Experiments.ipynb

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  {
   "cell_type": "markdown",
   "id": "1748d04d-7815-44ee-81d4-070b3c039f18",
   "metadata": {},
   "source": [
    "## Environment Setup"
   ]
  },
  {
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   "execution_count": 54,
   "id": "c2ac2366-563e-4a05-9767-659287f725ef",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "# Standard Python libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import datetime\n",
    "import plotly.express as px\n",
    "import plotly\n",
    "import plotly.graph_objs as go\n",
    "import random\n",
    "import networkx as nx\n",
    "from sklearn.metrics.cluster import normalized_mutual_info_score\n",
    "import math\n",
    "from scipy.spatial.distance import euclidean\n",
    "import csv\n",
    "\n",
    "# Custom Functions from JY_Utils.py\n",
    "# These include the custom algorithims, as well as helper functions\n",
    "from JY_Utils import map_values_to_circle, filter_transactions, recurring_streams, label_missed_payments, get_target_dates, nearest_dates\n",
    "\n",
    "# Automatically reload the functions from JY_Utils before use\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%reload_ext autoreload\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d59954b4-55d3-48d9-9ac7-b63503774bf4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Used for Graphs\n",
    "#%matplotlib widget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1688dcb7-b31d-4926-a599-6e168e0f0e44",
   "metadata": {},
   "outputs": [],
   "source": [
    "## If the NMI graph is displaying annotations in each box, this can be fixed by upgrading seaborn\n",
    "#%pip install seaborn --upgrade"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "31033bdb-1371-4421-90aa-96808fe39958",
   "metadata": {},
   "outputs": [],
   "source": [
    "## Not used currently, but kaleido can be used to export 3d graph images.\n",
    "#%pip install kaleido"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10405c8d-1576-45ae-859e-bbe834ae0314",
   "metadata": {},
   "source": [
    "## Feature Engineering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "422bc9a9-8496-42ae-a5ba-115435a943c8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read in the confidential dataset from the private folder\n",
    "df = pd.read_csv('private/Nova_Credit_capstone_project_data_vf.csv')\n",
    "\n",
    "# convert date to datetime data type\n",
    "df['date_posted'] = pd.to_datetime(df['date_posted'])\n",
    "\n",
    "# add day of the month\n",
    "df['day_of_month'] = df['date_posted'].dt.day\n",
    "\n",
    "# create a custom field to record the number of months since the start of the dataset\n",
    "start_date = df['date_posted'].min()\n",
    "df['months_since_start'] = (df['date_posted'].dt.year - start_date.year) * 12 + (df['date_posted'].dt.month - start_date.month)\n",
    "\n",
    "# Map day of month to a circle\n",
    "# This allows the 1st and the 31st to be next to each other the transaction space\n",
    "df['xcoord'], df['ycoord'] = map_values_to_circle(df['day_of_month'])\n",
    "\n",
    "# Create a list of each unique applicant's public token\n",
    "applicants = list(df['public_token'].unique())\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a418e080-63a2-4062-ab5f-69bf1efe59e8",
   "metadata": {},
   "source": [
    "## Create a Reproducable Sample of Applicants"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4732a418-7b31-40e3-bb24-3be5a8067c09",
   "metadata": {},
   "source": [
    "Uncomment and run the code below to sample a list of applicants and save the list to a .csv file in the private folder."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "459a5810-a822-4b5c-a4c4-ee6e646475ca",
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   "source": [
    "#applicant_sample = np.random.choice(applicants, 5)\n",
    "#applicant_sample = [i for i in applicant_sample]\n",
    "#\n",
    "#with open('private/applicant_sample.csv', 'w', newline='') as file:\n",
    "#    writer = csv.writer(file)\n",
    "#    for item in applicant_sample:\n",
    "#        writer.writerow([item])"
   ]
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  {
   "cell_type": "markdown",
   "id": "3de27702-37c1-433e-b5b5-a9dc56c0b350",
   "metadata": {},
   "source": [
    "Run the code below to read the saved list of sample applicants from the private folder."
   ]
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   "cell_type": "code",
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   "id": "ac3039e8-9e7a-4fae-8d47-182c25f2fe54",
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   "source": [
    "applicant_sample = []\n",
    "with open('private/applicant_sample.csv', 'r') as file:\n",
    "    reader = csv.reader(file)\n",
    "    for row in reader:\n",
    "        applicant_sample.append(row[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc28f504-a924-4a4c-befd-600ee7f252d9",
   "metadata": {},
   "source": [
    "## Visualizing the Transaction Space in 3D (Figures 1.a and 1.b)"
   ]
  },
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   "cell_type": "markdown",
   "id": "73523b03-292c-469f-9c93-c865c6c3558a",
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   "source": [
    "The code below visualizes the transaction space in 3D. As time moves forward, transactions will spiral around and up the cylnder.\n",
    "\n",
    "The 1st cell block will produce the all transactions (recurring and one-off), with colors representing unique transaction descriptions.\n",
    "\n",
    "The 2nd cell block shows the same transaction set after applying the graph-grouping algorithim. It filteres out one-off transactions and shows colors representing algorithimic groupings of transactions.\n",
    "\n",
    "NOTE: The 2nd cell block must be run AFTER the Normalized Mutual Information section below, since it uses the payment groupings produced by that section."
   ]
  },
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   "source": [
    "# Figure 1.a\n",
    "\n",
    "# Filter the transactions\n",
    "df_filtered_viz = filter_transactions(df=df, \n",
    "                            public_token=applicant_sample, \n",
    "                            min_exp_threshold=200,\n",
    "                            max_exp_threshold=15000,\n",
    "                            min_inc_threshold=200,\n",
    "                            max_inc_threshold=15000,\n",
    "                            start_date = '2047-01-10',\n",
    "                            end_date = '2052-12-10',\n",
    "                            )\n",
    "\n",
    "# \n",
    "str_grp = [str(x) for x in df_filtered_viz['description'].unique()]\n",
    "colors = plotly.colors.qualitative.Plotly*300\n",
    "\n",
    "color_map = dict(zip(str_grp, colors))\n",
    "# Create a list of colors for each point\n",
    "point_colors = [color_map[(str_grp)] for str_grp in df_filtered_viz['description']]\n",
    "\n",
    "\n",
    "date = df_filtered_viz['date_posted'].apply(lambda x: '\\n' + str(x))\n",
    "amt = df_filtered_viz['amount'].apply(lambda x: '\\n' + str(x))\n",
    "\n",
    "# Configure the trace.\n",
    "trace = go.Scatter3d(\n",
    "    x=df_filtered_viz['xcoord'],\n",
    "    y=df_filtered_viz['ycoord'], \n",
    "    z=df_filtered_viz['months_since_start'],#/8,\n",
    "    mode='markers',\n",
    "    #hovertext= df_filtered_viz['group'] + date + amt,\n",
    "    marker={\n",
    "        'size': 7,\n",
    "        'opacity': 0.8,\n",
    "        'color': point_colors\n",
    "    }\n",
    ")\n",
    "\n",
    "# Configure the layout.\n",
    "layout = go.Layout(\n",
    "    margin={'l': 0, 'r': 0, 'b': 0, 't': 0}\n",
    ")\n",
    "\n",
    "data = [trace]\n",
    "\n",
    "plot_figure = go.Figure(data=data, layout=layout)\n",
    "\n",
    "# Render the plot.\n",
    "plotly.offline.iplot(plot_figure)"
   ]
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HPp+olWjyGQWSn5MACZAACZDAAAlQwBggXA5NAiRAAiRAAmEEgoQLPIOLeKkYz+ciinJeERjedBFvxROsI6mAgWd0hZCgVI6o/bk/RyURpOGkLduKtBJEhiw22r6RIfDNGK1aTCtJcijsSwIkQAIkQAI5EaCAkRNIDkMCJEACJEACcQnggo2Ig0arP+Igrc9F2Nww14TfhJ/gEHfNfukifs+mETD0OEjlQApIlmiM8ZGiEi+aPmzj7lWljVS61VSCTD4hlGC9bCRAAiRAAiRAAmtHgALG2rHmTCRAAiRAApucQJhBp64WgooduMBnERu8mCFgzC6kM8wMSxfJW8DAeFmjMSBgLCy2czEH7ZagLSp/Dr8zgVgDIQNRG2wkQAIkQAIkQAKDJ0ABY/CMOQMJkAAJkAAJKHNIVMbAZdjd3GkZc4utFTPMPJFtqZVUOkSSqIQ46SKDEDD0mDoaA0yWmvG9MfKINvHuK8zkE30RrTEyZNHkM8+XlmORAAmQAAmQgA8BChh8LUiABEiABEhggATgc2HbjtgOSnW2e2bSPhfuKh6DWErStIq46SKDFDAwto7GgOgzNd+MVankuLGyTM42YvVNwhppJWPDRbUmGJd6DUfx+fhwScCOjQRIgARIgARIYDAEKGAMhitHJQESIAES2OQEWm1bjsx1fSeQaoBv6fFvtEH4XIThjluZAykTE7Wy+FUXiXucWTwwguYAr9Ghom+ZU+8zeRmWBq1Fm3yi/CuiQ7wRNWBdqxbj4mI/EiABEiABEiCBBAQoYCSAxa4kQAIkQAIkEEXAz+ei66VQUoaQSOdodey+8qNR42b5PErASJsu4remQQgYmAcRDhMjJfW3u8xp9dv39iyjtnuXHBgdzYIr8llt8omKJN4UF23saZqGDJcLTCuJpMkOJEACJEACJBCfAAWM+KzYkwRIgARIgAQCCUC4WGxCmGj19YFAsGOiIu0O0kgG43MRdjSo7KFSHzwpLHgGF25cxPNKY9FiCEQGtCjxJOkrhQgIpHI07tsv5Y9/re9xq2BKfccWmbn0/KRDJ+6vU1zwoBZVkK4Dzw5EaODziVqJJp+JyfIBEiABEiABEvAnQAGDbwYJkAAJkAAJZCQAnwsYdPpVDsEFHgIBLrP7p5YyzpTucT8BI490Eb/VDFrAwJzlvZMy8ZlvihginU6vK6pVMJRQ1Ny1bU1EDKxHp7hABCpaZl/FEpz/aNUSiCtsJEACJEACJEAC6QlQwEjPjk+SAAmQAAlscgL4lj2o5KnX52J8pJS6lGlWzO60jjzTRY6WgDH26TuktHdSpZNgP7YtyiQVDf/WQtLCE3dL/dzdWfHFeh5rqQ0VVTWSI3ONvsop+BwlV3WKSaxB2YkESIAESIAESKCHAAUMvhAkQAIkQAIkkJCAn8+FHgIXaD+fC3dqQcLpMnfXJqKNlp1rukhcAaPRthOVcA3bcPHRSRnfc0dPFzBHNIZjd70y3JEwh159SWZ+cQfA3DARxfxg7WfyWSyYMjZSZFpJXKjsRwIkQAIkQAIuAhQw+DqQAAmQAAmQQEwCUcJFrWpJyeoaOyKtxN2QSmI7IgtLvaVUY06dqRsEjG2jZeVzgRKgfqkumSZwPeyXQpKngAHTzuG7eo07Mb2OxkAchjutZC2jMLB3+HOg2gzOu1q2AiunoCoNojVg9slGAiRAAiRAAiQQjwAFjHic2IsESIAESGCTE4DwML/of/nHZXWobIUadMIHAQaU8MpYq6bFhEqxIK2OI4dnGwOf2itgIPKk3ujkFoERJGBgY6ZhiLlsMwGRBlklaylg4IwrJVMZeqL5mXy6D4BpJQN/HTkBCZAACZDABiNAAWODHSi3QwIkQAIkkC+BMINOr89FWGQDoiDgkbAWIgIIeKuLILXhwPTgTUS1gIFIj62jZXUY8ArxS6dIc1JRAgbGdMRR4gEEjKnn/IY0dm1LM1XiZ7S/hTfKBqIGzh4c5pfaal3uhndjfLgkMCBlIwESIAESIAESCCZAAYNvBwmQAAmQAAn4EEC6CAw64WXgbbgc43LebHdip2Tg23akcRyaGWwUhL4Me9e2c6KyJlVQUN0EbJAuA7EGFVBQmQPMwLPZ7ueZ9AU87n17eh4xF5bEKVpiVIpQL1YMPZGe4VzzApmeb+Yyb9Q6w3xOtMknojSC1lODyWe5wLSSKND8nARIgARIYNMSoICxaY+eGycBEiABEvAjkMXnIoroIEWEqOoiaxGBgYgUeDsgEgU+EGhIr4EHBnwpcMFvtZ3M0RiIwhj55g+lMD3fh9wpWWJXK4K/py85X+wTj8tt3qjzhXlrUFUa/SzSiOCVoqJD5pt90Rg4x4laiSafUbD5OQmQAAmQwKYkQAFjUx47N00CJEACJOBHYG4RJpf9HhX49hwX8yifiyiqx42V1cU+bxNNiAT4Zh/pCV7zUL0mzD2o6A8tnmAu+F0g6kL7QHg9MJBmgT9Tcw3ly5GmoRLJ1g/eKkYr2BB18ZdPkenf/a2V4TEn1pVXFIjfuiESHZxZ6hMl/PpiPXincGZ+xq7dSJqiWIVlU480oPgMCZAACZAACWwwAhQwNtiBcjskQAIkQALJCcTxuYB/AS6aWcQHfEOPC2vTJy0l+apFiRaj1WKsVBakdSB1Icv6/dboFU/imHgizWR8pLTsjZGsKou7jCpSR/DH2zrjIyoCw1tCVZtqggGEDK8XRZoz0M9A5No+lsxnRFctwbOzC60+QUcJZ0NFFcXCRgIkQAIkQAIkIEIBg28BCZAACZDApiXQaHVUpIDfpR6X7IlaMp+LKJAQG5CigiiFLC0qXcRvbAgYswvN1FEP3jG1D8hio91jTBlHwNBjgUe5aCaKSgkz8YQJZtsV1RFUgURHP8zUm7LUzO7Jgf1g3xCo0kS5IK1kVdDpF1aYVpLlt4XPkgAJkAAJbCQCFDA20mlyLyRAAiRAArEIxPW5QMlTRF7k1XBxNg0RpKqkbXHSRfzGzqucKS7TusIJTDq94k8SAQPrxOV9bLhbatUvlcK7F6+Bp/tzpFvgbHULK6EaVeI06fl4S6gmfd6dphRk8omUk5EhiyafSeGyPwmQAAmQwIYhQAFjwxwlN0ICJEACJBBFQEU/LHVLWXpbXj4XYWuArwEuodrgMmq97s+TpIsMSsDQJp1hYkNSAQNr1RU6ipYRGBGj95SXgKHHi/KiiHtGQSVU4z6v+yHyZ3S4qP7pFx0EVohc0fMlHZ/9SYAESIAESOBYJkAB41g+Pa6dBEiABEggNoG18rkIW1D3clpS5UXjtjTpIn5jI3ID0RJp0lfcJp1z9XAfkDQChl5vnGiMvAUMLaBMjJSUkBKUUhR1XohwgbdJGr5+Y0cJK7pcLtJm2EiABEiABEhgsxCggLFZTpr7JAESIIFNTODQ9JKv94O+BDbbHYm6mOeFL0kp1bTpIkEChu1IrDQN9/NJ19BNzVgVaZKmrkRFY4x9+g4p7Z1cWaI28XSKlhSGSrFTSPwYVUqm1Ibip7O4x4D/BSrYpK2s4rcesEB6TbFgBlZPYVpJXr+ZHIcESIAESOBYIEAB41g4Ja6RBEiABEggMQGki8zW2yrUfm6x1VP5wx3VkLfPRdRCUc50crYRWgEja7qI3xpQQhT7juu/oU064QECfnErdmQVMPTag6IxdBWSwtR8XxlVXPg71YrYwxU1jLcKSdTZ4PMoAQV9/qneW/71uVVDkpRQjbMOd584Jp9jwyWBAMNGAiRAAiRAAhuZAAWMjXy63BsJkAAJbEICXoNOXYISF3dcrnGRHyp3RQ2klax1C6sGkle6iN+eIIrgIgzBJqxFmXRG8cpLwNBiwli1KIVCrzfG+Me/KkP/+UDgUhCNcfhlF0vr+G1Ryw38XAsoXQGn65ny45Yj75zpFS/0AO86viw7GuFsUy9mWVhBtEW1bMlswLvbjSgqCsxM2UiABEiABEhgIxKggLERT5V7IgESIIFNSgAXzfpSr0cDLnXdtIC2+hsXUlS78CuduhbYYMDYbNt91U0gtAxSWAEHiDfweAhqcUw6oxjlKWDouRBZMFYtCcqelv/x6yqFxGi2pTA977uczviIzP/Gr0j93N1Ryw39XEdjoNTrnVNNeeuRYMELXhT/vSyCaIxBtqjqKcqMdqgoWrgb5Fo4NgmQAAmQAAmsNQEKGGtNnPORAAmQAAnkTiDMoBORB/AngICxVj4XYRvExdLtRQHRAMLKoH04wiqgJDHpjDq8QQgYmBMX821TM1L4h6+uiE/wv9AeGOhjbxkR27JWlpgmhcRvf4jGeNGhjjiOI64qrStdsTaUx8Vnbxoz5HHFwYoYmBjvzeiyMIeqOt4UH5z3ttFy1HHxcxIgARIgARI4pghQwDimjouLJQESIAEScBNAusjUXNPXONGdjoFnpuYauRospj0JncqBKJBa1ZKSVVBVSQYdEeIVFvT6k5p0Ru3bT8BYWGznwr767Xuldvd/idluixye810K/C+yeGD4DQrPi0/XHUFmhmEY6qzcggHECyWgOCK7iyJvHlubFA4dIYJ3anq+qSJ7dIP3C84CvyOI+jH1IqMOkJ+TAAmQAAmQwDomQAFjHR8Ol0YCJEACJOBPwOtz4e7l9nDQPheohLHU7E/bOBp8UUoVPhi47K6lDwcuu1tq5ZUSrmlNOqOY+QkYeUW+QMAY+eYPA1NH9NrggdGZGEll4um3v5dMrgoD4AghAwKGjsbQ/8aZon1k29oIGHqt2q+j1bFVtRKszV3WFWuGiAFRg40ESIAESIAEjmUCFDCO5dPj2kmABEhgkxGwbUcWGih56u/joNMxvD4X+DlKUUYZWA4ap14fvgw/NDP4qAvvflApAxVQcJHFt/aDiPwYtIAx9s/f6tkWLud+FVLgg3Hw9ZflcqRuAUMPaJpIG+lGY+A8bVtE23uutYCh14RoGph8IqUEhp8HZ5Z62CCtBEIGBA82EiABEiABEjgWCVDAOBZPjWsmARIggU1IIMrnomuOCXGj36ATUQ/jIyUlGhyN5q0uglKq+6eW1nwpEDBsx1EGonHLqSZdpFvAwH/Df+TIXDOXFJnhb/5QRm+723dJXiEDURj7r31x0uX79vcTMHTHQqErZLTaq9VJjpaAgTVpk08IdhCoWp3+qikQN0aGLKaV5PJ2cBASIAESIIG1JEABYy1pcy4SIAESIIHEBBqtjqqc4ecR4RYGphea0mythvp7J9o5UZED073fSCdeTIoH/KqLhJVSTTFF5COaE76dPzC1lIuYEDSpFjBgmor5uuaWjkzNN30jJSIX7+qAFBIIGEarW9bU29wiBnwwDrzxhUmGD+yrPTDQ4eLmV3r63Vp6iqACCRr2ecmQMfBKJFGbQrUZRNnAr6MrVnXTStwN5zQ2XBJUeGEjARIgARIggWOFAAWMY+WkuE4SIAES2GQEkvpcROGBaICLXJjIETVGks+D0lkwBqISEOa/Fmtxm3Tim3ekkPilXCTZW1hfRLscN15ZqfoCo9JOx1EpK/BncBtNJp0TAsbwXfdKYWq+T8ToicAoWdIez88DA+t864GfyVVLH/Rd8vurvy//ZZwiiMZ4x/aSnNDurwqSdK9Z+iMaCWKKLh3sZ/Kpx0dayfhwUSwYebCRAAmQAAmQwDonQAFjnR8Ql0cCJEACm41AmHABFloYWGy0pd7oxI4m8JYvHRRXHe2AEP6g1Im1WIvbpBMVT3ChhYiDahWDqniCfeGbf6QtIH0BDWaSSOvR/41Ui7ReJFrAwFheEUMLGKoCSW1IRX5MvvqSXKqftJful4UDfyf+cR/dN+mGysvkd7ecKk+oFZX/BAQqcD8aDSlKOGedPgLPCwhJaH7RTGA3MlSU4XKBaSVH48A4JwmQAAmQQGwCFDBio2JHEiABEiCBQRPI4nMRtTZ804yLJUSFQTW/dBG/uRDij2+8017kw9bv9dtwixWDSl3RYokWleA34hUw9DogcGD/aXwxio9OyvieO3q2by43z8dYAAAgAElEQVR0vUTMSlHaCIFYbq3jt0npiqcJ1pTF7wPixeLBv1OjospIR1bNOvVcSCDBzGMnv139SPtQBAkGg3r/MC7ECHid+HmsgH2YuIJ1T9RKNPkc5AFxbBIgARIggUwEKGBkwseHSYAESIAE8iAQJlwk8bkIWwsudseNVeTgdP7mmWHpIn5rGpSYgnXgghpk0oloCESt5Jm6okUbXdEkThUSbaqKtSSNUjjufXt8jxmCEKJ3dJu+5Hxpn7BNakNFKReDo2Gi3t/GzO3SnLlddSs7DSk7XQEMlhJLRklaRnlliNLYhVIeu3Dl31GCQdTcaT7X0RaHZ/2Fuq73RVGJLEEpPUg5QVqJiTAWNhIgARIgARJYRwQoYKyjw+BSSIAESGCzEcCFc7beVhdub8MFS5f7hHcFRI6sDaH13m/+i437pTp3uxSbD6wMX689Req11Yto0Lxx0kX8ntXVOfKqiqLXgbn8qrDoNXQrtdi+vJOydUdduCMcvAIG/D5wUfamrUBQgrhQtIxAk1a/NflFYaCfW8CAeIEIDN1wqcelPY1gMvfQtWqY4zqTUpF+UaAhJTlYWJ2rdlI3CkM37HNipKQiI4LMaJOyD+uP3xm0KGEITBApE2TyifXifdHj5blGjkUCJEACJEACaQlQwEhLjs+RAAmQAAmkJjAon4uoBeEyjUusFkzGJv+uR7jwPj+z9felVX6s77Bx00WC1oSqKHmUUk2yDvTtmjumF4O08IBv6XXUhXuPXgEjyncDF2lc8FGlJK7BJ0QM+GGU9k6uTI1KIPUdW6V+7u4e8cItJKQRTJoP/rGM2nO+4oUee0lKcmhZxPAKGLoPqn2MVbvmrVHiQtR7HPa5MohdbMdiqbwvKl3fElTxWWr2V/FBtBCEDJwTGwmQAAmQAAkcbQIUMI72CXB+EiABEthkBPBt/bxPWUdgwKW4GyXQCY0kSIsMFzVcsOE9ESVe6Dkmd/1Zz3RJ00WC1opokCwVQfxMOqO4xP12Pmgc/a19mK9EUgEDc2nPCBh8+pX8DNsXxIzyvkkpPeVXY/mbJI3GqNz/ylDxQq9txqjJrFmTIAED/dxRJ7MLrVwMRr1s0pQLRkrP6HBRDRUUJQKhY2TIYlpJ1C8ZPycBEiABEhgoAQoYA8XLwUmABEiABDSBtfC5iKLdvah1DSa37f1fUd3V5zqdJG26SNAkacu6hpl0Rm0I5pl4PqmppZ4Tf0elQaQRMPS6tcGnu4JG1J7wOaIEsDesLU6Lm74CA8/i/utlzJmLM6wc2PLiHg+MoIfiCEGxJvR0ypqapD07UH7V7x0Bt/HhkqoExEYCJEACJEACR4MABYyjQZ1zkgAJkMAmIoB0ERgK+pXuHITPRRRafEM9+9C/SHXuKytdDbshxrI5o/6hY5TEMbsGjY1f+HMZKlsqOiAPLw6MmcaPwl1CNqkIgTkR4YLLc5LqJ5izWrYEl9o4e88iYGCN+hKexK8izb66PMLTOrSB54mdvVGvlfo8roCBvu5UHAg2cdNnwhbijjCKtWCfTlgX/EJKFgQh/3VBMILJJ3xH2EiABEiABEhgLQlQwFhL2pyLBEiABDYRgaPlcxGFGJEPnYO3iXXkS6qr2ZlTf/yaY5bEKB0n9VP/XPkW+IkwUfMFfY7LJoo8xBEi4pp0Rq0lSaRC2jmzChjuy31cg8+0kSV6riCTTS1goPrIdvtwKN6D5lZxxn87VgSGe6AoM82oM3V/jiozqDCTxeNEjxdnXTWYfJYLTCtJckjsSwIkQAIkkIkABYxM+PgwCZAACZCAl4BtO7LQgIeFfzi/jiIYlM9F1Ikg8qE882VxDv2rFFqTfZEX7ufxbbQtJTlw8vujhk38eVwxIYlJZ9QikEKDSycqsYS1pFEX7rHyEDDcl2hEA0A8CruUZ/X2wHw6fWKmvmpm6S2h6idiwMAT3hcNoyzeMqpR56E/zysaY8d4RQ7OLImDGq85NG3yiQicIPNRnPdErUSTzxx4cwgSIAESIIFoAhQwohmxBwmQAAmQQEwCSDEol0zZf2Sp7wm3d8PUXGMgBoZxlol0g/HFr0pn3+ek0Pb/Vh0XN/cl8PBjrg2sRhJnTr8+bj8Ov8+1SWeeQo9XXPDOmzbqYlACBsbVZUghjM3UW76X8zyqq2AubSaKs0dVFPyNMqqIwCg7zRUvjIJ0pCMFOWhuk4ZRWtl+mIFnnPdEG4w2WnZiM1Nw2j5WkQPT/b97ceYO66O5oE+Q+WjXgNdiWklW2HyeBEiABEgglAAFDL4gJEACJEACmQmgLOnMQkulWHjNKd3CRZ4eEmkXrYUBueeVfakjXuECc9iFmjSGzpSZbS9PO2Xgc/jG3HvhzGLSGbVA7G/baFkOzTT6umoDTXzTHsfrImiuPCMw3HPo9eE98/pFpPETCWPVM9fkP8v41CcCuyN1JEv0hd/AOuomiTcGBAR4esQ1Mo16V/w+R2TOWLUbEYP3xBvpgfcLZ6EjYtLMwWdIgARIgARIIIwABQy+HyRAAiRAAqkJ+Plc4JJTLnYvUm7TSb8LT+qJMz64fbwiXgHDT7zANO3SLjWbt5xqxiWox2Eoun9q9RvzrCadcdbkFU3yjvQYlICBvbnLrbqNSOH9gBQT+D/k1TBX2XhYHv75B2SXPSlDEpx2c3joCVLYeWVeU6txdGlTiIIQbaLSQiAcoC/EhUG2OOkuxYIpYyMwAqXJ5yDPgmOTAAmQwGYkQAFjM54690wCJEACORFote2+b/NXIhxEJM/0h5yWrIbZUiuJ9ZOrxWwdUh4YfpdDVCFB9IWuRDIIAQPRKrMLTbEdkVrVUmubq+drFurl5hYw0nzTH3UOXgHjuDH/iI+occI+Vz4mRVN5eeDSjvPUEUBZxvU+e/jBa1d+NOHMyVZnRhzpvZQfMWoyV/lVGduZf4QOJvfz5vDb49bRUmB6R55M9Fg63UULLH4GtyMVS0aGLJp8DuIAOCYJkAAJbFICFDA26cFz2yRAAiSQF4EDU0sr1Tl0+gNM/xD+nkc1hLzW6R4H39gP7btJ7PmfiW0viWE3V9JJdPlUiBfuNggBA+swDUP5BqxVeg0EjMnZhkr1WWy0Y1VBSXIGWsDA+UOUqRQLcng2f88TfYHGO4b0CcyXZ5WY+vTtsjhzu1Schmxx5lYiMAyxxRRH5mVI9prbVtCM7ni5FCuPTYIqdl+3BwUim7z7RFQEztUdzRN78IwdIYKFmXwyrSQjYD5OAiRAAiTQQ4ACBl8IEiABEiCBTATwzTc8MHBZLVkFdRHHpVyXwMw0eM4P4yKIqhYIcXfqPxP7gQ/0/j9Fu9FXlQRCRr32FKnXLsx1NTpSpWPbKt0mz8t32EIREWEYhhIVBjHn6r4cqTfa6nKLcrEQGvJOb9DpDPiWf9+Rxcg0iyQHCAHDmf6CHO+El0991NgqS0ZZhsYulOp4vu+Id706GsNbEQRiDn7/Ds+GV5dJsv8kfd0CCyKIvB4lGAtVd8aHizT5TAKWfUmABEiABPoIUMDgS0ECJEACJJCJAHwwRAz1bb72udCX2IMDqIiQZrG6HORQ2VqJdID/xOJP3yfF5gNqyLCSqnlWIXGbdOJCj3+7/RzS7C/OM/BUmKiVlZgAE89BiRdayNICCSI9jsw1pDaEy6uxUt0jzprj9oEoA9EMlUP8Ls9xx3H3g4Cxa+qjsR79mblrTQQM9Z6ahiByB00LXxA2cK5zi4P1v4iCARPR0WpJCZoQMv1SsxApUigYUUPxcxIgARIgARLwJUABgy8GCZAACZBAZgJISfAaKOJSibKXeRorplmoNsbEpQqCgb64a/+J6oGbpLJwd1/khZ6rY21VPhgzW38/cylVr0knvpXGxR6X/UE1t+ki5kEECoSmvM8Fe0O0RbPVkdJy2gj2BM56f7jgYr9+lUSy7F+nxeBi32o7iUuQ+s2N6IuJkOoj7mcQhVHaeeXAUkj81ueOxoAfyPyif+RDFq5pnnW/b7P1piw1V41VdanXpVaHlUrSwOUzJEACJEACQgGDLwEJkAAJkEBmAriQetMDcMFaq+gCvw3odBH8rc0e3f1gBNnq2GJM/quMTH+2r6QqUkfy8sHQUReIEnCbTYaVNc18KCI9VWD0t/N5V+zQe8N6kT6ANj5SWhEt3AIGPtMRBLjY5pFS4mWI9w5/puay+W7AwPMX7L2xjgFGnuYp/ztW3zw7Ye8TIyXlAXJoeklaHSfP4TONpdNaMIiOFKmWCyqVBKlmiMZhIwESIAESIIGkBChgJCXG/iRAAiRAAn0E/KqR6JSFtU4j8UsX8TsyXPoQEYBqJHFbGi8MXekjyKTTW0o17lq8/erOfjlsf18W5YD6qGCKgMUW4ywZd351pTvWg4suIlKyNh11Aa+LxUZ3PL8yqn4RJhCQtE9KlnQW73xYg373IJCkFUkgYMDAM8oDA/MhAuOUx7/HVyjLyjjqeZ2uBTkA53C000i869WRIlgbxAtE/tSq3RQYNhIgARIgARJISoACRlJi7E8CJEACJOBLwF2NRHfYPl7J/E14EtxB6SJ+Y+Dih/Kbzo/fGHuKJAKGvlhGlZJFqg1ScPz8AuIuDOLFI/Ztqju8EEzTENt2VHlWtCHZIScWnqH+GwIGBIMsFWK8URduASKugIG16EoiWVJK9FrwLb+76VSGtCKJLqEaJWJoE8/H/MI7VXrOIMxKw94DRDXoKjZIz0E6CSqyrKdoDB0NBdEQwhn+ZiMBEiABEiCBNAQoYKShxmdIgARIgAT6CPilkeBbdlxu034LHhdzVLpI0DgQWOwf/XHcaWJVI3GbdMZJY4CIktWT4iedD6s9IOoCTfmqepoWMfCNOFraM/GLunBPlUTAwHMqSqRWSu1dgW/1cYn3Chh6TRBJkGaBCJgkos3M/r+TduN+Oe5HVdn+4yE1nE56aO0+IAd/aVGmjG6pXV2BJKtoEvtFdHVEShCiGvTesF+k8IQZaaaZJ+szeO8Q8VQuUrzIypLPkwAJkMBmJkABYzOfPvdOAiSwaQk8un9SPvLJ2+Tqqy7PjYFfGgkul2PVoqp6MYgWN10kaG5cnAs/+ZPY0Q9RERhek844e4bIg8oZaVM6kDYyJd9XURdtuyltuyW2tMSRthSke/G2jKr6+wTzItlWOV6leSRNNQiLusgiYOhnccGFEOHnVxLGEc9E7SeNSNJaul+2fPyTMjzpn+6wsK0lD/zmjFra6I6X9xh4atHEW+40zvuQtI82MHVHwbiNNBGNkVdllqRrc/ffOlpi+kgWgHyWBEiABEhAEaCAwReBBEiABDYZgRtv3iMf/sQX5akXnCN/ctXlMjrSvdzm0YLSSHRJzTzm0GMkSRcJmlcZPh68Sez5n/V0MTtz3f8naTdUBRI0GHoGVSIJMumMs98sJTAx70/tDykBZqkzq4QLv2aIJSVjTLYaj5fHlH9NKsVCotKtYD1SsWKlR3gjMHDBPhCznC68KxA9kCQNI46AoZlokSROysrIJ/ZI9eEHxZRgY0yIGEd+9zLf6iPaYBN/axPLOO9Dkj66qkcQ3/USjYF14j1otGxlLMtGAiRAAiRAAmkJUMBIS47PkQAJkMAxRmDPrXfI+27eo1Z9zVWXy4Xnn537DvzSSBDijouLNnnMOmnadBG/eREhMm48LPYDH1gRLArtw75LhIBx8MTr+z6LMumM2i/WAHEAkQdJGuaFl8CdU38rS/aMirgIaxAxHmP+NyVghKVcuMfAxRO+DmAe9xKeRcDA3GrOZZNHlOGN8gaBKOE48T09tPcJ3snZur/gU7nzLhn61l0KRbHVkUJ7tWKGY9ki+CMiTbFk9vmXSvvE4wPRgzW8KQYRjaGNaIPSZzRPzI++RysaA2cELxIIZ4gUYiMBEiABEiCBtAQoYKQlx+dIgARI4Bgj8ObrbpIvf+M78q1/fv/AVh6URoILlF8liiQLyZou4jeX/mb48P4fy/ih90uQeOEYJekUt0mrdIrMbHu5GiquSWfUHhF1MDq8WnY0qr933h+3PiQNZ1V0cVTEgDtqwBD8D9p288lyQvHXY82nDTaTRENoLu4yqkkiMNx719ESUYaUaU1JkboDw0u/lJWJv7lRLaU0V1gWL3qjMCBiLNW6P2udsEvmn39J6LHp0rHoFFcIinoP8HkSjxl9nhBu4AcSJQzFmT9uH6aPxCXFfiRAAiRAAlEEKGBEEeLnJEACJHCMEpidr8ve/ZOy+7ST1A7ge3HF666TSy8+X3bt3CaIyLjre/fKE8/aLe+4+hVy/M5tuex0EGkkeaSLBG0OVUBwSR5/8I99BQwtXujnG2MXSmHHRVKyCrlVWIlbSlVHe7i/SX+gs0fmnPvV8mxBKVO/lAdDTCkoT4wzS69SaRpBglJWI8qsERjuc9LREmEiCiJ88DmMLJO2IJEGAsaqeOE/asdypFnrlo6dev2VsabWJUVn6k1ZaiZfr3cSCAOzC61EFUf0OzSb0xqiNs70kShC/JwESIAESCAJAQoYSWixLwmQAAkcAwQgVMDnAgIF2ksuu2jFrBPGndfdcIv6+SUXn6/EC6SVQLy4+fqrc9ldnmkkeaaLBG0O32JL/WdS2vu3K12s5l6BcGE43bQO/LfywrBqYhqGLDz2nYlNMMPgRpVS1VEXi422SkVwf3t+yL5b9tlfF0dwIQ72a0ANjbJMyG7r5YL5/IxV00ZdeEWHPCIw9JhuQQXREt7IAQgYC4vtRJd493rdXhV6/B1v+3960kaCzq5VsaU9ZMcWMDCOjsbAPqbm+/cT95cwyv8ibJxu1E9RscyyhjhrhWiDPSOVhukjcYixDwmQAAmQQBgBChh8P0iABEhgAxHQURaIunj1FZeoCAsIFrd97F0rERZIJbnyiktW/v3t790rL3vddT19siDxSyNB/j0uMnHTSAaRLhK0J0R3jNa/Kp0Dt6kuhdbkinDR94xZlra1VSZ3/VkWRH3Pbh0ty+xCs+8S7uYQZISKKiSP2l9aFjDcQ0PMWPUbMKQgllTll6xXKkNFt/Gju2pFVsPVPCMw3LtBCU6kInkNOMEOESnuKhxpDkenrMzf+4CM/e1nxXT5XoSNN3vm9sgUEr/nkxiK+j0PsalWxe9UMu8U91g6ImQQ/hx6HqaPpHkb+QwJkAAJkEAQAQoYfDdIgARIYAMRQNTFl+/4rrz37a9Vu0IayUUv+CO57R/fHVht5PY7viuvufY9uQkYmNcvjQRpErg0R+XeDzJdxO+o8W301ubXpX3gtkDxAhd8vW5EYxw4OV8fEb9SqrqCBKIuwkqeIgJjv/2N5fSRoLQEpJBYavtnWq/vETDizhP318QtYCBdoVYtyr4ji5HnHmd8Hb3QajsrBpxR0StxxtV9MP7oXXdL4cvfltJ8vGoZM08/WxYueEKSaVb6uveT1JciS/Ua92IH5c+BOXT6yGKzowRMNhIgARIgARLISoACRlaCfJ4ESIAE1hkBiBYojYpojNde+x55dN8hOffXHqfSRZBO4m6IvkBERp4pJBg/TRqJThfRz2f9Rj3Jsexsf0M6+z/X54HhFi7c481ufZHUaxcmmSK0Ly76tiOysNRW4fb4Zh0eG3GiIbSAAfNO/0okOgrDkKKMyA7zPPmlLU+SgzNLKqIB0TFx5om7We1bYRiGQHyplrE3x9csM+6Y3n4QfFDVAoaY20bLscu0xplvaLkCCTwwoqIwbMsRCBiL5z0xztCBfVQ534qVqErIllpJ5hfb0mxn99LAwgYRjcH0kUyvBR8mARIgARLwIUABg68FCZAACWxQAvfe95DA8+Kp558tECrw3zqVBP/9vg9+WuYWFpUXxp9cdXlghEYaPH5pJIisGCoV+sqFrmW6SNBekIZg/ehVYrTnVroEiRfo0C7tyjWNBCICIiFaHVuJClFRF+59IIVkn/016Ugj8qgKUlGlVM8YP1cJJUnmiRx8uQPEGFxc4bEBEQoCA3wWcOFOWtEkbE7t14E+fn4ecdfr7acFDPy8csTqtxUxu09AvICJ5+KTn5hZwMB4iASCd0jcKiFxI5qScMg7GoPpI0nosy8JkAAJkEAcAhQw4lBiHxIgARLYAASe/KxXyUuf/wzlf4HoDF2BJK/qI15E3jQSCAKP2TIkew8vrnTV6SJ+5pRriRyX7urUZ8TY/08q7D0szaVjbVWGnnn6YJSKpmwZKSkBI2mZza6A8fVlASPYxBMeGCineurQb8npo78uh6aXUhtf+p2NjrzAHgqmueJ3AgFjcrahuI5ViyrSJGm6RNC7oN8pRCLkNSbm2vaX719NIdFVaR1EsjjKVqRd7Zp3oh2JWYEk7vuM6BIIWu5KM95nNes8hRv3HHlEYzB9JO6Jsx8JkAAJkEASAhQwktBiXxIgARI4RgloL4xXv+zSvjSSQW3JL41EfwuPCI2x4aKaGv3WMl3Eb7+4ME4sfk2cR28RsYMjGbR4gTHyEjAg4oxULFXdxG2smeRc7mn/jeqOSiRIJHGHDcD9An/QcKk8qfhUOal6TurSo37r0oaUuHRDoHBXIdEChn5O90XFj6znjv1sqZVladljYWqukVmUsR5+VLZ85HNiLS2HWgQcRHOko7wvsqaP+A2vfUmwLz9hBhU9rIK54gOS5F2J29ddnSVpqVbMgXNGmk+lyOojcZmzHwmQAAmQQDQBChjRjNiDBEiABI5ZAhAukEryFzfcogw9P3XT23JNFQkD45dGonP98RwuZouNzlFni+iLobIlhcNfktaBL4rZmVN/3A3GnXah1i2lutyyChja60KxqLdVadP9U0upePyo/QHpyGpki98guJCazpDywPiF0SfkImC49wAhCpEr3iokXgEDa9PpEvD8QFpJ2qZ9UyCG6DGzpqnUPrFHio/slRUPDG0x4dEz2hVbDr7plWmXHvmcuzKMV5hB6dhmy87ELnIByx1Q/WV8uKT8WcLMZL3jMX0kLmH2IwESIAESSEKAAkYSWuxLAiRAAscQAQgXz3vFW9SK4XPhLp26Vttwp5HodBHTkFjVSAa9Rlx+4X3RbHeUgLCl8Ig4D34g1rT12lMymXiulOxcaq+IOFnKgf6k82FpOjO+Jp46JcYQS0rGmGw1Hi+nDJ+jIhXwDX/ahvOEQWe9sboHjBVHwEC/NCkl++1vygH7m31L/oXCC2XEOEmNCQ8Rq2Ao342oijfegRB9MfrJz4jZMlQEhtlEPtFqKVrV33RU+gj+zF72HGmfeHxahLGe86sSgzK4SMvJGsESawHLZ6UNX8NSW/R4On0Efh54T9hIgARIgARIIC8CFDDyIslxSIAESGAdEoCIsfu0k47ayvCtPC7JSB3BZQv/RnoBoi/wDfLRaO4qH+7LGL7Vth75f0XqPw9dVqt0isxse3mqpbt9IiCauC+gqqrEUjsVFwgYaG2n3hOJocWLggyJZVRVHy1gYO400Q9KeFhO//HuQQsTSOtAZRM0vwgMNzyIOfiWP8r7477OP8iC83Agdy1ioIMWiPC+JanSAQPP4W/c3V9CVWflLEdhIH3ELjrSPv9cmX1iuhKqSV4gLcyUi+AEQ9R8K6/EXUtUaoseh+kjcYmyHwmQAAmQQFICFDCSEmN/EiABEiCB2ARs21kxbdTpIvhGtnsRa8UeJ6+ObtNQbzg8PisWTDEe+oAUmw/4TplFvNCpKkGpM/g8ragAI8/DzvdX1myabWnZTSlIV7TQbUh2yImFZwg8FCCmJEkJwBi68kdUmgaiSeIKGBg3KqUkKPLCe0g7zN+QneZvqB9rsShqrT187rxLJr7wH7FeNyViPO1JUnjKebmWiA2bXAsI7Y7dV80n1qJz6ORObQmKxmD6SA6gOQQJkAAJkIAvAQoYfDFIgARIgAQGSsBb7UKnbhycTuf3kGaxOuoCAkWQeSQu0aPDJXXxLjbul2LzfqnOfUVNB+GiVX5sqrQRb6pKUNh/WlFB83i480VpmgeUGSjSQ/zaCeZFUjV2qioX2G8SAQMCC56LY76ZVMDAWrVpZLvj9BlXfr/9l7GP/fHWG1f66ss2zCSjIjzwEKIvxv71u7HmggfG3FPOkc4FT1IRKUmEklgTBHRClRKUI27bySvWZJnX+2xQNAbTR/KkzLFIgARIgAS8BChg8J0gARIgARIYKAG/aiS44K5VGklU5IN78zsnKqmNNP0g6rnj+AaglCqqkUAgSNq0SHLPzOdkpr0vVLzAh5gLgkmcKBg9NkrdxhU80ggYetHeKiVxoy/08+5UEv0zpKiMVUvKFyMspWTL39wolSkrNv69b/sD1bdbDaWkPDfSeG/EnhApQKMlQVWQQsFQe0LaEQw2j0bzi8Zg+sjROAnOSQIkQAKbhwAFjM1z1twpCZAACRwVAkHVSPS34oNaVNzIB/f8eQkreu6gMph+e/aaX8blokUSRI7o6A6klOg2ZOxQURfuFlfA8Bs7zrqyCBgY351S8vPFr/sadwatw51G4u7T5VuUVrs/wkP3g4ABA8/SfLTxJFJIJt/4qp5lpPXeiMNUCyXbxyor5Xb1nvBZnAiTuPMk7eeOxsDvdccWJZCxkQAJkAAJkEDeBChg5E2U45EACZAACfQRcFcjwYeDTCNxm3TO1rsmonEbLuy2I6m/0XZ/I+0WFOLOnyQCJE1khF5HlFiSZWzMkVXA0Jf1iZGSPLD0dbl/8etxEUqQgKEHCEuFgYCBZi2aYtVNVwUSRwTFSJZNPG3LkWatI0def2XfurT3BipwIMooaSWUsI1CKKhVLTk82xulA+EE0TtHMxoD60Z6y8iQJUgDQiUYNhIgARIgARLImwAFjLyJcjwSIAESIIE+An5pJMeNlVVFhSC/hjQYw0w644wHjwd8c5wmjSPr3FgfmKA8ZtSlV0dGTM01UvELEzDyiCLIQ8DQ59UwH5F7m7fEOT7Vx+2BEfRQkBkpqpDAA8Nso3yqiNjeS7gjzbFuBYqzwCsAACAASURBVJLWCbtk7vmXBK4Ll3m8T2nPyG9gnA3KEPul8qyHaAy8l4juKRcZfRH7hWVHEiABEiCBRAQoYCTCxc4kQAIksDkIfPt796ryq6MjvVUs0u7eL40EFzw0RElkbXFMOsPmeOBBQx58yJCv32EqP4OTTnTk5JMc+c0Loku9uiM+0kRduNcVlcKSJjUlaN8QSw7NdEudoul94L/9yqMmOSMtYGBMlFE9kNGw9Z729WJLtDfIsHGinFb4vVhL1aahqJQzU+9GSox8Yo+M3nMw9HkdfTF72XOkfeLxoX3jVm2JtWDp+mzML7ZDfTx0NMZMvSlLzej3N+7ccfrBn4PpI3FIsQ8JkAAJkEBaAhQw0pLjcyRAAiSwAQnce99D8ppr3yN7909KbXhIXv2yS+Ull12Uy069aSTa58B9iU4zURKTTr/xIV585JbVb4xxsXVHQLzk8o6ccrJ/VY88oi7ca4KoA5NJv7SXJIagcTjuGF/1UsA+qmVL6o226HK3ccYI6gMBo9nqyFDZktmMF+m6s18e7HxemnIkckknmM+QrebjI/u5O+iIE0QDjbzrfcoDozy/nCvSN1I3ImP66WdL/YInxJoH79NYtahMN+FT8Yn5XlHhudX4qRZIMYIYFBWho6Mx1sJUVEPAnBDF2rajyu2ykQAJkAAJkMAgCFDAGARVjkkCJEACxyCB2fm6XPSCP5KXPv8Z8uLLLpLP3HqHXHfDLXL1VZfnImL4pZFsH6+osqVBpUXDMKYx6fSO5xUvgubzihg6WgF/52me6JcikGfUhXt/EDCQrgJPBbSsURfui+yOiYryQUh7tu51ojzsgvOINGVaHAnyMzGkJBNSMEpyRuGliX/7IKbV7vqOOF/7lhSdlkohMefLvuM0RmyVQjLl438RNvGDZkH+9HBbveteAeJNY4Y8rhguZGhvjSSCH94n/IlTBScxNM8DENhQwnd4KH4Vl6xz8nkSIAESIIHNR4ACxuY7c+6YBEiABHwJIG3kZa+7Tv7zqzevfH7jzXvkfTfvkds+9i45fue2TOSC0khwoUtSBhIXOVzK4C+Q1KTTu4E/+3P/yxYumPjmXDekk7z0Rd3LM6IVYJhYb3QSrTsOPG91kLyjLtxrwLflaHnuQ0ek4DxRujSPCICfdD4sDefwytL9RAxDCmKIJSVjLJWAgcErd94lo3f+m5jK/GK5tU0x2t1oAseyRSwksljiGGYiAePHLUfeOdMdt4BgH0dUqoW7RYkY8GaxCmbilCsd6TQIU1H3+pE+gvPG7yUbCZAACZAACQyKAAWMQZHluCRAAiSwzglAsECqyIXnn628LpA+8rxXvEU+eP3Vcu5Zu1dW//QXvkH9+x1XvyLzjrxpJLiwI7w+7rfKeaZsfO0bpvK80K3T6U0dwc8hYphm9+8/fXNHleGE4JJXtIIXKC6bo8Ml9Y25SsNodwYyF4SRGrhPL6UyAfWuW6VJDBelZBV6oi60kWWWSIwftT8gHVn0ffe86T5FGZXd1stTvacjd35L8CdOaxilFQHjo3P/JT9oHJZ7mqsiy4tqZ8iLa7+4MtRLJnvVChhxmibKjfZGY3xkW3DqBd69ZstWglOaps9iENEY2uuk4zB9JM3Z8BkSIAESIIH4BChgxGfFniRAAiSwIQg8un9SEFmx59Y71H527dwmN19/tYqw8BMr0O/N192USxRG2jSSPI0y9SG6BQw/8cJ92PjW/MY3WtI+4CifCLTWhC2tCX9vjCwvyq6tQyr9AiU48/Cj6NmHaShhZLHRllKxoISSNOk7QWP6VcdAJMZYtaT2k+by/cP2e8WRLnNv8woYNeOxckohuDJI2LkUb32nbP1RPNPathRk8g9fI2+c/Lce4cI9/pmlrfKX235d/qnuyKfrjkwipcYTdTFsimw1DRlajva5tGpIkCeGTvnJcl7wphgfKSmPlTxLvDJ9JMtvPJ8lARIgARJIQoACRhJa7EsCJEACxzgB+FwgygJihY6oeN7L/5e885r/oSIxbr/ju8rEE59dcvH5K7v95d+6Qt779teqPlmaXxoJvllGeHvQZR2XI4Slzy/lYzDpFTCixAv0f8nOgpxzvEip1Lv75oQtM+dkr6KCUbXXhVUwxBupkoW5flano+hoCHCHoIBv9dO2uCkubh+PpFVn7m3/nbRkNnKJEDN2mOfJccaTI/v6dZh76Fo5/ZPx0qTmz3uyXHm6HShe6PEhYuyTJ8tDbUcWQ7Suk4uGVJYf8ovCwN62j62arqba4PJDGKs21C3xmlc0BtNHspwInyUBEiABEkhCgAJGElrsSwIkQALHOAFEX7z22veoNBGkjWjjzve+43/KE5fTRhBtgfQSHZWBZy564RvUv3WfLBj80khwocLF2t3yMOkMWyciMPAHAkZQO7liyH8bNwV/D1UcmZjo75mHiKErYUCkQTWQ2YVmLqkdWK3miKgLd4QEUgqWWukEDG0o2erYsVNcvNU44kYSwAOj6cwERmHoEzHFktNHLpRt5lmJfSIwBgSM4782JtVDRTkiIz0HvUXme/79uRfvkre0h9TPDneW1N9H7IZsMbu+IlsLWo4Q2WufLuXC6ZG/MqeUDMGIH9ran0YCsQGRLDCMzavlFY2BcSZGSsL0kbxOhuOQAAmQAAmEEaCAwfeDBEiABDYZAYgWWryAWIGoC5RM3X36yStRGVe87jpF5annny1fvuO7KmIDAkYeLSqNxP0N8SDSKNx7eOs7LLFDAhAQeQHxAmuyLJHjtvl/jZ5WxNDlLt2+GnlERug9amEEzFGe1d0QPYF5k6Z1ZDUxTVoZA1VIFuVAqIihDTy3Go+Xx448QYpW8uowEDD+xfg1OeNrQ3LGobm+V32Xc1iGpCmP/OaMfHjHdvmQ7JRHOwuBvxLHF4alalry45bI9tIzV6xB8QZpf1h33RFUUz2lbMhnT6rI1Hyzp1IJxKakZrdxflfdv2tTc41UohnTR+KQZh8SIAESIIG8CFDAyIskxyEBEiCBY5AAyqQiVWRuvi5vuu6mFbNOiBwf/eRtytgTaSPudJKs2wxLI8HYiMbwRgtknTPo+W/eachtX/KvmgDhAgIGGjwwYOYZJGCgz6Gn9UaQRK3ZHXXhTp/BhdB2JFOFE+0ZgjUEGY5ifseJL2Dk6UOiv/1HtZKoCjSH7e/LYef7CqfttMSW7h+U7ETUhThFMY2i+vwE8yKpGjtFRwVACPAKN0Hn8s7JffKTRtcs9PSDs3L6oTl51n/uVf/+yXE1+en2mpy2+wdyhuyXf6ieJ3+xcCTqiKViDMuCY8nW0jMD+0LE0ELG1WOmvGRLUVBxxC06IUVjdqGVSmCIXKSI4gVvjDS/d/DmQCQOq4/EIc0+JEACJEACWQlQwMhKkM+TAAmQwAYhAGNPRFt86qa3DXxH3jQSXNjwLTMu7lkqViRd+N3fMeSb3zLlyBH3d+HdUZA6gj9avMDPwgSMhVPbUj81ukKEX9SFe924COJCmdQrQo+BCAmkocBsNMwEFMyxFj/jTS9HVEeZqHXNP+P0j3MOKxw6jszUWz0RB97ndRSG++eo5IGGdwYN0RdbzcevdNHjt9pOJMsfNZbkHZMHpKjqnZRk0Vg1OxlymiryQrcbra/IG0unya2zD0dusyMFcWREtoUIGBhEixjffkxXMNO8YbYJgWfbaFkOTHdTVQbVdIpP0TLlyFw8c1emjwzqNDguCZAACZBAEAEKGHw3SIAESIAEFAGdNpJXqkgYVncaiY5EwIUTlzQn/8IegUuBgPEf3ytIsylSX3Jkbm5VyPitLaZcMGaulFKNisCII2AERV24F4jSsiMVS10ikzQdIYHIBPCN8piAUIKLcpQgEdeoM8la3X3jllr1ihgFs1v2FgKGV7zwjh+VUvJnkwflx82GHJQxaSxHc7jHqDgNOd45IrYY8tiyI19Y/I7yvIhqbUfEkWHZXv6dlRSSoGcgmfzbsoCBPu70jo5ty+HZZO9D1NqCPtdVY+DHEhUdw/SRtJT5HAmQAAmQQFoCFDDSkuNzJEACJLABCCBFBH8+8snblKGnNu4c9NaQRoILOkp6NtsdleYwNlyUxWYn99KhQXtBpALSVd7+7rbYtiPNlsjMzKqAcf5oV8DQrVJxZOuQIWZjtY9TcMSxROyyI2ECRlTUhXuNuLjiG/dDM9EXZP0cvgkHP/hZRF06V54pmipVIcgYctAmqu49Yx04i5l6U5aawaYkdWe/LDoHVErJlvIuKXa2S9HertJGwhou5Wp8Hy8QPHf53ocDxQv3uMc5M7IottTtf1/xv/CWcnX3bzgiI4VfkZp1phIwgrQ5vFGWiNzpEjD0OBB4wAdCU9yzzfr7iz1tqXWjUPB+BIlhSB+BESyEOTYSIAESIAESWAsCFDDWgjLnIAESIIF1SgAlVSFcnHvWbrnyikuUWedaNVyKkCah0xwgKAyVCokjD5Ku1+vl8PAjjnxyT6FHvNBjXnNi92JWMkS2Frtmnkgp8TYIGfuf4x/ir00vk5SBxcUwbsqAtzxqXB6I9AgSMLDm0aGiKl27VpfmpKVWYXYa5O/hx0BXTkFahjfq5Gl7Z30jL7zjlJ2WFFVFku/II+15mbfbYouj3gtEg5hiSAH/WG5tpyDD1q/JsKcKiRYy3IlLTyiJ3Li1/+WCkIB0IKQFYegwQSHu2cftB2EC0UB+7wFEs1oVazJUyhMbCZAACZAACawFAQoYa0GZc5AACZDAOiWgK5IcjeV5q5HgcoaL+/6pweX666gLr5fDJz9tyo/v7b+EIQIDf3YWV6+aEDBcd1SFDhEYSzs7MnPOapnLOEaaQdyPGyvL5GwjNJ0mqDxq3LPsRoWUesrX5mnUGXcd7n7gipKccS7qiN6Zno/n1eCeAxEN3pSSC/Z1zTvjtJozK458W+5vzcqc01/WFCJG2SjIkFGQlozIeOF0sc3oMqow8HwuSpF42s6JrpgFgUQLClGRKnH2EbePjh5Cf7d4AuEMn1UZfREXJfuRAAmQAAnkQIACRg4QOQQJkAAJkEByAn7VSLrfNncE35Ln2fTFvFjwNyj8wN92v/leqPfOOlYz5PmVgpzm+oa5YIgYpogBf4Pl+2Z7rJv2MH1OU1oTjsQ10gzaIzjgW+9myz+dIm3UhXu+bppAeUXAyFKJIs+zwli61GpYac84Ik/QutwpJf8wNSX/31xbZo1qrG28bMSSvzryCZlfFi+c5cQQb1TFqdaoHLSL8qTCs2SxJfJA2T+BZAgpQ6bIi0b6BQwdNeJOJ9I/a7RsQZnhtfKM8UZjQGxstG0VxcNGAiRAAiRAAmtFgALGWpHmPCRAAiRAAn0EvNVIcPEvF81AX4Y0CHUKR5g/hBYwvOObpiF/MGwJvhgfMZAe0O2hIzCUgLH8s07VlsXdHSn8SvcHSdIbvPMiSgDlP71CTtI0iyheOlVl0EadUevw+zyq1GqSNBu/8bUQ8KFDR+Sjk0fkYWObMunUf8xlYcKSVREJKSTTnXvkSOfnqpirFi/0+MZKQVSRYcOSFyz8tjxUmViZ/qDlyILpyLC9GmmxZVk3edOYIY9zRfrgIYgDVsG/Io02P0UUStxSsWnOwf2MjsaAUaztIHWG6SNZmfJ5EiABEiCBZAQoYCTjxd4kQAIkQAI5EvCmkegL+sEcSkYmMc4MEjAgVPzfI0Upisj4ct1OVCPBH7/WeYItc6eHly+Ngw/fdmM6t1eDrmASZEQZZ1xvH4gAiAvQRqpRlUvSzJHlmaBoA7/IhDTz4Hw/szAnH5uelv0yLvPGkO8wRWkLBA2YeN7buV+WOvdJUzq+ppxdTcuQghjy11PPks+NbQldGtKPnjNh+KaPQKRod2wVleTXokSeNEziPIMIIcwNgY+NBEiABEiABNaSAAWMtaTNuUiABEhggxB4dP+k2klW00+/NBJ4GyA0Pih9Ig5CRBSgTGhc48zPft6Uvfv6L2P4yStHizKqjDy7n4cJGI2dHTny69nLXboNNnFZR4URfOOdJarDy02nBGBbh2cb0uqsYf3aOIfo6oOLPCJzULkGbPI2GNUmnoi+6EoVvQoV4jK2OXPSlIb8rPllFX2BhggMP2pFMaXomPKmQ2fLf589S954cm9FGRW5szzFmYum/OEv+7OHwAQvlDBhCec3Vi1KoWCsmcEnfDmWWkwfSfgaszsJkAAJkEAOBChg5ACRQ5AACZDAZiJw48175H0375Grr7pcXnLZRZm3nmcaSdrSn3d/x5C7v+sfVvHa0aKMuVw7LU/FSHcZTXybfuTXG8oHI0srFgwZHV6tPoEqFLpaS5Zx8azXqBP/hnEmRKOgb/qzzpnH8xBcIEyhwRMir2iRT83NKA+MaWNYpY90pOvpANECUoY7hUTad8kDnftXxAvvvtwpJCXHlGv3niNv3neO/GC4Ix/d2ZIfjKymo5y5YMqvdEy5fMpa8U5xj4f3avtY/Go0uhTtoCvHsPpIHm8zxyABEiABEkhLgAJGWnJ8jgRIgAQ2GYG7vnevvOm6m9Sub77+6szRFxpfXmkk2scBF/E0l/2gKIzfrBTkvy0bFfpVIHG/BvDBmD+jLfVTs5mQQlTYMVGRRquT67fqQUadWSuaDPpXwS1MlayCeKvIZJn/8r0Py5IU5VFjS1/khR4XKSRDTlMWO9+Thzr3K/eLoIYqJGjm/9/lT/c+UQkYQc22HOmMOLJwav87gwgimI2i8kfcptOmYOw5Nd8ciMFnt4qLqSJi2EiABEiABEhgrQlQwFhr4pyPBEiABI5BAii3et6zr5RLLj5f3nH1K3LdQdY0krRRF36b8BMxnlA25WmVglQKxop5p7qiogqJaxC74qhyqn6X0STAtMgAe4E8S8pqgSeoske3KklJOh1HZuprV90iio0ufbuw1Bb80evEc0gpyVqF47l798shY0wtA+kjOgLDva6CdOQxzpQckb3y0+YPopasJAxEY3TuemVwX13BZsRf9IJQgCgT7Dlp01VcBmHwifSRxWZHVYphIwESIAESIIG1JkABY62Jcz4SIAESOEYJXHfDLfLlO76roi8QjbHn1jvk0X2H5NLfvkCuvOKSTLvyppHgcgRhYrYe/u2zvpSjX16lV/fulR4/jBNLBXn8IUtkTsToGGL4VDZVQoYpggiMqSd1S6mmabqyBDwpxkdKMrvQzOxNkVTgcftN5JWmkYYFngkrFxslyMSd84J9i7G6ogLJ/s4PZa5zn7RdlUmCHt7VHJZHv//S8LENkU7FkQPPXurrt3UU599Kff5IQ5qoldXvRV7lVnX6SME0xdIleWLRYycSIAESIAESyIcABYx8OHIUEiABEthQBCBOQKSASeeLL7tIRkeqgiiM573iLWqfe/dPqmiM2khVPvLJ2zL7YSRNI3GXE83rchZ0gPjGf+ftqE6BuHxD/WXo6Avt++ny/5x8ylJiAcMvhQNCwlKrk8nMVFcuiWtmqhnob/CDojUG/bLrKiOtji14N4KiLHChhn9HWt+HPXMz8u75UuztHG5/T5r2z6ThdMLTSBxDzlgakx//8PciBYzmro5M+hi/Zi0Ti4nx7taGVg1QswpSeCchXCC9hY0ESIAESIAEjgYBChhHgzrnJAESIIF1SgAixV/ccIt8e1m8uPenD8pTLzhnJW0EwgYMPN0eGG++7ia5976H5FM3vS31rvzSSI4bKwtC4N3VMfSFDBcoRClkvZBFLVgbXlZnLbFvdcRYcikVPkEWnWFbHEvk0NN6q06EzRMUZaBD9NOkEOh1Fwvdyh1pOGlxYK3NPeH7MFotxfa5CCq1GnW2+BwCxo3zhiyqQrndhjSSHuPOlZ8b0ux8TWY6h9RPWo7tG4lhiSkl25Q37T071P8CY6AaifFEkfnHtXuijXSkw+HZ7BVtMA+YjlXTCz2aDdNH4rxV7EMCJEACJDBIAhQwBkmXY5MACZDAMUbAnSaC6AsIFhAoIE7sPu0k390gAuN9H/y0fOuf359pt940Enzbi6bTSLQXQp4GjmELds+HEpXFr5piPbRsXGjD46C34TLqwJRx2PGtKuGdKyqKBCINLrJRaTTecZMKAGEM1trcMyxlJGydaSMNIGB8bH5RHpQJX+8LVCIpSdeQteN0ZGvhq/LjpWl51Z0Pqp+96lsPyfuf3P29eP95J3eXiAgdW+RvHvoN+YNDvxT+O2GIzP9KW+RskaK1WgYV4hU8UOYWk/tfBE2oDT7xOYxBk4paTB/J9H/e+DAJkAAJkEBOBChg5ASSw5AACZDARiAAwQLCxRPP2q22o807P3j91XLu8s/c+3x0/6Rc8brr5NKLz8/sg+FNI0EOP3wgEEFQq1qC6hNrGXXhng9ixugXiiKLIuaiu1jmspFn17Wxe38tODJ7Ziu0Ekmc1A5dShV7jtvSCgBh46+Fuae7egbeg6SXa71+cB2pWKoCR7PtY1bi2aiOwFiQkrTE35QSIsaYLEnZmZdffOg2edvH7gzE9fuXnSl3Hz8uJy+NyOsPPD6WgLH3sq4Hh46SmKk3pVq2ZH6xHWsPcd8NLyPMs9SMZqSfY/pIUtLsTwIkQAIkMAgCFDAGQZVjkgAJkMAGIQCB4qIXvkFu+9i7esqmIuoChp7wycirMolfGglC1m1HYqcTZMUeFOUBMWHbl8rizHaNPKPa3ONaKi3A2/RFHRf0uXo79KIO4WDbaFkOzUQLGG6jzjDPiKh1h30+KHPPoNKuadeqzSvjROq4PTCaUhAbTqyuhpNGBZKaNOS3HvqBvO4fPhK5rD95zrny4I6dctd/XtYXpeN9uF2z5eDFq+er349ysSDeiKTIiRN0SJN2g9/FRssW/I6wkQAJkAAJkMDRIkAB42iR57wkQAIkcAwQQETGde/9+770kNvv+K7yyXjJZRf1CBtZt6QvbSveE2VLmTim8YFIshY9X1iUx2P+dUhVIonTUE71wLN6K0vg4odv1uuNtiw2umkJUQ2XxqhSqtpwE14VcceNmjfo87zNPfOqJOJdr44agfknojGCTEBftu9hOSJV2SfdMqp947hSSG645W/k9IcflEpnViy7IUVn1Z9isVCTpcKoevxHj9kq+877H/IHk78kyD4JkrscUwSld73vCd7FHRMVaXecgUYcuf1kosxadfoIPFVM5LawkQAJkAAJkMBRIkAB4yiB57QkQAIkcCwQgCfG3HxdmXgiGgMGn4i4uPD8sweyfIgVtuOoNIB6oyOoQoEqCknSKJIuLK63xvZ/L0vh0d5v6IPmQjlV/c26Fkfwd1Lvga2jXSNTv5SKPIw6k7JCf1xmt9RKyp8hrbCEtY8NF1WVjKRMkqw5SiB54b798qiMiS1GaArJU/b+h/zxxz8o2+cPieX4R8S0jJLMF49Ty9v1q9fI0PjjukuF2avX8HX5NfKL1KmWC2IVTFX+FIzwe5CWcxxWOgIGcwTNw/SROCTZhwRIgARIYC0IUMBYC8qcgwRIgASOUQJPf8EfyUuf/wwlYqD6yKuvuCSz10UYCtt2VOlQd3rF9vHKQL6JxuUZF8S43hq1n1oycs9qtYqgfcADA0aeqESS1VATQgFKhDZbvV4FcUWXQb12Wcw9k6R45LH+sAocF+zr+k+g8gjSRyBkOCpmovu/LemoiiTPu/uL8povf0SqzfB0HogY9eJ2GTv1EtlywqWhyw/ySoFY0O7YSrhwe4OERZJk5YTfBZSjDRKUmD6SlTCfJwESIAESyIsABYy8SHIcEiABEthgBFAa9XmveIvUhodUKdUrr7gk13SRIFze3P/xkaLKvc8zPSKN78LI/ZbU7rNE5oJD6LV4gb01fseWrOVeEUGA6AtcZnXDBTfruHm8qnHTNNxz6YgIRJXEMdnMY50Yw13xRVd10f4X8L5wPN4Xel5dheRFd35GXvPlj4ppQ+boT//B847R9YZAKkn5cS+R8VMvkULdP2JHvycLp7b7zF53jFdk0lMiWKfuDJqbNkGFaKajMZg+ktdbyHFIgARIgATyIEABIw+KHIMESIAENiABpIyghCpSRvBnrZrX86JUNHNLI3Hn/SetaIJnd95ekU7D8b2YusULq2DI/DPbmctgIp0Al2+ka0SVXV2r8/HOE0dQOVrpLu61qoibalGKlqkq23xqZlr+fH4oULxwixjX/dNfyTP+85tScIK9SxCz4RjLlUzOvEpGT3+OGO2u6av+G94oaPpvROl417h9rCIHpnv9U9BHR66EpXrk8Q6sGM12HJmpt9TvHt5niGZsJEACJEACJHC0CVDAONonwPlJgARIgAR6CPhVI8kjjSRN1IX3aLb/oCLOwVVDA7NhqLKpzvK9FQaH8Dg8fFZTmhPxS1QGvQIQb+AHAiZDZUvWwqgzzesYZu6ZJd0kzVqintFrffe+Bblxui0dib6Yf/Z9fyCnHN6rEkz6DS1WI3J0JMb4874kpinS6Th99hd6fdPnNKU10WuOgXe0WikoXxC/pkWYQiG5n0oUF+/nWpjC+8zqI0npsT8JkAAJkMCgCFDAGBRZjksCJEACJJCaQJ5pJFmiLrwbQDpL8ZumyKH+reFbalS7WBrryPQ5/hfQpEDwrftx44OvSJF0XX79/SIEtFgwW2/KUjO7oJPHOjEG1vrMRyZVBZKwFBI93x1/9QIZXayLKf2lcdGn65jRFTJmi7uk+tabZeI7JYHQYNuijGndzU+8wOcQDZAyFGXaqVM94IsxyFQczAOfGDYSIAESIAESWC8EKGCsl5PgOkiABEiABFYIeNNIEL6OdAqE/idpeURduOeDeSZKSRrfEClNdf0NTMNQ37bDgHTusf2eBknW650L4fuoRoH9Dzp1IO063c+501zAJK5Bah5zJx1DVyDBc0EihvbAuP0vL5expfnQKVQKiRRk0ZoQ4723qL7VnxdkeM6SwmFDCVuIymmpP96yJN2ht46WZHahJa2O/+de1jB5eeKTSwAAIABJREFURXSE9vVIyiCqPwQVpNyUi/Gq70SNx89JgARIgARIICsBChhZCfJ5EiABEiABReDGm/fIl+/4rtRGqqpayRPP2p2ajF8aCSohwBvA82V24BzaMDKp10XYovHN/ehwSVVFwWV9y1JJWvttmTul7VvqNA0Av4iR9ZaGEcUIUSMQdJKcVxpWWZ552b6HVQnVRVmNMEA1Et1M5Y7RFRLuftvvLMdXhM/YkaK0n/1i6Tzr8p6OYSk2uuP8IyLmVEnu+8qqz8bw8Y7seJItIyf4z6vfFQgMEPf8yu1mYcTqI1no8VkSIAESIIFBEKCAMQiqHJMESIAENhmBK153ncD0E8IFRIzb7/iuvPftr5ULzz87NQlvGgm+bUY1DkQkhLVBm13iUgdzw2rZknqjnWt1lLC147K6bbSs/DCmF/JJUUl9OAEP4qKOSBlUsbBMQ/l25Ckg5bleCBhoXhHDO8erv/H38rKvfHwlUSRsDZA8Zp/zGile/Oy+bogGQjoG3mFvigjEi/v/qSBmwVC+Gd526nM7gSIG+oaVik3LjNVH0pLjcyRAAiRAAoMkQAFjkHQ5NgmQAAlsAgIQLi564RvkUze9TXafdpLaMaqXfPt798rN11+duvSqN40E6Rv4pjnI4BDzDrpMpxYYOrat1pHnN9567VFGnePDReWtgG/c40ajDPo1DPIZgaCBfWGtg/RqSLM/lFH9zPxsoIgxJC3ZInX5vW98Wl74lU8vT9F1u/BrXdnBkPk/ukEKp53h20eXnoVIAREM5wfx4ucQL/Ch0U1F8mtRIoauHtJqO8rsNeu7Ab8XrInVR9K8XXyGBEiABEhgUAQoYAyKLMclARIggU1C4N77HpLnveItPQIGRA1EZZx71m55x9WvSEXCm0aC+92O8Yrsn+ovMTnoqAtsAAIKPCnQ8vSj0BdPjBtXFIEogIvlINIGkh6Wm72fF8Nalf9Mum70v+7wQfmvZkMM5V/hLxxc+vXPy/O/+lll4OknXqw+hTEMWXr/FyOXosWqqbmG3PtxQxYeNVRKUqsh0ml2RywO9w/zq68Njz7CE7p6CMaO46Xht1j8rqGca6tjU8CIPE12IAESIAESWEsCFDDWkjbnIgESIIFjnACEiY988jbZu39SeVy85LKL1I6e/sI39IkVe269Q0Vi3Paxd6WOwvCmkWwdLSvxwJ1GMuioC290AUwN0xiK+h29FkUWG22ZW/SvcBH0ygzC4yPp64n1jw4VZXaxFZpKEyVyJJ03r/6IEHnHwQPy/YV635AQNXaXy3LNnf8qxc9/SGDoGRV90RFLmu//l1jL0yklX3l7R1oNR5oz3So27mYWHSVkFErdn8IPY8eTog0+tXltWqFNrw3nhtLAbCRAAiRAAiSwXghQwFgvJ8F1kAAJkMA6J4BIi9dc+x4ZHakqQQJeF4iuuOTi80WLFfrfeisQNi69+Hy58opLUu0uLI1kLaIu/MwztRfFoZlGqj3hobxKu0JIwTfu8JlI+2172k3ob/rjelxgz2PV9ZP+4haAPjUzLfc2GyoaA+05I6NyZnVIzts6Kgf/7C0y9KOvLmMKTiGBeNE54yxpv/7PYyPF+/Xvby1Iu9F9J4LSPsrjjhIx4goY+h2Dbwxa0nQjpI8gnwXvFxsJkAAJkAAJrCcCFDDW02lwLSRAAiSwTgnMztdVmshTzz9brr6qW2EB0RUQNeB9of/t9b3Qz6QVMLxpJG5BAQaRUX4RWXC6w/y94sBxY2WZnG2k8hnIW3hBisaWWlmxgEHkoFvW9Q8icsT86T1in35mrK2r6jG1kkqPgEAW5hVh/PynUn/Pu2VL4+eusf0iILrpI43Xv0ucM+KtAwPC/+KHH7DU2GECBj6vbu9WJIkTgeEGoSugTM/H8yFh+kis14idSIAESIAEjhIBChhHCTynJQESIIFjjcB1N9yyIl5g7Yi6uO69fy/f+uf3q61o3wv89zVXXa5MPPd84Rty8/++ZsXcM82e3WkkuHxCPIAhJC6feZpo6rXFuaDjAoxKG82WnWhLcY06Ew0qovwTdHqNt8JF0rHC+uuUl7SpCXpsfLMPP5GpmJdqvzUVv3CLFG+9pe+j1sWXS+u3e8uYes82bspO69bPS/vWz0vRXpRaa18oytniY6T4ng8lwv2zT5ly6D9McfAaQRdxun8hV0V5eq5WdRVEYey6ILmAgeG0DwlSr/x8StyLZvpIoiNkZxIgARIggTUmQAFjjYFzOhIgARLYKATghQERQ0dgaBFDRWb89EHZffrJKsUE6SZZmk4j0Zf/ZrsbZRBWjSTtfHEFBnyrDWuAuL4V2qgT3/YPWniJezlPyijvyIks5p7l914jhfvuCdxC57QzpfGa3lQOnNlIxZKZelOWmvGEJy1gYCLLXpSh9pQUnX4TWYgXbXNIhq7/QCKsP3hPQRb2o/TIsnDhfdoQMZezOIrDjpxzTfoIG3cKT5hZLNNHEh0hO5MACZAACawxAQoYawyc05EACZDARiEAoQJNVxlBmgn8MfJu7Q4um4ZAuJird40uEW1wcLr/Ipl2bi0wIKIDc0RFdpSKpooggP9DVMti1Bk1dt991xDZNloWpN5ML7SSPu7bX0d3gH9UykXSCXU6R6NlR0YG6LGDIi+8c7sjMdKKL24BQ48PS8tKe0r9c9Ga6Jk2qYDx7bcWpNM0RDr9Agbm0dEYEDFOekZHdl0QbeAZdQZhQo5OH8FvHAQmNhIgARIgARJYbwQoYKy3E+F6SIAESOAYIfD0F/yRvPpllyoTzxtv3iMf/sQX5bZ/fPdARIy5eqsn2gFpJDP1VuIUDj+0EBjwzTz8I5KkX+yc8C/punLRNUSJHCh3GtfoMq+jHx/OxyyzUjJltFqSQUV1YL9JzT2r//PZsTEtvufzMjHSNbJME/niJ2CETZ5EwDjw74bc/7lueIUDAcMdFLKsHWgRozzmyAkXpksf8VuvWziCd4r2AWH6SOxXix1JgARIgASOEgEKGEcJPKclARIggWOZAPwuLnrhG1T6CCqToN18/dWZ00WCmHirkeBbZFzCovL5wxjj+VrVkmLBVFUaoqIuvGMhCmR2oelb/WM9lA1F1AHEkzR7w17TRi2kfa/jzNcTfdFpi3Q8KRVQQwqWiNk1j6g89/+S1sW/FzvVx2/ti697ZeCWVqIkkGJy8bOleHF8cQX+F4fvMaS95Ip08ARYGIWuwFMoO3LSM/ITMLRw5BXYto6WBOVjEWHERgIkQAIkQALrkQAFjPV4KlwTCZAACaxzAvC/gKkn2quvuCR1mdS42wyqRpI2jSSPyAKUEUUli0VP5Y+4Phpx956lXxxRwDu+u0pHnHSaLOvzPhtl7rkiYLSawTVHMahVFKNQkM4zL5eli34v0xI79/1Emjf8daiIYZ3xi2Jd+fpE8/zHuwqyNGWo6IuwwZE+ghKqz3x3ejEqbGH4XRirlqTeaEu1bMGOg+kjiU6SnUmABEiABNaSAAWMtaTNuUiABEhggxBABMZf3HCL/MlVlw8s6sKLyl2NBJ8hjQSlIb0lTsMQ49vsvNI6EN2Ay582Ez2aF/+wPUMUgNiCNJYoVkghGB8ZbMpI1K9AmLmnEjA+d3O4eKEnKJUlrCJJ1Drcn4eJGOZpZ8gJb75G4OPhTseIGv9b13bLp6r0kRBrC0RhVCYcOe9NjhIaBlEuV7+7WA/+24RDLRsJkAAJkAAJrEMCFDDW4aFwSSRAAiSwEQmgrOq5Z+1OvTVvGgku5Uj7iOtbodM68vJz0Je+QzMNyau8aGo4EQ9CFNhSK4defnW0xtRctNAxqHXqcYPMPc2f3iOVv/7DeNMXClK/4dZ4fWP2gieGu0G8KJx2hkrzgDBWLsZLR4L/xYO3mmK3ukIBBAzfSAxDxCo7svVMR/5Pe2ceJ1dVpv/n3tp6784etoAaNCAiEyHqGEVBQhgYCASESSATJIwKJDLKaGIAFYIERcWwjCNRMwgMCIGAYmIwzADtzxEkRpzBAHGAsIWk0+nu6q22e3+f91Sf6trr1l7V/ZzPp0noOvcs33Pzx3nqfZ/3PQstJS5ICd98xRIn22P6iBNK7EMCJEACJFBtAhQwqn0CnJ8ESIAExjgBidZYeuVatcvH77u54N0mp5HIpVyiBURAyNX05VwiNoJhZyU0c40pn0/taFDVUbzuyht1OllffJ9MAk4lSrzmu1bpn87cM68IDMPA4B1bC5m64GeclmoVAeOtp00EehIjHVQkxkg0hhFnQ3HM58NoOXR0WSLeORVLnGyG1UecUGIfEiABEiCBWiBAAaMWToFrIAESIIExSkCqk9y+YVPJfDKS00hEQMhW4SO+BGip/RxEQBEjT2kiouRrAqqP3PNmF+Qnvg3OKTxSJdurlCxi6HSNUkWllOM1jvfxMB+7B55f3Q2EHZSI9fow+IPEiIlyrC95TCdMRcB45/dRASMSzL4q02NjztdTjTK0d0UpUkokzSiaEhWtisJGAiRAAiRAArVKgAJGrZ4M10UCJEACdU5Aoi52vvwaNvxgFWbNnFGS3SSnkXS0eFQ4fbKRpkwm34bLxax/OJz282IWpC/VfYNBmIaBlsaox0S+Ikb7w53wvpUoXuh19SyYi9Ahk4tZZtpn5dt2SUOQdRuGoXxEShmVUvIFA+ocJUXDf/9PgEc2RKfIZhwhVUjcnqoIGLI0zVj+LlVgkpeqIzAQMTDUkxR1YUSflybiRcME4NgV6Z0+M6Xa5HsGkj4ia6SAkS859icBEiABEqg0AQoYlSbO+UiABEhgnBDQpVZvWLkMJ82djbsf3IptndvR2tKElVcsKkjUSE4jkXKPcrEV8UA3udS1N3tg2TZKHXWRKaJDX7C78/CPyCZelFPE0HykfKww6uoLZNUCauV1lciGxn/7OsLb/9/oklS6RXLt0ejtPzLrbxBYcVNVl5/JV0QEjFd+4VJChfK/sEb0mJGtuBtteJqj1UeaD4n6X2Rq+fpvJI/D9JGqviKcnARIgARIIE8CFDDyBMbuJEACJEACzglICsnDWzpjD5w9f64SMfr6B7HhlpUFVTDJlkYiZpotDW4MBiKOzT2d7kbGbm/ywD8UTju2Nsp0ImI0PbMTzc/udDT1vssXOOrnpFNyCkkhZVadzFOuPg03Xgbz9V0jmkWG0h0j4QvBc/4J4U+fW66lOB5Xp3pIJJAYzva/AfzfQy4M7s1e6cPXYSsB493nRBL8LzJNrEW03sEghoPOfV6YPuL4KNmRBEiABEigBghQwKiBQ+ASSIAESKDeCTzRuR033nZvWpPOUy64CiJcXLY0ehHXkRkShXHRufPy3rpcAiWVRDdJI4lEbLhcRlnMNOXS39rkdjS2k2ofsu4pt2+Krd8IhmEODMMIhWO/s5obYHvcsL1ulCqVJD7tJf6CW08ihhIw9u8BBvxZ3xu7oQkhETA+fnre71c5HohP9dhxdwTDb5sIBYCh7uyzJZt35lpbISklTB/JRZWfkwAJkAAJ1BIBChi1dBpcCwmQAAnUKYFsZp0SbdHW0pSws1PO/zKWnHdqQQJGOGJhb89oyoh8gyzVSPyDIRUdUcrmdZtq7HxMLrWJY/9QSEWCpGtawHAd6E8QLpL7Rjpa0P+xY1CMqaeq5tHsgaSMiB9DOp+OQlJgSsnZyVjiaWL8ywWw+noAy8ps5GkYsCdMQWj+opoRMGR/KjCky4MX7pfl2+ocxMAzNIBYOVXNQbwvJIXkyAucRV/E88snpUT6TutoQMQG5L1lIwESIAESIIFaJ0ABo9ZPiOsjARIggTQE1t52L3bu2p3ySaHeEsVAlnUsv3od5hw3C5u2dGLrfTdnTQ0RseOuB36NjT++vqAUElnrvp5hhCI2pJykGA+aBvBOz3BJvRyKKb2qUzUyiRgiYEjUhfzkan3zjsfAx47J1S3t55lKp6br7DR6pKCFFPmQPgv/pafDCMaVzY2IYCUX77jao2LgCSB47hdqSsCQs+jb4cGrT1nKPDViWQnvq4gZVghKuNBt2octTPtwhlSZHEydlHSVPh63gSafu8gT4uMkQAIkQAIkUBkCFDAqw5mzkAAJkEBJCYhQ8NaeaPUKiXDYtPlp+AeGsHH9dQWZYxa7OEkLOWT6ZKxeux7P7NiZkkoia7zptnvVZ9JWXbFIGXsW2oaDEbhdZiwyIls1knznKFXp1WzigQgY7r1SfiJ3Gz7yUBy48NO5Oyb1kMup/EiZzXRVWtINmI/gkfeCCnhA1iNnK0aX/s0Pw7VtI8zuvSkjiSBgJ5X6qCUBQ/tg7HwijNc7bSW5SMqTZUejMTK1YgQMGVOfp/x76RtMLT3L9JECXko+QgIkQAIkUFUCFDCqip+TkwAJkEDxBB7Z0omvrV2vKnsU4ilR/ApGRxAhQ8qnxnte6E9/9uBWVYHkhONmFRx5Eb/Wrt5ArPynRGFIGoSkSBTT9LfW2nCxmLHiL5DJKSgT7v4NGl5+w9Hwkkay95+dm1HqFAJhUkhp11oRMZLX4X76Mbg7H4PR/U5iFEYaitbEqQiftLAmIjDiPUZ6d9vKwFM3ETEkeCRT+V2nBp7ZXqRMKSU6fSRs2ZBUKTYSIAESIAESqAcCFDDq4ZS4RhIgARLIQEAEg4WXXIOT587GDasurQlOEh0ikRhSZeTg6ZNVpIiIFqVuOo1Ejzt9QkPBaST5GHXmu490gkDzb/8HbVv/kHMoMfKMTGiB00okub5xzznhSAe53E5s9Spz1J44w1SnzxfbTyq+tDV60BcXPaIFDBk7m4hhTJ6OiNuL8NzTqy5gpDNI/etGEwNvjvpNyJkJb2GdHItx7Ir0HiqF8NXi3IH+oBL+mD5SCEU+QwIkQAIkUG0CFDCqfQKcnwRIgAQKJCBpGQuXXaueltSRZKPMAoctyWMiYGx7+jk11qrli3HW/LklGTd+kORqJHLhFtNMCZfPpxVi1OlkfG9XCN6uqKmoXFIlQqR/VqMyGpUyqi2//R+4evozDqXFC+ngRMDQF9T4S7+TdWbr09HsUakOEtmSlKFR7NAZn89WFUWqkEiL+A8AgaHojwgapguGtwHGpOkwTUN5ogRW3aF8UqrVhJ3HbaKrL5DATpVRvSvx3E1fA8yGRpVOYo2ALkX0RfLe4wUu8b6QqSRSh40ESIAESIAE6oUABYx6OSmukwRIgASSCKy+8U5s69xelBlmOaDqNBIRVNatWVGSdJF060yuRiLf2vs8Jnr6U3P9M+2zGKPObOwmdvbBNyJeJPfr/1QHIi++hOZnd0JKqCoRQ26SlgVj5L5tS2ZBgw+qnKrXnVPA0GamhaSM5HoHKlVmVaIQJrR4VTSCnGG6tAqJwrAfWQ87mN78VEQMz6SDYBzxXrR9YaXy/8hUCSbXvgv9PFspU/O1l+C99xb0hWfgxaGLEqfw+uCaMl29CocvCKPl0EJXkP05VZWmyYOmBjfCERtuVh8pD2iOSgIkQAIkUBYCFDDKgpWDkgAJkEB5CYifhFQiEd+LeDNM8ZiodiSGrM3fP4jLli4oL4S4aiQykc7p33Mgd2WPUhl1pttgNvFC9x86eQI8dz2i/jcmYkhpUNmEqrc52obefwR6PvPJtCzjv1GXy3q5oiTKLWI49d3Y++9r0PH879EQylwuN9DcAs+ND6iyoBNafXmVwC32hc22Dy1e6DlExPBHDo/9tLpeQ2vjO5j8uc9g8rszl7wtdo3yfNTg1aWMcNlIgARIgARIoJ4IUMCop9PiWkmABEhghMAp538Zb72zP4XH5UsXVEQ4KPYgJEpDhA5p4t9RqEdGchrJpDaf+tY9GLIyLrHURp3xE7XsHELrzmhaQ6xZHsD2AK7B0d8d5EN4VhjGTx7PmkYiD4SndqBnwVyEDpmcMKz2iSiV4WiuM5UUmNZGD7r9gZKmZkiFjrYmL+Qs5SdT631yI/qefEh9PK23T4kYLstCZKRsqvx+2OPGO+1tmLJkNRqOOFql7khqUShsoXewfAKPzK0Fk0z78N7zfZi7X86FWXl3+E45S4kMPSN+FTkfyrODVB8xYMDroYCRJzp2JwESIAESqDIBChhVPgBOTwIkQAKFEBD/C4lySG5SyrTW285du7H86nU4auYMVQL22R07Uajwkk8aSTmNOjXzgzZ1j+IPt8OwvSnHYZsDSsyInDoJrjsfBPb7o30kfCIphMJqbVJpJMGDJ6P37FEfkXJHRGR6h+SSLiKRlOQsRWqG3scBB6LI69ctVstqHxxSP9JEwNCtu6UZvU2N6n/bTjwH7ScujH0mKTaSXiReHpkqfhTz70aLO9ogM3ms5OiLXHMNr7pDVQbpaMkt7OQaK/lzVh/Jlxj7kwAJkAAJ1BIBChi1dBpcCwmQAAmMAwIrrl6nyqnesHKZ2u0dGzbh9g2bcOuaFQnpME5RxFcj0SH8e3sS00jKZdSZvMaYgJFBvND9bSMIa/B5GAO7YUg6RFcfjEj0Mi7+FyqNZCSyQJt5ShSGddgUJSAEwxH0DpQ3oiATf6fpHtnOL1Npz2zPiIAxdSTyIlM/icDY296WImBI/3RiSdPuJxOGGpxxotPXLtbPiZgUX0HFyQQiYEgT1h0tHlWhpFQRJBLZIWIOzTudnAT7kAAJkAAJ1BoBChi1diJcDwmQAAmMcQJSOUXSRuI9MiQiQyIzCqmmkiuNpFxGnemOSQkYOcQL/Vxk4AVYA3+BW0w8g5lTJ5So4XEjcPoceD51bM5Ui0q8PsWIGIWWeu1beU4s8iLbHiUKwz5tcUIEhu4v6SrtTV4Mvv0yGp7bkHaYYPvh6P3AEkcYnYgXMlBMwAgOwwgGEsa2W9pT5tIChv6glCatTB9xdLTsRAIkQAIkUKMEKGDU6MFwWSRAAiQwVglIidVnduzE4/fdHNuirlxy9vy5eXt4ZEoj8Q+GY9EK8vdypA4kn9FBD/lhRDrUr18dAp7qAV4bTjTlPLzBxic6gMM9Q4jseTSnB0ZM8DjzI9h/wlEV2YeTd0+iKMRfQqIDegacVX4pxljTWHGak2WpPj0Ll6UVMOSzBv9uTPifu2Cpwi/py6zmEjF0xRQZT9JGcpmnioDhefQnKeKF3pA1cSrgbYjtL1nAkA90mkoxlVV0+oj8W5ASr2wkQAIkQAIkUG8EKGDU24lxvSRAAiRQRwQkPeTg6ZOxYP6of4OIFQsvuQZLzjs1QawQU8+7HtyaIGw43WpyGsmUdp96VMLuhwIRp8MU3W/SkxH49nqVePGzPYnCRfLgF07tx+FvPBhNIRlpcsHMdBkefv8ROJChGknRCy9igI5mj7oMd/UFsl7ko5UvCjOmFANPY/M9jiIwZCvDZy6F79Pnp93VlM7r1e+lfKiwziRs9XzgIoTaj0gZo5DoE+9P18K9ozMr5XgRI52AIQ8XGr2iJxb+IoRQvCjiheejJEACJEACVSVAAaOq+Dk5CZAACYxtAlItRfwcNtyyEvEGo9r3QlJGZs2coSA80bldmXv+73+lD+3PRkqnkcQbdUr//X2BikYstPxvGG0v+HD9K9nFC0C++Y9gdfDuBAFD1hwvYui/ax+MfZeXvzRtIW9krlSKYlMgdAWSXB4YSrzwuJWAEW/iqfcknhfNu5+CEQnANRRnuDrSwfK2wPK2qv9LF4VRiHihDTyN7ndgDCUZ78Z5ncic1vQZCC66Etbh7814DDr6Q/7s6Q/l9X4zfaSQt5vPkAAJkAAJ1BIBChi1dBpcCwmQAAmMIQI6okK2NOe4WTHTTr1FSSXZ9vRzuPWGLypTT/l/+VPEjnybpJFIZQwpxzkUCMM/FFbf9stPJUWM5v8dwh9/a+Dpnha1hYAF9EeAYFKmQovLQqvLwsdCz+FTwT+nbFcup9J0NEakowW2141aFTBkrelEjFgZ04hVlOlofAlVLWJIBRLLMGBrWCPiRSYTT1mjRF+kEy8MGWcEtu3yItI4SfHfN/ea2NnkKpOa6Z1V5VN3/Rlm914gHEoNsZH1uz3q8cjRxyPwuW84ev3z9XbR6SOSNSPRJ2wkQAIkQAIkUI8EKGDU46lxzSRAAiRQBwQkVUSiLuTPeRdchZVXLMJF586LrVxKqEokhggd0iTNRIw9Cy0FK/fPrt5hhCKjakGuyIBSY/TsDeGHG+QyaiBgudCdxZvTa9joCPfg6rZfj/pgRCIwksQOq8ELq6Wx5gUMYal9Grr9AeUxIRVTtKBULGupQuILhVQaSXMgCNO2YY6wCrpM9DQ3xcqoTlmyGg1HHJ0y5bQnvgIz2J92KfEiho7E0AKGFsOclHtNHrzhm5+Nihe6ZRAxrKmHIHzSQoQ/frpjVFJdR3xIRLCTKKRsjekjjrGyIwmQAAmQQA0ToIBRw4fDpZEACZDAWCEgQsVdD/waG398fYpAIUKGtLaWpqK3Kxc5/2CioWSlRYx/W2tAXDe6w66s+xHBpdkewo2THlP93O8cgGFZKrvENqPfkBsuMxaF0TfveAx87JiiGZV7AIlUmNLRMFL6M4jhYLQ8bLEt8Jv70fBo9vSid9pbgZnHYuo/Xp12upiAYcuabBjqTyldGzW0NEx3LBIj3HKQisAo9v1p+uIZ6beuztoGXNH3RKqRhOYvykvAkOdiUS5hK2upVaaPFPsG8nkSIAESIIFaIEABoxZOgWsgARIggXFA4JQLrlK7lOojm7Z04qS5s0siWiSjq7aI8f0b3AjBRtDOHqav00PWTXwQ7r09Cd4X8XuS0H/L7UZkQktNp5DoNesLv/x/qaIvZCyJwHDigWGv25z2X5On91VMfO4OmMM9MJQHSWqzYQCmW33gn3k6zGMXwOcx0e0P5uU1oUeW6iPeB//V0b9u2+tD6MzP5i1g6MGz+Yzo9BHpa46IY44WxU4kQAIkQAIkUGMEKGDU2IFwOSRAAiQwVgnoVBIx7ZSoCzHwLEXURTpe1RQxfveUid88OfKNfg6rAbkqn+19Hp/+jLXFAAAgAElEQVQceCa6DVE1LCsxjUQqk3S0INLoQ/8JszA4Z1ZNviISCdDeHPVy6B0pqyrpDcPBiEpxKKZpDwxJIZne0wdvZDSqwzKAsGliyOtBNv8LMfBse/FhmKGBrEvRIoZ9/IUYPvzErFENufakyqduuRdGf2+ururz4LlfKFjAkOclTaSlwY3ewdHIFxEvJrf5VEqPiDFsJEACJEACJFDPBChg1PPpce0kQAIkUEcEpMrI1268EwtO+7jyw8jURNwohbDRNxBCf5IvgEQHNHhdOUt+FoP19dcMbLgrmhYQ5y+ZdsiJbhsn+f6CT+B5mP1DMIeDCf1UEMdIioExqRVhtxt7Lzsr5/JadkXTUvpnOvdTyDlolg6ZqnPI/kXEiETsooQA7X8xrdcf5ar8L0ajKMTMUwsY8vlh196TstrmVx5XAgZsEYhylNZtnIDg0WfBfN/JKMT3Qk8uAob7iY0w976Zat5pumJnK/0lAmPoOxuLOQb1rDYbjQpHISVeiC+M123A7aKAUTRgDkACJEACJFBVAhQwqoqfk5MACZDA+CGw9Mq1WHLuPJU6kq1J6dUl552aYPhZKKWe/iAGA4mX1UqIGLfd6EJPJBp+Id98i69octJCo2ljqheY63kBH8efR408s2zWaG1Ez+pFKXuSR7zdL2HSM7ekPB2YeKQSMoITM5fmLJSvPNfgNdHe5FViUSYjyY5mDzxus2DhaO81n4EWL7KttbepURl5phMwJAKj/YX7o4+L94UIGSmnIikkLnHHQNdHvwJj0rsxoUVMMkNpmefi5t62Ed5Hf6qiahBJE4USV4HEmjgVw1//Sa4hHX2uoy5EWAqGLVV1hOKFI3TsRAIkQAIkUOMEKGDU+AFxeSRAAiQwnghImsnCS66Bf2AIW++7ueCKJPHMqiFi/OgmF8JSFSVkqD/TNZE3fKaNL015G0fs2woj5CzNIvKDzyuhIF4syCRexM+7f86VJRcx8jG4zKdvMq/Al/8eDSN8pHxqcouYo5EFuydPzChgtO56LGMVEhlTVyKRUqp7TomKQZmiS5z8u0yoQCLVR2TtyWE5pgvWIe+CNeNIBBf/s5Nhc/bRa5bSsCIcsZEACZAACZDAWCFAAWOsnCT3QQIkQAJjgIBEaYhHxs5du1X5VTH8LEUTE0YJqY9v5YzE2P5bA7972sTeYHq7SG2NIX/OahjCPw+kpjyk27ftcWPgtBPQePIHYwaZTsQLPdbb8+8oBU51Bxe/C48rP4NLXY50f18gL1PMvpXnoGNgMMH7In4j4oMR0tU8TlsMnHZhyj4lAqN591NwDe2HER5WVUhizXDFxAv5XaRxIvaeuGb04wJSYWLpI/veBqw0KSsutzhqqjkk+iK4dCWsw4uPktHiRThiQcqs0rSzJK88ByEBEiABEqgRAhQwauQguAwSIAESIIFRAiJeiJhx8tzZWf0ynDKzLBv7+4IIxZk/yrOS2iAXPBE4Stma/9iLqx+biGG5WSdelROmMQ0bbsPAF8O/xHvtPTmXEOloQf/HjkHgI0dhUptPiRieJ78DX/fLOZ+VDqWIwigmIkHW0ORzobXRgwP9QZXe4KSJgDG1rz9rVy1iDJ+5FL5Pn5/SVwSMllceh2uoG7DCKekjqpSq4VLihe3yqRKqyU0qfTitSpISfRHn2REbd0TECJ55McInL3SCImsfRl4UjZADkAAJkAAJ1DgBChg1fkBcHgmQAAmMVwJSanX12vW4YeUyLJg/t2gM2UQMGbxnpHJG0RNJNYg/9mLVY5Mg9/PMV3RbRTKIxPH3rudxRuDZ6NRy0bVtGGKeMdJs04Dt9SAysRUDI5VI9GXVdd9nHS9ZSoPmY+x5t/9FHOudhGN9k9Uc8o1+R4s3JYXF8QJGOorRpAgwfYPOvCUkhaQxGIpGYAibuAntuJSMfa3NsP7uQrSfmCoGJHhgKM7igSFxGHGc3Y2INE7CwIxPYHDGiWm3paNIcpl7Nn3xjOjzkZHoC4nC0CKGXrNhwO6YjND8RUVVH5FpNNOIxbSRfN9H9icBEiABEqgfAhQw6uesuFISIAESGHcE1t52L7Z1blcixt0PbsVXr1hUlC9GJUWMNWvcCNu2MvFMbsk2CKc3voAzXH+G64AfRlKUiLprj1QjkQiMA5/5JEKHRAUFGWf65sscvxdOBIznA1242/8S/hzcnzDuh5qm4HNT3493R9pUVYtim9NIjuFXX0Dj976sKo94wxGkc3QQkSjodkHEjJ6Fy9IKGFM6r4+mj0SCURNPZdVpQEVexLWh6bPRc9yyrNsTIUeqq0h52HTGpeZrL6Hh5iujqSPpIi9k9JHoC6k+Ejrzs0UJGCJeTGyVaiOWqrLDRgIkQAIkQAJjlQAFjLF6stwXCZAACdQZgXTlU+V3887/sjL1vHzpAly2dEHRuxJvAEknkW+q45ukk0grRSSGfEu/arWNkMPVtvn8uMnzKyVgpFx4VZjGaMxB1z+dERMwZPiDtsQJGGmqa6h4BZUeYSKXgCHixVf3/y5l1SI2yBLCERs3TfpoLCLD4fYydpNxRQiIlvxMb2La++RGmL+6G1P8A7FxRMzQTf3NMBA2DYiZZzoBQ/tfGJEAXAN7U9NHhJHphph3Dk85JqeAofQHMxpFImk8yWtX1Uce+lFm8UIvXqeQnPuFggUMScmR1BZJx6F4UewbyedJgARIgARqnQAFjFo/Ia6PBEiABMYBgTs2bMJdD/waW+//LtpammI71hEYt65Zocw9S9UyiRhT2n0IhCyV2lBIk0u++DvIRfLb64J45bX4ZIfMI4qA8Z3gQ6OVSCwrIYVEnpQ0ksjENtheN/ZdPirkTHzm+yMeGJJ2krmSiUQa+I88M2sKyWlv/SJlkVKCU/SCeMGnlCKGMBMRIxKx0TsYStFvRMCY8OCdCQaeImBo4SJ+wXvbWmCftjglAkMEDF2BRFUaEU4qFSUqhERFHgORpikZ/S/SnZ5eu/ARTw+tq/j+7Rtw/fn36UunjgguaryRMqrDX/peQQaeIl60NHoQClto9DHyopB/s3yGBEiABEigvghQwKiv8+JqSYAESGBMEdBmnbKpDbesTEkPER+Mk+bOThA1SgUgnYgh98nJbb6sEQGZ5tffyEs0gQgg//mkgf96ylkJyxntb2JVpBOunn7lmWCkydCwXWbUB2NCC3oWzI1FYagqJL//Hgw7TaWLpMX2HHNhRm8H8bu4x/9S7Ilo1oqhUmAk9Sa+LW59Ly5sfV+pjkKNIxEwUvKzqy+QKGJsvhvG5nsg5VOVB0ZSk5XJj6SQDHk9sJffhIYjjk7o1fzK42h78eHRSiMjKSRi2hnfJAJDPDDSGXhm26xEQIhopaurNK76Bxi9+7NHYIxE1djtkzB043/kzVKXpS2FeJEu+invBfEBEiABEiABEqgAAQoYFYDMKUiABEiABFIJiDix9tZ7sOS8U0uSGlII41KJGJIy0tLgRv/wqCfC9t/3Y8u2BgQivqxLm9qyBw2uML7c+xM0GIfDCIhHg61EDOV9IRfdkXKbMpCUUu2bdzwG58yKjTtt21VwBXqzXpjDzdNguxsyXs7joy9Mw1BTStRFJguHzQf/fSHIsz6jL+XxZVaTIzB0+kjUgDPatIAhHhj2us0pc0zafgd8+/4XiEhkTao6pCuQyIPJJVSdblKbe/o3PwTjnluz+1/oQd0eRI6Zg8DnvuF0GtVPc7LEF8TtTCTLNsHCZdcqo9yLzp2X1zrYmQRIgARIgAQqTYACRqWJcz4SIAESGOcE5Nvem267F8/s2IlvrVyGE44bvYhXA02xIkbyt+96D2+/EcSvHurGO/2TM4oYSrzwBNQjV/Z9BS0BZxdI/yePQ/+njlPPeXpfRceffwZzuCcqYmRolsuHSMv0jBU2tIAhZWXNEb+LbOdRDgFD5tNCgBYxAr+5H82bfgJ3OjfUpAXuntSBqdf/POG3ctlv2fo1GH4pU5vZfFSlkZhuDE95Pw586PKCXkURE5p/cx8CD/07EHJQmtftQXDBJXmVUC21eCEb1ZFQkqYlhrnxaVwFgeBDJEACJEACJFAmAhQwygSWw5IACZAACaQnIJelnz24VX3be8j0aDWNardMIsaU9oa0Jo2yXp0yEgxH0DuQ6t0gfTZ//7/xlvswDIe9CIQbErbZ3tgT+//DWl/BZzp+hMbtn3aEYvjIQ3HgwmhfbVDp6X0t57MiYvQd/Zm0aSQiYGi/i72hIXRbUWFFt0bDhYlmA5pMt/pVuQQMtSefS3mJiK9E8Bd3qRQSTyQCM0vxEzHx7G5pRtvah9T6JHClvcmj0mA8Gy+DERpMMe9MBiaRGH2zzsXAu07JyTJTh8bVi2Ec6BqJhsmyYIkWaWhC6OxLHRt4avFCm6oWvMg0D4qwKGWLd+7anTadq5RzcSwSIAESIAESKJQABYxCyfE5EiABEiCBMUVARIx9vYn+C5kqTYhholyOM5XR1GCa/vVz2NS0GK/7353x2/8ZE/4Pi/5mPSJ9BvDMR+DbP2piqsaRHI6kuqvhqR0xI09lUPnSo1mjL+IPqveo8zDw7lMTzk72uTH4V9zZ9QJ2B/0YyuKncYirGR9umIZvT/7bsp6/lAaVKh8vfe7v0D44pOYSH4zkSAxLokVMU5VQHT5qNnxfuEGJS2IMKoasQ2+/jMm/+7YqnZrLJ8RyN6Fv1jkZfUKcbLjxXxbCGPBHuyr9IoOIIWtuasHQdzY6GVZ5hHg9LvUqyP7K1URcvP2nD2PV8sU4a/7chGlEfKwV0bFc++e4JEACJEACtU2AAkZtnw9XRwIkQAIkUEECUiZ0X+9wgu9DsoiRzqch0xIb3ngYjW9uws93fRa7D4iIEd9szJj4Ci48Yb36ZTDcgND2WWh9aVJUtJBKJEl3X/HEsNqaYTU3xAQMSSGZ0rnGMSWpROJ/75mx/tq/o28ohA/sui8l8iLdwN+YeELJTTzTzSPsX/vmIhy2rzvhY1WFJEnUkQ7DZy5F07wLEsqbisCjDDwjIykdVjhtJIYthp6Gid6jzy9YwDBfewkN3/uSMmKFpU1VjdRojJHSuHbHZAzdcE/OsxPxwu0ylS+J/Fnu9uyOnVi++gfY8INVCdV/dLWg1tZmnD1/btW8a8q9f45PAiRAAiRQuwQoYNTu2XBlJEACJEACVSCQTcSQL76HQ5lTRpKXa+95ApPe3ABPm43Xut+F13veFevyiSO3xf4uekXY8sL4y3vg/sPBMNJU25DOUolEvoIfev8R6PnMJ2PPH/zYMsekRLwQEUNashhz4hsP483IAMQcMgwrJXbABQNTXY34ZOMhZY/A0Bt6/brFaAiFcNCB3rQ+GEGpzmIYeKe9FS2n/gOOOOMfMBBnpioCRssrj8M1lCiCQEeZxFUikSoke065xTHL5I7upx+D59GfwAgGoiJGRMrajkRLJAdNGAaCF6zImj6iq+LI+1Ep8ULvKVNlEjH8lM82rr+OXhkFvyl8kARIgARIoFACFDAKJcfnSIAESIAExiwBETH29gzH9tfgNdHW5FXmlnI5ltQRJ83ufwUdb96EBnMAhmknZ4KMChgqU8SEPdwI188/qqIvUiqRjHxrLw9JBMY7X7mgYAGj/71nYkKLV62npz+kqo3oMqr7I8N4OzKYdnsemGg23TjU3VJWD4z4yff++xq0P/97NAZDcFtWWh+M3kYf9ra34eBTP4OGv12AUGQ0dEV7hLiG9o9GYWQ4vEIrkOjhlICx5V4YB/ZFf5VSwsWI6hmmS2rUYvhL34N1+HvTrkanwchevG6jIpEXud5picC4fcMmJV6I4ScbCZAACZAACVSaAAWMShPnfCRAAiRAAnVBYDAQQU9/MCFKQRYuvgzx3/Dn2szkXZfANMJwGTqlYPSJ0Wv2yNfzQQ+M//hE1iGljGpkQgsGTpgVK6U66b+/A9/+F3MtRUVvhI85Gzj2nBRzUhEw7ux9QUVgKJHEtmMxGCakMsloCMFE04dnDjsv93wl6NG7/uvoeP6Z2EiSPiJChmUYiMSVl+1tasSEbz+sxJj4pqu0yO/MoB9msD9lVRJ5YXlbYLt8GcvMOtmKe9tGeB/9KRAOZShpawButzoHu6U9Y/rIqEGsVTPihaSVLL1yLVZesYjlVp28DOxDAiRAAiRQFgIUMMqClYOSAAmQAAmMBQLyBXpgJGVEX4z15bJ/KAQROXK1ya9/Be7Q23Hd9AU7KafAcKvUEfu+U2CE0kd4aPFCD7bv8gXqr60vP4rWl38R/XXKt/4jJTn0Q6esBqYfhX09wwmRCiJgfKP72VzbiX1eKR8MSSERE8/J/v600Rc6haTn2DloX/bNtOtv//Nd8MZVaREhQzfL2xr7+8CMTxTsfyGDNHzzszC79kT9LySKJrmNiEBGcysiE6dheNUdKV30+yWmslIVphKeF5kOXaeRiHnnwkuuwYLTPq4EDDYSIAESIAESqBYBChjVIs95SYAESIAEqk5AQuLlkpbtUqYjMeIXm4+I0d71YzT6OwE7W9qJAZgeIGDDevEY4K8zlIhhDkTTWCRlRMQL2xstYaqbFjDk/1UURvdLWZlK9MX+I05XVSwkhaTbH4iJGLUoYPQ+uRGB39yPab1+SOSFN4M3yN62FkgExmHXpjfEjI/CyAQo2H44ej+wpOB3UtJH3E9shLn3zVERKVlMkogR0wWjfSIavrQGPZPflRAxEi9eeN1i2lm+aiNONip+FyfPnY1tndvpe+EEGPuQAAmQAAmUnQAFjLIj5gQkQAIkQAK1RkC+UV5x9Tp1Kdtwy8qcpSHF88I/GErYhlMRwxN4BZPeXqPKeEaNI6PfzCcW0TBgwwUMeWHtmgX79eSKJekJxgsYuUSM0PsXoPtdZ8QuzFKmdGKrD72DQQwHLeWBcdOB7SklVEO2BUkhccUtuNFw4asTZpe9EokIGB0bo1VadJNSqrpJGomuRiImnlOv/3nGV01EjKbdTyVEYujOxYoXMo6KvujeGx0yYwqJ1IJ1w25ohHnrIyo9qdsfRDBsKVFJ0pMk0sfnKX+lESf/JvW/k527duOnt6zEnONmOXmMfUiABEiABEigbAQoYJQNLQcmARIgARKoRQKSy/+1teuVCaFEXhwyfbKjZWYSMaa0+9AzEBUBMrVpr30Bhh1UIoaBDOkh4u4Y9sL6y9GOBIx4D4z4eb37X4Sv+0WVUhKeMgvug45Gf/uR6GudmbI8ETHk0tw3GMKPul6IeWBEbBtBpKbHiJDhM1w40tOOxa3vLbuAgc13w9icu8yobEwiMNrWPpTzLEXI8MSlkwzOODHnM046NH3xjMRumUQMlxvWwUeo9BHhP6HVh+FgBE0+l4qGqRXxIn4za2+7V0VhOBH7nLBiHxIgARIgARIolAAFjELJ8TkSIAESIIG6JHDKBVepEP/H7/+uWr98y/zirt1obWnCCTm+YU4nYuhIhvh0jGQwk9+6Bq7QPphW1CAz2hLNJm14VMlN64WjYL96ZE62PQvmInRIZvFFX46HAtmrpsRHkpz4yibsiwxlrEIii5Kkhne723DblE/gWJ8z8SfnZjJ0kPSRhkc3OH7cXrfZcd9SdjRfewkN3/tS+iGlnKoCJ2lC0cgKa+JUDH/9J+rvIlx0tHghlW/E86JW2xOd23HS3Nm1ujyuiwRIgARIYJwQoIAxTg6a2yQBEiABEogSEMFi3gVX4fKlUQNMKQup20XnzstpUliIiNHkfwKt3Q/AsMTTIiIyRdJxRC+ukkYSMQ4CHvtw1uPKFH2hH5LUhEafGwfiPC6yDahFjIte/Q1+3vPXkbUkCizyS0PJF1ERY/cR/1j2V0pSSETAaAiFlQeGmeQpEV+FZNjjxpR/3aKiSSrdYuVT+3sdTR05+ngEPvcNJV60NXmUeOGtkbQRRxtgJxIgARIgARKoEgEKGFUCz2lJgARIgASqR+BnD26FhMW3Njdi5fLFWDB/LvTvbl2zIuc3zYWIGCqNxBrOmEKiBAzDq36Ghz4F7zZvWkC5Ii/kQtzgdWF/XyClpGguEeOifY9jm//NnAfjgYn/mD4PH26YlrNvMR20ieeh3T1pK5DI2FKFZMjrwd72Nhx38wOIRGz0DobSFmMpZi3ZnlUGnp2Pwdyz29EUwTMvhu/089Hc4EYobKHR53L0HDuRAAmQAAmQwHgnQAFjvL8B3D8JkAAJjFMCUoHkrPlzEzwwTjn/yzj7tI/jspHojGxoMokY4ikh4oH4GcQ3SSNxB16D2HUmp4/ofjbcgOGCf8J5GGifj6ZndiaMMTgns4miRFFMbPUiELLgHyrsAj/ztbthw0ZQDEczNBEvTMPAivZjsaLj2LK+PToCozEYyliBxDKANyZ2ADOPxdR/vFpFNIiPRFdfoGIihqSQeO+9BQgOjxp5ZiAj6SO+y66B78ijKF6U9e3h4CRAAiRAAmORAAWMsXiq3BMJkAAJkEDeBCS1ZOEl1+Bbqy7NGYGhB+8bCKF/ONGUU9ICWho9KREQU1+/EmbEP2LkmZzmMOp9YMNAoGk2Dky70vEedApILr+LXAOKgCFN7BrCtpUiALiN0eoY5RYwZA2B/7cJvv/4t1j6iGnZcNkisUQXKdEXUoVE0kfs5Teh4Yij1fp1Ck2+USi5+GT73HvP92HuflmJGEZ/L4xgIKW7iBfeo49Dw6VfUWkjDd7aqDZSzL75LAmQAAmQAAlUkgAFjErS5lwkQAIkQAJlJ7BpS6dKBxFTTvG5yGXMKaVUxaBQvDDmfPB9uGHVpXmtsac/iMFAYsWOdCKGEjDCvXEpJKkeE9GJDURcHdg741ZH65A0BLmw56qE4mQwLWA46VtOAUMLMs99aSHaB4cwta8/45JExOhpboL382tiAoZ0Fi7y49QHxMmes/WJRWHEdRIhQ5rd0q7+NE0DjZf+C4x3vQ9ed3bxQkqXynv81SsWoa2lqdjl8XkSIAESIAESGBMEKGCMiWPkJkiABEiABISApIU8vKUTS86dB7kAipghIka2lBBVlQTA2fPnOkodSUfaiYjR0vMIWg5szJpCose2DR/2HPHjnIda6kiDxXsex+8D7+ScVzqUS8CIjyb561XnYFqvX0VgeCPp01rCpoG3JrTD9+nz0X7iwoS1i5DU2ujBgf4gguHMaTGONuygUzoRQz+mxQvz3bNU+dRcTYS11WvXq/eY5Utz0eLnJEACJEAC44UABYzxctLcJwmQAAmMAwIfOf0LCSkgImhIZEWyMaeki0iEhnyzLRdFacV+yy2eC8FQ4iU5PhLD17sNbV0b0lQgST0YGyb6Ji/FYOtJaU9NLvkdLR6V4iGX86TiHAWf9O+H38Hidx539Pyuwy901C+fTpJS0d7kRe9gEMNBC8aK09TjLsuC27JV+Vt99Zf4laDbFUshGT5zaYqAIc/qcrIDw2HITyWamHqau19SKSXWjCPR9L6j4f30WSo1R84un6ZFuW+tXJYzmiifcdmXBEiABEiABOqRAAWMejw1rpkESIAESCAtgfd/ciluWLlMVRXRTb7FfmbHzti32PKN9sJl16o+0rdUzbJs7O8LIpQUKaCjJPq6dqLjjeth2KneCIlrEJtPA/0TFqK/46yU5ZXK7yLTvp1EYdwz7ZSSVyBJLv06/OoLaPzel+GJRDJWIJE9xHwwzlyqojDStXIzy8RSBIv2Jg/cLhOmCfVnIU1SSW7/6cO4/OKzIaV+k5u83yLAzZo5o5Dh+QwJkAAJkAAJ1A0BChh1c1RcKAmQAAmQQC4CWqx4/L6bY10l2mLplWsx57hZMcFCLoRy2cvlj5FrvuTPc4kY5p+WwLCGMlQhiTfydCPQ9MEUI08pt9nW6FHGoeWMJljX8zzW9T6vtndK84D68/9CHvw16MW900/BHF9py6emS4WRCiSTHvhRNPJCnEGSwkzEvFM3VUr1rIszChjSL75KS99gsolqviedu78sb3KbT5WydbuMgsULPZMIb8uvXpeQ6qTf7bf2dKluC079GL66fHHR0US5d8ceJEACJEACJFAdAhQwqsOds5IACZAACZSBgFzo5l1wVYrvhQgW4oexcf11ZZg1cUgRMfb1BtTFNb7JJb1l13IguD9jGVXpHy2lasJytWLvYbfEhii130UuEK9Hfo3XIq/EujUbHrS5PTjENxuNoWNKlraiy552+4MJzAK/uR+Nj/wU3nAEmeIWVMKOYWDA50X/govTppDE71NEBSk1G4nY6B0srNRsLm7xYomU0vW6ixcv9Jzyfr+4a7eqkqPFC4m8WLdmheqSLNQ5WSv7kAAJkAAJkEA9EaCAUU+nxbWSAAmQAAnkJKB9L1ZesSgWbi8Cxl0P/BqP3//dnM+XokM4Yql0kmQRo93/KJq6HwEsiQBIFDii7g4uJV5IC3sPRtfB1yvfhAktXhVBkHzJL8Va040h4sUQ0pt5ShZEi2s6DsapKfvLZz05IyI23w3zV3dnFTAUJ8NAyO3C0Je+m1CFJNtaMokm+aw/U1+driKmoaUUL+LnE98WSYOSJqKc9m+ppFBXClYcgwRIgARIgATyJUABI19i7E8CJEACJFCTBOQb6UOmT1Zr0yKG+FxIqkg2/4BybSadiNHkfwKtBx6AaWc33oy4J8E2fThw6BpMavNhKBCGf6gyBpTx4kXYjhqcRjAEFxrV391GE0TEOLThQ2gKHVOQiOHEk0IiMNofGqnEYoutaWoTCUhSSXobffB99xd5HWU5Ilr0vuTsS5E2kmlDa2+7F5s2P42NP74+9s5LX4nAiI/IyAsIO5MACZAACZBAHRCggFEHh8QlkgAJkAAJZCcg3zzLpS6+2oikjMiPv39QRWLEG3tWimeyiOEJvIL2/T+BK9wFwwqmXYYWL4zm98A4/PPK66Kcfhfxixi09+ANayssO4QQ+jJi8qANHpcHH53wT9jfl5ouk42v46ogOgIjQ/nU+P40/nQAAB5eSURBVDn2tTaj9aaH8z7W5gY35OeAPwBJ9yimxYsXXreYduZXbcTp3BJ98dEzLksxq9X/BqTkaqm9XZyujf1IgARIgARIoNwEKGCUmzDHJwESIAESKBsBuczddNu9qsqIiBe1WIUhWcRo7/oxPMFX4bL8MKSoapw5pfheSDMlb+Sob5fkYp0P/P3Wn7DP+kNW8UKPJyLGCa2fQ6PP7VjEkLKyrY2eWJnUbGvrW3kO2geHlHmnN4uIoauQ2Os257PVWF9dulXK0UraRyGtUuKFrE3e9YuvXIvf/fKOWOqIrqwjQp2kTrGRAAmQAAmQwFglQAFjrJ4s90UCJEACY5yANjEU0UIubTp9pBa3nUnEEKFCvqgPxxl+ugwD9uGfw/7woQWlZxSzfxEw3raego3c6SoG3DjGvRwiSrQ0enKKGPmmbLx+3WLM6OpW2xERw7TtWEUS+V3YNGAJK0khaWpE29qHCt6646iQNDPIsxNbfeoMfZ7CyqTms3B57xdeck2spOqzO3bia2vXY84H34cbVl2adSgR/LRfRj5zsi8JkAAJkAAJ1AoBChi1chJcBwmQAAmQgGMCEi4vvhZLzjsVly1d4Pi5anZMFjHED6PJ/58QwUICLsTw09U6E4Otn0IfZlRlqRJ9scd62vHc73H9A5qM6TERI1MqRr7ihSxABAxfKIRpvf6s6xn2uLG3vQ2HXXuP43Wn6+jElyP5OR29EYpYaPC6ipo/n4dFtFi++gfqEf/AkEqP+uoVi7KKE6tvvBM7//q6qlhSy2JfPhzYlwRIgARIYPwRoIAx/s6cOyYBEiCBuicgJp2S519vuf4iYkiJ1bisEXUWUtpTfBPE66JSZp3pXoJkAcNWlVLkv1IjJerpYMTZaR5snoRJ5gfV73V6SHecn4SuoCJ/SgWV5H1nexF7n9yIvicfgjcYwvS+9CKGFi/aTjwnZwlVJy99zsoocYPoyBM500qKF3oJEk3xhx078b6ZM3IKEvLvRarwzDrycFV+tVbTrZycEfuQAAmQAAmMbwIUMMb3+XP3JEACJEACFSYQjtjY1zscu8xrI0m5CFuWjZ4BKbFanRafQmIhklLqVa/KgAtuNGGa+dGYgCGf6XQKETEkK0aEmUDIQt9gYXva/c3FiMgyAEwYHkqAMuR2I+TzqOiVYqMv4gfWoov8Tnwx0oku+sxCYQuNvspFXmR7K0SYeHHXbpw0d3ZCt0e2dKoUk2+tXIaz5s9VZrdSwWTV8sXq/9lIgARIgARIoJ4IUMCop9PiWkmABEiABMYEAS1iiKGlfHuvK3l0NHvU/qolYugqJMP2PtjIZmhpwIcJmGIenyBgaBFDSr+KgFFM+de33gKe3vgi5uy7LkVEEJFBN/u0q/Hujx5V8veircmjPC0kckTSe3TT6TC1JF7I2qSEqqSWbL3v5oSIDF1SWHxixORTmqRgbevcDqlYwkYCJEACJEAC9USAAkY9nRbXSgIkQAIkMKYIDAcjKd/yS9RCNSMxXgj/EBEMIXMEhiSRRKMOPuD+55Tz0IaYYk4qkReDgZEQijxP7od3uhAIAp6uF3Bc5EFMt19IGOFAw9HY1XYu3vO3s3D8h4orgZppacneHfr/RYAS/4taalKJ5K09XSkRGLJGHYVxw8plVSknXEucuBYSIAESIIH6JkABo77Pj6snARIgARKoYwJyue/pDybsQKILJrf5IOJGNfwwdoZ/nFBGNT4SI97/QsqoJkdgSGqFXPIlokSCFiQSQ3w95Cef9ofnDPz2v010d8eFWgD4YOQB7DGOxjvm+9VwEyfa8HmBz19amEjiZE06XUTOQ6JlpOyt+JXUchPBQiQdMffUbfXa9aoE6+P33VzLS+faSIAESIAESCArAQoYfEFIgARIgARIoIoEak3EeClyFyw7pEQMES+0kacg0gKGG81wG02YZHwwlkKSrtJIIZU9ZB4RMH7xK2feEiJifPHy8gkYsp5JbVGT1VCk9sULWa+kjTy8pVOliOiKI9rI878f+9cqvu2cmgRIgARIgASKI0ABozh+fJoESIAESIAEiiYgEQq9Sead1YrEEAFDWtDuQQQSHRKfniG1SEyY8MBrtMcEDPGLiPfyiAdSiIjxn0+a+K+nnEU5eL02Vn+1fAKG+JJ43CZM04DspV6alE195k8v4vKlC1Rqye0bNqm/10vZ4XrhzHWSAAmQAAlUlgAFjMry5mwkQAIkQAIkkJaApIv4k6p1VEPEEAEjaPfCRjTtI9nMU0dhGHDjYNcnMLPtBNUvU8UO+SxfESNewEhXBSTexFPG/+Y1+aWoOHkFdTUS0zCUeOF21Y94ofenoy7k/5ecdyrFCycHzz4kQAIkQAI1TYACRk0fDxdHAiRAAiQwngikEzHyvfwXy2uf9QfssZ5WqSO2KqWarkWNPI9qPRUTcKwjrw7ZhxiUOvH2ePJpE0/8l5m2hGn8akRkkJ9vXF1aAUMLR1J9RIQLt8tZNEix7Pk8CZAACZAACZBAdgIUMPiGkAAJkAAJkEANEai2iPFa5JfotV/KIl5EYUkiyVTPsZhmn+KYnhYGAiFLVSjJ1JwKGPK82w1c+7XSCRhaaIn6XVC8cHy47EgCJEACJEACFSBAAaMCkDkFCZAACZAACeRDoJoihqSQDNtdWQUMccIw4IJUIpnlviSframICamyEgpb6Eny/dAD6RSSdOkjyZPNfI+NJYtL44Gho12CYYviRV6nys4kQAIkQAIkUBkCFDAqw5mzkAAJkAAJkEBeBKolYrwQ/iEiGBpJIbGSTDyjkRfyX2nig3GMe3le+1LPGUB7k0c9l07E+OGdLry9J+o5kUnE0D4Y8z4dwcc+Gm80mvdy1AMULwrjxqdIgARIgARIoJIEKGBUkjbnIgESIAESqHsCz+7YiW2d21V5yrPmz0VbS1PZ9lQNEePVyCb47VfS7klEg3hBoVABQw8uFT5cLgPd/mDCuCJgBILA/v2ZjTNlLVJC9WMfsXD8h4oTMLR4EY5I5EW04ggbCZAACZAACZBA7RGggFF7Z8IVkQAJkAAJ1CgBXdVhzt8chWf++Be0tjZjwy0rlZhRrtY3EEL/cKLHg75w9w+FMBgoTfqEXr828XSyHxcacbT78066Zuyjy5R29QViIoYIGD29QCBgwLLSR2G0tdloaQaOn12cgOFxGZjQ6gPFi6KOkQ+TAAmQAAmQQEUIUMCoCGZOQgIkQAIkUO8E+voH8dEzLlOCxQnHzYL8/8VXrlV/llvE6OkPpggV5RIx9lt/wtvWU7EyqpnOTaIvvEY73utaUvTRtja60eB1QYsY3/2BC4ODiVEQkRGdxuUana693cbffrhwAUPEi4mtPoQilpqfjQRIgARIgARIoLYJUMCo7fPh6kiABEiABGqEwDM7dirBYut9N8ciLt7c04WlV65VaSQb119X1pVWSsQYtPfgDWsrQnYvbCOc1oNCixeNmIbDXKeWZN8iYjT63NjfF8AN3zYRCuVO4/B4bCxZFMHBB+e/hAavifYmL8Sws9FXfvFC3pVHtnQq8Ut+2EiABEiABEiABPInQAEjf2Z8ggRIgARIYJwSOOWCq3D2/Lm4bOmCGAG5mM674CrcsHIZFsyfW1YyEqEQDImx5mgrRySGVCKR6IThyAAidigWjSHChQkP3EbU9+NQcx6ajOkl27OIGNv/aGLLExH09DoTMFZelX8KTZPPhZZGj0obqUTkxdrb7sXPHtyKWTNn4M2392HBaR/HyisWlYwbByIBEiABEiCB8UKAAsZ4OWnukwRIgARIoGgCcgmVy6hEW8hlVLfVa9dDhAxJJSlnsywb+/uCKuUhvonYMKnNp6IXQpHiDC0lMgHeLvxP3y9hZRmq1OKF3s+f/uTCs88ZGBq2s4oYEn3R0Q58/tL8BAwd6SFlXCsRebH6xjuV6evK5YuVwCXvycJLron9fznfF45NAiRAAiRAAmONAAWMsXai3A8JkAAJkEBZCYhYIekk8b4XImpse/o5PH7/d8s6twyeTcQQP4duf+EiRnwahz/yNsQPYwjvJOxJ0kYmmR8saeRF/AR/eM7A9h0uSCEQETEGBpGSTtLUZKN5pPhLPgJGpcULMX29fcOmmG+K3ufCZdfi5LmzEyJ5yv7icAISIAESIAESGAMEKGCMgUPkFkiABEiABCpHIN68c8m589Da0oS1t96Dyy8+GxedO68iCxERY19vAJGkEAltSlmIiBEvXiSPK74Y0kqZLpIJ1FtvAY8+5oJhGHCZQDhHRIlTAaPS4oWU2xV/FEkViX8vdu7aDREwtBlsRV4YTkICJEACJEACY4QABYwxcpDcBgmQAAmQQOUIiIgh365v2vy0KqUqQkalxAu9S/FvkHSSUogYupRptz91vMpRHZ1JyqhKi4oYBiIRC+myWQ4+yMaZZySm06Rbr65yImN43WZFtiRROSJWxKcVyXsj4oWU3S13ulFFNslJSIAESIAESKDCBChgVBg4pyMBEiABEiCBUhHIJGKIj0VHszdtlEb83CIOTGz1IhCy0DcYKtWyih5HR2FERQzAZZopIoZT8aKtyaOMOiWSQ/l7VKiJgPHWni6sW7NCzVjJsrsV2iKnIQESIAESIIGKE6CAUXHknJAESIAESIAESkcgk4ihK22IsWdylIbMrquXDAXC8A+FS7egEo2UIGLIel0mIpalyro6FS8kssTlMuB2mWq/lWxPdG7H8qvX4fKlC5Th64233aumj/dOqeR6OBcJkAAJkAAJjAUCFDDGwilyDyRAAiRAAuOaQL4ihnhlTGj1YWA4rH5quYmppzRJJ5FUkGDYwjEfyL5midqQyBIDBkxTBIzKihea5yNbOnHjrffAPzCkKpBI+V1JH2EjARIgARIgARIojAAFjMK48SkSIAESIAESqCkCTkUMicxobfSgdzCI4WBu/4ha2qSOGukfCmEwkL58qogXk9t8KupEhAuJvmAjARIgARIgARIYGwQoYIyNc+QuSIAESIAESACZRIzmBjfkZzgYUX4QmdJK6gFhttQX/ZlEaXjdFC/q4Ty5RhIgARIgARLIhwAFjHxosS8JkAAJkAAJ1DgBMavc1zusvCLi26Q2H3weE119AQRD9RV5kYw8nYhB8aLGX0wujwRIgARIgARKQIACRgkgcggSIAESIAESqCUC8SKGpFRMaPGqah6hsFTiqO8IDM05XsSQdBIRaBh5UUtvIddCAiRAAiRAAqUnQAGj9Ew5Igm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     },
     "metadata": {},
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    }
   ],
   "source": [
    "selected_method = 'Near Amount, 3 Day Range'\n",
    "\n",
    "df_filtered = filter_transactions(df=df, \n",
    "                            public_token=applicant_sample, \n",
    "                            min_exp_threshold=200,\n",
    "                            max_exp_threshold=15000,\n",
    "                            min_inc_threshold=200,\n",
    "                            max_inc_threshold=15000,\n",
    "                            start_date = '2047-01-10',\n",
    "                            end_date = '2052-12-10',\n",
    "                            )\n",
    "\n",
    "df_filtered['group'] = '0'\n",
    "grp = pd.Series(streams[selected_method])\n",
    "\n",
    "for applicant in applicants:\n",
    "    #df_filtered['group'][df_filtered['public_token']==applicant] = grp[grp.str[-36:] == applicant]\n",
    "\n",
    "    indices_to_update = df_filtered['public_token'] == applicant\n",
    "    values_to_set = grp[grp.str[-36:] == applicant]\n",
    "    df_filtered.loc[indices_to_update, 'group'] = values_to_set.values\n",
    "    \n",
    "\n",
    "df_filtered = df_filtered[~df_filtered['group'].str.startswith('-1')]\n",
    "\n",
    "df_filtered_viz = df_filtered\n",
    "\n",
    "\n",
    "str_grp = [str(x) for x in df_filtered_viz['group'].unique()]\n",
    "colors = plotly.colors.qualitative.Plotly*300\n",
    "#colors[1] = 'grey'\n",
    "color_map = dict(zip(str_grp, colors))\n",
    "# Create a list of colors for each point\n",
    "point_colors = [color_map[(str_grp)] for str_grp in df_filtered_viz['group']]\n",
    "\n",
    "\n",
    "date = df_filtered_viz['date_posted'].apply(lambda x: '\\n' + str(x))\n",
    "amt = df_filtered_viz['amount'].apply(lambda x: '\\n' + str(x))\n",
    "\n",
    "# Configure the trace.\n",
    "trace = go.Scatter3d(\n",
    "    x=df_filtered_viz['xcoord'],\n",
    "    y=df_filtered_viz['ycoord'], \n",
    "    z=df_filtered_viz['months_since_start'],#/8,\n",
    "    mode='markers',\n",
    "    #hovertext= df_filtered_viz['group'] + date + amt,\n",
    "    marker={\n",
    "        'size': 7,\n",
    "        'opacity': 0.8,\n",
    "        'color': point_colors\n",
    "    }\n",
    ")\n",
    "\n",
    "# Configure the layout.\n",
    "layout = go.Layout(\n",
    "    margin={'l': 0, 'r': 0, 'b': 0, 't': 0}\n",
    ")\n",
    "\n",
    "data = [trace]\n",
    "\n",
    "plot_figure = go.Figure(data=data, layout=layout)\n",
    "\n",
    "# Render the plot.\n",
    "plotly.offline.iplot(plot_figure)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "245e6c29-9671-43ac-9a51-17cb6941a5b3",
   "metadata": {},
   "source": [
    "## Comparing Recurring Payment Streams Detection Methods with Normalized Mutual Information (Figure 2.a)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8d3982c-da02-4613-9567-4fb7d8c59b74",
   "metadata": {},
   "source": [
    "Create payment stream groupings for a variety of recurring stream identification methods."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 272,
   "id": "b570652f-b575-4e95-ad79-c64b42f1238a",
   "metadata": {},
   "outputs": [],
   "source": [
    "approaches = {'Description-Only':\n",
    "              {'desc_match_params': ['exact'], # Only exact descriptions are matched\n",
    "               'amt_match_params': [1000000], # large amt parameters will capture all amounts\n",
    "               'time_match_params': [1000, 31]},   # large time parameters will capture all time connections\n",
    "              \n",
    "              'Exact Amount Only':\n",
    "              {'desc_match_params': ['any'], # ignore description\n",
    "               'amt_match_params': [1], # exact amount match only\n",
    "               'time_match_params': [1000, 31]},   # large time parameters will capture all time connections\n",
    "              \n",
    "              'Exact Amount, Exact Day':\n",
    "              {'desc_match_params': ['any'], # ignore description\n",
    "               'amt_match_params': [1], # exact amount match only\n",
    "               'time_match_params': [3, 1]},   # 3 month window, 1-day window\n",
    "\n",
    "              'Near Amount, 3 Day Range':\n",
    "              {'desc_match_params': ['any'], # ignore description\n",
    "               'amt_match_params': [50], # match amounts within $50\n",
    "               'time_match_params': [3, 3]},   # 3 month window, 1-day window\n",
    "\n",
    "              'Near Amount, 10 Day Range':\n",
    "              {'desc_match_params': ['any'], # ignore description\n",
    "               'amt_match_params': [50], # match amounts within $50\n",
    "               'time_match_params': [3, 10]}   # # 3 month window, 10-day window\n",
    "\n",
    "}\n",
    "\n",
    "streams = {key: [] for key in approaches}\n",
    "\n",
    "\n",
    "for approach, params in approaches.items():\n",
    "\n",
    "    for applicant in applicant_sample:\n",
    "        df_filtered = filter_transactions(df=df, \n",
    "                            public_token=applicant, \n",
    "                            min_exp_threshold=200,\n",
    "                            max_exp_threshold=15000,\n",
    "                            min_inc_threshold=200,\n",
    "                            max_inc_threshold=15000,\n",
    "                            start_date = '2047-01-10',\n",
    "                            end_date = '2052-12-10',\n",
    "                            )\n",
    "        stream = recurring_streams(df_filtered, \n",
    "                  min_recurrences=4, \n",
    "                  methods=params)\n",
    "        stream = [str(group) + applicant for group in stream]\n",
    "        \n",
    "        streams[approach].extend(stream)\n",
    "        "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9f87ea0b-03d2-4719-81d4-6b48bfe2ab8a",
   "metadata": {},
   "source": [
    "Display NMI for each pair of methods"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 273,
   "id": "6bb63123-a1b3-42ff-9c53-4b8fce1169c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "methods = list(streams.keys())\n",
    "n_methods = len(methods)\n",
    "\n",
    "# Initialize a matrix to store the NMI scores\n",
    "nmi_matrix = np.zeros((n_methods, n_methods))\n",
    "\n",
    "# Calculate NMI scores for each pair of methods\n",
    "for i in range(n_methods):\n",
    "    for j in range(n_methods):\n",
    "        #if i != j:  # Avoid redundant computation; NMI(i, j) == NMI(j, i)\n",
    "        nmi_score = normalized_mutual_info_score(streams[methods[i]], streams[methods[j]])\n",
    "        nmi_matrix[i, j] = nmi_score\n",
    "        nmi_matrix[j, i] = nmi_score  # Symmetric matrix\n",
    "\n",
    "# Plot the heatmap\n",
    "plt.figure(figsize=(10, 8))\n",
    "sns.heatmap(nmi_matrix, cmap=\"Blues\", xticklabels=methods, yticklabels=methods, annot=True, fmt=\".2f\")#, cbar_kws={'label': 'NMI'})\n",
    "#sns.heatmap(nmi_matrix, xticklabels=methods, yticklabels=methods, annot=True, cmap='YlGnBu')\n",
    "plt.title('Normalized Mutual Information Heatmap')\n",
    "plt.savefig('images/Figure-2a.png', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff73cd1e-9f74-4372-bec2-2f1941662d62",
   "metadata": {},
   "source": [
    "## The Tradeoff Between Total Recurring Streams Detected and False Positives"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "id": "eaf63514-2f5a-4ba0-8612-e96d1312b53d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Description-Only</th>\n",
       "      <td>0.691686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exact Amount Only</th>\n",
       "      <td>0.670901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Exact Amount, Exact Day</th>\n",
       "      <td>0.174365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Near Amount, 3 Day Range</th>\n",
       "      <td>0.260970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Near Amount, 10 Day Range</th>\n",
       "      <td>0.643187</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                  0\n",
       "Description-Only           0.691686\n",
       "Exact Amount Only          0.670901\n",
       "Exact Amount, Exact Day    0.174365\n",
       "Near Amount, 3 Day Range   0.260970\n",
       "Near Amount, 10 Day Range  0.643187"
      ]
     },
     "execution_count": 278,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate the percentage of transactions that are classified as recurring for each method\n",
    "pct_recurring = []\n",
    "for desc, stream_ids in streams.items():\n",
    "    total_pmt = len(stream_ids)\n",
    "    n_recurring = np.sum([i[0:2]!='-1' for i in stream_ids])\n",
    "    pct_recurring.append(n_recurring / total_pmt)\n",
    "    \n",
    "pd.DataFrame(pct_recurring, streams.keys())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8be52e4-6398-4d5d-8786-b6722150d8ed",
   "metadata": {},
   "source": [
    "The code below will save a Excel document in the private folder for each recurring payment identification method.\n",
    "\n",
    "Each Excel document will contain a random sample of 20 payment streams identified by that method.\n",
    "\n",
    "These samples will be used to assess the accuracy of each method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "id": "6e2e9b1f-bf7e-4417-8dd4-6608b7a8ad0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "for method in methods:\n",
    "    df_filtered = filter_transactions(df=df, \n",
    "                            public_token=applicant_sample, \n",
    "                            min_exp_threshold=200,\n",
    "                            max_exp_threshold=15000,\n",
    "                            min_inc_threshold=200,\n",
    "                            max_inc_threshold=15000,\n",
    "                            start_date = '2047-01-10',\n",
    "                            end_date = '2052-12-10',\n",
    "                            )\n",
    "\n",
    "    df_filtered['group'] = '0'\n",
    "    grp = pd.Series(streams[method])\n",
    "\n",
    "    for applicant in applicants:\n",
    "    \n",
    "        indices_to_update = df_filtered['public_token'] == applicant\n",
    "        values_to_set = grp[grp.str[-36:] == applicant]\n",
    "        df_filtered.loc[indices_to_update, 'group'] = values_to_set.values\n",
    "        \n",
    "    \n",
    "    df_filtered = df_filtered[~df_filtered['group'].str.startswith('-1')]\n",
    "\n",
    "\n",
    "    late_and_missed_pmt_df = label_missed_payments(df_filtered, df_filtered['group'], 3).sort_values(['group', 'date_posted'])\n",
    "\n",
    "    # Filter the dataframe down to 20 random samples of payment streams\n",
    "    grp_sample = np.random.choice(late_and_missed_pmt_df['group'], 20)\n",
    "    sample_df = late_and_missed_pmt_df[late_and_missed_pmt_df['group'].isin(grp_sample)]\n",
    "\n",
    "    sample_df.to_excel('private/' + method + '.xlsx')\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "946e778c-97c1-48ba-9554-6c1f69b63359",
   "metadata": {},
   "source": [
    "Next, I manually evaluate each of the payment streams in each Excel document. \n",
    "\n",
    "The number of accurate payment streams is recorded below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 263,
   "id": "a917cc13-ba2f-44a0-92d4-291698f1fd3b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.8666666666666667, 0.6470588235294118, 0.9166666666666666, 0.8, 0.625]"
      ]
     },
     "execution_count": 263,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Mannualy sampled cases\n",
    "\n",
    "accurate_streams = [13/15,\n",
    "                    11/17,\n",
    "                    11/12,\n",
    "                    12/15, \n",
    "                    10/16  \n",
    "                   ]\n",
    "\n",
    "accurate_streams"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44097a27-64f0-4c7f-8c39-01938ca8ad8e",
   "metadata": {},
   "source": [
    "Display the Tradeoff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 279,
   "id": "10a694ec-40a7-4223-bec7-75fb0ae5f343",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(pct_recurring, accurate_streams, color='blue')\n",
    "\n",
    "# Add labels to each point\n",
    "for i, label in enumerate(streams.keys()):\n",
    "    plt.annotate(label, (pct_recurring[i], accurate_streams[i]), textcoords=\"offset points\", xytext=(5,5), ha='center')\n",
    "\n",
    "# Set the title and labels\n",
    "plt.title('Pct of Transactions Classified as Recurring vs Accurate Streams')\n",
    "plt.xlabel('Recurring Transactions / Total Transactions')\n",
    "plt.ylabel('Accurate Streams / Total Streams')\n",
    "\n",
    "# Show the plot\n",
    "plt.savefig('images/Figure-2b.png', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2439d8db-79c1-4281-8344-cb52bca8bc74",
   "metadata": {},
   "source": [
    "## Late and Missed Payment Detection"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76093a8d-474e-4573-a725-8468651a11a1",
   "metadata": {},
   "source": [
    "The code below saves the full recurring payment stream data will all labeled late and missed payments for the sample applicants."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 281,
   "id": "8bbb650f-4307-42df-ab73-bbe3e986aac1",
   "metadata": {},
   "outputs": [],
   "source": [
    "selected_method = 'Near Amount, 10 Day Range'\n",
    "\n",
    "df_filtered = filter_transactions(df=df, \n",
    "                            public_token=applicant_sample, \n",
    "                            min_exp_threshold=200,\n",
    "                            max_exp_threshold=15000,\n",
    "                            min_inc_threshold=200,\n",
    "                            max_inc_threshold=15000,\n",
    "                            start_date = '2047-01-10',\n",
    "                            end_date = '2052-12-10',\n",
    "                            )\n",
    "\n",
    "df_filtered['group'] = '0'\n",
    "grp = pd.Series(streams[selected_method])\n",
    "\n",
    "for applicant in applicants:\n",
    "    #df_filtered['group'][df_filtered['public_token']==applicant] = grp[grp.str[-36:] == applicant]\n",
    "\n",
    "    indices_to_update = df_filtered['public_token'] == applicant\n",
    "    values_to_set = grp[grp.str[-36:] == applicant]\n",
    "    df_filtered.loc[indices_to_update, 'group'] = values_to_set.values\n",
    "    \n",
    "\n",
    "df_filtered = df_filtered[~df_filtered['group'].str.startswith('-1')]\n",
    "\n",
    "\n",
    "late_and_missed_pmt_df = label_missed_payments(df_filtered, df_filtered['group'], 3).sort_values(['group', 'date_posted'])\n",
    "\n",
    "late_and_missed_pmt_df.to_excel('private/full_data.xlsx')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b12ce2d-0c67-48cc-9645-af419e4de92f",
   "metadata": {},
   "source": [
    "The excel document is saved for reproducablity and read back in below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "id": "9033ce26-0336-4cfa-bcb7-b03ca9c3b84c",
   "metadata": {},
   "outputs": [],
   "source": [
    "edited_df = df = pd.read_excel('private/full_data_edited.xlsx')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "56d90985-f029-4cd9-8649-e190a1369715",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "bc772ac4-678e-4cab-bc3c-f46e19ca20b5",
   "metadata": {},
   "source": [
    "Generate the Distribution of Late Payments Chart"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 283,
   "id": "2c73a566-3c0a-4a49-9f9c-40d2fff564e5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "min_value = int(edited_df['days_late'].min())\n",
    "max_value = int(edited_df['days_late'].max())\n",
    "\n",
    "\n",
    "# Plot the histogram\n",
    "#edited_df['days_late'].plot(kind='hist', bins=bins, rwidth=0.8)\n",
    "fig, ax1 = plt.subplots()\n",
    "hist, bins, _ = plt.hist(edited_df['days_late'], bins=bins, rwidth=0.9, color='lightblue')\n",
    "\n",
    "total_pmts = np.sum(hist)\n",
    "\n",
    "late_pmts = []\n",
    "for i in range(len(hist)):\n",
    "    if bins[i] <=0:\n",
    "        late_pmts.append(0)\n",
    "    else:\n",
    "        late_pmts.append(hist[i])\n",
    "\n",
    "late_pmts = np.cumsum(late_pmts)\n",
    "late_pmts = [(np.max(late_pmts) - i)/total_pmts for i in late_pmts]\n",
    "#late_pmts.append(0)\n",
    "\n",
    "\n",
    "bin_centers = 0.5 * (bins[:-1] + bins[1:])\n",
    "\n",
    "\n",
    "mask = bin_centers > 1\n",
    "filtered_bin_centers = bin_centers[mask]\n",
    "filtered_late_pmts = np.array(late_pmts)[mask]\n",
    "\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(filtered_bin_centers, filtered_late_pmts, marker='o', color='blue', label='Cumulative Count')\n",
    "\n",
    "for x, y in zip(filtered_bin_centers, filtered_late_pmts):\n",
    "    ax2.annotate(f'{y:.2f}', xy=(x, y), xytext=(5, 5), textcoords='offset points', fontsize=8, color='blue')\n",
    "\n",
    "\n",
    "# Customize the plot\n",
    "ax1.set_xlabel('Days Late (negative=Early)')\n",
    "#ax1.set_ylabel('Payments')\n",
    "#ax2.set_ylabel('Percentage Late')\n",
    "#ax1.set_title('Histogram of Series')\n",
    "\n",
    "# Add legends\n",
    "ax1.legend(['Pmt Count'], loc='center left')\n",
    "ax2.legend(['Late Pmt/ Total'], loc='center right')\n",
    "\n",
    "#ax1.set_xticks(bin_centers)\n",
    "#ax1.set_xticklabels([center for center in bin_centers if (center==0)])\n",
    "\n",
    "\n",
    "# Show the plot\n",
    "plt.savefig('images/Figure-3a.png', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2ac816ec-5992-4795-8d6a-8ce6efff1932",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.11.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}