{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Country Analysis: Comparative Analysis Using Frequency"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import py2neo\n",
"import pandas\n",
"import numpy\n",
"import scipy.linalg\n",
"import matplotlib.pyplot\n",
"import sklearn.manifold\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import scipy.cluster.hierarchy \n",
"import math\n",
"from scipy import cluster\n",
"\n",
"%matplotlib inline\n",
"numpy.set_printoptions(precision=5, suppress=True) # suppress scientific float notation"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"local_connection_url = \"http://localhost:7474/db/data\"\n",
"connection_to_graph = py2neo.Graph(local_connection_url)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Table of Contents\n",
"- [1.Classical Unsupervised Learning](#one)\n",
" - [1.1.Data Preparation](#one-one)\n",
" - [1.2.Data Normalizations](#one-two)\n",
" - [1.3.Principal Component Analysis](#one-three)\n",
" - [1.4.Principal Component Projection](#one-three)\n",
"- [2. T-SNE Algorythm Implementation](#two)\n",
" - [2.1. Fixed Perplexity](#two-one)\n",
" - [2.2. Effects of Perplexity](#two-two)\n",
"- [3. Implementation with GDP per capita as evidence](#three)\n",
" - [3.1. Preparation](#three-one)\n",
" - [3.2. T-sne application](#three-two)\n",
" - [3.3. Principal Component Projection](#three-three)\n",
"- [4. Method Comparison](#four)\n",
" - [4.1. Term pair frequency](#four-one)\n",
" - [4.2. Term frequency](#four-two)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1.Classical Unsupervised Learning \n",
"### 1.1.Data Preparation "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Getting the name of all of the terms. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_terms(processVariableType):\n",
" query = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(pv:{})\n",
" RETURN pv.term, count(pv)\"\"\".format(processVariableType)\n",
" \n",
" names = sorted(list(set(pandas.DataFrame(connection_to_graph.data(query)).as_matrix()[:, 1])))\n",
" \n",
" return names"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"process_variables_names = {\n",
" 'Feedstock':get_terms('Feedstock'),\n",
" 'ProcessingTech':get_terms('ProcessingTech'),\n",
" 'Output':get_terms('Output'), \n",
" }"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Getting the name of all of the countries"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_countries():\n",
" query = \"\"\" MATCH (c:Country)\n",
" RETURN c.name\"\"\"\n",
" \n",
" names = sorted(list(set(pandas.DataFrame(connection_to_graph.data(query)).as_matrix()[:, 0])))\n",
" \n",
" return names "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"country_names = get_countries()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Getting Occurences for any country and process variable-"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_pv_contry(country, processVariable):\n",
" \n",
" \"\"\"\n",
" Receives a country and a processVariable and returns the occurences of the various terms in that process variable for a given country. \n",
" \"\"\"\n",
" \n",
" q = \"\"\" MATCH (a:Asset)-[:CONTAINS]->(pv:{})\n",
" WHERE a.country CONTAINS \"{}\"\n",
" RETURN pv.term, count(pv)\"\"\".format(processVariable, country)\n",
" \n",
" data = pandas.DataFrame(connection_to_graph.data(q)).as_matrix()\n",
" \n",
" country_occurences = [0] * len(process_variables_names[processVariable])\n",
" \n",
" if len(data) == 0:\n",
" return country_occurences\n",
" \n",
" for index1, name in enumerate(process_variables_names[processVariable]):\n",
" for index2, data_name in enumerate(data[:, 1]):\n",
" if name == data_name:\n",
" country_occurences[index1] = data[index2, 0]\n",
" \n",
" \n",
" return country_occurences"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matrix of Feedstocks"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_matrix(process_type):\n",
" matrix = numpy.zeros((len(country_names), len(process_variables_names[process_type])))\n",
" row = 0\n",
" \n",
" for country in country_names:\n",
" matrix[row, :] = get_pv_contry(country, process_type)\n",
" row += 1\n",
" \n",
" return matrix "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"feed_matrix = get_matrix('Feedstock')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matrix of Processing Technologies"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"proc_matrix = get_matrix('ProcessingTech')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Matrix of Outputs"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"out_matrix = get_matrix('Output')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Robustness Check"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ True True True True True True True True True True True True\n",
" True True True True True True True True True True True True\n",
" True True True True True True True True True True True True\n",
" True True True True True True True True True True True True\n",
" True True True True True True True True True True True True\n",
" True True True True True True True True True True True True\n",
" True True]\n"
]
}
],
"source": [
"country = 'Denmark'\n",
"index = country_names.index(country)\n",
"print get_pv_contry(country, 'Output') == out_matrix[index, :]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.2.Data Normalizations "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Definning our X matrix. Here, every row will correspond to a country, and every column to a particular term. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Shape of X is: (145, 352)\n"
]
}
],
"source": [
"X = numpy.hstack((feed_matrix,proc_matrix, out_matrix))\n",
"print 'Shape of X is: ', X.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us clean the countries that have absolutely no documents. "
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"These have no docs:\n",
"[u'Armenia', u'Central African Republic', u'Falkland Islands', u'Georgia', u'Libya', u'Panama', u'Togo', u'Venezuela']\n"
]
}
],
"source": [
"print 'These have no docs:'\n",
"no_docs = [i for i in range(len(numpy.sum(X, axis=1))) if numpy.sum(X, axis=1)[i] == 0]\n",
"print [country_names[i] for i in no_docs]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We delete these countries (or rows) from our matrix X and from our list of country names. "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X = numpy.delete(X, no_docs, 0)\n",
"country_names = list(numpy.delete(country_names, no_docs))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We normalize by row and then standardize our dataset. "
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Shape of X is: (137, 352)\n"
]
}
],
"source": [
"X = X/X.sum(axis=1, keepdims=True)\n",
"X = (X - numpy.mean(X)) / numpy.std(X)\n",
"\n",
"print 'Shape of X is: ', X.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us then define the countries that we want to highlight during the analysis. To add a marker in the future. "
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"interesting_countries = ['Denmark', 'Sweden', 'Norway', 'Finland', 'Netherlands', 'Germany']\n",
"idx = idxs = [country_names.index(e) for e in interesting_countries]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.3.Principal Component Analysis "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Variance Explained by Principal Components"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
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Wp4okcV8BrgH2l/R54BfAv5Ya1SA3aWwzO3YF65/cWutQzMzMrE4VWez3Mkl3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\nEiMGVO5e3RnhMXJmZmZ1zEn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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\n",
"# PCA by computing SVD of Y\n",
"U,S,V = scipy.linalg.svd(X,full_matrices=False)\n",
"\n",
"# Compute variance explained by principal components\n",
"rho = (S*S) / (S*S).sum()\n",
"\n",
"# Amounts of Variation\n",
"variation = range(1,len(rho)+1)\n",
"count = 0\n",
"amount = 0\n",
"\n",
"# Plot variance explained\n",
"matplotlib.pyplot.subplots(1,1,figsize=(10, 5))\n",
"matplotlib.pyplot.plot(range(1,len(rho)+1),rho,'o-')\n",
"matplotlib.pyplot.title('Variance explained by principal components')\n",
"matplotlib.pyplot.xlabel('Principal component')\n",
"matplotlib.pyplot.ylabel('Variance explained')\n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1.4.Principal Component Projection "
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/duarteocarmo/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:9: MatplotlibDeprecationWarning: pyplot.hold is deprecated.\n",
" Future behavior will be consistent with the long-time default:\n",
" plot commands add elements without first clearing the\n",
" Axes and/or Figure.\n",
"/Users/duarteocarmo/anaconda/lib/python2.7/site-packages/matplotlib/__init__.py:805: MatplotlibDeprecationWarning: axes.hold is deprecated. Please remove it from your matplotlibrc and/or style files.\n",
" mplDeprecation)\n",
"/Users/duarteocarmo/anaconda/lib/python2.7/site-packages/matplotlib/rcsetup.py:155: MatplotlibDeprecationWarning: axes.hold is deprecated, will be removed in 3.0\n",
" mplDeprecation)\n"
]
},
{
"data": {
"image/png": 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R08deFGMsA2WAdevWRfpcpQKbN8PERNrfty/92rYzkKTGrr0Wfv3XZ94lqFTg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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"VT = V.T\n",
"Y = X\n",
"Z = numpy.dot(Y, VT)\n",
"\n",
"# Number of PCAS to plot\n",
"k = 4\n",
"\n",
"matplotlib.pyplot.figure(figsize=(12,10))\n",
"matplotlib.pyplot.hold(True)\n",
"for i in range(k):\n",
" for j in range(k):\n",
" matplotlib.pyplot.subplot(k, k, i*k + j + 1)\n",
" \n",
" matplotlib.pyplot.plot(Z[:, i], Z[:, j], '.', c='b')\n",
" matplotlib.pyplot.plot(Z[idxs, i], Z[idxs, j], '.', c='r')\n",
" if i==k-1:\n",
" matplotlib.pyplot.xlabel('PCA{}'.format(j+1), fontsize=10)\n",
" else:\n",
" matplotlib.pyplot.xticks([])\n",
" if j==0:\n",
" matplotlib.pyplot.ylabel('PCA{}'.format(i+1), fontsize=10)\n",
" else:\n",
" matplotlib.pyplot.yticks([])\n",
"\n",
"\n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. T-SNE Algorythm Implementation "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.1. Fixed Perplexity "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us implement the T-SNE Algorithm. We will use 2 components at first for 2D visualization of the data."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"n_components = 2\n",
"perplexity = 30\n",
"n_iter = 5000\n",
"\n",
"tsne = sklearn.manifold.TSNE(n_components=n_components, init='random',random_state=0, perplexity=perplexity, n_iter=n_iter)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We fit X to the algorithm. "
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_embedded = tsne.fit_transform(X)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We plot the results for 2 components (2D)."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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hbjfMbjY7K23ZsjgNYcsW0hCAuqrlbWqakbCOQdVxJFuKxwMjdQGkrpTRf70a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\nRK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"matplotlib.pyplot.subplots(1,1,figsize=(10, 5))\n",
"matplotlib.pyplot.scatter(X_embedded[:, 0], X_embedded[:, 1], c='b')\n",
"matplotlib.pyplot.scatter(X_embedded[idxs, 0], X_embedded[idxs, 1], c='r')\n",
"matplotlib.pyplot.title('T-SNE Implementation (perplexity= {}; iterations= {})'.format(perplexity, n_iter))\n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And for 3 components (3D)."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IHQmBsPAgYohAmINcCqOl6PbiCAaDsNlsCIfD6O7uRnV1dd6LKEVRMJlMMJlMqK2tBQAc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SV5HI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\nO0Q2bbxzAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_components = 3\n",
"\n",
"tsne = sklearn.manifold.TSNE(n_components=n_components, init='random',random_state=0, perplexity=perplexity, n_iter=n_iter)\n",
"X_3d_embedded = tsne.fit_transform(X)\n",
"\n",
"\n",
"fig = matplotlib.pyplot.figure(figsize=(10, 7))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"xs = X_3d_embedded[:, 2]\n",
"ys = X_3d_embedded[:, 1]\n",
"zs = X_3d_embedded[:, 0]\n",
"\n",
"xs_int = X_3d_embedded[idxs, 2]\n",
"ys_int = X_3d_embedded[idxs, 1]\n",
"zs_int = X_3d_embedded[idxs, 0]\n",
"\n",
"ax.scatter(xs, ys, zs, c='b', marker='.', alpha=0.5)\n",
"ax.scatter(xs_int, ys_int, zs_int, c='r', marker='o', alpha=1.0)\n",
"ax.set_title('T-SNE with 3 components')\n",
"\n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"However, it is known that in the tsne algorithm, the chosing of the value of `perplexity` can have ramifications in terms of the output. Therefore, we will now try severall different values. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2.2. Effects of Perplexity "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As you might have noticed, we have used a single value for number of iterations (5000), and we will try different values for perplexity. This is because of the information provided in [this](https://distill.pub/2016/misread-tsne/) guide. The author states that 5000 iterations are normally enough, but that perplexity might have an impact on visualizations, hence this chapter. "
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"perplexities = [2, 5, 30, 50, 100]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let us plot all of the possibilities. "
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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qzGziDAypua8b5WvqLH4XZl8m+dyHlffMmYM4GsXaeHtEzc1Jm5vx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\n7aVhcWPtVLE7TAEAytSUTcv9Dd3DNtu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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axs = matplotlib.pyplot.subplots(1, len(perplexities), figsize=(30, 5))\n",
"for i in range(len(perplexities)):\n",
" tsne = sklearn.manifold.TSNE(n_components=2, init='random',random_state=0, perplexity=perplexities[i], n_iter=5000)\n",
" X_embedded = tsne.fit_transform(X)\n",
" axs[i].scatter(X_embedded[:, 0], X_embedded[:, 1], c='b')\n",
" axs[i].scatter(X_embedded[idxs, 0], X_embedded[idxs, 1], c='r')\n",
" axs[i].set_title('Perplexity: {} \\n Iterations: {}'.format(perplexities[i], n_iter))\n",
" axs[i].set_xticks([])\n",
" axs[i].set_yticks([])\n",
" \n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The effect here is noticeable."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Implementation with GDP per capita as evidence \n",
"### 3.1. Preparation "
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Countries that do not have data:\n",
"Asia\n",
"Null\n"
]
}
],
"source": [
"data = pandas.read_csv('Data/GDP_per_capita-Freq.csv', delimiter=';', header=None).as_matrix()\n",
"print 'Countries that do not have data:'\n",
"countries_with_gdp_data = []\n",
"countries_to_delete = []\n",
"\n",
"for country in country_names:\n",
" if country not in data[:, 0]:\n",
" print country\n",
" countries_to_delete.append(country)\n",
" else:\n",
" countries_with_gdp_data.append(country) "
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cuba has no value for GDP.\n",
"Faroe Islands has no value for GDP.\n",
"Korea has no value for GDP.\n",
"Liechtenstein has no value for GDP.\n",
"North Korea has no value for GDP.\n"
]
}
],
"source": [
"for country in countries_with_gdp_data:\n",
" index = list(data[:, 0]).index(country)\n",
" gdp = data[:, 1][index]\n",
" if math.isnan(gdp):\n",
" print country, ' has no value for GDP.'\n",
" countries_to_delete.append(country)\n",
" else:\n",
" continue"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(137, 352)\n",
"137\n"
]
}
],
"source": [
"print X.shape\n",
"print len(country_names)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[3, 91, 27, 39, 64, 68, 89]\n"
]
}
],
"source": [
"indexes_to_delete = [country_names.index(country) for country in countries_to_delete]\n",
"print indexes_to_delete"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"X_gdp = numpy.delete(X, indexes_to_delete, 0)\n",
"country_names_gdp = list(numpy.delete(country_names, indexes_to_delete))\n",
"list_of_gdp_values = [data[:, 1][list(data[:, 0]).index(country)] for country in country_names_gdp]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.2. T-sne application "
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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h4Wxz+QSTJzzeKudxHag7nIiIiIiIAODu75rZGOADIAV8CIwCngRGm9kfw7Y7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\n5ViNAayGAFYwROVHn7P41rYtyO4I+aNHYOYmdoE03C7yRrS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xf2H4ffS7+IJWXcOORvn6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AJ8CJiVmfsBncA7y1YljX42QSPjS8DZgLtOjJDM/GFm9jVv3gZML1lPGzkYeDAzH8rM9cBVwJzC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\nQZIkSZJq5X8Bj3VBHNnrTFcAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_components = 2\n",
"perplexity = 30\n",
"n_iter = 5000\n",
"\n",
"tsne = sklearn.manifold.TSNE(n_components=n_components, init='random',random_state=0, perplexity=perplexity, n_iter=n_iter)\n",
"X_embedded = tsne.fit_transform(X_gdp)\n",
"\n",
"matplotlib.pyplot.subplots(1,1,figsize=(15, 10))\n",
"cm = plt.cm.get_cmap('RdYlBu')\n",
"plot = plt.scatter(X_embedded[:, 0], X_embedded[:, 1],c=list_of_gdp_values, cmap=cm)\n",
"\n",
"plt.title('T-SNE Implementation (perplexity= {}; iterations= {})'.format(perplexity, n_iter))\n",
"cb = plt.colorbar(plot)\n",
"cb.set_label('GDP per capita')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CoRACgQDGx8cRiURA03SSQLJarTAYDIrMXUm0FDOV2g+OtCMhEOYvRAwRCBkoVgSJKGEZ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\n2tqqeH1Nmzatx82sgwYNYujQoUr2Qp6I0Wq1VFdXU1hYiCRJHbJH1hCc0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NQAAB7JSURB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\nMCQQCAQCgWBA8/8A1ag5raSjiMcAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_components = 3\n",
"\n",
"tsne = sklearn.manifold.TSNE(n_components=n_components, init='random',random_state=0, perplexity=perplexity, n_iter=n_iter)\n",
"X_3d_embedded = tsne.fit_transform(X_gdp)\n",
"\n",
"\n",
"fig = matplotlib.pyplot.figure(figsize=(10, 7))\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"xs = X_3d_embedded[:, 2]\n",
"ys = X_3d_embedded[:, 1]\n",
"zs = X_3d_embedded[:, 0]\n",
"\n",
"\n",
"cm = plt.cm.get_cmap('RdYlBu')\n",
"ax.scatter(xs, ys, zs, marker='o', c=list_of_gdp_values, cmap=cm)\n",
"\n",
"ax.set_title('T-SNE with 3 components')\n",
"\n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Ks8qzIj2N8p7ynnRzlpo+U0RERERERERERERERKRr0AguERERERERERERERER6VJU4BIR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N9lGH\nt6uNIddeSc03c3GCLeWbNEOQu1cGLq8BugvX9CsR2s6VmFQUpesI4UNnEpJqIIIgBUhFCMFacxgN\ndkPMJ4kAQFlSAAAgAElEQVQtYXF5I4PSfbj1aFZTYM7XVD/6IHKbEqVmtUVDo4Y0baTTNMhsgn9T\nNe7lK3HvP63HrlFRlN7jGz8B6SQoOe1IIu7UxJNoNEHGmIGYGQJNF4w6Kjc2U0sApo2sKoJEAa6G\nNdBqJVcBePon0++u+wmvWomrbz9SDj0C4e79NX13NxJJd9d9FEi0PTiDC3gYOAt4DdgX+AXQrtkd\nKh9ZURRFURRFUXrQgCt/he6Nra+v+bz0PeM03Fl9eqlXkD19WuIHYiFIHlnYqTb9CxdGg1vBYPRh\n37aRoRAl9/+TSFlZxxoLbWhjtqwDwTWd6l9vkJEyqJ+HJiwEZrTMjAxD1ftI2bWzNn+4+mZ+uO4W\naucsoGHJctbc9SBzTzwXJ0GJrd1Rxn4TKbjoHDSfF1w6wuNG83oYfd8d7Vp/a2sb4596CN+QQaBp\n6MlJ5J98KIW/nI42dhrGOX9HL1RlIZWuU/LWB8w+5DQ+HnEI8y+6Bv/aot7u0i4rbNl8X1TDZyvL\nWVPRiNxmUFkIDU1ko4n+CJHWPJBcXFsZUya2+fVIKhsqmtuofflpZCg+q9kOWTh2qwFICbUvPIUT\n6J4sLkVRdi2az0e/P9+O8HijGZ6A1HQsW1D7QxF2QyOy1UQ2LJu6194jvZ+XvU7MJyW71VpbEvC4\nEOl9E59UtJGjIgS+/Q4g87xfknrksTHf5e1gkC2vvc36fzxIxfsf7THf/zrLpycuO24IDV30TAhF\n4HT4Z3cipVwD6FJKW0r5FHBMe45TGVyKoiiKoiiK0oN8gwYwYcaLrL3t79TPW4ArLZX8Sy5gwGUd\ny2jqagWXXkjZG+9gVlXhhMKgaWgeN4V/+wtaJ2eC1nz8cTRzqxWhadTNmkXOGWd0oLW2Ssptpwzd\n9loz68H0gzcbobV/Ha1OkSZYlSAMCCwHrAQvciBcAt4B0UMiEdA0hKtzj2z+NevZ8sa70f+WW88Q\nDBFYs57y9z6m76nHdardn5oRt95A/zNOpuLjL9A8HvJOOgZv/zYGj9qQPe1QsufMxA6F0dyGWrdG\n6TZr/vk4q+96GLupXGzpWx9SMXM2h379NkmDB3TruUNbKih+6yPsQJC8Yw4jfa+dK4nX3UrrQvz3\nq7XYDpi2g6Fr5Gd4+dWBQ3A1ZWFhV0NoKdi1oCUjtb647RDRjORWEyakjbvhOwgFkFnHY1dVJT6x\nEIk/c1wuIhvW4h0zrisvU1GUXVT6cSfiHTma2rdew6qqwnBqqJ6/DMNfz8bzf8eg/9yJMagAx3aQ\njQGqbr4Td20ZeoqBJ7nVdzsBpHoQKX0Q+WMTnzBzb6j6HuS23yE1SB2JSBB8CW7czMKTzsIOBHD8\nAfTkZNy5OUx89+V2T/LZ06S5PYRtC1s6zU8dAsj09lTlgz17DS4gIIRwA4uEEHcDpbQzOUsFuBRF\nURRFURSlh6WMHsneLz/Z292IYWRmsO8nMyh57mWqP/8ST/++FFx8Pql7d36wTrgM0LS4cowIgWZ0\nMKjkHQR1Xyc6CfiGtbsZaYdg/WvQWARCAySy3xGI3G5afyK8BkKLiD6fScCKnlcmeICVJuHVK6m4\n+1bCK5eDppMybTo5192Mltyxxa1r58yPvvet2P4AlZ9/tccEuABSxowkZUyCcj8dpG+zYLyidDU7\nEIwJbgHgOFjBIKvv+Q97P3xnt527+O2ZzPvl76PzBSybH+98mMG/PIPx//hjbAmtXYSUkhfmFRE0\nW+6jEdthc02Qr9ZWcfiIHLCqwP85zWVt7RBYVQz3uihp6ItetBEt6Cc8dCTS48YtwvTRKqJLdlW9\ni2/KwUQ2bYC4jIc23g/TxJWV3Q1XqyjKrsozbDh5v78JGQrgv/E0kkalUDCq6fvao3/GycwmHNHY\nOGMRSEnyqFyyjx2F3T8PUVKOKN4MAkSaB0aPxDn0ZwmDVQDkHQbBLRAojv4uAHcfyE/8fW7VdX/C\nrKpuXvfX9vsJbY6w7v/uY+Tdtyc8xmr0U/7RLKxAgJypB+Er6Lczb89PjiYEub5kQrZFxLZxaRo+\nl9Eja29B9D/pnrwGF3A+0QemXwPXAAOAn7XnQBXgUhRFURRFUZQ9SLi0jHBJKUmFw3Clpcbsc6Wl\nMvCqSxh41SVdcq6sk06k/Nln48q0SMchfVrH1ioRejIy/QCo+5ZooEgCOiTthXDn7ODobax/HRo3\ngLRbksJKP0V6+iDSO5+xIO0IsugrKJ4Hhg8xZCoiq39TcMumZe0wCd4UCNa3asDBajAovuocZMAf\n3eY4NH4+E7N4MwX/fb5D/XFnZyXMNBJuA2//vA5fn6Io3Uc6DqWvv4NLd5Ba83hklGVT/c333XZu\ns6GR7y++ASfYku1pWxYbnnqN/FOmk33wft127s6qCZjUBOJLbZmOZP7GmmiAK7SE1ms2CgFptVsY\nfs052JX10UkA0qH2kivY78Tkliq40iLjtOk0fvQedn1tc5BLeL2knXIGDe+8FrM2Fy4Dz9gJuPL2\nrMFgRVGiZKChadJULK2mElfIBinJOWkv+v9iHzS3TsAzCu34gdEXWWb05qS7kFLgyDCaiJ9QIzQD\nhp6HDJZCqDwa3EoqSDgJwQlHqJ3zfasPE5CmScW7HyQMcFV+OYd5Z14OCHAcpG0z/PorGHHDlZ17\nU36ihBD4XAY+VzdXd0hoj8/gqgQiUsoQcJsQQgfaNbtMBbgURVEURVEUZQ9gBwL8eNV1VM/6Bs1t\nICMm+ZdcwJAbr+m2Gfq+wkLyr7mG4nvvReg6CIF0HIbcew+u9PQOtyeSxyI9AyC4Nhqg8g1BGO2f\nMS/NRmhcHz12W44JZV9DU4BL2iEIbohOpfQORujeuLZi2rVN5Oy7oLEU7Eh0W8WPsM80RHLsg6oQ\nAokAoTcF2WTTqOsUGl6agWydLWCaRNaupOb5J3Bl5+Db/yBcfbKwilYR/uIdnLoq3BMPxj3lSITR\n8gyYNe1gdJ8X2x+IKacldJ38c3/e7vdMUZTuFSmvYNFp5xEuq8CQEYykaNJrcJtELt/A/G47f/nH\nXyH0BNmewRBFL8zYJQNcEpO2ytY2b7Vr4vdJydqrn0OW1qFtc1/MevQh9DFnwIjc5m16upcBT79O\n7avPE/juS1w5eWScdQG+SfvhHlpI9UN3Ix0HbAvvhP3I/cvfu/AKFUX5KREZ2eD2gBmO2S4RNFSG\n0ZIN8i/YF83jwr+qAnOQ0zIgHxNIEUTLWLc9pt+wKcTiPz1BxZff483LZsxNlzH4rOPj+yQS3yUT\nfee3gyG+P+tK7MbYdQTX3vdfcg47gMzJE9vsj9K1tN1sTa0O+hQ4Emhs+t0HzAQO3NGBKsClKIqi\nKIqiKHuAVTfeSvWsb5DhMHY4+gBe/MRz+AYPpN/Z3RfwyLvwAjKPPYb62bMRhkH61KmdCm5tJVzp\nkDqpcwdb/pbAUmtmAwCycQVUf0JLyXeJzDoKkbyd7K7iedC4pTm4BUT/f7AckrcTgNs6s9YBkTKO\n8LrHwYzEvUyGQtQ89e/oely2RdrRx6CtnRvNKpAO1vIFhD95k9Q/PYJwRwdFNMNgv3eeY+G5VxLe\nUhZdU81tMO4/9+Ab0H2D5YqyJ6tf+iPFL76J5ffT98SjyT7ikB2u2bbimj8S3FQMltWUQSTQdYnb\nDZEI6D4vw6+7rNv6LLe3hmGiUqq9zJFhfO51pPskVX7YtmSgoQn2Gdi0tozmjU5e2IZ/6Sasmtig\nP4A0bSpnLGLg9dObNjjg7ofuSybrst+SddlvY16fdtwppB51PObmIrT0TFx9srr6MttNOjb2ki+w\nF34MgD7hSPTxU6OTShRF6RFC0/Gc/hvCL9zTEuTSdIThYsPmRnJH9sWxHDQPVP7vR7QRLjxD+qN5\nY9e4lXYkWk7Vk5zwPA1rN/LRfj/HbAyA4xAqq2LOxX/Cv6GYvW68tPl1msdNxoFTqPn6W7Bb7uPC\nbZBzcnwwrOLzBCXAATsYZtMLb6oAVw8Se3aAyyul3BrcQkrZKIRIas+BKsClKIqiKIqiKLs5Oxik\n4t0PkZHY4IkTDLLpP092a4ALwJ2XR/bpp3frOdrFk0Xi9VM0SBuKtOqjwS25bUlBoGom0puP0BMP\nOMjShWCH47dXV0FWDkK0HkAW0ZI0W+fWuqIBP+/osQTnfo0MJ2grEm4OftW99w5pBWnonqYBzEgI\nu2wT4dnv4T2ypVR9cuEwDprzIf7V63BCYVL3Gtntg57Scaieu5hITR1ZUybizux8MFNRfko2/PdZ\nVt1+L044Ao7Dlrc+IOvwA5n4zENtBrnsQIDar74Fy4rZLoTAcINMSWevu28m+5DJ3dbvvKMOQVrx\nQX/d52XgOSd323k7y7SLEcLh9H3g6W8EtpSYNrh1Qf8MHwcPa5pU4NkLgvPY9l5u14VBS3APdCRm\ncRXSNBFuHySPb/N+v5UwDNxDhnfhlXWclJLIa3/HWbMAzGjJRKdkNfbyr3Gfc8suuX6aouyujH2n\noWVkE5n5Ik7VFvRh4zAmD2LKZSUUv/8jW2ugmrVBGp//iIxTDsOVnY7m9SBtBxkxseZ9jZH6EeF+\n5+PLHxR3jmV3PILpD8SUHrQDQZb99RFG/vZ8XEm+5u0j772TBSedhV3fgB0KoXs9eAbkM/Sma+Pa\ndcIRZKJ8Lymxg6H47Uq3EGKPL1HoF0JMklIuABBC7AMEd3AMoAJciqIoiqIoirLbsxv9be4zq+PL\nOPUm6TjYdXXoKSkIo2P176Xj4JRuAEDrPyRucE9oLmT+dNj8IcitM/s10D2QdygE1rRR9UqAfw2k\n7Z34xN706GtaH1xeDsMngIgAdnSvlBD2t7xWuCD9AADSTj6d2pefiZYpdOJLG7ZcKIQbwiR5tpnU\nGAkT+f6LmADX1uNSRgxL3O8u1rByLbOmnolZ1xC9PCEYfsU5jLvnlh45v6L0lkhlNatu/Uc0uNXE\n9geo+uIbKj6ZTe70wxMelyiwtJWRkcbhS7/p9qC0kZbCPo/fxfcX/wEAx7TQ3QaDzj+V7EP279Zz\nd4bTVLmobxpcc6RkeSnUB6EgUzImbwja1mCiexDIEISWsfV+mzzpYKT1WlybwtBIG5YMy35EHvJb\ntLRRPXU5O0UWr8JZMz+2LJoZxtmwFGfjD+iDxvZe5xRlD6QPH49mpFHxr4fwP/EOxtvp5JwylMFH\n5oNbBylJ3ycfV3U9dTfcievQg3DvOw6zrJqalz5i+FXjwXGx/p4bST/iEqzSYooefQ6rIUDO9EMp\nnzUvJiNrK6FrNKwpInN8y73L078vk7+ZSdXMzwhu2Ejy6JH0OfzghJ8p2YcdgDStuO16chL9Tzuu\na98kRWnb1cBrQogSog9WfYEz23OgCnApiqIoiqIoym7OyM7C6JNJZEtZ7A5NI+OArh/AdCyLmi+/\nI1JVTeaUffEW9I97jbQawQqAOzO6cDZQ9e57bL7rLuy6OoTLRfZZZ1Hw++uipfl2wF7/I8FHb40u\n9A2IpFR8l92KPnh0zOtE9j5IT2Z0za1IPaQOhbyDEO40ZNCCRKVBpAMy/sG/uc3BhyM3fgV2q/Wz\nNDekHwtmEZibEcKNdAywf4ju19Mg/QBE0tDor+kZFDz+MlX/uofAnG+ia5aZEbATnDtBIE4kpbbZ\nx+4mpWTWYacTqfNvu5E1j7xAxt6jGXD+LpDBpyjdpHLWN9GAfDg2S9b2Byib8WGbAS5XWirJowpp\nXPZjzHbhcpFz3PQeKzNXcNqxZE2eRPGbH2AFgvQ95nAy9h694wN3QEoHwhWgGQh3ny7oKUTLx0YD\ngx4XTBywdbuIz1jyjAR3YTTQJdy40l3kXXoZZY89igxFsxKEoeHO9NBnYi5YNmxeDmPaH+AK2w4R\nW+Jzabi0ns2Ystcvicv+A6JBrvVLVYBLUXpYeONG1pzxc5xgNMvKKitj09q15J0+nuxjR2FXBvCt\nL8EzMBlNE9gLviE06wu2rKqjz9GjwaWje3T6jMlk3i9+g8fnwmnKoCp5eQamP/E9xjFNfP1z47Zr\nbjc5Jxyzw367+2Sw190388Mf7sQxTbBs9OQkco44mNyjD9u5N0XpEEHbE192d1LKeUKIUcDIpk0r\npZTm9o7ZSgW4FEVRFEVRFGU3J4RgxF23svyKa3BC4WgWkcuF7vMy5MZr2jzOsSyEEB0aZPWvWcf8\nU3+B7Y8uVC1Ni/wLzmLEX29CCIF0wlDyLgSKmtbDksjsQ6j/IcjGm2/GaRp0lKZJxUsvIS2TgTff\nvN1zykAjgQevh1DL4tgyEiLwwPWk/O1lhC8l9v1IHRoNbLXmGwJ18+KCWVKCMOKDdM3tpRcgJ1wA\ni55rWtVbgicVccDvosE7z/DoD00FElP3a7Mto38Bfe/8JwBWZTmbzjoO6bR62NUERnLsug24vXin\nndpmu92tcvZ3mPXxmYJSwsq/PaQCXMpuTfd626h+qqEnb3/5iJH338Wi085DmhGcUBgtKQkjM327\n9+bu4MvPY/hvLuyy9mTjGij7oGkdLwdppEO/UxHuzJ1qVxdZ2LKC2Ci/QBeZiUvyCQ22WcKj35VX\nkjQoi4rHH8QOREgfm0XW/n3R3Hr03l+2DMactsN+2I5kbX0Iv2k33/ZzfQb9k909VhpQJKWBywVm\nq88Ilzu6T1GUHlX+739Rll3AvGMvoKbfENyhRkZ//R689j6Zhw8j9P5isKL3jLqievzl0e9NXg3W\nPr+cuQ8vJ3/aQNKHpeHCwgm2fB+VloXPa2CZLpxtsq10r4f8k6bhzd65SQSDLjyDPgfsw+YX38Jq\n8NP3hCPJnnqgKnXaoyTanl2ikKaA1rKOHqcCXIqiKIqiKIqyB8g6airjnn+cogf+TaS8nIzJ+zHg\nql/hzY8P3Pg3bGLBlX+mcvZcEIK+xxzGxIdvx5uXvd1zSClZdO5lRMoro6N9TUqef5XMA/Yj9/ij\noOT9aHBL2k1rXQGVX1L64Kzm4FZze6EQla++RsF116H5fLTFXPBFXEk/ABwHc8Fs3Ae1r7yKcOcg\nU8ZC4zKkY0WvwXGQm7Zgf3wD2rRfow9LvBaONuAAZP99oHodGF5IH7TTgwKu7FwyL/41NU8+Es3k\nchyE10fSvpMxQsUtAT3bwnvcORhj2w6cdbfAuqKEVRoBIjV1Pd4fRelJ2dMOTvi3r3nc5J+z/WBJ\nypiRTP5mJltefZPA2vWkTZpA7inHo2/nnrerk5Fq2PJu7GSBSDUUv4IcfNlO3RsNLQ/phHBkA1tv\nOhrJGFrbkxBaSzt8Kqn25+AkmBie1L5B4g0N0eCWpOXjriJo4nVpZHk7Vl63s/QxB2F+9Hj8Dk2g\njz2kR/qgKEqLTRtL+eSCP2G7vQCEk9NZevjPCKdnMmRDEa4Jg3AN74tZHUC+uQi2RANcAsjLlpgR\nSfFnG6lc6EWXMV+lEQJ0THImjKB2QyVWYwDpOAw841j2+89tXdL/1JHDGH3b77ukLaVzRKJKEsoO\nqQCXoiiKoiiKouzmpJSs/tuDrHv4SYSuI00L34R9cefFlzOx/AG+OPQMwlW1zUGjLR/OYta0s5m+\n5MPtZnP5f1xFpKwi9omc6ALYm558gZyjD4LA+pbAVnMHTcKbNiVsU2gaZnU1nvz8tq+vvgYi4fgd\nZgRZX93mcQnP1+cwpN4PufhpkDZOSSXURtd8cT59GK1vISI58QCo0N2Q07Vrt2ScfSG+fafQ8OEM\nZDhMytTpeCdNBimxVi9FNtbhKhyHlrZzWRE7K/fowxKvXyYgc8yQHu+PovQk3edln5f+w/yzL4+O\nVDoSaVkU/vFq0ifsuEyc0SeTAZdf3P0d7Sl1i5syt7YlwQ5DcBMkDex000JoePQhODKMlCGE8KAJ\nb8faSM5FZgyCmlafR7obMfzoHR5vOZL6iB13y3OA8oDZYwEu4UvBfd7tRF65s2UdLpcb9xk3qQwu\nRekFSw88CdsVm2Fvu71s2HcqnrGz0XQNYejo+X3oX5hH1avzqXlrEQC6LsjLhdpVDuHKAL5WicFS\nRtfa6jd1f6b+7Y+ESiswMlIxUpJ78AqV7iSQiD00g0tEZ74USCkTPxDugApwKYqiKIqiKMpubuOT\nL7H+X0811/EH2Pzim7hSkxl1a+xMzc2v/w8rEIzJiJKWRbi8ii0fzabfcVPbPI8dCIKWOABm+wNg\nB9l2/ZRtJRXmUj9vQ1xwDF3HyMnZ7vXpw8eDxwPh2AwwDHd0Xwc5m9bjrNgEdqTVHomz5lv0vY/v\ncJvNLUhJ3SefUPHiizh+PxnHHUvOmWdtN0PNUzgKT2GrwJkQGCP37lwfQgGczSsQvhRE/8IuKT/j\n69+PgqP2Z/PHc2P+ExqGYOy9t+90+4qyq+tz0P5MW/E1FZ9+iRMMknX4QXhyt5/1utsy60m4niES\n7PhSpp2hCQ8IT6ePF1N+g5z7SDTrduvn1rizEVmFOzzWbv05tQ1rO/u6gz5wNN7rnkGWrgUpEf2H\nI9r4HFYUpXvVDhwOtha3fd+cUoTbhdhmnT7Na5B15r7UzVyO449+3zSaRundrsRVbx3bYeAl56Hp\nOkkFfbvjEpRetqeuwSWllEKI/wHjOnO8CnApcayKLQTXbcAYOBhvP3XDVBRFURRF+albe/9j0eDT\nNpxgiKLHXmDkLdcitJaH8YYVa7H9wdZN4EQiNK4p2u55UsePiXl430rzesk79ThwZ0TXQ4kb/xP0\nv+Q0Gpc+ghNsObfm89H/N79Bc7tbHxBDLxyPPnQs9tqlLZlcbg/68HHowzvxnGSG47PMAGwLzFD8\n9g4ovvtuql55ufk6g6tXUT1jBiNfeXWH19kVzDnvYH38NOgukA4iOQP3+X9F69Nvp9ve982nSb3p\ndoqefQMrZJI+tB9jH7qL1IkdDzIqyk+RnuSj74nTd/g6advUPPcEda8+j+NvxDt2AtnX/AHP8JE7\nPPYnwWhj3TFpgbf9pQS7k3CnIA6+ARmsgUgjpPRF6O3LvHJrAl2IhMGsNKPng0tC0xH5I3r8vN1F\nSkn9nLnUfD4bV2oqOaeciKeg7SxuRdlV5PpcVNfboMUGuUZm1qIl+H4sLRtvYS6BRZsB2DoPra1i\nCcLlwkhL7dI+K7uSPTeDq8kCIcR+Usp5HT0wPqys7LHsilLKrjyd8stOoeGu31Fx2UksOeFkQiVb\nertriqIoiqIoyk6IVCYu02eHQjjh2Cyl9PGjcaXED05qboP0sdsfQNPcbkY/8Dc0rze68D2gJflI\nLhxKwS/OQggdcqaC2HaenQaam6QDzmTE88+ResAU9NRUvMOGMeiOv5J34QU7vD4hBL6r/obntCvQ\nBo1EGzQKz8+uwHflnZ3KTtIGTgARP7ogHYfArM+QlpXgqB2LlJZS+eILMUE8GQoRKSqi5n//61Sb\nHWEX/YD1yTNgRSAcgEgIWVtG5Lk/I7sg60DoOqPuvo2jtyzj+NqVHLzgCzIOmtIFPVeU3UvF3bdT\n8/Sj2DXVyEiE4IK5bL70fMziTlXm2WnSrEfWr0QGS7vkXoCsjU5maM3lBq1nyvfFdEdKZKgY2bgC\nadbE7BO+TET6gHYHtyD6mTMw1ROTYSEAXUC/5O6fqLCVlJKS517m230PY/agsXx/1MnUfPlt15/H\niuCs/hLrm6exf/gIGe5cFl7jhs3MOulyXvaO49W0Scy98lbMxti2pOOw6qqrWXHx5ZQ+9iSbH/wX\nC486jsr3P+yKS1GUbjV21tvoVuz3akOTuN2uxFWcNYHd0DQxSxOUlkr0JB9GZnrC9oXQcKmShLs1\nIZ0O/+xGJgPfCiHWCiGWCCGWCiGWtOdAlcGlANEvEZV/vBS7qrxpVoFA0wXZ9hYWn34e+3/1cZeU\nLlEURVEURVF6XvrEvaj5dn7cdt+AfHRf7Nol+acezQ+33o8dijQHcjS3m+QhA8k5fMfBirzjp5Py\neSHFz75CpKyCrCMOJe/kY5uzk0TGeKSRDtXfgdUAvoGQNQVhpJE8diwjnn66U9codBfuw07CfdhJ\nnTo+pq2sgYhRU3GWfthSI8aRmJVBzJJVhGe/h3faKR1ut3HBfIRhICOxgx9OMEj97NlkndLxNjvC\nnvsemK3KLkqJ9NciS9Yg8ndcmktRlJ1jVVfR8OG7cfcBGYlQ88JT5N5wS4/1RUoJxR9A7eLoxAPp\ngKcPcsg5CNfODKLakJQSzai1TUCA4QbDB9Lsqu4jQxWw5UsIlIA3F/oegkiKzUaVViOUvbFNaUQH\n6RsK2ccgEgXh2inD42Jkho+yQISwI0k1dHKTDAyt5+aRb/73E2y471/Nkyb8y1ey7MIrGPfi42RM\n3rdLziFDDVgzboZgHVhhpMuNM/9VXCfehsgsaHc7kboGPtr/50Sq6pCOgxOOsO7JN6hdvIKjvnqp\nebyp+uNPqZ01G6cp61yaJpiw9vqbyJx6KHpSG9mBitLLpJQkL/yWw+YvYNG5v6Y6ORuvCw4catJ/\nQB5UVsesTSgdB7suiFlSgy8/hZSxuawNO0y87lfoWKz44//FVF/QPB76nnw0elLbJa2V3cDuFbDq\nqB0vgtkGFeBSAIj8sACnriY+ZVZAMrXUzplP5pSu+YKkKIqiKIqi9KzRd9zInBN/gR0MNa9xpfm8\n7HX3n+Neq3s9TJ39GktvvIuSdz9B6DoFpx/PuDuvjylluD3Jw4Yw4rYb29wvkgdB8qDOXUwPkYMO\nITjjdYz0aCaXWRnEro/Osg1/9b9OBbhcmX0S72jHOmNdQQbqSFAfEoSGDDZ0+/kVRQFz4waE2x0X\n4MK2CC9f1rOdqV4AtUujJVm3lmUNVcDGt2HouZ1v1zsY/MvA4wW2mUSheUBP25keN5OBElj9FDgW\nICFcCfWrkcPORqQObXlh5Ydgtbr3BddDw2JIm7hTfUgydIak985gs2OaFD3w75iMYAAnFGLD3Q8w\n4Y3nuuQ89vevgL8KnKa/DysCRLBn/RvXKXe2u531z7yF5Q8it1nf0wlHqF28gqp5S8neP1rKtvLt\nd8Lz25QAACAASURBVJuDW9sSuk79d3PJnHb4TlyNonQ9J9BI41P3E/r6Y7KSTFIaTaaM2ETSpCRa\n8gRSkBmDoLYIzKYgfzCM+HENg88bA4CZns+4P92JSxPket0E1hVR9OjzaG4DJ2KSffiBjL3/tk73\nM7BiJeH16/EWDsc3fPjOXbTSTeQeHeCSUhYJIQ4GCqWUTwkhcoCU9hyrAlwKAE5NJdJx4hYx1DSB\n4RGES8t6pV+KoiiKoijKzsvYZzwHfPQyq+96iPqlP5JcOITCG64ic/KkhK/35mWz31P39HAvdy1C\nE9iNFnZVosBP5yobpE6ejJ6cjBMINAcaAYRhkH3mmZ3saftpI6fgbF4ZXWNsW7aFVjCq28+vKAoY\n+QPig1sAuo57eA+vo1Q1L0FGlQOBjUgrgHB1MlsmZQKE1oEdAiyaCvhBxmFdVxlm84fgtOq7NGHT\n/2DMr6O/2kEIlxIX2JcWNCxBagOwF7+P3LIKkVmAPuEERJ8BXdO/bmZWVSOtBGtFAv6Vq7vsPHL9\n3Jbg1rbbq4qQkQDC3b6/kar5y7ADidawFNQtW9Uc4BJG28OUoq2FiRSll0gpqf3rb7GK1oBlIgBP\nsgvDq9P6VidTcol4sqmbv4iM9QvR6+ub9zm6m8ZxJyAB05HURSxG334Dw6+9jMZV6/Dm98OX33e7\nfalb9AMrb7uXuoXL8PTPpfCGq+h3yrHYfj9rLruMwNJloOtI2yZ1330Z9si/0Dyern9TlM6TxDwf\n7GmEEH8B9gVGAk8BBvA8cNCOjlUBLgUAo3Cv6ILgrQLFti3x11oMUAtDK4qiKIqi/KSljRvFPi/8\nq7e78ZOhFwxDJKUgw61mkru9eA49oVNtCl1n+NNPs+6KKzDLy0HTQcDAO+/EO3TojhvYSa5J07Hn\nf4isLWsKckXLhrmOvADhVWWfFKUnuHJyST5kKv6vvkCGW4LNwjDIPO+inu2MkyDQBoBo2te5+4LQ\nvMjsn0NgFUSKQU+F5L0QrsTrynRKoCTx9nAV0rEQmisayBIiYeIqdhjrld+DZYJjISvWYa7+Cjtl\nHKJgLzz7H4Hw7br3RaNPJrSRVZ00dHDXnaitzG1B4nXW2pA5fhSbfB9FM8lbSRvV8vmXe/rPqPnk\n87jMNASkTZnc7vMpSk+wVi/DKt4QvY80EUIQmTUX19ABaL7YAJItXHyZdiKTvH7yGxbhaDq6gIax\nJ1JdMBknYuPSBEJK+njdGBnpZO6/40zT+iU/8t1x5zaXNDRr61hy5U2Ey6ug6Ef8i5fETKxomDeP\n4vvvZ8CNbVdbUHrJHpzBBZwKTAQWAEgpS4QQqe05sOeKAyu7NFe/AXgPPJJtssVxbIkVkXgOOoqk\nwT+NWUyKoiiKoijKrsOp2ERk5tNE3v039tpFOMGGTi9O39OEEKT+5g6ELzlaZkvTwOPFGD0JzyHH\ndrpd75ChjP7gQ0a8/DLDH3+ccV9/Q+b0Tpec7xDh9uK55D5cR16ENng8+l4H4z7vdozJO79umaIo\n7Zd3y/+RdvLPEV4vCIF72Aj6//NR3IOH9WxHUgtJOCyk+8DYuWCU0NyIlLGIPkcj0g/scHBL2o3I\n+jnIqg+QDd9Hs7G25WqjNKDmAtGU6aOngJ5oLTENp7IBIqGmEoeAdBCOhSibS+DFB6m9/nTskqIO\n9bknaW43Ay7/JZov9n3QfF4GX/+7LjuPGHE46EarjRqi72iE4U14TCJDLzoN3edh27QWzW2QOmoI\n2Qe0DOCnH3wguWefgeb1IDwetKQktKQkRv73YTSPe2cvR1G6lFVclDDjJvLl94R+WIsTMZG2g205\nmI7g+5Uesj9/j80bPXw27FK+mvAbfjzhPjYNP5aAJQnZ0GhKqsIOltP+TJ6Vd/4zLnhsB4KsuuN+\nqt9JsOZjOEzV62907qKVbiTBcTr+s/uISCklTdNShBDtXgxUZXApzTJ++xdcQ0dT/+pT2A31BMwk\nUn52IWMuOq+3u6YoiqIoiqJsh2OabPnoS4Il5WRNmUDG+N4vN2fO+wjrvX9HSxs5Nvbc9xFeHS0n\nGS13OPq0XyPScnu7m9vlGjqGjPveIDLvC5z6Glwj98Y1fOxOl9gSQuAbMbKLetnBc7u9GJNPgMmd\ny0LbGWbxJir/eReBed8iDIPUY04k68pr0XbhLAlF6Q7C7SbnmpvIvvpGsC2Ey9jxQd0h9xCoXxkt\nJSibSgkKFxSc2HWlBDtBmpVQOaNpXTAHwpuhcSky57SWQFnOAVD6OVZRGeYPxciIjWtoLsahJ6M1\n9V0Igcw6GsrfbpoVb0evT/PhLF1EotQuzeMCM4yMhGl87E7S//Joj113Rw269io0r5dNjzyGVVuH\nd9BAhv3lD2QeckCXnUOfeBr2lhXIqg3R91DTwZOKftgVHWrH0yeD6d+9yrzL/0LZF3PRDBeDzjyO\nfR68OeZvTQjBkD/fRN9zz6L2y69xpaSQOf1IXKntWoZF+YmqWbicFfc8Rv2KtWRNnsCo319CytBd\nf6K9a8CQNnboyOULMVNtvP1z2NCYy+Yv1lHweFP5b8eBd3TKjzyVhguuIrnV6LwjocQfZmBq+4LI\ndQuXJQy0OaaJNFuXoW3aFw4n3K70sj07g+tVIcR/gQwhxCXAL4HH2nOgCnApzYSmkXrSWaSedFZv\nd0VRFEVRFEVpp4Y1RXw+7VysxkB0PQ4BfacfwgEv/RPN1f1f96W0sZwt2NQAAl1kowe90eCWtc2M\nUcdBBh1kIIwsX4014xZc5zyM0Luvj+HKaub/9q8Uvz0TaVpoXg/DLz+bcXdch97OmeDCl4zn0OOb\nf/cvWkj9xzPBMMg84US8wwu7q/u7Fbu+js2XnoNTXw/SQVomDe+9RWTtKvIfeba3u6covUIIAb0V\n3AKEkYIccTlUL4DGDeDOhOz9EZ6sXusTALWzW60NZkcH/eq+hqzjoptypxD+5H+Y3y0HKzogGKkK\nYG18i6Q/HIUwovd44e2P7H8+NC4FsxY8BZAyGrTvgcbE55cSJNgbV+P4G9CS21UhqccJIRh41a8Y\neNWvkLbdLWtUCZcb/YS/IMtWIas2INJyEfl7I9oqXbgdaYWDOeLTZ5COA0JsN4jqGzoE39A2ggfK\nbmXLJ1/z9c+uxA5FwHGoX76WjS+/xxFfvUr6mOG93b3tcg0bg2tQIdb6lWA2fecVGsLjJmXqBDSf\nDqFqXNURCh6/B83c5nuxbZHz6Vs0HHYkjNwrru3asMXAdt56kgbmEymvjN8hIWn8eAKLF8duF4LU\nKVPaeZVKj5Fyjw5wSSnvEUIcBdQDI4BbpJQft+dYVaJQURRFURRFUX7Cvjnzt4TKqrAa/NjBEHYg\nxJaZX7H20Ze7/dxSOkScldhUACYQwZalRNbMjM7yjjsApN8EKZGRIBvuvJkPRh3JzH1OYt0Tr0YH\nvbqIHY7w8eTT2Pza/5BmtASVEwqz6oFn+PpnV3a4PSklxXfczvpLfknls09T+dQTrDnz51Q890yX\n9Xl3Vv/+W8hQMObBXZoRwqtWEF7xQy/2TFH2bEL3InIORAw5B5F/bK8Ht6S0wSxPtAfCxS2/NdRi\nfvd9c3ALAMvCqSjBnPtJzJHClYrIOBCRcxzSKKTuw5mErL5ILTa4KG0HszIQk9jVmUBOb+iO4FZz\n20Kg9R2JvtfRaAMm7vR7IjStVzMElV2HlJL5V/0FOxBqLrUmLQurMcDiG//ey73bMSEEGTf/E+/U\n4xFeH7gM3BP2JfP2+9D6ToekceDqS+bSOQnXs9MiYXxfJx6/78i/keF/uAo9qVXZVo+HnGOPpOCm\nP6KlpCDcTUF/jwc9NZUBf/pj+y9U6TnS6fjP7mUp8CUwu+n/t4vK4FIURVEURVGUn6jAplIaVq2P\nq79uB4Kse+wVCq/s3lLTjqxFYhJb5kkidTO6AH0iWnSHDIeom/st/vVbAFj8+79RPWch+z76f13S\nt81vfEiwtCJ+h5SUfzGHuuVrOjQzOLB4ETUz3kJuXfjetpG2Tdn995Ex/RiMvLwu6ffuKrJyOTJR\nORwhiKxfi2dU/OxlRVH2RFrTT4JBO9EyhGWv+wFcrthMYYBICGvJN7gPOi7u8MDSJay/9GKwHaRt\nk3tQLhmjMqNrdjkWVn2EcFF907k0XMPGRNdhVBSlW5j1jQQ2lsbvkJLKr+b3fIc6QfMmkfarG5AX\nXQENn4MTBFZS+b+VrH98EeGyerLyfXgi8d+BBCAqy6NBCqHFbO/jaf+Qfe5Rh7HXfbey4ua/Y9Y3\nEPDbWAGTwFtfsO61Tym87AxyB6YSXLmCpLFjyTnrLIw+fXb+4pWut3utqdUhQohfAbcAnxH9Z/CQ\nEOJ2KeWTOzr2pzEVRekRjr8R/wdvUvfsvwjOnY207bjXSClpXLeRwMYSAMzyMiKlJcgEtV4VRVEU\nRVGU7mWHIwgtcSTJDkcSbu9KjvSTcBBy2PCEawEgQEuOzph3LIfaDS3loexAkI2vvI9//abEJ5Mm\nyBKQRSAbdti36vnLmjO3EqlbtmqHbWyr/uOZyFAofoem0TD7iw61tSdyDx+F8Hjid0iJMUiVoVK6\nnpQSOxhSz6o/MUII8BUSP1ylQ9LoltclpyVaQgs0DS09PgtN2jYbrroCp6EBJ+BHhkOUfbaRVU/8\nwJKXN1O80CZUFIwOMnuTEOl9SL7k5i69NkVRYuk+D8KVOPvQ3Se9h3vTeVJKaPgMnAbAYtML37D4\nt69QO2cZwQ0bKZmzEsdOHLgwli9Eq65EE9ERfQ1Icmn0S25fKe2tCs46hSNWfU32aafiCANpO83V\nHVY/+hpBXy7DH3mE/ldeqYJbyq7qemCilPJCKeUFwD7AH9pzoMrgUih66V1W//UfFA4KoGkCTQPh\n9eHKH0T2XY+ieaNprtVzFjH3F9cSrqzCMS0MXdI3T+LxuXD368eAu+8laey4Xr4aRVEURVGUPUfK\nsIF4svs0Tz7aSvN6GHjW8W0c1YWEG6Sg9SijcHvQz70O64V7AQFmCJCIVDfC48Kxob4kROXq2PVP\nNMNF9fdLSR7SamFxWQNycdN5JLAOZB6I0dBGCZfUEUMQhqvNIFdq4eCOXathRMvLtJ4EJgTC6L01\ndH4q0k48jdoXnkBGIi3BT8ONe+hwPKPH9m7nlN3OusdeYvntD2DW1GFkpjPmz79l6KXn9Ha3upV0\nHCq+/J5wRTXZB03C1y+3t7vUeekHg10PZgUgotkNnnxI26/5JfqwcYikFGQkGDuhQjcwDj0prsnA\nksXIcPwkBRm2iFSVsWBRHYc+eQspSRH07L4YEw9G9OL6aJ0lpaR+xTpsf4CMvUehqc8nZRemu90M\nPu9kNrwwAyfYkuGkJ/kYcc0ve7Fn2yctk7oXHsX/3us4oQCeMWPJOHcSRkEGTsRi9T2f4gRNDI8g\nI8fA5dZo9FukpQo0Q8NINrAjNlbAQmuoI+3qc8ma8SURx8Hn0kl2da6Mp3QcNrzwDnYwNlvMDgT5\n8e+PMfzSs7rqLVC6hUw8QXDPUQVsO4uxoWnbDqkA1x6u6MV3+P6Km5m0vwtd15rHB2QoiFm0lsY3\nniHt3MsJlVfx1QkXYTUGmo+NmFC8GYYMihDZuJH1F1/IyI8+wZWR2TsXoyiKoiiKsocRQjDl2XuY\nfcKvcCwbJxTGlZxE8pACRl57cbef3yX6YMstxE+j13ENOxDXjROxV8xFBuohUAwli0FoVBcbzPnv\np/ENSomvf6tBWemAXAJsG1iSQDmQ0/QTb9DZJ7L05nsxa+OzvTImjCZz4ph2XydA5vEnUPXcM/FV\nDqRD6tRpHWprT6SnZ5D/3xeouPcOQgvnIVwuUo46juzf/kGtxaJ0qQ1Pv8bSG/+OHYiWE41U1rD0\nprsRhoshF53Ry73rHg1rivj8yAuI1EbL6zkRk5FXX8D4O6/r8X9foeISiu59mJovv8XIymTAFReT\nc9JxHeqH0AzIPhlpVoFVB65MhJHZ6jUaSVffQ+DhG5H11dHMKynxnH01esGwuDal1XZGrxBghyKs\neetrDnj+vvZf7C6mYU0RX558Of6NpQhdQ+gak5+8i4KTj+ztrilKmybefzOR6jpK3v8c3ePGDkcY\nesmZnSqzXbNkBWWffYe7TwYDTj0SIzWlw21EautpWLEWX0E/kgr6JnxN1d03E5wzG5pKL4eXLKJ8\n1Q/k3X0BoZrotpQMFwNG+KLVCzSBbRsk5Sbhy/YhHQkCrKBFzYpqPCPHkN6BkoRtsYMhnEjie124\nsnqn21e6mWR3XFOrI9YAc4QQM4i+GycDS4QQ1wJIKdv8gFYBrj3c0j/fT1ZKBMPtjv/CaZkEPv+A\ntHMvZ+MLb+Mk+ELoOOAPQEoySNOk5t13yDn/gh7qvaIoiqIoSvfyr1hJ/bwFuHOyyZx2GJq7pVyI\nVVdH5XsfEKmsIm2/fUg/YHKvDNRnH7QPx/44kw3PvIl/Uym5h+xH/qlHobs7VtqkM4QwcGuFmM4G\nJNGSiAIfhjY4+l54knDtfXjccanrNiHvmgWYLRt1HW+/XLIO3KfVq+tIXIfKjpYsFIkDXEZaCkd8\n9Srfnn01dUtXbu0wBadOZ7/H/tbRS8VbOIK8q6+l7P77oplcIppVMOCuf+BKz+hwe3si98DB5D/w\neHPJOBXYUrrD8jseag5ubWUHgvx4x8O7ZYBLSsnsEy8jsHlLzMzvVQ8/T/aUieSfdESP9SW8pYz5\n00/FamgE2yZcUsrK624msHY9g6/9dUufLYuqGTOoevMtEILsn/+cPieegNBjS5UJIwuMLKRtU/v5\n54TWrcM3bBhphxyC0HW03AKSb3sOp3gdMuhHHzQS4U5QChVI2nsCdigctzyk40jq6wHHoXH1hq59\nQ3qQY9t8dsQvCBaXxfwdfHvudRw9/y3SRg7txd4pStt0r4cDX3mQYGk5gaISUkYMxtOnY9+rpJR8\nd9FNbHztA6TtoBkuvv/N7Uz98AlyDpjY7jaW3XIfqx98Bs1tICMRssYPp/A3F5Bz7JG4moJlVnkp\nwe9mQSSy7cHIiEXjhwtJOnZfpGlTMCYJTW+54/j6ePFl+xCaaC4vbiQZZIzIIunK6zp0vW1xpSST\nlJ+Hv6g4bl/W5L3jtjmbF2PPeR5qSyEpHW3iz9BGTlXfz3rTnh3gWtv0s9WMpv9N3dGBKsC1hwts\nKqX/sOiN3F9rUV9pIh1I7eMitY/R/PAZ2FSCE4pEa8Juc5+TErbGvWQkglkcfxNVFEVRFEX5qZG2\nzaqrb6B65qdIQNN1hNfDuFeeI6lwGA0LFrHsvIvBiWZNaT4fqZMmMObp//ZKOSBf3xxG/+GyHj8v\ngCaScGujgeiXQiF2fP0pQwdw4OuPMO9Xf8CsbUDaNpmT9mLKCw8keKjeXqmO7ZfxSBs5lKMXvIPl\nD+BYNq6UJDQ98VoP7ZFz/gVkTD+GhtlfIAyD1KnTdtngVsPajax97FWCm0vpO/0QBp55HLqn+4Oe\n7aEGTpTuFCotb3O7lHK3+/ur+2E1geLY4BaA7Q+y6pEXejTAtfk/T2L7AzGlXJ1gkE3/epyCSy7E\nlZqClJI1V15J49x5OMFoIDKwbBm1n33KsAcfjGvTqq5hxdlnY1ZU4ITDaB4PRm4uo156EVdmJkKI\nhBlbcYSguETSPyf6PkUzKiTBENTVgzBcZB/UeoLFT0f5F3Mx6xri/g4c02LtY68w8Z6beqlnitI+\nvn65nS6tuumNj9j0+ofYgWgZUqdpHdrZJ1/JqaVfteu734Zn3mDNw89FqyE4YVKSwVr9Iyuu/ROr\nbryV0Q//g9zjjsLcuB5huKMll7dlO0TWbiGjTzJ5Bw0Ef2XMbk8fb9y6uUITeDJ8uPP7d+q6WxNC\nsM9Dt/D1Wb9rfi+EpqH5PEz4+w0xr3VKfsD++D6wm67DX43z3bNgBtHH9UCZcyUBidyDA1xSyts6\ne2zrVTuVPUxSfh44kopNYco2hAjU2wQbbSo2hyleHaByfS2bnn2NrAMmoevR4FaiHwAMg+RJk3r1\nehRFURRFUbpC+etvU/3xZzihEDIUwvb7sapr+PHSq3BsmxVX/A7H78cJhkBKnECAhvkLKXv59d7u\neq8QQiCE0a7g1lZ5RxzI8etmc9T373Dcqs+Y+sXL+PLzEryyrUXGdRD92nUuV3IS7vTUnQpubWXk\n5dHn9DPJPOW0LgtumY5DdSjClkCY6lAEy9m5h9uS/83iwwknsvKfT1H00nt8/+tbmbn/aZiN/i7p\nr6LsypIHD2hje8FuF9wCsBr8cZlPWyUq0dqdar6ZizTNuO3CcOFfuRqAxnnzaJzXEtyCaBCsfvaX\n+JcsiTt24x13EN68GcfvB8vC8fsJb9rEpjs7lolrhyM0NkrWrofKKqiqlhSXwKbN0f2uZF+PlPbt\nLuHyxMuUSMuKZvcpym5s7eOvYfmDcdvtUJiqOYvb1caq+5/EDgTRtGiVquh3W8C2cYIhfrzq90Qq\nqzDyBya8z6G7MAongpHPsOt/htBjh9xbB7dajtOR4UDifZ3Q//jDmfrxM/Q77jBShg9kwBnHMn3O\nG3GluZ3vX24Jbm1lhXEWvol0WpXjVnqGJFoqraM/igpw7clqv/mOrJQgoTA0VFsxWZDSgXDAYcvS\nMpZffyur/vw3BNG1tQ0Dtn5/FgICgei/J3fBANKm9tzsMEVRFEVRlO6y5fmXYwbfAJCSSOkWaj6f\nhVUfP2joBIOUv/pGD/Vw9yCEIGXYQLx9E5cZjL5IBzGW6KPL1sEBDegDdG6m764kbDtsCYRptGwi\njkOjZVMaCBOxO/fA6lgW3114A3YghDSjWXW2P0jD2o2sfvj5ruy6ouySxt55PbrPG7NN93nZ687r\ne6lH3Stz0l4JF6XXfV4GnHFsj/bFO7AgtuRLExkx8fSLTmBomDs3OjmkFScSoeG7ObHHSUntzJkt\nZWO2sixqPvqoQ30zUpJJGT4Yy+L/2bvv8Kiq9IHj33Pv1PRCQhJ6r4Ig3YIiShGxYneti7q6Fn6W\nXeta1152rdjFgmVtIChIUxCR3nsPJSGkZ/q95/fHhIRhBknCpEDO53nySO7cuecdJJM75z3nfdmf\nD7n7gu0WABxZ6Zz1+9eH7bdzLGhycm9Mf3hbCT3WSebwwfUQkaLUHfPQ/qgHCIGs4v2Ub38BAIet\n8C0E+36YhiWzOY4T+4WdKKxWEi4ai4g/HWffG7Gmh76f+Ev9FVWyQjhiEMnRfe9pMuBEBk8az6j1\n0xn0yYskdonQl7Bwd+QnG37wqgVR9UOW9x6u5peiElyNlSd7F2uvvwWjqIjSUohU3kXKYHsB6Q/g\ny8kjJgYsFvD5oXy3L1KC3w/OwUNpP/ELRD2U5FEURVEURYk20++L/IDQkIE/WdV4HO4OaBBEExCD\nQLQHWoPoBeKE4+Lvu8DrC7sTl0CBN8Lq4CooWrUR0xf+XNPtZcfnU2p0TUVpSIzSUnInTGDruHHs\nee1V/LmhJQmbnX82/Sa8RHyX9mgOO/Fd2tP3oxdpfsGweoq4dul2G33HP4Ee44DyHQN6rJO4di3o\ncNNltTaudO3HXPIW/km3kfP0lex57WEyL78QzRHaA0vYrCT274OjvASXJTkZYQ/vk6XZLOjGCuT6\nZ5GbX0cWBndzRZwQDj5Q7Zj7vPEYeowTYdHLx7RiTYrnjJ8nENeuZbWvV1e8uXksu+lefmrem2mt\n+rLq7seCfc4OEtsyi/ZjL0WPdVYc05124tq2oNVlqtyYcnxrc/X5If/2DxCaILV/jypdI21wf9C0\nsD59B8iAgVG++C31gWeIG3Z+sOefENg6diP92bexZDQLjisEqQ+/iJaQhHDGIuwOPMUG6DawlCfG\nhEAi8Bf7KPvgeYy8Ot5pmRCpagKgWcAeW7exKJWkrP7XcUII0aSmz1U9uBqpnM++RPr9IT8Ph84P\nBOuTU1GaMBCAoqLKVJiP4PEWZ59GxzdereuXoCiKoiiKUmvSzhvFzq3bMD3ekON6bAwpZw3BkpiA\nzxVaTkRzOkm/9OK6DPO4EKw1L45cOkzYgZYcdubhGCSlxGdG/mDqrWHJET3GgTzMSmZLXPjkj6I0\nRP7iUjS7LaxvnD83l3UXX4RRUoL0eBA2G7nvv0+HDz8iplu3ivMyzxlC5jlD6jrsetPqkpEkdm3P\nprcm4t6dS9bIwbS+cjS6IzyRFA3S70LOf4b8ZTtZ/Z/l5e/LS5HmV2TdfB1kJmNt1QzXopWwM5dO\nTz5S8dyUESPZ9dzzEZbYmiT3L59wDZRC7s+ASeLpgymaNTukrxe6TuKQM6odd9opfTh74Tesf+UD\nitduJrV/Tzr+/S84sw4z0dsAGB4v884cg3dPLrJ8J1v2R19SuHApJ8/+OuR3Z68X7yft5JPY8Pon\nBErKaHnJSDr87Ypa+3egKA1F6ytGsePzKeTOWUigzIXmsCM0jZMnvoR+2C1Zobo/ehc50+fi97hw\nEn4fJXSd1DNPB0CzO0i+9R8k/e0+MM2IZWKtrdqT8cEUPEt+wywqxN69F3pSMv75kwks+pnArp0E\nSjzIQAmB3B/wLZhJ4hPvY+oONj/xHHmTfwIBaaOG0/bBe7AmR7fnq97n0tAeXAAWO1rP0Qjt6Et6\n1zZpGOydMovcGfOwZ6TR8qoLiGletdLlDVoj3JElhDgXeA8ICCEM4BIp5W/VuYZKcDVSnp07kYEA\nfn/ofeKhdF0ghERKKCkN3+clJUib+qCsKIqiKMrxJfO6q8mb8hPuTVswXS6E3YbQdTr99wU0Xafz\nW/9l9ZXXIQ0D0+tDs9tI7NeXjEsvqu/QjxnSkwfZP0DZjuAq1sSu0GwEwtK47i0FkWop1LzURkLH\nNsS2bk7xui0hdfn1WCftb7myhldVlLqx79eFLLrlIUo370RoghZjRtL71UewxgVXk+9+6UUC+fkV\nH2Klz4f0+dj+wP10+fa7+gy93iV170if/z5cJ2PJnfMIlJax6j/LMb2VEwoxfXuQcNMYNKcDCUBm\nDgAAIABJREFUhCB2QO9gHxt7TMU5lpRk2o9/iy2334HpC06salZJ2/uHoMceNBEtA5A3lxYPPYRr\n5SqMkhJMlwstJgY9IZ6WDz5Yo9jjO7ahz2s17mNfZSVr1pM94Sv8hUWkjxxK05FnHrZX2p/Z++1U\n/PmFFcktCJZzLNu0jfxfF5B62oCK40IIWlw8nBYXD4/Ka1CUY4VmsTB48lvkzPydvT//hi01iTZX\nnoszs+qlrOPat+KsxZNY/+I75E+ajHCXgjQAgeZw0Oy6K4jt0DbkOeLAroDDEFYrzv6hJUKtg8dQ\n+vkHSPdBC+VMA+lx4fr6XdZOmEvO7nyWWDvi0mx0/X4BhX9cTr9ZkxCW6E3ja817Is+4DXPBx1CS\nC454tJ7noXUfGbUxaovh9TFvxF8oWrkeo8yFZrex8fm36PfZqzQ969T6Du8oyEaZ4AKeBE6VUq4T\nQvQHngWqVVtXJbgaqaRBA9k3+UcggMUCHg/Y7TJkF9eBlUBCBD8/HC4RljtnYe0HrCiKoiiKUod0\nh4Oe30wkf/pMCufNx5aZQfrF52NvGlzlHd/zBPrMn83+KT/hz8sjoV8f4vv0rrh/8uXls3P8B+TP\nmYejWSYtb7mexL696/MlNSgy4IZN74FR3odFSihaC948ZIe/Hnk313FCCEGcVafEH3qjLYBYa81X\nz576zevMHHI1/uJSkBIzYND6ytG0unzUUUasKNHn35dL4aTvKdu4mXXvTaYkP5j0kMDOr6biyclj\n8NT3ACiaNSviB1Pv5s0YJSXo8fF1GXqDUbR8DVvf/BjP3lzShw2m5dUXYYmNOfITazzgNvYv3RNW\nBabZ0/ehxRy0SEGARFIaKCHRVrn7IL5fP3rMm4tr9WpA4LT9hBARJvUMN7b0VLpPn0bBjz/h3rQJ\nZ/v2JA8fhhahzGFt8qxdjWf1SizpTYkddOqfTjTvnPAla//xRDCBZ5jkTJ7OjpN60uerd9CqOUFd\ntHwNRpkr7LgMBChevT4kwaUojZkQgowzB5Jx5sAaXyOmRSa9XnoI+eKDFM7/g5yvJyM0jaYXn0dS\nv+jcx5v7diMj7dI3TbxL57OwwMFHqVciEQSEzhwZ4ISS7bT5eQ7pw8+MSgwH6K37orfui5QmQhw7\nXYy2vfc5hcvXVvRzNMv76Cy67m5GbJtX7ffZBkMSsjitEQlIKdcBSCkXCCGqfTN3jP4fV45Wk/NH\nsfWZl/C58rBYgp8RPJ5gMsvhIGRSQQiBx3v4mp56TONaZasoiqIoSuMgLBZSR5xN6oizIz5uiY+j\naYQdW759efwx5Dz8RcVIn4+SFavZP+tXOj37KJljzq/tsI8N+cvADIQekwZ488G1E2Ibbi+UaEuy\nWQmYErdhVuzmcuo6Sbaa97aNb9+Kc7fOInfm73hy8mgyqDdxbVtELWZFiZbS3+ez7e9/A8NA+nxk\npEJSLOzYGXzc9PrIm7eYkk3biW/fCs1uj1A4ChAiqivbjyXZn09i+W0PYnh9YJrsn7eQrW99wuBf\nvsISH1c7g8Y3w/SDPKjEqp4Yj7V5RsTTfUZ4X0uh68T2CPbGkVv/AN/+8CfqThAWNLsg9bzRh49H\nmiC3ALsAA0gE0QnE0b9+6fez6+7bcS38HaREWCxosXG0ePdjbM2ah53vLy5h7X2Ph5Q4NspcFC1e\nxt7vfiTrouotNIjr1A49xonhcoccF1Yrse1a1+g1KYpSSUrJ7u9nsHn8ZxhuLy0vH0Xray4keVB/\nkgf1j/p4Ii4RjEDEx8pMOxNiTsOvVd4D+oSVldaWzJmxgTFRTnBVxHQMJbcAsidOqkhuHUz6/BQt\nW0Nyn6r1XWt4Gu0OrnQhxLjDfS+lfPFIFzi2/gUrR80oyKfk24mU/m8C7R++u7IJrQ52O9hshDTj\nklJSWirxeiP38NaddtrffHkdRa8oiqIoitLwbfvvePyFRcjy0ktIien2sOH+JyrKMTV6npxg+alD\nSQmeCJOcxzEhBGlOO1kxdtIcNrJiHDRx2o56F5um62ScdTKtrzpPJbeiwJubR/aEL8j+4DO8Obn1\nHc5xQRoGO+6+C+l2V7xf6ho4HZCUWHmeZrNSti0bgNRLLkEcunPHYiH+5JPRnI1v4aXh8bLizkcw\n3J6KVd+Gy4N75262vv1prY0rWpxCco+MkPqqwRX0kRfGHvH9rMlpIA5JUAoLpJ5StfdCuRrYCQTK\nYygEuQhk+ARodRVM/BjXwt+RHg/S68UsKyOQt489/xgX+fzfFqJZwxcoGGVu9n4zpdrjZ110DrrT\nAVrl9J2wWLCnpZJ25inVvp6iKKGW3vk4v19zN3unzWXfrwtZdvfTzDn7Wsw/6+dyNAwvWqwtvKes\nzcHKtMERJ+p9mo1fcxvf77jDOVxfQSklWhV7rjVY0qz+17HvbSD+oK9Dvz+ixrnEqZFyL5pP3r/G\ngTSRAT/CaiWhVRNKdxdVri7SNITVElw96vdTVgZeXzC5ZbGA3x96zaSeXeg87ro6fy2KoiiKoigN\nVf6MX5CH3jQBmCauzduI69Kx7oM6Alm8EXJ/AV8hOJpCxhmImGa1N6AzCwrXgjzk70kAzqr3Szie\nWDQNi1p+2CBlf/wli//2MB6XiZSgWx6l67030O3xe+o7tGOae82aiO+VmiZITJQUFgW/NzxeEru2\nB6DpX8fiWrmKkgW/I8on/G3Nm9PqqX/XWdwNSfHKdYTPkoLp8bL725/oMG5srYwr7Ak4Rz5Iq4VF\nbP9iCabfRHq8lMz6nYQhgxDW0Kkmpx65XKI3N49dH06kZOUamg7vRHpfJ8IsAUscpJ6MSOp55GCk\nB8gDDp3kM0HuAHF0v3MLv/4S6TkkUWaaeDeuJ5C3D0uTtJCHdKcTGSnRJ0SNdtRZ4uMY+PMXrLz9\nQQp+WwhCkHbWaZzwyuM16umlKI2JlJLSTdsxfX4SurSr+L1xQOnmHWx576vQHZcuN4XL17Jn8iya\nnTc06jH5vnwae6oNr9+L6T6w2Etg7zuIpK6jYPqkiM9zZjWNeizHqtY3XErBkpUYZaE7W22pSSSc\n0KmeoooSefgKascrKeVRN8ZUCa5GQvp85D1+L9JbeWMmvT7SkyXxvU6keN0u7MkWbM060+ymW9gw\n7gFK1qzH66v8wCEEWK3BhWGmCcJmo92Nlxy7tU0VRVEURVFqgbVJCmzeGnZcBvxYkxMjPKN+yYJV\nsGty5Y6qsm2w5WNk2ysRMeHll6IipSfk/gqBA6vtAaGDIyOY/DpIIC+Xkm8+xbdmBdbW7Yi/6Cqs\nzVvVTlx/Yt+8xSy640kKl63DlpxA53HX0fW+v4ZNljRmpt9PoKgEa3LicTPx6tm9l4U3P4zXXTl5\nbgQkK//9Dk0GD6TpULWDoqaE1XLYiZwDh/UYBy0uGVkxsafZbLR7803cGzbgXrcOW/PmxPbq1Wj6\n9h3KEh+HDEQudWVLqt3fNyI+izbPf0LKFcvY88W3SI+X5ORMNJuDgAwgEEgkDt1BjCU8wVW6fhOL\nzrkM0+vF9PrYP2su6xx2+k6ZSGy7docd1/T5MAMGlopWCWVESvIFf7cUH/0LjbRgBUCIiAna5EF9\n0Kw2DMpCjmtOB83/ckmNQoht05IBkz4K7gLXNDUHoyhVULx2M/PG3IZr524QGtaEWAZ8/CLpp/Wr\nOCd3zoKI93GBUhe7p86OeoJLlhYg925FCIkjMw4ZMJGGRFg1tEAuffu3Qo+JAXfo+7rDrjN6dLeo\nxnIsa3bxSHJnzGPXV8FdsULXETYrA75849i+H5Cy1npwCSF0YBGwS0o5SgjRBpgIpAKLgaullD4h\nhB34CDgJ2A9cKqXcVn6NfwI3EKwFfLuU8qfy48OBVwAdeEdK+XQN4jsDuA3oXH5oLfCqlHJ2VZ6v\nfis2Et5VS4hULkBIk1ajMrCN7QiaFSEDELuaXlM+Z8e7n1Nw1xNIo/KHS4hgOUMhwBSCpkNUQ1NF\nURRFUZSDtbzlelavWIPprlxVKKwWEvv0wp7RsFZfSilh7/TwcoHSD3tmQru/1Mq4QrcjO9wIu36C\nkk3B5FZyD8g8M+SDqT97O3tvuxrp84Dfj3ftCsp+/oG0f7+Go3uvWoktkoJla5l59g0VPVC8eQWs\neuINPDl5nPTyA3UWR0MlDYMtz7xC9rsTkIaBHhND2/vH0eyqmk3mNiTZn/wvJLlVQcLKB19QCa6j\n4OjUGT0hAdPlCjkuhUaJz4qzRTIdbr2KjneGVwxxduyIs2PD2w1b1+I7tyOmdQtK1m8OmRTTY5y0\nueXqOokhsfeJJPY+MeRYwAxgSAOLsKBrkZPd6+97lEBJaUU20/R6MX0+1j/wFL2/eDfsfO/+Ahbf\n/CB7ps4GU5J0Yhf6jH+KxG4tiVwaUXCgspE0fKDpBOf3qid+2AgKPvmwsuxwOUt6UywZmWHna1Yr\nfb4Yz8KLbkCawfJR0h+g7Z1jSRnYp9rjh1z7WC+9pTQapmGw+c1P2fTGpwTKXDQ7byjdHrwVe5OU\nOhnf8PmYdeZVePMKKt5jjDIXv44ey8g1P1UsmrCnJkdckCOsFhxN08KOH44nJ4/sb6Zj+HxknXMG\n8e0i95KVAX9I/xdh0SqrswZ82O0WnntmBOPunYoAAoaJpmmMOqcTgwaoctMHCE2j91v/psNdN5L3\n6x/Y0lLIGHEGuv04eI+svZKDdxBMGiWUf/8M8JKUcqIQ4k2Cias3yv9bIKVsL4S4rPy8S4UQXYHL\ngG5AFvCzEBVbpF8DzgKygYVCiO+llGuqGpgQ4hzgVeCx8i8B9AbeE0LcJqU8Yn1fleBqNA60rA5l\nO7MbllQHAhPM4JZcWbQeYZ9H03OGIu55OngzeBApAV2j4+1/IbZVLZauicC1cw8b3/iE4jWbaDKw\nF21vvAR7anKdxqAoiqIoivJn0oYPpfWdN7PtpdcRVivSHyC+Rze6v/1KfYcWzvSA4Y78mGdvrQ4t\nbInQ5s8TIIXjX0K6KidAMQyk4Sb/5SfIeud/tRrfwVY+/nqwx81BDJebTW99To/H7sCaUP2yU8eT\nLc+8QvY7EyqSugGvj00PP4U1KZH0UcPqObqj48nZjxCRNxq5du2r+4COI0IIWv3nNbbccF3wZzvg\nB00j8cyhnPDvZ9XuyCrq/9WbzD/3Ojw5eQhdw/T6aXfH9WSMOKPeYrJoFix/Mt0kpaTg90XhP1hS\nUjD398pvi3Mwtv+Goblw25NIH92RwhUrcG3LpWDxKmYPuZLhq6dhT00B8gktU6gh3VbIfhM8ecEd\nV4ldoPk5CD1y/5ZIUq4bS+mcmfj37EG6XQi7HaFbyHzyucPuFEjs3YMh6+aRN2sugZJSUk4dgCOj\ncZbfVRqnhdf/g+xvp1csDNry9ufs/n4Gw5ZPxlqDUp3VtXfqLxgeb9h7jDQMtk74lq733QRAxvDT\n0KzhCS7NaqHNNRdWaawdX01lwbX3gdCQpsGKf75Al/vG0v3h28LOFYlpiLhkZGFO6AO6Fa3bqQAM\n6N+Cqd//hRmztlBW5mPggBa0b5dapVgam/jO7YjvfPgdv8ekWkhwCSGaA+cATwLjRPCX1xDgivJT\nPgT+RTDBdV75nwG+Al4tP/88YKKU0gtsFUJsAg5sh9wkpdxSPtbE8nOrnOAC7gHOl1IuP+jYMiHE\nIuC/gEpwKUH27r1CVgkA7MsN0PPUVuh2C9IwkW4fwm5FWIG8hTi7Dybz3KHsmTwT86Ca08KiceIr\nj9LuhrpdkZm/aCWzz/oLps+P6fOTM+M31r/8Pmf9/r86T7QpiqIoiqL8mdZ33Ezz66+idM06bE3T\niWkdeSVnvdPswd1TkT5MWavU07dWeZZFmAAFAtnbMd0uNGfkvi7RVrhiXcQ4hM1C2fZdJFWh3n/Z\n1p1sfO5N8hcsJbZdKzrcfRMp/U484vOORuHytZRs3Epit44kdGlfK2OYfj/Z704I2bEIYLo9bHvh\n1WM+wZV16bmseumTiI+lDqy7XYTHK2fXbnSZOYfiWTMJFOQT26cfzk7HeP+MOhbTqjlDlk+jcNEK\nvPv2k9z3ROxpdbNL4mhoNlvIPEPFcYcd6XXj++xRzC0rg+t042w4k500GzyKpvP/zS8D/oF7+z4M\nr4+tH3xF57tvALkJ2E0wyZWA9GfAlk/ALF+wK4GiteAvhvbXVjlOPS6O1p99TcmM6biWLMKa1YzE\n0RdgSfnzCWfNbiN9+JAqj6Mox4uSTdvZ+fVPIX2tTJ+fsp17+F9yH9LOGEjf1x8hoUPrWovBvXcf\nMmCEHTc9PtzZlQu4dLuNwT99yNzzb8JfVApacN60//vPENf2yDumvPmFLLj2Pgy3N+T42ufeJmvU\nGaT0Di0rKITAetHd+CY8BKYBAT9YHYiEVKynjKk4LzHRwYXnd63Wa1aUP/EycC8HtjUHyxIWSllR\nwiMbODCx3gzYCSClDAghisrPbwZUrkAJfc7OQ473r2Z8GYcktygff4UQokrlT1SCq5EQNhtpDz3P\nvkfuACQyYJCzx0SzaATW7yawOjt4wycleus09JPaowN9332GVQ++wNZ3P8dwe0jo3pZuL91MkwG9\nMKUHTTjq7DUsHPsAgdLK8hWmx4vP52f5P55l0GcNcEW0oiiKoiiNmiU+jqT+R1eOqLYJoSFT+sL+\nhcGyhBUPWCH9tPoLrJwWE4PhLovwgI6wWussjqTuHSndvDN8JbAvQEzLrMM8q1LJ+s38OngMAbcH\nDIPSDVvIm/UbJ33wIhnnnBn1eP0lpcwdPZbCZWsQuo4MBEg7rR8Dv3gV3VH1nQtVYZSURpxEAvDu\nPrpdgIbHy7a3PyX78+/RrFZa3XAZLa44v0539qT07UVav27s+2N1yHHNZqHHk/9XZ3EczzSnk6SR\n59R3GMc0IQTJfXvWdxhVJoQg89Lz2TPxa0xvZcUYzW4n67IL8L55F3LfjsoiNMVeTLcf7Zcf0C+9\nhQ73XcCKv43H9HgpXrMxuFBDdAI6Bd+nhYC86WAeWn7XANcepDsX4az6jiphtZEw/BwShqt/p4py\nJAWLV6FZLSEJLiivKyUlOTPmM23AJZy7cRr2lKRaiaHJoN4Rj+uxMaSfHjr3nnxiF0ZtmU3B4lUY\nXh8pfXtUudTd7h9mRyxxaHh8bP9sUliCC0Bv0QXH38cTWDodWbAXrVV39G6nIqzHQXk95ejUvAdX\nk/LdTgeMl1KOBxBCjAJypZSLhRCnRyHK2hDhw16VHqugElyNiOOkAWR98g2u2R9gFBTiXTCVkoU7\nsO3KhYP6bBlbc5GaFe0ED5rNwQnP3Ee3x8fiZQeaJVjq0B/IwevbxYYnptJ6zMWk9DmhVmMPlLko\nXrsp/AHTZO+0ubU6tqIoiqIoynEt43RAwv5Fwf8KC2Scjkiq/2bWcedfTvHH45Heg1b522zEDh6G\nsNRdgqv7Q39jz7S5GK7KOPQYJ+2uvwhb4pF3uq195AUCZa7KBJmUGG4PK+56lKYjh0S9IfaycU9S\nsHhlyMRx7pwFrH7sP/R46p6ojmVJSsQSF4s/3xf2WGzXzhGeEeyNse6F99n09heY/gCtLhlO94du\nxZaUUHGOGQgwb8TVFK9aj1leHrJ49Qb2zZjHSe+/ENXXcCRnzP2SZeOeZMv7/8Pw+Ejq2Zl+458k\nvhZXnyvKsUZKiWtbNkLXq5T47/iv+yjbuIXipSsQFgsyECCxTy/aXnEWgS+eCu+wEDDBHUDfvY3U\n04K/n/QYJyn9DknsHXg/9eYSWrLwwOMa+PKhGgmuP1O2eRs5U2YgLBYyRg/D2SwjKtdtSKRpsvn1\nj9jy2gT8xSWkDzmZro+PI7a16gmkhItpnhFx13vFISkx3F42v/sVXe+5sVZiSDqhE1nnDmH35FkV\nZRJ1p4OETm1oNjp8YZHQNFL69qj2ONI4TDJCysMu/gEQ8SlYT7u02uMpjUDNElx5UsrDrao8GRgt\nhBgJOAj24HoFSBJCWMp3cTUHdpWfvwtoAWQLISxAIrD/oOMHHPycwx2vqnZCiO8jHBdA26pcQCW4\nGolAmQvNZkVPzCJ+9D/Jffp2YlNsBFbvwhZ/yGoDCebmXZgb3kHEnwQbviHQZSBak5ZAcLWkZtHR\nLDotr+nLjP5XMfiHd0g/rW+txS+sFoSmIQn/BWGJqbtdZIqiKIqiKMcbITTIPBPZdHCwH5clNnis\nAUgY8xcCO7dRNutHhM0Gfj/2E3qT/Pd/1mkcKb27cfqUt1l8x5MUrliHLSmBjndcQ/cHb6nS8/fP\ni1xq0be/AN++fOzp0eutIE2TnZ9PDkluQbD6wdb3vox6gktoGu0eupsN9z9ekYgC0JwO2j0YeYfT\nL+f9jdw5Cyv6mm149VN2TZrNyJWTKlZN50ydTcnajSHXNFxu9kz+meJV60noXndl7DRdp/crD9P7\nlYfrbExFOZYULF7Jgqvvwrt3H1JK4tq2pP+nrxDf6fC9UfTYGPp8O4GS1etwbdpCbMf2xHXpiP+X\nL8GIMDEswfT60aSJO3s/6DrWhFhaXXV+5AFimkPptuCurZDrGOCITnJr43Ovs/mFN5GmiRAa6x99\ngW7PP0KLqy6KyvUbiuW3P8LOid9XLPLY9c2P5M6cx5lLpuBo2qSeo1MamtRBvXE2y6B08/awJM+B\nuXvD7aFg2dpajaP/R8+z7cOv2Tx+IqbXR8srRtPh1qvQolgBIGvkYBbd+q+w47rTQctLRkZtHOXo\nlCxeQu7X3yEDAZqcew6JJw+M+uKy6KjxDq7DX1HKfwL/BCjfwXW3lPJKIcSXwMXAROAa4Lvyp3xf\n/v388sdnSilleQLqUyHEi0AW0AH4g2ASqoMQog3BxNZlVPb2qqrz/uSx56tyAZXgOs4VLlzGqrse\nomz9ZtA1Mi84h67PPUzC+TeR9f18bI7D/EBLMLZtxnCtJeCzIvu1QUdHJwB+N1pJLmgasa2a4IgV\nLB33FMMWfVNrr0O32Wh23lB2ffczpq+yfI7udNBu7OW1Nq6iKIqiKEpjITQLaPXfd+tgQtdJvedR\nEq+7Ff/2LVgysrA2q1o/M39hMbk/zUIaJmlnD8be5Oh60jQd3I+Ry75DSlntD8W2Jin4C4oiPmaJ\njz2quA4lTRPTH4j4mOEO73cTDZmXXYQlMZFtz7+KZ9du4rp2pu0D40g8KbzHWP7iVeT+sigkFtPn\nw70nlx1fTqXNVcHPuHlz5mMcVJ68gpTs/21RnSa4FCVaAqVlBIpLsWek1Wmpzdrkyy/k1xHXECip\nrCJUvHYTc4ZeyYiNc45YFjW+W2fiu1Xu9hRJ6WC1gT+0vBki2A880KQ52x7+gBZjRtLjqXuwxsdF\nvnBqH8j7AxlwV2zqkqZAJLZD2I++R1nxqnVsfvGtijJsB5YwrP6/R0k/6zTsTdOOeoyGwL07hx2f\nfBu6aMI0MVxutrwxga7/uqv+glMaJCEEp0//kN+v/j/yflsSvCeRoXlr3ekguVft9pjSdJ2214+h\n7fVjjnxyDTnSUznpPw+x5PbHMQ0DaZjoDhvtbhxDE9Wn808ZXh8bXv2YrR9+g9B12t14Me3HXhrV\nBCTAjudeYs/7HwV7PkrJ/slTSB01knZPP9HwklwSMMMXxNWS+4CJQogngKXAu+XH3wUmCCE2AfkE\nE1ZIKVcLIb4A1gAB4FYpgytIhBC3AT8BOvCelDK0rvcRSCnnHO2LUQmu45hr204WXnBtxXZcDIM9\n30zBvXsP/b/7iI5ff4f/3TvAHfrB0fSblGwvomjaT5gBCRYd8dZ84h97CGevDiTumI6QARACi5S0\nOz2dlV+vr/XXc9Ibj1O2YzdFqzYEewn4/GScfSpd/nFTrY+tKIqiKIqi1B9Lk3QsTaq+4n7PpGks\nH3sPQtdAghxn0PWZB8kaPZR9Lz9P6azpIDQSRowi7e/j0GKrnmSqyYfh9nfdyKq7n6i8Lwc0h51m\nY0ahO6NbjUCzWEjp24P8BcsOeUCj6ZmDojrWwdJGDCVtxNAjnrd/4cqIu9kCpS72zVtSkeByZDZF\ns9vCdqJpVgv2dLVjQDm2BMpcrLrjQXImT0NoGpaEeLo+/y8yRp1V36EdtZ2fT8Y8tBSXlJheH3sm\nz6D5xdXbxaB3HYT/h/ERElwChgzHntqDU7786IjXEdZYitfEo/u34mifivQZlP6xA/fWtWS8eEFw\nV/BR2PPtVExfeGlWdI2cqTNpee3xUX6sePUGNIc9fFew18f+3xbXU1RKQ+fMTOeMnyfg2ZfP7BE3\nUrhyAxjli9U1DT3GQbvrj82djr78QtY98wa7v52G7nTQZuwVDF/2PTu++hHT66PZ6DMj9t5SKknT\nZObQa8hfvKZiwdPSe59j95RfGDz5raglntxbt7H73Q+Q3srfJ6bLzf5JU2h62Rjie4UvxKp3Ud7B\ndTAp5WxgdvmftwD9IpzjASJmhaWUTwJPRjg+BZhS07iEEOcBzaWUr5V/vwA4sErkXinlV0e6hkpw\nHce2vfUhxkG7nQCkz0fhwmUUzfsV/afx2Ae2JzBvRcVyI2lKijYVULytGHkga+wPIAuLKL73QbSJ\nH1CW2pf4ffMqntPx7kFsWTSj1l+PLTGeoXO/oGDZWsq27CDxhE6q7r2iKIqiKIoSwpuXz/K/3hNc\nqXmQNfc9ju+z1zHy90MguMOp6JsvcS9fSqtP/1erqzhbXn0Rru3ZbH7lPTSbFdPrJ2PEGfR4sXZK\n3vV+7VFmn3EFps+P6fWhOx1oDjs9n7u/VsarjpiWWQhLeEN23Wknrm1lCf8WV5zHhmdeDztPs9lo\nOuKMWo1RUaJt+Y3j2D97HtLnRwI+j5cVN92N47uPSOrT84jPb8hcO3eHlBI9wPT6ce/Orfb1hMWK\n/aYX8H31AnLnOpASkZSK5cJb0dv0rfJ7tVGQT+GH78MhSSjhcFI260fiho2udmwhJOF9wioeq7MV\n+LUutnVz5CHzSgDoOvGdqtQaRWnEHGkpnDl7AkvvfpatH38XvP8ZOpA+rz6MPSWpvsMcG1uBAAAg\nAElEQVSrtoDLzcyTL8K9O6fi52L1Q8+Tv2Ap/T58sZ6jO3bsmTaXgmXrQnbzGy4POXP+IO/3ZaRF\nafdb4exfIh43PR4Kfp7V8BJcMvolCo8R91K+U6ycHegLxALvAyrBdTwzfT6yP/yc3Z/9D6Qk6/KL\naH7tZWjlK5GK1myo+PB+MGG1sP/LD0jz7ka064eesxczOx/pM/AWefGX+pGRbsgCAbxTpqNfc3kw\nwXWAIen16CW19TLDJJ/YheQTu9TZeIqiKIqiKMqxI2fydIgwARpjNzDy80Puj6Xfj2/ndlx//E5s\n/4G1FpMQgi4P3UmHO2+kdPN2nFkZUe27daikEzozbMVUtrw9kcKV60np24O2N1xy1GUaoyHz7JOx\nJSdguNwhzdmFxULbay+s+N6R2ZT+X77J4mvHEXC7wZTYmzah38TXK/p0KcqxwLM7h/2z50Xsi7fl\nP2/T+6NX6ymyo+PZuB7v+nUkNk9Gj3VilLlDHhdWnfj2Ldn8xHMUL1pKTMf2tBh7LTHtj5wU0VIy\ncIx9DulxARLhqH4pV+/qZQiLFXlIgkt63Lh/m3XUCa7M80ew9fUPwpN7hkn6iCFVvo4rey+b3/8f\n7uwcmp45gBYXnBX1El1HI65DG5L79iR/wdKQf8O63Ua7266px8iUY4U1LpZ+bz5Kvzcfre9QjtqO\nz77Hm7s/JOlruDzsnvQzJRu2EN9RJX2rYt/cxQQilKE2fX7y5i2JWoJLczoRmha2FkFYLGgxzqiM\nEXWNM8Flk1LuPOj7uVLK/cB+IUSVbgBUgusYJaVk6RVjKVywGFl+k7HxiefZ99NMen/1PkIIYnuf\nQPGCpeE3dD4/jg5tYNVWjHXZWM4ciLZuM3LnbsyCvZiBw/wwBQKYeXkgdKTVivCXv6FbdLKGn1Kb\nL1dRFEVRFEVRqsT0+iJ+OLRZJATCV6FLvx/vxvW1muA6wBIfR9KJdVO2xpnVlG6P3FEnY1WHZrFw\n1q+fMu+K/yN/4UoQgri2zRk04TkcaaEJuCaDB3D2pl8pXrMRzWolrlPbhtcvQVGOwLN7L5otvNwm\nUuLasv2ori2lpGTdFgIuN0k9O6NZan+Kx/T5yL7rNlyL/wAtWAa2TQvJth02Aq7ga9SdDpJO7Mqm\ncfdier1In5/iJcvJ/XoSJ3w8nqQBfas0lnDE1DhOLT4h8g4rTUNPOvpkf8IJnWl72/Vs+e97yIAf\nhIbQNbo+/QCOjKqV1N07Yz5zRt+CNAxMr49tn05izTNvc9avn2JpQJOv/b94naW3PsjeST8jAWez\nDHq9/gTxndrVd2iKUqfyfvkjpNz0AULTKVi0gpgWmez94CP2fzcJYbORfvmlpF9yMUIP37nemDkz\n09GdjrDesLrdhiMjemWoU4YNZdujYRX1ELpGk9GjojZOVDXOBFfywd9IKW876NsqNbRUCa5j1P7Z\ncymYuyDkH770eClatIyC3/4g5eT+tLjxSnI++Bwj4K9oUiccdhLOHozTsw8A35wVWLq0QOvaAXFi\nV6yWJVi2/Q4FERpQ2+1YT+qF1Z+LcNjBagWXC91uhYQOdfK6FUVRFEVRlOiRpgc8W8B0gbUp2Jof\n8wmE9GGns+6R58KOG1IHuwW8oX1dNJsNW4tWdRWeAsS2zOLsuZ/h3V+A6Q/gzDj8Z1eh6ySe0LkO\no1OU6Irr2A7TH55cF1YLKYOqluiJpGTDVuZecAuu7L0IXUOzWuj/wXNkjhh8NOEeUd7bb+BatCCk\np4nVYqHDgJbs3GkiLDqtrx2DZ8kC8te7KucsDAPT7WbDvQ/T75eptRojgL17L7SYWAyPK6RkoLDa\niDs3YnuRauv4wB1kXnQOOVNmoFktZIweRkyr5lV6rmkYzLtiXMhkeaDURfHaLWx47RO63nNjVGKM\nBmtCHP0mvIzh9mC43FhTko75ewVFqYnYti2DCxYOLX0qwJGZztrLrsK1cVPF++OOJ5+meN5vdHj1\nlfoIt8Fqdfk5LPvnC2HHNauVFheeHbVxrMnJdHztZTbcdhdC15ASZCBAmycfxdGiau/Vdarxlihc\nIIT4q5Ty7YMPCiFuAv6oygW0WglLqXXbX3oNQfg/etPtpnBBsNFnUlYmHX+YQPzZg9FiY7CkNyHt\n79fR9sWH0LeuDj7B5cX16vf4pi/Bv3YHjvZpWOJiscRY4OD7FU2gt22N/ZQBxJUsBiGQmoYhBaWF\nrRDWOAyPF8PjDYtJURRFURRFaXikPwf2fwVli8G9CornQOFUpDTqO7SjEtO6Be3uugnN6QjuLhAC\nPcZJ4ujz0WNigscO0HX0pGRiTz61/gJuxOypyX+a3FKU44ElIY7Wt16PfvCOHE1Ddzppc3vNkhhm\nIMCsoVdTsnEbhstNoKQMX34Rv112O6Wbd0Qp8sgKv/4yJLkFBEu/5uxg6KLvOWvJD3S4/VqKfl8Y\ncaLOs30ngZLSWo0Rgsnx9GffRE/PQDhjEDGxCLuD5Fvvw9Y+eknz+M7taT/uJtr+/YYqJ7cAilZv\nxHCFLyw23B62fTIpavFFk+50YEtNVsktpdFqc90YhDV0N5bQdexNm6C7i3Bv2Rry/mi63RTMmM2O\nt94nb/psNWdazp6SxJDp7xPTMhM91oke4ySufSvOnP1R1HevJg85nT4L59Lu2ado9/Tj9FnwC+kX\nnh/VMaLKlNX/OvbdBVwnhJglhHih/Gs2cC1wZ1UuoHZwHYOklJSsWIk8TFLXlhrc2SeEoHmXTsS/\n/xKe8l4DMRYb9qIyzHZNMbfkQsAAXwD/4o1o2/bguGQgqU+9Ac8+jGf9BvylfrDbcF40gsSLTya2\n6Ec0GXxDFpog9/c9ZH+7Et35E4XzFwKQ1P8kur7yb5wtI9/cuXdks238x5Rs3UVCz260vnYMjlrs\nQaAoiqIoiqKEklIGE1oc3K81AIH94F4HMXVTRq+2dLjvVtKHnc6uL75HBgJkXjiS5P698WePZe9j\nD+FeFlwQFjvoFDIefAxRB2W9FEVpvDrcfwex7Vuz9T/v4MvLJ/W0gXS4/w6czbNqdL3cmfOD/UsO\n6Z1t+gNsfvcLej51dzTCjigsuVXxQHkZ2PKe4Jb4OIxIiSxNQ6ujPnrWlm3ImvADvvWrka4ybF16\noDkbRuk/3W5DHmZiUnfaozqWLMtH5m1DxKchUlpE9dqKcqzyrluNe/li9OQUYk8dguY8cknUmJZZ\nnPztOyy64V48+/LAlCT37k6/CS+T8/Z4TFdoXymfT+It8VD6xEsIqxUE9PzodVJO7l9bL+tPSWki\n96wFVyEivQMioWrlVGtDk/49OW/bLIrXbUHoGvEdWtda8lyPjSV1xLBauXZUSRrlDi4pZS4wSAgx\nBDjwIfQHKeXMql6j1j7JSSkBP6AhhPrAGE1yzwbk4fpkAWkjhlb8WRcaKfYYOOj+aO/KpbhlAllD\nmhBYnQ1+A0vnLPQezSne4SJ5eGfSnniDdeefi1mWT3yPDDKHJaMbm0LGMX0BZG4h8QVrSUmKp9Ww\nNIpzvexasZSFIy7l5EUz0J2OyrgNg433PEDe198iJQgh2T37Zza8MJ7BMz4jsXun6P0lKYqiKIqi\nKIdnFILpi/QAeDbVOMElDQPXb7/gWjgPS0oT4kecj6VpxtHFWkOJJ3Yj8ZB+V7YWLWn59oeYPh9C\nBEtVKdETKHOx/uX32fHpJIRFp+0Nl9D+livQrNb6Dk1R6pUQgmaXnk+zS6OzatyTsz8suQUg/QHc\nu/ZGZYzDiTttMMU/TQUjdLevvUNHtJjKXvDNrr+abS/8F/OgHivCbiN99Eg0W9299wohsHfuXmfj\nVVV8xzbENG9KycbtIf8v9VgnHW6+PCpjSGli/PIOcuOvoFvANBGpLdFH3Iewx0VlDEU51kjDIOdf\n9+Ka/wvSMBAWK3kvPkXWK+9g79T1iM9vckofhq2bgXvHbjSno2LBvi0zA2G3VywCME1ZURXb9Hor\nSmQvv+pmTl35K5a4uv0ZlCW5BCY9Dp6S8qAMRIdT0U/7a73tyhRCkNhF9fKr1GhLFAJQntCqclLr\nYLVSotCURRhyafnXYgLmWqQMrzmt1Iws3kdK+8TQEoLlYlskY0//8zIfsa2bseKlxfhTk7COOomY\nq05G69Ycw2OyfWbwJnXHPeOQJcUIAWWLtiP9RtjqImlKvH9sJinTgSPegiPWQpNWMXQfkkZxbhEr\n//F0eaIzaPf4d8n79nuEOFAtRmC3mDhlGUtueeDo/2IURVEURVGUKvqTD7KiZh8RpM/H7tuvI/eJ\nf1Ly7RcUTHibnVeNxrVgbg1jrD2azaaSW1FmBgLMPONK1j79FiUbtlK8ZhMrH3qRuRfdWt+hKcpx\np8nJJ2EGwsvJ6rFOMs+u3ZKr6Xfcg56cjHAEd0IJmx0tNpasfz0Vcl7zsdeSfv4ohM2GFhsDQuB3\n+djx1TTWPfJcWA+bxkYIwWnfvY4jLQVLfCx6jAPd6aDFhWfT5urzojKGuXo6ctM8MPzgc0PAi9y3\nFWPWG1G5vqIci0qmTcY1/1ekxwN+P9LtwiwtYc8/7wiZw/wzQghiWjULqUbV5MLzEXrlPXSE1osV\n8n6aVeP4ayrw04tQmgd+T/DL8CM3zQsmwJUGQ0qz2l9KLSS4pHRjyvWAj+DeOgkUY8h10R6q0RJN\n29LmzEysMTqaJTg5IXSBbtfo8s8bjvj8+HYtievUlannfc/Sf//Ops/XseLlxUw59zsyzh7B3m+n\nUrZ0SbCONiADJlv/+T3+3BIMt49AqY9AiYc9z03Dn11IyY4Schbn4inwoGkC3Spo1zOOdW98yYIb\nKxNXu9/9AHHID56mCWKcULh0FYGDmqsqiqIoiqIotUhPBC1SmSYLODrW6JLFk7/Gt2Ed0l1ensXv\nR3o95D72D2RALXY73u2ePIvSjdswD+ovYbg87JvzB/kLV9RjZIpy/Ilr24I211yIHlv5Pq47HcS3\na0Xzi0fU6tjWpk1p981U0m6/i4Th55B641jaffcjjs5dQs4Tuk6n55+gx5cf4SkL4Coz8XokgdIy\ntr01gWVj76nVOI8FiZ3bcX72HAZ9/BwnvfwAwxd/zaCPnkVo0ZmqM1dOhcAhJSXNAHLncqTPFflJ\ninKcK/n+K6QnfP7RLCnCt3lDja9rS0uj03tvY23aFC3GCboe8TxpmgRKy2o8Tk3Iklwo3BW+8zfg\nxVj1Y53GovwJWb6Dq7pfSvRLFJpyL3DoX64E3EhZhhCxEZ6lVIeWnIWz1yn0ucVCztJcSna7iElz\nkjGwDXHnXlmla5z2zassuPFBtn43g63fbcWZ0YTkrp34Y8zNWCzQLN2PVr6wV0pJ3qr9bB/1MQmd\nUnHE6djz9iPKd3Qd2NmVv76AzL4ZaLogNcuO6S9g+2eT6XrvjSR0akugsChiLAd2wmqWyG/+iqIo\niqIoSnQJIZCJZ0DhjwQbu5qABrZMcHSo0TVLp09Gej1hx6Vh4N2wFkfXHkcXdDmzcB/GppWI2AT0\njr0Qh5lAUOpW3rxFwZ5Ah5CGQd7vy0jpG53//4qiBPX+7yOkndKHTW9+SqDMTcvLzqH9zVeg10F/\nKz0+ntQr/gJXHPncXV9MIuAzQuZVTY+X3Kkzce/cjbNFzfqQHS80q5Xmo8+snYv7D7OIWAjwe8F2\n5J5DinK8kUb47lcg+HNxuMeqKKFvH3rNm41n8xaKlq5k7T2PYhzSlwtTknrGKUc1TrUFfIev0OA/\nTF9FpX6ohFWNRD3BJQn/UBskkHgRqARXNFhG3onI+IFmqT+C34vWvh+WQZci7FW7QbHGx3HK5y8T\nKHMRKHOz+fWP2Pyf9zG9PvwBgSXGgukOYEm0sX2jH2+ZiZRQtmQ/WVkCR0KEsjYCvMVeHMkO3KXl\nvxQ0jdxfF5PQqS3WrCz8O3eGPS0QgPj2reu0DreiKIqiKEpjJywpyNRLwLsDTDdYmyKsTWp+PZs9\n8gNSRqUcoJQS3/fv4p/1v+CqWCEQNgfOvz+Hltn6qK/fkJiGwZ6pv1C0eiPxHVrT7NwzGnwfq5gW\nWWhOO6Y7dKJEs1mJada0nqJSlOOXEIKWl42i5WWj6juUP1W0fA3SHwg7rtntlG3e1iASXNJVin/B\nNMyc7egtO2E56QyEPdIu52OLaHFisPzYoSWsnEkQk1Q/QSlKPYsfPhrflo3BEoUH0ewObO07HfX1\nhRA427fD0a4tuT/OZP+MXzBcbhACzemg5U3X4GzZ/KjHqZbELLDYw3d06la0dgPqNhblz5lVK5Op\nhIp6gkuQgKSY4K6tg5kquRVFQtOx9BmNpc/oo7qOJTYGS2wM2yd8jVl+05nZM4m4zrHsXlVKUbYH\nV6mJkJU7rY7UejDgN9m4pKT8XEnhouXktM6k5T3/x6a/3wnI4KphKZFASZmg7/v3H9XrUBRFURRF\nUapPCAs42kblWgmjL8a7dlVY2RctITEqEwbG6gX453wTXIVaPlcqPW7cb9xPzKOf1FuD7GjzFRTx\n86mX48rei+HyoMc4sCUnctZvn+PMTK/v8A6r1RXnsupfr2By0OSJEOgOO5nnnFF/gSmKUq8Se3al\naMmKsCSX6fUS2651/QR1cBw5O3G98Hfw+8DvJWD7Gd+UD3He8zpaYuqRL9CA6X0vIbBjaXAnl+EP\n7uDQreiDxx43vzMVpboSzr2I0tnT8K5djXS7ggu0NI2mjz0f1aoAQghOePtl8qbNYu83P6DZbGRd\neTHJA/pEbYwqx6Jp6ENuxZj2AphG8Mtih9gUtBPOqfN4lMM4UKJQqbaoJ7g00RRD7gUOrrOvIUhF\niMOs6lTqjdcwyff66LZ4KtIwKPhmKu73/8PvH+3CCMiKPKWugcMR/FkrKpbExQnCykJL0BxW1vxW\nRO52DzYbiICHHR9+SfanX+Ns2Yz0IcMo/nk6mjQIBMCHlWZjhpE2tHYb4SqKoiiKoii1K3bIcNyL\nfqf05ymAAF1HWCxkPP3fqEyk+X/9HnyHVouQyLJizOyN6C1q1jusoVl6zzOUbt6B6Qt+ngqUlGG4\nPSy8+WFO++7Neo4OvHn5+IvLiG3dLKRPjL1JCoOnvs/vV4/DszcPKSXx7VsxcOIrdVIyTVGUhqnN\n364l+5OvMQ5KcGkOB+nDBjeI3VueT54Hd2llbxqfBxnw4/32LZzXHNsLcUVcKpZLnsdcMx25ey0k\nZaKfMAKRVP9/74pSX4TVStbL7+BeOB/3kj/QU5sQd9ZILMnRT2gLTSNt+JmkDa+lMqTVoLXoibj4\nWYw1M6B0H1rzHogOpyAs6h5NOfZFfweXsKBzAqbMRlIA6Agy0IQqS9HQBEyTXLcXCQiLjrDoJAw9\nlfW3PobpD92BZ5T3rbPZoKwMSsogMUmAIRF6cMLCGxfHtA/2IBxOLJbgjq8Dcxmm36Bsyw7cndrR\n7aN32PXZ18iAQdaYc0kbdoZaPaQoiqIoinKME0KQdt+jJF52LZ5li9CTkokZeBoiSmWopSe8v1P5\nwBCh99exaudXP1Yktw6QAYM9P/6CaRho9dRzzLu/gN+u/D/2/bIQoWtY4+PoO/4Jmo2q3J2V2r8n\nI9f/TNnWbIRFJ7almkRVlMYupnULBkz5hNX3PErhwuVY4mJoce2ldHrorvoODen3YW5dQ0iDMADT\nwFgxv36CijLhTEA/6SI4qb4jUZSGQ2gaMf1PJqb/yfUdSp0SiRlYBl5Z32Eof0bt4KqRqCe4AISw\noYvolDpRak+xPxBWSLJk8ergJIQvvBmpPwB2O1gsUODW6XJ1G9zZpWg2DUeLeOa/v4eu99+EpSyf\n9W9+GXaPiIScn35hwMT/0uT0QbX2uhRFURRFUZT6Y2vVBlurNlG/rqX36fh2bAhvhi0lWqvOUR+v\n3oTdRB84XrdhHGrOqLEULK3spWO4PPx2+Z2c9dsXJJ1QWYJSCEFc2xb1FaaiKA1QYs+uDJr2OVLK\nhrW4VdOCiyQivb/W02ICRVEUpZGSqARXDR1aZE5pRPxG+F2cHutEHqbLVkUPLgGdLuyMo1kKiSc1\nI65zGtk7m3DCf1+gx+PjsHiKDjumlCZSNcxTFEVRFEVRqsk6aCRaZiuwOYIHNA2sduyXj0NYq7ZL\nzJeTw57XXmfbgw+RP2kSps9XixHXTPMLzkJYQ9chCl0n46yT6233VtHqjRSt2hihh46P9a98WC8x\nKYoSTpome7/5gSVjrmPxxdey58vvkIZR32FVaFDJLUDoFvTuA0A75L3VYsXa/+z6CUpRFEVppMp7\ncFX3S6mdHVzKscGuCzxeP96Fi5BlZdj69iFhYC90pwOzNLwEzIHS+Xp8LPGX3oelczrS50aktaXz\nQTVb407siSP2Z9yl4T9kST27qBr8iqIoiqIoSrUJqw3nuP8QWDqHwMr5aPHJWE8ZhZbZukrPL/nj\nDzaNvQlpGEifj4IffmDv+LfpNPEz9NjY2g2+Gno9/w/y5i3Bsy+fQEkZlrgYLPGx9HnzsXqLyZW9\nF81q4dBpcmmYlG7ZWS8xKYoSbtXNd5M3bSaGK1iRpXjRMnInT6PHB682uORSQ+G4fByul+9EFuYF\nJwqFQGvWFtuo6+o7NEVRFKWxUQmrGlEJrkZMrF3P3uturCwz4vWxrPs5FJ17FW0nvgV+P6Y/+IPl\nKC9NCKBZbbg6dmLV7MV4P/kc2+7dZF0wnLZ/+wuW+DjSLx1D6htvs2djIaYZrLIiBGhWC30/fLG+\nXq6iKIqiKIpyjBMWK9a+Q7H2HVqt50nTZOvdd2O6K8twmy4Xnu3byfngA7JuvTXaodaYvUkKI1ZP\nYdd3MyhavZH4Dq1p8f/t3Xd8XXX9x/HX99yZPZvuRXcLhQ5o2atSqFC2IshWHKCIE+WHoKCiyJYh\nKoIIAoIMmbKhQCmj0EHp3nQmaZrk7nO+vz+SjjQpbUOSk/F+Ph7nQfs99577viW543zO5/s9dTKB\naMS3TEVjRuImko3GA9EI3Y+auNvHSWyoYPUTL+Kl0vT68hHkDOjTkjFFurSqmbPY8MIrDV7n3Fic\nitffourdDyicON7HdO2XySsk+4p7cBfMxG5YjdN7EM7AkW1aELTWUvPBB1S98ipOTjYlJ5xApF+/\nNnt8ERFpB6xVgauZVODqorx0mgUXfBNv07bpBB1g1EdPc2vp6Tw95ttcckwuxc/+G2/+AowB4xhM\nJItlP/kFr76xGJPOwTvzIko/nEH1DXex6uH/cvhbjxMsKGDfZx6n4Jrfsea510mlofjgA9jnT78n\nUlbi35MWERERkS4puXQZ7ubqRuM2maTy6WfaVYELIBAO0+/04+D04/yOAkC0rITB3zmTxX95GLe2\n7uS5CQYJFeQx5Dtn7tYxVj76HDMu+BkYBzyPjy//A6P+72JG/OxbrRldpMuonPYuXrrxtKtuPEHF\nm9NV4PocxnEIDh8Hw8e1+WNba1n2s5+x6X8v4iUSEAiw9s930+9XV1N68sltnkdERHykZX2aRQWu\nLqrylddwaxtPQxjCZWLNLB5yjubvb2zmgesmU/nKQOLPvE5k4hHMmHQ6S0weHg4E6n58KidOJNkb\nzC9vZ+VDTzLg/K8S6dWLYXfexrBGjyAiIiIi0rZMJIzdyRWRJuJfZ1RHMuaPl1M0ejjzb76X1KbN\n9JpyOKP+77tESop2ed9kxSZmXHA5brxhF9gnv7mDnsceTuG+w1srtkiXESoqJBAO42biDcadSIRQ\ncaFPqWRXNk+bVlfc2tJ5l8lgMxlWXHU1hUcdRbCgwN+AIiLSNizq4Gomx+8A0vYSa9bx8cW/wE02\nvrrLwdLDbmKiWUw4UUP14nkMGpek+6g88jbO5FMvp664tZ20F2DhwPH0On4E835yNbGXHsJaVZxF\nREREPo+1lop33mf53fez/n+v4WUyfkfyjZdKsebRp5jznR+x4Je/o3bh4hY9fqRPH6IDBoDT8HOs\nk5VFt6+d0aKP1VkZYxh47skcO/NJpi59lfG3X01Wz7Lduu+ap1+FQOOvnm4qxfKHnm7pqCJdUtkJ\nk+vWBtiRY+h+4pS2DyS7pfKZZxtMK7mFCQbZ/NbbPiQSERF/1E9RuKebqIOrK5r7i+twuhfjbIhD\neocTKQb2yd7AmMCrBK1H4MMe2MO6E0h7pELRnR4z5QUY/N1DWPPkxyz41U2Myg4TOuiUVn4mIiIi\nIh2TG4vz3snnUf3JfIybwQSDBIuKmfD8v4j27O53vDblJpK8P/VMYguW4MZiEAyy6r6HGHnbdfSY\n2nJT9O11260sOOvruLFYXTeXtRQcdRSlp53W7GN66xbivXUvduMSCGXj7D0ZZ9ypGCfQYrk7Ay+T\nqVtXYEcWbCbd9oFEOqFQQT77/esvzDrvErxU3cWsJhhk9N9uIVxa7HM62RkTDtUVJpt4jTQhnbIT\nEelSVLBqFr1bdkGb581l+K3fZuVv/0lm1jysZ3EMWAPhkCE36pKKpUkmLYlXl8GqSrKyg0RTtRTU\nbqQyv0eD4xksw0tqCBdnE3Bg44IqMm88THDiSRhHTYIiIiIiO1p43W3UzplLbjiNCQGksZs/Y/b5\nF7P/84/6Ha9Nrf7nI9TOX4QXT9QNZDJ4mQzzfnAFZZOPxomEW+Rxov37s89rr7J52jTSGzaQs99+\nZA0Z0uzj2crVuE9fC5n6afdStXiznsbWVhI8QutKba/nlCP48NJrGo0HohH6nto+1hkT6QyKJo7n\n0DnT2PzhLLCW/LGjcUIhv2PJ5yg56SQqnnpq23vgFtaSf/DB/oQSEWkDtUtXsuAPd1E+fSY5g/ox\n7CffonjCGL9j+ceCdTUjWnOo+tAF5Y4ZzLvHXsWql+dRvtEjkTbUeiGyC0MUlgaIV3ukErbuAiIL\nqY0JbNrDAJOn30concRx6660DHppskMux/Rfy/ppS3Gcuul2SCUg1bjNXkRERETgs4ceJyeSxnEM\nxtRtjgPugjkk16z1O16bWvfEs41P7AEYw+aZs1r0sUwwSMERR1B6+ulfqLgF4LDfB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LsOmGJzLceJJPb7yXg/91Y2vGFpEOJrO5mo+mnEx6Yzm2fjrTxT//JTWz57LXLy/fxb07p9KD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\nFbhERERERERERERERESkQ/l/3W5+LCs4D+wAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"perplexities = [2, 5, 30, 50, 100]\n",
"#perplexities = [2, 5]\n",
"\n",
"\n",
"fig, axs = matplotlib.pyplot.subplots(1, len(perplexities), figsize=(30, 5))\n",
"for i in range(len(perplexities)):\n",
" tsne = sklearn.manifold.TSNE(n_components=2, init='random',random_state=0, perplexity=perplexities[i], n_iter=5000)\n",
" X_embedded = tsne.fit_transform(X_gdp)\n",
" cm = plt.cm.get_cmap('RdYlBu')\n",
" plot = axs[i].scatter(X_embedded[:, 0], X_embedded[:, 1], c=list_of_gdp_values, cmap=cm)\n",
" axs[i].set_title('Perplexity: {} \\n Iterations: {}'.format(perplexities[i], n_iter))\n",
" axs[i].set_xticks([])\n",
" axs[i].set_yticks([])\n",
" \n",
" \n",
"cb = plt.colorbar(plot)\n",
"cb.set_label('GDP per capita')\n",
"matplotlib.pyplot.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3.3. Principal Component Projection "
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/duarteocarmo/anaconda/lib/python2.7/site-packages/ipykernel/__main__.py:11: MatplotlibDeprecationWarning: pyplot.hold is deprecated.\n",
" Future behavior will be consistent with the long-time default:\n",
" plot commands add elements without first clearing the\n",
" Axes and/or Figure.\n"
]
},
{
"data": {
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iIoY99sA32t9u3VhorV0G3ATcZIwZSvrmwheBAbuzvTGmD7A/8CFQ0lRgA2wA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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# PCA by computing SVD of Y\n",
"U,S,V = scipy.linalg.svd(X_gdp,full_matrices=False)\n",
"VT = V.T\n",
"Y = X_gdp\n",
"Z = numpy.dot(Y, VT)\n",
"\n",
"# Number of PCAS to plot\n",
"k = 4\n",
"\n",
"plt.figure(figsize=(12,12))\n",
"plt.hold(True)\n",
"for i in range(k):\n",
" for j in range(k):\n",
" matplotlib.pyplot.subplot(k, k, i*k + j + 1)\n",
" cm = plt.cm.get_cmap('RdYlBu')\n",
" plot = plt.scatter(Z[:, i], Z[:, j],c=list_of_gdp_values, cmap=cm, marker='.')\n",
" \n",
" if i==k-1:\n",
" plt.xlabel('PCA{}'.format(j+1), fontsize=10)\n",
" else:\n",
" plt.xticks([])\n",
" if j==0:\n",
" plt.ylabel('PCA{}'.format(i+1), fontsize=10)\n",
" else:\n",
" plt.yticks([])\n",
"\n",
"\n",
"plt.show()\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Method Comparison "
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def plot_dendogram(matrix, labels, method, name):\n",
" \"\"\"\n",
" Function takes a matrix, plots the dedogram and returns the clusters.\n",
" \"\"\"\n",
" \n",
" Z = scipy.cluster.hierarchy.linkage(matrix, method)\n",
" \n",
" plt.figure(figsize=(25, 8))\n",
" plt.title('Hierarchical Clustering Dendrogram using {} method. {}'.format(method, name))\n",
" plt.xlabel('Countries')\n",
" plt.ylabel('distance')\n",
" scipy.cluster.hierarchy.dendrogram(\n",
" Z,\n",
" leaf_rotation=90., # rotates the x axis labels\n",
" leaf_font_size=8., # font size for the x axis labels\n",
" labels = labels)\n",
" \n",
" plt.show()\n",
" \n",
" return Z"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def return_cluster(dendogram, country_of_interest, max_group_size, labels):\n",
" \"\"\"\n",
" Returns the cluster of the country of interest as soon as the number of countries in the cluster are smaller than the max group_size\n",
" \"\"\"\n",
" \n",
" for k in range(150):\n",
" cutree = cluster.hierarchy.cut_tree(dendogram, n_clusters=k)\n",
" country_of_interest = country_of_interest\n",
" index_of_interest = labels.index(country_of_interest)\n",
" cluster_of_interest = cutree[index_of_interest][0]\n",
" countries_in_cluster_of_interest = []\n",
" \n",
" for i in range(len(cutree)):\n",
" cluster_number = cutree[i][0]\n",
" country_name = labels[i]\n",
" if cluster_number == cluster_of_interest:\n",
" countries_in_cluster_of_interest.append(country_name)\n",
" if len(countries_in_cluster_of_interest) < group_size:\n",
" break\n",
" \n",
" return countries_in_cluster_of_interest"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4.1. Term pair frequency "
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# define clustering method and country of interest.\n",
"method = 'average'\n",
"country_of_interest = 'Denmark'\n",
"group_size = 20"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AAAAAwBwNGVK/JskDW2ufmOSHk/zCdgNbayuttYe11h52zTXXHFiBAAAAAADM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\nR0REREREREREREQ1/x8mGw6AYX4qoQAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cluster of Denmark:\n",
"[u'Canada', u'Denmark', u'Finland', u'France', u'Germany', u'India', u'Italy', u'Netherlands', u\"People's Republic of China\", u'Poland', u'Portugal', u'South Korea', u'Spain', u'Sweden', u'Taiwan', u'United Kingdom', u'United States of America']\n"
]
}
],
"source": [
"# plot the map and cluster of the country of interest using term pair frequency\n",
"matrix = numpy.load('Data/correlation_matrix.npy')\n",
"labels = list(numpy.load('Data/correlation_matrix_names.npy'))\n",
"\n",
"name = 'Frequency of term pairs'\n",
"\n",
"Z = plot_dendogram(matrix=matrix, labels=labels, method=method, name=name)\n",
"print 'Cluster of {}:'.format(country_of_interest)\n",
"print return_cluster(dendogram=Z, country_of_interest=country_of_interest, max_group_size=group_size, labels=labels)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4.2. Term frequency "
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# delete countries that are not in original list.\n",
"this_list = country_names\n",
"original_list = list(numpy.load('Data/correlation_matrix_names.npy'))\n",
"to_delete = []\n",
"\n",
"for i in range(len(this_list)):\n",
" if this_list[i] not in original_list:\n",
" to_delete.append(i)\n"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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AAAAAYFCCaQAAAAAABiWYBgAAAABgUIJpAAAAAAAGJZgGAAAAAGBQgmkAAAAA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\nrkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Cluster of Denmark:\n",
"[u'Austria', u'Belgium', u'Czech Republic', u'Denmark', u'El Salvador', u'Finland', u'France', u'Germany', u'Greece', u'Hungary', u'Italy', u'Netherlands', u'Norway', u'Poland', u'Russia', u'Spain', u'Sweden', u'Switzerland', u'United Kingdom']\n"
]
}
],
"source": [
"# plot for the simple term frequency\n",
"matrix = numpy.delete(X, to_delete, 0)\n",
"labels = list(numpy.delete(country_names, to_delete))\n",
"\n",
"name = 'Frequency of Terms.'\n",
"\n",
"Z = plot_dendogram(matrix=matrix, labels=labels, method=method, name=name)\n",
"print 'Cluster of {}:'.format(country_of_interest)\n",
"print return_cluster(dendogram=Z, country_of_interest=country_of_interest, max_group_size=group_size, labels=labels)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.13"
}
},
"nbformat": 4,
"nbformat_minor": 2
}