{ "cells": [ { "cell_type": "markdown", "id": "a179cd16ae91dee3", "metadata": {}, "source": [ "# Anomaly Detection\n", "\n", "This notebook shows some basic usage of CapyMOA for Anomaly Detection tasks.\n", "\n", "Algorithms: `HalfSpaceTrees`, `Autoencoder` and `Online Isolation Forest`\n", "\n", "---\n", "\n", "*More information about CapyMOA can be found in* https://www.capymoa.org\n", "\n", "**last update on 29/07/2024**" ] }, { "cell_type": "markdown", "id": "b4b151a3", "metadata": {}, "source": [ "## 1. Creating simple anomalous data with `sklearn`\n", "\n", "* Generating a few examples and some simple anomalous data using `sklearn`" ] }, { "cell_type": "code", "execution_count": 1, "id": "262e3e44", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T00:32:30.428385Z", "iopub.status.busy": "2024-09-23T00:32:30.427752Z", "iopub.status.idle": "2024-09-23T00:32:32.474012Z", "shell.execute_reply": "2024-09-23T00:32:32.473534Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from sklearn.datasets import make_blobs\n", "import matplotlib.pyplot as plt\n", "from capymoa.stream import NumpyStream\n", "\n", "# generate normal data points\n", "n_samples = 10000\n", "n_features = 2\n", "n_clusters = 3\n", "X, y = make_blobs(\n", " n_samples=n_samples, n_features=n_features, centers=n_clusters, random_state=42\n", ")\n", "\n", "# generate anomalous data points\n", "n_anomalies = 100 # the anomaly rate is 1%\n", "anomalies = np.random.uniform(low=-10, high=10, size=(n_anomalies, n_features))\n", "\n", "# combine the normal data points with anomalies\n", "X = np.vstack([X, anomalies])\n", "y = np.hstack([y, [1] * n_anomalies]) # Label anomalies with 1\n", "y[:n_samples] = 0 # Label normal points with 0\n", "\n", "# shuffle the data\n", "idx = np.random.permutation(n_samples + n_anomalies)\n", "X = X[idx]\n", "y = y[idx]\n", "\n", "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=\"viridis\")\n", "plt.show()\n", "\n", "# create a NumpyStream from the combined dataset\n", "feature_names = [f\"feature_{i}\" for i in range(n_features)]\n", "target_name = \"class\"" ] }, { "cell_type": "markdown", "id": "c190066b9765a7e7", "metadata": {}, "source": [ "## 2. Unsupervised Anomaly Detection for data streams\n", "\n", "* Recent research has been focused on unsupervised anomaly detection for data streams, as it is often difficult to obtain labeled data for training.\n", "* Instead of using evaluation functions, we first use a basic **test-then-train loop** from scratch to evaluate the model's performance.\n", "* Please notice that lower scores indicate higher anomaly likelihood." ] }, { "cell_type": "code", "execution_count": 2, "id": "8f7fd1e84afbb8a9", "metadata": { "ExecuteTime": { "end_time": "2024-05-24T02:31:53.712036Z", "start_time": "2024-05-24T02:31:51.410148Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:32.475795Z", "iopub.status.busy": "2024-09-23T00:32:32.475616Z", "iopub.status.idle": "2024-09-23T00:32:33.435949Z", "shell.execute_reply": "2024-09-23T00:32:33.435465Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.95\n" ] } ], "source": [ "from capymoa.anomaly import HalfSpaceTrees\n", "from capymoa.evaluation import AnomalyDetectionEvaluator\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "learner = HalfSpaceTrees(stream_ad.get_schema())\n", "evaluator = AnomalyDetectionEvaluator(stream_ad.get_schema())\n", "while stream_ad.has_more_instances():\n", " instance = stream_ad.next_instance()\n", " score = learner.score_instance(instance)\n", " evaluator.update(instance.y_index, score)\n", " learner.train(instance)\n", "\n", "auc = evaluator.auc()\n", "print(f\"AUC: {auc:.2f}\")" ] }, { "cell_type": "markdown", "id": "3fd96042", "metadata": {}, "source": [ "## 3. High-level evaluation functions\n", "\n", "* CapyMOA provides `prequential_evaluation_anomaly` as a high level function to assess Anomaly Detectors\n" ] }, { "cell_type": "markdown", "id": "5a905343", "metadata": {}, "source": [ "### 3.1 ```prequential_evaluation_anomaly```\n", "In this example, we use the ```prequential_evaluation_anomaly``` function with ```plot_windowed_results``` to plot AUC for HalfSpaceTrees on the synthetic data stream" ] }, { "cell_type": "code", "execution_count": 3, "id": "06b462e8", "metadata": { "ExecuteTime": { "end_time": "2024-06-21T08:14:35.682090Z", "start_time": "2024-06-21T08:14:31.299270Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:33.437850Z", "iopub.status.busy": "2024-09-23T00:32:33.437648Z", "iopub.status.idle": "2024-09-23T00:32:34.628764Z", "shell.execute_reply": "2024-09-23T00:32:34.628272Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.9500215\n" ] }, { "data": { "text/html": [ "
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instancesaucs_aucAccuracyKappaPeriodical holdout AUCPos/Neg ratioG-MeanRecallKappaM
01000.00.9797780.2457310.0630.0012190.0000000.0111220.22931.0-84.181818
12000.00.9503670.1797000.0070.0000000.9797780.0070490.00001.0-109.333333
23000.00.9604740.1976940.0110.0000000.9503670.0111220.00001.0-101.310345
34000.00.9628830.1736250.0070.0000000.9604740.0070490.00001.0-109.333333
45000.00.9647730.2027640.0130.0000000.9628830.0131710.00001.0-99.714286
56000.00.9537840.2147200.0130.0000000.9647730.0131710.00001.0-94.516129
67000.00.9557130.1986510.0090.0000000.9537840.0090820.00001.0-96.704225
78000.00.9420930.1838170.0130.0000000.9557130.0131710.00001.0-93.000000
89000.00.9369960.2151120.0080.0000000.9420930.0080650.00001.0-96.043478
910000.00.9238910.2059920.0080.0000000.9369960.0080650.00001.0-98.200000
1010100.00.9310740.2025770.0080.0000000.9238910.0080650.00001.0-99.192000
\n", "
" ], "text/plain": [ " instances auc s_auc Accuracy Kappa Periodical holdout AUC \\\n", "0 1000.0 0.979778 0.245731 0.063 0.001219 0.000000 \n", "1 2000.0 0.950367 0.179700 0.007 0.000000 0.979778 \n", "2 3000.0 0.960474 0.197694 0.011 0.000000 0.950367 \n", "3 4000.0 0.962883 0.173625 0.007 0.000000 0.960474 \n", "4 5000.0 0.964773 0.202764 0.013 0.000000 0.962883 \n", "5 6000.0 0.953784 0.214720 0.013 0.000000 0.964773 \n", "6 7000.0 0.955713 0.198651 0.009 0.000000 0.953784 \n", "7 8000.0 0.942093 0.183817 0.013 0.000000 0.955713 \n", "8 9000.0 0.936996 0.215112 0.008 0.000000 0.942093 \n", "9 10000.0 0.923891 0.205992 0.008 0.000000 0.936996 \n", "10 10100.0 0.931074 0.202577 0.008 0.000000 0.923891 \n", "\n", " Pos/Neg ratio G-Mean Recall KappaM \n", "0 0.011122 0.2293 1.0 -84.181818 \n", "1 0.007049 0.0000 1.0 -109.333333 \n", "2 0.011122 0.0000 1.0 -101.310345 \n", "3 0.007049 0.0000 1.0 -109.333333 \n", "4 0.013171 0.0000 1.0 -99.714286 \n", "5 0.013171 0.0000 1.0 -94.516129 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from capymoa.evaluation.visualization import plot_windowed_results\n", "from capymoa.anomaly import HalfSpaceTrees\n", "from capymoa.evaluation import prequential_evaluation_anomaly\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "hst = HalfSpaceTrees(schema=stream_ad.get_schema())\n", "\n", "results_hst = prequential_evaluation_anomaly(\n", " stream=stream_ad, learner=hst, window_size=1000\n", ")\n", "\n", "print(f\"AUC: {results_hst.auc()}\")\n", "display(results_hst.windowed.metrics_per_window())\n", "plot_windowed_results(results_hst, metric=\"auc\", save_only=False)" ] }, { "cell_type": "markdown", "id": "b5ce2efc-b595-4f6d-8b6c-d2dbcc01e527", "metadata": {}, "source": [ "## 3.2 Autoencoder" ] }, { "cell_type": "code", "execution_count": 4, "id": "63fd40e2-4c23-46bd-beb0-044a23b91447", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T00:32:34.630642Z", "iopub.status.busy": "2024-09-23T00:32:34.630439Z", "iopub.status.idle": "2024-09-23T00:32:40.681237Z", "shell.execute_reply": "2024-09-23T00:32:40.680753Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.4573365\n" ] }, { "data": { "text/html": [ "
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instancesaucs_aucAccuracyKappaPeriodical holdout AUCPos/Neg ratioG-MeanRecallKappaM
01000.00.319423-0.0769390.0110.0000000.0000000.0111220.0000001.000000-88.909091
12000.00.529852-0.1581130.0070.0000000.3194230.0070490.0000001.000000-109.333333
23000.00.425774-0.0994550.0120.0000220.5298520.0111220.0317981.000000-101.206897
34000.00.614084-0.1953480.0080.0000140.4257740.0070490.0317341.000000-109.222222
45000.00.524667-0.1743890.013-0.0019780.6140840.0131710.0305820.923077-99.714286
56000.00.407295-0.1289030.0140.0000260.5246670.0131710.0318301.000000-94.419355
67000.00.413051-0.0911940.0100.0000180.4072950.0090820.0317661.000000-96.605634
78000.00.490842-0.1742550.012-0.0020020.4130510.0131710.0000000.923077-93.095238
89000.00.506111-0.1814600.0080.0000000.4908420.0080650.0000001.000000-96.043478
910000.00.405494-0.1032950.0080.0000000.5061110.0080650.0000001.000000-98.200000
1010100.00.410345-0.1013300.0080.0000000.4054940.0080650.0000001.000000-99.192000
\n", "
" ], "text/plain": [ " instances auc s_auc Accuracy Kappa Periodical holdout AUC \\\n", "0 1000.0 0.319423 -0.076939 0.011 0.000000 0.000000 \n", "1 2000.0 0.529852 -0.158113 0.007 0.000000 0.319423 \n", "2 3000.0 0.425774 -0.099455 0.012 0.000022 0.529852 \n", "3 4000.0 0.614084 -0.195348 0.008 0.000014 0.425774 \n", "4 5000.0 0.524667 -0.174389 0.013 -0.001978 0.614084 \n", "5 6000.0 0.407295 -0.128903 0.014 0.000026 0.524667 \n", "6 7000.0 0.413051 -0.091194 0.010 0.000018 0.407295 \n", "7 8000.0 0.490842 -0.174255 0.012 -0.002002 0.413051 \n", "8 9000.0 0.506111 -0.181460 0.008 0.000000 0.490842 \n", "9 10000.0 0.405494 -0.103295 0.008 0.000000 0.506111 \n", "10 10100.0 0.410345 -0.101330 0.008 0.000000 0.405494 \n", "\n", " Pos/Neg ratio G-Mean Recall KappaM \n", "0 0.011122 0.000000 1.000000 -88.909091 \n", "1 0.007049 0.000000 1.000000 -109.333333 \n", "2 0.011122 0.031798 1.000000 -101.206897 \n", "3 0.007049 0.031734 1.000000 -109.222222 \n", "4 0.013171 0.030582 0.923077 -99.714286 \n", "5 0.013171 0.031830 1.000000 -94.419355 \n", "6 0.009082 0.031766 1.000000 -96.605634 \n", "7 0.013171 0.000000 0.923077 -93.095238 \n", "8 0.008065 0.000000 1.000000 -96.043478 \n", "9 0.008065 0.000000 1.000000 -98.200000 \n", "10 0.008065 0.000000 1.000000 -99.192000 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from capymoa.evaluation.visualization import plot_windowed_results\n", "from capymoa.anomaly import Autoencoder\n", "from capymoa.evaluation import prequential_evaluation_anomaly\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "ae = Autoencoder(schema=stream_ad.get_schema(), hidden_layer=1)\n", "\n", "results_ae = prequential_evaluation_anomaly(\n", " stream=stream_ad, learner=ae, window_size=1000\n", ")\n", "\n", "print(f\"AUC: {results_ae.auc()}\")\n", "display(results_ae.windowed.metrics_per_window())\n", "plot_windowed_results(results_ae, metric=\"auc\", save_only=False)" ] }, { "cell_type": "markdown", "id": "de4c8ccd-b29e-4c53-ae8d-923c6b9e0e5a", "metadata": {}, "source": [ "## 3.3 Online Isolation Forest" ] }, { "cell_type": "code", "execution_count": 5, "id": "28171920-a2d8-4c1e-bb2a-39d81079ebf8", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T00:32:40.683004Z", "iopub.status.busy": "2024-09-23T00:32:40.682760Z", "iopub.status.idle": "2024-09-23T00:35:46.084849Z", "shell.execute_reply": "2024-09-23T00:35:46.084378Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.2633305\n" ] }, { "data": { "text/html": [ "
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instancesaucs_aucAccuracyKappaPeriodical holdout AUCPos/Neg ratioG-MeanRecallKappaM
01000.00.6166930.0511330.0520.0009510.0000000.0111220.2036081.000000-85.181818
12000.00.2809670.0092840.027-0.0017420.6166930.0070490.1346360.857143-107.111111
23000.00.2182650.0118510.034-0.0035380.2809670.0111220.1438130.818182-98.931034
34000.00.1377500.0050620.028-0.0058180.2182650.0070490.1175200.571429-107.000000
45000.00.2036470.0073910.041-0.0074210.1377500.0131710.1498190.692308-96.857143
56000.00.2089860.0075550.028-0.0056430.2036470.0131710.1184420.769231-93.064516
67000.00.3005380.0108560.029-0.0036880.2089860.0090820.1314020.777778-94.732394
78000.00.1511960.0074180.044-0.0073610.3005380.0131710.1566840.692308-90.047619
89000.00.2941660.0142790.0370.0004820.1511960.0080650.1709791.000000-93.206522
910000.00.5126640.0165120.026-0.0017280.2941660.0080650.1294570.875000-96.400000
1010100.00.5105220.0170200.029-0.0016840.5126640.0080650.1393030.875000-97.071000
\n", "
" ], "text/plain": [ " instances auc s_auc Accuracy Kappa Periodical holdout AUC \\\n", "0 1000.0 0.616693 0.051133 0.052 0.000951 0.000000 \n", "1 2000.0 0.280967 0.009284 0.027 -0.001742 0.616693 \n", "2 3000.0 0.218265 0.011851 0.034 -0.003538 0.280967 \n", "3 4000.0 0.137750 0.005062 0.028 -0.005818 0.218265 \n", "4 5000.0 0.203647 0.007391 0.041 -0.007421 0.137750 \n", "5 6000.0 0.208986 0.007555 0.028 -0.005643 0.203647 \n", "6 7000.0 0.300538 0.010856 0.029 -0.003688 0.208986 \n", "7 8000.0 0.151196 0.007418 0.044 -0.007361 0.300538 \n", "8 9000.0 0.294166 0.014279 0.037 0.000482 0.151196 \n", "9 10000.0 0.512664 0.016512 0.026 -0.001728 0.294166 \n", "10 10100.0 0.510522 0.017020 0.029 -0.001684 0.512664 \n", "\n", " Pos/Neg ratio G-Mean Recall KappaM \n", "0 0.011122 0.203608 1.000000 -85.181818 \n", "1 0.007049 0.134636 0.857143 -107.111111 \n", "2 0.011122 0.143813 0.818182 -98.931034 \n", "3 0.007049 0.117520 0.571429 -107.000000 \n", "4 0.013171 0.149819 0.692308 -96.857143 \n", "5 0.013171 0.118442 0.769231 -93.064516 \n", "6 0.009082 0.131402 0.777778 -94.732394 \n", "7 0.013171 0.156684 0.692308 -90.047619 \n", "8 0.008065 0.170979 1.000000 -93.206522 \n", "9 0.008065 0.129457 0.875000 -96.400000 \n", "10 0.008065 0.139303 0.875000 -97.071000 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from capymoa.evaluation.visualization import plot_windowed_results\n", "from capymoa.anomaly import OnlineIsolationForest\n", "from capymoa.evaluation import prequential_evaluation_anomaly\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "oif = OnlineIsolationForest(schema=stream_ad.get_schema(), num_trees=10)\n", "\n", "results_oif = prequential_evaluation_anomaly(\n", " stream=stream_ad, learner=oif, window_size=1000\n", ")\n", "\n", "print(f\"AUC: {results_oif.auc()}\")\n", "display(results_oif.windowed.metrics_per_window())\n", "plot_windowed_results(results_oif, metric=\"auc\", save_only=False)" ] }, { "cell_type": "markdown", "id": "2f979d3b-021b-48a0-95c5-7066b92895a4", "metadata": {}, "source": [ "## 4 Comparing algorithms" ] }, { "cell_type": "code", "execution_count": 6, "id": "c5e81e61-7a9f-4f6d-a4df-415a25bf2b03", "metadata": { "execution": { "iopub.execute_input": "2024-09-23T00:35:46.086620Z", "iopub.status.busy": "2024-09-23T00:35:46.086421Z", "iopub.status.idle": "2024-09-23T00:35:46.197186Z", "shell.execute_reply": "2024-09-23T00:35:46.196713Z" } }, "outputs": [ { "data": { "image/png": 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SUzh6JomjZ5JYuedkptv7eNmJDPXPEODTfy/mm/FlndcfLl1ugwSni/jUD+8ZQnTqB/S0EJ12TNat1OkDeV6HaYfdRoCPOSY3wMdBgK+DAG/zg3ugjxf+Po60VsAAb/N7oI+DhZsO8/vmI9mGyp7NInno2qppAdWRrtX0fJDOGJIdhSAY5lTdciEs2HQ42/1PdqyhD+tX6GKrZBiGQc8Lfu/tdhvFUoNsbjAMg0SnO12oTw3zaZdTOJtkvh+cTb0en3piIMOx6U4IpKT+wiU63SQ6kzl2NjlXavXxsl+iC78Dp8vNd//uM8f4XzBvwrPT13E8LpmwQJ/UYSHnhlZkDKWXmtPgwrkFLrxdxvkLzg8byTzk4/zjnBs+k/52Wc6DkKGW9Pd7wZwI6YaaXDiUJMt5EnLYi8htwN0fR1OzTBDB/t4E+3kT7OeVetmLID9vgv29zO3+3gT5mZcDfBxF8j1URKQwUkiXfOftsFMxPJCK4VkHj9OprfD7TmYO8QdOJpCc4mbH0Th2HI3L8vbhgT5poT3Yz4tvlu3N+sPljHX4etsJ8fchPl0rdVqITkrXEp0haKfrGp6cQqIzf8L0uUDtfy5Y+zpSt5sfpP1TvwekfsjOGMDPHXP+tj6OnE2S1aJKOL9vPpLt/oeurapQeQUuXNHB7XZjt9kwIMsVHeTSrnSVjNxms9nwT/19Kxnke9X3ZxgGSSnutBN451v507foZ2zhP3tB6398sitDT4Dk1JOAySluTqQkcyLrt9NL1wa88evmq36OktGRM0kcucLeFw67LS2wnwvx5697n7+eTdgv5mvtcAoRETnPZhhFayqh2NhYQkJCOH36NMHBmZctE8+W4nJz8HRilpPZ7T0Rz8n4/B+7e865SacCUruYZgjV6badD9WOtFargGwCtr+PA18vz5tx+ocV+7INQOr6mjO7j8Xx3bI9LN+4g2Z1qnJPi4oK6Fdp97G4q14lo7ByutwZgv3Z9K35F5wEmPPfQXYdyz7FlwrypV5ESLZzBzjShlScH65xqbkM7Pb0QzEyDhlJm+cgwzCO9PeR3f2kG+JiS1dfFkNFMt5n+m3Z3U/WQ0vs9qzuz8b4hVuZvGR32knj9Ow26FK3DJ3qlCY2wUlsYgpnEp3EJqQQm+gkNtHJmcSUtH2xCc60nhZXK8jXK0PrfIawnynom/uD/M6Hfh+vyxs+kVfShralvo8WhKFtUvQ4nU7mzp3LzTffjLe3t9XlSD66khyqkC6FyplEJ/vSLSX3zbI97L7IBFKBPg4qlQg8H5R9Hfh7e10QqjOH6QsDdoCHhum8pACU+/SHWzzRpcb4P3htlTxfjaSw2XUsjhveXpztsKHfn7r+st9Pzw2viE10ng/u6S5nCPgJqQH/gsu51SPMz9ueruX+XGv9xbvph6QFfe+rWgYx49A2N3abHQOdPBbPo7/1RdeV5FB1d5dCJcjPmzrlvKlTznzhn4hPvuiHy/tbV9KHyxzKj2UCRcR6VzrGXy4tN4dkpB9eUTrYL0f1JKW4OJOYkq6F3pnhcmxCatjPcr/ZEwPOzZlw5V31z/F22LJuub9Eq/7pBOf5ifguGNqmifiujpYJFLGGQroUavpwKSJydTRvQt64q2kkzSqFeUSPJF8vB77FHJQolrM5FFxug7OprfKns2mtP9ean13XfbcBTpfB8bhkjsflzsSIcH4ivorhAXg77GlfPl62dNdtGfedu+51/rpXumN9zl32On/d6yL7vB12vBw2vO32K16dxkpaJlDEOgrpUqjpw6WIyNU7FyjPz5tQRfMm5ILC0iPJYbcREuBNSIA3OYluhmEQl+y6rK755wN+CmdSW/VPxCVfdBb9nEzEl1e87LbzYd/r/IkBr/QBP/Ukwfn9WZ9Q8PG6yD6HHW+vjNe9stmf4URC6vUDJ+O1TKAUCIW1t4dCuhR6+nApInL1KpUI5OnO1Zmbso2bO1fXWErJNTbb+WUQy4Zc+e3f/G0zn/y586IT8d3WoBzJLjdOl4HT5U79Sr2cYl5PzrAv47HJKRn3JbsMUtIdl5yS8XbJqZcvLCnFbZDidpFg3Ty3V81tQP8vltOsYhhBqfMNmN8zzj2Qfp+3w9pJBaVwKsy9PRTSpUjQh0sREZHC6WJD2wCeu7GWZSfmXW4jNdSfOxlw/nqKK/t9WZ9IMLLe53LjTLnwtplPRpw/kZDFiYrUy5dr59E4dmazFG5W/LztaYE9+ILvGYP++YkGLzzGS0Ff0tl1LK5Q9/ZQSBcRERGRAsuTh7Y57DYcdgd+3g7LarhchmGkhfa352/hi6g92fZOaF21BC2rhKUOQzg/seCZ1HkGzn2PT3YB5ycVPHoVww78vR1pkwUGZQjyqZd9vdLtPx/uzwX9Yr7WB/20ZQK32tnota3ILhOY4nKTmOImyekiKcVNYur3pNRt2e5LcZHoNL9HbT+eqafKOTabjakr9hXo4UQK6SIiIiJSoGlo29Wz2Wz4eJlj5fu0qsSUqN3ZHvtKt3qX9X+b4nJzNiklw5wCFwb5M0kZVw/IsC8xhQSnGfQTnC4SnK6rml8gwMdxQQv9hS3457vsB/leeDLAm2J+XjhyOPlfxmUCbaxdsptPl+yyrGu2y22kC8Dnw2+S031BOL7MfSnu1P2utO/p96UP21mtupSbDMNg/8mEPH2MvKaQLiIiIiIFnoa25Z7cWibQy2GneIAPxQN8clyL0+XmbGK6oJ8uwGcK/InpJhZMty/R6QYgPtlFfLKLw7E5D/qBPo5MrfkXttwHX7Av9hLLBNYoHUTpYL8M4Tct2GYRjDNcd7pJzCYYJ6Vrkb6whTolj4Py5fJx2PH1tpurTHjZ8Tt32dueet3c7uvlOL/Py86qvSdZve9Ulq3pNpuN8qH++f9kcpFCuoiIiIiIZOApywR6O+yEBvoQGpjzoJ+ccq5F/3xrfuwF4f7c5dgLgv+545JSzKAfl+wiLtnFwdO58/zcBtw+YWnu3FkO+TjMQOybISBfEJrTB2bvzKE5bX+W+xwZwrdf6ncfR86XJdx1LI4b3l5MVqcaCsMyywrpIiIiIiKSSWFZJtDHy06Ylw9hVxn0swrysVm06scmpHAm6fwJgAOnEkhODfnZ8XbYMoVhnwzB+IKgfEErsxl+szouYzC+cJ+Plz3HXfitlFu9PTyVQrqIiIiIiMhF+HjZCS/mS3gx3yu+7Zu/beaTv3ZmORbbYbMx6NrKDL+pdm6UWaR4Sm+PvKCQLiIiIiIikkcutkyggUGvZhXyuaLCo7D09riQFhwUERERERHJI+e6Zttt5rJ8NgwcNnM5u8LQNVtyn1rSRURERERE8pCWCZQroZAuIiIiIiKSx7RMoFwudXcXERERERER8RAK6SIiIiIiIiIeQiFdRERERERExEMopIuIiIiIiIh4CIV0EREREREREQ+hkC4iIiIiIiLiIRTSRURERERERDyEQrqIiIiIiIiIh1BIFxEREREREfEQCukiIiIiIiIiHkIhXURERERERMRDKKSLiIiIiIiIeAiFdBEREREREREPoZAuIiIiIiIi4iEU0kVEREREREQ8hEK6iIiIiIiIiIdQSBcRERERERHxEArpIiIiIiIiIh5CIV1ERERERETEQyiki4iIiIiIiHgIhXQRERERERERD6GQLiIiIiIiIuIhFNJFREREREREPIRCuoiIiIiIiIiHUEgXERERERER8RAK6SIiIiIiIiIeQiFdRERERERExEMopIuIiIiIiIh4CIV0EREREREREQ+hkC4iIiIiIiLiIRTSRURERERERDyEQrqIiIiIiIiIh1BIFxEREREREfEQCukiIiIiIiIiHkIhXURERERERMRDKKSLiIiIiIiIeAiFdBEREREREREPYXlInzBhApUqVcLPz48WLVrw77//XvT48ePHU7NmTfz9/YmMjOTJJ58kMTExn6oVERERERERyTuWhvSpU6cybNgwRo0axapVq2jQoAFdunThyJEjWR7/7bffMnz4cEaNGsWmTZv4/PPPmTp1Ki+88EI+Vy4iIiIiIiKS+ywN6ePGjWPQoEH069ePOnXq8NFHHxEQEMCkSZOyPD4qKoo2bdrQu3dvKlWqROfOnbnnnnsu2fouIiIiIiIiUhB4WfXAycnJrFy5kueffz5tm91up2PHjkRHR2d5m9atW/P111/z77//0rx5c3bu3MncuXPp06dPto+TlJREUlJS2vXY2FgAnE4nTqczl56NFATnft76uYun0mtUPJ1eo+Lp9BoVT6fXaNF1JT9zy0L6sWPHcLlclC5dOsP20qVLs3nz5ixv07t3b44dO0bbtm0xDIOUlBQefvjhi3Z3f/311xkzZkym7fPnzycgIODqnoQUSAsWLLC6BJGL0mtUPJ1eo+Lp9BoVT6fXaNETHx9/2cdaFtJzYvHixbz22mt8+OGHtGjRgu3btzNkyBBefvllRowYkeVtnn/+eYYNG5Z2PTY2lsjISDp37kxwcHB+lS4ewOl0smDBAjp16oS3t7fV5YhkoteoeDq9RsXT6TUqnk6v0aLrXI/uy2FZSC9RogQOh4PDhw9n2H748GHKlCmT5W1GjBhBnz59GDhwIAD169cnLi6OBx98kBdffBG7PfMQe19fX3x9fTNt9/b21i9GEaWfvXg6vUbF0+k1Kp5Or1HxdHqNFj1X8vO2bOI4Hx8fmjRpwqJFi9K2ud1uFi1aRKtWrbK8TXx8fKYg7nA4ADAMI++KFREREREREckHlnZ3HzZsGH379qVp06Y0b96c8ePHExcXR79+/QC4//77iYiI4PXXXwega9eujBs3jkaNGqV1dx8xYgRdu3ZNC+siIiIiIiIiBZWlIb1nz54cPXqUkSNHcujQIRo2bMhvv/2WNpnc3r17M7Scv/TSS9hsNl566SUOHDhAyZIl6dq1K6+++qpVT0FEREREREQk11g+cdzgwYMZPHhwlvsWL16c4bqXlxejRo1i1KhR+VCZiIiIiIiISP6ybEy6iIiIiIiIiGSkkC4iIiIiIiLiIRTSRURERERERDyEQrqIiIiIiIiIh1BIFxEREREREfEQCukiIiIiIiIiHkIhXURERERERMRDKKSLiIiIiIiIeAiFdBEREREREREPoZAuIiIiIiIi4iEU0kVEREREREQ8hEK6iIiIiIiIiIdQSBcRERERERHxEArpIiIiIiIiIh5CIV1ERERERETEQyiki4iIiIiIiHgIhXQRERERERERD6GQLiIiIiIiIuIhFNJFREREREREPIRCuoiIiIiIiIiHUEgXERERERER8RAK6SIiIiIiIiIeQiFdRERERERExEMopIuIiIiIiIh4CIV0EREREREREQ+hkC4iIiIiIiLiIRTSRURERERERDyEQrqIiIiIiIiIh1BIFxEREREREfEQCukiIiIiIiIiHkIhXURERERERMRDKKSLiIiIiIiIeAiFdBEREREREREPoZAuIiIiIiIi4iEU0kVEREREREQ8hEK6iIiIiIiIiIdQSBcRERERERHxEArpIiIiIiIiIh5CIV1ERERERETEQyiki4iIiIiIiHgIhXQRERERERERD6GQLiIiIiIiIuIhFNJFREREREREPIRCuoiIiIiIiIiHUEgXERERERER8RAK6SIiIiIiIiIeQiFdRERERERExEMopIuIiIiIiIh4CIV0EREREREREQ+hkC4iIiIiIiLiIRTSRURERERERDyEQrqIiIiIiIiIh1BIFxEREREREfEQCukiIiIiIiIiHkIhXURERERERMRDKKSLiIiIiIiIeAiFdBEREREREREPoZAuIiIiIiIi4iEU0kVEREREREQ8hJfVBUjW9sTuYda2WcScjaFcsXLcUf0OKgZXtLosERERERERyUMK6R5o1rZZjI4ejQ0bBgY2bEzeMJkxrcfQrVo3q8sTkbxwfAf2lV/QZNcy7H+shCZ9Ibyq1VWJiIiISD5Td3cPsyd2D6OjR+M23LgMV4bvo6JGsTd2r9UlikhuW/01fNAUe/QHlDu1DHv0B/BBU1j9jdWViYiIiEg+U0j3MLO2zcKGLct9NmzM3DYznysSkTx1fAf89DgYbmyGCzsGNsMFhht+GmzuFxEREZEiQyHdw8ScjcHAyHKfgUHM2Zh8rkhE8tTqryCbE3NgS90vIiIiIkWFQrqHKVes3EVb0ssVK5fPFYlInjq1F7I5MYfhggMrwchmv4iIiIgUOgrpHuaO6ndctCW9e/Xu+VyRiOQp70Cza3t2dv0FE5pD9ASIP5F/dYmIiIiIJSwP6RMmTKBSpUr4+fnRokUL/v3334sef+rUKR577DHKli2Lr68vNWrUYO7cuflUbd6rGFyRMa3HYLfZcdgcGVrVn2n6DBWCK1hYnYjkqh2/w/oZFznABl7+cGwrzHsB3q4FMx+Evf+odV1ERESkkLI0pE+dOpVhw4YxatQoVq1aRYMGDejSpQtHjhzJ8vjk5GQ6derE7t27mT59Olu2bOHTTz8lIiIinyvPW92qdePnbj/zQN0H6FypM2F+YQCsOrLK4spEJNcs/xy+7gHOOAirCjY7hs2BGxuGzQE2O9w+AZ7eCreMgzL1wZUE66bCpC7wYStY9jEknLL6mYiIiIhILrJ0nfRx48YxaNAg+vXrB8BHH33EnDlzmDRpEsOHD890/KRJkzhx4gRRUVF4e3sDUKlSpfwsOd9UCK7A0CZDAdh8YjP3/HIPC/YsYN7ueXSp1MXa4kQk59wumD8C/plgXr+mJ9z2Ppzej3vlFxzcuIyydVrgSL9OerMB0LQ/HFgFKyaZre9HN8Gvz8KCUVCvu7k/ognYspuETkREREQKAstCenJyMitXruT5559P22a32+nYsSPR0dFZ3uann36iVatWPPbYY/z444+ULFmS3r1789xzz+FwOLK8TVJSEklJSWnXY2NjAXA6nTidzlx8RnmnalBV+tXtx6frP+XVf16lUXgjQv1CrS6rwDn38y4oP3cphJLP4pj9EPZt8wBwXTscd9unwLBBcAWcbYezMmEBndp2Mk9EXvhaLX0N3DIebhiD/b8fsK/+AtvRTbDmG1jzDUapergb34+73l3gG5T/z08KPb2PiqfTa1Q8nV6jRdeV/MxthmHNwMaYmBgiIiKIioqiVatWadufffZZ/vzzT5YtW5bpNrVq1WL37t3ce++9PProo2zfvp1HH32UJ554glGjRmX5OKNHj2bMmDGZtn/77bcEBATk3hPKYylGChPPTOSw+zD1vevTM7Cn1SWJyBXwSz5Oy53vEJKwF5fNm1UVBxET2vLq7tQwCI3bTuVjv1Pu1L84DPPNP8Xuy/7Qluwp0Z5TAVVyoXoRERERuRrx8fH07t2b06dPExwcfNFjC1RIr1GjBomJiezatSut5XzcuHG89dZbHDx4MMvHyaolPTIykmPHjl3yP8fTbDyxkb7z+uIyXPxfu/+jQ2QHq0sqUJxOJwsWLKBTp05pwyVE8sXBNXhNuxfb2cMYgSVx3fUVRkTTTIdd1Ws04ST2/6ZiX/UFtuPb0ja7yzTA3bgvRt3u4FPsap+JFHF6HxVPp9eoeDq9Rouu2NhYSpQocVkh3bLu7iVKlMDhcHD48OEM2w8fPkyZMmWyvE3ZsmXx9vbO0LW9du3aHDp0iOTkZHx8fDLdxtfXF19f30zbvb29C9wvRoPSDehXrx+f/fcZry9/nRblWlDcr7jVZRU4BfFnLwXYxp/MGdlTEqBkbWy9p+IVWvGiN8nRa9S7FLR5HFoPhj1RsHIybPwR+6G12OcOg4Wj4Jq7oEk/KHvNVTwhEb2PiufTa1Q8nV6jRc+V/Lwtm93dx8eHJk2asGjRorRtbrebRYsWZWhZT69NmzZs374dt/v8msJbt26lbNmyWQb0wujhBg9TJaQKxxOP8+byN60uR0SyYxiw5B2Y1scM6NU6woD5cImAftVsNqjUBu78DIZthk4vm7PHJ58xJ537uB182gFWfQXJcXlbi4iIiIhcMUuXYBs2bBiffvopX3zxBZs2beKRRx4hLi4ubbb3+++/P8PEco888ggnTpxgyJAhbN26lTlz5vDaa6/x2GOPWfUU8p2vw5eX27yM3Wbnl52/sHjfYqtLEpELpSTDT4Nh4WjzerNBcM9U8MvnITaB4dDmCXh8Jdz/E9S9A+zecGClWd/btWHuM3B4Y/7WJSIiIiLZylF399OnT+NyuQgLC8uw/cSJE3h5eV32WO+ePXty9OhRRo4cyaFDh2jYsCG//fYbpUuXBmDv3r3Y7efPI0RGRjJv3jyefPJJrrnmGiIiIhgyZAjPPfdcTp5GgXVNyWvoW6cvkzdMZmz0WBqVakSIb4jVZYkIQPwJmHY/7P7bXOv8xjegxUPW1mSzQZXrzK+zR2D117DqCzi5G/79xPyKbGF2ha/bDbz9ra1XREREpAjLUUt6r169+P777zNtnzZtGr169bqi+xo8eDB79uwhKSmJZcuW0aJFi7R9ixcvZsqUKRmOb9WqFf/88w+JiYns2LGDF154Idvl1wqzRxs+SqXgShxNOMpby9+yuhwRATi+Az7vZAZ0n2Jm67nVAf1CxUpBu2Hw+Gq4bybU7go2B+xbBrMfhrdrwW/Pw9GtVlcqIiIiUiTlKKQvW7aM9u3bZ9p+/fXXZzkru+Q+Py8/Xm7zMjZs/LjjR/7e/7fVJYkUbbuXwGc3wPHtEFwe+s+DGp2trip7djtUuwF6fg3DNkKHlyCkAiSegn8+hAnNYPLNsO4HSEm65N2JiIiISO7IUUhPSkoiJSUl03an00lCQsJVFyWXp2Gphtxb+14AxkSP4UzyGYsrEimi1nwLX3aDhJMQ0QQG/Q5l6lld1eULKgPXPgND1kDvH6DmzWZX/T1LYeZAs3V93otwbLvVlYqIiIgUejkK6c2bN+eTTz7JtP2jjz6iSZMmV12UXL4nGj9BZFAkh+MP8/aKt60uR6Rocbth0ViY/Qi4nVCnGzwwB4JKW11ZztgdZuv/Pd/B0PVw/fMQHAEJJyD6A/igCXzRFdbPNCfHExEREZFcl6OJ41555RU6duzI2rVrueGGGwBYtGgRy5cvZ/78+blaoFycv5c/Y1uPpd+8fszYNoPOlTrTulxrq8sSKfyS480x3Bt/NK+3exrav2h2Iy8MQiLg+uHm89q+wFy+bdsC2PWX+RVYEhreC00egLDKVlcrIiIiUmjk6NNkmzZtiI6OJjIykmnTpvHzzz9TrVo11q1bR7t27XK7RrmEpmWack+tewAYHTWaOKfWPhbJU2cOw5RbzIBu94ZuE+GGEYUnoKfn8IKaN8G9P8DQdWa3+GJlIO4oLB0P7zWEr+6AjT+By2l1tSIiIiIFXo5a0gEaNmzIN998k5u1yFUY2ngof+3/iwNnD/DOynd4qeVLVpckUjgdWg/f9oTY/eAfCj2/gUptrK4qfxSvYE4wd91zsPU3s3V9x+/nv4qVgUb3QZO+5rEiIiIicsVyFNL37t170f0VKujDWX4L8A5gTOsxDJw/kKlbptK5Ymeal21udVkihcvW+TC9HySfhfBq0HsahFe1uqr85/A2l26r3RVO7DLXXF/9NZw9BH//H/z9NlTrCE37Q/XOZmu8iIiIiFyWHH1yqlSpEjabLdv9LpcrxwVJzrUo24K7atzFD1t/YGTUSGbeNpMA7wCryxIp+AwDln0M854Hww2V2sHdX0JAmNWVWS+sMnQcDde/AFvmwIrJsOtPcxz79gUQVA4a329+hURYXa2IiIiIx8tRSF+9enWG606nk9WrVzNu3DheffXVXClMcmZYk2EsObCEA2cP8O6qd3m+xfNWlyRSsLlS4LfnYPln5vVGfeCWceDlY21dnsbLB+reYX4d3wErJ5tL052JgT/fgL/+BzVuhCb9zPXZ7Q6rKxYRERHxSDkK6Q0aNMi0rWnTppQrV4633nqL7t27X3VhkjPFfIoxutVoHlr4EN9u/pbOlTrTpLSWxRPJkcTTML0/bF8I2KDTGGj9BFykJ5FgDgHo/Ap0GAGbfjZb1/csgS1zza+QSGjc1xy/HlzW6mpFREREPEquTkVcs2ZNli9fnpt3KTnQOqI13aubJ0pGLh1JQkqCxRWJFEAn98DnXcyA7uUPPb+CNkMU0K+Ely/U7wH95sBj/0LLR8GvOJzeB3+8Au/Uhe/vNf+P3W6rqxURERHxCDkK6bGxsRm+Tp8+zebNm3nppZeoXr16btcoOfB006cpFVCKvWf28sHqD6wuR6Rg2bccPrsBjm4yZyzv/6s5SZrkXMmacOPr8NRmuONjiGwJhgs2/wJf3wnvN4K/x8HZI1ZXKiIiImKpHIX04sWLExoamvYVFhZGnTp1iI6OZuLEibldo+RAkE8Qo1qNAuCrjV+x5sgaawsSKSj+m26ugR53FMrUh0G/Q7lGVldVeHj7Q4NeMGAePBINzR8C3xA4uRsWjYFxdWBaX9i5WK3rIiIiUiTlaEz6H3/8keG63W6nZMmSVKtWDS8vLbXjKa4tfy23Vb2Nn3b8xIilI/ih6w/4eflZXZaIZzIM+PN/sPg183qNm+DOz8C3mLV1FWal68DN/zNnh98w0xy7fmAFbJxtfoVVMSeaa3gvBIZbXKyIiIhI/shRS/p1113HddddR8mSJUlISODkyZNs3bqVuXPn8tNPP+V2jXIVnm32LCX9S7I7djcfrv3Q6nJEPFNKEsx66HxAbzUYen2jgJ5ffALMSeQGLYKHl0DTAeATBCd2woIRMK4WTB8Au5eYJ1NERERECrEcNXvv3LmT7t27s27dOmw2G0bqh6Zza6drnXTPEeIbwoiWI3jijyf4YsMXdKrQifol61tdVv47vgP7yi9osmsZ9j9WQpO+5gzUInHHzMnL9v0DNgfc8n/QtL/VVRVdZerDreOg01hYP91sXT+4xry8fjqUqAFNHoAG92idehERESmUctSSPmTIECpVqsSRI0cICAhg/fr1/PXXXzRt2pTFixfncolytdpXaM/NlW/GbbgZsXQEya5kq0vKX6u/hg+aYo/+gHKnlmGP/gA+aAqrv7G6MrHa0a3mBHH7/jHHRd83XQHdU/gWM8P4Q3/Cg4vNJdu8A+HYVpj3ArxdC2Y+BHv/Ueu6iIiIFCo5CunR0dGMHTuWEiVKYLfbcTgctG3bltdff50nnngit2uUXPB88+cJ8wtjx+kdfLT2I6vLyT/Hd8BPj4Phxma4sGNgM1xguOGnweZ+KZp2/AGfdTQnLCteEQYugKodrK5KslKuEdz2njkz/C3joHR9cCXBuu9hUheY2BqWfQwJpzLe7vgOWDjaXOt+4Wj9vouIiEiBkKOQ7nK5CAoKAqBEiRLExMQAULFiRbZs2ZJ71UmuKe5XnBEtRwAwaf0kNhzfYHFF+WT1V0B261rbUvdLkbNisrnsV9JpcymwQb+bS4SJZ/MLhmYD4OG/YeAiaHifuYb9kY3w67Nm6/rsR2H/Clj1ldljZul7sGGW+V09aERERKQAyFFIr1evHmvXrgWgRYsW/O9//2Pp0qWMHTuWKlWq5GqBkns6VuxIl0pdcBkuRiwdgdPltLqkvHdqL5BdV1g3nNyTn9WI1dwumPci/DLUXKO7/t1w/48QWMLqyuRK2GxQvil0m2C2rt/0FpSsDSkJsOYbcwjDT4PNHjPnes6oB42IiIgUEDkK6S+99BLu1PVrx44dy65du2jXrh1z587lvffey9UCJXe90OIFQn1D2XZyG5/+96nV5eS9oLLZj1c1DNj5hzlmPaWIjdMvipLOwtT7IPoD8/r1L0D3T8BbyxIWaP7FocWD8Gg09J8H1/QyJwDMlnrQiIiIiGfLUUjv0qUL3bt3B6BatWps3ryZY8eOceTIETp00JhOTxbmF8YLLV4A4NN1n7LlRCEenpAYC3uiyL4lHUg4CT8+Bu81hOgJZpCTwuf0AZh8I2yZCw5fuPNzuP45s0VWCgebDSq0hO4fQ82byX6Yi5Haw0ZERETEM+UopGclLCwsbQk28WxdKnXhhgo3kGKkmN3e3YWw23v8CfjydohZBV5+YLNh2By4Mb9js8PNb0Onl6FYGYg9YM4YPb4e/PE6xB23+hlIbolZbXZ/PvQfBJSAB36B+j2srkryUolq5u94Vgw3xB0FZ2L+1iQiIkXentg9vL/mfabGTeX9Ne+zJ1bDLiVruRbSpeCw2Wy81PIlQnxD2HRiE5P+m2R1SbnrzGGYcosZ0P3DzC6wg1fibjWYmOItcLcaDINXQPOB0OYJGLoOur4LYVXMlvU/3zDD+q/D4dQ+q5+NXI1Nv8Dkm+HMQShZCwYtgsjmVlclea1RHy7ag2bXX/B+Y1j1JbhS8q0sEREpumZtm8Vts2/jy01fst65ni83fclts29j9vbZVpdWoO2J3cP4leN59s9nGb9yfKE58eFldQFijRL+JRjefDjP//08H637iA4VOlA9tLrVZV29U/vMFvQTO8wW8vt/hFK1AHC3H8HKhLnc3P5mHN7e52/j5Wuux9yoD2z6CZa8AwfXwrKJsPxTc3KxNkPS7kcKAMOAqPdgwSjAMJdWu2sK+IVYXZnkh/CqcNsH5iRx2DADe+r3BvfAzsVm75mfHjdnfe/wEtS5XcMfREQudHyHOY/Hqb1QvIL5WSm8qtVVFTh7YvcwOno0bsOdts1luAAYuXQk/l7+RBSLwGaz4bA5sGF+t9vs57fZzm/L8IUduz31e+q2c8efu15Yzdo2i9HRo7Fhw8DAho3JGyYzpvUYulXrZnV5V0UhvQi7pfItzNs1j8X7FzNi6Qi+vvlrvOwF+CVxfIcZ0E/vg5AK0PdHs3X8ctkdUPcOqNPNnFBuyTtmi9vab82vmrdA2ychslmePQXJBS4nzBlmtpICNBsIN74JjgL82pYr1+hec4x6Vh8unYmw/DP4+204vg1+6AtlG8INI80TOgrrIiLmxLo/PU6Gk51L3zVPgja61+LiCpZZ22Zhy2auFAODp/98Ok8fP32gd9jPnwS48ATAuWCfdqIgi2MznSS48ITBxfbbLjiRkO4xMu27sLbUY889RmxSLF9t+goji55zo6JG0bhUYyoEV8jT/9e8pE+tRZjNZmNEqxGs/HElG45v4IsNXzCg/gCry8qZwxvgy24QdwTCq5st6CERObsvm838oF61A+xfCUvfMbtNb5ljflVsa4b1ajfow7ynSTgJ0+43T67Y7NDldWjxkH5ORVV4Veg4OvN2bz9oPRga329OGBn9ARxcA193h0rtzNuUb5rPxYqIeJDjO8yAnq7lN81Pg82ToGpRv2wxZ2MwslttCPD38ifUNxSX4cIwDPM75ne34U77StuX7pjLce725pXceEaezYaNmdtmMrTJUKtLyTGF9CKuVEApnm32LCOWjuDDNR/SPrI9VYoXsLXuD6yEr+80A1rp+tBnFhQrmTv3Xb4J9Pwajm6FqHdh7VTYs8T8Kl0f2g41W97VSmu94zvg255my6hPMegxCWp0sboq8WR+wdD+eWg+yGxVX/4Z7P7bnGiw1q1mN/hSta2uUkQk9xkGJMdB4inz81PCue8nzW2bfs5+CdtzS1lmdRJUslQqoBTubNKxw+agd63eOQqUhmGYARx3hjCf/itDqL/guxs3brd5+0z7LryvdMde7L6zul22+7I41uU+f4LiYve97OAy9p/dn/X/CwYxZ2Ou+P/TkyhZCLdXvZ15u+ex5MASRkSN4Msbv8Rhv9g6wx5k91IzmCWfgYimcN908A/N/ccpWQNun2Curf3Ph7BiMhz+D2YMgN9fMSega9Bba25bZU8UfH8vJJyA4PLQeyqUqWd1VVJQBJaAG1+Hlo/A4jfN4S2bfzGX7LumF1w/HEIrWl2liEhmrpTMQTvtehbhO/22HK/uo6Usr0S8M541R9Zku9/AoHv17jm673NdwR0UkM/tuWj8yvFM2TAlbWx/ejZslCtWzoKqco9CumCz2RjVahR3/HgH646u4+tNX9O3bl+ry7q0bQth6n2QkmB2Ub3nO/ANytvHDImALq9Cu6fg309h2Udwchf88qS5dFurR6Fpf01Qlp/WfGd2yXM7oVxj83UQVMbqqqQgKl4Buk0wT7r9/rLZkrT2W/jvB2g2ANo9nXu9dEREzjEMSD578UCdKXyfNr8nn7m6x7Z7m40baV/Fze9HN0PMGrJcKcNwm40kG2ZD7a7mnD6SpXhnPI8teoy1x9bi4/DB6XJit9lxG27sNjsGBmNajynQY6etckf1O5i8YXKW+67mxIensBkXGyBRCMXGxhISEsLp06cJDg62uhyPMmPrDEZHj8bX4cv0rtOpFFLJ6pKyt/FHmD7ADGbVu8DdX4C3/0Vv4nQ6mTt3LjfffDPe6Wd3vxrJcbDqK4h6H2JTu9z4Bpsf6Fs8AkGlc+dxJDO3G/54Ff7+P/N67dvgjo/BJ8Dauq5CnrxGJef2r4RFY2DXn+Z170Bo9Zg5nr2InojTa1Q82vEduFZ+wcGNyyhbpwWOJn3zd9y0y3kFQfuCbe6rXA7SNyQ1YBc/H7j9imcM3hm2pW73Dsh63pbjO+CDplmPSU8vtBK0fMycSM4n8OqeQyET54zj0YWPsurIKop5F+OjTh8R6hvK9C3TWbFtBU2rN6VHzR4K6Fdh9vbZjIoalWF293MnPjxxdvcryaEK6ZLGMAweWvAQ0QejaVyqMZNvnOyZyzas+Q5+fNT8w1H3DrjjE/DyueTN8vTDpcsJ/02HpePNs88ADl/zj1brx69slnm5NGcCzH4ENswyr7cdBh1GgN0DX69XQAHIQ+1cDAvHQMwq87p/qPmaaz7okicHCxu9RsVjpc5EbmDDMNzYbHZsGFc+E7lhQNKZ7LuNZ9p26vy25LNX9xwcPhlbtS8nZPuHmo0DeTE3zupvsl7Kssvr5vCyfz81v4NZR7OB0PxBKFYq92spYM4mn+XhhQ+z9uhagnyC+KTTJ9QrYQ7D0/to7tobu5eZ22YSczaGcsXK0b16d4898aGQfhEK6RcXczaGO368g/iUeIY3H869tT1siY1/P4W5qctUNLoPur532d2s8uVN0e2Grb/BknGwf7m5zWaHut3NSebK1M+bxy1KzhyG7+8xJwy0e0PXdwvNUjD6w+3BDMPs/v77K3Bsi7ktqBxc/xw0vK/ITB6p16h4pIu1+trscOdnZk+Yy23hzmKM6xXxC7mykH1um7e/561GcrF10pPjYc035ioZJ3eZ2xw+0KAXtBoMJWtaV7eFYpNjeWTBI6w7to5gn2A+6fwJdcPrpu3X+2jRdSU5tGh8qpDLVq5YOZ5q+hQv//My41eO59qIa4kMjrS6LNOS8bBwlHm5xcPmmVxPazm126HWzVDzJnMysyXvwPYFsH66+VWtk7l8W8XWnveHuCA4vMGcKPD0PvMDTc+voVJbq6uSosBmgzq3Qc2bYd33sPgN83X48xBzuEv7F82VHjztPUmkKFj9FWSzBjWGG6b3v/L7dPhmDtNZBu/i4Jc+cIcUrjHa2S1lCebwsuaDzLl4Ns+BqPfMBopVX5pfNW40exNWbFNkPvOcTjrNQwseYsPxDRT3Lc6nnT+lVlgtq8uSAkghXTLpUaMH83bP499D/zIyaiSfd/nc2m7vhmG2Xp0be9zuaXNpJE9+w7fZoFIb8+vQf+YJhg0zzcC+fQGUb26G9Ro36kP95dq2AH7oZ06SE1YV7v1Ba7RK/nN4mb146t8FKybBX2/B8e0wvR+UeQc6joKqN3j2+5NIYZGSDDsWmcPNLtb67R1ortJyqZbs9NuK2FCWq2J3mCcx69wGe5eZYX3zHLNn4dbfoFwjM6zXvr1Q9zo6lXiKBxc8yKYTmwj1DeXTzp9SM6xo9iaQq1d4f1Mkx+w2O6Nbj+bOn+5kxeEVTNsyjV61ellTjNsN8543Z1EH82xu2yetqSWnytSHHp9Dhxch6gNz3Nz+f80u2yVrQZuhUL8HONTlKVvLPobfhpstIhXbQs+vICDM6qqkKPPyNZdsa3QfRH9otqYfWgdf32m+RjuOgsjmVlcpUvi43bA3ylx1YcNss5v6xdgc0OJBremdXyq0gArfmN3koyeY3eFjVpu9GUIqmKvgNOoDvsWsrjRXnUw8yaD5g9hycgthfmF81vkzqodWt7osKcDUhCdZigyKZEjjIQCMWzmOA2cP5H8Rbhf8/Pj5gH7z/xW8gJ5eWBW4dRwM/c98Hr7B5iRzsx+GdxvCPx+Zs8XLea4UmPsM/PqsGdAb3gd9Zimgi+fwDTLHpQ9Za47BdPjCniXweSf47h44vNHqCkUKPsMwlwOb9yK8Uxem3AIrp5gBPbAUNLjHHHue9Y3NUCj5K7yq+ZnnyQ1w/QsQUAJO7zVPuL9TBxaOhtiDVleZK44nHGfA/AFsObmFEv4lmNxlsgK6XDWFdMnWPbXuoXGpxiSkJDAqahT5OsdgSjLMGGC2Otvs0O0jc9xTYRBU2jyj/+R683tgKXP5tt+eg3fqweI3If6E1VVaLzEWvusF/35iXu84Gm7/4LJm8hfJd4Hh0OVVeGKVGQhsdtgyFya2hpkPwcndVlcoUvAc227O//BBM/jkOoj+AM7EmMuNNboP7v8RntoMd3xkzuJus2PYHLixYdgc5u/hbR9oaJSVAkuYJzKfXA+3jofwapB42pyzZ3x9mP0oHNlkdZU5dizhGAPmDWDbyW2U9C/JpC6TqFJcK/rI1dPs7nJRe2L30OOnHiS6EhnZaiR31bgr7x/UmQDT+sK2eebs3T0+hzq3X/3deupsms5EWPstLH33/Ad570Bo8oC5JnNIhJXVWePUXnOCuCMbwcsfun+cK68BT+exr1G5cke3wh+vwMYfzet2b2jaD659pkAvT6TXqOS52BhYP9OcbDVm9fntXn7mPC71e5iTsHr7Zb6t1euky6W53bD1V3OI0N7o89urdTLHrVe+tsDM6XE0/igD5g9g1+ldlAooxaQuk6gYXPGSt9P7aNGl2d0l11QMrsjjjR7nrRVv8faKt2lbri1li5XNuwdMOmu2nu7+2/yD3PMbqN4x7x7PE3j7mTOjNrofNv1onl0+9B/8M8FsRb6mJ7QZYk56UxTsX2G+BuKOQrHScM/3ENHY6qpErkzJGnD3l3BgFSwaCzv/MH+fV38NLR81P4z6F7e6ShHPkHASNv5kjjPfvQRzTW7M8eRVrjcnaqx1C/hdonElvCru9iNYmTCXm9vfjEMByPPY7ebPstYtsG85RL9vLm95bmLdMtdA6yegbjePnqvncNxhBs4fyO7Y3ZQJLMOkzpM8ZzUkKRTU3V0u6d7a99KgZAPinHGMiR6Td93eE07CV93MgO4TBPfNLPwBPT2HF9S7Ex76G+6bAZXagdsJa76GCc1h6n3m2uCF2fqZ5ljDuKNQuj4M+l0BXQq2iMZw/2y4/yeIaALOeHOlincbmKs+JMdbXaGINZLjYf0Mc+6Gt6rDz0+Yf/8xILKFOQ/NU1ugz0xoeM+lA7oUPJHNzJOZj6+E5g+Cd4A5AefMgeZcPVEfmEPfPMyhuEP0m9eP3bG7KRdYjsldJiugS65TSJdLctgdjG0zFh+7D0tjljJ7++zcf5CzR+GLrub6mn7Foe+P5vJlRZHNBtU6wgO/wICFUOtWwDDPNH/awfx/2vG7OZFOYWEY5lJW0/tBSqLZpbH/rxBS3urKRHJHletg4CKzd1DJWuaEVwtHwfuNzaXcXE6rKxTJey4nbJ0PMx+Et6qZM35vmWuekC5VF24YBUPWwYD55jw0xUpaXbHkh7AqcPNb5iRzHV46P1fP/NSJAuePgNMWTGCchZizMTzw2wPsO7OPiGIRTL5xMuWD9FlFcp9CulyWKiFVeKzRYwC8tfwtDscdzr07P30AptxsdvEOLAX95potTmKeZe71DTy6DBreC3Yv2PUXfHWHOYnOhlnmLPgFWUoSzH4Efn/FvN7yMej1rTlrtkhhYrNB7VvhkSjoNtFcjujMQfjlSbO3zH/TzfGaIoWJ2w17ouGXYfB/NeDbu2DdVHDGQfEK0HaY+TvxaBS0Gwahlx7TK4VUQJg5b8fQ/+C296FEDUiKNdddf/cacxLOQ/9ZVt7+M/vp91s/Dpw9QGRQJFNunEK5YuUsq0cKN4V0uWz317mf+iXqc8Z5hrH/jM2dbu8ndsHkG+HYVgguD/1+hdJ1r/5+C5tStaDbh/DEGnM8q3cAHFwLPzwAHzQ1l6JJSbK4yByIOw5fdoO135ljD28ZBze+BnaH1ZWJ5B27Axr2hsdXwI1vmksTndhprmjxybWwbUHh6ikjRY9hmGFqwUgzXE2+EVZ8DgknILCk2bV5wAKz1bzjKP3dl4y8/aDx/WYDxT1ToWJbcKfAuu/ho7ZmQ0U+9yjcF7uP/vP6ExMXQ8XgikzuMpkygWXy7fGl6FFIl8vmZffi5TYv42335q/9f/HLzl+u7g6PbIZJN5ozeYdVMbs3l6iWO8UWVsUj4cbXzS5h1w0H/1Dzw/3PQ2D8NeYM8R44fitLR7fCZzfA3ihzzfh7f4BmA6yuSiT/ePlCy4dhyBpo/6L5e3DoP/imB0y+Gfb+Y3WFIlfmxC5z6NKHLc0wtfRdOL3PnGemQW9zrplhm82uzZHNC8ws3mIRux1q3gj95phz1NTtbi6rt+N3M6h/1BbWfm8u25uH9sTuod+8fhyMO0jlkMpM7jKZ0oGl8/QxRRTS5YpULV6VRxo8AsAb/77B0fijObujmDVmF/ezh6BUHbMFvXiF3Cu0sAsIg/bPw9D10OV1CI4w/y8XjDTXWl801hzn76l2/gmfd4STu6B4RbNFpdoNVlclYg3fILjuWRiy1pz13eFrnrya1MVcivDQeqsrFMnemcPwz0fw6Q3wXkNz6NLRzeDwgdpdzYnBntkGd0w03+cdWlhIciCiCdw1GZ5YDS0eMZeqPbweZj1kTsS59F1z/fVctuv0Lvr/1p/D8YepGlKVSV0mUTJAcyVI3lNIlyv2QL0HqB1Wm9jkWF7555Ur7/a+9x9z8rP441CuETwwB4LUZShHfItBq0fNbvC3f5g6fus0/P02jK8Hc54+v/a6p1j5BXzd3fxjWr65OZlWqVpWVyVivYAw6PyK+SG0cV9zCMjW38zWohmDzFZKEU+QeNpcTvDL22FcLfjtOTiwwmzlrHI93D4Bnt4GPb+GOreDt7/VFUthEVoJbnoDhm0wJxosVgbOxJiNFOPqwrwX4dS+XHmonad20n9ef44kHKFa8Wp83uVzSviXyJX7FrkUhXS5Yt52b15u8zJedi9+3/c7v+3+7fJvvOMPs4tSUixUaG0uSxQQlnfFFhVePtDoXnP8Vs9vzDPOKYmw/FN4r7H5Af/wBmtrdLvNGVp/fsIcW1avB/T9WbP3ilwoJAJuew8e+xfq3gEY8N80c/6JOU/BmUNWVyhFkTMBNsw2lwN9qzr8+BjsXAyGGyKamvMrDNsM9/8Ije4D/+IWFyyFmn+oOdHg0HVmI0XJ2pB8BqI/MFvWZww05+7Joe0nt9NvXj+OJRyjZmhNJnWZRLh/eC4+AZGLU0iXHKkZVpMHr3kQgNeWvcaxhGOXvtHmOfDt3eY6wVVvMNcC17qnuctuN2ePHrgI+v5i/j8bLvMD/sTW8M3d5iy7+S05Dqb1MWdoBbj+ebjzM3NyGBHJWolqcNcUePBP83fZnQLLPzPXD144GhJOWlygFHquFNi+CGY9YgbzH/qay4G6kqBETXO5rCdWw6BF5vwKQRqnK/nMyze1kSIa7p0Bla9L/dzzA3x8rdlz8won49xyYgv95/XnROIJaofV5rPOnxHqF5qHT0IkMw0MkhwbWH8gi/YsYsvJLby27DXGXT8u+4P/m26ui2q4zDFqd35uvrFK3rDZoHI78+vgWlgyHjbOhm3zzK/IltD2SajRJe8n7omNge96mXU4fMwz3tfclbePKVKYlGsIfWbCrr9h0RjYvxyWvGOur95mKLR4GHwCrK5SCgvDMF9j//1gLvMZl25+k5BIqHcn1O8Bpetp4jfxHDYbVO9ofsWsMVvU1880l63d9ZfZ0t76cfO1e5HPn5tPbGbQ/EGcSjpF3fC6fNzpY0J8Q/LveYikUku65Fhat3ebFwv2LGD+7vlZH7hyitntyHDBNb2gxxQF9PxUtoE52crgFdCknxmU9/0D3/U0W9fXTTNbS/LCwbXwaQfze0AJs3VfAV0kZyq3MydZ7PWdOeFm4mkztL/XyGxhdzmtrlAKssMbYeEYc8m0zzvBv5+YAT0gHJoOgH6/mUumdRoDZeoroIvnKtfQ7K03ZC20Ggw+xeDoJvjxUXMlnL/HZdkTaePxjQyYN4BTSaeoX6I+n3T+RAFdLKOQLleldnht+tfvD8Cry17lZOIFb3pRH5jLg2GYf+S7TdTMrlYJrwpdx8PQ/6DNEHNJnCMbYeYgeL8R/PspJMfn3uNtnmsusXfmIJSsZXaHrNAi9+5fpCiy2aDWzfDwErjjY3NVjLOHzLHqHzSFdT+Y8z+IXI6Te8zA8mFrmNgKlowzl0X1DoRresK90+GpLXDrOKjYyhxSJVJQFI+ELq+ay9Z2GgtB5cz3y0VjzEnmfh1u/g4A64+tZ+D8gcQmx9KgZAM+7vQxwT4akinW0butXLWHrnmIasWrcSLxBK//+7q50TBg8Rsw/0XzepshcMvb+gPvCYLKmH+snlwPN4yEwJLmh7K5T8P4+uYat1cz1tUwIOp9+L63Of9AlfYwYL45I6uI5A67Axr0gsEr4aa3ILCUuZLDzIHwcTvYOu+KxmBKEXL2qHlS9vPOZqv5ojFwZAPYvaHmLdBjEjyzHbp/AtU7gcPb6opFro5/cfNz6JC15snN0vXAGQfLJsJ7DVn7/V0M+q0/Z5LP0LhUYz7u9DFBPkFWVy1FnJo05ar5OHx4uc3L3Dv3Xn7d9StdKnbhhs2/m+OBwJxYpt3T6hrnafyLQ7unoOWjsOYbWPoenNpjrnG7ZDw07QctH4Pgspd/ny6nGfZXTjGvN+0PN/1PH/JE8oqXD7R4EBr2Nj9wLn3PXDv427vNuSc6joKKra2uUqyWGGtO3rp+urnKiuFK3ZE6f0m9HlDnNnPGbJHCysvHPLl5TU/Y8TtEvc+aA0t5OGEjcXY7TQxfPqzYnQCHlgwU6ymkS66oV6Ie/er24/P1n/Pyn8/SdPdOQgBufANaPmJ1eXIx3v7QbCA0fsCcXG7JO+aH/Kj3YdnH5h+01kPMmaYvJuEkTOsLu/4EbNDlNfNnr5MzInnPtxhc+4w5rGjpePN3d98/MPkmqN4ZOoyAstdYXaXkp5Qkc1br/36Arb+Zy3KeU64R1L8L6na/shOxIoWBzQbVbmBlUHEeXfAw8a5Emicm8f6hfQTsvh9K1DDHsl/TU6vQiGUU0iXXPFJ/IH9s+IadRiJvhoXyWusx0LiP1WXJ5XJ4mbOe1rsTti80w/qepbDqS1j1ldnK0vZJ88MdwPEdsPors6u8bzDs/MPsbusdCD0+h5o3Wfp0RIqkgDBzOEuLh+HP/5m/v9vmm1/1ekD7F8z5KaRwcrtg999mMN/4MySdPr8vvLoZzOv30GtAirzlh5bz2KLHSHAl0rJsS95rMhz/lVPMnoDHtsLPT5g9C1s8aJ78DAizumQpYhTSJXekJOE740HGHtjN/WVL83NQIDeWqsi1VtclV85mM8chVu8Ee5eZrXJb5sLGH82vKtebM/tGTwBsgPv82Fe/4tD3Z7XYiVgtuJw5UWTrx+GPV2H9DLOr88bZ0KgPXPecWlALC8OAA6tSl0ybCWcPn98XVA7qdTfDedkG6tkkAvxz8B8eX/Q4ia5E2pRrw/j24/Hz8oPOL5s9klZ9Cf9MhNj9ZlD/exw0us/sHRhWxerypYjQLF5y9ZLj4NuesGUODVJs9Cl3HQBjosYQmxxrcXFyVSq0gHu+g0f/MZfPszlg52KzK7zhNsc1pp+cKikWfAItK1dELhBe1ZwI7KG/oFoncKfAysnmsm0LRkL8CasrlJw6ugV+f9X8WX7WwZyT4Oxhc1x5kwfggTnmrNZdXjWXpFJAFyHqQBSDFw0m0ZVIu4h2vNvhXTOgn+MXDK0Hw5A10P0zs1HCGW8uSfh+E5h2P+xfYVn9UnQopMvVSTwNX3U3uzp7B8K9PzC4w9tUDK7IkYQjvLX8LasrlNxQqjZ0/9j8o1W24UUOtJld4EXEs5RtAPdNhwfmQmQLSEmApe/Cuw3hr/8zT7aK5zu93/y5fdQWJjSHv/4HJ3eBd4A5nOGeqfDUVuj6LlRqqxVVRNJZcmAJj//+OEmuJK4rfx3j24/H1+Gb9cEOb7jmLnjob7j/J6jW0Wyc2PgjfHaDucTs5jla8lLyjLq7S87FHYevu8PBNeAbYn4AjGyOHzC29Vge+O0BZm+fTZdKXWgb0dbqaiU3FK9gtswdWmf+scrEMMeoi4hnqtQG+s8zl2hbNNZceuv3l82J5q57Fhr3NWdAFs8Rd9wcprB+hjlPyDl2LzM41L/LnANEvZhEsvXX/r8Y+sdQnG4n7SPb8/Z1b+N9OSvP2GxQ5Trz6/BGc+WiddNgb7T5FV4NWj0GDe4xJ+IVySU6xSo5c+YQTLnZDOgBJeCBXyCyedruxqUbc2/tewEYHTWas8lnLSpUcl3xCphj0bNiS90vIh7LZoOaN8LDS6D7pxBaCeKOmMsnftAU1k41JyCTvHd8BywcDdP7m9+P7zC3J52FdT/AN3fD2zVgzrDzAb1iW7j1HXh6G/Seak4Ep4Aukq0/9v7BkD+G4HQ76VSxE29ff5kB/UKl60C3D2Hof+ZEur4hcHw7/PIkvFMPFr9pnlQTyQVqSZcrd3IPfHm72cUuqBzc/yOUrJHpsMcbPc7ifYvZf3Y/b698m1GtRuV/rZL7GvUxu1tmyTD3i4jns9vhmruhTjdY9QX89Rac2gOzHjR/x28YATVu1FjmvLL6a/jpccyTnob5fcl4iGgMRzaZ42DPKXON2WJerzuElLemXpECaNGeRTz959OkGCl0qdSF19u9jrc9BwE9veCy0HE0tHvK/D2O/hBO74XFr8GScdDwXrN1Xaso5I/0qw0Vr2B+Di0E//cK6XJljm0zA3rsASheEfr+ZLbCZCHAO4CxbcbSf15/pm+dTueKnWlVrlX+1iu5L7wq3PYB/DSYDB8uMcztheCNUaRI8fKB5oOgYW+z2/vS8WY3+O96mePXbxhldpM/vgP7yi9osmsZ9j9WQpO++n3PjtsNriRwJUNK8gWXk+HETvM9NP3Em+ccWGl+D6uSGsx7ZHkiXEQubt7ueTz313O4DBc3Vb6J19q+hpc9F6OPb5A543uzQbDpR1j6ntnDdMXnsGIS1LoFWj9hTsIreSOrk51L3zU/jza61+Liro7NMLL6C1F4xcbGEhISwunTpwkODra6nILl0H/w1R0QdxRK1IT7Z5vL/FzCK/+8wtQtUykXWI6Zt88k0NuabnlOp5O5c+dy88034+19lWdRpdCeubSSXqPiERJOmh9y/vnInGAOoFQdOLoZAxuG4cZms2M7d2LOqg9ChgEuZ2oAdkJKahB2JWdx2XmR0Jz+9ukvp94mw+XU+8xwOYvHdKdcxROzQYNe0G2iejHkgN5HBeDXXb/y/N/P4zJcdK3SlZfbvIzD7sjbBzUMc1hK1Puw9bfz28s3N5fDrHULnNyNa+UXHNy4jLJ1WuDQyc6sGYb5Pupynn9PTXu/Tb18cidM7ZP1HEk2Owxe4XH/t1eSQ9WSLpdn33L45k5zNvcy10CfWRBY4rJuOqzJMJYcWMKBswd4Z+U7vNTypTwuVvJFeFWzu5eIFC7+oebvdouH4c//wcopcGQjYLZV2MBcfhHM1mCfQPPvwSVDby4F4PQhu6Cwe4OXLzh8zK+k2Izd2dOz2cznpoAukiO/7PyFF5e8iNtwc3vV2xnTekzeB3Qwf2crtTW/jmxOnWRuKuz/F6b1Medwij+O3WannOHGFr0cot/P25OdhmHOMeJ2Zgy4GYKvM10YvuA4d7p9545zO7O4XRYhOu226Y6/kjquSupqQwX4c6pHhPQJEybw1ltvcejQIRo0aMD7779P8+bNL3m777//nnvuuYfbb7+d2bNn532hRdWuv+DbXuCMM7s+9p4G/sUv++YB3gGMbj2aQfMHMXXLVLpU6kKzMs3yrl4REbl6QWXg1nFmK8XKKZhdCS9guOGHvvldWdZsDjMAe/mAwzfd5dSv9CHZy9dcYsnhm/Gy41yYTn/5Urc/9xgXXE5/+wsD98LRZtdYI6sJ+jQBp0hO/bj9R0YsHYGBwZ3V72Rkq5HYbRbMk12qFtz+AXQYYa6xvuxjiD8GgM1wZTzZ+eNjELPKPOGZF+E4q/fugsjulfr+6m2e+EyOO9/bK5OCv9qQ5SF96tSpDBs2jI8++ogWLVowfvx4unTpwpYtWyhVqlS2t9u9ezdPP/007dq1y8dqi6Ct82Da/ZCSCJWvg3u+y9Essi3LtqRHjR5M3zqdkUtHMuO2GQR4B+RBwSIikquSYs2Qmd3oOO8AczKzrAJshtB8qQCcRWjOMgBnE5rzo6Ust2gCTpFcN2vbLEZFjcLA4K4ad/FSy5esCejpBZU2J+FMSYR/Psx++drln+VfTedOaDq8zwdehw84LgjB6Y9x+GQMyWnbvDNez/a2FzvO6/x7+cUeo4id7LQ8pI8bN45BgwbRr18/AD766CPmzJnDpEmTGD58eJa3cblc3HvvvYwZM4a///6bU6dO5WPFRciGWTBjoHmWrubN0GMyePvl+O6eavIUSw4sYf/Z/by/+n2ea/5cLhYrIiJ54mLLLtoc0OKhAt2l0BKagFMkV/2w9QfGRo8FoFfNXrzQ4gVsnjRk5MzBi+y0mRNF1rgxY4i9ZFhOF3Dt3pd5W29zZY/CoJCf7LQ0pCcnJ7Ny5Uqef/75tG12u52OHTsSHR2d7e3Gjh1LqVKlGDBgAH///fdFHyMpKYmkpKS067GxsYA5sYjTebXjHQov29pvccwZis1w467bHVfXCYADruL/zNfmy0vNXmLw4sF8s+kb2ke0p1GpRrlX9CWc+3nr5y6eSq9R8Uj1e+GV+kEo/UdeI/XflPr3XNXfhiKr3t1Qrin2td9gO7UXo3gF3A3uNT+s6/8zx/Q+WvT8sO0HXl/+OgD31LyHpxs/TUrK1UzemPvsweWxY8vydKdhs+OudSvu9iPytggDcLnMr8IguAK2W97FMWcIF57sdN3yLkZwBY97L72S9yVLQ/qxY8dwuVyULl06w/bSpUuzefPmLG+zZMkSPv/8c9asWXNZj/H6668zZsyYTNvnz59PQIC6W2el8tH5XLP/awB2h1/PWu/bYN6CXLv/xj6NWZW8imd/f5bHgh7Dx+aTa/d9ORYsyL3nIpIX9BoVTxMZOYBGez/Dne6DkA2D1ZED2PfPZiDrv9lyOZqAbxNIAPR/mWv0Plo0RCdFMydhDgBtfNtQ51Adfv31V4uryiwwMYIbDHdajDzHADDc/HGqPHFz51pTXIEWQmDtN6lw/E8Cko4R71uCveHXEXcgBA543v9nfHw2E4ZmwfLu7lfizJkz9OnTh08//ZQSJS5vZvHnn3+eYcOGpV2PjY0lMjKSzp07awm2LNiXvoNjtRnQXS0eIeKGsUTkcnehdsnt6DGnB0cTjrKr7C6ebPxkrt5/dpxOJwsWLKBTp05alkU8kl6j4rluJuXEIFj1JYe3rKB0zabQ+H7qh1WhvtWliaSj99Gi4+vNXzNnlRnQ+9buyxMNn/CsLu4XcK31xzFnSIalLM+1+l7X4B6ryyvg+qVdqmxhFZdyrkf35bA0pJcoUQKHw8Hhw4czbD98+DBlypTJdPyOHTvYvXs3Xbt2TdvmdpsTMHh5ebFlyxaqVs04jsvX1xdfX99M9+Xt7a037/QMAxaNgSXvmNevG47j+uE48uDNLsw7jNGtR/PYosf4Zss3dKnShQYlG+T642RHP3vxdHqNikcqXRNnx9GsTJ7LzR21BrV4Nr2PFm5T1k9h3KpxAAyqP4jHGz3u0QEdgKb3Q+U2mdZJ99IcFEXGlbwnWTpzgI+PD02aNGHRokVp29xuN4sWLaJVq1aZjq9Vqxb//fcfa9asSfu67bbbaN++PWvWrCEyMjI/yy883G6Y+8z5gN75FWj/fJ6u0Xpt+WvpWqUrbsPNiKUjSHIlXfpGIiIiIlKkffbfZ7y98m0AHm7wcMEI6OeEV8XdfgQrKz9qjkFXQJdsWN7dfdiwYfTt25emTZvSvHlzxo8fT1xcXNps7/fffz8RERG8/vrr+Pn5Ua9evQy3L168OECm7XKZXCnw0+Ow9lvABre+A037XfJmueG55s8RfTCaXad3MXHNRIY2GZovjysiIiIiBc/Haz/mgzUfAPBow0d5pMEjFlckkjcsD+k9e/bk6NGjjBw5kkOHDtGwYUN+++23tMnk9u7di72wLBXgaVKSYcYA2PSTuYzOHR/BNXfn28OH+IYwouUIhvwxhMkbJtOxYkfqldDJFhERERE5zzAMJq6dyMS1EwF4otETDLpmkMVVieQdy0M6wODBgxk8eHCW+xYvXnzR206ZMiX3CyoKkuNhWh/YvtBcN7HHZKh9a76X0aFCB26qfBO/7vqVEUtHMPXWqfg48ne2dxERERHxTIZh8MGaD/hk3ScAPNnkSfrX629xVSJ5S03URVHSGfjmLjOge/nDPd9bEtDPeb7584T5hbH91HY+XvexZXWIiIiIiOcwDIN3V72bFtCfbvq0AroUCQrpRU38CfjydtizBHyDoc8sqHaDpSWF+oXyYosXAfj8v8/ZdHyTpfWIiIiIiLUMw2DcynF8vv5zAIY3H07fun0trkokfyikFyVnj8CUW+HASvAPg74/QcXMs+hboXOlznSq2AmX4WLE0hE4XU6rSxIRERERCxiGwf+W/48pG6YA8EKLF7i39r3WFiWSjxTSi4pT+2DSjXBkAxQrDf3mQrlGVleVwYstXqS4b3G2nNzCZ/99ZnU5IiIiIpLPDMPg9X9f5+tNXwMwouUI7ql1j8VVieQvhfSi4PgOmHwTnNgBIRWg369QqrbVVWUS7h/OCy1eAOCTdZ+w5cQWiysSERERkfziNty8uuxVvtv8HTZsjGk9hrtr5t/KQyKeQiG9sDu80Qzop/dBeDXo/yuEV7W6qmzdWOlGOkR2IMVIMbu9u9XtXURERKSwcxtuxkaPZeqWqdiwMbbNWLpX7251WSKWUEgvzA6sgik3w9nDULqe2YIeUt7qqi7KZrMxotUIgn2C2XRiE1PWT7G6JBERERHJQy63i1FRo5ixbQZ2m51X275Kt2rdrC5LxDIK6YXVnij44jZIOAkRTaHvz1CslNVVXZYS/iUY3nw4ABPXTmT7ye0WVyQiIiIiecHldjEyaiSzt8/GbrPzetvX6Vq1q9VliVhKIb0w2r4QvuoOyWegUju4fzYEhFld1RW5tcqtXFf+OpxuJyOWjiDFnWJ1SSIiIiKSi1LcKbyw5AV+2vETDpuDN699k5ur3Gx1WSKWU0gvbDb+BN/2gpQEqN4Z7v0BfIOsruqK2Ww2RrQcQZB3EOuPr+fLjV9aXZKIiIiI5JIUdwrP//08c3fNxcvmxVvXvcWNlW60uiwRj6CQXpis/R5+eADcTqjTDXp+A97+VleVY6UDS/NMs2cAmLB6AjtP77S4IhERERG5Wk63k2f/epbfdv+Gl92Lt69/m04VO1ldlojHUEgvLJZ/BrMeAsMFDe+DHpPAy8fqqq5at2rdaFOuDcnuZEYuHYnL7bK6JBERERHJIafLyTN/PsOCPQvwtnsz/vrxdKjQweqyRDyKQnphsPRdmPOUebn5Q3Db+2B3WFtTLrHZbIxuPZpA70DWHl3LN5u+sbokEREREcmBZFcywxYPY9HeRfjYfRjffjzXRV5ndVkiHkchvSAzDPj9FVgw0rze7im46U2wF64fa5nAMjzd9GkA3lv9Hnti91hckYiIiIhciSRXEkP/GMri/YvxdfjyXof3uLb8tVaXJeKRCleaK0oMA357Hv56y7x+wyi4YSTYbNbWlUfurH4nLcu2JMmVxMilI3EbbqtLEhEREZHLkJiSyJA/hvD3gb/xc/jxfof3aRPRxuqyRDyWQnpB5HbBT4/Dsonm9Zv/D9oNs7amPHau27u/lz+rjqziu83fWV2SiIiIiFxCQkoCT/z+BEsPLMXfy58JN0ygVblWVpcl4tEU0gsalxNmDITVX4HNDt0mQvNBVleVLyKKRTCsiXky4t1V77LvzD6LKxIRERGR7MQ743l80eNEH4zG38ufD2/4kOZlm1tdlojHU0gvSJyJMLUPbJgJdm/oMRka9ra6qnx1d827aVamGQkpCYyKGqVu7yIiIiIeKN4Zz2OLHmPZoWUEeAXwcaePaVqmqdVliRQICukFRdJZ+PZu2PorePlBr2+hbjerq8p3dpudMa3G4O/lz/JDy/lhyw9WlyQiIiIi6cQ543hk4SOsOLyCYt7F+LjTxzQq1cjqskQKDC+rC5BsHN9hdmk/tReKlYZdS+DwOvApBvd8D5XbWV2hZSKDIxnSeAhv/PsG41aOo135dpQrVs7qskRERESKvLPJZ3l44cOsPbqWIO8gPu70MfVL1re6LJECRSHdE63+2pwYDhtgwLku3V7+cP+PUF5dhe6pdQ/zd89n1ZFVjI4azcedPsZWSGe2FxERESkIYpNjeWTBI6w7to5gn2A+6fwJdcPrWl2WSIGj7u6e5vgOM6AbbjBc5wM6gCsJ/EOtq82D2G12xrYZi6/Dl+iD0czcNtPqkkRERESKrNNJp3lw/oOsO7aOEN8QPuv8mQK6SA4ppHua1V9htqBnxZa6XwAqBlfk8UaPA/B/K/6PQ3GHLK5IREREpOg5lXiKQfMHseH4BkJ9Q/m88+fUDq9tdVkiBZZCuqc5tRcwstlppO6Xc+6rfR/XlLyGs86zjI4ejWFk938nIiIiIrntZOJJBs4fyKYTmwjzC+PzLp9TM6ym1WWJFGgK6Z6meAUu2pJevEJ+VuPxHHYHL7d5GR+7D0sPLOXHHT9aXZKIiIhIkXA84TgD5g9gy8kthPuFM6nLJKqHVre6LJECTyHd0zTqw0Vb0hv1yc9qCoQqIVV4tOGjAPxv+f84En/E4opERERECrdjCccYMG8A205uo6R/SSbdOImqxataXZZIoaCQ7mnCq8JtH4DNDjZHxu+3fWDul0z61u1LvfB6nEk+w8vRL6vbu4iIiEgeORp/lP7z+rPj9A5KBZRi8o2TqRJSxeqyRAoNLcHmiRrdCxVanl8nvXgFswVdAT1bXnYvxrYZy92/3M3i/YuZs2sOt1a51eqyREREsrUndg+zts0i5mwM5YqV447qd1AxuKLVZYlc1OG4wwycP5DdsbspE1iGSZ0nERkcaXVZIoWKQrqnCq8KHUdbXUWBUj20Oo80eIT3V7/P68tep2XZlpTwL2F1WSIiIpnM2jaL0dGjsWHDwMCGjckbJjOm9Ri6VetmdXkiWToUd4j+8/qz78w+ygaW5fMunxMZpIAuktsU0qVQ6VevHwv3LGTTiU288s8rvHP9O9hs2U3EJyIikv/2xO5hdPRo3IY7075RUaNoXKoxFYI1UaxYL31vj2DfYBbvW8zh+MNEFIvg8y6fE1EswuoSRQoljUmXQsXb7s3LbV7Gy+bFor2LmLd7ntUliYiIZDB5/eRs506xYWPmtpn5XJFIZrO2zeK22bcxZcMUftv9G1O3TOVw/GFCfUOZ3GWyArpIHlJIl0KnZlhNBl0zCIDXlr3GicQTFlckIiJFXYo7hYV7FjJw/kBmbJuBkc1KLm7DTczZmHyuTiSj9L09XIYrw+v1VNIpnG6nhdWJFH4K6VIoDao/iBqhNTiZdJLXlr1mdTkiIlJEHYk/wsQ1E+kyvQtPLn6SZQeXXfR4A4ND8YcUgsRSs7bNwkbWwwXtNrt6e4jkMYV0KZS8HWa3d4fNwbzd81iwZ4HVJYmISBFhGAbLDi5j2OJhdJ7emQ/XfsiRhCOE+YUxqP4gJnWehN2W/Uew1UdWc++ce9l6cms+Vi1y3q7YXbgMV5b7DAz19hDJY5o4TgqtOuF16F+vP5/+9yljosawvNJy1setZ8eaHdxZ804tcyMiIrkqNjmWn7b/xNQtU9kduztte+NSjelZsycdK3bEx+EDwJjWYxgVNSrD7O6GYdCjRg/m7ZnHphOb6PlLTx5t8Cj96vXDy66PbJL3DMPgl52/sPTA0myPsWGjXLFy+ViVSNGjd3wp1B5u8DA/bv+RIwlH+H7r9wBs3LSRLzZ9oWVuREQkV2w8vpGpW6Yyd+dcEl2JAAR4BdC1alfurnk3NUJrZLpNt2rdaFyqMTO3zUxbJ7179e5UCK7AIw0fYUz0GBbvW8x7q9/j972/80rbV6havGo+PzMpSmLOxjD2n7EXDehgtqR3r949n6oSKZoU0qVQOxh3kKMJRwHSJj05131Ly9yIiEhOJaYkMm/3PKZtmca6Y+vStlcrXo1eNXtxa9VbCfQOvOh9VAiuwNAmQzNtL+Ffgvfav8cvO3/h9X9fZ/3x9dz9890MbjSY++vcj8PuyO2nI0WYy+3i+y3f8+6qd0lIScDb7s0jDR4hzD+MsdFjM/b2wGBM6zH67CSSxxTSpVCbtW0Wdps923FVM7fNzPIDkoiISFb2xu5l2pZpzN4xm9NJpwHwsnvRqWInetXsRaNSjbDZsp5w60rYbDa6Vu1K8zLNGR09miUHljBu5TgW7V3Ey21epnJI5at+DJEdp3YwKmoUa4+uBcyhGaNaj6JKSBUAmpVulmVvDxHJWwrpUqjFnI256DI3M7bNwM/Lj7YRbakTXueiE/mIiEjRlOJO4a/9fzFtyzSWxpzvClw2sCx317ybbtW6UcK/RJ48dunA0nx4w4fM3j6bN5e/ydqja7nr57t4otET3FfnPv3dkhxxupx89t9nfPLfJ6S4Uwj0DuTJxk9yV827MrymsuvtISJ5SyFdCrVyxcplu4QImGt9TlgzgQlrJhDqG0rriNa0KdeGNhFtCPMLy8dKRUTE0xxLOMaMrTOYvm06h+IOAeakWW0i2tCrZi/aRrTNl67nNpuNO6rfQcuyLRkVNYrog9G8teItFu1dxCttXiEyODLPa5DCY93RdYyKGsX2U9sBuK78dbzU8iXKBJaxuDIROUchXQq1O6rfweQNk7PcZ8PG4IaD2XRiE9EHozmZdJI5O+cwZ+ccbNioE16HNhFtaBfRjnol6mlmXRGRIsAwDFYcXsG0LdNYuGchKUYKAMV9i3NH9Tu4q8ZdRAZZE4rLFivLx50+5oetP/B/K/6PVUdWcefPd/JkkyfpWbOnWtXlouKd8by/+n2+2fQNBgZhfmEMbz6cGyvdmCtDNEQk9yh1SKFWMbhihmVu3IYbu82eNvHJudndnW4na4+sZWnMUpYcWMLmE5vZcHwDG45v4JN1nxDsE0yrcq3SWtlLBZSy9omJiEiuOpN8hp93/My0LdPYcXpH2vYGJRvQs2ZPOlfqjK/D18IKTTabjbtr3k3rcq0ZGTWS5YeW89qy11i4ZyFj24wloliE1SWKB4o6EMWY6DHExJnrm3et0pVnmj1DqF+oxZWJSFYU0qXQO7fMzfQt01mxbQVNqzelR80eGSY+8bZ707RMU5qWacqQxkM4Gn+UqJgolhxYQlRMFLHJsczbPY95u+cBUDO0Jm0i2tA2oi0NSzbE2+Ft1dMTEZGrsOXEFqZumcovO38hISUBAH8vf26pcgs9a/akVlgtiyvMWvmg8nzW+TO+3/w941eN599D/9L9x+483expelTvoZZRAeBU4ineWvEWP+34CTDnURjZaiRtI9paXJmIXIxCuhQJFYIr8HjDx5kbM5ebG96Mt/fFQ3XJgJLcXu12bq92Oy63i/XH17PkwBKWHljK+mPr2XJyC1tObmHS+kkEegfSokyLtNBerli5fHpWIiKSE8muZObvmc/UzVNZc3RN2vYqIVW4u+bd3Fb1NoJ8gqwr8DLZbXZ61+5N24i2jFg6glVHVjE2eiwLdi9gbJuxGmNchBmGwbzd83j939c5kXgCGzZ61+7NE42eIMA7wOryROQSFNJFLsFhd9CgZAMalGzAYw0f42TiSaJiolh6YClLY5ZyIvEEv+/7nd/3/Q6YH/LOBfYmpZt4RPdIERGB/Wf288PWH5i1bRYnk04C4GXzokOFDvSq1YumpZsWyBboCsEVmNRlEt9u/pZ3V71L9MFo7vjxDp5t9izdqnUrkM9Jcu5Q3CFe/edVFu9fDEDVkKqMbj2ahqUaWlqXiFw+hXSRKxTqF8otVW7hliq34DbcbDqxyQzsB5ay9uhadp7eyc7TO/lq41f4OfxoVqYZbSPa0jairdYWFRHJZy63i6UxS/l+8/csObAkbVnO0gGl6VGjB3dWv5OSASUtrvLqOewO+tTpQ9uItry09CXWHV3HyKiRLNizgNGtR2sulSLAbbiZvnU641aOI84Zh5fdi0H1BzGw/kB8HD5WlyciV0AhXeQq2G126obXpW54XR685kFOJ51m2cFl5gR0+5dwJOEIfx/4m78P/A1AZFBkWmBvWrqpupyJiOSR4wnHmbV9FtO3TufA2QNp21uVbUXPWj25rvx1hXLVjsohlfnyxi/5YuMXfLD6A/4+8DfdfuzG882f59Yqt6pVvZDafXo3o6NHs/LwSgCuKXENY1qPoVpoNYsrE5GcKHx/nUQsFOIbQudKnelcqTOGYbDt1La0seyrjqxi35l9fLf5O77b/B0+dh+alG6S1jW+SkgVfXgSEbkKhmGw5ugavt/8PQv2LMDpdgIQ7BNMt2rduLvm3VQMrmhxlXnPYXfQv15/rit/HS8ueZENxzfwwpIXWLBnASNbjaSEfwmrS5Rc4nQ7+WLDF0xcM5FkdzL+Xv4MaTyEXjV74bA7rC5PRHJIIV0kj9hsNmqE1qBGaA361+tPnDPObGU/YC7zFhMXQ/TBaKIPRvN/K/6PsoFlzcBeri0tyragmE8xq5+CiEiBEO+M55edvzB1y1S2ntyatr1eeD161urJjZVuxM/Lz8IKrVG1eFW+vvlrJq+fzIdrP+SPfX+w6sgqXmzxotbGLgQ2HN/AqKWj2HJyCwBtyrVhRKsRWoZPpBBQSBfJJ4HegXSo0IEOFTpgGAa7YneljWVffmg5B+MOMn3rdKZvnY6XzYuGpRrSJqIN7SLaUSO0hj5MiYhcYPvJ7UzdMpWfd/5MnDMOAF+HLzdXvpmeNXtSt0Rdiyu0npfdi0HXDOLa8tfy0tKX2HxiM8/+9SwL9izgpZYvEeYXZnWJcoUSUhKYuGYiX2z8ArfhJsQ3hOeaPafhDCKFiEK6iAVsNhtVQqpQJaQKfer0ISElgRWHVphj2Q8sYU/sHlYcXsGKwyt4d9W7lPQvSetyrWlbvi2tyrYixDfE6qcgImIJp8vJor2L+H7L92njbwEqBlekZ82e3Fb1Nr1HZqFmWE2+veVbPlv3GZ+s+4QFexaw8vBKXmr5Ep0qdrK6vALB5XLhdDotrWHdkXV8sOYDDsUdorR3adpFtGPgNQMJ9QslKSnJ0trk8jidTry8vEhMTMTlclldjuQyHx8f7Hb7Vd+PQrqIB/D38qdd+Xa0K98OgH2x+9IC+7+H/uVowlF+3PEjP+74EbvNTv0S9dMmoKsTXge77erfDEREPNnBswf5YesPzNw2k+OJxwFw2By0j2zP3TXvpkXZFnovvARvuzePNHyE6yKv46WlL7Ht5DaGLR7GTZVv4oXmL1Dcr7jVJXokwzA4dOgQp06dsqwGt+EmNjmWeGc8fcv2xWFzEOIbgp+XH6cOnuIU1tUmV8YwDMqUKcO+ffvU86EQstvtVK5cGR+fq1tRQSFdxANFBkfSK7gXvWr1ItmVzKojq1iyfwlLY5ay/dR21h5dy9qja5mwZgKhvqG0jmhNm3JtaBPRRl0XRaTQcBtuomOi+X7L9/y1/y/chhuAkv4l05ZPKx1Y2uIqC5464XX4/pbv+WjtR0xaP4lfd/3Kvwf/ZVSrUbSv0N7q8jzOuYBeqlQpAgIC8j1YnU0+y9H4oxQzilGMYoT4hBDuH66J4Qoot9vN2bNnKVasWK60uIrncLvdxMTEcPDgQSpUqHBV7xUK6SIezsfhQ8uyLWlZtiVP8zQHzx5kaYw5lj36YDQnk04yZ+cc5uycgw0bdcLrpI1lr1eiXqFcYkhECrdTiaeYvX0207ZOY9+ZfWnbW5Rpwd0176Z9hfZ4270trLDg83H48ETjJ+hQoQMvLnmRnad38sQfT9C1Sleea/6chgykcrlcaQE9PDw8Xx/b6XZyKO4Qscmx4AV+Dj/KFStHoHdgvtYhucvtdpOcnIyfn59CeiFUsmRJYmJiSElJwds753+n9OldpIApW6wsPWr0oEeNHjjdTtYeWZvWNX7zic1sOL6BDcc38Mm6TwjyCaJV2Va0jWhLm4g2lAooZXX5IiJZMgyD/479x9QtU/lt128ku5MBCPIO4rZqt3F3jbupUryKxVUWPvVK1GNa12lMWDOBLzZ8wc87f2bZwWWMaj2Ka8tfa3V5ljs3Bj0gICDfHtMwDE4lneJQ3CHchhsbNsL9wykZUFJDOkQ83Llu7i6XSyFdpKjytnvTtExTmpZpypDGQzgaf5SomCiWHFhCVEwUscmxzN8zn/l75gNQI7RG2lj2hiUb4u1QS5SIWCveGc+vu35l6papbDqxKW177bDa9KzZk5sq30SAd/4FpKLI1+HLsCbD6BDZgRFLR7A7djePLXqMO6rdwTPNniHIJ8jqEi2XX13ck13JxJyNSVutwM/Lj4hiEUVyCUGRgii33isU0kUKkZIBJbm92u3cXu12XG4X64+vZ8mBJSw9sJT1x9az9eRWtp7cyqT1kwj0DqRFmRbm2uwRbSlXrJzV5YtIEbLz9E6mbZnGT9t/4ozzDAA+dh9urHwjPWv2pH6J+ppUKZ81LNWQH7r+wHur3+PrjV8za/ssog9GM6b1GFqXa211eYWaYRgcTzzOkfgjGIaBzWajVEApwv3C9XsgUgQppIsUUg67gwYlG9CgZAMea/gYJxNPEhUTZa7NHrOUE4kn+H3f7/y+73cAqoRUMQN7ubY0KdMEX4evxc9ARAobp9vJH3v/YNqWaSw7tCxte/li5elZsyfdqnXTDOMW8/Py49lmz3JDhRsYsXQE+87s46EFD3FXjbt4qulTGg+dBxJTEjlw9gCJKYkABHoHUq5YOXwcVzc7dG65/vrradiwIePHjwcgPj6ePn36sGDBAs6cOcPJkycpXry4pTWKFDYK6SJFRKhfKLdUuYVbqtyC23Cz6cQmM7AfWMrao2vZeXonO0/v5KuNX+Hn8KNZmWZpE9BVCK6Q6f72xO5h1rZZxJyNoVyxctxR/Q4qBle04JmJiKc7HHeYGdtmMH3rdI4mHAXAbrNzbflr6VWzF63KtdJYWw/TpHQTpnedzvhV4/lu83f8sPUHomKiGNt6LM3LNre6vAJp17E4pq3Yx/6TCZQP9adHkwiKBcRzPOE4BgZ2m50ygWUo7ls8V1rPH3jgAU6dOsXs2bMzbF+8eDHt27fPcbj+4osv+Pvvv4mKiqJEiRKEhISwa9cuXnzxRRYvXsyJEycoUaIETZo04c0336RWrVpX/Vxyw/XXX8+ff/6Z7f7rrruOxYsX519BIhehkC5SBNltduqG16VueF0evOZBTiedZtnBZWld448kHOHvA3/z94G/eYM3iAyKpE25NrQr346mpZsyb/c8RkePxoYNAwMbNiZvmMyY1mPoVq2b1U9PRDyAYRj8c/Afpm2Zxh/7/sBluAAI8wvjzup3cleNuyhbrKzFVcrFBHgH8EKLF+hYoSMjo0Zy4OwBBswfwD217mFo46GaK+AKTFuxj+Ez1mGz2czu7MBHf+5gSJdwOtULItgnmDKBZQrEXDE7duygdu3a1KtXDzAn1+vUqRM1a9Zk5syZlC1blv379/Prr79aurb8hWbOnElysjkh5b59+2jevDkLFy6kbt26AJnWtXY6nVc18ZfI1dBpaxEhxDeEzpU6M7bNWBbetZAZt83gySZP0rxMc7zsXuw7s4/vt3zPY4seo813bRgZNRK34cZluDJ8HxU1ir2xe61+OiJiodNJp/lq41fcNvs2HlzwIAv3LsRluGhSugn/u/Z/LOyxkCcaP6GAXoA0L9ucGbfN4K4adwHw3ebvuPOnO1l5eKXFlVnDMAzik1Mu+2vjwdMMn7EOtwEut2F+N8Aw4N15x4mPCyXcryxOl+2S92UYRq4+l+PHj3PPPfcQERFBQEAA9evX57vvvsv2+Ouvv563336bv/76C5vNxvXXX8+GDRvYsWMHH374IS1btqRixYq0adOGV155hZYtWwKwe/dubDYb33//Pa1bt8bPz4969eplaNl2uVwMGDCAypUr4+/vT82aNXn33Xcz1TBp0iTq1q2Lr68vZcuWZfDgwWn7Tp06xcCBAylZsiTBwcF06NCBtWvXAhAWFkaZMmUoU6YMJUuWBCA8PDxtW3h4OBMnTuS2224jMDCQV199FYAff/yRxo0b4+fnR5UqVRgzZgwpKSmX9ZgAa9eupX379gQFBREcHEyzZs1YvXp1Tn5cUoSoJV1EMrDZbNQIrUGN0Br0r9efOGccyw4uY+kBc5m3mLiY7G+LjZnbZjK0ydD8K1hE8sWe2D3M2DKDFXEr2LFmB3fWvDPDEJcNxzcwdfNUft31K4mu82Nrb61yKz1r9qR6aHWrSpdcEOgdyMhWI+lYoSOjokex/+x++v3Wj/vq3McTjZ4oUrOPJzhd1Bk5L1fuyzDgromXH9g2ju1CgE/ufXxPTEykSZMmPPfccwQHBzNnzhz69OlD1apVad4887CGmTNnMnz4cNavX8/MmTPx8fEhISEBu93O9OnTGTp0KA6HI9vHe+aZZxg/fjx16tRh3LhxdO3alV27dhEeHo7b7aZ8+fL88MMPhIeHExUVxYMPPkjZsmW5++67AZg4cSLDhg3jjTfe4KabbuL06dMsXbo07f7vuusu/P39+fXXXwkJCeHjjz/mhhtuYOvWrYSFhV3y/2P06NG88cYbjB8/Hi8vL/7++2/uv/9+3nvvPdq1a8eOHTt48MEHARg1atRlPea9995Lo0aNmDhxIg6Hg1WrVuHlpQgmF6dXiIhcVKB3IB0qdKBDhQ4YhsFjix5jyYElGGQ+m+8yXCw7tIwzyWe0ZI9IITJr26y0IS5uw83GTRv5YtMXvNTiJbwd3kzdPJX1x9enHV89tDq9avbiliq3aKKxQqZ1RGtm3jaTt5a/xazts/hq41f8vf9vXm7zMg1LNbS6PLnAL7/8QrFixTJsc7lcaZcjIiJ4+umn064//vjjzJs3j2nTpmUZ0sPCwggICMDHx4cyZcqkbX/vvfd49tlnGTNmDE2bNqV9+/bce++9VKlSJcPtBw8ezJ133gmYgfu3337j888/59lnn8Xb25sxY8akHVu5cmWio6OZNm1aWkh/5ZVXeOqppxgyZEjacc2aNQNgyZIl/Pvvvxw5cgRfX3Py2//7v/9j9uzZTJ8+PS1cX0zv3r3p169f2vX+/fszfPhw+vbtC0CVKlV4+eWXefbZZxk1atRlPebevXt55pln0sbmV61aldjY2EvWIkWbQrqIXLZzrexRMVFp40svtP7YetpPa8/1kddza5VbaRPRBm+7xnSJFFR7YvcwOno0bsOdtu3c7//Yf8ambfO2e9OpYid61epFw5INtWxUIRbkE8TYNmPpWLEjY6LGsDt2N31/60vfun15rOFjhX51EH9vBxvHdrnkcYZhEJsUy//N38SsladxZ9FT3WGz0a9tJYZ1qnHZj30l2rdvz8SJEzNsW7ZsGffddx9gBvbXXnuNadOmceDAAZKTk0lKSiIg4MrmG3jssce4//77Wbx4Mf/88w8//PADr732Gj/99BOdOnVKO65Vq1Zpl728vGjatCmbNm1K2zZhwgQmTZrE3r17SUhIIDk5mYYNGwJw5MgRYmJiuOGGG7KsYe3atZw9e5bw8PAM2xMSEtixY8dlPY+mTZtmus+lS5emdX0H8/8sMTGR+Pj4y3rMYcOGMXDgQL766is6duzInXfemdbdXiQ7CukickXuqH4HkzdMznKfDRuRxSLZe3Yv83bPY97ueYT6hnJj5RvpWqUr9UrU0wd3yTdFeQUCwzBIcafgdDvTvpJdyeZllzPD9gz7Uvefu22yK5nf9/1+0XGwxbyLMaD+AO6odgfh/uHZHieFz7Xlr2Xm7TP53/L/8dOOn5i8fjJ/7vuTV9u+Sr0S9awuL8/YbLZLdjlPdiVzMO4gZ5PP0qVBMWatPJ3lcQYG97WomKtd2NMLDAykWrVqGbbt378/7fJbb73Fu+++y/jx46lfvz6BgYEMHTo0bYK1KxEUFETXrl3p2rUrr7zyCl26dOGVV17JENIv5vvvv+fpp5/m7bffplWrVgQFBfHWW2+xbJm5XKO/v/9Fb3/27FnKli2b5QztlzuLfWBgxp4/Z8+eZcyYMXTv3j3TsX5+fpf1mKNHj6Z3797MmTOHX3/9lVGjRvH555/Tu3fvy6pJiiaPCOkTJkzgrbfe4tChQzRo0ID3338/yy42AJ9++ilffvkl69eb3eqaNGnCa6+9lu3xIpK7KgZXZEzrMYyKGpVhdncDgzGtx3B71dvZdGITP+/4mbm75nIi8QTfbf6O7zZ/R6XgStxa5VZurXorEcUirH4qUoil756d2ysQZAi/FwZeV9aXM4Tgixx3ObdLcaeQ7E7OMmw7XU6S3cmkuFMu/URygQ0bbSPaMrD+wHx5PPE8Ib4hvNr2VW6ocANjo8ey8/RO7pt7H/3r9efhBg97zFrf+cUwDE4knuBI/BHchhubzUajiAjeuDOM4TP+Oz+7e+r3N++8hkolrBsSsnTpUm6//fa0lnW3283WrVupU6fOVd2vzWajVq1aREVFZdj+zz//cO211wKQkpLCypUr0yZ+W7p0Ka1bt+bRRx9NOz59C3hQUBCVKlVi0aJFtG/fPtNjNm7cmEOHDuHl5UWlSpWuqv7097lly5ZMJzqu9DFr1KhBjRo1ePLJJ+nVqxfffPONQrpclOUhferUqQwbNoyPPvqIFi1aMH78eLp06cKWLVsoVapUpuMXL17MPffckzYz5Jtvvknnzp3ZsGEDERH60C+SH7pV60bjUo2ZuW1mWitl9+rd09ZTrxNehzrhdXiq6VNEx0Tz886f+WPvH+yO3c0Haz7ggzUf0LhUY7pW7Uqnip0I8Q2x+BlJYbIndg+jo0bjxp1p34ilI/hj3x/42n3NEHyRsJtdq3P6bt8FhQ0bPg4fvO3e578cF3xP95X+2G2ntrHj1I4s56Gw2+w64SYAdKjQgcalGvPav6/x665f+fS/T1m8fzGvtnmV2uG1rS4vXySmJBITF0OCMwEwl7ArF1gOXy9f7m4KzSuFMzXdOuk9m0ZaGtABqlevzvTp04mKiiI0NJRx48Zx+PDhKwrpa9asYdSoUfTp04c6derg4+PDn3/+yaRJk3juuecyHDthwgSqV69O7dq1eeeddzh58iT9+/dPq+XLL79k3rx5VK5cma+++orly5dTuXLltNuPHj2ahx9+mFKlSnHTTTdx5swZli5dyuOPP07Hjh1p1aoV3bp143//+x81atQgJiaGOXPmcMcdd2Tqyn45Ro4cya233kqFChXo0aMHdrudtWvXsn79el555ZVLPmbdunV55pln6NGjB5UrV2b//v2sWLGCW2655YprkaLF8pA+btw4Bg0alDZJw0cffcScOXOYNGkSw4cPz3T8N998k+H6Z599xowZM1i0aBH3339/vtQsIlAhuMIlZ3H3snvRrnw72pVvR5wzjoV7FvLzzp/59+C/rDqyilVHVvHastfSxq+3i2hXINaIFc+UkJLAsoPL+GD1B1kG9HN+3/t7rj6ul90r24CbIQBfGIZTr/vYfbLdd8kQfZm387Ln/M/9ntg93Db7tiy7vBsYdK+euRuoFE3F/Yrzv2v/R6eKnXg5+mW2ndxG7zm9efCaBxl4zcBCOz+J23BzLOEYxxKOYRgGdpud0oGlCfUNzTDEq1KJQJ67sZaFlWb20ksvsXPnTrp06UJAQAD/396dx0VVvX8A/9wZdoZhVfZVkEXZFBdARRPFNdFMMzM1sxJN+Wpq5oJYlmkatlhWBlaumRuECyKLIoIooCiCIggoCIrsIMuc3x/8uDmBCsYyyvN+veZlc8+5555752mY5y7nvPfee/D29kZJSfO35zfHyMgIZmZm8Pf356daa3z/v//9T6ruhg0bsGHDBiQlJcHS0hJHjx6Fjo4OAOD9999HYmIipk6dCo7jMG3aNPj4+ODYsWP8+jNnzkR1dTW+/vprfPTRR9DR0cHkyZMBNFy9Dw0NxcqVKzF79mwUFhZCT08PQ4YMga6u7nMdHy8vL4SEhGDdunX48ssvIS8vDxsbG7z77rst2qZQKMSDBw/w9ttv4969e9DR0cHEiROxYsWK5+oP6To41tYTLrZCTU0NVFRUcODAAXh7e/PLZ86cieLiYhw5cuSZbZSVlaF79+74888/MW7cuCbljx49wqNHj/j3paWlMDY2xv379yEWi9tkP8iLoba2FmFhYRgxYgTk5V/OHwovinuV93As6xhCM0Nxs+Qmv1xDUQMjTEZgrPlY2Gvbd7nn1ylGWy+vIg9n757FmTtncOHeBTyqf/TU+hw4WGlY4VWLV/kkVk4g15AoP5bcNibejy+XE/6TjDculxPIdYk4PXrrKNadXweOaxjdXcAJwBjDmoFr8KrFq53dPSKDiqqL8MWFLxCeEw4AsNG0wdqBa9FTs2UDpD2vtv4era6uRk5ODszMzKCk1HSauaq6KuRV5PHfPSIFEfRV9P/TibGXUVZWFnr06IGLFy/yA8F1VYwxlJWVQU1NrUv8/ehqqqurkZWVBWNj4ybfGaWlpdDR0UFJSckz89BOTdLv3r0LQ0NDnDt3Tmq0x2XLliEqKoofKOJpfHx8cOLECVy9erXZL8+1a9dKTefQaPfu3a0euZIQ0rYYY8ivz0dSbRKSa5JRzsr5Mm2BNhwVHOEk7wQt4bPnNiVdg4RJkFufi7TaNKTVpiFfki9VrsFpQIVTQZ4kr9nbszlwGKw4GCOVR3ZUl18aD+of4GLNRTyUPISmQBN9FfpCW0gDxZEnY4zhSu0VBFcFo4pVQQghhikNw2DFwRByrRulvLPIyclBT08PxsbGUFD45/l6CZOgVFKKClYBABBAAHWBOpQ5ZUq8mpGdnQ1HR0dER0fD3t6+s7tDSLupqalBTk4O8vPzUVcnPT5MZWUl3nzzzRYl6S/0ab4NGzZg7969iIyMbDZBB4AVK1Zg8eLF/PvGK+kjR46kK+ldDF2llG11kjrE58cjNCsUp3NO40H9A5yuPo3T1afh1M0JY8zGYITJy/38OsVo88pqynA+/zzO3DmDs3fPovhRMV8m4ARw0HHAEMMhGGwwGBbqFsgpy8GkkElPTNIXj1wMEzWTDtyDl8cbtW9QjJJWGYuxeLfqXayPX4+oO1E4VX0Kd1XuYp3rOlioWzy7gVZqryvpIpGI/61ZUVuBgooC1LJaAA2D5+mq6L4wJx46Q+Nc7aqqql3+9zddSX+5VVdXQ1lZGUOGDGn2SnpLdWqSrqOjA6FQiHv37kktv3fvHvT09J667ldffYUNGzbg1KlTcHBweGI9RUVFKCo2na9TXl6efmB0UfTZyyZ5yMPD1AMeph6orK1EeHY4gjOCEZcfh6TCJCQVJmHTxU0YYjQE4y3GY7DR4Jd21GCK0YbnoKNyohCdG42L9y6ijv1zNlpNXg3uhu4YYjQEgwwHQVNJU2rdHto94O/+5BkIemj16OjdeelQjJLW0JfXx7fDv0XIrRB8Ef8FrhVdw7Rj07DAeQFm2s2EUND2yW1bxWh9fT04joNAIIAEEuRX5KPkUcPz2vICeRiIDCBSEP3n7bzsLCwsnjqVY1cikTSMmdIYV+TlIhAIwHFcs99BrflO6tQkXUFBAX379kV4eDj/TLpEIkF4eDg/HUNzNm7ciPXr1+PEiRPPNVIjIUS2qcirYHyP8RjfYzwKKgsQeisUwbeCkf4wHeHZ4QjPDodYQYxRZqMwvsd4OHZzpLPRL7haSS0S7yUiKrchMc8qzZIqNxObwcPIAx7GHnDq7vTMAaieNQMBIaRjcRyH8T3Go79ef/jH+uPMnTP4+uLXCM8Ox2fun8Fc3fzZjXSispoyPKh8gHpJPQBAS1kL3ZW7t8sJBkII6fTb3RcvXoyZM2fCxcUF/fv3R0BAACoqKvjR3t9++20YGhriiy++AAB8+eWXWLNmDXbv3g0zMzPk5zc8jygSifhbaQghL4/uKt0xq/cszOo9C2lFafj71t/4+9bfKKgqwP70/difvh/GasYN869bjKMk7AXysPohzt45i6jcKMTciUF57T9jEshxcuir1xceRh4YYjQEpmLTVrffkhkICCEdS1dVF98P/x6Hbx7GxgsbcbnwMl4Pfh0LnRdiuu10mUt6CysLUVRdhLqKOgjkBVCUU4SBqgFU5GlcI0JI++n0JH3q1KkoLCzEmjVrkJ+fDycnJxw/fpyfKiE7O1vqVpAffvgBNTU1/HQLjfz8/LB27dqO7DohpINZa1nDWssai/osQnx+PEJuhSDsdhhyynLwQ/IP+CH5Bzh0c8B4i/EYZTYKGkoand1l8hjGGG4U30B0bjSicqKQXJgs9dy4pqImBhsNhoeRB1wNXKGmoNaJvSWEtBeO4zDRaiIG6g+E3zk/xObFYlPCJoRnh+NT909l4mSrhEnwZ9qf2J2yGwtNF0Id6uim0g06yjoQcHSLMiGkfXV6kg4ACxYseOLt7ZGRkVLvs7Ky2r9DhBCZJhQI4WrgClcDV6wcsBKnc04jJCMEsXmxuFx4GZcLL+PLC19isOFgjO8xHh5GHi/t8+uy7lH9I8TnxfO3sedV5EmVW2taY4jREHgYe6C3dm+Zu4pGCGk/+iJ9bB+xHQduHMBXF77CpYJLmBw8Gb59fPGGzRudlgxnlmRi7bm1uFRwCfoK+lAQKsBYzRjqKi/vwKWEENkiE0k6IYQ8LxV5Ff5W98LKQoRmhiLkVgiuF11HRE4EInIioKagBi8zL4y3GA/n7s70/Ho7K6gsaLhanhuFuLw4VNVV8WWKQkUM0B/A38aup/r0QUIJIS83juPwes/X4WbghjUxaxCfH48v4r9AeHY41rmvg6HIsMP6UiupRVBKEH5M/hE1khooyyljrsNcaHPaUJRrOggxIYS0F0rSCSEvjW4q3TCz10zM7DUTNx7eQMitEPx962/cq7yHA+kHcCD9AAxFhnxSb6Zu1tldfilImASpD1IRmRuJqJwopBalSpV3V+neMOibkQf66/eHspxyJ/WUECKrDEWG+Hnkz9iXtg9fX/wa8fnxmHRkEpa4LMHrPV9v95OrV+9fhd85P6Q9TAMAuBu6Y83ANdCS00JmZma7bpsQQv6NknRCyEvJStMK/+v7Pyx0XoiEewkIzghG2O0w3Cm/g+2Xt2P75e2w17HHOItxGG0+usk0XuTpKmsrEZsXi+jcaETnRuN+1X2+jAMHex17/jZ2a01runuBEPJMAk6AaTbTMMhgEFbFrMKlgkv49PynOHX7FNa5r2uXO2+q6qqwLWkbfrv2GyRMAg1FDSzrtwzjLMaB4zhUV1e3+TZJ58rKyoK5uTkSExPh5OTU2d2ROUOHDoWTkxMCAgI6uytdGiXphJCXmlAgxAD9ARigPwArB65ERHYEgm8FI/ZuLK7cv4Ir969g04VNGGQ4CON6jMNQ46FQFNJtjc3JLcvlk/L4/HjUSmr5MhU5Fam5y3WUdTqxp4SQF5mx2BiBowKxK3UXtl7aiti8WEw8MhHL+i2Dt6V3m530i8uLg3+sP3LKcgAAo81HY3m/5dBW1m6T9pt4kAEk/g4UZwMaJoDzDEC7R/ts6zGxsbEYNGgQRo0ahb///rvV669duxaHDx9GUlJS23fuJZWbmwsLCwv07NkTKSkpnd2dDtV4EqSRSCSCiYkJhg4dCl9fX1hZWbWqPY7jcOjQIX667rYQFBQEX19fFBcXt1mbbY2SdEJIl6Esp4wxFmMwxmIM7lfdx/HM4wi+FYxrD64hMjcSkbmRUJNXw0izkRhnMQ59dPt06VF86yR1uFx4mR/07WbxTalyI5ERhhoPxRCjIeir25cG5yOEtBkBJ8AMuxkYZDgIq2NWI7kwGWvOrUHY7TD4ufpBV1X3udsueVSCLRe34OCNgwAAXRVdrHFdgyFGQ9qq+00l/gEc/RAAB4A1/BuzFXj1O8B5evttF8COHTvw4YcfYseOHbh79y4MDAzadXtdQU1NDRQUnvw3LygoCFOmTEF0dDTi4uIwYMCADuydbDh16hR69eqFyspKXLlyBVu3boWjoyOCg4MxfPjwzu5em6ivrwfHcVIzkbWVrvvrkxDSpeko6+Atu7ewb9w+HJ5wGO/avws9VT2U1Zbhrxt/YfaJ2Rj912h8c+kb3Cq51dnd7TAlj0pwLPMYPj7zMYbuH4qZx2fi15RfcbP4JoScEC66LljSdwmOeB9B6KRQLO+/HK4GrpSgE0Lahbm6OXaO2onFfRdDQaCAM3fOYOLRiQjOCAZj7NkN/Mup26fgfcSbT9CnWk/F4QmHW5egMwbUVLT8lX+lIUFnEoDVS/97dAGQn9Lytlq5z+Xl5di3bx/mzZuHsWPHIigoSKo8KCgIGhoaUssOHz7M360QFBQEf39/JCcng+M4cBzHt5GdnY0JEyZAJBJBLBZjypQpuHfvnlRbR44cQZ8+faCkpAQLCwv4+/ujrq6OL+c4Dr/88gsmTpwIFRUVWFlZ4ejRo1JtXL16FePGjYNYLIaamhoGDx6MjIwMAIBEIsG6detgZGQERUVFfirnx8XHx8PZ2RlKSkpwcXFBYmJik+OUkpKC0aNHQyQSQVdXFzNmzMD9+/88xjV06FAsWLAAvr6+0NHRgZeX1xOPOWMMgYGBmDFjBt58803s2LFDqjwrKwuampo4ePAghg0bBhUVFTg6OiI2Nlaq3l9//YVevXpBUVERZmZm2Lx5s1S5mZkZPvvsM7z99tsQiUQwNTXF0aNHUVhYyH8uDg4OSEhI4Nd58OABpk2bBkNDQ6ioqMDe3h579ux54r6sW7cOvXv3brLcyckJq1evfuJ6AKCtrQ09PT1YWFhgwoQJOHXqFAYMGIA5c+agvr6er/e0GDEzMwMATJw4ERzH8e+ftR4AFBcX4/3334euri6UlJTQu3dvhISEIDIyErNnz0ZJSQkf043TeD98+BBvv/02NDU1oaKigtGjR+PGjRt8m43/vxw9ehR2dnZQVFREdnb2U4/Dc2NdTElJCQPASkpKOrsrpIPV1NSww4cPs5qams7uCpFR9ZJ6Fp8Xz1afXc0G7hrIegf15l9Tg6eyP679we5X3m+37XdGjEokEpZRnMECrwSyWcdmMcedjlL77bbbjS2PXs5Cb4Wy4uriDusXkU30PUo6082HN9kbwW/w308LwhewwspCqTpPitGCigLme9qXX3fcwXHsYv7FZ26zqqqKXbt2jVVVVf2z8FE5Y37iznk9Km/VMduxYwdzcXFhjDEWHBzMevTowSQSCV8eGBjI1NXVpdY5dOgQa0wRKisr2ZIlS1ivXr1YXl4ey8vLY5WVlay+vp45OTmxQYMGsYSEBHb+/HnWt29f5uHhwbcTHR3NxGIxCwoKYhkZGezkyZPMzMyMrV27lq8DgBkZGbHdu3ezGzdusIULFzKRSMQePHjAGGMsNzeXaWlpsUmTJrELFy6wtLQ09uuvv7Lr168zxhjbsmULE4vFbM+ePez69ets2bJlTF5enqWnpzPGGCsrK2PdunVjb775JktJSWHBwcHMwsKCAWCJiYmMMcYePnzIunXrxlasWMFSU1PZpUuX2IgRI9iwYcP4fnp4eDCRSMSWLl3Krl+/zm+/OeHh4UxPT4/V1dWxK1euMDU1NVZe/s/nlpGRwQAwGxsbFhISwtLS0tjkyZOZqakpq62tZYwxlpCQwAQCAVu3bh1LS0tjgYGBTFlZmQUGBvLtmJqaMi0tLfbjjz+y9PR0Nm/ePCYWi9moUaPY/v37WVpaGvP29ma2trb8Z56bm8s2bdrEEhMTWUZGBvvmm2+YUChkcXFxUvu6aNEixhhjOTk5TCAQsPj4eL780qVLjOM4lpGR0ez+Z2ZmSh3fxzXGVuP2nhUjBQUFDAALDAxkeXl5rKCgoEXr1dfXs4EDB7JevXqxkydPsoyMDBYcHMxCQ0PZo0ePWEBAABOLxXxMl5WVMcYYe/XVV5mtrS2Ljo5mSUlJzMvLi1laWvLfJ4GBgUxeXp65ubmxmJgYdv36dVZRUSG1j81+Z/y/1uShlKSTLoN+XJLWqKqtYscyj7H5p+Yzp51O/A87x52OzOeUDzt26xirqm36BfxfdFSM1tTVsHN3zrENcRvY6L9GSyXlvYN6M+/D3mxLwhZ2Mf8iq62vbde+kBcLfY+SzlZbX8t+Sv6JOf3W8L3svsedhd4K5ZOQf8eoRCJhB9IOMNddrqx3UG/mtNOJbb24lVXXVbdoey96ku7m5sYCAgIajl1tLdPR0WERERF8+bOSdMYY8/PzY46OjlJ1Tp48yYRCIcvOzuaXXb16lQHgE7rhw4ezzz//XGq933//nenr6/PvAbBVq1bx78vLyxkAduzYMcYYYytWrGDm5uZP/M4xMDBg69evl1rWr18/5uPjwxhjbPv27UxbW1vq8/vhhx+kkshPP/2UjRw5UqqNnJwcBoClpaUxxhoSV2dn52b78G9vvvkm8/X15d87OjpKJdeNSfpPP/3EL2s8dqmpqXwbI0aMkGp36dKlzM7Ojn9vamrK3nrrLf59Xl4eA8BWr17NL4uNjWUAWF5e3hP7O3bsWLZkyRL+/eNJOmOMjR49ms2bN49//+GHH7KhQ4c+sb2nJempqakMANu3bx9jrOUxcujQIak6z1rvxIkTTCAQ8J/fvzUX9+np6QwAi4mJ4Zfdv3+fKSsrs/379/PrAWBJSUlP3P+2StLpmXRCCGmGkpwSRpmNwiizUSiqLsKxzGMIyQhByoMUfvA0kbwII0xHYJzFOLjoucj08+sPqh7gzJ0ziM6Nxrm751BRW8GXyQvk0U+vX8No7EYeMFIz6sSeEkLIk8kJ5DDXYS48jD2w6uwqpBalYln0MoTdDsNMu5kIvx2OhIoEZCRlwNXQFb9c+QXx+fEAgF7aveDv5g9rLev/1gl5FeCTuy2vH/E5cP6Hhlvc/40TAgPnAcM+afm2WygtLQ3x8fE4dOgQAEBOTg5Tp07Fjh07MHTo0Ba305zU1FQYGxvD2NiYX2ZnZwcNDQ2kpqaiX79+SE5ORkxMDNavX8/Xqa+vR3V1NSorK6Gi0rAvDg4OfLmqqirEYjEKCgoAAElJSRg8eDDk5eWb9KG0tBR3796Fu7u71HJ3d3ckJyfz/XRwcICSkhJf7urqKlU/OTkZEREREIlETbaRkZGBnj17AgD69u37zONSXFyMgwcP4uzZs/yyt956Czt27MCsWbOk6j6+3/r6+gCAgoIC2NjYIDU1FRMmTGiyXwEBAaivr4dQKGzShq5uwzgN9vb2TZYVFBRAT08P9fX1+Pzzz7F//37cuXMHNTU1ePToEf9ZNGfu3Ll45513sGXLFggEAuzevRtff/31M49Fc9j/P67R+DhFS2Pk3561XlJSEoyMjPjPriVSU1MhJycnNX6AtrY2rK2tkZr6z9SyCgoKUse9vVCSTgghz6ClpIXpttMx3XY6bpXcQkhGw/zrdyvu4tDNQzh08xD0VPUw1nwsxvcYjx4a7T9a77MwxpD+MB1RuVGIyo3ClcIrYPjnWUZtJW0+KR9oMBCq8qqd2FtCCGmdnpo9sWvsLvxy5Rf8lPwTwm6HIex2GAQQgIEh5VoKAq8FAgCUhEpY4LwA022nQ07QBj99OQ5QaMV3pss7wPltTyhkDeWtaa+FduzYgbq6OqmB4hhjUFRUxHfffQd1dXUIBIImz/bX1tb+u6nnUl5eDn9/f0yaNKlJ2eNJ878TcI7jIJFIAADKyspt0penKS8vx/jx4/Hll182KWtMnoGGEwjPsnv3blRXV0sleowxSCQSpKenSyWNj+93Y9LauN8t1VwbT2t306ZN2Lp1KwICAmBvbw9VVVX4+vqipqbmidsYP348FBUVcejQISgoKKC2thaTJ09uVT8bNSa7jaO/tzRG/u1Z67Vn3CgrK3fItLKUpBNCSCtYqFtgYZ+FWOC8AJfuXULIrRCczDqJ/Ip87EjZgR0pO2CrZYvxPcZjtPnoDp2KrLquGvH58YjKaUjM71VKD+Bjq2ULD2MPeBh5wE7bTqav/BNCyLPIC+Qxz3EerDWssShyEQBAgqZJznfDv8MA/U4cXVu7R8Mo7kcXQGp0d7CG5e0wDVtdXR1+++03bN68GSNHjpQq8/b2xp49e/DBBx+gW7duKCsrQ0VFBZ+E/nuqNQUFBamBvgDA1tYWOTk5yMnJ4a+mX7t2DcXFxbCzswMA9OnTB2lpabC0tHzu/XBwcMDOnTtRW1vbJJkXi8UwMDBATEwMPDw8+OUxMTHo378/38/ff/8d1dXVfNJ3/vx5qXb69OmDv/76C2ZmZpCT+2+p0Y4dO7BkyZImV819fHzw66+/YsOGDS1qx9bWFjExMVLLYmJi0LNnT/4q+vOIiYnBhAkT8NZbbwEAf/Kg8TNrjpycHGbOnInAwEAoKCjgjTfeeK4kWCKR4JtvvoG5uTmcnZ0BtCxG5OXlm8Tfs9ZzcHBAbm5ukxMjjZ4U03V1dYiLi4ObmxuAhoH20tLSnnp82gsl6YQQ8hwEnAAuei5w0XPBigErEJUTheBbwTibexapRalILUrF5oTNcDVwxXiL8RhmMgzKcm1/Zje/Ip+//T4uLw7V9dV8mZJQCQMNBsLDyAODDQf/pymLCCFEVl2+fxlCToj6Zm4nF3JCxN6N7dwkHWiYZs1kYIfNkx4SEoKHDx9izpw5UFdXlyp77bXXsGPHDnzwwQcYMGAAVFRU8Mknn2DhwoWIi4trMgK8mZkZMjMz+VuI1dTU4OnpCXt7e0yfPh0BAQGoq6uDj48PPDw84OLiAgBYs2YNxo0bBxMTE0yePBkCgQDJyclISUnBZ5991qL9WLBgAb799lu88cYbWLFiBdTV1XH+/Hn0798f1tbWWLp0Kfz8/NCjRw84OTkhMDAQSUlJ2LVrFwDgzTffxMqVKzF37lysWLECWVlZ+Oqrr6S2MX/+fPz888+YNm0ali1bBi0tLdy8eRN79+7FL7/80uKkOCkpCZcuXcKuXbtgY2MjVTZt2jSsW7euxfu9ZMkS9OvXD59++immTp2K2NhYfPfdd9i27Ul3ZLSMlZUVDhw4gHPnzkFTUxNbtmzBvXv3npmEvvvuu7C1tQWAJicPnuTBgwfIz89HZWUlUlJSEBAQgPj4ePz999/8MW1JjJiZmSE8PBzu7u5QVFSEpqbmM9fz8PDAkCFD8Nprr2HLli2wtLTE9evXwXEcRo0aBTMzM5SXlyM8PByOjo78zAITJkzA3LlzsX37dqipqeHjjz+GoaFhk0cPOgJdRiGEkP9IUaiIkWYj8e0r3+L0lNP4ZMAncNBxQD2rx9k7Z7H8zHIM3TcUK8+uxPm886iXNPNcYgtJmASXCy/j28Rv8Xrw6xhxYAQ+Pf8ponKjUF1fDX1VfUy1noptw7fhzBtn8O0r32Jyz8mUoBNCXlp3y+9KPc7zOAaGu+WteH68PWn3ADzXApN/bfi3nRJ0oOGKrqenZ5MEHWhI0hMSEnD58mVoaWnhjz/+QGhoKD8dV+N0VI/XHzVqFIYNG4Zu3bphz5494DgOR44cgaamJoYMGQJPT09YWFhg3759/HpeXl4ICQnByZMn0a9fPwwcOBBff/01TE1NW7wf2traOH36NMrLy+Hh4YG+ffvi559/5q+qL1y4EIsXL8aSJUtgb2+P48eP4+jRo7CysgIAiEQiBAcH48qVK3B2dsbKlSub3NbeeDW+vr4eI0eOhL29PXx9faGhodGq+a937NgBOzu7Jgk60DCFWEFBAUJDQ1vUVp8+fbB//37s3bsXvXv3xpo1a7Bu3bomV+hba9WqVejTpw+8vLwwdOhQ6Onpwdvb+5nrWVlZwc3NDTY2Ni2e893T0xP6+vqwt7fHxx9/DFtbW1y+fBnDhg3j67QkRjZv3oywsDAYGxvzV+Bbst5ff/2Ffv36Ydq0abCzs8OyZcv4q+dubm744IMPMHXqVHTr1g0bN24EAAQGBqJv374YN24cXF1dwRhDaGhos2MitDeO/ftBlJdcaWkp1NXVUVJSArFY3NndIR2otrYWoaGhGDNmTKf8z0a6nqySLITcCkHIrRDcKb/DL++u0h1jLcZivMV4WGk2/JC4XXobf6X9hYQbCXCxcsFr1q/BVNzwx6a8phyxebGIyonCmTtnUFRdxLfFgYNjN0d4GHtgiNEQWGlYdcizUqRrou9RIosCLgYg6GrQE6+kz+o1C759fZ+r7erqamRmZsLc3Pypz8gS0lISiQSlpaUQi8WtOgnQmRhjsLKygo+PDxYvXtzZ3ZFpT/vOaE0eSre7E0JIOzFTN8MC5wWY7zQfSYVJCM4IxvGs4yioLEBgSiACUwJho2UDU7EpwrLCGgbLYRJcS72GoGtBGG0+GkXVRUi4l4A6SR3frkheBHdDd3gYecDd0B1aSlqduJeEENK5JlpNRODVwGbLGBgmWTUdXIoQ0jKFhYXYu3cv8vPzMXv27M7uTpdBSTohhLQzjuPg3N0Zzt2d8XH/jxGdG43gjGBE34nG9aLruF50vaHi/9/X1Hg1KDTzn9vizMRm/GjszrrOkBfQVUxCCAEAU7Ep/N384XfODxwaTnYKuIZR3v3d/GEiNunsLhLywurevTt0dHTw008/QVNTs7O702VQkk4IIR1IQagAT1NPeJp6ori6GMujl+Nc3rkn1h+gNwCrBq6CmbpZx3WSEEJeMN6W3ujTvQ8OpB3gHxuabD2ZEnRC/qMu9mS0zKAknRBCOomGkgbUFdUh4ASQsKbTBgk4AbSUtChBJ4SQFjARm+BDpw8RejcUY5xo3ARCyIvrxRitgBBCXlIGIgNwaH6gNw4cDEQGHdwjQgghhBDSmShJJ4SQTjTRauJTpw6iAY8IIYQQQroWStIJIaQTNQ54JOAEEHJCcOAg5IQQcAIa8IgQQgghpAuiZ9IJIaST0YBHhBBCCCGkESXphBAiA2jAI0IIIYQQAtDt7oQQQgghhJCnyMrKAsdxSEpKAgBERkaC4zgUFxd3ar9a49/70NntEPI0lKQTQgghhBDSzm6X3kbAxQAsi1qGgIsBuF16u923mZOTg3feeQcGBgZQUFCAqakpFi1ahAcPHvyndt3c3JCXlwd1dfU26mnzZs2aBW9v73bdRmu3b2xsjLy8PPTu3btdt7127VpwHNfkderUqXbd7rP65OTk1Gnb70rodndCCCGEEELa0aEbh7A2di04cGBg4MAh8Gog/N384W3p3S7bvHXrFlxdXdGzZ0/s2bMH5ubmuHr1KpYuXYpjx47h/Pnz0NLSeq62FRQUoKen18Y9fjEIhcIO2/devXo1Scqf9zOrqamBgoJCW3SLdAC6kk4IIYQQQkgLMcZQWVvZ4tf1B9ex9txaSJgE9axe6l+/GD+kFaW1uC3Gmp+ysznz58+HgoICTp48CQ8PD5iYmGD06NE4deoU7ty5g5UrV/J1zczM8Pnnn+Odd96BmpoaTExM8NNPPz2x7X/f7h4UFAQNDQ2cOHECtra2EIlEGDVqFPLy8qTW++WXX2BrawslJSXY2Nhg27ZtrTr2Bw4cgL29PZSVlaGtrQ1PT09UVFQAACQSCdatWwcjIyMoKirCyckJx48ff2Jb9fX1mDNnDszNzaGsrAxra2ts3bqVL1+7di127tyJI0eO8FexIyMjm73dPSoqCv3794eioiL09fXx8ccfo66uji8fOnQoFi5ciGXLlkFHRwfW1tbw9/d/5v7KyclBT09P6tWYaF+5cgWvvPIKfyzee+89lJeX8+s23gWwfv16GBgYwNraGkDD3RVTpkyBhoYGtLS0MGHCBGRlZfHrRUZGon///lBVVYWGhgbc3d1x+/ZtBAUFwd/fH8nJyfzxCAoKeuY+kOdDV9IJIYQQQghpoaq6KgzYPaBN2pJAgsnBk1tcP+7NOKjIqzyzXlFREU6cOIH169dDWVlZqkxPTw/Tp0/Hvn37sG3bNnAcBwDYvHkzPv30U3zyySc4cOAA5s2bBw8PDz65e5bKykp89dVX+P333yEQCPDWW2/ho48+wq5duwAAu3btwpo1a/Ddd9/B2dkZiYmJmDt3LlRVVTFz5sxntp+Xl4dp06Zh48aNmDhxIsrKynDmzBn+xMXWrVuxefNmbN++Hc7Ozvj111/x6quv4urVq7CysmrSnkQigZGREf78809oa2vj3LlzeO+996Cvr48pU6bgo48+QmpqKkpLSxEYGAig4Sr23bt3pdq5c+cOxowZg1mzZuG3337D9evXMXfuXCgpKWHt2rV8vZ07d2Lx4sWIjY1FREQEfHx8MGjQIIwYMaJFx/dxFRUV8PLygqurKy5cuICCggK8++67WLBggVTiHB4eDrFYjLCwMABAbW0tv96ZM2cgJyeHzz77DKNGjcLly5chEAjg7e2NuXPnYs+ePaipqUF8fDw4jsPUqVORkpKC48eP81f32/txh66MknRCCCGEEEJeIjdu3ABjDLa2ts2W29ra4uHDhygsLET37t0BAGPGjIGPjw8AYPny5fj6668RERHR4iS9trYWP/74I3r06AEAWLBgAdatW8eX+/n5YfPmzZg0aRIAwNzcHNeuXcP27dtbnKTX1dVh0qRJMDU1BQDY29vz5V999RWWL1+ON954AwDw5ZdfIiIiAgEBAfj++++btCcvLy91Ndvc3ByxsbHYv38/pkyZApFIBGVlZTx69Oipt7dv27YNxsbG+O6778BxHGxsbHD37l0sX74ca9asgUDQcOOyg4MD/Pz8IJFIoKuri19//RXh4eFPTdKvXLkCkUjEv7ezs0N8fDx2796N6upq/Pbbb1BVVQUAfPfddxg/fjy+/PJL6OrqAgBUVVXxyy+/8Fff//jjD0gkEvzyyy/8yZnAwEBoaGggMjISLi4uKCkpwbhx4/jP8fEYEolE/NV90r4oSSeEEEIIIaSFlOWUEfdmXIvrf5/0PXal7kI9q29SJuSEmG47HfOd5rd4263RmtvjHRwc+P/mOA56enooKCho8foqKip8YgcA+vr6/PoVFRXIyMjAnDlzMHfuXL5OXV1di6/GOjo6Yvjw4bC3t4eXlxdGjhyJyZMnQ1NTE6Wlpbh79y7c3d2l1nF3d0dycvIT2/z+++/x66+/Ijs7G1VVVaipqWn1wGipqalwdXXlk97G7ZaXlyM3NxcmJiYApI8vgBYdX2traxw9epR/r6ioyG/T0dGRT9AbtymRSJCWlsYn6fb29lLPoScnJ+PmzZtQU1OT2k51dTUyMjIwcuRIzJo1C15eXhgxYgQ8PT0xZcoU6Ovrt+aQkDZASTohhBBCCCEtxHFci245bzTFegr+SP2j2TIGhqnWU1vVXktYWlqC4zikpqZi4sSJTcpTU1OhqamJbt268cvk5eWl6nAcB4lE0uJtNrd+40mCxmelf/75ZwwYIP2ogFAobFH7QqEQYWFhOHfuHE6ePIlvv/0WK1euRFxcHLS1tVvcz0Z79+7FRx99hM2bN8PV1RVqamrYtGkT4uJafgKmNZ7n+CooKMDS0vK5t/l4Eg80fA59+/blH0F4XGMsBAYGYuHChTh+/Dj27duHVatWISwsDAMHDnzufpDWo4HjCCGEEEIIaSemYlP4u/lDwAkg5IRS//q7+cNEbNLm29TW1saIESOwbds2VFVVSZXl5+dj165dmDp1qtTV3/akq6sLAwMD3Lp1C5aWllIvc3PzFrfDcRzc3d3h7++PxMREKCgo4NChQxCLxTAwMEBMTIxU/ZiYGNjZ2TXbVkxMDNzc3ODj4wNnZ2dYWloiIyNDqo6CggLq65veAfE4W1tbxMbGSt21EBMTAzU1NRgZGbV431rD1tYWycnJ/KB5jdsUCARPfTyhT58+uHHjBrp3797kc3j8jgZnZ2esWLEC586dQ+/evbF7924ALTsepG1Qkk4IIYQQQkg78rb0RrB3MGb1mgUvUy/M6jULwd7B7Tb9GtDwjPKjR4/g5eWF6Oho5OTk4Pjx4xgxYgQMDQ2xfv36dtt2c/z9/fHFF1/gm2++QXp6Oq5cuYLAwEBs2bKlRevHxcXh888/R0JCArKzs3Hw4EEUFhbyz0wvXboUX375Jfbt24e0tDR8/PHHSEpKwqJFi5ptz8rKCgkJCThx4gTS09OxevVqXLhwQaqOmZkZLl++jLS0NNy/fx+1tbVN2vHx8UFOTg4+/PBDXL9+HUeOHIGfnx8WL17MP4/e1qZPnw4lJSXMnDkTKSkpiIiIwIcffogZM2bwt7o/aT0dHR1MmDABZ86cQWZmJiIjI7Fw4ULk5uYiMzMTK1asQGxsLG7fvo2TJ0/ixo0b/DE2MzNDZmYmkpKScP/+fTx69Khd9o/Q7e6EEEIIIYS0OxOxCXz7+nbY9hqTUD8/P0yZMgVFRUXQ09ODt7c3/Pz8nnu+7ef17rvvQkVFBZs2bcLSpUuhqqoKe3t7+Pr6tmh9sViM6OhoBAQEoLS0FKampti8eTNGjx4NAFi4cCFKSkqwZMkSFBQUwM7ODkePHm12ZHcAeP/995GYmMjfUTBt2jT4+Pjg2LFjfJ25c+fyA6qVl5cjIiICZmZmUu0YGhoiNDQUS5cuhaOjI7S0tDBnzhysWrXquY5TS6ioqODEiRNYtGgR+vXrBxUVFbz22mvPPOGhoqKC6OhoLF++HJMmTUJZWRkMDQ0xfPhwiMViVFVV4fr169i5cycePHgAfX19zJ8/H++//z4A4LXXXsPBgwcxbNgwFBcXIzAwELNmzWq3/ezKONaaESVeAqWlpVBXV0dJSQnEYnFnd4d0oNraWoSGhmLMmDFNngsiRBZQjBJZRzFKZF1bx2h1dTUyMzNhbm4OJSWlNugh6eokEglKS0shFovb7Uo76TxP+85oTR5KkUEIIYQQQgghhMgIStIJIYQQQgghhBAZQUk6IYQQQgghhBAiIyhJJ4QQQgghhBBCZAQl6YQQQgghhDxFFxtnmRDynNrqu4KSdEIIIYQQQprROEJ8ZWVlJ/eEEPIiqKmpAQAIhcL/1A7Nk04IIYQQQkgzhEIhNDQ0UFBQAKBhnmmO4zq5V+RFJpFIUFNTg+rqapqC7SUjkUhQWFgIFRUVyMn9tzSbknRCCCGEEEKeQE9PDwD4RJ2Q/4IxhqqqKigrK9MJn5eQQCCAiYnJf/5sKUknhBBCCCHkCTiOg76+Prp3747a2trO7g55wdXW1iI6OhpDhgzhH6cgLw8FBYU2uUOCknRCCCGEEEKeQSgU/ufnTAkRCoWoq6uDkpISJenkiehBCEIIIYQQQgghREZQkk4IIYQQQgghhMgIStIJIYQQQgghhBAZ0eWeSW+cYL60tLSTe0I6Wm1tLSorK1FaWkrPABGZRDFKZB3FKJF1FKNE1lGMdl2N+WdjPvo0XS5JLysrAwAYGxt3ck8IIYQQQgghhHQlZWVlUFdXf2odjrUklX+JSCQS3L17F2pqajQ3YRdTWloKY2Nj5OTkQCwWd3Z3CGmCYpTIOopRIusoRomsoxjtuhhjKCsrg4GBwTOnaetyV9IFAgGMjIw6uxukE4nFYvpSJDKNYpTIOopRIusoRomsoxjtmp51Bb0RDRxHCCGEEEIIIYTICErSCSGEEEIIIYQQGUFJOukyFBUV4efnB0VFxc7uCiHNohglso5ilMg6ilEi6yhGSUt0uYHjCCGEEEIIIYQQWUVX0gkhhBBCCCGEEBlBSTohhBBCCCGEECIjKEknhBBCCCGEEEJkBCXphBBCCCGEEEKIjKAknbxQvvjiC/Tr1w9qamro3r07vL29kZaWJlWnuroa8+fPh7a2NkQiEV577TXcu3dPqk52djbGjh0LFRUVdO/eHUuXLkVdXZ1UncjISPTp0weKioqwtLREUFBQe+8eecls2LABHMfB19eXX0bxSWTBnTt38NZbb0FbWxvKysqwt7dHQkICX84Yw5o1a6Cvrw9lZWV4enrixo0bUm0UFRVh+vTpEIvF0NDQwJw5c1BeXi5V5/Llyxg8eDCUlJRgbGyMjRs3dsj+kRdbfX09Vq9eDXNzcygrK6NHjx749NNP8fhYxxSjpCNFR0dj/PjxMDAwAMdxOHz4sFR5R8bjn3/+CRsbGygpKcHe3h6hoaFtvr9EBjBCXiBeXl4sMDCQpaSksKSkJDZmzBhmYmLCysvL+ToffPABMzY2ZuHh4SwhIYENHDiQubm58eV1dXWsd+/ezNPTkyUmJrLQ0FCmo6PDVqxYwde5desWU1FRYYsXL2bXrl1j3377LRMKhez48eMdur/kxRUfH8/MzMyYg4MDW7RoEb+c4pN0tqKiImZqaspmzZrF4uLi2K1bt9iJEyfYzZs3+TobNmxg6urq7PDhwyw5OZm9+uqrzNzcnFVVVfF1Ro0axRwdHdn58+fZmTNnmKWlJZs2bRpfXlJSwnR1ddn06dNZSkoK27NnD1NWVmbbt2/v0P0lL57169czbW1tFhISwjIzM9mff/7JRCIR27p1K1+HYpR0pNDQULZy5Up28OBBBoAdOnRIqryj4jEmJoYJhUK2ceNGdu3aNbZq1SomLy/Prly50u7HgHQsStLJC62goIABYFFRUYwxxoqLi5m8vDz7888/+TqpqakMAIuNjWWMNXzRCgQClp+fz9f54YcfmFgsZo8ePWKMMbZs2TLWq1cvqW1NnTqVeXl5tfcukZdAWVkZs7KyYmFhYczDw4NP0ik+iSxYvnw5GzRo0BPLJRIJ09PTY5s2beKXFRcXM0VFRbZnzx7GGGPXrl1jANiFCxf4OseOHWMcx7E7d+4wxhjbtm0b09TU5OO2cdvW1tZtvUvkJTN27Fj2zjvvSC2bNGkSmz59OmOMYpR0rn8n6R0Zj1OmTGFjx46V6s+AAQPY+++/36b7SDof3e5OXmglJSUAAC0tLQDAxYsXUVtbC09PT76OjY0NTExMEBsbCwCIjY2Fvb09dHV1+TpeXl4oLS3F1atX+TqPt9FYp7ENQp5m/vz5GDt2bJMYovgksuDo0aNwcXHB66+/ju7du8PZ2Rk///wzX56ZmYn8/HypGFNXV8eAAQOk4lRDQwMuLi58HU9PTwgEAsTFxfF1hgwZAgUFBb6Ol5cX0tLS8PDhw/beTfICc3NzQ3h4ONLT0wEAycnJOHv2LEaPHg2AYpTIlo6MR/r733VQkk5eWBKJBL6+vnB3d0fv3r0BAPn5+VBQUICGhoZUXV1dXeTn5/N1Hk+AGssby55Wp7S0FFVVVe2xO+QlsXfvXly6dAlffPFFkzKKTyILbt26hR9++AFWVlY4ceIE5s2bh4ULF2Lnzp0A/omz5mLs8Rjs3r27VLmcnBy0tLRaFcuENOfjjz/GG2+8ARsbG8jLy8PZ2Rm+vr6YPn06AIpRIls6Mh6fVIfi9eUj19kdIOR5zZ8/HykpKTh79mxnd4UQAEBOTg4WLVqEsLAwKCkpdXZ3CGmWRCKBi4sLPv/8cwCAs7MzUlJS8OOPP2LmzJmd3DtCgP3792PXrl3YvXs3evXqhaSkJPj6+sLAwIBilBDSJdCVdPJCWrBgAUJCQhAREQEjIyN+uZ6eHmpqalBcXCxV/969e9DT0+Pr/Hs07cb3z6ojFouhrKzc1rtDXhIXL15EQUEB+vTpAzk5OcjJySEqKgrffPMN5OTkoKurS/FJOp2+vj7s7Oykltna2iI7OxvAP3HWXIw9HoMFBQVS5XV1dSgqKmpVLBPSnKVLl/JX0+3t7TFjxgz873//4+9QohglsqQj4/FJdSheXz6UpJMXCmMMCxYswKFDh3D69GmYm5tLlfft2xfy8vIIDw/nl6WlpSE7Oxuurq4AAFdXV1y5ckXqyzIsLAxisZj/4erq6irVRmOdxjYIac7w4cNx5coVJCUl8S8XFxdMnz6d/2+KT9LZ3N3dm0xdmZ6eDlNTUwCAubk59PT0pGKstLQUcXFxUnFaXFyMixcv8nVOnz4NiUSCAQMG8HWio6NRW1vL1wkLC4O1tTU0NTXbbf/Ii6+yshICgfRPVKFQCIlEAoBilMiWjoxH+vvfhXT2yHWEtMa8efOYuro6i4yMZHl5efyrsrKSr/PBBx8wExMTdvr0aZaQkMBcXV2Zq6srX944xdXIkSNZUlISO378OOvWrVuzU1wtXbqUpaamsu+//56muCLP5fHR3Rmj+CSdLz4+nsnJybH169ezGzdusF27djEVFRX2xx9/8HU2bNjANDQ02JEjR9jly5fZhAkTmp1OyNnZmcXFxbGzZ88yKysrqemEiouLma6uLpsxYwZLSUlhe/fuZSoqKjS9FXmmmTNnMkNDQ34KtoMHDzIdHR22bNkyvg7FKOlIZWVlLDExkSUmJjIAbMuWLSwxMZHdvn2bMdZx8RgTE8Pk5OTYV199xVJTU5mfnx9NwfaSoiSdvFAANPsKDAzk61RVVTEfHx+mqanJVFRU2MSJE1leXp5UO1lZWWz06NFMWVmZ6ejosCVLlrDa2lqpOhEREczJyYkpKCgwCwsLqW0Q0lL/TtIpPoksCA4OZr1792aKiorMxsaG/fTTT1LlEomErV69munq6jJFRUU2fPhwlpaWJlXnwYMHbNq0aUwkEjGxWMxmz57NysrKpOokJyezQYMGMUVFRWZoaMg2bNjQ7vtGXnylpaVs0aJFzMTEhCkpKTELCwu2cuVKqampKEZJR4qIiGj29+fMmTMZYx0bj/v372c9e/ZkCgoKrFevXuzvv/9ut/0mnYdjjLHOuYZPCCGEEEIIIYSQx9Ez6YQQQgghhBBCiIygJJ0QQgghhBBCCJERlKQTQgghhBBCCCEygpJ0QgghhBBCCCFERlCSTgghhBBCCCGEyAhK0gkhhBBCCCGEEBlBSTohhBBCCCGEECIjKEknhBBCCCGEEEJkBCXphBBCCCGEEEKIjKAknRBCCJFRhYWFUFBQQEVFBWpra6Gqqors7OynrrN27Vo4OTm1WR+GDh0KX1/fNmuPEEIIIU9HSTohhBAio2JjY+Ho6AhVVVVcunQJWlpaMDEx6exuEUIIIaQdUZJOCCGEyKhz587B3d0dAHD27Fn+v1tj1qxZ8Pb2xldffQV9fX1oa2tj/vz5qK2t5ets27YNVlZWUFJSgq6uLiZPnsyvGxUVha1bt4LjOHAch6ysLNTX12POnDkwNzeHsrIyrK2tsXXr1lZv99GjR1i+fDmMjY2hqKgIS0tL7Nixgy9PSUnB6NGjIRKJoKurixkzZuD+/ft8+YEDB2Bvbw9lZWVoa2vD09MTFRUVrT5GhBBCiCyR6+wOEEIIIeQf2dnZcHBwAABUVlZCKBQiKCgIVVVV4DgOGhoaePPNN7Ft27YWtxkREQF9fX1ERETg5s2bmDp1KpycnDB37lwkJCRg4cKF+P333+Hm5oaioiKcOXMGALB161akp6ejd+/eWLduHQCgW7dukEgkMDIywp9//gltbW2cO3cO7733HvT19TFlypQWbRcA3n77bcTGxuKbb76Bo6MjMjMz+SS8uLgYr7zyCt599118/fXXqKqqwvLlyzFlyhScPn0aeXl5mDZtGjZu3IiJEyeirKwMZ86cAWOsTT4HQgghpLNwjP6aEUIIITKjrq4Oubm5KC0thYuLCxISEqCqqgonJyf8/fffMDExgUgkgo6OTrPrr127FocPH0ZSUhKAhivakZGRyMjIgFAoBABMmTIFAoEAe/fuxcGDBzF79mzk5uZCTU2tSXtDhw6Fk5MTAgICntrvBQsWID8/HwcOHGjRdtPT02FtbY2wsDB4eno2ae+zzz7DmTNncOLECX5Zbm4ujI2NkZaWhvLycvTt2xdZWVkwNTV95nElhBBCXhR0uzshhBAiQ+Tk5GBmZobr16+jX79+cHBwQH5+PnR1dTFkyBCYmZk9MUF/kl69evGJMgDo6+ujoKAAADBixAiYmprCwsICM2bMwK5du1BZWfnMNr///nv07dsX3bp1g0gkwk8//dRkULunbTcpKQlCoRAeHh7Ntp+cnIyIiAiIRCL+ZWNjAwDIyMiAo6Mjhg8fDnt7e7z++uv4+eef8fDhw1YdF0IIIUQWUZJOCCGEyJBevXpBJBJhxowZiI+Ph0gkwvDhw5GVlQWRSIRevXq1uk15eXmp9xzHQSKRAADU1NRw6dIl7NmzB/r6+lizZg0cHR1RXFz8xPb27t2Ljz76CHPmzMHJkyeRlJSE2bNno6ampsXbVVZWfmqfy8vLMX78eCQlJUm9bty4gSFDhkAoFCIsLAzHjh2DnZ0dvv32W1hbWyMzM7Olh4UQQgiRSZSkE0IIITIkNDQUSUlJ0NPTwx9//IGkpCT07t0bAQEBSEpKQmhoaJtvU05ODp6enti4cSMuX76MrKwsnD59GgCgoKCA+vp6qfoxMTFwc3ODj48PnJ2dYWlpiYyMjFZt097eHhKJBFFRUc2W9+nTB1evXoWZmRksLS2lXqqqqgAakn53d3f4+/sjMTERCgoKOHTo0HMcAUIIIUR2UJJOCCGEyBBTU1OIRCLcu3cPEyZMgLGxMa5evYrXXnsNlpaWbf78dUhICL755hskJSXh9u3b+O233yCRSGBtbQ0AMDMzQ1xcHLKysnD//n1IJBJYWVkhISEBJ06cQHp6OlavXo0LFy60artmZmaYOXMm3nnnHRw+fBiZmZmIjIzE/v37AQDz589HUVERpk2bhgsXLiAjIwMnTpzA7NmzUV9fj7i4OHz++edISEhAdnY2Dh48iMLCQtja2rbp8SGEEEI6GiXphBBCiIyJjIxEv379oKSkhPj4eBgZGUFfX79dtqWhoYGDBw/ilVdega2tLX788Ufs2bOHv63+o48+glAohJ2dHbp164bs7Gy8//77mDRpEqZOnYoBAwbgwYMH8PHxafW2f/jhB0yePBk+Pj6wsbHB3Llz+SnUDAwMEBMTg/r6eowcORL29vbw9fWFhoYGBAIBxGIxoqOjMWbMGPTs2ROrVq3C5s2bMXr06DY9PoQQQkhHo9HdCSGEEEIIIYQQGUFX0gkhhBBCCCGEEBlBSTohhBBCCCGEECIjKEknhBBCCCGEEEJkBCXphBBCCCGEEEKIjKAknRBCCCGEEEIIkRGUpBNCCCGEEEIIITKCknRCCCGEEEIIIURGUJJOCCGEEEIIIYTICErSCSGEEEIIIYQQGUFJOiGEEEIIIYQQIiMoSSeEEEIIIYQQQmTE/wE40KxHXd99iAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_windowed_results(\n", " results_hst, results_ae, results_oif, metric=\"auc\", save_only=False\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.19" } }, "nbformat": 4, "nbformat_minor": 5 }