2018-05-04 Graphs for Thai Union.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "import petl\n",
    "import scipy\n",
    "import time\n",
    "from matplotlib import pyplot as plt\n",
    "from datetime import datetime, timedelta\n",
    "from dateutil.parser import parse as parse_date\n",
    "from scipy import interpolate, signal\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "C2_TANK_1 = 'C2 - Tank 1'\n",
    "C1_TANK_A = 'C1 - Row A'\n",
    "C1_TANK_B = 'C1 - Row B'\n",
    "C1_TANK_F = 'C1 - Row F'\n",
    "C1_TANK_G = 'C1 - Row G'\n",
    "\n",
    "ALL_TANKS = [C2_TANK_1, C1_TANK_A, C1_TANK_B, C1_TANK_F, C1_TANK_G]\n",
    "\n",
    "petl.config.display_limit = 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class='petl'>\n",
       "<thead>\n",
       "<tr>\n",
       "<th>Time</th>\n",
       "<th>tank</th>\n",
       "<th>temperature</th>\n",
       "<th>dO</th>\n",
       "<th>pH</th>\n",
       "</tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td>2018-05-02 15:20:00</td>\n",
       "<td>C2 - Tank 1</td>\n",
       "<td style='text-align: right'>31.6</td>\n",
       "<td style='text-align: right'>5.41</td>\n",
       "<td style='text-align: right'>8.11</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 15:40:00</td>\n",
       "<td>C1 - Row G</td>\n",
       "<td style='text-align: right'>30.2</td>\n",
       "<td style='text-align: right'>5.15</td>\n",
       "<td style='text-align: right'>7.66</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 15:40:00</td>\n",
       "<td>C1 - Row F</td>\n",
       "<td style='text-align: right'>30.2</td>\n",
       "<td style='text-align: right'>5.04</td>\n",
       "<td style='text-align: right'>7.63</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 15:40:00</td>\n",
       "<td>C1 - Row B</td>\n",
       "<td style='text-align: right'>29.7</td>\n",
       "<td style='text-align: right'>5.1</td>\n",
       "<td style='text-align: right'>7.6</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 15:40:00</td>\n",
       "<td>C1 - Row A</td>\n",
       "<td style='text-align: right'>29.6</td>\n",
       "<td style='text-align: right'>5.0</td>\n",
       "<td style='text-align: right'>7.6</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<p><strong>...</strong></p>"
      ],
      "text/plain": [
       "+---------------------------------------+----------------+-------------+------+------+\n",
       "| Time                                  | tank           | temperature | dO   | pH   |\n",
       "+=======================================+================+=============+======+======+\n",
       "| datetime.datetime(2018, 5, 2, 15, 20) | u'C2 - Tank 1' |        31.6 | 5.41 | 8.11 |\n",
       "+---------------------------------------+----------------+-------------+------+------+\n",
       "| datetime.datetime(2018, 5, 2, 15, 40) | u'C1 - Row G'  |        30.2 | 5.15 | 7.66 |\n",
       "+---------------------------------------+----------------+-------------+------+------+\n",
       "| datetime.datetime(2018, 5, 2, 15, 40) | u'C1 - Row F'  |        30.2 | 5.04 | 7.63 |\n",
       "+---------------------------------------+----------------+-------------+------+------+\n",
       "| datetime.datetime(2018, 5, 2, 15, 40) | u'C1 - Row B'  |        29.7 |  5.1 |  7.6 |\n",
       "+---------------------------------------+----------------+-------------+------+------+\n",
       "| datetime.datetime(2018, 5, 2, 15, 40) | u'C1 - Row A'  |        29.6 |  5.0 |  7.6 |\n",
       "+---------------------------------------+----------------+-------------+------+------+\n",
       "..."
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ysi_data = (\n",
    "    petl.fromcsv('./Downloads/Thai Union Comparison Data 2018-05-02 - 2018-05-03  - Sheet1.csv')\n",
    "    .rename('Osmo YSI Temperature', 'temperature')\n",
    "    .rename('Osmo YSI pH', 'pH')\n",
    "    .rename('Osmo YSI dO', 'dO')\n",
    "    .rename('Tank', 'tank')\n",
    "    .cut('Time', 'tank', 'temperature', 'dO', 'pH')\n",
    "    .convert(['pH', 'dO', 'temperature'], float)\n",
    "    .convert('Time', parse_date)\n",
    "    .selectnotnone('temperature')  # Drop rows that don't have any Osmo YSI data\n",
    ")\n",
    "ysi_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class='petl'>\n",
       "<thead>\n",
       "<tr>\n",
       "<th>Time</th>\n",
       "<th>tank</th>\n",
       "<th>temperature</th>\n",
       "<th>dO</th>\n",
       "<th>pH</th>\n",
       "<th>NH3</th>\n",
       "</tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td>2018-05-02 06:00:00</td>\n",
       "<td>C2 - Tank 1</td>\n",
       "<td style='text-align: right'>29.3</td>\n",
       "<td style='text-align: right'>5.39</td>\n",
       "<td style='text-align: right'>8.0</td>\n",
       "<td style='text-align: right'>0.04</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 08:00:00</td>\n",
       "<td>C1 - Row G</td>\n",
       "<td style='text-align: right'>29.2</td>\n",
       "<td style='text-align: right'>5.41</td>\n",
       "<td style='text-align: right'>7.7</td>\n",
       "<td style='text-align: right'>0.03</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 08:00:00</td>\n",
       "<td>C1 - Row F</td>\n",
       "<td style='text-align: right'>29.0</td>\n",
       "<td style='text-align: right'>5.4</td>\n",
       "<td style='text-align: right'>7.7</td>\n",
       "<td style='text-align: right'>0.03</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 08:00:00</td>\n",
       "<td>C1 - Row B</td>\n",
       "<td style='text-align: right'>29.0</td>\n",
       "<td style='text-align: right'>5.4</td>\n",
       "<td style='text-align: right'>7.7</td>\n",
       "<td style='text-align: right'>0.03</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2018-05-02 15:20:00</td>\n",
       "<td>C2 - Tank 1</td>\n",
       "<td style='text-align: right'>31.1</td>\n",
       "<td style='text-align: right'>5.39</td>\n",
       "<td style='text-align: right'>8.0</td>\n",
       "<td style='text-align: right'>0.08</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<p><strong>...</strong></p>"
      ],
      "text/plain": [
       "+---------------------------------------+----------------+-------------+------+-----+------+\n",
       "| Time                                  | tank           | temperature | dO   | pH  | NH3  |\n",
       "+=======================================+================+=============+======+=====+======+\n",
       "| datetime.datetime(2018, 5, 2, 6, 0)   | u'C2 - Tank 1' |        29.3 | 5.39 | 8.0 | 0.04 |\n",
       "+---------------------------------------+----------------+-------------+------+-----+------+\n",
       "| datetime.datetime(2018, 5, 2, 8, 0)   | u'C1 - Row G'  |        29.2 | 5.41 | 7.7 | 0.03 |\n",
       "+---------------------------------------+----------------+-------------+------+-----+------+\n",
       "| datetime.datetime(2018, 5, 2, 8, 0)   | u'C1 - Row F'  |        29.0 |  5.4 | 7.7 | 0.03 |\n",
       "+---------------------------------------+----------------+-------------+------+-----+------+\n",
       "| datetime.datetime(2018, 5, 2, 8, 0)   | u'C1 - Row B'  |        29.0 |  5.4 | 7.7 | 0.03 |\n",
       "+---------------------------------------+----------------+-------------+------+-----+------+\n",
       "| datetime.datetime(2018, 5, 2, 15, 20) | u'C2 - Tank 1' |        31.1 | 5.39 | 8.0 | 0.08 |\n",
       "+---------------------------------------+----------------+-------------+------+-----+------+\n",
       "..."
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tuh_data = (\n",
    "    petl.fromcsv('./Downloads/Thai Union Comparison Data 2018-05-02 - 2018-05-03  - Sheet1.csv')\n",
    "    .rename('TUH YSI Temperature', 'temperature')\n",
    "    .rename('TUH YSI dO', 'dO')\n",
    "    .rename('TUH Reagent pH', 'pH')\n",
    "    .rename('TUH Calculated NH3', 'NH3')\n",
    "    .rename('Tank', 'tank')\n",
    "    .cut('Time', 'tank', 'temperature', 'dO', 'pH', 'NH3')\n",
    "    .convert(['pH', 'dO', 'NH3', 'temperature'], float)\n",
    "    .convert('Time', parse_date)\n",
    "    .selectnotnone('pH')  # Drop rows that don't have any TUH data\n",
    ")\n",
    "tuh_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "node_to_tank = {\n",
    "    60: C2_TANK_1,\n",
    "    79: C2_TANK_1,\n",
    "    86: C1_TANK_A,\n",
    "    85: C1_TANK_A,\n",
    "    71: C1_TANK_B,\n",
    "    65: C1_TANK_B,\n",
    "    76: C1_TANK_F,\n",
    "    53: C1_TANK_F,\n",
    "    78: C1_TANK_G,\n",
    "    81: C1_TANK_G\n",
    "}\n",
    "\n",
    "BLUE_NODES = [78, 76, 71, 86, 79]\n",
    "WHITE_NODES = [81, 53, 65, 85, 60]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Node data\n",
    "\n",
    "Query was:\n",
    "```\n",
    "select * from calculation\n",
    "where \n",
    "    node_id in (60, 79, 86, 85, 71, 65, 76, 53, 78, 81)\n",
    "    and create_date > \"2018-05-01 12:00\"\n",
    "order by create_date desc\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "55574\n"
     ]
    }
   ],
   "source": [
    "# Thailand is +7 compared to UTC\n",
    "timezone_offset = timedelta(hours=7)\n",
    "node_data = (\n",
    "    petl.fromcsv('./Downloads/query_result.csv')\n",
    "    .convert(['create_date'], lambda _date: parse_date(_date) + timezone_offset)\n",
    "    .convert(['node_id'], int)\n",
    "    .convert(['calculated_value'], float)\n",
    "    # Drop negative temperatures:\n",
    "    .select(lambda row: row.calculated_value >= 0)\n",
    "    # Drop un-averaged temperature data from white nodes:\n",
    "    .select(lambda row: row.node_id in BLUE_NODES or row.calculation_dimension != 'temperature') \n",
    "    .addfield('tank', lambda row: node_to_tank[row.node_id])\n",
    ")\n",
    "print(node_data.nrows())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class='petl'>\n",
       "<thead>\n",
       "<tr>\n",
       "<th>calculation_id</th>\n",
       "<th>node_id</th>\n",
       "<th>sensor_index</th>\n",
       "<th>calibration_id</th>\n",
       "<th>reading_id</th>\n",
       "<th>calculated_value</th>\n",
       "<th>calculation_dimension</th>\n",
       "<th>create_date</th>\n",
       "<th>update_date</th>\n",
       "<th>aggregate_date</th>\n",
       "<th>tank</th>\n",
       "</tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "<tr>\n",
       "<td>2854706</td>\n",
       "<td style='text-align: right'>78</td>\n",
       "<td>10</td>\n",
       "<td>0</td>\n",
       "<td>1001997</td>\n",
       "<td style='text-align: right'>28.1739</td>\n",
       "<td>temperature</td>\n",
       "<td>2018-05-04 12:24:28</td>\n",
       "<td>2018-05-04 05:24:28</td>\n",
       "<td>0000-00-00 00:00:00</td>\n",
       "<td>C1 - Row G</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2854707</td>\n",
       "<td style='text-align: right'>78</td>\n",
       "<td>0</td>\n",
       "<td>0</td>\n",
       "<td>1001997</td>\n",
       "<td style='text-align: right'>5.42575</td>\n",
       "<td>dO</td>\n",
       "<td>2018-05-04 12:24:28</td>\n",
       "<td>2018-05-04 05:24:28</td>\n",
       "<td>0000-00-00 00:00:00</td>\n",
       "<td>C1 - Row G</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2854708</td>\n",
       "<td style='text-align: right'>78</td>\n",
       "<td>3</td>\n",
       "<td>0</td>\n",
       "<td>1001997</td>\n",
       "<td style='text-align: right'>5.99984</td>\n",
       "<td>dO</td>\n",
       "<td>2018-05-04 12:24:28</td>\n",
       "<td>2018-05-04 05:24:28</td>\n",
       "<td>0000-00-00 00:00:00</td>\n",
       "<td>C1 - Row G</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2854704</td>\n",
       "<td style='text-align: right'>53</td>\n",
       "<td>0</td>\n",
       "<td>0</td>\n",
       "<td>1001996</td>\n",
       "<td style='text-align: right'>0.0</td>\n",
       "<td>NH3</td>\n",
       "<td>2018-05-04 12:24:25</td>\n",
       "<td>2018-05-04 05:24:25</td>\n",
       "<td>0000-00-00 00:00:00</td>\n",
       "<td>C1 - Row F</td>\n",
       "</tr>\n",
       "<tr>\n",
       "<td>2854705</td>\n",
       "<td style='text-align: right'>53</td>\n",
       "<td>3</td>\n",
       "<td>0</td>\n",
       "<td>1001996</td>\n",
       "<td style='text-align: right'>8.21168</td>\n",
       "<td>pH</td>\n",
       "<td>2018-05-04 12:24:25</td>\n",
       "<td>2018-05-04 05:24:25</td>\n",
       "<td>0000-00-00 00:00:00</td>\n",
       "<td>C1 - Row F</td>\n",
       "</tr>\n",
       "</tbody>\n",
       "</table>\n",
       "<p><strong>...</strong></p>"
      ],
      "text/plain": [
       "+----------------+---------+--------------+----------------+------------+------------------+-----------------------+-------------------------------------------+------------------------+------------------------+--------------+\n",
       "| calculation_id | node_id | sensor_index | calibration_id | reading_id | calculated_value | calculation_dimension | create_date                               | update_date            | aggregate_date         | tank         |\n",
       "+================+=========+==============+================+============+==================+=======================+===========================================+========================+========================+==============+\n",
       "| u'2854706'     |      78 | u'10'        | u'0'           | u'1001997' |          28.1739 | u'temperature'        | datetime.datetime(2018, 5, 4, 12, 24, 28) | u'2018-05-04 05:24:28' | u'0000-00-00 00:00:00' | 'C1 - Row G' |\n",
       "+----------------+---------+--------------+----------------+------------+------------------+-----------------------+-------------------------------------------+------------------------+------------------------+--------------+\n",
       "| u'2854707'     |      78 | u'0'         | u'0'           | u'1001997' |          5.42575 | u'dO'                 | datetime.datetime(2018, 5, 4, 12, 24, 28) | u'2018-05-04 05:24:28' | u'0000-00-00 00:00:00' | 'C1 - Row G' |\n",
       "+----------------+---------+--------------+----------------+------------+------------------+-----------------------+-------------------------------------------+------------------------+------------------------+--------------+\n",
       "| u'2854708'     |      78 | u'3'         | u'0'           | u'1001997' |          5.99984 | u'dO'                 | datetime.datetime(2018, 5, 4, 12, 24, 28) | u'2018-05-04 05:24:28' | u'0000-00-00 00:00:00' | 'C1 - Row G' |\n",
       "+----------------+---------+--------------+----------------+------------+------------------+-----------------------+-------------------------------------------+------------------------+------------------------+--------------+\n",
       "| u'2854704'     |      53 | u'0'         | u'0'           | u'1001996' |              0.0 | u'NH3'                | datetime.datetime(2018, 5, 4, 12, 24, 25) | u'2018-05-04 05:24:25' | u'0000-00-00 00:00:00' | 'C1 - Row F' |\n",
       "+----------------+---------+--------------+----------------+------------+------------------+-----------------------+-------------------------------------------+------------------------+------------------------+--------------+\n",
       "| u'2854705'     |      53 | u'3'         | u'0'           | u'1001996' |          8.21168 | u'pH'                 | datetime.datetime(2018, 5, 4, 12, 24, 25) | u'2018-05-04 05:24:25' | u'0000-00-00 00:00:00' | 'C1 - Row F' |\n",
       "+----------------+---------+--------------+----------------+------------+------------------+-----------------------+-------------------------------------------+------------------------+------------------------+--------------+\n",
       "..."
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "petl.config.display_limit = 5\n",
    "node_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "tanks = ALL_TANKS\n",
    "tank_to_color = {C2_TANK_1:'red', C1_TANK_A: 'green', C1_TANK_B: 'blue', C1_TANK_F: 'orange', C1_TANK_G: 'purple'}\n",
    "dimensions = ['dO', 'temperature', 'pH', 'NH3']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def average_rows(key, rows):\n",
    "    if not rows:\n",
    "        return []\n",
    "    rows = list(rows)\n",
    "    _date = rows[len(rows) / 2].create_date\n",
    "    return [\n",
    "        (sum(row.calculated_value for row in rows) / len(rows), _date)\n",
    "    ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_points_to_average = 30\n",
    "\n",
    "node_data_by_tank_and_dimension = {\n",
    "    tank_id: {\n",
    "        dimension: (\n",
    "            node_data\n",
    "            .selecteq('tank', tank_id)\n",
    "            .selecteq('calculation_dimension', dimension)\n",
    "            .addrownumbers()\n",
    "            .addfield('group', lambda row: row.row / data_points_to_average)\n",
    "            .rowgroupmap('group', average_rows, header=['calculated_value', 'create_date'])\n",
    "            .cache()\n",
    "        )\n",
    "        for dimension in dimensions\n",
    "    }\n",
    "    for tank_id in tanks\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Full range\n",
    "min_time = datetime(2018,5,2,4)\n",
    "max_time = datetime(2018,5,4,14)\n",
    "\n",
    "# Range starting 5/3\n",
    "# min_time = datetime(2018,5,3,4)\n",
    "# max_time = datetime(2018,5,4,16)\n",
    "\n",
    "# Cuts to narrow in on valid dO\n",
    "# min_time = datetime(2018,5,3,0)\n",
    "# max_time = datetime(2018,5,3,18)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_axis_by_dimension = {\n",
    "    'dO': (0, 10),\n",
    "    'temperature': (23, 35),\n",
    "    'pH': (6.5, 9.5),\n",
    "    'NH3': (-0.1, 0.2),\n",
    "}\n",
    "thresholds_by_dimension = {\n",
    "    'dO': (4, 10),\n",
    "    'temperature': (25, 33),\n",
    "    'pH': (7.5, 8.5),\n",
    "    'NH3': (0, 0.1),\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1nCh4gZJaSnrJWttC0jFJ485/kbV2lrW2lbW21ZAhQ7ydEXBMdHS0Tp8+rV27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\nTVjgSZIkSVJN/D+4MDOgzXIDuAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f90f890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+d0RPP12nuro6HTlyJOxnfX29oqOjFRcXF9r27Nmj4uJixcXFaeTIkRo1apRG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\n8+r6AAAAADDU9MkzeGaWIWmupHfM7Gp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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e601d50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XrtRPf/pT7dq1S2PHjtX48eM1fvx4ZWRkEP4AwAc4k6Pdq66u1g9/+ENt27ZN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\nqj2vqCgwHwDqw3kDABAJhD2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DdvUObesd2tYbtKt3aFtvRHO7ejaM0zl3QNJeMxsRnDVX\n0ofh65hZbzOz4PTEYD0FXtUEAAAAAB2F13fjvEnSr4J34vxY0tVmdq0kOeeWSLpC0nVmVinphKSv\nOq+6GgEAAACgA/E07DnnNkiq26W5JGz5k5Ke9LKGVhKVY3B9grb1Bu3qHdrWG7Srd2hb79C23qBd\nvUPbeiNq29Wza/YAAAAAAJHj5aMXAAAAAAAR4ruwZ2b/bGYfmdkOM1sUNn+ZmX1iZhuCr+wGvj/I\nzN4Lfv+3wesNZWb/aWYfmtlGM/s/Mzunmfs3M7vfzLaZ2RYzu7m1j91LUdCuPzezQ2aWX2f+w2a2\nNfj9P5hZamsed1uI4rbNNrO1wX3nBW+i1K542LbXmtmm4HffMbOMBr7/dTPbHnx9PWx+TvD7O8zs\nxzU3qmovorhd481safA8u9XMvtTax+61KGjbP5tZkZn9qc78XwXryg+eM+Ja87i9FsXtOtfM1od9\nf2hrHndb8Kptw5Z/ycycBR7pVd/3fXmelaK6bdv1uTYK2rVtz7POOd+8JHWStFPSYEnxkv4uKSO4\nbJmkK5qwjRcVuFGMFLi+8Lrg9GxJScHp6yT9tpn7v1rS85Jigp97Rrq92ku7BpfNkDReUn6d+RdI\nig1OPyjpwUi3l4/a9k1JFwanL5KUG+n2iqK2TQlb54uS/lzPd9MUuDFVmqSzgtNnBZe9L2mSJJP0\nek07t4dXlLfrf0v6QXA6RlL3SLdXe2rb4LK5ki6V9Kc68y8K/ryapF/XbLc9vKK8XbdJGhWcvl7S\nski3V7S0bfBzV0krFXhu84R6vuvL82w7aNt2e66NdLsG12nT86zfevYmStrhnPvYOVch6TeSLmvq\nl4N/9ZkjaXlw1nOSLpck59wK51xZcP5aSf2auf/rJH3fOVcd3N6hZh1ZZEW6XeWcWympsJ75bzrn\nKk/3/SgWtW0ryUlKCU53k7S/qXVFCS/btiRs1S4KtFVd/yTpL865QufcUUl/kfTPZna2Ar8grnWB\ns/vzNdttJ6KyXYPLviHpgeC2ql2UPbO1CSLdtnLO/Z+kY/XMf80FKfBLdHs610Ztu4rzbINtG3Sf\nAn/ILW9gE349z0pR2rbBZe35XBvpdm3z86zfwl5fSXvDPu8LzqtxvwWGtD1uZp3r+X66pKKw8FD3\n+zW+qcBfiZqz/yGSrrTAcLjXzWzY6Q8nakS6XZvqGy38fiREc9veKulhM9v7/9u7uxAryjiO49+/\nCBJUmCEVaS+K0htZphLVhZVQSAXRpUmmXvRCgXURYlTQzVJSCRVBVjdFxmKRYJT0YgmKmVBadqPW\nRSJR3okpmU8X8yx7XPfo7nHXZ874/cBh58yZZ55nfnt4dp8z88wBVgLLh1m+tFHNNiIej4g9wEvA\nYJdlt6v/0rzcrl11V8tco/8S7hejuiyuNyIuGtaRlVc621PKlxUtBD7vpHwhdc51KfBZRPxBlWvP\nMMuXNmrZRsRMYHJKaX0H9Xd7Pws1zbYBfW3pXE9ppPvZpg32TmY5cBUwm+qU9DOd7CQiHqT6OomX\nh1l0HHA4pTQLeBt4t5P6a6h0rn3lVwBHgQ86KV9TpbN9FFiWUpoMLAPe6aT+mjrtbFNKb6SUpuay\nz45s87pWyVzHUn0KujmlNBPYQvUhRVPU5T37JvBdSmlTh+XrpnSuy4D5KaVJwHvAK8Otv8Y6zjYi\nxlBl8fToNK3rlcy2yX1tXd6zI9rPNm2wtw+Y3PJ8Ul5HSml/PjN6hKpDnQMQEV/kSZirgQPA+IgY\nO7B83nYesAK4L+9nyPVTjfw/zsufANd3fJRnXulcTyoiFgH3AAvyqe9uUudsH6L/PdvbV38XGdVs\nW6xh8MuD2tW/j+MvzWi337qqa64HgEMc/56dOfzDK6p0ticVEc8DE4Gnhlu2sFrmGhETgRkppa15\n1UfALUM/rFoYrWzPA64DNkbE71Rz79bFiTe8aGo/C/XNttv72tK5ntSo9LOpBpMlR+pB9WnDXuBK\n+iddXptfuyT/DOA1oKfNPno5ftLlY3n5RqoJndM6rL8HWJyX5wLbSufVLbm27OMKTryJyN3ALmBi\n6ZwamO2vwNy8fCewvXReNcp2Wss29wI/DFJ2AvAb1cT2C/LyhPzawBsHzC+dV0NyXQPckZcXAb2l\n8+qmbFten8uJNw5YCmwGzimdU1Nyze36G5ieny8B1pbOqy7ZDthmI+1vItK4frYLsu3avrZ0ri2v\nH9cf5HWj0s8WD30Ufonzqe5utQdY0bL+a2An8DPwPnBum/JTcgexO/8yx+X1XwJ/Aj/mx7ph1j8e\nWJ/bsIXq07zieXVRrh8C+4F/qc6SLsnrd1Nde91X/q3SWTUo29uA7bkj3ArcVDqrGmW7Cvgl5/oN\n+Q/FIOUX57K7gYdb1s/Kde8BXgeidFYNyfVyqrug7QC+Ai4rnVUXZrsJ+Av4J/cHd+X1R3Ob+vqT\n50/BpXQAAAGnSURBVEpn1ZBc78/1/0T1z+GU0lnVJdsB22yk/Z0NG9nP1jzbru5ra5DrGe1nI+9c\nkiRJktQgTZuzJ0mSJEnCwZ4kSZIkNZKDPUmSJElqIAd7kiRJktRADvYkSZIkqYHGnnoTSZKaKyIu\npLp9OMDFwH9Ut8UGOJRS6rYvupYkCcCvXpAkqU9EvAAcTCmtLN0WSZJOl5dxSpLURkQczD/nRsS3\nEfFpROyNiJ6IWBAR30fEzoiYmrebGBFrI2Jbftxa9ggkSWczB3uSJA3NDOAR4GpgITA9pTQHWA08\nkbdZBbyaUpoNPJBfkySpCOfsSZI0NNtSSvsBImIPsCGv3wncnpfnAddERF+Z8yPi3JTSwTPaUkmS\ncLAnSdJQHWlZPtby/Bj9f0/HADenlA6fyYZJkjQYL+OUJGnkbKD/kk4i4oaCbZEkneUc7EmSNHKe\nBGZFxI6I2EU1x0+SpCL86gVJkiRJaiDP7EmSJElSAznYkyRJkqQGcrAnSZIkSQ3kYE+SJEmSGsjB\nniRJkiQ1kIM9SZIkSWogB3uSJEmS1EAO9iRJkiSpgf4H6aapbmzjracAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ee69ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ralFVXVVVN3d/HrCV9U7p1rm5qk4Z176qqm6qqjXd5+enb/QAAABz26iuKJ6V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\nAHoERQAAAHoERQAAAHoERQAAAHr+f6R/gEr2I6aXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fcf6d10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ZUl26dNFll12m8PDw4l8YAAAAOdq3b5/atGlzwfZq1aoFXsCz1k4wxtwt6Stj\nTHaTwUlJU6y1071eHeDH/jgNd3Fa8HITERGhiIgIxcfHn912/PhxffXVV1q6dKmeeuopNWnSRF26\ndFFISIhnLw4AAADt27dP1atXv2B7lSpVtH79egcqylueAc8YMyrr1+ckZQe8U5JCjTGjrLXTvFkc\n4K/OnV3p3O6a3gh5f1ShQgV1795d3bt316+//qqvv/5aS5Ys0UcffaRdu3bpzjvvpFUPAADAAzIy\nMrRv3z5Vq1btgn1Vq1bVwYMHHagqb/lNslIh6+dSSQmSKkqqpsxZNC/1bmmA//KXdZTKlCmjLl26\naMKECRo3bpzS0tJ000036R//+IfS09N9WwwAAIDLHDlyROXLl1eZMmUu2FetWjXt37/fgarylmfA\ns9Y+Zq19TFJNSZdaa8dYa0dLaiGpli8KBPyRP66jFB4ergceeEAzZ87UV199pQEDBvjlt0oAAACB\nIrcJViSpcuXKOnLkiM6cOePjqvKWXwtetoslnbuKX1rWNgB+pm7dupo+fbq6deum/v3769tvv3W6\nJAAAgICUV8ALCQlRRESEDh065OOq8lbQpQ7elLTWGPN+1uuekuZ4pSIAxWaMUUJCgmJiYvS3v/1N\ngwcP1k033SRjjNOlAQAABIykpKQcJ1jJlr1UQtWqVX1YVd4K1IJnrX1C0gBJR7N+BlhrJ3mzMADF\n165dO7322mt655139OGHHzpdDgAAQEDJbQbNbP64VEKBFyu31m6QtMGLtQDwgpo1a2ry5MkaOnSo\nWrVqpSpVqjhdEgAAQEDIq4umlNmC528TrRR0DB6AABYTE6O+ffvqscceU0ZGhtPlAAAABIT8umhW\nqVLF71rwCHhACZGQkKDTp09r/vz5TpcCAADg906dOqWTJ08qMjIy12OqVavmd7OWE/CAEqJUqVJ6\n7LHH9PLLL2vv3r1OlwMAAODX9u/fr+rVqysoKPfIRBdNAI6qVauW7rzzTj388MNKS0vL/w0AAAAl\nVH4TrEiZXTQPHTrkV0NgCHhACXPzzTerevXqeuyxx2StdbocAAAAv1SQgFe6dGmVL19eR44c8VFV\n+SPgASVMUFCQxo0bp6SkJL3yyitOlwMAAOCX8ptgJZu/jcMj4AElUOnSpTVt2jQtWrRIn376qdPl\nAAAA+J2kpKQ8l0jIlr3Yub8g4AElVGRkpKZNm6YpU6bom2++cbocAAAAv1KQLpqS/020QsADSrCY\nmBhNnDhAxU1KAAAgAElEQVRRY8eO1cKFC50uBwAAwC9kZGTowIEDqlatWr7HxsTEKDg42AdVFYz/\nVALAEa1bt9Zrr72m0aNHa8eOHRozZoxCQkKcLgsAAMAxhw8fVnh4uMLCwvI99tprr/VBRQVHCx4A\n1apVS3PmzNHhw4c1ZMgQvxooDAAA4Gv79u0r0Pg7f0TAAyBJKleunKZOnapOnTrp9ttv17///W+W\nUQAAACXSwYMHdfHFFztdRpEQ8ACcFRQUpP79+2vGjBn6xz/+oVGjRvnVui4AAAC+kJycrKioKKfL\nKBICHoALxMTE6I033lBMTIwGDhyoo0ePOl0SAACAzxw5coSAB8BdQkJCNGzYMF199dW6//779fvv\nvztdEgAAgE8kJycrMjLS6TKKhIAHIE9Dhw5VeHi4Jk2axJg8AABQItCCB8C1goKCNH78eG3btk3v\nvvuu0+UAAAB4HWPwALha2bJlNW3aNL3xxhtavny50+UAAAB41ZEjR+iiCcDdqlatqmnTpunxxx/X\nunXrnC4HAADAK9LS0nT69GmFh4c7XUqREPAAFFjjxo01efJkPfDAA9q0aZPT5QAAAHjckSNHFBER\nIWOM06UUiWMBzxhTyhjzrTHmQ6dqAFB4LVq00GOPPabRo0dr586dTpcDAADgUYE8/k5ytgVvpKRt\nDl4fQBF16NBB999/v0aOHKnU1FSnywHgcidOnNBvv/3mdBkASohAHn8nORTwjDE1JF0n6VUnrg+g\n+K688kpdddVVevrpp50uBYCL7dy5U3369NFrr73mdCkASohAb8ELdui6z0q6X1KF3A4wxgyWNFiS\n3n3w72rbsJGPSsuyZ4/2JP3s22uWBDxX73Hg2V5/UWUt+GK5lk+colq1avn02j7D31nv4dl6j0ue\n7d6fftKXy5apX2wDJX22THvCHf5G3SXP1S/xbL2D51ok5ptvVF/Snrf/mftBDjzb6NtvKdBxPg94\nxpjrJR2y1n5jjOmc23HW2pclvZz90he1nWvPsmWK7tzZ15d1PZ6r9zj1bLs2jtW4ceP03sj3VK5c\nOZ9f39v4O+s9PFvvccOznT9/vl5Z9pmmTJmixo0bq1u3brrjqitUuXJlx2pyw3P1Vzxb7+C5Fs3c\n/+5Sw4YNFd2rV67H+POzdaKLZgdJNxhj9kj6h6Quxpi3HagDgAe0atVK7du31wsvvOB0KQBcYtOm\nTZo9e7Zmz56tuLg4lSpVSm3bttWqVaucLg1ACZCcnMwYvMKw1j5gra1hrY2WdKukJdba231dBwDP\nGTFihJYvX64NGzY4XQoAF1ixYoW6d++u6tWrn93WsWNHrVixwsGqAJQUR44cCegxeKyDB6DYKlSo\noPvuu09PPvmkzpw543Q5AALc119/rfbt25+3rV27dlq3bp3S0tIcqgpAScEsmsVgrV1mrb3eyRoA\neEbnzp0VFRWlBQsWOF0KgACWkpKivXv3qmnTpudtv+iii1S7dm1t3LjRocoAlAQZGRlKSUlRRESE\n06UUGS14ADzCGKPRo0frlVde0S+//OJ0OQAC1Jo1a9SyZUuFhIRcsK9Dhw5auXKlA1UBKCmOHTum\nsmXLKjQ01OlSioyAB8Bj6tatq27dumnWrFlOlwIgQOXUPTNbhw4dGIcHwKsCffydRMAD4GFDhgzR\nZ599pl27djldCoAAk5GRoa+//lpt27bNcX+DBg10/PhxJSUl+bgyACVFoC9yLhHwAHhYeHi47rzz\nTk2dOlXW+nwJSwABbMeOHapYsaKqVauW4/6goCC1b9+e5RIAeE2gT7AiEfAAeMFNN92klJQUulIB\nKJS8umdmY7kEAN5ECx4A5KBUqVIaOnSoZs6cqYyMDKfLARAgVq1apXbt2uV5TJs2bbRx40adPn3a\nR1UBKElowQOAXHTu3FnGGC1btszpUgAEgOPHj2vnzp269NJL8zyuQoUKatCggdavX++jygCUJEyy\nAgC5MMbQigegwNatW6f4+HiVLl0632NZLgGAtyQnJ9OCBwC5ad++vcqVK6fPPvvM6VIA+LmCdM/M\n1rFjR61cuZKJnAB4HC14AJCH7Fa8WbNm6cyZM06XA5RoGzZsUHJystNl5Mhaq1WrVuU7wUq2OnXq\n6MyZM9qzZ493CwNQ4tCCBwD5aNWqlaKiovTRRx85XQpQImVkZOill17Sfffdp7/85S/av3+/0yVd\nIDExUaGhoapVq1aBjjfGsOg5AI/77bfflJaWpgoVKjhdSrEQ8AB4lTFGw4YN04wZM3Ts2DGnywFK\nlF9++UUjRozQ999/r3nz5um2227TnXfe6XctXytWrFDHjh1ljCnwe7K7aQKAp2S33hXmv0X+iIAH\nwOvi4+PVtWtXjR8/njEzgI8kJSXpjjvuUExMjF588UVFRESoT58+Gjp0qO666y7t3LnT6RLPyg54\nhdGqVStt3bpVJ0+e9FJVAEoaNyyRIBHwAPjI8OHDdeDAAc2fP9/pUoASYcqUKbrxxhs1cuRIlSpV\n6uz266+/Xn/72990zz33+MWYvNTUVP3www/5Lo/wR2XKlFFcXJzWrFlT5GuvW7dOaWlpRX4/AHdx\nwwQrEgEPgI+EhoZq4sSJmjVrll+1HAButHnzZu3du1e33357jvu7dOmiP//5z5o2bZqPK7vQqlWr\n1LJlS4WGhhb6vcVZLmHDhg0aNmyY3n///SK9H4D70IIHAIVUq1YtjR49Wg888IB+/fVXp8sBXCk9\nPV3z58/XX//6V4WEhOR63J133qlNmzZp9erVPqzuQkXpnpktO+Bld/3ev3+/Bg8erBdffDHPmXtP\nnDihcePGqX///nr33XdZqxOApMwxeLTgAUAhXXvttWrSpIlmzpzpdCmAKy1YsEAVK1ZUp06d8jwu\nLCxMY8eO1aRJk/Tbb7/5qLrznTlzRqtXr1aHDh2K9P5atWqpTJky2rlzp5YsWaJ+/fqpQ4cO2rp1\nq4YOHarDhw/n+L4pU6aobdu2GjZsmCpWrKivvvqqOLcBwCVowQOAIhoxYoQWLVqkAwcOOF0K4CrH\njh3Tq6++qj59+hRoFrj27durUaNGeu2113xQ3YW+//57ValSRZUrVy7yOTp27KiHH35Yzz77rJ57\n7jn169dPL7zwglq3bq077rhDq1atOq+F7osvvtD333+ve++9V8YY9e3bV3PnzvXE7QSElStX6oYb\nbtBzzz2nH3/80elyAL9CCx4AFFFkZKT69OlDKx7gYbNmzVLXrl1VvXr1Ar9n9OjRWrhwoSMf9ovT\nPTNb9+7dFRcXp7lz56pRo0aSpKCgIA0aNEiPP/64pk6dqquvvloPPPCA3nvvPU2ePFnjx49X2bJl\nJWWOR9y3b5+2b99e7Pvxd0eOHNHjjz+uoUOHqlSpUrr77ruVkJCgefPmsYwNIAIeABTLHXfcoa+/\n/lq7du1yuhTAFXbv3q1PP/1Ud911V6HeFxUVpeHDh2vUqFE+XwTdEwGvYcOGeuSRR3JcmLh169Za\nuHCh3nrrLXXo0EFbtmzRkCFD1KRJk7PHBAcH65ZbbtE777xTrDr8XUZGhsaNG6devXrp2muv1T33\n3KPFixdr6NCh+vbbb3XDDTfogQce0IYNG1jOBiWWW2bRDHa6AAAlU7ly5dS/f39Nnz5dzz77rNPl\nAAHvmWee0cCBA3XRRRcV+r09evRQWlqaBg0apOnTp6tOnTpeqPB8Bw4cUHJy8nlhy1uqVKmi66+/\nXtdff32O+2+88Ub16NFDhw4dKlZ3UX/2zjvv6NSpUxo0aNDZbUFBQWrXrp3atWunY8eO6dNPP9X4\n8eN10UUXacCAAYVefB4IZBkZGTp69GiR/hvqb2jBA+CY3r1768cff9SGDRucLgUIaKtWrVJSUpJu\nvvnmIp/j5ptv1vDhwzVkyBBt2bLFg9Xl7PPPP1f79u0VFOT8R5EKFSro2muv1bx585wuxSu2b9+u\nOXPmaMKECeetiXiu8PBw3XzzzVqwYIFuvfVWzZgxQ3379mWcHkqM1NRUlStXLs/ZhwMFLXgAHBMa\nGqohQ4bohRde0OzZs/mmGCiC9PR0TZs2Ld9lEQri2muvVfny5TVixAhdcsklCg4OVkhIiOrVq3d2\nUhJPSE1N1RtvvKFZs2Z55HyecMstt2jQoEEaMmRIriEoEGVkZOjvf/+7xowZo2rVquV7fFBQkK66\n6ip169ZNixYt0uDBg/W3v/1N3bp180G1gHPcMv5OogUPgMOuueYanTx5UmvWrHG6FCAgzZs3T1Wq\nVCn2WLZsnTp10ty5c3Xvvffqrrvu0h133KH169dr0aJFHjm/JM2YMUNXX3216tat67FzFletWrVU\ntWpVrV271ulSPOqTTz5RhQoVdPXVVxfqfcYY3XDDDXrxxRf1wgsvaNq0aUpPT/dSlYDz3LJEgkTA\nA+CwoKAg3XHHHXrzzTedLgUIOL/88otee+01jRo1yqMt4FWqVFFcXJxatGihtm3b6tFHH9ULL7yQ\n67pyhbFz504tXbq00JPB+MI111yjTz/91OkyPCY9PV2zZs3SsGHDivz3o379+nr77be1e/duPf30\n0x6uEPAftOABgAddc8012rNnj3bs2OF0KUBA+P333/Wf//xHw4cP11VXXeX1SVFiY2PVq1cvPfnk\nk8WaYdFaqylTpmjIkCEKDw/3YIWe0a1bN3355ZeOLfzuaYsWLVL16tXVokWLYp0nPDxc48aN0yef\nfKITJ054qDrAv7hlBk2JgAfAD4SEhOjWW2/VW2+95XQpgN/KyMhQYmKiZs6cqeuvv14LFixQQkKC\nRo8e7ZPr/+Uvf9FPP/2kzz77rMjn+Oyzz3Ty5En17NnTg5V5TlRUlBo0aKCVK1c6XUqxpaWl6dVX\nX9WQIUM8cr7IyEi1a9dOixcv9sj5AH/jphY8JlkB4Bd69eqlG264QQcOHFDVqlWdLgdwzK5du7Rh\nwwb99ttvSktL07Fjx7Rt2zZt375dUVFRatu2rWbMmOGTpQzOFRoaqr///e8aNWqUmjRpoqpVqxaq\n219aWpqee+45PfHEE34xc2ZurrnmGn3yySfq0qWL06UUywcffKB69eopLi7OY+fs3bu3Jk2apD59\n+jApFlznyJEjPlm2xRcIeAD8Qvny5dWjRw+9++67GjVqlNPlAI559NFHFR0draioKJUuXVoREREa\nOHCgGjVq5Hi3xiZNmujWW2/V7bffLkmqXbu2GjZsqJEjR+Y7g+e6detUpUoVxcfH+6LUIrviiis0\nbdo0nTx5UuXKlXO6nCI5ffq0Xn/9dU2bNs2j523evLmMMdqwYUOxu30C/oYWPADwgv/7v//Trbfe\nqkGDBjn+QRZwQnJysvbv368333zTb6fqHzhwoAYMGKCjR49qz549evbZZ7V8+XJ17do1z/ctXbo0\nIFrFwsPD1aJFCy1dujTXhdH93aJFi9S4cWM1bNjQo+c1xqh3796aN28eAQ+uwyyaAOAFlStXVqdO\nnTR//nynSwEc8fXXX6tVq1Z+G+6yGWMUERGhSy+9VLfeeqv+9a9/5Xl8RkaGli9friuuuMJHFRZP\noM+m6c1w2r17d61Zs0ZHjhzxyvkBpzDJCgB4Sb9+/fTuu+/q2LFjTpcC+NyqVavUoUMHp8solK5d\nu2rz5s36+eefcz3mu+++U1RUVIEW2vYHl112mTZt2qSUlBSnSym0kydPavPmzWrdurVXzl++fHl1\n69Yt31APBJJff/1V6enpAdst+48IeAD8Sp06dXT55Zdrzpw5TpcC+FRGRoZWr16tdu3aOV1KoZQu\nXVrdunXThx9+mOsxS5cuVefOnX1XVDGFhYXpsssu08KFC50updDWrFmjuLg4lS1b1mvX6N27txYs\nWKAzZ8547RqAL2WPv3PL5EEEPAB+56677tIHH3ygAwcOOF0K4DNbtmxR5cqVVblyZadLKbQePXro\n3//+tzIyMi7YZ63V0qVLA6Z7ZrahQ4fqn//8p7Zu3ep0KYWyYsUKderUyavXiI2NVZUqVbRkyRKv\nXgfwFTdNsCIR8AD4oT/96U/q06ePZsyY4XQpgM+sWrVK7du3d7qMImnYsKHKlCmjDRs2XLBv586d\nKlWqlOrVq+dAZUVXtWpVjR07Vg8++KBOnjzpdDkFkpGRoRUrVqhjx45ev1b//v31+uuvF2vhe8Bf\nuGmCFYmAB8BPJSQkaM2aNdqxY4fTpQA+sWrVqoDrnpnNGHO2Fe+PslvvArHrU9euXdW6dWs9+eST\nARFktm3bpooVK6p69epev1bHjh115swZff31116/FuBttOABgA+ULVtWd955p5577rmA+GAFFEdq\naqr27Nnj92vE5eXaa6/V8uXLdfz48fO2B2L3zHONGjVKO3bs0OLFi5WUlKQ5c+Zo8ODBGjhwoDZv\n3ux0eefxRffMbEFBQerfvz/jpeEKtOABgI/07NlTP//8s9auXet0KYBXrV69Wi1atMh3sXB/VqlS\nJbVt21Yff/zx2W179+5VamqqmjRp4mBlxRMWFqaJEyfqySef1IwZM3To0CH169dPvXv31pgxYzRx\n4kS/mfX3q6++8kn3zGxXXXWVDh48qO+++67A7zl+/Li2bNnixaqAwnPTEgkSAQ+AHwsODtbgwYP1\nyiuv0IoHVwvE5RFyctttt2nWrFnq3bu3nnrqKc2ePVuXX365goIC++NGvXr1tGTJEk2YMEH333+/\nOnTooO7du2vevHkKDg5W7969HZ9w5NChQ9q/f7+aNWvms2uWKlVK/fr10+uvv16g4621evTRR3Xn\nnXfqpZdeYhZO+A1a8ADAh7p166aUlBR9++23TpcCeEWgLo+Qk7i4OH322WeaMGGCqlSpopSUFN1w\nww1Ol+URoaGhF4wjrFChgu6//35NmzZNzz77rKZNm6bff//dkfpWrlyptm3bqlSpUj697p///Gdt\n375dO3fuzPfYBQsW6NChQ3r//fe1efNmDRs2jAXT4RcYgwcAPpQ9zuPVV191uhTAK3bs2KHw8PCA\nWQQ8P0FBQWrQoIESEhL0/PPPB3T3zIJq0qSJ3n77bf30008aPHiwDh486PMafDn+7lyhoaG67bbb\nNHv27DyP+/HHHzVz5kw98cQTuvjiizV9+nS1aNFCt99+u3bv3u2jaoGc0YIHAD7WvXt3/fTTT9q0\naZPTpQAe980336hVq1ZOl4FiCg8P19NPP60rrrhCCQkJWrVqlc+unZaWpvXr1zu2zEbv3r21detW\nLV26NMf9aWlpeuihh3TPPffokksukZT5RcDgwYPVu3dvzZ0715flAufJyMhQamqqIiIinC7FYwh4\nAPxecHCw+vXrl+83xEAg2rhxo5o3b+50GfCAoKAgJSQkaPLkyZowYYLPxpmtXbtWsbGxqlixotev\nlZOyZctqwoQJmjRpkg4dOnTePmutnn/+edWsWVM9evS44L09e/bUF198odOnT/uqXOA8qampCg8P\nV3BwsNOleAwBD0BAuOGGG7R9+3bWxYOrWGv13XffBfTyCLhQ8+bN9fbbb58dZ5acnOzV6y1btszx\npSji4uJ08803a9y4ccrIyJCU2XI3fvx4rV27Vg8//HCOayFGRUWpRYsWWrduna9LBiS5r3umRMAD\nECBCQ0N1++2367XXXnO6FMBjfvrpJ5UuXVqVK1d2uhR4WEREhKZPn65mzZpp2LBhOnXqlFeuk5GR\noeXLl+vyyy/3yvkLY+DAgfrtt980d+5cHTx4UIMGDdKpU6c0Z84chYeH5/q+Xr166auvvvJhpcD/\nuG2JBImAByCA9OrVS6tXr9aJEyecLgXwiI0bN9J652JBQUEaOnSo4uLi9Mgjj5xt2fKkTZs2KSIi\nQtWrV/f4uQurVKlSGj9+vN58800lJCToyiuv1KRJk1S2bNk839e2bVsdP368QDNxAp5GCx4AOKhM\nmTJq0qSJNmzY4HQpgEcQ8NzPGKP7779fv/zyi2bNmuXx83/55Zfq3Lmzx89bVNWqVTu7MHxCQkKO\n3TL/KCgoSO3bt9f777/vgwqB87ltiQSJgAcgwLRs2VLr1693ugzAIwh4JUNISIieeuopffTRR/rP\nf/7jsfNaa7V06VK/CniS1KpVK1166aWFek+HDh306aefMtkKfI4WPABwWKtWrQh4cIWUlBQdPXpU\nderUcboU+EBERISefvppPfXUUx6bUGT37t1KS0tT/fr1PXI+J0VERKhp06b6/PPPnS4FJQwteADg\nsIYNG2rfvn1KTU11uhSgWDZu3Ki4uDgFBfG/4pIiNjZWkydP1kMPPeSRlrxly5apc+fOBeoGGQhu\nvPFGLVy40OkyUMIwyQoAOCw4OFjx8fH65ptvnC4FKBa6Z5ZMLVq00EsvvaRnn3222At8Zwc8t+jY\nsaN27NjhtRlHgZzQggcAfqBVq1asmYSAR8AruerVq6fZs2frX//6l5599llZawt9jkOHDikpKUnN\nmzf3QoXOCA4OVu3atfXjjz86XQpKEMb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77WqbMYZ+/fqxdOlSFXge5vUxeLq/R0Q8KSoq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\nqnH8UO9rgzKvHuhnwf3cXpa/+9pQL/AuZSxwE5BC2eXm31Z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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fbbe410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dG/YixcXF6ZxzztFXvvIVffjhh3rqqae0cOFCnXHGGbrooouUm5t7wHJaWlq0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\nkiRJ6gkHeJIkSZLUE/8HjceXs15Jvw0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ea31190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ZM3TllVfqxhtvVL169VS/fv0yj/Xq1SuZoON0V4CuvPLKkpkun3vuOWVlZWnI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\ngv4f2L/E4AVdEYsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8f5b50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7kkPGzM9Psqzb9u3dz7ur6lMZPMM4YVAEAABg84zq1tOLkqx7i+mxSb4wQZ9L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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f5dab90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AciMxMVGBgYHy988/Xbmv1oL3iqS+lmU9bFnWy+l/Hpb0pKTX3F8e4L1ysz4T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\n6vTp03aXAsBDaMED4JXKli2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9dpUuXVpffPHFJdsty9Jnn32mzp07u7tMuFi9evU0bdo0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\n+D8f4fw6R+JmggAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e56da10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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mQYMGRX42L80tg3TdAvzhSO6zANCTHTbgOecazezs7ioM0FO8/LI0daqUnPzp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\nDwAAAAB8goAHAAAAAD5BwAMAAAAAnyD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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f8fc490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nKz8/v8LjwMBAhYaGVjn99re/1bnnnquAgADvvPB6QtgD0KAUFxdr79692r17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\nJEmaoP8HQ1T4DFclZBAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f9f2f10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ruj8P3EK/07o+a6rqtHHtK6rqlqpa1X1+cfpGDwAAMLuN6oriuUk+21pblOSz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\nAECPoAgAAECPoAgAAEDP/w+Nt5B88NuIvwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e40f150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Si+UCFUN0/WhFhEYUuC8iNELR9aPdXBHswPcBAEe1bp2qWrXyN9UV9QFSeZxo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\nAg8AAAColLi4OM2cOVPf+c53NHnyZJ08edLvkFA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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ea9a450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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HVVlZqUWLFikxMTHSY6D1z+Tk5Mg46PBnSHgZMmQIf0gC+oATfTb1lZb+aJoF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\nzZKCAmVdckmPX9fvqFfvULfeoW69Qb1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ee4ae90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PNWDAAN10001q3bp1qMtEPZaUlKRf/epX+uUvf6l//etfmjVrlmbPnq0xY8Zo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\nnuyZmZmZmZk1kCd7ZmZmZmZmDfR/g92yazjcsgEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e893210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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JTkvy1kk28ZPW2tKhDxQAAGAPM7KgmOSoJGtba7clSVVdmuTEJA8Hxdba7d2yh0YxQAAA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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110fe63d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+/HhMnToVISEhWLduHRYvXozBgwfnu1NnYWGB8ePHIygoCAMGDMC5c1yWl4iy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\nAAAAQEj8PxkytpTNeQy2AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f83ee90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IBy1cuJDQ0FCqVKnidCgXGGN48cUX6dWrF4MHD2b06NGcPn3a6bBEREQkhRI8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\nr/Taq2Xkmp9fs9n11/782kXuCQAsPDdQAFhcWwx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g1/b1C9u9JW2StV2Z0W87v9xaOyDJ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\ngfh/bOwu3KndhX8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f92b850>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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siRMnKjIyskbd74KCgtSpUyd16tRJgwYN8izPz89XSkqKtmzZoi1btujrr7/W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\n7555vps9f08PAF5UVQ9vZMckSVqKp3FKkrR+rmX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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11100c4d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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X6ejoKA27Lc4Xl5uammhpaSn1wE6aNImJEyeWXkfGjRuX6zntvVycGhsbHR6o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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e8807d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tanks = ALL_TANKS\n",
    "# tanks = [C1_TANK_G]\n",
    "\n",
    "# Limit to dO for now, since that's what we're hoping to get better data on\n",
    "# dimensions = ['dO']\n",
    "\n",
    "for tank in tanks:\n",
    "    for dimension in dimensions:\n",
    "        fig = plt.figure(figsize=(15, 6))\n",
    "\n",
    "        tank_ysi_data = ysi_data.selecteq('tank', tank)\n",
    "        tank_tuh_data = tuh_data.selecteq('tank', tank)\n",
    "        tank_node_data = node_data_by_tank_and_dimension[tank][dimension]\n",
    "        \n",
    "        dates = list(tank_node_data.values('create_date'))\n",
    "        values = list(tank_node_data.values('calculated_value'))\n",
    "        \n",
    "        plt.plot(\n",
    "            dates,\n",
    "#             values,\n",
    "            signal.savgol_filter(values, 11, 4), # Smooth y values\n",
    "            alpha=0.8,\n",
    "            linewidth=1,\n",
    "            label='Osmo',\n",
    "            color='k'\n",
    "        )\n",
    "        if dimension in tank_ysi_data.header():\n",
    "            plt.scatter(\n",
    "                list(tank_ysi_data.values('Time')),\n",
    "                list(tank_ysi_data.values(dimension)),\n",
    "                marker='x',\n",
    "                label='Osmo YSI',\n",
    "                color='blue',\n",
    "                linewidth=0.5,\n",
    "            )\n",
    "        if dimension in tank_tuh_data.header():\n",
    "            plt.scatter(\n",
    "                list(tank_tuh_data.values('Time')),\n",
    "                list(tank_tuh_data.values(dimension)),\n",
    "                marker='*',\n",
    "                label='TUH',\n",
    "                color='green',\n",
    "                linewidth=2,\n",
    "            )\n",
    "        \n",
    "        ax = plt.gca()\n",
    "        for spine in ax.spines.values():\n",
    "            spine.set_visible(False)\n",
    "        \n",
    "        for threshold in thresholds_by_dimension[dimension]:\n",
    "            plt.axhline(threshold, color=(193/256., 73/256., 83/256.), linewidth=0.5)\n",
    "        plt.title('Tank {} - {}'.format(tank, dimension))\n",
    "        plt.xlim(min_time, max_time)\n",
    "        plt.ylim(*y_axis_by_dimension[dimension])\n",
    "        plt.legend()\n",
    "        plt.xlabel('Time')\n",
    "        plt.ylabel(dimension)\n",
    "        \n",
    "        plt.grid(axis='x')\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Charting data by dimension"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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8IC+vsNgTEREREXEjLdGsoJiYGM6ePcvChQud2zIyMpzLJK+nTZs2zgecXK24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\n8/IChwPK+PRWEakBKluobN4MrVtX70K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jPiOy0Qd4TQpn51I77v+1FLvXPmD8wVm0OPsF\nq0d9jp7rLDKDljNz5zx6jA1iqFv//LGTbt4ibPNyDl59CVOztZiFuOHWaj0N2k0iLCKAX1s35NkU\nNXtt9Fg4aBHm+uaQpSLz7ExmhxjQ8qiaYE9Dlo6Yg36GvkYLXmXiD/OOtaxjXj1wlcykTDpP6lzq\neX2irtk6hnxuqwf5vFaM9Ph0ri/5Bec5LxZ2B425Bv7LCe+wgZ9+vsiAAS6cPQtjxtSYklemWeTX\nVTIyFSQ3K5fgH4JBAU7DndAzqYPFLx0d4Z9/4O5d6rdsQsc3O3J67WmcRzpjam1a29IVT2YmsZ+t\n53q6NZ3Xj0PXWLfQ5os/XSQ6KJpGro1qScBqRql86AJaVnJzJStinlIYFSVlG01MLLmUhJHRw7kK\nKoYmJpIclUUIacnJeWidzFvUamnJWy/vuJmZktU0b0lLK/p3RkbxFtQ8eariGHV0JGuaicnDxdIS\njI1x7W8MWpkQPJfbw/zYu8eTFxafx8bShavbdhC70pP3f32JFRP0MDeHlh1i2PLxIZpMusvnI+4x\n4puBmDc3z3fXbPWOGz/+F8mCt4tXSLJSsgopg3nunpH+kTj088bm/Bx2LZ7I4RVL6fjOZJYGL+O7\nwXO5bvICM3ceYkZTK77YOY/BPfrTyWFvobGv/XsPlxmfYHd2AS5Dv2TWx87kDvyLC79t4lRjXT4x\n6IQyJZlmu/bwx9FXGPzqOxjr/UlGqxXEfadkc30nfo3rT+btTPy/LJrFs69333JZ4h6luCQyJY0Z\nExxD2OEw7PrIGa9lZGTgxj83aDHrZTB/JBt31gUY8BnB/yixt0+lfXvp53f7din0v64gK3gyMhVE\nqaOkzZA2lXYpqnbefht++gm0tNB/7TXc33fnzPoztOzfEguHqolDrUrEnbtcnbOVrK6edJvgodGl\ntN3Qdpz5+gwGFgaYNZMzYgKgpSUloKlXjlgiIR7GcOUtt29Ln8nJhftVRhFSKh8ueQqfEDQODYXr\nFUh2lSePvj4YGkqLsbH0aWn5sESGoWHdcGnNUsH5uSQ6fsASv2V8+Op5wv4bidlz+3EY5oXt2Zkc\n7X2UmbO/YN7MdK7vmU/EEG36qt7E7Rs3Xp4Ryv7v9LFtZEard9yYMsqf7/4oWdHRM9PTWOIgz/qV\nZD2LNkfsSJlynC4TjnD+lw+xybqAmddeNqevxc5uIaO+X0snr72YJV8EU1uA/FjhVCxZsvcdwlfb\n8d7xYKJ++Y7WvXszwe0FjPSlt92NYt/E7q8/iAz/A7v7bfnjw220fD6AoLf/44tDXxD08SFeX/6a\nZiXUy6FMZRs08WgSmbz9SopptO1pS+DGQBq0aYBJ47rpZSIj81iQnQLhP0DzUaBjXNvSVJjUe6kY\nNdRQaik9GvStuHMHWreWXp527CgpeZcvQ9u2NSxocQghHoelCJcvX9bUXGUkJSVV6/hPK3X5vFb3\nNVXd+Pr6ltwhIkKI5cuFCAwU6ly1OP31aREbElsjspWF1LhUETT/d3Hy1RUiOvBWqf1zs3PFsaXH\nREZiRrXKVep5lakwT825vb1fqBLDxeT9k0VCeoIQQghVYrhYt3ugtJ6ZIDJOvCne3TRVrB0zWbz9\n/Uyp/fZ+ITITRHiUSjh5HRF+528J90F/iJgLP5c6pe/fe8SSb3xEeJTqYWNmgoi58LOYv+qIOLJi\nsrh187w48ouTuHA9WDh5HRHhUSqRkCDEqDcTBdNtxag3E0VCQuFxI49HilDfO2Lq5Gjh82N7kRh3\nXmT4TRZTJ0eLN3+akX98j/LT78nirR3viaR/9gvx1VcidcMaMWvNW+Kn35NLPI6EsASxgAUiIUzz\nuI+SnpAu9k/eL9IT0jWulzRmTmaO8F/uL9RqdbHjPzXXbC0gn9vqocbP64kxQuxA+iwj+/eLIvea\nhASp/cr+K4W+v0JI3+vD8w9rbL+y/0qhtuL2f7RfQeJvxIsrfxSz/co6IYQQ69bV2jVbJt3pqSiT\nICMjA9jYwIwZEBuL4ut1uA1rSfh/4cRejq1tybi06xLX523HoZWg664ZWHVsWuo+Sm0lnSd3JmhL\nUA1IKCNTCay9OBZ9Ee++3lI8GmBmasuI/+3AP9IfdM3JtJnLl3prWW65l7Tjn0CGuVSe4PwcbOsL\n1i+253l3Y36d8AsNHZ4rfU5tY6Y47mT4JD8iohMhS0XyiVmM+kzN0AY7sHvtA5Zc/gbX5/bjFL+B\nA+ub89aqX3hnZjJ6/T4jbMER9Pp9xszZmflZywGiz0UTlmTAOwPH08lrL6YWLuh18WbF8M8YqPOu\ndDwaMG73H8uGzMPkWS+YNg3DkWOYZ9Ubp8AZsGsXJCQU2ae4cg4lkVfIXZNVsLQx88rMXPtTc2kl\nGRmZYlDnQMQuuLQEbm6R2m5ukdYjdknbS8DD42EFBHiYXNPDQ3Kt3jTKh5iIwuVU7Id0YNMoH/b+\nnIFKVbjMikoFBw5IY9nYhbBl5MHC+88+SH2rkPw+jxJ+JFyzu3Z2Mmgbk5IiOY3UacqqCdbyUoS6\nYMGLiooSQ4cOFS1atBAdO3YUAwYMEFeuSBp///79hZmZmfDy8qrQ/La2tsLJyUk4OzuLnj17ivDw\n8AqNUxy9evUSDg4Oon379qJ169bim2++KfcYt27dEi+++KJo2bKlaNGihXjnnXdEZmZmiftUhQUv\nJiZG2NraiqioqPy2yZMni8WLF4vU1FQxYsQI4eTkJNq1ayc8PDxEcrL0htjIyKjEcZ94C15BEhOF\n+Pprod67VwRsOCNiLsZUm1yloQqNEsEjlwpx4UKF9g/dGypiQ6vPEim/Va4+5HMrobqXIHyWTxAf\n7BwvEv1Giak7p4g3J2RIb7QzE0TSkfHiudd2ijsHRwv3QX8UtsoVg6+vr8Z9Yy78LERmgth/Zf9D\na1umZC3c9FOMeG7ja/ntCekJ4s2fZuRb2XKzc8Xpr0/nWxYL8WCMChEVJcS2bUKsXi3EoUNCZGSU\nyRJXXso65pn1Z0RafJrGMeRrtvqQz231UCPnNfqIZLUrbok+UuoQCQlCTJ4sRFiY9FnQohcdni4+\ncNovIs4niP2T94vo8HQxebIQsWf2iN/H/i6mjkoQv78pfZdV9xLEujn7H+6fmSBUf04RHzv/Lu0/\n4Xeh+nOKmDEtoYjVUAgh1LlqcWrNKc1Cxp4U4n6gOHFCiMDAum3Bq23F7bFV8NRqtejWrZtYv359\nfltQUJA4evSoEEKIf//9V+zbt6/MCl5uTq5IiUkRuTm5QghJwYuNlR5a582bJ8aPH1+RwyiWXr16\niTNnzgghhLh//74wNzcvVTkriFqtFp07dxabNm0SQgiRk5Mjxo0bJ2bOnFniflXlorl+/XoxcuRI\nIYQQgYGBwtnZWWRlZYnFixeL9957L79faGioyMiQXPhkBU8DwcFCvXSpODF3v0iNTa1ymUpDHREh\n/L0WiZzoexUeIzcnVxz/4ngVSlUY+aGjmkhOFr67dgmRXLKL3hNPZoK4+tNbYurOKYXcNafunCJ+\n+j1ZhEepxHOv7ZQekpLD8t01S1Py8q/b5DAhdiBsG4QJv/Mluz4XUvoekJAuKYNCCBHpHynuBt6t\n6JEW5fZ+8dcfBR6y1Gohzp8S6Z9NFacHzBMZh48JkZub3z3PraoiLldClN1VKzM5U5xcfVLjGPL9\noPqQz231UCPnNSdTiH0OmpW7fQ7S9hK4svUHkR4TLcLCJM0kLEyI9JhocWXrD1KH2/vFzt9/FAtY\nIC74JYjJk6UXY8lXvxcXtg0WC1ggpo5KEBHXEsSRFZOF6l7h+9hfl34St3ZOEAtYICJ3TBUzpkmu\n73n3toLcDbwrIv0jNQt6fZMQ2Wni+++FSE+v2wreU+GieeAAhVxMgELm2yLk5koprx8UOtaEr68v\nOjo6TJw4Mb+tffv2eHp6AtC3b99ylQNQRahIjExEFaEqss3d3Z07d+7kr69cuRInJyecnJxYtWoV\nAMuXL+err74C4L333qNPnz4AHD58mJEjR5Y4d0pKCkZGRmhpaZVZ3sOHD6Ovr8/YsWMB0NLS4ssv\nv2TTpk2kpaVx6dIlunTpgqurKy4uLly7do3w8HA6derEmDFjcHBwYOTIkfz77794eHjQqlUrTp8+\nDUB8fDyDBg3CxcWFbt26ERwcXGT+t99+mxs3buDr68uUKVNYu3YtOjo6REVFYV2gELajoyN6epXM\nbpl3AaWkwIYN0meJF9BjhLMzihkz6OSYzLlJG1GnpNXc3MeOEb56LzYfjULLyrLCwyi1lDRybUTU\n2agqFE6m2pk2DSIjpc+nmVh/bjr3fVhOQNccvY4rWNLVE+N2/7FzXyC/TvaBF8MgZDm29QX7v3Nl\n876rpY+dpSI50Jv+e3dyfPt8PpgfJLlrFoOXg1e+C2ke5vrmeDlIdaeqPHOtpQe9zecwYXqwJFd2\nIplJW5kbu5CG307nh4ubSFu9Ar77Dm7eRN9cn4Z9GxJiFYLPHJ9898qCrlkl4eDlUGLimTx0jXVp\n6NSQ2ydvV92xysg8yWjpwvOhmrc9HyptLwGb/z3L7+M+Y+WiSMLCYO2SGP6ZuBKz3p05cPUAGTpu\nGP0QSMzSVD709OfdN2PQvzGTBYEnuHZ0KNP3xOGZ+xd7583F7iVvzCwL38dc6/fm2+0GTF+1illv\nejDs9SyWBX6Mh41HEVlun7yNdVfrIu0AqDNA24DMzDpbfSifp0LBK8m3VyORkZCVJX0Ww8WLF+nU\nqVOl5BJCkB6fTnJUMhnxD36o4jNIjkpGqB+YWIG//vqLQYMGARAYGMjmzZs5deoUJ0+e5Ntvv+Xc\nuXN4enri5+cHQEBAACkpKWRnZ+Pn50fPnj01zj9y5EhcXFxwdHTkk08+KZeCd+nSpSLHb2pqio2N\nDdevX2fDhg1Mnz6doKAgAgICaNpUiqm6efMmM2bMIDQ0lNDQUH788UeOHTvGihUrWLx4MQDz58+n\nQ4cOBAcHs3jxYkZryDurVCpZv349L7/8Mo6OjvnHOG7cOJYuXYq7uztz587l2rUqiKXIu4AmTIBJ\nk6TPEi+gxwwtLXRGDcPpoxc4N24tHDtWvfOp1bBtGzkJycQ060xTD9tKD9n8meaE+Yblf2dk6ig5\nOVK81ZIlsGWL1LZli7S+a5fmIvFPOtZe9G87tLBipWuOsd1QvJp7MLvDb5i4Lwfj5tDeOz8mr6QS\nCQCIXJJPzKL/qpfYuHoATfqs5tC7ex/G5JWT3OxcFEqFxqy2FUbXHL0u3nw3bg1vTz9I3H+zmLPL\nm2kfK1gW9AnPvj6PWQ4RqIYMhJAQ0r5Yym8LhtLLpkN+NkxVuKpQ6QOAM3sOkBhb+GVpYqyKM3vK\n/lKu+TPNuXX8FjkZT+E1KSNTEZKLed5KLj1TcoauFScbfYhT5CdoJZygV+xK/qk/hTknNuJm6obP\npwF0WTqLV5RJOK49xOGpK/jgjCEeRwainKBPistbvPjMWKzowbLP9YmITuTAVen7nqHKIGDBcaZO\nSmXo8fUs2X6I9UN/ZXrLeUVeaKlz1CiUCq7/db1IzG9GQjoxF2LyK/vUdZ4KBa9g8fnwcOkzryh9\nPkJAfLxUO+r+fant/n1pPT6+cB2lKiIzOZOEmwkk30ku1J58Jxl1jppnej+DtbU1Bw8eZPjw4QAc\nO3aMwYMHY2RkhLGxMUOGDMHPz49OnToRGBhIUlISenp6uLu7ExAQgJ+fX75V8VF27NhBcHAwkZGR\nrFixgoiIiCo7Nnd3dxYvXszSpUuJiIjAwMAAAFtbW5ydnVEqlbRr146+ffuiUChwdnYmPDw8/xhf\nf/11APr06cP9+/dJSkoqMoerqytOTk5Mnjy5UNvNmzeZNWsW8fHxdO7cmZCQkIofSE4O/P03WFjA\njz9KbT/+KK3//fcT9UBq1tGeBlOHcuNUHHz5Jdy7VzUDq1Rw4oT0IL9hg7R068aFuEY4DXOqkikU\nCgW2nrZE+hX/UkamDuDvD0OHwscfF27/+GOp3V9zgo6nllh/SanTffBjpWsurceW4TzlpLDuynB2\nrvfEtpEZ6Jpj4r6cPQvTymb9e4S7Z+5i3aWYt9qVQdcck05zOPTScNxGzGHQ+BSWBX7M0rY9CT1m\nxgedFjPnhDfhHu2Y53iNl54bTIT3v+hv/5aeA01YbbcKj1kehSxzDh4eBG2bk6/kJcaqCNo2B4dy\nvJRTKBS0e60dV/ZdqfJDlpF5ItGzAIuuYDcahtyTPi26Su2l4O8Pn62wYcDSiWzq+DctP3yWtH5f\n0U93AYmBibh90JfPvrTCbcRsVtZbwxceWxCbBtL9owF0sHLl2Nb5xD17ihfHH2N4jwCeHx+Ek2kP\nACKPhNDjJR+W/r2M5cu60yFkC5+tOs33M+8W8e6LPi95KeTVzCzoJeD/2U/Uc2pPeDjYPQblMp8K\nBQ8kZW7WLOmfMmvWI8odSG53N29CAVdIQFq/eVPaXoB27doRGBhYYXlu3bpFF48uPDeyH9t+21Zk\nuwI4sO8PIiIicHV1Zf78+SWOp6Ojg52dHVu2bKF79+54enri6+vL9evXadOmTYn7Wlpa0rFjR06d\nOlWo/dSpU7i6uuLq6sq+ffsKbWvbtm2R409KSiIyMpKWLVsyYsQI9u3bh4GBAQMHDuTw4cMAhdwl\nlUpl/rpSqSSnAsqSUqlE+Ugx5jzF9+uvv2bUqFH8+eef5R43n7wH0oULC7cvXPhEPpDa9rQlrbE9\nkS7Pw/79klWlBFflIiQlwalTsG3bQ2Xu4EGpHtnQoTBxIkyezH0s0NbXxrhR1aWhsu5izd2Auwi1\nbMWrs7i7g4OD5m0ODtJ2mYdYez1U7vLQNZfaS0PHjNlv95GUuwL7NnR6rXTrnwaq3D0zjywVmUHL\n+SQgjOPb5/P8lJ1McPoQY+v+9Dafw5rFgglOH+K6xo7Zhll8vmcYtp+OI2PEOC5+d4JZ8wwIe3sx\nGRHR+UOaWZrjOtqboG1zuB0aTtC2ObiOlty2ymPdM21qSkp0CrlZ5bgHysg8rehZQP+TpHRax4aL\nv5HSaR30Pwl69Uvd1csL9LNiCF68h9dOdmffB6v4sNMwhg42xsHLgYCL+ixeoEIvchGfmIwi4KX/\nIT7cj39gHOpTy+j+5iqWXP6Ge85vk2M8iQPrm3MxULr3OXS+y8ncRUz7WME3F5cSNC2ML5XazFhy\nrcgjXFRgFI07Ni5UMzPPS8BzUj10rTsSHAzOztVxAquWp0bBU6lg+XIIC5M+H9XaMTIq3qFWX1/a\nXoA+ffqQmZnJxo0b89uCg4Pz3SRLo1mzZgSdDyLw6M+MfrmoC6JCS42BiRHa2tqsWrWKbdu2ER8f\nj6enJ3v27CEtLY3U1FR2796db6Hz9PRkxYoV9OzZE09PTzZs2ECHDh1QlGJLTktL49y5c9jb2xdq\n79q1K0FBQQQFBfHiiy8W2ta3b1/S0tLYtk1STnNzc5kxYwZjxozB0NCQmzdv0qJFC9555x1eeukl\njXF0xeHp6cmOHTsAOHLkCA0aNMDU1LRM+/r7+5PwIN12VlYWly9fxta2Ei6AT+EDqfMIZ7JzlZzX\n7oRw7QArV8KlS0U7JifDmTOFlbn9+0FXF155RVLmJk6E4cOhfXt4YMVNvZfK1f1XcRpaNda7gjTv\n3ZzIY7IVr86iqwuhxcRphIZK22XqHNXingmScnd6DnN2eTP+g3qszNHh+qcXmPhuMBHxCvS6eDP/\n5VnM+uA4lzuP5sU1rzHtYwX6ZOAz7wgdNk/H8NMPabN2CqHjlpG9bCUEBIAQmFmaY+81i6Zn7bD3\nmpUfk1Ne614rr1ZcOyiXTZCRKSvTDk5j0oFJTDtY9vjqjHsx+ExZidsXb7I2bg9Dvv+UI1NXExMp\neRt49VOhf2Mmc+JgRr81mHZZw4rmGSQoxlHvuQ+waWbLLI9Z2H7dHrteO7BRXsQr7z2YtRddn4Vl\ngR/j3deb5ubNmfvsCj6N+A+PvoWVAXWOGi1dKVxJ31wfj1kerLZbjccsD3QVUWDYjKgoaNy4Sk5V\ntfJUKHh5MXfe3tC8+UN3zUJKnlIJ7dppHqBdO2l7ARQKBbt37+bff//F3t6edu3a8dFHH9GokfSG\n09PTk1dffRUfHx+aNm3KoUOHigyrVCpRmjpqnFKh1Mm3TDVu3Jjhw4ezbt06OnbsyJgxY+jSpQtd\nu3Zl/PjxdOjQIX/OqKgo3N3dsbKyQl9fv1j3TJBi8FxdXfMTn5QnpjDv+H/55RdatWqFg4MD+vr6\n+XF0u3btwsnJCVdXVy5evKgxjq44FixYQGBgIC4uLsyePZutW7eWed8bN27Qq1cvnJ2d6dChA25u\nbrz88stl3r8Iurpw8qTmbSdPFnogVQs1aqGu+Fx1CPvn7Gnq3pQT+2LJfGsq3LgB69fDjh0Plbm9\ne6XvxZAhD5W5ESOgQwfJYqeB7LRszm0+R+cpnav+YRFo1KER0UHRpXeUqT2Ki4u9XnqcRmUpmCdJ\npuxUm3tmrD9HVA9i7gI/Zu6zK2jQ4yv2LExj8oYdRKQlsiwpg0MvDaf765+y4fOeLAv8mBDfHdT/\nAAAAIABJREFUEPpOyUHfUHKf0newpfVviwlr2QvuHIE1a0hbv5GIXxZyu2MYNw4sz1fozCzNafmy\nN4dXzeHqucLWPU3Ut6+PKkyFOvfJuLfLyFQHOeocdl3axRK/JWwJ2gLAlqAtLPFbwq5Lu8gppQ5e\n5F//4vbFm3x2YTXefb1p1dKNFzd+wo8bF6DKUEn3CtN+zH12RaFkVENd3+RY9EVUGSqW+y8nbHoY\nS09/g8qi8Asb/0j/QnVIzfXN8e7rXahupypChZmNZPU7cABiIgrXzEy6n8WBP6Xn8schBq+2yx/U\nSJmE/ftFkVoXCQlSeyHS04U4c0aIM2dEUlRU/t8iveJ1d0ojLSlV3AsOE/Eh10ROTKCID7km7gWH\nifQkzTV4HneqqkxCdVDsNfXNN1Le3keXR2oH3k+7L5YdWyZuJZaciry6qI50vRlJGeLY0mMiOSpZ\nqp2XmFjhsdS5auG/3F+k3a/eazt4R7BIuZdSZePJqburmLg4Ibp2FWL0aOH7zz9CjB4trd+/X+1T\njxkjfXXHjKn2qWqdqrxuA74JyC/hUx0UV55hyb8fiqQj48Xc98JEos/kwqnNMxOEOD35YT2+Auuq\newni2KdjRera9UKsXi2S//xbHFk2KT91+rNDIoVtgzAhdiBuhYTlz6cpZboQQsRcjBHX/romhJDv\nB9WJfG6rh5o4r0fCjggWUOxyJKz0OnillWkpjoT0BDF5/+RC9TsLrpeV4B3B+c8nsWf2iI+dfxfR\n4dLzf/TNBPHbyCnipu9+8cMPD/eRyyTUMl5eRWPuzM15aL7NQ1tbcsW0sJAsEBYW0rq2drXJpqOn\ni7FlOtrmWqjNndE215LW9XWqbU6ZcvLyy9C1K4weLSUeGT1aWn/llULd6hvU591u7+Jz04efL/5M\nVm5WLQlcdeiZ6NHt3W5c+PECiSoBZXSVfZTc7FxOrztNmyFtMKhvUMVSFqbl/1py/WD1W4NkKoiF\nhWT93rpVurdu3Sqt1y89TqMiyIk7K49QC5Ra1fe4oLE8gxLe00vm09+WM2Nec0x7eOP9mhST59FQ\nik08ZNSTzLMzISUczs+B9t6o1PDNjkU0GzsfwykTYepUjOub4pTSkKNj32fVnFjO/GXCrOeX03x6\nGCe3LOfbjXf56O9PNKZMB2jYriGxl2Ll+F4ZmWJwb+aOg4XmcBYHCwfcm5UezlJamZbiKIt1riyk\nJ6TnP5/E37bhg6U+LP8ig/Bw2PHNBZ4bGs2pk61wqvrokmrhqVDwyoy2NrRpI2ViUSikzzZtqlXB\n09bVxqBRG0wa2aGjq4NJIzsMGrVBW6f65pQpJwUfSC0tS3wg1dHS4Q3XN+jatCsbAzey69IuMnIy\nNAz6+KClq0XX6V0J3RPK/Wv3y71//I14Tn55ktYvtaZei3rVIGFhDOobkKHKkB/GZAA5cWdlEbVV\neuSB++bcz8ylF7QPSiosmOqf/z/r2qI/i2IzYZ8dtJmFSg1zfOYwdMw0lgYvk1y7lEpU7R1508CM\nNw6s4OKKPfzh9AK/7nyZiDhbxq/xJuuEN/2yPyzycFkQ2562cnyvjEwx6GrpEjpFc3x16JRQdEup\ng1cZKqoYFiQzKRM9k4dJAB0GdeCkrSezX5hF787hTPL8FOM+K0m0sua6+KvKZK9OZAVPRqYCXD1w\ntWiNFFUGVw9IAcHNzZsztctU3Ju68/3Z79l5YSdp2TVYRLyKUWop6TK1C2E+YVw/dJ3c7NKzygm1\n4MLOC9w5dYfuM7vn+7bXBE06N+FuwN0am0+m7lIwT5KRXgoT+m7ASE8KwntC8yRVKSnRKRg3rrps\nt2XG2ov+z5sX9r7RNcfYwQsvLylGRpEMcy31+MRkFElBn/DJnrn0zFqKrbkt3n29meMzh3BVOHN8\n5rBx8lgsHeoT1bYJw6/uwKvdAT7U+hyXtGC+OTWfxpwvUZzGnRoTdTaqeo9ZRuYx5lq85vjq6/F1\n36Pm1vFbNPNoVqitdf3/MfK7voSvtuOf4N5EJJux8+xe+rbuVktSlg9ZwZORqQAhKTYcnFm4RsrB\nmT6EpNgU6tfMrBlTukyhV/NebA3ayg/BP5CalVobIlcahVKB20Q3zJqZcfbbs5z97iyJtxILJR/I\nTs8m4mgEZ74+Q8CGAJq4NcF5hHO1JFQpiaZdm3L71O0anVOmblIwceeaN6axYdwk1rwhZXeTE3eW\nTlxIHJZtLGtbjCL06CJlv8ywX8Gbngux+XMfL0Vm8r8eks+tub45szxmYbfajlkes2hoak5oKPwZ\n5MXC1+Yzc8ZKHMddIR0D5nUfjLNuBqiLT6SiUCiwcLAg7dbj+6JORqY6sTCwoKt1V0a3H829mfcY\n3X40Xa27YmFYeh282ibhZkIhDyOVCtYsFvw62YdPTEbRx/kPhk/yo7/NoHxrYXZuNv/F/ldbIpeK\n7AcoI1MBevXXZ+4/fWGmD8/M9cB3kT8+9GVRf82lNpqYNGFS50nEpMTwQ/AP6GvrM7jNYEz1KhbT\nVptYtrXEsq0lWSlZ3PS5yY2/byByJTcupbaSJm5NcJvoVuNKXUEUSgV6pnpkqDIKFUCWeQpR5xB1\n+ndmv3iDsb22ADC21xauRjsQfdqexp2HgFL+KSyOhJsJ2HjalN6xhjHL8sd1tDczPjEgs8sXvHDv\nFntdPqZbyiGwHFooq95y/+V4P/MpacGHC18HvbdyNcaRjmPe4qvzu3h35TUMW7WBAQM0av4tnm3B\nmQ/PwOs1fLAyMo8BFoYWnBz/MOv41kFlz4Bem6hz1FIZmAKpMU8dU+H92hz0uiznrYTrTNrRmX3T\ndvHZb33y+2wP3s7N1Ju1IXKZKPVXTaFQ6AIjgbwaApeAH4UQmdUpmIxMXcY89QDeSzyY+74HwXar\niRs1He+VGZil+oB58X7fVsZWTHCbQFxaHD9f/BktpRaDWw+mnkH1x6ZVNbrGurR+qXVti1EsLf/X\nkut/Xcdp2GMSES1TPcT60+TmUJYMLdy8ZOjHcANofgSsetWGZI8F6hw1WjpatS1GUay9EBkqMrss\n4oc3FxIWBuaNFvGhzxw+qNeNZf7L8hMvePf1ZvOhMbyXulfzdRAJ017cj286eGm1hm++ASsreOGF\n/PqdIMUjK7QUZKdlo2MoJ0KTkXkSiA6KppFro0Jt/Tv4g6WUtGnPyYUsec2Hz4N+pGWTy4AbZ6PO\nYmVkha2hLfHp8dQ3qJ4kYZWhRBdNhULRFrgM9AYiHyy9gUsPtj213L9/H1dXV1xdXWnUqBHW1ta4\nurpibm5O27aFT82CBQtYsWIFAGPGjOHXX38ttN3YuBbiG2Qqh6UHehfm0kP4sorp9BC+6F2YC5aa\ns7A9SgPDBrzV6S0Gtx7M7tDdfBv4LXFpcdUs9NOFsZUxqfdSay9JhEzdoIE7mGjO7oaJg7RdRiN5\n6bbrKocunkLv9FzCwmD5ciDjgTJ3bnORrHpj+20kRa+YWn4mDpg06SclZbC3h2nToHt32LwZtm+H\n5OT8rvU61+PG3zdq4OhkZGRqgqhzUTTu+Ejlcmuv/KRN4x2eoWmTXrzffQV771/idtJt/gv/j4Gt\nBmJraEtIbEjtCF4KpcXgrQEmCSHeEEJ89WB5A5gIrKt+8aqWqixya2FhQVBQEEFBQUycOJH33nsv\nf12plEMbn3T2Bv/H3q2eWLT24UKICovWPuzd6sne4PL5Y9czqMe4DuMY6jSUA1cPsCFgA3eT5eQg\nVYWVixX3LtyrbTFkahMtXXhec3Y3ng+VtstoJC02DWOruvkCUqWCo5v7s+JzPZo3B29vmDMHyDBn\nwTMLimbVM2yI8ZBbmgfTdB00bQqTJ0P//vDTT7BpE8THo2+ljypCVacVXxkZmbKjzlajpVvUSyGv\n/IKhth4otchQmTOlz8ssOrqIsR3GolAoaGbYjCv3r9SC1KVTmiZiLYT459FGIcS/QCMN/es006bB\npEnSp4xMZbAItWVptAWtR75N07N2tB75NkujLbAIta3QeKZ6przh+gavu7yOf6Q/q0+u5ljkMdSi\n+KB/mdKx6WFDhF9EbYshU9ska87uRnLdz+5Wm8SFxtGgdYPaFkMj/v6SUpeXZdPcXFovsexFRa6D\nhg3hrbdgyBDYu5fG+/bRsLE2cSGyx4WMzONOblYuSh3NqpCXgxfmusagkJS/6GhI1r3K6y6v579A\n0lXqkplTNyPWSovBUyoUCr1H4+0UCoV+GfatE+TkwO+/w40bhYvcOjhInhhDhlRrmTuNzJo1i0WL\nFtXspDJVSmI9V/Z8F8GNU89Dbz9uHB/Jnu/2cyG4YgpeHka6Rrza7lWEEJyNOsuGgA2AlKTFtZEr\ntma2hQKBZUpGqa1EW0+brJQsdI1lS81Ti54FWHQFU0fosALOzYSkK1K7TLHEX4+nabemtS2GRrw0\nhDqbm2tuz6cy14G5OYwdS8zBg3jEXuHsZ/9huexVsKl7CWhkZGTKRlxoKVmC0++CgXQPjI6GWNNg\nRjd7o4akqxylqTbbgN8UCsUUIUQEgEKhaI7kurm9ekWrGvKK3D5KXtHbI0egVxXG1xf38F2wffny\n5bzyyiv563IM3uOHVz8VnF8GvXbQ7Ov2REw+j034Mmz6eQPFF8stKwqFgk5NOtGpSSeEEESlRHE+\n+jwHrx1EIDDRNcHFygVnK2eUCtkluCTs+9tz4+8btBnSprZFkakt9Cyg/8Psbrg/HtndapvcrFyN\nrkuPLVVwHagNDNAaPRLt9NNkHj2JnmofDBsGDeqmpVNGRqZ4YoJjcHzRsfgOaXfAUFLw4uLAsGlG\nkef8BoYNiE2NxdKobpWTKVHBE0IsUigUUwA/hUJh+KA5FVguhFhb7dJVAXlFbq9eLbqtOorcWlhY\nkJCQUKgtPj4eOzu7qp1IpnaJ9SfR8QOW+i0jbHoYS/2Xs9jzA8xi/cG6pFfI5UehUNDEpAlNTJrk\ntyVnJnM+5jxrTq3B1tyWga0GVumcTxJmzcwI3V1MDJaMjIxMBWj5Qhuu+xvRbqwX/Pwz6OvDK6/I\nhRVlZB4jMpMy0TPVK75D+h1o2Dt/VVOKjbaWbQmJC6lzCl5pWTTfB/SA1QWWrwDdB9vqPAWL3D5K\ndRS5NTY2pnHjxhw+fBiQlLu//vqLHj16VO1EMrWKysKDj/2kNNzNzZvj3debj/2WobIoWxbNymKi\nZ0IPmx5M7zYdFysXvg38lsP3DpOrzq2R+R83LBwtiAuVY2ZkZMpK2v00DOoblN7xKcWkiQkpUSkI\nQ0MYNw48PWHdOsktSE7AIiNT5ylToqTM+/ku3Bk5GRjpGBXp0sqiFdfj6148d2m+XSYPlo7AaMAM\naIKURbNj9YpWdVwrJq76ejX9P7Zt28bChQtxdXWlT58+zJ8/H3t7++qZTKZWyMuuVDANt3dfb/wj\nS4rwrx5a1GvBlC5TaGPShi9OfEFkYmSNy1DXsXvGjjDfsNoWQ0bmsSEuNI4GbWS3w5Kwam9FTHCM\ntNKsGbz3nlQ3b+VKKfBfRkamzpJ0OwnTZqald3zgkhmXdh+7ekW98XS16maildJcND8FUCgUR4GO\nQojkB+sLgAPVLl0VYWEBXbuCoyOsWAEzZ8KVK1J7VbBgwYJC623btsXX11dj3y15mV4KkFIVdRtk\nahQvh6JumOb65hrba4rGBo15pdsr7LiwAzM9Mwa1HiQnZHmAlq4WCqWC7PRsdAyqp0BxVmoWl3+5\nTGZSZn5WLjMbM5q5N5MtITKPHfev3sd5uHNti1GnselhQ8D6ABq1L5BUvGtXcHOD3bvhn39g+HAw\nM6s9IWVkZDQSExxT+LtbArm5EJ8RS4t6LYrtI4SoU89cZc0faQVkFVjPetD2WGBhAScLxFVvlePr\nZZ5QdLR0GOM6huCYYNacXsPULlPlJCwPsO9nz/WD16s82UpuVi6he0JJi0uj7attMbKUXDiEWpB0\nO4mQ30PQNdGl7cttUWrL/wuZx4PczFy09asvxfSFC3Dw4MMyBwBqtVSRQOsxyeui1FKia6JLRmIG\n+mb6DzdoaUnxeImJsHOnlIBl8ODH58BkZJ4CEiMTaTWwVZn63rsHwjCGRsYuGrdbGVsRmxZLQ6OG\nVSlipSjr3XsbcFqhUOx+sD4I2FItEsnIyFQaFysXjHSMWHd6HVO6TJGVPKBei3pcO3iNzORM9ExK\nCKouB7lZuZxcdZJ2Q9thbls4e6pCqcDMxoyO4zuSEJbAydUnselhQ9OudTPtvIxMTXHzJvj5waxZ\n+d5PAISFwebNMH587clWXloNaMW1P69ptnaamcHEiVI8yKpVUpxely41L6SMjExRRPGZ7wHITgFt\n6YVtdDSYWKQW+yzVukFrLsderlMKXpme+oQQ3sBYIOHBMlYIsaQ6BZORkakc9vXtGdBqAF+f+Vou\nmP4A5+HOXNx5sUrGEmrB6bWnaT+6fRHl7lHq2dXD/X13MhMzCd4RXLbgbhmZWiL1XioGFpV3KxYC\nsrMLt929C3v3SnrPo89WdnZSduu//6701DWGUUMj0mLTSv5Ot2wJ778PaWnw5Zdw+3bNCSgjI1OE\nzORMdE1KybKYfhcMpOzlUVFgapFWbNeW9VvWuUQrZfa/EEKcBc5WoywyMk83QkBGjFR4NzUMcosJ\n2tUxkdL2GjbRvL0ALeu3pL99fzYEbGCi28Sn3pJnUN8A/Xr6xN+Ip759/QqPI4QgYEMArQe1xrhR\n2epYKhQK7J+zJ/p8NAEbAnCb4IZCWXf89WVk8rh1/BbNujer9Dg+PnD+vJR3pGlTcHKCX3+VcpFo\nSjcO0LMnbNsmxck7llCeqi7RxK0JdwPuYt3ZuvhOCgX07g3du0snIT1dis8zNCx+HxkZmWrh3oV7\nWLmUEmmWfgcMpe/07bvZNGxf/ItyXS1dsnOzi91eG1Sfg72MzNOKUEN2ImQlSCb+3DTISX2wpEFu\nKohHyhkIAQjQbwimraFBV9DS1zg8WQkQfVh6u6RvBY37g27xQfytLFqhpdTii+NfMMFtAqZ6Zcga\n9QTTZkgbTq46ifv77hUOiA7eHoxNDxvqtahX7n0btW+EnokeJ1edpMvULk9WIWmZJ4Lku8mYWlf+\nPnHpEsyYIf0dGQmnT8O0aaBTSp6jUaMkj8aGDaFe+b9iNU7Tbk05ve50yQpeHrq6MGIExMbCpk3Q\nvDkMHFi8xisjI1PlxF6Opf3o9iV3SrsL9d0AiEq8T88Gpb/0qkuJVmQFT0amstz6HTJiH64rFKBj\nBrr1QNtY8uHWawBahqBjLH0qK/HV060HNi9Lf6dHQ+QvoFCipS7+bVSLei2Y4DaBjYEbGdJmSImZ\noJ50lFpKmvduTphPGC2eLf95uH3qNsaNjUt/+1cC9VrUw2WUCydXncRtkluVxQTKyFSW3OzcKkkG\ndPkytCmQz8jGRlrKglIJEybAt9/Cu+9WWpRqR6FUYGhhSEp0Spkt+lhawtSpkhb8xRfQvz+4aE7g\nICMjU7XkZuWW/nI1J0XymALi0uJKfW5qZNyI6JRoGps0rioxK4X8yqgSREdHM2zYMOzt7enUqRMD\nBw7k6tWrAPzvf//D3Nyc559/vkJjN2/eHGdnZ1xcXOjVqxcRERFVKTq9e/fG0dERV1dXXF1d+fXX\nX8u1/6VLl+jTpw+Ojo60atWKhQsX1khc0aVLl3BwcCA9PT2/zcvLi507dxITE8Pzzz9P+/btadu2\nLQMHDgQgPDwcJyen6hOq2RBoNeHh0vJtsB0KjZ8Dy+5Qrz2YtJRcKnVMK6fcPYpBI2g5HpoOomG6\nL9zcCrkZGrua6pnyvvv7HAk/wn/h/1WdDI8hTTo1IfZyLJlJ5atdk5uVyy3/WxVSDB/FqKERbhPd\nCFgfQOq91EqPJyNTFcScj6GRa9lSh5fE4cPQp0/F9zcykioOHD5cwQEy7kFyzdWiaz2oNSG7Q8q/\nY7t2kpnz7l346isp2EdGRqbaUOeoy/0SS5WRQFPTkhOktW/Unri0uMqIVqXICl4FEUIwePBgevfu\nzY0bNwgMDGTJkiXExEhFT2fNmsX27dsrNYevry/BwcH07t2bRYsWVYXYhdixYwdBQUEEBQXxyiuv\nlHm/9PR0XnzxRWbPns2VK1c4f/48x48f5+uvv65yGR+lXbt2DBkyBG9vbwD27NlDdnY2w4cPZ968\nefTr14/z589z+fJlPv/882qXp86gV58oo+ehyQC4uhZUFzR2UyqUjOswjtTsVPZd2VfDQtYtXMe4\nEvBNAOrcsiegufjTRZyGOVWZC4aeqR7d3u1G8A/BJNxMqJIxZWQqQ9TZqEorePfvSwkktSv5Lsvd\nHUJCQKUq4w5xp+Hq19Jyzw/uHoC0mkloomOog76ZPsl3k8u/s1IJ//sfvP22VDtv0yYpIYuMjEyV\nExMcg2U7yzL3FwLUQo2WsmSLX4t6LXC2qju1Q58OBe/OAch65BciSyW1VxBfX190dHSYOHFiflv7\n9u3x9PQEoG/fvpiYmFR4/IK4u7tz586d/PWVK1fi5OSEk5MTq1atAmD58uV89dVXALz33nv0efDq\n9PDhw4wcObJK5Mjjxx9/xMPDg+eeew4AQ0ND1q5dm69Q/ffff/mWwQ4dOpCcnMyRI0fo1asXw4YN\no0WLFsyePZsdO3bQpUsXnJ2duXFDetMaHh5Onz59cHFxoW/fvkRGRhaZf968efzyyy8EBQUxe/Zs\n1q1bB0BUVBRNmz58w+LyNLq76DeE1jOkN9c3NoNac9DvwFYDMdc358cLPz61GR31TPVo91o7zn1/\nrkz9EyMTUWorMWlSNd/rPLR0tej2bjeuH7rOvYv3qnRsGZnyos5RVzoudP9+qKDzShFGj5aSrpRK\n0lVICgGHydJi8zK0nAjhP0px0TVA68GtCd0TWvEB9PWlA37+eUnJ++MPqTigjIxMlVFqQiR4kBdB\nIikJ9I2zSuhcN3k6FDxLDzg/56GSl6WS1i09KjzkxYsX6dSpUxUJWDJ//fUXgwYNAiAwMJDNmzdz\n6tQpTp48ybfffsu5c+fw9PTEz88PgICAAFJSUsjOzsbPz4+ePXtqHHfkyJH5itj9+/fLLM+lS5eK\nHLu9vT0pKSkkJSWxYsUK1q1bR1BQEH5+fhgYSOm2z58/z6pVqwgJCWH79u1cvXqV06dPM378eNas\nWQPAtGnTeOONNwgODmbkyJG88847ReY3NDRkxYoV9OzZk2HDhtGqlVSocsqUKbz55ps888wzeHt7\nc/fu3TIf0xOFQgHNBkHjfhC6snB8YAF62vakdYPWfHv226e2jIK5rTkNnRty5Y8rJfYTQnBp1yXa\nvtq2WuRQKBW4TXQj7HAY6fHppe8gI1MNJN9NLnsMWTFkZUFqatUlRzExAVdXOHq0pElVcOcPsHu9\ncLuWLlg/D7f3VI0wpaBjoINBfQOS7iRVbqCGDaX4PHt7WLkSzsoJzGVkqgIhBLnZZYi/y4oHPSnT\ndsTtLCwsZQWvbqJrDu29JaUuJVz6bO8ttddhnnnmGaytrTl48CDDhw8H4NixYwwePBgjIyOMjY0Z\nMmQIfn5+dOrUicDAQJKSktDT08Pd3Z2AgAD8/PzyrYqPUtBF08LCosrk9vDw4P333+err75CpVKh\n/cBPp3PnzjRq1Ag9PT3s7e3zLYDOzs6Eh4cDcOLECUaMGAHA66+/zrFjxzTO8cILL2Bubs7kyZPz\n2/r378/Nmzd56623CA0NpUOHDsTGalZungoMm4LjuxD+g/R2WwMdG3ekl20vNgZufGotec3cm5GT\nnkOkfyS5WblFtuem5xLyWwh2fezQ0qm+jJcKhYKO4zty9ruzCPXT+b+QqV1uHb9FM4/KlUf491/o\n16+KBHpAz54QGirVxyti0FLnwPWN0GoiaCoDY9ZWUgDTauaFX+tBlbTiFaRtWyk+Lz5eSitawJNH\nRkam/Ny/eh8LhzI876bdAQPJynfhRiyOzYvPVF5XeToUPJCUuTazYJ+d9FlJ5a5du3YEBgZWeP9b\nt27lW882bNigsY+vry8RERG4uroyf/78EsfT0dHBzs6OLVu20L17dzw9PfH19eX69eu0KZjKrIzs\n3r07X76AgIBC29q2bVvk2G/evImxsTGmpqbMnj2b7777jvT0dDw8PAgNlX7s9PQeZgpUKpX560ql\nkpycnHLLqFQqUT6SWrp+/fqMGDGC7du307lzZ46W+Nr3KUBLDxynQ9xxuKf5XDg2cMSjmQdbgrbU\nrGx1iLavtiU3K5fgH4IJ+Cag0BJ3LA4zGzMad6z+zFg6hjq0faUtwT8EV/tcMjKPknovFWOrylnw\nrl+HB04VVcrbb0PjxrBmDezbV6CA+s1NYDtMylasgbt3IYxREL6jkNtVdaGtr42RpRGJkYlVM6BC\nAc8+C5Mnw3//wfffQ0pK1YwtI/OUccv/FjYeZUjnm343vwbepZvxdGxVNzJjloenR8HLUkHIcngx\nTPp8NCavnPTp04fMzEw2btyY3xYcHJzvJlkazZo1y7eeFYzjexRtbW1WrVrFtm3biI+Px9PTkz17\n9pCWlkZqaiq7d+/Ot9B5enrmuy56enqyYcMGOnToUKGEEIMHD86Xz83NrdC2kSNHcuzYMf79919A\nSrryzjvv8MEHHwBw48YNnJ2d+fDDD+ncuXO+glcWunfvzk8//QRIFsbirI+aOHz4MGkPAtOTk5O5\nceMGNmXNy/0ko1BCizFSTb7bezV2cbZyxtnKmR8v/FizstURFAoFds/Y0WFcB9wmuBVarPpZYd2l\nDPWtqoh6Leph2MCQ26dqJjmEjAxIGWKVOpV7JLh5U/IqrC6cnWH6dKn8wnffwc8bznLigh2xadJ9\nXghJ8YuPh99/l5JSHj8O//joci25L9yrmezBji85Vp0VL4+8+nmDBklBiXv2yPF5MjLlJDs9Gx3D\nUgpxwoM6w5JSdzs2kbZNK+fZUBs8HQpeXsxde28wbv7QXbMSSp5CoWD37t38+++/2Nsz83T9AAAg\nAElEQVTb065dOz766CMaNZKyj3l6evLqq6/i4+ND06ZNOXToUIXnaty4McOHD2fdunV07NiRMWPG\n0KVLF7p27cr48ePp0KFD/pxRUVG4u7tjZWWFvr5+uRSksmJgYMDevXtZtGgRjo6OODs707lzZ6ZO\nnQrAqlWrcHJywsXFBR0dHQYMGFDmsdesWcPmzZtxcXFh+/btrF69usz7BgYG4ubmhouLC+7u7owf\nP57OnTuX+/ieWKwHgo65VDdPA25N3LA1s+X3kN9rWDCZR2k1sBV3A+6SEi2/qZepGaLORtGkU5NK\njVHZ0ghlpVUrmDQJXut1BOuOz+LrCxs3SnXztm+HQ4egc2d45x145RV46y3wu9SB25cvV79wgLae\nNpbtLLlzuhpcKi0sJGte27bw5ZdS9XgZGZlSSYxMxKxZGV0t1dlSDC+QK3LR09atRsmqCSHE47AU\n4fLly5qaNXN7vxCZCYXbMhOk9mJISkoq+/gyZaYun9dyXVN1EF9f37J1vOcvxM0fit3859U/hV+E\nX9UI9QRQ5vNaxeRk5gi/z/1EZkpmrcxfE9TWuX0aKPO5zZGurzMbzojc7NwKz5eTI8TatRXevfzc\nDxAi2rfM3dVqIY5tWS/OBmZXatqynle1Wi38V/iLnMycSs1XyiRC+PoKsXKlEBER1TdPDSHfD6oH\n+bxKnP/hvEiLTytb56sb8v8c8dGRYrvV0rktk+70dFjwrL2KxtzpmkvtMjJPG5bdwdQRbmzSGJMy\noNUAQuNCCUsIqwXhZPLQ0tXCbYIbZ74+U65afTIyZSIjDq6shbAtiKvrUd85ivLmBrgfUPq+Gjh5\nUqpbV2PE/AcNe5W5u0IB3b06ciPgHPdqoBqJQqHAaZgTF3+6WJ2TQO/eMGUKnDghmTGTKpnBU0bm\nCSVDlYFBPYNy7ZOrzkXxmKpKj6fUMjJ1jJwcCKjYc1HtYOEGDbrBlVWQm1Fk87gO4/j18q8kZcoP\nC7WJvrk+TkOdCPwm8KnNcipTxeRmQdgOuLMP7MdCy7e5lzmEhn2HSPXjEi9DfPnT8p87J5UzqBHi\nA6F+J0nBKQeK+h3p3+UcPj7VJNcjmFqbotBSVF3CleLQ1YWhQ+HVV+GHH6QsNHJ8noxMPqmxqRhZ\nak7EVAR1bn5G3juqWMyNyrhfHUNW8GRkqgBtbTh27DH7TTVrC81fhyurIT2m0CalQslEt4l8E/AN\nueqipQNkag4zGzOadmvK5V9qJn5I5gkm8z5c+RKseoP9uPzMk7dP3KaZ+4MkAnavQ0IQJJQ9k2tS\nEhgbg7Kmnihi/oOGmuu7lohSGxPDHOLiau5lSbvX/s/emUdHVab7+tlVqVRlnkMGMpAJCCQECPMk\nowiIiIBAY4OKijIoDqf79Ol12nu7vefe1SqDyKSIIgiiqIAoigwCAjJImCEhEEIImRMyD5Xa948P\nAoHMqTHsZ60srV27vv1VUbX3fr/3fX+/Lpz98qx5Fmg8PER/XkSE8M8zU8+hgoK1c+3Xa4QMDmna\nzuWZoBN6Gpdv5BHs52jCmZkOO0tPQEGhrTB4sAjy6vGVt0503tBxISStAN+BYlX8Ni5aF6Z0mcLy\nY8uZ23suqro8phqjNA0KzkLpdbhjpl7fqnvNDZAMSEKi2HcIaFyaf9w2hn8Pf0qySkj5NYXQIaGW\nno6CLVKaLqwCohaA3d0yJdlwn/GvJEHYs5D8MUhqcO/S6NC7dhnf+65eWpi9q8Elgki/JNLTowho\nnaZMk1Br1ISPCuf8V+fpMqXxz9IoREdDp07www+wbx9Mm2Y853kFBRujsqSSgpQCoidFN+0FpWk1\nFgnJaQWEBjQxMLQylABPQcFIdO8uRM1sKsADoRTVcQFk/AIXF0P78eAcBkCIewiPRT7GsqPLmNd7\nXuNBXmUBFJwWZV6yQZitu8eA3whQNeN0IxugJBVSvwZ9EXjEgXf/5o3RxogYHcGpdafIPp+NT7SP\npaejYEsUJcON7dDpNVDVlgjPOptFu5h2tfeXJAifDckficeNBHnp6RBoDicRWRbZu04LWz6GzwAG\ndvyKbfuimD7deFNrCL9ufpRklpD8czLho0zoI3EvKhWMGwdFRbBxo1DfnDAB1GrzHF9BwQoozSnl\njzV/ED8nvvGd71CWLlpYgNSMEib0bJ1vtqV4eO+WFBSMjCSJHpRTp6BbN0vPpplIEviPFKVbN7ZD\n+k5w6wy6dkQ4+TE+6nGWHF7M/N6vYCcBVUVQdhPKM8R/q4X/IBp3EdBFvFhTw96y+aiEpYnzs+Km\nLj8BklaCxhkCxoDO1whv2vaIfSaW35f+joOnA85+rTOkVnhIKEwUizcdF9T5m0w7kkbcrDqa5yQJ\nwl8QmTy5Gjxi6xz+6lUIMdcCd84RcePV0uwdgJ0TzroScnONN62mED4qnPNbznP98PW75bDmwMVF\nuMQnJYkVyBEjzNgsqaBgOQquFXD+q/P0fbUvdrpmhDsVWTX3GNnZMkE2WqKp9OC1kNzcXOLi4oiL\ni8PPz4/AwEDi4uJwd3cnOrp2Gvjtt9/m3XffBWDWrFl8/fXXtZ53dlZu1NoKjzwiKmJsFpUGgiaK\n/hyHQKjIgczdhObuYqZLJbt3/5nqlC8g+wDoi8ElAoInQ+TL4i90Grh3bV1wdz+SBJ7doeM8aD9B\n3KxeWgoF54x3DBtBkiR6vdyLU+tOUVlSaenpKFg7ZRmQ/gNEzqnzN/lAeeb93Mnk5R2HvJN17rJ9\nu4gZTI4sQ84h8DaCVKfOj7CADG6YwKauIaKfiib3Ui5Z58wg43k/kZHwxhuQmQkffAA5Oeafg4KC\nmchNzCXx+0T6LmxmcAfiXHP7fFlaZI+nZysWlCzIwxXgVRWLLEBV682Dvby8SEhIICEhgTlz5rBw\n4cKaxyqzdZorWBsqFQQHw5Urlp5JK1HrwDVKCBkET4aIF/GM+SvRfd/jo/xKEQT69BelnHZmXN2y\nd4fQ6RA5F8puwMVFkPN7nXYPbRW1vZqeL/Xk6LKjVBYrQZ5C3agNpXD1M4h8pd4Fl8wzmbSLbVfn\nczXc6ckrOA05tU21f/1VlKY7muMUkLkX2g1tXfbuDr6DGNJ5P3v3tn6o5tJtZjeu7b9GbqKZU4gg\nPrtHH4Xnn4etW2HTJqiqMv88FBRMTOL3ifR6uRcqdevux6urVdjZaK3jwxWJnJgPx14W/1VQMBFj\nx8LXX0N1GxSfDHILIrZdLDsSd1h2Iio1+I+Cjq+J8rEL74q+v4cEnZuO+DnxHF12lIrCCktPR8Ha\nMFQRULJVZNXV9vXulnYkjfZ92jc+niRB2EzRm5L6FcgyhYWiHH3QICPOuz5kgyjT9uxhnPF0vjjb\nZZOfb5zhmoMkScS/FM+V3VfIvpBt/gmAiMiffx769oWlS+Ho0cZfo6BgI6QfT8e/hz+SyjYzb8bC\nYgGeJElqSZJOSpL0vUkPZNDDtc1w7n/gyqdi25VPxeNrm8XzZuatt96qKe+MU2rh2xz29jBlirAj\naov0D+rPrYpbnMuyghJJSRKZxM5vQNFlSFwOlSb2nLISdG46es3txbEVxygveNDLUOEhRJahMAku\nvk+m40jQuNa/q0HGoDfUX55ZF0ETwCUSEj/g888qmDWr9VNuEuk/QsBo445p50yH9kWkphp32KYg\nqSTi58Rzbf81y5Rr3iE0FF5/HUpKYPFiyMiw3FwUFIyALMtc23+NkCEtbAzWl4kKJsAgG5C4L0gs\nbn0FoLmwZAbvVeCCyY+S/Rv89jSc+lvt7af+JrZn/2bUw0n1lI/cu/3f//53TTlnQkKCUY+vYB2E\nhgrRshMnLD0T0zCt6zR+Sv6J3FILlBnVhaQS6p8dZsC1LyBjj6VnZBa0Llr6zO/DidUnTG+mrGC9\nlOfAlXWQuAyKkyFqPpVq7wZfknk6E79ufs0/lkccv2dMZXToYlz1f5i+PNpQBUVJwrfTmPgMYGjX\n3yzWMy1JEj1f7Mn1366TccqCgZUkwdChMGcO/PSTWJmsVEq/FWyT9GPpBMQH1Hsv3ijlN8HBH4C8\nsjyc7O8xOa+stKmVe4sEeJIktQfGAh+b/GDe/cAlqu7nXKKM07B9D15eXuTfV/eRl5eHt3fDF1uF\ntsfYsXDgABQUWHomxkeSJObEz2HNyTXWZYSucRVlaZIEyZ/c9d5rw2gcNfR7vR8p+1K48M0F8xgq\nK1gHsgxp2yHtG2j/BHScLzJdTeiLvXHsBoG9m+9tkJEBv5/yJXzcW0Jo6dJSUQ1TVdSSd9A4advE\n4o2xcQ7HSU6mtBSLZPFAnEd7vNCDnAs5XNp2yTKTuINOBzNnimBv2TLRYKmcSxRsCFmWST2YSvCg\n4JYPUnpDCMwBmcVZuNjf48N78KCZatKNg2SJmwFJkr4G/gdwAd6UZXlcHfu8CLwIsOuJqT3tDbXn\n6fLGK0QENPHiJMu4HI98YHNRfJJRGrb/z9IlODs5seD52QAMmTiB//3WXxjSrx95BQUMnzKJLR+v\nISw4hDl/+Q9GDx3KhNGP1bzePy6WmwmnWz0PhdZxOf0GRe8tN+qYsixRWmWPo33F/Yl+o2MwGMwu\n8CMjo5er0UjW14UsqfRo7CuorHAAueWfiyU+15ZSWammrEiDs1sFajvrvzmzpc/W2pBUBjT2Zeir\ntBiqH/z9NfbZFuZrcfVoXv+mvlpNhcEOR03t85mkqsZOUwnIVOvt65xPi5BkNPZlVFWYRsVFoy2l\nssKB0kodDpoqVFLjC0Km+s5WlKupKLPDxb3CKDoyrUY2gMEg+p3NNCHlfGAaHpbPtaJMjYyEzqHl\nrVd29uXoq+xBVqGXDVTqtThqbgsRVetBXfvcZonPdvC2TU36QZr9rkySpHFAlizLJyRJeqS+/WRZ\nXg2svvPw/ucvXLiAS2QTDUMLE+vc7OIng2tEnc8VFRXh4uJS53P3o/XyROvsXDOf9V9+ydy5c/n7\n+8Ia4X/96190Gz4MAI2rCw7+frXnLklNfy82TnM+V3Oj01fSfdsmo4+bmAh79worIlNeJ/ft28fg\nRx4x3QHqYVfyLiQ7HYNCrHBlS18CSauEd55bpxYNYanPtaXoy/WcWncK91B3wkaGtbxUxQzY2mdr\nNWQfgltnocOfa/pF7qehz7boZhFph9PoPLFzkw+5cyfk58PUqQ2cxwxVQu3y1nloN6xe77wmk/yJ\nyExqvVo3Tn3k/QHV5VS592fRIpg1C3wbsdg05Xe2OKOYU+tOETM9Btf29fdPmg2DQZRtJiXBxInQ\nvgmCPK1AOR+Yhofhc5VlmSOLjtB3Yd/WXfOSVt328ZVY/sv3eBcPYfQEF1GKtW0b/PnPtXa35s/W\nEsvuA4DxkiSNAXSAqyRJ62VZnmGyI2q9wKsPuHaE7u/CyTeh8JLRLhpvv/12rcfR0dHsrUd/+dNP\nP31gW7ENNW0qNJ+oKCgvh08/hWeftfRsjM/I8JGsPL6ScM9wAlwCLD2d2tg5QafX4Nom0ZsUONbS\nMzI5djo7er7YkxtHb/D7kt+JezYOnVvdQUBTkGWZwrRC0o+lU5JdgiRJNWWg915I7912f2WIvZM9\nvjG++ET7oNY0Q9RD4UFyjkBJqrgJaSHXf7ve5DKmqir47DNhoza6MZ0TlUao2/qNhEuLhY2KpoU+\nr2UZINmZLrgDcO8GyavR+PTn1VeFzsiLL4KHh+kO2RDOfs70XdiXM1+cQeuipdOETpZVAlSp4LHH\nYPhw2LIFCgvh6afB3d1yc1JQqIPMU5lCOdMYC5q3x7iRWU7PiNvnr127YOTI1o9tRswe4Mmy/J/A\nfwLczuC9adLgDsQF4tEjdx/3+8ykh1NQuJ/YWKiogI0bYdo0S8/G+DzX/TkWHV7E6/1eR6PWWHo6\ntZFUwjsv53ehshk+u0Hp+LZCYO9AvDt7c+qzU2gcNXhFeeET7YODp0Ojr62uqubG7zfIPJ0JgGt7\nV9r3a4+Lf8uy7xVFFWSdySLh0wQMVQYcPB2IHPNg2bxCI+Qeg6Jk6PCnVg1TklWCc7vGA6+kJPj2\nW3HOCgpqxgHueOddWSv6AltC6lfit2pKVGpRiigb0GpVzJsHGzaIIM9SqDVq4mbGkX0hm0PvHSL2\nT7G4BFi46sXeXnwJbt2CzZvByQmeegq0WsvOS0HhNtcOXKP33N5GHbOkQIePz+2AMSMD/P2NOr6p\nsb7GGQWFNkqvXiKTt3mzsFFoS9ir7ZkRO4P1p9fzbHcrTVN69wGnYLi0CDrMAodGDJ7bAFoXLb3n\n9UZfoSc3MZfkn5Mpyy+rWeV08nXC0ccRg96AocpAdWU1t1JvIakl2vdpT/yceKNkELQuWoL6BxHU\nX0QJxRnFnPvqHOln08kPzsdOZ0fe5Tzyr+ajL9fXzE+WZUIGheAT7dPqOdg8eSdF6WPYzFYNoy/X\no9bWzqLm5cEnn4CLiwjkOneGw4dFAufNN8V/m429O3h0v2tQ3hxuXQSnELBrfDGi1bhFw60L4N4F\nJyehK1JeLjRHLIlPZx88wz05v+U8ZXlluPi7EDIkBEcvc7jK14ObG7zwAqSnw6pVEBYGY8a08Aui\noGAcSnNKcfBwMHq2u+SWDi8vICUFQlpou2BBLBrgybK8D9hnyTkoKJiTQYPg+HH48ENxnbRvQ4mk\nQNdAdHY6ruZfpYNHB0tPp24c/KHjQkj+CLx6g1cvS8/ILNhp7WgX0452MXeDWlmWKc0upTSnFJWd\nCpVGhdpeTeSYSJOXhTn7OdPj+R4U/FxA1lnhA+YR7kFAfAAax7sZYFmW+X3J7zj7OTcp89hmKUyE\nvGMQ/kKrh0o/LmTE72AwwMcfw7x5Iqi5fh3Onxce2GFhrTyY70CRNXfvBlrPpr1GNkD6Dui0sJUH\nbyJefYW1insXAB59VLSdPfGEeQ7fEGp7NTHTYgAoSi8i+edkSjJL6Di+Ix5hFqojBQgIgAULxBdl\n0SLo3198Yay431eh7ZK4I5GO4zu2fiCDHqS7i19lxfa4uABb9ojSZBtDyeApKJiZ+HjRq754sVCl\nbteGEkmTu0xm0eFFvNn/TesV91DbQ9RcIb+esglCpogyTktRVQjl2VCRC5W5UJkP+lLAcFemXFKD\nvRvYe4FrJxGotvLzlSQJJ18nnHydGt/ZRKjsVXQcVf+F+Y5X2NFlR+n3Rj9U6ocwU1CWKQKejq8a\n5QY662wWPV/sWfN440Z48klwvJ0YCgkx8mJ12CxIWikCtqbMP/kTCHzcfL9JOweoLq95GBoKW7eK\nn541ncJcAlyImRZDdVU1l7Ze4vLOy3R5uotlM3rR0SLde+iQCPTGjoWORrjRVlBoIga9gcqiShw8\njLAAWJENOqGyJMsyMqDCAKWloizZxlACPAUFC+DnB6+9BqtXQ9euMGSIdd1MtBQ7lR0jw0fy4+Uf\nGRM5xtLTaZj244XY0qWlQgwi4DEhEmEKZIMQjShJEX9VhXefs3MR5aL2nuDWRZS2qZ1Ef9AdDNVQ\ndQsqciD3KJSli+1qLejagc5PBH0OAW3ji3QPGkcNXZ7uQsKnCfR4voelp2Neqorh6qci62yEgEeW\nZWSDXJOh/eMPUZYZacp2SDtHoWKbvAYiGumpu7YZPOLAtR7vWlPhEAilaeAoVCJjY+HMGfFfa0Ot\nURM9KZrK4krOfHEG9w7uhI+0oAq3JMGAASKDt2MH/PwzTJpkc/1KCrbJ1b1X6TDMSBVDZRniWgoU\nVhTiaOcoTpI9ezbyQutECfAUFCyEvb0oi/r9d3j/fZgwAcLbgFtGnF8cB1MPUlhRiKvWCqS+G8K1\no/grTISkFaBxB49u4BLVuv6f6gooOAMFp0V2QGUnLhxOoRA4ThiyNweVWpS4aT1r3/xWV0JFlrgw\n5Z2A0q2331cnUYLaUgVDK8M9xB2PMA+u7jHixdzaMVRB0nKIfNlookD5V/JrSvvy8+HAAVFpZ3Lc\nOglT9JRNEDq17n3Sf7qteB1vhgndh+9guLlTiDEBgwfD8uXWGeDdwd7Znp4v9uTa/mv88fEfxD0b\nZ9kMt1oN48dDWRl8/bVQFZsyBVyt/BqgYNNkn8823gJHeYZYZAUySzJx0brA0d3w0kvGGd/MPIT1\nLsYjIyODqVOnEh4eTs+ePRkzZgyJicJzb/To0bi7uzNu3AMe7k0iNDSUmJgYYmNjGTJkCNeuXTPm\n1NHr9fztb38jMjKSuLg44uLieOedd5o9zrlz5xg2bBgdO3YkMjKSf/7znw9IpJuCc+fOERUVRVlZ\nWc22sWPHsnHjRjIzMxk3bhzdunUjOjqaMWNEJiklJYWuXbuafG7NpU8fkc1LSIAVK+DqVUvPqPXc\nEVyxGVyjoOMCkdXTl0LqlyLgS1qJT9keyD9dq4yrFrIMVUXCUyv5E9FzlLJeZO1Cp0PUK0LSvv14\n4QvW3OCuIdT2IuvgFS/Gj3oFIueIbN71b26/hxWQsvH2e6g03rHNTIehHci5mENFYfPMuW2Ssgy4\nuAhCZxj1+5J2OK1G6GbTJtEHbLaEr1c8OPjBje8ffC77MFSXgN9wM03mPrSeIjt++9qlVgs9kbw8\ny0ynOYQMDiFsZBiH3ztMWX5Z4y8wNQ4O8Mwzwjfviy/gq6+gutrSs1Jog+Qm5eIZ0cTe3qZQnllT\noplVkoWLSgcajTgh2CBKBq+FyLLMk08+ycyZM9m0SZhjnzp1iszMTKKionjrrbcoLS1l1apVLT7G\n3r178fb25h//+Af/+te/+Oijj4w1ff7+97+TkZHBmTNn0Ol0FBUV8d577zVrjLKyMsaPH8+KFSsY\nNWoUpaWlPPXUUyxfvpy5c+caba510aVLFyZOnMg777zDv/71L7777juqqqqYNm0aL730EiNHjuTV\nV18F4PTp0yadizFQq4XqdGkp/PILbN8u+vSGDbNNyyF3nTtBrkGczTpLV1/rC6rrxd4dfPqJv9vk\nX992O/uwEQy3AyRJutsfB2DnDC7hEDLNPMp/DSGpwK2z+LtDZb5QYExZD4YKQBJlqe4xIrNoI2Wd\n0ZOjubj1It2e6WbpqZgGQzVc/xr0JaLnTm1cGfqKwgq0rloqK4XwoaO527faPSICvOQ1QtCA278h\nx2AImvjA7lfzr+Jk74SHzgONWkNhRSHHbhwjMTeRMn0Zg4IH0SvQSEJJ7jEi637bnH3cOPj++wd8\nja0S9xB3es/rzdFlR4l/OR6tixXYF3h6wpw5cOWK6M8bNgx6PGQl1gom5eqeq3R/trvxBqyuALWQ\nz80oysI1TQuTHjHe+GbmoQjwEnckEjwgGJ37Xd3j8oJyUn9LJWpsy2r99+7di0ajYc6cOTXbunW7\ne9MxfPhw9u3b1+I530u/fv1YunRpzeP333+fTz75BIDZs2fz2muv8e9//xutVsuCBQtYuHAhp06d\nYs+ePezZs4c1a9awYcOGmteXlpby0UcfkZKSgu62FrSLi8sDhu2N8cUXXzBgwABGjRoFgKOjI8uW\nLeORRx5h7ty5/PrrrzVBliRJ7N+/nwMHDvD//t//w93dnTNnzjBlyhRiYmJYsmQJZWVlfPfdd4SH\nh5OSksJzzz1HTk4OPj4+rF27luDg2sa8//3f/0337t2ZNGkSf/3rX9m+fTsAN2/erJkTQKw119nc\nh6OjqHIBSEuDH34Q3rIgLIe6dYOYGLGoZO2MjRrLe4feo7N3Z9Qq21wBA9CrXMGnv/izVew9wGeA\n+AORXSxJEd6A5TdFsKprJ6wkbvchWSNOPk5UFlWiL9djp2tjl6+8E5CxG4KeEosFRqYsrwytm7jx\n379fKPpahMBxUJ4jsmYN9BVuPLMRjVqDWlKTX55PVXUVjhpHegf2ZmiHoUhI7EjawbpT65gROwNV\na3sUfQbB5VU1AZ6np7B90+vBzga+ahpHDfFz4jm+8jj9XrciQaKwMHjjDWEUvXSp8NPzUWxPFFqP\nXC2jtjfNvcX1rEICS7Ig0naVtm3gtNV6ggcEs/u/djP8neHo3HWUF5TXPG4pZ8+epaeZGi937tzJ\nhAkTADhx4gRr167l999/R5Zl+vTpw5AhQxg0aBDvvfceCxYs4Pjx41RUVFBVVcWBAwcYPHhwrfEu\nX75McHAwLi6tM089d+7cA59BeHg4xcXFFBYW8u677/Lhhx8yYMAAiouLa4LJU6dOceHCBTw9PQkL\nC2P27NkcPXqUJUuW8MEHH7B48WLmz5/PzJkzmTlzJp988gkLFizgu+++q3UsR0dH3n33XQYPHszr\nr79O5G2lgLlz5/L000+zbNkyRowYwbPPPktAQAC2Rvv2MH363cfl5XDqFKxdK246/PzEKrO1Wi2o\nJBVPdn6SLRe2MKVLGzP+s3UklcjgOd+jg1+WIQRc0raJnkGfQaKXz8qye1Hjokj8PpHoSdGWnopx\nyD8NGb+AZw/o/JbJPu+UfSl0GCr6Fy9cgOEWqoYEQOfd4NPfXPiGILcgBgYPbHC/cVHjuJJ/hfcO\nvcdz3Z/Dy9Gr5XNS2YHaQQgg3S6LHT5cxCWPPdbyYc2J1lVL16e7cmL1CeFhaS2/XUmCUaNg4EAh\n2+rsLEpWbCFyVrBKqiurH/DzNCbFN/T4BNq2NY+VLPGYFp27juHvDGf3f+2mIKWgVrBnzQwdOpTA\nwEB+/PFHpk2bBsDBgwd58skncXJywtnZmYkTJ3LgwAF69uzJiRMnKCwsRKvV0q9fP44fP86BAwcY\n1MhS7dq1a4mLiyMoKIjr168bbf4DBgzg9ddfZ+nSpRQUFGB3+2Teq1cv/P390Wq1hIeH12TbYmJi\nSElJAeDw4cNMvx3dPPPMMxw8eLDOYzz++OO4u7vzyiuv1Gx79NFHuXLlCi+88AIXL16ke/fuZGdn\nG+19WQqdTvTrvfgivPKKsFtYtUpIeltri0OEZwRFFUVklWRZeioKjeHgd7ePr8NMKLsBicvgyjqR\ncbES3ILdKEovwqA3WHoqrcNQBReXiMb+Tq+J8kUT3pAXpRfhEuBCQYEo+7aWe+Y/RL4AACAASURB\nVP/72ZG4AzetW6PB3R3CPMKY32c+X5z5ovUHD3gM0nfWPIyOFsGwGdrKjYZbsBuBvQO5sOWCaQ4g\ny6JPuaIFDYqOjvD889C7NyxZAidOGH9+Cg8FuUm5eEW2YkGnEUpOZeA10rZLih+KAA9EkDfgrQEs\n6bCEAW8NaHVw16VLF0604uR0/fr1GnGTlStX1rnP3r17uXbtGnFxcfzjH/9ocDyNRkOHDh349NNP\n6d+/P4MGDWLv3r1cvnyZzp0719o3IiKC1NRUioqKAHj22WdJSEjAzc2N6vsihW+//bZmnsePH6/1\nXHR09AOfwZUrV3B2dsbV1ZW//vWvfPzxx5SVlTFgwAAuXrwIgFZ7tz9ApVLVPFapVOj1+gbfZ12o\nVCpUqtpfZU9PT6ZPn87nn39Or1692L9/f7PHtXaCg2H+fGFDtHQpXLjQuoysqZgeM52NZzZaehoK\nzUGtBb8R0HE+tH9cKAxe+kD0KFnB3W7YyDCSdyVbehotR5aF+E3wZPAfZXLPt7K8MnQe4pr3yy8w\nYoRJD9difk35FUmSGB7WvPSizk6Hr5Mv6UXprZuAg78IuO/5jvfrB0eOtG5YcxPQMwC1vZobx24Y\nb9Dr34rvbPJHkPo1pH0L179r/HV10aEDvP66kHJduhSylAVAheaRfT4b784NVwI0C32JsHQBkGWK\nc9V4hdugAMI9PDQBXnlBOb/9+zdevfoqv/37N8oL6lHEayLDhg2joqKC1atX12w7ffo0Bw4caNLr\ng4KCSEhIICEhoVYf3/3Y2dmxePFi1q1bR15eHoMGDeK7776jtLSUkpISvv3225oM3aBBg2pKFgcN\nGsTKlSvp3r37A2Uajo6OPP/888ybN4/ycvE5VFdXU1n5oMLek08+WTPP+Pja8tV/+tOfOHjwIL/8\n8gsgRFcWLFjAf/zHfwCQnJxMTEwMf/nLX+jVq1dNgNcU+vfvXyNes2HDhkazkPeyZ88eSktLASgq\nKiI5OfmB/r22RFQULFwI+fn2bN5sFffftXDQOBDnF8eh64csPRWFlmDvAR1mQOQrUJ4FiR8IufuW\nrOAbCZ/OPuRczDGLYq9JuPo5tBsOjuYpHb+3PPPmTeu0KJNlmVOZp1rsn/l4x8f5PrEOhc7m4hEH\n+Qk1D/v2tb0ADyDq8ShSD6ZSWWIE5dyMPaB2FJYdES9C2J8h/Hlha3F1Q8suOpIkVhpmzxZqNps2\nIVlrKYqC1VGaXYqTjxHNx8szazzwSEqiRBOMl+kShGbhoQjw7u25cw91rynXbE2QJ0kS3377Lb/8\n8gvh4eF06dKF//zP/8TPT3xBBg0axOTJk9m9ezft27fnp59+avGx/P39mTZtGh9++CE9evRg1qxZ\n9O7dmz59+jB79my6d+9ec8ybN2/Sr18/2rVrh06nqzcweuedd/D396dr1650796dQYMGMXPmzGb1\nqjk4OLB161b+9a9/0bFjR2JiYujVqxfz5s0DYPHixXTt2pXY2Fg0Gg2PNaOR4YMPPmDt2rXExsby\n+eefs2TJkia/9sSJE8THxxMbG0u/fv2YPXs2vXrZbqNsU+nfP5eoKPjwQ6gjVrcoQ0KHcCTtCAbZ\nxsvqHmZUaiFj33EB+A2D9B+ESXz2ISHaYmaCBwaTejDV7MdtNek7wSkY3LuY7ZB3yjNTU0Xm3xo5\nlXmKOL+4Fr/eUeOIncqOworC1k3EewBk/1bzUJJElcT5860b1txIkkTczDhOfXaqdQPl/SFufgMe\nffA530FCrTf5o5afAxwd4bnnoG9fArdsgWPHWjdfBYWWUJYhhMaAkj0/IXl3ML/KsJGRbGQF9IFJ\nXrhw4YHSw/poiYpmUVFRq0VIFB7Emj/X5nynrJF9+/bxyCOPcPMmfP65uGZ6G7GCobWcyzpH6q1U\nHou0EcWC29z5XBXqQJYh9xjkHBZBS8CYZkn71/vZyjLoi8RFt+wmVOaKEprqMvGcJCHbuXF0fQV9\n5saBS8Td8hprJu8EFCVDiOlFh+58tmV5ZST9mETsn2JZuxYmTQJrPAUvO7qMl+NfbpXibnZJNj8l\n/8SM2Bmtm8yVz6D9E8I2BdHj/OGHwhTe1s4HV3Zfwd7JnvZ9W6COW3wFbv4MES813LRZeEl8t0On\n179PE9i3dy+PGAxw9qxQ2/T1bdV4CgJb+842hr5Cz+n1p+nxvBF75K5/Az4DQePFleXvsOTWJJb8\nvXEhLwt9tk3qoH4oJIzqCuJ07roWWyQoKFgz/v7iRmT1aujfX4ixWANdfLuw68ouRoaPxE71UJx6\n2j6SBN69xV9xClxdB7IekMAxSKh0OviDxq3OG0RJrhJBXGWeeH3pdWrW8zRuQvhF5w9u0WDnJDyK\nJBXIBqTKAhz9T1CSkYtT/kmoLr39Og+hSOkSYfLetmZRnCJUSiPqL8k3BXfKM2UZioutM7grrCjE\nUePYajsVHycfbpXforK6Ent1K+SFA8YIv74OIlBUq8V51YgaZGYjbHgYRxYfwberL/bOzfhM9KWQ\nugU6v9G4Io9rR7i5S2TxWvObkyQhXdq/v1Db1Olg8mTb8AVSMBt5SXnGF1ipyAGtNxw6TFZ0CK4n\nrPBE2UyUuywFhTaITicEWLZvhy++gKlThbGxpRkbOZYdiTt4otMTlp6KgrFxDoWIF8T/ywYoTYPi\nq5B/Cqpuie333ijKMu3KkiGnRHiiuXeFgNFNu0GUVKD1JHzCAJJ/SiZm+tC7z1XkiWxC5m6R7VPZ\nid4Kx/biT+tt/sCvMh9Sv4JOr5tdvrLwRiEuAS4kJAgfTYBb5bfYfG4ztypuEeoeypOdnrSoV+VP\nl39idMRoo4z1WORj7Ly8k/Edx7d8EJ0PVBYIM/bbi1HjxgmLmmgbdOfoNrMbCZ8l0Htu76a/KGUD\nhD3b9N+KV2/hq+nTr2WTvBcHB1GCkpoqRFgGDhQS0goKCIGV0KGhxh1UlsV3/eRJsoa3x+Wsq3HH\ntwBKgKeg0EaRJGGafumSuEYuWGD5IC/SK5IfL//Y+hV2BetGUomSTaeGG74ybuyjU9AjLT6Mo5cj\npTmlyLJ8V0xK6wn+I4GR4rFsEFnC0jTIPihWau/tF9J6gUN7kWm8nR0Eg/jvnT9kcAppWRlodQVc\nXg1R80UfoxkpyyvDwVN4OR06BH9+rpwNp7dQUlXC5OjJeDh4cDnvMouOLGJk2Ei6+XUz6/xAiKuk\nF6UT4GIcwZkwjzC2XdrG6czTVBuqqZarcde5E+EZ0byB/IYL4/nbvWcODsJeIifH9s5bDh4OeHfy\nJu33NNr3aUKpZmGi+F004ldYC694SPzQOAHeHYKDhdrmvn2waBFMmCAUOBUeakpzjSywcoeiInB0\nJLssF2d7Z+OPb2asYE1fQUHBlHTsCE88AStXWofC5hMdn2Drxa2WnoZCG8G7szc5Fxrw6ZNUQq3S\nuzcETRQqgJFzxF/ES0LN0s4RCi/CrXOin6goGUquCS/A8kyhHpq6+bZM/Bq41UTFDYNe3PSGPWuS\nHkFDtYFD7x6iqrSqzuev/HKFDkM7UFEhcyn3AmsSVjG0w1Be7PkiHg4egPCqfKPfG9wousH2S9uN\nPsfGOJd9jq6+XY065vSY6RRXFlNlqEJC4nj6cXZe3tn4C+/FrTMU1jbBe/JJOHDAihqbm0GHYR24\n/tt19OWNWBHJBkjbCu0nNO8AkgrsnIVRvDGRJBg6FObOhZMn4YMPIC3NuMdQsC1MdR+zezeMGEFF\npQGtveUqGoyFEuApKDwEdOggqlw2bLD0TCDEPYSskizKqsosPRWFNkDokFCuHbjWshdLksj4eXQT\n5aEBj4mMjf9IkcFpNxTaDRF/YbOETHzoDChKgpQvGl4xKU2Di+8LrzudacQiLmy5QMjgEI4tP4Zs\nqD2XosQi9BV6MnWZvLp6M/0HGHi176t1ZsokSWJM5BhuFN2goLzAJHOtj/3X9jM4ZLBRx/R18qV/\nUH96B/amZ0BPpnadikpS8d3FZvq2uccK78fbiCxeFak2KN4qSRKxM2I5vf40sgx5ecIyIyVFVHmc\nPg1Hj8LlX7dB4LiWlTH7jxK9eKbA3h4mToQXXoCDB2H5csjMNM2xFKwWfYUeO52Riw9lg7gW3JYZ\nLim0x9PTuIewBEqAp6DwkBAbKypevjeCVVRreSr6Kb46/5Wlp6HQBlDbq5ENMtVVZvLQUmuFwqJH\nHFxcJNQ970WW4cYPQn2w00JwCjLJNEqyS6gorCCwdyDRk6I5sfpEjS9gxqkMLp+9zL7IfZzOPE1n\neTJThjZuyzA9ZjpfnPnCJPOti5LKEuzV9mjUphfRGBU+Ck8HT748+2XTX9TuEcjaV2vTwIE5fNdC\nf29L4+TrRLnkwLt/yWbXLuFIcOmSCPRKSkAr5VFekMm2X1uoJu0YKLLepkSnE03ls2bBzz8LNbHc\nXNMeU8FqyE3MxTPSyNFXZT4UyxAYCEBxgc7mPfBA6cFrMbm5uQwfPhyAjIwM1Go1Pj4+pKSkEBAQ\nwPl7THPefvttnJ2defPNN5k1axbjxo1j0qRJNc87OztTXFxs9veg8PAxeDBs2wa//QYDBlhuHn7O\nwi8yozij5v8VFFrKHU+8O2beZsEtWvTtJX4oMnTV5YAkrBy8+0Ngywy7m8qZL87QY3YPNp/bTF5Z\nHnpnPQf/70EcohwoPF6IdpiWeX3mUVSoYqt707RdXLWuBLoEciH7Ap19TG8Zs/vqbkaEjTD5ce4w\nOGQwR9KO8EPSD00zVJdUoPUVVh0Owh1eo5EJCoLLlyGimW19lkSWYetWyK7uRB+PQwx8yguVnarm\nSTnnMJlXt/BdO38y/jhPyKnoGlGeZuHUQdgrOIcZdf4P4OgIzzwDhYWwZQsYDMIDxM3NtMdVsCg5\nF3LoMMzI5/myDDh1DZ6cBkDJLR3exq0atwgPVQavsriS4yuPU1ncehdoLy8vEhISSEhIYM6cOSxc\nuLDmscrSShYKCg1wR3glKcl8x0xKgs2b4bPPxILrJ5/A42FT2Hxus/kmodBm8e3qS9aZLPMf2N4D\nOr8JwU+Lfr7Il6DTa6Lfz4SkHUnDu6s3H537iI5eHZkTP4d5M+Yxrsc4umV3483/8yax7rGoJBW/\n/AIjmhFDPd7xcb5P/B6DGczrrxVcI9Q91OTHuZe+7fuSnJdMub68aS8IHCcsE+5h3DjrqIRoKtXV\nQqMkIgJeeFEiZmo0CZ8mIMsyFTnHOLv/eb469yVnvUYzu89r9H/0Bv93/WHSMxrp16uLO+I05sLV\nFZ59VpRv3rnIKAvmbZbS3FIcvY3cz1x2E4rU4OqK3qCnvNCpTWTwHqpI5Mf5P7Lj5R38OP9HS09F\nQcGizJolLBRyGtCmMAZZWbBsGZw7J24yn35atFBMmACrl+sI0nbl5M2Tpp2EQptHkiR0HjrK8i3Q\n1ympwM7BbPYH1ZXVXN5/mS3aLYzvOL6W8mXEoxH0ndP3rqIokJ4OAc0QqFRJKkZHjObHJNNeJ7NK\nsvBx8jHpMerjqein+ObCN03bWeMs/o0r8u5u0kBkJJxvotaOpfn8cyEQ0/V2VsKjgweakAy+nPcy\nPyesxzHmb0x5ZAkjbnuUjooYyf9+K5Dn/9dBruc1s8/NzhEMlUJgyJx4eIiLy5gxsH698AcqU/q8\n2xymEFhJOg5d+gOQV5YH5Z54eJjgOGamzQd4Br2Bc5vPceB/DpDwaQIACZ8mcOB/DnBu8zkMetOv\nUt7PW2+9RVxcXM2fgoK5UanglVdgzRoob+JCdnMoLIRPP4UffhB2RhMmgKenaJ+QJPH/8+ZB4k9D\n+fbYEbNkCxTaNh2GdSBlb4qlp2Fyjm86zpGII8yJn0OQW8P9fWlpNW0lzSKmXQwpBSkmFVz55cov\nZi3PvJcAlwCKK4sprGii4mPwZLj+da1Njz0GO3aIykBr5tgx8PG5x12g9AZJhxeQq/uZYW/9Nx4n\nJuPPg1+SSN9gVv29P6/879Poq5vZ3+oZD/kWWrjz8YE5c4Ty5tq1IqtX2fqqLQXLoy83gcAKQNJp\nGCjORdkl2TioXLG3PTeUB2jzAV7qb6l8/fTX7Pnbnlrb9/xtD18//TWpvxlXDkuqZxX33u3//ve/\na8o5ExISjHp8BYWmotPB888LMbLmXr/rIy9PBI1ffgljx4pMoWM91RROTrBwoUTlqYl8vHtP3Tsp\nKDQR10BXitKLLD0NkyIbZH4/+zsvPfYSbrrGe42aW555LzPjZrLmjzU1wi3GJrc0F29Hy1kOTI6e\n3PQScY2rsAAoTa/ZpFLBo4/Czma6L7QIQzXcughZ+yH1K+GreE9GsT7y8uDwYZHUAiD9R65e/JiT\nTvE8MmgxvqEB9Jnfh4RPE8hNfFCoJDjQnpenRPLmu6eaN1+P7pYL8O7g7y9WMfv2FR5B334LVXXb\niSjYBrlJphBYqQQkkZYHskuzcdbYvgcePAQBXlC/ILyi6i6m9YryIqifcRXOvLy8yM/Pr7UtLy8P\nb2/b9M5RaNt4e4u+9KVLQd+KiprERFixQgi4TJokKmV8mlB9ZW8P/+e/2rFzuyOF5Q9X38SxYyIY\n/uMPZYHZWGhdtZTfMkFK2kq4/Otl5Bi5xsOuIfR6iaIi0aLUEpztnRkRNoKtl4zvWXkl/wodPCxr\nWO3h4IFWrSWjOKPW9mpDPatdQRPh+pZam2JjITlZKFCaBNkA6T9C4lIoSwetj/BtDJ0ByR83GOQZ\nDOL8Mns2SMiQ8gWpxVn8IgcwOeaZmv00jhr6vtaX64evc3Xv1QfGGdM/FINbMt9ubUZwpLYHg5UE\nU8HBsGCB+MdavlyseijYJLeu3cI91N24gx48KOqtb5Ndko2zvYtxj2Eh2nyAp7ZXM/fi3Dqfm3tx\nLmojmxk6Ozvj7+/Pnj0iI5GXl8fOnTsZOHCgUY+joGAsgoNhyhRYsqR5gUZlJXzzjQgOr1wR2cBZ\ns5ovYqZSwcI/deG/Pz7QvBfaKAYDrFsn+hOnTxeLyuvWweLFcMPECuNtndBHQrn2aws98WyAPT/v\nYcLjTTOgPnLE627mpoV08+tGYUUhV/MfvPFvDftS9jE0dKhRx2wJk6InsfHMRnZf2c3yY8tZfmw5\ni44sYv+1/Q/urNaBUzAO+uu1Nk+bBhs3GnFS1ZVQdBnStsGlJeAYLOw2/IYJ83Wtp+hzi5ongrzK\nustov/5aiME46qohaQUZam++y7/F8z2ef6DSSFJJxM2Mw6A33PbJq521Xfh0PIdTj3HoUDPeh2MQ\nlFiRYWB4OLz6qrjg/PCDpWej0AKKbhbh4m/k4OvcOfC/q+SdX56Pg8bBuMewEG0+wAPIS6p7lSvv\ncuMlDi1h3bp1/POf/yQuLo5hw4bxj3/8g/DwcJMcS0HBGAQGimCjqUFeSooISHr2FIujo0fTqpr1\nQb3dKLjhS1KWFd0QmIC8PHj3XWFRMXasME7u00esss+bJ9S+bUW4wRpxC3bjVuotS0/DJOSl5FHo\nXkiIe0ij+1ZVQWamFmNcdv4U8ye+Ov8VldXGSTPLskxpVSlO9k5GGa81OGgceDTiUdq7tmdO/Bxe\n6fUKb/Z/E1mWWXZ0GcWV91UVBIzDq/xwrU3e3qLc/Fpr1hUq80XZZdJKSFkPJSng0U0Edu71+Bfe\nCfIur4LK2t/5lBSoqIDO4flw8T0IHMsXaWd5pdcrqBowMA8fGY5XRy+Sf0qutb2DRweCep/g5Kkq\n0tPrefH9+AyA7OZEhGZi2DDRk/Drr5aeiUIzkavlu9YexiA/H9ycQHX35kWWQd1GlPAfCh88By8H\nAvsE4t3Rm5HvjmTXm7vIuZSDo5dxpFbffvvtWo+jo6PZu3dvnft++umnD2xTPPAUrAF/f5g5U6he\ndu0qenfqOs/9+CNkZsIbb4DaiAnwt1+O5e8rdrH+H8HGG9SKyMgQ4m7z5tXdl2hnB/PnC8W7vDxQ\nkv4tw97ZnsriSuyd20CX/D38uOFHhk8f3qR9d+yAvn1zgchG920MtUrNjNgZLDq8CHedKI8qrSrl\n0YhHifaJbvZ4pzNPE9suttXzMhZ1vYchoUPo5teN1SdW81Tnp+4G1So1xZoIyD0GXr1q9p80SSx4\nvfFG3efMeqmugNSvoboUQqaKXr/mUBPkfQQuUeD/KAbUbN4Mr886Dld+g6i5XC68SaRnJHaqxm/5\nAnsF8vsHvxM8MLjWb2hi54n8LH3Dtm1PM2dOE+am9YJKKzUgf/xx2LQJTpwQq5QKDye7dsHgbqC5\nqxRbXqLBt4Vl7dbGQxHgOXo5MvvI7JrHEz5rWomLgsLDhq8vvP66qFr44AOhvObvL+wUcnNFkDJo\nkFCQMzahwRoCtJHsPHOU0TGm9REzN7IsVLvnzwettv79JAn+/GdhYfHTT0LEQaF5hAwO4dr+a0SO\naX1wYy1UlVZxo/gG00OnN75vFaSmQmys8XoRA1wC+MvAv9Q8rjZUs+L4ihYFeIeuH2J2j9mN72hh\n3HXuLOizgEWHF/Fm/zdryhoL7LuLzJRTKOhEo7FGI2zYVq6El19ugmOGbID0nVB8GYKeAscWSJ3e\nwc5JeC/eOg+JH7D/jwhmDs7DrtIDOi4ASeLn5J+b9ZnH/imWM1+coeeLd4OfQNdAyqRcJFUFBQVa\n3JvSCqV2BH2pCEStjalTRZOioyN07mzp2ShYgowMcAkD6W6JZlG+jug2IpnRNvKQCgoKRqVLF9Gu\n0LWryNJFRwsfpTfeECWFpuK/Xo7g43WF6M3toWRidu2CwYMbDu7u5fHHRZY0tW1XrJoE9w7u5F/J\nb3xHG+KXDb8QMz6mXpXme9mxQ5T/mhK1So2r1pX8sqZ/zjeLbvLh0Q+J8IxAo9aYcHbGw05lx6MR\nj7IjacfdjZIkDO2vfCL65W4THg5Dhghl/gbJPQ4X3wenYBGAtSa4uxe3aK7Yv0ahHEW7roOh/eMg\nSRSUF+Bg54C9uukZbQdPBxy8HB5Q1pwUPYnKyM1sbarujncfyDnSjDdhZp57DnbvbmV9rYI5qCqt\nQuNoxPPGlStiBbs8A3TtajYX5euaJBBnCygBnoKCQr2EhUGPHhASIvpMTO3l7OYmMTwmhmXf7zPt\ngczIrVuQlATx8c173bRpoorI2n22rA1JktA4aqgqtRIVv1YiyzJnLpzh0b6Np3PvZO/M0fI9JnIM\nPyQ1LlZRUF7A6hOr2X11N891f46R4SNNPzkjEtsuluu3rtcOZtU66DBT9M3dI0jSpYsQa9z4hQwV\nuZDzuyjBvLwaklbBpWWgL4JOb4B7V6POs7JSCKuMnRoFzqE1279P/J5xUeOaPV7nJztzcetFZMPd\n9+fr5Iu/r5aUrOym+ae6doLCi80+ttmQJJFy3bJFrKgpWC2FaYW4tjdi7eSePTB8OJRnCXVaoLK6\nkvJCZ9qK6L1NB3im8udRePhQvkvWw5xn2rF/rz05OW3j3+Tzz+GZZxrf737ulH199ZXx59TWCR4Y\nTOrBtpH+vPLHFdyi3RoUxygsFFni998XyonmwNvRm7yyPAxy/SsQeoOeVcdXMbXrVGbEzrBZdboZ\nsTNYf3p97Y0OfkJI5Po3QiQlaz9cXk282wri3VdxZOtuUGnA9xEIny2yfh3nQbuhRl8pKysTPYAz\nZ9bui9Yb9OSX5ePj1PyUhKSSiBgdQdIPSbW2P9X5KcrDtrD9+yasPN35zjbwHbE4arVojP7sMyio\nW5FUwfIYNcAzGKC8XJTnGqqErQfCm1Mu8VYCPEuj0+nIzc1VbswVWo0sy+Tm5qLT6Sw9FQXEvc8r\nc9T8c3G6zfvSHj0q2jta6kUWESH8Ca9cMe682jqekZ51GjfbInu/38voCaPrfO76dRHUbd0qsuxv\nvSWy7uaif1B/Dl2vXylx/en1TO06FVetbasWuGhd6OTdiWM3jtV+wrO7sC1I3wn2nhD2LES+TOSY\nORjaT+Gz7T2Qtd53Ax0TUFQkrGpmz4Z27Wo/t+fqHoZ1GNbisdvFtONW6i0qCitqtqlVav40aCA/\nnzzXtOoCa8/igZCAnjcPVq2C0lJLz0ahDowa4B0/XmdJTU5pDlpcaSu3gjYrstK+fXvS0tLIzs42\nyfjl5eXKDb8JsNbPVafT0b59e0tPQ+E2w6L6cajPp6xZ81zTFNuskPJy4aG6cGHrxpk6Fd57z/iq\npW0ZSZKw09mhL9djp7PZyxyyQSa/OJ8Q7wetEfLyhP/a668LBVZL0MO/Bx8c/YCBwQ9Kvp68eRJP\nB88m2TrYAiPCRvD+4ffpZuhW+4l2dfv59e8vFnaWL4c5c0zz283Lg48+ElWGdS0inc8+z6jwUa06\nRsz0GE5vOE2vl++qhnb17Ypvly/ZtjOUCWMa8SXz7gvXvgS35gvymBVHR3jpJSEj/dprrfP9UTA6\nRu3BO3ZM/GjuI7s0Gxd745ZOWxKbvfJpNBo6dOhgsvH37dtH9+7dTTb+w4ryuSo0BZWkIjTYjnYu\nhXz/vavZys6MyYYNMGNG66ux1GpRqrltmxC6UWgaQf2DuH7oOh2Gme46YWrOHz6Pd7cH64VKS2H1\nauFBaangDkQg7e/sT3pROgEuATXbiyqK2Juyl4V9W7m6YUVIksSk6Ems+XkNIxjRpNd07QouLqJ8\nct68possNQW9XgR38+fXbbtyLutci1RO70fnrsMlwIXs89n4RN8t9fzrU2OY+deTTBgzuOEB7Byh\nuqzV8zAL7u53vYJefVVZUWuLlJWJ4F2lqtU/CyKD56K1vD+nsbDZEk0FBYW2zZjIMWR7bkOvtz1P\n2osXwcND2E4Yg4gIUY7XFBN6BYF3Z2+yz5umwsNc7P9xP2MeH1Nrm14PH34IL75Y9429uXks8jF2\nJO6gXF9OUUUReWV5rDm5hue7P98k1U9bIsQ9hBJ9SbPUQ0NChPXJ4sUi42YsNm2Cp5+u/zvwy5Vf\nGN6hab6JjdHx8Y4kfp9YS3DFRetC3y5+fLhre+MDaNyg0kb629q1g6ee8CnDAwAAIABJREFUghUr\nHggAFNoAe/cKs3sQ/pN2dwO6gvICdDbaJ1wXSoCnoKBgldwRcRj/hIGsLPjtN0vPqGlUVwsfuwlG\nttucMAG++864Y7ZlJElCba+murLa0lNpEYZqA8WVxbRzq91YtXq1uLH39LTQxO7D2d6ZMI8wvjz7\nJdsTt7Pn6h7GRo7FTedm6amZhGG+w9h4dmOzXuPjI7Kta9cap5/2yhWRgAgNrfv5q/lXCXILQq0y\nTgZKUklEjYvi0vZLtba//HQUaac68tW5RpSgvPsIRVFbISREKCx+8omlZ6IAGPQGJLWRFouSk+/K\nDFfkit7ZO8cxyA2KWdkabeedKCgotDn6te/HkbQjTJ4s5N9/t4F7hM2bxQKwyshn1+BgYTivaAA0\nnfZ925N2JM3S02gRJ/edJLBXbY+0Q4dE2V9wsIUmVQ/Dw4YzM24m02OmMyl6EpFebcdk/n6c7Jzw\nc/YjMTexWa9zcBD9uLt3t26xqrpa2CE8/XT9++xI2tEia4SG8In2oSi9iPKCu/4ILi4QoI3C16kd\n31z4pv4XO4dDcbJR52NyOneGbt1EqlTBohTdLMLFv5Fez6aQlUUtk7uKXNB63X1Yao+LEQ5jLSgB\nnoKCgtUSHxDP8fTjgPCFS0wUypTWSlqa8CIzlZLhxInwTQP3UQq18e3qS+YZ2/S3OrT7EGPH3XUs\nr6yEI0dg0CALTkoBgCc6PsG2S9uareKtUsELL4gy2yVLhCl9c8uuN2+GSZPqbw/LKM7A08GzWcbm\nTSX2T7EkfJZQa1u3buB+azBeDl68e+hdVh1fxarjq1h5fCUrj68kryzvbiOyrZU8xseDv78oyVCw\nGEU3ioyjoLlrF4y8x4ezMq9WgFdcoGszFglgwyIrCgoKbR9JkvB29Ca3NBcvRy+eeUbc4BQUwKjW\nicOZhM2bhZiCqfDzg+JiIY3ellYaTYWkklCpVVRXVaPW2I5ggr5CT7mhHDeHu2WOmzfD5MlGt1BT\naAFqlZrBIYPZeHYjU7pMwU7VvFupIUPEX1ISfPyx+De1txe/b39/cHYWj+8IOeblQW6u8OI2GBpe\nQNp6cSszYme04t3Vj9ZVS2DvQJJ3JRM+UpS59esn3sPLLw9hcMjgWn2XhRWFfHn2S5zsnZjsGYKm\n6DK42lh2d8gQ+OEH0bs1tG7FVAXTUphWSOgjoa0bRJbFj8jrbkBHRS543BX9Ky7Q4WNl1RGtQcng\nKSgoWDWDQwZzIPVAzeMpU8RK+JdfWteC8OHDYsHX1OrakyaJEi2FphHYO5D0Y+mWnkazOPLzEcIH\nhtc8vnlTZH2Cgiw4KYVa9A7sTQ//Hiw/tpwt57dQoa9o/EX3ERkJr7wiFNv//GeIjRX/zmlpcOkS\nnDghLLtu3RLaH8OGwfTp9Y+XX5aPRq3Byd50SoBB/YLIu5xHaY6oFddoRIBaWckDojquWlde6PkC\ng4IHsfTy75Rl2pha1h3GjIHsbOsuH2nDlOaW4uDVSvGTS5egU6fa26pugb07AJXVlZTdcm5TGTwl\nwFNQULBq2ru250bhjVrbRowQypIffUTTzHZNTFWV6I8yR/ncnQtQRobpj9UW8IvzIyPBdj4sWZY5\n+OtBRo+8a26+aZPwQ1SwLjp5d2JBnwXEB8Sz5uQaNpzeQEllSYvG0mhEAN+7twjkHn0UHn8cxo+H\nAQPEvam3d8MZ3G8vfsuTnUzvpRI3K46EzxJqSlQHDmy4rzDILYjZfd7g0JWdzS5rtRqmTIFz5+D8\neUvP5OFDfnDxoNn8+qvIxj4wsAiDckpzoNRbCfAUFBQUzIm92v6BFfKePUWgt2iR5YVHvvlG9MeZ\nq3xu2jRhcq3QOJJKAkmoUtoCOy7sIMo3Cket0L8/cgTi4kCns/DEFOolxD2EV3q9wvCw4Ww4s4G1\nJ9c2y0rBGBRWFKI36PFw8DD5sTQOGsJGhJG4XQjNdOkCZ882/Bo3nRsRPl34/kIjipvWzKxZsG8f\nXL1q6ZkoNIf8fFH204ARZXZJNvayGw5txyVBCfAUFBSsn96BvTmWfuyB7WFh8Nxzwpf25k0LTAzR\nH3PrFnQwo5+2Tgfdu4uyUIXGCegZwM0TFvqCNIP0onSuHblGv5H9AFH29ttv8Mgjlp2XQtPwc/bj\nxZ4vMqHTBDac2cDRG+Yr6dtyfgtPdX7KbMfz6+ZHeUE5eZfzkCRwdYXCwoZfE9JhIppbZ0jOszFF\nzTtIEsyZA99+a7kLzkOGUTK+n38uVkUbIKc0Bxf7ttXYrgR4CgoKVk9MuxhOZ56u8zkPD3jtNdGX\nlpBQ5y4mZdOmRq8dJmHIEFEWqpifN45/T3/Sj1t3H55BNrD+9Hp6lPbAr5sfIL7TirCK7eHh4MG8\n3vNIL0rnmwvfmLwssaC8gGq5Gi9Hr8Z3NiKxM2K5tO0SZXlljBwJ33/fyAvcujLKO4AtF7ZQri9v\nZGcrRaUSSlrffCPKKPLNm6l92CjPL8fBsxVptUOHhNSrs3ODu2WXZuOsbXgfW0MJ8BQUFKwelaRC\nluV6b5Ts7cU1NzUVVqwQSpPm4ORJYTZsCUVLSRJeWJs3m//YtoZKrUJSSVRXWa/p+aazm5gQNQE7\ntR2SSiIzE8rLrc/zTqHpTOg0gRC3EFYcX0FVdZXJjmPu7N0dJJVE/Mvx/PHxH/h66TEYGjFyV6lR\nyTLPxj3LulPrjD6f/HwzCW/Z28PcucIMfft2+OADYdJqDQ3hbYzCtMKWWySUlgphnAd67+o4TkUh\nOnXbqoNXAjwFBQWboJN3Jy7mXKz3eUkSggRPPw1r1wpDYVNe7MvLxTEee8x0x2iM9u2F8XG6dSen\nrIKg/kGkHbZO0/MbhTcwyAacU53x7+4PWC4zrGBcegb0ZEKnCSw6soiiiiKjj59XlockSWbpvasL\njYOGuFlxHF9xnKlTZb7+WiiB1ouDPz5SFb5OvpzPNo5gSWEhrF4Na9YINwOz4esr5E/nzhUXoOXL\nYd06YaitYBRaFeCtXw/PPFP3c/pSUN0N6AwGufVCLlaGEuApKCjYBP2C+nEk7Uij+3l6wvz5oidk\n1SpYuVJc/HftEv5xxuLzz8W1w9LXhKlTYcsWy87BFvCNsV7T8+2J25nYeSLpx9Px7+nP0aPQtStt\nquH/YSbAJYA58XNYcXwFmcXG/Q5+ff5rJkVPMuqYzcXJ14mI0RGcXX+KqVPhiy8a2Nm7L+QeYXzH\n8exI3IFBbjjrVVgorCJ+/lkseqxeDRs2CGu6Q4dEleTGjaKU+c03RZl+tbkT9SqVkD+dN0+sMu7d\nC0uXCkGWBqNdhcYoSi/C2b8FpZNnzghjSa96ypYrcmuZnFeUatqct6xidK6goGATOGocKa1qulxm\nr17iD8QFPzlZtE0UFUFgoJAid3NreIz6OHNG+FK1a9ey1xsTrVZcx1JTlXK+hpAkCTutHVWlVWgc\nNZaeTg35Zflo1Voc1A7I1TKypObAAXj9dUvPTMGYuGpdea3vayw/tpwxkWOI8opq9ZjZJdlo1Vpc\ntS3McBgR707eVBRWUHDkHM7OXTh/HqKj69jRwR/KMlBJKiZ0msA3F76pN0Dds0e4EvTvLzwDvbxE\nK1VJiSjHLCiAwYPF+fwO48aJXsAnnjDN+2wUd3dRRiLLQlp09WpR0jlqlHKCbgEGvQG1Rt28F1VV\nwc6dIuKvj8o8sPeseViUr6OzTwsnaaUoGTwFBQWbwcfJh6yS5pe/qNUQFQUzZ4pF1l694KuvRDVN\ncy0WKivhp5+ER5W1MH48bN1q6VlYPyFDQri2/5qlp1GLrZe28kSnJ8g+n41PFx927BA3p5bODCsY\nH3u1PQv6LGBX8i5Sb6W2eryvzn/FU9Hm772rj8DegTj7OdOJi/zwQwP6I5IEsoFIr0gKygvILK59\nTi8ogCVL/n979x0d1ZUt+P97qkoq5QhKSAgBkgARRA62MdFgoMERB2y3I47t9HrWzFtv1pv+zby3\nXs+02x3cdrt5Ts+h28YRbGNjg8HY5JwECBElJCEJgXKsur8/ThEEEgpU6VaV9mctLUq36t6z6wBX\n2nXO2Ud/ePXMMzBqlK5SHBGhB8vCw3WuNHx4y+QO9H3+5Ek9hd5USsGwYXon+3vugR079KjeN99A\nQ0P754uuO79x6NVuopeN4NVUBPvVHnggCZ4Qwofc0PcGfjrx0zVfJzkZHn1Ubyb89tt6ZK+pgzUQ\n3n4b7r3Xu34Bt9v1aOLJa/+d0a/FDIyhPK/c7DAuqG+up66pjpjgGPI35pMwJpnjx2HgQLMjE55i\nURYeH/M4/9j7DxodXS+Bm1OaQ3JEMmGB3lX5L3VyKvbwAGYNOMzbb7exL3h4BkZlHjk5UL3+AZ7+\nzX7+9jdYvjyRJUt04aiHH9YbvHfF7bfre7rXCA2FW26BZ5+FAQPgnXf0+oHDh82OzP8cOwY2G6Sk\nXP11l4zg1TfX01AZLgmeEEKYJTE8kcIq91UUiY/X6+Ozs/VavaVLr/7J76ef6tcmJbktBLdZsACW\nLzc7Cu+mlMIeYae+wuyP97Wvcr9iXsY8DMPA0eDgu9U25swxOyrhaTaLjftH3M9/7fqvLp3vNJx8\nnfs18zLmuTky9xgwcwBBdri53wF27TL48kt93OnUCd8/vhvDdx9u5dQpeOrxQB57opEbbsth/vwi\nFi+GxYuvrTJxUpKupNzevnymyMiAxx/Xm6YfOQIvvSRFWdrQ6en0TqfeW2bhwvZf23gWAnVhorLa\nMqjrJQmeEEKYKSooirN17t17qH9/XZhl4kR46y1dJKCuruVrVq/W6z/Gj3dr025jt0Pv3pCfb3Yk\n3i1tWhrHfjhmdhg4nA4KqwqJU3EcWnaIqAGxHDum1xoJ/5cUnkRadBrrT67v9Llf5X7F3Iy5WJT3\n/gqXPiedyNRIBpRtoVdUMy+/rAetTp+GX9wWyaypFcycqZenTUubxtrja93a/p136pl6Xstuh9mz\n9aje++/L9ItWVBZUEpHSifWlX3yh105YO7Bmz3CCRb+utKaUQGckISFdDNRLee/dQQghWjG9/3RW\nH1vtkWunpOglE1On6qmYS5dCU5Nixw4oK9NTOr3ZggWyFq89EckRVJ1yf7n6zmiub+bDlz8kdW0q\nB5cdpNfgXhxs6m/qlhui+83oP4Pdp3dTWlPa4XMqGyopqCxgSO/WKph4l6TRSQy9eyiODZt49K5K\nnnxS31vDwgCLDZx6XnyANYAgWxA1zTVuazs6Wq/P27bNbZf0jMBAeO45nZzIlM0WKvIriEzpYCW0\n06f1os9Bgzr2+kvWWJTWlnrdVGd3kARPCOFTksKTKKoq8mgbiYk60ZswAZYvT2L37o7N+jBbUJCu\nNCf74l1dWGIYFScrTGm74mQFm/60ieIhxSz47wsYcf8Iogf24uhRRca1F1YUPubhkQ/z5s43O1wh\n+O97/86iYYs8HJX7hMaFMvHFieR9k8eh5Ycwzm9OGjkMzu298Lo56XPYXL7ZrW3PmaO3Uij3nmW3\nrbNadTWZH36APXvMjsZrVBZUEt6nA3N1DUPvnbGoa/8vymrLCAv0sz0SkARPCOGD3L0Wry19+8Lt\nt5/ioYe8q6jK1cyfr8uEi7ZlzM0g96vcbm/3+I/HyVuZR8wvYxiWOezC8W+/1bO1RM8TZAviiTFP\n8MrmV6hrqmvzdU7DyUf7PmJA9AAig7q4v4tJrAFWRj06iqi0KDa8tIHKgkqIzoazuy68JiEsgbON\nZy8mgG6glC6m9dZbenmWV7NY9OLDXbtgs3sTXV/VXN9MQHAH1uCtWgU33KA/4eyCqoYq7FZ7l871\nZpLgCSF8zvS06aw+6plpmr4uNFT/WeO+2U5+xxZkIzA8kJrS7uuknE9ycDY7Gf3YaH4q+Ikp/aYA\n+hfPw4c7PrNI+J+ooCgeG/0Yr2x5hYbmK0vo51fk89KGlxiVOIqZA2aaEKF7xA+LZ8JzEzj2wzF2\n/NcBqgpb/v/LDM9kW6F751SGhOi98T7+2K2X9Qyl4IEH9Hq8NWvMjsY3VFRAbu7FTW876pIPEgxD\nF+DyN92e4CmlUpRSa5RSOUqp/Uqp57o7BiGEb4sOjuZc/Tmzw/Ba5zf7FW0btGAQB7842C1tlewr\nQVkU/af3p8nRhNNwEmgNBPSHzzNmdEsYwovFBMfwYPaD/Gnzn9hdvJv1J9fz3ZHveHvn26w+tpoX\nJrxAeqzvV+CxBloZ8cAIsu7MIn+Phc1/+InDKw5Te6aWIRFD2FSwye1tDhqkB8gOds9/92t35516\ng9YVK8yOxPu99x7cf3/nzmmuA+vF0b7G+gC9LtTPmDGC1wz8k2EYQ4AJwNNKKe9fLSyE8CoDYgaQ\nV55ndhheKSlJrzn3+mlJJrJH2FFK0VDp2U2Hm2qbyFuZx6Bb9RDd+vz1XNdXb/DldMK+fTB0qEdD\nED4iLjSOR0Y+Ql1zHZFBkaTHpHPLoFt4MPtBAqydKBfvA+wRdobcewPjF0FsRizHVh+jeHkx1i+t\nbHh7A021HdyYtINuv11/6OXGGaCeNXeunnL4ySdmR2KK5vpmrIHtVMPcskVn7xGdqLQJLfbAA6g+\nF0Tv3l0I0st1e4JnGEaRYRg7XI+rgANAn+6OQwjh26b0m8KPx380OwyvdeONsHat2VF4t0G3eH4U\nb9c7u8h+MPvCFKA9p/cwLE6vv/v5Z5g82aPNCx8TGxLLhOQJDI0bSlp0GtHB0WaH5DmRWVCRQ8zA\nGLIWZpG0IIl7/uUeDqYeZNc7u9i/dD+ORodbmrJYfPCeOG0aJCfDu+/6UGbqHpWnKolIvkriVl+v\nb6DTp3f+4g1nwB4LQKOjkfoK/9vkHExeg6eU6geMBGRFqRCiU0ICQqhtqnXronx/Mnw47N5tdhTe\nLaRXCI3VjTTVuXe04LwT604QNzSOkFi9wdLZurNEB0WjlMIwdAn30aM90rQQ3s9iBaNlAhcdHE1E\nQgQN8xpInpDMtte3kb/BPZt7jh0LO3dCk2f+u3vGhAmQnQ3/+Z89akpGZX7l1bdIeP99uO++rlU/\nu2QEr7i6GFt9gozguZNSKgz4FHjeMIzKVp5frJTappTatmTJku4PUAjh9UYkjGBvyd72X9gDKQVZ\nWZCTY3Yk3i1zfia5X7q/omZNSQ0l+0pInZx64dj3R7/npgE3AbB1q/6F0w/X9gvRccFJUNNyk+87\nhtzB6erT7HTuZPyz46k9U8uBzw+4pblbb9VbzvmU4cNhyhT4y1/A4Z4RTW9XkV/R9gjegQN6P6C4\nuK5dvLEc7BcTPFUbJyN47qKUCkAndx8YhvFZa68xDGOJYRhjDMMYs3jx4u4NUAjhEyYmT2T9yfVm\nh+G1pk2D1VJs9KoikiNoqmui7GCZ267ZVNvEzrd3MvKRkS2OF1cXEx8WD+jZRddf77YmhfBNiTdB\n0XdXHL59yO1U1Few6ugqMn+RSXhSONv/czuGs4szNupLoXAlaU2v0bfq36k6fbL9c7xJRgbccgv8\n8Y/Q2Gh2NB7XVNNEYFjglU80N+vFlAsWdP3iDRdH8Iqqigh0RhES0vXLeSszqmgq4E3ggGEYL3d3\n+0II/xFgDcDAoNnZbHYoXslm0x90nj5tdiTebcT9I8j7No+akmvfNsHpcLLl1S2MXjwam9124fjh\nM4dJj9FVEPfuhWHDZPROCGwh4GwE55XzJhcMWkBNYw1bT20leXwyadPS2PTHTTibrzJV0dkEp1ZA\n7quQt+Ti1+k1EJEO6U+SPv+/kfPNUt9b19a3r56W+Mc/6iqbPdHSpbrKqOUa0hfDARZ9by6pKSHc\nDzc5B3NG8K4D7gemKaV2ub7mmBCHEMIPjO8zni2ntpgdhtf6xS9ky4T2KIti7FNj2fn2zlar99WU\n1JDzSQ5bXt3C+t+tpzSntNXrGIbB9r9tZ+hdQwmODm7x3A/HfmBq2lQA1q3To6tCCCDuBij5qdWn\n5mfOZ2PBRgBiBuhiLNte39Zy7bXhhNpCOPYeHP4bhA+EjKdh4OKLX6kLIaw/KEVMr0DOBEzjzP4r\nRw69Xny83r39z3+GyitWN/m3kyf1FNV+/dx2SafhxHItyaIXs7X/EvcyDONnQD63FEK4xcjEkby2\n9TUmpUwyOxSvFB6uZ7XU1uKX01DcxRpoZfTi0Wx9bStZC7Mo2V/CuePnwNDFWFInpxKWEIbhNDi4\n7CD5G/IZft9wbEE2DMOguriavG/ySJ6YTGTflsUBKhsqsVlsBNmCqK0Fux2s7VQAF6LHiBwKp18B\nhl/xlFKKuNA4SmpKiAuNIyI5gtTJqex7axXDrj8IlgBQFgiKh8SbIahji6mm3zGKje+8wpTMSRDg\nYyM4MTHw9NPw2ms62YuNNTsit3I0OrAEXJZ0OZ3w0Ufw/PPmBOWDuj3BE0IId7IoC4HWQOqb6wmy\nBbV/Qg80d67eM/eOO8yOxLsFRweTdVcWxTuLiR8ez8BZA1GWlp9HKoti8K2DqT5dzbbXt2G1W1FK\nEZYQRtq0NKL6RV1x3S8OfsGCQXrNyKpVXavsLYTfUgqCEgh0tL4OdvbA2Sw7uIxfZv8SgPj4g9QE\n5nHk+GwGzOra5u92OzT2uY9TP79Hn6lPdTl004SHw3PPwSuvwKJFevNTP1FVVEVEn8sKrHz1Fdx8\nMwS4dz9IpxOs/jmAZ+42CUII4Q43pt7IuhPrzA7DayUnw6lTParKdpdFpkSSOT+TqH5RVyR3lwqL\nD2PC8xMY++RYxjwxhkG3DGo1uatvrqe6sZpeIXpk4fhxSEvzVPRC+Kik2cQ0bG31qaigKCobKnE6\nHXDsA3A20P/+J6k720DxruIuNzljTjRb9iVjnPXRSsxBQXpE68MP4ehRs6Nxm8r8SiJSLknwSkuh\nuBiGDnVrO07DSW1lsL8NgF4gCZ4QwudlxGZwqOyQ2WF4tRtu0JUbRff6Kvcr5mXMAyA/XyfbQojL\nBERgNerB2fo2ANcljuDE5hcgOltX3gSy7srixLoT1JR2rTiSxQKpk+aR99M3eh2fLwoI0EneqlV6\nmoavFY5pRUV+Rcs98M7veecOjgaw6OqcpTWlWGuTiI93z6W9jSR4Qgifp5Qiwh5BZUMPW3TeCSNH\nwo4dZkfRszicDk5VnqJvZF8Avv8eZs40OSghvFRFQBaUbbjyibO7GVmzlZVGEkRlXTislGL04tHs\nfGvn1StrXsWo0RbWH59P0/FlXQ3bfBYLLF6sp2m+9JKeJuDDGiobsEfY9Tdr1sD48e5bQN5wBux6\nyK6oughLTRIJCe65tLeRBE8I4RempU1j9VHZ9K0tSkFmJhzys4HORkcjW09t5Y0db7Bk+xI+O/AZ\nmwo2cbLiJI2OK/eLchpOyuvKKasto7Khkvrmepwe+vR+1dFVzOg/Q7frhJoavXRGCHGl6oB0qNgP\nua/BiaVQcRCOvgs1x1GDXiQ8LIWy2pbr9GxBNobdO4ydb+3scrtTFwxiz+YiaPLxDwizs+GFF2DD\nBnj7bWhoMDuia7NlC+TmwiQ3FlBrbLkHnlEV57cjeFJkRQjhF1IiU/ji4Bdmh+HVZsyAJUt0oufL\nztadZfWx1RRXF2O32hmRMIIHRjyAzWKjrLaMwqpC9pXsY9XRVTQ5Wm57oJQiOigai7LQ6Gik0dF4\nIcmz2+wMjRtKRmwGkfZI1DVsVGcYBvtL9zNr4CwAtm2DsWOv6W0L4d+UgvQn9OP6Mji3B+ImQ1g/\nAG5Ov5mvc7/m/hH3tzgtMiWSXoN6cXTVUfrP6N/pZlNTYeVX9zIi7+/YBj9xre/CXDYb3HsvFBbC\nq6/CxIlmR9R5tbV6G4ghQ/TIpDs1loNdr4curi7G2hRJWJh7m/AWkuAJIfxGckQyx84eIy1aqli0\nJiAAwsKgvFxX2vYlVQ1VrDm+hhPnThAdHM20tGkkhV9ZOS4uNI640DiyE7I73UZ9cz37SvaxMm8l\nFQ0VgE7UlFKkRqaSHptOamQqVkv7exwsO7SMKf2mXPh+yxZ4ygeL9QlhiqBekNBys8iY4BjO1p/V\ne5eplhPQUiensvOtnZw9epbo/tGdbm7WvCi2bo5jYp9ciMi4ptC9QlKSHs378UeSP/kEsrKgd2+z\no7o6w8D51Qos2w7CXx+DiIj2z+mshjMQrj/hbHQ0EmAL4Bo+x/NqkuAJIfzGnPQ5vLnzTZ4aK79J\nt+X8xucPPGB2JFfX5GjibP1ZdhbtJPdMLuH2cKb2m8r8zPkeazPIFsSYpDGMSRrT4rjD6eBkxUkO\nlx9m6f6lPDLyEXqHtv3L0s8nf8aiLIxKHAXA2bM6sfbT/XSF6Dbj+oxjW+E2xvUZd8Vz2Q9ms+Gl\nDYx9aiyBYYGdum5qKixftoBxJ1/GmvVr/OK3fqVgyhQK6+sZuGwZREfDrbd6540oPx8+/JDq4dcT\ndu8vPJPcATSehcCLHwD4QU2aNkmCJ4TwG3abnfDAcEprSq/6C3hPFhMDlZV683PbNfwEqKivwMAg\n0BqI3Wrv0KhWk6OJ0tpSSmtKKa8rZ13pOvJ25OFopXJegDWAqKAohsUN46YBN13TdMlrZbVYSYtO\nIy06jRtTb+TVra+yIHMBA2IGXPHanNIc8srzeDD7wQvHPvkEFi7sxoCF8FPj+ozjL1v+0mqCpyyK\nMU+MYdvr25j44sSrbnPSmlmzrfyUczNTbH+ClNshNMVdYZvKGRSkN0TPzdVFWObN09MfvUFTEyxd\nqhcpP/ccFdtPExnaueS8U5xNYPXg9b2IJHhCCL+yYNACPt7/MY+MesTsULzWtGnwww9w000de71h\nGBwoO8Cmgk00NOuF+1FBUVgtVuqb62l0NLaapIFe82a4Pia1WWzEhcbRO7Q3fSL6kB2Vzdzsudgs\nvvOjyG6z8/yE53ljxxuU15Uzts/FhXWnKk+x6ugqfjXuVxeOlZXpqbGRka1dTQjRGRZlISooirN1\nZ4kOvnIqpj3CTuaCTPa8v4cRD4zo1LUzMmDFiqFMnpuOpfALOHVHVIqKAAAgAElEQVRGJ3pKQW0B\n1J6C4ESIHdP+xbxRRgb8+tewfDmsW6e3HjBzAdqePbBypf70KzUV0HvgdWUdZcfpn0WGYdDcZCHY\nj3M93/mpKoQQHRBhj8BhOKhprCE0MNTscLzSkCG6ZH97CV5tUy3f5n1LQWUBg3sN5p6h9xAcEOy2\nOAoDCn0quTvPoiwsHr2Y5YeW87dtf7swuug0nDw55skWo42ffqprHggh3OPmgTfzTd433Dus9f9Y\nsemxVJyo4PiPx+l3Y79OXXv6dFi1xs5NN90FzTVQsBysdghOhpjRcGYTNFdB/FQ3vBMTWCxwyy16\nIfZbb8Hgwbr6VnfOkKiuhvfe05uC/rrldNi68jqCooM82Lhu61z9OaiJ99sKmiAJnhDCD83PnM+y\nQ8va/AVA6J/rOTlXztRpcjSxqWATu0/vJsgWxE0DbuK2wbeZE6SXa289YHGx3r5JtkYQwn16h/am\nrLbsQgGk1vSf0Z8db+4gsm8k0WnROA0nmws2c7DsIPXN9TQ4GsjqncXMAS03phw2TH/4NWMGWGyh\n0O+elhcOuQ0KlkHxD1cUgfEpMTHw7LO6vO/LL8Ndd+mEy5MMQ+9rt2+fHj1so9JXd0zHL6ouIqAu\nmfhEjzdlGknwhBB+JyEsgfK6cpocTQRYA8wOxytNuKGW3/yuiOwF66lrqgP0CJRSionJE3lq7FNX\nVKoTnfPZZ/Dgg2ZHIYT/GZU4ip3FOy8UMmrNyIdGsuH3Gxj75Fg+PfYpfSL6cPfQuy/MQvjswGes\nP7me6/pe1+K8CRNg+/arbGuSvECP7BWvgoQZ7npL5hgzBoYP1+vgDEMneoEemLd4+jR88IHetuHZ\nZ1t9iaPJgcXmwZ85ziZQeq14cXUxRlUmCSM915zZJMETQvilWQNmsfLISuZlzDM7FK/Q7Gxmf8l+\ndhTtoK65jiBbENFR05kafwfJ8cGmFjHxR6dO6aJ1ISFmRyKE/5mUMolXt7x61QRPWRSjF4/m699/\njfU2K5NTJ7d4/rbBt/H+nvcJCQhhZOLF3/THj4e//a2dfSuT58Pxf0DlYYhIv9a3Y67AQD2iVlAA\nr78OdruuwNW7N8THX/wK7sL0fKdTz1OvrNT7xAS1Pf3y7JGzRA/o/BYXHVZfCkFxgN7k3FE1kbg4\nzzVnNknwhBB+KT02nRWHV9DoaCSwh1TNupRhGBw7d4wtp7ZQXleOVVnJisvirqF3ERKgs46z/eDL\nL71/ywRf9Nln8NhjZkchhH+yKAvh9nAq6iuIDGq7gpEj2EFeZh4zd8yEYVc+v2jYIt7Y8QYhASFk\n9tL7o1mteqlaU5MukNSmvnfA4dd9P8E7Lzn54uhaUxOUluqRt4MH4ccfob6+5esDAnTiFxd3MQm0\n2y8+n5sLX3yh1/xltL+3YGlOKSnXebByaX0xBOlFd9WN1ViMYI8MVnoLSfCEEH7rlkG38MXBL1iY\n5Xs16huaG7BZbB3afuC8kpoSNhdsJr8yH4D+0f2Z2X8msSGxrb4+Ohqqqjrwi4zolNxcSEm56ofV\nQohrNHvgbD7J+YSHRz7c5gyEN3e+yaMLHqX8p3JOrDtB6uTUFs8rpXhk1CO8vPFl0mPTL0xLnzgR\nNm6EyZNbu6qLJQDssVBXDMEJ7npb3iEgQG+WnpTU9msaG6GkRH/t26dLMzfoKss4HDrx+/WvO7zv\nXk1JDaFxHiyMVn8aIgZf+NbfJ61IgieE8FupUamsOLyCqoYqwu3eVemitqmWwqpCKuorqGyopKqx\nirLaMhodjQDYrXYchgOn4QT0+jjDMOgV0ov+0f2xKAuna05TXF1MXVMdBgZxoXGM6zOOeRnzOjzl\ncvp0WL0aZs/22Fvtcb76Cp57zuwohPBvCWEJDI0byh82/YFbB91KWnTaheccTgfLDi1jQvIEooOj\nib4pmh1v6KIrUf2iWlzHoizMGjCLH479wIz+ek3dsGHw17+2k+CBXo93/AMYuNjdb8/7BQbqUT83\nFmfx6FKB+tMQN8Vz1/cykuAJIfzawqyFfJzzMQ+PfNjUOBqaG/hg7wc0OZoACA4IJik8iaigKPpE\n9CE8MJzYkNirTic1DIPyunKOnD1Cs7OZwb0GM6XfFIJsXR8qGjRIb0UkCZ57bNqk6xZYOz7wKoTo\novHJ4xmdNJrPDnzGqqOriAqKorS2FKuyMipxVIt9KrMfymbj7zcy9umxBF62mfaw+GGs2riK6WnT\nUUphsej8pa6unaVntlBduKOpEgIiPPQu/Z+j0YE10MM3TUc92PRfpmFwfks8vyUJnhDCr8WGxGKz\n2CipKSEu1JwV1acqT/H+nvd5aORD1xSDUorYkNg2p1x2VVaWnmEzdKhbL9vjOJ2wfj28+KLZkQjR\nc9gsNhZmLeRs3VkaHY3Eh7W+uZnFamH046PZ9vo2Jr4wEWVpOVp0Xd/r2FiwkUkpkwA9evfTT+3v\nF0qf+bqqZtp97ng7PdKZ3DPEpLe+bYK71TbVoprCCfOuST1uJzWwhRB+744hd/Dx/o9NaXtD/ga+\nzP2SFye+aFqC2Z4pU2DtWrOj8H3ffqtHQv19bYcQ3ig6OLrN5O68oMggMn+RyZ4P9lzx3NiksWwu\n2Hzh+4wMOHSoAw0H9dYjeK7p9aLzSnNK6T24d7e0VVRVhL2uLwl+tmzycpLgCSH8XkhACH0i+pBT\nmtNtbVY3VrNk+xLO1Z/jiTFPePV+fDYbREVBWZnZkfiuxkY4fFiPhgohvFdsRizhieEc+f5Ii+NK\nKUYmjmRn0U7X9xAeriv8tytpDhR+7YFoe4baM7WE9OqePWUKKguw1SYTf/XPAnyeJHhCiB5hQeYC\nvs37lsqGjvy07jqn4eTr3K95Z9c73DHkDuakz/Foe+4ybx58Lb+fdIlhwBtvwJ13mh2JEKIj+s/o\nT/25ek5tOdXi+OTUyfx44scL30+bBmvWdOCCYf2g5iQ4He4NtIfw+D6sjnqw6rXq+ZX5UBMvI3hC\nCOEPlFI8NuoxlmxfcqEypbsVVBbw0oaXSIlM4ZlxzxAT3D1rCtwhKkpvmeCQ30867ZNPYMKEq1cU\nF0J4l6w7szi99zRlhy5OXbAoCxmxGRwsOwhA375w/HgHL5g4C4pWuj9QP9dU14QtyMMlQepLwK6X\nSNQ01lBbGUyM7/x47hJJ8IQQPUa4PZwFmQv4YM8Hbr/22uNrWXF4BS9MeIHh8cPdfv3ucL6ogOi4\nn3+G0FAYNcrsSIQQnTXyoZEcWXmEqsKqC8dmDZjFd0e+u/D94MGwe3cHLhY5CKpywUMfIPqrM7ln\niM10b+GwK1y2V6FhdHh7Pp/l529PCCFaSo9NJzYklo35G91yvSZHE0u2L8EwDBaPXuzVa+3aM2wY\n7Lmy9oBoQ16e3tR8jm/MwhVCXEZZFGOeHMOeD/ZQU1IDgNViJTkimWNnjwEwYwasWuUqrd+ehJlQ\n9L0HI/Y/pfu7ocBK/WkI0ovuDH/fH8FFtkkQQvQ4c9Ln8MGeDyirLevwpuCGYXD83HF2Fu+kpKYE\nhT7HYTiYnzmf5Aj3bfZqFqX0NMNTp6BPH7Oj8V6GAevW6a0lnnzS7GiEENfCGmBlwnMT2PTHTWQ/\nlE1o71DmZcxjyfYlPDPuGSwWGDsWtmyB8ePbuVhUFhR/B4kzQckYSkfUV9QTFNX1vVw7pKEU7L1p\ncjRhs9joCSsRJMETQvRIi4YvYs/pPby88WUWDV9EQtiVK65rm2rZUr6F/Vv2Y1EW+kX1Y2LyRBLD\nE02IuHvcfDN8+CE88ojZkXinw4dh+XK4/np4+mmzoxFCuIM10Mr458az+U+bGfnwSEJ6hRATHENh\nVSFJ4UnccAP8/vcwblwHtkGJnw6nf4CEGd0Su6/zeIEVAGcTWAMpqjhJQmgShT1gKxtJ8IQQPdbw\n+OFkxmbywd4PqG+ux2axEWQLIsgWRElNCUG2IJKCklg0dlH3/BDyAqGh0NCgy/4HBpodjXdZtkwX\noXn+ebBazY5GCOFONruN8c+OZ9OfNjHq0VHcMugW3t39Lk+MeQKl9BrldevgxhvbuVD0cDjwMsRP\nk1G8djTWNBIQ0n3LGgoqC4hw9KPBw0v+vIEkeEKIHs1us/PwyIcBvcVBfXM99c31RAVFYVEW1q5d\n22OSu/OmTtUbn990k9mReI/GRigokFE7IfyZLUgneZv/vJlRj4wiyBbEmdozxIbEMm6cHsW74YYO\nFOhImAaF30IfWaB7NWUHy+g1uFe3tZdfkU9Kw1C/3yIBpMiKEEJcYFEWQgL01BxLD/7kdfBgOHjQ\n7Ci8y3ffScIrRE8QEBzAhOcmsPOtnczuNZsvDn5x4bmZM/W9oF3R2dBYDuf2ey5QP1B2oIxeg7ov\nwTtbf5aa8nC/3+QcJMETQgjRin794MgRs6PwDoahK2amp5sdiRCiO5wfyTvy9yM4zzkpqSkBYPhw\nOHQI6us7cJF+i6D4e70Hm2hVQ1UD9nC7ZxtprgFbyIVvi4pUj9izVBI8IYQQV5g9G1asMDsK77Bj\nh+xzJ0RPYwuyMf658WRsyeDdte9iuPZJWLgQli7twAWUgvSn4Ojb0Fzn2WBF2y7ZIgGgthZCQq7y\nej8hCZ4QQogrBAZCQgKcPGl2JOb7+WddNVMI0bPY7Daue+E6Ujam8NXmrwBITASnE06f7sAFrIEw\n4FE4/JpsgH6ZhsoGgiI9vD0C6E3OgxJwGk4sytJ+FVQ/IQmeEEKIVs2fD19+aXYU5ioo0HsDtltU\nQQjhl2x2G3f86x0c+uAQ+cfyAbjrLvjoow5ewB4LyQvgyJueC9IHlR4o7Z4CK64RvOLq4la3Q/JX\n8iNLCCFEq+x2iI6GwkKzIzHPihUwd67ZUQghzGQNtPLYfzzG33//d6qKqggOhowM2LWrgxcIHwhR\nI+Dkpx6N05eUHSyjV2Y3JHgNZWDvRUFlAb0D+hLUDYOG3kASPCGEEG265Ra9/1tPVFOjl9H0hPUa\nQoiriwyLZOLzE1n2l2VUFVYxaxZ8/72ertkhvcaBNRhO/+jROH1Fc11z9+yBZzjAYiW/Ih9V2ZeU\nFM836Q0kwRNCCNGmkBC9+XlJDywE9+23cPPNZkchhPAWkwdO5uycs+z9+16qi6qYOxe+/roTF+gz\nB2pOwLm9HovRV5wvWtNdymrLqC6LlgRPCCGEALj1Vvjii/Zf508MQ6+/S042OxIhhDeJi4wj7dE0\n9v5jLylRVZw4oUf7OyztfjizFUp+9liM3q6uvI7gmOBub7egQPWYe7okeEIIIa4qPFyP4hUUmB1J\n98nJgaFDzY5CCOFtpqZNZV3BOsY/O559H+5jznXn+PDDTlxAKRjwMDSdg5Mf60+TepjSA6X0HtLb\n8w0ZBnCxbGZ9PQR3f15pCknwhBBCtOvOO+Hjj82Oovv8+CNMnmx2FEIIbxMXGkdpbSnWACvjnxvP\nmU2HUcVF5Od38kJ95kFYfzj8V3A6PBKrtzpz6AyxGbGeb6ipAgIicRpOVE/ZH8FFEjwhhBDtCgyE\nMWNgwwazI/G86mpdQTSgG9b/CyF8T1xoHKerT2OxWhjzxBhGp5Xz4b8f6fyFYkZDn7k6yetBI3mO\nRgc2u83zDdWfhuB4ymrL6BXSq8fsgQeS4AkhhOigG26ATZugsdHsSDxr5UqYNcvsKIQQ3mp62nRW\nH1sNgFKKEfdmMTDTwme/2d354iGhqRA/FY6954FIe7jaAgjuQ0FlAb0C+vaY6ZkgCZ4QQohOuOMO\n+OQTs6PwHMOAU6ekuIoQom2xIbGcqT3T4tgtz6dxxp7EHxZuInd/U+cuGJUFYWlQ8KUbo/RONSU1\nhPTupr1nak5AaD8KKgt61BYJIAmeEEKITujbVy9U99dtE3JyICvL7CiEEN4uKTyJwqrCC98rBY/9\nc28e/nM2P/5uCy//rwqOHevEBeNuAAwoXe/2WL1JtxVYAXA2gjWQ4upiast60bdv9zTrDSTBE0II\n0Sl33w3vvAPNzWZH4n5SXEUI0RFT06ay5tiaK45HJQbzyJsTuT4hj89/f7RzUzaT50PtKShY7rdr\n8srzyokZENOtbRqGQeEpC336dGuzppIETwghRKeEhMA998Abb5gdiXtVVkJQkBRXEUK0LyY4hvK6\n8lafs1gtjHtyNKHRgaz+t41UFVZ1/MKpCyE4CXJfgeZaN0XrPZxNTqyBVs835GgESyAABgYNDfr+\n3lN0QwkbIYQQ/iYlBUaP1hug33KL2dG4x1dfwbx5ZkchhPAVfSP7cvTsUfpH92/1+dufS+abLxM4\n8v0+rAFWshZmYbF1YGwldoxek5f7F+g1AQKiICAMrMHQeA5q83UBEWcDhKTqapzB8W5+d+7X6QI0\n16LmOIT2o6G5gUBrIH5eG+wKMoInhBCiS8aOBacTtm0zO5Jr53BAWRnExZkdiRDCV8xJn8NnBz5r\nM3Hp1QvOVdsYdl82KZNS2PiHjZzec7pjF7fHwuBf6+SuuRqqj8KZLVBfAuEDod8iGPiELtBSth5y\nX4Mjb0FD66OK3qC6uJqwxLBuauwIhA/gcPlh0mPSu6dNLyIJnhBCiC679VbYuhWOHjU7kmuzbh1M\nmWJ2FEIIXxJgDWBG/xl8k/dNm6+54Qb46SeI6hfFpF9PorKgkq2vbaWhsqH9BpQFoodD70mQMAOS\nF0D8jXqDdKtdV3YJTYWU2yDjKf1nwReQtwTqy9z4Tt2jNKeU3oO7qcBKbT4EJ5NTmkNqyBBCQ7un\nWW8hCZ4QQoguUwoef1xPb/TlJG/PHhg2zOwohBC+Jjshm+PnjnOu/lyrz48YAbt368dKKdLnpDNs\n0TB2v7ebwysOu23aosMBO/ZF8U3uw2wru5uS3Suo2f03as7UkJurP4j7+WfYsQNyc/V2MN1dKOvs\nkbNED4junsYMJ1isnKk9Q01ZbI+qoAmyBk8IIcQ1sljgmWfglVdg/nxISzM7os45fBgGDtTJqhBC\ndNZ9w+/j3d3v8sy4Z654Tim9vczx49Cvnz4WFBnEuKfHUbSziI2/30jWwiwi+0Z2ul3D0Enb3r26\nnexsvc1LWVkEu888QOXxGqxFf8awnyQkdhohUenU1lkoLITqaigs1EleaCiMGeP5LWIMp4HF2v1j\nS/n5+h7fk0iCJ4QQ4ppZLPCrX8Gf/6yLrpz/RcYXfP89PPqo2VEIIXxVhD2CjNgMthVuY0zSmCue\nnz0b3n1Xz3a4VOLIROKGxpHzcQ5NtU0Mvn0wwdHBHWqzqkpXMp44EZ54Qt+Dz7s4WhXK2rUTybx+\nHJRthKq1YHdCjF2v4wsbCMGJ1NQqNm6ElSth7lzIzOxSN1zV1UYqz53TCXBJCWRkQGrqNX7g1lwL\n1hBqm2oJDgimoKDnTcGXBE8IIYRbnE/yXn0VbroJBg0yO6L2VVRAcDAEBpodiRDCl83sP5Ml25eQ\nU5rDlH5T6Bt5cU5gcDBER8OGDTBxosGa42vYX7Ifu82uX5AJDecayHk9h4GxAxl590jsEfY229q3\nTydjjz4KkR0Z+LOFQMJ0/QXgqNdFW8q3QV0RoUYzMzLimDppGl+vimXlSrjrLoh3Y2HOyoJKIlIi\nLnx/9Kie2h8YCFFR+kPBgQMhJwdWrNCvCQ6G2FiIidF/Zma2TGTbVH0UwvpzqOwQg3oNYldjz7vH\nS4InhBDCbaxWPV3zrbf0J8xjx5od0dV9/rlsjSCEuHZKKR4f8ziVDZWsObaGZQeXERoYSlbvLIbG\nDWXhwlDeWFrAK7/ZzQuPxfOr8b9qcb5hGBzOPsxP+37ip//4iYyEDGY/PBt7eMtE7/PP9Xq7F1+8\nhlEuaxBEDtFf59UVYz39HfMzz9CUGcKKZakMGN6foeNSwHIN6UJzDZzbR9nq7fROMajcsYYd2yEy\n0uDpmwysViAwFsLTITyd/v0vVtlsaIDycjh7FoqKYMXXzcybtIPMEYkQmtJ2m9VHIHYcB/LWMDd9\nLru6Hr3PkgRPCCGEW1ks+pPlpUt1kjdtmtkRta6oSMfau5uKugkh/F+EPYIFgxYAUN9cT05pDp8e\n+JTqxmoShyXyr8Pns+IjK4MXQ3j4xfOUUmTEZpBxYwbGZIMVW1fwx3/7I+MGjOP6+67HFhzAe+9B\nerqelul2wQnQ7x4AAhyNzE88wfqVuewq+J7s4U0QnEhj1A2s3dib3Fy47jq95u+KJNPZBOU74dwu\ncDaDLQxnRBY7D4ykuGoCkVGK2xdBSMgl5zScgcpcKPhcbwkBgAW7JZBEeyyJUXaG2I4wNdnClsMj\nWf3e1wye/wRJSW28l7oiCEqgor6CyKDOr230B5LgCSGE8IiFC+Hbb/Vo3t13X/YD3QssXXrlmhgh\nhHCXIFsQoxJHMSpxVIvjfZLgr3+F++6j1SRFKcXccXOZOXomH677kD/+7z9Ruj+TqfdmMWFCGuDh\nilDWQFREOtffmc6WLfCX7yAioJBE6xqGZ5QxY3Yo205M4pVXBpKQoJg6qYTQmvXYmouw2mxUWrM5\nXvEgJ/IDKSzUxWDi1Taeelq1PsXSHgu9J+qvSzkadPLnqMNImAHKwvgMRfOB7bz6MTz33FXegyvz\nLC3VUzx7GlMSPKXUbOBPgBV4wzCM35oRhxBCCM+aPVsvnH/rLb3wf968Dq6h8LBdu/QawaAgsyMR\nQvQ0ERHwwgvw2mt6vfLgwa2/LtAayD3XP8Bre5xM/cUxTh34gd//t3OER4cz/9b5JAxOQHm4/O+4\ncXptXFhYEoGBC/XBpirGhW5kXMp3nKtQHNwYR3HTJCqbk2hq0mvqUlJgwgSIiwOFwY43WiZ35XXl\nHCo7RH1zPZFBkUTYI4iwR2BRFpyGE6fhpLKhkp1FOzlTdwbQI6KPjnqUiLAEYoILcTiS9BTPVlQ1\nVBEWGMbevXqrip6m2xM8pZQVeBWYCRQAW5VSyw3DyOnuWIQQQnheXJxel3fwIPzlL2C3Q0IClJeH\nMno0hIV17xYFTiesWgX/9E/d16YQQlwqIACefRbeeUevMZs06crX5OToQiSLFlno02cAXDcAgKOn\njvKPT/9B2D/CGJ4wnD4j+5A0JglrYBvZzjW6YgQsIBwSb4LEm4gCJlxlrbXTcHJw7yGOBR5jx/Yd\nOAyHvmZwDBmxGcSGxFJRX8HJipNU1FdgYGBRFizKQmhAKDP6zyA2JBaAyoZK3tjxBjf3GUF28iYO\nHbqNIUMua7DxHAREcrDsIIN7D2bHZrjxRrd1hc8wYwRvHJBnGMZRAKXUh8ACQBI8IYTwY4MG6S/D\ngNOn4eOPrSxfrvdjAn0cwGbTCWBSEiQnQ69e7h31W7EC5syRfe+EEOZSCh56SCdxr72mq1aOH68/\nFHv/fT0S9utfX3n/69+nPy8++yLHzx3n8/2fk3YmjZJ3SnA2OwmOCSYmPYaYgTEERXp+ioLTcHKm\n9gyltaWU1pRSWltKeV15i20RwnaGMWTcEIYOHUqANaDLbUXYI3hhwgt8duAzkq2rOLKrlQSv+iiE\nDeDAqQPcNvg2tjpoc5TPn5mR4PUB8i/5vgAYb0IcQgghTKCUTuCGDatsdW+ipiYoLtab8P78M5SV\n6VG3SxOySx8bhi6Bfddd7a/zKyiAkyelcqYQwnucvx8VF8Pmzfo+deutra/Pu1S/qH68cN0LbCvc\nxtrja7l18K0kkkh5XjmHVxymoaKB3AO5nNpwirLaMhxOBxZlwTAMlFW1mwUoq9LL/az6S1kUWEBF\nKAJHBKKUQqGIDYmld0hv4sPiGRo3lOjgaCzqYla6bfs2sodl6/OvkVKK24fczpaSryk4fQ6IavmC\nqjxImE5N43bsKgxbD602oq628aBHGlTqDmC2YRiPur6/HxhvGMYzl71uMbDY9e0SwzCWdHOci7u7\nzZ5A+tVzpG89Q/rVc6RvPUf61jOkXz1H+tYzpF89x5v71oyl7qeASzevSHYda8EwjCWGYYxxfZnR\neYvbf4noAulXz5G+9QzpV8+RvvUc6VvPkH71HOlbz5B+9Ryv7VszErytQLpSKk0pFQjcDSw3IQ4h\nhBBCCCGE8CvdPjPVMIxmpdQzwEr0rN63DMPY391xCCGEEEIIIYS/MWXpoWEYK4AVZrTdCV45p9YP\nSL96jvStZ0i/eo70redI33qG9KvnSN96hvSr53ht33Z7kRUhhBBCCCGEEJ5hxho8IYQQQgghhBAe\n4PMJnlJqtlLqkFIqTyn1Py45/o5S6phSapfrK7uN89OUUptd53/kKvyCUupFpVSOUmqPUmq1Uiq1\nk+0rpdS/K6VylVIHlFLPuvu9e5oX9O1bSqkSpdS+y47/Til10HX+50qpqNbO92Ze3LfZSqlNrra3\nKaXGufN9e5oH+/UJpdRe17k/K6Uu31r1/Pm/VEoddn398pLjo13n5yml/qyU722x7cV9G6iUWuK6\n1x5USt3u7vfuSV7Qr98qpc4ppb667PgHrrj2ue4XXd+d2CRe3LfTlVI7Ljl/oDvfd3fwVN9e8vzt\nSilDKTWmjfP98l7rxf3q0/dZ8Iq+7d57rWEYPvuFLtJyBOgPBAK7gSGu594B7ujANZYCd7sevw48\n6Xo8FQhxPX4S+KiT7T8EvAtYXN/Hmd1fvtS3rucmA6OAfZcdvwmwuR7/X+D/mt1fftS33wE3ux7P\nAdaa3V9e0q8Rl7xmPvBtK+fGAEddf0a7Hke7ntsCTEBvGfvN+T72lS8v79v/D/g312ML0Mvs/vKV\nfnU9Nx34BfDVZcfnuP69KuAf56/rK19e3re5wGDX46eAd8zuL2/pW9f34cA6YBMwppVz/fJe6+X9\n6rP3WW/oW9druvVe6+sjeOOAPMMwjhqG0Qh8CCzo6MmuT3amAZ+4Dv0XcAuAYRhrDMOodR3fhN6v\nrzPtPwn8b8MwnK7rlXTqnZnP7L7FMIx1QHkrx78zDKO5vfO9mNf2LWAAEa7HkUBhR+PyAp7s18pL\nXhqK7qfLzQK+Nwyj3DCMs8D3wGylVCL6F8JNhr6bv3v+upSPwmoAAAXySURBVD7EK/vW9dzDwH+4\nruU0DKOsw+/KfGb3K4ZhrAaqWjm+wnBB/9Is91k39S2+fZ8FD/aty/9Bf3hb38Yl/PVe65X96nrO\nl++zYH7fdvu91tcTvD5A/iXfF7iOnffvSk9V+4NSyt7K+bHAuUuShcvPP+8R9CdBnWl/AHCX0tPc\nvlFKpbf/dryK2X3bUQ9f4/lm8Oa+fR74nVIqH3gJ+OdOnm8mj/arUupppdQR4P8BrU25bqv9Pq7H\nbcXlC7yyb9XF6dn/R+kpbx8rpeI79c7MZXa/tss1Xeh+4NuunG8ib+7bR4EVSqkCdN/+tpPnm81j\nfauUGgWkGIbxdRfa9/V7rVf2qx/cZ8H8vm2Xu++1vp7gXc0/A4OAsejh5v/elYsope4DxgC/6+Sp\ndqDeMIwxwH8Cb3WlfS9ldt+eP/9fgGbgg66c76XM7tsngRcMw0gBXgDe7Er7Xuia+9UwjFcNwxjg\nOvd/ujc8n2Zm39rQn3ZuMAxjFLAR/cGEP/CWf7OvAesMw/ipi+d7I7P79gVgjmEYycDbwMudbd+L\ndblvlVIWdF/8k2dC82lm9qs/32fBe/7NuvVe6+sJ3ikg5ZLvk13HMAyjyDXi2YC+gY4DUEqtdC2i\nfAM4A0QppWyXn+967QzgX4D5rut0uH10dv+Z6/HnwPAuv0tzmN23V6WUehCYByxyDWv7Em/u219y\n8d/tx+fb9xEe7ddLfEjr037aav8ULadctHVdb+atfXsGqKXlv9lRnX97pjG7X69KKfW/gN7Ai509\n1wt4Zd8qpXoDIwzD2Ow69BEwqeNvyyt4qm/DgaHAWqXUcfRauuXqyqIV/nqv9dZ+9fX7LJjft1fl\nkXut4QWLH7v6hf5U4SiQxsVFk1mu5xJdfyrgj8Bv27jGx7RcNPmU6/FI9ILM9C62/1vgYdfjKcBW\ns/vLl/r2kmv048pCILOBHKC32f3kh317AJjiejwd2G52f3lJv6Zf8ppfANtaOTcGOIZenB7tehzj\neu7yhf9zzO4vP+rbD4FprscPAh+b3V++0q+XPD+FKxf+PwpsAILN7id/6ltXXGVAhuv7R4BPze4v\nb+nby16zlraLgfjdvdbL+9Vn77Pe0LeXPN/ifuA65pF7remd7oa/tDnoilRHgH+55PgPwF5gH/A+\nENbG+f1dN4Q811+e3XV8FXAa2OX6Wt7J9qOAr10xbER/Ymd6f/lY3/4DKAKa0COij7iO56HnUp8/\n/3Wz+8qP+vZ6YLvr5rcZGG12X3lJv/4J2O/q0zW4fjC0cv7DrnPzgIcuOT7G1fYR4C+AMruv/Khv\nU9HVy/YAq4G+ZveVj/XrT0ApUOe6F8xyHW92xXT+XvKvZveVH/Xtra72d6N/Iexvdl95S99e9pq1\ntF2R0C/vtV7crz59n/WSvu3We61yXVwIIYQQQgghhI/z9TV4QgghhBBCCCFcJMETQgghhBBCCD8h\nCZ4QQgghhBBC+AlJ8IQQQgghhBDCT0iCJ4QQQgghhBB+wtb+S4QQQgj/opSKRZf7BkgAHOgS1gC1\nhmH42ubTQgghBIBskyCEEKJnU0r9Bqg2DOMls2MRQgghrpVM0RRCCCEuoZSqdv05RSn1o1JqmVLq\nqFLqt0qpRUqpLUqpvUqpAa7X9VZKfaqU2ur6us7cdyCEEKInkwRPCCGEaNsI4AlgMHA/kGEYxjjg\nDeBXrtf8CfiDYRhjgdtdzwkhhBCmkDV4QgghRNu2GoZRBKCUOgJ85zq+F5jqejwDGKKUOn9OhFIq\nzDCM6m6NVAghhEASPCGEEOJqGi557LzkeycXf4ZagAmGYdR3Z2BCCCFEa2SKphBCCHFtvuPidE2U\nUtkmxiKEEKKHkwRPCCGEuDbPAmOUUnuUUjnoNXtCCCGEKWSbBCGEEEIIIYTwEzKCJ4QQQgghhBB+\nQhI8IYQQQgghhPATkuAJIYQQQgghhJ+QBE8IIYQQQggh/IQkeEIIIYQQQgjhJyTBE0IIIYQQQgg/\nIQmeEEIIIYQQQvgJSfCEEEIIIYQQwk/8/9FicNFATnSHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e4345d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0/fv31+vZoqIizcvLS9u2bZumaZp28eJFbdSoUdprr712y2dv1a5Nzdw/V1cr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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10dff3550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6CQkJxMXF4ebmBkBqaipPP/00R48e5ejRo3z00Ufs2bOHRYsW8dprrwEwZ84cevToQWJi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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111a13190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uLmFhYWRmZjJjxgzmzp172vYCAwPp3bs3OTk5DBw4kISEBHJzcykpKaFv375N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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111003990>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "color_by_tank = tank_to_color\n",
    "# Cut out Tank G to get a cleaner-looking temperature graph\n",
    "# tanks = [C2_TANK_1, C1_TANK_A, C1_TANK_B, C1_TANK_F]\n",
    "\n",
    "for dimension in dimensions:\n",
    "    fig = plt.figure(figsize=(15, 6))\n",
    "    for tank in tanks:\n",
    "        tank_ysi_data = ysi_data.selecteq('tank', tank)\n",
    "        tank_tuh_data = tuh_data.selecteq('tank', tank)\n",
    "        tank_node_data = node_data_by_tank_and_dimension[tank][dimension]\n",
    "        \n",
    "        values = list(tank_node_data.values('calculated_value'))\n",
    "\n",
    "        plt.plot(\n",
    "            list(tank_node_data.values('create_date')),\n",
    "            signal.savgol_filter(values, 11, 3), # Smooth y values\n",
    "            alpha=0.8,\n",
    "            linewidth=0.5,\n",
    "            label='{} - Osmo'.format(tank),\n",
    "            color=color_by_tank[tank]\n",
    "        )\n",
    "        if dimension in tank_ysi_data.header():\n",
    "            plt.scatter(\n",
    "                list(tank_ysi_data.values('Time')),\n",
    "                list(tank_ysi_data.values(dimension)),\n",
    "                marker='x',\n",
    "                label='{} - Osmo YSI'.format(tank),\n",
    "                color=color_by_tank[tank],\n",
    "                linewidth=0.5,\n",
    "            )\n",
    "        \n",
    "        if dimension in tank_tuh_data.header():\n",
    "            plt.scatter(\n",
    "                list(tank_tuh_data.values('Time')),\n",
    "                list(tank_tuh_data.values(dimension)),\n",
    "                marker='*',\n",
    "                label='TUH',\n",
    "                color=color_by_tank[tank],\n",
    "                linewidth=2,\n",
    "            )\n",
    "\n",
    "        ax = plt.gca()\n",
    "        for spine in ax.spines.values():\n",
    "            spine.set_visible(False)\n",
    "        \n",
    "        for threshold in thresholds_by_dimension[dimension]:\n",
    "            plt.axhline(threshold, color=(193/256., 73/256., 83/256.), linewidth=0.5)\n",
    "    plt.title('{} - All Tanks'.format(dimension))\n",
    "    plt.xlim(min_time, max_time)\n",
    "    plt.ylim(*y_axis_by_dimension[dimension])\n",
    "    plt.legend()\n",
    "    plt.xlabel('Time')\n",
    "    plt.ylabel(dimension)\n",
    "\n",
    "    plt.grid(axis='x')\n",
    "    plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}