4ma-da/tp/clustering/intro.ipynb

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"source": [
"# Introduction to clustering\n",
"\n",
"## Outline\n",
"\n",
"- What is clustering?\n",
"- Why is it used?\n",
"- How to evaluate it?\n",
"- How to choose a clustering algorithm?\n",
"\n",
"_Question: What do you know about machine learning / data science?_"
]
},
{
"cell_type": "markdown",
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"metadata": {
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"source": [
"## What is clustering?\n",
"\n",
"__Wikipedia__: \"Cluster analysis is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).\"\n",
"\n",
"### Example 1: How would you group objects in the following example?\n",
"<br>\n",
"<center><img src=\"images/example_lego_in.png\" width=\"500px\"/></center>"
]
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"source": [
"## What is clustering?\n",
"\n",
"__Wikipedia__: \"Cluster analysis is the task of grouping a set of objects in such a way that objects in the same group (called a cluster) are more similar (in some sense) to each other than to those in other groups (clusters).\"\n",
"\n",
"### Example 1: Classification based on shape and color features\n",
"<br>\n",
"\n",
"<center><img src=\"images/example_lego_out.png\" width=\"700px\"/></center>"
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"source": [
"## What is clustering?\n",
"\n",
"### Clustering is Unsupervised Classification\n",
"\n",
"A clustering problem is defined by a set of data points on which we don't know the labels, but that we want to group together in a smart way."
]
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"source": [
"## What is clustering?\n",
"\n",
"### Toy data generation\n",
"\n",
"Let's generate an unsupervised dataset in 2D, composed of three natural clusters coming from different multivariate Gaussian distributions."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "07379552",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.datasets import make_blobs, make_moons\n",
"\n",
"plt.rcParams[\"figure.figsize\"] = (8, 8)\n",
"sns.set_theme()\n",
"sns.set_context(\"talk\")\n",
"\n",
"n_points = 100\n",
"data, labels = make_blobs(\n",
" n_samples=n_points, n_features=2, centers=3, cluster_std=1, center_box=[-10, 10]\n",
")\n"
]
},
{
"cell_type": "markdown",
"id": "6a08cb2a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
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},
"source": [
"## What is clustering?\n",
"\n",
"### Clustering problem\n",
"\n",
"A set of unlabeled data points"
]
},
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"cell_type": "code",
"execution_count": 18,
"id": "382785f6",
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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=data[:, 0], y=data[:, 1])\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "44fe3c81",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## What is clustering?\n",
"\n",
"### Objective of clustering\n",
"\n",
"The objective of a clustering algorithm is to retrieve the intrinsic clusters in the unsupervised data. In other words, which data point come from which distribution."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "44f55473",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": 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KAthye98o3Kun4dqyAFXDxEmFg2vLAtyrpzVuYFEQE13699xzD02aNKlybOjQoRx11FE8++yzPPbYY1GKTAgRa0zL4Md1RVz9yk9AxcDDPeXOsONQn8v726bBr/l+Hv58GUs3FtO1eTpnDmjD1Yd35h+fLKH7btMVIxnYIRtTKWreS0/UF8+yd9HKqLyjj0QrA8+ydwl2OKoRI2t8MZHw/5jsATIyMmjfvj0bN26MQkRCiFjld+DDn9fz2Ln9yPS5aJ7h4cYj83h25ipKg9W7ZdvlpOAxDainQXKOafDxok3838dLOLhjDv8+px9lgTBbSgK4LYN/n9OX/JIArbN8rCvwV3u912Vwcp+WhEOJ34UcC4yyrRXP7GujHQz/tsYJKIpiIuFHkp+fz/LlyznxxBP3+RxKQWZmbO9JZe14jhfrce4NaVN8iNc2bSoJ0qdNFv/4ZAkbCsvxWAan9W3N85cM4uY351VLsncc351mGZ56GyC3pTTIuE9/4egezThrQFtueWseBWWhyvLuLdL55xl9ePz8ftz0xjx+322lvuwUF89eNICmqW7MGrYfjiRe36va1Nam4mKTcNiul22WdWpT2DlQrybKQKc0radtnSvOYdZhiMbO8Xumqep0bcOo+LnV9Huwp6EqMZnwtdbcfffdOI7DZZddFu1whBAxoizk8PJ3v/P0jJWVxwJhhzd/WMPsVdt46Kw+nPvMbKAiud5xQg8O7phTb8leKfjx9+0oBVcO68yFz84m8Ic5+r9sLObP//uZf47szXvXHEpRIMSidUXkpLjp2DSVLJ+FUcdBhGL/BbuNxLNsUq11lHYIdh/ZSBFFT0wm/H/96198/vnnjBs3js6dO+/zebSGwsLqXWqxZOc3tViPc29Im+JDPLbJrwwmfr0yYtlv28pYubWUT0cfhgLS3CY+A2x/kPpqomUZFPlDHN2jOZMXbayW7AEyvBbXHtGZoK15cPJSNHBa31a0z/FhhcMUF+39k/t4fK/2pLY2BXc8mrHrYVdBu80ReHN7Y21ZFHHgnkYRzu1FeevDoR6ut/POvrbYv/rqcwCWLFkMwI8//kh+/na8Xh+HHDKkxtc5TsXPpqbfgyZN0mq9y4+5hP/II4/w3HPPcddddzFyZOJ/4xJC1I1pGvy8uoDaVqZ976d1HJbXlBbpHgoL/fX12L6SbTv0b5fN+sJyfvx9e7Vyt2nw+Hn9efSL5fywW/kbc9bQt20m/z2vP9YeFvIR9cwwKTzp5Yjz8JV2COf2ovCklxt18Z277x5T5d/PPfc0AC1atOTttz9ssOvGVML/z3/+w4QJE7jtttsYNWpUtMMRQsQYZw99846u2AxnbymlcLtNtK5YXbCmuzOtIdtnkZ3iIifVXa38hN4t+eKXzVWS/U7z1hQyYcZKbhjWEb0vC/OLfaZTmlJw5ke7Vtrzb8PxNYnKSnsAM2f+0KjX2ylmEv7jjz/Ok08+yejRo7n88sujHY4QIsbYtsOBbbJQquZpeKf1bUmGZ+8+1sKmweaSIO988xulgTAn9W5Jt+bpeLQTcXU+l+Nwcp9W5DVL59OFVWcRnXxgS0a/Ma/Ga735wxouH9oR745/G4YirBThHZfxGMiXgYZimAQ7HJXwU+9qExMJ/7nnnuOxxx5j+PDhHHrooVUW23G73fTs2TN6wQkhYobPVJw3sB2vfr+6WlnLTC9H92i+V+ezLZP/+3gJn+yWuN/5aR0dm6by0iUD8amKQcS70xqscJhuzdM4Z2Bb3pizprLMZRoRV/zbqTzkELQdUiyFrWFTuc1DU5by9a9bcZsVsw2uOrwTaUrXy/NrIXYXEwn/q6++qvzvzv/fqXXr1nz55ZfRCEsIEWMM2+GG4Z1pmeVl4sxVFJSFMA3F0T2acdfxPfDuxXB8yzKYsnRzlWS/06qtpdz9wSL+eeoBGBESr9bgCtuMHt6ZUw9sxTNfr2JzSTmpHpMMr0VReeSkn+I22VBYjp3uYXtZiPMmzsbe0YsQsm1e/X41ny7ayPvXHkqK0rLWvqhXMZHwX3755WiHIISIE2bY5rx+rTjtwFYEwg4u08BrVOz6tzd3xWUO/Hd65BH/ANOXbSGoIc0y0JqIOwdatkPXbC8PnNqTsNZ4XQYXHtKeJ75aEfGcI/u1ZtLP6xnSuSn/+WJ5ZbLfXX5pkP9OX8Gfh3cG6d4X9Sgm1tIXQoi9YYcdPI5DhgE+7aBsp1rX+x4pIq6EB9Aq08uj5/RjU3GA9xZtYubvBQRMA9Nt4vZYuFy7Bnk5jkbZDi5H4wRtLji4HYd1qb7z2sAO2RzXqyUfzFtPbrqHVVtLawzt/bnrCcjdvahnMXGHL4QQjU5D+5wUftttJTyAFhle/n1OP+56bwHLN5dUHnebBmNP64WjNYGQzZHdm+FTGr2jV8EwFOXK4Ikvf+WUA1tx0aEdmLFsC0rBib1bsna7n2te+ZFA2Il4Z7+7gEzdEw1A7vCFEEkp1VRce0T1hb1uOqYLf/9wUZVkDxC0Hf7y7nxaZ/t45IvlHPvvr/m9KIixY4ncgDIY9fz3vPb9Gm57ez5/eXs+GwvL2VhYzts/rmVLcYDiHQP6wo4m0+eqMbYhnZsgm+eK+iYJXwiRlEIhm2F5TTmzf5vKYz6XSatMH4vWF0V8jdbw1pw1nNa3Nf6QzSUvzsGvFJZl8NOaAlZs2dVNv600yJTFm5i8aBNv/bCW3m0y8e14FPC/H9Zw41F5Ea9hKLj9uO64ZMSeqGfSpS+ESFpm2ObWo/K44rCOfDh/PW7LoLg8VOtrftlYzDmDsgAo8of5ZWMx/Vpn8M5P62p93Q+/badHy3R+Wl1Aps/F8Qe0AA3/+XI5Rf6KO/+2OT7+fsoBZPlchBSYSNIX9UcSvhAiqZmOQxOX4orB7VBKsb40xOijumAo+OH37cz8dWuV6XHNM7xVdsdbtbWMg9pk7nmnMkPRu3UWNx/dlS5NUzHDNqf3asGIA1qwvrCcYNhhW2mAx774lblrCjh/UDtuGN4ZU57ni3oiCV8IkfS0hnDYIWAY/Ly2gG9XbMV24PBuuVw/PI+/vr+w8pn+mQe14ZHPl1W+tkuzNJSjOfOgNnz5y+Yar3Fsz+akWQYuNI5dkcRNS/H+nLU8NGVZtfqvfr+aDk1TOKN3y3purUhWkvCFEAIoVwYXPvs9K3ebLvfT6u00S/fw2Hn9uO7Vnxial0t52K7c475Jqpu83FRCIZu+rTPp0iyt2mA/gDP6tybVZWDaTsV+baZBmaPZUBhg4sxVNcb09IxVHH9AC9Ko2JrXskxs25YFeeLYDz98z+TJn7Bw4Xw2b95ERkYmPXocwGWXXUXnzpHHddQXSfhCiKSnLIOnZ6yskux32lwcYMK0FTx/8UDmring7vcXApDhs3jx0kH4lMYBPNrhxUsG8sS0Fbz941oCYYecVDdXHNaR0w9sVdk1r0yDX7aVcckLc3j2ooFVHg/80ZaSAFrBppIgM3/dSkl5mIM75tA01YXbcSTx7wVb28zZ8h1T102mILidLHc2x7QewcDcwZiq8eZEvP/+OxQVFXL22efRvn1H8vPzee21l7jiilE8+uhT9OrVu8GuLQlfCJH0yh1464e1NZZPW7aFe085gLCtueDg9vRrl8VB7bLxonF2rMDnOBqXY3PzEZ24Zlgnwo7GMhQpBti7PYcvB6546UdCtkYpcJmKUA0rBN5zck/em7ueRz5fViW592+XxePn9sMtd/t1sj2Qzx1z/syyoqUYGDg4GBh8teFzumZ0Y9zA8WR7chollj//+S9kZ1e91qBBgznrrFN4/fWXuP/+Bxvs2jItTwiR9Byt8YdqHhynNYTCDiN7NeemwzsxtF0WbtuuTPZV6u5YBTAVjcdxsHdbHtc0DX5eW1h5rWlLtzDigBYRr9mlWRrN0j08PHVZtaT+0+oC/v7hYmxDPsL3xNY2d8z5M8uLKsZJ7HioUvnf5UXLuGPOn7F14wyO/GOyB0hPT6dt27Zs3lzzGJD6IL8tQoikZypFm2xfjeXpHguvZRAK2QSD4Yjr6teFYSjW5O9a2e9/P6xh1CEdaJeTUq3uZYd15OkZNa/1P3XJJsp3W7HPNBVhwyBoGgQNA8OSj3eAOVu+Y1nRUnQNUxw1mmVFS5mzZXYjR7bL9u3bWblyBZ06VV8Iqj7Jb4QQIumlGDD6qC41ll8ypAO+HZ+WpmlgGwYBpVCWucfpeLuzbYceLTMq/11UHuaWt+Zx/+m9+NtJPRmS14SheU3599kHMqRzU5Ztqj4AcCdHQ/GOXfkcw2B5QYDr3vyZoQ9O47hHZ/LkN78TNM3KlQCT1dR1kzH2kOoMDD5fN7mRIqpKa82//nU/WmvOPffCBr2WPMMXQiS9cNjhsM5NuO6IzkyYsbJyrXul4Mz+bThvYFucsE3YNPlxXSETZ65ie1mQfu2yufKwjmS5TJSz57t+x9Hk5aaSm+ZhS0kAgLXb/Vz47Pf0b5fF4E5NOG9QW1IVlDma5hmeamv97y7FbWGYim9XFzD6jXmVx4sDYZ6duYrJizby5pWDcTvJO5e/ILi9svu+Jg4OBcHtjRRRVU888R++/noad955Dx06dGzQa0nCF0IIKlbdGzWoLWcPbMv8tYWEHYe+bbLwmgpzR7K/+8NFfL5k13PWFVtKeW/uOp66oD99W6Sj69DV70PzymWDOP/Z2WwtCVYeX7S+iBuG5+FBEw5rUiyDy4d25K+TFkU8T+/WmfhMhR+4e9LCiHXWbvfz/rx1nNuvNXYtYxQSWZY7u3KgXk0MDLLc2Y0YVYWnnnqCN954hdGjb+WEE05u8OtJwhdCiB0M28EHHNo2A1AVz+ptjWkazN9YVCXZ72Q7mpvf/JnPRg/FXYdr2LYm12Mw6dpDWbqphIXri2iR6aVP60wCYZsgCp+pCIcdjurejM+XbGbasi1VztE0zc0jfzoQN5rVxaHKpXkj+d8Pazm1d0s8e/ejSBjHtB7BVxs+r7WOg8PRrUc0UkQVJk6cwMsvP8+1197IWWed0yjXlIQvhBB/YNsadhvkFQImfvNbjfWLA2FWbSujR44PZw9b3+48v8tQaDQ//JbP1pIgizdUbNjTOsvHy5cOIstSELb5x2kHsHp7OS/O+o2yoM2xPZtzRNdcfDg4jia0h16FQHjfBhgmioG5g+ma0Y3lRcsiDtxTKLpkdGVg7sGNFtNzzz3NCy9M5PLLr+a880Y12nUl4QshxB6EHU1hLQvkAGwvDaKa1DzSf3dKwfaQzeUv/Vhtyt26Aj+XvjiHVy8dhBuNy3bo3zaT3q37UFYWwlKacNhmZwd9q0xvrXP5h3fLxWsqdDg5J+ybymTcwPER5+E7OHTJ6Mq4geMbbfGd119/heeee5pDDz2MAQMOZuHCBZVlbreLrl27N9i1JeELIcQeeE2DgR2yK+/CI+naPH1Hz8CeKdPkuem/1rhozm/bythcEqRtqlVZx2UosG3+2HnvVnDxoR145uvqS/R6XQZXHNYJneR3+dmeHJ4YMpE5W2bz+W4r7R3degQDcw9u1JX2vvlmBgDffvs13377dZWyFi1a8vbbHzbYtSXhCyHEHjhhm4sOac9r36+OeCc9sH02GR4T6jg/P+A4LKnlywPAr1tKaJ+es8c5/8p2uOzQDqS4TSZ+vYrSYMW9f4+W6fxrZB8yTIVTxy8iicxUJoObHcrgZodGNY7HH386ateWhC+EEHWQbhm8eMkgrn99Lvmlu0bXD+6Uw/gzD8TlOHXevd5lKFplevl5bWGNdVpletF1XDfXDNuMGtCGs/q3oSRo4zIVPtPAq9jnRYJE4pGEL4RodBWL1ag6J7SYYDt0y/Hx4XWHsqEwwPayIB2bppJqGRXJfi/aYjiayw/rxKeLNkUsz05x0SEnBacOc/t3csIOHsBj7Vhox3FIzol4oiay0p4QotEos2Lp199LQvyy3Y9fGThm/HwMObaD23bokO6if4s0Mg2w9jLZQ8UCPK0zPFw9rFO1Mq/L4JlRA/Ak9wJ5ogHIHb4QolE4psGPa4sY8978ynnjhoIzD2rDzUd1wQrHz/2o1ux374RpO1x0cDtO6tOSl7/7nc3FQQZ0yOLkPq1IUdRpER8h9oYkfCFEgzMMxfqSINe9/lOVkemOrtiW1msZ3HB4J0iy0eSW49DCazLm6C7YWmMqRThk13ksQKIyDAPbrn0aZLLRWuM4Nqa572k7fvrShBBxK6QU4yNs87rTG3PWUp5cub6S1lQk+bBDOEmXv/0jl8tFOByitLT2mQzJQmuHkpJCbDuE11u3tR4ikTt8IUSDC2v48feaNycJ2g4F/hAtPI03H1rErtTUTEKhEMXF2/H7S1CNOE9+fxk7bqP3YrxlrbR2sO0wWjt4vSn4fKn7fC5J+EKIRpHhc1XOEY/Ea+37h7ppGvg1bPeHWLgyn5aZXjLcJh50nZa6FbFFKUVWVlNKSwsJhUJ7NVsh2qwdv8fBWn7X94Zpmrhcbny+VNxu736dSxK+EKLBpRhw/sHteGjKsojlHZumkuIy9um2yDQVW4I2V738Y5WtZLs1T2fCBf3JNFWdV8ATsUMpRVpaVrTD2GuZmRVd7oWF/ihHUp08wxdCNDg77DCyX2u6NEurVuaxDMaf1YeUffw08qM495nZ1faNX7qpmPMnzsaPzG8TAuQOXwjRSDyOw4uXDGTq4k289v0aykJhhuXlcvlhHUnfsR3s3rIsg+kr8qusfLe79YXlLNtUwoHNU+UuXyQ9SfhCiEbhOBqXY3NKz2Yc3S0XDTt2cXPQ+5iMlWEw/Q97xf/RNyu20b9VOrYtI+BFcpOEL4RoVOGwg3vH/+/vlq0KaJrmqbVO0zR3jdMBhUgm8gxfCBG3QqEwZw9sW2O5UnDcAS0I7cX8dsNQO9b6FyKxSMIXQsQtrSHLbXLFYR0jlt8+ohveOnzKGYYiZBhsDjr8uKGYdWVhgoaBYUjmF4lDuvSFEHHNdBwuO6Q9R3TN5b/TV7B2u5+OTVO57og82mR6MPewJr1pKgptuPLlH1i+uaTyeJtsHxMvPIhcr4Uj69qLBCAJXwgR90zboXuOj4dG9kaZBh7LwC4P1SlR+1GcP/E7tpQEyPS5KAmEsR3N2u1+zn5mNp/cMLRyzIEQ8UwSvhAiITiOxkSTuWMQX2FZ5Kl6uzMMxboCP7eO6EbTNA+F/hDN0j3MX1fIhGkr2FYa5NctxeTlplNUHkIpRbrHxKcq1hYQIp5IwhdCJC2Xy8QyTR778ldWbS2tPD64Uw5PXtCfZRuLWbaplBvemFe5pW9umoe/n3IAB7VOx5Ble0UckUF7QoikVRTWXPz891WSPcB3K/P56Of1mIbi/k+WVCZ7gC0lAa597Sd+zfdjmvIRKuJHzPy2lpaWMnbsWIYOHUqfPn0YOXIkX3zxRbTDEkIkKMtl8NnCjRSVhyOWH5rXlH9/vrzG1//j018olxt8EUdiJuFff/31fPjhh4wePZqnnnqKvLw8rr/+eqZPnx7t0IQQCSikYfrymlfpS3VbbC4O1Fi+aH0R+7lukBCNKiae4U+fPp1vv/2Wxx9/nGOOOQaAwYMHs2bNGh544AEOP/zwKEcohEg0plJkeGv+CDT3MAffNBSGAiTpizgRE3f4U6dOJT09naOOOqrymFKK008/nZUrV/Lrr79GMTohREKyHS46pEONxb9uLubANpk1lh93QHPcsi6PiCMxcYe/fPly8vLyMIyq3z+6desGwLJly8jLy9vr8yq1a2/iWGVZJhD7ce4NaVN8SMQ2wd61q6Pb4oTeLfhkwcZqZRleF/84vTcj//stgT9Mwcv0ubh9RHey9rCOf31JxPcqEdsE0W3XnpaEjomEX1BQQIcOHaodz8zMrCwXQoj6lumx+PspB3BS71ZMmLGCTUXldGuRzk1HdaVjkxS8lsGnow/jP18s5/PFmzBNxSl9WnHV4Z1plirL8Yj4EhMJHyq68PelrDZaQ2Ghf19DahQ7vwXGepx7Q9oUHxKxTbBv7TqkbQZ9z+2HozUuQ2FpTdgfpATIUPDXY7tx2zFdAfAaoMM2RUWN93NLxPcqEdsE0W1XkyZptd7lx0TCz8rKingXX1hYCOy60xdCiIYQDju4dv7D1uzega81YNvs7LzXssCeiFMxMWgvLy+PFStW4DhV/5KWLVsGQNeuXaMRlhBCCJEwYiLhH3PMMRQVFfHll19WOf7+++/TsWPHfRqwJ4QQQohdYqJL//DDD+fggw/mrrvuoqCggDZt2vD+++/z448/8uSTT0Y7PCGEECLuxUTCV0rx5JNP8vDDD/PII49QVFREXl4ejz/+OEceeWS0wxNCCCHintJaJ+w6UY6j2batJNph1CoRR6pKm+JDIrYJErNd0qb4Ee1R+kYtK0TGxDN8IYQQQjQsSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBSfhCCCFEEpCEL4QQQiQBK9oBTJ48mU8//ZQFCxawZcsWmjZtysCBA7nhhhto06ZNtMMTQgghEkLUE/7EiRNp2rQp1113HW3atGHdunX897//ZeTIkbzzzju0bds22iEKIYQQcS/qCX/ChAk0adKkyrEBAwZwzDHH8OqrrzJmzJgoRSaEEEIkjqg/w/9jsgdo27Yt2dnZbNy4MQoRCSGEEIkn6gk/kmXLlpGfn0+XLl2iHYoQQgiREJTWWkc7iN0Fg0HOP/98Vq9ezaeffkpOTs4+n0trTShk12N09c+yTADC4diOc29Im+JDIrYJErNd0qb4Ec12uVwmSqkay+v1Gf7s2bMZNWpUnerOmjWrWjK3bZvbb7+dJUuW8NRTT+1XshdCCCHELvWa8Dt16sS4cePqVDctLa3Kvx3H4Y477mDq1Kk88sgjDBkyZL/j0RoKC/37fZ6GlJnpA2I/zr0hbYoPidgmSMx2SZviRzTb1aRJGrXc4Ndvws/NzWXkyJF7/TrHcbjzzjv56KOPePDBBzn22GPrMywhhBAi6UV9Wp7Wmr/+9a9MmjSJcePGceKJJ0Y7JCGEECLhRD3hjx07lnfeeYc//elPdOjQgXnz5lWWpaWlkZeXF73ghBBCiAQR9YT/1VdfAfDWW2/x1ltvVSkbNGgQL7/8cjTCEkIIIRJK1BP+l19+Ge0QhBBCiIQXkwvvCCGEEKJ+ScIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkoAkfCGEECIJSMIXQgghkkDMJfwxY8bQrVs3rr322miHIoQQQiSMmEr433zzDZMnTyYtLS3aoQghhBAJJWYSfmlpKXfffTc33HADmZmZ0Q5HCCGESCgxk/AffvhhMjMzueiii6IdihBCCJFwrGgHAPDTTz/x5ptv8sYbb2CaZr2dVynIzPTV2/kagmVVtDfW49wb0qb4kIhtgsRsl7QpfkSzXUrVXh71O/xgMMhdd93F+eefT69evaIdjhBCCJGQ6vUOf/bs2YwaNapOdWfNmkVOTg6PP/44gUCA0aNH12coAGgNhYX+ej9vfdr5LTDW49wb0qb4kIhtgsRsl7QpfkSzXU2apNV6l1+vCb9Tp06MGzeuTnXT0tJYsWIFzz77LA888ADhcJiioiIAHMep/LfX68XtdtdnmEIIIUTSqdeEn5uby8iRI+tcf9WqVYTDYW699dZqZRs2bGDgwIHce++9nHvuufUZphBCCJF0ojpor3///rz00kvVjt9yyy20a9eOm266iQ4dOjR+YEIIIUSCiWrCz8nJ4eCDD6523OPxkJ2dHbFMCCGEEHsv6qP0hRBCCNHwYmIe/h99+eWX0Q5BCCGESChyhy+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkAUn4QgghRBKQhC+EEEIkASvaAYiG57NsvLoYFfajLS8BlYrfdqN1tCMTQgjRWCThJzClIMsqwZz5EGreKxAuB8PE7H4y3mPGUuBk4ziS9YUQIhlIl34CSzdKMD+4GvXDxIpkD+DYqMXvY75yKhlGYXQDFEII0Wgk4ScopcDyb0atnBa5wrYVmBvmYpryKyCEEMlAPu0TlGWZqOVTaq1jLHgTl2E3UkRCCCGiSRJ+IrNctRZr01XRFSCEECLhScJPUKGQje5yfK11nH4XEQxLwhdCiGQgCT+BBV1Z6APPi1im2x6CndNVRukLIUSSkISfwErsFELD78U57kHIaFVx0JeNM+x27DOep8hOi26AQgghGo3Mw09whaEUXN3PJ6XriRjaRiuDMpVJMBTtyIQQQjQmSfhJIBRyKCQj2mEIIYSIIunSF0IIIZKAJHwhhBAiCUjCF0IIIZKAJPwkZhgyB18IIZKFDNpLMkop0oxSXHYRbFsNKTk4Kc0oIZOwLXPyhRAiUUnCTyJKKbLMQsxJV6N+m1F53MxoReaZL1Kc1o2gLZ0+QgiRiGLm033y5Mmce+659OvXj379+nHaaafx+eefRzushJJuFGO+c3GVZA9A0XqMl08hTW+PTmBCCCEaXEzc4T/xxBNMmDCBiy66iBtvvJFwOMyyZcsoLy+PdmgJQymwAttQa7+PXCHkR819Cc+AmwiE5Nm+EEIkmqgn/Pnz5/P4448zfvx4TjjhhMrjhx12WBSjSjyGYaA2/Fx7nd+mY/W7igApjRSVEEKIxhL1Lv3XXnuNli1bVkn2ov5prcGXU3slbxbaiPp3QCGEEA1Aaa2jOjT7qKOOokePHgwYMIAXX3yRjRs30qpVK8477zwuvfRS1H7s1661JhSy6zHa+mdZJgDhcMPHafk3YTx+EIT8Ecv1Be8Rajds/6/TiG1qLNKm+JGI7ZI2xY9otsvlMmvNmVG/ndu8eTMFBQXMnz+fm2++mRYtWjB16lT+9a9/UVRUxM033xztEBOG7c5Cnfok6p1L4Q/f83S3E9DNe0UpMiGEEA2tXu/wZ8+ezahRo+pUd9asWeTk5NCrVy9CoRBvvvkmffv2rSy/8cYbmTZtGrNmzSI1NXWf4nEczbZtJfv02saSmekDoLAw8l13ffOZQXyB9RhfP4TaMA9Sm2IfciN2q4MpDO/bz/mPGrtNjUHaFD8SsV3SpvgRzXY1aZJW64Jq9XqH36lTJ8aNG1enumlpFXuxZ2Vl4ff7qyR7gGHDhjF58mRWrFhBnz596jPMpOa33ZS7OuI7+mEsXY6jLMpVGuGwE+3QhBBCNKB6Tfi5ubmMHDlyr17TtWtXfv65+ujxnR0P+/MMX0SmtabMdgPuHUck2QshRKKL+ij9Y445hpKSEn788ccqx2fMmEFKSgpdunSJUmRCCCFE4oj6oL0zzjiDN954g9GjRzN69GhatmzJlClTmDJlCrfeeiterzfaIQohhBBxL+oJ3+128/zzzzN+/HjGjx9PSUkJHTp0YOzYsZx11lnRDk8IIYRICFGfh9+QZJR+dEib4kMitgkSs13SpvgRy6P0o/4MXwghhBANTxK+EEIIkQSi/gxfxC+lIMUM4HFKIVSKdqUSNFIBX7RDE0II8QeS8MU+MQxFlrEd47PbUcs+A+2AMjC7nwTHPUDI1zzaIQohhNiNJHyxTzKMIsxXR8LWZbsOage15APIX4F1/nsg2+wKIUTMkGf4Yq+ZpsLYurhqst/dpkWo/F9rHS0qhBCicUnCjzFKEfOJ0rJMjEXv1V5pyQeV20QKIYSIPunSjxGWCWkUYZSsg7JtkNOJkJVJiZNGTC6V4NrDwDyXD4jBuIUQIklJwo8BygmSWbQQ438XQumWyuNGu0Nxnf4M2+0stNYYhsKrAhg6iG34KLfNP25r3yiCQRvnwPMx5zxTc6XeZxEK2Y0XlBBCiFpJl34MsMo2Y7xyapVkD6BWf4vxzsWkG8WkW2VkFc4l5dOr8f3vLFKn3UF2eA0+M1inaxiGIs30k21sJ9vIJ90sxTT37e3XWhNOaYnucUrk8t5n4aQ2j8qXESGEEJHJHX6UGToMP0yEcCBiuVo7B5f2w7ePY/zw7K7jGxdgzn+dlJHP4bQeTsCu+a10mzZpgbUYk+9A/TYDAKtVf9wjHqA0PY9y213ja2tSZKeSOeJBrA7DML79DxSugaz2OENvhu4nYbuzwJ9YS2YKIUQ8k4QfZSpYgvrtm5orpDVDFa9H7ZbsK2mNMelqUq/7kQBZEV9uGIq04DrMZ4+s+qVi/U8YL4wg9cIPCGcfRDjsVI9NgdcM49FlAITwUOZ4K8cUFIZScXU9l5QuJ2AojaMVZSqLFLenzu0XQohYZZoGhqFwHI1tV/+MjDeS8KNMmy7wZddcoduJ8OMLNZeHA7BmNu72J+Kz8zGcIBgmAVLxOx58yo8x9a+RexC0xvj0VlLOnUSxSsNtKQwdJowL7Thk6K0Y0x9ELXoPnBBW3jF4hv+NEndLgnbFCPxQWFNIxm4njf8/CiFEclOmQ8AqY96WufxWtIouWV3p1aQXnnAaThwPTZKEH2WOlYo+5HrUii8iV0jJQW1fVes5VMkm0rd9j/HRTZC/EgwTs9tJeI+6F234UCu/qvnFW5fjIkh2YAXGN8+hSjfhdDwc1e141Gd/geWTd11n6SeYv04l7eLPKEztkRDfeIUQYnfK0qz0L+X6r67HH971WDLdlc5TRz9FK6tD3CZ9GbQXA3TzXujuJ1cvUAZO3gicdkNqfb1q3hPj3csrkj2AY6OWTMJ8/hhMHQSjlu91xz2Amv0k5jOHo+a+CMs+q3jWP2EoHHwltOpftb4dwvz4JlIp2stWCiFE7Cs3i7nmi2uqJHuA4lAxV3x+BeVWcZQi23+S8GNA2JNDaMRDOGe/Bu0OgaZd0H3Oxr7qG0rT89C9/1TzvPcmeahAEZRsrl5WuhV+fBF92K2RX5vVDjJaoWZPqF4WLIFJ18Nht1Qv27gAyy6rewOFECIOuFwmX6z+gqATefZTaaiUuVvmYlnxmTrjM+oEVBhOpaD5EZSd9hLl535A6fAH2G61pdx2U6yycS78AFKbVn1Rs57oc9+AKXfXeF618G04YGTku/xeZ6B/fLHmoIo3VPw30hgDJ1yHVgkhRPxQSrNw24Ja6yzetgjDiM/UKc/wY4htO5Tu3Fp2t8fjIdugMK07aZdNxyhcXZGIm+Zhe3MxyzZhFvxe80m1Q9j0YVz8Geant8KGeRXHm3ZBH3AGatnkml8LULyxIuH7t+86lt4Cx5UGcfocSwghIlN0yOhQa432GR1wnPhcZEQSfpwI24oCMlHpfTAy++A4Gm1Ddopd0d0fijzn3el5Kn4jk3BaDilnvYnLKQOtsU0fYTMFX7MDUJsX13zh7PbVFgRyht9Nmcok0tK5breJoW10beMGhBAiBgWDNid1PJmn5j+FjvD5ZhkWQ1oNIRyIz7ud+OyXSGJaa2xbV65i51dpOMP+ErmyNws98EoCIYVtOxTbqeTrXPJpRqGdTlnIwjl0dM0Xa9YDAiUQ2DFIJSUH56T/EOh4LMFw1T+GFLOcHGc96d/dj/XBVVg/PUuOWYDLjM9vwkKI5OTT6fzfoWNRVN3EzFQm44c9jMdOjVJk+0/pmNyZpX44jmbbtpJoh1GrzMyKLvzCwn1flS7dKsO94jOM6eMquvuVQnc6EmfEAxRZrQjbNb/FKWYA32+fYnw0mipzTbLa41z4PmEzBTNQCNrBcadTpjIIhqv+IaSa5XgXvYzxxd+rntydij3qI4pSuhCOzy/ElerjfYo1idgmSMx2SZsal7ZClKoi3vv1PX4rWkW37G6c3OkUfE46hGvfBTSa7WrSJK3W3VYl4UdZff1yuFwGqU4ByvaD4SKoUvBrX52eNXnNECmUoFZOg5JN6HYH42R1pphM7Fq+LAAopcgOrMB8ZljkCilNCF0+gyKdhdbE5s5/dRDLH077KhHbBInZLmlTdLjcBjZhTO2q82ZgsZzw5UFrggiFHArIADJ2G/BXt+RabrsoJxur8xkoVdH979i6Tq/3WmGM6Y/XXKFsG9b25WShQJno7I6U6rTKlfqEECJWhYIOYOAkyAhlSfiNzDQNLMtAa90o28cqpUgx/Lh1KSocQLtS8Kt0yiN0S0VaT39PDCeIKvit9hg2zMNc+C5snA+edNJP/DdlbY7Ab8ua+0II0Vgk4TcS01SkqyLMTT+jln2GTslB9z4bgs2w3Rl7PsE+XjNTb8P49DbUr1NAa3D5SO03Cu+hN1MQStvva9jKg87tgVrzfc2VsjtCycaK/w8UY7x7Gb7LviCQ0j1up7cIIUS8kVH6jcAwFJl6C64XjsV44xzUTy9gzHwY878HY3z9L8xgQYNcN0MVYr50Imr5ZCqH9Yf8GN8/hfXJzaSbpft9jYBt4Ay6pmJrvYhBtAbDrLYSoPHVWHxKVusTQojGIgm/EaSqEsx3L63YM/4P1Oz/Yqz/CdOs37fCsgyMVdMiXhNALfsUV3A7qVaAHCOfnPJl5Oj1ZJrFexWL1uB3N8M55b+g/vC61Fw4fQJ89Y/q11/3Ay4iL18phBCi/kmXfiNw2cWw7qcay9WMf+Eb+SolpNTbNd0EMBa/U2sd47fp+Eq3oGY+DLri+b3ZtAuZI5+n2NuBug4x8NtudPtjSbl+HurXKaiitdBmIMrlhcl3QqSFfXzZaGoeTSqEEKJ+ScJvYEoBJVtrr7T9N0wdqtfrahQYrtor2SHUii8rkn1GK+hzNqQ1x/zlA9L7XUw+dR9bUG67KScHq+v5pKV5MAP5qOdHwLYVEes7Ay7HX8NqfUIIIeqfdOk3MK2pvunNH2V3wFZ7SM57KajdOP0vrrmCUqjW/WDTAjj6Xjj+X7BpEfzwLGyYh5G/jAzX3s8jDYftitUAPdnYp0+MvMtfi944vc6qtlqfEEKIhiN3+I0gZKZjtu5fY7e+HnY7ftKosmPOfrJtB7v5gahW/VHrq19XD7yiYqGdQ2+s2BjnzQt2FW5djlo+Bffwv5LS+2LKbO9eX19rKE7pTPrVs1DfT8BY8QW4UnEGXIbT6WgKwhnI3b0QQjQeucNvBKU6Dfv05yCzbbUyffDVOK36Y9v1l+x3KrQzsP/0Gs5ht4I3q+JgdgecU56AAZfCd09CpyPgm/9EfL36aixeu2Cfrx+yDfKdppQMvpPycz/Af+YbFHY6k+3h9LhdcU8IIeKV3OE3AsfRFJq5pF88GXPTfNSyT9EpTSrm4afmYrszwV//yzBqrdkeSsNz0Gh8/S5BoXEwKFNZpOt8zE7DYfmUWs+hFr6Nu/9ogsF9XyQoEDYIkF7xDycxVqwSQoh4Iwm/kdi2poAMzGbDsFodgdaaYNAm0x3hGXc9C4QUATJ3O+JQZqaSOugqjPlv1PpaVbwJVdMceyGEEHFDuvQbmW07BALh/bpjrg/ltotAk17oTsNrred0Hr5PS+4KIYSILZLwk1hJ0IXd9tCKBXIiSc1FtxrQIOMLhBBCNC5J+EmuSGdiX/Qx5HSqWpDTCfuiTyjSWVGJSwgh6ptpGoTcZRRbWykwNxHylGDW74zomCbP8JOcbWsKrTakXfAxpn8zFK6FzDbYvmaUkCl390KIxGA5/B5cwT3T/8aqolUAZLgzuKL3FRzf7kSMwN5PP443kvCjwDAqBsHFyk5xtu1QSDrKk45qnofWGm1DXdcFsCyDVF2AafsBhSpPw/Y1aciQhRCizpRSbNdbuHTKJYSdcOXxomAR438cj61tTmt7Fk4osQcox0TC/+6775gwYQK//PILwWCQdu3acfbZZ3P22WdjGInz1MFnBvBRChsXVBxo3hsdzsKxUut8DsNQWJYJaEIhm/qczq41ez0/PsUsx7dxDsaUO2D7bxUHm/dCnfgwnrSuBOyY+BUTQiQx7Qry5E9PVEn2u3t6/tMc1/4E3Oz/luGxLOqfxrNmzeLSSy9lwIABjB07Fp/Px5QpU7j33nvZvHkzo0ePjnaI9SLDKsM15wmM7x7fNRfdMNEHX4sx5CbAU+vrlVJkmMWYBaswlkxCu7zoA84g5G1GsV33Lwz1yWUZ+DZ+j/HmeVULNi1EvXA8aZd9QcjbJWZ6MoQQySlEgG/Xf1tjeVm4jOJQIU0k4TesSZMmYVkWTz31FCkpFbvFDRkyhOXLlzNp0qSESPhuS+Fa9iHGt39Y0c6xUbMeg6y2uLueX+Pa8kpBllWE+ea5qA3zKo4BfPNvjB6nYoz4F4Whxk/6KboAY/KYyIWOjZp6NymnPEcJDb/WgBBC1EiB23RTFi6rsYphmPW5unlMinp/uWVZuFwuvN6qAybS09NxuRJj+GSKLsSY+WCN5errh0jRBTWW+8wQ5pf3Vib7Kq9dMglrybu4XI3/VprhUihYXWO5+u1rXAQaMSIhhKjOMkyObX9sjeXNU5rjNT2E3WVYVtTTYoOJ+h3+2WefzQcffMDYsWO56qqr8Pl8TJ48mZkzZ3Lvvffu17mVgszM6N9dmiVboXhjzRVKNmMSqjFWq6wAtbDmve2Nbx8lo+fphDNrmE9fDwwngBEoAjTacGN7sjCKzNpfpAwM0yAzLfrvwf6qGDcRG79P9SUR2wSJ2S5p0/4pCPk5pfMpfLnmS7b6q25XrlDc1P8m7vn2HjaWbeSBoQ/QJbMr1j7uYBrN92pPi6JGPeH37t2bl19+mRtuuIFXX30VqLjrv+uuuzjrrLOiHF0Fw/ZjBEsAsL05aLWHRFftBC4wLKhhwAiGVeve9SpUVvNrAYo3sGNYfYNwlW2Eb/6NmvcqhMqgdX+Mo+9D53RGNe0KW5dFfJ3OO2avBiQKIURDSLMymLf5U8YfPp73fn2Pyb9NpjxczoAWA7jkgEv4YvUX/LDpBwAunXwp7536Hi28raIcdf2r14Q/e/ZsRo0aVae6s2bNIicnhyVLlnDdddfRr18/zjzzTNxuN1999RVjx47Fsiz+9Kc/7XM8WkNh4b5vSuM2bdLCmzC+fhC14guwfND3fHS/iyjUWdh23QajpVgppPQ8DbXw7chx9jgFv/ZRVkOs2aYXyzBr3ngmrRlhR+1XW2uSYxWiXhhRMT9/p3U/oV48CX36MzhnPIfx9DDQf3j45fLhHP1/FJZbOGX1H1dj2/ltvSF+xtGSiG2CxGyXtGn/Hd3uGC6fehmDWw7mrZPeYl3JOpbkL2Hsd2NZX7q+sl7QCfLCwhe4tudodGjvu/ej+V41aZJW612+0vW4T+mWLVv4+uuv61T3pJNOwu12c/bZZxMKhXjnnXeqbNJyxx138NlnnzFr1qxqz/frynE027aV7NNrLcsgs3ghxosngR2sWpjZFvviz8gPZ0Z8rWEofMqPqQM4yqJcpZOht2G+eHzVxAmQ0Rp9yWdss7NrnGKXYgVJ+fw21KLI3frOMf9Hcc9Laxz0t6/cFqTPexJj+j8iV/BmYV81E4o3Yk69E9Z8D0qhOx8Nx46l0GpJyE6M52HygRs/ErFd0qb9ZxiKMquAV395hV5Ne3HHzDtqrNsmrQ0Tj3oe9z4Mho52wt+5zksk9XqHn5uby8iRI/fqNYsXL+bUU0+ttiNbr169ePfdd1m3bh2dO3euzzDrJFUXYky6tnqyByhcg/p+Ap6Dbyfwh4UaUk0/3sLlqBn/RG1dChmt8Bx6M+HWB6MvnoLxy4cYC98EDU7vP6EOOJWQtxm6ll8Ov+3Gc/R9WFuWwObFVcp0lxHYB/yJYGj/k73HpfHYRSggaKTicsow5r9W8wvKC6BkM4VpPUg74xUsp6IN2p2G7c4i1AC/8G6XwucUohTY2qSMdFkNUAixR46j8YUyuaLb1awOrKq1boorBUXiLcIT9Wf4zZo1Y+HChTiOU2WRnblz52IYBrm5DTcQrTZmuAS2/VpjuTHvFXwDryFARuUxnxnAu+RNjKl/3VWxeCPG/y7E1ftsAsPvo7zHhXi6ngZAwEwnxVv7/HvY8WjCySLj3Hcwti3FWPg2WF6cA88jnNaaov2ckmeaBplqO+rH5yu2y7WDuLqMQA+9JfIXnt0oO0SmKkLNexVjwevg2OjuJ2EMugrLzCZcT0MLlFJkWcUY81/HmPMUlG7B1aIP7iPuItD0QErsxBnMJIRoGFqDDpk097Ugw51BUbCINult8Jk+1pWsq5y2d1aXP+HTaYQTbJ5e1BP+qFGj+Mc//sH111/PmWeeicvl4ssvv+TDDz/krLPOIiMjY88naQh2qPbyQHG1Qz5dgvH53yJWVwvexDXoSkp83QnpHQnaqfsvk+NoCpx0jOyBuI4cDEAwaKProRs/k3zM546pGPy3M965L6NcXnTesaifXoj8QsuDymyJ8fxRULTrGZia9TjMfZmMS6ZQYLWpl4V3Ms1izLfOQ63/adfB9XMxXjsTz7H3Y3c/D7+dGNM4hRANy22n8tjwxwjrMGuK11ASKqFLdhfWFa/jo5UfcUSbIwiXJ1ayhxhI+BdddBG5ubm89NJL3HHHHYRCIdq1a8fdd9/N2WefHbW4tCcD3KkQLI1c3n4IIXYlGMsyUMs+rz54bTfGDxPxHPkg5bXfNNfKcTSBQC0j9veS17JRMx+ukuwrzXsNNWoSLHirYnT+H+jB18Gqr6sk+0rlhRif3ELKqS/s98I7lmVgrJtdNdnvxvjiXnzdT8FP9n5dRwgRmVKAZROgHBMLt+OL60dptgqzoXQD9866l3K7vPJ4v9x+/HPYP3EHU7FJvBVCo57wAU444QROOOGEaIdRRZnKIO2QGzGmj6teqBTOkffg1ymw45dCKQXl22s9p/JvRzk2sJfT+hqQV5dizH89cmGwFL4ci77kU9SHN8KGn3e8KBPnkBvhwHMxnjioxnOr37/BrctgPxO+R5dh/vhszRXsEGyYi9nyqDrPnBBC1JEVpkDn8/yC55i/dT5ZnixG9byI3jl9MAPx9yhNKcW28CbGzKy+SujcLXO599t7+fugsZh24u2eFxMJPxYFwgaefpfgsoMY3z0B4R3fAtOa4Zz0KP7UDji7JRfbdtDtD6v1nE7esYSVG2i4OfN7S6EhVMvgupXTcNwZhM56E5ddBk4Q7UqnTGWQYhdg1PZaqBgDsN9jX5zaY4Qd5QoS8Fu5ENGiTIeFxfO5adpo7N3W+pg3fR6Htzmcvw74G2YwvpK+dgV56scJNZZ/u+FbyikjFUn4SaUolILvoBvw9r8EVbYFTDeON5tSMgn94dm542jszHaYud1hyy/VT+bLRncZQSgUO8keIIyF1WYArP0hcgVvFtpwU2ynAWkVizHvaILHtLBqai9ASg6OlbLf329CKhWn24kYa+fUXKnVQXHdxShELHI8QVQpPHHUE2z1b+XtZW8zb8s8AKavnc6ZXZbQJ21AXP3tBXWAJflLaq2zoXQDXTxN9nr30FiXGJOkG5A/bLHdziLf04V8qz0F4YxqyX6nYicD+9y3od3gqgVNu2Jf/ClFOqvhA95LZaTjHPX3GsudobdQZkQeOFmmMnGOvLeW1/6ZMhV5rYK9EQxrdK8zwRfhGb1S6B6nErT2/zpCiApKKWxvGS8veYkxX4/h6s+v5un5T3NipxP52+C/VU5Ze3nJS4SM8j2cLbYYmGR7ax/vk+nJTLhkD5Lw65XjaLY72ZSf9hL2dT9ij/oY++rvCJw3iUJXO8Ix+HzZth38md1xzngeUnJ2Fbh8OMPGEDrgnGprDewUDjuUNz8I54SHKwY47mS60YfdSqjHWQTraXxhkc7GvmQytOpfcaBZDzjtv+jLpsKQ0bi1n1RTNuoRoj6E3KVc99W1vLDoBUpCFYuXrS5ezf2z72dV0Sou6HkBAIWBQhzqbxBxQzJNg7Dbj2EpLup5UY31WqS2IMuVmAOApUu/nmmtKbZTgBRURvOK1fNsiOV9F8tsD+E2R5Ny+dcY5dvADqHTmuMnnfJw7QMMS20f4S5nktJlBKpwLTghjCYdsd2ZFO3bIocRhW1Ngdma1DNfx6WCGP581LuXo7YuB8BUBr6ep+M+5n4Kwmk1rloohKidZRnM2fITy7ZH3iPj1SWv8tyI53h1yasc1Pwg3Phi+NOtgnYF+aV0GY/89DC/5P/CI0c8wtBWQ5m5fmaVej7Lx/hhD+O102SUvtg78ZR0gmFFkExwZYIL9uZLeyBsECATlVbRrZ7h2zmIp35X2nMcTTGp5JgB1AsnQnC3bxTaQS16BzNYTNrxj+/40iWE2FshFeDdX2vendPRDr/k/0JeVh7ndjsXp4YewJ1MF/hVCX67DMuw8Cof7kb8+zQszTdbv+Wub+6sPHbnzDu555B7OLHTiXy08iOKg8Uc3HIwp3c+nRQnE7uelymPFZLwRb354xecVNOPmyBaKQL4KLdd+/0lyG2BmvtK1WS/G7V8Cq5jCkFJwhdiX2gcQk7tC4/Zjs29g+8lVdfe9e14yvl49cc8s+AZioJFAPRs0pN7B/8dn+6Iubc7j+6DgFnKP+c8UOWYP+xnzNdjaJ/Rnj8fdCs9sw7Asr04wVjui91/8gxf1DvD9uPaugjfh5djPdYL1xP9SJ12J9lqK5a5f3P03E4pxq+f115p43xMU361hdgXbu3l2PbH1lrnsDaH0crqAOGa/86Uy+btFf9j/I/jK5M9wOJti7lo8ii2BjbXV8i1yg/kV7n+7n4v+p1x3/8D27Fr3YE8UcinoqhXlmVgbvwZNXE4atX0itv+cAD18+uYE4eTobfUun3jnmhlgnsPd+/utIQcYStEYwiHNcPbHEVTX9OI5cd1OI4U0mvcrXungFHG84uei1jmD/t5btFzBJ2GH2hr7yHQsBNGJ+Dz+kgk4Yt6laoLUR/eQMRPA/92jK8fxGvuYZ+CWpSTgj3wyporWF50swPqZf1+IZKVN5zOCyNe5NCWh1ZOwfNZPi7qeTG39r8dI7jnTb+2+rcSsGtO6NPWTKM0HHnp8vrU1NcUr1nzIjpHtDkCD8nxCFCe4Yt6ZYZLIH9ljeVq4dt4ht2Fn33b6Ma2HexWgzDaHYJaPatauXP8Q/hJ26dzCyEq2LZDms7hvkH3E1TlBOwAPtOHV6filNftPtEyan8+7zJc+9XbV1duJ4VLe13Kkz8/Wa3MZ/m46ICL0cHkuPdNjlaKxlPL5kEA2KGK5Xz3Q5GdRnjk8zjHPwRNOlesBtjxcJxLJuPveBzltnyPFWJ/OY7GCHnwBjPJtJvhDqbjhOqeMrI9OWS4a97t9JTOp5DeGAtmhUxGdjqT2wbcTpYnq/Jw76a9eWnEy6TZiTnnPhL5ZBT1ynGlYabkQFl+xHLd6QiC7Lk7sDZaQ0EoDVfX8/DlnYhSDmHc+HVKlf0NhBDR47FTuXPQXYyZ+ZdqZc1SmnFmlzMbZZQ+gBHwclLr0ziqzdGU22VYhgs3Pty2L6k+M+QOX9SrMpWJPvLuyIWGiT7qXvy6fjbbCIUdipx0Cu1MSm2fPLcXIoY4YcWAJgcz8ZhnOaDJAQB4TA9ndjmTl0a8TI478qDAhmKHwB1MI8NuRkooGyvkTbrPDLnDjyNKgctlAopw2I7JX9ZgGJzup2IoE/XF36FsW0VBk844Jz1KqadtTMYthKh/RshNF+8BPDL0URwjjELhdlIgaJCAm9HFPEn4cSLN9OMO5WPMfxsCxdD1eHSTPIrIibkd+Gx3Jk6vc6Dj0RihIlAmtpVGqcokHE7kZS2EEH9k2w6WvatXT77uR48k/DiQ4SrDPeMfqJ9e2HVw9gRUbncyz3mNUisbfzjyqHelVFTmpGtlUmhnwM6d9mJ8PwEhRGxRCgzDwHG0rKtRT+QZfoyzLAPX7zOqJvudtvyC+vR2UgIbsKxdb6VlKjLNInKCK8ku+IEcNpFulqEaYw6MEELsB9NUhN1lbNC/M2v7dH4PLyPkLsHYz1U6hdzhx7wUpxBj5kM1V1jxBcbhfyHFXUQRabhMTYZ/Bcb/LoSC1ZXVjA6H4Tp1AtvtLPm2LISISaZpUGhs4fovrmN18a7PrybeJjx+5BO0MtthN/ITTKVAW2HKVRnlth+v6cWtfZhhT9x9lsodfowzlK51IRu0hkAxll0GQDrbMV48oUqyB1C/fY3xvwtIN4obMlwhhNhnAauYK6ZeXiXZA2wr38ZlUy7FbzXu55dSipCnlPHz/8kpk05i5Ienc+L7J/B/P95LubsQw4ivXgdJ+DHO0Qqy2tVeyeUFpXC7FGr+WxCMvFylWj8Xy7+pUVa3EkKIvWEYihVFK9hUtilieVm4jK/WfrVjplLjCLnL+POMW/h41ceEdcXuOhrN9LXTuOrzKwm6Iu/aGask4ce4MiMLPeSmmit0PBy2Lids+HA5foxVX9V6PrX+p5jYSW7nFMPG/OMVQjQu0zSw3eWUuwspdxfhuAM13hWbpsG8zXNrPd+cTd+D6RB2+Qm5Swm5y/brM8RyKULuEgLuYkLuUizXrs9G0zTYVL6eBVsXRHzt6uLVLNm+JCY+T+tKnuHHuHDYJtTpWFy9zkAtfKdqYXZHOGIM2nBhmgqLMNqbRW038Nqbvd970u+vdLMUVzAf9ctUQKG7HEvIlU2xnRwbWAiRFKwwa4Kr+eesf1YmzQHNB3DbgNtpZrWqVl1rTW5Ks1pPmevLZU35b/zfd/exqnAVLVJbcPEBlzC0xWEYgbpP7FcKbI+fN1e8y6u/vEpBoIDmKc255IBLObrNMZhBL463nKmLptZ6nk9++5j+fQc2+riCfSUJPw4UhlLIPPofuA65DjX3ZQiWQcdhkNUebXlQv3yM9fV4aN4bfeRdsPTjyCcy3dB6ALYdvelxWa5SrM/+jPrlo10HP78bo9cZmEf/g4JQatRiE0LUD9M0WBVYxaVTLsHZbX+NHzb9wPmfnsdrx79OBnlVXhMOOwxpOQRTmdg6cgY9qdNJXDn1CkpCFV3pvxX9xr2z7uHItkcx5qA7sYJ1W8Uz5PZz1zdjmLNpTuWxTWWbeGDOOBZuXcjN/W7mveXv4jJq3+TLY1Y8To2X1QXipy8iyRWGUtnu60bwiHuxj7kfu+MRaMNCvXcVfD2+otKmBaiybdDthIjncE76N2VEL6F6LAfzh2eqJvsd1MJ3MOe/hlu+ggoR9wJmCf/4/v4qyX6nsBPmwR/+RaldfQCe20nhnsH3RDznZb0uY/aG2ZXJfndfrvmCTeXr6zSIzjAU60rXVEn2u/to1Yf4dRkvLHqBwS0H13quM/LOwA7FR7IHSfhxxbY1hX6T/HIvaI166RTYurxqpY//DL3OQI98BlofBFnt0N1OwL58Gv72Iyi3921b2vrg00UYc56usdz47nFSdGEjRiSEaAhBHWDZ9mU1ls/ZNAe/7a92XIUthjQ7nLdPeoeTO51Cj5weHNnuKF4+7mVO6nQSfZv1ZcLRE5hw9AROyzsNS+26Q/jf8v9hWntO+JalePfXd2qtUxQooiRUwuJtizmx44kR6wxpNYRWvtZxtVS43E/FIcNQsHkx2MHqheFyeOcyVJ9zCJ/5ErYDYcOL3/aio7wrlLIDECiquULZNpQTaryAhBANQtehi7umsUQq5KKJasktvW8jqAN4TA/llHLf7PuYtX4WGo3P8nF63uk8PPxhbp12K0EnSGmoFKcOq3lqILSHzxnTsPCaXh6b+xj3H3Y/3Zt0581f3mRtydqKnf66nsnpnU/H9NfPRmCNRRJ+vAoHai/fvJiQY1LipO1Y0TYGvoWanopxBJG+qAC4UtCGa8cyvPvP49J4nSIUEMKDX8uOekI0Bo/y0jGzI6sKV0UsPzD3QHxmzYPstAZCJi5SCJqlXPjZhWzxb6ks94f9vPbLa2z1b+XqA6/m0bmPcnTbo1GOwZ6W8HZsOKHjiXz222c11vGaXkZ2OYPXfnmVv8z4CwOaD+DqA68mNyWXwkAhbsODJ5xOOM6WC5cu/TjkOBqa96K2CfVOt5MIGmmNGNWelas0dO+zaix3+o2iXKXv93UMQ5FtFZH2439wPzcc138H4Pv4KrL9y/GZNXzZEELUG6+Txh0D74xYZiqT2wfcTpqVscfzWJbBV2u/rJLsdzfl9yn0bdaXNmlt6N9sQJ0257Jth+5ZPeiY0TFief9mB5GiUrmk56UMaTUEqBhs+Ndv/spVU6/i23Wz6JXdm3AovpI9yB1+3AoY6fh6n42a/0b1Ql82+sDzCIYbP67alNsW3sPvwlr3I2z5pUqZbtEH59DRlIf2/ztoplmI9dJJVVYoVCu+QK38kpSzXyfcfCihGPvZCJFIwmGHzildefroZ3hgzjhWFlb8LXbP6c6dA++khattnc4TUH4m/z651jq/F/3O8yNewHZsylzbcSk3Pie91uTvDqUy4ainGP/TQ3yx+gtsbeM23Jzc6WSu7nMtVqCiq/7eQfdRGN7O1+tm4jIsDms9jBSVjhHw1PEnEVuUjrfFgPeC42i2bYvtlZAyMyt+sQoLqw9g2ZMsVynm7McwfngWQjte32Yg9slPUORqTThKz+xra5NhKDKMIsyN8zB+fhWUgdP3QuxmvSi0M/Z7bWq3S5H+81MYX90XuUJqLqHLplFgZ+7VeffnfYpVidgmSMx2xWubLMug3CghoMtRKNzKi8dOxbadOrXJcQW5Y/ZtzNkYeUR9t+xujDtsHI/PfZxpa6fhaIeWqS257sDrGdzsUIxgzYlZKdCuEAH8lNvleE0fXp2CDpnV6llWxbE9bUXucpmkpLpRKAoKymqt2xCaNEmrdaaCJPwo298/ZK9l49NFqGApWB5CRgqlOi2qz6rr0ibTNHAZYUARcsx6WxsgwyjC88oJsP23GuvYV84g39Vpr84brx+4tUnENkFititZ22RZBt/mT2fMzL9UHlMosr3ZGMpg/OHjuemrm9ge2F7ttTf3v4VT2oxEhxv+ybVhacrNEqavm878LT/TLqMdJ3Q4kRSdjqph6/KGsKeEL136ca48bFJONpjZFePybDAMSDX9eHQZ2EEcy4ffyCQQip1F9G3bwbZ3/iHW37MwhYbQHr5ZhwIQvdmJQog6Cocd+uceRF5WHisLV3JOt3M4pv0xbCzdiM/lw2f5OKzNYXyw4oNqr/3vz09yXPvjcIUbdiyTYcKa4Equ/PxK/OFdX14m/DyBew65l6HNjsAIxcYHjiT8BGOZigx7I8Ynt6BWTQfA9GZhHnID3j4XUhhO7OVrg0Yqrk7DUfPfjFzBdEN6y3qbCSCEaFjuUCpPHvlfNpStZ/Jvk7li6hWEnYpBOF7Ty2W9L+Pmg27mkR8fqfK6cruc9aXr6eDqistlopTCtjXhcP3+8QesEq757JoqyR4qpibeO+se3j9lEhnk1us195WM0k8wGWo75vPHViZ7AMoLML76P6xZ40kx9zCdL86V2xbO0FsrEnsEzsAr8CtZvleIeOE4Go+dyvwt83ntl9cqkz1UJPUn5j1BpjuT3k17V3utRuN3FfDaqhf5589j+XzzJwQ9xRj1tGeXaSqW5C+JuPrfTv9b9haWOzZ6V+UOP4G4LVA/vwFl2yKWG3OewTv4OsqIzxGmdaE1lFjNSB/1Icaka3aN1Hf5cAZdRXjgNfhjpHtNCFE3flXCxIUTayx/cdGLXNLrkio723lNL9m+LE58/8TKhYA+WPkBKVYKE495llZWOxx7/xKxYRj8VvRbrXVWFa0irEPEQrqNfgSi3ridYowl79dcQTuwaTFGs8MSegGaoG1SmNGb1As+wgyXgh1Ae7Lwq3TKQ7IdrxDxptzxUxioedntVUWraJbSjFaprRjaZiguw8UBOQfw0qKXqq36VxYu45ovr+atE/6Hy96/5/u27ZCXlVdrnS5ZXbFwEY6Bxc+kSz+hKDD28B2uvvqyYlw47FBoZ5CvWpJvdWC7nUV5ODnaLkSi2dOudW7DTbOUZtx00E0UlBewpngN5U45J3Y6kc5ZnavVLwwUsrJwZZ0226mN42i6ZHUl0xN5mq+hDM7ocgbhGNlgRxJ+AgkY6TgHnldzBdMNud0T+u5eCJF4PNrHoBaDaiw/sdOJzN4wm9tn3M6U36cwY+0M7pt1H3d8fQd3D76b5inNq73mt6Lf9jvhA3jCqTx11FOku6quEmoqk38O/Sepeu/W/GhIkvATSCiscbqdBNkdIpY7R9wZ1e1xhRBiX1i2l7sG/ZUMd/XleJunNGdUz1E8Pu/xamVb/Fv4z0//4YKeF1Qr65jZsV5ufhwbWpjtePukdxg35AHO7X4uYwaO4cNTP+Kg7INR4dh5ct5gkSxfvpxXXnmFRYsWsXTpUoLBIF988QVt2rSJWP/DDz/kmWeeYdWqVWRnZ3PKKadwww034PEk7gCzhlDoZJI16mPUNw9j/PxaxQp8TTrjDL+bYOshlIcjj14XQohY5TiaTJXLWyf+j7eX/4/PV3+OoQxO7nQKJ3Q6nrtn3k1pqDTia+dunsuN/W6scizbk03HjI44gfrp7XRscNlpDGlyBCPaHwdoCgpib5GkBkv4Cxcu5KuvvqJnz56kpqby3Xff1Vh30qRJ3H777Zx77rnceeedrFixgoceeoh169bxyCOP1Pg6UZ3jaPKdTLxD/ob30FtQ2sZRLkpVZp02lhBCiFjk2Bq3nc6FnS/lzM5no1D4dCp+p4SfNv9U62sD9q7pyOmudCYc/RSecDpOPQ+kC4ed/V4evCE1WMI/9dRTOf300wF44YUXakz4tm3z4IMPcuSRR3LvvfcCMHjwYFwuF3fffTcXX3wxBx54YEOFmbAqVuDb/dmRJHshRPyzQ+De8WgyjEYpg05ZnVi2fVnE+qYyyfXlcnbXs+mb249+zfrjtdNwwrGbmBtKgz3DN4y6nXrevHls2bKl8svBTieffDIul4vJk2vfKUkIIUTy8upUru5zTY3lR7c7mhxXM27o+WeGNDkCdyANJ0l3y4z6aILly5cD0KVLlyrHfT4fbdu2rSzfF0rt2qAhVu3chSnW49wb0qb4kIhtgsRsl7Spdgd5DuLy3pfz7IJnq8y775vbl9sH3k6Gq2HX099dNN8rtYdJB1FP+AUFBQBkZlafupCZmVlZLoQQQkSSZqVzUY+LGZk3km/Xf0tZqIzBrQaT62tGhhU70+KirU4Jf/bs2YwaNapOJ5w1axY5OTl7HYiq4atJTcfrQuvY304yWbe9jDfSpviRiO1K9jYZhiJslhNSATQal/bgdlL+sK22gZcsjm1+EkopwmEbXQqFNO7PLJrvVZMmabXe5dcp4Xfq1Ilx48bV6YJpaXvXdZKVlQVU3OlnZ2dXKSssLKxxGp8QQojEp0yHrXojD85+kNkbZwPQu2lvbhtwO63d7avNc5fZSDWrU8LPzc1l5MiRDRJAXl7FOsTLly+nY8eOlcf9fj9r1qxh+PDhDXJdIYQQsc0wFNv0Zs775DyCTrDy+IKtC7h48kVMPGYiXVN6EQwm6Si8vRT1lfb69u1Lbm4ukyZNqnL8o48+IhQKceyxx0YpMiGEENEUNssZ/+NDVZL9To52uP/7+9lkryHkKcU0o57OYl6DDdrz+/1Mn16xJ/vSpUsBmDFjBjk5OeTk5DBoUMW6yJZl8ec//5kxY8Zw3333MWLEiMqFd0aMGEHfvn0bKkQhhBAxLKyCzNowq8byzaWbCTthHpk7nusPvIE0nSN7hdSiwRL+tm3bGD16dJVjf//73wEYNGgQL7/8cuXx008/HcMwmDhxIm+99RbZ2dmcc8453Hhj1eUQhRBCJA8N1ba3BfBZPm456BbapLdh+trptE5rzSb/RlxpLlzljTcFL94oHcvrAO4nx9Fs21YS7TBqleyjb+OFtCl+JGK7krVNjivAmO9u44dNP1QeswyLx4Y/xstLXubb9d9WqX90u6MZM+BOjHJvwwRdB9EepV/bDoDy0EMIIURMsmwvtx50G6YyK48d1+E4Zq6fWS3ZA3y++nPeX/kupqsxo4wfkvCFEELEJMfRNDNb8cKIF+ie0x2A4zsez/u/vl/ja15Z8gp+Fds9u9ES9ZX2hBBC1C/TNLAsA601waAd7XD2j23SztWFx4Y9QYlTjINd41a4AAWBAmwt0/QikYQvhBAJwjQNyq1i5m6bzzfrvyHHm8NJnU4mTWVghDzRDm+f2baDaftIdxtsDW3CbbgjTtWDigF9piGpLRL5qQghRAIwDEWhsYXLPruULf4tlccnLpzIFb2v4OzO52EE4zfpAxhBD7neFpzU+STeXf5uxDpndDkDr5MqG4JHIM/whRAiAQStUm6eflOVZL/TMwue4bfSlbWO4N4fLpeJ1+vC8mlCnhJCnhIcd7BBrqfK3Vzd+xq6ZnetVtYzpycX9bgYJ9Qw7Yx3cocvhBAJoChcyIqCFTWWT1z4DGMHPYDhuOvtmtoKU26UMOn3yawsXEnnrM70bda3Yptarbmp/83kmM3ANvd8sr3gCqTxxBFPsqxwGR+smAQKTu88kk4ZnbECqRHn7gtJ+EIIEfcMQ7G5bHOtddYWryVMCDf1k/C1Fean7bP5y8y/4OhdHehuw80Dwx7g3eXvcs4nZ/PSiJdpbXX8w852+3ltrTEDKfRK7U/vfn0BhbbBDmhJ9rWQLn0hhIhzjqNpltKs1jpt0ttgUX8T1P2quFqyBwg6Qe6aeReXHHAJYSfM/d+PJWDUPKp+f9i2QzgI4aDGtmM30btcJqZb43IbtW5f29DkDl8IIRJAhpVJ56zONXbrX9HrSizbg1MPd8Aul8mHKz+slux38of9LNu+jB45PVi0bRFByrHw7fd1441pgt8qZvLar5iz6Xua+ZpxZpezyLJyojJrQhK+EEIkAHc4lUcO/zeXTbm02sC9K3tfSfvUjjjB+rkLdpTNr4XLa62zrmQdTX1NgYou+GRjmLDBXs2ln15KWbis8vgbS9/g8t5XcHanczFDjbsEsCR8IYRIAI6jyVS5vHLcayzOX8g3G76hiacpJ3Q8gRSVXq9T8kxMumV344vVX9RYp216W+ZsnEOb9Da4jfieDrgvAmYJ1029rkqy32nigmc4vPUw2lp5jbq7nzzDF0KIBGHbDq5AKv0zDuHmA27nws6XkB5uilnP3cfBoM2JHU+qssb97lKsFDpndWbp9qXcetBt+JyMer1+PFhftp5t5dtqLH9+8QtoK9SIEUnCF0KIhGPbDoFAuEGX1fU6aYw//GEsVbWj2Gf5eGDYA7y99G0eGjaeXpkHEg7H+fK++2Bj6cZayzeUrCfkNG7Cly59IYQQe02FLfqk9+fDUz9i+rpprCpcRc8mPRnYciBaw839/ozXScMO1a3LWimIxUf9hqHQWu91bO0z2tVanpfVBZfyNOokQkn4Qggh9o1t4rEzOLHV6ajWCsdxCJfvGrlv1yGdOa4AAeVnQ+kGMtwZZLqy8NppUZ1mZ5qKgFlKQWg7G4rX0zy1BdnuHLx2ep3XE2jiaUa79HasLl4dsfyinqMg3Lid7JLwhRBC7JdQaN+67AtC+dz3433MWDu98liL1BY8NGw8ra0OaLvxJ62bpkGhsYXRX97IqqJVlcfbpbfj0eGPkm02r9OXEa+dyuNHPsEVUy9nU9mmXedXJvcMvodsMxfduD36KJ3A8yUcR7NtW2zvi5yZWTE3tbDQH+VI6o+0KT4kYpsgMduViG0yUkOMmfkXvtvwXbUyr+nlnZPfxRfMavS4Qp5SLvjsvIh7EuR4c3j9+DdwBdJqfP3u79XO3QtXFq1g3pa55PqaMaTVENx2Cipc//fbTZqk1bp/gQzaE0II0egKgwURkz1AuV3OO8vfxqy/hQHrxDQNluQvipjsAfLL85m7ZS6WVbfUuXPWRA/fgVzQ8VKObX4inkBGgyT7upCEL4QQolGZpsHS/KW11vluw3cEaNweDdM0mLVhVq11vl3/Daa5d6nTcTShkE04HN1NeyXhCyGEaFRaazLctc/NT3OnYVC/u+ztida6cnXAmuT6cmNyNkFdSMIXQgjRqBxH0zmrMz6r5vX1z+9+AS6ncZeeDYVsjutwfK11Tu58CsFguJEiql+S8IUQQjS6dFcm9x16H4rqg8wGtxxMz+wD6nVL3brykcaN/UZHLLuq91WkqfhdNVCm5QkhhGh0LuXi0BZDeOPEN3l6wVMs3LqQbG82F3a/kEHNB2MFfVHZ2d4IuTml3WkMbD6AZxc+y+9Fv9MmvQ2XHnAZbVPa1+ueBI1NEr4QQoio8Jo+mtGWO/v9jRBBDAy8OpVwoD428a0bw1AYhsJxdOVGNkbIQ1srj7sP+jshgrhwY9ruetttMFok4QshhIgarTUq5MJNxRy8MI3TjW+YELBKWVOymjXFa2if0Z42qW3whCtW+XMcjXJ2xdV4X0EajiR8IYQQScUwYZOzlms/vabKjnbNUprx3yMn0MRsiRPFpX0bigzaE0IIkVQCVgmXTbm02va1m8s2c9nUSwlYxVGKrGFJwhdCCJE0LMtg1oZvKQlFXna9IFDA/K3z93pxnXiQeC0SQgghamCYih82/1BrnblbfmrwhG+6IOwqB1e41vXv65M8wxdCCJE8NLRKbVVrlZaprWiwfeUsh1JVwFvL3mTelnnkeHO4sMco2qd2wAzWvBBRvVy6Qc8uhBBCxJBg0ObkTqfw9IKnI5YrFEe1PZJQcN+2/K2NsjS/li3hmi+vIezsWq1v+trpnNzpFG7sM7pBk7506QshhEgqKaRx20G3RSz72+C/4XFSG+S6QbOUP8/4c5Vkv9OHKz/gt5JVDdq9L3f4QgghkooKuRnR5gQGthjEK7+8wu9Fv9E5szPndT+fbLMpKlT/+/IahuL34t8pChbVWOelJS/y94FjIdgw+wJLwhdCCJF0jJCHXNWaW3rfRkgHceFBhxU61DDXU0qxzb+t1jpb/VsJO2EsJOELIYQQ9UZr0EEDE2+Dr+/nOA6dszrXWqd30z64lafBYpFn+EIIIUQD0xqyXDn0yOkRsdxUJud3Px8n1HBpWRK+EEII0Qjc4RQeOfzfdMvuVuV4qiuVR4c/RjrZDXp96dIXQgghdrAsA8MwcByHcLh+O9cdR+MNZfDY4U+QH9zG8u3LaeJrQufMzrjDKehww96DS8IXQgiR9JTpELBK+XrjbJZvX0ZeVh6DWx6Cx05Dh+tvqpzjaKxgCs1VCi2btkdrjRPQjbIXX4Ml/OXLl/PKK6+waNEili5dSjAY5IsvvqBNmzZV6m3evJlXX32VWbNm8fvvvxMOh+nQoQMXXHABp556KoYhTx2EEEI0HGU6rAws47pPrqXcLq887jE9PH7kE+T5etRr0oeKZ/q23ThbAe/UYNl04cKFfPXVVzRt2pT+/fvXWG/RokVMmjSJQw45hH/961/85z//oW/fvowZM4Zx48Y1VHhCCCEEAAGrlGu/uKZKsgcI2AGu++JaAmbkjXbiTYPd4Z966qmcfvrpALzwwgt89913Eev179+fqVOn4nLtmnc4dOhQysrKePXVV7nhhhvIyMhoqDCFEEIkMcsy+Gr9NwTsQMTyoBNk2tqvOLHV6YRC9b/cbmNqsDv8unbFZ2ZmVkn2O/Xq1QvbttmyZUt9hyaEEEIAYJoGv2xfUmudJflLGm1Hu4YUs4P2Zs+eTUpKCq1bt97ncygFmZkNu/vQ/rIsE4j9OPeGtCk+JGKbIDHbJW1qOEpBXlZerXXysvLw+dx4vXteAS+a7VJ7+E4SkyPipk6dyuTJk7nkkkvwer3RDkcIIUSC0hqOaHMElhH5/tdSFse0P6bhtsttRHW6w589ezajRo2q0wlnzZpFTk7OPgc0b948br/9dg499FCuvfbafT4PVLyRhYX+/TpHQ9v5LTDW49wb0qb4kIhtgsRsl7SpYbmsigVxbp52E2G9ayc7U5k8dPh43OFUCsvrFmc029WkSVqtd/l1SvidOnWq84j5tLS0OtWLZP78+Vx++eX06NGDJ598EsuK2ScOQgghEkXY5ID0A/ng1A+Z8vtklhYspWtWV0a0H4HXSYewGe0I60WdMmpubi4jR45s0EAWLlzIZZddRufOnXn66afx+RLnWZUQQogYFzbxkskZ7c5FdQDtQCgY36Py/ygmbqEXL17MpZdeStu2bZk4ceJ+9RIIIYQQ+yrep97VpsESvt/vZ/r06QAsXboUgBkzZpCTk0NOTg6DBg0CYOXKlVxyySUopRg9ejQrVqyocp68vDz5AiCEEELspwZL+Nu2bWP06NFVjv39738HYNCgQbz88stAxSC9goICAK688spq53nppZc4+OCDGypMIYQQIik0WMJv06ZN5Z19bUaOHNng4wOEEEKIZBeT8/CFEEIIUb8k4QshhBBJQBK+EEIIkQQk4QshhBBJQBK+EEIIkQQk4QshhBBJQBK+EEIIkQQk4QshhBBJQBK+EEIIkQSU1lpHO4iGorUm1lu3c+/iWI9zb0ib4kMitgkSs13SpvgRzXYpBWpnAJHKEznhCyGEEKKCdOkLIYQQSUASvhBCCJEEJOELIYQQSUASvhBCCJEEJOELIYQQSUASvhBCCJEEJOELIYQQSUASvhBCCJEEJOELIYQQSUASvhBCCJEEJOELIYQQSUASvhBCCJEEJOELIYQQSUASfgwbM2YM3bp149prr412KPts8uTJ3HTTTRx11FH06dOHI488kr/85S+sXbs22qHVSWlpKWPHjmXo0KH06dOHkSNH8sUXX0Q7rH02a9YsxowZw4gRIzjwwAMZNmwY119/PUuXLo12aPXqscceo1u3bpx66qnRDmW/zZ49m0svvZQBAwZw4IEHcsIJJ/Dmm29GO6x9tnjxYq699lqGDh1K3759OeGEE3j66acJBoPRDq1ONm7cyNixYzn33HPp168f3bp1Y/bs2RHrfvPNN/zpT3+iT58+HHLIIfztb3+jqKiokSPeRRJ+jPrmm2+YPHkyaWlp0Q5lv0ycOJFAIMB1113HxIkTueGGG5g7dy4jR45kzZo10Q5vj66//no+/PBDRo8ezVNPPUVeXh7XX38906dPj3Zo++T1119n/fr1XHzxxTzzzDOMGTOG9evXc+aZZzJv3rxoh1cvli9fzjPPPEPTpk2jHcp+e++997jkkkto27YtDz/8MBMmTOD8888nFApFO7R9smLFCs455xzWrVvHnXfeyX//+1+OOeYYHnnkEf76179GO7w6+f333/n4449JSUlh8ODBNdabPXs2V155JS1atGDChAn85S9/4csvv+TKK6/EcZxGjHg3WsSckpISPXz4cP3ss8/q4cOH62uuuSbaIe2zrVu3Vju2evVq3a1bNz1u3LgoRFR306ZN0127dtVTpkypPOY4jj7nnHP0cccdF8XI9l2k96OwsFAPGDBAX3/99VGIqH7Ztq3POussfd999+kLLrhAn3LKKdEOaZ+tX79e9+nTRz/99NPRDqXePProo7pr1676999/r3L81ltv1T179tTBYDBKkdWdbduV/z916lTdtWtX/d1331Wrd8YZZ+hTTz21Sv2ZM2fqrl276o8//rhRYv0jucOPQQ8//DCZmZlcdNFF0Q5lvzVp0qTasbZt25Kdnc3GjRujEFHdTZ06lfT0dI466qjKY0opTj/9dFauXMmvv/4axej2TaT3IyMjg/bt28f8+1EXL7zwAhs3buTmm2+Odij77e233wbgwgsvjHIk9ceyLIBqPZfp6elYloVpmtEIa68Yxp7T5qZNm1iwYAGnnnpqlfpDhgyhefPmTJ48uSFDrJEk/Bjz008/8eabb/J///d/cfHLvy+WLVtGfn4+Xbp0iXYotVq+fDl5eXnV/sC7desGVLQjEeTn57N8+fKYfz/2ZM2aNTz66KP87W9/i/tHYQBz5syhc+fOTJkyhREjRtCjRw+GDRvGQw89FDfPu//o1FNPJSsri3vvvZc1a9ZQUlLC559/Xvnooi7JNB7s/GyI9DfVtWtXli9f3tghAWBF5aoiomAwyF133cX5559Pr169oh1Og9jZxqysLM4999xoh1OrgoICOnToUO14ZmZmZXm801pz99134zgOl112WbTD2Wdaa/76178ydOhQjj766GiHUy82b97M5s2bGTt2LKNHjyYvL4/vvvuOp59+mg0bNjB+/Phoh7jXWrVqxZtvvsl1111X5X26+uqruemmm6IXWD3b+dmw87Nid5mZmSxevLiRI6ogCb+BzJ49m1GjRtWp7qxZs8jJyeHxxx8nEAgwevToBo5u3+xLm3Zn2za33347S5Ys4amnnqpWHouUUvtUFi/+9a9/8fnnnzNu3Dg6d+4c7XD22VtvvcXChQv55JNPoh1KvdFaU1paysMPP8yJJ54IwMEHH0x5eTnPPfccN954I+3bt49ylHtn3bp1XH311eTm5vLEE0+Qnp7OnDlzeOqpp1BKJVTSh5o/I6L12SEJv4F06tSJcePG1aluWloaK1as4Nlnn+WBBx4gHA5XTt1wHKfy316vF7fb3ZBh12pv27Q7x3G44447mDp1Ko888ghDhgxpiBDrVVZWVsS7+MLCQiDyt/d48sgjj/Dcc89x1113MXLkyGiHs8/y8/N58MEHueqqq/D5fJV/O+FwGMdxKCoqwuPx4PF4ohzp3snKygJg6NChVY4PGzaM5557jkWLFsVdwh8/fjylpaW8//77eL1eoOJLDMATTzzBmWeeSZs2baIZYr3Y+d7V9PkRrc8OSfgNJDc3d68+RFetWkU4HObWW2+tVrZhwwYGDhzIvffeG9Vu8L1t006O43DnnXfy0Ucf8eCDD3Lsscc2QHT1Ly8vjylTpuA4TpVnizufz3Xt2jVaoe23//znP0yYMIHbbrutzr02sWrTpk0UFxczfvz4iN3cAwcO5Iorroj4txXLunbtWutUyXh83r148WLy8vIqk/1OvXr1wnEcVq5cmRAJf+ez++XLl1f7wrZs2TL69esXjbAk4ceK/v3789JLL1U7fsstt9CuXTtuuummiM+TY93OZ6uTJk1i3LhxlV2T8eCYY47h7bff5ssvv6zyvPH999+nY8eO5OXlRTG6fff444/z5JNPMnr0aC6//PJoh7Pf2rVrF/Fv5x//+AdlZWWMHTuWVq1aRSGy/XPMMcfw1ltvMX36dE455ZTK49OnT0cpRe/evaMY3b5p1qwZy5cvx+/34/P5Ko/PnTsXgObNm0crtHrVokULevXqxYcffshFF11U+eVs1qxZbNq0KWo3PZLwY0ROTk5l19buPB4P2dnZEcviwdixY3nnnXf405/+RIcOHarcsaSlpcV00jz88MM5+OCDueuuuygoKKBNmza8//77/Pjjjzz55JPRDm+fPPfcczz22GMMHz6cQw89tMr74Xa76dmzZ/SC20epqakR/z4yMjIA4vZvZ9iwYQwbNoz77ruP7du306VLF7777jteeuklzjnnHFq3bh3tEPfaqFGjuO6667jsssu46KKLSE9PZ/bs2Tz77LMceuihlTNgYt1nn30GwIIFC4CKGRXbt2/H5/Nx+OGHA3Drrbdy2WWXccstt3D22WezadMmHnroIQ488ECOO+64qMSttNY6KlcWdXLkkUfSvXv3uE0wRx55JOvWrYtYNmjQIF5++eVGjmjvlJSU8PDDDzN58mSKiorIy8urNsI4nlx44YV8//33Ectat27Nl19+2cgRNZwLL7yQoqIiJk2aFO1Q9llZWRmPPfYYH330Edu3b6dly5acddZZXH755XHZpQ/w7bff8vTTT7Ns2TLKyspo3bo1J5xwApdccgkpKSnRDq9Oavpi8se/oRkzZvDYY4/xyy+/kJqaytFHH81tt90WtWf4kvCFEEKIJBCfXxGFEEIIsVck4QshhBBJQBK+EEIIkQQk4QshhBBJQBK+EEIIkQQk4QshhBBJQBK+EEIIkQQk4QshhBBJ4P8BFYEwy/vPvxIAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "2e139f0b",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Features used for clustering\n",
"\n",
"### Example 2: How would you group objects in the following example?\n",
"<br>\n",
"<center><img src=\"images/example_tools_in.png\" width=\"500px\"/><center>"
]
},
{
"cell_type": "markdown",
"id": "c1565bcd",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Feature used for clustering\n",
"\n",
"\n",
"### Example 2: Classification based on semantic features\n",
"<br>\n",
"\n",
"<center><img src=\"images/example_tools_out.jpg\" width=\"700px\"/></center>\n",
"\n",
"Why not classifying objects based on their size/weight/color? Such classifications could also be useful for different applications.\n",
"\n",
"$\\rightarrow$ __The choice of the characteristics, as well as the distance metrics used to compute clustering is paramount and can change drastically the results. These choices are application dependant.__"
]
},
{
"cell_type": "markdown",
"id": "c9ff2a1e",
"metadata": {
"slideshow": {
"slide_type": "skip"
}
},
"source": [
"## Take-home messages\n",
"\n",
"* The classification resulting from clustering depends on the __features__ used to represent entities."
]
},
{
"cell_type": "markdown",
"id": "f52c1c55",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Why do we use clustering?\n",
"\n",
"### Unsupervised robotic sorting\n",
"[video1](https://www.youtube.com/watch?v=NpZIwY3H-gE)\n",
"\n",
"[video2](https://www.youtube.com/watch?v=korkcYs1EHM)"
]
},
{
"cell_type": "markdown",
"id": "6be005a3",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Why do we use clustering?\n",
"\n",
"### Recommender systems\n",
"\n",
"<br>\n",
"\n",
"<center><img src=\"images/clustering_recommender.png\" width=\"900px\"/></center>"
]
},
{
"cell_type": "markdown",
"id": "3503f8d9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Why do we use clustering?\n",
"\n",
"### Image segmentation: Tumor identification\n",
"\n",
"<br>\n",
"\n",
"<center><img src=\"images/tumor.jpg\" width=\"700px\"/></center>\n",
"\n",
"_source: https://www.mathworks.com/matlabcentral/fileexchange/27022-image-segmentation-using-fuzzy-c-means-with-two-image-inputs_"
]
},
{
"cell_type": "markdown",
"id": "8b022889",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Why do we use clustering?\n",
"\n",
"### Image segmentation: Ecological studies\n",
"\n",
"<br>\n",
"\n",
"<center><img src=\"images/forest_segmentation.png\" width=\"900px\"/></center>\n",
"\n",
"_source: https://www.kdnuggets.com/2019/08/introduction-image-segmentation-k-means-clustering.html_"
]
},
{
"cell_type": "markdown",
"id": "dbebfe62",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"## Why do we use clustering?\n",
"\n",
"### Epidemiology: Covid contaminations prediction\n",
" \n",
"> Pereira, I. G., Guerin, J. M., Silva Júnior, A. G., Garcia, G. S., Piscitelli, P., Miani, A., ... & Gonçalves, L. M. G. (2020). _Forecasting Covid-19 dynamics in Brazil: a data driven approach._ International Journal of Environmental Research and Public Health, 17(14), 5115."
]
},
{
"cell_type": "markdown",
"id": "ebfa4500",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## How do we evaluate clustering results?"
]
},
{
"cell_type": "markdown",
"id": "727d66f4",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Internal metric:\n",
"\n",
"- Silhouette coefficient\n",
"- DaviesBouldin index\n",
"- Dunn Index"
]
},
{
"cell_type": "markdown",
"id": "2df07841",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Example internal metric: Silhouette coefficient\n",
"\n",
"For a point $x_i$, which is associated to cluster $C(i)$, we note $a(i)$ the mean distance between $x_i$ and other points in $C(i)$:\\\n",
"$$a(i)=\\frac{1}{|C(i)|-1} \\sum_{j \\in C(i), j \\neq i} d(x_i, x_j)$$\\\n",
"and we note $b(i)$ the mean distance between $x_i$ and the points of the closest other cluster:\\\n",
"$$b(i)=\\min_{k \\neq C(i)} \\frac{1}{|C_k|}\\sum_{j\\in C_k} d(x_i, x_j)$$\n",
"Then, the silhouette for point $x_i$ is:\n",
"$$s(i) = \\frac{b(i)-a(i)}{max(a(i), b(i))}$$\n",
"And the silhouette for the entire dataset is\n",
"$$S = \\frac{1}{K} \\sum_{k=1}^K \\frac{1}{|C_k|} \\sum_{i \\in C_k} s(i)$$"
]
},
{
"cell_type": "markdown",
"id": "db712288",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Visualize silhouette: correct clusters"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "205e9450",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.metrics import silhouette_score\n",
"\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "6e34f696",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Visualize silhouette: random clusters"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "33081e44",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"random_clusters = np.random.randint(0, 3, n_points)\n",
"\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=random_clusters, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "71dafea5",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Visualize silhouette: only two clusters"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "197f0652",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.cluster import KMeans\n",
"\n",
"twogroups_clusters = KMeans(2).fit_predict(data)\n",
"\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=twogroups_clusters, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "fcf0235a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Visualize silhouette: many clusters"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "fe519d51",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 2 6 13 12 13 7 1 7 11 7 7 18 6 15 7 0 3 4 8 9 12 11 7 13\n",
" 4 10 1 12 9 0 9 16 0 1 2 4 12 12 12 7 10 16 8 15 12 4 4 12\n",
" 15 8 1 2 10 9 6 5 13 0 6 7 5 3 14 1 7 17 6 14 7 2 7 19\n",
" 8 2 15 9 12 14 5 1 18 3 8 5 2 16 17 7 10 18 19 13 3 11 6 18\n",
" 11 14 3 10]\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"many_clusters = KMeans(20).fit_predict(data)\n",
"print(many_clusters)\n",
"\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=many_clusters, palette=\"tab10\")\n",
"plt.legend(\"\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "15330967",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Compare Silhouette scores"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "8b41194d",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Silhouette true labels: 0.8474469113729575\n",
"Silhouette random clusters: -0.04685894742512662\n",
"Silhouette two clusters: 0.5806310922637636\n",
"Silhouette many clusters: 0.44519330790414796\n"
]
}
],
"source": [
"print(\"Silhouette true labels: \", silhouette_score(data, labels))\n",
"print(\"Silhouette random clusters: \", silhouette_score(data, random_clusters))\n",
"print(\"Silhouette two clusters: \", silhouette_score(data, twogroups_clusters))\n",
"print(\"Silhouette many clusters: \", silhouette_score(data, many_clusters))\n"
]
},
{
"cell_type": "markdown",
"id": "a97921ee",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### External metrics\n",
"\n",
"- Purity\n",
"- Clustering accuracy\n",
"- Folkes-Mallows index\n",
"- Normalized Mutual Information"
]
},
{
"cell_type": "markdown",
"id": "21c511f8",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Example external metric\n",
"\n",
"$\\to$ Need for specific clustering metrics when ground truth is known\n",
"\n",
"#### Example: Purity\n",
"Let's call $\\mathcal{C}$ the clusters found, and $\\mathcal{D}$ the ground truth classes:\n",
"\n",
"$$purity = \\frac{1}{N} \\sum_{k \\in \\mathcal{C}} \\max_{d \\in D} |k \\cap d|$$\n",
"\n",
"_Issue: more clusters $\\to$ Decreasing purity_"
]
},
{
"cell_type": "markdown",
"id": "222307f8",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Choosing a clustering algorithm\n",
"\n",
"#### Different families of clustering algorithms\n",
"\n",
"- Partitioning-based\n",
"- Connectivity-based\n",
"- Density-based"
]
},
{
"cell_type": "markdown",
"id": "64f4880a",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Partitioning-based\n",
"\n",
"#### Pros\n",
"- Can conduct inference on new data points\n",
"- Usually fast\n",
"\n",
"#### Cons\n",
"- Number of clusters required\n",
"- No outlier detection\n",
"- Need access to point values\n",
"\n",
"__Example:__ K-means"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "41392ab9",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"[2.184988 6.51544932] 0\n",
"[ 6.12525812 -4.12924726] 0\n"
]
}
],
"source": [
"clustering_algo = KMeans(3) # Number of clusters required\n",
"clusters = clustering_algo.fit_predict(data)\n",
"\n",
"new_x = np.random.uniform(-10, 10, (2, 2)) # Can conduct inference on new points\n",
"\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters, palette=\"tab10\")\n",
"plt.scatter(new_x[:, 0], new_x[:, 1], marker=\"X\", c=\"r\")\n",
"plt.show() # No outlier detection\n",
"\n",
"print(new_x[0, :], clustering_algo.predict(new_x)[0])\n",
"print(new_x[1, :], clustering_algo.predict(new_x)[1])\n"
]
},
{
"cell_type": "markdown",
"id": "d7ceaa6b",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Connectivity-based\n",
"\n",
"#### Pros\n",
"- Does not need access to data points values (only distances)\n",
"- Can handle non linearly separated clusters\n",
"\n",
"#### Cons\n",
"- Number of clusters required\n",
"- No outlier detection\n",
"- Usually slow\n",
"- Cannot conduct inference\n",
"\n",
"__Example:__ Hierarchical clustering"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "662b7e06",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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pzjldE/nfFT1ZvKOI8W8u4uq3FvP4tPX8urUAvVZyWtMUPKpCBYJKBF5VQVXlAoVEAmDdPQdL/hoEgWOABAaW/DVYd89p2QtrYZrVWPgj7pJZs2YxaNAgEhIS6rdFRUUxcuRIfvzxx/ptv/76Ky6Xi7Fjx/odP3bsWLxeLz/99NMRX4Pk1EIIgd0SeO1xyuLddEwM557RbQl3HFi9654aweQJvXl25maqPTo2TcFmUVm8s4g9RVUB+2od7eTJC7sghGBfjU6FUKgUAkVTGJgR0+Q1dkgMZ1dtv52Swnn/un7YzQMPMVPA/37awvLdJTw0dQ33jmnPTe8vZd7WgnrZ6f2lNTz4+Wq+XZsDFpUNhdVc++4yRj7zCyOe+YVbP1rJngoPyCU8iQTb5i99Sw9NYAoF2+YvW+iKjg3HZYBjTU0Nu3fv5swzz2zU1r59e6ZNm0ZhYSExMTFs2bIFIQRt27b12y8tLQ273c6WLVta6rIlJyiKKqg2BXuKq4kNs+G0qo3KRZsmPPD5Kt66ug/f3zmUXUVVCAGbcsp55Ku17Cz0vcDvH9MOXTfJLq6mTWwI+0pr/PrplBTOo+d14olp6/nrV2sBn2DT8HZx3D4ii7O7JvHqL9sDxkh0TAqjfUIon940EMM0EQIsikAIqHOHuHWD37YVANCjVSRvzdtBWXXgwMznZm3htI4JjHtzUb0hAbByTwkXv7qAr24bRJJDa1L4SSI52VGqCnwxCk1hGijVhU3vc4JzXBoLpaWlmKZJREREo7bIyEgASkpKiImJoaSkBIfDgdVqbbRveHg4JSUlR3QNQkBERNNBYs1FXRGiY3X+Y01Ljt8wTbYVVDHx7SXkV7g4r1sS941px5PfbWi0b0ZsKJ2SI4hyaCDguR838+2q/bh1g7QYJw+c3p5BmTG4vAbT1+zn9lFtWbDN9wBRBEQ4LDx2fidum7KcgooDyw2mCXM25aMg+NNZ7ZlyQ39unbKM3LIDGQ09WkXy0lU92bS/jL9MXUtebbZDfJiNR8/rxJCMGJxWldKS6voXf//0aJ79cXPQsVe5dXYUVGLX1EbGidcwefL7DUy6qieRNs3PmGiIbpqUVHtxew00VRBm07AHie2oi8EM1lcd8v6X44c/Nv7ychWvVz8qy2lmSCzUBTUGQyiYztijtHzn60M9jASLOuefqopDnltRfJ9tU59rU9Irx6WxUMfREI2RwjOSpiiq9nLFawspd/lm39+u3k/rmBBeuqoni7cX0rN1FHHhdmyaQnqsk3Cr7ycTH2LlsXM7cf/p7TEME6sqiHJafLUeNIWh7eLILavh1hGZhFg1+qZFUVjpBgRPXtiV1+ZuY/nukvrrOKNzAuP6t+Hxb9dT5db5+/ldsFsUXF6DjNgQopwWNuWUc/17y/yuP6/cxR0fruCta/owNCsGp0XFYfG9/E04ZGqkYYIZpLz1wu1F7CyqZkd+JYMyY4hxan49lrm8fLZsL6/N3U5xlQeLKjivezIPnt6emAZ1LirdOmUuL0t3+vQn+qRFE27TCLG2XLqZRHKkuNtfhG3z103uI0wDd4eLWuiKjg3HpbEQERGBECKgV6BuW52HITIykurqatxudyPvQllZWUDvxOFgmlBaWn1Ex/5R6iy/Y3X+Y01zjF8Iga4IvIAJaKqCqZuU1Hi4pHcqG3LKWLjd9zJ7fe52Jk/oTXpcKM/8uJm9xdUkR9i5eVgGZ3RKQPUemIXXvxJ1KHEfcPdfNyiNP3+5mr+c3YlnZm72S59MDLfzxIWd+WTJHmZtyCMtxslV/Vpz/btL6jMkbvlgGWE2jagQCy9f1QuvV+XRb9YFHd+T323g/Wv7YlcE4we05vVfdzB/ayGjOyXw3oJdAY8JtWnYLQo1nuAzpooaL499s45xA1pzed9WWIXAoQjcpskzP23ls2UHMkc8usmXy7NZvquYD6/vj0XX0TWVF37eyoeL92BRBUkRDtxeg1Ed4rhrZJbfZ1mHvP/l+OGPjd9du4yo6398CU1PHYE9rita/rqAQY4mAm9cF2pShsNROF+dR6Gpa//551kAbNjgE4pbtmwZRUXF2O0OBg4cHPAYw/B9Lk19rjExoUG9C8elsWC322nVqhWbNzd2oW7evJno6GhiYnyBYFlZWZimyZYtW+jcuXP9frt27aKmpqZRLIPkxMCjm7gVBROfC98O9emBvxtFUOwxeXbWJn7elIemKJzROYGr+rdm6c5iLuqdysrdxdwzuh1PTd/IhT1T+HjJHn5YdyCTZl9pDX/7dj0LdxTx6NkdDlmIyaLrPHVRN/4ydQ2/bC7wa8spq+GOD1fw/vX9mbe1gPED2vC/n7Y2SqUsd3kpd3n52zfr+d8V3dmWXxn0fNsLKnEbJlbD4PrBaeSU1jB97X6m3NCfaav3U1TZOMviwTPa8fPG/KB9DsyMobjSzRsT+/Dhot1c+uoCrKrCxb1TuaxPK5btKg543M7CKhbtLOK0drH8tqOYgnI3D53dgW6pkWzNq8BhUUmKtLMyu5R+qREyhVNyfKOolJ77fkCdBWEaeOO6UHru+y0qzPTII//n9/dbb70GQGJiEp9//m2znPO4NBYARo8ezZQpU8jPzycuLg7weRV+/vlnzjnnnPr9hg0bhtVq5euvv/YzFqZOnYqmaYwaNarFr11y5KiqQn6lm5d/3sYXy/fi8hp0Tg7n/87sQNsY5+8ufqSqCnsrPVw6eUED+WODL5ZnM2tDHq9d3Zs/f76Kv53fmVveX8Yr43vjNUweCzKLn742h9uGZ5LkUJtcezdNqHbrjQyFOlxeg6kr9nJet2Q6JIYHjJGoY/nu4kNVovaNVQgwTVSPzsNntufe0e3Yml/ORzf257kft/Djhlx0wyQtxsmDp7enb5tItuRX8vb8HY3GYlEF949pR6XLy9VvLvaTjp62ej9JEXZeu7oPOaXV5JTV8N6CXazeWwr4YjMinVa2FFaxfHcxd57Wlld+2co/v99Y34fdovDgGe2pSYnAvzC3RHL8YTpjKblk2gEFx+pCDEfMMVFwBJg3r/lrQRxMsxsLM2bMAGDNmjUALFmyhOLiYhwOB8OHDwdgwoQJLF68mE2bDrhqr7/+er755htuuukmbr/9djRN45VXXkHTNG655Zb6/aKiorj55puZNGkSYWFh9O/fn5UrV/LGG29w9dVXk5SU1NxDlBxFqhFc/MoCcsoOZBGs21fGhLcW899LujEiIxqzwZtTCIGpCty6iUURqKbpF71fY8Jfpq4JWCehtNrDO7/tZFBWLD9vzKNfejTfrNqHM0j6ZB1frMjm3uEZuN3+WQaaplKpG2iq4suU2FPaZD/Ld5VwSZ9UjENF/OGLKxiYEcOC7YEjrgdmxGBTBdRekqobhAnokxSOEPD4OR14+OwOGKaJRVEI1RTKvTrx4Xam3NCff3y3gbwyF9cPSadfRjSqEITZNR6eutbvsxvTKYHx/Vvz/KwtPDTVl82RGRfKXadlsXpvKR8t3s0r43vx/er99GoTxXndk6nyeNENnxKmXvvd1HgMnpi2gS7JEWRF2GTGheT4R1Fxp52GO+20Y30lx4RmNxbuvvtuv79ffPFFAFJSUpg9e3bQ42JjY5kyZQpPP/00f/rTnzBNk969e/PBBx+QnJzst+/tt99OaGgoH374IZMnTyY+Pp4777yTG2+88egPSNJsqJrCZ0v3+hkKDXl82nr63zWUEE1B9xroikJelZtX5+5gR0EFraOc3DQsg5RwG2qtQeEyTNbtK2vUV0yIlYmD0+iXFo3TplHj0cGEj5fs9s3Qm6DGo/ut6ymKwKUofLFqHzuLqjizcyKvz93O5X1bNdlPmF1D1w0qXB46JIaxMac84H4dk8IwTbhjVBYr95Q0ylywWxTuHh14ua1u6casXdKZv62Qggo33VtFUuPReXzaekKsGreNzKR7aiR/+XINT83weQA+vLE/m3IPXFNCuI1rBqZx3TtLcDcw2LblV3D3xyt55tLuPHh6OzChdUwIz9bGe0Q5LVzetxVvT+zLHR8u96ux8d+Zm3jh0u5oQYIsJRLJ8UGzGwsNvQXBeP/99wNuT0tL81NrDIYQgokTJzJx4sTfe3mS44gq3eTLFdlB28tqvGzJLaew0s2QzBimr8vh8WkH3Pcb9pfzw/pc7jmtLVf0SkE1jPqZbENSoxw8e1kPXpq9hWd/3Ixp+uIiTusYzy3Ds3B5dN5fGDgoEOCcrkl4GrywXYrChLeWUFzl5uWrenHNW4tx6wY3D88k1KZR4QqsczBxUBp906IAePTcTo30DsCXynTnyLbklNYwac5W3rm2L+/M38lPG/IA3zVPHJzGm79u59FzOmELcB5DVfhxUz5/+3a93+eRFuPk2ct6cM/HKwi1aUx4axF7ig4EP3kPiqG4ql9rXpu7zc9QaMhzszbzwfX9eennrXzeIPCxuMrDq79sZ+nOYp68sAt3fbyyvm1Ndik6x/F6qEQiAWSJaslxhucQi/M1XoN/fr+BkhovTwRZ53/+py2U177M7ZpCXJj/K/TxC7rw4OermLvlgKqhYcKP6/N4eOoaWsc46ZAYFrDvrPhQMmMPyCurFpWpK7PZll/BZX1Sefu3HfUv03fm7+SRczsFjC7unx5Nl5Rwqtw6hm6QFe3g3Wv7kREbUr9PRmwIL17Zk9+2FaCqgt+2FnLzB8toFe3klfG9eGV8L1pFO7n5/WXsL3UF/DELIcipdPPXr9c1Mpx2Flbx92/X8fA5HSmocPsZCgCmaRJmO/Aa79k6il+3Bo7BANhbXI1bN/wMhYYsrQ2ITI06kOcd7WysjyKRSI4/pEEvOW6wq4LRHeN5f2Hgmgo2TSE6xErHpHC+X7O/yQDDz5dnc9vgNFTD5MHT2/GnL3wxM1nxoRRUuNhVGFiKeWNOOdnF1bwzsS9/n7aemet9QYGK8K3XP3pOJ2ymUZ9AVaUbfLR4DwC920TxToNCULM35pEYbufda/sxZdFu1uwtISrEyqW9U0mJcnLei79R7vLSp00Uz13Wne4JIbx/XV/ctS91BcFdH69g1d5SMuJC6NMmiqW7inlt7nZem7vd77qfvigTu4CD8woMRTDp521BP6d1+8rIiAvh9V93NGr7ckU2Ewa2YdKc4McfjOsQmQ0/rMtlaNvY+s/s6oFtCFEEAUJKJBLJcYT0LEiOG0yvwfVDMnAGEeu5emAa367aR5hdozhAKmBDcspqQIDu1RmWGcOTF3QmwmGhW2oE87c2Lcs6a30uTsXksbM78PN9w/nh7qHMuX8Ej5/TEZuh+wXjmQgqa5cZdAMsB9VT+HDxbu75ZCWto528NbEvV/VrzTer9nHje0vrhaCW7irm6reXUKmDVTdICbeTEm7Hoxusqs0weG3udv50ZgdaRTdWX5swoA3dU8KhNnai3BTUKApoCh7TZHNeRZPjLap04wgQ1PnNqn1kxody/ZB0bJrC0l1FDG8bF7Sf1tFOvIcIVPToBmrtZ9QlOZwLuifjDaC1IJH8ERRFwTTlfdUQ09T/UL0m6VmQHFc4NYX3ruvHE9PW178owx0aEwelcUGPFG56dylCEYxoH99kP0OyYjFqlwNU3eDsDnGMaB+HEOKQM2WH1ZcWqegGDsChCV9etS8G0g+bgH7p0fywLpdft+RzRpfERm74oko387cVkBbj5OHaehAHs6Ogku0FlXSMOWAMODSF1tFOdhdVkVvm4v7PVvLYeZ0prfawdGcRYQ4LZ3RKpKTaTV6lB49ucNdHK8guqUFTBGd0TuChszuSGGFnR0FwjQavYXJ65wSmLPL36JgmPPDZKq7s25rpdw8lt8zFmZ2TWLC9MGB2yePndybc3vQjZWSHeJbtKua5y7rTPz0ai27I0EbJUcdiseByVVFZWUZISPixvpxjTmVlGV6vB7vdecR9SGNBctygqgprc8vJr3Dx30u7Y5igGwamCe8v3Mkt7y/jlhGZPPj5alKjHMSF2cgvdzXqJ8JhYWBGjN+MVfca2PCt4V/WO7XRi7EhBwcwNoVimNxzWltmbchj6ops3r2uH7M25FJS5fHbr2NSOIt2FDXZ1y+b8+k6NK3+b4fwvYCvfXcJpgl7iqq5/cPlfHjjALbnV7Axp5wJCxZRWatWN6JdHI9f0IWb3l+G1zD5bk0OeeUubh+ZVV+j4mBSIh2UV3up9uic1z2Jb1ft92s3TXB5dWauy2XG2hz+fn4nPrihP8/M3FSveNkpKZy/ntORzCg7hhAMzIhmwfbGY20V7WBY21hGZMZgV8Dr1aWhIGkWQkIi8Hg8lJcXU11dgRAnjrR43eT/d0rKBMU0dbxeDzabk5CQI1M0BrkMITkG+LQRFFyK75+oLTzkFYIwh4UPFu5mzHNzOeP5uZz9wjye/G4DY3ulUuHykhhhx6IK3F6Dj27oT5sYf0s5OcLOxzf2xxHkNWSaJvGhVs7snBiw/bI+qYTbmhZcOri/WLvGW9f0IcSm8fi363ltQh/O7ZaEpbawS89WkdwyLJ0IR9PyQxG1tSXq0HWDjnFOPrqhP52TfbOjS3ql8vHi3bz08zZmbcirNxQA5mzOZ9muYk7rcMDrsmRnMSE2jUt7pzY6X5hN49+XdOOjxbvYlFPOg2e059FzO5EZF4pNU2iXEMoTF3RhUFYs/5m5icz4EDblVtA2NoQXLuvO3AeGM+f+4bwxvhcdoh0ohonFMHj20u4+aWjV970qAk7rEM+H1/fHbhhohoFXBilImhEhBJGRsYSGRqCqJ5bsl6ap9cW0jgaqaiE0NILIyNg/VCtJmObhPhZPLQzDpLCw6bXe5uJk0oZXNYVqA8rdOoqAEKuK1zD5x/cbmbslH6uqcGGPFG4cmo6iCC55dQH7SxvrLGTGhfDgGR3QDYMIu4WsGCdWAdUmFFS62V1URWqUk/gwKw7MoLrqiiIwTROvqjJrYx6Tf91OdnE1aTEh3DYikyGZMQHrFRwKRVWoAV8FRt0gIczmK9JkmmgC7MIku9LLuS/9FrSPn+4bRrho/P2rqkKNCR7TRAjBmOfmBlwGAIgOsfLPsV255YMDBaf6tIni/tPbUeXW+X7NfkqqPfRIjWRszxQ04YsjcKgCjwnPzNpCrzbRxIVZyS1z8enSPazeW4qqCD64vj/P/riJ/13aDUuA2ARFEbUPOROPYVJt+FQs7RYVu+qbmbh0E1URWAku3x3s/hcCUFXchoFFKCimcVKKOZ1Mv/8jQY7/2I0/JiYURQlsUMhlCEmzoasKP24u4N8/bKp3yyeG23nwjPYkRtip8RjUeAzeW7iLzXnljO/fJqChALAtvxKPbtA1OZwITeD1GuiAFUhxarQKjcAwTEzdaJQRUHctNbrJ9rxKQm0aKZF2zu2UwMh2cb63kGnirHWNHwmGbmAF4q0KoMBB/XiBGKeFy/uk8snSxqmFtw7PJERTCKTrrOsGFnxFq0p1M6ihAL74iIMDRA3TZMnOYt6Zv5PTOsSTGuVk4Y5CwuwaF3ZOQDVNTK+JVRHcNbodN7+/lA37D4gxOa0qj1/QmS+X72VsjxQcivALZBRC4FEEe0prmLE2B4uqcF63JGKcFqI0gSmgqMbL5F+2s2ZfGXGhNm4cmk7HhDA0/fA+b0NVKKrx8tqvW9mSV0F6TAg3DcsgPsSCIr0UEkmzI40FSbOgWRR+2VpULwlcR05ZDfd/topXx/dm/rZCttZG6qdGOZm5PrfJPpftKmJQejRel388gGk2XaHNq6k8+f0Gvl+bU+/mj3BY+M8l3eieGIZS+8Jq7neOphvcOyqLEe3jeeWXbeyt9WhcPySNTknhjaMnA2DTFKyqElQYKdJp8alRNuC0jgnM21pAUaXbr0pkWowT0eXAcoxhmIRo8O+Lu5FX7mJLXgXRIVaSIxy8M38HuwqruHd020YGlVtVuHXK8vqAVIDJc7dzZudEHjuvE8t2F3PHRyvqP/uteRUs2F7IBd2T+b8z2h2yKJehCOZsLeTPX64hPszGPaPbkhrlZE12Ga2jHaTFhODArA9olUgkRx9pLEiahSod/jMzuHrnpDlbGT+gTX3BJrfXCJoyWUd0iA0LJo1DGoNjqApP/7CJ79bk+G0vrfZw8wfLmHbHEBJsKi21GqeaJnFhNs7vnkxMqI3c0hqe/XEz2/IruX1EJhMOIRFtF3BBj2S/l35DLuvTiqkNVDBToxz0bB3Jf35o/F10TorAOCiKyvDqxDstVLq8bMopZ/muIspdOuP6tebx8ztjMwz/Ir2awrOztvgZCnXMWJdD7zZRLN5ZGDAG5OtV+7iiXyvaRdqbXE5wmYKHvlpLYridF67syZPfra8vWgUQF2Zj8vhetA61YR6tqDCJROKHNBYkzUK11yC3LPhrffXeUh44vX3933O35PPsZT34eMmeoMec3SURVxDp5GC4DJ9eQB1hNo3RnRJwWBS25lfywuwtPHFOR8RRqEN/WNeD4Oq3FlPlbux+f3nONs7snEh0WCDRZh+agL+c1QGrpvDp0j1+Za0HZ8ZwfvdkbnhvKRZVcG73ZK7s25oHP1/VqB+7RWFY29iAgYaKbtAuysGDo9ti1i7ROFSB7tE5eO9qA75eGVyi+7Vft/O38zrx4/q8gO1vzdvBP8/v5JPQDDReTeGXjfnohsmfz+rAo1+vbVRDI7/cxVVvLGLmPcNorEIhkUiOBtJYkDQLapAgmWDtJVUeKl0eLu6Vwsx1uVzUO5UhWTEIIVi2sxiLKgi1BF7TD4YQkFtWg2GCqsCkcb1pGx9KTlkNqhA4rZqvEiIt80NQVYW12WUBDYU63lmwkyfO74x20OejqoJqBEv2lLJoRxGpUQ6+v2soK/eUsGJ3Med2S8atG0xZuIuXruxJYrgdmwJbC6vIOSgOxG5ReGdiX+wi+MpHXZxE/d9BPvYaj+5nsBxMfrmLcHvwaPTiKo+vImWQdiEEOaU1RDkthNq0oMW2ajwGXy7P5uo+KegyhkEiOepIY0HSLNgUQZeUcNZmN674CDC6YwK/NagzIAS0inTyf2e05+ZhmUyas5W7PlqJbpiM7BDH/WPao/7OpQLThBC7hhDw5a2Dmbkuh7s/XkGNx/cyiQ218n9ndqBn60iiNNFk3MPRQAjYd4gI532lNbh1A0058PpUVYUCt86Vry+isIFy5b9/2MTfzuvMwMwY7v5kZb3mxEdL9nButyT+elYHsiLt/HTvMOZtK2BzbgUdEsMYlBHjMxSOwhq/XVPRDgp4bEhMiDVoIS3w1ciwNmED6rpBn7Qo5m0tYMP+wPdSHQt3FHJl7xSZDy6RNAPydyVpFuwC/nFBl/pc+4aE2zVuGJLOp0t9Sw5JEXbevLoPyWFWyl1eLn5lPl+t3Ee1R8etG/ywLpfzXprH/iovqvr78oQj7Bq3j8hk7pZ8Xp6zrd5QACiocPPgF6vZVViFWzT/T8EwTF8gYxP0SI3AfpD0cjVw3btL/QwF8BlDj32zjjC7pVEBrmmr97NoZzGaIrAZBme0jeXuYRmMyYrBZhhHxVAAsCtwdtfAmhXgq6y5ZEdgQSibpnBZn1ZNegIMw6RdfCgOq0bUIYpORTmthywvLpFIjgxpLEiOGM3iE1WqwFeLwFSV+gqLum6QHGJh2p2DObNzIjZNwWlVuaxPKt/eMYTUSDsf3tCfmfcM5fObB9AjMRSAp3/YVF8zoSEur8Ffv16LCwVNU4PmAh+MA7i0Tyte+2V7wHbThFd+2UaFWw9YHfJoYhgmraIcflUXG6Ipgsv6tPL7UQohyC1zsbc4uEfi82V7Ob97cqPtk+dup7p2xcPrNXC7vUddDEkxDP58RoeAVTqHZMXSo3UkZ3VNpkerSL+22FArU27oT8hhPIEcwD8u7EzHpDBsWvADrh2UhpABjhJJsyCXISRHhK6pzNyYzwuzt5Bb5qqtRZDIn89oT6haK7hjmERrCo+f2wHPOR0wTbArAnQd0wuxltoHf602gltRmLUhcCAc+IIiS11evttaQNeUCFIi7ViEwIoZ9CWo6wbVXjOgAVJHXelkIUSzZ0U4gHev7cs1by/xMwCcVpVXxvUi9CDPiaIIdhUFrpBZx87CSjoG8FjsL61GF2BpxiGZJtgMg7eu7sP2wkq+WrkPTRGc1jGe4ioPN7+/jBCbxt2nteWB09tTVuNBVQRt40OJVEVQYaaG6LpBlCZwRNh5+uKu3PvpqkbZFWN7JNMq0i7TJyWSZkIaC5LfjakqTFm8hxd/3lq/zVeLYD9LdxXx5S2DqHMYm6aJ8JoH/m7iWe6rBdH0my2v3MWT320AfLUG/ndFT/YWVdGndZSvdPRBx6uqglMRKCJowD0Oi4qmKphNXdxRwvfiU/jkhv7sKalm/f4ykiMcdEkOx4bZaPHe541ouvhLqygnBRWNM08y40Jb5AdumiYWXadTjIP00W359w+beOjLteTXXlOVW+evX63lnK5J9EmL4vlZW7h5WAZX9UwmmCaTED7j0WOYKEJgw2eUDGoTyXd3DmHy3O2s21dGXJiNm4Zm0CE+xE+vwWJR642/w63zIZFIgiONBcnvxlXrug9EbpmL79bs59JuSb9bDVFToGtKBGuyG+fsgy+2obzmgIdgT1E1932ykvtPb8+4txbzwXX9sNbqN3pVhQq3zvIdhdgsCp/fMoivV+3j3fk7G/V7fvdk7JrA9DRqahb0WrXHtpF22kc7ME3zwL+D9jVNk6QIG4nhdl/Z7QBc0juVP32+utH2u0/LwibMgIqWzYGum1gUkwu6J/PL5ny/tlEd4rmyX2tufn8plW6dcLsW1ItT6dZZvqeEf3y3ge0FlQgBQ9vG8sjZnYi2KsRbFR4+vR1uw0RTfJ6leg+FKqgyBN+t2MeG/WV0TArnnK6JOASIk1AaWiJpKaSxIPldKIpgS15F0Oh3gK9W7uPcLon83vItduDhsztwxeuLArbfOiKTKYt2+W3bWViFTVMoqXLz+rwd3Dk0HTfw16/X8dPGA0saqiK4eVgGj57bicenra/fnhBu47aRmVh0o5GGQHNjmiY1pqDKY7KzqIoop4WEMBumiV/8hAOTt67pwxVvLKSs2n855U9ntCe7pNov+FEIuHd0O9rGhhyWm/9oIgyDHkmhfHnrIDblllNe46V1tJPlu4rrDYW6l3/d0pGqqVQZJpVuHYdVYdmWfO795IA2hGnC3M0FXLjzN6bdOYQwAUL3VRFFP2AMmapg1f4Kbp2yvP7+/Hb1fp75cTOvjOtFj8RQaTBIJEeINBYkzULjOfKh0XWDNtFOJo3rxePfrq+fSUeHWLltRCblNV7mByi1vD2/kqQIB58u3cMtw9L5309b/QwF8C1vTJqzjf9d3oP+GdHsLKhkbM8UxvdvQ6gCHk8Lv1SFwKUqPPDZahZsPzCmuFAbL4/rRZekAwGDum6S4NCYfudQfttWwPxtRSRH2rmoZwphVgXdhM63DGT+tkLC7Roj2sdjFz5xpWOB7jFwqAoz1+Uwf1shhRVuP+PyvtHtamNXTHRV4dftRfxr+kbyK1zMuHsoT07bELDfSrfOpDnb+NNpWQFzLWtM4Wco1F+PYXLblOXMvm940GqkEomkaaSxIDlsLBYVHWiXENZkbv353ZNwKgpe4/c5wHVF4aU529ieX8mj53UizK7htKoYJkz+ZRtb8ip49NxOdEgKw6ubuLw6Hy/ZQ3y4jZIqN1VuHZdu8uXy4IqCr87dxmsT+qBg4lQFXrfOsVjS9gjBPR+vZEltcGUd+RUuJrzpUyNsGKlQV6hqTFYMZ7SPAxPcbi94DRQgLcxKZu8UTLO2GNYxfidqusGfT2/Pb9sKee3XHewvq6ZtfBh3n5ZFu9gQFN1A0xQW7S7lvs98XoT2CWEYJo1SRBsyfW0Od4/K4mCNS4tF5Zs1OUHvSa9hMnN9Lpd0S5QxDBLJESCNBckhEapClQGfrdjHqr0lnNctmZuGZTBpTuO4hfgwG+d1Sz6i6o3lHp0pi3YD1M+248Js/OPCLlS5dZ68sAvPztzM49NKAF/63Q1DM+iSEsG+0hoy40KpcutBiywBbMwpR8HEqhsHF4ZsUcrceiNDoQ6X11eJ87bBbTAOyvLweo2AFa8Mw8T4ncZZc6N6dUZlRjMgPRoTsKkKhmmgGyZWzXdP/Wv6xvr9n76kK+U1TQeOmKYZMMVVUQSb85ouKb85txxFSTqSoUgkpzzSWJA0jaqwuaiaiW8vqX8Jz1yfy1MXdePR8zrx6pxt5JW7UBXB6Z0S+L8z2+Og6aA6IQSKIjAMoz4FzmJRmb66sUcgv9zF/tJqHjq7I5e+uoDqBrPCggo3T03fiFc3GNszhTEd43FYmk7cjw2xBSxq1JKoqsKGvYENhToW7Sjk+gFtfnfcx/GG12tgEwK3orBgZxFTFu2mxqNzWscELuyRTEK4jeySagZmxLBsVzFtYkKIcloorgpsNJzeORG7KjjYLtJ1ky5J4XzSxLV0SQlvsmCVRCIJjjQWJE3iQnDDe0v9ZuumCX/+YjUj2sXx6c0DMQ0TTRVYBaiGGTSoTlEVaoA9xdXsK6khIy6EuBArDuGbLVa5A2shbMurZM3eUj9DoSGvzNnG57cOIsqmYgK9WkexfHfgl/E1g9rg/H0lJo46pmkeUo0wwmFBVaDFUhmaEY+qcMsHy1ndIMtl1d5S3pi3nVfG9ebhqWu4oGcyr87ZRkZcKHed1pa/f7u+UT9Oq8rtI7MI5BLyenVGtI/Dpim4AnhebJrCyPbxcglCIjlCpIKjJCiqqrByT3HQwkdzNufz7vydRFoV7IaBohtB0+GEKthd7uaCSfO54vVF3PfZKi6cNJ/xby+hxOtzo49qHx/w2F5topi9KT9gG/gC39xeA1WADZP/XNyVmJDGL+MerSK4uOexLzRkGCaZcSGENFGS+4Yh6ViOdeDB70TTVFyKT9XTqyioqkDVVL5auc/PUKijrNrLP7/fwOQJvenTOorcMhezN+ZRWu3h6Yu70SbmQNTGwMwYPrtlIOFWhWAijXZMX4Gsg7xLNk3h7Yl9sZ9gn6dEcjwhPQuSoCiKYFdh0+qBOwor8R6GX7/aFIx7c1Ejw2NHQSUT3lrMpzf1JzXSTqekcNYfVDDIMM1DVrEsrfbw/sKd3Dosk0irwte3D+KHdbn8sD4Xm6Ywvn9ruiaHY9H14+KVYTNNnrmsO7dNWd5ILGpUhzi6JEegu1pI+OEPIoTAoyp8vnIf7y3cRVGlm64pETxwejtSoxy8s2Bn0GPX7SujqNLDun2ltEsIZdXeUp6ftYXebaK4+7S2xIbaUIRg1d4SIhwWFG8T359h0jbawax7hzF/WyEbc8ppnxjG4MwY7BydwlkSyamKNBYkQTEMI6Dmf0M6J4WjCUFwMWWwWBSmrsoJ6qHILqlme0EVHRJCmDyhN3//dh2zN+bVv0T3l1RzXvck3pq3M+DxUU4LXsPk82XZfLtqPx/fOIA2YVYu6prAOZ0SUITvRtd1w/eiURVqTKhwebFbVOyqwGqaLbuebZj0Sgrn+7uGMPmX7azcW0qU08oNQ9Pp2yaKCLtG6QliLHhUhZs+WMaaBhVGl+4q5orXFzH97qEUNZHdAODRDT5ZsodbRmRy/6e+zIhlu4pZ1iAA9MzOiVzaI+mQ8SZmrf7CmKwYzmgXh2EYeL3GcWEgSiQnMtJYkARF1006JIYRHWIN+MBXFcElvVPxHmId2GsKFu0sanKfFXuKWZtdyitzt3HNwDRuHJqBy2sQ4bAQF2ZFN0y+XrEvYFrdfWPa88FCn1iTy2vw4Beree+aPlg8BnWOfh2fWJFHVXl21ha+WpmNp7Ykde82Ufzn4q5EtkCZ6oYIwyDWovCX09sdkDUWEGo/cX6WmqYwb0eRn6HQkPnbCuicHMHKPSUB2y2qwKIqbMmroKTKzS3DM3ht7nY/b0vvNpE8em5HlMPwCimKwC0EZR6DSpeHSIcFm6qgNgimlUgkv58T56kkOSbYMfngun5c9eYiShpEqFtVhUnjehLSVNGFWjThS6lsikinlc+X7aWs2suLs7fy4uwDdSduHZ7BTYPa8OWtg3h+1mamrdmPRzfpnBzOzcMy2LC/nNkNRJi25lVQ7TU4ODHCoyj86cs1/LqlwG/7sl3FXPbaQr6+bXC9XHRLYZo+NUJr7R8nWvhdjQEf1Ka7BmLu5gLuG9OOq99aHLD9/O7JzNqQC8AT0zZw/ZB0PrppAFtzK6hy6wzIiCbWafEtH9XeZmpt2qVumqhC4FDA8BqoqqDQbXLPpytYt89nvAgBYzrG89h5nbE2EVMjkUiaRhoLkiYxatUDp90xmHX7yliTXUrraCeDMmJ8wjiHURLY69UZ378NHy3eE7BdUwQdk8KD1oR4f+FuxvVrTQgGD53ejvtOb8+Ogkp2F1Uxac42NuaUNzrGYxigHLAWhIAyl97IUKijoMLNrA25nN8p/qiXcT6ZMU2TmiCepdhQK7ePzGJNdgn3n96OF3/a6pdVc0anBC7okcKN7y2t3/bmvB28M38n3901hASbhq7rmPqBZQRdU/l85T7emLeDwko3oTaNcf1bM3FgGzzA5a//5ucFM02YuT6Pggo3L1/RA60FPUcSycmENBYkh8SoXQfumxxO/9QITDN4SeiAx9cGJ04clMY7BxVyEgKevrgbHy7a7ecmDndoXNIrld5ton2zQVFbsVI30BSFST9vZeGOwEsbIVaVUKvmZ8ioqsLiLcEzKgBmrM/lzA7xMkXod2BXFUa2j6ufyTdk/IA2vPzzVn7ZnM+lfVJ57/p+7CiopMaj0yExnGqPl29W7muU6mhRBeF2C16PfySMV1V44vsNfL8mp35bhcvL5LnbWbyziCcu6Bw0PmL57hIKqjwk2VW5HCGRHAHyuSg5bHTdwOPRmzQUhPAVBtIVBUVTUBRBfrXO+S/PIyXKweQJvTm9UwJdUsK5sEcKn98ykIEZ0fyw7sALYGjbWF6/ug/55S7+74vVPPzVWl75ZTvVQkFRfVUG/3Rm+4BKfgA3DcvAcdCdbZq+UtRNYdMUlGCdSgKie3Uu79OKUFvjeUe/9Gjm1hpony3dyxWvLWTSnK18sHAXE99ezD0fr+SMLgmNjrtzVBbhB/UnBJTWeP0MhYas2F3CnqJqWkcHL+e9ZGcRqiofeRLJkSB/OZKjhqkoFHlNnp2zjTs+XcU/Zm5hX7WXzbnl6Ab847sNPPLVWlpFOzmrSxIhNpUb3l2KIgRX9G0FQJsYJzcOzeCatxbz7er9lLu8lFZ7mLJoN+e9/Btluu/FnxJq5ZVxvfz0FGyawm0jMrm8d2ojmWRdN+iXFk1TGZgT+rdBlXHzvxungE9vGuCXOWNRBVZVaTSL31NUzbb8Slxeg7IaLxGOA99fXKiNx8/vzBV9WmNV/b8oTVP5cYN/cbCDmb42hwEZMUHbQwIYNBKJ5PCQvx7JUcFUFBbsLuGeT1fWvyCW7irmyxXZ3D4yk9tGZDKpVhr6zXk7/I7NLavhhiHpLN5RxNheKTz342ZqAlSBLK328N+Zm/jbWR1QdIO+KeF8c/sgSqq9eHSD2FArdgFmkKIPNgXuGtWW53/a0qitT5soOiaGtnhJ55MBQzdIdGi8NaE31V4Dl24QZtNA+Lw5wZQ3W0U7SI6wMef+4XgNE7um4FQEobbAHiDjEOsHhmEGNQYVAQPTY2Q8ikRyhEjPguSo4ALu/2xVwPXgl3/exqDMWJwNFAuFgEv7pPLhjf0xBZRUe3h1fG9Gd0xgRZA0O4AZ63Jx157D8BpYdYN4q0KKQ8OmG5hNvAwU3eCK3qm8Nr4XnZLCUQQkhNv4vzPb89IVPbAeRrCmJDC6bmAxDMIViLP4FD0dAq7q1yroMXeNakuIgBBMIhSwGQZ6EEPP69UZ1aGxwqemCK4e2IaPbhzADUPTubxvK567vAedk8P99rv/9HbY5NNOIjlipGdB8ofRNIW5mwqClgcGmLEuh1Ed4pm2ej8A/7qoK7sLq7j+naX1M8+YECt/v6Az1w1O463fdgbsRzfMQ84wm0LVdfokh/PG+F6YQmCaJk5FoDelDCg5IkyvwY1D0skuqWbGutz67UL45KyHZsYcdnVS04RYp4WhbWOZv60Qp0XFreu8eGUv5m7OZ+Lbi+sDJdNinPzt/M58tmQPOWUu7hl9oCz2wfhiGMwW1deQSE5EpLEg+V0I4asQaZiA6ZvxKYogu6S6yeMKKlxE1xZPOrtrIrmlNY1KXBdWurnjwxW8NqE3czbls72gslE/nZLC0RQBf+DhruuGXzVHufLQfKhenb+d05H7x7Rj8c5iLKpCv7Qo7IpA/Z01wm2YPHVRVwoq3GSXVJMZF8Lbv+3k4yX+Kbk7C6u45f1lfH/XUEJUgVX4FzcTArBoVHkMlu0sxqopdEuJwIZPKEsikTRGOuYkQRGagltVcKkKXlVB11RyanT+PXsrD03bwMwtBbhUFdM06dUqssm+ereJom9aFFnxoVzRt3VQzwH4qkhe1b91wLa/nNUB+x8Yk6Tl0XSDSFVwdvtYxmRFE4KJ+jtfyqoqKNXhlg+Wc8HLv3H7h8spqfbw2bK9Afd3eQ1e/3U7muLLoLVYVCwWFY+qsLfKyzdrcli0s4i4MDufLd3LyGd+4dNV+9DVpjNmJJJTFelZkDRCVQWVpmDynO18vnwvNR6DSeN68tvWQqY0UOubvjaHKKeFj28aQKekcOJCbeRXuBr157CodEuJ4KXZW7l6YBsinRZKq4PXPVixp4R/XdSVcLtGWY0v1z421MrfzutEu1inDEI8QfkjwYXVCK56YyH7S2sAXwnvvDIXehNLX79uKeC2EZkUVLhZuruYCIeVtvGhfLp0T703IsSq8s+LuhLusPDfmZvJjAtlQGq4DISUSA5CGguSRlSjcOnkBeSU+R7MGbEhVHsMP0OhjuIqD7d8sJyPr+/HlBv6cc3bS+of6ACRTguvjOvNi7O3Mm9rAb9uLeDDG/s3eX6bphDhsDD9riGU1ngRQLhdwyE45uWlJS2Pqiqszi7zu6/cXgP7IXQzHFaVpbuKua+2OBX46pk8cHo7bh+Zxcs/b6XSrXP/p6uYckN/Zq7P4dkfN/PuNX38lqkkEok0FiQHoWgKHy/eQ155Ded1S2Jsr1SiQyzoBtw7ph1TFu4ir9zfe7CjoJLCag+Jdo3PbxpAdmkNW/IqaBXtICs2lI+X7WHe1gMyyzsLKgOWoq7j4l6phNlUqiu8xNUVeNCNE65uguToIGwaP23011iocutoiiDSafGrWdKQC3skM3VFtt823TB5esYmXr+6D/FhNvLKXXgNk69X7uPsrkl8uTwbQ+pySSSNkDELknpUTaXSgPS4ED67eSBpMSHc8/EKLnx5Ppe8Op8lO4p48cqedExqXLa6oNyFYZhYDYOMcBtnt4+lc4wTpwIOzX8G+NZvO/nTme2xaY1vv7gwG7eNzMQqlfYkgKkpfLViX0BBpXcX7OQvZ3UMqOSZGRdCz9ZRzNta4DNa40P9FDynLNrFJb1T6/9ev7+MNjEhhDs0hEyMkEgaIZ/IEhRF4NFUPl+9n+veXcpzszbz5fJshrWPo0tKBOBLXZu3tYDbP1zO38/v0kj8JjHCXl/Rr652hGGYeDw653RN8mUw1LI1r4J3ftvJe9f34/zuyUQ5LSSE27h1eAZTbx1IQqgViQTAZcDzP23htAAaC3M25bM2u5Q3r+nLsLaxOCwqCeE27h3dljev6csPa3P48IYB3DGyLVf2a8XrV/fhsfM7E27X2JJbQWrUAWno2FArZdUexvdvg6MpmU+J5BRFLkNIqBEKV72xiF2FVfXbpizezdSV2bw6vje5ZS625VcAvuqMc7fkM7JDPD/Vyu92SQkn1KIGrUDpUExeGdeLW6csr9dimLM5nzXZpXxwfT/+dHo7MMGhCgyvLgv9SOopqvRQWu1h3b5SLuvTik+X+qdJvr9wF7GhFp4a27VefyNEgWKPSXpciJ/+AsCgzBhendCbl2dvo6TKV3SqfUIYd4zMYt2+Mk7vFI/u8i9gJZFIpLFwyqNoCu8u2OVnKNRR5dZ5avpGrh+SxkNT19Zv/3ljHud2S+KnDXm0jnby8pW9sGESNPRQN+meFMrs+4czc30um3PK6ZwczqgO8dgx640MQz6jJQcRUiv9/N+Zm3nigi70TYvio8W72V1URevoECYMbE2/tGgsDTQbDAQl1R7+/u36Rv3N31ZIiE3j3jFteWr6Bl6b0JtKt5fnZ23BrRsIYHi7OByYMutGImlAsxoLlZWVPPfcc8yYMYOysjKysrK4/fbbOe2005o8btSoUWRnZwdsS09PZ8aMGfV/t2/fPuB+jz32GFdeeeWRX/wpQo0BHy9pnOVQx/r9ZaTFhvht0xRBh8RwPriuH+mxIdhN35JDUwjdxIHJJV0TUbon1S9RNERRBB4hyKtw4zVMLIqCU/ljKXeSExuHRSEjNoTtBZU8NHUNbeNDubh3KnFhNvLKatB1E6cwaWhneoTg+Z82B+1z1oZc/nxmex45tzOPfLWW1dml9W3ztxWSGG7nk5sGEKqIQ97XEsmpQrMaC3fccQfr16/ngQceIDU1lalTp3LHHXfw6quvMnz48KDHvfTSS7jd/nXpN2/ezCOPPMLo0aMb7X/22WdzzTXX+G1r1Sq4Jr2kAQLKa5qe0nsPUku8tE8r+qaG4XLpGLoe3KMQgIMNhDoURVDoMXjs2/XM31YIQGqUgz+f0Z6+rSNR5SzvlMQB/O/yHlz++kKq3Dpb8ip4avpGALqnRvDKuN64DcMv+MprmqzLDpxpA774G8Mw+XF9rp+hUEdOWQ2PfL2Wf4/tIquQSiS1NJux8MsvvzB//nxeeuklxowZA8CAAQPYs2cPTz31VJPGQqdOnRptmzZtGgAXX3xxo7bY2Fh69OhxdC78FEMBeraKZPnukoDtTqvqF23eJsbJqPZxFLsM3LqJTVWwKzRZwOlQCAFlBoydNJ9K9wFjYm9xNXd+vJJ/je3C6e1iG5Wdlpz86LpBcojG9LuG8tHi3fyyJR+nVeO87smkRjk476VfGZQZy0NndUCrXYoQCKJDrBRWuoP2a7OovL9wV9D2X7cW4DJMnEH3kEhOLZotG+LHH38kLCzMb8lBCMHYsWPZvn07W7duPey+3G433377Lb179yY9Pb05LveUxYbJg2cEXsoBGNe/Nd+s2ofdojC+f2um3NCfDxfvZvRzcznt2bmMef5XXpy7A6+mBkxhOyxUlVd+2eZnKDTkqRmbqJYTvFMWQzdxmgZXD2zDxb1SGdE+ji+X7+WGd5dSWOnh29X7eezb9ei16bZOBa4bnBa0vzYxToQQTaqImiZ+gZESyalOsxkLW7ZsISsrC0XxP0VdjMHmzcHXFA9m1qxZlJSUBPQqAHz99dd069aNrl27cumll/L9998f+YWfYui6SUakg2cv7UZYg1x2TRFMHNiGawenc+eILGbdO4w7R2Zy/6creennbfUP0mqPzrsLdnH3Jytx137XiiLQNAXlMFPQagyTGetygraXVnvqZZ8lpyZCU5k8dztPfreBZ2ZuZvVe/+WDH9bnUuX1WZRer8GIdnEMzIhu1I/TqvL6hD6YhklaTHC/gU1T/HQZJJJTnWZbhigpKSEtLa3R9oiIiPr2w+WLL77A6XRy1llnNWo777zzGD58OElJSeTl5fHRRx9x7733kp+f3yiO4fcgBEREOI74+D+CViti1JLnP7NzIgMzY9lXWo3LY9AmxkmYTcXeQFBpxd5SFu0oDnj84p3F5Fa4SYm0s7Wgik055aRGOeiYFE6kXUNtwnAorPIgaNqwUBRxzL6PluZYfP/HE4HGX1LjYd7WwiaP215QybCsmPq//3dFT1bvLeGt33ZS6fIyrF0cl/dphcOqsGJ3CRMHp/PYN+sC9nV531ZEOS3HRBxMfv9y/HBsxt+Ud7hZAxxFE2duqq0hOTk5zJ8/n4suugins/FM4L///a/f32eeeSYTJkzg+eef5/LLL8dulzUKD4dyl87m3HK+XpWNEIKzOifRNSUCe+0doiiCr1YGzlCp4+uV+3B5dD5qUDI4zKbxxjV96Joc7ifM1JAwm8rZXRP5aPGegO1RTguRDqnWfyqjCEGYvenH1cHtkXaN4W1j6dMmCq9hEmJVUYUgt8LN8z9tYVz/NlwzKI33Fuz00/YY2T6em4dlSBVRiaQBzWYsREZGBvQelJb63Id1HoZD8eWXX2IYRtAliINRFIXzzz+fpUuXsnnzZrp163bY19wQ04TS0uojOvaPUmdRttT5PZrKTe8vY+2+AxHkXyzLpm18KO9M7EuICigKnZPDsWlK0LVcwzAbBZWVu7xc/dZiZt4zDKcZ+Dgh4JZhmUxbtZ/yAII4D5/dEYthHLPvo6Vp6e//eCPQ+DVN4eoBrVm5pyTgMWE2jZRIe5OfWUWNL0bBVBT2ldTw0NQ13Dwsg49vGsDK3SV4dJOerSPZlFPO/tJqrN5jU41Efv9y/HBsxh8TExrUu9BspnNWVhbbtm3DOEjVry5WoV27dofswzRNpk6dSkZGBr169Trsc9ed8+B4CUljhKby+q87/AyFOrbkVfD8T1uYv6uE+79cw97iat69rh+X9w2cljqsfRxLdzVepnB5Db5elY0WZA3YNCFUgam3DWJU+7j6mzUjNoTXxvdmSEa0zIQ4xfF6DQakx9CrdWSjNiHg35d043B9iBZFkB4bgmnCq79sZ9zri/hm1T5mrs/hxveW8vi09USH2I7q9UskJzrN9jYdM2YMZWVlzJ4922/7V199RXp6OllZWYfsY/HixezevfuwvQrgMxS+/fZbQkJCaNu27e++7lONGsPkk6WB3f/gW1oItVv4aUMer/6ynateX0i3lAgu7pXit9/QrBgKKlwUBUlXW7G7FG8TOs6GbhClCf51QWfm/Wkkcx8cwfvX9qVvSpjUWJAAYDV0Xr6yJ09e0Jms+FDiQm2M6ZTAt7cPpndyOOZh3id2DO4adeD54zVM1u0rY/XeUqrcOv3So3Gqsj6ERNKQZluGGD58OP379+fhhx+mpKSE1NRUvvrqK5YtW8akSZPq95swYQKLFy9m06ZNjfr44osv0DSNCy+8MOA53nzzTXbs2MGAAQOIi4ujoKCAjz76iGXLlvHoo49is8nZwaHwGiZVQVIWAdwHPYANEx75ei2f3DSQr1buI8SmMr5/Gy7r04qzX/g1aD/JkXY0IWgqp8EwTBRM4hq44aRDQVKHaYLm1TmnQxwj28ZiIrAooBomZpC6JIHwek06xIdy16gsXpjtn8KdGRfKs5d2RzMMKcckkTSg2YwFIQSTJk3i2Wef5bnnnquXe37ppZcYNWrUIY+vqKhg5syZDBs2jNjY2ID7pKen89NPPzFr1izKy8txOBx07tyZV1555bDOIfGlSEaHWIN6BEJtWn3xpzoME5buKmLqbYPILath1vpcVAX0JqRxx/VvjX6M1oAlJxder4GvLqkJOkf0Ule8Olf1TmVszxRmbcilpNrD0KxYWkc5sJlGfVEqiUTiQ5im/FUEwjBMCgsrjsm5WzLARdUUPlq5n//80NizA3Dt4DSKKz2NMiEu7Z1KjUfn29X7AZh5z1B2FlRx64fLGxkN945uy+W9Ug57OUEGOMnxw+8bvxAccbVSS20sja4fusZJSyC/fzl+OHYBjsH0cWTVyVMc3WtwcY9kNuwvY1rti7+OEe3iGNY2jpveX9rouMz4UGauy63/262b7Cmp4stbB/HVymzW7ysjNcrBxEFpxDksMu5ActQRAryKQo1hUlDuItxuIcSq4hA0WTFSCDAVlRrTxO01sOkmDlk0SiJpEmksSFC9On89sz13jcpi9sZ8DNNgZIcElu0q5tYpy/AcVEjKYVHp0SqyvqBP62gnW/MqeGLaBuwWhTM6JzK+f2sGpEcjPN7ftZ4skRwOQoBbVXnk67X8tDG/fntGbAgvXtmTBIcWMOBRUQQ1QuE/Mzfx3Zr9eHSTMJvGNYPaML5fa1S5VCaRBETmFkoAUHWDaE1wRY8kruqZQoJdpUNiGNpB6aehNo0XruzJS7WBYYqAB89oz7vzdwJQ4zH4euU+7vx4Jauzy2T6qqRZ8CgKd3+y0s9QAJ+K4xWvLSSYA9clFCa8tZivVu6rN4LLXV5e+nkbj3+/AV1T0VWlXkVPIpH4kJ4FST2m6V9COj3cyoy7hrAqu5QteRVkxYWSGu3gPzM28du2QvqmRXHL8ExmrMthRQCxnEm/bOOly7rLm0xyVBECiqu9LNkZWHq83OXl65X7uKpXCnqD+1nTFBbuKmZ7QWXA475fk8N1g9N5afZW+qVHc163JJzCl9YrkZzqyOe4JCiGbmLDZGBqBINbR2KaJh7g6Yu7ggkVbp2b3l/G7qKqgMfnlNagm6a8ySRHFVVVWLW3qMl9ftmcz8Xdk/3uPS/w5Yp9TR7329YCymq8/PuHTUyas42PbxpAskNrMgZCIjkVkD5iySHRdQOPR8frNRBeA5tuYDMMVEFQQwEgMz4Ey2FWnpRIDhfThHB707VCQmwa2kFPNwEEWxWzqgpDsmLJig8lI85JZlwIITaVW6csk+XRJRKkZ0HyB4h0WHj5qp6E2S0YpsnPm/L5ctne+voOd4zMQjNN5JxMcjTRdYPuqRFYVaWRaFgd1w5KQzVNGoYrKiZc2iuVnzbk+e17/ZB0xnRKYMmOIsIdFiYMSGNgRjlWTSXSaaFGN7BKm1dyiiONBcnvQtMUqgxAwOb9Zbzw01Y25ZZjVRXO6prIW9f25eGpa7i4VyqtI+xyvVfSLFiBv53XiYe/WtuobXi7ONrFhTRaOtB1g24pEXRIDGNjTjkA945ph24Y3DZlOa+M78XT0zexfPeBWIgwm8Yzl3WnZ1IYyHtZcgojRZmCcKqIMh0uQgg8qsIP63PZWVhFq2gnT0xb32i/+DAbX9w6CKtpohxhyuTxOP6WRI7/8MZvqAp7Sl28MHsL6/eXERtq4/oh6QzNjAmaAimEwK0qTJ67nZ835fPIuZ248b2lPHZ+Z75bvS9g0KSqCKbfNYRoTRyx8NPvQX7/cvwgRZkkJygeVeH695axfn8Z713Xj9unLA+4X165i8+W7mFi31Q5EZM0K4pukB5u5d9ju+A1TRTAoQi8TWglmKaJxatz17AMbhmWwaPfriM+zEbftCge+2ZdwGN0w+T1X3fwp9OyEIaBqSrUGODVTSyqIOQQ55RITgaksSDxQ7MoVOngMUw0RWBTfDfJt+tyWL+/DIdFxeXV6+MSAjF1ZTaX9UpBlvGSNDeGYaJiUqeKcHAdk6DHeXV0IdhZUMULV/RgXYAS7Q1ZsacEtwmmUHj2xy18u8qn0xAXauP2kZmc2SlBCjpJTmqksSCpR9dUftiQx0s/byOnrAarqnBBj2TuOq1tfVCYIg79QPbqcmVLcvxjVQSnd4pn9d5SWsU4m9w3OsSKoipcOnkBe4sPuIfzK1w89u16dhdVcfOgtCNeepNIjndk6qQEAENReGv+Tv769TpyymoAX3nqz5bt5ao3FnLnaW0BqHTrRDmt2A7OS2vAGZ0ScKjy1pIc36imyYU9U/lw8W6sqkJ0iDXovhf3SmV/aQ2togMbFe/M30mNtJElJzHyiX6KIwSgKdSY8Ma8HQH32VNUzbrsUvqnRwPw9cpsJg5KC7hvqE3j2sHpGNIlKznOMQwTu6ZQVOnm9V+384+xXbAGMHLHdEzAYVW45q3F3Do8M3BfJqzeW4IqjWTJSYq8s09hDFUhz23w+ar9LN1VTFOrC9+vzWFwVgwAHy/ZQ3pcCPef3s5vNta7TRRf3DKQUHlXSU4QLECXlAgWbi/i65X7eP+GflzVrzWdk8MZnBXDM5d25//O7sCfPl9NucvL/tIa0oIsWci8MsnJjIxZOEUxFcHSPaUYQGZcKGU1nqb3N01O65DAewt2UVDh5v++WMMZnRN4bUJvIhwWLIrApgismFJbQXLCYMHkvtFtmb+tkBlrc5izKY9zuiZxbrckKlw66/aVsi2/ghqP757eV1JNdIiNnYX+yqVCQPdWEVIWWnLSIo2FUxQ3AqtFYd2+MgZkxJAc6UCI4LOjC7onkxpq5etbB1FY5aHS7SUlwoFdAaEbgAmGVGuUnFgYhkmrcDv/vrgrj36zjhqPwRfLswEY0T6O64ekc9N7y+r3z4oP5fNlexv1c/WANtgVATK4V3KSIo2FU4A61UW34ctFt2kKOSU1uL0GWXGhjH9jETcPz+TS3q34dOmeRscnRdgZ0ykBt9uLFUiyqwiHimkaIEMTJCc4imEwMjOaWfcOY1NuBXuKq2mfEMbafaXc8v4ykiPt2C0qGbEhdG8VyWPnd2LOxjymrtyHw6Jyy/AMzuuahCLjdCQnMdJYOMkxFMHKnAqe/H4D2/J9pXl7torkb+d1ok2Mk6teX4TXMHn1l208f3kPEiNsfLBwN0WVblRFcHqnBP5yZgfspuFnF8j1WclJRW2F1e5JoVgUwQ3vLeHCHil8dNMA9hRVkxEbwrLdxdz6wTIqXF4GZ8bwzR1DcFoV7OBXClsiORmRcs9BOFHlnoUQ6IrAY/o0EfaVurj0tQWNXu5WVeHzWwdy43tLyS1zAb79x3RK4OJeqdgtKiE2ldQIO6pXb1HjQMq9yvHDsRu/0BRqTEF2STXLdxczumMC93yyspFwk01TmDyhN12SwjCbECn7vRzr8R9r5Pil3LOkmTEVhdxqD//7aQtLdxUTZrcwtmcKH1zfn3s+Xkl+hat+X7du8MzMzVzVrzXPzdoC+NK/fliXyw/rcgHokhLOa1f1QpHmpOQUQVEElTpc994StuZVMKxtLC6vEVDh0eU1+OtXa3llXC9SQyx4vTJiR3LyIpPcThIUVWFVTjnnv/wbP27Io7jKw+6iKv730xaemLaeZy/v3uiYuVvy6dk6ym+baGBU9mwVhS2IlSmRnIy4hOD695ayNc/nVTyraxJTV2QH3X9vcTUVLq+vEqtEchIjPQsnCTUm/OmL1QG1EjbmlLN+Xxn3jG5LQbmLvSXV/LqlANM0sWkKcWE2rh+cTs82kdS4dexWlWU7izm7S6IUV5KcMggB+RVutuQdWH50WlVKq5tOK65weUHa1JKTHGksnAQIAXkVboqrAj/UbhiaTs/WUcxYu5/8ChedkyO4dUQmi7YVkhbr5LUJvXl6xkaemrGx/pghWTGc1z0JxfTFbzQ8l4xykZyMKIrCptxyv21b8iro2SqKnzflBTxGVQStopyY+EpfWwRYhcAwTKm5IDmpkMsQJwWCSnfgAKsbh2YQ5bRy2eQFfLZ0LwnhdrqnRlBR42VM50QwTe7+eCULtxf5HTdvayET316CSygIAbqqUCUUtpa6yHcbuFUFVZXTKcnJg2maxIX510r9ZMkeJg5q47c815ALeySzbl8ZV72xiOV7SlifV8mnq3OYs7OYGkXBVOQjVnJyID0LJwGmadI6yoki8FuGCLGqjGgfx7g3FtGzVSQPndORDxft5p5PVqIbJiPax3H/mPZkxYeyu6iqUb/b8ivZXlBJu4RQ/vbNOmauz633KiRH2Hnhyp6khdsw5QxKchJgGCZt48MIs2n1Jdjzy13MXJ/L0xd348nv1lNW7dsuBJzXLYkLeqTw8NQ1PHNZD/761Ro25x5YwrCogn9c2IXhGTGyGqXkhEemTgbhREudNFSF//y01U9d7sIeKTisCj+sy+WV8b248d2llNX4eyBsmsIb1/ThsW/W1eswNOSagW2IC7Px35mbG7XZNIUf7h5KCEf3FpKpU3L8cGzG71ZVVuwp4d5PV+JpoMY4sn08d52WhVs3qHLptIp2sHpvKX/5cg1/PacTXyzfy8o9JQH7/Ob2wSQ7NA73USu/fzl+OP5SJ6WP7CRB0Q3uH9OWS3qnoNV+2TGhVvaX1HBZn1TemrejkaEAvvSvf8/YxNUD0wL2G2rTWL67JGCby2vw3sJdKE2Uq5ZITiSqPTrT1+bwwfX9GT+gDb1aR3FG5wQmDm5DXrmLO6Ysp21cKA5N5YHPVgGQHhsS1FAAmDRnG4bMKpKc4MhliJMIr24SE2Jjyo39URA4rSo/b85jZPt4/jdrC+EOrd6N2pA12aX831kdAvZ5RpdE3pm/M+g5528r5PqBbbAG3UMiOXGwawq/bStg1oZczuySyNC2sZTVePjT56vJLXORFR+KRRW4DZN3ru3H/tLqoPFCdWzIKcNtmNia3EsiOb6RxsJJhNtrMHnudibP3c7LV/XEYVXp2SqKT5fsITnSwf8u78nuoir++f0GXAcJyOgBci4v7pWCYZpUuoOnT4baNBSZIiE5SXAqcPOwDJ6esYmvV+7za0uNcjB5Qm9e/XU7ny7ZQ6Vbp0tKOPeNacfdp7Xlfz9tCdhnQrgdTf5GJCc40lg4ibBpCskRdpKjHLSOCeEvX6xmbQPluXfm72R0x3heuLInt3ywrP7ZlRhuJy7MRtv4UPYUV5EWE8LVA9tg01TKa7yEWNWgBsO1g9KwKyDF6yQnA7rXYGz3ZPLLXby7YFe9EW3TFN68pg/Xvr3ELxh4bXYZ172zlL+e05FzuyUxbfX+Rn3ePDQdqzhQc00IsFg0hACvV0eXlSolJwDSWDgJEEJgsagIIXjxyp6Uu7y8Pne7n6FQx6wNeXRLjWRoVixztxQAcOdpWSSHWXnnmt6YCEzgye838sO6HMZ0SuCv53bioalrGk2M+qdH0atVJF4p3NQsCCFwqjVYzRoA3MJOlW4/7EA5yZGhenVuHpzGxEFpbMopR1MEnZLD+WbVvoBZQwDP/biZ16/u08hYGNsjhfZJ4bgNExXwqgoFlR6+mL+bKpeXs7om0T4+BJtp+umZSCR1CCHQNAXTNI+ppLg0Fk5ghBC4FUFOuYvfthYiBPRNiyYuzMb3axrPcOqYsmgXD5/dkTXZpdw6IgvdMCmv8WIzTcBE0VSSwn0rrD+uzyUh3M671/bj/YW7WL23hCinlYmD0hjeNhaLrh/lXAgJgDA8ROnZKLP+jtg0HQC13RnYRj1GhSUJty6DSpsTRTdwAL0SQwGo8eh8unRv0P0r3TqKgEfP7cTsjXlEOCyc1z2ZggoXo56Zw7WD0pk4KI1/fr+BbxsYFJ8u20tGbAjvXtsXh0AagpJ6hBCEq+WoFdmIHb+ALQwzaww1IpQq3d7i1yONhRMUIcClKtzywTLWZPt7EL68dRDeJmYpuWUuOiVH8N9Lu/Pxkj3sL61mdLu4+jVVw6szcXA6nyzdS7VH54OFu5ixdj+X9E7l9E4JRIdY6ZkSju7ySkOhmdBKtiPeGAXemvptYtN01G2zCb3uJ0ps6XIm2gLUfcamEHgOoSfi1g0cVoWOSeFUu708+vVa8sp9xdtW7ilh1oZcP0Ohju0FlTzyzTqeuqAzqlySkNQSqZaifnoVYv/KAxuFwDHsz6g9rqfc62jR65HTkxMUXVF47Jt1jQwFgBqvjtpEqlZcmI2N+8u4/t2l/Lg+l+sGpeM46E4IVUw+vXkA7RJ8M6uCCjdv/7aTDfvL6JwYhn4US/JK/FHdpTD9T36GQj1eF+qMB3GKxpoYkubDoQpGd0wI2q4pgrSYEB77Zj2v/7qdDxbtrjcUAC7pncob83YEPf6Xzfm4pPEnqUX1lKN+f4+/oQBgmii/PIU1fxWq2rKvb+lZOEGpMUxmbQysVz93cz5ndErg+7U5Aduv6teaz5f7XKoDM6IZmBHdKO7A1E1SnBbeuboP1bqB22sQatNwKGDKGIVmRXgqEbvmBd9h9wIsZjXgbLFrOtUxvAZXD2jDx0v2+ApHHcT4gW0QQnD9kHQ+XrKHokq3X3tcmI09QeIdwOfUq3brOC1y/iYBxV2G2Ppj8PZf/oXjog+pIKTlrqnFziQ5qlS49KCZWB8u2s3Ewem0Twhr1DaifRz90qOpdnt5+aqePHtJNyx64Je/rhtYDINwAbEWBbthYMq0h+bHPPRnLA5jH8nRJdwq+PyWgXRPjajfFmrTuGNUJlf0aUVOaQ2tY5xMHt+bzDj/h3humYs2McEf7EKA0yrnbpJaqoubTrUt2IwmWta7K+/OExSnVQ3aVlbj5ekZG3nuiu5sya3gt60F2DSVi3ulkBBmw9ANnr+kOzbhMwik8/M4Q3NAfEfI2xC4PbYdXsV+IBdP0qwIVaHahC9X7Gdzbjm3jcwiPTYEr25QWOlm6opszn7hV4QQXNI7ldgQG/8Y25UrX19Y/7z/bOkerh+Sxl+/WhfwHKPax2NTkN+pxIet8UTPj/BkDFMuQ0gOA7sq6NU6MqgU8zldE/n7N+tpHe1kXP/WJITbsHiNA0sIpimfS8cpuiMGcca/EO9fGLDdOP2fVIkIQHoXmhtVFeyv9nLFawvri0t9sTwbgLO6JDKmUwJf1v6NafLJkj2E2jT6pkUxODOWeVt96cm6aXJah3hW9CqpP76OtvGh/P38zqiGzCyS+DCs4ajJPWHfisDtA++mSomAFixQJpchTlCspskzl3YnPqyxiOyI9nEMzorlvjHtGJgZw9VvLcarmzIt6wTBNEFP7IlxxccQ2fpAQ0QrjMs/pDq25zHNtz6VqDYFN3+wrN5QaMj0tTm4daPRct9Hi3cTHWLjwh7JnNYxnreu6cPLV/TA4tV5YHRbpt81hFuGZzBhQBumXN+Pdyf2xWEaUuBRUo9ui0If+waExjdqMzucizfjtBZ/BkjPwgmKYZg4rSovXtWTddllLNheiMOiclbXRMprvFw46TfentiPR75ay+mdE7ALWcjmRMKwhFKRMAzn1TNQvb7MB10LoUpE4pGGQotRXO1hb3Hw6n+fLtnDhT2TeXrGpvptVW4d3TAZlBHN8MxoVPPAcp+mG8RZFW4d1AYQeL06hq5LH5GkEaVqEuHXz0HZPhtl0zRMWxhG7xvwRqRR5mm5wMY6pLFwgiKEYE9RDZdPXkjPVpF0SYnArRv8/Zv15JT5Uu6+WL6XG4akc3nfVggpnnTC4fEalBIOIty3QQe59NByCCEoPiir4WByy1xEOBqXUYtwWHAIfLM/VcGtKFR6dFxeg0iHBQxTZhWdYqiqUqvECB6P95CeJF03KCYcLeNiLBnnYQoVty4wvMfmSS6NhRMUVRVszS8HYMWeElYEKJG7La+Ce0a1xapLF+eJiqIINE0FTNxNFPSSHH1M0yQpsmnhm3YJYewt9k+J7JoSQYRD86Ujq4KNRdU8+Plqskt8HgqbpjBxUBrXDmyDKg2Gkx5FEYQrpai5qxEbp4EtHKPHVXhs8ZTrh05/9np1vNQFtB+7B7k0Fk5QDMMk+RAPsuRIBzYpIXvCEqmVoxRuQtk8HdMejtn5EtyWKCoO4wEjOTqEaAp92kSxdFdxwPbxA1rzly/X1P8datN4+uJuODHRhaDAZfhihhoILrlqq8OaJtw0qI30MJzEKIogkkLU986H4p3129VFkxA9xhM+/FHKvCfG71kGOJ6gGIZJRmwIkU5L0H1uGJIOh5ColRyfWKr2Y/ngXNQPLkQsnowy9z+or/THNv/fhGvBxX0kRxeLafL8Zd3pkOgfxKgpgicu6IwiBFFOK+mxIVwzsA3f3TWEBIeK12ugK4L//bQlqPT6uwt2UiMN+ZMap6hE/eYWP0OhDmXlB1j2zEPTTozXcLN6FiorK3nuueeYMWMGZWVlZGVlcfvtt3Paaac1edyLL77ISy+91Gh7bGwsv/32W6Pt7733HlOmTCE7O5vExEQuv/xyrr/+ehTlxPgSjhQ78MbVfRj/5iJqPP5GwZ0js0gMtWJKY+GEQ3WXwte3Q+G2Rm3K0jfQ0oaipYyRGREtgGmaOAS8dXVv9pW5+HVLAeEOjS7JEXy+fC8z1+dyWd9UNEWhwuXBLnxqjwAeAxZsLwzat8trUFjhJtkhHbwnK1ajEnbND9qu/PYMjssHUU5oC17VkdGsd+kdd9zB+vXreeCBB0hNTWXq1KnccccdvPrqqwwfPvyQx7/99ts4nQdcNBZL41n0pEmTePHFF7nlllsYMGAAK1as4Pnnn6e0tJQHHnjgqI7neMPUDdLCbcy8Zxjfr9nPkl3FJIbbGd+/NZE2DVUaCickirvcV2UuCOq8/+K8YhCmamDRK0B3Y1rDqBZh1HiDi3VJjgzDMLFgkhJuY2NOGXuKqnnyuw31cUC/1pZ6f/+6fmim6ReC6rSolOAJ2rfVIr+vkxpX49o9fhTvQj1BFG+azVj45ZdfmD9/Pi+99BJjxowBYMCAAezZs4ennnrqsIyFLl26EB4eHrS9uLiYV199lXHjxnH33XcD0L9/f6qrq3njjTcYP348iYmJR2dAxylmbSndK3okcUn3ZDThC4gxW1CsQ3KUqSltut0Zh7UmF/H17bB/lW+bxUlI3xux9buN0mOQVnUqYMPkrlFt/ZQZ67h6YGuyYp0YDQx0pwqX9WnF8z9tCdhfYridcKvaosI6khbGFtF0e3Q6OieGwdhsfvoff/yRsLAwvyUHIQRjx45l+/btbN269Q+f49dff8XlcjF27Fi/7WPHjsXr9fLTTz/94XOcKHg8PnVGjyd4zQjJCYI9uIGMZoNRDyPePuuAoQDgqUKZ/z+0X58iRHMFP15yxOi6SaJD4/u7hvL38zoxplMCV/Rtxbd3DObWoRloB3nydK/BpX1SaR3dOIBNVQRPX9y1UbVXycmFWwnBTBsWtF0f8gDVoonfexA0TSFMqSBCKSVUrUJVm19Hp9lu1S1btpCVldUobqB9+/YAbN68+ZB9nH322XTs2JEhQ4bw17/+lcJC//W/LVu2IISgbdu2ftvT0tKw2+1s2RLYopdIjmcMaxi0GRS4sdMFmGu/AFd5wGZl+bvYDFm+urkwdAObrnNB5wT+dV4n/u+0LJLsaiNDoQ67YfDRDf25+7QsEsJthNk0RndM4NvbB9MxNgRdxp2c1FQaTozzX4aYzEZtRu/r8KYM/N2xR+FaJeHZM7F/fjnWt4bj+OpqIoqWEKoFFw87GjTbMkRJSQlpaWmNtkdERNS3B6NVq1bcd999dOzYEYvFwvLly3njjTdYsGABX375pV8fDocDq7WxKEp4eHiT5zgUQkBERNOpiUebOpFFVfW5pVr6/McLPl2BU3f8QgvFHDsZ8c65ULLLr83sPBbx49+CH2waKEWbiWgzspmvsvk4mb5/l9egxqUzvF0cYzolEmbXcGiKT5gpCCfT+I+Ek238OsmIa75D5G+Ejd/5PIddL8N0xiGsEUQAiukB3YNpcTT5/FddxSgzH0Gs+fTAxsoC1A8uxD7yYSx9bsSwHKIIVRM0JfTbrAGOookzN9V24YUX+v09cOBAevTowXXXXceUKVO47bbb/vD5jycqPTrlNV7mbyvE5TUYkBFDbKiVsCYqS0pObszwVpjXzUTsXwFF2yG2HUSlYVqcCM3e9MGHape0CJVunWlr9vPEtA24G3geRnWI418XdSPKLrMgThW89jhoFYdo7VuSqNO+UV0lKKW7YPFkRGUBZsYI6HIRZkgC0Pj9pZTu8TcUGiDm/BO162V/yFhoima7WyMjIwPO7EtLfcFbdd6Bw2Xw4MHExcWxcuVKv3NUV1fjdrsbeRfKysp+9zkaYppQWtq8bh0AXVV4d9FuXq0VaaljeLs4nhrbBe0UFGyps6hb4vM/Hqkbf4U3jIiEbojcDSg/PgKmgTnoHsye4xHT/xT4YGsIemT6Cf3ZnQzfv6oKNhbV8MjXjUtSz96Yz1PTN/CXMe0QAZYvTobx/xFOlfGHa1WIX/+JWP5O/Tax7Sf45WmY+B2V9iy8uu+lIARYLQLL0jeDd2iamJumU9XxGjyeI3tvxMSEBvUuNFvMQlZWFtu2bcM4KNK3LlahXbt2v7tP0zT9YiCysrIwTbNRbMKuXbuoqalpFMtwvKFpCot3l/DKL9sbBSX+sjmf52dvBVVGQJ2KKAIiKUB98zSU2X+HvA2Qvwnl61sR8Z0gNvC9bZz+L6rM4z9n+2THZQqe/TF4XNY3q/bjkoHIpyyKItAK1qE0MBTqcVcgPr6SUFFKuFpBtLmPqIq1hJqliJqSpjuuDqw0ejRotjfRmDFjKCsrY/bs2X7bv/rqK9LT08nKyvpd/c2bN4+CggK6d+9ev23YsGFYrVa+/vprv32nTp2KpmmMGjXqyAfQAlQZ8L+fgmeFTF2eTY18oJwyKIogUivDsnM26rpPET/9Hcr3N95x6s2YY1/DHHIvOKJ8046UXugTvqEm42xculy+aglMVaFGUdhT5aHQa+JWlfqodB1Yty94jr1umJRWB9dfkJycqKpCuFpBlJmDarHBZe9DZgCRwrJ9aBXZ2KZegzqpH+o7Z6J8MRHShjTZv5k+Ar2Z9HWabRli+PDh9O/fn4cffpiSkhJSU1P56quvWLZsGZMmTarfb8KECSxevJhNmw6UeL3wwgu58MILSU9PR9M0VqxYwZtvvkmbNm0YN25c/X5RUVHcfPPNTJo0ibCwMPr378/KlSt54403uPrqq0lKSmqu4R0dBGzLrwja7NYNqtw6du3EiL2Q/H6sKjgpQ3EVo5hehKcS1n4G3a6Ajd8EPqgsG/H2meh3rsLodSNCgNdUqSKs2R4UEn90TeWZWVv4ckU2eq2cc2qUg+cu605auA2AmFBrk+WtHVKQ6ZTCquqEVm5C/e4eyKmtJxKWBEPugfRhMMs/cFnkbfSfLOxZDKMegZA4qMxvfIK4DuiRac1WlbLZjAUhBJMmTeLZZ5/lueeeq5d7fumllw4548/IyODDDz8kLy8Pr9dLYmIil156Kbfddlsjkabbb7+d0NBQPvzwQyZPnkx8fDx33nknN954Y3MN7ehhQmyolYKK4GVw7RYFKZxwcuJUa3Bkz0WZ/iBU1aYFW0Nh0F0Qngx6EzNPrwvclZSQ0GCjNBRaAkNV+NeMjXy9yt/rs7e4mvFvLmb6XUOJssK1g9J44rsNAfvokBiGQ1OkINMpghCCUPd+1HfO9P9dl++H6X+GM/4B7c+CTdMPtEWmQmWBf0cz/gKXvg3T/w9y1x7YnjYE/fxXKTfCaa7KlMKUJQkDYhgmhYXBZ/1HA1VT+HDFPv47M/Da5qDMGJ69uOspJ9t8KgQ4qapCRPFS1PfPD7zDOc/AvpWw4v3A7aHxeK77mRL9yIN4j1eO9++/SghGPPNLUBt+XL/W3DsyAw+COz5ewbJdJX7t4XaNT24aQIJdRdcbd3K8j7+5ORnHH6K5cEy/A7F5epAdYuGCl+HDy31/J3WHvjfAN3f6JhDpw8DigLz14KnBPP8FzNAkzKoiCInFrYRSaYT84QrDMTGhKEpgT7bM3TmG6F6Di3um8POmvEYPlMRwO/+8sAuWBlrzqqpQY4LX9AXA2YRAGFKx8UTESRnqrEeC7zDnKZjwVVBjwRjyIFUikmNZ3/5URFEEO/KrmvzN/batgFuHpWPH4MXLe7I6u5T3Fu6i2q0zqkM8F/ZMxglyyegUwoILsfXH4DtUFoBam9EXk4V5/ouIj8fBqL9Cal+fx8FVDv1vhYgUzKJdlEX1weNM9D0CdGjuZ4E0Fo4xFl3nxct7sCm3gg8W78btNTinWxIj2sVh1Q0Mw0RXFbwIthVU8u8ZG1m3rwyLKji7SyL3jWlHmErAGYrk+EXD4y/XfDCV+WB4fGuUc//tW3YAsIVhnPcCZnIfHEYJqhZCja5Jg7GFME2TEFvTsQYhNg1FCEzDxKLr9EsJp+fFXdFNsCu+SYI0E04xTEC1gOENvos9EmPiD4joNER1kS+WIXcdvHfBgZ1WToHwZMTV37S4sSmNhWOMaYJFN+ieEErX8zthmBAVZsM0oaKihioEnyzeQ1Kkg79+dWCNyqObfL1qP79uLeTr2wZhlzPMEwzF9/BoKi6hpgwSusA132FWFWDaoxFhCYhFr6JM/xOq4cXS/mwcQ+6nXI3Do8tA2ObGNCE5wk64Q6OsOvCDf8KA1jhVQV3VeF03UPClntU93xVNoVoHExOHKjCl7PNJjUs40DpdiFj1UeAdIlvjdSZSZoQTZrejqjYUZyxi6VuN9y3bh/j8OkIv+5SyFixtLZP4jxN03cD0GgjdqJ8l1qBw5RuL6Nkmimdmbgp4XFGlm7fn70TRZGT1iUSNcGJ2vij4Dim9IX8DrP8KI2cNnqS+mKHxiDdGIRa94vM8VBcjVk5BnTyEMNfuoGuNkqOLDfj3xd0Citd0SQ5neNu4oKI4qiqoURQmL9jNpa8v5JLXFvLCLzuoEgpCaqqctNToFoxhfwZ7gBgjITDOfoZKIjBqM2swDd/vPBg5q9G8hyh/fZSRd+dxihCwaGcR+0ursaoKxVXBZ6DfrNpHtdEyngXNouBWFFyK739NGilHhC5UGHo/OGMaN1ocvrXKxa9hRmfi6TAWt66gzH7yQNZEQzxVqN/dQ4ho3oBciQ9TN+iVFM43tw/mtA7xRDktpMU4eeScjrw+oTeWIO5hIaDcgAsnzee1udvZX1pDbpmL9xbu4pwX51Hk1qXBd5JimlAmYtFv+Bmz00Wg1D43U/tgTPyBqtjeeBp4l4TuhuKdTXdakd9kLYejjVyGOE5xe02+W7MfIQSHen54W8hQ0DWV79fl8mrtgy4+zMaNQzM4r2si6ikoS/1HCDHKEd/eC9fPhAWTYOO3viWJrNHQ5zrYNgfanoHZYxzlLo1IpQSx4avgHe5dgsWoAkJaaASnNsIwSHZo/PP8TrgNEJiEaAKvR0fRVFyGiaaAYpj1s0VDUfjPjE0UVjZOla5weXn0m3W8cFn3Rm2SkwOvDsUiAceY/2Ib/QRg4MVGFSGNYs5M1QpR6VCeE7zD0PgWjVWSxsJxiiLApikkRdhJiXIQYlWpdAd+IY/umICtmS1Mr6rwj+kbmbb6QG55XrmLf3y/gQXbC/jH+Z2DlumVNEZUF8Lu33yGQvszofUAEAq4Knz/e6ugYDPi1/8Q1edGhNXZZHAU4GuXE9MWwzBMFEzqynbphqBKCD5euItFO4qIclq5bnAaGTFONN3AZcKMtcEf/gu3F5FT4aawykt8WONKupKTARMTgcdUMRQ7NYYdIQRhagWa8GW2CUNFt0bA0AdRpwRZqkzqgVcLr82CaBmksXCcoiqCq/q1ZmBmFZ8t3ctNwzJ4btaWRvs5LCq3j8hEGEazhTgKAcU1Xj9DoSGzN+aTO8pNqtPyh/N8TzmWvun7gDtd4It8Dk+Bd8+tD3wUgLr0Lcxrp0Ni1wPKbwcTGo+hOVv04SE5gKIqbC+tYfybi3E1cCf/tDGP87ol8fBZHTB045BewJIqD1e/tZjrh6Rx46C0U05j5WTGobpxuPajzPkfIm8tZngyjtF/R1QXI356DPYuBWsoZq+rUQfegTu+B2LQXSjzX/DvKCIV/eK3qTBDacnUaRmzcByTHuOkU1I4k+ZsI9Jp5S9ndSAu1Fbf3rNVJG9O7EOIVcViUet16Y82Fosa1FCo47Nle7HKktqHjemIAVutGumSN3xiLK0HwNSbA2ZIiO8fwDztsaD9GSMeqtVdkLQkQvi8bpUm3DpluZ+hUMe3q/ezel8ZqqKQGRc8ej0+zEal2+c9enPeTrYVVskYhpMEu+rBuWsm6uTBiLWfQt56hGpF2b0A8e65PkMBfEWkFk5CvH0WqlFDTZ870W9bgjHsQcze12Fc8QmeiTMpVeIPBEO2ENJYOI6xNpCC/ds361i0o4h/jO3Ce9f1Y8oN/Tm/RzL/+n4j2wureHLmZlbnVeFR1WZ4wAhchyh56vLq0qvwO6gUYRgNX/6RrSF7GXiqAh+Quw5qSjEuegOc0Qe228IwxjyJO/Ns3M2kCS8JjBDgVlWe+H4DG3PL6dEqkiv6tmJEuzjUg36Dczfnk19Rw5/PbB+0vxuGZvDJ4j31f7/6y3a8LRnBJmk2nFSgfHuH/8a+N8DsJwIfULILZc0neBQnRSKJ8t73UTbsn5TED6XEG35MdHXkMsRxjGlCtNNS//fsjXnM3pjnt0+v1pGs3FPCZ8uy+WxZNlnxobwzsS92cfSUHb1endM7J/LmbzuD7nNet2SpSPc7cHsVXFnnYbs4yleC2hkDZU17b8TKKdSc/ybaDb+iuErA0DGdMVQRhssr7f6Wxqso/N+Xa+iQFE6rKCfpsaFkl1TROSWCu0a3pcrlxaIqOKwqVlVhzuY8YkJsPHlBF/79w0bKanxeBIdF5cZh6dgtCnM2HygQtLekGo9hYgt2AZITAk1TEDvn+cccWUPAWwM1pUGPU1Z9gKPLFRhaBB7PsVfqlcbCcY5NFQzKjGH+tgApc8D4AW14+ecDZa635lXw5Hcb+Ps5HVCO0svbMExaRdrpkhzO2gBld9vGh9I2LhRdlwvmv4cK3YEr9QycEwag4EUt2oL4Nfj+RnJP3KaFCj0CtNp87UPEPEqaj0qvQVKkg1ZRDs5+4Ve/h/lrc7fx3OU9+GblPmauz8VhURk3oDVJEQ5+3pTH5Am9cVg18stdOK0qXy7fywsHlavPjAvBqgiQ6qwnNEIIqMj136hooAcvIAiA14VWnUtE9nTM1H547bGUG6HHzGiQ05HjHIth8u+Lu5EV33it87rBaZRWe9iWX+m3feb6HFxHeZJvNUxem9CbC3oko9W6WFVFcFaXRN6Z2BebKb0KR4LHa1Cqh1GsR+GN7gBhiYF3VDTM7uNwe+SL43hAUQTb8iu4qGcKj36zrtED3KOb3PfJKq4bkg5AtUfnjV93sHJPCdFOK1e+voiPFu1iW145495YxBfLsxud47bhmajHejop+cPouoGZ2s9/Y02pr9S0agl8EEDGSJRlb6N8fx/qa0OwTp1IpFbWotoKDZHGwnGOaZo4TIP3JvbhkxsHcOfILB46uwMf3zQAu0Xl8WnrGx1jmL6H09G+Dquu8/Dp7Zh9/3Bm3j2Un+8fzt/P7oDN0Fs82OZkpJwI9PFfQWiCf4PFgXHFJ1Qq0QGPk7Q8pgmto0OYtSEv6EzPrRus2lNCj1aR9ds+XLSbc7snAzB1xT7O7ppEapTD7zgh4JFzO5ISbpO/q5MAwzAxItIhOsO/YcM30OuawAdZnNBzHKz5rH6T2LMQ9fv7cCo1zXi1wZHLECcAhmFiwSQr0kb7/q3wCMElkxewqyhwCVdVETgsKhzl2b5pgtANHIBDE1AbgCkfZ0cHXTcptbQi8sY5iPyNmPtXYUa2wUzpi0cNwe6twK4IapQwXF4Z+HYsMU2T2FAr+0qaLqOcXVJNTOgBzQSX16C8xku/tGhGdYzHMOHzmweyLb+CeVsLiA21MaZTAhF2DXfVIdzUkhOGMjOcyHFfon5yJeRt8G1c8gZc8g6mMwaxcJKvqiT4UqRHP+arPHtQwLPY8gO2MyqprFf3aDmksXACYRgmhqGjaQrXDcngb9+sC7jfWV0SsSvInPsTEF038YbGQ+t4qmIHoAiDEE8u9l+fRmyeAaoFrctlhPS9gVIzWgaVHkNsAjolh/PdmuCBqemxISzbVVz/d7hDIzMuhLO6JjJ1RTYfL95Nv/RobhqWwU2D2yAMcDp9xoU0FU4eDMOkRIkj9Iov0WoKoWgbhCVhhKXgTh6BrfsEhLsCRVURexbBjP+Dgsa6Opimry6MI4BMfDMjjYUTEK/X4IyO8SzbWcQ3B+kfdE4O56GzOqDoupzxn+AYhkFYzQ7Ut0/3m2Eo85+H1R8Rce2PFIvoYx4lfSpiKIINeZUMyozBogo8AYIQQ6wq7RLCWNcgKPjFK3vypy9Ws3TnAQNiZ2EVU1dk8861/egY62yR65e0PIZhUkYYwhqGSErHNE1MHdChikhQIwlTyrEveCmwoVCHPbylLtkPGbNwgqJ6df5yZnu+v2sIt43I5NpBaXx60wBeH98La4PKlZITFycVqNPuDKy9UJGLMu/f2FWZDtHSKKrCoj2lXPbaQibP3c6zl/XApvk/SkNtGi9e1YuXZh/IcOiTFsXe4mo/Q6EOj25yz8crqZSOopMe0/QZDoGe0dVKJOagO4MfHNfeJ/N8DJCehRMMTVOo1E1MIbACiXaVmwe2BgRer46hN5/ss6RlsRhVsG+F/0ZFg8yREJqAqCzAZlZSTYCyt5Jmo9qEv369FvDVevDqBu9d149Ve0vJLqmmS3I4AzJimLMpj405ZVhVhf7pUTxybmfu/XRl0H7zK1zsL60hMcwqjf1TFK9Xx8w6HbJGI7bO8m+0R6Jf9DaVhAMtb1VKY+EEQQiBR1WYtj6X9xbsoqTKTc9Wkdwzuh2JIRaE1Dg4+ThY9rnbZdB7ImyZ5Stfm9AFzXRjU724dPlTbinyK9yUVR/w6MzakMesDXl0T40gJtRGdnE1A9OiOLtDHKPaxYEA1QRDCEqrg5eaByipclPlNnBYpNP3VMVri0a74BWM3HWoi18FdwVG1umYnS7i/9k77zApqqwPv/dWdZ6ZnsCQc845KQgqIIgYUFFRQBAjpnXd7AZX/da4umvA7CpGFBUVEzkpQUAEyTnHyaGnQ9X9/iiYoZnuAZRhAvU+zz7r3FBdl+qqPnXuOb+TS3KFxSnZT5gqgNA1Agp2ZxbSunYS1/ZowFvfb2f2hkPM2XiI56/rQq8GfpQd7FatMB0+NG8qFGZChxHQpB+8dSmYJYah+O4/JFz7HqpGT0KmfTuXN0JY0uax+Gm3pcZX1+9GAWbE5NjakbpDo2tDaysi3rHrp3gIRAzbWDjLibhSyUvpgevizkgVISw8FS7nbn8jzyCaJglLSVBKQppE6CcuvGToGq8t3sHg/8xn5KtLGPnqYmavP8gz13bmhl4Nua1fU1bvzSFiF5ypdhQKP+Z5vwepQfdxsPhFqNXekoo9ihlBfngDCSKv4k70LEIpqJfswVFG0bbzW6XjidUfMZhwfrNSdSOOMrBNLWatP8iEd1eQFbBjUc52TFMRiOgUGO4KNxTANhbOGIYmWX2ogFveXUHfJ+cy6D8LeH7+VkJlFH5SDp11B/NJT3TRrm5JUEsgZKBLQeM0H6t257D5YD5r9+cR0bQKU/eyOf2EIhBqfRXmmC/B5YeuY6DdcLj2XRj6VEnVSiOM2PgNDodd9fNM4BYw5pxGsfscklvOa4pUoDRJRAq0I9dFKUjx6Dw3sgsp3mjlvoFtanLjOY15ae4WVuzMZvmOLHTdfjzbVB6EsksFxsQ0FRkZ+aflWEKTTN90mL98+nOpvgapHj64uTfOY2IOPAkuDuSFmDhvC0u2ZpDkdnB557q0qp3I0zM28ueL23DHu8vJLoze/+zbvAZPXdUBLY6btKrg91uKdjk5ZQveVFeOXX+CHsC1bjJy5oPRhWia9Ifz7ocPRkKoANXtJnL7/YtQqOq/kVaF62/oGu8u3cnr322nMGTdb61qJfLk1R2plehizb5c3lq0g/xghPNbpnNF57p4BZiGiXTpZAQibD1UQF5RmIapXpbtyGLinM0UHDlWryap/HdER7SzcGuxKlz/042mSXzkoBuFSDOMciVRoBIoOsMF4tLSEuK+vNqbnGeAIgWPfLkuZt+uzABf/byPqzrUxoiYSE2yak8uY95YSqRY6jXA2n25dKrv54mrOvLbD38qZSgALNx8mFkbDjG0VQ0ikbPvIVPd0DSJM2MNcvpfS3dum2dVqux9J8x/AlWnE6ZpX/MzhRYxuLFnQ67t3oD8YASHLvFoEqcuufejn/huc0nht+U7snhl/lYm39qb2h4dIibr9ubyt89/xq1rZBaEjrnXLQpDBqYJtq+o+uPQFEmBzcjP77BK0QPC4cXX63Zc3W8jJ+w7wRHODLafq5wRwio1e/TtIxYfLd9N4IioS5GCeyevLPXwACuAKmIq1u4rXfnxKK8t3EahrSdfLfCQhzb3kfgD1n0GHa6GUZ+gmg+2DcQzjIoYuEyTNIckSYBHwvT1B6MMhaPkBSPc/cFKipRVWKh93SRyAxEO5gVj3usXtK6J27YUzgoSzcPIN4cUGwoAhAuRC59GX/QMHr3sDJozhW0slDuC0Ake4qFIiTZCRmGYQ3nBmON0KcgsKFsE9mBuEQo7cKE6oBOB/aW3rooxDcjZBVPGI3YvwqPF/t7YnBkKTcUb322P27/lUD4FRwq8eR2SAa1rxhyX4NK5pnt9DNv4q/a4dQOx+IXYwmuA/OE1PMqqKqxpkiQtn1QOkGruIVnLwXkG9wZsY6GcUUrRpIavuKxzLC5qWxuPJhAC8oPx95wjpsLr1Cgr8aFV7STbdVlNEILSFSiPR3dBURZyyjg8+dvi7jfalD9KCQ7nl22w5R25vx2mySOXt+OKznWjsiOa10zgw9vOoYa3jNLFNtUGp1mA3Dwj/gAzAtnbcekm/sINuCZfjfZCN7QXe+F4tS+J698lUY9taJxubGPhDOAqI3o60aUzqndDzIh5JC3LXWZGw67MQga1jf8Dct/AFriEvQ1RlZGRAhyZ69FWTYauo+MPrNMJDm0omTf7ITyi4AycoU0sdAFt68SX4hUCavhcSClQCvSIwV8Gt2TO/f354s4+zLyvH5Nu7E7zGl6kndZULZBS4NVDJMh8PLpR6tmuEJbBXxa6G1/kENqbQ+DAMZ7GQBby2z/iXPMBLr38vVC2sXAGEIbJrX2b8JsBLUhwlfiNOjdI5qPbe+M95gvkloJhHerEPI4mBa1rJ/KHIa3p1SSlVN+fL25NyxpejBhFbWyqBi4tgrb5W8TLfRFzH4a6XaBh79IDPSlw0SOw6IXiJrF7KQ4qx/7m2YgDxW8GtIjbf1HbWhSEDVYfKqRISpQmERETj2lS263hl5bHwaZ6kKgVkpz3M95v7sYz5Vp8c/9MSmQXHq1kKzkokzA7j4p/ELcfkVgHOe9RiMT2Wsn5T+Cl/HVW7NTJOJzO1MmjSF0SMK1IZ4cucUuBE4V5XICTcjn45xdr+Orn/cUa8ak+Jw9d3o7aiS4aJHswlCK7KMKy7Vn4XBo9GqfiQiGrQXDj2Zg6dZRULRttYreSB4PbD5c+C6F8WPOptbfZ+Dxo2h++/SvsXVEyOaEmoZvmkmNUTKGZ00VVvv6mJpmx8RAPfbGO0DFpj72bpnLvgBbcOmk5ecEIuhSM69OY8ec2LpXqXJXXfzqoDutP0AK4fngWuei56A4hMK94hYIGAykyrK2mFEcu+qRhkLk1ahyJdTAHP4FZrzv6S72gKCfu5xm3LiDT0eRXn3dZqZO2sRCH8jAWTha/30NB2CA3EGZnZiE+l4P0RBdOAU5UcdS7EFbQizoSYV1dqA4Pi1+Cpkn8e75F+3ic1eBJgY7XQkpjEBrU6wo7F8PWObBlFsdXGzL7/4m8zndR1aUWqur1l1IQQDBj/QHa1PGz+WA+hcEI3RqlkODWGfvGUvblRr8d/vni1ozoWDsqmLGqrv90UdXXLwSkBLeivdov9gDNgXHnCjINyzsspSBZy0H+8Api+VvQ6TrocDUq/yBK6oj0VogfXoNFz5W6549i3L6ITK3Brz53W2ehCuJzaEQKQ7RJ9QIKdUS0KYL15TKEIGgqHAp0296rFggBouCQ9UfPW6HVxbD8LdgyGxJrQ3IDqN8dZj9c+qFRowVmlxsJ2bsQFUZQSEa9voTtGVbAWdMaPlwOyX9mbaJrwxTuvLAFf50and3y4rwtXNK+NifYtbapQjgdIL97Lf4AI4zYvgC9yRU4VABPJAOx7C2Etwbqllnw49uINwYjzIiV16Y5UOfeg7jkaZh2X+njJdTCdPqhnLX4bGOhknO848fQJDtygrw4bwvbMwpolObljv7NaOB3n5Vqb9UJw1Coet0t7YQaLeGdK0uMgsMbYdt8GPAg3DYfvn8Wti0Ahwez61jMNpcf2X6wDceKQNMkS3dnFxsKAFsPlwSbLtx8mFv7NSXJrZPg0rmsc11SfS72ZAcIGSYuO56x2iDNCCJ/f9mD8vbhFkFcW75ETrvHams5GIGChc9EjzXCiAX/hiGPQdPzYevcqG5z6NMUCD/lfe/bxkIVwpCSj37cy79nbCxu23KogNnrD/GbAS24rms9NDtAqsqilMLw1UHreSu8OSy2y3HWg9CgB9Trjtn3t4TwUKT5CYdNbEOh4lBS8NnKvWWOWbotk/8b3h4hBFOW72Z/ziGapSdQGDbxeXSkbexXCyLCidmoL3LT9LhjVINeOCNZyC/vLWnsMhq+/G38Ay96HjX8ZcTORVZMU4OemAMfpjCxOeEzUGjKNhaqEAWGGWUoHMt/Zm3i0o51SLLzW6o0hTIZR/b3CKMM8a2lr8IFDxAWHvKMRLANxApHwAk1Lno1TeXbNft5Z/HO4rb1+/P4cvU+nriqA+c3S0XYmUxVnnDYRLUdDvMeiy22lNwIld4WufSlkhcCIcGXDvkH4x84ZzcqoS6RCSsQQBgHAXxnLPvNNhYqGUIICsIG+UGDIkPhcmgoIBw2mLa6tGvL69S4qmt9BrWtRV4ogtvnwi0Upq3+ViVRSkHhcXLByY2g+02WrgIKQoWoUAHBxAZgVPFoxuqCaXJd9wZ883Ns93Oy10GiS48yFI7lz5/+zNz7++O2vUPVgjySSRzzBdoH10LBYauxZhtoNRSzxy0EhRdf1harXWpw5auguy2jQcV5dmsOTOkg2/Af03jmvi+2sVCJ0DRJngn/+PAn5m08hFLgcWhc3a0+V3Spx8HjZKDTE1w8d30XPlq2i1smLSMYMUlw6Yzv05gbejUkFDExlUITAq/Erh1QBTAMBfW6lTS0GAS9J8D8J2HmP6y2mm1h4IM4ExoRxFb6qwwYhqJlTR+dG/hZuat0itsfB7fi/aW7otqcmqRFrQSEgE0H8vlucwaDW6adqVO2KUfChiDX14qE8fOQ+fuRbh8c3oRY8wli5oN4ut6I6n0XYuO30O1G2L4QDqyFFhfBxm9iHlO1vYKQTCj3QMZ42KmTcaiI1MmQpnHVS4vYn1tUqu+itrW4rV9TrnppUXHbK6O78fSMjazfXyLI0SjNy5NXd2LyDzuZtmofwYhJ0xo+7r+oJd3q+6tEEGRVT536taS5C5GTLoNAFlz1Grx7dUxBFnPkZHJqnlftjMCqev2FgLCm8faSnbyzeAe5RRFqJ7m5vX9TLulQm9cWbqNj/RT8Hgdep0aK18HGg/lsPZRP5wYpmKZJu3QfXq8TqHrrP11U1esfCyEgRctGe/uyaB0FQDU9H3HuPeBww1uXgScZrnkbPrqx9HZEUl3UqE8wD6yFut0oEgkUGqc/h8ZOnawC6LpkxoZDMQ0FgOlrD3DfoJbUT/awOztA0xo+8ooiUYaCEPD4VR25b/JK9mSX3GhbDxdw53s/8sDQ1lzRvjZUAYPhbCbiSsMxcjJi83T4/rn4ym1f/wHfmG/IIfEMn6FNLI5KOI/v1ZDrezTAVCAF+DTL89C9cSr/+GwNe3OsezzBpTO+bxNa107kuy2HaV4jAaO2fS2rE16tCPnNH0oZCgBi61xU4/MQ9XpYNSAKDlsBjiPegs0zLQ+DkNDmUmjUB/HhaLTDm0BIPH3uQ+t2G3kR7xlbix0OV0kIKfhi9b4yxyzYdIgXR3WlSQ0fPZukMnt9tPXZv2U63285HGUoHMtT0zcStCtSVgkMTzqq+UDroRGP7B1okYoRDrOJj3mkdLVHmbhME9NQ7MkLctvby4sNBbCKxv131ia2ZxQiBUxetotv1x4gM2CLZVQXnGYhIs62AoBY8hIk1S5pOLgO3rwEDq6FC/8KFzwAu5fBW5fC4U3WGGUiF/4b58556PqZ+wm3jYVKggAcJ4imFkLw7KzN3DOgBbf1a1qqKEnf5jX49ucDcecHIybbDucj7CI1lR5hHP1RsXcJqzphIXjsmw3EU2J/cd5mujZMYdHWDP7y6c/c8NpSMmyDoVogIoH4AYsABYcs74HjGA+BMmHD16B7YMo42DQ95jHk/MfwqvgS0Kcb21ioJOjAtT3iy3UKAR3r+5mz4SAT52zG7ZDcN7Alr47pxnU9GuBxaEghME4QgmKYlFnV0qbi0UPZyLmPIH56H5oNiD8wuSGG7jtzJ2bzizCAJdsy4vbnBiJRVSa3HMrnxTlbEGfwrdGmfFAOL2hlBCH7G0DObuj/x1izIVxG3EbGFrQzGO1ofxsrCYZh0qV+ctwSt6N6NWLO+oNc1a0+j17Zgd9+uIpBz8zjNx+sxFQwaXxPdmUV0r9letzP0KWgWbqvVOEqm8qDpknErkWIZW9YUs997o1bwtYc8gSFIvnMnqDNL8Kla2X2a8d5FT9cvosiO7SoylMkElAdronbr/rcAwufBiMIV74CtdpbHQ4vuFPizgPAnYw6gz/htrFQiXCaJq+N6cbt/ZuSeKSUdcNULw9e2paujZIRSjG4bS1GvLyIRVszMBUUhAw+XLaLCe+uYFjHOlzZtR7J3tiW7Lg+jW1Z2UqOV+Va0q4A+Qdg0fNw3fvRZarTW6Fu+Bizdmd7k6IK4BJwRZe6cfubpfvYnxMd2FwUNk/oJbSp/AQiDozz/4pq0KtUn9l5FKrVJVbmw5x/wXfPWnoqoz6BEf+DYJ4l7xwHs/t4AvLMBcSWa+pkQUEBzzzzDN988w25ubk0b96cO++8kwEDynCtAh999BGzZs1iw4YNZGRkULt2bfr168eECRNITU2NGtuqVauYx3jwwQcZOXLkLz73iqw6mZDoJqcoQtgw0QQ4NEEwYu0fXP3S4pgZE+P6NGZ4l3r8uCOLjg2SeeLbDSzaYrk+k70Obu/XjCs61SlVDrcyUp1Sp04Vv8zB+WofKMouaUxpAj3GW28dUoekutZeZ/ZOVHIjzMS65KoUItVE/a86Xv8iKbnyxUUcyo/ObHFogheu78p/Z21izd7c4va6fjcf3dob51mozlndrr8QkKgVoBfsRWz8GnQ3qtUwQo4UCpUXv8xBm/sw4ucpYITBmQCdR0Kby0A6YMpYyIsW+1K1O2JcN5ms8Ok1FiqsRPW4ceNYu3Ytv/vd76hfvz6ffvopX3zxBS+99BL9+/ePO++8886jV69e9O/fn1q1arF582ZeeOEFXC4XU6dOJSmpxFXfqlUrhg4dyo033hh1jAYNGpCW9ssFTiq6RDWUvlkyI4rB/11QavzN5zUhzefk8W82AFA7yc2o3o3o1iiZFK+TBJeGVxBVBrcyU90eFqdColaAe8pI2LuidKcvHa55C2b/C3YsLGlPqoc54m1yfS0IG1XfdVQdr7+UgkIheH3BNj5duZdgxOC8FjUYe24T3l2yg6+OU2d9dHh7hrSsUe00NE6G6nj9wQpQP5q9EA4bx7SDW4tYXsVABqIwA9Z8AqunQGpTuOQp1N6fEBu+As2J0XUsZr2e5BhJpQoN/loqRGdh3rx5fP/99zz//PMMGjQIgN69e7Nr1y4ee+yxMo2FqVOnRv3Q9+zZk+bNmzN69Gg+++wzRo8eHTW+Ro0adO7cuVzWUZkwYsQa+Jwa/VumM/r1pcVt+3OLeGq6ZTgkunS+vrdvlTEUznYKScTV73eID64v3TngH/DtX0sbErl7kJOGkXjHYjJJLT3PpsIxTYWuCRI9Dv41vAMOTVA7yc3kZbuiDAUp4Ka+TbiobS0iRXZGRHVCKRVlJJS0QyCiEyAVn8eDxzSgMAuR0sjyHKITaX89RutrUQiCeI48z8+sJ7HcjIUZM2aQmJgYteUghGD48OH87W9/Y/PmzTRv3jzm3FgegQ4dOgCwf/8JSn9WY5LcOj6nRkGo5As3uH1tpq2Kr8+QF4ywbl8e3eoknLGCIza/HMMwUfV7Qc/bEEtfLulwJVnbD7E8DgDhQsTKd3F2uZuQXS6i0iEEZAUiPDd7c3GbQxPcfWELJt/am1V7cvA6NPo2r4Hfo+N1aOTYxsJZR4HhQa/VBXnFy0QCBRjSSZHpxgwqKJZ2r5gXv3ILcNy0aRPNmzdHyuiPOBpjsHFj7OqJ8Vi8eDEALVq0KNX32Wef0bFjRzp06MCIESP46quvfuFZVw4ipiKzMExQSqRLIywFESnxOSQTzm8WNbZGgos9WWW767YdLkAIO5a1qhBxJmP2/wvm3T+ixs9EjfoEbvgIsraVOU9un4dDVS/XbXVBSsmmQ9HbmmFD8fSMjYx+fSkfL9/Nd5sPo6PwOsrOnLCp/pi6jzwzkcKIq9Jkr5WbZyE7O5vGjRuXavf7/cX9p3KsRx55hMaNGzN06NCovksvvZT+/ftTp04dDh48yPvvv899993HoUOHSsUxnApClOydnTkUhwrCvDRzE7szC7m1f1O+Wr2fRVsycDs0xpzTkKu61cehS56fvZncogj7c4poku5j4ebDcY/aunYiPp/zDK7j16EfSTM78//+FYsAZFEGsjDbckPO/BvsWW7pwp/3O4S37Bgc5U7G6fGga1X73626Xv8aCbFTYEOGyfr9edRKcpPgcVbb9Z8s9vorbv1lafCUa22IspQCT1ZFMBAIcOedd5KTk8M777yD0xn9o/fUU09F/T1kyBBGjx7Nf/7zH6699lrcbvepn3gFcSA/zBUvfEdagpO/XtKW0a8vpfCYLYcVO7PoWN/PG2O7c2nHuuQVRXBoAkPBu4t3xFSIS/M5aWnrzVd69KIMxIYvET+8AkW50KAn9P0trHwXVk1GfHIL3DLHKmMbiV0/hN4TMKu4oVBd0TSB3+PA73GQE0edcXTvRvhctlehuiPNEJhhS7AJQVXJkC03YyE5OTmm9yAnx5KnPOphKIuioiLuuOMO1q5dy+uvv07r1q1POEdKyWWXXcayZcvYuHEjHTt2POVzByvo5IxG4+qSf0/fSEZBiD8Pbc1D09ZGGQpHWbU7h09X7GFE57qYukATAl0TPHtdF34zeSWRYywGv8fBpJt64jAMcnKqzkZ2dY2GjkeyIx/x4UjE3h9LGtd8Cus+h+GvQO5e2L7A0lwY9gxMvaPUMVTrSwmltCK3GvybVcfr7/M5mbvhIP8a3oHfTP6R8HHxQ8M61sHtkASDERxHtiGq0/pPhep4/QGStAL0vB3IzE2I9DaovStAmahG5xFyppFvelGqYteflpYQ17tQbsZC8+bNmT59OqZpRsUtHI1VaNmyZZnzg8EgEyZMYOXKlbzyyit07dr1pD/bPJKbfHy8RGUmqODLI4Wk6qd42XwwftrmW4t20KFeMg9NW4vXqTG6dyN6Nk5hzv39mbvhEDsyC+nSIJlO9f1WyqRdZbLS4tAl2qZvog2Fo5gGfPMnuOxZy1j4+WNLpGXsV7D4BTiwBnzpmOfeQ6ROT3IjtvRzZSUcNnE7NL5YtZd3bu7FtJ/2sWZvDik+J8O71CM3EGFPdoAONX3FxoJN9SFJL8A55x+IBj0hYxN8fhfiiEtBAK7mA3EN+y9mIBeZ78F0JiFl5YlXgHI0FgYNGsSUKVOYPXs2AwcOLG6fOnUqTZo0iZsJARAKhZgwYQLLli3jpZdeomfPnif9uaZp8sUXX+Dz+WIGQ1ZWTNMKeNKkoChGes2xZBWEyAqEWLvPEnFZtiOLrg2TeWFkF4a1qYmUVklcwzDPoHK4zS/BbeYil70af0DBIev/nT4IFcD6L6FmGyv/uvlACGRj1u1BTtg2FCozoVCEi9rW4olvNjBn/UGGtK9N/5bp5AUjPPb1eg7nB5lxX39CIQOPvZNUbZBSIKXAcWAlImMjNOwFi18sNU5snglzHkFz+2HJS2gNzyH5sonkaLUwDBMpBS4tgjAjRKSbUPjMGxHlZiz079+fXr168cADD5CdnU39+vWZOnUqy5cvZ+LEicXjRo8ezdKlS9mwYUNx2z333MPChQu588478Xq9rFy5srgvNTWVhg0bAvD666+zbds2evfuTXp6OocPH+b9999n+fLl/P3vf8flih1QVBnRBbSrm8Savbl4HBq6FFFbCsfSob6fLQcLotpW7Mzm27UHuLxtTUIh25NQVRCYVoxCWQTzrfoQoQJo3BfWT4Odi0uO0eYKIKFcz9Pm1+MV8MbY7ox/axmfrdxb3O5xaEy6qSdeVAUlxdmcToQAnwzgNPPg8BaEOxHpSYS+98Psh+JP/PljGD0VXIlQowXaru/wNxtCBAM9dzty6YuIQCZm4/6oDiPII+WMirCVm7EghGDixIk8/fTTPPPMM8Vyz88//zwXXnhhmXPnzJkDwAsvvMALL7wQ1Td8+HAee+wxAJo0acKsWbOYOXMmeXl5eDwe2rVrx4svvnjCz6hsuAX8+eLWjHp9KbPWH2RYx7pMXbkn5thxfZrw8LS1pdrfWrSDga3SqTomkk1YenA26oNY9UHsAUJAahNIbgyJdaFOJ5j+15J+fwMM6cJ2IVV+lGHSKtXDrN/25/uth9l0IJ/WtZPo1SQVt1KY9nZhlUcISNbz0L6+31JcPIonBcZ9A4c2xJ9shCwP4t4VsOwN8KYh09viXPpK1PNBbpsP3z1N4php5HpbnjGZ93KVe67KVITcsyElS3Zl8+hX63j8qo68u2Qn09ceKO53OyS/H9yKw3khXpy3pdR8v8fBl3f1wVXF9eSra4BTLISAFGMv2svngnlcEGqDnjDoYSg4DJlboHZHq679zH/A/tUAmFe8TG6jSwlXI4XOs+H667pESoFpqlKSzmfD+suiKq/fpwXwTL8PsX5a6c4Rb8JXvy/ZWozF2Gnw5jDrv2u0sDKiYgQ0A5BYh/C4WWQbsSsV/xIqRO7Z5sQIXVJ0xCr0ahIiBv0aJdNzQh+yAyH+dHFr/nhxazbuz8Pr1GiansAT36zniziKjZ3q+9GrfmmAswqloMBRk4QbPkF+eotVaRKgcT9Uv98hPhgJhZklExLrwDVvw6LnMBv0ItTowmJDwamDV+UgzRBKOigSCRQZepVJzTpbOBrAGA6bp13b36ZicZn5sQ0FgFUfQrdxMP+J2P2N+8LuZSV/t7/aSp2OR94+ZMF+hCfpjNzjtrFQAQgpyTMVr8/dypwNh3DqkhHd6nFF53pkBSO8vXgbmw/l0STNx+jejehe3480TQxUXKsP4L6BLXEoe9+zqhE0dMyUrvhumo0MHEaGC8BfD/FiHwgd593K2wfvX4u6aTqG7iMvbL2F+R2F6KvfRy56FgozQHfh6zACT78/k20mV6qo6rOViJQURkxmr9pHUdikX4sapCc4cZqmbdBVA4QQkL0j/oBN30LvCbB1LuxeGt2XWAcu+AtMGV/S5kkpVW2yFAUHEd5WZ8TotI2FM4ymSfYUhhnx8iKKwiU/69syCpm5/iD/+HxN8YNj0ZZM3lu6i39e2pbBrWuiAXde0Jy8ogiz1x8snut1avxlaBtqJ7kwq0AJapvShA3Ixg9OP8k1Pegr3yptKBylMAOxfQF65jaSekzAUBJ97kPIle+UjIkEET++g7ZzMf5RX5Bl2sJcFYmha0yct4W3F+8sbvv3jI10b5TCc9d1xmEYtsFQxVFKgbsM/SDTgLmPooa/BAfWIFa+A5EQqtVQRJPz4KOx1svAUbK2Q822kLE53hEhpckZexGwjYUzTJGC309ZFWUoaFIwolsDrntlUcwHxj++WEvfFjVw6RrXvryI2/o149Z+Tdl8MB+vU6Nmopv3lu4g0aXTr3HyWVnWtjohUIgd35U96MDPiNy96Id+Rq/RItpQOJaMzYhdi9AbDLG/FxWErmvM35IRZSgcZdmOLJ6YvoG/DGoJdoBjlcf01kRLqAn5B0t3+mpgXvg3ItKLqt8Xs14/TMNA18FZuA9xaH30+FUfwJWvWuJssajXjYgj+YwFN9vGwhkmcEQH/lh6NE5h0ZbDMeWajzL1xz0MbFObrMIwj32zHqcmqe13E4wYHMgNAnAoL0jPhsn2Ra3iKCQquSFlhp8k1ISD69AW/Rfz/L+UeTztp3dxNriASHHVOpszSaGpeG5O/LfDL37ax30DWmLLK1R9CvCTNPx15HtXgnGMrPc5d6JaDEYseQnngdWQUBvz3N8QrtmR3KCPJHdNnC0uQmyaXjKnMBM2z4SLn4TpD1jZEkep2RbjqrfIVwmcqVLV9u/KGeZ4mVcAv8fJobxgqfauDVO4oVdD0hNdJLp1fG6NNJ+TjIIQIcNkZ2Zh1PjCkIE6wzXObU4/SinoPAoWPhN7gJDQ+DyY9zjUaHmSdVbs70WFIWB7RmHc7oipCIQNPHZ0cpXF5VB4zBxEJIhKaYR553LEkhcRm6dDuytR/gaISZeVTMjYgtzxHc6OI0k8/0HyIj6SL3kWbfqfEes+s7KeADZ8A1e/Bjd9YwU/FmVDrfaY6W3IVilnNBbJNhbOMD6nhtepRdV92JVZSJ/m0RUFfz+4Fak+J8/N3sT2jEKkgAFtajHxhq488uU6Vu/JKXXsAa1r4pYCww5mq/IYnhrIi/6FnH6c10AIGPKoFSVtGqi6XVFJDcr0QhidRhLCDXboa8WgoGaii4MxXgjAuqRuh1byAxEHTZMUKVDCOqZbgmlvLVU4fkcB+sq3kIsnWj/mUkO1GoYa9DCh3r/BQRD5fLeYc8Wq93F0vwnha0t2JAHvwKfwDPwH4tA6cHitNMsv7oP9qyzlVqcPlryMGjcd8wy/AFSd4gnVBK8UjO/bJKpt7b5cmqUn4PdYbuKhHWqjS8GfP1ld/EZiKpix9gC3vbOcv1/aFpcefekSXTojutXHsB8e1QLTkUBR62tQty2AjtdCw3Og8w0w+jPI2AI/vmN5GLqOATOC6nNf7AOlNUM16GPHK1QgXim4+bh7/ljOa1EDly6QuhbXS2RqknUZhUz4YCV9n5zLkGcX8uJ3OwhpWpkZUjbli08L4JjzEHLuvyxDAcA0EOs+Q751CZowUDuXRG9JHIdc+jJOaQW4FhguIgkNUAUZ8M6V8PHNlqEAcHCd5V3w1yesnXnFVttYOMOYEYMbejRgfN/GOLSSm3zi3E28dVNP0hNcXNejIc/Pjr3HmV0YZtpPe7msU53itla1Epl8a2889jOjSiOlIEELoAcOogcOERFOslxNMQf+E9oNt15BJ98AS1+x3jAuexax8l3kmxejeozHvPAf4E21DqY5UZ1vwBj1OTnm6RNtsTl1IhGDyzrWKeU9BKif4uFvl7Rl2ur9LN+bSwGC0HFblUKTzN+ayQ2vL2XlrmyUgrxghNcWbuP615cQrEIF86obLiMP8VMcLYScXcjNMxFa2bFCojADSYkgmwJUi8GoJv1LD/amYQx/lQJ15o0FW8ExDuWu4KhJggp2Zwdw6Ro1E514paDAUBzMD3Hli9/HnVorycVHt51DXlEEty7x6BJ3NaouWZUV3H4pHi2IN28LYvY/EbsWgysJs8sYVI9byVEpJHMIeXgDHFoPnlRIbghLX7YKSwHmsOcobHU1rnAmwgiC5qRI+CgyHFUuJa86Xn8hICQlO7MCvLd0F8GIwZD2daiR4OSBT38ujj+qneTm9bHdaZLqpSCvCICglAx5diH5wdhl5h8Y2pqrOtTBqCZp01Xl+muaJHn7VOTnE+IPatwXc+jTyInxiyGaAx4kr/0thCLWjXp0/RQcQsvYgFz2KiJUgNlyKKrVUHJVcrlJPNsKjhWM0DUCpiKvKILzyI+7B3CZJs39LuthbphEDHBBlMchFqYCqaCm88gbhWlXl6zKOHWFd88C5JSxJY2BLOT3/4V1n+G/8SvYNBdm/d0yEoJ5Vg72Mcg1UxDNhpJtHMnztr8QlQqlwGGYtEh289AlrSkw4M73VrByV3bUuP25Rdz05g98fPu5uLCMjL05RXENBYAPl+3m4ra17JowFYE4gVdHSExnIjK9tWXoH48zAdXuqmJD4VhyIgnIlO64BndCYBLGfUSttWKsf9tYKGcMXePVhdt4Z8lOgkf2jZul+/j3iE7UT3CiYngDaiS48Dk1CkKxn/hD29fGo4lSpQRsqiZelYv8Mk7MQdZ2xOoPrboQRTnFNSFKoenYu4qVH9NUSATvLtleylA4yoHcIBsO5NGtTgKRiCJ0Ao9h0I5HqRAMw0Q17G1ZdHHcd2anURSIZBJGfoQ25UarSNRRkupiXvMeeSTH/QzTVATMoz/TFXud7adLOWJqkufmbuH177ZH3dBbDhVw7SuLyYvjSvK7dX43uFXMviS3zk19mthKjdUIWXgQAlnx+3+cBKlNrYdSHMwuYwkq+92yKhA2FWv3lV2WfPWeHDRNopSiUaoXvYwgxgGta+LR7Ed5RRAUCZg9b4/dWaMFZqPzCIUMslUqwavfw7h9McZ1H2CMn0147ExyvC3OaJnpX4P9DStHggo++GFX7L6IyasLthLWNTIjiiIpEbpVYEaXgss71eXpER2p63cD1u9EvxY1+PiOc0mwr1q1QQggEjulrphIEabQMHvfFbNb1e6EUbd7tYlZqe54dEGdI/d1PBqkeIszWKQQjOheP+Y4n1NjbJ/G9stDBVFguAmfcx/m0Kchqa7V6PBgdh9P5IbPioOLTVORaySQqdUnO/08sjwtyTaSzlh56dOBvQ1RTggh2JVZWKbmwfxNh2lfL5m/fLoaly65qmt97r6gGWAJtbStk8TEG7qia5IEl45HF7iFIBSy9x+qC0oBSfVAc8RNr1LNB1EkknD0vBtHzbbI+Y9bMQtuP2a3cZg9biMnkoQtvFT5kZrgYEGYyzrV5f2lsV8kXLqkV9NUIhEDqWu8s3gHfZun43PpvL9kZ/H2ZPt6SfxhcGtMw6RsuU+b8iQ37MXR8jq8zYcgzTBK6lbF14iGQxckihykiqCERpFIpChSNd/2bGOh3FCW0EoZuB1a8X5kMGLy3tKd7MsJ8MgV7Rn7vx/YdLAkG0MKS6ipc30/NRPd+HSJZtpvktWBgEjA2+NW5OIXSnfqbugxHk/kMAEtmUDjy/E26o+0apASEEkEw0dUemwqPQEEV7/8PWPOacwd/Zvx4rwtUf2aFDx9TSckAqkJgqbJd1syeGXBNq7sUo8XR1niPg5NsvlgPg9+voa7LmjO+U1SbM9SBRIOm+RwJEX5iJMnyRHAueUbxPwnIGcXOH1oXUbjOececgx/lasEaxsL5YQpBYkeB0kendxAbE/ApZ3qMmvdgai2ORsOsTsrwN7s6LQhU8Hj32zgpVHduP+jpVzQuiZ3n98MzXY/VnkCEQfO3veg627kkhchfEQaOL01XPQwYtZDaFtm4b30OQobDyXHsHUTqiKarvHVqn1kFYb576xN/HZQCz67sw9vfb+dfblFNE9PYFjHOkxetos/TFnF5Ft7UyfBid/jwDAVHy3fzUfLd5c6rt/rOCMlim1OnmQ9D33J84hFx7wAhAqQS15Cbp1D0vVTya5ilWCrpj+kChBSgqe+3cCfL24TMy6tWXoCPRqnsHDz4VJ9S7dn0rxmbNGNd5fsYET3Bry7ZCfzNh1G1+1LWB3ICfso6HYvasJiGP0p3PgFnHsXzPiHVUxGKeQXd+Mxsyv6VG1+ISGlmLHuAEkenUs61CHBpfPz3hycuqRz/WRyAmHGvLGUT1bsoSBk8NuPfiJoKm46t3HcY3ocGq1qJVS5t9TqTIJWiF50GLF4YuwBhzag7fq+yj27q9bZVhE0TbJiVzbT1x5gw/48XhvTnXOapeHSJemJLu7o35T/G96e307+KWbGjVOTROLc/JsO5FMvxRLteH7uZgptz2O1IYIDtWkmvD0c3roUPrsLDq4tGaAU4qcPcDrL3t6yqZxIYHTvRjx3XRdSvA5W7bbquwztUIcZ6w7w+U97o7KmNh7IJxA2aV0rkQtbp5c6nhDw1NUdKTtU0uZMIoTAGcpAbF8QN50SrAwnp4pfXKwyYm9DlANCUFw05s3vtzNz3QGu7dGAcUfeEDxOjVGvLYlpEAgBnRsm8+S3G2Ieu47fTWaBVap0V2bA3qmuRkgpIGtr2WMyNyPtglBVEiUl3205zOQfSrYSpq7cy7COtXl5VDcO5BZhKjiUH+TN77bx0+4cgoZJkoT/u6w9K7pk89rCbWQUhOhQz8+d5zejhluPqdViUzG4dBO5cgp4U8oeaEaqXEyqbSyUA4ah6FTfX/z37qwA/56+sfjvl0Z1o33dJFbuLl058vZ+zVixPSuuZ+GaHg146/vtAKT6nFXuC2cTH8MwUXW6ljnGrNcNQ0lsicYqhktn0ZbMKEMB4N4BLUhPdHH9a4s5kGu9YDRO8/K7wa34btNhEl06mCa6YXBuQz9dr+uMoRROKZCmQtlBzpUKaYYR+1dB33vLHGd2uIaQ8FLRQkungr0NUQ4opajrd9Okhi9m/4Of/8zEG7py38AWpPqcgKXq+Ox1nRl7TkMGtKlVXIHyWC7pUAeXLlm/Pw+Acec2xmNfwWqDYZioBr3A7Y89QHehWl9GOGwbClWJiCZZtDWT/323Lar9nGZp1Epy8depPxcbCgDbMwq55/0fGdapLj695HUgEjHRTROXUgjDtIMaKyER6cKs1xV2LoF2V8YelFQPs9mgI9LNVQe7kFQcfm0hKSkF+Upwy9vL2Hig5DipPievjO5G4yQXmoBC06pPLxR4pfVASErykBEIM3PtAeZuPESi2wqIOpAb5OFpawkZJj0bp/DfazujV8NsiKpSSKY80DVFctFWxKTLS0reAjh9mCM/JM/fgZBRvS3E6nT9hYCDIZMNB/J5ZNpaMo5sIQI8f30X/u/LdezLKYo5t1ujFJ6/thP6WbbNUNWvf6o8jPbKeTD8JdixCFZMgmCuVUeixSDUkMfJIh0jnoJvBa7fLiRVAZimIkHCm2O6kxkIs+VQAbX9buonu3EByjCJAM5j5hw1NIWAGl4Hl7ZJ55K2NTGl5MedWczfdIhBbWtyfc+GNEnz4TAMO2ahmhExBJG0Nmh3LIK9P8KBNai0Fqh63ckniXA1NxSqG7quMXf1fqSQNErzRRkLSW5HXEMBYPmOLCLKfkhXNfJFCokjJyM/HAPNL4SrXwehgcONmdSAHFIxYhSOquzY38NyxDQVDhS13Rp1G/kxTctIONmvSaTYTWXQo14S3er7EVjHMG1DodqihEbEU5P8Wucj61yAaSpbcKcKo0nJh8t2MeGC5qzYWVIDRJZR68Pqt4UZqyIhQyM3qQMJN89DZG5C5O5BpbfG8NUlz0yqsmmu9mvKGUApK+jx1+z4RCImZtjACBtV9stmc2oYhkk4bNiGQhUmHDa4sFU6Ww4VkF8U4cZjNBN2ZRXSqlZ8YZ4BrWsSNE1Mu0hUlSNsCLIMP9kpPchuPJwsTytyjESEEGhV9HpWzbO2sbGxqSIkODWGd6nLg1+sIcmt8/4tvbmjfzMO5wf552XtYlaU9Dk1bj6vKde+vJi5mzNQ0n5UV0WOegXdMkSqlol/9zck7/iMVLWfBK1qxWTYAY5x+LUBjr+GsgJchC4pMq1CU7oU+OSx2xXVg6oe4PRrOdH6HbrEq7LRjAAISUR6KCCp2nggquP1N3SNL1bv45UF28gNhOnfMp3zW9eka4NkMgpCvDh3M99tyUAKwcA2tbipT2OenrGRJdsycWiCOb/tj+ssSZOsbtc/UQ/g/OlN5PzHwCwJSFdthxO56DGyw9FZc3aAo82vQghBSJO8OG8rU5bvJhA2SPE6GN+3CVd3qWfXiDgL0HWJVwviyNmG/PI+2P8TAFrtjuhDnybf15yQad/SlREtYnB1hzpc3K42hlJIKQhFTDYfzKdtnSSu6d6AW/s1QynF91syuP2d5WQVWlVIw4Zi6fYsejZJRUehm2ZZ4oA2lQhdlzj3LkLO/b9SfWLtp2iJtfH0/hOBSOVXZbWfLJUAqWsETEXYVDikIGwoHFq0dReSkvGTlrFuX15xW1ZhmKemb2TD/jz+MqTVWZdidbagaZIkkY3c+R1y41fgSoQLH4DMrTDjb7B/FdqbQ0i4eS7ZriZRMS0u3cSjcpHhQtBdBIWXgPLacS8VQCRi4Dr6h6HwSOheJ5GIgPd/2MWiLRlx5+7KDjDp/R9J8ug8NrwDTsOwDYYqgFflxDQUjiJXvIm71wQCnEDxsRJgb4RVMIau8b+lOxn63EIu+Pc8LvrvAv49cyNZgUhxASpNk6zdlxtlKBzLF6v2kReyPQvVESkFfmMf+uvnIz+9BdZ8auVtv3cN7FkGlz5rDTQjyFl/xyNKXJd+RwEJP76A4+Vz0V7sifZcJzxf3EyyuR9Ns+PsKxqlrO1OpxD0bZ5W5th2dZPYnlHA/I2HueeDlYTtGIYqgYYJh2JL9wMQDiDCBWfuhH4FtmehAolokj9/+jNzNx4qbisMGbzx3XZ+3JXNC9d1xmGYKCn4aEXp0rTHMm/jIUZ0rGOr+1UzEkQe2sdjIf9g6c7VU6BxP6jVDg6sQWydg5MgBbjxaUXoCx5DLv9f1BSxbR7am4Px3zyPTOIoRdqcUSIRg8s61mXinC0UxDD629ZJwqVL8ousUvfLdmSRXRQh3Slt70IlRyHAnWwJrDXqA80uAN0Nugu8NawRriQIV/CJngS2eVpBCAGHC8JRhsKx/Lgzmx2ZgeJgkxM9FGyvcvVEj+TB/tXxB6x4EzqNtP5blNzOLlWAXPFm7DkFhxE/f4RTt70LlQWvgA9u7U39IxVlj9K9UQoPX9GOZduzePeWXjRK8wKwancO0vYuVEocDg2HQ0NKQUAmYp53P4z5DFpcBHn7oGFv2LMCvvwtfPU7xHfPkKploldyb5/tWaggHA6Nb5btKXPMlBW7+fuQVhgRk6u61mP62gNxx57fMp2IHeRYrRACKMgse1D2LvDVAEC1HEpQuC0Dc/9qaHM5NB8AUoNdP8DqDyFkuTzl2qk4215HiIRyXoXNyWAaJvW8Oh/e0ptDBSG2HMqnjt/D+v253Pb2cg7nh5iyfDdPX9uJ0a8tPVI7xn5DqCzouoZX5OMwCmD9t1CYgWp8HmZKC0S74fD25WBE4LJnYdLlxfchgPjhVbSfp5A0fhZZolYFrqJsbGOhAjnRra7UUUEnkw51/bSomcCmg6XTOS9uX5skl2aXqq1mKAX40sselNYccveCw4t54d8JGG40TSBrtYHd9WH+k2CEoNkAGPUxzHkUts0DTY/yRNhUPIahUFLxx49/4nB+iJxAmPAx9QP2ZAf4ctU+LutUh/b1qk+qbFXmaPCxlrcbsXUOzHusxA08/wm0vvehgvmQsQUGPQxzH40yFIoJZCFnPYjnov8A7jO5hJPGflpUEOGwyZB2taPaNCmiBFqu6loP44i3wKVM3hzbg2u618elW5ctya1z9wXN+MewNnYmRDVECFC623JbxqPHeFTWDtQts8EMk1K0kWR1CDHpUlj0PGTvhLz9sPJdeOcq6PsbSGuG2XkUQWF7FSobgYjJ+v35HM4PRRkKR/n8p72M69sEpx2sUOFIKfCb+9E/ugFRcNAyBI6/Lg3PQax81/rvOp1g5+K4xxMbvsSlCsvxjH8dtmehglBKke5zcF6LGjh1yahejZACDAUOTbBkawZN0nyYhmUsmKbCJQx+P6A5d1/QnLBh4tQkHikw7aDGakmyno828+8w9En4aBxkbI7qV+f9Dhr0RvlqIT+4Hi1zK3S/CcIBy9twPKECmPUw9L0fs/EFVa5E7tlA+ARGf2HQINntQBj2PV/R+EQB2qe3QvOBsOyN2IOkDuEjBoAZKfuApgGq8l5X21ioQKQQ/H1YW5bvyOK+D1eSfUSExefUuHdgS46Pd1EKiJi4AbcATJOzRNTtrEML5yO//SOi9cWw/isY+E8wgrBrKbiSoO3liGAebPwG8dXvSia2HAIfjol/4L0rUA16kWMmYe95Vz4SXTpep0ZhnFToXk1S0OzrVilwmPmwexl0GQM/fRB7UP4BSG1qaaIE8yCpbmxDHqBmWwzhqrTFw+xtiArC4dD4cU8Oa/bm8qdPVhcbCgAFIYN/fbWOWRsPoemVX9nL5vQjQzkITbe8CXMfhck3wIx/QOYW2LkIXr0AwgWw/svjJuoQiV/2GMA07GJklRW3FNxyXtOYfULA7y5qhcPegqhQhACPHkYKYNQnUK8r9LnXSpE8ljqdwJsK/f5g/b36I7jgL3GPq/r9HqW54vZXNLaxUEEUGIqisMlL87bEHfPMzE0U2g/1s5P8g9DpOlj6aklbzi7YNAO2L7CCFmc9DK2HRs/L2Ax1Osc/ricF0+GL329ToaiIwejeDbnrgmbFsUkA6YkuXh3djdo+p23oVSBCCJL1PHxz/oR4oSe8cyW80t8KGh75HiTWsQZ2Hw9974MZf4dQvmVMpDQGlx8G/APcx2iceFNh6FOIAz/jCGXF/NzKgL0NUUEoIM3nZP3+2KqMAIfyghRFTBJcGiagCQjZSo1nB64kCOZCUU78MftWwoC/R7ct/5/1JjNlXMwpZp/fEpBJYH+NKh26Lik0QRiKG3o1YnTvRhzILcKhSWt7QmBnQFQwSVoe2ofXI/b+WNJoGrDuCwgXwcjJEMiwBJdmPwSHN8FXv4MeN1sGxAcjoW4XuPpIjIOQEAla9+3Gb6FhX/A3qpjFnQDbWKggJODUJboURMp4U9Ck4PWlu9h4IJ82tRO5oktdvEIg7GCFao1y+xGB+LUCAHB4LDW4Yzm8CfavgqFPwexHLOU4AN2Nee5vCLe7lmC4su6Knr0YmuTHvXk8NX0DGw/k43NqXNezATed2wS3MjFN07bvKhgpBVruzmhD4Sjn/wnSW8PXv4d9P1naJ51GQu8JMOUm+OE1SG4EnlRLsn3Np0dSl1V0BoUn+Uwt55SxjYUKwi3A49S4qF0tvlq9P+aYbo1SmLX+IM/NtqLgv12zn+fmbObFG7rSpU6ClTphUy0xPDUQoXxE3a6wd0XsQe1HoLxp1pju4yw3Z7jQKjSVux916zzMwiwwwqjEOgREAkWR6Fv+qEKo7dquQDTJtDUHeOTLdcVNBSGD1xduZ876Q7w9viduqTDt7JUKRdclYv0XpTs6X28Z7R+NLWnL2W1pnNTrCpe/AB9cbxkIna4ruZ/VcdczoRam1xZlsjkOwzCpleDkrguas3hrJpkFIeqneBjRvQENUjzkFUXoWN/PPR9EW7GGqZjw7grm3N8ftx0VXW1RCvL02iRe+l/E/4aUFnLx10f1vh3Dk4522XOIT26Gg0d+bIREtbkMs8E5ZLmbWy8ux72WevUgbjMfDq0HzYFKa0mABIoM+5FwpgkCT34bu9jQ1sMFfP7TXnxOjQGtax3xMtj3fYWhxwhA7HyDFbsQiz0rLJ2TOp0sI+G830KTIzEOx6I5Ma9+k3ySqKwRRfaToQKRYYN0j4OpE85l/f48lII3F23n7QN51Epyo0vBH4e05v4PfyJ4zFtFxFTMWn+QK9rVsgtHVWOCYYXpakzSbd8hFr+A2Pg1aE5Ux+ug8/XkixS84SzEm5eUbDcAKBOxdioykEXCpa+QZ0Q/fvyOQvSFTyCXv1HydqO78Q14EL3VVeQb0fUJbMoPh0Nnzf7cqPv7eL5avZ+hHWpz3WuLmXxLbxymfc9XBOGwgWp7JSx4qqQxpbGlzhgJxp+45hNoOdjanvj0dtQ1b0OPWxBLXoSibFSjvtDzZpRw4SUPITyVskBYuWZDFBQU8Mgjj9C3b186duzIlVdeyaxZs05q7s6dO5kwYQLdunWjS5cu3HLLLWzevDnm2EmTJjF48GDat2/PwIEDefXVVzGryp5+xMAN7Mkq5LZ3lrNoSwaH80Os2ZvLA1N/5tMf9/DQ5e1LTdtyqAAh7L3n6k7YEGSYNcg/968Ex3xL8IZp5HaawOFwMqYJYs2UaEPhGMS2eThCmRz7NXHpCn3Fa8hlr0W7QSNFyG//hOvgcvRjovClFPi0IEkyF58WsEtbnyYMTVIoBDM3HyanqGyxnrBhoknJrswAn63ca6dTVxBKQdiVhmp/dUmj5iwRXYpHqBCOpkQaQZQ3jZy6AzCGv4o6/y+IUAHi5X5oz3XE9d7l6IfXICqhOFO5Ggt33XUXX3zxBffeey8vv/wyzZs356677mLevHllzsvIyOD6669nz549PP744zz99NPk5OQwatQo9u+P3t+fOHEijz76KEOHDuX111/n6quv5j//+Q9PP/10eS7ttBIEHvlqfcy+WesOkuDSqeOPDmRrXy+p6hhENr+aoohGrukn10widOS3xaEKkZu+LXOe2L0MTSu5zb0qF7nkxbjj5eyH8KpcAHxaEckF6/B8PQHXO0PxfjYW/+HFJOmVV5K2KmBokk9+2sf5/57HHz9ZTW2/G1mGDdavZTordlopdR8u302hnRFRYeQZPsID/4V58VOQVM+SU6/dsexJTc6DfStRjfpijp9NnrsRTjMfOeNviMk3wMp3LNVVgMMbEf+7GL0wdhxbRVJu2xDz5s3j+++/5/nnn2fQoEEA9O7dm127dvHYY4/Rv3//uHNff/11cnNz+fjjj6lVywr46Ny5MwMGDODFF1/kn//8JwBZWVm89NJL3HDDDdx7770A9OrVi0AgwGuvvcaoUaOoXbt23M+pDOi6ZPGWDIwy9iGnrdrLgDa1eGfxDgC8To0+zdKI2AFPZzVKaOC0ShbjTYWa7Sz9hb0/Wv8PKFdilEtThAssJbl4HFyLRgSPDOLe8BHy2z+X9GVtR9vxHaLbTST2+RN5hrccVlW9kVKwJSvAE0diFAylmL/xMFd2rc+U5btLjU/2OhjUthYjX7FqCgTDhh2pVAEIIYo9bjlhL46W1+NtMRSJiRAC2eoSxIYvS090+6HrGMg/hJHUkBzTj2koEkQeYs3HsT8sVAA/vI6r5/0Ew5VHCqnczmTGjBkkJiYyYMCA4jYhBMOHD2fr1q1xtxQAZs6cybnnnltsKACkpKRwwQUXMGPGjOK2BQsWEAwGGT58eNT84cOHE4lETnrLo2IR5ATKdkPmByO4Hdal8jk1Jt3UE3tX2Sao3Ji97oQrJsLlE6F+D6sk9ehP4bz7LRdpve7Rufmas+yDOhNQSDzkI6c/EHOIXP4GjsA+7F2wUycsBM/Ojn72vTJ/CwPb1GJ83yb4nCVbDN0bpfDiDd14ZNra4vTqC1vXxGNvBZ0xhBAkafmkBNaTtPJ5kta8QSoHcKoCcowksoxkMiN+uPhx6HiNpaB6lFrt4fqPoCgXwoVo4TwSRS5OpwaHYge0Fn/u5hlWuetKRLl5FjZt2kTz5s2RMtoeadWqFQAbN26kefPmpeYVFRWxc+dOhgwZUqqvVatWTJs2jYyMDNLS0ti0aRNCCFq0aBE1rnHjxrjdbjZt2nQaV/TrEEIgpcA0zag3PcMw6dEopcy557VIx+/W+c+1nejeKAU3CtN2RZ71mKaJSG+Fmvt/iD3Lozt73oIa9zWFRL/9h6QXT8PecavfmV3GENKT8Kx7v3Rq1zHIZW/g7P8vgmH7PfdUiJiKzceVmQ8bijvfW8HwLvV4cVQ30nxO8oIRVu3O4Xcf/cSebMtF7XFo3Ny3Ccr2KJ4RhIBkPRfto1HR99eMB3D3moDW+z5yI9ZrmxmJoCXUgjFTrWBHzQXuJNg0HRb8G8IBBOBMa4Y+/HVLI6UsnF6gcsWmlJuxkJ2dTePGjUu1+/3+4v5Y5OTkoJQqHncsycnJxXPT0tLIzs7G4/HgdJZ+W0pKSor7GSeDEOD3//r3d1MpsgMRtmcUcjCviGY1E0hPcJHsLvmnN506HeolsXpPbqn5fo+DYR3rkO5zAqpSRsmebvQjAVyn49+/KnKy65eRfJj2QGlDASyZ6Mb9cNfqjCvqO+NBXfoc4o2LIHCctGxqU8S5d+P0eBGFZQtCiUAGXrfE7T2Bp+IXUJ2vf24wQt1kDwfzoqPnDVMxZflupizfzbe/6cfirYd5df42Co4otrapk8iTV3eiVqILrawAh2pAZbn+MpKPNu0vMe8vuWQizgY9SG51mfVMDvpg23z4/jnrx6PnbWCEYdnr0RMztiDfHIy6cyk4faVToo+getyKnpSG/ww/78vyFpZr6mRZ0foniuQ/HZH+FZ0tEDEVa/bnceukZWQdUyiqde1EXhvTnZoJ1oM22a3zypju/GHKKhZsOlw8rll6AhNv6EKax4E6G6wEm1NCC+Yi1n0et1/MexzZoBeGKy2qPeJvgn7bAvjxbWu+5kR1GY1qPYyIO90K+27cF8qIQ1bNBqA0p1248hTxu3XuOL8pt70dW2irRc0EUn0Obu/fjGu6NyS/KIJDE/hcGsluxxk+27Mb6/76LG6/mPc4slEfDFcapjsVOfQpSxPFNKDNpfD2FbEnRoKw4VvU0H8jpt5eqlvV6QxNz690L4blZiwkJyfHfLPPybG07mN5Do62CyFizj3adtTDkJycTCAQIBQKlfIu5Obmxv2Mk0EpyMkJ/OL5AIVCMuq1JaVyqNfvz+PG//3ApHHdcR7ZTnAIwRNXtKfIVGQUhPB7HPh0iVtAbu6vO4+qxtE3il/7719VOdn1p0by0MrYKuDQesxwhJyiWMdJxtn5blwdx6GAoEwiHDQhaI1NTm6G42hp3ePxpGA2v4js7PK5PtX9+neq6+eqrvX4eMWeqPZUn5OJ13fB79JBgSMcIUUDUBCMkBMsO7apulBZrn+qkV/2/XV4Y/H95dQF7sSmOCb8gJz1IBRmWp6FOIiF/yYyfg5y3LeIOY9YEtKeFMwet0Cna4m40ipk/WlpCXG9C+VmLDRv3pzp06djmmZU3MLGjRsBaNmyZcx5brebBg0aFI87lo0bN5KamkpaWlrxZyil2LRpE+3atSset2PHDoqKikrFMpxJdF3y0dLdccVWthzK50BukIYJTpRSKKXQlSIBqFc3CbBulsqXbWtTaTjRvmdSvTJf/EMRCJFg/XFcGm6umUTyDZ+iTbnRKlh1lJQmGNe+R65KxnYrnByaJgkqiGC5eZ1K8fuBLRjTuxHvLNlJTiDMBa3SOa9FOl7seIRKw4nuL399EJCqZSJWf4zcuRDlq4XZ5zcIdxJCapaXIeaxvRgm5CS0x3PZ6zgIo5QgIP14XO7YcyqYcjMWBg0axJQpU5g9ezYDBw4sbp86dSpNmjSJGdx4lIEDB/Luu+9y6NAh0tPTAcurMGfOHC655JLicf369cPpdPLZZ59FGQuffvopuq5z4YUXlsPKTo6ggmU7Mssc8/PeXJq0SScSsR+6NqdOSPrwNDwHdi6K2W+eczeFws8v+VE3TUW2rEHCiA/QwzmW1n1CTQx3DfLx29UPTxJDk2zJCvCvr9ezancOTk1yaac63HthCxomOnlgUAsMQCqIRAz75aASERI+3I37IbbPj9lv9r4bLZSHfO2CYmEmAYif3kP1vA0u+Td88ZvYc7uMoUjzY4YVBccGIZuq0ma6lZux0L9/f3r16sUDDzxAdnY29evXZ+rUqSxfvpyJEycWjxs9ejRLly5lw4aSVJLx48fz+eefc+utt3LnnXei6zovvvgiuq5z++0lezwpKSncdtttTJw4kcTERHr16sXKlSt57bXXGDNmDHXq1Cmv5Z0QXQhq+MoO/kpLcFa6fSmbqkOh8uG8bCLapEsgd29Un2o+EKPVpYR/RbaCaSpySQCZgEyrb9UkMAD77fekkLrkh125THivJD4hZJh8vGIPczccYuqEc3EfefO0/0UrH4XKi/PS56z7KydaA0M1HwRtLkG+cn5MBUex9GXU6KkIfwPI2RXdmdoUs+N1hKpYJpFQ5Rg5l5+fz9NPP823335Lbm4uzZs3584774zyNMQyFgC2b9/O448/zpIlS1BK0a1bN/74xz+W2lpQSvHWW2/x3nvvsXfvXmrWrMm1117LLbfcUipt81QwTUVGRv6JB8ZBSsG23BBXvxz7rc/tkMy8rx+uGG9olWXPrqKw13/y69c0SZLIRm6fj1z/GUr3YHYfTyS5GbmRhDLnevQIbpWHNIpAc2JINwUqkXAFp+ZVl+sflJIrXvyew/mhmP039WnMnX0bl6omWV3W/0upTOvXNEGSyEHuWoRc+ynK4cXsdhOGvwlazna0NwfHnataDkENegTx9e8RO78HVyJmlxsxu423xJniCPFV5PrT0hKKK9EeT7kaC1WZX2ssAEQ0ybNztvD+D9GWpRTwwvVd6V43qdReMVSum6UisNd/6uvXdWnte0pJKCLLrEwohLDyxxc8gfjpfYgUgcMLHa9B9bqdiCuFnLCvwrxe1eX6H44oLv7vgrj9aT4nn004F5dpGwvHUhnXr+sSXRggJKGIdQ/5d3+N9sn4+JNqd6Domo8w0XAQQgFFMolguOwsvcpqLNhVJ8sR3TC554JmXNqpLq8u2MrBvCDt6/kZ36cxyQ4tpqFgY/NLiERMIsUiLtG/8lIKlLKC66QU+MhF+/B6KwL7KOFCWP4m4uA69L734a/ZiexI4plbQDXkRHEdYfv+rzJY95fg6L0lhIK0+HF3AKpWByLCQyCiwdFIhCoclGIbC+WMbpi0SnHz+OXtCJsKlybAMFH2g8KmnPFqIdzkIw5vtCKzkxuicg4ijGC0oXAsu5YglIE8uAot/Tw7kPFXkOxx4HNqxcJKxzOgdS1cEjtgoQqiFBiemmjpreFQjCKAQmCeczdFRuVSYfw1VJ4qFdUY01QIw8SpFCpi2kGNNieNlOIXlYX2OwrxLHkK7fkuyPeuRrwzHPFSH+SuRYjQCapGbpmDtucH3NjVJX8NHgn3Doydvu3SJXed3wxhG2NVljyVhHHdB5DaNLqj6fmY46ZjuGtEVXyt6tieBRubSog0ikjVsuHAz1b52jodCWlJ5BsnTqxyORT6qneQSyZGd0SKYNZDMPwVqNcV9sRWEURIS8teVWGfaSXAjJhc1qEObl3jv7M2kVFgBTq2r5fEo1d0wO+QKNtYqLKYpiLkSMQ96hPI2ALZOyzl020LkLP/iVPqaF3GYtbvRY6RVOVVeG1jwcamkqGFc5FrPkZ8+5fiUtMA7rZXoF/0GNnhE2Q5mDnI75+NP2DBU3DuPfGNheYDMA+sxdR9JEXykMIkgoMAPgyjaj/wzjRaxGBYm3QubJVOYdhAlwK3Zimz2ls8VZskvRDHgscQy9+AWh3g0v9aEs/HpDFrW+ei1WpP8siPyApX7Rig6uMjqUYYSpFRGKZQCIJSFtdRt6n+aJpEHliN+Op3UYYCgFg7FX3B43j0smV/ZSQARdnxBxzeGD84q+kFUHAY0e5KPBs/xPXeMBwv98YzdQz+7BX49KJTXJGNETFxmSYpmiBRgMM0bUOhiuNwaDi2z0Quf8NqaHspzPm/UnonABz4Gbn0ZVx61b7m9q9QJUIIMHSNlxdsY8h/F9D/qXlcNvF73v1xL4ZefQJlbOLjJQ8x659x+8XKd3GrvLIPIk9QcMjhAV8a9L0P3Efqp3hSLG/Deb9F1e4ES19Gfvlby70azIOdi9EmXYp7/RTcWmzdABubswWPmYVc8FRJQ8NzYOvsuOPl8jfwnOi+reTY2xCViJCU/P7jVXy3uaQ8cGZBiKemb2TlrmwevrQtuv1GUq3RMGDfT/EHGCFEMA/0lLhDQtKHu/F5iO1xcvzbXwWLXwQF6q7loEwwwphKYaCjZW9DWzwx5lQ54694Ww2jiNNfmtrGpqqgoaKLrJkRyoxcD+Yiqnjai+1ZqCRIKdiXG4wyFI5l5rqDHC4Ml1lv3KbqowB8NcoepJddaKZQeTGHPmN5C44nuRF0vgFcflSP8ailLyNm/BW1ebaVDibdaN8/Hf/gZgT2/FCtorxtbE4VEwGJtaMbHd7YgwFSmmBStb3D9h1fQUhdIygEQSHQdInDofHxj7vLnDNt1T4cjqr9hbMpm4D0o3rcGn9Anc6ENV+ZxzBNRa5eB+OWBZj9/gDpraF2B9SAv8NVr2MW5aES0q1UyvlPwqoPkdPuRn/5HFz52yGpfpnHF8E822i1OasJCD9m77tKGnYvg+7j4o5X/f5IgYjvDawK2NsQZxipCfJNwRvztzJz3UEcmuCqrvW5oVdDjBNkqoUNE6uumU11JRRWqM43wLrPEceWhgZw+zEuf5FCEjhRJcmIocgkGWeXe3B1GgdCoHQfKlKEW3cj3r+m9KRgHvK9EaibpiOang8/vQ+bplvbFMeg6vewA/RszmpCEYXRbgRi62zEltlQt4sVdJa1E9Z/UTJQSOhxM6rRuRgnesBXcmxj4QyiaYL9RQZXv7SIwmNU3f49YyNzNhzk/otaMXnZrrjzL+lQh0ikan/hbE5MxF0DfeRk1LYFyOWvQ6QIs8XFqE7Xk0vyKaUvhiIQ4kjKlgEe3YWIE48AQMEhxN4VsPA/0GoIdBsLU8ZZWg+AanweEWcqtgSDTVXmaBE1UZQNmgvDkUiB8BM5hSJqOREfiZdMRC/YiwwcRpgG9P2N9b/dy8Dpg/rdYfVHiO+ewdX3IYoiVfdlzzYWziBFSvDHj1dHGQpHWbEzG5cuaVc3iTV7c0v1d22YTJ0kF6b9RndWEHHXoKDhUFwN+iOUSUj6CJWdMXlSOClEZG4pe1DOLpAS5j8JzQfCkMdg2n2oNpdhXPQoeZGyt0FsbCozfkcB+pLnkD+8CpEgAFpqU/TLXyIvsRWhk5RoVgpyjQScSW1Icu2EKWPh4DorpqhGS1AGrK4Bfe5BLPwPmgoCZccbVWbsmIUzSNBUrN6TE7f/ng9+5JXR3bime32cRwLIXLrk+p4NeGFkF5x2PYmzikjEpMDwkG+e2FBwODTcTnA64z/odF2iFx0uLU97PMmNIP+A9d+bZ6Jqtce4exWBQU+RHUm05cptqiwePYz+3b+Ri54vNhQAyNyKnDSMBOPQKcfjOFQRzHvcMhTAUkrdvwoOrIFt82D7QlTb4USE6/QtpAKwPQtnkPAJXFx7s4tAKf42tA33DmhBIGTg0iUeCSpinGCX2uZsxKkZJKgcxKqPkft/wkxrgeo0kkKZTJERnd7oVTnIL+6CAQ9a8QixSKwDugvy9hc3qZ8/If+cvxE6Ha4NG5sKxKPyS4SUjscIIb97Bnf/RwhETqBVcgxOIw+x7vP4A1ZMgvEzCRlVdwsCbGPhjOJ1aiS5dXKLYj9029dLQijLm5CuO8mJBMA0j48vs7EBLEMhMWM58oNrwQgDR1yFC5/Cd8XL0GBglMGgGwHYu9IKWrzoEZjxt+jccE8KDH8Zpv816nPEsW9gNjZVFCGwFBbNI8/fGi2gyxhIbgiBLFj9IWLLbLz9ckFPoshwnJQXTUSKSo4Zi8IMTKFV+ee4bSycQTxScFu/pjw5fWPM/j8NaY27ahufNmeQBHKRk0cWGwrFKIWcehveO5dTRM3SExdPhG7jYOyXsHU+FB620itrtIBZD1ou1GMw211pB9baVHmUAhxHYgYGPQxJdWDJy1aJ6cTaluFQqx1y+wJ8O77D0/8v5JBWnPmj6xJNkyhFtJfN4QHNWUqevZjE2hjV4KfWjlk4g5gRg6u61OOO/k2LYxIAEl06T13dkeapXjslzeak0HWJ2DY/et/1WJRC/PRBVAxDRPNAeivrj+X/g7cug52LoOMRz8SuJdD4vKiYBlWnM0ZyU0zT3gSzqfqYnhqWzHlRDnx8M+z+wZIzP7zJ8rQtfhESayN+eh/tzcH4RRa6JkjRc/Bv/4zEmfeS+MMTpKp9eLUinNJAGEFLFTXeZ55zDwHhP4OrLB+qvrlTxdAiBjf1asgNvRqyJyuAQ5PUTHLhFqBOIW3H5uxGSgGZm8oek7EReUyOY6Hw4xjyFPKdy6zXLDMCutPSUcg/ADsWgjsZzv8TKIXa8R1Gvz+TG0nkRLoONjZVgQKS8He6HjGxV+wBm2dA5+utrYnsnYitc/DX64p8c2hxcTYBsPBpPBf8HdpfiXx9IFz7NmRstoyPY1DthhNpezWhcNW/f2xjoSIwTFxAM7/Lco0Zpv0otjklDEOhanUsc4xZuxMGGmAZDJGISUFKO3w3foX89k+W67T7eJh0uRXBfZTNM1Gth2EMefJI9oP97bSpHiihoXYuRhwNIGh6vrUl504CoUHGJti5BFpcBD+8hvTXgfeujlnFVc55CFW/K2gO+HCMlWLc9z4rA0I6oPkAVFoLcsJlyEBXIWxjoQKxn8E2vxTDMFENeoEr0XKjHo/mQLW7knA4OtagyHASTuqEb8SHOClC/G9wtKFwBLF+GrLjSGTtC+ytMZtqhCi5Xwb8HVxJ8O1fIHeP1VanEwx8CLK2gzfV2p6LVXb66NGWvQEdrra2Lz69DRJqWmqOyoQVk1BjvwE9udxXdSawYxZsbKoo+SoJY9RUy2A4Ft2Fed1k8kVyzHmGYZJn+jALMqJSJI9HLnoWD/mn74RtbCoYwzBQjfpAy8FW4aevfldiKIBV8fW9EVCzNdRohco/WPYBs3eA75gg4vyDsPFb2DQDgrmWuFk1wfYs2NhUMTx6GI/Kh8IM8KRh3v497FpqZTGktUQ16U8+iWUq0QkhrPllUXAIoWxtBZvqg1IQ8dRC9r4T8fFNsQcZIfjuP9BqKNRsU/bxUpsh8vbF7kysg+lIOroLWOWxjQUbmypEsqMAfeETiB8nlaRMpjTGHPE2gSZDCEXESenbm6aClMZljlF1uhKRHrB3IWyqEXlmImm+dCg4XNKY3NAqDZ+7D/L2waYZqMGPERFOHMmNLA9CLM69Bz65uXS7EJiXPEOB8FNdgoOrj4/Exqaa49WD6PMeQSx7PVpbIWs78vUBuIv2n1J8QVhPQjXqG7tTCMy+91FknLySnY1NZUfTBA6HtKpBAjQ8B0Z9DBc8AK0ugcH/guveg9qdMISDPOXHGPkR+NKjDyQE5pAnKPLWx7h+CqrTSCtgGKB+D8yx31CY3oNwpHoYCmB7FmxsqgxuswCx8t3YnUYI+f0zuPs9QiBycrd1vpmA44qXkVNuROxZVtLhTMC8/kNMVzKJKpeglkAwYr9X2FQtnA6BbgZQwkEYB4kqC3nwZ1AR8CRD+6uh4whLbyGQVTIxsQ7qmkmEpA8jZJLrqEfizfMQe5cjdyxEJdZFtb2cgEgkEHEhhBv3+f/C3f+vgCKCg0ISTqk6bFXANhZsbKoAQgA5OyhLM1ZsnYejbyEBkk7qmEopsoxkEq96Bz14GLFvNcpfD5nWFH7+FMdP90EkhKPlYHw9bydPpBGu4vr2NtUfh6ZIJAux8kPk9nkobyr0uAWRswu+uBdGfwJzHoNhT8Mr/SFcGH2AvH2ID0bivHkeBfiJGIosktDqDECrPwilVFSWkVIQiDgIcKzwUvUyFMA2Fmxsqg6OE+RrO30oTu3HXClFrpGAcCQgGzfFL7IQb12CyNpePEYueQl+fJvEcdPJcTUufmMSAjwyhIt8RKgQHF6Cwkeh6ba1GWwqBF0TJBZuQnvrkmIjQACs/QzaDYdL/wOREHQbA5tnljYUjlJwGLlvJdoxqcOGYZ7VacS2b9HGpgqgFJi+2laxpziY3cZTJE/OqxDr+LowEEsmWjnmxxMqQPv8TrxHUimFECTreXhn/R79+S5oL/VGe74znm/uIkXLshQmbWzOMAnkoE2+PrYRsOZT6//TmkG4CHYvLfNYYs9SdN3+iTyK/S9hY1NFKCAJ87IXjuxJHEfNNpith/2qgCoPecgfJ8UfsG8lDqMAgCQtD23ySMSaj8E84pJVJmLj12jvXEGSzP3F52Fj80sQAmTBfiubIR4/vmuJLG2ZWTpo8fjjeVLwGYfQNdvwBdtYsLGpMoQNQWGtczBvnotqMRjcfkhuiDngQSLXf0KOcepeBZdukqZlUYN96CpkBX05PPEnGCGkFGi5OxD7VsYek7EZ7eBqNM1+vNicOSztkMNlD8rfD5lbLdGkNpfGHyc1aNAT7bULSRTZp/U8qyp2zIKNTRUiYDgIupvjuXgiOkUoJSiS/iOFak7eqyAEJOv5aIufRax4C0IFoLuhwwi4/kP46EYozIye5ExAORPQNYnY8GXZx/95CvrAvhjVRJDGpvJjmgqSG5U9qFZHOLjWEl5yeOHCv8Hsh6PHCAFDn4IVk6DgEHLLDBzNry0lnX62YZv+NjZVDNNUFBgucgw/uWYSoV+w9ZAo89E+vRmxeKJlKIBVI+LHt2HG3+GSp0tP6j4OoR/JJdfL8D4AONxwisGWNja/lrAjGep3jz/g3Dth8yxLTGn5/yASsHQWOl4Ljc6FrmNgzOfQoBesngKA3PiN5XU7y7GNBRubswwhBHrBXsSOhbEH7P3RclIkN7T+ljp0vwnqdkVsmoFSoNpeUeZnmJ3HEAqfvZHjNhVDgUrAuPJNqNUuukNzoq54CRMB7a+CFgNh5Xsw/ymYMt7yqjU81xI7e/86+Ol9aD0MAOVKQon40ulnC/Y2hI3NWYbDIRErppY9aPMMuO59MMPg9EEgG4J5yPz96CpIyJmGu+NIxKr3S01VLYYQSWiAqmaiNDaVH9NUZMsUEq/9GK1gL2LPcpQ3Der3pFD5MDQ3iV0aIrfNLilTXZQNK96KPtDmWdDlBlg7FbP7zYQMQXXUTjgVbGPBxuZsRJyEU9Hhg2/+aBkOygSHF9VlFB5ZRGYoAcfAh9D63IvIP2BV1wtkY0aCGA3PIzfsK/812NgcwaFLPGYOQpgYOMhTiShPK7RWrVGKEn0E0yBH85LirVH2ATUnmAaq9WWY/kaY4bPbUADbWLCxOesIh01U2+FWZb14dLwOPrkF9vxwzMRCxNJXkLl7SR3yJGLpq4glL0I4YPWnNoXLJ1Jousv1/G1sjiIE+PUCtE1fIZdMtEpE12qHq/8DFCW3oiBS+rtoGAojrRW67rbidGLR7gpIaYJIbVqSGnyWY8cs2NicZSiliHhqo5oPjD2gQS9wJ0YbCscg1k9D5u9FLn25xFAAyNyKnHQpCZEDMaUgbGxON0laPvrntyG/vA8Ob4KiHNjxPXLSJbg3foJbix2YGCABc8CDpTtaDoHRn0GzC63UZIcHacYxKM4ybGPBxuYsJNfwwbD/QN/fgjvZanQlQa/b4YqXYP6/y5wvts6B9FalO4wwcsGTuLVw6T4bm9OIpkm0gz8jts6N2S9nPICX2HLORYZOsNVVqGvfg5ptrcYLHrCMhSlj4eV+MOkymHITcsssEvRAzOOcTdjbEDY2ZykhU8dlhmHE/8CbBpoLCg7C1rlgBMueLB2WRnQMxJbZOM8vPK6wjo3N6cUlgmjLXo4/wAjDnh/Q6g2OWdMh3/Cg6vXFM+ghhNtvbWFMviF6UFEO4uvf43L7CTYcRjhy9mb42MaCjc1ZSgFJONpdjXxzSPR2Qs02cM5dsGl67IlCWLnscx6J3e/wIqREE/KsLrxjU74IM1KiERJvTDCvzC2xwpDEldwEbc/SMmN45OyH8N7Yl5yTrOhaHbG3IWxszlIMwyTX0wTjtu9R3cZBYh1IaQwtBkPD3lCnU8x5qudtsGuJ9eZ2FFeilasOqM43oO1eTPL+OaToOTjsFHWbciAsvZjNLypzjGrQC9OMb7AqBXlaOqp+dzi0If6BcnYjjbN7K8L2LNjYnMWEDUmWSMfd9x84zv0dDmEgF78A/xsKV70G66fByvchmAvJDVF974cWgzD3r0ZKB/QYb2nsF2aA7gLNhfCmIl69AEwD6faTOOpT8rwtCBslr3gOh4augiihETKkJdVrY3MKhCIK1e5qyyNQlB3d2fZyVO8JyGAuyYWZ4G9AQPgIRByljhM2JKbmQRPSShGOh9ThLHaU2caCjc1ZjlIQiOgE8ONxmPg6j0T468GsR6BhLxj9KXiSIWMz4vvn4cv7YPCjqLt+gEUvIN6+osTL4E2FQQ9bio9LX4WiHLRJl5Fwx2KySEbTBEkiG7l5BnLj1yhnAma3m4n4m5BrJFTkP4NNFSSXZJLGfo32yU1wcJ3V2O8PKF864t0REMxFA9CceM+5C0e328mNeEsdJyg8eFpdjFgfu+aJatSXsCg972zCNhZsbGwAcOjCErYJFVqZDkl1IaUJbPgSvn8uattBHFwDOTvhh1ejD1KYCZ/fBSM/gI3TIXsHhPKR2xfgbHoFCcE9aG8NgQKrOqAAtJ8/Rra6BP/FT5NjiznZnAIRA3KcjUge+RGi4CAiEoBQAeK9a44bqZCLnsPhTsbVfhzBcHQgQ6HhxjXgIbTt35X2Ujh9mEOfolB5OZtVHMvVWDh8+DBPPvkkc+fOJRgM0rZtW373u9/RtWvXMucZhsFbb73FwoUL2bRpE7m5udStW5chQ4Ywfvx4EhJK3kB2797NgAEDYh7n1VdfpV+/fqd1TTY21RG/owB94zTkd89Azm7w14fu46F2R1j0QnR8Alj6+u+PjH0wpeD756HbjTDrIQDEnmV4mgyw3gALSpcRFhu+RG89DL3x5ad7aTbVHF0asPI9xNx/wSXPWAWijtL+Kugyyvr+CoGUOl5RQJBoL5ZSilytNkm3zEMsfh655hNQJqr1pZh97iNP1sA8y+XLy81YCAaDjB07lsLCQv72t7+RnJzMW2+9xdixY/nggw9o27Zt3LlFRUU8//zzDBs2jGuuuYaUlBRWr17NxIkTmT9/PpMnT0bXo0/9xhtvZOjQoVFtzZo1K5e12dhUJxK1AhzT/4RY+2lJY85umPVP2LMCLvo/+Op30ZNMA8Kxc9gB2LUYzr2r+E+V2gw9kgf7V8WdIr//L96G5wM1f9lCbM5KPGYOcvFE64+URiXfsYsegUgQPhwDwTyrze1HG/ggvqbDKDCiK6dGDEUmabjP/Suu3r8BICR9FBk6yhZxLD9jYcqUKWzatIlPPvmEdu2sCmA9e/bk4osv5umnn+a1116LO9ftdjNr1ixSUlKK23r16kVaWhp/+tOfmD9/PhdeeGHUnLp169K5c+dyWYuNTXVFCHAUHYg2FI5l/RfQbQx4UiCQVdKuOcDhtWIUAlmlU9hcSSXpmFJDtRoGgYyyTyZvH+JsjiCz+UWISFHJ1oEZsbJyGvS06jus/xL6/MYKTtz9A2z8GjHtPtwjahCsO4BIDN2EoohG0VGNEPvrWEy5GQszZ86kZcuWxYYCgNPpZNiwYbz66qvk5+dHbScci6ZpUYbCUTp06ADA/v37y+ekbWzOMhwOHbH8w7IHbfwWGvWxMiPAqgHh9sN170H2TkiqYxkM85+0JHcBOoywxguJOfw1CkUiXo+yKli2vgSS6kH+AVj3RclbX42WGMKBnWlpc0poTpCa5e3a8LW19dB6mJXOGymCtZ9Z2xDNLoAbp8G3DyBnP4jvhu7kkBjzkA5d4FPZyFAeoDCdSRQKP6HImV1aZaLcjIVNmzbRq1evUu2tWrXCMAy2bt1Kx44dT+mYixcvBqBly5al+l566SWeeuopdF2nQ4cOTJgwgXPOOeeXnbyNzVmCECDCZeePKyOM0I6knNVsA0Ofgo9vhsMbSwalNYOr3oAZ/7CCGjtdh7n2C9SEHyjUUigyHLgcbuSoTxE/vW9tbyQ3gGvehi2z4ftnMfr/hQAJ2DkRNqdCUPrQWg5FrP8CVn8IN3wMibXgvWujv6P7V8GKSXDNJJg6AWkGIYax4NWK8Oz5DvnNHyyDFtC8aSQOepiiRoNKbV+cLZSbsZCdnY3fX1ru9WhbVlZWqb6y2LVrF88++yw9e/ake/fuxe1Op5NrrrmGPn36UKNGDXbv3s3//vc/xo0bx3PPPcegQYN+0fkLAX5/xXwpdN16t6qoz69o7PWf4fW3vQKWvR6/v/2VqLyDiN3LrPiFj8dD3nHevYwt8O7VqPEzwOnF0BNQ/f6MQuACPEYR2qaFiE9vjpaJ/vEdGPAP1HUfQJ3OJDhd9vW31w+cyvo9MPhfsHcF5O6xts6EjDYUjhLIgjn/Bz1vReoO/N7ozxAC9B0/IKbcGD2vMAP52QQ8V7+Jo+Wl5ZoTUZHXvyy1y5MyFpYsWcKYMWNO6sMWLVpEamrqkQ+O/8ll9R1PZmYmt956Kx6PhyeffDKqr2bNmjz88MPFf3fv3p3BgwdzxRVX8MQTT/xiY8HG5mxB1WiFqNmmJE/9WGq2QdVojVG/L1qzCxC7FiOONxSOUnAIsWU2ZpvLMKUrqksLZiGm3hq7nsSsf8JdyzGcZ6+Urs2vI+yri37zLMTGb6yy0pNHxR+8czHqov/DdJb2YWmBDMT0B+JOFTP/gdawNxF3+uk47SrFSRkLTZs25dFHHz2pAx6NQ0hOTiY7O7tUf05OTnH/yZCVlcXYsWPJy8vj7bffpnbt2iec4/F4GDx4MC+//DKZmZnFxsupoBTk5FSMvOdRi7KiPr+isdd/ZtcvpY/kkVOQ0/+MWD/NUrETEtV6GOZFj5IdTsAMBnA6E0jaMid6suaANpdB8wFWEFkkDLl7yXd7i+tCOBwaSeu/QpjxQ8rVTx8Q6P5bQiHDvv72+oFfsv4EHM2uIYkMZDC37KEOD9mFOkpFf0aKCCAPro0/L3sHZlEBOcHy2yyryOuflpYQ17twUsZCeno6V1555Sl9aPPmzdm4sbQbaMOGDWiaRtOmTU94jOzsbMaOHcuhQ4eYNGkSTZo0OenPP6oHfioeDBubsxHTVGQpP56LnsE18BFEuBDl8BKSPgoNF6rYG6BQCbUovqNqtITLnoU1U2H2/4ERguYDEXU749IVhUdsAyEEZG8v8xxk1lbsO9XmeIQQeLQgLlWAMCOY0nUk0DD2RkA4YmLqElmzLcT70Xf6MJ1JqFjHkNLawihD9llI/azUZiq3QlKDBg1i48aNrFtX4toMhUJ8+eWXnHPOOXEzIY6Sk5PDuHHj2L9/P//73/9o0aLFSX92IBBg+vTpNGrUKGZWhY2NTTRKQWHERZaZSqZWnywzlYKIK2rXIBQyrEhzAGeCZSh8NA6WvGTtFRccgp/eR7w+EE/+FjTNerwYhomq17Psz6/fA6/Ix62dxeHmNlFomiRFHMY7/Tfoz3dGe74Ljv9dSOLGD0jSY2t8aJpE5u6Gc+6Me1zV41YKScKpC5K1XFI4QIrMxKcFCQkfqnkZW9cNehGSZ2csiVAqTlH6X0kwGGT48OEEg0Huv/9+/H4/kyZNYtGiRbz33nu0b9++eOxRzYTZs2cDlijTqFGjWLNmDX/961+j0i8BateuXbwd8dhjj2GaJl26dCE1NZU9e/bw5ptvsmnTJl544YVSegwni2kqMjLyf9HcX4vthrTXD5Vz/V6tCO+qNxD5+y3Bm5Xvxh5YpxPBEZOL6z2k6Lnor/SJ1mo4isMLN3wE71yNOfCfqPYjMJxJlXL9Z4LKfP3PBEfXrxXsR3tjQOlgWsDs+1uM7rdiGgZh6aXIcKAUJGn5uD4cYaXuhgth4TPW9xSs6L0OIzAHPEjIdODcPA05/3Hr+EKimg/CHPwoCA3tlb4lKb1HcXgwbppJtrNxuRY+q+htCClj+/jKzVgAOHToEE888QTz5s0rlnu+//77o7IZoLSxUJaEM8Bdd93F3XffDVjiT5MnT2bHjh0UFBSQkJBAly5duOWWW+jWrdsvPnfbWKg47PVX7vUnO/LRw3mIl8+z8tjjoO78AaW5QAhM6UIWHkS+c0W03LM7Ga58GRa/BFuteAh1w8dEGp9PdnblXH95U9mvf3nj93sQmGhLJiJn/SP2IKnDuK/ho3Goxn0x+/yWAkctvOShP3vkRbTrGOh4DWRtt3QW0lvB1nmYna6HVZORc/9V+rjeNIxb5oEZQS54ErF2qiX73PISzPP/TJ6WTtgoN4c8cJYaC1UZ21ioOOz1V/z6pRRomlU6+mig4rGk6VnI/3Yo+yC3LYD5T8DGbwBQvSZY1SgztyB2/2DpLCTUggX/hh3fl8yr0wnj+ilkFp2d7t7KcP0rEr/fgxbMRHv3Sti/Ov7Ay5+HOY9aW2CaA3PUVMzkJugTu0dLkfsbWMZFzi4wI6h7VyFe6FHicTgOs98fyO96N1JFcCnrOCHhJXDEe1HeVFZjoXxNJBsbmyqFlIJkLY/k3J9I+vlVkndOI1XLxnVcLEFIOaFeGZ47d3KJQqMRBiOM+P6/iBd7W9UsD/wM856Ed66KNhQA9v2EMO3YhbObUwx3NcLIT28FqVmeg2PJ2QVZ2ywp6GYDLE9DHEMBQK75GKeRRyDiINvwk234KYycGUOhMmMbCzY2NsARQ4FDON65BO2tociZf0dOvRXtha4k7J6NRwsVjy0kEXPgQ/EPds6E2PEM4QB8+Tuo1916gMfCnVy2OoxNtcd0JWO2HxF/gNQt2fG8vSVtuXsQgQxUn99AcsPSc1xJmIMfs7J2ykLYP4uxsP9VbGxsAEgUuWgfXAuZW6M7jBDy0/F4QgcQwjIqdE0QrtERc+SHVjGpozg80P9PlvdgTeziVGLHQmhQWgr+KKr7TZiu05PFdPR8baoWCoFqd5X1PYpFz1utlN3jX/eDBWSbKUTGfmMZs+mtILUp5jl3Y9y2EMPpRzi9VrGpeJ/d/mqC0hYIO55yk3u2sbGpOggBWuAgHNoQe4BSyGWvkdz3d4jsHcif3rX2fztci3nLfFQwDxkpRIQLweWHV/uX+XnKm4ZwJ5dUCzxKjZbQ81ZMoQPhX7weTRMkkoMsPGBFu6c0JuJMIV8llmsku83pI0el4L/xa+TshxDrPrO2EZLqQq87wJMMX9wTPUFqkFgb01BkmUk4243H1WYEoAhpiQTDghSRAyvfhz73wLwnSn9oQk3oeN1ZXTAqHraxYGNjg5QSMjaXMUBHdLgKbeqtiO0LipvFT++janfEvG4yhWYtvDN+g2h5kfWjH8/wSGtORE9A3roAsfJt5IYvQXNhdr0Rs9lFmL9SSlfXwF+0FTl5JOTsLm7XandAH/EO2bKGbTCcBqQU5frvaBgmWSINz4AncQ140MpQECC/ut8qPnYcqvMNKOlEmJbDIRRRhI4WijoSo2soib5rCfQYD0OfhO+ftwqfSR1aDYXed2BoLogvNnrWYmdDxMHOhqg47PWf+fULIUjJ+wntraGxB7S7EpXcAPHdf2N2q843UHj+/+EOZ6BNuwe6jYVPbok51rxuMjm1ziMSMXHq4DTzAUFQJhKOmL96/alaNtrL50Isyd/UpoRHf0l2JHZp4spAZf7+SylIELnooSzI3QdJdU+7xybW+nVd4lZ56CqMFsxALnoBWl4EnlTL45CzB5IboL5/HuPyl8iOJMQMSNR1iX/3t8iPx1ll17uNBW+a5VrbMhtlRCjo/QcCEcdpWcsvobJmQ9ieBRsbG5RSmP5GaL4a0ToIR+lwNWLqhLjzxeqPcJ33J/K0WiQOexa5azHisudgzr8gb581KLE25kWPEqjZjUjEetULRSB0tCi1GV9i92Rx6BKx/svYhgJA5lZk1lakv7PtXThFNE3iN/ahfXgDHFpf0l6zLfqIt8nR6sRMs/01CGEJLWm7vkdbOhEC2aihT6Ea90XMegiyd1qiXp1GQs3WiMMb0Gb+Dc+AxymMOEsdLxIxCdXvg7PPb5HfPwM7vivuU80HYgx7nkC44gyFyoxtLNjY2ACQTxL+a99Hvn2ZlbVwDCqhNuL4+IJjMUIIo4iwgCxRC0+Ti3FrEWST/qhQIQqB6UikQPgJx9H1Px3ohJHb5pQ5RuxchNa5K2YZha1sSpMkstEmXVJaUfHgWrRJw0i6aRZZnN7AwCStAMcXdyCOCHbR517Ehi9h6aslg8KFVon17Qvg8ucR712D+8K/UUjsAoJ5ES/ebhNwd70RsW0+RAKoxucRdqaRH/Ge1vOvTtjGgo2NDQARQ5Cb0JrEO5Ygfv4YuXMhylcLs8et4EtD86ZBYUbsybobKSXJMocC/BRGnEfe7Lwgjzy0DSjvCjym1FHeGmVn6SekY+++nhqaJhF7l8WUXgYgbx9y349otS84ae+CEOB0SKSKEFE64YhZ3A4Ct1tH27GkxFCQGrQcAm9eEvuAhzdacTd1OkEwH/TSxoLTqSNQhEwvhYYbvZlV68QwTJRtO5aJbSzY2NgUEzYEmaTi7HArWoexKKETjEgcKBJ734mcHUdbocMIxKLncayfRtIVL1OQ1oUio8Sde3QftLxd/6EwmN1vRvt5ilU225NiifDs+M6KepMaqukFxdsgp4rDoSGEwDDM0+5yr8zoukRunlnmGLFlFnr9ASf17+LTAriKDiAXvY7IP4DZuB+q7eVgmsiNM2HnYnz++siG51hxBcvfhLQWsG9lmRUhWTcNml5opfAe81XzaUW4IlmIpe8ic3djNj4fs+kF5Ck/EdtIOClsY8HGxqYUVgngoz/2ilAEjI43IPYst9zAx9Kgl1W45/1rIRxAvj8C723fEdTq49ZCeFQBHFoHCEhvQwAfAaPsfWGBIlnLRUQKEVInLL0UKN8JjQ2lFIavNnLcV4jVUywVyabnw/l/hvlPYba5nELKrngbC48WxGPmIn7+worBaHweZq1O5JJyVhgNSimUr2yPjfLVOCmPTaJWiPOH55GLni1ukzm7oVZb+OjG4mJjloNBwkUPQ+87YOs8ONHWkRmB1peA5sAhNMJhA58WwL36beScEkNXrp6CdPvx3/glOa7GtsFwEtjZEHGwsyEqDnv9lXf9iVoBjqKDyHWfIoL51g9xUQ588yfr/4+g2l2NMej/kMteRn7/rPUQB0vDv89vCXW5mbxI7NoPqZ4QcvO3iNkPQ+4Rhb76PTAv+Q+5roaEjfg/WV6tCM+mT5Ff/z66w+FFjf6UoqTm5Iddp7Rmn1aEe8MU5PQ/R4sAJdTCuPHLI4F9p+8xWlmvf6q5F+3F+KXGjQnLyBS1yzyGlILkvNVobw6J7rjuPfjyt/G3OcZ8BlNugmsmxd+GABj0COxaApmbMXtNwGh2ETJ/P9prcXQ/EusQHjeLbKPyiDBV1mwIW8HRxsbmpMkzfGS7mmC2G2FFon9xL0y9I8pQABCahrbhM+TCp0sMBbA0/Oc/jnPL1zj00o8fp25ahsjUO0oMBYDdPyDfGIjfPIBbi62YIwS4Q4dKGwoA4ULEe9fiMONXyYx9TIGrcDfy2z+VVgvMP4D2wbUkECfzohohBChngiWlHAPzvN8T1JNPeBy3DCK/Py79NrG2VashnqEAsOpDSwdh5yJof1XsMUn1oG4nWP8FHFyH/OJu9E9vQkbKeOnL24fM3YWw5cVPiG0s2NjYnBKmiVUcauM3UHAo9qAOVyMWPBX3GHL+43hVdql2n8qzUuJiEQ4g5j6Kr3Azbs1SdxRC4HEY+LQifC6F/OHl+CdelI04tOaU5J/dWgj5/X/iD8jYglZ4oNqXskjW89Gm3oZIrAVX/w+a9IfkRqim56NunEao660UGPEllI8izRAid3d0Y0JtK66kLDK3WEbFvCeg/ZWoc+8F1xFvgJDQcjBc9ZrlnTgGseM7ROZWqF1GhdTsHbYk+ElgxyzY2NicMqanBlpCLSsmIAbKVxORfzD+AXL3IM3Slf9EMLuUlyKKTTOQbS7D60pF1xJwFu5GLp6IyNuL2WuC9cNQBiJzK7Jm35MOtNTMIsThjWUPyt6BqNOi2mZYePQI2sInETsWwI4FkNIYOl0H7a5A5O3HzNxGMLkLJ5PpYkg3Kr0N4tjS0wUHrXLlZaBSm6LaX4Oq1xNSm2LU6Y3sfgsiEkAKhVj9IXw4OrZGyE8fWHEM8cpdpzbFPA0aH9Ud21iwsbE5ZQpIImn4q8h3r4zeZgBUnc5HKkfK+JHrUgfpKC2re6JXdKmBMpErJ+FKb42centJl78+pDaDbfPjTlfprU8pI8OULlRKY8TBtfEH+etXW0MBwK3yEcdWEM3aDnMfK/5TJtTC22QAoZPQWCgydDzn3oO2+sOSxty94EqEeIJggNlrAtlaHahRF6UUmikxlRuhp+DfOwNtfnwvFsFc0GPHx5DcECOhrp02eRLYxoKNjc0pEzYgP6Ujvtu+R373tFVJ0pWE2eMWjBYXE1ZOPK2GItZPs95Eu99k5b8rE7J3ojJ3UCR8OHWBV+UgVAQlNNCTy/zRoPUw2DoX4a+HSGsGoz+1jrluGqz7HEa8CSveLB1fAOBLx0xtgXkKwYhFpgv3ub9B2/BV7AH+Bpi+OtX6x0ZEAhApI9Yj/wBCnVzlJaUg4KqD97LnkdPuLclumP8kDH8VPhoDwbyoOebgRwm6aoMSVmXUwn2IA2tQibVRNdtCvW4w+F9QpyNEQqA7YfMsS7gplI9qcj6qVnukENHfC186xsgp5JNMcfEIm7jY2RBxsLMhKg57/VVn/UKAWwvjMAtRSIqkn3DEtGpNiENocx+FztdZe807F1mTarVDDX4MM60F4ucpVgpd/kHwpmJe9ChC0xEfjy/9YZ4UGPkBFGai9q9CLH0ZCjOtnPr2V1mSvxu/tYyTr38fnWbnScEYM41cV2Mip5i5kKAFcK18DTn/8VLnY9z4JTnORpUiG0LXJW4zD4FBRHopMvSYNtOpkiKz0F/oUsqDVIwnhcjtS1BGGBnOAyEx9AQKRHJcPQu3FsJLPmLLbMjfj2rQG1WjDUKFkVtnI3YsxPQ3QnW8jiItmSLlJpnDaO+PsMSXjlK/J+qyZxGf3w27f7DapAZtLrMM1E9uwRj7DQGRhEflWlLgeXuh4bmYtTuTS/JpvXang8qaDWEbC3GwjYWKw15/9Vi/rmskh7YhXr3AinY/loufQG1fiFj3eal5aui/IbUJYsbf4MCaI8p9F8M5EyBrB2yaDms+Lf2BNdvCgL/B2s9Q596L2r4Qsraj6vdE1etOnko+ZUPhKD4tgCuchVj5DjJ/L2aTCzGb9P9Vx4zHqV5/IcCv5aPtXIg8Wj+hQW/Mc39DoaMmRcavcyB79TDeWX9A/PxRzH416hNU3n7kzL+XeISSG2IOfZrCGl0JGKVrNBxF12WxyNXR7aHkZA8CKCgMEQpZBp9fy8P53uXRhgLAjV/Ax+MtY/N4Gp6Dedlz5MqahA0rlr8qiGpVVmPB3oawsbEpF1yqAGb8o7Sh4PZDWjPE13+IOU98dT/qtoWoq9+yIuc1JygDDAPqdoW1U2PHQxxca/1Y7fsJM5BDfutRwJEfhojJr5GaLjA8FEgPzt5/QaAwTHXkrbni37WStHz0z26JLh2euRVt9Yf4Rn6IkdajTG2KExEwHLgHPIh2YFWpsuOq1wQoOIT87LgiY9k7LXGusd9ASjtckRwEEEGnkMTiH+pYngelrH/Vo4aCEKAV7CttKDTqA3uWxzYUwPJkhYv4//buO0yq6n78+PvcO21ny8zuUqVJW5pIlaoiCIpoEBAUC4qiJiKaxEqiaPJLjPUrtoBJUKQJUQQkglKUotIFREBgQaWICAs723fKvef3x2UbU3aBXdnF83oen2Rvm3NmLnM/c8rnhOwlk/6CwfO4v6iKqamTiqJUCQd+xL4IKYIbdYN9n8U+ecO/KXBdgJnaEpl7BD75E8wYDDOut6bB3faBNYjyVLs/hjbXYyY1JhAwCARClfoLMhAI4Q8YZ5wu+nRUZO6/zaZhO/hlmUChmBlCm3838WeZB0JK8JlegrcswLz5fbjoBmT7GzHuWITscR/i079GPVFb9iTxP6/D/mZ3bK+1wzXvVry+Lbj1iue70HUN8fP28B0XdILvI9S7tB++QNfVY64yqJYFRVGqSJRf3UKL3v9dxAigYcCWWYhV/yjZnnMEVr8EDVfB4NfgvdvDXtPsNIoc0xP99asxXRfYCo8jCo6TnPMzJNYnZPeQKxMjzuJwyRy0DZOjXzD/BFrOj4h4z1mNXzBNic9MRK/dG/uAXkgEwZDEGzxcNnnWqQ5tRGg6BE526R7ahDb9WuKG/ptQo4EEjPIf5KYpkYkRMkMaAbCXk9vBHl/u9ZWKUSGXoihVIoAL2axf+I7DW6Dp5bFPvvgm7KFstNXPRd5/aKM1ar5WWpnNssMt5IiUajdorSJ0XeAJHUab8RvE5J7oM4egT+6O8/2ReDkWsS9ZSKN4LYWoCn2VlqHQMEwKAxJ/4OQYA3Hy92aDLtDnMej7Z2g5wAoI4eRU1/DPQvv4UeLJCdseiWlKZJ121vTK0tKXQdsh0U8UGrLp5b9IK9CvgQoWFEWpEgUyDrP/36wxB6XlHgV/LrJRlHUG6rSFlAutJEDR8jTYXFafdLuhJdtqpRGq36W4r7umSRI+9GmDwsYF8NNW9BnXk6SFJ6sKaW5k456xL5zSvFJX+9R1DY+eTYr5I5o/Cx7cCp1vhx++sB7gF3SC0Yus7qK0ayLnvSjMQuTFSO98ijyZiDl8mpWfo0jm91ZAcOFlEc8xL3uMQnH6i4YpkaluCEVRqoRpSnIdDUi8aznaJ49aC/wA1G6NmXgBYvAb8OUrsP0DaxCkbremvF0yBvH5y3BBx/CLulOsFSRrpVlrUyTUhdvmIY98g9luONk1tPvBZtPQ9n8ZPX22bz9axi60lO5lHvyFho24ng+ifz0nYteObHEVAT0pPPnVGbLrkqTCvWgf3Am+g9bYkTljrcGlRQ5thE1vw40zrM/03ZsiXywU4NTUB9EEDI3c1M7E37cB8dVbaD9uQibUxUxqghj6b+TOD9HW/RNyj0DtNph9/kSgXlfyQ6e3aJgSnQoWFEWpMgFTJ9PVHPfQGdhlAUKahLQ4dF3DNqkLXHwT3PxfQILQIX0JfP1f6HhreH+0O8V6AH3295KcDWANdLxhCkHNhayB3Q8Augba3iUxjxHfrcBWp2eZlhMpIc9Wh4Rb5qLNGwP5x0v2tbwa49pXyDtldU+nzcRu5oHQKRQJp9VMnygz0d4ZZI1BuOgG2LWobKBQJC8DVvzDSgtdqkwlFbaDp9FpJbPyGzb81MHZfTw2swBTc+A37ZgBib3N7bhbDUYABhr5JJ2cAaNUFhUsKIpSpUxTkosbcFsbDEgmyxpzsHGK9V+RnuOgThuYRWGzdAAAMNFJREFUPhhx9TPQrC98t8Lad8WfYMUzZQMFsPrkZ4/EedcSbPEX4DOSal76ZaEh3anEHFngTo34K9xv2DBTuhB/9+douT9CQRakNCOgJ5IXiis+x65LEuUJxMa30fZ9Cg43zq73YjS+lCwjsdz3zGGTiM0zSgYrXjQMFoyNfsIPn8MVj0fcJS+5ByFDJOp55BinNwjRHxL4cZ9MumiVORg0ySIJm03DLbNJIhOpCwq0RPxBtUhUZVDBgqIov7gADvSmfRDfryrZmFAHmvWBWSOsvz/9f3DTTEiobU2JrNUK9q+JfEEzhNj0FrqnMZ6Od+ALJUY+LgKnTVopp0MFoDvwi3hrvEUl9vOXJxAIYXa6A33Dv8N36nZoMQDa34gQkcsUNAQ+khDuJES8sMpe6le7rmskFaSjTRsEgbzi7drBDYgGXfCOmIUvlECcHsQpcxHBAqQ9Dr9IoMCwIyU4zHwryChii4u96BeA0wP1LoYj207+nQhdxyDqtUe80Rlny4HogybiC579rIVEWwGOIxvRVvzdau2IS0a/5B7cne/EF6qBAWQ1owY4KoryiyuQbuSAv5UdsNbhZquvu4g/B2bfDO5acNs8yI+yXkSRw1sQrkSrb7+CSw577XkkfPUKtjd7oE+6BP2NjsQt/h1eefQXnZ8vJQScdTC7/bbsjotvhFELkLVaoX38CInrnyeFI8TpgajXiRTkJJBldVOUChSKiB+/Qkv/hGRbDu4V47G90Ql9cjdsb3TC/enjeG3ZCCGstTucpQYMZh2C2q2iV8oeh3R5CI18H/nb1dZnOGKaNa5g3j0gTcSexeib/oXTfnZdBnF6AMc3M9H+e0tJt0hBJtrqF9Dn3IRHP7tcE4oKFhRFOQdMU5LraoR5xyJr9gNAclP4+ZT+72A+rJsEc24umY4XTVwK+HPQvpmD3VZ+sBCvF2Bb8Re0L/6vpGldSsTe5ejvDCRJlDMlsZLlGnEEej6MvG2+lZ2w6xhkiwFWl8yXE2H3YrQ1r6JPugT3/qVRA4ZI9FAuHN8bdb+WVA9tzkjEtv+WDJQ0Q4jt76HPGUmSnk0hbsxLSgUzX70DPaJ3Q8iud5EnPEgzhJgxFGYOs/77ek6ZWS7axinEmWf3MI8jD23lMxH3iSPb0A6uwWZTj7uzod49RVHOCb9hx5fYHv/IeRj3b8Zs2sfqiogkLwMc8dZiUtF0uBl2LLCCigrkFXCauYivZ0femfsz2q7/YbeX/YoUAuJsQbx6Fh4tC5fNQNc1ErQ8krQs4vXCCrdqRJITchNsfDnGiBnIXg8iPhxbdkEssDIjLryPOLOcLoDSIrQoFPM0gmAh4sjXEXeLI9vQM/chpSRUvwuyyaXWjsObrdUoe/+hbAsRWPkP0gbhkAUIMxh5kGMRfzbi1JTgp0HXBfy0JWaiL33zVJwy/4xfQ1HBgqIo55BhmGQbCZygDj5RF7Png9EP/vq/yOFvhz+YwEoEZI+DY7swO95OMBi9Wdtu13E6bda6AjFoO+fhMEsWk7PrJsnyZ+JXTcD+9XQceQdJyPya5OB+4rJ241x0P3Ef3UNyzjfEn0Y640hMpwe591MwgpEPkBLxzXs4HHrFLuhOtRIkRdKgC7L02JEiQlhTU+Nro+2Yh92uk20kYAx7CznoJWv66qrnIbEujF0Hw6bANS/CPZ9Bh5sRs4ahZ+1H6i4r0ItGd1jLSp8xEb7+yKlC/ug5O5QKUQMcFUWpFgzDJHhBNxxthyJ2nrKqpCMes+cD5Mc3Jf6+tbDmNcSPX1nTKTuMtAbbLXwA2bgXhrcpZii83z5eL8BpZCN2fAI2F8LtjV0gzQ4n5ydomiCx8AD6zOvhhimwdRZ8/hLCNKwBiF3HwFV/QxzZgVj7Kq5m/TBb3hBzxcXYBJzYF7t4x/cgKphTopB43O1vQuz/EpCQdbAkwYE0rPev+KU16HYvtB1srfKp6VC7NTYC+KWGYUhsh7dYLQoXdIJCH3zxivXAb3aFNbYkzgshP9q2WQT6PY/eaRTa+jcjlk22H3FWyZMMw7QWGIvBbHM9QS0efsFBq+cbFSwoilJtZIfiSb3mBeh2D6ybjCjMxGzaF9l+BDkkEwwKCqhPct+n0DO+tQKGNW9Azk+YPcZidrmb7FD4gyfJlo99zYtoG/9jbRAajP7IehCe2sx/ktlxFH4RD5jEi1z0xX+AXg/Ahv/A7sXWQU16Fy+LzYKxVutGp1FojXviFvkEdNcZLmQloX7HmEeYDbpiyop2eUjo8xjywDqEEYBaLawyb56J2WYopDZDrJ9ktSYMmWy1ukwbXNy0L2wuXH2fQGs7Eh0Tvv0fdLoV3r+j7GqQm962xqDcNBPsbpCSoAH2nr9H7F8b3tVRuzVGnycoNOwVf2siCOhJuCIFmWBNOW07lECEAFKpOCHVfJKITFNy/Hhu+QdWgXO5nnl1oOqv6g8QyMtByBAhLY5AMPxrymHDmvIoQ0hho0Ak4Q+FPzxtNh3PDwvQPryv7I4e91lBw9p/hheiditCtywg8+QUzBSRgT75Ehg1H965zjqmVhpc8wK8N8qauVFa/Y4w8B+YrlSy7A0JnUayqKL6a3lHsL3ZI/zaADYnxthNnDBijOE4KcmWj33Da2jrJ5cERpoN2ev3yEvuItdIwEkhjiUPITQN6raDlZHX5DBvmIrR5DLsGyZB9iHY9l7kF+16F5gGxkUj8Hk6ISV4bHnoBT+jhQoBgbTHEXLXJTtYdprqmd7/Xnse+pqX0TZPs8ZSADTugfGbN8jW65/WZ3Aunct//6mpCVHH3KhgIQoVLJw7qv6q/lB59U/Sc3DOvBZOfFd2hxBw7cvWuID1b1r7HQmYnW7H7DGOLNNT/BBLlkewzR4OvX8PH/3ROn/w69ZMjaPfRn7hyx+B498T6v83MkNJFS5vUf3zcwtIzN+DPnNo2XwGTftgDnyWgKMWhSQQjJGp0GEXJO58B+2rt631NDJ/KDPY0fzN62Q3u4FgyMRrz8OW/zNi5hDIPxH5gqnNCd72EbbCDMSUK62VHyOxxyFvnUvQ05ysUAIO3SQheBht+dNWy0avcchgAYT8yNptCTpSyDETkFKe1ecfZwvhkrmIQC7YnAS0ePJl/C+aM+NsVddgQXVDKIpSo9ntOppmJSIKBsO7FHRhWoGAOxU632GteClN6xf7lukQyMO89QNMYUOiUSAS8Yc0Sq8xIW1uK8GQ3V1y4eQLowcKYE0R7Pck2v4vsDW57rRXPwwakONOI+G3axCHv0JkHUK07A8HN6AtfhQXEudFw6HlAAqJJ99whj0U48lGa9AZHG7w51qLO53YB5/+DQp9aKufx930SrJIwheMJ8XuRo8WKAAc32fNbrDHRQ8UAIIFkFCPbMN6+CQUHkB/+0po8xtrcam5YxCFPsAaFeJo2I3kG6aSaXhP6z06VUHIRgFe0L3Wx2dATVwrpDpSwYKiKDWSQzdJIAuxeyniyNfI2q2Rra4jTyTiL9UHbkoBF15qLZ+85g1Y86rVHJ9Y3+qKcHmRaGTGaNLP07wkdf8dWmJ9a2R/MD/2wxKs6YIuL1peBon4MDUo1CuefjhBL8Ah8yDvONTvhGjQGTF9cJkWErF/DXgb4xoxDYfTS7Zem9DJeMmtF6LvXQIfP1a2rE16w00zYM6tkHUIzSzZJzU7MVd3sjlBaBjChc3ltQY3RuJOJaS5kAbEa/loSx63ZrF0GQ3Th4RNcxSHNqB9cCeJw2YArkhXVM4xNXVSUZQax6GbJPq2oU/qivbxw4gt09GW/hn9n51J+HkdLr3kYVQgPNZUv/fvtAYmFvXb5/wEy55CHt+HocdFeSVLMGjib9IfM1gA/f9qPUxtTmsmRDT1O0LyhcgfvsA25XIc0/qTsGkiKTZfudkh7QU/4/roXvTXO6K/dSX62lcRK54J70oB8B1AfDERfdtskvAB1uwNV+73iI/+EB7U7P/SGqfR6wFr2mKpqagB4UY27RO1XPKi4RSKBPI1T3i2yVLMng+QLzxWXWSBNQvjohtg6+yo+RDEoQ3YAr9sIiyl4lSwoChKjZNANtrsEeHz680Q2vu34Zal+vgF1uqIuT9HvJZYPwndLD8bYq4RR06dnhhpg5B3LUUe3QUXDY9+whXj4f07ENvmWEmlsg+jffEy+tsDSBYZeLRs4myhsPxRtsLjiHdvRBQtoAXQ6hrYMS/6a+1eBBf2Rnw9E4cN4kQB2sp/RD8+fQlc2BvZbhiFoiQHQoF0Y17zf9aU1FN5GmJePp5Cw4Y/KDA634VsOyTsMNn+RkLtbyZQFBMU5TdIbQk/RU78VCxjd+z9yjmjuiEURalRbDYN8f1qq188EtNAbJ+Lo+NYAgHDyq2w/YPoFzSCcHwPWkr3cgfCBUIaJ0hCi29HXItmuFoNQgQLEDsXlBxkj4MBf7dSVx+L8PDL+Qmx+kUczkTsgTziev+RHK0WQcNqERBZ++Hn7aecVE7iIdMAaaLtXIDz4jvQMBFFizdFIiUU+DCveLLMtEWnHsLUE9HuWQlbZ1n1EjrmxSMx2w0nW3qKF2TyBeNJ7P8C9j5/Quz7FISObN6XgM1LbrBkbIehubDVbQf+7MhBSGnu1Nj7lXNGBQuKotQomqbB0R2xjzm2E43TGVB4eimaTVOSh4s8w0V8/xdx9Ztg5RCQEpHUAOlKQkzuFf0C2+fCiHcQ796Evv0DEsd8is/W0Oqe+G5l+PH+bGuMRc5Pka8Xl2xNF9RsSASm0CC+dsw0yzK5KVkkI6W0unWMY4gv/ml1GbiS4bKHoM1gpKbjd9YjN2Dj1MGCOYYbNDe2NncCEAoZZVa7BMgjCfvVz6Etfggu/SN8vzpygVxepLdp1PIq55bqhlAUpUYxTRPqtIt9TJ12mCe/3vx6EuZFI6IfrDsgteUZT6/LM+I4LuviazCQgkb9KExojCz91epIgPYjoPvvoNUga4xAsOBkhkggkIv28aO4Rb41rtDlCX+RLTOsRFXRdB0DX8/B7HALfj2JAuHF7DEu+vGpzQnavVY2Rh0Ss7ajvdkTseltqzXk4Dp490ZY/AjixHc4D63CHuOnZShkWIFCBIZh4k9ph7zqH+BItLpUTqXZMG+YSi4Vn2Kq/LJUsKAoSo0SCpnICy+3mvsj0XRE62vRDWvhoEBQItvfCIn1Ih5uXvowBcRYu+A0ypUXtJNjJmHYE8HlhUsfgpGzrBkUJ76D1BZwx0IrVfKxkmmX4ofV2GW+9cBteVX4Qlj7PoOkBnDJ3WX3CQEdb4UmveCnrzHbDCEYNAmFDIzmA5DN+oYX1JloJVfSndhtmjX+44M7I8/uOLAWcn5CO7GPeE4/74yuC5Jt2Th3fYDY9T+wuZBX/QN583+t1ND12mN2vRvjvnXkpnYiaJz5IlxK1VJJmaJQSZnOHVV/VX+IXX+HbpKYtQ1t1vCSbH1g/Wof/Drs+xSz671kJrTDNCW6ruGRx9A+fdp6aJkGJDXAvPxxAs0HkhNyR32tM+G0SxIyNqId2hCeDVG3w8h3Yef/rDwPJ4Xu/4pM6pLsNtA3volY+WzZ84SGHPwGNOkJBzcgzJCVbfHYLmQgF1pcTRapxUmahIAkPRf96Hb0jZPBn4Ns3h/aDkas/zcc3YHZaRSiblvEf/pFr0z9DnDFn5AuL4HEC08mTyr/PRACkrUT6NMGQdahsjub9sG8fhIBQyeouSkMlfxuVfd/9UzKVKXBQkZGBi+++CIrV67E7/fTtm1bHnnkETp3jr3oB8D48eOZPz88z3eHDh14772yKUaDwSCTJ09m/vz5HDt2jCZNmjB69GhGjIjR9FgOFSycO6r+qv5Qfv1T7DnoWT9Yv35PfGcttdz0Mtj4Fmz/ANm4F4VDppFrWNcTAuL0gLVUsaYjNTv50k0gUPmrETpskBQ4EH3cgt0NN8+B6YOtvz0NCdyxlCwjCY8nDj2QBT9tRV/9HBzbA54GmL1+T6hJH6QUODZOQuxdAsf3lqxMGV8b447F+PQLynSp6LqGUxQSRx5a+lJIusCa9hnMh90fQ/N+8MGY6JXxNobLHob//R7ZtA+h6/+NL1h+S4zbFsC97KGygz9LkRePJK/vsxSEyk4/Vfd/9QwWqmyAo9/vZ/To0eTn5zNhwgS8Xi/Tpk1j9OjRzJkzh7Zt25Z7DbfbzdSpU8tsi48Pv0n/8pe/8NFHH/HHP/6RNm3asHLlSp588klCoRA333xzpdVJUZRqpNAH7wyCRt2tJvofvrCWTD45VU8cXIddBAHry1dK0KSBCOUj9iwBM0RCywGEXHUwpYYd68s5iPO0UgRrmkBKWfxrO0EvwHliByLWVMdgPhxPh9qtrWW1+044mZfAuojh8JCb2oO4oTPRZRATnQItCSQk/bgMseaV8GvmHUP/YDSJt3yINILYjAJAYuDG0OMRWUcg83tY8XcoyLRmJnS5E+peFLuCF3QuntUhvl+F/tUUnF0eLDe5lNPMs1pxohA75uG64kkr46JS7VVZsDB37lzS09OZN28e7dpZg5G6devGNddcw8svv8yUKVPKvYau63Ts2DHmMenp6cydO5c//elPjB49GoDu3btz9OhRJk6cyLBhw3A6nWdbHUVRqhvNbkUAB9ZF3u8o21zusedh/+wviG2zSzZ+9le0Fv3hyqcQb10FoUL0Jr1xXvUMuXEX4jcif0UKYWUmdBjZcDQd4pIxkxrh1z049y5BO7YTsn+MXf7sw+BpjNllDP4m/QiesiqiYZjkUqp7xDRJ1PPQIwUKRS7ojD1jB+LjR4tXg9RTmyMHPo84tgvWvlFybCAPvl8FDbtbKZj3fByhohp0vRN2fQy3zgVNR5PgFnn4KWdZaTMYdUVPq4KBqAmalOqnygY4Ll++nLS0tOJAAcDhcHDdddexZs0acnMrp4l/+fLlCCEYPHhwme3Dhg0jKyuLdeuifJEoilKjhWwJ1i/zKMzOt1MgrFUjHTaB7dv5JYFCQl0rw2JSA8Te5YgtM+GOj8DmROz/Eu2t/sTn7YuYaVEI8Npyce2Zh358N7oG+t4l2GcOJj5wGG3F3yDrINRqFbP8slEPQr95ndxWI8kNRc8gWXo8oyZD4f3/RWq3hrSrrYWgSi8bfXwfYtZwqzuhfgdrWe4+j8Nt86wg4eh2uOY5ZNrVZa/n8sL1k6xpmWYA3rsdZgyF925DX/sayfbcsHGYZeqnOyG+VvQDEutZ6aWVGqHKWhbS09Pp3r172PZWrVphGAbfffcdF198ccxr5Ofn06tXLzIzM6lXrx5XX301DzzwQJmuiPT0dGrVqkVKStlkH61aWf9Q9+zZQ58+0dOXKopSM+WRhG3wJGsAXelBjgDexshu9xUvWR0ns9DWvGINCOz7Z6uf/8T34GlgPQy/fM3qvrjqGVj8CJgh9I8fxT18NjmnzJRIsBWi5/2EOLwZPvub9eu4RX/4zSsIf46VKXLPErh9AWz4d+Rfzwl1CNVqiy8Qve8/yVGI3cizVmaUEmlPwNDsUKsl5B0LP+GSu2H1S9HXdVjxDxg+FTLSYd9yeOfakn1fvALXTURe9Qwc220NnnTEW4HF4kfg4IaSYwN5iHWT0A9vxTNsatTxC/nCQ2KvP6AtezLifvPSR8gXXtRCTzVDlQULPp8Pjyd8vnDRtszM2DnAW7duTevWrUlLS8MwDNasWcOMGTPYtGkTs2fPxm63F7+O1+uN+jo+n++Myi9EyUCTX5rNpgPn7vXPNVV/VX+oWP1Nd1u0+9bAFxMRe5dZU/M63gYdb8GIq0vRN5AtL9NqTbjq7zD/t1YXQBF3Cgx502pyT25iBQ8FmXB4Mw4K8XjK/jq2Zx9BzBhadhGlXYtg73K4YxHUSrN+2W98C4ZMhoUPlA1m4msjRy2EhLp4IiSDshFA+PbDyucR+78AZ6K1rkKzK9D9ucg+jyOmXx/+ZqQ2h5+2Rn+zju2CQC4UnIDN08vu82cjPhiD7H4f5hV/Rvv8JcQ378GgF8sGCqWIA2uwZe4htVYrQs4omRcvHonMOojY+J+StM9CQ/a4H9oNJc7h4tRPWd3/567+sVqKKhQsrF+/nttvv71CL7Z27driX/kixivH2gcUjz8octlll9G0aVMmTJjA4sWLuf76kn8ska5VtK2811EUpeaSmp1gYhO0q55Du+LP1oqIzmSk0MseqNmsBaDm3mmt01Ba/glr+72rYdt/rRUqvy0amFf2V68WyodP/1/k1RZDfutX+OWPwrx7YPsHVvKl2+bCzzsg+ydk/Q7QsBshd11khEBBIBGHNiJmDi3p7887BqtfhG8XIga9hIxLRfZ9ErHymbKtCHoFxmY54uGLl6PuFpvfQfQch+wxFnQ7Yu/ymJcT2+chhI790j8QdNcPf0ucyWh9/oze8344vBnQ4IJOGM4kTFs5Yx6UaqVCwUKzZs149tlnyz8QSEiwbgCv1xvxV31WVlbx/tM1ePBgnn76abZu3VocLHi9Xvbs2RN2bNFrR2rdqAgpz93UHTV1SNUfVP1Pv/7W+AT84cmF4hyJxOcdQ5waKBQJ5FnTCL2NIP/kMXXaEsRFTnZB8TM5Wc9G7F4UvQg/bYV6F1lZIY2Atcrl7sXWjAOvNZgxM+RBZhVGPN2rZyPm/zbywMBju+H71Yj8E4R6P4y4aDhizydQkGklX/I2QmvcC3FgTeSyXXByyrrvgBU82ZxWvUsLFiD9eWTqF+DpPg7bqmdiJ8IWAvKPwdKnCA54ifyQI8JBOpCCXn8AAEZIQggg8uer7v9zO3Uy2u/rCgULtWvXZtiwYaf1oi1atIj4EN+9eze6rtOsWbPTuh5QvICJppUMOmrRogWLFy8mMzOT5OSS9eiLXjstLe20X0dRlPOLgQ5Hvol90OHN0OM+q/tAaJhD/41NGCTn7bTWXEioi9C02CP8AWmayHs/R6z4O2LvUkhsgLz0IWSDzoSEE13XCIUi53bQ/JnR138A+Gautb6CNDhh1sLe5g6rfoYJBngHPo/+1pXh2Rg1G1zxuDVlc8R0cCWBPwfiU2HfClg3yQochIa0OZEmZPvtJLe/0epCiKbFlfDRQ4j84ziv/Cv5RAoWOFlGNTahJquy2RADBgxgz549fPttSUrTQCDAokWL6NmzZ3ELxOlYuHAhpmnSoUOH4m39+/dHSsnChQvLHDt//nySkpIiDrJUFOXXRUqQSY1iH5RY30pYZI9D3rcO8e1H6P/sjD71KvS3+mF7syfavs/gmpdiXkM6kzihNyT/6lcwxm1BDn8Lvnkfbdp1OOeOJOnHpXhseZHPD+bHLqM/20rodPKrOxg0CAYNTFNimpJcZ2Pk3Z9B01KDui+8FG55z1oe2p8LyybAjCHw3ih45zprfMVNs6yppi2vIqBZ382mKQkmNEJeeGnksjTpBYXZ1oBOMxQ5XbRy3qiyAY7Dhw9n1qxZjBs3jocffhiPx8P06dM5evQor7zySplj+/WzUo1+9tlnAPz444889thjXHvttTRu3BjDMFi7di0zZ86kU6dODBo0qPjctLQ0hg0bxssvv4yUkrZt27JixQoWLlzIU089hcvlqqoqKopSQwSDhjU1cOn46C0DaVcjv3wNc9RCtO3vI1afkqbZn41YeD/ylvcQ9dpHbKmQ/Z4iR6QipYlpaogDKxEfji05IOsQ+tzRaK2vI+mql8g2TvnRlFDPagWIln+gSS+kNCkU4TMQhACpOwi562C79mWENKxBm74DsPwvcM3z1tTH0oMtpQk7P7S2Dfh/mM36k2+4KBqrkWMm4BnyFraNkxCbplrBijMJOt4MaQPhPatlg7hkpM0VtuKkcv6o0nTPx44d44UXXmDVqlXF6Z4ffvhhunbtWua4U4OFrKwsnnjiCXbu3ElGRgZSSho1asTAgQO59957wwKAQCDApEmTWLBgARkZGTRq1Ig777yTG2+88YzLrtI9nzuq/qr+UPn1d+kB4g8sQ/vwd+HTC/s8Zg1Q/PJV5INbEf/pa82IiKRee+SQNxHvjiiZVeFOwez3NP5mg4rTS6foPvR/do76i9sYtRCft0uZTJFuPYB7zTOITW+Fn6DpcPtCDE8TMg1vcRU0TZAgcrCFstECuVZwcmxXyTltBlsLWn31DkS67kly3CZOiPoRM1fGOyVxeT8g8o5ZyZa+mWsFGSfrZvZ9kpyLf0egEnIsqfu/eqZ7VgtJRaGChXNH1V/VHyq3/pom0HWNOK0Qhy8dsXkanNgHnoZw8Ug4tAFWvQCAvOez2AsrAcaD32CiowVzQJqYjiTyRRKBk3kddF3Dc3gZ+tw7ol5Dpl1D3jWTKQiVbeBNdRUgVj2L2Dy9pIUhsR7y2onIeh3xmR5rjMLJenlFJvrcUTDwWZh1o/Xr/9TXuuEtxOf/B0d3Rq/TjTPx1e0bNc11kj0f+5r/Q9v47zLBlux4G8ErniIrWDmLcan7v3oGC1XWDaEoinKu6bogkWw0317EwQ2QUAdRvwM0vMRKyJSXYU1zLN2KoJXztWhzYqLhM5JAS7K2ndL8LgSIAl/Mywh/FpoZ5NSv4ZAzBa3fXxG9/ojIPYKwu5AuL/laMgUBgJLBkQlaLvr7o6ygZ9fiiIECgDjxnZWvIRZHIiCw263xEKGQUaYBJjvoJr7Hozi734c4sA6kiWzcE7+WQF7w15kT4ddEBQuKopyXNE3gMY+hzxoCmT+U2mGzkjP5c2DT22HnSbsb0bArHNoU8bqy/U34I4wZKM0wTGSD2KvrmhdeQVCLK/3sL9lnc5NlCCtBFJycaliWEGArPA6Ht0CrQbDnk+gvtnsxstu9iIPrI+93JCBSm+HN22NNDdVsyDaDCTpSyTFKWgzyDBd5uNCbDC6upxqn8OtQZbMhFEVRzqVEkY3+35vKBgpgNe1/Mh5aXlXyMD5JNulN0ObBuO41cESYsZVYH/OyRymMssBU8XUkhFy1kQ26RD7AkYDscPNZ9fFrmigZm2D4rYRL0RzeAg26IBtFmB0mBHLw64jN09CnXIH2+Ytoq55Ff7Mnzk8fx2sPn6FhGGZxV4jy66CCBUVRzjtCgF5wrHhp5UjkllnQfrj1h25HdrwVY+hb5ITiyLE3wvjtF5iX3GMtf518IWaf8Rh3LSeL1KjLL5SWYyZiDp+OLD2NESC5KeY9q5BCI1lkkKz7cNlO7+e5ECfzzaQ2swYx7v4E2sXIhWNzYtoTCN0wDfPaiVC7lZV2Om0g5t0rwAghPg+fEip2zEff8V8cNpUJ99dOdUMoinLe0TRhDWCMQRz7FvOmd5FdxiBt8RRqiRQEra/EoBScoBZxvZ/E0fOPgKBAJJ5sCajYL2opJZmGl/jf/AeHkQPZhyAuFRGfAlvfxbbun9ZYCbub+I63Etf7IXyhpNhlFoJELQdb/hHE/i8RrkQYvQh2zLdWeGzULeJaDubVz5Nvuik0bNhb3ISr2UA0TELCiUMEsP1vYNTX1Na+jrvNDQSIXTbl/KaCBUVRzjumCSReEPMYmdSAAhLI11Kt53+pGKB4OmLBcTj6LcTXJj61JVJPJGhU/Fe2lJJcww24EZ56JGh5OJeOR+yYV3JQMB9t438QB9fjuek9JJFzwwgBXj0L/f3brBUvi3do1tTIrB+tpad/3Axb34X8DGS9DsgrnqDQk1bcdRIMmQQpGezolJnhq3aWlnsUISthTqRSo6lgQVGU846UEjOpIXpCXSvDYKRjev2BQlmSgKhI8XTE928ru4qjy0vS8HfITemE3zhloaqKlQp7MLNsoFCKOLIN/eg3hJpGnrbp1grRF/+hbKAAVmKlz19CjpyN2DwDmdICefNssMfjl07yZTxmjFTLUneBbreW7Y7E5Q1fmEv51VFjFhRFOS/l4sUYOSfiwD+z+30EvC0i5hRIEDnhgQJAoQ/t3eHEG2UXo7LZNBwOGzZb7K9Tm01HpC+JeYy2dcbJ6ZThnDLPWoY7CrHmVUID/kF+l7Fk6o04Hkom13BHzZtQpFBLQLYdGnW/eck9FGiqC+LXTrUsKIpyXgoZkhx3CxJ/tw7x7Ydo+z9HxtfF7DqGQFx9ckPhSYSEAJs/IzxQKGKGEJv+g7PHE5jSmnEhflgNR7ZB7dbIZleSSyKBaC0P5Y6MlJza0lEs/3js84/uwpSSfMMR/RoRFBp24vo9jf7zN1aXS+nSNO6F2WUM/qAa4Phrp4IFRVHOW0FDcIJk7O3uwtZuFKbQCQRBRpl8oGka/Bw9yyGAdnADzh6F2HO+Q5s5tOziT7qDxJGzyUntGhYwhEIGsuVV8OnTUa9tdrgVqTsiP+td5fy6T6yHKU+/sVhK8Jlekm6eh3Z0B/o3s5GaDbPT7Rje5mSHTn/RP+X8o4IFRVHOe8GgSZDy+92llJBQJ/Yx7lTs+MMDBQAjgDZnJAljv+IEKadcG4KOVLTWv0Hs+l/4heu0wajbIWrjQUhPQK97Efy8PeJ+s+eDFGjecpfQjniuKfGZiei1e2Ef0BOJIBiSmCG1GoBiUWMWFEVRTjJNiUxpaa2sGO2YPn+CHz6Pvpy0EUR8uwC7PTw4yTHchAa+hHn5o+DyWBttTmSn2wnd/AHZZvTXzZWJGDe8De7UsH0ybRChZlcSCp1dOkXDMCkMSPwBs9yxDsqvi2pZUBRFKSWXRJKGT0WbfVPYUtHyohGYyc3Qd8yNeQ3tyNdo7SM/bH3BeJydHiSu4x0IIwC6nUKReHJBqegPaNOUZNsakHTPasSeT9DSFyMdCZiX3EvI24LsYOwU1IpyNlSwoCiKUkrQ0MhL7YL7vnWIDf9CO7QR4lMxejxAKLUN+UEHnlqtYl7DrNUaSfRBgf6QwI/X+uM0GgNChuQEHuxpN2NLG4YUOgFDV90FSpVTwYKiKMopCg0bhdTD2WsCdrMAU7NRaLpOPpRNZLN+oDvACISfLDRk+xEEAlW3wpKVWMl+8i8VKChVT41ZUBRFicIf0sg148kPOcv04eeShDlyjpXMqDShYd7wNvnC8wuXVFGqlmpZUBRFOU0BQycntQsJY79C7PoQ7aetmLXbItvdQL7modCwl38RRalBVLCgKIpyBgKGzglSsLe7G+0iqzMgEDBOawyCotQUKlhQFEU5C8Ggig6U858as6AoiqIoSkwqWFAURVEUJSYVLCiKoiiKEpMKFhRFURRFiUkFC4qiKIqixKSCBUVRFEVRYlLBgqIoiqIoMalgQVEURVGUmFSwoCiKoihKTCpYUBRFURQlJhUsKIqiKIoSkwoWFEVRFEWJSUgpZfmH/fpIKTlX74wQRWU4N69/rqn6W/+r6n9uy3GuqPpb/6vqf25eWxQV4NR9KlhQFEVRFCUW1Q2hKIqiKEpMKlhQFEVRFCUmFSwoiqIoihKTChYURVEURYlJBQuKoiiKosSkggVFURRFUWJSwYKiKIqiKDGpYEFRFEVRlJhUsKAoiqIoSkwqWFAURVEUJSYVLCiKoiiKEpMKFhRFURRFiUkFC4qiKIqixGQ71wVQID09nZkzZ7Jjxw52795NIBDg008/pWHDhhW+xvbt23nxxRf5+uuvsdvtXHrppYwfP566detWYckrT0ZGBi+++CIrV67E7/fTtm1bHnnkETp37lzuuePHj2f+/Plh2zt06MB7771XFcU9I3l5eUycOJFPPvmE7OxsWrRowf3338+VV15Z7rkHDhzgueeeY/369ZimSdeuXXn88cdp0aLFL1DyynGm9X/99dd54403wrbXqlWLL7/8sqqKW+mOHDnClClT2LFjB7t27SI/P5/p06fTvXv3Cp1f0++Bs6l/Tb8H1q5dy4cffsiWLVs4cuQIHo+Hiy++mAceeIBWrVqVe351+OxVsFANbN++nRUrVtC2bVvi4+NZt27daZ2/b98+Ro0aRfv27Xn11VcpKChg4sSJjBo1ivnz5xMfH19FJa8cfr+f0aNHk5+fz4QJE/B6vUybNo3Ro0czZ84c2rZtW+413G43U6dOLbOtutV73Lhx7Ny5k0ceeYSGDRsyf/58xo0bx5tvvkmfPn2innf8+HFuueUWUlNTef7559F1ncmTJ3PbbbexYMEC6tWr9wvW4sydaf2LTJ06FbfbXfy33W6vyuJWuv3797No0SLatm1Ljx49+Oyzzyp87vlwD5xN/YvU1Htg9uzZ+Hw+Ro8eTfPmzcnIyGDKlCkMHz6cGTNm0LFjx6jnVpvPXirnnGEYxf9/6tSpMi0tTR48eLDC5z/44IOyd+/eMi8vr3jb3r17ZevWreW//vWvSi1rVZg5c6ZMS0uT27dvL97m9/tlv3795JgxY8o9//HHH5ddunSpyiKetZUrV8q0tDS5dOnS4m2macqRI0fKgQMHxjz3+eefl+3bt5dHjhwp3nbixAnZqVMn+dRTT1VZmSvT2dT/tddek2lpaTIrK6uqi1mlSv87X7ZsmUxLS5Pr1q2r0Lnnwz1wNvWv6fdARkZG2LasrCzZtWtXOW7cuJjnVpfPXo1ZqAY07cw/hmAwyMqVKxk4cGCZiLt58+Z06NCBpUuXVkYRq9Ty5ctJS0ujXbt2xdscDgfXXXcda9asITc39xyWrnIsW7aMxMTEMk3uQgiGDh3Kd999x969e6Oeu3z5cnr16lWmSyk5OZm+ffuybNmyKi13ZTmb+p8vzubf+flwD5xN/Wu61NTUsG1JSUk0adKEI0eOxDy3unz2v95P7zxx8OBBCgsLadmyZdi+Vq1akZ6efg5KdXrS09NJS0sL296qVSsMw+C7774r9xr5+fn06tWLNm3a0LdvX5577jny8vKqorhnJD09nRYtWoR9YRb1V+7ZsyfieYWFhRw4cCDq+3P8+HGOHz9e+QWuZGda/9IGDRpEmzZtuPTSS3nyySdrRL0rw/lyD1SG8+keOHHiBOnp6RG/u4tUp89ejVmo4Xw+HwAejydsn9frpbCwkMLCQlwu1y9csorz+XwRy1+0LTMzM+b5rVu3pnXr1qSlpWEYBmvWrGHGjBls2rSJ2bNnV4t+TZ/Px4UXXhi2vaiORZ/jqbKyspBSRv18i86N9MulOjnT+gM0atSIhx56iDZt2mC329m8eTNTpkxh7dq1zJs3L+J7cz45X+6Bs3G+3QNSSiZMmIBpmowZMybqcdXps1fBQiVbv349t99+e4WOXbt2LSkpKZXyukKIM9pX2c60/mdT/tGjR5f5+7LLLqNp06ZMmDCBxYsXc/3111eoPFXtbOr4S36GVeVM6z9kyJAyf/fs2ZOOHTty1113MWvWLMaOHVtZRazWzod74Eydb/fACy+8wPLly3n22Wdp3rx5ucdXh89eBQuVrFmzZjz77LMVOjYhIeGsX690dHkqn8+Hy+XC6XSe9etU1JnU3+v1Rix/VlZW8f7TNXjwYJ5++mm2bt1aLYKF8uoY7ZeRx+NBCBH18y26dnV3pvWPpnfv3tSuXZutW7dWQumqt/PlHqhsNfUemDhxIm+//TZPPPEEw4YNi3lsdfrsVbBQyWrXrl3uDVCZGjVqhMvlijg2Yc+ePTH7w6rCmdS/RYsWEfusd+/eja7rNGvW7LTLIaUEqs+gqhYtWrB06VJM0yxTpqJ6R+qTBHC5XDRq1Cji+7Nnzx5SUlJqRPPzmdY/Filltfl8q9L5cg9UhZp2D7z66qu8+eabPProoxVqga1On33NeZeViOx2O3369GHJkiUUFBQUb//+++/ZunUrV1111TksXcUMGDCAPXv28O233xZvCwQCLFq0iJ49e55RC8zChQsxTZMOHTpUZlHP2IABA8jOzg6bW75gwQKaNm0aM7lK//79WbNmDceOHSve5vP5WLFiBQMGDKiyMlems6l/JF988QUZGRnV5vOtaufDPVDZato98MYbbzBp0iR+//vfc/fdd1f4vOry2auWhWqgoKCAVatWAdavaYDVq1eTkpJCSkoK3bp1Kz62X79+AGW+dB988EFGjBjBfffdx1133VWclKlBgwbccsstv2BNzszw4cOZNWsW48aN4+GHH8bj8TB9+nSOHj3KK6+8UubYU+v/448/8thjj3HttdfSuHFjDMNg7dq1zJw5k06dOjFo0KBfujoR9enTh+7du/PEE0/g8/lo2LAhCxYs4KuvvmLSpEnFx40aNYoNGzYU3wcAY8aMYeHChdx7773cf//92Gw2Jk+ejM1m43e/+925qM5pO5v6DxkyhCFDhtC0aVNsNhtbtmzhrbfeokmTJtx6663nojpn7JNPPgHgm2++AWDjxo1kZmYSFxdXnJjqfL0H4MzrX9PvgbfffpvXX3+dvn370qtXrzJdJw6HozjxXHX+7IUsaq9VzplDhw5FTXnbrVs3ZsyYUfx3pGABYNu2bbz00kts27YNm81G7969GT9+PPXr16+6gleiY8eO8cILL7Bq1aridM8PP/wwXbt2LXPcqfXPysriiSeeYOfOnWRkZCClpFGjRgwcOJB77723Ws0Cyc3N5eWXX2bJkiVl0h3379+/+JhIXxYAP/zwA88//zzr169HSkmXLl14/PHHf/FuprNxpvV/6KGH2L59O0ePHiUUClGvXj369evH2LFja1xffbTUvg0aNCi+p8/ne+BM61/T74GiOkVSUz57FSwoiqIoihKTGrOgKIqiKEpMKlhQFEVRFCUmFSwoiqIoihKTChYURVEURYlJBQuKoiiKosSkggVFURRFUWJSwYKiKIqiKDGpYEFRFEVRlJj+P5zhldCZIBx8AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data, labels = make_moons(n_samples=500, noise=0.05)\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=labels, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "161afdfd",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"clusters_partitioning = KMeans(2).fit_predict(data)\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters_partitioning, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "ea478879",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.cluster import AgglomerativeClustering\n",
"\n",
"clusters_connectivity = AgglomerativeClustering(2, linkage=\"single\").fit_predict(data)\n",
"sns.scatterplot(x=data[:, 0], y=data[:, 1], hue=clusters_connectivity, palette=\"tab10\")\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "a70c1f25",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Density-based\n",
"\n",
"#### Pros\n",
"- Does not need access to data points values\n",
"- Can handle non linearly separable clusters\n",
"- Does not need number of clusters\n",
"- Can handle outliers\n",
"\n",
"#### Cons\n",
"- Usually slow\n",
"- Cannot be used for inference\n",
"\n",
"__Example:__ DBSCAN"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "5259f58c",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"noise = np.random.uniform(-1.5, 1.5, (50, 2))\n",
"data_noise = np.r_[data, noise]\n",
"\n",
"clusters_connectivity = AgglomerativeClustering(2, linkage=\"single\").fit_predict(\n",
" data_noise\n",
")\n",
"sns.scatterplot(\n",
" x=data_noise[:, 0], y=data_noise[:, 1], hue=clusters_connectivity, palette=\"tab10\"\n",
")\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "4c7927fd",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 576x576 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.cluster import DBSCAN\n",
"\n",
"clusters_density = DBSCAN(eps=0.2).fit_predict(\n",
" data_noise\n",
") # Does not need number of clusters\n",
"sns.scatterplot(\n",
" x=data_noise[:, 0], y=data_noise[:, 1], hue=clusters_density, palette=\"tab10\"\n",
")\n",
"plt.show() # Can handle outliers\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6b17e3dc",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "7d75e468",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}