{ "cells": [ { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "12RuCnFuJ_Qe" }, "source": [ "# \"Smart maintenance based on vehicle CAN bus data from scratch in Python\"\n", "> \"In this article we prototype an algorithm that automatically scores engine health based on vehicle CAN bus data.\"\n", "- toc: true\n", "- branch: master\n", "- badges: true\n", "- comments: true\n", "- categories: [python, numpy, data-driven products, smart maintenance, scikit-learn]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "iRkM1heyaWC_" }, "source": [ "# Summary\n", "\n", "Equipment that behaves anomalously or breaks down unexpectedly is a major cost driver in **manufacturing**, **logistics**, **public transport**, and any other sector that relies on complex machinery.\n", "\n", "A big promise of data analytics and machine learning in this space is to detect anomalies in machinery automatically and to alert their user of occurring faults.\n", "As an extension, the prediction of machinery faults and breakdowns is an important field of application.\n", "\n", "Automated detection and prediction of machinery breakdown is a key algorithmic approach behind **smart and predictive maintenance**.\n", "\n", "In this article we showcase a simple algorithmic approach for anomaly detection in the space of automated engine health detection.\n", "\n", "Our approach here can be an interesting starting point for the development of **smart telematics solutions** for automated and predictive vehicle breakdown detection." ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "RsZflPAVgvDx" }, "source": [ "# Fetch the data\n", "\n", "We'll make use of an open data set of vehicle CAN bus data, called\n", "[Automotive CAN bus data: An Example Dataset from the AEGIS Big Data Project](https://zenodo.org/record/3267184#.XmCx8hNKh24).\n", "\n", "A CAN bus is a local network of sensors and actuators in modern vehicles that provides a stream of data for all important signals of a vehicle - such as its present velocity, interior temperature, and potentially hundreds of other signals.\n", "\n", "This data set encompasses time series data (traces) of various vehicles driven by different drivers.\n", "\n", "Let's go ahead and download a data set for driver 1 and a data set for driver 2:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "8DX2qNW6uNDA" }, "outputs": [], "source": [ "!wget --quiet https://zenodo.org/record/3267184/files/20181113_Driver1_Trip1.hdf" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "lR_mX1hpZ1NG" }, "outputs": [], "source": [ "!wget --quiet https://zenodo.org/record/3267184/files/20181114_Driver2_Trip3.hdf" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "n-pblzCli3G2" }, "source": [ "# Load libraries\n", "\n", "Here we import all necessary Python libraries for our analysis and algorithm:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "5g5oAL2-ua78" }, "outputs": [], "source": [ "import h5py\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "\n", "from sklearn.mixture import GaussianMixture" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "d83ODF49_bBW" }, "outputs": [], "source": [ "plt.rcParams['figure.figsize'] = (10,10)\n", "sns.set(style=\"darkgrid\")" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "9xOull5TjHGw" }, "source": [ "# Load vehicle data\n", "\n", "Let's load the data for driver 1 and driver 2 into memory:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "L6QLV8xJuj9S" }, "outputs": [], "source": [ "driver_1 = h5py.File('20181113_Driver1_Trip1.hdf', 'r')\n", "driver_2 = h5py.File('20181114_Driver2_Trip3.hdf', 'r')" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "VlMFracSoYEm" }, "source": [ "Both files contain multiple subgroups of data, one of which is the aformentioned CAN bus:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "id": "blcoMtWhwY9P", "outputId": "1deb3ba2-5d2a-4ce8-a7bf-3263f2106722" }, "outputs": [ { "data": { "text/plain": [ "['AI', 'CAN', 'GPS', 'Math', 'Plugins']" ] }, "execution_count": 6, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "list(driver_1.keys())" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 34 }, "colab_type": "code", "id": "voKJBUDAmkdq", "outputId": "9f577b23-9d90-49a6-eb1e-047413b3e4fb" }, "outputs": [ { "data": { "text/plain": [ "['AI', 'CAN', 'GPS', 'Math', 'Plugins']" ] }, "execution_count": 7, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "list(driver_2.keys())" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "vUWTNiQhumai" }, "source": [ "# Turn time series data into tables\n", "\n", "The CAN bus data comes in serialized form - written out in series in a nested format.\n", "\n", "To handle the CAN bus data more efficiently we'll turn it into tables that are easier to inspect and handle." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "lipkE3xL0TFA" }, "outputs": [], "source": [ "data_driver_1 = {}\n", "data_driver_2 = {}\n", "\n", "for channel_name, channel_data in driver_1['CAN'].items():\n", " data_driver_1[channel_name] = channel_data[:, 0]\n", "\n", "table_driver_1 = pd.DataFrame(\n", " data=data_driver_1,\n", " index=channel_data[:, 1]\n", ")\n", "table_driver_1 = table_driver_1.loc[:, table_driver_1.nunique() > 1]\n", "\n", "for channel_name, channel_data in driver_2['CAN'].items():\n", " data_driver_2[channel_name] = channel_data[:, 0]\n", "\n", "table_driver_2 = pd.DataFrame(\n", " data=data_driver_2,\n", " index=channel_data[:, 1]\n", ")\n", "table_driver_2 = table_driver_2.loc[:, table_driver_2.nunique() > 1]" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "6oXRvEyRwcw-" }, "source": [ "The tabular data for driver 1 looks as follows - it holds 158,659 measured time points in 28 channels that we deem relevant:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 439 }, "colab_type": "code", "id": "Viffbre46ovg", "outputId": "d8914d55-ef16-4a3c-a94c-79c268201699" }, "outputs": [ { "data": { "text/html": [ "
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158659 rows × 28 columns

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" ], "text/plain": [ " AccPedal AirIntakeTemperature ... WheelSpeed_RR Yawrate1\n", "0.000000 0.0 44.25 ... 0.0 0.140000\n", "0.050000 0.0 44.25 ... 0.0 0.120000\n", "0.100000 0.0 44.25 ... 0.0 0.148120\n", "0.150000 0.0 44.25 ... 0.0 0.126384\n", "0.200000 0.0 44.25 ... 0.0 0.135592\n", "... ... ... ... ... ...\n", "6807.450195 0.0 25.50 ... 0.0 0.130326\n", "6807.500000 0.0 25.50 ... 0.0 0.150000\n", "6807.549805 0.0 25.50 ... 0.0 0.140351\n", "6807.600098 0.0 25.50 ... 0.0 0.140000\n", "6807.649902 0.0 25.50 ... 0.0 0.129625\n", "\n", "[136154 rows x 29 columns]" ] }, "execution_count": 10, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "table_driver_2" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "BOiyBaAnw4Ef" }, "source": [ "# Monitoring engine health\n", "\n", "One use case of automated anomaly detection lies in checking the health status of a vehicle's engine.\n", "\n", "Here we'll look at engine oil temperature as a function of velocity: As you'll notice in the below plots, oil temperature goes up with higher velocity and increased operating duration.\n", "\n", "## Engine 1 - healthy\n", "Let's look at the engine of the vehicle of driver 1 where engine oil temperature appears normal as it keeps to within a certain band:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "colab_type": "code", "id": "_JNEgMgCDG3Q", "outputId": "1d7a27b5-e24c-4584-f90c-f29f906addee" }, "outputs": [ { "data": { "image/png": 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CrjEdgZXV42rTURyyt8Nay+V+j7Va7XA4lb8jngsX3NWUznyxUPCRDrRvw8fo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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "temperature_1 = table_driver_1[['VehicleSpeed', 'OilTemperature1']].copy()\n", "\n", "sns.relplot(\n", " x='index',\n", " y='value',\n", " hue='channel',\n", " kind='line',\n", " data=temperature_1.reset_index().melt(id_vars='index', var_name='channel')\n", ");" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "q-ra6dkozbGC" }, "source": [ "Plotting engine oil temperature against vehicle velocity makes the correlation between the two metrics more apparent:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 611 }, "colab_type": "code", "id": "Udsx83pEU9Le", "outputId": "563f0b83-c9dd-432f-ffd7-d0d92ce67345" }, "outputs": [ { "data": { "image/png": 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1gPJEJ4jlZRfeNjbc2WVjw02y8RQF2oP0Y1vShpOTmZntDuNjcjBISDDtIJ9+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\nqTt4MPrm77loFRV2gPvVr6Lpzblzi9XX16O2Nnvs6mq7P5/e8q2LvJ/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UR/n2KVoulPyYrUjmWbIhvpy+YWE9jm8LboYHBwbOU3urqkJ56QurrS6uy0XLvGRsuvq6uzkcZ9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\n77xDd3c3r7zyisdjURF5sHi5/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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plot = sns.scatterplot(\n", " x='VehicleSpeed',\n", " y='OilTemperature1',\n", " data=temperature_1,\n", " color='blue',\n", " alpha=.1\n", ");\n", "plot.axes.set_ylim(0., 110.);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "Pj9ik7Jm_gAF" }, "source": [ "## Engine 2 - unhealthy\n", "\n", "Let's look at velocity and engine oil temperature for vehicle 2 (where I deliberately introduce an anomaly between 5000 and 5500 seconds of the trace).\n", "\n", "You'll notice a spike in engine oil temperature which indicates unhealthy behavior of the vehicle's engine:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "colab_type": "code", "id": "83YL-KW7AD-J", "outputId": "9c7b07f3-21e8-461f-b94f-5929b292e978" }, "outputs": [ { "data": { "image/png": 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kdTevmjJ1pSABgG2uQsqqR5BOt8JqYzCG/hWz4nagMKYUnMkItqUGlv3rYCvb\nAQCIv+Vl2fsT7nwLife+Azq9F8B5Hw0siixpSk4qHhGiGeLmJYSE99cdEl/nZMRj0sW98NH3RwDw\nPS9vk+RpvvynsS4DWaR03pppaOf/ubQKZiuD7aVVmHFZX3Ac59LNq65M1QOPAKDt0/mgADyV8hXe\nM16Ocex2wP5sYy5JBWusA3PqV/48sUmgDAmALhaw2t2+WuHBh/LJkhQsU45zLtwvQAxTQjRBlCkh\naLi62R6vbMFD110oKlNlvmNSvB5JPnRxCXc0b6iVNy1RPADvFpUFIEkUqFo6iWCZelJO6bS8QpL1\n4I+gEjPF7fibXwRFa5F457/5+VjGIQcFqPVDdYUgMctxskbs3rZDJBC6GsTNSwgarnpmtrZbZcpB\np/Pza9dJbl61og1SAl37E3My7R+Qt0ydKyAB6ordnZtXSgxlddrHtfLpSlRsEiha/mxN0VKLl/LJ\nlJRZpiwnvpZ+R8iaKSGaIMqUEDRa2ixuj19zSW8AwHXj8gI6T6QFICnzPX2en1ZYphwnU+AURYkK\nVy03U+9GmVLxjlZ2E2P41KTXWq4S9xkuvxPxt7yM+NlF7oX085ofr2wBY89r5QAwbDirMBEI4YO4\neQl+Y2NYfLGpTNyudJOeAQCzxuVh0sW9kBCrXqnHE4LlFv4AJPfHWRYIpJiPI/KVs//vvE5LUxQY\njvM5AAmggNgkoKMFNMXPf8qWLh7VZg8CHZfipaS+PzQcKG9wvJvjZG5eYpcSoglimRL8Zt/ROmzY\nVSFul51WLyMoLXPnryIFIN59I84yDXAdUJj+TC1f6IJjOadzCgpXo6LZY/T8M7ErN7sm90LZtgU6\nzG+cjdhpC0AnZ3krpc8RQzRF4cI8h+LmOMBG1kwJUQpRpgS/UQYCfb21XHWcqzJ3fp83zMn+IXfz\n2uffX1Yvzqe8tsJHVrNM42N5ZaoeEc2B1jhf/w7OAG13Hwpn+HHJc7MSFJIoLFOiVwlRBHHzEvxG\n62Vt1UCVjYCYGhOU2bzHU56pK4vQ3/mVFZAAiWWqcs0TY/lI6GH9Mpwntyvml1omY0rsXiw3jsfl\nF/VATka8j1L6bpmerGpVigKGkbp5iTYlRA9EmRL8xttC5Q/OuCAo53MUbYgsyzRgZaqYXxmABDjW\nbdXaqBn0GrzxyOUw6FU8ABwHiqZxwtYNr7dOAgDc8Qc/erEG4ZpzHCcPQCK6lBBFEDcvwW80Hm6w\n44fn4N35har1ZAMh3DVdPdUCttrU+4h6i9J1yyqKNvD7+P9/VjRbF4g1aF0ofXk1pe5pcQFI6pv2\nGzEwE9npjvM5pcYEIAmBECDWyYcAACAASURBVGkQy5TgN+6SHDKSY3DrpIEhOW/Yo3k9nDDQpttS\nZbfnSC1KjzcgPkb+0xRyMpWlGb2aXyL/ojtH+iUj5YebV6eh0W521GjmU2Mkc5BFU0IUQZTpOQZT\ndRS2qiPQZPWDNjswZceFPTJTSI2JLDevxRqgMpXM/8vBagBAm0neKEDQO+Pzc3yb3O7mFfA7GMyP\na07TFMwWh9VOUmMI0QxRpucYpu0fg60tB5WchQRPifoecKdLUxINAc2thqBQwt25y5MesQTq5pWs\nPbuqCuT47I6xf5p1AY6fbfE4f1BSiSjfLVOKAkwyZaqsgBS4WARCpECU6TkEx3Fga/n0Fa65Gh0/\nvgkAoBPSoL/4OlA+Ngp1FaV739QhGNInLTBhVRBuxGG3TD1ob0uAbl4prhWMc+eV4f0zMbx/pqs3\nOCYM2vXyPc9ULgoXcLAWgRCpEGV6DsGZ+FQFKiEdnLEetrJfxGO6weNBJXm4MSvnk9wYs9PjUFnP\nV0AafX73IEjrGm9TcoKFxzXTAN28UmvUo2Xqo1kevPQTyqcWbIDzQw+fGsNKtoliJUQPJJr3HMH4\n6Xy0ffgQAMBw8fXQ9h/DH6D4NbT2dS/AemiLT3MKuvQPo3ohMYBm376iDaR2nx94UmBbf6sMaH6p\nTnFVTSkgF3ew3Lw+4pQ/i8DTiAiESIVYpucAHMeBa3akVGhyhoCKSwFYBtrzRsB28lfYTu2DtbwE\nukGX+zQvAFxyfnecrLZbvSE0GinwN2S1KkChxNPpqjzUJJYiXDOp1eZNUQuxLrGvnz2Ybl4/1kzl\nb+fEyGedliZrpoSogijTKIfjOBj/c6djhz4OdGwS6NgkaHvwyfu6vhej7cvFYCr2w/Lrt9BfdLVX\nc4tNn2lKtBYn5PcM7geQ8M/7RuPQycawrJma96xGUeoaLGuZ6NHNe1G/dLfHAaD17TtU98dOmgeO\n86I+rr91iTkOftUCVEJRPruM1WQVSyaypP4RIboIizItKirC+vXrcebMGaxZswYDBgwAAJSXl2P+\n/PloampCSkoKioqK0KdPH4/HzgU4kxGmM5XgkAJQNNjmKlCGOAAUqPgUwGYFKAqULgZsexPAMqAT\n5Dd1ztIBpu6EuE1n9UPshAdUz6fpMQhs3QmYd3zmszKlKYe1qFqFx0c4jgNsZrDGerCNZ0BpYwB9\nDDJpLbr1SwJTf4ofZ2xAe1McWCSCY20Aw/+j03qC0sd6eS4WbGMl6JTuoGgNb8V3NMN29GfEUFZc\nbCgD3VYHLrE72OZqwGYBZYgDnexYF9aqFJ/nWBtsJ/aC0uoA2nVxf8v+78Dl3iZut5ltquMExeO7\nVc5bpi/NvTRAF6vvClmpSxmWQ5a9aES3VO/+PgRCVyEsynTChAm47bbbcPPNN8v2L1q0CDfddBOm\nT5+OVatW4amnnsIHH3zg8di5gPGDuTAC0GQPAlN5yOW4hNvfQNv/HgYA6POnw1BwrWOO9+WKM/bK\nuS7bben6Xwrr/u8AABxjBaXx3N1FiEehKQp7j9YB8NzT1Bssv66DZednXo3tcLE/8b73vXq/efsn\nsJZ+D23eaMROuB+W3V/DsmeVeHxszBHgmydhVJlfp6VhtbGwMs6BOcbl93h1fqbyMHQZjjZlx1x0\n3hHwJ82FApCcEIRUJT+6xkix2ViYrXyqTHyMzuf5tv1Wib49kpCd7mtdYQIh9IQlkqOgoADZ2dmy\nffX19Th48CCmTJkCAJgyZQoOHjyIhoYGt8fOBZjqY47XbhQpAFgO/Oh4vWcVrMe2w3LgR1h+2yDu\nj/3DnxE3c7HbvpWa9Fxo7EUcuNY6r+SUunkFftrvfzAOU3cSlt/We1SkuoGXIebKP7kdw5nbXB5j\njfUwfvwXmEu+hLX0ewCArewXmPesFhWpJud897LWHMdlF/Lf6UxFVSLriT1O4/UFM6G78A+Imfgg\n4m99FbFTH4em10UAgD7lK0F56fT0MXspeGumlLBi7Zr2b56DtWwHOBvfvUapTH/YfRoVNfxjiVbj\n7Sd28M43v+Opd3b6+C4CITx02pppZWUlsrKyoLG3h9JoNOjWrRsqKyvBcZzLY2lpvuUvpqcneB4k\nITMz0afxwYbjOJx4b6nX4y0lX8q2TcVvOY3Jzr/Uq7nax12PqhXPwFBbipT+A1yOE65RQgL/cJOZ\nngCa4qN7R53f3e9rePztRV6Ni02IR8bFV+D496+5HGNa/TR6PfiG6rGTn/wZnLEBlj2rZful1zJ1\n2Dj852gsro0rUZ2j/et/YPod76J4zxnk9kgRP7OtpR6mDa86je856WawLIfpf1sNoARfFk3B91XA\noFO/ItF4ApcZMrHFPFgcP+fKgarXMSU5zqfra6QAgAr4e12p14JlNS7nOfPefDBnj4I5cxAZ1zyA\npGETER8vj/BOSTCg5FANAECv18JqY32Wi2G5kPxGO/t3T+j6RH0AUn290evmzZmZiaitbfU8UILl\nwI8ArYFu0LigBMZYy3aCs5qhHz4VPa66CbUnT/MHaBpgbLwLVmcAWAYcY+PXBika5l9WwFa2A5rc\nC8FU7AcAxN+4FFRsktefiUvMAwA0H9wJY0MjQFHQdB8Ard2Csp0uRce3z/PipPRAL2MjHk2KgfHf\nH2B2XB5+7BiK8cPy3Z6PbakBU38Kpu9fBwBQyd0BxsqvdyqIn70EMMSL7kDz9k9gO7YdZl0Kamtb\nkXDHMqSnJ6DubA1A0eCsJjBnD8K87X+wNVah4ut/w3rgB1CGBFmUMtPaIDlHETjWhvbPFwAA4q5d\nBCo2CeaEdGwytWKbaQBeuDEH3Hr+ASfhttfRUfwmmNOlMP38KS7SmVD6aQkOfcZCAxYZmlYMsnvI\nlzZfgxY2FkYuBuxfHK5jAJj52FoAwLMpesTRFsyK34XR+Xn4riYbf5rWH7bS73F6fQm0PYaAszis\nbGOryafvKMdyAAWfv9dKLFYGnNWGypItgC4GYBlYj2yF4eIbAI0W5rNHxbGNe4rRcvokelY0I4nK\nRgsXh/OyExGj16LJyFutVisDq431S65AP4sSV797omAJvtBpyjQ7OxvV1dVgGAYajQYMw6CmpgbZ\n2dngOM7lsUiCbWuEeduHAABNVj9o0gKPZBXdjD2HgtbqQXtZSMEwchZsZTtgGDkLFloDKjETdKJv\nRRgoigKd1Q9MXTmY2nKAZUAllSDBrkw7NjgsQbbpLLQAcrT8quVoQxlyuqdhQK5rVzIAtK18CrCa\nxG1pyo4oR2ImdIMulwX5AID+wsmwHdsObZ98fpw+DpqYeNCJjj6eVEwCzNv+BwCwHviBP4fZCMv+\n9fY+ZvIHKzqZj6Q1jLkF1t83gs7oLakERcEKLej03mAAxFw5F1RMAnQDxoI5XYqYI+txl/1+287q\nwEpWTbaaBuA04znK979tl+GBRN5Vn3N4Bebd/gZsFfth2f0VAMAC/v84ajbaOYMfHXOCFM1rn6Nj\n/StO+zWKJuNMzXEwNWXoy9gwwjACG03nw6DTyMouUpRvBSVIgQdCpNNpyjQ9PR2DBw/G2rVrMX36\ndKxduxaDBw8W3bjujnU21rIdsB7aIluXa/9iIf9Ca0BM4X3Q9Rnh05zG/z0Mrr0JAKAbdLnPRejp\npG5i0E3spHk+vVdK/PSF4mvTtg9h/X0T2te9wO+wr4W5opf5KNrXvShaxkKlJTqrHyi9vRWXRJEq\niZ38Z2h7XejyuCajt8fAIjo2ibdmFWumhstug37QOHBWE4zv3Q9o9Ei8+23xuH7oROiHTlQ/rz4W\ncZLz6vqNBnP2EKyHNgEATttSsbRlqlu5XHHImoPfLD1xgZ73QJi2fgimmrfyqMRMcK21AIC7Ezbi\nm47hoCnX1wcAbKcPoOPbpdCeV4DYK+dCiOYNBkIpStn5jm2H7dh2AEDC3f8RA9eElKwZcbuRp61G\nbKMVq9vzAfAPeBTgdXVC29nfwdRVQO12ZT2+C5RGC23v4X58IgIheIRFmT7zzDPYsGED6urqcOed\ndyIlJQXffPMNFi9ejPnz52PZsmVISkpCUZGj8Lq7Y52N9dBmMDXl0GT2gSZnCJgzBx0HbWaYt7zv\nszIVFCkAaPuOCpaoAaHtPRxMbTk4E6+Y6Iw+YCWpNjIM8aDiU8WShQDAGe05hdXHQGeep/o2ypAA\nKikTbONZaLr1DYrccVf/Fe1f/V22T5ttb4itNUA36AroBo71ej6VzBdo+xbAemgTbByNn0yDcO3l\nfdE3OwknaoxIjtVh1dbjuG/a+UiM0+NEVQuGnpeOh175CQDw5O0F6JERD4NOg2ajGU8va0UK3Y5c\nbYOjxKMuFpru/WGzK9M+2jqMNhwDTV/pVtaOb3l3tK3cvtbLBaeWsbZPvviQpAad1U8WAS49p/Cg\ncG38LrzccrUwwGu7tGOt8Nu/zemY6Qd+Xdzb6G0CIVRQXJT7T/xZM+UsHWJaiX7kLFh2rZQPpCho\nci9C3GQ+JcW0+V1YD8tL8VGJmQCtUXVjJt73PqzHd4k3AsqQAM5slB2XyhNJSGX6flcFPvnxKF6d\ndxkSYh03UrUCBaG62YXyGt21pBgA8PbfrlAtYVjd2I7H3+KV3w3j+2HyqF5u5RHme/a+0WK+Jcty\nuOe5jQCA1/J/B3tiFwCAzuiNmDG3oH31PwHw1m9PbSMAfi1c6cLnbGYY3/2jbB+V1A1cSw1SxswE\nM3Sa7xdAgfB3Ff6WbaueAWuPPI+7/l/QpPaQjW/6z73QcFbZvscbeXf10rQV0EMljUqj5XOF03PB\n1leAik8D18avcTcycUjVtAOGeNBJ3cC1N4vHqHjea6Xp1hexV86F7dR+mHd8htir/wI6PtXt5yJr\npoRgQGrzSuA4DpzNArbprLjPSZEC0F0wGYZ8x81JP3wKKHvBBE3uhdAOGMuvoab3Uj0Pa2wQFSkA\naPMclmj8Dc8G/DnChaNog9zyib3mUQD2BwoAcTPlVmJXw1Vup9T60uu8/ylJywdK10A1QyaAzuoH\nGOJhGDkLdOZ5oBLSoR82BVvNDre/5UCx85wNZ9Qk9Fomb9CeVwBtX0dz8Zixt0M74DLoR1wLOsW5\nucGugXPBcHIZcjX1oMCpK1JADERj6ysAAHRaDu/VoLU4zdiXecxtYGvLQSd1A5WQDio+Ddqe54OK\niYetvAQcx8Hy67dgG0+DqTkOjrHyRT0IhBAS9dG8vtBQ/CGMv6xyO0Y3pBAxo2fL9tFJ3ZBw0wuq\n440fl4nuToG2j/8s244Zeytixt7qh8Sdi5hnqrhna3OGRJXbzZWXVKo+dVrvlWlSvHpTAE33AYiR\nrFkDEL9XvxT/iDnxvBVs3b8Omqx+0J3nWEpgqo6Ir4Vr37HxP7C1VMNcVQ7tUK/Fcwm/BiuRNz0X\nsVfc7XK8VZ+CPzfeCgrA2/f0RfuXi/Fg0g8+ndMwYgY03fLQYbbhq1e+EV3GAKAfdg20uReI2+a9\na2Gpr+DLZ9L8rc0kSZ+Kpu8kIfIgylSCpfqEbJtOz4X+gsmw7P8ObGsdtD0GwTB6jk9zxt/wLxjf\nfxDafmP4CEbGCk33AeAs7bDs/AKxV/kfLNTZCO7zcLdECzeu1hyldY/0Wu/LKMbHqFeXcre0yYHC\nh8axuKVHGaiWSph/WQEqJgGa7v1BUTSYmuMAgLgb/iW+R5PeC7aj28QiCuFG/DwUQLvw0gCAYext\noOwpUJQ+FpZfv4UmexAofYy41s5xQD2bgBVto3HLBSw0OUOg6TFYNo829wJYdn3Bb6hYohzHhb0X\nLuHcgShTCZbaClBJWeBaqgEA8bOeBgDoBnhX9EANSmtA4j3vqB4zDJvi97yRANtJzbojBZukKbgv\nlqkrPJUKLLH0xa3TbgP15aPgWmvRseZZGEbPhjZvNGzH+cpAdLIjfUyTwyubuAEjYVWdMbRQdjcz\nBQoURSNm3N0wbeZ/C2W6gcizHgaVnAX9kELZ+4S8ZimsvWD/dvMA3Dux0Ok4ACdXM53ZF2ztcXGb\na28C5WH9lEDwF6JM7bAttWCMDdAPmwJNj0HQuIg+JTgQ4rp8z32MDmINjp+PN2umD826EDWNbtq1\neXEZKYpC3LQn0LaCX5c2//IpzL98KjsuoEnvhfg5zyG5b1/U1SmrC4ce4WshiKQdMBbL1pwEraGR\n0CMP37ddgr/OHO3VXN7ESVJaA+JmPIX2r/8BADCMul6MBI6d+rjHQCQCIRCIMrVjPbQZAB9Fqe0Z\nhAWmcwCG5UDBv+Lr0UBqoqN4fJIXzdGH9c9we9ybq0hT/Bq9t9BJ3TrNc6A8L0VRuPm2Geidm4oX\n/1eCNnvXI2/wtuGNpltfxBTeD9Pm5Xz3oOTuoJMyfc7bJhB8hShTO/qRs5Az6RbUNbouKkCQw3Hc\nOWuVCmg1FGwMh4xk75SCO7xTevyYxPveh+3MQXR885x4JOHedwOWIZiofTd6dktAWlIM/1l9SMrz\nJYNP1280tH0LQNFaJMxe4v1JCIQAIKkxdiiK4ntPErzGamPP2fVSgQv68ilRMfrwP5dKi1wYxtwi\nKYMYGVAKN68SXxLcvc0VF89NEzuBEF7IN44AgH/yX73tBKaM6Q2NWskfFTbsqgixVJHPH6edj5Y2\nS6dY6JQuJqLTPShpOK/TMd/amUZ3aRlCNBBZj7KETuPzTWVYtbUcc1/+qbNFiRj+cffFuH+6+76m\nep0GGSmxIZfl5isH2M/XdX6ynp0W3mtI1g9terrWCGNHZ8QxE85FiGVKAOAIoDFbGA8jeRiW9Tyo\ni9MzMwE9M33rhxsqJozoiQkjAu9KFE6EwDQ1pUr5UJsX8K9rzFPv7ERmSgyK7h/j83sJBF/pOo+5\nhJCSmeJbAI3NRvxuBPe4M0x96RoDeB/Nq6S2iQQUEsIDUaYEAHwwkS9Ie1MSCGq4DU7zLZjXZ8vU\nH7cwgRAIRJkSAPiuTH0dTzj3cBfHRsE3BelrNK+v4wmEQCFrpgQAgJXxTjmerTOiuakDNvvN6t6p\nQ0IpFqEL494y9T76+UxdG87UtXkeKIEoU0K4Ico0yLAc1yUrAm0vdfRdZVjWZXrMH5/9EQCw+E6+\nFZc+CDVpCdGJmGca4DxPLt/h83sYokwJYYbcCYNIyaEa3FO0EZX1vj1FdzYmiw1lZ1vE7cYWM8or\nW3DXkmKcrlWv6Sq4eXU+dEshnFu4e6jk3byhO7c/0b8EQiAQyzSIlByuAQCcqjYiOz2+k6XxHmU6\nzHc7T4k3woPlDarpIRa7MiWWKcEVlBvT1Mdqgj5DDFNCuCF3wiAiuJY0XaxebV2zPH2geM8ZNLby\nPTD1OnXL02LlFbBBTyzTQOlKhRh8wXPNhtBpPOLmJYQbYpkGka7a31Oj0tx795FaAECMC2VJLNPg\nsezP40JrpnUS7kos+lq0wROrt5Wjqr4d903jK1aRACRCuCF3wgDgOA4b95yG2W6lCQ/aarE7bSZr\nxK7juKt6JO3ZKeWMfS1V58JyJXgPTVFR2X1HCGqzWJ0jxX0t2uCJr38qxy8Hq8XtqgY3fWMJhBBA\nlGkAbN53Fh9uOIIHXuB7oR493QQAOHamGQDwfUkFztQaUdPUgT+9/BN+KDndabK6Q3gY8IWjp/nP\naCCWKcEFTUaz64MUwIXAHBe+y698/mvQ5yYQ3EHuhAFwsrpVtt1msgEASo83YOHyHfjkh6N48p2d\nqG/qAADsPVobdhm9wWy3HKaM6e10zFUlmd9PNgJwvaZKIOTlJLs8Fkg0rzsPz8uf8UrUQoqKEMIM\nUaYBkJZoEF9Lu1OwHIezkiRzwYUXqUERJgv/EHD5hT2cjnmqZ68jlinBBbnd3DUJ8N+t7a5U4OGK\nJr/nJRACgdwJAyA3KxEA0D0tDv/bcFjcrwx+EAKSInTJVFzTUovMVVoBSuWp1ZCvEEGdHhmu08MC\nidEjwUWESITcCQNAUDQsx8mCLJQ/dsEyjdTi28I6k0HFZSuV+a4lxaQmL8FrMpL5TkTn90lVPe6/\nm9d5n2AF52R2nfxuQnRBUmMCQPhRsywni8asbuyQjROewiM1mveLTWUA1F22woNBeWWL07Febt14\nhHOdxDg9/jJ7GHp3T3Q6ZvfV+DWv8l0tbRZxmaW/m3VaAiGU+GSZWq1WlJSU4NtvvwUAtLe3o709\n8BD0jRs3YsaMGZg+fTqmTZuGDRs2AADKy8sxe/ZsTJo0CbNnz8aJEycCPlcwERQNw3Jwldmg19Fi\nNaFI7Kd9+FSj+FotP5blODQZzXj6vyVOx+64elBIZSN0fc4/Lw0JsTrnAwFUQFI+lD782laxyIjg\nScnLSfJzdgLBP7y2TA8fPowHHngAer0e1dXVuPrqq7Fr1y589dVXePnll/0WgOM4PProo/joo48w\nYMAAHDp0CDfeeCMmTpyIRYsW4aabbsL06dOxatUqPPXUU/jggw/8PlewEX7SLMeh5LB6pK5eqxF/\n4JHo5q2slz8MLbh1BMorW3BRvww89uZ2sCzQbLTIxowYkInYGK1qmUECwRsoUDJ37ZZfz2Ltzyfw\n3ANjPL7X3c9ICPJLitNLxnNdrpAKoevhtWW6ePFiPPTQQ/juu++g1fI6eOTIkdi9e3fgQtA0Wlv5\nNJPW1lZ069YNjY2NOHjwIKZMmQIAmDJlCg4ePIiGhoaAzxcsxDVTNwERxg4r2jr4aNlIVKart5XL\ntvNykjGxINdhTXOcGO0rMKBXCu66ejAJPiL4j0K3vb/uEOqaTdh3tC6gaYXfovQ3GXm/OkI04rVl\neuzYMUyfPh2Awx0YFxcHs9lNYrYXUBSFl19+GQ8++CDi4uLQ1taGt99+G5WVlcjKyoJGwwfFaDQa\ndOvWDZWVlUhLSwvonMFCUI6t7Va34162J5CfqY28bjJNCqtTQBo0ZVJUSCJKlBAo0ubgNU2OGINX\nV+7Hu/ML3b7XG8uUkQziOC6w8GECwQu8VqY5OTkoLS3FBRdcIO7bv38/evXqFZAANpsNb731FpYt\nW4YRI0Zg9+7dePjhh/Hcc88FNK9AerpvrsjMTOdgCVckJPiW06bXaXya31d5/OGyYTn4ad8Zp3Np\nDfw6V3y8QXwtkJIcG3K5fCGSZAEiTx4g8mSKjdWDpilkZibiwRc3y455kjU9PR4JEjeuFJ1ei8zM\nRGg1Gsn4BI+tAiPt+hC6Hl4r03nz5uGPf/wj5syZA6vVirfeegsrVqzA008/HZAAv//+O2pqajBi\nxAgAwIgRIxAbGwuDwYDq6mowDAONRgOGYVBTU4Ps7Gyf5q+vN3qdl5aZmYja2lbPA+00N3e4PZ4Q\nq5MVc0hPMvg0v6/y+IOgSAHIztXSzlusLS0mNDbK11VbWjpCLpe3hOMa+UKkyQNEnkyZmYkwmaxg\nGA61ta1Ong9PstbWGdGhFtQEoKPDys9pdvzuampa3VbqcnV9iIIl+ILX/rrx48dj+fLlaGhowMiR\nI3HmzBm89tprGDt2bEACdO/eHVVVVTh+/DgAoKysDPX19ejduzcGDx6MtWvXAgDWrl2LwYMHR4yL\nF/CcJydVpF0NRwQyh6Y2uSuYJM0TAsWffqZqUcE2Rh4iL42wF4jAUAVCFOJTnumQIUOwePHioAqQ\nmZmJxYsXY968eeJa7L/+9S+kpKRg8eLFmD9/PpYtW4akpCQUFRUF9dyB4imgKDs9zilaNlK59aoB\nsm1BmTIsJ4vmTYzTYVBv9SR8AsFbfFnBTIzToa3DhimX9MaK4mOy1Jjdiih6RkWZRmLgHyH68FqZ\nvvLKKy6PzZs3LyAhpk2bhmnTpjntz8vLw+effx7Q3KHEUxEGIfctkunVLQEsx2F8fk/ZfqGNHMdx\naGlzfI4X5o2DlovAhFlC18PF76elzYKkeL1s2LhhPaCxB75J36bseCQoTrllSpQpIfR4rUyrqqpk\n27W1tdi1axcmTpwYdKG6Cp5+owtuK8CTy3eERxg/YTgOWalxTvulqTHNEjevXkeDtRBlSggQN83B\nlZYkx3GgKcpRSUw6VrHkoJYaQ1YlCOHAa2X67LPPOu3bsmULvvnmm6AK1JXw9MSbkxGPC/PSsb+s\nHoB6haHOhmE4aFTKN4mpMaxcmWo1NNSTaQgE75G2YFMG6il/VkJmC6UyQPkbZNTyTIllSggDASUM\njh07Fj/88EOwZOlyuHrivX3yQMy47DwAUFVUkQTDstBo3ChTTp5HS1quEYKC5CunrN2rVH4c+ApG\nYvclyTHlb5AEIBE6C68t04qKCtl2R0cH1q5d63OqSjThKqp1YK9UdE/jXad0BFqjUhjWhWUqieaV\nQpQpIRhIizboFEVAlG5eVqi5IDaMcDdWzc1LtCkh9HitTK+88kpQFCX+AGJjYzF48GAsWbIkZMJF\nOp/8eFR1v1ainCL9h8y7edUVJJ++wGHWuL5YuZlPXSLVjwjBoM1kQ5uJL1OpVXhGlM+o4pqpZNtx\nTD5WLZo3wn+CQaGwsBBvvvkmBgwY4HlwCNmxYweKiorw5ZdfdqocnYHXyvTQoUOhlCOq0EgUTqT/\nkF1ZpgBvnXKc/Ck/Etd9CV2PHQerAQAdZptTQQUnN6+wZqrW1chFABIHqTKN8B8hISogZkYIkK5B\ntrZHdriOO2UK8Dcy4X5F2loRQoGTZcoqlal9zVTcdhxjFH0NBcUpHRNtunTv3r248cYbxZTCrVu3\nAgDWrVuH2bNno7CwEP/73//E8UVFRZg1axamTZuG22+/HWfO8FXPTp8+jVGjRuGll17CjBkzMGnS\nJJSUlHg8BgCbN2/GnDlzMHPmTMyePRv79u0L4xWITNxapuPGjfPKEtm0aVOw5IkKpMop1uC4xJFo\n07kKQAJ4S4ADJ97cFtxaEE7RCOcALMc5KTtnN69yzdQxwGpTKlP7HPaHRIblZFZqV6epqQlz587F\na6+9hvz8fDAMA6PRCAAwmUz49NNPcfr0aUydOhXXXnst4uPjce+99+Kxxx4DAHz++ed4/vnn8dJL\nL4nzDRs2DI888ghWW6G6eAAAIABJREFUr16N559/HitWrHB77NSpU1i2bBneeecdJCQk4OjRo7j3\n3nvPeT3gVpkuXbo0XHJEFVREqk11PK6ZckI0ZZgFI5wTsKxD1em1NCw21skty4qWqXM0r1KZsqJl\nKvQwjR5FCgD79u1DXl4e8vPzAfDdtJKTkwEAV199NQCgZ8+eSEpKQlVVFfLy8rBlyxZ8/PHHaG9v\nh80mb6cYFxeH8ePHAwCGDRsmqzLn6thPP/2EU6dO4eabbxbH2mw21NUF1j6vq+NWmV588cXhkqPL\noawJKkWqmyL5p8xxnFs3r3AvYtnIj0omdE1YDgAHpCUZcOOE/njjq1IVNy9AU1At2uDSMrW/x+kN\nUYzBYBBfC81Bzpw5g2effRZffPEFcnNzsWfPHvz1r38Vx+n1jkpTNE3LlK27Y5dddplqZ6+ysrKg\nfZ6uhk+1eX///XeUlJSgsbFR9vQYaDnBroiyJqgUqWv8QHnkNDNXIjzFu1amFD+Gc+SdEgjBICst\nDtUN7QDH8VYkHA9s8vVOfoOSVECSDrAyrtZMOVC0syXb1Rk2bBjKysqwd+9eDB8+XObmVcNoNEKn\n0yEzMxMsy4ou3EC49NJL8frrr+Po0aPo378/AL4d54UXXhjw3F0Zr5Xpp59+imeffRaXXnoptmzZ\ngssvvxzbtm3DhAkTQilfxOLOUHOld87UteHwqUYM7BUZheIFC8Dlminsbl57agKBECwmXZyLD747\nDJYTlJ2jKIM0nUx4yVdAcla2Sg+R1DLVqBR56OqkpKTgtddew5IlS9De3g6apsX1UDUGDhyIyZMn\n4+qrr0ZqairGjRsnCyTyhz59+mDp0qVYsGABTCYTrFYr8vPziTL1duDy5cuxfPlyFBQUYOTIkXjj\njTewefNmfPvtt6GUL2IxuOmPKLVMZ17eF19uOS5uF328F+/OLwypbN5iYwTL1NWaqRCARJE1U0JQ\nkeaMOlJfnMe1m3nXIiWpJyhVjowyNUZimWqiNCc6Pz8fn376qWxfcXGxy+2FCxdi4cKF4vZDDz0E\ngF9b3bHDUTtcuu3uGMBXv1Nrvzlq1KhzMscU8CE1pr6+HgUFfDQnTdNgWRbjxo3Dxo0bQyZcJCPk\nxg3rl+F0TGrFTRnTJ2JLCh493QwA2HtU3WUtWKYssUwJQUaeJSC4cvktqWX60Cs/AeALoagVbRAe\nCKE4JkYACxsEQojxWpl2795dLCnYp08f/PjjjygpKYFOp97xPtph7O6lSRfnOh1T6p1IrRpUUdMK\nwKFUlQgBSBzHkTVTQlCRKk4OsHeFUTE97WhoSjVNj1E2BxfdvI7vLFGlhHDgtZv3nnvuwfHjx5Gb\nm4sHH3wQ8+bNg9VqxYIFC0IpX8TSYO9V2mFmnI4pf/T5AzKx/UCV07jO5rxsvgjD7ZMHqh6nKAos\nOPlTPoEQBKTBRhwHgIJqUQZxPE1JFLBjv9LNKw1Aot0oZwIh2HitTH///XdMnToVAF/MYefOnbBa\nrYiPjw+ZcJFMSgIfNi5tYuyKO68ehLrmDpcWYGcjFOVXIuSZsixx8xJCAyeJ5nV0hXHWfrKlEpmb\nVxGAJBlCvrOEcOJTasyDDz6IuLg4TJkyBVOnTsV5550XKrkiHuGB2Jvfq1ZDIys1LuKUqSOa13UA\n0qa9fOmx1ESD6hgCwR9Ey1TYIW3+rebm1dCqLdic10z5//lCD3AaTyCECq8X8xYsWIAtW7Zg0aJF\nqKysxA033ICZM2fivffeC6V8EYvgTvL26Vcbga3LBBeZyzxTyetGu1ubQAgGUsUpFmWAsM9Z/Um7\nxkDm5nXOMxUihIXvNSl0TwgHPt3haZrGpZdeimeffRZr165FSkqKahWMcwHOB8sUkLdlixQEZerq\ngYB4yQghQ1JnV1qYgd/nOCagka2ZuovmdejaaAuau+eee/DJJ5/I9nEchwkTJmDnzp0u3zd//nxZ\n4Xspr7zyisf0xi+//FJMp3GHxWLB4sWLcc0112Dq1KmYMmUK1qxZ4/F9wcLd5wwHPrl529vb8f33\n3+Obb77Bzp07MXLkyHO2n6nyBuAJV4UROhOPRRuINiWECFkAEuQVjoTfllRp8opRLZrXOQDJ199m\nV2HWrFl47733cOONN4r7duzYAZqmMXLkSL/mDGb1ug8++ABNTU1YvXo1NBoN2traUFvrulJctOG1\nMn3ooYfw008/YciQIbjmmmuwZMkSpKWlhVK2iMZXyzRSnpJtDIuNe85gfH4ObHYXmdvavARCCHBY\nobw2lQYgCY5baY1eqWXqvgUbX0saUC9P2JWZMGECFi9ejLKyMuTl5QHgrcaZM2fCarXipZdewq5d\nu2CxWDBw4EAsXrxYDBA9cuQIbrvtNlRVVYlF6ymKwvz58zF06FDccsstsFgseOmll/DTTz+Bpmnk\n5ubijTfecJLjq6++wscffwyGYZCQkIDFixejb9++qKqqQkZGBjQaPgc/Pj5ePP+XX36JNWvWwGAw\n4NSpU8jIyMDSpUuRlZUFAHj77bexYcMGMAyDrKwsPP3008jMzBRlUvtc1dXVePTRR1FbW4ucnBzQ\nLorPhAuvlekFF1yA+fPno0ePHqGUp8vASp5+rxqZiw27KtyOj5TCDRv3nsEnPx6FjWWRbI9Edr1m\nGhkyE6IPaRoMb5lKiyzw/x0/2yKOZzlOLA8ohWE4aDWU6O7l4LBMhXtrsHRpcckpfL/zVJBmk3Pl\nxb1QWNDL7Ri9Xo+pU6di5cqVePTRR2E0GvHDDz/g22+/xfLly5GYmIgvvvgCAN/x6+2338YjjzwC\nADh69Cjef/99UBSFa6+9Fj///DMuvfRS2fxvv/02Kioq8OWXX0Kv16OhwbmueElJCdatW4ePPvoI\ner0emzdvxhNPPIEVK1bg+uuvx913340dO3Zg+PDhuPzyyzFx4kTxvbt378bXX3+Nvn374vXXX8c/\n//lPvPrqq1i1ahUqKirw2WefgaZpfPzxx1iyZAleeOEFt5/rmWeewciRIzF37lxUVFRg2rRpuOyy\nywL6OwSC18r03nvvDaUcXQ7haZemgDkT+nuhTCMjAMlkL8/WbrIhIZYvuOHKaiaWKSFUyIo22BNN\nHbV3+R/Xqq3l4niG5aCHc+1eluOg09KwMYz9vY7j0Zgac9111+Gee+7BX/7yF6xbtw75+fno3r07\niouLYTQasX79egD8+uWgQYPE902cOFHsKjNkyBCcOnXKSZlu3LgR8+fPF7vFqHkei4uLcejQIVx/\n/fUA+L9VSwv/0DNw4ED8+OOP2LVrF/bs2YOnn34aW7ZswT/+8Q8AwIgRI9C3b18AwPXXXy+mWhYX\nF6O0tBTXXnstAIgWr3DM1efasWOHWCYxNzcXl1xyif8XNgj4tGZKcODrukykuHmFu1hVQzvSk2MA\nRI6iJ5w7SH83ytq8gqqUunlZllNbMrW3EKQBSJSp3c0relyC5OctLPBsPYaaQYMGoVu3btiyZQtW\nrlyJ22+/HQB/P1q0aJFLhaLWns0fOI7DrFmzXK61GgwGsW7vuHHjcOedd4rK1N2cDzzwAK677jrV\nY+4+VyRB7qJ+4vOaaYToUkHw3YdrcehkIwDXbt66ZlPYxCKcWyjXP2VFG+w7dZJ0MquNVa2QxLLy\nUpccxzks0ygtJzhr1iy89tprOHHihNi1q7CwEO+//z5MJv43azQafe4tOn78ePz3v/+FxWIBAFU3\nb2FhIVatWoWqKr6iG8MwKC0tBcC7gOvr68WxBw4cQM+ePcXtPXv24MSJEwCAlStXYvTo0eKcH3/8\nMZqb+Tx8i8WCQ4cOefxco0ePxsqVKwEAFRUV2L59u0+fN9gQy9RPWB8t09Z2ayjF8YuKGr4PYqTW\nDiZEL5TEZctxvNWpVi5QoK7ZhLQk3pMirZDEchyG9cuAhqZgsjLYfbjWEaVOK0zdKGHKlCkoKirC\nDTfcILpk77vvPrz++uu47rrr7JHRFObOnSsGKnnDfffdhxdeeAEzZsyATqdD79698eqrr8rGjBw5\nEg8//DAeeOABMAwDq9WKyZMnY+jQoTh9+jSeeeYZWK1W0DSN9PR0LF26VHxvfn4+ioqKcPLkSTEA\nCQBmzJiBpqYm3HLLLQD4B6Ibb7wRgwYNcvu5FixYgEcffRRr165Fz549MWrUqEAvbUAQZeon4tOv\nl+MjpuiBRPkLlmeMQb2dnIamxFzUeded270KCcFFVrQByubf/H9SpTqwV4r4WmmZ6nUa3HzlAHyx\nqUzVMo02kpOTsX//ftk+nU6HRx55RAw4kqJMX5RuS1/r9Xo8/vjjePzxx2XjZ86ciZkzZ4rb06ZN\nw7Rp05zOM2PGDMyYMcOl3ImJiU7KWeCOO+7AHXfc4bTf3efKysrCf//7X5fnCzcRYZKYzWYsWrQI\nV111FaZOnYonn3wSAFBeXo7Zs2dj0qRJmD17tugiiATEACQvf7De1PAVsDEsnl+xF0dONfojmtdY\nbfzikqdAjZsm9sdFKq3mCAR/kdbh5YTUGEUA0u/2ZYjHbhqOC/qmu6iAxIkWqLSWNBC9bl5CZBIR\nynTp0qUwGAxYv3491qxZIy5uL1q0CDfddBPWr1+Pm266CU899VQnS+rA1wCk667w3t1SVd+Ogyca\n8eqne/2SLVgIDwxC1C+BECxomWXKyQKQpBZpdnocBvZK5TdEr63czSs8DIrK1P7F1SjWYAmdx8yZ\nM11apdFCpyvTtrY2fP3115g3b56omDIyMlBfX4+DBw9iypQpAPh1goMHD6ouincGygCk3t0T3Y43\n6Byu1JqmDvdzBySZe3xxfAk3rWh1lxE6EWm1I47fQSn8vGlJBvTtkeR4i0oRBmkAEgXK7ublj5Hv\nLSGcdPqaaUVFBVJSUvD6669jx44diI+Px7x58xATE4OsrCyxmoZGo0G3bt1QWVnpU+Wl9PQEn+TJ\nzHSvFAXiE/hQ84yMBKQmxuCVP1+BGY+u8WqOsw0dOL9/N5fHjVbe/UpRlNfyeEt8vHP3F0/nSE6O\nlY0JtkyBQuTxTKTJlJrCt/1LTo6DTqeBnuWQlsZXy0lM5L9vNoZDUmKMKHtqo8n+Hsf3kWU5JCYY\nkJmZiIQEAzjJ3LF2j0pqarzHzx9p14fQ9eh0ZcowDCoqKjBkyBA89thj+PXXX3H//ffjlVdeCcr8\n9fVGWb6aOzIzE1Fb2+pxnMXK4N8r+QCAhoY22EzySF1Xc9x85QB89P0RpCfo3Z6noaHN41z+YmyT\nB0Kdl+36MwsWgLHVJI7x9hqFCyKPZyJNpszMRLQ0896ZxsY2mC022GwMmhr5731zSwdqa1vR0mYB\nY2VE2Zub2wEATU3tqK1tFa1Qk8mK2tpWtLfzKR21dXyUus3K51I2NLQhUe/aCefq+hAFS/CFTnfz\nZmdnQ6vViu7ciy66CKmpqYiJiUF1dbWYXMwwDGpqapCdnd2Z4gIAjB0O5elLlRWhSIKyobGvcByH\nH0oqYLLYApoH8E7+aKwkQ+hcpC5bPgCJkuWZ1tmXQjbtO6P6HkBa6Ug4zv/PsGR5ghB+Ol2ZpqWl\nYdSoUdi2bRsAPoK3vr4effr0weDBg7F27VoAwNq1azF48OCIKK4vLWfmi54Rog4ZLy1lV+wvq8fH\nPxzFZ8XHfH4vpzg35cUNx5sxBIIvKDvEyPNMOVQ18Faoxcq6fI8yaldQtkLxe40kYphACDWd7uYF\ngL///e944oknUFRUBK1Wi+eeew5JSUlYvHgx5s+fj2XLliEpKQlFRUWdLSoAuTL0pRi80w3EAy1t\nFtX9QkqLr4UgWtos+FpS7xQglimhc3CkxvC/B2kFJHDqD3DS9wDSsoG8TSC8Q/h9RutDoMViwYsv\nvogffvgBWq0WMTExmDt3LiZOnIgff/wRJSUleOyxx7Bjxw4UFRXhnXfeEXM429vbUVNTgz59+gAA\nrrjiCtUczkhl+/bt4DgOY8aMCfrcX331Fd59912UlZXhySeflLW684aIUKa5ubn48MMPnfbn5eXh\n888/7wSJ3CNtSOyLnhGUkqc1XEHXNrSY0GG2IdYg/zOpNUn2hvoW5/KA3txvSOleQrARvsMlh2pw\n6FQTBuSmyAo5pCXygXL/3965h0dR3f//vbu5EW4hECDcvlgVGhVFQLC0ogYlUXKBBySUilpAf2rh\nsShYvvgoCGIFeRAr+K1Vfpe2PmJbRAUU1CfQqiiCEjWAgMjVBAgJISQhm2T3/P7YndmZ2Znd2dlr\n4vv1B+zMnDnz2c2Zec/5nHM+n3vyBvudKzV7X3J7dZ0/VnnGXiVPUHtbGbN48WI0NjZiy5YtSE1N\nxaFDhzBr1ix07doVY8eOlUMMSnTr1g3vvPMOAMgC+9Zbb8XD9KC0trYiKclYlj7//HO4XC5LYupy\nueQJrXpcddVVWL16NV5++eWQ6wYSREzbGi7FmGcovTZZTEO4ufXFVP+ap87W48CJ87h9RH/d43oP\nFTPjSuyZkkgjeXR2lFV4t309S7dieUt6mq/t2zVu25ZWz3yKZO+yM+n4/33fE9c10mOmF7/ZgYtf\nl0a0TonO1+Wi87W3BC33448/4v3338f27dvl4PWDBg3Cgw8+iDVr1qC4uBg7duwIaU2nEAKvvPIK\nPvroI7S2tiI7OxvPPPMMunfvjhdeeAGnTp3ChQsXcOzYMVx77bWYMWMGVqxYgYqKCtxxxx147LHH\nAAC//vWvMWTIEHz55Zeoq6tDQUGBHDPgzJkzeOaZZ1BZWQmn04mioiI5E9mYMWNQXFyMzz77DDk5\nOZg9ezbmzZuHhoYGNDU14bbbbsOjjz6KAwcO4F//+heEEPj4449RWFgoC+A//vEPAMDOnTvl7Z07\nd2LFihUYNGgQvvvuOzz22GMYNmwYnn32WRw+fBhOpxOjR4/GH/7wB9jtdgwe7Hlxs5pUnmJqAcs9\nU/lN2bya6vU+5Z6pRpUX/Z8vIASMxVRn7IhuXhIPtE3KE7RBEbBe7nXa/M6Rbgmnd7gjRQqIr6nT\nF7QhQkYnAIcOHcKAAQOQkZGh2j906FC8+OKLKC4uDrnOjRs34vTp03I+0b/97W9YsWKFPKxWXl6O\nDRs2IC0tDRMmTMCf/vQnvPbaa2hubsbYsWMxZcoU9O/veeYcPXoUb775JpqamlBSUiLnNZ03bx7m\nzp2LYcOGobm5Gffccw+GDBkiB7u/dOmSnLO0qakJr7zyCtLT09Hc3Izf/va32LlzJ0aPHo3JkyfD\n5XJh3rx5ADziGYiDBw9iyZIluPZaTzjUBQsW4Fe/+hX++Mc/wu12Y+7cudi4cSMmTZoU8u+mhWJq\nAeVs3FDeYqy4Z/WKymHXDMoKISKaGo5aSiKNXvtU90x1Ioxp5hw0e5e+SAFRtPMXIt0z7XztLaZ6\nj9EkGtGcSktLceDAAVU+UaVYjxkzRs4vOmjQIFx77bVISUlBSkoKBg4ciJMnT8piOnHiRCQlJaFT\np06444478Pnnn2PYsGH46quv8PTTT8t1NjQ04MiRI7KYKl8CXC4Xli9fjr17PRHgqqqqcODAAUuu\n3csvv1wWUum77tu3D6+++ioAj3APGBCZtHoUUwuoJiBZGjM1f47erSP1MI0u7XILJDl0juq5ec30\nTNvpRA4SP/x7psqlMYrY14pydk1P0+kV05Rku19ZQDFm2o5m8w4aNAgnTpxAbW2tSvDKyspkN2Wo\nCCEwZ84cwyD1ylyodrvdb7u1NfASPbfbDZvNhg0bNhiOh6anp8uf161bh8bGRmzYsEEOvu906icK\ncTgccCseqNpyynoBn0u7T58+AW22AqeWWMBozPSJe4ZjwW+GGZ4niVKwnqny5rfyJmq09EZvr5mX\nAbp5SaTRd/P6tgOlOJRuCWnZjNwztRn0TNuPlqJfv37Iz8/H4sWLZeE4dOgQ/vznP2P27NmW6szN\nzcXrr7+Ouro6AB5BkvKJhso777wDl8uFhoYGbN26FTfeeCO6dOmCoUOHYt26dXK5H3/8EefOndOt\no66uDllZWUhJSUFlZSW2b98uH+vUqRMuXvQF2Ojfvz9OnDiBixcvwu12Y8uWLUG/61/+8hc5fkFN\nTQ1Onjxp6btqoZhawGjM9PI+XTGof4bOGR58b9bhuXmVnDxbj5c2fKNyPbtc5us35+almJLIonXJ\nXmxskduZJ8epZ79yJrm2GVZ5AzvI7dOwZ9q+WLRoEXr27Ik777wT+fn5mD9/Pp544gmMHDnSUn2T\nJk1Cfn4+fvOb36CwsBCTJk1CWVmZpboGDhyIkpISTJgwAbfddhvGjBkDAFi1ahUOHDiAwsJCFBQU\n4LHHHkN9fb1uHffeey927dqFgoICPPnkk7IrGADy8vKwd+9eFBcX47XXXkOfPn0wffp0TJgwAdOm\nTUOvXr0C2vfkk0/C7XajuLgYhYWFuP/++1FVVQXA8yIwZswYfPTRR1i1ahXGjBmDH374wfR3p5vX\nAmGPmQZx8yoFNJDw2mw2rNuyHyfO1ONUVb1f1gz/iv13mXPzBi1CSEhom53LLVT5TAP2TL0NWboP\nJTevtn23V49KWloaFi5ciIULF/odU+YeHTVqlN8SGL19ADBz5kzMnDnTb792DerKlStV22+88YZq\n+5e//KVfPlQA6NmzJ1avXq37ff7zn/+otvv372+4dGfAgAF49913VfvmzJmDOXPm+JUdPXq03zhr\np06dsGTJEt26i4uLLU3gkuBj0gJnzjdaOi8aPdNkh+dP2OoSiqU3Rm5e//0OLo0hcUArkspJc0II\n+R5RzeaF2m0ruXc7pnkC2muHN9qjm5ckLuyZWuBUVUPwQjrYTI6ZKgkmvA6vmLpcbsMlMwFtMiGU\nUsQlQiKFXrPzzeb1T3GoR7O3XSZ7l8Zo75X2OAEpkdH2Un9qsGdqgSv7dbV0nvSiHHQCktD/7Nvp\n+yg9MFpcbkiPIyMx1Q/aYGxH8a8uAwD0ywotjR0hwdBdGuPd9cWBM3Ib1nfzemjRiKm2Z9peIyCR\nxIQ9UwuE0vNTIrt5w1wao8Th8C23MSvWejbpUfyry2RBJSSS6I0uSMJ5+NQFudepLKcN2iBFQEox\n6pk62FcgsYOtTUNldQMu1OuvaZKwKqZRcfMq4/0GcfPq1cU1pCRRUL7XSZlfAg1DSEtjkryiqW32\nbNskllBMNTzx6i48/ufPApZxWfQb2U2OaSpFL9ilpAeGZzZk4Ni/eg8mTi4i8UCv3SmXy0jLu/QF\nUcDZ4sKmncc85xkkkHBYCN9JiFUopjoEm3ATtps3SDnl2E+wXqwy3m8wsVY+wKTPeplkCIk2Wi0V\nQr2vVe6ZKs/xjYF+dajKr07tvWJmpjohkYJiagHLbl6TKdhCqV96YHgePoHrtyn+2tKD55sj1aav\nRUikCDQBCVD0TFVLY3zIwe0VGPVMCYkFFFMDXt74rRxIW4tRuL5gmA0nqHQj65VV7pHrdAtVoHDd\n6+s8wEb8vGdAWwiJBtqWqM0a49LJGqOkU4dkv33adm/nbF4SQyimBuw5WIV9R2t0jzkNRDYYZsdM\nleEAgz0IfBOQrGWl+Vl2F9NlCYkU/kEb1AIrRTdSFVPEYJAmHf3+ruvkw9rIYg7vui9qKYkFFFMF\nfhMVDLxE277wBEZ+7Q+3hlS/r2cauJxKbIOUVc4Qlh5QRj1npchKX42eMBIPdIM2KHa2BnHz6sXu\n9RszlTInsWtKYgDFVMHRijrVdrCZrqHOhLWbHDMNNgFJGR3GoXTzSs8Oo/lTiqp8wcGppiT2BB0z\n1ZmAJCEM8p1yAhKJJxRTBVs+ParaNtKZW6/vi87p/mM2wTAbm9etWhoTZDavojeqzLqhh1CJqff/\ngLUTEh30e6a+z9JQhzo5uO+zHLtXcb4wiM3LfimJBRRTBcpsMIHYvvdHXGxsCbl+ySUVdAKSYvAn\nqIfK5v/xude/0i0qXffB4qvl3u8XB84EuQAhkUfbM3XYbRo3rzcCkj2wmzdQzzSJYkpiCMU0IJHt\nt5ldGtPY5Mtcb5T/Rb9+c3YoZ0Ke4zpTEgf8k4OrM5zWNTTrlgM8QipkN69vv3YCkiy0VFMSAxib\nV0FTc6tqO9LDiWYnIJX/4JtFrOfmNeqtBssAI3TGmejmJfFA2+7smqUxO8oqvPsVbVXWRgG3vM93\n/LLszvjk20rckz8YXdJTOB2AxBSKqYKd31Sqto3uxWsv744L3jfnUDA7AWnIzzJR9v05APrCqdwl\n2ejJBxn4+tJl+Ywh8Ub74mczmCxk1Kb18p3ecn1f5AzMRO/MdADA4VO1nrLsmpIYQDdvAIxuQbdb\nWI5p67Dbgo6ZqlbG6PZMlUtcQuhl6rjGzOQzJSTSaLXT6H7S3W+Q79Rms8lCCvgnEyckmlBMA2A0\nk9blFpan3dtsZsRUMZtX1y5fXcpywYRRzzVGSHxQt0Gj20k1JKGIbS3fm4GaMrWUxBCKaQCMvLFC\nCMvpnVpdbtUEI936FRfWE/R/bP/et6G/ckC/Xp2eKSHxwG8CksH9pMpnqtgvB20I0JjZzEksSSgx\nXbNmDQYPHoxDhw4BAMrKylBUVIS8vDzMmDED1dWxDcquXbcmEU7PFAD+7Z1cYUS9Qmz1TDh/USff\nqlC7fHXR6dFyYTuJB1oRNHoQ6YqsgZvXCAZAIrEgYcR03759KCsrQ9++fQEAbrcb8+fPx1NPPYVt\n27ZhxIgRWLlyZUxtMuqZesZMo3PNb45UY/POY/J2oKANQviC2wsg6Ku4W3ecyYqVhISHX7szM2aq\nmM0re1kCNXr5ENWURJ+EENPm5mYsWbIEixcvlveVl5cjNTUVI0aMAABMnToVW7dujaldgcZM7fbw\nfrryo/q97IMnz2uMMK6jucWlElBlHtZAE5eUDyAmByfxwGyzM3Lz6r0Y+l0DUsSx0GwjxAoJIaYv\nvvgiioqK0K9fP3lfZWUl+vTpI29nZmbC7XajtrY2ZnYZTRRyi/B7phv/c1R3v/ZNO9BkJbcAaup8\nLl+l+1d7Vk1hf8p9AAAceklEQVRdExqdHvex8gH069sGmbSYkMhhdhKcXjll0IaAY6Z8TyQxJO7r\nTPfu3Yvy8nLMmzcvKvV3797J8rmdOqUhK6uz336Hw460tGTdY0Hr7JCM+kstcCTZdc/v2DFFtd25\nSwe/clf2z8Dhk7U4cPy84rxUVZkePTqrxkNnPFcqf87M7Ch/vmJgZsjfw8r3jia0JziJZlNPjT3J\nyQ5dG7OyOqNDqucx5fJ6gzp3TkNqigMAkNm9o+F3O3/J8/LYpav/PaR3HULCIe5iunv3bhw5cgRj\nx44FAJw+fRozZ87E9OnTUVHhm6hTU1MDu92OjIyMkOqvrq4PGiTBiAt1l1BVddFvf3OLCy0tLt1j\nwZDellua9c+/dEkdDKLugr8NehOj6uvVYQGrqurkfI5aas83yp/Pn29EusP8K3xWVmdL3zta0J7g\nJJpNWVmdca66XrWvpblV18aa6nqkJHuEs6b2EgDg4sUmNCV52nZtgPZbW+tp5xdq9e9jpT16xymw\nJBTi7uZ94IEH8Mknn6C0tBSlpaXo3bs31q1bh1mzZqGpqQl79uwBAKxfvx75+fkxtc1IhIWwngc0\n+JKa4G5eo7Rsqd6HjrRteAXFJTiZl8QDbbMzaq5Gbl63iWVeyvCDhESbuPdMjbDb7VixYgUWLVoE\np9OJvn374vnnn4+pDUZi6lakOwsVm98Hg+NedMMJGiilkVBry3PSEYk3Zu8fpXPFN3NdQAjPFtsy\nSRQSTkxLS31je8OGDcOmTZviZovLcDavG0khuEaVSA8Ro7O1zwY94dRmx9Aru3nnMdx6fV907ZTq\nn1pO1TPlw4gkLjadpTHvf34CBaP/y3s8wLkMgURiSNzdvImMUdCGVpeAw2Htp5M6j2Y1TD+cYPDk\n3+9+egyvbt4PQL1kxnNt/0wchCQies3zdE2jbkhNI6ilJBZQTAPgMoqA5HIjyaKYBrv5tT1F3Z6p\nwRpS7diQs9kFwCP+6muoDApoDyGxwMyYqXLZWChjpoTEAoppAIzGTFtdAkkWZ+74xNLcoKn+mKnO\nPoP9APzdvEp7DI8QklgoxdFMbF5tWUKiCZ+lATAaM211u+GwOGYqYfat2fxsXuGX01R6q9eKqd44\nFCHx5L78n4dUXi/RfYDSFiwiJDQopgEw6pm6XMKym1fCeAKStmvqX8aot+pZsuM/HlpZ3agqq5z1\nywlIJN6MGJyFPj06Bi+owEygezllG7WUxACKaQD0xkybW1xwuYWfQIWKVjTrL7VgxnOl2Fl+WrVf\nAGhsasHy17/CuQuX5H1aJDevsl5JKLUvBQ4KKGnjmOmZspWTWEIxDYBez/TIjxcAAF8dqorotaq8\n0V3O1KhF2i0EvjhwFgdP1mLzzuOenTqv2mWHz3nzrPr2Sc+ZpCT1n1nZM2WicBJ3FG3wuf91Y4Bi\nyglIfqcSElcopgF499Nj0avc7NIYoSwrFP+qOVpZBwHtshd9N5dy7hQjIJF4o2qCJtXRTKB7LjMl\nsYRimugolFD+GODpoHThHjh+HjV1Tf4RkFR5raimJHEw2xpNjZnKZSmnJPpQTAMw9IoefvsidVua\nzI3scWdpFqgHSsumDSm47G9f+vdMVW5eM9YSEj3MJqtXL42RcvOarJiQKJNw4QQTiUCiFWm0eUwl\nhBBoavYsbTHzbNCWOX/R6RfMQTXjNzQzCYkqRveB55gPqUVzzJ8kCuyZBkB3PWeE6g7FnbXh30cA\nAA2XWuR9RuiNIQXumfJhRBIH02E2Q3LzhmUSIaZgzzQAerN5u6R7knePGJwVXuWap0CLQZQiAd8S\nnR8q61RJvvXQyxyjHTNy0M1LEpSAL3eKY6aWxjAFG4kh7Jl60c/O4r9PEqLhg3tau47Bjf1m6eGg\ndtXUOYPWrzc71382r368U0ISGWVL/ecOj7eGs9FJokAx9aIncXoBkHxjNdauYzSVv+r8JX27Qnyp\n1u2ZarbNTvggJBaoA4349vfq1iGkcw1hx5TEAIqphH6uM3P7QkBK3eYKFC9XdTmBW4f1NV2/3e7/\nJ9X2upmCjSQsigb51H03aI4FLK5zzLvOOhJ2ERIEiqkXPferUdg+wPrEHclNrM0xamwXkJrkCLl+\nJX9+Z59heU5AIomEsjlqvTh6LdVUOEGqKYkBFFMvRmnNjHZalSBJ7FoNguhrOXHmYki9x1AD11NK\nSbyxGXw20zgDrzO1ZA4hlqCYBsKswIZAjwzPOJC2B2lU7xcHzobUewy1o8meKYk3yravTgauRq+t\nmmm/nM1LYgHF1IvebF5d1688Jd/adX57hydvY19Nyqm6hmbV9i+u7i1/DuVawcpqj1NLSbxR9Uwj\nODmO60xJLKGYetG94QLehNbu9A6pSeiVmQ63EGhqbsU3R875Je8GgF/fdqXvSqH0TIPY5TcORTEl\n8cam+9FvK/R62bhJ7GDQBi9mtdRM5JVg2G2eev7f1oPYtf8MJtx0mV+Z5CRr7znBe6baxxUfOCRx\nCDTTPOQhjAjYQ4hZKKYSIa6CCedGtdlscAuB3fvPAgDe/vioX5kUlZia91MF68VqJ/vy5Z0kKn5i\narEeunlJLKCb14v+JIUA46gR6JkGQimKgcreeFUvzXlB6vWqaa537SonIJFEIpLRueQxU05AIjGA\nYurFbHwG2c0bxo3+Y1UDvv2hWk7xltEpJWTbJFKS1X9Cs9r4m9sH4bXHbzVXmJBooprOa/BZf0dg\nvMU3fXoMNXVNodtFSAhQTL0InQ5nFOYfyfW2tLrRIdXjZc/skhakvLEloY6BOptd8nl6oQcJiSfK\nFhnuZDnpXjh3oQn/8055mJYREhiKqYxOFgqvhn37QzVmPFfqyQ0avpdX5rN9pwHoB9TXMU0XvyAN\n1EfShonWsEOT0xWVegmRoJh6kfRKGdpW6hFu/+pHAMCx03Xyvkje88HENNBRrR38g5K2TCTvK2Vd\nLpMRxwixStyfvefPn8f999+PvLw8FBYWYvbs2aipqQEAlJWVoaioCHl5eZgxYwaqq6ujZodvyYt/\nz1Ta5XZDoWzW7/pfDukdvJDKOOND2p4pXbekLWMynWnIBPX+EBImcRdTm82GWbNmYdu2bdi0aRP6\n9++PlStXwu12Y/78+Xjqqaewbds2jBgxAitXroyaHVJkI6U4SfefJFBu4Ru9DOfG7piWrNp2B5na\nG8qYKcWUtGUiue5ZeW84W+jmJdEl7mKakZGBUaNGydtDhw5FRUUFysvLkZqaihEjRgAApk6diq1b\nt0bNDj03b6DgvOHc8lrBC+aC+v7UBcNjfm5eiilpywTqmYZx113QhOskJNIkVNAGt9uNN954A7m5\nuaisrESfPn3kY5mZmXC73aitrUVGRobpOrt372SqXPJFJwApH6jnLdbhsCMrqzNSvbNuu3RJQ1fv\nzNuuGenIyups2g4lnTulqrZdOlqqrDs7qxOOVNTp1nWhsUW1nZ4WeJmNtm4rhHt+pKE9wUk0m5T2\npKYmy9vKGNlam5uaWwPWo8Weon68BSqbaL8PaXsklJguXboU6enpuPvuu/Hhhx9GpM7q6npT4yXy\nm6viZm5tdaOq6iKcTs9NXFfXBJs3jm7dhUuoqrpoyaZLl9QC2ORUPySuvixTVXeKw/iNfJd3RrDP\n5uDuLKt2A56HTjjnRxraE5xEs0lrj7O5RbU94abLMGJwTz+b9Vy1gb5Xbb3TVFmj34cCS0Ih7m5e\nieXLl+P48eNYvXo17HY7srOzUVFRIR+vqamB3W4PqVcaEtKYqcJNKo+P6pUPw5uqTb/WrHlI/G7i\nNQCA3t3TVXboMTKnp2o7xWJMX0LihqaBF/3yMvTRZFUCQr/lOOBBYklCPHlXrVqF8vJyrF27Fikp\nHjflNddcg6amJuzZswcAsH79euTn50fNBnmykSqMn/ouF0L4UrCFcS3tuGZTs1pM07zuqVFXZyM1\nxREwAlKf7uqHznVX9MAdowaEYR0hiQkjX5JEJu5u3sOHD+OVV17BwIEDMXXqVABAv379sHbtWqxY\nsQKLFi2C0+lE37598fzzz0fdHrM3bDj3tbZnGtAWoZ9r1ciQJIcNd916Bd7fdcK6gYS0B6i+JIbE\nXUyvvPJKHDx4UPfYsGHDsGnTppjY4Uv6HTjAvIjA2hi/qEVenrpvhGrGot1m8/aGjevyrymwXb26\ndTBnJCFtHEopiSVxF9NEQ9lp9MVnMDmOavYaBj3TzC5p6JLum41rs3ncz4F7ppp1pkEMu/qyTNN2\nEpJIhBx3gWpKYkhCjJkmAvoRkIy7puF4kIzcvP6BvS30TENMDk5IWyEpwKz2YPxXL87MJdGFYupF\nmJjNK0QoabqNMeqZGmXJOHO+0bAum82zlEDeDqKm1FLSVnHY7RgxOEvOthQMZVMPFmWMkHChmHrx\nDYXq+XmDlAsRI1esXzQjmw0ut8DhABGQAGDYlVmGdfhfm2pKEotOHZKDF5Kw2UzH2VXeo4zNS6IN\nxdSLHE5QoTWNTv+IK5Homhr2TO3+bt5g2Gw22BTnUStJW2PyLZebLmu3WetlMmsMiTYUUwmdQPf1\nl1pw7sIlqDurkR0z7ZWZLn+2kgzZBvULQDABZs+UJBopyQ7TZW0h9EyVuNzukM8hJBQopl6MVrxU\n1TYpyvgGTcMJuq3sgSojFvnl+TappkqBDHoGtZS0YWw28y5bvjeSWEIx9SJ5jrQ9N78oSNKHMG5U\n5TWUMxS1bl4zsR1ssKkfGkFn85qxkJDExAab6ZEWZVPn/CMSbSimXuSgDRoF096D8hKaMK6ldPMe\nrfQF2NZbGmMGZTm6eUl7JrQMg2zrJHZQTDVob1bh51IKX03N5hw15eUN1c1LSBuG66RJokIx9aIb\ntAGaqCuKz2GNmVrocRqWgVp0g53DhxFpy4TSfNnUSSyhmHrxLY3xn1GrF683nBvVbM/UVDGbTe3m\njUSdhCQofBkkiQrF1IscASnIvRqRCEgmHwj1miTietigFudgVfNhRNoyobwMBosMSkgkoZhKSLN5\nA9ytQlEuHMzqWe1Fp4nKQnXzmrs2IYkIXwZJokIx9SJppDYIvdCMmUYiaIPZUx2O4H8eT9AG88bw\nUUTaMiGNmbK1kxhCMfUiuXn9BUzIt6RbRCZog1mSTPi0bDabyvUVVFj5Zk/aMCH1TFVF6ecl0YVi\nqsFfjBTBsoWIzC2puEZ6gAwY5pfQKP28gctyAhJpy1htvgzNS6INk4N7kdy5Dr2ciTZfmUjM5lXy\nsz5dMHHMz3TTrJkRU791ppyARNoxobRfdQQkqimJLuyZepH6nNoxU5vN59L1ZKuI7E05s+AqXJbd\nBTde1dvvmFEScZV90ExAMnh3v/7KHnJ5QtoqVteZUktJtKGYepF7ploxhe+mFG5hGNzBCj8fkIGu\nHVPCq0S7zlTHrG6dU9GzWwfvccopabsom+/tI/oHKy1/YnJwEm0ophocdv+fRLqB3aoISImBZ52p\nYlvHsAE9O2HwgG4AgMv7domNYYREAeXL4KmqetPnMTk4iTYcM/UiDNaZCijcvG4Rkawx0qkReVnW\nRGjSc/PabDYMvaIH1s4dgw4BJjwREkte+v1NId8DytadGiQPKt28JJbwyerFtzRGE5vXLRQ9U+HL\nLhNT64zRrjPV65lelt0ZACikJKHomJYc8jlWhykiNA+fEEP4dPUSKGiDUkxlwhh7lMdgLdegrCuw\nHYt/ewP69ewUgSsREn+UzT27R7rpsm53lAwixAvFVMJgApIQQhYst3ICUhiXGti7C/pldcKUW68I\noxZ9lOI6qF9XDOjVOeLXICReWH2H5dIYEm0opl5OeiczaMcc3cInnO4IhRNMTXFgycyR1itQ4Bdi\nwrvjfy/IjUj9hCQWyoHQYCU5m5fEDs7m9fK3bQcBAKdrPMETpMkNyp6pcIvEi0pmC7hJSLsipAhe\nirKtLsHeKYkqCS+mR48eRUlJCfLy8lBSUoJjx45F9XotLvXgivL2U4YTTJT1mtq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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "temperature_2 = table_driver_2[['VehicleSpeed', 'OilTemperature1']].copy()\n", "temperature_2.loc[5000:5500, 'OilTemperature1'] *= 1.15\n", "\n", "sns.relplot(\n", " x='index',\n", " y='value',\n", " hue='channel',\n", " kind='line',\n", " data=temperature_2.reset_index().melt(id_vars='index', var_name='channel')\n", ");" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 615 }, "colab_type": "code", "id": "KYsN7o3hAb-I", "outputId": "e7c76fb0-cdb1-4afa-9250-deb16326d6c6" }, "outputs": [ { "data": { "image/png": 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FkTA5CavO4cMiHR0QWN3d2PeWW7D/+DiC+ltasH25LPLqq/hdLKp42rBB5Omn1Vo2Po5y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BpwsLZs2bID/u4jH/nIUSkMAAAAMg04WPv5z3+e8f/t27erqalJU6ZMIVgDAAAYJAMO1v7zP/+z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\nAACACCNYA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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "plot = sns.scatterplot(\n", " x='VehicleSpeed',\n", " y='OilTemperature1',\n", " data=temperature_2,\n", " color='blue',\n", " alpha=.1\n", ");\n", "plot.axes.set_ylim(0., 140.);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "CuBJIu0xBQL_" }, "source": [ "# Anomaly detection algorithm: learn what observations to expect to recognize anomalies\n", "\n", "Let's look at the visual distribution of engine oil temperature and velocity again and directly compare vehicle 1 with vehicle 2." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 615 }, "colab_type": "code", "id": "Gdd87n-SCxZQ", "outputId": "11699259-5686-460b-ba88-4103074eddf9" }, "outputs": [ { "data": { "image/png": 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nKHc8iB+bwokja7SIZLjJ1YT2JC5kxNaqkZrNsmDNGGPMc06ce5jyvv8P3fV4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\n1hNz4Gjh2Y+V5cKzHSKNUSw6j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a4GYw3GOXKuzFpPUZquMazGyhAzbdejlWASXAwU9DQi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\nIjUaDc2cOVOf/OQnNWn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"text/plain": [ "
" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "temperature_1['vehicle'] = 'vehicle 1'\n", "temperature_2['vehicle'] = 'vehicle 2'\n", "combined = pd.concat([temperature_1, temperature_2], axis=0, sort=True)\n", "\n", "plot = sns.scatterplot(\n", " x='VehicleSpeed',\n", " y='OilTemperature1',\n", " data=combined,\n", " hue='vehicle',\n", " alpha=.1\n", ");\n", "plot.axes.set_ylim(0., 140.);" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "rjxGWdSADpxo" }, "source": [ "You'll notice that the engine oil temperature of vehicle 2 tends to be higher than of vehicle 1 and vehicle 2 shows an island of high engine oil temperature separated from the bulk of data points.\n", "\n", "We can use this by modelling the distribution of value pairs velocity and oil temperature that we would usually expect to observe.\n", "\n", "Let's model the expected distribution of data points with a model called [Gaussian mixture models](https://scikit-learn.org/stable/modules/mixture.html).\n", "This model fits a set of [Gaussian distributions](https://en.wikipedia.org/wiki/Normal_distribution) to the distribution of value pairs we observed for vehicle 1 - thus defining what a healthy distribution of values looks like." ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "j_aKn_lrXagK" }, "outputs": [], "source": [ "model = GaussianMixture(n_components=4)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 85 }, "colab_type": "code", "id": "IYY9r8yAXv-1", "outputId": "b919145e-f5c4-435b-acb6-6de6a573e94c" }, "outputs": [ { "data": { "text/plain": [ "GaussianMixture(covariance_type='full', init_params='kmeans', max_iter=100,\n", " means_init=None, n_components=4, n_init=1, precisions_init=None,\n", " random_state=None, reg_covar=1e-06, tol=0.001, verbose=0,\n", " verbose_interval=10, warm_start=False, weights_init=None)" ] }, "execution_count": 17, "metadata": { "tags": [] }, "output_type": "execute_result" } ], "source": [ "model.fit(temperature_1[['VehicleSpeed', 'OilTemperature1']])" ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "KHTY1naMNxtq" }, "source": [ "After training our model on the observations for vehicle 1, let's score the likelihood of observing each observation we have on vehicle 2:" ] }, { "cell_type": "code", "execution_count": 0, "metadata": { "colab": {}, "colab_type": "code", "id": "4zmhbWCvZi1s" }, "outputs": [], "source": [ "temperature_2['health_score'] = model.score_samples(temperature_2[['VehicleSpeed', 'OilTemperature1']])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 365 }, "colab_type": "code", "id": "WHSetSn8GN2f", "outputId": "26685f9c-c3c5-4838-9aaf-60209d093813" }, "outputs": [ { "data": { "image/png": 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af+vq0rtfbmT3gTyvPw4ZBwvJOFjIxp0HKSxycHV/3116vizfuN/rXOiZrWOqXVNE2NFv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\nafGFnHURJWu/rrA89IK/+tzeEtUYDIs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" ] }, "metadata": { "tags": [] }, "output_type": "display_data" } ], "source": [ "sns.relplot(\n", " x='index',\n", " y='value',\n", " hue='metric',\n", " kind='line',\n", " data=temperature_2[['OilTemperature1', 'health_score']].reset_index().melt(id_vars='index', var_name='metric')\n", "); " ] }, { "cell_type": "markdown", "metadata": { "colab_type": "text", "id": "x8p_dSEVHmYo" }, "source": [ "To clarify what we did here: We learned what a healthy distribution of vehicle velocity and engine oil temperature looks like based on data from vehicle 1 and applied this model to data from vehicle 2.\n", "\n", "Looking at the health score we compute for vehicle 2 we notice that our health score drops markdely between 5000 and 5500 seconds into our CAN bus trace - exactly where oil temperature spikes unhealthily.\n", "\n", "While we would need to do a lot more validation and model calibration before we could use this approach in a live environment, we can already see the potential of this approach.\n", "\n", "With this approach we can start devising data-driven products and services for smart telematics and smart maintenance applications." ] } ], "metadata": { "colab": { "collapsed_sections": [], "name": "2020-01-05-CAN_bus_data_analysis_with_python.ipynb", "provenance": [] }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 1 }