542 lines
373 KiB
Plaintext
542 lines
373 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Image Compression with K-means Clustering"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {},
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"outputs": [],
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"source": [
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"%matplotlib inline\n",
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"import scipy.io #Used to load the OCTAVE *.mat files\n",
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"from random import sample #Used for random initialization\n",
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"import scipy.misc #Used to show matrix as an image\n",
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"import matplotlib.cm as cm #Used to display images in a specific colormap\n",
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"from scipy import linalg #Used for the \"SVD\" function\n",
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"import imageio"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## 1: Implementing K-means"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### 1.1: Finding closest centroids"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"#Read in data.mat\n",
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"datafile = 'data/data.mat'\n",
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"mat = scipy.io.loadmat( datafile )\n",
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"X = mat['X']\n",
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"\n",
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"#X is 300 points, each has two coordinates\n",
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"#IE the shape is (300,2)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"#Choose the number of centroids... K = 3\n",
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"K = 3\n",
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"#Choose the initial centroids matching ex7.m assignment script\n",
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"initial_centroids = np.array([[3,3],[6,2],[8,5]])"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"#Visualizing the data\n",
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"def plotData(myX,mycentroids,myidxs = None):\n",
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" \"\"\"\n",
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" Fucntion to plot the data and color it accordingly.\n",
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" myidxs should be the latest iteraction index vector\n",
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" mycentroids should be a vector of centroids, one per iteration\n",
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" \"\"\"\n",
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" \n",
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" colors = ['b','g','gold','darkorange','salmon','olivedrab']\n",
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" \n",
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" assert myX[0].shape == mycentroids[0][0].shape\n",
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" assert mycentroids[-1].shape[0] <= len(colors)\n",
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"\n",
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" #If idxs is supplied, divide up X into colors\n",
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" if myidxs is not None:\n",
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" assert myidxs.shape[0] == myX.shape[0]\n",
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" subX = []\n",
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" for x in range(mycentroids[0].shape[0]):\n",
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" subX.append(np.array([myX[i] for i in range(myX.shape[0]) if myidxs[i] == x]))\n",
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" else:\n",
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" subX = [myX]\n",
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" \n",
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" fig = plt.figure(figsize=(7,5))\n",
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" for x in range(len(subX)):\n",
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" newX = subX[x]\n",
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" plt.plot(newX[:,0],newX[:,1],'o',color=colors[x],\n",
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" alpha=0.75, label='Data Points: Cluster %d'%x)\n",
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" plt.xlabel('x1',fontsize=14)\n",
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" plt.ylabel('x2',fontsize=14)\n",
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" plt.title('Plot of X Points',fontsize=16)\n",
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" plt.grid(True)\n",
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"\n",
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" #Drawing a history of centroid movement\n",
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" tempx, tempy = [], []\n",
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" for mycentroid in mycentroids:\n",
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" tempx.append(mycentroid[:,0])\n",
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" tempy.append(mycentroid[:,1])\n",
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" \n",
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" for x in range(len(tempx[0])):\n",
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" plt.plot(tempx, tempy, 'rx--', markersize=8)\n",
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"\n",
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" leg = plt.legend(loc=4, framealpha=0.5)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 504x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plotData(X,[initial_centroids])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def distSquared(point1, point2):\n",
|
|
" assert point1.shape == point2.shape\n",
|
|
" return np.sum(np.square(point2-point1))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def findClosestCentroids(myX, mycentroids):\n",
|
|
" \"\"\"\n",
|
|
" Function takes in the (m,n) X matrix\n",
|
|
" (where m is the # of points, n is # of features per point)\n",
|
|
" and the (K,n) centroid seed matrix\n",
|
|
" (where K is the # of centroids (clusters)\n",
|
|
" and returns a (m,1) vector of cluster indices \n",
|
|
" per point in X (0 through K-1)\n",
|
|
" \"\"\"\n",
|
|
" idxs = np.zeros((myX.shape[0],1))\n",
|
|
" \n",
|
|
" #Loop through each data point in X\n",
|
|
" for x in range(idxs.shape[0]):\n",
|
|
" mypoint = myX[x]\n",
|
|
" #Compare this point to each centroid,\n",
|
|
" #Keep track of shortest distance and index of shortest distance\n",
|
|
" mindist, idx = 9999999, 0\n",
|
|
" for i in range(mycentroids.shape[0]):\n",
|
|
" mycentroid = mycentroids[i]\n",
|
|
" distsquared = distSquared(mycentroid,mypoint)\n",
|
|
" if distsquared < mindist:\n",
|
|
" mindist = distsquared\n",
|
|
" idx = i\n",
|
|
" #With the best index found, modify the result idx vector\n",
|
|
" idxs[x] = idx\n",
|
|
" \n",
|
|
" return idxs"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[0. 2. 1.]\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"idxs = findClosestCentroids(X,initial_centroids)\n",
|
|
"\n",
|
|
"#you should see the output [1 3 2] corresponding to the \n",
|
|
"#centroid assignments for the first 3 examples.\n",
|
|
"#Note my indices start at 0, so I should see [0, 2, 1]\n",
|
|
"print(idxs[:3].flatten())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 504x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plotData(X,[initial_centroids],idxs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### 1.2: Computing centroid means"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def computeCentroids(myX, myidxs):\n",
|
|
" \"\"\"\n",
|
|
" Function takes in the X matrix and the index vector\n",
|
|
" and computes a new centroid matrix.\n",
|
|
" \"\"\"\n",
|
|
" subX = []\n",
|
|
" for x in range(len(np.unique(myidxs))):\n",
|
|
" subX.append(np.array([myX[i] for i in range(myX.shape[0]) if myidxs[i] == x]))\n",
|
|
" return np.array([np.mean(thisX,axis=0) for thisX in subX])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## 2: K-means on example dataset"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def runKMeans(myX, initial_centroids, K, n_iter):\n",
|
|
" \"\"\"\n",
|
|
" Function that actually does the iterations\n",
|
|
" \"\"\"\n",
|
|
" centroid_history = []\n",
|
|
" current_centroids = initial_centroids\n",
|
|
" for myiter in range(n_iter):\n",
|
|
" centroid_history.append(current_centroids)\n",
|
|
" idxs = findClosestCentroids(myX,current_centroids)\n",
|
|
" current_centroids = computeCentroids(myX,idxs)\n",
|
|
" \n",
|
|
" return idxs, centroid_history"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"idxs, centroid_history = runKMeans(X,initial_centroids,K=3,n_iter=10)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 504x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plotData(X,centroid_history,idxs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## 3: Random initialization"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def chooseKRandomCentroids(myX, K):\n",
|
|
" rand_indices = sample(range(0,myX.shape[0]),K)\n",
|
|
" return np.array([myX[i] for i in rand_indices])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 504x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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7He+Q6zv3XBE2iGRfBoMiftXVqYm0xssUJX9RccswqSQpZCpGk47lkUqfqYw91SSMmprIStxhcZk5EyZNSs1CSmYdhq/Z7YbTTpN91soYZs4U1+TSpclFurY21qqG3IuX5dpcPkUZi6i4ZZhsTuodiuUx0IMzlbGnc33hlbj37YOnn0691NZA1mH0NRcWwkUXyU9VlbS/ejWsX59YgO+8M/dLZWk5L0XJDLrkTYaprpYHUllZZN9IJimks6xL/IKhLS1SIWT6dLGmjh0TK2fWrORjT3R9f1wfyhBZuQLq62M7DWWP1MyfT8327aeMp65OhLG6WqyqmppY6xAi27q6yPUOdM1f/GLs8jogAvzqqyKAydrNBQa69i99afTGpShjjaxabsaYt4wxW40xm40xG7PZd7aIdxUeOCAlp7ZuHZ6LKROuqniXot8vFUJ27BAxmDgR9u+XtP1kbs7w9R04ICW5XnoJLGAA1qyBlSv7j/3byy+PnHjFFadcTzILpalJsh+3bImU/urrS936TRaLhNwvlaXlvBQlM4yGW/Jya+07rbWLR6HvESfabbZ3rzy0Z8yA008fuospWgicTnjxRbjqKliyJL22tmyRMYUFY8+eyLpqDodUI6mqkiokydyHNTWSDdrSIuLn90OR2xJERK5f4IyJ/ONasYKGD9fHiPOddyYvDRYMRiqquN2y3b071lociGSxyHPOOVX0Dh0SizVX4lsDJQmFK77kylgVJZfRmNsIEE7eOO88cYPNmjW8aiRhi8vnEwEIBOSh/+abqYtlQ4MUPg4nY3i98tAMBGJT62fOlCokAyVYrF8vwud2y7nFxVBWFCdwYULCFm+lbd4s1lhbG2zfLhO9vV54++3INcaTajWTZLHI++8/1apubpYkl1yJbyUT5qVLYyu+5MJYFSWXyba4WeBZY8wmY8wtWe4762TKxRRuJ7qMlssVsppSFMu6OrEgjRHhcDrld69XLLYwqcQHm5pElMJjMUayFEsLY2tr9U2bBvX1CTMsCwtFWJqaRLTDGCPX5XRKmz6fbOfNg5MnU79nibJD40XvxAmYMyf25cPnE+txtKyjZMK8fn2k4osuraMog5PthJJLrbWHjDHTgD8YY7Zba9dHHxASvVsApk+fTmNjY9YG19nZmdH+Jk48l5YWD8XFETOku9tJRYWXxsZtabfT1VWCyxXE74dAwOB2B/H7u9i2zUNj4yv9x2/aNImf/3w2hw8XMWNGD9dee4Bt285i0iQvM2a4aG0toLfXSUGBxet10NvbSXt7gJ4eJ319Tv7hH3bR2Hh8wPHs2VMe6l/2BQKGzl43ELLegIKjRzn4oQ+xbdtaJk3ycjzU5MmTLny+Qnp6Iv/8AoGwSAbweh309cGCBSeS3rdE17hoUfIxh3G5IokZN954EcXFkXF1dLhobi4GYObMk+za5eSTn3RTXu6lp8eVVj/DIXqMYbZtu4iyMi/Hj7f377OWU757JXUy/f/7eCfX7qex8ZVss9WxMfcAndbah5Ids3jxYrtxY/byThobG1m2bFlG2mpokLjS5s1ipZx+urjxenrSnygcjrkdPBhx1wWDUkrL5ZK3+3XrYo8tKhJrr6tL+iwrE4soOm7V0SHnT5lyasbiYOO55hoZi8cj2+OdkRhb2HsYTjRZV7WCe6bVU1YWu0JBWBjDGCMuzkBAXJYXXhh7DdEVUhJdY7r3dfny2MzPLVuknaIicSm3t0uyTUEBnH/+0PvJBMuXw65dJ5k5c0L/vo6O2O9eSY9M/v+uZO9+GmM2pZKzkTW3pDGmxBhTFv4deA+QuvmS40RnM15yiaTYBwLiTjNG4kou19AejGFX1fz5IgoOhyxD43Kdms2YbJK1tYljOfffL+dXV4vA1dUN7oqrqYG77hLXYXd3rLC9tmSFfFBZSTC076rmNfxr00o6OsS1GgiIsMXH0IyRUl0g15ps/l6mVlaIj291d8sYNnYuYNXOlTQ3xybclJXB3UdXMv/qBel1lAGiK75oqTBFGZxsxtymAy8aY/4KvAz81lr7+yz2P2LEp7Xv2CEp9n6/WEUXXCBlo8LLxQwlrb+mBjZsgN/+Fv72b+WBmyibMVmcr6MjcSwHhjZp+Lbb4Lrr5EFrECvtiaIVfOpkPQ2/98Phw/zpj38E5PMPljxPZaXEzfr6pI14p0G4wv/06fDII8krh2Symn/0PSkrk4Sav065gg8dWsPX2lfS2yuCu2ULfHbLSj56bA1/cl8xeOMZJrrii5YKU5TByVrMzVrbBJyfrf6ySfzEW59P3vibm6UCP0QevokmUq9aldqDKtmk52gGmkSeaPLz8uUDT5geaCxPPSVuyQqPJRAQcZrpjTs3pGAlQG0DvPCCjCfZum6TJ8Njjw3cdyYmysffy4cflv2rVsH9E+vpOAmf7VxDIABfdNTzwPGVfDy4hp9MWMFTl9ZzfepdZYxFi47zr/86Ch0ryhhEpwJkgHhLorAw1sUGkYfvUF1q6RQsTqfSffzY29tl3x/+MLBVWVcnlqnHI9fqcsn1nGj18j+/dcGVVyY8p7JSjo93SbpcMo61awcuy7V8uUyI37FDXJxDcdElu5cgLxkuF9zQVc8aVrCSNewLzuKW4BoedaxgRbBeXYGKMgZQccsA8RNvZ8+WB3945evoh+9QXWrpFCxOp95k9Njb22HXLhHl0tKBXZSyXlvsfDSnE8q6W3ARkOyXBOfMnCkFj+MFrqBA4niJVipYvlxS9q+5BnbulOScGTNkfHv3pu+iq6uT2OXevbKi99698nfY4lzs3sxGFvFZvo8BZnOI/VTxeUc9FRXqCswJOhugeTk0LZRtp074U2LR2pIZoLY28uZfUiJZkdOmyQO4tTXWhThUl1pTU+J6iYlEMZ16k0uXyurVfn9kfpnTKQI9kIuyulqOP3gwcp7XC3Nch8AHFBayadMkHnoo4vorK5NrPe00mDBB3Lbd3bI/kcUW7cINTzg/eFAyKmfNkjaGki24ZYtMFnc4IhPaDx2CyR17oeRcHunuxkD/pPQjTGcOzXwnuJLfvKN+kNaVEaezAY6uAkcROKdCoEX+ZjWU6puHIqjllgESWUuPPy51F+MTIoa6QOZIrBrd0CBrz1VWRlLwfT5J6KiokGOSCWhtrQjDrFmy7esTgfvcR48CcNxXckpFjSNH5P50dEgdy7lzZfxr10qb8Uk20dZqb6+4QB0OEcWBxjYYvb0S83O54EPe/8ePej+KtdDkmwN9fZx0T+Y198UY4AfOFSyY2MKjjhXcElxDvVk5aPvKCNNeJ8LmKAPjkK2jSPYrSggVtwSkk80YvSgmxC7smYihLpA5EqtGh8Vj9myZ11VeLu7BE5G500kFNHwd8+bJNVx5pSxrc+27jwCw52jpKRU1pkwRazbVjM0tWyIu3MLCSGWVcCxzqOI+x32Q3/TWcPS4myd7PsbV/p8zMdBGUakT+vo48d6P8U7fy/xkwgpun1hPXx98qbie15asYM662OLQmUDXb0sTXxOYON++KZH9ihJC3ZJxpJPNONTMx3TchtHnrF49eLZkOsS7OmfPlgnW3d0ioOFJy8kENOF1POEGh4Pd/tMoKootEFlSIqL20kuxpyTL2GxtlTGUlUXGFq6FOWRxf9/7eOXQ7/unLzSZudxV/E3KZlYwbx7gdDJn1/PsX76Cp2w906Pu9YU19bASeP75NDtNznCyZ8ct7mpxRZoo377tkv2KEkIttzjSyWbM1GTiVEm2mvaDD0qMr6BAtg8+mFp78a7OigpJ+CgrG8ZcqhtvhECA/7r0UXp6nLS3R5au2bxZ4mTxJEuyKSqKWKuTJsnYnE4ZX8pj+/OfZZLhfffJ30uXEigs4aflKzh7bh8XlTfxy8A1HD4s8UcAtm9nzm/qE8+zq6+XGfkZItv/hvKC8loI9kCwA2xQtsEe2a8oIVTc4kgnmzEX1t568EH46lehs1Msms5O+TsVgUvk6vR4JAY20KoAqVBbCydOuNmxQ+JxDockbhw+fKrbLVk88R3viHXhzp8vrs99+wYZW2enVD8uKoJ3vxu2bYMf/lA+u/12XD2dNH+5noOtHrq75bAZMyT+mG2XYC78GxpzlNbAtNXgrIRAq2ynaTKJEouKWxzpJG6MRJLHYMTHZx54QISjoCB2+1DSip0REsX/brhBrIYhx39WrgSHg5q9P6C83EtBgSRvhCv7T516qlUyUDwxmbWalEBAzMOf/lSCc9OnSyB0796Yw9avF7FcskTqRs6aNToW02j8G8oLSmugah1UvyFbFTYlDhW3ONJJ3BiJJI+BSDT5+MSJUydEu92xSSEDES0etbVivaRSiitpEsTevaJmfX309Lg4/3y4+GJJWKmoONUqCWdFdnTIKuBvvZWmO3TnTrHOiovFNHQ64W/+Bj78YVkFtaUFvvCFU8b8wguxS+3A6FhM2f43pCjjBRW3ONLJZhxq5uNQSRSfic4eDOPzSar9cNv3+6UKyDXXxApYQwPcdJOsCL5vn2xvuin0eWenHDR9OjNm9AxolUSL9dy5MlG7tDSFRJlAAG69VS5y/nyJq/X0wLPPyucvvgi/+EXMTYh/MXA6RRfbIyvIjIrFlO1/Q4oyXtBsyQSkk804lMzHoZJoIvecOWIs9fVFSn4Fg7K/oSFxhmeyjMvo9sPVSowRQyw6i+/OO+HoUZkn5naL1hw9KvtrfCE1mz6da689wA9/OAWIXZombJXE1+QctK5leC7AP/0T/OhHsm/iRPjsZ8U/63QmvXfxfZ12mojb3r3SxGCZoSNJNv8NKcp4QS23MUSi+ExFhRgvHk9kyZa5c8UCincpDlafMrr95max3oyRRJXoLL433oisBh6uK+lyyX56eqSBykoWLTo+oFWSUjJFWxtcfbUEE888U/Y9/DBcfrkcePw4fOMbAwpbor4qKqS5YFAtJkXJR1TcxhDJ4jPf+Y6EnRYtkuVwTjstcUr5YGnn0e2HNSoYlDlmECs88VX9+/+eNUuEZuZMYOCEkAGTKb71LZnXMHky/OpXEk8rLZWDJk6UuWZz56Z87xL1VVAAl102/MxQRVFyDxW3McRA8ZlUrKDBjoluP1xj8swzI6W4wsJzzjmRBUetlW0gIPtpaJAdYSEagHixLju6J+IavPNOuciiIvj0p8Us3bp1yPdOEzcUZXyhMbcxRrL4TCoFmVM5Jtx+2IXpdieuVnLzzRKX83rlmOnTZVXvdK9l9f/nxfvPn2fZgZ9QZLt549bHOKfmJinOWV0tufoZYCQqvCiKkruouOUJ8SsTJEqQSOWYMIOJwWOPJfls1qzIMuQDsWkTfOQj1OzbF9lXUcE5fzNJfr8+88uBauKGoowfVNzyhFQsk3Stl4HEIOazBQvgl1dATT3+thM4AwHOWQgTJ57Lz6asZM6u56Vk1cGD8Mc/wic/Keft2yeZKFdeCU88If5QRVGUDKDilkekYpmMiPVyxRWwZg37m2Fanx8HBqcTbnzlTqoCj7KteDHzyypwd7ZLJssnPynZLxs3ylZRFCXDqLgpw6deFvCsWrOGIA4shs+/uZJbAo8CcG73RizgLyzBdcMnI+epsCmKMkJotqSSGerr+emkFTgI4iDILYE1HGEqQRy8Yi7iowu3cvWVnfC97432SBVFGQeouCkZY+2l9VjAAAdMFWcV7WdSaYC/L3+Z1innaqV7RVGyhoqbkjHqzUoM0MxsZttmHuqrJRiEqiqtdK8oSnZRcVMyw8qVzFm3hublK7j24ma+b1ZwS/D7PF64EpdLJ0wripJdNKFEGT4rV8KaNbBiBXPq69kANDTU84tP9PDxo2soLYHCH9brHDNFUbKGipsyfJ5/Hlas6M+aBJlu0PizGzD/XcTy558HFTZFUbKIipsyfLZvT/5ZlOApiqJkC425KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYoysnQ2QPNyaFoo286G0R6RMg5QcVMUZeTobICjqyDQAs6psj26SgVOGXFU3BRFGTna68BRBI4yMA7ZOopkv6KMICpuiqKMHL4mMCWx+0yJ7FeUEUTFTRmQhgZYvhwWLpRtg3qTlHRwV4Ptit1nu2S/oowgWRc3Y4zTGPMsehOVAAAgAElEQVSaMWZdtvtW0qOhAVatgpYWmDpVtqtWqcApaVBeC8EeCHaADco22CP7FWUEGQ3LbRXw5ij0q6RJXR0UFUFZGTgcsi0qkv2KkhKlNTBtNTgrIdAq22mrZb+ijCBZrS1pjJkNXAV8Dbg1m30r6dPUJBZbNCUl6KKjSnqU1qiYKVkn24WT64DbgLJkBxhjbgFuAZg+fTqNjY3ZGRnQ2dmZ1f5ynYkTz6WlxUNxcaB/X3e3k4oKL42N2wY9X+9nZtH7mVn0fmaWXLufxlqbnY6MWQ6831q70hizDPiStXb5QOcsXrzYbty4MSvjA2hsbGTZsmVZ6y/XCcfciorEYuvqkkVHV68mpbXZ9H5mFr2fmUXvZ2bJ1v00xmyy1i4e7LhsxtwuBT5ojHkLeAq4whjz4yz2r6RJTY0IWWUltLbKNlVhUxRFGU2y5pa01t4O3A4QZbl9Mlv9K0OjpkbFTFGUsYfOc1MURVHyjlFZidta2wg0jkbfiqIoSv6jlpuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKIqSd6i4KYqiKHmHipuiKEq+0tkAzcuhaaFsOxtGe0RZQ8VNURQlH+lsgKOrwLsTfC3Q9RwcvAZaHxztkWUFFTdFUZR8pL0OrA/8B8H4wFEABKDtvnFhwam4KYqijDVScTf6msB/DIwDcAEG8AB+Eb48R8VNURRlLBF2NwZawDlVtkdXnSpw7mqwPYAzamcATLEIX57jGu0BKIqi5BWdDWIZ+ZpEYMprobQmc+2314GjCBxl8rcpi+wPb31NYCbI39aLWGwBIAjOChlXnqPipihK/jLSQhPffuFS6HhSxCfaqmJ15vr1NUnb0ZgS6N0ifYX7tl3gnACBk2D6xGJzVoDxyH3Ic9QtqShKbqeMh8e2+zTYNQ12zUltjKm674Yzrvj22+6TJA5HmcS6HGUiNpmMcbmrRbiisV1Ab8SiC/ftroKC86H4SnBNB898mJZBoc1h1HJTlPFO+CE9ktbGcMdmfeBvlZwIusC7Y/AxDuS+G8p1xVtp/tYE7fslicM9K3KeKclsjKu8NnTtobZtFwR7wBTJ39GYEgi2QtVLmet/jKCWm6KMd6JFYKSsjeGOLfA2OJxgCgAHBNoSjzHaAu1+AQJ9sZ8PJjTJLNhEc8b6XgFfW1z7xaEkjihsV2ZjXKU1Yn05KyHQKttpq6HgHYktunEQX0uEWm6KMt5JFsPJhYy68NhsLxh3aKcz9HfcGOMtUO9b4HsDfG5wlIBrNjjcyR/2A1mwMXPGHCKyQS8E9kFgAjjLQ0OrkASOYEesVTUlwzGu0prE1mciiy7TfY8R1HJTlPFOshhOLrzxh8dmCiHYB8FOsCdDQnModozRFmjgOJggYAGfCI5vJ/hakydTDGTBJpwzVijte/eCDYYEzQMVd51qVWXDvZvMohtt1/IooZaboox3ksVwcuGNv39shUB71AcO8DXDhM9EdkVboP4DgBsRod6QeDvBUZz8YT+QBeuuFhEzBVGfOYASIChi4q6We1ZaA9yW/JpGMoMzmUU3DlHLTVHGO7nwxp8s1hUem/Eh7+IuwCNuRvcc6F0faSPaArW9Yk3hRURtggiTryl5tuRAFmx5LRiXWIDWgvUDQXBVQvFlUP0GVK0b/J4NlsGZy1mrYwy13BRFGd03/sGyNUtrwDkFPGeHrKUQNhgbc4uxQAvBHo/8jpGfsJsx0bUms2BLlso5pgiCbYBfXJbOCom7+Y+JGKVihYVdn0Ef+LdFYomtd8rnuZq1OgZRy01RlNElnKzh3Qu9G0MxLF9sJmSqcUFTCn07INiNxNs8gCtiaTmrkifKJLJgy26QSdmBFig4W/ozBSJ+jgowBow/dSvM1yQZnL7docohbrAB6NssApdLWatj3IpUy01RlNGlb2tozpgzlBHpBd8BsH2R+FTfVkn/d1WCa+apccFo66/wQvm89/WQpecT6y2cLemsTD6WeAu2eXnsXDb3LKn6EW7DBJKXwUpkhZky8O8AHOLm7KcQvG/I2KMZrazVXJ77mCIqboqijC62JzQ5O/w4coloBI5HHrDu08Vi8h+WrMnC86KSNxCrx39QLL6wkLlng78FCuYPPVFmsGkSyT5LNoHcmtCEazdiWQbEvequlvNsV+RYGL2s1UxPgB8FVNwURRllCoGukOvQiRT4NeK2S2Y1Va2LnN7ZIG494xG9sCfA2x6q1lEox4czE6ekmZnorharJZngJPssmSgGW6HgAvC+GRFiT5VYcZ5zZDpB+NjRzFrN5bmPKaIxN0XJZ3IpbpJsLIXniavReBAXoif0tytxOan4B2x7XSiBxA/0hg8E2y1/l9emns0YT3mtCEywIzKXLdgj+wf6zEyA3s3Q8xfo/jN0/0X+NhNg6v2hSd8uOd67V5JSpt4/+lmrYXJ57mOKpGS5GWMuBa5GJpr8l7W2OeqzcuAX1torRmaIiqIMiVyKmyQbS88N4N0Dvj2Ib7IYXKHK9Z5zErvpzAQRx7A11r0BMdnCwhZ+Z7fgmjE8V1ppDf0VShJafwk+A3Gf2h7AHzX2oOzveVWmE5hQBqcx8ne4v1xw++Xy3McUGdRyM8Z8AHgBWAp8EthmjLkq6hAPcFkK7RQaY142xvzVGPO6MebeoQ5aUZQUyKWakYnGYn3Qdg/43gIKEHHrkmSSshvEkom3jPzHRCDC88S8O8G+LSn1ErgDgrIxpSJu0ZaeCYlJtYdLvvvxWEs2/Nm558KCBZH9pTVi9T20DP5ud6z4hD+Ltgzb68A9FXGx2qgfxGX69h2ydZ0GRRdD4QVyfC7U8gyTC3Mfh0kqbsk7gX+31l5irV0I3AH8zBhzTZp99QFXWGvPB94J/L0xZkmabSiKkiq+ptTcepkkmesx0Vj8xyQj0uECR2FI+ErAUSCTsxM9YJ3T4b2H4Y6tMm3A9xaROJ0D7gXeB2BE/Ho3SyWT5uXQ+mCk770+Cn9+FD77MRmjMZHPXn8dXHFOrZUrYc0auCIFB1U43Z8+GVP/Stg+SYYhIOn/vt3gDxVeTvS9jLZLOZFwjyFSEbeFwI/Df1hrvwvcAPzYGPORVDuyQmfoT3fox6YxVkVR0iHbcZOBqm8kHEu4er4zaqdTLLrwgz7+ARtogUsC8FMv3NMH+BDXn4V7LTwFLAEwUnsSL7hOj6y1tvus/p6CAGvboezvYsd1zjkicCtXyt9hYVuxAurrB78P7moINCOP15DrsR8f4A7tcoTKhHHq95LOWnSjLYI5Siri1gtURO+w1v4C+DTwI+BjqXZmjHEaYzYDR4E/WGs3pDFWRVHSYaCEh5FgIDdoorEYF+KODEQ1EpA0+WQCbHvgngK4zglPBcRSg5CwBeEfCuHeiYAVC9A9D9xTQhmXobXW9i0Dkjz8JkwQYQMRNGNke/31qQkbRK61//095CbFyO+uqlBpMCvu1ETfS6ou5ZFekHUMY6wd2HgyxjwDPGetfTDBZx9DrDqntdZ5ysnJ25wEPA18wVq7Le6zW4BbAKZPn77oqaeeSrXZYdPZ2UlpaWnW+st39H5mlqHcz0meTcwu/jlFzsP0BGZwoPtajnsXjcj4Lpp8I0GcFDiO4TR9BGwBfcEpOAjwyttPnDKW497zmFX8KzyONixOLOAgiDc4iR0nb0s4zkumfBy34wQO44N7gpj/BmYAh8F+HLjb0BeYBlh6AzOItppKXHtwml5O+s7B5eig9Lw9GER+DBCsdNJ28WImvLAdh9eLs6en//O//Pd/4506lQUPPEDQ5WLPZz5DoLw86b24oGIlxc79OIwXY0Lz2YCgLaLDNw+Xo4NCRwvGBDnuPf+U7+WiyTfiDU4i1uqzeBzHeeXtJ/r3nDvpdjyONgK2uH+f03TjDVaw7fjXU/viMkS2/n+//PLLN1lrFw92XCridg1wmbU24eueMeY64LPW2svTGaAx5m6gy1r7ULJjFi9ebDdu3JhOs8OisbGRZcuWZa2/fEfvZ2ZJej9Hssp8KoT7734uVFLKI1YTAQj6oeB8mJtkJejOBmj9CnhD1pJnIUz9WvLxNy+XVbj37YariCRIzgCeD9liBYvBFbJigj5x/dnQgTYIhefA3E39ohbDp6rgR/sjrsiqKmhujrgknU4IhiwxjwMWeOCL58DH/yMy5gUL4N1nwR1NYm2ZEnGR+prhvgJ4yQfPLRRrLVmSRvNyGb8jKlM02HHqHL+mhWKxxdfcDLSKKzeLZOv/d2NMSuI2qFvSWvu0tbbWGPPhJIf8DPh9CgOaGrLYMMYUATXA9sHOUxRlAEbbLRXdv3Uhdk6fiEq/egzwAl1aI8I3v0N+5m4YWJjLa+F/e+TpERa2SuAwcG9IdLxvQOFSWbvNtzMkuEYe+s4JMHcTEHEWxvBfzZItGY6x7d8v2zVrRPD27oVrL4eJDvAGYUsvrHw1cs/vvhsuvRQeXwcPVEeSYRyT4b5CWHsSLvbKvYoWtvi4WeHS1FzKmYqr5mHcLp0KJT8xxvwE+KK1thvAGDMbcUsuAL4xyPkzgCeNMU5EVP/bWrtukHMURRmI0S6TFBMbCgLFISupF8wkcJ4OtiNz/X35f+C7ByN/XwfcXQj39koyCcC9Til27CiGoEcyMgmKdTPvaP+pDoBPzoSvzYPTGiNtvv46LJgTibGFt2vWyPZbxRC4AGwx/OQwdAflHvzidvj3kKfJ6RSBO/oBWPuwZGWuPQGfmAH3z4xUIoHEcwA7npTpEL3rB66ukon5aLk0HzKDpCNulwBrgc3GmOuBM4DvAS8B5w92srV2C3DBUAapKEoSRrtMUnT/phBZP60U8EnlkbArLVP88IeR329cAl/eJpVI7g45oZ4KSgHmrxXJ6gDuakm5N24kK7NPjjtzCr4Le/HcNwN8x2B7ISwImYJnFkDfYXnohx/uYYF7/nn4kkOu2eGAT8+W/TYIZxyED30Ifvc78Hpl/29+AxXrwGcjQhom/AKS7AWld32sCzIRg04yjyORC3u0X5BGiJTFzVq7xRizGKgH/oL4Gr5krX14pAanKMoguKtlInMgNJHZFIJzMnjmDX5upvoP11d0V4F3F5LxWBRxpQ1kRURX/bc9QKGIYnTcsLUVNm+Gv/s72LoVamrgfe8TwelsgIPXAEG4t1DMsZd6InPqfG+F4lGhR932UjBOKLqE/YdncabvaQgcA5ywqxo8c+DyDfCuAjh8vawjFxaB+npxTf7dj+C54ogIbGiH7zbBaz1wco/se/FF+bn9dhG2mZ5YYYt+ARnuC0qqVU2SWWjBTilMPdT+c5R0Cyefj1Qj2Q1UARcbY8qszaTfQVGUlClcCl0NoQe4WwTCtx8m3Jx+W9Fv9WYCkqreEXm4w6lv/dFuMcdEcM2SCiKmRCy2wayIo6tkXpu/NRSf65KEkbBb7M8BeP/7pTzVyZNwxhkS9wpTWiMrYYeTL8IJgsEOSU7p24wUUQpnLAbFVdq3lRlF22Q172AXYKSNQBksKYa1b0PQwD1+qf3Y/QL8x7nwxEvw4ctg70GYC3x6D/zpeGQ8BQUwfz6UlMC+fTLumYVwqBfu3BkRuOi42GDFmTNFMgst0Jo7qxFkkJQLJxtj7gLWA79CRG4RMB/Yaoz525EZnqIoA9K7XiwmUwT4Zeuukv3pEJ0Yghv6/greLWCdsu/wTdBy86mJKxBbRcQzDyruEusrvPRLsuSE8MM28HZoLbcCwCHrtjmK4N/+Gf7+7yU78QMfgGRp5snm8039GhS8Uyy1cEFm95lAH/hbKHQeEuHCidR4dEhG490WrnPAUxbuPQlHgKs6RdgAfvkCfCW02sB1JTC3GG67Hjo6oLcX/vpXePTRSFLKjt/A9eXw40Nwx45Tk0OyNR8xWcUaCrM7HzJLpGO5rQA+YK19NvT3DmPMu4D7gQZkNqaiKNnE1yQV9N2zI/tsMH2XUvRbvXeLlMSyQOAQuM8DuxuCFjxz5fjouEx0aaZ0khPC7jjbG4qJgVQo6YWP7oKNJ2XXN78Jt96afOyDxZ3C4zElYlX69gOWIG6ceCWb0hiwIcsXC3cDOOCnAfkJ4wCmu+DqpVD1XViJ/EQTnkZw03K4fT8c/SLcPw9okgQUhwvqfxgZX7pxs2QMNiUkmYUYdgMPt/8cIx1xO89aeyx6h7XWD3zZGPO/mR2WoigNexqo21BHU3sT1eXVXF54OctYFntQplxa0XGfaLHpnx/mi1SuD5Ns+ZlUkxP6xx5ORHEBATjhhk0nwGXgpVdgUQqTzpPFneKFI3gcKAHacRmfuB5xgfWI9Qgha/I43OOBF7pkmkEhUnZibjEUnA3OfbH9RAvLM/sl2eWOJgiERN52wX1ToegSeHHXqWMd6moAyVYqT/RSMVBmZa6sRpBBUnZLxgtb3Gdp+kAURRmIhj0NrHpmFS2dLUwtmUpLZwuP7HmEhj1xLr5MubSi50uZQiQ+FQj9johdv3UVIpGIplOsOTx252QIBuC1btjng8lTYe1p0Pyr5MKWzrys6PqUFmTlrv6LQOo9dku8cNbTMGOtuDLvCQnbDGRO3ZOAdZx6PfFzDZ9bEMri9J1aPutuC9szNL03ut9ABxCQyeKB44nLdeVBpf900MVKFSUDNOxpYPna5Sz87kKWr11+qgilSd2GOopcRZQVlOEwDsoKyihwFFC3Ia62YKYeWNEi6ZotlUXwgzM0J8tMlAU2MzmpODx2zzx43APXeeFqL3jmw/LHoPIDicc6nInrwROhX+JrkwRj79s9Ppk3dx3wfGj7FDKfLnpNuaaFklUZL2ThOpbRZDoDMcZK7pOYYnQx5kT9jfFK/+mg4qYowySRlbXqmVXDErim9iZKPLEWUJGjiKb2BA/HTDywokUSn5TM8pwHJiD7ZjwOlY8NLqLpWpKlNXBLAB4Kic7t9w5+DcNapy5UsDhxfRIRyM9+TIoyX+eMzJ+72xEq1uyHO16XhJuu58DXIpaS7wAEoixCUxy16kGITGcgRlvJ/da2M8qVPPYzHodDulMBFEWJI9rKAvq3dRvqqDljaG/G1eXVtHS29LcF0BPs4azyswY4a5ikEndJ6fMUkyN6eiS1//BhqejR0ADxtQkTJUkMZ16Yszw0ry0cPwxbcI6IOL7UDf/ggbs9snKB7QPrh7tDxZX+0idiYjyAT9ZmI5Rp6QwVU3ZWSKJKsGPkVrIe7hzDPEctN0UZJomsrBJPSWIrK0VqL6mlx99DR18HQRuko6+DvmAftZeMgYdVqpbk+vUibOXlcPRoYmFL5H40ZUOvpzjpS4SLXtr+tdYs4IGuP8h8tmfPgvsXAEERNULVTTzV8MAF8PsCOZ5QMgohkQt2Ry3n45EpESMZ34q2ksNzDHFG5hjmcTwtFVTcFGWYVJdX0+WNfdh2ebuoLh+6S6jmjBpWv3c1laWVtHa1UllayRfO+MKQLcGc4v/9PylP9d73wrPPQlsbVFScelwy92PghJTW6nkJereISzDVJJqpt4FrPuCIirqFFg81JUjMando95kh68wLzjIRC9shLsfoNegcBYBTjokWsqm3jWx8Kz7e6pknCTFn7c/7eFoqqFtSUYZJ7SW1rHpGUqxLPCV0ebvo8fcM28qqOaMmRswaGxuH1V5OcO218ItfSBWP7dulpFYyErkfA33g3wvu0yRhI9gt7r+Ku1J/mFd+B46uoqPTz4TCY6HYmJHSWyDC6d8ncUeHO3ZpmvZq8J8Aezw0NSJU2ssUSJZltgUlD1P4M4VabooyTBJZWavfuzo/rKxM4fXC3LkibA4HPJR0GccIiTIvA80S73LPgqLzoXgJFMxPryJLyOLxBiukriKF4DlL4mXOcrGAbCCxO7FwKQTfRqqaOJDElD5wlMtk7TxZLiYfUMtNUTJAvJWlRLFzJ5x/vpSmKi0Vi23WrMHPSzbp2LMg9rihpNiX1rDtuItlZzx06qKgDrfUq0xUkT9c7izQJlmJ1oGsX3dCqrfkyXIx+YBaboqijCz/+Z8ibOeeC8ePpyZskHgOX8EFIj7RDCflPd2pC+FyZ4XnQdHF4PCEamL6hzAtQRlJVNwURRkZ1q6V7de/LokjW7dKyn86xGdeTr0/s0V+050EH+8qtb2AjVRygbxYLiYfUHFTFCWzBAJw9tnwiU/Apz4l+wZKHIHUy2mNRAmpdCbBx1t6xi3xOXdV5JhxPnk6V9CYm6IomePgQcmE7OqCwkK4557Bz0lnJQEY3QzBUyapz4fAkdBk7+DITNZWhoRaboqiZIann4aqKhG2M86Azk7ZDsawymmNAtGW3twNA5clS6fAc74ySvdAxU1RlMzwrW/J3K+PfQx27049vpbOSgK5SDK35nAKPOcLo3gPVNwURRk6gUAkceRPf4LnnoOf/Sy9NtJZSWAsMdYs0pFgFO+BipuiKEOjtRUmT5bEkSeekH1XXJF+O5laky7XGOsWaSYYxXug4qYoSvr84Q9QWQknTsi8tY9/fOht5esimvlqkabDKN4DFTdFUdLjrrvgPe+BYBCuugoOHICiouG1mY+LaOarRZoOo3gPVNwURUmP731Ptt/4BqxLUKJqqORbZmG+WqTpMIr3QOe5KYoyOCdOyGKiH/mIZELu2AEXX5y59tOd65YtEi2Wms54tGr/qN0DtdwURRmYl16CKVNkuZq9e2HixMwKG+RmZqGm8o9pVNwURUnOgw/Cu94Ffj8sXSrL1qRDqq7GXMwszEXBVVJGxU1RlMRcdRX827/J71/5CrzwQnrnp2P55GJmYS4KrpIyKm6KopxKICCV/B0OmZh9333pt5GO5ZOLmYW5KLhKyqi4KYoSYds2ibE5nfDKK9DSMrSJ2ZCe5ZOLmYW5KLhKymi2pKIowve/D//8z+ByyeKi73zn8NpzV4sr0kStcj2Q5ZNrmYWnrABQLdX+c2mMSlJU3BRFgeuui9SE/Nzn0l9UNBHltaF0fsRiG4vLweSa4Copo+KmKOOZQEDWX9uzB4yB//kf+OAHM9O2Wj7KKKLipijjmTffFGErKZGJ2bNmZbZ9tXyUUSJrCSXGmCpjzB+NMW8aY143xqzKVt+KosTx9NPQ1gbnnisp/uECyIqSJ2QzW9IP/Ku19mxgCfA5Y8zCLPavKArAZz4DH/4wnH22/L10aWZibIqSQ2TNLWmtPQwcDv3eYYx5E5gFvJGtMSjKuCYQkAzIbdskvvbNb472iBRlxBiVmJsx5nTgAmDDaPSvKOOOgwdhwQLo7ISCAtiyBebNG+1RKcqIYay12e3QmFLgBeBr1tpfJvj8FuAWgOnTpy966qmnsja2zs5OSktLs9ZfvqP3M7MM537O+PWvmfftb9NbWcmGJ58EjyfDoxt76L/PzJKt+3n55ZdvstYuHuy4rIqbMcYNrAOesdZ+a7DjFy9ebDdu3DjyAwvR2NjIsmXLstZfvqP3M7MM6X4+8QR86lMSU1u/XuJrCqD/PjNNtu6nMSYlcctmtqQBHgfeTEXYFEUZJhdfDP/4j3DllfK3CpsyjshmtuSlwKeAK4wxm0M/789i/4oyPmhrg/JyqQ3pdsPDD4/2iBQl62QzW/JFwGSrP0UZlzQ2Qk2NZEbOmCETtIuKRntUipJ1dFUARcknHn1UhO2974VDh1TYlHGLipui5ANPPCHbtWul4sjvfz+qw1GU0UZrSyrKWKazE844A44ehb174d57NXFEUVDLTVFSomFPA8vXLmfhdxeyfO1yGvY0ZK/zBQtg5cpT97/8MkyYIMI2eTLcemv2xqQoOY6Km6IMQsOeBlY9s4qWzhamlkylpbOFVc+syp7AXXEFrFnDWd/+dmTft74Fl1wC1sL06XDsGEycmJ3xKMoYQMVNUQahbkMdRa4iygrKcBgHZQVlFLmKqNtQl50B1NfDihXM/PWvIxbcvffK9oILoKUlO+NQlDGEipuiDEJTexMlnpKYfSWeEpram7I3iPp6Dr/nPbBmDcyZAydPwjXXwKuvZm8MijKGUHFTlEGoLq+my9sVs6/L20V1eXX2BnHrrcx49ln5vbkZqqrgl6eUZlUUJYSKm6IMQu0ltfT4e+jo6yBog3T0ddDj76H2ktqU2xhyQsrevTBlCkTH26qqROASJZkoigKouCnKoNScUcPq966msrSS1q5WKksrWf3e1dScUZPS+UNOSHnpJaiuhrfflmVqAFasgP37ZbtmjQqcoiRB57kpSgrUnFGTspjFE52QAvRv6zbUJW6zp0cqiyxZIpmQ06bB1q0c+uAHmVVfL8eEt2vWxP6tKAqglpuijPgctrQSUj71KSguhh/8QP5uaQGvF1asYNe//EvssaEsSp5/PqPjVZR8QMVNGddkYw5bSgkpmzZBWRn8+MdgDLS3Rz7bvj25ZVZfL58rihKDipsyrsnGHLZBE1I+8hFYvFhKaVVVwZEjcNttGetfUcYjKm7KuCYbc9gGTUh58UWx1h54QJJFpk7NWN+KMl7RhBJlXFNdXk1LZ0t/kgeMzBy2mISUQACWL4ez/1fKaP31r5JAouWzFCVjqOWmjGsyMYctLf7wBygpkSVpvv99SWZ5/mYW/vhdMckso1qoWVHyABU3JafIxEM9nTaGO4ctZQIBuOwyeM97oK8PFizgj//3VMJklgdffDDh/k1tmzI7JkXJY1TclJwhE5mLQ2mj5owa1l2/jjc+9wbrrl9HzRk1mbecPvxhWL8enE547DF4802++fr3EyazPPSXhxLu//nBnw9vDIoyjlBxU3KGTGQuZqKNRAJ5069vYsljS9ITO68XfvQj+f2pp8Rq6+6Gm24CkieznOg7kXD/4d7DKV+Doox3VNyUnCETmYvptpHIQosXSF/Ax9Guo7x57M3ULcq1ayW2dsMNsh+85AMAACAASURBVKhoURE88wx4PP2HJJv/NrFgYsL9MwpnpHwfFGW8o+Km9DPaSQyZqL6fThvJXJhbj2yNEcgDHQdwOVz4g/7BrUGvF84/Hz7xCfD7pYTWokUJx5osmeVL7/pSwv3Xzro25fugKOMdFTcFyFy8K1oc002AyETmYjptJHJhev1eWjpbePnAy2w5soW27jZ6/b1YLIWuwv5zE1qDe/dK6awtW8RC+9Wv4C9/kThbApIls9z27tsS7l9UkVgkFUU5FZ3npgBDKO4bR1gci1xF/eL4yMFHOH/P+THnh91+Te1NVJdXU3tJbf/n4Yd9ss9TIZ02mtqbmFoSmTDd1t3GoY5DBG0Qf9BPX08fx3uP4zIuHA4HVROq+o9NaA3OnSsltM4/H557LqmoxY830dgS7W9sbhy0PUVRBBU3BTj1QQ/pxbsSiWOHoyNGHBMJ4KpnVsWk3g+n+n6YVNuIn8B9oOMA3qAXv/VjMAAidNbPlKIpdPu62dO2h25fNxbLvIp5bL9rJQu+/qhU5//MZ2JrQoYYSNATke7xiqKcirolFWD48a5EiRxFjqIYcUw1kzFbsb9ELkx/UITNYRw4jAODwelwUl5QzoGTB+jydWGMYXKfi//96k7m378GGwjI2msJSNfdm87xox0jVZRcRsVNAYYf70okjj3BnhhxTCWTMRtV+sPEx7zC1prDONj2cICHfxPo33ew4yBup5sSTwn/9wPL0a/7qD5u6XbDl766BB5/PGEf0YJ+ovcEe4/vpam9iet/eX3Ca0rnBSBb90lRxiIqbgow/EodtZfU0trVymuHX+PlAy/z2uHXOO49HiOOqViHAz3cR8JSiZ7APb10Og7jwFrL83NhxUZ4ZF0QrBzrC/j49q/6uOhAEIBfneNi2t3F/G7aiaTthwW9vaedXW278Aa8eBweOvo6EopRqlMZsrGagaKMZTTmpvQTHasKx32++Psvphz3McZgo/4zxsR8XntJLaueWQXIA7vL23WKdZgs9rflyJZB43XDoWFPA73+XrAQJMjnlxvAsmIjuBxBXJPLuGBzC+88bPnpO118792FvDYT3MY5oOs2HNdrPtmMwzj6pxQUe4r7xSh6/KkWch7oPi1fu1zjdcq4Ry23MUC2YytDcXnVbahjSvEULpxxIZfMvoQLZ1zIRPdE7nz+zv6x122o44bzbhjQOkxm3fX6e0fMUglf78SCiRS6CilwFmAw1H7QzQ8udvKZlwP84+8O887DlkcvdnDLRwt4bQb4A348Dg/Huo8l/W7C7t5uXzcOHPiDfoI2yOyy2QktskQWcPOJZlq7WrnxlRv7+0h0nw6dPER7T7u6KhUFFbecZzRiK0NxeSVyp/kCPjYf2czOt3fS0tnCs3ue5Y7n72DDgQ1JrYpksb8iV9GIrbsWvt7ZE2dzZsWZlHhK8Dg9TCqcxCeOVmIAAxwpM3z5mgkEAgEATpt4GsWeYvxBP1NLprLz7Z1c87NrmPPtOf0iFHb3lnnKxCXp9HBm+ZlUFFckTdiJtoB9AR9tvW209bQxyTWp//tfOmfpKfeppauFGWUz1FWpKKi45TzZjq007Gnghbde4M3WN/snMcPgQpLIkjjiPYLLuDjYcZBefy8BGyBog7T1trHj2I6EIh0WA5fDxauHXmXHsR2UukuZUTZj2NVLkhEtzBXFFZw3/Twunn0xDd/toOStg1jg8CQX0zss3/+di+rJ1Tz98ac5c/KZTCme0p8scrDjIAEboMvXFSN0dz5/JxVFFQSR+XNA0oSdeAu40F2I2+GmrbcNY0z/979+//pTYqQVhRXMKIst0ZXphVcVZaygMbccZ7jzz+JJNIcK5KG65cgW2nvaCdogxhi8AS+723dzJmfidroHFJJE8TRv0CtVPQz0BnoxGIwx/QI3d9LcpJPEO7wdzJ8yv7+t1s7W/hhesnhdsusbLOZUXV7Nzrd38nbP2/T6eyl0FTLZM4lz9vdigaf/poJHbjmPVU/u5KN/PCT3a1JdzHcTjqkFbZDjPcdp72nHGIO/y09rVysYmFU6i7beNra/vZ0LKi9IGC+M/757/b24HW6JB4bKUoa///j5fMvXLu+P17V1t3Gg4wDd3m7KCsr6rUhFGS+o5ZbjZKLeYphk1e5v/s3NtHS20OXrImADBGyg38Jw4GDfiX2DTgtIlG15VulZ+K0fp3EStMH+Y53GSa+/N6lIJ7JWp5ZMZXrJ9AHjdWm7cBcsgJUrWTpnKftP7KfH14PLuOjp7eSXDzThsPD0RRO495Oz2XJkC5+oOc4Pl3j46PpjXL/mzzHfTa+/F2stPf4eggRlCoEVUQdwOVyc8J7gghkX8I5p72BK8ZSEYhP/fRe6CvEFfTGlv5J9/2GX7oETB9jdtpseXw/GGCYVTtLYmzLuUMstx0klwzBVElUR2d22G4tlbvlcev29eJweAlbmd7mdbnp8PRAkpazEeEvim7/8JvdsvwdvwIvBYK0FA26Hm0JXYdKHdDJrtbWrlQ2f2ZDW9YX3Jxz7FVfAmjUs3FlF1QeraOtt46u/OsHn/y+AA3hrZgkP3nI2O4/8FZfDhdvhpvaDkhTy3l29TIv6bgqcBZzojUwJ6M8UteAP+ilwFYj1xcCWd/z3PbloMvu9+6korMAG7IDzD8MvGNf/8nqCBCl2F1M1oYryonI6+jqS34cRIhAI0NbWhs/ny1qf6TBhwgQOHTo02sPIGzJ9P91uNxUVFThTKGOXiKyJmzHmh8By4Ki19txs9TvWyUS9xTCJRMMX8GFDE7kKXYV4A16cxokv6GPR9EV09HVQWVp5Sn+puP8WVSzirqV3cd+f7sMRdBAggNM4cRgHFYUVSR/SqabDp3J9iSaJf+WPX+H1o69zYk0nFrjquWZ8gRkcmTKRz/6fxBiDwGmHuniz9U36/H34jI8CZwFBG2Tl+8HjgitD2Z/r96+ntauV473H8Tg8BAj0W6oOHP3WcNj6Guha4r/veZPncfMFN7N+/3q2HdzGuaXnDvj915xRw5TiKZw99WwcxkF7Tztbjmyhx9fDjmM7suqebGtro7CwkClTppwyLSQX8Hq9zJw5c7SHkTdk8n5aa+ns7KStrY2pU6cOfkICsmm5PQF8B/hRFvvMCzJRbxESi4bb6e4Xt9lls9ndvptAUB7EyayEVGpEhrnt3bdx4YwLqdtQx9YjW+nx91DoKmT+lPlJH9JDtVajr6+9p53mk810+7op85T1u+Ru/s3NHOo4RCAYwCJ++SBwdWNkIdBg1H5v0EuhsxBv0Eu3X9L5PS4PBkNLZwtPbnmy/7qXPLaEN4+JGFpr8Tg9WCxevxd/0E/1pOohrXRw4YwLue3dt9HY2MiyZcsGPT58H/xBP7vaduEwDpzGidPhzOjcwMHw+Xw5K2xKbmOMobS0lI6OjiG3kTVxs9auN8acnq3+lFNJJBoTCyZijKGjr4NJRZOY6ZtJS1cLZZ4yKksrEwpQuu6/dMU5mbUK9E9QnlAwAWstHd6O/s/D13ey7yQHTh4AxHKaWDCRVc+sosxTRmtXq7hdjaHgXid9dwf6A8/m/2/v3AOjqq79/9nzSAhJeMSQCIJifEQlQAgS8BGEEihWr4iP9lqLRAGrlqfV/vDaWrVqsFqIAuJPkUJLrK9q6wWUn3jBUlvSSyC8BTWigBFCAwl5Ma/9++Mww4Qkk8lkMi/W558wJ3vOWWczmXX2WmuvL00dW8KTVnA5sZgsRiPok8YfmsVkIc4c1+y+nxr9lMfp25129lfvp9HRyCUpl9AjoQc1J2vo172fz5WXrwcHi59/ru55OFhz8HQDaFxkdM/AaraGNDwpjk0IlI5+dqSg5CyipaKP1256jaX/sdRzLDM1k/d++B5fz/maVT9e1apUTHv3nLV3I7p3W6xVP14FwKy1s9j3730cqD5AyaESNldsptHe6HEAYOQGjzceR2tNgjWBi1Mupm/3viRYEth1ZJcn76WU8jg4d6mL5rSDS3jSSoIlAYvJQqOj0bMac2kXLu3yyN9437f3/NpddvLOz2P1Hav5bMZnbJq6yXMvvhxLMLZ+uO1wuVyeFaR7b93ZtjXAbDaTnZ3NgAEDGDx4MPPnz8flcvl8z/79+3n99dcDvlZWVha333479fX1PsdfffXVbZ6zqKiozfP44l//+hcjR44kMzOTyy67jKlTp1JfX8/y5cuZPn16QOd85plnArbHTVVVFWPHjuWSSy5h7NixHGtBTaOjKK110E/a6sWMldsqXzk3pdS9wL0A6enpQ994443QGAfU1taSlJQUsutFK4/seIQqWxVdzV09x+qd9aTEpVA4sNBzzD2fpVWlLPxyIfGmeBJMCTS4GjjpOsmMi2b4LcD5yI5HOFh/kEpbJXaXUaDgDqdmJGZgVmbP9Qv+t4Aelh5Nnvy01uyr3Uej69SWhFMrmhdXObl/szHGaLhlsDTXwqwbrZiVGZu24dIunNqJCRP9E/uTbElu9b47Qmu2H3ccZ9Hli9r1+fT3/6mz6NatGykpKX6P//vfu7BsWTcOHLDQr5+De+6p4dprGztkw4ABA9i1axcAR48eZfbs2QwdOpQ5c+Zgs9mIi4tr9p5Nmzbx6quv8lorzbD9udbs2bPJyspi6tSpHbL/2muv5f3332/XPLqprKzk5ptvZuHCheTk5KC15oMPPmDYsGF88sknbN++nSeffLLd5/W+T29am08wiou8C0MKCwvp0aMH999/P0uWLKG6upq5c+c2e19VVRU1NTVNjo0ePbpUa31lW3ZGnHPz5sorr9SbN2/uVJu88TencbbjHTrzzomdmctxz6f3/is37kIV96qsLa5YfAXf1X6H3WWn3l7fRG+tZ0JPstKyqKyrZPfPdrd6PbMys/3Idk46TqJQLFzl4v7Np0ORbufmfv1KrpmHbk7AhAmby0Za1zSUUqR2TfV53x3B11w91OehNj+f3oU+yXHJHK473Kn2+uLbb7/1u8Bg3TqYNQsSEiAxEerqoKEBXngB8jtgalJSErW1tZ7X5eXlDBs2jKNHj/Lpp5/yyCOPUFdnbL1YtGgRV199NSNGjGDPnj1ceOGFTJ48mYkTJzJp0qRm43xd6+WXX2b79u289NJLzJ8/n2XLlgEwdepUZs+e3WT8hg0bePzxx0lNTWXnzp0MHTqUlStXsnDhQh566CEyMzNJTU1l3bp1TJkyhc2bN6OU4p577mHOnDmt3vtjjz0G0KIDW758OZs3b2bRokUUFBRw4403cttttzWxq6Kigh/96EfU1NTgcDhYsmQJq1ev5rnnnmPgwIEMGDCA4uJiVq5cyYsvvkhtbS15eXm89NJLmM1mkpKSePDBB1m7di2/+93vuPbaaz3Xz8zMZMOGDfTu3ZuKigpGjRrF3r17m9nZ0mdIKeWXc5OwpNBu2qsgEEgY80wyembQ4GjwVFu6ce+Z865AbK2F19Pfe5onrnsCq8mKCxejv2qaY0PrJq/HfW0mzhyHzWkjOS65WQi3vcoJ/tAR6aEz9/k5tROtNRaTpdPsDRZFRYZjS04Gk8n4mZBgHA8mGRkZuFwujhw5wjnnnMNHH33Eli1bePPNN5k5cyYA8+bNIy8vj7KyMubMmUNaWlqL41rD4XDwwQcfMHDgQEpLS/n9739PSUmJZ0W4devWZu/ZunUrRUVF7N69m/Lycj799FNmzpxJnz59WL9+PevXr6esrIxDhw6xc+dOduzYwd133w0YjvTll19udk63owyU119/ne9///uUlZWxbds2srOzmTdvHgkJCZSVlVFcXMyePXt48803+fTTT1mzZg1ms5ni4mIA6urqyMrKoqSkpIljAzh8+DC9exvddHr37s2RI0cCtrM1QrkV4E/AKCBVKXUQ+LXWun3rfiFiaE+RSKCl/d6rkG7x3cAFNgzJmHrH6TyEdmgq6yqZN2aexzZf2yfOTTqX6pPVXPrvao8jW//FR+Sf+jn64rGYgPMP27iwx4XNVjtt3XdHlLR92b7hwAaf526t0Ce1ayqbprYsphoplJfDmRXfiYnG8WDjjlbZ7XamTZtGWVkZZrOZffv2tTjebrczffr0Nsc1NDSQnZ0NQF5eHlOmTGHJkiVMnDiRxETj4e6WW25h48aNDBkypMl7c3Nz6du3LwDZ2dns37+/mUPIyMigvLycGTNmcMMNNzBu3DgA7rvvvgBnwjfDhg3jnnvuwW63c/PNN3vuzZuPP/6Y0tJShg0bhs1mw+l0kpaWBhg5yFtvvbVTbPOHUFZL3hGqawmRRSCl/WdWDdbZ6uiW0I2axhoc2lDLdufc4s3xzSqrWnO+RSVF9ErsRUZKBooNuIDh/3co556qIMy/KJ91pxycglYrRv21OxBpntZsL60qZdnuZa2eO9it2kJJRgZ8952xYnNTV2ccDybl5eWYzWbS0tIoLCwkPT2dbdu24XK56NKlS4vvWbBggV/j3Csab/xN+8THx3v+bTabcTgczcb07NmTbdu2sXbtWhYvXsxbb73lCXe2xIABAygtLWXChAk+r22xWDxFNlprbDYbACNHjuRvf/sbq1evZtKkSTz88MPcddddze5v8uTJFBYWsn//fvr37+/5XZcuXVrdgJ2enk5FRYUnLOl2iMFEwpJCpxOIEGpLVYP9uvVj8LmD6dGlB/GWeFISUhicPpjcvrmkdk31q6LQO0Q6Zvko8pePauYA8i/Kx6w1Jq3brG70x+5AGl2v+3IdI5aOIPmZZJKfSWb4q8NZ+tVSn+cOZqu2UDN7tpFjO3ECXC7jZ0ODcTxYVFZWct999zF9+nRj+8uJE/Tu3RuTycQf//hHj9pDcnJyk/1V1dXVLY7zh5EjR/KXv/yF+vp66urqeO+998jLy/P7/d62HD16FJfLxa233spvfvMbtmzZ4vO906dPZ8WKFZSUnO7qs3LlSr777rsm4/r3709paSkAf/3rXz0dZb7++mvS0tKYNm0aU6ZM8VzParV6xowZM4Z33nnHE1asqqri66+/bvO+brrpJlasWAHAihUr2nTAgSDtt4SQUVlXyYHqAxyoPsDR+qNA6yE+Xy24vDtweP+ura0IRSVFHKg+wLcnvuWC7heQ0tWoQAumA+jI6slt4/bD26msr8TpchJnNjaMbz+8HZvTxhVdryCZ08sb73MHs1VbqMnPN4pHioqMUGRGhuHYOlJMAqdDhXa7HYvFwqRJk3jwwQcB+MlPfsKsWbN4++23GT16tCd0OGjQICwWC4MHD6agoIAHHniAW2+9tdk4f8jJyaGgoIDc3FzAKCg5MyTpi3vvvZfrr7+e3r17U1RUxN133+1ZZRUWGhWv7nzbmeHJ9PR03njjDR566CGOHDmCyWRi5MiR3HLLLU3GTZs2jQkTJpCbm8uYMWM897dhwwaee+45rFYrSUlJ/OEPf/DYNGjQIHJyciguLuapp55i3LhxNDY2kpiYyOLFi7ngggt83tfcuXP54Q9/yGuvvcb555/P22+/7fec+EtIqyXbi1RLtk1H8judjXs+1325jinvT+FI3REsJgsajVM7SU9MZ+l/LG3RXnfVoMPl4EDNARodjVhMFi5PvZzUrqntqr70DhXanXb2Ve0DDRefczHx5vigVhAGWhnqbeNXx7/ieMNxUJBgScBqtuJwOWiwNZAUn8SQ3kNaPXckfR7aUy0ZDs4MowkdozPmU6olz1LCIWQaCEUlRVSfrMZitmAxW7CarVhMFo41Hms1XDd7+GyO1h9l77/3ctJx0ijHd9ioOFHRolCnrxVKUUkRdqedr45/xRfHvsBqsmJSJvYf2x/0CsJAqx29w5mNjkZPPvGk8ySAp0q0rXOfufk9Uh50BCHUiHOLYkItZBoo5cfKsTvtmNXp5LJZmbE77a2G6/Ivyic9MZ14czwaTZwljkvPuZReib1aFOr05aB2HN7BwZqD2Jw2rCarR+U6JSGlUxxAkjWJvUf3suXbLVhMFr+cp3cusIulCyZlQqE8DZid2onVZGXIuUM6dSuCIMQKknOLYqKlOi6jZ4bRrFg7sSjjI+fUzjYFUE/YTjD43MFNcmsu7WpRqNMXDY4GwOgJCWBRFpwup+d4a7Q3xOcdWszpk0OdrY4TNv8av3pvl+ib3NcQez0lFeRwOnC4HHQzd+Op0U+JMxMEP5CVWxQTyuq49vaG9Gb28Nl0j+9ufEk7HdiddhwuBz279PQZrgvW/XWxdDGchMuB1hqHy9hK4C0A6sZ9nxcsuICJb01k79G9fod8O7KS9g5n9kjoQb9u/Yg3xxNnMdoZDUofxC8yfyGOTRD8RJxbFNORbhbtoaO5vfyL8nntptcYlD4IAIVicPrgVotJ3ATr/galD6JPch/izHHYXXbizHH0Se7jscf7Pqe8P4W/f/N3Dp44SL29nm+qv+F4w3G/HFVHOrGcuV0iMzWT/77jv2l4tIET/3WCkmklfvfhFARBwpJRTTCFTH3RboXrVmz1JfPS0j0E6/7cJfIX9rjQZ4n8o//zqFHRabagtUahsGsjL+hPR/1AO7G4CZZunyAIsnKLekJRHReM3pCt0daqMBj319omcqBJqHX74e1YTBYsJgtmk9mQxUF5Wn215ahCtZJ205FQcSScPxSI5E1kSt68/fbbDBgwAJPJRGdt9xLnJrRJZ+b2QlXx2Zo+nLdTPek8icNltD1yV2m6S/L9cVSBdGIJlM7eBhKObSad4UzdLbF27drFRx99xJo1a3jiiSd8vidQ5+a+1s6dO4mLi2uxmbE3//jHP9o8Z0ec2+HDh7n99tt59tln2bt3L3v27GH8+PEdUreGwJzbmV1dsrKyePfddxk5cmSHbPGFODehTTpzRdKZq0JftOZUbU4bDpcDi8li9KxEEWeK89tRhWqfWWc/FIR6m0konGlaWhqvvPIKixYtQmvNwYMHycvLIycnh5ycHI+zmTt3Lhs3biQ7O5sFCxawf//+Fsf5Ii8vjy+++AKA+fPnk5WVRVZWFkVeMgdubT53s4PbbruNyy67jDvvvBOtNS+++CLffvsto0ePZvTo0TidTgoKCsjKymLgwIEsWLDApw2LFy9m8uTJXHXVVYAh0HvbbbeRnp7eZFxBQQHvvPNOM7sqKioYOXKkZzW6ceNG5s6d6+n6cueddwJGS6/c3Fx+8IMf8NOf/tTjyJKSknjssccYPnw4//znP5tc8/LLLyczM7PNeewIknMT2qQzc3sdzVMFSkvbKDJSMvjs6GeYlMnYE2e2kpaY1mbhSzjo7G0god5mEoy8rj+0JHnTpUsXPv/8c+644w42b97MvHnzeP7551m1yljh19fXtziuNdySN+PHj28ieaO1Zvjw4Vx33XXNWnBt3bqVXbt20adPH6655hqP5M38+fNZv349qamplJaWeiRvAI4fPw603n5r586dTJ48OeC5ckvePProozidTurr68nLy2PRokWeBtHekjeHDh3it7/9LcXFxdx1110eyZtABFGDgTg3wS86q9ghXP0QW3Kq8eZ4cs7NoVdir4hoX3UmpVWlPP/685QfK+do/VEcLgfndTvP8/u2Hgras28v1A8doXSmInnjH9EueSNhSSGshDJP5Y0vQdNIbF+17st1LPxyoSds1z2+O99Uf8OhmkN+hYrbG/YLdXFMqPZsekveLFu2zCNls3nzZo/Uy5l4S974GufOuZWVlbFw4ULi4uI6RfJm1KhRLF68mKlTp/o8p1vypi3akrw577zzmDRpkqdxsjduyZuysjLWrFnD3r17efzxxwHfkjehQJybEHaCladqT0FCuJxqoBSVFBFvivfkwPp270u/bv043njcL/vbm0ML9fyEwpmK5E3kSN6EAglLCjFBICKh4dpXFkjn/vJj5SSYEpoc69OtD9Y6Ky+Of5GikiJmfjiz1fMFEvYL5fx0Vl5XJG8iU/LmvffeY8aMGVRWVnLDDTeQnZ3N2rVr/Z4XfxDJGy+iUfImUln35Tp+teZXVJuqQ5K7ClRqJtR4O2HvHGNbq6IbX7+Rzys+p0/qafmPEydPYFZmau21bZ4vHPMjkjdnFyJ5I8Q87i/wKltVyPZIhWtLgRt/Q6KBltjPHj6bk66TzcJ2Sim/zhfqHJoghBtxbkLQcX+BdzV3bfKF+8v1v+y0jhehbCJ9Ju0p1gjUCedflM+Mi2Y0y4HVnKzx63zRlmMUhI4iOTch6LjzOzX1NZ5jdqedHUd2MDBtoN85sfYQri0F0L49Wh0psR+aMpSfj/p5wOeLtN6V5VXlbDq0iWMNx+iZ0JMR540gI6XzH0aEswNZuQlBp6VV1P7q/Z3W8cJdoFF7spZvqr/hq2NfhXRl0p7VWLDDg9EabiyvKueDLz+g1lZL17iu1Npq+eDLDyiviiwtQiF6EecmBB33F269s97zhdvoaKRf935NxgUjJ+YdEuzfsz/ndz+f5PjkoBew+MqptSckGuzwYLSGGzcd2oTVZCXOHGe0ODPHYTVZ2XRoU7hNE2IECUsKQcf9hfurNb+isq6SjJ4ZmJUZp266PygYObFQtG1qa5tBe0OiwQ4PRlq40R+ONRyja1zXJsesZivHGo6FySIh1pCVm9Ap5F+UT+HAQs/G7Ke/93SnhM9CUSXZVoVjtK6ewknPhJ7YnfYmx+xOOz0Tegb1OiJ5E5mSNw8//DCXXXYZgwYNYuLEiZ4+mcFEnJsQEjrLAbQVEgyGjIo/DjRUagCxwojzRmB32bE5bWg0NqeNdLWDCYlLofwKOHAj1IrkTaxK3owdO5adO3eyfft2Lr30Us+G9GAizi3CiQXBSDed4QB8FVQES0YlnNsMYpWMlAyuv+h6kuKSqLfVc1H8V1yf/CGJphow9wLnd3BkVlAcnBuRvIkcyZtx48ZhsRhZsREjRnDw4ME257S9iHOLYMIhGBlt+FoRBkuTLJIrEqP54ScjJYMfD/wxP8v9GWO67yDOgFJWiQAACEBJREFU2h1MyaBMxk9TAhwLrn5cS5I3W7Zs4c0332TmzJkAzJs3j7y8PMrKypgzZw5paWktjmsNt+TNwIEDm0jebNq0iVdffZWtW7c2e8/WrVspKipi9+7dlJeXeyRv+vTpw/r161m/fj1lZWUeyZsdO3Zw9913A0b7rZZWiTt37mTo0KEBz5Vb8qasrIxt27aRnZ3NvHnzPCvU4uLiJpI3a9aswWw2U1xcDOCRvCkpKWmmcODNsmXLuP766wO2szWkoCSCCZXGVbTTWkFFsGRUOlPPriME0k8zYrGXGys2b1SicTzIiOSNf4RC8ubpp5/GYrF4VoHBRJxbBBNqwchYI5iaZJFYkRhTDz/WDCMUqU7/X6HrjONBxFvyprCw0CNl43K56NKlS4vv8Za88TXOvaLxpjMkb9auXcvixYt56623WLZsWavndEveTJgwwee125K8Wb16NZMmTeLhhx/mrrvuanZ/kydPprCwsFlvybYkb1asWMGqVav4+OOPUUr5tDEQJCwZwUiup2NEcjgxGIS7n2ZQ6TkbXA3gOgHaZfx0NRjHg4RI3kSO5M2HH37Is88+y/vvv0/Xrl3bHB8I4twimFj/cu5sYr1EP6YefpLyIe0FMJ8LzkrjZ9oLxvEO4A4VDhgwgPz8fMaNG8evf/1rwJC8WbFiBSNGjGDfvn0tSt4sWLCABx54oMVx/uAteTN8+PCAJW9Gjx7NoUOHGDVqFNnZ2RQUFDSRvGkp5+YteZOZmcnll1/Oxo0b6datW5Nx06ZN45NPPiE3N5eSkpImkjfZ2dkMGTKEP//5z8yaNctj06BBg7jzzju54oorPJI348ePZ+zYsVRUVLR5X9OnT+fEiROMHTuW7OzsTgmtiuSNF5EoeROI9lekEInzGc2cOZ+ByueECpG8ObuINMkbyblFOJGY6xEig0gtdBGESECcmyBEMfLwIwgtIzk3QRAEIeYIqXNTSo1XSu1VSn2hlJobymsLghB6IjmnL0Q2Hf3shMy5KaXMwGLgeuAK4A6l1BWhur4gCKHFarVSW1srDk5oN1pramtrsVqtAZ8jlDm3XOALrXU5gFLqDWACsDuENgiCECJSUlKoqqrqcKPezqKqqoq4uLhwmxEzBHs+rVYrKSkpAb8/lM7tPOCA1+uDwPAQXl8QhBBiNpvp1atX2wPDxL59+8jJyQm3GTFDpM1nKJ1bS/1VmsUrlFL3AveCsQlxw4YNnWzWaWpra0N6vVhH5jO4yHwGF5nP4BJp8xlK53YQ6Of1ui/w7ZmDtNavAK+AsYk7lJuAZdNxcJH5DC4yn8FF5jO4RNp8hrJa8n+BS5RSFyql4oD/BN4P4fUFQRCEs4SQtt9SSv0AKALMwDKt9dNtjK8E2u7CGTxSgaMhvF6sI/MZXGQ+g4vMZ3AJ1XxeoLVuM5kb0b0lQ41SarM/PcsE/5D5DC4yn8FF5jO4RNp8SocSQRAEIeYQ5yYIgiDEHOLcmvJKuA2IMWQ+g4vMZ3CR+QwuETWfknMTBEEQYg5ZuQmCIAgxhzg3RK0gmCil+iml1iul9iildimlZoXbplhAKWVWSm1VSq0Kty3RjlKqh1LqHaXUZ6c+p1eF26ZoRik159Tf+k6l1J+UUl3CbROIcxO1guDjAH6utb4cGAH8TOYzKMwC9oTbiBjhBeBDrfVlwGBkXgNGKXUeMBO4UmudhbGH+T/Da5XBWe/c8FIr0FrbALdagRAAWusKrfWWU/8+gfHFcV54rYpulFJ9gRuApeG2JdpRSnUDRgKvAWitbVrr4+G1KuqxAAlKKQvQlRbaKoYDcW4tqxXIl3EQUEr1B4YAJeG1JOopAn4BuMJtSAyQAVQCvz8V5l2qlEoMt1HRitb6EPA88A1QAVRrrf9feK0yEOfmp1qB0D6UUknAn4HZWuuacNsTrSilbgSOaK1Lw21LjGABcoAlWushQB0gefYAUUr1xIh0XQj0ARKVUj8Jr1UG4tz8VCsQ/EcpZcVwbMVa63fDbU+Ucw1wk1JqP0bI/HtKqZXhNSmqOQgc1Fq7ownvYDg7ITDyga+01pVaazvwLnB1mG0CxLmBqBUEFaWUwshn7NFazw+3PdGO1voRrXVfrXV/jM/m/2itI+LJOBrRWn8HHFBKZZ46NAbYHUaTop1vgBFKqa6n/vbHECEFOqHUc4tItNYOpdR0YC2n1Qp2hdmsaOYaYBKwQylVdurYf2mt14TRJkHwZgZQfOphthy4O8z2RC1a6xKl1DvAFoxK6a1ESKcS6VAiCIIgxBwSlhQEQRBiDnFugiAIQswhzk0QBEGIOcS5CYIgCDGHODdBEAQh5hDnJgiCIMQc4twEIQpQSvVWSr1+SqbFqZRaHm6bBCGSEecmCNFBPHAUmIc0ohaENhHnJggRgFKql1KqQin1mNexQUqpRqXUbVrr/VrrmVrr5UBV+CwVhOhAnJsgRABa60qgAPilUuoqpVQC8CfgT1rrd8JqnCBEIWd9b0lBiBS01muVUi8BxcAnGKHIGeG1ShCiE1m5CUJk8X8AG3AXcKfWujbM9ghCVCLOTRAii/4Y+oIaQzVaEIQAEOcmCBHCKZHXYgw9wYeAJUqp88NrlSBEJ5JzE4TI4TdAGoa6cTUwHvijUmq01tqllMo+Na4b4H5t01qL2KYgnIHouQlCBKCUug5YB4zVWm84dexcYDuwQGtdqJRq6Y/161Mq3YIgeCHOTRAEQYg5JOcmCIIgxBzi3ARBEISYQ5ybIAiCEHOIcxMEQRBiDnFugiAIQswhzk0QBEGIOcS5CYIgCDGHODdBEAQh5hDnJgiCIMQc/x+eZAsxXOh6lgAAAABJRU5ErkJggg==\n",
|
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"text/plain": [
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"<Figure size 504x360 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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xKis+7WPt/64NE/h41ztV30Xt3NqMFYgWBCE6Im5xSOSpPFm3VCrnaIayPILjL8krwe03Lsmzys+irKBsyD5H6m5rbG/sX4m76UxTvysSQCkjch6fhylFU7jvqvsSarNuSR0tPS1orcOsQIuy4PK5cFgdeH3eMMsr3vWW+TJByF1E3IZgqKfyaAL4hUVfoH5rfVRXYSrnaBKxPGrn1rLh4xuoKathzsQ5lOaXxu0z6OYMzpNZlXWQsCcShFFTVtO/ErfT68SqrFgsFkocJZTml1JgK6DAVsCj1z6asKVTO7eW8vxy8m35/dssyoJC4dd+fNpHoaMw7PzjXW+ZLxOE3EXELQWECmDdkjoe2/FYTFdhKudoErU8Eu0z0s3p9Xvp9nTz07/7ab+wJxqEUbekrn8l7jxrHm6fG7/2M2fiHBZVLuKcyedw5ewrkz7v8yvPp6ashvMmn2fy5jRorfsFrjy/nJqymoREWubLBCF3kSTuFJNIUm+qCvoms6xLIn0mMvZEk5Zr59by1blf5SXnS7T2tOLxe6gqqmJiwcSELKRYyefBcy6wFTBrwiwOnzmM1qbiSVVRFQ6bg6Uzl4YtrxO8Lj/9u5/2j/Vrf/paf7sbV25M6Hqni7FeOEAQsgGx3FJMOpN6h2N5xHMpJjL2ZM4vuBL34VsP88ynnkm41FY86zD0nPPt+bxv2vt437T3UT2hmgUVC1h39To2H9kcdS7yOy9+J+tLZUk5L0FIDWK5pZiashpaulv6LRoY3SCFZKzAyAVDW7pbuOl3N1FZVEmXu4tTvafw+r1MnzA95tijnd9L/7DZhHZ8OUqngeCRWq2jukGjWShDWYdDnfPX/vS1qCXD3jj2BgsqFmR1qax45/6Nad/I5NAEYUyRVstNKfWeUmqnUuotpdS2dPadLiKDFI52HmXv6b3sPLFzRNVIUlHVJDK60uv3cqLnBHtP72Vy0WRK80o50nmE5jPNMQMsgud3tPMoO07s4NWmV9EE/pBUeM7aFcuXxz2f1n/4FA/e1jDIQmlsb8Tlc7HjxI7+0l8unyth6zfWXCSQ9aWypJyXIKSGTLgll2utL9RaL85A36NOqNvsUPshWrpbmFo8ldlls4ftYgp1VVktVrYc2cI1v72Gyx65LKm2dpzYwaGOQ/2CcbDtYP+6ahZlYUbpDKonVNPh7IjpPqydW8sXFn2Blu4WulxdvFnv5OeLFX4w1ltQ4JQK++M68tmPholzxz+u5Ib/befthZMGlQbzaz8HTpuKKnaLHbfPzYHTByhxlJAIsaIgz51y7iDRO3bmGKd6T2VNrcp4QULBii/ZMlZByGZkzm0UCEZPLqpcxIKKBUyfMH1E1UiCFpfH56GxvRGf9mG32Hn31LsJi2XDwQba+9rp8/T1C0aPpwefzxcWWj9twjQqCiviJiRvPrKZquIq7FY7m+da+dI2zSOXWgYLHMCqVRxZuYLqDRv5/L9vZXLRZD7/71v5xOZWnryijLuvr2DPqT10Ojtx+9yc7jtNY5s5xzDUQH7cUMSai7x3+b2DrOqmM01MzJ+YNfNbsYR56cylYRVfsmGsgpDNpFvcNPBnpdR2pdQtae477aTKxRRsJ7SMls1iw+v3JiyW9VvrmVoyFaUUPu3DqqwoFG6/mxklM/qPS2R+sLG9kTZnGxZl4ZsfL+HRJXZuec3Py7MJK6Z17NprYf16Vl+j+a+lFVy/+RR/+qf/5frNp3hkiZ0vfcRPY3sjHr+n/zMKhVd7sWLFYXXg8XtwWB3ML5/PGdeZhK9ZtPzESNHrdHUys3Rm2MOHx+dh5dMrM2YdxRLmzUc291d8SUXZNkHIddIdUHK51vqYUmoK8LxSao/WenPoAQHRuwWgsrKSTZs2pW1w3d3dKe2v1F9Ky+kWCq2F/dt6fb2UO8qT6ifYTo+rBxs2vMqLDx92Zcfb42VX566w9ra3beep5qc47jzO1PypfHL6J9nVvIuJtolMdUyl1dWK0+8kz5KH2+/G2euk3dlOn78Pl9/FZyo+E3d8pf5SDjoPmv6Vl1tX5OHz+7jldT9Af/XIqmefZdOmTexq3sUPPjad6zefosCtaS61suYaG32uzv42fdqHQuFQDtzajcvv4mzH2eAIXLfe8OsW7RwvKb9kyGtpw2YCM6bBF1//IoXeQjraOwDo8nbR1NsEwDTbNPYf38/f/9ffU2Yvo8/fl1Q/IyF0jAA0wa7mXZSokv6xgsnvi/zuhcRJ9f/38U62Xc+0ipvW+ljg9aRS6hngUmBzxDE/B34OsHjxYr1s2bK0jW/Tpk2kqr+Ggw349/t5r/M98m35zC6djd1qx+a1sfbqtSybm3g/a6vXsua5NeR78vH5fcZFpxVzyudgs9g4r/i8/nE3HGzgl7t/SUFeAbNKZtHj7uGXLb+kqqwKr99LdV411VQD0OXqwmaxUVFYQWN7I2eVnZVQTtXa6rVc95/X4fP7cFgd+LSPmwLCBqAqKuDUKSzAsuXLOe/xa6h7YAsK8CiY1unjgWf7+PKKwW1brVYcyoHL58JaaO3P3wu9brHO8YILLkgq6vG8Y+eFRX4eOXEEq9VKgb2AsvIy6IMjp4/gxMkFVRcMu59UcN6x89h/fD8VZRX927pcXWHfvZAcqfz/LmTf9UybW1IpVaSUKgn+DvwtsCtd/Y82odGMS36xhJt+dxM+7WP+pPkoFHtO78FmsQ2rAkbQVbVg0gLcfjcWZWFe2TxsFtugaMZY9Sa11lHncu5dfi91S+qoKauhsb2R+q31Q7riaufWcucVd2JVVno9vXTc0R3+h3TqFKxaRVDu/uezv+eDbxor7VdLHPz8fRZWbYOfReROKxROrxMULJi0IGb+XqpWVoic3+r19KJQ/W7apjNNYQE3mXQFhlZ8kVJhgjA06ZxzqwS2KKXeBl4Dfq+1/lMa+x81IhNv957ey4meE3j9XioKK7ho6kWcP+X8/uVihhPWXzu3lq03b+X3n/k9V8y8wlT8iBLNGGuer8vdFXUuBxhW0vDtH7idG869Ab/298+zNZVa0MDpJYvg4YdpufZaAKyAt6gADfzrYg9fusbP+sWwahs8FCJwfvxoraksquTBDz8Ys6ZnKqv5h16TEkcJ00qmUV5YDkC3qxun14nT62THiR209bZlLCw/WPFFSoUJQmKkzS2ptW4ELkhXf+kkMvHW4/dgVVaazjRRVlAGDNx8oyVSr3luTUI3qkTKMsVLIo+W/Lxiw4qEymlFG8sT7zzBz36vUcAvLrVy6/+Xx7TiaSyoqGbjlsuZ9vDDUFoKK1dif+wxNHBkWhHK3cNXVpiZuasOmfaCy+FMKpzEIx99JG7fqUiUj7yWwdJca55bQ5eri7beNtx+NwAWLPR6ejnQfoBpnmksqFiQcD+p5JLyS/j6sq9npG9BGGtIKkAKiLQk8m35Ay62AMGb73BdaskULE6m0n3k2Nv72mlsb+T5xufjWpX1W+vxai/LG+HRJXa++XFzPm3ONmPZrF9voiWrqmD9ejhzhlvv+RuqiqpQSqFQfGUFLPyqac9msVFkL2LDxzfELcu1YsMKdp7Yyd7TeznaeXRYLrpY1xJg3dXrsFlsvNf5HirwDwVunxuf30dLT4u4AgVhDCDilgIiE29nlMzA6/eala8jbr7DdaklKorJ1psMHXt7Xzv72/bj9DopdhTHdVE2tjdSYCvgktsK+T/XmfNZ/RcPh+9s45/etAKw/9ZbYc8e8wGrlT9PamfahGnMKp3VL3BB8mx53Ln0zqglulZsWMHMn8zkuievY9/pfcwum83U4qm0dLdwqP1Q0i66+q31uL1uDnUcYtuxbRzqOITb6+63VisKK8iz5jEhbwKF9kKz+gDg8/sozy8XV2A20N0ATSugcaF57ZZ8PyEcqS2ZAiKr89utdqYUTWFqyVRae1rDXIjDdak1tjdGrZcYTRSTqTe5dOZS1m5ei1d78fq8WC1WrBYrM0pmxHVR1pTV4PV7ae5qxuv3YlVWalo9FLvhY+65gAnXf2DDA3xu/V/46LYu3r/mLN6e28OsibOYkDeBpjNN9Hp6KXGURLXYQl24PZ4efNpHc1czhfZCpk+YzoS8CVQVVyVd1X/HiR2c7j2NxWLpT2g/1nUMl88FmGtd6Cg0FVKsduxWO1prXD4X51een1RfwijQ3QAn14ClAKyTwddi3rMOiuXBQzCI5ZYCollLj177KK/e9OqggIjhLpA5GqtGNxxs4LEdj1FVXEWhvRCf9uHxe6gsquwPqogloHVL6rBb7UwvmY7dYsflc+G0mz+nWfZJNBxs6K+ocdU7vRS4fLxV2E1rTytdri5K80uZM3EONWU1bPj4BoBBQTah1qrT68RhdWBRFprONMUd21A4vU40GpvFhlIKm8WGRve7kWvKaijPL8ev/Xj9XrTWuH1ubMomLslsoL3eCJulBJTFvFoKzHZBCCDiFoVkohlDF8UEwhb2jMZwF8gcjVWjg+Ixo3QGiyoXUVZQRp41j86Q5OpYAho8j/mT5lNVXMUH53yQFRfdYHb29VG/tb6/okbZGQ9agZpaydSSqQlHbO44saPfhZtvy++vrBIUoeGKe4GtAKBfuLx+b9j2uiV1OGwOphVPw2F14PK6sFqsUd2mqSAVRbHHFZ5GUOGufVSR2S4IAcQtGUEy0YzDjXwczmKlQTFJ5SKWka7OGSUzONB2gF5PL37tj7v4adTzOHq/ee3rM3NylgKsbh9Wv6ar0EaRo4jWnlZevenVsHZiRWy29rTS4+6hJK/EjK39AD6/qYU5EnE/v/J89p3ex+m+0zi9TvJt+UwqnsT8SfP7zyvsWs8YvQVDRxI9O26x1xhXpAoppK17zHZBCCDiFkGiK00ne2wqiCWK92+5nwdeeYBOVyeleaV84/3f4PYP3D5ke5Hzf+WF5UzzTKPT1TlorjAhykzaA1YrNWU17D++nw9sOoUCdlX4eKvlLc6pOGfQx2LNJxbYCujz9gEwsWAi0zzTaOlpocRRQlVx1bAFJzhHWp5fTpuzjV53L26fm5suuqn/mFStlj4U6f4bygnK6gJzbBiLTfeAvw8qxGUsDCBuyQiSiWbMhrW37t9yP3dtuotudzf51ny63d3cteku7t9y/5CfjebqdNgcbPj4hrirAsTk5ptBa3jqKeqW1NHp6aTkSAt+4Onzbbi9bo53HR/kdos1n3h+5flhLtwFFQt45lPPcPjWw8mPLYTQZXt6Pb0U2AuYWjyVx3Y8lnaXYDb8DY05imthyjqwVoGv1bxOkWASIRyx3CJIJpox3atuw+Dk4y1HtmBRFvJseQDkWfJweV088MoDQ1pv0VydS2cupX5rPV/709dG5PqsnVtLmb2Mtdc4uevDHvJt+cwvmYHdah9klURGm4a6Q0fLgtp8ZHPYqtxgajWm22LKxN9QTlBcK2ImxEUstwiSCdwYjSCPeERLPu50dYbliwHYLfawoJB4hC4NU7ekjsd2PJZQKa6oQRC7dkF+PqxcCUCfv48Lqi7g0umXsqhyEeWF5YOskqBYd7m6ONJ5hPfa3xu10lKhY375vZfx+Dxh+zNhMaX7b0gQxgsibhEkE8043MjH4RItkTs0ejCIx++hNK90xO17/V6OnjnKdU9eFxbF13CwgRufvZEtR7ZwuOMwW45s4cZnb+SVQ1vA5TIiB9ToSWz6h8089P3t/X2EWiWhYj2nbA4zS2dSnFc8KsEbkQ8GVouVfW37aO9rjzq2dJHuvyFBGC+IWzIKybjC0hV4ANEDL2ZOmMmhzkO4vK7+kl9+/MwsnUnDwYaoEZ6xIi5D2w9WK1EotNZhUXzfefE7nOw5ic1qw26149M+Tvac5J93rudZAI+xiO55awoKaM8navRlOoMpIvuaVTqLfaf3cajjEKX5pUNGho4m6fwbEoTxglhuY4hogRflheUsmLQAh9VBr7cXpRRzSudQ7Cge5FIcqj5laPtNZ5qwKAtKKfLt+WHlvna37u5fDTyYBG2z2Hi974DpKCBui94wVZH/smxuVKskncEUkX2VF5Yzb9I8/H6/WEyCkIOI5TaGiBV48dCHH6J+a/2gwAQIt4KGspRC2+/z9GFVVvz4+9c3CxUe3b/eNv3vuwOrZge+hEt8AAAgAElEQVTFrajJVBL55k+38U2rddD5pDOYIlpfedY8rpx9ZdLluwRByH7EchtDxJufScQKGuqY0PatytSYnFc2r78UV1B4zp1yLj7tC6vw4dM+zp26KNCo6cPa1wd2O0QRNkhvMIUEbgjC+EIstzFGrPmZRKygRI4Jth90Ydqt9qjzZTf97ibane39xYUriyq5d/m9oANj8/lwlZeTv3Bh3HNJddWVbOhLEITMI+KWI8TLFUvmmCBDicEjH30kvlBYrbz61FMsW7Ys7rjTGUwhgRuCMH4QccsRErFMkrVe4olBrH3egnyay23c+clJtFVU4K3+FxEUQRDSjohbDpGIZTKa1kvDwQY+6HQx6bSHf/u3JgrcR8hX13BR1UXcu/xeETlBENKGBJQIKSO4KrhFawrcGqfNVEt599S7MSudCIIgjAYibkLKaGxvRAN2r0YBR0tNDpzX7+3PkRMEQUgHIm5CyghGXdr85v3m2RZ82qy/JpXuBUFIJyJuQsqoW1KH0zFQxvmh91vxaz/VE6ql0r0gCGlFxE1IGbVza/nr7j/zwKeqeaUa9lfamVc2D5vFJgnTgiCkFYmWFEbO2WfDVVfB+vUmGvPJIzQcbOD8P9zJVzfs4YqDHvb+7/8v0ZKCIKQNETdh5Fx1FTz8sPn917+G7m5qd+7knIYpTN/yKqxaRbUImyAIaUTETRg569eb16DAAXz+80x7801YtWpgvyAIQpqQOTchNaxfb4QsyJtvcuzaa0XYBEHICCJuQupYvx4sgT+p6mr233prZscjCMK4RcRNSB2rV4PfD9XV0NTEWT/5SaZHJAjCOEXETUgNq1ebObdVq+DIEVi1imnPPmu2C4IgpBkJKBFGTqiwBefY1q/nWHMz04NBJjL3Nn7pboD2evA0gr0GyuqgWKJnhdFFxE0YOS++GDUqcv+ttzJ9+nSzXxifdDfAyTVgKQDrZPC1mPesE4ETRhURN2Hk7NkTe59YbOOb9nojbJbA6u+qZGC7iJswisicmyAIo4enEVRR+DZVZLYLwigi4ibEpeFgAys2rGDhzxayYsMKWZNNSA57Deie8G26x2wXhFEk7eKmlLIqpd5USm1Md99CcjQcbGDNc2to6W5hctFkWrpbZNFRITnK6sDfB/4u0H7z6u8z2wVhFMmE5bYGeDcD/QpJUr+1ngJbASV5JViUhZK8Ell0VEiO4lqYsg6sVeBrNa9TJJhEGH3SGlCilJoBXAPcB9yWzr6F5Glsb2Ry0eSwbbLoqJA0xbUiZkLaSXe0ZD1wO1AS6wCl1C3ALQCVlZVs2rQpPSMDuru709pftlPqL6XldAuF1sL+bb2+Xsod5QldJ7meqUWuZ2qR65lasu16pk3clFIrgJNa6+1KqWWxjtNa/xz4OcDixYv1smUxD005mzZtIp39ZTtrq9ey5rk1WG1WihxF9Lh7sHltrL16LcvmLhvy83I9U4tcz9Qi1zO1ZNv1TOec2+XAtUqp94AngKuUUr9JY/9CktTOrWXd1euoKq6itaeVquIq1l29ThYdFQQh60mb5aa1/jbwbYCA5fYNrfXfp6t/YXjUzq0VMRMEYcwheW6CIAhCzpGR8lta603Apkz0LQiCIOQ+YrkJgiAIOYeImyAIgpBziLgJgiAIOYeImyAIgpBziLgJgiAIOYeImyAIgpBziLgJgiAIOYeImyAIgpBziLgJgiAIOYeImyAIgpBziLgJgiAIOYeImyAIgpBziLgJgiAIOYeImyAIgpBziLgJgiDkKt0N0LQCGhea1+6GTI8obYi4CYIg5CLdDXByDbj3gacFel6A5uug9f5MjywtiLgJgiDkIu31oD3gbQblAUse4IO2tePCghNxEwRBGGsk4m70NIL3FCgLYAMU4AC8RvhyHBE3QRCEsUTQ3ehrAetk83pyzWCBs9eA7gOsIRt9oAqN8OU4tkwPQBAEIafobjCWkafRCExZHRTXpq799nqwFIClxLxXJQPbg6+eRlATzHvtxlhsPsAP1nIzrhxHxE0QhNxltIUmsv38pdD1mBGfUKuKdanr19No2g5FFYFzh+kr2LfuAesE8J0B5TIWm7UclMNchxxH3JKCIGR3yHhwbAdmwf4psH9mYmNM1H03knFFtt+21gRxWErMXJelxIhNKue47DVGuELRPYBzwKIL9m2vhrwLoPCDYKsExwKYkkKhzWLEchOE8U7wJj2a1sZIx6Y94G01MRH0gHvv0GOM574bznlFWmne1ijte00Qh336wOdUUWrnuMrqAuceaFv3gL8PVIF5H4oqAn8rVL+auv7HCGK5CcJ4J1QERsvaGOnYfKfBYgWVB1jA1xZ9jKEWaO/L4HOF7x9KaGJZsNFyxlyvg6ctov3CQBBHCLontXNcxbXG+rJWga/VvE5ZB3nnR7foxsH8WjTEchOE8U6sOZxsiKgLjk07QdkDG62B9xFjjLRA3e+BZzd47GApAtsMsNhj3+zjWbBhOWMWI7J+N/gOg28CWMsCQys3ARz+rnCrqiLFc1zFtdGtz2gWXar7HiOI5SYI451YczjZ8MQfHJvKB78L/N2gzwSE5lj4GEMtUF8HKD+gAY8RHM8+8LTGDqaIZ8FGzRnLN+27D4H2BwTNAeV3Draq0uHejWXRZdq1nCHEchOE8U6sOZxseOLvH1s+0B6ywwKeJphw88CmUAvUexSwY0TIGRBvK1gKY9/s41mw9hojYiovZJ8FKAL8RkzsNeaaFdcCt8c+p9GM4Ixl0Y1DxHIThPFONjzxx5rrCo5NeTDP4jbAYdyM9png3DzQRqgFqp3GmsKNEbUJRpg8jbGjJeNZsGV1oGzGAtQatBfwg60KCq+Emt1QvXHoazZUBGc2R62OMcRyEwQhs0/8Q0VrFteCtQIc5wSspQDaHz7nFmaB5oPuGPgdZX6CbsZo5xrLgi1aaj6jCsDfBniNy9JabubdvKeMGCVihQVdn34PeHcNzCW2fsfsz9ao1TGIWG6CIGSWYLCG+xA4twXmsDzhkZCJzguqYnDtBX8vZr7NAdgGLC1rdexAmWgWbMkXTFK2rwXyzjH9qTwjfpZyUAqUN3ErzNNoIjg9BwKVQ+ygfeB6ywhcNkWtjnErUiw3QRAyi2tnIGfMGoiIdIPnKGjXwPyUa6cJ/7dVgW3a4HnBUOsv/2Kz3/lOwNLzGOstGC1prYo9lkgLtmlFeC6bfbqp+hFsQ/lil8GKZoWpEvDuBSzGzdlPPrh3m7GHkqmo1WzOfUwQETdBEDKL7gskZwdvRzYjGr6OgRusfbaxmLzHTdRk/qKQ4A2M1eNtNhZfUMjsM8DbAnkLhh8oM1SaRKx9sRLItQokXNsxlqXPuFftNeZzumfgWMhc1GqqE+AzgIibIAgZJh/oCbgOrZgCv8q47WJZTdUbBz7e3WDcesph9EJ3grs9UK0j3xwfjEysSDIy0V5jrJZYghNrXyxR9LdC3kXgfndAiB3VxopznGvSCYLHZjJqNZtzHxNE5twEIZfJpnmTWGPJX2RcjcqBcSE6Au9t0ctJRd5g2+sDASRewBk8EHSveV9Wl3g049lnw+rVA+/L6ozA+Lvgjr2w/BXzvqwufF8wz83fBx98G+48Bc63oO8V6P0L9L5i3t95Cq5uDiR928zx7kMmKGXyvZmPWg2SzbmPCZKQuCmlLldK/UgpdYdSqjpiX5lS6sXRGZ4gCMNmtAsHp2IsrfeD+yB4DoK/A7RloHK949zoN1g1IVwke7diTDYnEEzcxrzapiYXkHHVVfDwwwMCFwwyueskPH4cLp8yIDixUiiWXggbWuF7XYGgES/gNu83tMLlM0w6gVIDP1oP9Fe9MXExHi1iCfcYWk1gSLekUuqjwDPAdqAE+KZSaqXW+veBQxzAlQm0kw9sBvIC/T6ltb57uAMXBGEIsmneJNpYfGeg7XuBG3se4AF6TDDJpHug4OLBofneUwFhCEQouveBPs1A1RCNETiLiZy0TQ239JQyr3PsLLmkDBY/PnAtgvvOPdcIHMD69XD70/DrJli1yrwPJVoKxd314KyAx08F3gP3AE8An7HDN18HXQy2WWArN8f4u7JrPqu4lv6yY8N16WaYRObcvgN8X2v9fQCl1JeBJ5VSn9NaP5NEXy7gKq11t1LKDmxRSv1Raz3+ylULQjrIxLxJrOob0cbiPWUiIi2FmFtRwLWorCY5e/LtDLrBaiv42wPpAk4zb9U/T2dhwGpTpj/nW4DfWHj5Swf6PuQh/9BJcHwK/v0/oeRDA/veeQeqq43AbdgAnZ2wciVs3gwLFoDXa358PvjEJ2DdOti0CT72MfD7wddt9FVhBO1l4DhwA3CXFVMOzGfSAZhnBC7a9zLaa9ENxRivdpKIuC0EVgbfaK1/ppRqAX6jlPo8sCWRjrTWGugOvLUHfnTsTwiCMCKGCoZINfHCx6OOJVg93xrSiNUIVvBGH3mDPTBrIG0AhbH2CPzuwDxDW8x77zGz2TZvYK21A2fBvP2A0R/rhnbYECJsQZqazGtnpxG6m2+G5csHH/f88+a1tdUcG4kDI2xTMRYcHsAeMDItpkyYrXzw95JMKH6mRTBLSWTOzQmUh27QWv838HngV8CnEu1MKWVVSr0FnASe11pvTWKsgiAkQ7rnTeIVHo42FmXDuCN9IY34TJh8LAEOpg1oHbG0TKBAsqUSLMXmvSUP7PPBXhFwhwbWWju8DIhz85swAcoDt7yqKiN0GzbAzp1w+DB0dBjLTWvYvdscd+QITJwY3k4BpvrXVIzA3QOmZFd1oDSYNtZntO8l0WWIsmleNctIxHJ7E7gK2Ba6UWv930opK/CbRDvTWvuAC5VSE4FnlFLnaa13hR6jlLoFuAWgsrKSTZs2Jdr8iOnu7k5rf7mOXM/Ukvz1tDHR8Y/MKHyKAuth+nxTOdr7GTqO2IBk2kmM903ahR8reZb9WJULn87D5a/AwilePzh4LB3ulUwv/B8cljY0XjRgwY/bP5G9p5bTcXDwGJdUKOwWPxblAvyokH0aH/hO4PJNAfJw+qZilNCU4Sqy2bGqbs60d2DbMZfiRQcDnzNH+Sst7Hj6fib/y2amPfssx669lv233spZP/kJ037xC46dOMH+W2/t76/8lVdwTplC79y5XPCrXzGxowNfQQEnPvQhKuybcPz3GfyfVqi7rXCPF/UE+LWFM9+egM2iyLe0oJSmo8M+6Ht536RduP0T+8cePEOHZRevh1yX8ybeicPixad9wBkArMqL+8yd7OpIb6ZXtv1/V1rH9wwqpa4DrtRaR33cU0rdAPyT1jqKzR633buBHq31A7GOWbx4sd62bVus3Sln06ZNLFu2LG395TpyPVNLzOuZabdUsP/eFwLRgQ5jNeEDvxfyLoA5MabWuxug9bvgfse8dyyEyffFHn/TCrMKt6cR41gMEqgdCZC3GGwBK8bvMa4/HUgR0H7IPxfmbO8XtTDmF8G+nsHBI6tXmzm4z30OTpyAF18Arw/OcsALHwLX58F/IcyfP3DsyjK4r8bMp3mPwXcb4Qk/fHYq3DvNWGuxQv2bVpjxW0LcuP6uwTl+jQuNxRZZc9PXaiIu00i6/r8rpbZrrRcPddyQbkmt9TNa6zql1MdjHPIk8KcEBjQ5YLGhlCoAaoE9Q31OEIQ4ZNotFdq/tmHsIJcRlX71iPMAXVxrhG9Bl/mZszW+MJfVmTQBS0mgcYv5UXn0S5V7twke8bSaNdy02+zTfpMEPmc7EC6N/ezrMdGS69cbkTr7bLO9vh4cDvj1r+HPfzbCNs0OX5kTEKF7YNoRc+yLLxpx/Pf/HEgTsEyCtWfBDVb4a+BahQpbZA5g/tLEXMqpykfLpnzIFJFMEvfjSqlHlFKFwQ1KqRnAS8CtsT/Wz1TgJaXUDuB1zJzbxiE+IwhCPBKdm0lL/35QhZjbijOQjD0PdFfq+gvmltkXhGx0BAQsUChZWU2xY0thYF9gsVKlYf7J/k9ZAM4qZBDvvAPnzDLWV29voAtHoP9i+Gw17L0QXrkcPjZ18DXfs8eIYzBnbcpPzTWwFcMPL4cXLw6/JtEeULoeM0Wbh0roTsW8aqYfkEaJZMRtCXAZ8JZSarFS6tPATqAPuGCoD2utd2itL9JaL9JanxdMLRAEYQR4GhOr4pGO/lV+ICm52PyevwiseamPziyuNRbepB8GxNQd2OEwAm+bZcTGezRQk9Jq3KQqf6CNCfl4PlUMfz7HuA8j2ROwwpqa4LXXzO+9vdDVBd8vhrwJ4cfHu+ZDPYDE2u/cPHRCd7Jr8UWz0DL9gDRKJDzjqLXeoZRaDKwHXsE8Jn1Da/3T0RqcIAhDYK8xicy+04G1wfLBOgkc89PXfzDE314N7v2YiMeCASsiXm3E0Kr/ug8IiGIi84aTbzeJ3s3XAf6Bgsm28kA0IuB5LzAfFbjV7SmGe1zwWye93nNweI7AnR3GR/lERPtTFdxWBVO/D90h40k2xWKofMOR5iMmmo8WK73A320eAobbf5aSbG3JCzDVSA5gHpcuVSr0GxYEIa3kLwXPkYAw2Myr50h4wnKihD7VH7oMDi0Jf8KP9tQf6hazlIJtOmA1N8dErIiTa4w4e1vNTdZ/2gSMJOoWK641K2HnnROoURkI4dc9JjhFOwPFlENWz167AFYWUfr0u3CPNkIcmmtXoOBtB7xog486oecFI6Ct95v9yboCh5oXS1cdx1gWmu4b83Uko5GwuCml7sSUz/ofjMhdAiwAdiqlrhid4QmCEBfnZmMxqQLAa17t1WZ7MoTOu2AH19vg3mEqgvha4PiN0HLT4HkZCHeLOeZD+Z1GaIJLv8QSqeDN1nc6sJZbHmAx67Yl4xaLJTaT74O8C41bMliQ2T4PcMGdHvyfxJTIWt4LTwRy7aYq6NPwz16MBeoxn9e9cPpbRvQjz3koER9KDNOVjxjLhU3+mK8jGY1kLLdVwEe11rdprd1a673A+zHG/NieeRSEsYqn0VTQz18EBZcOVNhP1qUU+lTvPQoWG2AD3zGzTXeCrz36vExosd+yuoGVq4cKTgjebLWTAcvJGnCvJumWiyU2k+8z1mTeOZB33oBl+wsvlqcDnz8eeL3BCi/mww0WE7J/D4OTxd3vDoj6UPNhQUv35NeMC1Nbo4thsvNmsRgq4jGWhZi/KHtWI0ghyWT5LdJanwrdoLX2At9SSv0htcMSBKGhwUSgNzZCTQ0sXz6RQWlEqSqxFTrvo52BxTQJyQ/zDFSuDxJr+ZlEizX3jz0fM8thw1hL+cmfQ6x5p8gCwHta4e/d0BElPUFZjJX2/UnAKSNw9ATKZoGxBbzhoh4kMtcwf2kgYjMwvxVcm23KT2OPczhiEmul8mjlusrqBheiDs6JjvE6ktFI2HKLFLaIfUn6QARBiEdDA6xZAy0tMHmyeX3wwbNoiDSAUuXSCn2qV/mYkli+gQhDZR8QvCDRBCiZ6M3g2K2TwO8zRZTxmyVvhjqHZPKygpal+j2s6DDCFjyVEkxB4xuA33rgR8tg6gb4Xp7ZFpZ77jf1ICPPJ1oofdta80AwmhGIof36ugCfSRb3dUTvL1UW4hhBFisVhBTQ0AArVsDCheZ1kAglSX09FBRASQlYLOY1L89HfeS9MVU3rFCRtM0wlUXwgnVaoA5kqVlgM5VJxcGxO+abiiKWYpPs7FiQWCBKonlZfwg4lubMgXOA8zD1iz8NvIaxzO4GblwBj26EunVGxO4G/hhsJFABRanBa8odXzlYyIJ1LENJdQRimJXsMnOKBIoxx+ovW9aLSwPpLT4mCDlI0MoqKBiwstasMSuh1A7z3tHYaNoKpaDAR2O0e2MqXEqh7jt/oymZhTbJxtYqqPihOW6o9b3iub5i9Zvs2BN1fe7bB1dcASdPwle+Ag8+CE/b4MPewPIzEe3WB8b94nPwf6ygCxlYAFUB+YAHPE1mLToXJoBHd5tlbiyFgRW2Mfl3/t7w9lMdgRjqSu537VpDXMljP+JxJIi4CcIICbWyYOC1vn744lZTY0SyJGQqra/PyllnjWyscUlEaBLan8JFLqPVzRwqL8zng2uugeeeM+9LS01NSDDi88dTGOGGgeqSFtPP3cB3F5n14nAbC027BtIIyDfCplTAUgqszYbFiF5Q3KzlpiqKvysxkR8OI80xzHHELSkII6SxEYoippmKiohuZSVIXR309ZmCGH6/eXW5rNSNhXtVqlxfsdyPqiS+67OoyAibUnDHHWaJmksvNfsmfoNg0UvdX2w5ULar53nofRl8LuOaxR8QNTtgBUeNcaEqzPFmsbjA7x5jqfUv5+MwKRGjOb81khzDcYBYboIwQqJZWT09Zvtwqa01bs3QaMnPfGY/tbUXjnzAY4VY7kdvJ/iaMXl9hcZKOgpceJ/Zf/HF4HLBli3GpA5l8u3Q+UvwHkD1l04OLB5KESYo40BgHbh5gRUFesFaYsTi5NdMnzoY3Ykp7eX3mWN8rRHW6u2jd30irWTHfKhcP64FLRQRN0EYIXV1Zo4NjNHQ02OsrpFaWbW14W7NTZs6Yh+ci0RzP/pc4D0E9lkmYMPTBV/qhJd8sPQH8PLV8Ne/xm+36iE4uYaubi8T8k8F8tgUOGaa/a694D1s5h0t9vCladprjLjqjkBqRKC0l8ozUZbpFpYcDOFPFeKWFIQRErSyqqqgtdW8jiSYRAgQLfLS12SCJ+zTYeMUuNBrhE0Bl12WWLuBKE23v9yU/CIfHGeZ+TJrmbGAtC+6OzF/qSkRhhVz+/QDLrCUGasuR5aLyQXEchOEFBBpZQkpIFbkpeNsuPp12BMQvnOK4InpsOhfEm+7uJZdHTaWzX1g8KKgFrupV1kdZUWuYLkzX1ugbqUFs35dJzjmRE+eFjKCWG6CIGQnkTl8TAb/IiM+cwug0AKPL4I/nA1lwwwjTTYJPrLcmcURqInpzanlYnIBETdBELKXYOTlX++ABS/Ch5uM+Dw0C3Z/AP7GPrIiv8kmwUe6SrUT0OFrxeXAcjG5gLglBUHIPNHy2YprobkZLr8cDh82x5VPhSk/Sl0eHSQXlBHpKlV28LvAUT1wzDhPns4WRNwEQcgssRbR/NY58LP/NscUFsLTT8PVV5v3mZrPGpSkvgB8J0DZjFtzNJK1hWEhbklBEDJLrEU0S3aaROybbzb5FUFhyzShSepztkLVI7HdmskUeM5VMnQNxHITBCGzBPPZTrvhujegwwtv/w3c3Av3OMHhyPQI4xPLrRnLIh1PkZQZvAZiuQmCkFnsNfCNXXDxX+GwE5w+6Dpjtme7sMUjlkU6niIpM3gNRNwEQcgczz8P85+Hp9rM+09MgT0XQ6F7+BGQ2UIya9vlKhm8BuKWFAQhc/j94HTDnKnw3+dCaXNgiZ0RRkBmA6laJX0sk8FrIJabIAjpZfVqmDjRLE1z9dVw9Cg0HoOLns+tRTRTtUr6WCaD10DETRCE9PDcc6ay9MMPQ2fnwHpr06eb11yLLEzVKuljmQxeA3FLCoIwunR3w/vfD7t2mfezZsFf/jIgapC9kYWxkssTRar2Z+waiOUmCMLo0tpqhM3hgF//Gt57L1zYIDsjC2MtljrWLcpxgoibIAipZ9Mms/bPgf8E21fh8Zmw9yr4WFX047MxsjAbBVdIGBE3QRBSR3c3XHghLF8OJ07A3V8yFs/ls4HW2JZPtLXbMh1ZmI2CKySMiJsgCKnhm9+ECRPg7bfBZoP7z4f7ahKzfLIxsjAbBVdIGBE3QRBGjs8HDzwAWsOKFeB0wie8iVs+2RhZmI2CKySMiJsgCMOjrw+WLDGRj1YrPPEEHDgAv/udeZ+s5RNakDgbct2yUXCFhJFUAEEQkufuu+Hee02FkRtvhD174Prrw4+JXPtsLC4HI6H8Yxax3ARBSJzXXoOyMvj+942w/e3fwjvvRD9WLB8hg4jlJghC4nzoQ3DmDEyZYsL9zzkn/vFi+QgZIm2Wm1KqWin1klLqXaXUO0qpNenqWxCEEXDvvfDoo+b33/4WfvxjE+Y/lLAJQgZJp+XmBb6utX5DKVUCbFdKPa+13p3GMQiCkChvvQUf/CC0tUF+vplb+8hHzI8gZDlps9y01se11m8Efu8C3gWmx/+UIAhpx+2GK6+Eiy4ywjZpEmzdmulRCUJSZCSgRCk1G7gIkP8xgpBtXHYZbN4MFgv84Adw6hQsWpTpUQlCUiitdXo7VKoYeBm4T2v9dJT9twC3AFRWVl7yxBNPpG1s3d3dFBcXp62/XEeuZ2oZzetZcOgQZW+8wbFPfIK85mbO/tGPePv++02x4xxF/j5TS7qu5/Lly7drrRcPdVxaxU0pZQc2As9prf91qOMXL16st23bNvoDC7Bp0yaWLVuWtv5yHbmeqWVUrmdwwdAXXjDvXa6cFrRQ5O8ztaTreiqlEhK3dEZLKuBR4N1EhE0QhFHmwQchL88Im8UC3/veuBE2IfdJZ7Tk5cDngJ1KqbcC2+7QWv8hjWMQBAHg29+GH/7Q/H7ppSZnraAgo0MShFSSzmjJLVprpbVepLW+MPAjwiYI6cLng//6L/P7XXfBnDnwyismElKETcgxpPyWIIwHfvELk6v2qU+ZEloFBdDYaCIjBSEHkfJbgpDLHDoEV1wBzc3m/UUXwfnnZ3ZMgpAGxHIThFzltdegpsYIW0kJvPQSvPGGuCCFcYGImyAkQEODWYNz4ULz2tCQ4QGdfTasXh1936c/bfZfeilMmwa33mqKHUvYuzCOELekIAxBQwOsWWMMnsmToaXFvF+3DmozVfD+qqvg4YfN7+vXm9fmZliwAHp6jCsyuE0QxiEiboIwBPX1RthKSsz74Gt9fQbFLShoQYFra4MnnzS/22xw552ZGZcgZAkiboIwBI2NxmILpajIbM8o69ebBUODAgdw7rmwa1fmxiQIWYLMuQnCENTUGE9fKD09ZnvGaGszr2/R8f4AACAASURBVP/2b6a6CMD06SJsghBAxE0QhqCuDvr6oKvLGEpdXeZ9XV3ibaQsIMXng49+1CxDc8stJqjE74fqajO/FivIRBDGGSJugjAEtbUmeKSqClpbzWsywSTBgJSWlvCAlGQFbuozz5hE7I0bQSnYts24JFetgiNHzOvDD4vACQIy5yYICVFbO/zgkZQEpMyZw/z33jO/X3yxScZ+9FEjaMHgksggk+B7QRiHiOUmjHtGO4etsdEEoISSUECK221+ACZNwltUBFu2wPbt5jVU2IKsX2+2v/hiysYvCGMRETdhXJMql2E8hhWQcu+9xtxbvty837aNv2zcCJdfbt7v2RPbMlu/3uwXhHGMiJswrgl1GVos5rWgwGxPFUkFpLz2GpSVmTw1vx8mTEjdQARhHCHiJoxrhu0yTIKEA1I+/GFYsgQ6OowZuXMn/PGPqRuIIIwjJKBEGNfU1BhXZDDIA0Ynhy1uQIrPB1YrlJeb6iI/+lFyeQaCIAxCLDdhXJOKHLZh8/zzeAtKaC2eY4JZOh+nYaMT6uqyr1CzIIwxRNyErCIVN/Vk2hhpDtuw6OyEhQvRf/u3WJ3duP3WgWCW26zcf3/0IJft2yeO4qAEIbcQcROyhlRELg6njdpakxe9e7d5ra0dxfSAO++EiRPh3XfxKgd3zXyMv/+bQ2HBLA88ED3I5amnZqRoEIKQ+4i4CVlDKiIXU9FGNIG88Ua47LIUiF1ZmXn99Ke54GwXm2d/Pmx3UZEx7KIFuRw/LouMCkKiiLgJWUMqIheTbSOahRYpkB4PnDwJ7747DIuyuRnmzIHSUvP+ttvA5YInnoiZ/1ZaGn371Kl9CV0DQRBE3IQQMh3EkIrq+8m0EcuFuXNnuEAePWqCGL3eJKxBnw+uvx5mzID33jMK2dlp9jkcQOxglm98I/r2T37yaOIXQhDGOSJuApC6+a5QcUw2ACIVkYvJtBHNhel2m3N/7TXYscOsLON0gtamZnGQuBblM88EJ8lMgeObb4be3gHrLUCsYJbbb4++/ZJLOhK/EIIwzhFxE4CRz1VFE8cHHzxrkDjGsw5TEbmYTBuRLsy2Njh2zIii2w3t7WZ5NK/XGGLV1QPHxrUoS0uNpXbeeaaRn/887ngjg1nibRcEITEkiVsARr7adLTK911dvrDK90EBLCgItw5DxWck1feDJNpGZAL30aNG1LxeY3CBETqvFyoqjPF18KB51RrmzzfnVLvcB9dcAy+/bFyPV11lqowELLXgPF5jo+mzri7++JI9XhCEwYjlJgAjn++KFshRUOALE8dErcN0zf1Fc2EGhc1iMT9KmeIhZWVG/Hp6zLa8PDh8GP7yyX/F78iD554zgSKvvmoaDxG2ZNy9yRyf6TlSQchmRNwEYOTzXdHEsa/PGiaOiUQypqNKf5BIF2bQWguKmlKwW5/NOu9qmpvBbjfjLSmBBfaDtDkLuKvz6yi/Dy691FyApUvD+ggV9M5OOHTInO/KldHPKZkHgHRdJ0EYi4i4CcDI57vq6szn3nzTBGO8+SZ0dNjDxDER6zDezX00LJXQua3KStOn1gM/L3IVX9IP8+O+1Xg8xooD+D9995CPEycOrp+9DbZuNQONICjo7e2wf79xezoc5uEhmhglmsqQjtUMBGEsI+Im9BN6o6+rMzfKZIREqXBhCFpCQRKxDmPd3HfsGF1LpaHBREWCGZvfb8ZfZ1/PL6yruNn3MP/ruoTjnQU81P15Vnp/zeOWzzG11IXz3EtithsU9KYmI0I2m2m7sDC6GCXqHo53ncRVKQgibmOCdM+tDMflVV9vgi4uvtis2nLxxVBa6uE73xkYe309fOEL8a3DWDd3p3P0LJXg+ZaWmnD/vLwBt2ReHnT8YD2uskou9r9BPk5Wen9tBM/xKxwOOHUq9ncTFPTeXjNur9eI24wZ0S2yaBZwU5PZ9sUvvq+/j2jX6dgxYyGKq1IQRNyynkzMrQzH5RXNkvB4FG+9Bfv2mXH/+c9wxx3GgxcrCjCWdVdQMHrrrgXPd8YMmDfPtOtwmBKQzzzl4yv188hvPwGAApqo5usF65k1y1hgXq/5bvbtg+uug5kzB4Qu6O4N5tA5HKaP8vLYATuhFrDHY1IU2tpg4kR3//e/dOng69TSAlOniqtSEEDELetJ99xKQ4OJaH/33YEkZhhaSKJZEidO5GOzmQpUTqfJFfP7TZt790YX6aAY2GzwxhvmuOJic9MeafWSWIQKc3k5LFpk4kMqKuD9N51L4fGDeAJZM8ft1VTTxDvLVjNvnjkmGCzS3GzOsacnXOi+8x3TbjCtAGIH7ERawPn5JpClrc2IXvD737x58Bxpebm5TqGkeuFVQRgriLhlOaleKTqaizO4beZMc0MOzje53XDggLmxDiUk0Swut9vaH1Lv8QyE2Gtt2own0l1dsGCBucn7fHD8uHH/DRXNORwXbk2NaX/HjoHKJMePm+0/rryfbksxNrz8z7RVrLz8CP9VsYrqjQ+z8i+r+7+b4JyaUibF7cAB44psbTXtHT4M06eb/Xv2GPGOFrAT+X07nUbcgvOBMPD9RyZ6n3/+wANAW9vA+Zw6Ja5JYfwh4pblpKLeYpBY1e5vusn83tNjhMTnG7AwLBZzYx4qLSBatOVZZ3Xh9ZoIQ79/4Fir1dysY4l0NGt18mQTzRhvvi5pF+7ZZ8Pq1SxdCkeOmHO02aCy+yBb95fy2KvzmXfwTxT5u/mlYxWf7VjPjh1w37T1/HbiKj7T8TBf3r0aGCjR1dc38HAQ3A6m3c5OuOgiI0IVFdEjUSO/7/x882AQWvor1vcffMA4etSIa1+fGcfEiTL3Jow/pEJJllNXZ25MYMSgp2f4K0VHqyJy4IC5Kc+ZY27EDocRN6WMxdAXKESfSFpAZGWQH//4EN/73oW43QPzSGDazc+PfZOOVS2ltdXM1yVzfsHtUcd+1VXw8MMsrIbq6vW0tcF5Pa/ykvv9KOCgaw5/432Rn1tW8Q3HeuxWY83u2wc/vWA9H5gMi597ka4uE3gSrIsM/6+9c4+Oqjr7/3dnMrlIiCFiuIiC6ZKQZISQSMBKYvISEEuWiGjXqxSCClQUIbbV4k9pa8UGWwpBwLisgCmFilC1vgrlR2yQ1Gr6JhAw4A/UAEIACStccsOZzDy/P3bOzEkymVtOzlx8PmvNGubkzNnP2TPs7+y9n0tnT9H2dvl3Rehczby7ft7XXSeFNz5e9p+r+EPlB8ZDDzk8Mm+8UQagNzW56Ic+wmq1orGxERaLRb9GvSA2NhZnzpzxtxkhg9b9aTQaER8fD4MSf+MluombEGIjgHwA54nIpFe7wY4yYGmRjsmZaFgsDtGJipKDt8Egj2dkyEFx8ODu7XmSIioj4xKWLQNefFHOwKxWee2wMDlY9zRId02LBXg2W/UkhVhZGfD888Dhw8Dl5hIQgGmnSmAZAuwfMgm/PXw/AMAGILH5IAbEEpq+A8LapEApeScPHgQen/QqspcDg/dJ4b10yfHjQJmpKvdttTpmX67upevnPXKknFnv2wfU1kbAZHL9+eflyVlhcrJs++JFuTzZ1ib3LxUnFz1obGxEVFQUBg4cCNE1LiQAMJvNGDp0qL/NCBm07E8iQnNzMxobG3F91//UHqLnsuSbAKbq2F7IoFUSXWdLnEajfADSW1AZvCMjXe9rebr898wzMkn+lCny+nFxcjaSlNTzbNDXbCnq+1MGdfWeU1mZFIr9+zvyQ0L+B7ABuPdsSSdhC4P8u9nsEKXWVofHoxDyvktLpV0nT0onlMhIKeBKGIFybnu7vH9fKh2kp8vP/c03/9ejz1/pB3XguMEgH3ouT1osFsTExASksDGBjRACMTExvZr16yZuRLQPQKNe7THdcSYa117rWLaKiwOGDpWDYP/+PWcp8daDUxHnkydl0c9vvnEt0j1lSwEcziITJkhvQrXjiHJ/9fVy6bCtTdp37bVyUH/+eXk9Zdk10kCdhEygs+BFGwlWq2y3f3+HaIWHO+5ffd/Ll0sBM5mA1FT5o8FmA265BRgzRs6G3WV+0SL0Q+mH48c7J4AePlz/0AAWNsZXevvdYYeS7xHORGPDBuCNNxzHkpLkTOvkyZ4FyBcPTm+9GLvOVgE5yB87Jj0TKyuBqiq5j6UIACDv79IludQaHS1jyoYNk/8+fNix72UP0u4QOEXYBBzCFh0thezqVZkTmciRvUQpf6O+b3X/WixAVhbw4YfSO/KzzzybeWsR+qHYYbNJm9Wxdd+30ACDwYC0tDSkpqZizJgxWLVqFWxq7yYnnDhxAlu3bvW5LZPJhAceeACtra0uz//hD3/o9prFxcVur+OK//znP8jOzkZSUhJGjRqFefPmobW1FW+++SYWLVrk0zV/97vf+WyPQmNjIyZPnoxbbrkFkydPxsWLF3t9za4IUjZcdEAIMQLAB6723IQQCwAsAIBBgwZlvPXWW/oYB6C5uRkxMTG6tResPPusCY2NEbjmGqv9WGurAfHxZhQV1dqPKf1ZXR2HtWtvQWSkFdHRVrS1GfDddwY8+eSXHhfgfPZZE06fjkZDQxQsFvmLTvnqJia2wGAge/tz545DXJy5k1MHEXDsWH9cvRpmFzYAeMX6BBbiNQAOgQOAN8IXYIlxHQwGwGwOg80mYLVKwRkxogX9+7f3eN+9oSfbL12KwLp15V59Pz39nPqK2NhYxMfHe3z+v/4VhY0bY3HqVDhuvLEdjzxyBRMnXnX/Rhekpqbi8OHDAIALFy6gsLAQGRkZeOqpp2A2mxHRURVdzWeffYY//elP2LBhg89tFRYWwmQyYd68eb2yf+LEiXj//fe96keFhoYG3HvvvVi7di3S09NBRNi1axfGjRuHjz/+GIcOHcJvf/tbr6+rvk81PfUnIJ2L1I4hRUVFiIuLw8KFC1FSUoLLly9j6dKl3d7X2NiIK1eudDqWm5tbTUS3uTWUiHR7ABgBoNbT8zMyMkhPysvLdW0vWNmzhyglhSgjgyg7Wz6npMjjapT+nDZNnpOT43hkZMjjnpKcTDRgAFFMDFFYGJHBIB9CEMXHSzuSk8lle5mZRFFR8j1hYUTrsZBsALUD1DHJ6fT6NcNCiokhio2V77vpJqLhw93fd29w1VeefD/37JHnJifL++1re11RX1/v8bmefqe8pV+/fp1ef/311xQfH082m40qKipo4sSJNHbsWBo7dix98sknREQ0fvx4io2NpTFjxtCqVavo+PHjTs9z1VZJSQktXLiQiIj++Mc/UmpqKqWmptLq1au7nV9eXk533nknzZw5k5KSkuihhx4im81Ga9asIaPRSCaTiXJycqi9vZ0KCgooNTWVTCYTrVq1yuW9L1u2jJYtW+b0b5s2baInnniCiIgKCgpo+/bt3ew6c+YMZWVl0ZgxYyg1NZX27dtHv/zlLyksLIzGjBlDDz30EBERbd68mcaNG0fJycm0YMECam9vt19n2bJllJmZSRUVFZ3aHzlyJJ05c8bezsiRI53a6ew7BKCKPNAPXpZkvMbbCgJaBKInJsp9JMXbUkGJmVN7IPbkkPLSS8ALLzj2wnLxT/uemw0AiDq9nmL4JyIipENG//7dl3B9qRTujt6UHuq6X2e1SsUOD+87e7VCr0w8iYmJsNlsOH/+PK677jrs2bMH+/fvx7Zt27B48WIAwIoVK5CVlYWamho89dRTSEhIcHpeT7S3t2PXrl249dZbUV1djU2bNqGystI+Izxw4EC39xw4cADFxcU4cuQI6urq8Mknn2Dx4sUYOnQoysvLUV5ejpqaGtTX16O2thaff/45Hn74YQDAa6+9htdee63bNWtra5GR0XNSb3ds3boVd911F2pqanDw4EGkpaVhxYoViI6ORk1NDbZs2YIvvvgC27ZtwyeffIKdO3fCYDBgy5YtAICWlhaYTCZUVlZi4sSJna797bffYkhHOp0hQ4bg/PnzPtvZE3qGAvwVQA6AgUKI0wB+TUTezfuZgMGbitm+uvarww1iY+UxxVtRvQ1BJAfvFSsctrkKnxg8WMakjbx81C5k5XsIeR3PuZMFwgDcZD6Km2+W4tK1WrindnsbuuHK9r17XV+7pzi/gQMdNVQDld5WgvcG6ljPtlgsmD9/PmpqamAwGHDs2DGn51ssFixatMjteW1tbUhLSwMAZGVl4dFHH0VJSQlmzJiBfh2/7u677z5UVFRg7Nixnd6bmZmJYcOGAQDS0tJw4sSJboKQmJiIuro6PPnkk5g2bRqmTJkCAHjsscd87AnXjBs3Do888ggsFgvuvfde+72p+eijj1BdXY1x48bBbDbDarUiISEBgNyDnDlzZp/Y5gm6iRsRPahXW0xg4UsgujILiY6Wg15LixS4K1cc1bKVPTcli7+ansS3uFheLzEREHulsI3PIAwudrynrEPgBKQQeiNOXe1WnF28mTH1ZHt1dRw2buz52noKhNb4+gPIW+rq6mAwGJCQkICioiIMGjQIBw8ehM1mQ5Q6DYyK1atXe3SeMqNRowipOyIjI+3/NhgMaFdSBKkYMGAADh48iN27d2P9+vV4++23sXHjxh6vmZqaiurqakyfPt1l2+Hh4XYnGyKC2WwGAGRnZ2Pfvn348MMPMXv2bDz99NOYM2dOt/srKChAUVERTpw4gREjRtj/FhUV1WMA9qBBg3D27FkMGTIEZ8+etQuilvCyJNPn+FII1dky1Y03Spf6uDgpaPHx8rWS5NiTJSz1EumkHEJeDnUTgLw8wECEMCKv4wq1Wl4rK5PhDv37y8f48cAbb9zs8tpapmrTm95WgveEhoYGPPbYY1i0aBGEEGhqasKQIUMQFhaGzZs3w9oR99G/f380NTXZ33f58mWn53lCdnY23nvvPbS2tqKlpQXvvvsusrKyPH6/2pYLFy7AZrNh5syZePHFF7F//36X7120aBFKS0tRqUrr85e//AXnzp3rdN6IESNQXV0NAPj73/9ujy07efIkEhISMH/+fDz66KP29oxGo/2cSZMmYceOHfZlxcbGRpw8edLtfd1zzz0oLS0FAJSWlroVYF/g9FuMbjQ0SDf+U6dkYDXgep+upxRc6gwc6r+5C0UoLpZtnzkjY74UBzQtBaA3syfFxkOHHPF4ShD4oUOA2RyDlJTOsxv1tbVM1aY3WmbiUaMsFVosFoSHh2P27Nn42c9+BgD4yU9+giVLlmD79u3Izc21Lx2OHj0a4eHhGDNmDObOnYvHH38cM2fO7HaeJ6Snp2Pu3LnIzMwEAMybN6/bkqQrFixYgLvvvhtDhgxBcXExHn74Yfssq6ioCADs+21dlycHDRqEt956C7/4xS9w/vx5hIWFITs7G/fdd1+n8+bPn4/p06cjMzMTkyZNst/f3r178Yc//AFGoxExMTH485//bLdp9OjRSE9Px5YtW7B8+XJMmTIFV69eRb9+/bB+/XoMHz7c5X0tXboUP/7xj7FhwwbcdNNN2L59u8d94im6hgJ4y2233UZVVVW6tbd3717k5OTo1p4W9GZ/p69R+rOsTCZoPn9eOjcQyYF70CDpoOHM3vx8uUzV3i4F6epV+d7kZCluXZewlDRhSkycGvVSocUiY+UAGfsVGdl9T603KHZ7apszG48fl7F6gHxtNMp+aGuzISYmDOqxseu1A+n7cObMmYBOb9V1GY3pHX3Rn86+Q0IIj0IBeFkyiPFHIVNfKC6WDhzh4fJhNMrnixd7Xq4rLJSzu6NHZQB1WJh0Jjl71nmhTlczlOJiKWrHj8tE0UajvN6JE9p7EPq6vKZezlQqDADy3gHFS5TcXlurVG0ME+ywuAUxehcy9ZW6Oiku6r1lJTlzT8t1eXlyZhcZ6ciyMXKkFHFnhTpdCdTnn8syMGazFDalynV8fN8IQEyMFOX9+3uu29YV9V5gVJSjNpySTMNqBYxGG8aO7dtQBIYJFXjPLYgJFu+4xES5z2W1ysEeUAZr13tdTU3SYUS9t2azOQp1ejqoK2V7lLbDw2X7yvGe8HaJT720mJ4u97xUfgkuUXsLDhsm36uUCmpvl4/Y2HYsX25kMWMYD+CZWxCjp3ecLxWuFQoLZfJiZZC2WOTzgAGul+u0ur+oKIdIEDlCCZx5dCv3OXy4rEp+9KjnS769mUmrlzPj4qRnqFJVAABGjwaeeeYoCxvDeAiLWxCjh/s00Pu9vbw8md1j9Gj5Wgg5I+vJmURBq/sbPVpWO4iIkMIaESFfK/ao7/PRR4F//UsuY7a2ygoGly55JlS9ycTSNVwiKQn4n/9x3H9lJTzOw8kwDItbUONL/JgvaJWpvrJSDtRNTTJjhmJnT7NCre6vsFAK2s03A7fdJp8jIrqL5HPPSY9OJW0V0Hlf0J1Q9Xamyc4gDKMdLG5Bjh4Doha5IXvC3axQi/vzpD5cfr6MJVM8OpXabUI4Un25Eyq9ZtIKvVkqDoTr6wGXvAnMkjfbt29HamoqwsLC0FfhXixujFv6cm9PL4/PnurDqUX1u+/kfhzg8NJUZnCeCJVeM2mg78NA/BFmUvZ1GfK35iNlfQryt+aj7OveN6akxDp8+DD27NmDnTt34oUXXnD5Hl/FTWmrtrYWERERTpMZq/n3v//t9pq9Ebdvv/0WDzzwAF5++WUcPXoUX3zxBaZOndop+4ov+CJuXbO6mEwmvPPOO8jOzu6VLa5gcWPc0pczkr6cFbqiJ1E1m6XAhYc7clZGRHguVHotLfb1jwK9w0zKvi7Dkt1LcK75HK7vdz3ONZ/Dkt1LNBE4hYSEBLz++utYt24diAinT59GVlYW0tPTkZ6ebhebpUuXoqKiAmlpaVi9ejVOnDjh9DxXZGVl4auvvgIArFq1CiaTCSaTCcWqDlRq8ynJDu6//36MGjUKs2bNAhHhlVdewZkzZ5Cbm4vc3FxYrVbMnTsXJpMJt956K1avXu3ShvXr16OgoAC33347AFnZ+v7778egQYM6nTd37lzs2LGjm11nz55Fdna2fTZaUVGBpUuX2rO+zJo1C4BM6ZWZmYkf/ehH+OlPf2oXspiYGPzqV7/C+PHj8emnn3ZqMzk5GUlJSW77sTdwKADjlr5KjQTolzC3K87CKBITZdVsJWDcaAQSEtw7vviDvg4D0TvMpLiyGNHh0egfKb8IynNxZTHyfqBd5zsreRMVFYUvv/wSDz74IKqqqrBixQqsXLkSH3RM8VtbW52e1xNKyZupU6d2KnlDRBg/fjzuvPPObim4Dhw4gMOHD2Po0KG444477CVvVq1ahfLycgwcOBDV1dX2kjcAcKkjjU1P6bdqa2tRUFDgc18pJW+ee+45WK1WtLa2IisrC+vWrbMniFaXvKmvr8fvf/97bNmyBXPmzLGXvPGlIKoWsLgxHuFNXJk3+CsfojNRjYyU8WnXXx8Y6au6Ul0dh5UrpW0XLsgZ5g03OP7u7keBN3F7ev/oqLtYh+v7dVbTfhH9UHdRezXlkjeeEewlb3hZkvEreu5TqXFV0DQQPRbLyoC1a2+x74Fde60MU6iv92yp2Ns9NL2dYxIHJKLF3Hljt8XcgsQB2qqpuuTNxo0b7aVsqqqq7KVeuqIueePqPGXPraamBmvXrkVERESflLzJycnB+vXrMW/ePJfXVEreuMNdyZsbbrgBs2fPtidOVqOUvKmpqcHOnTtx9OhR/OY3vwHguuSNHrC4MX5Hq30qb7z7/CWqvlJcDERGWu17YMOGyUDvS5c8s9/bPTS9+6dwfCHa2tvQ9F0TbGRD03dNaGtvQ+F47dSUS94ETskbPWBxY0ICX7z7/BVX5ouLfV0dEB3deVAdOlRWSHjlFfl68eKer+eL446e/ZP3gzysuWsNBscMRkNLAwbHDMaau9b0er9NWSpMTU1FXl4epkyZgl//+tcAZMmb0tJSTJgwAceOHXNa8mb16tV4/PHHnZ7nCeqSN+PHj/e55E1ubi7q6+uRk5ODtLQ0zJ07t1PJG2eemeqSN0lJSUhOTkZFRQVilbL2HcyfPx8ff/wxMjMzUVlZ2ankTVpaGsaOHYu//e1vWNKxf6CUvJk1axZSUlLsJW+mTp2KyZMn4+zZs27v691338WwYcPw6aefYtq0abjrrrs87hNP4ZI3KoKx5E2gUlYGLFt2AZcvD9Rl78rXUjN6o84/qd5jdDcrys8HvvzyCoYOdQxMTU0yHq+52f31/NE/XPLm+wWXvGFCHmUAb2yM0C1Gyl8hBQqezsZ8dbEvLAS++87QbQ9MCM+up/ceGsP4GxY3RnOUAfyaa6ydBtznn++7jBd6JpHuijdLor6KcF4e8OSTX3bbA7tyxbPrBdseI8P0Fg4FYDRHiZG6csVxzGKRddVuvbWzAGg1wPorpADoPBsDHM/Fxd3vrTcu9hkZl/Dzn/t+vb4K5/CVujqZY/TiRVkhYsIEfX6MMN8PeObGaI6zWdSJE32X8UKJ32pulu7xx4/rOzPxZjam9fJgsC431tUBu3bJz+yaa+Tzrl2BV4uQCV5Y3BjNUQbc1laDfcC9elW6rqvRYk9MvSQ4YgRw001SOLV2YHG1p+bNkqjWy4PButz42WcyA0xEhCPFmdEojzOMFvCyJKM5yoC7bJkZDQ1ykDcYZCkZNVrsiXmzJOgrag9HZ0uq3i6Jar08GGjLjZ5w8aKcsakxGuVxhtECnrkxfUJeHlBUVGuPkXrppb5ZPtPDS9Kdh2Owzp78yYABch9WjcUij2sJl7wJzJI3Tz/9NEaNGoXRo0djxowZ9jyZWsLixuhCXwmAuyVBLWqSeSKgXGjUOyZMkGJmNsuyQmYzMCimDNMz8oG6FOBUPtDMJW9CteTN5MmTUVtbi0OHDmHkyJH2gHQtYXELcEKhYKRCXwiAK4cKrWqS+TPMIFRJTATuvhuIiZHFYH8wpAx3py9Bv8hzgOF6wHoOOL9EE4FT4JI3gVPyZsqUwEE/MgAACFNJREFUKQgPl7tiEyZMwOnTp932qdcQUcA+MjIySE/Ky8t1bc8de/YQpaQQZWQQZWfL55QUeTwY0Ks/9+whmjaNKDlZPiv9M22a7LOcHMcjI0Me9/b6gfA5OOvPnu49EKivr/f85G+mER3PIDqZ43gcz5DHe0G/fv26HYuLi6Nz587RkSNHqK2tjYiIjh07Rsp4U15eTtNUX5KWlhan5/XUlsVioXvuuYdeffVVqqqqIpPJRM3NzdTU1EQpKSm0f//+TueXl5dTbGwsnTp1iqxWK02YMIEqKiqIiGj48OHU0NBARERVVVWUl5dnb+/ixYtERFRSUkIlJSXd7JkxYwa99957Tm3dtGkTPfHEE0REVFBQQNu3b+92HytXrqTly5cTEVF7eztduXKlW58eOXKE8vPzyWw20/Hjx2nhwoVUWlpKREQAaNu2bU7bV5Ofn0+bN292+jdn3yEAVeSBfrBDSQCjh7NEKNCTQ4VWNcn6sp5db3Dn6BJUWOrkjE2N6CePawxxyRuP0KPkzUsvvYTw8HD7LFBLWNwCGL0LRoYaWtYkC0SPxJD68WNMlEuRQvVhUYs8riHqkjdFRUX2UjY2mw1RUVFO36MueePqPGXPTY0ipO7wpuTN7t27sX79erz99tvYuHFjj9dUSt5Mnz7dZdvuSt58+OGHmD17Np5++mnMmTOn2/0VFBSgqKioW25JdyVvSktL8cEHH+Cjjz6CEMKljb7Ae24BDO/19I5gDXD2FH/n09SUAYWArQ2wNQFkk8+2NnlcI7jkTeCUvPnHP/6Bl19+Ge+//z6u6RoTohEsbgFMqA/OfU2ou+iH1I+fmDwgYQ1gGAxYG+Rzwhp5vBdwyZvALHmzaNEiNDU1YfLkyUhLS+uTpVUueaMiEEveKKmlAmmvx1MCsT+Dma796Wv5HL3gkjffLwKt5A3vuQU4gbjXwwQGgerowjCBAIsbwwQx/OOHYZzDe24MwzBMyKGruAkhpgohjgohvhJCLNWzbYZh9CeQ9/SZwKa33x3dxE0IYQCwHsDdAFIAPCiESNGrfYZh9MVoNKK5uZkFjvEaIkJzczOMRqPP19Bzzy0TwFdEVAcAQoi3AEwHcERHGxiG0Yn4+Hg0Njb2OlFvX9HY2IiIiAh/mxEyaN2fRqMR8fHxPr9fT3G7AcAp1evTAMbr2D7DMDpiMBhwfdcUOwHEsWPHkJ6e7m8zQoZA6089xc1ZfpVu6xVCiAUAFgAyCHHv3r19bJaD5uZmXdsLdbg/tYX7U1u4P7Ul0PpTT3E7DeBG1ethAM50PYmIXgfwOiCDuPUMAuagY23h/tQW7k9t4f7UlkDrTz29Jf8XwC1CiJuFEBEA/hvA+zq2zzAMw3xP0DX9lhDiRwCKARgAbCSil9yc3wDAfRZO7RgI4IKO7YU63J/awv2pLdyf2qJXfw4nIrebuQGdW1JvhBBVnuQsYzyD+1NbuD+1hftTWwKtPzlDCcMwDBNysLgxDMMwIQeLW2de97cBIQb3p7Zwf2oL96e2BFR/8p4bwzAME3LwzI1hGIYJOVjcwNUKtEQIcaMQolwI8YUQ4rAQYom/bQoFhBAGIcQBIcQH/rYl2BFCxAkhdggh/l/H9/R2f9sUzAghnur4v14rhPirECLK3zYBLG5crUB72gH8nIiSAUwA8AT3pyYsAfCFv40IEdYA+AcRjQIwBtyvPiOEuAHAYgC3EZEJMob5v/1rleR7L25QVSsgIjMApVoB4wNEdJaI9nf8uwly4LjBv1YFN0KIYQCmAXjD37YEO0KIWADZADYAABGZieiSf60KesIBRAshwgFcAydpFf0Bi5vzagU8GGuAEGIEgLEAKv1rSdBTDOAZADZ/GxICJAJoALCpY5n3DSFEP38bFawQUT2AlQC+AXAWwGUi+r/+tUrC4uZhtQLGO4QQMQD+BqCQiK74255gRQiRD+A8EVX725YQIRxAOoASIhoLoAUA77P7iBBiAORK180AhgLoJ4T4iX+tkrC4eVitgPEcIYQRUti2ENE7/rYnyLkDwD1CiBOQS+b/JYT4i39NCmpOAzhNRMpqwg5IsWN8Iw/AcSJqICILgHcA/NDPNgFgcQO4WoGmCCEE5H7GF0S0yt/2BDtE9CwRDSOiEZDfzX8SUUD8Mg5GiOgcgFNCiKSOQ5MAHPGjScHONwAmCCGu6fi/PwkB4qCjZz23gISI2oUQiwDshqNawWE/mxXM3AFgNoDPhRA1Hcf+DxHt9KNNDKPmSQBbOn7M1gF42M/2BC1EVCmE2AFgP6Sn9AEESKYSzlDCMAzDhBy8LMkwDMOEHCxuDMMwTMjB4sYwDMOEHCxuDMMwTMjB4sYwDMOEHCxuDMMwTMjB4sYwQYAQYogQYmtHmRarEOJNf9vEMIEMixvDBAeRAC4AWAFORM0wbmFxY5gAQAhxvRDirBDiV6pjo4UQV4UQ9xPRCSJaTERvAmj0n6UMExywuDFMAEBEDQDmAnheCHG7ECIawF8B/JWIdvjVOIYJQr73uSUZJlAgot1CiFcBbAHwMeRS5JP+tYphghOeuTFMYPFLAGYAcwDMIqJmP9vDMEEJixvDBBYjIOsLEmTVaIZhfIDFjWEChI4ir1sg6wn+AkCJEOIm/1rFMMEJ77kxTODwIoAEyOrGlwFMBbBZCJFLRDYhRFrHebEAlNdmIuJimwzTBa7nxjABgBDiTgBlACYT0d6OY4MBHAKwmoiKhBDO/rOe7KjSzTCMChY3hmEYJuTgPTeGYRgm5GBxYxiGYUIOFjeGYRgm5GBxYxiGYUIOFjeGYRgm5GBxYxiGYUIOFjeGYRgm5GBxYxiGYUIOFjeGYRgm5Pj//F2ha3KgtIwAAAAASUVORK5CYII=\n",
|
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"text/plain": [
|
|
"<Figure size 504x360 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"#Let's choose random initial centroids and see the resulting \n",
|
|
"#centroid progression plot.. perhaps three times in a row\n",
|
|
"for x in range(3):\n",
|
|
" idxs, centroid_history = runKMeans(X,chooseKRandomCentroids(X,K=3), K=3,n_iter=10)\n",
|
|
" plotData(X,centroid_history,idxs)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## 4: Image compression with K-means"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"### 4.1: K-means on pixels"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"A shape is (128, 128, 3)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"datafile = 'data/bird_small.png'\n",
|
|
"\n",
|
|
"# This creates a three-dimensional matrix A whose first two indices \n",
|
|
"# identify a pixel position and whose last index represents red, green, or blue.\n",
|
|
"A = imageio.imread(datafile)\n",
|
|
"\n",
|
|
"print(\"A shape is \",A.shape)\n",
|
|
"dummy = plt.imshow(A)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Divide every entry in A by 255 so all values are in the range of 0 to 1\n",
|
|
"A = A / 255.\n",
|
|
"\n",
|
|
"# Unroll the image to shape (16384,3) (16384 is 128*128)\n",
|
|
"A = A.reshape(-1, 3)\n",
|
|
"\n",
|
|
"# Run k-means on this data, forming 16 clusters, with random initialization\n",
|
|
"myK = 16\n",
|
|
"idxs, centroid_history = runKMeans(A,chooseKRandomCentroids(A,myK), myK,n_iter=10)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Now I have 16 centroids, each representing a color.\n",
|
|
"# Let's assign an index to each pixel in the original image dictating\n",
|
|
"# which of the 16 colors it should be\n",
|
|
"idxs = findClosestCentroids(A, centroid_history[-1])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"final_centroids = centroid_history[-1]\n",
|
|
"# Now loop through the original image and form a new image\n",
|
|
"# that only has 16 colors in it\n",
|
|
"final_image = np.zeros((idxs.shape[0],3))\n",
|
|
"for x in range(final_image.shape[0]):\n",
|
|
" final_image[x] = final_centroids[int(idxs[x])]"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
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"text/plain": [
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|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Reshape the original image and the new, final image and draw them\n",
|
|
"# To see what the \"compressed\" image looks like\n",
|
|
"plt.figure()\n",
|
|
"dummy = plt.imshow(A.reshape(128,128,3))\n",
|
|
"plt.figure()\n",
|
|
"dummy = plt.imshow(final_image.reshape(128,128,3))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"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": "3.7.0"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|