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@alinaselega
Created February 26, 2021 20:55
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Tutorial on using the `gap_statistic` package (https://github.com/milesgranger/gap_statistic).
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Following this [tutorial](https://anaconda.org/milesgranger/gap-statistic/notebook) on computing gap statistic."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import time\n",
"import hashlib\n",
"import scipy\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import numpy as np\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.datasets import make_blobs\n",
"from gap_statistic import OptimalK\n",
"plt.style.use(\"ggplot\")\n",
"\n",
"plt.rcParams['figure.figsize'] = 10, 10"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Tried setting the seed to control reproducibility of the `optimalK` call."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"np.random.seed(25)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<p>OptimalK(n_jobs=8, parallel_backend=\"rust\")</p>"
],
"text/plain": [
"OptimalK(n_jobs=8, parallel_backend=\"rust\")"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"optimalK = OptimalK(parallel_backend='rust')\n",
"optimalK"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Data shape: (100000, 2)\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.collections.PathCollection at 0x7fa3cd55e908>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"X, y = make_blobs(n_samples=int(1e5), n_features=2, centers=3, random_state=25)\n",
"print('Data shape: ', X.shape)\n",
"plt.scatter(X[:,0], X[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This does not work: the recommended cluster result was varied on the second run with kernel restart and setting seed again. Source code appears to only use `np.random`, which should have been handled with the seed. Perhaps there is some randomness in `rust` code."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimal clusters: 4\n"
]
}
],
"source": [
"n_clusters = optimalK(X, cluster_array=np.arange(1, 15))\n",
"print('Optimal clusters: ', n_clusters)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# This holds the optimal number of clusters\n",
"n_clusters"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>n_clusters</th>\n",
" <th>gap_value</th>\n",
" <th>gap*</th>\n",
" <th>ref_dispersion_std</th>\n",
" <th>sk</th>\n",
" <th>sk*</th>\n",
" <th>diff</th>\n",
" <th>diff*</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1.0</td>\n",
" <td>0.404346</td>\n",
" <td>1.437770e+06</td>\n",
" <td>14539.531460</td>\n",
" <td>0.003364</td>\n",
" <td>1.660251e+06</td>\n",
" <td>0.001624</td>\n",
" <td>1.661883e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2.0</td>\n",
" <td>0.406890</td>\n",
" <td>1.448130e+06</td>\n",
" <td>18052.262626</td>\n",
" <td>0.004168</td>\n",
" <td>1.672244e+06</td>\n",
" <td>0.008041</td>\n",
" <td>1.669728e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3.0</td>\n",
" <td>0.402912</td>\n",
" <td>1.431897e+06</td>\n",
" <td>17557.088777</td>\n",
" <td>0.004064</td>\n",
" <td>1.653495e+06</td>\n",
" <td>0.002817</td>\n",
" <td>1.653304e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4.0</td>\n",
" <td>0.402699</td>\n",
" <td>1.430978e+06</td>\n",
" <td>11249.171222</td>\n",
" <td>0.002604</td>\n",
" <td>1.652385e+06</td>\n",
" <td>0.002752</td>\n",
" <td>1.652139e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5.0</td>\n",
" <td>0.402319</td>\n",
" <td>1.429424e+06</td>\n",
" <td>10245.906204</td>\n",
" <td>0.002372</td>\n",
" <td>1.650585e+06</td>\n",
" <td>-0.000647</td>\n",
" <td>1.653913e+06</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" n_clusters gap_value gap* ref_dispersion_std sk \\\n",
"0 1.0 0.404346 1.437770e+06 14539.531460 0.003364 \n",
"1 2.0 0.406890 1.448130e+06 18052.262626 0.004168 \n",
"2 3.0 0.402912 1.431897e+06 17557.088777 0.004064 \n",
"3 4.0 0.402699 1.430978e+06 11249.171222 0.002604 \n",
"4 5.0 0.402319 1.429424e+06 10245.906204 0.002372 \n",
"\n",
" sk* diff diff* \n",
"0 1.660251e+06 0.001624 1.661883e+06 \n",
"1 1.672244e+06 0.008041 1.669728e+06 \n",
"2 1.653495e+06 0.002817 1.653304e+06 \n",
"3 1.652385e+06 0.002752 1.652139e+06 \n",
"4 1.650585e+06 -0.000647 1.653913e+06 "
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"optimalK.gap_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>n_clusters</th>\n",
" <th>gap_value</th>\n",
" <th>gap*</th>\n",
" <th>ref_dispersion_std</th>\n",
" <th>sk</th>\n",
" <th>sk*</th>\n",
" <th>diff</th>\n",
" <th>diff*</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1.0</td>\n",
" <td>0.399298</td>\n",
" <td>1.417218e+06</td>\n",
" <td>10940.919512</td>\n",
" <td>0.002538</td>\n",
" <td>1.636495e+06</td>\n",
" <td>0.000949</td>\n",
" <td>1.637926e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>2.0</td>\n",
" <td>0.401551</td>\n",
" <td>1.426346e+06</td>\n",
" <td>13830.116557</td>\n",
" <td>0.003202</td>\n",
" <td>1.647054e+06</td>\n",
" <td>0.001874</td>\n",
" <td>1.646457e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>3.0</td>\n",
" <td>0.400677</td>\n",
" <td>1.422786e+06</td>\n",
" <td>4313.018431</td>\n",
" <td>0.001000</td>\n",
" <td>1.642897e+06</td>\n",
" <td>-0.004047</td>\n",
" <td>1.646535e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4.0</td>\n",
" <td>0.406439</td>\n",
" <td>1.446238e+06</td>\n",
" <td>7425.681384</td>\n",
" <td>0.001715</td>\n",
" <td>1.669987e+06</td>\n",
" <td>0.004987</td>\n",
" <td>1.668511e+06</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5.0</td>\n",
" <td>0.404072</td>\n",
" <td>1.436572e+06</td>\n",
" <td>11327.145715</td>\n",
" <td>0.002620</td>\n",
" <td>1.658845e+06</td>\n",
" <td>0.002192</td>\n",
" <td>1.659224e+06</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" n_clusters gap_value gap* ref_dispersion_std sk \\\n",
"0 1.0 0.399298 1.417218e+06 10940.919512 0.002538 \n",
"1 2.0 0.401551 1.426346e+06 13830.116557 0.003202 \n",
"2 3.0 0.400677 1.422786e+06 4313.018431 0.001000 \n",
"3 4.0 0.406439 1.446238e+06 7425.681384 0.001715 \n",
"4 5.0 0.404072 1.436572e+06 11327.145715 0.002620 \n",
"\n",
" sk* diff diff* \n",
"0 1.636495e+06 0.000949 1.637926e+06 \n",
"1 1.647054e+06 0.001874 1.646457e+06 \n",
"2 1.642897e+06 -0.004047 1.646535e+06 \n",
"3 1.669987e+06 0.004987 1.668511e+06 \n",
"4 1.658845e+06 0.002192 1.659224e+06 "
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"optimalK.gap_df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Example gap curve plot."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(optimalK.gap_df.n_clusters, optimalK.gap_df.gap_value, linewidth=3)\n",
"plt.scatter(optimalK.gap_df[optimalK.gap_df.n_clusters == n_clusters].n_clusters,\n",
" optimalK.gap_df[optimalK.gap_df.n_clusters == n_clusters].gap_value, s=250, c='r')\n",
"plt.grid(True)\n",
"plt.xlabel('Cluster Count')\n",
"plt.ylabel('Gap Value')\n",
"plt.title('Gap Values by Cluster Count')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Series of possible criteria curve plots."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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g2alTJ/nAAw/IzMxMKaWUU6dOlZ07d5bBwcGyWbNm8oYbbpB79+6t9TdULWz49ttvZb9+/WRgYKDs3r27/PHHHy+59sKFCzIgIEA++OCDTr+jX375Rd56660yPj5eBgYGyo4dO8qJEyfKnTt32q9BtYUMZ86ckTfddJOMiIiQbdq0kQsWLNAsbNi7d6+8/vrrZYsWLWRgYKBs166dfPzxxzWLB1599VXZunVrabFYNKU2lixZIgcPHixDQkJkRESE7NOnj3z++eftn6ekpMg//vGPTv++7777Tl577bUyOjra/t/hlClT5OHDh+3XqEuMREVFXVJiRMr6/91XlRhRO3HihAQg16xZU+/vJvIGQko3zrY1sPPnz+PVV1/F7NmzUVRUhBkzZuD999+/5Lr3338fXbp0sVeuf+GFF3DXXXcZYnsgosYQQuDTTz/F3XffrXcoppeamoqePXti27Zt6N+/v97hEJGP4XAqgNDQUDRv3hwbN24EoExgrtqmJTk5GXv37gUA5OXl4cyZM2jRooVeoRKRAZSWluLIkSP4y1/+gpSUFCZwRKQLn1ydOnfuXKSmpiI/Px+TJ0/G+PHjMX36dHzwwQdYvHgxrFYrhg4dig4dOqBPnz747bffMHPmTFgsFtx99931zqUhIu/2xRdf4L777kPPnj3xn//8R+9wiMhH+exwKhEREZGZcTiViIiIyISYxBERERGZEJM4IiIiIhPyyYUN6srnviYuLg4XL17UOwzT4XtrHL63xuF7azy+u8bhe2scT7y31q1b1/oZe+KIiIiITIhJHBEREZEJMYkjIiIiMiEmcUREREQmxCSOiIiIyISYxBERERGZEJM4IiIiIhNiEkdERERkQkziiIiIiEyISRwRERGRCTGJIyIiIjIhJnFEREREJsQkjoiIiMiEmMQRERERmRCTOCIiIiIT8tc7ACKjEkVFCP34YwTu2gV/ADEAyvr2RdEf/gAZGqp3eERE5OOYxBFVY8nMROSsWQjctQt+x45BSAkACAEQvHw5wv79b5T17Yu8F16ALTZW32CJiMhnMYkjUvFLT0ez++9HwKFDNX4upIR/Rgb8MzIQkJqKrA8/REWnTh6OkoiIiHPiiOwsmZl1JnDVBRw6hGYPPABLZqabIyMiIroUkziiSpGzZjmdwFUJOHgQkbNmuSkiIiKi2jGJI4KyiCFw165GfTfwt98giopcGxAREVE9mMQRAQj9+GP4HTtW42el0WHITWoFa3BgjZ/7ZWQgdOFCN0ZHRER0KSZxRAACd+2yr0JVs/lZcGFgEvK6tEZWnw41fldI2ehePCIiosZiEkcEQJSV1XjeGhYEGaAs4i5tFg6bv1+Dvk9EROQuTOKIAMjAmodKK4ICHA0hUBoT1qDvExERuQuTOCIoOzFIIS45r0niAJQ2i7jkGikEyvr2dVdoRERENWISRwSg6A9/QEX79pecvySJiwm/9JoOHVD0hz+4LTYiIqKaMIkjAiBDQ2vsTasI1iZxZdGhsFm0PXZlffpAhoS4MzwiIqJLMIkjqpT3wgso79JFc85WrScOFgvKohzz4sq7dkXeCy94IjwiIiINJnFElWyxscj68ENNIld9OBUAypopQ6rlXbsi68MPYYuN9ViMREREVZjEEalUdOqEzP/8B0Vjx8LaseMlw6kAUJIQj6IxY5D59deoSEzUIUoiIiImcUSXsMXGIuftt3F+xQpUhAZf8nlpbBSy33qTPXBERKQrJnFEtZCyAqjcxUGEhALRzZQPSouBkxn6BUZERAQmcUS1y822H1pi4iCSetjb8nCqHhERERHZMYkjqk1ulv3QEhMLdHYkcWASR0REOmMSR1QLmaPuiYuF6NzT8VlaKmTlUCsREZEemMQR1UY1nOoXEwsktANCQh2fXTijU2DUVHLXJtjeew3y0D69QyEiajQmcUS10QynxkFY/IBO3e3n5OH9ekRFTSTzcmB77x+Q2zbA9tFs9qgSkWkxiSOqTa52OBUAhGZeHHtxzEhu3QBYy5VG1kX2qBKRaTGJI6qFVPfENYsDAK5Q9QJy81ptO/2gPoEQETWRR5K4BQsW4P7778djjz1W53VpaWm44447sGnTJs15m82GP/3pT3jllVfs5xYtWoRJkybhiSeewBNPPIEdO3a4JXbyYdXnxAFAx86Av79yfP40ZF52DV8ko5JnTwFHD2lPHjmgTzBERE3k74mHDB8+HKNHj8b8+fNrvcZms+Hzzz9H3759L/ls2bJlSEhIQHFxseb8jTfeiFtuucXV4RIpqg+nlpRBBAQCHboAaZW9cIf3A/2v0ClAaii5ed2l59KZxBGROXmkJ65Hjx4IDw+v85rly5dj0KBBiIyM1JzPzMzEjh07MGLECHeGSKQhS4qA0hKl4R8AERZh/0x0Vi9u4Lw4s5BSXjKUCgA4eQyypPjS80REBmeIOXFZWVnYsmULRo0adclnCxcuxN133w0hxCWfrVixAo8//jgWLFiAgoICT4RKvkJVIw5RMZr//rT14rhC1TSOHAQunFWOQ0KBlgnKsbQBGYf1i4uIqJE8Mpxan4ULF2LChAmwWLQ55fbt2xEVFYXExETs26ft8Rg1ahRuu+02AMBXX32FTz75BFOnTq3x/qtWrcKqVasAAK+88gri4uLc8CvMwd/f36d/v7PKzp5AVRoXENdc895syUNxQQhlX9UTR9AsLASWkDD9gjUwI/33lvfNJlT1twUPHQFhsaD47CkAQOjZEwi78hr9gqvGSO/NbPjuGofvrXH0fm+GSOLS09Mxb948AEBeXh527twJi8WCtLQ0bNu2DTt37kRZWRmKi4vx5ptvYvr06YiOjrZ/f8SIEXj11Vdrvf/IkSMxcuRIe/vixYtu+y1GFxcX59O/31m240ftx+VhEbBardr3ltAeOJkB2GzI3PIrRM/LPR+kCRjlvzdpLYdtw0/2dlnfwZAXz9vbBXt2oHj4jXqEViOjvDcz4rtrHL63xvHEe2vdunWtnxkiiVMveJg/fz769++P5ORkJCcn46677gIA7Nu3D99//z2mT58OAMjOzkZMTAwAYMuWLWjbtq3nAyfvpVrUIKJiLvlYdO4BeTIDgLIFF5M4g9u3EyjIV46bxQGde0JExcBe5vfIQUgpa5y2QURkVB5J4ubOnYvU1FTk5+dj8uTJGD9+PKxWKwDUOA/OGZ999hkyMjIghEB8fDwefPBBV4ZMvk5VIw5RzS79vHNPYM0yAKwXZwZy4xr7sRiUAmGxQLZIAMIigMJ8oCAPOH8GaFH733iJiIzGI0ncjBkznL522rRpNZ7v2bMnevZ0TCh/+OGHmxoWUe1ytQsbqhNJPbS9ONZyCP8Aj4RGDSOLCiF/22Jvi0FXK/9XCCCxK7Bnm3Jd+n4IJnFEZCKGWJ1KZDRSM5x6aU+ciIkF4loojfIy4Fi6p0KjBpI7fnVss9W2I0RCO/tnIrGr40Lu3EBEJsMkjqgmOerh1Et74gDtPqoyjUOqRiU3rbUfi8HDNZ+JTt0c13HnBiIyGSZxRDVRD6dG15zEQV0vjvPiDElmXQAO7VUaQkAkX6W9oGNnQFT+v8FTx5Uiz0REJsEkjqgaWV4GFFUWj7ZYgPCoGq8TSY6eOBxOhbTZPBAdNYTcsl6p5wcA3XpDRMdqPhfBoUDV8Kq0AUdZ9JeIzINJHFF16l64yGgISy1/TFomABGVCV5RAXDmpPtjowapayjVfj5RNaTKfVSJyESYxBFVp1mZWkN5kUpCCCCJ+6galTx5FDh1TGkEBkL0G1LzhZ0cixvkES5uICLzYBJHVF1u/YsaqlQfUiXj0PTC9R2sDJ3WQN0TV1X0l4jIDJjEEVUj69mtQU2oFzdwhaphSFsF5Ob19nZtQ6kAlAK/4RHKcWE+cO6Ue4MjInIRJnFE1eU4N5wKAGiXCAQFK8dZFyAzL7gvLnLewb1ATqZyHBEFdO9b66VK0V/1vDgOqRKROTCJI6quIcOpfn5K1f9KnBdnDJqh1IHDIPzr3pxGU/SX9eKIyCSYxBFVoxlOra1GnIpmXhyHVHUnS0uVXRoq1TmUWnVNJ65QJSLzYRJHVJ2mJ66e4VRU27mBixt0J3dvAUqKlUbz1kCHzvV/qYOq6O/p45DFLPpLRMbHJI6oOk2Jkfp74pDYFfDzU45PH4csyHNPXOSU6rXhhBD1fkcEhwBt2lfeQAJHD7kpOiIi12ESR6QiKyqA/FzHiUgnhlODgoF2nRwnOBynG5mfC+zbYW+LQSlOf5f7qBKR2TCJI1LLz3Fs0xQRVe+E+CraIVUubtCL3LYBqKhQGp26QTRv5fyXuUKViEyGSRyRWkOHUitxXpwxOLPNVm1EJ/UK1YPcC5eIDI9JHJFaTuOSOHRSrVA9lg5ZWuq6mMgp8vxpoGrbLD8/iAFXNuwG8a2A8EjluKgAOHfatQESEbkYkzgiFalamSqcWJlqvzYiEmjVVmlUWIEMToz3NLlpnaNxWX+IqoTMSUIIgPPiiMhEmMQRqTVyOBXgvDg9SSkhN6+1ty0NHEqtoin6ywUqRGRwTOKI1BpYI04jSZ3E7XdRQOSUIweB82eU45BQoPfARt1Gu0KVixuIyNiYxBGpNHS3BjV1TxzSDyjlSsgj1L1wot8VEIFBjbtRh86ARVX0t6iw6cEREbkJkzgitSYMpyK2ORATpxyXFgMnj7ouLqqVtFoht/5ibzd0VaqaCAoG2nSovDGL/hKRsTGJI1JrwnCqEAIiqbu9zXlxHrJvJ1CQrxzHxAFdLmvS7UQi91ElInNgEkdUSUoJ5OY4TjS0Jw4AOvd03I/z4jxCM5SafBWEpYn/b01VL44rVInIyJjEEVUpyFfKgwBASFij5lVp5sUd3qckhuQ2srgIctdme7spQ6n2e6h64nDkEIv+EpFhMYkjqqIZSm1ELxwAtG4HhIYpx/m5LBjrZnLHRqC8TGm06QhRNZ+tKeJbAhFRynFxIXD2ZNPvSUTkBkziiKo0ZVFDJWGxAJ1U8+LSuAWXO2mGUl3QCwdUFv1V1YvjvDgiMiomcUSVGrtbQ3VCNS8O3EfVbWR2JnBgt9IQAiL5KpfdW10vDqwXR0QGxSSOqIq6J66BNeLURGeuUPUEuWW9UgYEALr1hoiJddm9uUKViMyASRxRFRcMpwIA2ncG/AOU4wtnIXOy6r6eGkVuWmM/FoOGu/bmHZIcRX/PnIAsKnDt/YmIXIBJHFGVnCZsuaUiAgKAxC6OE5wX53Ly5FHgZIbSCAiE6DfEpfcXQcFA20THiSMs+ktExsMkjqiSZsutpvTEARCafVSZxLma3LTOfiz6DoIICXX5M0Qi68URkbExiSOq0oTdGqpT14vjClXXkjYb5GZVEufqodQqndTz4ri4gYiMh0kcEap2a3DRnDhAKTMiKv94nciALC5q2v3I4dBeICdTOQ6PBHpe7pbHqHvicJRFf4nIeJjEEQFASTFQVqocBwYCTRyeEyGhQNsOSkPagHRuweUqctNa+7EYOAzC3989D4prAURGK8fFhcAZFv0lImNhEkcEXDKUKoRo8i218+KYxLmCLCuF3PGrve2qAr81UYr+qoZUOS+OiAyGSRwR4Nqh1EraeXGsF+cSu7cCVUPTzVsBHbvUfX0TiU6qIVXWiyMig2ESRwRoa7m5KImDqicORw5Blpe75r4+zKYeSh003CU9pnXRFP3lzg1EZDBM4ogATU9cU7bcUhPRzZTN1AHAWg4cS3PJfX2VzM8D9m63t8XgFPc/tEMS4OenHJ85AVnIor9EZBxM4ogAtwynAtp9VFkvrmnktg1ARYXSSOwK0by1258pAoOANh0dJ46yN46IjINJHBHg0hpxGup5cdxHtUnk5rX2Y3cuaKhOsF4cERkUkzgiuHa3BjX1ClWk72etsUaS5884Fhb4+UEMuNJzD+fODURkUEziiADtcGq065I4tGgNREQpx0WFwOnjrru3D1Hv0ICe/SCq3qkHqHvicOQgpK3CY88mIqoLkzgiwG3DqUIIgPPimkRKqS3w68GhVABAbHPHPMmSYuD0Cc8+n4ioFkziyOfJslKllwxQViKGRbj0/qJzd0eD8+IaLuMwcP60chwcAtEn2aOPV4r+ckiViIyHSRyReig1MgbC4to/FtVXqEopXXp/b6fphet/hbJi1MM0Q6pc3EBEBsEkjshN5UXs2nQEgkKU45xMIPO865/hpaTVCrn1F3tbDBquSxyC228RkQExiSNycxIn/PwA1fZNnBfXAPt3Afm5ynF0LND1Mn3iaN/JUfT37CnIwnx94iAiUmESRz5PqhY1uGq3hurU+6gijUmcszRDqYOugrD46RKHCAwC2iY6TnALLiIyACZxRO4eTgV3bmgMWVIEuWuTve3xVanVaIv+ckiViPTHJI5IXV7ElTXi1Dp0Afz8leMzJ5R9QKlOcsdGoKxMaSS0h1Bvf6UHzQpV9sQRkf6YxJHP0+7W4Kbh1KAgZV5VlXT2xtVH19pwNdAW/T3Eor9EpDsmcUQ57h9OBbTz4jikWjeZkwkc2K00hIBITtE3IABoFg9EVyb5pcXcfYOIdMckjshNuzVUx3lxzpNb1gNV9fS69oJoFqdvQKgq+queF8chVSLSF5M48mnSanWUsBACiIx238PUw3HH0yFLS9z3LJMz2lBqFaEqFQMubiAinTGJI9+Wl+M4Do9Uarq5iQiPBFq3UxoVFSxTUQt56hhw4qjSCAiEuHyIvgGpaIv+8t8fEemLSRz5Nk15EfcNpVbhvLj6yc1r7ceiTzJEaJh+wVTXvpNjlfG5U5AFXGVMRPphEke+zRPlRdSSVEkci/5eQtpskJvX2dtGGkoFABEQCLRj0V8iMgYmceTTtOVF3J/EqRc34MhByAqWqdA4nApkXVSOwyOAnpfrG08NtEV/mcQRkX6YxJFv89DK1CoiNl4pVQEApSXA8SNuf6aZaIZSBwyD8A/QL5jaaObFcXEDEemHSRz5Ng9suVWd4JBqjWR5GeS2/9nbRhtKraJZoXr0MIv+EpFumMSRT/PEbg2X0Cxu2OeZZ5rB7q1AcaFyHN9Ss82VkYhm8UB0rNIoLQZOsegvEemDSRz5thz1cKqHeuLU8+LS9kNWFbX1cTZ1bbhBw5Xiukal6o2TrBdHRDphEke+TYfhVLRqA4SGK8f5ucDZU555roHJgjxgz3Z726hDqVXU9eJY9JeI9MIkjnyWtNmA/BzHiWjPDKcKi0U7pMp5ccpcuAqr0ujYBaJFa30DqodmhSoXNxCRTpjEke8qyFN2TgCA0DClBpiHqIv+gvPitKtSDd4LBwBo1wnwryz6e/4MZNXWbUREHsQkjnyXh3drUNOsUPXxnRvkhbNA2n6lYbFADBymb0BOEAEBSiJXhUV/iUgHTOLId+V6flGDXftOQGBlz9/Fc5DZmZ59voGod2hAz34QEVH6BdMAmn1UOS+OiHTAJI58lqd3a1AT/gFAR9UKRx+dFyelNN9QaiV1vTjJnjgi0gGTOPJdOZ7draE6zosDcCzNsTo3KASizyB942kI9QrVo4e4hRoReRyTOPJdepQXUdHOi9vv8ecbgVTXhus3BCIoSL9gGkg0iwNi4pRGWSlwKkPXeIjI9zCJI58ldU7i0KkrICr/CJ7KgCwq8HwMOpJWK+SW9fa2mYZSq4hEddFfDqkSkWcxiSPfpVrYIDxUI05NBIcC7RKVhpS+VzR2/29KsWNAqdHXrZe+8TSGql4cWC+OiDyMSRz5Lr174gCIpO72Y18rNaIZSk1OgbD46RdMI2l74pjEEZFnMYkjnySl1LVOXBX1Pqq+lMTJkiLIXRvtbTMOpQLQFv29cBYyL0fXcIjItzCJI99UXAiUlynHgUFAcIg+cXR29MQh4xBkVUxeTu7cDJRV/taE9kCbDrrG01giIABon+Q4wVIjRORBHkniFixYgPvvvx+PPfZYndelpaXhjjvuwKZNmzTnbTYb/vSnP+GVV16xnysoKMCLL76I6dOn48UXX0RBgW9NCqcmqjaUKoTQJQwRGQM0r9wn1GoFMtJ0icPTNEOpg4br9v5dgfuoEpFePJLEDR8+HE899VSd19hsNnz++efo27fvJZ8tW7YMCQkJmnNLly5Fr1698Oabb6JXr15YunSpCyMmr6dzjTg1db046QP14mROlrKooZIYdJWO0TSdducG9sQRked4JInr0aMHwsPD67xm+fLlGDRoECIjIzXnMzMzsWPHDowYMUJzfuvWrUhJSQEApKSkYOvWra4Nmryanrs1XMLH5sXJrb8A0qY0uvaCaBavb0BNpdq5ARmHWfSXiDzGEHPisrKysGXLFowaNeqSzxYuXIi77777kuGW3NxcxMQo/+MbExODvLw8j8RKXkI9nKpDeRE1oZ4Xl34A0ubdSYB2KDVFv0BcRETHAlWJaFkpcDJD13iIyHf46x0AoCRqEyZMgMWizSm3b9+OqKgoJCYmYt++xg8zrVq1CqtWrQIAvPLKK4iLi2tSvGbm7+/v07+/Sn5ZMYoqj8NaJSCsnnfizvcmY2NxMSYWtuxMoLgQ0YV5COjY2S3P8rTq78164igyj6crjYBAxI26GZawCJ2ic52cHr1RuuFnAEDYuZMI7d+07cP457Tx+O4ah++tcfR+b4ZI4tLT0zFv3jwAQF5eHnbu3AmLxYK0tDRs27YNO3fuRFlZGYqLi/Hmm29i+vTpiIqKQnZ2NmJiYpCdnX3JMKzayJEjMXLkSHv74sWLbv9NRhUXF+fTv7+K7exp+3FhQBCK63kn7n5vMrEbsP1/AIDsrf+DJULnIV4Xqf7ebMuX2I9F74HIKi4Fikv1CM2lbAkd7ccFu7ehKLlpPYz8c9p4fHeNw/fWOJ54b61bt671M0MkcfPnz9cc9+/fH8nJyUhOTsZdd90FANi3bx++//57TJ8+HQAwYMAArFu3DmPGjMG6deswcOBAXWInc9LOidN3OBUA0LmHPYnD4VTgmpv0jccNpM0GuXmdvW3a2nA1EJ26QVYeS5YZISIP8UgSN3fuXKSmpiI/Px+TJ0/G+PHjYbVaAaDGeXDOGDNmDObMmYPVq1cjLi4Ojz76qCtDJm+Xq16dqn+vl+jcw5EEpKVCSmnqshs1SksFsi4ox2ERwGX99I3Hldp2BAICldqDF85C5mUr5WOIiNzII0ncjBkznL522rRpNZ7v2bMnevZ0rOKLiIjArFmzmhoa+SoD7Nag0aYDEBIKFBcp5U8ungPiW+odlUtpFjQMvBLCP0C/YFxM+AcA7TsBafuVE+kHgcsH6xsUEXk9Q6xOJfIkWVqqJEsA4OcPhOs/sV5Y/DSbqXtbvThZXga57X/2thg0XL9g3ERbL45Ff4nI/ZjEke/RDKVGG2bYUiQ5iv7ae3S8xZ5tylZnABDXQpOweguhqhfHnRuIyBOYxJHvMdpQaiVv3rnBph5KHWzubbZqpeqJw7E0yMp5v0RE7sIkjnyPwRY12HXsAvhXTlM9ewoyL0fXcFxFFuYrPXGVvKHAb01EdDMgtrnSKCsDTh7VNyAi8npM4sjnGGrLLRUREAi0T3Kc8JIhVbn9f0BVr1SHzhAt2+gbkBuJRNWQKvdRJSI3YxJHvkfTE2ec4VQAEF64j6rcuNZ+7E214WqknuvHeXFE5GZM4sj35KjnxBmnJw7wvnlxFedOK/XhAMBigRg4TN+A3IwrVInIk5jEkc/RDKdGG6snDp26A1WT/k8cgSwp1jeeJipev9LR6NkPIjJat1g8om0HpegvAGSe1/y3RkTkakziyPcYeTg1LBxo3U5p2GyAibdwklKiZN0Ke9tbFzSoKUV/VfMa2RtHRG7EJI58T65xh1MBL5oXdzwdFaeOKcdBIRB9fWMHA9aLIyJPYRJHPkVay4GCPKUhLEBklL4B1SSpu/1Qppk3idNss9VvMERQkH7BeJB2Xpx5e1KJyPiYxJFvUddei4xStrsyGHVPHI4cNGXRWJmdqU3ivH1Vqlqn6kV/y/WLhYi8GpM48i0GH0oFANEsTlU0thQ4nq5vQA0k8/NgmzPL0eMZHQt0661vUB4komIc//7Ky4ATGbrGQ0Tei0kc+RYDL2pQ05QaMdGQqiwqhG3uc8CZE8oJPz9Y/u8hQ/Z4upPopBoS57w4InITJnHkU2SOMXdruISmXpw5kjhZWgLbWy84eg6FQNSM5yB69dc3MD2oFjdwhSoRuQuTOPItJhhOBarNi0tLhbTZ9AvGCbK8HLYFL2u2ChMTpyH4ypE6RqUfoZoXJ01cJoaIjI1JHPkWkwynomUbIDxCOS7IB86e1DeeOsiKCtg++AeQutN+TtzxR1iGjdIxKp0ldAACVUV/c7LqvJyIqDGYxJFP0ezWYOSeOCGAJOPPi5M2G+TCN4Gdm+znxM13wjLyVh2j0p/w9wc6dHac4Lw4InIDJnHkW0wynApoFzfAgPPipJSQX7wPuWmN/Zy49laIm3+vY1TGwXpxRORuTOLIt6iHU422b2o1Rt+5QS75BHLtMntbDBsFcft9Si8icecGInI7JnHkM6StolqxX2P3xKFtIhBYuctB5nnIrAv6xqNiW/Y15PJv7G0xcBjE3VOYwKmpeuKQwaK/ROR6TOLIdxTkKZvKA0BYBERAgL7x1EP4+wOJqt4cg/TG2db8F3LJp44TfZIh7pvpc7Xg6iMio4H4lkrDWg4cP6JrPETkfZjEke/IMc98uCqaeXEGWNxg+/VnyH+/5zjRrTcsk/6kJJx0CZHIIVUich8mceQ7TLSooYpIMk7RX7n9V8iFbzlOJHaFZdrTEAGB+gVldOp9VLm4gYhcjEkc+QypWtQgjFwjTi2xK2Cp/GN6+jhkYYEuYci9O2D74HVAVg5Ht+kAy/TnIIJDdInHLDQrVNkTR0QuxiSOfIcZe+KCQ4B2nZSGlJodETxFHtoH2zt/ByqsyokWCbDMfB4iLNzjsZhOmw6OxSlZFyGzM3UNh4i8C5M48h2a8iLmSOKAakOqHp4XJzMOK/uhlpUpJ5rFw/LoCxBGX9lrEMLPj0V/ichtmMSRz5CanjiTDKdCu7hBHt7nsefKU8dhm/dXoKRYOREZDcujL0I0i/dYDN5AUy8unUkcEbkOkzjyHSbZcusS6hWqGWmQZaVuf6S8cBa2ObOUfVsBIDQclpkvQLRo7fZnexvtvDgubiAi12ESR75DvQm5mXriIqKAlglKo8IKZBx26/NkdiZss59xDD8HhcAy468QbTq49bleS1VmBMfSIMtZ9JeIXINJHPkEKaUpFzZU8dQWXDI/F7Y3ngUyzysnAgJhefgZiI5d3PZMb6ct+msFjqfrGg8ReQ8mceQbigqVqvkAEBRivtIYSe6fFyeLCmCb+xxw9qRyws8PlilPQnTt5Zbn+RLRiUOqROR6TOLIN6hXppqsFw6otnND+gFlH1gXkqUlsL35gmNrKGGB5f7HIHoNcOlzfJZ6H1UubiAiF2ESR75BPZRqovIidnEtgOjKeXwlxcDJDJfdWpaXwTb/JU1yIf5vGsSAK132DF+nWaHKnjgichEmceQTTLlbg4oQwi3z4qTVCtv7/wD2/+Z41h33w3LltS65P1VK6AAEBSvH2Rchsy7qGg4ReQcmceQbTLyowU49pOqCJE7abJAL5wG7NtvPiVvvgmXkLU2+N2mx6C8RuQOTOPINOeZP4qrv3CClbPS9pJSQ/34XcvM6x/1HjYW48Y4mxUi10yxuSOeQKhE1HZM48g255qwRp5HQDggJU45zs4ELZxp1Gykl5Df/glz3o/2cuOo6iNvuhRDCFZFSDbRFf9kTR0RNxySOfII0624NKsLiByR1t7cbOy9OLvsacsVix32TUyAmTGYC527qor/H01n0l4iajEkc+QaT7ptanVAlcY2ZF2f7+QfIpZ85TvRJhvjDI0qCSG4lIiKB5pXblrHoLxG5AJM48g3q4VQzlhip1JQVqrb//Qz55fuOE937wDLpTxD+/q4Kj+qhKTXCenFE1ERM4sjrydISpbYaAPgHAKHh+gbUFB06K78BAM6f1gwT10Vu/x/kv95ynOjUDZapT0EEBLohSKoV58URkQsxiSPvV223BjPP/RIBAdpSFWn76/2O3LMdtg9mA9KmnGjbEZbps8y39ZgXUK9QRfqBJq0wJiJiEkfeL8fcW25Vp96Cq759VOXBvbC98zJQYVVOtEyAZcbzEGbujTSzhHZAUGXynJMFsOgvETUBkzjyetIbCv2qODsvTh49DNvbLwLlZcqJ2OawzHwBIjLazRFSbYTFD+jo6EnlkCoRNQWTOPJ+Jt9y6xKdugJVQ8InjkKWFF1yiTx1DLZ5f3XMBYyKgeXRFyCaxXsuTqqRul4cuLiBiJqASRx5Py/YrUFNhIYre3ECyjy3atX/5fnTsM2ZBRTmKyfCIpQeuKryFqQrzQrVI9y5gYgaj0kceT8vG04Fap8XJ7MuwvbGLMdvDg6B5ZG/QiS093SIVBtN0d8jkFXD3UREDcQkjryeVA+nRnvBcCoAqJO4yhWqMi8HtjnPApnnlQ8CAmF5+FkI1Rws0p8IjwRaJCiNCitwLE3fgIjItJjEkffz8p44HDlYmcA9B5w9pZzz84dl6l8gulymT4BUJ5GoLvrLIVUiahwmceT9vGTLLTURHQvEt1Qa5WWw/f1x4OTRyg8tsDzwGMRl/fULkOrWiUV/iajpmMSRV5Pl5Y4J/sICRETqG5ALiSRVb1zVECoAcc/DEP2H6hAROUu9uAHpB1n0l4gahUkcebc8VS9cZLR3bfSuHlKtJH7/ICxDR+gQDDVI63ZA1Y4ZuVlA1gV94yEiU2ISR97Ny3ZrUFMX/QUAMeZuWEbcpFM01BBK0d8u9rZkvTgiagQmceTdvHBRQxXRMgFixM1AeATE2IkQN9yud0jUAOrFDWC9OCJqBH+9AyByJ/WWW15TXkTF8vsHIO+4H6JqBwcyDdGpG6pmwrEnjogagz1x5N1yvXc4tQoTOJNS98SdOAJZVqpfLF5AlpVCsngy+RgmceTdvHg4lcxNhEUALauK/lYAx9L1DcjEpJSwvfMKbC/OQM5LT0DabHqHROQRTOLIq2mGU72kRhx5D5HIenEukXEY2LsdAFD221Zgz3adAyLyDCZx5N18YDiVTExd9Jfz4hpNblytaduWf83ae+QTmMSRd/PC3RrIewhVEocjLPrbGNJaDrnlF+3J9APA4VR9AiLyICZx5LWkrQLIy3WciIrWLRaiGrVqC4SEKse52ZqdN8hJu7c5dmVRsf34jQ7BEHkWkzjyXnm5gKyc4BweAeEfoG88RNUIi4VFf5vItnGN/VgMuBKoWq29ZxvkiaM6RUXkGUziyHtxKJVMQL24AUziGkTm5wF7ttnb4tYJCBqc4vicvXHk5ZjEkffiogYyAdHJUS9OcueGBpFb1wMVVqWR2BWiZQLCxk1Ufb4B8sJZnaIjcj8mceS1tOVFmMSRQXVUFf09eRSylEV/nSXVQ6lDrgYABCR1B7r3qbzABrlyiR6hEXkEkzjyXpqeOA6nkjGJsHBlgQNQWfT3sL4BmYQ8c0KpDwcA/v4QA4fZP7Ncf5vjug2rNH+hI/ImTOLIe3G3BjIJodqCS6ZzSNUZmtpwvZOVHTCqdOsNdOisHFvLIX/+zrPBEXkIkzjyWjKHCxvIJDpx54aGkLYKyE3r7G3LFddoPhdCwHL97xzXr10OWVTosfiIPIVJHHkv1XAq58SRkVVfocqiv/U4sAfIvqgch0cCPftdek3fwY69aYuLINct91x8RB7CJI68l3o4NZpJHBlYqzZASJhynJ+LinOn9Y3H4DQLGgalQPj7X3KNsFggrhvn+M6q7yDLuGiEvAuTOPJKUkogj8OpZA7Vi/6WH9yrYzTGJkuKIHf8am+LIdfUeq0YPByIjlUaeTmQv66u9VoiM2ISR96pMB+wVtaPCg6BCArWNx6ieqjrxTGJq53csRGo6lFr3Q5ol1jrtcI/AGLUGMd3Vy6BrKhwc4REnsMkjrwTd2sgk1HPi2MSV7vqteFE1TZbtRDDRgFVK1cvnIXctsGd4ZGPMMrQPJM48k7crYHMJtExnGrNSIMsLdExGGOSmReAg3uUhrAow6X1EMEhENfc6LjHj99w4Qg1me2911Dxp/uQ89pTkKeO6xYHkzjySuryIlyZSmYgQlVFf20VQEaavgEZkNy0BqhKwLr3gaia71YPcfVNQGCQ0jiZAezd4Z4AySdIKYGjh4DsiyjduBaw6JdKXbqkxw0WLFiAHTt2ICoqCrNnz671urS0NDz99NOYOXMmBg8ejLKyMjz33HOwWq2oqKjA4MGDMX78eADAokWL8PPPPyMyMhIAcOedd6JfvxqWmZNv4nAqmZDo1E3ZiQBKvTjR9TKdIzIOKaWSxFUSV9S+oKE6EREJMWwU5M/fAwBsy7+GX6/+Lo+RfMTFc0B+LoDKv3y1aK1bKB5J4oYPH47Ro0dj/vz5tV5js9nw+eefo2/fvvZzAQEBeO655xAcHAyr1YpZs2ahb9++6NJFGXa48cYbccstt7g7fDIj9XAqy4uQWSR2BTb8BACQ6Sz6q3H0EHD2lHIcFALRd3CDvi6uHQO5dpmytdnhVMi0VIikHm4IlLydzHBsjRfQuTsqdOyJ88iTe/TogfDw8DqvWb58OQYNGmTvWQOUqtvBwcqqwoqKClRUVNQ7iZUIALfcIlMSqp0bcDgVsrxMv2AMRrOgYcAVEEFBDfq+iI2HGDTc3rb9uNhVoZGvOXLIfhjQWd+/CBhiTlxWVha2bNmCUaNGXfKZzWbDE088gfvvvx+9evVC586d7Z+tWLECjz/+OBYsWICCggJPhkwGJzW7NXA4lUyiZRugWbxyXFSg3R/Uh8nycsitv9jbYsiIRt1HjHYU/8VvWyBPHWtqaOSD5FHH/sYBXXrqGImHhlPrs3DhQkyYMAGWGrokLRYL/vGPf6CwsBCvv/46jh8/jnbt2mHUqFG47bbbAABfffUVPvnkE0ydOrXG+69atQqrVq0CALzyyiuIi4tz348xOH9/f5/4/RcL8lBVDSqmQyL8m/ibfeW9uRrfW8MV3vJ7FCx8CwBg+fkHxN56J4Sfn85R6atk41rkFuYDACzxLRE35CqlQHIN6vxvLi4OOYOuQunm9QCAwDU/IGrGc26J2Wz4Z9U50mrF+RNH7O3gbr0QFBGlWzyGSOLS09Mxb948AEBeXh527twJi8WC5ORk+zVhYWHo0aMHdu3ahXbt2iE6Otr+2YgRI/Dqq6/Wev+RI0di5MiR9vbFixdd/yNMIi4uzid+f0WW4zdm2wREE3+zr7w3V+N7azjZfyjEoo8hiwpQcfo4Lv68DKLfEL3D0lXFym/txzL5KmRmZdV6bX3/zclrbgYqk7iSX35C2ejbIOJauC5Yk+KfVefIY+lAWeU0h9jmkBFRbn9vrVvXvnDCEMOp8+fPt/8zePBg3H///UhOTkZeXh4KCwsBAGVlZdizZw8SEpQNjbOzHXOetmzZgrZt2+oSOxmPLCkCqmps+QcAoWH6BkTUACI4FCHXjbG3bSuX6BeMAcj8XGDPNnu7rm22nCESuwJdeykNmw1y5dIm3Y98i3ooVai2ytOLR3ri5s6di9TUVOTn52Py5MkYP348rJVbItU0D65KdnY25s+fD5vNBiklhgwZgv79lWXhn332GTIyMiCEQHx8PB588EFP/BQygxztogYuhiGzCb3pdhR9/6WydVz6AZ9eSSm3/KKsKAWATt0gXFDOwXL9bbBVFg2WG36CvOkOiMjoJt+XfIBqUQN8JYmbMWOG09dOmzbNfty+fXu89tprNV738MMPNzUs8lbqlanRXNRA5uPXTFlJKf+nzOW1rVgCP19N4lSLO5raC2fXo6+y5+rxI0B5GeTPP0CMvds19yavpi4vYoSeOEMMpxK5kuSWW+QFxHVjHY1dmyHPnNQvGJ3I08eBY5U7V/j7Qwy40iX3FULAcv1tjues/S9kcZFL7k3eSxYVAmcr/xxaLEC7TvoGBCZx5I1y1VtusSeOzEm0agv0cSzukj8t1S8Ynahrw6FPMkRY3fVGG6TfEKB5K+W4qBBy/QrX3Zu8U8Zhx7ZvbTo0uFahOzCJI+/DnjjyEpZRjt44uXE1pHqqgJeTtgrITWvtbUsja8PVRlj8IK5z1I2TP30LWV7u0meQd5FHHfPhRAf9h1IBJnHkjTgnjrxF5x6OydNWK+TqH/SNx5MO7AZyMpXjiCig5+Uuf4QYco1jb+XcLBZXpjqpkzgkMokjcgupGU5lTxyZlxACFnVv0dplSgkdH6DZZiv5Kgh/16/DEwEBENfe6njmisWQtoo6vkG+Skqp7N9byQiLGgAmceSNctTDqeyJI5O7fJB27taGn/SNxwNkSRHkjo32trjCRatSayCuus5RS/L8GcjtG+v+AvmmrItAXo5yHBwCtEzQNZwqTOLI++Rq68QRmZmw+EFcO8belj99B1lZZ9Nbye0bgbJSpZHQHmib6LZniZBQiOE3Op7943+UXhciNVWRX3ToDGExxlZ4TOLIq8jyMqCoQGn4+QHhkfoGROQC4oprlHlhAJB1AXLbBn0DcjNtbbir3V6wW4y8GQgMVBrHjwCpu9z6PDIfacChVIBJHHkbdS9cRHStm2QTmYkIDIK4WtVbtGKJ1/YWyczzQOVuChAWiEEpbn+miIiCGHqtvW1b/h+3P5PMhUkckSdwKJW8lLj6BiCwsi7VyaPA/l26xuMu6rIi6NEHIjrWI88Vo8YoBVwB4OAeyCMH67yefIesqACOpTtOMIkjchN1jTiWFyEvIsIjIYaOtLdtK5boGI17SCm1q1Jdtc2WE0RcC4hkR6+fbfk3Hns2GdypY445ms3iIAz0vy1M4sirsLwIeTNx7a2AqPx/26m7II+n1/0FszlyEDh3SjkODoHoO9ijjxejHeVcsGsT5JkTHn0+GZOmPpyBeuEAJnHkbXI4nEreS8S3hBgw1N6WK5bqF4wbyE2qXrj+Qz2+rZFIaK/d6oy9cQQYsj5cFSZx5F1yWSOOvJu4TrUV17ZflIUAXkCWl0Nu+cXedmdtuLpYRv/Ofiy3rIPMvKBLHGQcRl3UADCJIy/D4VTydqJ9EtC1l9Kw2SBXfadvQK6ye6ujPFBscyCphy5hiKTuQJeeSqOiAvKnpbrEQcYgi4uAqmF1YQHaJ+kbUDVM4si7sCeOfIBmK65fVkIWFugYjWvYqteG07E8kGX0bfZj+ctKyPw83WIhnR1LA6rK+SS0gwgK1jeeapjEkXdhiRHyBZf1U3YyAIDSEsi1y/SNp4lkfi6wd7u9LYZcrWM0UN5vm47KcVkp5Oof9I2HdGPkoVSASRx5EVlRAeTnKg0hgMhoXeMhchchBMQo1dy41T8ou5WYlNyyHqio3Hi+UzeI5q11jUcIAXG9am7c6h8gS4p1jIj0Io8Yd2UqwCSOvEl+jqPbOzwSwt9f13CI3EkkDwOqCuHm5Wjqq5mNpjacTgsaqhP9hwLxLZVGUQHkLyv1DYj0keElPXG7d+/GO++8g1deeQUAkJ6ejr1797otMKIG41Aq+RDhHwAx8hZ7W/60FNJm0zGixpGnjivzjgDAPwCi/5X6BlRJ+PlpeztXLoUsL9cxIvI0mXURyKmcZx0UArRuq29ANXAqiVu+fDk++OADtGrVCvv37wcABAYG4ssvv3RrcEQNwhpx5GPEVdcBIaFK4+wpYPcWfQNqBM1m932SIcLCdYxGSwwd4ZiWkZMJuXmtnuGQp6mL/HZIgrD46RdLLZxK4pYtW4Znn30WY8aMgaVyxVBCQgJOnz7t1uCIGkKqVqYKrkwlHyBCQiGuGm1vm20rLmmr0CRGRhlKrSICAiFG3mpvyxWLIW0VOkZEnqRZ1NChs46R1M6pJK64uBhxcXGac1arFf6cc0RGwuFU8kFi5M2AX+X/L07bD5m2X9+AGmL/bsdwVUQU0ONyfeOpgUgZre3t3LVZ34DIYzRJXKLx5sMBTiZx3bt3x9KlSzXnli9fjp49e7ojJqLGYY048kEiOhZisGrjdhP1xmmGUgelGHIxkggNgxh+vb1tW/YfyKoFVOS1pK3CMVcTADp21S+YOjiVxN13333YsmULpk2bhpKSEjzyyCPYtGkT7rnnHnfHR+Q0zW4N0eyJI9+hnoCP3zZDnj2pXzBOksVFkDs32ttiiLGGUtXEyFsA/wClcSwNOLBb34DI/U4fB0pLlOPoWIiYWH3jqYVTf+2JiYnByy+/jLS0NFy8eBGxsbFISkqyz48jMgQOp5KPEq3bAb0GAHu2AVJCrlwK8X8P6R1WneSOX4Gyytp2Ce2Bth31DagOIjIG4sqRkGuXAwBsy/8Dv+59dI6K3EkePexodDTmfDigASVGhBDo3LkzhgwZgi5dujCBI+PhcCr5MM1WXBvXQOZl13G1/jS14YZcAyGEjtHUT4waq+ydCQD7f4PMOFz3F8jcNDs1GHMoFXCyJ27KlCm1fvbOO++4LBiixpJSArk5jhPsiSNf06WnUlH+6CHAWg75838hxt6td1Q1khfPAQf3KA1hgRiUUvcXDEDEt4QYOAxyyzoAgG35N/Cb8qTOUZG7yCMH7cdGXdQAOJnEPfzww5p2dnY2li1bhqFDh7olKKIGK8gHKqzKcUgYRGCQvvEQeZgQApbrxsL27qsAALl2GeT1v4MIDtE5skvJTWsdjZ59IaLN0XMurh9nT+KwcyPk2ZMQLdvoGxS5nCwpBk6fUBpCAO076RtQHZwaE+3Ro4fmn6FDh+KJJ57AmjXm3eaFvIxmKJW9cOSjLh+s3Spqw0/6xlMDKeUlQ6lmIdp0VOYeAsrcwx8X6xsQucexdEBW7n7Suh1EcKi+8dSh0RPb/P39cf78eVfGQtR4XNRABGHxgxg1xt6Wq76DrDBYcdojB4HzlYXiQ0Ih+g7SN54Gsoz+nf1YblqrbM1EXkUeVQ2lGnC/VDWnhlO/+uorTbu0tBQ7d+7E5ZcbrzAj+Sbu1kCkEFeMgPz230BBHpB5HnLbBkPNOdPUhus/1HRTH0SXnkBSdyBtP1BhhVz1LcT4P+odFrmQWVamAk72xGVmZmr+KS8vx0033YRp06a5Oz4i56h74lgjjnyYCAyCuPpGe1uuXGKY4rSyvAxy6y/2tpmGUtUso2+zH8v1KyAL83WMhlzOJCtTASd74qZOneruOIiahsOpRHbi6hshV3yj1GE7fgTY/xvQo6/eYQG7twJFhcpxXAulR8uMevVXatudOgaUlkCu/i/Ezb/XOypyAZmTCWRXDpEHBgGt2+kbUD1qTeL27t3r1A0uu+wylwVD1FgyJ9PR4HAq+TgREQkxdCTkmmUAlK24/AyQxNnUCxoGXw1h0nqjwmKBGP07yI/eAADI1d9DjhoDERSsc2TUZOqh1PadIPz89IvFCbUmcc7UfxNC4O2333ZpQESNot5yiz1xRBDXjoFc+6Oyyi51J+SJoxA67oog83KAvdsd8Q25WrdYXEEMHAa59DMg8zxQkA+54SeIETfrHRY1kXZRg7GHUoE6krj58+d7Mg6iptEMp7InjkjEt4ToNwRy+/8AAHLFYoj7H9MtHrllPVC1UjapO0TzVrrF4grCzw/iurGQ/34PQOXcw5TREFV7rJIpySOq+XAGLvJbxZx92UQqym4NrBNHVJ1Qb8W19RfIzAu6xWLW2nB1EVeMBCKilEbWRSVRJdOStgogI81xwuDlRQAnFzYUFRXh66+/RmpqKvLz8zUrnbjtFumuuMixkXZgIBBi3MKMRJ4kOnYGuvZStriy2SBXfQdxh+fLYchTx4Dj6UrDPwBigHfs9iOCgiBG3KwMqwKQPy6GNPFcP5935hRQWqwcR8UAMXH6xuMEp/5L+/DDD3H06FHcdtttKCgowH333Ye4uDjceOON9X+ZyN2qDaUafSNtIk+yXDfWfix/WQlZWODxGDS14foOgggN93gM7iKuvgGo2trszAlg9xZ9A6JGU8+HQ8cupvjfEqeSuN27d+Oxxx7DwIEDYbFYMHDgQMycORO//PJL/V8mcjcOpRLV7rL+jjIJpcWQ65Z79PGyogJy0zp7W1zhHUOpVURoOETKaHvbtuw/hqnLRw2kqQ9n/KFUwMkkTkqJ0FBliCo4OBiFhYWIjo7G2bNn3RockTMka8QR1UoIAaHujVv9A2R5uecC2P+b4y9aEVFAD+/b6UeMvBXwr5yddPQQcMi5El1kLNJbk7j27dsjNTUVANCtWzd89NFH+PDDD9GqlblXF5GX4JZbRHUSyVcB0bFKIzcbctOaur/gQpoFDYOGG77uVmOI6GYQV4ywt23L/6NjNNQYsrRUKd4MAEIAHYy93VaVOpO4wkKlsvakSZMQHx8PALjvvvsQGBiIwsJCPPTQQ+6PkKg+7IkjqpPwD4AY6ahhJlcuhbTZ3P5cWVwEuWujIw4vG0pVE9eNBUTl/6Tu2wl5LF3fgKhhjqUBVX8mWraBMMkCuTqTuAcffBBvvPEGTp06hebNmwMAIiMjMXnyZMycORNt2rTxSJBEdcphjTii+ohh1zkm4J89qWyB5WZy+/8cK8fbdNC12LC7ieatIfpfYW/LH7/RMRpqKJlhvqFUoJ4k7u9//zvi4+Px3nvvYdKkSVi4cCEyMjI8FBqRc6RmOJU9cUQ1EaFh2gn4K5a4/Zna2nDm3qHBGeL639mP5fZfIc+d1jEaahBVkV8z1IerUmcS1759e0ycOBHvvPMOpk2bhry8PDz77LN4/PHH8f333yMnJ8dDYRLVQT2cGs0kjqg2YsQtgF/lBPy0VMj0A257lrxw1jHBX1ggBg1327OMQrTrBPSsXLghbZAr3Z8ok2toFjWYYKeGKk4tbLBYLOjbty+mT5+ODz74ADfffDN+/PFHTJkyxd3xEdWPW24ROUXExCqLHCrZVix227Pk5rWORs/LfaaX3HL9bfZj+evPkDmZOkZDzpC52UBW5W4mAYFA6/b6BtQADSornZWVhRUrVuDbb79FQUEBhg0b5q64iJwiy0qBYmUBDvz8gLAIfQMiMjh1uRHs2gx59pTLnyGl1A6levGChkt0uQxIrNw43WqFXPWdvvFQ/VS9cGjfCcLfqc2sDKHeSMvKyrBp0yasW7cO+/fvR/fu3TFmzBgMGjQIQUFBnoiRqHbqXrjIGG53Q1QPkdAe6DUA2LMNkBLyp28hJk517UPSDwDnzyjHIaEQfZJde38DE0LAcv3vYJv/dwCAXPsj5PW3Q4R5zy4V3saM9eGq1JnEvf3229i6dSuaNWuGYcOGYcqUKYiLM/5eYuRDuFsDUYNZrhsL255tACqH/G69EyLSdX9+NL1wA66ECPSxv/D3TgZatVW24Sothly7DOLG8XpHRbVQJ3Ho2FW/QBqhzm6LwMBAPP3005gzZw7GjRvHBI6MhzXiiBquy2VA+yTl2FoOufq/Lru1LC+D3ObYklEM8aGh1ErCYoEYPc7elj9/rxSTJcORNhuQcdjeFh3NUeS3Sr114rp0MVfXIvkWqaoRx90aiJwjhIBFnWSsXQ5ZWuKam/+2BSiqnKca1wJI6u6a+5qMSE4BmlV2fOTnQv66St+AqGbnTgHFRcpxRBQQ21zfeBqIE4jI3DicStQ4/YYA8S2V48J8yA2uSTJs1WrDCSFccl+zEf7+EKNUe9auWAJpteoYEdVEquvDJXY13X+vTOLI3FgjjqhRhMUP4tpb7W3501LIioom3VPmZQN7tzue4YNDqWriymuB8MoV85nnNcPMZBDqnRpMsl+qGpM4MjXtbg0cTiVqCHHFSG2Ssf1/Tbqf3LLesf9kUg+Iqp4+HyWCgiFGqPas/WERZNXQHRmCuifOTEV+q9SbxH322WfIz89HQUEBPvvsM0/EROQ8LmwgajQRFARx9Y32tlyxBFLKRt/PZ2vD1UFcfSMQVLln7blTsL3zMqS1XN+gCEBlndFTGY4T3tgTd9VVV2HRokX4+uuvkZKS4omYiJzH3RqImkRcfaNSpR4AjqcDB3Y36j7yZAZw/IjS8A+A6D/UNQGanAiLgLjrQceJ/b9BLnxTWRVJ+jp+BKiaQtAyASLUfLX86qwTt2DBAgDAvn37AADFxcUAgKlTXVwYkqgRpNUK5OcqDSGAyGhd4yEyIxERBTF0BOTa5QCUrbj8uvdp8H00vXCXD4YIDXNZjGZnuWIEbFkXIb/9HAAgN68DYuIgfnePzpH5NjMX+a1SZxI3depUlJWV4a233oIQAvfffz8CAwM9FRtR3fJyHMfhkRB+frqFQmRm4tpbIdf9CEgJ7NsJefIoRJuOTn9fVlRo9kr19QUNNRE3jgeyMyHX/wgAkD9+A1t0LCwjbtI5Mh9m4iK/VeodTv3yyy9x44034oYbbsCXX37piZiInMOhVCKXEM1bKyVHKskVSxt2g/27HH8eI6OBHn1dFJn3EEJA3DUJUG1BJr/6AHL7rzpG5du0PXHmmw8HOJHE3XDDDejWrRu6deuGG264wRMxETlHXSOO5UWImsRynar479b1kFkXnP6uZih1UAp7xWsh/PxgeeAJoGroTkrYPpwNeWifvoH5IJmfC1w8pzT8A4A2HXSNp7HqTeKqttrau3cv/vOf/+Dll1/Gu+++iz179rg9OKK6yFz1bg1M4oiaQnTsAnTpqTQqKiBXfefU92RRIeTOTY77cFVqnURQECwPzwKat1ZOWMthm/8S5Onj+gbma9RFftt3gvAP0C+WJnCqTtwPP/yAuXPnIjw8HP369UNERATefPNNfP/99+6Oj6h2mt0aOJxK1FSa3rj1KyGLCur9jtz+P6C8TGm06diguXS+SkREwjLjr47FWEUFsM37K2R2pp5h+RSZYf5FDYCTSdz333+PWbNm4e6778Z1112HCRMmYNasWfjhhx/cHR9R7Vgjjsi1LusPtGqrHJcWQ65bUe9X5CbWhmsMEd8SlumzgKBg5UTWRdjefB6yat9ZcivNdlsmrA9XxekdG1q21FbebtGihcuDIWoI7XAqe+KImkpYLBDXqfb7/Pk7yPLaC9PKC2eBqvlcFgtE8lXuDtGriPZJsEz+M1A1h/BkBosBe4C02bTbbSWac2Uq4GQSd/vtt+Pdd9/FmTNnUFZWhtOnT+O9997D+PHjYbPZ7P8QeVSOejiVPXFEriCSUxzTE3KzNaVDqpObVJ/17Me5qY0gLusP8X8POU4c2A35MYsBu9X500BVj2d4JBBn3k6pOuvEVfnggw8AAP/7n3ZfvQ0bNuD999+3t7/66isXhkZUDw6nErmcCAiAGHkz5Df/AgDIlUshrxgBYdH+nV9KCblxteN7rA3XaJYrRsCWnQm5VNnaUm5ZB8Q0g7jtDzpH5p3k0cOORscuEELoF0wTOZXEvf322+6Og6hBpM0G5Oc4TkRzOJXIVcRVoyH/uwgoKQbOnAD2bAf6DNRelL4fuHBWOQ4Jg6j+OTWIuOF2IPuiUnQZyj62tuhYWEbeonNkXujoQfuhmRc1AE4mcfHx8e6Og6hhCvIce96FhkEEcCcRIlcRoWEQV10HuXIpAMC24hv4VUvSNLXhBgyFCAzyZIheRwgB3DVJmeu7azMAQC76CDImlvvQuph6UYNPJHEAsG3bNqSmpiIvL09z/qGHHqrlG0RuxN0aiNxKjLgF8ufvlb8sHU6FPHLQPgFclpVCbt3guJarUl1CWPxguf9x2OY8C6QfqCwG/AYsEVEQXS7TOzyvIMvLgJMZjhMm3amhilMLG77++mu8//77sNls2LRpE8LDw/Hbb78hNDTU3fER1SyXixqI3Ek0i9OsNrWtWGI/lr9tBYorJ4bHtwQ6dfd0eF5LBAXB8tAzQIsE5URVMeBTLAbsEsePABVW5bh5a4iwCH3jaSKnkrg1a9bgmWeewb333gt/f3/ce++9+POf/4wLF5zfloXIlbhbA5H7iVGOciPYuRHy/GkA0C5oGHy1qSeGG5EIj4TlkedUxYALWQzYRTT7pSaaeygVcDKJKywsRLt27QAA/v7+sFqtSEpKQmpqqluDI6pVDndrIHI30aYDcFk/pSGlslI1LxvYt8NxzZCr9QnOyynFgJ8DgkKUE9kXlUSOxYCbRr0ytYOPJHEtW7bEiRMnAABt27bFypUrsX79eoSHh7s1OKJasbwIkUdotuL6dbWyp2pVDbPOPSDiW9byTWoq0b4TLFOedBQDPnUMtgV/r7MAM9VNqlem+kpP3B133IH8/HwAwF133YXly5fj008/xf/93/+5NTii2kgmcUSe0bUX0D5JOS4vg1z+jf0j1oZzP9Hzcoj/e9hx4uAeyI/nshhwI8j8PEdZHH9/wAv2+XVqdWq/fv3sx507d8Zbb73VoIcsWLAAO3bsQFRUFGbPnl3rdWlpaXj66acxc+ZMDB48GGVlZXjuuedgtVpRUVGBwYMHY/z48QCAgoICzJkzBxcuXEB8fDxmzpzJnkFfolrYIFgjjshthBAQ142FfP8f2g8CAln6wkMsV1wDW04m5JJPAQBy6y9ATCzE7ffpHJnJZKiGUtsmQgQE6BeLi9TbE2e1Wu3HBw4cQGpqqv2fiqo6XfUYPnw4nnrqqTqvsdls+Pzzz9G3b1/7uYCAADz33HP4xz/+gddeew27du3CoUPKpMSlS5eiV69eePPNN9GrVy8sXbrUqVjIS7AnjshjRL8rgNjm2nN9B0GEhukUke8R198GMfwGe1uuXArbqm/1C8iEpBcV+a1SZxK3cuVKvPPOO/b23/72N7z11lt466238Prrr2PdunVOPaRHjx719pItX74cgwYNQmRkpP2cEALBwcEAgIqKClRUVNhXQW3duhUpKSkAgJSUFGzdutWpWMj8pJSsE0fkQcLPD2LUGO051obzKCEExJ0PAH0H28/JRf+ETVWvj+qmXpkKX0ji1q1bh5tvvtneDggIwDvvvIN33nkHs2bNws8//+ySILKysrBlyxaMGjXqks9sNhueeOIJ3H///ejVqxc6d1YK8+Xm5iImRumBiYmJuaQIMXmx4kKgvEw5DgwCgkP0jYfIB4ihI4HoWKXRvDXQva+u8fgiYfGD5YHHgE7dlBNSQv7zDciDe/UNzASklJqVqd6wqAGoZ07c+fPn0aFDB3u7TZs29uP27dvj/PnzLgli4cKFmDBhAiyWS3NKi8WCf/zjHygsLMTrr7+O48eP28udOGvVqlVYtWoVAOCVV15BXFycS+I2I39/f9P/fuuJAlRVS/KLjUecB7aF84b3pge+t8Yx6nuzvvwuyrZuQNCgq+DXvIXe4dTIqO/OlWyz5iDrqUmoOHUcsFohF/wdMX9/B/7tOzX6nt7+3qxnTiKzUFmgKcIjEde9l0vqG+r93upM4kpKSlBSUmIf0nzxxRftn5WWlqKkpMQlQaSnp2PevHkAgLy8POzcuRMWiwXJycn2a8LCwtCjRw/s2rUL7dq1Q1RUFLKzsxETE4Ps7GzNMGx1I0eOxMiRI+3tixcvuiRuM4qLizP975cZ6fbjivBIj/web3hveuB7axzDvjf/IGDICBQBgBHjg4HfnYvJh54FXvkTkJsNWVSAzOdnwvLkaxDNGpdQePt7s23fZD+WHZKQmemawsmeeG+tW7eu9bM6h1PbtWuH3bt31/jZrl270LZt26ZFVmn+/Pn2fwYPHoz7778fycnJyMvLQ2GhUtiwrKwMe/bsQUKCshXJgAED7HPy1q1bh4EDB9Z6f/Iu2t0aOB+OiHyPiGuhFAMOVhUDfvN5yKICfQMzqqPes+m9Wp09cTfccAM+/PBDAErSZLFYYLPZsG3bNvzzn/90uk7c3LlzkZqaivz8fEyePBnjx4+3r3qtaR5clezsbMyfPx82mw1SSgwZMgT9+/cHAIwZMwZz5szB6tWrERcXh0cffdSpWMgLcGUqERFEu0RYpjwJ25svABUVSjHg+X+HZcbzXlE+w5WkLyZxQ4cORVZWFt566y1YrVZERkYiLy8PAQEBuO2223DllVc69ZAZM2Y4HdC0adPsx+3bt8drr71W43URERGYNWuW0/clL5LLLbeIiABA9Lgc4p7pkP+co5w4tFc5fuBxiBrmmfsiWV4OnDjiOOEF221VqbfY780334wRI0bg0KFDyM/PR0REBLp06YLQ0FBPxEd0KfbEERHZWYZcDVtOFuTifwEA5LYNSjHg8X/UOTKDOHkUqKp5G98SIqL2OfRm49SODaGhoZoivER60syJi2YSR0QkRo8Dsi9CrvkvAED+9C1s0bGwVKvv54u8dSgVcHLvVCJD4XAqEZGGEALi9/cDl6uKAX/9T9i2rNcxKoPwwiK/VZjEkflwOJWI6BLC4gfL/Y8BSd3t5+THcyEP7tExKv3JI+yJIzIEWVoKFBcpDX9/ICxC34CIiAxEBAbB8tAzQMvK4vxWK2zz/w55MkPXuPQiC/OB86eVhp8/0C5R34BcjEkcmYt6KDUyxiUVt4mIvIkIi4Blxl8d002KC2Gb9zxk1gVd49KFaqsttOkAERCoXyxuwCSOzIVDqURE9RKxzWGZPstRDDgnU0nkCn2rGLBmUYOX7JeqxiSOzIWLGoiInCLaJcIy9SllGBEATh+HbcFLkOVl+gbmQVKzqKGrfoG4CZM4MhWWFyEicp7o3gfi3umOE4f2QX40B9Jm0y8oD5FSVttuq7OO0bgHkzgyF01PHJM4IqL6WAYPh/jdPfa23P4/yEUfKUmON7t4DijIU45Dw4DmtW8kb1ZM4shcctRz4jicSkTkDHHdOIhrbrK35c/fQ/60VL+APEAeOehodOjilduQed8vIq+mGU5lTxwRkVOEEBB3/BHod4X9nPz6Y+8uBpzhWJnqjUOpAJM4MhsubCAiahSlGPCjQOce9nPyn3Mh9/+mY1Tuo91uy/sWNQBM4shsWGKEiKjRREAgLNOeBlq1VU5UWGF752WUZ6TpG5iLSWs5cCzdcYI9cUT6ktZyxyRVYQEio/QNiIjIhERYBCyP/BWIrioGXIScv/8JsqxU17hc6tQxwFquHMc2h4iM1jUcd2ESR+aRl+M4joyCsPjpFgoRkZmJ2HhYHnkOCAkFANgunIVcu0znqFxHs19qoncOpQJM4shMOJRKROQyok1HiLET7W257D+QRYU6RuRCR1UrU71s03s1JnFkHlzUQETkUmLYKCC+pdIozIdcsUTfgFxEHlWvTGUSR6Q7mcPyIkREriT8AyBunWBvy1Xfako5mZEsKgDOnlQafn5Au0R9A3IjJnFkHhxOJSJyOTFwGPw7VK7eLCuF/OErfQNqKlV9OCR0gAgM0i8WN2MSR+bB4VQiIpcTFgvC755sb8tfVkCeP6NjRE2jGUpN9N6hVIBJHJkId2sgInKPwH6DgS49lUZFBeS3n+sbUBOoi/yiA5M4ImPgcCoRkVsIIWAZd4+9Lbeshzx+RMeIGkdKCaj2TGVPHJFRqIdTozmcSkTkSqJTN6DvIHvbtuQTHaNppMzzQH6uchwSCrRI0DceN2MSR6YgbRVAbo7jRCR74oiIXM0yZqKyIw4A7N0BeXCPvgE1kHo+HDp0hrB4d5rj3b+OvEd+HiBtynFYBERAgL7xEBF5IZHQDmLI1fa2bfEnyhClWaiK/HpzfbgqTOLIHDQrU9kLR0TkLuKWOwF/f6Vx5CCwa7O+ATWAelEDkzgio+CiBiIijxCxzSGG32hv25Z8qkxpMThptQLH0x0nmMQRGYPMcfTECdaIIyJyK3HD7UBwiNI4cwJy4xp9A3LG6WNAWZly3CzeJ0pRMYkjc2BPHBGRx4iISIjrxtrb8rt/Q5aX6RhR/eQR3xpKBZjEkVmok7hoJnFERO4mRt4KREQpjayLkGuW6RtQfTJURX69vD5cFSZxZAqSW24REXmUCA6BuPEOe1su/xqyqFDHiOqm6Ynz8p0aqjCJI3PglltERB4nUq4DYpsrjYJ8yJVL9A2oFrK4CDh7UmlYLED7JH0D8hAmcWQOmjlx7IkjIvIE4R8AMWaCvS1/+hYyL7uOb+gk4zBQVc8uoT1EUJC+8XgIkzgyPCkl68QREelEJKcAbToojbJSyB++0jWemvhafbgqTOLI+IoKAKtVOQ4Kgaha9k5ERG4nLBZYxk60t+X6FZAXzuoY0aXUSZwv1IerwiSOjC+H5UWIiHTVawDQuYdyXFEB+e3n+sajIqUEND1xXXWMxrOYxJHxqYdSWV6EiMjjhBCwjLvH3pZb1kOeOKpjRCrZFx3zpoNCgFYJ+sbjQUziyPCkZmUqFzUQEelBJHUH+iQrDSlhW/KpvgFVUQ+ldkiCsPjpF4uHMYkj4+OiBiIiQ7CMnQgIoTT2bIM8tFffgFCtPpyPFPmtwiSOjI9bbhERGYJIaA8x+Gp727b4E2VOmo5khu8V+a3CJI6MjzXiiIgMQ9xyJ+DvrzTSDwC/bdYtFllRAWSkOU6wJ47IWNRbbnG3BiIifYm4FhAp19vbtsWfQtoq9Anm9HGgrFQ5jomDiI7VJw6dMIkj48thTxwRkZGIG8crK0EB4MwJyI1rdYnDV+vDVWESR8anHk5liREiIt2JiCiIUWPsbfndvyHLyzwfiKY+XGfPP19nTOLI0GRJMVBarDT8A4DQcH0DIiIiAIAYdSsQEaU0si5Arlvu8Rikjxb5rcIkjoyt2spUUbW0nYiIdCWCQ5Vh1Uryv19DFhd57PmypEiZEwcAwgK07+SxZxsFkzgyNtaIIyIyLHHVaCC2udIoyINcudRzDz+WDlSVN2nd1if31WYSR4YmWSOOiMiwREAAxK0T7G3501LIvOw6vuE62iK/vjeUCjCJI6PTlBfhylQiIqMRg64CEtorjdISyP9+7ZHnqov8+uLKVIBJHBldDnviiIiMTFj8YBn7f/a2XPcj5IWz7n/wEd9emQowiSOj43AqEZHx9R4AJPVQjiuskN/9262Pk9mZQE6m0ggKBlq3c+vzjIpJHBmaZreGaA6nEhEZkRAClnGq3rjN6yBPHnXfA48edBy3T4Kw+LnvWQbGJI6MjT1xRESmIDr3AHoPVBpSwrb4U7c9Sx497Hiujw6lAkziyOhyueUWEZFZWMZOBKrqee7ZBnlon1ue4+tFfqswiSPDkuXlQGG+0hAWICJS34CIiKhOok0HiEHD7W3b4n9BVtVycxFpqwAy0hwnfHRlKsAkzqfYVi5B9qyHIdNS9Q7FOepaQ5HRPjvngYjITMStdwF+/koj/QCwe6trH3DmpGM7xuhmEM3iXHt/E2ES5yPk6eOQX3+Msj3bYXvrRW0RXaPK4W4NRERmI+JaQAy/3t62Lf5E6T1zEXlEtaihg+/2wgFM4nyG3P+bo1FUCPnF+/oF4ywuaiAiMiVxw+1AUOU2WKePQ25a57qbq+fDJTKJIx8gD+7Rtrf/D3LXJp2icY66t5DlRYiIzENERkOMutXelt/9W5nn7ALalalM4sjLSZsNqGGFkO3zdyGLCnWIyEm5HE4lIjIrMWoMEF65IC3zPOS65U2+pywtAU4dq3yAANonNfmeZsYkzhecOmZf5SkiooCIKOV8ThbkNwv1i6s+HE4lIjItERwKceN4e1v+dxFkcVHTbnosDZA25bhVW4iQ0Kbdz+SYxPkA9VBqYO8BEHdOcny2fgXkwb16hFUvzXAqa8QREZmOSLkeiG2uNAryIH9a2qT7cShVi0mcD1AnaYGXXQ4xYCjQJ9l+zvbJ25BlpXqEVjcOpxIRmZoICIC45S57W678FjIvp9H3k+rttpjEMYnzdsp8OFUS17OfssfdhClAVTf0+dOQP3ypU4R14G4NRESmJwanAAntlUZpMeSyrxt/M81ODUzimMR5u5MZQFGBchwZDb82yh8kERML8bt77ZfJFUsgj6d7Pr5aSFsFkJfrOBEVrVssRETUeMLip2zHVUmuXQ558VyD7yNzsoCsi0ojMNCRGPowJnFeTh5yzIcTXXtBVO1pB0AMGwV06ak0bDbY/vU2ZIXrCjI2SV6uY/JqeASEf4C+8RARUeP1HggkdVeOK6yQ3/674ffIcPTCoV0ShB938WES5+U0ixa6XKb5TFgssEx8CKhKkI6nQ6761oPR1YFDqUREXkMIAcu4e+xtuXkt5MmMBt1DHmGR3+qYxHmx6vXhRNdel1wjWiZA3Px7x3e+/Tfk+dMeia9OXNRARORVROceQK8BSkNK2JZ82qDvS86HuwSTOG928qhjPlxUDNAyocbLxKixQNuOSqO8DLZP5kNK6aEga6YtL8IkjojIG1jGTVSK9ALA7q2Qh1Od+p602YAMR3kRdOzqhujMh0mcF1MPpYoul2nmw6kJf39Y7nkYEJX/ORzcA7nhJ0+EWDtNTxyHU4mIvIFo0xFiUIq9bVv8L+c6Dc6eBEqKlePIaKBZnHsCNBkmcV5Ms19qDUOpaqJ9knafu68/hszJdFdo9eNuDUREXkncchfg56800vYDu7fV+x31UCo6dqm1U8LXMInzUtJWARxWz4e7rI6rK6+5+S4gvqXSKC6E7Yv33RVevWQOFzYQEXkjEd8SImW0vW1b8onyv1l14Xy4GjGJ81YnMoCqze2jmgEtap4PpyaCgmCZOM1xYsdGyB2/uie++qiGUzknjojIu4gbxwNBwUrj1DHIzevrvJ6LGmrGJM5LqYdSRdfa58NVJ7r3gbjyWnvb9u/3IAsLXB5fvdTDqdHsiSMi8iYiMhri2jH2tvz2c8jy8hqvlaWlSuF6QFkU0aGz+wM0CSZxXkqqttqCE0OpauK2PzjmoeVmQ/7nYxdGVj8pJZDH4VQiIm8mRo0BwiOVRuZ5yPU/1nzhiXTAVln8vWUbiNAwj8RnBkzivJC0VWjrw3Wpe1FDdSIsHJa7Jjnut+EnyP2/uSy+ehXmA1archwSChEU5LlnExGRR4iQUIgbb7e35X8XQZYUXXKdpsgve+E0PJLELViwAPfffz8ee+yxOq9LS0vDHXfcgU2bNgEALl68iOeffx4zZ87Eo48+imXLltmvXbRoESZNmoQnnngCTzzxBHbs2OHW32AqJ44CxZXz4aKbAS1aN/gWot8VwOWD7W3bp/OVLm1P4MpUIiKfIFKuB5rFK438XMiVNewapF6Zyp0aNPw98ZDhw4dj9OjRmD9/fq3X2Gw2fP755+jbt6/9nJ+fHyZOnIjExEQUFxfjySefRO/evdGmTRsAwI033ohbbrnF3eGbjmY+XJdejV6KbblrEmwH9igJ4YWzkN//WxlqdTfWiCMi8gkiIBDi1rsgP54HAJArl0JefQNERJT9Gu2iBhb5VfNIT1yPHj0QHh5e5zXLly/HoEGDEBkZaT8XExODxMREAEBISAgSEhKQlZVV2y2okma/1AbOh1MT0bEQtzuSNrnyW8hjaU0JzSnq8iJcmUpE5N3E4OFA63ZKo7QY8r+L7J/JvBwg87zSCAgEEtp7PD4jM8ScuKysLGzZsgWjRo2q9Zrz58/j6NGjSEpKsp9bsWIFHn/8cSxYsAAFBTqsoDQgWVG9PlzD5sNVJ6681lEoWNpgW/gWZNV8NXfhcCoRkc8QFj9Yxk60t+W65ZAXzykN9VBqu0QIf48MIJqGId7GwoULMWHCBFgsNeeUJSUlmD17Nu69916EhoYCAEaNGoXbbrsNAPDVV1/hk08+wdSpU2v8/qpVq7Bq1SoAwCuvvIK4OO/drqM8bT+yipWJoZbYeMT10A6n+vv7N/j3Wx95Fpkz7gbKyoCTRxH6v5UI+93/uTRutfyyYlRNbQ1r3RZhBvj31Zj3RnxvjcX31nh8d42j93uTI25A9s/fofzAHsBqReCKxYh65FkUnD2ByhneCO3RBxEG+3er93szRBKXnp6OefOU8fC8vDzs3LkTFosFycnJsFqtmD17NoYNG4ZBgwbZvxMdHW0/HjFiBF599dVa7z9y5EiMHDnS3r548aLrf4RB2DZvsB/LpB7IzNRunRUXF9fw3x8QDHHznZDf/AsAUPDlRyjq2geiZf0FhBvDdva0/bjQPxDFBvj31aj3RnxvjcT31nh8d41jhPcmb74LOPAXAEDJuh9RNvwG2FIdlRGKW7VDqcH+3XrivbVuXfviREMkceoFD/Pnz0f//v2RnJwMKSXeffddJCQk4KabbtJ8Jzs7GzExylDbli1b0LZtW4/GbFQN2S+1IcS1YyC3bgCOpwPWctg+fRuWx16CqKX3tCkkd2sgIvI5oktPoNcAYM82QErYFn8CHD3s+JzlRS7hkSRu7ty5SE1NRX5+PiZPnozx48fDWjmvqq55cAcPHsT69evRrl07PPHEEwCAO++8E/369cNnn32GjIwMCCEQHx+PBx980BM/xdBcPR9OTfj5wXLPw7C99KhSdPHQPshfVmr2v3MZ7tZAROSTLOMmwrZ3OyAlsHur44OIKCCuhX6BGZRHkrgZM2Y4fe20aY69O7t164ZFixbVeN3DDz/c1LC8z/EjQEmxchwT59jM3kVEu0SI68ZCLv8GACC/WQjZeyBETKxLn8OFDUREvkm06QiRfBXk5nXaDzp2aXS5LG9miNWp5BryUOP2S20IcdPvgeaV4/PFRbD9+11lmywXkSVFQGmJ0ggIBEK4vQoRkS8Rt04A/LR9TKIjh1JrwiTOi2jqw3VpfH24uojAIFj+7yHHiV2bge3/c90DcrS9cPybFxGRbxHxLSGuuk57jkV+a8QkzktcMh+uW2+3PUt0vUzzB8z27/cgC/Ndc3MOpRIR+Txx03ggKFhp+PkDXNRQIyZx3uJ4umM+XLM4t08AFb+717HoID8XctE/XXJfyS23iIh8noiMgeWBx4GuvSAmToUIq3vXJ1/FJM5LuGq/VGeJ0DBYJkx2PP/XnyFTdzX9xrnccouIiADRJxl+j78Ey9CR9V/so5jEeQlX7ZfaEKLvYKD/Ffa27dP5kFWLEhpL0xPHJI6IiKg2TOK8gLRagcOp9rYr68PVx3LnJCC0spv74jnIbz9v2g1ZI46IiMgpTOK8wfF0oLRqPly8RwsiiqgYiPH32dty1feQqgrbDSU5nEpEROQUJnFeQD2U6q76cHURV4wAuvepDMYG27/eVHoHGyOHCxuIiIicwSTOC8iDux0NDw6lVhFCwDJxGhAYqJw4dQxyxeLG3YwlRoiIiJzCJM7kpNUKpO23tz05H05NxLdUqmxXkj98CXnmZIPuIcvLgKICpeHnB4RHujJEIiIir8IkzuyOpTm2qYptDqHjBsFixC1A+ySlYbXC9snbkDab8zdQ98JFRENY+J8nERFRbfi/kiYnD6nmw7lpqy1nCT8/WO59WOlFA4C0VMh1Pzp/Aw6lEhEROY1JnMnJA44iv3rMh6tOtOkIcd3v7G25+F+QWRec+7J6UQPLixAREdWJSZyJKfPh1PXh9O2JqyJuGg+0TFAaJcWwff4upJT1fk+95RbLixAREdWNSZyZHUsDykqVY53nw6mJgEBYJj7kOLF7K+TWX+r/IodTiYiInMYkzsQ0+6UaYChVTXTpCTH8entbfvkBZEFe3V/KZY04IiIiZzGJMzF1EmeE+XDViXH3ADFxSiM/F3LRR3Vez90aiIiInMckzqSktbxafThjzIdTEyGhsEyYYm/LjWsg9+6o/Qs56uFU9sQRERHVhUmcWWWo5sPFtYCIba5vPLUQfQZCDBxmb9s+WwBZUlzzxZrhVPbEERER1YVJnElp58MZrxdOTfz+ASAsQmlknodc+tkl18iKCqBqzpwQQGS05wIkIiIyISZxJqWdD9dbv0CcICKjIcb/0d6Wq3+ATD+gvSgvB6gqQxIeCeHv77kAiYiITIhJnAlJazmQrpoPp/NODc4QQ64GelyuNKRUtuSyljsu4FAqERFRgzCJM6OMw0BZmXIc3xIiNl7feJwghIBl4lQgMEg5cfo45PJvHBewRhwREVGDMIkzIfVWW2bohasi4lpAjL3b3pb/XQR5+rhyrNmtgStTiYiI6sMkzoTUm96jm/Hqw9VFXHMT0LGL0qiwKsOqtopq5UXYE0dERFQfJnEmI8vNNx9OTVj8YLnnYcCvcuFC+gHItcurDaeyJ46IiKg+TOLMpvp8uGbGnw9XnUhoD3H9bfa2XPwp5LE0x+fR7IkjIiKqD5M4k5EHd9uPjbZfakOIG24HWrVVGqXFgCqJ43AqERFR/ZjEmYw8qJoPZ+YkLiAAlv97SCnsWx2HU4mIiOrFJM5ElPlwjiK5ZpsPV51I6g4x/IZLP2BPHBERUb2YxJnJ0UNAeeV8uOatIJrF6RuPC4hxEwH17wgJg6iqJUdERES1YhJnItr9Us07lKomgkNhuXua40TLBP2CISIiMhFuUGki2v1SvSOJAwDRqz/E3VMh926HRbVqlYiIiGrHJM4kZHkZcOSgvW32+XDVWVJGAymj9Q6DiIjINDicahaa+XCtIWJi9Y2HiIiIdMUkziQ0+6WabKstIiIicj0mcSah2S/Vy4ZSiYiIqOGYxJmALC/T1ofryiSOiIjI1zGJM4MjBwFruXLcIgEimvPhiIiIfB2TOBPwxvpwRERE1DRM4kxAu18qh1KJiIiISZzheXt9OCIiImocJnFGl37AMR+uZQJEdDN94yEiIiJDYBJncOqhVM6HIyIioipM4gxOHvLO/VKJiIioaZjEGZgsK+V8OCIiIqoRkzgjSz8AWK3Kcau2EFEx+sZDREREhsEkzsDUW21xlwYiIiJSYxJnYOoiv+jC+XBERETkwCTOoGRpKXD0kL0tuvbUMRoiIiIyGiZxRnWk2ny4SM6HIyIiIgcmcQbF/VKJiIioLkziDEpb5JeLGoiIiEiLSZwBVZ8PB9aHIyIiomqYxBlR+n6gonI+XOt2EJHRuoZDRERExsMkzoA4lEpERET1YRJnQOr9UrmogYiIiGrCJM5gZGkJcPSw4wTnwxEREVENmMQZjXo+XEJ7iIgofeMhIiIiQ2ISZzCa+XDshSMiIqJaMIkzGBb5JSIiImcwiTMQWVIMZHA+HBEREdWPSZyRpB8AKiqU44T2EBGR+sZDREREhsUkzkA4lEpERETOYhJnIPIQi/wSERGRc5jEGQTnwxEREVFDMIkzirT9jvlwbTpAhHM+HBEREdWOSZxBcKstIiIiaggmcQYhD6iSOA6lEhERUT2YxBmALCkCjqUpDSEALmogIiKiejCJM4K0/YDNphwndIAIi9A3HiIiIjI8JnEGoNkvlb1wRERE5AQmcQbAIr9ERETUUEzidCaLq82H69JT34CIiIjIFJjE6U09H64N58MRERGRc/w98ZAFCxZgx44diIqKwuzZs2u9Li0tDU8//TRmzpyJwYMH4+LFi5g/fz5ycnIghMDIkSNxww03AAAKCgowZ84cXLhwAfHx8Zg5cybCw8M98XNcikOpRERE1Bge6YkbPnw4nnrqqTqvsdls+Pzzz9G3b1/7OT8/P0ycOBFz5szBSy+9hBUrVuDkyZMAgKVLl6JXr15488030atXLyxdutSNv8B9tEkcFzUQERGRczySxPXo0aPeXrLly5dj0KBBiIx0bDcVExODxMREAEBISAgSEhKQlZUFANi6dStSUlIAACkpKdi6dauboncfZT5cutIQAujMJI6IiIicY4g5cVlZWdiyZQtGjRpV6zXnz5/H0aNHkZSUBADIzc1FTEwMACXZy8vL80isLpWWCsjK+XBtO0KEmW84mIiIiPThkTlx9Vm4cCEmTJgAi6XmnLKkpASzZ8/Gvffei9DQ0Abff9WqVVi1ahUA4JVXXkFcXFyT4nWV/OPpKKo8Du0zEBEeiMvf398wv99M+N4ah++tcfjeGo/vrnH43hpH7/dmiCQuPT0d8+bNAwDk5eVh586dsFgsSE5OhtVqxezZszFs2DAMGjTI/p2oqChkZ2cjJiYG2dnZmmHY6kaOHImRI0fa2xcvXnTfj2mAip2b7ccl7Tuj1ANxxcXFGeb3mwnfW+PwvTUO31vj8d01Dt9b43jivbVu3brWzwyRxM2fP19z3L9/fyQnJ0NKiXfffRcJCQm46aabNN8ZMGAA1q1bhzFjxmDdunUYOHCgp8NuEllUCBw/ojSEADr30DcgIiIiMhWPJHFz585Famoq8vPzMXnyZIwfPx5WqxUA6pwHd/DgQaxfvx7t2rXDE088AQC488470a9fP4wZMwZz5szB6tWrERcXh0cffdQTP8V1NPPhEiFCOR+OiIiInOeRJG7GjBlOXztt2jT7cbdu3bBo0aIar4uIiMCsWbOaGppuWFqEiIiImsIQq1N9kXbT+946RkJERERmxCROB7KoQDUfzgJ07q5vQERERGQ6TOL0cHi/Yz5cO86HIyIiooZjEqcDeXC3/Zjz4YiIiKgxmMTpQDsfjpveExERUcMxifMwWVQAnFDNh0tifTgiIiJqOCZxnnY4FZBSOW6XCBEapm88REREZEpM4jxMHlDXh+NQKhERETUOkzgPk4dUSVw3JnFERETUOEziPEgWFgAnjioNzocjIiKiJmAS50mH9znmw7XvBBESqm88REREZFpM4jxIu18qh1KJiIio8ZjEeRCTOCIiInIVJnEeIgvzgZMZSsNiAZK4XyoRERE1HpM4Tzmkng+XxPlwRERE1CRM4jyEQ6lERETkSkziPES7Xyo3vSciIqKmYRLnAbIwHziVoTQ4H46IiIhcgEmcJxzcq50PF8z5cERERNQ0TOI8QB5SDaVyqy0iIiJyASZxHqBZ1NCFSRwRERE1HZM4N5MFeawPR0RERC7HJM7dVEOp6NAZIjhEv1iIiIjIazCJczNtaREOpRIREZFrMIlzMxb5JSIiIndgEudGMj8POHVMafj5AZ266RsQEREReQ0mce7E+XBERETkJkzi3IhDqUREROQuTOLcSFPkl/ulEhERkQsxiXMTmZ+rmg/nD3RifTgiIiJyHSZx7qKeD9exM0RQsH6xEBERkddhEucm3GqLiIiI3IlJnJtoi/xyPhwRERG5FpM4N5B5OcDp40qD8+GIiIjIDZjEuYNmPlwXiKAg/WIhIiIir8Qkzg04lEpERETuxiTODVjkl4iIiNyNSZyLybxs4MwJpeHnDyRyv1QiIiJyPSZxLiYP7nM0EjkfjoiIiNyDSZyrHeJQKhEREbkfkzgX0yxq6MJFDUREROQeTOJcSOaq5sP5+wOdOB+OiIiI3INJnAtJdX24xK4QgZwPR0RERO7hr3cA3kQkdgV+/wDkgT0QnblLAxEREbkPkzgXErHNIUbcDIy4We9QiIiIyMtxOJWIiIjIhJjEEREREZkQkzgiIiIiE2ISR0RERGRCTOKIiIiITIhJHBEREZEJMYkjIiIiMiEmcUREREQmxCSOiIiIyISYxBERERGZEJM4IiIiIhNiEkdERERkQkziiIiIiEyISRwRERGRCTGJIyIiIjIhJnFEREREJsQkjoiIiMiEmMQRERERmRCTOCIiIiITYhJHREREZEJM4oiIiIhMiEkcERERkQkJKaXUOwgiIiIiahj2xPmYJ598Uu8QTInvrXH43hqH763x+O4ah++tcfR+b0ziiIiIiEyISRwRERGRCTGJ8zEjR47UOwRT4ntrHL63xuF7azy+u8bhe2scvd8bFzYQERERmRB74oiIiIhMyF/vAMgzLl68iPnz5yMnJwdCCIwcORI33HCD3mGZhs1mw5NPPolmzZrpvhrJLAoLC/Huu+/ixIkTEEJgypQp6NKli95hGd4PP/yA1atXQwiBtm3bYurUqQgMDNQ7LMNZsGABduzYgaioKMyePRsAUFBQgDlz5uDChQuIj4/HzJkzER4ernOkxlLTe/v000+xfft2+Pv7o0WLFpg6dSrCwsJ0jtRYanpvVb777jt89tln+PDDDxEZGenRuNgT5yP8/PwwceJEzJkzBy+99BJWrFiBkydP6h2WaSxbtgwJCQl6h2EqH3/8Mfr27Yu5c+fiH//4B9+fE7KysrB8+XK88sormD17Nmw2G3799Ve9wzKk4cOH46mnntKcW7p0KXr16oU333wTvXr1wtKlS/UJzsBqem+9e/fG7Nmz8frrr6NVq1ZYsmSJTtEZV03vDVA6SPbs2YO4uDgdomIS5zNiYmKQmJgIAAgJCUFCQgKysrJ0jsocMjMzsWPHDowYMULvUEyjqKgI+/fvxzXXXAMA8Pf359/snWSz2VBWVoaKigqUlZUhJiZG75AMqUePHpf0sm3duhUpKSkAgJSUFGzdulWP0AytpvfWp08f+Pn5AQC6dOnC/22oQU3vDQD+9a9/YcKECRBC6BAVh1N90vnz53H06FEkJSXpHYopLFy4EHfffTeKi4v1DsU0zp8/j8jISCxYsADHjh1DYmIi7r33XgQHB+sdmqE1a9YMN998M6ZMmYLAwED06dMHffr00Tss08jNzbUnvTExMcjLy9M5IvNZvXo1rrjiCr3DMIVt27ahWbNm6NChg24xsCfOx5SUlGD27Nm49957ERoaqnc4hrd9+3ZERUXZezHJORUVFTh69ChGjRqF1157DUFBQRzackJBQQG2bt2K+fPn47333kNJSQnWr1+vd1jkIxYvXgw/Pz8MGzZM71AMr7S0FIsXL8Ydd9yhaxxM4nyI1WrF7NmzMWzYMAwaNEjvcEzh4MGD2LZtG6ZNm4a5c+di7969ePPNN/UOy/BiY2MRGxuLzp07AwAGDx6Mo0eP6hyV8e3ZswfNmzdHZGQk/P39MWjQIBw6dEjvsEwjKioK2dnZAIDs7GyPTzI3s7Vr12L79u2YPn26bkODZnLu3DmcP38eTzzxBKZNm4bMzEz8+c9/Rk5Ojkfj4HCqj5BS4t1330VCQgJuuukmvcMxjbvuugt33XUXAGDfvn34/vvvMX36dJ2jMr7o6GjExsbi9OnTaN26Nfbs2YM2bdroHZbhxcXF4fDhwygtLUVgYCD27NmDTp066R2WaQwYMADr1q3DmDFjsG7dOgwcOFDvkExh165d+Pbbb/H8888jKChI73BMoV27dvjwww/t7WnTpuHll1/2+F8cWOzXRxw4cACzZs1Cu3bt7H/LuvPOO9GvXz+dIzOPqiSOJUack5GRgXfffRdWqxXNmzfH1KlTWe7BCYsWLcKvv/4KPz8/dOjQAZMnT0ZAQIDeYRnO3LlzkZqaivz8fERFRWH8+PEYOHAg5syZg4sXLyIuLg6PPvoo/5urpqb3tmTJElitVvu76ty5Mx588EGdIzWWmt5b1cItgEkcERERETUA58QRERERmRCTOCIiIiITYhJHREREZEJM4oiIiIhMiEkcERERkQkxiSMir7Bo0SIWYiYin8Jiv0RkGhs2bMAPP/yAU6dOISQkBB06dMC4cePQrVs3l9z//PnzeOihh/DFF1/YNwR3BavVisWLF2PDhg32nQR69uyJ2267Dc2bN3fZc6rbt28f3nrrLbz77rtuewYR6YdJHBGZwg8//IClS5figQceQJ8+feDv749du3Zh69atLkvimqqioqLG5G/27NnIysrC9OnT0bFjR5SWlmL9+vXYu3evpmAoEVFDsNgvERleUVERJk2ahKlTp2LIkCE1XrNo0SKcPXsW06dPr7EHatq0aZg0aRJ69+6NtLQ0fPjhhzhz5gwCAwNx5ZVX4p577sGUKVOQmZlp33ro2WefRZcuXbB69Wp8//33yMnJQVJSEh588EHEx8cDAMaPH4/77rsPy5YtQ0VFBebPn6+Ja/fu3Xj11Vcxb948xMXF1Rh7VlYWPvjgAxw4cADh4eG49dZbMXLkSADA/PnzERsbi9///vcALu1dmzZtGq677jqsX78eFy5cQN++fTFt2jTYbDb88Y9/hNVqRWBgIABg3rx5aNasWWP/NRCRwbAnjogM79ChQygvL0dycrJL7vfxxx/jhhtuwFVXXYWSkhIcP34cAPD888/joYcewsKFC+09alu2bMGSJUvw5z//Ga1atcLSpUsxb948/O1vf7Pfb+vWrfj73/9uT5bU9uzZg6SkpFoTOEBJrtq2bYv33nsPp0+fxosvvogWLVqgV69eTv2ejRs34qmnnkJgYCCeffZZrF27FqNGjcJTTz3F4VQiL8aFDURkePn5+YiIiHDZPDV/f3+cPXsWeXl5CA4ORpcuXWq9dtWqVRg7dizatGkDPz8/jB07FhkZGbhw4YL9mrFjxyI8PLzGJC4/Px8xMTG13v/ixYs4cOAAJkyYgMDAQHTo0AEjRozA+vXrnf49119/PZo1a4bw8HD0798fGRkZTn+XiMyLPXFEZHgRERHIz8+vdc5ZQ02ePBlfffUVZs6ciebNm+O2225D//79a7z2woUL+Pjjj/HJJ5/Yz0kpkZWVZR9SjY2NrTP2M2fO1Pp5dnY2wsPDERISYj8XFxeH9PR0p39PdHS0/TgwMBBZWVlOf5eIzItJHBEZXpcuXRAQEICtW7di8ODB9V4fFBSE0tJSe9tmsyEvL8/ebtWqFWbMmAGbzYYtW7bgjTfewEcffQQhxCX3iouLw7hx4zBs2LBan1fT96r06tULy5YtQ2ZmZo3JXkxMDAoKClBcXGxP5C5evGifu1b9t+Tk5NT+wxsQFxGZH4dTicjwQkNDcccdd+Cjjz7Cli1bUFpaCqvVip07d+Kzzz675PrWrVujvLwcO3bsgNVqxTfffIPy8nL75+vXr0deXh4sFgtCQ0MBABaLBZGRkRBC4Ny5c/Zrr732WixduhQnTpwAoCyy2Lhxo9Ox9+7dG71798brr7+OI0eOoKKiAsXFxVi5ciVWr16NuLg4dO3aFf/+979RVlaGY8eOYc2aNfaksUOHDti5cycKCgqQk5ODZcuWOf3sqKgo5Ofno6ioyOnvEJF5sCeOiEzhpptuQlRUFBYvXoy33noLwcHBSExMxLhx4y65NjQ0FPfffz/effdd2Gw23HLLLZpesF27duGTTz5BaWkp4uPj8cgjj9jns40bNw7PPvssKioq8NRTTyE5ORklJSWYO3cuLl68iNDQUPTq1avWVbI1eeyxx7B48WLMmTMHOTk5iIiIQO/evXHbbbcBAB555BF88MEHmDRpEsLDw3H77bejd+/eAICrrroKe/bswbRp0xAfH4/hw4fjhx9+cOq5CQkJGDp0KB566CHYbDa88cYbXJ1K5EVYYoSIiIjIhDicSkRERGRCTOKIiIiITIhJHBEREZEJMYkjIiIiMiEmcUREREQmxCSOiIiIyISYxBERERGZEJM4IiIiIhNiEkdERERkQv8PpiFM0f9b1/oAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"OptimalK.plot_results(optimalK)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Computing the \"optimal\" clustering."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Now that we have the optimal clusters, n, we build our own KMeans model...\n",
"km = KMeans(n_clusters)\n",
"km.fit(X)\n",
"\n",
"df = pd.DataFrame(X, columns=['x','y'])\n",
"df['label'] = km.labels_\n",
"\n",
"colors = plt.cm.Spectral(np.linspace(0, 1, len(df.label.unique())))\n",
"\n",
"for color, label in zip(colors, df.label.unique()):\n",
" \n",
" tempdf = df[df.label == label]\n",
" plt.scatter(tempdf.x, tempdf.y, color=color)\n",
" \n",
"plt.scatter(km.cluster_centers_[:,0], km.cluster_centers_[:, 1], color='r', s=500, alpha=0.7, )\n",
"plt.grid(True)\n",
"plt.show()"
]
},
{
"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": "3.6.12"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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