UlgAyhwHg2\n/B8iy1yQm8nw72cy/NrDvyYX3nah+7/cJCfXnLxmTobZI1mp1+suJfvM1jNlUJjt/gTCc17jPPnS\n8S/JUx78FPnrO/5a+nv9tYwRNx0t4XcoLAFrz/fzMs1M5bJvXya9Yk++cslX5KHffagbVLlpTn5m\n62ecg3FXc/Zaq9Wk1WpJq9mSTCkjb/rWm+QVj3mFK9zAuGgUGrIz2kk9JWvhE9mf88r38zLJTOTx\ntz1eesWefPlhX5aH9h/qiF9e8nLt1rVz+MLG7F6QYbPZlLAYzvA9dobvwvKFEoah/J/v/x8JM8m2\nj9O6iffaYbKtwf84Ge7lZZKbyOO/+XgZVoZy60W3ykW9i9z9ctOcXH3ialOG2WxWms2mHG0elVaj\nJUEhkNd+/bXy6se/WgqFgpxdPFuCIJBb7r5Fbvj7G+QTL/pEKqQV8tIyRATE+HLDnEyyE7ns25dJ\np9CRrzzsK44QBEEg2WlWnn33s+ftTG32c71el1ajJa16S4JiIG++7c3y8ke/XPL52XrP73e+Ly/8\n6AulUWjII099ZGrTIjoly3oK/UTRVjbMyjQ3lQs/f6GMG2P57mXflbM2zhKRmS5nd7PypO89aX45\nXG02d9loNORI/Yi06i2Rgsgb/+GN8orHvEIy2Yy88tOvlN958u9IMVcUCZY/VDtxhOlLV+JndAgE\njSKK/DAvrWFr9vdJUabhfpXfdDqV4XQoN55yo4RBKEEYSCbMyPnh+fKswrOkWCy6CKxWq0kmPzNg\niDCDIJCPf+fj8m8v+beRyDYpLm7ApOc+ME8HZS50CnLK7imz4oBpTqaZaYS9DKdD+cQpn5AgDCQM\nZgbl/OB8ubJwpRQKBecwG42G9PKzg1MRYb7uC6+Tm150k1x89GK5/qvXy2995rfkvz/rv7vnXiYl\nq/ExIWAZcoGHyH5p/nA4lPxeXhr9xkyG430ZcoR549EbZ7+7T4YXZi6U55Sf4+SHOcwwOzPC5fKM\npb/np98jr/zUK+Udt75DnnzOk6U9aq/tMHUmRKf98TsM1sK4IKeMZjLMSlYm4f7G7YgwP9b6mNPR\nMAjlgvACubJwpeTzeSfDYWEob/jWG+TFD3uxvOCSF8yKDcJZvwZBIL1xT5rFZur4eBwi1RrBNynI\nqcNTHb5pGN2Hdi/ck481PxaZz8QYjOArzvD90sN+SX7ukp+TYrHonGMmzDj9XgUf66d+z+NOTwfx\nnN7u7q7k+jk5sntkpsPTvNNRYBrJSG4+5eaIDM8Pzpdn5p8phULBZUEGhYG89uuvlV/+iV+WFz7i\nhY70fOhbH5J3fPEd8uGf+7CcWjk1tXQlkwImCZAhqmDzk7wc3T0quVxOapNaZAwGQeAizDAMnRwe\nMn2IXJG9QvL5vNTrdanX69LP9+VN33mT/MJFvyDPf+jzHb7zjpwnt7z4FvnANz8gr//C6+WPrvyj\ntfEBI2ypDq4QWaJKPTfOSa1XmwUmw5xMwtn/Q9bD6VC+eOEXZ7oWhhJmQnnI5CHy9MzTpVwuOz/R\nz/Vn4/ChL5brLr5Ovrn1TbmjfYe86m9eJYO9gXzn5HfktX/zWvlvT/tvC59/rTlMPVABHs6SK/KQ\nky5MC5IdzZQe386OLdwL5arjV7kqW33VajWp1+tSq9UkyATOYcJIfPauz8prnvSaSD47abNSlixw\nRLYcfRV2C5KbzozWaDJyn8W9spOsPOfe58TiA8YwMxvMIARHS0elVWlJLpeTs5tny6333BoxRmmk\nZNkoofKRFwv3+33J9/KSDWaDmmUosh9hXrt9rVQqFVeJCnwYqLgkEIcxCAK5+Ws3y59f9+fSKrXk\nZTe+TJ574XNTS3fxPAcXsuTz+cjOMIVBQXKT+1JG010JZH8eLAxDyUhGfnb7Z/erewvRat9qtSp7\nhT153bdfJ6977OvkGRc8w1VxX3rapfK3d/+tPOXBT5Gb7rhJnn7u01OZ37PwwXnm8/mIDAuDgmQn\nMxlnZBad8RxmNsjK83eev1/FXIxWozt833qdvP5xr4/gwzPx3FJajZ0J40W0yWsRc+OcZEf3OZ7M\n1P0/j8PnnXxeRG5cHV6v12VSmshvffO35I0/+UZ51kXPcuPh/X//frn+q9fLzS++WRqFhogk29Db\nIgeWDFF0x8sqcsOcZCf39cVERAKJpL8z04w8++5nOzyMrVQqSa1Wk3FxLL9z++/Iax71Gnn6eU93\nAcCLPvIiefNT3yznN8+XerEumTCTCiEATi7o5KwPr7HsdruSHWUl3L1Ph8IZRpH9OpBwL5QnfueJ\nUq1WpVarSaVSkWq16q5GoyF7xT15w/feIP/10v8qz7jgGVIoFOQJ5zxBbvnlW0RE5M72nfKSv3qJ\nvO3pb1vq+RNVyVq/04OEq10jaR1O0QTRe7LSWffUyxeYAcOofnfzu3LBkQtSmYDXP1v4+JmYweL/\nrXtxWhT/N5cawv2Ipb/nqvfIiz/yYsmFOcln8vI/fvp/JMZp4WOMzGzn+jwkwuT5ep/85jAG+xhF\nRC46epE88/3PlEquIk97yNPkuRc9NxE+CyN+x8+kdRT43LyIzBs16358j2w2K39+959LZ68j773t\nvXLDd2+QbDYrH33RR+Vtz3ib/NrHf012x7vysFMeJs9/2PO99z4IfJlMZoZP7it0mPpP+NH3Ynwf\n+MEHpLPXkfd8+z1y/Xevl2wmKx/7+Y9JIbvvNH3R4rrNGouRMXPfuPHZmbh7sc7/2Q/+TDp7HfmT\nb/6JvPe290oum5OP/sJH5eWfeLmc2zhXXvChF0gggTzlwU+R1z3ldWvh8T2TzzYE4QyXT3Z8L5+N\n+eDxD0pnryM3fO8Ged/t75NsJisffsGH5eU/+XL5tU/8muQzeSlny64aP63m8xdahoEEERniZ5F9\np+nDCFvzwWMzjNd/53r503/6U8lms/KRF3xkX08lmNPV2GefxlCjEydOeAHzK+/fqF83NjZkY2ND\nTpw44d5vbGzIzs7OPmOnTspkMq5Sk6OTSqUilUrFRWD6QoS5qOnI8+TJk7EY0fQOInjt9/uysbEh\nx48fl+PHj7v3GxsbrnqPcUKYwMPYdITJ77HWbFV8W1tbS+OzdoLp9/ty/PhxOXbsWOT1+PHjESXn\nK5/PO0z6Ah59lUqlpfBZir29vb00RmvHIsjQuhgjO3wswQFjZxZfq9Uc6+X3cTLkZ9UyPAh8GI+T\nSfScULzX+PhaFx/mxdE2Nze9n9P49AYSuE6ePGlenU4n4nzYUKM4imVoZUKQ2ms0Gi4dLLJvtC0T\nqmV49913x/YJ3sfJ8MSJE+6CDE+cOBGpFmV82WzWzGJBhpadwThkTBa+RqMR+fmee+6J/X80vQkI\n76rFdpTtabvd9sqQsUAP8WrZmXq97jIhi1qlUpn7XTrVFIftsB22w3bYDtsDvMVGmIftsB22w3bY\nDtthm7XDCPOwHbbDdtgO22Fboh06zMN22A7bYTtsh22JdugwD9thO2yH7bAdtiXaocM8bIftsB22\nw3bYlmix6zDvvfde9z6uNsgq90b58LFjx8yr3W6LiF1azcsr+KpWq3Nl/HjFkS1zW0Hdt7ky2hln\nnBF59mPHji3VUdaZiLu7u9Lr9Ryme++9N4IRR3y5NX20kwcvsOXLt6EBjt2xLsZ32mmn/VjhExHZ\n2NhYCqOFD4eV33vvvXPXIoy+JU6+pQrLYnzQgx4Uee7jx4+793Hj0IcPS4OsC0dF6aViWoYYf9Vq\n1VwOValU3PaU5rrBGHywBYsalq9Zdubee++Ve+65x73i2t7ejl2+BjxY9M7vrb8xRr22kTE2m83I\ns/t0VC8N4gPMsZEGzu3EGGT9PHbsmDvpQy9hy+VyEb3kJSTWZgblcnm2mYXChvdx49C3BFG3uGUl\nGh8wQoZWv/OyEp+v0MujCoXCnOwsjFpPRQ4jzMN22A7bYTtsqqW5UcEDqa11WgkaFu/iHEFsU4WT\ns3Hx3/kkBbxif0j8HZ/DvXA//N23aPggmsaon8vCiv/nyITx8//re/ywMT7Q8TFOCx8/q36+dTDG\nLW7/YeHjBfAWRhF7M5JldOH+oKOMz9Ix3w44Pvnpe/nwpeFUrMOf48ahZUf5WESWo8bHUR32UPbJ\ncFV5rvL/rKM+3bLw6V2NNEYrS6YxrttSc5hIJQwGg8i1tbUl29vbsrOzI51OR7rdrvT7fRkMBnPg\n+WeEybg/nDAUOAj29zzV99BXGg3poOFw6J5/MBhIp9ORra0tabfbDmOv15N+v+/O49Pb5fFxYLg3\nKwwffLsIX1rtgY7Pwoir0+nI5uam09Nutyu9Xk8Gg4HDyPige5zC4b1M+cgi3kj7h6Wjg8HAyVDj\ngxyBUeMT2T9RAjLkM1BxcDqflcobaR9kY3zABpwnTpyYkyH+preZw3sYUsY2GAyk1+tFMGI/V5/T\nPEgZ4trZ2YnYUuAbDofenX6w25C2z91u16VokZLPZDIOo+/EpjTxsZ3Bq2VnBoOBDIdDU34gr/q+\nwFiv1yNnbfLG/botK8NUjveCQNAJ3W7XXazEbGzhMH0XhM8KzeAh4L29vTljpDsgDYGzIvd6Pel2\nu9LpdOYUWTsUVmK8YkNqfcLCaDSKGFofPh/OQ3zLYwS+brcr7XbbixHPq/VSO0tLR/kM1TiMwLlu\nwzNY+DY3N02MGh8u7EPL8oMx4vNu9ZF33NImBZPJxBl9YOt0OtLpdCIOs91uR0iPdiS4eA4UhrvX\n67nN3CFDHHTsi1YZb5LGUaYlw06n43S03W5H9BMOU+tnGIZuvLFtxib6IIPYD5vH4joOxcLGjfHB\nzli+guWnSQ9fiC6hF7hnsViM9A3kuIjYLcKYWoSJh+71ek7AMLbtdtsJWkeYWtBBsH9MFZ8Cgl36\nmfFBIQD0oJylyH4EMRwOpdfryc7OjhucmvkBI4Sl2R8bI8Y3GAxERCKHACOi1oUnFs51Ug4PdHzA\nyMYIGLe3t72DNc5hcr/xSRLY8JwPHLccJmNMm/RofFtbWxEGD4yITjRGbIit5dfr9ebw8YHjaGlG\nJT580E/Iz4rAYGcsYpfNZp3cYFPy+bwrCsHvKpWKkyGwxZGfJA33XiRDlh8cps4S8JgEvn6/7/Dl\n83kZjfZPUtJjEc+z7nizUrwcCcLO7OzsmKQV0TUiTMvWIKMDQgB8hUIhksnC/uScYk8SSaeaksVD\ndzqdyCCNizAtRQYY7SwHg0HkNHI4zEXGaJ2Gz0+nU1ORMVCtlKUvVaKN0XA4nJ0zed/hrVDg0WgU\nG4FpUpAE6wMdHzcdRYPQxWHkuRPtMHmOCQ4FR6RBR2u12kKMBxGBWZElHAyIa6/Xc/gsOTIRGAwG\nbt4rCALnLKvVqukwua2CLc5Ia2cCfCdPnjRtjS+TxTIcjUbuIHhULOfz+UhkORgMYjGmJT9gZHIC\nR8LRsw48mNTheUTERZlWVfZ4PHZYK5WKc7w+GayKz3KWnLEAPkz5aPkxaUWg5CN2w+FwDh/0FP6i\nUqm47M86+NZymGxsmcnAYULI1hxmv9+fC6/RCTxJzYMVzKFcLku1Wp0zuHgmn8FNik9knhnxYAXL\n1coMhqMNUiaTiaS5YIhw5iIMkRVBW07kEN9yTae7fBh5sPocJhwKMObzeRMjG6K46DINjIvwgckz\nKYAM9TjMZDJu/PEpJpjbLJVKUqlUnDOBHIFLv08zgsa0T7vdlpMnT8rGxoaTnY6g+/2+l6BYSyeA\nERFJrVZz87Y/irT6zs6OkyHLT6dkfc/gs7GTycSRnnq97u4TV6SWBB87S8anM1k8Bq05TN+48UWe\ncJyQY6PRiNgbHzFbhDGxw9TGVkeYGKysxDrC1BO4zGx3d3fnjhzCcTW1Wk0Gg8HSBjeNppkRRyeW\nIWKH4jNGjIuPxqrVapF0CwaqZlhpM9sHMj7GOBwOI3OXMEa4eLDGOUxg1Ot+sf6t1+vNYTxofJbD\nPHHihJsLwwWHgnT4Mhcbo2q1KvV63Y1D3xwmv67bfITg+PHjbr6d8fmKC/m9deH4vXq9Lt1u1833\n/bAiTI0ROsrz0rroR8R/JJd2DpA5CAH0lFOyGt8qTTtJHWHqLA+CKx5/OsLk59Cv1veEYejW2dbr\nden1erER5rI4l3aYvhBbROYqzMCMwNZ1sQcv/tVGFWflcXk1IljMk2KynsHHOctlBR6HkSuAdVFM\nv993DBRzAlBi66xBpJ01zvF47NisD986pOCBjs/CxWwZGFHcAT31YYSBtKIQnjrA90wmExkOh27B\n+SKM60TRHAnwOLQwstHn+cdyuewIjnb8iEK4xJ+XJnD5/zJzXUllyJdlZ1hHueAql8u5jSJ4qsCa\nNrCWl1jLiyxMy0aYltPS+jOdTh0+Lp6EE+FonjGKiFnYJLK/UYBeusG4lpXfqjLkJSH4Ht8YbLfb\nEYIpsl/rwLLTr1yUxsuo9LKUOCyWzfG1lSJMDR7vWcha0DAcEHC5XJZcLifT6dSlsJDOwiscIy4Y\nIWsdpq8jkrJbS9AwhCxoCBsl6DBEIAPYMYNx4T3mFti44tLr2yxc6zDaBzo+ETHxaYw8YDVGYGOM\nGmcYhhF8/N6no2llQHz48BxalqhoFtk/2DibzUqpVHIRsR6DwMcX2H6ckU0DH2PS8vPJEEYSc+Rh\nGLrlPJAZsOI9sg3AhVfs7sQZj0UtiZ2x1lTyUhJdRQr7B2x4hY4yPszh6aUbeOU5WzifuKh71cYk\ni195SRDj63Q6c75CZKanlq/Atbe3F1lehFeeu2WiFEdUU40wRaKKzJ3AiszGttPpOJYeBIEDKyJO\nsQuFghSLxcj70WgUST2AXTIL5EHr64Q0BM2RkTZEMLboG0QfWFuIOVeNMwzDSHql0+nMKZY2Sj5W\ntCrGBzo+PCtHDYzRGqzdbtd9FhjRGCPraRiGkfQfMCJC0RjTiqA1Pn7l4ji9jg/fASPC+ICLXxkf\nojj0oRW9Wy0NfJb8OBOCC88BJ5LP50VkvwrUukajUSSN2+l03HdrA5tm6pztqN5MQhMdPQ4tjFqG\nuMIwjEw17OzsuKiMiYPlUDTepBEmR+yY8mFCgMIf+ArIkecgQdRxMU7IkC88pyYFiMDjMjypRphs\nYFnQliFCJ/AELF+YcLb2++v3+666T0TcchUrwlzkNJfpBG56sOI7fcyo1+t59wcFLo0zDEM3L5HJ\nZNz9fWmgRYzvEF8UH9g78AGjFUVjvpIrJdmYaIzAGYahK8ZAkRPmda0o2sLJ2JLIUBvcuAhTR1l4\nRSWoD9/m5qaTIeaSfI4yDss6xhaXji5ZV3WUxZGzZWfK5bL0ej2HEZEMsgSc4lz07ElkqPEhpeiL\nLheNQ+x5y1cmk3E6CscDjOwsDyLCxBhkbHrTCca4s7MTmdbRVct6/2L8DF+xubnpKtTxvRojnKYP\n34FFmIsUmZ0mFBbKi4WzLGTe5LhSqUin03GRKJxlEARz8yZx7D1J08aWBe3D2O12pVQqOYEAH6qz\nrE2dMSEN4fb7/bk5FT3HkYYiP9DxMU44E959R0dfbJAsjNBR4OPNyIERVd39fl/a7bZJCqbT9Ap+\n9Jwwy5HTw4wThS8wIL4xyDiBD3LDZgH8DAcVXWo7w/Kz9LTX60U2DYfNwcVyY6ydTselpZHFwv18\nEdcy833LYuQlSXr+2XKaGFO8YqBYLLpde/SF4iWkb0Gqut2uy/b5nCZk5wtCFuHTwRV005r2ga8A\nHiZzIHR683hg7HQ6bpoPPgK6zySR5Qk8ca++tlLRT5wi+/LSEBgEbZ1EUq/XXTVTrVaT7e1tEdl3\nltvb2874+tg7t3WdChtbKHPcHB+MLIwRTnfQAsZ7rgYeDAbSbredYWKn4sOTNHr+ccAnEs2E8P6Z\nmt1aGJHCY4zWxRj7/b47UYEdmS/tnAbxsSIUy1kiwkQkksvlIic8WEYIMuTswM7OjjNKlrNM6iAX\nyc+HTU//iIhLlWPdncbVaDSkVqtJo9GQer0u7XZbstmsTCYT5yzhXLSB9bWkuDW+ODIAHeW5S9jS\narUqzWZTWq3W3IWNF5CGhT0tFAqxc5jAs45MdYTpy35wSnY6nbrpAugrxmGr1ZJmsxm5Wq2WtNtt\nF1xBV3E/xudLO/9QI0x0hO4M7pBcLieTycQZIqyJaTabTnH1VSgU3P6Jm5ubbqBa0Ylv4CZtvsHK\nGPXALZfLs868T8gsYB6seEVBBRbtgh3jey1saRiiHwd8IvuDdVk9HQwGUiqVREQiDoUHaaPRcFez\n2ZQgCGQ4HLrlN4xRF+WkjdFKqzNGLcvhcOgqYi18kJuWIWoJ2u22FItFZ5j4OVaJNpPgY2JuRdC4\nsEcoL1RvNBrSarUi9oZfsXkGljeAUPhIjIU1ScQZJz9r/EFHURHLxLXRaMiRI0fkyJEjcvToUTl6\n9Kh7j6IY3gQBcrScSFxLi9RpveT0OnwFSE+5XJZ6vS6tVkuOHDky93rkyBGpVCqRZThbW1tu4wkr\nsly3rewwdbjtS0GJzDoZJexI4dXrdccOOE2Cc8qsvHOcYPl5giBwr5h/QDpslabx8TyYnn8DE0ca\niDE2Gg2HEWlMrv6y8KEcXGMbj+fXm3K67xDffkuip7yDFDDC2NZqNaejjFGvMbV0VD8H4+OlKatg\nZMPN2Hz4UEdgjUNElDivE2MQ+HwVhr6+5nGYFJ/utzgZ8ndChshiwc7gfEScZwmDakVW+nutmo00\nZGjJ0iqGExH3PTznDHxHjx51csR5ltls1slAO2ffpfEB+7r4NE7duO8RVCGyZDIAPYWfQGGe1gOf\nzuhpRP39y/qKlTcusBRJG1tu2mGyIsMIWQ5TGyI9cJcdqBDWMk0z5riBimYZW7B3GCJMUGMvR0Tc\nljPRzoKNok4j8HrHHxY+pM6BD9juD/iAEa+aFMQV43AhGjDCEPGhydBRRDNxGPmZtJ4iTZYEo77n\nqvh4HLIMeQxChhYudi76OfC/y0afcdh0lBJHDOBQLIfJ9RF82Dzj8+HxGVuWYRKM/H0ar3U/kB5E\nzxiDp5xyitPRarXqpk4wxuIciDU2eF/adfHF4cXPaKyjSDXDYR49ejRS6IOlNLjHImfJPgrvLcKj\nn8lqiSPMOEPEjAQVTzo6abVakVJhZrfaYfpYrn6eNJjRKhi1oHlnCUQmiErYGI3H49jcOj+LVgKf\noH8Y+LSx5ciSo68fJT6NURM7bWjxXb4IEzLEhQhlPB7HErq4Z9HELgm2RRE0O00r04O5PK2jiL40\nPvTTMhGmFeUmkaFlAH3fY0WYSMla8lsUYfocC4wtp991kJBUnj6CgedDhMl29OjRo5FxyBkCq6+W\ncZzQ4zScpQ+TdU/OZOkIk20MHKY1FpaJMDVGbQ/iWiopWV/1KneCTiW0Wi23logvvePIonSX1Vlp\nsNu4KJrvyekuy6HwCQh4j23/VsFnGVq8/2Hh04O1UqlEcN0f8DFGn/FbRApQaMAy5HWKvLGzhY9x\nWs5ykYFcRYYW6dH3XUR6tH4CH0eXcRHmQYxBi9gtijCtlGyz2Zxbf2k5TN2v1vjAhYpTOM11MPJ7\n3W+QnS8l22q1XPTFC/s5JbvIUerIHc5EY1s18AAuH2ZuwGg5TGDkzQowBysiET2wyJWVIQDp0TiX\naalGmNrg+pgtHKZvXZGvusmKUvAsuuO0Qq6K02do49i7jk5Q7qzX902n+AMm9QAAIABJREFUy6Xz\n9HNwmkQ7k1UUelV8VvQFh6nXLd4f8Fn31tMGHBXEDVY2RmyURPbn+HQmZBlSZxnHVZrPoWj5aXwW\n6fHJcNk5TG2wLAeQFJsvitay5AiMHeaRI0fMXXBgdDWR80XuPueCJSnrRNLLkAsrJdtsNuWUU05x\ny5v0ONNYmABYqVi8WoQAz7oKLo3R+hs3aw4ThUxMRnUafdlI2iI9q8ow0RymZYz0YBHZH6hWKqHV\nas0JGZdliPR8AwsCz8JphFXCbG5WFL3M/BAiEMbIa/s4dTeZTOZ+Zw3cOGWwBtgyAk+CTzsT4CuX\nyxEMeP+jxOfDGBdhsjHSMgRGPUUwmUxWnsP06eiqbRmH4oswNXGFjupxxynZRVMiyxCCVcgc99mi\nCBPfExdhWmMwjuAsY2w5JZuGs7T6Dc2KMEHKjx496vY91kRlmQjTcqDrytCSJ+O1mpXlAWk9cuSI\nScL0e00MrFTsujJc2WFyp+E9pw208fQNNv0Z/mxc1MkKPpnsb7y7u7s7d8+kimxh9j1rnMHUBSwW\nCbCiamZP4/H+MWdQWr5fUkVOis+HzUd27g/4fDh9emqx2UX9o6cRfDqqn2Od6CQOo/W8Fk6rL6y+\n8TkZyBAYtexWxabtQxwmH7G2nj2OnPtkqaMY4GRDm5SYa1w+W6LHnE9unOoHKbNqQfj/GRsvbWEZ\nIsW/aouTl6WLi+TLfcw44wIrraO8NAl9jnW4kGOqc5jcGcsoLTs4SzBYpCoyv9u+ZXA5jWLdD89m\ndfI6+JYZWGwgIRzeN5fZvoVP70qBe2FzAezhyQMsqaFdFp82kNznVsXg/QUfnsOHM05PtQwZo5ah\nxqlTfexMsHECMIZh6NjwuhjjHKRlPNgBIJ2p5RdHfuJ0gg3tOtFX3LNom8DrClmGwGjJT9/bp6eM\nEbJEUVTSlDNj8+GyCBw7C/08WifCMJxLQVvpaK2jOHsSz4SK6TRkZ+HzOTg8Fy6ND82Hj+2MhTEM\nQyfHVUjBSg5zFabHHaMNEZwcdywbkriBgQlt3I+3XdKsYR1mFGdsdWGSxURhbMH2OP3Hg1QbW8uh\nYMEv9w8MwkHg04RAs1HGx/K7P+DTGBeRuzjSowsEfA5T4/TpqMbIcyerkDor+opzlpCh5UyQJrYI\n3SJjB53gMQ1DlJb8fBGVtg2a9LDBDYL9YjL+jjg9tSKxRXPFq+KzHLaOCNlZovGzINWI+/F9x+Ox\n6Uh8WRDoKPcFnMkqOC35wTktIgVoWkcZH7/XuPT9IfvJZBLZOIExHnhKlgUTF3n5mCgcnMj+wni+\nty86gSKjYy3WoDsiCb6kxtaKwPBZHT3FDfxF+DBIkqa8FuGzCIGVJbg/4uPmcx4+PRWxdyjBgPdl\nCeIcijZGrKNpR5g+Mov3wKcjTDYYfI84ndeOBDoB+TEZSIpN25k4uxCXRtWk1eewuKgrl8vNkSie\nC0sjwtRO29quzoq+rPoD2FDuK8tZajuK+/FOQ3gGrk1JKr840qWJgU9HIUPrnhoXf4cvwkR2E8vD\nDsxhLhqUllJbzB3zOcxGcX89MK3UCxixdsD433XTQcs4S4sFaow83xEXnVj4cC8f80uDwS/Cp42Q\nJUPg43vfX/DFRdJav6zoJE6GFrnTWRDLGGn2nmYmJO7iKEUbIxAeS37LEAImUTz+kjqUODvjswuW\nDIER+Pg58L8+J8wRpiZRLLck8vOREk1U2ZEwLi0/RGB4Xnx+MpmYzlJnejRxBWlg4rpq0+QZz6Px\nWRhF5rM8/LwWyWGMekzrOUxg1AehL9MSRZhxxpY7wkpXogNGo5FkMvuTyotSsugMZrdsvOEwYYjS\nnKz24bSYjBa0jnTh7Pleeg2Vz6EAXxqKvCj6sgiBTgVZazd/1Ph8OC1S58NoGcdlSA/rqM8YMcY0\nnKXlXHT2xzJGHGGyM7EyR9pJYQyyTsBh8vg7KNLqswtW5KtJAWdCrAhI66m2NXHVyKvi0zpkFepo\nsqPlZ0WYCERE7Dk+lqEOPIbDoVtLva4MGR9js5wl47RIAfCh3+Kc5TJzmEwIVpFjogjTp8Q+QyQS\ndW46j4zt1KzvQOdYrIGZLbOFNAdrHCGwokuek8PA47kA3D+uD61IR2NMG1+c/LQj+deCz/cc+nc+\njMhcsEHTUaavH7Whxb2sgZq06e/X5IDf+0gmbzLhIwUWPh8RTmKE4nAtk+HxPQ9XfcJoW+TAIj6+\nrIOPROF/4jDx/3EExulrnV7WhEfXgWAcAgMHHlbwEaejceNwkSwZn5YhnktEIvgsG6oJq1W5y7LT\nehmHUfsKaxwu0teVHaZ+SIT9rGS+AYpd+Hu9npRKpbn7gd3piXWt6CxAzukvI9hF+PiZkF7is+MY\nH75Lh/s4qYWZOLOi6XQamR/wpQMsvOu0OHw63WYZClR64lie+xs+H0ZE+doY+TDyMXUwxJxeAkat\ndzriW4RznXSljkw4/aadiIhExiDOAt3Z2XF/g4wgR2vc4Xs1Nu6LNMaihW86nc7t0IPv5wgJ+olT\nVnK52TFYGiNkaKXZdVRnYdQ2KCk+/nwYhnPnVOooCTLE8Yntdlum06kUi8VI1iIIAtcv7BRYhlZ0\nZ+lvksYOm/vXinItfJDh9vZ25BzlYrEYCa4QCVuZSh9WjXeVlshhYlBZrMhi7MyGYIxwGCo6Fc7S\nFyn6nKV1rdM0M8PAWtWhdDqdiLA43SMiC9M6aRrZZfAtciaaENxf8YlE0zZs4CyMVuRsyZCjAcao\nn9c3CC2c6+DTpJXxWWlTzKWyw2y32yIic84yl9s/X1DPT1uGRqd414ku8T3sMHEfOBONzUcGcDi0\n5SytCF9H6z6nya8sz1WML+so3mtyrsciMhXQTxwtB9lqpygiZhTFjoSJgpbtOk4TOsrfB0Lgm5+F\nHBkfdtqqVCqRqRrcMw6fdVmkaBWcSztMK8RmRdZpDB9zQGfgYFM2tIVCYc5ZxjHWtJ2nxd4tUsDM\nXae4cH5dt9uNpAeYEARBsJRxYRw+4pAmvrgUCROC+ys+YAS+yWQSwemT4XQ6jZA6dpj4XyZ1WGpi\npeV8EaallwfhUBYZIyY82FKNjTfGIfBpOVgZFiv6Suo0dTqRjWBcNaxFWHFyB+4BGbJz4ftbzoPl\nZ2FLqqecuYBzmUwmXofJdpQdCs7I5KgLesHjcBFOn9ME/lVlyE47DPd3/9L4+Lt8pA6kZzzeX1ML\nWSK1ypksX0S5bnQpskZKViuyLxVkORScbK6dpY4ufRGKZWjXZbXLYPQ5FCvCxMkdIBKM0ceMrJam\noV2Eb5kI8/6OT2NE8UMcxkWkh/W0WCy6eT9NCuLSWuuSOW5xDiUO497eXsQYgbTiXixDGHCfsWVc\nBxFhamw6OllEyHd2diIbkSOyxNZrnB3wRSaW/NKa+hHZlyPfbxmHySlLkBvoH2dBfONwGSeiX1fF\nq++Hz1rZSEuOjI/nn62MpI8UWBjjnOYyGBMV/Vh5aR+ztVKyUApcOEVgNBrNTcb65gwWOc002Dv/\nbhWHAgbPxhb7lLKx9VUp4r4+koCff5j4dIR5f8WnMcKQwGBahkgPVkwbMKkDRugoPuOLMLml5Sj5\n/np+SOOLM7YYg8gIwQBBhtjdKG4O04q+0qwl0OlKjk7Y0HKBCOafu91uBB/uxTpqza37IkzgTHOe\nloMKfLeIrJSS5XMhcU8ej9lsdmHK0iJ52lkmaYyP76frQfj7rJQzV7tqQgBdXZSStX72EdtFLVGE\nyZ2CwWbNnYjYRT/4fzDa4XDoKvaWWRwc5zzXHagaIw/eZRwKDBLwAWOxWHQY2djqVIJuh/jWx4iB\nEpcKsqJonQFhPcXnfITAwop+WBevT4bWGjTGyA4TfcAGtlQqOUIQBPvpPN23FiGwnAn+tmrT0YE1\nB836ydhYdix3Pm3H2hiD9QYXfp82KeB+1AY8LsIEzsFg4LIfnCFgm1oqlWQ6nc6tM/RFXus4kTh8\nGqP2FVZqnUmdLizkTI8OsHwOMy41u2pLvKwEIDHoNBOHEc3lck7ge3t7MhgMXEdppcC1s7MjOzs7\n0uv1nJGyOoTnz+LSUYswoQGPJWj9PXy+HtJ+YEj9ft/hswSWzWZlZ2dHut2uDAYDJ/jxeOzupfHF\nMc8fZ3yrYmSjAh3lU+otjJw5wf1yuZy0223pdrvS7/cdRnYwGiMfkG6l95dtjA8GhaMLjhZx5XI5\n53xACrST1REnZGjhY8OD/7fGoI6kVpEn7AZ+1gQGlZPlcjmipyB3cJx8zic/G6pMO52OszWc4vPJ\n0ZdNSypDNuR6TDBOyBC2lHWU6wm4oA/YBoNBBB/mdqFD/H2+St0kGBkbR4j8fZAhR8xwnKjG12MG\nV6fTkW63a2LkQi/OoqyDMfFpJRDcZDKZSwVwJ+ChRPYNLgaCTt0ikul2u7K9vR1xmjxYLUaFk7gt\no7uKQmtFZnycCsAxO8Ph0OXZmRSw4RaJri/KZrOyubnpDC6ciq4A0/gsQR/i82NkYicikagY+CqV\nioxGI4dRRJwx0hhF9qcYcrmcw9jpdJxTwUDVGNGnvsGaBCPLbzqdzqXHGR+z9fF47Da7t9K3k8lk\nIT4RMWVoYUuKD68sPx0t4rg5PINlcOFMWR/G47F0u105efKkbG9vR5ymXp4BWwPZpSE/C6+lM+Vy\nWarVqvT7fUfsRKK21EdQstmsbG1tRYgPHAoTV/4+LN3Q6e91ok6WJfsK1tFareb6FvqMaNoKrkRm\ncuz1ek5+mqBbegqMPA5XwbjW8V54GM0amPnhYUXEDVSkWy1nubu7K71eT7a2tuaUGAOHGQO+b9Fp\n6qti1MZIszDgw+4tGKhISWIeiFM6wGgp8mg0misL1wbChy8NY7sMPigxXtHYWd4f8AGjSPSkGO1Q\ncO4edomyMHJqEc4SGDc3N2V7e3suCmM91Wky6Oq6xkjjYxkyPjhMZtF4Rj6OCxghQzhM4IsjPToj\nsY6xtf6PMwRaP2u1mtTr9Ui0DIyDwcDJnQkB0u+9Xs85TCbniFCWicDYxqyTKeCMgTbulUrFTYPo\nTAiqT615+Ww267Bph5nP5+fw+UjdqnaUswIaqzUm4DA5kuTxB93W+CaTifR6vUiWAFFmnMPElQTj\nyilZ7gz8rNNOLGjO8cNRYtcTNkK8zm8wGMjW1pa0223TYWrF0uxWFwakaYwsh8J9AYMqsl80oXet\ngEOBoAeDQWSQisjcwElDkdfBJyJOifUcnpbh/QUf/6wNH7PbRRgtPWWHgggMZFBHJj5mu06WgN/H\nRdDVanVuGQUcBs/BaTnmcrmIDDnCtIirzhL45lJXxciv/F06wtRGmue2YAf08pPBYCCbm5uO3LGt\n0UsYEGGmlSHwNe1QoKNw/miI9PlYQ5Eoec3lcrK9vR2RoUUIdEQLnLwyYJ0IEy0ugoYM8X9sS1mG\nPJeMTJAmBagzYIfJFdJWhLksxsQRJjtPy3nB4DJoLuYJgmAusoQiD4dD2dnZWTrCZHabRqpLkwIR\niU1ZMjZ+1e9RmIA5vnVSlknTXevgs+TIBTPsMH9U+Bgnv+qUJfQTDpO3doOsNGa9eXO73V46ZbmI\n2a4SgfkKjHykFQaEtwXDeyYEILPAh1qCOIdpyZBJ67rTBvxZX2RSr9dN3eS0pS4+hPNot9tzKVlr\nEwAdYeo5NZbDoqYLhRinlT6sVqsyGAzm8OliFyvT44swfWn1Uqk0l3ZOY56WSbpPjrrgE+9BCnSm\nDrL0RZggPfhOHhfAqIndorbSxgW+33FqRqdkwd7RCSji0eXgXOGGeUxswbZoDpMNUVopS405LgLD\nfBAEjt+ByelF8dlsVrrdrsPY7/fnWJ/O9Wt8687xJcEHI4vfIQXJzvJHjU9HX9ziHAqWywALIhB2\nnLrSGxitlKzP+LExWmee3cLni6BRxAQZQkcHg8EcIYBss9ms2x4QMoxLyeI7fYZoHYOLe7C+6AgT\nzy2yv+E99BZjE3LF0pPRaOS2mOMITO8oowMCXdy0TvTFsuQoWs/xwREMh8M5csMVvyxLEFfLYVop\nZy4QY4zrzmFqWfL3IcKs1WqOWEMGsClckczTIvh7u91eGGFCfogwoUvsK1gevrZyhMkdgGalZNER\nYHdIU8JpctoSHQDDNZlMnIJgkPL38CBldstCXlbQzPbi/s83twAGy3MKGJgwnnrZQjabdQYZ/4dC\nEauKDA4Mv1/F2KaJD/Oe9yd8izD6SIFOWYrsV1cCY7/fd8+uI+lFGDUBQZ8yxnUzIXjFe04d/v/s\nvXm4ZFV5Lv7Wrto1nxrPOQ3SNNA0dINhBoPMCCgBhMcBRaOJuTfRq9HkGiEah0QkCA0oXjUmikN8\n/MVcNcPNYBBlEFBGZ1FppkaGnvsMNVedc6p+fxzfdb791dq7xsYhZz3PfqrOULv2u95vfdP61lqa\nQ2Bl7MnirSAOqaA1PmkoZX9qZTtq0Y+OvGSfyjlMLrOgrpEcymVOemkUU3o68pLfZ5NVbUzGYVAk\n7nA43BVh8ixVWR9BnSMzRjJdSadHR862/pQyY6tKHZeekSlgGWFmMhlPURo5lMuc+D0Mvuj8BTms\nNtsUj8cNtkGDq6ENpk7rSZKlIpKVW3KOBIDnIeWg5d9c1zUdzE13c7kc0pk0vp76OqqNKkLbQvif\nqf+JC9dciEfLj+LNd78Z67PrEQqF8IbfegNesekVA6dK/KJpXd01MTHRlV8nkdL75N/4d2KmcnMc\nxygB4rstcxtqrRpC20L4w4k/xEuf91KUFkt437feh/JCGW208YnzPoFDC4c+5/ioeLSyJ3+98GUy\nGaQmUvjK0ldQ3l5GaE8Ibz3qrTh33bl4xz3vwN7mXiAEPFN+BiftfxI+c8Fn+sLHZ5T4JGY/OaUC\n0nOVOq0oOZRRDzG6rmswTmQnVjh8NoQ/Sv8RLnneJXi09Cje98D7EA1HsSG/AR8996MjK1uJUXOo\nnVNtFG0VsrIgLxwOW/GlM2l8Y+Iby/i2r8joI+VH8FcP/hXikTiOmjwK15517dApPZ1qBFb0Auf3\nWLTF75DzlPp7ZZTCCEvjo54pFovI5XO4I3MHSs0SYttieN+a92G/2H7Y1tiGd935LoSdMI6YPAIf\nPufDA3MooyaJj31OjExXUpfys+TRxp+so+BURCy2vCMQOSwUCsjmsvhm9puotCqIPRvD+6bfh+e5\nzzMyf9UDV+Gw/GF4w1FvGEpGbfjkvKnkkA6B1CXkUTsEMoqmrBIXdc3i4qLBeGvqVpQqJcS2xvCB\nyQ9gyp3Cz2Z/hisfuBIRJ4JYOIZPvPgTmE5N7zuDSfDmRsKKJ5NJ481IYykHK/9mm8ylYqMQs9ND\noRByuRyeyj2FXDSHK9ZdgVguhrf95G14+fNfji3PbsEbj3oj3nT0m7pC7WFxsdFbobLlAmg+rxRi\nerHS+7QpI3qo0WjUzJnkcjk8U3gGuWgOlx94OeL5OP7kp3+CS4++FH91z1/hFYe/ApdsuAT37bgP\nj889jsMmD9vn+PgZOQckvWv+vV982WwWjyYeRT6Wx5WbrkQ8F8fvfut3ceFhF+Jvz/1bhMNhVBYr\neMW/vwKbz9481EAF7OszZRSdSqU8qRtpLGV1sM0pIG5ipJzSqXu2+CyybhaXH3g5ksUk3vbQ2/Dq\nY1+Nj9/zcVxx0hU49+Bz8Zbb3oJbn7oVF2y4YCiMlCtilek1eu8y/ablkw6pHCPsA2kwJT4AyOVy\neLrwNHLu8hiM5+N420/ehkuPvhR/eftf4upTr8ZJ+5+E6797Pf7l0X/BZc+/bCQOpbxqGWUGSo9B\nrvfWDiv5k1krKlz+PRQKoVAoYHd+N2LRGK46+Cpsi27Dpx7/FD6z/jO49t5r8e7ffjdOPfBU/Pld\nf46bt96MSzZeMpRTIA0lmzTe0nGVekSPQ2KUelYW9DH657aAhUIBM5MziEVjeMeB78DO+E588rFP\n4pTDTsFcaw5vv/3t2Dq/FRuLG4eKoP2cgU6n45lTZAQtZU4aS9d1PXZEcizl1nVdo2uSySQAoFAo\nYFduF6JuFH+9/q+xPbYdn9jyCXx+/edx1YNX4drTr8Xzp56PL/z0C/jodz+Kq8+8et8aTDbtueuK\nSEni4xOPY1tqGxaxiFaqhQOfOhBr9641HdtsN3Hv+nsRwkr0ul99PxxXPg7hcBi5XA4Hpg9EoVBA\nKpVCJBGB6ywriJ/O/RRby1tx69O3Yn1uPa4961pknMw4IHYpW4lRzpE8knwETx/8NBpLDbSSLax9\nai3W7hH4Ok3ceeCdXfiOmT8GjuMgl8thXXIdivni8k79CReus5w2+e7u7+Ko6aNw2Vcvw0HZg4wx\nGVcqKAifNJZ71u7B9vR2dMIdNFNNHPzMwThw5kDzf+1wG99a9y1zX4SA/ev749jSsSbCPDV3KoqT\nRSSTSURiEbhh16zBchwH1993Pd547Bv78vr8mq24Qs6fSIzSWD6SfATPHPwMGu1lDg948gAcsOcA\nADAc3n3g3Z7n2q++H46eOxqO4yCfz+OgxEGYLEwinU7DjbsG3zFrjsH8wjzC4TCqC1XEIrGhnDri\nkwZBG0x5rJU0llviW/DUuqfQWGqgmWxi7ZNrvWNQ4aOMHls61ozBdcl1KBZXZDQaXk6x7ajtwMlr\nT4bjODj5eSfja09+Da896rVj41BHmEzBcQxyvnbn/jvx7PpnsRBawEJqAWt/voyRTnmj3cB96+/z\n1TPFYhEbcxtxfuF8pNNpzDXnkE/kEY/H8dDeh3DautMQDofxkvUvwTef/iZedsTLBsZli6BtGOVW\nfuRxS2ILnl73tJHRtT9fiwP2HGDkuB1p476DvPjW1NZ49MzGiY0oFJf16MziDPLxPFzXRbPZxJ+/\n4M9xx9N3mPE4iIxKZ47Gjg6zxkenTlejt1ot7Np/F549dJnDVqqFdU+tMxwuLi5iyVnCPYfcY8UY\nDodRKBSwMbsR5xfPX8bYmkEunoPrurjpJTdhTWrNclYCbSTcRF8yOlaDSUVEJcSOkl67G3LRcTvY\neP9GLEws4OHjHzaDtdPpILQYwplbz/TMj7iuCzez/D6Xy6GQKyCfzSMUD+HKn16Jy4+/HNFoFCft\nfxLecPQbcOyaY3Hjd27EdQ9c15fX0C9GaVAo4My5m+UGiy7akTaO/O6RqCfr2HL8FqzdsxbAsrKN\nLERwxhNneOZ6iM91XWSzWRRzRRSyBYTiIXzgZx/AFcdfgVgshqfLT2MyNYl/e+W/4fr7r8f/+c7/\nwXtPe+9ziq/RaCASjqDjdrDpu5uwmFnET4/5qRHkpaUluIsuXvT0i7ox5pfxZbNZFDIFFCeK6EQ7\nuPyBy/Gek9+DaDSKUCiEmcYMvvXMt3DDOTeMtWRfY5ROnZzfchddtN02Nt27CfVEHY+d9JhHRp1F\nB6c9fpqVw0gkglwuh2KuiGK2aGT0ihOWOTy8eDguv+NyfOS7H0E2lsWZB505tMEEuueObOOQxT6G\nv8XIiowm6thywhaPwYwsRHDqY6d66gRc10V0IroyBrMFFLNFOAlnGd/xVyAej+OQ7CF4cNeDOO3A\n0/D1J7+O+mJ9YA5tGRD+TuNjRMh5LxYOOh0HbbeNQ799KJayS3j0xEeNQVlaWoK74OLMrWd68UWj\niOaXfy4UCsjlcsjn8vibZ/8G3977bXzynE8iFosBgJHVTDyDcqs8UsqZGPg7iVFmeaTTShk94r4j\n0Eg2sOWELR58oWYIpz56ahc+N7uiR3O5HHLZHP5ux9/h3tl78YmzPgHXdbG+sB6Hhg7FHc/cYTIQ\nw2YIJD4aUVmEk0wmzd/1sp8wwmi7bY+tOGDPASbaDnfCOP3x0z3LCaPRKNzcsjHO5/PL+iaTxcef\n+Ti+vffb+NS5n0IkEsHzMs9DKBTC/dvux2d+9Bnc/Kqbx2swbULMJiNMaSwjkYhnzouDNVPPLKdw\nF1x0HG9+utlp4p6D7/F4NofgEJwdPtszB9aINvBXP/srvH7j63HpEZciHo/j4o0XIxfPIRQK4ZLD\nL8Gf3/Hn+yQlK+dTHMfxKqNGBLlmDpFIBIlmwuCT3rsHX9jBwe2DcWboTCQSCWNQmvEmrtpyFV6/\n8fV45RGvRDweRzFRxEs3vhSRSAQXHnYhPvCtDzxn+Dz7dHYiSFfTy5PmzQjazkpKc2lpCe1IG3cf\neLfBF3bCOASH4NzouQZfJpNBNVLFOx54B/7omD/Ca456DYBlWfqPn/4HXnXkqxCJjO7PSawSo5wr\n1xjdhms4TC4kDT5ibHaauGf9PQg7K0UtB7UPwhk4A/F43KSdm/Emrnr4Kvzept/Dq458FWKxGP7i\nzr/A7b97OzZNbsInv/dJ/MU3/wIfefFHhjIoOrr0G4cAPMsp3PoyPtd1gRbQcbyRTqPdwPfXf9/D\n30Htg3CWc5YZg9lsFo1YA1f+7Er8/qbfx6VHLo/BT17wSVxx+xW44YEbcOqBp6LULI0UQUt8gHd+\nj793XdekYc3OPgsRpCvLRYfRRhRtx3v0WLPTxL0H3wsn/Ivt/Zww1ofW47zYeQYjcV590NVYjC3i\n0q9fivM2neepr6gv1ZGL5wbGaBuDun4jHo97uJXVzZFGBLnGsozGm3G0Q2q9cGgBPzj8B0bmqWde\nFHkRkskkMpmM0aXvP+j9WIov4bV3vBYvPuLFSEQSy88RGjy69MMoo045h0ldEw6Hu4qyaCvC4TAi\nrQg6jnf+uYUW7j383i49Q4zkMJPJ4APrPoCl+BJefeurcc5h5yARSeCft/wzPvzAh/FPL/8nFJPF\nvjCNPcLUHoQkuVarIdKMILy4PKkMwYMJ3xccnP7E6aZkPJ1Oe95nMhm0k2385SN/ifce/16ce+i5\nZv3XpV++FB8+98M4Yf8TcNezd+H4/Y8fiyATIzEBK0IdDoe9G3YvRhBu/+KcwrZXYIjvhY+80GDS\nOLPZLNqJNq58/Eq859j34LzDzjPl+qceeCpu+/lteM1vvQb3brtuSfooAAAgAElEQVQXz596/nOK\nr16vL28/thCG03ZWOAx500ruwnKE6Ycvk8lgIbaAy39wOa4+5Wqcv+l8870AcOfTd+Ldp757LAPV\nD6OU03A47DmlxF10Ee4syzPay/ikcXIWHLxwi5dD+T6bzaKT7ODKx6/Ee497r+EwFouhmCyikCog\nEolgbXYt7t9+/8DpLr/3chzKWoBQKOTBF1mMINz5xeHTSyuZBFPQ1HHwgp+9wJT7kz9elNH3P/Z+\nvPf49+LFh73YLAa/9alb8cWXfxG5eA7/+5b/jfMPPX9op07PXwIrcqnnwuQ5mLFYDE7bQagjnBAh\no+12G+GFMM7YegYmJiZWrvTK+0wmg/sb96O8u4y3rX0bQvEQIk4EyXgSx+93PO7bfh9OX3c6vr71\n6zj74LNHLmqSnydGXXXNdDM55Bhst9sefJ1OB6F2CCf+5ESDhZf8+Tut76A8U8Zb1r7F4Iu5MUTC\nK9vmMcIMCpiCsEl8JkMjeJNOnlz2E4/HEWlE4Cz84tShUAcdrEwPtdtthJZCOHnLyQaT5I6vDzYf\nRHlPGW894K1ADAg7YcSiMXzl4a/gsz/8LL522deQi+c8KfKgNhaDCXSvs7GVJsvQnnNbupNlgQ8/\nI5eSuK6Lf9jxD6guVXHTlpvw2cc+i0gkgv949X/gYy/5GN7+jbcjGo5iTWoN/ub8vxk5FaQx8pl8\nMYaCDyiVxOj+Yqn6l3Z/CZXFCj796Kfx2Sc+C9d1cfNrb8Z1516HN331TfjU9z+FbCyLz1/8+ece\nn+Mg5IQQaodWOBS37QdfJBLB55/+PCqLFXzsRx/D3/50udDnPy/7T0TDUTw68yjW59ePpISCMEol\nJJcqmYpYJ4QQxLIGhDwD3g+jlNEv7/4yKosV3PTITcscRlzc8vpb8KmLPoXX/utrEXEiiIaj+LsL\n/m5sKecgfHoMSny2PrSleiU+yuhNW27CZx9fwXd48XCc9/+dh6SbxFkHn4XzN5w/NBY9RyvxaRm1\nLYPg/y/fwHtf+Sr1jJwGOjt7Nm547Aa8/vbXAw5w/TnXIxFN4PrzrsebvvomtJZaOGLyCLzyiFeO\nzKHuby1XQXoGgJnHszlU8l5yCuGM7Bn46M8/ij/81h+i43RwzZnXIO7GPX3f1Y9D4PJzfKSuIUbb\nMo9QKIQOOl0YbeOQ9yCHZ2bPxEe2fgRvuPMNQAjYfNZmRCNRXHHbFViXXYfX/L/XACHgtLWn4d2n\nvLsnnlAnQMPs3LnTA9yvyUWkchH7wsIC9uzZY73K5bLHg5HvE4mE8Raklyu9I+05cW6hV4vH456f\nd+3a1RdGuVMKsdHj2717t+fas2cPdu/e7Vl+IDG6rtuFS+Jj2pLphFwuZyq//CIMNhmp/XfABwB7\n9uwZCKPEJzHu2rXL8yoxapwao3xPbHzllUqlzDNqpS2bTkXv3r17LPgkd3xldaK+IpGIJ/qSHrzk\nT74Oi69UKvlikopazqVrrDt37sSOHTvMK69SqeRxGuQrU5PZbNbgkvrFhl3qmSAuwuGw52cpo374\ngJW5dF7EWKvVrPK5a9cuXw5d1/WMNzkdYovIJiYmkEgkDLYgDsl1L3waI+eapXxKW2HTNZQPmwHn\nGk7ikq9BHGqj2w9GwJMUXW2rbbWtttW22labXwuMMFfbalttq221rbbVttxWI8zVttpW22pbbaut\nj7ZqMFfbalttq221rbY+2qrBXG2rbbWtttW22vpoqwZzta221bbaVttq66MFrsPcu3ev79/6Lffe\ntWsXdu7c6XndtWsX5ufnPWtxZMk+y731IlSWPduuaDTqWack16HJZ52envbgsJVD29Ye6XJvXtVq\n1WDjRYyLi4uetUb9LElIJpMGE98nk8nlhbxirZK8gvD5cdirnL1ffLK/5Vovvdid16D4uKMK29TU\nVBeWSqVixaibH8ZardZVrs+LHMpyfa734lmF+vLDzqOTpHzyvcQ4MTExND4eiccdU4hPluzLpSVy\nSQLlgusuU6kUksmkwcn3tlL9TCaDZDJplXe9tVo6nfY8d61W68Ii/5/v5U4w8kzWZrNpXW6xe/du\nlEolXz3DDdyJTXIol6zJKx6Pm3vIV72mlcszgji06RnuyKRxVqtVzxiUY3Fpacm6bMZ1Xc8Yk69y\naZBcHsQjGW0yEYSvXq+PzOGuXbuwY8eOLn1TKpU8uOR6TXn2sn61LX3K5XJIJBJdS3AkTjbbUsXV\nCDOgrRYQr7Z90ca5UcFvavvvNPZ+U7H+JuIa204/XPypT8Tm6eXy1ARuTyWbVCLyCB55L55RyHvy\nPuMmRm9Vxd/JEwP4XPKSz6Qx6ohc30NuHMD9XIltXwiexjgMPrkdnt7ay4+/fvH57ULjh0V/1u//\nbBi1nGqc8nm4a0koFPL8v75XkIyOss1YUJ/IMWiTMT0W5XF6EiPf2/DZ7mPjcFSZHZRDzZ9Nz8i9\ndYHe49DGod4T1aYrRm1+HPrhkzzKzej9xqHUob14HAXbIByyz4MwEp88c9cPn832BG1S0C/OkQ6Q\nZuPuDfV63ewFyPezs7OYm5tDqVRCuVw2J4A3Go2uNAlfeW+9e321WjVpIHmeHTcplgJtSyMMi09j\nrNVq5rVSqWBmZgbz8/Mol8uoVCoGn0zJylQQdzrR+Gq1mjksVh6MasM0Kj6NMQjf7OysFZ/fLjiR\nSMTs+Sh3DBoE3yjNT1n34pByWqlUUK1WDYe21BT38JQnSFBG5RmN3KZLnisq26BYgwyRxEdsmkOJ\nr16vm4OG9bNwM2x5sEC9Xke1WjVnLcpNwuXJKONs2qljX9dqNVSrVYOR/FFOq9WqwWjbTSwUChmF\nqg8XqFar5tgwyWEymTTyGg6HPcZyGJm1GVt5nifxVatVlMtlo0uJT45DOQUlp0ZkClRySN4lh61W\nyzMFITdeH5fhlGd5Sny1Ws3gI4ccozzb1HbJKUDiq9Vq5sQljlV5bCFPmhkG31hOK9EkVyoVMyht\ngsxOkPl/SRI9As7J1Ot1VCqVrhPkuYEvjadfG4dRoeBRAVUqFZTLZZRKJY9TQINSr9eN0tQ4w+Gw\nZ6BSiOPxOJrNpseYJBIJz/E4NqMybCQmmzxLUOPTxkQOVImLOG344vH4wPjG7fQMw6E0mLKvHcfp\nGqixWAyxWMzIJwcqD+316/9xOQnyiKsgfFLhSoMpm8YXj8fNSSDSGZDnbmoPXu7zOWpjdLG4uGj0\nTLlcNtfs7GyXU0BjaptvJD7t0MViMY+ylRjp6ElMjDLH1drttnkeYiyVSpifnzeOuU3PyDljaTTl\n6R+xWMwc98VzKiORiDmoWhpMubWf3uZv2Ma+Ioe1Ws3IY7lctjqt0mAG4Ws0GohGowaj3NidDgEP\njCdGNgZp/RwSMNYIUwoyidWKSHaCTYjp+UkFXq1WjTKSg5WdYDu1nAQNMlh7OQXSeM/PzxtHwKZs\ntUGRl+M4nshSEs2ojcaE3rzNgIzToMjohPiIkThLpVKXZ+uHTypbDlKeXtMPPhvWQRSTbR/MIA75\nXsupdMbkvYix2Wx68PGUCRpLKqJeTt0wzc8h4JghLonT5hDY+isUCq2cDyrOxeRJL1IJEV+vtPOo\nxkVGJ7VaDeVy2cindggkRq1neEUiEYNPnqfICEQe4txoNMxBx/Ie446odfAhdeigmR6ewtN1bqvr\nAoCHw4mJCWMwpYHcFw6B5lDi006dDK5sxVvyQAAe7kAe5dm36XTacKjH4iD6c2CD6aeINMmS4CCD\naRNm6TXIqigKMr0+DtagecxxGBN6RdqgSK9WKyNpUPgcMjpptVqe0zv4vt1uG0GmEPcyKMOm9eSr\njuYZWc7OzhoPVysiPb/H98RH/iTOQfBpDgeNpPUGy0Ec0pPXHAYZlGaz6Vu1TEWbyWSsBkViG5Y/\n/V5HmFS25FAaE5mSlZGhvJ/kTr6GQiGjaIlP38eGU74O06ScSoO5d+9ej1MgI2gaTNtlO9FFnqrD\nCsyJiQkjCzLCpKxrjMNiYxRNXSpllNGlzenRRlwaFL+N58khq561MZH3GqfBlBEmgyty6OfU6Wyk\nxGjjkHLKbEEqlUK1WjUVuTKrQnz9YhwqwtSKSEYn0ivau3evZ6BqryHIAGiPQh7dQmWUzWY93rtf\nccQ4DIotApuZmcHevXs9qSGpjPyKfqQw6xJ8AIbkXC5n9Wp5j1EiTD8Oma4kvpmZmS58NodA47Sl\nUPrFN44IWqcGe3EopxJsBkXehz/bltQQZyKRQDqdRr1eN06d7HfZV/r9IBjla9A4lClajU8WREjn\n02/eKBwOG0VLfLaU7Lga+0amZGV0IvWMdgoajYa5R5Cuka9Sx6TTaaNs5dw7U5rjxtuPLg3KZGms\nNj0ql++l02nkcjnDI40JP0+cozbJoTzsm/h4KgkdV7/gSj4bACsuZgdk9JzL5TxOwbD4BjKY2rOV\ng0xGmNJrkMKrvYZeylF/Hwt86NnWarXACHNYZSvx8b0tOpHKlpcUZF2h5/ds8pXHKlGIe6Ush8Gl\nMQZFX0H4+p07HhSf7p9B8Q2CkRxyvkteTMlKQ8L38hn1M7uu68HYKyU7CE6/6BlYyfTILAGjE/LH\nIgu+96t85pyOVLp8H41GMTExgXw+j3q9bualbfOXg+LrhV2n8+bn5z16Rl6U037kSqfb6RDkcjlz\nH6lstbEcB0abLrU5PdSnQeNQO2N6LMpxSMeCBpP4pF7lGB21ydoUbSs0f3yuZrMZeE+bnuE6Yh4f\n6MfhoCsRBjaYJFUOLqZPZZUZvVmtMMLh8PKJ6I53cwH5s21piq1EWHeanyEZhGitNIhVVplJjJVK\nxQgbvRXOz9HI2zwgiUm/2tJ3tjkYiXtYDomTqTzNoR8+nivq5+ENgk969+MwnL0w2jhkukYXe1BR\n6OcD0IXJrxy+nzYoh1o+O52OSanL6l9mBoiP45ApRxndy/7mvYlFvjIq1cstbMZyUHz8rIzI+TuJ\nTRbElEol1Go1a0Gg1Cs6GyD1jLxszkMQtmEw2rIWnU6nCyMdn0ql4slWyCgK6D6QmVGTXHYRtCRF\n82jTr/3wJps2uACMftF2glWxdL4AL4d+l15+MwzGQZy7gQ2mfEA+FHdsYOQoO0QvIeBrp9MxRRLy\nNRqNGg9LLk+hsHB+wbaTyDiiMKbuNE7pFEihlmk7x3EQi8WMUyBPOCdG9gHvI19l+bTfJPc4Ikyb\ncrdhs+GLRqMenLaCAuKzYdTzRb14HKb1wmjjkEacDgGxyt1F5FxsKBTyyIS8JD5i8mvDYNQGjJfE\nJsegjCRDoZDh0HXdrt1TJD7ejzg5ziUu/fzjSE/KNXpS2elMh3xPx5rOTiKRMAVYcuzJ94uLi56x\nx/cLCwtdHNIAjeKM2zBqLmUGQF9az0gZtY1Dx3Gs8illVI67cTYbf0tLS77YyKGfrZBz6PJiil7L\nquRQYxzUGZBtYIOpIwaG134KV6avCDIej3u2NeKSA75vNpueebNyuWy+36ZstTHh9+lQvR98dAq0\n1xlkUNj4TNFoFADMpLO8EokEHMcx3jHxMSqzzRfZjInGOCg+yV8QhzZ83DKKFWiSw3g8bvBJjKHQ\n8iJjmyKS2Pyw7iuMvPg9VELsX1YwExvfO47j8Y7L5TIcx/GsidNYeE/5qt/3i0961by0bEqDye/h\nM7FSkhyyCp3vyaGc9yyXy11LGCS2USJL2fT4I06bMaHhtOkZAGY+2TYWW62WZ26ecgqgyzG3jbtR\nxqFfdKu5k+lzNj4T5ZQc6kvLaKVSMVHZIE7doM1PPhcXF30NZrVa9ciP5lBjI5/kUMopn0Hj6+W4\n9tMHQ0eY9Ojkol+bd8tiHXpB9Gij0ahn7035notYZ2ZmjKfB79J7CQZFmOyIQZpUtHLXD5uSpUHx\n2+NV7k9JjOl0Go7jmIIarheiUfYzKEGGZNCUsx8+m0NQq9UC8WnuUqkUwuGwmRtkNLO0tIR6vW5N\nj9nwyTZODv2cHr1/Ld8nEgnrXrHESA6piAbx3kfhkHNdfjKq5yr7xUeZteFjFBvElR/OQZxWGhO9\nP7U2knK+i3pGRiFSz+i9YrlUhJXgND5U7L10zDg4pB4lRu7drB0Czsf20jMaYzgcNnqUGSGu8+Rn\nNbZxpJyJjzUDxCbxSQ75O8mhXh1h27PZxqHjOB4OB3UKxpaSlfMlVEZyk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pJgv2USMm+u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\nOlmgJ0wdHR0dHZ0s+C8s/qaOtHr+gwAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig, axes = plt.subplots(8, 8, figsize=(8, 8))\n",
+ "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
+ "\n",
+ "for i, ax in enumerate(axes.flat):\n",
+ " pca = PCA(i + 1).fit(X)\n",
+ " im = pca.inverse_transform(pca.transform(X[20:21]))\n",
+ "\n",
+ " ax.imshow(im.reshape((8, 8)), cmap='binary')\n",
+ " ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n",
+ " transform=ax.transAxes, color='green')\n",
+ " ax.set_xticks([])\n",
+ " ax.set_yticks([])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's take another look at this by using IPython's ``interact`` functionality to view the reconstruction of several images at once:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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CFKJtp6IUm5kZRuvpvTOezKIidGQ1e5MobiexWG2nZtavrKxgZWUFS0tLyGaz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\nzR/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5KK1WK7a2ttL/MR+euRtCDKmHOhzFE59Vg7kMcGGsbDDLEObOzk50Op3Y3d2N/f39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s3V95aeyERMst/vzxyJpa/kR7Tbb008tOczF+V3e3t7My396t4HekZjwzkvM6dL9f+cDXNd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\nQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
}
],
- "metadata": {}
+ "source": [
+ "from IPython.html.widgets import interact\n",
+ "\n",
+ "def plot_digits(n_components):\n",
+ " fig = plt.figure(figsize=(8, 8))\n",
+ " plt.subplot(1, 1, 1, frameon=False, xticks=[], yticks=[])\n",
+ " nside = 10\n",
+ " \n",
+ " pca = PCA(n_components).fit(X)\n",
+ " Xproj = pca.inverse_transform(pca.transform(X[:nside ** 2]))\n",
+ " Xproj = np.reshape(Xproj, (nside, nside, 8, 8))\n",
+ " total_var = pca.explained_variance_ratio_.sum()\n",
+ " \n",
+ " im = np.vstack([np.hstack([Xproj[i, j] for j in range(nside)])\n",
+ " for i in range(nside)])\n",
+ " plt.imshow(im)\n",
+ " plt.grid(False)\n",
+ " plt.title(\"n = {0}, variance = {1:.2f}\".format(n_components, total_var),\n",
+ " size=18)\n",
+ " plt.clim(0, 16)\n",
+ " \n",
+ "interact(plot_digits, n_components=[1, 64], nside=[1, 8]);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Other Dimensionality Reducting Routines\n",
+ "\n",
+ "Note that scikit-learn contains many other unsupervised dimensionality reduction routines: some you might wish to try are\n",
+ "Other dimensionality reduction techniques which are useful to know about:\n",
+ "\n",
+ "- [sklearn.decomposition.PCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.PCA.html): \n",
+ " Principal Component Analysis\n",
+ "- [sklearn.decomposition.RandomizedPCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.RandomizedPCA.html):\n",
+ " extremely fast approximate PCA implementation based on a randomized algorithm\n",
+ "- [sklearn.decomposition.SparsePCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.SparsePCA.html):\n",
+ " PCA variant including L1 penalty for sparsity\n",
+ "- [sklearn.decomposition.FastICA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.FastICA.html):\n",
+ " Independent Component Analysis\n",
+ "- [sklearn.decomposition.NMF](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.NMF.html):\n",
+ " non-negative matrix factorization\n",
+ "- [sklearn.manifold.LocallyLinearEmbedding](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html):\n",
+ " nonlinear manifold learning technique based on local neighborhood geometry\n",
+ "- [sklearn.manifold.IsoMap](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.Isomap.html):\n",
+ " nonlinear manifold learning technique based on a sparse graph algorithm\n",
+ " \n",
+ "Each of these has its own strengths & weaknesses, and areas of application. You can read about them on the [scikit-learn website](http://sklearn.org)."
+ ]
}
- ]
-}
\ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/04.2-Clustering-KMeans.ipynb b/notebooks/04.2-Clustering-KMeans.ipynb
index 4e95761..0a26e30 100644
--- a/notebooks/04.2-Clustering-KMeans.ipynb
+++ b/notebooks/04.2-Clustering-KMeans.ipynb
@@ -1,564 +1,619 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:cc8ef9506decedb9f178e4c29a49e8eee231bef74c21d579bb5830f76f27ff5b"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Clustering: K-Means In-Depth"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here we'll explore **K Means Clustering**, which is an unsupervised clustering technique.\n",
- "\n",
- "We'll start with our standard set of initial imports"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "from scipy import stats\n",
- "\n",
- "# use seaborn plotting defaults\n",
- "import seaborn as sns; sns.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Introducing K-Means"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "K Means is an algorithm for **unsupervised clustering**: that is, finding clusters in data based on the data attributes alone (not the labels).\n",
- "\n",
- "K Means is a relatively easy-to-understand algorithm. It searches for cluster centers which are the mean of the points within them, such that every point is closest to the cluster center it is assigned to.\n",
- "\n",
- "Let's look at how KMeans operates on the simple clusters we looked at previously. To emphasize that this is unsupervised, we'll not plot the colors of the clusters:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets.samples_generator import make_blobs\n",
- "X, y = make_blobs(n_samples=300, centers=4,\n",
- " random_state=0, cluster_std=0.60)\n",
- "plt.scatter(X[:, 0], X[:, 1], s=50);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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YwKc+NYiysjJqaibR3r6F3bsrbMscen9E8kEBWCQL8tVn59T67hmVTPdtbqfD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\nwMSmAAAAAElFTkSuQmCC\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "By eye, it is relatively easy to pick out the four clusters. If you were to perform an exhaustive search for the different segmentations of the data, however, the search space would be exponential in the number of points. Fortunately, there is a well-known *Expectation Maximization (EM)* procedure which scikit-learn implements, so that KMeans can be solved relatively quickly."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cluster import KMeans\n",
- "est = KMeans(4) # 4 clusters\n",
- "est.fit(X)\n",
- "y_kmeans = est.predict(X)\n",
- "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='rainbow');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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m4CGm9xvYZH1bg0/HjvzuNkzc02g0vDz9IUwmE2VlBpydXRodfRAEoflEAL6L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\n38o+Qyf1Z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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The algorithm identifies the four clusters of points in a manner very similar to what we would do by eye!"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## The K-Means Algorithm: Expectation Maximization\n",
- "\n",
- "K-Means is an example of an algorithm which uses an *Expectation-Maximization* approach to arrive at the solution.\n",
- "*Expectation-Maximization* is a two-step approach which works as follows:\n",
- "\n",
- "1. Guess some cluster centers\n",
- "2. Repeat until converged\n",
- " A. Assign points to the nearest cluster center\n",
- " B. Set the cluster centers to the mean \n",
- " \n",
- "Let's quickly visualize this process:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from fig_code import plot_kmeans_interactive\n",
- "plot_kmeans_interactive();"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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k5+fh4tKu3NEHQRAqTgTgWmTJV9tI+bQvfuYbadtTW2FeauK9y1/y4bqnqjRs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\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This algorithm will (often) converge to the optimal cluster centers."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### KMeans Caveats\n",
- "\n",
- "The convergence of this algorithm is not guaranteed; for that reason, scikit-learn by default uses a large number of random initializations and finds the best results.\n",
- "\n",
- "Also, the number of clusters must be set beforehand... there are other clustering algorithms for which this requirement may be lifted."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Application of KMeans to Digits\n",
- "\n",
- "For a closer-to-real-world example, let's again take a look at the digits data. Here we'll use KMeans to automatically cluster the data in 64 dimensions, and then look at the cluster centers to see what the algorithm has found."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import load_digits\n",
- "digits = load_digits()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 5
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "est = KMeans(n_clusters=10)\n",
- "clusters = est.fit_predict(digits.data)\n",
- "est.cluster_centers_.shape"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 6,
- "text": [
- "(10, 64)"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We see ten clusters in 64 dimensions. Let's visualize each of these cluster centers to see what they represent:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "fig = plt.figure(figsize=(8, 3))\n",
- "for i in range(10):\n",
- " ax = fig.add_subplot(2, 5, 1 + i, xticks=[], yticks=[])\n",
- " ax.imshow(est.cluster_centers_[i].reshape((8, 8)), cmap=plt.cm.binary)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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skq8JoCwxSwVL6PwSB+XqeZYAM40Nu5g1g1ZENMvd1bas6AFeMzYFSL4fDnWd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\nwxdMVzDgAAAAAElFTkSuQmCC\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We see that *even without the labels*, KMeans is able to find clusters whose means are recognizable digits (with apologies to the number 8)!\n",
- "\n",
- "The cluster labels are permuted; let's fix this:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from scipy.stats import mode\n",
- "\n",
- "labels = np.zeros_like(clusters)\n",
- "for i in range(10):\n",
- " mask = (clusters == i)\n",
- " labels[mask] = mode(digits.target[mask])[0]"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 8
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "For good measure, let's use our PCA visualization and look at the true cluster labels and K-means cluster labels:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.decomposition import PCA\n",
- "\n",
- "X = PCA(2).fit_transform(digits.data)\n",
- "\n",
- "kwargs = dict(cmap = plt.cm.get_cmap('rainbow', 10),\n",
- " edgecolor='none', alpha=0.6)\n",
- "fig, ax = plt.subplots(1, 2, figsize=(8, 4))\n",
- "ax[0].scatter(X[:, 0], X[:, 1], c=labels, **kwargs)\n",
- "ax[0].set_title('learned cluster labels')\n",
- "\n",
- "ax[1].scatter(X[:, 0], X[:, 1], c=digits.target, **kwargs)\n",
- "ax[1].set_title('true labels');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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cWjAxl1qHYJW05RJjznXJVLW6XXe5HH7EhG51rktYdlvM5i+miCvQv8mhOlYr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\nfckx1IZhrExCCN7ppHjATmBz7R5xGzeeyw7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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Just for kicks, let's see how accurate our K-Means classifier is **with no label information:**"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.metrics import accuracy_score\n",
- "accuracy_score(digits.target, labels)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 10,
- "text": [
- "0.79410127991096269"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "80% \u2013 not bad! Let's check-out the confusion matrix for this:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.metrics import confusion_matrix\n",
- "print(confusion_matrix(digits.target, labels))\n",
- "\n",
- "plt.imshow(confusion_matrix(digits.target, labels),\n",
- " cmap='Blues', interpolation='nearest')\n",
- "plt.colorbar()\n",
- "plt.grid(False)\n",
- "plt.ylabel('true')\n",
- "plt.xlabel('predicted');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "[[177 0 0 0 1 0 0 0 0 0]\n",
- " [ 0 55 24 1 0 1 2 0 99 0]\n",
- " [ 1 2 148 13 0 0 0 3 8 2]\n",
- " [ 0 0 0 154 0 2 0 7 7 13]\n",
- " [ 0 5 0 0 164 0 0 8 4 0]\n",
- " [ 0 0 0 1 2 136 1 0 0 42]\n",
- " [ 1 1 0 0 0 0 177 0 2 0]\n",
- " [ 0 0 0 0 0 0 0 177 2 0]\n",
- " [ 0 5 3 2 0 4 2 5 100 53]\n",
- " [ 0 20 0 6 0 6 0 7 2 139]]\n"
- ]
- },
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Again, this is an 80% classification accuracy for an **entirely unsupervised estimator** which knew nothing about the labels."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example: KMeans for Color Compression\n",
- "\n",
- "One interesting application of clustering is in color image compression. For example, imagine you have an image with millions of colors. In most images, a large number of the colors will be unused, and conversely a large number of pixels will have similar or identical colors.\n",
- "\n",
- "Scikit-learn has a number of images that you can play with, accessed through the datasets module. For example:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import load_sample_image\n",
- "china = load_sample_image(\"china.jpg\")\n",
- "plt.imshow(china)\n",
- "plt.grid(False);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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V+dM6ANEs9CyRvafOoCnxNU8iH3Gr10HT9wJvfCYCYlYyPsgvVRazfkGYpPsu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\nz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8kI0gN8JhqsKypQRIm+F6RDCa7eh83lURgVadMvy2VOgY3HH8Yg3TOy3SU59/jWKJ2O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7xyHGdjGit91k9v8PZrr/PEk5cp8owoVgxGA6bzGcIIhLFYk7O+scSdoxGd1PHwpad565Xv\nwGJKaapRuywdRTald2YNLwUn0xmD0YwzWxfZ2Nrg4OCY0lhiUeK8Z229z+nzZ3nvzfdphG3OnT3F\nq69/l+3tu2SLjHPrWxwND3jv3dvfvyb+f1Jp/2+8ffjBe1w49yRlscfewctoeUI7aXC2fRonJ+Rh\nn9NbTVbaZ0kTxWAqOD7YwUczCj1BzJs8/6nPoCLN/slNzj3UJJttcGMw4PqtDzDSMBov4cKU7rpk\neXMZJxynNvqsLXU42jvmw7c/ZJFZLl6+zFL/FGFrBS+nXHr0Mremt3DWU072Wem0QCekyx2WuimR\nhh0Zk9oRl576YaLOOgf5jP3FMQeDQ1Z6MdtHE9Y7HeI0ZW88I+wtMdOOvFjw6muvcXS0T5lNSJoB\ngXU8srXBxfUe4kc+gYhUtRerGbNeSAIVVLsoZx8UQmcrkoCwnlBWt1ttLKWr9sPOU43NfBV8rqgs\nIcJBaUzluazpOZXxRFUK1Rrib52udkJKVbd6WwliKkGLeFDgwzCqb/GWMFA0mylBWB2cjXaCshDg\n6Ldb2NmC5SjGC0ewOae9JMmvdLjyU+sEGNqJIQkjsIJG1CLPS6JWwm+kXYI0oe0kpahG+YlTTPI5\nkchJrOdq3OCzIkA5hcsKlNcU5QxXOsZH1YuKxQSX5wjjKaYLbD7njcmQUMaUpWVmZgT5gsjOmGQF\nXhuyaQaqOvw9npNxicsynLboco4MYobjBUGU4o1BmxwrHCoUtFQtzoliRLNBYTOM1qRJRCdOGO/d\nISgXyMb/ydx7xFiapel5zzG/vTZuxA0f6ctmuTbTU9PT7BmOBXoGQ0ACuKCROBuKgqCtNgKk2RCC\nRAMIErQUIMiAAkUCsyAxnOnpHja62lV3VXVlmfQ2IsNff+9vzzlanBvZLU3vmwEkUBGoyMwbGfF/\n57zf+z5vhI1TL61WIVU+w8YRmSiZ2Jo0biCDgKwEQUUSKhIpMbMZSVGTNpqosiBWGmcDYmpENSBN\nekydo9R6GbPzTVMy8PvikABjJLFq4FxI2kqZ1zkoi6kqAgSnw6m/DUk/GJQUuJlbuowv0IgCnHdK\n7y8OCbSi3W5z++4dn+O1/vvGOpjOZ74C0FqUkMxGQ6QUPq+rNUni1xRO+NuV0AHK+Y5eoSRhHKG1\nJEQjBaRJTBgGFHnAykqXk6Nj9i7vMp1OKMuSfr/P6ekZYRywtX2Jo6NTqtrQ661ycnpEs9FkvlhQ\nFRatLcPhDCsEVW0pbI3QEeArTAMdYIynWnmQh0RKjRO152tnJUop9JLBPMymzApN7fzePVExucl8\nnheHM4ZQaMb1EKEcRpQ4aTAYlAqobe0bHp13LFvnsLVF6wiBZxhoDUhf92qsQdoCpXw9pLMOUxUo\noQFJGgXePV6VBEqhA98jba1DKbX8mV6a4hDLfTAoLuhc/vBS1/XS+g6j0YA4Tv1BJooRwscrlwWL\nnJwe0W43CWTIfDYlW2ScHh5x4+WXuPX97xEeD7k3ekRHj3nl8gaPnj0lDNuk2mLm5ySNJqPxhJW9\nNtvX9rj72V3i/ir/3f/43/Olm6/z8U9+gHIVdRywdXWXd994h1aowVbUecHxyTlBGqEjQxAYNq9c\nJp/mHB9OkDImDSSPHz4gbbc4Pj0nTlI2tjbRxjI6fs7aao/nJ0eEcRslA97/4DOu7l1H6QjqArAE\nEeTVgqfPHtHrdyC3VNmQQJbs7a0zm8z4/PYtojAiCZNfOBN/acN4e2eds8MHpN0pW+spj6t9Hjy6\nT4sG6zsR/V6b+XCCnFr2NjdpVm3mRnDteko1GaNzAU4RNywbUcrk6JStzXe4dfSY54MhvfY2v/M7\nf8Dh8Cmrqyc8Hz9lNnyGTDXtjiCIMppRxutXrqBSj1F85Uu7XH5pB+Ei+q0+AxtgF5LNvZjT8pQH\nnz+n9c5b1OU6C7XC+prj1kffJgxC+t2Yu3qA0Fd5+HjIxOZMp2PM2SFFXhLLiNKUvPXmGyTtkM8O\n7vHJnU+oblcUZU5bR1D6k7JwjlAoDJYgDqmdF9OquiYMQpIkIYoi315jLJEOiQK/SzZLX2sQRMyn\nU6IwIm2kGCmIlMJJgZCSJIoorMH6qzKmqpA6JApiX7DuaowpqGczRHCR/1QkUYAyilCHXtKyDrPI\nUYG/GS4WFvIF0gk6rRZHBxN0HJMNBvxHf/SHzHe6BIXFB2gW6IMMczBGuAqbOk51iakKzGyMWMxR\nFqqqJi9GlGWFWFSUJSxKh5nNUElBrWvSpVltrGF8OKEdesPOuIRGY43z0yGjvKIZSkQcYqOYYp4R\nhYK2DCgaMYM8Y0sohChI0yaVlFhhSIAAh4oTno9mpEmbwE5QUYDqpMwk6FAROYNwijjuk2NxVYkS\nEhnGuEDjhCNc7uhFoJk5g+jEtKIm51VF3O0xOj4lCAKyTEDtKPIcXVtiU+NsgQwEkYgRxrtV5yWg\nIwojyCto6ph5MUNHCQurkY0uZ8WAzEG3mdB0kq5qMqkkM2cxQUqpI6ROOJ/USLkg6bTJnCGSAcIY\nWs1o+aB2lGVNGEQo7R/cF5lVJTXW+K5uJaWXPwNNd33dNw9VjiDwUvZ8kVHXBq0UVVVikcRJRDtJ\nKMoCayFutJbO6IAgCMjzHCH8bdkZQ1X7WkYkFEVNWQpMXTMaQRiHnA2OvILkHNP5EKTnQWf5nLLK\nCKMUh8E5S2+lS54taK+skGU53biJCDQnZ2c448hr76w2xnnKXhDgnOc7CyF8nafwAA4lPUnLajDO\n0ei2cbZitdMhLyu0kjQqiXSG3a1Nnj55Sm9llW6nzacP7/muZ4zn1FMRaEm9rC+8iE7VzmNlhQOt\nJIuyRCtJVddYQEd+VRVI/zNgTI1QgmYz5fLuNoG4wH96lU0pTRBIf8OXenn792qB71UXLA3XS5a3\n52PXxnB6ekqvt0oQeIeXvz2LJRvcu9e73a7PepeGXq/Hj29/QHOlw08//Amb16+gDoesbrW5/8HH\nvPraV3n6+BE3v/brPLv9KZc2N7j79CFZbfj4s085Oh4wnUwY3fmc88WI0ekz3nzlZR7cu0VUJrxy\n5Svsbm3yL/cfc+PyHl/5yq/wze9+h6Kumc+nXNlYx5qS4Tjj/oMRN27e5ODRc5KNHje//CYffPdH\nyMijVNutJk8ezwnOzijzGqEDEIbd3V1uvHSVR/cfoGRKPizRUtFutSirIY3Y8fpbr1CWM+aTEXk+\nZ6XXoLm5yvnJ+TIb/tfffmnD+MNbf0V+PiaKaq68sUsQRKys9nHnlt3eDoPJMWnQohG3ELWglcRU\nSjPOTwhCx0tvbnM+PuGnP/2UL799mUubWwzKY84Gx6yvXafbvUydz4l6IYuww9msohfG3Hz1Naaj\nMbiatW5MPT5nMs7o9fcYj04oxmOyxZR2MOOLV9tUlwWNdsXZ44yW6TA/m3PpegKE3L7zGU+f3WZ3\nY5Nchpw8d7zx7q8wfm5pBylHxRCZlay7gHmVUeK48+lPUe2YYTbndDRgPhsRhGLJC66oQ4l0EKqA\nQEvU3O9mvATkT99SLQEEdb2MYRikKX01Gw4rfDm6EpJm2gSsf4AVOZHSGCn9rb82yCDEIQiUorKG\naum4VEoQRQHz2QwlJMJa0ihGK+kjABqqosTWvraxNsY7tJ1n1TYbKVZYyjpDK0eiNHZ+ykqsEaMJ\nVsHQ5XTSNrPjARNTY8oQhSBQNaHLWF+NqE2GCEKCJIL5gqAZkTqNdpZqTVMgcHlNM4wpsRTGsrO3\ni7NTrKhwKmW8KFl9ZY09rVgsJhilqIOQuhSEQcSoygmigJVKUbiS1GgGRU0daayCRVHSUjHTfM6s\nqRnOzuiyoJguSHobVLpJlU3pRCHGOGZ5RtRtUZcj4jBhUc2QqkkSKGQx8/EYG3pcYSRw5ER5QXuR\nemd8lVG7gjRQpOUEEYVUdYZUCltodOqlxKyak7uStL9CljmskOTWIZOUjAyaKVXtaJLQUQGnT485\ntwF/eutTCjvmxle+yNu/8Q3GpQdutDYVorZYZ4lVQqQCn++VHlhhaosOQ0xtvFnQVgipllKwwNXL\nhl4DQRiipCSvS6xxCO1JVQpFGGqC0A9aW0uSJFkqNI4wbJDlJVp5BGQYBOAcjXZruc90yyyv8sSt\nonwBofBRK6/yGFv5woZlqYMOFEoLsmxGnEYU+YI8hzjSHB3uowPNdDrGOciLEhGEXoo1FnXhuxDW\nO7rdsh/YegpXFGmk8z+vQvqmp4tuZlNXdOKY+ekZYRyTVTnNKMHZkseP7qODiLPzUybTIWkckRnn\naVrLGFdd10RaYwyUZfniABMG0bJX2u9ja+O8YiZ817HWilA4XJmhhaXVatLrtImlwpUlAu/4B4dQ\nfgyEYYgUgvl8RrPZ9IcN6yh/Trb2fdDLA5hS9Pv9ZWezV86c+lnO2P//fr3mrCBQmsl0SpKmHB4e\nsdpr8+WvfJmXd2/w2Uc/JRAxP/nxh7R6Pa7sXObH//47PLx7m4KM0lmUirl/7wEraZvp6RnNlSZJ\n2kZEIavrO9jZnM9+8AM++Pa30QEkzYjb9z5nOBqzd/U6GxtbmNkZ0+mcdqdL1Gzy6OkJNs8ZHJ3w\nn/zxu2wna/zZt/6C0+kpg6Pn9K/sQpkRByGTWYHUAddv3OD48Dl7W1s455jNbrMoc46Ojnj11R36\n3ZTxcMCDozH7B6c0ei3KqkSlmjiAxeQ/sGjTZ3d/QtOE/Mav/S7b61dZnBieDe+RFoLTJ89588u7\nfP7pA/KiYl4e0+g1ODk7pa40m702Ip1yfnxMd6dJtsgphgvWXulws9hip/erHNeO2eQ2c1Ow/7Tk\n7F7F1o1dbr13iI5DhjJAFCl7/T1cGFHGCdaURM0O+8efspYW9Jo9ng4XPDg45fPPRvz+ja+xu9Mk\nq55QDEestDP63RYrm1e8hLq2wXw6IQ4U0yyiko6mE1xv9Ih21jieDagnEwbWUAbePVxJCdZSu4si\nd4EWEhEGvuhcK/KiQGiF1X7X5DORAhkHSCGZT6fESoGWKK097F4qX24fevqO0AoVNaicQwcCV1tC\nQozzDlWLQMllbEEIhJJYLXE2wGmFMBbCECd8bGQBGCGWESlHjSSKIszSwW2rAlvmBNKxqEvqMGZa\n1EQtTXe7wbSc0442uba2y63F91ltCRjPieKEqNHAVjHNdsJoMcRGEY4mJ2XJmk6ohaCKBciQx6MR\n7UZKnhXQCpnklunijCTyhe9xWFPUc/LhgjRSVNkMGUZYFSLymkrlNGTAbDxCOMVKHGILD3pZzAuI\nBGtJiqwmNJOYx/cPud7ZoIvDpSGzoubp0QF7qz1MXaHDFGFr6rJCipAqM0Rxk0kOSdrCuQCpawoc\n07IgCDT5YkyQtllkhrIW2DhkFkU0ZcAiaFFTUzpDKGNwEbldFoRIhQwSBJpes0VplK9GLMZMsykH\np3PyOiKOUoJEoBsRGQ2eigQthmwYx7P9c7Z3b5LPM38Ai6GoCgrnqPOSMNFIF6GlprIlxXhCmEQ4\n4VDO+eYgJ8D5AgklPBlLK4cKFGEQU9QVzoklqcobmJTQWFsjQ02eTQmTxO9Ga0Ov6TP2lamZzxe0\nWy2qOkMY77IOtGI8HpKmKZGW1KYmSVPKskDrCGMtjtSTr/hZgYNdMpstvLhlCtciCgKm8xlRlCxd\n0op5XpAfL4gDRShChJIYW4LzjGep1HJ36nfHdVYhnaPMS6zwKyOUAqU4n02RKqCsJVKkDMcLoljS\naLSZL0qEURTzEqMkpZPUVYmW0vs6pMQphRaapeWZNEipqpIoCOk0m0wmYyrnaydVoHFO0I4i1toR\nripY2Vjl0ZN96ixiWtc04pgoSjC2YDge0Vvvo1TA+eAMiSCJE6bTKXEQvjBUCwdCeUNW7SwsOeBS\nSkIdUNc1OlDLdYZ4gQStrUELtfyYB3EcHx2zsdbnbHbOvU8+5+h0xltXX2P0fEj4SgeqjKPH+2z0\n+rz/6B7ttRbSWlStePWVmyyyGWqimI5njBpzOt0t4mCFn/z5txA6x7kCEQfMiozT4RlZXnB8OGBj\ns4+tI6pyzmxWUpaCtBOTuQVOGb7//g+oHp6xmM4pnUEYwyCfcrnbIcocnWaDew8e0UpStC24e/sW\nOEGRLVjkU6KmpswKZk7SDNs8fHBIe7UPSNJE02k12exscnI4/oUz8ZdG4Hrv3//VnyipeOuLX+Uv\n3/u/aDXHbHQl1y41SftN3NgQtlc4OX/MpUqhd9a5e3ROr4p5dDAgWokpzzJC5bCqQZYVbPTX6KeX\nqZtXOLSGZ/c+oF0ZPv7RZ7x58zr7BwNOT04ZTiWX/sbv8+mffcQ7X/s9no9z7jz5mEvrLcbjU/ra\n8dLeZX50NmPy8AjdbKFiRbO5TWVjRtWCEI0Qc7pRwjd++w+wwQ778y7DOYwnE0ZFiSkdFIaz6Zjj\n4TmjyYRJVVFWhiAJuP3ZB4R5TlQ7VOQjIh5N54ilRrn6BetXS42pjW9LWzbZBJGkLnKEM0TaR4vy\nqiQQAaKwaATtNPbRE6G8a1U7Ylegg4hFVpFGkT+ExCHOOqJAU5Y5UaiWvbI1wvkbpMPfei/oRXXp\nIxN1VSFxaCFoJjHCWNIwRNQVqdIIU5EmIa20yW4/oS4KRmdDeittrFO4xTmrriJxgkBZpvMhjXaD\npopgNmUttuyfjlhRCidHWCNZqWoGqmRbQKcuiaSkGS04Pxmyth4SlxENocnKCUfnC26sdsEJpAwI\nyTmYF2w2GogoQiYNJvOMyXhIu9WkVoI4XGFq/MM3FC2mMsLEDRJrWZQ5z3VCFkQIG1AlCVMCnowW\n5DKkCJugLa4SzGWLmdCkcYCxHhSS2RgZKNbXGshc0tIBQgRE3S6TUhIGDdQy49vb2EYmEXWVEugO\nrYZkNW6z5gJctmC2yJgNKkSRcP/JIY+mMybOIZMGmZYEvV2C1U2SrR10b4UoXsMWKafnx/QvvcIP\nfvQBSgheunKVOdBOW/wf/9v/ymw65PU338JWhkgI8vmMQCmSZuJdgM4bgJQMkIAONSpQJGnqe7al\nYDIZESXeGBULQS2LURYAACAASURBVCdNScOAuqhIoibPnjxnPl7gjCEJI5Io9lz2wkemwigkiUPS\nOCQKPeUsCDRSCZrNBkJLrIKiytFSEmrl0wHC+dy8qxEYQi3B1cShIo4CQiUIcARSEAUaiaGRxoRa\nEClBqB3OFSxmU4QznhEtQQmBVhKt5NII6fP0OEMgJVEUoqRXmSItSbQgVA4ZChqRJqJmpR3TacVo\nLQkCRZQEBFFA0IhRShPqACkcjTSm1+0Qa990FccRURR7GdwagkDRTGI6ScJ6r0OkBNiaVhqw1gxZ\nTRWtKETpgOlwAqFGhgHr/VWCwA/28XjE5vYWWkoU0IwbNJKEOIp8aYeSIH37lLAXCFC3bPNSHm26\nxLV6LKlEa28elSxJYcpT2rTVSGeAmrKY8c1v/jn9L9zk+voeH733fRb1jB/8+Z8xKuc8f/CImphG\nq0kSRszLiubqGokJ6V+7yuVL13njjS9wvH/E5uVdYhmQFobbT+4Qr7VZW+kyno6RxjI+H2IrQxLH\nNBoNglbMzuVrnBwvuLH3OomKQNeEOiQKQv7iu39F1EwwZUlhDHEcEsQlwkYomlza2+DVV/d4fPAx\npZkwPp0S6oggaJIkMd21DpPxgEYUECURR2cDwiSm2ery9PCYmpKiqPn7f/xf/DUC1y9tGP+Tf/aP\n/2R4NqK2GTde2WQwfMpqaw9ZB8zGY5JCM1OCo8cn/Nrrb3GuGtz/+JDVRkp3q8MiG5CKNdY2bnB0\nOmcyntBpd3n0+IzFQrCxtU1hh1hRsNHt8ezgjJKQlY0OK911dl99nenBGVsvXcdIS9TUaCJG0zFB\nUNKMGuwPC0JT0G41UE6jpSbqvkzGOj/54N/x6d0PsaVlMMkoXEQdxOhAIWxBrQNUVWOw1MqLaFlV\n4qQkcpopNQ8fP2R2eEwgBC7QlHVNaWocEq1CFmVNUftat9IZKusd035nBaYCJQJMaTG1pXISJxSh\njn10yQkMggCFqEFZQSh8xaH/QZLkpkZIhbICI72j0hiHwEMVlAqoaus/XtUe7WYttcPjAa3A4fdV\nTkBde5RckqQeXSgAITFS0uu2WU8dIRVoSyADjCtBTEEaCqspg5BBlhE1muRFgVOaXAkOxgUNFRE5\nDTYmryCPNYWtGKiASrYpZg7tOoyygpEJKAINhSRt7/LcTBkjmeoGNZD2thnkkoERjKxCNdZIW2tU\nTrOoJUjHVCpUs0OcpDgtqLWkrgSikqhQIlxGYgUmVoSmZjPSRMJQ2IQ8L+lGkk6UEqQJs7pExCFh\n2EZFjpVOh9HxAFlnRC7ElZZykRM6RWRyVDYirErWOx1MPWI2yTg/q/jk0T3+7Xt3GNZzTqsFViXo\nqEMVxjS2dtGdFutba0RpSpD0GWUVVjUYjFKePFJMpjUqyti5tgqB5Ps//B5vvvs2O+t9Wjg2Vlt8\n8L332H/8mPXNTXQSkHTbnM4npJ22l22FAK2Qzu+Ivdvfr02EdQRKo5aOYykvagcl58MBKtAg/Uqk\nNDXTxYwsX9DutgmjEKmV3y0v2c5KSUaj0XLf7EsffM7V9xJLKUmiGK3Ui5YhpXxER2vFdDojjmOS\nJKYsS2azmZdwlzK00vLF5wrhpdQg8FARJfVSnrVoLVHSw3GU9MUISjiUsr7UQdQI6YeNUA65/OVR\nlYZAKTAGpSRFnmGdoapLqqrE4cEg1pkXjm1/oy8wpqI2JbWpKMvc78GtwWLIFjOy+YQsX1DbmiDS\nS/a034Uvspz5IievStAaFWh/aJYKrbU/TCn5omGqKEqOj4+J4xiHW1Y6LjuOHdSVh7gYa6hMveQM\n+TWad8ZbrHG+y/miQUv4Yg8p/A49DiPmizmHR8/Z3t1icTigUoKV1S63bn+KNZbJImP3rbf5xt/6\nQzpCEsURr7z1Nq9cvc6nP/mYl268zNe+8XvsrPd59vAhz0+f8/TBfTorHdIkpJjOuPnqazx58ITd\n7T1MBdkiZzQeIkLJf/rH/4DXXrrJWzff5KOfvM90NsRhmc0m/vu4rFntdMmyBWWV04hjQp1yfjog\nTSPu37tFa02wdalPGq+xs76OyCcoV5CXUwpbMi0qkA2KwtBp99jf36e/1mN3c4/JcMbf/+P/gHCY\nZ6MDvvjmr9Jq9kjDDivNCZNRQS+VqELy4OiQeb9JrFaoZZvHT56x6mLa7SYTu6CbpDjZIKsStve+\nyKfD73FwPmQ8O+cr164zHNxh98oaD+4dMM/OGU0Vb/3KFwmTBV2Zcv+DH/O13/46RRrTDHt0gi7z\nk5ytpMn52QNOpmf0V7e4de9jXpIrXLm0xtOnj2ht/zr3Dp5CUDBdlHz//m1K0+Xtr74GoqZ2nuJk\nyxKhPISjNgYVhRydDvjo/Q/4nV/5GvGlVRrdNY4MRLXFau9cdlLhEEzychkPEGgspa2IGwnZfEFD\nhTijkNbfTrT1Cd+ytoRxA2tLjDEIGSyHpqHWkqSRkJczrA3IqAmaLUxeUwtYWEMilSd74W/otfOs\n2qICKR3tVkJZewlWtRpYBDWSrCiRKkDogKoosHVN2XAEScR0ViBNSSg0aaPJ2WxEEGqGNah8yubW\nDkf70ApbDM5mEEpWtl7yoA6pqZzD2JC9G5fYf/SAjoypo4hFWXKpt0U9GpAKKCzM4xRlIqgyeo0m\nWllOJucUZc0OAY2wxcSWnNHm4OkB1zrrJKGnY+XzESenJ7x84wp1VhHjaGpNnZcoHGkEsyKj2WoS\nRSGRy2k0e4zODXtb13n2fJ+kyBH1BK1rdDeB8TnT4ZipjJnZkqTT4un5CcWiIFKC2fAEM5/RSRuU\nCHZffoUf3/qYqBHTX19hc2eH+4sutjL01ra4vLaHzDRn9Sk7165hkaSrfaxTiKhBhsKUC45nY549\nOOB8CI21NirKaK91ePPNddorglbrKp1xBECvv8Zxds54dsrRsyM6219n5maczc75n/7nf867777L\nb/zm77Ld32Y8GJA0EhCCSIXeDHiRl0OSRqF3POMjdkkUgfQQC+MsnV73BT4RK7DCcuX6ZX8Lc87X\nBRkPpPClDp7C1W13XhQwgJ83XiJlubf1f4YTYomLdJ6o5RzdbgetNcYYkiSh2Wz6sgd30dnrlnxq\nidL+0Iq1aCdIIo1zGiGNTzW4nzUzAT/XzuQz/2Bx0v0cLlKhhCB2AikNOg1xpiaItS/n4KLiUaDU\nMg7lHNb4soZA+8NFYPzu3jr3IvdrledcC3MB2LE4JV7AO3IcYRgSImk3U28CXWaolVY+khR6NUwp\nhTUQxzFbW1uEYchsPkdq9cI57Za91LUxnomtBFopLr4ckp9J027pIbDOIJdW+spaBIqytmzuXuPv\n/oN/yOz8gO98/k1+8tmHDKYD2lt93rz6Gu999BFPzo6woWa7u8GHw49ZxKe8++Vf5d3zBbPHx/zj\n//q/4Z/+yX/Lv/mX/zfpts83377zOa1WzBdu3mSl3cPWMB5OaUQxSMnJ6JzpdMQ/+6f/hE7cxc5r\nmmnEaDSi2W1wfnxGkRes99Y5OjhABxHWKo4Pplg7RAnBaAjnwylRN6TREsggYnB4wh/93tc5Oj/g\nWz98n3B1HSMCKltjqKmt4w//8G/RboVIo0l19xfOxF/aMP7qb24Tuikr3W3KwvL8YMp8fIe9L7/J\n+GCC3GxRlI4wjvjo6TGjbMjVvS61KggrTSdq49I+Lg35/O4hMrrKez/6IW/vrmFLi251KPKca1vv\n8Kw8RSWO1dU+k8Uh+08e02h3COOEKQpHwug0YzKWpFFE4RLStS3mpyNsU/Ot737K1orkD77xFqez\nJ3TbM+5+PuLVG+8gLids77xMWSms8C5DpQIwlloKb7AIFfeePGJ4esaHP3yf37zyBqYbceX6Szz7\nwU/RtaEWIETtB3Lg4xLWLr+xpfIRkEmB0iFCaKq6INahPwULi5IRUhgWpSGJGxjnSUfCGjSBl7nL\nmjqraQQxVVUyn85wQiOU9ide54vdtQzJisrDdgRIHVDXFfNFQawVSgcUi5KirD2HFuEXcUagCIii\nCAzkWbnECQZETpFNSzrrCRhLw4RUC0OxP6aziAlNzU4rZZZXzB49ZrXXphUqKieZ1479J49RDlat\nZJ4ZYqVZnJyiZcG6lRRCMsSxyIZ0lCQ9P6cVRbTqVRZ6hUU2piwWVIs5qW3zhuhRLCTZNMdJRVhV\nXE1WqZ6cEyvBSWmR0jKbLZg6Q12WSC1w8ozprCJzilEYMDkds957ykwrZmeCnb0WcyboYU2zluSq\nxSyXRFKh65gaTdjcJIxrwvVV5ic5Z/MB/bWY6OUrrCm4fmOLopjSWe3zyjuvIURJNktwwQrTSRfX\nbjGOVjESDiaO8WxBZmdUNWgH690mK699gfUkRUpBIw6IAmjqgHgR4gYld11JLR1z1SA2ln/+P/wv\nbPe3eO87P+Ds6TP6zZhW0GH/3iPGr59xafsSnW6bxXxGmqYUZUGkA4oi97tZ64eQJ3LJ5TrDP6nl\n8oZsrSd8CbzRaXtrE2trH3HSimK5KxX47/tweWN1zg8MHMubtvXDCwBHVWZ+cEi5bClyWOtlUiGg\nrnzjkFnyqqVwywIiX64QaF+2IJavQQjpXdxVQZrESCW8OdJclCr8XKvR8s23OV0MJJYsaL9S0irw\ng0kuDW74Qa6Xr0FLLwcb4xDGYZZ0PP9HOV+/ID0BS6kl+MR6kKUONYEOls5xi7mAt0hF5Swi8D3n\nCOlrEJeKg3DiRcWiN71ZjFneeuclSitqWy/jTYosy32sLAz9axNQ1KX/fZz4/yAyPZHF/+eLr5UU\nGOdjcEIp2r0+Yjjk+eEhR4/3iTsJG9vrPNs/IFld5e/+nb9Hx4ZUmWPvtVf57NF9uv0+7vpVTFHw\nYPiMf/Sf/0OiQLGy06e3vU1Zl0ymI57sH3H33iNyY8mGQ8qqBq0x1CwWc8q8ZPf6FpVdsL//mCRJ\nGI1mlM5SCRjPp6z01xiOZhS578NeWWmyud2lykp2L2/RSKdc2enTubTFv/nX3+ZP/+236GyusLp9\nlePRAGszYqVJGyGNVszDxw9YX1/h+uXXuPLK679wJv7ShvFkfIgtBrTaLT78yX0qk/Pq9at8+NFj\nNnsdVtbXCXKLLOHcSsb7c5Iv7GKjOdlBwXbvModZRW4X7O5tcz6qea3zFqtKEPV6iN4qx7c+5J3r\nN4hal/js9h2ePnnC6tYGKhzxta9+jQensBCCYmGg7qGTCqnm7F5qMbc5oRuQrOxQNZ/w0e0jXr85\nYMxzTvOC3a3rbG2/QxqvUdaCeaYx0iECRZlbAhxFXqIjzXAw4M5nn3Prpz/FOsdgcM6V+BoPpxmN\npMvWxipHo2PGxxNfxB4EjMZD8qzyKEC8Aas0NVJIJmKKsR4aL6Q/gaYGSucbTbJ5gTEWFfhsclMm\ny9L0mkAKFkIipPGdt9KCtmigChTzWQbCEUXRkrQjKYpiedOA0jikc0ihCISmdg6tA6IwIIki5rMZ\n1jqCIEKjKfKCuphTBoqyyum1ehTDESmCMGqTSI3QbcpqRikrGnGHSK8gUAxnBVYILAGdXLCYjdiv\nT8iJqRdzVKuNEoL9YsZIChZ5RGBrssmMWlqEMFgJM5GgS0dUlkwaLWQoqHWGLQqMFARhjARUZUjT\nBiKMMJ0dVikJ210GtaDRWcdmE5p6wdW1Pg+PpqSdTcaf/JAv31xj0kz4zjdPee3dL7CYH3G522A8\nrSkaOxw9H/PKZsh0XlMHc1zVh2CIjCY00lUePz2nt9YFYbh8ZYed3T7TSUTU6vD4ZMTe3lUK6TiZ\nHZGXFWvdkAd3n9Pq9eitN+lf26AKE4pFRRqGtGIF5ZxEQdJqU7mQrDQ8HZ4yns44P19wKCyN1SYd\nDC/315Cx5v7DB1xa6bEapFTTjOl8ztd+9/cZz0ZkpuC733uPb/z27/Dxxx9z47VXOXi2z872DlXl\nb756CX7wJfNqWSRgUYBC+IObYMlRVti6JFjuXy/QqWI5rOSytEAJ39t74c6tKw/rqKsKpRRVWfD8\n8Dl7ly5dFAUDLHO1lrryMJGL2eB9D2K5+5T+42ZJjVpWPoJdKlzKR2UJqY2lNvghiR/Ynmrnh3O5\nvNH7m7J/PQiBdA6Bwwrr2yOtVxMUwDIeJZe1j7572B/gjTMv4CIX7nEpfYViVVberKn0zxCby05n\ns1wJ+H8Df4gJogCBl+OlvHBEe5YAwnOwxXL4KyExy8iXfw1gnQGxlKCNb7+y1ixd0/bFsPVfF/8a\nnRcosNZinMHflSU1Flcagjji6OCYvPIEs253hcePnnB5bY9BWVJP51BVfH73Lg/diLfeepvpYMhc\nVHzl177IrQ9+yFNnGNQZ9uPPSNst0naD52dDGknM8PiUjf46NYZimX8vq5q6qmkmAffv36fbSOis\nrnDnwRPCIIJIIwJBieV4eE6j0aG1kqJkQhAYnu8fkSYR660Go1HNZ7eecWMr4423rvHnf3WHO5/O\nufml1+j1IDQVJ4Nz8sqRlWPe/fUvc+/ePYbzIc/3z3/hTPylDeNOusvCVHzvB99ivtA0Gl2e7U85\nfDij/XaL0cMDrJZEjT5pf4O1sylhe51J+YiNXm/Zmelzg1o5uiurdNp9IgdZ1ObWR7fZQDE8GjCM\n1+lfusSPv/mXqHiNlbVLfPD5I8r4BnlWEAhfz0YMZSmQusXR6SGvd2PaXGP1akk2L3hyMiHo1Lxy\n4+toG6CiFQoXUy5P+wioSktWGII8RzZCUJL3v/s9Pr11iyCNCNOIb330fapbP2T/yTP+6I/+Ywaz\nc4Rp0rF9Eu1Rf1hBEAm67TYYi6NGaktdGpTQiCCgWrKoJ9MZ5WxOf3ud/YMD2o2ISCkqU5A0U6wV\nECpcbahqByYgdwYnjH84lJYcQ5EXRHFEVdbUZYkx/nZsLSzmntSjhaLIcnQc+b31EqUnlxhCLb0z\n+2RwgsY/jNd7TQhCnk5zHr93FzOrWBQVQuasb/YYny4gl8i4IDcRImpRG4uQ/sEiXEDVkLREgm5Z\n8jylHTd4NIHx/iFv7jXpv7THd7/5U77wpbcJWpqtzQbDxYC4uUIqWygsb6Q5Y5myvwjYiGaspSMq\nHHlVE6iYJEgJopTRPOcg77NVTugkIWcqYVFqGkmXZjCl3xKIQjLtb3PweUg3bFDEEbVKabY3CRNJ\nQYnqSiqZ0NppUegRjXQFFzQosj5CSaSWRI0WJQk//uyY/liysbFOu684HZRcbXa4/ckDqqDJnTvH\nXOv3WF3rsbtzmUgHBJE3Ac0Lw6Sw6EQRhRGltsxVk/P5jPHtKYOzBTUzokbB5s4qr+1u8OuVRqma\n8fFT5LN7XHZzivUIIwumWY1ME964+RpxM+UL77zF9//yW9x8/XV+/MH7ZFlGNp2SZxlPnj3h5PgE\nFYS8dOOGZyRXpTf7WF/zt6z9QeIxmlY4sJUfJEv2tMMnCSQCqYUH2uCRsBe0K4WgFsZjMuMYh3c1\nX7t+Yzn7xIuBdnFvjSIvx1trPQ5TSO/iFgIh1LIswbIcyy/2oEIuVSGpUEsjs1I+t+sPBl5Wvohb\nsaRTmSUidnlHRAmJs7U/zC75zRc4DIk3QvqqRR9dsm5Zyaj0C+KVlD4OJpevScXyRX2iXXLDA6WW\neEu5/LsJpBJIJZf7b7VUKPCrBCGRSmFsTaCVZ4ZbH1mTUmKWQ/ZCwo8iH6USDm/YFBLHcn//c891\nh1sepJYX4+VF+WLoIy++Joasqnj1zTfQ/S5CO5JGk9deeZ2NfpfVRov9j+9xf3bO5at7ICTNMOLP\nvvltjg+fcXZ6TFFmCOEobMZwPiM4j7j20kucnZzwq1/9Go8fPKKqLYuioBE2aLdXGE4XDM4nLAKJ\nEl0KMyddWaMcLrDOYpUlbaXYMueLX/oSeVUSuYiyLnn+/IAwhKOjJySdFuelphEsGJ7XJM1NzrIj\nnj0/5bWrlzl6cIftS5tMFxlVueBf/et/QW1BhQE3Xv7CL5yJv7RhPBuWHB+NSKM+jU5Mq7XG4eE+\nQjb47JPnXN9bx6SOaTVnMtrnV159h3avyfh0SKOZMpscsdLfRpFi5oqHT55SLjqsbF7l2XmO1hFn\nR59TVymdK03OS8dXf+N3MHaVrBwzczWzhSCqYpxwiKiA2qKNoLAJw7MzmjsrbIWXkWEfpTU6bHD1\n0utUssfCOOrMURRTorSNEhZZF8hAE2nJtC7p6SZPn+zz1d/6LZqtJu9///vEccjT2SmycgQ64HQ0\n5M7RM9LVlMpaKgOba5tMS4FZOOJGD+tq0oZEMUZJKEoJMqVyMbWTVGKMNc/p9TqcDY9Y7fdIwwBs\n6UvSVejpPlWOdgmhjLHCUlQzQhkhjKK22VKydlTGF5ILURCFmkXuGI6mdLtd2s2U85NTwkYHGSiy\nPEcKqOo5cexJQ3ktSEmQQlCXC1rdmEuXtjk8HzI6rtjYXiM7HhKtNIl2d1i/JOkGPdYbR8yzFqO6\n4x9U1YwwihieT2nvrBPmhqDzlEm2QSJmlGdt7OmAG3td+le6vNcOuHZtnWbVZGevw/A4pjYpVbRC\nDWz05sSFYBYnbHS7tMIWtYpYFCXGSKRKqJ1GBZYNs0qarZN2utRnp1zaWcVMpxzlMCocJAYXSJK1\nHSZphIqa9Hs5xaTmpAwJtGOxmDBLIiZzx0NTgKupzQxZLlBqgbIZ2WiOE+vYdMZ5bsgOT3j51cus\nr22xs3eFxtoO+8fnPL33OX/vG/8VU/sIayOyVLEQliRzGJ1yOD1jcjxiMZ8RrnTIhCWxhpd2++x0\nFRvtXcrhjNnRAPv0EPJjVhsRm/Mp+WDAH7+6iQ0DPh3N+eHBgrN5SVUWfHb/Np88uUd/ZZ3xBz8i\nkILVlVU+/PCnpO2UOx/e5fJLL/GX3/4mz04O+KNv/CGmtCglf/aUlv62JYTEXuRVxYUcuxxKzi5N\nRDng95cIcC9yzL6pTClFnmc8fPyYlZUevbVVj4lF+iOx8HK2k/5zLm7UUkocjtqZn0nNbqmoCi9T\nu+Vqx3+KbzSyy8ElhDdkAS9uvkL4gSUAxXJ5KtyLAS2E3+te9CE7IWC5U1ZIqC1RlCwrKWuCJb7T\nObeMJ14MVtBiKTG7paFqqTBorV8kHLAOuRx8QoCTfjB65cFgHfhNgWdge5Odr4u0zueiuWBPe5li\nKWv7QeGUxCG8kxqBE8qrCVxM3uWbA5xddiMv5X98aY7y0giBEuQYzkZjZKfB0e27pJsrPH74hNZa\nByksD5494u3f/zrJvOLW7U/Y7rTZW1vlR9/9Dpsba2wFl5BlTX4+RcURf/D13+P/+dN/hZM1o8aI\nbFFR1iXCOaajMUmS0Io7TEdHhFpSFBW60eI/+0f/JQ/ev8WtT2+xqGfs7mzw6PYjXrr6MneePSSq\nHF/+tb9Js9Hhgx9/m1I67DhnODBMckWiOty/e4fV9RX63Q5SxwxmJZycs725jkEgtOPw6BgVSeZ2\n8Qtn4i8Ph3l7RLezxvVLl9h/eJdX1ldoViekV65wOj8lN2Ne2b3CeFIjgz5Cp6DbjEcp37t7j7/5\n9k2ibszT83MO790iqrrUukddR1Bm6KRJ49WrhNUx9fkDpOrQ6L/K88OCWrfJjEUpPzDKqiIWAcJZ\ngjAkEAt6vVWmao2iDOnKgN/60t/GiRmBSDk7WVCmAbZYIIUi1ZqiLpgeHaNXm5wcnLDz8jXuPLrN\nzsYW3/vWt/jau7/GB+//mNe/+CU++PxjGlkGtmJezhmOFiTdDrNaIQvD81v3UEKzvr5LKWMQIbVs\nYNgk0CC1l49tbUiSACMUZ5MTdNJkfecyQdx4UY+20m1j0AgFeZ4RBk1M7dCEiKpJoCTOeXaurSY0\nUliUFSpsUs8GNNoBYlJTVMo7o6VDhCGtxgo60GidE0cK55poUWKto6SBzQIWgcDUIVFtWN/axjQV\niJLLG6tMbUkUgY26pDqm2WjRjOdUImQ9XqXTTKhOj0niiM1el2dZQNptsrfV4GiygpanrNgOD21K\npdsUuund8qvXWCxKzq1iZkLWuluUQZPxvOD9JwGT7Iyot86tpxnFbJOFcBhlscZSZBmOnKqu6XZm\nDEcLrNW0GykPTo6ZDE69pNkImbqMFXtGECd8786CQozJew3+4pNPSdptWm7ORMWMzwYkRhEkDqMt\nQdKgKueUWUUQxNi4YpZpKlPx+t4NdvttHj07pBzOWd29QdJuc3Drcz755GP+z3/xv/M3fvcdrly6\nxsf3P+V0MmU0ygl7XcrEcXm7xfWwR4OAsBlTnz1ncX6Pcjbm8JMhKzh2ZUG/Iwna6wyPToi0orWx\nykon5fzwgF0x5PLbewxGU8b5gMfzgo/PBozbR/S6fVrNFk/OTrFOw7hi9foeP/jsc2yS8ODBEx4/\nfsZWf32Jx/RSp8Mbjy6GqnUOpcSL3C/C34oRIAPNaDBAR77CUIJHbjoDyrcHRUnI1WuXsU4gnUDj\nJVxTGy5aE537/z1wnFvK0Hj5dDk8rPM42Yv3/WD27/ghyvJg6tGPf+33Xb5Jy1LqFT8nLy87n8EP\naSCQ/n1nDEEYUGQFZZnT7nb8bVorkF4hEEJ4k9bS0ObZGv42bpzzpQzOD9CLZraLXfZF1EhID+EQ\nwpPBxFLWtuBbsYT9OU3AZ4RhufKVP1v8KgdmeQgQ0mM5geURRLxwsgtjlqUxvslJLBUI3P/L3JtG\nyXWfZ36//93r1t5VvW9AY18IEAQIkhAXcRMlyyatlZKP5S1yRuPEzsRjjzOOE8saJzmTky9xcuI5\nzlhejp3YkqWRZK0kRVIkRYILQGLfGw303tW1V919yYdb1d2g9HmUOqdONVDVVf97q899/u/zPu/z\ngCcigigkpWoEvk8xn2d0YpTVq5fRto/zqYc/xN/+xZeZ2DuGGwZ8/LOf5tuv/JD1xSVaK8t89dIZ\nnn74Mb7/+svce+wYcU3nxo1rqKGPX/d4++olnvnQRzl/+XziAeDdRo8lNE+hZXvEUoCGS1bS8BSJ\nyImRsyrvxY6n1gAAIABJREFUvHaSut/lgXuPsX/fbn74zusMTfg8973n2HnsLlBi8rkc28ansGsH\nmK/epmk1ECLC9WVSQqI4kKXWbJFttdENQa6YwnUCoq5Mo1snlVP4xY88RscXpEvFn/o39DMbbfqz\n//1LX4zxcNwmmixhSLB7+wx7D3yQim2zVqmhBknsnp6KacXV5MsMfYZyRfaPDBLnHV748WWkZsTx\nffsRao5YyQKCTEpHjiKE10KLdCYnJmh1QkBHS6WJQp+UCBDCRjNkVBEjxwGyAooEo4MZbC/G6ibj\nNH4AkgxS0CbUIkQeTp88ieSFXLt1nfxAjlPvvMWuQwd46+RJLN/iypXLrC4vszy/wMWr10gPlml0\nu2RlhXIUUTBVQsPA7ni4rRaB5xIGEdl0lpSRxg8ivDDA8Rxq3Qa1doNmp0Wj1aLerNO1OjSbDWy7\ni6KrOH6I40e0uhaNjoXrRzS7Ps2uT7Vr03EiWnaE5Qd0XLCjiE7g0QxjWjG0Qotu2KUdQidQcWwf\nx/OwPRlJySHpKplCHqGkiEgjlDS2J6HqRSIMYlKgZrCFhqpl6QYhNRy6zRYnTpzg9blZmi2FWDJo\nuAHtjoOtpFElg/GxSVRJoSuVsfQydT/GVXWWwoglVSUIJNqeQ7u2ymo7pNpcZ92WMLIZTDONSwo3\nSON0IxYqTa7fWqJW6zC/VOHa2jKLnQardou2E7Neq7NUrzDfvknLW8MXFrXuKo1uhW7QxApbtLod\nlGwWT1OoeHVqkoWbUWhEASKVx1Gg4cdIsaDZlvCQSA2VaQqBq3hkhwZxJRVhaEyNjGBogsFsnsni\nAMWhAXZs28b09m0Mjo8yuXMbgxNTyJFEo1tFK5cxwxRnz52h7XdYuj6PVW/SbHfwwxhHFYQRTI5M\nMVYqc3B6nJ05k3FkZKeF1+3gd1uoizfRWnUGQp9tusK0qVEQENsOrWaLXD6FaoCCT+ha6JrMUDqN\n2qxTkHxGMyqHBsvsV3NkfY+c5CM6FRZmFzl/fZlm1GX99mUKcUz1doWxsXEef/xxPNtCU9Weoj/p\nwyYpYHEy66mqOI6bWC9uAbe+oCqdyWxQtKI3ctSnmCVI5n6FhKaqqIpMFAUEod8vsQmiJNLzJ24x\nxFG0oYxO/kv0sET0KuZe5R7HG5+fbCLiXq/1TvFW36ayv873rzt5357ivAesgoTyFiSuWSkztTEG\nhCw2KG+591rR2xRsfX96QQ2ylBhxJDS0tNkf72UWiz6o99akCOmOuxQLZJLZ6Y3X9T63h8+Jq57o\njar1dABxki+10ScWiVH3ZmUtiY03kHqbqliSUDSF2PdJqyr1yhqrfpe7jt/L9NAkI2OTbN8+w9ju\nbUxu20lW1tk1PU13bZ32agXJVLh85RLRYIGPP/HzvPX9l7ClANu2CVIpPvevfhttrUu90+bK+ctE\nYchyt4UUCmJd5cCBu9g+NUUmnSUMY37zD/41naV13nvrFA898UGs1TXmbtxgtbrO4bsOEQk4dPcR\nEBKR47G2uITn+2hmmpXKMhIyThiR1lM4joOs6TiejyzF+K6F1bVwbZ/11RVSZkTLXic/PERpdIqH\nDz/4/5/RppQpyJdSpDIKUiBQshIrzTVm3zlFy5MZHTsA3jzN7gLZwRlkbRSrVUQREYHSYb1pYQxl\nyItBhF+lVFIxZEGtZaOIGGG45LQSzaU56s0lhsNd+JaFKqsISUbL+BRNk0gYREKm07SxbIdSoUxa\nFXiuhFIsEJs+dqVF0FXRMimyxRJq7FOLPC6dPInYcxBGi7zwve/SjFz+419+GYKQhYUFbM8HSUHR\nDXLFQYQmE3TbTKZySF6AkksRFvOES6uEtkusy5ipNGEEZiqFQMLyAqJeOEQQSoQyaLqKIsD3bMLI\nTSz4bB0lNmm0Gyi6iaRIWGGIiAVBFCUXRAGKEuN0LDQVAtdCFi6qnsELLNTYpRN2iWWdAFCiCEOX\n8LyIMHZJmTLV+XWCIEKIDpKkgaSz2rFxbRtNkhFxRKwFZGIVJY5RZI8nDt/HqKfx6099ln//l1+h\nEGYZKKVxQoumF9D2bX585jw4LWKjRCA16TTX0QIPM58nEgqyb2HLAboRYwdVgnYbLaPRDiwayz5B\npZUIhOwu+sAAjaaHsHy2jQ5S69QJZJ9cuoCh5eg6Vcq5UbqLbVKKji4LHMsniHxGRicIo5g4dhgp\n56hWKwyXcwwOlQFBIVMklc2j5xUKWoFSCnw5ixZZSIqBrisUzZB2x8N2QfJi1hpN6LQpDRS4tXgb\nu2PTdNax2z5+JLHSqjC3bHH/9hm6vk47iPnxK6+R1nXOnbtAEPpkMhmaXpsfPPcDPvihx5gpl2mv\nLNPy2ixfPc9APoVbXSVf73KgYNDurBB7GoqZ4/b8bQb37aFeWaac1dElCSGlqVVWGC1lKRoGsqJR\nb7WJdAVRHoBIwu5axG6T4YzHQC4mY4bUFmocvfsAF0p7ePHWZbaFMQPpAYoHj2BduoFTryKryWSB\npCSXdVnIxMQ0m02uX7/O9u3bN/u7PRoW6OUI9yquKNoYSZIRxFFCc0uShO/5SJJEvVbD9wJKQ0Oo\nuoFhpmg0GkiSmkQwEr9P9SwApQdw8QYox3cAd0yC6v2qeNMKkp6j18a7vU9R3U8z2gD6nlBtY/pL\nTujpkMTrWurN+IZRInqLwk0RmyCpbvs92fcDPdHWdW15lHpzvfLma2MpaVaLKLGslKRNH+n+9xAG\nUfI2/Q3EljO20fuN4p7n9OYMcf9s9MeaJJF4C4ieRWkcA1Iv5QmJiIiUBCPFAs/dnKWTh8ePHKEc\np7GJmdmxCz8OIAQNUBSVjz3zDJffOY2z3uD06dP8yv/yx5Qmxjmy7xCztUVeWFliemKKgw/cR70J\nka6Q0lK8eepNJvbtYrADthJTbzZ55lOfYFxK881Xf8iTP/8L3De5j2/949f4yl/+HdsHSqyur5Kd\nGOaYaRBFHt/5+td4+lOf5Ltf+SeW5xcZmpzig489hqwKzl2+gJFScXyb0PeRZRVDN4kDhSAQyLKC\nJ0ukczm8bpeG4WJ26jxYKv1UTPyZgfHMnnEs28e2AjqNLoHX4e4ju5g9d5psYYyxob0cnDjM7Nx5\nBsaKpAo7qXYzSMoAN2Zf5rm33mS/cg+SbGDmBDduXWDq7vtRgohULOHHDt2OjJoew293qXUDNDNF\nGEioevIH54U2nu2iajrprIasKzh+HcXI47g2MgFZQ0LNpyCl03Zd/IZEPXB55e0fI2dMri3Noywt\nYQd+IjCJfQw/RBcRWSNFaWIMXzNoWy5OvQ2yoBtYDJaHaccxdcuHdBo5kkDXkCStF/fmE8ohkqZj\n6iq+4xDLECFQJInA89E0Ey/QElWnGdGxHYSmE8syasrA9zzCOEaVZaIwwDRNLMsmnU6hKgY2LqYx\ngOuBosaIWCZSEsMFKZBAE3SjRKGtaAp1p42uqwSyD76fuHThEkQRcioiEhGaqkAs6HQcopROEAlW\nNZl3ww7r6x5j20eoNlpE9QBVDcin8zhuiBAGSlpCSesIJAbSGVQpJkBF8iXy8gCGApYkkQ1lSmMm\njueRGQoYyRVod1tIImY4N0A1sMgOmgxlioRdC2OohJ4rJBFxhExlh3E8n+F0FiOMMRWN9C4dM2Ni\nBz5tq4NjJHTi+PAABU3FqjUJ/ZioWWHNW6QT2hQGZ1irXaXTDch6FpGikJU0ykMjzK0t41kuoVDo\nKhp64LJnbBTb9dB1HUVTUbQUKcOgZA5QHuiyo5jDvVanvVgnk83QrHUwTY1dpRK257NY7/DEE49S\nvXEFff4ycrNCIZdmGpCvLGIqEYYUYDWrmIqKWS7QjXz27p9mZXWelGFgGRk6rouhqQzoJTR82lab\nKBYEQk3aQX6HobSJH8msNupYmoYpJJxmRLewj7ddwZnZKxRig6GBEguL12nOX+TJR55A1WWCOMIN\nPBRFRYkERCEBEblcjkwmk3hS3+F3DMlfdlI99sEnDPqB9gmoR/0ZVilREguR5BmLOGKtskqj1WTb\n9DRRHGz4JcdxvAmfW6pdQnpUa19q1QegRE0dx32A2TJXLDZ/3nrb6LGSCLgURUHTkqjHKEpMUvrP\nCwFqTzgmRHKXpSS0QZY2NwZ9oEQkdHTidiYSi1whkZhjiZ7wDCIR99TcgLy50Qh7impZTsxUPNcj\n6OeaxzFK/x1i0VM8i41jF3HyGVGc9MujKN7YQMlCpl8Wx32RVu9MyyTRismZjza+g4iIMAgQATz/\n3e/w6msvk7n/AEtLi+QHt+ELgeSDIUCNQtrrVW6vLjI+OMh8ZQmHkKNHj3P51beZf+M8o/kcy5eq\n3HfkGPrIGPW1KpPbpsmMlrj34GHiKODoLzzO7ItvIBWynDl/nn/6+3/AqjSQsmm6lkVGMyllSzz9\n6FN888Xv4inQXlrn+edeRkkrxL4LIuDo3Qc4HTioBZMv//XfkNEUfD1m+9gobbvJ6twyKDFtt0Kn\nmWQH5HNZHBfyRhZJxBRyOe7edwTJ3lT9b739zMDY8R1sN/FqVRSJw0d2MzDssMMrs3twB46dw22l\nkYIpqqsBsnWDWMrQdSQaTouJHbtYq4VEwmJoMk2sazTbGo4b4wYdVCONbUVIUpHB0btR00VCL0Qx\ndOgljqiaTjqn4bg2QWhhGDqBHeJ2WqgCNCSaVkwqNBDI+KEHisdI3uTE/ffy3sk3SRsZ9DCZCxaW\nQ1aF0XyWvC5hRyG1tQUaYYiWLiLChLJa8Szcjko3llizq8luOPTQ1BSuH9BqtvAiH0VIIBRSKQO7\n00l2t7KCZ+pY3Q6KSAbyRcrA0FScbpcw9AEZ388mO9jAJ/KDJIc2dPG8ECf2iIIKhqHTsXzCWCaK\nEmevrJHH6rbQUxKSqqIb6USMETvoZhZFSyMUl3ScJxIxISG6kAniAEUWOLaPasp4TowtJKL1Rcan\nJvGHTSZzg0wMl3n3jdMsra6gG1lGBodRMwPEUhpN8RkYGKLZqhPFidpWqDpypJLXJBRdZ6nRJBUr\nyCIkiCK6YYchs8T5Gx08fJYWl2lYNlpKoetpdJZvUmm30HUDLwjoCJlyJk+9WaErZ8iGPqask87o\nZLMmqaxO23JIAaFhUhw00bJFuq5HFEJKU8mFKp3QYmZikunJPLXYZVwxELqEFnlkisMcsi38MMbv\ngK4FyIaO4oT4eLTDmNgOcTybxtoigS8Ru2tcPreKJ2dwqhUaiyuo6TSaE7BqrWPkCxzZc5j12wuM\nHTvApTdf52MnDvH2hdPkduxGFB1qtkm11mBmbBfW+hL15i2Ko2WCjsVkaZB2x6Hb6KCnsnS6HWTH\nRlIF6XQaSVGorFVx7AglnUOJQ8r5iIKeoml53GraWPkyb3opqqpCsL7E1I69LDa7VB149ulf5LkX\nfshLr7zBxz7xSXbt3pVc5kViNiH3KGBZ3uwdh71HkfCpvdEjsdkLJYFo4jBBsd4FXxbJ3G8qnaUn\n/yWTzaL0ZmAT8XZiEhJDTzm9aUohSUqvmuz1SXsV79Z+8MZ4Uo/mjXp87SaobqGM2awMFUVhbW0N\ny7IYGRlBVdVNVTkJTR6LfuXcA9Oe2EvqTWRsADWJpDuhj3sbkV6PWN4kk5P1RMlmIRZJ9nksNo89\niiJqtRpLS0uMT05QHBhAyMn5CJJdSS8jWyLRvcVbtig9ZXSweS6kHhXep/2T+Ymt1H6UdAwkBVmW\n8XwvmRvXUvh+gKbpXL16lbn6MnsqY3znH7+K/IlnKRcHmNBN7MhHxBE3Lpzl1JVLNJtN0DTGxydR\nNJUff+9F9IESlUKBX/n8r/Hue+/QkWSCapMdB49xa2WBfDFkYniUneUR7GyOszeusn1whI//xq/w\nb3/9t7Akn9/95d/k2Z97hnfOvceue/czki6y7LTZ9chxfu+XPs9/+/nP46Qlrl64zI1z72Gmda4u\nzDE2NM71m1dJp1XOnj5PKmugmSpd20FEAlVJkTZTVFYa5IpF6laHjBmiNFzeefUUs+k6n/vkv/gJ\nTPyZgXEUpvCDkCBwyWYNVhZvMToyBFFMY0kmV0wjTNhzz25uL1+n4VZYXbrBnp1HaEc5hKeR1vMI\n3SCbsyiPzLBuqfiBg25IhL5ELmtC5JPRh2h7XYIAZEWgawqBHeDaMSklg+ylEMTIKESRS15PYeoS\nY8Mj3KhUwRFYnku5qGNKAlsBq9shq+nEqoJsmoSBQ0ZNMaBLFAREkUUhk0N2JQqqye31GvmBYSJZ\nQisXaVctupZLXk8juS3iOMRtN0jpaQqFLG7sJyKtUJAydYzemI+MIJ3NUCfZXQk5iePTdZW670Ik\nE0Yhqhyjqxq+m5h2hKGHTEjkOfi+gyIrWF0HoWm4QRKfaHkWfhRgWU1wfGI/QpbSmCmNbqdCLFIg\nm8iaTcrL0u0m1oKRKpExTYQi4bseemJki2RmKGk64wUTUR6h7XbYMzVJdSWZAbw1d4tdkzkWai7z\n5+eQ1Qh3cI3l1SW8QCaWArqyjJyWkWQVU6isrC9QFAaSFpMy06iRhFRuI6w6HjKk0hQHM6iGyszw\nCN6wyYyAIE5mLQ1dozCQIQglmp1mYiJBQOh1MVMGhXwGEQnMQKFtt5EECFUgcmmyEnRa1cQ31w9Z\nvHyKpheD0uFU1cWMA2JarHUjijmV1loXTYdxPeLlc9e4d9sMrU6N2dt1Hn/gEH//wht84akTvDO7\njNNs8Huf/jD/9f/1NZ586BDr8x3qVshQXqYrabQdl2anguv7XF1Y5sZqhbdvrvD2jSqlXI2ZgWHq\nToNUdhjbazA2kka1TSQhU+ms4wY2UhBiKgqW3WaqnMPvKgSWi2NHWIFFeXCMZqdFTgpIhwHCcbA9\nD1fJE0/t46qnM2fHOJ06x44cZ2V+iWtrt3jixBHOvnWa+VtrqKk0U1PTdwBF2DeZ6NHGogesogfW\nd9K9m4i4kcbUB9MeRCQ2rJug6gUhcSzQNQOQtqidxSaob6mKE0zfBPz+a/uuWElfOKGrN6j0XmW+\ndW39Maat1HQYhhiGkaice/PD0vvo8q2ALkT/MxMAjrc8L/XU5lv72BsUeO98iF4POyIx1EBKDEeE\niDfWpigKuVyuN6JkQExSofbmlgWCuFcth3G/Nx7fucZoy78jgUzPmzwJuU7W+77NCXFM4Afomo4k\nSdheSErTiLyAPTt3E7/8Ld57/XX+xRf+G85dPMNUeZClRpem7BF4PoYL1+dvsn16huUzZ6gFHsIP\nOHbfcapWl3tO3M/lK1fJT4zx6F33kJYU/vm57zE+NMjcmSvcXrpN55vfol5d5fD+fXz7+R/ypf/h\njxA5jc9+9lnu2baHL37pS3TbXa42F5CJmd63h2d/6ZfZMz7NJz/8DN+5+A5f+8Z3GR02KKsZVB+u\nzt/goYc+gNNsUG9UWW5WMLJpBo0MrfUWkGy+du+doLLcpmO7DI2VufvAQS6cmWO+efanYuLPDIxj\nTFqtRcDGVNM4nsKtm+vYzTQffOIBzHKejuQjsiYMhERzFpmUR7N2HjMWZNN5lLTG9OAUUWcNtyOj\nyC6m2aa6vsbE6H6CwEaVXQwlQyqbpd7u4rkWmjCRFAi8ELyIcrpIuVSm3algxTElI0s5lyOtGRza\nuY3IsknlDFZrdYazJX586RJBw0ZXU2hamjCdIu8Kul6HgiQgk0L1wXEC4lilmB/k+u0K6oiBhUe7\n00USMUVdEIUusVNnx/Q0C/UqmhJQa1ZJZzI06m2K+QEqc/OYGRPXDdANg7XmCrJuEEURqqrgOx5O\nQ07or0igxBJRxyWUbSJ6BGAcYXfbGCkTPaUS+SECmVgCM2Mi4hg5lpFJbPSEphEJiAIVQ5MQsUkY\nm8iykWwATIGmSviBj6Ko+FqIJit4XR81bxJEPu7qAgePH+Nv/+bvefjDDzN+5C7OXjxHo2pjN1tE\nQUh1dYlte+4n1Axi32bv7p1MOzM0ah0MPUcgRaTUCEVW2DEwQKvdRBcmFbdGTk2jiST4ortjDFuo\nqBG0Ao/AaSIvLxIJiZaaxE9Gkcr6qsvVazaSLNA7bVbqdWIkVEnBazXJ5bI4toXhR5THC7zx3jkO\n7D9It9HBWlvmMx95gC//4EUemd5Ofszkjecv8Wf/5jP88d9+h7EYfv4jx/jD//v7fOoX72cuVHnv\n7GX+i996hlvX5rlLbvGBj9zDH/+f3+bX752i1WmRWpnnf/7Mo/z7v/gK006Xpw9NM3fzBkcmxpld\nc0ENCMMYP3ZYXltHSAZf/k/fZzif48r3T/LQfYc5OVfhnvs/yH/4D/8Pe+7eR6bTIatliP1lNEmj\nMJQmdgMyKQPXD+nUm9heG8wsqCqaBEY+RaxDOhKEfpeunKKiDlPPlJhDY9ZxiYw0pcgnUktcuDXH\n0IDGE6XtxCurfPQXP8kHfl6Qy2ZRVJUoiDd6kLEAsVEFi00FsBBJScedVG//db2icePC3sNu+mV0\n3NNGhT0DCkmSehnDbIiR+u99x7Vnax+YvrWmtPHcJnW99Xf7/dv4J9baH0fq94yz2eyG8CveMkrV\nf/7O6+CmOKy/DxG96jgWvYN8/7Uz3tLlfh8FTv/94s21BUFifJLP5zc64oqi0j/9/aS2UMRJf7n3\nGRtnISnb76D8+wT/BmOwZX1hHPdmqJP1z83eYnV1ld13HUBSBVEQsba6gixBu9XkO9/6BkPbppCc\naYxmhx+e/BH77ruXkcwAH3j8YQInYvv4NLO1NRYXF5idu8nQ5Bhnz55mOFJY8VvsO3QYo9FmIJ1m\nKF/gzOWrDE6M8forL0NO4frN61RW15GzGfYfPcTFt9/h8vOvMjYxRrqY5/WXX8WXYwZ0iee//I9c\nyZdZa9V58u77+H9vz1MYLLFeWaRUGCddHKLaqJGVZBzLwdANLKfLvQcOU1tcZ7GySrFcZPt0iaKu\n03A0BkcLuO02A2YaVU79xHcKP0M19b/5o//qi4qvMJQbIZPOIxsysioRdR0yjsnuI1M4cp0rC1e5\ndf0yquNyaGaGlWYF1SzTsTxyRQUigRyYDGSzaEqXmzfOsbq8TD5fIKWnIE7hhz5R0MU0DWQBchwh\n9XbdURzQqq8SB03Gh/PsnB5jcrSIrAicWMKNZNxOl1ajjqqnyJaG+foPX+IfvvktTNkgMzpMJ/Jw\n4oi8niYUgnmrTaE0RkvSsFIZamFMujyIH4UogU/ac9lZNNlVTJPyWpQzKZqry6Q1CdGqM5rPUNYN\n5Cgkp8hkFMFAWiO0O+RkFboWg5k0UadFOvQZlCVkLUByLSS/hRZB6NdRvAA1cBGei+R7BJ0OgeOC\n6yB8HzyXyLORYo/Q6yQRed1uEt/mh8m4RugRuhaKkMmkdMLAQRcKhuKjpRQKWZNMCJoQ+I5FSU8R\nRQG+3eXwjh20mk22zQzTtbt8eO8MkhIwPb6b3cMq+8fHGDJHaLWrZAKbvCLjNiv41TqyaxEur1Cr\nVLAqVdYW5njr9ddYuHiLsxcu8cbFq1Sv3OS1V17grVdfZ315na899wKrc7foLN/mn7/xI0aGdV54\n6z0aly7z0OQA33/hVWb8mzwyM8Q/f+0l/rtnHuHS7HW8K9f4k9/4KF/7zg/49P4yv3DiBD987nn+\n/HMfxGl1mdFNfvfXfoHX/tML/KvjI2RHxpAvneX3Pv8BXn7hGg+UYw7smeH0q+/yS8emkUOXzsIc\nv/nsk7zxox9z78wATz98mOd/8BqfemQnfrvDUtPit59+jOdfep6PHBultuwTOMs89egunnvtCjvL\nw3TjgJwu8dihY5w+d41cKiR02hRcWEMhp8hcnFuiavtcmFugUuvQVg1eeuUMDz74BIZTpajFKE6L\njBnjxV1kIVHS0jRcgWXk6PgRmVjCazWRFQVfKXIrLnFZHuJdtcB7YYrZQEbJ5pBR8CNY7rYZGC6Q\nCkMyLnz4Q08jzByqoSIJgaZoG5qimD6z2ushisRkI6JH14oeNS2JPiQlVShJ5RnHPTzqAfFWZXDf\nLrJXZm+O54iYOE76q9GGxeUdpO7GT1sBcrMa3Py5b2+56bvcV0SLXlWZHGCS4NQzvIhCojBRG9NT\nIG/9vAQO+7DW34xExFGv5xvLEPd+7quh30eLSyLqUdmJR7cs9RTUEkhC7vWcezPNcmITGkVh4qlA\nIrCKwrBXtffEVls3BiTHE/eGsfv9YgFJxGuvMn8/ewEgK4lIrj+jbZgmhWIBWVMQcYiIEtc+WRes\nrq1xdfYGYzPb0AUYcczJ029iDg+xurKKmc9xz+GjqFbIhWtX2HFwL3uGx1luruG2WyzOz3Pm+gX2\n7t9HZ3WdDx0/wYV33uUvv/d1RvbvILQcqrO3WMfBD0LMjEm72eT61esURka4eWsOz7KxOhZTM9sZ\n2jHFY088RXOtzve+9wMu3bjBQGkQq+5TqTusrdboNBssLC9we/EWQhLoKZ1mvUrbtnDsNrFQOXDX\nATr1Go31NaYmR1EknzBycDybpZXbfOFf/v6fvB8Tf2Zg/Dd//+UvlvNZyqUU2aJMebRAEIT4jocR\nt6jb63zl+//MxUtvsbh4GS3yGS+NkikNUltuU8qYyKpEHEo01hvUqstIcsTSygrbpneQyeRotR2C\nUAABihQSC4l220GRVQBUQ8ePYwr5LKmMznptlXa7SaPdZbXR4NqtBa4sr3BzYQlHVbk4v8h3vvkC\n3byJ3ewiJJVWt4PsQ15JESNTHBtHzxcJdJNA1+n4Du1mDbdZR/K6eLUKo6ZK1K4QtNfJGDq2HzBQ\nGqTZajGSzzNULhHYHkQhxXwGXRbIIiRn6GRTOilNwlBizJSMLkIKho4cS2Q1lbTQyKdlhBcxOVrA\n6rYoF/PIoc++mWkir8vg8ABy4DGcz4DdZqpUIG42GDMzKJ6LQogSBmSEICOBGtoUdJXa8jwz4yWa\nS4tMFPJU19cZ0Eys1RqmJLC8Dhk8JNtj364deGGHYnGAo/cdQhlKMW6oaNkBKgtX+Mr/+lf88kGD\n/+PgC1xMAAAgAElEQVSfnmOitsThaZcv/8dv86HBmJyp8vzXvs3vfHA7L738CsbsIp+/b5Q3T19i\nX9Thl57Yw9tvvMVv7xtl2+4ysxeu8Wf/5VOsteYZcRz+t996hjNXrvGp3TN84rH9XH/jKv/uV5/C\n8W3W373Bb3zyCWaXKkRLi/zco8d47qVTPLJ3mn37DjP74qt8/uf20bZ8Vq6d5Zc+/gDf+eZr3L+7\nRErJcO7Ue3z60QO8+vYs28oK44NZXvjheR45fojLy3PoXoVDR/fzrecu8sGDAxgDKa69fZ1Hj+zg\n4lqFQcdn39E9vPaj0zz91CNcnl+mubTIiYf38L2Xz/Phwzu5ttjgwLZRDs5kuXTuEh++bwzskFLg\nkTENLq1ZgEOgygSSBG7EzbUllvyIq8vLmDmJ8qF90PVxfQ3kNKEnsDyBLavEKQMjD5WWQ5wZZi6S\nWRoY41J6hNejNDfkDGuRSlPIKEqKjKrRbCyTzaSQfJdMtoDv2IwXSjz2wCNoRgZPkZF7MYNBL7Q+\n6oFXAsh98VNfqSz1erVi496XL/VhSpIkJEneALw+oMb0L/S9MZuNjXW0ARBhr4rdot7auPZEGxXo\n+6tfknXEST83eU70gOxO8dZWsN74TSERhokKPIriXiDDlt3EhkKbzXVvUOr987F1TEreIpS+kzUQ\nfRp+Q3vWW0+/t8wmTb0xHibLvTEpAWG0IWiLeiAr9UC2N1K9ebI2qPqkV71xOrfQ/P10pzAMCYLE\nbzyKosR1jBhZ15K0KFVCl1W63S5n3jrJuRvXKA+OUMgVGZ2coNtqszI7z6GjR7l++Qbffv4FhsfG\nsWsdurrg0//yNzg+sZtbK4s8ev/9ABzaux81m+HA0CTf+Mev8lff+ip33XOY8aEhzp8/j+V10bIp\nwiDEtmxy6SyBH9Jst/E8B0VXaLgW0xPjdF2bew7ezc7x7axUVtj11FH+5A9/n7DVIj9c5sR9R7l5\n9Rq+FJJKGTiWRRi6qJLATKeRZOh2bYbKJaxuk0wuzcz2aWzLxvPg4pVZVNXgC1/4vZ8AY+n9//Gf\n6zYyuINatY2ZS5MparRaK4Sujz4wQGi4rK/PMXNwJ5mUwq7xHUxODdF11vnON/8B2esQ+h0kN+LN\nH73N3Pw856/OsrBaQ9bSZHI5igNDDA0Nkcur6CmFIAiIIpkIha4b4kUC2/dxg5CG7bPatnEVlYbn\ncbu+hEWX4akCIgNznTpzfsC3X36d+bUa9moLxQ/ZMT3N6K4dpA9so3BgF1P79uB2HdqOx2KzTr1e\nxV9fJWc1mcAj26xxfNsUg6pMWhXsmZlhdanKoYP30O14TI5OEQcxzVoLXdYwdJ12q0Olto4gJptN\nM1rIksZjciCLEfmMFgdIKSoHd+8kb+gcOzKDKUd89KmjBFaTfTumkQOPQzPbaC/OcXByFFFdZzKt\nEVdX2DcyiN7pMJnOYOJTED5DImZYihg3ZUzX4uDYICm3yWNHD6F2atw9M0TBcZhSVFTbpmgqmGZM\nSQ2ZGEwhxT4pQ6JeW+ED9x3jXLPO2PA4HaGwMyvzO3dN8+zxe8jcusIfPnsv3vosj28r87F7dxPc\nPMcXjhTYrRqYN97hdx8YI6gsssu7ye9//GEWlhb50JEC//ozj7CwsMonnjzBvrFxam+f5C9+7QMU\nm6s0L1/kVx68l7Mvv8gj+S6HBmTOPP9tfvPEdrquw/LlS3z2/v386MJVthcFH3n0AD/68Wke+cAO\nukLmxqmXuefQGBdnV8nWLLZPZTj5/Zd55oFdXF0J6M7e5sR9d/Pdv3ud4wcGmPUD1iqzPP7IMV47\n1eDgnkMMTc1w8fJ5Pvf0cTpeC6t+jY998ADvXbzKvhGdQsrgRy9+gwfvO8LLb1eI2h6hkeHUO2d5\n8OAQP373Fe67+xD7hieZf+00T2xPs7CwxvFtOTKaYFJRyDRrrF2bZ35plcBXKZBiQEvTrrR56e/+\nmp0lh8mSTMttsCwEbn6SajtFvaFS8YYQ2+7n3PAMz2cL/LAWstpM43opRDqDOTqMJUms1dfoBj7b\ndx2kZUV0Wg202GM8U+C+Y8eJFIEb+0kIRJSAkRAQhOGGSQRxnFR9kUjAOUpspMMgMVvZqDbjniHF\nHf1cekDRUw33nhOSICTuYUW8IdxKqvCEHpUkCUmRNwGJrX3azdtm+lK/Qmbj8Scq4/etrR+0EIQx\nMRKO63Hyzbd5/Y03sSz3jt/tH03SS5Z7a5LoOVUTxSFRFGwAWxQFiUVjD+T6/59sNqKkT9w7JxF9\nRju+4xj7rxdC9DYryUZA6mUVJ7Ls3hhUFCP3xWExSL27vCUcIxI9w5TkS9nc0PQZdUkg5MROM4gj\n/CgklgV+6BN4Lk4U4NuJytwMBOWBZGQwimHu5m3GRqd49KEnuHX+GreuXicMI15883WurS3y7K9+\nDhHL3Fpa5thDD3HvQw/zuV/9NT7z0U8xNThGt9bgnYvvMn1kL//ui3+Ev1YlbepERYOUG6JrGilV\no1GrMjQ5SrNZo2t3WF1bIjeQ4+rFC+wdm2L5+k3+5H/6EgeOHuHymQu011aRFIegtkrKSNPqNjF0\nlTgMMA0NiZhCMUdGUQnDCE2HhbnbpNIyS+tVTp+/TK3usrbcQkZLgit+yu1nVhn/3d/8+Rd94TNS\nytGtrTOQyyErEn7HJZPJYOay6KaC5ygUMgV0w8DQQ9woQpYjQieg2goI9TSBliSUSJJCeXCUdDaP\n4wZ07SSkXFFA0RValo/tAcib6lrHIiZxpyKM8L0AIRQkWcFzHXZlBvjsx57lrTMXWeu00UyNVXud\ndNak7TqkZBXVDWjXV6gu3iDltRn2HMJqHXfhFneVshweKuBWVrjn4D6cTpt6o46uCpYW5xkol6jV\nWxiajBpHBJ5FJmMSEmHqOpIUUyoUKaTzeJ4Ndhddl5B9l5QmE3gumqbTtauYcsjywjzlQp7b8zVU\n2SQMBBndREOiPFAkCgIkVQLfI5fNEgoJL47IDRZpWhZDM9PU2g2GxkfxWx0KhQKuY1EeHKJTWcfI\nyGRkg7bnIssq1XabsaFRqqvL7BousT63wvi2EcZLOY48eheNrsfU9jKjO6YZCFxUu4V04QIjYzmu\nXDvNs4/uZnl2ne2FIof2jXD9/Bz335VlPVSo3Vzlqce2cXbFJdduc2j/FM+dusaBvML28Twnf3yO\nI/t3oORyXHv3LI/sG+DUYpO5JZ8T99zFd06fYaaYQhoo89IbZ3jkwb0sWjHOaoXHn76Xk2+8y8PD\nBqOTg7z5zlU++shR5qsdVufneOD+B3nlrVuMlQcwJ8Y59fp5PnxigGvVKpLvcvSeUV5+8zoPHt3F\nattDr65z//0HefPsJSakNY4+fJgXXznLB/Zuo9LUuH3jBkeO7Ob7ry0ymjWJB0d569RZnnz8GK+e\nvMKuXeOUR8uceuU8H3ryLr77owUmR/MUynkuXb7NLzxyhFtry2zTYj720eO8/PZNJnZP4QmZWJLx\nwyTLOg4lpktFfu3TTzMWrKNLMrGWpy6VWEgVuJAyOZ1Kc0XOcyNIse6pKEqGvJHG9x2EptCot7F9\nD10VZLM6SrtN69Y8equOEQWMDQ5z7PC9KDGEskQcyfgIpDjarHN7phRAXyZ9h6AqSV/aFEkrmtar\nQBNQTEA56o3IbHRCk1/oF2dhsCEUu8Nko/+Z/Y0AJPabUUTY87zuU9hRlFDmfTVwAl79q9QmQPcr\n5o0K9H3AHNMPdFAYHBxkbGwURVFInK+irYX5HaDav4dBBLG0ISKDfpDFT+sZ93iEHtvQt/DsbxxE\nX5S1RRUdRb1oyq1itN78MRvH0AP3KNrcAIl+RdwvwHs94j613dsUiF6qVvLdJY/ICTAjSDQasoIe\nKchCQhHwzW98nduNKiP7d2Pk8/ze7/we6VSa2bk5rt28zrY9e2ip8MlPfIrcUIl8OsuukUk67Ta5\nYpGdMzvxGh3OvvEWFy9f5qtf+QfWnSorrRVef+0V1ChmvrJA2+om1pc9yl5IMt12u+coKBEC+WyB\nZsfi6AcepLqwyKc/+QyFwSz3332Iq+fPcOr1twh1Dc9qUVldoeu6hG6SIV0uF7FtGz1loMshaS2F\nosQ0ux3uOXIPC/OrdKwWQRQyPDbE8GiOzz77k3nGP7PKuFzWObx3P42KS6Xio4UmnuthphUkI3GJ\nWr9VYWpinKbfotFaYaVbp+vYuIFF3XVY7boUxrZjFAYxcyNMbD9AJjuELNJIwkBVTLq2T9fyiCOB\naaQIAw+IUXQFPwwIw6hHZRtYdkjX8iGM8OwObatKK+7wxvlTzLYq+LUGSrOGUqniLtVoLK6xuLTI\nyo2bWJdmyVaq7EjJlKUu21I2zzx4iKLis762wI7d25mvLNGJQ0Ynx/Fdwa6du+l2LSaGC+iSC0GH\n0PUJnJD1SgXPsfEcCxGFtJpVPLuDoSu4rS6KqhJHMdlsFpUYFYMoTrF9xz5sTzA1PogcB0yODeJ7\nXRQNulaXdCYHQUwhX8TqdHFdG8PQWF9fJ2WkmZ+dY7g0yOriCulcho7TQTdzRF5EPp0lpZZoWh1c\nOSKMXHZvn6TZrHDPkYNYi2v8j3/6B3zo6N2oWZ3RTInMQJkd09sJa+uUVYG/WOHc3AL7Du6jYeh4\nrs7UxG4WTl9gLBNhqGlunb7FPYcmOXW9id+Gew7v5dxcm1zWZvvOIjfmbrNzt8H4tM7y7DWO7Rlh\nsdLFb1YZHdKYnb1OQWkzMlDgxTMNZnbtYs5TuXBujp8/cYCV1Rbm2hL3332Q2+9e4MSojBkHnHn5\nFHt37Obkgoe1tMrEzBBfPTnLzNR2VtyYi9dv8tDxGV4/PU8qL5jYM8q5Ny/xyx87zrXrKxTTJidO\nHOLipSV2jY/ip4d57933OHz/BJcXO/iLLYZ3z/Cjt+aZ2jnF7ZqP3Wpx+O5JTr1znmN7J5lzJIK2\nxgfv2cvipWs8eV8aS/JZWlrhk488yqmFmNG7jrHj+AFurTfZeeIYwlRxdImgnCNbLlD1LVaMHF+p\nZPiBPsO35SGeFxleqjqsSVmCVAlfUbBUj9XV21gr69Q9n3nho5SKiFQau9YlrndQ1tYxm2uoq/NQ\nW+HnHn+Eu/fsI3L9DSo3FBEiDpM0r35HtV+ZiURNnQAgvfxbQS6X7/keJzm5tu0kuIAg7lGo/Yo3\nDHvgtQXENkVDUY/yDbc8hoQkaUFhFBBvpD4lCB1GCTBHvd2AQCKK6X0OG5U7vTzvONoK9Fto9R6O\nba3KQST9UFmlv2vou1f1jycB4/6xxRvgtzGTu3Hsm2lVWynnPmwqcpLZrEoymqwkCueYnstYj1aP\n+733+I4KO3kq8eIORWIHGgp60aubGxN688hIyRrkXg886tHPUa8fHwU+QkTEcZBsA6Iw8RsPw8Tl\nK5KT3jMxlu/y/RefJztUxvcCKq029z35JI16i+XFZfafuJfP/PLnKE6M8Qd/+iXuPnSEj9z3CHfN\n7CbTtNFVmZlt01y5dJlLZy5QrdepV9ZZt1popTxmKFidn+e1d9/E9mxCzyeUZZqdLu12G8vu4voe\n/VG0TCZD4LlYnsvq3DzTB3bz9W9+le99/Wu88Ndf4a+//FdYkcP8wk1e/fFrtFo2kqxSLpeYnp5g\nZvsMxfwAzXoD3w/pWi4RkE6n8Gybhbll0qksmhGjp33Waos/FRN/ZmCc1TW2T46za9ceRvLDDOaH\n2Dk5Q8pMUR7N02y2aNa63Jq9gu00uLG0yvnrVUYLE5QHy2ipDNtn7gVpiHx2gvHh3chhmjgysCyw\n7CSfN44VZEXHdV1kVSKbTWGkZDzPwjST+eFu18cPZdxQJhY6VhASEJPKGNi+zVpljUN3HUKyPezA\nx/MhSGXYvnMPgwNlrDjCGy6iHdhBR5NxuzbDo5PcWlhkpdZgfMdOFiprCFXGSCssL9xmdKRApVJh\n27Ypqk2bSJLQDZ1icQDd1BgbK6GbKqMjZdKGjoxg28QksqYxOTlNK4jIFEo4rkdKVog6AcXcALad\nUHhXbl5lfFDg1q5RTIPTblDMmlQqSxQyGUIlBkNm//gEph9yaO9eZMfh8LYZpFaHfeODCMdiamSQ\noUKBfDpNvphFCiz27JgmFUacOLSHZmWRB+7aQbq6yL/973+HfOjy9msvM1ocwCZmZNsYw5LJqCQh\nXbnKQb1J5fYVDOsSpeIA795cY+rIEc5WI+S1FXbuK3PyQp0dpUHigTyXzy7w0O4iFSmkc/M2n350\nP2evtnCuNhjbtZNrczVGcibGUJnn31jkwP59VNsO9aWrPHh0D5dvLlJKxezbPc6VsxUOTYxh6hnO\nvnqVE8e38eZKh9hQmdw9wGtnzjC9p0BTznJ14Tp7d45we2WNar3L2L49vHKuzsGZnbiSxvXbLZ7+\n6BPcWG0wNZpHG5nk9EvP88Aj+ziz6DL/7mkePnw3z796kUFTwpOzvHdxnruOTPKjmysM5xVGywXe\nPXmeE8f3U13tErRaPPBzR3jxygqPffwp5hYW8f2AA3fv4wdXl3EfeoCLxTH+9M//mT1HjlFvx1y4\nNs/RJx8iiFsUCNhWKmPEGn/zF39NPV9iTtZZjBXM8hiTwzuQHJV2xaJac/B9n727JygNGxSygqyw\naMyeQW/dZKfmotdrePMtVhe7TOy6iyifx0ci9H10JZmBjaJkLEaR+urZLdUeW6nd3gVHkmi12szO\n3sT3A3zfx7Zd3jn9LquVdSL6F/oe2NGHngQkol7FHN5BZ2/2LreCWH9UJwxjorAHsn1a+32gF0Vx\nEpYQsQGUQRDh+0HikhXEGxnF/VsfIGVZ7plwRBCHxFEAcUh/NnizCt+svDeSqGQZRVZQFDVhEgTJ\nkfar/zuEZFupe0Hg+2iSTBSGvUjDO48pCAKiINzS2+WO9+qfnwSQ/z/m3jPGkTw98/yFZ9CTSaa3\nVenK2zZV3V1tZtqMk1p2tLd7WtzqZiQdpBV29wxwd8LOfbkPt1jgcMDhDpB2FyvsSiNpZKdn2rvq\n8jarskxmVXqfSe+CZNj7EGRmtlr79UYsBEgWk0EyaJ7/+76PaS2cBP99s9st7dbmODae126vtv5X\nEv32tOsheGKrfy2BJ/o1uCAhCzKSBwq+/lkUBGoNg56BAV5+7XXeevsXePnlVzl39CRWqYqiyAwd\nGEYM6AwNjqCY0BdOENaDBCSR9akHvPvTH3Pt5lU822Hk8CSTx46wuLLEwPAQpuEgNgXy2QLoMg0c\ngmoAq2HiCQI24AoilUqNcrlKo25RrzUpGyV6R4co5PNcvvg5DxdnWNleZnZhFsN2yBVrlBsWjiii\n6SqKopGId+I5Krdv3UdTdSRJYTtboOn48+hkLMjq8hydqSSGYVGpwv3781QN8+/FxJ8ZGNuOxPTs\nQ/KFDSTBoljO0tPRRaEA2YxH02hSc6vMPlylvhWkM/0sCt2koj2Egh3IYgLbCZPN2zQaKo6p4Dgy\ntiNjuhJGw6FYqlNv2FQqTayGS8No0KgbOFYTyzQREFG0EHokRtMTMF0RT9XwFJWa41Kt21TqHoIS\nYurGXXYKOSwH7EiETafBcmGHxdVNUr3DyMEU9x+ssFYScTsn2CjVsb0APYPjPHm8Sn9igBgawk6R\nZycPUMluc3B0kJ18FmSViuEgSDqm6aBrAfK5PPV6lczONuVSgYCmUMrnqBom2XyNrt6D5MsmoWAC\nVdEZ6JRwnQyK3ESVZQ6PTyLWoS+WJqjIJONhXKtOZyqBEpKwjSYD6TRr+S0SPXEe3btPqjPOwsIc\nPT0JLKNMKKqgi01Up4QmFrDrJfqjISqr8wx2RdALef7g9/97/utffImR7hhLj57w4x/+OclkEkEX\nePvCt/DUIJsra6iGyZ33PiEesUHVKT59QncySebOfdLyLFu6xVbBIjbRwf1MiaYpMHJimEeZLD2B\nJvGhPtbXqkz0qZgm7CyscnAgSXF1FWtniSPHh5jfaDI6HCUYUdl+uMaREY2uDhW5scnPv3WI1VyW\nYrlIerKD6aUNOhsZKgS4fWmGF452s/RkHSdT5NjBLq7eWmdkYABHFNh58JALF45yc7lAJVvj5Isn\neHBtmcGxGHnJY/XKQ86/OMTV+QLRQITIaB+Pnjzl8GCY7XqYzPIKx471M72S49BwktREJ/M3p/nl\nb77GjbubJLsHiB06wqUbT3nx4Bmml1YIJOJsjZ7iX35YZ/vsN7lTj/HHF+9x+MXzzOwUeVrL0nV0\nlMZqjuLSBpM9fYRdm1uXLrKdKzI8Os76w3nsokFnNIprNciWM5iyiRiBqCLDVoaFy1cwtpepP5mh\nYymD+HSN8twaT5/OkTEMUuOjnLnwAofHRukWNW5evMx2vohrtSIu8VumotcGQFqbry1uWxY7zl6V\nFwqF9vKyRT/ib2xslHA4jA9F/kzUAV9PK4q4gv/D788s265P3pfAan/rV8Cv0v2giT2DDEGgFebQ\nrlR98xjXdVpbe167v4J0cT17H1B/mdD1JYKUwO7mus4eoalVke6/3t4s28G02n9jt0hobstQY+/k\nvzaf2CV7Aqoo+4oHz486lFX1qz7Zot+S/kpbvD2D9tzdBY7fsm/Po/2ORntrpzf511rHx7H9qtlz\ndiNUBc/FccyWflzyeyICeLQqZs8hkYhz4ZVXcTyRI6dO8eZLrxBrOEQUkUgshGLZnDp0jNfOvcRw\nqhPR9s1ygorCvYf3uXPvDk9mH/Pjv/kr1koZ/vg//idETSWYTnPiyClsRySuRWmaDk3bpVis4DYs\nYvE4yDKKqvkhI6KMosjIikxnVyf9A338yq/9CtWNDK4o0ggIbFCjZNtsbRUIhKIIsurbveJx//4M\n9+/P4joS4XCcRtNFDQSp1OroeoBCIQueSyZXZG0tx8pygcOHnuXF51//ezHxZwbGsb5ekr1dPHPk\nEEdfOkU4GkLCZXR8gmK5ih5OkWtYRFNRnHqUhDrMiQPP0qQLVZqks/s0+WqNqmliuQoVo0HZMDA9\nmVrDwZM0EAIgBKhWTYwSCKZKX6ofjQAhIYxreESkAIotEPBEIlqQsBQgIOgIrordVGjaKq4eYbh7\nAKPZZH1+CXdznXFZQhU8Bkb6WF16QnV9lZePniIeSXBzeZl7rsp8PM315Sxq3wHWm012MjkGxvt5\ntLhCenCQueUtOhJRzNo2HWGFRimHgonbbNAVSzOgxegUA4yl0iRUif5khI6wwqHRQdxGmVBYRZVM\nVNWiXHcwJY1sZhMpGGR7dRFPlMkUawiqTsNyME0b27KoFSuEIyEqNZNDY6Nsr29z6PgY9XqTAyPD\nSKJCOh5joDcNjsr46AhuocmhQZmUkON//P7P8fo3XuUXXxgncTDKjU/vUC0ZTN26jCd3UIz1cmt6\nnvd+9A79MhSdJqORPprxTmrb2/QfjPHZnSeMDKV4tF4jWC8R79K4+ijDQM8BCrhsrmV46evPs7BS\npZYtMhRRebpWJGKZDAzF+eLOAzqqebYNh7n5ecaP9HN1M089W+KbL5/m6XqOtOzSGdeZffyIY306\nGUdkcWaLyYEe5nZsHK8D7cAIH9+Y5ehgFDGusPx0k1949Sz5RpleaY63nutmIbPMz52bZHAwyoPb\ntzl3pIf5nRzK0jwD43F+9PEUR+Ia5R2ZlUc5xi5c4P1bW0QMifjoAJfvrvHqW19nsdFgeSfAcxee\n40dz2/RdeIXG4CB/cGOF7he+zp8t1Ng+9gKV5Cj/8p1PSV74FjOZChuuRjaS4JOPLyMno5TyebZm\n1hjrG0J3HXLTD6k+XSesKowfGCZXqPHxF9dZnZ1j+cF9GptrBIwaEUmAeo383BPkxhrdmkS86aBV\nG2zNr/Pw9mOSsSTjByY5duwMb7zyMuODaZrNLFsLD1i+fIWoIBOOxxEdCc+z/R8QTwTbw/TcFlO5\nRdZyAAdEv5eJh4Dj+QxbNaC1pEkuqqoQjYRRZRFcX/rSPnme55ezbpuHjS8l8viStKg945Ra4Qki\nPkCIgockuEiSbzcpCh6i2AZlf4ctEnPrursnhRI8/7rY1j23JFOtzXY8P8zFcrBMB9vywJNwHQHP\nFVvtaqlF2PKZ1O3zPS3xHvnJdV2cXcIVrcfbc93yVyIeru1h2DaGbbOazfDxlUt8fusmi1sb2O6X\niV4I+6w14Svnuye3dQw9Ybfd7R93fxNaDo6e6OEIjt+Odmxcq4koOiiqgyDWMM0MSFUk2cJymtie\nh+36WnAkwXf8EgUqVYOTJ5/hmaNnGYh3YdUMFhcXePz4MfenHlAqFZhffErBrGKJNt5Ogf/3f/8/\nWDSLdHZ1cHBkiEomw627tzjz7BmisSgvvP4qL519HlkN4EkSVtMhFYxj1BvU6gaKIlFv1Kg3DGRZ\nRNdVHNeisytJd6qDgWQHf/XXf4kiKRg7ZVaWN6mbNoIkIKswNjKELAgoik6j0STdGWfi0EEGhwfI\n5UsokkQkFEFAIJcv4okqsWQvHak4ouZnL9+7M8vOZvbvxcSfGYHr3U9+/IPMzhZJAjRDKm41hyyD\npwRQ5RIDB6KYisTDW+ukOjxMM0N3Z5rOnlEcVyQY0olG4oSDKopt0xsJEY+F/C+9B2bDwWxYKIKC\nIigMxFIkInF0OYAmq6iCii4HECybdKwD1YW+ZAeS5RAJBulMdKBrQWqezPufX2J5YYV8MY/UNAhJ\nEAkGWVxeolY3EHUFPRplI5OlLEB8aJCmKeBUbbSublZLDUpSCKmnn42KiR2KUaiLhFO9bOSqpFK9\nbGerRJKdFIw6QiBAsV7Hk3U8LUDJdWnoEiW3RkxXqVcKqJ6NKLkkY0GarkE8EMXGZmxgFKOcoUcL\nExAtwrqGG4sh2QKd6ThWs0ooHcIsVTl+aIJHc/N0DXST3cmRTCfxTA/JaaBHQ+S2ikSjKqWtHX7t\nV7+DsbzBM+cO0pcaRTBsiprM1pMtPnlwH8XO8crJY/S9+haf3HjIyuYWjunywtkTPN3K8Dd3rpO8\nlG8AACAASURBVJM8MsL69GMGT73E+9eneePEJF8sbNIZqxJPdfPowQbnnx0kQ5Da8jovvHWUqZkl\nDiVEUhNDXLyyxCtn0szaGisPc7z68hjXFst0NgqcPNbD55eXOBbxOPDMKFevzHN6LIwc7mDuwQrP\nnQzyZAsezT7h/LlhPn30lKSr0j85yeWPb/PymQFqgU6ePHnKK69c4Nr9BeKeyqE3fpHPPr5EX1c3\ntVA/T25Nc+TFN7n2aBkja3P49W/wycd3cI+fpJJM8ZPbjxg9e5Zb86sU1Shdz57mb68+QE6PUA13\n8qcPnzL22rf57MYCT10ZKz3Ax3ce03XuNNcX1lit5ug4OMHVy3c4f/QQty9fQ6nV6Tg6yfy1acId\nXTg0qa1uUZx7ihOwGBmIo8di7Oxsky0VaYoyktnkO+fPsjN1h7F4Etl2QJRwTYuYIGFsrrM0s0ZM\nUVjfXmb86FFCoQh6OkJPXy+ReBpN0+hIpFjdXqO7I0kjX2JkdBx9cBhFkLAEE8mTWrNjB6+1tt+1\ne2QvInF33Mo+w4xWldo22tjT0baVvOzKbMRWO7QdcNgOU9jfot5PrhLaz6VFunJb0X574O3Lq3z5\nlA/iouA/sigKiJLQAs42ocp/xP1OXl8CNq89R97ztXacfcQor/26v6wXFloeI57na38VSUYUZVzH\nw3Hs/8Ks2b+ThIimakRiMZIdHYSCITRZbmmu945kOzFq97Q7b2+Rotvs6X3HvH2b1Bo9iC05FviA\nreCTsBQJTKfGytoSggfbW1ssLS+R7upFQEEURL/CF6XW/fdeuxLQ/PGD4yIrEgODAwR0nd7hIVYX\nFskX8oSDIfoTKe5cvMKN2zcpmgaCLLG4tMhWLott29TKFSxFQFZV+vU4d+9P0XN4FK/p0siXqRpV\nbMkjkYhTq1V9HoDTXgx5OMDJE8fJb+7w3bd/mYfT9xkaGsK0bbymjaZphIMqnt1EFlWMmk2jaXD4\n0Biy5HdA1tZWUVoLPcu28TyBWrOCY3kUyjniiTC2JdDf10+lnOd73/u9rxC4fmZg/Gc/+qMfqIqK\naunUXIGuWJT+4T5W1hfJb+SolW20UJqwGqNeW0VQQwz3n6ZZUxA0nWQ0ScUooYsKIUVDcm20WBBZ\nkKmVa6iiSjrRweLTOYKiSkSVwHVJxOPEojGGhwZRJBlVUggHQ6iaRtNpUm3W2MlnadbrlA2Dighz\naxusrK3RbDTpjIaxbJPNlXWsSpl4WEcWROymjabr6Ikky+trOLUGHb2d5DJ5hHSaiqSwXq9jhSM8\nnFtF6e7j4vwijXQnl1eWqff1M1NtUgl2kJfClPU028Eo21IQZWiSzbpMvHeMhc0S4dQIG0WTkb6j\nzFdctFA/68UMBw4eZ80oozo6khSgaYtYpsvGxg696QTFjU3e/u53mP/kOv/sH32L219c5utvvMrS\nzDznDh9DF11Cks2J42OUp2/z+//Pv2Hq0l3+l9/4LsGIzNhoit6JU6xPf0F6pJvbd6+SnX7E6bd/\nD9sKc7tc5N/85TsINY83X3uR7//u9/nx++9w4tTz3FuY4/y5b/MfHq2RDSbxUiEyOzZnzj7Lyt3H\nvPHaa9ycXmJoOEpnzyiPb9zk5YkxpmbLBBaW6B9L8tPrGcYDFSIHDjD12QxHDmoIoU6u3X3Kyy+O\nknUizM1s8tq33+Kd23N0uhKdz7/AF5emODo2TrNzgs8+v8gLX3ubhUyJp1tlvvMrr/LuJ9OUUr2c\neOvb/O0HHyKMTtIYGuMPPv2C4EsvsZqr8oePH9L1wgU+unKbtVQn2QM9/OizeyhHjnO77vC3jQbh\n02eZvr8EagJ9dJw7dx5z5tVvcjObYyNT4/lv/Ao/+eQanUOTEI1za+oRz73yGh99doVQRwJJCHLj\ns0+JHR5j5vIUh6IRTh8/wSeXrtI7foDczDyF1RXMRonOeJTTB0epGhbd/d3kDANP8vDcJoouE5Jg\nfWGG58+d4uadWyzOzGJtFSmtbbE4+4QjfQeJdvTQ1ZfiyDOH0YJBVEFhZekpiY4kye4B9GiUpi1w\n/MxJlmaeolgOmiSj9PT79GbFRfQkBEEB0UVshQeI7Xi/th2kKOC4VqsyFFsg10oJYh8DeFf3276t\nZWwhePsuAwh7TN8vgaJf6vrmHG0DjT1i1R4zmj3QdD0//s/zdnW2+xcMbUD0SVp7/tb72+KO4+z6\nX7f2vtuS9ovaPfcx2Cc38lqVaMujWhZlgsEIouTPjx3H3atqvXbr2T+XZRHRA8F1kRWZgB5AkxW/\nkm2FRgC7c+j9pLoWU863z9wdzLcWGfveC7nVmnZdF6k1Q5aQwfEQXRvRsbg3fZvFtXUUrZNqCWQx\nyOnTz7OzWUCRNSQRbLuJpsm4toMk+gEfoWAAC5uG438uJES2NrYwjBqprjSxUAjHsqitbfP00Qx3\nHj+ka2wEr9Zkbn6BnXKZZ8+fIxFL8MyzzxJIJXjm2Ekmuvt556c/4bf+h39BKhhjeWGBRrOOJQkE\nQ0HMhokeCFEtV5BlBVf0CIUjHHv+GX71ze+w/PApD57MYgoOXR0pcvkifh6zR7VSo693iMXFFXq6\nO9ne2qBYKFEqlgnpARzXxHJcBMlG12U8HMy6TFdnD329fRg1g1w+R8Nq8nv//H/6hwPGn3zx0x8E\nQx0ocgwLDc/VkENR1jcWWV/cRBW7sEQBQSwQj3YSiRwhoA3StCxqlkGmtMP61jb1soXRcCmUDXKV\nKo2SiWdCOpWit6eb4f4+xkZGSKUTJNMpGpaF6TrkiiVWNjZw8VjLbLNdzlMw65Q9E1ORkFQFZBlP\nVOjs6gNHoKsjxakzJ4kmk+xs7RCSRbx6E7NWR3OhXiygeDYhAZKdSbJb68Q6YpiOidVs0BGNYuYr\n9HT3kS0aJDr6qFdNUj3DlMoNAtEO6rJKXQuwY/sBDoIaZDlXxtAizO4UqYWS3C0VycViXMvm2ApE\nmC9ZrEdiPCmabAfj5ASVHQeKXSn0gUH+5//1X7FRzvAbv/U9ZheW+Pqv/yr5hsHQ4Un6Tp0nHNB4\n4/WzzC8s8/3f/9dcuXiF3/id77M4e4cXT09gyTqV9WXCY+NsP35MMN3JdqFKTY6RfP4CD0MdfLKx\nxL37GwQcnVg6QmZ7i6AssV4oMPd0GcGFuztbdBzsI7+cpf/0a7w7NUPomeNcX7eoD52g6QR4tFTm\nwLNnuXjrEckDRxFHe3nnxgMC3/keOU/lh9MZYq//E6ZmNrljShz69q9y8e4SJS/IwXMX+LMri2xP\nHMPo6OTPbq9iv3KB27k6H85nSJy5wNX5DZ44cZKnz/LujXs4vT3keib4+P4c+rHTLNZhammTyRPP\nMDu7jSdHUXuHufdgkfHRw2w2RZY2Njjxyrd4MjVPJNhN37HjzH18m7OHTlKpN3i4uszh11/izvU7\nbNRqJE5McvWjLzAkv3689sHHjL14ijuffYYni8RiMe5/cY03vvUdbly8xshzZwgA808eEnU8npQK\nFB/P0d0RJhHXeKGri61qgYpoEgu6BIJg2f6PZUAN0t8xgC4FGRjq48nKIt1Dg4xMHmSjkmX87FH6\nxobRQmmivf0Y5TwBz8ZsmtSrBg9vXOP0SxcId3SCoCKhUW00mL57l4vv/JR/9Eu/RFUPIQkqlmch\nOAK2B65g+qSo1rzTcR1s14//dNutVtpzT2cf8ao9991rm+7NPIVdAP4ym3ivSmtX0Xj7GM3tQeWe\nY4Z/331Wj/5pXxu4/T8eu3/TZiG3H8dtxTi2n2N70SG0Gcb7Zslfuh1xt9W9f8YtCECL2e14LiWj\nxt37D5hbWkIQRWKRMJZl7rK12/ulvVBxXUQ8P2VNEFqWtq24xt3DIOzeVxRaLei2J3X7uX/lXGjt\nY29R4gl+EpZjgyzJiIKL6zbYyq2zsr3KydMnScYTKIpAPr8GYolMZoFquUAkEqJuVDAdC0WR2NpY\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2v/tb/4AIXH/54cUfbOW2WFvYJpbqQwrqKKqGJYUwPQFLkPEkGUkTkHUFFRlNVFEDYWQ5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\nxQ2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AKJqk2myQimukUxpDZ0i100AMhxifPkt+bh4lkWZipkgiESYTkSjE8vSbNdzaMSfb\nu3T3DjmuPeRP/uwHyK062qjFX/xf3+W/+uoVRiOd9p0n/M+/+XVqjo5wvM/v//JVwrk0HO/xG7/8\nImdmznLw/nf4jW/eoNr1aD67wzfeeonPnm0yG5G4cOM83/3ul7y2LBNKhljfrHD7wgUI+9y/+5xX\nrpxh63DAYFjj3PJNfvDpPSZUlanzi3zne4958cwYY7emef/7m3z159dYPxziDQ64sVbke588YDU7\nJFIM8/mdZ3zlQpqd/ognT494/fXL9DWfpJKjZdZpeyZTxSRv/NJtrHablYklqm5ApVbm9str3Hte\nJnc2gppX6Q0kpidnafY6HDd1XF9DcSV6roOWTdKo1dAyY6hLKwSmTSZdoNYoM52dIhKNM9jbYzwG\neqdBvdVjYSnL+FicUChKpXmMHZSZOpOiUMyjhj1q9QY7O4cUxmeoD11OSi26HYsnj3bR20P0jklE\nG2Mw9Fm9WGTt/BzWoEsuPUa3O2R7a4/CeI5wOEogKDTrNT7+9OPTkXjLZWh0OTluks0XOS5XuXLj\nLP1+EzkYZ3Nnh+JEjmw2ztTUDDu7R3iBwM72Dq7jMT6eJ5VMEo/HUVRwbZt4LEIqlWF/bx9JkIhG\nFRYX50mlUtRqDRzH4XBvD8s0ET2fRDiMb7sMewMq1Sqdfod6vcJScYEz03MMLZ2T5hG1epf/8O/9\nGp989ojidJHVuXmePN2i3elTb7ZYXj2LbRgsFKd59nyLl29d5/LaKrOZODvbm1y+cZ6JQgrT8jku\n1Vi6comj3QqyomKYQywjYH52lmwyxoN79/CVEKlinna3yzsvv8Sw0yMcjpDOhglpDquLK9z7/Dlj\n2RjFYoFGr0a1X+f8hSWK6TH++F//MYsrF9AiUarVE5xRwGhk0TNcBsMBpuNx5uw8UzNTON6Ipcur\nTM2Os7N7yP7xIVvH+7RcA0eVefH2DeJqiEG3y7mlZe5+8TkQ8OzZU5aXFtD7fWqVCrIk0ep12Dvc\nZ2tvh3QiwdHREbYzOj35CgFeEBCIPqIY4HouqiYhyzKu49Dv90mmUgz6fSzLwnF8FhcXaLXajEwL\nP/BOBygiCpIs4HkeSMJpWhoPTQvhBwHhiIplOaiKijNySKViJBIJrJGNgIRhjpD+3yqcIGHZFrbt\nomkKkiDgex6e7xOKaPRNnUqpiufAyHZAEEmnw4RD8I9/82fIM/7yx3/4rVKzzs5uDz+QSGeTOKhY\nKCwvjJHLp1l/WCGRzmD5LTQpQySUxQlslhevkkqEKZUqKHKURETjTDGOFo4TCtJ4dkA4kuBgv0P1\npMVUYYZKXebksIImBPSaOvZI5Wi7zNqFObRQDDUS4vL18+wdltkttZFDCtPLZyh1hqw/OkKvOxid\nLv3mgKmpBbJTYcaLWRxLOTX4JRlVkxElif3jE9aWp4iFVaZmJhgYBmPFSQJkBFGjZxqMTxbpt1oI\nosDqZIHimSwDu8/Bfg1ZDZAUmZmlcS6uFRmZA+KxMPpwiN6zsCyX/tAkm84xMZGmUq2iahFcU8N1\nVRTttKohSVCvD1hazjPSu4znshQnCuxubtNs9jFNg8rREWFFIRJx6TTbKISQBYiGZTLJPLZh4AsG\nsYiM7ypsPNhm8cw0siYhygHxTIzt3R6mLRJPJDH0OqIAkuTTH1hoUY1qpcL45DS1RoeQEmXQHdA3\ndVwsDGuIFtMonCniCAZaJMTG3gErq2cp5hLUSxVi0RjN8oBCMoo1rDJonGCdHNJ8vs/2F094dzHK\nn3//hzQ2H/Hb787yf/7lD3jRc/gnf3uFWqPLXNDlv/i1JQZBjMnaBt/8+jXWt07ItXf42+/O8Omd\nDsvROi/cXOHTT56zNiMxPV7gzocb3J5R6Xoijx5ucv1KjupARt8pc+2Fcb7cbhK36tx4/SX+6v0n\nXJk5Q/JsgR/8cJ1LyRCR4jh3P3/AO69d5+FuBbFe4uLtSbY268SsBi+9eouPf7LNpbyGO1lg4wef\n8+atHJtNC/PZFmu3L/LeTw6YzIxIzc7xySdP+cWXlvjOt+9zUDdJnJlm61ENUzc4lx9n+8ERIcOj\neD7Ps2GPO4/rqCkJQZNZnluhWx6w0e0ziigEQxdbVZHCAka/j4RKMhfi8juv4IY8PGOI7Et4kRhy\nOIT17BnvvnCT9TuPOXv2HP2BiYbFoG9gdDzEiE9MjDDSBSLREINBjxdvvUDpsIU5lFg5t4Q16uF5\nBvPz82xsH5OZmCZXyLCymsfuj7j/6ZckE2FK5TojJ6DV6BESVKaLkzSbDUaOz8UrKzRrTYYdk5Fu\nMLswgYtBrdSiUT7Ct0Ef2MzMzRKOBghCwMbmDjsHZRQ1iuc7JOIJVFUjk0nR7vRYXFokmUrTaLZ4\n9PAZ6UyWcCyKYZoM9CG6aZAvFOgNh7iujxAEuM4IyzIRFRndtIilIxSzKS5dukTPCfjy8UNmilmW\npybIRmQ6hsn2bom5YpabN6/x8Wf3KBYnqTcaLK8tcv/uQxYnU9SqZSYKWS7OLFCuHWH7Mjvbzzm/\nvEj5uM7mRoVGtYU1MpmYzFKvtknGYoiBz9azDcbyOcqHLQLJ4dPPHmKZBpvPNlDiCuFUiEQyTLXc\n5drNC6QSSSyvQyYdod3pAhJaIJBSVEaGxePtTVKZKBfOr1FutJFVlVarTTyXQNd7TI7n+OVfeJ05\n0SXiW5xdXcbyhpw9M8OFhTmkgU9nUGaxOMPh8SERAb7ylbfRwiLj+QSLc1O4tkW5XEZSFWLJCENz\nwEAfMDD6xFMxtIiMYQ7x/ABFUvBtBwGfRCzFmTOztNstRMEjGo3SaDQJR8LYlo0qq5gjA0MfYbsu\niiqBFOAGLkNDPw1SSQKyqoAo4jo22WyaAA9ZDJBRsMxTL9o0LYIAwuEIjuOenreHFkIAICCrMrZl\nnYaDf1qV0iIqHuBYLrIi4/kBgeAjiQGSKPE7v/UzJMb//bf+xbem5yaIhGJ0Wk1G9pBEMk00EiEV\nieCKApZv4Psy8UiS+kmHeCxGEAhsbR5QKh+j+Brf+OpXGbSPGA6alNsD9ks1+t0RWS1LVEihhKLc\nffKMpblJLH9EtdkiPzFOGo3aTQAAIABJREFUIh0nEhGZmJzm/qMN6rU227u7RKU481MZ1i4sUm8d\nMtT7lCsGWspBlRRaHZ1IXCEzpmA6LjISA6PNzduvsLu5h2P4qIpGt9MmmUzy9NkGyUwGWQ5zcnBE\nJhRHVDU29p6T8RLIoodh2owlVSIxkbIZ8PzJc95++TZGp8r8Up7JpTyq4BHSZAxTJBFPMOwadKsD\nRN/Fs2V6eodeR0fSfCzHJp5Q0IcOmqZSK9cYy8doNLr0+n0isSwDS8cVFCRNQg4LeIFHIPlkk2Ea\nzSHjxSU2nm+TG4/zZH+fsXiSylGZ2dgkXs8kPCGiJRUa/RGlUh/RlUmFAkRpiKREGfRMBs0hU+MT\nSNExHj7aJJ7I0u3rdC2dljXEHjlMT87hIVBplgjHNEQEbNun1+3Ra7SRBRkEEVXxUBydYjhOu1nl\nn9+aQ1Udms+a/Mu3U2i5gMrDKr9yQeCVW4s8/eAJr6/muHZ1gTsfr/OV6QRBKsXD9+/z9ttLtGyP\no+f7vP7GNHU/jl094cV3phh0FFq7O5ybjfPF4y6hoMv8+RX+6sdPuTlukpq/wnvfe8Ib82lGk3l2\nnlZ4+93zPK23iJYPmb8wwRebJ+SMgOKVNH/zww0WMzq5xTk++/gpV29foy2kObr/jNs3Fnh41MA+\nrvLCGzd4//3nvLYgYOam+Ox7j/n5N66wZwvUjhq88XMv8+fv3+FiGuZXzvPBXz/h5s15yo0B3Vab\nIh7llkxqMkPHrPJ454CVmTOszq1y98EmY8k0L751g7btU5i7hGkY1JodUnNnyOdzDKpdVtYmCcwh\nc/NTTCzOEhsP4TX7aN0e8uY2H733feLxGJfPL9Pq1YlHihzv9HC7fc6dm2dy4hLddsDW1ibxeJ73\n/vpHnF2apdsfUD3eZTybYW5mjt2dAxKJJEvLs7iOyePHJzx6sINhCDh2iIf3t6lU2/iCT7VV596T\nTZRUFtczwVN48myXlm4QyBKCJ2EZNo7pkEpkmSjkkRSLX/mlN3h07znd3gAtlKXe6TKzMEan08MN\nQIuEqdUbjEyLxYV5fvTDD06rNbqBpMgMRzoIAplsnv5gSOmkjON6JKJRQqpKPn86ndpoNwhHNWzT\nIzADFsfH6egDfN/kP/7Gm7wej/DDLza4u1tG1BJcXRkjFAmhplJcuHKBh/fu4dk2ge/y2osXSCYC\nerrLlw/WEcNhJsbGKO2XmZs6y5efP6M7NHAEm1RUY2To6PoIfWRzUKrQGgzo90eYuk65XGN8bIzF\n+UlefekKkiSz/ugJrm2zdn6NR48f8OThc777Fw8RZYVMJo4wsvG6Fj1jSKXa5bjbY3l1gU9+dJfp\nmQIjy2b1hTV+7u2b1EsV3nn9BTaf3OOTR1ucuVRkKqbw919/lXtPntNvd/hvf/vX+fZ7d1gvlUhM\n5ilX22w92aR6UiKVzrB/WEXW4tQ7fQIlTGcwYDgcoCkKnutj2yMc10aUFXw/wDRGCEFANpM+5fPL\nEoPegHAojO+d7haPTBNBDLBsi3gszkDXQQhO9wSEU360JImn2FBRIBAEBElAVgWEAIQgwByOsEwH\nx/XRQjKKJiCIPoN+D02TicejJJMRrJGJ54LjOCRjEXyfU/9YELAsC/enhWNZEfDcAFVScCwHURT5\n5//Jv/rZEeO/+Iv/4VuqphIJJ+j3esydzSNIAlgqoudSaZaIpWBiosCT+3XCaoZiMYqsaqyvbxGL\n2aTCYWR8IhGXqTOT7JaqzEzNMJGZxHUEKvUGk7MFsrksptdiPDdGu9vHGBrgC9SaA+JKlp3SKWZv\ncW6OarXJueUlKs0Kju2hNySuXJnnzMIqrY5Bvdan2W5QOR5yUurijnQGuoevGDx9uEU66aHrJj4S\nQ33IhQtreL7F7t4ugW+zsDhF3zU5d2mZ+19uMnN2BjmiYFg6A91nJplHFx2e3tslGi5g1xpMZBMc\nNCw2H1fIp+Kc7HdwLZNUOIMkOggCLK7MoEVVAnxUTabVGBKNRhkvZLB1hUJRQxI0wtE4uyc1opkQ\ntXaPVDpKNpvAdwEHUukcvq1QLdfp900CN6CYy2EYQ7RQCFf08VWZRrNHOBolHIVUTsFxXapVk1i8\nyO7hMWFNI5fOodsBUkgiEYngDw0kL2BycoLJqQkUZBj59Np9kukYYTlJt9khoknMFKeJaBHiiQge\nEIREYAiBRCikEe5Wub6ywJOnJRKDOr/w7hUOn3WJ2iNee+U8Hz/Y4mw4TOFsns+2+8zaPYqLU3x4\n55CzUwWyC8v86OMdbq4skThT5N4Pn3JjLks/FOeLH63zwpUxjgcCj78s8ZVXl3hS1Qm1DW68cJHP\nt/Y5mw44f2uejz85YDnZg3iWg/sH3JgPMVCSPPhynXduFmmOFMzDY156ZYWfPDpmLS1SPL/AZ18c\ncmNZgEyGzz56wpvLCpstifrGcy6/scIffXTEmcwMsYVpPv/BHd66tcTAitI4PuHNN9/hvc0jDppV\nDkYD0oHPz59bxFQlfvTZXZamZtk9bNEb6Iwtnudg/xBD7lHpPmF6OsV++YDp1Wu0T0qkEJAEgQAL\nxQ9YnSgwLB+iHDYZPj9iZA6of76OZhtMXl7i4YOHOKMhv/yNr7G9X+Pf/PG3OZdLc21lnv1Kj7Nn\nz5JMxvADh2JxDNfzGeoOputSKncYz53FGvr0Wl3KJzWabZ1yqYVhukiiiiSKpLM5+oMhE4UJ9IFx\nWmHRB6cQfkMnrJ3+RCbiUQLXI5NNIMsa9WYD3RyRSGYIiQrtdo/BwKder6CqAYHnEosmEZBot1qY\nuoEzsth8/hzf8wgCkCSFkWWiKBIEUK1UuXnzBp1OC8swkRGRJAHdGJDNpJnI54gqCi+98jJ7+3vg\nQX5qhidPnxKSwuxu7XL24mUe7NU4qRxTzCW5+2idQFKIxmKY5oipyQKDlo5uG8wvLvPhjx7RNyx2\nnh5w/9E6R0cN9nb3KEyOU210CcVUpidmOTgsIYgisqIRiqgUJsfo9XWGIwtXFLn2wkUsyyQUlfnu\nX37I0VGT1998EcvukZ8MCCSLaqtJJlvg4KhOIpmlXbfptTuMfIH8+BQ35ma4vrJMszugFVhcurTK\ndDhCyHPYOThg5eIq+BoCKm9dnGc+HOXW1DRKNMoffvs9Gn2dhZkCr75wlcWpcW5cu0y+OMfdBxvc\nunmLUDjCs619TNtFiYQJAo+RqePYzqmYBWC7Hj4Cvh8Qj0VIxGOYukUqHafb65FOpTBN+5TbHQ8T\nj8cRBIFYNEav3wdJOt0wFyUkUUQURWRFRpQFHNcBBATRIxaNghNg6jYj00MLqciKiiAECCKIgoCi\naCSTSQa97k/BHmF810dRTrM7lukiyyrpTBpjYCDKAdlMHmNggX/6MxAKh/ln//Q//dkR4//9T/7r\nb2XzWUauSbvdZnFxikw2hd5zCGwR27MIaSN8Jw5+DgmJWDzM8ckJqXgYGZMbl9fY3dkF1UHQVMZn\nZqmWWhwcNMim8ywurnLv4X2i0TRWz2bkqqwuXyAajVKvVLm4skZr2OG4XGG8WERwfGzbIZOIkM/m\nWbywgJbL8tHH93h85ymO7xJOx5kqTtGuVpicypHNxli9Mo3nqzTKLcyhS6sFrmghCgHtZp3VlbM4\njsnsdJap2TTn1mZJhmRWL1/gqLSDLEZZ3znh8toqsYRHo10lEUqQEiJI4TapiRyXL1/D6EKnPuDl\nF16hWj0hrMnIakAyFWPvqEqnO8R2AnzPYjjwiUSiiJKHbQqsnCtSrRgEooCqxdA0D01SGcuGmczl\nsfsO2xtVtGiEJ4+2aFS6IIiEkwmGnRZTi3O0mnUyc3lKrTrF7AyDQZNcNkrgjXAIQI3zbHOXXDZL\nPj2GL0l8/nidg+My55dWGYsn6bU7ROMRTipH5GJpOtUysiSgqCJGxyMkKaTjSQgcInEVLxAQZQHX\nkxG10wCHGpapnVTIii4k41gjn0szcYLYOM/Xd3n1nYus13T8ow4X1tIc2XmefPyYV27M8HG5idIz\nufHSbe5tnpDrDbn85iI/+Pg5l8YmCE0u8eHn21ybi5C5OMd3v/uM15YjhM4u8ZMfr3N7MU0/lKS6\nsc2Ny+d4cjJCbG2xfHOZ739wxIViiOjaGn/1wUMuTqhI8TT3Py/x4ppMzY/ReFDh9ms3+OhpBclo\nsPjyC/z4w0fMKT2S84v8+V8/45devcqJkObk6RO++Uvv8P6PPuJCQuOF127z7b/5gnPXzmP7EXYO\nyvz6O2/xcGcPr99kbPkCk7kpNsqH9FyJnlTHT/i4WpSsJCFmIuze32fp/Fn0RJhS5QivUmHUMYhk\nNd5996s4jolvOkwvztJyLD7687/CqhwxOZbh1ou3efDlPRr1Fg8+eUwmf4b1R4/J+T7TsRjpqRyH\nlRMWFs5w5959tjb28TyFRtWh29PxA4lKrUaz3cV2fWQ1gm15XLi0xvrjZ5imhaGbjEyXW7dvMHIG\nnD2/TNc0mJ6bQwh8Vs7PIkUEoqk4Q3OAbVucmZ9B1w3GJ9KkMxnW17c42Kqxv1em3mwxNzeDa9vg\nCRjGiH5vgCxJP8UcuqecYVEgncriOC7pdIq/9WvfRJEUIuEIY2M5zGGPpYUFZqYm6Q97pNIpNFlm\nLJHkyvIq/8e//Q71ThtPlnEdG9fzKXUNEvPn2DjY5vHOAa7l8JWvvMWPP77H6upFNp9uMNQdQloE\nwYZGp082FuOk3uMf/+Y/otru0Gw38JGQ1DDHJ8d4nkciqTI0bGzHJxxVGFlDbKfH2qV5LLtPp27g\nex6dVptKtUMyI9Fod5hfmmV7Z4dux6BSLiN4AlPFKcrHdc5fniCaGCIRZiS1ePPqFR482WBtJs9K\nLku9bvFoc5NsMsHQ97jy6jUi2SS9SolnW2W0GDzYP2BpIs98LMYf/OGfkr+6wlgCZgp5/uTP/5pu\nELBfraK3ayRl2DspsV+uMhiaCPLp42VkGQSCj+8EBAQIsohtuwS+TwCMF/IIQcCgP8ALXAaGgSAE\nKLKMKArIosDINJElBdc9FUbLdhAFCUmQThGYjo3t2oiSgCAKiIJA6KeeLx4Y+ohwREXRFMyRgaIJ\naCGFWDSE6zr0+wM8x0UUJK5ev0mlUsYwRuSzeQYDHVEUmZmeZHFhnmq1hiZryJKMoZuomoppmvyr\nf/n7Pzti/D/9we9/yzTaxDJxgkBhZLbwPB1NjeO4OjPFHLInMLAMpubHqZwMef7khGhcxbdcLp9f\n4WD7BEWJkCjEWd/cYWenhCZGyKQKBJJAo9On1erz7PEm1dqQTCpLt9WgUjskM54BKaDSbLJ6fhnL\ntwhFIvRbnf+HuTeLkSxPs7x+d7Vr++pm7m6+u4e7x74vGZGRa2UtWdVFTy9iRDOa1tDwgIR4QIwa\nwTQlHgAh8QCDYNAMMEhMF1MzTXdXU1lVmVm5VUZmRMa+uXv4bm7utu9m99q1u/LgBeJhnqEeTPZi\nulcy09X5f8fO9zt06m0E1eHhNw+ZSAVJRLOs7RXAEblx4QIv1l/ihQJIvoCCwvZOm/VXR1h9l3Ao\nRHoqiBIJ4I5GXDx16vj0noqDIBKOxAnLIvnxSXpel1QiiahahKIq2+v74ORIy0k6ssPq0izfrO9Q\nq/XZe6VTK1TJxjTufvUNE9NJCgdlZhYyiKJGIKzRaHdIj8VxbIeAJnFUbqMoMr22iSB12dwsY5g2\n1XqLUFgkngihBD2GpsfRUYvJ/DydRg9jAKlcGllR6XWazM/O4DhD2t0WgqSghVV2Cw0CEYVapcX0\n5BTtRhfPk44btXyPcrXDUa2Nrgsszs/C0MAZ6IiCgKwpFA72qR1YfOedt9CiUZr9Poofo3xYxzSH\nZNJhtnY2QBCplBsE42marTJCMEBcDSGoYVZScZyoS9H0mQqH2CxZDM0YE/YLogvzPLy3zqmlGIGp\nOT76/Clvn1+iFhmn8qrKrZsTtAYezY11zi8EKAxkBkdDVt96g68OD/F29jh3fpa7+zZTGMzfuMnn\nd58zE1MZv3qRJw83uLwUp6MGWfvmgOuvzXH/UMDrjTh37TQf7TUItzp8793r3FmvsxC2yE5l+OKT\nfV6bSzFKSdz52QPevXWJ3QOdWkfgzffe5sefPeFU2uTM6im+/uohN6/nqVgymxv7XLu9yKcPdlBl\nmaVTi9z96AHvvnMbw5f57ME+gUtX+OvP79CWHSYXZ5BVl2HDQur7eAGbyWSS8ZkJ8pkkWd9BEwQG\n5QGio3BU2Mfvj9DCEUK9Po8++oqPHz4ml8+QV2Si4QQf/OTnRFNR8vkckcQYT7ZeInsesj8il0kS\nmk1Q7TTp9j02tne5fvMqrzZKxBJRqvU6riOwunqW7b0D2p0uY9ksjgfxaIZBt48mBwgEVKLJMPVG\nlVKpQjKWQvE9Ts5Nc3Zpjvtff0M6liAbi1ItlsllJ+m0mqSTcWzL5PSpeS6cX2ZyehrLNrn1+usU\nCgXanR4DY8RgOMQ0LVRNYWRbBGNhBtaQaCKOqAQQRYmh0Wdj4yUBLUQwGOXuvXtIso8iiVgjEwQY\nGAPanTaC4+GaFo3eiNmlRSy3TyKVJBSKoQYVyp02Rtek1moTUCAUj7K8MMP61gaRqMbe1h6RSIhm\nu0O73WFvv0B+OsuDB/dYW9/EwWcsN8b8iQUqjRrZ7BgSQfYPCti2SygcRZAExnN5VNVnIjfG3m4V\nn+M+9enpLDeunSeVStDr2Vj0aXbq9LoWrhkhoCXY2jpCVoLEYx71YpNTS7P4uk9YTZJJhjD6Fj/5\n5A4jxeeo2aR7VOHpV3eYG08TkgWiWoxipQGmxNmVBZxenxNnVzBtn8NujULpCFmCxalx2s0ughik\nUG4iKApj4+PEE3EGuo4iCxhGH9/1kVQFx3GxbRctoJKIJhAEGAy6jIxjZHE8HqOvH7sYAgIj00SE\nY7xx3yAYiaDrBpl0hl6nh20eu4iSIqPI4vEQ8BsBFwQB17VRFJmRdfw5URawLBdBEI9XnBwfx3Jx\nXBt8EXyZUqXC1RsX6HVbtJq94+tLAplMimQ8zsHeHp7nYRgmCMfpb9vx+LP/5LdIjF9s/vRHyA69\n7ohuc8TMfBgtJBFPRNE7Q4btEfnxeaSIzPbBOpsbPa5cuMpQ7xMMhqkc7WHYCpKaoGO0CQTDhIMh\nzJHF1laJWCyD4xgk4llGQ48f/O5V9l69ZHZ1lnQ6Sn5inPXdIlElwUQuRU/vMJGfoNOoMDM3zXQ+\ni6yJ7Jb2kdNhUtEUl84vsLowTjQpceP6eXzbJB1XcBFBkhm0uvzbf/Iepy4k6I5M4uEQerdPdzBA\nU6PUKg329ku0yk0YmaSzGbqNNpPZJK1Gl7WNQyZTcQ4bLQrVKv1GjUs3V5maCCNG4my82KVb7+BL\nPlOT47T6fQJBjZ2DMroxAl9EUWUSqRiyICNLCrbrEZIUTiyOUWuYeK5HQJW5cesM2WwUfI1Suc7+\nfh9d79NqdYmnotieQ6fTIJmIQ0BGdX1mF2Yp7xXIj09hyUN8VyGsRdjfaKJJGtlkCNG3kcQQ9UaX\npaUFshMTBFQVTRERJZVQVOOwWSWZiRPWQgz7A2KpOANbp9fqMzaWQpI9tICCpgaxPZ9AJIyl2xi2\njesriI6IL6kE8LE1kbIrIQaCrO1U0T0VpbfPwrl5PnrcZTons7g0wWfPC7ilDonxGfaPDrl4QiI4\nNsHd+xtcmY7jZiP81V884M3lGNJEnhdfvOCty+NYiXm2NjZ56/13eLhbJx2Is3j1TT794j4TRpn0\nyQn+4m8OuDAj4c4ucveLh7x7eYpuOE3hxQ63L05THtp4lToLt6b58lmdJUEneinGL36+y+WlEOrk\nSX59f5MrV2axiVI72OE7P7jOFy8a4A6YfvtdPvjlrzlx8zJtKcw//6tPyb79Nt+82OJ+r4F6/Qof\n/uIeSjqCGNBolOr0Sg0812Q1t0DHHDCeSuKaI3QbHn39Eq91xOR4nv2NPu/93nd48Gqdm69dJC4H\nmcjG2Nw8wHZNjHafftMgF4sy9Gy6ep+O7WMHfZqtFrPLczi+z8yFGfarNV7tH7FzsMv80jIf/OIL\nlGCIcqUJOEzNzKDbPWzPRFUkMmNpSqUSe3v7OLaHFtRIJJN4gkM0GkSQPKrdJs1Wi4tnznJ4WGSv\nVODs+QvU6y2K+3UM00X0LJKJKAtLWexBj9FowH6xydxsgsWFFAcHBwyHNtNzcwwMA5fjZKxjO4ys\nEYIoYFk2+D6xYAhZEunrfXrdHrVqlYsXzmDZQ1LxGP1Oj2vXL9Pr9RiNbM6ePcPG5g6VVhfdNIlE\nQpQKByRDIVzLIj87TTAUp6N3+b0/+AGdTo+9wh6ZdJhBv4XnQjQWplFrIQcE3njzDSrlA2RJZTi0\nsawR3U6HbrvL6uoq9XqV8fEMjVafsVwac6SjKBqpRJq1l/t0O0OarQGCKGAYBiEFintFfFFmfmmC\nmakphnoPzxOIJ6MoIYFCoY0WhHx+jPxcFJQIP/0/H7JeqqDbNj+7+5yhCubQ5Aff/TatagMbl++8\n+xZHhUMWzyyzvb2DFs2wv7VLJBvnztN1/s3f/VvETJe+MeCn99YoFKuM9BHFXo3x8TzDkY4sKcTj\nEba2dujrBo47QtHCCAh4rk04KBFQIszPzlHYLyJLLr5zvFssSjKu56LKKqPRiICi4PkiAS2CL/ro\nukkskkAf6CRTSdSAjId7/C6BZVsIPriWc3w/22c4NPFc/zfVjAE80fsNlEohHArh2C6KGsAcWnie\ny9R0npXlJQKSytFBCdc9/l6HZp+NV5tEQiE828bzXASOA17RSIS//x/+FtnUP/4//usftdptet0O\n0bhCfMwhEIzQ6tSxhxJOz8EyYHt3m+hkGDkYZ3utjIRMudKlrY/oDyVMF2TNYjJ7XEvXbI2IxMbJ\n5Wa4c+cuzfqAdqvF7MQcrwpFdrc38WUHw9aZTKVwBItBx2R95zn2oEw8EWJ5fopysUBqPENoLEX9\nVRGvrhOOZ/j06Tccbe/jNrrMzoUYy0TJzaVwBIlBvUImrlLr1ijVdNqVNuFQgFbHptyoYDsWizPT\nLCzO4Igj4lEVRRV48HiTpfkFQkGZXCJJKp/B9yQcyyesKhQODtANgf2tJpFwACGgMjT7DC2Zbr9F\nLJbARiASDmJLx0GvSrV2XK9YG6IKDqI6RFKC+KKD6MuI4gBzOGBuao76UZ9MMozg+UyMj6HKLpp8\nnHgUAwIjf0S9VqPa7pKMpQiLGu1mjZiWwDJG2CObxRNTTIyP4dsBRqZLXA0RDyTxPItStYKiStiO\nT6VSJpPPUy5UmJ+c4NXaHsFgAGNkUOq0cFyTkKYdPxA22JZLJBTiqFZmcW4eYzRE1/vEcwl2y2VU\nRaM5cmi2TE7OT5NIy7QP+pw9PcWOYSN0dVYyKnVHZX2tzB/84Co7pTaqWWXh3CK/vtsm5zRZWF3k\nwy/2OR3rML0wy2df7bI6BTMnV/jgs8fcnk7QTUR5+vgFty/MUq43KW1tcfP1s7xo9ImaFq997zYf\nfvKc82GXa5dP8dk3h6wEmoQmknzz5SY3zo5THCTZXn/EjesnWduXMBptbv9r7/OzT54QmPBYuHib\njz59zPR33+LICvPjT55x4tYbPNk55PPNFudv3+LPf/ol/qnzTCdS3Cu8YvbCWcqNBjnNYnY8R6sx\nwlMVTkznOVg74MrVS5SqhwSjIdLZFNLQoLLZortf48LpU6TnJP74T34f326jmQ5RRaMxcikc7DM9\nm+b2zdOYAYmjno2khIiNxcnlJwiFHPTBEYooUGpUsSWRUDxNo21gOyK27TMcDBHwsYcKuYksh6Ua\nrU4T35fI5aYoFg6xbY/V1ZMYQ4Px/Dg7+0XavRazq3OokQBXL57jjSuX2DkoUio3OCxVGZoCyViS\nYqV0DGRwJURBo1qqsL1ZJz+exhwOGegGsViKE0srVCp1HNcmEomSSqY5d36Fqck5Msk47XoXz3EQ\nxRHT05MMBy6maSIiUDwsEo6E2d07QBVVBFGh1mjhuD4Hh2V6/SHBSAxnNCSTTCIrYcqVKsl0lEq1\ngm1ZfPvWBeyhQ0u3GA2aBAPg2B4egCchSz6i4uHYJiDR6drUm23wBSKRICcWp+l2q+QmEviYJBMB\n0ukM8VgC15GpN8vE4nGa9Q625eD7EA6HuXjxLDu7O+jDAZVqg4XFKUTZ5vKVM5Qrh3z50Q5iUGBl\nZYUZ1eP0ZB410WcpM8HC1AKy77A0t0DbMlg+c4LDeo3gyCWRS5KPZPBbOsXaPmdXFmjWOxS6Bsrk\nHO26zkcf/pLWoEcwPsbC9Awdo48Yz5DLT0JQYtTpoaoBRpZBp9sFwSeajKFF4ty+cYW33rzJ88dr\nLC3OUquXcT2BhYUpel0dz4XeoI8kKwz6OqGwxtTUDN/+1vs8fvwMDw9RFAkGNBzLYmlhnnL5EHBx\nfA9fOA5aiZ6A5/hYtocsSChKAFVVGFoWiAIj2yWgyYCPrhv4HvT6BvbIR5JkHNdm7eUmh8VDRB9c\n7/h/aMs28TwfUZIxLQvH8/G8/1v9BP6jP/0tCnD9o3/ypz8KqRKeJROLBZiezyFJFkbfpVsbsjy7\nRK1eRI5ImDI4loBeN4hEJCxZxFEdZDXCwdEBN66fwXNsTHOEOfKRpBCbW3uoaghDt9AHFrJiMjU9\nwTtv3abTbaP3bXwvwNNn+5xdWSIYEInFg8SCIvt7myTH8hwdlRADAapViztfb1I5qnNmIkY6niAY\nmaJWMZAth6HbwfFt7K7FdG6cqWweXxOZnhpHVATimSiC6HL50hw3Lp1CUHzQBNYePUVUFIa2RXG/\nSbU+ZGpinML+Biem41iuyZVzC3QGIvfvbiGLLsFQEN12mVmYwJeOq7scx8cwdMIx8N0emqrgAKl0\nAmtokImHSWXDTKTHcT0F13EZG9OIaBqVYh2JEb5tE5JFQpoAvoAaEJmdzdPpdPAF8MMhYpEE1sim\n2Wwxm5xA9iU6zTb8oSdeAAAgAElEQVSnzy2ihUSajS47OwUEFPKTs6hhH90YYHoSm5t7lPYa5JJR\nfNUhHU/imw6lQomZiSwjS8cLqQQDKol4mmajT25sCkWRqNWPSI9HSQVj9Pod8C2UoI/hi4h+EGvo\nk9NkcqpOSJPYagmsZGTiMwm++dULri4nCSSnKRwVeeuUxUgYY/PuJheXBaqtGBvPXnLt0iT7VgK9\nVOK118/zpDQg6gyYvTjBnaclFgI28bkV7n78mLO5PqmZKB99ts2NmSTCVIpHXxW4/doZDpww3fVt\nLt++xNO6TaPwkpVbV/n4YQttdorcyhX+6ef3yV2+Sf7CVf7pz77EPnkBD4Ffrhc4953f4bOHz7jT\ngfz5M3z06ReIYxmyk+Os7e1x/dZF+k2d+tEhVy6cJ5cxqBweMTV9CalXp9RpMWpWkb0O0yeSnLmy\nhGvWGGkGjW6XE9lFqoc1fvnxHnPT88ydixJS23i9dXxRpt82SWlhiqUimekx0uNpnG6dBdJMZufR\nZYHtzT2GjUOy6RAePQQXLpy4yPZRlftP1lGUCKlUitHQpNNsI3g+YxNp9gsFvvvdb2MYQ1aWV4hF\nYnTbA7JjGfq9PrIqE41FUBSB+fk53v3OOxQOthBGFr7uMRyMqFW7OAjYHoxNZCnVynQGA2xLJqwl\n0Q0YDIYMOzZBSaZWKJKIpKg12hyVS1y8fIHiQZGxVIZrF89w+fwqv/+DH/BqY5NisYI5tAiFgrzz\n7m3W17dwHAdBltCNIXgCpmnSbDaRNZVgNIxhOoyNZ6mXSpxYXCIYDrK1WyAST1GttwmHUmxu7dGs\nNGl2euiWSCIWRBBVHE8mGI6zvX3E3NwUqUQCxxpx8tRZnjxZY2I6ysLSOBJDzp1dZWd7F8sSCIej\nZBJxrJHNQbEIvke71WJhfu74wGEf77RKkoxudEmmkkQSGo4j0Gl3adV1DvbbbLxqkJ+aZ+T2uHTh\nNFZ3iCAEGDp1EloYWUswmU3z4PkTKs0OWkQjo0SIRKMU1ja5+/IV+ewE8+PjnAglMJv7+JrM+rMt\npuJpPvjmOclzSzxdKxFUPOLZNMXDA777+hVmVAlfgEKhSL/bR5Y1bFcgNzHJoGewt79FMhEnEpYp\n7h/R75r4gkkqlcAYWPQHQ2RFIRwJYlkOjuNiDh1evNzAdmxsx8b3vOPiB1Xh0sWLrK+tYbsOnuAh\niCK+D6qs4nkeI+sYsYkPjuNg2R6SJBEMBvA8F1VVEDlmYDuWS0BVEATwfYHTp5aRRQl9MESUFFzP\nw/d9PM/HcT08HwRBRFGOU+GWZfFn/+C3yKb+4G/+8Y80UeQ7797CMAck0h5mt4/VhnQyiRaIcFA9\nxI8KaCEVu6MTdCGTD5KeidKuS0TjPv/+v/s+g26ZenOEZUr0Wh2m8hkCARVFiVCpNjGGNuFQhG65\nzf1v7hHVVGJhldzsFKIAay9f0qiVOHf2AmklSXZygkKhwuz8PNlYAl2wiU9GODOfJJ2O0bNNer02\ns+NpfCdIJJZFFiRef+8S37zaQImNaHd0XMcmHo0SCrpMTQVolqr47pDBsEO33+DcpVWqzQOabYNy\nReaN927w9S/v8N633mBza4PJsTGO9quoYQ1XULD6FmrEZ245S7VsMDm5yPb6LqGgwNJimtXVNLGM\nz3g0yqn5FZ7s7VMtdXEMi8sXVzE6dSR8SnWd4q7BzRvXaNUHOJZLpz1AlQIMLYuxyRw93eCwdsRk\ncoywIJPJppFcG9sZYgs2s9EEshLgwYNNLH/A+ESWnZ1DookEqfE0e60uNbuHj4fgB5keizIZDTGX\nU4kkNQ6POrimz8nzJ0ioIaaSUeqDLq4jUq93GBoOjWaLUFTBFQw8V6Z40CCaSBENRfFCGhNkkIJB\nnu2WWUgksFI+6fQiX374jBW7SXYmwN17DZZVg+mVVX76xSsuSSaxuXP85Z1XvDktEjp5jQ8+esTb\n16bpZSfYvL/Ha5dmsMNhKi+LXDk7zqbl8erjl1z9zmvceb5Ful1m+eYZPnpxwKQpc/Pd8/zq6110\nNc7i1bP85Sf3kE6dxY2P8d/+yy+JXLtNwQ/yz+6/4tR3v8uDQp9SVefSu2/w57+4Q1JLsbhykr98\neJ/M7BT55Dj373/B8pXXaNUbNEo1LlycYlxTebbTIj27wp2f/pyzty6yOt5mYSLGmcWz/PQnv2By\nfoZvff8CsQzIpk5C84hGJNLxMd545/eo7vepVvrYjDh3a5ncrEfhVY1AJEEgoVGuH1LumgRiUUzT\n4eioi11u89bsLAuJIFNnxumLDgcHfdqdAcmxHLMzSzz85hHx/AyNlk4mncNxh5QrB8QTUbrdLvWG\nRbnUIhiUWJibZdhtk4xGiceieI6LPhjQbnfRtBDvvHGDTrVEVPJZyk+wtb7G4vw8v/r8PvOLMzi2\nzaXzp/GMEQsL4/xbf+8NFMmgWDzk8smL1FsNhKBCq9skFEvwdH2H3aMqp8+d5cz5BeqDOu995116\njSIr+Uk+/uVnFIqHNJoNRpZNu9Xh1attFE3F810AHNsBTyCfX8AXI4TDIVx3iGF0+OM//kOuLJ/k\n6fYuLXPA8tI8ruPTbPV447VLpCIiudlJvrjzkELhCM/RycbyhASRhBYlrEpkUgk6XYPvf/999vf3\n2N0vcPrCOKoi8/3v/g7PH61RLjeYnZ8llgjTbti0ul0UBZIxhYiqEQxqRBMpqtUqvu9x/eo1fHyq\n1RpD02RsMsB4boqvvnxJr+Ny850lbn/7HIfFTVqNKlOrk2yX6uxv9wkmUtiM2C5W+ObpsXvRqrfZ\nOyixeGaR77//PltbL9jZ22anV+f86dPMBkJcu3yFR6/22K0M0O0B4bEobrvJq16TUd/kj/7O77J+\n9zG/vPuESlPHBxodHUcLEp3IM7u8Siiokc7m8DwHSVCQRIdgMEC3M8AwB4iCiOd7uJ5NKBLCtBzU\ngMbItnAd93htyfOwzGM8JQg8evIMLRTEE0FSJXzx+DcVBYGR7eAg4Xs+juuCC6osgscxr0EWwfcx\nBiayIKNIx9dPp5OMZRJUjko4nkunqwOgBQOcOX2GWu2YWhgIaNi2DYBtH7sW/+mf/ei3R4w//vgf\n/iiTFLDNHmoQLNuj0xhi6gJDB1xhxIgu8UyGfivA1pM+S3MpTM/isGzwOz+4QTg4oFepYo0EJDWE\nZ7vEEzFMt0u5ecTIsUH06PUG9Ns6kWgS0VepVDrIgTCSCJ4/xB25uD2fCyfPUqiXGHR0JtM5OoMR\nG2v7SK6A5DlMpfMomQSiIpDNxpAjLrVBAyUuYfV1Slt1pmdTiL0wUXmMoSVQKPc4LBeQPYlsepp6\nWyeohkjG4zx88YjV5SVmJ/O8dvM0hjlC7/R5+qJAMpPh5Yt1ZAXUUIRqq4IsKCyspkiMqbQbI+7f\nW2N5YYqL5+cgGKK4X0B2RcRonP2jJsIIPEXDG4Ii2MTDYRRF5aDYJz+R4sE3T5BlgUZLx5ckai0T\nT1ZpDlp0+wZqUDoOTZQqLCcjnJzOIng22WCcbqtKd2ARTU3S0XXK1RrT09P0On2UYIxoPEpuLEVx\n/xDZbfHamTkG1Q6K5REMaHR7LoOhQ6lfx+yaxDWN7shhaHnYpks8nmJ8YhzT6rOwNEV75CBFgoiC\nR0RTaPf6OEc18uMRNE/gqD4gIgtITo/gmRP0n+5x6/IsRWWCYaXO2fMzPG+KJPpNVi+keLDfI2fb\nLJ2OcW+jSc5pcem1U9y9v8eEZDJx7iQffLbOrXmNQXqGT35V4O0zSYzkDF89KHDuyhVaZoK/PjjE\n/85NHhS7/MWzIyYvnuXLjUPWaj2uXHqdn995RFVUOH35Ai+/3mBpdQEzoNI8OuDCpYts1/sclQ5I\nXDzH2tNNGtU60alxvvrgU/LxNEo4xOPPvubEzct8+cuHMHS5fP0sLx7fxdIH7O0WETyVfq9JINhj\n9UQC0Wpjmg1ahwa6IZKIjHNmbInuUQk5adNyD/jhH54n6LhkkmPUu30i4Un63RFLs0laLYfPf/WY\n6XiSkSPyvd87iRoIUJEdAqERM+kY56+tIEQcUskQjU6VQrPG1n7lGMw/7GOaFt2uwYVLF5jMTzM1\nPYXr6eiDIeawjzEYUqlUCWpBarU6lmWRTCWQJIV6vUpEU5gYy/Hi6SsM0yEUi3D18mVCkQirp87w\niw9/hq94pJNBmsaQk8tnMAc2G7V9TizPMJkZ59naLuVWn8vXzvP+e7fxHJvt7RKT8Szfun6R04sT\n7G7voIbD7B/UaLZ0wMfxXBzHx3VtREEgHA6jyDKT41myuSzrr9Yx9AG9zoBUPMPGi12iIYX9ehtP\n8lBwCQXCVBstuu0KmViSTm8E+KTTUar1Prt7B+wVDzmo1Gj3O5QqdSzH4v79h6y93AAELHuIKMpU\nKzUsy8MwXSKxOI1681g4PFhYnKFdqTA/N8ZB4YhKtcXAGCFKAs1mE0M3WFrME40Hqde7rL88ZCyX\nZG5xinanQr9XxxdM4tEM1rBEJpUgFEqjmzrhQITnm0fEwnF6+ohUJo0WkfAQqB6V0QIq4UgaWxB4\nc2mFe18/54OXj1g5ucSLV/sMFRF6BooWZXVpibGwxtAd0rU9VBSiqTFi0Sii4BHPREmOp/BdCaOv\nMzINfHdEvVxmZAwZmSYj2yE9FicWi2KOhkiyj+M46PoIAYHJiUmi0TCRcBCjP2BsLMfKyjLFo0Ny\nE+OMHAfHsY+nVnwUScZ3PTzPQ5RlZFFEQgDPx3F8fN9HVmSUgIplOzi2iyxI+J6HIImYIwvbGuH6\nLgPDwHF9JFnEtm36/QHWbwTYcWw893haFn+T3v4H/4rJWPz/VIH/3zcWPGamc/iCTqftsbNdwpNG\nRCdEZs5EETUHSx/RKnR5fK/M93/3bzO9fILSYZexTICnLz5mqNdpdPsM+h6Kp7B6cgU5FCScSrN8\n6iyCpHD63AkmpuNcf32exbPTvNgvUqxZbL0a8PDzItFBgvnlVRwtzn/8X/6YiD9Grd4hlMqQisU4\n9cYysZkYX37+kp/+7D6yFWXr5S6jrok4EvHaQzAH1FoN7j/dRJDiHBU7DIwuRrPJ925f5a2bb3A0\naPO0ukU4M8bIsIhHk1y5eJPD7Rr95oDixhOmM3FuvHWK8VMCa/tPmFqZZG7hDN/c30LwovSMEXd/\nvc3dr3ZRlDCDgcne3g66MWTl1BJyeoyJ2WWS2RThCRlPGjC/Mo4ryCzMniAczTA0QZU8jIGBLLuU\nS208P0B/aDHwbaSoRK0xpN7oILgKXWPI4skpzk9nWQkFOBdJsxTMoBBE13WKlT2EQIDuUOCzLx8Q\nistE4iI5TWVGk7h2YYW5bBbVdjCGDuPZBW6dexPJC9BzbGQvRH1g8aRcZ+QruPaxVdRsNOm2u2hy\niEHbIOEqZFSZmCDS6beQNBVxLIilBcimo0zPzbD9xQte14LcjIbYKFi45QFn5scodzWMYo3Tc+Pc\n326i1QyWTs7yq+0mou2TPbfEnX2DdHKSwPQcTwdRwokr9KOz/E93W1gLZ9mIaPxnO03kK6f40BL4\nyas+0deu8GVF58ePdSZee5fWYZ/twwZnr1xmbb/Mmjci/845pEGP31++yNyJBZ5+/A2/88Z7lBpN\n/vt//D8zd26Re08eUTTazC3m2Vvb5PJrt3BR8Acm7928QdAJ8/H/+HNuvfY2Lx89xjp4wO//rVPs\nVYr03AgPHryg2d7h0qlJnPorYrLNqO7hShF00+LkqXN8tfeMB48+p7dbIJuZ46//+nOerL/gzr+4\nz6Dpc2iUyUQ0fvnXT9irFTGVPsXekEBCoNpr0ehW8AWPvm/x6uAVh9vPiUlBSsUjwkoAUZA5e+ok\ncsinWqtwVKowMm3+5q8+pXhQJz+ZR5Yi6LrOxsYerf6AaqvF0+fPqVTL5CZz1Oo12t06E5N59got\nnrzYwFOavP3eIukxB1ExOHP6DD/55/8SeyQwNzeB3uzy+Y/v0NhpEJZivP/6RcqHh3zw8ecsnlzg\nez/8Fn/wr/8BlmsQCnucv3yCF3uv+A9+9F/xZ//5P6TabPG//flf8WJ9DUF08D0fwQcfF98GZ3Q8\nKbuuT7VapV47ZCytIAsOEiKVUplex+DZ9h7lUom5/BRaIEipXGIsHWf17AU+fPyA/VqBjm5h6C44\nLqrqYDsugmTjSj5aNEyp2qQ3cHA8GVkN0GkNaTWGlA6rBEIKsubzamudZr1Fp1VD00Tm5mZ5851b\nmCOHeDxKPj9OIpUGScL1bIbmkEHfYP3FASPT5Ye/d52B0abWqNJteyhSiKA4w85mE0lTGXpHLJyK\n4Ho2lTa0KyPiGQ3XspiayhGUwoxFMzx5scaTjQKNVptapcN/89GXvP93/x66CQ/Xd2g0+5i1Jr3B\niO2tQ/qtDvee75BLTZOQVBTVwxjodHodEEdMjstkxwRMp096Is/Na5eoHVWIRlQURcKwDFzfR9NU\nGs0KiuohywJaUGZxfhZRFBgOBqQTcSxdRxYgEAhw4sQSruvw+q2bLM0vIbg+qqigCNLxSzxGDYuu\nQ0CWEAUfBAFJEXF9n+HIot3tY1o2niCgD0cgiLiCiCcK9PQBpuMiBTREVcTHIxwJ4boOsizgeg6e\nf5wNcD0PRJAD8r9SE///2zP+X/67H3XabXp9k07HwPUdcjMZCFh4ehjRThPU5slkZ+g3BerlGuXK\nIVpA5W//G7cp7lXJT6wS0mJk0nmSCY1Xz55w9dJJarUGA2uIEhARXItEKMzuboWtnTKGIxLNxGj1\nepRqVXbLTTpdnXpdZ3F5hk6jhWkJmEMdYyjidDz2Nkv88HvvcuXGaT796mPigQiLp0/x+RcPwNdw\nFZdkOElUc9GHMooiEo7IyKLHna/vEtBg+eQc08kUsYCGFkpi2BZfffWUWDLEoNtjenqR7qDPfqvB\n+nqV5RMTqJrK7PI0xcMSumHhu+D4EmfPL3F40GZhbonpmRlanTaOCbuVOpVCj8l4gmgyQVt3eOPK\nO6w92uHGjes8erJGrdnDllQs3yIai+F6Pp4s0jUNZhen8awBE7E0t64uM5tPEdVEZiZnqZeqdApF\nlk+ssDWoEUlO0DSGNE2H/tBFCQgszGdJpUKM5yNUDtrIikkYH1+HJ88PSSRTmMMBzx6vYToGQxmS\nyRiOAT3vmJITVMK4ngyuTLvRYCwTIyDLSIqEpgaQZIgnY9gjnWA0yNDq0/dc4nGNsfk444bO/InT\nfLp9wCwG+ZUZNvojVNEmOp3l47Uq3sIJ8ldP89GdZ8QmVhi/+hr/66dPaM2cZJBO889++jWD5UX8\ngM8/+vgVwZuL9EYCO8/LnHz7LJWuy2bhgMUby4zqDkFD4srZGfbXthB8l4sn5/n6w3skIiEmF+b4\nm7/8BUxqrC4t8pO/+RlvvfseTzfWEZJhTi6fZuPBGolQgIlIksLDV3T2i8wtLHDn0w8RByaBhIw5\nMsnEEyTCLoI8wCjpJONhwoJMNjrGp588p93WCWlZxGCUSDpIej6B4vl0S1XsXov8yhLNoUbpRYdz\n06cp7uuEZnJMjUfJh0OsFw6ZOn2RzGyc+HiC6+fO0D6sorgOHlBGIKgGsAYStiPijyRcW6RQaiNp\nETzVp1qtIyIjiwqCLxGJxtACER5+85D5+TyiCJcuXmJra5tYPAaigOu52K5FqVyh29V5/vwpzaZO\npdYgmUpx7+sdVk4tUNyv8+FnXxLWYkxk0uxsblEfjkglx/BGQ5bnMxT3mtx9tsuf/Ht/xLWbq3R2\n1zk5O8ezF8+5euEsUWnExTPzXL92jbH8Cf78X/yKereH7XqMbAdflPCF49yE57l4noDnwuqJFdKJ\nJKZjY/VHTGYTzEzlOXHmNJVylcNyjfz8PJOpNOuPX5DIJGh12jAc0uj2MIcunmmjD3SG5oiR76Ml\no4iKSiQSo9vrMbJH2O4IRAFF0bAdiZFpMbRMtKBGrdbGcwWC4RiyojGyTQr7VY7KB8zNTqGoEbb3\njuh3OsiCxFg2xR/9nT+kWukwf3Kc669foFSoUS3VCIbDeJ7F8vIKjtNn5eQ4gigSUDXWXmxQq9k8\nfXxAMKoxO58jmYgiiAqVahXPtRElgVwuR6PT5eSpZYT2gA8efEnPdkglJwgFRWZml7h07gz1Splc\nIoLh2eSSQdb3tnjzjW9R79U5szLP+9//HT751QOqR030Xpv8ZJqo6DM5nsIY9Gm1e/R6g2OSlu1i\n2RaKeoznDYXjWK6BIIkYho7oOCwvr7Cxs0evP2Bjcw1JFdja2qJWqeP5Hqom47o2gu8fry3ZPqIA\nsiTge6AGROSgjKQISJKIZTuAiPKbFShjdEw29HwHV/DxBB9ZUxBEEVVVScYTXLpwgUq1hhpQMQbm\ncXhLEACBYCjAn/7936KiiA8/+B9+lMjKWLaMhEo6PYYgw1gyx/6Gx5MnBZ49ayC7DuPZILZ1wPxc\nln5/SLPWwtJtNrdrfH1/k2hEQGPE6sk5BMUlFgtz+tQ80/kAwYBDLKqytdnBE01iGYtMLo1pD0FS\n6Rk2zU6DVCxGJKoRyozx4O4zBo6FEwhRMxoszI7zYn8b3x1w75Mt9KFOty2ztDpPs12kVLdpFGsk\ngyFKVYfKfhVd1xl5KjPzi8RUFbPWJSiEsB2NltkGzefrL3fJpgMkImki0QgOMqbX4uTJSWrFKgE1\nwsMnGyzMLzGWyjK3OMb5S8tIkohuDLGsPpP5EOcvzGM5Q2Kyxu3b16hWK8TDMhdPn6d8VKHVtXi5\ntkG93uXq7WsUyjtcuXYa0xqyuLTI62/fYL+0T1yL4hk9umWdN8+eYSpio3siT8tN1sotqu0BrW6H\n6WSM56UK/ZFDKB5DUYIUDkpkcykyiRCF/RqVThdZsHF7LobgEc5EOdqrUdXbROM5pLCLLQVolTqE\nwwG0sEa3Z1I+quFYPoGgjBY6tslHlstR/RAFCdMcoYY0nKGBJwtEXZmEFmYgthnFAtidIe1hHymR\noNCu018YZ/+wxxO3TUeGimPyKhFkcjJHo9fjqBNh9dIq93f3eCVbBOdW2Xi8QyIXwZ5MU1w/ID+d\n4fUb73Hvs0944/JN2p7K+ldPMbCIBVM8u/eAlR9e5PmLTSqb+/zwB9/hp3/xSxIz07z25i0e33mC\nVx8QViKUe11KhUOCmsazXz9ArRsEojLPH91nZXaaZrdNAp+i1T8OFAZUwvEEimxQPyzQrfQo9Y9Q\nEwr9I4utQo39coVkJEI8meLVbhlVimJ2Ouy/eI4i+HREiQPD43CrxJn8GT766DHra9tE5SRnJmbJ\nTuc46pnU2yLv3L5J97DMmDbgy0cPaFd1Cvs6EVPFxCWqSjgjkWary0xmkpeVIw4NnVqzy2BgIAoy\ntuMzGnpYo+MS95FpYVkmnmezuLjIzs4urU6beCJJr6cjSTKtZgfDGCFKMkEtjeu6TORzVEsWzdaA\ne3dfYhguvYFOIhyib+hE4wlmVxaYPzlLIhzj+sVr/O8//Zib336Py5MRGuvbTKbzzEzmODU3j1Or\n4uoOzx8VuHP3G54+36HV6pCbyBIIhBgaIwSR3+ASjyESrntcp1dv1KnU65ijIalUjPx0HklV6OkD\n8D18z8YZ+fRrdS6cOc3J06u4LpxZXUaJRghqQRqVOvjHhQeeD47pMjKPa/kGuoFjCxyblTKu62ON\nbMAnoAbotPvYtodluYiCQG4szonleSTJJZ2OUStX0NQIO7tlJiYnSaTi/PEf/10eP3qAINpYtsH+\n/i4js0s0FjomQWkqvbbOoGtRrXTo9UcoaoRe18XQJY4OGwwMnUazghZSCAYDhIIyK8vzlMtlDgsV\nItEA23uHAEzOLVA5KpKKhHj7wlVKtRr9UZ9CtYztuHi+S71VY3Z1kcNX+5RbNXxPoXxUJx6JsbWx\nxa3brxNPRSnt7KEGFLb3dugNdGRVxfN8PM8lFAwiSRKiqBKOhGlU67geBANBhkOTSrV2PGT4Pksn\n5jHNAVpAxTRHyLL8/6yz4fsIyLiuh+v4+B7IsoQ1Ou4tdn0fURSRBOnYnnZdHM8HfiPc/jGCE1HE\nxwfHI6AGcCyHzc1NlpbmWZhbYHd3H0WWkGURVZWQJIE//fu/RWnqD37yX/wonU+xXeziuT7D4QDH\nc7B6QWRHRQ2LuLj0myDaPWZnx2mUbc6enmFvq4ntjrBdEIQQt65fJKLJJDNTvHy5x85Wmd2tPTQ5\nTDqT47CyS3IigRbyiYezVA7KnD8zy2Q+iudbTE1nqDd1PHpcPHGSk+dyTC3lWF2YZiyexGg0uHX7\nEsFkiKHRZyKTJTYR5uG95/w7f/Q+Q1vAMARMR+T+dgkvKOOLCs7IZ37qBLuFfWqtDpapkkumqFTL\n9HpDxnMJxjNjLM8toesGpmOQycbJxOIM2waT0zNMTs/Ra/YIIjKdTyH4Nu1GjUhARcIjl9GQ8Ch3\nO1yYmaTcKFGsN0kHxqjuNoglk/RMh7W1dW5dv8ZRdQtZdghqEayRRSya5Ndf3sN2h5hDg26jw3g2\nhT4yKQ0qDFwNyY5gdUc4ssDLUp0uAsVOn2rHIJlJsrN7RDyaQVWPV60GQ6g1esenSMOFIOg08Z0g\nY+OTWILM+qsiki3TKLdIz0ZpNbsU9/oEtTipdAZF9YhngiD6BAJBFtKTxPwAtmnRN4dk4zEGYQF7\naGLqNr6pM6UkGJoqR7Umw5DNnqpQ0y28gU8wHSIWHyeakAlLQ0TbIzKWY9Bo0vP6hKejHK2tMZ6c\no7RzRGmjyq3ffZ8nXz+julli4fVLPPrqAV/fe8r1P/p97v78U2ZnF4nPz/Ls15+QTMdx1AzbzzY4\nKuxy5bV3uPurL+htb5GdmOJw4yVj42EG9S714i6ZuQkOSwWWU1HioQgntDhuvcPiwhSVgyMmlQCD\nYoO5xVX+L+beLEaS/M7v+8R95H1WVdbdVd1VfUx3T0/PQQ45y2sP0lqvsV7LCwH27lqSLVsa+NWw\noDUfDOjBwIIhaMAAACAASURBVAI26AfDL5IhWIItWHtR5F4kh9cMd2Y4M9093V3VXXdmVt5XRMZ9\n+CF7ZcGgduEnb74kMiLwj0QgE9//7/f7Hrc+97f41//nt3n8/JxcMc8/+Du/jqz45CsamUyG2vIy\nl86QychGSiPiqUhFXGK5uMYgCNm/u0+jusTpkyHHz5pYzoSXXtrB7rf4yptf4tq1V/FEiTfv3KAs\nZZEzAaGY4JBh2vVody3erC6Ry2cZiRHP+j0On19QKOh0+z363T6mkcV2F2A8t3xu375Hp9tBVmSi\nxCefNUmSmJlt0R8MSIA0EZhO54iiDEikgCTJiErC8lKVJPVRZJFiSSBnVulNe5hGkYvWJVrOYKvS\n4Av3XuPa9T3+r3/xu/ze7/8+la0N/t5/9Ev05k1qq5sIsoY99nj3uz/kn37z+5y4IU+6PZRSAU+Y\nsn+9QRzIQITjzpFECVEQuba3Q61chDggl9VJkhRBlPGcmNFkwsxxESSB8ajPtWvLnJ1dYts+znRC\nq33GJ08e4tg+6dzitNNhfW2DQi5Pt98jSRaAKiAufJWTGE2TSZMQRRERSAijgCSNSZII2/aI45RK\npcLNm9dprC6TNTTalx2SNKHb6fJzn3+TXLbEw4dPyRVzCAJ8+19/i8ALeO3+PRwnYP/qPX76wUNE\nScEwDEbDGWcnba7v32A4ntHt2rTaA1QtR9Yo0bq4RNMNgjhiNJpSrVbI5UzcuUMaw5WtHcaTMY3t\nJXKlDIIMjuVRzOWJfYuzdgctn6F52sKJPeZJTE5LWS1ucXbZR1I1LtqXdNotru9u8tnX7vPnP3kP\nWRa5vrvPe++9S5hE2I7P3PUxM4tnlaQRsqISJzGuO8d1fFRFQxRFoijCdf1FLGfBxPVtkiQmCsKF\ngYcoLRKUJOHfXB8nIAoyZiaDM3demIiISC+c2SRkFhdBnC7MXxRpYTSyoEqDYeoQJ1izORkzx+ra\nCqPhkLPTMwRhcR9ZEYGUOIr+ejlw/at/9j98feS6NAcDPvtzNzF0HzF1EXyBUrZAqZYQSzGXHY+M\npFIt55iNfAZDhzQJyCgmlZUygplw/vwCPI3Dsw6yrhHF3oKlmYZk8gZ+4qOYKo3GEvPpnHqxwEat\nxFodbt+okMtluL63QThxeOn2JikRhiHipT7HZ0eYCoS+wuHRGaeHLUxN5GI4wHNtDp/0yeQzHDy4\nYG1rnVxdodPqoiQCmmEyHfW4sr1MrmwwFyIOjlpIUhZDMWifdckbOoWMjmbEGKZEPlNiMuxTzlew\n5haT6QRv5jNotZFihZPnJ+Bn0MUcYhJwe/8OpVyRTEGi7/cZ9m1UUebZUY9OZ0gub9LtTikVslye\nnUHqk9F1fM/isnlJt91FFEVy2TyKooCmo+fz9OceoRySzZQYDgc4okBn7qKrJs5cpGXNCGIBiMjn\n8kxHQ2QxpbiUx8wZ6IKCkc8glwycScpk5JJIGTbqDf7oez9FkgxWq3UCJHbvXuPsrM31nRtcNNu4\nvosfzLh5axfLnuD4DpErQgyr66vYkUuz2UTPL1itc18io+UXeuZCnSAVOei0iMMMmYyErqhIscL5\n4JSTTpt8JocfT1FSicdnbU5EH7V+Be24R8ULWNlf4qNPHvGFL9zDFFIOnp6ycb2I1ZqSeinZKCSM\nAs4ODhDcGetrIpWJi54p4Z02yQM7V64QXJ7w1XubiHIGLewjuRb1bBVB8JnP55TCkBUl4aefnDLt\njjkdjomsKQ+eX5C3XSxPZG9nn829N/nhO99i7o2YTyzOPj1lHvuUCmWc5zMajRoJItlKBs91iUWP\nTMEgkhQqlRxKLPPBjx5TKuxieRLPjtt4g4DNjWXMikw6nXC1sYJ32UPwxuSlIp3ulIErUzDzWH7E\ndl7FkuFJt0dGUAh9EUcRGHRGuG6IpGcRFZ3xaIZleViWhSQLVOtlUiEm/YtZnCQzn8+J4xRrZhP4\nEUGwUDvo+oJ1mkYpmayMbfm8+dZ9JrMZmWyeamUZz7UxczKI8OEnn/Lgk085ePCYs6nF8r1d/r2v\nvEyRFk8+PkfD4F/9wTt8650fEWVLXLtxk4tWk69+9XWq5QzrKyuMuiP8MKDb7WMYBjs7G6iKxNya\nQWxTymvcvrXD1sYStXKV3nBITEq9Wuf49ILUjzEEmbWre7TaHXJZnUq9wsSxyWhZ9jfX+eDRE8bD\nHqPhEFmRSJMIVVVJ05R8IUuukKFWK1KvZxbks+U6URSiqAphkCwCCGJwXJfJeML5WZNMRidbyBBG\nHnN7iqFonDw74+SiQzaXoZDNsrezhWVN+elHD0GIOTtvMZs5CGgMh2N0zUBEoXM5xHE95q5PLldg\n2BvSWGkQxwmu5+H7ARIaqqIzm1oIksJ4POPsrIWQCkwHNu7Qojea4DguX/7c6/hhyESYc350CkpK\ndqnKy/vXOTvtcWV3kwfv/5QEmfpyic+/dYe1Rp6jg0PyuSI/efdjzs7PUQ2V3mBAGMZEYYIkiuTz\nGUqlEpPJ7P8B00jED4KF0YkXEL9oRSdCgq6pSJKE74cIyARRBNLCQGvBmBKRVJkojPF8H1GCVIA4\nSRFEiTiMiYP4hWmHQJikCKQICER+hKrIC8XIC1zLZbMLXX0QEEURUZzguR6arqAoMoIgkiQJ//Af\n/vZfHzD+3/6Pf/z1yURhMgjwPRdZkEkDFVWWKK/qfHr0mFBwMDJ5Ds7atIcDBkMXb+4hZVTU5QKW\n5VMr5uh3B2QLOdbXV6itlPECh6OnXT73+psM+k/IFb0XCVAil+02khhj20OKhQJx6HN22ub08YBf\n/dov8uTgCYk5QbZmBFqMZtTJSGXO233MVKGsidy5cR8xsGmsrWOWSkymNllNJCvpaJKBWjKxJ0M+\n+8W7PPr4CdVMjevbmwxnLie9c1wv5uy0gz11+aVffBVTkxiPR0SJiyTqzG2by+4lxVKVcrlC67JD\nf2wxm4ZMZ3MGgwlXrhcwsxKXnQ6nzUM+fXiCqYGYwMWzLhvLW/SGfSQ1otfqs3dtE8Q+2YyBJBho\nhogoJliWxauv3ydJBRBMbt7b5+zygmIxRy1bQ5ViREPBCnyiJKIzGDByHXa3l7n/ykuAS6moIIkh\ngW9Rr1RJ/IhCXsMwNfw4wHMSsmKNVEjJFlWanR47e1s0+33cVGQwGrO6vMawP2Bja5Nms40QywRe\nzMMHx9SXlkk1GVkTcVOfzmSIns1jolAKJbRxTJgGZGtlnChk1ByzvXUNx4+YehY9O2Jl+wonZ8/Z\n31kjjn2OL4dUCyXs1GO9UWZVFygrLmbB4Ol5GzWq8M0//AO+fPdNPvrkQz75kx/wtV/+eX78/Q+Q\nJxZLlRInF0/Z36xgAJKcYEgetaUMOd/DvTyg0ajw4CcPMQsCHx2eUgBaY4uzfhdDy7KRr2L3xxxZ\nYwxZQjANKnmDdnfIuqnRS+Ha2jYbV+/ygx9+m8FwjBgGqBWDSrmEf9yn1RzwgyePKed0QkFGEmPi\nWYikmnjDGdY0YGltHycS8YMYQ9R59vQpqhcx7Q659fIdZorHcNhEUgX++EdPeP/ZBVNpQn5J49Nn\nR3z+/muE2YRcXiQMIy5aPTLZLO1Bn2KlyN6tG5xcnDObznj1/mu8/PLLtNtNwijA830mU4tIiAjj\nmHwuTxgEzC2XOEyQZRlFXgTMA7iuQ8Y0KBZz5LMm9fwKvbMmG0sNHGfM3d2rnDW7jEcOCRKNqzuM\nPYuv//bf5itv7nD26Izz4ynXr7/Ek4s233znh6SCwPKNVVx9xs61GuGsjRg4zKwJR2cdrl+/x8HT\nQzQd5raDPRvzX/4Xv8HHP32ANZtwZXOVwJmS0TU2l6v88n/wN3j85Cnj4YzAjxj7EZ3LLp7vUsoZ\n+FFInKS4XkitXqHUKKEqEjsb25yenlOt1pAkCS/wqTeWkGVonV9gGjmaZ2f4nrMwwMibIAgkL9qn\ngpjgei6+H5ItGHhBxJPHF1y/tocQpDw7PGXmBLz5udcZXLawpxMcz0HSdC4uuqSxSLGSpT/sIKsJ\nlUqd8cghjGJm1hRNVYm8CE1RuXXzJR4+eoih68ztOblsEd9bbLLG1hzb9vBdj41ymZVGg+cX5yxX\nVsmbKkZG4emTQzrjPmY+i1kx+cpn3qRzfoCow/Z2AzHxWF6t8Oob9/j2H/yAD//8gK0rV/jwo4fM\nPZev/NJXyeZynJ9dEPkxSZSQJgmB72GYBtOZSxAGi/ayIC9AmQRZURYgmoTk83lMQ2c6myCQEiUp\nYRAjiKBqyouZMYtz4SJgR1YlUiElTlIkQURIRURhIXsSRHHBJxBSSKVFnCYCgrTAtFQQUCSJ+/de\nJmNmubhoY81dVHVB2EqSZCFtitOfyab+/68y/vb/+PVJz8JQBHQjJZcrMp9IaFqG49YR83nA1kaN\nrd0ykpIn9IvsXd1ijsXudp1aUcQJbJzYYXUlTykboWZiPGECwpS1lTzLtRLT8ZBqscbaWonlaoFi\nPstqYxtBFOj1B+SzJTaWimj5EseXEY+etxhM5lycD6hXN/nw0ydIqsHxUY/z42fcuHmT8+mMSXdC\nXsty1h3wyYMjppaHqBhoksz5wSm/8Gu/iCrKuLbNs4MDVFGnWs3i+w43blzl0aMT9m6sUKklNC9O\nUZQc1VqJmT0lBarLBfzApt8fouVEjJyO61lEaYzrRzTWK7iuTaWeZ3N3jfX1LaJI5NFPj9H1DP1J\nh3J5GXee0jzvU61lCGMbJAnb9fBCn2LNII5loiSl1W1SXsrjOYsZrj0ZM+j1MEwBPwwQUh9Z81hu\nbKFpCYHtEXguvcsBV7ZXiSKfaqVMpVBiZs0pVHRGwwGmlMWxI54/uyQIHabOlM3tNXoDh73bt+iP\nxhSzeTRJZTYbI+sShUKR+dxm2O/w1hfeZDAdIGuwXCuiSAm6oVKplui2mhiKjCSbhGZM255QKRfY\nvnKdk9MzYjFhNp9y7/4X6Hen6KFIGockiYIzD9E0hcC3mVy28YdnLFVLTH2XBJlixSRDSsk0CMSE\nqlJAF8EHtpd0LKvF/Vf3MLUIswibjSKzoI/jqDTbIzr2jDN7yMZenUzRpLxbJ+qFNKoVvvb5L/De\nBw84OmnDPCGOInTFQJYVjIxOuz1kxcwyQeDK2hZbd17jne99i7E1QiQlm83TOmuzEmaY2w5iXkWQ\nDKLIZjp00TwBo1Ah8jVKlRVOz3uYmRKO66CqOofPjtHjmFtbFT5/8xqbN7aJU5FBrPHBwzYrS2X2\nrm2SDkZcK67yRx/+hEJBw0w8wjjCCyTa/S6FfBk/8DlvtjA0k6yRpdfpkDV1Qt/HdRxu3rjJdGqR\niskLk48JgRdSyBeoVWvM5w5hFFGtlvACB9PUyWREVperzK0ZAREBMJoMmNouoaGRmBrTQZ9arcq4\n2+W3fv1XKAouXueSx4+P+O4Hz3jvk0PsSchpq8OXvvQ6b92qs1mWKcsqUqoxnltEqcqoN6Y3muH5\nAUmc8uorN1ipF3l+cEiva7O1tUW1WiJKAjwnZuo7DMZjqsU8QZziJxG6rBJEEZVSEXs2Ye/aDvfv\n30eUJKZzi6k9RRIlnj19zs7WLpPJlHq9juu5SLKENZuyvtrAtiz8IMRzIxwnIIyFF3PjiBTY2FzB\nyMqsbywjigLXb17B0HVsa/bCkCRkbM3p9wZsbKxhWWMEWULSDaIwZjqdUamVqZSrzMYu1swiSWIk\nCdI0wXdDplObQr7IgwePSNKY+dwikzUBCWGRMch07hIFEX/nP/2bDPtdssUsSDFb19aQJZUnTw9w\nQo98IcvUtgg9h+m4z2Ri4zsBveYlp80uhpGSy+T55OOnlCtVOr0pbuhhZLMMxmOOjp6xsb7OdDQB\nUuIXqUdpmuJ7wWJmG6cgCosqVwBRFPE9H1mWcB0Pe26j6wtpkiJLL2a9CYoskUQx6QtnLEmWiYlB\nAkWRIYEgiOCFgQeAZmgvrktJYxAXhxEEFqlQsoQiibi2Qz5b4NnzM2RZAFJIBaJwkQyGKPKP/tFf\no8r46MG3vn7aaiFoAqWCgikojIZzPn1+gqJm2F5f4cbeOu3Lhal8qa7jhwnW1CbxbPZvVFjbyLF/\n/TrB1EZPZWrVKpKis7a0TlY3+cn7P6a+tsqzsyajyxHjS5fUl/Esl+VGmcoyOEKfIJpRLIns391n\nZVVlfbvI3c/eoHV+zswJmR4PuPvaK3z0+AR7NMe1PT561OTB02MCN+XLX3mLiJRb168TBg6XvUue\nvP+MxJ0zdx021+pkMzqhEKLlCxg6+J5DHKdkSiG18jLjSZdS0cQPPFRdR8+oeOGcIIowNJ2V2hKK\nOCdfzPHq51+nP52ysb5F6+Q5qT1n6IR02n3yuQqZvMxg3EZSMpyfzmlsZEnECdP5lPJSlXwhR6Ga\nIwU01aQ3aGNkdKIkpN+ZErgRl80JQehg5mRKFZlM3sS2bPJ5g1IpS7mcZzRuo8gaAh5717aREPEC\nCzedkCQpcppSyGUoFpcQDJHGZgXbtigVa4xnc8Io5b/6e3+X//V//hdUawZrW0XCNGSpUaPXvSAI\nPFw/odnpEvk2rjWjYBoUs3lkREQEMjkTUVcJJUgjAafvcqW6SpLGeKHF0kqJ73/vXVoXpxiqgKal\niEpApVZgPFwY/e9fu4rt2zQHl4iizGt3blHKnlIVRc4OT3jlpT2ciz6j5pjDw2PuXL2C5bQJRJdS\nQWM6aiOKAoV8GckSuHVzn/Nhn51XblKtF6nW6uhSliAI2ForklVjxoRMPA/VN5CTGFXVCCQBQ0jo\nDWbUDJW5qLBUq7P38mf5zvf+iMmwi5LGeHMHGY0VOUMQRPiqgG15LNUWbVRxHrF38za5fImlpQ3u\nvvwax8/PkWWNVEg5PDri3mduc/t6g7ye493HT5gdXXJ2eME8Z/InH37MRz96gBqZ/Pij99murBFf\njuhbPltbV7kcz3DCCNeJmM8dLnsD/DDh8rKLCPieh+vMkQWJk+dHCy1mFONZc1RZIWtmmU6mjCcj\n/NDHMAw8b861q1e4c/smceCRK5rcvXWDo0eHtFsDTts99jbXeH1vj4IKr7z6GjktYT6dEMx9fvrh\nE/70e5/w/qdn7N6+S71m8nTYZGtnjd1qiY8ffcqoNSd2dIazhKdPTxmMpvQGc6aWgyRJ7O6so2sB\nltVhdbVK4rkcHTeRNIPxzKNn2cxGc5a3lzm5aLFWy5PLFigs1UgiDyOXpVApMRz2OT9rYppZcqUi\nqipx2b4kTWC5XiebyTKZTrBsm8DzWF6qoygyk6nNYDBHkGQcN0JVDOq1ZfqDLpmsxGVryptv3SOI\nx8RhSKc9II7g8mLK6XmLOI2IUxHX8ylVSrxy/y7Pj0+4cu0G0/GUKIzpdgcMR2MEQtJEQBJFZFll\nOp0TRYv83elsRppGZDMmsiISBB637t1jNrfp9wcUi2XqBZPPXb/Cek5mOptx3j3nvN1je3ON89ML\nJFEiISIVA0QEHMtHFnUkQeGiOeDKziY/94XPc/D0hG53QK5oouoJuWyZZrOPE0xJ0hBnbuG5PlEa\ngyig6yqKKqEqIvlcjjAIkRQJURYhTSjlcwhpiu+H6KpCEEZomk4URfCCHycr0qKijlPiaAGUcZIg\nicJC0pamGJpKmqSoirQw7BBT/CDi6t4Ok/EU4pQkeAHmAvhBgq4rhP7iP1GvlxkORsRxShwlJEm6\neCYpIAj89s8A458tePp/vfb29urAh8CXgQT4Jy/eHwF//+DgIN3b2/u7wH8ORMB/f3Bw8M2/bM0P\nf/AJW1vLyJkUUwpJvAAzC418A2s0I1/I0DzpMm3F5LMaldUs3faMa2qDSi2LTYJ/GSKed3GsgOLS\nMmenJ5hmleOHp1SqJr/0Nz5Dc3zKqzc36TybcXY4AD+lUqwzG9oUahl0w8UTU3JKkfd/9APW6xXE\nSOTRZIyWy9CQJcyrNX744ftUqwatUY+5pRDJyeJHHDn86AcfoBLzJ+ddvDhg80qN3WvrOP4EuxsQ\nGAJSVicNArADwtDjjZdv4oRjbt6s4VoBhrjNpOsg6Cq27ZOmIjl1mUSZkgoJ/U6XzZ0tAj9i0m2y\nWTaZ9Y6498pLNNttClqO0WRAGIwQRB3biSlVRCRtzrU7dWwnQLIKXPYHKOLCvD+NFcqVDL4P6xsb\nfPr4McQJhdU8WztZcrkKZkZB1TQmkzm6bpIzNTzPZjyMyBglOpeXlAoa52dnkAikkkClXEDB5Ois\nyVpthyCSGXS6dNsqkhxxetJGVgwIQv7lP/9d7t7bolIuEfgWQWDz7PmQUrXAcr1CtzcncGWSnIZl\nhZyf96iVE5aWV1CVMnM3plxVEQUFSdKIRYme7zEVQtrWBKc/J2NmuL1/h8Goz1nrGUuNIrY7xJo7\nZDWFs9NDEl3kcmaTzTd497vfYXu3ihDLbGyt0p+dk9+s8Ojd5ziSxPsPn7OynkdKE5JQwlQLaGqe\nweWYvJCQeCJX1/LI8wEZrcYf/d73qVeq1HdVmvY5zeGc9avrFBu7jB7YnB/ZpJ5PiIJeyhAnCYoo\nkcYJEQmSrCMIIqKkkMYxYQiREkIcIaQw7Uyp10t0Ty/RE5GcrBP7ARNnztgKeHbSQpIUJDHFix3y\nZZ356TnZ8jZmRcBTsiy/ukohJ/BWfYkvtm4w6No8e3KM3DB4+U6Fs1ZCt+fx5OgYZ2Ix7k8oFOpY\nswkZo8jEdlG1LLJm4vkxgZdQLpcZjS2CIKRayRN4ITk9i207eJ6PrutkckXGwzGKJJBEAZNxj9XV\nJQzN4KOPHzPwQ5Y21jEmU67e2KbbOSVXrlDS4cPzLpliiQt7RiTGFK42eH33La7v7fO7f/B7LOUL\nzMcDvP0GW7s3eXxwQbG6jjBxMTLLnJw8Q88WcHtDdFPFNEx6vRZ7V6/iO3Mc32P32j5nzTayqqBl\nMmSLGg8/fMzmSoPp0CGMIwq6TrVRYTKccHPvJQ6eHnJ4fIaaqzCyOiSxRyFfwhUd2pctVFlnMhrz\npbe+wOnFKY5jEYUhmpZFUmz8KEHVDcIwYqmRI1veJI4UDv0mjx4dUKlmGHVtAj9GN1Jsd06UpKhG\nCSMn0m63eH5wRK/d5u7925xfdJhOhsShgK4rRBGEUYQspSRJxHzukSYLwFA1FV1fzFld18M0dUQx\n5tMPP8IJfMrlCqPpCLOSpVDN4ox8Xtqoks2+wnfeeY/5bAyJTKooWL6FpgiQKExGLq7qYmYWDlWZ\nrMZ3vvMd2pdDFF3h9KJFtZahVslRrupESUIaxYgIqKpC4IT/prUfxyFZU2cyGaOqKo4foGgKgizi\nug4pEZVSnjhOkEQJZ7bQKMuqhKopuI73YjMvEScxcZIiqylpKqC9yC9WZBkloxAFIUZWW4A9AsdH\nz1FEiRAIU15sZhREIYZk4aUvSTEze0ixlOey1UeSRZIUwiRCEiWq1crPxMS/0vRjb29PAf4XYM5i\nb/E7wH97cHDw1ovPv7K3t7cMvA18FvhF4B/v7e2pf9m6w1igKAm8fnWTTEmjzxhLnlLNy2xumnRb\nMz79tIsbqMxmIcPBhIJh0Bv1kfBYqeWoLWf4wQcf0psENC8tIlmlNbS4HARMJypHDwbcWr9N0rdJ\nFAW9YLK8sUZn2MfxUzpdn2AmkxMMTKGMoplcXlqIuslL61toqcPuaoGs6HP95jaBrBHHCbP2GFVR\n0c0MSgKZkkR2s8BZv8tnPrOHriTo3ojXb90go4nM7RlPD44IBYlnF216vRmVfInzJ0O+98fv8fTB\nBb3mlOZpFynN4jkK85lAvz/nz987pHvqUFTrBLOI6XiKYRrkKjL1hsHJyTmDnsODj09I0oirN5YR\ntZA3P/86kuzwtV++SyFvYOgmqqaz1KiQrxjIisj1W3UK5RjNFDk/b5EzTQrZLJVqmVzewPc8bGtO\nPl/EnUsEjkYcCohpDtu2EFG5deNlctkaF6c2QRAiizGTXsyoO8XUTDrnLmWjwa2r+9SrCnu7O0Se\nT1HPMh94zPszpp0paZBgTUYoosrccqmWK4RhzPr6OuWKSalSoLRSQc7rRHJKp9+hdXnJwyeHhE7E\n4HkHv2thShpHh8fMZy5JKJA36+TMAk+fPOfDjz5lMHMZjD3SVGdrZ4ft61cZ2S61UoMrq7u0L0as\nrK0y7gv0BwNKKxG5ssfyrsnSVoZUSAgZohsquWyObqdLzszhui5aSSNZzvJk3uRp7wgrmeEZM668\nsYK4ZFMomvhEXLv1CpqSspINqOVUZlFInKYEvo8kiIgpRGGIkILj+EhhgKbIpIJAIshEUkyUxkQ4\npAioigpRRDgPqeXqZCWdwPEYTqcESbiYhSkCELC70+A//NVf4NIL6fVHKMy5vVvjS7tr5M9POPrg\nfX74Zz9kv7pMNi+zVKjx/PkxwqWDGWnMJnOMXJFcqc7e/lXu3LmDKCjIgoaIytbWVS6aHfwwYTKz\nQZBJBRHbcgGRs7MW48kizCBfKDGfu2iKyfbmDiv1NaIgYdqf0O/NeHh4gWRkULMGv/DVr/Do0xMe\nj/pce/0V3v3gIY21CpV6ltV6kVpGZ6OWxTR9Pnj0Q25sXyGvZbh/9z6f2b/D2eOnvHT3ZTR08EGT\nNF579Q3kEGzbYzKe8N67H9Lv+/zwB4948qjJYBigmzpXttdorBTQSReh9YrIy3t7XLu5QbFooIQe\n7mThCT93FzPYSqmEPZuy0miwvLRKsVDl6u4+fhAxmY0Jw5Af/ehHnJ2eIooS/f6IMApJ0oQoCfF8\nBy9wuOxcEIQ+ceJQKJXIGFWW6xssrVRZWi7w99/+27zx1ksYFQ1Ji1lqZBdkomTR4j5+fsrOlTU+\n+8ar3HnpKlIqsFStkDPLpCnMbY8oTICFd7Kua2xvb+E4DuoLOZHrxORLRXRTJ4rnZDSFYWfK4weH\nlDJZVksN2u02haLO8+dNwtTH9R1IZMQkQ+QJi82gBK7rI6kJiqqwvb1BIV8gTkQUTUVSBC4vm2xt\nreDNpdCuvAAAIABJREFUbUgSVEVeyLA0DVGSIBGo1WtkzCyFXAFd0xERSOIUzw1x5y6yJON5PlG0\nMFZJ04WWOEkXYFkqlBAEGVXVEEUBSRSQJRlVlAnckChIcB0Xx3EWhMI0IQh80jSBNCVNYlISFEUk\nThI81yeNBfx5hO/HxGnK6dkltmUjIJCmAryIboxJmEwnPxMT/8o29Te+8Y3fAf45cBf4Q+C/OTg4\n+K9fnJOAnwdcQD84OPj9t99+2//GN77x88Dh22+/3f53rfu//8v/6ev7V4rMJi3GnoeVhoSRhxil\nePGU48MRo5lPrp5FiFN8R2djaYXeMCaY9GgUDFY2lqhe2WQy6bG5XKS2msNObYxilsCPGV1YDE8G\nLOeWqWzLuO6E45MTNneukMlVuTib0nw2pahXSVMwijHZYgbXn1KUVerlMlEwx7Nc/Fji4vSU+Swg\nv1SjrJt86Y3b5DMCf+s/+RpmTuTatWWefNzkKz93n8R36PQGFGp5drbWsMZDVjdqqIbIjRvXePTw\nmP3r+4Sey2hkcXo+YWllgyQNWW2s0u50cW2XV199lVI2S7lQQTHA0AqcHrWRxAVroF4tUSyVUbSY\n+lKWQjnHbBwwGs5YX1uiUlUY9mcEIRw9G+BFAbopUSqpqDKYGZPllRJJHLKxXqdY1vBDG3s+YWmp\nhKrA88MzdD1L53KIgMLpaQvbAsvyePK4zWg0YW571Jdy6IZEEMUIyNTqFVw/YjTtMBkP2VivE/kp\n0/GUi+PFbNJzp5SLWRRRp5DNIIka7twlcHx0Kcfx0TkrjRK5nITtDVlarzIa90jjENPQWFpeQkpV\nyqVlJCXDxPPZ3rlFq3VBRjUYNUesFPPIcUiuovLS/ZvkixqGmoAgc3xxyspKGVNQ0X2dcX+CXsgx\nmC+0l57io2V0FE1ldWWTdt9GUVO6/RGOm+DaFo2VGtPpGHs+o1CqoWpZXnvpFTKygKBGRGnE+lKD\ny5NTNCOLYw8R0hjFCbm6ssM0Sun1+8TAUilPszNkxdCxkdha3SArCfzgnT9l6juksUAsxJiKwbIq\nEKPgKilXd3eRFZXxaExB0glkkSAVMLIZJEVAlBIUOSH0bZYqJeQgR84asrOaZVKChydPsTWob++y\ns75C5/iAi6NDnIMjbt+/z9j2aHWGqIUsHz06YG65+JFLpVLm4qKFM3eJoxAxTfnPfvO3CIKAXq/L\njVvXSUmwbRfLmpPL5VBUlZQUwzAoFYuMJ1OWluu0mhcEXkSChO0EVIpFvvjGGxR0A101UJKQN7Z3\nsGcOveGYMAyQhQQpdrm7v407GSJJEdmSyGxuoWs6ZiwyH1rY4znBKOTwsMmji2fM/RHPL08Zjefs\n7FzB8x2MrA6KSBS6XN3dQE2gXKnQbLaQJFCzea6srGLmirz/5z+ledqhmi1Q217nsttBFkTm0xmV\nQoXxZEwippyfnmHPZpAKPHn6BFlVEJSUvf198oUClWoR23GQFR1RkQgCj50rW2iaim6oRJFIGMQk\nsUqKiCA5nJyegBwgIfKTP/8xgg4rm2UKZRFD0xj0LWRZIQpD7LlPf9Bn0BtiZmRW11YpVnJks1lS\nYDqxUBQFQUgplgooikwULfJ8l5aW6HZ7pGlC6AXUlyqE7pQ7d++SyZZ49OkBQiQznI5pDyzGcYxk\nGEiqQBAEmKqJ70Yv8oBDEGN0QyWMIvr9IZY1wZqGeEGIpmksLeXZ27mKb8/RtIWuN00XSVZRHCMA\nUZQQ+h6u42FNXVwnWrSZ478Y4IoIooxleYhiiigrJCzmvkIqkEQJpr4oNMIwJF0ohBFYOGQttMUL\nstUiIUdcjHzjhRFMlMQgsNA8p8LCSlMSQEyIghRRSkkFEUnWSGKI4mTx3QVI4hRJWsyO/7vf/v9I\n4Nrb2/tNQDo4OPgn3/jGN34T+CbwG2+//fbvvADjBvAZ4AIovP3223/64vjXgIO333775N+1dufZ\nO1/X11ISU0L0VLKiSa2+xPPWGE1TMQsGorqwETOyebRE5NGP2whzk729NaLIxfV9Zp0Ra41ler0O\nsi1yfXedxkYRe27jRyLTecBJr0NWFFmqrlKtNqjUKvQHHVJSRDmhP5wytT2EiYQi6cwtkfOjFrGS\nEkZTdFElkQziJGJrbQ1n7uFMRphKwpW1KsOTDrogYdkO+bzC0aMWmUyRSm3RjjDkmEoxgx8GLG2W\nefz0AZXaCh99/AmaliWRdTK1JdrDJqWcTimfo1AsMbXGdLsTQs8iCS2qlQLN5pgoyqJoCgghE2uK\nH7lcXjbpd218T2Z1tc6VnSqNlRInR+cE8ZiVtTXu3LuDH/s8fniJJosokkGr2SX0VUwzRtVtjIxK\ntz8hm8ujKQHVskG3M6VSqWI77sLvW4AUiSCUieKIwA8plrMsrRSZWQ5mQSebMzk+a2N5FrIkEYY+\ncRQSvUhH+dybbzLqe4R+TKcz4OykiawsIhxdC6xRiCTFFAoarmczaU3Yu3mdYrnEqDdlJd9ATlQM\nLcejwwsm1oSDg6cEccQP3/2Y7fUNDDSwVHQRVFFDz8jEgsCoP2Y+mjOdjBlPbarlMskkpvP4kt3t\nTU57FyS6z61ba2QLBngSOVPF6ncAhaPDJnNfRBA1ZqOQwE4Yjafk9BIbSyUeHB4QJA72aNGRuexM\nMB2DnidycN5GSFICweTs1CaNNEb+GFkymdk2q7UizcsFGE/jBG80pfnofey5zSB0kFBIhBhdUNnJ\nlxE0CaVcJV/I0O8P0FSNlXwJOZ9Fy+ZRdJM4TUmFiHzOIHICvvft7+FYPpnhBS+/vEerkCGeCiyL\nGbaX13j86DEPm0/JxgJXK8sokcYn4wFnlkMuk6e+to7jzZlMLJ4+fo7nBqRpzHK9SqWUp1Ypc3x0\nyP61XS5aF/zar/37HB1f4M4dFEUlTRM0TUPXdKIoZnmlTn25hJmR+ewbr6BrKggi06nF6fEpd+/c\n4vvvvMP6VoM3v/hFvvO99zg767O0usGzzjld2+HpcZMv/sJX2Vy/yvlhn0TIcWvvNpe9IWvLDT5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vj881coskrg+niex8xzsb0JZloiikMKpTTpnMJknNA4jXn5osP6pRWmI5vLm9s8efyKxlkT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\nkS6W6ffGrC4s4boC93f38eKI5eUN3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YuR1BTf+uYhW1tdTNMhlRb48Asf4dYTl/CMHlNz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\n/N83tPp5Rwl6/AAAAABJRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The image itself is stored in a 3-dimensional array, of size ``(height, width, RGB)``:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "china.shape"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 13,
- "text": [
- "(427, 640, 3)"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We can envision this image as a cloud of points in a 3-dimensional color space. We'll rescale the colors so they lie between 0 and 1, then reshape the array to be a typical scikit-learn input:"
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Clustering: K-Means In-Depth"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here we'll explore **K Means Clustering**, which is an unsupervised clustering technique.\n",
+ "\n",
+ "We'll start with our standard set of initial imports"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X = (china / 255.0).reshape(-1, 3)\n",
- "print(X.shape)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "(273280, 3)\n"
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We now have 273,280 points in 3 dimensions.\n",
- "\n",
- "Our task is to use KMeans to compress the $256^3$ colors into a smaller number (say, 64 colors). Basically, we want to find $N_{color}$ clusters in the data, and create a new image where the true input color is replaced by the color of the closest cluster."
+ }
+ ],
+ "source": [
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy import stats\n",
+ "\n",
+ "# use seaborn plotting defaults\n",
+ "import seaborn as sns; sns.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Introducing K-Means"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "K Means is an algorithm for **unsupervised clustering**: that is, finding clusters in data based on the data attributes alone (not the labels).\n",
+ "\n",
+ "K Means is a relatively easy-to-understand algorithm. It searches for cluster centers which are the mean of the points within them, such that every point is closest to the cluster center it is assigned to.\n",
+ "\n",
+ "Let's look at how KMeans operates on the simple clusters we looked at previously. To emphasize that this is unsupervised, we'll not plot the colors of the clusters:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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WuDsoeneTB9Pa0t4N7Uu9K1Uu0BQV1ai0tN9DZeVFAA5CaYlVUtIeNDTc7lPO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\nAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets.samples_generator import make_blobs\n",
+ "X, y = make_blobs(n_samples=300, centers=4,\n",
+ " random_state=0, cluster_std=0.60)\n",
+ "plt.scatter(X[:, 0], X[:, 1], s=50);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "By eye, it is relatively easy to pick out the four clusters. If you were to perform an exhaustive search for the different segmentations of the data, however, the search space would be exponential in the number of points. Fortunately, there is a well-known *Expectation Maximization (EM)* procedure which scikit-learn implements, so that KMeans can be solved relatively quickly."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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qKKCvUeGtidPwuMUGJLa2tjw5YozFay19fHn+2hKu62sZjxv0Fse+Za2WYxXm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Scbxjjinmk6It03uRXbpi+yWiJOOatgj/l0QhUqMi9Yrgte2kgiFo+9jmE9CK3X9t47ikfq1OEY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\nygXvljUaD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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.cluster import KMeans\n",
+ "est = KMeans(4) # 4 clusters\n",
+ "est.fit(X)\n",
+ "y_kmeans = est.predict(X)\n",
+ "plt.scatter(X[:, 0], X[:, 1], c=y_kmeans, s=50, cmap='rainbow');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The algorithm identifies the four clusters of points in a manner very similar to what we would do by eye!"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## The K-Means Algorithm: Expectation Maximization\n",
+ "\n",
+ "K-Means is an example of an algorithm which uses an *Expectation-Maximization* approach to arrive at the solution.\n",
+ "*Expectation-Maximization* is a two-step approach which works as follows:\n",
+ "\n",
+ "1. Guess some cluster centers\n",
+ "2. Repeat until converged\n",
+ " A. Assign points to the nearest cluster center\n",
+ " B. Set the cluster centers to the mean \n",
+ " \n",
+ "Let's quickly visualize this process:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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urmVMOS53OvatQkvCUcd7uFY3wnH7MjXu5JCM623j2pma8zw+MJD7zdPTkydf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\nt7B6wNmhJG2nKzqd7r6uih9FNizcw5l1JVCkQlm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5dX/P2kzij/XQFI4BYOcf59k/bAkv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R2/D925wFpc8UWP+SQOII/zY+/rDvBzOF36Ve5nrVWVaJoWBKHacqifhx7T8ob5ZOLd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\nEQuCIAiCBf0/PgshfKNQCAsAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from fig_code import plot_kmeans_interactive\n",
+ "plot_kmeans_interactive();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This algorithm will (often) converge to the optimal cluster centers."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### KMeans Caveats\n",
+ "\n",
+ "The convergence of this algorithm is not guaranteed; for that reason, scikit-learn by default uses a large number of random initializations and finds the best results.\n",
+ "\n",
+ "Also, the number of clusters must be set beforehand... there are other clustering algorithms for which this requirement may be lifted."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Application of KMeans to Digits\n",
+ "\n",
+ "For a closer-to-real-world example, let's again take a look at the digits data. Here we'll use KMeans to automatically cluster the data in 64 dimensions, and then look at the cluster centers to see what the algorithm has found."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.datasets import load_digits\n",
+ "digits = load_digits()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(10, 64)"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "est = KMeans(n_clusters=10)\n",
+ "clusters = est.fit_predict(digits.data)\n",
+ "est.cluster_centers_.shape"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We see ten clusters in 64 dimensions. Let's visualize each of these cluster centers to see what they represent:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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jYaVFkN2SduesJlOy9lHBuoSYugQzJX5uY3ylZBbguR3AuUwy5aLPr51WV5rR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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "fig = plt.figure(figsize=(8, 3))\n",
+ "for i in range(10):\n",
+ " ax = fig.add_subplot(2, 5, 1 + i, xticks=[], yticks=[])\n",
+ " ax.imshow(est.cluster_centers_[i].reshape((8, 8)), cmap=plt.cm.binary)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We see that *even without the labels*, KMeans is able to find clusters whose means are recognizable digits (with apologies to the number 8)!\n",
+ "\n",
+ "The cluster labels are permuted; let's fix this:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from scipy.stats import mode\n",
+ "\n",
+ "labels = np.zeros_like(clusters)\n",
+ "for i in range(10):\n",
+ " mask = (clusters == i)\n",
+ " labels[mask] = mode(digits.target[mask])[0]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For good measure, let's use our PCA visualization and look at the true cluster labels and K-means cluster labels:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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pWsVpH/GxAbGTgx1RnyJUTNFUzVEM7jWOdfaVAe0vOgy2GIcsBKaQudSDFpik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\nYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.decomposition import PCA\n",
+ "\n",
+ "X = PCA(2).fit_transform(digits.data)\n",
+ "\n",
+ "kwargs = dict(cmap = plt.cm.get_cmap('rainbow', 10),\n",
+ " edgecolor='none', alpha=0.6)\n",
+ "fig, ax = plt.subplots(1, 2, figsize=(8, 4))\n",
+ "ax[0].scatter(X[:, 0], X[:, 1], c=labels, **kwargs)\n",
+ "ax[0].set_title('learned cluster labels')\n",
+ "\n",
+ "ax[1].scatter(X[:, 0], X[:, 1], c=digits.target, **kwargs)\n",
+ "ax[1].set_title('true labels');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Just for kicks, let's see how accurate our K-Means classifier is **with no label information:**"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.78853644963828606"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import accuracy_score\n",
+ "accuracy_score(digits.target, labels)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "80% – not bad! Let's check-out the confusion matrix for this:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "[[177 0 0 0 1 0 0 0 0 0]\n",
+ " [ 0 154 25 0 0 1 2 0 0 0]\n",
+ " [ 1 3 147 11 0 0 0 2 13 0]\n",
+ " [ 0 1 2 160 0 2 0 8 10 0]\n",
+ " [ 0 11 0 0 160 0 0 9 1 0]\n",
+ " [ 0 0 0 40 1 139 2 0 0 0]\n",
+ " [ 1 3 0 0 0 0 176 0 1 0]\n",
+ " [ 0 2 0 0 0 5 0 171 1 0]\n",
+ " [ 0 19 3 10 0 6 1 2 133 0]\n",
+ " [ 0 20 0 145 0 6 0 8 1 0]]\n"
]
},
{
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "# reduce the size of the image for speed\n",
- "image = china[::3, ::3]\n",
- "n_colors = 64\n",
- "\n",
- "X = (image / 255.0).reshape(-1, 3)\n",
- " \n",
- "model = KMeans(n_colors)\n",
- "labels = model.fit_predict(X)\n",
- "colors = model.cluster_centers_\n",
- "new_image = colors[labels].reshape(image.shape)\n",
- "new_image = (255 * new_image).astype(np.uint8)\n",
- "\n",
- "# create and plot the new image\n",
- "with sns.axes_style('white'):\n",
- " plt.figure()\n",
- " plt.imshow(image)\n",
- " plt.title('input')\n",
- "\n",
- " plt.figure()\n",
- " plt.imshow(new_image)\n",
- " plt.title('{0} colors'.format(n_colors))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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IuUC1uRoJF+WSlMez5qPxOdaGNnYZmcCDqxkLHT2oNVIQH9cqZSOv21GpRmw/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\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vJCWN9My5QLwkApFhzt3mt9b6VsyFwSt8RoSEzxHd6ILJzKURKV4kA5EyS21Zr9bspxnX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\nP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2gYY0MDkaBWB6QvmNYzkizmYjIj/kqCMhy2B5dU7hSybjlsdoSJjwgtUSRIMjC1pnkK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\n/7tSpWkGayJ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D54ThlEBYbktNp2ZJ6g4m9VFjQ8OVNFRCW864VzPMWw4138P3PZ7OLU9nCbHV\nJFiSVGPnIUHNZ2NjDWM13/z0E57vDnjv/Y+5fuMe9eYGtaCJ57o4zupnn686RW9mQRZ7LazasmUd\nawu2ZK0k4qDOeaUs8QKF8jxxF0RmJM7zWRRtP+FQXZ8VKcBdwRud81IZ4hM4SxesgkWFvPj7acb6\nsnGksxggZNZ8wxiNNZo0jYiikNHoBdvP7jMb9xEmpaZjXJHQ8ixh3SWVLk5N0vY7NGqKQGne6dQI\nbm/RDFzqNZf7o5TmMKEvfQauJMKQ6uxz811JEoW8eLHHaDLFcR3A0olT2msWUa/jyBpL5f+8xBwc\nYntU5VibeUlUXoO7rB9FodoL3Hzs4ZJu7pmxHBrL4xD2/KeIKRni14n1lr0PV4XKEL9ByrW+5VnF\nV0UJC5HNAFalsyjVmnmSEs2HhPMhk+mI8WzMoL9NkkbIeI432ccM+4RJjJQK3/dodxpce/8WG+u3\nadx8h9Rb4+7H38eHm3Vqdo5PyHs64EdMwIPtAd993mc7tuxqhzSc8eR736XV6bBx4xZevcGTZ4/Z\nHw65eWePmzfvcuvabXx1DeF4COVd4FG7/AhRNLrIso11Ka9RSnARS5slXVF4A17/feVQgzZgzvD5\nFg1ArhqVIT6B8xjOcqOOYh1XRwnniWx5ow7IjkcYhcxmM8b7O4yGzxhP9hnNhsThDGFTajbFD4fo\ncExqUoxSuJ5Pu7POvQ+/xo1b7xPaAKzLzbt3uftOGzF7gZzvcdffQNc22fj0Ac5shDs16NShPxzx\nor+D1Sm33n0X5SmePHrGtn1OomcIG9JwBA3Pw6t3cCpD/JWjhECpXAHnp4O1eTLQikcIzhrHXMWr\nQJHU9apJWIss7qs5Y8BXXpYBw69JZYgXWDSexzXnKNcRLw55KE9NWlTIl5VsvwWqtJ9aG1KtGexv\ns/PiMf29bfr9HYxJkBhavmJts4nX0FCPmNcFYkcShjFCS2oROBpcm7JudgnSOc5wwu5szLi/y7j/\nAqOeY5yA3b195GRIKxJsaQdtU+Z+nUmY8Pi7n9Fotwm8AM8PYDZh8Pghn8cpk8mEW/c+5vrN5gUf\nwauBIM+GFtl5lOg8h2CFTw1djD98RYWEyMueroLLtSh3Os+uXoXjcxyVIV6gaCF5mootG+Nyu8lF\nY1te7jK7p7MLrDyihFOtiaKY/f0dnj7tsbP7gp3dPg3PYb1ep1Fvc3ejiW8lYSNi5KToKEHlbrBa\nAlKDMjEcy19pAAAgAElEQVQbyQ4b4S47L6bs7Ex49nyXZ893j26BgLpWbGjF1CikW2Maxjz5/D6b\nG+vc+fD7aAc+6Wif/eGAyXTCYDbBa6yxvnkbpRRy6aTZ5fi+lPdCySxxJ9GCJM1kklzVWKs9TDZ7\nlWKUItvPq2BoCkN8Ffb1TVEZ4hNYHLJQHuxQKOHyNKWyES63uiyM+mUywgcDGyjGDEKqDaYo5TKG\n6WSf6aTPZLhLNJuirKUd1LjtC96rG+50XG5udbAzy3A3hSghdRxks0HkOJhGk3GcwPM9+s8/R24/\nYjCYMdifE8cxcRxn2wJox8M4HtPEMoljwnmCmSVYAdQU88mEZ5/fZ9Ro0vY9XM9jMhyxHxnmoeXx\n4yd8+NHXef/97oUcz6zb0fGNRrQBfcJVXogs7rqsirLoLnrQtKOEFOA64qX2iauCthCXs71fwbIm\nIJXrhHUppnvW9x4Xzz3rxKyibMoc073rqlEZ4hMojGy5i1bZbV28rrV+aQhD8ZpS6pXqehWRQmTz\nfoXAJpbUGLTOypIAjEmZTgbs7z1mOtojnM4ODPG9muEH65obbZe1ax1muzEySdBRQqocbKOGDWrE\ntYBJnDIZ7zH+1kPG3+kxnoRMZzGtZo1W0z/YntSXpEHALEmZzWOi0QS9P8J6Lqg286llONinUa+j\n7t6l2VlnfzJiGA94+MUjmq1v4Xr+xRnifKTj4oVIm2zE3omGGHAdUEtqygpX9HFVYoUyXlUKA+LK\nrMxmVY2IIGtxWRjF1wkFK5Ht/5dB59O3hFzdY/gmuPKGeDHO+zqx3JNqgwslvOqJWjJvnFH0gwby\n0YVgjEUIi+tIrIl4/vwxe3vbhElCnCTYZIpNpkSTPepmypoj2fAc7rU8Ou0G0mqmTx4zH/TRYUQx\n9871Atau38G02pgkRU9GqM1rNO7NuGU0CkPn2iZrWxvIdI5IZ+ham7S2RhqHpLMxs3DOOIzYCS2P\nI8nuNGY0GqGNZq/fZzQLmQiXCIUnDImJ+eZv/31G4zFbW5tcu7ZJu9mi02jheA2UV0eINyc7pcyS\nl4zl4LiWyeovbSmZ6aQa9uymqGJ5KJc5rcIwCAuk9vD31yGbxXz25YXIbr7KX1klKiMMlSF+KcGq\n4CzJFycZ2cuSnCWlxHUUxhgSm7ngndwPmqQaKcD3HXScsLt9n0+/8zvsz+ZMw4hOUKMd+AR6SqBn\n3K25fBjAWqtBa71NGsZMnzxiPhySRuHB33T9gOD6XdTGNcL9XSKjCa5dQyrLmi9Yrys27r3D+r13\ncKI9nHCP1F9D17aQ8RgV7oGJsdby7Z2Yv/Ngyref7JOmKaPxiH6/TyqG6KCN8OsomRCHht/9rV/l\nN7/5Db7/6x/z9a93uXfjNt6N2wTN6yg3rzd+QyghcJU4MbZorCWfV4GrTp5EdMWvXUuJJfNiAHgr\nUIezWB/9OhSJamelMLqFJ0RwdcuVFrlyhrjsWi5iwMcNbFhs5rHq6vY8GGNIdbke0KK1IUlCxqM+\nUTRFSks4HzMY7pKmCWkSo5OINTfhvXRG4EBQc7hTl2zWDQ4h8USBTqjJiJmN2J3MmRiF2NjA7WwQ\npRHOuM+ak1Jb80niFkZGtOWcpoqY97cZjKbMh3vMh320CjBuA6EjZDJB2MyKPRunDHcj9GCOGU+w\ncZI1GHEdNLk7TnlI3+X62hb1tU0Ugs/vf850OGGvP+D99zRfa20gpUOUFNnyrxfzL2poy48LNeuU\nBslnF0WLMUUzGGCJ2jxWvJoiZmytzWYt28PnV0Ehvw7F/hTG/FX7d0Urk87ElTTEUsqD8YTlhKwy\n5dhw4Wa+ahhjsdYA9sAYW6uZzab0d5+wv79NlIbMoxmz8fDgfQrLdTvn6zbBd5v4jSbrdcN6QxMm\nc8bDFN8xNGsJfRGzPQmZey2uXbuB01ljPJ7ihmPe2axze81nqhvEKqKeRLjRjOdP9vjO0znbOwO2\ndwZZbEtIRL6tRcZJaiDWhkQLtBbguKhmDeE6aCkxQoJXQzVb3Hvva7z7znvcf/iABw/u82J3j8bz\np/hBm+6HXaT0mGmNReAKdebmE9kFOFPAR56kZKALQ2wyJWyMxVIphVWkSFTSNvN4FM1LpAD3kmVN\nyzxGnJq8JpzjRyqWuUS7/0a5EoY4uxgaFBaJRVqJxCDFKQGO/BsjMUhrEAttYawQWBT2DbosL4oi\nFpxle+dlFlKA0VidkCQRYRySJglaayaTAf29Z4xGu8Q6weiIwM5pNzT3GgGeCPhITrglJzi+xK1Z\nAs/iSEvquEz9BgkJMrWEuMR+HR00ELUaju8RpBo7nbDzxSPGsxHRZEo6n+KmY1Q6oT9XWMdjbXOT\nequDqwyuY0F5WFU7+EyESZA6JDaGCZJQuCSuz9gqvpik7IQGazTTMGJ7dw8rJHv9PlEUY82AZDbk\n02/+FiZOaa9t4tdbNJvrtNsbBLUAz1UIITH2+Nm0haE9qXVjoYCFzbKKs4Yohy1Ss4t6delaNQSH\nIxOFzD1rrOb4TUHhvXn5taJWuJhxXNyErOBuXjhXwhCDxREaV2iEzb4mCnDk2QIcxXuOrNFKtPSx\nl2BMtpISx1WkaaZ4s9iwxKYam8aE4ZDJqM9sNiWKI6bTIYPBC6azMdZaPKlpByE3A8utdoub9Sb1\nxKURW4SUCKEPTtLYrTH213DDEDvTzE0N27KIoAmOg+s4tJsNZvMpD7/zPfY/62G0wRqDQKMEtLZu\n0Nq6xt1Og41Og1ZgaAUa/Dapv46VLgAymeJEfdARGoi0ZBK5PNqP+dXPd4ifDdhPE4ZxyjyMePTk\nCY7K4uLpdIJNpnxrf8TvfvtT7r7zDh989DXu3f0IIR1c5VJzFUpBqgX6pWlbecbwKfU5WSzY5i69\nvJRn4Yq3ihfvikOjZPNrhzj4b8UQxQjIl58vKLukV3EXl4ErYYgFxV1q3metFLc5CYvMlZU8Npsw\nGwx+Ob521lqMtmA00iSkyYzIJKTxnDSaEc6GxJMBcThjFifMZxNMNCJIZ7QcyZovud7wud6UXA8E\nm26EwiAP0jIsiRaEkWQvjngU7WPjmGY8JxYe3sYa7U6Hra1Naq5iMhkRE9EIXOTmBo7n4rhOFgO2\nKZ3NTdobbTwEfppg5injJCGRhljExEaQphqSeZbAJQ3K9zFWEs4N8TihoWOuuQIdhoSzlNhxmTsu\nvu9R8z1cY7BW4bkeQT0gDac8+/wzktmc8XjO7Zt3uHPjGs1GC42HFc5BYwprUsCAcBHq5FOscFuX\njW128eagJluuqJKqODpB6qA86Ayx1IugULYvPS9eXRe8ZLuyklwJQ3werHiV4hW5MV59tLEYmyJ1\ngjIRs+k+w8k+4XxKHIWQTHCSCSZJiDQk6QxXz2iJOe/6HrcaNdrtJq2WR5BOcKIhmPTI34gTyTiU\nPNub8t3dPWKtqTnQ2brB5p173Lq+xd2NAJFOCEfPUHbGvbvXqd/cIui0qTVqqGiAikeZYXZc9h4N\n2Hs8YBSFjNKISZQyC1Om85jpLCZNUoRJcQKf2vp6ZszDOUYbCBrccF2iNGQ2nTKrt0gdlzhJSbWm\n7rnIWpPrt+/x7ntfY9zf4dnn32Gwvc3TnR2Gww/w+D7ktTvgrSGdAMdRSGGxaYQ1KVaSFfqegMyb\neJQv2JBdrNM8auLIKlZ8GbB5vay2diljxQfNV04wxhVfLStliCUWKV5/XPShGn49hM0qza2Q2Ld6\n32cR1iCwJWWev5KPZ8ySyORhP2ssSmTvMVaU9lZk7xd5zTMCXer8JQTE0ZwknmOSGTqZ0t/fY7f/\ngiSJwWh8G1MnwpMpN6RFehGqkdI0htuB5lpN47sJvhAoGyF0dPDXEy1ItWAvTNieJny+u8/3HvaR\nns/mRgfPClLhkQqXWBtUFCFnE7zZBD+x+FZgo5gQQzwLSeYhQk9Ap4z2QkaTOVoIhBNQUxZVszhB\nihfE6DxTRrguKgiQWIROQGkC38MXDjPHEhEzMRHj1CWSikg6xEohNUyjhPFkyv5ozN7+GLeeotYm\n7A9f8L0Hir29ASpYw6s1qfkuvqNwMHhK0ems4SqBlQ5WHLavELkbupjPXJZNpqSGFw30qpGpQIsu\n5VectevSqmEtFBknx0UjDmKtvN39L/5mochPUr6FSj/tBqFo+PG29+EqsFKGWAmTxXnPYVQzA352\nhNUoLAaDxgPx9voACSzSJkir0dI7osoLw5tNOZKkqSVJDEok+CpBYEmtROexKSskBg8rFI7Ksn11\nXO4IJrLxhMMdJrMhk9mQF3u77Ozt4ghB3XNpuWCVoVNLeb+Wsu4kiLrBQVFTFl/FSKuRoUTYo0o4\nSiTTUPJ0Mub+dMBnu9s8ePycjfUtrm22EMBkFrE7GCMiQxAOYH9MsD8iHc7pT0NG1jBKNbuTkP4k\nQoQzRDgj6KwRrK1x69o6d6+vU2+18JoNrBBofThPWicJ0Swknk1JpyPCMGSiHYbzlLCmsJ5hZCPq\nsaDvBkTSIUlStDY8evKEvX6fOIoIw5Tra3XW1tYxWvOtTz/BGPCbbeqNBu2gRqtep1lvstbuoERK\n3ZNoVUc7wcExcSQIlcWVUw1KWhwpDvoWw2FryFW+4JVVIOSlPUq8HG+8BBiy+mFBlh29+LkVzSyU\neLufaRHfTUtucUce704+bbsKQ65tlpi1UoZjBVip4ylKqu9NYRDYkoKUwiLI/mE1AokQtvQXS2pV\nyDecrFWs++R9PJJFayGK5oxGAxw9I5ERnuuh/DZC+ZkyljKrnZWAidE6ZjaZMJ7N0FqTpinhtE80\n3WMyHzOZjxkOBsyGfTZqimt+wLqjaCi47mpuuQkbbnHvX2yLBqtBL+yNhe3RmPs7c16YmF2bIoMW\nN297rHXW6LQ7WWJUNGO4OyOJR9TDfRqTffx5ijAWIQWO1rgkOK6LCjxMatEkaOWRuj6xFYRhDCok\nQaI8B0fJg9pdoQTCc/BFHVFTpElCEENtnlBXmmtrDabGYYpD36kxcAPGkxnjyZRJOOXFdIIkK9WQ\nRmPDGfF8xmh3l2kYYV0Xx/dp+j7NesBao8X1zS3avsOtrQ20TtBGgVQIqTCAEXmL1ERjlUQ46sDr\nIuDSDAgoj78TkLnrORytV8QgFx+vIlnWyMkbf1H7ZXm5jvnYvJdXXFaLl0/aDVtax6p+hhfFShni\nrwJtJYnNlCGAg8Y5RXULm6lVYQ1Gem+0fKlYt7QaIxyMdF9af9EJzCJIUsNotMfTZ9/FhvsEek6n\nvcnmrQ/x6rV8vxw85SClJQ3HzGcDdnd3eL63y/5oxGg8xldQk5ZUp6Q6QSUhHRI+CAw/uq7YCCSO\ngEBZmursN0HGWj7bec4vf+sBzfVrrF+7zde+do8f/vF3kNZg4gmJ1sTJlFl/l+EX38Obj9lot1hv\n1Vlfb9IKHG66Kcq1zGSbmagT7g+J9vcZRynjKGWyP+STR18QJZoosbieoh54B13A/CCgtbZOu91i\nrelTb9fxNKytC+R7t7K6YitJEMRSEQvFZ/cf8dl3v+DBOObBzOBIS8cBNxwz/OIBjutSzwIBvBiN\nmCUGR0lqjqLlCiabG7x38wa+65AmKSaeId0aSJW1r9RgkgQTh1jlArWsN/klUMJnQZtM/TtSIFQ+\nxUjnk5hOKPdaZjKlKZYunKAXlLAp5R+8LsU6TrrimaJv9DF5DxWnc2GGWAmDOq2OF/JY59v4NA/N\n7jGtPRDWIHO5J9BIm2bxY3u2XjG2iNMurFMcPOKw9jV/LtPFEmEtghRrDdYahJBIIRkOBwz2B4z7\nXzDZfYCOx4yNJkktfvsGNeEz19lJJ6XA6Jhosks47TOdj0lmI0b9Pbb3Bmw2PPyGR0OCr0DVUoSA\nD1uWD5qajv/6HojUCOIEnu1P+eTpDu9761y71WZz8xZ33v2AZDpi/3lIGM1w04jpaIfp88fE0ymu\nvoGSEiUlwoEaKb4Ap6Fo1erUbEoiNG6Y4oUJIxMznE8xYUgym6HnoGfZzVVqs7aZszBlPouI2nUa\nQTYwQipF0G5R82vUXIXrOTiNJm6jiRfN8EYD6g1NPRLYNKGmIxKtmY5HCOXi+TWMAeKINIyZa8vI\nGCYixYZTHj/6nMe37jCOLdME/EYLv96mWW/QqDeIwwmT8QDHCwga63i+j3QObwrLCuNS1GceswPG\ngsgnTOl8h+0KdBMrDE2RZyHI3MDFZ2ZZjs/M2sxRteh5OOmMPs6AllWuKBY66e+d/nLFCVyYIfaE\nxhfpia9bIEXlqu6rI3N1H27HgVu6eGw1khjsodksXNOZMl7wxx6DEQ5GeAc3FdIapI3zTlB5hjZe\n/tMFVNYeT2e1z45ISdMIo0OkquE4Pg/vf5tf/81fp5MOec9LUJ7LyAsQYUQw2seJYsbzKePZNHOx\nTsaE4yFCR7x3a4M7G03SWY0oDLjWMNxqRNz0BDc9cKwF7dHxBME5AnrWQhhLxnMIoxo6beA6bVrt\nDYQ17O8+RQ/7JM+f4MdT1hxDw8zAk8xjiZ5PGG5H7D+zGKNJ4hhtDe76Fl5ng1oaUtMRa5tb3Nja\n4taNdYTzMTYaY+b7hNOQ6SRmEhomiWU2j5mORuy/2OWhKTXfEALHc/F8j421JusbLdoffEz7w49w\nGy0+vHuDd1yff7hWZ9Af0n+2w6PRnPtzwzAxJOMQJSx1B/yGQ3+WMo0FIYrdWcJv/+432N/dYYbL\nXHhsbGywsbnBx+99wOb7H7I/2+WLZ5/TqK9xSwiU6AA1HEegct+ezrdXyeUdd3gepAQ3H3yRantQ\n2rMqqFwBLyZm2VKc31lBz8Zi9nRhyIu+0saenMl/JP68Yvt90VygIs5cwKdhEejSJypeM+HqLGSZ\n2Cdvh8C+lIB08JrViMXA6AlYq7IM7DyHMVO6uUfAghRZ+0ShMney1dm6FRrHxmBDMHOUFEgrCWdj\n9na3cewY2bRAC9yAJE2YjPuI2YhxOGUwGrLzYof9/oBwHhI4ig+2fO7UO9iWwo0VNwLDjSDlXk1w\nzy+K98/z1RBYqUiN5PlwxoPnMwahot6+RXPtJq31Gxhr2HvxHDHex5lNqYmEpifx6jWia1uooA6A\n0SnJbEo0mzGdxYSxRoXgjiMCExGYGMd1aXdaNFprNNY7eNRx0jrRLGQ6jhjNLcNEMtif0N9+zjCO\nGM/mzKchOkkwaUpqs05WmxtNNjc7tPFpey06yYyO73Kz06C9sUa/rngqNKo2Yz6KMaM5+6MJ1iS4\nUuBYg9IJNk1JkEyN5tGjh4xfPGGuaoQq4NrWBlub67g2oekIHr14zmcP73Nz6xabzQ6BH2AdD2Py\n77rNS8uMxRqNFZlHJMuAz3+y3C7Asios/y6zgGrmoi89lz+9dCweZ5nfGC1uqyXbnzwpfnmwh0r9\nVZTnDFsB1hwqfQMIe3KyV1Vqdz6WOkasMPgl4ysX1OqqINAoEx2J+2rpUVyChLVZlrawuI6Pcl2s\nVVijkUmKSC2OcDAqyNaB4P33P0LVOqS738XufgfhSDZaAVIZ7HQPrVwc6dNwPDoSpAep36IZBNxq\n1rjjGTZaKR8RU3cMdUfQVF/uRLJCYpwmM+3ya/cf8ku/+i3qd9/jvR/8EW6//zU6N96hv/2M59uP\n8NFsdjawdY+k7iKsoXUjpJZkNz2eiWnHfYJkTJJo4sQwjWAaGibDEdP9mJ3nL+j3hzRaDZrtJrXA\nx695dBouG02P5kadDdniVgrh7B3mkwmTwYjpYMh8r89sf8Q4SZimmSt+NJ6y/61PsQ+est5psNFp\ncnOjya3JEDeoc/feDRqbMbf2Jzx+sc8X2wnPByH90Yz9MGQeR9jUIIWD9DzcoI3nB8RWYa1lPJmS\npimTcci3Pv2M8WzKYDzkh75P8/Hdd3HYyLq9STDmsJm+0SlpPMKmIcrxUcpHuD7C8XN1spxXP1HE\nFEuZO4tJPIUyPngMS2mJlQRHHN2P4zaz6Cld/L4sZFndFC2NzkzhchccKmNjD0cnlilaXS7Rbq8M\ny22IhVnp4eEFRSY0ZMrYFrXJRqCNBpOg9BxHWLSog6hlsSdrSdMQE09zBW3RxqBtwtb6OusbN3jx\nheFZ8hR0QuAIBDFxOEYoj3qwQc0B37esNwS2VqPZbHCrLrmuIlQQo+TJ4YGDGmoLVpss21eqA2lg\ni2UspFqTGEiExyB2+Z3HA/7Wb3+HH2ld50d+cAMVNImMZDiZ8Wz7BWvtBus3rpO2GuwriXIU3qaL\nEoJUa3wzZ4s1rjHNap+1ZW9vxu7ujD3PRwuPwWjM/vM9av0R9ZqL32zjtjrcvt5A+QHNukQFNZp+\nizXPw6aa+XDMbK/P5OlzRjsv6M9n9OczJpM54+mM8fMdxuMvGNy8xuDWDaLpGD0O2Lx9i/V3Nrhe\nr7NWc1hXlrqOkUnEaDohms9JoylWp+DUkErgeQ5Bs0kYAZFlNpszmcx4nOwQxjE6SUiThK1Gi8HH\nH1NvNnG0xfEbOG4NIbPTU+uY0XCXaDak0VijHnRQSBzlYaxA5oG5ZbsAZpm62YSpk1jGLlOLnLYf\ntvivpOaXURWed9QhlNp1msygWw7HH5ZX6whQVZD4XCy1Ib5sFMq46MgVxxHT2ZhkPkbGI6yOCKVL\nKj1c5aKkIo6nJPEUV8e4OkY5Ho7K6oKtUJjJE1q+Zj6PGQ77KCVpBoKmSmlpCKRFbVrkhodVFs+N\nuKEMKlRIHZ66vUbVMG6TJE6J5jNCFGGtQao8AKxU4AREKeyO+/RHI6Z6ymAa83wUs+H5DB494h/8\nyt/m0eY1bmxtMZ+OGe/3qfl3cD3FJIz4/PkuKI9bN27iuC67wwEmnvGkodgK1nGVhxKKeS0l2tL4\nNxzeUS7myWMGTx4xi+aESUScaqL+hN5wxN//3BDUG9Rb63S2brJ1+x0arTVwA8zGOrF3k2hzTDre\ng/EejCcwniImM8RkxhzQ/THhZM72jkNzaGiOoNXp0G4EpI1N/DsB14MO82Yb8XybJ0+f0h9NwGlA\nc4Pg+l3W7t5ivjOAFwPiJCGKE/ygxmanxXhvl+Fgh6ePH/Ib3/oG393ZRjo+N27c5aOvfZ2tjWsA\nTOOQ+48esrf7jK/de497t118WaPuSVJtibXNlPGyW7RLSDlT+FWTh1aZsjIunnjdecQVJ1MZ4rfI\ngTLOpCQ2DUnCEdPxC9LRNuF8zNAqQhxc6eIIh0RHpCbGS+f4aYjnuPiOi+s4uI5C2SnNQJAmEI7m\n+K4gaPpsuJY1ndCRgnYbAs8HkcWipbQIkzeUsE4+b1lgTD6jOd9eQw2tOoQkTGPDBMXEbxOLeqbY\nlYd1W0yM4XuTOQ+f7TGdjxmPJwxGIS3XYfj8GY+efsHTtQ4b62u4rotSio31FnES0Z/GfHr/MVbV\nMKqJF9R4+KzPNJrzbGOd9XaDmhvgO5nxVzXF3evXuHb9GkH7PiroEO73SYcDxqMRw/GI4WDKcDhE\nKUWn1efGnZR3WGfr1ho1v47re8jgBmwkJOMd1OgFzmSMO5ngjMc44wnx3oDpi332RiHGGrwp+FO4\necfyzr06rVYbp77GenMd02hiXY/RJGQ4Nwi/jqi38Ne3aF6/jTdNsDsD0iQlnM9pthpsbHTQ4z6D\n2Zjtp4/4xicBtcdfgJB8+P5HrLc6NGs+SMloNOD+o4c8fvIA33VYb7doNBoEnmAagU5NNuXpor7Y\nHF6gL+N1uVC9x+2bsZBYe9is4+1u2lfKYt3wYh2yNccobXH8e1+17qtOZYgvACsURjh4dYcbQY2+\nI+jtPGN7d4jbaII07A52CWdzNto11ps+VkhCt87O/ojx/jb3bmzw/u0tfLeFtB5rborT0DQduNWQ\n+KSEsxnPtWEvCXCFh+s51DyP9VadoObztB/yfBgS1DzqNY/RbMownGKK7k5JA5X6xLFirhuEFuKp\nRaaGwK/jiho2kYwmU54+/IJH3/k2DSVpGsPebMi+ToisztriSYnruoRhzGQyzTKrw4jUQn8wxq8F\nvPDBqQWMRlMmccL/z96b/EqSZel9vzvZ5Ob+5hdjTpWZFVVdZLHZajRBadHdIkGAK/0L0k6AllpR\n/wIBbQlBG2ovQNppAASRrQmt7lYXq6tYFZVzxvAi3uSzjXfQ4pp7vIiMyKEysnKo/ICXGe+5uds1\n82v33HPOd76zmi24rxRaatQQplVScu/aEdevHSGl4vDwBn0xods95LbWFGnKg8eP+NX77zKdTVm3\nPfenSxa/eZfy0RlFnjMqiqiNPSrIjaE4uE2xZzl0HeezGWY6Yz66pC0uWC1WrJcrcBI9r+lGK/RO\nzb7OyPMMM8o5LCbo8T42KcnvP2CxWOD7dRT+qGpcbxEEtO9I7ZoylOxJSyWiNGk1n/H4/XdJygmq\nKBFtD8sFvz48RpcTlk3Du+/+hovzU5QNrBZL/tEfK25cu0GvoFfia80Tb3KDEL3DLxMG/aZiU/v9\nLLaCJd8xi7IJP4fwSQ3qjScsiCI3G2ymoL/y+osIbS/67N9XfG+IvwYEJE4kpKlhp1C0fc151fHB\n2SXXkORJyunZKdPzC7JXjrheHNLonE4XPF6d8eG9R+RFyg/Tm+RDTWxSwjgEdlTghvH07ZqPreWy\n6XG+RLiSQqRM0hyzs48Zl5xUM/79xZJdkbOb5JysLnlYXWCtJXhPqhNyI7BeUPcm5rObjiyR7JQF\nRSoI9FxeLnj48cfcv/trXhsXjLMUu16w8P32mqVUGGNYLFacnV0ymy14/PiUPEsxxjAuC87sGpkV\nLJxm1QXWdUPbdggpBpYwKKV4eHHI4dkBb732A9569Qe4vKQb73Dt8IjXbtxi796HTKWi+vBDVo/P\nuZyvOZm9j9GKclSwuzPh2vEh164dc3x0k/H4mCJTZEYQygva/II6GeGTgkqfc2klfd8TljVutibb\nq3BZyY6W7OZj9iYjRvvHdCZHZAUP3v018/MzfLOmWa+wXUsIHuk6kq6isDXj0JLhkELQVGtsU2PK\nJb7YVlUAACAASURBVGbnkH6xYPbBr8iLnOToBlannJ+eUy3XrBdLFos5b77+JloKlIg17iGAc5u6\n1pit/EQv47Chu77clU8MpTyBQSf7qiH+jiyyv29h2BAGwiBs9ao32IiCGMlz8+aeJ4ZYhufXJW+I\niDH//pVdxrcG3xvirwkCaJqaernkw/fe4f1f/h0fvPtr7M3rHBweRI3nN15j//CAfG8f4UEGweHB\nIQDHN16h3L3JKM+QUlF3HcuqYs7Q+zctYW+Pwmuc2kHqgiwR6ESyCop2LVj3khAC0/mc6eycs/mC\n8/mc+fk5i7NThPdoZXDO0touGhOpMNqQJRlKRtWo9WrJ4wcfsW4a7tmecyW5rFuMNvTWYnsXQ94h\nGtI0SxFA3zucq/F+zXK5Zr5YoZKEXhhCkCjv2dWaycEeo71dVFGi8hGp9KSi5+Kj33Dx/juDCESg\nKHf42519Vn3HfLmkTA2jwzF1CrP5nBAsuzqnlIF6teTjzvLo8SVpmrOzWzIeF0xncy6nM9ZVxbqu\n0Uqxd7hPXVWsV2vqpuX84pKqapDyhCxLmZQFIXhOz8+5uLhgUVl6EqaXM4JzLOcL3GJJN53SzeZc\n6PjYzdYtYrTLa6/u8Par1xmNxjiV4OsKPzunsZZF19H1AS0lk0nJ8fERt199hWI8obGWh6cPuXfy\nYDuvJuWE3XJClpckWQlC4XxAeIv0bTTUOgX58h99KaKW9MY7/i4vsmoo1fHEKMB3DWKIcgwk/qcQ\nmeEvJqUJnuTLnxeo2ehuS7678+OL4ntD/DWibmrmFyd8+P47fPDLX/Dhr3+BmN9GvfE619/+Ecev\nv8bueI+s2EG0DbJtODw4ZDQece3GLca7NyiyAmUS7HJF21xQ+Y5eKJLEYEYphRnh1S5CZaTSoulY\ndWva9YpVJwghMJvPmc0vmK0rZuuKk3ff4eGvf0nXRDKXcxZre4QQaG2QMmYjnXU0dYtzjixPMUYz\nsz3OO7TSaG2wvcfaLvY7BpRWZGlCb2386XqapsWHgDYSrTVGa3Jt2DOGncmYW6Mjjm8dYA6uoXcO\n6C8e0V8+5t0PPuSddz9EqRj27k1Oq0eU+/scXTtkvzDsF2NqY2F1SddZdjXkCs6XKy6bKeuqpust\nh9ePODjcp16uqJarrVeXlSP2D/dYzBRN3dA0DefnU5y/YF3VIKAscqSQrKqKpu3idWKYTqe001P6\nvse2Ld1sQX055yJ4qr6jT0bIcofXf/hD/vwf/5S90Yiqalk+fsTsg55HF3PWXUfvHUZKiiLn+o1r\nvPLqbYrxmLZ3nJw+4Jd3/7/tnLp9fAN5/TaCa5gkJ8hI6BK2R9k1SkqQesvIfpnYEJZ+HyAFGCWw\nPuqGf9ewZX8/5/vcbEJehM9iwn/aZ/++4rd+Gu/cuXMM/A3wT4gbw389/P8XwH9x9+7d797sfEkQ\nRGWt+dkDfvZX/yfv/OpnZDpw+9Y1nHfcv/eA5arh0QcfodOcJC/YP77G/vExSZaxM4g/CPFEYjPP\nRxwfZ6yqJdXqkvPZBcuqYlV1VLWnay3GVgjb0DpLY3uq5YJqOaduKpqmou57mq6nm14yBjoEXd/j\nBCRphtIxvCyEwDlPL3uc7QkhNo9wbuP5+q0SmZCCLEuRUmD7HkIgSeK0s+5q0i1OlxA81jkaH7js\nLY11rD74iJPlknTyMWZU0i7mtIsF09mcumkxOtbphs6jfIPt1kzrS9pUM5cC33VUdUPwgdl8RtU0\nNEGgXCBzPYaAqRb4qcOt1tjVejuqqprRXGrqxRp3OQOgT1PQCi3ieNv5Bd46+q7HO0cvIIiAV9BK\nYgMKKbFJSldOEFmJ0CNs7+mqKQ9+8w7/b7Miz1JaHxhlhusHB7x1fMyNpqNvG7SrCFTM6o84eW9G\nt5jxzt3fsFhPaauKpu9pe0uiEnKTo9Mxk11PlghkIri8WPLBvXcRUnP91luMd9IvPY+liHXAv+uO\nQt8kqMHtf1bw49uCjXd6deybsDE8iWp877l+tfitDPGdO3cM8N8Aa+J39V8D/9Xdu3f/4s6dO/8K\n+E+A//GljfI7BhEcKnjmpw/42V/+H3z0/q+4deOQye3r3HvwiPv37nP64ccoF2gkuNTw9/74T/jJ\nf/DHHB/fZDLapUiLbXchgLwoyXdL5OU5l5cXPHx8zkePHnDy+BHnpxesLi+R1ZzQVlRomiCRzRrR\nVgTC0OcYIDCWil2l6IRgaR3eaFSaorOUJDEAdH2PENDbPjaLsHbwejfMFQsioJQmSVKklPR2MMTG\nEHysiX4WIYTogQdY956L1ZpHqyXmwQPy3JBmmqbqqZseKRRKKnwaGdW6bzFtj10GptPAVGu0TNDK\noLVCSclsPkNKGTs5aU025LBMHQi2wq0rXLXeyi1aa+l7i13X2GUFAXpjUHmKGRdY72inC/qqiSQU\nAp2ETgo6ram1oSwLRqMcl6Q0ZUrIC4QpsO2cbj7lwfSc5TvvIY3GZpo377zJK2/8Y96+eUS5nFJU\nF+Rdy2I959+cnvFXD3ree/cDWrnP8dE+h4f7zKuaeVWTqITCFOzsHiHxjBJBoQWXj5Z88PG7eGEY\n7V5nvHPwpefxRrxCfoekN78ovu1GSjKIrgzX4Ib87yYfLocox+/xV/w7wW/rEf9L4F8B/2L4/Y/u\n3r37F8O//yfgn/G9If4MBPYOr/EP/uTPKHcPmZ5+yMmjh8xmC6q6xYmo5OOFRBK4eHTC3X/3Mx6U\n7zMaTdgbl+yNy9hjWILUGdKMqJqK6fSM84szHp2fMZvP6ZoGV9e06yV9U9Mh6YOAviF07SCheCWA\noRXBaKxztPio8NW1COeQlRiIQQ7rHN4HtDFIGUufAAQCbeKPiG3E6a1lva7x3uOcp7Mx3B0IGKMR\nUpIkauttW+cInlgjIQTBQ985gve0bTSOWgukVNu+w62zrNsGL4EgESrQiYCUfWwFKQRSSqRUKKWQ\nSm7HG0ULBH0fQ+bee3xwyKHJBgJkGjchTiqCBOGiRGarE2wmMHiMAKkFmZIQxLY0DECLQC48oVlR\ntxXStmgZZSyXfUdZJOwf7DNKE2YPT3hvvUYKSJVkxxxCuYvAcm0UWDtD7VPGk5Iky8i9xznHfDbj\n72ZLTs8v+Ojex+yUI/I8Yb1e0nSWyWRMKqNsqheagEAFi8DjhMajYm7wcxgX+S31hK8azw1790XY\nsHo3ilIb+cdvqprZF8WWwcxwXxjqhYfLE3y2Eb7qQcOTBhPfjTv0u8EXNsR37tz5T4Gzu3fv/q93\n7tz5F3xSHnYF7Lyc4X23cXT9Nv/Rf3yN/euv8j//D/+aD+89oGst3nlEmiASQzL8zM5OuTg9HQyE\np8xzxqMRCI8PHUJolEqRUiGloO065osVzlmKPMNIQds1tG1LQCAJWBtDy9Z6nH0SJrZaUbv4+AUG\numgTja63PhruAEpJktRgtAH9dKcgYwJaB6yVWAtd19MP8pWE2HKxH6QlTWJIjCFNDRDHLvrIuPZe\nRG9WaUIQ9H3A++c/4o1zLNoOKQWJTFA+wNC5yrp4bq00SsUOR09qX6MX7pyLBlrqbV48zzKKPEca\njdJDbhyBFwKco0fSZjk+zdFYjAjkiUYpGT1p5+NmCTA4cixV3VDXNVliKLIMLzR16NktC269coPd\nLOXig495LBTr/SPk3gFH+0fsTsbIccYrQlP1LY3tkEOXKogP870Hj/j43glJ8msmZcloXJKXBft7\n+1zbP2QyKslVwISWnrjR06EbuotFrXAlP10Na4tv6WIby27ihjKE8EK1+Fh+I2Le28fGFGqIAnwT\nOiu9DGyabWwIWNuNxpVjPus6N5KXm+d/U7L0Hdmr/E7w23jE/xkQ7ty580+BPwT+O+DoyutjYPYS\nxvadg0fgNp3RESyrNQ9OHnL/wUcslwuCD9FjExKhJB7o+uj9Oe9x3sUf52jWaxbzBUJ4EA4pFVol\nW0PsfMwLBwLBRYNXV200ckOJi7MWax1CCIwx+OAHQY+A29QWABC3vMGHWJ4iYj2vUiqOdXjihCBu\nFLzHe4n3Mo77St2HEDFfGkPhYTuWQKDv7bCb9mgtAIXz0YN9UooTS5m00tFTvYph+x4GweJYMqUJ\n3hPa6LErKdFKIWUct/d+GGPsBJSZhKLIqeoa5xybmyDVZtwMefCwPaURAaQkkRol4udZ54auSZI8\nSynLgrrp0E0LweFtj1EqeulGI5VEKEXVtEjnoG5AG4LtUXXF7EGNPZ9yeP0m5d4eq7pnXTfsjCdM\nyglFUtAXLU1jqao6stWDY93W9MIzLktGeUo5KhA6HbxfuVWrkMGh6Id6FYVDIXGoK8WzQSqQT9o0\nftuw8YQHu4oP4bkiHVfzohvvUAxtHATfTiO88XY3A7/a7epqk4fNIYEnXq7k042qeOazP+v47/FJ\nfGFDfPfu3T/d/PvOnTv/O/CfA//yzp07f3r37t1/C/xz4H97eUP87sAHSR80fiAynV1O+dnP/5Jf\n/91fM59dYEyC1sMCLyKjuW46+r5HKoG88rS0XUdTR+9PaYHSAaMFIXSx3jdEEQ0QdH2Hc46+czjr\nUUaipMBah7WeNE1IkyTmegfP8XkrjZBiCNXJgT0tuVqrGkLAeYf3DoQmBI21gd5aNmQspfQn61uJ\nxK2u65AykKQKY6IhFu6TD3UML3/SZZNSoMwTApvWilGRbTcQzjmSJCFNDMbomLfuLX2/qXcWlKOC\nvb0d5ExiexvPM4S0jdF4H+j7sDXEEk9KQIpAohUCRVPVtF1PYjRZmlIUOfv7u6xWNUrp7bkIceOl\nlEJrhRAwnc6pjMFIQZFIJtJjmiXVySnWevZVwJSGejnnbL5inE/YHe/FjVIIgERrwWJdsWpaHAEp\nBMYoxqOM0aiIXbpESjQvfuimE7aesXUpfVCY0KN9++QG6ygs821dZTc57RCg9yHqJr/AEispMEOs\nL17t5sBvQ7fkT2KT692M3AE9T+eIr15VCE/C9lryqapt21D/Fbmsb98d+nrxMmoYAvBfAv/tnTt3\nEuDfA//9S/jc7xwEgejn+thnt12yWkxZzKc0TY1znmTwjiIL2WNM9Op8cPjgn/osFzxCChjymFLK\nweBaQggkSYKUgrDNAQcQYai73ahdDR6ikiihhifo6dVp471CFOZQUkYPjrhZ8MFvvVMpRFyseRL6\nC1fG7b3HCQchRO9Ua9J0qCu2kQCWJprEaESucV5Q1TVd11HkOXmWDeQwF8ufeovafMawmngfEEJi\ntEYrNWhsG7xSgxGO5K0o6+lxXpEmAmM0WqvoCQ/eulJq60FvJUAHA6p1DEFLKSHEDUfbW7yPxu/q\ngi1CDLGnaULXdbRKAfFzAmCto6pq2rZHa4VRirTpWHnQCLrzC5LgKc8eQ5Hg5kuKdQvzgqpI0SaW\ni6UaJpMJaIXUiqau6KqKxelj3pUKgqGcXGN3RxC8Ax/zw9v5GRwSi/Igg+UpOSnfI9yTBGIQCoT6\nnRrmzTP0vC5sHolHDv/9JBFQBZA+vlOF8AljERuTxnm9Da0GD8EjA2gCMgie+mgRn79vmunZGNar\nnu1TbSi5UsvLJ0cvRKwhfkEW6OljP/GP7/FF8aUM8d27d//8yq9/9uWG8t2HFIFEWJzrsa5GuDWE\nSAzqup6+68kSQ2I0zlp8cIxHI0ZFQVXXrOsrTRpUNHJi2H4ao0mThK7rCb7BDQYjGhM9lDoNi8ug\nvKRNZB2LrRGViOcUgvqBmCUEg1GK3lv0gG008lqj5PCalC/0GkLwWBsGYx4NUznKkULQDVKQSWJI\n04Q8yyHAyamlaRvGZcHh/j5108T7UdVY6zBGU4xyMpeSpkkM5dtNvlcQgiAxeticGLTWT/eWFWDS\nqIEdQmC9qui6LubOpMQkGkI0lhtDrI0mzzPSNMFoTd/1nE9nVHWDVrGOW8abhLWOtoth31Rr6sGb\n33jZbddT1Q3ePQnVCwHCpMjpGqU0pqspjUCdPqbFkdmeY+/hzHParRiNRhTliIAmyVJGQ+drWa+x\nyxmnF2d8fO8hy8ryg9ffprh5A9t1eN9vDTFsPOMehUU84y4Kb6Nh2s7BhKBTPt1fermI44t9uq8i\nILBDuF3hMaF/znvjPhRAP8cT9kh6oQnb6wngLXgbjdYmW3P11FLHGq5vkBHahNa1iLnbp7JMm2ME\nmOHg5w095sefr4z1PV4+vhf0+B1CEHfh09kFH99/n/feu8v84jGhrVDWokLMw3lpCLJHYId87RMD\nkOgYVo2eaMD2lt46nPNb1rIcWhVuFnWl4v53Y4Q3HqoUMSzqnKfvHVoLjI6eX8zrxpAscvAghhDt\n1dDyZiOgfEAFj9AKMRjAaJCT6OVKQSoFXiqsULgQ8M6T5xk74xKTpriBnynxpFoyHhWRcSwFeZ5z\neLDP/u4OddNSFAVpusLoNaNRQZ5lMQesJJ3qoySlc7imwztPsA6pJHrw5pumpWs7cNHbScYJ+aig\nWVU0dYPwHqNiNCIxBtdbXG/jCHXMjfsQ4gaFuClJTCRfXY0oBIihcefp+n7LyoawzZdvjbzzQ9g9\n3mdve9qqQipFJiLp62I2p+87Rt6RE+jnC2x2xu7uLnt7u/gkxyUZVdVQrVYUWnPrrbfpg2TWOq4f\nHJIbhfB99HifQ1XahKs/gdgP88qB7ivTWX7i+X5ybC/yeEMQBCFQwT339c3XMkScn3tOH6LHLJFD\nLXyA4J+859n7Eq6W7H1zsDHGingZz16zgM8c8nbP/j2+cnxviL8GPHz0iH/zF3/Bhx/cJdRLWC/I\nvCWo2AyiFgakRkpL07Q0TTsQihxFljIui2g8raWyjq7tcFYOD5fAJHrw5mLJTqJ1DNsy5H683Rpt\niLWyXdtRFAadGvoQzyUGIpYQAqX18GBeMcJD6BYf0NajcajEINMEbTTGKLI0JU8zDhLJYaLodMpa\npSybhuVqRZok7O3uko8nqNEYELj1Eh16dsY5RkuKYsRy1ZAmCcYY8iIarbIYURbLbY7VOvfUOtn3\nlm5Z4bqO4AMmT1FlAULG/sPzJbkQFEZjxiVlUcC6pW96EiMRiYnnTBJk7/GdJUiJTBOCgLZpaZtm\nCIMryiJnXI5YrdfU9dMtJkMINE3LYrmit3Yb6r8KKSVJEpXFtNEgBL2L1cnpEEpfLqMcqO97vLUE\nqQhKce3ogOOjQ0yaotKE1WrNbLbgpz/9I/70z/4Ze/uHrJqWNM042p3g+obwnDrubwokHhOehM03\niAbl+fVGCocIsZHGbwNBQOOI/rXmd+npf1XYsKG/N6jfbHxviD8nohEKA+PyRUvB54NWijzLOdzb\nZ3S0T7fY4X5v8W5KJ9XQJTE+PdZeIVABzrutIpWSEiHFUzncqO/6hDkRNl6bEzjrIlNUalDxGpyP\njQeM1jEcXKQkDpLEo6SObGofjb5znuBDzB8phUSAc8gQyIvY2SkZ55hRHj1lGb3a8ahgX3r2hcfl\nKU2Rs2obFqtIbsqzjGyUk+yMkUJgU4t0knKUYZRGeSiEYt31NE3D7qRgZ1IwXxjyPHrc0YuM3njd\nNKxWK+rFglaDbeOCmuQp4/0ckRhEmFAkhkJJRsawe+2IyeE+mZCkDIIcSlBOxuzsTPBVQ5umeAEh\nT+icp64bgnMkUpAlCcVkjEoSijyjaWK+t7OR8b5crbeM9RAC1npCsFuCmxoIaIl5QiQDYmgUQToY\n6E1P46Zpt3KawDYfnudp/Elyxjdu8eYbb/HGWz/m8PCItqlwNs4l715UtPMlcNVjFjJu5F6Qz/0s\nqGc837CNJ70YgoD6QucSmwdm+5ctBTDEDdALi4yFiEd/A/PDGx/9apMK8c1z2r/HFXxviD8nhAho\nGZeCqDzz28/qV27d5p//k39K16zREh589AH/1v0vzOtfIDU4LD2eT2a5htaBzpEmCVmSxj60Rg6G\n1ERWr+3xPqBk9BKbpnsiPykkalSi0ozQVriuJkkSylHBqMwpyxylNEpE/eYkMbRty2K5pmlbbB9D\nvFmWooWEqkEDu4eH7BzsU04y8iKlanrqxrIzzpmMM5KqQq5XJHmgPLTsSUXfj2jaQF33SFmRhwyt\nBC6vEcGidYrwisx1uG7N6eWCR+uag53bvHHriNNcohKDVpLUKCY7O+zu7TNfrjg5ecRqMaVvF3gX\nDZZJFKNxgklSXrt9jOs1WohowMYT0qJksbfD8uiAqm2ou5a9gwOOjo8Qtqdfr+mspQuwrhrmswXS\n9uwbSZ4m9OkIn2ZcP94HPOcXMy4uFyxWay6ncybjkt2dCdP5gtW6InQBISVSRCKX0ZokMU/KqlxM\nRxgdIwtZlmH6Hm26uNG5ylIV0FmL8YYQAm++9UP+wR/+I26//jbpaIfWha++PWHwCNdFMqBOQYgY\nJXle/8DPgBhM7/ajhxxwQKCD/USO+LeCECDNYEyvYthQuEisfP57VcwPf0NZ5M8KlWz0ob95I/0e\n8DUa4qapcLaLrNZv4K7yeXgSFnt6rFJsvM/Pt/ff3dnhaG+MGt43Ge9w8vgxXkZVo972PD475/zy\nkq6pEV0MI25ykr214ANSSAKBxGiKPGdnMgEga9KoEe3iYi4ROBmZ2EFK0jQlGY1QKqCUJxuNyIqC\n0TihLBOUTFAk6ME76/ueIs+om5amiW0J8yIhAWSiMCgmxwdMjg+Z5Jo8kSxrxzJzpKkGY2hlR+0V\nqutRqxaTKRKj0Ra863G2waoVKEHvakKw9J1Gegddh3c9bduwrtbUfU8XAt4YVC5JEkOeGXYPjzi+\ndp10saS1gWSUEdgjhKgBrZUgLxSpMUifIX2UxhRSkmYlJhuxs7dHc7NnOpsynU453N/h5rU9JB7X\nl3RdT9s75osKoxW+qii9JTMaMckxkzFlkaCNZFyOGI8nnDw6xXvHzk7J4f4uWkuEgLbtIkFNRHGU\nDTsbwlOLaGCTiozfudGaoshJE0OapWRpxu7ePnv7+xR5Rp6lvP32j/n7P/0jyp0DeqFjvfinSUh9\nHojBAwzhadLW8LvwdmBaB4IfWOEiEquerRv/bbDx9F4enpM83Z5oMMZbVnR4jnf8Ba9je8/EV268\nQ3g6+78hqn1f4/sEG3VAOWgLvGheeh/5Hc77GLHSL99sfm2GeDo943B/TFKUeAxBfLOd8xBip5WB\nyrL9uwCUCCgRsEFiPw/f/xnsHRzxJ//hn3PnJ/+Q3EjqasX/9dd/xd/+4uc080vaxTQKewyNFZyz\ndNbiqwqtNXmWsb+3x/XjY9I0xTrHarXi4vKStu0o8gwpJatVRdv3FOOcokiZFJJxGOGLAj/KGU8s\n44ml7yRNZYgEL8G4LDg63MVaz2rV4nyPSR1psCRligkKOclRRiKamrDuUTolSRLmrWW57PCdhV7T\nPFxSv3vBKE/Y291BSk3XeZSEpl4BgapZYa3FKIuRCRofqTtpSpZ7TpeOv35/gVcJQSWUJASRkfoU\n02rWLqVPSqRM0IkiBEfftnEBKlJCPBl07fAdRkGTUV6we7CDKXa59/AenbnHaBQoU4eRHp9IfG5w\nXpNHG87Mey4enZFpeP3GPteuF2gtUVqzt7fHa28YTk5OePz4cfRq04Sjw11ea68znS65uFxQN82w\ncXKDiAhDWVSs9XbOsV5XtG0by8yUohzljEY5169d5/q1a7zy2lvcfvUtpIqkvIODI7RJcLaHDQM6\nfLmccExpJLHkyXVXXnAI1yGDQw/6hs73BN/HFIhgSyZUSqE+rXXPCxDZ0jFM/1wi1m91QR6cfY5l\n2twrAUJHERNvIdin3+u74fXPYVhDAO/i+6SOHvXvEI546u894ydou47VuiJJDOVohFbP/046a7mY\nz2i7loOdPXbG45c+lq/N+rXtGme7ODu+BW3EYs7lOdNXDOxEGYamB5saxBdf07PZrrKc8NYPdxBS\nMkoV69WCuYOlE1QXJ1QXJ5ydX3Bxfo5QCqVivXDTduRCREJUljCZFIyKHB8CWaJwrqdpO8rxZKvc\npKuKUWYoc82hStjXir5I6YuMYtQwKmtWa0Xba/pe4F1AhZjXVlLRJQFrAwaLFoE01eig6b2jqyp8\nU9G2DV1a0KYZ81XP2bobZDED68s1y7MZZZ5SH0jyNIbXpeqodIt1PpYlOU+WWdI0hp4lkX2cKcVy\n0TBrLkjyDFPktHlGX1icVbSNwPYt9boeKrY1BI1to+dpVRLX1doi2xqILHMrE5xMyNIJmUlRQuMd\naCEpUoVwjq5tI8saSLwjJeB7x3SxRuE4qlf0fYn3ikTkTA73yMdHFEXC3tg8+f6HNoQXlwtOT6cs\nlitWVUXdNLRNCwKSJMFax3y+pGliLhpj2NnbYXdvl6OjI46Ojrh18xa3b97klTfu8OrrdwiBQdUr\nzj9/hV/wpSEEQUrEVh0uIIIbQtKxDEoMcp7eR2WxIDVeKBxheH4G/fHgn/Iwn3AbXnDqL5z//TwY\nvN4Xfuwmh/yciF3wbAWaw1CN+9T4r3jQG85GcEMOfVPF+ztEiOxpTyxJelHZ0ncRm2iMHTxgoxVa\naZqmZnp5RpbnKCFIs3Qo54x3pu87qmrFYrngbDqld5ZUa8qi+ET1yJfF12aIR6McneR4mfzOd4df\nNZQMaPHiXXtcdK4uQgEto6/tbEDphDs/+kPK/dtU0wfMzz7iL/+f/5vHjx6R5xlFnrFaVyzaNV3n\n0Kqn6Sra7hIhTdQ4toHxOKUoS6zO6KzHiacVZG2S0GYJqpDkucd7zXJRsGwN895Qt0P963SFsif4\nvqfvHdI7MuFIpcAkKVobCHPi0x0lMm0/xfWebnj6vXVY69B9y0QIUudxixXWNKQqljOt+iiI0VuH\n1IpkX+KVolmu8U2LAooQaOuOJixYe0/vPaskYZ4kXOQFeV6gZUB6iwuBftgYGQKp1rgiozcKaRtw\n/XD/BbU5Z5akmPR9dFrw8Oyck9Mzdn78Our2D6kvL3j0/jltVQFQ1z2zZcvicsFyOqdxPfXP+TGD\n9wAAIABJREFU4TcPLyjLEXv7h7whrnNrPMIkKXvjJ4+aScfobIfd/UNu3mpZr2uqqmG9XrFeLfAh\nYNKc6XzJ3bvvslqsyJRif5zxo7ff5O2f/Ihbt9/k+s3XSZKEJEkYj3djThmey8h+GRDeQh8QsRsH\nwjuCbYaynkEa1TkQg3ykEFg0Qhi88gQJTsSIkvAdwj1hQUgVNbNf5uL25THUEQ+iHs8/xIPvr+SM\nh/GH4b0Q//41YyNjGYi1xTI80YT+rsP72KZ1vloxX63Ym0zY39mlWs04O/mANBvh+p7xZIeiyLeh\n58vLM37z65/z6PEDAoKiHLOT5+yMJ6RJijHmM878+fG1zZAiz9EmjWSJ7boRCRphm7h59veXj209\nXfjkxvjzaMo+RSoRMV+sBmLXFxlDzBcHvAepNK++8jo3XnmbavGQ2fltzs8vePed37AzHrM7GXMx\nnYO8xDuLB6xt6fo1CEHbdIRgSJIdlEzpnKR3fqu9LKTAh0AH1EKQBo/ylqYRVLVgZQNL21F1PVXT\n0q3m2OWM0LcIBKmUjIUiSwxyLJEGVNtB72iVoBUQlhVhWQ/iHCYqEw3iAFJKhPO4dY1TCpHogYHt\nET5gAkhEbNrQ93TLNf2qojSazGiCdXjntsbdaU2jNM4oaq3IjaFMNC4Iahv1oguj0YnCVQqrB9Uv\n2JJtOlmjhKAdvNLLZcXFsmZ5OKFrAut5z8WDS5p1hTSatrOsVjXVfElT1czbjnnXYy6W7O5OOF5D\nvrdgtFeTWkeWCLyLOtRKSbRJ2BmN2T8yOBvoO8t6OWc5P8M6h05HnDy+4P79ExZ6xjgvuHFwwI9+\n+Db/8I//mFuv/ojrN96kbmqaJpZKPa+t5EuFd4inMo8B4fyV3wZqU9hsBjYaWENuefDItqT+K8xt\nLdg2r/hG4dOMMDxhV28v6oohDgPresOw/vwnfbGX/jk3Ks/WCceoXSRxuSHqrn4PmNQhhIH4aJkv\nZjx4fILtDlEiMJ+eMT1/SFpMUEmOD56+qyNvKQROH93n/fd+xaOT++zs7aHlTdqmomuf6PW/SG73\ni+JrM8RZOiY1JorkI3ABZOgRweFFzBnLYBGhJwiDFy9v93EVcjCaLgicf0K2kiKgRfjMeS8IWzk5\nJQJCsiVh/bYQwSNdi6YnVYZyfMxP//BPyIucNIm60GfTGSfnF5zev8fpvY9QUuJsSo+kt4q2tVxO\np9j+EuElWmrGowRT7tN2HV3bsm473BSUBq0Ci86x6Dy2D7g+YIXHyYAOnjTTqNyglKbMMw4mY8qi\nQCTRC/Ctpa1bLhZzVosF0j0txrBzuMf4cJ96sWRxfonrnw6Z7uzv8drtW5hyRNf3NHXF+nLKejZH\nXDlWAGWWMDGK0fEx5fG1mHeUEjfUPydGM0pSvDRUGLxQaClRvkO0c0Jf0VmH9YJgMmSSsZMZRlry\nwd13uf/xY7pBQGX++JQP/vbn2Lqma1pMWTI6PqJxju78Ei0Epo5e/s7OiPG4IE1T8q5h9e6veO/8\nMbsHCTt7huW6ZrWu8SzxPGR8eMzk2g3GozFlOaZUoPwcay3olMmo5Gh/D4Pg9Vs3ePONH/D62z/h\n4Ph1tCmo6mqbU/4mIKYYYmjaDV3CcB3Cb2pzxVYS1ONeBu/564eQMYf8QqnPsC1B+9w5eu+fGPHn\nnuuzF/5nGzls1ihJrCuOn/f5hvNtxkbrIATDenbGw/d+zuyk5GSyQ1uv6bqWtIjHzueXPLh3Sdus\n8LajrtbI4Lh58zbXb77G8fVX2N07xAdPVTdUTcsozyny/EuP82szxEqnaCmQ0uOdHFh9DhEsAkUQ\ncUcpfY+TMpIivoKZE71XD17ixJOSECmIIc7PYVQ3bM4NaevLIyB9Gx11pWG0x4/+4Ke8/sYr2yNO\nLi64f37GOz/PaZcz6DucNYSgcE7SNJbLywW2bhlLRVrkjHaOyMqC2cxSty20Ft9ZhJQgJXPbM7U9\nsrOY3iJSic4VJs/Js5IkSdFaMxmXXDs6YDwpEULiA3RNx2pZMW+bWKvqfcyCCQhCMNqdcP3121w+\nfMxqOsd2/VNhyHIy5o07bzK5fsy6rpk9PuXhuqKpGsRQ+7pRCSvyhFGRcf2NV7nx4x+jTIKQMjbC\naOvIKs4yvMqpRIYdprlvV/Tzh3SrS1Tb03qBzybIfEw5Stk1gnc/fMjj6XLQ+DYszi+5bzvM0Ls4\nOzhgdP0aygcWIaDqBnO5wPjA9fGIg50ybkyCY3XvAy7ff5f+Rz9A5q9xPus4u1jSNS1d07H/iuVY\njxAqj5skY7Bq8DKVpMhSDvZ2KUcFd37yB9y58wfcfu2H7OzdBKBtrzRk+CZACNRAXPLBgw9D+PlJ\nCkAJhZaaHh9bSW7e+m21CrEZ+DPGcVgRrrKvt8dv1pgXurxAZKBDePpQuVGHfvro532EEjy3leXn\n6TP97UcYhIuGkk3vsX3HfHrKo3vvIHWCSXNG+YiyGCEQONuzXM54cO8dFrMz+rZCS0k53uXg4Jgb\nN17h+PoreO+pqzVNb+mdh4ODb7chXqzmNM2YLEkIGAIKL8xghGOrtSA0Tort799ERFEMgQ8CJV+W\nIY4QxHxzAsg0I1F729emqwopBHmecXS4T71c0Nue0PdxQUSQBYHOMq5dP6IsR9Trium9x/S2x1hH\nDmSJQU8mmMmYsQ8ceofwHun8pvkqpihIyh2UkISuRQuPtZaqaUlGOwil6ZsOa1u0sxR+aDMHeK2w\nqaETgrazUeSi62O+WD/JWTvvaLoOuV4zmy+ZTxe0VwQrhBAkiWZUpBRFxmiU0vctp+enZJNDsvE+\n0igyIE0URZ7R+UBdLfA2ficyWIosJVf7mLYlcUC+C+mY1rc8WlUsu2j0Yw1vHOendo5/9jtTClmW\noDV9d0pVr1BJxs7kgLaDuu1Bxq5HebNAP/wAt7qkOR+zWEy5d/8jvJIc3LiFV4a8SNjd3+cHb/6Y\nN3/498mKl8/YfFmIhJjo9fnPKFpW8mldcyF/+7KmbxSCH9jRjufWIAci+9o957UhzyyHMsarHZDi\n60+HuOP68Pyg9++Hwf0kwtBlre87Zqs5i+WC9WLKenHJxycPWYmMTCgMkBVj9o9v4gM8fvwxbb1G\nEsiyPOpF2J75YokLD8lHBc6uWSwWrFZrqqBwMuPv3fkxR/v7X3rcX5shXi1nNM0eRjL0OdUEoaMn\nDEAgiI1Rjr9/1cb4ST76i8EFgQ0SEfxLNcQweNkKEpVCmm7/nmdTtDKM8pyD/V0uXcf0ch5ZgUkS\n1a6AIsu4fvM6+WTEh798h+nDM9JExxpUoykSTbY7Ibt+PXrGw2IortSyqlGJ2d0nWEs/u6SvlvS2\no257xNig0xwn5njboZ0n84EuQCfAK4lNND2Crnd0naPrLMHFXOnGaXDe0/YdoapZzJcsFqvYnnBg\n0woRMEaT5ylFnpBnKb3tmM6mlGYM44RMKTIcaaJIM4NvO4RdE5ouhuW0jiztLEcmNcYGRLGDNyWL\nxSWzdUvVR+9lU4PtnpHN3EJE4yGfJRIohRyXhCzDns9orEfolFG5w6jpGNU1iQhkwkFfEx7fw81O\nqYucs7MZd9+9B0WOFZrJ/i5pojk8POTV19/i9R/8mLquadrmeSP62rFZBD/1mOH/Mbf21Y/pq8cz\nsyP4geD1ovswlDE9LzCvgBBrybWUT/K5L4AQ8S3qO3EfXw5iTtjRdg3nF2fcf3Sfy0f3uDy9z6KH\ntTdoERX48tGE3cNbzKdnXD78ANvWpCYhMQk+BHrnWVZLmq6lKBK6+pLTx485v5xSqxEh3+PmtWsv\nZdxfmyEO9SXtssCEMUlxSKJVLHn4FMJJEFGL+WUYZCXC1oPdkqXkNhiEJHxqCdJVaBmQwX+uMPbL\nwv54l7dfeQM3veBhZ3F1S2Eddig+F8FTJoZRmiACdL2nlxKXaryUhBBonSP0AlvX2NWSbGeXfLKL\n9BZh24EMdUWT2tmYl2zaQQkqQcrYACFLMxiNqMz0ySADhLbHUxF2uudG41zw1NbSWIcL0dhOdkqU\ns6zWC1gvab2n286LQNdbQtWwe+0Gu6++gjcZrptTtTWrZkWaaspmhJcGp0t0qVBaY0TkIWBjSNcH\nR1uvo7a0cFwfZ5wnn++RSIxmd1LSTkbMjKEjGscQArZ3OOnQCHItaes1p2enrKs1AOXhIYejV1gv\nV0ynM5rEkIxKfONJsxRnLd3ZJYt1RV33ZL2hX9dffJJ8wxCGRh99sFuW9LceG9b0lqT1KWpcnwXv\ngQ4fBP2muutTlpQAWPF0q0I1dEf7fcWTnDCcnTzknV/+O5bzE1aLRzQOWg/X3/gDXnvjx4wnBzgh\nScsdbr16h/PHDzi5/wHOdozHY8ajklQbnHcsFivW6woC7O8dke7eYLR/k+OD45cy7q/NEPt6Srs0\naNGQpAVGFjjf4/zzhB2H98h0yBV/eSgZSOSTB0aKz5cPfhZXBT1+l9if7LI/2eX8ow/oBkM8sp4u\neNqh1+ooNZRZOhhiR68kLo0SiMFD5zy977F1g12v0Lv76Mku2jbIxtM3AXdlS+6so64rfNNQliVa\nJds+yGmWokYF82co/aHt40/TPTfEa33AekdjHd7H9oKTnTGpCIjpiH6Wsmx7GAhbIUDXWbrecrMo\neO3V28xXay4u5ywXC1aLBUmSULcdyWgPUUww+Zg0zTBYRHWJ2xhi76maFY2X3BhnHJQ5H31eQ5yY\nwRCXnBjNJogeAjjrsWIwxErRVhWPz0637y0PDrj++qs8fnzKuRe0WtOMx7h1R5qm9Msl7fklLYJ1\n1VKInL769htiiJEP5z1G6O+OIf40t/ULfZYD5/i8pnzga2996ydM3t93Q6whBM4enfCbX/yctjuj\n7c63x+Q//Amvvv5jkJqqrclGO+zvX6epO07P/wbbVZSjkvGohFFJXdc8PjulbmquHR1zeHjMtds/\n4NqtN9nb3Xkp4/7aDLHWknVd0wdJWnZ8nnS3CA7l288s69+0l9v02Q2EKBHp45SNdY8BJwNCfjt3\nkF3f0nYN63pF27Y0fQ+DDJsQkfrShoC2FuOjtKDWCpNoZO+G3Tdb8YjRqEQHj13OsX1D6NagDLIc\nI9MCoRQmyxgfXUM6yyRPMNrQuo5uXuPbNf26iuHkK8gTTWYMMnhm8xnrao33TxjVWgqMjEpXlx9+\nTD+bYYzCtx2ryyl13cU87bMIMD15xHt/8zOarqOqGpq2oWtanNa4i0vS/IykmNCnGZ024Cy2WtK3\na3pr6Z0jSE0iFetzQUcgsTU/fO0al/M1F/PV9nRaq0jgChZ3eY6dSdq6pjq7wDYt3vuY/64bsqwm\nFZ7adlTOsWcSxpMJRulIdts7xpRHmLMFSVOD1ohyNHwdAp2l5EcHUQbz0QUheJy1WNtv5/B3Fd7H\ncpNtZOo5rTe/x9PYGF85RLqs7YfQ/7dvXfuy6G3PfDnn5OQBs8UlznYU2YidcYZ1PnIYpGFVLRiN\nJkxGo21UT+soFdxg6Z2lsR6djwkhATVDyA5TjNGjCfPllOq9XzA/PGJxcBwNd1FinaPrbexJbvQ2\nQvFZ8/frY00rSVXXVK1n9/DFXvBViGCjks9nHSclSkQFJQBCwPpuYCIOfwKsi6U78hsq3P5paPuW\nxXrOulrSdQ1t1+O6HnnFyLWATB2F9+ghZGOMRrptxScgSJKUshwjQ8DOZ1jb0vcNyWSPYjRBpRkI\ngckUOs1IZWCSCGTfcXExYz1f0PcNbbWmf6bUKDOGvVFOGxyz+ZymqqLU4XCMEpJca0TdcPn+RywH\nQpYUgvW6oa7bLQHoWVw+PGH66JQNSzKEsK3brIE0TRiNMoyJ09z2jnXV0LVdFEWSgqLISBPNqu5o\nmo4s1dx5/TrvfvyY6aLanktrRZGnKN/jLs7oOsu6aqimS1zT4n2gbXvaumU8qsmUx/cx5ywSw3gy\noUgz8ixjsnuMGR1j5H2SusInCeJKSkZlKcXxAUIIlvP1kHsdDPGXlKn8psMHjx0alEAMtZovoU/9\n+wExSIcq+r7H2h5jkt9bQ3w+Pefeo3vM5lOs69nJxuzvjWlaS9M5hEhYVgvy4v9n781+JLmyNL/f\nXWz1fYklV5LJIpOs6qpWdbdaC/QwEIQBBpAgQP+CHvUsAdLfIUCvep+XAQRBQg/Q09NaRppRd1V3\nsUgmyWRukRmr7+623kUP5h4ZyWSyWCx2J0nwAzKREe7pYWZhds8953zn+1K6rQF4QVnXaK1I0gRn\nC4w1FNYS6xQvwesQIRVBq0PQ7jE7e8pqdsFifYtlkXF9/xpxEJIXFessJ46ayY4ojC7tZL8Kry0Q\nf/rZAw4O9hmO2ogtycN6iZPhdozpK8gOX4AQsiEaAf4y632RdqWkeqGqbX3DdAaF942EohTfhKr1\nehDogFbSJhQBbCrqosT4hryht+Lunqb8aqxpjOCVQAcBsnYIDIGSBEphsw3z45PLz3bOYK1Bzzds\npiuQCrd1AoJmLCJWIKxhvcooiwKPw9maKs8vx4wIA7wQFNZSbnKKvKTOtz6429+X3faqzXbhDYzB\nO4dWkro2jdGFsdRXFue6tl+aJSvd+AI3DlSWqigp86I5FnZEjueWkUhBVRQ4o6grg60NRkBFwyY/\nHHaIA01V1uSqcUlS25kQYyy2NuhA0xn3iYyjpQRJHNKOI5I4IlQKvCMoCpLVAuEclVLk2RI1O6Xc\nLMAatIyJw4goCBBSoLWm1e5u/92U+ncZ4reu8via4Jx74XcopGisILf3jhA75vUP5IS/BewqfbCT\nEH1ObL2s9onmnhFfmDV224rg82rh92Wl+3rYkbSsMc26vp3rdtYynS1ZrtYoFaC0xjuIdUwaJaRJ\nyma1YH7xjLpYsjfqk0aikRBeLyhrj/GCwliCVo/h6JA3br7JuNtjtZjy9PiEf/t//x/89P0/RqmQ\nujbkZU5qEjyeciv+EYYh9ivkZl9bIP7wo09opSnXr91C4LHGYGXYCHlQfq3Md4fLvgDNwu6/+PDu\nhAau7BCdkzi3NXCwgkA6pPr+PPRREBPokESGkJXUeYWNNIGUSOfZCXs1IyUVwgRI2ZgbeNnM8IZK\nkWhFsVqzWiwvP9vvhhe3GxxrHVVVvzCSIkXzxl2ZOQibMoy/kskoJbECNnXT0y3rhoz3QiB2jvxK\n7zh0jYZvpOVWI7YJenVtLm0Bq9qQ5y/P0MZRiFISYyx5XuGsQ4j8stqhtSSOQ8JthtxksaZhcW8P\nYWeuEWvF9XGPsqopi+cVm+dBvbm2QRw1fsVCEBcFLQHdNCGOQkKtEN6ji4x4MaUEMq1BzPB1SbGa\n4awlVIo4jAiDcFsiC2i1ugjZKHD9ENGYQDz/vWulXihDWyHw/lvUyf4BQG43aQDGPGeo79jqzjm0\nbkR3vhhoG5nHGqX0t6IE9V3D7hoY22w2tIqQQmGdYzpfsFxt6Pc69HtdvHWkUUIrbpEmCcvpKdPT\nx1T5gr1xn1aiOT8/ZbmcUs4m1F5hgoS4N2I0vsadW2/jnGWzWfP55/+cf/PX/wohNIP9a4CjrguM\nafQwBI3eeytNv7zFtsVrC8SbfMJ8ccx8MaK/d73pb+Bx3my1bL8+PP4yW/LbQXrn7MsB+fl/AC8R\nXlxm0/+YjOdvBd5fVhLqusZYg/OqmYC48jZT16ynC+Q6Iy8rTFkhqhrhPWVtsMZQGkd5ZexkJ9u2\nk4fbOQB5/zwQ1VcyZLHdeaqvmKPIvSBXmrib0mp3UEog3HNbx8sedqBRoSbYzhhLZ2m3C4K6RnVS\nqjim9pL6yww4Qo1XGouk8o2k5FXUUlAJifbNHKsERG0uBUN2uCpW6EwTMIqyprKOMNQkoUYAtWn6\nwuusQkYBnU5KmMYshGSal6yFxCURk7Lm/vmMjhW0AZFvsDpEZSvSQBM6i1rOEeslwhqkCFCiagLT\nD0N/6hJym/W67b0lpUAKibgy+LrjOHxXtQNeF3bP4+7fX3wNeIlDsOsd796ze5/3z5tTO9Wt7zsa\nEqrB1xm+WiKwaBUCEuc8veEeb739NkjF55/d4+z4iDRNuTh7xuNHn9Htdnnn3XcZjm/QGxwyn82Y\nTC5YFyUu6dMf7tNqdQjD7ebYQ7/XZTwa0O90aMUJ8/WCs/mcgfFEQUwrToiThCRJqOvqlcf+2gKx\ndQum8yPOJz2u3b6L0hqM2erZ/n5BsfHqbbKW564zHuyrb69GCZemXCGDr6Ur/V2C8w5nakxdUdU1\ntbXIL7ludVlR5CXW+aa/6GkyNSnIa4OpDc7zwqZFa00YNub0VWUa8oz3KCUv+63e11i7e6j9ZbB+\nFfIwZhXGhHsHtG/dbDYCWUaZFeR5gZCCNI4RSUgQaeJgV4JzqLqgNhVaSQohqZTG6JclT60UVELg\nlccH4Usk7V3/0XsIt0P9qi5RX5Jd77BbvIrKUuQlrSQkUCkCKIqKdV4xK0rCdouDgxHB/pCLizmT\nZd4E4lbCcV0zO5tx18NYepSUeCEIrUEFQTMuNj3Hz2f4ugIfIP0a6QX8gLJCsdWTVlphjGl01aVE\nK/073Zd+BNvn8MV17ip2WeFu0kEI0JovzYAdYNxzPf0fzKV3FlcusfkU6QxBEBGEEWEUce3mG/z0\nl3/O2dMjPvi7v6GuCpw3rFYrZvM57//0F/z8l2Nu33oTIWAxu+DB/Y+4mE3xyZD28JAkTi9/lFSC\n8XjEu++8zc3r1xj1ekxXC85mM7yDQbtLv92m3+8TRzHZJnvlYb+2QByFAB5jwDiJ8wqPQXzDGbwv\n3yF+dUBvrCT8NoB98zvRO4f3DnGFqf1twTuHdZbFasl8tWTQ7TPo9REIhJR4paiVpJISgcZ5gbeW\nwDk0NFmnef5wSinwUoDU1EJQbrV/pRQ4obFSYbXGaYW1DhNcsdSTEh80maoJn/dsvw5qqTBSEbY7\nDA8PMFWN8SBcYzUYhAHdbodeKyEJJEpCbSy1NXgbI6zBAgawoYX45QCllCLUCut88/+2pU8lm96x\n956srKitbcwmAB+muPR3S0V66/DGIlsJwbBHHIS0rEAt18yePmMjPEsZIUXEzAfMnaIQAZUCpEBL\nwclihdlseGPc5429AVrFL/wMOWwh3SFBK+IgDlFaId6+iU5H9Lrtpvz4CpUv69w2w/wuz+eKxvRD\nCJ7nvGI7dtO8Y9fHt9te/o/B+UX8Lmetq+ue92w3x+K5LaVvDBC8kAgk8vsrLvql8GyVGKVGBZo4\nCTnUXfaHMd1Uka8XXJyd8OTxQ5TypElIGCgO9kckccD52TECTxRFgGMw2qfTHyPiLkHaBRynF6dA\nc21bnS7vvf/HXL9+i06rTTtNaSUJ0XaMUwhBoAM8nrz4DgbiJNWEYYqQbawPqZ1oSsWv64C+IZqF\nw+CsRWr9leXZb/DhOGeoq5KnJ0/59PED3rvzDt1Ot8ksZABBgAkDKhXghKZ0nsJaImNIvCDw/qXM\nEGiccAKJDSQi0MhAY1RCrWNqISm3bjKXbGSam6raLoxXy1xfB7aq8GVJkkSMhwOyTcZyNm96g3FE\nu9Vif29Ep52ihcA6S5WX5FWF9+6Fn+W3ZfkvIooiOnFEZSyrnYcvEGhNJ4mbk85ziqreZgIC7yz2\nd8gxAgjvibwn6XRIxkP6nR7tuEN8PuGp+hWL+ZQJEWUpWBNSqIQNUHlIQ00rUTy7mPLB+YR/Gr/L\nL9+5RSt6MasfD9rcPhwhlCROQ3QUcWfvkKB/QLrXx5hXqHzR9FzLuibUGhl8f1nGzvmmzXJJqvt+\nnsd3BU0AdpcBepdVS6VRSiDl92/N/UoIidcJRB10GJMmIcP9hH5bsTEFjz/7kKNHTzg+PeZgPKB/\nMGC8N2Y4GmGd4OHnH/L44Se02m329g958413GO9dR4cx1nsm8wkPnzaaAEIIkqTD+z/9U3q9AWmr\nxaDb5dpoSKwj9JUNcVVVLJfLVx316wvEo8E1Dg7vMN6/TZykeGd/797wt4kmsLhtptnkyl8Hl72s\nK7v8r/UzmlrcKz/VS01ZW548ecSTJ5/z5PSYJ6fHHIwOSOKI9WbDxWzCosjRnS66qCi92M4RJ5jA\nUXvxJQYuArTCaEUtmnKu0AqhNTWaclfgvvofrx6n9wghm1bCtjfsvUNuCSJuSxpRqlGz2hsN2RsN\nWc2nzCfndKKQMs+p6xoVBERbwfQojZGBxglJBRgEtZAYqWiY7R63tT+UWqGCl29dKxWFhcp6KgsO\nhdIKH4ZYHTaZl/NoFaCVQklBbe2XjkdZY3DGIpVqvJG3rletNEG1UnyS4pOEoNehd7CPjTRhu4OT\nmtIJNrUlqyxVWZOFknWgmGYVJ4s1TzcVjyvoBhqtFGmS0E7bREoRsZ2d3TK0gyRAtnsYBMtsg/eN\n5JLWAYEKULpxllqslpxcnNPvdBn1e2gVbCU4m2rHdyIw77LdK5m98zvGb3N8TWa/nSHeErear92l\nYMWP+Pr44oZ597WUjq9a5Xbv8/75mGNzH303qi27Y7O2aTdVZcFmvWC1mrNezrG1odXpsnf9Bm1d\nEauC1TxjNZ9iTUYSh0RRU3WK0jad4QHGeIybUZYFm82SaBlTmLoxJ2lYV1T5ivXivKkwepD9Ae1o\nSFnlzJfN+tdN2whnMdWaycWGxeyIujY8e3r8yvN5bYF4f+8d3vzJv8fe4R26nQ7Sl683EDuLtWZL\nJgm+fs9ky8iWUv5Oe7JGmKG+DGSvCtxeSKyM2diS/++Dj/irv/rfsd5j8Pz5z/+UXqfD6cUpH372\nMWeLGclgTNuAWa5w3qPDNkopGvO5lw6YerugOdH0imrZsFSLsqKo8t+Z6SqtCaMYISVVWeCsI4xj\ntNbUVYWpK8IoRgcBd964zZ//yS84P3rE04efsTae02fHOKlQYUCyzQqlUmS1oXTZ9lpxOdK0+0Zd\nllR5SdRKmo3AF5BlOauixBjT+P6GAVGaYqxlXTZuVmZbvm1FIYHWrIsCY18mUZiqptw4+tUyAAAg\nAElEQVTkhElEpBKSOGLY7xFIiTeGzXJBsdlQ1zXjYZduJyEINWVVM7WOTZaTZxlVWTAVUFpYV02G\n/iS3/J+Tin4d0okDrrUG3BreunRxUUISKkntKpblAlt6ZJaDXWBtBd7RSju0kzaJaoQIzqfn/P3H\nH3D72g0C9SZxnKKUJtCaMPg97ud/QHh29ojPg4NzjvpLAsWulwzgrMP5hln9YyD+x0Izu77jfTRk\nym+54vcHwPvGeKasKvKiZLmYMTl9xGJ2RlVXGGvp9QZ0+iPWF0+YXTxhUxQYu6LTDojja0RhiLGQ\n15KNS+h0e7w5ukWxWXBxdkRVV0zmU9ARaZQi8ZSbGZQLTFFTVQZVr7H5FBF1kFGnkfvVMaZcUmQz\nppNnnJw+wVpBWb16rvu1CnporZo/SqC27mC/R7XzW4H3zXxdo3O9Lf39no7ZYmt6/vJnbzNg8Xwn\neTX4Noo4zYnvqPe1MRgvEFFj67dez5lPTjFCY4Ti4dERf//Rh3z68D4ffnKPs8kUEUYESYLYbMA6\nvNQ4HYCS+K+xg93Jezi568Juv7+dPbwMzN41whNKYr1txkyKspndFh7hA0SdQVUipEfUEi09YRSx\nNx6QcoNn0zVPZhmmrvC1JxAQSkmgBMrIRsJyazHW6Ohu50oR2E2GLQoC5egEntIaSmdwxuONp8hL\nsjwHIZFBRIxHBBLpqua4rUPY5vdhohAvJUVZklX15bhVKGicWYRHtAWB9oTC0LYlnSqjqmqWyzVl\nWWFtcw1CrWgHAYkKqbzhwtcE3mB8jXM1ZVlSOY+tDB6YbTI+P51w4AQHo4iejrGtASsk0/mcItvg\nyhLpa4LAoAKNW51AsETJxv8ae45AMRr0GPQ6PDp+yqPjp+RFyWaTcePwOtcPrxF8UXLU+yYb9byW\nTPlVGdpL2FYFvGd7vL6xKYUfM+NvATsG9qs23VfXRWiuubUv5tCvM0P2fjeLbiiKgtV6ycX5MbOL\nZ80kjAogNKBDwqTL6OAtimefU08nKC9oCYHwFmMKjDN4GRClHfqdDmshOD1+QpmvWa9mBIGmUCFY\ny3J+QraeImj4QJt1RZ4vce4M5xSdwR690QF5tmZ+ccLFxTHTizOsl5Q2fuX5vLZAvFg94fxkhBQB\ncRDQbvdwtr7s6/1jwbvGbOD37Xl+7c+2phkhUM1NK7eZsNiWekKtt5lyRVnmzDc5eW1I0xxnLYfd\nkD+6c51n84xn85xf//YDzicTVpsV08Ucv5W03MFa24hUWEsYx5cCFF8HWgfIVF5uhkxdURXF8x6x\ns8i6RFQWW2U0jWa7FUMxSKsJTIF0FboyCF9zcvyUv7t3j5v9hFs3DlGtDBsvOTs5ZXLyFOqKbqjp\nRAFxFGKtY77YUOclhRTUWpFEjTqWKCtUXdPVNYeq5KJckZUr6o3DrD2FseTOItMOUW+AsJKgMMTe\nEBQllI16VlVblt5Tec/aOwogjiPiOCKRgo6A8Y0B4xtDRGHx6wqzKTCrc1aLNZOzGfNVRlYUBFIy\nbKfs9bvs7Q8I4pA5JZsQNgY21pPbirw2UNfgoVotWR8/YS+StPa6tLUk0YqTixm/+s3f8+jBfWbH\nz4hDzdvvvUN/f49NfYoVin63TRQEHD15xtnphNs3D7l145Cjs3Nm6w1nFzP+7oMP+Q//5E852Nsj\n0C9mkW47hw1N71yr70dAa4hHTeD4MTP+w7HrFb/qMu6IXc+/9pf95h2U0ujfY335h8COfFaXOZvN\nkuVyhgoivFDMF08pq5qf//yXvP+Lf5/y/4X7Dx6j8wJfrpGtANENkKIkDjyRFkgBVVWzmC8pyzWj\nYR8ba1a1Jc8KJhenrDdL9vdGDAYDNpuM9SKjns2pZ3OqO++h4pjpbMqzJ09xtmTQO6T0ivX0O0jW\nwm8wxYR6c4Grb7y2ucEmAD8P/jtdaiRf2O29GKzFri/8JXfyTmpxt6Ncr5asN2tq47AIgjAkSROS\nKCIOw61biMAJRV7XzJcL5tNT6mxNtp4TxxFSFFhT8+jJEx49eYKSoEWzmEZhgClylDVoZxobNiwo\nmizVNeSmL3q+CqUaYQ1nG1tC8SJ5o7ZQyitimA6kcI3YytW5YyEJbY0WDucNDoe1ZXPuswuOnx3R\nD67DuEukK9o4llWOXM4ReYbSEh1qdBIirEetckLjGXUSVJiQRhAGgtxa6rqkl1UE5RKbr8iKJaKQ\n6FIxTEIOOyFRLyDuR035Pc9xmw1mtcZlBd44tPNEgSSRotHc9hD5itA2fsraGqK2pzXQiNLh8xrv\nPF6A8DlOFQRuzXyzxhqHy2OqMsO4giCNiFc5PVPQCSU2arEmZI0mnxrycoPNM5bnhmUrZtlrMUk6\nhDLk6HzC5w8fcP/+fc4eP6KdxrSGPUQUsi4KLBD6Pi4KOHn6kM/uPyYvlmzKjFVRkFUV3liE92Sb\nNeenx5hi3Qje6GC7QElq08zvJlFEFOhtO+aKz+3O3vF14krm3ny5e/YkXvovvPXLN9E/Zs6vxhfX\nva+D3ZTE1Qrfy5/pt6No3/L0yCs+23vfEDuNoapryqpEWEdtYb6YU5QGFSQcXH+Lw2tPuHbtiOzk\nGcX6BGdA+0Z5QQioqpJFVTKbnrNYzPGuBudxpubs5JSzszNmsxlFVRIlKd3hHnlWsDw7p5w2f2i1\nEIMhdVUSxi3iYEC322O+yXh0+vkrz++1BeJhr0M/laS6QvoSa+oXdluvC945rK+bvq/Sz40jvMdZ\n88LN2Lz+ct1/lwnviDVPnjzg7//ub5muNuRe0x+PuH37JsP+gCSM6bb7jPauodMEudqQZxkPP/kN\nRw8+ZZ4VzDY5s8WKPMsuF6ZUQ6jB5oZl3bC2A+8IuJK9lgZVgKosyjl0cKXHIwQiiRFxhK8KfF40\nfr5aXQZi5xxWOtiJnUiJ0BH4F9WeBFyOQHkvsd4xtxVLVyGqDWE2ZzVPeZQklOcXVEdP0BfndMoK\nUZSYumSNI1cKpxQVmm6vy7tvXOPGjXEzZ+oc67NzVmcV57MlZ9Mlk7JiVlUMW21GnTZ33xzx07fH\ndLotVBhxPMn4+PMVj5Zrzs6n1EVFJ47Y67a4c63PsJdwvKk421TUphEuEVlGvlxyWqxZPj0mjFOC\nqMW1/QG3D0fcvT1E+D0WkwUnDy84mWw4zgxZUXDy9BjtHVltSKVk79o+g4N9THdI3e7z+Ycf8WC9\nYl1XLMqCR4+PyPOCx4+P6XR/S+EFy7xCRzHpaI9OGtIKBR1y4sCipGCkN4RCMNYl0xCErZlnGbVp\nWgg/e/ddfvGTd6nWCz7+4G/xzqADSdzukw4OCJM2SmmiMKSdJqRxTBw0/fLdfR1ojdSvV6fYeQ9b\nlvhXVaqa2dlmxO+L2Okv/xiKv10011W/FGyda7JTISRaf7uboBc/+8r3vW8Il94jdIDUYcN1KWsI\nE+J2itMhm7zkxq07/JNWmw9/9W/5bZEhAkGoU7yPKSpBOZmwnhwzPX3GcjGh3e4SJj2caPHwyTEf\nf/RbyrJEBQHt0Q1ae5LNbEV1/JTCFeSxx68n5J9/zO033uHP/uw/IQjjRhnw/qeU30XWdDtNCbVF\n+Ay8aXY8r+tgruDqTvFq79d5t2UEP++ZCHFF0Vo0fwkhmv6KNZdzsMenJ3z40W85mS3YeM344ICs\nzhkNhgQqZNAbc9sIkqTFydkZT58ecf+Tj/n83gfUOqHSMUWWI+rn864BkAJFWZJnjb5zpBVq93BY\nC7ZGWIeqDNo6dK22Or4CoSRCgwhA1AWiKoiUJHaqyYzFlfO6fJ4EqOCyt+29pzYO5x2hFGgl8Dqi\nloosX1HnG8pszebinAsVUooIObnAX5yjyoJ+EqOVICwEym5lJLWmlbToDTrc6qfcasdU1mNqTy+Q\nmFihQ0ERQiECnNYMWgnjVsT1dsSdXkynrUF6ZOiYas86FFSJopSaXqgZxpq9VDNOA0xt8ZWEQOKd\nwroQ4xsPUjfbUCaOuuWpuwnSGDqtxlpyKNr0S0c3jAk3BZN1gcsyXF4RVxWJlAy8ZV9LRCvGD7vY\ncR97MOBstcKv1lRZxsnJKbNZU/UgamGiNs4LoiSh1Y5JA0lHOUItiDV0dY2Wjpuxp2prrLS4MkcD\nCbCfhLwxGvDZ9IRP731IXmZEaUzaH9Meb0g7A5K4CcDtNCaNYsIgJAojOmlKK0m/9RbNN4H3Hvtl\nx7HNjJ7LY/oXyF/btzTZE9v7+MfM+FtEsyB8uZHBc07MbvRxlzk03/tDfgdblrRz1NbsfsnNWiYl\nQRjT7Y0wVclsekFVWZJWC532cN6zmE8JwoAbN2/z5NGn2KjZaFqnKcumalkVG6bPHrKanVOUa5I0\npihqapNzdj7h6bNjjDEEUczwYkpnNMfOl5j1GpNKfJqwqQs2J8+4ffMn3LjxFkGcslytaJ+dE4fR\nK8/u9dkgEpEVBUYs6DuL0kGTcf6e5ZJ/KDS9h6uG354XeyZcjurAcysyoZ5f0nWeMVksmWYldZCg\nEkuCxFnL6fEpk/MpxliiMOaTzz5FK83Z2QnT8xOK6XawXDgiYYi0pbySiPbw9DyESuFbCVhHaD3y\npZnYhtXNdgzEOYPWqlF3KkqwltB5okBjvSerDaFSRFuTgy+DlIIoCrDOsSwy6rJkL1F0oxDTa1Ok\nPbgIKEvPyTRjOnnIKPeMXUBUbtAIusMhe8MB41Cy70vSXQFcykam0lqyxZy/OXrKeWHJas87qeZO\nS3P33eu833uL3EHuPJOLNZOzFZNn5/zr0zNEEOKjmDiKGKYhh+9fRwbXsVVNdr5hs8iYHV9w9Khi\nXRoMgts397l1c0wrGtGKIS8lWSWZzldMp3PWZ2f8+vQMLT2B9iRJQqfdo7U/5M86CqEkeWZZLXLO\nTk6ZTmbkywX3P8rwzy6gNyDpaP7kP3iXydmci9MZs9IwN54oTuh2OqyN52S5aeaBMUQtSaA1aZyy\nrxwD7Qm1QHiH7ibsH7bZCMmG517F89/+iv/1g98wWS04W0zxSUwUxo0C2Pk56XpDO0lIo6iRERWC\nyljiOOEX79xl2Ot+hwVB2LqmuRfucyHFZUbvaXrJO+3l2jTEUPUDNDp4PfBb3WqPUvpS4x+2Kmk6\nuAy6O9cwYKtx/c2v/+6z11nGfLVCCOimKVopOmmLQApGnRar/UOOHt3n/OwZXgXIIMRnM06efIKx\nBmMNJ6efU5sF3ivIBGpyCnjwDlMVSAlR6KnrJQ/uf4j3AabK6XfbzBcriizn/Ogx2ltSapJ2h6Cd\nkLYTNpuazapktd4wmU5IW43yYa8/4J2f/py/+Iu//NLze309YhdS1RVWNXX9qi6/cq7tHxve+5eI\nY5dZ8OVw/NXXBWiBkLvALBthibwkM45ahjgVIr2jLArOioKqrsnyAjy0kqjx7J3OKDZrugG0A9C2\nRuHQ3hBuGbMCQctBahvzhEorMJbIG6S92sdpjswKgbEC52qsdc0MLeCMhdqgw4Ak0GTGUDiPFA69\nfWhkI4WEkNtZXmsJpCSNI7yAVVFhjEFpiQo1dRRhkgSiFBEUbBYzZos5ImwRtbqUGJQxJGlCfO2Q\nQSfmQBraoultiu1OerFYcnZ6wudHpzzLPZmT9A673O50GY17HN4ZgwQvPfc/OeXjdcHpWcaz6Yoc\nhQlTru/3+OntEdeHLYajFGkMF2rGM+P4ZJ1zMs/x3hIGijQQ7PUShsOE4TBmXYWsqoDg6QnOGS7O\nZ0wmy8aW0Ri6/R7X30h4c9Tj8HqfXjdlmUtm8xKdRMgo5HyyYT7PKaoZ9XzNmz+9ycGNA0KpiKxA\nZTWmtARRRJq2KDcFztS4Mgfp8HVFWVushW4gONTN7h8vaLUTDqVlnjvmedV8X0juPX7EvYdPqbRG\ntBOCcITyYKqSoijIVpp1FBMGAVIpjLMsVmviKObm3h5K/eQ78wx+GXa9wkveghDoK3rKwGW27BqG\nV9M6ucK4/hF/GNxWxe3lzFhcWi8289/N+5qX/7Aqyy7RqaqKyfQCcHjTIwoaC9EoCIijIUEYkW+W\neFOgtEZKjXWGxeyUoqrIq5K6WNFLJVnhKYoc7yfYOkOprb6+rxCymXY4elLhbICQnvF4RO3ALNeU\n2YrF+TPUoEc67JP2+nR7fbyfsF6eUZYVq/UaoTRSCNqdDtdu3Hrl+b22QJxXml5rgA5bzKcTavMR\ng8EB3d7wdR3SV0II2WSWCJwzly5Dz7ENzMZfkmM6nT7XVMLDJ0eUlWG5WlFX5WUW7ayjNhaFQxaC\n0FvSoiC1FaEHZcD6CuN847wiaEQftoE3N5ZcQCkFERCrZv4UtnKPocZ5zyqvsK7ajoop0jAg1IrS\nWmr7/AEJpUQEAus9uWkCbqQkKoyQnZS6thSLFVoIep2UXjtl3Ouwqgxz6zkyjtUyZ3OxwCvNzX6L\nTFvyULCfaA7qNesyZ5ot8aFG9MfM85pPq4LQlAS2RjiDsbaZBQ7bRG+/w524jQ4iknLJUbXh5OmK\nD2cFvmXwqcFuBKrT43Z7yJ13JVnlWBQNeePzkyUPzuaIQJKEmmEYE+0dcP3WHfpaY8olttxQVo7f\nPJ4ij0ApMHELE7cIw4j4rfe4c8fzR8Kwni05P73YsqcvyMqCKZAMBVnhsVbQOrjFtdtvs+cTilrx\n+Ogxj5894WRdc/rrz5kvS2bzAtlqEwyGVGXBycUFeMH1QYe8ipkulpysStzjc0xZM9iL2BtEBFGC\nDEKC7Rx3R+QIcoIoRscJWljGqcAI0SimxU0lZm02TIqK89JzXgvqIKLd7aCEZ3l+htGafLGgrGqC\n7X3yfcCuR3y1NO2+UBW6zIylvGzN/Ig/HE1m/PL3pZSXLk+NW9QfPubU9IgtRbZkPT1ms1lx8VSi\nVXOvWi9YVYbS1EQup91t0entk7QGrDZLVps1EYKuF1zrJahrPe49OuU3D87JshXOr5rZ5NqAsCjl\ncU6SFyVh0OHGtQPanQ7p8ID5JqOfhPTTiE67TafTZji+xmB8DbjPcrEgCDU6CInjhCgKYTmj3sxf\neX6vLRCvC0dfdpAiYTY5YzafAU2Zbmfl9V3CbkfGtgfsv0QTu5FLtCgdonSA1hAGTQaT5znr1Yqy\nKF8ilgQ4FDXSW2LbSClKJ8B6bFVT14Yw0ASBJg4FqVLk3rOxjkI0fpmRlARKE21VwYJAkcQhxns2\nxuGNQyhQonkt1gpbC2oMXkrc1iYy8J66NmxMTUsHtNOEqN9FDnvIsqIwDqkkabfLsN+mZwyLynCx\ntpwsChbLOdn0nL29EXujAbFIyQPJIFL0TE6WLVkuppRhjL+Yo6IEU9aouiS2OaIuyIsSpRX7+2P2\nDsaMh0M6ccLi6CGPn2aUk4LqeIPrV7hByZg++9GIfq/LwahDVlScTdc8PZvz+GTCxXLDpqpppRHv\n3djj9q02rbfeZLA3os6n5MsLnn12wsn9U7KsZJMV+F4b321z69Yt3jy8xuGozZ1eyHoyI3pwxKP7\nj7n47AFnxYKz7hhZJRRZRRiG/GR0wO03bjHoHqLDLtnf/Q2npuTs/JyzZ+dMc8ussOyFHW60upRl\nxXQypRNH3Bz0yKKQi+WGRVZjZ2tSJZmEMevYEamQMFSIKEWECQGSFo6o1SJqtWnHihvD5FJbGO8R\nOM43FYErWOUV67VjqSKMkMRaUK2XRFJQrBdsNhvSJEbFjSTo9yFmNZnXV7y+zYyBV5ZHfwzOvz+e\nZ8YvYheEG+/j5xu6b8I9EFvuzaXNYVVg8hWr6QnrzRrrHHEQUnk4XVdYIfjJ9RF7h/sMx4e0+4fI\n+QQbTJt1WUWMRi326iFV+SEfP5qR12uqqsLYxiAHIIwCnFNsNiWtVkir1eLw8Bq0+qRFxagVMkyb\nqZc4jBgf3mR8+Car1Yro6cPG91g0NqbttEWdr/B18crz/EbR7u7du/898F/QcIb+R+D/Av5nmkmX\nD4D/5t69e1951S9mnyN1ThjGVGYDAupqw2I24/DaG+wf3vwmh/YPht28GvAl2fCLsF5gneTDT+7x\nN7/+Wz775CMWx4/xtSEMI5AvNu0lzWJZW0tdVWTW0I4UsZaIqkZubQtxnlorsjikNJJaCjweLQRe\nCNZCUF5hik6LitrDRkeU7cY1RAkPqinpmjBoPjNKWMcpVVVT1jU5JZkV9G/e5ic/e5/+eIhMYvKi\nYj5ZUGYZM2E4zVZMjo6ZXkxYGshqT1AX9JSmWK15XBbNfG4UUUrFxMHCQmUE9mLOpLjH8NoN9t54\ng363RReDyVacnZ+zynJWlWdztuDh0zN8VWJri3Oe8fiA0XiEjy1ElovzNQ/P16TTU3pPz3BSkXuN\njPu0379JKiRZXZKvl3w2PeOzDz6hczYjHQ3QaYyOQ3znkPT9fUSWI7OC0/mck4s55/lj7p/OORx0\nuT7sECmF8zHmxh36w1uE1rHWkkVZMpksKLOCJ7Mlg8+e0Bvs0+kOKLIVQX/IIIwJByPk+YzifIa0\nhmpyRrmYUeQ5mJrzyQWVcZjNkmG3zy/+6D3u3DjEFRPuVSWhSwlFl0AFaKmxDLBhRawhVqA6KbI7\nwtSNzzKuRPqctbZkwhO0JW8QsPEC4x3aO66/9SZ7SQSu4NHnv2X/4Cbj/esEqhHc+aHAO9dkcF8I\nujsf5D+kh/kjnqNRvbrCr/kDoJRquDdbn+7+YMztt+4Sp21Onj1mNpuwXC3JKkOJJmr16PYOGIxv\nUnvBxewC76HbHmCcw1hHpdsstcZ3J/SGT4ltQpIGGFORrTeUVYW1hqqyBLpZd2ezOdbBdLWh9vDG\n+Ge8+fa7GFthbE3aHdBqtQjTNj7psHGCs/mCuNWm2+nQ6w+5fvOtV57n7x2I7969+0+A/+jevXv/\n8d27d1vAfwf8V8D/cO/evb++e/fu/wT8l8C/+KrPmS0e48kIggTvVyA861XBYl4QJ63vYCD2ePv1\nLOmcFzgnuP/gAf/yX/0Fq/MTfL5Cp23CtIUMohflm7d/1dZQuG1GG4fEsW68g+sKihpXVJRKUYUh\nRkpq0RyXQmCBNR6lFEEYNmSnoqR0Apem+DAF71F4hKzxYnsuQlDGHYq4wyYr2JCT155CGN7dO+Tm\nL/+Ug/09gCYQr3JOLiY8Pj7i4fmMB49PmT56RFsp2oGmk6bEccRZtuFimnOwv0e73aJEUDrPykJt\nJNVqQXUyoR0E9H72PjdvXKevHOVyTlkVZFXNsjAs84z5syPW8wlhf490fEDQHnL9zjuXrMxH5/f5\ncHKBz5YkNkMnLXRnxPVbB7z71rt0uh2KOufZk0fcOzri+MEDOsdndPp9Ojdu0712i73RiNGNPm6z\ngSwj++geR9MjzNkCIZ7R7/cYjcfs743Y3xsxHB/Q742Qdc3k+Ijzoyc8m66ZXVzA0Sk6CBiNhoxG\nQw72RuyNh7RbHdpARsBkUyJsQT2/oNq2LGxdISaNDKTJMvp7Y356503eePM2Tz77iGcXZ4StkMi3\niEmIVAwJiMQTu5zEZSRJSJpGVFVNlpVg1ii3YK2h0CEhMTfTlMpYzi4uwNTcORhyvd+mKEuePb1P\nGCd0B/tIIdD8cAKx23IcvggpJcEfzOr9ETu8KlP+ptj5o0spaXf6hGGMQLBazJjPJmw2G5ZFhQlT\n4rYkSfu0Ovucz8+ZrWZ00x7ttEtWFpSmogwTZNBDdM8Z7I1xztJqt6jrilWyZL1asV5vMHWOVjXe\nOWazJet1znq9QgeaJPwzrt18m9VmwTJrAm6SJARpG9XqU6KZrdcM8wKEoN0ZcHDt9ivP8ZtkxP8U\n+M3du3f/BdAF/lvgv753795fb1//37bv+cpAPBz0gJKqMqRJh25nj7399xgfvMNofPgNDuu7AyU8\nSjreffsN/tl/9p/y8Ye/5eOPPsTUNaLYoG257VU1fRPjobBgjEWbEoXDeMnKhzipsDrAqQInQdTA\nptr2TBrd5yAImz5YXaF8M8aEDKgjiffNyJF3jrqu8XWFdQWFq3AqxOsAsZ6CmFGWFUVZUpUlVVnx\n4KMP+Je2oL3Npr0XOAdFXrCazymnEzp1TdDtoENNEAboOEIEAcpbAmPQyqFVTpY71huDri2HUUjm\nHAtrOZteIH79K47uf4q2hirPmM/n5HmBkiEISSI88bBPe9Cj3UvxyymPfvsbqqqiqmpmszm6WJKG\nkn46RoUBXgvq+Smf/WaJ9AJbFhSbNaE1XDvYp9Nu0+52SNKI2Bfkp0c8evaY1WLJarliOpsR2ZJR\nu0Wv122C6ngExrB++DnrRw85brUpbc3FfEJRZFzrBNwa3MbrCBmEpIEkVoLi5CmffPYJBBJCyWKx\nwa826FARJSFBNyaJ22yykuVyjS0t2nk2Z+f8m7/613zQ65DPJghnOLhTMbCGlYww4jmNvqMbcl9Q\nVATrHGscdW1REgLdoVQCESkiGRFHKZE2yE6K8ob+YEB3NOYgTknTFt3emDgMvjO6wt8FWOdwtmnL\nfJdZ5T80OGep6+eZ8Wx6xuMHH3N09Ijjp08pjWV4cJvUOh48esjRpx/R9jXL8yOMtxhnOakdtmqs\nUWtT85O332Xvnfe4desOUioW83M26xlVlWHtButWOL/B2IK8MOAD4iQlCBTe5xRlyeOHvyIMi2Z9\nRRJaRytq0U3bvPfWT0jTNoP+iGG3gzOGqiq/spL6TQLxHnAL+M+BO8D/wotbyTXQ+10fMhr2mM5P\nKHNLv3OdYe8Ob7z5c2699dNvcEjfLUjh0crz7p3bHOx1CALFw2cnrCZnyHKDtoIgDC4f6NLCpoba\nOFJqQiUwXlD5AGSAF55CeQppGyloU1/+rEhqYpVgfE1hDNJJ4kCjgwCi5yVwZxs7xTrbUFYZsi6x\nUYoLE1SZIcsMY2qMrTG1xdSOz1czHn/28WXJrhGBSImEQhcVgfN0woBet4OJA1wUoMMQqRSqqtFF\ngdYWrQqqsmQ2K9kPIw6TlIlzTKuCs+kF0+UCZx3FlpHsPcRKMYpi+q2UZNQjGYyS4CIAACAASURB\nVPYZDbr0OimT+YxHj++z2WRs1ht0oAkDTXc0Zm802noZl8xmZzw+vSBfrNFFRRxGdA/HjA72aLc7\nTSkp0khX8Oz0nJPTcybTOdPpnCgMiMKA/faQ29f22NsfM94bcPbkKfcefs5ssaSOAypvycs1rVbC\nm+/c5drNW7i4iw8iZL7CLKd88ulTPv3NPUgVtBRKRigZortdQhUTt2N0CCenhuPjDfXaMI4isvML\n/p+jp1TW0paSvUGPQCuSWDFzmrnbinAAvVZKP01e6nUGUUScthtp1RhiFZAECdoZOu2EUHn6/QGd\nvevc2L/G/nCv0Ts3340xwu8KGmKlIUD/GIj/EXE1u5ZSMp+e8dEH/45Hjx6yWBZ0R4fcevc2Xgg+\nvXePo88+xq6nnD8b0+l0iJOUyfmUycWcHXN73OvR/uM/IW29RX90yJPHn/Dgs7/HLwzObbB2hXUb\njC3JC4v3EV1jAYfzOWU54/GjX7NePaadDGinA1pxi+HwkG6rTffOOyRJQittNeY71lBWHvcVglXf\nJBBfAB/du3fPAJ/cvXu3AG5ceb0DvJoetsVyWdFudRmPulw7/BkHBz+j2x9fOrQY56iyJVW2JAg0\nOlAEYYsgan9nrLheBe8s1lTc/+QTfvXrf8en9z9D1xkhlqLIKbb60HEU0e60CLQkrAucrbDOURmB\nEmvkJanLE9Y1khrvLc5bjHEY43A2x/sMrEcWdSOCVawRUm0XjMbbV1iLriuktYSBQLViajy12yBM\niaxrwlAjWwnG2EbowhiEtSil0ElEsLUClN5jHU3WJWskHm925lMCrz1xHDIc9hkNY4bDGGUygmxD\npAOqJCJpJbw1HoHyaO2oa8N6XZPnNXXd9MTbUUQYRai4yfjn8znL5YrVes1qvb7MiOOt1Oc62+BO\njtGANIasyLFVjcVjgNpWmPWCnIr5akYURkRxjFaa+WLJZpPhrSUKg0s942K1Zvr0mHK94mJyzuxi\nwvFiwSbPUGhQEq0ClAzJsoL5+YRQLVFSUduaoipJOh3eeu8donZA1A4pSktRGJI4od1qEwQgtWE8\naOHf7lNlOcrlTWUi01SmuRatXhcRBNiipmVLIueoZEAlNUHR7M6NFZhaYKzDGkuSJtDrEmxtI61Q\nWBXQa3e4ce0m49GYuNUlaXUIgwhj7Eus4x86dkSg3ULZ6MC/2DOWShKgGy7LFapwYzMpvxektu8z\ndgxtHQQMx2PyIieI1qhQs1mcocOIN958k/F4QDcJCLTgfJHx9HhCLAWjvQFNIBacnj3gL//yn6N0\nDESsljOmk3PyLGvsDVFIkRAGId2Ox3uBlDnW1aStFq1WSpyoRrjJ51gvOD35iKxcEMdd4rhDpz+k\nNxgjnMMUGUpr5v8/e2+2ZNmRped9Pu3pzDHkBCCBQqGA6m52NUkNRjNJZJt0I1lf6D10o0u9hV5A\nr6BLtrEpM0qiGdUmicZBrOoqoApjIqeIjIgz7dknXfiJyMSQBdSY1Wwss8i0iHOOn+178OVrrX/9\nf/3b5Zr+V8D/CPzP77333j0SwdO/eO+99/7JBx988C+B/w74F980yHY3cnKy4rXX3uK1+3/Cya0/\nTXy3MeJCYHCW/e6K+uIhZZlTVjnV7BbalIg/8JRZ4pgOfPjz9/nnf/lPsWNPWWRkODZ9R9+PeBeY\nTidMphNyLckZ8L7FOYGPkjxG9I08XySLkBHxcSSEJCJge0dwihg0IgqkFQgbwDqISbZMCEFwFrzH\nAEIryjw1oPdDSz+04Bxi9ORVSbGYJxUo63BNR2g6jM4opjN0kVKhzlvGIHDSA0lHWnlQo7g53jzP\nmE4nHB0ccdFrJttIpzRdkVPN59xZLCmKiNYd/WDZbRy7/UBzoGzMMnMgCEhiFvW+pm27A4XdeIPC\nTICiSF03bDY7Mh8oQ8QDXqT/B5koSvt6w67f3KDgy2JCZkqGITn1GCN5Zm4iy76uWe8bri40vsjY\ntS2X2w0hWEqhKfKcIp+gZUbbDCh3yTw48hjYS02rNNVsxvHtO8xnOYt5ztVmz8XVDiUNJituelzz\no8hqGen7Lfv9E3b7PX4XsE4xmVRMZjOENrjBMnUdpRvY65LalOjYEV2H7QVdLxl7xzBa3GSCGVeQ\nX6swCQZgru/z+r3/hLe//0e4gz6wEOILTubvisUYcd7DYd+bWgU18oX6uJIpJX2dLXjx3pO/gn75\nd/br2XVkbIzh6PgE50dUXtD3I832nLya8ub33mIynSHdnma75rPLj/jw8SU/uHfM63eet8Wen3/C\nj3/8v1PkC2bT24kjIQS8T0I7QmiEMBgjMBpitEQaXIjMprcoywUh1MTYEOkIceTp0y2ffvY+88Ud\nFot7HN1+nc474tjTby6QJqPzL/dbv7Ij/uCDD/7yvffe+8fvvffe/wtI4H8APgX+l/feey8Dfgr8\nr980jpQQfYF3E3wweFL/qneO3e6K7faSx599zOPPPma1KlkdVdx9PZBXx0hlvmn4V2riQDDw7rs/\n5C/+4r9nu9/SDT0PPvuUtvspwzAmwfoY2e33FDZDKUNVTtjXPdY6jNaJQSmmixRUajGyzjGGiFEK\nkaskI2hT6iy6xA4jdDzILR5o/oxGZYc0ppJEKfHOI20gH0GYHLGQyDy7kUYTQqCMQZQRXeZkRZ5q\nhqND+EjUGUpKpAsoITHlhCwvKKWgkIJRKayUKJVj9AytLErsOSpzqtWcTudsB8feOnJlyWJgoRVF\nlfMs+MTwlSUOZKUkIUIzOPo4cme15G6V+GObfoDZHLlcYeua4fKKmVEcVwUWwaXzaB+YxkihBCeV\nQSvB49ayc5FqOmVRVXiXZCj7oafvk2CF94E8M1RZjhPQx8hqueD0ZIWSAqkObRUOpFDkmTmc53Q/\njwH6KCicR7c1jQjUUTB4jasWyHFEtQ3TacHsaEqUisEG6gak8ghZIuSIczCdTplOJ1RVick1Ji8x\nIqOS6d6REqTUCYxHRAmHlJoizyiMhDjSdjVlNePOvbd54/47TKaLQ4sJ/NL+n79jlljzAu5rEgPX\nz8d1xCwQBzlM+UpkJf+u2DVYazJdcuvOWzgX2W5rrBJMFydMFsdM5iu0VnTdlm6wrI5OeFfNeG2V\nc7LMiSoDleGjY7Q9hamYThbs9y3P1mvqZkPfb1BKUJVJ072uE4J6MhFkmcL7jmEQzGdTJpNj2vaS\ny/UlwRd4X+Dsnt32c55dXlF9/hFaRlS0mKxicC/3W79W+9IHH3zwP33Nn//8VxlD64j3OX1fMlhJ\nf0AzOjuwWZ9x9vBjPvjZ+/zsZ+9z9+6Ue3fnmGLJ7bvv8Yfthg8N7TrjRz/6h/zp3/sRD54+4aPP\nHxL1/8WDzz6laRq00iAi292OYcw5OT4izyua1uJ8nzhbgSxGiihwRuIyk1hfHGQmEfdr6zGDS43o\nzuE1iEKlPLFNQAKZa6I5MN4AXgrC6FBjJLcSOS0Qk/JGD/mGq9colC7QRYHJc1QI4Aakj4gsJ9M5\nOloMkryaUk4rZsFTBc9lhDUgZY5SM6RsQAiOy5y3ThZ82gc+vuho7cBUWE5zyXGZQ67oRoMTksyY\nNM/cEBA8a0YGabl/esJ/9cYJT682PL3aUi9PaY/v0J09Ra23HOWaN06XDELimx7jI0ZrTsqcHywn\naKVx5zVtY1msZtxZTG7UftabxARmbUqRV7Mp8+WcwTpi27NaTHnjtVvkecZgPXXdsdnsGIeRvMjI\nsgyhc7zUjL1nGB1hbJBNy2XvuGwipirJJnP0eIWs98xngtdOjwk6Y1v7tOERGiEmKJl6JaeTWUqJ\nFYa8MOgsRxlFiaBAgMgRRLT2KO0wxpMZR1kYysLQDz1dd0k1K3njzbf53vf/mGqSsh9/CNzSf0h2\nnar2X7M5uT5XUgq00kkT13ukjAipv4uLf0d23b40na3IsoKuG3jw6YcoIVkc32Fxci8xb/UtTTtQ\nNx2nx7e4e/+ImeqY6YGYTcHMQAiUUGQH+ti+f8jVesvZ+Rn7es1smvHWmxqtM9q2YbSO6XRKkWd0\nfYN1Hbdv3eLOrbf49EHHxeVnZDrD6JJ639N1V/jYEumYTnIWizlFMWcYs5fO79WxZgiH8zuG4YJ2\nf448M1xenXG1PsN2lwzNFUJccXKsmM9K8nzG0A+cnz1ksTxlOl2i9BcP/5ooPsIXhQt+z3at1GS0\nQucVx6sjRh84u3uXu7dvcefkhDffepumbfnpT3/CdrumbXvyPCPPc8zByRZZxkRpKq2wUmCFQClx\no36iVYYJDu1Tqnu0EKSEPPFEayeQQiEKQ9TqhoFIHXikY29hsIgyQxbZS5VutNHpuIRATydJJFyr\n1A7S9YgQyWYz8rLAOEv0lkIoFkKhpKbvR6KRFKcT2kzzSetoVMbt0xVKBWbKsswUR8WESHKeS+cp\nsoxMS4Tq8WHATDKOT05QmeLDxhFNQXWiMbM501mODQtsvMe8yFgcLyDLqRB0IUWnpYpMS4sRgTeK\ngqxXnEwKlmV2uG6gqxI9X2DbBtu2LJdzjo+XhBDphgGd5fhiSshhVg3MJhmr2ZLgItootMnIijlC\nlyw7S9NbVowssUzJmGPIckmWC1AlIUwpj++wuvMOqqgoO8+qbYnNnr5tWHcDvY8URUGWZWgt0UaS\naYVWEuc8/gVgVdg1NN0eYzLKsmJS5symBbqTNH1DWS6oJguKKqkwfeeEv95SZ9wvUX0KkSBSPT2J\nUKTySbim0jzojX8XIf927HpzJIQgy0uOT+7w/Xd/RN006OkSozWTsqIXkU/3NU8fP+H0Xs58Nmc2\nmbGYnGCKKbqYspxMuXt6l7HbM3Y1T87OCCGQZznTW7cpCg3BMPSeGC1SOrwfGMeIcyNEwXZ7iZKK\n3X6Tul1UB3LNdDZhubiNNAKZQaYlhZG07cj6cv3S+b0yRxyixYUrhlHTbI8Ymo4f/+xf88lnf8Ny\nrlnMDVVV8O47C8rqlLK6g3ORx48+xjlHUVRfccQhRux1alWpV+aIQ/DEEAjeMo4CIyV3jo54484d\n7t+7y8npbf78v/5vOTs/Z72+4vLyGft9jXMls9mEqiyRMjncWVUwKQvG0TFah8kMWV5glCYzBqMt\nRvd4r7BjRojyoDaT1AulVGSFQUjJOFqCD4l+TSvsYLGDTfKGUmCMxmRfvSWSPq0kywyTokQbDYd6\nYtc02NFh8sSI5u3A6EcynVOojBgddd1gcqjuzXhWR55ctZyelPzgzTuczDUzM5Jrg1QLxqAo+g7n\nA1VRYHTEuseMds0dt6Ltp3z0+Rn/6vMz7h9PeeNkybzKyQoBxZx4VGKynKKcMJlN+f58xigUZ41j\nHHYonqBDw5urFXf9DC3lDa92APRiST547G6D3W5YreYcn65QShFCZDM4zlvLGDrms5FVLsjEAi1S\nb7jSBdnkBJXPadqBvrdMCkNVaJrO0vQORY2iYZ1VXCio7txnee9PKKYLptaRjTtWwzP82HA2ws5f\nL+ryoMf6nPGq70b6bry5Vk3nseOWsspYHi2YVhWTskSbnG4ITCYnZNkkydh9h/79tS3EQDjkrq/5\nr1/c1CSRCfWdI/4tWSIJCTdCEycnd5nNlmz2W55ePsN5z3xSkRNptjUPP3tAmRXcXs4oVksWR/ep\nqopJVSLvvI4UgvOnn/D44c/JMo2QgsVixut3ThDA5XpL2+yQ0iGVxbmernsO6Ht2+ZD15gxrD8+e\nqEHVHB+/y+3Tt6mWp+TzJdEOjPsNn336Cevt5y+d36tTX9IKpQQxWux4iXc9ImzJtcVoidGCxaRi\nMV3hIri4Zhj2jINGqwEpWrJ8gsCQ5TPK2RKpFHZskyPOStB5Ys0RkigkEYk4gIt+pxYj8UYGLC2c\nuTHcvXOPP/sH/zmr1RGvvfYG5WTOf/aP/jF5OeX86SOaZo9DMiKZZhmTwlAUOSbPMFn+XPawHzBa\nk5kMIcYURY6RIJI4Q54ZtNbIg1CD8w5rxwMiNoBNyPSu7+n754v4tbxhUeSUZZF+rmvDHOo0WhEP\ni4v3nn3bUddtSj0j8N4SCRwtj1gtJ1ibIrZCQSkVRxONzA1GBLZPn2L6gurWlMZZLjZP2beW4XBz\nl3nOpMpYLhRVeUz/zNKcPyPsdxRuYErFyijKXJFPJC5KrNUgDUJLmq5n37S0NrAZPKNt2cRLTBwA\nQcTiDuCbcEDqdw5aD2G/J9Z7ZmXBpKzQJkkjDrEj60bEYBmvOtwsY3k6Q6qC82cXbOsdMRtAr8EH\nZAhIJZASwuDwvU0AtuMSIwZiP6LHnmkcGfZXfP7knLHesAw7ShMR0wllXhKFwXqo9w1121D3lqYb\nGbse2/cs5jMW8xm79Zbt+TPye7dZzFI6LXjH2LaM6z1Wz/DjmOgCnQdEqvV/xyr1K9mLEn/P//Yi\n33XAe/EbZRyuJf6+uzLPz20SkfAorZmYRQIvRrB2ZFJWuK5jGEeatgelKSYzhIgM/Y4QHb11VGXJ\npCgQQh7ufXnA1EikNBitmE48VTWhmn2PECxn509Yb9ZkJq2tXTsSQs9sNmE5n+NjjbN16lDB421L\nXweqcsrtu/epG4tS7790fq/MEeeZwegSKRTeb0DUHK80mbmL1kn+bTldcTQ75qq5YF8/RgiDFiXr\ni0vq3ccoOUGIGYujN7j1xnuUZYnrNgc94SOi0GSHyDgKQxAaGUYE4zce3+/Cbt99jfnqGK01Ji9Y\nrgz/5L/5C+698TZ//S//ivff/zGdg773TCea6aRCHdJbRVlQliVN06SUt84wJmccOro+KTq13YAx\nIZFUFDla54zWsl831HWdOHdjRBy0hOu6o2mfS+iNo8WOlqPjJbdunWCyjKIoEmk5YK2l71OvL0DT\ndjx++oyLyzXhIM4eian153ua1fI5UtE4qAKcHFVUt5Z8+uk5P/n37/NsPoUfvcPoAz/54DOenq8J\nMSClpMwzjldL/uxH73H/tTtcPvopH/3Nh5RG871M85qw3AqW3GSYqaIZIzsf8MHhxsCzyw2ffPaI\n7b4FqUBEZBxRMqL1DoSmazu6vj9kHCwhgo+ghhHVDyynFdkf/QBjDP0YyERkIT12P1Bva7LlnOPj\nGaPK+PDBh3zw8QMarxnRLAvN1EiGoWfoB3IfyFzkhz/6IdPVH+P7Le5yjVycMW0ec3m55d/+Pz/m\n8bNLCg23jqe8+/073Do9xssZ7QCfP3zEwydPeHix58nVHoYWMXS88/03eef7b/LsyWMuHjzkeDFl\nMa0QEq4uNmwvztk+fIxxmrFuDhSEEGLCG7zICfyd/eYWDupt4jfY8yup0Ac95e8sWYqMU/ZBa0OR\nF9w+uZXS1sCGy4R1CRFTLZgc3yW6ht3VAwYxYRATjmZTjmZTurr+Ag7AukDdjMymJavlnNXxCa+/\n9R794Pk//4//jU+enTOf51RlRtslwZ7VYsat47usd09Zb3vaemBXbgi7Czrb8tZbf8zbb71H3Tiq\nyeyl83pljlgIcWh07pHKYYxGaZhUJeM40A0dQzFgnWUYW7puDWiULJC9ATR5tqLMJfX+gvgkYDKF\ndC1SgMwX5NURy/ktppMjOPA5/6ZyXL+JFUVJNZnd1JCzXHH3zh3GruHD0xOePpygW0sIHhMjMQT2\nbc8wjMkRFwVt29N1HbPpjOXCAEnQ3gjFwmiyImNSFihjGEdL3TRstjt2+93hKJ7XrZq2o237Q1rt\nuSNOqW2Z9HyXS8bR0XUdMQaMUQgim13N5eWGy8s16/X2pg9TSUmWZWy2Gy4uz5lUBdNJiWpb+l1P\nNZ1QZYboHc8ur2gGy+1Nx+A9Z+dXnJ89Q8VU46+1YqgbVvMFboRPHjzl4ZMz3n3rde6/fpc8ePZX\nW3oVyTLFph64uNjjXHLk55drPn/wmF3TkJnUVy3Dofcza0DC2A6M3cgwjgzjc6IUGSIyBM7PnvH5\nh58ic03nUyQZQyB2Pa4eWdsa//FjeiF59Pk5V0/XNA5sFLhJRpcrurplqFsWVcWirNjsW548XbM7\nv2J9uaFdTXHbC9qLC548/JgHzzZU5YQoIrdvr5Kmqd+zqUc+f/iITx48ZNd7usER+obQd1xcXlIW\nGbFtOC40txYLTk/voTJDWS3Ro8A/vWKeacpMY7RGKoUQHABH1z2x3y36vy27fq5+XROkqPpl6e3n\nZYr/eK/ZaBP/vVaK3Bj6vmW/2+C8Q79QXtFKU1ZTtDbcvfc679Q1Rye3kFpju5GxXnO+Ped8Z1lM\nKlaTCeOwpasvOTt/xmgthOSMQVKUFbnJsPsWN3iOFytef/0N2rZlX3eAwOgSrUuULhCUxFDRdpar\n9Tmj7Wi6HVqWzGb32O9aFvP5S+f56mrEwdENjhhbnDfkWYYgJwRF3e7Y1dsUvQnJrtnT9SMxWoQY\nkKJEigmZMVSTBcG3PPj0A7zvqLIcozOENExmp5g3/1OmkxUiWkR0vxSA8bu2JBxhkwb1QXtXYsmU\nZz4tOF3MWMQ9oR/R3tG1A2cXlzy7vEoAK6mwo2UcHW+8dpf80BsaY2SWG1aVIatK4nTK3jp2+zXP\nLi65vFqzbxoggUiu1VGS4ojFu4B34QZ40jQd1jqqouT0+ATvPWfn51Rlxlv376KEYL3e8vDJOftd\nndLbMSZJ5iyNvd1u+CwMfP97b/LGa6c0Xc/lVU0oS9TOsukce+txo2XbDInExQdkhCIKdIh4O9A6\nz88/+DkPHj/m7Mk5u7bjh6sVr/3Jn3D2i4/4+BcfYnpHbhWXz644++wR3jq00eyHgd2+pvcWH8Ag\nyJwgRIHLIEhQQ0APEW8d4YUeWq8kzmgePT3D/XVPzGBQnmo25Wh5xCSC8YHLqzU/e3bJbnDQduTD\niIoQhERYsELBMKIHx/R0yvHrd+lC4OcffkR7eUl9teO1zZ791YZmu6Vra5wdUJMJUhl6n7HtBU1T\nc3G55vNHT3n85JyjoxVv317QNoa2TZmPzx8+5q1Zxffv3+EHb77F3XtvM12dIIXg6fyUSVOj85LV\nYkFVlQiR9FedCzjvvouM/8DsOqp+mUkhUFqh/iN2xG3fc7XbMSlLjuZztpsrPvzwb9jvNohD+xjA\ndLbkre+9x2S65I/++M84vXMPUxRYOzAMA13d8/DTT3n/w8/IjaHKs/Ta2FHXDV3XU+YFkNpPVZbT\n1g1PP/i/iS7w2pt3uXP3H/Bv/u2/4+cfPuZ4dcxqNUcbQz94nNcIMaXrLdY9YRh6+r6ja9/n/Kxm\nPl9xsvoDdMQQD8wk4L3C+4gxAiUEo3Xs9x1abRFC4PoRMWgGN9K5lrKUzKZTEJbR7uj6DRfPPsTa\nhkk1p8gKpBSM45aqmqG1opqcUJarVzddDnWOL20ERPSI4BHOI6xFDgMqRI5Wx0zv3GG6PGFxtObJ\n40c8efKYcXRY6yjynLLMMFKBDwgpyDJB5wPWBnbDyLPLS9brDV3dEkaL1AqhdWrVCdcaron4wyhB\niIEYUuoaIv0wsNns8HZkv94Qh4JuMcX6QNu0dF2f2p1eGMuHiHOeumkYbcvRasluV9PVLW3bw9We\n8OiS/a7HlAVFVYJIOrHz2QxGi2x6sI6YKaJRdF1PPY7UdWol6H2gjbBvOzaXa4igVEaz7ejHwNgP\n+LpliAGtFJNMYzJQPhBHC86hMpMWsZDUr6IUiGtEulR4o3Ba4a3n8vycUQRa5VmdHFHmJbk2qBhx\nzrHft+xHy0QqijwnB6IAn2m8lKkdzIdEcrJasK9rrq6u6NZb+sN5Gbuese/p+x7nPUYbRJRcPttS\n7zoGO7LebllfXtFudiwnFZmcEXODIkUOTdcTqpzcKPK8IMtnTGZHlEVJ8/QJUid96uuMx/Ob8Ds6\nij9E+zIA7CsmJepLr4eXfEb+LYucr+ceDlmFfV3TtDVPH37Cxx//nO368kaj2DrPYnmME4bX3vge\nWWG4feuE3lm6cUz4IJ0zjiP15pKd90ASAHEvpKaNVhS5QqmUHRz2NU8fP0ILwb137zM7PUIqRdcN\nqFPNcrHg6OiU45NbWB/Y77eMY0/bNQyDpe8d9f6KzcZy66Tj+OTkpfN9panpLNOAJNMlRhcUWZZW\nhGjoO81OtnjfMw1TpmFG2224bHpu3S6ZzxRK7blYX1HXO/b1mhBSROP9kJBwnefhw3/Nvn7C/Tf/\n0St3xC8zN1raqy2bpxe0+4ZyMuXPvvcef/+/+C9BCMZx5J/9s3/KP/+rv8S7gCNFpMM4MtOGqdas\nReQTPF4KotJYH+j6AT+OyNFRCUlWVeiywB/oD68bLcoipywSvaFzLlFaaoWUcP7sHOk8ahgJzvPk\n44eJLrIfyTODcxbvJd6niNpZm25wJ3Fe8ujJBXaMVKOj8oHd1Y5N09EBt4+PmC0XTKclSinuc49t\nUbJ59IShaSlXc/S0whEZrcM3Haof2Fxc8rOffcD4+BHUOwYtGfMMbXJO3rjHfr/n4vISQWRVVeRl\nRpZpwjCyt5eM3cBkOiebVfjR46xDWIu2lrIoKIqCKJO0ZKhb/K7BuRHv4wGA83xBK/KM22XJDMAF\n8OnBjgiiFIQYaZoeDygtyXPNvomMzjKMlnG0B6Ym8D7SDx7vBXleElzg4S8+YRxG5CRnjIFx3yBH\nS1c3rNcGYwyZed5Z342Op1dbTrZ72mGgGEYicLXd8eDxBVIb7tYt8yGl4aVMYC2lEwnNd/a311LJ\nKzmnL5tSCqXV35oN13V/tlGa5XTK508e8dGDT3j68GMuHn5Gu9tiraPrevZ1Q7VY0puKrbWscsE0\nUziVJ1xROaWUmtnyhOPVit1+T93UyQe90HlTFllq9VOR7eaK/bZmGzxlXtBZj25HxiHgvcSYjNl8\nzuv33+Z77/wxPvY8PfsA61rGcaDvIl0vE55HCfZ1Tdf/lvWIfxsmnUFGSRQC5yIEi0GjpQKniMHQ\n9xbnO5QqKKXE6AWzRcVyteRodYthrNntr2i6TeIJjuGwi3JEMiKWYdzT61TVOwAAIABJREFUDzvy\nYoU2M4p8SlFMExuRenmD9e/Tgg+HG6qlbTtkMWFxfMo77/4R5WSGEJL/8OOfJJ3hQyTTdj1t1+Oy\nDJUXWAI7bxmJCdV8eOJ0hCoISqMpigIzqRiGkYER5xUqRKqqZDmfYm0CLGmtyTKDd55hHFDWU/iA\nGx3rusNKQTCKPNO4QRGkTNzThBQRB4cSGiEkza7lqYucaEOhFUPX0Wz3qEnJfDFjUWRUIiKVIFQl\nfjJQa41VinxSUsynDP0AzqGFQAoY6pr12VPUdoMce6Idcc5iypJ8OqHzDr+RaK1YrhapRq0k3b6h\nURuElCxmM2anK9o+odBV2zH2kmo2YTafHdReJL1SdKNlbD3aeWQQX4AZaK2ZViVGKbouIdO1TsIA\nwjmCHfFKMSqJIZJFh44BYmqXciRmxQgJOWUDwgVMjNAPbM4uqJuG6tYRssjAeYyPhH5gaFqq1ZLl\nfEpbNzTW4YaR9WjZNT2jdTjnsFLQdQPrXY0yGf0wJkpHQMbnqNEYIv6XYCiuUfXfZCnxE54nf8Tf\nvojsb4UdIkYRrjd/h0jyC29JkaW4jp6/dA1u6tjX9ebf28F/vX05Es5MKlsOfccnH/+Cx59/Qnt5\nztA2OOcZR0vXD2ByhiGV2iQCHUe22y3bLrW6GpPdjJn4+keW8yNOjm8jhcC7gemkYLWc0/U9m82G\nzXZP0BJRFXTWEfc1/WCJUZBlBbPphCrLKGIkWkvbNljriEGjtabIDVpnaK2JxFSHfom9Okfc5Hil\nGYRjHPfgHUGvKJkgBkFe5HgvGHrYmUDIWk7eeIe333yP5axgXsB++4Sutez3A0PfMNgxkTqK6/4+\nMFlqafr8wb/j8uIxr939IXfvvEterSiqFX8ISTkvYBDQC3Bf0CkWeGEIIsOLX36p1KG2KoXAK0U4\nLJgmQhbEgaUqQxmDtV/kE86MYTqZpD5la9E6ASOc9xjroB+QbY873PReSVQ+IRMaLyQiQhQSrwRd\nCIwRSqGYK4OQiq87x9I6VNNhMk1WJKnHYXC0bYt/ke84BOgHQt0yOksvQOFZeIcNAQtkmUZVJUhB\n17X0fZd4abOCxWLGpCoZxuGGUziKyGIx5fadEzbbms12j+h6Qm/JZpDlJkXGZUFrLWq7xw0jI4Ii\n8rUKveEwtg+B0mRM8hzR1sTeY6VgyDRZcOTNnsxZMq2QmcEXBm8UUaZx8ygorEPXe6TSCGcTgrzI\nyaqCMc9xSie2sNGzrEpeu3fC1ececblBxECPYBwd8VuIN8QYsc59bRT1ZTNaY75Fb2yMgdH5mzGv\nI4/ECf6d/bYswiETdZ1eTRslcxPlxST+8UuubSLKCCASSlu8YrCeDwHvA1IIjFY3fcPYkf35U9ZP\nHlPvt3jrkFKS5xl3l3Neu/8Wf/qDd3n3nXeZyxbXXfDzX/yU//DBB9y+8yanp6/x7OwRT8+fEkOH\nFD1v3P97/P1/+OcYFWn3zwhuRArBw8ePWW827PZ7bt+6w3IxYxh76qam6zuElBRFQVVV7J9+zocP\nP+XBx7/g7GlHVRXM5zPyvCQzJSHExNBXVeRFyU8/+Ppe4lfmiP0gCL1kkJHRjkTb04SCEDWBSFEo\nYA7RoCQ4JZgcrbh//y2qPEeHkbEfUeocJadoM+KCJvgRaz2ZiYQgCB6GoWez/ZgQPiW4AUlkdfoO\nplgghfxWO/UXWad+WzvH6zF9jFiRGCm/3O0QEQSRVJQApAAtEv7bv1ALkghMBITAKU1UEhEiOsbE\niKUUWimkSmhZeSCxVypFjsaYVDuUqU6vYgItkAmC90Qh8CEwWEeIihIwSiVHjCRKkmLW4Xi0UpTa\npE2Buo6GBBKBkiJFh95RWEvpLEMM2H5kGPovLhwxEq0j9iPReYJIcyqDT6QiSqOznKwsEx+384l9\nTCuyLKMoC/Iix3lHJDlMSH3sRZ6kDjOtGaJAOYeMqV/6mk0sFjkhzxi6ngKBCRHlPdJLRIwgZTq3\nQiK8B+fRUpIZnUA00ZPJdD5yIpWzLDLDuMyxPlB3HRgFIp2b/PpHRIwCkxlyrZgWGUWR0RpNrxI9\nX6k1syJjVeWMItL0PS5E2gPOIhxAgSEkIRV3qOW/WEJMC3Hk24geXkfE3/S8hBBSmeM66j6w3L2q\nRV4cvv95zVUcgD7JIokpK/6SbMA3jfk8+D/MM15Hp1/ChPBVpPN1BHidNbg5zm9gB/xyDTkd0xed\n6c3Hb0hHvjhGCBEfUj+5ECIhGF+ZxZu6rzhk/7y3ODvQ11v63Zpmu2a/3+NDQBuDNoqyKjherbhz\nfMqdo1OM37AdN1xdnvPRB3+DHzwySNr9lhhcAv1iybKMxfKI3ECZebq2pmsHnPMM44h1FiET40DT\n7GjalmFI6eVrrvF6e8nVszMunj5jux0pihnTaslkOknttM4zDANlVZJl5Utn/soccasasBovYuLO\nLSVjG+n6Fm9Gyixy+/Q+t07fpt7v2O92ZGKkvvoJYnLMpDxmHAXbrSDGJa/fu411e/b1ZxBbynxC\nWVSMrjsQVwxY6/n84fvsdmve+aGkWr1Jpg36WzjW+AJrl1G/HaRiiGmBHIO/cRAvmgBUdKgQUaQo\nMROSTEqGEOi/DpRxcAJSSqT1qBBQL7xNiOQUsswkUTCZmLhSD21aNsamp286RG6Qk+Klxy+ESOIT\nWmNfdJ4Cgpa4wiDzVMO8ZuE1UjIxmtwYJmXGpMqZlwV1hBAGRudeei5MhCII9OHlaDJiNUUUE0xW\nkFc5RaYwmWawlsxkBB+xY6IilIfjHUfHdlsjn14xHKQUr52/d55xsEiZHjjhXeJ3PigyKe/J+h4T\nE1mHMAZVlkhS//HQjzAO2Ewhgke+MIFCa+ZlSTFfcTxdoj57wG6/P5QcRBLPUJpyopjcOiGvSmZK\nk3UDqyIjI7AmIpSknE+Z3ToikxCu1rDbIps9Tih6ZRh86un2ITBaSz9a2tFhpP7CBu5XMecDMbpv\nbGsNBzDgtUUi1n/9Pf77MK0URit8SL2f19HWdetLPPz967ilv+2Y1w5RyVQXjIC9JtB5wcThu7V6\nnh1wB8CR1gqjdRrT+ptN8rdlCIwxXe/rY0kb/fT9IQSs+2puKtw454h3nvCbND7/hvZ1x7u5OuPq\n2WPOnj6A6JEKRtfTDwNykBAduTGs1xv2+z37psWOAxdbz65TWJez349cXWyoipwffP8+zy6ecf7s\nGR999Cn9+FdMq5JcJ832cejZ7DZMJ1OkUOx2DX3XM5lIvB+xNhFG9X3Pfl8TosBP5rgstYeWRc7R\nak6WZQQkZZVqyVIKmqZ76dxfmSOuQ4MYUrtENZHkhWLvAq0dMNqSZ4Jbt0744bt/yqOHDwn2IcHu\n2F4+I4w1BE3bDbQtCKacHJ/g44wQNgwDB8WfgmF0WNvjfarF7us1wzBw+voVg7NJNeVbOGJ/cJrx\neucq5TdGxtcR7/Uu+MWoOkXCAetTpPLlRSqShKRFsAhhEcGlCJfkzADsYewQI+LwQEl53dIgUdYj\nw6EuFJ/voKUUaK0SS006GIZD/SLGiO16xs0OPSnJc5Miv8Mc1IEOM839WrdVJqfEoaUCkEpBppFG\no41Ghojw6bsVitykhSw3hjLPsIfX4mHu1z2SUsoUoQuBQZDH1OPrfSAISTQZKI0g9T0v5yXWO8pN\nAUi8TyAoIcTzhU6MdN2A2CbARgxfjRSsTa11hfcUmcaYJHcnnEd1Q3KwIqGss7IgQ2CBaC0qOIhJ\nSPz6nMaQFHtyo5ktZ6g7t9nUez4tCrRWKZI6ZC6y3FAdryjmU2Ye8rphmUuMteSHqEnnGfmkRIZA\n3NXEpoG+xUlDoyO9c4foIoHoButorSNX7max/nJk+zzjAyAODHHXJg5gNQ8iHrS9rv952VMgbsYN\nMRy0Xl+NSSnw/uCIpTgA09Lsrp2p+xbp+RdNSXkY091oOGuV7pMY+UJW4OY4DtdP3qDWU/p4tC5t\nvKVMvzuHjgeJxV9Bfz2Er59DIN4ACV9mX/ikOET34qv90NfP5sssxsMzzC9/39ceZwiH9HQ6d0/O\nHvPw059zdv6Y0Q2H+8imNlAUox2o6x1XVxecnT9ispjRjQNX6y27zhExdN3IZr1hPsu5fXJE3w9c\nXjVcPLvi6urfMK0mzGczhADnUgkrMzlUil3dMrgeU2RImTIX3nu6YWTfDRidoVcV5a5ntR9YLJfM\nZxMigm5ICnKLxRLnLLvd7qXzfmWOeL3pyLQhywx9r1BKkucSrQXD6Oh7j/MOiOz3LY+fXmDyHdW0\nYbd3XF5Z+k6glESpQPBrYrSU+QmSBdYWaREOHqMUxdRjtGS5vMtieY+TkzfSDudwo3xz3SveRIz2\n4DjNIb37MvOHdKASAi3lDRe2D57gbVqmxVfrZjFeazJ7tLWpBjtajLWIw8NkhGCqFBngvEvvOdz8\ncIhKvEd4h5YKyaE+au2XdukpNWWtvZECZBgOKc2AtRYVIjImxqyqyAlaIZS6qYtalxZ3IQSFlBhg\nIgRVeHnbtnOerk8kGiHE1GJWFkzKHHvgdTYH5SWZGaTRdFLSRhito20HXNsi2hbXlLhmgsoVWa4Z\nRsc4jkipiTGglMJkJXG0FEVOsJYsN+RFljiXA7htw4CgrEqOjlf0fU/f9WjnvzAJ59NxaylTbVor\nyqoiCMlem0PdKqeYTBDjiIvgXWAYLW0/sG075mPNNGzRcsAYhTroRl+bkBJlcvJiQjXpyRHMM4Ee\neoxWCdy3rdlJwWxRwWJy89nROuox0ZdaOxK8Qx5Ugqw98ObakeAtUj4nREjX2xODT+ULqQ662p4g\nNFE8R2YrIVAyEKPARfGNrfkCgZIRJV5NROx9YMS9INCQgDPX5/x6o/CrjjlgD2M+/3uIyakCX4mG\nIbl+96VI+ToSd4f2uuTUU3Q7jN+cgfhdmJQSc9hUvLhJud4sml9S7w8hYL1HCDBKf2uSmBgj7TDQ\n9B1X2w2XuzXri3M225rzbcPlepdah1TOcj5hPp9jtMC6PReXH/H//fvAo4fvI1SOtZ5m+5SqdMTQ\np3S2HxjGHqUNr712h64b6NqeYeh52rRpXQ4eYzSTqiKvKo7vvU45m3N6ekSwlodP/pru0YfsHWzI\nuLO8xa3jW8xvvckP/qQmDDV+rBkHyzA4ikJQZBmjcMT4B4ia3u8HJmWKgqyNOK8wBrQWdJ2jbUbG\nIT08Tdvx7GKNyXdMxhaje7RsUGqKkjO0DgRfExFkJtWVnY2MzqGUIDMZZSGZTjLu3n2XO7d/gDdT\nhq4m5oHAl/oqSbVYKdMiEuL1Li+ZjwmZLA/CCtfRTIoQrqOIQ9rZp42AFuJ5KtpZvE98x0YX6fM3\nzUQJ8exCYPAOZT0iQrAe5QLE547YiOecz9f2VUecUnExpN954YFK9SgILuDHkdE6rHMI61AhpV6D\nT98vY0RLiSlyvJZYJXGHXet1WlocjiuTgkIIckg8sF9Tm/I+RUjjmK6xMgmQVJYFtVaHVJ1OvNlG\nI7Q6iDNEnE3OUHQ9smuwbcXYNKgiIy8y+n7Ejg6tRYr6pSAzmlDkZJnBmrQBzPMMo3NEFDQHgEue\nGeazKSEE2qY/IE4TzeA1sGUYEthKH1p+sixPtfJ0w2BMogb12hCkuHGCo7WM1mKHBt9tED45ViUV\nxJDScjFJvkmdpA6LsoIYmRpQh77oEDxD3dB4h80kLCdIAUoK3OjpRsswDHiXWNoQMm0KnUNahbWJ\nY1sbiYypdh85iK8ftHWRKWPinSNIRZDcbPOijMgo8DF1bIX4yxdaefiklC/eBL+f5mXB8w3xjUUO\nddFf39yXxzx8VwjxJir98rZDwA1gEP/V118cM733ORDr972FUQckvUJiXdpsw/OA5Zp//uvMhbQZ\nkQexmOuI/sXLfV0LD94fqHHTmtV0Lbu25cnlMx6cPWa3WVNvNpyvt6y3e4bBoVXGbDbnzulthLRc\nrHfU7RmffVpz9uQT8myJMSXO7yjL1FI5jD0+WPqhZzqdcnpywna7w42OfV2z2e6wziKFSKI7QpJP\n5syOTzm6+wZ3bt1LLZvVzxhGR+Ngj+HeZMXq9hsUmaLIJE8efMSjT35B6NNarYRK0XUckOLl99yr\nQ01LqKaS+UwxmWiUEmy3A/v9wG430vfw5huWthnwvkdnPeAZB0kMDrKayIAPe4Q0hKgQaEJokbJg\nOp+jVUYMBcQeowUiavxgGfZnNO6S1mrmx3dZHN9LqdQXbJJJVoVCCEVrFb0XNw+JlhJBxDrLGD2Z\nzsm0wV2nVYIjeEsUiigUUiqUNjeOMLEXZUnRSGuygyzhzW5TaYgeawc6VRFiRicMNtOpp9d9+0Uk\nxFSfIyQQkckOkn8H4g0BKO/RfSK1wBj8YLHeo4WgLFL6MwwWFSOZUgStbuTeXrRIApx5CblRuNxg\nATta/EF44+X3g0SrDK2yg8qQRCmD0TnxG9ie/GFz0zQdQgjqpkkasUri3MgwdDgnGdruRkrtemwp\nFcGlnsVhGGm7nrquUVKyOlpQDh1V37HZNbjgvwLAsaNju9kzRti1He3oyEdHZn1y1lWStRTAsjS8\neVRSdwOPf/6YzbZDIpDRY7sG27c3UakfB4Ib0CoiMoUUgXjIaozOfQWBnGWa2bSgiAPihTYJ5x3B\nJ/BJCPEmKzN6d0DKmkPEq1KGRqqb6xSFxksFRGQYXrjQCksSFBHBfoVU4uss1S+fv++a+/13aUpE\nlIypjvctIvff+LtEvIler7/zespCgBYRed3RAfiQ3vOy436+qf7iWL8Pk0HgYkjH+8KJizEyuMjw\ny9L4MaXCgk9OWcqAEpHrwFge1rkQHOuLp2w2F7QB+iiZlRNm1YRJUbGcLjn/7HM+/MmPabdrYvA3\n61eWGbLcJC4KeYxSK27fep3ZZEXbjrRNT91A22uKSYlSJc2BnlJIjTE5TdOz3m6pmxpre5SOVKWh\nyCHg6MYR2fWopqGod4RxJIpAUeQonTbPttvRrR+xR+AQRC9Z3fs+y77B9zVlbjBGE2PJZHr80lP2\nyhyx0pKqkszmirI0xAB1vefxkz1NDeNo2GxGmqbD+R6lE5rWjklBSenxUFeNSDkhxhUIRYg9Qkqm\n04yynOMGjbN5ijSAMFqG+oJ97dnUySlOFkcozA1oAcDkilVhDrUceXgQDmTjUiJiYPCWwQ1IITHa\npFSSdzg34NyAUhla56kmpDTyUE9LTiZL6U2lMFKl6PrGEStEDDhviR5sNAzC4IxGh4gSX7OdftGE\nOMQ4z3fgwvskdXiI/EKMyDEt5sIFVPDEwoDWeCFSnVUIijxDeE9/qAPnShKkpBeCL2cakyOOWCkY\ntUyO+EDJ6ZUGnaKvrz/kBEzR2iTkp0jC61pnuJc54lSsSqhz5wl9T/CefhgS0jsovLdYO2AtDH3/\nBUesdUq3+ujxLmD/f+berMeyLLvv++3xDHeKKceamk1RFEXRskHABqwHGQb84gc/+dP6yQYM2IJg\nCLRItsTuZndNmRkZ4x3OtEc/7HMjI6syq6ubpMqrUMiMyLjnnjj3nL32Wus/uMA4jBy6juVyyWa5\npBoUtcxoLQtGgPzeghhCYNodGMKsC+5CES/xiVZJbFOhTZkBbxrDZ6cNv3y94+23dxximTGLnPBj\nT5iGeRFLRD+Rg0Mr0EahckE251zaZ0Lw4CtNzlijaFuLnSIIP+MRyiZlCoHJu2LdlzM+lWQugCwh\nSlU2YeiiPU2pzpMoHHGZJkRy8z0lSMIQKOetkocfgblOvM8ISFKSpPnYj/+B8fjeyiBB5ZKIfZLv\nPd8//Nof+rkPRxYgVBnhQKGEh0eJVpIRinfPJeXf/IdQyrJIvR5pmIVeLn5n5+EfPWLZOBiZMfNp\nZsD5hP+BTr6WuYAI53sNwKr0MJqQQpB0JLiBt5df883Xv+Y+KQ5o/tknn3PSttTasmrXTF3P17/6\nFSJHzs5OMNaWGa612ErTNgpbnbJcNvzxz/8lJ+sLLt+85vLyLSFExgnquiCYh3GiG0a0tlTGceh6\ntrsDw9gVv3OraBqNMYkYA4ObyEOP6g+0Q4sIAUTCVgYlBTlGXHdPdzOx87D1mScXL3j27DNM6JHD\nLcSyKVba0i7OPn7N/lE+sD8gjDKlUpSKpm4xSnN2Foo8Y5UYeon3O169/hV3d28ZhwltElUt0CYX\na6spFLeMRct6dYa1S5wfEWSU7FHKIaxHqXLclARRnBPVCbZJrGVitTxhWS/IUhFSJqVASgEXJdvJ\nzhVxxqVHM+JZIi0+nivlTEwB76ey+9UVACE4gpJErwix+FqmnJFSk7LAze3rx2CtYptYsaxalJX4\n6LDyw4udkhIlFTmnefc5ozYzD1xiAFIiDxNJ9yQtiarYqxlrSCHSh1Ty2qNj+xDohwERE35yeB8I\nLiB0qYpVDA9iAlBea7NAJx6Qzf+kYSypXSHrBmsMTduwWi44dB3DNCJlcamqbI3SEpUynVKE7InB\n43yp8kLwxFToTWFuPStZEI4iOOyPKKVSLh0G78PvBCUt24rnZxvC4DlM7zjTVinWTUVvbKlefWAV\nAksiFyaTWskXa4s/bzm9uOD07IyFStixo+t7DoeR3ejYh8j4O+g4x/s4ZshpIB+JZwKiyDhR6H8x\nC0QOiByRyqCUKUkmjJADIceHccmPD0EWE/kHWnW/dwiBkkWkJ0ZHig502VimXMCKKQVSdA/I3IeX\nSoWUBinLcphz8RJP6eMCDN+NKDJBPE6e71fhQkAM7ypiEGRZgfi+qFDMhcd4HFcl3ldz+y8ZOZfz\nyXHukvC7RxHHjUOx2Sm/hU+SSETmwDQcuHz9DZevvubbb37D26s3VOs1zfqE1zkydh0uw5QSJ0+e\n8Jf//b9FiExT1/ixo7+/wcgipuOD57DfczjcE2OmbdbstgOH/cDoOkLsubo+4H0pAlaLhmnq+erb\ne4ZhQs7UwpRFyT17VzBHyVHFSNVCc2p5svwcqxf8wtZ4N+F2dwyXr7jeV6Tbir07cHAdYf85Ythh\nSIgwkEIoPspVQxAfZ6D8dIlYm9ntRdJUDW3TME6OlDxWJ/Y64f2WV29+xe3dHcMwstQCW0mUKjfC\nOAXuboeyDohTTHWGnnaQO5Tq0MqDOnLlAiEKknhCkhtsDbaG1WLDol4SEUwx4sNESnFOxBohFNN3\nNEnLzDO912qDAn8PYUTrGmOqWRZxJPjC7Q3BF1QeAiHUwxzXpfg+J1jIkojrBqUFXnw8ER/b2zEl\nUi4AFG10aT0L8VCr5DkRZyGItSXYUv1Ya3DAmBJWCB7XKCEEumFAhkSaHNmVpKGUxFqDJiPj+4nY\nZBBJYP4LLBzZWDC2JGJrWSxaTs82IODm7n6usm0h11caGRNaa8a52+B9AU/EEB7mekf6UpktRqzI\nLH4EpSPnPM+BwwdBOo9j2dQ8P6/Y33e89oeH71tdErFQhpgyyQVWKXAhI6dGIOZErC8WPPn0gvNn\nzxjubhjuron9wP4wsh9DScQ5fY+T/jjSDD4kJeD9hPOx9KOlBVER04QPA/kfNGcNwPQ7f+rHhhAC\nzAKpLCl5vO+B4uN8nGumFAhheJDCPYaUBmMl75bDTIwTIXycbvIPP1+JMQptvp+IU/4Jqt+PRKZU\n9r/PQP+7539M3iILZIrst/f8p7/5K/7mr/8Dby4v2e22fP75J3z66UtedR3fXN9SzWCpzZMLnr/4\nbAZ8CbZvX3H15S8J4wGjdXFj2h/oxy3321u0qvCuIkaNsRNCjlzfTFxdTbx4/oTnzy54fXnPt6+/\nRStLXS2K9Gco3HvnI8f7cplGThaeOqx4umxolk9pqorg50T8VnFtDDut6ae3DO4tubtFTwNGH61j\nI26KLE6fUp8+/eg1+8kS8dlZw8mmojKWfpiYnCNnyWqxIccBqSaWS0nbCIYmUdWeqjbUtQGKY8yy\nbaheLlgsTtAy0R/uuLr6hkxHVS2oKk3X9wwzh5ikWbX3qLyjXj6lWT2jWmzwsyyjf4DFZ0IYGbux\ntAmPixaA1EjTwrGtlo/AqvhQIZcHvlAJfsxcSqSMchE5eaLzTN7RTwP9NLA8ApZ+ABzxOKSUaG3I\nOT1QrLQs/FQ1f62UQpjSSk8xYjLoBGKmQ2VZnIeklo8UAR69h9HY1aIA1nxAOF8sBmfRj0QBkDnn\nyZNHTx5ZCVAKbRTGqMLvfaSglfIsAhEcKcdH3y/zqN4H/Hc2PpVIVCLiNIxWU1fl/6oqYCxrLKtl\nRV0pnHekEDhft5xUCrFcIHRVNmgcz2NGq3uPmYFciohI7/yrtZI0taGuTAEajhOH6ZrD6EjeI3Nm\nd32D8A61qrDV9z+3WgtOa1gSsH3PlEbeSsd+2xH2O1S7pJrn7NK/A8IdQ0nBZtnw4skJg82MNTgf\nOXQDn7USmzUb4Xjz5S8Q3SVrLXke7/hXn5wiFxvWbTOjYjVyHkM8oGKZuyxCEGZeaukSxRm8VRap\n71aVx++VDU3p+HwXAPlPGTlTxHwofxbUsQffP9zDKYWPnncM47sEnfP3kvU//vlmYnS/l4jIP0VI\noZGqrKnx2EaVR0W8I5rePVwPgUAqg5SGlMp6KaVGKcPHknXOhSXi3MAwFMOTfhxRUrFeraispW3a\nMj4ME3LYsd/dcuU8z158zurTn+PHnt3tFbeXr7i5ucJPA0pLvBvYHQIxGqxpSUJz6AamKfLkyZrV\ncs393Q0wstvvSKlc82dPnqF1kaAM3jOOLYtFw/n5eeH89j1CCZana7I55Ve/+jXWXPLp51/wP/8v\n/yuX11fc3N1RmWLz+snPPmFzsUHljAyJ/aHnfnugXZ1y9snnhARf/+bXH/0cfrJEfH5e9I1zFhyG\nHd47Fs2a1WJTTswEVgtJ20i6JlM3nrrRNLV+QNwuFw2Liw2VOUHLzN3ulrfXX5Jyx8X55yzjit3h\nwP12Cxm0Mni3Recdy+UXnDz/Ap/BpfxQIR0f1BhGBn9ARPfeoyKNnRtqAAAgAElEQVR1jRAKYWcL\nQiCkTI7hoUI+Llw/ds4kUkb5gBx9kXH0jsGN9K5nuVyU1qr6cfKAJRHrB76znGetVutZGGB2GLIW\nnJsTcUanTMiz9rGSeKNRShXd6u++h9aY1RKUQO0PCEDLIlLggiemWNqzzqMmjxp9AajZ4nDSNlXR\nQX4E+MgpEaIjBEd+LAaRYQyRzkf8dyrNSkTW0jPoTK4MVWVorKa2GmstTV2xWtYYLen6iRQ95+uG\nSizY25ZeGnJ49BnleQPhi56sNhUqOcjvakSlFXVtqSqLEDBOE7vdHfth4mhtubu6Yby7Z/35U06f\nnnzv+tUaKiVYEjBdzzRE3oae4dATdluU1g+JWEXxPbk1KSXrRUnEYy2YFopDP3J7t8WYhqfVkpV0\nvPnqF1S7JaeLiueh5y8+PSWun7Fe1CghqW2FlJI0Du8+i3njZqWEGImUDWUIEzDO94+ZsQ/vJ9pi\n8+kKjkKLH0TW/uNHSSQx+YfHLkVPio9ULD4yI845EkICMf3gz/3jn68jPtrk/RShVIWRxQ4zhhHI\nCCNRD0Kuae4OzAI3CDQLpDTE6Ai+R+tm3nh9JBGnSAgj/bDn+u6Oq9tbumlCKcVmXdb7utblvf2E\nCBO7tzdcvr2mVhWff/EnDOPA3auvuL58xc3tDZMrn1XZ8Ee0MizbhpQk++6Wruu4eHLOavkMaydy\nvmW337Hd3/DsyTNePHuBnvEy3gemyfPi2TP+9E//BK01b6/f0rlAbtaMPvDLv/sVMmX+u3/zP/Bv\n/u3/xP/2f/zvfPXv/h3ntmG5WvPP/8Vf8i/+9V9y/e2veP2bv+H2tljQPl+cc/Hpz7l+e8lXf//L\nj34OP1kiXrcnkAOj64GEMQIhAymPhDgyuRHBFu8dkDg9OUfpYtwshaKpqtncPBLSnslPdOMB53u8\nn3hzec84+tJCyxmtJMYqIpqD08ghkbuBaewY+x3aWmxd048ju/0eP9zBcI0RjrqWZCLDOCL0kvPn\n/5LFiSXngqIdnSNNoaClP9CWjNExhXLTTKHA+iscAomPmc45nAAqg9WSpqpIWdCNnvvDgXEYmfoD\n2gdkSh9cI45IRHJiHLsiaxiPu9h51jPzFPM4FZu+WPSAY8oEKUrr1gV0imidsVXh9iIc02Ekz0II\n2mikko+StHhvviwQGKup2gaJQMSMzhE5drRLy5PNkm4s9LRjLBYtn11coNol/fWWYX/g/KTi/EnN\ncKW5IRPnSj3NC/ymrvisbXibIv3lJYZE21i6cUR2A64f2QpBW1tsSvhp5Op+T4qR5dkZy8WiALuG\nAZwrdLdZ13qMcD9MmEazrN8llCPlysuxVOQpsbaS1i5YNjVCSW5Hjyez2axYNw0vzzeInNlYjb/v\nEI1F1RYZPHLosEaylhXnT045v7hArpa064rWJFpTszRLNqsKpOB5fYK4P+Cait++uUFGj4yS+sVn\nfHb2EpGLBGhan5BWa0K14Eo32MZycpZguUAq8GFicgVEGGcxlmMlDOBSehiXSKnKbPjIK06BEARS\nqu8twHke26TkP1h9fu++nY9RukfvFKp+bBQanpqZCHmeBZdzfDh2/Icf+7i5Ph7zu1F+5/BIFKX4\nh/9wVyD/0+f73xE5BWIY5/ZxKJvRMBZmCsd5+Tsf90zpOATKRqeg4T2E4WGm/XBsocmyIueCyNdK\nsmgb8tkpNjxnUyXu7nbs9wdiAjcFJnfAuY7uMBC84+7qDb/9xV/hx45uf8cwdHRdhw8eYwzGSBZt\njdEapSQxRJSK2CoQ44Guv8X5PSk7KmupqgVtsyjcfRnJ2bNeL1kuXtA2LYfDgWa55sVnf0qSmv2w\n5/rqkuQn+nHi/rCj3d9zf3NFd3PF5otP+dO/+K+xyzWv3r7l+vItl5c3bHfFAMIFTzf1CJU5PVnx\n+ps3H/wcfrJEvGpO2Y+XDOOBqirKRUKU9rBzA+M4Mk0Tgi2nJxecnz5hcgP9uC/zwHqFlImYRybf\nMU6RbhgIcWCcAq9eb9nejyzXsFiWeUxVGSKWvbOEPjBu94zbS4b716xPLzh5+pJ91/H169d096/I\n3StaO3J6Ysg4rm9vkeYE1ZxRr56WdljODM4xuRkc84GHfRAJIdyD4ozVAikKt3ZwicM4MUlBbix1\nKqCEjKQbA7BDExgPB4wLHwXGPLSGc2IYDiXpxvAgsZhnMFFOiSiPPMqZ35szQkKdEs2UMClgVKau\nNIu2KehOKUlCYozG6EL0jx9ZRIrFpWWxWJTTDQntJ+QwspQnPDtdcXsYub3vHl6zXC44//xzms2O\nb//uS+LY8/Ss4sWzlrdf6oKO1hLPu0R80tR8cdYSLm95/eoaLTLLkxX7bkDsO8bRcbM7EJctZ2dL\nsvO8en3FYZj4Mym5sBI5joR+IE8TU/DYYSRLSX8YGMUtzZMNF8/e2WfGGBkGR5MDtQw0WqGalmqx\n5NnZCbap+HKYuPeR02XDaWOBzGpRc2LA3x2QeYGsDCJ4RH+gWTacGs2TF09pXzxHVoYwDQiZqNsF\nzWrF4nSDaBf4TzJqP3Lz61/z+qsvWVUVy7qm+vRzPv/kU5bjgeXhnp2quTZLBr3gjWrZ6J5PVMY2\nDXuZcL4svkrqgoU+jjCkxMWIS+/UWEpCUcQ4zajtRM4TYGaq2fvdmjyrH3182vwuSmWt5qp0+lHJ\n+/17Tc7AyHfnUDYKhbXwDz22UnPXYD6mnilv323Dlq6BI89jlbJB+X7X4P9vUTZApdrNMwslxpEY\n399cvYtMTAXLU9rquSTkD7Tys2xIuoasELn4nm9WK5aV5rxN7FeaX//6S3a7QxET8pn94Y7d/jXO\nW3K23L19zXTYYrREK8E0DcUYJhZg6nJpuTizWKPZ7xPTFDA6gYiEuGV/iIzTlpgcTb3m7PScpqln\ntoEn5wObzRk/+/wLxtHzzbffshEVP/uzP2WxXPH6q79huH2DSJFxGLi6uyHWDVevv6W7esPJ5oQ/\n/2/+W7589TW//vLvuf3mK25fvaXvOkJMeO/Y9zuMSjx9ds7f/vWHq+KfLBFPfsIHDwIqW7FoW7Q0\n5ChwY6IfpqK1quRcLUe0ltRVO4t8HNBaYqzEmhqjE8GnmV/poRgCkjHkJGaLrIQQ1whZ4cSB3r0B\n14Mvuy0f3zBNkTY7Ijv2/paD78hopMxE71CmVOXDNJP2c/n6u8Ct92K+wY8RIoyukNh9yOSUECEW\njrCQ5Bi4e/uKr3751ygBOThuL99gpUTKoiN9XAe0lGg5o6SPYgBJEFPG51mWcta2TanIHeKKXCZ8\nh/CRj+3pRBQw9hP7fA8uEEN4oFjFlIoF41F7e5aO1FqTrUbKWRBgnBAxzqSXAgwyMbAMDmkl08UG\nW5eHKE4Tw/U1dAOfniw4U+fUKeN3HSujeXmxoeoG7oeRdm4pqZn+tawt58sa6Sauv3mF0xVPXz5n\n6HrizQ15GlD2FGMt0lriYWS774sXqa0Q7YJFdc+FEZy/fMn5z35Od/WW7uoNdrnBvvwjrDeYr68x\nKRbObm14ag2rRYM8OYO6JcayqRqcp/eRN3ee8TZzGCdG5/jki2ecffGM6EbcYSD2I8SIyBklBFab\n0oFYLhjSikx+qFLT7IJVR8GZyshFRX22wQqwAsxwQL99jSGg84QdJxq/R5mGWC9phUfGPdlISGEW\nYpnIc7KU872kpMR/QKwCChgxvpegQar5HlSC0kN/R5v7MVFGOG5OCIkQEyGWsYpShZoVEg8SkkKA\nVsU4ZD4CMb5LAjmD857Jh3If+owQCUnh+Iej3KkS/C7Bp5wTQgRCmFXHZvWxENwH5UFL5cx71Xfp\nEMQf3AS8q+h/OLRSVLboD8SU3hvh/NiQs9FLAbB+XPquYEkKpuR9h6cfH1lKskxMY8fh/pLhcIv3\nnmkc2B/u6bs90a548klFf/2G/vqSPHlyMjT1grVdFgqjKiI0+6EI7Fycn+JDmFvKI4duRGtB1ynG\nMZGyxZo1i/aUk/WaEEpHp6lq6rqAE/shU9eSut4QQuLt1bccupHLq2ucqLi6v2FMnvvtPdPkWKxP\nyNWC5D37t2/IbqCpil5/7wMxOEyaSL7YqgqpOD1ZY1XgcP0bFAI39h+9Vj9ZIt71e2J2yJm+tFmd\nUKsVMhvGKXAYuuKOU80thzSglGWhV+wPe+63N1RVzdnJBe2ioaoUORtev9kjxYC2AVuXeWjKiXFw\nRYEqS6TsEKNG3GnaumFRN3S7ieurgdZuOG+fYqqBnj39tMN5UdSS7IKmWhGzpp/e3Zi/r5h9TJmx\nYMLIZETKxRZwCgij8X7i6tVvmVJP8AE3Tly9flUkQY3G2Hcf21HvOoSE90WLWqMJSBKBLPKDxrL3\ngRQi0pek/93IlC2MF8UNKk0D8b5HZ4EW70y0QwiMh46QEiImqlmpSluDtKrwnUMi7zu+q0Jggqcd\nO9rFEvv8jKR1QT8eDnT3W0KMfH7aIjYN3iUOb7astOaPnp+xvN2zpFRuj2PRVjx/suFm1/PNb76i\n/vQzXv7Fv2La7nh7f1Mqz0WLtpZ2taTbD9ztB4YIJ8+fsdisWTU32Erz4uc/5+W/+R9581f/D6/3\n97RnT6n/6M+pJkXV/D3Wj7RNxemq5tNG8fR8w+KTF/RS84vfvObNzT23MXPvI7t+QPYj01RMJf78\nT/+IZ//Vn3P/97+l/8+/JHTjBxfTVDX4dlPagP2O5EemQwf9gMlwkjOrpSXYZ4ShI/Qd4e4S/81X\nxGWNWzfQO+r7nqa26JM1xkgg4lQRlokxMfqRx46YZbwgygb2A7f09zs+JVEZLWlsSca/b/v3MZ6i\ncN4zo0soKahF4f6OriRQAKUEjRAcx88lOfr3wFWTi+X5FB5BoDKC2hat7NGlB8UnqX4XEvjxsb+L\n/3g/pCyc92Pn4OEI89z88Wbh/RBobX9UIjZas24XGFVMTcpc/4f4z9//N3v0Go8FlJgens/3X6dk\nsU5VSjI5/whY+fu8nyiV6WHH7vprri6/pjsc2O473mx7xqT4kz/+57z8+VPednvG3T1KgBRr1ssT\nNqebYs0o4Pr6lqvrjqapefniGc57Xr++pO+3+DAgRCb4lhQrtK6oqzWb5XOePzmjbRacniyY3IRz\nE8MQGEaFsRsWi1OmqePXV3/L/jCxPyQmUbP+9jesdit2b94w9I7l+VMWSiOmgeHtG3TyrFcLQgpc\n3dwSp4GVgWuR8MGzaBueXJyBcBze/ooUwQ0f/4x/OmUttUJLU9DJY+Qu71g3isos5sH7GmMU1moO\nXc+h22FnTmiMATsDTfqhnx/GBTEKrJE0raSpNdaq+UFILOt1AT2ZRIw9bsh4B2Nt6GvLODgO/cjF\nxrOyNTkNeB8YxwAE6ipRmwUxOO6uvmK/H6mqYpXXNGuquiTogCbG+FHxdTi2vMpMK8ZE8J4cEmJG\nMU/jxO31DYfoyNKQUAwpkSvDRGaKYTYqyFRK05gCdAgpEmOpPKXRLE7WRd7SB6YQcDkR5ez+oovO\nsJRibmuX2a/WBjEOTGOPCZE2FnGBnGZxCOcIQdDLsuNtK4OpC2faiYJw9qnwU1MW1HVFU1eYXkMv\nQGtUSvQhcJ0c28PAMIyMzjPFgDGG8/UKqzWH/YEQE6dPzrk4f0oUr4nTI+CUKp2B1mguFg0IRZaW\narXg1Ch8WyGfnIHIrK0BpfjjdcMTvyYojahrVsuGtrE8OV1COKGpBHbcshaO2Cpad8C/+hK9u+aJ\nySgJLR6bNbUuFC7f90wZmHrqOHGawORScYYwUs2iHGYa6a9vcLs9cfIoAXVlsLY47OQYCG6EoSsK\nESnh7u/IbkRajVCSNAVyjEhb8ATZFc1tugEORcZvSgEhJO08izZGkFLA9wOOHdPplkm2jEEyzXrs\nmYzRFqN/t8hG6azE2ZRjVt4Smd9D8O2jEROz0QH4OFs4xvdVuVxIgETJgo0IsXSkjpVycX/KpSJW\nJVk7X5Spio1jOXZ8qLIFWvKgiVyEUPJ7xzxG/k53693300NV/9hQ492c+V1VLWVRjjv+/HePJ6RC\nCk1h4sYigCslVh8Fhgpt8Q/Bwh1b5YLi9iXkhzdOD3aX+fhef6iXdMYNHW9efcurr39b1reQCVFg\n6gUnJ2e8ePGSePmU4eoJQluUsjx9csGzi4vCIBkH9PKMs2dfIHJAy4gLEdOecL+95vrq13TdDi0T\nShUpVaXyrKNuAENOhT46TaCUZbVsMNoyjZGuK2Oyvnc4J9nf3/HNb37JcrlEDD0iJoSaiN6xvbpi\ne33NfrcjxMibb7/ir//D/1U6q67n7ZvX7PdbtIIUIyE6ukOP9x7/A5OanywRV9UzKpMZ+ju226+5\nCm85P/FslqckBMt283AzHPYHvnm1paokq6VmtVyxWZ/h/cTusOXQDywGQYgRbQSrpaZpLFqXlkYK\niYsnT3lx/pK7/i33/RXjmNnvMkLukHJimgRjLxGp4eRkR+8d4wTTAFn4B2rONB7YXf81ISpOTlrO\nTjc0T/6YRfM5Ay0ha2IMOPdxjqTWZX4EGe9dodakYtUXQiQME8P9FoKn2pxjlgucrYi1YRhHhnEk\nhEQMidO6xqi2qNiEQB8CfU4sNys+f3ZOozXX316y33d4LclGs2gstq3R2swz34KqbpoFbduibm4Y\nLy9pYuRMSqIL7AbHGDzBRSYSgwRZVyyWC0zTMM7n1Q8jo/csqopUNyxWLavzU+S2Kr1MW5OF5G50\n/Odh5Mu7PW/f3jBNDm01q+WC508iC2sZ7ncYKdl88UecfPEZ/ejp7rcP19FajUDQaI2REtuuWD2v\nyHWDcQNZZJafvni45ipFXmwaci0Z6hZXNShrMFJQn6+wVeYuHrj/9f9Lvb/hRSvw96/o/uoSPQy8\n0BNCZUwY0A5EsozDwK7vOYSImBznKnIiwclEbxNjLNZoi6aiPdxz+Vd/Q5wmcowYo1guLM1MhYox\n4PoOSUTLe+LkGe+2jD5gNwuk1fhtRxgcdrNAL2um7Y7pbk+Opc0YR0fykeb8lPb5BbquEEox7XaM\nhztGf894csMoKkZqxiyZZleb1WL9oxJxQaoW1Ku1gpgEo0v/KOYERgkqU1qnUyheyY87TilnnC+b\nwsYIhBa4kHE+UVuJsuK9Y9VWlirbJ7R8d2wX3iViLQXCSuSjKnvyGR8TjZXvJeKPxQPyen798Voc\nVdxKAnQz4MuglJ51Br6/Oktp0LpBEZHJzY5qBqXUvOlIP4oW+aGIKZFnPMsPdfJyKutJ0dr/hyHK\n+mHgm29e8dWX37BaLKkXS1arJcuzJzx/csHziwvGzz6ln+5pdMPSNHz69AWfPnvBze6O19dvebHc\n8NmTF2xv3vDbX/1HXIJP/+Qzrm+v2f/f99zd7NGtxhiNVhNSlE7EMAX2h8D9fWRyMDnF6emC87Mz\nptGx3x3YH3r6DpyX5Czo9zu+/dXfsVwsOF2vaeuasBvph55X377m8vK66LXHwG9//Qturr5Czv+N\nY8cwdGgF++WClBKHAzg/4XwHVB+8Rj9ZIo40SCVQsi9OGUNHU++xVpfdaEy4PpQ201BmMinHIiEY\nG7QC52DoS6soxh1aSFosurYs10tUpdh3Rcx7nDw393u2/cB+8IBluTAMo6MfBoYehl5hbrfY+mjC\nELFWEZNEK0NrG6qqwo17htiBT4TBEKee5EakrrBaILJCoiEFSAGhNEJVs4CJQJKRYubMxgkZRsQM\n8kgpk4mkfiKnDFhyEMRhhFTsDmUCERM5RmIo/+dUNGwkApUFImWyj8WwIs6G8DGRZCR6j59k+X6M\nYBIyZbyccEISnJ/5o5n0WNJxLgZELjeOjGW2nXwoM0wfi1ymj6ASKQT85Jn64mKklS660aJQtiQZ\nI6A2CistbVPTNnXRtg6BxmgW1mCjh8MWNfXY7AlZEpDz9SnzVaUUkwBSLK3avnv/fpsGdAzUbkCm\nhAoTWoJOrihvBldm41NPzBkbBoyG3PWM3QAIamMgp9mSMh5LJ/AeEQI6JeriAkJDQZ07YanapiDI\nU2S4u39o4B1V0EplL0je4/ddQa03DQoIpjwPYZxI48g4OLxPmLFwt4PL+KxQyxV60VJVlsZa2qfP\naZ9/gqqKvOu0vUM3G2yGZmEZxMgQPF2EfYxMQiGPoiaxVGoFIfz9sus4Kz2ahhT1pR+3WCtZ2sox\n8UFchRCgUqlo43cq4fLes+kK4GThn/uQCCkXK01f2tjHujXlPK8nc2v70az5WAHL79Dlj68LsSRs\nQSo/kPPDn1KWGbYUx+q2aLoXVT9BaWsHime3QWhDCKIkYlUhlUUrXYBOMFOvMjFBlRVS2nJ/qnJ/\nSFUQ2N+1JPz4dS5rTUzf8YbO+Ud9Vhkenq/fN3LmQVFLzKDUFBMxFJc37R0mBkyO5BiYnGfXD1zv\nDyzOWy5O1jx/+pRPP/mcerkB29LYCrtcIQ93MANTVVVhqgZtW4xuMKYwaXJyeB8Zxi3dIIjRo7XA\n+YJs975nnNRsNjSzXXIBFwpR1BDd/UAYBzSQkwN6oh+wJrFctgUwNkSmoSeHgapqqW3z4GCXhEZW\nLavFmovnFfv7S7757X/66DX7yRJxF6F6bzyWiMnhY8fkAtMUuL0buLsbaRrJ+XkzE8gdKQdCGnA+\nMk2SEAKZexa6Yp2WbJoNp6dn6KXieveG2901r6/f8ne710B5AF+8aHnx4oSra8f49p6YAi4Erm8j\nh75jva45PampGoWbKhZNy2Z5wmqxomk0g3PkuEDkNcEpxt6hV4m2VmQrSEkjQg9+QtkWWW8w2mKV\nIvoeN9wyhg6ZJqo8oh6JWIici5BDGsnuBne/JXuPDo42QiUNTglcotgg+rJz1UrRyuLZq2NmuLpj\nEoI0eSqpIEXi6It7UT9y9EWtjGHSmk4plFLsvGfwU2nlZYGchR2kEBilip+wKKAwDgO+d5AiJiZk\nEjTSoGJGDp4x3HO97VgZxUq/u92WRvGJNCyNxm0WGCVZNw0A234kpcz55pR1bdGHW4b7N6TbO/R4\nYEyaLmtcLcm8UyYauo6bfcf0EYnJoo08C9KrYuXYNFX5/fueaRhhfQK2+d5rkzJE2yBSQE/vFJeM\nlKyNwUjJvXPv3HOEpLYWYwypbvF1SxQ/vLAlF3C7DiEU9eoE07ak5ZrQDww3N0z7nkFXjFWDzAox\nQZaW1Gqaly9Rn7xkdXbCs9M11ckLzOYTxCy1Gvs7/PZbfH+Pn4rFY7/bsQuBK1Gxky1KHtH1gRAc\nxlRY+33lpz80hACrS1U6+kR0378WMWbGnB4YCR+LPFfGXpSkXUCTc/KeX3ZsPz9sFuZjayUKc2FO\nxIW69f2q9/ExvxuVKZWyVAqlLJMPTD4gSFRGImUizG4+tmqwpiIEVfj1siIrixY1kkA/dnRDx+gT\nkzuC1UBXFqktcgZN/fjrPGvWG1XUov4AoNU/JBJFQ1uS0XKeba9WrJZLIOHdAAfBpA13tzdIU/Pr\n33zJL/72P/Ev/kzw6ZMLLtqKp6en1PWCqt5wc3/NV5evuL96XcZjKXN7d8VuvyujzOWG2tYoKRi9\nxvmRQ3eDMncYtWJzsgIRcW6g7zv68Q2V3dDYU4zNKDOQKOjxFBQhWIZBsd3tiKmjqvdYm3j58inP\nn73km2/e8PryLdYojNVs1mtO1ivu7rd4H7HNmubsGT/72T/j55//nDd//0v2r694ze0Hr9lPloiF\naSnK4AO2WdLkBVIYnMv0vefQjWy3HffbHilbFq0hRcE0ZSqb8R5CgBgkKUkKwEBhjaFuLE1ToWqF\n6ooPcCKSRCAFSfYS7zNpnkEBVJVGCsM4eba7DpkTp3WFqiTMqE0fEjEKtGqwWrHtAtO0papaVosF\nMrYYpnlGlZAEtEroSmHbBmNqjJQMh55+2DPsbum6iWG/JfhHxP5c+H0pZOL0fcK/okw+kBKZy7lJ\nMZuOUx6AHCPD4XFVmJGzRVuOkcfQkaQ04ZGbzyQgCvAZ+gx6nlEdrRNFLpV5jokQJyLiQTxEAghZ\nrm1wjM4xAnbZsly2D+9hpGQlFdpoaKviGa010UfEOJBIrGvNolIMt3cM2zu8K+AUmYslpEyl2juW\nmDkGkpuIR8s2VVyvpBCoGJEzcjXPtobMszqEwAlJJxRGFD9lnwUxSYK2yEZQ2RpRLwnTyOQDXYTt\nWD4bpRQxg8uCMct3FYzRaGPJ7QrRLEnJ06dQUOZGUy3XbNYnnNSW9WbJoq4RxmA3p7TPX2JWKwBC\n36MWr1C7LaZqqI0le0/2RTM7+Ui9WVGvltjlArNcoIwu7dJYOM3IhK4tVbRo16PiiEoDJM8gI14U\ncN/RWCLGiNYfW8CPiOCCWH7HnRXz/PM4a82PZqZyBl2mYtCRPpxYUoY0JyI1z3N/KASFFVCq80TK\nCSMlQr+r5HPOZJkeVKyUlNhjJ+LxseZnSM94iJwjLngmF5BSfqc7EMk5YKLAGIUPCR8KmKJcP4nR\nkqQkMQViVEVm9oiijoGsBEIqYsxMzjP5xORTuVaSudOXHjzPhTh2FCRaFfbEESuSOM7TIzGlAurU\n+mEtOmrS/5cK8WjDuVgs+fyLn5Nj4M2bb9jvt4gs8MPA/rBDNAtGX0YdOXhCv+f++hXfGklWLSpb\nwthxc3dDP4zIqqWWClVVuMqyXCxwh4YUSwc1BMgoJjcwDAHR1Firir0h0I17uqGHbMixmVvwZR2I\nIRDjDEyk0PRiEuTsZg8BCapsjkpnqDjLaq1p27Z0D4Vks15TVRUiZ2I/QAjU1Yfb0vATJuLF6gTZ\nWpKBVb6nMYGYFNOU6faO3S4yjeXDnMbM9r48wJOPKClYLmpC8OQ8olRFUy2oWgM249ueUVpwkt1h\nx9APXJyd8tnLJdfXPTe3A13v+frbe8ZpIKXMerVi2Z5wd9/x6s01cRC4K0GuMqNxhAiX8o5+lFjb\n4IPm1eU37Pc7FnXmxUWLCBViqgiTYxo9lREoW+gnVqkHiZs/dWgAACAASURBVMlpHLm9vub66g27\n/cTl5TXD+M40+uiYFH7APODoBPWh7/sYHqEh52P+wEwopkj2j+ZwAjRF7tIjyFJi5iT8+PziQ/U3\nA8BmPmmGB6/iYzz++4dicp6uGyF4TJgwShD8xDYGpn5gGiYmVRHqGjtNmDRSifgeTtNoTdvW6Pm9\ndN1QrTZUUtKMA3qex0WpGKsGb6si9ynA1QNuGJGz9u+UJFNSaGvQC0VTN7RNy3Z3YNeNXE8jbA/s\nJk1TW5LS3HrBgKHWlqqpEKslcrWmWZ3QLE9IfuLGjaxXC9arJesUMT5wbgQva8ViuUCtTlCrc8Ty\nGaJaluvpB9Y/vySNW+Kc9ON+S9hvGfcHxv0BpTPqcIdwB/Z3b5GqAlXRSdgS0SmwiQHrPTkUOc7o\nAxCRuUemTM7fVwH7oYgxzQtU+RSUUhhjH1Tgiv52QYxba5FSMIyeLnqkNij18WpbzbPi3zWfLTNY\ni5KaEMvMVav52OJ4nuFB8QtAK/3eeR5DClGSuBAoHdHac7/zTNM4n/+7852cpx88RgdsFcm5YEhi\njIyTw2jJqq3RKtKPB0YxzJsSYPbo9dqgpaabHP2UHqp3FzypT/TjNKOGxXzegtoImqpm0SwxwhR+\ncwz4mHAh0I0Tw+TKplhKmspSV5baWmrz+1XWf2hIUSrhY2t6c3LGX/zrv2S1XrP9P3e8ubxE64qU\nI/3Uo6Y9p+cntH/2zzFK8fbqLZfX35L/o+fi/FOePv0Zu8ExHHYgNO3pCxZty2q1YHd3zXD9mu7u\nitu7LX3fU1VlRJNiZBwEEo1EsmjOeHJWcbd7y+29ZL9PXN/cFTU5vSBHxTDsyal0FKpK0bTQNgXg\nFYJgHAaGMbDd7Rknh3NFoOlkvQIyJ5s1Z2en1G1LFUfe/Opv+erf/3tC6BDVx9FaP1kiTiGQ5IJs\nFwhVI2U9C4MnnIOu8wglWK+q2TgdYhQEL0mxQuQFWk5Y283m7C3SKJwc2IcBt8uQKaYFUnKyXvHk\n7ClS3BfXIwfbbURIhVYNtV3SNhtcqFhuFNqlYqMXIihFygYXJGNQCFXN4yKL1BptLdpWkBNx7Aij\nw48OSYM0LSpJVIhFLjMntoeOu20xuj4MkTGDXW1YP5u1qudk+l7ySrHMJY9fzolYicK1LrOqGVDm\nHSHO3rnHagWBmCuMlD6cxI+hj6+bq1w1c5WleCcakrwnz7NEgUBoXSrQuXIQISAeUTZMXaFnVawB\nidcFIKOEIqfiCZyVQydYSEVlFLFeE5VFmgq7uWBdN4jKoqYe7QZebFas1yukMmRhIES09/i58tBN\nQ7U6oZaSZuoxfkJkTxSCoW5wprihxJypekc9OlRyqOTZHjruDxZrS6Jd1FUBoGlJ20+Me8Eujrgp\n0EoFWnFIgglBCOB8xkSwKWMyhAx9yPQulx20EAilkUKSNQQFTh7R9ILgIkJEdKVRdYVUK1SQVAhk\njEQRCHhkDsTk0CTM1MP0vpXCXkRuREAhiFlRfcdMwAlmXO77m74jL/0x7UbMJi1yPs/H7IAieiEK\nRXD+urACIjEGUtIPaGQfEkZkHudBOc9sc37EGeZIqfp+Q1/ATEM63tfl73nmugsp0MpgtMa5kTEX\nLMnxt4+Jhwr58TmIXP48IsNLEi/nD8xiJrPBh3MEA4l3s/TSOcvkFJl0KO8xfR+4KZg3EMpwGEaG\nyT90FEIIOHf8WnDcURgl8PZox6mwOpbZcgy4WOwuu2GkH9+937KpCbGe14oyepJS/oCFw/zs53Lx\nfyhxp5SIOc2o6nfdAgEPlocAdV1c0Ya+o65bpBQsFg3r1YIcRg73N1Qyszg9wTuHc47b21fc3H3N\n7uktfnD0UbA/TJhmSVMvyVLhppEwjSghqCtDU1sKrqfGGENOkXFIxBBwrqeuKtpFyzAVxHRKI8Mw\nIqShripitJCrItmLxIiMFhEhJDFpYpD0vePQFcGplCKJiEgwuYlxnHjyZMWTiwt88HT9gatvXvPq\n779CV7B+vvrotfzJEvHN6684t18gVOJwGJnuOxaLmro+KmxNnJ80nJ+vCCETQ+awL+IcTbVg0ZwQ\nq56Yd+ScUFoQPPihqAY5twcRWS5Lm2DVbFjYDU9OwRjBzU3k5iahTY21S1Kq2G4VSV1w/vIzZNyj\nxktkTlT6hKrZsNm8pG3O0Ko4uvzRfFM9e/kp5vQFYRzp+6kk71x8hGNumSbBIfbEVMAK29t7Dv2I\nzxLRNrR2wdPlmtNHbeijdyxQlK9cj3TvZpM+RIIv8nNHOT+tDCknnJ9muHwkzVW1kAJjNFIJgo8E\n//EKNaSID+GhBVbUdIrIQrFYzEw+4IMnhCLreZTYrKuKylbl/B9V5SdKsFSCYC1vpUa3Bn1uQBa3\nFCs0tYFKZwy56DwvztHNCUYvsKZhWcOiygUsFQOtNbTWkvWKZDYkUbyUi3BDQEiJMhVKgIoRFQZk\n2EIaiUoT50wQE9wNkvsR2umG1t3yZnvHq+19aQcq+eATvamKt/D+rma32zEFT0RBlDjKe+/3A3nX\nsdhuaSvF0K4R7Zq+H+mGibC2iHVN8J5hclwZxXVjsZVFGEuqFvhqjV6vWT3d0CwtIk2lqkWxSILk\nJ6Jz3PuROxFZI1ln9dEF1pG5E5HvNiej0IyyJsoV+T1LvjIrfixEUVD2hfNqbUUIAe9LRWyMncUf\nSsIzxnxvES/Vq35oUz8OPVfAIWUmXz6T0SdEEB9MxEqUOa1QMDmHD26uOIuKnRCB1WJNXbdkn2ZL\nvDRfH4+U3+fgHpM5OTO5YkQzufdHQzGGwsRIH5bMLL+XhRzpRkc3fHzDK+WIEBIfyqZb64IpiDHi\nvUOpQic8zrKL/kAipIlhSsX+NKWHtSLO6nmPY/L+AWUtgNpWVNZ+VPEr50yaxw1S6f+PuTdptiy7\n8rx+uz3N7d973oRHSBEhpeRSVkGRxqAmGDAAzBiUYXyIGjHHDJgz4QMwADP4AAyYMSrDKEgsIcks\nMhNSGZJCCoUivH3N7U67Owb73Pe8DUUqlSiXWVj49ee+/d5zzt1rr7X+zVuqaa+GC55+HLDGUk73\n/10RQiD4zA6xRrHZLPnudz/g3r37PLvacf30CU4nnBbM6xmb1ZpxvOF6K9nt98TwKwYPx26kWG5A\nCLZXkeb6BcNhhxtaqqpitfwOQkDbOdqu53j0NO1IiAdS2qO1YzaHtjvQ9wNxcmMLIdH1PVIKqmqO\nDAk5OEQ/4ntFLxQhFXgvGIaAdw5EwJi7ezuMWev93sU9zs/OeXl1xdX1U55d3/CiOUIb2EUHvI0/\ngd8nWGv7kno9QxWStj0y9l1W0LKaiEPIwGJh+eDBmq539L3LaLgxUVhLaWuSSARKQvRIIXFDousi\nTZtPlFrDZlWzXMxy68pFrBEsV5ZhTPR9QsgCJSPOSfpBYRcLlqt7EAt8cwMhUqgZZbmkKmuKskKq\nEqk0FQGjJNJUtCHmA8OYUcYpCUQUSC+IwRFwBOcIbmC323KzO9B2LcFCUgZdVeiqyvrNIisd3T7W\nKSH6Aro7aolzATcGnB/xfkCIrB6TUsyi7d5gfE7EJ16jsdnIwY0O53wGsZByRStOQg4JGQIi6Fxt\na5XRkyEgpcCY/B6E9UinkeNI8CejeoUpC+w7ZiEzCbUEYTRNTFgiWsXsfZvACIG0Cm2zpITQFmUN\ntqyYLS+YzzesCsfyHe2dqNcIs6G0JaWx2VPYjZOMJyAESUhC6gleI8IRlSQqTVVMEpTWMCsVdeuo\nu44qdVTKknxER0EUiUF5KCKzShF7S+dqxn5gCBm1noTKtJsxu2ipziFlJFU9sTjSdwN923Pca3Zz\ngxsGuqalsYZjXaOVRKRIUBpvK8rzNfc+ecD8YoknoRGQNCRFIOFI7EVgLwJFEqepFp7MRRVSk/DY\nmOgJ9GTFrOACCIkua6Sd4ZgT1V0izlgLPWEC7jZsrRRG3+kne++mOa68BXWNYza/UJMuuTWKINOt\nRGE+2L0a+dmzRlJaOanUBfLUQwCSdHoPKQPtxFT1woRwjvEVDrPMCN3oKYpwW4WPPt3Si3K8/yAa\nY2Qc82H2dBDJ8/BcIeeR2LsTbJbczN0B74bcmYq59j4p08Vb5PPrIh93/1ae64o37DdjguhPrmXf\nzh3qhIB33hFikQ/3r+Aq3op0mu2n3wiYjulEpYrfuGRMkeAc3jmkFNRVxfnFPR48fMj+0HLZHemI\nDBIKbdFLQ4ySYQi0zY6bmzEXWc5TNi0uZlnN/ctnpLGnKiyzWa66jVFI2WSVOzTjKPJnDyNd39AP\nzXTAuhOJ0TofeJRSubviPLjMjnBjxAkxIe+ZfO3zDF7OS/xUkAgRiMmRyNKb4+jY7vbs24aBrLzl\ndpGi+B0l4sePH0vgvwV+SNa0++fkp/q/n17/P8B/8tlnn33zbQye4+WvQPYkd4XSjv3+iPcJ70aW\nS8VyXrGYr9DKo6VjHHZ0fYs2ASFTVtqqFsQ0IjA0ccxSjGjun99jtZqxWkfKInLodlzvrpE6IXWk\nLCs+/LBktwvs9pBiVsbRJOTYQnJIquy2Yw3WOGK4xnsw5XdwouLq5S9o908pZ4ZyXlLPP6Gef8wY\nRsYwUo89sxQZk6RJoFOkSp7Qbnnx7BmXV9dZASsklAuImAhWgVIUKbc0AUgJP/SE4W6OfKJ3nEQB\nQkyTx2x+UKQUt45L3odJ4GCiNEySdW6a4xqVJTBPc93bNt8EADmBtIxWJGumNmQk+UAcc4taGYVS\nGWw1qP7t+72qqdczShGxrsNfDxwbTe+PtF1+cqwRFCpRi0AhBdKUGFszny+Z1XOsClj1Dhs7WZBk\nydwWrIqCIXj2w3CLFo1S402B055BbYn0lK7GBjtdXsEYJKMXxHZPaHccbcPRHKl6wbyVDDZyrCNx\nP6Ke9sQxV9u1VbhjS3CeYEqSyraVSUskhiDBVhWmKpnJCMpjqwJfVkipqAGMIZQzIKLcgIwBPfZU\n48AmwDwp9iISTupOwFFEDkSGVzZrAbQisScgbYkul0g/suwP2DByEIGudxwv96BrNp98B735gOA1\nPmqSKpBCUFcGLQ1SGZS8O/xJNQF+TkkwRkKoJ9ybmp7LaqLLZNBSaQpSshld/A4qVObUmlvhDCE9\nMIKQ+WfaotSE/A5DRuerDEj0cSRET2mzAt/pu9INI12f/YT77ho33mlAf5vIFX5+zp1zk494xl28\nrxJ+M7SSlCa3hEcfiZGMGZGC4QTseutaqNuugbXiTlTj7xBGS6zOxid1WWL0252K10JkIxASkyDG\nN6ytDLKUE/blN7+XmFIuIHwCPcfM77HY7Fjv91xfXXFzvSO4RN87njy55vnzHuc9KW0hSVJU6Kbn\nZrdnXles5iV2XhJ8pkA9f3k9HXju3oyUIu8dRlFXszyaS5oQKkbX0g8t9+/f5+OPP2UcHc+ePqd3\nDlUVREw+FPYZwHgLfFOS+XyFNZrr7TU32xsWi4JHDxfAwJdffcmLl9d0bYc1cO+8YnRZfvN98dtU\nxP8BMPvss8/+rcePH/97wH85rfOff/bZZ//y8ePH/zXwHwH/4zctIlMidnsQB5TuECrQto6uDRRF\nZDnL3sNSqEw3MBJrJdYGpHKEOKA02KkFJqUkBJVbYmjWy3PWqwVKHemHAze7HYfjgboqqOuCRWVY\nzAV9I3FjRClNYQtKLSkZCSkQogE5ncBx+aQdCqzMJ99ju+Xy5RfYo6A8lpx9sEEsDH0KDFEi3UgV\nOlyUNFFSSihlVpq5ub7h+dNnuMERR4caPSIlfGEQWlGnRDndtwQTqtJxR7jg9ociJVwMjGFyf0pQ\nWMNsVmdrwtHjfV6fdFdNjN7hQkBPMpOjzzaMWmkKbfAxo0allBTakLRBnJyXyJSm4KYTf0ygE2F0\n7zSkFzNLYTUmjIh+JAyS8ZDoBk/XZBUzACsjcxkoZcx0Iylpq3Ka/3xzLErLpirovWfbjQzO5y+P\nMvhqxmDhYPZ46Vm4JZWviWTFJSXydWz6kbZ3hEVPXHQsO0U4GroisJ174tEhrzxWVJTrc7QSxOSJ\nwSG05aTRm5TMvs5aUpYFZWkxwmOUx1cFrixRWmBFIhqDq8o8cxcB6Rx4h3QjNiYqJENKuKn9L1AM\nKbBPAYXAIogR2hg5ysBeZS9qbSpmSbEQQ74nIuKjZ+wSGMHIHF2cgVbISE5YY0c1L5nXVT6Y6vcj\nPd8XKeVW5MmNKI8bX/fmCTFXU4XVWFPmrsXUuRFkDrPRBVqXKFMBguAkJE8xqdI1faR3AWsM5pX3\nmSZxG5EC3reQEmbinr6ZQ/N3+1Rdp9suUYzZPenEmc7+wfkZfRU9/b6kpqSkKPIsVoyREKEuJUYJ\n1BgZXgVHvsENVip3okivcPhfe8/TbFzw9qFAZA0EMf05q6G0gtJoSlNM6PL02ufI9p3TZxGClMRv\nKoaB3CHR39Ke9fTveOcZXSSgEaqkrGrm85Lrq8Tx2CB1gTAl+6PjcPDZnCQ5lDIYXTKMjt3NDel8\nw4OzT5nVZQZOtS1tl+e281mFVtnsIyUw2lJXFUrqzJaJGiFrIEuPGqM526xpmo5nPMvSvXYatXhP\nDHF6LtP0bJLnzXVF0zaZqlhoViuLcy3PnvXcbI/0fYeSMK8LhlHgveN9TLLfJhF3wOrx48cCWAEj\n8E8/++yzfzn9/H8iJ+tvTMRFUfPw4UO0Gdkfv6DpXrBaGVZLi1IRqSP90PHlV1+RJeI0w9hNJ8wD\nh+4riqAxJuQvc1Gx1kuUvqDrEs51fPXk1xybA13fIGW29iNqtKwYeom+GXENEKEoNctFwXJmWNSa\nQ9vTND3N0NJ1gqqsWMw3VGVJGY5I3bGpI1yskbN7qPoCUZ7Tjd2tZKD3njYNjMKQpGVIkl2EYxS5\nfRgTavTgA0lJohIk9S4gRSKoxCgiQmik0JySsZy0o1ECrERGifYCbQypMHit8VIQnMh61iFrT0sl\n0UYRUsz2gioL1hMSSWq8yu2hFBJJSLwy2alHCAKRHo8TCYwEFEFJvBDYVyv5d8SQBE3MM8bz2YzV\nONLpwOQ3j1ASaQxKgnIDOmYFqm8TjQ20Swd9JA4Z2T0MjiQ9BoF1YP2ATAGrO7SENkqGJKhlpBKR\nKDWiLnHDgGscPkr2SIILqMYxhkArBVrBYnQYJEEVxMIQlc6qTaPDxYSc16iqojR5wwvagJgR54a0\nkMTO4KhJhSItVaZMdRWx1aSjJ0bJkogkUCBYSs1yNsdai273iM4xS5I5kt0YeN47RAGqEvhhxLk9\nLYI2FXhds5eGuPSsiwtCgt3Qs3v+nLOz+1S24Hj5gv32CvvRx2xW62+cD35TSKEwpoSpFR5TmsxJ\n7jb+Q9fTDT1GCWyZbfJ8yDaDWhfZE1lrhIAwPRx6qryluFN7EmQqXPFKQpiVOeEUWlEaSYwZW+An\nM4vTXqhE1i0/VVApJdzUKeqGkX4YJxW895d78hVU86sREgxjnACUd7+fk6NETdKSiQzsG19pm2ee\ns8wtdRffSsZKSSpr0UoSoiO9MoJRk2rX6XqH+LrnsQ+ewbl8ULcVAoELkw6BzhgD5+8YEb/LOIme\n9H1Hs33J8WpOf7jGjz1CRIrScvbgAz74+Ac0LnJ1fUn0JVLBrK6Zzxc0TcuLF1e3azrnORyOHJsD\nxkSKApTqiAm8zzrvMSSGYcT5ksEVKFmyXs4gJtzo2G4b/uIv/xrvPIfDIXf7yEVeYe1kaKNABNpu\nSz8e2R0GtntD1w0oWdD3juvrG1KSGV3dZ9CZEAmQxJiVHsf32E//Non4j4ES+BvgHPhnwL/9ys+P\n5AT9jSGEYL26T1WB89f0wxVlrSfzhtwS3e8a9tst2hpMYXFuJKaIDx1t/4JIgZAlVlRIlSiKiqq+\nR9MGnj79nOvdS54+3bLbdWzWNZv1nKosiWGOH2Dsc1tSK0lRGGaVYTEzrGaS0UXc2NO0PUpKUqqo\n6xpBifIHdBwo5EBVVajlI+TiExCCwQ/TfCUxeo/wA15B1Bov8qmliRBEBv1IH0g+4ApDnLi8YqIa\nxdtXAq8So5rceORdIoacjJECCoWImWsotSYaTTIKT+YZihizMtSUhEGRgE4KgsyqPykqolQEofOs\nOyqiUESpCciJYpET8SjzpiunDdtPlCeV4HbANIFETvfUJ2iSZGMti9UM6TQdLa7PALegNK6sSUJi\ne4V2Q6ZDTeDRvOflFyJllGsSWbKvsZGudhiRqI8JJxKNd0hyMldOIFuXXa5mI7KQ+CDpo6RU+aBW\nWIUsNMONgOtIsNCWGukDugehBV0hkEqgQ8ifWBeTC18i+YlmFzKi3ViLlxFPBKFASZIRpCIinEBI\njdASUcKIpEkG5zLql6S5TgkbI2dJUU4JTtYV0o/IoadMmmVSvAgDXw+OWsLSSIY4cnRHtKnoqoqk\nZ4yqpphpVmVgHDqeP7umvbpitVhjC8twuOLm2Rcs5wv6swcYayeziNN39nTtvzmy8ItGCcEQQlYq\nUwp7SsTAsfeMYfr+SZmBRiLz4JXKScQoPVWid3ztu2R+x1vWkwvXKZLN1CSr1JSgM9zLxcg4vZ8s\n4pET+MmDOaasld6NjhAizjmk1Ki35tq/OWJMjDF/WiGY3KnyNTRaYDipkqVJcvPu72opKI3Ehaxb\n8GYm1kpSFQZrVMalhBOPW6K1QWtLoTRWKdoBmsHfUblizF2viUctyHz50+iJCXD4DczJ3y6EyId/\na1FK0h+37F5+TbO/YexbUvAorZitzzj/8BPWz58ym89RAqqyYrWcs17NudnuGV0GA0ohGJ3jcGxo\n2yPn55aqyqYbznl8yKC6rvdkYcJEiJLNep5dmZynaRu2uwNPn71EAIW1WJvHMUpmUZ6isJSlzf7F\nYoePA8djT9cmjC6py5IQArvdfjqUCcYxYxKkNKRo81pF9jJ/V/w2ifg/Bf74s88++y8eP378EfA/\nM+lLTLEAtr9pka+efEVZWtbrmq4DKecIkQ28nY94Fyh8xT0xY9u1XO4b5LRZnkKJCqMuiF6w3TUY\n45nVUBaa+/cMWi+RoqeqA+vlBevlfVbrNcvlEhNAe1gisEkgRGIMiZtDS9ON3Oy2HJsOgWK1OGe+\nvo9ePqAziuH4Ff3hGV8/27M7Rr7zvXs8rB7gpcUrcwtM8MExRIjS412WSQTwEWS1QM2WpGYgTuAp\nn0IWqZeJjuyEJEVGLrrEt1KbizLhDAQZUSG7xqQUQQqC0SQV8TLSvwJWCZNn0ylSigRGYoh4n63u\nlBAEkWjxJHxO7jERogfi9L5hICfymPK91EGgAllKtO1xOtEWHlM59uUAdqAJnsEEnJOE5Ahii0hQ\nRYWOitEkgoloE9EmISkRoswVroNRD/S6x9mEdwIrBZxJxkJzKEqUVxhbQ4Sb6BiDQFUlwlSEYfJo\n1paxUIgUsX3DmMCXM1RRYqsSiUXWBTo5quQQymRvWpEf/RDzlyzERGENOiVECoiupTcRZwKpidBE\nxpvIYLJMZdk4zLzEtDO6ADfHnpQMs2rBWM05OIXYO679iJWeedBUfSLIArt4gE+CPRLkwEL1jEPL\ni5sjg5AM0lIpjRAVla2ZVzPqsmBRGpq2QemW2Df0+yua8YDrGtww8NOf/BU///nnfP/xj/j+D390\n+1zcJaVvTsYRcDFmBPsE/DlZZjI9xlprlrMabRTjZJX5Vt+YU1JXt78+hRCSwhQYpTHqdX3sTA3L\nxiYnAGOMIfP5pcxCOFJNLdw7K8BTdZ20wllJjIrxPfPcbxsZqyEwWtwm49NHPa3t36HcBdlworTy\nrcuSjSzchP24+x7nQ4vLgLZpJBAnv2YlDYjMoa6LMlsL+pAPPFrd0tLe1B/4XURGyWvOzu7xR3/0\nT/ng4Qe0h2t+8cUXjENP17dcXe/Y7hvmL19Qv/iacWyZ1yXr8wfc//ATjHCI8cBiteY7f/CPGIae\nZvuSy5dP6bojPngKe05V1ry8vGa37ZDCsF5VdF1H1w9Ya1jMa4piuhY6UhaBsgj0fWaGRMbpfuR9\n0409bW+Y1XOq2lJXc2Yzza5saY4Dm/WC9XrB4bjncNwhKBGiAhHROrBeLXj44AKtNLt9x/7w5J3X\n6LdJxDNgP/36ZlrjXz1+/Pjf+eyzz/4X4D8E/sVvWuTZi6+pqwLnzpEqInVNil2mB4yBcQzMw4y5\nWLDtnnFzuKasYbm4U3iSskLLC4If2DdXGHuksIrFfEZhNWW5JMYjtowsZucsZh+yWC5ZLBZ5FoLA\nkE8OTXPkuN/TDT0hHjnsj3T9SFnMqKs1s/kFsV7TpZ72uOXm2a/51Zcd+71is9ljH3UkI3Ii9p6x\nu6MaxeiIoZ8eSoH3EVEt0PWSaHZAiw+BMaXM4dXZSxgESmQZyozEnk7Q04keprkW3OrjRpnb2EIE\nVHDIVziZSUsCImurRjf9/aycpW6JLScd4YAPAucFGkFSCS8SAUfizovZT1xSk4fPjELgpcpa1clh\no6AYBcOQqTpewVAEusJxsCMJxzF4WhkZeonzgcQRHRN9XKJjRSc9g0mUZaQoI1IolKyouyw+0hjP\nsQgEEaAHZzRhLhmMYo9ADYZCliSfuCk0fYDS5PmnGwcCkVEZemOxQ4sd+tyOL2boqqSYTUbiJCo3\nsOkbkpCMhSUok6lqPguwiCCxxV0LNvYDnfD0KpC6AFtPM3oa56hcz2xsqZdLaidpQuJmd0TO5tjF\nfXy1pImGsYl0gyMmx9wrlqPg/GzD2WKJEyI7CsuBhR548TJyedjjVCRVkpQMRlaUpqasSmZ1RVHM\nGKNG6oIUdrT7azgmhu7IOA58+etf8vzFFVILPvrk49tnLc+LJ5U13g8kyr7Wdxu6gNwWfuW11oql\nzgjSd3kfnx4w+Urr+NUQQmCVISnzFr1JSYkClNIobTIdJ4YscqEUcvp9UsrKZBOQS4hs9ym0whuV\nRzOJbxTW+U2hJqMJq98EPmW3qt6dqtm7b/SJQK2EEOe3rAAAIABJREFU4L2aJ5P62XQ1bn/71tFp\nYgqAxOgCOXXR9ETFA/A+IHTGk9ypbv3uW9Ji4syvNxf848WSBw8e8Cd//C/48te/nt5z5Ga7Z3do\nWG6vWVy/xLuBui64/+hDPv3xPyH2W9oXn7NYnXP/4z/k6vKSv/q//jeapqHr23zv9Ayjl3Ttjput\nz4yZ+YwQAl3fY7Sirops55pAyoi1AWsjxmRt/qyKljHgIQTaOKKH3AmUaslyWbGYzzFqR1Ucefhg\nwcMHa375ZcfN3k/rWiBhjGO9XPDdDx+gteXZiz0//fx3l4j/K+C/e/z48f9KroT/M+DPgP/m8ePH\nFvhr4H/4TYucn8Nm47HFke3+mqbdIZVH60hVziiLJR2CPjV4K5jPF5RVpKpgMZ+xXq1Qck4IMHoB\n1AgkKV0wjAV9t6cfFHX9XbQRjL2mOTYYoygLTbQ1yWYQCICzEEqQZY3W94nFFVEojruGn/zNL1HF\nc84eXTCbG3AjdXXBp59UxLRgcXafvYNTLlPGUNR3co7Pvvo1X//ic/QkLBKUQRtFvVlRjC1SQ980\nDONACBBjnn2EEJHCI1DE5EkpIIRHirtBg5qSdyDixkjk9MX2COHQQmFlboXlmCT2CHiRW77WCKzN\nhurj6CfhBnV7Ek8pEtKU1F/ZYKWQGK2B7FyT6Rm5vZXn+hYpMoLWLDT1owodPbELmAaMzOCxVSep\nvGWkYEyJ0UmiC2hvICbSMZKOgVFHok4I0SNJmVvooaHnKMZb1LecrB77AIchIb1kS4NAsGNkFJH+\ncMPXcp/l8KKgHB1lbzHKoPV6eiwSQzXjUM1R0aNcD8kDFhcSY+sZw4gbs3B/WRTYWZX5hRKOo6J1\nEqU8SgbkQqKsRDMySwPjcUuzd6hlxezeGbWUnG9KTD3j7MEZq/P7zNdnCK0Zd1vGtqEbPeyPqGIB\nlZ64phqnS2IVsGvNQtbosqSczdG2QumS0XuevnjBcxJGZz/amATazvj66ob+uCV0B4amZRxHEolD\n2/Lk8vIWJZ1NIDTzsmJR19iJU/w+TuopsUkhbmfF6pVZ8bsixIifOLFjjPn5fmOO69M0axxzVZhZ\nDXdb2Wk+mmIknPjFr/wbaTIVSadu0dtvHKkMxiRqmbDfBHr4DSElGCV5E9OUEm+tnQ/IfpKnvOMP\n/+3jZE95dy30e0Q88hzaI8VkOpPeNtr4bSOlbOvKCVV/4pHLzN11LlDXWXxjGBwxCr7z8BH/2g9/\nxBfJ88urpwxuYNdsuVjO+fDH/ybXV1f8+f/xJzx58hWXz7+iaQeMqYDE5dUN2+2RtuvQStIPQ3ak\n6xpCHDgcDwDMZ3NmsxnHY89+H2i71z+z0oqqKCfOfBaesUYADW0zQNIsl5Z79y548aLh81/8Mndo\n9AUhBnzICmDaFPgY2e6OaG0YXtGofzP+1on4s88+2wL/8Tt+9O/+bda5uBCsNw5Bw7G54unzSwCM\nNjx8MKcuF7Q0NLEBI1iYBUUZKMrAcrHg4uwM52ZstwLnJCLVCFGS0jmj0+wPDc4p1usP2RRLnj55\nyvXuiqrU+MoQTI3X9e0m46wglgJtLUVdo8oZKg1srw/89U9/xTg6fni44MNHmwk4cMGjRx9Sze+z\nH2HvoDDZ5EobgzZ37bL99oa/+cv/m1IpvvvhB8wuHqA391DrJSkNIAN770jDQAiCGBN9FxjeoTP9\nZigt0ZO1W3DxrdaSFYKFereLjpOJ/nR40PkL2fUBJXPFcidpGYjRZ3LzKyGkmBS33rbOk0KD0Ajh\ngHFKxCWz/YBpBmKbN1oZwPT5SzqWFX2SNINhGCc5yhBJbST2Prc8Aein/3K0znN0mcIwjndm54OA\nZkr285RbnL40eC14no6kFFCyQEmL7UestajlObrcsFKepfaEasFYr9Fji/GegGakYPAZxd73A03T\noJTigwcF5/MKWUWEhsPRct1oVjqwFB6zKLFnBUr3KN1yeeW50QfsqkbeO6MqNEWwlOWM9eaMxeY+\n1eZDvLTs09cE95y+3+OHATHzxF5TFCWFKjlNF4ysWVQbFrOSzbImJEHbR663Vzx/8YKmPQJQFhXr\n1TmmqPn59Zc8+eorVspTMU782cS+bXlydcWbcW+9xqpzsmlU+V7qyqnVq6S85fvqN4BVb8ZI5r7G\nlBhDuE3Cp0QcIYOpnGPXtPTjyGpWM5ev8zO1zH6/vMMX/ORR/r7IqlcGg8S8/Wj/zuLNtb0fcC5N\nc97ivQecv00oIfIcXIp3JuIY49+bKUSKWXAIQJhJcU9ppMqJ2DuP1ob5fMYwjKQ0JeIf/Jj+6jm/\n+pliGAf2zY6PPviAP/jBj/lXf/on/Pn/+Sd88cXPMcZgrcHYkhgTl5dbxtFhrUZplROxywybEEf2\nhz1NM7BZO1KMHI49u31kdOk1NLNSirIqqasZhTEoGQjxQEwtbQsxGj54+IAPPljz+ec3/O9/8gWf\nfvwRn37yEaO/xvkbkDVaVPgQudk3GK0Yhn+AEpduNFxdZeFtwYxFrTg0R5q2Zxx7QtoTU76JdbVg\nVi1I4kBIN7drKCkpjMKNkb5XeCR6FFmtqx8IQ0NVtlhdc75Zs5gvSErTCpMdCl9pHwefqRZdP3AY\nBoTzKHPG/Nzx3Y+zYtDFowfU52uMtSRb0osZwTGBMu6iaVuatsONI35wvHxxSd+NBJF4cXmNaQf8\n0xeZKxkDvu/pfcBozWxWY42mbXuGYZjcXSRCOKTwxKRJyTAmyZgkfuyJQ5MrNS0ptKYsiozyAxSC\nQsq8IarJsi0EQooUShG1RMqElAmtMuc6TWIKUuaTtVJ5Tsy0gQkpsMYglSJFAen9J/fSFhQrydFJ\nfvrzG8rOUe5HdOlRKisy2WqJkIagDR7JKIps7xg9MQRkNaMMaRJ6CCipkVLhmwZ/PNJ6z2XfUc9m\nnD98MFXpEIzJ2tRGs5D5eemEwomIjj0yOkIUxChROsv/ifkGOduwNJGVjgyqoFUVYy8zGE1ZSj0g\njMONHqEc1tSZllKUhABdmzm/o8tyKX2UJDRx9IToENIhpadpCw7xHN8VjC9bLtYzHmzO2Zyfs7n3\nHYZR8Bd//me0XcdHH97jkw/O8W5DSpL5+px6UdGNju3xBu+yYEya2pplKUlUaCmprKTWiZqBIh5Z\nEZi7I+WxIYZIXbZ8fG44eMl+VKxXgrKcIceBmy8/z7NhqZBFiSxLGm3Z2op+iEjVURUly3r2WlV6\nisikrPTGZu9jfM2Ob3QZzZt1ntVt5axeScKQD2bdMNIOI1pJlnVFXdjXkvs3Vdz/UEJMgDatNC44\nnM/qeMYUCPE6EltO6O5XLQzfvC7vi1twW5zcoGRmTHwb0N3fNYSUmZMs7ihXahKFiSlracera7bb\nHYdjw9A7ri6fc/nsC6TWPPzkMVQ1Umm+/PKXXH35BU+//GUWalovGZ1jNpvx0YePEELws5//gsPh\nJYm8lw0T9sYYTVkYnEsM48jheCCmkdVyzY8/+AFN03B5dUnbtbjRYXXJrKrYnJ+zvnhIIvL1lz/h\n5uUNQijKXvL8RUNMmVY6X1jmi4r5fM5219B1gqJIzBeRGBsur47MV/lgDb9+9336e78b7wnnNFdX\nHSmOFMWG+WzN4fCEtukYxp4YDyQyNWZWLbl//ohmeMah3d+uoaSgsIq+i7hR4oNAjICMHLueNLQs\n+hZqx/lmQ1EteN70vGyGXFr59natE1ikHwZ2bY9RklV1xuLc8nHIMo+zex9QLFaTCpWgE4LudMgR\nd+sc246Xl1e0hyPdoeHy+RVDPzJEP/mDXuUToCmwi3V2j3GBWms2qyXLxYxj09IPPcbYrIglO7Tq\n8aEkxIpjNByTpt1e0V0OpJjNMKqqYLNevub0IZi8b21uJTqXhU+0tWhj8GOugiimua8/KZOpSdhg\nktgLgdFl6cu6rjFaT4IH7xZLEAKqqmZeVxyOR77+2Q2FD1QhMd9YZrNEVRqKcomSJbeTb8skB5p5\ngUZnUI5zAz6M+bUu6J8/JzQNbXBc9i0fXpxx8fFH1FUeC6i6Rq821HXJKuMz2HsYfaCOLSb09GM2\nEhHTG47VklStWBpYGWg87LxgrxQ7ZDYYMT1iGGlUQJiATZn/rHT2O+377KIzqkhS0EdJH0XWAW77\n26l+Slns4tgJLvuGpCs+enTG5vwjzu9/h19/9ZS/+LM/5ebyOY/+2b/PJ3/4PdpUM4qKutRYLeiu\nO24ON4xty9C1mLKkqCrmoSClhNZZROKUiG088h0G1i4gXL7e3y0jhwvN/3vQ/JyEtSXLlAiu5+ZX\nn08+rwV6ucasNjSqYKsrjHGAYLOYs6wqCv36dnKqat0ExnqNR5wSg79DkB77nn3TUljLclbdoqzf\n1EWOMW/gzTCymFXMq5JSqTz3e/2r+A86BGC1oSxK2oEpEeuppfz6JziBzCLkVi9kEZ5vceA4rZS7\nAxF0Qkj7rQQ4/q4hhES9MhvPB/h8r3LR07M/HvHOMQ4jMcHV5TMun36B0CUPP/0xnR8ZwsCXX/yC\nr3/6E+LQURaGzWbF9c2O+WzGH3z6CVJpvn7yjH7iB0UdGYYR7wPW1lRlmQVehlwddwM8eHifP/zD\nx9zc7ADB1dUNTWyxpqCua87OL/jgez/Ex8TXT77kZjsgpaWwClu0+fA4ehYLy2KR6VX7w5a2FRiT\nqMpA0/S8vNwTi5rzzcV7r9XvLRFvtx1FQTZfZ6QsDT/8wfdQ+gc4f8l+f0OKGlC4cKAZnpHoqcqa\nulhSmSXNMXJ59YK+h7KwiGKG0PkEtphtskSizeo2PgRk8AilMZXKcpPeo7RGaZ2rRO+ptMLWJusU\nK00sKurNBUrAfFZjrGaIGfmchQokZVFibQE6n1rbY8vli0uaw5H+eKQPgXJzgUgxC464kUo0BCFx\nYjLRVpZRCXZjZGiyBJvzEkVCTUATJXWu4FJgSDCkSEgSyhlyEjRIWjK4PNNNSk+lLIgoUCkiZLbt\nimFa22dwQggCTUQTGSMMQhOSyNKWwpB0ATKiGLKcqLQ4YQhKE8X7ErHgw/sP+PTRAz7/8mue7nui\nkJhS0khL1xcsqoqL5QphK0bnboE7wQdGH/HRoYJARAghi6+nPhJTB2hYbggyk/1jteSQFN0YskDI\nEFF9pCoLtmXmpB76XHnZ5DDJg8htU+cmQ2/tSKZhUWqWhaYZA4fB046ObnRI77DBkWJiQBJS9oMe\nUyDISKHA2BpdFyyKiuVkLAFwljJ9qzAFhSkmU4XAfr/jenuDF5KrLjB+9Zyf/uoZz58+53K7ox8D\nP//llxTVjPWjP2B1bzEZLwjmdcWDuKJXgl54itJQ1oZzOlb7p6joCeOIaA9Y5dClZu5G9NSaVSJR\naE8tAgcRuOWtCAGFAJMR+z4F9u2efd/R7vZcXd1QGkulBebRh+j79yiLYvIy9oSpehOAVToDvKSE\nGBlCmIwL7kIrRV1mb+hi4sG+KQICmUM7LzPgppwqYfWNJgZ/+xDcVZLhjcr99n0I8ZpSWHzl857o\nUCG97Xh2ok1peadIJd74E2+urSZwqoJbCph6x7V5NaRU71TGymjx32fk8d/i/B4PP/0+s6qmLkti\nzO/th9//PucPP6YKUPrE9c0L2ptrhvZIF4Ao0SFNevkeqSyL849Yrzf8+GqHkILr6yu2uy0+5P2k\nLCyb9QrnI4djy8XFPT58dI8Hjz4imIqgWrSxrJYLNusl8/mM8/MzVqs5uBY/DMzLkovzewxDIMZI\n38P1jedwzNaLh0PD1dUVx6YhxkjXOS6vGkLwSOVZzA3n6+V7r8rvLRHfbDvWK4OZK1LqKKuKH/3w\nBzx8+BF/+Vd/yl//5HI6ecAw7tg3O+qqZlbOmZcrZnrFbrjm+YsnJCyPHnyXcjGj05qEpFyeY+M8\ne3amxOhH4jiQVElRV4xtmxOxMRRVhRsGQgjMrGJel/goOAbBKErKtcFKWBYq+4S6O6VXKSVVNWM+\nX9H7nt71tE3D5fOXNMcjfdOgtKa+uH/r1Vr0LbVRjD5wrTSdVCRTMgi46gNi6G71XoULZAXRhBBq\nooC4SWlYkGJClPOsmgWE4Gj7HqTPgDR1h4YWIq+VmBS23Ok1kKAiUuEYULRJY0LWW5XCEotsnlBM\n22ePwWNBJdJ7DuZKSjb3P+DHP/oBN31g+NVzhI5QG3plaHpD9DPO6zWiKhnajt5Ns2E8HZ7RB/AJ\nQebspqRou4G266mLgmp1QbQzqnJJrEq2Dnw/0HZdRjHLG6w1zKsKIeDY9QzDOG2IgroqscbQdn2+\nbkIAklldMq9KumHk2HYTCjzTQgRgjKYqS1KCbsgdhQOJorCczedsztYs65pZlROxAExZYcuS5XzF\narbOnYeh51e//pKfff4zfAo8b0a+fPaSF7/4nO3VNe3UNv/Jz7+gaXr+9X+6ZHXvo/zsCcGyrpmX\nJZ2GXuQDbTWzLIcjq+2O1B4Ymz2VkNwvK6gMPorb0akUkVo7tBwYcdSnKlUI7HyOWc/YDbAd4Bf7\nPV/vO47CMpqaeWE4KzSbQqPFH1KVFW3XMnqf6UspYSc+sNJ5lNENPf3o3qIqZYCSuvWlfl9y1VKx\nrKtbKcNTJ+N3Ga+CzE4z6zdDTdzl06PvYgYmSZEtTxOQpln3W2tPf/d9Fo9vrs0rSfdE5frGTyyy\nz7HSbw+4vy0X/O8ztLGs7j3gox/8iO8++pBHDx6glMXoguV8wWq+5NDuse2e5uYJYXeJ7zqiqYgR\nRjcwDhkPgrTMNh/y6JNPGH1PWcBf/NVfcHX9HB88MQjK0nK2WXNs8ijy4YOH/NG/8U+gqOkwDDGb\n26xXSzabJcvVkuVqhVKKtr1hPDYsqoKH9x9ys9tzODT0PfR94HgIdJ3nZrtHSkXf50TctoG+d9gC\nyjKyXlrurf4Bui8tFzUxOg7HgZigrBr2x2fUB9AK7p9/iC1LirJEm4gxETuR1UM0HPuOMYwYq7G6\nYL2wlHONSZIhSoSsCEFCahGpJ7hEQpJKgzQTt8+AFgETsxbtSEIJgZECLfPos5AC0BgJVmWayvHY\ncXXo6YcB7zx1PacsKrxrcUPH1YuXiO6AGju07wFLmGDFmggi4cs6A5FCOpXWpBhxYwcpgLZZtN8P\nEFx+rU9chnT7f6UUShcZrOWz45CYZnWJ7F17G69uCiIL8Eulshm29wRtCNoCCo2C4Bg8WW1r8EgB\nfgJCuehICpTO1U421H6drK6kpHWBYwBsyWK1JvmRXoEqSqpyRtKWl9sD+tgyxjjpFEMMk4E8Em0N\n8tR6TIlSW0RRsF4uWC8X7JsGszswqyvWy0UWPEmCcRzpuhYhoa4rjLFZV3r07A5Zt7yQiUJ4lJWU\nouAwOI7DCGQnm9x+GhHRo6InCYEXepKMHHNlKiWqLKZDXYEuywxK0RpjzHSPNLooMDYr7EQRUVpS\nypL7Z2sYHrLdbzm0Bw7X1+wODZ0PlKVhVpXMygJrDDqOyH5L4QLzW93tRNVc07dXGKcwg8G6jtQd\nSUOHGDqUsViRTUUimTdvpcfKjJ4eokUXkuXKUlaastQ4qfGTAboS8Gy04PJhCKmoZiUPzuYs5hWH\nrkPstpO0ZSCkk9FGQsSAmEQjJBnAdao01STKcUoNaqLtvC9VCAFKvF6J9sPI6D2lMZT2t0dXJbg9\ncJ1ev8/DOx/X7mhHSkoM0zxXGyDdHhbe/Hv584lb9LYgvSZIcgKovesafKsUmtLEnfZIkSvjNJkz\n3LEqsnXq/y896incONDtr7naXjKOPUVZsVquuXd+P6upmQI7OXyVoSJEj0rQN0fG9ghDR2UUF5sz\n4mpONau4f/8e9XzBbLHm409+iBaRy8trXj57QSk7/BgpqjlptsLLS8bRsVie8b0/+EdECbumwe2u\neDoM7PuOru85Nh1dN6K1om1bmqbheGzo+x6jc8KGPD7bH9sMrh0GdvsjMY6kmCYFOE1hJPNZlhi9\nlQ98R/zeEvG9e2uev7hmv2sAsPbAkyc/o+ufYOQF3/3o+5iixpS5khECoh+JbmB0Lc7vGcPAfD5j\nXs3YLC1lpdBOcHSShoI+Jcp4g4iHLEyRNNFkdGUpwRoQwiF8wId0W1VCVm5U4i7lCTI9p/X59PPV\ns2tubm44HA7TRQcxtIixzad7oyE4FI7BJ/qQMCKi8QRt6coZLkLoOpiqkJQCaWhJfkTWCzCKNHak\noUFUy1cS8V0orSmqOgufx4CUFlPmdnzo+9u13wxBPpnasmDougxW0wWpqpBCUCBwQ88QU3Zw6vtJ\nz+q0SfVIHSiqCkX+ko1v+K5KKdk2LU8PHU5q1mcbmqajG3pm5Yz1xTnBB569uCTFQFEUk7rPxJmO\nWTPZlAW2ukPFlpPt2/3zM+6dn3O93WHrK5bzOffOz1jNVyzqJV3Xcnn5DBccZV1T1zPm1RLvI7/4\n6gueP/8a2x+wrkMVBiFrvt4eOQ6O0fnXPJ119BS+I0iV+dghZpEAk8FxZVVSzmtsVWZPYfHKdbYW\nW5a3rcLe9Yx+xOqCQlnOFzPu2Q/4+mvPTy6fMu63eCSqqFjWBWeLivPVmntnG2oVUM0ldepYxTuw\nYXHcUh52+R7J7OvtYrzdgN/EKSsRmWuHloGjt3SxIFaJqhKcn9es1yVX257rm55KC6yCWaqQaolO\nEoXg/P6GT797n81mzbZpOPhIoUVWMVMWKUWuFE+CGSkiSRRKMZArzVP1d0oHGWv27ZNDjFkuc991\nnC/mf7dEPElcvspr/jYGD5ATrp3ASfpUiSbeObYREyc9xQxikym9BjYT/N1r1tPa6HxIiCkQvLvd\n0KRSCG345gb37zaGvuPq2Zc8f/mE5rhHICiMZVbO0NqitL09uBhtmBUzJJK27RjaA6nrmNdnPPrg\nPkYr9vs9m4uHzOoyMw2+831mZcEXv/gVX33xJQM7XDdQ1AvGesUgNH0/MJuf8fH3/jEitexvnrB9\n8gVt2/D8+Ut8iMxnNQ/vX1CWJcM40vU9TdMQQuD8bM1mnStb7z3bXcYsDaMjpQalEkoljNaUtqau\nDYu5pNSKMDEW3hW/t0R8Qlhmtx+PlA7vR8ahYn2x4GLzEQhNEpquP9L1R4gDIo348P9x92bNkWzX\nvd9vDznXXCgMDfR4BpIiJVKybtiO8IO/wX305/TTjfviCEdcO6QQrbB0SZ6xZ4wF1JyV897bD1mF\n7nNON0lJlI7k9dIFNJCVlcjca6+1/kNJ3ZQYYwlCRRD6oHwMeqfE06plKeERiR4+PtYGWKfQziKb\nEs8ZtADlhyg/whQljcsJFYS+Qn+kbWSsZDQYsSksi9sb1ndT0F5ri+hqIhp86ehKaLSk9iJSqzBW\nIZ0FJEYqGtPOrV1TIesWYOCs2XGFHb4ErcF4EmM0+B4iaAUVALRo57lIgd2Zlzu35wHanXg9raSl\nNW1mkwon3z3w1hpM3dxXoa1dnHkPeCaQXoAzDbZpvlcdOJxpaKqq1Zmu63sgSSv1WO/E/xus0gzH\nE/yww2q9ZrVeEUc+41Gv3X2uNxgkSRTi+z71eyhb7XkMh0O6vS7VzneW3VUYD4ZMRhOkaN8/SVoZ\n0jiOSOJ4R9xvqE2N5wcEQUQSJRhjGQ8HWFMgMh9ZbFGq/RueBCFRJ2GdlWyygrosWi1UU2JNiZAa\njcTJ3eapkVRlhsk11dYnDAP6YUDSiRlEjqGvqLc51awhLUrSvKS2jto5xp0Oh90eR12fo47Gasu1\nrblrKrRplc1cI6hLxXKb4/QaP7jCFVtmxYZ+nXEy7nM87lOmW+aLNb3AMQwFqACjA4yV2PodbUJJ\nR6RrhGvpYJXzsSpGeQGhcvi6TcaKEk9LvChm2QgWRlDGId0whMpQlCVKt+pVRVlxu7xCBTEnB0MG\nfret6qR855P7Pmp6t7lpX7b363eS7/fEQN6fuX4/LRpnW8nHnfby+7F/731I+AH46/uhhGitSO9P\n4Ls//f1jvn+ee2MA3M7/V/ywIn4/2mvg/smbjz8m9sfeX2ex4xbffy0+jJx2u2r6Qypn+xBS/lHU\nKmNai0CHQ0uNaSrKMmO7XjK7vmaVV4x7fbrdHlq0yagqK8qywgsivDBivtqwWK7ZblLqosLUVbtO\nSg/rRxjPpzIVTZMhtE8QRAyHAx4cTyjiiGJbkDnL3dVVO+tNYrLtmhfffEVZrLi7fcub8ysqNKPj\nU8aDEYGnwZTUdU5jcpwrCQMf3w85PjpiMOhyM71jOV8ghGQw6FPXDVVdM0xCxqNeq29RWrQW9Hsx\nnpak6/VHr9WPloj3IaVD+w1+2BKgPd2n35twdHJCWTaURcM2vWO1vMTThsB31I0hLw1SOgJPoD1F\nYXyaxsM4gRIQa5DCJ/IP8ZWgqBrK2oBwuCbfJUXQYZegdwjpAmmqducfhB+0bAPwfIlIxuigw93b\nl7zN18iwi9AecRQxDBVJ05DUBhP5NFGEsJK6Fvek8aapW8/aMkcUGXKnpcvu4VFak3iSMBDU+NRK\n4OIEFyf35xGLFmCzrQ3LoqBudr6gBsqi5dg62zoYybq1j7N+dA/ecs61SbRpcLtFsnUHebeD156H\nFwRIo3aWd9/d3budb6uA+2S+/xyuKrBVhsIQxDHjcZfIj1ksZtzeXeNLwyDUzCWkSYRFcjgZ4wc+\nm7yg2LkxhUHA8eSI8XDIZrMi3a52byIYJF0G3QGmqimStG1hS3HvJysQJHG3nbXvE8NOFrCTxCAm\n1FlMk+f39IqzoeUTYXl1M+fl9YKszimKDa6paJxF6lZFTOwW/aZuyIqSqm6wzhL7ms54RP94zOFY\ncBB43FxNWby65eJ2wdvbBVtj2BrDs8kIdzzh4MkxwyfHWFswEZZbDHd12TpuUbOoG+q0wltlpNuU\n2XWIXa3w8oz/5S8+5WjcZ1nUvF5kPBvAw0QiwoDC61BVDdV7fzctLIGusLYma3wqEaKiDlEU0QkN\nsVfj8g31aosQA4LOgGWu+LqQFEHEMIgR6Zb/KE6cAAAgAElEQVS6aTCNpcgrNtuKl7MNYdxj2Ovi\n6QBf6daXdQfManZuS/vYv2qce28D98NQUiJ21WL9vWPsIwoCkjBAy+/W/WbHkd0nHy0lvvi4Itie\nJvSxZx+gMub3nq9z7Yho//rfSwipvtPS52PXwTmsab6zDnznOLQ69kr94URcm5o034CzRH6EaVr+\nblWWTM/fcH5zRxBFEPoEpsSrC5aLNcvFisHxQ4bHD7m+mzGbL0g32x1IKidNU5SFZSOgcWzLlCxb\nIG1MXVd0OxGnp4fk4wFpmvPi/JqrV6/xJEwOBszvrvi//s//yt18xuXVBUaH+N0hP/nsJ/xPf/U/\nIE3Nt1/9hqvLFxizQklLHI0Y9A85Oz2h04m5vLrl7fkNURRwNJkwXyyYF0u63Ygnjw9ZLLdcXMxa\nmc1eiOfBYvVx5ecfLRGv0xyBI4kD4iggDEIEmrq24AxaVKzyOfPFnCxbgMt2iUqAaHmvnvbxgwjf\nT1pTdWqsqTCmFa+Uyke4CISHkIL758u+a9fuGJ6EWiJ9D19L4qilflRVq76jpGo5Y40hLStm2y13\n8zlFWYHUrXwOAqc8nB/glMV5FuN51MprVYVs+wALGrRp8G2DdAahwDnRzkOdw99ZEvqiNRXwEDRS\nt1zMMsdKiZMC5Rq0q1FFjcwr1G4YbGiVh/a6HtIZnClbw3nrsPLjpPJ9CLnbyfs+0lSYpuU6W2Pa\ntufu55zY+xaLdhPwXpVjywLqErOrlLVwJL4gsxVsVhR1wdJrOdeyXuMp3SpbNR7lNqcsSwpjqZRm\nbS1xkdH3HUeRIM3byjK7bHhzO2e9XbNMl5wcjjgdJ3QjR6Brsqxkvmil81ZFCQpGw5heN+I48BB+\nwF2VMqtytllBVlSMY49+7HEWSPpHXUzXYMeOMs3I05KsqMnrnKJ01E7gSckg9Ai7PlEAvUBzHPsc\neBZvOWNTrCmvFnC3oLvNODMZtpNgO33Ouj5Pw4xOfkt6WbNe55htRlDX9E2FxuL7MfgeRWWw2y1z\nGrYbD5MVqKZhcL3ASy54c7vk9e0GLx7wsDMmDBIkAZ61KG3ajchuQmicxDjV8tBRKOlhtc9SSebS\n0ThBYzWV16PUPRa+JHVtq7wTxRjjKLKcMIzwox4awaBW+GFC4PmIHRL9/UT0sVmrc46PpzXAWpp9\nRfwBBLMQLT1rLxpSW3svednsu0P7n91V5ns09vfPaP+93/d/8G523Fh7D6S6tyZ0bqfY1SKmHe9Q\nzz9GtOpWHxhP3UNT2tn9vvLfn7v7wIZHSLn7vH/cZ3nXYhf3ssRCCJw1VHlOnqZUZUVVGzazW8r5\nDdm2INvmNNqn8UPSLMVax2AwYjA+IA59rHVkqzXrymINXHcT7HZDUzbUVUldFcTDQ9KbK9ZZynq9\nJF3M6CQRQSdktZq3WJ7FkpvbGfFowkF/wvDgkM8++wnSNSzTJdsqxfMNVbkFfOqmYb5Yslyvmc2X\nbLMMpUVr1ysdWgPOtZWwUgz6Md1uhPZ8qqpksdp89Fr9aIn49nZJGMCgH9Pr9AiDmLpqyLKUYjun\n2CRMr7/l5cVz4ighjuKdIEXrZCID0F5MEB4QBiEdX2BsStmsW6EFuljVVpDNeyCgH0SdI/IFnm1Q\nvkcQeERxQFlVVFmFtY7QD6gszPOKy9mSb1+85c35JevlBhn3ELJFSZYoNs7DhT7O98ibhrxuWo/b\nvECaHGFzukIwlD6hL0EHVLVkbUuMtfR8n9D3qJyjLmuUc/jOUWdbqs0WE2iMr7F1W1Xbqsar2p8D\nKK2l3MkEQvt8aQlCtEbqf4yIjlQt/88VEiMlprE0dSt4orS85xUL0VYrQsgWoWj3GtStL7Ezlrqs\nKLOMEkNRrVm9fc7Nb39HmmfUCoS2SK+ho31cscYZhcgKbF6wKEoyYynjmKLf4z/99BG/eHbM69WS\nN3dzXt8seHOzpJZtC//4L3/Gz35yyGQgkNLwZnXHzctveP3ynK+nMwglf/GLE4afnvL46CFDv8MX\nlys2N2+5uppxebukHnaQoy6PTg74Hx8d0PETYjVmeb1g+nrO66sZz282TPOalVN0+z1+cjLhk9Mh\nj45CRomm2Bo2y5wXb294e3XX0k4EfN4LGR31GXzylOFnT4mrJVF6xfR2zavnd1yuauZbA0XFxDSM\nPI0a9iCKqZcpRVYwy0tmReshHYQhf3+z5OVszrK0LCpHcnrKk8GnHEiI8gxfpfheiZWOSjoaIylr\nn6a2NE6ydzosneK8iriuA5zrYn2DlR4Wj8wTeAp8LyLyIkxQU8Ut0KY7PiGKYvpHLQ+2E8f3s1bB\nv1y52O7kLPevvx97Q4kPtYv3Xsj7MM7hjPkXAZT2m4v7Sl7sR0UtWnqfcC28U6ySEv1jJWJrPnht\n9tGiq/UfTK6ttr9qTT/+SMUvJTWR32I7fC/ANvV94tdaEQQ+nbhDJ+yy2Lzg4vVbPO3jeT5FWbBa\nz2nqiigMefj4GX/2q/9EsV3z+vlv2cxu2KxTysWc13XOhfJ4c35O1Rh+9ue/ZHJ0xN3qOd88/4bF\nckvd1FS1oCgMpjGURUVelDuwZft3832f4WCI0pLe8QMG5ZZ+LyBfzrm5XXN5fc2L16/J84LVeoNz\njrLMWVNhTE0YaLKs4s3bJcNhxOmDAzqdAGsV2yxlufqhSt0+frzWtFMksU+/HxJGAUoJSmdpKkOW\nrdlsbtmkt2y2U4LgkCjs7PjADUK0vFHwKEsBpkaaGshwdrvj5sUIHJIaudNPNQasUBgkWrb+pnVd\nkW7T9mvZ7rrrpqFpWlqP0h5+lFCVhmW25nq25HaxYJOmCO2R9AYt0tLaFlBmGvIaGmfxBHSVQEmH\nsjW2LqHO0VIR+JJEe/iBh/E0vpQ0xpL4Gk8p8sZQYjCu9TbFNFAbBBVYia0MtrJIa4icxbpW3lLu\nKDb39Coh8HVLlTDGYhpLbey9G4517l5C0O6+9lAEymttEy1Y4zDO7gApbQPAWIcTdqfUA23Tao9Q\nEoioi/IDBr0evvbxlcSXhq6sOVQVPb/BBoogViSxxjPAZku+qWnWOa5qGHuCw0AylCnHtmZcduil\nAXo2pby8xi1T9Cal24voJAkTUSDXc4oipS5K1m+vyM9foBZ3TFxJ4IccioJ+vSVY3WHcmvTigvnF\nBaQFfVtx6BlOE8fDGB7FAk+0qN/KNIR1xQDHWegxCH3KKGI4GfLTxxMeHfYZxqAx3Cxzyk0Km4ww\nKxkedBiNOxzFAYdRgDcO8XxJU9RU6ZbF3YLLiyWrWuNHXR5MhsRHA5SvqeKEwjjWwnBXFdzUsHKC\nMIppwpAsy7moCmrlU0ufhZWsZUBfN/Q8kFZQWY8Sj8xJcqcpVa+Vd2UH9tMdGhFzVXu8NQqp/HYz\nJlpp1MbVONdSjhyOOIrw9YTRYETc6ZPECZ33H20+3pZtOyd2tyD/4QW9reB/f4vXuu9qoH/0WPvq\n+0/QMv7+sYSUNNbez4TNrhqHH1fpq535ml01Kt/NgHchAWsEYu+PbD88H36/G/DHbin2dpjQgsO0\n9gnjDnGnTxC2gkDOWpq61QPf0zsBTFNTlAV+GHJwcsrJwyecPX5Cnq5pygyBRHBDkWXcnp+T5wUX\nN9dYpTk+e0zS67ParFksl1SV26nttRaPTVGwNVXrk60UnU7CwXhMv9dSlrSW9Hsdlt2E1VqS5618\nbl7k3N0tWK7W7fxfOqxtxY8AtBZY25DnW+JYYmxEnhvyPKcoM6q6pBVB/mH8aIl4OBgxHvskiUDp\nCmOL3U2i2JYZ882c2taEYUgU+USxpqxKyiZHolGiQ55LNts5goY4MkSRJYodYRTiXIgUIbFv8GTJ\nprbkpaOQAZUISHQLhkqrVgkp1IJEgVeVbPN2nuhJRZj06AyPKNZb1tu3LFcbPM9nfDAGuIeul2VF\nSE1YZ5Tbim1Z83jU45ODAZmTzAvYlLBtJAJHicFXmsT3SDxFFPs0jW2lHY2990ktTLuDU0ohpSC0\nNWFZsjWCDRKpNaGSWGupa0MgoKtV62dLuwhEnsbf0VAaY9nkJWlZtY5B1uAp1SpXmYbaGCLPJwnD\n+8q3XeccnpLEO5Bd0RgqIbBByw+NjSXcLTxSKeLDA+KjCcdPnzAaHjAMYRRahg8nPG3OiDxDdxgS\nhAqtBctZyuvnt7zcZJRliRCSv3w44bOTPgO/pqctypSsX1+weHPN3etrxpMxT37+CQ9POjx80KFs\nJK9evmF1t2J9c0eWplRlwZNhzP/6yUMOjkZ4YYKzkuWrS25vFvzji2u+uVny7GTCL56e8ulZl8/O\nutgGTJ5yNb3l6nrK7HbF4i4l9jwejvuMjgYMHo3pH/ToJyGmNlxd3HJ1OefqZsV6lXEQhfzy6QnH\nTw84fjzGKzN0mfNqfsWLb9+yXq7IlkvWacFqWxEPhpwcjjg+PeL0wQEejvn5FdcX1zyvMu62a0xp\nqRqHLHNEFOCkxkmN8kKCIETQUG3vEB1JJ6zJpGYq+ixrj9QGZPiUQZdm5xCllCYKYpAei2JLVeR4\nQYAKQrTSBDogrWrKPMcZCwIG3R6j7jGdJCEIPrywfDgcxrTOX0p5qI9aC/3HC7Nr596PbVzrJ/7v\nRWxT7KrZdkT2PljOYkzDHtzdagx8YKOy6wA451rjhn+GR7P2ArqDQ4aTLXGnj5BXpNs1s/mUIPR4\n/OQhaZqz3bxTPOyNJkwOTxkfHiIkDEdj+n/1P3N29oQ3r7/m9fNveP3lc2azOV7gEfU61Nsl83NH\nsVm1ug2+xvc0SrWyvVlRst1mBIFPFIUcjMZ88uwTJgeTlqJUGwae446Gry5vOH9zjtIaf89vF+zQ\n0W0yfj+UNgSRpSglFxeO/R0QBOB5H39WfrREPOh3GPQTwshi3ZrGNK0JvdHUpmC1NTS2Jgx9EI6i\nzLG2aT88GkGwm9vW7Q5bg/I1kdRoHWNc2Hr5yr2QhduhNVvrvP3lq4xlU1tqA06/oy2Fno8XRmgv\nQPoxRtbkRU2WtZSRIGgTlXN7L9oKWdeoeovvDFIZeqphrCyBtNS07bPKtG0e59yuRSMJfI1nFbUy\nFK6lC2nZ2h/u21ttUlR4riFwjlrsHFW0wvN0uwD4u/kU4l7f1VOSSLeJGHaWbrsy2yqFc7adS7+X\niEPfJw4D9M4sYt9VC7Qi8T2EEORNe661lujA57TfYxiELGYL0jSjNzmg/+QRg4Mx3TBgFDYchYZg\nHOK7EbF2dLutXVhdN+h1wVxB11dMBgleGPCL0wG/eNAloERUBedXWy6vc8p0S9cTPDoa8eTzZzwY\nKE568PWbOb97MWV6syCdLwm1ZDxIeDwZ8BePJvQHPW5mFdfTFVdvLri4mlKkFd1A8+h4zJ//5DEP\nenCcwOX1mqubDW8ubnl9eYc1Bj/UjEZdnh6POT4eMDjq4UUeZdNwt95wfTXn4nJOWdWEoeL4qM/T\n4xGdSYckCcnKLZttxvnlnG9eLlqf251f7ME4YnQ45vjBAScnB5wcjXF5Tmlq1DZDWIsKAsaxByiK\nuqaoKqwnsdKn7wf0ux2qIufVq9dERwN6hwNyL+TOwNxJ0lqROY9SehjpoZXG0z6FDhAOMptj6gpP\nS5RVUFqasqZOU6p0g9cXeLpDJ4kZD0cE/j8lCe83dAZj6nt3oKIs2srH8wmD8IPmJP8R4n0d6O/E\nrtNk9lX7jkv9p5gZ7zsP++X+Dx5T/JAY5ZwDZ34wE//g+7lW92D/N3K7z7Rbcd7N4nfVN/f/wn4q\n7wCkIux06A5HJElCFPgI2QFfUjtFXlmSbo/e6IBud0C300dLR7peorp9DsZHRFGIUIY8TXn99UuK\noiAMfZQUbFcL6iylzHO08lreu9trbkPTWKqqbmmGgBQOD0e6mvH117/FczXVdsZmOmVxN2e+WJOE\nARIB1rZ62V6rCmn3DADncFg8TxDHiqqybDZ7Nz1Ht6vo9b0fXP99/GiJuNP16SZdglBincRaDxuJ\n9sRdSZplCOkIQ588z1ivN/S6XYaDPsJFmFqigoBwkCAVdH2I/Xa+aZwGF2ARFI2mEhIrHV5AK9ot\n2rb0+1EZ2DiIVIu43kdjDNuiYFuU1GYnb1ZWmJ10mhSSumrnoF65xVU54+Mug+Mufds6bmyLkm1V\nU+yUdnzZJsdo1zJuq+rWROAPeZ9WUmM9Se1an+C28hXEgUc38qnqhvkmp6oNnteCzIrGUO2Oa23L\nL5VC0AlDIl8jhbw/D+vaG00rhe+3Yun7B8/3NJ3IR+nWb7gylrxuiHtd/uqvf8XZ6Ql/99/+jt/8\nwxc4L8SGPbSShDZjZDNOzRY/KJDjgCqvWa1KVquU2WLNcpGSpgWjXsLpkwOGg4SzpCaWBdmqYrEo\neX6+5OXNmsPjEX/9ySnHz55y9PQpZjbl5sUFl6+uuH11Q4WkOxlxdDDgyfEBh8OYxijevLnji6+v\neHN+x3a7xVrDpycTjk6PePzJU84endFcX3D+5QVfn9/x1fkdy9KwaQSfPpzwq8+POBl36EUBrras\nphsW64zpJuVus2W1yhBS8Gc/O+PR2ZheHBJ5mqu7NV//v7fc3c65u12wWJcsNiUnx2OePDrmYJzQ\n74d4UQfhdRHWsXn9hvl0xpffvuHNbMXcj/EfH/KLkwfobo///s0rvnh1fo+CH0Q+D0cdVrMl/8er\nF0x/9jPy+Al+0mOrHJlnKVxNWTeUZYOQECYhgQ5aMKK5L4nwTI1fGbabjGyTU9ctbSzqdTkaDhh0\nOveL2L80FssFlzeXjIdjHhw/wJf//6mS4d2Me9+mFqIF+P0pZsb7Wbx17g8e850l5Ltq+F/8/tb8\nQMQHdnaZqk3C90I8QlCWBbfTc25vz/HikAdPP+Xzz/+Mh6ePeXvxiourN9RehDfQnJw95pOnnxOG\nrRDP9cVrXj//llWv16q+BT7JYMzw+JT+8RHzzZoGx2adYuoGz/PaDmEQUxQ1xXvOR8ZalBY4HFVd\nM5ve8PyLf+Dy5Zc4W6GaBr8xlEVJtm2dk7LVhqYoMUK0VCZPoT1J0xiaxmBtWxD6vk+3E1MUElND\nWbaU1LppyPMKvjPEeRc/XiKOQ+Io3iWLerebklgLadaQ5TW+1yKdq8qQZQ1J7OF7fayJqUsJSqP9\nBE8pfGXa2aVTGHPfIKKy7zh0ypP3wgbG0Qpq7O5JCzQO6t33a7vj+VYVJsvYbFPyPKcsK8qqTcRy\npxlb13UrkVk3uMYQhgHDgxGsWiH7dVGxrWoas7OB04pQt1xlZx21M1RV0+ojfy/UjlKxD6l3vp7O\nEbxneehrRRS0i1irF+CQ7FHN7+ZsLYpTEniabhQwSN4JZUghvuOBGoU+SRwiBTjTEEU+o2GHKGzf\np6hqFosUL/R5MOpyfDSi0+8gQp8giUl6PXqRx0g3DG3KoJzhmpqisaTbnLvbjOndiul0Tt0YwjBk\nMhnx+NkjxoMYtbmkXmyYzXMurjNulzlZWdHvhfz02YRk0iWJPK7SnPOXU6aXM4rVhmg84OTBmEen\nE54cDvGcYz5bcH5+w4sX59xMF4RRyGjY47OzA376kwcEgx5aC2bLLVffXvNmOudqukD2BnTHY45P\nD/nk8SG9WFMZw/xmzeXFnOl0ySzLya3D6ySMDvo8enjE07MhtTFs85KbuzVffHXJKi1Ybio836M3\nSjh4cMLx0zPGw4huLKgawWJr2Cy2pLdzbm8XvElrblVEMxgTHB4yOjsl7nR5cTMHKZGu1SKPhKPn\nSV5utnz94ho5eMQ4DxmErfhARUVOTmka6rJoeb5hhDQNVZFTVSWuLvElBFISKknRVJhsTZ3nVHmO\nPnlAP4qJfw+97w/F3ut6XxnUTU2WZ60z2r8jus8/N97nBO+rVfNetbxXzPp91avgw/zj+wp4V4U2\nxrCtSox1dIIQ7X98E7OnNv4pYo+q3s/773nhe8WwnUqgeB9h7dqxRFXmOGsYHRwy9mMePnzCyeSI\nxWoGUhF3+3S1z/HxKQ8fnIGzrVjQds3Vm9csOjE68OmPRu0mP0kYHB3R36xZzucUWdY6tCm501No\n6YzGNryDErjW4Uu3Hb8i3zK7PqeqChaLGa6qSfAJggDVbcGHeZZRpDkyDlFeiFIaJTVONlghsBic\nFUih8L0A04DWlqpqKXettefHr+mPlojDIEEpj3e4SokkBuEhhUMJS1GkpNsNUTBhMpzQiYc4MaA2\njqKqqYXFSUfTNGRFRikEzo9waqdsYy2yylG2JowigrDV/XVAaSAzbdJ1DgIFsWr/b9uAwQAl0klq\nK1msF62Y+HKJUAqpdIusplVYQQhE4CFDSSZCbrYeLiswu91YUdZoBJ0oINjZvBlj73dqH/JHFULg\nK3kvaADgB5rA96h3lc394uUcy21bCSMEoe8R+fo70nntZ29b0gDdJCCO37UXA98jCPT9IpGEAd0o\nhLqi2m4Y9xSfPO4zGra7utU647kpmC2WvPr1rzn/4guuZynewZCDwwFPj/qchJLjQNJNK8x6we0s\n5fy2YLbMWK4yttuCLC/p9rocPjjm5OwBw+NDPCXY3Ejurgq+OV9wfruhF4X84tERj4YBA7+guLvi\n5mrOixfnfP3qkrJpGA4Tzh6O+MlnBxz0QxKx4Xa64tuvr3l9uaCqKiaTAY+enPHw4QlnxwnDvs/l\n7RVXv/uWq1eXXL66Ai05POjx4NOnnP30c3rUrK+XXKYbbtMts3nKbLqGxjHqxjx8cMT45z+nezhG\nTc959bsLbtOM6Trl6mrJ9XRFdzTi2YMzjk4mHJ0cUPkBK6m5nC/IvrxhsdhwuylIG0GjA2TYIXh6\nTDeOsWFIozxezVM2r6+5ur5BlRmhg8AJbLpmvvTIawNhF6t9iqYir9tRSl2VlEVOk29x+aYFvnqC\nqlDcTtsOQX/QpdfvkXT6REkPpSO6ccT1i5dcT6fU6/UHaS1/bLTIW/0doNawP0RrTRzG6H/G3PHf\nW7QAJfVRNPf++x+jc0GL6/DUD80Z9pSpxjStpnyZM1uvqY3ldDQh/j2J+E8XDmvNbrQmUdrHmQZj\nDVLsbA8Ba5sfbKy00ownpyTdIaadJRLHMUVVEmnBg15Mtz+hO5gw7A/ANCyXt8xuLzl/+5zb2RS5\nlNRNyXDQp9uJqR30DyecOLDuG5qquheSybKcLM8RwqF1C9Y1ppVU1XgkUUS316ETx0R+QFWW5FlD\nWZQUqsE3Nb5orTkLZ6i1QliL3PnEO+fuvc+tFdSNoKosZVHR1ArnBI1pyPMcP/Dp9wYsFx/eDf1o\nd74QAbhWAxWhEGgQfst9VDG+V1NVOXne0AkTBt3T1i5PJAhKEBuQCiFVK1ZhbGsaLlsOrRQgrENU\nrUpREATtoH3Xys2da2UtRashHWlHrBylgdxB3lgUFttY0qzibnbLerUgTzf4YYj2fOpm92A1DQiw\nnsZ4mtR5lKnEFAJTW6xxWCSxkijfRyhJDdTGtWjodxflnmu3D6k0nhDtcMM54sAjDn2KHW3IGouw\nltI6ssZiAM/38IQgUhJf7TR+RetHLHctaAQkcUASvUvEcSck7oR4nt8adnuKjqdwxZbCr5gMQ54c\nJoxHCU1jSLRjs+yzzRrOX75inmaU40PU4QlJJ2IUeyTSoG1NlhVs5xveXK94fpmSbgqqvATnUErQ\n7cUcHx9wdHyAH4eU25z5suTtdcbbWcbttuTkcMhPHh0y7At8W3I3XXF5VXA+XXK12tIfdjg9GfPs\n0QGfPegSSkM6W7Ga3XJxdcvtsmQ0THhwMuGzz5/y6PEJviwo6y1Xlzf87ssLZpuSWek47CYcTfpM\nHp9y+uwh2cUVb75+ycXNLeebLZu8oq4twzjiIO7QnRwxfvaMcDjk8u0lF8/vuNhsudnmVJWl8RLG\nownjJ2ccP37A2eMTXq9yzm/WXNyWXH894+5uzizLsHGX8OSMQe+Y4+MDwk5MU9fU6Zar2ZKrqxvq\n1Qrf1oQIEiewRc5qtaSoDcoPcQKqKiNLwTam/f2qgrpA1wVagahSGuvIl1OyTcoo0XSDEVHSIexP\n6IYBqp+Q30y5qUqoq3vRmRZ5+4f5sffqUbv5ZFsNv9scdjtdup2Pi+H/R4s9nxgh3s2F34vvV8jw\nQ1lPuWMvfF/2c69C1lhDbWqKqmxpgI2h7g3+1T/b/WewFofdjUV2FWfToJRGq9281DT3OJh7NUDt\nMRxOduI6GocgrwryIiMJfI4GfYYHEwaT053wR8ZyPuXi8iU300uWqyXOGpoqp9z0MOMBUX/EaDIB\nP2Zxc83y9qbVcreWum7YZjlRpAkDvVurW9y3UpI4SRiNxyRRSOh5lFUNKKrG0biGUliiogXKNkJg\nPdVW9k3Tdg6du8fPWOdaQ4rKkuUV1nqAh3OtxaVzrZUoZB+8pj9aIl6tU6SU+L5C66itjp0BsSZO\nGqLER6k+zil8rwNCoLUmCkICLyAOQzKnSKWPwtGxAcZYlk1b5UYaPAfWKKTVrfpO1NoYer4mymuS\norkntmNrsDWec3R126bODSxXKVfzNbfTW2yxpSMb6mxN7VpIvJAS0bQgsMKAdRAUDb4ucI3DqRgX\nezidUFvDxhqE+fBuWEqF5/v3rilSCgLfw/c0oioQddEm5Kyk1po6iRFVjSxKvEDTicNWVL+qEHWD\nbXZuML4mDgP6nZg49MmrisoYulHYVry78IcxwTDmYHLE4eSEqN7ip7e4IqQpE6SAunK8fbtkudqQ\nuQDv7OccnHi8+Nv/xvP5F3Sspecsm/Waq8tLvt0WpNsSl61wmcDUATax9JOYEyHpRz69ns9g0GV0\nEKLNhvWrW6ZXc7755jVvp3PqIGByMOLk00MePB5TrDbcXG14cb7im/MlRDFnzx5z+vCYx08fcNhx\nKLPldjrn21d3vL3LoNPn4WGXT56dcnYyIQlD8qLmy4spry9vuJyuuFnVRMcPGf3yjCAOqCKf/15b\n/u7vnpNdXLB9dc62atgEEf3DE54cT1orYpsAACAASURBVOjEERfWcl4ogv/nC3CG1du3pJuaOh7h\nDnocHxxwPDqgtIapbbieV/x68YrL+Yq3twvSVUplFRwc0g1Djk4e8NnnPyXsdJgu59zOblleX5HO\nZxhr6SpDHWoalxAqRaA0jYDtNsc2ltAZdJnSLKZkd5Z8tsAikElCGAdEsU8UeK1yGnB6+gBnLJ1u\nhzgMiUKfKNREnQmxOmY9W7Jez+gdjlFaYa2haUqk9FoE7UdoSHvjgbZV6CHlf/yK9w/Ffia8F/34\nY0LvRlz7cPAdNbT9eGpfbe8TdBQKDkcaZx3JzoP73zLSPCctKqy1OGfwtWoRylrjK41SetcBac9Y\nSomnFUJAXTfUTYOnNDJK0MND4iACzyctttRZSp1tmC/nrEpDvltbfa2J44hOp0uvN6QzGKP7B+AU\nzjryouJgFBNGAXlRss1ytPRQUlO5isZUSKFQShF1e0wePmHYjUk8SZzEVE3NbDajrHKcs2jd/q4U\nYJXDuqYFHNoGW7W60lI5hLBo7aibmuXK4nsS7UWEQUAStyI4N9MV8GEt9B9PWWub44cRKA+hIqSz\n1M0M69Z0koAoDqhrKEsf7SU41L21l680YRSDaVvMWkCiQqwx5FmFaBo6niPEUTmNs7u2q+cTRj5h\n6KNlSSBaM2oHFJUjKxukcAQKnBFkBpZ5zc10xma+JJQQJAFpmlMUFaIp27mN0Dg0lRPUQtAUNbXM\n2wdGeK27hA9VWVLm2Qdt1QAUkkB6+F6rKa2UIo5C4tBHFApZWGxRYasKq32aMEQi0FWDCgL8QY9I\na7rGIMqabFdxduKAfjfieDyg14nY5BVZVZMEPkngs4NYo0chehzx4OEjnj7+FC+9wV7lUIB0XdJt\nzd284HaecTPdUkc+hz95hJ8MWf7mN7ypGk4bQ9wYNpsN06nkzTzn9azYyRMqxnHEcddjEHkMg5AH\ng5jDSUwYKqyxbOYrpm+mvHo15duLO66zisnjQ44en9B7NCR60GW2Lji/KXl5V/DtYstpf8SzJ494\n8MkjTp6d4eV3rK/ueHO95LdvNyxrTTw55PjRKY9/+oyjcZ/N3Yzrixv+4eUd//D1FaVz1FJzenjK\nwS//CuscqbV8880LvvziFdX0Br1cI+IE0emjJqeEnz5BBj5vb+bc3M2o3jynSdv2rdAeSXfC4MFD\noqdPOHr8iNfn51yenzO9nXN7N2c+b41DhFQEYUSv32N0MOLk2TN+/vOfo6Ri+duU5XLJ1ds3pNNr\nRqM+3W7SJmKd4Ps+nu+TblLKdIsAYgm6yqiXdzTbnO3FNcIPCI+O0OEBURgRRiHW1EghOZwcEIdR\ni+hVHmEYEIYe3bhHN+kzOH5Lf3pI2O+0Tj7O3o9SpPywZjHsqTGtbKoQiv8YgGi3Bzfzz7Fe2HPx\n/ykhdwCuPYqjNjvDjt1xvF0SVqK1ZxQ7m0URaqIwbk1a/kTguT8mTFNjTMM2K1hui/vP6ytH4DmS\nIESGnRafIkTb8RQtJVTvRJnqyuKsQWsP3/PxpKAOQtIiIy22bGbXbG6vmGUli6KhdKJ1N/MVURSR\nJF2S7pBub0jQ6ZCnGYq226e1Jtq5lSmld5tAD9jdi0oAkiDp0D88ZtRP6Kp23j1fLqmbks2m9dX2\ndYBSejdf3mkwNA1109JKfb/VVojjED8IaOqq1WFXgiQI2srfOaqqYLXOkKL/wWv6421RhcL5MU3Q\nBSXJ6pzpZcpmcc2DkyOOjroUpQEqauGRyYimlmTbEiHauWpaNyzKBi0EZeARBSFxZ8jQ13RlhbY5\nm42kyAsa69gWGWVTss0UTWOoa0Nh2kq2Nq0D0/4ZslIhA5+DiU8UdTFlibINmNYHc7Va8uKrL7h4\n8xorFU5pPN8n8H1sU1Bme1D/u7Dm+8YJ3w3rLHVZ4qxFe36r1Vu1+qw0FmE9ciXZ+B5OaGwtEM5D\nejECjcwsZycjPn/6jHGvR10bfOUYJ5JhrEiiAN8PKQgprEeebymKHLkDHqBLUCXbsuHVm+dUm1u2\nsxtUXhE2GktIroc0p6cMH0ZsG/jyzVteXf+a16/fUFWQZTWbbd7uWivDQb/LaDhhmubcbDKijkc4\njFg6wz8UJS9Tj7EOoCnZzO/YzFek8y1r47E8eogNEvTZGe5owu9MyVevc24ucm6uV7jOiOhXT1EH\nA8rxgOeV5JtXczazWxZvF2y3gqLzgN7okNOnnxIM+/w2K/ib63OmL18wvbjkNrOskz7jwwknhweI\nbo+buxnbTUq62TK9viFdrxmNxzz86adE3S7ECc5afvviLdvNmtly0fLIw4juYMJkfMBgOEJEEQQ+\nF1c3vH75htl8xmw2bxdcIen0ukTdDta0oxXZ1KRX53ybpWwXS8IgIF3PCJuMXujhjXr0epo4tjSe\nR1MHRHFMFMbgoKoqPK0JfB8lFetVSicMOPjkKXGnQ9TvE/aHhL0RjTEsrt/g6pwkCog7MdLvIP0E\nHcQo5VM1Net0wezqmptvXuHpLkeP320i28q4+mh7up2h/Uu1tf7tYl/Bt+IS3j3F6l87Gtcqflnb\nYE2DExL3nilDS3s03wFwKfkOeCrgOziSf82w1jC/u2Q2PScaHDLuH7VAV2sptgtWd3fUvge9Hkpq\nmsYilI8Xd9CeRrsKBQgdIVULFHXOUhVr8nTOujCsCsPXX37LV//4a0Snjz8+JAhCHj9+iIdFq52c\ncNCjcprs7prt/IZRL+HB8TFZsWU2n5Nui/vzFoCnJVGoW7ljAcbVrIsC21Qsy5Tb62uurm6YzRcU\nRY6nPfqd1kjGGENZ15itoW5qmtpgrCOUIVEU8atf/Sd++Zd/zauXv+Xrr/4ez4vodSfUlWHbicny\nnG2WkX7EgOnHmxErDUGCi3pUzpEVDRe3OdO3c4QcE0Uhja1BSGrhYWRE3kjYue8AZGXFOs9RUtLE\nESMdcpj0GXVjYraIWlM1lrJp3W7q4p1N315vdlXDunbvIdraG9oLNEEQ0ulFnB1HPwCS3E1vmE3v\neP71N2hP4tEQS0XiC1LTsMnN7mhix+3lhwK23wtnTEt1aJodEEJT1TXVvXuObrWt95iMGpT0UXHU\nLoYGTrsTTv78r3n66BEAiec4TgzDcC+359N4YyrZ5eLmkuu7G5Ty0Tqgye5otrds0il3N+cs0xnz\nzRwvd/TKkLAToo5HRIenDA5OKeZLvvov/zu//ru/IU0zmtqR5RXrzZZOp0NeGw57MZPxAepuxdpY\ngk4Pvz9mmWXcrGeoCvpGUW1qpq/nZMsFQgp0lBAcntA7PEEcPaDp9Xl++ZY3F0uWVznLecazk094\n9vO/QAWCQlluNjmvr+84v7jl4vWKKI44e3rCzx5/Tuenv0BozW9/84/89otz3v7uK2ZXl8TjE/rH\npxw/fMzRZ8+4vZsxvb3lbjrjbnrXynMWBd3HZzz9q1/R6/VwzvHm1Rv+/ouvuH7zGpetCQKfycOn\njE5GHD3+lIenZ+R1Tppt+N2rt3zx5dcUWUax3TIcDRkdjEm6HaJuh6asyLcZ+WLGdnbD8vqKl28u\n6HRijrs+sYJu5BPoLknUEAYWowOsiUiSDnGc7LyXc6IwpJO0VVKW5XS6HUaPHzIc9ImCCB31IDlg\nuV6z2RZUmzlHhwcoXxN0B3jJQXsvOkfdFORFymI65fb5OYPJGbZ5l4jbivfd8/jRZ13I3c3/Y6Gi\n/1CS2otbuPsKXmvxEU7znz7hGdtiO5qmomlKlPLQOngnl/m9KltJSfBeO/vfTDzTtYYQi9kVr1/8\nhqef/yWnD55gRGvuUW1uSee31B4ou0Ui2g6lFxGNDvF8D1FtWt357gnhjrFhbUO+XbKcn7MoFPNC\n8eW3L/i///bXHDx6wkM/5vFkyKMHY6hLNqs1KA+jY7IGNtMr1nfXdCOfycGYL7+Z8/byGv2+JSWg\ndQsm2yPPa1Ox3m7J6gq3vGN2c8PNdMp6s8XUll5XEwYh/W6Hoq4hL9hmOU3d6jE4a5FCEfgxP//5\nX/Kf//P/xt/+zX8h377BGk2nM6CuLFHgkW4DhFCk6Yf1pn+0RNztdDk4OMTvDEjTNU1V8OTJEx6M\n+iT9ETbqgwuRtg9+lw9p1PRCn3Hst60a5YEUrNYLimyFRw22JM8rqkagPe9+9oqAyI8I/YiyKCjz\n/AeVquf5REGEp/0PPpBxkvCzX/4lw4ODNnEoSa+b0EsifvfVF3zx5ZcoKwhQlNaSG/PH6+5KSSPa\nhUF77SzvY/H47Iyff/YZSdzOiA4ODhgN3gE3KuO42zakpcPXPkpKSvf/cfcmMZad2Z3f75vu9IaI\nFxE5cSrWpKyqLkmllt3uhdFGw0DD9saAve1te2N464XXNuCVt94a8N4D4GFhC7akbtlWS6qWxCKZ\nKhbJZM4xvenO3+TFdyMyk2SyWFRVsdQHCGREZr77brx773e+c85/2NP5PeuLZ7SXp4knOo609Y6u\n3tLWa7p6zWA7rPfkQjNIzSqfcXx4i8bCT/7kT/j4Zz/jo3vvYzd7tEu+qt2+5jR4suUBuVdcfvKQ\n9/7mfbbbns2up53PqFcHNH3P5WaLUBmz5QECsEFSHN3ixskNDlZHqNkcYXL2ux3PHj/m8cOPefb0\nIQfzOd/+4e/wxje/w+3bbzBsTjk7e8jDJ6d88uScZnDMyoLD1YrVfIYdet59/z26ruODjz/m7NkZ\nuphz44230dWCzGiePn7KdrPBtsmEvB09MQRu3rrJ0dEhx8s5frvh9OwZ2+2Wy8s1ueu4s5qTHVWY\nLEfOKsa25fG992g/+imSVGGJ3Z6TDPre00eLbNa0scGvc0aVobMMk5k0YzlYMQ+BSkAmAjEI9lIz\n6goXJPVmzeh7jm8dcHj7mG6w1PWe2dER33r9DaqiospLhB+JtqUqNBJPW+9om4ZyETiYHVLmmtxk\nbLqRH//lu3xw/wl/7/f+Id/53vGkfvVqB55fPJIUoLVfTyKWUr00q7w+q+sZ9tWTeaVJ/+rzvZp7\n/qrOMyVg9YUguPg53GQt5a+0Ko7RY/uavtsRlMas3iSYimbsyLIydSOLkqoosEPD5fk5SiZf6qpY\nMCvm5NUMO+QQAyqfIZSiH3vqZse7P3mX99/5C1oXaG1gGDq+/6Pf4+jkmFvHS964eZNv3L6DH3vW\n5TP2TcvjD9+nbmrqy2fsNhestw2bXc0wDMzKkhBe3voZnSFkRt/3dEPP7vwcIe4hfMC3LfVuj7UO\nozVlrpnNShDQ9gPb/Y593TIMYwL4mgRUG4aB09NLPvzZ+/z1j/85Tx8+ILiczbbh8ZOPsd2I73qs\nDwxfhJT/lV25nxOLxYKT41uY+WHquQ8tN996m1K/zdbCfioCv+jWWhYZtxclUWkuvaAeHdv9Gje+\nvEuXSpKbjMykHZgQgnK2opivGJoNvVx/poWWqYwiK9GveOiq2Zwf/O7v8f3f+RGQdqmrZcXBosD5\nno/v/Zg8CBZk7J3H2vHaiOHnRZQKh8BFEKL64kT8+uv8k3/0j7h5nCQ3XQgM/rnQ++AiTe8RROa5\nxGhJM+xpuppufUa3PmO3vWC3u2Sz69nueuq6pq73KCXIckNVZfRzhcln3F7dZH16wb/4f/6Ed/7s\nT9GjxfhIbjRCKba7msu2obj1OoVXnH3ykLMPfoIZItkgULOSs2VFO47s65aYVWSrG5SLJbOq5GB1\nize++33u3L4DQN3UvHfvfX76N+9z9smHbE8fc/wP/iHf+uHvcOvm69y+9QYPdpecnZ7z6KOP+OTD\n+2SLFTe+8S2OVysOF3Pc0PHu/U84PT3n/PyccRw5OTlmees1IBnUP33yhPXFJRWWCkuoDojVATdv\n3eTv/fB7xHpP8+QRpw8f8ODhQ6xzzOYVx6s5i3mFNDlbr2m7lif3f8bpds3MaKrMIBczjmcVgwz0\nwVI3NftmZLSCcRTMV4csbp+gZgs4OKIKjpvDHoHnNErqmIHJCE7SbS7QdctrdzLu3D7m0eMzzi82\n3H7tDW7/1vep8hllViL6HaG9wA977NDRNh3d4FhEyeq2o8wUWZbRdZYPPvyQ0UcWx2/x7bu/QwgO\n54bPv+G+QlxVmvDznb9+FaF19hJ3+fl5BZwbCeGz/P1Xn2/xucf6ZYSUXy7Jf7pCvuIm/7JEVj4v\nEop5S1ufEaQmW72JNyXt0GJMRpHlzPKSqijZNFsud5dobVguj1kqzaycU8xWtLrEB4/KSoRU9Lbn\nYnPGX//kXf7wD/4IHwZ8HPnuD3+f7/3o3+CoyjjI4PWbN3jrre9gh5ZCS/oPP+DxR/d4/OQpddOw\nq2su11v6YWBeVVRlleilL2gzaJ2RZYa+dwy9J1ycY5sNMSabWus8zqVEPJ98zaMQtFPRsN3uMVqj\ntcYYiZRQ73vqes9HP7vHOz+u2O4bgs9Zby65/8ljbN1ixmQopBYzRPYbJuhRLG+A1DhnkVphqoog\nYZTJ3CN/de5BS4WWBq0FjUgcLkdqJZk8R+mXfy0pJUVRkZsJISxARME4Dsk79IX8qKTCTPJ/8kuI\n0kspE2xfK0Yf2ew6Aor5fIWtO7a9xQLGmOSYNIwICVmmpiG+JwbQOs0uQkwgBiGSWIP2I1nfIjKD\nyA1xsMTRJgOH4Hn47l/xhyYyq2aE4BldmmVcKXRd7foBMm2QQtL1HV3fYbsG1zcQHUTP6ALWJp5i\nAiRYrHUoJcmyjMdP1tz/2UO6umX/+DGFgJglc702JNMJJxIKNHZr3MWH2P0l1kasDXQ+YKzADBGp\nYHWgCRKca1C9INMRNTZ09YbzM2i2a7aXF6yfPSW0O6rZDPPG2xRZjt2sebDecP+9dzl/9pCzx/ep\n65ZZVZIXGu162mePeHj2BEiuVGboWboeOw6oi3N8s6cwmlJJfBxRM0MuA4XwuDDgmx3jk4c8NhFf\n17TPTtnvr7i0gbar8X7EuZFM50gvqcZkxRaAUSsoMnSekecZLCogomVkriO2HbH1iJoVZEWGKHNE\nNiMXDuUchsCxyVnqAq0lYyd5sKto/Iie5RwfZOTVN7n5jbucnV/w/h//McvViqPjYw7nBYezDG8y\n/NgjnMV0LaZvkd4RTYYxijLXLIzGC5hpTa4U0QteTE3WBxrnGHz42prLv0ikhJbQ3Vdfzg3XVWYC\njr06ab3Id/50ZyBtUr7SWU2V+S8/WUbSBvyLrs2nhYG+9LGDx441Q7dju7lgt9vQWkF0Eis6uthi\n91vW6hFdvWXf7BlswrX0fcNoO3rb0jvL4uAYZZKGwhglwXv27Z56v+Gt12/w7/7jf5v15pL1Zo0f\nR97/V3/O7//uj/jOD/5N5lVFs7vEjS1aQxSR9XbHs7Nzur6n7wdGO6YNiVYYo+jHiHMWp0GHK+pS\nWosPDpbX98Y4pq8Y4/V6LiZf86HviUCRZYiDeboXYkSpZB9alhqlPBeXG/70L95JpkHWs9nsGMYB\nFzxOBBaFYXm4YN9+/lX6+hLxwQ2iMjhrkVpjyiotXiSg8Rep2OY6T3ZswdG4HhcSXUAqhfmcm00J\nSZGVFPrFRAzD0OOcu5rgAqClJjdJ9u/L+W4mWlWWZYzDQD30hKhZLA65HAObukcpmUQ4vJs0TqEo\nEhPJWov3yb0liXyklqiOoLxD94IMiViUSFkRmpa47xitxTnLg7FhffoJUSSFr2G0SYLzJYGQaxXY\nyVw7mVRccUIPlnOWyxnGGIxJcxVjNPu6Zb3eJMUvATpA5gMmJNWuUgrGXDGIQN87Rpvg/plS0G9w\nFz2u7rCWyfHJkrtAOTiWi5zDg6RAs6tbdBfIc3GdiIex5fT+h1w+fczQD0Tvmc1X6PkheZZjN5c8\nevKYR48f07YdXdeT5xmzWUWRZxjb0WwueXZ6gZCS+c0jssywdD1+6LD1HkfEzMpE+8oN+TxDK49W\nFrcdsfuB4YnjUbvB7luGizVBCpgXQKDrWvpOMA4jM52x9FB4n+RMhWA0Gl/kzIuMvDBAhTAGk2my\n3LDd7VnrHbpMiViWBbKqyJRHxYFcBEpVYHRJkSnaXvP0bEbTDehZxvFhzq3Db6IO3uYP/sf/iXf/\n8I84ee0mr337TfTbb3Nj8Q20yRiEQHkHXYvpWoT3kAmMkRS5ZpkZooC5TgIw9lPP0BgCjbWM/jmS\n9zc5pNRoneP9QIxXyfj586CU+TnOTykRK2Vwjs8k4q/Ssk+a7QUvcqh/WRFjwsC4LwDGZSolwF+0\njg/BMXQb6t0pm82G9WaXEMSACy29LRjGkW4c0toVA94mZ6N+aGi6LZv9GXXbsFrd5Hh1QFHk9O1A\n1w00fcfoLG+9foMffPct7n/ygPv3H/LOe3/Du3/5Dj/8zl1+67d+G9vXfPTBT3CuoygMiMh6s+Xp\n6TnW2YmJEjHaoJVCGw1EnLd4PzlhuVS0GaOpyoK269nXLeNo6fsxzd6LHKXS2u+9p+9DMtvJc8oi\nm1yUepTUKGlQJZQFnF9uePDkKWVRMCtLun5gGAZ88CBgWWYcrJbs2+3nfs5fH1jrCmggBNkr5rCv\nCi01SioQYMhR8YunrwKBkeZzZkQRJRWFLq6TsZapEv6y5tcQ8d4zjiNu0pIOk2NSnmWcHK+AxAmW\nUhF8RMpIWWQopZhVk9CBem4BxkTcjyGSx8mqTAqctYTo8CrJqkmd4UWkaVvidOM475NLSniuLT06\nRwwBY0ySvbQW/UL7XvQjUSpsNmIzSaEzpMoorOVYa4YQ6Sf5TuEDIQ1JiFoQlUcQ0FmiJxRSU+rk\nKJVniuViBqFCOof2Fq8ETkuMkXgvGUbPMFhGpVBjwG9ravczRPS0pxd02y0jLiVNF6Ed2cxn9POK\ns/WW9WZDDhwbTVYoTAmlCVQq0hpNO1/ghYBplyuLDKUlxYRK7Xxg7yLKTMhTPcObOXEeESoQs1RV\n6rkkkwKyjDCfE0WEoUUGj1SKMDjWl1tcP6LnS7LFjNlCU80NZVFSFjNmVVLbwSzALPHlAbbYoWLC\nD4z7Pc22wbmeZ8OWXCsWK0E1VxgtGccBKS2rykNbs35wRvOgow6fsH34gMNMs6pyDucl280l//L8\nEjf0uLah0JLDqqDMC6KSIBUxKyGvEMogrJ2EIz7bdPU+MI4uSb5+yafilxXPJTGvEmK8rlZfFXLy\nl3UeujEk1zbbkxszuYpJvB+vjy2EmNSirtaReP1en590v/yncFVdp/f51fK3vuisrpDXV9dWCvGF\niTkEhxsbnO2RUlNUR6hdT4xbiiKjzHPW6y2PHz6iaVuarpsUvwJKQqYERidxISUlblzT1h4lLXN3\nRFEsOChXmHbD0Ndk2kw005KDw0PuvPkWPYaDk5s0w4hEMTs4wY01gpEsyzg4WHBytMI6xzAOtG2H\n1opbN464eeOYzXY1zYw7hqG9/vyHcaQbBsZhxFo7oeRTJzbE1J4ehXh5Bq89QsSUWGPSqI7RUxaC\nspSE6BldTHlg9AlkO6bWiZjMgcIX+Ah87Qx7KSSZyjDqC3rRnwoxKfoooVBCvVTRvur/v+qO02pK\n6p869peNpNaSqtOr8D5g7UiZ5xwdHOBjSoZSqedORrmhyHOqskRKhZ2UaIzWSARN19IPQzrtCME5\n7GjxeEIWEUIjRUacfIyvzkVJiTTPz986x2jHSVQhp9AaYx1hvBrCCwof0L3FxsgYI3K05FgqpTjO\nMjoEGxsYialloxU+N3idWt8yCjKjkFowF4a5MiyyxNeWImNW5My8Y+Eduxi5jCTNY+vo+55+cATt\ncENgH2rEs0+QXYPuA9jAaCJOR8KuJYY1zeoYPx5Rb2vqpmFRlrxWzRClwBWBSgUOAVMUrFVFD6A8\niIgoC7SSzKsSlOLB+Y7TbctRFKyEwKs5MZuDhjhPhNIoBMXMszheIvISOztAIShtj7I9zo+s1xse\nPTljXbfcPLnNzZu3WMwdR/OAURVazzAGMuMZ1JJB3cbNLXbe4Pcb3G5Ns9uy3u3Z7fbsd3t0WXH7\n7ZLlSZ4SpB+QDNyoRmj2nH74lAdnOx6c7tDecWM+4+bRATeOD/ng/iN+/NfvM+wach+589otvv2D\n77IqKoJKiSFmFSGfE5VBfMH8NiVii3P+M0pRv+oQQl7bJcY4kBKxmeRxX/Wa9KfzkW4IbJuWXbNl\nWZXkxqCVnxZf/dKxrxLxc/T03/7XTeefeKy/JobR54b/lNzmFTf5VWtd8Jah22DHlnJ2Qjk/QGfJ\nVnBWlqwOlzx6+Jh7937Kdr+nblvGccRaR1UWHCwX3Dg+5PatFYURBL+la1tCFEQqlkdvcLi6QbvP\nafeSobd07YiUisVyyZvfrJjdfovD23dYNw3zomB5fAfbbemaU4o842R1SHerY3CWumnSJkAJ7tw6\n4bvf/gabXc9m0/DoyROePHt6nQL6fqDtukmLOiGolUouUcF7RtJ1l/KK+ULi2IuI0hEhIsM4Yq2n\nKDRFpSb/aUXTOOqmw09Wk1IJtHhuU/uq+NoTMVxRiX7xu/QqwX6V1754jL+NJVna8Sbx8OuZg7XU\nTcdBZsikROY51aJidXQDaQp0lpNlGX1bc/7sMZtNav9mZclrb95msVgQ799n2NaoIkPmBqEVygVC\nVISYIYVGCo3zHmcdWivy7LOdBe8DVVkQnKeUEkPELQNuJolREdAYmdyWlI5oFdFR4IPERYGLEY8g\nmuRxrCOgFS4zSC1QURInNXkpJJnM0DoDnRN8TmZKiqyiHHrKvsWanDKriNYx9D2amsKDyAqKwwOU\nkrjYgncokyOlwZQaMgmdQ4yB6qDAHAhW+Q3Gk0MWSpMZg1AWrQakj3SjJBjDqioJUlEIj1ECmeXo\nzFDqRCwb8znFsWOVwUEGA4aB7IX50Ujfj7RuZPQj1YFlPjMUJsegiNHgvEUpzeHRAbPFjDeOF9xa\nFKjMI2LiHY52TXu+oWm3RNGC2rAfPbt+gK5BdzXOjgTvEN4nZTTf0p6e4tseGyNSBY5nkeXigJsH\nh7w+W7K+rAlti9AyteScQ7Utj8Ya3wAAIABJREFUylqMUlhjiDL5CCs7ouyICCGNQvICU5RIpSfT\nkyQm8Wl9ZB88o016wr+uNOxDkqBV0oNwyGlHemV0/+XoyR6jBbkxFFmJ0fl1VXTFcRbCwWTR93LE\nr5SEP1vBw8tSoPFT1ferZ9YJ3+E/59zEL1xhJ/pkvBYGEaS58vXP1/Pz5JoUY2S/29DsLzj0gnJ2\nQKZhOa/o+4GHD5+y3e5wwVEWGVVpJp/fjizLyUx+rUrlffICkFpzlAUkMHQNrdZ4N6Rn3nuaruXR\nk6c8ePQEU83JqgXCO7z31PWWsd7Q7C+pd5c8fXpG03aMdqTrU5vb+yQc03YD+7rDu+RAd3CQKIeb\n7ZbNdouf7HQj4H2S4ZTqOW9bKZEUs+RVRSyTH7yQhGgBwepgRpEXCNljxw6JpCgkMViYXPdGa5FS\nkGWK2Szn8GDG2cVvmMTlv05hjEFrwzgOOJsEP/Z1Q2kMykfKLCdbLFnefoPVa29RLQ7J84JPPvwp\nDx8+5MGjJzjrOTy5wTd/+4gbb7zJ7ukZse6QxmCyDMNz3d4XnU76fiD4QGYylosF2acQ1pFIDBGc\nw7Qd0g6MS4nNclwo8D6/1rfOiESRtIm9tQyjI46OkciYaUSM6JBQ6DIzeC15UbJNCIE2GcJkBGVw\no6GsZlTlHB0jDB2qnJGtbuBGT6gbotQIAqYsmd84QmnNICwuKyCbI8o5+bzCFBnDvsV2HScLz/Ei\nQP4m5DfoR0s7jMhhT9Ynt6DNOKC14mRZkWU5kojKc/TiAJ1nqLFF+JHqpMLrnDk9VRzYNZZ9Y5N+\nr/Nsm5Z2v2PftHRNy41xyWoJlVkQKRhCxI4eJRWv3blJZRTfXMw4qTSnXnPhPKPdMIwbPv74nI8/\nvqAQhkpltN6zdx5DYAbkZY5ZziiMJiiNHyzjs2f0Z2c0waOKjIO3X2N++xav37jJbx0fcHG55352\nypWib+wHwnpDEQInRyvqssJbS1Fm5Ha4BmtdARuzokBqlXisITB4d92SuwrvA4NLAMBf14zYB+ht\nRIqETzBKXN//3o8vOKy9OqSIVJmEWCKlvjZbuYor5a/0/S/n93pewcfr830x4uRC9Jx/LV5Adb8c\nVyCz+KnRW0rC+S+UiK9CCUGmVJLinBKxUOr55FoIpNaECNvNlssJ7CgYyU3g8HDJ/Y8fcf/+I+pm\njzGa5dGCw+Wcuum4WO8ARZ4VFGWJVIrRDmx3HUobjlcSIyXd/hLb78lzhVLJhatuWz786D5//hd/\nxZtvvsFbb75F6FpiCOx3Fzy7/x7riwt2u5ZnZ+dcrjfs9jX7pqVte8bRApH1Zs+Tpxdoo9BKs1zM\nWMwXDOPIo6dP0RqKQjGO0IdkXqFfkGpVCrRO8pUASgryPEcKTdMmf+GbJze5c/s2z06f8uwscZaL\n3CCFxWjLvm5xO49WgjxXHCxLTo4P+OmHZ597XX7jErEgIqNHRY8XKrl0/IZHqp4SNcjMUuvT+8DO\n9qjR8sbN27z22jc4vPM6s6OblLM5eV5Qzub4GOmHAWeTbGCWV5SzJQ7JruuZZQapFcWsJJ9X7OuW\npmkngJjBWkvbdoyjJfiA1p//eQnvkf2A8haDTGCDAMSA0BqMRvuA8p5RSAZjMNqQVRBGixgTuEtK\nRZYZ8jIHo5PZRkhfEciyDG2SKlGM6UEoigypDhBFQbE4RK5OmI0ttrDYosSWR5hixuL4EKUUbRxo\n65xWZIzCEL3DtZa+aRjahkFHfBbReoHGE4Mljj0iRJQpIQiMFxhjKIwmL3KkyRgjXF6u6boeaVuE\nd1BUiCxnG0ZMHGhbS9vZRDdzlrppqeuGrhvo+gEhHJkJzMsdKuR4G+n7HqUlRzeOOFzO0DHQ72su\n25GH7cAwbOiGLadne3Z1j9ceYTy98wx2JMbUKszzJMMapMIpyUhEurQDNyEggH5Tszvb4o4WZMdz\njIgv8UedtfRNS7ABrRRVVSJEwazIMBIYB1xbgzH4ZkvoanAWGT2Fb5jbDU14uVEdryvRX19bWgrQ\nkkk0P1nMKZUUkT4vwX1eCNLc74rzmV7/YgL/VfxOceoQXRlciE8lTHFdNT+vjF91Dslc4zoRR48I\nFh8iPiqkMkkFzbwa2qomE4owGU1caWD7iQIVY8QJgSde+wu7cWS/Pafeb+m6lu36Eu8s1nrabuTD\njz7hvfc/QEqQMol8xBCxEwNFG0VeZGit8SHSD566CYTYUeZPiAGOjm4wny24rNMILk6gVzW1zAmB\n6CzBWYK39H3Lbrfl9OwZz04vubjcsNltGG2PIGKMIpKEYy7XG5zzlGVGURiEMAihadoW5xwCgZsK\nYGPkZIjzwn0hEkZHKcl8nmO0ZhwDXT9MQNjIbt9QFBtG68lMxWJeMZ/PmC9XzBcrPvroI37yk3c4\nPj7i+z+4y+G8ZHyVrBa/gYkYIiaOZGFgkMVvfCK+cl8KIbCY3IzKwiCATd9zaR0rXXDy9ndZro6/\nUNRDTPPyTOf0PnDZ9UQhMD4kS8JZxXqz5fT8nFlZslwu6Lqe7a7G+8CF2n6uj+l0oogQMEJwMlas\nRkFkIGJhViKMRntPOYworYiZIc9z5mWOaFrqy01CYpclZlZSzcpE2Zp8lEeXKqnMGDL9XDxBaUmW\na5jPiSYpQR3M5jCeQ3GGnWeM/RyTLVisFgghqaVjU2ScNp6hGej3O1y7p943dF2HGQ3GG4pOUVSg\nu4FZ20JeEKsZIi8QIlHRpFIIbVDzBcO+5qMPfsbjTz6BEBBEVKZRWiMJCALeJ2szZx3OJvCb9x4/\nbTjGcWS7bSi1ppIaPfmdLg4XHJ8ckeU59WbLxXrDR+sdH2329H1H33c4nx5uVWSoskQPAwqP9BER\nBUolNKd3jlapSeQ/LU45STK1u9jwZBzYrHKGoxw3vsz3ddbTtgNDTPdmlhmqsmCRKbQSBGcZ6y0h\nOMaLU9z2nDD2qOhZuB0n9owgZjTMfjkPyFcMJQVFJrE+MtqIE5FCSKT6xcdIRj0HJgn51cdQXyau\nuMlp/nzFC37+nkKI6e8lzo3XFfmXiuDAtoShZxgsyJzZ6vYXJ2IpExJ+AnH6CUwKXDs8jd4nVyM/\n0DU7dufP2K9PaeoN3jl22w373Y59M7LZtrz73k955yf3mM9L5vOSzWZHUWTkWdJ3Xiw1RqdrZV2g\n6wNNK+i6jq79gH19yW9Xf5/lwZJnp6c8eXrKndt3ODk+4ejwgDu3brCczyYQXeK0j3ZkGB2b7Y6H\njx+w2W6xziKQ5HlBnhn6IQHz1psNF5db5vOMqsrwXuK8oG0biOBcxAeHmQClUoppfp82RM4HxsFj\ndKpk81zz6PGezbZlHB3BBx49fsx6u2a5mLNYzDm5cczNkyO+c/d3+e73fsQf//H/zYOHn/D2t77D\nv/cf/MfUFxf8wf/yP7/yOn1tWS54S7fbEHxPnke0TmLawVuYHC7aKGmDIiuPyIqjXznq8KuFmObE\nEq0VmUnuI0ZrOgGdczgp0UWFzgusHdNC79w00xATtSG1iYw2qZWqDV4mJLTvB+pdjTeazWZHU7cE\nF4gR2rZnGMYEpPkSYVTyOpUI5LRAKQkyRKrMUMzm9ONIXbd044j1lq7tqduO4AMuJPRlby1aqYmy\nAHmekRc5WI9v+5TAQkCHVGVnswVZFfFaE7IcEyK50lg/sN/XON+x2yX5t67t2Lc9F83Ivh0I/R7f\n1XTdwDAOXGLwg6YqArN84NZizs3DJaP17LcbirLkYLWiGx0Xl1vGyy16sWNfN5yfPmN9cc5VkaGN\nROm0KxZi4nHHmLADyEmT/Lm3qnOevh8ZpMQrRTZtOLSSNJsde6Oh7WhHy7pp2Wy3jKPFjg6jkr90\nhkCTFkmjNQoPPpJ81CzCBzSCoNL9pKQkhLRLH/qRlsDY9QRnkQLyTON8mECCnrYd8Vmam+uyoKoq\nDgrDzUJxUBhUs8X2Lb7ZEcZEDSMGRF8j6zWmzMmLDO8GvOvx3tKHQO9DsojzEXW9eP1qQohUzcUI\nXqbP/qu+3dWxfh3xfHzkiTEZZIgXdKOvqvAQPEPXMHR7yrJCFhVC5Qid4ccGP+xTJSyeI5uDG/B9\nix8HovNII+GFrX2Mcdo4BrROuI84Vb4hBHxI83Ap0/2upbz+965v2W3O2G/O2a/PGNo9WpC06YeG\ntmvZ7kY2mx4pBbfv3KDve7a7/bT2CIbBTfcpzGaz6bg9ddPQto5+8Ax9jxCCi8s1RbmkH1JH6Ooc\nITFMIqmFP/Rrmt3HXJ4/4fGTR5xdXNBMwDAf/AS0Te3l9DlLEOkz7vqB0Q6EIAkhUUPl1K0MY0g6\nESYZQKRpX7I1vLJuTNcvdfYE8jpZhxjoh4FAoCjSaG8YRja7PUpn3HntdW7evMVyuUAS2W427DYb\n2v7VIjlfWyJ2w0C/OcN1FxwdeXRlGbqaYegZRIYWenLiaDm4+buY/OA3MhELkXw2syy71qNWWpHn\nhqzXWCOJBMZxwNrxGmxibUJbX80nvEgPrDFZ2uEVeXKJEmkRPjtf016s6YcBO3q87+h7e12tfdnw\nMbK3I7YP5HnaEWatx9Q9vHab/OZNhidPeXp6gQ+eLNcp+XTJ7kxKlao6KdOsWArKKuf1O7c4LGa0\n7Zb2ckvbD3TDwLDe0p6vWS1mrJZz7OoG3dFIoT3LkHN+sebeTz9hvakhTp6rLlWio0/cSIWfqtWU\n3C/Xls0G5rpnobcc/+iH3PzOd9k9eMD2ww+pbt3k9e9+m0frLX/51+/z9OwcnScAVr3fo5TEE66T\n8dVmSCk9UTAceZ5R5gVt2+Od/wyA6dNhh5H1kwSsMlWOk4ouRJx3ICLaSLIoKIIgswEtHJqIVgoR\nQARPGC3Dtk6iBBFyY8gygxQCa/1nZreCyeKyKuj7kT6M2KkzEXWqrk1ZkmcFh4uKt09mzLVi0+3p\nBp8GsVMEHxialm6zQ2S3mBUVfdPRj3tG21F7T+MCzeCpXKQw8LcBOX7ZUFKQG3n9/d+VSJWxRamA\nUtmnQGIOO3bU23P2l6ccHiwxh0tUcYhSK1x7Sb/+MLWei0PktK6E0TJ0PTH4xEUvsoT2vX7PSDeM\n9KNlVuToUl1XwG4SnknUryyBiKZZ8eg9fVvz7OHHrM+e4OyIkoLVwQFZpmiHLU27pm4cfR944407\n/OCHd3nnJ+/xzjvvJYe4smC7q3l2eo61nsODQyKRZ2endF2P0ombOzjFfh94+vQSKQuk0ty8dZMs\nz2j7jqZrqdsWbdJIq90/Znu25+nDp3zwsw/ZbFqIiiwrGMYkTexcavGPNkLUzGc5SknatqXru4k+\nJqeCxxD8iHcBpyLWiuQtTJoNKzUB2pSGqGjbiLMRKTKqsiShg0e01miVLCjHceTp01MePPS8+fYP\nGPo+VdOLOZcXp/xf/+f/lpTJxKuVYH5uIr579+6/BfzX9+7d+8d37979DvDfkbZh7wD/6b179+Ld\nu3f/GfCfAA74L+/du/e//twbFU/fnNJu7qOiZ2gt+7qm70dWy2OW8xUy1siwRYcaE0YQEv/S7vI3\nI67mZ6PzgJ9g9AqjJJmcvnTy4gwR+mGgbWo2ux3DkCpkBKlCVWryeBXPjSJEuti1S/MJf1X98ItL\n/MQYGZzDiYATaQMQXUA6Sdv1rLuWTdsmsIG36H6qxmxSzgLSvSjExI0WjGPBrKpQpKqw2+7xzuGd\nwwnJGCKqLJgXGRdDx9njR8jo2ETLxekFT5+ds97srqv8qwX+KvEYo9FmgpNEGEaPHR1OWgbZcbbZ\n8WyXbACHpkHu9qzXGy4uN1ys11xcJODGFaI8zdE9QYTrB/QK+a6mXXC6DiptNpQgIIjh+Y5Zyqmb\ncDV/c56ubtFCMFMCUWQvVYxx4oObmOBtBvBSYoUkRoFw6Z4pqwIRwQ0WDxRaI6Ug+PB8bhsjwVp8\nN6Rxg1GMNj0XSikyo7AC/GhReUGZGeZlxrLQZMHj25qxd4gsRyuZ5q5Mn7sAgiPanrGrafdbcgW3\nj5YczMrnYKdfU4UpBOiv0I7+uuIKdXy1RsX4siDIldKd95Zx6OiaHUZ6tLAYGzFO4PuaaDvs2DMM\nHp1XZEU1ATSTL69zPs32vUNOynnp+YwTBjwl/Kutlrc9wXYEJF5ogpQEmYBUdVdzfvaE9flT2npH\nZjKKsqKqZhSFoe3m1M0etW+I0aKUIJ+c5vI8MUAyY1J3RypMXpDPD3B2TGpWMTCvZuR5nsZXWYaQ\nhn4YU3KU6rrrtNvXSQs6zyj6jM3akZkdz56ccnFxQdM4tC6m2flz9HsIAu9COn58ocU8JgMPrT97\nD/np35XiOhk/xwxIfIjU9YjWaU1P60R69l/E2QvSmr6vW87PTnn6+D7bzTnOWdq2xo4DeZ5h8gzo\nP3Me8HMS8d27d/9z4J8CV1Pm/wb4L+7du/dHd+/e/W+B//Du3bv/L/CfAb8PlMA/v3v37v9x7969\nL7Rl0Tri4zl19zGjT8bKu/2Ic5JlcYvjxTFlrqlmhqrMKGOHi5Ig8s/YC36d8eKM2I4JbNYPFmKi\nAZUBFsZwOC+ZzysGG9i3LU8vznhy9ozdfo8dLcg0TxVyUsqxjqEfcCYDbchzzaIStG2St/yqGJMY\nEzUk2sBAknXTCEok55eXPG337PYNzrlX7nfSnCu1akKItN3A48ennJ+t8YMlWMdhnnFQVczzjHmm\nObp1g9e+9312Dx9z8e5P2e1SW3Toe9q+S8lNy0nAXidz9MESwrSpmUBoMSbKAcAwCZ988MlDdnZk\n6Rxzodhua372F3/JedNSN3VCT05AEOB6QxGCuN7ZPjcvV5ipJTqMlhADUksUER+nNqdO7f1MagwC\n659viGSMlCFgvKcQAq0Mox/xzhGFIk4JPDOaqCROpi5FFIJyXnHjzdeIfhI5qRsKrVBSML6I9g0R\n1wwM6xrfvfyYVWXGwcGMdTeyuVijpaS6dUSRCcLY0fVDahV6EHlOnqUOR1CSbFZRHi5oGWh2T9hu\nLlmvN6zKjH/w3Tf5xmvHHMwMufnbEAb/9Q4h1MQbThvHKwqStc9nwS+ioGOMdF2Pc56idRRli5EO\nXa5o6prN+oJ8FlgVq+QIR6L+1E1LHBwHZglX0r0IcqMSlS96rH1h0bctYtwnTMfgISZA3K5ec3bx\niP1+x9A5jM44PDjg4OCAxXJGZjQh3EHJAjs+pm6ecX5+wZOnpzR1w8nJEbOyRErJYj5Dv6GSk9k3\nvs3QtdT1njA23Lp5xGK5SFV+lqeWLnB+dslms8UYjVKC7TTK6boerTUxZrSN5uzCYm1gtAlMiQCj\nn+trJzR6oo5671K7uB9xNgAv0+4iEWVkqmaHEW0S8NX7mLi+IgmexOipm2b6WU3vkUZXPgSEcwgp\nMFlGllmKzLHbnHHvvR/z0YcfcHZ+jlaSWzeOqaoS7yPPTr+a+9IHwH8E/PfTz3//3r17fzR9/78D\n/wTwwL+4d++eBezdu3c/AH4H+LMvOrAbd/RjR2tHRu+I3nJ56RhHRX1zwHs7aTJr8A19/YiYHRHN\nClSe7AC/Tob8C3GtaXu10MdJ0o4kYzl2Lc3mAmkMQeU4bxndyGCTsovzHoXEO89ut+Pi4pymaXDW\nEaRO7odyQn3KK75fSohXu8JfKOLVBiLdVJVSoKFtWzb7RN0JIaClQEWQJFGLOG0SBFwDHOLUGtrt\n6uvNgRKCyqRKTl+1wALUo6PZ1bRnZ6wv17STjqsyqdXNJPOpJqsyZx0hPOdqw/T+03UPgCVysdnQ\nti23ZxXZrKIeRh5tdmyHnmGcpOtMlkBoMSbv3xgJIlXH6prylaheIU7Hj0kERGuFiCBDmumLq2pY\nSVQUhHjV9iIhy51DKzAkOb1gPSFYRBKDQytJkaX718aAJWk7a62oypzgPGqqVLWUU0s2zaaUSp0V\n4T2+65HOkotAMJJYJhGVIjdkLqGmM2Moy5zMKKLvsOPAYEcciRZXTkpy1oeEfrUjjFtEaIhDTwiB\nW4cLbnzzdQ5OllQ6jQoQvxzjA2fH1ArVGm2eW//9XYmrCliQ0MlCJjRzejYDMU71afB4NxK9S89O\nDCgiWulrYRs7DNiuoapKqmnTvtmuKRxkyxPKaJC+wfkGa0e8jbTNjnjFAZaSolxgshI7jNjhOWc1\njjVh3OOtw7uQRoBDx3Z3weX6CcNgEaLClHmaL2tJDA47rRHaZByuTnDR8PDhQ07PnpHnGavDA7LJ\nCCHLMubzGTdv3eLk1h26Zsv2bEHo4Wi14OT4mOXhiqKsGKyjrhvWl2vGvqNr/bUmwmI+x2SGCNT1\nSL0fiGhu37rDervj9HSN9w5psuSjPllsiit1rOAJMUy894kv/sJUJzNplDgMI107JD/wkGbNV+JI\nSnqECNfdDHGNIUl61CkZ++u1V00YocvLc9579695+Ogpm+2Og+Uibfa1xn2BZegXJuJ79+79D3fv\n3n37xfvuhe/3wAGwBLaf8/dfGPXlffadoot3WOodWu5xPrLfe04vL7j/DJQGZSLOdTj3mHL+JrPF\n26hihcgX8BuEqE4yaAkpmWXJ5aOWkiZ4Hj59zF/9xb/kxltvs7z9Bl5IDhYzVgfLxPudkkNdN3z0\n8UdsmpbLy4uXjm9toHMeayeSuUxVaQiR4L+8+ICYWuBSpVart5EgPv/FCiiCIAgSlyQEvH/xWFfS\nnNNOcapUI6ma3NORJzQRD+8/4KMnz9jua1TXk0foENeqaCm5qWvJwS+zuZBSILXAANo6lPOIOCFF\nM412mt4PoCVFkVPkGc453Gjx1qXEphXqymEkwugcwTqkjGidHkCiwASBDGlvbV9IFlfI5isATIyR\nYXTXVXeRZWjryUeFnl5nlGRmNFjPMDi8dYgYCcOAX68JPhBfqqASCMeFQJ4ZZmWB0RoBlDKyUp5q\nljFfGkKErh/RZcHNwxWL4xXFfIkyAWGfg0WU0lTVAjzJBafr2J+dsXn4CWQVy3xG0AXi6JBCWIos\nEg8Kgm+JThNNOSXjv130zY79+pxyfsBidfLcqvTvSKQKOMNMOvcRgY/ggp8Q0SEJdojA0DXYbk+e\nm8QmkJEqL2jbPcPQ0tmesVMEvwAhaJqGpt0weIc+regKgeICYkCKQwQ53W5NW6flV2nD8ugW86Vg\nbLYM9eb6PIehZRxaijy71lk+u3hA33VomSPyAudEQuy3e2IYUSrhW5p2y+gchze+xZ1v/TZe/H+c\nnp5SFQVVVU6bxtT9UcqwXMw5XM4o9MD60DDUCq0FVZnzrTdus1qtON/uOb3YMHYNwfY8Ob1gfbFj\nuVxw69aNZDpjLbtdzXa35623XuP73/8OT58948/+/F+x2e4oilSJWzsCPuFyjCEEiwtuSlaCT0OL\nlos5J0dHbHY7zsLlBCyduloTeM27gBBpIy2ESK3zEK+5yd77CVDmJ7+AJLxydnaR+M27mq7tKbKC\nuu0YraNpulfeR79oJnsRLbIENsAOWLzw9wtg/fMOVG+f0PcZLuRYp4hBkemcqgrYMHC5P8doidYS\n75nE1zNkXJBHgzGzz3zAX3ckfqBMNlmZASUZgYv1mo8++Cm9d9wSgmKxQCMotErVzdUCPgxcnp9i\n3UjbvMw58z4wBj9Jp03WZ1cVqxAEEvLwy7Arr+abLoQJ1TlV8PHlakTGNNOMQhAkRCTxRb3hqxYO\nqc17PTWZ2vU94FyiVlyeX/B0s0MpRW4MuRBc2cWrCBqBmRSGokwVYqo2JocrKRHTLH4C0SIFZFJi\ngCxGdIyJhy5lQgxrCxFEFGRGk+cJpIIPabwRQIt0vV40Yb9ynDImqW+FEFEejAzYGFOj6wrgNblk\nSZmECiSC4D122khkWqOUesn5RiBQQqJi2jxIn4xTo3X4ukmbKpcQrkol15zcaIrgr1H5V3ScTERm\nMpBlgiI3NL2j7iyyqFgsZlTzGSYvEHEguAAhovKSLJ+TlRXeRxbLOWFfIYKj326hDOChmGuOKkV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NE4KxmHiM80VkERRvJ+x4Xt+dtVwfvvnPB8VoEU6KaATOGWM/p5zUk9Y1U11OsTpHrbu9ui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\nuuQ5G6MuYSHq0hk2LEvB1ZIFSgqWJfG0d0zzwjTNjNPAMB65ufqET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Gd4euJMwkuB1BLr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ipSOI3CFQCIEfhkRp+jhuerhapdlVDbapibqGVLekVrn82apCip7zbsSRSPgyCpl48OPN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\nGpIkYTadkqUhee47O00f/9dpR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- {
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+ "data": {
+ "image/png": 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J+QEA/lvILp1dc801+tOf/qRAICCXy6VAIHDBBgEAgHmWbjr79qB54IEHdPDgQX3++ec6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\n",
+ "text/plain": [
+ ""
+ ]
+ },
"metadata": {},
- "source": [
- "Compare the input and output image: we've reduced the $256^3$ colors to just 64."
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import confusion_matrix\n",
+ "print(confusion_matrix(digits.target, labels))\n",
+ "\n",
+ "plt.imshow(confusion_matrix(digits.target, labels),\n",
+ " cmap='Blues', interpolation='nearest')\n",
+ "plt.colorbar()\n",
+ "plt.grid(False)\n",
+ "plt.ylabel('true')\n",
+ "plt.xlabel('predicted');"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Again, this is an 80% classification accuracy for an **entirely unsupervised estimator** which knew nothing about the labels."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example: KMeans for Color Compression\n",
+ "\n",
+ "One interesting application of clustering is in color image compression. For example, imagine you have an image with millions of colors. In most images, a large number of the colors will be unused, and conversely a large number of pixels will have similar or identical colors.\n",
+ "\n",
+ "Scikit-learn has a number of images that you can play with, accessed through the datasets module. For example:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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sTt0iTWoAq1Nkz/OEoPP2c9foALY4KP6f0BTxxPtePR1IFeHJqPOFGQMwycs5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WyhqS/MMcodmbLEbooUmvF4QlbM2pFmMSPhZj9IzpWeBlvuFKXQYHMG/T6NWo00y8hnRRBK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\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qD9RCqAhFRxFaW8fiIdQ2XSx0hGIjFA9P9TvL/OlNHq6U2J5HC7CR2NLDBlpIHMD2XGzP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gd2iqYrUq2U+LMfv83LX/55RmQwAxXNHrB//2MG/SHV2gTFUhnXD5AUnTAcf7CNgxfjJHwSP+Jd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f4upXKJZ8/OiGIJ01DYvnGVUknD90YEbkoSh6RSgqnr1Ot1cvkGrjtjOrngrR99g3v377Gy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\nwoQJEybcBvw/tvEx/kxdKmsAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.datasets import load_sample_image\n",
+ "china = load_sample_image(\"china.jpg\")\n",
+ "plt.imshow(china)\n",
+ "plt.grid(False);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The image itself is stored in a 3-dimensional array, of size ``(height, width, RGB)``:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(427, 640, 3)"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "china.shape"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can envision this image as a cloud of points in a 3-dimensional color space. We'll rescale the colors so they lie between 0 and 1, then reshape the array to be a typical scikit-learn input:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "(273280, 3)\n"
]
}
],
- "metadata": {}
+ "source": [
+ "X = (china / 255.0).reshape(-1, 3)\n",
+ "print(X.shape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We now have 273,280 points in 3 dimensions.\n",
+ "\n",
+ "Our task is to use KMeans to compress the $256^3$ colors into a smaller number (say, 64 colors). Basically, we want to find $N_{color}$ clusters in the data, and create a new image where the true input color is replaced by the color of the closest cluster.\n",
+ "\n",
+ "Here we'll use ``MiniBatchKMeans``, a more sophisticated estimator that performs better for larger datasets:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": true
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.cluster import MiniBatchKMeans"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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X95YFF32aV/c4Pz0UMoCkO8h1mgmNUAqFEYgu0PDaOPNGvF6X49jcMZbwh9PG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uxi2ZIlFEMm9ZqCoWdorK3DzKVQExrFdJp6EUESYgJJIlbNpKFTiIYomgZSatw+az4dyVGmJrMo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sDovLi0TyKTKZLMszc6SGB9g7OMLi8jzpWAzNNClXqiQG+/jgvY8Q2B5hRKNdr/OVv/jKP16B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/xahWbkc+LkCdoS+nfuU1hDYnJKT5DHPWcgycAULv5QGufmzPMcypJAe7SLwhldcAhLqVwv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\no+hHU3EcgxDESZoL3nqwK4g+yElB3Bdi9RTZqkh7BSuqx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42A5cV1Oo0G88vz3Jq7CUis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mu8fm0gpffuZ5quF4ez6uwBE2mgo/+YtXefzYGP2npygqBkIWgI3sqjiy6x8TB3JlgENK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\nV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mPIFnEU4+aX2Gsl7J/U8acmufzC55lSI6J2k4mJJfTKCrc+fYtX/uhfMze1gNdtEfsC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z0s16ZVKDMYDnGHE/L5AnqzSvG1a+QQ8M8vsUZTLl8dEdoOJ8enBHaILwlUK2WGsznH3QG+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\n1ByW22evNgRJpNtxMQdDyhNlVDlEElSaNZuhG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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ },
+ {
+ "data": {
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vFIJAv1gKUVGjuhIJy0QpHa4d+0gFealJ+nlSLSm6B9KkEgYoyZDVyPLOFkxl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uYJw+CqGdSba+A3Wkhci5se8ZaWl4jqMwz05olQCMMAGUUbJ/JmSvsnwZvxGm83aKogaaX4zX/w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W1nj6G0/hi/+XufcKkiS/7/w+6W35at/T42dnZu3sLhZrgCUcSYAApSPueBSoI3knBYMSQ3Em\n9KoHPiku9KAXheIiThc6ERd3OoICCZIwhCHMWqzfcTu2p820reryld789ZDVPT27i+XxdDrwF1ER\nVVlVmVlZmfmz3+8X7DtXufXKd9Df/i7W6hss6SMeerhCmMRYukqSCUpWBdtw8aKIulPH0gxykWCq\nOrqiMgoTksmAzihM6AchQbKPMsgI032McDG5luY5XpSSZDmuoZJkOXGaMwqTg3XtP9+3UZgQJYfh\ngPecyzicMEblGXGWk+X5fe/vj1yMwuQ+/vDDFsQxWS5I84QgzhiFCXGaT87t/f54TpoV8Mc4iwkS\nv3DiqnYAizz8yERGcui1QNwHmSx2ekicxURpSJSGxFlMmAb4sUeapwSJ/4HtFZ8J8WPv4JGL/OB5\nkiUfSvtbIDqK9Uh5hBpvUqYD6QdpjA+v/7BJ+xdXvIsphiToKGT3wTL/ppaiYTMmneR/WZ6y0d1D\nDnsYpsXF926i6Qrf/dZ3uLFyh86gzVJTpdvtM+qOSXZWaK0uF9wWismbL36Tf/l//O9s7e6xeusG\nt1bvsruzSac1JglSmu4srrNELkxGY59KrYptllEVCfKQ1t4Wu+0e/e4ui3NH6XUER+emEJlB6rsY\ndpna0QcxiJgqlTl/6kmWTj7B7/7uP+XSCy/RbnU5MjPL1PQCnXaHTirxxsVbTJ85xn/7z/5XSvPH\nCbtjFhfnmK0UGPsvfvFXeeK5X0TJP3qC/ueeIVfLLqoGD5wtY5khjWiGa/01GnWFKM7R9Zw41Hj1\n5Xc5cdwlzWLu3l0HkTNVTbm9HDPVHKNoFhubFxl5O5w4JghCk83tiJu3OpTKMmtbKYszCqMo59Gz\nGhvhmLNpRG+4jR8FB1OTslaGXEaIAlO6urxCoybhdwK8QZcsX+bI7CeQOVpQNqoy2CWGvoemqGRJ\nRChy4n6AWt0vvQXkonCG69tr9OMc4xC5iB9nJEnCyBuDEAcl671BmyQckikGazsrtL09kjjCU11q\nQEBMT2TISPgjD2WSyQzJUGUZEcS4QEfKUCWZPjlqBzqw/wAAIABJREFULhgNhpx75AFuLt9FdxzG\n7S6OoZGkKYoQZL0RacXl5NI0F6/dRtgOotNFzQUoMqEfIKsKw9xnoe5ADrEkCJmQZ6Qphp/gJhKR\nqpD5Aakk0fE8JCE4aqakKNRKNuNxh77iACH5Th9bVxl3h5AkqJqKIkE6DoiSECPPkRTlYHrXViRs\nWeJE1WW+McPyVofbV2+DHVIhIrVtxlGEnqesvfIGvimTZiqjfISjOwy/36GdZiybIWyqXGUNIaA9\n9uD6TWLXIREpXmeIoeuYskSKKHi7hKAvDLS0iHgbusqRx8+yvN5i+/p7lOdqfP43P8fX/+QloiBC\nlSQyIfAz8BPBzEN1dl59j3MnlvjRj17C93MkXI7UTExDZXGxQUnRMIe7lBWLPIxpmyq5JvPMuQdQ\nahU+/VwJ1TGYOXMcS4rpajL/43/z2/hL08h6Ce/lF0hLJR4rT5FOHEajMsX01DF2/TZOFpHmCvFk\nfiETOWFcMHfpioGpq4BEnKb48aGgT+TkAgxVxdF14qx4X5Jk0jyn7jgT4pkiG61YFfr+mHy/IqIp\nB4OKSbbvFCFMc8L0nqMZBMl9z21duW8/Dr+/b+MoRZGLM8RQZXIBQVJIHL5/fmp/uR9nWJpCkuU4\nkwBi35IsJ0q75EKg7lPEyhJBXGT5xRCozDgqhjgPy7zaeqHhXkyt70PDxAGscn8/Cy77DFPjPkcr\nuLfDQXJv5DvOIvLcPNiSJFIypYyc+yhqmUgpk8VrgMBPYiSRksb3yu+5ZJKqC1TVLmEaMY49ZLWC\nJRWEQVEWISh67mXRIRMZOXwgCFBktaiKyBJRGmKoJrFQSfMMZ+JZiukXF5mcPOkTaCVI9nAVeLMd\nMNtosloqMRgGHD0yw8DzyDKJgW+ys7tOmkgEo5TxoMv2+ipWqUR/Zw+RFgH18uomUSxTqTWwdEGn\nH1BvRpiGyUyzhpQrBXIjjzBNjVzSOXXyQVbXb1OvzRDnOfVmmZKroGoG7b1t5mcXCHeW8aOYZPYI\nv/DIE/THQ25sr7K5vspgOOTilZv0ttfJs5RzJ07y2d/77/jT736P65d/gmGYPPmJJ/nOd3+Aaaic\nPLbA2tCndqLBsxcu8Eer3/3AebtvP3eHHOc5fm9cKOoAL9y5hWULVlZ9TEPFtnXWN7c5c7qOhMz8\n4hy3bi+TJAm6JnP+gTIgYdohb1y8RKkkME2ZnZ2AakllrxOhKAZzTRldl5ifVuj0+pM/ycGPNRJS\nRpvXqDgWytQScWqSZxmvvvAyDuu0drucO/kU3e4dgrTF9tYf89DZX0BNn0R2Kkiywtagi64omLqB\nH0ZYzj0ub380QrEc8jxnNOyB88E+wiiKUCfDP0mSYFomSRyRBz5DWSDbFkq/iL7tMIJ92kmpwB3b\nJQdvMEIIgSsp+HlO5Hs4kxtBnmZUFZ1ABlmSGAUxkp4hqi4MRoRJimkYpEJg1ipEozFJJtDUHNfS\nEEYFMfSLYSXArZXJgoDh6N6F7k4y5CjJsJEZAWXbRuz1QFUQgJwldHoePcPmTAku7YKmSuSKhjJb\npXd3zK8/dYF3r97khZurdAdDPvvEGTrBmIvL6/cdsyhNyaQcNfOJkh7tOzc48+BpZs6fJ9nqoB9p\n8p33lvG9McbcNGcWZ4n8lHFg8dI7V1lPM5576lEWpxYY5AlD0+WNWytkAsylKSRJopkFDC0T0ow8\niuhkCSXTRFYEiaSQyipxMGTx3CmG3pi5pWksXaEMXHpvk9OL05w5VaZWdkhcmyPljIY1RW91xExl\njh3dZOHMefqvvTU5WUKkdpu/81v/Fc1kTN+1UdU6i96IrWkbyZEQWRN3psY3v36bX3t0lu2dLR48\n06DccLm9vMyNXZmnjpbJneIcuR1LhGoFxXSoSiEzSChxyKjbRXab9Hwfx1AxVIWuP8bSdNI8RJZN\nhmGAKksosvSB7FMCvDglyTKqlo6pWQzDMUEcF9P0lkaU5PjReILFLyxI/uN6uvcFBR9h+xhgL85Q\n9+ca5CJYeH8Cvb/OIMmK3xOlBw5z3/bZ4NJJUCVLxTXkxym5AFXOPxTT7MfZgYNW5X0ddA6OoyyB\nrRdB575zz/LCwX/gN33Ee5Ai54XDzpM+qvTRWZgsQtR0h5CMTAgkBCLtE0kFZe7B784TMpEfBFLv\nN3vSs/eoYCoZPiVUAjK1BvSIMPEpUAc+ZWRZkCYjSrpDrhhUZ2fIem0qVRddN1hcWmD1hdc4ffY8\n21ub5GPYHWwwM3OMq++8xN72Fk/+4pcouQaq6jIY+Di2je1UGfk+J4+XULUqhmqiGRLd/l0aVZNq\no8za2i0sU6LsGBw9vkDgF7wGC7PTPPTQOVZuv8iFC4/z+CPn+fZ3fsDyjVucPHea2bljCEllu9XB\njBPScMTzX/wyW6s3qc4eQ5Uv8uo773DyoYd47ulnsZSQq9fX0V2bZq3G3GyT3U6P586eJwl9zj72\nNPzp32KHPDs1jcgtJFlGlmV0fUirlWE7Bjkw06xTryacOHWS135yg+Ggw531MX0v48lHK8RxzNpa\nyvSMQqfrI0kGs1Oz9LornD9dYTDoIiGjKBJr6wmSLFF2chzrMkH6LEk4oHP5B3jhe/Tshyl3txEI\nnPpp/GEPwypx9tzD/OTHL3P+VIneYIwmV7l0e4OPHf8lsoKjgrIiCBXohwVkwnJdxD5/q27egzfI\nhTJSOiwyK9mpkPpjyva9gRQhcgLP583L72H8639B2jxOv7XD1LHjZEmKpMp0k4RkIomZTOgzVV0j\niWL0XCIi59T8HP31TRQkMrmA60wKUuSyTCblGP0RuA6WriFnAl2WCRDIpRxjqkGp20MDIopy7QEf\n9NCjVHapVYte9ljKGWYZdUUDIWilEWNNxkpidpIIS5bwfB8XQd3ImW1qbLcFK4nOvOejaSorNwYE\nmzt89Q//hJQURwGyjL/89otkWYZl28jjPjOOja/AbDEPg2YWlYjPPHmWn+wm3P7pLUwhw0qPL338\nURIhoUiCtDtCRBHV5hRfeu5juG7BH93b7WJYDs8Ed/nkP/oE82OXzcEWDaNBNl+hE7Y5FjW407rN\n58808JsNBq2Iqysb6KSYcs5iNGRh6gjvTCmcTXuoJYdtpUKkSrS3Ih7+4lNsvXqL7toOL33yHCet\nlLMxdDWfH20PmZnMH1gVHX1pnvnpMl/9+k9pHK9RMlJm5ZyaU6LmBqz92SvUf/F5Lr19icdOLtDb\nbOP2FhGyRuoNCFKFV2+8yKMNHWV3k6n4GlW9itSYBiBLMyQhMByVMM8RyIzC5GCwMJjgp/fLmR82\nEy0E9A8BUftBDMH+J/edXDL5bME29R/C6vXXmSoXsL2P4vQ4/Na+c42znz1hffh773fGhy2bXMP5\nIbavw9t4/7YPv/6w9R4McqZFPz5KCjrbfT4EP04LhTC9OE9lqQiKFFmiYdv3cN3CPZgL2bdCQeqQ\nc03u/VfjaIwk4iJABvb7MPsDZsWSfS7u/GfSpgaT88ORi0BFSndBVjByDz/PAA+DDrbuMKKKlhft\nm3dWVlms1nj2yU/zxovfZLpeI4wS7iaCX/yN32J452V2NyIai00CVaK6sMBjD/0SCzOL/Pi730Iy\nFeq1GqNxlyhOKTU9/GCI6lTJg1063Qa6atCon2KqKXN9Y4X6tMugHWK7dQZ7HR59dIZLV1us7VxE\nlmbQnZPEXocXX3iJ/rDNbHOady7d5rljFyjtLbN77XXGwxG/9A//Bx49dpJXXqvwxOOPs/zTV3n7\n9Td45pef58vPfJ69fpvzx5bIpRl+8O0fsNfZY2pumvUrL/DjK2s8vdT80GO5bz93h7x6q01tOsdU\nG9SmNE4dP83couD7f3WRxUWTwTCiUjW5ce06lWlQFI/TJ2tkcQVJChkO2mxtB0zV5plqCI4vHWFz\nt4XrqEw1LcaRxdJSlb1unzTPsXSFkyfqOCWV1174N5w8ZqOaIbmfIbPM9etv4toGp+wBD5wQvPbG\nCqq+wXSzzeVrqyhmzIljOksnLyCigEEq0PKMVNawZB1dzdCyhHzUxzvUojdVFVWWSVQDPwhALfq7\n6WhAgowRFCpLALpeCDjU85yp6Rnmj85yJxkx4+i8bbv0k5CpXIBukWc5uXKPRF8IgSUrWCgMtneJ\nbJOpKEIYBrkiY0/6dnJ/SCnUaEtjnCBgtlQmDyNGcYSy6aFqGtt7K0R5Rn53h4GjoWc5CkVGLssy\n3fEY79YGrm7gJCm5beAoCoYkUyqVmbcs4jzloaUjqFFMFETkgUcvzBnspXzsyBy/WS6zZ1b5RB7Q\nUDJmnzhLxakxzD1EUEzQjoZ7gIRimsjTU/yzaoWdks5eovPqK2/yYBQAGoaq8KnnH2Q9z4lev4Ik\nNJqPn+bWZo/21UvYo5DjTz+MceQ0737nx5itCC9OePjLXyRJ4Wv/6l9x/PYO+bGTXPjyV/jf/vCr\niFfeQUHwxX/8T3h5FLH8xsv43gq/+d//FrXNbVJD57Fjs1TtGjslwRvXe0Q3Ojz27CyiVie8c422\nYvH8w5/mW//Pi6zfvMNXzh4BZZG9aIeppMLpksU+ItSPobnU5LV3NtG9NmdrD7Jx5RKVcydJOn2G\nQ59PP3sGTUn5/S89x5nZOnLJxdVkvFRjZvEYc5HKngrGIKKe94k3xmiWBNsF9lvKM/SqRhCkxMLH\ndFz63v0sGCXLKgI+uYAM+dFfwwLxvu+pkwAbmHBT5vCh2d0HLUlTgjimbH+Q6jEaj5BNC+lv2NMc\n+j6Oaf4HUVj+57I0F4yj+wfFkgmv/MHySYn7cABQc6rUSi65gGhC5GHoKlGc4lgGfhgXlKiqgqGp\nBFFywFoGIMuF+Mn+sThMbaoq8gHH98+yLM8RgoMyPIAXRFTdyn1BQDxhTwNQIw/DrnFn+Qq7Ny9x\nOwoJ1BJ29w66XefkqUWGMRybmeUvXhqxcGSRm7dXefD8A+yMAk6cvsDlt/6K848+zF988zuc/9iT\nOJUyN95+i0E/h0xw6coa1aaFpPaxrAU6/RF+7PDpT/0Drl18HV308cNdIkWgdh0kAWlQZ6clUa7K\n+CKh1Wph2hm7e9s88uhz1F0bx6ozs7hD770rrFx6g63rbxXVo61llh45w8Yrb6MrOq++/iKv/OSv\n+MIvfpZv/tmfMwzG2LaMqxvcvHkdw9tGVj7aISt/8Ad/8Acf+Yn/n2w4HPLVr36Vk0frbGy3ae31\nqFVVtnY3OH1qgel6zsqdPnc3PM6cqtHpD5GEzquv7ZKmGStrLWr1FMOQkJCpNyw8P6Xs1hl7Y0xD\nQtclzpxpkOYxuUiRcolzZxrcuNkhScdAD9PIWdvYolJyydIUzx9RrVi88MLbSGHGcLxBuRIh5IRO\nP8JyFCRSTLVKqbJAKsAmQxE5eRrjZ4JIQIBEikyKRIpEmAv8LCPKctIsI80yBr09TMMkHg8ZjUes\n3LhOa3MDZ6J9qqkKYZphuwabnQ4/ffV1qlWLT3zmOd5bXeeRT1wA0ybSZfRqhWwwJs9yVF3jwc88\nzdXVDSzX5PP/xS/z3vpduuMRz/3SZ1BqJTo7beKKwy//vd9kuL3O7Z0dHrjwKI888xh3r94mzTJ+\n4e99ge3RkKDV5diRBeJDmrh5mvHUp57l6q07PPTAKT7+d/8+r775Ok8+9yTPf+mzvPDGu7hTNZ57\n/im+/cOXeObh84yDkMT3mXYdDNOgYQk2RBmlbvPVb/2UhZNnaXzl9/jj7/8lb7z2Fp/4x/8T/onT\nfOOb3+Nye8Czv/9P2XGm+Of/9g9x5hY588Qn8N98kUbJYLrigBBUHvo4r6/d5eqVOyz3h5xeOMnl\n1pC1q7doBQlvvnmNs888x4+/9V3o7nK9PSyy++4uN6+tszaM+NG1W3zssdO8/OprDHe6XN/rUptx\n2bizRuvOGqMwYpxFHLcdknGfYzM1giRg4cQZvv/yW8wmA67d7VHJMsZbO6S9MUsLFsntu5yZqfO4\nq3BKtnExCNptNjfbeKM+R6dr1E2YdyWCfsTJZgMrGDMrFIy1NmmvT+qnVGKd4foKqddFGoW02xsQ\nQOZ5EIAURNiJxDgcIUUG5gTWtm9Clug2VUZCRuhlJFVHVRRGQXBwbnpRRBjH+FFEEMekWUbdsdHz\nDMO0MDSNcRgSp+nBdw5/z9L1ew45zxBpAopKazDAC0PSLCu0oz/E9oZD0iwjShJs4/5hOEktSFok\nSaLveZi6zjgIkLwBimnTGQ4Jk+RAKW3f+p6HH0W45s9XRvKjrGQUPdmyqSIEOIZClOZoikyU5th6\nEdSDTGnSAvPDmDTLUWUFyyjoROMkpexaqIpyIIoRJenB0FqhpVyIyqRZUQqXDwIo6WD54UfZsRn5\nEY5lYuqFApeuFY+RX+hvu7aFqeuEcUrJtshzsE0DXdOIkwzbMPm//83/xZtvvcbs8dP89q/+fSS9\nxNypc5w/+yjHl07QHbS5fuVtIiH4xOe+zG//g9+j29+mtbPG9Xcv0lYMpg2Z53/l19i+dZWlpRNs\nbA+IUoU0DqhN20hKTq+XI6GwJ1t87NxJnPpx4rhPGPYJswGJX2I49imXHPr9iHbrGmE6Ig590jjB\ntmY5dvQY/UHA2uYWXuhjaIKHTx1hoVnlB9/8Dm9f+QHeUCKVFLavXeHqxbe48OAD/NHX/j3D0ZAo\nlZCExDf+4ntYmkqWGvR6Q3p9j9/5nd/5UInin3uGPDt9AlsvkUgDlld3WZyv0GntMBoHPP3xsxie\njef36XdLbOzsUpsy6XQinIo2iQBtJKnP3l7AwuwiO3d36AUjJBmCVLC1GxFGgn4vo1LWUZUGzzxd\nZ3Nrm709n51Wn3NnLnD12mW8ICTNBH7Qw7QAs097L2B2ponraozjTXQvw50tocrrvP3q1zA1FUXR\neeDhz6BoFhqCQNEJs5w4KoZl4sBHUTUUTSNLYhRNJ09TyppGmZyy6yBZDoYqUfECUkVG5DmhpaA4\nBtt7Y5RM4dyDj/DOT19ie6dLFMWIMCfMYgYDj3KpSpZNVHMUhXToMxwOSPOMfizRGxSTlpu7LQJv\nTD9NMYKI/uZtxm4FJIm1jQ0qdRdnpslgPOLazdskXsgXHz5NV5fYsWWyvUl5XNMYeh7eaMBWu4V0\n/U1GoyGvv3OFuDxHp9fHDyOmmnWSNOWtzU1q+yT8lsyDM8UN87mnz/LP/+gHJI7J//nT1/knH3uU\nN9+5yLxm8S//l/+ZL3zh0/R6fTRZ5sorP6bTaTOvlXj31XdpIDGUdVS9KJtLEiSbt7j6o9c4Mecg\nhxI7196krtrF0IausWcLnK3rPH1yBlNRWIximqmPlVksPHaSvOKgjAJKe3f48gMnUM+qSGmMLHwW\npkuET5xnt9XCau8SHMo6DNXkrR//mC/OmlSdY2yOMrJoxCNn5hkFERs/epWaJTGWHcIk4Hbr5sF3\nBVByi2wwilSuvryJHxXlwKnSNO1RC03R7sOVumaJ6fJM8eJQRbGAv2Ssd9eo2w0yx2DkjxBeiF1v\nkKUJm9t3cJrnAIneeICNjBeFSEmA5tbvuz5tw6BkWZN15+yFMSVJIU7T+wQi3m+dUXG+Wbp+oOt9\nmGsxShJ2+31KlkUeR4gsIVWNg/aLoWnIksTecEiW56gI6uUKaZ4frE9TFIIowrUsRkASRViGgW0Y\n5EmMfIiQxdJ1HNMs9lmIAz1rP4qwDYNgEkT85zRNkQ4Ig3IhiLOciqVNMM9Fv7jh6OiqgaVF6KqB\nIivIkkx/XFQ0DL04Tooi0+r1MXUT09DYG4yw9IK/fF8p6/+L7fNrR0kKIv0AxaZt6gy9Av6maype\nEE3YuQqWOtvQWd9cwdJzDHIMf8j3v/3v6ey1eP5XvlL8NiVh9dKraEKhfPQ8kSy4sXKLxdMXuHHx\nTY5feJJPP/9FHEvhzZ++wtHTD9JcOotRm2V7c5PVlRvEIwu3EtMLdqm4JYZ7XS6+VcatuGzfXEUy\nM/xxjcQsSGMeefp5Xvnh99CoEgwFyWTWoTHjECZjdrbbnD05jyhXWO9s8uqrr3F08SiQceNqlyzf\nQZFTeq0Mx3X4xjf/ksFgjKbpSCTkUYVzp44SxwlGmKPWP4iVP2w/9wz5iQuPUptfYun0U9y4+iaG\nkWEYGq5dRctnaHt3yJISu3vbxL7EiWMm3XGOqUC1ppEmMpXSLL1hm8FgzMzUNHESkJMzM+WS5Qlb\nuxlTDRnHtsh8lb7fwtA0kjThVH2Od6+uIWkhU40y7932aJYWsFyP3VbAzm5ELmKSOGG63sQPxpTk\nKvONBi++e5GZxjRpYtCcaaJaZaL+BmEUUdaNAnYiS5ObhI4rQblUxspTHFVBVxTS8RayopNlgsvv\nXaO3vHzQd9Ilhc29DkcWavSGI967dBlTAP0R0tgn9QK293pYfoCBRDwpO8qKTDDyGCQxMoKh5yGG\nHhUhMR6O6foh5SBCjmL8wYi000WLM6xcEA/GiCAi9QL6rQ6hH+ElGZutIckwvNcLlyAJYzwBZpgQ\nAVkQU5dkECm0Oli5QCgS+jhAi1N0VcNQZc7WTeql4iYf9Lo0jzSYNqv86lML1O+u0azN8fGlOs9N\n6UxFAx6dcnhyscZi6nGUmKPNBp89WqW1O0Ia96jaWpEhA1trG0zZZeqKRDWNUAXI/TZlFWwpR/E8\nGPtokY+SRCSjAY5Vwu/16O9sUzddMq+P1/bwunuINMfv7HDCkNlpj9leuU3ZVBkOhliGQhhFnJxv\nUrEqpFlMOxD0wpyOn1E3JbZGGTkSFVMmzQV77RaL9fsVX9Z2WgghmK26WOUSITFNqwEITM3EMVx2\nhts4hlNQuAJBHLA73CYXgiD2qTtNVEUlny6j+An2sSOk/RHqwhRSmjGsw/V2hHN6jruWij69wKPP\n/RquVaLmVrA1GTWJid6HNU2yjDCOUWSZge8X0Jq/xhkftr/OGcRpSiIK5vjD6xRCUJEFluPiRxGW\nXmRaiqIQxDFJlhEnCVGaEsYxVcehNx4TpymuaTIKA4xDDlaIQjZRkeWDDBsmuuKyzMDzSLMMQ9PI\nxgNk/cMz6TTLiNP0PoKg/1jLBVi6gqGqlE0HSzcwtEL5zTUddNWYOGEVXdVRFa1g9DrUizd1DV1T\nGY4DZLkYDLMMHU1R2Bt1J8Qoxe80dPVA7OHDrOxYB7zg77eKa2HpRSVl/CEk1o5pEKeFiEeeCzKR\nT0rbgjTNiNMMSVHYa21SrZXpxgGXf/oGnTCjcuQoJcdmd+0KQoIji8dZXblGxTTphAnTboXNm+9y\n9MLzTFWnCPOc2alpnKlFhnHMr/3K36E50+DlH32XSqnGoDdEEJKkBgpjYtGnZpfQa3XOn3+Sqmtw\n+fKbWEZM6oX0+tuU7BkMIyGJ+3gBpEmKP/LY3FpnaX6Ot969THunTck28LwRF+/sUDt9jmw0JAoS\nJClHCB1ZM/ml3/wNnnroDDdu36Xfa6NqFgKJ2+ubLMzO/u3OkNN0xOp6l9LeCsePlTFNicFwTBT3\ngE12tlM0KWR+QSXLIrKRQ81MMewS44GGpHaJghRSC8vN2W5vMW3VqR/RMG2XcdghzzymmjbbW2Ou\nrqxQmiqRRUPmZhwiQ+DUYoJAoTfwmXVL7Hl3aa+nEKc05xweOrNEkLUxZIsHl57m+tZ11vZ2+cyT\nz+CFBm6jjDf2CYN1ji0skGQRPjpZnhCN9rCsBnkaUa6ZKCQoSo6u6iThkFirEQiNcTDGHxY9PlVV\nydIUZJkaBcHm2puX+C+/8mW+/0ffoAfokkyv16eCBLJCr9vFmPSs0yhmMwqYETJxlpOu3kVCoCJD\nEGKKnByJGMGgtVdAeSRBHsUM210SRIEdTiV8cnZaEV5FwcozlP0BkCxnq9WihkwKjG6tUQGSxKd9\n+T30SblyuLKJhkQeJYRywKLwyfIyc5V5tgdbXFob0nBk5E4PodV5a7NF2VQZZYJOBnV7RIzKcDxE\nVgoyFs0uMVJ1xq0NlENQjGPNE6ztXSTPZOIgJA2DooKimkiGXYhyJCmZbJLrMlmW49ZLZIaDSDLq\n88cIkgyhWMi6gy5rZEmC5ja40Y7wertUKy5RIqjXKoC4D0pj6ir9KCUOhjx+tI4QcLfdQatVMVSJ\nXFI+0PssWxVkuU0+cVxSlGA4Lmt7K1i6hVtr0Pa20KpVuoM9mu4UjXlIdyymVB1h64R6nbasUsoE\nbSngbiYQfRl79gxHGw6VEyc5XZ3jlx+chWTIZ0VGrDQwsps40ikAnPk6UbrIT95+i75sIyuFYpgs\nKygI+t5fr0D0NzFdVanYNpoik2YZfT8gnmTHhVwkiDyHYZcpp0yCRHswwDIMokOENxXbZuD7ROk9\nR9IZDpEkid1+/2DZvsMu2zbjMKRRKuFHEVGSUHNdNFU96Fkr7j0UhMgKutGC+jOlO9GbHvg+hqYd\nOCmJIqtPJqV2RZZRFYUoSShbOnWnWlxTcvHZwnnmExiVjCzJhEmCoijESUoQBhh6IUqT5oKS+cF+\numsZk8AkPZgfkSWJoRdQK9nU3RpRUkhQ+mH8AdjX+23ofbhYDcBgHByoU+2vT5KKKoWha2R5jmMa\njPyw4GSYOH7HNPAmutWNSoX+oIcmSUzbJTpuzsbdm/h726xIGTPNElIYs3F7GSNNCZKY2VqT2WaV\nyvwJ5qbmQErob9ymOrNI2N7kx9/8M8w8Zbh+GcNwePzTn+PNv/oGmQqhJwgiBTfM2WpdRtcWWVnP\nGXV2OHKyTLfls3r3CkhVonQb1crwg5SzDy7RbUWs3S2qWN/4iz/BthscXWzgR+sM9jSOLjR56vln\neKG7zfKggxCCZq3KVL3GfMll+/ZViDwWZ8rYzaOUKzU++7nP89alSx/5H/zcHXJXb2CXJPY662xs\n9nj2yVlmp21ur2xx545PloKixHSGgplpE12XaFpTXLuzwfGpBl1fot/3CSMf29Y4f3wRORRokkxV\n1/AiiXMLc6y2txFyyrFjJ5lqLCDpOu++fYvUeg2SAAAgAElEQVS1u1uYpQxvlHFsbgpVCUgywe2r\nHWxF4aELOq29FrPzFpYVEYRdzpxs4o40umIbM7MIu202t24wGkP5l/8uSRoiyzGKXUOzGihkyFKG\nZVYplacZ+MOiF7Z7A1XEqKSQp4iouNj3Gbb6acSXv/Ib/PjlV7BKLt/6zvfIJtzVMTBUM5R0gsn9\nGZOQE5GhQghAkg4mO0dSTopgnKUIpZBOLAlwkBmR4yIxIEMWxSzmaBhhTliq9m3/aUiOhnTgrD/M\npo7N017dYlOWeJx706fHqirrqYMsj9gOFMzKFIaSI6KIOAyxyxVEnGHFAeXpBW7s9nGHA0q1Jp5d\nRx20D7axO9hB1S2kNKekCWKtRhSFaG4ZkaTE/gDdrlA2JMaFcmRxvL1DxAmTHcvTBJFOhBYiH+VQ\nxlSbmiUadxkOPkjOb4oA3S1xp5cyZcsoVpl+mLNUUWj7ObpVZmuU8uDsNJZmMQgGPLDQ4OrqVrF5\nXaVy/DhGvU5pLMgpsrm7w5wFYG+8x9h5DPlYji5U7LkaTVfDqz2JU7I5Xa4yjhOwXGakVSRJQlNV\nlrcDLq966KM99MTD9y5ipjDqvQlAJ+mD7pK4c+AeBTiA4Unvmx0OxkMs94PR/d/UvDBAFgIjS6iW\nqgx9n/CQs/WRsYHUG9Kf3Kr2h8sKJyYx8H1MTTs480pWoT3shSFV5/5KRNm20RTlYLk9KW9D4dj3\nLfPHKPb9pcU4TX9mUJKkKbIsM+9UWG5tMQ5DFFlGkWXiNMULQ2RposvsjTFUlShJyETRYpq1bErV\nKtc2N+6tNMswDANDU+n7AReOnqDiFvsUxglpltPqd5ipNT9QPnYtg6EfHiAq9tWz4p+R/f6H2vvV\nqYSAII6IJgHBgR16OvJDTF0jTguBknqjwdtvvEGvv0WeSzx87gG2r7+Boz7HXtRlc2MDYVd4/IkL\nvHdzGW+qy0Y8wFBzHpht8sJP/pwbN68hlY8wq/nMlAy+/cf/FtuQmV+Y5Zv/7l/TaM6SRBKe73Fk\n9ii1pkPgLTMINhnv7rB5d5dzZ5c4d9ShH2hst1pYpRqW4pLMC3RhI7Jd3AmY2nBNglHIINomT3NU\nU2Vp+iSjjRt0R2OSKKXcmELkHu3OmHdeeIHaTA3ThukjJ5mbnefcJ7/AUw89SPM7X+Orf/j1n3mM\nf+4OuVyewVMiqvkMXs/gyo02ai5YvjPGsmXaexHVhkkaZth2TmnGIOiOMVUYJkPqjVNkyZiRdxvL\nWKJar3KqbNFmjyT0qbgWu8M+fpygyiYnTp/m7TevYTo6cRIRBCqzJYfZo2OyrIdrl7mz3CMTEElw\n486IT1en0WSV3VaX+SmJ8UiiF1j0OyNi2ePK9RWm5ur86uPPUtNyxOxZADRZIZvABqJ4zGC8R9Zd\nB1mmHyXcWFlmeuYErXGLtYuvsbI3ZCRnzOQTecMUvv61PyGJQuooWAjGgIJER84QmSCVChhLrCjM\nHJrqjhFECAaKQBWALNEtCOIYSTkOMqqAoSLhIBEJQYogQxBkKaasUUHBlyaRLjLq+2SnUorvJAhk\nJNLCfdwndpEjkGSJvbVt7JILgYelSqx1NjFUCcvVkcYqSALFcZHShFhRaZZiWj2PuiEYhlCfX2K8\nu0FTMck1mSwOKXt7JNy7QTTcBm8vr4JRJ8hU+ntbTM3OEw9bDAZjKhUXkjFjX5BGHoqQEBmICWlE\ngoxRqhONxyiGVfQgBSglkyzwKc0cQVYlFCHQzWmiNCPLCxYqQ3WJsi7Hp+45KkmWOD+jIikylzsZ\nFx6aRkxVGF3f4Ycrm/QHIx5/9DzvrN4kFzLLkUGeGmy+/R7h1BFKZ+c4ahnUm8/SXLrAdGMaTVOp\nl+6VldNMMOgPWRi+jAwEvYyd620G3U1uALVMQcoLYockjxnkCb5jkxsxieZjiRrVFMpY9EWO6i5O\nYG19rFKRKabv+9/f74yLMmihrZxnGfL7yrl5XoioSIcmnKOkaHNIkkROjj/oY06AOPsTxUEmCFGo\ny4UaePg+YsFcCBS5kPVruBZVxySI9+lYddJRH6VUQQg4NTPPZq+N7/sIfwzlGkQ+smmjyjKZuFft\nUN0SqlL0yWdqDYLU58bWB0UB9kvg7cEAedIHHofF4GOWFyXbfZWku517geMYEHmGJCuIPGMHyHWZ\nfq+DXbqXncdhyGgyR7nWaTGfZWx125ycO0KWZ0zXGvhhxMgbUatUGXs+iqKy0+0wCkeM+n2OzB9F\nIKGp2kEm/p/UJhH/fitLkqQD3eN92w8YkhQe/9inkETMW69l5HnM5k7RFpOaR3nq+DRLC9NcvHyF\nS2sZL77yQx5qb3I18WjUZ7m1eoqpchn7iU/T7Q9YnJ/jzvIqcwtTLEw3eOv1d9nb6xInY+r1RTQp\nxdAVkjyjHwrKBvhyQr1m4DgVWsEWM6bDte6ISt1E0lXUdJ5by+8RBBmqKmE7TUIPLENCVkKmyhVG\nccjudpsTlkucZKSi+K8i36dctthtb/L4Ew9z5b3ZgopYE1hBh8svf4s3XnnpIw/nz90hA8y408hL\nKkb+JK3WeygplOwEL09ZXHLpd0IqFY3WXkgmtlETjSiRqSgq3rDPkw/O8MNwnZnpCq3WNoblMOhC\ndSpEyQxkWSeKBPWazN7uFWYbKmO/Syp1eeyR0yxvr5Hc9DFMhbmZkIUjTfr9gHqjTrmSs7bXYvro\nLMNRQlmW8aIqo8DjyLHH2NxcRjU1lqaOUXGqTNeXuNPe4uSxE2xu36FZn0NXdXqRzPbWJvbCCcza\nAnXb4uVLt9jrXieIQwLVwZQhsVyUKC5OaiFQgpCm65LGMaquoyAYBwGKakwoKUHPE+SJEzQskygI\nsXOJjJySkIkRKEg0KJ7buUSqSoSKSjlJi3KLpBAjiBFUFW0i+yjdW++HZL8GEtHEGScInEM3zICc\nhILdqHFsFloj4rDoBXZTjX4n4ZEZnd2TLqW7GeHQZYoxLc8nsyq0E5hxFXalHE7pqHmENXbRgjFj\ns8LsvMkwniXc3TrY5kbvLuVqnV0vxpM1tKkZUlVBLtWolWoADIOQmTxEkWGQQi+RkCVBKmQyyy1w\nR7JDRTVIdA3TVBFJglpu8Mi5o1glnTiXaVRKXLvTJ1AcYkcjr4YsKUVmOZbmUA0XRS+w9Iqr05R1\n5psVfFTML2k8EidIEpi2y+e0omybJCkLlRhZJGSyzc7WGOKIY2dmkOWMW6vX0OKYMFgtnAqw5Y1R\nhjlh6JFL4GbFRV13SnjhCN8yyCKfWJZIfR/ZcFGEzLTvQmrQ1SCUwZjcQ7dHYyy3jF2ukmVpcQN/\nv/7nIZMR6FkESOiOS7ffxVZMTMM8UJZSRUKWSwhFJZn0fU1VRZIlwiQlRcJGIKkarqoWJDW6jh+G\nVE0D13VxhHRfWXrfJEBVFLb7I0oK5JqBCH1y1UDXNYh8oixnbfcukqwgqRpGtU6aC3TbxdQKli3H\nUFEkecJNLaGrBqNwwNXl69jlDxcECOK4IEHJUmRZZ/AhGbRt6DTL97LtJPFR5ELmUzZMRBwhVIOe\nF93njN9vrcGAUeAj4oiL8T1keMMt0+62qPQ6pP6Q0tQce502mqoSZRnb7W3iPEeXJNxKDVVWqbsf\nLXDwN7F9QYuBP8QxnI/srWdZzuzMEUrlBiPfw1BVvvCVf8SL3/k6ixWLa8vrfPFXv8yrL/0Ut1zm\nwXNP0HQjbq9sI5sV3vjR91hd32YUSTz+zNOITcEolfj1X/+v+dM//Bc0mzWOHl2k3R3QH4zRtZCV\ntZtUpwySKKMTVAjGgs2tFp/71BHW7rYZBCOm51227sY0qhmVskySTKhUU0E08EmVkNmjNUZRRi+P\ncOway1t3uLmyiSzFuI5LlqUokkS5MoOpa3ztT/6cxx97FNM0uPbuNXbu7tLbadEJ2sDPri79rXDI\nOTnt1g47K7ukmUI/amM4gu21kJmaS17W+OSzi9y41aJckblyZcSZxRkUWeHNW3cR0h7HZyusrl3B\n0FSefeAxnLmQ5Y3LtPfaOLpFqaays+Nx6qSBH++xuHiCWr2Ja7mcWHiGl955gxPzc0RZyvrWiIXZ\nc9RrFp1gFUsXvHu1xamlkxj1EyiJwYKdgeZgW01mqmeYPfIg0cIFhmadiAGRXCU1p/BxGcUZy4OQ\n8WiI46eEWy9w7vHPY1pVdro3cCsLlNSYY/N1uobM2updUBKSCJChO+whKzJ5eOiCnwD9xxP8oGNo\n7GQ5yXh4gB3VNYUgTnHNAoLSy/NJaUmgCBXSjBHgSjISEr1D2SYypLZF6I+JDIk4EjApl9dRaJMy\nhUro3BO54FAPykTCRIIcjs7Ps9a6QZokfPapR/F375J5Q94VU/jVO1w4egovqnHj4lVk3eWZT57k\nrYt3WSnL7F3q0b8usfjxeS5t7DCjG+yOWkjrEJKgqg5yYrEY5lTMwgFcUh2m5mrMNJo41RqWa9Gs\n1w72ba5eLQ5hbQFdK6HIKnP1GSqHbpwS4LoOqqocLNl3S9mEBvUzeU6vN2AmfuU+nyWAt169i2dL\nlPp77K0V2dFb743Z7OaU3Jj+WCYINpB3U6YfXGLwzi7RvKBu1/Bu94r988ZojsunvvAMo2BIngSA\nxEx1gdFwj1Jtlt5gRLM8zXt7r/DwzLP0kkJzO0zGoEg0TJdOElBNCrIW1a6RSzkb9gAjsEGSCBQw\nynU002QqHhCoxaR1WZHwkJmuFDfwPM8JPwSKdHDMJAl7epY4iZgqu6iygaYaKBJoqk6chGwNepPz\nVcWLUspA1XKw9UL+UVN0+sGIIMmwFJnheET3Q4aIPsxUy2I4GFImZRglyICOIESiEYX0Ucg+oq0y\nU60CMbIEquxzt9NFqAbxpC/6M7er/ezpbC+KMYIY7WAi3yDLAVkhbbdQSlVane59JfOfZUGcADIc\nwoT7UZtGqczuaEgd2GnvUi5XyIY9LEDSdPQ0RdJ1hq0teiiUj1mo6n/aifKyVTByfZjKVL1ctAi6\nQ48wTjh/4ZP4wZg3XnmJqeYcv/GV32Xs7bC4tMCl139IlMWsX71JqeridAfs9Ye0+7dw9Ba1qSqu\nHHD93Xf4h7/3+6jZiFdffgVJlxkOR6i6xcNnZ3nr3bc598ACUWpTtQx2RiskeefA2Yb5gJlZmW5P\nZhiqPPGxx7j8zjtkWYs0vdeiiYTHTKOCVqoRd4cMo5Dy0TmOLJ7kzsYeIh6iqikiEZQaCyzNT3Pt\n5iq6avDAmRO8+OJPub16m+qgweLcItnob7n8YhLFjHvrDO++TiRv03CnqUvTSLpHlgsWjxg06xUU\nRaZWM2i1fdJEEKtDjLzCF557GkUTrGzd4JmPn8DrxHRGA16/fZEkkfB8Ez8T1KZVajUZgUm1LFGt\nlGjv3uStiysEof//MvdmMbZk15net4cYT5wx57x551t1b42ci6TIolqmaRm2BqjVbsOy22qg9WDB\nDwYMA3424CfbaBgGGn6xHywPaNtodEtqskU1RYkiWRxUJGu4Ndw5b87TyTPGHLG3HyLvUGSxJAEG\n2AtIIJHnnIhzIk/stde//vX/XLt2g2hwg5bVPCOGXHzuJTa3t8i3Yup0n3MLK5Ss43hdBoOQSAk2\n8xo3CvilV7+A43fZ273LUq/H8HiTlfXz7O3toNYUxsLx6BCne4GTvCSJS3jvdd7e32MQp2T6FKUk\nN154kaIS/J3Pp9ROhHKahU8VU4zy0UELkY5I6xLPf7IoKh1Q5SWeKCilxFR1U1F7HZJ4RnmmY6vc\nNr7OKWq3YUKWMcr9kN2araif0s7Nshz/7HzZ2bE8xyU/U3SSKGrXRxUZrqPQSuIEEZ7fQ0pJp9/m\nk5/7FZzAp+U6tOKcwHOoPUunv02nHbL0wirm7/0ewqYs+y5XP9+c2/1HDcPX6oj571/BdxzOd3Lu\njRQaQ9ckHGUFg3qXSq/wctjhS2VFZAviukRUBlOmjI8z/F5A0AkZbzcqaepoipO8gaxijquCcavN\n4TDh5GSKrArcoiCpc+oyJ02zZlGt5hQq4OHJAS0dwjAHC2U2ByGxddN3nhY1sixpt1tI12N6OqK9\n0sf4cJg119APOxRlzt6fnlBlCemJIFruMclq3LmlLjLmq9VjOFCeeRIfx0Mc14WTA3oSODmgJdsI\n6eA5klA65PIIOXfp5CeUwmXsFI+dOK2R2CQC+dTCU2aNf/fi81glyeqamGYzcjSZUOYZjtf00R/B\nsh8V4yRjJfQZlxW2LCiQ+JgGMcBydHZsiSWePHHAiZH0goB5np+pW30QYtVKYYyh5fukZ+zqWZJw\nff0c7+xs89z6Bnsnh6wEIYtRhwe7m1yM2nhhxPj4kJVOB9dx2B2estbvs3t6iu80cO7B8IQwCJnO\nZziux3w8xPVDtOsixEezqqsiR7s/u1Gpq5KT6QRsA+sqranKgros0K5HdXiAH7aI51N4yuKxrkrU\n39CMZjSf4yjNaX3mtjad8WhpbxUlcZ5DmtFrdfHKEisMUooPlft8FMbUj5XAHgmF1GcaCo5Wj3vJ\nUsAsT/CUg/6p0TyAlu+ye3yE5/h4rkteFPja4WRvh09+5tM8ePcNWjLh/sO7VKsXefXiVaLgfap+\nRn9hgfFUsdCbsLd/zMrCMs8+c4Vv/Omfsbqm+F//8X/Di5/4LPffeZ0kneB7Dt1z5/ny519pxtqE\npR6P2dq5hxNosAFS5Lz4/BLKSrb3KrIyJHBqHtx6jzBoMxrvg+qwvrKEcgQnR1t0e5fYubeD1gF+\nK+D7r9/kyqXztHyXeRWgdIGxCqoRu3uwtKLJY0UynxG24NLFi8zmY+7eu4cfwEeJxv3CE/Lx1m3W\n2orL5yLiW/DO7S2CtsvFNcXaqktVGbZ3x1y5uEiVRwRBzvPPt0gzyyid0zeKfnTCtSs97m8ecWX9\nef7q/h129mNWl6/wpb/zWSbDXbrdXY6GQ4bDA4LQJ6sPsF5Cp6157pmrlHXFuzdv8uInPs/F689j\nW4ssLxXsvhcgpMdgUTI5fMCd03d46flPceIuojsbLGQ533v9z7jYbaN8j/epseGAN+/eIi8t853G\nsADb9JiUqfnsK79KVaXoH77B+++8S14ZjJnSrpsF95GCzk9LDUolOZthIFzo0X20k5ONAIDCUJkn\n8nd5p0NxfELku6SdiF4vI7EVQmo8C8pUpHmO9j2qvEksbtRCSEFZZpiqIk1L4jSnHfmkaUmv27zH\noi4bZmmnTR3HyKpGUFOXMDrNUc6UdnuKGwQMjzaxScEqik/8/V9/rAolsHjxnHwc4+oRtthFhQPe\n3mmqqMX7D9FVgwpYK3gwEcxygydL0lo1ZCtrmM5GBEFEnU5RQYckmVGlKY7voIVEeyFlAZPxEUVd\n4lhFGPqUZYU1Btd1EVJinlkkvjOj76qz/rHBGos1NTrqcNVL2KojsvkJkd+mPB7jtbvECyVqEqEm\nFWgXIRWD9Q42n6NSiw4j+tIh3/BwhhX1+aYaKgE98aiWHMLjDizV7AcC5jlhq0c2PQG6xPkHodB+\nYZGygW+rsIXWHu3dXaxp5FQpK1Tdxg18sqAFqoK0YChc1oCFGkxvgel8SK5cEq+D221TpgWH8xnr\ni8tkT60aWikWFpcAHgt/LLTbjx+fJsmHqmqhFB1twPdpZBosoe8wzyvCs+9oZQyTOGah3cbVkqBu\nvr897TymkjVsXvnYnQl4Iq4TNx7l7+3u4JuKe0cHdFzNbD57DLUfZDn95ksEecowa3SMHx2/7Qc4\njsaYin7UoqpKVnoDtuoaIQRpPHsMJz9NaCvzDO241HUFCOLpCC9ofaBifpRUtVIfqIKHsxnnF5bI\npqcIIVhfvcIbWw8eP/63USIz1j5m6f90ZGWJ5zi0fB9szfX18wSuf9YvP+v7At0oZDJPCB4zqCWh\n7+JqjXqkh28t03nyuEcchR6bh3v0wzby5/hFx1lBp9Uh9F1mcUYUBmzvHJKmOe99+6+4dO0i21lM\n2w+J798jWeyzdzjm/NUXONx6n7WlBR5uzhES3r/zPrtHI8bznNPbmyTzKbv7+zxz4wazYhNj4dNX\nP8XKYpft3ftcOn+VT37qE3z3u0OyLKLMDllabZPlMcNhya07Y64/9zLD+3exvWW++JmX+NZ3vo/n\nBJRlxaA3YCcVTKab1CQk6QCLYXV1lWvPXObe/W2EGHByfARC0OksUZsTHNnl+Zc3SGYx8WxEXU/o\nLWiWN0KmxzHjn+WCPo5feEK+/eaP2OvXvHBlmait6Hdd5mnN+toi+wdzfE8ShR5CCPoLJZwuk+TH\naCW4fO0SyXTMd773gM++ssZLV1Y4mm8yjeesn7/A+tJ5KDKisIcyijg+oNvxWBmsERcz2mGH9cgy\nHh8iZYv+0hXm01OOT8dU8zeJ2imf+WQLY8+ztBJwOjxlPRiQxSOW++eZuT7v33+H4f5DfDNAKkmv\n22Nh7RqztKbtupykcwJbE3ohan7IdCzYrMckRlOUJQeTaXOT+5ZZOkPkNUVboZTEU5LQPD1LCcn8\nbHHe2f7AdTT1WUK2llOaBQIMbaHxf6qvo61EWEEtDOOqxJWStmgWjlNZUkuLthJXSYLMsmdKXFfS\nReKZs513J6LIcmInRxUCVQtMWVP3FGJS4XR9gt4CyWyIU0hEu0ZpRZ4cYycp1hiqPOZwpeTcvM3p\n7gHzXh+TFLjVBGxAtyPQLRdpS6pC4/jRY6b0J7qanxQV57uKSeGSmILrgzbHxjCpFC8sL2GdZkHe\nn9XkGjYW11l0BfdmhrqjUaJEFGAkZLrCVwbvQkA9t1SOASmII0M+z+i7HndOJOm5jFiXBIcjVGGo\nshm21aPOcqr5nKC7TJHOUKlkFGUsph7VWb/XWkvdc/H2c6qewmCoMNyoDHezGa3xIkujmN3aocin\nyKiNPqwIjUDWlml8SNBdZ+LU9KzkWFuq6QFzN8TrX0BqH1NOEe1FqskBEkNpFYKSjhtg1AKHh/sM\nWwO+/0//GPdSyKdf/VXaC9fJfIUuBReNoESw6koIOygpcJREisadaKHVojIlWsnH9olLnc5jneen\noxs4Z2YNElcKKmNJS4ur9QeA417g0Qs7TNIZbV+SlbbRHjeW0HNQQjUEKeGgpaE2jaf3pYVFTuJZ\nM0okJPUZeczYRk3MWkO71UZ7HpWxLPb61GlMOwgaVbEsw9WaSZpACq5yGM5mCKk4mk4ek9OklOTJ\nHOW41FVJnsa4fkiRp2jHfZyA9YcIi0ghiIKAqixIZhNSJL7rsqAFewc7hI6mBu5u3aWPZSJdjDFP\nVM4+JKqyQCr9+DkfVk1L0WyApKlwqHBUi17QoeX5uI5+wpi2Fe2oTV5WRKF/Jn1paIeNutsjAZIP\ni+k8ZbG98IGK2VjzAeKYMTVl9WRsqqxqjDSkeU53IeLG8y9y9YVX2LvzYzbv3uHNH7+FsYarn3qF\nWzdf5/1b96nLhLIyaN1nZ2uLVuSQpRVhuw9eBz8IWOpvUGeat26+zWs/+D5eUNLttHm4eYfhMOHK\ns+fw5CLj8RFlOSavM3xP8uD+PhkVyf4hF5/5T/mthQFf++o3OJ3OOT3dpz9YIUsm+NohiUfUtLh0\n8TwPd49YXVxEeZp0PmMyjTk62ufK9TbrXZ9ZMmJv94Sd/Qn9HlR5TbvjUdt/w+0Xh6N9Pv7SV+gs\nLpPvVczmm8hAc/vuhBefX+TBgxFBkDGkQCuP3f19Oh2XdlvhhXPubI3o9SVZVpBlOWHH4+r5Fc5f\neJXR6Snzk9tklOwOT0mmLoNwkfdvH9NqOaTjmmkRc+XCNTQS7WriytAKW9zbvM16YOi0PXb2C4bv\n7/HO7Sm/+UtfYvVKSJ7vEW/NWFudsn+oWVl+ASFjgs4aKh7Sl5rUWWA6mdF2XC4EFe3LX+Tk6D5l\nMmdUQ21rhFAIFFkGjmsphcYRAiEMgXFJZEFgXHJR4uGQt6CuXRzHIATIM9hxdFqxeLYmdpQmVQal\nNJVwqQOoa0lVC3yvJkkNrqOosLSNQ4VgXhikCgi9ZkEzhYMUmixM8WqNVpYEi+MrAuMykymEkExK\nlPYRugZtwWrctiGTJfXshCovKRTkw5rIOsxfjlEK3E4b33aQ8z3WLvY40TEL/ZLoXkW5co4qkui5\nYbBWcB/LQLrksxxSgfQ9HowLzJLPfVkz6me03RZ390rSazkHxyn+qYN1BcYVoKCYjIhTxXFdI1PL\nTAZEpyWeCCmKOW7bZ3JywKC9xsU1h83NEY7XYv5gm/76Et64pu4bkA6H7034yjPLbB6OcPwWyd0T\nrHQJwqaKcoM2trTI3FIsKvypxhQ5wanEdVvkPY0LZMRUbcn7EpJlwaQeMkZjOoLZPKEWhqV+BxGE\nzLIZQ+mwKsAgmKimP6+cAIRCq0bhqTY143hEOT9mmNfcOXrInqpYXV0inYwpggEdv8e9suDT/RfZ\nOs545fKAWVHheAolBdLWVPMSW5X4gYuVoKXEVR6jJMbVzYIbOIq4aLzDn47QPUtkQtINGmWy2lpc\nLSlrg6/VBzSPk6JinMR4zhkJTEryqsR3FCfTmJVeh8pUZEVK5DdSoMN4RqkNg7BFUhZ0/IiyLlBC\nYs7eT15lOGEbKQVpmeNIh8JzcJXLIHwyElWaqmGCC4UQFkc6xEXO1skJAH6r3YwN1hV+6wkyELQ6\nH2CO/7yYJQnVU0mzkSRNiTo94rIkdF3SLG1Y50AaT1Habc4X/qyy09MVeMv3mcx+1obS0ZqNbhdj\nSha6PR5sbxNLQZArkryiEy4S+h5HwylCOoS+z/7pEVWWEbV7jGZTHO391DGbOeRZ8qhl8SGQ96M5\ny58TdV0x2rtHv9Nm7yTj3p33mGeKZ198kdFoRDRYZxw94P4b32Z9dZl3b96k1e1hZMN/uXz1MmmS\n47s5o8kQGUb0BwusLS7y7a9/k9xJqKlxtGU6mzEc71IUBTtbu1y5cBEhAubxCaPJBGP7KClQUqFk\nzts/+QFVOiXO0mZGvC6Yz445f3lAFq5tPs4AACAASURBVAuu9Du8+967dIPnCFTBe3feQwlLmiXk\nefqE4BbPsc4Sm5v36XaWEVLgh9D1V+k+0+b1H5/83OvzC1fqunBugc9+/nN8/Zt/TL83pd9zuHGl\nTxAYAt+j1/PYO5jiuoLAd9gd5lAZdnYTXL/C1oZe1yPOUvK6ot9r029tYIMljvKanYc/QdQ1P/jR\nNp+5cY6bd3fZPRhjMkXvi3+X/W/f5Itf/nV2Dua8ee8t1geS8cmQ9VXBpcU1fvzQYXq0hetZlGph\nvA0wgpPTCcr18byM1e4FXvnMqyh/wG185jOo5keMkgm+26UcHnBcOByNT5hOp4yNh1IOfldz7/uv\n45ASphWyLdHaoPMKqSGwHqWs8IxDJQy+dZjbnLrWIASObqCjNG18TD1PM5OWUhhAII1AVjULTkSh\nSrSyFIXG95qRnK4NOUkTOl7AvMoJQkA2TjFZkeOFlryuscagtcTzNEZYHKHIZEllDVnVIAGxlQit\n8byatghQKEIRgBK0RYjMDK0oorOyQnvJJx+PsaMZfhQxN6B2T2knHWrpI3JDoUfohYilkabe11yu\nJaPDilYQUvsZ5Uyi5yXF4pTefoAzswglqGYzOtsl9oKGqUB6hmIyxM4tvh+BcNF+gDoaM17SRMaj\nDhxkoHHTgnyeMFtu4Vc+tVR4tsSrPHA1xlM4p5aOSUgqxaZWOH6NKmu2zkvCtS7vbU6YW0l2bkAx\nrWh1FHPjstse0fG7TMOE2qtxa5cyMAQ2JJwH2MiiHIns9jiZT9hYW8erBUfzU65fuIiUiolss9KK\n8N0WK15NiY/NMubzQ0SeMJud8FfHNaf5nJkU5Noh668Q9hfpLK0RrZyn3eshhOLhwZTPvPpl3vnx\nd9naPqTd7dHtdKmN4fT++/yT/+m/5/NfeBXteZS1JStrpDRErg/irKctxWPbwLbv4GqJryWBEwCG\noqqQKJRsquvQbdENGk9zJRSz8YSHJ6coY6jmExYHq9SmYp6XBG6zOQg9B1f5+LqxvAzd1pkDko+r\nGr/mrCwwtsR3fIRoRnukkGipKU2FqxyUEGil8R0PrRSlyQkcH600nnbwHQ9PO3jaRSuNVjCcx401\n4ZlTlVTq8Y8Q4meSsZYSR+sPKI61qCmQSNkYsix3u7RclyhsGMmPhEUCz0OXGTguKE0UhqwMFnC1\nJisKpBCNmMlTDGtHKRaigAuLK7ha4hYpygvoRxGdwKcdBHiuT5JnuEEzVLaxuIIUPlHgsXtywPJg\nkSgMqI1h0OnS7XRp+QHGCLSStAP/sXqXVoqiLOlGIb7nkJ/ZaD7di+53Wvie83jU6em2mxRnPvMm\n5bXvfofB6jNcuXGdt177BpnU/OCb3+DwZI/TzYfMRzHrl5/DxZBlGW7QZqET4XcWefGla6xff550\nlrCyskwn9Al9xQ9vvkens8DiQkQax1R6yvAkJk1L2u0O3XaEkYYXrr/M9t6UKxfW6S0OqEtF1Cpx\nvYBv/uV38II2phxTleD7Au0bTOGCcdnYWOeFl66xu/19jCk5Pk7QDvjRElJ6dAeK0TAm8rv4PcPh\n/glaWVrddfZ2b2GlYjyqf65S1y88IcfJMfE058YzXY6PT1lZWqCIBfM4o04VWZ0xvB3zueeeJZHw\nzrvH9DsBi4s+1lg81SIKbzCaTTjaKVlabnHnYQy1x/n1ixSzEdqvWFvrcX9rRGUCVpYViwsXuHjx\nKsnxMcsb56iNxXN8tHSJ41McDF6ry4OtCQuBodMdoNFI7WGjy1ivy49f+xrv3npInk0o6wqjIggX\ncAIfJ58y113E+ISJ1giZ4adTJjWY0oK1JFXK7Vt3mE9ivMqQaYc0ySiswUoXKS3zsiCxOcKBNKuo\nqPF9i9aWspTYMzhQpYZEWepaorXA9z2cXFIrhfErVK3Ja4EqBa1MUJUlVkGlLGkFYajQVmFEc1wp\nLVpLjLEo3fSN86JRAxJejbVQ15aqdjBaYoyhrjPAIbGGUhS0FlcgSZvkLWtqbbnU76FNhUhrfA3z\noqLyLf41TWBL4koga8GpV3HODRjNCvxzihMvYzwtWPdCmFUQtLHunDxyycsJRx1o+204LdHSJdOa\n+2bCsmqjC5fZRodplLCvEop2jet7iF6IaUnuZJbSc2B5Ee25OFhKVTB3BaMFiRO5qPNtKmWo25JJ\nqvGtQuoKLyvw/R5pKenVigVZEbZajKcFodJ0ZzV+tw+eS6UrdBbgLw7w+xrP8Zkej1GuQleafDTH\nNw6tQuAd1nA0Y1C1cS+0mGQZaTLljdt3uH24yffeO+Wk2CdxfTy/hRstMAqXuHjxAu3eIlFnEeH3\nqYqKooTMtLh5EjOJa4bDOSvrA9JqTnwyRoZdzm9s0Gm36YYh8eyUv/rh9wk8n1Z/kW7kkpcN5Oxq\nhf2pyuiRR29tLEXVjMsJYRulM2PQWiEQzPOUJI2RqhkvyhGkecrxeEzXc2m1Owig5XpI2SRUV3tM\n0hl1ldPyog+wnR8Ja7S8AFd9CGtYQFZWuFqjlaaqK+ZpirUVkd+hmZ1uDBUeVXtSKhztIoXEUY0d\nKWWO4UnhF2JwsD/zo6w5g4if/E1jKREI0UDVuiqwdYVJZhRFTlVklFVJVZZU1pI+6t1b+3iWubGb\ntB9IxgBVVXE6mZKnc+osQbkejlbYskCLitJmxNmYLEvIrYOWgqLI0crD0RrP9ZBCMk9zHK2ZJxnH\n40PKqtmAGGM/IKX5yOUpK8qfESN5FB/1mLEWR2tc6fHg9tssLy8i8wlJlrN4/gL33vkJs6SgKgoG\nz32Kr/zqv8fF1RYHJ2Ne+eLnuXHlHJsPN1la3uDVr/wG1y+ssXnrJvvHQ7bub6KVoNPrksVzXvz4\ny9y6eZfz589R15qySNg5nONIzX/4u7/P9edf4MaLz/HWj95kPD3GGsFkMqO2FlPndKI+Jk6JiwLf\nlThei+HwBD/wuHP3J7QjzdLKAqG3ysa5Zeo8R8iEuqyoKkOWTSmLAWVV0OuvsrP1gH53keWVZfb3\np//mSme+cP1FeqtLtPw+q62Y8VFCq9dDoDma7TPfsxgd0CPi+5vb9NsOna7B2hrflzjSAyas9j/F\n1ua3GI6PKfOa5egK+fFtrl1Y5cHhQ47GFUmhufHC8yx4I9p+yL233+LlL36evK5o9zu0+x2mwylX\nLrY43L7FaDzi0rlVvv/2OzznfJrVRcvhcJeq9TH2fvg+wskZ7uW8f3uMDju80L3EOG/kLzeAOJmx\nqmvGSjOvoNVZI9na5uv/8v/it37nd1ldXEX6IcYYrDUUTxmwV5VkXAus9QFDUdZYk+F5itmsIAx9\nilLhCEk7txS1oE4stVdS1wIhKmJZIqVPnD76NwtUK2RmpsTzikA0MFSZapIUtDZ4LpSVxpiS2riY\nOkdISVnkaKeF51YYA/N5QdQdIIuCoigQQiOkQ16kCOGhlWEc5/itkjyrkXlN7oMflNjMUnYEo6Ig\nKVMW9TLTecxMdzgJR8iWYCVa5M35CWvLizxIRyx3FinOz/jR/JQ2LsFywSSzPLd+g71qk0WgoILL\nHQwQ53OuLKwwrQqGzhSnlFwu1lGeT5ydsj3MSUanPLOxzDMrzfXZuXkCKxXnu30mwxkrswjV87FH\nOS3rEdcJVVuyuBbhHJZsCIHXDkiiRS5oAfuHQIiXV1z2JVYZ0v1DJpMJM+Eh2hU2lxR39rDWMkoS\nsjjlWZVyWgncpXWWnRN++GCX/uKAtUvrRJfW0eMWUik2zq/SlwPO+TXvzWquPTtnOt3ABAGF69Jr\nLVPUhnK2z/FwyNbDbeIip7f0DJU75+r5C2ys9AldgRAwaG+wf+0d3nzjLtMsxt25ye0qYt2RTOKc\nH772F9y9f5MXPv4FvviFL1HUNWlZ4OkPchI87VNUOR3/CZyblglaO9RkONIjrVI8R+F4AVpp0jKh\nmo9Z7A+4tNr4NBtT45wlVgUkZQx1QT/sUJoPLvK1qcFaHPXzmcgCQdtvNpNSKAKvdaYJ7QKWuqrQ\nSlNWDetdCIl6ipzkagm+B0rjTYZPHfdvFz1qsDVKeQjnjNjlhzw1MIhJZsh2n1aWYPKU2EgiN8Qa\ng5/H6O7C3/yEGoxIKSoPKVwWei3ys8/oKBdXN5MQ07gGavrtFqNZTL8d4jqKKPAfm0n8/x1FVaO8\nFr/xH/9nzJJD7n3/2/z4jXeYzudEYcSvfOpT/NOvfQs1n1GMx0RhSMcXnO494Marv8bHZznSVPx3\n//V/zn/7P/7P5P/sDwhdD73UZ/PH9xiNj3jm+stEqocUcHiYEwRdQl9QFCPyLOWf/OP/ksWFa5yM\nZ6yt9RmPj+l1HdLMMB0nLC0tcHB4wJlzJKfDHNgFYDKRTKcpUeAR+DP8cMz+YcZ/8OtfYXfvId/4\n7nt0+i7W2IbsZxsM/yu/9lssBg5JmvEjtn/u9fmFJ+SgdcogWCHHcDyJ2R+d8MULLntHx/huhNY1\ndVDzp7dvM07nrA3aBIElzxWtQOHaJaTW3N46pNe5wJ99831efKZLWRdUeok0n7LQ+Ryz7i5Lbcm5\nxWWGp5aj47t0ex1c5zoPpUu7KkgmNaCYZi4Tu8TGwjrbu2MC1/L1v/gBL1x2eeUTzzI+OKU3ELzz\no5SXXnwGpMf66vPM7RN4ZhatwumQ/SBA5DW+9rh96zZ3797h/q33sfEBxyLn2Wdv8L07t3H9AM+z\nxPPGelGZEqXPdKONwPMUVRWRJAlKa5AeYFBOSYlBFAJXgskFQgpqxyB1CKapWiMpydwQyhl1bBm0\nAmbjlFrXWG1Aes38nWwhZYGUPnWVYwyYKsNxQ8o8ISbAcQWe55HMZhS5QTuN7rHjNs5XoDA2JCgK\n8spSmBoCaBuHeqKRYYm0gvbMoZ5VEJZ4mwq1KLkwjiAtMNUJGxsDmBnOucukJwnxKGMQeXSFZvGo\nJpaW3Yf36OQF3cyniOA0jYlnBcvdkI4SOJXLJWeJJGtTZGPqImU+S1lq91isLUd7NbmAusiJhGV5\nAkxGDIQgkXOqOzWHsWGft6gqiTEVSJf5bIwbdtgcJ9j6FgtLIXeOx6wHPWzLI2g5eLVAWZ/5mS60\nO1W4gYvoedTG0ltfwa1KvnPrHgt9ywsvX8O4Pr/82U+yu7NFZ1Fw49qzXNhYZTieEERt9nLFvsko\nOi1ODqfU7WU2ZzlpPEeEM+bDlLVen6XeJS6uXSPAJbNNH3Q1sHihR5ka4qpk9/RtqkrAcp833/wR\nO+/cYnV1hT8f7nExatFd6LK/fcDq+i51UVNaCB1QunFHakaBLHmVkVc1WTXF1QpXuTjKoTYVgRNS\n1E8qu9o2bSYpJKurjeJUZUq0bJ5f1DlSKMq6wNM+WurHY1+VqXCUQ1EXZxWxaswLTAGIx8ncnOmb\nSyERQmKtoTYVnBWfjxIwNO5YWjkIIanq8nEFrpWDpz2EKLBA3vtoH1uTpUg/wBTZmeTqk1B+gMlS\nhFSY9EmiE1qDMQhrGt/gIqWwFun6uFWFyZterXT9x69zz1CrmREEGKTXjBNVxvD0FFPFE0Z3ZerH\nGxfX8UEIiqqm5Te64I+0wfOyoihrTsufTca1qVAYhHL/Wk3sj7xOpkYpzUp/GVd7fP3BJnt7+2jt\nceXCCve3Nmn3O/xHv/XbDAZ9ju/scO7yFd7YGZEoh0s3XsIkh1y7fpX/6vf/Eb6n2Ti3ynJ/kStX\nrjKfjZgMj/nm9i5ZXiOKI6ZnHtNFUVFVNWnh0B9AFATcv/s2QRhxdDzBPeM+5PmclZUuR0dTauOT\nZjVhoDh/bpHCjlheOk+rPebqlQG+d5Wv/tF3+D//+Z/Q73dZObfC8f4BxkAQDAlCB0cpDh/eQSwu\n0Fk695HX5xeekA+PJywNTvjJT14ny2KuXujxxhtDuj2HlV6bwrXMjUecwNHRMc896+G4ktPRnOXu\ni8RpTpolLJ6/yvas4NNdl26Q4Hc2KDsLjN6/y/ULz9Ne2ODW7TvsbG/R7fawrVU+9slX2YlzKmGZ\npGf9DtVGqRbP3OiylRZoNSZsXUfYt/nhj0ZcXNtgmP1rJtOEj794lZX1TxG0Ao6mgmRqUSqnHnjM\n948QjkRMC1zH5d7WDnfu3OHezfeojGU2HHJu/Ro/SW7S7nZZWFkiPdyhKm1TbeqS2SQnr6qzSSdJ\n6DnEaVOxjsYJ5kyaT0qgbuzayqohP9gUIEFJqOqU3HOAEVZYqC1p7RBZwbRqyCqOWyOkpq5q5pOG\nYep6Z5C1EuRphusHGFtQ5BJxtiFwXAkYtOPQ6ffBWqbjCR2l0N2IyWmFlDV1XFJVKZPIZaEr8B6k\nSO3jdjs8V2TsD1aZn86QfpuqnONGPezorCqSOZERpHmIPxtzMp1xtLCOOT5ktrpOfrLP+12XJPao\nyooiy6jNiNgzdApJ7BhSJFHSQJynvkcwOcaUBWkBfvik4nMS8IJFjBfiKYfFBU0altQGnIUliuND\nVlb6hHXFKLZUk4xlM+VXPn2OyTd/zPL6FdaXuihds9CHSd4hEyHlcJ+Ffg/P9zk+HeJGEd3qkFT2\nSOYr1MWUlh1j3Q0uXb5AVsX0A4lyJPsT8JevczI6pIwz8AzZ4RbbXoTnz7ncX0BtLDIvJXU/I+r0\nWVSW2tT4kaa0CiNCjqYj8pNjTnZ2yDqKoi5xhcMgGHBl/RKvv/kOye2brC8PEGnGbDrnlVc+jnUl\nYavFn/zgX/O5Zz+GzCYU2YQZPhdWB0gdoB/NNFtLWRf4OqCsS2rTDD87qhH+MLZxAPKdgKLKMdbg\nO0FTUZ8lZakk7tnztdRkVYqvAyyWpIjxtU9tavIqw9MBR8MTup02QkiKs2Tr6gaOzasMRzo/V9jD\nGHM2Hc0H4fC6QklNIDWCFEf9Ne5W3hk64P0ce72gIUjF2qHlPVl2k6LRgY68ZuMRnF3GWVogpCRw\nFGlZE529RgqaefGndOmVFBgrsbZ5zJFPuVkBWmoc5SBF0zooyuoDutbV2Ybpo1S2pJDkRYkr7EeK\npPx1IYSkOBM1ivfeYjpNAc1yv8vpaMo518MKSVlVOJVh88597m3u8vzLn+UkGdIzHr/8xd/g+9/9\nHkJ7jMaHJGdudJ3IZ2trRLuXMTwes7raw5iKJBW4bkWeNwikdkq2t+4QtAZ0og0ebD7E4AAlrZZD\nnlccHU1QXo+259BpRRRlyeHxHq6rWOgrJincujviwrlbPP/iOt967Q4Ptw/4+Isv0BusIdwpx7tz\nyjKn1Sp5/oXn2Lr/AOWMPvL6/MITcqB8vvXa28RxSSt02D6YsrcX8/JLy9w+GCPqjChcpT9YQdQN\ntD2OT1gIu/RNQiIstamwecaGH+Ce/zRdUSOiHje/+xPWuhGHkxFzsYJeusTt177F9e4CYbTG3dsP\nKfxlNE+EDuq2g5qVnJQBJyf3+Mz5AcdxwerlZ9mp3+Eoyclxef7lTyFMQKYiZsppFJ0DjXUkIq+h\nsghTY7XkxCb8+Dvf5vTuLULfx4sCvvHnrzH7wz+hrEq+/O//Jnv33sPpLLGkLFIHSJuBkLSsgxcE\nOLomz3P6C12qMsGRbeqnSCXT0SnKcVjqdjk6PCDwVMMqNY2DTG0UnmuoyppaNUl5TI2QAm0NVWFJ\nyxTPSdGuQ1HkiEKSnd24wmomsyG+72GMoapmH9AsNnXN8JFer4ATwB7sIyR4SrPS8omWBrx1Zxvi\nOekoa8hirsu3oxZpmiIFpKqx4hMSpAJTA8KgnTbW8/Gtxml3KJIM1R9w984ubpnwyY11VG+BW3d2\nuXrtEkpoVjoeSZKigj6BVKxoy/O14Y0wIKhzum5Oy8mpraEoCwLXR7o+2gu5f6JJk5yPhx6nriTW\nilK1wLf0By2cckKUtzm1c+K9UyIVEXvrJE6HzvIKxlqkkyCJSG3IxRvnqeYHuI7LympAiYOsPFxK\nWp0BW5tD/vL9GcuDHS6dP08eF4Rr17h97wF+N+d7/+prfPnzX0B1Q1rS8Ctf+RT5dE600Phg10Lh\n5pIgCjCqopIe2Txj5zhlNDmhwnCyO+LS+WWWNjZY7PewdYkqZxTHD9k93uI5v0REA9IkZ9L2ubg0\nYGVpkcS02bz9OnJnE66+wNf/8A/4ym//Hve/+zWunfsdvvov/x/+/t/7h/zw3bf4xLMvkJQxRZ1j\nscizKrqsC0Kn1SBXpiKvclzlos7mbX3tn6nLhZSmqUpd5VGcJfdH1XHoNvCrpz1afhtrDOeWn1Qd\n2v3gkuaqxrawOvO51WeV+yNoWkqFMTW1qX9G1OLR+M4jx6sPi+Y5zWTC3yQ6wQch9rbfJEpjDUnx\nJEk6WhG6jahQ9+w18kycxBPNuRzlNhuYMxJbUwk3r1dSPe6rCyF/5rOFvkuaFWitiEKfyTz5SLcn\nISRaNxsbY5tZ8Y8azXo6Gga7xNgaQfNerLXkWcy1Z64SBC5ht82d9+9z4+WPwfEpV5dXuH/rLe7u\nDumuXUJ6Nde7K/yz//t/58d336CcpMwnI4xxUdmEw0nC2DW89OLzPNw/5pc+e5XbW8dYc0pZzHDc\nHu3BgHh8wPA4RitYO1cxHtPY5sZT6kqTZRn9fos4Mbz62Y8xjxOsFTiBz2vfOqC/5DOZPcQ3HkcJ\niMxnko1ot1Y5He2wezLixeur3L13yOpGG1tZ0uyQ//ef/XMcVfL8cx/7yGv1C0/Im7sjOgseYdgi\nChY4PH6IH2jeunnMC8+uYB2YzveZJ4d8/qXPoMMVdP6XrKgOh3JE4K+hpE9k4OHhHpQR8bUrjI4S\nok6L/cPXqKp1FlYjYuHw7/zbX+JIRchJQi1/dqenzkYIqo7D8I0JK88usXJuQLB4mUhU+N4iK+tX\nqf0IattAfuNGJAMLalxg/OaumBUFi8trPLz/gF//nX/At/7VV3n4k9fxvYC9nS2ssbS7He7ffY+9\naY51Q2SucRGsL2+Q5IeY2hBEEa4j6fYkkhm1aVMXCu0/ublnwqNLytJSn3g2pLuwQM9vUTIFW5FU\nfbrBmNm8xPW6+MIjLkscZ4aij5lOKaVCnRHKUg1Yg6tiHEcyTdpsb21x4eIl6nJKnmcor0/Ld4iz\nElNXKKYEvmI2r7AiREjdjJzECQvnQ9aWL3L7/nvISDLoX2R8tEfvYptArLAUKKKuT2inZGqZIk5w\nWyFVXlBVJVlh6ayvoGbH+F5KmkXUQnFctwlPHnKlu4AZrHM6nHHx0jmiMKLf9jkYHlMZRRAt02VE\n5Ag6M5eodZ5Vf0JZlgjpUaQpXhhS5BW1t8jqwpyknZIOzjGeTuj7Po72mJiE/aoNoks/zOn3Faf1\nMnXLsrq+RFdk5PMpk3CN0XHMiBzIeWfyaGecUpUpBRqnTrGzCSeThKDVYzqfcqo17969z9VrV/Fd\nl8986dfYHO6x9X/8AdPPfZFfWl1//H+Pej2KymAJKOuKk+0tkiQhkRVBK6JMCi5eWGDR6+L7bcTF\ni8THB5wePKAeZTDb51K/TbE54XJtePXGNe75c97dTfjLd2OSecq7b79DGbTY2gtYaXn86HvfYnDu\nGTbv3EbqDu/efR+vs8S3f/QD/uTP/5RPPPsC0PSVH9kNWvsI1s4w1uAqF0PzWFMxN4NK1VmiTGZj\nwnaHom4gb+Ax5NpA2R67+1uUdcWljSsfvH+lbuDpp+JRMn7696qucB2PsnoCpz/9+9Px0fWg+Fv3\nlAE85ZHXzaYkKw2RFwJPoOLyjNxlz+aIBOKMvd5cp0fhaP8xk9n5OQXuo03P0xuPJCsev+958tcr\nr8ET3epG3/xv+EGfCoF8nMQ9VzMzLeZpgfR9Hmzvk4Y9trd2SGxDHt3ZfJfrn/0CvlJs3nuLeStg\nfa3H9/78L1kcRFw4v05eJujUsFNn/OZv/QZf/cN/QV4aDk480vkcc1b9zycjtFvQ6iwRz/cQQjCf\nlzhOm3/we/+Q6cE2r79+k+F4yJULG9y+f5dLl65w+94mpi742Cu/RM/3+M4PXiNLSopKMDo1nA5y\nwtDlzXfeY211wKDTQjges3mFPkm5cGEDJS1SHXGwm/y1m5hfeEJ2nAUuXLjE9tbbPPdsG9dt0wov\nMYy3yeuU6xcvMZ9MILyMcVaQboeD/Q0eTh7yyudeYrAuuH/3Hrc2T6DcwPHb5CXUWUnh9Th37jJC\nHzKfvoPvXqawa8hZidUu9UdIxzlHKRdXltnOutRtnw4lN77y79Ivck4DH3GaI7WmLApqa+muLJMO\nTxGzXUYzl2pyRLRymaN3bxHmBe/f/mNeuHiVu+/e4sV/68u89a2/oG1zXAF5nDJLKhbKjKQoGOc1\nmw/fIOh06S0sUVmLbPWwUfsD77GAxzv3xfgBWWxo+QG95fOEfiM4UJRdlnsd+kIg6GNlTDsISaua\njoCq7iCsRQYhLcclz1Nank+a5wRBiyQ5IAqWcdyEyYmH4zrUhUCqiHYU4LsaoTSBp8/KWWi1FGnZ\nJq/B1hXSDQiiLqtra4wmc1xvSLs1oDYHVFmIu96m02vTdiEsc6q0ZvHCebrtLty5T3l+jaMyI/AX\nMS6sdHzSXFJKH397hrECt9NmVIJqtbj67HUe7BwT1i5laumuXaISmjtzyZLymMweEkRL/Pl2I+SI\nqBHCw5yWjE+PgSMc18Mag9gdUVc1nf4C6dEOKplRKhd6C+SH++iFZawT8LW/uI9ZOsd+HHO4P8PT\nCcJaEiuQUqKUpK5reoOlM0GNslGy9LtI1WJ7c48L126w0PbRdcXdh9tcWFljd/s9Fp0+sjb80R99\nlaXf/gpXz68zl4KT2RHD0yNkXMFKCyEs51bWuBxFRJGiSHL85ITD4THx7AC3TFi0OcsYBmYN6faZ\n7h3T6Q3wIoc1jgnuOnTDml/+u69y8we3MUXFD462mSUZ2ZVztDwPwjVubr5GqXx2Th7S6a7x+vvv\nI7yI/+F/+1/4L/6T3wV4XE2lZYKjXBzpkJQxeZ0TOOFZos6b6hjbJHEspcnJshztuk/1j8vmGGdV\n37m1C2dEpYYh7WiXsiqa6lc5Lyc38wAAIABJREFU1PWHM32fhKUo/2aJyNM+zlO+2x/mmJSVZ7Or\nZ/dj4ISk5YeJaghabou4mONIB/X/MffeQZLe553f582dc5qevDOzszsbASwyQAQSgVkkJTFYgRJP\niT6pZN2p6uosl891p7PLKldJllxX9vHs8ulE+SyKBAUKBEEihwV2F9icJ+fpmc7dbw7+o2cGC2IB\ngiJ91LP11tZ0v93967e73+d9vs/3+X5FmW5zhXC+D2F7yKqXfFU0OXSTx/cgaMPRCYLeMZPeIzlK\nkrLdR+/t0Bu9ejtrB7Ar6PEPB6F/dOy8piAIuK6NJCnYjkuimCWXTVGrbmBnR/jkHcd49e//M0Fp\nkKZp8JHHPs/zV99k+cLrGLU6//6ZF/j0px9lbbXCgYP7KfY7nDx5hYitE1IsXjp3mZ/75OOcOHMB\nCQnHXoVAIu7K1Hwb0dMxOr3pEQRwHAFVU7l4+gRrbohbjuzj0KEpTpw8iWk6PPX9F9i3bxQ5UEln\nS9jlPvbv3c/y2gbt9hay5OK6KoKQo5Br0Kh3yOZ0uo0a2YxCsyXQ7qrUqnXi0RifeGyCVuvmn+lO\n/MzHnvygjtnZQBQFVMFlYmyYqaOP0Gl2qdQ2CHwdRVFIhsByF/FdH8frUEjHmUhHMBWHZ1+aBjTu\n3T+OK6ZxIxFkJ0BNRQg7MkJgElKiZNMldMvDEWS8fKh3ItsOL6YgeMHOiCWCAKVsAiHwMbvb/RjH\nxwoEUp6DKUqEI1Gef/klJE3j3JVL9BdLvPH6CSaO3skLf/8kliRz4eJlOo06s3NLXF9YIhfTmFmp\nkNZE0pJLUg6hayHMTgfdMBBcC1GUCCUzeNE0ZiDQ9UVaXYtmvfWuzW42satb+K6DK0hYho5lO3Ta\nHZr1JgEC9VaHhmGhd9pUHRHdhY7nUw9UXMtE9wQaQoiGK+B2Wli6SccXqfgSdsei027j+wGirBCP\nRonH4giSRETTUKTeHKqmKNhuCD+I4AUh5GgMT1YwDItas0U2qjF+8Agvn76GYWooiFSbFq22BbEk\n5ZhGpjiGIEi01TRdKU7dhk1NY93w0JUwbd1CN0xWtprUHViubEAkSjiZRFFimHKEtu0x27RZXF1j\nY36O9UqD2ZUVFtZWaDk28/Oz6KLCWq3K0sIyi7OLWLUKlutSr1ZZW6nQrLeobdXxPY9oLIJpWDRq\ndbR4HD8SZ73WJRaP0tAdbLu31Rpdoukkcjjag6tVDS2ewDQc8skkfSN9OF2XUiLG8MgIpUKRoeE9\n9PcPkIylmNw7iqRqOIZOcWiIxYZFt7rF9ZPHcZUQi9evowYe1VobL5FClDQCVWJP/yDFvix7B8YZ\niSrIng5Ol42NKjG7hTl7lXygU1BlhqQYJVFgjDZVQ0c2ZOLJCAnaKI6OZJlkhhOIDZ1IDTJyh8ly\nidtzOVKKhCjpJESblUszLG1ssN40aLe7SM11IoHJWrXF//gHf0jXcZFEEdM1cH0HVeoZcrq+hywp\npKIJzG0ddFmU8IJeP9gLvB60HUoQ0noO3ztzxdJNpCRlUUaRtW3SlofrOYiihO1aN93/Jwnd6eL6\nDq7vIAnSu5KyLCkoUm9cStomkkmitN3LFrYhWx9V0ggIkAQRVdZ6xLdorPdethO0JvegenlbEvdm\nodzwejeGJMoE2xcPQeDvHr8fFbL0tu3lzSKiqT2yqP8jeuk/IsRtVCQWDmM11lnZajN28HbGhwYp\nl8qMju2lPDLJRP8g8ViKqYE9dI0a1VqNTCzC+YtX6cohvvSLn+WV557H91y6ThPL0/jCL/06mWSC\n5YVZpmcX8f2AZrOnjiYKAvun9rFneIh0LolpunzlN/9rfM/k3OnzPHj/w9DcYnZplfn5VY4enkLE\n5+ChwxiCRtiusVndpKNbJKIKGxsrIPh0TZlEPEanY6FqEoZu4wQytmmi6yaO1WF1dYNoLKDVaRCP\nR1hcbv/jHXtKJDViGQVMh7gWZaM2z2rjFcyuTTk7ieVMs1qpE0maRJmi7Q8iI6I7AeuuQi4sk9D2\nYNlrJIYE4lhML1mYokgQlUnJaVYXW3S2moQSk3idOoQKCEbPBKDUl0Kw2gSyQtWVsAWLeLlIRNKQ\nG/N4qT141TWklgN+gB9TiGT7iJotVnybudMniJgtmpLK089+j9WtLlf+3V/ghpO0jh/Htk02kyUI\nJPqSEfRQDOotSqkwQs3BLxUIJXNYjeso3QpGbmT32PQpHlVXxA5u/qPMyh5VVwK0HutahLZPT49f\ni4J2AwjmASjgC7Rce1sT20bwPRSvi630Koqo0UUPPHQ1jmv4EMj05igAMcZmwyFitdC1OHRvdOHp\nHc/daLYoqx5OIBAWAsqJOI/c/QirWybHL16gFosRiqVJVFfptNqcC0UQN88g1yvY+QFqWw1S6QRO\nbQstX9h9WqW6hpMpgaVjb1VRcwWml6tcX+6NpeTyaVJaF1ELcXWtSiEsomXzuxYFxfF9mEYXVQ0h\nShrt5lUygz0P4NXlDVLpBNl8zxkqkc5uE2eqDIyM7q7h/ttuxU+qKKJMPpLr9ddUDTUU3j2BFuIi\nlbaP3qojqyEWa3NMjI3hbbbxbIeFRoP2Zm/NBwoFnnzlFUJhjdsm9nJtrQ6InHz9FNFkkmt//Vdo\n4RiuaXDprZP4js0f/ss/IhANvMoyLd1gafEK/ZJFrbbMPiXCo2MZzr65SDydp9uoIakaghImajYQ\nw5CLROmu2XS0Lcry2ydZv7qJls9x2eqSVIZYshuEHJGxwTDDqkJms8G+PNh3PcyFmsKJKxcYHenj\noi5wMG9y6cxzjB/5MIb9Nvy6U9UGgc/F65dIZIuU071jLAhiT2/8hnEjy7OwXHMXrr5ZGI6OIIgs\nL81QKA+iSiphLYbr2u94rp9WRJToj9zHcHTCSoSu3SGqxujaXaKSiij1Kn1VUnuEyyCA7X6wLCkY\njoEiKvj4+IGHhIQk7MxH/3ghSfI7quAPSsBy38/xAAhpyk9tFEoSJeKJGPOtdZbX1nng4U9STL9t\nCdkxLGzHRZJEbNvlEx/9JRauzrJRX+Dq2Ut84av/DcMjh9l7YIpOrc33f7BCspDg0F0P4taucmB5\niv6RAb731EuUB4fJxiO0ux1qTZNHP/ZZ+vMhXnrxOI985OPcf/+DPPk3/4G//D/+N/YNDDKzVaVU\niBJwgK5h8eR3n+GXP/8p/uaJp5m+OsPIyACPP/oAsiRz/vIc0YiBbbRwnQ6yJBKJCLBtWRqLygiC\nSzoTwrY9Oh2Bxg1GKjeLn3lCjsVkOlUdXfewgnVuPZjjwqWz5EtpBvK3MDF8mKvXL1IuFgllxtk0\nVLQoXL/0Oi+fWmZ/cwSQiUdFVhbnKA8fJBsH8HG7bXRfIpHYz0p7Bsd2CMdiOAFImkBYA7vdwO50\nCSdBS6hIdR97dY3I4AidrotgzlMKiehh8NwAs+WAsMCWGeLvvvcMcijClZUKCCK+pSNKKqLvEWlt\noLku4WSGXF8KK56ntrSIazUBAc/1SQ+UqXcN2tV670eUKvWMI1QRtVvHsH3CoSgRVUOJhJAaFRpC\nDDMQiIg+pi8QE306/gc3HQ+LPobf0yYWCAgpEkIkgW32Rke64dQ7H7D9g1ZVBdd18f0AXXsvP8/e\nvjHRx3Bc1poGgSBRCMmY2TzPXTnPst5FVmWajRaq3qIqh8mn4gSAL6vY+QFAoFgu4tgW0fIA7nY1\npagqTrYPWVaQFAVtcASAo8cOIQg99mhEUciUC3TbLfoGSiQjKTpmm4CAcDROt9Mkne0jEUlSq1RI\nZzNkZIlQROTeqf1IUYmNjoEg9Hqfnu6TT6QYTYa5trUGwNLiHILpsmQ5jPQVeOvcRbLREIHRIZQt\ngtFlYrifU9eWSAo+xrYRQyiskZJ9pADUWJZkWMP2bTqqxqFD+5FCKjlNYbPhsXDpLHo0w+baGnvK\nAySEgE2jTXHPBMfuuYe1qyegtUpBEikrKqO2jVLpMJUL6OgmK1euUiqkEd0u2kCSykyFdLqBUygx\nb/X6sULaYq/c2P30TEvGjYSRfYnb0n0Yhkm2FWe9s4mYjZGvt1k2RYy9B/nbs8vUTY99I5Osbc2T\n9BWiSZl43x5cz8F2/V2JTd3uIokSoiAxsWcc13fxA38Xeg0p4Z4OtSAQBD4iAooc2u0t31jhWW4P\nZg4rERzPQReE3ftnZi5Q7BtCu4nr0j8keiNVPRTN9t6++NxJ+JIo78qVCoKAJMqY26xuVVHwghCO\n56BI72R5/3CS3OkNi4KIuH3xcjO4+mb98R++3/d7sLm0TVZzXKcHW4vvnLH+ceMfmox7o2Q9hKNn\nwgFhTePNE8/xV//5W6jxEssbq72KeVtQJBrueRd0u20W5q7i7RljdWuN9UaTQ3fewamLZ6ivzSCq\nGgvLVzlwaD/RoT1YW+uMlCeQ75cRNBlPdykdPYI+M81Wx2Z9eY5vP/FNzG4HXw3xS6aDJGtE0lm+\n8KXP8+0nvonveayuO7xy/PWeOIwItWabo4eO4m3WSSZj/O9f+ytURUSRXIoDQwSuzcLiGigBzYaH\nV5uDAOLJCK4D6XQMRbFI5cLs33cHFy6/+J7H62eekJ1AQAypaILL3bcWyebT+G6EQnqAQE2h+xG0\n8ADVpo/QuYwvpHECg4bdYDBVYGurdzVY7pdB8Gk201QlFRo2UkJFr3moQZq+vsNoEQ0CUAjAtam7\nkIyAmggDDl7DIx2FpgFic5lEVMXxAxqSQjpk47pgOr3Rg0w6zCOffJD/+CcXCXte7ySgaEitLSRZ\npRyJkAmFabkuG6urON4KWiKNiIAOzLY9ik6TNTPAx4bAR2ptQXYQ3XSwmg3wXLyUBoEKRhu5uokv\n1pFFESOWgeYmCAKe4yH1bVdwm0uww/gsjEBzE8mzCLYF643MAABSbQXf87AKw+C8kyGaknwaXu8k\nFxN9MkMD2Gsr+FJAIPWq4HgsjJu8+WymtbFOdrAffJdmx8KrV0jlh0BSmTo4xtRAPy+eOonuB6RT\ncYaGRrEch8Ft393MQJna8ioAQkTBjfTWUsoMsL61jNJw3iFbuGL21J+W5xbQXRdzcRmnUUNJZZBd\n2Lx+mXUzIKv4VByJsBjQNzzE9LV5HM8np/pESyXwfWKJBG3dIJ7qeQKLXsBQKkV8YA/5Vq8n6PaF\nkJo2OUllfHwPMVElPlggpkR2iS/pbJ7BA1UUSSSQBbK0qRJHbK/jBD5tU0awffTuFsbiBXQhhrgy\nzxuNJook0q7XkW2HgVKRRm0TP50hnc5z2+ExXnvmCXKPPoQ4u8DYVD/1zhb54ggVfZOqViCMhSrE\nsWdWiA+UkNsmhw+XMZcXsCot2BaZCDSZZksjGe8lG91QuC47JLQw4S6kZI98pkUupTLrucwudqkO\nDnPN6QktlDJRnKhIpRol7bZJZwf4D3/xF4zsP8hnPvNFxO3+z47hgCRKKIKCZ3d7bGvPISDAdIzd\n3unO/67vbhPDfEyvx/4NK5HeKNd2slIkhfH+kd2EnC/17zoT7YTt2e879vS+IbxNiAqLkd2LgR9O\nljeSplRZQ7d1zi8ukI7FKMQTmK65u+afJN4vGe/cL4rS7no8/23DB89xOXP9LP2lfoZypZ94LR80\nsskkzW2DCm3bfCMANqtbLC+tMzgS57t/8zWiv/a7qJLGcLGEZTtEQyoXz13i7InnOHX8BRqVTfYd\nmERRVP7+774HkxM02ja/+3tf5Y3XnmWz1qXrmwyXh1AUgVg4wavZFFMjQ8y3G8zPnySXy/DlL/wW\nf/LV36Qd1vgX//x3+blPfZS33rrEvkO3kg8nWfO6jN16hN/41d/h3/zeb9KVJObn57h+5TpaJsXM\nzBz9fSUuXrpKMhHj0vlZQtEosiJg273vu6IKRCIK6+stkok49UabWERAq5u8dfb0+x6vn3lCdnUP\ny44QTfhMz9Qo9+cQhSZ2J0c4ryDJMvsPTjEzvQBug4WV15gYPkYmpqIpUVQ1SUzTSSQiZAvjtNoy\nQrNLMq5QcwX6UgGOBaqWQO+Y6J5MOhYgIZFWHWwLVE2hZkVBDhAEnbjmo0mgaWFygyMsrVQQjTqG\nBWN9Mq7rYioB7apFPBLGkkLIEY2O45PJ5pFlmZKiUDO6lGJxJEvGjITZWN8gWSgRcR2iuSxzlTY+\n27NxvossCbi2QVQRCWVz1H0FVZIRfAdNlTCLo4iALAmE8eiYIaKhELYaxhECZKuDqfQgZsG1cAGS\neTxAcU2or6O4JkKjguvavRNgs4InaWC0IZZGMlo0YmmoriJqPT9bo7ZBoISx6psoiTSiKFKr1vCD\nFQy9S1wOcDIDICngWAi+S7RWpSNqhBSZgVSEA0NZ6opHNpQkUxzg4vIy7VqNcCzO3kKI16ernKz0\nKtDBTpuNa+cJ0gWaaxt0fJFcIUNEu8pWrYbreCiqTMyzSCfDSFoYVdJQm3WkbAopFEYt9U46o/1D\nhJMZhgmQJIVx1yGqyhw4cJjFyevbWscCguszX6szOT6C5VnkIilcx6LbNXBEmXarSTid7CEhrQpC\nPEd9dZ2Tr7yKGgrx1utvknDqSGoEs7ZBRUzQL3tUKlXGhqOszixTabt87OAkf3P8DEcPTqIaFnMr\n63zl1z/Dt/78P/GnX3yck0aHM9Uax8bDPHeihiVLxOIKja1NhEyW46cuUM4XOPPWFSYPZfnG2Sv8\nzuN38vyFazyU6eO1rTr9Wk8LeaIf5D6ZrYUO3ek2sijih0U0r4sStukrJnCWLGy7Z6rgxCKMJhJQ\na5DTNlFiaXRXxpMElFiB8IfvYqnW4tKVFYrFNIonMD+9QH++wGCyzNm3TnD+6jS33PMgvuAibzuI\n+YHfEwfx7F6Pc7u1oUgKXuCj3FC5ma65e7/pvj2Gs1OVBgQYN9yuyaHeSJSooKmhd/VLd0Z/dpLZ\nj1MlCgjvSOQ3Qug7zycKb/d5d0hpoiCQCwk9YqXvokk/nYr9g4Tve/j+2xfYsqQiCCAFAZMje5DE\n3ox1b0yrZ6xwI8S9w8SGYJdQJ99EDU24gSz2ftHs6KiKhKpCp+sSDYcwLJvBchlBgCuXT/OlX/4K\n52euEFNElmbP47odzK5PRNJZWF1nat84XdPFWlil07W57dbDxDJ9jA0VOH9tmrAW4vHPfY5sJMqT\n33uSaDKJXZ1lYWWV5lNPsbS8wn2338bTTz3P//Kv/pB2ROOjH/0E9957D//2j/819a0q165dQxZh\neLjMr/1X/4SJsUk+9aXP8L3j53jib5+i1BchlQ8BKjPT13nw/jvQHZ9mrcba+iqpdBx8gWq1TeBD\nEEQ5eDDP2loLvd2iVEiy/8A9nD979n2P18+c1OU6BrbVJhoTiYYkTLNNrerxuQ//AsXRMeKRMNHC\nEHHZp2k4JBMmnrOBFMiE40li4QiJ0j7CioWlR5EEAU0waVTmySUzvcF4dGLxNKFICAkXs2uhhpRe\nX1XoWZWVS1n6hvoRbB1VUYjHohRSSaRIlnymQCqsMDgyjqgIDAwfpLY6z/RKheX5RZKSRweNtORR\nt3wyYoCaiJMQwLAdfFEknk6xVa0TK5fxDYOKERDxbSKST1gMkI0qk3vHaW6sk4pFqFc2iMs2Rr1O\nIqzSqKwTE02cVhPV7tJuNZHwezCQbRDoLSxnu3IUBFRZJjC7iFZvCxwLPAfB8xDiGQI1TEgSENUQ\nniRDIkfYM4kkUmDphMMhBDWCFI3jhlOERYipMlYsR6CGCbQoyApyIoNidfDDCRBEBL8nZOKqEQLX\nISW7jBy5hee++zT7hwcxZIVO1+TK1ctoioRhGIxn0xhCiPJgESmQue/uewjHU6T7cwzu3cPY3hH6\n+ovcPTXGh+66kyNjRfYfuYXRUoojh6fYu2eYUjrD2Gg/e4b7KMXC5BNJEoqL16oTyCrtdnvXOq/Z\nbXPyxJu49Q2uXjrH4vws9coayxcvMH/5MnplkzdeeI71+TNsLi7x7DPfJxON8ex3vklqZZ6I1+Ub\n3/4Oj03GePnV1wi1Wjw4rvGfnniRX54q05ibZX2rzh9+9Ajffuo1PnlwLx8/eoS3Tl3gjz55AC8U\nIW54/P4v3c8r567yyXKEyeEi5199k5//2F288NJ5snIKWZZxOwbEYhgdHUGSaXkSRrfDerVG11LY\n3GyjFkbodkwqisC337iII8XZPzpMw+iyXK+RVSVE30NQVKKhgKhdp9rwiXZrmGII15eIRAWS5TQR\ncwuha6DIHkteghU1xaXoEG8aGjOijOn7hKIaqhWwWK2zfzSPVK+wb2KYRx77HHc99DEOHjjADoAR\nbP/bieAGtrIX9OwSHd/B9d13jPP8cPiB/w4W8+7tvrdbfTuevUvu2iEzOZ6D49m7r3FTzesfI/zA\nx3LN3SS2w2K2XWsXcteUEJFwHEVSdtGBn0RM44NEb/Tp3aQsP+gl6CDwexaw2zPJAiKyJL/Lc30H\nXha3iWvie5DjenrlH+w9tTtNTl4+RyQaRxYVQqrEhQtvcfb0GZqNDVq1Op22QUx2MJubHH/tZVTR\nx3E8jhw+gC/ItFst1ja2qG5VmZtbRMSl1jEJ2Tprps/UxCSC2UGJxCikc1w+c4K27nHl2hybGxWW\n5+dYXFqgY7ncdvsRWo0NLr7yCkIkzPjEIFcuXqbd6iDg0WoZXL90hrWNNY5N7eHChSsMDg1RWdui\nkE+TTGToGBaCJFPdrCHIMnrHZmrfGLKiYTsmmWyO/r4BohHQQmEG+yVkwcYNJOp15x+vuYRrd8nl\nQsTjRSIhl0jURzdcWA+4++5RigmXN0+dYGX1KrLd4nBxP0vrTcTQIK7XIhGNoQhtwn6cgUgCL7rJ\n6dNvUWtVSCQySHIEQQ5jOy4CIMkyotz7MomyiOd6CALUNioovsVQsUC2vId4aRRRFDF9GymAQK/j\n2x2ESA5JS/H1v/0Wrzz5BFIoSmxkD61WFz0QKYRlAllmo1ojXCpQQ4JUHN0LCA3todnWkW2LSOAw\nkk0wnAqj1RuEEj7NmS3ykTBetU45laYQDeOHXJKWQE5RSUgqeC5x20cIq2jhCI7eU4Mp5iNYhk5I\nBquro4VCGK0GihDgGDoyPdjKtW30Rg3Fs3AsC1ybQG+h2h1co7cFjoUsyYieg+q7KHYX0XOAgLgU\n4Po++D4RWSAlOiiqRkwK0H2RkN0lFQvTcUFrV9i7f4JTL7/KkQP7mZuZ5osfOoYdiIyP7OFoOcJU\nfwbD8omLGpLjkpAV/I3LoLfoVpYw600W15uYjQ7zZ8/y2rPPUJlb4PTMPFffOMnMxas8/dQzLJ25\nwPWFJZ59+gconsOrL73KhZPnKBaSPP3tp+hrboK5zpuvnuLTk7C2ME13Y5Pf+IWP8v/81bf44p1H\neOD+PRz/zgt87bceZrrlM9Vp8M8+dzcnjl/j9x8+SCwZY/X0ab76yaNcW6jzeClOsVjizbeu8VsP\nP8z1uSVGgi5f/vwnWTpxhjsPjnL3HaMsn7rIz3/6NuqWyfL0Bp964BAvPPs6+yYPELdtjr95icfu\nOcSJN6/yqYNZrq3WsbYqyIkMRqPB3UcPsKV3aNQaRCUBq1vDUxJ0dB1PCHj62ZdQUwlefv5Njt51\nJ9954WVyU1OUE2kGrU00XFTJQxYcBM9GFEAmxHotRKs0QgeFuNPC7nQIhvcyb0W4HkpzKVRkXisz\n67oYsoAbePgBaCGFlmExmkiiOgFHbrmNu+//OGu6TjYZQXiPZHyz+FH3f5B9/cDH8Z13JG3Xd3sJ\nOvDe8ThFVN6xroBgm9H83pXzznOaroHj2QT0CFo3JlpBEHefdYcxbrs2iqS+q9L+6YeAIqvvqIxv\nvG+Hed2TFL1xLTtrf/fahG1m+M7+7rbK2s7o1I/zfkRJppDOo8kqvu/iej4hySQe11hbazA9e43B\nYoqQrJBMJjj++uuE4qkeGuZ57D/yAImIxsy1a0T6h7nj4DgraxVEU2dlZZHZi2cYO3QrZmOdB+5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UgMt7NBOfBZmL3GeV9hYmSQZy43yZX7CKkC545fpNCXYHOzQaPR5Eu3DDC3ViUeswgXBnjz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1EEwdVzfB64NqAAKdbot6r8uB2KHmm8wYBssnjuNaIXFwaCwiJWhXbxwg6yKqKT8CNf9d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gO3zy+Vu8+8brnJyd/pBOtqFqlDSZSZigdoq0OmtkboDvB5TzOWYIFEwTVZHIkgQtnyPwPFRN\np1jO89b7H/KTq21ay0u83d3DIgABLl69xbPNHK+//Q1Gt6cQGtQvtZgce7hphhu53L67TxgvjC6S\nJGU+swh9DztIuXT1OhsrDeJMopjP8cyNi3QHQ2ZzD0EQyRsaggRkUKo3Fv210EcQRDx3jmVHTN0E\nWZR57eVnKRVNcqZBrV2nJkrsbG/y9b/6S4r5CmkcIIgzXrl1BVVyCKwZtbyBmNoECZTKdYbTGf6w\nx/xxH4eU17/zLvO5Rb93ysNHB3SWOiRpRt5QkWSRNPZpNRvIWkynWON4MEAUE7I05cazNzFVle+9\n8xGP94+RbY+Vq9vM7TFxBHEyp9lsEbous2kf3485OjomV65xeHBIGIUYhkqrUeTq5WuYpk4QeIii\ngqLliEIPQ1PYuXjhXB4lkMYJcRCTpiqK5DIZTxgO+3Q6Hb7/9nc56/fYvlyiaMrUGjnGgwWwy6LA\n3PWZzmyOj0+QVI31lQ71epVqqYisLJL1REkmyzLKhTz5QpEkW1xrFsoMRxOyNMV37HMAidnYqLO8\nssFbb7+HJorMHvc5GVqMXZdyWSVOVKIwRFIVfM9FPs8TTtMUVZNIU4HZfMpgZjMazQn8lCyTqTcM\nnn3hOcaDMcXSAmTDWCaJXKIkQTwnW3leROB6TC2bIAiIkoToPN5QYFHWfqLpVmWJLOMpIC8Y2OCH\n8dNe85ORZosgiPic5LVgdgtkLBy3xHPXrQUR7NxeE54GSfzgUJXzkJ80/aFj/ypA/trXvkaWZXzx\ni1/ka1/7Gp/5zGf4+te/zq/+6q8C0O/3ef/99+l0Oti2zauvvgrAt771Lba2tlhdXf0XAfmF56qL\nck6aUasaaJrE4yOPXE6iXFTQdQk/FqlUJUhl3v6HR4hpyuWLK/jJBMuy6PdDtjeLHB1PKGQFttar\nrO8sMZ71CRzwo4jTfo+qqlIxlmisF2i2q0znXZIYNC3EmiT0py5SIiJIGqNxwP7jEUoVpvMJhVwF\nMRPx/YCVjW3mUxd/MqDdytPuKFjHEyaJRZKpECccPexT0vPUWhUkQSITBJp1iThUWV7R2Tvr06gu\n8c69DyjoNRIxwdCK7B0fsVSrIKky1VKV/nTAcDgmi2NC30HXShyOhmQ0zsXrHs40wQ7PODycMhg5\nIKSsdJbYXM9RyLW48+gjQl/gxuU6Wyvb2PaEh49maLpMIgiMRhnOPCKXFxemDGrEZBRSqWgIosTW\nSpHuYEajajJzQnwvxswppHFKGKVEYUqcZDSbBsW8ydiKWGnpGLmUozOXuecQuilrqzp7B30EQSSI\nU569epUH93uIgszJ8ZT94yGtVpFSXmcyUhiNXVpVGcmQGQ49UiHjtWeu4gQZeiajCTlM1SQINY57\nEx7vHzF2LQ6OxswmQy6sXERCZnTiUsyrqKjkNRkvjpnPfBwnIQgShtOEZ66v8e03PmRZNli/UuLd\n3QEXtw0uX6wjYpImOl44pKTqHPRHeG7AeBSjaDkO9oYoWpH3P9zj+atrTN0uj477xNGcMA7IUpEH\nDx3KxSXu7w0Z9gNajRy7uzOG84g0S9mbTfFCEVkAP44xEdBUhUPbQT7YR+wecxDEPwTIa5UqOTFF\nzBcwylWm8z4tLY8uy6yVcsTlPIW8RpIsYuCyOEEUJUaTEW++/jamF7FZ1Gk9c4OTaY/lIGRtZYcQ\nmbduf5PJ2GE1VXjm8gqHs5B3j0YEWcrN68/jBzHD4ZjJeMpoMsOzbcrVKp4z4erFHb731js8c+0S\nd3cf8KlPvko+X+Dk6BhBkiBNkVUVSRSolUtkosja6hLFssGl7W02LmxAnGDqGh/cvo+WCaiFHI/3\nT/nUZ1+le9Lje+/do7XUZNAbcTpweOf9u7Sb67z02Z/FtmIeHzl88tOfY27NuLSzw92DUw66xzSX\nO6xsbRC6HsW8QZJ4tJstklTAzBcoFgukqcClqxuMBgN82+PCxW3yhQqqmmf3/j6SANeevUqlkGcS\nBDy8v4vnBGysb6AoEv3ukP5wgiiCbuQWYQiSiK5KrK0v024W2dm+wGA8pdaoMBotdrSqplMo5JCl\nmGq1jWXNefbGNeZ2QO9syvUrl6hVSgRRgG0HpGlCpVpnc/sC3eM+9VqHJMvQ1SJJ6uN5EWG00MDe\nvLbDdDKnVNQZTy0ePXpMs17C9RMKhQKu52KaJlmWMByOKJVyxJEHKciygBfElEpFsjQkThJmM5uX\nnrvJ/eMhpcubvLd7l5kdMJ0FJFGEJInohojjhAuAl0TiJCFJMoIwIk0yXD8miTM03SBNQqqlGsg+\np8ddRmMP34/PjVBSdFXB8QI0RaJU0vG8hRTqR4Fw4VGtnOu4MzRdJs14Kh2TRRFJlEjT7CmoKtLC\nkevJz0+Y1U88zZN0Yf4Rn6c4PZFOPfloXVUwzUWLITwH+fQciH8w7elfDci/+7u/y9HREV//+tfZ\n3d3lrbfe4ujoiF//9V8HYHd3l8FgwIULF3jw4MHTfvJ/+k//iY9//OP/TTvkl66Uaay2mU7GXDc3\nkBoGsmijqQK6IXJ5p8F8bjOcgS5uceNWh1TSyGILNSvQbK1x994jjk+m5MU8L118EdVNObVOKeSW\naNfXWL+oo2kpM9/l8HBCwVjDmo/orLQ56fbJa00MNSFKPdqN5+mNe3jelEs7S6hajDUz+Pabj8gG\nAX1nRrUpUy/Wee/eHqYgohcanEz28SKPjXKJTCkwD2QCacyl9W28dE69UiYIJUrFPGPnmNA1efDo\nASsdAzv2OHpsMZm57Kh1bj1/FSm/yrfe+Qeub1/FDfOMLYEHB3N6/SG2pWJZXarlIkv1daIs4ui0\niyiBm6ZcqK9Qr7UYWyekcQ5RmVCrGuzeHyNpUxq1JcxCwHK7SJbE5MyUuR3yzM0ymp5QrxVJ0hgv\nUbiy1SKXF9g/mNNekhgMI4Iwo3vqUau26A8Dkjik0zbJsozVFZlaRUIQE+4+jigZGesrKppawwvn\n9AYRsp5xodHiO++dIMk6aZbSWla4spNHUkICv4UXzBEVA8ueEwURRlmnd+JQM1SKeZNEmTKYJGim\niyDmkJKETKxxcnIMoshJd07EFFUQSVSTu++dUVwRyEsmD3tTHtyfQybSaqvUKxqnZ2O21i7y9sN9\nFC0ijRK+9/0Jopgiyh5hZJHTa3zv/X2ub65ydGqRL6hIKHQHM8rFHI0ljeOTEfVqi7woo4gqE2vR\nV05khbk9JQki1teq7B86SDmRVquKWdR59kaDfCHFPvKZxzE5AYr6Qva0XcjR92KGUfSUSCIIAhVR\nJler05MVSuUcHUkniWJmfgCSgqeo6LqCLC8cibIsI01TlHwe2xtwMXRRhJTOhRWa1Q7/cLQLksZo\n/xCzXCf05jwWbL778ICZu1hEDQenNBtVrPmM0WhAGIZEYUyhVMF1Z6iqzNz2KJWL5A2DtbUV/v4f\n32L74jqOPURWVEZTi2tXL5MkGTnTIK/LrK20mM88ZFlg//CU55+/QUyIkIUEmYQfWERBzGlvgOe7\nbF5Y48aVizz6/oesX+7wv/7H/wXPDznr9fno/ndZbq5wrarjxAp/83/9Pzw+G+HHAtVKmVxep1Ip\n4ssmk+4pqipSb9TxbZsv//IXWGom7O2dcXQ0Znl9jaA34XBwSG8wY31F57XXPkX/ndsMQ5sLm+vc\nf7gPoobvTzk+Hi0IRZpAvtJh0Oti2S71Vosg8JiMpnzus5/iH7/zj7zysY9x585DZpMJjVaDWrVI\n4EfYM5dH+4dYlsN0MgQiPv2JVzjp9tg77LN5YQ1V0fns5z7Nw/0uhiQTJiKHRz16pxNG4xGaoROE\ni36qLAlsrW9y1O2ToOLYLnEU0uh0uHHzMjPLIwk8wiDA8Xyeu3mD46OTRaRhFLO00ib2QhzbXgQA\nzVySMGRtpcX7H91h9+4jZFXFskPiKCFOU4IoQUTC8UMMXUbTpYU1px+Rphmaqj51uAqDgFwxh+On\nPLx7wHjqYrsL/WsupwAZM8sjpy2umcz9p+D5oyOnKUTxolwtSyISC7/qBas6fWq0YuoaaZqin+uV\nn8yX0xSCHwiDeDKSNHtajjZU+enCWBAEDF1C12RUTcfzw6f9+ORHwPhfDchf/OIXn359+9vf5vd+\n7/c4Pj6m1WqxvLzMn/7pn/LSSy9x69Yt/uiP/ogvfelLuK7LH//xH/OVr3zlv6mHfOtKkffv3kcQ\nYIrFbDZjPo/QDRFZFvCDgCwVENKEfDklCFxc38YOHKRE5s/+8i1uba9ilFVq9SIfHTxifzrCH4tI\ngoGWb+IFMq7lkcUtdE2nYupgRHzjG+8R+Ql37p2ysd4hywSCMCUOLGRELC8lp+dpNgp0mmu8s3fA\nJ155npIh8cGdM7a2V5GNjM3VFZY3DLRERDUN8qaILE4ZT2NWy0X2B12smYsXuIseqLHMnccOnpuQ\nZTqm0qBWaVCvlqm2Dd6694BvffsNClqeyHO5uL2C7Rxxcec6Ih4v39pmaaXE4WEXXZdw/AnTuYVj\nCyyV8wSJw2DUo71S5rh/iiREOE5EsSRRLReZTCf0hymNmsz+ic/lnQ5bWwajsYMowWQSUy7lWV+q\nYntD5pZDnAoIwGS2WAE2ahXaTYPH+6dsXapQbxq0aipmTsTzFn0paxrRqGuE4cK0oj+UubSdJxNS\nfFwuX8hRLmVsbco0qzlUVcdyA1abEm+9t0+1I1IsVgj8xSq9XDG4vXuGWYqxrRQpUolilaKqUF/e\nQsOi0WlyYf0Cq+0SA2fOw90ZOxsNtHIVwYuJRZ9asYAfhFzfXuLhwZR6eZnuyGfnoomhx8RhjsPD\nhLWOyeq6QRAIFAoa7304Zqm5SW84wnY9mp0cw5FHZ3mZYX+CIiQoish4MqNgmgiKynA8Q5VkisUS\nqqRh2R6uKxHELjdXO+SLGqaZ8t739xhMPUolDTsImWcZpmJyMp/TNE1SSWYSLzSNS0ttGvk8zaUO\nVEqIokiaJhweneH7AXKSIioKZr1EkmQImo6nFjCkjCxJqNcbiFlI2ahRlxNaFzYwCyUG1pTn1i7x\nweEhf/u1N3DNhCQImVshtjvH8zJqtQaporK3d0wchUjSwqu33moThwFZJpFksL65zPvv3cbIqzx8\neMCgP+bGjRscHfVQNH1xn8ZjpjP7vJdrkcY+45lLp17nvffv4jgumxvrnOzuM7U8CqUitmUxGo55\n8HCfwWjMtVdfwhrPefe9u7RaTRzbolpZolSp83gaMZsMOBmP6bTbSKpCoVTi0d4J9+88QEkimo02\nXhBz8cIa169f5ujkjLv3DmjWWuiGDCQcDCb4fozj2Gxt7PD6t97AVhTKhoYoL5zHcjkR101Z7rTJ\n5VUcDxplE8fxKBRzZLEHSEiSiOPaC7/ow2NMTefq9csc7O9jqipRmrG6uoLnuvjBIjP91U98jLfe\nuUuve4rjuHheAqmFqehkcYyZU5mNx8iygG3bSJqJqqgEvreQmskKL750HWs+ZzQYkmYQJSmO5WDN\nXcajU4IgwQ0iDF1jNJ1hez75QgFdVTk7GxDGCaZpLEq6SYIkipz1ejhutOinLlZ8T4Go1cgjKxqq\nDHGyqOkWiyqeF1PIa3hBhCxJeH6IYRjESYbjLORwuq4gIGLqJmurqwwmNlmaoGkiQZT8f9qbAj8g\nUVroif0wXoRC/Mg1kqygqRKOG5wDKwtG9XlWsqYtiFo5UyE7B+Mn48lOWRCgUa+c28RGiAL4P2B/\nKks/Thr7N5M9ff3rX+czn/kMH//4x/mDP/gD/uzP/oxyucyv/dqvkcvlkGWZr371q/zFX/wFv/mb\nv8nOzs7/73xPAPnSFZV2K49lxRwd2/T6Lpd3Gpi6hucHJElGnMC1yy1K+Rx/9409jKKJISu88skv\nMBz3WF65xutvvsu1C1f5aO8xM8ejO1Ro1FX+7lv/iDWfsbWyxYPHt2nXOwztKaVyjmIxIUuKbKwt\nkS972G7I+x/tYccBG/U6W5eWGB3PKVc6hJFLq6Ri5lXyRYv9gwGvvvAaiizzjde/S3d/SjtfZBJM\nuLh5CUSBG9dbpJlOp7nEaDpAS0WG0ylvf/iQna1rZKlEoVrl7e9/iO7HiEbMt7+zy+WLLapVkTQt\ncnR2zFIrR7tap14xGE53CSyXkXXKUqeBKCjISoSihSw115naE4ZTG1FJUIIClVILb5IwDT1MXcC2\nMlaWSySpx2gYYeoy8xkc9G3WlkwatTKSIrN3MON7b51x8+YmnmdxPEjpn/nMZyGqLDAcWZz1ZuRM\nhe3VNrVqhKSKHPVShDgjZ9T48HYPy4pYXTXonXhcaJcQjRlLrTzDgYcgJpg50DUd27Xp9TxOT13q\n7Yxnn9mmXWnw7dfvsLW+TZjNWSoUKJQFxEgDKWFjeZVqfYfbD+9RVAWq5Rb3Ptrl6uVNpnMLQWkR\nhTLV+hKzucW7372HL1UI4zGWHeL5EfNZxLsfHVIpyeyfzYm8mDAICaSUZhPG44CVpQI5Q+e4N+fo\nuMtgEBFFMYViG1FS+Oije1i2Q7uZY3u1CUqM5XhUS206rTK5goiiWFi2z2q1xupak1hICKI5+bxG\nqQSW7/LMjQaFSpl8OeZ//+IvsKGq/O3tB6yrEl4Y0wtCbly9TN4LUeKUwkoHURSJkwhRFGHmYGoq\ngixTy+fQG0UkScR1fGLHRZNhbWOdn/nirzGd9ph89w183+c964itio67N+Xv3tylH4WIuSLd/hmd\n1escHM0JPJckVRlOZty7s8vK2ipx5JEkMWmSQhpg5CtkGeRMg3v3HrK2sUYQxMzGY8ycwVqnzpd+\n+ct84Uu/Qu/sAcLU5su/+it0H+7zs1/4PG+//QGZINGfWFSKBQbDHqPRjMOTEzIR7j/Y5zMff4HZ\nfMjcSfnylz7PpZ1tZFXhZ7/8ZYqFCqudOsV8joe79wn2jpnaDu2l5nllqUs+X0JpNKlfuolARnRw\nxMDxODzcIw4Tev0HOK5PikohV2I2t9g7PEVisbNynBmu5zObzJhaPqdnXUrNNvPpnKXlErdeeJ5b\n125SKeY57e7R7c3I4pT2yhpiFuG6Fv3eBMtxabQ75HIGlmWzsb3O6sYKWysd3n73ba4/e5OjozNy\npgGCRL1UwNA0osijWqlRKtfYfXBIt9ujWChx78FDrly8zEl3wKsvXkcURJAUao0mmpxxdDzgrNsj\niSLmtoNExtx2UDSdaq3FJ157joePDvCDEImFjzZpguN5TxnftusjC1CtFam2lllfWuLodJGe5Pgh\nuqYQxQmmqpCmArbjki9WSdOAensZUQhIYgi8GFk6jzUMU0QykjhauGbJMmmSIggCxZLJw8dHeK5H\nnKT4P9Ky+SGgE4RFctZ5eTyMk6e+0//ciONzO9JzWRMsesdPJExRvABdWVx4Vv/o0BSJOMm49dwt\nNLOIPR0Bi3J2TlOelrp/7Pf8twLkn//5n6dSqSyyRb/4RX7hF36Bz33ucwgLpTbXrl3jl37pl/jl\nX/5ltra2/sX5ngDy0lKG41rYTsj+vkujbiJJEtOZzWCQQGqS01U0WcUPZeqNNSbTCeXyFn/zN9+k\nVTKptJqUNYuhNSQda/zETzxHnI5Z3cjTacGF7WWSzKZSlznYO8GQDOaWzVJni3I9oFQWKJnrzEcO\n7fYO89GUla08caDTG3bpnvV4eHjEzUsXUYwZw8mEz33yZW7vvkWjtsTt3TMyQUEppDx/5TqFuojn\nWwSuQoxDFGZoqk692aZcbBHGAXP/lFdeeo1333mb5Y0mH//ELTRhjlSGTr2IImlkKNy8ukaaJAym\nMq9/9x6KqFMs6Dj+4h7Zlg2ZRiFXR1UtdEMiCcEwFAbzMUmaUqnlGI4m1GsmYZiQyyl0uy4RIJGx\nc8FgpW1gGCV275/h+jE5o0wul5CEEZKcsPfIIksTECQEUcCah4iiwHPPXCJfjNH0mFqtxWyQUCoY\n2POA+4/G3Li2iusEBH5Kk46dRQAAIABJREFUuZVi2THdroOqCTQbBooskWYxsiygqSVOezZLHZXj\nsxlJOmO9s4Qd9okSGM8dwkSkXDA5HdjEcobt7CFLLR4euGytr7DS0Rnbc/xoSq1YQ1MVnNCh3x9g\nFCUgpFyBcknDS1MKxTr1hkTRNGmaJu3mEsgOhi6QhBmtporrpsRJROTpxFkNx5uz0jJoNxROuz7X\nr+6gygIvP79GycwRCBGGbkI2wQmm5HIZoS8SRhLHpxZO6JDGPtd2bvL48BRdqVEvdZhOxwiqjeOL\nnH045jPPbjHPl5kfdwlTuLi+TpwlyFrK1VvPYIU+c8dBkkRUWeV0OkawXZI44ZXNJdwwZRYlXLm6\nycWLm4wnU8SZzZt/81e8/9YHnCU+l1YamJtN/s9vvMtjX0HVFe7de8BgNqNcruLaPrZloefK/OzP\n/Xt+6n/6D/zcz/08/+W//B2O7RL4IWa+BJKKNR6SJgntTotBf8Byq0qcZkwmM4bDMXfuPeboYJ/X\nv/VfEWORyPGYnHbZG/ZQZJ39o0NmswGqrLKyvgTpgpCJqJDP5SgX8/RGM5577nlsL6BazuEPT1mt\n5BkNz9AVibVWg0LOQM+bDNyAeRjxwZ3HbGwscWXnEg8fPaAkSohmgd7BHj3L4md++lOMRyeousTn\nPv1xEFJOTo85PB4xtdzz/7eQVz/2Ii+9fAvXT4gyEUNXCUOXNIU0yZjZEf1en5wu4fk+U8sijFKC\nMFosSsw8SSaTJgn1VgMpg8FgiKLraLLAR7f3eO+993HdEN00ef7mFZI4JXQdlpebVGpVdjbXcMOI\nUqWMNe+TxCm3nr1GFKa8f/sepmkwmXs8evQYSVYgTfGDiOs3LzIczRBISFLQdIkszcjSlDR2KFUK\nzKdjWktriIJA4AdUK0Vs18c0dKIoxswZVGo1vDCld3bK4ckZsiwjSDKarmEaJpKQgLSQ/6Rpxty2\nSZMM37aYzAJqlTLDyZxCIUeaLMiNcZoiigKGISOIC4azKIpEUYShG3h+QE5XUSQJUZJIkuTH8EQQ\nhHNOzcKgQ1Okp7viHywx/9P5i+9PwFhXZGRZfHqeLEmYmnIO7P8ErIq00DxrqkwYLY551hQvDPGD\nCEWWUFSJ4J8BcfgfwBhEEn0ubteYzj3qdZUgzJhMfEpliUKuhmW7OJ6PqTU46HnM7RHHH5zhxBME\nQhRdZTq22Vxv8OLWNfSyzuHpIz718ZvoaQ7PMzh4vI8fO7TbFcyChBfPERUfRQsZjSZomsLBySml\nCvR6A65duICibXNw2KdeXedwZDOfTvh3z7/IyXTO0ckABIn3PjgjiTx0LUNVyoDExuYlPvzGRyh6\nimrk6A1PKeXajAYj/Nhn91EfXYgolZuYikgqikTRGaEnkQoSQlrg/Q/3ODgecONSE02RSLMSc2eP\npXaJJEuxgymNao25PabvOCShS3fm0D2dMfchb2hsbJSp13VKJRndSJhbHqomIMsZhq5Rq5g06ybD\noUu1qhN4BaazCZNJTLWio8gpthOgiyadpRwry0VaLZmjs4DhSOTShS0gQtA9pCxkYmcISUixoDG0\nAhQ5oVRWWG3W8AIXWZOJ4pRyWSCXk7h71yGfE+m0KxyfzmnUCjiehWMnrHZWESUHQ23z4NEpjhsj\nyiLzSYCWk3HcgGuXNpGSjFKphBf08F2V/nhOFvuISYSkRxwPhiy3Cuwd7KEXBV574RoIc4qFHOur\nRYTM5OHeCYEbUatqvPnOMY0myEqC7WS02wtWqa5LxHFC3iwzHp3hxzGvvnCD0TTF8zxevLnB7sND\n9g56XNxsUS4VECUL2wmwAyCN2d6s0+87bK4t4XgWuYLAO+8dk8tlVEtVnOkUVS2Q4BN6kMqw153w\nn797G01QUE0TgYx8BtdeeI7d4y5JnJKkCSCQZgstpxYltHWBT11o0N5cY5SmuNGYWrXDy7ee4ZOv\nXaG5sU0ieyiFPHdOT8mVTHI5jYZc5cH796iuNpnZAcVckc9//ieZji02t1epF0v81V//LR9+dBtJ\nSJCkkOncR0gTsiyATETTJRAEXNfl+LRHHPm8/OKzqLpOfzDCdW3+5//4v5EzBUaWQ3NrmUq5xOP9\nI472j9ELNQa9PnM7YDaZUCoWefmTn6N3eoRj26Qp9IZT+t0ulUzgynM3sGYTJDPPZGZTLRUZdx+w\n1GghGjqTwQhFVth7fMBZ74xqpcnh0TFSNMWUFKSZRUPT+eDhMdOJRc4ssbFSRlYrxHHCCzcvM50N\nKeQNqpUa0WmfUrtFq1MjDn1yuQKz6Zwo9BfSIEnghVvP8v5Hdzk7XQQ3jMZTTFVF0w2s+YxMkiFN\nCYKQSqXIuD/AdnxkVSNNMp579jJCKmLbQy7vXOLV117kb/72m2ysdxAFEdMwaNervPvBfSr1Jq2l\nGvPJlDiG1rUbuOMzPNfHcz1s20LIEh7vHaNpOpZlUy7k0Yw8SRhQqddR9Ry6IhDHHscnI2RJxjBN\nLl5YZzKeIEoi5UYLUZKxZ1NEBCQBwmghKVJlCcd1EcmI0gRdkRdtlCw9J14t+rmmaXDzxhXOTs+I\nkwghE5FlEdNUEAWROEqxnGBhgxknZOmC3cx53zc5t6kM4x8H5IyFPWWcpkii8FSaBAsQ/TFA/pHr\n4zT9oXP085J3EMU/1AfOzg1B0jQDAZIowHZcgjBGEhZhE2kKmiL/WJkc/gcAZMe1mc1CXnlph9PT\nCYIA5bJEtxuj6Ys/TqUqMRhPCD2bQX/O8laeSm2Vh4/HvPzCJc5m+xBorJXa/N//9R3e//CQx3sD\nwiClXG5SLErsXFkhGhYJE5vVzQ7tdou3vntIo16gEZZ52O+j6yKKLDAfOrz35m0Cc8zVyzKt6hpL\nTZ03dnfZWq+hiGX2jh7x2U/sUDLrtMo58oUyuXxAnEwJjITIiVCQKdc7RLGHnKXEfsTa9lWWNy/j\nOQPeu3+H2XxG4kN/MuT4dM5gmpI3DVZWBFY663SHMRljVAFWVmSiTKJYDug0m1SqCbdubpIJNnkz\npt1soKk+iixSrWoYho5pFJjPbeo1E0PXFg+uLGO7EVmaIMox3Z5Hp6MgCBn5QsruvTlmPqNdX0JI\nEtypSHcyIolECuUcqpThpS5ZHHD9ikGj2oIkJQwj0jSiUsqIImg0ZaLEYW/f5eTU5plrbXp9F9MQ\nMbQcni3gjMAsxwt/X0PBCWN8z0KRFKYTm+2tVRQ5olMssdQoUDEMulOLRqVE6DsIkkreLJFk2SJP\nV8ljhz0MtcTe3ohSoYztTFCsKrc/ekCgZ+hCnl5vgq6axKJAllaw3TmvvlJa6BilFkUVEsGlUiph\n2SESdb739gFz2+f0NKDd0Cm3OpzsH3M2OEPTRUpZkWI1Y+L2KeRNHDekWpbQ1SLeQGSjuYIdOOw+\n6mPNM6JEIwpl7j86IF/UeXDWo1pKiSKBZqvNg7MBH9w9pq7rSLJEu1njwq1rvHl7F8v1URURQ9XR\nFBVZFgjCEOYuKwWNmysVxvmMmTcgywI+8exLVApF9h/u0tJivvX9D3n3g7vUqznWaxVeCwR2T0YM\n9IThPEEkoqzl6A2GfO/d95DTDCv0+dLP/RSf/5Uvs//gHs9ef5Z6o0R/MEKWNcIwBCSGoxmqKtDq\nLNPtDqhXG4gCdHsDVEliNhrwuZ/8WYb9ffKlImenQ27f2WVttcPWxho7O5u4XkAURTiOTefWNWan\nfSr1OpoqkTc0nn3uMvvdEXvHA67cvESjXKFTr/LG2x8SiHkOTgd876+/gSuBJItkkoTthEBGu9Xi\nrD+GJOC5T77E2b1HbFza4hNf+gLeYMK7H93BiwTqpQmN+jpRIjAYO5wcHaNmIrsPHrDUqaEqOnfv\nPiRfKjOfznCsObO5w+tvfp/BcEyj0WRqeYu0r8NjprM5tWqZ1Y0NVre2II6wvZBur4/veWSJS7NZ\np9ZuUs7n+eD2XYJEYH//Ad3eiLntUa9W6E4OCGMJUzWw5jadpQYPHu6RhCH+eEK+UMJzXHRFJogS\n8vkCnusShiFpuuinxmGApulMpzPiwGU290iSiEKhQKFSx7eGHJ6cIWQQJRmhYyNkEVEKWZrieB6G\nqpCeg22r3ca251y5vIEoKeiFCnEc4/sBirTo/SoiPNo/ImeqCIKIrEAUpiRxytwNCOMEQ1WIkxRR\nEEiyjJSMKF5InhYje2pD+YNDUxYuXE/Sl4Cn8yjnXtRP+rmiIKAqMkm6OC6c21s+OYawiL/8wSCK\nJ0MSBURBJBMWzOvFTj5+aqryRNcdJSma8k/65yf9ZEn67zzt6bkbDS5eyHG4b5ESUq3JdEcJSZiS\nz0vEMbhuyoWtCkkCw6FPJstE/pylVgWJhE987HO8/p0P+e6Hj1jb3uDWs1eRpBxBOEdRFBy3j6xk\n9I6GyGqBo5OAwdkZtfISw2mMYBRR1Azb9vnwzpiVlTZKPuDm9TZHPR/L6bKzU2d1pcGob6OpBo1a\nCW8qEotzGvU1TD1AMx0cd4pEjcEkYfRoTG2lzuP9PZLU5533TmlWirz/0W36kzElWeLa1QYbK200\nQ6Wck3n2ygUyLYeQzcjnK1hWiGFUaNWL2FZK43zXK2tgWTZ37pyQpSm2nYGQ4+GjEesreQxTIU1T\nkljg6KxHvVGhPxyjKjKW4zK3IgQhozdKyel1omRKmgqkaUyhIC0ePNklFRNUtUyzqJIvCljuQqqg\nSAqNVp79vRmSFLGxXufkZOGoJogQRiL9cYwqQb3SQFckqnUTAZ2z7pzxBEaWg1mKCHxw3ZgkC4iD\njIpZJAhTigWZiTVmMvGpFIsEWcRRb0y5oPDRnTOcIGTqeaRJgufPMXQomAYlXSUToT+1kZUlDg8H\niGdjJnaInBcoFFexpgmCojPo2zx7bRkh9ekPHTRDZjC2qNVzpFlIEtZ4/24XRfbYXLvB/tEZ5UId\nUQm5cnWLmd2lVi/Qqpn4WYoogSIX6fbHtJtVDF3h0eMRp/dnHBwMuHrtCqMpHJ2MuHypwWA8olRQ\nWF4qkNdKEGUEI4XO6gqHXYeoN2OlVkUo5AkLBo9OBwRRQrNcIAMq1QJxmKApCv1BD9t2WclpXO1U\nGPsKUXuVem2N9WYbUdcRVR1TjPk//vJ7LK+uIGU5qkLM2X6f+0nKSx97lUuXd6hUK7SXOxydHZNm\nCZP+hFqrznQ6JYxi0jDm8PiE/mjCZDQiiSNUI0chL7O+sUKKBolLp9VEkhVms8UuMgNOuz0ePNjl\n4tY6rWaT46NTLl/cIMkEbD+EJGU0mpDP5RgOp0xOe/yHn/osV3bWmM0tsjSl3z1ifWubpUaJJJ5Q\nEAKiKGTnhU+iiAJJHPDg7BTHCbh67QJlU+f+owPiyEc3FrGPoiBydXuL1FRBU3njP/89qiyTZBFB\nmHJ2OuKsO0YgYDx2WF9fpbm5TJKmzGyb0WhGqVJhbanByVmfj736Ihe31jk57VLMm+QLBW5dv8TB\n0en5yzrlM594mU9/6hXqtTLf+/t/ZDqfIgoCkixRa7TIEDk86vLo0R625RKnGVkmYuYKFHI6o8kQ\n1wk5OBxSq5ZZateYnfY4G/ap1YvM5g7LrSblapUXn7vJYDKns9ykVMjTabdo1WucdnuQZeTyecgS\nZAkkSUWSUmwrJA59JjMbVVHQjRyapiFJKYKgUigUWV1qMRpPqLXa5HRtYbKhCSiKgKaXGE1muPM5\nkOEH4VOg0tVzCVKU4vohQZAQxjGKtABQRZIwTJU4TsnpKqIkUKlUcV0XQ5UXCUvnvd0nzGlZWqQ1\nKYqIJJwD/7kxiCyJi3srScRJ8lQiJYniuW1m9kPyJQBTU86DJsR/tgesyTK6KiOKC8JYFCfnbl7S\nj+2InxiZ/OBiQJHk/77zkMtlH8fxkbUI38vIS3lOunNQZLIYoihjMom4c28KssjFCwYr/y917/Us\nW36e5z0r91qd88757H3inDmTAwaBAAEaIECKJExRBiHb5XKVSjYvXPKVyv4r7FvT8oVMkRIl05RL\nJAiQxGBmMBkzJ+4cenfO3atXDr7ocw4GAHXBKrsK+t132Luq1/f7vu99n7e8gZZa4cO3H/HG3hWG\nbpud5QKrG1kMLeL9n9R45533WF3JMTYbjC5knnv1Cv/bH33Kg/fPcElQLC5Ta5icH5+SVELkRBJJ\n1Lm5ewVrOkEyZty7F9AeDqmkc/iORrt7Tq9v8eaPD1lbqeCaFrn8IsQQRyKS5FCtJtE1hUwqQW3s\n8uj9Q4auSqlioOREZrMpzY7Pxnqar3z1Bs5Y4+jimEI2R1JV+OR8n+c2q6RTKfq9OsWEzGHnhIvL\nBouLRUL6bGxtEQxnPF/9PLY8oNYIaTRmrFeKRILD9vou47GPpspMJh6VcpJsNociC3zv+zVyOZls\nWqVczEJso6oOL774PA8Pa4iiQBjOb6GaKnH12jYIUz78uMfaao50YoX9o3Nef/4Ob777gGw5hedG\nEFscn83odFxkSSKZBMKY9iCgUgkoliWC0CYIHWo1h1JRYaGqkstKPHhooidkPA8KRYWDuoUURxip\nmIMTm3RaZWyatEcO+azMcBrOo+HsgEHXZnlJJqFBQpNJyGD6Fr1Di2ee3eSgdkI1v8Tqjo5aBXvq\n0ex0ODmfcHV7hUazwYcfH9FsT1lbTeE5MZWyRCW/huONOKv1keUyOVmj3jvF9UJ6vRGWbbNWSRJH\nHu3RBMe0iTWB0+Mevpem1QlRo4iVdYOffNpnaSuJYEB31OTK9gLlosTYdillchh6iBBI1McjFjMl\n0pUMfSuJZ48JzRBFkQk9HzGpUl3KEfkRxXIegpjt1TyyLOK4ATe/9mX0xJDV7AJLSkxu5wrPfP27\nLIZDtGwRfdjlsnMG2VUOj8959bUXmJ2+y2/cfomDxhjHhdLuGpmUwQvP3uIrX/0tTg4ekTQSjB2f\n13/3t0gFPqY5pWH5XFupcP/BAZb9JPwgT7/bJwohoc0TqzK5LOl0hnJ1gZXFBV587Q7Hxxdcv7qN\nOZtxcnHCP/sf/oA//N//mF6vz3Ri0usPCAOfl1+8xX/7B/+UV569SqfV4l//639L5Pq8/MKzfONb\nv4lt2ewfnrC5vkOgZlhO6tC74PCd92h7MwgiolBguVIgDH10PUEkqPjulN/61jdYXVvm0cE5p7VT\nuu0mS6vrtPsjZCUBgI+Opkjs3bzB2dEpnh8ynTkEfshgMCWdy3Lj5hX+5m/fprq4SELRqLX6DAZD\nMtkshUKWbD7DxcUpopzg+t4uhXySSBD4X/7XPySRShPFIYoyLxi7uzvMTItXX79DuVzE0A2uXtum\nVClSyuhYToQTSfR7Y1LZLJrqsba1wf1H94mjmE5rzHRm0+91iSIPUVQ5Ozvj1q09HNvl6PiQWqMD\nzAvEzLIQBRAFkenUZGI6hEFIHAak0ipxBKIY0BtMEOL5iNp3LOrNLoIg8K2vvMZ//a03+Ov376Gn\ni0SRwNVrO5wdnz8Wac0BHE+KkYCA6wXIsvSUJQ1zZbShKbhBgGXPbVGyKOAHIZOpiabIT4up+Bif\nGcfzva8gisRRTCqVwZxZc8+wNEeDPrEpyY8L+ZPzpBh/9kiS9DQNSlflnxFyiYJAJqXjegGaMrdy\n+cHPFt/wcV7yz6uqf76kC8IvedrTSlXFCUOSCZG1tRS275LJKjRqFnEEMy9C00SiEKolBU1NUG/2\niXyRtbUdxrZJiISWEPjgk31K+QRr1Srr62UGkyFXtzc5uOxT1XKcdc8QdY0H+5e0O11293KsVLIs\nrOQIQ49Jf4rjWRSKBaqFbbI5nV57zGK1hGWa6HoJezrj2t46oQur2zcZjVrsnz6k2WtSb8+w7JCp\nJXHRumTYCjGKSabTPtd21nnh2R0uGi5Rv0+ASr8b8unH95A0ibOLHreeucLFaQ1V0dANjZ3tVdr9\nCdWFNMmkjjlrE4YS0/4Myw350x++w2yqsLq6wcbaFkPrgitbOYZjE0mxsS2dXKqE7yYIGOOYGqur\nJQLXoD8a4bge41lENqUQ+i5hEFAuZBlOImoXM4pFGc91uLgcMrMDDvYnnF7OODxq0ei20HUFzVCQ\nwpCDQ5PKcoqVxSQTK0RTQNMEROaxcRIZuj0XVTJIGxK2s4BrezS7Lqm0TjKRxFBEMpksrfqIQqZM\nQhGJBJ8ohGRKRIwjRFFEjiVuXtmgNx0zM30KxSKXrSm3b+UQhBBZTlFcLfKDNx/O8XVNk3ZtwvLS\nEqWCjKZVcAOBbNoAMWI8BVX20Q0FTU4yGDogTpEljWIpz727J/zgrTNqNRNRSbK2tIiqe4S2RzaR\nYDyZksnkqZ/79PpjBsMBw9GI3b08iBZLC1mK+QzLi3lSqQStToNidpGtlWV6wx4rpSqzcEouJZDQ\ni5w3GyyVSkxnI8SkipoziDIxz91YJwx6XNvZBnfM6nKZ/fMGgS+SSic4/vE7qLZMOOrR64z4/Fe/\ngm72qPUuSSk6mqKiL25QPzmk3unx5o//mj3ybF3b4qPLNp3xlN+4c4tbd/Zov/c+RilPs9vkpVff\n4OL0hK88d5MXbt5ke+cZNrMp/uZH79LodEjoBrbtsrRQZXE1hW2FlIsLrK2tMh6P0IIQWYV0SqTX\nm1IqFOj1h9y9f0gcijSbbXoXNQJRIp9JsbK+wUI5z6PDc5q1C957731ShTKO5fIPf/c3+fTeAW+/\n9RbDYZfPv/4q+/ce0e60ee/t93nzx/doRBGXIw81WyCl63z48d/i+Sab6zmE2EBSNTzPp9sbcv/R\nIZ4Xkcuk8LyI/mBIQoJYgFvXt3n48Ijjoxq27aAZBuN+n1gI8FyLrZ0NPvnoI25cu4qmqwjZNN2L\nS6pLy4S+i6SoXNaajCYWhXKJ7/z+7/PowT3UCB4enswpY1JMdWGJl158ln/0O9/kx++9x0fvfcrl\nZZMoCglcj0F/wNnFMZ7vcOPaLu12n4QUUyyV+PTjD1C1DNYsxLIdspk0SsJAlhRsz2EyHHN4eEar\n3UVTtF9AOQZhRBRGRECpkH3MaAYiIAZBVCEOiYDr1/ewTJOZ/TgAIxB5570PeeGlFxiPhmys5mk2\nu1iWhawKOM48NU18HI8YxhFGQn3sDIiejnEVSQRxTmgUBAFFErH9nxZyI6Hi+D6iJCJL0lMslqbK\nc/BGFOM6zuPCHT+lYz0dV8f8QqGUROFnoCKrywtMp7N5iMTPdbpzBneIIs0ToqJ4LgrTFBlB+Ol7\n//xn/P9qe/r/+jwVdWkekSjQblhc1m2SKYlkUsA0Iy5qM3LlJK4ToiZVghA8x2dtLcH+YYdWu8ML\nz23iTYfcOz7h+t6LNB5csHqlTHcQo2sZ3nn/U3Y2srz/qMsbr38RIpGV5SI7u+v4cYpcGDEeThkM\nx/StEdtru/zw7U8ZzhoEjsLKSp7+qIPlWpyctrm5e4U//95HBDOVkeWys1ZlobREdUGi1QzoDQzK\nJZ3FUpGP7x4zGHu89vJz/OVf/ZhavUk2LWNkllha2eD0osvCcpmbV9bJZnU6vQ6rS0vEhAhuwGA2\nnZvj9bnIan3hOu9+tM/MdjhpTtEUEKQSR+f7xOGQl+7cpn40IZFUIdLJGmW6rRaZks3Z5YR6vY+a\nsFipbDGx2gwHAem0QKfjgOATRgFxkOe5Z3dJyBnCeDz/AQghRkLn7XebFJdEiCBfMYhiUBMy1Uxy\nHgwuCAjh3JM4M0PKZYXBOKaQk7h7v8dCNs9f/vCI0cQliqcYuk6zOSZfzHN+PqI7nPLhxy0sO6RY\n1DEyLt2ux/LCMsm0zcZanuHIJZURUCONZkcgkY1JyCGVkoyixiBGHNctVpeSXN1+gY8+uc9GuUCv\nNcQMHY6bQ2qXHabTMaqhkM9laLbqXL2WYzzyyOgaCUMgnzdQpTLvfXTOrdtvAAJLq8tY0y6K4hKF\nEY7n4YoBmgKP9ruomo+hl5mYEzRVQkyILC8mySnLnDXrFHIpwthlNHIR1RmHFz1WSiqt4YCNjRQn\ndZuVhRxhaCI6HosLIjeuXKNoZCkZIVJCQIsFctkk1uklG9c2mM5mxJGMrCrUWmMeHZ6TMbKcD2Z8\n5SuvY+UK9HuXfO6lq0w6M1aFIX/9J98nlYwwSot82jqjtF3hYWPKxwfHPPeVN0gh8P17+5xeXuDG\n8PWv/+fzcJH9A8qFPH/6p3/C//F//gkHB4cIooxtTpBEyBdzPLx7wne++21u375O6Dmcnu7z8LhN\nqVzh5OyQcnWFemvAaNhkOJoxNU1OT89xAp9SKs1oOqbVbFK7qJPRod8eU2s0aLfq+JHMdDJCICJX\nLlC7OOf5F+eK61deeZFAlFCLWUJBJpHQuLGxyulFjcAX8XyHT+9dMLFcprMZjfoJg4mP77hc2Vnn\nstFj0B8gCBLra2tYjk2jM+HOzT0arR6B5yGJEloigSpDdWGJ4cQhl82QySU5Oa6hT208WcF3hrz0\n8svsP7yHJEW4lsc//5/+Z1aW1zk6uc+Dj+7jCRKD0RhDV0hrArtrmxyfnlJZqJJKZnjxznVML2Y4\nMTk9OWdxdZNbe1u8/8EDVlcW2Fxf4uDoANuW5+peTcNzbILIhzAgYaRQNR17OpnvYuOYpK7gPE50\n+qzdJyYmocmMpzZ+EBCEcyCIJIlIIvhhSEJVuGy0icLwKWBDkWUGozEJw6Dd7rOzucE773+CJIk4\nlv/YqjRXTMePx7eyKGK7PkldRVUViqUCcRgShDGZjM7MctEUmXyhiOc6T73Bkiji+cFPU5oA359/\nFz2hzn3NsoQsCqiPFdDSY/pW8HfYn36e8GXOZhRyOoauEPjRL4yrn4I+no69hfnzT/5FwRhA8nFa\n1M+fX/6CLDqkE4AARlZDimPCIMN5c4KsSBgphdgPyackVpcLnNYmTEYyV1ZKaIrIw5Mpn+yfcO9B\nl3anz8ruVRrtAaY9RI5n7O4ZrK6WOTm7JKX4vP/xA9ZXd+l3B9hTh4e1c9RUEj21heKE2A5s7l1D\nJeC9e4/QlSyZXJ557xsOAAAgAElEQVRyocTyYglVS7BYTqHnFnBdl27/GF8Y0zpzGc5icEVWFrN0\np2P2ttZZqBqUCjprKzq9roUTiAxnJlJssbOWwLK7HBz36c4GSKHGg4M25+cjCgs7tAYX7G0vMBv5\nGGoay7VJGQp729fQdIPlhUUS4ZTN1SIZXaXVmmDZFpcdk1JeZTwwaffGDGciJaNArqAwNS3SmSSC\n6KIoGrmMxvmFRbfrcX3vJp36gMBXiMUpjeaUtdU8C9Uq739Q486zJVQpRyadJnCn7CyXyRgqM99C\nS1QZdAdc361w/1Ef0/RZWVxBUQRUMY2mS1z2xmQyKklDIp1PsP+oRRjGpDNzjvB4DAkd8pkcXmTh\nOiqpZEwYRkynHjPLZXU1h66UqfebVBc0nr9+nZ/cq7FcyZLPlhkMJ7zwTBXLHpPSZe7fb+NaIYlV\niYVcjjgR8tKLe0ymMzqtEZVSGkFwWV7KEMsCqCGVsoiqaAShy6P9LqUsaLrGwkLMF1/a5u6jBsvL\neyTUiFZrjCxVEQRotycIkkCunKXXs9A1kckooDW0KFeKHJ81EISAxcUEGxvLLJdymO4YPwjQdZVu\ny6He6LOzkyFAxItNHEfgne9/xK/duc3b33sXPZPkk4sjai2XqlRgFgWEiKiSxHBi0+10WUmn+cKN\nJSqLORqdc2qtGsFM4NHJPn/2r/5vRsQoOYXW5JK0lKI3Eeg0h3ztm1/l3fd/zOrOLv/qX/47PFHl\nmetXWd/Y4Ht/+RfUL2rsHx9ydHrB8lKJL/7KF5maNj4CWibFdDRkc32RTz55RG8w5P79A1rtMa+8\ndIfBcICuFXh0cIIkxZimx82r6yiaShg6LK5uE4sexXKZYi5LsVLCcQOGpjUXEoUw6nXpD6c4TkCp\nnGfYN7m8bCKKMQuVMj+5e5d0NosQhUTjCSPHwhxPCIMRghSjSDGpVJJyNk82m2E4NKlWSlzU6kSR\nh5owsB2bfr+DnkgQBh66YVBdzHLr2h6NZpNiMUez1ScWYKmcwQtizk7OqKysQzLJ5fkJqgydbp/d\nKztUSmX2ri8ybNYIW0d0Jw73Ty5wPXcedDGzKBRL5Eopzg8OSGfy2M6IwBdIJ3Uu601c12HQH9Ab\nzlhbz9Hpjjk4OuPa3hV8f8JgbJFOKviBwMrKEuZkim1bbG+uYQcxM3M67zpdH11V5pdsUUL6jIXo\n50ewkiiQUBUs20VRJEQRtne22Lu6gzWbsr21yUIlT0TM5z73MsN+i7v3H6FpMoIQP7U9KfJ8pPwE\nTamqEpIgMnO8eXcbxri+T8pQGE1soseYyjgMiB77oZ+8Nnz8Pp9lR8uSON8JR/OkwDiKsVyfpKag\nyBJ+MFdmf7ZoaqqEkUyjaRqyLJNQRQp5A98PEUQdz3eJwvix+Ev6heI8F3YJhPFPgSOphIr4eFct\nMEd0/iepsr66qzAYuPzKr2yzWJp76EbjGdYsQE+raJqIocT0Bz6GmmT/uMfnX36NzqRLoz1B0IqY\nkx7rq1u4XsTxySkICsvrW7z73iOyFY12dwYyECQJQwXTdOYKQK9NLHrcu9fmk7uPaLQH5AtFFCXm\n/sEBRl5jMa3x8OKC1UoV25nRaNdZWVjjk/0aDx7uY7sOglDAD2V6wwHjcZ/NtRyua6IoMRnNQE6U\nUXGRlAKipBLJI7zAJp9Jc17vsrW5SBTkKJdKVMsbJPUky6trHDy8z0ppkXr7AjGIOe/W6I10MplF\n/vrNt7h9e5Fc+TqtzjmpTIZEIk0szccr3d6AlJYkqc1voT5TqrktIrHH9s4qqZRBq9Wj33e4urWH\n4MVEmCQzIq1hg0ZriiwJVCtJFpZXKJYUshkZQfQJoikb6zrNjoUbi5SyaWr1FqenY0zTJ1s0kCOR\nUkqjNxmjGy4CAuWKhCJryJpBLEa8cGuH8VQmiiwqZR3bDvH9gKXqFrVGk4WSxtb6GoI0oz/w0DDI\nZiuEsYWsuKwuVvgP33tEsZpkdyeL4w1Q5DTplILjutSbPWxXIE4EVJcy3LhZZm1V58HDSwI/JJ0u\nUyl6HJ8NWF4ocnv3KtVKSLttz7+Pa7O7XWFiWkTxhFJeQdXTHJy0KBXLdNpdur0ZU3NCjEy/P2M2\nnZHQIl67s06UiPjcndtY9oB0Oo0iSXRGDqsLGT552EGRA1KJIoJkMpuqbG9lSepFkkkJc+BgBxbD\n0YzYAN+QSC7l6bszbm1fQUvnuBjOO3VBFPBClUzG4Pz8HC0tcOW5dcZ6DztUEdyAQjpD9/4ZyXKR\nd47qjKY2lz0TrzaiPemSyZXodtv8V9/5Pf72rQ84Pz9leXkRQQj543/zb1nY2KLTe0TsaVSXK9y+\n/Szvf/AJn3/jZc5Pz3njc68x6I/J5bJ87WtfwDFdWu0utmUzntpcv7rL6lKVkTlGUlSWFxZQtQSF\nXBZVlvnn/+N/T6VaJm2o3Lh9g29/62usbm2ztr5Of2Ty4svPE4UBjWYbz/doXDZIppLMHJ96o40U\nBzx8dEQ+k6HTGVK/bFJv1AgDC9vxSSRitpdKpByDy3aH/sxjOpkwsxwSySTDwZiFpUVUWSaORJKp\nJI/2j0glVHIpA2KJbq/PoD9ElhU67Q6e62PZPmEQkcmk+fzXfx3Nczg7vWR3d4crO1dYX19id+sq\nK/k8773/EF+IWF1eQlJkCtk0rmuyu7PNBx9/Qnlpkc6gwbBvcmVnm0Z3wI3dLfrDHtOpje+5aIk0\nk9GYQqnC+fkpohiSSmqoSsitZ5/lJx/dw3I8yqUCgijRa7eJEHB9f65CDubqX1WdIyk/O8L+bNec\nz+UIfR/DmHeMCHMucxhCfzDEdR1GE4t8Vuf4eJ/Tsxb5vM507BL4Mfbj3fE8QlLE9QMUWcJ2g8ej\n33mqUhgE6Al1vr+OYtLJBIokYD7WJaTTKmEQP93R+o/TmOLH3zeMoqfFLwh/2tk+6WYVWfyZfXA6\nqZLJ5IiDgNXVZRx7iucGIMBo4qDKMovLy/iug+P5hFH8M2ppAF2d+5M/22U/+ew4jueXmcdIzp8/\nv/QFOZsOuLq6RCzI/OCHx0iqwmJZRlVlEppIEIKuJGi2PCQ5Zm15h6OzFg8enFOtZIginX6/g+fC\neNJD1WTC0OHy/BRVk2jWJ9hDlf37TZBFLht1KpVFssU0L7/0OvsHx7z88ivsbFepFPMMRi62b7G0\nuENgOZSyBtV8HiOVw7F1ZmaL2AsRZI2Z1Wd3axstW2WpkkeSerz+wh1Omj1sZIK2j8kAxx5gZDYY\nj20Uu081lyeby+DPPJIJneOLNtWMwlljyp/+2ffIZFPsrCaolov0+w12r+ziBgGHpy2yepLzxgTf\nd0hqGc7PGiRUieMLgdDtoCCysb6J47uMXZdc0iCXzZPKprBmLqEwxZyMSWfSNJt9RhMf25yxurrJ\n0ByQ0DL0+2MMXWZlYQXXcpmaPSZjk9OzEUHoY2gCqaRGytDYf9hFUSNkUcCeqWxv5wg8h97EJYxd\nYmlOz0lnIIhiRlNYLOVptEdMJgPWljXu358wnthIckw2XWEwqWFZcxFTISPTabsYiQS9SYAWB7jx\nmEE/JCEbDMdjbuxVGE775DIZhsMZcZTCDyekjTKC6LFcyNBojej3J2RTZRBmhKKM788QNBXH8tF0\nH3M6RE/GqFpMPlPk9HyMLAeoWkh/ElPOVvkX//JtqotJPvnwmOnMxXVCLDsmDN35XkkX2VzP4sRQ\nTCXYPz5h6gTkczZawifyY2wnZKVaZWqNCQMDVU4zNLuEM5n2sMtF2+XwuDNXi8bzQn/vfgcjoxI6\nAROrRzZfIQgFelbE4fEF3/7tr7OWzfHDD37Cl770AvePDknKGa7svsrBJ/c4eXuf6ajNpN6lm5Eo\nZ9JEQyhlsry8cYVRIsHK5jJy2MUMJDwfkrpKLCkkJLj76U+4d79BJptmNp5xsH+M6/UoZIrY3SFT\nZ4plzvgn//S/4a9/8Lccnl1iTvv8/nd+jxdfeZ7Dh4e8+sZLxFHI/oOHiKLE/sExoqxQqpb5le1F\nvv/xh1izkPW1ZS7O63x69yGNTp+jh58ii/Dd/+LbnJ7VGY5GuK6L4zgIgoAYRzQGJqV8Dj2h0u2f\noyaLKIqE6zlc29shqSeIhwL3z+qYosTaYoV0Lk2v20CII6IgIJvPYRgJREVlPBxwZWMNdzKl1qlz\n/94RsSBRrJQRmAMvqgtV0ikD2/GwLQd30CKVSXH75i5rq8u8+fZf4XYtctUSh2fnxKrIjz94j6Oz\nJufndXqdLpqeImXMSBoKspBmdXWBX//GNwgCm5ShsbW1yVe+9k3Wd65wcX5Gvd7EMLS5H1jW+PIb\nb3BZb1GtrpPJGXTbA2IBeoMR4+EQ4gjP95/uUZ+kGdmuhx+EPyNE+uxot1As4FjW3HkhxBiGwng8\nQ1I0wiBiNJ4ihAF+YDPoz1BkkfHIRVbmyMkwihGFuXL6yb71SaBDEEWosvR4FC0gSQKON7c2KaKI\n7QWPXy9gOwGpVAI/mO+GBQEEUSChPNnnxsiihPdzsJAntVL6TKeqqzKuFzIxZwiCgGXOhWyiAKVy\nFkIYT2eY0zG6kSTwfQTmo2lNlp7+f/6uzjeGp0KxOOY/XTDI5rpMoSJzfD4AIoyERLmYpJDXcFyf\nKJYp5yq0uzMqpVUePDqj1hgwHs3IpJJk8grT8ZhkSmdtZYXhyCQIQFJ0JMmj17EYTGZEUcTy0iKT\n6YzJdErtvMaDh8dcubLLoNvENG1eWF8kv7CErOpcXF5y+2qVRMrg47unjKYih6eHFAtVAmFGsZSk\nnCuDnqF+eUQqYWPoSazRGFUW2VjbBFFA0ku0Wy6ffHKfZCaHkVGQNJ16p8PB4Qh7HNEbOYytkG5z\nxDPPX2elKCHIAflUmji2EeS53Stf9snnc6wsFEgmEwxHEbZXp9aaIMoRjucjqSGe65LNFthaWQVV\nIPJi2u0BRxcHbGyWiaOQ0WhKt2dy7cYWtWaHg4smz9+p0On1kUWRlWWDwXDKbOrjRibDoUs6I+IH\nEPgx2UyCbDbB5kaaw1OT45MJcRSwUslwfDpibyvPxHQppgxkLcY0RSwzRpJkwtDDtRzGIx9zlqCQ\nTzEYWKTSMu32gI3NDNd318mlUnS6XZptE0WSQfa5dWcdaxZxcRlzdj7jhdtbqPqYZtthPHLJZhME\n8RBZkgiiGa12jCwJ82ScfJLmYMhyyUAOFU7ORyRkhYVKlfP6kFwuRT4nQpjh/ff7dHsi7swnk1Yp\npPM4fo9sRsULVJIZDdfxSaUVru5dRyDg2rVNptMxtQubyWiGKPqsrBgIEXhujGmGZFIF5EigPhiS\nVHL40QikCVKUY/+sS6drI8kJWs0Jui5zdXmJxmjC5soOR0dnXN9dw43S2KaLKCdQMznSsUTQrvP+\nj95iEoMgKDyXTDJtTfjBvSOSssfitet01Yh37je58dyLZNUMyUqBs26PypVN2lbEj3/0tyT0DPls\ngdXVZX709jsM+wNGaCRFi7SYJBAELmonfOGLn2dmwfsffYIvBjRaIwLf5Xd+65scHR5wWW/jOSGG\nnmRjc5Oj4yPsmcvh6SVrGwt0220W0hn6kzE7G2vEowHFlSW2Nsp4vkQykyKhaRQLRZYW8rz6+it8\n/OE9puaU6XSI7Xisry6hqhG5XJ5uu4ftWAxHYwaDGavLS3SHAww9iRu6BK5CulygNjCRFZV2u0U6\nnWI8srhx53kcy0aSZeLQx5zOmJoWt67vkMwlUeUEz9zYo97usru1gmm67F1Zod5o0mj2iHwXUYZm\ns83q6iK1yw6XrR6LlTzLG5usVCtUtq7R77RoPKqhKjERAs/c3uO7v/+7ZBIC9w+62I7HxBxxelrn\n8NMPSOZ0zmo9Ls/PSCQEHtzbJ5lMATFLKyssLpRotHtkszk8x2P/4Ih8PolhZLBnU/zoZ7vGpw99\nUeRJ7MHPi44EYR5ZGLgO3mP/bxjGCPGcD21NTGzXQ5IkVEUmCAIkSSIKwfI84ihG02QUWUYW54XW\nCx+7IrwAgXlxBp6OoBVZQhRFdE2Zi7pUFdebd/TC4/m0rutkcjlmjy1Qlus/xmWKxPw0DlHX5j5m\n7bH3WEvoJNNpHNt+yqCOY8ikUpQqJaIoxnYc0pkimiYhEuJ6IebMQnj8vklt7rf+u3bRf9/zS1+Q\nb96c75AkMUZRxHmeZSIEIcAwRD76sM+D/R5TMySbl3jj9S/wwou3GI77lBYVklKJg+Ma1fIi9e4U\nMbbp9KYkFIHtzV08f0K7OyWIYnzfolJdZDrtk0wqdNsjTs6bGMkMR4fHfHh0Sq1Zo95qMRh26Jsj\nUgJkKmlyWZHt1SKX9UtWV5YxlAW+/29+hKjDlc0cqwurtHot1la2OG+1SKgiS6tXKBarnDQ+pVRS\nSCXyXHbPUCQTNZFgc+cqG6uL9Pp1jg/bXN1OcfN6laEdYs002g8vmDLltDVEFjxmlk82kcG3pvjM\ncGKL2vmATsdCkjLUGxPMmYmLxOlpk9G4yUJ+gZE1od7ugRhgWzPsvsqrV1+mZw/wvCHXrlzFSJgs\nVMtzpKQ7pdGwkP0kD046tFs+V6/mgHgOo9Dnt9tsOo0siVRKCsOhSxgpdEcO+YKEkhC4trPDeDag\noBb49FGL0cRF1ER21lO0Rh6BE3JZ71MupzFNj05nSmUpzeXFhE/vNeh0RyCJxJGInlxANYrc3z/m\n0X6fZn3I13/1BsHM5P2HHTLJmKtXynR7E955Z0S5WGQ89jGSIYghE19gNHJAErGcCASfesNiPHHo\nD8bIYoyeU1ldSGE5EwxF55lb2/jxAFkVEGwJxYj51a8+R7UQ0OuaNJo2k7FHqVhmdTnL9loGQbZp\nNOYXwPHEZzAKWK4WCOMAPSUyHM0wXZeJHZGVVOqdEdf3FgiiHH/x/QfoiSSGVqbZapMyNBq9MYHj\nE6sOSws6tmuwtrTD6Wkbz4vxNZWsDmYYY6wsYY7rFDIRC1dXePb2TV7bWycoe3THPRYyZYKRwz/8\n9VdpxjJvv/8WTqTw7EvPcvfTuxSyBe49OuXg+JzhaMywP+Wf/ME/4y//rz/GdGScMKDb67O2tsbR\n0TEIkMvmKOaK1Gpn6Ok0f/gv/ojLyzaNRoulpRw72zvU23UajQ6vvHKH7/3l33Dn5S9xfHyCJ0p0\nO31iBJZ3tvn33/8RuUxxbpVKJTmuXVAopBGCiHv3DsikNBYXlvjJ3X3CIEJSE/yDb3ydVqeH7w2Z\njKYUCmUKxTzdwQTXi0hpEuvLK5xfHuD4AggKC/ksxUIe15vrEu7d/RRZURj3e6TTaUr5PKIs8eqL\nd7hs9Hh0eE6jN0SUVSREJjOTeqPNtZvX6LU7pPMFbNPktVee55O7h7SaDZK6wkV9xM1nr/Huh/dY\nKaT48CcfM/HGTGYuIPDc7iJfePEFcsR8/8MPMKczRDnD4f4BgaBTrS4hC0Ac8qXXXubRaY1WlGCt\nmMX1AqYTk3Ihz1mtQSqTpFoqE2MTBhZvvPoy3d6QwPd/QXT0WUDGE0/uk7hBmBfkKIrRdBlJlPD8\nAMsNiMLHXlpZwnZcbNfDcQNs10dTZFRFxnI8VFUi8EJmrv9URe0GAaoiETwOapgXxrkwLIoiFFkm\nDEMyOY1b13d45vourjdha2uHerNL4HusriwwGo3I5Ap4jkMYRqiKhBdEpBIqqZSKbmTwvTlQKorm\nzytRkHAch6SmzH3LssRkZjEYjFDV+b7bti0Wl1e4vGyRUOb0MUGY5x97QTi3g/5HEqb+Y+cJVhp4\nOon4pS/IG+sijhOTzWSoVlRczyMMQNfn5JXNzSxry3scHh1hTj2OT86p1c55+bmrpNSYN9/5hOks\nxppOSWoqjufPd7HVKuZ0ijlzGE8sdveukMvkCOOYSjGD6/nk8yrdnomqSVSrRSQxQTaTZG19mX7P\nQpMNEDyQBca9MZlcGiMZUas3eeutQ/RMlnxaZuqNkBWbG6s3eXh2iaIuEgQBI+uIex/dZXN5j/bQ\n5pm9BfpDk2pxlbffPWbUrxFEOn7oI2sya4sr9Pom7W6T/riDKwYkk0kU0UPRkvQHJhPPQtVViqVt\num0fP5pSyi9hGD5qQmMyDYnCiGIhzbhngx4gRAKf7l9QymUw1DyyonDWauDYMyzH4/SiR0Zf4LIx\nxLRtDE3h7MzCwqOYTpPPJ3FMiZltUS1X2dxcQpZVYifPh3cP6fRd6g0HRY7Y2cyztCShyDH7h21W\nlpK0JjO6bQfQadfHZFNpLi4GOG5AuWTgxwG5TBY9CQoqmbzKyuImpjnmhdtLDAYa9+/vEwVTZODq\n5gpf+txt6p0WVtAnn0sgoVBrjHBcgeevb+NGEzpdm6QhEJFkOjQJ45g4hLRqkM7EOH6MYwUoapJn\nbhTY20miKis0L11yVSCMmEwDOiOT/mhCQhdQxIBmp09CVdndfYbx2OQnd/fnGdSVFOVqiUhI4Qcz\nPDcgk9JotB06HRNRTHJ6NmVmelyeTxDViK2VArY/JZlWqJYV0kYaRbTnpB+1wuLKFuNRi9Xl61SL\nacoFDVV2iceX/PY3vwExNNo93njjVc6OazRbA4azKUUjxn9wgXl0xrgT0XGmaEHIlc0qQZBAKeR5\n5to1jk7O2N3ZoDm16DdrzGYOK8sLDAcjhDDisl3jK1/6HJOxyW9+88tcubLBWz96m4QmkTBSNNt9\ngijAmlncvnODf/z738a2ZkiSS7Gwwsc/uUu/O8RzHA4PzsjksuhKxOHBI7RECgBDT6C5LuWVFfzI\np99o8d5775FPZ2l3+7j2iFdfe5Vqpcyf/4cfMB2PuPPcM3iuy/HpMYuVMsORie85pFMJEmrEoDfi\nst4kmzeYjEwiN6a0uMjB/hGNdpdI8HFtn5k5JJ3SyOXzrKwuEYQRjeYF44lNJqMx6E/wfY9hr8ts\nOqXZ7uK5PntXtvD8gHKlij0zMQwdSUuzs1Xhxs0b9PpDVpYqlBe2+O+++485ePdN6q02EydAUyKS\n6QxLSwXe/Is3SQsh92ojFheKTCYmYRRSLRVI53N88NHHXDaHDAZjlleqiLbFla11hoM+w9GYbq8D\nxEiyRr3RIqEpFHI5CAQiSabe7Pydz19ZEpEkEQQBVZbngqTHGdSCIOJ48w7U9YKfGdFG8RxukUio\nQExCldA0HUkGx52PeOPop0EN8ESRHBOE8TyPWJp3vqIg4AXz9KY4jtF0ifW1JZrtAbOZy+/+7jd5\ncP+Y7/zet3j46IDRcIoiyyiqimmaZDM6qZSKKmtI8ty3HIc+kjzPJ9bUuQapP5wiP754OI+V2bIk\nkk2nCLxgTuwCCEMWlxZpdXpP/94nVLC/bzEGyGczeJ73s5SwX/aCvLYGhi4hyzrvf9hiZyvPg4cj\nlpcNSoUsvf6YR8cdfD/ka1/eYnnFpdGzsF2NidenWNhib3OZRCpJuzvCcQOs2ZjZbIKRNAgCC0kU\nmE1NRsMRuq5jzsbMLJF8ocxgOCWdBMOQKFRVmvUemmQgyCqdboPnnt2i3fbJGgInlwNypeu0hk1m\npki+WGba6zHtBlSLaazARY4C+uMuJxfnOL6KEwcEWHTrI+4+PKXXn0CU4+qtq+jajA8+PMLICbz8\n7Et0xwPaQ5/VtTJbxSzvfnTG9aurmI6J6/s4sUA1ZXBeG3Flc5v/568+wJ5Z3Lq+S7tnEfl9bjzz\nPAeP9tmsZnn22T0QB8hiGlkq0Ww3MC2fcsZAk1QMNQMBZPM6t59f4+23zykW4e0fdygVVXRVIZnS\nmTlTVEmkXFymlCvy8OCE09MBvVGHwAfNyDEcWDy3t0W7b7KwKKDrEuWygqLGOHbE8lqC89qE5YUN\n2v02N++8wtTsomc0WpcTNlY3mM0GTE0b0/QZ9AdUy5t4U5MfvrvP9laWnR2DwcAlkzZYXA7JZOaj\nfMsKcL2QYlFmOotxPJM4SjKybQqJHMlUmji2SOoyo5HLzLa58+wCU9On03OwTJvdPYMo9jm4N+Cs\n0WY5X6Uz6rO3uYMg9bl5fZFiwaDbH5FNJ4nwyGUjTmtDoiBiYSnB/lGHk4sez91aQlZsUnkd3/Hn\nyMIYPM9nZrqsbOewZj5vvHyNIIpJ6RXu3jtl90oBXQvYXM9TKpb59P4Rjx4c88ytXTaWt3j3wx+T\nSSeZTTpUxzHTts1SWgXNYDqz8GOfzdVV7j44Z3Y65qXlKiNPZv/imM3nbnLStfno+BFvfXKP88sa\n3e6ML37hVb795es8Omjx8d39+cj17AI1neWLn3+Fz73+PN//N/8eyVCp1ZrYwwk7VzbRUlDKlvAi\nWCgW8IIJimjwR3/yZzz33A263Q5iIs31vXVef+VlvvCl14gl+J1/8Ht8+fXnWLv+AmdHj2jX65jm\njG986+sUq8u8+c4HON0RC9vreFFArfGAUnULZzKhb5p8/6/eJJ3J4rpTlpeWubysc/XaNqbl0mp0\nsR0bBJ+l6jLpTJY4ENjeXMENbFTZYLFa5uruGpY9ZxR7PhQrVXqtNm4o0Os0ieII23YpF8qsbixS\nKeUYzQImU5MgCBGJaXX7yJLIM89e5dd+7Zt88vG7SJJIr9dmMPb57n/5HdbWFjk7eEB+c4PvvfU2\n7c6YIBhTqSR4YW+R28+9SH0U8Odvfsju7hYf3zvit3776zy4f5/vfucfcevmdTTN4JN7D7lTrRIZ\nIqEX8/ytPKeNKSESoW8zm1rImo6eTFLKJXj3w4cMBn1iUYXYwXF/cZ/5zI1rc9KU586BH4/FXXEc\nz+MVJRked8dPujtFkgjj+W44CMKn6U4i89HwzHLmIqvHHOknXfdnx+JPYB0JRUZVVeIn3XkYs7G+\nRq9vMh2P+e3feA7HE6jVO9hTixeer/Bw/xLVyBB4U2aWj6YoSJKA63rMbI8wjLEcH0UWmJou2Vye\n0cgkjH4KCXlyVFUilU5j2zayLCOLIq7rYs9myIowh5j4IdpnhG5/3+O47tNd9kK1PPenBwGJhPHL\nW5Cv7mpMTO8PF0gAAA8DSURBVJ9aY0o2pTCZOciqgigoLCxW+d5fnXF8OEDXZTa3FFRVxLUUDu9d\nsLm6y+npMZYVcHR0hOOGCHFApVrmxt5ViEM8X2R9Y5N2u0ccg+NYjAYz1lYXcByXpCFRyMtc1l2E\nSMWyHBLJDBdnxywt5jmvtZBlAxSLl559BgSVtB6wtJRGElzSpTLLBZWRmWAaq1hOEj8U8bwBe8sl\nglhmo5hjpZqh0RsgCQJnF11mkz6+lwTBJanp5NMG7f06vjxC9D1SxSS3ri4TiwapGGrNEZsrzzI2\nB+xtLnJyMeA/+9INKjkJw4CVUoLzxpjpJKRaNPBlh5NGm0wyx2g4pmd3sE2XX/3cLTwCpEiiWK1S\nriywtJZn0nUp53PYToFWq0k1l8UJXYRYIYo9VpYXmE3G6JmQGJte36NYSHL9ahHbGtJqBYSyTCEX\nc1Gz2V5fxTBEgiBmaSGN70mousThYR0ByKRcbMvBswPiWGA2G6JqEpWqjmYoLFeWCKOI5nDA7VtX\nKFYEClmFfF4mjt15/uzU4OyiRzJpUMqlMWcW2ZTK0AyplhI06wNkLSSRcBnNYqrFLAsVlXLeAAFS\nyRTZjMBXvngVJ/CYTjyWV7Ksr1ao95tMpw6lckxCSXL/UZtaY0qpmGBm2ZQKOawh7G1v4KNRqw3Q\nEwJxLNEeDNhZX6Goa4SCRzGX4ex8xPpakjtXFxkOHJ69ViV2Q45aXVqtLmsrVQajMelUCXsco+oa\npjnDSKZZzOssr8HhaZfAdUFMEOKgGlkupxaaFHB6UMNBxA5FzMmABT3FMwsZLto97nz1C6yk8/y/\n7d17bFR1n8fx9zlzOzOd6UzpnVJaChSKdVkp+LgSTP8QL7HZBCVRERN3+aeoCdFouIiKERUvf2kw\nEfPEP6rJoxtITHaziRgTL+giRcGtlQJtEXqbzq1z5n4u89s/pvbRx8d/nkRnsv29kkk65zQ5v35y\npt+ZM+f3/TU1BVnZ/s+cOX+ZjKUwMzODwMmZ4Sus6FhFZ0cLVQEfVYFqejdvBNtG82ng1VjXuQpH\nVT0pPUIkFqa5aSmTMxHWrG5j5OIFUimb6mo3+lyaZfV1aPkCwSVLSM4lmYrGODv4HcGAF6fbTUNz\nK/V1LfzHB3+hsbmRaCTK6LUpxsYu88PwCC0rWvE4nXStXUOguh7N40HxeDn91TcUhcX67rWMXrmG\nVYRcNkWhYBKNpwj4q2hubEDBx3RMJ5nKYJhp0jmDRHKOyakIHo+TqXCcOT1DPD5HNpNi1co2wrNh\n9Lk0tiUIVPnxBwKkszmuTYYZvTpDIjqLy6HidLlxOlVQHOTzBpFInNnJa8RTBul0BhUbKDA+Os7Y\npXGEDYNfnAYsrutajq/aT3IuxuZgK9VVS9AVG1JZ9EKOXC5LyOVl6MIoPRs38e2Xg2RyeVpbGrjx\nlo20Nnrp+9f70ONRmlvbufD9MNFYEsMwiMXjBKuriMSzdKxopbYmxOTkNNls4e9+uovFYhjzl3YF\nf22UobmcmLY93+tZUJwvZn6vB5er1GRDKAJVKfVxdmlulrW2Ep2NLBT1n5Y9/Ht3KP9EULqka833\njHa5XORzudLSlwL+7d+3cu3bcYbHLxJNZFl/w814PILwzBy5fBbDsKEoSGeMhTcKQgiqNDf2/CVw\ny8yTK5ioqkLAp4FSWqxCVRRq6+oxjUzp6wMhyJulKwEFs3RpXlGU35zD/I8QiopPc5HPp9G0QOUV\n5EQiwcDAAKGgzZUfczQ3uZmaKuDxenEAE1MZslmIx9M4nU5qmvyEAg5MS3D5Yhqh+IjEZ5mcjOGv\nDuByWuSzBj5fFarqIqmnaWxuRNfTRMIxcrkcN6zvBsWJbRfQvBozM1GgSCZr4a0KoSfjhEJLSCaj\nLF/aRntdE5PROJlclpbmBq5NT3B+eJT6JW3k03FCPj+RTIzxHxPUhbyMXYkyFZ5EoUCVHzyql7yR\n5/vLYaIJnfo6L16vFz2dpbGxCYdWwO9x0bV6GYFQlkuTCdatWY5T0ebv8FOJRCfJmTYtrdczHbtC\nUyjEhcuTmEUdK1fANgWJnIGvyo9Lc6AqGdasXkHRMDAL1YRnY2SKBvXBWloaa3C7AiRTGWwUUtks\niuJgJhwmkcyCcHN5YpxMwcSyTILeIBMRnampDIaVI5U30HUDu2ih6wJbKa1YYxUFzc1VzOlZ3Jrg\nypUshYLB6FgSl6YxMZHCoSpcvjhHKmWxrrOJuXiWVNpkyRIPPp8LwxAEgx503cbI2cT1LLORKF3X\nBbl6Lc7SJjdFq5pYIovfp2Eafq5OxPF4HOQKNjmjSC5jEgw6yaaLFIsGy1taMK0CqgM0t4LAoKE+\nRGROJ5czmJvL4dEUTDuHbVkoKuhJg9GxGLbqJG/CD8MxigUVwy6yvLmdgpVF10ttCXOmgWl6OPPN\nRQyjiJ60yBsqVZ4aLKGj5/K0NHtorG+gqbGOIgUcmkVtsAmn2wLVSz6fQS8IqtwuNB/MzCTRMzlS\nOQOr6GVmOsH6lnZC9UuYDE+yrL6Gmto6mupriP84h/+6Ht75y3/SXFvDSk1jpqCzacMNpI1r2Dkv\nrpo6PAroDkF0NM6liWmEs/SmYsOGbjraW7ntT51MXE1gZ7PEMhkKeYulLY1EYgncmofYbJTGZWsI\nVbv5n9OD1NY0cHl8hJpgiMmpKAiVhvpGUB0sa2mkZdVKFL+XHy5fIxaPcvONf6Kr+584+fFJJiYm\n6GgOkkrGGDz7DXoqQ2NTIxtuvJmlS5u4dPESrW2tXLo4yv8OjeBxOFi3bi3//V8fYSXSpAsG3d1d\nGIbF3JyOWTAJz8ZJpdKYls3kdISkniqtB1ws0N7RjB3N0tSmkUhkmY3E0fUM+WyafMHEsopMTs1Q\nMIo0NjfgUG02bNpANBwlVBMkEp4lmy4to2gLcDhUSlNeFdqXt+Byubh8aay0WpFlY9sK+lyWmdkY\n0WicRDKBw7DA48Gh6Nimg39Zu5zbb7qO8ZTg5FfnmE7MlbqdmQqqA2KxBHV1AZbU1WKpAuFwcP3G\nTUx9c56PvzpFbV0z3kCQZDzG6o4OLo7+iFdzEY/rZDIZ8rkcWHkKeZu8aaHOL4Lw8wcoKA4njU1N\n5LLZ0jQooWBTaqVZLJau1f70+26nk5xh49U88wswKHSuWoVp22SzBQpGAZfDgebxzBdbdb4hiPKb\nx7eLAk1z46/y4FAUXO7SndOtLU2sWbOJj7/4hETGQ9HMcPbbH+jquo6kniWfS6MqKi6XC8sW2JRu\n5gIVqyjQPG5yBQvN48JX5cYwili2wO/TEAK8mgeXW8MyS+srBwIBPJ7ShwdVVVGU3x73P/qwLQtd\nTxMIhnA53ezcuZNQKPSruqiIv23q+QcZHBzkgQceKMehJUmSJKls3nvvPTZu3Pir7WUryPl8nqGh\nIerr63E4HOUYgiRJkiT9YWzbJhKJ0N3djaZpv9pftoIsSZIkSdJfqeUegCRJkiRJsiBLkiRJUkWQ\nBVmSJEmSKoAsyJIkSZJUAZzlOKgQgkOHDjEyMoLb7eaFF16gtbW1HEMpq/Pnz/Paa68xMDDA1atX\n2bdvH6qqsnr1ap599lkAPvjgA95//31cLhf9/f309vaWd9C/I8uyOHDgAJOTk5imSX9/P6tWrVr0\nuRSLRQ4ePMj4+DiqqvLcc8/hdrsXfS5QanBxzz338M477+BwOGQmwN13343fX2pLumzZMvr7+2Uu\nwLFjx/jkk08wTZMdO3awadOmystFlMFHH30k9u3bJ4QQ4ty5c2L37t3lGEZZvf3226Kvr0/ce++9\nQggh+vv7xZkzZ4QQQjzzzDPi5MmTIhKJiL6+PmGapkilUqKvr08YhlHOYf+ujh8/Ll588UUhhBDJ\nZFL09vbKXIQQJ0+eFAcOHBBCCHH69Gmxe/dumYsQwjRN8cgjj4jbb79djI2NyUyEEIVCQWzbtu0X\n22QupddNf3+/EEKITCYj3njjjYrMpSyXrM+ePcuWLVsAWL9+PUNDQ+UYRlm1tbVx9OjRhefff//9\nwkTxW265hS+//JLvvvuOnp4enE4nfr+f9vZ2RkZGyjXk392dd97Jnj17gNJ8PYfDwfDw8KLP5dZb\nb+X5558HYGpqimAwKHMBXn75Ze6//34aGhoQQshMgAsXLpDNZtm1axcPPfQQ58+fl7kAX3zxBZ2d\nnTz88MPs3r2b3t7eisylLAU5nU4TCAQWnjvnl+BaTLZu3fqLhijiZ9PBq6qqSKfTZDKZX+Tk8/lI\npVJ/6Dj/SF6vF5/PRzqdZs+ePTz22GMyl3mqqrJv3z4OHz5MX1/fos/lxIkT1NbWsnnz5oUsfv4/\nZDFmAqBpGrt27eLPf/4zhw4d4oknnlj05wqUWjUPDQ3x+uuvL+RSiedLWb5D9vv9ZDKZhefFYnG+\nv+ni9fO/P5PJUF1djd/vJ51O/2r7/2fT09M8+uij7Ny5k7vuuotXX311Yd9izgXgyJEjxGIxtm/f\nTqFQWNi+GHM5ceIEiqJw6tQpRkZG2Lt3L4lEYmH/YswEoL29nba2toWfQ6EQw8PDC/sXay6hUIiV\nK1fidDpZsWIFHo+HcDi8sL9ScilLFdywYQOffvopAOfOnaOzs7Mcw6go69at48yZMwB89tln9PT0\ncP3113P27FkMwyCVSjE2Nsbq1avLPNLfTzQaZdeuXTz55JNs27YNgK6urkWfy4cffsixY8cA8Hg8\nqKpKd3c3X3/9NbA4c3n33XcZGBhgYGCAtWvX8sorr7Bly5ZFf64cP36cI0eOABAOh0mn02zevHlR\nnysAPT09fP7550Apl1wux0033VRxuZTlE/LWrVs5deoU9913HwAvvfRSOYZRUfbu3cvTTz+NaZqs\nXLmSO+64A0VRePDBB9mxYwdCCB5//HHcbne5h/q7eeutt9B1nTfffJOjR4+iKApPPfUUhw8fXtS5\n3Hbbbezfv5+dO3diWRYHDx6ko6ODgwcPLupc/pZ8DcH27dvZv38/O3bsQFVVjhw5QigUWvTnSm9v\nL4ODg2zfvn1hlk9LS0vF5SJ7WUuSJElSBVjcX9xKkiRJUoWQBVmSJEmSKoAsyJIkSZJUAWRBliRJ\nkqQKIAuyJEmSJFUAWZAlSZIkqQLIgixJkiRJFUAWZEmSJEmqAP8HGmAqFeAJFVEAAAAASUVORK5C\nYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# reduce the size of the image for speed\n",
+ "n_colors = 64\n",
+ "\n",
+ "X = (china / 255.0).reshape(-1, 3)\n",
+ " \n",
+ "model = MiniBatchKMeans(n_colors)\n",
+ "labels = model.fit_predict(X)\n",
+ "colors = model.cluster_centers_\n",
+ "new_image = colors[labels].reshape(china.shape)\n",
+ "new_image = (255 * new_image).astype(np.uint8)\n",
+ "\n",
+ "# create and plot the new image\n",
+ "with sns.axes_style('white'):\n",
+ " plt.figure()\n",
+ " plt.imshow(china)\n",
+ " plt.title('input: 16 million colors')\n",
+ "\n",
+ " plt.figure()\n",
+ " plt.imshow(new_image)\n",
+ " plt.title('{0} colors'.format(n_colors))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Compare the input and output image: we've reduced the $256^3$ colors to just 64."
+ ]
}
- ]
-}
\ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/04.3-Density-GMM.ipynb b/notebooks/04.3-Density-GMM.ipynb
index 1dc294d..ccafdda 100644
--- a/notebooks/04.3-Density-GMM.ipynb
+++ b/notebooks/04.3-Density-GMM.ipynb
@@ -1,526 +1,571 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:e4c6c984a7c394bb11bf7a997509e7c23ed53929440bfe484e60e0e4fe77daad"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Density Estimation: Gaussian Mixture Models"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here we'll explore **Gaussian Mixture Models**, which is an unsupervised clustering & density estimation technique.\n",
- "\n",
- "We'll start with our standard set of initial imports"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "from scipy import stats\n",
- "\n",
- "# use seaborn plotting defaults\n",
- "import seaborn as sns; sns.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Introducing Gaussian Mixture Models\n",
- "\n",
- "We previously saw an example of K-Means, which is a clustering algorithm which is most often fit using an expectation-maximization approach.\n",
- "\n",
- "Here we'll consider an extension to this which is suitable for both **clustering** and **density estimation**.\n",
- "\n",
- "For example, imagine we have some one-dimensional data in a particular distribution:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "np.random.seed(2)\n",
- "x = np.concatenate([np.random.normal(0, 2, 2000),\n",
- " np.random.normal(5, 5, 2000),\n",
- " np.random.normal(3, 0.5, 600)])\n",
- "plt.hist(x, 80, normed=True)\n",
- "plt.xlim(-10, 20);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Gaussian mixture models will allow us to approximate this density:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.mixture import GMM\n",
- "clf = GMM(4, n_iter=500, random_state=3).fit(x)\n",
- "xpdf = np.linspace(-10, 20, 1000)\n",
- "density = np.exp(clf.score(xpdf))\n",
- "\n",
- "plt.hist(x, 80, normed=True, alpha=0.5)\n",
- "plt.plot(xpdf, density, '-r')\n",
- "plt.xlim(-10, 20);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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ppLTU39Was1qfuE7r1sHO7XDDDZQMLsazsRKv193hbXl5LhzOnONqA1L+mUdr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\nAAAASUVORK5CYII=\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Note that this density is fit using a **mixture of Gaussians**, which we can examine by looking at the ``means_``, ``covars_``, and ``weights_`` attributes:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "clf.means_"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 4,
- "text": [
- "array([[ 4.5601338 ],\n",
- " [ 0.0861325 ],\n",
- " [ 3.01890623],\n",
- " [ 6.87627234]])"
- ]
- }
- ],
- "prompt_number": 4
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "clf.covars_"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 5,
- "text": [
- "array([[ 30.34748627],\n",
- " [ 4.30521863],\n",
- " [ 0.19750802],\n",
- " [ 14.78230876]])"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "clf.weights_"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 6,
- "text": [
- "array([ 0.27613209, 0.48308463, 0.11612442, 0.12465886])"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plt.hist(x, 80, normed=True, alpha=0.3)\n",
- "plt.plot(xpdf, density, '-r')\n",
- "\n",
- "for i in range(clf.n_components):\n",
- " pdf = clf.weights_[i] * stats.norm(clf.means_[i, 0],\n",
- " np.sqrt(clf.covars_[i, 0])).pdf(xpdf)\n",
- " plt.fill(xpdf, pdf, facecolor='gray',\n",
- " edgecolor='none', alpha=0.3)\n",
- "plt.xlim(-10, 20);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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U9fZZg4K1SCtSsJZ5Fb3rDgBeWXdq2fOS8dkPUJlUvGLzdKPMpBk8EJv7PnYR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\nj+Ou3IP2n1/L0jPfytLjjyVy9Tcwdu2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bz7+M9X/8CdjcVz+mVjEIlZKmjZrP7UrNMKRZ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\nShRVEAjj+vS89vAkWPab8VXIatQMuVBx3YAL4SAclzSJjYt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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "These individual Gaussian distributions are fit using an expectation-maximization method, much as in K means, except that rather than explicit cluster assignment, the **posterior probability** is used to compute the weighted mean and covariance.\n",
- "Somewhat surprisingly, this algorithm **provably** converges to the optimum (though the optimum is not necessarily global)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## How many Gaussians?\n",
- "\n",
- "Given a model, we can use one of several means to evaluate how well it fits the data.\n",
- "For example, there is the Aikaki Information Criterion (AIC) and the Bayesian Information Criterion (BIC)"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(clf.bic(x))\n",
- "print(clf.aic(x))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "25696.4735953\n",
- "25625.7016679\n"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's take a look at these as a function of the number of gaussians:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "n_estimators = np.arange(1, 10)\n",
- "clfs = [GMM(n, n_iter=1000).fit(x) for n in n_estimators]\n",
- "bics = [clf.bic(x) for clf in clfs]\n",
- "aics = [clf.aic(x) for clf in clfs]\n",
- "\n",
- "plt.plot(n_estimators, bics, label='BIC')\n",
- "plt.plot(n_estimators, aics, label='AIC')\n",
- "plt.legend();"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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K8Qlm/Oviu3u3UVtVwktbmslkdF1cRESOnEJ8gi2obKAoVMSG5lc4Zn41nT0p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\nMvAi8ATwdn/fc4DHrLVtQK8xZqExxgH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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "It appears that for both the AIC and BIC, 4 components is preferred."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Example: GMM For Outlier Detection\n",
- "\n",
- "GMM is what's known as a **Generative Model**: it's a probabilistic model from which a dataset can be generated.\n",
- "One thing that generative models can be useful for is **outlier detection**: we can simply evaluate the likelihood of each point under the generative model; the points with a suitably low likelihood (where \"suitable\" is up to your own bias/variance preference) can be labeld outliers.\n",
- "\n",
- "Let's take a look at this by defining a new dataset with some outliers:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "np.random.seed(0)\n",
- "\n",
- "# Add 20 outliers\n",
- "true_outliers = np.sort(np.random.randint(0, len(x), 20))\n",
- "y = x.copy()\n",
- "y[true_outliers] += 50 * np.random.randn(20)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 10
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "clf = GMM(4, n_iter=500, random_state=0).fit(y)\n",
- "xpdf = np.linspace(-10, 20, 1000)\n",
- "density_noise = np.exp(clf.score(xpdf))\n",
- "\n",
- "plt.hist(y, 80, normed=True, alpha=0.5)\n",
- "plt.plot(xpdf, density_noise, '-r')\n",
- "#plt.xlim(-10, 20);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
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- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now let's evaluate the log-likelihood of each point under the model, and plot these as a function of ``y``:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "log_likelihood = clf.score_samples(y)[0]\n",
- "plt.plot(y, log_likelihood, '.k');"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "detected_outliers = np.where(log_likelihood < -9)[0]\n",
- "\n",
- "print(\"true outliers:\")\n",
- "print(true_outliers)\n",
- "print(\"\\ndetected outliers:\")\n",
- "print(detected_outliers)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "true outliers:\n",
- "[ 99 537 705 1033 1653 1701 1871 2046 2135 2163 2222 2496 2599 2607 2732\n",
- " 2893 2897 3264 3468 4373]\n",
- "\n",
- "detected outliers:\n",
- "[ 537 705 1653 2046 2135 2163 2496 2732 2893 2897 3067 3468 4373]\n"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "The algorithm misses a few of these points, which is to be expected (some of the \"outliers\" actually land in the middle of the distribution!)\n",
- "\n",
- "Here are the outliers that were missed:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "set(true_outliers) - set(detected_outliers)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 14,
- "text": [
- "{99, 1033, 1701, 1871, 2222, 2599, 2607, 3264}"
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "And here are the non-outliers which were spuriously labeled outliers:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "set(detected_outliers) - set(true_outliers)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 15,
- "text": [
- "{3067}"
- ]
- }
- ],
- "prompt_number": 15
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Finally, we should note that although all of the above is done in one dimension, GMM does generalize to multiple dimensions, as we'll see in the breakout session."
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Density Estimation: Gaussian Mixture Models"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here we'll explore **Gaussian Mixture Models**, which is an unsupervised clustering & density estimation technique.\n",
+ "\n",
+ "We'll start with our standard set of initial imports"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Other Density Estimators\n",
- "\n",
- "The other main density estimator that you might find useful is *Kernel Density Estimation*, which is available via ``sklearn.neighbors.KernelDensity``. In some ways, this can be thought of as a generalization of GMM where there is a gaussian placed at the location of *every* training point!"
+ }
+ ],
+ "source": [
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "from scipy import stats\n",
+ "\n",
+ "# use seaborn plotting defaults\n",
+ "import seaborn as sns; sns.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Introducing Gaussian Mixture Models\n",
+ "\n",
+ "We previously saw an example of K-Means, which is a clustering algorithm which is most often fit using an expectation-maximization approach.\n",
+ "\n",
+ "Here we'll consider an extension to this which is suitable for both **clustering** and **density estimation**.\n",
+ "\n",
+ "For example, imagine we have some one-dimensional data in a particular distribution:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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S+QAAZA7L0Pb7/XI6nVc72O0KhULKysqa0paXl6fh4WHl5eXp3Llzqqqq0meffaZ9+/bF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\nAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "np.random.seed(2)\n",
+ "x = np.concatenate([np.random.normal(0, 2, 2000),\n",
+ " np.random.normal(5, 5, 2000),\n",
+ " np.random.normal(3, 0.5, 600)])\n",
+ "plt.hist(x, 80, normed=True)\n",
+ "plt.xlim(-10, 20);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Gaussian mixture models will allow us to approximate this density:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+72OU9UjnjP/+ixH//quKW6QVqLSlAUtZKcnPP4cvOYXNusxLjkNl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\nECJF/A3L5BLyjtICjwAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.mixture import GMM\n",
+ "X = x[:, np.newaxis]\n",
+ "clf = GMM(4, n_iter=500, random_state=3).fit(X)\n",
+ "xpdf = np.linspace(-10, 20, 1000)\n",
+ "density = np.exp(clf.score(xpdf[:, np.newaxis]))\n",
+ "\n",
+ "plt.hist(x, 80, normed=True, alpha=0.5)\n",
+ "plt.plot(xpdf, density, '-r')\n",
+ "plt.xlim(-10, 20);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Note that this density is fit using a **mixture of Gaussians**, which we can examine by looking at the ``means_``, ``covars_``, and ``weights_`` attributes:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[ 3.95722594],\n",
+ " [ 0.25029969],\n",
+ " [ 1.45154151],\n",
+ " [ 9.56336527]])"
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "clf.means_"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([[ 23.14843932],\n",
+ " [ 6.46691735],\n",
+ " [ 5.79759101],\n",
+ " [ 14.80680322]])"
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "clf.covars_"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([ 0.21904396, 0.31750123, 0.35379208, 0.10966273])"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "clf.weights_"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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cC2n0MXaX03cIAmLBqyAoCjwrXrS7GiLKIIY29ZpB69+FIxblWXYGRCuDsASB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\noa7zd5Otg4Ow3bNXo71ixQrOPfdcAKZMmcLq1avLbevWrWP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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.hist(x, 80, normed=True, alpha=0.3)\n",
+ "plt.plot(xpdf, density, '-r')\n",
+ "\n",
+ "for i in range(clf.n_components):\n",
+ " pdf = clf.weights_[i] * stats.norm(clf.means_[i, 0],\n",
+ " np.sqrt(clf.covars_[i, 0])).pdf(xpdf)\n",
+ " plt.fill(xpdf, pdf, facecolor='gray',\n",
+ " edgecolor='none', alpha=0.3)\n",
+ "plt.xlim(-10, 20);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "These individual Gaussian distributions are fit using an expectation-maximization method, much as in K means, except that rather than explicit cluster assignment, the **posterior probability** is used to compute the weighted mean and covariance.\n",
+ "Somewhat surprisingly, this algorithm **provably** converges to the optimum (though the optimum is not necessarily global)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## How many Gaussians?\n",
+ "\n",
+ "Given a model, we can use one of several means to evaluate how well it fits the data.\n",
+ "For example, there is the Aikaki Information Criterion (AIC) and the Bayesian Information Criterion (BIC)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "25911.2121006\n",
+ "25840.4401732\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.neighbors import KernelDensity\n",
- "kde = KernelDensity(0.15).fit(x[:, None])\n",
- "density_kde = np.exp(kde.score_samples(xpdf[:, None]))\n",
+ }
+ ],
+ "source": [
+ "print(clf.bic(X))\n",
+ "print(clf.aic(X))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's take a look at these as a function of the number of gaussians:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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378ftdrNhwwbOnz/PzJkz77iYnLRsUkwpGNI6CIUjXG30MbUw/Y7fV0REZLwacmh9xYoV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\n4MGDHD16FLvdzvr163nkkUfo7e1ly5Y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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "n_estimators = np.arange(1, 10)\n",
+ "clfs = [GMM(n, n_iter=1000).fit(X) for n in n_estimators]\n",
+ "bics = [clf.bic(X) for clf in clfs]\n",
+ "aics = [clf.aic(X) for clf in clfs]\n",
+ "\n",
+ "plt.plot(n_estimators, bics, label='BIC')\n",
+ "plt.plot(n_estimators, aics, label='AIC')\n",
+ "plt.legend();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "It appears that for both the AIC and BIC, 4 components is preferred."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Example: GMM For Outlier Detection\n",
+ "\n",
+ "GMM is what's known as a **Generative Model**: it's a probabilistic model from which a dataset can be generated.\n",
+ "One thing that generative models can be useful for is **outlier detection**: we can simply evaluate the likelihood of each point under the generative model; the points with a suitably low likelihood (where \"suitable\" is up to your own bias/variance preference) can be labeld outliers.\n",
+ "\n",
+ "Let's take a look at this by defining a new dataset with some outliers:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "np.random.seed(0)\n",
+ "\n",
+ "# Add 20 outliers\n",
+ "true_outliers = np.sort(np.random.randint(0, len(x), 20))\n",
+ "y = x.copy()\n",
+ "y[true_outliers] += 50 * np.random.randn(20)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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g7M+BSpJwvgfvoe2WRgPHTaOgOZkLdV6u3GmISGYsbWpzwr4sAEBhd97Zqyns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\nxbUfEEC4xdEAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "clf = GMM(4, n_iter=500, random_state=0).fit(y[:, np.newaxis])\n",
+ "xpdf = np.linspace(-10, 20, 1000)\n",
+ "density_noise = np.exp(clf.score(xpdf[:, np.newaxis]))\n",
+ "\n",
+ "plt.hist(y, 80, normed=True, alpha=0.5)\n",
+ "plt.plot(xpdf, density_noise, '-r')\n",
+ "plt.xlim(-15, 30);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now let's evaluate the log-likelihood of each point under the model, and plot these as a function of ``y``:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "log_likelihood = clf.score_samples(y[:, np.newaxis])[0]\n",
+ "plt.plot(y, log_likelihood, '.k');"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "true outliers:\n",
+ "[ 99 537 705 1033 1653 1701 1871 2046 2135 2163 2222 2496 2599 2607 2732\n",
+ " 2893 2897 3264 3468 4373]\n",
"\n",
- "plt.hist(x, 80, normed=True, alpha=0.5)\n",
- "plt.plot(xpdf, density, '-b', label='GMM')\n",
- "plt.plot(xpdf, density_kde, '-r', label='KDE')\n",
- "plt.xlim(-10, 20)\n",
- "plt.legend();"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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bcSW7MBFJe1oURWSIhPY1kEUn7UVj+t02mmM907qjTj1rEVFYiwyZ+P7u27bKKvrdNua1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\nnaflmv8SsHY1HmtXY1UU9o14kRO9h967NkiSJN1D7noP3Py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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 16
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "All of these density estimators can be viewed as **Generative models** of the data: that is, that is, the model tells us how more data can be created which fits the model."
+ "detected outliers:\n",
+ "[ 99 537 705 1653 2046 2135 2163 2222 2496 2732 2893 2897 3067 3173 3253\n",
+ " 3468 3483 4373]\n"
]
}
],
- "metadata": {}
+ "source": [
+ "detected_outliers = np.where(log_likelihood < -9)[0]\n",
+ "\n",
+ "print(\"true outliers:\")\n",
+ "print(true_outliers)\n",
+ "print(\"\\ndetected outliers:\")\n",
+ "print(detected_outliers)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The algorithm misses a few of these points, which is to be expected (some of the \"outliers\" actually land in the middle of the distribution!)\n",
+ "\n",
+ "Here are the outliers that were missed:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{1033, 1701, 1871, 2599, 2607, 3264}"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "set(true_outliers) - set(detected_outliers)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "And here are the non-outliers which were spuriously labeled outliers:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "{3067, 3173, 3253, 3483}"
+ ]
+ },
+ "execution_count": 15,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "set(detected_outliers) - set(true_outliers)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Finally, we should note that although all of the above is done in one dimension, GMM does generalize to multiple dimensions, as we'll see in the breakout session."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Other Density Estimators\n",
+ "\n",
+ "The other main density estimator that you might find useful is *Kernel Density Estimation*, which is available via ``sklearn.neighbors.KernelDensity``. In some ways, this can be thought of as a generalization of GMM where there is a gaussian placed at the location of *every* training point!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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0djhPVVWcTield8ynZv738dvs1H3vVspm30RNTQ3aWeZiqwYjviEp6IuOnH9F\nNQ19WSm+oUPbHb50ej2JyS1s+SiOJlf4S5t6LVZpaQshMES6AkJ0hf5oEWp0DJ8dSOLIERMZV1bg\niPZ3OM/d1MDqDXuJssXCDT8I/AewrYSq8hLsMYk4zvJq2DNuPLb8j1Ea6tHOdkKYlNoalKYmvCnt\nQ1unh+u+VcVrfx3OtvzRXHdTcVj381qs0tIWQkhLWwwgqor+2FH8Y1J5+RUTAFdldb7sqNXuwO6I\n7fBflN3R6TUt4ycAbft1d1frCHTfGaENcM11TswWP9s+GRPW9C8AnzkKo4S2EINeyNDWNI3FixeT\nnZ3NggULKC7u2DJwu93MmzePoqKisK8Roqt0FeUozc24h6Wybp2BsWM9jJtY16N/R8vFUwAw7th2\nXvdpnevtGzqsQ1mUVWVGZi11NVYO7g3v3bbXEoWxpbnHllgVQgxMIUM7Ly8Pj8dDbm4uixYtIicn\np115YWEh8+fPbxfMoa4Rojta32fvbhqHx6Mwd66rdTvtHuOedhkAxvyPQVUxr1lF9PfvIHbW14m+\n+87gLmGhtLa0z+web3XtjYEpals/HhnW/XwWKzq/D92phVaEEINTyNDesWMHmZmZAKSnp1NYWNiu\n3Ov1smzZMsaOHRv2NUJ0R+vuXhsOT8Bg0PjOd1whrug67/AR+C6agvm9d4ibeTXR9/0I8zvrMBzY\nh3n9W8Tc8m2UutqQ92md633mQLRWo8e6GT6qhv27k6ipDj0gzWuJApAuciEGuZAD0VwuFw5H2ztA\ng8GAqqroTs2xycjIAGg3GjfUNZ1JSur8XaNoM2ifU0Wgy3lz6QS+ebPCxIk2dpeasNnMHU6Nigq8\n8+6sTG8wdihT/SYSk6IxLPkl3HYbhn174V/+BZ5+GmXCBFiyBP3SpSTmvgy/+MW561odmKPtuGgC\n1kPNZ63H1TNLWf1yHJ9vTubWu6rOXUd7YHvOaJ0ftyWKxEQHCQk993MwaH+mukieU/jkWfWOkKFt\nt9tpPG13oXDCtzvXAFRWNoQ8Z7BLSnIMquekqmpwyc6hBV8SDRxmHIuuP8nBg6U0Nrag07d0uM7t\n9mB3mGhsPHuZXq90KGtq8lBV1YCaNRtD3kfg8eC7bEagsLIBZcGPSPiv/8K/4mVqfvzAOesdc+Qo\nRkXhpNFOU1P9Wes48dISzJZJbHwnmlnfLUWv77yObkMgvL3OWppi9YF6qqZz1iFcg+1nqrvkOYVP\nnlV4uvOoHnhAAAAgAElEQVTBJmSSTps2jc2bNwNQUFBAWlpayJt25xohzqa2toY1ebtZv+UYTXsP\n0oIJpzUZj20/b23eS0tzxzDsrtM36Tg5YiQnx44LbtDhdFbjt9nxXDsTw+FDwa76zuhLS1CTh4Cx\n865vs9nP1Bll1DpN7P7i3NPLvGbpHhdChNHSnjVrFvn5+WRnZwOQk5PDunXrcLvdzJ07N3iectqI\noLNdI0R3We2BNbgd5eUUkcplmS5i42NoaQn9brkrApt0VBGfmNyhrMlVz5wbLsH69SzM776Nccun\ntJzatKQDVUV3ogzflEtC/p0zMkv4/KNRfPR+AlMvr+/0PF9UYCtRQ3NzeN+MEOKCFDK0FUVh6dKl\n7Y6lpnb8ZfXKK6+c8xohzoelzomtuY4DfJ2rsnpvh6vWTTo645s6DQDDlwW0ZN951nOUykoUjwd1\n2IiQf9/QEQ2kTmhkz04H1SeNJCSffXS4tLSFECCLq4gBwvpVYGnRo/aJpE6IXHD5LpqCptdjLNgZ\nPBZYMrWtG71p1xcAuIYO7XTJ1NNde2M1mqbw6Yfxnf+9lkBLW0JbiMFNQlsMCI2flAGgXjK6x+dm\nd0lUFP5JF2HYsxt8PqD9e/f1W46xb1MgtL/w2cN67z79qjrMFj+fborrdIU076nQNrTI+uNCDGYS\n2mJAMBQeAyDmupQI1wS86VNR3G70B78KHmt97253xJJcUwlAc+qkcy6Z2soSpTL96jqqT5r5ao/t\nrOf4ZJ62EAIJbTEA1FSbGVH7FX50MCW8FcR6k//UUqeGfXvOWh5z4jgA9Snh1/WaUzuV5W88exd5\n2+Iq0tIWYjCT0Bb93pdb4plKARWxqe32po4U36SLgM43FYk5cRyv2UJTfMdR6J0ZP7mR5JQWvtgS\nS1Njx3+Wwe5xCW0hBjUJbdHvNeVXEU0DzksujXRVAPBNvhjopKWtqkSXF1M/ZCRdefmuKHD1dU68\nHh07Pu04et0no8eFEEhoi37u6FEDE8oCI7WrL0mPcG0CtMRE1MQkDPs6trQdJ0sxNrupGTWuy/e9\nKqsGRaedtYtcBqIJIUBCW/Rz69fbuIZ8AComTY1wbdr4Jl+M/vhRFFf7pRoTjgYGpznHTOzyPeMS\nvFx0aQNHvrJxstzersx7anEVo7vxbJcKIQYJCW3Rb2kavLvOzI28jys2ibphoyNdpSDf5MkA6A/s\nb3c8/mhg687qMd1buvfq6wILx+zc0n4QmzcqMKrc1CShLcRgJqEt+q19+3SkHfmARKo5duXMLr0j\n7mmnr0vudFZTP3IUAC3bt7ZbQKW1pd3d0J56eR1Wu4+CrSPx+9u+X7/RhN9gwNjU89uRCiEGjpDL\nmAoRKWtX+1lMYDnc/bNujWhdzlyXPMUTwzyg7KPtvGUciT0mEUc0JBQdwB0dhzs2sVt/j9GkMeNr\ntXz4biIH9yYypHU7bkXBY3VgktAWYlCTlrbodwy7d2H7xSP8dPl0LmMHu6/8RrfeEfe01nXJ7Y5Y\nWiYGBsUNKS8JLqBiq67AUXWCionp59UrcM11gTnbOz4d3u64x2rH5JbQFmIwk5a26FdM771D9N13\noPj9DCGKDSPvYt/C+URFumJn8EbZqE8eTtzxg8FjQ/YXAOc/YG7UWDdDhtWzf3cSroZK7A4/EAht\na23Ved1bCDGwSUtbRFzrhhs1pSVYF92PZjTyXNZK4qhh1/2L8RlNka7iWdWMGo+1zom1IbBFaMq+\nwNS08skZ53VfRYGMK47j9+vY+nHbnG2v1Y6x2Y3i953X/YUQA5eEtoi41g03ynOew3iygq03zOGJ\ngrnobTqqWraG3HAjUpyn5mInlwWWLR22eys+k4WqsZPP+97pl5ei06l8dtrOXx5rYBqYyS0LrAgx\nWEloi37BanNwyafv4zOaeHfqv1NfaybjigbssWffQKM/cI4OjBBPKT5EfHkxcSVHKJl6FWoP9AzY\no1tIu7iKY4etlByzAOCxBp6FWeZqCzFoSWiLfiGx5AhxJUconpbJp7sCc5SnX1kb4VqdW/lF0wBI\n3b+LtF2fAXB0xsweu/+0KwPbkX72YRwAHmtgwJtZRpALMWhJaIt+YdwXnwBw+Job2fFZLBarn0mX\n9u9waopPpip1EuP2F3Dt2pfxG4wcv+zaHrv/pEtOYrP7+PyjOPz+07vHpaUtxGAloS36hRH7dwGw\nxZGFs8pE+mV1GI1ahGsV2t7ZtwGgV/3sv+EWWhwdN/voLoNRY0ZmLfW1RvYUOIKhbZZ32kIMWjLl\nS0Sex8PQw3uoHjWB/F1jAJh2ZV1k6xSmA9f/C80nS7E1NnJgwQM9fv+rZzrZ9E4in26KZ256a0u7\nf/dACCF6j4S2iDjLnkKMnhbKL5rGji0xmC1+Lp7aEPrC/kBR2DrzO+j1ZhLNPT+bfNRYN8NGuvly\nWzQNGdEAmGX9cSEGLekeFxFn3b4VgMKkK6ksN3PJ9HpM5v7fNd4XFAWunlmDz6ej8MgQQN5pCzGY\nSWiLiIvavg2Adc7rgIHTNd5XZlxbg06n8fnuEYBM+RJiMJPQFpHl9xP1xTZqhgwnryANo0llSsYA\n6RrvI7FxPi7OaGBvaWD3EEujPB8hBisJbRFR+r170Dc0cGjENMpLLUzJqMcSpUa6Wv3OVVlOqkkA\nwOKqj3BthBCRIqEtIsq0JR+AzdrXAZh2lXSNn036ZfW02AKLq1hc8oyEGKxChramaSxevJjs7GwW\nLFhAcXFxu/KNGzcyZ84csrOzWb16NQA+n49FixaRnZ3N/PnzKSoq6p3aiwHP+NmnAKw+8Q0MBpVL\np0sr8myMJo3pmS6cxKGrkilfQgxWIUM7Ly8Pj8dDbm4uixYtIicnJ1jm8/l46qmnWLFiBStXrmTV\nqlU4nU42b96Mqqrk5uZy33338eyzz/bqNyEGKE3DuCUfd+JQtp64mIvSG4iyStd4Z1q7yE318k5b\niMEqZGjv2LGDzMxMANLT0yksLAyWHT58mNGjR2O32zEajUyfPp1t27YxZswY/H4/mqbR0NCA0Wjs\nve9ADFj6rw6gq6piX8LVgCJd4yGMGe+m3hRHjLeGulol0tURQkRAyMVVXC4XDoej7QKDAVVV0el0\nHcpsNhsNDQ3YbDZKSkqYPXs2tbW1LF++PKzKJCU5Qp8kLpzn9MpHAPyz6Zvo9CpXf70Zm83c7pSo\nKBN6g7HD8XDKgC5ddz5/V1+VKUNiMBV7+WyDiRm/6LmfgwvmZ6qXyXMKnzyr3hEytO12O42NbfNC\nWwO7tczlanu/1tjYSHR0NCtWrCAzM5MHH3yQiooKFixYwFtvvYXJdO4tCysrpdsvlKQkxwXznGLe\nXIcJeLH4W0yYUgs6N41nTEF2uz3o9QqNjR331A5VZneYunTd+fxdfVVmGmGFYnjv73Xc8WN7h+u6\n40L6mepN8pzCJ88qPN35YBOye3zatGls3rwZgIKCAtLS0oJl48aN49ixY9TX1+PxeNi+fTtTp04l\nOjoauz3wC8XhcODz+VBVeVcp2ii1NRg//5SyoRlUkEL65ZWRrtKAoCUEljI9ud/FV1/J5A8hBpuQ\nLe1Zs2aRn59PdnY2ADk5Oaxbtw63283cuXN59NFHWbhwIZqmMWfOHJKTk7n77rt57LHHuPPOO4Mj\nyS0WS69/M2LgsPx9JYrHwxrdbeh0GlMyqgFbpKvV7zVHB3YRS6CaVasMPPGEJ8I1EkL0pZChrSgK\nS5cubXcsNTU1+OesrCyysrLalVutVn7/+9/3TA3FBUFVVWprawCw7N5F/O+ewmeLZmnpj8iY7sLm\n8CChHVrzqa0/R1pOsnq1kcce86DXR7hSQog+I/1rok/U1tawJm83u15ey9D52eiaGvn91CdxkkDi\nyH20NHd8rys6anHEAJA5uYzych2bN0tiCzGYSGiLPuMwmbnpxd+g9/vI+9kzvOi8B0XRSJ9RE+mq\nDRhNsYkAXD6qBIBVq2Q6pRCDiYS26DPjd3yMvbqCPTfdwa60Gzm038a4SY04oqWVHa7GhGQAhmul\njB/v5513DNTJ9HYhBg0JbdFn0rZ9CMD+G25h5+cxaJrCdNmGs0ua4gKhbagoJzvbR3OzwptvSmtb\niMFCQlv0DZ+PkXu/oC5lJHXDx/DFlsC72QwJ7S5RjUYao+Mwlp9g7lwvOp1Gbq6EthCDhYS26BPm\nQ19hbm7ixJTLcDXo+WqPnTETGolP9Ea6agOOKy4JQ0U5Q1NUrr3Wz/bteg4dkmVNhRgMJLRFn7AU\n7gagctzFFGyNQVUVpkkru1tc8UnomptRamvIzg586HntNWltCzEYSGiLPmHeE9hopmrs5GDXuIR2\n9zTEJQGgKyvjm9/04XBovPaaEb8/whUTQvQ6CW3RJyx7duPXGyhNnMi+L+2MGOMmOUVW8+oOV3wg\ntPUnSomKgu99z0tZmY6PP5Y520Jc6CS0Re/zejHv30fViLEUfJmI36dj2pW1ka7VgFWfmAKAvugI\nALffHugilwFpQlz4JLRFr9Pv34fO4+HkmDTpGu8B1cPHAKDfvx+Ayy9XGTtW5Z13DNTXR7BiQohe\nJ6Etep1x104ASkZMonBnNCnDmxk2UhZU6a6alJFoej2G/XsBUBTIzvbidiusXSutbSEuZBLaotcZ\ndhUAsMVzOV6PTlrZ58lvNOEZk4p+/z7QNADmzvWiKBq5uSH3ABJCDGAS2qLXGXZ9gWY08u7RqwDp\nGu8JLRPS0DXUoztRBsDw4RqZmX62bjVw5IjM2RbiQiWhLXqXy4Vh95c0TZ7Crt1DSUxuYWSqO9K1\nGvBaJk4CwLDzi+AxmbMtxIVPQlv0KuO2z1H8fg6kXENLs4FpV9ahSEPwvLlnXAmA6eMPg8duusmH\n3a6xapURVY1QxYQQvUpCW/Qq42f5ALzdMBOAaVdJ13hPcF86FdVmx/jRh8FjVmtgznZpqczZFuJC\nJaEtepVp0wdoej0v7plJTFwLY8Y3RbpKFwajEe/V12A4dBBdSXHw8O23+wD4v/+TLnIhLkQS2qLH\nqKqK01kd/M+94V2Mu3ZSfPFMSurjuGR6JTr5iesxnutvBMD03jvBYzNm+Jk0yc+6dQYqK+U9hBAX\nGvkVKnpMbW0Na/J2s37LMTZ8uI/oB/8dTVH4tf6nAEy6pCzCNbyweL7xTQDM760PHlMU+P73vXi9\nCq++Kq1tIS40EtqiR1nt0dgdsVz3xl+JPVnGrpsX8OqRm7A5WhgzvibS1bugqMNH4L0kHWP+xygN\nbUuhzZ3rxWrVeOUVGZAmxIVGQlv0uJiyY0x+fw01I8aSm/4zGuqMTL70hHSN9wLP7JtQvF5MG/OC\nx6Kj4ZZbvBw/ruPDD2VAmhAXEvk1KnrchE1vomgaX9z2Y7btSAbg4qknIlyrC4eqqtTU1OB0VlM1\n44rAsbz3g2MJVFXl+98PzNlesUK6yIW4kEhoix43evtH+EwWjk67li+2xGC1+0hNq4p0tS4Y7qYG\n3s4/xPotx/hnnR2vyYLvk09Zv+UYa/J2U1tbQ3q6SkaGn/ffN1BaKgPShLhQSGiLHmV0NxFXfJiT\nEy7m4PEEap0m0i+rR6/XIl21C4rVFhg7YI1LpDLtEhJLjxKv6LDao4PnfP/7HlRV4W9/k9a2EBcK\nCW3Ro5KPH0LRNKrGXsT2T2MBuOxq2Tu7N5VPygBgyIFd7Y5/97s+oqM1/vY3I15vJGomhOhpIUNb\n0zQWL15MdnY2CxYsoLi4uF35xo0bmTNnDtnZ2axevTp4/MUXXyQ7O5tbb72Vf/zjHz1fc9EvJR89\nAEBl6mR2fBroGp98qSvCtbqwVU6YAkBi0f52x202uP12LxUVOt59V3b/EuJCEDK08/Ly8Hg85Obm\nsmjRInJycoJlPp+Pp556ihUrVrBy5UpWrVqF0+lk69at7Ny5k9zcXFauXMmJEzIIabAYcvQrAL7Q\nT6fWaSJjRh0Go3SN96bq0RMAiD/17E/XOiDtpZeki1yIC0HIj987duwgMzMTgPT0dAoLC4Nlhw8f\nZvTo0djtdgAuu+wytm7dyt69e0lLS+O+++6jsbGRn//8571UfdHfJJQW4TVbeG9/OgCXXS1rjfe2\nxsQUWqx24o8d7FCWlqaSleXjww8N7N6t45JLZOK2EANZyJa2y+XC4XAEvzYYDKinVmw4s8xqteJy\nuaipqaGwsJDnnnuOJUuWsGjRol6ouuh3NI3Yk6XUDxnJ9i3x2Ow+Jl7SEOlaXfgUBefoNKLLj6P3\ntHQo/vGPPQD8+c+mvq6ZEKKHhWxp2+12Ghsbg1+rqoru1CoZdrsdl6vtfWVjYyPR0dHExsYybtw4\nDAYDqampmM1mnE4n8fHx5/y7kpIc5ywXAf31OemrSzE1u6mIHkvdcSNZs2uJiTEDEBVlQm8wYrOZ\nO1zXW2VAl66LRB17qqxh/CSG7vuC4dUlJCZOJyGh7Wfktttg8WJ4/XUjv/+9kSFDOtyy3/5M9Tfy\nnMInz6p3hAztadOmsWnTJmbPnk1BQQFpaWnBsnHjxnHs2DHq6+uxWCxs376de+65B5PJxMqVK7n7\n7rupqKigubmZuLi4kJWprJRWWShJSY5++5yadu4hHvjSNR6AqTOqaWwMtPzcbg96vRL8+nS9VWZ3\nmLp0XSTq2FNlJ1PGkAZYiw5TVdWAqrZvVS9caOSRRyw880wLP/uZp11Zf/6Z6k/kOYVPnlV4uvPB\nJmRoz5o1i/z8fLKzswHIyclh3bp1uN1u5s6dy6OPPsrChQvRNI05c+aQnJxMcnIy27dvZ86cOcHR\n54oiCzxc6EzFxwD4vGIy9mgfE6fIqPG+UjdsNABx5SVnLb/tNi85OWZWrDBy//0ezB0b8EKIASBk\naCuKwtKlS9sdS01NDf45KyuLrKysDtc99NBD5187MaAYjwVCe7d7ItMya9HLstd9pm74GADiyovP\nWm63w513elm2zMQ//2kI7rsthBhYZHEV0WNaW9qHGSejxvtYY1wSXrOl09AGuOceDzqdxvLlJjSZ\nhSfEgCShLXqM4fhxvBiojU4h7SLpGu9TOh31Q0cFusc7SeSRIzW+9S0fhYV6PvlEukGEGIgktEWP\n0R0+RhGpTL26EZ1kQp+rGzoao6cZw8mKTs/56U8Dg9D+8AeZ/iXEQCShLXqE0lCPxeXkMOOYLmuN\nR0TtqffapqIjnZ6TkaGSmenjo48MFBTIP38hBhr5Vyt6hP/gUQBKTKOZMKnx3CeLXlE3NDCC3Hi0\n6Jzn3X9/oLX9xz9Ka1uIgUZCW/SIvW8dB8Cbmixd4xHSOu3LVHTu0L72Wj9Tp/pZt87AoUMyFVOI\ngURCW/SIY5sCI8ctGTERrsngFQztEC1tRYF/+zcPmqbw/PPS2hZiIJHQFuetoQE8B44CYLjo3EvV\nit7jsUfT5IjFdLTzd9qtvvUtH+PH+3ntNSMlZ1+PRQjRD0loi/P29tsGRvsDrbv65JQI12Zwq0kZ\ngbGkGDyec56n0wXebXu9CqfttiuE6OcktMV5W7PGyFiO0BKbiNdijXR1BrWalFEofj/6EF3kAHPm\n+BgzRuXPf4aSEnm3LcRAIKEtzktFhcKnH0OqchR19MhIV2fQcw4bBYD+4FchzzUY4KGHWvB64dln\n5d22EAOBhLY4L2+8YWC4VoJB8+EdOSrS1Rn0nEMD/w8MBw+Edf6tt/qYOBFefdXI0aPS2haiv5PQ\nFufl9deNTNAdBsAzSkI70pynRpDrvwovtPV6WLIEfD6FZ5+Vrb+E6O8ktEW3HT6sUFCgZ3baIQC8\nIyS0I60+MQXVZEJ/KHT3eKu5c2HSJD+vvWbgyBFpbQvRn0loi25bs8YIwPXD9wHgHTMmgrURAJpO\nj3dMKvqDBzvdOORMej387Gce/H6FX/9aWttC9GcS2qJbVBVWrzZitWqk+fYC0DJuQoRrJQBaxo5D\n1+hCV1Ya9jXf/raP6dP9vPWWkc8/lyXthOivJLRFt3z2mZ7jx3XcfLMP8+H9+IekoMbIamj9gWfs\neCC8EeStFAWWLm0GYMkSs+y3LUQ/JaEtuuXVVwNd43d9z4m+pBj/xMkRrpFo5Rkf6PEw7N/bpetm\nzFD5zne87NihZ+1aQ29UTQhxniS0RZe5XLBunYHRo1WujAkEg2/SpAjXSrRqvuhiAAy7Crp87eOP\nt2A0avznf5ppaenpmgkhzpeEtuiytWsNNDUp3H67F9Pe3QD4J10U4VqJVt5Ro1GjYzDs2tnla1NT\nNRYu9HL8uI4XX5QFV4TobyS0RZe9+qoRRdG4/XYvxq1bAPBeNiPCtRJBOh2+S9MxHDqI0lDf5csX\nLWohIUHlmWdMlJbKFDAh+hMJbdElR44ofP65ga99zc/IkRrGrVtQY2Lxp02MdNUEoKoqNTU1uCYG\nXle4P/oQp7M6+J+qqiHvERsLv/xlC01NCk88IVPAhOhPJLRFWKKW/ZGYW75N0RN/ByA724ty8iT6\no0V4L7s8sG2UiDh3UwNv5x9ic/RYACpeW8f6LcdYv+UYa/J2U1tbE9Z9br/dx4wZPtatM7Jxo0wB\nE6K/kN+0IiTTu+uxL3kc0ycfkb3hXn5sfomrrz6J961/AlCfnoHTWU1NTQ2azBWKOKstmprLs/CZ\nLIzbvRW7Ixa7IxarPTrse+h08PTTLej1Go88YsHt7sUKCyHCJqEtzq2pCfvjP0czGPjkP17FSRzP\neX7Cnjffw7diJQDrki9l/ZZjvLV5Ly3NMuS4P/CbLZReegVxJUeIKQls02mtc6Lrwjvuiy9W+dGP\nvBw9quO3v5VuciH6Awlt0YGqqsF3oLqcJ9EXH8f5gx/y5O6buZO/Y9I8zHvyPkYe2EXx1KvxTZiC\n3RFLlN0R6aqL0xzM+jYAmX/6T2747SL+9d9vZezMr2HYuSPsezz8cAtjxqi88IKR7ds7+XXR0oLj\nxz8gYexwbE88GvbyqUKIrgsZ2pqmsXjxYrKzs1mwYAHFxcXtyjdu3MicOXPIzs5m9erV7cqqq6vJ\nysqiqKioZ2stelVtbQ1r8nbz2esfEfu/L1Ifn8yfxs3lgw+s7Bx6Be/e/v9QDQbqUkaS/6PHIl1d\n0YmjM66j9JIZDN33Bamff0B9fDJ6VwOO/7g/7GC12eD3v29GVRUeeMBCc3PHc6z//TSWN/6BztWA\ndfnzWFau6NlvRAgRFDK08/Ly8Hg85ObmsmjRInJycoJlPp+Pp556ihUrVrBy5UpWrVqF0+kMli1e\nvBiLxdJ7tRe9xmpzMOvV59H7fWz54SNs2zUZVVWYcW0xO7NuZsXf8nntj2/SkDIi0lUVndD0et57\n7I/kLfota3/1V176XS71N30bw57dGLZ+HvZ9rr7azz33eDh4UM9vf3vG3O2mJqJe+l/UpGSqt+xE\ns1qx/v534Pf38HcjhIAwQnvHjh1kZmYCkJ6eTmFhYbDs8OHDjB49GrvdjtFoZPr06Wzbtg2Ap59+\nmnnz5pGcnNxLVRe9Ke3zjQzfvZXj0zMpmj6TjzckYLb4ufSywCYUmt4gI8YHAL/JTNHVN1IxOQMU\nhbpb5gJgef21Lt3n8cdbGD1a5fnnTXz8cdtoctPrq9HV1eKccxtVsbHUfetm9CXFNL+9NuwpZkKI\n8IX8retyuXA42t5VGgyG4D/EM8tsNhsNDQ288cYbJCQkcM0118ho4gFIcbv5eu4yfCYzny58mD27\nonFWmZjxtVosUb5IV0+ch6Yrr0ZNTMK89g3whf//0m6HP/3JjV4P991noaoqsOiKbt2bALw59prA\n1LLJWQA0/vnlLk0xE0KEJ+SuAHa7ncbGxuDXqqqiO9XCstvtuFyuYFljYyPR0dGsXBkYVZyfn8/+\n/ft5+OGHeeGFF0hISDjn35WUJAOZwtHbzynqlfXYa6vZc9uPUMeNI39lEgDf+G49ligTeoMRm63j\naOKoflYGdOm6/lb/ni5T/SYSU+LQ3X4bPP88SXu/gOuvB8L7mZo9G371K3jkEYWf/czOW2/40LZ9\nTl3KCKIumUoUwJBkXMnDGLtnO0kJsSQmOkhIuHD+XcvvqPDJs+odIUN72rRpbNq0idmzZ1NQUEBa\nWlqwbNy4cRw7doz6+nosFgvbtm3jnnvu4cYbbwyec9ddd/Hkk0+GDGyAysqGbn4bg0dSkqN3n5Om\nEf2n5fj1BnbeeBtlx1V2brUzelwTycPqqTjhQa9XaGzsOLXL7e5fZXaHqUvX9bf693SZy9XMwYPH\naZzxNUY9/zy1//tXKkaMIzHRQVVVA7GxccEP5J25+254550o3n7bwF9+ks8PGxo4Nj2r3d93POMa\nLnpvNTG7C6jKGImqXhhrmPf6v70LiDyr8HTng03I0J41axb5+flkZ2cDkJOTw7p163C73cydO5dH\nH32UhQsXomkac+fO7fAOW1Fk7eKBRH/4EOZDBzk4/VrccUl89GoCmqpw7Y3Vka6aOE+B1dKqSIhP\n5l8dsRjXr+edGxcSZY+i6mQVc264hPj4c3+41ung+eebuf56KwdfCqw7Xzw5o905xdMyuei91Yz5\ncitwc299O0IMSiFDW1EUli5d2u5Yampq8M9ZWVlkZWV1ev0rr7zS/dqJPmf64H0AitKvxOtR+Oj9\neKx2HzMy5d3khcBqi8YWk8Cxq25g8vtrmHD0IA2XX8XVq3/DhJ99gGf2TTQ89ycwd76YSnKyxl//\n6qbu27tAgwPRl3J6e+HExdNRdTqGf/UljZ3eRQjRHTL8V7RjyguE9tFLZrDtk1ga6o1k3uDEbJYB\nhReSr7ICLeArVj7LzMd+yCWb16F4PFje+AfW//l9yOsvu0xlVnIB9Tj43d9m0exu+1XijbLhHD2B\nlKL94PH02vcgxGAkoS3a+P0Ytm+jZfwEXLGJfLA+CUWnkTW7KtI1Ez3s5MR0iq64nsSiAwzZvY1D\n077G4c2focbFEfWXF8HrPfcN3G7iTx7gRNLFnCiN5oXfjsHnbXsVVjFxKgavB8vePb38nQgxuEho\ni7guZlIAACAASURBVCD94UPoGl00T7mUoq9iKC6KImNGHQlJIX6BiwFp0wO/5tOFP2fLf/yat376\nJP7EJJrn3I6uqhLThvfOea3hwD4UVSXxhglcnFHFvi8drHh+JK3TsismTQUg6ovtvf1tCDGoSGiL\nIMOunQA0XzyFjzYMB+D6b0kr+0LlN1vY8607OHLjLcGFcpqz5wNg/ueac15r2BNYZMk7eTJ33buP\nsRMb2fpxHGteHoamQXlraHdhnXMhRGgS2iKoNbSLh0xl945ERqY2MX6yDCUaTPxTLsE/bDimzZvO\nuRSpofBLAFomX4TJrPLTR4tIGd5M3rok3vjbUFyJQ2mITwqEtiywJESPkdAWQcaCnWh6Pf+77Qo0\nTeH6m6qQGXuDjKLgmXk9upqa4Ie4s9HvKUTT6WiZMBEAu8PP/2/vvuNrvv4Hjr/u3lkyEQkhhNiz\n9p41i1qlaOng66tFW74tilKqyyqlg9qqVUWsGBWjMRJiCxIjCSHr3ow7f3+kUoqG/sq9kfN8PD4P\nyT33fO77fNx83vec+/mc89akePxK5hLxsy8/LfcnuWwY8tRUpNevPa3oBeGZJ5K2kM9mQx53HHP5\nSiz70Q83jzzqNkl3dlSCE5hb5M+Spty188FPcDiQn4zDVr4CjrsWBPLwsvL25D8S909+RGY2AkB+\n7OgTj1kQiguRtAUAZOfPIcnOJk5Vm+xsKU3bXkWhEMOaxZGlaXMcUulDk7Y0MQFpVibWKuH3ld1J\n3AGlc1l9vjUAksOP97323eu5P2gTi5AIxVmhk6sIxYM8Jr83tCa+LgaDnYYtkgAxd3BxYbfbSUv7\ncwIdXbUaqI9Ek37pInZ393umOL1zEZq1SrUH7svDy8q4qRf4ZnJ5uATnl8fg9l/w8Hi0WO6s567V\nu91Xlm3MfKSZ2wThWSV62sXUX3sztt/zp6TcbapL9+43UKnFal7FSf4UpxfyV+o6mMDRcjWQ2Gyc\n+/bH+1brunMRmjW86kP3pzPY6P9eAonaCpTPOELb1hpOnnz0041OoyX4xnU85Er0Bo+C7UGJXBCK\nE5G0i6k7vZk7J+nsA4exIOeULByPwCjycu9fcEJ4tml1bgXJMeW5/EV/Qk8dRa3Vk5aWVvABz3Ek\nGoDUUqVJS0t76PK7SqUdt1ZVcCcTZWI8nTpp+emnwgf3JHl59JrxX7qP60ev/3TDkHzl32ukIBRx\nImkXY1p9/knaoNXjc/kCcYRTu1UOPgEKZ4cmONmtshUxefkQeCyKXGP6n73wA5eRHj5MZgk/NsZn\ns3HPqb/9gJdXNX8I/etXo5BKYfhwDW+/rcK6JRKPVk0wvPEq3LW8L4DXogWUOh9HRkAZ9Ldv0PHD\n11FliYsiBQFE0hYA94SLKG15HKE2bbredHY4giuQSEis1QR1VjqlL54p6IWXNGWhzcrgRqWa6A0e\naPR/f91DbtXqANQhmq1bs6lc2camZVnoXh6E4kQs6nWrMYwf++fL3r6F53dLMLl5sn7WKo698Apu\nKVfpMOUN3JISn2iTBaEoEElbwLjtMgBpoWH4+osFHoR8Fxu1A6DGgR0Fj/mezf8++0bFB1+E9ld5\nYZVxyOUojh6hQgU7W7dm83Xjb3BzZPA/yRQSvGuiXrUcZcRmALRffobMZCS6Uz+sGi2H+7zB2RZd\n8Ik/xYsjujDgf0PwnTIR1arlqH/4HvWShUgTE/7llguC6xJJu5iz2YCoeABKdCvj3GAEl3I9vC4Z\n/oFUProPjTEDgJIn87/PTqlYvdD6drud2zk55IVWRBZ3nNspyZiMqXRKWoRNrmRjwFA6pi4jDyWy\nEaPI2bIJ9ddfkecfQGyLLvk7kUrZ++Zkdo6ewdXqDfC4cQ3P5Utx+8/rGN4aieG9sXg0e46cbVvE\n7WBCsSCSdjH3+2+eVM4+hkWiwFEr2NnhCK5EKuVkx74oLGaa/PoDMnMeQdF7MHn6kFourNDqd65I\nP+sXgjQvj6OrtxPzwyZU8ReIq1KLjiP3E9hdxyTpZPSZKZQZ1BepxcyPrXqRbbvr4jaJhIuN27Pl\ng6+YNXM5X7/5ITsGvUXEq+PZ2/s1yM3F75XB7P3ul3uucheEZ5G4T7sYs1klbF/jznxiSQ0Mxa5Q\nOjskwcWcbtuL0E3Lqbl3E74Zt1BnpRPbdVDBAiOF0ercuFGnGez6hYpnYtGnJgFwomkn3Dz0vDAg\ng5utuvDJx3ZqXIlkJX3ZF9OJdsEX8fa9f392uYLU8Hrg61/wmDmwHK1nj6PvV1NIrVsOmjT7V9ou\nCK5I9LSLscP7/SibEouaPFKrFj7cKRQ/doWCDQNHY1GpCYzZj8nLh+NdBz3WPq5Vb4BFraHWukWE\n7t5Ihn8glyv8OZuaT4AF9887seOjBeyr8iLnTvozZ1pD5n4UzPlTukLXG7nUsC0HBo9Bn55KUO9u\n6N5/r/D1wAWhiBI97WIqN1fCtg1BjJSuBjskV6nj7JAEF5UUVIGv319I5RuJXK/WgFx3r8eqb9Ho\nONuyG+GbVwJwrOerD+yph1TM5u3J8URFZrM7ohLHj3hy/Ig75UJNtO58kxp1Mx/6GnHPD+B6CT86\nr52HduE8JHm5GGd+9ngNFYQiQCTtYmrZMgNpt9R0894OqZAUVtPZIQkuLMvLh/hKD58BrTC/D/gP\neQZ3TF5+nG/eGZIffPuWRAIVKt+kUtVM0m+XY+vPvsRGu7Notg6Du4Ua9TTUb5L0wKHzxPC6XO77\nK+UG9Ebz3RJyBg7B9jeztglCUSSSdjGUmiph4UIPPHQmwjMPc7tMefLcPJ0dlvAMs6k0HO392mPV\nKV8pm/LvXibpqoq920twYLcnv22vwG/bKxBWLYsGzdKoUS8DjfbPK8YdOh2m8RNxf+lFNMu+xfjx\np/92UwTBqcR32sXQ7NlKjEYprzfciMKcS5IYGhdcWEDpPF4cfJ2Zi07xwsCjBIWkcfq4gW/nlGHM\n0Cos/CSIY4fcsJjzF383t2qDzT8A1Y9rISfnofuV3LqF28A+lAgtg+G1IUiyHj78/iiUm3/FvXsn\n1EsW/b/2Iwh/R/S0i5kLFyR8/72CoCALz6u2AHC9aj0nRyUIhVOqHNSod5Xaz93EZi1D9D5PDv3m\nwZED+ZtaU5pdzbLo2NFCrw7d8P92AeYN6zG2bQ9wz0plZGfj0aMT8tOnsHt5oV6/DonRSOay1flj\n9I9JduY0bq8OQmKxoIz6DVu5ECx/rEsuCP8m0dMuRhwOmDBBjdUqYcyYNEJOHMAml3OtWn1nhyYI\nj8WvpJnne6fw4Zdn+d+sc7TtcgOlykpEhBf/+Y8vXZYNBuDSF5tYs+36fSuVab/8FPnpU+S89DK3\n4i5gbtIM1bYIlJt//UfxaL/8FInFguntd/J//2ru/7+RgvAAoqddjPz6q5xdu+Q0b26lfbVL+CWc\n52r1Blg0OmeHJgj/iEQCZcrlUKZcDo3bHCT5mg+Xz5cj5lAVLl0Npmr8XlqPWkup0Fyyrtjp3l1C\neUk82nlfYAsoiXHyRyCXY5wxG89mDdB9PBVzx+dBIsFut9+T6KV5GVhXrMHq44uxQUNAglQqQXbj\nBt4b1pMXUp6rrwynzPYI1Ht2IUlJweHn57yDIzyTRE+7mDAa4f33VSiVDmbMyEW/dxcAibWaODky\nQfh3SCRQOiiTbv2SmfTFeVJaNMOdTPqX2sylc+58/LEXDRroiWkxAUleHgd7vs/NnDzsdju2CqHk\ndemO/MxpFLsjgXuXr90SFU9u+64EvPM2gUNeInH0e6zYfJjNBxNInT0ficXCvkad2Xwokb0V6yOx\n21Fv+NHJR0R4FhWatB0OBxMnTqRPnz4MHDiQK1fuXds2MjKSnj170qdPH9auXQuA1Wpl3Lhx9O/f\nn969exMZGflkohce2aefKrl+Xcqbb5opV86Bfsc2AK7UFklbeDaltG4BwLjQZYybto3ne0fzerkV\ntMrexC6a03jOcOrVD+CNN6Rs3izn9qA3AdAunFewjzvL19Y5GEmpk0e5Hl4Xo7c/bbato9LVS3hK\nZdTY+RO5encS2/VGb/Ag4Y+FVpRbI55+o4VnXqHD4zt27MBsNrNq1SpiY2OZPn068+fPB/KT84wZ\nM1i/fj0qlYq+ffvSqlUrdu/ejaenJzNnziQjI4Nu3brRsmXLJ94Y4cFOnpTy1VdKAgPtjBplRpqS\njG7fXpLLViQzQCwSIjybboRWw+TlQ9Dvu3Dv3J8mjc0M3/sudqmMA0PG0eTybWKi9axfb2D9elCp\nmhLt0ZiqkTtI23cGKvsAILFaqP7Tt1hVaiJHz0B/4zqdJ7xMl28/Jvnoc6iNmUT3G4FVrQHA5FGC\nnPBqqA/sQ5KZgcPN3ZmHQXjGFNrTPnLkCE2a5PfGqlevTlxcXEFZfHw8QUFB6PV6FAoFtWvXJjo6\nmg4dOjBq1Cggf6UfuVx8de4sFguMGqXGaoWZH+eg1YJq9QokNhunGrV3dniC8ORIpZxv1hm1MYNa\nUVtpuX4x7slXONmxLz4dSvLS61d5f/Z+Fi8+y2uvpRMUZOH99LcB2NtjId27+7BtQxlKrN+OITWJ\n+Pa9yPEowc3QquzqMgBDxm0q7N2E0dufkx373vPSphatkFitBUPtgvBvKTSbGo1GDIY/F7qXy+XY\n7XakUul9ZTqdjqysLDQaTUHdUaNGMXr06CcQuvAo5s5VEnZ8LfsVr6EeayC330toFn+FTW/gzHOt\nUTg7QEF4guKe70/Y1jW0W7cYgLTS5Yju92ZBeV5uFpdzjxPawJfQBnA7xZfrU4MZaFzGB2c+5MLp\nUnzJN5hRMCV7LD6xWkIrmzjYqjvZHr4E3U7hdLve913MaWzeEu85n6HaugVzl+5Ptc3Cs63QpK3X\n6zGZTAW/30nYd8qMRmNBmclkws3NDYCkpCRGjBjBgAED6Nix4yMF4+NjKPxJwiMfp7g4+GFWEud4\nGZUUJGkWdLOmA2D85BNkPiXQ6VT31dNolMjkiiJfBjxWPVeLX5T9C2W6kvw2aR5V500hV+9OzNgZ\nqL087qmjN+jx/eMqbz9/uPryIErOmcy2Oi8Rq6xDhf0XWCB/k+Xbq8J20GhtVKziw9na5Wn6kgKd\nwc7dKdtuU2Jo2gBKlUIduR21lxZksvzC9HQ4fx6qVwfls72qnjifPxmFJu1atWqxa9cu2rdvT0xM\nDKGhoQVlISEhJCQkkJmZiVqtJjo6mqFDh5KamsrQoUP54IMPaNCgwSMHc/Nm1j9rRTHi42N4pONk\nNkP//lpes85BTR5ZUz4j7/muqH75CVv5CqSEVyX7YAJSWd59dXNyzMhkEkymol2mNygfq56rxf+0\nynQ6lcvE8iTKLoVU5+DY2chkKrwNPnBX+YPqHG/SmaCtPxF+OJJwIsnTGVB//gLjbyVy6DcNMdFu\nxEQHEBMdwIpFDipUNlK9biY16mbi7WcmO9tM6i0j2lbt0Cz9hvRfIrA0bopyewSG4UORGrOwlgsh\nY+0G7IHP5jUlj3qeKu7+yQebQpN2mzZtiIqKok+fPgBMnz6dX3/9lZycHHr16sV7773HkCFDcDgc\n9OrVC19fX6ZNm0ZmZibz589n3rx5SCQSFi9ejPIZ/2TpSqZOVXHquJ2RykXYDSXIfbEfaDTkDnk1\n/wm3bzk3QEFwUQ6ZnJ1vfUy9Lyegyc7m8LD3sHp5USUwm+AKafQefJ0TR29zLq4U50+X4mycgbNx\nBtZ8W4rg8tlUrZ1E9UAZfj17o1n6DZpF85Hk5uA2eADI5GS1aYdh+1YMPZ4nYc3P2N3zL1RTXIzH\n++hhrC1aY6sQWkiUQnFVaNKWSCRMnjz5nsfKli1b8HPz5s1p3rz5PeUTJkxgwoQJ/06EwmPbuVPG\nV18peankNgzXb5HW7iVu52RDTnbBc9LS0nAUtlCxIBRTJp8AVr0xMb937ut/T5lEAn4lsygZeIme\ng3LISJNz/LAbRw+6c/q4gcsXQti4GmrXCmB9mYaUidiMKmIzDrWaq/MXsdTkRluFF3U3r0T+6nA2\n/Pcjyh3bT4evpqCwmHFotaRt3omtchUntV5wZeKy7mdMSoqEkSPVKJUOJlVbAddhZ+maXDmYcM/z\nUpOvonf3xuDmpEAF4Rnh7mmlSZvbNGlzm6xMGQf3yEk4VZIjRww0sa3gewbhr0nntxem4OdVFg2p\nxL48Bv+kRMoei2LgxGF4XYnHolST1n8gnsuXop84noy1G5zdNMEFiaT9DDGb4ZVX1KSmSpn6YTaB\ncyPI0bmRXqcpetm9/9UmY4aTohSEZ5fBzUa1OhepGH6C5weU4sRRb4Yd+okLZzxw/CCBHyAoJI2G\nLUzkDp1F1yVjCTwWRUZAGTa+9j51X2yN7mI8yj27kJ09g61iJWc3SXAxImk/Q/73PxWHDsnp2tXC\n67X2o7iRwrnG7XHIxH+zIDxNWp0b3r46/Evl0KZzIpnp1zl60J0Du9VcvlCChHhPVktL8VX1zTQf\nfpmKjRxY7ekA5Lz6OsoDUWi+W4xx+ifObYjgcsTZ/BmxbJmC775TUqWKjc8/z0UzNX9K2XP1Wjg5\nMkEQ3DysNG9/i7DqCZiMBi6eDeX33zw5ecyNk8eqofjWTnjNVNTZDrp07IjBxxfV+rUYJ00D1f23\ntwnFl1gw5Bmwb5+Md99V4eVl5/vvc9CprKg2rMfqVYKEKrWdHZ4gCHdxczfT+vlUxn98nilzTtP5\nxWQ8S1g4dsiXN97wo2pNDyJ8+iNNS0OxZbOzwxVcjOhpF0HSy5fQfP8NDjc3jtUZzMBBwUgksGRJ\nLmXKOFCtWo00NZWMl14WQ+OC4ML8Sprp3DuF53ulcCrWQsr5Muzc6cWYU6/Qkc84PHIVq3/vSseO\nWVQMycH/i1loD0RhatyU1JGjCyZo8fDwLJj0Sni2iTN6UXP8OJ4dWiK9lX+fdWXJPJo4ltF9UQsa\nNbJBdja62R/jUCq5PfgVSLQ6OWBBEAojkYC333UM7peo09aXC2c8iFtQkxZZWxm42MS3i/1Zre5L\n5dx1AKhPnyLtSBwbR3xIdraRnq2r4uVVwsmtEJ4G8dGsCLDb7dy+fYvbKclY+/VDeusW8W9+wBTP\nmWgdJjbTif5Hx6GI3I77gN7IEi6TM2QY1pKlnB26IAiPQatzw83dg1r1Ia1fJ2TY+TnsDTa69+CF\n3HXsoxH+JLFf24zyR/dRY9tWtHpx32ZxInraRUB6ehrrdpygwaFIKp48yZEGnemw7h1upmlJaFCB\nuVdGov1qLtqv5gJgbNGK62+MEBOoCEIRdq5FV6psXkm90/n3ayeUDWdZq6/xPKSj+4nVnKAq9VbN\nYcKxweQM1NOrF3h4FLJTocgTSbuI0Gl11Nn+I1aFkoEX53HzhpYOPVIIaiFlVsY06l06hdutFJLL\nhXG5aj04miwmUBGEIsyuULDlgwVU2/A9txwOotv2pk5pM3U6XCT9tpyN34xm6IHx9Dr7FW9N+IxJ\nkxy0bGmje3cLbdta0eud3QLhSRBJu4god2w/7slXWKoeyqkbgXTokUK3fsncSAZZCT8Sw6oXPPfO\n36qYQEUQirZsL18ODh5LSlICMtmft355eFlhVBuy4ucy4vZ8sgYPZc3+MLZulbN1qxyNxkHbtla6\ndbPSqpUVtdqJjRD+VeI77SKi8s/rAZiR+xbd+yfRrV8yEomTgxIEwWnsCgVHew5DYTUzIu9Tdu3K\nZt8+E2+/nUdAgIMNGxQMHqyhShU9I0eqiYyUYbH8ZSd5eXDX0suC6xNJuwg4OOcc5a8cYwsdaDbG\ngw49boiELQgC55t1IrOEHx5rViK5eZPQUDvvvGPmwAETO3eaGDEiD3d3B6tXK+jTR0vVqjreGiXn\nxGd70L75OiXCyuFdvjRuA/sivXrF2c0RHoEYHndhZjN88IGKVt98B8Cl/n1o0jpTfDAWBAEAh1zB\n4Q4v0vKHL9F8vYDs8R8A+beQVa1soWbyFj6Q7Cf9VCq3z2eRl5RJ2Mrj+JAKQIqmDJKAYHwjNiGL\nPsjVhd+SF14VEPd+uyrxP+KiLl+W0K2blh3fJNGLtST5h6DoXs3ZYQmC4GLimnbCWqIEmiWLkKSk\nACBNTMCjfUs8+/fCZ85nVNi5jPqJP9PUEoncIOOX0v1pb9hKQM4l/K7G8l/p50hv3ca/Tx8Oz/2Z\ndTtOkJ6e5uSWCQ8ietouxuGAVavkjB+vxmSSEFF2GopLVmK6vIgYExcE4a8scgVXBr9K2U9moHlt\nCJkdn8d35nRkGemktmnH3vAW2MuUJ9fgQZ7eHbtCAUCj6wlUSDrIpXMhrDk4nISrZVhp7UuvueN4\nu9Qivr3iRteuEkJCHOLU40JET9uFXL4soX9/DaNGaZBK4fsp52h79TvMQcGcrd/S2eEJguCCcrKz\n+Na3BpfD66KL+o2ACe/gMJnYNngsn7V6ibOhNUgrU54cT++ChA35fYCSgVl07ZvM5C/OUvOLMD5q\n9QN5EjVfXBuC8eMVNGyoo359HRMmqNi1S0Ze3l0v7HCgWTAXz6b1Mbw2FInomT8VoqftAvLyYN48\nJZ9/riQ3V0KTJlY+/zyXytMmILFYuPXaCDGHuCAID6UxeBA5fg6VI1ajzkzndLueGH1LoUlKeOR9\nBJTOgzcqsL39ItpNfp25xpF0LR1N3xsL+PprLV9/rUSrddC0qZUGDTLom/gpPt9MB0B+5jS2pOtc\n/fo7PLx9nlQzBURP26lsNli9Wk6jRjpmzFDh5uZg4cIc1q3Lodz57ajXr8NSqzaZXbo5O1RBEFyc\nTaXmRNdBRL80CqPvP5/C+Fa5MJZPXIAxrAptri7lSlB91s6KZtCgDHx9rUREKIiZ9Bvlv5nBNWkp\nOtc7zJHglugORHH9vQ/Fd+FPmOi+OYHNBps2yfnkEyVnzshQKh0MH57HK68kYzA4yLicQfBbI3DI\nZFx7/0PSMjPFdKSCIDw1NzRaZg98jx5bVlJ17yY6TWqNetBb1PxfY1QbdzD418/IdWjppfqJA7/X\nZh/rOEVlntu4hsmykdQfFEzFihK8vcV5698mkvZTZDTCypUKFi5UkpgoRSp10K+fmTFjzGi1qazb\ncQKtzkCn+ZNRXL/Oga6DOJihI/XsKTEdqSAIT5XSw5uDo6aRVrkWjRbP4Pn5k3BIJEgcDqxyBbve\nmcGgGkpaXj7H6eN6pv/2CV8mDKDLz/+h5c+R5KInJMRO/fpW6tWzUb++jXLlxEVt/18iaf8Ddrv9\nb4eA7r6/0eGAw4elrFyp4OefFRiNEtRqBwMHmnn9dTMhIfmfRG/fBq3ejdqHIgmN3k1yWE1O9h+J\nXiYX05EKguA0Z9u8QHLl2oRvWo7X5XPcdPPkYLs+ULMBUiAoJIegkBzoHs6pj1vx3O87SfCty3l7\nCL4Xz6CJN7F5RUe6MBWHtzd16tioUcNOjRo2qlWzi974YxJJ+x+4s+qWVu+GxG4j8NQxKh3YTskL\nJ0kuWYbs9ydwyb0ZW7bI+flnORcuyPAniXbeZ3ix8TlaBMWjM93AvjGI3F59sJcqDYDfxTM0XDKT\nPJ2ByFEfiYvPBEFwCRmlgokaNgGgYB507wc8b9vQsfh4qfGN2IQvJ7G5uWORKhmW/jU91Jt4Qbqd\niIjKRET8Wad0aTvVq9uoXj3/3/BwOz4+IpE/TJHKCnf3cCXZ2TjkclAqC8qf2gw+DgfBqUlUi1hD\nyL4ItOn5swvlKnWEpVzF3uN5DtAHE415WxpHF/12ShovQCoQce+utLOmk9GjF4rgsvSY+yUySx47\n356JySfgybdDEAThX2S05PFl60GU6zOKvEwTOQYPJA47dX9dQaP1S9ipbcrFdZv4PacqMTEyjh+X\nceyYlE2bFGza9Od+vL3tVKqUv1WseOdnG+7uzmubqyhSSTs9PY0TnyykWcQafK5exCaTcy20Kufr\nNudEpRp06NEUL68STy4AiwXVutUEf/kpFeMvAJCp8OQH96EszBxElLkRrdjJbOlY+tlX0o+VYAeb\nQ4+xeUsyAoM4ZtWSU6Y82W6eBMSfou6m5XiuXoEHYJUr2PPmZBLrNH1ybRAEQXiCtDo3VP6BWA15\nBSsOnuo/khyDO62//5TywzvhvX4T7dpVBvK/Qrx2zUHMlgQMv25AmZhAdrqVi/sC2LyvI4tpXLDv\ngAA7ISF2ypbN36ppzlMtaSveykzkpf0xN2yMPbjs/UHZbKjWrER+IhZL85aY23Z4CkfiySg6Sdvh\nwGfWdHouWYRNLuda1XooTVmUOX2MMqeP0UIiJW9NDewtW2Nu3RZr7boFM4jd3UOXGrNwX70S3b69\nWIKCsY4ei6NsuYe+bGYmnD8vJXXfeZotGoLPzWPkoWQ1vVlOfyIs7bEZFZStmE3H8Bv4ldSyyn8C\np43JuN9MJs2vFDeCK2KXywvWt/b29QcgoVINEtv3Jih6D/aLp7lU7Tlk4bWf/LEUBEF4yk606EJ4\niDf+H4zH44XnyVy8FEv951Du2UX5JQupvnM7Urv9njrjmU50qab80PQbTiQHcfaslH375ETvy2UW\nY3mBufe9TlTJbvza/EPUoSUJCVETVMJIzdlD0O/cnP+ExQvJ6T8Q4+wvoQjOrV5o0nY4HEyaNImz\nZ8+iVCqZNm0agYGBBeWRkZHMnz8fuVzOCy+8QK9evQqt89isVvRjRqFZsYzb/oHsGD+HjFLBAOhu\npRB8YAdBv22h5IlYJDFH0X06E3NwWTK69ySza3duKlUc2fI79Q/voerujahy/lhx40AU9p/WcX7E\nJxypOZir12Rcvy7h6lUp165JiI+H1JtSXmcBsxiLlhy+ZyBf+EzEFmSgfCULI0KuULZCNmpN/pst\nJekWMpkbmRVDyfwjfO0f/z7ogjKHTM7lBq1ICSr/0O+JBEEQijq73c7lNu3B4cBv0v/w6NYRh1yO\nxGoF4EZgCOfav0hy5VrY5QoMyVeo/vN31D25l2qRjUmes4DcajWwx1+l5MjXcb8YR5JXKF97MJZo\n9wAACcFJREFUvUKCORiPW0n0Ni2n0fWfqb5iOx/wIfNpwHzeQE8su6St+MZvDOMzxxO2fClHjsjY\n1mMuJXwl+Pg48PFx4O2dv7ny+uOFJu0dO3ZgNptZtWoVsbGxTJ8+nfnz5wNgtVqZMWMG69evR6VS\n0bdvX1q1asWRI0ceWueh7HbIzeWvR0uSmYHbsMEoI3eQE16NNcM+RPZHwnY4IN3gz8EmA1kX1BbL\njSzCbyRQ48Q2al6IxOezWfh8NovSUhUN7Pnz792U+7LEfSxfO16hYdYuvswbScXZI4nhN1bwHrfx\nwpcblJQk0VYdS0/Nj1TNicGodGdxp8kktWhEh+wD9/SYBUEQhL+Xk53FpqhUvIIa4T9hLrUj1uB2\nK4WU4FD2V65NepV6ePv9eS1PRskgrtZoSPnvZ9Ns0wpK9evN1Uo1CLhwElVuNieaduTH1i+g8ilF\nA19/IJSj5mbc3LKZFmtn8mnO2wX7WlXiZcZpPiU1Tc9GUyQ7aE3jM9+S8FEeg/kWC8p7YtVqHbi7\nO/DwcOBlMNMubyPtUpdTxniGPK0nCWFtSGzQA0v5Smi1DnS6/Dp6WTZaTxVavQStFmSyf/84Fpq0\njxw5QpMmTQCoXr06cXFxBWXx8fEEBQWh1+d/c1GnTh1+//13YmJiHlrnYSxKLT62PExyNxIMVYjX\nVcNutdMkdQNK6w326trzWsYKkiZpsFllWKxSzHlS7LY7N/2F37W3/+JOOr1Zwwv8SAn7LRIIYgNd\nWWPtjcwmR2+wsc+3M8M8qzHt0jBeTF3Di6z5cxcOIAccEgkXn2vD/qHjcHj64A+kJBkKbY8gCIJw\nL63ODb3BA2PNRuyp2ajg8VtJCcgedAO3VEpU+96klA2jw9qFBMdFY/L04dDgsZxt3R35X6ZplSsh\nqWtH1jdvQNnVC9Abs7jesgtZNRryPon5r5WaToruS1KnjKL/2RW09T3CnqqvclJdiysmL25lqHFk\nGPHKSKB2/B56mlfhx438unjhlXGJoKRDEDmVOKpwngp4coMQ4vEnBRtSLhPMXmoTI6vNSXVNbhnK\nIlErkWmUKJWgUdlQKR2s+e3xc0mhSdtoNGIw/LljuVyO3W5HKpXeV6bVasnKysJkMj20zsPE2sK5\njRelrNeomPY7ldMOAJCBGxPlU5gnG4MkRwYSCxqdDYPcgUJpR6W2otbYwJGJSmPH3UOJSm1DrbFh\nUjdhtboh5twk9O52ygcamKo/VPDpJzX5KnlmM2vd3iEsJoqyZ4+jsORhNHhwUyrDVLIsmbWew+T5\nx1y6WekA5BizkMrzMGbdP4bypMvsNiXZ2ean9npFukziwOG4/6Puw+q5XPxPqcxuU7pMLE+77HHq\n3P235yrxu2pZVmbaPeep/+8+TwaFkjR9KbqM22Qb3PNvh81Kf2g9o1TKmRZdkcqVeHn7Fpy7AbLS\nrrIrxUzcq2Np/dM31Nq/jZ47x9DzvlfOl601EFWzK1uCG5LgVhGDXUvY2YPUuxBJzev7CbefxIqM\nJFVJDqkbo7DmUTb3Ar1ta+ltWwsm8rcHevxb2wpN2nq9HpPpz1e8O/nq9XqMRmNBmclkwt3d/W/r\nPEwdx+EHPu4OTP5jy6d44PPg7yapD/+bsju6P8JzBOFZ9ZyzAxCEp+/t3oU+RQs0+mP7Uxvg/YLf\n5EDgH9uTVuilc7Vq1WLPnj0AxMTEEBoaWlAWEhJCQkICmZmZmM1mDh8+TI0aNahZs+ZD6wiCIAiC\n8M9IHIWsRHH3leAA06dP5+TJk+Tk5NCrVy92797N3LlzcTgc9OzZk759+z6wTtmyD7h3ThAEQRCE\nR1Zo0hYEQRAEwTUUvTvLBUEQBKGYEklbEARBEIoIkbQFQRAEoYgQSVsQBEEQigiXWDBk+/btRERE\nMHv2bABiY2OZNm0acrmchg0bMmLECCdH6FqaNm1KcHAwADVr1mT06NHODciF/Ovz3j/jevToUTCj\nYenSpfnoo4+cHJFriY2N5ZNPPmHZsmUkJiby7rvvIpVKqVChAhMnTnR2eC7j7uN0+vRphg8fXnCO\n6tu3Lx06FN1Vtf4tVquV8ePHc+3aNSwWC6+99hrly5d/7PeU05P2tGnTiIqKIiwsrOCxiRMnMnfu\nXEqXLs2wYcM4c+YMlSpVcmKUriMxMZEqVaqwYMECZ4fikv5urnzhXmZz/oxVS5cudXIkrmnx4sVs\n2LABnU4H5N+6+tZbb1GnTh0mTpzIjh07aN26tZOjdL6/Hqe4uDiGDBnCyy+/7NzAXMwvv/yCp6cn\nM2fOJDMzk65du1KpUqXHfk85fXi8Vq1aTJo0qeB3o9GIxWKhdOnSADRu3Jj9+/c7KTrXExcXR0pK\nCgMHDmT48OFcunTJ2SG5lL+bK1+415kzZ8jOzmbo0KG8/PLLxMbGOjsklxIUFMS8efMKfj958iR1\n6tQB8ke7Dhw44KzQXMqDjtPu3bsZMGAAEyZMIDs724nRuY4OHTowatQoAGw2GzKZjFOnTj32e+qp\nJe1169bRuXPne7a4uLj7hk1MJlPBcB2ATqcjKyvraYXpUh50zHx9fRk+fDhLly5l2LBhjB071tlh\nupSHzZUv3E+tVjN06FCWLFnCpEmTGDNmjDhWd2nTpg2yu5ZpuntKi+J8Xvqrvx6n6tWrM27cOH74\n4QcCAwOZM2eOE6NzHRqNBq1Wi9FoZNSoUYwePfofvaee2vB4z5496dnzYVOy/0mn0903n7mbm9uT\nDM1lPeiY5ebmFvyB1K5dm5s3bzojNJf1T+a9L66Cg4MJCgoq+NnDw4ObN2/i5+fn5Mhc093vo+J8\nXipM69atCz44t2nThqlTpzo5IteRlJTEiBEjGDBgAJ06dWLWrFkFZY/6nnK5s5ler0epVHLlyhUc\nDgf79u2jdu3azg7LZcydO5fvv/8eyB/eDAgIKKRG8fJ3c+UL9/rxxx+ZMWMGACkpKZhMJnx8/m7h\nneKtcuXKREdHA7B3715xXnqIoUOHcuLECQAOHDhAlSpVnByRa0hNTWXo0KGMHTuW7t3zF6gKCwt7\n7PeU0y9Ee5DJkycXDNU1atSIatWqOTskl3FnSHzPnj3I5XKmT5/u7JBcSps2bYiKiqJPnz4A4vj8\njZ49e/Lee+/Rr18/pFIpH330kRiV+BvvvPMO77//PhaLhZCQENq3b+/skFzSpEmTmDJlCgqFAh8f\nHz788ENnh+QSFi5cSGZmJvPnz2fevHlIJBImTJjA1KlTH+s9JeYeFwRBEIQiQnysFgRBEIQiQiRt\nQRAEQSgiRNIWBEEQhCJCJG1BEARBKCJE0hYEQRCEIkIkbUEQBEEoIkTSFgRBEIQi4v8Ano5bTtYD\nat8AAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from sklearn.neighbors import KernelDensity\n",
+ "kde = KernelDensity(0.15).fit(x[:, None])\n",
+ "density_kde = np.exp(kde.score_samples(xpdf[:, None]))\n",
+ "\n",
+ "plt.hist(x, 80, normed=True, alpha=0.5)\n",
+ "plt.plot(xpdf, density, '-b', label='GMM')\n",
+ "plt.plot(xpdf, density_kde, '-r', label='KDE')\n",
+ "plt.xlim(-10, 20)\n",
+ "plt.legend();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "All of these density estimators can be viewed as **Generative models** of the data: that is, that is, the model tells us how more data can be created which fits the model."
+ ]
}
- ]
-}
\ No newline at end of file
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.5.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}
diff --git a/notebooks/05-Validation.ipynb b/notebooks/05-Validation.ipynb
index efd25c3..933c5b1 100644
--- a/notebooks/05-Validation.ipynb
+++ b/notebooks/05-Validation.ipynb
@@ -1,1049 +1,1069 @@
{
- "metadata": {
- "name": "",
- "signature": "sha256:103829ddf6e6bf8320f753564daff22faf63bb5666a7afc35aa55451e57f897a"
- },
- "nbformat": 3,
- "nbformat_minor": 0,
- "worksheets": [
+ "cells": [
{
- "cells": [
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "# Validation and Model Selection"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "In this section, we'll look at *model evaluation* and the tuning of *hyperparameters*, which are parameters that define the model."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from __future__ import print_function, division\n",
- "\n",
- "%matplotlib inline\n",
- "import numpy as np\n",
- "import matplotlib.pyplot as plt\n",
- "\n",
- "# Use seaborn for plotting defaults\n",
- "import seaborn as sns; sns.set()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 1
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Validating Models\n",
- "\n",
- "One of the most important pieces of machine learning is **model validation**: that is, checking how well your model fits a given dataset. But there are some pitfalls you need to watch out for.\n",
- "\n",
- "Consider the digits example we've been looking at previously. How might we check how well our model fits the data?"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.datasets import load_digits\n",
- "digits = load_digits()\n",
- "X = digits.data\n",
- "y = digits.target"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 2
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's fit a K-neighbors classifier"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.neighbors import KNeighborsClassifier\n",
- "knn = KNeighborsClassifier(n_neighbors=1)\n",
- "knn.fit(X, y)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 3,
- "text": [
- "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
- " metric_params=None, n_neighbors=1, p=2, weights='uniform')"
- ]
- }
- ],
- "prompt_number": 3
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now we'll use this classifier to *predict* labels for the data"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "y_pred = knn.predict(X)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 4
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Finally, we can check how well our prediction did:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(\"{0} / {1} correct\".format(np.sum(y == y_pred), len(y)))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1797 / 1797 correct\n"
- ]
- }
- ],
- "prompt_number": 5
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "It seems we have a perfect classifier!\n",
- "\n",
- "**Question: what's wrong with this?**"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Validation Sets\n",
- "\n",
- "Above we made the mistake of testing our data on the same set of data that was used for training. **This is not generally a good idea**. If we optimize our estimator this way, we will tend to **over-fit** the data: that is, we learn the noise.\n",
- "\n",
- "A better way to test a model is to use a hold-out set which doesn't enter the training. We've seen this before using scikit-learn's train/test split utility:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cross_validation import train_test_split\n",
- "X_train, X_test, y_train, y_test = train_test_split(X, y)\n",
- "X_train.shape, X_test.shape"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 6,
- "text": [
- "((1347, 64), (450, 64))"
- ]
- }
- ],
- "prompt_number": 6
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now we train on the training data, and validate on the test data:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "knn = KNeighborsClassifier(n_neighbors=1)\n",
- "knn.fit(X_train, y_train)\n",
- "y_pred = knn.predict(X_test)\n",
- "print(\"{0} / {1} correct\".format(np.sum(y_test == y_pred), len(y_test)))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "447 / 450 correct\n"
- ]
- }
- ],
- "prompt_number": 7
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This gives us a more reliable estimate of how our model is doing.\n",
- "\n",
- "The metric we're using here, comparing the number of matches to the total number of samples, is known as the **accuracy score**, and can be computed using the following routine:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.metrics import accuracy_score\n",
- "accuracy_score(y_test, y_pred)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 8,
- "text": [
- "0.99333333333333329"
- ]
- }
- ],
- "prompt_number": 8
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This can also be computed directly from the ``model.score`` method:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "knn.score(X_test, y_test)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 9,
- "text": [
- "0.99333333333333329"
- ]
- }
- ],
- "prompt_number": 9
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Using this, we can ask how this changes as we change the model parameters, in this case the number of neighbors:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "for n_neighbors in [1, 5, 10, 20, 30]:\n",
- " knn = KNeighborsClassifier(n_neighbors)\n",
- " knn.fit(X_train, y_train)\n",
- " print(n_neighbors, knn.score(X_test, y_test))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "1 0.993333333333\n",
- "5"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 0.988888888889\n",
- "10"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 0.988888888889\n",
- "20"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 0.973333333333\n",
- "30"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- " 0.968888888889\n"
- ]
- }
- ],
- "prompt_number": 10
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We see that in this case, a small number of neighbors seems to be the best option."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Cross-Validation\n",
- "\n",
- "One problem with validation sets is that you \"lose\" some of the data. Above, we've only used 3/4 of the data for the training, and used 1/4 for the validation. Another option is to use **2-fold cross-validation**, where we split the sample in half and perform the validation twice:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X1, X2, y1, y2 = train_test_split(X, y, test_size=0.5, random_state=0)\n",
- "X1.shape, X2.shape"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 11,
- "text": [
- "((898, 64), (899, 64))"
- ]
- }
- ],
- "prompt_number": 11
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "print(KNeighborsClassifier(1).fit(X2, y2).score(X1, y1))\n",
- "print(KNeighborsClassifier(1).fit(X1, y1).score(X2, y2))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "0.983296213808\n",
- "0.982202447164"
- ]
- },
- {
- "output_type": "stream",
- "stream": "stdout",
- "text": [
- "\n"
- ]
- }
- ],
- "prompt_number": 12
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Thus a two-fold cross-validation gives us two estimates of the score for that parameter.\n",
- "\n",
- "Because this is a bit of a pain to do by hand, scikit-learn has a utility routine to help:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.cross_validation import cross_val_score\n",
- "cv = cross_val_score(KNeighborsClassifier(1), X, y, cv=10)\n",
- "cv.mean()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 13,
- "text": [
- "0.97614938602520218"
- ]
- }
- ],
- "prompt_number": 13
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### K-fold Cross-Validation\n",
- "\n",
- "Here we've used 2-fold cross-validation. This is just one specialization of $K$-fold cross-validation, where we split the data into $K$ chunks and perform $K$ fits, where each chunk gets a turn as the validation set.\n",
- "We can do this by changing the ``cv`` parameter above. Let's do 10-fold cross-validation:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "cross_val_score(KNeighborsClassifier(1), X, y, cv=10)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "pyout",
- "prompt_number": 14,
- "text": [
- "array([ 0.93513514, 0.99453552, 0.97237569, 0.98888889, 0.96089385,\n",
- " 0.98882682, 0.99441341, 0.98876404, 0.97175141, 0.96590909])"
- ]
- }
- ],
- "prompt_number": 14
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This gives us an even better idea of how well our model is doing."
- ]
- },
- {
- "cell_type": "heading",
- "level": 2,
- "metadata": {},
- "source": [
- "Overfitting, Underfitting and Model Selection"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now that we've gone over the basics of validation, and cross-validation, it's time to go into even more depth regarding model selection.\n",
- "\n",
- "The issues associated with validation and \n",
- "cross-validation are some of the most important\n",
- "aspects of the practice of machine learning. Selecting the optimal model\n",
- "for your data is vital, and is a piece of the problem that is not often\n",
- "appreciated by machine learning practitioners.\n",
- "\n",
- "Of core importance is the following question:\n",
- "\n",
- "**If our estimator is underperforming, how should we move forward?**\n",
- "\n",
- "- Use simpler or more complicated model?\n",
- "- Add more features to each observed data point?\n",
- "- Add more training samples?\n",
- "\n",
- "The answer is often counter-intuitive. In particular, **Sometimes using a\n",
- "more complicated model will give _worse_ results.** Also, **Sometimes adding\n",
- "training data will not improve your results.** The ability to determine\n",
- "what steps will improve your model is what separates the successful machine\n",
- "learning practitioners from the unsuccessful."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Illustration of the Bias-Variance Tradeoff\n",
- "\n",
- "For this section, we'll work with a simple 1D regression problem. This will help us to\n",
- "easily visualize the data and the model, and the results generalize easily to higher-dimensional\n",
- "datasets. We'll explore a simple **linear regression** problem.\n",
- "This can be accomplished within scikit-learn with the `sklearn.linear_model` module.\n",
- "\n",
- "We'll create a simple nonlinear function that we'd like to fit"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "def test_func(x, err=0.5):\n",
- " y = 10 - 1. / (x + 0.1)\n",
- " if err > 0:\n",
- " y = np.random.normal(y, err)\n",
- " return y"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 15
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now let's create a realization of this dataset:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "def make_data(N=40, error=1.0, random_seed=1):\n",
- " # randomly sample the data\n",
- " np.random.seed(1)\n",
- " X = np.random.random(N)[:, np.newaxis]\n",
- " y = test_func(X.ravel(), error)\n",
- " \n",
- " return X, y"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 16
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X, y = make_data(40, error=1)\n",
- "plt.scatter(X.ravel(), y);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 17
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now say we want to perform a regression on this data. Let's use the built-in linear regression function to compute a fit:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X_test = np.linspace(-0.1, 1.1, 500)[:, None]\n",
- "\n",
- "from sklearn.linear_model import LinearRegression\n",
- "from sklearn.metrics import mean_squared_error\n",
- "model = LinearRegression()\n",
- "model.fit(X, y)\n",
- "y_test = model.predict(X_test)\n",
- "\n",
- "plt.scatter(X.ravel(), y)\n",
- "plt.plot(X_test.ravel(), y_test)\n",
- "plt.title(\"mean squared error: {0:.3g}\".format(mean_squared_error(model.predict(X), y)));"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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onyq1FRYWZMTcr3Xt4Wjnf7IlyKZtDVTvaOB80K21nDGOspJLtZYnT5yL3QTi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\nl621v475qERERDJMvwPZGDM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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 18
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "We have fit a straight line to the data, but clearly this model is not a good choice. We say that this model is **biased**, or that it **under-fits** the data.\n",
- "\n",
- "Let's try to improve this by creating a more complicated model. We can do this by adding degrees of freedom, and computing a polynomial regression over the inputs. Scikit-learn makes this easy with the ``PolynomialFeatures`` preprocessor, which can be pipelined with a linear regression.\n",
- "\n",
- "Let's make a convenience routine to do this:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.preprocessing import PolynomialFeatures\n",
- "from sklearn.linear_model import LinearRegression\n",
- "from sklearn.pipeline import make_pipeline\n",
- "\n",
- "def PolynomialRegression(degree=2, **kwargs):\n",
- " return make_pipeline(PolynomialFeatures(degree),\n",
- " LinearRegression(**kwargs))"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 19
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now we'll use this to fit a quadratic curve to the data."
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "model = PolynomialRegression(2)\n",
- "model.fit(X, y)\n",
- "y_test = model.predict(X_test)\n",
- "\n",
- "plt.scatter(X.ravel(), y)\n",
- "plt.plot(X_test.ravel(), y_test)\n",
- "plt.title(\"mean squared error: {0:.3g}\".format(mean_squared_error(model.predict(X), y)));"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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ZvJWVm4rp1DGFR6ePYkjvzs0+9mLWpBYRaW8KZIkapSd9PPvmBvYWlzGoZybf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\nAQWyiIiICyiQRUREXECBLCIi4gL/H/0U9hcQbidrAAAAAElFTkSuQmCC\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 20
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This reduces the mean squared error, and makes a much better fit. What happens if we use an even higher-degree polynomial?"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "model = PolynomialRegression(30)\n",
- "model.fit(X, y)\n",
- "y_test = model.predict(X_test)\n",
- "\n",
- "plt.scatter(X.ravel(), y)\n",
- "plt.plot(X_test.ravel(), y_test)\n",
- "plt.title(\"mean squared error: {0:.3g}\".format(mean_squared_error(model.predict(X), y)))\n",
- "plt.ylim(-4, 14);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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dNW8YbscYCtn85He7afEH+PQHZzF5XF6/j/f7/VRVbeaOO/L43vee5MEH1/PT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\nHJs3wCNFRAZJNWtXKCA7pGvak0tLZ56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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 21
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "When we increase the degree to this extent, it's clear that the resulting fit is no longer reflecting the true underlying distribution, but is more sensitive to the noise in the training data. For this reason, we call it a **high-variance model**, and we say that it **over-fits** the data."
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Just for fun, let's use IPython's interact capability (only in IPython 2.0+) to explore this interactively:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from IPython.html.widgets import interact\n",
- "\n",
- "def plot_fit(degree=1, Npts=50):\n",
- " X, y = make_data(Npts, error=1)\n",
- " X_test = np.linspace(-0.1, 1.1, 500)[:, None]\n",
- " \n",
- " model = PolynomialRegression(degree=degree)\n",
- " model.fit(X, y)\n",
- " y_test = model.predict(X_test)\n",
- "\n",
- " plt.scatter(X.ravel(), y)\n",
- " plt.plot(X_test.ravel(), y_test)\n",
- " plt.ylim(-4, 14)\n",
- " plt.title(\"mean squared error: {0:.2f}\".format(mean_squared_error(model.predict(X), y)))\n",
- " \n",
- "interact(plot_fit, degree=[1, 30], Npts=[2, 100]);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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LxuYWmpqjRDtjABQVFrBxTRV1LsIla6qYNaM4wy0VEUlc0oHsnLsbuBnvMOhv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\nZBERkQBQIIuIiASAAllERCQA/j8Ovzgm8mlA+QAAAABJRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 22
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Detecting Over-fitting with Validation Curves\n",
- "\n",
- "Clearly, computing the error on the training data is not enough (we saw this previously). As above, we can use **cross-validation** to get a better handle on how the model fit is working.\n",
- "\n",
- "Let's do this here, again using the ``validation_curve`` utility. To make things more clear, we'll use a slightly larger dataset:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "X, y = make_data(120, error=1.0)\n",
- "plt.scatter(X, y);"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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OfDjGeGXX31f6fa+tR/8zve+Ne2T8LuA/xRh3AQ8D/6yrcT8GXA/Mxxh3AleH\nEP7emNuQwrb1ukMI08C9wM8Bu4F3hBBemaSV+enV/xcDHwR+Jsb408ClwLVJWpmPvrXaQwi/DPwk\nrTfkqul176eAjwOLMcY3Ak8Bc0lamZ9+97/9u/9TwK+FEC6dcPtyFUJYAj4BvKjr7+vwvter/5nf\n98YdjM/Xrd74/892/fv/An6+49PBNPCdMbchhV71uv8u8EyM8dsxxjXgj4Bdk29irnr1v0nrw1dz\n4+sXUI173tazVnsI4QpgB/AxWqPDqunV/x8HngV+NYTwh8DLY4xx4i3MV79a/WvAy4EX07r/VftA\n9gzwVi5+bdfhfQ+273/m972hg3EI4Z+GEL7W+R+t6N+uW3124+vzYozfizH+nxDCVAjhXwL/Mcb4\nzLBtKJBe9bpfBny7498uui4VsG3/Y4zrMcYzACGE24CXxBj/IEEb87Jt30MIrwbuBn6FagZi6P3a\n/+vAFcD9tD6YXxVCuJJq6Ver/zeAPwH+HDgWY+z83tKLMT5Oaxq2Wx3e97bt/zDve0OvGccYPwl8\nsvPvQgif4ULd6hngue7HhRAawKdo3ahbh33+gulVr/vbXf82A3xrUg2bkJ71yjfenA4DrwOum3Db\n8tar72+jFZA+B7wK+GshhP8cY3x4wm3MU6/+P0trdBQBQggnaI0cvzjZJuZq2/6HEF5L64PYjwD/\nD3gkhPC2GOPvTL6ZE1eH972esr7vjXua+nzdauAa4FRX46aAfw98Ncb4rqok8dC7Xvd/AV4fQvjh\nEMILaU3VnJ58E3PVr175x2itqRzomLapim37HmO8P8Z42UZix4eBT1csEEPve/8/gJeGEP72xtdv\npDVCrJJe/W8A3we+uxGgv0lryroO6vC+10+m972xlsPcWLR+CHg1rczC62OM39zIoH4G+CHgt2nd\nlPa03ftijH88tkYksPEho51RCa163f8QeGmM8RMhhGtpTVdeAnwyxvhAmpbmo1f/ga9s/Nf5wey+\nGOMTE21kTvrd+47vuwkIMcY7J9/K/Azw2m9/EJkCvhRjvCNNS/MxQP/voJW02qT1HnhLjHGrad3S\nCiH8KK0PmldsZBDX4n2vbav+M8T7nrWpJUlKzKIfkiQlZjCWJCkxg7EkSYkZjCVJSsxgLElSYgZj\nSZISMxhLkpTY/wdzHhQS6VIrdgAAAABJRU5ErkJggg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 23
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.learning_curve import validation_curve\n",
- "\n",
- "def rms_error(model, X, y):\n",
- " y_pred = model.predict(X)\n",
- " return np.sqrt(np.mean((y - y_pred) ** 2))\n",
- "\n",
- "degree = np.arange(0, 18)\n",
- "val_train, val_test = validation_curve(PolynomialRegression(), X, y,\n",
- " 'polynomialfeatures__degree', degree, cv=7,\n",
- " scoring=rms_error)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 24
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Now let's plot the validation curves:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "def plot_with_err(x, data, **kwargs):\n",
- " mu, std = data.mean(1), data.std(1)\n",
- " lines = plt.plot(x, mu, '-', **kwargs)\n",
- " plt.fill_between(x, mu - std, mu + std, edgecolor='none',\n",
- " facecolor=lines[0].get_color(), alpha=0.2)\n",
- "\n",
- "plot_with_err(degree, val_train, label='training scores')\n",
- "plot_with_err(degree, val_test, label='validation scores')\n",
- "plt.xlabel('degree'); plt.ylabel('rms error')\n",
- "plt.legend();"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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hyCcokWs4O5xSSiaaEUIIse4tJ9DzqVTqJuClwP2pVOoPKU8D23IWNrtv6glD\nfvGBcQBZRwJdCCHE+racQH89EAVek06nx4HNwO80tVRNsnBgnGFoxCj3j5/N1k4BO8MLPApeoall\nE0IIIc7HciaWOQV8EzBTqdSLgH8E9ja7YM0QMuyaZWL6I30AnJgcXPSzcgubEEKI9Ww5o9y/Rnkg\n3OkFu26o8/Z1Tdd0TM3EU/MmmEl2c9w1GcqPLvrZol/CDTwsfVlz8QghhBCrajnpdBVwSTqd9ptd\nmNUQMkLVM8ZtihAcSZBPZHB8p+7tbQAoyDpZkuGuVSqpEEIIsXzL6UP/CbC/2QVZLQtnjNvWH0bl\nO0CD4SVq6Vk3L7ewCSGEWJeWU0P/N+BgKpU6y9za5iqdTrduP/o8Ydsg5CfxOc5Qfpjtia0NP6tU\nQM7Nk7DjzS6mEEKIZQhUgOO7uIE7++wGLn64G02F0LUNMyHqsgL9w5SXNz3R5LKsCqsywYyaV9Pu\nDfUyBJyYHOLZmxb/fNbNSaALIcQacAMP13dwAhfX93ACBz+o3xucdwvk89P0RXs3TKgvJ9CHgR+m\n0+m2aWsOGXbVRDLbkz0MBvqit67NcH2XolcibIaWfK8QQoiVm1/rnl/zXumS1iXfYSg/Qn+kF0Nv\nyfnQVmQ5gf4Y8EAqlfoXwK1sU+l0+kPNK1ZzLQz0LX0RguMdTMcnyLn5JZdMzbpZCXQhhLgAyrVu\nFydwcH0PN3CrBi6f9/F9l8H8MP2RXqwFs4W2m+UE+nHKze3zL420Bu9tCQtHsm/vj+A/vAUjMcHD\nw4e4bttzF/183ivgB/6GuOITQogLqeAVKXiFSq3bq+r+bBY/8BnKj9AX7a0ZR9VOlhPoe9Lp9Bub\nXZDVNDvBTOUSpSNmYk9vhyDNY6OHeOHW56Bpi1yzKJh2s3SFOlelvEII0coc3yHn5mcrQ2shUAHD\n+RF6I91EzMialKHZljNS4PJUKpVoeklWka7pWPpc04umaWzpieONbWHaneKZyeNLHiPn5lfcnyOE\nEBuFG3hMlqY4kx1kMDfMtJNdszCfoZRipDDWtgtuLaeGHgAnUqlUmvLyqVDuQ39J84rVfCHDxvXd\n2a+vPpDg2H/swOw7zYNDj3NR1+5FP+8HPnmvsGR/uxBCbBQzvxdzbh7Hd9a6OPUpGC9k8IOAzlBb\n1VWXFejvq7Ot5aum5X70uau0/bvixB/oxsknGGCAKWeaDnvxv+ysk5VAF0JsaIEKKHhFcm6eol9s\nmXSYLE02ZGzgAAAgAElEQVQSKL+tZv9cMtDT6fS/r0I5Vl1Irx4YYVk6l+9L8NMzO9B3P8HDQ4d4\n8Y4XLHqMku8sPl2sEEK0IaUURb9Izi1Q8Aot2/047WTxVUBPOLn4uKkWsTHutq/DMqyqyQYMTeeS\nfTG0zFbwDR4fe2JZ07xOy1rpQogNouQ7jBcznM6eZSQ/Rr4NxhLl3TwjhdG2mNZ7wwY61N6+lkzY\n7N/ZiTe2hZyX5Ujm2JLHyHsyv7sQon25vstEaZIz2UGGcsNknVzb/c4reiWG86NrPmjvfG3oQA8Z\n1ZPDRMMml++L4w3vAOCR4YNLHkMp1bYjJoUQG5MX+Ew50wzmhjibG2KqNH1BJ3tZj5zKrHKtfJ4b\nPNCrZw0yNJ2tm8JsjvcR5Do4nj1Bpji55HGy0uwuhGgDRa/IcH6EExOnmShO4sy7E2gj8AKPofxI\ny573hg50e2aCmXliYYvLZmvpiocGl66le4FHwSss+T4hhFiPCl6Bwdwww/lRil6Jlhmq3gQzs8qV\nfw6tZUMHuq7p2Hp1Ld02dfbvjBLKb0f5BocyT+KrpftVZHCcEKLV5N08Z3NDjOTH1u9942tAqYCR\nwih5t7Uqahs60KF2YBxAPGpx6d5O/NGtFPw8T44+s+Rxin4Rt4X7XoQQG4NSiqyT40x2kNHCeNUE\nW2KOUorR4lhLdalu+EBfODAOIBI2ueyiGMFoeXDcoyNLN7ujyhPNCCHEeqSUYtrJciY3yHgx09KD\nv1aNgvFihsnS1FqXZFk2fKDXq6HraHR3htjbu4kg28mp/ElGchNLHivryi1sQoj1JVABk6VpzuQG\nyRQnWv7WrLUwWZpivJhZ62IsacMHuqWbdZdBjYVNLt+fmL2F7eHhx5c8llJBy/W5CCHakx/4TJQm\nOZ0dZLI0KUF+nrJOjtHC2LqeSGfDBzqArdfW0k1DZ/uWMEm1A+WZPJE5jBMs3dc07UqzuxBi7fiB\nT6Y4wZncIFOl6VVZb3yjyLsFhtfxrHIS6NRvdgeIhSwuv6gLf3QrpaDAEyNHlzyW67stebuDEKK1\nuYHHeDHDmdwg0052XdckW1nJKzGcH1mXLR4S6JSXUq0nbBvs3xPFmNgFwGMjB1HLuD8zK7V0IcQq\ncX2X0cI4Z3ODZJ2cBPkqcHyX4cLoWhejhgQ6YBtWzQQzMzpjNge2bcKfTnK2eIbB6fElj5f3Cuvy\n6k0I0T4c32EkP8bZ/BB5N7+R54JZE+ux2V0CnfoTzMyIhkwu2xfHH6kMjhtaenAcSvrShRDNUaw0\n+Q7mhsszVEqQi4ol10PfKEJGqO78vbqm0ZcMsT28iyHvSQ5PprnBeSERu/4FwIycm6fT7miLNXaF\nEM0VqABfBQQqIFD+vNcBflC9Xe4fF41IoFc0GhgHEA1bXLGvk9NHt6FtGeDQ6BGes/WyRY/nBz4F\nr0DUil7oogoh1jGl1GxA+8qfC+aq10HVdqlliwtBAr2i0cA4KM/vvmtrmNjB3TgM8NjoIa7ecgmG\ntniPxbSTlUAXYh2YCdHygDFFUHlWKJQqD3UtP8/fpmYHmAWVr6s+O/v+uc/mzAnGpqW7TawNCfQK\nszLBTKPBbLGIzRW7NvPTqW5GOgY5OznK9q7+RY9Z8h0c3y0PuhNCXHDlJmkff7Y52q80TfuV7eUa\n8GqN/F6PA6XExiGBPk/MijJVmq67LxIyOLAnyk+/twM6xnl4+CDbu16y5DGnnSw9keSFLqoQbW1h\nUM8F9NoEtRCtQAJ9npgVaxjoGhodcZv9XXs46j7JkakjZIvXEg+HFz1m3suTVJ3oSzTPC9HOFg76\nCmb7mSv9ytkiI7kpCWohzoME+jyWbhIyQ5QazPRWnt+9k/Rj29C2HuPQ6FM8f/sVix5TKUXWzdFh\nJ5pRZCFWVVA1mCtALRjgtXDAV6ACAoIlB31ZjqIk63ELcV4k0BeIW7GGgW7oOpt6QvSxlwmO8ejI\nIa7ZfBmWuXjtO+tIoIv1L6j0QfvKwwt8vMDDDbzZWrSMxhZifZNAXyBihtE0veGCBrGwxZV7NvHd\n4R4yncOcmhxmT8/mRY/pBR4Fr0DEjDSjyEIsmxd45YfyK6/LzzN900KI1iWBvoCu6cSsCFknV3d/\nyDLYsy3CD5/aRdA5xsPDB9nVvQl9iQlkpp2cBLpouqAy8Uh1aFeCW3lSwxaijUmg1xG3Yg0DHSAR\ntbl8014edQ7xjHqKqcIL6YouHtZFv4grMzyJC0Spcp9z0S8SZIsM5yZxA1+WyhRiA5Oh13XYhr3o\nveORsMklezsIxrbjay4HR9JLH1RB1pEJJ8S5c32XaSfLcH6UU9mzDOdHmCpNk3PyOL4rYS7EBieB\n3kDMijXcp6ORTNjsDO1DKXh89AmKztL9j1k3T94pXMhiijbmBz45N89YYZzT2bOczQ2RKU5Q9IoS\n3kKIGtLk3kDMijJRmmx4P2wsYnLl3n5ODPQy1TXKiclBLu7btugxlQoYzA5TyAckw11Yuvz4xZxA\nBZT8EkWvRNEv4dZZLEgIIRqRRGlA13QiZqS8znAdpqGzrT9C4vAe8ozy8NBB9nZvwTSWbvQoekUG\nc0Mk7DgddkImndnASr5D0StS9EuU/JIMWhNCnDNJkkXEl1hYJRY2uWrrXpQT4kThKBP55TenK6WY\nKk1zNjdE3pVm+I3CDTymnSwj+TFOTp9hKDfMZGmqPPeBhLkQ4jxIoC8ibIYxF2kWD9sm+3bF0TI7\nCDSPg8NpghX+VvYDn9HCGMP5EWlibUN+4JN384wVMuV+8OwgmeIEBa8g/eBCiAtKmtyXELOiTJam\nGu5PRC32d6Q4op7m8fFDPHfbFcTCK19dreiVOOsP0WEnpBm+SZRSc4t9BD7TJY3pyp0H5aUyZ1/N\nvh+Yt9RmZb9idinN8kfmvpr5zMy7ZXY1IcRqkUBfQtyKMelMNfylHA2bXLWnn8OH+8h3jXB84gyX\nbt51bt9MUb4Nyc3TFeokJmupL0t1UHu1q3NVAnzh0pZ+rkCmWH+MhBBCtBoJ9CUYukHYCFP0ivX3\nazrdXTZ9ah/jjPDg4CEu6tlOyDLO+Xv6gc9YYZysmyMZ6tqw66nPLPThz65xvbygFkKIjUgCfRni\nVrRhoEN5fvdrduzhn8ce5mwwwHg+x5bOjvP+viWvxKA/RMKK0xnqaPtmeDfwyiO+vfKIbwlqIYRY\nPgn0ZYiYEXRNbxgwtqmzY1OU0MAu3N40jw2m6Ys/e1m3sC1JwbSTJe8V6Ax1EF9kwptWM3PfdaES\n4p5MjSuEEOesvat8F4imaUv2Z8ciFpf1HEApjScnniRbuLAj1v3AZ7yQYSg3jNPCo+Ed32GyNM1Q\nfoRT2TOM5MfIOjkJcyGEOE8S6Mu0VM04Eja5bFcvTPZTMiYYmDi74lvYlqPkOwzmhxgvZlqiSXrh\n9KWDuWEmS5Ny37UQQlxg0uS+TJZhYRs2ju/U3a+jkYhZbLf2c5ohHho8yP7ebed0C9uSFGSdHHm3\nQFeok7i9fprh568CVvSKOIErwS2EEKtAAn0F4laM8QaBDuWZ4567+yJOnnyQEfs447kcsXBX08oT\nqIDxYoasm6M73IVt2E37XovxAo+iV+kL90syYYoQQqwBaXJfgagVQVtkpLlp6PR2h0iU9oDu89DZ\nJym5S6/Cdr4c32EwP8xYIYMfNP/7BSog7xTIFCc4kx3kTHaQ8WJGZj8TQog1JDX0FdA1nagZIefm\nGr4nFrJ41qYD/DD/JE9Pp8kWnkXIijS/cApybo68V0DXtNrdC1aNq20FV/NeqUa7ZiXNKNOOTMoi\nhBDrhdTQV2ip/uqwbbBvWxIjuxnPmuLpsdP4werVWlVlspWFj0AFVQ9V81Czj8o8pnMPIYQQ654E\n+gqFDHvRBVsA4hGbvbEUAA8PHSJXlFuyhBBCNJcE+jlYqpYeDZk8e+ceVDHKpH6SselsU25hE0II\nIWZIH/o5iJlRJrTJhs3RuqbRlbDpCS5iXH+cn51+gv7O5zfnFjYhhNiAlFI4vkPWy5Nzc+TcfNUj\nMRRhV2QX2xNb237a7BkS6OfA0A0iRoSCV2j4nmjY4jnbLuGfxg5y3DlCtnCNBLoQQizBDbw6AZ0j\n55VfZ93yHBw5N4enFrmrZwz+gweJWzFSyX0cSO5nW3wLWp1Bw+1CAv0cxe3oooFumzo7ejsJndqG\nEzvF4aGTdCX2rWIJhRBiffEDn+HCKCOF0dmwLgd05bWXbzh51wxd04lZUXojPcSsKDErRsyKEp95\nbUaJWVEC2+FnJx7nyMRRHhx+lAeHHyVhxUl1l8N9a2xz24W7BPo5ipgRDN1Y9L7vaNjiQOcBHvNO\n8fjYIa7Yvnv1CiiEEGss5+Y5nT3Lmdxgeern/HDDdRuiZoROu6MqnKNmhHglsGfCO2yElhXEyWSU\nHr2flwfXc3z6FIfHn+LIxFF+PvQIPx96hA47wYHkfg5072dztL8twl0C/TzErChTpemG+yMhg6u2\n7+Sxw3Gy9mlGJqbp6oygggBD3xh9OkKIjSFQASOFUU5nz3I6O8iZ3FkmSlOz+zU0eiM9bItvZnO0\nn4QdL4e0GSNqRZrWz23oBns7d7G3cxe/FNzAwNQJnsw8xVOZo/x06CF+OvQQXaGOSrhfTH+kt2XD\nXQL9PMSsGFPOdMPBcRoa8ajNFmMfZ/VH+OmpQ2zr72Z6ukgsYhKPWHUngRFCiPUu7xZma95ncmc5\nmxvGDeZWggwbIfZ27GJrfAvb4pvZEttEyAitYYnL4X5R1x4u6tqDt8vj2ORxDmee5umJZ/jx4IP8\nePBBukNdpLr3c0n3xfSGu1sq3CXQz4Olm4SMUHnlsAZiYZPn7biUb555jDP+0wTBC1EosgWXfNEj\nEbWIhk00WucfjRBiYwlUwGhlxcQzuXINPFOaqHpPb7h7Nry3xrbQE06u6zA0dZP9yYvYn7wIN/B4\nZnKAw+NP8fTkMR44+zMeOPszesJJDnRfzIHkfnoj3Wtd5CVJoJ+nuBVbNNANXae/K0FsYDv58Al+\nPnCUA33bAQiUYjLnkC26dERtIrb8dQgh1l7eLXJ0cqAc4NlBzuYGyysnVtiGze6OnWyLbWZrfAtb\nY5sJm2tb+z4flm6SSu4jldyH47scnTzG4fGnODo5wI/O/IQfnfkJfZEeDiQv5kD3frqbuOjW+ZAE\nOU9RM0JG0xddmzwWMrmy5xJ+nDvBz0cfoFh6Dldu3YVe6Uf3fUVmukTOdEnEbEKmsVrFF0JscCW/\nxFB+hKHcCEP5Yc7mhxkvZqre0x1Osi22ha3xzWyLb2m5puiVsA2LS7ov5pLuiyn5Dk9PPMPh8ac4\nNnWcH5x5gB+ceYBN0T4u6b6YX979UhJ2fK2LPEsC/TxpmkbMijLtZBu+J2QZHNi8nYNP7iAbPsnj\n7r9x6Egnl3RcwbO27J8dDOJ4AWOTRcK2QUfUxjRk4JwQ4sIpeEWG8sMM5UYYzA8zlB+paTq3dYt9\n3bvoC/XPhnjEDK9RiddWyLC5rOcAl/UcoOiVeGriGQ5nnmJg6gRDp35EpjjBW698w1oXc1bTAz2V\nSj0f+K/pdPqGBdtfBdwGeMDn0+n03zS7LM2yVKBDeX7330j9ImdzY/xg4GcUI6c5VPohTz79EBfH\nL+NZmy7B0ssTzxQdn5JTJBoyicdMjA0yy5EQ4sLJuXmG8sMMVmreQ/kRJp2pqveEjBC7EtvZFO1n\nU6yfzdE+kqEuurtjZDKymuJ8YTPEFb2XcEXvJRS8IgNTJ7is58BaF6tKUwM9lUq9D/hdILtguwV8\nDHgOkAd+lEql/lc6nR5uZnmaxTZsbMPC8d2G74mETabzLqnN29kS62FgZIyfnn2EYuwEh4s/I/3M\no+yLHeBZ/ZcTNiIoFLmSS8HxiEVMYhELXQbOCSEWUEqRdXPl8M6PMJQbZjA/THbBMs8RM8yejp1s\nroT3pmgfnXZH2zadN1PEDHN57yVsi29Z66JUaXYN/WngNcD/WLD9EuDpdDo9CZBKpX4IvAj4epPL\n0zQxK4bjTzTcr6MRCc39uHf39bC776UMDE3yk1OPUeo4xlPFx3j6+CF2R/ZxVe+VJKwOAqWYzpdH\nxMcjlkwfK8QGppRiypmebS6fCe/8glkr41aMizp3V4V3wopLeLe5pgZ6Op3+RiqV2l1nVwcwOe/r\naaCzmWVptpgVZaI0WV5PvNF7wibOgt27N3Wyq/86Bs5czU9OHaLU+TTHtDTHTqbZFt7NVT1X0RPq\nxQ/KI+JzRZeOaIiwLQPnhGg1XuBR8h0c36HkO5T8UuW5/Lredmfe10W/VHWvN0CHneDirosqzeZ9\nbIr2EbcWXxFStKe1GhQ3CSTmfZ0AMg3e2xJ0TSdiRsi7jfudTEOnpytK4Plk8y5BJfw1TWPPtji7\ntz6Poycu46cn0rjJo5zWBjh9ZoB+ewtXJK9kS2Qbng/j00VClkEiamOb0r8uxIWklCJQAV7g4QYe\nbuDOvl5smxe4aEOKqXyuYUj7i9wN04iGRsgIETJskqFOusPJSs27HN4RM9KEn4JoRdpiNcoLoVJD\n/2o6nf6Fedss4BDwfCAH/AfwqnQ6fXaRQ637BcULbpGz00PLem+gIFtwmM45BAv+jweB4uCRKX50\n5Ahu8mmMzjEAukM9XNN/Dfu69mFo5Rp6JGzSFZcR8WLj8gKPolei6JbKzw0eju/g+OUwdn0P13dx\nAxfHL4exM29bcIF+L1q6RdgMETbtynOIUOW5/Hpue7hq+9xrSzelqXwdMnSDXV3bV+NbLfsvf7UC\n/SvpdPraVCr120A8nU5/NpVKvRK4HdCBz6XT6U8vcSg1MtJ43vT14kx2sOHiA1BeMGD+6NEARb7o\nkSu4+EH134XvK548muPhY6fweo5idA+iaRA1YlzaeTn7Eiks3UJDIxo2iUdXb0T8wvNoRe1wDtC6\n56GUwg08nMAhHDMYyUzOa2ouUfJqm6TrPfuLLaG5BFM3sXQTU6s86yaWbs1tr3w983pme+17ys+9\nyQ5KuYCQEcLWLQy9NbvGWvXf1HzNPgdDN1ZlUFxfX2L9BPoF1BKBPlmaZrI02XB/o39kAYpC0SNb\nJ9hdN+DgUzkefWYI1XMMs/8U6AG2bpPquJRUx6VEjAi6phGPmIRts+k1dvkPv36s1nmUA9jF8V2c\nwKl+9h2cYMHzbA3Ymff+mX1O1cxjK2FqxmwTdMgIYRs2IdOe26ZXXs/fVglYy7CqwvtC13zl39T6\nsREDXSaWucDiVpRJZ3LFHQQ6GrFweV73/IJgtyydqy9NcOm+GI8e7uPgY/uh9zhsPsHjE49waOJx\n9iX2c0nnFQSqg6m8i6FrhCwD2zIIWbqs7tZG/MAn6+aYcqaZdrJYOY3pXAFfBQQqwA8CAuWXX1ce\ngfLn9lf2ld/bYHvV533cShifD0s3sXUby7CImpHK7Z42tm4Rj0TQfGM2fOs/l1+3aq1XiGaTQL/A\nDN0gbIQpesVz+ry2SLCHbJ3nXdnJ5RfHeeSJLp54bA9a92lCWwc4Mn2YI9OH2RndzcUdB9gU3oIf\nKPKlcvO/aWiETJOQrWNbhqzyto6VvBJTzjSTzjRTCx+labJuDtWEISW6pmNoeuXZmH22dZu4FcPW\nrdkQtnQL27Cw9blQtg1r3uvqZ8uwFl0esx1qhEKsNQn0JohbsXMO9BmLBXs0bHDtNV1ckYrz0KEE\nRx7djp4cIrx9gBMMcCI/QFgPszO2h92xPfSHN+P54PkuuVL52KahEbINQpaBZekyac0qCVRQrl2X\nasN6JsAd36n7WQ2NhB1nW3wLHXai8oiT7IhTyHvzQnhBKOs6umZgzNtWHdrlr2XglRCtTQK9CSJm\nGEM38INzH6wzY7FgT8RMXvy8JFcdiPPzgzGeeWwzejxDZMsQbucgR6af5Mj0k0SMKLtie9gd20tv\nqA80cH2FWwjIFlw0NCyzHPC2ZWCbetsv56qUwgvKTcmBCggIZpueyw817/WCR+W9StX7jD/7WV/5\nFLxiVWhPO9mGtWvbsOmcDeoFj1CCuBWrW8uV2q0QAiTQm0LTNKJmZMn53Vd0zEWCvavD4mXXdjOa\nifPIk1FOPNOD56fQO8YJ9Q9S6hri8NQhDk8dImbG2V0J96Tdg6ZpKBSOp3C8ACgHvG3r5T5401jX\n97rP3LJU8IuUvBJFvzj7ddErUfJLFLwiRb9EccHzYivkXWgaGnE7xtb45tmQXhjeoRZeflIIsfYk\n0JskbsUuaKDPWCzYe5M2L7u2G89TnB4uMnAqzvGT/eSOeugdo1i9g+STwxzyHufQ5OMkzA52x/ey\nO7aXLjs5+z0UipLjU3LKLQy6pmHbBiGzHPLNHEHv+A6jhXEmSpOVUC4Hc71ALnpFvBXcsqShETZD\nRIwwnaEOYqEwvsdsk3P1Q0PXjMqzjk65aVqb10S92Htn9kXMMB12goQdX7QPWQghzpcEepNYhkXI\nsCk16A89X4sFu2lq7NoaYdfWCEGgGB5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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 25
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Notice the trend here, which is common for this type of plot.\n",
- "\n",
- "1. For a small model complexity, the training error and validation error are very similar. This indicates that the model is **under-fitting** the data: it doesn't have enough complexity to represent the data. Another way of putting it is that this is a **high-bias** model.\n",
- "\n",
- "2. As the model complexity grows, the training and validation scores diverge. This indicates that the model is **over-fitting** the data: it has so much flexibility, that it fits the noise rather than the underlying trend. Another way of putting it is that this is a **high-variance** model.\n",
- "\n",
- "3. Note that the training score (nearly) always improves with model complexity. This is because a more complicated model can fit the noise better, so the model improves. The validation data generally has a sweet spot, which here is around 5 terms.\n",
- "\n",
- "Here's our best-fit model according to the cross-validation:"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "model = PolynomialRegression(4).fit(X, y)\n",
- "plt.scatter(X, y)\n",
- "plt.plot(X_test, model.predict(X_test));"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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- ""
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- "cell_type": "markdown",
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- "source": [
- "### Detecting Data Sufficiency with Learning Curves\n",
- "\n",
- "As you might guess, the exact turning-point of the tradeoff between bias and variance is highly dependent on the number of training points used. Here we'll illustrate the use of *learning curves*, which display this property.\n",
- "\n",
- "The idea is to plot the mean-squared-error for the training and test set as a function of *Number of Training Points*"
- ]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "from sklearn.learning_curve import learning_curve\n",
- "\n",
- "def plot_learning_curve(degree=3):\n",
- " train_sizes = np.linspace(0.05, 1, 20)\n",
- " N_train, val_train, val_test = learning_curve(PolynomialRegression(degree),\n",
- " X, y, train_sizes, cv=5,\n",
- " scoring=rms_error)\n",
- " plot_with_err(N_train, val_train, label='training scores')\n",
- " plot_with_err(N_train, val_test, label='validation scores')\n",
- " plt.xlabel('Training Set Size'); plt.ylabel('rms error')\n",
- " plt.ylim(0, 3)\n",
- " plt.xlim(5, 80)\n",
- " plt.legend()"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [],
- "prompt_number": 27
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Let's see what the learning curves look like for a linear model:"
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com). Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_tutorial/)."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Validation and Model Selection"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "In this section, we'll look at *model evaluation* and the tuning of *hyperparameters*, which are parameters that define the model."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "/Users/jakevdp/anaconda/envs/python3.5/lib/python3.5/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
+ " warnings.warn(self.msg_depr % (key, alt_key))\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plot_learning_curve(1)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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TDuxezflHvo1/3XwT9408xFh+F2849HVAqtlF2y9+4ON7Pnu73t4wDLLRNBPT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\n+b0WY4BTJD0saWPp7KrmeKcAf5C0DngAuJ+692U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- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 28
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "This shows a typical learning curve: for very few training points, there is a large separation between the training and test error, which indicates **over-fitting**. Given the same model, for a large number of training points, the training and testing errors converge, which indicates potential **under-fitting**.\n",
- "\n",
- "As you add more data points, the training error will never increase, and the testing error will never decrease (why do you think this is?)\n",
- "\n",
- "It is easy to see that, in this plot, if you'd like to reduce the MSE down to the nominal value of 1.0 (which is the magnitude of the scatter we put in when constructing the data), then adding more samples will *never* get you there. For $d=1$, the two curves have converged and cannot move lower. What about for a larger value of $d$?"
+ }
+ ],
+ "source": [
+ "from __future__ import print_function, division\n",
+ "\n",
+ "%matplotlib inline\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "# Use seaborn for plotting defaults\n",
+ "import seaborn as sns; sns.set()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Validating Models\n",
+ "\n",
+ "One of the most important pieces of machine learning is **model validation**: that is, checking how well your model fits a given dataset. But there are some pitfalls you need to watch out for.\n",
+ "\n",
+ "Consider the digits example we've been looking at previously. How might we check how well our model fits the data?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.datasets import load_digits\n",
+ "digits = load_digits()\n",
+ "X = digits.data\n",
+ "y = digits.target"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's fit a K-neighbors classifier"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n",
+ " metric_params=None, n_jobs=1, n_neighbors=1, p=2,\n",
+ " weights='uniform')"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.neighbors import KNeighborsClassifier\n",
+ "knn = KNeighborsClassifier(n_neighbors=1)\n",
+ "knn.fit(X, y)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we'll use this classifier to *predict* labels for the data"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "y_pred = knn.predict(X)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Finally, we can check how well our prediction did:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1797 / 1797 correct\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plot_learning_curve(3)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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7Gqmp32+a5lXATyku6KJQbH6/q60l6zNBPUCygevPMX+x+f1IH4W67dqkCmnC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\nf201zryiO+G+AAAAAElFTkSuQmCC\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 29
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Here we see that by adding more model complexity, we've managed to lower the level of convergence to an rms error of 1.0!\n",
- "\n",
- "What if we get even more complex?"
+ }
+ ],
+ "source": [
+ "print(\"{0} / {1} correct\".format(np.sum(y == y_pred), len(y)))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "It seems we have a perfect classifier!\n",
+ "\n",
+ "**Question: what's wrong with this?**"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Validation Sets\n",
+ "\n",
+ "Above we made the mistake of testing our data on the same set of data that was used for training. **This is not generally a good idea**. If we optimize our estimator this way, we will tend to **over-fit** the data: that is, we learn the noise.\n",
+ "\n",
+ "A better way to test a model is to use a hold-out set which doesn't enter the training. We've seen this before using scikit-learn's train/test split utility:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "((1347, 64), (450, 64))"
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.cross_validation import train_test_split\n",
+ "X_train, X_test, y_train, y_test = train_test_split(X, y)\n",
+ "X_train.shape, X_test.shape"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we train on the training data, and validate on the test data:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "445 / 450 correct\n"
]
- },
- {
- "cell_type": "code",
- "collapsed": false,
- "input": [
- "plot_learning_curve(10)"
- ],
- "language": "python",
- "metadata": {},
- "outputs": [
- {
- "metadata": {},
- "output_type": "display_data",
- "png": 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qf6lXx53Rbk64q9olEUKUWGN3rImGtbbrBFRF5amD63GcmQ2+m4qJmuPrJtCz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\ngg==\n",
- "text": [
- ""
- ]
- }
- ],
- "prompt_number": 30
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "For an even more complex model, we still converge, but the convergence only happens for *large* amounts of training data.\n",
- "\n",
- "So we see the following:\n",
- "\n",
- "- you can **cause the lines to converge** by adding more points or by simplifying the model.\n",
- "- you can **bring the convergence error down** only by increasing the complexity of the model.\n",
- "\n",
- "Thus these curves can give you hints about how you might improve a sub-optimal model. If the curves are already close together, you need more model complexity. If the curves are far apart, you might also improve the model by adding more data.\n",
- "\n",
- "To make this more concrete, imagine some telescope data in which the results are not robust enough. You must think about whether to spend your valuable telescope time observing *more objects* to get a larger training set, or *more attributes of each object* in order to improve the model. The answer to this question has real consequences, and can be addressed using these metrics."
+ }
+ ],
+ "source": [
+ "knn = KNeighborsClassifier(n_neighbors=1)\n",
+ "knn.fit(X_train, y_train)\n",
+ "y_pred = knn.predict(X_test)\n",
+ "print(\"{0} / {1} correct\".format(np.sum(y_test == y_pred), len(y_test)))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This gives us a more reliable estimate of how our model is doing.\n",
+ "\n",
+ "The metric we're using here, comparing the number of matches to the total number of samples, is known as the **accuracy score**, and can be computed using the following routine:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.98888888888888893"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import accuracy_score\n",
+ "accuracy_score(y_test, y_pred)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This can also be computed directly from the ``model.score`` method:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.98888888888888893"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "knn.score(X_test, y_test)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Using this, we can ask how this changes as we change the model parameters, in this case the number of neighbors:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1 0.988888888889\n",
+ "5 0.988888888889\n",
+ "10 0.98\n",
+ "20 0.966666666667\n",
+ "30 0.966666666667\n"
]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "## Summary\n",
- "\n",
- "We've gone over several useful tools for model validation\n",
- "\n",
- "- The **Training Score** shows how well a model fits the data it was trained on. This is not a good indication of model effectiveness\n",
- "- The **Validation Score** shows how well a model fits hold-out data. The most effective method is some form of cross-validation, where multiple hold-out sets are used.\n",
- "- **Validation Curves** are a plot of validation score and training score as a function of **model complexity**:\n",
- " + when the two curves are close, it indicates *underfitting*\n",
- " + when the two curves are separated, it indicates *overfitting*\n",
- " + the \"sweet spot\" is in the middle\n",
- "- **Learning Curves** are a plot of the validation score and training score as a function of **Number of training samples**\n",
- " + when the curves are close, it indicates *underfitting*, and adding more data will not generally improve the estimator.\n",
- " + when the curves are far apart, it indicates *overfitting*, and adding more data may increase the effectiveness of the model.\n",
- " \n",
- "These tools are powerful means of evaluating your model on your data."
+ }
+ ],
+ "source": [
+ "for n_neighbors in [1, 5, 10, 20, 30]:\n",
+ " knn = KNeighborsClassifier(n_neighbors)\n",
+ " knn.fit(X_train, y_train)\n",
+ " print(n_neighbors, knn.score(X_test, y_test))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We see that in this case, a small number of neighbors seems to be the best option."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Cross-Validation\n",
+ "\n",
+ "One problem with validation sets is that you \"lose\" some of the data. Above, we've only used 3/4 of the data for the training, and used 1/4 for the validation. Another option is to use **2-fold cross-validation**, where we split the sample in half and perform the validation twice:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "((898, 64), (899, 64))"
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "X1, X2, y1, y2 = train_test_split(X, y, test_size=0.5, random_state=0)\n",
+ "X1.shape, X2.shape"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "0.983296213808\n",
+ "0.982202447164\n"
]
}
],
- "metadata": {}
+ "source": [
+ "print(KNeighborsClassifier(1).fit(X2, y2).score(X1, y1))\n",
+ "print(KNeighborsClassifier(1).fit(X1, y1).score(X2, y2))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Thus a two-fold cross-validation gives us two estimates of the score for that parameter.\n",
+ "\n",
+ "Because this is a bit of a pain to do by hand, scikit-learn has a utility routine to help:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "0.97614938602520218"
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from sklearn.cross_validation import cross_val_score\n",
+ "cv = cross_val_score(KNeighborsClassifier(1), X, y, cv=10)\n",
+ "cv.mean()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### K-fold Cross-Validation\n",
+ "\n",
+ "Here we've used 2-fold cross-validation. This is just one specialization of $K$-fold cross-validation, where we split the data into $K$ chunks and perform $K$ fits, where each chunk gets a turn as the validation set.\n",
+ "We can do this by changing the ``cv`` parameter above. Let's do 10-fold cross-validation:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "array([ 0.93513514, 0.99453552, 0.97237569, 0.98888889, 0.96089385,\n",
+ " 0.98882682, 0.99441341, 0.98876404, 0.97175141, 0.96590909])"
+ ]
+ },
+ "execution_count": 14,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "cross_val_score(KNeighborsClassifier(1), X, y, cv=10)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This gives us an even better idea of how well our model is doing."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Overfitting, Underfitting and Model Selection"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now that we've gone over the basics of validation, and cross-validation, it's time to go into even more depth regarding model selection.\n",
+ "\n",
+ "The issues associated with validation and \n",
+ "cross-validation are some of the most important\n",
+ "aspects of the practice of machine learning. Selecting the optimal model\n",
+ "for your data is vital, and is a piece of the problem that is not often\n",
+ "appreciated by machine learning practitioners.\n",
+ "\n",
+ "Of core importance is the following question:\n",
+ "\n",
+ "**If our estimator is underperforming, how should we move forward?**\n",
+ "\n",
+ "- Use simpler or more complicated model?\n",
+ "- Add more features to each observed data point?\n",
+ "- Add more training samples?\n",
+ "\n",
+ "The answer is often counter-intuitive. In particular, **Sometimes using a\n",
+ "more complicated model will give _worse_ results.** Also, **Sometimes adding\n",
+ "training data will not improve your results.** The ability to determine\n",
+ "what steps will improve your model is what separates the successful machine\n",
+ "learning practitioners from the unsuccessful."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Illustration of the Bias-Variance Tradeoff\n",
+ "\n",
+ "For this section, we'll work with a simple 1D regression problem. This will help us to\n",
+ "easily visualize the data and the model, and the results generalize easily to higher-dimensional\n",
+ "datasets. We'll explore a simple **linear regression** problem.\n",
+ "This can be accomplished within scikit-learn with the `sklearn.linear_model` module.\n",
+ "\n",
+ "We'll create a simple nonlinear function that we'd like to fit"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def test_func(x, err=0.5):\n",
+ " y = 10 - 1. / (x + 0.1)\n",
+ " if err > 0:\n",
+ " y = np.random.normal(y, err)\n",
+ " return y"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now let's create a realization of this dataset:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "def make_data(N=40, error=1.0, random_seed=1):\n",
+ " # randomly sample the data\n",
+ " np.random.seed(1)\n",
+ " X = np.random.random(N)[:, np.newaxis]\n",
+ " y = test_func(X.ravel(), error)\n",
+ " \n",
+ " return X, y"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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HP/6xLrvssozXtbd3OqsyxxUVxS7YeyqVUiKxT9LpZygHcWkgU/9hQP/0H9b+w9y75PxD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\nooAAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X, y = make_data(40, error=1)\n",
+ "plt.scatter(X.ravel(), y);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now say we want to perform a regression on this data. Let's use the built-in linear regression function to compute a fit:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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o9dCdvoo6s6Uu895xPTF5eBQ6B/g6e3hE5MIYzOTWOtJ5faM6sxmHzxYiRavH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\ngg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X_test = np.linspace(-0.1, 1.1, 500)[:, None]\n",
+ "\n",
+ "from sklearn.linear_model import LinearRegression\n",
+ "from sklearn.metrics import mean_squared_error\n",
+ "model = LinearRegression()\n",
+ "model.fit(X, y)\n",
+ "y_test = model.predict(X_test)\n",
+ "\n",
+ "plt.scatter(X.ravel(), y)\n",
+ "plt.plot(X_test.ravel(), y_test)\n",
+ "plt.title(\"mean squared error: {0:.3g}\".format(mean_squared_error(model.predict(X), y)));"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We have fit a straight line to the data, but clearly this model is not a good choice. We say that this model is **biased**, or that it **under-fits** the data.\n",
+ "\n",
+ "Let's try to improve this by creating a more complicated model. We can do this by adding degrees of freedom, and computing a polynomial regression over the inputs. Scikit-learn makes this easy with the ``PolynomialFeatures`` preprocessor, which can be pipelined with a linear regression.\n",
+ "\n",
+ "Let's make a convenience routine to do this:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.preprocessing import PolynomialFeatures\n",
+ "from sklearn.linear_model import LinearRegression\n",
+ "from sklearn.pipeline import make_pipeline\n",
+ "\n",
+ "def PolynomialRegression(degree=2, **kwargs):\n",
+ " return make_pipeline(PolynomialFeatures(degree),\n",
+ " LinearRegression(**kwargs))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we'll use this to fit a quadratic curve to the data."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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CkmeGWG1lPe7KJmqCqbuQS8pr8PXOczh5qQjOjkpMHR6OB+/paFfLaHINabIX\nbfzc8NL0PjiaWoD8kiqb/DtlMBPdgRACv5zKQfyei6iu0aNHqC/mje5u1V1j1sBlLMnWKBQK3NM9\nyNplmIzBTNSAwtJqfLXjHM6kl0Dl7IC5oyIwLDrYLJNJpDiRqrHw5XnCRK2LwUxUh1EI7Dueje/3\nXkSNzghfZyNemtMfwYHeZvn+d3PBhdbUVPja4kxyIlvFYCa6oahUg39vO4tzmddg1BtxcncfZKe0\nx8XEu5/BXXdUvGDBmNqvS/lYLsOXSBoYzCR7QggkncnF/+0+j+oaA/xdjIhf8QBqKq/PqLzb8Lx1\nVLxt2xqsWTPO6qNiIrINtjddjciMKqp1+GxjMlZuTYFRAI+M7o6ePkbUVJoeovVHxU5ITJxd75hy\nTMwqAFoA2hvHcmPN0QoR2QmOmEm2Tl8uwn+2p6C0QouuHbzx6NieCPRxxT0Rfti40TKzkDmRioia\nwgVGWoGcFxgApNd/jdaAtXsvYu/xbDgoFZgU2xmjBoZAqfx9xnVLZk7fusrYsGHfyHpXttRe/9Ym\n5/7l3DvABUaImiUzrxwrNp9BTlEV2ge6489je9520QmgZROhbh0VL1gwE+XluhbVTUTywWAmWRBC\nYM9v2UjYcxF6gxFxAzpi6vDOcHJ0sMjz1Q12lUrFYCaiZmMwk92rqNZh1fYUHL9QCA9XJzw6Ngq9\nwwOsXRYRUYMYzGTXUjNL8MWWsygpr0H3EB/8eVwkfD1drF0WEdEdMZjJLhmNAlsOpmPzgTQooMDk\n2M54aFBovQleRERSxGAmu1NaqcWKTck4l3kN/l4ueHx8FLp0MM+SmkRElsZgJrtyPusaPtuUjNIK\nLfp2DcAfx/SAu8qp6Q2JiCSCwUx2QQiBHw9nYd2+SwCAh//QBSMHdjTL1aCIiFoTg5lsXpVGj/9s\nT8Fv5wvg7eGMJydEoVtHH2uXRURkEgYz2bTMvHIs35iM/JJqdA/xwePjI+HtwVnXRGS7GMxksw4m\n5+CrnanQ6Y0YExOKiUPD4KDkdVmIyLYxmMnmGIxGfL/3EnYdyYKriyOenBCFPl0bXjCkJWteExFZ\nA4OZbMrNyzSmZJSgnb8bFkzpjbZ+bg0+9tbrIm/YsAoJCbyaExFJG/f7kc3Iyq/A26uPICWjBH26\nBOBvcwfcMZSB26+LnJQ0v3b0TEQkVRwxk004ei4fK7edhVZnxPghnTD+vjAoeSoUEdkhjphJ0oxC\n4IfES1g427/SAAAaYUlEQVS+MRkKKPD0pChMHNq5WaGsVsciJmYVAC0ALWJiVkOtjrV4zURELcER\nM0lWdY0eX2w+g5OXihDoo8KCKb3RIdCj2dvfel1ktZrHl4lI+hjMJEmFpdX4eN0pZBdUIrKTLx6f\nEAUP17tfWrPudZGJiGwBg5kk59LVUiz94TTKKrW4v18HqB/owvOTiUg2GMwkKYdT8vDvbSnQG4yY\n+UBXPDCgo7VLIiJqVQxmkgQhBLYmZWDD/stwcXbAc5N6o3d4w4uGEBHZMwYzWZ1Ob8RXO8/hYHIu\n/L1c8NzUaHQIav4kLyIie2JyMH/xxRfYs2cPdDodZs6ciSlTppizLpKJ8iotlq0/jfNXShHWzgvP\nTunFi1AQkayZFMyHDx/G8ePHER8fj6qqKvznP/8xd10kA/klVfhw7UnklVTjnu5B+NOYHnB2crB2\nWUREVmVSMP/yyy/o1q0bnnrqKVRWVmLhwoXmrovsXFpOGT7+/iTKqnR4aFAoJg9r3qIhRET2zqRg\nLikpwdWrV7FixQpkZWXhySefxM6dO81dG9mp05eLsHxDMrQ6A2Y/2A0j+nWwdklERJJhUjD7+Pgg\nPDwcjo6OCAsLg4uLC4qLi+Hn59fodoGBniYVaQ/k3Dvwe/8/Hc7E0nWn4KhU4NX59yCmV7CVK2sd\nfP3Zv1zJuXdTmRTM/fv3x5o1azB//nzk5eVBo9HA19e3ye0KCspNeTqbFxjoKYve73Tt48BAT+Tn\nl9WeDuWucsSzU3ujS1t5/Fzk8vrfCfuXb/9y7h0w/UOJScE8fPhwHD16FFOnToUQAm+88QYUPD4o\na41d+9hgFFiz6zz2Hc+Gv5cKLzwcjeAAdytXTEQkTSafLvXyyy+bsw6ycfWvfYwb1z7eghmz7se7\nqw/j0JlcdAzywPPTouHrydOhiIjuhAuMUIPutFv6buiNwJKEE7hwpRQ9Qn3xzORecHXhrxwRUWN4\nZQC6zc3d0gsXjsfCheMxffoGaDSaRre59drHg4d+hUzhjQtXSjG0T3u88HA0Q5mIqBn4Tkm3udNu\n6cYun1j32scaA5CuD8GVgkoM7xOMJ6ZEYvmy7QBMH30TEckFR8xkNiqVCiPHDcEFjTvySzR4aFAo\npg0LxZiHvrur0TcRkZwxmOk2t+6WjolZDbU6tsnt0nPL8O43v6GkvAbThodj6vBwJCT8jMTEObg+\n+na6Mfreb+EOiIhsF3dl023q7pYGALV6UpO7n1MzS/DxulOo0Rowb1QEhvVp3xqlEhHZHQYzNUil\nUjV6TLmuExcL8dnGZBiNAo9PiMTAHm1q71OrY7Ft2xokJs4GgBuj70kWqZmIyB4wmKlFDqfk4cst\nZ+GgVODZqb3Rq7N/vftVKhV27pyJpUubP/omIpIzBrMdMsc5yM2RlJyLldvOwsXJAc9Pi0a3jj4N\nPu5uRt9ERHLHYLYzjS2NaU4/n7yK1TvOwdXFES9O74POwV5m/f5ERHLFWdl2pv45yJaZBb33eDZW\n7TgHN5UjXpnRl6FMRGRGHDHTXdl9JAvf/fcCPN2c8Iq6LzoEeVi7JCIiu8IRs50x9Rzk5tjxawa+\n++8FeHs44/mpkfhp+0GsXr2LC4YQEZkRR8x2xpRzkOu608SxzQfSsPHnNPh6uuC5yT2x4ImdFj+O\nTUQkRwxmO2TqLOiGJo7Fx0/EjiM52HowHQHeKrwyoy+2bfz5rtfSJiKi5mEwU62GLl7x3sptyKxU\nIsjHFa/M6At/b46KiYgsiceY6Y663nsRmZVKBPqosHDm76FsyePYRERyxxEz1VKrY7FhwyokJc1H\nl4GXEDHkAvy9XLBwRj/4ef0+Um7pcWwiIrozBrMdaemKXzcD9/2VW5FW4QA/T2csmtmvwd3XXM2L\niMgyGMx2wlwrfiWeyr8eyl4uWDizHwJ8XC1RLhER3QGPMdsJc6z4tftIFhL2XISvpwtemdEXQQxl\nIqJWxxGzHdPptFi9eheApndt//fYldrFQxbO6Is2vm6tVSYREdXBEbOduHWm9L33foktW0qxcOF4\nLFw4HtOnb7jjCl37TmTj/3afh5f7jVD2YygTEVkLR8x24taZ0jqdP157bQqaWgQk6Uwu1uxMvb72\n9Yy+aOfv3tqlExFRHQxmO1J3pvTNXdiNOX6+AP/emgJXF0e8NL0P2gcwlImIrI27su1UU4uAnEkr\nxmebkuHkqMTzD0cjpI2n1WolIqLfccRspxpbBOR81jUsXX8KgALPTumFLu29rVgpERHVxWC2Yw0t\nApKRW46P152EwSDw9KRe6NHJz0rVERFRQ7grW0ayCyvxQcIJaGoMeHRsT/TpGmDtkoiI6BYMZpnI\nL6nCv+KPo6Jah3mju+Penm2sXRIRETWAwSwDJeU1+Ff8CZRWaKG+vytio4OtXRIREd0Bg9nOVWp0\nWLL2BApLNZh4XxgevKejtUsiIqJGMJjtWI3OgI/XnUJ2QSXu798B44Z0snZJRETUBAaznTIYjfh8\nYzIuXinFwB5BmPFAVygUCmuXRURETWAw2yEhBFbvOIeTl4oQGeaHR8f2hJKhTERkExjMdmjdvks4\ncDoXYe088fSkKDg68GUmIrIVLXrHLioqwvDhw5GWlmaueqiFdh7KxI5DmWjr54bnpkVD5cw1ZIiI\nbInJwazX6/HGG280eo1fal0HTudg7d6L8PV0wYvTo+Hl5mztkoiI6C6ZHMzvvfceZsyYgaCgIHPW\nQyY6dakQq7afg7vKES8+HI0Ab1drl0RERCYwKZjXr18Pf39/DBkyBEIIc9dEdyktpwzLNybD0UGB\n56ZGo32gh7VLIiIiEymECck6e/bs2lNvzp07h7CwMHz22Wfw9/c3e4HUuNyiSrzyyc8oq6zBX+cP\nxL1R7axdEhERtYBJwVzXnDlz8PbbbyMsLKzJxxYUlLfkqWxWYKDnHXvXaDSIj98P4Po1lO/mmH1F\ntQ7vrDmGvOIqzH6wG0b062CWes2tsf7lgP2zf7n2L+fegev9m6LFU3a5aIXpNBoNpk/fgKSkRwAA\nGzasQkLCpGaFs1ZnwCc/nEJecRVG3xsi2VAmIqK70+ITXL/++utmjZbpdvHx+2+EshMAJyQlza8d\nPTfGKARWbj1bu6rXlOHhFq+ViIhaB1eesEFr91zE0dQCRHT0wZ/GcFUvIiJ7wmC2IrU6FjExqwBo\nAWgRE7MaanVso9vsPpKFXUey0M7fDc9M6QUnR76ERET2hMtCWZFKpUJCwiTEx28BAKjVjR9fPnou\nH/H/vQBvd2e88HA03FVOrVUqERG1EgazlalUKsyf/2CTj7uYXYovt56Fs5MDnp/GBUSIiOwV94Pa\ngIJr1Vj6wykYDAJPToxCaFvTpuATEZH0MZglrkqjx8frTqG8SodZcV3RO5yLuBAR2TMGs4QZjEZ8\ntikZVwsr8cCADvgDz1UmIrJ7DGaJEkLg290XcCatGL3D/aEe0dXaJRERUStgMEvUT0evYO/xbHQI\n9MDj4yOhVPJcZSIiOWAwS9CJi4WI33P9tKjnp/WGqwsnzxMRyQWDWWIy88qxYtMZODko8ezU3vDz\nav5FLYiIyPYxmCXkWkUNPl53CjU6Ax4d2xNh7bysXRIREbUyBrNEaHUGLP3hFErKazBlWGcM6B5k\n7ZKIiMgKGMwSIITAqh3nkJZTjiG92uKhQaHWLomIiKyEwSwB23/NwKGzeejS3htzR3bnNa6JiGSM\nwWxlJy4WYn3iZfh6uuDpSVG8WhQRkcwxBazoamElvth8Bo6OSiyY0gveHi7WLomIiKyMwWwllRod\nPvnhFDRaAx55qDs6teUMbCIiYjBbhcFoxOcbk5FfUo0xMaEY1LOttUsiIiKJYDBbwdo9l3AmvQTR\n4f6YFNvZ2uUQEZGEMJhb2S+ncrD7aBba+bvhsfGRUHIGNhER1cFgbkUXs0vx9Y/n4K5yxLNTuQY2\nERHdjsHcSorLNPh0/WkYjAJPTIhCG183a5dEREQSxGBuBVqdAcs2nEZZpRbqEV0RGeZn7ZKIiEii\nGMyt4IuNp5GWU46YyLZ4YEAHa5dDREQSxmC2sP0nr+LHXzMQEuSBeaMiuNwmERE1isFsQZevluGb\nXanwdHPC05N7wdnJwdolERGRxHFasIWUVWqxbMNpGAwCL88egEAf12Ztp9FoEB+/HwCgVsdCpVJZ\nskwiIpIYBrMFGIxGfL4pufbayv0iglBQUN7kdhqNBtOnb0BS0iMAgA0bViEhYRLDmYhIRrgr2wJ+\n2HcZ5zKvoV+3wLu6tnJ8/P4boewEwAlJSfNrR89ERCQPDGYzO5ySh52HM9HWzw1/GtODk72IiOiu\nMJjN6EpBBVZtPwcXZwc8M7nXXa/spVbHIiZmFQAtAC1iYlZDrY61SK1ERCRNPMZsJlUaHZatP40a\nnQFPT4pCcID7XX8PlUqFhIRJiI/fAgBQq3l8mYhIbhjMZmAUAiu3piCvpBqjB4Wgf0SQyd9LpVJh\n/vwHzVgdERHZEu7KNoOdhzJx4mIheoT6YjIv40hERC3AYG6h1MwSrE+8DB8PZzw+PhIOSv5IiYjI\ndCbtytbr9fjrX/+K7Oxs6HQ6PPHEExgxYoS5a5O80kotPt98BgDwxIQoeLk7N2s7LiJCRER3YlIw\nb968Gb6+vli8eDFKS0sxceJE2QWz0SjwxeYzKK3Q4uE/dEG3jj7N2o6LiBARUWNM2u86evRoPPfc\ncwAAo9EIR0f5zSHb+EsaUjJK0LdrAEYO7Njs7biICBERNcakRHV1vb7uc0VFBZ577jm88MILZi1K\n6k5fLsLWg+kI8FZxEREiIjIrhRBCmLJhTk4OnnnmGcyePRuTJk0yd12SVVBSjeeW7EN1jR7vLxiK\nLs3chX2TRqPBqFHfIjFxNgBg2LBvsHPnTO7KJiIiACYGc2FhIebOnYvXX38dgwYNavZ2zbmQg5Tp\nDUa893+/4dLVMswZGYE/9G3frO0CAz3r9S63yV+39i837J/9y7V/OfcOXO/fFCbtyl6xYgXKysqw\nfPlyLFu2DAqFAitXroSzc/NmJduq7/dewqWrZRjUsw2G9wk2+ftwEREiIroTk4L5tddew2uvvWbu\nWiTt6Ll87D6ahXb+bpg7KoLHlYmIyCK4GkYz5JVUYdWOFDg7KfHUpF5QOctvFjoREbUOBnMTdHoj\nPt94BtU1BswdGYH2JlycgoiIqLkYzE1Yt+8SMvLKcV+vdhgc1c7a5RARkZ1jMDfixIXC2uPKs+K6\nWbscIiKSAQbzHRSXafDvbWfh6KDEExOi4OLsYO2SiIhIBhjMDTAYjfhi8xlUavSYcX8XdAzysHZJ\nREQkEwzmBmw5kI7zV0rRPyIQw5u5iAgREZE5MJhvkZJRgi0H0uHvpcIjo7vzfGUiImpVDOY6yqq0\n+HLLGSgUCjwxIRJuKidrl0RERDLDYL7BKAT+sy0F1yq0mDysM8Lbe1u7JCIikiEG8w27j2Th1KUi\nRIb5YdS9IdYuh4iIZIrBDCAtpwzr9l2Ct7szHh3bE0oeVyYiIiuRfTBX1+ixYtMZGI0Cj47rCW93\n+75CFhERSZvsg/nbn84j/1o1Rg8KRWQnP2uXQ0REMifrYD6ckocDp3PRqa0nJg4Ns3Y5RERE8g3m\nolINvt6ZCmcnJR4bHwlHB9n+KIiISEJkmUZGo8CXW8+iqkaPmQ90Q1s/N2uXREREBECmwbzjUAbO\nZ11D/26BGNqbl3IkIiLpkF0wp+WUYePPafDxcMY8LrlJREQSI6tg1mj1+GLzjVOjxvaEhyuX3CQi\nImmRVTB/99MF5JVUY+S9IejJU6OIiEiCZBPMR8/l4+dTOQhp44FJQztbuxwiIqIGySKYi8s0+Grn\nOTg7KvH4+Eg4OcqibSIiskF2n1BGIbBy61lUavRQ398V7fzdrV0SERHRHdl9MGflVeBc5jX07RqA\nYX2CrV0OERFRoxytXYCldWzjgacmRiGqsx9PjSIiIsmz+2BWKhQY0D3I2mUQERE1i93vyiYiIrIl\nDGYiIiIJYTATERFJCIOZiIhIQhjMREREEsJgJiIikhAGMxERkYQwmImIiCSEwUxERCQhJq38JYTA\nm2++idTUVDg7O+Odd95Bx44dzV0bERGR7Jg0Yv7pp5+g1WoRHx+Pl156Ce+++6656yIiIpIlk4L5\n2LFjGDp0KAAgOjoaycnJZi2KiIhIrkwK5oqKCnh6etbednR0hNFoNFtR9kSj0eDzz7dh9epd0Gg0\n1i6HiIgkzqRjzB4eHqisrKy9bTQaoVQ2nfGBgZ5NPsaeaDQaTJv2PRIT5wAAtm1bg507Z0KlUlm5\nstYnt9f+Vuyf/cuVnHs3lUnB3K9fP+zduxejRo3CiRMn0K1bt2ZtV1BQbsrT2azVq3fdCGUnAEBi\n4mwsXboF8+c/aN3CWllgoKfsXvu62D/7l2v/cu4dMP1DiUnBHBcXhwMHDkCtVgMAJ38RERGZiUnB\nrFAo8NZbb5m7FrujVsdiw4ZVSEqaDwCIiVkNtXqSdYsiIiJJMymYqXlUKhUSEiZh27bdKC/XQK2e\nJMvjy0RE1HwMZgtTqVR44okxsj7OQkREzcclOYmIiCSEwUxERCQhDGYiIiIJYTATERFJCIOZiIhI\nQhjMREREEsJgJiIikhAGMxERkYQwmImIiCSEwUxERCQhDGYiIiIJYTATERFJCIOZiIhIQhjMRERE\nEsJgJiIikhAGMxERkYQwmImIiCSEwUxERCQhDGYiIiIJYTATERFJCIOZiIhIQhjMREREEsJgJiIi\nkhAGMxERkYQwmImIiCSEwUxERCQhDGYiIiIJYTATERFJCIOZiIhIQhjMREREEsJgJiIikhAGMxER\nkYQwmImIiCSEwUxERCQhjqZsVFFRgZdffhmVlZXQ6XT4y1/+gj59+pi7NiIiItkxKZhXrVqFwYMH\nY+7cuUhLS8NLL72E9evXm7s2IiIi2TEpmB955BE4OzsDAPR6PVxcXMxaFBERkVw1Gczr1q3DV199\nVe9r7777LqKiolBQUICFCxfitddes1iBREREcqIQQghTNkxNTcXLL7+MRYsW4b777jN3XURERLJk\nUjBfvHgRCxYswEcffYSIiAhL1EVERCRLJgXzU089hdTUVLRv3x5CCHh5eWHZsmWWqI+IiEhWTN6V\nTURERObHBUaIiIgkhMFMREQkIQxmIiIiCbFIMNfU1ODZZ5/FrFmz8Pjjj6OkpOS2x6xevRoPP/ww\npk+fbjcTx4QQeOONN6BWqzF37lxkZWXVu3/Pnj2YOnUq1Go1vv/+eytVaTlN9b9161Y8/PDDmDlz\nJt58803rFGkhTfV+0+uvv44lS5a0cnWW11T/p06dwqxZszBr1iw899xz0Gq1VqrUMprqf/PmzZg8\neTKmTZuG7777zkpVWtbJkycxZ86c275u7+97N92pf5Pe94QFrFq1SixdulQIIcS2bdvEP//5z3r3\nZ2ZmiilTptTeVqvVIjU11RKltKpdu3aJv/zlL0IIIU6cOCGefPLJ2vt0Op2Ii4sT5eXlQqvViilT\npoiioiJrlWoRjfWv0WhEXFycqKmpEUII8eKLL4o9e/ZYpU5LaKz3m7777jsxffp08cEHH7R2eRbX\nVP8TJkwQmZmZQgghvv/+e5GWltbaJVpUU/0PGTJElJWVCa1WK+Li4kRZWZk1yrSYL7/8UowdO1ZM\nnz693tfl8L4nxJ37N/V9zyIj5mPHjiE2NhYAEBsbi6SkpHr3BwcHY+XKlbW37WVZz2PHjmHo0KEA\ngOjoaCQnJ9fed+nSJYSGhsLDwwNOTk7o378/jhw5Yq1SLaKx/p2dnREfH2+3S7k21jsAHD9+HKdP\nn4ZarbZGeRbXWP9paWnw8fHBqlWrMGfOHJSWlqJTp05WqtQymnr9u3fvjtLSUtTU1AAAFApFq9do\nSaGhoQ3u+ZTD+x5w5/5Nfd8zaa3suhpasjMgIAAeHh4AAHd3d1RUVNS738HBAT4+PgCA9957Dz17\n9kRoaGhLS7G6iooKeHp61t52dHSE0WiEUqm87T53d3eUl5dbo0yLaax/hUIBPz8/AMCaNWtQXV2N\nwYMHW6tUs2us94KCAnz66adYvnw5tm/fbsUqLaex/ktKSnDixAm88cYb6NixIx5//HFERUXh3nvv\ntWLF5tVY/wDQtWtXTJkyBW5uboiLi6t9f7QXcXFxyM7Ovu3rcnjfA+7cv6nvey0O5qlTp2Lq1Kn1\nvrZgwQJUVlYCACorK+u9MDdptVq8+uqr8PT0tJvjjR4eHrV9A6j3h+nh4VHvA0plZSW8vLxavUZL\naqx/4PpxuMWLFyMjIwOffvqpNUq0mMZ637lzJ65du4Y///nPKCgoQE1NDTp37oyJEydaq1yza6x/\nHx8fhISEICwsDAAwdOhQJCcn21UwN9Z/amoq9u3bhz179sDNzQ0vv/wyfvzxR4wcOdJa5bYaObzv\nNcWU9z2L7Mru168fEhMTAQCJiYkYMGDAbY958skn0aNHD7z55pt2s1unbt8nTpxAt27dau8LDw9H\nRkYGysrKoNVqceTIEbu7hnVj/QPA3//+d+h0Oixfvrx21469aKz3OXPm4IcffsDXX3+Nxx57DGPH\njrWrUAYa779jx46oqqqqnRB17NgxdOnSxSp1Wkpj/Xt6esLV1RXOzs61I6iysjJrlWpR4pb1quTw\nvlfXrf0Dpr3vtXjE3JAZM2Zg0aJFmDlzJpydnfHBBx8AuD4TOzQ0FAaDAUePHoVOp0NiYiIUCgVe\neuklREdHW6KcVhMXF4cDBw7UHkd89913sXXrVlRXV2PatGl49dVX8cc//hFCCEybNg1BQUFWrti8\nGus/MjIS69evR//+/TFnzhwoFArMnTsXDzzwgJWrNo+mXnt711T/77zzDl588UUAQN++fTFs2DBr\nlmt2TfV/c1aus7MzQkJCMGnSJCtXbBk3B1lyet+r69b+TX3f45KcREREEsIFRoiIiCSEwUxERCQh\nDGYiIiIJYTATERFJCIOZiIhIQhjMREREEsJgJiIikhAGMxERkYT8PxLgBEPpYSAsAAAAAElFTkSu\nQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "model = PolynomialRegression(2)\n",
+ "model.fit(X, y)\n",
+ "y_test = model.predict(X_test)\n",
+ "\n",
+ "plt.scatter(X.ravel(), y)\n",
+ "plt.plot(X_test.ravel(), y_test)\n",
+ "plt.title(\"mean squared error: {0:.3g}\".format(mean_squared_error(model.predict(X), y)));"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This reduces the mean squared error, and makes a much better fit. What happens if we use an even higher-degree polynomial?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 21,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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4dFTvgF4jJ2cTW768nTkT1mOJLWHjlmxycj5hyZI5mmXMQj8SmDWiKJ6OHsmY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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "model = PolynomialRegression(30)\n",
+ "model.fit(X, y)\n",
+ "y_test = model.predict(X_test)\n",
+ "\n",
+ "plt.scatter(X.ravel(), y)\n",
+ "plt.plot(X_test.ravel(), y_test)\n",
+ "plt.title(\"mean squared error: {0:.3g}\".format(mean_squared_error(model.predict(X), y)))\n",
+ "plt.ylim(-4, 14);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "When we increase the degree to this extent, it's clear that the resulting fit is no longer reflecting the true underlying distribution, but is more sensitive to the noise in the training data. For this reason, we call it a **high-variance model**, and we say that it **over-fits** the data."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Just for fun, let's use IPython's interact capability (only in IPython 2.0+) to explore this interactively:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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2JjZufBFlZZfPkne+uhn5xdYwPllu3cNQABgxOBzpGjXGa9RQRwT1a71E5BoM\nZvII3fUzy7Cqk1KpxKefPoiZM19CWdlvEBbbgAnTP4PWqMaeN78BAPj6KDAqMcoaxskxCA8N7Nca\nicj1GMzkNVx9uNBiEahsBJY8fSO+LvoPDBYFgFDUNBiQplEjXaPG2BHRCFFyfXMib8ZgJo8g65Wt\n5jYL8n+owJf7T6FQq0ND+9KJQYH+mDQi2tpjnBiNwAD3WTqRiJyLwUweQYZD1R0MxjYcLrMunVh0\nrBqt7T3GYcH+mDYuDukaNUYmRMLPlz3GRHQ5BjN5DFceqm7Wm1B0rAoF2iocPl4No9naYxwdpsSP\nr0/ANUPCMSI+HD4+jr2SmuThqS1P1P8YzOR0nro4Qn2TAYXt6xj/cPJCj/Gg6GCkp6iRronF0AGh\niI0N8+peTm/A+a7JkRjM5FR6vR7z5r2H3butE2q4+wZLV9dq6zEuPVOPjtl5hg1UIb19wo9B0SEu\nrZH6n4yrnJH7YjCTU+Xl7WkPZffcYAkhcK66BQXFlcjX6nCqogkAoFAAyUMi2nuMYxATzh5jInIM\nBjPRJYQQOFHeaJvwo6KmBYC1x3jM8Gikp6gxbkQMwkICXFwpyULWrgByTwxmcqrs7Ezs3LkVu3ff\nA0DeDVabxYKS0/Uo0OpQUKJDTYMBABDg79N+vliNsUkxCFbyvwxdTqauAHJ/3MqQUymVSnzyyd1Y\nv16+DZbJbMHRk9alEwtLqtDUau0xDg70s67WpFFjVGIUAvzZY0zdc/UENuQ5GMzkdDJtsPRGMw4f\nr2nvMa6C3tgGAAgPCcCN4+ORplEjZWgEe4yJyGUYzOTxmlqtPcb5xTocOVEDU3uPcUy4sn3Cj1gM\njw+Dj4NXayIisgeDmZymY8IFlUqJW2+d2K+HsOuaDChsb2v64WQdLO1rJ8arQ6xLJ2rUGBIb6vCl\nE4mI+orBTE5x6YQLGRnO71+urG1BgbYK+dpKlJ5tsN2fOCjM1mM8MCrYaa9PROQIDGZyiv6YcEEI\ngbO6ZuRrdSjQ6nC68kKP8cihEUhr3zOOCpPjYjMiop5gMFMnss/3axECZecbUNDeY1xZ2woA8PNV\nYGySdbWm1OQYhAWzx5iI3JPdwfzGG29g165dMJlMuPvuuzFnzhxH1kUu4Mj5fh054UKbxQLtqTrk\na61tTbWN1h7jQH9fXDcyFukpaowZHo2gQH7PJCL3Z9eW7Ntvv0VhYSHy8vLQ0tKCv/71r46ui1zA\nkYefL56LDWKAAAAVWklEQVRwwXrxV+8C3mRuw5ETtSgo1uHgsQs9xiFKP0wZMxDpmlhcOyySPcZE\n5HHsCub//ve/0Gg0eOCBB9Dc3Izly5c7ui7yAB39y2q1qkerK7UazDh0vBr5xTp8d7wahvYe44jQ\nAMxIi0e6Rg3N0Aj4+rDHmIg8l13BXFtbi3PnzuH111/H6dOncf/99+OTTz5xdG3Uz1wx329jixEH\nj1WhoFiHIydqYW6z9hjHRgQhbbx1KszEOPYYE5H3sCuYIyIikJSUBD8/PyQmJiIwMBA1NTWIiorq\n8nlqtcquIj2Be4xdhV27crF58+cAgMWLcx128dfF46+qa8X/O3we+w6dx+HSKrQvY4xhg8Iwecwg\nZIyNQ8JAlUf1GLvH5+88HL/3jt+bx24vu4I5PT0dW7duxeLFi1FRUQG9Xo/IyMhun+eti8X39FCu\nLObMyQQANDaa0Nho6vPvU6tVOFxcYWtrOn7uQo9xUnyYra1pQOSFHuOqqqY+v64s3O3zdzSO33vH\n781jB+z/UmJXME+fPh0HDhzA3LlzIYTA6tWrPWrvhvpOCIHTlU0o0OpQVFqNk+XW/5w+CgWuSYhE\neooa45PViFQFurhSIiK52N1fsmzZMkfWQR7AIgSOn+voMa6Erk4PAPD388G4ETFIT1EjdUQMQoP8\nXVwpEZG82PhJfWJus6D4dB0Kiq3rGNc3GQEAygBfTLwmFukpsbhxYgKaGlpdXCkRkXtgMFOvGU1t\nKNRW4F+ff49qgwJmYT2NERrkj6ljByE9RY1rEqLg72dtawoK9IPnnDEmInIuBrMHc+T0mq0GM4pK\nrW1Nh45Xw2CyAPBBa6MSaKrBkw9dh1FJavYYExH1EYPZQ/Vmes2rBXhDixEHS6pQoNXh+xM1MLdZ\n+5qCfAWOfZuE8yWDUV8RAcCEmeM/wthkxy1QQUTkrRjMHqqn02teGuAf7NyCXy2diO+O10J7pg7t\nyxhj6IBQpGmsE3589u+9eO+/I22/m4iIHIfB7OXy8vbgux/mIem6MgxKPo+IgWq8t7sMCgBJg8OR\n3t5jrI4Isj1nwYJM/Otf/TtDGBGRt2Awe6iuptcUQuBURRPytTocqPLFjT+zHsa2tClQeSIGk8dW\n4IHcTESEXrnH+OIFKqyvZd8KVEREdDkGs4e6NDzvuusOnNLpUaA9jfxiHaob2nuMfX1hrGnBkW8m\novJ4LCak/R1L182GUtn1xB8dC1QQEZFjMZg9mJ9/ACZkpqNAq8P//CUfDc3WHuOgQF9MunYA0jTW\ndYyFxXTRxV/c+yUiciUGs4cxmNpw+HgNCrSVOHisGq0GMwBAFeyPzNS49h7jSPj5XtzW5Mu9XyIi\nSTCYPUCL3oSiY9Uo0Fp7jI1m69KJgT4CM8bH4bprBiJ5cAR8fDifORGR7BjMbqq+2YjCEh0KinU4\nerIWbe1rJw6IDELZIR3yv5qJ+sownMvYjLnbZjOUiYjcBIPZjVTVt6JAW4WC4kqUnKlHe4sxEgaq\nkK5RY9SwMPzx929j146xAEIBBFy1f5mIiOTEYJbcuapm6zrGxTqcrLAunagAkDw4HGkpsUjTxCAm\nPOiiiUJWtD9zK4C7Adg3RaYjp/MkIqKeYzBLRgiBE+WNKNDqUKDV4Xx1CwDA10eB0cOjkK5RY1yy\nGuEhAZ2ed+lMX8A9AD7G9defhckUjc2bP+txwPZmOk8iInIsBrMELBaBkjN1yNfqUKjVobrBAAAI\n8PdBeop15q3UpGgEK3s3BebttxegsjIOK1fOAdDzgO3pdJ5EROR4DGYXMZktOHqyFgXaShSWVKGx\nxQQACA70Q8aogUhPUWNUYhQC/X179PuuNNPX9ddf2x7KDFgiInfBYO5HBmMbDh23tjUVlVah1dAG\nAAgLCcD08fFI08Rg5NBLe4x75krTZHacI+6trqbzJCIi51II0bF+kPPpdI399VLSaNabcLyiCV8d\nOI3DZTUwtfcYx4Qrras1paiRFBfulHamC+eKFwOwBmxPzxU78uIvtVrllZ99B46f4/fW8Xvz2AHr\n+O3BPWYnqGsyoLDE2tb0w6k6W49xfEyILYyHxIZCoXBub3FfFpvgXNhERK7BYHaQyrpWFBRbr6Qu\nPXuhxzhxkApTxw9GSnwYBkWH9HtdDFgiIvfCYLaTEAJnq5ptYXyqsgkAoFAAKUMjkNa+jnFUmNLr\nD+cQEVHPMZh7wSIETpxvRL62EgXFOlTUtgIA/HwVGJsUjTSNGuOSYxAWHNDNbyIiIroyBnM32iwW\naE/X2yb8qG209hgH+vtiwshYpGvUGJsUjaBAvpVERNR3TJMrMJkt+P5EDfK1OhwsqUJTq7XHOETp\nhymjByItRY1Rw6IQ0MMeYyIiop5iMLdrNZhtPcbflVZDb7T2GIeHBuDGtHika9TQDImwq8eYiIio\np/oUzNXV1ZgzZw42bdqExMRER9XUb5paTThYUoUCrQ6Hy2pgbrP2GKsjlJg+Lh5pKWoMjwuDj5Pb\nmoiIiDrYHcxmsxmrV692u4UNahsNtvPFxafqYGmfX2WwuqPHOBaD1SFO7zEmIiK6EruD+fnnn8eC\nBQvw+uuvO7Iep6isa0V+sfVK6tJzDbb7k+LCbG1NA6KCXVghERGRlV3BvH37dkRHR2PKlCl47bXX\nHF2TQ52rasbqv36LNouAj0KBaxIibWEcqQp0dXlERESd2DVX9j333GM71PvDDz8gMTERGzduRHR0\ntMML7Cu9wYy8z4sxOFaFiaMGIiyEPcZERCSvPi9ikZOTg6effrpHF3956+xX3j7zF8fP8XP83jl+\nbx47YP8iFn3u/eFFUkRERI7T5z7mt99+2xF1UDtHLrdIRETuhxOMSOTC+sk/AwDs2LGpx+snExGR\nZ+A0VhLJy9vTHsr+APyxb99i294zERF5BwYzERGRRBjMEsnOzkRGxiYARgBGZGRsRnZ2pqvLIiKi\nfsRzzBJRKpXYtm028vI+AgBkZ/P8MhGRt2EwS0apVGLx4h+7ugwiInIRHsomIiKSCIOZiIhIIgxm\nIiIiiTCYiYiIJMJgJiIikgiDmYiISCIMZiIiIokwmImIiCTCYCYiIpIIg5mIiEgiDGYiIiKJMJiJ\niIgkwmAmIiKSCIOZiIhIIgxmIiIiiTCYiYiIJOLn6gK8nV6vR17eHgBAdnYmlEqliysiIiJXYjC7\nkF6vx/z5O7Bv388AADt2bMK2bbMZzkREXoyHsl0oL29Peyj7A/DHvn2LbXvPRETknRjMREREErEr\nmM1mM5YvX46FCxfirrvuwq5duxxdl1fIzs5ERsYmAEYARmRkbEZ2dqaryyIiIhey6xzzhx9+iMjI\nSKxduxb19fW44447MGPGDEfX5vGUSiW2bZuNvLyPAADZ2Ty/TETk7ewK5ltuuQU333wzAMBiscDP\nj9eQ2UupVGLx4h+7ugwiIpKEXYkaFBQEAGhqasIjjzyCRx991KFFEREReSu7L/46f/48Fi1ahNmz\nZ+MnP/mJI2siIiLyWgohhOjtk6qqqpCbm4tVq1Zh0qRJzqiLiIjIK9kVzM899xz+85//YPjw4RBC\nQKFQ4K233kJAQECXz9PpGu0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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from IPython.html.widgets import interact\n",
+ "\n",
+ "def plot_fit(degree=1, Npts=50):\n",
+ " X, y = make_data(Npts, error=1)\n",
+ " X_test = np.linspace(-0.1, 1.1, 500)[:, None]\n",
+ " \n",
+ " model = PolynomialRegression(degree=degree)\n",
+ " model.fit(X, y)\n",
+ " y_test = model.predict(X_test)\n",
+ "\n",
+ " plt.scatter(X.ravel(), y)\n",
+ " plt.plot(X_test.ravel(), y_test)\n",
+ " plt.ylim(-4, 14)\n",
+ " plt.title(\"mean squared error: {0:.2f}\".format(mean_squared_error(model.predict(X), y)))\n",
+ " \n",
+ "interact(plot_fit, degree=[1, 30], Npts=[2, 100]);"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Detecting Over-fitting with Validation Curves\n",
+ "\n",
+ "Clearly, computing the error on the training data is not enough (we saw this previously). As above, we can use **cross-validation** to get a better handle on how the model fit is working.\n",
+ "\n",
+ "Let's do this here, again using the ``validation_curve`` utility. To make things more clear, we'll use a slightly larger dataset:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 23,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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utba26rrrrtPKlSvdbhcAAJHkKDG/9NJLOueccyRJp59+ul577TVXGwUAQFQ5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\niRkAAIP8HzCDdmmmq9YEAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "X, y = make_data(120, error=1.0)\n",
+ "plt.scatter(X, y);"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 24,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.learning_curve import validation_curve\n",
+ "\n",
+ "def rms_error(model, X, y):\n",
+ " y_pred = model.predict(X)\n",
+ " return np.sqrt(np.mean((y - y_pred) ** 2))\n",
+ "\n",
+ "degree = np.arange(0, 18)\n",
+ "val_train, val_test = validation_curve(PolynomialRegression(), X, y,\n",
+ " 'polynomialfeatures__degree', degree, cv=7,\n",
+ " scoring=rms_error)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now let's plot the validation curves:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 25,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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Pl96bXRaqEUIIsVRVZbCvbWgHoC/dX/K8DKATQgixVFVlsG9sXY5SkGAA1ytegU4G0Akh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\nAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def plot_with_err(x, data, **kwargs):\n",
+ " mu, std = data.mean(1), data.std(1)\n",
+ " lines = plt.plot(x, mu, '-', **kwargs)\n",
+ " plt.fill_between(x, mu - std, mu + std, edgecolor='none',\n",
+ " facecolor=lines[0].get_color(), alpha=0.2)\n",
+ "\n",
+ "plot_with_err(degree, val_train, label='training scores')\n",
+ "plot_with_err(degree, val_test, label='validation scores')\n",
+ "plt.xlabel('degree'); plt.ylabel('rms error')\n",
+ "plt.legend();"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Notice the trend here, which is common for this type of plot.\n",
+ "\n",
+ "1. For a small model complexity, the training error and validation error are very similar. This indicates that the model is **under-fitting** the data: it doesn't have enough complexity to represent the data. Another way of putting it is that this is a **high-bias** model.\n",
+ "\n",
+ "2. As the model complexity grows, the training and validation scores diverge. This indicates that the model is **over-fitting** the data: it has so much flexibility, that it fits the noise rather than the underlying trend. Another way of putting it is that this is a **high-variance** model.\n",
+ "\n",
+ "3. Note that the training score (nearly) always improves with model complexity. This is because a more complicated model can fit the noise better, so the model improves. The validation data generally has a sweet spot, which here is around 5 terms.\n",
+ "\n",
+ "Here's our best-fit model according to the cross-validation:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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bu5t57aMdGIbBjOsH8sg071zhmn2iT2eeeONJdrudrKxlZGUtw263t32ASDPO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\nTJ8+/azvB/rnXp2W8nfrc8/wgtdff91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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "model = PolynomialRegression(4).fit(X, y)\n",
+ "plt.scatter(X, y)\n",
+ "plt.plot(X_test, model.predict(X_test));"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Detecting Data Sufficiency with Learning Curves\n",
+ "\n",
+ "As you might guess, the exact turning-point of the tradeoff between bias and variance is highly dependent on the number of training points used. Here we'll illustrate the use of *learning curves*, which display this property.\n",
+ "\n",
+ "The idea is to plot the mean-squared-error for the training and test set as a function of *Number of Training Points*"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [],
+ "source": [
+ "from sklearn.learning_curve import learning_curve\n",
+ "\n",
+ "def plot_learning_curve(degree=3):\n",
+ " train_sizes = np.linspace(0.05, 1, 20)\n",
+ " N_train, val_train, val_test = learning_curve(PolynomialRegression(degree),\n",
+ " X, y, train_sizes, cv=5,\n",
+ " scoring=rms_error)\n",
+ " plot_with_err(N_train, val_train, label='training scores')\n",
+ " plot_with_err(N_train, val_test, label='validation scores')\n",
+ " plt.xlabel('Training Set Size'); plt.ylabel('rms error')\n",
+ " plt.ylim(0, 3)\n",
+ " plt.xlim(5, 80)\n",
+ " plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's see what the learning curves look like for a linear model:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 28,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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uhMD8Ccfj6W1/wKNvP1Ww9033+v71WDTzPPiddQV5v+5IDwQEVEWBgAJFKFCE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\nCrsQQgihI1LYhRBCCB2Rwi6EEELoyH8Aqy5wZFrkWv0AAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_learning_curve(1)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "This shows a typical learning curve: for very few training points, there is a large separation between the training and test error, which indicates **over-fitting**. Given the same model, for a large number of training points, the training and testing errors converge, which indicates potential **under-fitting**.\n",
+ "\n",
+ "As you add more data points, the training error will never increase, and the testing error will never decrease (why do you think this is?)\n",
+ "\n",
+ "It is easy to see that, in this plot, if you'd like to reduce the MSE down to the nominal value of 1.0 (which is the magnitude of the scatter we put in when constructing the data), then adding more samples will *never* get you there. For $d=1$, the two curves have converged and cannot move lower. What about for a larger value of $d$?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 29,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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ZDcOArutF30tS/ZZObTSVrmc+Omd8YzfH66aeWfaViIiaSska+ymnnILPfvaz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\nYBcRETERBbuIiIiJ/B+2i99PCro+hAAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_learning_curve(3)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Here we see that by adding more model complexity, we've managed to lower the level of convergence to an rms error of 1.0!\n",
+ "\n",
+ "What if we get even more complex?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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mGrhcLtx888145513BhzdzuNxQJbzcwNQTU3pNGFm81jDls5h11pPnzAHf9nx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\nH374Ic888wy33nqr7wE9wzA4c+bMJWNbuHAh48ePJzY2ltj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+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot_learning_curve(10)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For an even more complex model, we still converge, but the convergence only happens for *large* amounts of training data.\n",
+ "\n",
+ "So we see the following:\n",
+ "\n",
+ "- you can **cause the lines to converge** by adding more points or by simplifying the model.\n",
+ "- you can **bring the convergence error down** only by increasing the complexity of the model.\n",
+ "\n",
+ "Thus these curves can give you hints about how you might improve a sub-optimal model. If the curves are already close together, you need more model complexity. If the curves are far apart, you might also improve the model by adding more data.\n",
+ "\n",
+ "To make this more concrete, imagine some telescope data in which the results are not robust enough. You must think about whether to spend your valuable telescope time observing *more objects* to get a larger training set, or *more attributes of each object* in order to improve the model. The answer to this question has real consequences, and can be addressed using these metrics."
+ ]
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+ "## Summary\n",
+ "\n",
+ "We've gone over several useful tools for model validation\n",
+ "\n",
+ "- The **Training Score** shows how well a model fits the data it was trained on. This is not a good indication of model effectiveness\n",
+ "- The **Validation Score** shows how well a model fits hold-out data. The most effective method is some form of cross-validation, where multiple hold-out sets are used.\n",
+ "- **Validation Curves** are a plot of validation score and training score as a function of **model complexity**:\n",
+ " + when the two curves are close, it indicates *underfitting*\n",
+ " + when the two curves are separated, it indicates *overfitting*\n",
+ " + the \"sweet spot\" is in the middle\n",
+ "- **Learning Curves** are a plot of the validation score and training score as a function of **Number of training samples**\n",
+ " + when the curves are close, it indicates *underfitting*, and adding more data will not generally improve the estimator.\n",
+ " + when the curves are far apart, it indicates *overfitting*, and adding more data may increase the effectiveness of the model.\n",
+ " \n",
+ "These tools are powerful means of evaluating your model on your data."
+ ]
+ }
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