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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 94-775/95-865 Dimensionality Reduction and Clustering\n",
"\n",
"Author: George H. Chen (georgechen [at symbol] cmu.edu)\n",
"\n",
"This demo uses the UCI drug consumption dataset:\n",
"https://archive.ics.uci.edu/ml/datasets/Drug+consumption+%28quantified%29#"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We begin with some boilerplate code."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('seaborn')\n",
"%config InlineBackend.figure_format = 'retina' # if you use a Mac with Retina display"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Loading and preprocessing data\n",
"\n",
"Next, we load in the UCI drug consumption data (which we assume resides in the same directory as this notebook). Each data point is represented as a 12-dimensional feature vector. Even though some of these features are not numerical (e.g., gender), they have been turned into numerical values (see the documentation on the UCI drug consumption data for what the numerical values mean for features that were originally not numerical)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import csv\n",
"import numpy as np\n",
"np.set_printoptions(suppress=True) # somewhat prettier printing\n",
"\n",
"drug_data = []\n",
"with open('./drug_consumption.data', 'r') as csvfile:\n",
" csv_reader = csv.reader(csvfile, delimiter=',')\n",
" for row in csv_reader:\n",
" # row[0] is an ID, which we ignore\n",
" # row[1], row[2], ..., row[12] correspond to the 12 feature vectors we care about\n",
" drug_data.append([float(x) for x in row[1:13]])\n",
"drug_data = np.array(drug_data) # convert the data to be a numpy array"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1885, 12)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"drug_data.shape"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We next standardize the data. Note that each row of `drug_data` corresponds to a different person, and each column corresponds to a different feature. Here, the standardization done subtracts off the mean of each column and divides by the standard deviation of the column (so that each column has mean 0 and unit variance):"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"scaler = StandardScaler()\n",
"drug_data_normalized = scaler.fit_transform(drug_data)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with PCA\n",
"\n",
"Next we use PCA to bring the dimensionality of the data from 12 down to 2."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.decomposition import PCA\n",
"pca = PCA(n_components=2)\n",
"drug_data_normalized_pca2d = pca.fit_transform(drug_data_normalized)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We check how much variance is explained."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.24249161, 0.15598527])"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pca.explained_variance_ratio_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can plot the 2D PCA representation (in the second line here, I ask for the two axes to use the same scaling, i.e., you'll notice that the grid lines form squares):"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-4.785092557291799, 5.24773228411356, -4.968880198213617, 5.094724057982498)"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 248,
"width": 367
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(drug_data_normalized_pca2d[:, 0], drug_data_normalized_pca2d[:, 1])\n",
"plt.axis('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This PCA plot doesn't look great."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Dimensionality reduction with t-SNE\n",
"\n",
"Next, I apply t-SNE. Note that the code is nearly identical to using PCA: we import the nonlinear dimensionality reduction method we want to use (`TSNE`), create an instance of it (which we name `tsne`), and for that particular instance, we do `fit_transform` on the data. **Warning:** t-SNE takes way longer to run than PCA."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.manifold import TSNE\n",
"\n",
"tsne = TSNE(n_components=2, random_state=0) # note: in practice you should actually play with the perplexity, learning rate, and number of iterations\n",
"drug_data_normalized_tsne2d = tsne.fit_transform(drug_data_normalized)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plotting is done just like before, except now we use our newly defined variable `drug_data_normalized_tsne2d`:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-57.40638885270168, 48.66960296402979, -59.19674732413162, 65.38699390616287)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 248,
"width": 373
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(drug_data_normalized_tsne2d[:, 0], drug_data_normalized_tsne2d[:, 1])\n",
"plt.axis('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Unlike in PCA, in general for nonlinear dimensionality reduction methods, the axes aren't as easy to interpret. Each axis here is no longer just a simple weighted combination of the original features. In terms of interpretation, the main thing here is that points close to each other are more similar, and points far away from each other are more dissimilar.\n",
"\n",
"\n",
"However, with t-SNE, we are able to get some distinct blobs that appear. Could these blobs be semantically interesting? Possibly! (And possibly not!) Let's try to figure out what these clusters are..."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clustering using k-means"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the visualization above, it looks like there are maybe something like 6 clusters (small ones in the top left and bottom right, and then four bigger clusters in the middle). Let's try k-means with k=6...\n",
"\n",
"**WARNING:** In practice, you should usually try clustering in the original high-dimensional space first. Remember that reducing dimensionality typically results in some sort of information loss. Here, we intentionally cluster on the low-dimensional t-SNE representation as it's easier to visualize and explain the material."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
" n_clusters=6, n_init=1000, n_jobs=None, precompute_distances='auto',\n",
" random_state=0, tol=0.0001, verbose=0)"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.cluster import KMeans\n",
"\n",
"kmeans = KMeans(n_clusters=6, n_init=1000, random_state=0)\n",
"kmeans.fit(drug_data_normalized_tsne2d)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can look at the cluster centers and the cluster assignments."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-37.68046 , 3.2546716],\n",
" [ 12.944503 , 25.906467 ],\n",
" [ 5.8359265, -33.64501 ],\n",
" [ -2.570379 , 40.595085 ],\n",
" [-20.978033 , -16.723228 ],\n",
" [ 30.111925 , -4.392136 ]], dtype=float32)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.cluster_centers_ # cluster centers"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([1, 4, 0, ..., 5, 5, 2], dtype=int32)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kmeans.labels_ # cluster assignments"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"kmeans_cluster_assignments = kmeans.labels_\n",
"\n",
"# alternatively, we can do:\n",
"# kmeans_cluster_assignments = kmeans.predict(drug_data_normalized_tsne2d)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-57.40638885270168, 48.66960296402979, -59.19674732413162, 65.38699390616287)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dRd2vniip+Y6fvYDw+LPLHpaITE5K1EVEJr3IUO/zWschRfMenId0jsgzO6m7+xls50ufjnjMi/877qmicbIr3w42qFi4IjK5KFEXEZnkjJsPvh6MJpNOGX0p7N4eoqs3EX1mFzY88BOR4T+ZIlaG9YCvb4K+TmiYrYRdZAZQoi4iMskZXw9utrq+TBW5kLrfPU3s8a1jfhBSyocjNpsm/tMv4OtnQbye8OjTyJ73Zpg1b4IBi8hkpURdRGQKsNkVONsJtsROIVIdqSwNP/wDwY4OoPzVSibMYfo6oa8Tu28XwXN/JHvh2+G1byrzlURkMlDXFxGRKnK2jTCyjlzkSVzwPI7CemlbtxCTexm4aIUjlJI5T8N/30+wvaNqc39t7z5id19P9pE7q3NBEakqjaiLiFSYw+GiT0F0A5DLbzT5OYbwKM7NwabOx9I05jk8HhO24INd4HsAp8mlk0xk/Q6CXV1V/7aYwV6yv72OyCnnV/nKIlJpStRFRCrIEeLqb8v3QT84gzP5PQg6cA2/xqcuJHCLDtjF43GR5/CRTWD7DmzTqE4wFWP39mA7+sE53JxG3KJmMIe+2bEHNmKytVlt1He2kb3/VjjtsppcX0QqQ4m6iEgFubpfj56kH8w4fN19uMHXYf1cIJ+kh7EHIbJ99D7qStLLK3REH91C7JHNmK4BzEB+PoCvj+Jn15M9/Sgy5x0L0ZHdVkx/GtvZX+2IX+IducfvUaIuMs0oURcRqZAw2Aa2v/CE2nhc3Srs4JUAuOgTENmmhLwaMjka/usPBC/sG/FMZAazMJjF3vE0kae2M/jnK/GN8QP36UtDzlUx4FGk1RVIZLrRZFIRkQrxsceLT7LNII5BHBl8dIOS9GpwnoYfrCLYOjJJ35/xENnVRf0PVkEm99ILmRymqx9qVPbyIu/yCyyJyLShEXURkQrwhGBSJR3pYk+At1DEYjhSusijmwm2dRT8TBTs7qbu54+RfcUyTDpH9MltRNbtrP0zVSQ2bh29iEwtNU/UE4nEV4FPAK9KJpP3HfTae4C/AY4DOoGbgH9OJpN91Y5TRKQY3gxQUqJtANs9NHG03FHJaOp++1RRt9oAsbXbia3dXqmQSlPfmC9/idfXOhIRKZOalr4kEomzgI+P8dqngevIx/gtYC35pP3ORCIRq1qQIiJV56HA/upSOtM9SOynf8Skc+PvPAX4bRuou/bjxG7+MqanvdbhiEgZ1GxEfSjZ/iEwYvp8IpFYCnwOWA1cmEwms0PbPwf8E/Ah4NvVi1ZEpDjGN5Afey1yVN0Drik/qi4VYfd0U3frGmx7H7ZnGk3A9A7btTf/357NpN/6Sfzhy2sdlYhMQC1H1P+BfEnL70d57cPkHyK+MJykD/kC0AN8oPLhiYiUzhCAL6UEwYBJlz0eGZILia7eRGRz2/RK0g9iu1qJ/+zL0NdZ61BEZAJqkqgnEolTgE8DXwTWj7LLyqGvq/bfmEwmU+RH2U9NJBLNFQ1SRGSCTOYVxZep+1h+NF316ZURCci86nhcw/SvoLSde4jee0OtwxCRCah66UsikQiA/wI2kh8h//Ioux0DtCaTyd5RXts69PU44NGJxtPSMmuip5BD0P2tHN3byinfvT2BvYNrCX2hZSyWiG0mx94yXV9G42c3kLngOOruWFfrUCoutuM5mufEMdHp/2BSaXrPrRzd27HVYkT974DTgQ8kk8nMGPvMB7rGeG34N55G1EVk0lsQfyuWQn4JWebGXodjoOIxzXjWkDtx8Yxofuk79xJuWFPrMESkRFUdUU8kEscBnwG+m0wmVx9i1ygwVpHm8Pa6csTU1jbaoL1M1PDTse5v+eneVk6l7q3hcoish+izYLIHvWohbMGmz6VnIIery2opuirw8SjEIzBNOr6MKczSs+0FwsNOrHUkU5becytnJt3bUj81qFqinkgkDPkuL3vJ16cfyiAw1ud0w+s295cpNBGRijIYIrkVkFuBMx142wYmxPgmCI/EDmXmHi0RUS3egI8G06Y14yFFyzKuJSI1UM0R9b8CzgcuK2DBok7GLm0Z3q7eZSIy5Vg/D8J5AHjS+GA7oUlhfBzcPPJvy+r6UmnGeczgwZ9uTD/eWNy8RbUOQ0RKVM1E/S1DX3+TSCRGe/3eoe3LgQ3AhYlEoj6ZTB7cP2s54MhPRhURmXKc7cBF1w51dxkAM9QcxtWjhY6qw3QPYkJX6zAqzzuiT9xBZsnxtY5EREpQzUT9R8B9o2x/HXA2+VVIt5KfRPoA8CrgAuDO4R0TiUQdcA6wfoyOMCLTXm4wjY3WbK0ymaAw2ISPPQU2NfJFOzQu4VF7xkpKZ4n/IVnrKKrCAHb7c5BNQzQ++k65DHb7c5iBbnysAX/4cvyseVWNU0RGV7Xf9slk8kejbU8kEnPIJ+o/SiaT9w1tuwG4GvhMIpFYlUwmhz8HvhqYDVxb8YBFJpGupzez8as/ofe5bZALCQfSZAdSRBrriM6bRaSxniOuuoCj3vM6goYxfhlLzblg+9hJ+v6GFzRVsl4Rtq2XyLO7ah1G1ZjuNoIn7yY889IR26P33ojd8RymZx8mzOKNxTfNwc9bTPb8t+COPrVGUYsI1KCPeiGSyWQykUh8FfgksCaRSNwGnARcBjwIfL+W8YlUS24gxeor/5Ge9VvwuZElEZlUhsy+HgC6n36eTd/+JYsufyUn/st7CeqVsE8mHo+LFpCkD1OyXhGma4D6/1mNmQm9GYcYFxLsSB6QqNvNa4n9+tvY7vYD9/UO09sBvR2Y1q2Ep1xE9pI/r3bIIjJkMjcB+zTw1+R/VX0MWAF8nfxkVM20kmktHEiz/jP/ze3HvIvutZtGTdJHHuTJtHXxwn//jrtOfT9r/voaBra1Vj5YKYi3rfl69GK5IF+77qLFr3I6U7mDas+9z/+XzUFfCqLBzLuVuZeWLTF7thC77VsjkvSD2VQfkSfvIXLfjZWOTkTGUPMR9WQy+XHg46Ns98B3hv4TmfZ8GLLr1ofYdM3N9G/bixsocOR1FLnufnbefB/7HniaFV/6EIe/7uwyRiqlcNHnwBbZZcQAhOCjmPQ5+PgfS0v2Zxo7NAaVzmL3dGP39hB9djd2bw9B+8xsgelnzX/x/8d+dy22Z19Bx5nMAJG195I7+w1Qr9UjRaqt5om6yEwXDqZ57ks30HrHowxs3ZMf+SuT1O59PP333yMyu5EF564o23mlBCMWOir0OMD0KEkvRTyKb6qj7oaHsT0HNxCbOXxjM7kzXw+A6diN7dxT1PGmZx/R1beQvfhPKxGeiBzCZC59EZn2st19PPTGf2DLtbcxsGV3WZP0YenWTp75hx/gK3BuqaKhNo5SHD+/idQbT691GDXl5izEzz8CgMjqX2H6u4o63uAJNj5WidBEZBxK1EVqxIchf3zn5+heuwlcZZPowZ1tdD4+M9rRTVbG1U/wBOWJYyYKF83B10VrHUZNuMY5B4yE2669pZ1ovxp3EakeJeoiNbLnt3+k95kXqnKtbHc/z3/rF1W5lozOZleAUyeeajJ78x2RfHM9mTOW1TaYGvDxBrKv/jPcspP321rqE5+eFEVqQTXqIjWy+T9vJRysXgOjTEdP1a4lIxk/B3wjoKZVlWT3dBO/ax22vQ/TMwiBJVw8l3DR7FqHVnWu+TDCUy8+cNv8xQSb1xR9LtPVSt1/fBQfiZFbsZLwjEsgVleuUEVkDErURWog09XH4I62WochVWbT5+Dq7gOrSaFlN5ih4ccPYnd1YdO5A16yG/YQeb7Eko+pLDKy3Cd37pUEz67G9nUUdSrjQkz7DgBs61b8Y78le/YbCM+6vCyhisjoVPoiUgOZfd2E6RK7gJTIxmZmje5kYv0cbPr8fAmM5vaWTypL43fuJrKlfUSSPsyEbtTt05lJj3wg9LMX4Ocvmth5vcN27SW66qdE7r95QucSkUNToi5SAzYSwdjq1nwufuP5Vb2ejM66BdjBS8HHah3KtNFw3QPYGdof/VBMxx5Mz8hFjTKX/xWuuWXC57epPqIP/RKze9OEzyUio1OiLlID8YVziTRWsb7TGOa8/NjqXW8G86aPMPYIufg95OL3EMYewZsDk0hLPSZ3DHhN0JuQXIjpHiR4YZ+mOo7C+JDIqp+O2O7nLSL9tk/hZs+f8Ac7JjNI/Ef/hH1h/QTPJCKjUY26SA0EdTGajlvCwAut1bmgNTQuX1yda81QznTh4o+A6QP70qqyHgiDHeCbsOmzsH4OACZ7Cj5oBduhhhqlCB2RtduJ/+4pTIXbm05lwdanyIZZCA4sffOHH4074jgiPasnfA2bSxH/yefJXvBWcudeNeHzichLNKIuUiP1Ry2s2rVsNIIxygYrxdnW/CTRoP2AJP1FNgVBO67uPpzdiyeFq/s9mF4l6aVwHruzk/pfPI7tUxedQ+rvwbaO3gbWDPSW7TImM0jkoV8RPHVv2c4pIkrURWrGV3EyadBYR7anv2rXm0m8GcDFHy6sk4sdwMUfIqy/E4J9YKs7oXjKcB5y4agvmf40wfN7afz+Kkzo9JwzDhPmIDNYlWvZwR6iD/wc3OjfOxEpnkpfRGokqK/e4jdBLELQoMV2KsFF14Et4iFIrRnHFXl0C8GebrKvWJZfUdQayDmCvT3E7n6GyK6uWoc4dQQRiI7+b9/Pml/2y5meduyGR3HHn1P2c4vMRErURWpkYHv1+jpHZjUSmdVQtevNFB6XrzOXsoo/splgZyfx1fluIt6AURl6SXxjM+6wo0Z9zTUvwFPe6iuTTRN99HeklaiLlIVKX0RqYPdtD9GxunpdEha94VzVqFeC3QemOmUFM4b3mIHMAZuUpJfOHXHs6CPq3hF57o+VKR3K6t+ESLkoURepgU3f/gXZrur0fTaBZfmH3lCVa8003mSA0RfYkRJ58F6ZeTm4prlkL3znqK/ZDY9ieiq0OrJRaiFSLvrXJFJlvcntDFax7MVD1RdXmjF8BL2Nlpk1EOjndaJ8QzPZi96Fnz96W9bIE3dispXpmOMb51TkvCIzkX7DiFTZrlsfILOvp3oXDB1bvv/r6l1vBjFujlYYrQA3f1atQ5iyfBDFzVtM+vUfJDz9NWPuV6kk3dXPInv+WypybpGZSIm6SJVlOsrXu7hQu255QOUEFWCIA67WYUw7mVefgKuPjr+jvMRYzJHHkrnio6T+4pu4E88bd/9K8M0t+MUvq8i5RWYiJeoiVRab01T1a2a7+wgHRlmIRybEm0G0YlH5hUvn4xY2T3h5+5nELjmWhr//D8IVF4ANxt3fLXpZ2e+vmz2fzBv+qsxnFZnZlKiLVNnCS88hOre6H+2n27rJtFex3GaGcJHnwGplzLIzhoH3nk+4eI6S9QL4aB3RN/x5Ucdkz70SP3tBea6Pwc1ZSOZNf4c//OiynFNE8pSoi1TZnJOPpv7IlupeNHRs+tbPq3vNGcDb7lqHMH3VRRn4yKvInrYUN69RCfsheO+JJF5e3EENs3ELl5d+TcDF6nALlpC94K2kPvjvuCXHl3w+ERmdEnWRGlj+wcuJzG6s6jX3PbgOl1UrQZlCYhFS7zibzImL8epcNCaTS5N99tGij8tc+TFcy9KSrumb5pJ+/5dJfeQache9E+qq+34mMlMoURepgSVvv5jFV55P0FRftWsO7mxj920PVe16M4Fx6k5SSZGnt9P4tTuIP7AR6zSmPhYDZG76RvEH1jWSes+/Eh5xLC5e+MrFrrGZzOs+iG9Zop7pIhWmf2EiNXLylz/C0R96A/VHLcREKv9P0aWzdK3ZWPHrzAQeTxh9Eh/ZjmoyKsB7Ync/Q93PHiPY26PpuoXY10rmD7cUf1zDbNLv+zcyb/804bKT8ZEYfow77o3FNbeQef1HcCe8coIBi0ghIrUOQGSmMsaQ+OS7eNlH38wL19/BrlsewGVyYCDd2km2szf/5zJS6cvEeRxhfBUErWDUmrEinCfYvg+b1s9r4TzZe26G4y8qfpTbGNxRK0j/2QoA7I7niDzwM2z7TghzYAw+3kC4YiW5V7we4tX7JFBkplOiLlJjQUOcoz98BUd/+IoXt3nnePqT32PvnY+R2tNRtms1LFlYtnPNVC72sJL0SsvH//CnAAAgAElEQVTksL1qJ1q0ng7shkdxibMndBp35PFk3vGP+T+E2Xy7R5W4iNSE/uWJTELGWk75yl9y3u1f4aj3vo6mxBJMdPzeyIdSf8QClrzj4jJFODN5M4hXkl5xpi+N3a2OOkXLZYg++rvynjOIKkkXqSGNqItMYvWL5nPyv30EgJ5nt/LIu/8fqZ3tJZ2r6bglxObPLmd4M46LrAM7WOswpr3Ixj0YTR4tTVafRIhMJ3pMFpkiZp+wjLOu/weaj18KQXHT6+qOWMCJ/1rcgigykg/aah3CtGc6+ojf82ytw5i6jKbeikwnStRFppDZJy3nyqd/wKt+8s80Jo4s6Ji6IxZw2jc/xqxjC9tfDkElLxVluvqpv+lRbJ9Wey2VnzW/1iGISBmp9EVkirFBwLI3r6Rx5em4XEjySzey/ca7yHT3Qy4c2slQf8QCZp+0nBP+5b00Hb24tkFPGxqtrIjeFLajn7pfPkZkT0+to5m6ggi5E86rdRQiUkbG+xlbB+gB2tp6ax3HtNTSkl8IRve3/Ea7t9572h94mq7Hk4SDaeqXHMbiN5xLtLmpVmFOSeP93Obid0OktZohTUumqx/b3geA7Rogdt9zBEN/lonxxuLjDWRe/yHcigtqHc60oN9nlTOT7m1Ly6ySRno0oi4yDRhjaLngFFouOKXWoUxrNnsizu4Dq/7eJQsd9dc9SERdXSrCeIdJ9RH/5dfJbl1H7vK/qHVIIjIBqlEXESmQcYeDb6x1GFNbf5qgVeUtlWbwRJ+8i+CBn9c6FBGZACXqIiIFMhhs+jxwDbUOZcoyzoNVrX81GO+JPXBzftEiEZmSlKiLiBTB+jnY1EXgZoOf2CJUM1LOYXLqnlM12TTBE3fVOgoRKZESdRGRIlk/h2DwUmz6bAjnDk1Nl0IEe7pqHcKMYoDoI7+udRgiUiIl6iIiJTBYbLiMSOr14FpqHU5tFdg9zPSliP3+mQoHIyOkB2odgYiUSF1fREQmyGZOxMUfAjtzaoHt3h7id63H7u7Kl7JYg49Hyb78KDJnHw2xg3695EKCF/YR2aNuL1WXmzk/lyLTjRJ1EZEJsu4IfLgUb56f/msi5Rz1N64m2LZv1BVE7e+6iT60idTlpxKedER+YzYk2NpG/Y2rqxysABgl6iJTlhJ1EZEysJmzCIPtYDK1DqVynKfhv+8n2LIXM8Z8UOM8QWc/9b98nFQqg1s8l+iabcTuT2JUy18juvEiU5USdRGRMjAYcHPA7q11KBUTu2s9wdb2MZP0/dm+NPW/eAJCN+0/ZJj8TH4egdF3QmSq0WRSEZEysdkTwU3T8Q/nia7bgQkLb61olKRPDgYl6SJTlBJ1EZEyMW7RtF25NEjuxnRPru4hKugojK9rqnUIIlIiJeoiImUynVcujTy/F5sJax3Gizzgo/HaxmADfDSOx0zahwYPZF79nlqHISIlUqIuIlJG+ZVLV4KbNa2GfE0mV+sQDmAAk83U9Ba7BUeS+rN/xc07vIZRjCNWhzvlolpHISIlUqIuIlJm1s8jGLwMkz4bfA3fZj1le1hws+vLc6IyMvia1cC7+lmEy08lftMXCTp2T8pafG8D0m/6u1qHISIToERdRKQCDJYgPAaTW1a7INxccPPKkqxnX74MN6tu4ieaBjzgWpYQeeYBbF9nrcMZlY/GSb/xY7hjz6h1KCIyAdO0PYGIyORgM6cRBm1ge6t/cR8nSK8krLsLbGfpizF5g5/bjJvXhO1NlTXEqcgAwfZnMX5y1DZ5hr+1BlffhFt6EtlX/yl+/hG1DUxEJkyJuohIBRnqsKmVuLpVYPuqd2FvMbmlGCIEqdcQxv8AQRsFNUE/4DwBJnscNruC9J9ksD/5DbavsGT9pQRy+pksSTqAj9YTu+Sd2CXH0jnrKIhPvjIlESmNSl9ERCrM+maCwddiskeDazqwbr1S+Z5vxIbLATBEiaRfjR38E3DRwq/pLSZchM2ehiGKWfSnZC56O67x0ImgB9xhy/CzFkzs7yAFsdlB3M7NRE44U0m6yDSjEXURkSow1BFkzsET4oOdeNuXT9h9PT7YNTTaPZAf8Z7oULQPMLkjMQQHbLZ+PmbwKsL4Q2D3gRkc/Toe8I2Y3NKhJN1AfxfR+35CsPUpzGDmxd32P9xbi5/dgjsyQeayjxD/8T9Bb/sE/iJSKN+zr9YhiEgF1CRRTyQShwOfAS4DFgIdwO+Bf04mk5sP2vc9wN8AxwGdwE1D+1XxM2QRkfIwBJhwKezfkjw8Kp/A2za8GcRHNkKkxATXA64ekz11jOtHiKRX4hnERZ/FDz8gkAMi4GZhcsux4bIXE32zZwvxn30Z27nnoHMddNl5i0m/70tQl1/0KXfGJdjfXYsJJ1drx2lp8lTiiEgZVb30ZShJfwT4MPAs8I2hP78LeDSRSBy7376fBq4bivNbwFrySfudiUQiVuXQRUQqxhBg3eEE4XKMmzeRE4Htw9X/Amc6DrFbPUH25URSlxAZvIrI4FvzX9OvyXerGU7Su9uJ3/ylEUn6qJdt30H919+Pff5J8J7wlIvwzS2l/12kYKZxdq1DEJEKqMWI+meAJcAnksnk14Y3JhKJdwP/A/w7cEUikVgKfA5YDVyYTCazQ/t9Dvgn4EPAt6sbuohI5ZnwaLzbCjZT4gkAk8HV/x6XWwQ2BXjwEWzuGEy4BFPgOE309muxXXsLviy5DPEbP4ubfwS5V76R9JUfJ37zl7G945dmDA8KT9cJqJXi6hqJv+bttQ5DRCqgFpNJrwLagGv235hMJm8AngcuSSQSlvyIewT4wnCSPuQLQA/wgeqEKyJSHO893hXZXWU/1s0D3zjxQEwOotvz9e9BO0T24OIPE9b/hjDy7PjHp/qxrVuLvywQ7NtJ7PbvE1n/AOm3fQqzcAnERu/D7uMNhAuPJn3VJ3BHrcBbTZ8qhm9uIVh2Qq3DEJEKqOq7YSKRCMgn2tlkMjnab7E0EBv6b+XQtlX775BMJlOJRGI1+YS+OZlMdlcyZhGRQuT6B9nwtZvYfuPvCQfTAAR1ceaedTwnXP1nzDp+aVHns9mTcOaR0kfVx2JCML346DpCM0CQHXtBnODJ32O6S58ManJZIo/djpuzkPpP/5Bw3WoG7vgJZrAPvAMbEB6ZIHfB2/DN+Q4x6RNfSfTeGwmSf8R0tmKc6tsPxTXNIfsn78MYfQ4hMh1VNVFPJpMh+Zr0ERKJxPHA8cDzQ8n4MUBrMpkcbZWQrUNfjwMerUSsIiKF2viNn7Hhqz/BZw5MKt1ghr13PErbvWuYf97JnHnd1QTxaEHntOFSXK4Dos9UphbEZvGRzTg3FxsePfou7TsxE5ylaMIs0Ydvhde/jcgp55FedMpLr3W3Ebn/ZmK/+HfwIQRRciecS3bl28i+6l0ED/6S2Kr/xfjSP52YztyseWT+5H245aeMv7OITEmT4vPFoVKXb5Mvxbl2aPN8YMsYhwyPojdP9NotLbMmego5BN3fytG9rZxi7u2j//d7JL/+M3BjJ7Q+k6P93jU89vZ/4dJV12AjwZj7HnCcP4/Wwc14KrQaqM1i6zfSUj+yQ4zbt4dU6/NlaSZie9oJ1z9M5ORzaWmZhe/rJvWj/4fbsw0OaisY7EhiHv8Nwakriay8jNTDv4JUfxmimMKa5kJ/94ufQpi5Ldgjj6X+DX/OrMOOPGBXvS9Uju5t5ejejq3miXoikTDAfwKvBh7jpdr1KPlSmNEMbx+94FFEpAr2Prye9df8/JBJ+v7aVj/D4//4Q8780ocK2t8YS8wuJO1emEiYhxT6PjJhK7FgIQC5jWvJ3HItftdmyGXHObpA3pG9/xYiJ5+L7+1k8JufwLduG31fF+Lbd5O7/xZ8515Q6Qt2yTFEL3wTfqAX09hMsPxETF1DrcMSkSqoaaKeSCQiwPeB9wKbgTcmk8nhgsxB8rXqo4kPfZ3wMEtb22iVNTJRw0/Hur/lp3tbOcXe23vf/UV8WFxZxsbr7uSov3k7xhY2l9/ZEyC+u/y16kM8aTp61xNkGwhW/4rYPTdUpC7c9/Xgvaf3O1cTjJWk7y+TIvf0g+DcjO8Ck2tvpa9lv8mivSH0HvgzqveFytG9rZyZdG9L/dSgFl1fAEgkEg3ALeST9I3Aq5LJ5K79dulk7NKW4e2aSCoiNZHp7GVwe2FtC/eXbuui9fePF7y/dfMwbmFlF7QxGexT9xG7+/rKTd40EG5eh+nYNf6+w4dkMzVfLMkzCdYSmuA9MJ2tBGvvIXj4VoJ198NAT5kCE5FKq9XKpHOB3wFnA2uA1yWTyYN/420ALkwkEvXJZHLwoNeWA458gi8iUnW7bn0QnwvH3/FgzrP37sc5/LVnFnyITZ9HWHcn2I6yTCy1OzqI37mOYHc3ZEMwAWYwVbGRaw8ES44je8cN2ClWbz4pRvNtYXMaRhy24RGiD/4S09mK7e8EwGPwzQtwC5aQvfjd+MNHn0gsIpND1RP1RCJRB/yafJK+CrgimUyO9nj/APAq4ALgzoOOPwdYP0ZHGBGRiup6ciPJL95Q8vHZrr6i9s8vTmQnnjUOZGj4rz8Q7O7ChPuPE5epFn0sNiB2+ftJXfPxyl5nmvKz5oMLsbs2Yfq78ZEYvuVI/OwFYx4Tvf0HBE/fN+LByOAx3W3Y7jZs6xayF/8p4akXV/qvICIlqsWI+heAc8mvOPr6UUbLh90AXA18JpFIrEomk8MTSK8GZvNSdxgRkarI9vRz3wUfJb23s+AJpKOpWzS/qP09HsxAydcDIJWl8bt3E7QX95AwUR5w8xZhm5onXMIxE7lIHb6ukbrvfQzT2wGZQbABvqEZP/dwsudehTvuFQccE1n1EyJr78VkDv0zY/s6id59Pb5xDu5lL6/kX0NESlTtBY8OB/5q6I/PAp9MJBKj7fqlZDKZTCQSXwU+CaxJJBK3AScBlwEPkp+EKiJSFbm+AX5/+gcI+8YaWyhQYFn23tcVe3UmWildf8Pqqifpw9Jv+VT+/wSllXDMZCaXInj2oQM/THEhpq8D+jowv9pKmDgL//6r8xOU0wMFJenDbH8X0XuuJ61EXWRSqvaI+jm81Mnl/YfY7xogBXwa2A78JfAxYA/wdeCz+42wi4hU3P2v/buJJ+lAbP5sGpctKvKogInUvZjeFMG2fePvWCGR5MNw4vGY5gX4vTuKOtbbAIIIJjsz3/LH+67b9ADmmYfI3PQN4u/4GyKP/BbTU9xqsqa7DbtzA+6I40oPVEQqotork/6KIn7bJJNJD3xn6D8RkZpItXYwsHXPxE9kDSd/8cNFH2aw4GNAkeUvHjAQu+85bLo2ZScGiKz7A/7K/0P0te8ktW0DJl3438PPWUiYOItgzV2TYiLq0C2dVEwuQ+7ph4i++u0Ez60ueiVXm+on8tAvybz1kxWKUERKVbP2jCIiU8VTn/hu0f3SRzCGxW++kEWXv7K0w3NHgy8yRfSNkFtIsLmjpGuWTV8Xvn03wXEvx81ZWPBhPojiDl+Obd0K0Tp8EKl5q0TDJGnZeLDeTjK3X48pcZEqo5aNIpOSEnURkXF0Pr5hQsebaITlH76Cl3+79K4nNveyfOJdKB9gci8jkn41Nltf8nXLwQz2kLru84QbniTztk/h5h4+7jHeBPggwD6/hmDzk9jefZgwNylGsw2Tb1QdwG19pvTAjNIBkcmopiuTiohMBT4soV/6kGUfuIzEJ99FdHYRSfYoDBFs+hxc/EGw49TKewvh4djsifk/BrV9qzeA35Yk/cPPED3iONLv+hdiv/o6pmM3dvDALrseg2+YjcmmsJlUbQKeonw2g28Ya53AQ3NzC/+kQ0SqR4m6iMg4bLS0t0oTi7Li8x8sXxzuMEhfgIuvzrdrNKM8QLgGTHg4NnMWZmh4NVyxEtu6tfajwKl+gs1rMb/5D9Lv/QKmfQfRVT/FdLdhXIgPIoRLTyTyzIOYAS08XYrc6a/F7n2hqBIY1zSH3HlvrmBUIlIqJeoiIuM47DVnsOMn9xR9XHxBaaObh2LdAszgZfhgBy6aBJMBPHiLCQ/D5k7C+ANLXXInXUD07h+XPZZSGO+w258lePwOwjMvJfPWvz/g9ch9N2J6atehZioz0Rjhqa/CP/QLTGfhk5/93MPx8xYR5hyr7trE02t2k0nlaJoV48JLjuWEkxdizMQe8wb6M3S0DxDmHE2z48xvmdgnTCIzhRJ1EZFxnPjZ97PzZ6vwuSJKYAys+GL5RtMPPLXFhEux4dKC9rf7dpZ0HQ9gA4wrvfRnNCbMElnze8IzLz3ogp7Isw9jJt9UzSnBHnMyBBEyr/k/xH/7PUz/+J9KuOYWBi/9K354zUM8n2wnl3tp0nTrbnh+4z7q6iJc9Npjec3lo657ckhbn9/HXbclad3dS2owi3OeWCzCrOY4Z59/FGdfsIxoTP31Rcai2SMiIuOIzWmi+dSXFXVMtLmJhZecVaGIimOyqdLKXmxA7rRX42Pln4xquvdi9mw5cGNfJ6RqsyjTlDd7HrFL/hQAd/w5ZF77ftyssVfA9RjcvEX0X/X3fPaLT5Fcv/eAJH2/HUkN5rj91mf50Xf/WHA43nt+9j9P8l/fepjk+r10dQySGsyRSYf09abZvaOHW29axze/uIruromvTyAyXSlRFxEpwLm3fJ66RWMnPvuz9TFW3veNCZcLlIuva8JHYuPvePBx0TpyL38tuRUX4KPxssZkU/3Ytm0HbDOZQSjz6P1M4KN1RE6/EDv/pW464YqVpN//b2TPeB1u3mJcw2xcXROucQ6uZSnZi95J6gNf5Uvf2Ux/X6aAi8C6Nbv59c/XFRTTr37yFE+s3s5A/9i18s55du/o4dqvP8TgQAExiMxAKn0RESmAjUa4+JHv8dAVV9P99ObRy2CsJd4yhwvu/hp1LXOqH+QY3BHH4mfNK6puGYDGZvzCZWQv+wv83MOJPHZ7fuJnuUpTDu74Em8AqzKIYri6RsITz6fxTX854jU/ez7ZSz9MNsxhutsgk4K6RnxzCxjD5g376OwobhGtB+/ZwqVXnYS1Yz+EtrX2sfaxXWQyhT10te7q5dab1vH29768qFhEZgIl6iIiBbKxKOff/hUynb08/alrab/3CVzoMNbQdNwSTvvWx2g6enGtwxwpEsMtOQFbZKIeHnP6i4lz7tyryJ1zBXbDo0Qf+TWmfSeEOYjVYXraiy6t8UB01U+IPn4nmKHR+1MvhvqmfAmMHJIPIrglJ5Jd+VbcUSsO/elNEMHPWzRi803XPVH0yk3ZTMijD77A2RcsG3OfO299jr6edFHn3bJxH7lsSCSqBzWR/SlRFxEpUmzuLM74z0/UOoyiZC96J3br09ie9oL2d3MOI3v+Ww7caAPc8eeQPv6cAzbXf/HtkCuudMEAJtUPqf6XTr9nCz5Wh8dMmQmlnuovfuRtQObiPyM854oJnadzX3Gj6cPu+d3GMRN15zzbthb/oNWxb4C1j+3kjFcWNkFaZKZQoi4iFRWmsxA6bH1s0tRsz0S+uYXM5X9F7LZvY3sP3f7QzV5A5sqPQ1Nh5Tu+fhZmnHMWwrgcJtWHN6bokd5a8fEG/Kz5mJ42TJUWaApnt3DrC0vZdv8DOOeIxgIufl2Cs847quBz5LIhvsR7nE6NXXeeGsySLbDkZX8u9LywpVOJushBlKiLSNmlWjvY+PWbab//KcKBNOCxsSizVywn8X/fyazj9cu4Ftwxp5F+26eI/e5abFcrZqDngNd9YzNuzkIyl/8l/rDCkz7f2AxlSNSHGe/xxmBKzSSryKQH8NE60lf8f0Tv/jFBsfMAipQizj17juLep7YesH3rpg5++b9rWby0mf7eNJl0iDGwYGETr7ksMaJv+UQems0h6tO9K/17tmH93pKPFZmulKiLSFlt+NpNvHDd7aT3dIx4bWDrHjpWr2f++Sdz+nf/FhtRPWq1+cUvI/3nX8a0bSf60C+GFhcyuOYWcue/edRa5vG4xS8j2LO5rHEa73F1jZhcpqhVNqvNAPR1EP/F10i9/dPEb/s2tkI19gM+zoO9x/DrruNHvJbJhLTu7qV194ETdLds6uC5p1tZsLCJd3/gFcyeU8f6tbtZdccmXIlJ9eGLZo3Ylk7neHjVVp744zb6eourTx820J8hncoRr1NqIjLM+CkwYlEhHqCtrXe8/aQELS35N3Ld3/KbzPc2+W83svn7txH2HrovsolFaLnodM788dWTqhxmMt/bycz0tBP/4SexfSMfzibCR+KQS1e9BrxUPlZPZuU7iD308xGfVkzovEGE3eF8ftN2PGsGl5V8nrnzG4jHLR3tgwV3ZBnNnHn1NDbFOGflMl5x7lLuv2sT996xicGBiT9QXfXOUzjv4qMnfJ5y0vtC5cyke9vSMquktzI9topIWey54xE2ffsX+Exu3H19Jkf7/WvZdv2dHPWeS6oQnVSSn70At/hlmA2PlncS6BRK0iHfBz7YvIb06z9M7L4b891wsqWNLg9zjc1sPv+j/McNexgcnFgiXOrk0YN1dQzS1THIL//3KX71v08RhuX7nu/eWb4HHJHpQAseiciEPf+9W3jig18pKEkf5gYzbLv+jgpGJdWUedPf5vu1m/L9WplKSfqwYOcG3LIVpD7yDdJv/BjhUSsIDz8aH40X9QjjgXD+EaT+4lv8dnW6LKPV5eZCX9YkHSAcbX0CkRlMI+oiMiEvXH8nm665GZcuPpEY2NFGz/qtzD5pWfkDk/LJpvNtFGP1EKuD0cqVonHS7/lXYrd+G7vjOUx3+5RpsVhW6QGiq39F9tXvwZ3wStInvDK/PZsm9tMvEmxZW9ADiAFsx24Y7GdfW/+4+08Xax7bSWfHIMefvJBXXriceFxpisxs+hcgIiULB9Js+tbPyXb2lXR8tqOXrrWblKhPRrkswVP3EXn8dsxANzgH1uLrmsid8irCMy7JJ+37i8TIvOlvIdVP5OFbCV5YDy4EYwn27YAy1m1PVgawu0eZWBuNQ5GfNhjviP/8K+Ryry1PcFNALuPY9Fw7m55r56F7t7D82Pm89c9O00JIMmMpUReRkr1ww52kdhW2gM5Ywr5DTzyV6jPtO4nf9EVMVysmPKicqWcf9u4f4x+/ncyVH8cdmRh5grpGche9k/2PnPXrawjXrKpo3JPGaE0avCN4YV3R5Ty7tnfT3VWd/uyTTUf7AF0dA7S39vGRT5xPNKZkXWYe1aiLSMl23nwfPlt6TamJBNQd2VLGiGSiTNde4v/7Oey+nSOT9OF9vMN27iH2s69gdj9f0Hljl78fM2dmfK99fdOIbXbj4xAWVx62M9PM9/ZehCtzHfhU4hxs29LJ9f/5SK1DEakJJeoiUrJwcGIdLeqPbOGwi04vUzRSDrFffg3bVdjCM7Z3H7Fbvjn6CPLB+7YcQewtf41rmjvuvi7eWNZJqdXk6hrJnXPFiO22s7Wo83gP/7XvQjrDkUn/TOM9bN/aRfvemVOrLzJsar4TisjkMMGBvjmnH0vQEC9PLDJhZt9ObJEra5qeduwL6wraN3LKeWTe/AnCw4/G1Y9cNMc1NBMecSzpd/8zvnlqjr775hbcEceN3B6NFXWeZ1OL6cw1jr/jDNHbk+auXz9X6zBEqk416iJSMltfXPKxv/olh3HCP76njNHIREXvvxnT313UMTY9QPTBn5NednJB+7ulJ5H+4L9jdm/Or4za1wXG4GfPJ3v+W/ALjgQgPPpUzJN3Y9zUadfnG5rJrnzHqF1xwiUn5ieTelfQue7sWUHKl/7vazratb24n02R6UCJuoiUbPEV59GzfiuEhSUfw2KHzeX07/4N9TWuT89295Fu68YElvhhc6Fl5CjvTGLad5R2XJHJPYBfdDSZN//dmK9nX/dB7L6d2O3PTYlk3Tc2kzn/rbjjzx59h5Yj8fF6TKqw8o0+Vzf+TjNMmCvufUZkOlCiLiIlW/a+S3nhx3cwuK2wmmaAyKwGzr3l8zQdvbiCkY3Ne0/bPU+w6Vu/YGBbKy6VAQNBfR3zTzma0/7pT2H5kVWJpX/rHvY9uI5c/yD1R7aw8JIzsUF1O1vY7c8Svf0HmM49mHSJK1f2TKzzz6iCCOl3f4bYrd/EvvAMpnffiI4pHiCI4mfNBecwPfte7N3uqc6CSa5xDn7eIrIXvQO37JRD7ps9/y3Efn9dQXE5PxWXe6osG+ieyMyjRF1EXuS9p3fDdlK72sns68HWx4k2NdC4/HAali4csX+kqZ5l77uUjdfcTK57/JHC+MK5vOK6q2uWpIcDaR59z+fpXLNxlLaQPezYvpe9q5/hsD85g1Ov+SjGVmYazws33slz/3o92e7+lz6NMGCiEeaekeD073yc+iMq+2mD2bWJ+E+/gOnvwhQwGfSQ58qkIJeFbAq763lID+DnHIZfdMzoiyMVKoiQuepvob+L6IO/wG57FpMdBOfwDc3kznw94YnngQ0g1U+w7n5sxy6wAfb5Jwn2bp3Q3+tQXEMzubMuIzz5Qvycwwo6Jjznjbgn7sR27B43WQ+MRo8PNrtZnzLIzGP8BN+gpzAP0NbWW+s4pqWWoRIC3d/yK8e97du8i41f/Sn9m3fhQocJwKVz9G/ejUtnRkwSjcxpoumYxSz/0BUsfuN5mIOSr+SXbmDrdbeT7Rg7projFnDKV/6Cw159Bv8/e/cdJldZNn78e86ZPrO9ZFt6mYSENBJII5QA0lGaoGBBxFdBRX8K1ldFxV4R5VURBUWpAgKCCAECpEBIAknIpLftfXd26jnn+f0xm7LJbnZnduru87muXJvMnPJkdnfmPs+5n/vu3LybhmfXEu3wYyvOo/LSpeRNG5vw/2coTN1gzZX/S9uaLYMuglXtViovW8q8u25N7hhMk9fO/zJdm05c0lCxaiz86zdSVhFH3bcF29+/ixodXtWeQwQgnHmxGfnDaacGXOsAACAASURBVCoKWCzok+YTvfjTlE2I3aVI13uC0nIA+9++g9rVmpLjm3nFhD75c3AXxLmjgf2eW1FbDw4YrAvgwe4zeb19/HCHOWI4nBY+fssiJk8rTfu55edZ6oym17asLC+hWQsZqI+CH45MGE2/fOk2nNc23NTB+k/+GP+uWiLN8ecVay47JUtOZsF9t6ParH2ea12zhR0/exj/zoOEm9oRuolqt+KoLKFo4XS8t11L25qt7PnDvwgcbO4T1NtKC3COLWPKLVdQefHiuMc1FDvv/ifbvnv/kEoJAlgK3Cy8/2uULJqZtDG8fslXaF83tMoVikVj2XM/oeDkSUk7PwDBbhx3fwY1mFg32XjF0lMs2D/5XawnLUz+e4IwY3nsrbWxRakl1Zg101E6GrH99VuoHc2H02GSyXTmEf7o9xFlCVxgCoHqW4vt+XtR/O2xYuEAqoJwFRBZ8RHaahby6x+somuUNjs6VlVNPl/437OOmyRIB/l5ljqj6bVNNFCXqS+SNEr07Knn9QtvJ9KWeBt3IxCm+eUNrL/xJyz4y1fR/UH2/OFp6p98Dd0fRJgCRVPJnz2ZygsXUzhvKkWnTEN12Hj3tnuoe+I19K7jU2QiLZ1EWjrZ+Plf075xBycluRpMsL4V351/HXKQDqB39rDj549Q8nAsUO/cupfWVzcR7Q7gGFNExfmLsJcXDvl4nVv20P6Wb8jbC91g7bV3cN7mPw95n6GwvvEESpqCdOjNEzd0In/4Jsrnfg6eJN05iYaxvPYYlm2rUTpbUKKxgFbYHAh3EQS7UAdZuDmsPHZFBYt18O363VfBnL6I0PRFEOpB6WoFIRD5xdBbtrIQmDi1hHfeqo3nx3ZEKi518dHPnJaRIF2SMk0G6pI0wgkh2HbnX9l9z5OISP+dJuM6nm7Q+sZmfD98kNpHXyZY1wJm30gieKCZwJ4GCmZPZuGfv8r2n/yD2sdf7ScvvC/DH2T33U8Q2F3HKffePuwPZlM3eOeLv6H28VUIPf7KId07DrDnvmc5+OCLBA429bkLsOMXj+CZWoP3a9dRNHfqoMfaeMsvj3udBhNp66JnfyPuftYHJESYaJtfTcsiy+MYOuE/fgtu/dPwj9XTGUtradx73Gy5EgmhROqHdJhhvQ42ByKveDhHiHG4EY7+66Wfce4UNr9djxFnVaWRxGJV+dQXl1JSJmvKS6OTbHgkSSPcO1+8mz1/+FdSgvRD9O4Au+5+nODB5gGDz2h7Ny2rNrH6im9y8JGVgwbph5kmDc+uZcP//JzhpOb5d9fx4vwbOfjQSkQ0sf97pLmT9779Zzrf2XVc/n2orpWWVzbx1vV3cuAfLw4+nh218Q/AMNl82z3x7zcApbMloVKKSePvRKndPrxjRMPYH/wOWuOelKS0DJVZNRUsqa1z/vxT743qIB2goipPBunSqCYDdUkawfbd/zz1/3oDMxhJ+rFFdAgz1KagY8MOggea4zy4oOHZ1Wz9VmKzr+/cdg8vL72ZcGN7QvsfHkZUj5VvPIFwUzvvfe8Bml7aMOA2ZjSKMBMLuPy7EgjwBxIODLnhTkoIE9vzw5tR1956DrVxX5IGFCOIr8mu6S4gesY1SR3DsXq6wzTWjfy83cFUVOdnegiSlFEyUJekEUoIwd77nkXvTrA2dvIGEldu+CFmRI9Vhuknp30g/j11vDDnBvb/5bm400yGI9LcwbY7HxjweRFvJNhn3yT+P2zOWG51Bindw6jCIgSWd1aiJPli41AKzFBeadPuRj/lfERpdVLHcCzf1iY62oZ4F2qEysu3c+7F0zM9DEnKKBmoS9II1b7eR6g2BY1o0ih4sIndf3x6SNt2bdvP6g98k3BDW4pH1b/AgSY63um/7KJms6Joib3duscmKT8dEAWlCKcnacdLbBCJX3goTfuGF+gPQniKMZ0Dd6c184rRF1+GnuLZdICuTlntpbKmQKa9SKOeDNQlaYRqeHp1rKFOLhOw61ePseu3T2BGogNuZoSjrL/hh4TrUxfEDUbv8LP7t08M+Lxr3NCa4vShqsz64U3DGNWxx9MwZi7LYGY3CEfiFwpKdxtKKDV3iBQATSN85W3o3lMxC8dg5pVg5pdiFlcRXXAB4U/8BP30q1Jy/mM5nQlWlBkhqsYW8JH/WZjpYUhSxsmqL5I0QkU70leCL5XMUIRt37+f+qff4LSHvo01z3XcNgcfWUnwQFMGRtdX6AQ58XN+9TneuPSrcaXkWAvd5HnHJWNoh0WXXoG24b8okcykVejLrkh8Z1WNdTpN0ZWG0tmCZfdGIld/NTbzHwnFzmm1p+aEJzDZW0pevp3uruQ0pcoV+YUOqmryue6mhThG+cWKJIEM1CVpxLIWDXwLP9cI3aRj/XbWXXsHi//5PVRr37eufX95DjOJVW0S1bZ6C/7ddXgmVR33XPHC6XimjcW/bf+QjqVoKgvu/UqyhwjuAiJXfBn7w3eiGGl+zRxujJOWJLy7KBwDDg8EUlO5RkGgHniv9x8K2J1xHyMc0tnxXjOd7UEcTgvjJhZTVhH/XYTScg82uwUYmYG6J99OeYWHzvYQNruGxapSVVPAuRd7KSw+/mJckkYrGahL0ggkhKBogRdUJa2LKlOtc9Muah97lbHXnH34MSMcJdKSwZKDRxOCV8/+Ame++mtc/dQ+X77yl7y85GYCe05c51uxaMz51WcpWZK8rqhHM6fMI/zhb2F76Aco4UDa6qprSy8GVUt4f1FciVlYhpaiQB0AM/56+wCtzT08+9gWDuzroKMtcLjZqCfPTnGpi9NXTGbuqdVD6g2g6yav/GcHbS05nrp2AqZh8pkvn57pYUhS1pM56pI0ghiBMLt++wSvnnUr7375dyMqSAcwI1H2/umZPo8ZvR1Rs4UZDLP22jv6rdaiqipnr/kdU774QSweZ+xC6iiKRcM9bSynv/Azaq48M7XjHD+L0Jf/SvjyL2HmlyIsNoRmTWn+urn+JZT6/hfcDpW+8CJEKivXqPHPX23f0sTvfvIam9bX0dZyJEgH8HeH2b+nnUcf2Mjf712PeYKfVSEE/37iPX76rRd57on3RnZHUtllVJKGRM6oS9IIEaxvZd0138G/8yBCH7lNUoL1rQT2Nx6esdbcjqxrLd6zt4G2tVspWdT/jPj0269l+u3X0vbmNlpe3US0swfn2HLGffgcLC5H+gaqKJgzlxKaufTwQ5ZXH8K66hGUBGeWT0R0NGN//GeEPvUrsCSWf2xMnjusyjEnIlQVffppce1Te6CTh/7yNp3tJ67SEg7rvLuhDvuDFq64bu5xz/f4wzx473p2b28hGhm5v7+HeDw2dm5rprkxtpamvDKPiVNKUNXs+l2WpEyTgbokjQCRDj9rr/4W/u0HMz2UlDP8IUINbUcCdYcNI5Rleby6wc5fPELJQydOXSleOJ3ihdlVJ1pfegXa7k2oB7alpPOn0tmM9u7LGPPOjX9n08Dx56+RqtWkIr8MY/55ce3zxIObBg3SD4lGTLZsamDFhUEKi50IIdjla+HFZ7dzYE87oVDm11mkS3Ojn//7+euHr7lsdo3CYiez51dx9gXTevPzJUmSqS+SNAJs/ea9oyJIB0Chzwy67s/OpjCBuhytYa9ZCH/4W5gTTsa0J39Rn2LoWNY/n9C+2rY1KG0NKcmpFxYrxtQFcVV4aWvpoaU5vjzyro4Q/33Wh2kK/vaHt/jz79ax473mURWkw/F90CJhg6Z6Py8+u53f/GgVPf7kd1OWpFwkA3VJynFGKELbuvcyPYy0seS5cI49UpN8733PZmW9+HBrV6aHkDirnfB13yZ41W1EteTPbCqBLkigu6hlzVMpmeUXFivGhNlE33dDXPu99uJuujvjv5uze3sLD/7xLd7dUE8oMHB/gNFICKg70Mnvf/E6ejT56VeSlGtkoC5JOa7uydcI5ngH0nhYC9z07Kkn0hYLhJtf3piVi2b19u5MD2FYBPBXS5jfLz2HpGdMmyZE45wx7elA6Ur851xoFsQxc/FC1TCLKtDnnUfkmq9BnItU451NP6SrPcR77zZgjOC1JMNVf7CLNa/uzfQwJCnjZBKYJOW4rq17EdHRc9vcv+MAa6/5DrbSAvKm1hDJ1oBYCCJtXdiK8zM9koTsCrSwJ9BCZEwVLZ58yv1JvEOQQBMhxd8Rf3B/FGPCyZg1XrS9m8HUQbWgz1iMMXdFwg2NEl34ONrSXBJhmoJ1r+9j2YrJmR6KJGWUDNQlKddl4WxySpmxbqWhg82EDjajWBKvy51SAhr/8yZjr1mR6ZEk5OWW7URELPXgN2ddxBf++yRFwUBSji3yS+Mvz6eoJJqcblps6MuuxBx3EvryDyZ2kH5Ujy1g84YT18SXEtfZHqKpoZvyipHTvE2S4iVTXyQpx3mm1YA2en+VhZ69eayhpo64tvfrYXb3tLDd38jBYAdmhgppB40oTeEjdyr8Die/OOcydpeUE7IMb35HWO1EF10W/34FpWCLv1MogMgrxhw7I6F9T2TJWZMoLE5sTNLgwiGdro6hVdSRpJFKzqhLUo6rvnw5O+96nOC+xkwPRTqGNX9oVVN297SwsmU7DeEugmZscaECqIpCha2Aq6rmUWqPvw19orr1ECGzb3qG3+HkN2dfTHlXB+dt2UBpTxeaKbBFIxSGAljNoeVbi6IKzGkL4h+U3YUorYHO5rh2E6pK9KJPp6TBjttjo7I6n4627Kw8lOsUBZTe9CIhBJGIQTRi4HBYsFiz9E6aJCWZDNQlKcdZ3E4K50yRgXqW0TwOShbPOuE2QgiebtzM2x0HiNL3zoAADCGoDXfw6z0rmZlXxdVV89PS3ClqGpgDVFdpyi/kr4vP6vPYxe+s47Td23EPkkOulNUQvvYboCYWZEWXX41SuwM15B/S9gLQT1qGOXF2Qucbiqs+Oo/f/ngVLU3ZV3ko15mmYN2qfWzf0siWTY2EAlFMIVBVhfxCB6evmMzsU6rQRvEdRWnkk4G6JI0AM79/I53v7iawR+bLZgv35GryvGOPezxqGmzurqMp3M3uQAt1oc5BCw6awLvddYQP6lxfc2rKg3WLoqAw9LZCT88+lXanm2W7tlEcCGA1+pYcND3FWCrH4/jo1+gJJ/6xY9ZMx5i2AGXr6yj6icsaCsCsmET00s8mfL6hyC9w8Mlbl3DvXatpaezBHG1rRlLIMATr1xzo97mOtiAPH3ibF5/dzo2fW0RhcfJr/ktSNlBEhnIgs4AAaG7O0ooROa6sLLb4R76+yTfQa9u9/QBvfvROArtlsJ5pqtPG7J/dTM0VZxx+LGBE+HfjFvYF2+iIBgecsR7MBeUnsbQ4tZUwuvUQP935X4w4x6gIk2s7o8zbtQWiIVA1zJJq9GVXUTplIpCE9wRhYn3qN2jb3xxwZl1Y7ZiVk2Oz9wnmtccrHNZ58RkfL/17R1rOJx1ROsbNzbedTl6+IyXHl59nqTOaXtuysryEZljkjLokjRB508ay7JkfsePnD9P00tsE9jUgZJ3mtFPsViovXtInSO+IBvjzgbW0RIaWsnEiLzRtw6XamFNQg5qimXWXZsOl2eg24mvmoyga6qxFhBddmZJxxU6iEr3scxi127G88hBqywGIhAEBFhuisJzo4sswpy2Muy76cLS3BtiwbpR0B84yLY09/P3et7npC0syPRRJSjoZqEvSCGIrzmfm925khm6wcvGnCe5vyvSQRhV7ZTFFly/Ff/MZPNO4GZuiUeUo5IXm92iJJieHWcfknw2bWN+5n4+MPQ2bmvy3cU1RmeQqZVN3bVz7FdlcTHOXD75hEpjV04h86JsQDqJ0t4FpIDyF4Ep/3XrDMLn/nnW0t8pFpZnSWN9FV2eI/ILUzKpLUqZkfaDu9XotwGeBTwITgXrgPuCHPp9P9l6WpH6o2VpbfKRSFTw3n8/Oa2awgTBdze8dfkpDiTuFZDAmgr3BNu7a8wq3TFiOgSBi6jhUKw7NmpRznF3mZWegmR5jaE2GFGCGpyJls/wDsjsR9ur0nvMY77xdR1uCXUql5OhsD7HyuR1c9sGTMz0USUqqrA/UgbuBm4DXgKeApcAdwBwghfdXJSnHpTtgGsXalk9k85Xj8Oudxz2X7CD9aO3RAN/d8Rxu1YaiKKiA22JnQeE45heMw5pgdRWAEpubBQXjWNO+l7AYvJNmtaOQc0q9CZ8vFwkh8G1p4tH7N6Lro3a9V9aoP5jE7rmSlCWyOlD3er1LiAXpjwJX+3w+4fV6FeDPwEe8Xu/FPp/v6UyOUZKylcWZWFt0KT7d3hL23HIqUTLXFr7HPDLr3WWEeaZxC6vb9/Ch6oWU2xPv6nhO2XQA3urcP+DMuk3RqHDk85Ga07AM48Ig1/T4I9z769U01nUTDmfuey8dIYZYy1+Sckm2Fx+9uffrd3w+nwDo/fpVYlVbbszUwCQp25Wfm0BTmVyU4RsH+28+jWiZO7ODOIaJoCXSwwMH19IeDSR8HEVROLd8Bp8cv5TZeVUUW114NDtuzUa+xcF4ZzFXV83nxnFLk5ZykwtCoSj3/Ow19u9pz9og3WbXKCpxYbFm+8d88jhco+dnUBo9snpGHVgOtPh8vs1HP+jz+eq8Xu924Iz+d5MkafJn3k/t468Sqm3J9FBSSnM7MfyZWcQXLncTqkr/4sWhao8GeaTubW4av2xYxym1ebi6+hR0YdKjhzGEiUuzjarg/GiP3r8x69MsImGDaCTAqKrALASmGWuIJEkjRdZeanu9XjtQA+waYJO9QKHX6y1L26AkKcsYgTBNL65n3wPPx4LyxvbDz9mK8xl//XlYhtjGPldlKkgHaLxketbNph+rLRKgLZKchY4WRaXA6qTY5h61QXo4pLN/T/vgG2aBURWkA1s2NXLPT1cRjRqDbyxJOSKbZ9SLe792DPD8oVVbBUBzoic5VGxfSg35+qZGh28/b970c1re3IYRjh5uIalYVBylhSz82f8w6ZqzKbvzE9gV8P3hGcItxy90lIYnXOHJ9BAG5TfCrOnZy0erF2V6KEDuvyf8+4ktdLTJMozZaveONr5289NMO6mMaz9+ChOnlCbt2Ln+s5vN5Gs7sKydUQcOTdcM1HHj0OOyaKo0qvj++DRPzr2JxlXvYoSiffq8C90k2NDGq9f9gGeWfhYzqjP/ezdQff5CVPvonAFNJVdBbny4NAdHfte/dNnxXjOmObKmqh3O1L43aBY1rekoh6rxfO8rz/ODr/+HYGBoJUYlKRtl84z6oSkL2wDPHyppMax7uqOhbW0mjKa2wOlU98wbbLj5LkR0kAVsQtC85j2eOv1W8mdN5OATr2OGZduBZNE8TsqWz6H8wrOpa92a0hKMyRCJGhn/Xcz29wQhBLpuYugmkbCBw2nBZj/+I7InEF+31lwQCqb2vcHIUIdkXTfZtqWR737lOW6+7fR+v59Dke0/u7lsNL22id41yOZAvRMwiaW29KfgqO0kacQThsHm238/eJB+lPY3t9G5eRemnFFKqjm/uIWqS5cSNQ1e69pD2zAqq6SDPQXdS0eCSFhn7Wv7WLdqH+1tASJhA0FsMaLdYaWo2Mmysycx77SxWCyxG9D5Bc4Mj1qKV+3+Th55YCMfvnGUVMKSRpSsTX3x+XwRYB+xbqT9mUisIkxb+kYlSZnT8PybROLNMxdCBulJJoD2t3wAWFWNCa6SzA5oEDZF47Sigd5GR68d7zXx02+/xL8efpf62i5CQR3TFAgTDF0Q8EcOB3i/uGMlrb2dR5eePRG3Z6AbvVK22rerjXAoO0tpStKJZG2g3us1oMLr9U47+kGv11sFTAVWZ2RUkpQBO3/16Ogr45CFFGDv86sRRqyyxMVjZlFpz94SjQVWJ1PdsjjW0XZsa+bBe9fT1hJgsB45piForO/mNz96lc6OINVjCykskbPquaajLcAbK3dnehiSFLdsD9Tv7/16p9frVQF6O5P+gNjn5e8zNTBJSrdI+8jP4csVelMHrW9vB8CmWrhh3GLytOxb1+7SbJxRMgVVkXWlD9F1k0fv30B3Z3y55t2dYX7741UAnH/ZDDz5svNvLjFN2LVjZPeUkEamrA7UfT7ff4GHgCuA1V6v94fAK8BHgEeBZzI4PElKLzmZnjXUQJSdB/ce/rdTs/G+sumZG1A/3JqNZcWTmVswNtNDySrr1xygoz2U0L6tzQHeWLmHGSdXcN4l01E1eQGUSwxdvolKuSerA/Ve1wP/C5QCtwIVvf++zufzyd86adSwjvDGRZlmWlVaTx9P7bUnU3fVTDrmVyIGiMOERWW3fqTFg18P80rbzjSN9MQ8mp1xzmKuqpzP8pIpmR5O1lnzyp5hVSF57smtCCFYcuZETppdkcSRSanmdMkStVLuyfpSAD6fLwp8t/ePJI1ak2+5gg2f/qmcWU+BSIGdLXdfEmtgZNViD+omim5gq+tm6h0r8ew5EphHC+yExxcBsbJ+DxxcS3PEn4mhHzbDXc54Vykz8yopssmLuoF0tg+vWVEwqLN3VxsTp5Rw+YfmcGBPO50dic3QS+njcFhYfKZcVC3lnqwP1CVJiqm6dDGbv+Ih2pHZgHAksnaFce1oJTz2qGqwFhVhUQlPKmbzfZejhHTKn91Ozf0bCVflo1QUArAr0EJLeFjtHJJCUzWWlUzO9DAO8+thXmndwa6eFqLCQNujYNMsTHaUsqx4Mm5LZnK8e3qGVzNcmILX/ruLiVNKyC90UFGdLwP1HFBY4mSKN3ldSiUpXWSgLkk5QtE0Znzn47zzxbvByEwDkZFKaCpV/3iH9rMn9b+BoiCcVhovP4m2MyagBqKs8JQD8GrrTsIi82XfakOdhE09qTXTTSHo0oNETAO7aiHf4kAZZGGqEIL/NG9jU9dBuvTjA9i6QCebumpZWDiOs0q9SRvrULS19GAm4Xfn6GD/w59cwG9+9CpN9fICOlu5XFaWnzNl0J9dScpGMlCXpBwy7poVWAMh3v7mvYgMdfsbifQCO7v/3zKIGGDTBt5QUYiWugHo6G1y1JElzY46o0H2B9uY6i4f9rF69DCr2nbh8zcSNKKYwkRVVFyaldn51SwqmohD6z/f95nGzWzoPEBYGAMev0sP8VrbbqKmyXnlM4Y93qHavqUpKRVOVfVIwOdy2/j0l5bxp7vW0NzoJxQ8/qLNYlEwTTFoKUgp+ZyuWMrLqcvGZ3ookpQQGahLUo6Zffs1VJ41h5eu+R7Bg80IfeCASBoaw2klOKUYtKGvr9/QeZCZeVUYWVLb3kTQow+/udV2fyNPNbxLh358LrffCPNii4+3Ow9wddV8apxFfZ7f1dPMpq7aEwbph4RNnTfb9zIjr4KxxxwnVTa9VZuU44yb1He8efkOPve1M9jpa+HFZ7bT3hrAMEw0TcWTZ2P5OZOpmVDEr77/MoFhpt5IQ6NZVMrGuDnzfVNZsHhcpocjSQmTgbok5aCyU2dw9tp7iHT42f+3Fwjsraf55Y0E9zdlemg5qWteZVxBOkDQjPKf5q2oWXI3XQEcw0x72dPTwj/rN9FtDFxjXABt0QB/r13PR2pOY4wj7/BzL7fuIGgOPRANCp0Xm318bNyi4Qx7SEwz1rhouAqKHSw/5/i1AIqiMHV6GVOnx5pLCSGOS7X46g/O5d5frWHvLtlQO9k0i0JJmRurVWNMVT6Lz5jAhMnFMt1FynkyUJekHGYr9DDl5g8A0LFpJ29c+jXM0PBnVUeTSImLgx+bl9C++4PtlFo9SR5RYvI0B9XOwoT3N4XgqcZ3TxikH61TD/J4wwY+PWE5AN16iNZw/HnaewOtBIwILs0W977x2OVrIRAY/u/G2HFFuNyDj7W/ANHptHHLV5ZzYG87/3zwHWr3d2AY2XFHJtdVVRfw+W+cmelhSFLSyUBdkkaIgtmTY9Oq0pDpeTbqr5p5OO88XoLYzLpFUdFFZhOQC21O8iyJd0fd4W+kMxpf6cL2aJDGcBdj7Pk0hruHHOQfTcdkp7+J2QU1ce8bj8a6LvTo8ILiknI3Vyd4UXe0sROK+NzXziAYiFJ3sIO33tjPjvdaCPREiEaMpOTRjzaaNRfawkhS/GSgLkkjRMsrm0De5h2ycKmL+qtm0nDN7GEdJ2LqeDR7vznd6bSwYPDFckIIIsIg2lvFxaoeWTj7evtuIkPILT9awIiwsmU711QvIGLqCZf4f7Nzf8oDdXOYKzndeTZuuX35kGbTh8rpsjJ5WhmTp8XSZQzdxLe1iZZGP6+v3E1rc3YsVM4FeQWZKfcpSakmA3VJGiGaX9mIGYh/RnM0CJe4YncbFDAdVjoXVFF73ZyEZ9KPFhEGNVYXAkFnP+UI08GqaEx2D1wjOmLqrGvfx4auAwSN6OH8aY9m57SiCcwpqCFoJLbIsbv3/+zSbCgk1o+rI86Z/ETkFzkT3re41MXt3zsHLc51DPHSLOrhbqfTTx7D3T96lR6/XHw6FI21XZim6FORR5JGAhmoS9IIofdkdkY3m/m+t4JIdT7ComK4rEm/86Bjcn3NaTxc9zYd0UDcM9PDVWR1DZj2sjfQxmP1G+iMBjh2TrlLD/Gvhnd5rW1XwjPOh/aqcRahJZgCpKYhZ2vchCIUhYTSSmbNq0x5kH6s8oo8Pn7zIn7709cwZR77oAIBnY62AMVJuPiWpGwiA3VJGiEc5ekpcZcrIkUO6j40h675lQRrChCO1L3dNYa6sSkan514Bjt6mlnVtpOAHqEl4sdIOCFk6ObkV/W7ePFgsJ2H69b323joEB2T5kjizXpsxNJnLIqKS7Od8FwDUdOQsuXOs2O1aUTC8V9EZSqtYsKUEs46fyor/70D05TB+olEIwbhUOYbj0lSsslAXZJGiOorz2TvX54j0tSR6aFkhO6ycuBj8xAOC5EiBz3Ty4iWp6ciS1jo/GLPSvI1OzeMX8Inxi0B4L59q9kVzZBvQQAAIABJREFUbEnpuT2qjdOKJh73uBCCx+s3JRQ4x8N5VOOjUwrGsrJ1R9zHcKe44guA3W6hbIyH2v2dce2XX2Bn7oLU5s8fEo0YmKbAZtcOX3idf9kMWhr9vLO+LqsWmSZ6dyJV9KiBzS5DGmnkkT/VkjRCuCdU4B5fMWoDdUsgiqPBz77PLwZTkO4C5wJBpxHirj0vc9O4ZVQ5CzgYak/5ea+vOa3fLqG7As1xV3FJRG3oyM/b6SVTeKtjf1zVX2yKxvKSqakY2nGWnzuZR/6yET2Orr4l5R6KSlwpG9PBve38/b63aWnsQfRGvqqqUFmTz5UfmUf12AKuu2kh37vteTo7MrMG4lhOl4X8AgeN9YnfiUk6RUnp90mSMkXWM5KkEcR7+4ewlRRkehgZY2vprZKRwQVlujD5w/7XiZh6ytNeprrKqHb1Xzt9VesuwiL1qQDRo3LSbaqFKe6yuDLOC60uprrLkj+wfsxdUEPpmKHfZfHk2zn/sukpGYthmPz8jpf41Z2v0FjXjWGYmKbANAW6bnJgbwe//O5KfvfTVZiGoKQ8e3KvK6sLuPqj88kvTLwcaLI5HJpcSCqNSDJQl6QcZwTC7L7nSd54/9fx/fBvWPKcKLbRebPMtGuDb5QGUWGwsiX+FJB4uDUbl1ScPODzASM9ja/sat/X/NKK2VQ7htZ4qdDi5NrqU9LWPVKzqNz4ucWUDSFY9+TZOfdiL5O9yb+IME3Bj//3ReoOdJ0wfUQI2OVr5e6frMKewjUW8Wpp9lNRnc8U78CVhtJtOFV9JCmbZc9vviRJcRGmyZZv3kvTC28RrG1GHHs7X1PByGwTnnQyLCpdvaXtssG6jr3YFQu6SE3AXGJ1U2wbeJbVTMMiVoD5BeP6/NuqatwwbjF/r32LulAnPf1cMNgUjUKri2urT6HMnpeWcR5SWOzkM7edzj/+tJ7G+m462vqmBzldVopKnLzv0hnMnFuZkjE8+Y93aG3qGfL2+3e3s/iMCTgcFkJZsGCyqyPM97/yPNFoeqsbncjMOan5XklSpslAXZJykDBN3vzInbS8ugkzPECd5VEUpANExrhped+UTA/jsLCpY9VSUy2k0OLkisq5J9zGoqT+hqmmqCwrnnzc4zbVwkfHLqI57OelFh+N4W7QQEPBgZXTS6Yw1V2Wtpn0Y+Xl2/nkrUvwd4d55T87qd3fgWkK3B4by8+dwvhJxSk7t2kK1r2+P+79tmysp7DYSUNddwpGFb9AT/bUdy8qcXLGucf/HErSSCADdUnKQeu+dM+Jg/RRRqjQNacSkWVVH/xxLKocCoVYzfRrqxdQYj9x+sZJngrqQp0pnVcf5yhEUwe+ICize/hg9Smxv5fFZs6bm1MfaAoRy/O2WNQTXgx48uxcdMXMlI/n0JjeXnOA//zLRzQS/0x0d1eYZWdP4pUXdtHjT09aU66YOqMMpyv1lYMkKROy61NNkqRB6aEIB55eLYP0XgLomVLC3lsXp+T4DsVCKA2LMg8ptrqosOfTGO4mZEYxhDhco3x2fhWLiib2W+XlWKcVTeTNjv106EOv/OJR7fjNoV9cdOlhgkYEZxrKKw4mGjV48/X9vP7ybrragxhGrEtlYZGTi66cyfRZY5I6gx8MRHj6kc1seLMWQ48lGikKlJZ5+ODH5zNu4pG+BqYp+Nvv3+S9zY0J1XGHWL765o0NlI3xYBhdhIKZT4HJFgVFstqLNHLJQF2ScszOPz9Hz/6mTA8jrQT0W0kk6rERmFzM9h+cm7LZdKH0DiDFVBQuq5jNKYWxnG9DmHREg0RMHYdqpdDqjCvQdGhWZuVXsa5jLxFz8ODQrloosjnxh4YeqLdGe1jVuovzymcMeZ9kUM0uVBEABKbiYPcukwd+/2a/5Qsbgt386a41ePLt3PqNMykoHP6iwxf+9R7/fWY7Rj8dQxvru7nrB69QVOriS99egc2m8chfNrD1nQai0eGlo+3fEyv3qVkULFYVVVUSDvwBVC1WDD3BprRZw7e5kfddmprqPJKUaTJQl6Qcs/exVZiR0TWb1nlKJdb2EJaeCJggNIXQ2AIOfmQu/pPHxKYyUyRspva11hSV8c5irqycS77V2efxkhMsFh2K95XNoMcIs7WrYdBSjWFT50Ao/hr87/kbOKds+vC7iwodi9mKIiIIxY6uFoNy1EeUMLDrPpz6FlTRhULs/7Nnn8bbq1ycMgt6Agq79tpoaetbiUYI6O4M88Ovv8BXv38u+cMI1v/9xBZeenbHoNVa2poDfP8rz/OZLy9j2+bGYQfpRzN0AQhQIL/QTo8/ihFHbXibTUNRFVRNwTRMwqHsWRSaCGOUrceRRhcZqEtSjjEjoy/lZd8tiwhOKgbDRNFNhE1LaXB+LA0lqTXRS21uLiyfhUezUeEoGH6QOwBFUbiich7jnPtY176XjmiQoJncn59uPURDuJOqIZZkPJZqdOCJrMQqWoAjAZdAI6pU0GM7HaHayQ8/i8VsQTnq+yAEFOQLPnFtN1pvbN7RqdDUauHZ/7rYuKVvne9oxORn31nJd35xYUJjbWn0s/LfJw7Sj9bTHeGen71Od1dy1yocJmIVWGBonUJVTcFqUTEMEz2SRW1Fh0nVZKVpaeSSgbok5RjVOrp+bQ1NwXD35kBrKiIDH8omAgsKepKC9YhpMMFVjE1Nz/dyYeF4FhaOZ3+gjcfqN9IW7UnaZUfI1NkXaKfI6oo7V90eWY9HX98n+D5EwcAuarGFH8LAhYXjyxkqCpQU9Z1NLSwQFBZEqb6uizXrIzzwaB5HJ04FeiL4tjThnVke11gBHnlgY9xpIt2dKQrSjzFYkG6xqmgaOT973p+SUpmjLo1co+sTX5JGgKr3LaT+5U3kfGLpIAy7xv5Pn0rHwioiGW4NLoCZeVVs6q5NzvGEIGzqKQ/UQ0aUNe172B9sxxQCQ5h0RgNJT7l/tmkzzzVtxaKqFGgOxjjyOat0GuUnqJFuj2zGo781aBdTBYHWT5A+GLdLsHhBkEBQ4bFnjoxDCHj8bxv56p3nxXU8PWqwb3db3OPIFnrURM/wzTiLRUWPI0VnKDx5Ns6T+enSCCYDdUnKMTM+fSlbf/0YwdrWTA8laaIFduqvPhn/SWWxGXPTJFyRR6TcHWvclAU8FjsaKgbDDzQURUlpkB40ovyzfiN1oc64qr4kSgAGJoZp0mT6aYr62dpdj9ti5+rK+Uxwl/TdwTTx6KsHDdIPSTQxyOWExQtC/PslN4HgkZ+jzo4QQoi4Fud2tAfjygOX+nJ7bCxYMo43Xt6TUHnKgZSN8VBekd6mWZKUTjJQl6QcY/U4GbNkFnsfeSXTQxk2w2ll59eW0zOtNBaUq5lpgDMUb7TvRkk4ZOzLqVmxKdrgGyagRw9z7/7VNEUy2xjHQNClh/jjgTeosOfzIetCvIVjAHBE34YkXPAMRXGhyflnBXj82SN154WAcFjH4Ri8zOUhyQwuRxNFgfLKPK68fi7jJxWz9Z0Gmhv8STl22Rg31//PqUk5liRlq+yYqpIkKS6n3/8VNGdqul6mi+62suWui2hfNp5IhSerg3SIzRqbSUoaEULQFElOsHI0UwjuP7g240H6sRrCXdy15WVW1voAcBrvJumSZ3CqCnNm9s0TVxSwxHmnxuXOfK34XKNpCld9dB5f/s4KJk4pQVUV5p1ag80+vItURYHqsQX8z5eWkV/gGHwHScphMlCXpBxksduYfOuVmR7GsGz//jkEppZkfYCeCk0RP/ftX83qtt1JPe52fyPN4eRfACRD1DR4dM8GtnbXo5De2Wmbte8FlifPjsUaX7BYUORMOMAcrUG+YQheeGobLU1HfibPvdjLjJPHYLMl9lraHRY+fvNp3PrN5NTEl6RsJwN1ScpRkz55Me7JVZkeRkL8k4sJHNW5cTTyG2FWtm5nfcf+w4916yHWte/lxRYfb7TtpjEc38z4a227iIjsTdHQhcnfa9+iMZLei7NjK6LMXVid0HEWnT4h7n3sdo1lKyams5poVmlvC/LUw5sP/1tRFK67aSGLz5pISZkLtZ8LdVVV0LTYH1VTcHtsVNbkc9k1J/Ptn1/ASXMqk9plVpKymcxRl6QcZXE7mX/v7axa8QXIsYYfB25agC5nwwgYUV5p3UGRxcmzTVtpjnT3qdeuolBkcXJm6TTmFY494bFMIeiIpn7h6HAJoMNUqUzjOcNHXRg4XVbOfN/UhI5z/vtPii2GjKN50ZKzJ2G3W4dce30kqj/YSTAQwemK3VlQFIVLrpzF+ZfOYO2qvWxaX4ehm6iawpjKPM692IthCNpaAgghyC90UFGVn+H/hSRlhgzUJSmHOSuK0Zx2DH/2B2imTaPxYi/NF04bUbPpxRYXZfY8ImYUq6KxK9AcV2JHWzTAfQfX9Jv9biJo1QM83rCR7T1NXF01f8CZxLCpJy2HPtVe6nIz0RbFoaZ+vNEorFobuyi0WFUu+MAMPHmJre+w2jQ++9Xl/Or7r2AYg4992sxyLrp8Jn/741sJnW+kaG8N8vaagyw9e1Kfx602jWUrJrNsxeR+9yspG15nXkkaCWSgLkk5zAiEMEORTA/jhAQQqs7H94NzCVXmQYK5qdmqXQ/QpgeA2Ax4Ivc2Bgv5BPBudx3OBiuXVs7udxurkjuZjJtDDtoNlUo19Wk67Z0qq9Y6cbqtnH/ZDJacOWnwnU6gamwhX75jBb/50av0+COIfr7hFqvKqUvHc/mH5wAQDo6+bsLHamk+kqcejRpomno47SUSMdiysY6Gum4QMKYyj5NPqcIa5zoCSRqJZKAuSTlMddgRZvbOououK42XeGm8YiaRMZ7Bd8hBR7/6qZ7RfrvzAOeWT++3A6hF1XBqVrr0UErHkAwC8BsqwmIMKXdbAAIFBRFXtZhuv8LzrxZx6rJJrLjQS35hciqElJZ7+PbPLqS50c9Df36b5oZuTAE2m8YZ501l6VkT0Y6qKtNYn1gVHrtTQ1VVgj25H+gHeiL86TdraKzrwtBNTBNCoSiRcP8Xa/a/bcQ7s5wrPjwXd4J3QCRpJJCBuiTlMAVQVKXfWb1ME0C4Ko8Dnz6VUbuSLsl0TF5s9nFxxcn9Pj87r5oXwtvSPKr4XVnYxThbdMg/FgqxDqXm4TB98IBdF04i7nm870Oz+l2wmAxlYzzccvvyE24jhKCzPbGLJwWFC94/gyf+/i5mFl+QD0ZR4N236wcMyvsTDhm8s74e35ZmvvCNMygdI5saSaNT7twrlSTpOJrbgcWdnXWEFaDp/KkySE+yTV21Az63qGhiGkeSGLtiMscZwp7Ap4+KQEEACjouDGy9s+19mWiYaj6qozJlQfpQdXeGEw6yQ0Gdpx7O7SAdYlV34gnSjxYO6fz8jpfp8Wd3ip8kpYoM1CUph2kOG46askwPY0AyRE++6AnKL9o1C9Ysf1tf7umhyDK83HQFgUYAlUjvbHtfKgY20Uh++Dls+p5hnWu4QsHosBKi9GhuB+nJEIkY/OV3azM9DEnKiOx+R5ckaVDjrjsXxZJ9i65Mi0qoQt6uTichRNZXfpnrCmFJwhVcfwH6sTR6cEdeQzOah3/CBNnsWsZn9UeCfbvaMHKsDK0kJYMM1CUpx4279hycY8vj3i9/1kTGXn8eWopSZyJj3HSemlhjGWlg2gnC0/pwZ0JVZxKlAA4lvqVO6V4YpREgL/xf3JFVuCOrcETfRRHhtJ0/v9BJXv7o7EyaTIYhWP1KZu+OSFImyEBdknKc5rQz/57/h6O6dMj75M+ayOLHv8ucn36Gcdefl5JxdU8vQ9jlevVkO8kzcKugprAfkcYZdQGEhB7XPpmYE9XowqlvxalvxR19g8LQo+SFn0c1e1J+blVVmLOgJuXnySQ1TZHEzm2ZuzMiSZkiA3VJGgEK507h1L99g7yTxp9whtyS76b6qjNZ8tQPsBbEyiVOueVyHFUlSR2PAKJFsvNosqkoXFQxa8DnzWws/3OMFj39aVrKMX/XhB+7sZf88JNoRlvKz3/W+VPxjOBZ9XR1XZX5+tJoJAN1SRoh8mdMYPlLv+TUB79J2dnz8HjHYi3Ow1LgIe/kicz49sc5950/Me83t/apFGMvK6T8nAWojuQFEgpQ+GYt5Hi1imwzI68Ch2Yd8Pkimxurkn3rFY72XKeHITT1TAuL6CYv8jyKSG1nX0+enas/Oh+Xe+DvXS5LV6BeOkZ2KpVGH3lfWpJGEEVRKFk0k5JFM+Pa7+QffYpoh5+GZ1YjkrRgy9bSg2dbM/6T4s+fl4433lnMNVWnDLpNodVJc8R/wu3SL1ZSEUDLsnWVFtGFK7qeHutpOHQfFrMeRRiYqouQZRaGWpyU85w0u4LrP7WQx/62iZbG1KfcjDSqpnD6ismZHoYkpZ2cUZckCUVVOemOG1CSOKtu6YlibZIBSTLYVQs3jluCMkhNelVRmObOxgsjhXItynR7iBmO9C3kHCq7vp3C4MO4o2/gMHZjN/fh1N8jP/QvCoKPY9H3J+U8U2eUc9sd57Ds7Oyvd59tSkpdlJTJGXVp9JGBuiRJAOz85SOYPclrPy8UEBb5FpMMUdOgNTq0i57J7uysqz/RHuXWMW18oKg762bVFaJY8Pc2UzpCI4RVNJMXeRl7dGtSzqWqChdfdTJuz8jNWU82zaLwgQ/NyfQwJCkj5KeoJEkAtL2Z3Nbzer6dcE1+Uo85WpkIGkJdxz0uhKA10sOBYDt1oU529zTzeP3GDIxwcHY1exe6Dl6PPYgr+hYW/WBSzmexqMxfPDYpxxrpVE3hoitmMk2m0EmjlMxRlyQJABGNr8zeYMLlHoITimL/MExQFRgkdUMaWJd+5G5H1DR4s2Mfb3ceoFsPETUNFCAqzKxseGTFxGvP7RbwGkHc0TV0Wq5MyvEuvWoWWzc10DoC0sNcHisBfzTpxy0pd3HJVbOYNbcq6ceWpFwhA3VJkgBQtORVCzGsKi0rJuHc2YrjYCddcysxCmW5xuFwabFUia5okL8cWEtzxJ+VQXl/ijSDea7kpVVlikW0UhB8BL9tOYY2ZljHUhSF2+5YwVc/8y/MHK6OVFjk4KQ5Fax5dS/mEG+a2GwasxdUUT4mD9/WRhpqu4lEdIQAd56NceOLOPP8qYyflJyFvJKUy2SgLkkSALaS5KSpCBX8s8bQcPUsUBWCE4tAk1l2EMs1FL1/4qGgMMaeR9CIcN+BNVlY1eVEBLNdIdQRcDNFAayijfzwf+ixLSVimTSs42mais2uEgoayRlgmhUUOfjC/56N3WGhdn8n+/e0D1qqMS/fztUfnceM2RUAnH3htDSMVJJyl/z0lCQJgCmfvQKLZ3iz3rrTQue8Krb96LxYcK4oMkg/hkezx72PBjzZ8A4/3/VSzgXp5ZrOBwq7Mz2QpNII4I68jma0JuFouXcFoygw55QqbrvjHNweGxaLyqe+uJSpM8oHrBWvqgrFpa4+QbokSYOTM+qSJAFQesYcnDVldG8bvBSd7rRgeGyo4dhMoGm3EK70UHftbDoWjWVETJ+mgEW1sKBgHCvbdsS1n47gYKgjRaNKHRuCr1Q2Z12Vl2TQCOCOrqVLu3BYx/Hk2QkFk7s+JJUUBeYvGsu1N/St6W+zW7jpC0s4uL+DF/61jca6bnTdRFUVHE4rC5aMZdHpE7DZZdghSfGQvzGSJAGxnNl59/w/1n34u4RqW0647a6vnUHXvEpsLQEwBdFSF3qB44T7SDDDPYZlJVN4t7uOliGWW8xVhZrO58tacY3gGyqa2YYigggl8TtRF3xgBg/831tJHFXqWK0qk71lfPBj8wfcpmZcIR+/eREApilQ5UW7JA3LCH4LlSQpXvkzxnPqX7+Oe0o16gDNj3SrSo+3FCPPTnBiEcHJxTJIHwINhQvHzMSuWfjYuEWUWHO7eYsFE7WfbPs81WCiLcKXxrRSacvN3OuhUunBpu8Z1jFmn1KNzZ68hdypUjbGzennTOGGzy4acvAtg3RJGj45oy5JUh/5J03kjFd+Tf1Tr7Pnj08Tae1C6AZBxaCjwsn+j88jUp7bQWYmzMqrwm2J5acXWl18asIynmvayt5AKx3RANlbZbyv01wBVuT5KdAMtoUcvN7jIioUhIBii84lhX4qrbmTyjEcCqCK4a0ZUBSFCz5wEk899O6gCzEzZeqMUm78/BI0ud5EktJOBuqSJB1HtWhUX76c6suXA7HGOmFT5649rxDQgxkeXW5RgMmuMq6omtfncZdm4/LKueimwZbueprC3RimweqOvRhZWnbxqsIOFrmDuLXY+E7zBDnNk96fB0F2Lb8UyvA7jJ6+YjItTX7eeHkvIstKNeYXOrjm46fIIF2SMiTtgbrX6z0HuB1YCDiA3cD9wE99Pp9+zLbFwB3AxUA58B7wY5/P91BaBy1Jo1TUNNjYeZCDoXZ0YVJu9xDSI4QZ2SkNyVJkdTGvoIazSqahDNDsyaJqzCmoAeD+/WuzNkg/J8/fJ0jPBAGYWFGJZkWwbmJDVyuTcqwPXDuH6poCXnxuB+0tPUOuSZ5KTqeVcy7yUlAkeyBIUqakNVD3er3XEQvKu4HHgC7gPOAHwGKv1/t+n88nerd1Ay8A84CHgf3AFcA/vF5vmc/n+006xy5Jo0nY1Hm6cTP7Aq10RIN9GuvYVQs5k6eRQROcxdwwbgnqELuxBo0otVla2UVFcLqnJ6NBOsRm0jWS3wEzUabiQVeT19r+1NMnsHDZeHZtb2Htq/vo8YcJh3SaGvwEA+n9f3vybFzw/pM4bfmEtJ5XkqS+0haoe71eJ/BrYsH5PJ/Pt6f3cSvwJHAp8AHg8d5dPg/MB27x+Xx39277XWA18COv1/uwz+drStf4JWm0CBgR/rR/NQ3hrn6fD5ujI/94OBTgvLIZQw7SAd5o20WPGUndoIZhgStIoSbvohxNACHL9Fi9wiRSFIUp3jKmeMuOnEsItm1u5OlHNtPWGjycHqPryb9itlgUFp85kfMumY7TNfy0HkmShiedM+pnAUXAzw4F6QA+ny/q9XrvBC7o/XMoUP8M0Ajcc9S23V6v9/vAg8CHgF+maeySNCqYQnD/gbUDBunS0Ajg301b+dSEZUPeZ1fPiUtiZtJiTwC7TFHuQ6AR0rxpOZeiKMw4uYIZJ/dtFLRx3UEe//smAv7BZ9udTgtnvG8qBYUOXl+5h67OEOGQjjAFmkWlamwBV14/h7Ixean6b0iSlIB0Bup7ga8Br/TzXLj3qwfA6/VOBqqBR30+37HTOCt7v56BDNQlKam2dTfQGI6vi6QCWZpVnVmtET+1wQ6qnYVD2t7I4nwim/wOH0fBxGFsI6TOztgY5p5aQ3d3mBef8eHvHvhujMtt5dSl4znnotiFxcKl4wkGogQDEaw2C26PTZZSlKQslbZA3efzbQW2DvD0B3q/bun9Orn3665+jtPg9XpDwLTkjlCSpNfadhEV8aU4OFUbpXY3HdEg3XpIhnS9AmaUlS3buW7sqUPaXs2K5ZH9y95LiMxREFiNOkLWI4G6pjfijr6OKgIACMVJj3UpuqVioMMM2+krJjN2fCEv/XsH9bVdtLcGDj+Xl2+npNzNigumMWN23zE4XVacLmvKxiVJUnJkvDyj1+udQSwfPQz8pffhkt6vA62s6gIKknH+sjJ5my+V5OubOsl+bSOGTvee8OAbHiNgRlhSeTLzy8axq7OZP2x7TQZ2vboJY8+38OCuN9ne0YQhTDRVpcjm4pLxJzO7pOZwHvvEjlIONGTHYlIFwVxnkHPyevBoJgUyP71fdrMWe0EUjG5o/heIMH3uL4keCiNPQdQOpReguCYPeKzhKCvLY+HiCXS0BXjn7Vq6OsN48mzMnFMpU1mSSH6epY58bQc27EDd6/XuBcYPstndPp/vln72rQGeBVzAF30+34Hepw5d5g8UNYR795EkKUl69AhGgjXhWkM91PV0sLu7BUUmwxzWGOji9nVP9Kmagxl7re95bxV5VgefmbmciXmlXDhuFu+01dIRyWyd+kpLhJvK2inSDBwyL30QOjQ8eHyA3ocAEYLmJxDF56LkpS5VprDYxfJzpqbs+JIkpV8yZtT/CZQNss26Yx/wer1TiJVfnAD8n8/n+8VRTx/6pBpoybkd6IlvmP1rbo4vH1camkNXx/L1Tb5UvbY9ehiR4FT46427ebV+J2EhK8IcTT/BCyqArmiIn216kY+NXcR4VzFl1ryMBuoVlii3lLdRYpH3RIZMhIa6IaLtBdp6CjC14qQPQ77npo58bVNnNL22id41GHag7vP5vhDvPl6vdyHwDLEA/x5iFV6O1t77daD0lnxiFWEkSUoSp2bDpmok0ssoYGRnWcFcEBUGfz24ltumnMcHq+bzx/2v0xDngt7kENxY2i6D9BRSEORFXqLTeWWmhyJJUo5I+41Nr9d7LrHKLWXAnT6f79OHmhwdZXvv14n97F9JrKOpL6UDlaRRRlUUprgHuzkmpULQ1FnXvheHZuUT45YyyVWCS03vQj8VgUOVQXqqaaINi16LTd+BTd+JxWgCIVPFJEnqX1oDda/Xuwh4glh++a0+n+/r/W3n8/n2E+tEuszr9R47xjN7v65O1TglabQ6s3Qq+RZHpocxKr3RvhsAp2blhnFL+OT4Zcz0VPbm/KeeAnQZWlrONZopCPIj/yY/8hL5kRfJDz9DYegRnJENIFPHJEk6RtoCda/X6wEe4sjC0V8NsssDQA1weBGq1+vNA75OLIf9gRQNVZJGrTyLgzNKpuJM82yuBH49gnFUTnuZ3cO1NQv4jvcizi87Cadq6TdktyTtbVwhIrK3RORIoQDqUfllKhEsoh2X/iYF4adQRPyVlyRJGrnSWZ7xJmAc0AYUer3eb/ezzTafz/eP3r//GLga+JXX6z2DWE31K4BJwGd9Pl9z6ocsSaPPaUUTUIBXWnfQqfdjuePqAAAgAElEQVS/UE7WdUkFQdQ00LS+gbeqKCwrmcyyksm0RXp4unEz+wJthxfu6kkqhmlVBC5VflczRUFgNZvJDz9Dp/0yUOTdDUmS0huoL+/9Wgx8a4BtngT+AeDz+bq8Xu/pwJ3AJcD5wDbg2qOCeUmSUuDUognMyq/i9dbdvOevJ2wagEBTVCrs+dSGOunUM1tGcCSyqSd+S36tbRd7Aq1xN6UaCrdqUmMdvBW9lFoWsxW7vo2wdWamhyJJUhZIZ2fS9yewTyPwiRQMR5KkQbg0G+eWT+fc8umYQmAKE4sam+X75e6XMjy6kcdE0BjuotLRf7Gr2mAHm7vrUhKkA5RZdGQX+cxTMHHq78lAXZIkIANVXyRJyj2qohwO0gEcMoc96QTwwMF17A20Hv+cEDzRsImAkboZ77qolXZdfiRkA0X0oJnZ0aVWkqTMku/KkiTF7bTCCVgU+faRbF16iMfqNtCjH1lQaArB3w6+SX24K7XnNjV2hW3oMk0941QiqCIpPf0kScpx8pNWkqS4zS6opsDizPQwRqR2PcirbTsP//vR+g1s72lKy7nvay1id9guy3pnmECBNJXllCQpu8lAXZKkuGmKyqUVJ5On2TM9lBHJ52/CFIK6YAc7/E2YaaqxY6DwaEchiowRh0UQC7YP/YmfDUNJrN24JEkjSzqrvkiSNIJMdpdxeeVcnmx8h85oMCmhpCz7GBPQI7RE/LzUup2gmb5KLPmaxocKZeXb4RCAgQtDLSZgWYgnugqraInrGIaSh6mOjEA9HNZZ/coeNm+oxzBMVFWlojKPcy72UlTiyvTwJCnryUBdkqSETfWU81nnmaxp38M73bUEjSgCgSLAb0Tingl2qlYCaQxMs5UuDAJGhMZQavPSj/XBwiATHPL1Hw4FsBDAYgawRJoR2BCo/7+9O4+T66rvvP85996q6n2TurVZthZbx3iXMfJuy44N2BgwcWAwE/OQIWTBkARIMhACATJxgIdnMiGQkIQAE4Y8BgKBGEgYZwBjsLHBG7axj23ZklfJkqXe1N213Hvnj1stt6Reqqpr7f6+Xy+/yqp7quro6nT17577O7+DKbHefYTPZOqU2nayDqIo5qav3M+D9+1meP8kUfTid8GuHft56P7drFrbw6/+xsvo7Eo3sKcizU2BuogsSsYPuHjlCVy88gTyUUg+Dsl4Af/zqZ/w+CwVTObTm2pnIqtA0TceMVCIq7OZUamOSWsBYzX5ZIEsEUnFpIWSYGIMBW8NOf/4mvetluI45ot/eycPP7CHfG72MTw6kmV0ZC+f/vitvP0PLqCrW2l0IrNRjrqIVE3K8+nw0/jG45IVW+jwSy/j2B1kWNfWV8PetY52P81AAxbrTkaFun/mcuAREhMcCthnExGQ99YxmnkFrb5I4N+/+RAP3T93kD7T88+N8blP/aQOvRJpTQrURaQmNnauZFvfBtoW2G0ToNNPc9nKE1mZ7qpDz2ovZXzWZvo4vWcd6zPlX3xs7BigK9V2WO36WjNAf1CbzZQEDAUKrCBvVhHSQUSKiDQhHeS9VYylL2U0cyWY1r7R/dD9u7nlu49RyJd+N2jv7nF2Pb6/hr0SaV2t/Y0gIk3tssETafNS3DG8k5H85FE56wEePak2Ll95Iqf2rmN/7iA/2r+D8TA7xzs2vwCP16w6la196wHYOfEC//T0T0vOve8J2rhk5RZ847E208uB/EQtu3tIYDy6/BTQuue+mRkgxfPkzAbGMpfhxcm/a+h1EpvOhvatWm77weN8+2u/oFAoL2VrciLPzTc5fv13z61Rz0RalwJ1EampC1ZsZlv/cfx0eBc/H32WQpTM2qa9gJf1HcvpvcfgFzdPGkh30p/qaOlAPe0HnNa77tCfN3Ss4Jz+jdx+4IkFK7h0+WleOXgSfamkGsalg5YdE3uZqkNKypm9xxIzhgL12jFAKnqaTOFhJtNnNbo7VeUe3MP//teHyU5VNlb3v6D1ESKzUaAuIjWX9gLOH9jM+QObF2x76cotfPmZu5iKWzNfOmP8Qxce0y4dtLT7aW4/8DjDs9xZSBmfnqCNK4ZO4sTu1YeeX5Xp5rj2AVyNNzwKjMcrh04ilx/DD+/XVjs15FEgE+5gMj4TltDuvt/95sOMj+Uqfn0YqjCryGwUqItIUzm+c5B8naudVFM2DtmbHWcwc3i+/bkDGzmr71juGXmKe0aeJh8ndxYyXsA5/Rs4uXst3iyLCK8cOhn3RO0CdQO87djzSXk+WX8T7eH9NfssSfjxKKlwJ/lgU6O7UhXP7x5j/77FzYj7ni4PRWajQF1EmsoXnvoJYYk1p5tRNswzUpg8KlCHpCrOtv4NbOvfUNJ7TYZ57ht9pso9PFxf0MG6tl46creTLuys6WdJwhDRmf8pw0skUP/JLTsXNZsO0DdQ/ypHIq1AgbqINI2xQpYdE+Xt4tiMTBWSRx4cfY7vPP8go4XJKvRobmOFKfLj36Hdf7bkTXlk8fx4hEz+AbLTmxvFMRC3TDpMHMccHM9xcDyLe2DPot6rrT3FZVedWKWeiSwtCtRFpGl887n7Gt2FRWvzU/SlFjc7+Iux57hpz88ZDxc3S1mKAhH3HxxjTY+C9HoyxLQXHoA4oC38BR5TEMfExhCZbiaDM8j7xzS0pnocxzzx6AvcfstODo7nSKU9Np2wgnwu5K6fPM3wgQkK+Si5xliElUMdbDx+oDqdFlliFKiLSNPYMbG30V1YtL5UOyvSlZfby0UF/u35X9QlSJ82Gio/uBH8eITOwi2Hb2gSA/EYQW4fodfLaOYKYlP/tJCf/ngXt9y8g+H9E0xNvriw+8F7d1f1czzP8P/81tmYFt/kSaRWFKiLSNOIFjs112C+MWzr27Co9/jZ8JOM5Gub7nKkdk+z6Y1giv/NxiOHF+2ld+omRtpeS2wydevXt/75QW77wePksrXfAKujM02Qrt/GXiKtpjWS4UREWsCxbQNs7V2/qPe4Z+Spo8o31lKHCTm1bapunyflCeIDdGW/V9sPiWOm81duuflRbvnfj9YlSAfwfIOnii8ic9KMuog0Dd94hHFrbmO/KtPNdeu3zVpisRz12NxophVByLGZ1qxZv1wE0QuYeLKqKTAmnqAjfw+p8GkMyc9cIfT50XdTxHH95vBSaZ/2jlTdPk+k1ShQF5GmcVrPWn428lSju1GRXFjgs7tuIyLGw9CXaufSlZbVbT0lv0ccx4zn6ze7nSbm4i7tCNnsPA7Snr+XifS5i3+zOKYjfyeZwqP4HP5v/+iOFFPZvsV/RhmO2zSgGXWReShQF5GmceXQKdw98nTZqR8eNLyw4IHCJAdmlFJ8NjvCjol9rEx38Z/XvYyeVNuC7/GVZ+8mX6e/SQqP0ztjzu+qbz68lM8AQVSdsqWd+dvIFBwe+aOOfe/H7UxO1W82vasnw8tfrbKMIvNRjrqINI20n+zSWSoDvHHtS7l+48V0+/VbbFeqbFTgmalh/uLx7/HY+Py7i962/3EeHHu2Kp+7OtVNj5+Zc6FiX9DOy/qP43WrX0bcInW7ZfHrFoLCs2QKj84apAN0d4Vccv4EL99+kDNPnSKVqt1aiVTa46Vnr2flUOUVkkSWA82oi0hTuXLVKWSjAnePPDVvaOIBrxo6hVN61gLwlmPP4bO7bmMymj0IaaR8HPKFp+9g+8DxXDb0kqOOR3HMHQd2VmUuvcvP8Nq1p7Mu08tD47u57cATTEV54jgmMD5buoY4f2AT7V6Kzux3tclRi4ir8Ou6o3A3Htk5j7/+1QdpK17v5vOwf9jnsScCvnpTN8Oj1avMEqQM51y0katef3LV3lNkqVKgLiJN53VrzmBr73q+/ty9DOcnD0uF8TGszvTwK2vPZDDTdej5VZkeBtKdPDM13Igul+QH+x/jtgNPcM3qMzi5d+2h5x8d31OVkoxdfpor+z1O5WZMtsAFKTh/KCDnH8tk6vTDFiN2Zm8lHe2qwh6qUmsRHlPBSYt6DxNP4kcH5m3TNuOmVCoFqwZDVg2GnLApz6c+18eTz1Rn0ec1151BJpPinjufpre/nY3Hr1CeusgcTNzidYsXIQbYu3es0f1YkgYHuwGd31pYbud2Kszz2MReJsM83X6G4zsHCbzZZ/deyI7z+ad+wnChufOuDXB23wauWn0qAP/09E/5xXjlG8mkjM9gCl7bM8LpHaNHHY+BiAxT/ilMZs7CL7xAX+5rmDqWgZTKFehmuP3aeXcpnfd7ISrQk/0WqXhPxRdmz+/z+OhfDbB/ePEz65k2n+xUUmkmnfbpHWjnxFNWcflVlo7O9KLfv9qW23duPS2nczs42F3Rj59m1EWkqbX5KU7pXrtwQ2BFpovrjtnG/3rmpxzIT9S4Z5WLgTuGd9IVZNi+cgvZRZRk9DBcM5Dios4n8Zj9fQzgk6UjvJtg4lkChhcdpM98teZCaycGJlOnzRukz8dE4/RPfRlDYVH/TkMrI6593Rif/vziq8JMB+kAuVzI3t3j7N09zkP37+Gt7zyHwVVd87xaZHnRKiIRWRLCOOLe4af5+u57yYeFpv9yi4E7D+wiFxXwF7Ggsy9IcW7H03MG6TMZYtI8h0dldxwiICIg5sVdNRWk104M5Lz1ZFOnVPYGUY7+qa/gLTJIn7b1lCyf+OBe/vyP9vGu3zhAb3d16+/v2zPO5/7qJ4yPzZ1HL7LcNPvvMhGRBU2GeT6768d8Y899PDM1wniUa4klkqPhFHce2MWWriG8CkOpzZksGZMruf1igmuDt+iZWSlNDISmn7HMFRW/R1f2e5g5KrxUIghg5YqINatCTj85x4b11d8oa++ecW766gNVf1+RVqVAXURaWj4K+cJTP+GpqWEKcSuE54e7f+wZXtp7LH2p8nedbPcCruqtZ25npCC9DmKgYFYx3HZNxSkvxCHp+Oma/nul07VZ47DzsRfI51tzh2KRalOgLiIt7ZYXHuXZJq70spB8FJHyfDZ1rCxrVt0Ar165hqGgfjuLKkivn4I3CKbyhZvpwmMYahvsbjqugGeqH6wf2D/J/XdXZ08BkVanQF1EWlYcxzw49lxL1y6ZnjC9avWpHNPeV1Iw7GG4augUzurprlvlllY+x63GAKnoKVjEHaJUVHmFl1JtP2+Sgf7qXwxEYcze3eNVf1+RVqRAXURa1hMTL1Sl/ngjZbyk+FZgPH5t/bnYrlV0zbHLqgF6gzau33ARZw9sJDLtRFRvI5r5aDa9vkycxY+PLrVZutqngbW3xWw8tvp56gBGddVFAJVnFJEW9nxujFzcurmsPoaz+zYc+nPK8/nVY7axP3eQ7+97hGenRgjjCM94dAVpLlpxAps7VmKK0/AFbxWx6YRFBXTSjAwRJq58IWhoeg9V56mlt/ynUZ7ZHfDs7uqFE6mUx9p1PVV7P5FWpkBdRFpW1OIbtvWm2jml5+ga8QPpTq5Zu/XwJ+OIdLiDdO7nmDhPbNqZCk4kZ9bQrkB9CfKITeW/orOpE+ko3FPVqi+z6eyI+a/XH+C//20fz+7xyecXf6O+b6Cdl5y+ugq9E2l9CtRFpGWtSHcSGK8lq710+GmuHDp54RrqcURH/g7S4S68eBxvxgLBdPgEkWknJIOPak8vJZHJEJreil8fm3YKZpB0XPtFmb09ER98935+dl+aG7/Rw4ERj8XM5Z/wkiF8X5m5IqAcdRFpYcd3DtIblF/WsNG6/QyvHjqFE7sXmDWMQ3qy36a98ABBPHJYkA7gkSWIhzFEWuy5xOT9Y2ARG2EBjKcvICJdpR7Nz/dh29Yc1//aAVKpyt9nxWAnV15zUvU6JtLiFKiLSMvyjcfmzpWN7sZRDLAm3UNgPDwMhiQfvTdoZ1vfcfz2hgs5tXfdgu/Tlfseqeg5zAILA70apzdIfUX4TKS2LtxwDn64l+7sv9OTu5mYVN0u4oyBzRtCPvjufRXVWPd9wzveexFtbYuI9EWWGKW+iEhLu2zwRO4aeZKwifLVY6A71cbbN17Egfwk2ShPyvPpT3UsnOpS5EVjpMLdJZdfVI2MpSMmRSXzaHE4Rc/UNwmiYTymqt+xEhgDx6yJ+M3r9vNX/7CirNe9/Q8v4P67nuHfvvEQuVwBYwwrhzr5L+84h4GVnTXstUjzUqAuIi2tw0/TH3SwL1+/jX9KMV2xZSDdUdHr2/N34TNR5V5JK/CYoj1/HxPpc0p+TRxlYc+NpKN9NexZaYyBM04ucN2vjPL173RxcGLhi47Va7v51Edv5fDr7Zjdz4xxw/tuJpX2eM8HL2Xlqq6a9VukGSn1RURaXsqrTy3xckyEWX4++kzFr09Fe6vYG2klBkiFz5X3on3fhnzjg/Rpvg+XXjDJB961n7Wr50/N8jx47pkx5rspls9FfPSP/4Ondu6vck9FmpsCdRFpeasy3Y3uwlEikln1yrVufXiphtJTuUw8Abnna9iXyhgDq4dCfu9tIwz0zT2eozKKNn3yhh+Sz+tnQ5YPBeoi0vI2dVS+oLTNC+jyM5zbt5HfOXk7pw2s49j2fta392M7h1iXqbxEXrioZXz6el7eSv/378jfA+F4DfuyOEMrQ978hurU+o9j+Oo/3lOV9xJpBcpRF5GWt2uystvh/al23rP5skN/Hhzo5uSBtezdO3bouWcmh/nMrlsrCrlXpCpfABeZTDmTqrKExEDeHyq5vR+9ULvOVMkxawp0dkSH5aunMj75bPmz4/fc8TRveutZ1eyeSNPSlI2ItLypsFDR66IYwgU2S1rX3sfKdPkL2HqDds7sW19RvwAmg9OINJeyLEV0MllGeUbTAht+DfRFbD8vWRzt+7BisAPfq6xWURzD1JRKksryoEBdRFpeu19Z3WXPmJLKJb5+zVZSZX5drsp00+FXvtlM3t9AZEq/QNDk+9IQAwV/iNiUvpFXvMiNkerB82DLpjybN+T4ldcP8fsf/qVFvd++Pc2b6iNSTc3/0y0isoDTetaR8cqffe4O2kpqt7a9j+O7hkquVd4XtPOqoZPL7s9hjGEsfSmhKS19JiYgVjX1lhYDBW+QsfSlZb0u62+mFX6dn35yjj9+1wHOv2iQVMon8Cvvc09vaT+7Iq2u+X+yRUQWsLFjBb1B6TOQACnjc8HAppLbv3HdSzm+Y5BggdnLvqCd1687kxWZxdd7Dv1BRtOvoGB6iZi9BGVEmry3igNt15L1NxJR3nmQ5hDSSc7fwEjmNWDKu+jMBhaCnhr1rLoM0Jm/Az/cy6YTK18E3tWTqV6nRJqYEiBFpOUZY9jWfxw3P/8w2bi0fPWBVAcndq0u+TN843Hd+rO548AT3DXyFMP5Caai5LM8DL2pdta39fHyoZfQl6psk6PZhP4gw22vJxPuoC3/QHHHyZgYj8j0MpHaSsFbDcYwnrkcLxqhI38X6XAnHsrjbQVZbz3jme3EpsJxYwLo2AJjd0MJ4z+msTvZ+hykO/d93viW1/Hznz1b9uv7BtrxPM0zyvKgQF1EloRz+jfy3NQID4w+Szaev5LEQKqD69ZvwzPlhSueMZw7sIlzBzbx9OQBnp0aIR+F9Kba2dI1RLqC9JuSGJ9ssIVssCX5cxwnRapnEXm9jKcvpn/qOYgVqDe7iIDJ1JmVB+nT+i6EwgjRxA485g7WYwymCVY0ePEYnf5z9PZnGDmQLeu1/+Wdpe/YKtLqdEkqIkvG1atP57yBzQykOvBnmTPs8tMc197Prx973qJnvY9p72db/wbOX7GZU3rW1i5In80CFxhBtAcvPlinzshiRKaLgld6Kca5GGNg5VVMBqfPmioV4xGaHkLTHJuDeRRoL9zHH37kcspZC3vSaatYe0zlexuItBrNqIvIkmGM4ZcGLRevOJ67R57ivtFnCOMIg2Eg3cElK7dUVGqx1XjRRFPMmsr8YiDnH0dZkeo8jDFMps9iMj6TdPg4mcKjGArE+OT8DWQDS1fuVoKwOpsPLZYXTZDpCPiTT1zBn/7hdwkL85eZPOWM1bzles2my/KiQF1ElpzA89nWv4Ft/Rsa3ZWG8OORhuchy8JC01tWvfSSGY9ccDy54PijDuX8daTDx/Aof6OhajNMAtDVneFjf/Mafvz9x7npqw9QyB8esK9a081bf+ccBlZWvoGYSKtSoC4issTEpBSkN9hCF0oF08to+gpiU9/qJTl/M5G5Cy8eqevnzsYckUt//iWbOP+SpBJTGEZ4nklSekSWsYYG6tbaLuB+wDjnNsxyfAD4CHAVMAQ8BHzcOfflevZTRKSVRItdmCiLEuORM6vwmcCLxw/NXieVerrIe6s4mD63rE2NqsZ45P31+IUxDI3e0XTuEMRfRI11kaWk0TPqfw5sAHYdecBa2wncDGwFvgI8CVwD3GitHXTOfaqO/RQRaRmh16vUlwYKTRdjba8CIB3uwo/2AxGh10/O31h2nfRqO5g6Bz/aRyraU5W1DJWONV1QiiysYZes1trzgevnafK7wJnAO51zb3TO/SFwBvAg8DFr7eKXyYuILEGR14HC9MaIaGMitQ2MD8YnF2xKFnimt5ELTmh4kA6A8RnNvIqct56Qynb4jAjIeuuZ8jeT846p7D0UqIssqCGBurW2DfgH4MfAXMvP3w7sAT4z/YRzbgz4M6ADeFONuyki0pLiOE1MqtHdWHZCOjiYPptcsLnRXVmYCRhru4LRttcw5W0iKiMciPHIBicy1nYl45nLOJjeTkh5Cz0j0kwEZ5bba5Flp1Ez6h8mSXl5Gxx9381auxlYB9zqnDtyafr3i48X17KDIiItJy7QnruLvqmvY8g1ujfLQgwUTDdT/gmMtL2WbHBio7tUltDrZ7ztcobbrqVgehZsH+OR99ZwMHXuoecir5PQ6y/rcyPTRcFfU3Z/RZabugfq1tqXAu8B/ptz7uE5mk1PR+w48oBzbjcwBWypTQ9FRFqPiafonfomHYW7CBhW4ksdRKSYCM5guO0NjGcuJfIWDnSbVeR1MZp5DXlviJCjK9HEQEgnWX8zo5krj6r9Ppa5lILpK+mzQtPFWPqyBTfuEpE6Lya11qaAzwG/AD42T9MVxcfhOY6PAlXZmmxwsDl2aVuqdH5rR+e2dlrt3MZxAXZ/A+J9je7K8uG143VvpavvPJppC63Fjd1u4M3E2T0wcjsUxoAIjIfJrMfv3UbgdzB7rZpu4vBaeP5rkB+GeLY7OgEE3fgrX8NAZnAR/WyMVvteaCU6t3NbdKBurd0JHLdAs087594BvA84BTjXOZefp/10cmV2juNZkjx1EZFlLQ4PwvPfhNyeRndlefA6IdUHvedg2jc2ujc1YTKrYOjq8l/ndxKvvg6mdsLInVAYBSLAgN8B3WdCp8UYv9pdFlmyqjGj/i/AQpfGd1prTwbeD/ylc+7OBdpPFh/TcxzPAAdL7+Lc9u4dq8bbyBGmr451fqtP57Z2WurcxgW6c/+HIHwen4lG92bJikhxMNiGHx0gFe3GRHnIHSTadxtZfx/Z4ISkwkuDNdfYXQn+leADcfRimswkMNl6Y7W5zu3SspzObaV3DRYdqDvn3rVQG2utD9wGPAt8oIS3PVB8nCu9pYekIoyIyPITF+jN/itBtFe56DWXp6PwM7ziDV4DScJ2PEwqeo6Owl1M+ZbJ1EuVcz0bo42LRBajXjnq64Ftxf8ft9YeebzXWhsDtzjntgOPFJ8/6r6itXYN0Aa42nRVRKS5dee+pyC9TgwcCtJnO+bH47QX7sWPRxlPX6JgXUSqql6B+jBJScbZvJekisv/AHYCOOeetNY+CVxgrfWcczP3Od5efLy9Nl0VEWleJp4kCJ9XkF4npZxnj5B0+Djt+X4m01tr3icRWT7qEqg754aBD812zFr7e8Cwc+7I418kyWl/B/DJYtvu4nOTxeMiIstKe/5evOos0ZEq8gjJhI8wGZ+hWXURqZom2Mt4Th8H3gD8pbX2YpKa6tcAm4B3Ouf2NrJzIiKNkAp3aza9SXnxGKlwJ/lgaVaDEZH6a9pVHs65UeBCkrrrFwLXk6TQXOuc+1Qj+yYi0jhHbeYsTcIjpC18ZOGGIiIlaviMunNuzq3MnHN7gLfWsTsiIs0trn2gHlNabrYczcTzbREiIlKepp1RFxGRoxkmaz6nriC9cjGNr6kuIkuHAnURkRYRhHvwyCmQblIxkPM3NLobIrKEKFAXEWkR7fm78FBqRbOKTBfZYEujuyEiS4gCdRGRVhBHBPFwo3shc0hm048Do9QXEakeBeoiIi3AkIM4Wrih1F0MFMwQB1PnNborIrLENLzqi4iIlELzKo2wUAWcGEPOW8dY5pVg9G8kItWlQF1EpAXEpIhNoDLqdRbRQd5bRRDtxmeK6dA9xiM0/YxlLiXy+hvdTRFZohSoi4i0AmPIe2sJwpFG92RZMeTABIy0XY1HHhPniU2G0PSBUf0dEakt3acTEWkRk6kzCelodDeWFY8CbeGj9Ga/TRx7FPzVhF6/gnQRqQsF6iIiLSLyupgKXkJEutFdWXaCeJSe3Hcx8WSjuyIiy4gCdRGRFjKZPovJ4FRC2hvdlWUniEfoyP+s0d0QkWVEgbqISIuZTJ/FSNtryZmhRndl2UmFz0AcNrobIrJMKFAXEWlBkddLLtjc6G4sO148Tip6rtHdEJFlQoG6iEiLikyHqjXWmUeIF401uhsiskwoUBcRaVF5fz2xFpbWXYzf6C6IyDKhQF1EpEUlQbrm1OspIkPor2h0N0RkmVCgLiLSovx4WGF6nUWmi9BToC4i9aFAXUSkRXnxOB6qQFIvMR5TwYmN7oaILCMK1EVEWpZ2x6yXGEPeW8NUcFKjuyIiy4gCdRGRFhWaHmIyje7GkheRJu8dw2jmCjD6tSki9RM0ugMiIlKZyOshNF142tZ+0WJMsZqLAXxiDBif0PQyEZxJwV8DRncwRKS+FKiLiLSwqdQp+LkfKld9EdpDRe4AABI2SURBVEI6GE2/kjAYhDjEi6eAiMi0gUk1unsisozpHp6ISAvL+sdT8Far+kuFQjoZS1+aBOkAxifyOom8bgXpItJwCtRFRFqZ8RjNvJK8dwyRbpKWJcJjJHMVhWBdo7siIjIrBeoiIq3OBIxmrmQsfSl5bzUhnUR4mmVfgCGiK38rxFGjuyIiMitNv4iILAXGkA82MhJsxMQT+OEY3bnv4TPa6J41LQOkot1kCg+TTansoog0H82oi4gsMbHpoBCsYjRzeVK9pIXV+q6AIaKt8FCNP0VEpDIK1EVElqi20GGWQAJMjkGiOerFRwQUTA85s46IdEV/Wz8ewY8OLK6TIiI1oNQXEZGlKI5IhU81uheLVjADjLb/MkH4PO35u/DjEQwRMR6xaWciOI28vwGMoW/iKwTkyv4MQx4/GiH0+qv/FxARWQQF6iIiS5AfHyjWA29dMSbZDRQo+EOM+Vcs8IrFLArVglIRaT5KfRERWYJMnIcW3gQpBkbTlxB7XWW8xq/w0wyRKf1zRETqRYG6iMgSFJuAVv6KL7CCfHBCWa+JvfaKPivGp+ANVvRaEZFaat1vcRERmVNo+ohNW6O7UZGIFJPpM8p+3WRwOlGZv9Zikt1dMa1dHUdEliYF6iIiS5EJyHurq/Z29aodExGQ848j528u+7V5/xgiust8lc/B9Hllf5aISD0oUBcRWaImUmcR0rno90lmqas34zxX0B/SQdY/gfH0pZXNcBvDePoiQkpLgYkxjKRfDiZV/meJiNSBAnURkSUq8ro5mN5GVGLgOut7kGI8tZ24ir8uDBDjEZpuQtNNwfQx6b+EkbbXcTBz0aLSUArBWsbT2+e9QIlJ/l4jqVdQCI6t+LNERGpN5RlFRJawXLCFMdJ05n+CF4/jlVgJJglmOxjJXE3s+cT5NuBg1foVYzjQdm1NcsPzwbEM+9fQkb+HVGEXhikMIeARkybrH89k+oyWzeEXkeVDgbqIyBKXDzYw7B9LOnyCtsIDeHEeiDDFOuuGLB5RMSXFI6Kdg6mXkQu2HAqkQ68XP6peoJ7smFoAapN2Epv2JPc8dQ5ePIYhT0yKyPRo4aiItAwF6iIiy4HxyAWbyQVHLNKMI4JoD158kJgUoddP5PUc9fLJ4AyC3D68Cnb+nFsdsi+NR2R6a/85IiI1oEBdRGQ5Mx4Ff82CzfLBenLhBtLh43gUFv2xEWkwlW5QJCKyPGgxqYiIlGQ8vZ2sfwIRi8vtjoEp31anUyIiS5gCdRERKY0xHMxcxEjba8mZVRXXVo/xmUpvrWrXRESWIgXqIiJSltDrY7T9aib904jKXAwaYziYuoDYZGrUOxGRpUOBuoiIVGQicy4TwVkUTG+JddYDxlMXkk2dWPO+iYgsBVpMKiIiFZtKn8ZUfDKZcAeZ/MN48UF8xnhx/1GPiBR+10nQdx7Z/YtfiCoislwoUBcRkcUxPtlgC9lgy4vPxXGxdrkPxmdwRXfxwFhDuigi0ooUqIuISPUZQ0y60b0QEWlpylEXEREREWlCCtRFRERERJqQAnURERERkSakQF1EREREpAkpUBcRERERaUIK1EVEREREmpACdRERERGRJqRAXURERESkCSlQFxERERFpQgrURURERESakAJ1EREREZEmZOI4bnQfRERERETkCJpRFxERERFpQgrURURERESakAJ1EREREZEmpEBdRERERKQJKVAXEREREWlCCtRFRERERJqQAnURERERkSakQF1EREREpAkpUBcRERERaUIK1EVEREREmpACdRERERGRJqRAXURERESkCSlQFxERERFpQkGjO1AP1tp3AH8F9Dvnhmc5PgB8BLgKGAIeAj7unPvyLG07gPcB1wLrgCeATwN/7ZyLa/aXaGLW2rcAn1+g2S7n3IYZr/kRcP4cbX/bOfeZ6vRuabDWPk0y3mZzhXPu32e0LXk8C1hrLwP+K/AyoA14HPhH4BPOucIRbTVuK2CtDYB3Am8DNgLPkXxnfNQ5l29k31qFtXY18CHgVcAqYD/wH8AHnXOPz2j368Dfz/E2dzjnzqlxV1uStfa/Ae+f4/CXnXNvnNH2zcC7gC3AAeArJP8O4zXvaAux1pYSE13inPtBsb3G7iyWfKBurb0Q+Pg8xzuBm4GtJD9sTwLXADdaawedc5+a0dYHvgpcCXwH+GfgCuBTJL98fr9Gf41mdy/w4TmOvRw4F7jliOdPARxw4yyv+Vn1utb6rLX9JEH6HcC/z9LksRltSx7PAtbaXyUJyseArwGjJGP2z4FzrbVXH3EBrnFbmU8DvwH8CPhXkoudjwCnA7/SwH61hGKQfiewnuTn+0bAAm8CrrDWnuOce7TY/LTi48eAqSPe6uk6dLdVnQZkgY/OcuyB6f+x1r4PuAH4OckE4KkkQfs51trtzrlcHfraKuaKC4aA3waeBx6e8bzG7ixMHC/dSWBr7RuBfwA6ik8dNaNurf0j4M+AdzjnPl18rhu4nST43uice774/JuAL5HMtP1B8bkUSfB0CXC6c+7+mv/FWoS1diNwH7AHOMM5d7D4/AaSOxF/4Zx7d+N62BqstduB7wO/65z75AJtSx7Py521th14hiQFcKtz7oni8yngmyQX4dc4575efH4DGrdls9aeB/yYZGLjDc652FprgC8AbwZe7Zz7VgO72PSstZ8BfhN4j3Puv894/j8D/wu4yTn3muJzPwBOdc6taERfW5W1diew3zl35jxtjgV2AD8FLp6+G2St/QjwAeCdmgxZmLX2JpI7vq90zn13xvM/QGP3KEsyR91au9Ja+3Xg/ye5YntsnuZvJwkkD92yds6NkQQ7HSQzFtOuBwokV9PTbfPAHwMGeGuV/gpLxeeAbuBt00F60fRV88/r36WWVM75Kmc8L3eXAP3AZ6eDdDj0Mz39M37FjPYat5W5vvj44em7E8XH9wEx8OuN6lgLeR2wF/gfM590zn2JJHB8hbV2+vf5qYAmjMpgre0BjmPhn+3fJMlEuOGIlK0bSO7GaSwvoJgqexXwhZlBepHG7iyWZKBOcnv6apIZm60ks2ZHsdZuJkkpuNU5Fx5x+PvFx4uLbTPANuBe59yBI9reCUxMtxWw1l4NbAe+Mp1/NoMCnvKUdL7KGc8CwE7gj4Cvz3IsW3zsmvGcxm1lLgL2OecemPmkc+5Z4BE0JudVTLm8AfiQcy6apUkWSANpa+0xwAAao+Uq9Wf7ouLjYamczrkpkruWp1tre6vctyWjuMbvz4BxknVBM49p7M5hqeao72BGGoq1dq52m2e0P4xzbre1dopksQgkV9vBHG1Da+1TM9oua8WZnY8CEcndhiOdRjKTdr619rMkuZYHSG6N/4lzbqRefW0RpwEvAG8tzkZsIlmM90WSmZ3poLKc8bzsOed+AfxijsOvKz4+OOM5jdsyFSc4jiFZXzGbnUkzO+ic21u3jrWQ4kX3X852zFp7InAisMM5N2WtnQ44U9bafyFZC9AO3AZ8wDl3Zz363IKmz9tKa+3NwFnFP/8f4P3OOVf882ZgT/Eu5ZF2Fh+3kKTGyNF+D1gL/OksKZgau3NYkjPqzrmnSswVn86DOqoSTNEo0Fti2xGgo1jdYLm7iiSI+caMBU4znUaSKvSnwN0kq7z3Ar8L/Kh4G1I4dNFzMsn4ezfwA5J1FwXgg8C3Z4y5csazzMFa+xKSsZgF/ueMQxq35RsoPs73vQkal2Urfjd8iuT3+N8Vn54Odn6LJMj5PMni018CbrXWvqLe/WwR0+ftD0i+J/+e5OLyGuAOa+0ZxeMr0FiuiLU2TVL5aYpkEe6RNHbn0DJBZXGhx3ELNPu0c+4dZbxtqviYneN4lhcXopbSFpLybkuiRNMizvnvFB8/Mct7eiRfdPcCVznnnpnx/F+T5AB+iCQoXbJKPbckQeGjJDO3r5teDG2tbSOpQHQVSV76JylvPC9Zi/muKN5+/Q7JeXq3c+6p4vMat5Up53tTSlRcjPu3JEHMz3gxd90DdpHMAn9pRvuLSWaHP2+t3VRM1ZAXhSTn7S0zUzVnLNb9HHAmyXjWWK7MG4DVwN/NcfdMY3cOLROoA/8CDC7QptxbI5PFx/QcxzPAwTLaxiS56ktF2efcWrsOuBR40Dl3+5GNizmWR9VCdc5F1trfB64jqVG/1AOeks6tc24PcMaRB4q3uX+HJFC/liRQL2c8L2UVfVdYa48nmcHZAPytc+4vpo9p3FaslDEJy2NcVkXxDtrfA28hqfn/2umSgM65G5hR7GCac+4Wa+2XSKrsXAwcuYhvWXPOXc+Li55nPv8la+1vABfZJId2Eo3lSr25+DhrnXSN3bm1TKDunHtXDd52elHoXLeqekgqaJTSthcYn2OxT0uq8Jy/miQ94J8r+Lxxa+0jwBnW2nbn3OSCL2pR1RjPzrknrLUHSMouQnnjecmq5Nxaa18GfJskwP8MyV2KUj9v2YzbCoyQrFWZ73tzup0soLgYb3ovj0eBy4qLcktxN0mws3GhhnKYu0kWkW4k+Y7VWC5TMS1wO7DTOVfJfhPLeuy2TKBeI48UH4/6x7fWriG5hTW9iGQnkJujrU+yEcVcC9OWk1cVH78220FrbR9wEkkViEdmadJO8otdm0YA1tohknz/ndNpGDOOGZIxOlp8qpzxLEXW2stJZuE7SRbnHrU7ocZtZZxzOWvtLub+BbuR5Jzur2O3WlJx47N/A84G7iGpQf38EW3OBLqccz+c5S3ai4/LLnVgPsU7FFsBzzk326LnmeftEeDiOS7IN5J8B8y2Lmu5u5wkbWi2CluAxu58luRi0lI5554k2bnxghk1aKdtLz7eXmxbIFlcsrW4gcxM20hyWo9K9ViGzgYOzLOY90ySzU9my19fQ1LR5J5ZygsuV1cBPyRZ5HSkl5J8gf0MyhvPkrDWngN8g+Tn9/dmC9KLNG4r9yNgtbX2sIpD1tq1wAloTC6ouCblWyTfr7cA2+fYuOwbwPettStnOXZB8VE76B7OJ/nZ/rfipNshxcmQ80gW799LMpY94MIj2rWRpMY9OEdFmOVuOm1wtiB8msbuHJZ1oF70RZLyYYcWlhUD8feT5KN9cUbbfyTJQ/vwjLYpkgV/MEfu1XJRXIg3yPw/TD8CdgNXFheJTL82TVLBIEWyiFIS3yIZh79mZ9QZLd5KnC7ZNvN8lTOelzVrbRfwZV5cODprCbwijdvK/WPx8YbpC8hiAPTnJGlyfzfXC+WQG0gCxtuBK5xzo3O0+yrJ7/UbiucYAGvt60nudv7wyHr2y12xvO1NJJufvfeIw+8h2YTnn4oL+b9EsvD0Q8XSo9P+iCS1UGN5dluLj/OVrdTYnYOJ47jRfai54ra0FwP901UzZhzrIQksTyC5LbODpCTTJo7YDrh4tf1Dki/M/wDuAl4JnA58wjk326znslEMYH4A/I1zbs4cX2vtVSSpBjHwFZIa4ZcDLwFuBN40vYOhgLX2t4C/Iakm9GWS6gJXAccCH3POvXdG25LH83JnrX038P8B+5m9XBjAw865G4vtNW4rZK29EfhPJIt4v0/yHXohyVqWN+i8zc1au5qkGkaapPrIU3M0/ShJetttJGPyDpILTEsS6OwGLnDOPV7rPrcaa+0Gkoug1SS/2+8juWO5HXgIuNA590Kx7UdJNut5iCTAP5nk/P4Y+KUZ+1pIkbX2CWCVc27OqmPF9EKN3Vks+0C9eHwVyYzFq0nyVB8G/t/pX9BHtO0mmVF/A0lN1R0kQdTfLKWFpJWw1v4ySW76+4sruOdrew7wAZJNDaZzp/8e+Ovlfh5nY629guSXw1kks5D3A590zv3TLG1LHs/LmbX2G8BrF2j2Tefc1TNeo3FbgeKdx/eSVCpZR5Ki9UXg4wps5meTXZ7/pYSm/c654WLA8yfALwNrgH0kC6U/6Jx7rnY9bW3FimUfIVmouwJ4luRC8k9nbmZWnO19e/G/zSRB5NeBD2vTs9lZa0eB3c65eTfc09id3bII1EVEREREWo1y1EVEREREmpACdRERERGRJqRAXURERESkCSlQFxERERFpQgrURURERESakAJ1EREREZEmpEBdRERERKQJKVAXEREREWlCCtRFRERERJqQAnURERERkSakQF1EREREpAkpUBcRERERaUIK1EVEREREmpACdRERERGRJqRAXURERESkCSlQFxERERFpQgrURURERESa0P8FPZV50zoLPLoAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 248,
"width": 373
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(drug_data_normalized_tsne2d[:, 0], drug_data_normalized_tsne2d[:, 1],\n",
" c=kmeans_cluster_assignments, cmap='Spectral')\n",
"# - `c` specifies how the different points should be colored (here, I set it to the\n",
"# cluster assignments so different clusters get different colors)\n",
"plt.axis('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These clusters don't look very good (which shouldn't be surprising--think about when k-means is expected to work well). In particular, the middle four blobs get cut up and assigned to different clusters."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Clustering using a Gaussian mixture model (GMM)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's instead cluster using a GMM. A GMM is going to be in some sense more general than what a k-means \"model\" can capture. The fitting code is almost the same as in k-means."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GaussianMixture(covariance_type='full', init_params='kmeans', max_iter=100,\n",
" means_init=None, n_components=6, n_init=1000,\n",
" precisions_init=None, random_state=0, reg_covar=1e-06,\n",
" tol=0.001, verbose=0, verbose_interval=10, warm_start=False,\n",
" weights_init=None)"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.mixture import GaussianMixture\n",
"\n",
"gmm = GaussianMixture(n_components=6, n_init=1000, random_state=0)\n",
"gmm.fit(drug_data_normalized_tsne2d)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can examine the cluster probabilities (the pi's in the lecture slides) and the cluster centers (the mu's in the lecture slides). Note that these are not ordered in any particular way."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.22765205, 0.12685717, 0.35496044, 0.23369254, 0.01749777,\n",
" 0.03934004])"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gmm.weights_ # cluster probabilities"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-29.87697782, -9.76658205],\n",
" [ 30.10271653, -1.98717884],\n",
" [ 4.35871537, 33.62918151],\n",
" [ 2.02132799, -31.05967561],\n",
" [-49.839568 , 33.62406534],\n",
" [ 28.15392859, -32.44633095]])"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gmm.means_ # cluster centers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Some times it's helpful to quickly check the cluster sizes by printing out the cluster probabilities in decreasing order. For instance, we can quickly see if there are tiny clusters (which would appear with small probabilities)."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([0.35496044, 0.23369254, 0.22765205, 0.12685717, 0.03934004,\n",
" 0.01749777])"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sort(gmm.weights_)[::-1]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Finally, we plot the GMM clusters:"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"(-57.40638885270168, 48.66960296402979, -59.19674732413162, 65.38699390616287)"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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R5UWJuohIt7MBXnwg6SikS1gtgCTSM5Soi4h0OT/ev2j7PukNMS4l79KkwxCRDlGiLiLS5YwtamEiASA2A1Tc9UmHISIdokRdRKTLWVLq87JMxVDz19biUfCvAqM/3SK9Qj/tIiJdLnRHielPOgypg+X0CfjR1x1q72tfPSaNsQWwesIi0gs0I0VEpMtZ00fkDOPGqlNfKo4m35b5E/FGFp1yCBmsfBtLBmt8AvdsCv4GrNGbOJHlSom6iMgSUPCuwK0cwq1xuXnpDq1eBdYhBgpgwQsnSIXbq+UwXN3iK4lIN1CiLiLSQV64Dy/egyEgNsOU3QvBcRc9LvTOohy/gkz4DA6VDkQqS4HLDP3BQ9jpPsyAusGILDdK1EVE2i2OyQaPko02Y6iuKmmolkUMBPcRmlVMpt+MdYYWPoe1BM5afPMS2AkMUctHa2VpcijD+APYvguTDkVEWkyJuohIO8URK0r/gsvMnMS6+v8Y346xsvQlJv2bCfxzTt7JWjLBk2SiZ3Ht1EltGheqf5YeFE3B1EbgkqQjEZEWUtcXEZE2WlH60rxJ+qkMMUPBt3GjQ8c3WstA5fv0hw/j2Yk5vdSVpMtxFmaeSzoIEWkxJeoiIm3iB9twmao5oTbEDJW/fez/fZUHSUcvYtRFXWoRa+6CyHKj0hcRkTYZCO6ve9TbYQYTF7B4szXtIrWyYC0YfdeILBdK1EVE2sFGOBQbOZD+yoNYHECL2kgdjKskXWSZSTxRz+VyHwP+AHhDPp+/+5TX3g/8HnARcAS4DfiTfD4/3ek4RUTq4cQz1L44/HEGcO0RXDup0XSpj5PG2ArWpJKORERaJNEa9Vwudw3wuwu89iHgs1Rj/ASwiWrSflcul9NvIRHpck3UlVuLIWxdKNIbKvtYUfo3Bst34cQazxJZDhJL1GeT7X8E5qz0kcvlzgU+CjwIXJXP5/8on8/fAvwZ8Frg1zoZq4hIvWKnn0b6slggMoM0lehLz3LtFOloG8Plb+BGB5MOR0SalOSI+v9DtaTle/O89utUy3JuzefzwQnbbwUmgQ+0PzwRkSYYj5i+Rg7EsaWWhyO9xbVTDFa+i7GFpEMRkSYkkqjncrnLgA8B/x3YPM8uN8x+vOfEjfl8vkR1lP3yXC433NYgRUSaNJW6ru5x8ZgMHodVny5N8+wkfZVHkg5DRJrQ8cmkuVzOBf4J2EJ1hPx/zrPb+cD+fD4/Nc9r22c/XgQ82mw8o6ODzZ5CTkP3t310b9undff2Vdjdj0B4pMb9HdzUMFT2tej60uuyZj/ZM7IYk3jviCVPv3PbR/d2YUmMqP8nYAPwgXw+v9DqDKuA8QVem5j9qBF1Eel+a/89uCtq2NGB0fdANNPuiKSXhJNQfCnpKESkQR19i53L5S4CPgL8bT6ff/A0u/pAeYHXjm7PtCKmsbH5Bu2lWUffHev+tp7ubfu07d6mfoZMZSN90SYMJ49PWBxCs4ap9BsxUyHDUTh3hr1Iw2Kmxw9QmhlNOpAlS79z26eX7m2jTw06lqjncjlDtcvLAar16adTBBZqwZie/ahhJxFZGoyhlL6CElfgRofw471ASGSGCJyXg1N9uGniyUTDlOUpTn7JFBFpUCd/en8TuA64pYYFi46wcGnL0e0TC7wuItK1IncVkbsKAGNLpKKtOFGR2GQInVEwnjozSstYDJFTS+mViHSjTibqPz378Zu5XG6+1384u3098DxwYy6Xy+bz+VPX4F5PdV3tLe0KVESkndxojP7gUdz4CA7Txzq8RPRhiBKNTZYbSzbczLR7ZtKBiEgDOpmofwa4e57tNwOvoboK6Xaqk0jvB94AXA/cdXTHXC6XAa4FNi/QEUZk2atEIa6T6KLC0oR08Ax9wY9xOXUMAlyqPa8tjSyVJDKXAbx4P9iw+rRmPjbEj/dhbAlrUkRm1eyCXSKStI4l6vl8/jPzbc/lciuoJuqfyefzd89u+yLwYeAjuVzunnw+f3QC6YeBIeDv2x6wSBfZUxznh4e2sL88id1qqcQR5SgkZTz6XJ+063PZ0DquXvEyUo7qUbuVH26nP3gUh9MvaGRQsi6t49pp0mGesn/pSdudeIq+4FG8eD+OncEhwmKIyRI5Kyh4Gwi9sxOKWkQggT7qtcjn8/lcLvcx4IPAxlwudztwKXAL8ADwqSTjE+mUShTyjy/9iL3lSeJ5CpdDW6EQVyCAPaVx7jv0IpcOruXm1ZfgO+od0lWspT94ZNEk/Sgl69Iqhhg/3keZ44m6F+5iMLgH106fsq/FpYAbF/AqhyjHFzKTen2nQxaRWV2ZqM/6ELAT+A3gd4B9wF8Bf3rCCLvIslSJQ75/4Dl+NL6t5nmFFpiOyjw8vp1Nk7u4eGANbzojx0iqkWXspdW8aA+OXWwe/VwxHpY0hgBDRYm7NOTEuQ9udJDByt24izRPcyiTDvPEpCimrm53iCIyD2Ntz7YXsNAbvTuT0Eu9UVsltpanJ3Zz9+EXGA8KVGzzkwqHvAzvOPOVXDK4tgURLn/t/L4dLH2LdFz/wjMWiMwKpv3X15Rcicyn6L3y2Mj4cOlr+PH+mo+NGGA8+16sacnyJUuO/p61Ty/d29HRwYbGWbp5RF2kJwRxxHfHnuO56X0cDgotPfdkWOIb+54i6/is7z+jpeeW+ji2sQeBBvDsOAOVe3CUpEsDYrIUvWrZixNP4NbZr99hmmywiULqNe0IT0ROQ60jRBJUjAL+4aUHePDI1pYn6UdNR2W+eWAzPfz0rCtY01zRintCG0eRekRmkHi2l3o22IQzT8eh0zFAKqr/aZCINE+JukhCYmv53M6H2F2aaPv6NuNBkZeKR9p8FTmd2DQ3V0BJujQiIsuMf82x/7u20RKDsDUBiUhdlKiLJOSZqb3sK3emLq8UB9x3+IWOXEvmV/SvJKI3a3wlGTEpCqnXEHpnteBseqsokgTVqIsk5IHDWwlaMGG0VoWo0rFryVyRs5LYDOLa2tozijQrYoCyd/JK4JGzAuJddZ/LsZOsKH4Ji0fZu4CSdwkYv1WhisgCNKIukoBiVGEirK9OtGkqUU/cdOpGIqMVH6VD5lmJtOhdTkT9ZVgOFs+O49uD9AcPM1L6MungqVZEKSKnoURdJAEzUYWwg6PpAK7Rj3vSIncVU6k3E5HR+yZpOzNPp6HYGSByhps7LxbXTtEfPEa28nhT5xKR09NfbpEEODiYDtd8Xja0rqPXk/mF7hrGM+8jJp10KLLMuUzixHMX2Zr2byQyA02f36FMNtyIG401fS4RmZ8SdZEEDHppUk5np4iclVnR0ev1KieepL98L0OlOxgq3UF/+V6cU/pWW6ePsncxVhP0pI0MlmzlsTnbY3eYydRbCelv+smOQ8hQ+Rt44Z4mzyQi89FkUpEE+I7L6tQAR9rUO/1UBjgj3fwImizMjQ4zEFSTcvekPtW7SUU7iJ1Bpv0biNyVABS8q/GjPXh2TOm6tI0f7wYbgXFP2h65ZxA5q/HibU1fwyVkqPItivGVFFOvbvp8InKcRtRFEjLiN9dXux6e6tPbyov2MlS5Ez/ef0qSXuVSwI/3M1S5Ey/ai7FFhivfwLXjStKlrRyKePHheV8ztK4DkUNIJtxEOsy37JwiohF1kcSENu7YtXzjUYrCjpfb9AInnmGw8gNcO7Povq6dYbD8AywOHvUt4y7SCEOEYaHWrK19m+hSIhs8Qdm9EDQ4INIS+kkSSYjvuIvv1CKe45Dq4PV6STZ4DNfOnbC3EJdpJenSMRYXy/z9zuM2tAp17DR+tKPl5xXpVUrURRIy3qH6dIC045HWaHrr2Qg/1iQ66V6xyRI6I/O+FpnmJ5OeyiEkG25u8VlFepcSdZEEPD25h+2F+etG2+GVg2sxRtXQrebFYzg1lLyIJCV0Vs+/gqi1pKPtbZkjYWzQhrOK9CYl6iIJuO/wCxTjzvwxMxhet/K8jlyr1xjKGMKkwxCZV0QfBf/qeV/zo+04dZRs1UeDAiKtokRdpMMOlKcYD+Z2Bmkf2/HFlXqHj0W1/9J9YjIUUlcTL7AKaSZ8FqdNbzJjJ9uW84r0IiXqIh321OQeZqKFujC0ngUePLK1Y9frJaGzEqsVRqWLxLiEZpjp1HWUvYsX3K9dT4Ji0hS8K9pybpFepNllIh1W6GCSftRTk3u4adVFqlNvMWsyGKKkwxABDPijTJtXUXHPq6E9Ynt+F0RmgMgdbcu5RXqRRtRFOizrzt8qrZ2KUUDFKqFsNWNnUD2udIXUasy691PxLqiph3nojLa840tk+plO3dTis4r0NiXqIh12ycAa+pzOJuvTUZlC2PmR/OUuGzyF08LVHUUaEePBiuvrOqboX07MQEuub4HIDDKVejORe0ZLzikiVUrURTpsXXYFw35fR69pgXsObenoNXuBG48nHYIIYDHZl9d3hMkSOquauCLE+IRmBQXvCsYz7yV01zR8PhGZnxJ1kQS8buTlZDq8ANG2wiEiG3f0mstfq4sHROpniLCFbXUfN51+A6GZfzGkxcRkmUi/m/HMz1BMXY01mlQt0g5K1EUSsGHFubxq8CzSpnOt/SaCIpsntYpmK0Vm/tZ3Ip1kAA5/t+7jrEkzkXkngbOamNrL8SKyzKSuI3JXgiaoi7SVEnWRhLxrzat47crzGPH7cDowITEkZldJpRotYS19lYdJRds0pi7dIZrETmys+zBrqiPjk6mbqTjriHEX/J62GCIzwEzqOiqeFlET6QS1ZxRJiDGGN49ezA2rLuDR8Zd4enIPoY3AwlRUphgFRLS2VCVU6UvzbMxQ+Vv48R5Mi78+Ik2ZehRS59c/ym0MobeOSW8dAF64n2z4OK4dx9gIjMGSouxeQMm/FGtSbQheROajRF0kYSnH4/Urz+P1K4+PUMXW8o19T5KfOcBU2LquIiv9/padq1cNVO5Wki7dKZrBj7YTeOubOk3oncmU97bqf2wEOCpxEUmIEnWRLuQYw7vXXs5kUOTuQ1vYXjjEwcoMcROFFsNelg3DZ7cwyt5j7Ax+pCRdulVENtzcdKJ+kg7OoxGRuZSoi3SxIT/Lu9ZcBsC+0iSf3/UIE2GxoXOtTg/Q76kzQzP6go24zCQdhsiCjA2TDkFEWkiTSUWWiDWZIX7x7KtZkx2q+9hhL8PbVl/ahqh6ix/tSzoEERHpIUrURZaQtZlh/uuVb+fXL76OUbe2evNhL8N7125gdXqwzdH1ApW8SHeLHM1DEVlOVPoissQ4xuGK0XM5hxEiG/O9sed4bHwnxbhyrILdUK1JX5MZ4ubRSzgj3ZqlwkUT6qSbOZSd85MOQkRaSIm6yBLmGoe3rr6Et4y+gq2Fg+wsjhPYiBVellcOrSPr1r6IiSwuNhktRipdLGYo+C42SDHlXUeQujDpgESkSUrURZYBYwzn949yfv9o0qEsa0Xv1XiVgzhUkg5FZF4GMFQYCn9Aye5lJn1D0iGJSBNUoy4iUqPAPZvYqAZYup8BMtGzZCqPJx2KiDRBibqISK2MYSr1ZiKjmn/pfgboCzfOLlokIkuREnURkTpE7komUzcTmhXEaDEY6W6GkEz4bNJhiEiDlKiLiNQpclcxnnkf06kbCcwqrLrBSJcyQCZ8KukwRKRBStRFRBphHCrehUxkf5rQOTPpaEQWZKwmP4ssVUrURUSaVPBeTUwq6TBE5mW0UJfIkqVEXUSkSYH3Msru+WqxLl0qTDoAEWmQEnURkRaYSV2PJZ10GCJzaAaFyNKlRF1EpBWMIXRWJR2FyPysnveILEVK1EVEWqTovZoYP+kwRE5iMWA0ri6yFClRFxFpkerKpVoMqVM0RlwblWSJLF1K1EVEWuXYyqX9SUey7FnA4iUcgyHGm42lO1lgxrsm6TBEpEFK1EVEWuj4yqXDxJrG1zaG6qqbSSbIkRlhwn8HEUMJRnF6Fo9KKpd0GCLSICXqIiItFrlnVFcu9W/EJvhrtptHelvBkFxHk4g0ZecshoK78JjsyrdkFofJ1JuTDkNEmqBEXUSkHYxLxc9Rci9KLITQnEHI6LJO1pNggZARMtFWXApJhzOvGI8p/w2E3suSDkVEmqBEXUSkjQqpawhNMqUR1qSZyL6T0JzRVLIe4xy6+vDGAAAgAElEQVSrxZbqKH6KfbjMJB0KcPJTk5g0ZefljGfeS8W/ILGYRKQ1kp2JIyKyzFmTZTJ1M8OVb+Payc5dF4eyez4Yn8nMOxks34UX78Wpczn5GI+SdykF/0qGi9/A42DNZR6W5bvYTjd9XjEe7vBrIb2aI1NDWJNKOiQRaRGNqIuItFnsjjCeeTdFN0dkhk6qW2/XKHVsBih71bIba1JMZt7BRPoniUnVfM0Yl8A5m4L/GjA+E33vpeBdsWjdvQVCs5IYdb/pBJcQggOY7Hol6SLLjEbURUQ6wJosM+mbmLERqWgHjp0AXGL68KOdpOw+jJ3BIWp6JDrGo+yuB+OetD1yV3M4+4sMVn6AF43hMDPvdSwQM0jZO5+Cfw0Yg7FF+iqP4sd7sNUldObEaTFEZoDQOZPp1A0Ml27Htd1RHrLsRbrPIstRIol6LpdbA3wEuAU4EzgMfA/4k3w+v/WUfd8P/B5wEXAEuG12v+lOxiwi0hLGpeKdd9Kmin8BMzbCj/di4iKZcDMpu7+h01sgoo/CQr2zjc9U+q0YWyAbPIEf7cexMxgqxKSIzRBl78LqaPxsou9GBxmsfBfvlNKdk5N0CBlmIv1ucKoL7JS8V+AFhzB1lttIIzSDQGQ56niiPpukPwKcA3wX+FcgB/w88LZcLndtPp/fMrvvh4BbgSeBTwCvopq0X5vL5W7K5/OVTscvItIWxiVwzwYXfLsfwsYSdQN4TDJS+hyT6XcQuWfMu581fRRSr1v0fE48zVDlLlw7VcN1x1lZ+jyTqbcSumdT9i6iL3yio7X5PcvJJh2BiLRBEiPqH6GapP9BPp//y6Mbc7ncLwBfAP4X8K5cLncu8FHgQeDGfD4fzO73UeCPgV8D/qazoYuItF/JzZEOX8Ch3NDxBnApM1z+OhXnHBxKGBtjjUfJu5iKex6Y2qYo9VfuXzRJP/G6hojhyp1EZpiidzmTqTcyVP5uTR1Sjo4Jd9NEzaUgJoUzpNVHRZajJCaTvgcYAz5+4sZ8Pv9F4EXgrblczgF+neobiVuPJumzbgUmgQ90JlwRkTpZW/3XoMgdJTKDTYfhEJKJt5GK9+Lb/aTi3QxU7mZF6TYylScXPd7YMp49VPd1DeDZCfqDB0hHLzKZfit4K8H48+4f4xOYVUx6byJw1ia6SNRSFJtBSK9NOgwRaYOOjqjncjmXaqId5PP5+YoWy0Bq9t8Ns9vuOXGHfD5fyuVyD1JN6Ifz+fxEO2MWEamJDcgGj5EJn8MQAgaLS+isoZC6hshZWdfpiv4GnMq9uA2Oqi/EIcKxE/SFj+Eyzcxpyl/SYR7HNj4dyCEiE24mMkOw7peh+ALBoYcxtgzEgEvgrKboX0nsDAAQ2PPoCx4lFW3HsZN1t5PsNRFZpv1rGTF6DiGyHHU0Uc/n8xHwv+d7LZfLXQxcDLw4m4yfD+zP5/PzPXPdPvvxIuDRdsQqIlKrTOVx+sPHgPiUso0QN96BX9pJYNYylXnbnE4sC6l45+FGY/RFT7SlFMShQjrMEzqrKHu5efdx4yNNX9shpi/cBFyL6buQiZk1x1+Lp8gGjzNY/h5gscah4p5Hwb+Sgn81meAJ+sNHVQqzgIg+ZlKvJfTOTjoUEWmTrmjPOFvq8jdUS3H+fnbzKmDbAoccHUUfbvbao6PNP16When+to/ubfvUc2/t4bsh/PFp93GISdvdpKM7Yc2/w9RYH27tG2FXHuJizfHUw6HCoN3M0OhVc68dTsD+gy25jmtnoPgi9F3A6OggNirAwTugcgjiE2rXLaTiAwzYzdB3EYxcDns2AT3eN8Dpm/0emG2I6Q5BejXuiusZ9k9+UqPfC+2je9s+urcLSzxRz+VyBvg/wJuAH3O8dt2HBZ/5Ht2eaW90IiILs8U9MPVY7QdU9sCR+2DljTXtboyDTa+rJrntEk5iS3sxmWqNsy29BEfuhcoYELXoIhamNkLfBdhoBvZ9CcLDC+wbQzgBU09AOAUmVufB1GoYugLiUjVpT6/DOFrYSKQXJJqo53I5D/gU8O+BrcBPntBysUi1Vn0+6dmPTa/wMDZWWzcDqc/Rd8e6v62ne9s+9d7bFYU78OrMIqOppzkSboAaa4rd+HKG2dVwB5hF2TLFQxuZSQ1US02CR9vT9zwqYq0l2PNv+PFCSfqJcQXEhRcwc8qJek9YnmB8evT4hukyp45j6fdC++jetk8v3dtGnxoklqjncrk+4MvA24EtwJvz+fyeE3Y5wsKlLUe3ayKpiCTCxCVc6p9o6VDEj14i8F5W0/6RO0rgriMVbWtbwmpsGT94nv7gEUzbhq8NlHfjxrX/2nYI2xRL7bqjZWRzTzaceBIv2oNDhdj0EbhnY40eSIssBUmtTDoCfAt4DbARuDmfzx84ZbfngRtzuVw2n8+fWqC5nmrLgC1tD1ZEZB5+9CI0MPJsAD/aUXOiDjCVehPDpa/h2YNtSRhT0TbS0YttS0YtYNJnwsRDOEus3rw7RvMba1fph9vpC5/AiadwKQDVr0XMAKEzQsG/ZsEFsUSkO3S8WW0ul8sAd1BN0u8BbponSQe4n2p8189z/LXA5gU6woiItJUbHZgtEWlM3WUsxgXctiWNTtvLSwwMX1etPZe6xaYfbIwX7ScVbsePduLEp3+a0195gMHKD/Hj/ceSdDi6GNY06XgnQ+VvkQ7zbY5eRJqRxIj6rcDrqK44+rZ5RsuP+iLwYeAjuVzunnw+f/Qv24eBIY53hxER6Yy4zEjpNhwKTSW2MQP1HWAtTvNTchJhgYhhfK8Pa9UTvV4xLjFpVpRuw7EFDAHVt1YZYmeIgvfqOU9nspUfV3vgE8x/0lkuBfoqDxOTJfDObeNnISKN6vSCR2uA35z977PAB3O5efv3/o98Pp/P5XIfAz4IbMzlcrcDlwK3AA9QnYQqItIZcYWVpS9iCJpK0i2GkndpXccYgqZWOk3aZPotrAKosS2lHGeISMdbT/mei3Ep4MYFBivfpxKtx9p3YozB2AqZaPEk/SiXIv3BI4wrURfpSp0eUb+W451cfuU0+30cKAEfAnYCvwH8DrAP+CvgT08YYRcRabsV5a80naQD1ZFQd6iuY2zynXSbko62A+eCOwDhkbqOjXEApysmliZhse83h4BUtBUOfxdWvYVM8DSOre/pi2On8KL9hO6ZjQcqIm3R6ZVJv0Ydc3Py+bwFPjn7T0QkESaewbWTTSfpFphOXddAAA7WpKHOBGx2eZxEGSAdbcHa62H4NcQH9tc1oTQ2g1Scl5OJnmtfi8o6dMM9PZVDCIUXsEPXzHYHqu/pi0OFbLiJKfctbYpQRBql55AiIosYqNxLs6vuWKDsXkjgndfQ8SUvh60zRYwZoGLOIsZt6JqtYmyxOpE08zIiU3sv4RiH0JyBZw8R42JxEl/7yFD9WiYdxxxxASZ+hGnwyYOxpRYHJCKtoERdRGQRfnyg4VHUalLnUHQvYzr9xoZjKHmvqDPJ9Sh5r2Ay+w7iOo5rB4cSHLwDSi8xlXoLkVm89KeaCLuk4pdIxbvwKHTN4keG7htVB6C8l8Yj68rPSKTnLe3CRxGRjmisW4kFiu4rKaauqpauNMP4TKduYrD8vZPa7c1/XYfAOYuiv2F2S8Ij6gCVfTD2dQbMaiZStzAYfB8nnsTl5JHcap/vDIag5gmRMsuGWNvYQkb1vAkUkc7RiLqIyKIa+1VpcSmkX998kj4rdNcylf4JQjNMvMA4S0Q/JfdCptJvAVMdJS25F3RHqYat4Me7GQjuYSL9k0xm3knZXU9gRgnNKgIzSsG9DIyH0+RqnL2q5F9cd6lTRPaEN3Ui0k00oi4isoiycy6Z+Pm6iwMsrV+mPXTXMJ75GfxoO33hUxhbpjoO7RC46yj4G7Cm76Rjyt4F9IcPtzyWRhgsfryPTPgMJf+V1TcUJ8hWHsWxp1/MRxZgPMpejmy4CcdO1nxY7AwRO8MQhbgPfR3vuYehUsL2DxNe+y7iC6869qavYcVpzPh+TBRi+4exI2uaO59Ij1CiLiKyiELqtWRKL1BPCUy1w8vr2xOQcQi885iocWKqZ8cbukx1FN7U3UVkMYaYTPgcJf+Vp1zQko62qVq6UemzwLrM+NcyWLkPh4XWEzwuMgNMOdeT+uJHcXc8DdEJLUgP7sTdsRnSWYLXvpvw+vfVHZKz6zn8e2/DHNwFpRmMjbF+GjswQvjqNxFt+AnwW/PESWQ5UqIuIrII62QIzBn4tvZJpZYUgfvydoZVM2Mb7f/uUHJzpKMtLe9j7thp3PggkXPGsW2GwuwTAqmb0w8rXgtHIPDWM01If+Vh3AVWtLVAZIaYMjeS+sTvYwrztx81WCgX8O/+F5x9W6m874O1xWMt/p3/B/fZB3CKJz8hMZUSzEzgfPcz2I3fo/zzf4IdXFnf5yvSI1SjLiJSg8nMu4jpW3RsuToZ0uVI5n3Nlwu0SGzSDbVotHiU/FdQdi9csCa+UQ5l3PjkxY+MDWh04m4vi/Gg/yKMN3xsW8W7kInMeyh6lxCaYSIyxKSIyBKaEQre1Uxk3ov/93+6YJJ+IoPFfe5hvO99rqaY/O/8I95T98xJ0k86ZxzhHNhB+gsfgVJ9awSI9AqNqIuI1MK4HMn+PEOlr+Pbg3BKV/OjZSIxWcYz78U6ffOeJgmhsxpr+qGOumWA2GSJzCpm0jcQV4bIRJtx7HTLSlNO7d1tTQqNH9UnJkXZvYDsyNzWn7HTz0zqerDR7NctxJIiNgNgDOalzZiJsZq/ngaL/+idhG/8BXAWfuNnDu3Be+Z+TFBbb3bn4E78uz5N8K7fqjESkd6hRF1EpFbGZTL7U5i4RH/lflLxLqojwIbQjDCdvonYWZF0lHMZj8BZgxvVl6gH7jlgqolzMfVqivYy/GgH2fAp3HgcQ0yMj0v9ybsF+oIfkw2fnf2/R8nNza7Aevr2k3K0BedaCt4VhN46+k739Ma4xGZ4zubU7Z+sf/5BWMbd9INqbfkC/Hu/hJmZqOu07kvPEIQBeH598Ygsc0rURUTqZJ0M05k3Jx1GXQr+VfjxHtwaO6pEZpDCqS37jEPgrSfw1p+0eWXhHzB1tlM0gEsFbOXYNi88hMXHsnSW30kiVovDjP8aSv5lTZ3HmRir+xgDeA98deFEPY5wdj9f/3knDuA+8wDRZTfVfazIcqZEXUTaKioHEMU42RSmS2q2e1HsDDLl38Bg5e5FF0yKTD9TqTfMafO4EEsaFjlnLaorj5a7o+d7jWJ8rBnAsVMtn3C74DVtH9E9j5HecxvEMfgpgutuwdtwY+0nCQOIG7vTpnKar3W5AGFl4dcXOudsgq9EXeRkStRFpOVK+w+z5a++zMH7niQqVPt8OymfoVeuJ/eff47Bi89NOsSeFHrnMGluZqByH66dwjllVdCYLJEzyLR/I5FbexeOmOyiyX89DNUZAK1uC9kODgGRLTPl30R/+DCenWrr9eJKTLjxWbwHN580kl/Z+SyVb30W/8wLcAoTUCmBcbAr1xJc/9Nz+5Ybc/RG18+cZh6Bbfxr5mx9ouFjRZYrJeoi0lLP/+Vt7PjstynvOzzntcL2fRx+cDOrrnsVG/7293G8ZJe270WRO8pE9qdw4yNkgydmFxcyRGaAor+huvBNnUJ3NX50qKVxGiwxKSDq6lVKqyU8BQaDHzDpv4XB4B7cGvqXNyIuhURP7SS6Pz+33CaowNhuvLHdJ7+28xmcFx7HrlxD5ad+HzswgvP8j/Ef/BrE9d9XC8Sj58x9oVLCffw7eE/dW3d9+lGmMA2VIqSyDR0vshwZ28S73yXOAoyNtXf0o1eNjg4Cur/t0M33Nv///jNbP3U70dTpExWT8hi9aQNXf+7DXVUO0833tps58TTDpa+2dFQdqm0uDdGSqVeP8Sl4V9AXbprztKK58zrYQ0WCB54h3rK/8fMMr8amMjjj+zFBY/3qLWCHzsD2DxFueAvR5W/Afeh2/Ae/iinNNPW1skDl5l8luvrtTZyl9fR7oX166d6Ojg429OOhEXURaYl933mEF/7mK9jK4nW6thJy8L5NvPT5u3jZ+9/ageiknWJngNAZxYl3tDSpXkpJOlTLYFLxbqZT19EXPIpjZ5quW4/IMjV+Md6//jVOk73GnYkDTR0P1ScIZvIgTB7E2fcp+PanIG7N18kAzoEdXfz8RKTz1LBWRJr24t99ncd/9S9qStKPiosVXvr8d9oYlXTSVPrN1X7tLUytl1KSfpQX7ydw1zGe+RmmUm+g4qwlMGcQ49ZVDm6B0KxgPPszuHd/p+kkvR2MjTAtStKPiTozIVdkqdCIuog0Zcfn7+KFj3+ZuBzUfWxh1xiTm7czdOnLWx+YtI4NMFQAH4s//4qrxmMi/U4GKvfgx/taujDSUmIIyAZPUki9hsA7j8A7r/qCDRgsfocUu2u6LwZw7QTGljFH9rUz5K5hAXfz/TgTY4QXXEl05VshlUk6LJFEKVEXkYZFhTIvfOL/EhyprTf3qYLDU4xvekGJejeyEenweTLhMzi2yNGO4dakKXkXUfIuAXPK4jTGYzr9JowtkwmexI/3YmyMBVJMgG1d3Xa3MoAXz9Of3PjgmOr6WDWfyzJY/h7lHhllNoAJK7D9KZztT2F//C3icy+hcst/1EJI0rOUqItIw3Z88S5Kew42dY5ouj0dMqRxTnSEocpduHYSc2pmaWfoDx4mEz7DdOoNhO6aOcdbk6aYuvqk3idn8EMo1L8QzrJhbfWNS52Hmf3bMVOt7aizFBjAjO/HTBwkfWg35V/6KPjppMMS6TjVqItIw3Z/+W5s0PjUL+O5ZM4ebWFE0iwnnmK48i08Oz43SZ9lsHh2ksHy93CjGle3XHE9uAMtjLR7xWZuQulHO+pevTU6OEXwtR9jGmijuFwYG+Hs3kLq/34s6VBEEqFEXUQaFhUba/F2VPbsUVbftGHxHaVjBivfx61x0R6XGQYrP6xpkRvjj8DKNxGx+GqnMamWTkrtpJgUJe+yOdtdO1nXeay1VO7YhJ1a/uVCizFYnL0vYA7vTToUkY5Toi4ijWtyGYYVGy7E7dPj7G7hxOO4cX0JpWOn8aI9Ne1r+i5kKv3m2S4oc7/uEVkCs5qJ1NuJzNIcfY/NAKGzes52W2elabTjIHaR9Qh6iTM9jn/fbUmHIdJxqlEXkYY52VTDx2bPWc0r/sv7WxiNNKsveAynzlU1HQL6wo1MemfVtH/ormUi+17caIxs+MTsRNVqglv0NxA5IwAE0dm4UX7B8ptuFJOh4F81b1ecwF0LgaHWd7fhI9ug0rslL/Nx9m1LOgSRjlOiLiINW/eu1zO5eTtE9SVTqdUjbPjb3yObcH16MDFNeWwC4zqkV4/A7Cp5vcqNG1v63Wmgm0vkjjLt/sSCr8+kXo9bHseP92GafXTTATEZZvwrqXjr53/dGSHGx6VS0/lsobb9ekqPdL8ROZESdRFp2Mt/+e3s+Nx3KL5U+4qH3mAfr/v6nzNw3ro2RrYway1jP3icFz7xFQov7ScuVcCAm82w6rLzePUf/yKsP7sjscxs38ehB54mnCmSPXuUM996NY7rduTaR3nhXvqDB3Dt1Gyv9Po5trH2nKdlXCbTtzBQuRs/2ovD3OXpLWBxiOmrrmrJ8d7t1WaS7ReRJXaGmfGuIlzkqULRvYL+6KHa4qqh7r/nOJ392RDpBkrUReQYay1Tz++ktOcglUOTONk0/kAf/evX0HfumXP29wayvPyX386Wj3+ZcGLxlRPTZ45w1Wc/nFiSHhXKPPr+P+fIxi3ztIWcZNfOAxx48BlW/8SVXP7x38Y47ZnGs+Of7+K5P/s8wcTM8acRBozvMXJljg2f/F2yZ7X3aYMbjTFU/hYOpaZHrA0B2AhjA7x4DENAZAaInNH5F0eq+cTubF/2In3BRrxoX/VaxFiyFL1LqXjng3EwtkwqfAHXTgAOfrgTn8NNfV6nE5Gh5L2KsnchsVPbk5hS6jIypWdm214uwtUUslPZwZGkQxDpOCXqIj1oeusetnzsS8xs3UMcxRgX4nLIzNa9xOXKnDJab8UAA+evY/2vvYt1P/l6zAnJ1/m/8W7CyRm2f/bbBIcX7haSOesMLvuL/8jIhguZeHor++58mGB8mtTKQda+6/UMXnROuz5dAOIw4uGf/yiHH9p82jLhyuFJ9nztfqy1bPjE77Y2hjjm/pv/M5ObXpz7ogVbCTn84GZ+8Jr/wNVf+C9t64jjRXsZKt+JQ6tKCWJGip/HocKJN9fiUnHOZiZ1I9B4WZE1WWZSr1tknzRl/9Jj/3fdHEPlb+Ky+BvIxjiU/FdgTbb2Q4xhPPOzrCh9GdeOL5isW4C1Z8BYbd13ekGc7ie47qeTDkOk44zt3cdrFmBMvwjbYnS21lf3t/WaubflA+M89qv/k+kXd1MZq78e2e1Ls+p1r+KqT38QJ3XySoGHHtrMlv91G9Mv7KJ84Ag2jHHSPpm1qxi5+mJyf/hzHH7oGbZ96nYKu8ZOSupTZwyTPWeUC37rvax9x2vrjqsWL3zyqzz3Z5+ruaTAG+7n6s99mFXXXrr4zjV64J1/xJFHnqtpX+O5XPftv2D4Vee17PoAxpYYKf4rDs211qxV9W47mNH3YPrWt/53grV48b5j9fWRs4LQORPHTjFUuh33hHKYVopJM5H5yWOTX+tiLX64vVpyRIHjb24MEVkK/jUEhZWkP/1HOFPteyqwlERnvpzyr/5lc09oGqS/Z+3TS/d2dHSwoW9ejaiL9IiZbXt54O0fpHK4vvZ7J4oKZcbu3shjH/gLrvrshwini2z71B3s/fr9hNNFbGwxrsPQZeez9u2vZcWGCxm58iKcTIqn/vDv2PO1+wkn545wVg5OUDk4wRO/89cceWILl7S4G0xx7yHyt36hrrrfcGKGLX/5ZVbdVk3UJ57ZzqF7NxFMFcicOcKam68lvXpFzeeb2LyNIz/O17y/DSMe/rmP8panP1PzMbXIVp7AdChJh6N14jGMfRV75s8CQ605sQ3IBk+Qjrbh2KljTwdifGIyOJRnR/hPcwoar2O3OFgarJk2hsBfz7i/HmPLOPEMYImdfqzJVPcZhvjcSzCbH1gSk2nbKV5xJpX3fTCRJF0kaUrURZY5ay3P3foFtv7d17GV5ksdbBhx6EdPk/8f/8zuf7ub4p6DEJ+cSBR3jlHYto/hy87n6s98iOf/4l/Z/ZV756kLP1k0XWTrJ79GYeservzHD55UYtOIOIx48vf/ht1fuQ8b1t/qbmrLTrZ9+k52/fP3Kew6cNJTgC1/9WUGLjyb3Id/kZFXX7jouZ74rY/PuU+LqRyeZOal/fTPMz+gIdaSil5IaCmhGMa+DplfavpMxhYZKn0Tzx6a87k4BDgEtZ2niRis8YjN4os3LX6eNJE7/1oCwbXvwn32IYh7t9uJdX3Kv/in2JEW/QyILDGarSKyzD35+59k26dub0mSflQ4VeDFT36F4q6xBZPP4MgUB+/bxIPv/WN2ffmHiybpx8Qx++58mI3/4S9ppjRveusevn/FB9j1pR9ig8Y+98rYBM9+5DNMPPninPr70p5DHLxnEz/+pVvZ+a/fXzyeLbvrDyCKefoP/67+4xbg2GkcElzpMi7ihvubO4cNGSp9E3+eJL2TQmc1mPaOdaXu/hdMDyfpAPHqc5WkS09Toi6yjO343HfYe/uPiIut78lsgxpGqGPL+MYtFHeO1Xlyy747H+SZ//pPDcX25B/+HXe//jcp7z/S0PHHwgjCavvG0ygfOMKz/+3zHPjBxgX3iYMAGze2cM/0iw0k+AswVBJeQMjSHzzY1Bky4WY829q6bUt9i+xGZCj6V7U0hjkKk5ixne29xhJgR89NOgSRRClRF1mmrLVs//SdhFOFpANpqCd0XAmrnWHmqWlfyPS2PXz38l/hpc9+u+4yk2ZUxsZ57tbPL/i6rTcTPOnY1n0eFh+b6Dg0OLaJLizWkgmfb3nN9om91xcTk6LkXUrk1D4/oRHuixsxkwfbeo1uF/ePENzws0mHIZIoJeoiy9SRx/KUdi/tP/TFXQfY+g931LTv5HMv8eB7/pjyvmS6ZBR2HmD8yXnaLgJuysc02Be7/5zWPfaP/3/27jtOqvJ6/PjnuXfulK3sLkvvoAOIgiKIqCi2qBijEltimkmMGmNijKlfvyYxGpNvjCXNFFNM+UWjsUSNXbGhoIKCyNDLAgu7LFun3/v8/pgFFtg2s1N3z/v1wpWZW84OuzPnPvc851ElaLxpO15qUk+yTd3Qt0S/Bw5F2HReLw5gU0TINZ2QO8Oj6QCtXbdvHAg0oIeOlbIXMeBJoi5EP1X7xOLEgjqFTMP6ux9m/a8fxYl2PUHQjsR454rbiezYncXgDhRvbGXDrx/t8vmiMUOSP6hhMO32K/sQ1UGUQcSclNMeIhp3yvsaui3l1VN7kkiKDVrcZxAxx2GrUmyKsSkmrsoJuY6gyXshIfcxGTn/Ibx9n6haqDTgDB1H5OM35joUIXJOur4I0U/FGjOwrHsOOOEoq2+9nx1PvMFxD3wfq/TQBKbmXy8R2rorB9EdKNxNTfz0u6/jjfO+k1RJjjWomFJ/emt0Q+4ZeEMftq/wmX0hqy+LOBkkUurMXGoYtOJ2amjxfAS0RhFDY2R80mhnnLHT0MWDUG2NWT93pnXXFtMpqcAZOo7owm+AZ+BerAixlyTqQvRTVkXqK0HmGx13aHxnDUsu+yHHP/IjDOvAt67Nf3kaJ41dbVLVsPgDWjdsp2TCiEOeq5w1mZLDR9O6ekuvjqVMg2Pv+3a6Q0QrH83W6ZTFnsHI9sRS5Sbqmpjy7rYqReNGZahzjQJcTntXGqVSG/2PhjA3vA8tu8Hjwxl5OLpqZNKH0ZXD0W4vKs03xfrSOz5dFIn6c6dqOEZLA9rygsvCGTqO+EkXo3XNLr4AACAASURBVMsH5zhCIfKHJOpC9ENaayqO9YOhsjqpMtOa3lvPtodfYfSlp+57zI7EiNYnv8pqRmjNK6dezymv3ENRJ73P5710Fy/P/TLBjTu6PYxymUy/+ytUzU3fqqgdxa0xNKtzKIs+294JJkuKp4OTesWlY5Rjq1IMnbkWk0qndvGi9tRivfhXjO3rUU11+47jFJejy4cQP+5c7CNO6t2iPXYM1+LHUY25v0uUMXac6GduzXUUQuQ9qVEXoh+xgxHW//pRXpn/NVbc+Jt+laQDONEYm/745AGP2e0rouYLJxThrct+2Gm3FsMwOPXN3zDp65fgKvElLqQ6UC6T4sNHc9JzdzDq46dkNM64ayQNvs/SbJ1OnBIcTBzMzNavh1Zj2km26jxI2JqW0fsAWiX/sWisX47n/ptwrXoDo3HnAcm+0daEuX0t7ifvxf3YXdDdhYDWuF76O957v4r10t9TvmjoTq5H0/eRVUaF6BUZUReinwjt2M2SS39A67oadDyXvbIzK7RjN8EtO/eNWJvF3j6vYJpubZtqaXhrFVVzOh8Rn/yty5j8rctoWLqa+lfeI9bUhm/0EMZ88nRcRVnsyqIUMWsijdb+chRf9B2K4u9mpt+63UKp8wKN3otAmSkdIqpGU5LmsPbSKKLmuKT2UbUbcP/nlxgt3U9kVtEQ5odvYVm/I7bgqkM3CLbgfvROzM0foOKZmTCbT3RRGcbGFaiG7Ym/Dx6FM2YKpHChJER/Jom6EP1AtLGVty6+mdY1NbkOJePs1jDh2ob9ibrXjR2O5Diqg8Rt1t35L6oe6L50pXLWZCpnTc5SUL0TsmZgOTVYTm1GRl9N3YInvoaINSX5nbVDefSx9AfVzlYlhF3JxeV++g89Jul7qXgEc80S4id9HF02GLTG2LwS67WHUNvWoqKhjI1450Nt+l4aMBq24/n79/fdNdBuL7psMPHJxxM/cSFYXbfJFGIgkUtXIfqBVTfdNyCSdAAUB4ygx1tDOQyma8HtBdrDXpk0e84hZozEwUr/4XHwxleltK/b3oipmzKScDqYxMyxoHr/PavGXag9tUmdx2jdg+vVh8CxcT/yc9wP/gRz4/sYGUzSIX+SdEjEorRzQGmPioYx6muwXnsIz5+/A8Hm3AUoRB6RRF2IAmeHozQs+TDXYWSNq7QI3+j9Pck3/empvOwXH9ldwImGsmj2LKDZfUZGatYNwimtVuuLv5+5JN0YSZs1N6n9XEuewGjtuiVnV8wtH+B+9C7M1W9hRPLvZzeXFBqzdiOef/wA4rlpISpEPpFEXYgCt/2x1wgV+AqkybDKi2nbuINoQyIRrnt5eV5Omo3vacl1CH3mi3+QmQNrDSTXTlPpEIaT+toAGuOQiw6NQVyVEXFNocVzVtITHFVDcqPp+7Q0YKx7F2VLItoVY+dmzHefzXUYQuSc1KgLUeCaV21Cx3LfQzxbWtdu5a1Lf4B7cDmlh40imq8JsdZEG5pxV5blOpKUWHYNlrMtMyUTSpHsx4+hg6gkk/uOYsYIYsawxPekNVoZRM3xhF2TU1/QyEhtrEtFgnlVipKPlGPjWv489uwFuQ5FiJySRF2IQpeHo8kZ5SRWKw3X1BGuqUO5UuseknEadj67lNGXnpbrSFLiiy3D6ENi3B1HlaTQnk+RaqW1g0nQdQxx13BCzEzpGJ0ed9h4dGAJKskCoYGQpKdj8qpqbkDVb0MPTn7BKCH6Cyl9EaLAlRw+CsyB+6us43auQ+hSeFdyy79HdjVS/9oKdr3wDo3L1qLt3HxvSkcwdfK1173h4CLoOir5/VQJOsXJrQ7FxM1hKe3bnfixZ8sqmhmkoiFUa0OuwxAip2REXYgCN/LCeaz7xb8Jbd6Z61DEQayyol5tV//6Ctb8/EFaPthErLE1UcOtFMrtomzqOI751fUUTxyR4Wj3M3QQg8y0vHRUWaK7SpK0cmMbFZhJ1qlrFK1WL1cETVZRGc6QMRhNfVvEqT9Ky6ut1P6+6lpDLJL44ykCV/o7EgmRjyRRF6LAuYp9DJo+SRL1PGOWeKk6flq322itWfmd31Hz4MvYbaGDn0RHYjQtW8tLJ13LiI/O5eh7b8jO4k46Dpno9+KqoNl1dsqL2gStmbgiOzHo3YJAGogYE4hbo1I6X29Ez/0yxl++h9GwI2PnGLAcB3P58xjrl2GueRsVaQPHAcNAl1YSn30u9tS5YORp+ZsQaSCJuhD9wBG3foGmFRsIbpRkIV8UTxxJqX/0IY/b4Sg7/vMGLas3U//6SppWbICeyndsh+2Pvka8NcSsv/1PFpJ1k8SYaPLJukYdUrNtU4TpGQzVC3AaUl/xNG4OJWqOw22vx6D710wDcTWYVs/8lM/XKyUVRD7xv3j+eSuqYTvK6b+rAmebcuJY77/ceb17cz3Gf36Jfv1hIpf+j5QgiX5r4Ba2CtGPeIdUMOv+71I0YXiuQxGA4XMz4UvnHfBYdE8Ly79yN4tOvo73rv8l63/5CE3L1vacpHew64V32PDbx9Md7iEcw0uqxQsRYxxRYxQxNYyoMZyQOYUm7wWoYRejzOI+x9bqPoWoORGHrleudHARM4bT5D0PVOZHW3XFMMKf/z9icy5AD4ipotnV1Suq4lGMXZvx/O1maE1uPogQhUJG1IXoJ0oPH82JT/6EtT9/kF0vvktwcy06LqN72aY8FsPPncuohSfveyxUU8ebl/6AtrV9XD1WQ+C2v+GuKmfUhSehzMwkoRoPDl5Mgknup4i4/MRcydeg95pStHrm47J34ou9g0vvAR1HodG4cIxSgq6jiJnjMlOX3lVYTbtwffBK0h1gRN8ZDdvxPHY3kU/enOtQhEg7pVNYHa6f0AB1dXnag7nAVVeXAvL6ZkJvXlsnbvPS8VcT2rIrW2EJwDO8kiHzj6HksFGEt9djFnkpnz6J1T/+W9+T9A6UZVIxawqz//Y/uIq9aTtuRyWRF/Da65LaJ67KafRe3GkNeqbeE5SOYugg4OAoH1r50nr8XnFsvL/9GkZ9+v6NRXKcsirCn/8/KKlI+7Hl8yxzBtJrW11dmtLIQd6PqPv9fhfwFeCLwHhgB/An4PZAICDLugnRCSNfe4v3V4ZiyJmziDe2UvfSMrb+4/l9Tym3Cx1Nbz9yHbNpeGMli+Z/lXkv340OR7GDEVxlRVhlfS8vAQhax2LZ2zAJ9bwxiZGPqDku5YmiqdLKja3cWT3nwcwPF6P2yGTuXDKad2O9/gixj1yR61CESKu8T9SBXwFXAq8BjwMnAD8EpgMfz2FcQuS3LN72F4rGtwNE65sOeSbdSXpHoc07eWbCpVhV5RhKgcvEM7icMZ88g9GXnYbpTT2BdYxyIq7JeOMrMeh+TEQDcaOaoDUr5fMVJK0x1i/D/cSvUbaMG+WasWtzrkMQIu3yejKp3++fSyJJfwiYFwgEvg3MA+4HFvr9/nNzGZ8Q+czl63qynUgzx+k0Sc8KDbH6JiJ1jUR27KZ5xQY+uOk+Xjn1elr6WG4TtGYRdk3DputyksTEzWE0e87NysTNvBFsxvOnb+F5+GeoaO/uOmSLJiPNNfOfljk5ov/J60Qd+HL71x8EAgEN0P71OyTeh76Qq8CEyHdDzjg21yFkh9w4OISOxWlbv40ln/ghwa19mKegFEH3bJq85xE2JxFXpdj4sPFiU0zMGEaL+3SaPeehc1x+klWREN6//i/mtrV5l6RDe2NNy4tTPgTtcu9L3Dv+6Y+0p3cLjAlRSPI9UZ8H1AcCgZUdHwwEAtuBNcDJne4lhGDiNefjHdn/ewubxTmYPFggQlt2seyaO/t8HMcYRKvnNBq9l9DkvZAm7wU0+i6myfuxRIeXAVZm5X7y16g8L7MwYmFUUx0qHkXBAX+g/yXriQsQDU7v250KUQjyNlH3+/0eYBSwvotNNgGD/H5/ddaCEiLP2MEIu154h81/fYZt/36F8M49+55zV5Yx9lNn4urlMvaFym7NvxHNfBLctIO2TbXpOZgycYwSHKNsYI2gdxQNYWxbUxA3crpqFbk3Ye9PyboCXGuW4vnrzRDv3cq1QhSCfJ5MWtn+tatVDPYWhJYDdameZG9rIJEZ8vpmRmNgC0uv/Dn1S1djR2L7PnGVy8A7eBCz7riKCZeeSvVtn8ejIPD7J4nkqoZa5FRkVyNbf/MIJ/3xm7kOBSj894TYC08Tba7PdRhpofb9t3+k7Aowt3xA0e2XYUyYhvuCqzDHHJ624xf6z24+k9e2a3k7og5Y7V8jXTy/9/HMNBEWIk8F/vAEj824kp2vrsAOxw74jNVxh1BtA69c/mOePOErOLE4x/zoCkaeNQvDY3V9UJESz+DyXIfQKy0bduQ6hH7D3rgSnP40aVGDN8N33Uwru207tYOz/n3Cd36V0D1fR4fasnduIdIsn0fU997P7ur+6t6WFn36DRwITfZzYSAtYpBN2598g2Vf/gU61kPLP62pe/NDHj/pa5RNG0/No6/jRKR9XLqYJT6q501n8Mkz+OCmP2S0BWM6RCOxnP8u5vt7gkajsRPlIioO2kJ18hHpDoby+oMzFToczFgpjwawY7kpFbJj2Ovep+Wu64l85jawUuuEle8/u4VsIL22qd41yOf3mybAIVHa0pnyDtsJ0e9p22blt37Xc5LewZ6lq2lauR4nKDWb6TT9zmsZcd4J2OEoG+59lODGNNWAZ4irRCbcdkYTx3GtQ7s2gNEG7P3dUqBdoItRMT+GPRZFovWkLqns8njiULmu5VeAsWMD7id+TfSC63McjRDJy9vSl0AgEAU2k1iNtDPjSXSEacheVELkTu0zS5Pv1a21JOkZsOftAACm103lnCPyuuuJWeJj/OcX5DqMvOMYtdi+p9DuZWA2goqB0u1/HDCiYO5Be97C9v0XrVoBiM86B6eoLMfRp1f+/vSmhwKMmgDkYStNIXqSt4l6u9eAYX6//4DZIH6/fwRwGLA4J1EJkQPr7n4IdP+Y9FXoav71EtpOtIGbdusXKTtiXG4D6oZvRBXV84/OdRh5xTFqcTyLwWhNJObdURqMZmzvs2gVRA8bjy6XZmOFRjXV4Vr631yHIUTS8j1Rv7/9621+v98A8Pv9CvgxiYvk3+UqMCGyLbqn/9fwFYrYnlYaliZG1V3FXuY8fAueYflXEuGuKmPSVz+OMvL9rT57NDaOZwkYSY6uGmFs7/MAxE6+DF1cGBOJRYLSDsaWD3IdhhBJy+t370Ag8DzwALAQWOz3+28HFgGfBh4CnsxheEJklwym5w+tqX1myb6/ugeVMPnmz+Yunk64q8qYcM35jPr4KbkOJa845iZQwdR2Vq3Y5hqcw2YSnXcJ2jDTGpvILGXn96RvITqT14l6u08B/wsMBr4GDGv/++WBQEBSFzFgWP184aJC0/DG/gWTI3WNrL/zwRxGs59nSAUVs6dw9G++zqRrL8x1OHlHW2sTNeipUKDd7yf6wxx7NvZhx6Y3OJFR2luc6xCESFo+d30BIBAIxIBb2v8IMWBNvHYhy67+mYys5wnlSoxzaK1ZcvmPaF1Tk8NgYMhZs6maPZXh5x5P0ZihuYsl36k+TihUMbRRj3KqiZ59Jcb2dRgtu9MTm8gYx1NE/Nizcx2GEEnL+0RdCJEw4rzjWfntEmKNrbkORQCuksQdjvpX3qNt/fbcBqPBtCwmXnN+buPoQBPCsVahzVpQcXaFDMCFYw3DiE1B5WqtOtXVGnq93V+jrQBEqqG0Ej1kDEiinv/KBuOMnZbrKIRIWiGUvgghAGWaTPnB58CUX9t8MOS0mQCsu+dh4i0p1jynUePydcTb0tt+TuOgVRtaNSU6nvTido5GY1vLsX1Po90BMJvAaMPWLdh6D9r6ENv3NLa1Iq2x9kaixWLfb0npDgtmRy64HmfwqD4fU2SO4y0hNue8vG6jKkRX5BNfiAIy5tLTmPmjz+8ruxA5ohShmjqAfV9zLbyjnj1LV6flWJowtrUM2/cUtvcZbO9z2N6nsb1PYVsr0XS9yq1jvYO21nTdVUUBRhDtWo1tLU9LvL3lGDt6bsfYKx0SPl8p4U/dgj1iEo6n83kk2rTQSiae5oLjLSZ+7FnYM07LdShCpERKX4QoMEd961KGz5/Oi5f+iFBNHTpu5zqkgUdrah58keHnzU1qpdhM0jGbSLILYnXCMbbjeJaCautkJZww2ngf27UBI3IChlN10L61aNdGUL14TYwY2lqLY4/CcAb3Oe7e0K4taTgIqIPjLRlE5IqfYmxeifXqQ6imXWDbYJjo4jLic87DGT4Rz33fRIVa+v0CQ/lAmxZO5XDic8/HPmp+rsMRImWSqAtRgKpnT+HUt+4l2tjKlr8/R3DTDupeXk5oy65chzZgxPa08uEP/5I/pUiGwlXWt64WjrETx/NW9z3GFaBacTyvQng+ht7fT9yxVoLR9Wj7oceK4VjvY0ROTT3oXtJoUH2/kEH7MGKTD31cKZxxRxIZd2T7dvqQUovwtffi/n+3YNaslmQ9zRzTQlcMBZcbXT2a+MyP4IyaLOUuouBJoi5EAXMPKmHSly8AoPG9dbxx3ndxwtEcRzVw7Hk7QMmE4bkOAwDP0AoGzZiU8v4ajeNe2vuFgIwgjmcxRvisxP4qBEYKi3KZu9BEUHiS3zcJ2tgJRhp+N5wqFO6et+ssQfQWEf3cj1Hb1+F++vcYtRugvbe3pJN9o4eMJfKF/8t1GEKknSTqQvQT5UdNlE/7bLMdYk1BDI+FE0liJDkDikYPxTukIuX9tbEdjCQnxao2tGpE6UFo1Zhi60MHbe5A2eNS2Lf3tNGUev/0vZwSzMicvscyYhKRK34C4TbUzs243n8BY+MKjFALxKIo3cc4ByKXpDOif5KfbCH6ifpF78lt3hyIh8J4qgflfFLp2E+d2eM2WmvsYBi7LYKr1Ifp2z+K7Vire1db3pERwbFWYkZPTH7fvRQ4rnUYmU7U6UPyqwHtwQyd2bvR9N7yFqPHTiU2dmri73YcY8Ny1O7tWEv/i9FYm75z9WMacIpTv0gVIp9Joi5EP1G3aDlOsI89okXS7JYQRUcfhtaa8Lb6nMRgFnmoOumoLp+Pt4XZ/JenqXnwJWJNrWjbQZkGnupBjP3c2YxaeDJ4UysL0e2lMkr3oXQl2ZH8FChdhNakdtfJKcYIfxSV6UZppgvnsGPhMHAmzcTzl+9iBJsze85+QAFm3RZi2gGVJ3NGhEgT+YkWop9Idw9t0XtOKMrsv/8Ppf4xmCW+rJ/fN2Yo3mGVnT7X8NYqXpn/VT780f20fLiZ8PbdRHbuIbx9N03vrWflN3/LolOvx4mmepHX3u7QqQJSbUGY+TtB6qAONUnta4/GyPLHpR48ksjF30Eb0taxV8KtqKbcXCgLkUmSqAvRT/SlPln0TUtgC6bPw7xFdzPzDzdSdcKRlE4Zi7Kyc9Ny5AUnoTope2pcvo53v3QHwc07we689MOJxmhbW0O0qSG1k+tEIqkwIeVR9Swk6tpLyjeRdW5WUdWjJxM74ULpwd4LKhaFiAxWiP5HEnUh+omRHz8F95BBuQ5jQIo3B3l57pd5fuYXKR4/guP/fQsnv3w3lcdPzfi53UMGMe7zCw55XGvN8uvuIbyjd8vbW+UpJLHttdt7qdiE1Bb+dDKfCCtc4JQmv6Pjw7DHpj+gzsQiEA0lWju2i598GfaUOeg8m3+Sb/EQj4E7NxdUQmSS1KgL0U8UjxtG8dhhRHc15jqUAUnbDpFt9Sya9xVOeOonlE+bQOOytRk/7+y/fg+r9NAVMesXvUd4W+8nuKa02q0CzP0XAkZ8Kra1PrnuL9qFEcv8BQ2AEZuMY7yVXPcXpwSl+9afvjtq+3rcj9+N0bBjf4KuDJyh44guuAo9bALRC2/Ae/eHqJYU73qkmfaWoEsqUPVbcx3Kfkqhy7OzcJYQ2SQj6kL0I/5vfQJ3VXnPG4qMcSIx3jjvu9jBCDqa2VVjB596NINmHNbpc+t/9W/irb1MmBV9qD7Z/z0qXCh7WHKj6roY5WSnF72yx4JOYlTd8WLEup6k2yeOjee31+P9442YdVtRdhzl2Ik/dgxz+1q8f7gR9/03gWOjK4ZlJo4kacAeMpboR7+MU9L5vIhc0B4fSD2/6IdkRF2IAmcHI2y+/2lqn16CjsVxlfqItbSho/mxtP1AZLeFWfPzBzJaeu0eXMaRP/5Sl89HG5JYfEhD6t0LD/wYMaKzsY1mMHb3/P07xRjhE1FZWgBAYWCG52N7X+h5cSbHi4pOw3CGpj8Q7eD59bUYe2q7/c6VdjA3r8Tzl++hi8rSH0cKFGA07MAZMgZ73DTUylfyYvkGnUcXDUKkkyTqQhQo7Th8cNN97HrubULb6tDxgzIt0+hyAqHIvM1/fhpXiY9ohlaKLZ4wguJxXY+yaie5f3s7GMdwJ9kjXAOxiQc8pDAxw6dhe14FowGMTrrJaFciSY+ciKGzewdI6SLM0BnYnsVgNIEKHnhB4bhBF2NEj8RwRmUkBtcz9/WYpO+LFzC2rSE28yM4niKMSOZbWfYYU2sD3nu+lFicKdfB0D7K75+V6zCEyAhJ1IUoQNpxWPrp26h/5b2uV8SUJD2n4i1BPL7MdOLxjR7C9Huu63abZJPujXcHOOymaSgjmdTLwIhPOeRRhQtXZD5aNeNYK9BmI6apAQM75saITUU5w7M2kn5ofN5EfIRxrNVoowHQKO1BxSdjOBmsddYO1vIXkvrOFeAKLIGywVC3JVORJRWPCiVxxybDdHk18Tkfy3UYQmSEJOpCFKAl37i3+yRd5IXIrj3pPaBpUDRmKMfe901Kxo/odtNhZ8+macX6Xl+wbbhjNRO/OQXT18uPBQ3Eq7rtL650GWb0BACqqxO14XWtmU/w9L5aHqPbiwGFFzM2I+PxJILSmCsWYb3yQKK7S5JUWxPR2Quw3nxcFkHqQAP2+KPAm7kJv0LkkiTqQhSYeDjK1icWS5KeDUrhKi8m3tiatVMWTRhO2ZSxNH+4hXhzKzruYFgurMoyRlxwEuO/sKDTLi8HG/f5BWz523OEtu7q3Ykdzaqvr+bIX0/rXW29AswwmiiKJEtmMkBj47jWo11r27vOOIACXYSKzsBwRqR3BD/chvXcnzFXvYaKxwGd6NZSMZTox65Dj+gwyVc7uB++A3P9u6hoOKXTKe3gWv0WTuXwxMTTPCiByRe6TLq9iP5LEnUhCsy6Pz9N25ZeJl+ib7SGJGu9U6VcJkfecTVjLj0dACcWJ1RThx0M4yotwjd6SKeLGnXFKi1i+Hlz2fyXp7Fbe04OrYpixl19NKgkLgBVC461Knuj0u20agUVQuOA9qFVGO15PZGgH/ISNaG9i7C1FyN0FgY9X+T0xFz0AO7X/gWOfdDpbMz6Grz3fQtdMYTwVXeDy4P1n19hrl2Kivft4trcnmj3qU0X2uUGZaBiqSX+QGLVU61RunDL5BRgrl9G/ORLcx2KEBkhiboQBWbTw6/iSEeXrIk3t082TGUhn54oheF2UXHcVGbc8xV8w/ePDBqWi+LxfWtbOOWmzxDd3UztE4u7bdVoVXkYc+VYSo9MMpFUoM0adGx6n0erNTba2AN7R+idisRqpx2ed8yNaGtNe8eWg1pfdts+BVBhnKL/QPA8DHwpx2m+9A/crz+E0l3/QCg07NmJ9+4vEfnMrZjr3u1zkn7A8e3E779G4ZRUokItKLt3x9cAlgeUgTZdYMchGsqLSaEps+X9UPRfkqgLUWCcqJS8ZJtyW+g0lhoVTxrJEbd8Hnd1OeVHjEcZmVnSQinFjLuvY/Oxk9n85/8Sqqkj1qGMx6r2UDS2mAk3TmHogpEpniQExh5wUmuP56gmHPebYO7hwB6RJtiDMaKzUdqN7X0pcR7VhysmZeP4nsIILUxt94YduF9/uNskfd+2AMEmPH+9CaMtM4uQKTS0ti+CpNQBK5p2RisTbVko20bZkcJOzjuS/umiH5NEXYgCY1jya5ttOm6jPOlL1u1gmKo5R2AWedJyvJ6M/dSZjP3UmTS8G2Dni/8m1rwb92A3wxaOoeTwPvbnVjEcVYdBSdK16nHXCnCv7CL5tsG1E8d8AhwfmGmqyVYRbGMHZgqLLLmf+E1SZSIKoDXNE4o7Owf0nKS73GjDxIgmsWpsgdAVGeh1L0SekE98IQrMiI/MYsfL72WtdloAtsPwC05i+0OL0nI4bWtircGMJ+qx5jY23vcUjW+vxonZuIe4GfuVCsqPGZvW82jPO9gsA20mJm86gzBi01Dd9EiPuwLgXtHzxFWlwUjjxEkF2r0Uwuclt188hlGzOn1xZNDelP2Alzae+57n2mWltQQIQBeVE5sn9emi/5JEXYgCM+Xq81h1z8OEtu3OdSgDiqe6AsNtpaX0SBkKV7E3DVF1LtbUynvX/4qm99cR2lYPzv7R1roX3HhHFTHpe0ekXu7S0b7szwHlAE1oswnb3AJ4MSInYDhDDtjFwQH3st6v3JruDNMIodFJ1dWr5npwkq+FzkVy3Nk5c52kO74y4tNPwXrnGVQK7Sm7PG7VCPTgNPwcC5GnMlMYKYTIGKvEx9C503IdxoCz8XePo2275w17wRpUglmUmUQ9Ut/EG+d9l9onFxPaWndAkg4Qa4jS8n4jH1z7NpvvXZORGAAwNBghHO/zxL1PEYlv3/eUY63kwHr0bNNAkkl3LDMrzPZ3GoVTPZroJd8mftqn09pK0akcQeTjN6bteELkI0nUhShAJ93/bUxfduqbRTvbQadptVetNa2BrWk51gHHdRyWfOIWWlb3vHpltC7C+p9+SP2LtWmP4wAKMBtpiD5Fa2xl4jFXIPdDvMl+/PlKSDXoTDQMKgTaMIl+9FrCV92DM3oKGCbxI05Cu/t2kaqVwh42nsinb4GSzKz+K0S+kERdiALk8riZ+LWP5zoMkaLW1Vt4r8XbegAAIABJREFU86L/ZePvn0jrcXe+8C6t62p6tW3JEeVMvXMm3pF97yveOzYtscXYxtb2Epkc0t4DWj/2apeyKrSV/MWxBrSvNOn9+gPl2Fiv/BPVsGPfY/F5F2NPmpn6a+n2EbnoO0S+cAe6NLVOQ0IUEqlRF6JATfjiuWx78CXa1m/veWORdyK7Glnz8wcwS3yMuew0AMK79rDz6bcI72zEKi+met50SieP6fUxN/zqEey27hfA8Qz3MeNvx1M0sQTP4MzVyXfOQXtfI6djzBpUvPevaUfxY87AevPx5MbV3V7isxdgLXog0U5xgDGa6rCe/RPRS7+beEApohfegPX8/ZiBN1FNdSjnwJIyrYxEu8n2lpPaU4QuqyI+/TTsmWeCK/cr4QqRLZKoC1GgXMU+jrnvW7x62vWQppIMkV2xhhbW3fkvfGOHsuqm+2hdsxXdYTErZZn4xgzlsOsvYvRF87s9lrZtQlu7X7HWO9LHrCdPoXhSDkd4+9IHPR20GyM2NaVd46d8AuvtZyDeu8mQGogde057qcfAS9L3MnZtgnAbeIsTDyhF7IzPEDvlUsxlz+P68A2wY2CYOINHEz/p4sSqr407E4l6aSW6enROvwchckUSdSEKmG9YJabPg93NqpMis4rGDaPEP5p4awizyEvdouWQxMqxwa21vLXwpkMmfQLomE1w/Xbeu+4X1L3wLkf/5uso1fl4brw11GMN/dEPnJjbJD3XtImKHoUixTsJlofwFbfjve/GfauDdnkqwJ4wg/hpn8L9yJ25L8nPIdVUj7liEfascw58wvJgz16APXtBp/tJf3QhJFEXoqDZwTBOWLpR5FJw806CmxITMpXLgHiSdzcc6HG01XHY/uhrWINKOPL2L3W6ieH1JEoFOuGu9lB99nCKJpYkF1t/4rhR0aMw7cP7dBg9dByhq+7B++fvooLNoJ0DknANYFrEjz6d2NlXJh6MpHYhrcmDObdpoNAYe2rZV+ASjyZWE927omgsghlYgqpLTILWg0djT5kjJS5CIIm6EAXN8HrQnYzEiizqsCKkTjZJT/I8W//xPP5vfxL3oEMTbtNjYZUXE95en3jAUAxZMILx1/nxjinCXe3BdBfoUusdf8STyVwTsw9R8XEY8SNQ2peeeCqHE/76n2D3dtyP/wJj97bEz4HbS2zOeYmR4w7L2ht1qXX40R4fWpkY4db0xJ1LwRbc/7wNo35roszF0ahIEGL751Ts/afVAE/5sCfMILrgKijq4+q5QhQwSdSFKGCKxOI5SaxqLgqYE4mx5v/+H9Nu/WKnz4+8cB6rb/8rpsdk5sMnUXZ0Ba4SK8tRZkDHDK7TZTc74XhR0akYtj+phY2SUjWC6Od+3P02WqNaG1I8gSI2/xO4n7nvkAmXhUSjcK1+ExXrfqLzXgogGsK1ejHmhuWEv3gHunJ4RmMUIl9Je0YhCphZ7M3oCpci/2x7+JUunxt3xTn4xpYw85F5VMwd3D+S9I5U+x8U2F5wrAOT9720CU4JyhmSuSS9t1r3QIpJtooEcT/754JO0hN0r5P0g6loCO/vvg6hljTHJERhkERdiAJmet14R1XnOgyRRXao644jrhIfxzxwMuWzKlFmP357VxqMMKhYh+S94/M2uOpxvItwzPQvLJUMFQkeUB6V1L6AsvNvDkoy301a6uxjYTz/+klfjyJEQerH7+RCDAxjLj8D5SrQ2mORVhpN6eTS7NWi53J6RGcJ+sGMEI77bRxjdzYi6pzlBaN/fdQmk3in436GAoyaQMp3JoQoZP3r3UOIAWjMZafjGz0k6f3Kpo1n9KfOxJTSmYLS7UWZsYesZ897y0/ylRHCcb+O7V6K7V6C7VqNJnuj1Lq0Al0sy9z3mR3H9c4zuY5CiKyTRF2IAmf6PBxz7w14Rw7u9T5l08Zz/L9vYfrPrmHMp87MYHQi3YYtOL7L5xzVlP0FhYxY/vcQNFrR1lq0tQ7tfhfb91/inlfQKpiFc5vYU+fm9bVMX2nDRGf4h0ABxsb3M3oOIfKRJOpC9AODZkxi9t//h9KpY7sdIXeVFTPyolOY+/iPscoTLf4mXXsh3hFV2QpV9IFymUy79QvdbJHldDDfE/S91EH/b7SBqwbb+zyOasz46WNzL0CX9ONRdcdBZeNnz45l/hxC5BlpzyhEP1E2ZRzzXryLhrdWse7uhwhtqydS14i2Nb4x1YxaeArjPnsWps9zwH6e6kEMOf1Yah58SRZPynPDzpmDVVrU5fOGLsHWZmIypeiZ0YrjfQUVOjP11Up7o7ic6IJrcD9+D0a/7F6SnQtEXTkiK+cRIp9Ioi5EP6KUomrOEVTNOSKp/Y78yZeINbZS++TiHpehF7lRcdwUjvndN7rfyBkMuhhUc3aC6g+MVhxrJUZsBo5rPRh1aGWjtA8jdjhKD0rLaZzDjyW68Bu4n/otqmF7wdyM6I1sfC/aMInPXpCFMwmRX6T0RQiBMgym/vAKlFeW7M5HrrIi5j52G0p1nxIpDFR8RH5P7sxD2rUB2/ck2v0u2toCrm1oax229wXi3qdxjO1pOY8z/ijC1/yC2KwF8k+UJF0xFF0xLNdhCJF1kqgLIQBYd9e/cNpSW5REZJYdjNC2oZfJoi3JTNJUPFG3fvBEXCMCZgOO501sc22azmUQP+MzaF9Zeo43AGjTRfSsK3MdhhA5IYm6EAKAhqWrcx2C6IKO2zR/sOnQx7WmbdMO9rwdoGnFBmLBGrTnzcKZ5JkveuzHHka7V+AYtek5n2lhH3lKvxlVz+T3oQ2T6GmfxpkwPYNnESJ/SY26EAIAHYvnOgTRjXBtw77/t0MRNv/1WWr++QLhnXuwQ1GUaXD8opMpri7JYZT9mBHGcS/DCJ+dlsPFzvwsxtolGHtqC/q6SgPaV4pKYZJsd6uWakBXDCd6xmdx/LP7EKEQhU0SdSEEAMqU1U3zmbsyUSoR2rGbJZf9kNa1W9Hx/RN/q04bhnuop6vdRToYe4h7n8KIzsJwqvt2LKWIXPNLfD++pKBX3NRlg7EPn4V651mU7t33oS0P8alz0ZUjMTYsw9i1FRWLABpdVI4zfCLxEy7AGXl4ZoMXogBIoi6EAMBdJTWzGecyEkOFSXbWUaZB6eTRRBtbeeuim2ldW3PINuOv92OVWWkKVHRKAWYjjuc1iB6LYY/u2/EME+3yoKJZWHgpzTSJJD38xTvA48Oo3YBRs6bHfupO8SCiH70W57CZiQdOXJj5YIUoYFKjLoQAYNJXFuIq8eU6jP5NKTyDy5Pfz2Wy4sZ7eWnO1Z0m6QDuSunYkzVGCMf9No7a0+dD9dTJJx9pFPaUuYSvvgeKysC0iFz+A+wJ03F8pZ3vY5g4g4YemKQLIXokI+pCCAAGnzwd36hqWlZvyXUo/ZbL42bM5Wey9o4HktpPR2I0vrum+42Mwkv4CpoRwnEvx4jM79NhnOIyzEhbmoLKPK0M4tPmETv/qwc+YXmIfvJm1I4NWK88gFG/FeJxMBTaU0x8+nzsY84ES8qzhEiGJOpCCCAxsnf0vTew5JO3EN5Wn+tw+qUhZx3HxGvOZ/tjr9G2bltaj62jslBV1hlNaMJ9WtU0Nv+TGA//rCAmlGqXhT3uSGLnXdv1NsMnEL3kO+1/cUDJjXsh+kJ+g4QQ+5RNGcvsv32P4kkjMWTxo7RSlosjfvg5XCU+5jzwfYompnc59F1PbceJS7KeVSqI49rap0M4U+aCO/VEPxs04FSOIH7ceUQv/R4YvZx4Lkm6EH0mv0VCiAOUTR3PyYvuYfqd1zJo5uEUjRuGb1Q1rvLiXIdW0EZ87AQ8VYn6dN+oak584nZGXXYaReOGg9Uh8UlxaHXzr9cS3hZKQ6Si1xSg+jgRVCmi8z+JzuNadXvcUYSvvofYqZdL8i1ElknpixDiEIbLZOSF8xh54TwgsbBOvDXEK6d8lVBNXY6jKzBKUX3KDGb84sCaXndlGTPu+gp2JMaOJxbTumYLdjTGpt8/mVJP+3gwTtuaZnyjfCizHydT3TXfzgXd90479uxziTfswPX20yidX3dFnNJKYh+7rvej6EKItMp6ou73+08HvgXMArzABuB+4GeBQCB+0LaVwA+Bc4EhwIfATwOBQHIzsYQQKbHDUWoeepnGd9bgRGOU+McQbW7Dbi68dnK54Bs7lNEXz+ewGy7psruH6bEYtTBxQfTW5bekvPDU5NunU3lidf9P0h0LjFh+JOuOhXKGpOVQsbO+iDN0PK7XH8ZoqkPlQW91x1tM7MSL0GVVuQ5FiAErq4m63++/nERS3gI8DDQDZwI/Bo73+/3nBwIB3b5tMfAccDTwILAFWAj80+/3VwcCgV9mM3YhBpJ4W4iV3/09DW+uIrSt/oDk0VVaBEqB7i8LoGdG5fHTOP7fP0QZvUucY02tNC1bl/L5Nv96LWOumJjy/gVBAWYs11Hsp4tRTvqSWPvo07FnnIax5QNc7z6LCragoyGMuhpUJNhjj/J00YAuKic2/5PYx5yRlXMKITqXtUTd7/f7gHtIJOdHBwKBje2PW8BjwHnABcC/23f5KnAMcG0gEPhV+7a3AIuBn/j9/gcDgcCubMUvxEAR3dPCmwtvovmDTZ0+H2+R0fQeGQaTv3d5r5N0gA2//Q/R+qaUTxnaEmTb3zYxur8n6/lCg4pPRKV7aF8pnLHTiI6d1uFcGmP9u1jP/QWjaRc47eUxdiyps+9N8zvbZ98lgGkRm3kW8ZMvAa/MSxEi17I5oj4fqADu2JukAwQCgZjf778NOLv9z95E/RpgJ3Bvh21b/H7/rcA/gE8Ad2UpdiEGBG3bvHXZD7tM0kUvOQ4ffv9PnPDkT3q9S/0r7/XtnHHNlj+ul0Q9a0xUfEJ2TqUUzqSZRCYduFCQ8cFruP/7O4xQS4+HcDzFxI//GLqsCtfS/6JaGyASQmkHbbpwho4nuuBqqEpvNyIhRN9kM1HfBHwXWNTJc5H2ryUAfr9/IjASeCgQCBxcqPdS+9eTkURdiLSqfWYprYEk282ZBtj5NQEuH7Su307j++sZdFTvEmcnxdr0jiLbQgQ3tlI0vqTPxxI9cdCu9RCfnLsIjjiRWFsj7tceQrV1fTfG8ZVgzziN+EkXAWBPPxXCbahwG9pyJ1YXlW4uQuSlrCXqgUBgFbCqi6cvaP/6QfvXvZ9s6zs5Tq3f7w8Dh6c3QiHEht88ih0MJ7WPe1AJxRNGEKqpI7yrAWypXQeI7Wlhzc/+yez7v9er7ZXZ964adlscslTHPOApjTZ3HpCo20Yd2noHjPbfIe1FRY/BTNOE087Ys88lMnwiRW/8C2fnVmjav1iZU1yBrhxK7ISFOIcde+CO3mK0lLYIkfdy3p7R7/dPIVGPHgH+0v7w3tk5jV3s1gyUp+P81dWl6TiM6IK8vpmT7tc2HgwT3dGQ9H7R3c0cffOnGffxk9n1+kpevvQWtIywAxDbXk+JjvPGNXdR+/J7OHEbwzQpGTuEGT/4LGMWzNlXxz702MNofCeQ+skUTL17Jr6xMpqeNa5aBhXb2LqFxugL6H03h/cKon3PY+Oh3H0qPteYzMRRPRuOmY3TtBv7wyXolkZUURnm5GMwqoZn5pwDkHyeZY68tl3rc6Lu9/s3AWN72OxXgUDgkDWH/X7/KOApoAj4eiCw75773sa0B7/r0eHxoqSDFUJ0KdLQknL5ReuWXTSu3MiuN1eBoSD3neXyQtPaGh4YdQk6fuAL0rCnhRcv+F+8Qyo4/bFbqJ41menfu5ytT7xJcFt9F0fr3tS7ZzLsY6NQRj70LRwobHZHHu0kQT+QJkJj9GkcfRLF1pSMRWOUV2HMOTtjxxdCZF86RtQfAap72GbJwQ/4/f5JJNovjgN+GwgE7uzw9N7l9bpaw9wDtCUXZufq6nqehCOSt/fqWF7f9MvUaxttjZLqOPjaPz1N4LdPSEeYgzjhbloJOppwbQP/nf91jnvg+1TOnkKxf0xKiXrxYaUMPXckZlHOb5IOOD0l6R23bI6+SmtTCYYelPY45D03c+S1zZyB9Nqmetegz+/qgUDg+mT38fv9s4AnSST495Lo8NLRnvavXZW3lJHoCCOESBNrUDGuYm+v046Oorub0x7PQGEHIyz59K2csew+jvntDbzxse/RsmpTUseY9N0j8AzxZiZAkT5K43jewAifk+tIhBAFIuvTvP1+/xkkOrdUA7cFAoGr9y5y1MGa9q/jO9l/OIkVTftQzCmEOJgyTQbPm57rMAak+J5WNt//LFZZMXMf/RFVJx2JVVXWu50NRdnMyswGKNLHaMI2duKYm3DMTWhjN1omAAshupDVRN3v988BHiVRX/61QCDQaTuEQCCwhcRKpCf6/f6DYzyl/eviTMUpxEB12PUX4R0uSV8ubPjt4wBY5SUc/9AtnPD4jxn20eNRru67wViDLFylUvJSODTa+xKO9w0c7xvYnhexvU9hWx+gZXKHEOIgWUvU/X5/CfAA+yeO3t3DLn8FRgH7JqH6/f5S4Hskatj/mqFQhRiwvEMrmfS1i7AqZAZ+tkXqGw+YzFsyaSTH/uFbnLP1X0z5/mdxDSpJ9KxXoEyFNdjDoLnVHPXnE3EPlrKXgqEA1WE2iBEDswltvY/tfQ5NNGehCSHyTzaHYa4ExgANwCC/3//9TrZZHQgE/tn+/z8FLgbu9vv9J5Poqb4QmAB8JRAI1GU+ZCEGnnGfPRtlGKy961+Et+8G3clteVnkKP0cjR2KYFgHvi0rw2Di1ecz8erzCdbsJFj/KmZpA97RbqyKrubbi4KjNJgN2N4XMcNnoOh7X30hROHLZqI+r/1rJXBzF9s8BvwTIBAINPv9/pOA24CPAmcBq4HLOiTzQogMGPvpjzD8o3PZ8JvHqH36LeKtYdAaw+2ibOo4mt5fT6hGrpXTSoGrxNftJp4Jm3EfboOSXun9ltGI41qPGZc1/YQQoHRno2UDg4aB0RIoFwZSy6Vsy8Vrq20bJ+5gehJLHLx0wpdpW7cta+cfEEyDk579GeXTJnT6tGPsxvG8RHDrHtrWNONEHTxDvJTPrJTe6f2NXYErnFw/dHnPzRx5bTNnIL221dWlKb1RywwkIUSPlGlidlji3iqXpcfTznZY+qlbOebeG6g8buoBT2mt2f7Uv9n4q8WENgeJ1kfA1rhKXXhG+Bhyzkgm3DAZa5CUwvQLKohWzSjdy84/Qoh+K+vtGYUQhW/c587B8Fg9byiSEt6+m2XX3kWkvmnfY9q2eefzt7PimmdoWtJAdGcY7MSd0HhLnLZACxvvXM2b81+gbUP/H5UaEFQMrWTxMCGEJOpCiBSMOP9EfCMG5zqMfim0ZRfrf/XIvr8v+/Jd7HzuHey2eDd7QdvaFt5Z+BrRunDfAtAKaeudD6ScSQghiboQIgWG5WLa/12NZ2hFrkPpl3Y+uxRt2zSu2EDdy8vR0e6T9L2Ca1v48NvL+3h2JTliX2naL3ja/yS9vxulpbxMCCE16kKIFFWfdBTT776OFd/8DaFt9elp12gY4Ejbx1hDC63rt7P2Z/8ktie5cpbGJbvRjk5tgqm2gFjy+4n9NKC94FSgokeiPUvB3JPkMYpRun909olE4ixetJGVy3Zg2w6GYTBseCmnn+unoqoo1+EJkfckURdCpGzI/KM5+aW72fTHp9j270XEmtr2tV2P1jehY70bCd7Lqigh1tDSee/2AcSOxojuaaV51aak9/WNKUbHHZQ7yT7cGnBcYEqi3icKUGEwdqCN3YAF2jhwkaPuaBMj5s9khFnhOJr/PLiCD96rpbEhhOPs/53evL6BD1fUMnREGZdfOYviEpkELURXJFEXQvSJq8THpOsWMum6hdjhKHYogqu0iLcu+T67X1uR1LF8w6uI7W7OUKSFw7BMcBycSPJJc+W8aoxkk/S9VHIXVqIHRhSIJhJ1Tc8lRRqwq1H22MzHlkFaa/762yWsXrmTWLTzC5TmpgjNTXX86qevcs2NJ1JS6slylEIUBqlRF0Kkjel1464oxXCZHHbDJViVpb3e1zO0kvIZkzIYXeGwBpXiGzuUVIrFXSV96MajZDQ9I5QD2gW6mwsobYI9DDNyMqrAJwk8/diHfLii6yS9o107WvjjL9/MQlRCFCZJ1IUQGTF47jTGfvosXL3oue6uKsP/7U9QMmFkFiLLPKPIy6AZhzFy4cmUH5t8GUPV8UfgHVKB6U2+JCDS164vIjNUHOxBYA8Gx5coM3Jcif+3B2NE5mJG5qNI8W5InvhwRS2LnllHPNb7uSZ1ta1s3tCQwaiEKFxS+iKEyJjJ3/kkVnkxm/70X8Lb69DxAz+8DbeFd0QV/u98kpHnn0Tbplo23PsokV2NOYq47wyPxVE/vYpRF50CwO43V/H2Fbf3uqTHO7yKw2+4BMNlUnbkeIKba5M6f+PrdWitUSrZUVkzMaqroknuJ3pFAeZulD0KFTkBpUKJx3UxSvtyGlq6vPHyBp58eBXxeHITwkPBGM/9J8AXvnp8hiITonBJoi6EyKiJ15zPuM+ezeb7n2bbI6/ihKOgFK5iL2M+9RFGLpyHYSXeiorHDaNo7LCCTtRdJT5GnH/ivr9XzZnK+CvOYePvnyDW2Nrtvu7qQUy5+TP4RlUD4L/xMnYvXkFsd/f7dVQ0sTT5JF0DsQlg1gKSqGeMAm3uANd6jNhRuY4mrQIf7OTZx1cTCac2z6Fhd1uaIxKif5BEXQiRcWaRhwlXfYwJV32sx20P+/rFvHvVHcSbCvOD2yzx7bvw2Ovwb1yKNaiUjb//D6Ft9Yd0wzF9Hrwjqphy8+cY9pFZ+x4vnTyGoWdNZ/u/F+OEeh6lLPaX4r9tegpRGxixo3F4H4zV0kc9k5SNdm1Bx6ah+lH16TOPraa1JfWLPNse2J2ehOiKJOpCiLxSPf9onFDhjurarSFa122jZNKB9fbjv7CAMZefwdYHXqTmgRexQ1GUAldJEeM+v4Dh585BmYfWJx91x5dwnBp2Prkdu7mLyZ4mlPjLOPaRebgrk+yeoRVG6AwMXGh7NNpandz+Imm204ph1qDsMbkOJS121bbQUN+3C2szlb7/QgwAkqgLIfLKmxffjBMt3O4jseY2QtvqD0nUIdEVZ9xnzmLcZ87q1bE0UbR7E0f97jjqX9zB+p+tJri+lXhjFMfWuIpdeIZ5GX7xWMZefRiu4hTe0p1ilK7Ett5Fu2qS318kzXQ5bNu6gtFD+kei/uaiTX0aTQcYVNk/6vSFSDdJ1IUQeSNS18juV5PrvZ5/VGqrgh7EMbfguN8FFQQFg08bzuDThhPZGSK4oQ0nYuMe4qVkSlkKE0c7MILYnufB3N37RXlEn7W2tvH6Bxs4Yf4EINF73HE0plkY5TBaa9pao7S1Rgis3NmnY3l9FqefOzlNkQnRv0iiLoTIG+9949cFvyqpVV6Mb3R1n47hmFtx3G+DcWirRc9QH56haRx9VA6YdVKXnmVtLZrXXtiAy2WweNEmgm1RHEdjGIqKqiJOO+dwDptS3beLsD7SWrNx7W4WL9pEW2sUy20w4bAqYlGbd96soXFPkHjM6fOv7OAhRYyfVJmeoIXoZyRRF0LkjfpF7+U6hD7zjaqmeNzwlPfXxBMj6Z0k6RkjSXpWRUKw/HWTup2t/Ov+5Yc831AfpGZLI0OGlnDFV46ntCz7q3YufX0zi55bT2NDkHBo/+TnD5Yn1y60J4ah+MxVx+X0gkSIfFYY99iEEAOCtgu79EJ5LMZ+7uw+HcNxrUuUu4h+q3G3IrC8+4WNIqE4Wzc1cu/PXiPYlt3J1U889AGP/L/3qd3WfECSnglFxW5c7sJe5EmITJJEXQiRPwp8UK1ipp/R7QsdpUq7NoIq7PIf0bVwCJa9ZqJ1737Yd+5o4R/3vZPRmLTW6Pb6lUXPrWXRs2uJRuyMnnMvw1QY0vFFiC5J6YsQIm8YLhM7UpgdX0qnjuO4v9/UaYvFpMjKoP1WJAyrl5m8/LiV1H61Nc20NEfSWgLT0hzmxafWsGZVHdFoYtTcNA1217VldZqI5TbxFSX3eggxkEiiLoTIGyMumMfWvz2b6zBSEm8L8fr534N4HEyTolHVHH7jpZRNHdfrY2g0EMpYjJ2csODvYuS7UBts/NBg53aDum2Kd191keyL3rgnxMtPr+WjF0/rczxaa556ZBXvLt5KU2MW50F0YeyEShlRF6IbkqgLIfLGEbdcQc0/X0DHk7ztbpkQy86t+q6ENu8ktHl/m7rm99dT/+p7FE8cyay/fBfvsJ67WtjWG+lpkdibBFyboN2gsnhhMAA4TiI537VN8fJ/LHZuNWjarXpd6tKVbVsb0xLfYw+sYOnrm4mEc/v7AlBS5uHMj0pbRiG6I4m6ECJvuIq8jLvyXDb+5rFEstkTQ3HM775ByaRRvHXpD4jUNmQ8xmTEW0I0LV/Hi3OuZtZfvkP1yTO63NZ2rQZrS3pGuO1BoCJghA49ngZ0ESo+Gm2PAc8LYBT2JN58sGub4rmHLbZtMAi2QiTU9+S8I8fuez3K+kAd7yzemhdJuuU2mHncaAYPKc51KELkNUnUhRB55YibP0esKUjN/3senG6SE9PgiNuuZMRHTwDguH/ezOIL/4dYQ0uWIu09JxThrYu/z6QbLmbyNz9xyPMajXatTc8kUseLEZsNTgXa3Ia2Au117xq0ibJHYsQmAxa25xVZ5KiPHAceuc9i1Tsu2pozV8Lh9vS9M8pzT64hFMz9HBCXpZgzbzznXnRErkMRIu9J1xchRN6Z8fMvc/wjt1I0bhjKZe4fFVagLBflMyZxyiu/YPxnz9q3T9mUsRSPHZabgHtp3R0P8t8Jl/L/27vzOLmqOu/jn3NvVW9JdzpLp7OSdAIcSCCEJewhQUBWEUVxm1EeQUdZRAF9cHABGRF5dBwdRdQZZ9TBwQXFAUcddEBAVgVkPywDykiaAAAgAElEQVQhEBLIvnXSS1Xd+/xxbydNp6u7qnqpul3f9+uVV6XvPbfq9O1TVb977jm/s+b2+96wPfTWgLdj6C8Q1ELQRFD7AEH97YQ1jwLdmOwM/I4TSXWeip9ZhKGGXPph8FdrjPoQ/fw7aR7908gG6X7KcOSytiE9x/ZtXax7bdsw1Whozv7bxbTtM5lHH3qVF5/bQDDQBblIlVOPuohUpMlHLuBND95IZusO1t/zV7Jbd1Db0syU5Yvxa/rPErH425/gwXdeRceqdaNc28LldnTyyIe+wqZzT+GAL30YgCC9Ymg920EK8IEAUnv+7qG3lVxqBWT3IZVZRM5shvSLCtKH6LnHPZ7+i0+2e2RP5ITmehYsKv0iNJPJ8YMbHmDblq5hrFXpbv3x47uG39TU+EyYVM9+B7Ry0hmWhnE1Za6dSGVRoC4iFS09YRwzzji6oLLj22aw5D8+w58/cC07X17LqOaZK0YQsPIHv6V26kT2+cQ7gSEMRwgNBM3gbwGTZ3EaQzRmPf0kWW8deNuGPsym9+FVGvDf9V9pOneO7I1pY2DZm/cuOTPKls0dXP/Z349aXvRC9B4j392dY/3r7ax/vZ1nnljLeRcfSUvr+DLWTqSyaOiLiIwJQTbHqz+/i79e8g2yOzujTDCVLBfw8g9+Q3ZHJ0P6KA5rwRsgSO/NAP46MCWm5QuBwN+dVabnXxXK5eCcj3Zx+T92cNE1HRy2PENhM6CLs+/CqRxz/LySju3szFRckD6QDWvb+f4/P0D79sro+RepBArURSTxMlvbue/MT/P4ZTew9bEX6F63BbpHdunz4dD52iZe/sFvMbkZEJb6cRyCV8TvOqTg2oDJVW1w3pvvQ/NkmDItZNb8kLeem2Fm2/BOzJ02s5HzLj6q5ON//L0/JyZI77F+bTu3/ezJcldDpGIoUBeRRMt1dvPAu65my1+eI+hM3qqea351L152HoQNxR8cjPaKjqGC9DzSNTCxZfh61OfOn8THP3N8yUNestmA559dP2z1GU0rX9hIpszrIohUCgXqIpJoL3z952x9/MVyV6Nkuc5uDClMrjUab16o0EB2fjT2fLQoSB/Q8W/N0DB+eHrVZ89tJpUq/Sv6sYdWkelOZurNzZs6eOKRNeWuhkhFUKAuIokVhiGv3X4/5JIZkACYuMfU6z4MgsmFDXMODXQdghdMHr3guULn5VaSmW0hzVOG50Q9+9S6IaUtXPlCZS3+VYwgF7L+9fZyV0OkIihQF5HE2nT/U3Ss2VDuagxJalw9AAYfv/MEyM2EoK7/wiGQq8d0nEoqZzFhHYSjNGlWvekFefv53TRNHPqF4872bjasKz1YzSU8N7kpcciPyFijQF1EEmvbMy+Ta+8odzVKZmpSzP3gabt/xifVtQy/882YTBvkmiFohGACZFvxOo/H7zwLP2yODgimlDa2XUbMrHkh776om6ZJQwvWs7mArs7SJ0S3TEtuisN02mPGzKZyV0OkIihQF5HkSvCQF4D6mS1MP/OYPbabcDx+91GkOk8j1fEWUh2n43cdD6aToOZ+srV/JFfzAKG3GXItZai5DGTe/gHvv3Rocwd836O2tvSlTo44Zg41tRWeojSP5kn17H9QZa8yLDJatOCRiCTWuPnT8WrTBF1DWDCoTNKTmlhw9QfxUgMHUyEBQfoxwtRqMDt2rWAaAqH/KoR1UfYXL3nnYCyryTN6qVDjxqWZPHVc6cc31jJ77kRedMkbGrbP/lPxffUjioB61EUkwaYct5j6WcnrUa5tncgBX/oQ005eMmC5kBy52jsJ08+Bt31XkL6L1w3+NiDUZM8Ks2710L5e910w9GD17e87iLqG0U7hOTSTW8Zx2tkLyl0NkYqhHnURSSwvnWLK0kXseLHCUrn5Hk0L5tL+3CrCbI4wDDG+T23rRFpPPJS9P/5O6qdPHvRpgtr74pVEB4nCvawC9QqSycAfbin96zWd9jjhNFvy8a++soU7bnuWDet2UFvj09WRIUxA+/B9w0VXHEddXbIuLkRGkgJ1EUk0e8X7eOU//0BYScNfcgF1rRNZesdX6XhlHZntO/Ab6miYPRUvXdjHbmjaCb31gwfpPZQko2J0tMNrr5Q+PrymNoXnF/8H3dHexbeuv4e1a7axc0cFvR8KYAxc8KljeeIvq/nNrc/Q3Z3FGMOUqeP44EVHMmlK6cOARJJMgbqIJFrNxEYaZk1lx4ury12VN9j6+AqC7iwNc1pLOj5IPwle5zDXSkZaGMIDd+T/ap0yLWDHdkPHjvyB+I72bu763fOc8Y4DCn7dnTu6ufbK/+HVl7cUVd9KMW1GI9+87p4+Pf8hr6/ezrWfvoN0jcdln3sTU1qTm81GpBQaoy4iiec31Ja7Cnvo2rSVNb+8p+TjQy+5C9ZUs83r4b7/6X/oRuusgI9c1clHPt/J+KaB75S89PzGol73xq/dm9gg3fPgtdXbBxyek+kOuO4zv2fVSr0vpLooUBeRxGvcb6+Re3JT4piSbMDWx18YwuvmSj9Wymbtao/Onb3bTEjzlIAFh2bjAB1aZ4V84JOdDDSxIJcrfFD5tq2drHppc+mVLrOgiCyr37j2bjIZvTekemjoi4gk3uSli1j9s7uKP9AzpMY34NWlmXnWUvZ++7E8e8OttL8WBT3piY10bdjK1keeK6leQXYoAYUGnSdNGEJdQ8iCw7J07TQYD2bvnWPpaVka+ozYmDItZN7+OVY80//XsJ8qvB/tzt88z6aNO4dS9cQIQ/jZDx/lvecdVu6qiIwKBeoiknibH3y6pOPqZ7VwwsPf3fVzS0sjs958GOvXb9+1bcvjL3LvyZdDsUuyG8O4udNLqhcAYeUN55H+9fQIex602ZA22z3oMfXj4PizsnkD9TltEwt+/VdfSeaQl3StT6ar+IvZRx98VYG6VA0NfRGRxMtsK603McwFg/Z6Ny+az/i9Zxb93HUzpzD7PSeUVC8AL7M/hMlcWbKa5LKwfk0UpBdrYkv/F3/NE+s5/tR9C36eoNiLyDIzHkxuacD3SrtrFIbQ2ZmsrDYipVKgLiKJVzOhtNRtxvcGXRkUYPENl+LV1xT13E12L2omNpZULwCTmwlhEb9XsmK1McNPQUuJN058H/r+4YyB2W3NNDYVfkcllbBVPBcfNpPLry79IhZgw9r2YaqNSGVL1rtbRKQfM95+HKmmhqKPq5s2+KJDAM0HzqNl+cFQYEBUP6uFhdeeX3R9ejMYvM6jIagv8IiUgvUy8Uq88ZHLQe+5CMbArLnNRQ/rOGjJTFJFjGkvJ2Ng/0XTSKf9IV1gNE2oG8ZaiVSuZLyzRUQGMPnoA6ibMaWoY/yGOuZfcFbB5Q/93idpOe4gvLqBe9brZ0/l4BsvG9r49JgXTsLrOg6CRgjzfFwHachNwdt5Jia3FwQKYJKifdvuIH3CxDoWLp7OBZcvJV1TXOS/5Ji9ErMgUBjCr295ilUvb2befsW9Z3sbX8QdB5EkU6AuIolnjGHu+08h1Vh4r3rDnFZaT15ScHkvneLwH3+W/T/3AZoWziU1YXcaD5PyaJjTyoy3LeXoW7/IpCX7FVX/AV83mIzfcTpe1xGQmwzBeAgaosfsdLyuZfidJ+FRh991LH7nSZjMXAi1DHsl6+6Gpx72mL13jmNObOGSK5dz7gVHFB2kA6TTPkuO3oua2mTkh9i6uZOb//UR3nXuwSUd3zypHq+USQEiCZSMd7WIyCDmnncaW59cwZr/+hO59o4ByzbMncbh//EZTJFf9sbzaDvvdNrOO50tj73A1r++QHZnFw2zWph6wqEjtvCSwcPk2vBybQCEhJg86RtN2IjXfQQ5/3YwmnBXqWpq4PT3ZSEEv3NfzBDvhLzzbw9mw7p2Hn34VboHyKRiDAMuLDRaNm/cyYrnNjFhYi1bN3cVdewHLz5yhGolUnkUqIvImLHoHy+kbvpkVt9yNx1r1hN2Z9+wv6almXHzpnPIdy6nfnph49PzaV68N82L9x7Sc5QqX5C+i7cRTHXk1U68sB6CobVFiO4qffSypdz0/Yd57OHVbNm4k0xm90pCfspj4qR6QkI2rit/2+juznHX757nU184ic9ccjthgYseLVjUyoxZE0a2ciIVRIG6iIwZxhjsp97D3pe8g1U3/4E1t9xNkMlgPI+GOdPY5/J3MX7ejHJXc8QFZieYCug2lYGFYLIzMcM0CtUYw8ln7s+Jp1sef2QNjz6wiu7uHKm0x8KDprPk6L245aa/snHdK8PyekPVvrWT2roUn//KqVzzqd+Ryw4crR+weBrnXqjedKkuCtRFZMzxa9PM/cApzP3AKeWuSnl47VEGGC1uWtnCRrzMAcP+tL7vcfCSWRy8ZNYe+/bZv4VHH3qVbKbALuwRtH17NORlfGMtX/72mfzpzhXc9rMn96hb6/RGzvvYkYmZMCsynBSoi4iMMWGQUpBeboNdKAWNeJ3LMRSXn3+oDjpsJnfc9izr1+4Y1dftT6b7jWPpjzl+HsccPw+AXC7A8wzGqCFLdStroG6tHQ88ARjn3Nx+9k8CvgCcAUwFngGud879ZDTrKSKSJIY6pVQvp9CD3BTwOsDsABPs3h42YHJT8LoPwTD6qTR932O/A6axacMKcrnytpKa2vwZbvyELeIkMlLK3aP+JWAu8HLfHdbaccAdwMHAT4FXgLOBm621Lc65b45iPUVEEsMEjVFmD3VGlkfYgN/1pui//quE3hYgxAQTMLnZGEpcIWmYnPGOhbz68hZWrthY8CTOgZSaSWZ8k3L+iwymbJes1tpjgAsHKHIJcAhwsXPu3c65TwGLgaeAL1trp45CNUVEEsfQgKL0Mglq8boXRyk18fBye+FnFuFnDsLLzS17kA5RBpgPX3o0+y1sZVxjaUNvaut89juglcVLZrLvgtK+jic0K1AXGUxZAnVrbR3wr8CfgG15il0ArAVu7NngnNsOfBFoAN47wtUUEUmkMExT/humVSiox+tejJfbq9w1GVQ67XPex47igk8uZdGhM0ilCg8H/JTHkqPncP4lR/E3H17COecezISJxQXddfUp3nTavsVWW6TqlKtH/WqiIS8fgj2HUlpr5wMzgXucc31Xbrgzflw2khUUEUmakCy59JMEdb8FtNjRqAiBYDwmMzdaITY3v9w1Kkrr9Ebe/5HDueKLJzJl6uBZVXzfMG+fyZz5rgN3bZvQXE/r9KaiXnfipAbm7zul6PqKVJtRD9SttYcClwH/4Jx7Nk+xnk+6F/vucM69DnQCuhQXEYmFdJGru4Mw/Tj42zTyZTQEKeheiN9xGn730ZhwfLlrVLLmSQ189PJj2attIuPG9z8cpnliHQctmcX5lxyF572xgb3v/EOZOq2w3795Uj3v+/BhyugiUoBRvTdqrU0D3weeBr48QNGeZdq25Nm/DRiWpclaWhqH42kkD53fkaNzO3KSdm7DMMuGzv+BcHO5q1I1DHWMq1lI4/jDyl2VNxhK221paeSar53Byys28aufPM7GDTvI5UJ832P/A1s57W0LaZrQ/xCXlpZGrvzSKXztmv9l7Wvb6OjI7lEmXeMzuWUcF33yOGbPnVhyPcslaZ8LSaJzm9+QA3Vr7UpgziDFvuWcuwj4NHAAcJRzbqD7sun4sSvP/i6iceoiIlUtF+5kc+cdZMMN5a5KVfBowPeaGJ86hLrU7HJXZ0TMmTeJj316edHHNU+s56qvnsaTj67h9l88xcb1O+J86B5NE2o56fT9OPzYuUWNhxepdsPRo/5LoGWQMg9ZaxcCVwJfd849NEj5jvgx33T0WmBYVmtYv377cDyN9NFzdazzO/x0bkdOks5tSJZc7X3gbQCvs9zVGbuCNGQOArMF/A0EJkMQ7GRz958x2U14uTkVkcmlktrutNlNnH/JUUC0cFHvnOibN5d/oaViVdK5HWuq6dyWetdgyIG6c+4Tg5Wx1vrAfcAa4LMFPG3P/dt8w1uaiDLCiIhUnZAsubo/gLdRY9FHXAbSj4Ppjn7sOd/eNkJ/HbnwCUy2DS9zIEZ/jD1o4SKRoRmtMeqzgcPj/7dba/vun2CtDYE/OueWA8/F29v6FrTWTgfqADcyVRURqWy52vsVpI8Ww+4gvd99OwjTTxOYdrzuoxSsi8iwGq1AfQtRSsb+XEGUxeWfgJUAzrlXrLWvAMdaaz3nXO+105bHj/ePTFVFRCpXSKeC9NFUyHk2AWFqFUE4AT+zcMSrJCLVY1QCdefcFuCq/vZZaz8ObHHO9d3/I6Ix7RcB34jLNsbbOuL9IiJVJUg/DWZnuashfZkcYeolwswC9aqLyLCp5KXrrgfOAb5urV1GlFP9bGAecLFzbn05KyciUg6hv0G96ZXK7CD0V2Nys8pdExEZIyp2lodzbhuwlCjv+lLgQqIhNO9xzn2znHUTESmfYPAiUh4mR5BaUe5aiMgYUvYededc8wD71gLnjWJ1REQkRL32JRtoiRARkeJUbI+6iIj0pyMKpEeSgvQhKH9OdREZOxSoi4gkROBtAJNRIF2pQjBZjU8XkeGjQF1EJCGC9JPgZctdDcknHIeX22P5DxGRkilQFxFJgJAAvK3lrobkE4LJzsRo6IuIDCMF6iIiiZBBGV8qVAgEk/Eyh5S7JiIyxpQ964uIiBRC/SplMVgGnNBArhW/azlGfyMRGWYK1EVEEiGFPrLLIKyD7BTw14PpZnfKHQ9yzXjdR+GFE8pZQxEZw/SpLyKSAAaDyU0l9LaXuyrVxWQwpDAdJ2O8DJCFsAbCJozS74jICNN9OhGRhPAyB0BQX+5qVBeTI0yvJKj/X8LQwwQtmHCCgnQRGRUK1EVEEsKE4zDZvSFIl7sq1cdrJ6i7m5DOctdERKqIAnURkQTxMwdishaCunJXpfp42wnST5S7FiJSRRSoi4gkjJ9ZhN95ImQnlbsqVSdMvR7ltBcRGQUK1EVEEsiETZjc3HJXo/qYHYTeunLXQkSqhAJ1EZGEMmH97myBMjpMQGjay10LEakSCtRFRBLK5KZHqQJllPnlroCIVAkF6iIiiZUGjZceXUENXthc7lqISJVQoC4iklRmW7lrUH3CBkwwsdy1EJEqoUBdRCShQm8nmFy5q1E9Qi/KYy8iMkoUqIuIJFWo1TFHTQjkpuIpUBeRUaRAXUQkoUw4XpNJR0OQhtx0/K5lGH1tisgoSpW7AiIiUpooUB8HdJW7KskXGnZnc/Hjnz0ImvAyCzHBVAy6gyEio0uBuohIgnkZS+A9pLHqQxHUYTqX4YeTCcmB6QJCCGsx+poUkTLSPTwRkQQzuTmQa9HCR6UK6vG6jsYPJwNg8DFhAyYcpyBdRMpOgbqISIIZPPyu4yA3DUItxFOU0MPrPAEvmFbumoiI9EuBuohIwhlS+F3H43UdHfWuB/UQeOplH1RAUPswoRaNEpEKpft6IiJjgMFgcrPxcrMJTQehaSeovR9Me7mrVrkM4K0j8Ffg55R2UUQqj3rURUTGGBPW4wUteJ3HJj/X+kjfFTAhYfr5EX4REZHSKFAXERmjwtQKMGNg/EtuEgR58sWHPgTjIdsa5Tsv5dc12wnN1iFVUURkJGjoi4jIGBQSEKZeK3c1hi5oJtV5CoG3gSD9JHjbgQDwIKzDy+yPyc3EYMjW/Rq8EgJukyX0tmNyE4a79iIiQ6JAXURkLDLbSPxCSKHB61wGgBdMwetaPsgBQ8klrwmlIlJ5NPRFRGQsMplkL4IUguk6Co9xRRxUenpKEzaUfKyIyEhRoC4iMialIEzwR3zQjJ+bW9wxYX2JL5aCYHKJx4qIjJwEf4qLiEheQRNQW+5alCZI4WUWFH2Yl9kPgiKz3IRAdi8MCc+OIyJjkgJ1EZExyOBjci3D94SjlTwm9DG5WZjcnKIPNcF0CMcXeZSH331o0a8lIjIaFKiLiIxRXubAaJXSoQoNDGePc76gP6jHZNvwuo8qqYfbYPC6D4egrsB6GEznUgzpol9LRGQ0KFAXERmjTDger3sxBEMYAhOmMF1HMqxfF4Zo/HwwLv7XhMnsjd95Mn734UMahuIFrXhdRw58gRICQQrTeRx+MLPk1xIRGWlKzygiMoZ5uTboThHUPAZmZ+GZYEKiPOWdJ2PwyIU1YDqGtW5+x5kjMjbcC2ZgOk4lSD9NmFoNdBClXzQQ1kBuLn5mASapY/hFpGooUBcRGeO83GxMx0xCfxVB+jkgQ5z/MH7MgAniISkehLWY7kV4uXm7A+mgEbzhDNRDIAsjNOzEUIefOYQwsxjMDjBZCFMQjtfEURFJDAXqIiJVwOBhcnPw+kzSDAnA20BoOgAfEzRj+pmQ6WUWEnibwcsMW42Gkve88FfxIGwcvcmwIiLDSIG6iEgVM3gQTB20j9kLphPmZhGaV4ZnIaUwHb22iIjkpUBdREQK4nUfSYBH6L8KXlfpTxQC2bZhq5eIyFil7gwRESmIweB3H4HfeRJkpwxhOImPnzlgOKsmIjImKVAXEZGimLCJVNebMZn9IChyMmhoMF2HYagZmcqJiIwhCtRFRKQkfuYQTOaAKCNMWMjXiY/pWoKfmz/idRMRGQs0Rl1ERErmZ/cnzFpC/2WC1Ivg7YzSIe4aF2MgTNOQ3pfGmkPZuGO4ssaIiIx9CtRFRGRIotSPbdHiSrFwV550D4PPhPGN8R4F6iIihVKgLiIiwy5aVGhkFjMSEakWGqMuIiIiIlKBFKiLiIiIiFQgBeoiIiIiIhVIgbqIiIiISAVSoC4iIiIiUoEUqIuIiIiIVCAF6iIiIiIiFUiBuoiIiIhIBVKgLiIiIiJSgRSoi4iIiIhUIAXqIiIiIiIVyIRhWO46iIiIiIhIH+pRFxERERGpQArURUREREQqkAJ1EREREZEKpEBdRERERKQCKVAXEREREalACtRFRERERCqQAnURERERkQqkQF1EREREpAIpUBcRERERqUAK1EVEREREKpACdRERERGRCqRAXURERESkAilQFxERERGpQKlyV2A0WGsvAv4ZmOic29LP/knAF4AzgKnAM8D1zrmf9FO2Afg08B5gJvAS8C3gBudcOGK/RAWz1p4L/NsgxV52zs3tdcy9wDF5yn7UOXfj8NRubLDWvkrU3vpzqnPut73KFtyeBay1JwL/F1gC1AErgB8CX3HOZfuUVbstgbU2BVwMfAhoA14j+sy4zjmXKWfdksJaOw24CjgdaAU2Ab8HPuecW9Gr3PnA9/I8zYPOuSNHuKqJZK39B+DKPLt/4px7d6+y7wc+AewLbAZ+SvR3aB/xiiaItbaQmOh459xdcXm13X6M+UDdWrsUuH6A/eOAO4CDid5srwBnAzdba1ucc9/sVdYHfgacBvw38HPgVOCbRF8+l4/Qr1HpHgOuzrPvzcBRwB/7bD8AcMDN/Rzz5+GrWvJZaycSBekPAr/tp8gLvcoW3J4FrLV/QxSUbwduAbYRtdkvAUdZa8/qcwGudluabwEfBu4F/ovoYucLwEHAO8pYr0SIg/SHgNlE7++bAQu8FzjVWnukc+75uPii+PHLQGefp3p1FKqbVIuALuC6fvY92fMfa+2ngWuBx4k6AA8kCtqPtNYud851j0JdkyJfXDAV+CiwDni213a13X6YMBy7ncDW2ncD/wo0xJv26FG31v498EXgIufct+JtjcD9RMF3m3NuXbz9vcBNRD1tn4y3pYmCp+OBg5xzT4z4L5YQ1to24K/AWmCxc25HvH0u0Z2IrznnLi1fDZPBWrscuBO4xDn3jUHKFtyeq521th5YTTQE8GDn3Evx9jTwK6KL8LOdc7+It89F7bZo1tqjgT8RdWyc45wLrbUG+Hfg/cBbnHO3l7GKFc9aeyPwd8Blzrl/7LX9fcB/ALc5586Mt90FHOicm1yOuiaVtXYlsMk5d8gAZfYCXgQeBpb13A2y1n4B+CxwsTpDBmetvY3oju8pzrnf9dp+F2q7exiTY9SttVOstb8A/pPoiu2FAYpfQBRI7rpl7ZzbThTsNBD1WPS4EMgSXU33lM0AnwEMcN4w/QpjxfeBRuBDPUF6rOeq+fHRr1IiFXO+imnP1e54YCLwLz1BOux6T/e8x0/tVV7ttjQXxo9X99ydiB8/DYTA+eWqWIK8DVgP/FPvjc65m4gCx5OttT3f5wcC6jAqgrW2CZjD4O/tvyMaiXBtnyFb1xLdjVNbHkQ8VPYM4N97B+kxtd1+jMlAnej29FlEPTYHE/Wa7cFaO59oSME9zrlcn913xo/L4rK1wOHAY865zX3KPgTs7CkrYK09C1gO/LRn/FkvCniKU9D5KqY9CwArgb8HftHPvq74cXyvbWq3pTkO2OCce7L3RufcGuA51CYHFA+5vBa4yjkX9FOkC6gBaqy1s4BJqI0Wq9D39nHx4xuGcjrnOonuWh5krZ0wzHUbM+I5fl8E2onmBfXep7abx1gdo/4ivYahWGvzlZvfq/wbOOdet9Z2Ek0WgehqO5WnbM5au6pX2aoW9+xcBwREdxv6WkTUk3aMtfZfiMZabia6Nf5559zW0aprQiwCNgLnxb0R84gm4/2IqGenJ6gspj1XPefc08DTeXa/LX58qtc2tdsixR0cs4jmV/RnZVTMtjjn1o9axRIkvuj+en/7rLX7AfsBLzrnOq21PQFn2lr7S6K5APXAfcBnnXMPjUadE6jnvE2x1t4BHBb//AfgSueci3+eD6yN71L2tTJ+3JdoaIzs6ePADOCafoZgqu3mMSZ71J1zqwocK94zDmqPTDCxbcCEAstuBRri7AbV7gyiIObWXhOceltENFToGuARolne64FLgHvj25DCrouehUTt71LgLqJ5F1ngc8Cve7W5Ytqz5GGt3Z+oLXYBP+i1S+22eJPix4E+N0HtsmjxZ8M3ib7Hvxtv7gl2PkIU5Pwb0eTTE4B7rLUnj3Y9E6LnvH2S6HPye+TmElAAAAcRSURBVEQXl2cDD1prF8f7J6O2XBJrbQ1R5qdOokm4fant5pGYoDKe6DFnkGLfcs5dVMTTpuPHrjz7u9g9EbWQshCldxsTKZqGcM4/Fj9+pZ/n9Ig+6B4DznDOre61/QaiMYBXEQWlY1ah55YoKHyeqOf2bT2Toa21dUQZiM4gGpf+DYprz2PWUD4r4tuv/010ni51zq2Kt6vdlqaYz00pUDwZ9ztEQcyf2T123QNeJuoFvqlX+WVEvcP/Zq2dFw/VkN1yROft3N5DNXtN1v0+cAhRe1ZbLs05wDTgu3nunqnt5pGYQB34JdAySJlib410xI81efbXAjuKKBsSjVUfK4o+59bamcCbgKecc/f3LRyPsdwjF6pzLrDWXg78LVGO+rEe8BR0bp1za4HFfXfEt7k/RhSov4coUC+mPY9lJX1WWGv3JurBmQt8xzn3tZ59arclK6RNQnW0y2ER30H7HnAuUc7/t/akBHTOXUuvZAc9nHN/tNbeRJRlZxnQdxJfVXPOXcjuSc+9t99krf0wcJyNxtB2oLZcqvfHj/3mSVfbzS8xgbpz7hMj8LQ9k0Lz3apqIsqgUUjZCUB7nsk+iVTiOX8L0fCAn5fweu3W2ueAxdbaeudcx6AHJdRwtGfn3EvW2s1EaRehuPY8ZpVybq21S4BfEwX4NxLdpSj09aqm3ZZgK9FclYE+N3vKySDiyXg9a3k8D5wYT8otxCNEwU7bYAXlDR4hmkTaRvQZq7ZcpHhY4HJgpXOulPUmqrrtJiZQHyHPxY97/PGttdOJbmH1TCJZCXTnKesTLUSRb2JaNTk9frylv53W2mZgAVEWiOf6KVJP9MWuRSMAa+1UovH+K3uGYfTaZ4ja6LZ4UzHtWWLW2pOIeuHHEU3O3WN1QrXb0jjnuq21L5P/C7aN6JxuGsVqJVK88NlvgCOAR4lyUK/rU+YQYLxz7u5+nqI+fqy6oQMDie9QHAx4zrn+Jj33Pm/PAcvyXJC3EX0G9Dcvq9qdRDRsqL8MW4Da7kDG5GTSQjnnXiFaufHYXjloeyyPH++Py2aJJpccHC8g09vhRGNa9xjqUYWOADYPMJn3EKLFT/obvz6dKKPJo/2kF6xWZwB3E01y6utQog+wP0Nx7Vki1tojgVuJ3r8f7y9Ij6ndlu5eYJq19g0Zh6y1M4B9UJscVDwn5Xaiz9c/AsvzLFx2K3CntXZKP/uOjR+1gu4b+UTv7d/EnW67xJ0hRxNN3n+MqC17wNI+5eqIhsY9lScjTLXrGTbYXxDeQ203j6oO1GM/IkoftmtiWRyIX0k0Hu1Hvcr+kGgc2tW9yqaJJvxBnrFX1SKeiNfCwG+me4HXgdPiSSI9x9YQZTBIE02ilMjtRO3w/9heeUbjW4k9Kdt6n69i2nNVs9aOB37C7omj/abAi6ndlu6H8eO1PReQcQD0JaJhct/Nd6Dsci1RwHg/cKpzbluecj8j+l6/Nj7HAFhr30l0t/Puvvnsq12c3vY2osXPruiz+zKiRXh+HE/kv4lo4ulVcerRHn9PNLRQbbl/B8ePA6WtVNvNw4RhWO46jLh4WdplwMSerBm99jURBZb7EN2WeZEoJdM8+iwHHF9t3030gfl74C/AKcBBwFecc/31elaNOIC5C/i2cy7vGF9r7RlEQw1C4KdEOcJPAvYHbgbe27OCoYC19iPAt4myCf2EKLvAGcBewJedc1f0Kltwe6521tpLga8Cm+g/XRjAs865m+PyarclstbeDLyLaBLvnUSfoUuJ5rKco/OWn7V2GlE2jBqi7COr8hS9jmh4231EbfJBogtMSxTovA4c65xbMdJ1Thpr7Vyii6BpRN/tfyW6Y7kceAZY6pzbGJe9jmixnmeIAvyFROf3T8AJvda1kJi19iWg1TmXN+tYPLxQbbcfVR+ox/tbiXos3kI0TvVZ4P/1fEH3KdtI1KN+DlFO1ReJgqhvj6WJpKWw1r6daGz6lfEM7oHKHgl8lmhRg56x098Dbqj289gfa+2pRF8OhxH1Qj4BfMM59+N+yhbcnquZtfZW4K2DFPuVc+6sXseo3ZYgvvN4BVGmkplEQ7R+BFyvwGZgNlrl+ZcFFJ3onNsSBzyfB94OTAc2EE2U/pxz7rWRq2myxRnLvkA0UXcysIboQvKa3ouZxb29F8T/5hMFkb8ArtaiZ/2z1m4DXnfODbjgntpu/6oiUBcRERERSRqNURcRERERqUAK1EVEREREKpACdRERERGRCqRAXURERESkAilQFxERERGpQArURUREREQqkAJ1EREREZEKpEBdRERERKQCKVAXEREREalACtRFRERERCqQAnURERERkQqkQF1EREREpAIpUBcRERERqUAK1EVEREREKpACdRERERGRCqRAXURERESkAilQFxERERGpQP8fqUqSzYG9O+AAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"image/png": {
"height": 248,
"width": 373
},
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"gmm_cluster_assignments = gmm.predict(drug_data_normalized_tsne2d)\n",
"plt.scatter(drug_data_normalized_tsne2d[:, 0], drug_data_normalized_tsne2d[:, 1],\n",
" c=gmm_cluster_assignments, cmap='Spectral')\n",
"plt.axis('equal')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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