{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Clustering in Data Analysis\n",
"\n",
"Clustering is an unsupervised learning technique that groups similar data points together in a dataset based on certain features or attributes. The primary goal of clustering is to partition a set of data into subsets or clusters, where data points within the same cluster share more similarities with each other than with those in other clusters.\n",
"\n",
"## Purpose of Clustering\n",
"\n",
"Clustering aims to organize data points into clusters, ensuring that objects within the same cluster exhibit more similarities than those in different clusters. It serves several purposes:\n",
"\n",
"- **Pattern Recognition:** Identifying natural groupings or structures within data, even without explicit labels.\n",
"- **Insight Generation:** Understanding relationships and associations among data points based on their attributes.\n",
"- **Data Preprocessing:** Reducing the dimensionality of large datasets or segmenting them for subsequent analysis.\n"
],
"metadata": {
"collapsed": false
},
"id": "703dd3f113324573"
},
{
"cell_type": "code",
"execution_count": 1,
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from sklearn.cluster import KMeans, AgglomerativeClustering\n",
"from sklearn.datasets import load_iris"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:40.639907Z",
"start_time": "2023-12-14T15:10:39.927849Z"
}
},
"id": "8613c62651a4fd20"
},
{
"cell_type": "code",
"execution_count": 2,
"outputs": [],
"source": [
"# Load the dataset\n",
"cities = pd.read_csv(\"worldcities.csv\")\n",
"cities_summary = cities.describe()\n",
"\n",
"# Normalize longitude and latitude\n",
"x = cities['lng'] / cities['lng'].max()\n",
"y = cities['lat'] / cities['lat'].max()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:40.688121Z",
"start_time": "2023-12-14T15:10:40.641218Z"
}
},
"id": "563c0e2a363cc466"
},
{
"cell_type": "code",
"execution_count": 3,
"outputs": [
{
"data": {
"text/plain": "",
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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot cities\n",
"plt.scatter(x, y)\n",
"plt.xlabel('Latitude (normalized)')\n",
"plt.ylabel('Longitude (normalized)')\n",
"plt.title('World Cities')\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:40.895990Z",
"start_time": "2023-12-14T15:10:40.689960Z"
}
},
"id": "8b290b2566ff0480"
},
{
"cell_type": "markdown",
"source": [
"## K-Means Clustering\n",
"\n",
"K-means clustering is an iterative algorithm used for partitioning datasets into K distinct, non-overlapping clusters:\n",
"\n",
"1. **Initialization:** Randomly select K points (centroids) as initial cluster centers.\n",
"2. **Assignment:** Assign each data point to the nearest centroid, forming K clusters.\n",
"3. **Update centroids:** Recalculate centroids by taking the mean of points within each cluster.\n",
"4. **Repeat:** Iterate assignment and centroid update until convergence or a set number of iterations."
],
"metadata": {
"collapsed": false
},
"id": "6df269e0c1307bdf"
},
{
"cell_type": "code",
"execution_count": 4,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/azagar/miniconda3/envs/is/lib/python3.9/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" super()._check_params_vs_input(X, default_n_init=10)\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# KMeans clustering\n",
"df = pd.DataFrame({'x': x, 'y': y})\n",
"kmeans = KMeans(n_clusters=6)\n",
"results = kmeans.fit_predict(df)\n",
"plt.scatter(x, y, c=results)\n",
"plt.title('KMeans Clustering')\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:41.346821Z",
"start_time": "2023-12-14T15:10:40.894988Z"
}
},
"id": "82cd729d17b6acdd"
},
{
"cell_type": "code",
"execution_count": 5,
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/azagar/miniconda3/envs/is/lib/python3.9/site-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" super()._check_params_vs_input(X, default_n_init=10)\n"
]
},
{
"data": {
"text/plain": "",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Are clusters aligned with ground truth classes (using Iris dataset)?\n",
"iris = load_iris()\n",
"subset = pd.DataFrame(iris.data[:, :2], columns=iris.feature_names[:2])\n",
"\n",
"# Plot ground truth and clustering results\n",
"results_iris = KMeans(n_clusters=3).fit_predict(subset)\n",
"plt.figure(figsize=(12, 6))\n",
"plt.subplot(121)\n",
"plt.scatter(subset.iloc[:, 0], subset.iloc[:, 1], c=iris.target)\n",
"plt.title('Ground Truth')\n",
"\n",
"plt.subplot(122)\n",
"plt.scatter(subset.iloc[:, 0], subset.iloc[:, 1], c=results_iris)\n",
"plt.title('Clustering')\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:41.667466Z",
"start_time": "2023-12-14T15:10:41.350500Z"
}
},
"id": "c769625b0617dd2b"
},
{
"cell_type": "markdown",
"source": [
"## Gaussian Mixture Models (GMMs)\n",
"\n",
"1. **Probability Model:** Assumes that the data is generated from a mixture of several Gaussian distributions.\n",
"2. **Components:** Each cluster is represented by a Gaussian distribution (mean and covariance).\n",
"3. **Expectation-Maximization (EM):** The algorithm iterates through the E-step (expectation) and M-step (maximization).\n",
" - E-step: Calculate the probability that each data point belongs to each Gaussian component.\n",
" - M-step: Update parameters (mean, covariance, and weights) based on these probabilities.\n",
"4. **Soft Clustering:** Assigns probabilities to data points belonging to each cluster rather than hard assignments.\n",
"5. **Variance and Covariance:** Models complex cluster shapes and orientations better than K-means.\n",
"\n",
"GMMs are effective for modeling data with multiple, overlapping clusters and provide a more nuanced understanding of cluster assignments.\n"
],
"metadata": {
"collapsed": false
},
"id": "36fba5e0ff157c3e"
},
{
"cell_type": "code",
"execution_count": 6,
"outputs": [
{
"data": {
"text/plain": "",
"image/png": 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LpuvduzdlZWUx28rKyqJuo0T7e/bs2WEyWlhkm9DI2Ui7GxnHySuB0JAZyLzSjhcsC7j7l5g+sCRI3cAzsGuuz8LConORMwVm0qRJfP3119FsJSklX331FZMmTYruX7ZsWfT4vXv3snfv3uh+C4uuiHQX4j/6++jFg2O3qw5Co+YSmnBKjiRrO65eRZQeNS5xlpEAe6GXXnMmdqxgFhYW3ZIOdSEdPHiQ/Px8XC4XJ598Mn/605+44447uPDCC3n22Wfx+/2ccop5Ab/ooou45JJLmDx5MhMmTOCOO+5g7ty5Vgq1RZdHeosJHHUpoq4cpfYAqHZTobHZcy1amxl743l89t070X1BpN4k26rB4jT+tu+g2K0C4BYWFm2nQy0ws2fP5o033gAgLy+P//u//2PZsmXRtOl//vOfeDweAKZMmcJvfvMb/v73v3PRRRdRWFjIH/7wh44U18KiXZF5Jeh9x6D3GtEtlBcA7+DeHPnkLfQ8enxMLmTh2EHMeOBa+hw3JYfSxaIHQmx/9iM+Ofe3vHPET/nwpFvZcP/LBMusonsWFl0BIVNVnOvilJW1T4R0aWl+u4zdGbDWlwUMHeGvAaEg3QUdXgyiM7yHwYoaAvsqsRd68fTPbtxLW9en1QdY+sO/Ur16m7khMoYicBR6OfxfN5A3pE+2xM2YzvD+tTfdfY3W+to+diosW66FRTbRNRwbP8G+9QtE2A+A4S0mNHI22sDJ3beqVRycxQU4iwtyLUZc1v/1f1Sv2d6ouEQwJOEaH1//v4eY/fwvooU2LSwsOh9WTW8Li2xh6LiWPI19wydR5QVA1FfgWv4KjnUf5FA4iwjhOj+7Xv4cjPiPjVI3qNu0h8rlmztYMgsLi0ywFBgLi6aEA9i3LsW54jUcq95GKduWdpED246vUcu2Ipo91kee4R0bP0Wp3p9deS0ypm7zXoxgOPlBiqD6m20dIo+FhUXrsFxIFhYNqHvW4Prqf2BoIEzd3rFlMXqP/vhnXgxOT9Lz7Vu/SLpfInAufwm9ZDBGQR+0fuO6TfBuV0IoaTy3SaymkxYWnRzrG2phASjlO3B9+QIYGgKzIm6k6aJStQf3kqdSWmKU+oqkddwEEqV6H/atX+Bc/jLed/6Eun9j9hZhkRb5o/pjL/QmP0hKSmaN6RiBLCwsWoWlwFhYAI6Nn4CIX0hWSIlatQe1bGvyQdTU1pSocgSgBXEtfRalem8rJLZoLarDzpDvHpdwv1AVSo8cS/7wvh0olYWFRaZYCoxFt0TUV6Lu32AqHUmaJwKga6gHNifsTwQghYK6d23SYcIDxiNF+l+piLJk37io5U5DTy23RasZfvlJ9DvtcKCJq0gx35H8kf2Y9Pvv5Uo0i0MCiZ0AXqrIpwIvVdgJ0DItziIZVgyMRbdC1FfiXPkatoNbotuk3UVoxGzCI46Mn8ZsaC0Cb+OOrScP/AwPm4V9x3KkLtMaD0xrjG3vWoJSghCo+zdi37QIW/l2APT8noSHzUIbNOWQSsFub4SqMPG3lzLwrKPY+b9F+HYexNEjj36nzqT3sZNR7GquRbTopggMvFRjExoNX3sUqWMXYTTpp44iUjYVswAsBcaiGyH8Nbg/eQQRju2KLMIBnGvfQ4TqCY07seWJNieG04sSrE88uJQYeckbiUpvMf4j5uP64llEsN60xkTcRcnklgYYOvZtX+Bc/U6M6qPUHsS54lXUsm0Ep55lKTFZRAhB8bSRFE8bmWtRLNoNiYMANsyHDw07IZzk0vngphYV07oa+TpH/lfRcFOLn85ZP6mzYbmQLLoNjo2fIMK+hK4g++bPEfUVLXcIQXjIDGQCVUM2HKMNmpxSBqN4AL4Trsc//TzCw2ZhFA9KaouRgOHKR/gqcax+xxSnqWgNP/bd32Db/U3K+S0scoFAx4EfB35UwnQGV4hKmALKcVOHnSB2gripo5BynNS3UkaJwEBgtOp8gY6dUMLnECHAQbBhfItUWAqMRffA0LHtWJ40jgUhsO9cEXdXeMg0jLySFkpM5O/gpNOQzhSZKxEUFb3fWELjTiAw9WySm4MF4aEzsG9LlYINjtXvpje/xSGJShg3NeRTQT4VuKhDoLfzrBIPNRRQgZs63NSRL6rIpxKF3MVwRdw0AokQtPhxCx+FlLVQZAQ6ClocBULiwE8+FRSKcgpFOflU4MBPJoqMjXBKI6oQNCiBFqmwXEgW3QMtiDBSXTCF2Z+oKXoYx5r3sG//Knq+pFHl0EsGER55NHqv4Yi6MtTyHdHtMi91fx/pKSQ07kScq99GImJiYyQCo6gv4aGzcH/8zxRqDhCsQ6nchdFjQMp5LQ4tnPhwi/poTAWAIv048VNPIRqOdphVmrEccW7KCjp5VFFLDyTtF09kWn4CKBhIBGFc6NhwEIgqLwnPFeDGtNiGceKiHrswFQcpIYyDAF4MVNzU4iDYbI0GHlGHKjX85JHNuJX2Vzy7B5YCY9E9sDmRQonWbkmEbFqMzjBwLX4atXx7jGIhMJUYvXgwgSPmI8J+XJ8/ie3g5uhRAtB6DiM49eyUlpnw8FkY7kIcGz9BbUiZlnYX4cHTCB12DNjsCD0cozjFQwCuZS/iO+5aKxbGIoqNEG5hxm81/VgIYd6IvVRTQwkyywZ3G+HoDb85QgBS4sRPgLyszhvBST0uYuPdXMJPSDpQMlAAnJiKXlOEALsMYSeMDw9OEWxxXuS1dooAYelMS0nUsccomfGQ0lSswrixgnmTYykwFt0DRUXrPwHb7m8SKjFCGmgDJkX/VveswVa+Lf6xgK1iO7bdK3FsXISoL49uj55ftg33osfwHfMDsCW/eOn9xuDvNwYRqANDQ7ryQWl8MjXySlD91amX6atEqdiJUTIo5bEWhwZOfAlvihElxkGAIMkrSWeKnWDSm7EQ4JCBLCswEhshXNRjE/GVFDsh82Egw3t/8+PN107iTvL6gvn6uqinLg0FxkBFw4FNJo+DEUjsMkgYV2aLOMSwYmAsug2hw44G1RY3GFcC4QETMQp6RbfZty9LGLhrniOwb/gUUVcWN7ZGSANRV4Zt18q0ZZSuPKSnKEZ5AQgPnZnWs5YEbHuS16OxOLRIJ67CRijr86Zj5VCExEtlzPxmIGsAO36klolcEg+15Ika1CRzi4aClGm2MIvGxSTap4jUrigVLa7bR+rhhrU2Bub60lDopDQVMYvkWApMhgh/NUr1PmQgScqtRU6QeSX4j7oMIz82NkUKlfDQwwlO/nbMduGrSlqvRSBR/FUp57XvXN4acWPQex+GYXenPE4A6v71bZ7PwqKtGGnGttjQyBPVOKmPBvx6RS0e6tCqduGlKq2YDyd+7A1xKOlYV9K1wKSr6KSaq4CKaPCtQMdDFVrlTjzU4hU1DRlRtWYsXFqy5T6Tq7NjuZDSRC3bimPtB6iVuwAICIGzzyiCY45H5pXkWLpOjKFj27MG9eAWkBK9eADagAlgc7bPdIV98c+9CqVyN0rtAVDtaL2Gg6Ol+Vw6vEhfVULLh2z4J1VcikhWPyZdhCA0fBaudR+mPFTxVWLb+gVa//HgSK30dARSSoywhmK3IbphfI6h6RxctJr6LftQPU56zZ2Iu3ePXIsFmLVNbDK5FSbbQbyRNOJMFAm3iO+KUQmTRxV19GgSpyOxNYTRCgwMlKjyki5haccuwiljTrL5cfVSTS09yKMKpVkmU8SlpqCjSxUFPXksDEpDdV5BGDsRe4NAx4m/IahYYqASxE0YJ4dazIylwKSBum89rqXPxW6UEnXfejxl2/AdfYWlxMRBqTmAa/GTKIHahhL7EtuuFTjXvEdg5gXopUPbZ2IhMIoHYBQnz9bRBk3CUbU76TGGpxClvjKhpUYiMNxFrZU0dqw0s4sE4PzmDZyr3iY0ei7hEUflLKi3fvsBtjz2DnveWIoRDOPokcfAc49m6CXHYy/IbsxFrihbso6VP3+MYFk1QlWQhmTNnc8x4IwjGbvgAlSH2QNLD4TQfEHsBR4UW8dV8g3iwS7ix09FrAuhLMZSiIYMo+Y36LTOjReng5nR48BPEC+R7KamykcqJSTePEHpJijdeKgFmZ6y1Rwpze+4ItKo1N3gt3JTh0L8ApZCgJ0wAeluETjcdE4wg4OdBKLbgngIYyePGpoqj0JqeEUtYRmkngIOJSXGUmBSYeg4l78CcaIlhJRILYhz1VsEZn0nF9J1XsIBXJ89Ea2K2zSwVmohXIufxjf3KmReca4kRBs4CfvmJeCrbBH4K4VAeooJjzgK14pXEo4hkGiDp2ZFHr10KIbNidCCqav3Akgd59r3QbUTHnZ4VmTIhKpV21h65V8wgmGkbr5+oco6Nj/yFnvfWcYRj92Io0f7ZKB0FNWrt/PF1fdBw/oi60TCrpc+wwiFGXLJ8Wx+6E32f7gcDInqdjDw7NkM+/7JOIvz211GDQd+6W2RRh25EfrIb4hXMTutGygYbbj0eyI36CzfJ81AYy8eaqOVc5tXqk0HU+lQGqxOgjDhhnotmSME+KQXt6xPmZYdIVXsipRm/FAYJ45mgdCJ3FlCgFP6cDb5m2a/2wjhxNegBLaYldSKjWywrImGu13nV4QsBSYF6v6NKCFfwv1CStQDmxD+GqS7m5R/Ngz07auw79iCVFT03iMxCpN05tVCqOXbEFoYI78nRkEv7DtXIEL18Z9CkEipY9+6hNCEU9pnDVKiVOww5QjUIl35hAdOxige2OQb78B/1KU4l72IrXxbTIq0XjyY4NSzkHYX2q4VqOU7WlhhJAK9ZBBav7HZkVkIgpNOx7XshbQuNxEc6z8iPHgaqB33dZaGwfKbH0YPhMBodtU1JP5dZaz98wtM+u1lHSZTW5FSsu+dZWx75kNq1u1CsasImy2qvMQ5gT2vL2Xv21+aik3Dy6D7Q2x76gP2vPkFs5//Bc6S9r8uBPGgSTtO/KgyDAg0VFQMvKK2xfGatOEnD53UHdSbItCxJakk21rMfkCyIcA32OrxIwpAPflEvkF6GrE6iRQHP3mEcSMQeOK8jolI5bISUlJPAWHpaHjPNGio8ZtIOUynAJ5T+huyzUxV1YkPB8GotSyMgyBu9BiXooymkivCPE6XKgE8nd4tZSkwKVDqK5BCJK3wKgDhq+wWCoxSsQvXl/8hFKjF3uD2Ees+RCsZQmDGebGxJFJi37AQx6bPEXrjU4feYwCkqMcipMS2d21qBUYLYtu50lSQpEQvHkh44OTksR+6hmvZC9j2rY/WhpFCwb7ja8J9xxCafk7jElz5BI66FKXmAEpDA0Xsbmx71+B5768IaWC4CzF69Eep3oswzGBDqaiEB00hNPbEFhlFbUHvP45Q7QEcGz5O+xwRDqCWbUXv3XE9fcqXrMe/uzzhfqkb7H3zS8b8v/NwFKZZwTiHhGvqWXrlX6lZtzO6zQikd67U4n/WQxW1fHDczQiHjaLxQxj1k7PoMWlYNsSNi44dX4NCYiOEl8Rp+SpaQ9xJUUZKjIrWJuUiWSqygZJWRlWy8RuLzzXe2nRsKeuu6Niop6ChjL/EQInpmRTCFXUPQWplItVazVgfs/BeY6q0pJCylLIm268IiSINBDpeqlGaud/M2jYh/OQRwo3prqtpkaWmoOMVtQSkTiCuRadzYCkwKZB2V3ph6vaun68v6spxf/4E6A2NxpooIWrFdtyLn8J/9PdBmF9qx6q3sW9d0kI/V6p2pwx+BVJ2d1Yqd+Fe/BSEG+8k6t61ONZ9SGDGBei9hrc8KeTDtfQ/qBXbY9YQ+d+2dy2seQ96nRtzmlHQC6OgF+retbi+fL5BfvN9F/5qhL8avaAv4THHmq0Civq123seHn0seq8RZtB4+ba0nn/Uih0dqsDUrN8JigJGYkVVajr12/bjaMebdluRhsHu15aw6rdPIcPtU/1UhjQqv9rE4kvvZsSPvsXIH52W8RgHF61m29MfUrViC0JV6Hn0eIZ8Zx6FY+LVAzLTjSF5erBZMK2OOjIJRm7903iqm34IV9pd3JvGxoBp/KqjCAMbCjoqYQwUJGrKejVg3rAlatJaOSHcSMAr6hLKJAElDUtJSLZMYhBZcsuZMUrVcd1vTd93DQcqYeyipcsrco5L+AhLR8aWuo7CSqNOgdZnVPSGHQ8JGN4SjPxeCY/pKjg2fw66FvciIqRErdqDun+T+XddBY44ykvkWJApmhgK9II+iQ8I1uP+/EkIB6Pe2KhXVg/jWvosoq5JY0YpsW/8BO9b96BWbE94mRWAbesXyFAcn3g4gOur/5kBf80q8wpArdmLbdcq9J7D2l1hNYoHYvTon/bx9s2fg5ZZlkZbUJz2tBR7xdk5L3wAtZv28OkFd/DNbU+0m/LSnE0Pvk7F15syOmf9317iyx/fT/nitWh1fsLV9ex98ws++84f2f360hbH2wijiNQ3QyHAJrSMehZpDZVkkyFl40+6GCgEcaOlcaNsrozo2KijBwoGeVRSICrJF1VmujaVKWNSIrVe0klbDuMiIF1ROZrKZO53prXueCnoEiXluSktSVLBQeKQh6ZjOPBFiyAmG9NBmqbIHGApMKlwegkPOzzuRzsSpxAcc2zOskCyiW3niqRPQFIIbHtWA2DftQKZZM2pQsAEEr2oT9Ta0xz79q9AC8VXpgCkjn1b48XbvmUJzrUfRMPPkiEMHWPvlpZz7loJejjp+bbdKxG+qhQzZAFdw77ty/Sfdw0dW4JGle1Bz9njSXXBd/YspGBk+kpYR6H7Q3x940N8eu5vqdu4p8PnX3fviwn3Va/Zzto/vcCKXzzG8rtfYOdLi9jy6NtAkwDiyO+GZOUvH6dq1VY0f6PyqqBnpDykKkgnGiwa5nGCIJ6E40sJIZxpKSLRcyAaa2FgQ5O2pOPHyCYa3WFeYgvcCWHWoFETVOxNNi5E3HBVFFBGAWV4qEFFI0AedbKQMA4MqaBLM425huIM+j7Fjw5MpQAlUwyFMGOhHGk2jHSJADaRPJU78vp2ViwXUhqExh4P0sC+peGGKYTpklDtBMafjN5vXG4FzAKirgJSNUOUEtHgzhGBWoh2DUpxWpMmhhGlTwLOzYtx7FhOYNLp6M0CYW371iUd24yhWUdo/MmgazjWf5RSjhjirFWp3pf0lMj33L51KaFxJ2Y2X4YIfzUiA4uKAGx71qANndl+QjXBO7AnfY6fyr73v24ZxNvAsMtPQqid7xlpxc//ZWYM5YiaNTtabNNDYVbe+hj73vsq+prtIVZpiYth8Pl37wJF0GvOREb88FuUju6Z0fOUA7/Zo6fZ86yChpu6mH5HmlTjuhMiVhENO37ycVMPGXRUbpqS7aOAPCpjUp+b3rTjlfyPHBB3X5ztzWUPNQtWdVGPq1ndGrsMYieIj3zCuOLU1pHIFG6gSPyLkcB2EMBrxqMkSPsO4cRGCKXJeiMyBqSbEA48abz36aalR9LIOyuWApMOQiE0/mTCI47Ctmc1IuTH27sPVfnDkHEKsolgPerBzWDoGIV9MQqTuEo6A4aOa+nTaX1MDa+Z9ixdeaRSXqRQCUw9E8eWJdECgJE5onOFA7i+fJ7ArO+g9xoRI1NKeRoCatWyrRnd7AFEyQCaW5alkt7XQY0E+7YnGQYGS4gqlx3FhNsvIVzro3zxumh9FKEIpG4w9LITGXzh3A6VJx1qNuxi/wfLcyqDjBM3tOb3z5rKIGkoLfEwJAc//oaDn65i5gPXMHRGSdpKjEOEsctyaukRDX5V0MinssWxKnrCHkTmeWGUhsJzmdBUeTJQqaXYzKCRZlfpyENQspie1hBRjJrGvtgI4RK+FuNGlAUPtdRib+YGMsijGptI/hAoBPhl4iaNBip1FDWkkjeOJaUggJswDuyEEUJGrTGmXKb1Rk2zNk8mr1dn7sdkKTAZIF35hIfNMk2TpflQVht7D9c1nN+8iW3n8pgAWL2oP4GpZ3XaYneOdR+g1CXOKIkggHBDzZPwgEk4NnyS8FgpFLQBE9D7jydQOhTP239K6A6SgGPt+/ibKDBGUX+U2oMJGzNKITCK+pljZHDjlkKglw7DXVDS8P6Z6daKrxrp9Kb5rNH+TyTSXYjhLUHUl6c1mwCkN5NgzLZj87iY8Y/rqPxqE3ve/IJwVT3u/iUMOOtI8oZ0TqV93zvLYqM/c4DaLC4ocKCKXa983maZzFRuwfJbH6PvWz/HpQYyulF5qaKWEkAkzLZJpUAoDePUUYSL9CpUCyIWkCZrQSFAXrQRpIu6hIXf2oIQUCcLYrKW0muOGdtl20NdWq6WsLQ1ZP8kxojE9EgNFR2JWetHIMmnojG5IEY+SR5VDYXssoOZGSYIZbmKczaxFJgMUCp3Y9+6FLViBwGbHUfP4YSGzEB6i0FKXF8+j7p/Y4sbtVK1B8/H/8R31OXIwt45kj4BWhD7lqXpNRIUCo4NnyBC9UhPD8J9x2Dbu7bFuVIIUO1mc0XMrs9J3UGAWr0PUVceVfLCQ6dj3/FV4nOkJNzgLolYhVLKj0C68glNMXsiKQc241zxOoqvsskxjTIlGkPvOTSt+WLQwma9oLAf6SlCLx2SNDgcIdB6j8SxJbViGSE0tOOL2YWr6pG6Tr9TZlA4djCqu/Ne7ADqtu3PqfICYIQ0DE2PVus9+OmqhG64zAeXBA9Ws3PRVgYdMwynbLzpp451kBTKMoK4Y9xGmWCOY2CTGgZKWhaBMA70FLei9nJjSNmyzUKqVHEhwCYbXx+BkVbtGhnNbExvLQa2GMXKjj+hFSqiWNlI3TohlYyR8QBUISmU5WjYCeDtdNlIlgKTJvZNn+Fc825jXRHAVluGbcsXBGZegLQ5sO3fEPdcgURqITwLHyQ8/AgzpibZzasDUSt2IlLFvtDgopAGtj2rzArEDa+DXtAHpa4sZgyjsC/ByWeYih0gwn5zvalqw4T9UQXCKOxLcMzxONe+F1OHJ2JKDg0/IppGbRT1Q8/racoRR1GSAEIhPOIoQsNmIVwe9L2bcC1+qsXNLNn33hxHmEXj0kVK7FsW41j/EaJJ513DVUBw0mmJU5+lxLZ/Y5r1M8HI74VRMjhtsQxNJ1RVh+qyY8/LvOR/uKaeNXc/z943voi6PFSvi4FnHYl3SG90XwiEIP+w/uQP74uztDDjOdoD/970FcL2QuoGBxetpveciYDZgiBbVqGCoaUcdvEsBk0txk4gpeulOUKAq42WDrOTcgBVJP++S0AodnxG6vL3YZy4ReLsmtbctCN1Y1rOncI1LmOPUNOsXSMEqLK12W4ypQVKCDNOJ4gbp/S36vUwEA1JEk1aFTQobBELj0b79LFrDZYCkwZq2Taca94FiHFpCCmR6Li++A9a3zHRm3o8ogGgmz8HwyA04eT2Fjs9jPS+UNHYlUjwWMM6lZp9hA47BqOgDyLsNyvxFg+MOVd6eiR8XaLHYLpNmhIeeZRZ1Xfz56hl20xxe/QnNHwWet8mQb9CEJx8Ou7PHkdKI6booBQChIr/yEtjeiOFl7xKqlo1TZUHM+NKEJh2DtJTlHQtTbFv+gzn2vdabBeBGlxLnyFwxCVxe0IpNftQ6tO72Rp5JQSO+G5aV/BwjY+19zzPnjeWRguwKS47A888ilE/Ozva1ycZmi/Aku/fS93mvTHxHHp9gG1PftDyBAG9j53M8B+eSriqHqEqFI0bkhNrTaispsPnjMeulxZFFZj8kf2zorwMOG4MR911PkCDdUe26Wm8baReTyZiGdgISQf2OFWAo7Vg4qw11frjd9QWyBS9k1r7krbGkuQggIu69PoxIQngRUWLWoma68bJXw9b3GKCkTG81FIdV+nLDZYCkwb2zYsTVuMVgDR0lOo9KS0MkePtW5cSHnFku1TuFb4qRKAO6cpL60ZrFPbJqGx9i/kAx4aPkQ4vSsj0eeuFfQiPOMrslgxofUabwc4JevxIIdB7jkC6WvaN0XuPNK0UzW2bzddRPBD/7MtxrHkPW9nWxvNLhxIaczxGUWMrBFFbhizfnXLNRvEghL8ahILWewThoTOReaUpzmpCOJAwOyqSOOFY/S7+OVe23J9Gh2sJhAdOJjTptLSCfsM19Xx6/h0E9sUGZxqBMNuf/Yjypes58pkFLWI0mrPzhU+p3bQn/ZuuhP0fLI8JnlU9ToZcfCwjfnRahzU+DNf6CVXEL0LW0ZQvWR/9vXj6YdgKPGg1yet3JMPTp5Aj7zwfoQiE0mjdzZYrIVN0bBhSS33TNcI48aVV7dVHAR5qcBBq8dHzkYeKnrbLLIKdYEwsSzrnNs16ArMCcjqKomnxySwg1k4Aj6hN66sWqShspru3VMDMAOBQQkVPIpJWQjaVGImDYFabg7YFS4FJA7V8a4pWAtJ0D2RgBrbtWU14+BHZEhGlcheO1e9iq2hM0dSLBxIce0ILi0hTpLsQvfco1P3r26TEiFDjDVep3o9r2X8J1RwgNGYe2OwEJ56K86v/tVCWzHgZB8FUaclpXI2Mon4EjpyPCNQignVIZ15cpUgEU9/EJAKt7+g2vUe2veuSpqYLJGr13pjYn+j8ceRueT7ofUennbG0/r5XWigvTanbspdN/3ydUdeemXScHS980maLge4LsvmRt/DtKmPSHy5HtKOZQA+GWf+XF9nxwicdVrAuFYams/fdr9j10mcEDlSh1bbNbTP8nOktlJe20pq3JPKxCDX0D3JKX8pxnPjQsEWbLyaRCB+FBKRmxpwgMVCjJf/DNHTmJmjGpchQ0sDaSLyOKXRmi1UbauNE0s/DOLHLxHEwjdlOzQN4JXaCUTnNeCA7kfQGN3VpW9GEAE064maPgdlkMoDHdEU1+f4KYRYS9JFHvkhtoXRTi5ta8xpZH8ZUI3JjkbEUmLRI/uZIQKr2aG5+6uEEIkmDyExRynfg/uyJFhYgpWIX7kWP4T9yfov4CFFXgVKzF4RKcOzxuGv2gb86rjc4049mJA7FsfETtD6jMHr0RxswEWlz4ljzPmrdwejYeukwguNPRuZnYNlINK+/BvvWJdh2rkSEAxieIrQh083MKbXRqpCeciBRqvZGG0GaJ0rUvWvNQO6qvaCoaH1GER5+BEZBy0rMIlifllIrgvUtFBgjvxd6QW+UmgOJ43pUB3pxvFLyLdGDYXa9tCjlcduf+YiRV52e1CoS2J9YCcoICXvf+pJB5x1D8bT2aYMgdYOvfvogZYvXpOPVACB/1ABq1+9qF3micmkGy298KOPzhE01Y44i6XtIhKrSe8YQlE5Sc8dPPhKzGaCdQMpAXgHkiRoMKQjgjZuloxI2mx421JbRcBLE1aKrtkSJnm8qGcnj+5p+NRU0XNSn3c7A7CXVAx0bPvLIQ8eG1pjaTBMXNIJ6CmNcVjZCeKhBaUiJBnAJP5q0UU8hKmlYsJqsIYwTG2Y5iUQuICd+aijG0URp0qSDMA5ExinYEumvwova0I6i45UYS4FJA710iJldlMRFpNRXpH+zlwaGuyg7wkmJc8VrII0WXzzR4AN3LX8V37wfm4qTvxrn8lewHWysRCsVlfDAKUiHC/vWLxBNXD3S6U3LnRFXNKFg3/YFwYaS+HqfUfh7H4aoK0OEzGycbLnRlJoDuBf9y3RTNXyjlboyHKvewrZrJf4jLwWbGXMh80oQpQMxynYlvFhJwLb7G2y7VxEeOZvQqLk4V76OfcdXjYX5dLDtWolt10oCM85H7zOqcQBDRwRqklruonPFew2EIDjhFNyfPdEke6FRNgFIPYT3/b/hP/w7MfE98Qjsr0zL+qD7ggTLa3D3TpySbS/0EjxQlXKsdBCqws6XPms3BebAJ99Q9vmajM6p37a/XWSJIUkPqUT0O30Wnv4lOIrz6XvCNIywxu7XllC7YTeOwswDsZM92bfW+hIb5CkI4saTdjq1xCPqQBKjxDjx4Rb1MfIq0o8Df9Kg0jBOHCJxfSjTpWMWsFMJkdfQ/DJda4cZE1LV0LHaSR1F2GUQBz6zoaIAxe6kPmxrcLk0DqygxTTbbDpnpLJwIElfpph1YCp+GnYKROKHCyHM19gmw3GVRImKJm1Js7Bi6uJE5dVx4iOYg6aPlgKTBqFhs/DsWx93X9PbU9rfecWG1j871XuVqj1Ri0Y8BBJRX45SuQvDW4z7k0cRwdi28MLQsW//Eq3vWHyn3IwQUOIxqKiox3Dk4f7owYQZPskQ0mhZ3VYIZH7PDEdKgZS4vvhPjPICje+HUr0Xx5r30Pschlq2FZCog8djlO2KqRIcI2bj4Dg2foKor8De0EYhpk9SQ0aa68sXqD/henB6UKr24FryDEqwLmlatkSglwxKGKtklAzGf+R8nMtfRW0S0Cua/C/DQdyL/41v3jVJLUuqO/3MAcWe/LIw4Iwj2Pzwm2lbNJIhdQP/nvbLDNr5wqfpH6wIFIcdI5C8d06uGPrd4ygY1aioHvxsDduf+4jg/iqKB3sZ/8O5aVthkgW+toaIMtBcmcgk7TYih5v66A3fRgi3qI/ZH/ndVCBqEpbwD+NAlyoKLcvlR9ZvKgkSb4rmlwnllRKvqCUoww2KTGN3aQGUFuYTLqttca6TloXymo6roqOkmbFUTwE6jhYdpeMhZfLWEQE85KXhRmqOE39OFJjOYXPs5BilQ6IxGrJJ+rOZ4aKYMSBpjBO53gfHnZi1ZoBNa5ikOs6xZbEZH5IgGNm+dw1K5S7TUuNtsI4oCsHp54I989Q5083R/nUD1PJtKPXlCa0dQkrs277Avfgp7JsXY9+8BG3Zm0iHu0XmUyJse9YkzCAQAIaOfefXCH817kWPR+NsEn02JAIUJWVLAqNkMHq/sUnmlqCFsW9blnQcV89CvENS1yDyDu2Dszi5i23wRXPNTtTZQAicJaldepkipSRwsJrKb7amPrgJnVF5EapC4fghMcrLvg++5sur7yO4vwqAzf/9EiOsx63yG3dM0fjTFEOKjBsxxioDsejYk/Y2ii+bjDZgdOJP2vsHkjUbFNRRiN5wm4usKzKe6dKxpd38MpkMThFI2TSyKY4UdWOkNC0xukzc4FFKs3ljRElMJ8PJdG0l/u5qOPHJvJjXKtV7J4g0w2xFBek2Yllg0iQ8/Aj0ksHYt36BWrED1W4nVDocKQWOLZ+l5SoACI4+Fm3ojKzJJe3Jqzo2Pc62/eukVhQpFOw7lxMqiQ36NQp64Zt7Fe5PHjYVoAzk05r1ODI3hlAPbkZoIYy8UrOibtiPWrMfKVTzbzX9j6ZSuTthlliEqNWiaRp82A/SIHDYHFwbFiadI7X1SaJW7MK2ezXoodQZToV9CE48NVpNOBnqvnVJ5xeYsTmMnhuzXQ+G2fPmF1Qu3wJC0Ou4yWx95O2kcx3249NTyoMhoTXl7uMhJf2+lb0CfHogyOo7zLL8ui/D7tzZKiaXRYSqYC/0Mun334tuk4bByp8/FnNcoKyOT65/hmP+chHCRkbxMBErjCEb3ZPJglEj+5rGekSUgXj4yCePKhL194k7R8PNMFlWDA1y2mSYRO+0wHxKb5pVFZHbKX1o2FHbWPwtIrMDf4NLCgQ6TvyEKyrJR8fAbPgYzqCGStOU8ebyNSqNXpz4zQaeCHQpUJLU/YkoRnZqMBqCj5tbyUINcjoIoKCn3Y3aTR1+8unIWBhLgckAo6gfwSlnIASUluZTV1aLum1ZWo8rUigEpp3TomlhW9FLhyAdnqRBwdLuQi8ZEpMpFA8hDYS/pbkTzDiNwPTzcC96zKyRkLIPkkDa3YQHTm6yUWLf8DGOTYsQemMlS2lzNaRYy4a/nYSHzSI06hjSKvgnlFa5M4SUyHAQW212Yh6U6r1mE8Ykx0gaWkscc0Xa4zZ9rdI9puqbbXzw038QKKtB2BqeQDUDe6GXcHX8z8HIq0+nz/FTU87ly6LLx1bgoddsM91eSsmBhSvZ/PBb+HYeQHU76X/6LAadPwdXz9SWsqrV21ly+Z8wgq2rItvZcBbn0//bRzD4O/Ni1n9g4Tfo/pZP+/s+28Rr3/4bI86dTt/ZI/H0KcTVI7VZPxpXIiDVF6m5Gyd6XpLTDGzU0gMXfhxpFFgzlYzMXGEJ9uKlCtGswWLkd7sIUyjLMu7bFI+m1XlVtIZ5JRimAiXQ8IpawjJIPQUYKNE4mXTHb4qBShg7HmrjHpdMIWtaEM8l/ISkAx+xxQQlSrQ/lNqQI5YKpwiiS0eHplhnXYEJBoPcfvvtvPPOO7hcLi6//HIuv/zyFsddcsklLF26tMX2s88+mz/84Q9UV1czc2ZsZ92ioiKWLFmSbZHbhNZnNM6Vb7TIAIogAenw4jv2anBmHmiXEkUlOGourm/eSHhIaPSxYLOnVnSE0tCkMT5G8UACs76Lc8WriDjl901FokG5kRJUG/ZtXxIeMh0cbhxr3sW++fOWN3gtELNNaEHsGxYifJUEp5yZ8tFI7zUc0VBoMFMEEqVyT6vObY7ir055jICURf2aoxf2Q/hrkp4nArXYdq5EGzgR/74Klv7wr+h+87k0UrAOQKvz4yjOp+TwUVSv3g4SekwezvArT8U7sGda8jgKs+frHvLd48xGkFKy5PI/U/n1pui+cLWPzQ+9ybYn3+fwh39G4bjBCccJltew9Io/dxvl5ajnbmX47LGUlcXWAJGGwZ63v0x4nm9fNSvvf5+V97/PoFMmcNQfz2t3Wc3slgC+JD1zJCp+8ghhxytrElp5IvVIwg1jhbFjly2L1zVFSxBnYyOUshowxHbCbiseqrGhmbGHTbZH5LcRwomPEO6kvaJSpWMr6LgSNNVsbiVrOma8ce2E8FDboMS0xE8eebIqqVyRucy1dWEF5q677mLVqlU8/vjj7Nmzh5tvvpl+/fpx8smxlWfvu+8+wuHGi82KFSv46U9/ysUXXwzApk2bKCoq4rXXXoseo2SxxkHWcHoJDz8C+6ZFCVOQA5NOax/lRUrsaz/AsfmzFvMCoNgIjT422jNIGzQF+6bPElpPhDRiLSZx0HsOxXfctWYDxPpK07pTPAjbnlU41n0UbQcgAPw1ONZ9iH37lwSmnhtfeYGE2+y7VhIeMj1+HRspzSJzehjD0wOtdChq+ba0XXkxGLrZEqFmf8aByjEikdp4KhFxU66ToQ2dgX1vikwaQ8P19f+or69nwxNr0XyBuE/FUjcIVdZSNHEYk//w/YzkiOAZ1Iv8kf2p3bi7VedHUF0OBp9/DAArbv1XjPLSFN0fYumP/sq89+9MWCl4xwufxLVKdEWGXXEyhaMHEvYF2P3qEnx7y3EU5eEZ0JNVdzyNf1dZWuPYCzwdUonXLJEfRmA0fOTiX6cdBHAnCZaNyOqXXiLfpCBuHCL++9q05kw87Gm4hrL52pil/JMrW6brykxlthHCJmNdZOm8X6msLOm4/1rKHUSgxw2G1rHjx4ub+qTyRYKPW1NXp7VkVYHx+Xw8//zzPPTQQ4wbN45x48axceNGnnrqqRYKTFFRUfR3Xde59957ueKKK5gwYQIAW7ZsYejQofTsmd5TYS4JjTkOaGgTIA2ifX9sTgITTjWLjbUDjpWv49i+LO4tVwDBoYcTHnFkdFt4+BHYdq6AYF3cj5fh6YF0F5mF1QqTlHkXAqNkcExtGbVqL6K5JQUACYFaXF/9N6O1QUNMzo6vCTZTYNS9a3GsX4haY7p+ZENWl+HtiVp3oDHNmDQVivxSQuNOwr3oX0hDi21FELOWxKSwojc5ThIePD2NIxvRS4cQGn4kjs2fJVxTZJtz1dvsf+9ASmH2vfsVQy46NiM5onMJwWHXnsGy6x5IfqAiyBvWl7pNe0wrSyRuRlFQ7CpT//IjHEV5hH0B9r6V2KoAoNX62ffu1/T/1sy4+/e9m7jxZ5dCQN2mPaz728vseOZDNF/QDJhuRdp1/++cjI4NVZrm/3TjT9I9tuk5CgaFwnQthqWdIJ6YJokKelLlJUK99BJuopDoOPBJL55madRNA3ETB6VmL6Yp3VL86bxuipAoUlJPIS58OKQ/rXovzcdPN907XeyEEiqDITyohHFkEKjcEWRVgVm3bh2apjFlypTotmnTpvHggw9iGEZCC8qLL75IdXU1P/jBD6LbNm3axJAhQ7IpXvshBKGxxxMefgTqnjXRjsNanzFga58sHFGxG/t2M/Ok+Wc08rdj8yLCI48Ch/mhlE4vRn4v1ASVaBVfJd737gUgoKg4BkwkNPrY1IXfQj5su1YmzQIS/uqMLydCGghfVcw227Yvca18PcZAKwwN266VSHcR/onfwrn2Awj703oGEEi0ITMwivriP/oKHOs+RN233qyhg0A6PNEWCdkgNPTwlDVb4p439ngMT1FSVyGYSV/9xzjZsSJJ4J0ErT69wLxE9DpmApP+eDmrfvNUwmDZkhmjmHrvD6nduIftz35E1cqtKA4bvedOZNB5x+DuZxbv2/vWl2nFkR1YuDKhAtNdrC9IOPDxNxz4aGXjtlYoL0UTh+Ed1JswPhT06A0yXYtEppabpsfaCGOjGj/5UXeCoyHuItWYKgbNnYAhPGjSgRN/NM4k3FDIrqXFQJqBv0gMlKxaWJpXsc3U0tESs35LAA9KQzmGPCpQOsBqFg8X9dgalBgtWg24EQ0nzgTWMCDayqDLBvEePHiQHj164HA0at6lpaUEg0GqqqooLi5ucY6Ukocffpj58+fj9Tb61jdv3oymaZx77rns37+f6dOns2DBAnr1ysz83h4fhMiYLcZ2edGHNWYYtdfbqOxZi+uL/6Q1vn3H12gjTSuMqC3DVrYl4bExT/eGjm3nCtQDmwgccwXS6UXduxbbvg2gaxiFvdEGTUW681Gq96XVrDFTpBDg9Da+zkEfzm/eNNfSvGiflOCvwrHrG0Q4kNZrIwG97xj0/mPMwMHCXgQPvwDCAbM6rtOLc+WbiN2r0opbSRm8WzqU8ISTWveZFALZpJ9TwnkM8BQmby0gVIWCkf3b/N3of8oM+sybzP4PllO2ZD21m3Zj87jw9C+h36kzKZ4+EiEExZOHUTx5WMJxwpXxA8eb499bzvKbHsa/rwJXz0JGf+dYPFNGIBQFV98e+Hen51rpLBSOG0L16m0td7QxG6pgzEAOf+QneEVVy+DLVgaNZnJsJDPJTS0aDiRKQ1xI6nEcBBrqicQeLbERIE5bkCa/2/Hjoh6lWdHH5sdlioHALwrQcCAwu0InGy9pnAhm2X7ZUH4jIp2piMmGgN+OJ1Lkzk4IByFCOFtkFGk4MahrEd/TdIwgnqzIn+7nL6sKjN/vj1FegOjfoVB8zW3JkiXs27eP888/P2b7li1bKC4uZsGCBUgpuffee/nRj37E888/j6qm3/ytpB1qTHTE2Ikw6qsJfvF8WscKwFW1DVfpSQBo+74mnMTZ0cKSIw1EsB7vunegci+ytiKSIgD71uFY/zH22eciiopTGhZbdc+WEveY6eSXmq+ztuprwslSpaVEbdILKhW2sUfhPvzb5LfoJZQPmK5L3ZhFaNfKFudminB4yDv+u+R7W1952HD0SpguGp1HgWBdCmVSN5j4g5MpLc3O57f3JfPgknmtPr9m9EA2pHFc9TfbqFmzA6kbCFVh3/vL6TVrNFNuPpfKrza3ev5coLodqEKaKTxZSt929ixgyk3nUbN5L1vufZ6CQYUM+dZEHAWNboGOujlG5inySFRPPlp1LTKcOsBaQVJSkodIJ/uwCbq/GqO+pWU5G+tVkBQUelHsLrQaH7INxj4B2Nz5lMa5DkhDR6vIrRIetd4TxOXxojYrsik1J1r13rhJK4q7iCJvSyNFe5JVBcbpdLZQVCJ/u1zxI5PffvttjjnmmJiYGIDXX38dIUT0vL/97W/Mnj2bFStWMHVq6lTPCOXl6XXyzAQhTOWlPcZOheOrV7Cnac+QgBYMU9dQCdJe68MuIE13a8MgBsaO1SCE+eFuUsJTIgl98h8Csy7GpdrTSvfNlODCZ/EX9UN6ixF15agp6r2kg1RsOE6+gmpHb2RFip5Ujj44ew5DPbg1dep4w//xgrmlEJRXB8DflkB0B64e/VEq9ySUxdBh15oE7qEG5XPo/OMRQ/pQFqdCaC7wTjsMxWHDCKVO1YzE0UT+P7B0PR/94G+tcrPkEnf/EipWbc/egA3PFYtvfCRm87K73uDwX5/JsDOmJDix/ZBAwFeP36fiQG1WTD/xOeXldWkc2RSDAsoTntFWK4wEAtVl+ChM4FzJcCx/iGBDuQq1wdYR6Usk2jB2qnkzGVcCmq+SSl9Lm5CgB3YC2AliUxVCuiCEG91vhwRlODIlco9NRVbTenr37k1lZSWa1nghOnjwIC6Xi4KC+E+en3zyCccdd1yL7W63O0bpKSkpoaioiP37M6vZ0byiYLZ+2nPsZD/q3nUZrV8vHhg9Vy/s26qbv4CE1XsRAvuWpYQHT89ue4AGlHAA28Et2LYtw1a2Na7m35RUMkgEWv9x2PqOSO81RxCYcSHawImmSyvemA1Pi4kuPgIQQR+2bcva/P4Hxxxv3qwSrG/twjrCgfh7vUN6M+H2+Yy6/uycfHYT/SguB2NuOj+uzCkxJMGyzEuf55q6TXuzO6CEULzXwZAsue1/bH1jRXbnS1Mm2VDZNyRdIJPfQiPHySbVgKPXW6mjyDBC6i322WUw6Re/rUqBAGwyhJSSsHS2TcGQmPEuEpyynjyqsckQCoaZzt3k/pLx0EnOzVRmgWl5ivd6G1IhKD3U0wN7jwH4KUCT9qxfF9IhqwrMmDFjsNlsLF++PLpt2bJlTJgwIW4Ab0VFBTt37mTatGkx2+vq6pgxYwaLFy+Obtu/fz+VlZUMG5bYl97tkRKhZWa/1AY3Wqv00qFmplEWA4OElKgHNqFWbI9+SWSC/9s0T8MoSeNMhEA6vEnXJ5DofcdkNrnNTnDsiYRHzEbvMQA9rxTdW4IUKlK1o/c+DK2wb4pS3hL7zrbfRIzSIQQOvxjpin0g0EIGK9+pZe3C+AHH435xMUe/eBsDzjgCkYsIwRQMOvdoxt9+CbaC9CpLW2TG4lv/S7g+w8rEbUQIs44LgEShjoKEN6fItjA2ml4xlIaicIWignxRRYGoII9K1CZO63S7KLcFIaCAcjzUpFxDKgwUbARxiZb9kOLVb0mFlFAji6ilMOH+7kpWFRi3282ZZ57Jr3/9a1auXMl7773Ho48+yvz58wHTGhMINJq3N27ciNPpZMCA2KyMvLw8pk2bxh/+8AdWrlzJ6tWruf766zn66KMZNWoUhyqiviLtOiUS0AZOiW0UKASBGeeB6ojt6ZRinFQzCohp2tj09ijJvkk0njyRbaEh00HKhDIbDg96n8w6H9t2r8L77p+xb/wUpXI3Sn0Fan050lOI79irCcy8wIwXSlru37TCZAO91wh8J/wU/xGXEBoyg3DA4J2/l7Hhs5bKixBQMCi/0youTRnw7SMYe9MFeAZnFqhvkQYSdry7usOn9VKLh2oEOjoOqilGo2VvpEiRtTxRRz4VCHRUwuRTia1ZXpLZrbkaNzXRpohtJdlNPmopFLJFMbhMLQZCQAhXWj2eMsGFD1uCJo2t/dobUmDEqQvTmch6ZbgFCxYwbtw4Lr30Um6//XauvfZaTjzRbFg3e/Zs3nijMQ20vLycgoKCuBfWO++8k7Fjx3LllVdyySWX0L9/f+65555si9ulEFp6T1ASCA+ZTnDSt1rsMwr74pvzQ8JDpiFtDX051MRRNanMrxEFJ16WTnv5c5srSIBZc2fGBdiq9rQ4JubckA8RSD8tWqnYiXPZi2DoDdH3MrpW4avC/dkTYOjIFJYtCWa/pz0pCtKlixDoPYcRmnAySu/+HH1ZCYW9G0LamojRa4STmf+4NmWH6VwjpWTdn//Lyl88hm9n4u7qFq1n90fpu5+b3pSb32gzeaIXwqwvkt9Q0h9U6umBj/yE1xwFg3wqcVMTHaP5mGbGUhAX9bhF25QYKRtzE5Kto/nfUhLtJ5SoGnBzwtIebSCZSrHQ02ynEHmNk1X2zRQpzSKCucmJSh8hZXc2MNGiFHc2iPRCao+xk85bcwDPR/9I+ZEKjDsJbfis9AaVEuGvwfPeX1r1UY0sv7XnZuPrIQHpzMN/xCUpXx+JIDTueIpmnZTW++da+hzq/g1J06j9088F1YF7ydMp5UQo+OdciVGQujN02oR8uL54HrVsKxV7NMp3hFEUSa+xJdhPvRi9R5xKxp2MssVr+eJHf8v8xMRJdRbNEKrCuZ/9HJsrvZtt5LsRwoHSUFdFR+DCLFMQ76afrDZKCBd+8gBhuoFE6tTqdIkoIelub44mVbOKLLFunFTnSgm1FCOBAipizm9+HICGDZWGh6Fk6dYSdFRsCdoFZJOIbJH3Uwji9kdqTnveByNjp6JzP5ZZxOBc+0HS/RLA7kIbkkGlVyGw7fiq9cqLoiKM1n3JsnXxEgDBehwbFqYeUwhEgkJ+LZAypfIihcC2bwPBKWei9R2DundtYusP5mtm37qU4KQ0uj6ni8ND4KhLUar3krd/I/mGjlHUl6JxUymv8HWJG/z25xbGVutNE2fPIoIHqtpHqG6G1A0q1uym55TBIEEoyb8tkRusJh0IMLNOMNBxEMKBkGYbRAMFgY6rSZPAeGM5CWCTIUK4sInkGWfpKh7NZU13e3NUdOopwIkfe4PLSiJSuuzNNgoaYZz4ycNNXVzZI8qBDS1tBSmMC1XWZ7SOTGg6v4GCaFCaQtLd0Iuqc1tfwFJgugzCX426f33yAkpA8LA5oKb/topAHY5NiUvUpzgbw1uCUleWcYNC2XA7z54SI7HtWZf6oiNliwDYZMemXJeUCF0z44umnYPnvb9CoDaxEiMN1H0bYIwf+9al2Hd8HS2aFx48lfCQGdHKyZliFPbFKDSL3QkBokV9m85LzdodGSsvAGP+3zms+/P/COyraAepuhkCeozui7+slorVpiLjLEzeo01KcFPfGEQvQJE6dhEiLB3UNzylR9w9qVAwcKURt9KaG3amSk/z+YQ0y/vbZTAmtTnlvA3/h3CjouEgfhmDeEpN3PFMUy0hXEgEHhFfKWorBgpB6W5oH9D5lZV4dMLuiBbxUKr3p1dd1u7MaFzb9i/BaJ0pVyDR+o1thfLSumNTBxMb6AV9kh8nBNqACUgtjLpzJY5v3sSx+h3Ug1ta2sMVBcNbkuoZDL2wwR2kqEhnXurX0tDwLPwnjvULEf5qhKEh/NU41n2E5+OHEIE0LUTdCMXZupYbWx55m0l3XJZdYbopJeP6ozrtuEvyGDB3DGqar3nE3dG8ArmtSdxF4n5EzcYSqeNNmpJpvE1rkRIEOh5q8Ipa1CaWklTnNY1/URIE0qYao/nvdRQgUQjhxiezVzDVkKZ7qFYWUUsJITx0VeUFLAWm65Du03SGT922PYldHsmQCAynl/CIowgPnNwKL0WqpGPQ83th5GXWzFOtSVFfQxo4Fz9D4JnbcX31P+zbvsS+ZQnuz/+Ne+H/IfyxT5LhYfF770RkRAi0QVOi2/TigTEZXi3OMU0jiEBNTEluM+BZIvxVOJe/knwN3ZA+x00xq9JmSM36XTh7FtLv9MPbQaruxeQbTkJRFURDSYt0YmGaZ9003+fEDxiEcWTF5dPa49qKGQirYW9Iz05XeQnioultNFVsS6K5wYzDCeChhmL0Jo0wQ7iopoSwtEXnzSTzKWYuzIBf833rAr7lFFgKTBdBLx6IVJNfcKRQ0Eszq5PTmuq5kZtwcOo5oNoITv424RFHpT9nZJxUxxk6/rk/wj/jfILDZqWlaKXKfBKAWrUbQqaZV0gjakFSag+aWUV6o+k4PHg6eu+RLdLJIxlHwUmnxzS7DA+dkfTKIqRECfkSWq3MujobUQ50rdL4bWXQ+ceg2Frn8gpX+5j028sYe/MF2Au9qU84BCkc2Zu9izbx9Z/fZvub36CH03OPpEIIKBLl5FHd6ptqZ8CMT8m8R4DeLApDw97q16COHgTxxmlQCaBQTxG1sogQLsI4G+JUMiOawSWCrVpvZ8OKgekq2ByEh83CvvGTuDdoiUAbOBnpystoWL2on+nGSNMNZFpGeiPze2Lbsxql9gDhARNBiIziaFIdJwACtXg+uA/FV5XVZ4Vk8Smivhzb3rVoAyaYGxWFwIwLTEvN1qWI+gokAr3ncMIjjkIvHRIzhswrJTjpWzhXvGZaWhpe18hro+f3Qq09kFI+99Jn8c25EpmfmQWqqyKcdmQrLDAA7r49ABh80VwGXTiHDfe9zJZH386meF2e6o37qdlyEARIzcDZw8Psey6g1/ShWRk/E7dQZ6S1lh6l2ZUpUuMlExrdUKmvijp2/FGXlcQmKxAYGcsvpWk908gs5KCzYSkwXYjQqLkIfzX2XStNN4U0ojdJvfcIghNOyXjM8NAZ2PdkVuDKVrMPWdNYuM6x+l2MwiymBdNg7dBDCJ9pIeooL61EYNuzplGBAVBUwsMOJzzscNDDIFSIU1k6gjZ4GkZ+LxzrPkQt29pkbFBSKC9RDA3n2vcJzLywlSvpOlSu3MLi+Xe3+nyjyZ1TCEHZ52uzIVa3o2mQdLDaz0dX/5uTnr2KwmHZUZI7eZ3EdqG5I9zARgAP7gwK7AkBQdmawH2Bjzy8DdWBM3XhKbL9U7TbG8uF1JVQFIJTz8J39BVog6eaJewHTsJ31GUEZl6UUfZRBKNkMKERRwLp5QTFxmw0/EgdpaGAXLZonKdjH+sEEvTEptXK8lq2r99O5cHkWS+Gtxi1ag8gYl8r0vM8C8y+V8qBTWnL3hXx76tok/IC8NFJP4/+XrdtHzVr0+9IfshiSAzNYN0Ti3ItSaehNS4wrZkNQGDgJJDROAHpbrUlRMNJPQUZV8yNZDp1dSwLTBfE6NGfYI/+WRsvNOZ4jMK+2Dd9hlrduiZz2fwqRNwtufh6SSEw4rhttqzaxPN/e4b1yxor6Y49fALnXXcRg0e3NMPbd3wNWiiuAhZRYlKtz5DgWPQkH9eNZOI55+DyxO/o3lWRUvLZd+5s+0CGwZ73ltHv+GlWTZgMkLrBjre+4fBfn5lrUXKOlOYDnCLS1zyEAK+sIUAe4QYFxIE/bZeOWaxOQSDxUN2QdeRqiKtJ/+qn4aQWB6rUsBPEJdJzYYXo+tcTywJjYWbS9B+Pf86V+I6cn2tp2lVxMaQkWfFpISXhwdPQwhp1VbXoms6Gr9fxxytuZ+PXsaXY132xmt9f/iu2rGppJbHtW0cyW0s0kLlBFl03/1+1tZ63llag6RJVESgCxhlr+OP3f42vNjt9XzoLa/74LKHy7HSSXnnrY/j2lrPjpc+zMt6hghYIJ/0+dBWysYTWWHsVDLyisSeTgzTbvTRMZRMGDgLYCeEgQL6owkMNmWcImfExQdzoUknd26mhzkxXx7LAWMRgFA9C2l2IcPxiTF2dXz22nXOPKWXCUC9Kk6DRiEWkvNdUnrjrPyx953N0TcfudGCz29A1vcWF3jAMZFjy+B0Pc/szf4ydSE9dW2f9Th8Hq8IUF9gor9b4aHk132z1IYAv1tex4OKB2FRB7x4OCrWdvHDfM8y/9fvZeBlyTmB/FTv+83HWxpMhjYWn/RL0rn8z7jAE5PXv0embfKZDW5fQlgJ4AC7qCeNMy/qSqv2CnRBu6vCTXv2XiOriIJiw+F7TdgEGCvUUpl27pzNjKTAWsQgFqTq6nQJjGJJdB4Os3xHgj0/v4oyjSjh5Zg+K8syvgJ5Xyl7vaG694d+EQ2GMhoDHcDBEOJg4JkYakp0btrNj/TYGjRrSOF9Rf5Tagwmzu+qDBr/79y6C4Zb7JbBqq4/XPq/gzNklSCnp08POR68u5LyfXIzb27pKvZ2JPW8uzX4ZCkt5yZiRF3af+jlNb9K5wEEAAxUhkxfBSyWfEOCQAQJ4UygZEg810do18cZu2s9KoqJJO1oXaROQDpYCYxGDUrUbJZAds34ukFLGfaJUFMF/PykHQDfgxU/K+d+n5RTn29B0iV/fgsvzDaFgGGlkXtL+wM79MQpMeOgM7Du+Snj8pyur4yovjeuAt5ZW8u2jilGEwBc0CIfCbFuzmTEzxmcsX2fDv9cq/Z9rnD28jDx/Rq7FSEom2TVNeww1jzHrCKVGQSOECzdtr6QtBNhkiHASN4+X6pRdraMNGhENjTS7F13fhmSRVdTyHVnsUNTx+IOmUqDpEt0wfwxD8sQ7B/h8dW3MsVJCeY1Gdb1OKBCipqK6VcoLgKcgtoCaUdiH4JjjzHlEU1eV+fvmugIUNXnmQEWtRr3fIBQ2+GqjeVFc9Gr23C65JFhem/ogi3YlWFHPygc+MF2hnTAOJqKIRH5PFyGIdsvWEYSxdVCNGjOupC3F7GJHS4xKGLtIrrxExxFmI87uUHm3OZYFxqJbcc9/dmMYcOT4fNwOhb0VIT78uprymuxUHo1HXlE+h00Z3WJ7eORsjILeZnZX+XZAYhT1Izx8FsqapcCWlGMb0uDVz6ujitmX7y/lsl9eic3etb+6tRt35VoEC0APhFlx7zsUj+vP4JMnpD6hgxGAX7px4s/osSpyY1eRKTtfZwMhAKnjIGC2WUFFQY/KbMjMO2VoSVKjMy2WF2lW2ZUfTuPRta+CFllHLx3S4bVX0iXylJgo6LDOr7Nqq5kNsGZ7x2XsnHjxqQkVCr33SPTeIxseISU09EmaeLTGB8+/m3LsWx/ezsGqxgtwKBBk3449DBg+KCuy5wI9FMa3Pc2CfhbtysZnl4KAaTd/K9eitCDi/nAQooZSPLIGh8is/H1HxsOYvZRauo/8eNBR8crazIrNJdmnoGfkXotkHnU3LAXGIgajqB96jwFmEbYMu0y3N0II7n1+F5ee1Jvigsa+UFJKlm+q557ndudErtcffYlXHvovAw8bzHEXnMSsU45CaVKpd/varXz80gcc2LUfoSioqgJC4Mn34K/zJzXfN1VeInz++qecd93F7bKWjkD3pZdqatFBSMgfXJJrKeIiBKjoqFLDRwE2Wdaanp8ZE1EOWhOD0xwXvpj4nHRrxDgINGkb0Gx/BsqIlBDCTXcJ3G2KpcBYtCA44zy8i/+NUVMGpF94rSPYvj/EVX/ZzIShHi47uRcHqzSefv8A2/fnrjFZMGDekLet3cLDtz3AykXLufJ3Pwbgqbse48Pn30VRlWhmU1vp6gqMPd9j2tONzmnpO9Tw9Cmkz6zMmsB2NCo6OjY0bNhTZPlkg8j42ZintcHEySzhAVzki9SNeE3Li0IAT/oTdyEsBcaiBdJdgPPM66le8Rm2HSsQ9ZWIUH1GY+wpD/HesipOnllEr6LMu6a2kElKyms09paHkMDKLT5+9sC2tEvzdwSy4Ya89O3PGD19LIF6Px82uImypbwAVFdUZW2sXCBUhcJxg6n+ZluuRbFQBIf/5ixEkt5enQGVIAXUZVQpt6tjJMmxsWGktOZICWEc+MnrFjVf4mEpMBZxEXYn2pDphAdPh3AI75t/SHq8bhh8+k0N735ZxYHKMFX1ZqOwsYPdaSswyWJchBC8vKi8hbLSKS9nAl7/18vUlFW1y/AuT9evAzP+F99h0QV35FqMQxpHgYs593+X0kmdO54qEgfTDertpY0QEJKJU6jtaVT8NRD4KMymWJ0OS4GxSI2qJnUfrdpSxx1P7SKekeG/Cw9S4FXZUxZCUQQThnrpkW+jPqDjDxoUelXsNgVNN3hzcQVSCAo8KgN6OhnR342mS2yq4PXFFbz9RVV7rTC7SCjfc7DdhlfUrv80VTBqAJPv+QHLb3rYciXlAG//HpzywtXYPa1rIthRZNplubsQljaMJLdngUxdEK9TOP3bF0uBsUiNomLklSLqylp8JXbs9/ObfydOid28N8QvHontDtw8/GFgTwe7DoZaWFP6Fts5cnwBX22sY+teK/AzQn11HV99+AVTj+3cRchS0ff4qZS8fxfr7n2R3a8tthSZDmT8j+bmRHlJt1puRHE5FJUXKcGGRrLIQx0bitQTvj5mo8jMOlR3Rbr+o5xFhxAa1rLkuJSSX/1rZ8ZjNb9P7YyjvADsrQjz34/LLeUlDs/95clOWXwsUxw98pj4m/nkj8xed3WLJCgCR6GbQSfmrppzusXXsomUjT+dncjaHSRu5xLEnbICb5Cu72pOhaXAWKSFNngqWp8xMYrGl+vrqA92rlTrQ4WDuw6w8H8f5FqMrNFj0rDMK31ZZI6UTP/5adhc8dNzuyO6NHsBdbUrlYKecJ+OnYA0FZSmSlnk96B0NfQ86t5YCoxFegiF4PSzYzY99f7+HAljAfDE7x9m8ZuLci1GVhh0/jFd4/G4G/D1n95GD6ZOwW0PcuESUgU4RQglR/O3BrMdQvLvQwAv9TIfvUkkiIGKT+Y19D3qIottA5YCY5E+ig29eFC0iNKesvYv0W2RBAmP/Pof1FR23eabEfJH9GfszRfkWozujwT//ho++OHj1O2uzLU0HUpXUV4iaAmK2DUiCOOijh5UyVKqZCm1FHfbonXxsBQYi4wIjzgSgcQXTGzetOg4DN1g0Ssf5VqMrDD4wrkMOOuoXItxSFC2fAdvX/QgtdvLWz2GZTBrPyI1XNJHcKgoLU2xFBiLjND7jCI4ai4vflyWa1EsAATs3LAj9XFdhMEXzMm1CN0a1W1n4AnjGHHuDEonDWTZna+3eqyuZtHoSggBSuesctWpsNKoLTImPGoO73/zRK7FsMCs/mtzdp+AzILRAymecRgVX2zItSjdjlHfPYIJV8/D7nUipUQIgb+sFn9ZHe7SvFaNeajWaWkL6b5mAg0OgVTotmBZYCxaRcBvpTZ3FqYcMy3XImSVKfdciaM4P9didCtGXXIkU288BbvXrP0SqXbtKs7DVeJt9bjtke7cXck0jdvSC1NjKTAWrUII66PTGbA77Uw6emquxcgqjkIvRz59C7aC7tmArqOxuR1M/PG8uPuEIhBCdBrFIVfWnI5YvxBmef9015isF5KFifUKWbQKh7v71xjoChx3wcndorVAc9x9ipn93M/JHz0g16J0efrPHYUtxfe16U1VStBkx7ouclVkTkqzsGZHKE5SmplF6axTSpK2ErAw6X5XPosOwW63vly5xuF2ctJ3T821GO2CoTU0A73p/BxL0vUpW7mTbx78EN+B9NLtJRAkcSPBbCMxrQ0hHB2uxAjR2NqkI+Z2EAKSzyUlBHFiOZFSY92FLFqFUCzdtyMQikA2670ghMDpdvLTv91MYUlRbgTLMlWrtrHnjaWEKmqp33GA2k17kCGrzlA2qN9dxar/+4jVDy3kiDvOYfDJE5IerwjwyPoOCtAVhHARwIPAwEGoQ+ZtPkdHFIEWImKFsWFDS7pOJyHChNFT1oI5tLEUGItWEc5RJc9DBSEEM06Yhd3pwFuYB1KyZ8suhKIwduZ4jjp9DnmFrcsc6UzogRDLb3mEAx+tbLzCW2QfQyINyWe3PE/+oBKKx/ZLeniHuFQwq80GcSER2NAJ4sJJIOZjIAQYUqAIGb3pt1XJyVWsjRBgk1pSGcz1SbxUU0MJliUmMZYCY9EqQsFQrkXotngL8rjqzp8wdmbuGu51FN/8+t+m8gKW8tIRSPj6L29z3D+/l2tJorflfMyKwE0VEykFGjYMVMLSgYYDVWo48GOTIVTRdT8r6TazFEjsMki4A915XQ1LgbFoFVrYssBkG0VV+N5tP+TIbx0dTXPtzvj2lrP3rS9zLcYhx4ElW6ndWUH+wOJciwI0KDINH/fGj73ERph63GiYqd86dvzYcVOHIv2HRP0ZB35LgUmCFchg0Sqax2VYtJ2b/u+XHHXaMYeE8gKw47mPcy3CIcv6pz/PtQhJiXwF3NRBs4q0IkmX5u6ElGBDo/n6LRqxFBgLi07AOddcyGFTRudajA6lfOm6XItwyLLr3dUdMk9bvIJCgCoMVGKDuWUat63O6I3MVCYhIi0FDg2FrTVkXYEJBoPceuutTJ8+ndmzZ/Poo48mPPaqq65i1KhRMT8ffvhhdP9jjz3G0UcfzZQpU7j11lvx+/3ZFteilag2q8R1tjj85CP51vfOyLUYHY5//6HVDbkz4S+vJ1jla/d5smFMFBgxf4dxJh3Xam9w6JD1GJi77rqLVatW8fjjj7Nnzx5uvvlm+vXrx8knn9zi2M2bN3P33XdzxBFHRLcVFhYC8Pbbb3P//fdz9913U1JSwoIFC7j77ru57bbbsi2yRSswdCP1QRYpmX7c4Vz5u2tyLUZOCFfX51qEQxdDsuHpxUy4On6F3s6Mhp2wtGMj3EJRyVR56ZCU7cg8rTjXkALD6oeUkKwqMD6fj+eff56HHnqIcePGMW7cODZu3MhTTz3VQoEJhULs2rWLCRMm0LNnzxZjPfHEE1x66aUce+yxANx+++18//vf58Ybb8TtdmdTbIsMMQwD2RlttJ0cu9MeTT/vP2IgF/z0O4w/YlKOpcohmqUEZxVFoLoc6L7Ufcrs+a4uEVkhJeSJGgLSRQAvptNAUE8hHmqxy8a1RlwumdARlhoB+PDiFZkp7FJCCDdWGnVisqrArFu3Dk3TmDJlSnTbtGnTePDBBzEMA6VJ8bMtW7YghGDgwIEtxtF1nW+++YZrrml8Mp08eTLhcJh169bFjJ+K9viAihYR892LVOtTu2Hp+o7gn58/EVX82jtQt7t/Ri3iYEhKZo5qTEtPQMmEAcz9x/yYrtS5xqwJ05KIaC4RwEmAMA4C5CFR8VNAAI18Kjv1LT6MHU04gfQUmIhiqQk7QTyddm3teY1Jd8ysKjAHDx6kR48eOByNfTdKS0sJBoNUVVVRXNyYtrdlyxby8vK46aabWLp0KX369OHaa69lzpw51NTUEAwG6dWrV6OgNhtFRUXs27cvI5lKStqvq217jt0ZSLo+gRUcnwGDRg+itLTjPy+d+jNqfYayzoGPVoJNSWjdchS6o8qL6Ijys6mwORGKCqHU8TgCsxS/gypsPfojVDtGyI+eXoeEnCBchbi9xThDfozaNM8RKqq3B3ZnPp5OoFymIpfXmKwqMH6/P0Z5AaJ/h0Kxhc+2bNlCIBBg9uzZXHnllbz77rtcddVVPPfcc5SWlsac23Ss5uOkory8NusR6UKYb1p7jN0ZSGt93XDd7cn3b7+asrI0r2BZoD0+o+E6P76dZahuO97Bvdv85C7sKjJkZVhknSSuuWFnTMXudeRceZFAAC8FRb3xle3ERvqOEolBqHInPgoRGHjbUc7WEsBOiEJK8gooL6/FKWsaqtkkRwIhaSdQJ6Curr3FbBPteR+MjJ2KrCowTqezhYIR+dvlii3Gc/XVV3PJJZdEg3ZHjx7N6tWr+c9//sP1118fc27TsTKNf2nPLqe56qDaUSRbn2q3oYetXjXpMGzCCAaOGJyzbrttmbdy5Ra2PvYuBz9dhdGkN5FnYE9GXHkq/U+f1frBu8DTZXej39EjO/R1bx4kG/k7LB2EhHkttxHOyE0iACTkiWrzs90JP0ZBmRdduJSgyrDpJkslqzT/6Uq3lVzeB7MazNC7d28qKyvRtMYL3cGDB3G5XBQUFMROrChR5SXCsGHD2L9/P0VFRTidTsrKyqL7NE2jqqoqbsCvRcczaNSQXIvQJThs2mh+8dhvcy1Gq9j+7Ecsnn83+z9YHqO8APh2HmTlLx9n86Nvt3p8y/rS8Qib2iExL5GbmoGI/m7+rVAv8/BRQFs0j84a4yUlGFJBNrMNqBhptxDQrQL5aZNVBWbMmDHYbDaWL18e3bZs2TImTJgQE8ALcMstt7BgwYKYbevWrWPYsGEoisKECRNYtmxZdN/y5cux2WyMHn1oFfvqrEw7bkauRej0nPq9M7nln7/KtRitonrtDtbc+VzK4zb87SXKFq/NeHxD07u3+bITMuGaeRQMKW33eczsGQcSgYKMyQ5SMHDip6kPWsPerT4KPpo3Wc1sceG0nE0WkGUFxu12c+aZZ/LrX/+alStX8t577/Hoo48yf/58wLTGBAIBAObNm8err77KSy+9xPbt27n//vtZtmwZ3/3udwG4+OKLeeSRR3jvvfdYuXIlv/71rzn//POtFOpOQs++vVIfdIhz7jUX5FqEVrP92Y8QSnqXhy+vvp+yJZlV1a34ckNrxLJoAwPnjcXZw9Nu40sJmrRRQ7FpcWhQXiJEFBkVvaFFgEkIT6ezpLQGKUEior2bIjjwpbU+03qTXqVhC5Osv1ILFixg3LhxXHrppdx+++1ce+21nHjiiQDMnj2bN954A4ATTzyRX/3qV/zjH//gtNNO44MPPuDhhx9mwIABAHzrW9/ihz/8IbfddhuXX345EydO5MYbb8y2uBatZPwRE3MtQqfmhgduzbUIbaJi2UZkmsUKpWHw9f/7J3og/QB7/96K1opm0UoW3fJCu44vBNiEmdZsE1rCm7YQ4CAYrbCr4cAvzVDcppaYrmaVEQIUIVGJrcPjJNOKx91Am+sghOzmFcnKytonQrq0NL9dxu4MpLu+BefewP6tezpOsC7Eo8ueyen8bf2MLjzjV/i2H8jonAm3z2fAGUekPhA4uGg1X/74/swFs0gbR6GbwuG9MMI6lWv3Ymg6w86aysxfndGucTCRz1uqKeoopEdpSfQzqhLCTX1M7yMhul5rgJB04KMQRWgUUEUmLiQpoZquEefZnvfByNipsKKFLFrNzx/9Ndcde2Wuxeh0zDrlqFyL0GZ6HjWOHbvK0rbCCJtK9ZrtaSswpbPGJK1XYtF6HAVuptx4MkNOmYhiN8vQB6t8rH18EVte/gppGAi1deXp01EmIkpHJihoeKlBECn0GJvd0pWUGAUd0VBgz6J9sZxtFq0mr6ATF0nLIZf9ousrdYMvmJuhJVui2NN/HhKqQuGYQZmKZZECm9fJ8Y99nyGnNiovAM4iD5OuO54JV82jbMWuVo+frhKR6jgpBTr2yF/kUR2NmWmaYdQ8BbuzIxvSoFtbHdiw3EcZYSkwFhZZ5IjTjsbhcqQ+sJPjHdyLKXf9AGFTIY2iZ1Iz6Hn0+IzmKBjdso2IRds47MLDKRhSihKnW7wQgpHnzUjbqpaMtigTUkKwSY8fO0EUkTrNOF3lKZeKjhkH1Ho1pGtVgMk9lgJj0Sb6jeyfaxE6Fft3ZNbqojPTe95k5rxyO8MuOxHPwMR+eaEq5I/sT8nMURmN7+nf/im9hxojzpueVOE0NJ3CEW3PIMy043PT/81+Ro3ZUDZCSZWOTJs0dgZXU+tlsDpPZ4KlwFi0id88fVeuRehU7N60M9ciZBV3vxJGXXcmc179DYf95EwQpsICRG+UnkG9mH7/NRkHhvY/fVbnuNvEw9E1bySe3gVJ3wfFpuIsar9U6ghSQljaqJcFaDjQpI0wTupkYYsidiINq0NXcB9lA42ub73tSKwgXos20bxA4aGONLpvUOrw751En3lT2Pnip9Rt3ovN66T3cVPofezkmHiLdHGWFHDYtd9mw99ebgdp24YozkPur+lyd85QTSCpgiINmfU+SPHaBQAEyEPHnrIwm44dG4lT8LvYW9BqTNeaK/WBFlEsBcaizfzoj9fx4C1/y7UYnYLi3iW5FqFd8Q7uxejrz87aeMMvPxnV6WDt3c9nbcxsMObWC8nzuFn6w79BFmJGOoqtry7nsIsOjxsDA7SL8iJRojVdwCyF729QXtIhhAsn9QkzjXJtpOvIDKjmLQgskmM9Plu0mZknpJc6eyhw6vfOyLUIXQ7viH65FqEFg4+ZTMn0UQy+YE6uRcmI9f/+jHB90GzV0Iz2KPklBNSTR60sok4WUCN7UEePtJUXMBUg060Uv5BdWNrQpJIzS0xHKS9hS3nJGEuBscgKvQb2zrUIOaewtIijTjsm12J0GvRQmD1vfcGG+15m00NvUrupZdHDsiXr+PKHf82BdKmp2bQ74xYJucZ3oIb3Ln+Emu3lgOnSlIZEStluxetc+NCxo+HEaOVNOIyTOooI44zWf4nUgrELDRWJbGgM2ZF05HxBvB03WTfBUvksssLP/r6AW77901yLkVO+/6sfJb1J7Nu+l09f+YiyvQfJK8xn1slHMXziyA7pDtzRHPxsDSsWPEq4ut5MxZaSjX9/hZ7HTGDyHy7H5nWhB8N8df2DuRa1BSd//QCrfv8MO//zca5FyZiBx49l+q2nseeTjVRv3EfhsF4UDO/VrrFqKjp2AggkEoUwDlpTDt9UgjQcorEUf+NXQ6IICEkbDrS457cHkfnb240UknZ0K4A3YywFxiIr9Orf27xmHSIBd81xuByMnTUh7j4pJS/c9yxvPv4KiqpEL4Yf/OcdJh09hR/94Sc43d2nA2316u0su+7vSN38MMgm7oyDn67mqxv+yYx/XMuuVz9H9wUTDZMzPj3vd9TFsRYlQzhs9J47iX3vLGsnqdIjUBPE2cPL0G9P6TDXh0DiFbXRz7UhBX7yCGcckCpxJYiFiVhjbBgYMq3SRFmjPZUXKSGMHR9F7TNBN8dyIVlkjV889ttci5Azrr/vloRPue89+zZvPv4KAIZuIA0DoyEwdOWi5Tx+x0MdJmdHsOnhN01FNp793TAoX7yWqpVb2fLoOx0uWzpkqrwUzxzF1D//kD4nTsWW524nqdKjz8whCCE6NPC1aeVcaFRo7KRWTqUWwkUdHmrwUoMiZELZzWaJRtTN1FFk+7WMyG5IqKHIUl7agKXAWGSNYeNHcMVvf5xrMTqc0644i1FTx8Tdp2s6rz/6UsJzpSFZ8tZnlO8tayfpOhY9GObAwpVJq70KVWHH8x8T2FPegZK1HxVL17Psmr+z/P89hFbnz6ksNVsO5nR+aLSWuKgjsUlW4qIOrWoXDvzYCSZNpW6Khg29gwu+ZVNhkoBfeqihFJlBsLNFSywFxiKrHHnqbP781gO5FqPDGH/ERM6+6vyE+3es30ZNRXXSMSSSlZ9+nW3RcoLuD5qPlimo37ov9/mx3ZCyr3fkWgTAfGtVYcR0lm6KEz9OTGVPkFm1XQ/12ETLLKv2pK0fVSkhKO1Uyx7UUNoQsGt9/tuKpcBYZJ2inj24b+HDuRaj3Rk5dTQ/u39B0mNCwdRPlUIIwqFwtsTKKfZ8D7b85JVepZTYCjwdG8hwiOA/WJtrEWJoWh+mEYkTX+vHzMHHJpIZ1RpLjATqyMdPUUOdF+tzny0sBcaiXfDmdf+UwFv+eVvKY/oO7Y+iJv+aSUMyYGT36MwsVIVB586GpFkvgr6nHR4tELdbq+eL4AFWBssJyY59su5utKYicntixHH1qGgoomtF+0csREbGt0xBLcXoVoXddsHKQrJoNy659fv8+/eP5FqMduG3/70nrfTngh4FTD/ucL58f0k0cLcpiqJQ0q8no6ePbQ8xc8Kw753E/g9X4Nt5MDYWpiE4YvTPzubjqu3sCpXxav12Nms10UNcQuVU9yBO9QxGsVxMmaEI+h19WK6lAExLhYEaty5MfKtM1yCAh7B0UkB5egZEmxOpdS6lsjthWWAs2o1jzzkexdY9P2L9h6Tfhfui/zef4j6lLbKUFFXB7nTwoz9c2616StkLPMx6/EYGnj0bxdkYpOgZ0pvA/MN5Yd9qfv/He/lL9TdsaaK8AASkzou+rXwW2NvRYnd9pGTUdztHVWwhQEHHQ01UYVHQ8FKNl5oUZ3dmFMyV2dNyJynugnaX6FDGssBYtCt9BvVjz5ZduRYjpxSWFHHbE7/jzSdeY+H/3sdXU4/NYWPWybM59bJv02dw31yLmHUchV7G/fwiDrv+LL5auJSVG9fz4L+fYs+f9mGz2dA0M7gz0T3gDf9OZrs7X4uBTokw46gO/81ZlE4cmGtpoggBdhlEJYyPArxUI0icJt0VMBriV/x4yacq6bE6CnZnHtR2rrik7oSlwFi0K8MmjDjkFRiAvKJ8zrvuIs699kJCgSB2p6NbWV3i8fniL/j5L37L2rUbYrZHlJdkHNB9lOsBSlQrdiAZJRMH0OfwYQw/ezrefkW5FqcFQoAijW6hvJiF9MLoODCwNzShDCTsxu0ThVbkSztjKTAW7cq3rzibT1/+KNdiZJ3W9pYRQuB0d//L2uIlX3L+Bd9D11sXlGsAC4cYnFfuxAiGk9aVicshUhV6zt8vwVmQ2+J5qRDCLG7XFiJKQWdSgPzko0sVN/Ux2zVs+Mm3Okt3AN37EdAi55T268msU47KtRhZ5/M3F+VahE7NL355B7qut6kD8m7pZ9YTN9HzmPgtGpLR5/hprZ63K1GxOrOqwV0RKU2lQOY4/TheFlIID9WUNnTjLqRGFlNPj1Y3tbTIDEuBsWh3vv/rq5g4e0quxcgqT/6xe2ZXZYN16zawevXaNikvAF9/vZJ7/v0Y0+79EXvHFKGnMd7L7GHU7y+lePrINs3dVbC5Wl/JNfJydnSH50wRwrR2QO5ljZ9BJRoaUTripo1btB+WAmPR7qg2lRMuPiXXYmSVQH0g1yJ0Wvbs3Z+1sR5+5N+sW7+Rh75aiJrEf2BIyaZwNa+Wb+Taf9zLtlc/61z+hvZAFfQY1adVp0oJQdyEZdewFLip7SQxNDkXwKIJlgJj0SFkHMPQQZx9zQU88uXTrTpXKd+eZWm6B6WlxVkbS1EUHn74CbbVVbAosA8jziN4ZNtL9VsxDIOvvlrB6998mfvH9XZm+FnTsHkcGZ0TeUl0VII4saF1AqUgOWbwbOeQU8OOnQBeqsijEg81qIQ5JAKuOiFdQ/226PI4PbkPXB142CCqDlbhKfDwrfnfYtrxR+BOUjE436Mwop+bySO8HDOxkFq/zttfVPLOl1U47QLXZ//Gf+xVyLySDlxF52fC+LEMHNifnTt3t3ksIQQVFZUAPF67DpAc6eyDBAwkKoKg1Hmsbh1rwpXRc96t3MLcHj1bFWidQqBOoRgVj+/P1P93clrHRrJkmoptEzoFsqpTKAWp6Cwy6hK81KIKvclrquEQQYLS2eDm6iTCHiJYCoxFhzBs/AgKigtTNjZsL/781gMU9ewBmBee0tJ8yspq496LVAWG9XPxy0sGYVcFqmpelNwuhUtO6MWR4wrQDJ17n9nCdYMXE5z4rY5cSqdHCMHvf/dLLrn0R20eS9M0dN3AbrcTDod5pHYdr9RvY5qzF26hsl/382XwAKEmsQlSSsr07Lj4VK8Lew8vjgIv/U6eQd9vzeSLH/6Vuk0dEzx72HdmgSrY9upKdH+Q/EElHHbRLIacPgnVnv7l25Bm66mmn/fOohh0BaQEiYqKmVUXee0i/zsIYmAjSPI+YBbZxVJgLDoE1aZyxpXn8O8/Ptrhc3/7ynOiyks63PqdAQzo6cJuE6hN6oUrZj4oI/qb1qT79+3FtmulpcDE4fjj5/LzW2/gjt//qc1jvfPuB9hsjZeqg0aAt/zJuy5rSA4YfkoVF6qI9ZTr0iAgdbxK8gDYoolDmfnQ9ajO2OOcpQUdpsA4Cj2Mv3IO025ofQxZw8c2+ntzmtcxsWiJjkjZAduJjyBuLCtMx2HFwFh0GHPPPZ6zf3xB9s36Kfjs9U9SHnP9/bdEfx8/1EuPfFuM8tIUIQRCCE6eXghaCNuub7Ima3fimh//gJdefJIhg9veqDKd4nfNubPqazaGTYuflDKaFbUmVMnngRSBxkLg6tWjhfICUDJzdPvfoxRBr+lDcPfMa/fvi6W8pMYmZFLPoRCgCImC1Yy0I7EsMBYdhhCC0y4/kyNOmc2tZ/2UcDjzL7vTLpg83MOSdfWpD26grip175UJR0zKWJajJxeZMn39EnrPYUhn9+/AnSmHHz6dzz97h7Vr17N5yzauu+5m/IH2y+BSVTVaPK/KCHFX9XL6q15G2guRwPpwJft0P+d4hiYdRygCW55padu0aSu3/eoOFi/5Ek3TGdqrDzczot10GNVt5/hHL6d4bP82p6JbZA9L0et8WAqMRYdT0qeYKYfls3R1VcpjHTbBzRf1J6yBTRUcNtCNy6Fw/u3r0p4vrzC9hmqjR5SwblN52uMW5ZkZIFJKbDu+JjxydtrnHmqMGTOKTZu2tll5EUIkvakXFRUipYwG/gLs1uvZrccqvG/6dnCsqz8eNb4bSeoGfU6cxssvv85VP/5/MXNu2L2TFQVFTHKWILKsxvScOpi5D1yCzW1+tjraWmnReqQUVh2YDsZyIVl0OMJfy7yJeSmP61vi4FeXDmLCsDymHpbHxOFeXA7zI3vKjKK055u/4PK0jrvuV5fwvZN6oumpn3qb30SV6n1py3OocrCsrE03ZJuq4nabZfMj40T6SQ0YYDZ+rKysoro6daC4D51Pg/HTsqWAwvFDsI/tz9XNlJcIa8OVWU9GKhhaytx/zEdtQ3E6i/Yl0Xtu1tVxYcW/dCyWBcai4xGCySO8jB3sZt0OP0aci8IRY/O47ux+qGp8Hft7p/Zh2foqDqTwDhXmOxh/ZHruoQKjkpMPL0E3UtesibkRC0C1vkqp6NOnd5tcIpqu8+ff34Zu6Lz9zgcYusaoUYdRVl7Js8/+FwAjjfcuwqu+bRzh6k2+cKBJs8+wKhS2yDquvP/H3HbnPXEVHIDPA/s5zzscJYs3rNHzj0KxKZbVpZPTNOg58vHQGqrDWHQs1lXXosORrnzIL+HmiyUPvbqPRatrWjzZ9Clxkupp5v7rR/P8B7t5/pP47eoH9rTxq7+mn8qrVO8HAbYESlMihJRovQ/L6JxDkWPnHo3dbiMcjh+Qm8o9pCgK9T4fl86/iIsuPIfS0nw2bdrFhEmzW6UY1UuNn5V/xlRnTwbb8ghLg+WhMrZrdfy40Msnny5OeG6dDPNU3UYuzR+V8byJGHTSeBSb5YLozEjM/kcOGQAkBiohXIQs60tOsBQYi45HCEIjjsK94lWuO6cf3zmhJ99s8bF6Wz0fr6hBAjv2B6P1V5Jx3rz+nDcP9pYH+eere6iqMxjR38V3T+hNQZ6N+iET0xJJObAFtXxbxpcgKQTSXYTeJ3s3su6IlJKzz7kkofICpgIzadJ4li+Pn9VlGAYLbv0N69dv4g+//yUAHy1cRDgcbrVcOpIvggf4Ingguq2wsMC0gqRQihYG9lBjhLhxwjwCOw62WoYINrflOurs6NgI4LWsLZ0EKwbGIidog6YQ7jcWgJICO3MnF/LjM/vxr5tHctKMIg5UBKmp19J+su5b4uRXlw3l3muG8+Oz+lOYZzNdAvs3pjxX1JXjXvJUq56fpLsI/xGXgNLw5Bzyo9TsR/hTZz4dSrzy6pssX5E83Xz06MN45aWn+d73vpP0uMcef5rPPl8KgN/vz5qMYGYxXXD+WQDMnJm6o/Vqajj2ld9w9P9+Rd70EW0qKF+7sxIZz5+aRaSM/Ylss0iN2RU7s9YNFu2LZYHpjEiJemAT9m3LUGoPIO0utP7jCA+aCg53rqXLDkIQnHYutj2/RTS57HtcKt8/tXUN6uLh3PAxvkGTzT8MHXXfeuw7l+MP1eLSwXB6Uav3gmxdrybDlY90ehH1lTjWvodt71pEwx1B7zGA0Jh56KXJU3YPBf7y13+kPGbt2vUEAkG2btkekw7dHFVVeeKJZznj28czZkx2XXeGYbB48Zc8/8LLLLjlep77z/+SKtFnnXUaAJtqDvKjj5/l9+4p2Mk8jkWxq1Rv2k/+oNR9pKQEAzPjxS60jArRRY4LShd+vDhkEBf1Md9Bi8SYriKLzoKlwHQ2pMT59UvYd61ECoGQEgk4qvdh3/w5/iMvQ+aX5lrK7CAE2OyghdpvCl9DOm3Qh/vTR1Hry6OXarXhpy2oFTvwvPNnU2kxtKjyAqBU7sb12b8JzLzgkHMx6brO++8v5Jln/8vOnbvZtGlrynOklBw8WMa69RsSKi+RsdesWQ/ApInjURSBkcJyIYTA6XRSUlLMvn37E44vpWTV6rVc95ObmTt3Nnf87hfc+vPfxj125Mhh/Onu36LrOj+48idU+ev5Z3gNVxeMBynTUmKEYsb9zLjt2ww8bmzUMpLsVCGgXhZiYMcug3jIzNrX+BFVCOEmjIMCWWHVOUkDaaVJdyqy7kIKBoPceuutTJ8+ndmzZ/Poo4lLx3/00UecccYZTJkyhdNPP533338/Zv/06dMZNWpUzE99ffoFzLoi9i2Lse1aCRC9GQowW8mHfLiXPN2tbL56YT9kBwS/uRf/G6XerPGSzdkEoGhB0EOIZlYc86lW4vr6ZTAOnQqdgUCQS+b/iEu/dzXvvvcRq9esS7uSblFRIV5P6n4yefl5+P1+yisq6d+/X9JjVVVhzjFHoqpKUuUlQiST6eOPP+PAgTJef/U5pk+fgs1mQ1EUSkqK+X//71o++uA1VFXlo4WL2LVrj9kJO1TGndVfRxtLQpOU+zgfvJ5TB3Ps/13KsG9PMQ8RNHxq4iMlhKQdAzNeJowTH6lLEiTH0lzSoSOuUxaZkXULzF133cWqVat4/PHH2bNnDzfffDP9+vXj5JNjO6euW7eOa665hptuuok5c+bw6aef8pOf/IQXXniB0aNHs3//fmpra3nvvfdwuRrNdp40Lm5dFimxb06c+SCkRPgqUQ9sQu89sgMFaz/Cw2ZiK9/WrnMolbtR27lOS6JLmwAI+1H3rUdviPnp7tzx+z+x8ONFACmVhaYMHTqY4uIenHHGqfzlrw8mTYn2+fwU9jgMwzBwOJLHJei6wYaNmwkEAuh6+q5CwzB47LGn+elPruLVl59JeNzKlaux2VQ0zVzrxnA1f6pegVuoOIVK0NCZ6Czhlisv47CxA+g/dxRSM1BdduxeZ4vxmnewiOo/wozB8BFbmDGMi7AMYiOclhVFCNBk42uW7nmHMlKCjhVk3dnIqgLj8/l4/vnneeihhxg3bhzjxo1j48aNPPXUUy0UmNdee41Zs2Yxf/58AAYPHswHH3zAm2++yejRo9m8eTM9e/Zk4MCB2RSxUyP81SiB5OZgKRTU8m3dRoHR+4wmPGgq9h1fIRFRX7wkO8+FAnCseC0LI7UeiUCprzgkuqTU1tbx7yefy6geS4Tf32FmFl06/yIeefRJ6urqWigciqJgGAabNm2OzhEKJXZBCiGYOWMqS5Yuy1gegKrqarZt38Gow0YkPMbhsMdVjPxSxy/Nd31J8ADiqEE88+VXbHj7FfK8bs781hyOO2ZGtBhfhOYupKa/xy+WJgjgJo/0srEMKQjHBKN2H4tua2mqJCbCRgiVELoVyNtpyKoCs26daSqeMmVKdNu0adN48EHzaarpF/Wss86Km/5YW2vW9Ni0aRNDh1rBj3HpTtcbIQhOOg29eCD2LYtRa/ZnfXlqTa6r5CZvBNedWPbVcoLBYKvO7dO7FwC9evXk+f88xvz5P2Lf/gPRTtRN3VCJLClNa8m43S4uu/Ri+vfv12oFBmihYDRn9OiRKbPlCgryOfvi6xCYX19FETz61KtMmzSal568m9KSoiZriD+GlODCRx2xVhuVMHlpxsGYlgQbTZUg3QqFJIAHF76E+yNZ9S581FsKTKchq5/cgwcP0qNHjxiTbmlpKcFgkKqqKoqLGyPshw8fHnPuxo0b+fzzz7nwwgsB2Lx5M36/n0suuYStW7cyZswYbr311oyVmvYwjUbGzPrYngIMVz4iUJvYJSENjJ5D2tXk227rSzKhPngy+uDJZqxIKID37Xs6aPL2RwDOde9j9B6GLEoer5G1OTv6PWygtZV2hRAsXvJlNKto4oSxLPzoNW7/zV289fb71NfXk59XRGVVVdJxbDaVv/3lj3yzai1btm5j06YtbNmyrVUyAXg8boYPG5zwdQyFQtx8y69TjlNTE1tsMWKgWr5qA+dffivvv/T3lEG/QoANrcFK2Xhs5MabzlstBCgYMcdKbGjYUNE6NMojW1bWtswtAT8ewsKLioadUOJrr2hwt6Upea6+gx1Fe64v3TGzqsD4/f4W/ujI38nMvBUVFVx77bVMnTqV4447DoAtW7ZQXV3Nz372M/Ly8njooYe47LLLeP3118nLSz9oraQkvxUryd3Y4Ylz0Za+Gn+nUBB5RRSNmYxI8VSYDdrztUuG1DUCQml1anNzOsP1QwCehQ+hjJoFdZVIIVBK+qEOGotSOqjd3s+Ofg+PnXs4Npst7aDdCFJKamurKS015a2qqub8Cy5j5Tdro/uDwdTZauGwxq9/cyf79x+MuptSWVCSMXnSOHr3Lkq4/z//eZndu/cmHUNVFTP1OY5bTdcNPv/iG5YsW82s6ePTkqmkOC/6eZGGjlaRWRE91WajtCj2cyF1F1rlLjrSvJvL76UAcOZh85ZQ2FDDSavxIZPcpyLnlZTkZ5Qmn6vraEeRy/VlVYFxOp0tFJXI300DcZtSVlbG9773PaSU/O1vf4tebB555BHC4TBer1nx8J577mHOnDl8+OGHnH766WnLVF5em3XzvRDmm9YeY9NnMs7+27Dt/iYmjRoE0u4mMONC6iraNxOrXdeXJs5+Y1F3r+oUykc20dcvjj75yV3r0Fd8gEQhNHoO2mFHZ+1xJlfvoRAOzj7rNP774isZBcwC3POnf3DErMOZMWMqV19zM6tWr2+VRafsoJltFlEYWhOPE2HatCkcPFiT8Ib1yL+eSzlGqtdBCMGrb32cUoGRgIFCdUUdkdu/QCe9XuuNYwQ0G9VlLdtv2MjHm2FKdlfFRx7hoBuCjW4jV0N0S6JvoPn6q1SX16U1R2e4jrYn7bm+yNipyOpjX+/evamsrIx5+jp48CAul4uCgpZfs/379/Od73yHUCjEE088EeNicjgcUeUFTOVowIAB7N+/PyOZmleezNZPu42NQmDqWfhnXoTecziGuxCjoDehMfPwzbsaI69nu62pQ9aX5k/wsGMyep+7CqLZ/+bvBs51H+JY/Ey3eA9/c/utjB6VeYE5TdO48ofXs3fvfl5++Y2MMpiakqoZp01VUVU1rafo++5/iONPPJsdO3bFXeuO7TtbJWNTpJR8tjR5lWLzQAhKN1KK6PyGVKLvdep5QEqFoHTFXUtYOghJR9rjtZUOmiYuurTHrF2VIbO/UTKhoq9/5/8OdtRPe64vHbKqwIwZMwabzcby5cuj25YtW8aECRNamHF9Ph9XXHEFiqLw5JNP0rt37+g+KSXHH388L774Yszx27dvZ9iwYdkUuXMiBHqfwwjM+g6+E36Kf+6PCI+cDY5unELeDJnfM9cidDi2AxsRlbtyLUZSpJS88N9XOPKoExkz7nCOOOpEnns+tlptYWEBvXpnXmzRMAz27tvPv598rtXKSzpcccV8zj3n21x7zZXMmDE1pdFrzZp1HDP3W9x51185cCDWXVNYmIn9IzHfrN1MKBQ/iyiqYOAgRPNK3GZGUbILfmSfgUodhSS+7At8FKB1UFBvR83TFClBk2qzwGWJm2oguQFUb2jcaNF5yKoC43a7OfPMM/n1r3/NypUree+993j00UejqdIHDx4kEAgA8H//93/s2LGDO++8M7rv4MGD1NbWIoRg7ty53HfffSxZsoSNGzdy00030adPH+bMmZNNkS06MdLe8W0TJOSsYJUA3Iufzsnc6RAIBJk4eTbXXncTW7ftoKqqmm3bdvDTny7gsNHT2bx5a/TYjz5a1Ko5FEVhyZLWZwylw4Jbrucv9/6BBbdczwv/eYw/3PErSktLEh4vpSQQCPLXvz3IjJnzeO31t6P7jj/h2KzIVF/vZ/W6LS3nxryphnA21H9p/GwKDLxUmYGncT6yEcVFw06dLKSWHhgplQZBkPZ9UJISdKm0qGfTEQhBi/XZCKGK1N5bFZ3c2o0smpP1yMEFCxYwbtw4Lr30Um6//XauvfZaTjzxRABmz57NG2+8AcDbb79NIBDgvPPOY/bs2dGfO+64A4Abb7yRk046iRtuuIHzzjsPTdP45z//iapapZwPFcJDpuXkcpGrvjASEGE/6sGtKY/NBcfOO42ysvK4++rq6pl9zClcetlV7N69l9ZmIxmGwaLPlrRFzKS43a4Ya7DD4eDSSy+id+/UFj8pJWFN40dX/YzVq9cBcOklF0bTvNuKFsfqJDBv+LYWNV508qlIWoROAj6ZRz1FDU0I01PMNRy0Z09JiaCOHoCK8PRov4kS0PxVsJNe2r8Q4EySam3R8QjZ2itNF6GsrH0CjEpL89tl7M5Ap1lfyI/33XtBD3eYTUQCRmE/1Oo9SKG0aA/QEfPrhf0JzLmiTeNk+z3cvXsP02fOS+vYXj1LOXCwrO2TthMPPvBnzjjj1Jht02cemzKbKIIQglNOOYFHHvobAM899yI//dmtbZLJ43axfeXL5HkTWz/C0h61DtoItajY2xwpoZoSWvOc6qQet8j+zbqpTGagZh515ftwSn+HpRvXycKYrtJ5VGAT6bksdSmoJT33aKe5jrYT7bm+yNipaP9cXAuL1uJw4zvmSlA7zlcuALV6D4Ziw8jviRRKh9pjBGCr3h2THdEZ+M1v70772M6svCiKwpNP/afF9mFDh6Cq6V0OpZS88cY7LF9uBt5ecMHZ/PY3bVNgpk4ajSKSz28jjJ0QDpG4VklzHGlaF5oTxENYZtfaLSWEcND0tmMGUnfMN8wMehZoLVoCpD9/x14NLFJhKTAWnRqZX0r9qbeie4o7VpEwNNSa/Wi9stOyIVPZ1f0bsjJvttixs3MHF6eLYRhs276jxfb5l1yQcdr35VdcGw02vuL78/nzn+5otVyfLl7OUadcQVl5VcJjRJM4jXStFUqrG1gIZDsE2QbxttjmINDu1hcpzdfMTx7NnUi5chk3R0HDTS0FlFNAOR5qUNNsD3GoYikwFp0fIQgcdSko9g671EQucfb96wn3HpMquzLm/+b7JBAeMInQgMlpzS0B+7Yv05S0Y5gwvns0ohRCUFJS3GL7KaecwIknHJtRgbK9e/fx/vsLo3+vXbu+TbKt27idH93wxzaN0RzZhku8ILNihKkIY48bRNwRniMhwJBm48vmpGtVkbL9bEV2AuRTiYMAijBQhIGdIPmiyoq7SYLVBMOiSyDdBfjm/ADPhw907LyA/cB6fEdehmvJMyh6sFkZdpDCjt6jL0p9JTJYjxACw1tEeMh0tCEzIRI0aujYdy1PecEWgOKvbpf1tJZf/uJG/v1k6qJtXYGTTpzHA/94hPLyCnr37sXEieNwOZ386Z47+NdjT/LQw09QW5u6WJnNZuPr5d9w4onzkFLy5FPPt1m2199ZxLYdexgyKDstJ0K07HadLgrZi/8y5P9v77zjq6jSBvycuSUVEkggdAGRHkIHBVZQFBVQUFgbKlZUbGtb0U9dRVcXO6u79oquiHUXXBHr2kCkBEHpUqUkkJ7cOuf74+aGlJtb55aE8/x+Ue7MmXPec+fOzDvveQtUkmFYf+Hgue4k4apMHiXIeHVLw00qZTVj1B4PIEVU4JIWVQ3bB0qBUTQZZIs2VJx8A2mfz4+ZU68nCkTHVFFI1cQ7PK9hpQcx79mAsFhxduwHaUFGUmgmXK2PwXJ4Z+C2urFvv5HSokU6HTq04/ff410YM3LmPTIfIQSaJuosG5nNZqZMmcSlM2cw/+/PBuxHSonF4nmolJWVU1VVZYh83/+4jq5dOiClpKLCRnp66OkEPP4mSUjC82MRuDGJyO0NXufOCjJoTHHQIUwpQ0MIMElnvWrSwStpUnpywRiNFc/vxl8RzyQq464AJiJqCUnRtEhrRcWpt6DHOEeMqfh3zz+EgIwcXP1OwtlzdPDKSzWO/hOCaxjNONYwCcYqkeh4gy6llA18XlwuF++++2FQyguA2+3m229/4Kef1hjqw6FXn/vXF37M+Vf9X0jHepPe2UmiivBr1BjlF+LJu5JcT2moi5PUmEXpmKlb6kZDD/rcCQEWXFgxtpSLv1B477gNw+gVoBQYRVMkOZ3KCbdgG3w2elLwhT0jQZSGVjCvMWRm+6AeDcJtB1di3bTKy6Nbg6sp8uPK1Zw19UKefuZFw/p8feHHDBh9AVff/DBjRw0OqTCmAwulZGGrl/QuVHRMhigVLgk2/F+jDlKQiKgrMVI2VMzCSVqZKipJxjhlPnxHa4VSYBRNE82Eq1MulafejCu7W1SdewWglRcEXaBD2Csw7duIad9GhK3hjU4mNYzE8DWmeefqECWNLpFUdW6uuN1udF1n/t+fM6zPb35Yy5btnhpLEtCD/N15yg2kGJRJWuAgOWKlwu4j6qc+Eo1yMtGrl2eipcgI0dCvR4aoqHktJcmiypAIISuVCGTAUhAuPxasoxl1R1I0bYTANnIGro65dZQYo++BmtOGae8v/hu57CSt+ZDUTx8nZeVCUlYuJPXTx0j+5iWwHan+qye3CEq+pA1L0UoSx+fkhBOGxVuEo46X3vgIqyWw86b3AZguSmlBEcKAt3obaegEXyzSp1xBPmJ0zJTRqjrJnDHWH1/4WopxhenXYkR0UHJ1H4GWsewNamApQCkwiuaApmEfcjYVp/0Ze6+xODvl4uw+siaE2SiSV7+HVrjD907dTcoPCzDvzq+TvVcA5qI9pH36BKa9GzwbTUFGEwiwbF8ekcxG8uDcu+MtwlHHjl37WJ2/EZfLt0LifdDXzhGj4SadEiL99Us0bKRG5N8jgnSS1XBjwlX93+gVTBQ+7grh1n6y1POnCR0dgfT7/XpCt4WKQGoEpcAomg/WZJy9TsQ++Gwc/SdQNfx8w4dI+vXzuhsqi7Cu+5jUpY9jKtrjx1guSV71HtqhnQh7eVBGfiEl5v2Jk9DuuOOO5R/PPOa3Tf/+vWMkzdHD9EvnUFFZVePcWxtfDz8hwCTcBjxgPZl8w7WGSAmWAMssutNGGkW0FIdpIYrJEIexYI9aYjshGipVkWXXDf/YQMrLkRHiU1y2KaAUGEWzRW/XE/txYwzrTyA9SkpFEdgqSP76BdI+m491x0o0p39zsjcHRdKGZWgVxcEPqieWg9/UKRPZ+MuPnHPOmaSmpiCEwGQyMWTIQH5c8TnLln5oWHFDhYfCQ8UcOlwc0kPdozyEV0agNhruqCkTJhy4S37HVC9hnglXTTRVNKg/nXAVBE9UUvjLSF7H5UDzDFxB/OhFfTOKZo2rz0k4dDfWbd9HkMKqLlrBNpLXLQm5LwGYivcG3V4KgbtVxxBHiT4ZGS15ev68Rvf379eHtfk/x1Ci5o3L5SanbVZIWYI9GJDHpfohG64S03jeFEmKN3lbvT3RLCsgJej13ttdWMOeYwqVOH2URwgODReWRkOkvYpNVdj9N3+UBUbR7HH0O8WznKSZDPGJCUd5CQchJc7uI2IwkrFcMvO8eIvQrNClZNtvwSu+NcdF9H6qk0pJ0FWafSEEOBuJnjHjxGRgpt9IkGhhR1xpgoiikSpo6fHKqWeJ8f7bTrKywPhBKTCKowJ3u55UTPo/bIPODluJkUKgo8VsRdrV5ljcOT1jNJpxTJ50erxFaHaE85uzh+0MK0mjtMaHJhKLSGNRSPHKfeJ7LhIHSWGrU5HNRaOUrAYVsiUCG2nYIkhGeDSgVDvFUYW7cy52TZC86r2QjpN4LCKxqlwrAb1lTnTt6VEiLTWVVq0yKSoqjrcozYbePY8Jql3tqsvhlhEw4cIiIs9x4o2g8bkvTu/OHsvGEZkEOmmUYBZH/G6MvuQEOlaqSMKGQEevtvh4EvhpgEYFmYCOkHrNNkVg1LekOOpwd+ofbxGCw9R03y9efvHv8Rah2ZCWmlxTcykQLsyUywwcEeQNiSTyqDaeLnw/YpxY/TrPRsuBt25xS0k6xTVOxLVD0UOhvk9NbaTbRTpFJFOJJvSaZHrJVJJOUb2IKA2JGfVYDh71TSmOSrTjQkvKFms7iABcbXvEeFTjGDlyGK0yVfE5I/jbfdcH3baCzIiztgabuyVwP/hJqCew+cm/Eg3Do5Qey5QXCw5MIrIoK0+0l63R/e7yg4h69Za8ipKGXuPIrAgPpcAojkosI8+M0WJQeEhAb9053mJExPvvLYi3CM2C/r2743I3VARkLTOFlKBLY576RlVcFgJS/NQMcpCCltqqjhNr7T8jkRLKaUntR57FIEuTtZF8OxoupNPW6MuPJwzbYUjW5KMVpcAojko0awp6Sma8xfCL5q2A3UTp3fs4Bg/Oi7cYTZ7zr7ibXbs9JSV03WMdcbvdDcKqPUsZkSsxDgMz4fp/QAtMqa0oJYsq0rGRSiUtKCHLsPG9eCpiJ9XZVt8yEg6exHjS5xyDiU7yVJoOvlinoi5KgVEctdhHnJfQVpiU714DZ+Pm6abAa6/8M94iNHn2HSik3wnnMWHaDdx6z3xuvecp9u5rWB1dN8hyIjFhq849YoSFIomqAC00HKRgJw0nyXgWV4xbQ3JL4bMito7ZkPnVV0KSKCeDAr/Wp9oEWaoTC3bSKKYlhbTgEMlURMl6IwE9aMniiVJgFEctMiMHV4e+CXmZCgC3g5TvXo2zJJGRnd2a7Gzj36iPJswmz216df5GhBDcfO2FdOnUrkE7Vz0LQyTYSaVCtohYKRICrAEVmPrICNP71+pJQhlZ+LJM2Uk23NcmnSJShGe+wXQtJUHUOZKkUkqaKMWME01ITEIniUpaUFRj6THh8JRloJAWHK4uNhn892jCSRolZFBIpjhESw6RREVIfcSaphvmoFAYgH3QVEwHtyNciWfpEICp9ABJKxdhHzY93uKEzdgTR/Hue/+OtxhNlh35H2G1WklLTUbTfL9zSupH2ESORNS84UcSXuxx5tWDDp02snyBx+/Fd2c6ZmwylWRRGdH8pAQXFqxUYhZHIpqCOc5BcsDvJYkqnzl5hPB0kkYpbjQs1aHgQoCUblJEBUmygjJaBwypt2AnldI6YwgkyVRiwUE5mcQ+lCEwygKjOLoxmbENPjveUvjFvO8XRGnDJYOmwgknNL1swolCn55dyWqdSYv01MaVF0l12LRxDxgNJ2mUonkfZhF2HUpdJiOS3EkJdmlp4PdSG4EbFyZsMsVvKHRQ4yFIptLvkpR3n/f/Lqx1oqIa69nfEpwQoAkdSz3F6YgSAi0owr8VRW+gvHj/LQTV9cHDr/kUTZQCozjq0dsdhzRFFnoaTQSQ9tU/SP33fZjXfxa9JBlRYtLECVitifv9JjIuV+CHuRDgNtiYnhqk/0awhJIAMtJkkVKCnSSq8B3GL3BX+5IcJl2UkSyq0NDDvqy8Fa4DVZf2WEbASRLlMoMKP9ahI7LqNfljGsNf1JZHwZGY/SiQ1up9jY1xZBkw8e47SoFRKICqodMT8PKsiwYkb/+OtP/cT9KKt8HlO3wz0WjRIp2/3PvneIvRJNmyfTev/WtJnZDp+ngeikYqiDomXIYt43gUrMC+NFq1YpEaZm4UtxRUyVRKyMLWiHIg0GlBMWacPq0N4SoxjRVk9EUlLatz9RjzBQdKwCclpFBR/d2WVuetOTLR+tXAfaGJ2GUhDwWlwCgUgJ7TA3vuGZ6cFPEWJgACsBzYRNrHD4M9MU279bl05oXM+fNN8RajSXLTXY+j63qjSownIZxxt/JAloRQ8FoHAiXX03CTTlEDxSIUNCR2UvD3XaRQ4jd8OrK6TyLgEpK/7MO++9RwSy0io6s3aZ5FOD2RTKKMFhQd8W8KUqZEvC8qBUahqMbVbRiVJ1+Ps/tIdC3x/dsFktRlT8RbjKA5//xp8RahSWKzORhy0iWUV1QhpcTpdKHrOm5dxyZTsfvJaJsIeIpK+n9IekKCI1OchKCW9abhq4gZGxYDLUu1cWOmitSAfVeFfK4Edj/9Bpv0r75vjMfaVQJIXFgDWnCc0kIiqguJf5dWKGKITGuNo/8EHP0nYDq4DeuGpWhlBQnof+9B011Yfv4vztzErwDdpk02Xbp0ZNeuvfEWpcmxactOOvadyPQpJ9OlUztKSiu4/c47SU5JbOUFqMkp0zieHCdGKBYWHKRzGFO1dcGFFRspuLGQRllUlBddeiKadEw4pR1zPSVJ4lHfnFhwhqFsOkjGJF0kCVutKCNv356Ac036tio1Fl3lyV3jxiyduLDgkmafy4be4+0yMX9niadSKRQJgrvtsVSNuxYS3Bpj/W1lvEUImnvuVr4w4eJ0uXjr3aU8/ORr2GVS1JQXI30d/BV09KIZkBHXiydqxl3jF2LGQToltOBQ1OorVdREEgkqyKSKVPRaX6FEUCHTqCQzzFEEVaRTJjNwkoRLmnBhoYp0SmlVHeLs2xITyLJixlEtd0aNI3j9cg6VMj3i+lrRQikwCkUA9BZtDF//1S2phvUpkFDVNIrCTTzjVHr3Oi7eYjR5rrvuqqj1HbRPRIAfsDfiJpjxjAys8xkKLKLjwaED7jqVvwUO0iilDSVkY87qRhnZYVle6iJwY6WSlpTTmgoyq0PnNSQmSmmNC0uDUO3AvXoaSjTKyayuZJ6MkyRspFFKVkSVzaONUmAUigA4O+UavoQknJU4uwwxTIkxHdhiUE/R59Ol70flbfho4pl/vBi1vr3FFQPhXcrw1zbw8pHn4Vn74RsNIu27/vHeeZfTys9RokG9qmghMVFBJiVkUyKzKCErYHFPITwJ+Gptqc5N04JKWmInNejkg/EisaVTKBIAzVlluAVGAJZdqwxRjCSQtOVbA3qKDRaLhcX/fjveYjRp3nprEeXlxuZq8RLKkk4VyT4tNroUlJEZMAOsFyNrL/kiougiWVep80RVeaweMuHcSEW10qFhJ6XR79NbvTwYC1kioxQYhSIAWuHOqPQrMCY0UQCiqghRWWJAb7Fh8OCBXHiBMeUR0tJSeWDuXYb01VSoqrKxcWN0rG6hZcI1U0o2ZTIDm0zGJpMply0pJQs9YI2fI7ixUEFGwr3xS+kJU/csCWVRIltRQhYVQaTnjzd2UmssW7UVmRrfliAS6SU6ifVrUSgSDXsFpsO7ota9kbcP875fDewt+sz7232MGzsmoj5OOGEYWzat4rJLZ3D21MkGSdY0aKy0QKSEolS7q3/BbqzYaIGNFtVFJUP/ZbuwUkprKhIg4sX7kHeQhJ1UNNyYcWJCp+k89D3OuVWko2OqVmQEDpIoo1XCOuaGglJgFIrGkJKU5W8C8bllhWqdEWUHoyJHtNA0jTcXPM+kiRP8ths2bBA33nA1A/NySU5OJjU1hROOH84P3y/h/XffQAiPr8HTf5/H1bMui5H08aVFi3T69u0dlb5DqQRt/ANE4CQ17tUyhACnNGEjjTRKaMFh0kUp6aKEjCZQpfkIAgcplNGakmrH4ipaovtZ+tJwk0I5LSkkgwJacDhhSwkk2gKeQpEwmPZtwlSyL+zjvfkfIiHYPgRgKtkf4WixRwjB8889yYsvvcFjjz9NSUlpzb5evY7jmacfoV/1g/qOWpl8hYDs7BYUFtaNvvr+hxUxkTveXHH5xSQnR8t/QQ+hZTTegQU6hL1AE0ll6dq4sVRnrJX1IpskybKSJCpxklRdkLF52AJMOEmnGKiV9E56FBoLdirIIJEsUEqBUSh8ISVJa96PqAvvZR6OIiPBk39GaEj3kZpH/vrRSvYZd/eOIUIIrrziYi65+DxWrlxNeUUlx3bvSo8e3UPqZ/mKn1i3bkOUpEwcJk48lZv/dG3U+teDVB2kDK7GUTh4fGGCV6Rq442OitRx14yj0ezAngKOkIQdq7RTRSqOICKuEhtJWiNVqQHM0kkylUFFlsUKw9VGu93OnXfeydChQxk9ejQvv/xyo21/+eUXpk+fTl5eHueccw7r16+vs3/x4sWMHz+evLw8Zs+ezeHDh40WV6HwiWXLt2ju4Au0+cPXfTSQMVYAVcPOpWLCLdjzJiOTfVfWbThO4pl5g8VqtTJq1EgmnHpSyMoLwOdffB2zsNV4kZ6exgvPPYXZHL13TzfWoMOoQ1luCgUtTOXFS6TKC4AphGisFCox+an43BSw4PBb+ToRq1IbrsDMmzeP9evX89prr3Hvvffy9NNP88knnzRoV1lZyVVXXcXQoUN5//33GTRoELNmzaKy0lOcbt26ddx1111cd911LFy4kNLSUubMmWO0uIqjCd2N6cAWzDvX4N79K+iNRFtIiXXz/2IrW30RAL1tdzBbcR0zGGfXIYHbp7ZC2KITWtsUWL78J79Vm5sDJ40bEwMlLXi1JFpRQ9FZmjpC/Wyztbd7CfZr9rYLt4p2omDCGVBx1YSMWLk0EkPV+MrKShYtWsQLL7xAv3796NevH1u2bOHNN9/ktNNOq9P2448/Jikpidtvvx0hBHfddRf/+9//+OSTTzj77LNZsGABp59+OlOmTAE8itG4cePYvXs3nTt3NlJsxVGAeddaktZ/gnB53pIcQIrJiiP3dFxdBtZpqx3ehdADl5iPBH/3Rgm4OvQFUesm7rT5PUYAorKItGVP4Gp9DM7+p0B2dJw8E5HS0jLWrVsfuGET56Ybr4nBKMHl4g2nunKwuLBixhaVvmtTX0kJd/lJCE89Iv2V56HTMVB8GFFRTmX3Y5CDR0J6S+OEjhpNryq1oQrMxo0bcblcDBo0qGbbkCFDePbZZ9F1vU7YX35+PkOGDKl5mxBCMHjwYNauXcvZZ59Nfn4+V155ZU379u3b06FDB/Lz85UCowgJ64bPsG77rsF24XaQvPYjnId3Yx94JARXq4j+UmVjfjESQGg4e4yus92686egfWlMh3di+t+LOMX5kNkzYlmbAp99/hVOZ3SVznjzxz9OoU+fXlEfR6uuJRQIIUBIGRUlxk4qSdJWM46ReK0M/pZKwkEIAV98CjbPS5LUNMp0Hfg7ZGTC2JMRE85AtGkb3gBRxomVZFHZ6H4pPZaxRMrVY6gCU1BQQKtWrbBaj8SXZ2dnY7fbKS4upnXr1nXa9ujRo87xWVlZbNniSc508OBB2rZt22D//v2hRVpEw9pavzR5c6M5zU8r+A3Ltu98Pvy9ieQsu1bjzu6Cu3OeZ3sMEsLVl6XmrcZkxT5sGrJVe0zFv6OV7Ec67QiXg2Dxzsv19b8wDzkbV6dcY4ROIOr/Rg8fLo6bLLFgxow/8ui8+2MyVrCXvaxuHO5twv99xoSNVFJo/IEaLg5hIQlj/NtqI916jfICgF5rqaWkGP79PvK//0HccQ9iQJ7h40eKjhkX1VWpfewXwqNYCkTN59r/N5Jg+zRUgamqqqqjvAA1nx0OR1Btve1sNpvf/cGSldUipPaJ0nci0BzmZ/t6qV+Tp/c6Sf71M5IHnoAQGlU7Yl/d2SuHZex5JGe0xfH5P5AlBRH3l7TqA1p2Ow4to03EMiYiWVkt0HWdxUsa+tk1F6ZPm8yrLz8Rs/F0Xcd9uChgO4Hn+xcisjfyxu8zLXAWbo+ob18kaXq4AU6NIqXEGWgJU0pwONDnPUCbhQvRMnw75uvFxVQtWYJj3ToQAuugQaScfjpay+gvQ0k9FVfJPvARwKClZNAytXUDH6x4PicMVWCSkpIaKBjez8nJyUG19bZrbH9KSmiVMQ8dKjM8KZIQnpMWjb4TgeYyP1FZQmrxgeAaV5VTtHUz0mQh1RHZW1+4+V8kgqp132I6vBvcToPqJEnKl/8Xx5CpBvSWONT+jX667CtWrFgVb5GixqBBeQ3y3UQTgU6wj8pDh8oJ1wYTzH3G6GT3EhCNOe9HgttNxdONR9zWwWaj4NHHEW1zQNNg1Bi0Tl088q1Zhf7IX8HprFnrcqxYQfkrryDO/iNktkK0aQP9chFRysQMGViwY8EOSHRMOEhBrzJD1ZEggWg+J7x9B8JQBSYnJ4eioiJcLldNmF9BQQHJycm0rKc95uTkUFhYWGdbYWFhzbJRY/vbtAntTTJQtdRIiGbfiUBTn5+wV4R2gMOG0COP4qld4yiUm69AYir4DSNdIwVg3rMO076NoJmR1mT0Vh1xHnsCekY7g0aJH1LCW2+9i8lkwu2OwoMpAfjj9KkxvQ4lwvOg9/MjPOIPEfkvNeB9xkANxujVDiklsriE0rv+iqyVhDEg33x9xDK86G3cOe3gsqvhkQfB7WpYvMhmQ771uucjQHYbxFXXIgYNNWgmtRE4SMZBcuCmxPc5YagK16dPH8xmM2vXrq3ZtmrVKnJzcxvU7cjLy2PNmjU1YY9SSlavXk1eXl7N/lWrjrxV7du3j3379tXsVygCIZNbhuQxr6dmgr3KkLFrJ7ELDeNdIgWguR1ozkq0isNY9vxM6tfPkfTDm56bZRNn587dzVZ5GTF8CGlpsU4cJnBWFwFstIUAO6FZw8MhWonyIkFKqHCnUPH+x5RcdwfFV96MfrAw8IH+OLAfHr6vofLSGIcKkQ/dj8xfE9m4TRxDFZiUlBSmTJnCX/7yF9atW8dnn33Gyy+/zMUXXwx4rDE2m8ez/LTTTqO0tJQHH3yQrVu38uCDD1JVVcXpp58OwPnnn89HH33EokWL2LhxI7fffjtjx45VEUiKoJHJ6bjb9gioREgE7tZdkOlZmAuMq/ArCP2NL9p+07X7NxdsJfXzv4OraSfgys7Oilphw3gz9/474zKujXTA97NUSnBLEw6iX3TRbsAYkVgHpK7XyS0kJdgOV2K//Crsb72LfiB8P7WGg4VgyvC++L/+UrPPfeQPw6/6OXPm0K9fPy655BLuu+8+rr/+ek499VQARo8ezccffwxAeno6zz33HKtWraoJm37++edJTfX8YAcNGsT999/PM888w/nnn09GRgYPPfSQ0eIqmjmOvqeAydKoEiMBTGbsuR7FWasqTag8B9FEAMJWSurnT0MTtmBMm3YWup44ybWMYkBuHwYM6BeXsXXMlJNZYw+snfjNiYUyWsVEDidJ6FJEpIQEG9FSXxGQbjfoOmX3/I3Sux/GvnItrh27qbrmBihPgKR1UsKunbBnV7wliRtCNnP1rbAwOg5G3kJyzfHba27z00r2k7RuCaaiPXW2S8Dd5lgc/U5Fb+nxvUr+cSHm/RvjIGV8cXYagH1w03H0rf0btdkcnDFpOps2bW1WS0lL//s2eXkDg7oG3W433363nJ07d9MqM5OTThpj0NKTxIwDE25PaD5JQddKCkSw9xkLNtJE9BQGqUv0khL0g4VYeh1J7eH8dTNVbyzCtXmbx9lW18FkSjxl/4Zb0MaMjfmw0XxOePsOhCrmqGj26BntqBpzOaK8EK2iCKE7aZnTjmKHBT257kVi7znmqFRgzHvWYR8wEczWwI0TjKQkK+8sfJXrb7idL7/8pvqNWzRp03qrVpmcdNLo6igf/3z51Tfccuvd7Nt3JEdWamoKf7rpWmZfe0WEpQcELpKIp6eUxwpT5rEYRmWNVWJf/Cm2jz5Ba5uN1ioDvaikrl+L18KXaMoLwOsvIQcORrRoCtl+jUUpMIqjBpmejTs9GyHAlN0CWVjW0MvWmhZ2GHRTRgBJ+f/BPuSceIsSFlmtW/HWghfYunU73323AqfLxYN/fRSbrWn698y+5vKgFI/vv1/BRRfPQtfr/pArK6t48K+P4XK5uenGq6MlZowQ2EklxU+WWH/4Kw0g3W70wsPYl30NgH6wMHKH3FhTUoJc8CpcfX2zL2Zan+bp+aZQhIll+w/xFiFumPeuRzu8O95iRESPHt255JLzueLyi5g8+bTAByQoV111SVDtHnjw0WrfFN/Wpiee/AfFxdHPLB1tJFrYyxRCNHTG9eL+fT+ldz+MrDQm+jAuSAlfLEPeeDVy89FlPVYKjEJRC8uutUed9cWLAFK/fZnkFW9DCKULEpX77p2DyZR4YbiBsFjMDbKQ+2LHjl2sWfuzXwdmp9PJko8/NVK8uKCjhbx85HU6rpSpuCsdPq0T7t/3I4PIOtwk2Pc78t45yJ074i1JzFAKjEJRmyiGFAfzAhk45Dv6mA5sInnV+zEYKbq0apXJLTfPjrcYIZOUFFwCsUOHAhcdNWkahYWHIhUp7riwhhyN5NFXJKKygrL9NtxFJQ2sMPYvvvE46BrFkOGIP15gXH+h4nIh/xabmlmJgFJgFIo6RMf+IgFpSQmogAQaPRbWIQGYD2xCKw2yDEMCc+MNTc//Q8rgQsLbtcsJ2MbldtOhQ/tIRUoABFWke5aDQlBinD+txfXcc5gWvkLJNbdR9e+lyFp+Ue4du+sWXYyEXn3g9rtg2nmQEyDLdTTzFhUUoM97IHr9JxBKgVEoaiGtxmcX9d5vq4adh57R3qPMhNmP1BrPaWMkEjD//ksMRooumqaRlhb9hGtGYrFYgmrXsWN7Ro0a4TeJX2pqChPPOMUo0eKKk2QqZEv0IB9bUtcxdemEc8VPuNZtAJcL2xvvUHTxbIpn/5niq29DFoeQ/t9Li5bQodORz21z4MprEXP/hqZpCCEQ08/330e08xatXIH+S4Diks0ApcAoFLVwte9reJ/Vxeex7lmLvf9ptbaFhiunJ3pKDEMlK4z1Ddi37wCfffYVX//vOyoqQqxTFQHtg7BUJBLHdu8WdNt77/kzVqulUSXmL/feUZMctDngJIkyWuOSgX2b9H0HsH/6FZgt4K6lMOg6+oEC9MJDoSsSQkCHjogn/4F4+U3ESwsQT7+AdurpdX1sRp8IQ4c3Hv7U7djQxg2HZ56M/hhxRikwCkUtHL1OjIqFQyAx71lHyg9vhHW8BPSM9pgqDsVsGclUdtCQvgoKCrnsiusZOnwcF11yNeedfzm5eaN48KHHcLmin2Fk6LBBUR/DSKZMPSPotrn9+/LB+wvIq5ext0OHdvx9/jwumnGu0eIlAIJKP/WypZRUvvkuJTfehe0/S8Hux6/Nux4VfLpexLjxHitLi5aIlhk+nYOFyYR26xzSr7gCWtXKWty+A+Lq62HMicGNFwkHD6A/cA9yzSpkM8xUDSoPjEJRl+R0XK06YamXtdcIhO5GIsJSQASglRcihUDEKEGbVhZ5nZeSklLOmnIBu3bvrRMtU1Vl45lnXmT3rr388x+PRTV/xbVXX87bbzcdp+QTjh8RUvuBebl8vGQRmzZvZdfO3WRmZjB4cF6TjMAKFh0zDmnBKpwN9tk/+QLbBx9XNwzywR3UNSXAakV+X+34e8IYRFJS463NZtIuvJDK8RORhw6BZkIKkJ8sgS+WBSdXpKxb6yn4OGQY3DIHEeTypD/kvt89c1i9kgKpo/fsgzhtIqJnbwMEDg1lgVEo6uHqNiwq/XoS5IVTn9rjAIzJQixT7AmpR7xW//Irb7Jz1x6fKf6llHz0749Z+VN0K+oed9yxpKQEF9mTCISbt6VXzx6ccso4hg0b3KyVFy+VtGxQ/1C6dareXxylESU47PBzPvIfTyFvno0sCGylFCYTok1bqCiHW66Hj96DkuIoyVgP75ezaiXygXsizk4tV65A/mk2fLIY9u9DP3AAvvsf8q7bkB/F/iVBKTAKRT3c7ftGaRkpdLxZge39JyCTW0RWWjeMsSPN3f7mm+/4zVNiNpt4++33IhojGLp1PSbqYxjFl199E28RmggadpKqI5M814V7525kUZQT93mvwcIC5EP3B6UUSF1HznsAKisieymwWuGOe+CsMDJm/7Ie+eKzYQ8tDx1CPv4wuF1151D9b7ngFeSGn8PuPxyUAqNQ1MdkRlqNKIRXl7Aij8xWnJ0G4M46BmfnAWFZcMJFALgbmuhD4cBB/8tQLpebvXv3RTRGMPTPNd45O1oc2G+M79HRgI0WdXX6GPhU1aDrsHsn/JwfuO26tXBgf+TRRy4XbPwFbcZMjzITKp9+jNy9M6yh5edL6zpD10fTkIs/CqvvcFEKjELhA3vvsYb3GZbvi9uFec/PpH72FNbN36BbjA/zbgwJoEW2FNGqVabf/SaTibZt20Q0RjCMPXF01McwAiFETL6P5oOgnEzcu3/3fMpp46kYHStMJo+PSQDk5o3GyKXrsHSJx6qZkRlWF/LzMP1vNvwM/nIU6bqnTQxRCoxC4QN354ExtHU0xDu2kDoC6Ukut+dn0MwxywMDRKzAnHfu2ZhMjd9m3G4306edFdEYwZDTRJQCKSXTzjkz3mI0GWRREc758yl/+CnK//kq7i3bsY4aHt1EcfUJokK10DTjln+rquDPf4LefcO7PnfuQH75GXLJvz0RSsFW2A5mOTnGdVhUFJJC4QuTGZnUAmEvi8vwvu4DAhkzeQTgTsuKuJ8rr7iYhe+8z6FDRQ0ceTVNY/SokYwePTLicQKRmhY7y1WkvLPoQ+695/Z4i5HwyNIS5F23wqFCdF3H8fn/cHz+v9gK4XYjevYK3G7AQFj4pnHj7vwNSksIa2F6fT5yfT41aY1bZ8HsmxADBvo9TOTmIX/Z0LgVRtOgf17o8kSAssAoFI3g7Bz6xRht64gE3Mn+k9kZJYM9b1LEfbRpk82/P/wXgwYNqLPdZNKYds6ZvPLKM34zyRpFbv++ZGdHrpDFgpdeegObzRZvMRIe+f4iOFQY/ay2jaFpnmWcYUEo4Mf18vwZ9VuXEg4fghNP8vQZTr9ei1DRYeRf/xK4kvVJp4LF3LglRtcRk6JvTa2NUmAUikZwdhkc8jExSTLnrIq6DBLQs4yJ3DnmmM7856N/8fmyj3js0QeY/9TfWLXyK5568mFSU2JjGTGZTNx6y/UxGStSHE4nuXmjufuev1FeXh5vcRIS6XbD55/6V140Dc69EJ74B4yfAEb/1iwWxJ//L6jcKkIIxK1zoJ2RdakE7Psd8eQ/4fRJYA5zQaU6Fl2+7d9CJFq1Qtx2l2ec2gpT9b/FZVch+vRr5OjoIGSkgeEJTmFhmeGRp0JAdnaLqPSdCKj5VaO7SVv8QEgKQY3vSgTyJcIYzpye2EcEqOcSR8L5jVZUVNCz9zC/Yd2JhMmk0bNnDz58/010XWfhOx+wenU+JpPGiX8YxZlnntGk8tvUJ5L7jCwtQV4+w38jkwn+MA7t2htrNunr1sKjD0FVZegC1+fxZ9A6d0G63ciNv0BxMXTujNalK+B7ftLhgB++RX79BWz8FZyOyGTo1BntiX8AoC/7BJ5/JqLuxItvIAI4B8uCg8hP/wurV2JCovfsA6eegejWPaKx68hR/d0FQvnAKBSNoZmQJivCHfxNxijrh79+om3lkYCj/+lRHiX2/PeTz5uM8gLgduts3LiFWdf8iRUrfsJms3ve5AV88OESHnzocd5+6yX69g3CB6O5kZziefMPdD7T0+t81AYMhNcXom/eBBvWQXkZdOgIb7zicY4N5vchhEdx6NwF/T8fwsIFdcoV6C1bwqzrMY1ouLQkrFbPss/IEzzRQB+951kKqhEwiDnVbtuhY93PkVJWFjC6SbRpi7jwEsSMS+L+oquWkCLFXoFWtBdRXhjTJGOK2CBTM2I+Zowd+Rvg6H48Mi0zzlIYz2+/7Yi3CCEjpeSrr76lqsqGlBJd13FX5+I4fPgw08+dSWlpfBzN44mwWmH4SP8PbbcbMcp3zSGtZy+0qdPRLroM7eQJiL88BBnV13ogRUBKxKQp6O+8Ba+/1LDWUmkpPPIg+ne+HYrl3t3IG66GV56HosPVExKevwtnwuCh/sf3ouuI8ROOfP7mq8gST2pa3bpNTQBlgQkTvewwST9+gGnfxprkYu6U1kirFVPJ/upWGs5uw3D0HQ8m9VU3RRxdh5Py85J4ixETvOq3s+/4uMoRLb788tt4i2AobrdOUVExi979kMsvuyje4sQccc55yFUraVBPADwP8qEjEMf2CK6vrt3gmZdgxffI9T97FIt1azzWEK9FxGsdOXkCcthIuPxCv33Kf8xHnlm3MKd0OpFz74Hi6krvNWtL1f9/42XEvQ8ie/eFf73h/6X4hDEwcMiRzyXF4b9EaxqMHIVISw/cNoFQFpgwEJUl2P89H9P+jXUyo2pVhzFXKy8CEOhYf1tB2pIHoeroe0tqDri7DolrPphYIgBXx9zY5tCIIb/8uineIkSFTz75PN4ixAXRtRvirvsgM9OzQdOOWCBG/QFx462h9WexIEafiHb1dWhz7kE89SxMPAvatPUsq+TmIf58N2LWbPji08DKgt2O/Zt6ZSGWf+c/ckrTkB+9jzZ1OuKF12HGTOjREyy1su62aIk4bwbihlvqFkHNaRf+tSsEDBoSca2kWKPMAqHicpC0chHYyhuY+kW9/9fenrbscSom3AZJqdGXUWEcQiCF5ils2MyRQsM+YGK8xYgKDocDe31TfzNASonN1vzmFSyiXy788xVYs8qT1j8pCYYMR+S0i7zvtjmIiy+Diy9rsE/uCi4dv235cug76Mhxa1b593PRdchfjdR1REYm4qxz4KxzkE4n/L4HENCxE8JHxJE4eYLHIuWPMWM92XJr+92ARxl75knkyhVw022GVK2OBc3zVStKiLJCUj+bj1a8N/RjgbSlj4BT5XdoarjaxzY00B+S6OWacbbvA5akKPUeX2KRayZeZGQEjtZozgiTCTF0OGLqdMQZZxqivAQkKbjoL/u39ZYtXc7AlhsfS2LCYkEc0w1xTFefygsAQ4Z5/nz5wWga9O6LuOYG6NmrYRuvQrVyOdLIhHtRpvle1UbjdpHywxsIR0VETpZJq6JfeVdhLI4BZ8R9GcmruOgZRuaRqNd/Rgxu/HHCbDbTs+ex8RYjKnz19Xds374j3mIcXQwbHly70lL0LUeWLsWxPf23FwI6H4MIo26S0DTELXPgzLMhuZaCZbF6wpz/7z6P783y7xtXoqSETxYjq/znmkoUlAITJOZ9v6LZSiNSXgRgPrgVUVlskFSKmGBNRibFx7nNe5uR5mQc/SdQNfoy3K06Gz6OANw5AW6uTZjy8nIsljCq9zYB3G43zz3/arzFOGqQa1fDwreCb//BoiMfxp3sP+GclIiJk8OWTVgsaDNmIl54A3H/w4j7HkK8+Aba5bMQScnBVc6222Hr5rBliCVKgQkS08FtyEhC1KoRgKnwt8gFUsQUd+sucRnX+4vTXDYsm78l5at/YirabegYEtBNVvSWbQ3tN1w2b9nG3ff8lannzODCGVfyxoKFVFRURNTnFVfdyIYNvxokYeKxZMnSeItwVCA//xT54L2wbUvwB/3yS80/RcsMxA23VKf/r2VlqeV8zLhTIpZTJCcj+vRD9O2PSK3ldxlkjhnpiDDBXoxQTrzBInXjnA+amKe3ApzdR2LZ90vghlFEc1QgI1zCbBSRGO8yzz77MvfNnYfJZMLtdiOE4Isvv+Hxx59h0Tuv0qNH6Nk+f/ppLV9//V0UpE0ciktK4y1Cs0cWFyHDyXRbL+uvGDkKHnoMufgjWLkcnC44pqunHEDbHPjqc2RqKuQNQqQYG/QhM/zXUauhsMB/P7t3IVd8Rxlu9Mw2MGqM4bIGg1JggkRv1QH2/tzo/kDZU2vjbm38EoAiuuitOyE1E0IPsvR8lIiG8iIAKeM7L4Bly77kvrnzAGoqV3vDOgsKD3HeBZfz/bdLsVpDWwp6/ImnjRU0Aalf6VsRBb78LLzCkd4EebUQ3Xt4LDHVyE2/Ip95Evb9fuQ92WKFs6fD2X9EGOWEnh/EEhLAD9/ChDMabJZ2G/LpJzx+NJpGpaaBywWvvgCzrkOMGWuMnEGSGK9dTQBnpzwwWfwaYQLZVSQCV1ZXZIs2RoqmiAVCYBt4VtydeaNGAjwAn/nni41GC7ndbvbu3RdWzpP8/PWRipbwpKbGpijm0YzcEcbSvxCIk/wvCcntW5H33QX7fq+7w+lALnwT+fJzoY/bGD/+EFy7Riww8uknYMVyzwdd9ygvAHY7cv5jyPzVBggZPMoCEyzWFGxDp5H840KPtaU6L4hEIJC4OuZiHzwV6/I3sRRsA468Ldc4YqZkYB881VCxRFUplp0/Ydq/BaSO3rozzq7D0DNyDB1HAe5Oubh3rcFU+Fvc0/0bTbznY7c7WLFild82ZrOJL7/6hjPPDK1O09GwvDJ+/Nh4i9D8CXXpXwi0rCw4/YhTrl5VCe8vgp9WwMGDYDGDNQmczsb7Wfox+mmT0DoZYLm3BZnGw0c9JH3bFo/lpTGEhnznX4i8weHJFgZKgQkBd05Pqk6chWX7D1j2b0K6nOgZOTi7jcDVsT8IgeP4GThcTsy7VmPZuQrNVoZMSsPZZRDOY4aAxbjqsaaC30j+8S1PzY9qNUkrL8S8cxWO/qfh7D7CsLEUHmxDp5P61XNgK4n7Q99Y4mtbcgexNCcluFyhW4qSk5OprDSg+nACc8ftNwZupAgK6XbD2lXILz6Dw4XQOgsxdrynRtEPIZSj6N2X1vfeTZE5Dd2tI99bCO8trGvtdNghGAf1116Eu+4LeS4NyMgIrhL38LqFKPWffoR5D/o/RuqweSOyqAgRo5pKSoEJEb1lWxyDzqKlryqcbhfCaUNaU3B1H4ErmgqEvYLkH/9VR3mBI5ahpPWf4M5oh551TPRkOBqxplB14pUk/fgO5qJd8ZbGOOLsxJuSnMyxx3Zj+/YdjaYz13WdwYMHhNz3xDNO5b33/92kKlGHwgXnT6Nbt67xFqNZIO125LwHYN3aIxlztW3IH5dD3/5gsfi3lgBcOBMxZBhaly6YsltAYRlywavwnw/CF+zndeEfW5t+ubB/X+B2taw9+vat8Le5wY9hqwJio8AoHxgDEGUFJK16j7SPHyLt08dI+/hhkvIXI6pKEbZytJJ9iCpjzdiWXWs8ClMjb85SaFi3LTd0TIUHmZSGI6+hg1tTRk+NbxVaIQRXXnFJo8qLEIKUlGSmnXNWyH1fPetSTKbmeatLTU1h7v13xluMZoN87cUjuVK8Cq/3/79u8O8rJgScMAZtyjmIzkfSLsiCg7D4w8gEc7sMSS4npk4PruF77xz59wv/CH4AixVatQ5NqAhonld1DNGK9pL6vxcw/76hxvohdBfmXatJ/Ww+qZ8+RurXz5O27AmSv3sV7fAeQ8Y1FfyGP7O/kDqmgu2GjKVoiN6iLbq1+dS1cnXKjbcIXDTjj0w5y1OLqbYzr8lkwmw28+IL82nRIvSEgn379uLlF5/GYml+BufKyioWL/k03mI0C2RZKXyxzH+WWn9WvIxMxLUNl/Lkt1/7Tu8fKtu3RtyFyGkHeYMCN9yyCel1Kt4W5LhCwNiTEMnGuUkEQikwkSAlyas/8FhC6teukBKku46fhOnQLlK+e8WgRHYyCB+MZhszE3+EwNHzD/GWwjBkSpD5IaKIpmk88/QjPPP0IwwaNIDU1BRatcrk/PPOYdmnHzBu7Jiw+x4/fiyTJ4fm/NtUWLDgncCNFIEJZGEJRHERlBT72F5syBKtYZWicwcG1+7wIY8/ULDjCoE498KwxQqH5vdKEkO0w7vQKg41ur9hVWqJlJC09t9UnnxDRFq5O+sYTIU7/CwhCdzK/yWquLoNx73jJ0zlhfEWJXJMiXEr0DSNs6dO5uyp4adTb4yOHaJTRyre7NhZ1xerqKiYr7/+jqqqKvrn9iW3f984Sda0kN6Q4EjYucOTjK52vykp4Dag7zdehr89GXE3onXroF5tpcvlyT8jRHBKjBAIH9FL0URZYCJAKz0Yso1DINEqizEdCq4ce2O4jhkMmtbo+EJKnN1HNrJXYQhCUHXirCZv55KAO7tbvMWIOscdl5jFHE1hFO6rTevWHv8lp9PJtbNvoV/u8Vwz+xZuvvX/OHXC2QwZNpYNv2w0QtRmh5QS/X9fov/5T/DEvMg7tFrqfHTt3Quf/jfyfgG2b0N/1oCkjENHBFdNe8Grnv/36h1cv5mx96MzVIGRUvLoo48ycuRIhg8fzrx58/x6/q9du5bzzjuPQYMGMWHCBBYtWlRn/5lnnkmvXr3q/G3enEBFpkzWsENpRcXhiIaWyS2wDZ3uib2vZZ70/tveexzutol5w25WmMzYhkyLiRITjTEkIM1JyKS0KPSeWEyceCrp6fEpyumPO+64GbM5fCXmj9OnsGvXHkYcfwoffLikwVLD77/v57TTz2H7dlWDzYt0udAXvom88Bz4++OG+JeQnAy961q7Sh96CMrLI+/by+dL0Vf4ycUSAOl2e0LDx58auPGO7bBlE1xxbeC2QkOcHESfBmOo3fiVV15h8eLFPP3007hcLm677TaysrK4/PLLG7QtKCjgyiuv5Pzzz+fhhx9mw4YNzJkzhzZt2jB27Fjcbjc7duxgwYIFdO3atea4VjGKLw8GV9tjsVYnsgsV6SsfjO7GvG8j5t83gNOGnp6F65gh6BntfPbhbteLynHXYvntR8z7N4PUcbfuhLPbCPSs+BQfPBpxd+wHq96N+jjRyjuTKEUco01qSgqPP/oAs675k3H+BBFy9axLmX3NZXz44X/YsCE0K4kQgpycthw8WMCI48f7betyubn+xjtY8p+FkYjbLJAuF/Ku20JTWoSAlBTwl09o4lmeis/ecXbtxLk+Clmgn30aRpwQ0iFS1+HjfyP//QEUBfnyLARs+hVt8lT0ex6AB+7x7cSsaZCVDadNCkkmIzBUgXn99de54YYbGDp0KAC33norTz31lE8F5rPPPiM7O5ubb74ZgK5du7JixQr+85//MHbsWPbs2YPT6WTAgAEkJSUZKaYhSCmx/vKZx6+F0B4u0mTB3bZHnW3CVk7yD69jKiuoye4rD+3EuuMnHD1OwNFnvE+fGZmehSP3dBy5zdNBsckgTMh6TttNBXdW818+8jJ58mlkZLTkhpvu4MCBg3GVpVfPHtx7z585eLCAX38N3bJ8XI/uTJkykXmPzA+q/erV+bhcLszmxPB3igdSSuQ/ngpeeTGZIKcd4qRTkWNPghf+CSu+92zXdc/D2+2GceMR08+vO1YoFatDobwMfetmtB49g2oupfQUofw8jGi16mhALTcP/dW34fGHIX9NXZ+YAQMR19yAaNEi9P4jxLBf8oEDB9i3bx/Dhg2r2TZkyBD27t3LwYMHadu27lvemDFj6NOnT4N+yqvNbVu3bqV9+/YJqbwAuLevxbLbky+g/kMrkELj6DkGzLUK0klJ8sq30coPVffn+XF4w7KtW79HT8vy+L0oEpMmqrwIQG95dJWd+MMfTmD8ySfy5luLAjeOIr16HQfA1q2/hZ1k7/kXXgup/cGDBXRops7MgdC3boZH/gqHGw+8aECnzmiP/h2oLnp6yx2wdTPy6y880UVZ2YixJyO6+aiSHk1F8Y1X4L6Hgmv764bwlBcpoX9ezUctJQXuug9ZVga/rke43bQamkextUXIVRaMwrBvuKDAU/yptqKSnZ0NwP79+xsoMJ06daJTp041nw8dOsSSJUu4/vrrAdi2bRsWi4VZs2axfv16unXrxu23386AAaFl4jQi/N5Xn65fvq2xlDTYj9dfofpfQvOkWRYazp5jcB03uo5cWtEeTEV7Gx1PAtYt3+I+ZlB0JlQP7xAxGCouRGV+mgniXKk6XGRKepM715Gew5LSMuOECZMrLr8IIeD9D/4d1vGbt2wL+ZiMzJYJc65jeZ+R69bC3HtCr2dksdaRTwgBPXt5/gIg8gbiNpmiUyh18yZw2BFBvODrny0N/f6kadC3P1ot9w0vomULGHE8QoA5qwXikPHXUrC/iZAUGJvNxoEDB3zu89YaqV3q3vtvh8MRsN/rr7+e7Oxszj33XAB+++03SkpKmD59OjfccAPvvPMOl1xyCR9//DHt2wf/BpGVFR2zVtWhvX59XwQg2nXHfOwgZGUJIjkdU7c8UlMaOhE6d+7C5VVyGuursojWyU60FlkGzSAw0fruEgUj51eV3hpKfVdwTWiEoPVxvRFaZJEw8SKccyilZNmyL6IgTWgsX7GCUaMGsejdj8I63mQy4Q7h4dixQzu6HuPbny6eRPs+Ix0ODj75SFjFGNNPGktadpjyZbeg5LTTsC1ZEt7x/nA5aeUsx9wxO2DTQwd+xxXiy5WpSxdaz70PrVXgucfzORGSApOfn8/FF1/sc99tt90GeJQV77KPV3FJSWm81HtFRQXXXnstO3bs4K233qppO3fuXGw2W03UwF/+8hdWr17NRx99xNVXXx20zIcOlRlu3hICUjWT39h+CbikifLsfkc2VkioaKitWiqqsBDYj6boUBnSbg3QKnKE8Pwoo/HdJQLRmF+yFDRFFcDZvh8Vh5teocNIzuGcO+/Hbvf/UhULnvnHK7Rv3xGHI0BtHYO4685bKCyMv+XJS6zuM/p330BpGKVckpKpHPkHqsL8zoSA1jfcgO3XjbA9dGtZIA7vLUBLD/xC605KCT6XC0C7dsiHHuew2wx+5h7N8+ftOxAhKTAjRoxg06ZNPvcdOHCARx55hIKCgpqlIe+yUps2bXweU15ezhVXXMGuXbt47bXX6kQbmc3mOiGPQgi6d+/eqAWoMaQMXfEOBq1LX9zb82v8VHzhyukZ1NjujI5Y/fQDnqglPTkjpsl1o/XdJQqGzU/qaGXxdQgNBwnYh5zdpBM2h3oOd+7czSuvvhU9gUKgpKSU337bEfbxbrebrl27sGNH4KKif779RqZOnZyQ13O07zNy544jhRlDwWFHfv8tTJgY/FiVlfDNl8hVK8HppHxAf7jxFrjzdqgwMJwakI88iD7vKUSA2kNi9IlIb32nIBDTLwCzJehzEs/nhGF5YHJycujQoQOrVq2q2bZq1So6dOjQwP8FPJVlr7vuOvbs2cMbb7zBcccdV2f/RRddxNNPP12n/aZNm+je3YezVByw9D8RqiOQ6iOFQFrTgq4v427XCz0pvdHiABKBs+vQhMmWqqiHu2k68Oopmc3X0akRHnv8mXiLUIcunTsFbtQIqSkpvPHas34T4bVIT+e7b5Zy043XhD1OU0ckJYX3hNV15IvPIr/7JqjmcsdvyOuvRL74LKxZDevXUfn223DTbIhGMdHiYuTzQRRaHPUHaBek24XZ7GnfRDD0Wz3//PN59NFHWbFiBStWrOCxxx6rs+R0+PBhKioqAHj33XdZsWIFDzzwAC1btqSgoICCggKKi4sBOOmkk3j11Vf5/PPP2b59O/fffz9lZWVMnTrVSJHDRsvuhH3IOZ5EctXeMDX/t6ZhO+HiupFGfjvTsA0/F0wWZK0Hiqz+c2d1aVZ1d5obWun+eIsQFu6c4wI3amasXhP8m2i0SU9PY+rUSaSlhVcU1JpkpUeP7nzy33dpl9PwJXHo0EF8//2ndO9+lJcUGToiIhOBXLggYN4gabMh595dK2lddXtd94wdzhJWMPy0Ar2kxG8TkZSE+MtfPXlsAtG2HSLCzNCxxNBX+ssvv5xDhw5x3XXXYTKZmDZtGjNnzqzZP23aNKZOncr111/P0qVL0XWdWbNm1elj+PDhvPHGG8ycORO73c4DDzxAYWEheXl5vPLKKwmVSdPdsR+VrY/BvHsNpqLfkZoJd9seuDr2A5MlcAe10Ft1onLs1Vi2L8ey52dwO9DTWuPqOhRnl8Hxtb7oOqbC7YjKEqQ1FXdOj5Dn15zRSpqmAuM4LvziiE0VTUsci5Pd7sBiseByhRel4q2u3b9fH9as/h/569bz3XfLSbImMeYPJ9AzQUsnxBrR5RjkoKGw5qfwOtj3O+zZBZ39KILffg2l/hWJqPH5p3D2dL9NRFY28rJZ8MyTfhoJxEn+EyImGoY+FU0mE3PmzGHOnDk+93/xxRHP/5deeslvX0IIrr766pAcduOBTE7HedwYjHDDk2mtEi4pnWnfRpLWLUGzH1m/leYkHH1OwtlteBwlSxyEvSLeIoSEBKQlBVKad5SZL44fOZwtW7bHWwzAU7voq6++DRil6QuTydSgOnfegP7kDehvlHjNBiklZPv2wwyaqirffZeVwSeLkR9EPxN3o3z0LvLMqYgAeWfECWM8mXj37m7oD6Rp0Ko1nDwhioIajyrmqGgU04EtJK9ciLDXdT4TLjtJP/8Xy/YVcZIssdAzm15iMEefk+MtQly48YbEeiHaum073bt3Dfk4t9vN5ZdfZLxAzZEvPoVlERRU1DTIaRh+Lg8fQv75JuS7b4MzjlFtlZXIJx8J2ExYrYh7H4T+1bnUhDjiA9e9B2Lu3xAJtMIRDEqBUfhESol1vSd7Y2NGd+uvX4Ar/uGo8cbdukuTCOTxyujq0P+ozercoUM77v6/2+MtRg09ehzL1CnBR7l4mTplIgNy+wVueJQjpUR+9D5hVxLTNBg+EpGR2bDvZ/8OhwpDj26KBiu+R9+zO2AzkZGBdvdcxOPPIC6bhbj0SsTDT6A99BiiTdOriaYUGIVP5OF9aOWFfi974XZgPpBA1cHjRYJH8nidwfWUDGyDpnhCpxNc5mhy7TWX8cLzT5GR0TKucphMJsaeOIrkZB+FXQOwbfsO4wVqjpQUe3xYwnnF0DRo0RJxccNafvLAflizKjGUFy//Cr6shOjcBXHaRMTpkxHH9gh8QIKi4nIVPpG2wDkLJKLJ+X9EA/PBrQkbRq1b06gcfyOYldN1bfr36+NJCx9HTjvtZIQQVFRUYjabcbkaT4xZn+LiODmMNjUiSVAy4gTEJZcjsnxkuw02MV0oCeQiZcOG2IyTQCgLjMInIi0jcBskekp832ITgkRdRhOCqhOvUspLPUpLyzj7nIsojXM9pL8+cDcAXbt2CUl5MZlMYfnNHJVkZIbnwCsE7NoJma187w+yUKOpc2foEqMwdmdsMjonEkqBUfhEy8zBndnBT3I9TySLu+3Rl0ukPnpKYGUvlniXjCyTroNUpWDWZ+E7H7D/wMGwK0AbwdWzLqVtW8+DddKkCaSnpwV9rNvt5qIZ50ZLtGaF0DTEpLNCP1BKT7TO6kZCr/v2C/xiYDLRev782C0zuZQCo1DU4Mg9DYRooMRIPC5x9tzTVHZgwFR2MKGceL3V0M1tj/IEZo3wwQeLAyYmiyYzL7mA/7vr1prPqSkpzPvbfQghAi5rCSGYMOFkTptwdEaRhcVpk2DAwNCP00zIlb4jLUVaOpx6WuO+ZELAyaeiZWZCVrbHnyba6Dqy4uha0lcKjKJR9NadqTrhEvSWdb3TZUomVUOn4+o0IE6SJRbm3T/HW4QGCKEu7cYoiVZW1CC48oqLeeiv9zRI/z91yiQWvPE8ubl9a7YJIbBYjrzlZ2ZkcPOfruWF555Ei8UDsbkgBPy+N3THdd0N+avR5z+GXPEDsl7lbzHjUhg2wvPBez68/x80BG3mFZ52J58SMyuM3LwxJuMkCur1WeEXPasLVWOvRis5gKgqQSalomd2PKqjWOojqkoS1olX0ZDjjjuWnTt343aHlwE3Em7+0+xG9500bgwnjRvD7t17KCsrJze3B1VVOlu3/gbAscd2Iykp+tXomx3r1kJhQXjHHj4E33yF/OYr6NwF7p5bUzxRWCxw653wy3rkV5/DoUPQujXixJOg/wBEddZnMfx4ZO++sHlj9BWZoqKgm8qqKvj2a+SmX0HTEP0HwMhRCGvT+Y0pBUYRFHpGDmTkxFuMhES47PEWQRECF804l6VLP4/L2GVlZWRm+veZ6ty5E0JA69YtKCwso2/fXjGSrpmy8zdjooH27EY+PBcefrxmqU8IAf1yEf0aL9wrzGbEnX9BvvI8/O9LiKbi/OP3EEQ5APnrBs9cKiuqrUYC+eVn8MYrcNd9iK7doiejgSg7pEIRAaK0ACFj/yYfEGUha5STxo3hrDPjU64jIyOxHL6PCqxWY0KZpYTtW+GX9SEfKlJS0K69EfHcq4hb74TzLw58UDj8EjiUWh48gHzwXqiq9GzQdc9yGUBpCfL+uzwlEpoASoFRKCLAvDfx/F8AEE2nomysEUJw5uQzYj5u3769adny6Ks/FXcGDzOuL01DrloZ0iHS7UZu/AW5djXY7YgRxyNGHG+cTLWx+a7ZVEeeT5Z4Qq59KXW67qmo/dVnURDOeNQSkkIRAVrZwXiL4BM9NTPeIiQ2cTBQ3XJz4/4viughctohNc04/5Mgw5V1l4vy115Df/c9KDviOC4HDILLZ3nyw+zeFbtEd16Wf+f/u5ASufx7xOSpsZMpTJQFRqGIBGFKqBBqL84+4+ItQkIzZnSU3oAboU2bbM44/ZSYjqmoRWqqMf3oOqLbsX6bSJcL+f47yEvOp+KVV+ooLwCsz4f/uw0mnmW88mIJImmlIwifPbstclligFJgFIoIEPbyhItA0jUz7va94y1GQtOiRTojRgyJ2XjHHNMpZmMpfNDDIEfolFQ4YUyju6XbjXz0IeS/3mhcCfAu0/y6AXHT7cEpHcHSJ4gCn92O9Z+XRjN52jQBlAKjUESANCVWmn4JVJ58fbzFaBIseP35kDLgRkJSUugFGxUG8sfzjennuj8hkpIa3//d/2DVj4H7kRK+/sITmWRkCYCTJwRsIk6b6H8JSXcjJsTeRywclAKjUESC1SDTtAFIwHXMEFD1qYIiPT2N775ZGpOkcH16q5Ib8UQ7rhcMGBRxP8LdeM0qWVWJfOPl4DuT0lMt20iCqbs0eBiMr1Z0akcrepNfTjsP0aOnsXJFCaXAKBQR4MpJpBwdAkfPP8RbiCZF27bZXHvN5VEfZ8pZE6M+hiIAl10VeR+VlT43S7sN+Ze7oLg48jEiQGT7qJxdv40QiKtmI669ETp1ObLj2GMRN9+Bdu6FUZTQWFQUkkIRAdIa/6WBmtpUAyYilfUlZE48cRRPP/NC1PpPSUlh4MDGE50pYsTe3RF3Ia1W3z5vn/4XftsWcf+RIRBBLlUKIWDceMS48Ui7rfpYP0tjCYqywCgUEeDPpBwzGQB3WjaurrFzSm1ObN2yPar9X3nFxQ1qHyniwJpVkfexdYvPzfLT/8Y+HLo+WnjhBCIpuUkqL6AUGIUiIrTC3+ItAgCu9om0lNW0WPjO+1Hr22q1cv11V0atf0UI7NoZeR9bNvnefvBA5H1HSmZmvCWIOUqBUSgiwLJ7XbxFAEDPbhq1SxKN337bydr80FPDB8vNN88mPT09av0rQiCY/CeBMDfidZEIUWZDDMw43ERQCoxCEQHCFTh1dzSRgLQk41YKTFisWxe4dky4dO/elcsvbToOkc0eI+r7dOjoe3u//pH3HSHi7HPjLULMUU68CkUTxeu8axsw0X9iKkWjWKzRyeOTlpbKRx++pawviYQRIcsFBb63nz4Zfgoi/0u06NwFkd3GkK6k2w0/rUB+/B/PspvZDMf1gosuRWvfwZAxjEIpMApFuLgNTEAVBgLQk1vi6hj/t7+myvEjo2N2v+H6WWRntY5K34owcRngcL91s8/N2oCB6J2Pgd0G+NmEw5x7DelGOp3IR/8Kq3+qu2Plcli5HH3SFMTFl3mimBIA9dqmUISJqXBH3MsIuFt3jrMETZtWrTLp2LG9oX1arVYuuGC6oX0qDKClASkG/Fg6xeybwByHzNwmM1qbtoZ0JRf9q6HyUpvFHyL/HT2n91BRCoxCESamguiG3waDs/OAeIvQ5PnjdGOr7r715gvK+pKITIgwmaBmgrzGs/mKY3vA7JsiGyMcunQJ3CYIpN0OnywO3PDN19BtiVHsUSkwCkWYaIfiZC6uRgJ62yaaol7q4LR7/h9nLrn4PMNM4n998G5GnTDCkL4UxiImngnWCPKdSB0x8Sz/Y3SIg4/I0OHG9LNnF1QFEZQgJXz0njFjRohSYBSKMDGVNuLQFyNcOcfVrWXSBBBVpVjXfUzaxw+T/t+HSfv4IZLyFyMqi+MmU05OW+69588R9ZGamsKLL8zn0pkq6ihREWnpcOsdoR+oaSAE4urrEccFqBHUoVPsl5EmTDKmn1AS8f34gzFjRohSYBSKMBC2MpDxy8IrAUfe5LiNHw6i/DApXz+HZedPiGoHaOF2Yd61htSvn0eUFcZNtllXzeTCC6aFfFxW61b86aZr2fTrSiaecWoUJFMYiTZoKOKGW4JrnJEJ3Y+F0yYhnvwn4qRTAh4ikpPh1NMjEzIUNA0tI8OYvjofA8Fm5N21E2l0IcowUFFICkUYJK1cGBcHXu87km3odGRyizhIED5J+f9GOKsQ9d70hNSRLhvJaz+kaswVcZIOHpk3lwEDcpn7wDzKyyvq7MvIaMnIkUOZNOk0zpx0Gi63G5fTRYsW6QkTkaEIDjFmLLJbd7jtxsYjk6xWxIOPIHLahd7/BRcht26GzRsjlDQIhhq3XCmSkpCnT4YP3w2qvX77TchFiwwbPxyUAqNQhIGpaG9NHpbYIqgadQl61jExHzkSRHkhZj8+Q0JKTEV70UoPoLfMiaFktWQQgosvOpeLZvyRVavW8s23P5CamsqQwXkMGTKwjqJiBUiJi5gKA9A6dUHOexJ5/91QXOTZKIRnGSUlFXHH3WEpL+CpLcRf/gpffob45D/ouyMvItkoM2Ya2p344wXI/3wAbnfgxocOcfiGG5B3P+BxcI4DSoFRKEJE2Mo9/4/xuBJwdRnY5JQXAK30YJDt4qfAeBFCMHToIIYObTziRNH0EZ2PgX+8BCuXI9etBV1H9OoDo/8QdFXnRvu2WBATTif7wj9y4O//gPfeMUZoH+MY3Z/MyIDDh4Nq71q/Hl59Ee2yWYbKESxKgVEoQsRUsD0uy0cCcLfpHoeRDcAU3K1GanHIo6E4ahEWC5wwBnHCmKiNoZ15NvoH74JucMSdxQotDfJ/qU2XrkErMAD8dzH6kOFofkLMo4Vy4lUoQiUOob8S0M1WXO37xHxsI3BndUWa/CsnUjPjbqNqOimaFyItDUb9wdhONQ1OHIewWo3tF+CcMGoqPf2EpwRBjFEKjEIRInpmfOqBuDoNjNtac8SYrTiPHUljgZoScHYbDpYEqOqrUBiNkb4qQkBGBmL6+cb1WZtwMu0WF8G6tYaLEgilwCgUIaK3bNvogzhaCMDdvleMRzUWR6+xuI4ZAoAUGhKBFJ5bkKvzQBx9To6neApF1NBaZ0HeYGM6Gz4S8dfHEK2zjOmvFrK4CFauCP1AIWDfXsPlCYTygVEoEhwJyJRWuLOb+PKK0LDnTcLZbTjm3fkIWxkyOR1X57y4O+4qFNFGzJiJXLcmtIRx9blsFtrpBiWu80VBcM72DaiO3oo1hlpgpJQ8+uijjBw5kuHDhzNv3jx0P45LDzzwAL169arzt2DBgpr9ixcvZvz48eTl5TF79mwOh+JYpFA0AySAZqJq5PlNLutuY+gt2+Lodwr2IWfj6HeqUl4URwWiaze4cGb4HZwwOrrKC0BqWnjHaRoMiU5ld38YaoF55ZVXWLx4MU8//TQul4vbbruNrKwsLr/8cp/tt23bxi233MLUqUeKqaWnpwOwbt067rrrLu677z569+7Ngw8+yJw5c3juueeMFFmhSFgkgDmJytGXIVu0ibc4CoUiQrSzzkY3m+DVF0M/+Pe9yKpKRBQtHdIcpkpw+mRENCKiAmCoBeb111/nhhtuYOjQoYwcOZJbb72VN998s9H227Zto2/fvrRp06bmLyXFkx1qwYIFnH766UyZMoXevXszb948vv76a3ZHMymQQpEgSMCd04vKcdciW7aNtzgKhcIgtIlnIZ56FkafGNqyy47fkK+/HBWZpJToby+A664M/eC2OYiLLjVeqCAwTIE5cOAA+/btY9iwI2akIUOGsHfvXg4ebLiuVl5ezoEDB+jatavP/vLz8xk6dGjN5/bt29OhQwfy8/ONElmhSCgkHufWqhEXUHnKn7CNOA+Z0jLeYikUCoMRHTqi3XgrjD0ptKXhz5ai799nvECLP4T3FoZ1qPan2xGmJp6Jt6DAU5m3bdsjb4vZ2dkA7N+/v8528FhfhBA8++yz/O9//yMzM5NLL720Zjnp4MGDDY7Jyspi//79IckVDbcBb5/NxCWhAWp+AY6vKDJOmNr9Au7MDujtjqv5HHZf6hw2aZr7/KD5zzGY+Qk81o+QeOctxI1BFqQMAul0It9eELihD6zjxqH37BmRX7Ivgv1NhKTA2Gw2Dhw44HNfZWUlANZaiXW8/3Y4HA3ab9++HSEE3bt3Z8aMGaxcuZK7776b9PR0TjnlFGw2W52+vP356ssfWVnRK3gXzb4TATU/3zh2fke0UjYl9zue9Gzjvnd1Dps2zX1+0Pzn6G9+tpHDKPnv4tA6XPE9WRl3GVZGoOKDDygP8bnqJXXCBJLieP5CUmDy8/O5+OKLfe677bbbAI+yklRdkturbHj9WmozZcoUxo0bR2ZmJgC9e/dmx44d/Otf/+KUU04hKSmpgbLicDh89uWPQ4fKoqIdZmW18PStS3C7PKnSm8mrRJ35xTrhSQyIdH5JuzYbnn9AIsCaQnFGDygsi7g/dQ6bNs19ftD85xjM/PTuYWTWdjgo3LkPkdkqMgGrcb8d3tIRZgvWYcOi+owNKEIonY4YMYJNmzb53HfgwAEeeeQRCgoK6NSpE3BkWalNm4YRFEKIGuXFS/fu3Vm+fDkAOTk5FBYW1tlfWFjosy9/SBlZ2H1j6GWHsKz9FPOufITuQpqTcB4zGGePUcikMEPREoxofXeJQrjz0yqLDK1E7Y02qho5A2myYmSWPHUOmzbNfX7Q/Ofod37hZNY2mZApaYbcJ6TbDQd9r6oEZM7/IUymuJ4/w5x4c3Jy6NChA6tWrarZtmrVKjp06NDAlwXgqaeeYubMmXW2bdy4ke7dPcXq8vLy6vS1b98+9u3bR15enlEih40oPYD9wycw71yD0F2ebS47lu3LSfnf84iq0jhLqIgmUtMMLeYogMpRM9Ez2xvYq0KhSHSE1QpdQqwuf/xo42og2arC0z5mzMRkVGbhCDA0jPr888/n0UcfZcWKFaxYsYLHHnuszpLT4cOHqaioAGDcuHGsXLmSl156iV27dvHWW2/x4Ycfctlll9X09dFHH7Fo0SI2btzI7bffztixY+ncubORIoeOlCSteh+cDkS9on5CSoStjKR1H8dJOEUskGlRSOFtDW1pVKFQNA/EpCmhtQ+n2GIjyC8/C/2ggYPQzjrHMBkiwdCl/Msvv5xDhw5x3XXXYTKZmDZtWh0ry7Rp05g6dSrXX389AwYM4KmnnmL+/Pk89dRTdOzYkccee4xBgzwluQcNGsT999/P/PnzKSkpYdSoUcydO9dIccNCK9qLqbTxdMtCSkwHNiGqSlUIbDPF0XUY5oLtxnaqFBiF4uhk7MmwaSN8vjRw24xMRCdjXuL1Z/8On38a8nFi+gWGjG8EhiowJpOJOXPmMGfOHJ/7v/jiizqfx48fz/jx4xvt7+yzz+bss882UsSI0Ur3B/R/EIBWdhC3UmCaJXq7XkizFeEKz3O/NhKQlmQwGRNRoFAomhZCCJg1G2mxwif/8d/4vBmGjKm/9lJYygtt2iJ69jZEBiNQ1ahDRTMH5f8gNVUns9kiBLaBZ4V0SGOrzAJw9BoXsUgKhaLpIoRAXHYl5Prx8eyXizj51IjHkt9940lcFw4zZkY8vpEoBSZE3G17IIX/r01aktFbdYqRRIp44G7fB92aGnQgQH2l13ucs11vXN1iXwRNoVAkFkIIxP/dD+deCKm1SgykpsL08xH3POCx1kSAlBIZZsZd2rVHHD86ovGNRpkJQkQmp+PqMhDLzjU09l7t6DHKkxdG0WwR5YfQHJVhHSsBabJiy5uMu2O/ZpM/SKFQRIbQNMS085Bn/xGKigAJrVojNINsDYcPwe6doR+XnIJ4ZH7ECpTRqKdsGDhyTydJONF3/OyxxkgJQiCkjqPbcJw9RsVbREWU8YbPh3UsgO5SyotCofCJ0DTIMj7akTAz7vL404jkZGNlMQClwISDyYz1pIsp2roJ0+58hL0SmdISZ5dByBahJdpTNE30tNZINAR64MY+EFIHtxPMBuVzUCgUikBktwGLBZzO4I/RNLQ2DXO5JQJKgQkTIQR6q464MzvGWxRFPDBbcbfqgKloT8hJ7bxRbEn5i7EPnqqsMAqFIiYIiwXZpi38vjf4gxJUeQHlxKtQhI1mrwjrOK+6Yt77M+Zda4wTSKFQKALRIoT0HkIgJpwRPVkiRCkwCkU4SIlWWRRxSQHLtuWGiKNQKBRB0SGEVYNux8Kpp0dPlghRCoxCEQ5CBAynD9gFYCov8PjCKBQKRQwQI4MMMjl9EuIvDyKSEs9514vygVEowkVoSKlHXtgxQkVIoVAogiZvEHQ+BvbsaryQ45x70QYPja1cYaDunApFOOg6QndFpLxIBO7WXUAzGSaWQqFQ+EOYTIi77gNvTSVvEIEQYDIhZt/UJJQXUBYYhSI8hEBq5gjzwUhP0kOFQqGIISIrCx6ZD2tWIVcuB4cD0eUYGDcekdkq3uIFjVJgFIpwEAJXh36Y9+SHbYWx9x2Pu11PQ8VSKBSKYBAmEwwdjhg6PN6ihI1aQlIowsSd0S4s5UUC7ladfWdsljra4T2YDm5FVBRFKqJCoVA0W5QFRqEIE1Px7zVJ6UJBAM5jBjfYbt61BuvGL9FsZTXbXNndsOeegWyRHZGsCoVC0dxQFhiFIkyEyxbWcXpKS1wd+9XZZtn2A8lr/42opbwAmA7tIPWblxDlh8KWU6FQKJojSoFRKMJE2MpDLyMgNKpGXQYmy5GNjkqsv3zm6bP+GFKC24514xcRyapQKBTNDaXAKBRholUcopEsCj6RgEzJQKZm1Nlu2bu+8XwMeJQY875fwVEVnqAKhULRDFEKjEIRLi5nSBYYAT6z7oqqkoAFHYWUCHt5SOIpFApFc0YpMApFuJhC84GX4ElaV8/aIq1pfi0wNVhTQxpPoVAomjMqCkmhCBNXh75YducH3V7gsbYkrVuCfcDEGquLq2M/rL8sa/Q4icDdphsyKS1SkWvQivZi2fYD5gNbQOrome1xdB+Ju32fgNYghUKhSASUBUahCBNHn5ORiJD8YAAsO1ehHd5V81mmZODsNsJnPxIBQuDofVJEstbGvDuflG9exLzvV4TbgdBdaIf3kPLTIqw/fxycNUihUCjijFJgFIowkcktcPQ9OfRIJASWHavqbHP0PxVnj1HI6rpIXhVCprTEdvwM9FYdIxcYEJUlJK39yPNvqR/ZXj2idcdPmPb9ashYCoVCEU3UEpJCEQHO7iOx/vIFEHxVaoFEKztQb6OGo+94HD1GeZZ1XHZkehbu7G6GLulYdq0C2XjyPYnAsn0F7g59DRtToVAoooFSYBSKSNBMOPqcRNKvnwV9iARwN1IE0pqCq/MAQ0TzhVa01++il0BiKv49auMrFAqFUaglJIUiQpw9TsDZoT9A0P4wwkc4dUzQTIFlFOq2oFAoEh91p1IoIkUI7EPOxjbwLDAnB1QQBIDujoFgDXG37eF3vxQarpzjYiSNQqFQhI9SYBQKIxACV5eBOI4bHbCpNyNvPHB2ykNaU5A+/GokgNRxHnt8zOVSKBSKUFEKjEJhIM4uA4NagnF2GRR9YXxhScI28iKkxWMpqol2QoDQsA+aYljEk0KhUEQT5cSrUBhJUhq2wVNJXvUe0DDaRwJ6yxxcnQfGWrIa9Mz2VJ58I+Y96zAf3AK6G71VR5zHDImbZUihUChCRSkwCoXBuDv2pyo5g+Q1H0BlUY0SIxG4OvT1ZOE1W/z2EXUsSbi6DcPVbVh85VAoFIowUQqMQhEF9KzOVI6/AeyVmIp2g5TorToik1vEWzSFQqFoFigFRqGIJkmpuNv1ircUCoVC0exQTrwKhUKhUCiaHEqBUSgUCoVC0eRQCoxCoVAoFIomh1JgFAqFQqFQNDmUAqNQKBQKhaLJoRQYhUKhUCgUTQ6lwCgUCoVCoWhyKAVGoVAoFApFk0MpMAqFQqFQKJoczT4Tr6hfTc/APqPRdyKg5tf0ae5zVPNr+jT3Oar5Rd53wHZSSmn88AqFQqFQKBTRQy0hKRQKhUKhaHIoBUahUCgUCkWTQykwCoVCoVAomhxKgVEoFAqFQtHkUAqMQqFQKBSKJodSYBQKhUKhUDQ5lAKjUCgUCoWiyaEUGIVCoVAoFE0OpcAoFAqFQqFocigFRqFQKBQKRZNDKTB+kFJy2WWX8f777/ttt3v3bmbOnMnAgQM544wz+Pbbb+vs//7775k0aRJ5eXlcfPHF7N69O5piB0RKyaOPPsrIkSMZPnw48+bNQ9d1n23vuOMOevXq1eDv4osvrmkzdOjQBvsrKipiNR2fhDJHgAceeKDBHBYsWFCzf/HixYwfP568vDxmz57N4cOHYzGNRgl1fmvXruW8885j0KBBTJgwgUWLFtXZf+aZZzaY/+bNm6M9jTrY7XbuvPNOhg4dyujRo3n55ZcbbfvLL78wffp08vLyOOecc1i/fn2d/Yl2viC0+X311VecddZZDBo0iMmTJ/P555/X2Z+I1xyENsdrrrmmwRy+/PLLmv2vvvoqY8aMYdCgQdx5551UVVXFYgp+CXZ+F110kc/75pw5cwAoKSlpsG/EiBGxnIpfHA4HkyZNYsWKFY22SYhrUCp84na75f333y979uwp33vvvUbb6bouJ0+eLG+55Ra5detW+eyzz8q8vDy5d+9eKaWUe/fulQMHDpQvvfSS3Lx5s7zxxhvlpEmTpK7rsZpKA1566SV54oknypUrV8offvhBjh49Wr744os+25aWlsqDBw/W/K1Zs0b2799fLlu2TEop5f79+2XPnj3lrl276rSL5/ykDG2OUko5c+ZM+dxzz9WZQ2VlpZRSyvz8fDlgwAD5wQcfyF9//VXOmDFDXnXVVbGaik9Cmd/Bgwfl0KFD5WOPPSZ/++03uXjxYpmbmyu//PJLKaWULpdL5ubmyh9//LHO/J1OZwxnJOX9998vJ0+eLNevXy8//fRTOWjQIPnf//63QbuKigo5atQo+fDDD8utW7fKuXPnyhNOOEFWVFRIKRPzfEkZ/Px+/fVX2a9fP/naa6/JHTt2yAULFsh+/frJX3/9VUqZuNeclMHPUUopTznlFPnRRx/VmYPdbpdSSvnJJ5/IIUOGyC+++ELm5+fLM844Q953332xnIpPgp1fUVFRnXktW7ZM9uvXT65bt05KKeVPP/0khw8fXqdNYWFhrKfjE5vNJmfPni179uwply9f7rNNolyDSoHxwf79++WMGTPk2LFj5dChQ/0qMN9//70cOHBgzYmTUspLLrlEzp8/X0op5ZNPPilnzJhRs6+yslIOGjSo0R9GLDjxxBPrzOnDDz+U48aNC+rYyy67TN566601n7/77js5atQow2WMlFDnOGbMGPnNN9/43HfbbbfJP//5zzWff//9d9mrVy+5a9cu4wQOkVDm99Zbb8nTTjutzra7775b3nzzzVJKKXfs2CF79+4tbTZb9AQOQEVFhczNza1zXTzzzDN1rh0vixYtkieddFLNA1vXdXnKKafUfB+JeL5Cmd8jjzwiL7/88jrbLrvsMvn4449LKRP3mgtljna7Xfbp00du377dZ18XXHBBzT1USilXrlwpBwwYUPNSEQ9CmV9tXC6XPOOMM+QTTzxRs+2dd96R5557brREDZstW7bIM888U06ePNmvApMo16BaQvLBhg0baN++Pe+99x4tWrTw2zY/P5++ffuSmppas23IkCGsXbu2Zv/QoUNr9qWkpNCvX7+a/bHmwIED7Nu3j2HDhtVsGzJkCHv37uXgwYN+j/3hhx9YuXIlN998c822rVu30q1bt6jJGw6hzrG8vJwDBw7QtWtXn/3VP4ft27enQ4cO5OfnGy57MIQ6vzFjxvDQQw812F5eXg54zmH79u1JSkqKntAB2LhxIy6Xi0GDBtVsGzJkCPn5+Q2WxvLz8xkyZAhCCACEEAwePLjRay7e5wtCm9/UqVO59dZbG/RRVlYGJOY1B6HNcfv27Qgh6Ny5c4N+3G43P//8c51zOHDgQJxOJxs3bozeBAIQyvxq8/7771NSUsKVV15Zs23r1q2N3m/iyY8//siIESNYuHCh33aJcg0qBcYHJ510EvPmzaN169YB2xYUFNC2bds627Kysti/f39Q+2NNQUEBQB2ZsrOzAQLK9PzzzzN16lTat29fs23btm1UVVVx0UUXMXr0aK688kp+++23KEgePKHOcdu2bQghePbZZ/nDH/7AmWeeyQcffFCz/+DBg036HHbq1ImBAwfWfD506BBLlizh+OOPBzzzt1gszJo1i1GjRjFjxgzWrVsXxRk0pKCggFatWmG1Wmu2ZWdnY7fbKS4ubtDW3/lItPMFoc3v2GOPpXfv3jWft2zZwg8//FDnfCXaNQehzXH79u2kp6dz++23M3r0aKZNm8bXX38NQGlpKXa7vc45NJvNZGZmNplz6EVKyYsvvsjFF19MWlpazfZt27axf/9+pk2bxpgxY/jTn/4U8AUyFlxwwQXceeedpKSk+G2XKNeg2dDemgg2m40DBw743NemTZs61pRAVFVV1flBA1itVhwOR1D7o4G/+VVWVtbIUFsewK9Mu3fvZvny5dx11111tm/fvp2SkhJuvvlm0tPTeeGFF5g5cyZLliwhPT090qk0ipFz9L4Ndu/enRkzZrBy5Uruvvtu0tPTOeWUU7DZbM3iHHr7vf7668nOzubcc88F4LfffqOkpITp06dzww038M4773DJJZfw8ccf11FWo0lj1wk0nFOgayoe5ysQocyvNocPH+b6669n8ODBnHzyyUD8rrlAhDLH7du3Y7PZGD16NFdddRXLli3jmmuuYeHChTXKeHM4hytWrGD//v388Y9/rLN9+/bttG7dmjlz5iCl5IknnuDqq69m0aJFmEym6EzAQBLlGjwqFZj8/Pw6UTS1eeaZZxg/fnzQfSUlJTXQvh0OB8nJyTX76580h8NBy5YtQxM6BPzN77bbbquRwbtk4JXPn9a9dOlS+vTpQ48ePepsf+mll3A6nTVvF48++ignnngiX375JZMnT454Lo1h5BynTJnCuHHjyMzMBKB3797s2LGDf/3rX5xyyimNnsNAbymREI1zWFFRwbXXXsuOHTt46623atrOnTsXm81W8/D7y1/+wurVq/noo4+4+uqrDZuTPxr7joGaaylQ20DXXDTPVyBCmZ+XwsJCLr30UqSUzJ8/H03zGMzjdc0FIpQ5XnvttVx00UVkZGQAnmtuw4YNvPPOO/zpT3+qc2ztvpraOVy6dCl/+MMfau4tXpYsWYIQoua4+fPnM3r0aPLz8xk8eLDxwhtMolyDR6UCM2LECDZt2mRIXzk5OWzdurXOtsLCwhrzWU5ODoWFhQ329+nTx5DxfeFvfgcOHOCRRx6hoKCATp06AUeWJNq0adNon998803NG2BtrFZrHU07KSmJTp06NWo9MAoj5yiEaHCD6d69O8uXLwcaP4f+vq9IMfoclpeXc8UVV7Br1y5ee+21OuvvZrO5zpu71xoV7XNYm5ycHIqKinC5XJjNnttSQUEBycnJDZT9xs5HoGsumucrEKHMDzzn2KvAvv7663WWs+N1zQUilDlqmlajvHjp3r07W7duJTMzk6SkJAoLCzn22GMBcLlcFBcXN6lzCJ775nXXXddge/0HeVZWFpmZmXE/h8GSKNeg8oGJkLy8PDZs2IDNZqvZtmrVKvLy8mr2r1q1qmZfVVUVv/zyS83+WJOTk0OHDh3qyLRq1So6dOjQYM3Si5SSn3/+ucGbgZSS8ePH18mTU1lZyc6dO+nevXt0JhAEoc7xqaeeYubMmXW2bdy4sWYO9c/hvn372LdvX5M5h7quc91117Fnzx7eeOMNjjvuuDr7L7roIp5++uk67Tdt2hTTc9inTx/MZnMd5/ZVq1aRm5tbY3nwkpeXx5o1a5BSAp7f4erVqxu95uJ9viC0+VVWVnLFFVegaRoLFiwgJyenZl+iXnMQ2hzvuOOOmpwoXrzXnKZp5Obm1jmHa9euxWw21/ENijWhzA88y3+7d+9myJAhdbaXl5czbNiwmhck8CisRUVFcT+HwZIw16ChMU3NkHHjxjUIoz506JAsLy+XUh4Jkbvpppvk5s2b5XPPPScHDhxYkwdm9+7dMjc3Vz733HM1eWAmT54c15wNzz33nBw9erRcvny5XL58uRw9erR8+eWXa/bXnp+Unjn07NlTHjx4sEFfc+fOlWPHjpXLly+XmzdvlrNnz5aTJk2SLpcrJnNpjFDmmJ+fL/v27StffPFFuXPnTvnmm2/K/v37y9WrV0sppVy9erXs16+ffOedd2pyGsyaNSsu8/ISyvwWLlwoe/fuLb/88ss6eSeKioqklFK+/PLLcsiQIfKzzz6T27Ztk/fee6884YQTZFlZWUzndPfdd8uJEyfK/Px8uWzZMjl48GC5dOlSKaUnl01VVZWUUsqysjI5cuRIOXfuXLllyxY5d+5cOWrUqJpUBol4vqQMfn6PP/64HDBggMzPz69zvkpLS6WUiXvNSRn8HJcuXSr79esnP/jgA7ljxw7597//XQ4YMEDu3r1bSinl4sWL5eDBg+WyZctkfn6+nDhxopw7d27c5uUl2PlJKeXy5ctlbm6uz3v9rFmz5Jlnninz8/Pl+vXr5fnnny+vuOKKmM0jGOqHUSfiNagUmAD4UmDGjRtXJ0fBjh075IUXXij79+8vJ06cKL/77rs67b/66it56qmnygEDBshLLrkkrvkopPQoXX/961/l0KFD5YgRI+QjjzxS5yKrP7+1a9fKnj171iSZqo3NZpMPPfSQHDVqlMzLy5OzZs2Sv//+e0zm4Y9Q57hs2TI5efJkmZubK0877bSam5KX9957T5544oly4MCBcvbs2fLw4cMxm4svQpnfZZddJnv27Nngz5u/Qtd1+c9//lOOHTtW9u/fX1544YVy06ZNMZ9TZWWlvP322+XAgQPl6NGj5SuvvFKzr35Cyfz8fDllyhSZm5srp02bJjds2FCnr0Q7X1IGP78JEyb4PF/evBqJes1JGdo5fOedd+Spp54q+/fvL6dOnSp//PHHOn0999xz8vjjj5dDhgyRc+bMiWueIi+hzG/JkiWN5uspLi6Wd9xxhxwxYoQcNGiQvPXWW2VxcXG0xQ+J+gpMIl6DQspqG5BCoVAoFApFE0H5wCgUCoVCoWhyKAVGoVAoFApFk0MpMAqFQqFQKJocSoFRKBQKhULR5FAKjEKhUCgUiiaHUmAUCoVCoVA0OZQCo1AoFAqFosmhFBiFQqFQKBRNDqXAKBQKhUKhaHIoBUahUCgUCkWTQykwCoVCoVAomhz/D63aYthiE3pKAAAAAElFTkSuQmCC"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.mixture import GaussianMixture\n",
"\n",
"gmm = GaussianMixture(n_components=6, random_state=100).fit(df)\n",
"plt.scatter(x, y, c=gmm.predict(df))\n",
"plt.title('GM Clustering')\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:42.069372Z",
"start_time": "2023-12-14T15:10:41.668051Z"
}
},
"id": "ce42ebf08586b284"
},
{
"cell_type": "code",
"execution_count": 7,
"outputs": [
{
"data": {
"text/plain": "",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.patches import Ellipse\n",
"\n",
"# Fit the model\n",
"gmm = GaussianMixture(n_components=6, random_state=100).fit(df)\n",
"labels = gmm.predict(df)\n",
"\n",
"# Plot\n",
"plt.figure(figsize=(10, 8))\n",
"colors = ['navy', 'turquoise', 'darkorange', 'purple', 'green', 'red']\n",
"\n",
"for i, (mean, covar, color) in enumerate(zip(gmm.means_, gmm.covariances_, colors)):\n",
" v, w = np.linalg.eigh(covar)\n",
" v = 2. * np.sqrt(2.) * np.sqrt(v)\n",
" u = w[0] / np.linalg.norm(w[0])\n",
"\n",
" # Plot an ellipse to show the Gaussian component\n",
" angle = np.arctan2(u[1], u[0])\n",
" angle = np.degrees(angle) # convert to degrees\n",
" ell = Ellipse(xy=mean, width=v[0], height=v[1], angle=angle, color=color, alpha=0.5)\n",
"\n",
" plt.gca().add_artist(ell)\n",
"\n",
"# Plot the data points\n",
"for i, color in enumerate(colors):\n",
" data = df[labels == i]\n",
" plt.scatter(data.iloc[:, 0], data.iloc[:, 1], s=50, color=color, label=f'Cluster {i+1}')\n",
"\n",
"plt.title('GMM Clustering with Cluster Ellipses')\n",
"plt.xlabel('Latitude')\n",
"plt.ylabel('Longitude')\n",
"plt.legend(loc='best')\n",
"plt.grid(True)\n",
"plt.show()\n"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:42.751704Z",
"start_time": "2023-12-14T15:10:42.075754Z"
}
},
"id": "c73727e26e1401ac"
},
{
"cell_type": "markdown",
"source": [
"## Hierarchical Clustering\n",
"\n",
"Hierarchical clustering is a method used to cluster similar data points into groups or clusters in a tree-like or hierarchical structure. There are two types:\n",
"\n",
"1. **Agglomerative Clustering:** It starts by considering each data point as a separate cluster. It then iteratively merges the closest clusters until all points belong to a single cluster.\n",
" - **Linkage Criteria:** Defines the distance between clusters (single, complete, average, etc.).\n",
" - **Dendrogram:** Visual representation of the merging process, showing the hierarchy of clusters.\n",
"\n",
"2. **Divisive Clustering:** It begins with all data points in one cluster and divides them into smaller clusters in each iteration, ultimately resulting in single-point clusters.\n",
"\n",
"### Key Aspects:\n",
"\n",
"- **Hierarchy:** Offers insight into cluster relationships and subclusters at different similarity levels.\n",
"- **Choice of Cut-off:** Enables the selection of the number of clusters based on the dendrogram.\n",
"\n",
"Hierarchical clustering is useful when the number of clusters is not known beforehand, providing insights into hierarchical structures and relationships within the dataset.\n"
],
"metadata": {
"collapsed": false
},
"id": "e2f6baaefa6a75b2"
},
{
"cell_type": "code",
"execution_count": 8,
"outputs": [
{
"data": {
"text/plain": "",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"clusters = AgglomerativeClustering(n_clusters=6).fit_predict(df)\n",
"plt.scatter(x, y, c=clusters)\n",
"plt.title('Agglomerative Clustering')\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:10:46.078443Z",
"start_time": "2023-12-14T15:10:42.751343Z"
}
},
"id": "initial_id"
},
{
"cell_type": "code",
"execution_count": 10,
"outputs": [
{
"data": {
"text/plain": "",
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Hierarchical clustering\n",
"from scipy.cluster.hierarchy import linkage, dendrogram\n",
"\n",
"subset = ['Amsterdam', 'Berlin', 'Ljubljana', 'Moscow', 'Paris', 'Lima', 'Buenos Aires', 'New Delhi', 'Thimphu', 'Bangkok', 'Montevideo']\n",
"subset_df = cities[(cities['city'].isin(subset)) & (cities['capital'] == 'primary')]\n",
"dist_mat = np.array(subset_df[['lat', 'lng']])\n",
"city_names = list(subset_df['city'])\n",
"\n",
"linkage_matrix = linkage(dist_mat, method='ward')\n",
"plt.figure(figsize=(10, 7))\n",
"dendrogram(linkage_matrix, labels=city_names)\n",
"plt.title('Hierarchical Clustering')\n",
"plt.xticks(rotation=45)\n",
"plt.show()"
],
"metadata": {
"collapsed": false,
"ExecuteTime": {
"end_time": "2023-12-14T15:14:23.090280Z",
"start_time": "2023-12-14T15:14:22.904676Z"
}
},
"id": "d5f2bdf1d97c97c6"
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}