README.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "further-terrorism",
   "metadata": {},
   "source": [
    "# ppsim Python package\n",
    "\n",
    "The `ppsim` package is used for simulating population protocols. The package and further example notebooks can be found on [Github](https://github.com/UC-Davis-molecular-computing/ppsim).\n",
    "\n",
    "The core of the simulator uses a [batching algorithm](https://arxiv.org/abs/2005.03584) which gives significant asymptotic gains for protocols with relatively small reachable state sets. The package is designed to be run in a Python notebook, to concisely describe complex protocols, efficiently simulate their dynamics, and provide helpful visualization of the simulation.\n",
    "\n",
    "## Installation\n",
    "\n",
    "The package can be installed with `pip` via"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "sporting-husband",
   "metadata": {},
   "outputs": [],
   "source": [
    "pip install ppsim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "confused-aggregate",
   "metadata": {},
   "source": [
    "The most important part of the package is the `Simulation` class, which is responsible for parsing a protocol, performing the simulation, and giving data about the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "grateful-pantyhose",
   "metadata": {},
   "outputs": [],
   "source": [
    "from ppsim import Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "intimate-award",
   "metadata": {},
   "source": [
    "## First example protocol\n",
    "\n",
    "A state can be any hashable Python object. The simplest way to describe a protocol is a dictionary mapping pairs of input states to pairs of output states.\n",
    "For example, here is a description of the classic 3-state [approximate majority protocol](http://www.cs.yale.edu/homes/aspnes/papers/approximate-majority-journal.pdf). There are two initial states `A` and `B`, and the protocol converges with high probability to the majority state with the help of a third \"undecided\" state `U`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "empirical-africa",
   "metadata": {},
   "outputs": [],
   "source": [
    "a, b, u = 'A', 'B', 'U'\n",
    "approximate_majority = {\n",
    "    (a,b): (u,u),\n",
    "    (a,u): (a,a),\n",
    "    (b,u): (b,b)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "necessary-aviation",
   "metadata": {},
   "source": [
    "To instantiate a `Simulation`, we must specify a protocol along with an initial condition, which is a dictionary mapping states to counts. Let's simulate approximate majority with in a population of one billion agents with a slight majority of `A` agents."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "graphic-princess",
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 10 ** 9\n",
    "init_config = {a: 0.501 * n, b: 0.499 * n}\n",
    "sim = Simulation(init_config, approximate_majority)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "responsible-illness",
   "metadata": {},
   "source": [
    "Now let's run this simulation for `10` units of parallel time (`10 * n` interactions). We will record the configuration every `0.1` units of time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "everyday-australian",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Time: 10.000\n"
     ]
    }
   ],
   "source": [
    "sim.run(10, 0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "biological-journalism",
   "metadata": {},
   "source": [
    "The `Simulation` class can display all these configurations in a `pandas` dataframe in the attribute `history`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "flying-imaging",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>B</th>\n",
       "      <th>U</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>time (n interactions)</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  <tbody>\n",
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       "    <tr>\n",
       "      <th>10.0</th>\n",
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       "<p>102 rows × 3 columns</p>\n",
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      "text/plain": [
       "                               A          B          U\n",
       "time (n interactions)                                 \n",
       "0.0                    501000000  499000000          0\n",
       "0.1                    459457762  457439751   83102487\n",
       "0.2                    430276789  428217565  141505646\n",
       "0.3                    409027376  406898254  184074370\n",
       "0.4                    393162729  390949934  215887337\n",
       "...                          ...        ...        ...\n",
       "9.7                    771074143   55357812  173568045\n",
       "9.8                    789103074   48973925  161923001\n",
       "9.9                    806667929   43076383  150255688\n",
       "10.0                   823641388   37668547  138690065\n",
       "10.0                   823641389   37668547  138690064\n",
       "\n",
       "[102 rows x 3 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.history"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "adjacent-better",
   "metadata": {},
   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = sim.history.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "racial-seller",
   "metadata": {},
   "source": [
    "Without specifying an end time, `run` will run the simulation until the configuration is silent (all interactions are null). In this case, that will be when the protocol reaches a silent majority consensus configuration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "described-jaguar",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Time: 21.000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim.run()\n",
    "p = sim.history.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "smart-hacker",
   "metadata": {},
   "source": [
    "Note that by default, `Simulation` assumes that input pair `(b,a)` will have the same transition as `(a,b)`, so order doesn't matter, with the default setting `transition_order = 'symmetric'`.\n",
    "Thus we have the exact same protocol as if we had spent more time explicitly specifying"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "extensive-constant",
   "metadata": {},
   "outputs": [],
   "source": [
    "approximate_majority_symmetric = {\n",
    "    (a,b): (u,u), (b,a): (u,u),\n",
    "    (a,u): (a,a), (u,a): (a,a),\n",
    "    (b,u): (b,b), (u,b): (b,b)\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "norman-sampling",
   "metadata": {},
   "source": [
    "If we intentionally meant for these pairwise transitions to only happen in this specified order, we can declare that. We see in this case that it has the same behavior, but just runs twice as slow because now every interaction must happen in a specified order."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "authorized-missouri",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A, B  -->  U, U      with probability 0.5\n",
      "A, U  -->  A, A      with probability 0.5\n",
      "B, U  -->  B, B      with probability 0.5\n",
      " Time: 44.000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = Simulation(init_config, approximate_majority, transition_order='asymmetric')\n",
    "print(sim.reactions)\n",
    "sim.run()\n",
    "p = sim.history.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "military-bridal",
   "metadata": {},
   "source": [
    "A key result about this protocol is it converges in expected O(log n) time, which surprisingly is very nontrivial to prove. We can use this package to very quickly gather some convincing data that the convergence really is O(log n) time, with the function `time_trials`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "smooth-crown",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f77cc0d9452b492a8502a283a2728fe0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/20 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>n</th>\n",
       "      <th>time</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>10</td>\n",
       "      <td>3.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>10</td>\n",
       "      <td>2.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>10</td>\n",
       "      <td>2.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>10</td>\n",
       "      <td>2.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>10</td>\n",
       "      <td>3.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1492</th>\n",
       "      <td>42813323</td>\n",
       "      <td>23.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1493</th>\n",
       "      <td>100000000</td>\n",
       "      <td>28.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1494</th>\n",
       "      <td>100000000</td>\n",
       "      <td>25.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1495</th>\n",
       "      <td>100000000</td>\n",
       "      <td>25.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1496</th>\n",
       "      <td>100000000</td>\n",
       "      <td>24.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1497 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              n  time\n",
       "0            10   3.0\n",
       "1            10   2.1\n",
       "2            10   2.8\n",
       "3            10   2.7\n",
       "4            10   3.8\n",
       "...         ...   ...\n",
       "1492   42813323  23.8\n",
       "1493  100000000  28.1\n",
       "1494  100000000  25.2\n",
       "1495  100000000  25.1\n",
       "1496  100000000  24.6\n",
       "\n",
       "[1497 rows x 2 columns]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from ppsim import time_trials\n",
    "import numpy as np\n",
    "\n",
    "ns = [int(n) for n in np.geomspace(10, 10 ** 8, 20)]\n",
    "def initial_condition(n):\n",
    "    return {'A': n // 2, 'B': n // 2}\n",
    "df = time_trials(approximate_majority, ns, initial_condition, num_trials=100, max_wallclock_time = 30)\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "working-straight",
   "metadata": {},
   "source": [
    "This dataframe collected time from up to 100 trials for each population size n across a many orders of magnitude, limited by the budget of 30 seconds of wallclock time that we gave it.\n",
    "We can now use the `seaborn` library to get a convincing plot of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "democratic-polyester",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "lp = sns.lineplot(x='n', y='time', data=df)\n",
    "lp.set_xscale('log')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "continent-bacteria",
   "metadata": {},
   "source": [
    "## Larger state protocol\n",
    "\n",
    "For more complicated protocols, it would be very tedious to use this dictionary format. Instead we can give an arbitrary Python function which takes a pair of states as input (along with possible other protocol parameters) and returns a pair of states as output (or if we wanted a randomized transition, it would output a dictionary which maps pairs of states to probabilities).\n",
    "\n",
    "As a quick example, let's take a look at the discrete averaging dynamics, as analyzed [here](https://arxiv.org/abs/1808.05389) and [here](https://hal-cnrs.archives-ouvertes.fr/hal-02473856/file/main_JAP.pdf), which have been a key subroutine used in counting and majority protocols."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "id": "unique-tissue",
   "metadata": {},
   "outputs": [],
   "source": [
    "from math import ceil, floor\n",
    "\n",
    "def discrete_averaging(a, b):\n",
    "    avg = (a + b) / 2\n",
    "    return floor(avg), ceil(avg)\n",
    "\n",
    "n = 10 ** 6\n",
    "sim = Simulation({0: n // 2, 50: n // 2}, discrete_averaging)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "tutorial-belle",
   "metadata": {},
   "source": [
    "We did not need to explicitly describe the state set. Upon initialization, `Simulation` used breadth first search to find all states reachable from the initial configuration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "id": "hungarian-effects",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50]\n"
     ]
    }
   ],
   "source": [
    "print(sim.state_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "legendary-royal",
   "metadata": {},
   "source": [
    "This enumeration will call the function `rule` we give it O(q^2) times, where q is the number of reachable states. This preprocessing step also builds an internal representation of the transition function, so it will not need to continue calling `rule`. Thus we don't need to worry too much about our code for `rule` being efficient.\n",
    "\n",
    "Rather than the dictionary format used to input the configuration, internally `Simulation` represents the configuration as an array of counts, where the ordering of the indices is given by `state_list`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "id": "stuffed-sapphire",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: 500000, 50: 500000}"
      ]
     },
     "execution_count": 150,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.config_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "id": "exposed-concentrate",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([500000,      0,      0,      0,      0,      0,      0,      0,\n",
       "            0,      0,      0,      0,      0,      0,      0,      0,\n",
       "            0,      0,      0,      0,      0,      0,      0,      0,\n",
       "            0,      0,      0,      0,      0,      0,      0,      0,\n",
       "            0,      0,      0,      0,      0,      0,      0,      0,\n",
       "            0,      0,      0,      0,      0,      0,      0,      0,\n",
       "            0,      0, 500000], dtype=int64)"
      ]
     },
     "execution_count": 151,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.config_array"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "graphic-ownership",
   "metadata": {},
   "source": [
    "A key result about these discrete averaging dynamics is that they converge in O(log n) time to at most 3 consecutive values. It could take longer to reach the ultimate silent configuration with only 2 consecutive values, so if we wanted to check for the faster convergence condition, we could use a function that checks for the condition. This function takes a configuration dictionary (mapping states to counts) as input and returns `True` if the convergence criterion has been met."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "id": "furnished-lingerie",
   "metadata": {},
   "outputs": [],
   "source": [
    "def three_consecutive_values(config):\n",
    "    states = config.keys()\n",
    "    return max(states) - min(states) <= 2"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "thousand-garlic",
   "metadata": {},
   "source": [
    "Now we can run until this condition is met (or also use `time_trials` as above to generate statistics about this convergence time)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "id": "composite-direction",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Time: 14.800\n"
     ]
    },
    {
     "data": {
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       "      <th>time (n interactions)</th>\n",
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       "      <td>134</td>\n",
       "      <td>2</td>\n",
       "      <td>8</td>\n",
       "      <td>...</td>\n",
       "      <td>9</td>\n",
       "      <td>0</td>\n",
       "      <td>125</td>\n",
       "      <td>395</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>450243</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.2</th>\n",
       "      <td>401257</td>\n",
       "      <td>11</td>\n",
       "      <td>11</td>\n",
       "      <td>229</td>\n",
       "      <td>30</td>\n",
       "      <td>14</td>\n",
       "      <td>2125</td>\n",
       "      <td>694</td>\n",
       "      <td>18</td>\n",
       "      <td>199</td>\n",
       "      <td>...</td>\n",
       "      <td>188</td>\n",
       "      <td>26</td>\n",
       "      <td>684</td>\n",
       "      <td>2165</td>\n",
       "      <td>11</td>\n",
       "      <td>27</td>\n",
       "      <td>176</td>\n",
       "      <td>10</td>\n",
       "      <td>7</td>\n",
       "      <td>401337</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.3</th>\n",
       "      <td>354726</td>\n",
       "      <td>46</td>\n",
       "      <td>61</td>\n",
       "      <td>715</td>\n",
       "      <td>146</td>\n",
       "      <td>70</td>\n",
       "      <td>4818</td>\n",
       "      <td>1643</td>\n",
       "      <td>114</td>\n",
       "      <td>721</td>\n",
       "      <td>...</td>\n",
       "      <td>753</td>\n",
       "      <td>134</td>\n",
       "      <td>1730</td>\n",
       "      <td>5086</td>\n",
       "      <td>75</td>\n",
       "      <td>122</td>\n",
       "      <td>720</td>\n",
       "      <td>53</td>\n",
       "      <td>33</td>\n",
       "      <td>354312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0.4</th>\n",
       "      <td>310248</td>\n",
       "      <td>106</td>\n",
       "      <td>145</td>\n",
       "      <td>1572</td>\n",
       "      <td>360</td>\n",
       "      <td>251</td>\n",
       "      <td>8297</td>\n",
       "      <td>2953</td>\n",
       "      <td>340</td>\n",
       "      <td>1720</td>\n",
       "      <td>...</td>\n",
       "      <td>1708</td>\n",
       "      <td>399</td>\n",
       "      <td>2926</td>\n",
       "      <td>8523</td>\n",
       "      <td>233</td>\n",
       "      <td>327</td>\n",
       "      <td>1653</td>\n",
       "      <td>161</td>\n",
       "      <td>116</td>\n",
       "      <td>309999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.4</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.5</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.6</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.7</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14.8</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>149 rows × 51 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                            0    1    2     3    4    5     6     7    8  \\\n",
       "time (n interactions)                                                      \n",
       "0.0                    500000    0    0     0    0    0     0     0    0   \n",
       "0.1                    450215    1    1    20    3    1   391   134    2   \n",
       "0.2                    401257   11   11   229   30   14  2125   694   18   \n",
       "0.3                    354726   46   61   715  146   70  4818  1643  114   \n",
       "0.4                    310248  106  145  1572  360  251  8297  2953  340   \n",
       "...                       ...  ...  ...   ...  ...  ...   ...   ...  ...   \n",
       "14.4                        0    0    0     0    0    0     0     0    0   \n",
       "14.5                        0    0    0     0    0    0     0     0    0   \n",
       "14.6                        0    0    0     0    0    0     0     0    0   \n",
       "14.7                        0    0    0     0    0    0     0     0    0   \n",
       "14.8                        0    0    0     0    0    0     0     0    0   \n",
       "\n",
       "                          9  ...    41   42    43    44   45   46    47   48  \\\n",
       "time (n interactions)        ...                                               \n",
       "0.0                       0  ...     0    0     0     0    0    0     0    0   \n",
       "0.1                       8  ...     9    0   125   395    0    2    16    0   \n",
       "0.2                     199  ...   188   26   684  2165   11   27   176   10   \n",
       "0.3                     721  ...   753  134  1730  5086   75  122   720   53   \n",
       "0.4                    1720  ...  1708  399  2926  8523  233  327  1653  161   \n",
       "...                     ...  ...   ...  ...   ...   ...  ...  ...   ...  ...   \n",
       "14.4                      0  ...     0    0     0     0    0    0     0    0   \n",
       "14.5                      0  ...     0    0     0     0    0    0     0    0   \n",
       "14.6                      0  ...     0    0     0     0    0    0     0    0   \n",
       "14.7                      0  ...     0    0     0     0    0    0     0    0   \n",
       "14.8                      0  ...     0    0     0     0    0    0     0    0   \n",
       "\n",
       "                        49      50  \n",
       "time (n interactions)               \n",
       "0.0                      0  500000  \n",
       "0.1                      0  450243  \n",
       "0.2                      7  401337  \n",
       "0.3                     33  354312  \n",
       "0.4                    116  309999  \n",
       "...                    ...     ...  \n",
       "14.4                     0       0  \n",
       "14.5                     0       0  \n",
       "14.6                     0       0  \n",
       "14.7                     0       0  \n",
       "14.8                     0       0  \n",
       "\n",
       "[149 rows x 51 columns]"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.run(three_consecutive_values, 0.1)\n",
    "sim.history"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "heard-decline",
   "metadata": {},
   "source": [
    "With a much larger number of states, the `history` dataframe is more unwieldly, so trying to directly call `history.plot()` would be very messy and not very useful. Instead, we will define a function that makes a barplot, using the data in a single row of `sim.history` to visualize the distribution at that recorded time step."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "vietnamese-baker",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "def plot_row(row):\n",
    "    fig, ax = plt.subplots(figsize=(12,5))\n",
    "    sim.history.iloc[row].plot(ax=ax, kind='bar', \n",
    "                              title=f'Discrete averaging at time {sim.history.index[row]:.2f}', \n",
    "                              xlabel='minute',\n",
    "                              ylim=(0,n))\n",
    "plot_row(0)\n",
    "plot_row(30)\n",
    "plot_row(-1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "blond-brooklyn",
   "metadata": {},
   "source": [
    "The `ipywidgets` library gives a quick way to make a slider that lets us visualize the evolution of this distribution:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "martial-battle",
   "metadata": {},
   "outputs": [],
   "source": [
    "import ipywidgets as widgets\n",
    "bar = widgets.interact(plot_row, row = widgets.IntSlider(\n",
    "    min=0, max=len(sim.history)-1, step=1, value=0, layout = widgets.Layout(width='100%')))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "passive-times",
   "metadata": {},
   "source": [
    "It is recommended to use an interactive matplotlib backend, such as `ipympl`, which can be installed with `pip install ipympl` and then activated with the cell magic `%matplotlib widget`. The recommended environment to use for these notebooks is [Jupyter Lab](https://jupyterlab.readthedocs.io/en/stable/). Unfortunately, these interactive backends are not supported with [Google Colab](https://colab.research.google.com/), so there does not seem to be an easy way to have access to interactive backends with something that can be run only in a browser without local installation.\n",
    "\n",
    "The code with the slider above was designed to work in the non-interactive backend. The following cell shows how to accomplish the same thing with an interactive backend:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "id": "intensive-limitation",
   "metadata": {},
   "outputs": [],
   "source": [
    "# The following example uses the ipympl backend. It creates one figure and axis once and then modifies the axis directly with plot_row.\n",
    "# If ipympl is installed, then uncommenting and running the following code will produce a slider that changes one single interactive figure object.\n",
    "\n",
    "# %matplotlib widget\n",
    "# def plot_row(row):\n",
    "#     ax.clear()\n",
    "#     sim.history.iloc[row].plot(ax=ax, kind='bar', \n",
    "#                               title=f'Discrete averaging at time {sim.history.index[row]:.2f}', \n",
    "#                               xlabel='minute',\n",
    "#                               ylim=(0,n))\n",
    "#     fig.canvas.draw()\n",
    "    \n",
    "# fig, ax = plt.subplots()\n",
    "# bar = widgets.interact(plot_row, row = widgets.IntSlider(\n",
    "#     min=0, max=len(sim.history)-1, step=1, value=0, layout = widgets.Layout(width='100%')))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cooperative-velvet",
   "metadata": {},
   "source": [
    "Because the population average was exactly 25, the ultimate silent configuration will have every agent in state 50, but it will take a a very long time to reach, as we must wait for pairwise interactions between dwindling counts of states 24 and 26. We can check that this reaction is now the only possible non-null interaction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "id": "former-campaign",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "24, 26  -->  25, 25\n"
     ]
    }
   ],
   "source": [
    "print(sim.enabled_reactions)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "finished-split",
   "metadata": {},
   "source": [
    "As a result, the probability of a non-null interaction will grow very small, upon which the simulator will switch to the Gillespie algorithm. This allows it to relatively quickly run all the way until silence, which we can confirm takes a very long amount of parallel time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "id": "scenic-manual",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Time: 578983.800\n"
     ]
    }
   ],
   "source": [
    "# Setting history_interval to be a function of time t that shrinks, to not record too many configurations over a long time scale\n",
    "sim.run(history_interval=lambda t: 10 ** len(str(int(t))) / 100)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "hazardous-birth",
   "metadata": {},
   "source": [
    "To better visualize small count states, we add an option to change `yscale` from `linear` to `symlog`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "accepted-baptist",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_row(row, yscale):\n",
    "    fig, ax = plt.subplots(figsize=(12,5))\n",
    "    sim.history.iloc[row].plot(ax=ax, kind='bar', \n",
    "                              title=f'Discrete averaging at time {sim.history.index[row]:.2f}', \n",
    "                              xlabel='minute',\n",
    "                              ylim=(0,n))\n",
    "    ax.set_yscale(yscale)\n",
    "    \n",
    "bar = widgets.interact(plot_row, \n",
    "                       row = widgets.IntSlider(min=0, max=len(sim.history)-1, step=1, value=0, layout = widgets.Layout(width='100%')),\n",
    "                      yscale = ['linear','symlog'])"
   ]
  },
  {
   "attachments": {
    "89894d3e-7e28-4502-b3d9-8fd8204d55c6.png": {
     "image/png": 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2clvHOWy1R30p5hf5/DakNvJiQ85kyD6ejik8faji5M3SdB2+ZbELjU5qfOSNmXjaqB3El9CNH2n3hjOfaNu4fDAXSF/+FRXtXen9s64PqUib2xqnmoP17avRTLOp+XltBFvbKP83htSWWw05y0oIwkPelOmmnY59g2rh+s16baMWcGREfRxdO2oPMVFwL/Es17MEUGylZ9WWzEg29DMo5MTUyRh1PXPj0N/n/zaE2vLiQ85kso+Zbmok9KnihPfSdC3ZLw3mJdilXjPTC+Xl2bR6wxWf1ff0B2sIj+Lp7upIzcC96sQ2j8MljC9O3kvRmL9t41rxGKq4OrslznpCo6lX8XmUJE1vityI0Khz5e9hgLvciNCUJKvsfbckPcU9NCXbB9hm55r6mP+v2NqTqi1nYGriJ5g6+WfD+6aYPlaacaXo+pYNy9LYpjrkzPkdRh01W742B0Z9X5q+Z1WA5qH6kBgZFb0ii38fKI4z7r03aG4RPlvAiXGeVPKaQbJ2mFfdiOMrNze+XvdA32fVhamuMKu53ITQlMU+xPHudNQY1t4XIGs7/au74LP6ob5M8T3j/f7IYiovffW6I/DaEBqrp5yRxeHvGyFz8iR0n+ZQgNxd/lRzqEr/HTnaI541Rz0X3FhAW+f6jNBNlVkQmnx+C66DY/VAEoz9abWF5LDJ1xlHz/GcUnfyAo6Ofhd5wx84rh6rlKTMDaLtxy68N/G01nF/xo5J0zlsPNHxHNZWcHQ078ob8oOmIJQpcwlq+zEu701E51c+2zGJ6bqCcnfhX82Bqv13kKM+4lp71HXBDRa0dab+iD+K0ULFjbiOuDm64tkxkIlz15Fw5jY5goCg84vVTkQkzawRmgBrhEZMW5PBvxqDms+eAHdkn0SSYkS6hPtL8XaqQt/txqBpZpflNQdjKmIPAe4yPolM0RMKcXXu/lJvnKr0xSBCSUbqOa5kiAxDRd6T26Qei+AzmRM9zKa+RYf9LSsOuw4w1dU5JoRGdW8f249pV2dUd9jcsw7yBoPZa3Ssq832qCvE4rMEx1G9QiOn5uBfTY7OzN8TgLu8NXN1y2VlsguNUhp8rMSEq26zsK0Mx4a62etywlyZQeq5K2iaLo8nt1M5FvEZMqceZqsWZbMRm9uoSGcrl13+1XCo2p8dObqj5cXPAm4saItz/RHaVhUJzVvIGxv6rr65VTeI6+iGo6snHQMnMnddAmdu5yCIfU+fqOiLoh04MU9x+MgNs6DqpLZiXoJdWlVVSeL0j5DJ2rDgpo7xaxIqnj4hR/2oNOOwOGFS9Pgibz1Xu1ps27hWPIYqrs4pPaERiYI1QhNQGkJTDn23+LrZah+22rnVxkd0jDu6OeLq2ZHAiXNZl3CG2zniu8XIwovsY2rjtHksL7K+ZcKydLZZOkIjdlNb+551fNVPbXwf5P8WTB3H6gRaOjvkbPLF2dGT8WpnR8nFyE+s9llUacxtbUxoymYfYhjpxVOJZIlhZ1v8cHczmoAWK1fwBxOGxxdTeemr1x2B15zQQOG5KXzoaIfs0yguKgXu/NgOuX1Vvhi1kMWLF5v+Ld3AsXTti9Sc0Ah31SFGDvUM4QEG41Cws78b9s7d2agN2RJXZBrL3+b7I/nq3yiImbyOC2u64dZwDMcKQMjYysTIo2X/wSlxRaaxnLe/P0I+SpJiJrPuwhq6uTVkjKYgtk6MRDcJJNz5kXZye6p+MYqF5vVfvJQNx9IN1bJ2JTzm+I9BtGtYFZldBSrYyfFoP4Xf9TFcOifCygpNkYTGtrRqQiN3oc82K4TGyiynpVOgITRylz4Yiyi8/ydx4wbSf9BIpi1Yx7at42gpc8LXGqFx/pz5Zs6WDiZzQqN7Ls4sXVncAfeKHzH+L8OKjkiwbLZHgzCzqxIcR+0LrP7wP0xsTUNoWhGjJTRltgvxfaImfFYIDQq293XFzvkbNuj6R7lgXsj9P+MYN7A/g0ZOY8G6bWwd1xKZk691QvNcNlKKNirK2RLu8GM7OfZVv2DUQrMxZ/Film44pm1TDaFx/nw+1kxMeHycH4Pa0bCqDLsKFbCTe9B+yu+G8EkzyzC+LdKBUyfSOqw24WMr5iXYpbFy+mutnTh9w0bdopv+O+1FKcdhDaGxYXyxYVwrHsN/j9CUR98tvm422ofNdm7eqLp7gcfHfySoXUOqyuyoUMEOuUd7pvxuNPNfVB/TirB1LC+qvmXCspS2WWpCg619T4enlU+b3gcCdxd/idyhniFs3EiUYmd/3Oyd6a52dhTs6OeKnZNhbNcnNSc0ZbYPrWThCRt9XXHrsVEbQq15rrq9nKmLX48fJtVjKF2UCoHXntAI6XF4yytgX30Q+/Iha3MPKttXI2CP8YqAFczMCQ2ZxH9dEQfzlQB1VgVb/d7Avqo/u3VileeZ2kRO3ZADZJ2dTdj/HqPK2IxftXcY8UcejzZNYIZmOcdK4aV5pOT81CbI64ZwIOsss8P+x2NVBpv9qvHOiD/Ie7SJCTNOGcK5sjbTo7I91QL2mMzY21aiijspF8lUT5gJ5D28xJENYXSu50StAbv0IopyInZbDTmzfTXnRRAa5fW19KjrhtekP3mimwjMWEMXp6IITVtib5nOHusqXhShyTsbSQuXKnwWnajdK6UkKX69egXNZnvUFWLxae44KkndvYsLuqgvm15giB2jDHahUapoQvOM9d2csa8WgNjtygdzJdfX9qCumxeT/nyiX6XIWNMFp3IlNKUYM8ydLWUqu3ddoJAsNveorK+/RRPqH2gJTdtYLExMdYeUi5maegp5PLx0hA1hnannVIsBu4xJsl6YyYW5A6dM3c0ug5Goj+UteaWgNJiXYJcm2uluCjgY6oGDvAPLjCZIdN9qPks3Dhc1FokrwIbwV9vGteIxtI3Q2Ib7bptCzvSyyqHvFl83GwmNzXZu2qK6O9WdFC5qXi4IeQ+5dGQDYZ3r4VRrAHoTL7KPlW5cKbK+ZcKydLZZOkJTmr6nQ9TKp43vg8z4r6noYB45oZGn2OrHG/ZV8Vc7O7o+24mVRpEH6pTmhKaM9qGvTc42+lZ9g86rDOFmYnTFndXhLNVFHOgTSxf/JQRee0LzbNcAatnb4dJpBfcEEO6vpqurDK9ZV4xCkTRNXpCSwH7dcWgWhEbFraUdqCzuOxBjOI3/KS8S+YkMd7/NGPq0kpTIT5DX9idi6lS2PRUzPOOXvjWoF7yBuPHRnNM5ncayCnPIVpjJN/7eyrUyJZJP5LXxj5jKVE1BPPulLzXqBbMhbjzRxgUJ91nd1RWZ1yyuGIVzqcUWpJCw/5qVEnSPctjUrwerzZwNxR8jaOQVqUuEKjWa5k5mszvCY/WPbBkfCiBmsM3h0Iguf0JTwKGhHjjWGMgew759hPtL8JZrCE3h2UX8qA1DVDvszqUjNELmIUa+58ybXZYbnbSXyaYfpnC8sBT2qEfX/KKAAyEeODWfxRU1zyrgcEQEv+mJtXjKmZySVmgok11odNIQGvN9IkDurwzxcOTNPlvJEMoJ84JDDPVwpMbAPUYHAAjcX+KNXE1oCjm76EftZmtbHTKxHpareDaPGQUHCPFwovmsK5rN3AWHiYj4jXxR5uquuMq8mGXZ6UhJ2K9t1GIITc4m+vVYbbYao+CPEY3wikw2NwqL+4IDIXg4NWeWxkgoOBxBhMFIbCM0pcK8BLu00FDzIGt3ALUcazN4v/FeIfG7fFJ+PaAOCy3NOGzb+GLbuFY8htYJTUl5UqOb42S26i88XkVnZ+NDATTYFCmrPPpuediHzXZuvfFzNvWjx2qj1RgxmeIPRjTyIlJ3cmSRfayU40pR9S0TlqXzEUpFaErV96zjq35qI6FR3VpKh8ri/rn7+skijVRtiJm7H5u1zs6znf7UlHkyQRfjritedZ2YVsYhZ7aOgzoB1j+Vl6L41Pk9JhkfDVtwjtjIn4z2y2ryFmZnkWd9/tG6cOnpK43Aq09ofg+mjoOMNgtuGp3ao2mT/LStBHrKcajegdgLOg8vn8Q5bXF/N5j9+iP/gMKrxIWEcUh3ypfyMjO9nHhnlFFYWN4ZIltWxyv8nGGTIgKZB4fhWcObhRdNGYoqdTYt5XI8Aneim0PN3jOQ2lXr0HFWsgWhEk+kmtWiEo61e7LZnDQVZ2aqVGa3lCP3CGSnoSAG1q5KnY6zNMeIGuXPT5xDW/d3Cd5v/Iv2hVyNCyFMD4BRBv1lDht93Wgx44JJ+FLewWF4BezQp+LZFvzcqvHdToNTorq+it4NqiBXh/4ZkioTp9FE7kHIQeONkQp29HdDpnfSNenFcIAv5JXp9bNpyFnitCbIPUIwFbGD/m4yg3OpFiGGD32BvHIvNCIU7Al4E8dag0jQExoVtzcF8YF7Rbque0b+oRnMOKzRreBgKB5OnzHP+KQpQ1VQXp6Jl9O7jDmmtQMhnW3+9ZHX7cdWo/ZU3V7Dt13nck090Npoj0blmF6KjlQrnOsO5ZBo4sJD1k+P5bKOrCoTmdZEjkfIQZM2U+zoj5u8BbOvGkb757cLjUZqQuPoRvt5xodGKEie2w63Gp1ZlioqVU6YK/YQ8KYjtQYlGAiN6jabgj7AvWJX1j3L59CMGWiaTsnz24hYNxvbSJwEaeVM3aGH1KufwsP1TI+9rOnn+YnMaevOu8H7TcIkCq/GERJ2SNukmtlOp8/mmZz0pP4yZyO+bi2YccG4n+RxcJgXATt0nV4rxsqHuHrYyln8VXK1kfBw/XRiDUZSDD5yWsy+qhlbS4V5CXZpRUf1I+U1VvjUwL3jEq4aDaeq2+sYMfl3Ta5SjMPFjS/yFrPRmL9t41pJGF6e6YXTu2PQdX9R2eLzwLMtfrhV+w7DUKni+qreNKgi59OoiybviOJklbXvFidb3GNVdP8xsg+xwjbZuaYZzf/P2eiLW4sZmJr4QYZ5BaA38SL7WOnGleLqWyYsS2Gbog4tnYz27ZoDYnxfqr5nnNHs2ub3QR5nIltS3Succ4bXOELmQYZ51sB74UVD1IcylbhONXgrcLchykEMQb44ny9dHXDrt8NwimsZ7ENXE+HBSjq5NDYiUPkkr5jOqovGYyMoU+bQurIjNXtvsSA6OlnS5+uFwCtLaArPryC0vx8d3nPDvoIdld79kp79v+O778S/fvh1bcMHDT/EOzCafTd0ZEbbeEImZ5YOxLtDABErfuKXDQsJGzGBdRc0Xm3+iYUM6vUFDau64PpWK74dOIsDWvIjPDlO7IAudA8JZ8n6NcwbPwAfn2BWnbfiVKjSiG33DkH79N4y5P1G8DutmKV3JowMSnWVpV3q8Ga9Rgz6qaggcqP0+ksVabHteCdon8G5I4/fgt+h1SytQ6VPK14IZJ5ZykDvDgRErOCnXzawMGwEE9ZdMMpvkkF7k8smv0Z0CR3D2Oh4Eg4dYNfaKIL9J7JL8+My2nR5nF/4Dc28x7A24SB7N8YyfeYW1g99GwfHN/nIZwA/nnrG0QWB+LVpgJtLFeo292VAxB7u3txOmH83mtWpgkvVRrTrFcTiU7n8vSyYPt6NqeZShdof+9B/wk+Qd5QFgX60aeCGS5W6NPcdQMSeu9zcHoZ/t2bUqeJC1Ubt6BW0mFO5f7MsuA/ejavhUqU2H/v0Z8JPaRRe20Jo63do2mcOP+3fx5YlM4nZdoHjMz/D40NfQn6I43T2I/ZHBeDbvB5VXKrSsG1P/IMWcFQ/0OdzYuEgen3RkKourrzVyo9ha5JRzzY7yKj/1QjCpkxhStgkfgj2o0UdJ5y/jueZDuIS7FGXrKhPIfMo09t60m7MSuIXTCB8x121A5p3dAGBfm1o4OZClbrN8R0QwZ67N9ke5k+3ZnWo4uKOZ7teBC3WhSQ+r11oNNOs0HzIoMhwxkfFsXX3zywZ242W7YcRn2Kw5/LBvJBrW0Jp/U5T+sz5if37trBkZgzbLhxn5mcefOgbwg9xp8kpBxtR186mNhLIPDqdtr5SVcoAACAASURBVJ7tGLMyngUTwtlx10AYhcwzLB3oTYeACFb89AsbFoYxYsI6xGFHeLSfqABfmtcT7b4hbXv6E7TgqGHiJHcTfo26EDpmLNHxCRw6sIu1UcH4T9yl/V2noqxD+1zI5Oj0tni2G8PK+AVMCN+BWjUb8HH31PahQhsx1xdp3S5L0BSyk1g9pC2ffDWcefFb2bJsJuMmLueM0RBb8jicV/L44u6pHV8ybRvXisIw/wQLB/Xii4ZVcXF9i1Z+w1ijW1EoKo8OhLzzLPymGd5j1pJwcC8bY6czc8t6hr7tgOObH+Ez4EftQTPisF1EG6plla3vFim7VPahqVRxdq6rtrXP3E1+NOoSypix0cQnHOLArrVEBfszcZf293h09Syij9k0ruiGoReIZcm2WcipRYPo1a4RVau4qd8XAwdHsPueYaywxKd0fc8yv/i6LOX7QHjC8dgBdOkeQviS9ayZN54BPj4Erzqvn6DVl5N1jhVBX+ETPIM1O3YSHxvB5BmxDPeSYVfpbdr4TeAXbRzt89qHviyyORvTBa9vItiSsIu1c8KJ/e2uCfkX06qur+TrOm54DkvgaemCXgxFSVevFAKvLKEpH5QLyEi7wPnL6eSW1uALMkhLvsjtZ0bTiFaUUjxI56nJOCWQmf7A4KhYyaM8P4tw/VG0VhJYe6R4QLppQQiZ6TzQO93WMkFBRhoXzl8m3SYABJ49fqKe6Vc+u0XS6dMkpWnurUlXZt3h4t9nSbzxlEIEsm6nkJx6i/SnuRSWFm9rBZTbMxXZ9y5z/u9kbj/TLW2oyM3QnaxUbgWVIKgM9ijkcv9SIpcfGK9elVBcMV+Xzi40gjSERnMogJD7gNQLF7mTpcPTvLBywlyVzb3L5/k7+TaGpssl40mOxYqtuQbPd19yGwm597mUeJkim0IcOy6c53J6rlk4RzEaCc94/EScgVTy7FYSp08nkaa+LyaPxVcCufcvkXj5gWHG1CKNDQ9Kg3lZ7LLwKTcunOfSveyi29LGcbj4WpVmXHseDEvKoyTrzkX+PpvIjadiHGoWt1OSSb2VztNcceQ0/leSrNKO6aWTbZy6xOtS2rnw7DEaE3/GraTTnE5K09xbKajoPlaaceVFYikuUdjmI1ipXtGPStP3ipZSym/EMS+Zi7efGVZlipJQ8ITrSUlceyS+h/JJv5LE5bS7PM7Kt+zDpbQP8yILnlwnMfFakTZinl66f/0R+I8TmpexgQXS14Xzo0Ws/cuoq6SThIABAWNCY3gqXUkISAhICEgISAhICEgIvFgEJELzYvEtvfS8M8yP2KL9wbfSZ5dySAj8WwiIv11QW/Yek84Uv2r5b+knlSshICEgISAhICEgIfB6IiARmpeqXVVc27rEbD/KS6WgpIyEgCUCwiN+nRVET+/mNG3alJad+jJk4bES9mNZipGeSAhICEgISAhICEgISAg8DwISoXke1KQ8EgISAhICEgISAhICEgISAhICEgIvBQISoXkpmkFSQkJAQkBCQEJAQkBCQEJAQkBCQELgeRCQCM3zoCblkRCQEJAQkBCQEJAQkBCQEJAQkBB4KRCQCM1L0QySEhICEgISAhICEgISAhICEgISAhICz4OARGieBzUpj4SAhICEgISAhICEgISAhICEgITAS4GARGheimaQlJAQkBCQEJAQkBCQEJAQkBCQEJAQeB4EJELzPKhJeSQEJAQkBCQEJAQkBCQEJAQkBCQEXgoEJELzUjSDpISEgISAhICEgISAhICEgISAhICEwPMgIBGa50HtH8+j4v7+2czceQdVacoWHnNw/gy233xZfrm9gLtH4hg7MIDvw2YSfzoToTT1kdJKCLwSCAg8OraSaaOD6Oc/jhXHH6B8JfSWlJQQkBCQEJAQkBB4NRGQCI1xu2X+Rvi3PnRs35bWzZvTd8X10hEIY1nleJ11dDp9x/7K4+fw/oWnh5jgN4b9z5O5HOsAAulb+1PvTW/mXcgtV8mSMAmBlxMBgcyjE/jEtRHDf39WvioW/M3qcaMYNcqGvzHh/Hy1fClV3l8x9Pftgneb1vRacvkVIGxKkleH4Ne1I1+07kD4XwXl2x6SNAmBfxQByZ7/Ubilwl4JBCRCY9xM+bc4uWMpAzwdqVBBxqdRl/71F7WQuY/QDiM5WAZ/SHE2HJ8BW3jwHITIGJ6yXWex4ZuKOHdbTxmqUjYVXsncuaSnJnPhQjLXHipeyRrYorQglL9xvgiZttTFJI1wj8VfOlFz8K/km3xR1pt8nj26z41j4bR2ssPhrcFsv/GAR48eqf8ept/h+oW/+GVuAB+7VaLH5uyyFmiaXygk+9Zm+taW8+GUc//6OGmqnPU7QZnHg8Nj+EBWncCE8m0N6yUanhbcT+NOnuH+hVwV3CfthRfyQjR/ZYX+I+1aBDr/pj0XoZL0WELgX0VAIjQW8GexvpvTS0JoFJwO+5xvVpYy1My8TkIGv/i3ZOhv/yaVyGBNFydcev/CK+OWl7+Pbd4yJd4rL0TQTGZHhQoVkH0axcXynWgvsfx/IkH2byNpXOVNuiy/UW4roi9C5vNhkcHqLk5U6bPtxdi9Ygf93OyQfRzOBau2IXB/vR+dZ18pN2z1OCiTifjY+ZUhNKLewpNVdHb+pwmNkktzhjMvtVQBw3qYbb1QXprD8Hmp5d/Otirwn0v3z7RrcbD+O/ZcnEbSdxIC/x4CEqGxwD6L+K9fEkKT+Qv9PPvxS6aFkqV+kHcglPe7reJ+qZ30Qh7+vYNlsyYQ3LsLX7ZtQ5s24l9b2vsv55JVJ8qaelpC86IcO2tFluFZwZGRvOP2NeselRqwMpRqPasyP5MDw99G/uEUztmMt3VZL+PTvGORtGv0AQFb7pXbnqoXIfP5sHvBdq/YQf9iCQ2QtYXvxx6k3IOslMlENnu1CA3/BqERHrHerwOzXyihEXi03o8OsyVC83z99Dly/SPtWoJe/4Y9l6CS9LWEwL+FgERoLJB/WQiNwOMNvnh8u4ly4DOQu4eB9drz461SzBJmJbJiQAs+6Tqa2P/t58Slu2RkZ5Ot/sshr6A0zv4Lduws2rFsD/J3+1NV3pbY0uBVtiKLyV3IsdENXltCU0zFX4OvXrDdF0FoCs9tZGOi9jAQ5QXmRv5UPuOIcYtIhMYYjSKvFUkzaOXagugXSWgUScxo5UqLaInQFNkQ5fzFP9KuJeksEZqSEJK+/w8h8MoSmoJj4XzxfkPerlub6rW+Zd3tRNaEfE17L0/e8erN/BNGJ2jlprJrRiAdmn3AJ23a07ZFExo3aUPvyRs5/9TcKS+a0AiZSWwO683n7zXkveZtaPNpYzy9fBm/OZkcG41GyDjGyqhwxg2byP+u5JN/83eWxcQwPyaciLXnMES657EnoA6fxVg7mEAg4+RaZs8MZ+T3CziWoatDNidj/fGbmGCpjZBOXIdq+G60kR4VXmZpNy/8ll2wuW6WhRo/yWB1ZydcSrNCk3+Lw8vDCPq2M1+2+Zz2Pn0YPmcfN8ynmoVnpGyby9hAXzp3+47vo+I59dCwlKFI2sCk4aGEhn5P1O5U0g7FMXlIb77tFcj45cfQJxWecXL5WIaFhhDcxRMnhzp8/l0IISHiXyjDxq3gVJZxnTTXOal7WRQWQu/O3nTsMZjwTefQN4kiiQ2ThhMaGsr3UbtJTTtE3OQh9P62F4Hjl3NMX7iRXCGLS7sXM234d/T+bhgR64+xa2QRhCYnlb2Lwgjp3Rnvjj0YHL6Jc/rCQXn1Z6aNCFXXIXTYRDZcyEf5+Cw/zQ9jaL9v8Rs4mc0p5XBIQ0EymyYPZ9gPS9i9fzkTBvYjaOpWLj69xq6ZofTrHcz8I48MKzCqu+yfPZKhoRp8Q4eOZYUFuAqSNkxieGgood9HsTs1jUNxkxnS+1t6BY5n+bGHpns3bJJpjHM52Y2RSMvLp5pQy9LYvaWQop9YJTQCD9cMYuRv1veJ5F/fx+KZM5g1Zw7RU4YxJGwLFw0Dj1FZCtIS5vB96CgmT51OxLQpTFuYQJpOrJ7Q/E1GynYWz53P3KhRDAoKZ/tVWwJL8zi+cBC9e/jQof0Q4m9lkrJjEXNiYogaNYig8O1YiskldedsJk2OJHp2NFHhE5k8/1du6nQy0h6yubwrlvDI2cybM4PIGcv5PTGOTlZCzlQPjxE3bgSToucxe/pIgobGcPCeYQwxEWt8o0rn8NIoohctZ+WKZSxbtoSYEd0ZvVsByuvsigygRQ1H7Bxq0qpvsKYfjllLkv7gyXyu71vMzBmzmDMnminDhhC25aLRewCEx78xc2Avunf2xnvS72Re3UVsxDgCew1lbcr/4/quSAJa1MDRzoGarfoSLI5XoWNYqy9ERfrhpURFL2L5yhUsW7aMJTEj6D56tw1hkCXrJ8KhSj/M0qhoFi1fyYply1i2JIYR3UcjwlDSP9vtsRhJijQS5nxP6KjJTJ0ewbQp01iYkGa6by03lZ2zJzE5MprZ0VGET5zM/F9vGtLkHWfhoN708OlA+yHx3MpMYceiOcTERDFqUBDh269q8LKpXaFYm7K1LJMql489F29PNjSYiU7SjYTAy4PAK0toyE3nyskF+LjZU0HehgFBPfjh9zscGFoXhwp2yL9cxF0BhGd/Ma2lGw6VWxB2NEPvUOUkL6JLdQcqNh7CDpM4LOuERnj8K6M+qoy93JOBW29owzdySJz9Ba4O1em6Ms2G2OUCTs+awMYHhVye6UWVZt0JnbqTOwUP2dqvDjK3fuzQjSfKJKZ/XIMBVt4IqtubmDTzCM9U91jSvjKt52pJj+oOa7q54+DWz4qFFXBo6Fs0HH3UhtATFbeWd6P1uKPlRGbE4PV0lno74dZ/pw0vUfElfpAJzd2QVf2AbkPGMz0ykrE+b+NoV4VePxs54EI6u0Lep5KTB637jWTiD4Po2LAy8no9WJ2q8RpyzyxjeIAfLWs74OjmjptzbVr4BTMssD1vOVemzbwrGsdYyODI/BAG+H9Hv/YNkDvUxOvb7/juO/HPn4DQWP7K1JFHEWKB9D3DaVJZxpuf+DFs0hTG+rfBw7kijYcmoI5Wyz3DsuEB+LWsjYOjG+5uztRu4UfwsEDav+VM5TbzuGLsN6lusXWgJxVlb/JR14GEDO7BpzWdcHKSITMLORPS9zC8SWVkb36C37BJTBnrTxsPZyo2HkqCNlROeTGe0YH+fNevPQ3kMpr2C6VdDTlunt70HeJLk0r2uPT6mTLvV1acY+XQjjR0tsPOsSbNe/WmdS1n3qzhjqtnF/p1boTL2yM4oiOjqlvsmDZYjfV3/TvRuLKMptOTTAkKuZxZNpwAv5bUdnDEzd0N59ot8AseRmD7t3Cu3IZ5xuDZJFPbNcrTbqz0NsOjbDZ848wb3/4PI6s1fF3WKy2hcajvR3T8RjZuXM/KeT/Q6e16BFsjNIq/+MHrcyYe0pHLXE6FNcO9WRjHTRRUkLSgA7UbBrL9rtZACy6y/JsGfDTplEZrLaFp3Hss0xaf1JJ4BSfHv0+lZhEkGtt1EfVUKjK5Ht+bWk6fEhwVxdKT2jFacZLx71eiWUSikU1kcyKyLR/13YThJHoFFxd35YNOsSTpxk6xLNUdfhn8ER/028A1HdnJTWZNSHNqOpruoRHSdzLYsy7d19zSliVwb6Mf9ZuM40+rRE9XGRXXF3XBJ9Z47M/j1EQvem4We5SKwvx8svYOopbci6jkXBQKBYr8Qv27QvHXD3h9PpFDutDW3FOENXOnWdhxI3tRkvckhYVfVaHiV8OJnrmHO7cW86XckcYTTqMqzCc/ay+DasnxikomVyxDkU+hdjFedX0RXXxiSTNanM87NRGvnptL7Pc26ae6zqIuPsSaFsBEr56oYdDBZe3TZnu0lln7TJHEgg61aRi4HYOpLuebBh8x6ZSWOWafILLtR/TddBM9l1RcZHHXD+gUm6R9JylRZF4nvnctnD4NJipqKSe1k0OKk+N5v1IzItRGXXK7lmxTtpalrWO52nPx9lQM0tJXEgIvNQJlJjRr1qznef7KBZWCI4x4y4EKdnLqBGznGQKP9ofxlVdr+i9PpoB8ToxrjMzODpce5qFb+RweVg+HCvbU/m6HYUYda4Qml8PD31ETpYqdV/LQ2KfN20dQLXscRGdN9+IsqnIFfxE+fitPhXx+D66DrNFIjohLO0ImR2JC+WHVWZ7pZOfvZkD195hwWj/8aqUWcjpqDGtFEpa1nf7VXfBZ/VBP1FQ3fsT7/ZFWNFByMepTXHtsLpmkqK4x17sLS0VGWE7/hMe/0K+2Gx3jbupf5kWKFp6ye6AHsrq92Wi0HKO6s585YQs4eF/3ZhZ48ks/asreZfCeBwa5WWeI/NwVl/Y/cl2fNJ04bzl2soYEJ+icuWy29a2KvPVck5e9qJctIWfCg834VZfxtv9W7uidNxW31nanhsyTcSd13rtAepw3cjsZDYO1RAfI3taXqvLWzNU7Aipur+yCm1Njgnfe0b94lbfi8avlgKMxoREesNmvOrK3/dlqKBzVrbV0ryHDc9xJU3jzd+Nf1Z4KdpX5ZMx+7qv1LeDeiQSOpJl4sqb5SnOXn0BgdRkNhh8mh0LOTnofWZVOLL+jgsx1dHNpzVx9gxgJLviTkW/L+ciC0GjSCOlxeMvtkDUM1hM1srfRt6qc1nONnUlbZb44uzHSQHspbhxuReV6A9n1Io5O1xIaxwb+LN/3K7/u38MvayLxa/y2VUIjpC/nq4r2uPb+WT8OqNLm0tqpJoP3GwYw5eXZtHrDFZ/Vhn1NwqN4urs6UjNwr6ZuakIjQ/bxdHTRbeIXim19qOLkzdJ028YPZXIEH8sq4hWZqLd5ULCtTxWcvJeiE6M4Po733mhuGbpVcIJxnpXwmpGsza/iRtxXuIl74MyOdlRdmUVzuTGhySIhyAN50+kk6fuwWIl9DKrlyjfrH1k2qf6Jgq09q9JyRrIJMSg8MZXJPxumCPJ/G0JtubWQM4H05V9R0d6V3j/r1vhVpM1tjVPNwRg1B1DAkRH1cXTtSNwNcVBTcC/xLNeztBjn/8aQ2nKrIWeKrT2p2nIGyQaVoPAEUyeXNJFho36KrfSs2pIZpgVwYupkjGDQo2Z8Yas9GucxvVZyeXYr3nD1YfU9nb0JPIrvjqtjTQL3imObguPj3uON5tGYR/0VnBiHZyUvZiTr3rNKkiM+RlbRi0hTo6ZPFSe8l6br37VFt6utNmVrWS/CnkuwJ1OQpTsJgVcCgdeD0FSQ02nVE/1Ao0e+4Cij3nGgQgUH3h75l9nKhIrU2S2QVaiAnVtvftbPxFkhNAWHGFpXI6fe8D9M5ahuMv9zGRVkVl60ekW0F3kpnL6QDcrzTP3QST27phtGzZOSs5HulT8h0uJYqzwunkokC4GMLX64u33Det3sniik4A8mDI+3ECfOFt5c0IbK3nF6B8FKIs2j/F0EvNeFsBWrWLWqqL/VrNtxjie6d0gRwvJun2Hf+igCvNvSc8YB9FykiPTiY+HxOrpVrsiXi24bSIq19MIT1n9dmco+qy2OpM7dP5g6Ts2ZdUXLaMSQO285si8WcltHcijg6Kh3rO5NKZnQCNxb6k3Fyp1YYbLCp3GGgmrK+TjiglZrLaGRfcFCQ+EUHB3FO/IPmaLb6a+6ztzWcqr6bTEi2KKIAg4E1zHRU7i3FO+Klem04r6Z3SvYF1QT+ccRpohpCY2syRT+1vEs0xRlvxMJTc3aDP5VdIxVpEY3p5J2pRTFdvq6f0pkirHXqC3SJkIj44uFRvag7tvFHBlcnMwXaDdWQVTeYd+07nzmHUT0pt9JSi/HBigi5OxJfDCjjVdoFBk8yRE7q5KM1HNcyRA7gYq8J7dJPRbBZzIneuin05UkTv8ImawNC27qO4u6aoqnT8jRPVITGrnFkdT5ewJwF4m6NfJqBSBlciTN5DW1dqNLkM+eAHf1ZINGTD6/BdfBsXoglicu57DJ1xlHz/GoJ+SVF4n8RIaszQLM1EdN3owJTe4u/Ks5ULX/DnKUSpS6v4IbLGjrTP0Rf+gUsvIpOpodcXN0xbNjIBPnriPhzG1yBAHjU8iLdnzF5sgg9dwVNM2Rx5PbqRyL+AyZUw+z1Q3RAX0LeeOJWMxxiZoVQ2hUN+Lo6OaIq2dHAifOZV3CGW7niDqWMHiLcm3RT3WDuI5uOLp60jFwInPXJXDmdo5afskl2GKPVqDXPVImMv0ja22t4OmTHM37I/83gus4Uj0wwRBepsufswlfZ0c8x5/SkmElyZHNkNccjHoY06XL30OAuziBYggBL7JdbbYpG8t6IfZcgj3p6i19Sgi8Qgi8HoTG3p2APYbZRT3+uZvpUVE88taRRuNOGs3+iSk0Dr5IaCrIjF++VghN7mZ8nUU59rh4euPn52fx17PfNPaaLN3otbC4UN3+kS+caxCYYBwjYZYsZwPfVGpKuMm0oVEa4QkbfV1x67HRxPlV3V7O1MXXjRLqLlWkzfuMSkYznrpvLD4VOxng2YEx82OJjS3qbyGLN56wIBLmsrLT/uLnxePxa9uegYt0YSnmqUzvC0+Nx1PekB9OFEn3NBmU55jyoRPvjjlu1ragSpvHZ07VGbRPaxdaQlOp189GIW9Fb7YvmdBoyJCDaD9W/xx4Z9Rf2oppCU2lXvxs1OSFx0bTwJjQiC/e2nKaW2zstdRTTYYciiq7Ag7vjDIFVU1oZLw38YwFVqYJy3AnEpraHzD5rNhuIqFpQRW/nzR4l5nQVKKXKXiMbvCchOYF2o1V9JT3OTirL+07DGD6ih2cuGVkBFYzlOKhVUIDyou72GV0BGH2tsmEH9UQqcL7fxI3biD9B41k2oJ1bNs6jpYyJ3z1hEbB9r6u2Dl9w0bdwoE1lbSEpr7ZJI+G0LQiplSEpj7D/zAmelpC0ypGs8oq3GXxl3Ic6g3HJJlaLwU7+7th79ydjeLElHiUtasdTt9sMNmLIiY1JzTCnR9pJ7en6hejWLh4MYtN/pay4Vi6tZobngmPOf5jEO0aVkVmV0EdLeDRfgq/G60MFen4qqUUcv/POMYN7M+gkdNYsG4bW8e1RObka5XQOH8+34KkqcUUQ2jE0NjHx38kqF1DqqqPgLdD7tGeKb8/MJsMMVTLcGWbfsLj4/wY1I6GVWXYiZOEcg/aT/m9xPeDWE7J9mjQxuJKHFfUbb1Rv+Jonka4K4bnOWAxGSkmVOykv5s9zt03am1FSzLqm9mZltC0MtrTWlS72m5TNpb1QuxZQ2iKtCdzEKV7CYFXAIHXhNDUIEjnuBqDnr+PoBr26hWat77/03RlRetwqVdoKvqwRr/UYIXQFBwk1EO7QjPssJkc4wJtu87c/C1VKnVjnb5MK/nyd+H/5ruM1johFilyxJCbN+i8yhBuJjqRd1aHs9SqI6Hk/NQmuPhusnjJW8hWpTK7/des1MV6WCQo/QPlzZX4VKvGN+sMISxFSVGlRtNCXp2APSWEQmlXNNz6/GJRp4Kjo2kge5cxx7SkSEtoKpv8Do4lUdDpZEloBDJTT3D+ro44K7kU9Sky187EHDnFqVOmf6fPJHJLHz+oJTSVe/OLkS9rQWgKTzC2oVwdLmZK5RTsHfimyR4a5aUoPpW50jnmiEXZp06fIfGW2W8OqQmNnDYLbAj504FQ2k81ofmQsL8NhMa13AhNZXqbgvf8hOYF2o0lZEquzPucKm8FsdfosAaTdMocnuVYWbkySVTETRGExjR1Iaemfs+qhwLK62vpUdcNr0l/GlZXM9bQxcmY0BRwMNQDB3kHlhk55qYyxdl78dhmOf8IoSGT+K8r4mA+c65WSsFWvzewr+rPbrF7asdreaeVmEf5mRMasjbTo7I91QL2WM7eW1TY/IGKOykX0WyrE8h7eIkjG8LoXM+JWgN26RObO77K1N3suiD2ESXX1/agrpsXk/40RBhkrOmCU1GEpm0sVg9eNCc0ylR277qgnrxQ3Unhonbvn5D3kEtHNhDWuR5OtQawy8ohJ3rFbdVPdYeUi9pDeIQ8Hl46woawztRzqsWA4guw0R4NGllc6dq6w7KiyVNmPF9XdLBYSVTLUmzF7w17qvrv1ra/jSRDvShmGkqob1ebbcrGsnR1LFd71hKaouzJAmjpgYTAy4/A601oyGTHdzWxr2BHpa/Xk2HSHpoQBvEAgcodlhq9JKwQGnI5EPqW5rCBNgtQhzAbyxLus3PqVLPDBYwTGF9r9s84tZzDNV3ohvHXumsxLK1JDfytHAogJlE7tM7vMUk9G67NVHCO2MifTPf46ORRwOFhb/GuReidPoHRhYq0JT60mXrGaDXD6OvnudQeCuA+wAbHQZlE+MdOuHVcwjVjz154ysGIXgxZfUWrgRga0xS5WyeWGceWCI/Y2qcmsrrB/KbjRKUlNHsH8qb8M+bp9reorjGnpRMeIQf0tVcmRdDMyZW2sxNNYugRHrBnUk+GbkjTprWR0JDLr0M8kNUbzD6jw+iEp7sZ6GG2h0aZREQzJ1zbzibRODYegQd7JtFz6Aa9nuoLLaFpG3ur+DA+CsnJVtgwc2sqXlOGuELzChAaXpzdWKKiGU8q9thstMnbkEo84KPvW07YO71Nv83P8QO6thCa/NOE+YzmSIF4MIgHjjUGYjxXINxfgrdcQ2gKzy7ixz8KyNodQC3H2gzeb2JcohtHyq/aPvCPEhoVt5Z2oLK4N8c8xFMbkuPut1lLYJ6x078mMs8JFuFZqusxtDIOORPus7qrKzKvWaaHc4hNVJBCwv5rhsayuMphU78erDYjfYo/RtDIK1KfuuBACB5G4a8FhyOIEMMBxVBmD0dqDNxjZBsC95d4I1cTmkLOLvpRuyJVggNacIAQDyeaz9L+gGrBYSIiflM76Tmb+tFjtdlqjOIPRjTyIjK5GCJtq37/t4l+PczDfhX8MaIR7Hg9KQAAIABJREFUXpHJehwsL2y3R8u8uidZ7A6ohWPtwViaagq/HrgBqlss7VBZvR/L0nQi+UTmjt/mx9oxz0aSIZpHUe1qs03ZWtaLsOcS7ElcOcvOIq84H0XXBNKnhMBLgsBrTmhAdXMDPevJsKvUgulGx8Lmpy7D50177N2/ZG6i0bS51UMBQHiwl9D3KmLnUI/eG64bZvNUGZyc2xnPtnO4YBwxUVQDF2rCpMRN28a+umXyHLb3q8lnRjG7xmmEByvp5NLY6NCAfJJXTGfVxSKUEB6x4it3vok3pXXGMk2u8y8wv1NLAjYb1dUkQWlvNL/HUaWvLb+YLpB56AeavCHHw3sca37/m9TrSeyb/TX1ZG/iG39PX7jwZB8hjZyo2Kg3c3efIeX8AVaEeuEmq02P9drViLz7pJzcwzgvGRW9Z/LHmSs8zs/hbtIxlvfxQNZgIOuOnuOmboOtGJpydS6fObvQamICyTdSOb46AE9nN7quMZQNWRyd4oWLrCafDV3M3lOXSbtykv9N+ILqsjr0/0XcUJzH/ZST7BnnhayiNzP/OMOVx/nk3E3i2PI+eMgaMHDdUc7d1EyVqq6vwKe6jOptx7LhzyQuHN3MxC+r42BXAUczPbOOTsHLRUbNz4ayeO8pLqdd4eT/JvBFdRl1+v+iwSj/IZdOH+fYHzF0riLj41HbOXrsGMdPJXPP3FdFSfKsllRyrE3Pzcb11MNdzIWC++cX0q1aAwZuusTj3IccHPUBlb1ncfZONlnXfqSzqyfBP18hQ+1D5XLvwimOHzvGsSNx9Koto2FQPH+Jup2+yANtl8y7n8LJPePwklXEe+YfnLnymPycuyQdW04fDxkNBq7j6LmbaJrONpliJV6U3VgCpP0dGpOVQUOq7E2+VBRDlSrY8YYtB3YYsmquFL/Q28UO2Udmm9p16fJvs2fUJ7h7L+W+oGBPwJs41hpEgo7oo+L2piA+cK9I13XPyD80gxmHC0B5jRU+NXDvuISrRgOV6vY6Rkz+XSNdmci0JnI8Qkx/tFOxoz9u8hbMvmqbN6RMnEYTuQchB43HLgU7+rshbzEbvZi8M0S2rI5X+DmjCQSBzIPD8KzhzcKLBkWVqXF0qvEWgbsNKx/iXrSL87/E1cGNfvrjJCE/cQ5t3d8leL/hFEwo5GpcCGGH9JsrdYgafeaw0deNFjMumKza5x0chlfADn061dU5tHKuy9BD4vKRwMP104m9rATFHgLedKTWoAQDoVHdZlPQB7hX7Mq6Z/kcmjEDsTlE3cVVM6fP5lkcYKIuSHWVOa2cqTv0kPrdJDxcz/TYy+pT23I2+uLWYobp+ynvIMO8AthR3AqNrfr930Z83Voww+QFmMfBYV4EFF+A7faoR9PyQnltBT413Om45KrRO1XF7XUjmPy7poJ5ZyJpWd2L8HNGg56QycFhntTwXojBdJQkTmuC3CMEU3MUf8BWTovZV/UTQkW2q0j7bbIp28sqf3su3p6UKXNoXdmRmr23FDFBatkO0hMJgX8bgVeW0BQcGIHnm1VxrexClSquuNesQy2PALYZcxMtuoV3DzA38Asa1vTgwy860dn7U96qWZ/mvaax/YphgBMersG3VjXcqlTGxaUyLm7u1Ph8Jhe0k1hCxhlWjfShSS13PJq2o1On9jRv8hHtg+M4bfF7NkU0bcZafN6ox9BDVhQ1ySKQvrIztfz+h1nwkDZVNmdjuuD1TQRbEnaxdk44sb/dNTri1EQY5CUQWK8t83UrDmZfW7sVnp4i1s+Lln3DWZtwnJS7WUYvDGs5intW2h8YFHj01wIGfP4u7k722IlHcVdvRp/5xwyhMtriCm8nMM23KbUrOWBn78ybnh0Yufmy3unJ2OxHVUdxD5Rmz4mdrD5DNy+jm5uDOt5bfG5nX4k281KNKpDN2cV9+NDNUV22Q5VGdJ2aYHSamTapkMnfq4bR8YPaVBbLsHOgcv0vGLrugiYMLmMzflVFGdr9LnYy6g/dzLJubmqSotbJzp5Kbebpy84+v5LBn7+Fq8wOO4fKNOg8kXnDP6WivZ2ZngKZf69iWMcPqF1Zq2fl+nwxdB3i2RPiv/x9Q6itjps33W9j5+CGb7zutDdd0SquLetKnWp1aTT4J91D2z6zfqZvNY0OdvKGDI8M4W1RfzsH3LpOZXLbytjb2WHv9AGTThYiPFqPrxH+urZRt4Vjdfx3iJs3MtjsVxVHtcOvcfpl9YeyeVk33Bx07WmHfaU2zEtV2SjTUJ0XYzcG+Zqr4u1eeLiXUV7VcanuxWj96XvmMqzc5x8nNrAv37Z7l8r2FbBzqs/nfv20R4x/x3f9etGjSxver+GMXQUHtaMr+sWF17YQ2vodmvaZw0/797FlyUxitl3g+MzP8PjQl5Af4jit2zeTncTqIW355KvhzIvfypZlMxk3cTlnsiDv6AIC/drQwM2FKnWb4zsggj13b7I9zJ9uzepQxcUdz3a9CFqs22xtpQ7kcXRBIH5tGuDmUoW6zX0ZELGHuze3E+bfjWZ1quDi7km7XkEs1h6/Kzw5TuyALnQPCWfJ+jXMGz8AH59gVp239Myzzq0g6CsfgmesYcfOeGIjJjMjdjheMjsqvd0Gvwm/aFfmBTLPLGWgdwcCIlbw0y8bWBg2ggnrLhiIhjX1yWWTXyO6hI5hbHQ8CYcOsGttFMH+E9klnuyn+ydkcnR6WzzbjWFl/AImhO/grvrrQq5tCaX1O03pM+cn9u/bwpKZMWy7cJyZn3nwoW8IP8SdJvvRfqICfGlerwouVRvStqc/QQuO6sc3TTECmUen09azHWNWxrNgQjg7NIWQu8mPRl1CGTM2mviEQxzYtZaoYH8m7ippRdA2/XJyN+HXqAuhY8YSHZ/AoQO7WBsVjP/EXRjDoIPD+LNU9mic0ew6O2k1Q9p+wlfD5xG/dQvLZo5j4vIzGKxC4MnxWAZ06U5I+BLWr5nH+AE++ASvQm86eUdZEOhHmwZuuFSpS3PfAUTsucvN7WH4d2tGnSouuHu2o1fQYs3hE0W2q6hcCTZV2rKA8rJnwQZ7Ul1fydd13PAcloCtro1Zk0i3EgL/OAJlJjT/uMZlKVDI59nDu9xNzyCvmJX2kosoJPvxPe7cf0JuqeXkcj/tvtnLyHqJwuONfNvwO7YbRmWLhAVPrpOYeI0nxpObFqlAcWgojb+K407Jx86Y5VZw+88NzA0bRv+ubfH6pBnNmol/n9CydxwWh7CZ5TbcFu/YGdJZuSrIJD39KQojH8FKKlBmk5FZAhBWMxbzUJnL4/THNrWzKucR9x+UhfSZ6qHKecLDzHzbwr9UOTy6/4AswyS1qbDS3Kmusijm59LkeLXTvgi70SNSBrvXyyjvCxXZ9y5z/u9kbj/TDWAqcjOMTjAzLrLwKTcunOfSvWz97LTx1//KdUEGackXuf2sZIMXx8ikpGs8EueQ8tO5knSZtLuPycq3HFAKMtK4cP4y6bm2DJQCzx4/Ua/OKJ/dIun0aZLSNPeWmAjk3r9E4uUHlmG8qmzuXT7P38m3MTRHLhm6U7oshRX5RMi9z6XEy/oVTjGh8Oyx5v2gfMatpNOcTkor8X1hUkBJ+gnPeKx+ASl5diuJ06eTSCvphWRaQOns0SSv6U3h0xtcOH+Je9mWbatLKbZx8sXb2GA6uizFfBbTrtpcpbOpYorSyXth9lxy2VIKCYGXGYH/FqF5mVvCqm45/DHSC9+15kfzWk1c9EMhg23+zRmS8NQ257hoSWX45mV07MpQndc4q/DkZ+bE6fYpvcYV/UeqlsHqzk649LEl1PIfUUgq5P+zdx5AVR1v2FfkXrDQ7Io1sSUmRoNdo6LGEiuKNSoo1tgAxS4qChZUxE7sGnvvToyJJWqMjr2OsY4NR4UP4bv3fvee+X1ze2+IRvM/zuA9Z8+e3XeffffdfXbf3SMiICIgIiAiICLwn0NAJDQfeZUKz7fQJziK3/VuINmQV3Yulu87r9C5OWQjgRx5JYP1HfOTv+N6u8dr5kg2YiLviEA6x6ePZ0MOnnD3jgJ92q8LD5nfyIuAnjuM++4+7RKJ0osIiAiICIgIiAh8dAiIhOajqxJLgQRSD0bRZczR7PmyZpxmStfBbP/XB6gCj9eGULxwM+Zf0x99bFlW8f7fRkB1ayPzt5t8wPLfFugTz//t+ek0CChH2A79KUqfeIFE8UUERAREBEQERAQ+QgREQvMRVoq1SArubp7IxK3ONnFavCm84OD0cay57uwAAov33tttJjd3TiWsY2f6RU5m1dk3/6IL3HsrpJjw/zwC6gMtljElZgBdugxh3pH7Zqdg/c/DIwIgIiAiICIgIiAikMMIiIQmhwEVkxMREBEQERAREBEQERAREBEQERAR+HAIiITmw2Et5iQiICIgIiAiICIgIiAiICIgIiAikMMIiIQmhwEVkxMREBEQERAREBEQERAREBEQERAR+HAIiITmw2Et5iQiICIgIiAiICIgIiAiICIgIiAikMMIiIQmhwEVkxMREBEQERAREBEQERAREBEQERAR+HAIiITmw2Et5iQiICIgIiAiICIgIiAiICIgIiAikMMIiIQmhwH9TySnUqIUHJREeM2fSWNZekHuIJKNR8JLjs6ZzPobH/d3aOQPf2NhZG96/TSWaatO89oRFjaK+UGChOccXzqB4eHd6Bm1hBNPlR8kWzGT/zYCSrkMUZP+23Uslu4jRUApRyY2vo+0ckSxPgUE/hOERnb/N5aND6NNwzo0CG5Os+AGBH0TRP3v6tMi9oTZNyCEZ8eYPyKCYbMP80j1nqtI8TcLerXh++BG1K8VRPDEP8xksZu78Ixj80cQMWw2h9+7kCZSCK85ObMHnQfHMr5vKKN2PTV5qL+UcWled3ovv4VCH+TOb9pxJoREsPnh+wbfHaGMcYUnG+leujDBsy7y1hjs8Er2/Dp/HjvGmduvcmQw+Pbede5lOszS+FB4zR+jauBXcTAH3xiD38uVkMrhmYMZNOQnhg4bxjD139CfGDJ4MAkHX2QrS0EuQ+42YRSQy+Tuf8NIcYrEnh1o1fQ76jaP5biOjytOJdKzQyuafleX5rHHXWuj2SqtnZdkJ5nTQy1XQ+q2mMqpbDUsO2k7DVaRenY14/v1YejE6cyeN4cxoQ2p1bAvK/6xaKOCHJn7leVUAnUEIXU/sV3b0TK4AXU7L+CaSwO7bOqBM4neYzmdZf1fe654eZu//jjGyatPea/TWKo77J49mUmTJrn4F8vcffdQIePknB50aNWUhnVbMPXDNj5UqWdZPb4ffYZOZPrsecwZE0rDWg3pu+IfzFvfe9J1beNjf2xX2rUMpkHdzixwrfGRPdv9HjXcot3atusKTiX21NT3d3WbE6vvBJyIlT375CTRT+Sx6uE2YkLb0qJJfer2XI5lt/AxFeMTJzQCr47GUNM/D/m/7s+6S7oBZfoWugZ4kCuXB8X67jcxpDIORJTAI1cucnkUose2jPdbF8JzLuxbQ2Q9H3Ln8qBo+F4TWexnLTsQQQmPXBr5C/XYhqWUijNJ9E88meMDr7dHBvF5pRH8fnsRzX3yUCRsr5WQmSfHENx1NQ/dHoQak5JfnckP7ZO5bW6xjRH+xau01W3J6/0DK10hB4r77IxqS7vhS9l34ne2z42gTecpHH2WDXAEGS/vnGRjXDe+CqhM9J+uj2qFR0k09ipG3/3vdcigqRVBpSDr9Q2SW/njkduPlguu8zpLgSobRVZeS6SRvyeF26Rw30IXVM/ucDfNVqJKriU2wt+zMG1S7lt0+s4UR0CR8YhdEZ8jKdYXA1yCgoxHu4j4XGJhL5yl5/5z2+VSy/WQ7X3LIQnszyE3Fz7dl0L/hsDLA0P4smw7lt3UZ5rGhhBfcktqEnfdpFKU10hs5I9n4TakWFaWPrl3+lUhT7vN8g6FkVQdxzmnhMaRHqh4ducuNtXHmYzvvZzOBHDyXPWMO3fT3CfzhmTfARtDGi5cqJ5waGIHWvefx44/TrA/ZRQhbQaz/sZ7+shz1ha6+BelwZAFbD16mguXr3H96ilmfe9Lbg9/Ws89w9Xr17h84TS/bpnPwDqFKfzjTk1/LCgyeLi9L+UkgfT/cI0P4eUBhnxZlnbLbhr68rQNIfjmllAz7rqJbXOk6y7UhQtRVPI0bi/vQGFJVcY5b3xkz3a7IEh2o9hqt3bsurq+H+2K4HOJO32mu/YpuwX5GN9Tl/0mya38kNSMw7RbcE3aD2RzgE+b0KjuMLuBF7k9ShC+12Q+XXmRaTXzaUiEOaFRcCq6EpLcucidpyyDj77/ASDI+W1IGfK4QWgUp6KpJMlNrtx5KDv4qAUJEngw7zv8QjaQs11DGpu7FMS/y2Yy3l5mY+Jijty3GFQrrzKzyXdMuWQR7ppWm8TK4PCgmnRa8/gdOmaT5HLw8mVKS7x8QtnsFFwFVxIaUC5kLU8N424ld+Y2ofQPy7hrMhZ0Kp7yButGDWDktBS2z2iNn6QSUe7MFL5cTksvX7pscSq0U1FciyDn10GlyJPn3QYAqluLaFnEm5Kd11gQZIEHyQOZcMaWnqm4taglRbxL0nnNw2zoj4r7c7/Dy5TQqAutus/c77zeM6FxXK67s+rh9SEJjfCQ5OD8fD7iuNlqq+zXQZT2siA0qlssalkE75KdWfMusxkOFUzB2ZgqeLlEaBzogfCA5IETsKk+DvNX68GHKKczIew/Fx4kM3DCGbP6sh/bxpN3wcZGcraDlNxKakrp7xeazea+2tmbz76O4vd022+9S6jwbDEhISswn0uSc6h/IHnylGLQr3rCrs1FeLSYtp1SeKnLVHV3FvW83s2euSe/wMPkYPJ/PoLjpmZO9iuDSntZEBoHuu5epg5jK87GUMXLNUKTPdvtMPt3e2iv3dqx66r7c/nO7UlAd+zTuxXn43tbzrGfyuGVHULzQWyOFrFPm9DIf+OnsnnIJalO7GXTKT05vw8rryER5oQGyLrL4eXzWLLvpssuRe+mXGpCU9YtQgNZ3D28nHlL9nHThKdp5FD9w/wm+cib04RGfoyh5bypk3DLZGbIvORvD0RQ6ftFFoNP8ziu3inOjaN6zVjMqs3Vl/XxFM/4a9si4kZFENqyMQ0bNKCB+q9hE3ouvpot9y8toemCU26Qtp2exfzptNG8dxaeLqJp3nL89Fv2yLJsew/83SY0KbT08vnkCI22Gg1sUF+rwFv29GvCGEcjUluvmaRg/1I7IWBFaIQHzHvvhMZRuVTcnV3/wxIaxVlivshL3Zm3zdq8/NhQylkSGh2g2YbdfoWYPFEPGL5wkdA4EOjtHvo1GZM9QuMgWRNB/7XLt3v60WTMOxCaHMDGaeEz9tE3MD+tUl6YTzhkHSQisADBC9xdWXWaI8rL0xk6766ZHqsnE+0RGpTXSBg80zDbrLo7m/oflNBodT1v3ZnmngqaftiS0OjK/34bH2pC84WLhEYrkS2BHNk45/X4rjGsJLJj14UH87JJaNy0T+9aoI/mfTnHhmaT0HwIm6PD6ZMnNEM0hKaGFaH5wx6h+eAKkh1CY0/IDC4ltaZYntw5TmjUDbyRV3EHbktpbOseSJP5D8w7KXuiOgtXnCSychW3XKtMk0w7v4Qfa9Wg9fBE1u87ydWHL0lPT9f+ZWRmY1+GNnVXCY1sbxhFJRWIPGk6vQbI9hJWVELFyJOm4rp8/b9HaKyhkV+fS3DBKox2RGisX3Mx5N8jNI7L9W8SmjtmA0FHhMZFkLMZLRuExionOdfnBlOwyuh3IjRWyX4MAfLrzA0uSJXR2SU0HwYb+aH+BNpy31LdYHpNCd7fL7VYSXl3cOXHJjB2h+UKtQNCQwabRo3nD93Czb9JaO6YruY7IjTvDpPDFNwnNNbJObZx1vHfe4hIaHII4uwSmg9jc/SF/GQJzetNffmyYin8Na5Z3hQuW5GKFY1/pfwlVi5nsn3DqVG5AuVKl6RoscYkXNeu6siPT6LRlxX5rEwgxYpUoFfiaib+2Jz6tb+lUqmSlP+mGX2mbueG5WYWPYoOf42EpkhIAj+P7U7r71vSIrge33wVRKuIBPbeMTHEsn0Mr1GZCuVKU7JoMRonXNesNCgvLaJ7zUDy5lbvrcmFh08JKmjKW4nvJp/KtguC8GQ/M4YMIKL91/h6FqV2lwgGDJrEVkufKfkRBparSsxZiwG8uuzCS079PINpk4by05zjvNRPk6SrN2GHMHqPrcMFMtjcpTC1zHyFHQJpeKi4lswPQSEsupitCjGkY+vi5fIWePk4W6FRcTuhLhJJEFOvmq4MAopTRFX0xKvFMlvJOw3LFqF59XGs0Mj/TCK8S0daN2tCt+QrZNzZz6KEeBKmxxDRayjJJ4wztsqrqxjWPYQ2zZvQJu6kVn/VG3unhlG/hETj9149JIL+/fvTf/BsftUolZKrq4bRPaQNzZu0Ic6MTMq5d3AhcVPjiI+fweShfRm64ATPLaoHXCQ0ysusGTOCyOhRjIoaybCh49igsxeK8yuIGjaCqOhIho90oZ6dlkutFiaE5s0d9i+ZxaxZM4iJ6MXQ5BO80LcpvQYJqZxJiWFw9FRmxccS1S+csRuuWu2300c3/xV4dmAGgyJCqBHgSfG63YlQ46z709gCqYnLmfIqq4Z1J6RNc5q0iUMLu8DLw9PpE6o+zKAJPRed59quBCJ/Gknk0AgGjIxny2V393roCc1Y/ri8iwUJs5kTH8uY6LHM3n4N41qobT1Q3dnN1LD6lJDkxsO/OiER2jINnv2r0SaZA2F+Z7Oc6igqnv2+iClxc1m8dCmLFy1iwdzRdOmzyEXXUlfeF0g9k0LM4GimzoonNqof4WM3cFVj4lTc2T2VsPolkOT2wL96iK6+BjP715cuTTC5ik3WP/uZMzaGydNmMCMulrGjprD2wmuX8tCCqeJeYkMknlVs9BWpLGshJU+ZIRw19wAzr4ccu3NEaMwzMRKaN9zZv4RZs2YxIyaCXkOTOWHd+BzUlXm6tu6EZweYMSiCkBoBeBavS3ednmraX0R7vvaVmric2dZ14eVhpvcJ1Wxub9JzEeev7SIh8idGRg4lYsBI4rdcdnsPmZ7QjP3jMrsWJDB7TjyxY6IZO3s714yNj+zZbltImIQp/ubnyGGMiBpFdNQIhg2LZ9+d4ywcMYyR0dFEjRzOsImbuaUUePnrHIYPG0l0dCQjYlaD3XarHpvYXnl/txUaZ/bJWC4h9QwpMYOJnjqL+Ngo+oWPZYO2URsj2buS/0lS365au9tsPHqvybfHEwnv2pEfmjemZazJQVOqZ/y+aApxcxezdOliFi1awNzRXeiz6K4xBxf7jbd39pM8eRJxMxOIi41l9qa/2O2my9mHsznG4n2yhEbIfMWT+1sJL5WHXB6F6bruHo8fP9b93Wd7P+2+FVOXMyHtEZcPRFNDkotckm+Zoh+Mvn3CjT8Taa05SCA30rKtiN1zV7tHJesGa3pWQKruSGpP4HiaETzXrvSEJhe581clfLXR0Mhur6JzqTx4BDRg6mmdxRDSeHT5ANE1JOTKJeHbKTrXKfkbnj35h5Uh/uTOlRvv1ou4qynvE569eZfeQUAhe8vF2CC8yg7iUFoWMrnSqgNT3Uqgjm9bVluVX8X9tTFM++0NqkcLaFKgLjN1u/1VD1L4oWAe/LttswGVkkuTq+Pfcb3JQMVGNMsg1T0W/1CXqD9ynsyoB7tPkoPx8u/OdhOOaSkCKPgzuhKektrE3zKdXlMTmrPEVPHUbJ6zfs95SLYITfpq2nrno+N6S/9E5/llL4adPTTKLF7/s5k+ZaVU6h1LfOIhHmn4r8CjZS3xKxrKxlTdyFwlJ/3BTouN+CoUMhlphwZSRlqJyOPpZGVlkSWTG1YQVPJ0Huy03tApOzmaoJqD2a0/FVBxm0UtilK6y3rMD9RzkdCg3gj5iGPjapHPsxwRu56Qqa9q+XOOjqxG6Zbx/PqPVYOwAanzchkITfE2DJ0ym4Na4BAeLaOlX1FCN6Ya26TwnL2Dq1IiOJGr+qaf9jsjqwbSfoX65CYX/qnkyNJPEF3Ziy9HnyJDjbPuL+3wIMqauZypkKc/YKflYQrq+r6zkk5FPQmo0paYrbfQHs6n5N6mPlQK+IKI7Y9ck0cjspbQSAK+JGTqYZ7oyWjmVRa3q8DXA3fyxKA+NvRApUAmS+PQwDJIK0VyPF1bJpncJUQ0xMVWOVX/LKR10ziumczlKO8soGVwnEunsTl/X+D53sFULRFMorFC+X1kVQLbr+CeClQKGbK0QwwsI6VS5HHSNXUlw/WiOcfm7V8zafplG5KvGo9YVD3dw4BvqzNo91Oj/jlULwV/jfkCT8lXTDivr0D9C2ms/MGL3AVc2aOof+ddft0lNMVpM3QKsw8+0k6wCI9Y1tKPoqEb0ZstdR/hrK6cS6xCLkvnRHRlvL4czakMY9vLSjvMoLLmLme2bZ6SrNd3WNmpKJ4BVWgbs5VbumpT3ttEn0oBfBGx3a2TXDWERhLAlyFTOWxsfFxd3I4KXw9kp7HxZct2O8ZFRdarW6zrUZo8eYOZc/UVMkFJVuplkloGIPlmNH88z9TYEiHrMcfG1qbkd2PZefm53Xarye89EBpX7JM6b+H5XgZXLUFw4lXjoQ+/j6RqYHtWqBu1039KZGkP2NSrFJ6mk6wau7uO7oGeFOy1S7fHWsU/C1vTNO6ayeS2kjsLWhIcd02bk0v9hsCT3T/xbeW2LLigZ7FKHu4ZT8vPCyB1Zw+NC/Y4Z2yOEchPltBoiiD/DY3LmUdRwvea7lmQY9flLG0VbbwsCI06MX1auaQ0XWRuvIXn6wgp6EGu3BK+nnDORGGMQNq/MhIaaYtlJoZR/YaSi5O/QZIrN9Lqk7lgsP9prGrjZU5oNBnI2NkzAI9cOe1y9pbNXfzJ1yrFQj5jqeRcAv/+AAAgAElEQVSHB1A6MIKD+gGU/pHiNFNG/MxjAdK2dqeITyuWG3Zmqrg7L5gvhh7Txzb5FUhd9j353WkgatN1aybBLZNzZB+PiTDaS+EFm7uVwL+Z+WZWq3jo9mhJ6pJgeVSb4i/GfumJ5JtJ1q+5EJItQqO8SnydApTuvcN6Jt+FPN2PYofQqBNS3WVWPSnelUZw1DguQnlxMt9ISzHwiIkC2dmwKf9tCGWlle26nFlv6BR4ntKKfLnz0WLZM8PAK2NTKH5e3zHP7FQuVwmNFhXh5UZCC0upPvmiyZ4sOaemjGTFI8tlE8dIOi6XdoVG4lmeIb+aAcfkb6SUGnjE0ClmHBpAWUkFRp4wwRIVtxLq4F1pFKdNBt4OJdLsofGi6rhzJmUD2y5ndg5T0BB4CSX67tORGX2OGRzsXwZJ4Y6s0Q+E9I/s/uoITfF+xhPodHFVd2ZT37sIIeuMttlaD9SRtfZWWjm7LmfW5cza2pWCNcbzl+l8gfCQxTFzuOHCuMTp+xmHGFBWQoWR5p8Y0EwieVdilL5CNX2UlMrv4HKm3s9pExv5WcZ9nY+qYy37N4Gny1pQoHg3NlutVNiqSAUnIyviKanGRGOHpouYweq2XuTyas86ExW3lUrOhLlJaCSelB/yq4kea/tnaamBGMyWq3XltAD61UiLE/3suJzZ1nV1GlWQlOjLPgs8Mw72p4ykMB3XPDHYQ2ciaQlNcfoZjn/UvaE+fKm+N0VC1hkPwMmm7XYqw5nRVJGWov8hfYEEni1pTt6ATmzQn+CAeoJsGLFnzO2fzcNe3gehcck+ZXBoQFkkFUZibqZvkVDHm0qjTrs4jtR6g0hNCY0aROV14oKkJoQmi61dC1Jj/F9me8OFh4uJmXNDA7sr/Ybqwc+0KZTfxj63TLZ29c/GKWcO7HGO2RyjVr0zoUlJWUl2/owivMOVnoTkMKFpsSzVQqiXpLT0IneuXEi+nojVxJNFbPNbC0Jj/pDMjZ0ooHYjk1Rj0kU9o/nAhEb5N+O/8uKLMX/ZbWRZ27pRsOJITlgOljKv8Of5NI3b2YaQgvi3Xclzk3Ge/OgoBq+yxFMLQub6jhRwZwCm3qKyoxdVWo5lybJlLLP3t3wF286ZzGhbYG51m3mfM3tXMqVXMA07TeXQY2ejFHWnXQFPSS1mWI5oFGcYrV6h+XaKVTauBGSL0Kjt24O9TGhXj+Dw6aw9eIEnprbelYzdiuOY0MyuLyFv+7Vm7k+q63HUlBai926TiQc7nY3jgb/ai8DGhk7Va27+dYVnav0UZLx+dJvzS0MoIvnaYqbYPUIDmRwdXA5JucEYeEbaHsaN2+veyqJmzsQRUdMRmrztWWu6+Ki6TlxNKYV679bNxGWxJ6woHvnas+aNEqXS+Pd2x48U8gom2VUC4RahsYObJg0pZQYfNRAuvSrJDkZQMo83wcmunkanHeRJywy2dknSuXJ6Byej55E29eCdCY11OVX3ltIqIA8+nzWmZ+R0lm47zq3XSgTBxNDpC23j19n7WXvCKOqRj/Zr3pjVp/LtDn4s5EVwsm5Q+h4JjVx9sp2nL11tnIaiODOayhL1ZIGRTNoopi5IwenRlfGUVGX83/r+TB/7jXaFJl8IvzhcAdfHf9dfdwlNXtqbNz6ux9VEWqg3erPlcl05Fd09QmNb1x20F9lBIkrmQd1eXD2UUENopGUYbOUPqOBUVEU8vYNJNjY+m4eoOLPdTmFRXmBiNSnF++zW9h/CC9aNaEGdQH/arnyuJWeqeywcGc8lM/WybreavOz0MbbxdCadA7wt7VPWHsKKepCv/RremNhopfItO34shFdwsmG12XGu2n7BitDo+gXTFZp7S1sRkMeHzxr3JHL6UrYdv8VrpYDWTLnSb/w/bkyvhURiuSddLaGMXb0KurdCoymYfUKTczbHiKBIaPRY6MlRLinWhEbG9h5qV69ceBQNZ5/JmEz/uv1fx4RGtrMnAepvzngUI9yQ8AcmNK9W0Sa/H503mo6kzEukJjQB5Yfyu52BspC6hvZ+/nRYY+rTreL+4vEkWa5i6JLO2hBCgUrRuPHJFbK2/0ilpiOYnZhIor2/uUmsOelK56sTJP0Ov29KIjqkIU16z+eUYROQOQbGOyXXpgUhsTpdT+1ydoKRFTyRBi8wRnfjKtuE5vFh4ro2oemPE1my7ST33uuAwRmhkeLTZYvZseJaQlOQXrtMGo+dzsZZp2i7M1Ly7FQKY8K603vwGOKXbWTbjDYUtnJ9ca/jU1ed8lIsNbwK0fkXtW4LPFk1ijiz2UHXKthxuVzsuIQnJAdLye1Tl0Fzk0hKMv9bsGgXV12t+/dMaJRXpxIkyUP5ob9bkR3biDkYMCivMS1IQh4TG2RbD+x3oLbztAy1pR8CL08vpH9wZQp7eWhcfvMEVCd81TWLI/Ut09LfO3pf6+Yqze1D3UFzreozacEidukr9L0RGoGni5oi9ShGX0MfpJcdlFem8K3EkwqRur1uxkc2rlTciq+DxLOS9YEvwguWfi/Fo0Q/DpiYARuJ5FCQm4RGanlSpEpLaAr2Qmu23KgrpyV4z4RGeZWpFu3FmUj2CY2uv8tTnqH6AUA2bbczGdReK+q+1atwN7a+AeHJCkZN/5PfRlTAt/lizWSG6uZcRibesHBltdVu388eGpsTLhb2SXiSTLA0Nz51BzHXwkYnJS1g0a6rZv2jfVxc7BfUCQgvOb2wP8GVC+Plof3sR0D1cFZdk6mBdKHfkLHrx4J4SINZaDUpltOEJidtjhE9kdDosXBIaNQzS94aQuP5RQy29sXrk7H+dUxosjZ1Jr96hcbzC8YYEnaD0CjOs3rKLy75clvLpg1RHB/OZ15BTHPwhWC1y1mposaZKsu0MrZ0JSBfC5YZ3M3U7kcPWD7J/gc01Rvw8wdNc0t21Y0ZNGmz1MXZDUspndwr/2Fpq0IUarvCMAts742MzV3w9yzLkN8sGJ5sBz0DPCkRccDeqw7Ds0VolNeZVd+XsuG77W5+Vma8IcNsRsuhGE4eflhCI7w4zNajBn8DGys0Kv5Z24WyPlUZtPeJwX1Kc9qS1NKX372OTwOE6gELmxUgf3AS9+TXmRe9wPyoVSdo6R9bEhrzcrnacWWwsbMvHupvJem9MvQZuPv7ngmN4vQoKntK+GbyJUOdOBbREaH5m/FVJUi+mWyYmXWN0Ai8OLyVo04nKfSSWeuH6uFlrujfl6Vy6+RmZnT9kgL5GzLHcg+dPhmTX2fvZ2zsjK+HD6HOKtSS0AgvOLz1qN02byKC7tKS7BmxSV/Xkfwe/nS3sXlQeW4cVT0l1Ii94lI9Zu7oSaE8Reizx4K16AbZknqzMDvZy1rQHArJaUIDLteV0xK8Z0KjOM2oymrXZ2N7cSaSI0Lz9/iqSCTfMFm/LOIioTG3cc4k0D5X3Z5FfW9/Qta/4N6SUcy6okTx11i+LNCIef/IuTJzJMmWhxa5etiLTgTbtsOZfG7Yp4yNdPb1wCd0s4kLo7P0bT230y9oCJSpy5mKh5evGGyBLPUWJzfPoOuXBcjfcA7gSr+hG6tKGjDnH0svlZwiNO/H5uiREwmNHgkTQvP9UuNpTJrHb3bRu2QecuX2pGKkuZ+z/nX7v44IjYqb8bU1e2g8K0Vy0jA2tk9odvcurNlD491xvZbhp6+hfVmTr57bF8TOE4EnC4PxLtqHPQ5mdlU3Z1Dbtw2r3thKRsnVKd/iXcWc7MnPJRL7i3FPg/mbSq5M+Ra/Duvcc91R3WFBqwaMP+NAWPOM3LjTHQpQ8EfdjJz9V4Uny2nl60PHdeabwoWHSTT2KkjoxlcmLyvISM9yyZc5W4RGsy8sLx3WmTr567NXH9rQlbJeHniV68a6B5aGSh/Pnd/3TGj+GEZ5qXHvgOpmIuOWPDYIaNUZyY/xU1lP/ELW89oQC2S7e1NIs0Kj4PXmeBZoTimzHrBqXrHTQeuTe7WlG0WkXzN6SSwx63WuD/qHLv7KHZbLTsdl5Vog8Gx1ewIkX9lw6RF4emgHJ8xV0r50OUhoSg/61WIVRsXdOQ3wklQhRr8HxL4kuie6AUPpQYYTfQyvvPmFTv4SqsQYfc+t9EATWbt/UmpwZVVxM3EcS9Sb/Fz6Z60fWRt60HbRI/P2q7rNzHrF6LnTYtBuIw9n7wvPVtM+QMJX4/+2IgzC00Ps0Feo/A+GlZca/e9VN0kct0Szf9FGtjaC7GOjPnyilZ+Uugnm3yRSJ5K2MRR/yReOvwtlkpvwfDXt/b1pvsSincgOEFFSylcTzpuVU5mRxtscm2wxEcTRd2hMo2m2/s2mvtMVGnC5rizSt77NQUJjo72o7s6hgZd5e7GWwTxES2hKW32EFN7wSyd/JFVijPvz7NhLxzbOPD+7d6r7JDXJh2/LiUyKns9NdZelvEzst/mpE7eZqZHLbLjRWbdbTfp25LRtO+xKpHvghn0SnrG6fQCSr8Zj5XkpPOXQjhO4ZqYFHiU1xsrlTN3nlTM9FCCLDT3askjvEqiTWHV7JvWK9VQv37jUb2TsDaekRL3X1dKuafdvu3UogEaGD2Nz9DUnEho9EgZC40HAd1M49VrXAQqpHBv1LXlz5ybvlz+x36WNkfpE1b86QpM7N5IiTZh2yngEZuaN1XQt70nuvFUZesCURNkjNCpuxNfBK3cuJN/GckUJWcdHUi14vtkXmU1zd34t42BECbwbzeOBoz5fdoiIMnaObUbg6dLv8alssiFZdoklE5dxxUDSLCXJZHv3ogRNu2bWuVnGsnUvuzib72v3Yt1ty0ZnK7Z7YZrv0Ph2df5hTdI4OOBzSnTbYjKIFniyrCWFqo3hlGH2XMmluNrk9yxBp3WPnAqTuTkUX8/PGK7/QILTN4CX2mObQzfbInnprG2fV7O6mCt3Pjqss+9W6EpW2jhyDkaUxMPDxneLVDeJry0hf6eNZjNTysux1JAE0HOHSZ2p7jK7vhdFwvaaue6o7s+ncd4Aum3Vypp5cAKTTHxUtEesFiFMfxCIbD99i+XBv9MvGPi28IpDkxpQUn24wGkZDxePY67G9VFLHLwKW6w26mQpbNirYoFG1jGGfuaJ9+dDOJBNCB2XSze5kb8TGw26o+vIa0gI6LnDiJH8CvOCi1C62yazlUrh1T5GRSx2ffVI7fddycvquyZq3+ZSXjWIVRsYwz8dbkXC0MOueaQhRRLyfjuGE2+MBkR4uoM+5fNTedB+uweNGJI2XOgGDP71mHLWlJzLuBzfgIJVBrHfeNwUVnqgSUfF/fmNyRvQDa36ZHJwwiQ3XJysy6l2jfWvPoGzps1LdYMZjRoz24UVGufvy7kyL5gipbuxydTVQ3jFvlERLNa77KruM79xXgK6bdXuL8g8yIRJB4x6YcDR3oUjbGRcSGhI4S+Gc8x0pKW4TmKTIlQasNeNA0cy+G14ZQr98LNxEzmQeXQIFUp0YLXJsYOqm/MJ9stDQIvF79CH2SuvjH19i+HhUYIIE/thK7bqZjy1JfnpZN74uBxbA0lAT4xmy8W6spWJWZh6X0olvCy/lyT/lUGlvKxWw2zrura9SPJ+y5gTb4yEW3jKjj7lyV/ZvL2YZW/jRkto/Kk35azZxnLZ5XgaFKzCoP0m+1KzabttZGsjSODJ0hYUkPjSLEl/aqOKWzPrkrfwZ/ReaWuS1LrdahK2Y9e1eBY239NpQxLzIPfsk/zKPIKLlKbbJtODGQRe7RtFxGLriQPzvIx3mbv7UDRvS5YbnRR4vX8MQcXy4GtYAcpiQ4g/1SecNXNlU3u0NGo8W5uYK/2G6i4/tytJ8Y6rzbxUhGc7CSvviaTaJJPDq4wy2r/6UDZHK8EnS2jkh4ZQqXAAfj4++BQogF9AYUqH70QmO8jgioUJ8PPBx6cABfwCKFSmL7tkAs9S2lO8UAC+BdTv+OAfUJyuG3RH0xkIjYTqPSLp1rwZHbt1odW3gfgV/oLvhyzltN7twH7t2XiiJjTl8K89kd/Ob2VMx0Y0at2J0HYNqVi0KF+0GMKyM8Z9J8KzFNoXL0SAbwGN/D7+ARTvusG4ipFxjuSeQRT3zk/ZmnWo+tUPzD6TzRGWWlr1TGNdb82HIC33+5sX5g0bOxcnOMnOBt/0syS0DKLt5A3s2fEz8ZMSOfDQdEBknhqKP4n+orL1hyktotm+FXj1ZyIhQbXpOuln9py4zMM0x9LbTsc61NUPa2reTPuThNb1CJ13nIfpb7h7aCpt6oaw8ILpiFTFrUWtKVmoFBX7/mKdoTpEeMbeqRH0De9O86rF8PP1p1RQO3qF9yVi/knnAxYdoeliY0OvZmZm9zCCivhQJGg4e0xPbLAtjf1QIZWD0yMI79WOoEB/fH39CNTIGUHc/ufITs4lLLQxFQN88C1ejVY9RrLm+huOzepDp4af4+/jS8karekRvYGrJ+YTHtqYSgV98A0Mom2vRE4YBowZnI1vToVaESxYs5BxUUu5oOFBCv6cH05o40oU9PElMKgtvRJPqEf9/LNlKA3Lf0G72DXs2beFpfHTWHHyEqtDy1G2UR8GjPuFu//3T+aHh9K4UkF8fQP5tk1Pxmz+B8Wfell88Q38ljY9x7DZasldyZWptakxzvIUKPtwWT+xUy7ZSeaGhdK4YgA+vsWp1qoHI9dc582xWfTp1JDP/X3wLVmD1j2i2aAf3KafJ6V/M5qEjmHB+i2sXxTL8KEJHH7mygqcQOqBafTqWJey/j74l6tHSO84Dr14wPYJP9K+Zml8fQKo0LATfWYdI0NhxM3HN5Cgtr1I1FeWhtBICew8nmmjJjJv7Q62pcTSvX4tQqYe4rEDE2CNj4Kz45oTtvlvdiWMJXbeGnbt20JydAgtQtWHdegTs6cHuhQzzhLfvAK1IhawZuE4opZecN6G1K/aKWfWhlAqNI9gxIgppOw8zOHda5k5tAcDl140I+3W5dGGuPZ+OudT+tOsSShjFqxny/pFxA4fSsLhZ2Z7BTLOxtO8Qi0iFqxh4bgolmobhr2srcMdYSO84a8lEbRuE8bYxJVsWDWHyJAWdI49gCNTbp0J8PZvFoTUoU3sQe68SefJ6WX0qt+EUftNB3egur+KzqX9KNdjgxsrTTZz1AWquPVLDP369qVP1+/5uoSfxk6V+Pp7uvbpS79+49li1rZlnJwbRmjjigT4+FK8Wit6jFzD9TfHmNWnEw0/98fHtyQ1WvcgesNtXR6u1ZU9KYXUA0zr1ZG6Zf3x8S9HvZDexB16wYPtE/ixfU1K+/oQUKEhnfrM4liGI13XDbADOzN+2igmzlvLjm0pxHavT60Q0/ZiTxLzcMXZcTQP28zfuxIYGzuPNbv2sSU5mpAWoUw99Ngw8Wi0l+7YbvO8nN2pV/k6BLYwW1lV3V9AcKD6tDPjxIkmHTvt1iinqV3/v8Y+xNeXwG/b0HPMZmfi6J67ap+MyaWfT6F/syaEjlnA+i3rWRQ7nKEJh3HJTOuTkV8npWt16vVdwI5D+9m0KJYJC7czXb2XMl95GoSMZP3tDDaEVqB5xAhGTElh5+HD7F47k6E9BrL0osl4xJV+4+0VVg9uyfe9JrJo805+SY5j7MRkJncIwCNPIb5q0Z2EY26MOT+UzQE+WUKjr+sc+zUQGv2hAAKyV4959OwNMov28655ClmvePzoGW/eIWFV1muePlGf1f6O0rzdSreCJQi3PPfRRrLpe8Ko0NKRi4Oc1NvnOX8r1cL9xDox5d/jqV5jgpsnxlmkk3WfY6tnMnZQd1o3DKJG9epUV//VqE3oQtf8vS1SxC1Co35ZSOfOb7+wJCmJZVtO8sDEdpilrbrJ/IRNZkE5duOQ0ORYLh88Idmza5y7eJ90V8boaumEDJ5c/5u/Lt7hpWFlUM6b56+d6qPzwim5MjuaxWaDIedv2YrhdrlsJaIPU77h/uW/uXT/jWHAoX/0QX51hEZ7ypmMl3cucfHWi3e3S+pzdVJvc/HiLV5ky8jJeHbtHBfvp5sRguxgIqS9IFVNqFXpPLh0htPnbvA003XD6977St7cv8zfl+7zRs/fLIWWPePauYvcd7lhWCXgBBsFb+5f4dI712MmD05tY3nSfBatO8T11642ZEt5P9Z7F+rqvYquIzS6UwFlL+9wKdvtxUJQWSq3L17k1guZceXHIoqj23e3cQpSHz+3mIiQ8ezJy3/HztkorDv2SfnmPpf/vsR9u43aRgZmQQJvn1zn7zPnuP5UPchQ8OzmBa7efsjzN1moEEh7karBS5X+gEtnTnPuxlPsmilX+g3FG+5dOs/VR2obKvDq7kUu37zHk1dvUbhu/nSlcGaPc8bmvDOhMcP8U76xIjSfcmGcyC6kcu6XZWy/koH8z2iqlOnHPlcIt+I8sfUaE+/g8AAnOesev+XIkCA6rHj4zoMN1/JzPZbbhMbFpIXUTcQvvO5ibDejvVxOCy/LE3rcTEOMboGAgkcnd3H4Rrq2Q888yqTRm9xwn7JI7r96a0Zo/quFFMslIvAxImBOaD5GCUWZRAQ+JAIioVGjLU8n9fEO+pXKQ65cUoITb2hYr9sk9EPW3DvkpTgxkgqe6q8RX+DM+FrUnXrB7vdnLLPJOBZJcO/NmB5mZhnH2b3y+hxat5rj1ulmztLMqecZ6zuSP39H1rtC8FzONJ3j08ezwdQ/3uV3nUcUHs6nkZfF/hTnr4kxHCGg2XSZh7yaj80quLE4ktnnDMs+jt7833qmOM6IzyUU77ffYjb1fwsGsbQiAh8eAQXHR3yOxMaHHj+8LGKOIgL/PgIiodF88C6G2pUq80XVr6lW7Su+rFKJL7qtzCGf3n+/ki0lEFL3Maptd2KmDqPXT6u54dY47S1nZ3Sj/4b72VtdybzArG7hrL5rz5/CUtoPey88XktI8cI0m+/qNyacy6e6tZH527OJl9Pk33J+egMCyoWxw+0DK5wm/j8c4S1n53Sl88hZJE4ZQ+wv13PAbe2/BKdA6qHphIc2p1a1alQLCiYkbDK7Hv3X3Ir+S3UmluW/goCQeojp4aE0r1WNatWCCA4JY/KuR9nrk/8roIjl+J9HQCQ0/7MqoCQrK5sb6YXnHE2IYskFt5iQ5sNPR+JjWH7R9ASjj68CMm/uZGpYRzr3i2TyqrOYHN708QgrPOf3ZVOIGdCFLkPmceS+m3Xx8ZTko5ZEkGchE8foH3UdicKJCIgIiAiICIgIiIRG1AERAREBEQERAREBEQERAREBEQERgU8WAZHQfLJVJwouIiAiICIgIiAiICIgIiAiICIgIiASGlEHRAREBEQERAREBEQERAREBEQERAQ+WQREQvPJVp0ouIiAiICIgIiAiICIgIiAiICIgIiASGhEHRAREBEQERAREBEQERAREBEQERAR+GQREAnNJ1t1ouAiAiICIgIiAiICIgIiAiICIgIiAiKhEXVAREBEQERAREBEQERAROB/AYHX2xnw42Lui8fR/y/U9v9UGUVC80lVt4Bcls1vx3xS5fxUhVVyaXl/Qlo347u6TZn0+3/82zCCnI9JHTN/T6B7+5YEN6hL5wXXcOXTrYJchjstKjt52NdmsT3bx0Z8okfALR3N/J2E7u1pGdyAup0XcM2VRqDP6N/8FZ6zd2IX2rZoQv26fVn7WHh3abKVpkWblJ1gdvf2tApuSN32s7lghqdF3HeXOBspvOXe9XtkuvymwIvVITSceN7KPipSb3Hm9+Ocu/2CTJHsuIyoGPHjQUAkNB9PXTiRRMmF6bXxkQTSc8sLcsDcO8nPzmP5Y+48cN182knlPxssKDN5+usIvpQUoc8e2X+2nCgvML22D5LAnmx58a9pozm+goL0e+voWkJK1XHnrDps88igvDCd2j4SAntuweUiuJmHZZ7G+4+kPRsFEq8+QgTs66icx3ce2BjICijS77GuawmkVcdxzmwA/hEW0EQklfwNN5Ja4CdtSOK9nBlRu5emrTYpoMh4wObepZFUjOSkYfbDVlx9YezVjf75u/8KspfcObmRuG5fEVA5mj8NcjlJW3jM0raNiTNluqpH7J3cm55DJjM3eS4Te9cmsFQ9Bq6+wsf9CWwnZRUf/88hIBKaT6bKlVxNbELBfOXpt/Plv0ZolFfjGTzrBjnT3Xwy4LslqJC6jBbe/3VCc5XEJgXJV74fO19+JIRGXUvKS0z+xts1QnM1kSYF81G+307cKoIbedhXnI+jPduXT3zyMSCgtKejyqvED57FDZuGWMmlyd/g/YkRGjXe8t+GUMY75wiNe2naa5Mqbs6ojbcFobHbHzusm3fXKuWNdYwaMJJpKduZ0doPSaUoTrlIaFT3kmjRbDZ3DHqj5Mqc7vTf9NCkT8/kXGxN8kpK02v7839trPHuSIkp/K8hIBKaT63G/9Wxo8DzlSE0nSESGodq879AaHQA/KvqaKsSlJeIre4aodG+no0SuJ2HLUE/VgAdyCo++pcQsNZR4flKQprOsE9oYqt/soSm7HsgNG6laQW3ipvxloTGfvt1XDc5qUIytvfwd4PQqLg1M5hWyQ+M5EVxgshvvqLDlH08MpAcEJ4vpblXbqQN5nDXJDwnpRfTEhHIaQREQpPTiP6X08u6wNQ6ftSaLhIah9X8P0RoHOLwbzzMSbJhT/4PkYe9vMVwEQGyuDC1Dn61pouExgVtUK/6uEVorNJ0QGis4jqrG6sX3iHATUKjvMLURu1JeWrC2GS76V3Yg9zeLVmeahIuP8yAwDzkCezPof/4VtB3qADx1Y8MgU+b0MhuszdpGlPj4omfPo5B/cay4Uq6CcQCLw5Mo3dn9SbJJgxcf4PzG2IZPjSSkYMjGDx2MUcf6ltrduK2o0VwMDEHX3NzRyKTo/rQeeDPXM4yivD2xnZmxIwhdvoMpk+ZxOgxs9n/j3ZvheJcCpEjIhk1KprIEUMZnnxC47OqvLiKmJFRmvCRw/Si0GEAACAASURBVMey7qqMyyt+olvIDzRrEsr8SzrH6MwTzA0LpUOrpjTpt4p7ry+zbX48CQmxDAuPIG7vPRQoeXpiFXNmziJ+wiB6D57LsacWUy5OcVRye0csvWoVxTN3HorV6UpE//70HzCCny+YrHWrnnF8YRRDYqYza8ZEhoYPJOHwI6d7GTRoOZXBiKnVlfCCA9N607ldC4KDYzj4+iY7EicT1aczA3++rIsu4/beJKZNjSM+fjrjBvVj7IYrmGoLdvGcwrCwcCZtvYlJ1erSTefajkQmxc5gVvxUYqcu5uD5hXxv0+XsLTe2zyBmTCzTZ0xnyqTRjJm9H506YD9/N+vTCiDTgCzu7InnpwHDGDN+IpMnjGPC3D3cMdvu40RO5WVW/NSNkB+a0SR0PkZ1nEtYaAdaNW1Cv1X3eH15G/PjE0iYMoyw8ElsvWmNnqlkmmvF3/wcOYwRUdFER45g6PBkjt/ZT8Lw4URGRxOlbicLTpCBggsrohk2IoroqBGMXHZWm5SBbPzFy8tbSZo5m5k28ldeXsFP3UL4oVkTQudfstBRJxi5mIdV2QwBStvtGRVPfk1myvT5LF66hEWLFrEgYQjthu+0oXeGxDQXigs/M3LAAAYOV9uaBGbOnMnM6eMZPmAQE7fcMURWPTvOwqghxEyfxYyJQwkfmMDhR1p7Irw4wLTenWnXIpjgmIO8vrmDxMlR9Ok8kJ9NjJojm2bIyOGFE/1yqT07zABnMmaecFdXVTw7vpCoITFMnzWDiUPDGZhwGB109oV5B322paPK2zuI7VWLop65yVOsDl0j+tO//wBG/HzB5HALJZd0KzR/vbzM1qSZzJ7pyIZZiv8++kInda4TQU8+5lw8x8a5M5k9O46Jo0cxefkfPDHpatTRZbf3kjRtKnHx8UwfN4h+Yzdg1v27laa9NqlOxJLQ2I7rqG6yLq5i9PBIokepbdgwhk3fq10REV5wePYIhkdGEz1yBDMPPNVJ7cqPe4RG+fcEGnRaiylvAQX3jvxMyr6b5vtl0jYQ4psbSbWJFgchuCKXGEdE4N9B4BMmNFn8PjKI+qOP8Fw3sfD2z7FUL1idsSdMtrIpM3l5PZlW/p4Uq96duEOP0FKYdM4mBFO8RDPm/K3b5O5m3NTLc2num5fmg6czbdcD7iU1RupZmVGntZY3/WQsDb/uytp/jJY460oSrb/8nsQLWaCSkf7kL5Z3/xyp5BvGnEnX+qtm/sW4b/z5oscc9vz1D68VoJKncW9TL0pLKhJp2JmoJOv1bVaFFsfr2wimTEnmlG4zQNapaL7IV43IhfOJ23hda6yEVDZ2KUqhDqsxTtK4hqNKIUOWtpuw4lKCplzibVYWWVkyFHpuJDxhe99KlGqXwj0d3xIerSGkzFdEHTOjDTY03TUZbLxoCFJmpnJ5bnN88zZn8PRp7Hpwj6TGUjwrj9LEyfp9JEH1R3PEqCyMrV6Q6mO1JFKbkBM881dn8nmTXbaqB2zu+zVfdlvNLT0heHuJlP41KeZpuYcmnZOxDfm661qM6pDFlaTWfPl9Imp1ACf5u1SfBkhsXGRxYU5TSlTow9aHunLIr7C47Wd8HfOnLr4rcqqQp91jUy+LjbLKLF7fXkVocS++jZjClORTur0pWZyK/oL81SdjCp8NATWDh6xX11keUgzPgPYsv5OGQlCQ8egIkdW8KNTxZ+6maduT4uV55rYsxbeDN3DuiY4s6chG5dBIJiQ5yF8lJ+3eJnqVllAx8qTJYNAFjFzNw3YBNaG22rPq9nxatko08W+HzD9HE9RpnY3N3+aJp68JoWrvDdw2mL50Toz5hnwFg5l3TYuX8GQ7fSuVol3KPR2BE3i0JoQyX0WhbaJKMlMvM7e5L3mbD2b6tF08uJdEY6knlUed1mTo1KaZi2XjzhX9Amft2UbChiCXZHRLVwWebO9LpVLtSDEaN9aElOGrqGPmkyIGKfQXKrKtz7Z0VKVAJktjd1hxpEFTuPRWbYezkBkMsTpfHaGpHErkhCTzPsHShunFtPzN0b7QtTpXi6AhNJJiBIUlcea1rmMXnnN4RBCftZrPRf2cSNbvjAyqz+gj+j0eb/lzbHUKVh+LaffvTpq22qQWFktCY6c/dlQ36rp8cJio6l5IqsVwIlWm25si8PbWUtqXqcGgjZd4ITNZJbGsE6t7dwiNnJPRdemx+bVVKtYBAi/WhhDgUYAGs65bTPZYxxZDRAQ+FgQ+XUIjPGFx87x4+IWyKUMHp+oOM+t6UazvPvTjS80T+W8MKSOl8ujTJgMX9djpLvMa5cO7Rizn9ZzD7bie+DVbqPUzzXrE+bO3SVPbpKwTRFXJR00r9yw5J6MqkT9oKpf0eWaeY1o9fwI7rdWcDf/2r9kMjP2NVxa2TXVzBrW9TQmNunTaDaCSvEHEGgqhzn8LXXw98G+3imeGdFT8M6cBXsXC2acHyB0cZQfoV0Jq0+UsbU84gdJqTDQ71zKLvWHF8Wu70rG+uyODg5Q0G0o9/Wi28K7GRzjr0XnO3k4DBJ4sbk5eDz9CjcrCnZl18SrW14iFJm1HeHoRnPxE1xGpuLuwOf7+bVhhZIeaFFTX46gpNSc0WSeiqJKvJtMtd/HKTxJVKT9BUy/pdNNR/i7UpwN8lNdmUCefH62WPzJs9BSer6KdnyfF+uzWvOm6nLY2yuo35UvIG2TSpjTq2AVfr2CSnxiU0YGkkPXrIMpIqxBzVt9IFJweVQmvr8bzt4FTprMrJoZ9+vavTlFDNiRIvplobNP28lfdZEZtbzNC4wpGbuXhoJSW7TlrYycCak/lkukhgoqTjB+zyQmhEXiwcDjTLuqBEUjdG0EFrxKErLmv85dPY094IFLLGdesvYQV96Ptyuc6SeX8NqQMnn7NWKhxns/i0fmz3FYbNXdsmp1yu65fug3iNtuzncTVwe7IqDncwQVdTdtDeKCUahMvmA3usvaGUdyvLSv1kySOxMquPtvQUZBxoF8JpE5cziSSb5ho1SeY2jAHAqsf5VBf6G6dl5VWYfQZfbvXyZiuroN8BE25qLGTwpPFNM/rgV/oJvTNX3VnJnW9itHX0Llp39WQJBfSVMe2bJPaFKwJjf24jupG4OnKtvgXaEqyyUdghGdrGTXlpNNVWK0spv+7QWiyjvJTnb7s1oNlmozl9dsTjPrSm2KtFnFd78BiGUe8FxH4CBH4dAmNeuzy8gbnrr/UdNiqzFTu3zjO5HoSvDpYzGiqDXNZKd9MumjWIamXku/PbYjEs4Jx1SMbca2Ikno5/EAEJa1m6bUakLG2Pd6elYg2OWtRefdn2pUIoEHMLMZEruK2fmxiojSqm/G2CU1sdaTF+rJfT1LU78h20aughBqxl03KLPA4ORgv365s1c90uYOjXULzlh09C5EnoDvbMpQolfo/OXfnNMS7zBCTUti+dLkubb+uCdV2XJUZrVshM4uqfMmNc9d5qV5RUmWSev8GxyfXQ+LVgXWmA0jd7KZtPKXUnXlbO0BUXiG2hgRJgzn8o1+l0mWo6VjNCI2MAxEl8SzSB+uTnDNY294bz0r6oze1s6u283etPs3KbbhRcn7i10gkDZhjIXDWq1QyNGVwR07bnbx2sC+lWN/9ZpMKsl29KCity8zbFmAZ5LO4kP/B8M+lVBh5QruiqrzMzPCGfONTxVi/b7YRM/FX84GAhtC4mL/qJvFmhMYVjPSkycU8LIplemvZnlV3F9LM3xO/Ss3oM3omK/ac4X6GgCA4I4EqHu3dynHd6ozqwTo6lZTyWd/dxuOo3+6gZ6E8BHTfRoahfSpRyu8yp6E3ZYYc1YmmJjRlkVYejWUzctemmZZVe+2Ofulm66V22rN14poQt2R0UVfe7uhJoTwBdN+WYWLblMjvzqGhdxmGHHVh1JddfbbSUXUxHQ2a1c8d2RATG2YHQ0NwjvSF2anzb5hkIOd6aV6R0soLT8NJY0pe3jjHda1BJzP1PjeOT6aexIsO5gZdu+ojdSVNNaGx1cfatnW24zqpm/Rd9CnhZdIvq7idPJr5lhNd+mI7/HWd0LzdH0GdgYecTIyo5/5SOTDkK8p8P4u/nDlWOJRNfCgi8OER+KQJDYrHHFsYRe/uYQydMIcVWzYSVVuCV3tXCQ1kbe2KX25v2q7WtV67RtxeXG/qz/5HNwuqr0CBh2r3szylGWyjs8va3h1/D2/arTG1GAIvdvahjKQUYbttLwvbNqC6zqvMYMyy0hAaKXUSdANwjWhaQiP16cIWE0LjMo72CI3wgHmNpHgEfMewuUkkJZn/Ja8+rgfG/q+rdWk/BW3H5V2f2RYDdu0rCh4fW0hU7+6EDZ3AnBVb2BhVG4lXe9uExhmeWdvo5pcbr7arrVxOrAiN8FDj/pantEUdaQTLYnt3fzy826FVhxyoT5sYZbG1qx+5vdqyxt4snVty2u7k9YSmzOCjOtdOrTBaQlOHBFcJDeoVmcpIy/3EbzL1N2MSGLPiIik/+FNhxHHkCLzcOJrYPywGk7pBqkv5Ww0WXcBIXRx38rBZF9pA6/Ys8OLEPMIbVSBAkptcuXIjDWzCuINPDStqDpLTPlJcJ6lpQfJ+Hc3v6sVJ3T/hwTwaST0I+G4Ycy3aZ1JSMquPP9HF1BIa7/qzLYh6dmyaPne9EO60Ax2hsdueLdLW3Lopo0v1KPBgXiOkHgF8N2yulW1LSl7N8SeukPRs6rOVjqoL6mTQrCc0zmyYLQhNw3KiL3TLpuhJrC3ykcXWbn7k9m6LvqtWPD7GwqjedA8byoQ5K9iyMYraEi/au0xorNO0bpNqQGzbOttxndWNnJORlZB+NpRj6j5YcY74mFW4uHBtWjsaPXDtlLN0dvSpy4jfTWc8LZLS3GZyce4P1O6awlXT8YGtqGKYiMBHiMCnS2iUt/m5Qyn8g2I4Ztjl9pKUll5uEZo3K3/A26MQvXbpGrsDI247rjcNE+9ZEBp4vaoNefMUo6/ZsolWA7I2hpDPI4CeO00MjPCao7ED+SmsFv5le7DZxpeSbRvQdxwAu4OjJaFR3mDnDrULQBrrOhTAo1Av9DC6pevuyOAgYc0Kjc0jP5Xc/rkDpfyDiDmWahgcvkxpiVd2CY3uFBjp90uNs+A62awIDa9Z1SYveSxX0TTxs9gYkg+PgJ5o1eEd69MuPnIODwgkj7Qpiyxc5IyvuCOn7U4+pwb7apmUf4/nK2kp+h9K4+yMsax/oeLluhAKlR/C0cznrB011fqDci4NUnUlthosuoLR+yM0qgeXuaLbNyBkPuPqb6sZ26I0XsV/ZIcJOTHWl+VVJmdja+HjW4/p53UjEuUFVq08DWnr6FDAg0K9dpmtnFmmADpC0zARy28bum3TrBJ3R7/0hMa9b5K4JaOLupK2rgMFTPsIq3K5FpAtfbbSUXVeloNmJTd27uCiwUvLHRviQPYc6QuzUec2V1Pesq5DXkMfo7z9Mx1K+RMUc8y4yf1lCi293CE05mmqkbDdx9q2dbbjOqsbUF6Lo6Z3UXpse03GoUmM3/XGQSU4euTiCs2rX+hWL8ZqxdU8ZSX3f+lPhxG70G+vVBO5u38c17jBm8cV70QEPk4EPllCIz8ykEDPovTeZdgFC8JjFgRLtYRGcZb583SzxDrDbOkDDW/Z3y8Qz8Jd2Kj/sp7bcW0TGtW9ZJoWUPsrPzYMoLUqoORKbA0kBUNYZ/g8uYr7m8YwYdcTBOVtlv1QjMLNk7hu6KC0b9o2oO50XtYrNO7heIj+gV7UjLuuJXDyX5k8+QDq7Y2Pl7fGTxJE3HVLXzk5l/fsc6j9bsngICW7hEZ+hIGBnhTtvcvkJBeBxwuCkWoIjYKz8+fpVrhcxfMN23sWQ1JplFVHobqdQB0zlzMV95KbUkC9h8SSqOpc1wqGrNMRI1fzVwNhXZ8O4CFtZy+Ke5ag7z4zHzvNAOny/kOamUjX5bTdyeckoUF5mdgaUkr0nMz48Vt4pS7cm810LVqaiNULiZ5+znxPnPq5i4NUDU42BovOMXIzDwcVYtmeM9Z2o8Nyi9WYrKMMqRhErP4oObvpCbw+MpQq3oVpufiW0c309VpGjjuhsY3L1R/hC4rDuoleZs++W7qU7RMa92yaLUHdaQfZIzRuyeiirgiPl9PaT0JQnPUGafnlPey7ZWnzbJVdrTfZ0GcbOqomnYf6B+JVM47rmsUhOb9OnswBw/yYOzbEjqzq4BzpC7NR51Z7MdXYXWBiNQmFu2zkpSDnyMBAPIv2xrz7X0CwVEtoFGfnM0/nsqB1Rbbc32mZphYHyzapC7X5HRrbcZ3VjdpsP2JpC198W8Qzb/QUThjqzUFd2HzkCqFRfzuuIw0nme//Mk9O4OWvsURMOmQ4YEnzXHjAojGJ3DJZgFSkp5Fpcm+ejngnIvDvIvDJEpqsXb0o7FmcsD1GQqO6v5bwLwuSt/UK3siOMHXqr1q3F41h9sS/ySyzDbdZl2bSyL8oLRbdMA4A3IqrPqvdi3qz7lit0EAmZ2JrUyRoEudMxo/C68MMqlSU4LlXdIMxOfd3DCU47Bde6nRBeLqRLiV9qDH6mNnBAMpr0wjy+pwRx02ZjpLzE75CGtifw6beN1nb6O4vMZIPTdpq94nvkBbozCbdBK5bOKo71zrelBp4RDPLKzxbycTEa1rsZOeJb1iQzyP2mX11XXFzIf3HHnGo5W7J4CAl+eEBBHrVY5bxM8ja2Fm76FXYk+Jhe4yERnWfteFfUjBva1a8kXFk6lR+1eDnCE8ptWbcNNS18sZCvi9alj47jas+6sHGldmN8cvjT7dtJuv2mWeIrV2EoEnnTPyYBV4fHkSlosHMvaKvU0f5O69PB/CA8hZLWhWlYLMF3NRnp6Yx91cwZMxB7atuyHltWhBen4/AXB3PM+ErKYH9D5u5nGVt646/tBYzbrrTG6q4MaM2UmkgfbbrlyjS2dW7BAElmxFna5CvdCN/5TWmBXnx+YjjRmLkCkbu5OGgQizbc8aa9vjXmspF03aceZhBQb3Ypi++nfSEJ1voWUZKqW4bMXJmFfdTOtJ6ppasyM7H07Dg50Tse2kyyaLg5sL+jD2id3/VrlJ51ZtldtqaTjlctGl2hFQHu6xfYLc9O0jedburHtC6qisyzsc3pODnEezTT3ypZVDcZGH/sRigcyiX+mF29NmGjmpcoOrgXWogR9SDYeEZKycmcs3AqxzZEHMb5lDknOoL3alzzTdjitIq+YaxTSKQuqcvnxVvwaIb6kJmsatXYTyLh2Hs/lXcXxvOlwXz0nrFG2RHpjJVa9B1rsjO0tQiYdkmdaFobF35YZh6uNqOq57ocVQ32hRfb+1OUYkP9eKvGsceDivD1sNMNof64vnZcDO5zGIKj1nSpgnTjcph9lh9k3l+Ns2/bkz4yEgiI/V/I/ip7/fU7Gc8Ml55OZ66BTwpFrrB5KAhq+TEABGBfw2BT5bQoLjFhgF1KV+tC/G/7GPvhgVMS9jCxRPTqBdYlfb9R7LwtG6zgG6mqWpYLJOip7Bw4042LYjkh9pNGLTqsuGUFE0tuBRX4Pm+KfRqX5PSvj4EVGhIp57hzPnDhLmoExNSOZH4Iy3b9WfSgpWkzIrmx1atiFj2N2kIPN87kZBGVSjmk498ZbuzUeNIK/B0awRf+Oclv09RqjbvxsClpzg5N4zO31UgwMePsnVCGJRyCTL/YE6fEBp85o+Pbylqtv+Rybse8s/WsfT8oTol1bJVbETn8CT+fPsXiyK6EFy5ED6+JfimVXdG/XIHt3BE4PUfE2lYqREjlq5izqhJbHtoHKAKr8+Q3DuYpr0ms+SXzayeO5Yho1Zw0cg5bSu6O3VpKwXhOfum9KJ9zdL4+gRQoWEneobPwVgdCm5tGEDd8tXoEv8L+/ZuYMG0BLZcPMG0eoFUbd+fkQtPk+ECngUr6fDUEYK0c0sIb96KiKkpbNu+isTJY5iaOJggSW7yl2tAyKjNBtcdIfUEiT+2pF3/SSxYmcKs6B9p1SqCZX/rRqsu5O+0Pm3hYxqWfoHl/RpSo/lgZq3ayIZF04gavZgzJgNmp3LKTjI3rDPfVQjAx68sdUIGkXJJSeYfc+gT0oDP/H3wLVWT9j9OZtfDf9g6tic/VC+Jr09BKjXqTHjSnyaDFVPhrK9VdxJpVD6cvSY6lHkggvJ14kwGcNr33Mn//5ycS1jn76gQ4INf2TqEDEoxfE8HBxi5k4cJZ7QomMxme367NoSKLQcwInI6q/Yc4dCOn5kS0ZPRO0y+7G2RkvY2jZ29ipNHUobmQ8Yybtw4xsaMJCKkFiW9vGmzSu/SIvD6TDK9g5vSa/ISftm8mrljhzBqxUUN0Ree72NKr/bULO2LT0AFGnbqSficP0wIuDObZlM4q0Cn+uW0PVslaR7g0O5qo7pdj8JrziT3JrhpLyYv+YXNq+cydsgoVjg1buaiuaPPMgc6Krz+g4kN/z97ZwEc1fWGfSSbTYAIFA/aAn9KS0ub4hpaXIO7BXeCQ0hCDCe4NkhxlyKdYkULgQ8oFhicAQIZIl9kNvvt3vl9c9d3s5YQWmgvM2GvHHnPc97zvuc5dqvQaOwqYuZPJGj3M+1AixM2xNKGmUtocpeLvtBhneuyzTw5Br+Rh7i8PZzp4cvYduggmyIDaNN6ODE3jZv/lHFbGFKnIt90jWTr4UNsWTKbqJ3XOTu7Lj5ftWfwuGUY3b8zaVpvk1jauo59CTv2wmr71SNns270AcTfjJOMqt6CFc8cHfhhGkl7Lbw+RGjAQAb0+ImvSnjh6V0G33Z9GDAwgMXnzKd71I8X0+zH+VYGJ3TpZp5h7Bcy8ubJQ54sfzKzU1rV91fRprQ3VYYdNBtozSqh9ERC4J9B4NMlNDq81CnPuR17mRtPkgwjHeq0BN5qj23ShtIZZs0pZ0Iar+5e56+nyYbwZtBnJ6xZRHs3mSQ8uMFfT5Kc7sjZS+1DvHMKR13GQtoLbl29zSuTCQgzmTITeHA9ltsv00xGgs1CWL3JjgxWE3D0UJ3C89uxXL7xhCT9aKY6jYS3qYZZF0dJ2Hqf+fY+167FES9ionjJnWu3efDsDckKI+EzxBXxufEXT5Jsd3kNYT/UhfIdD6/Hcut5iu2yfwxyksGrl+/MZRQSefnKYvDgQ+DkDEa5mK+Q9Ia34uyMKonH1y5y8doD7X0u5qFPKjPhAddjb/MyLfsdKm0auWDTPrh+5YKMesAMv2Ka14m9/ZKcQZeL+iyk8eLWVW7bNMQGoXN28SF8YTbqXEh7xZ1rf/E0WW+sLYuhJuX5bWIv3+CJ0aCTlqA/tdEyPDhOM2ucHD1xVDfpJwmetlu7jDZHGTgTSc29KD9aLXuWLT/sTMpSGAmBjxGBT57QOAWqqWF2FCE7YR2lJb2XEJAQkBCQEJAQ+BQRkHxh7tVa5jPOHjih+/CtwNvtk5mlOeYs97LIkpK4Z6the9baPAQmSwzpgYTAJ43Af4PQKI4QUEpG1cmXHM+QZCfsJ131kvASAhICEgISAhICNhCQfKENYLL/WDz4pkx+D/y3pkL6ZeZOXIPTJ9hnPztNDOXladTrstl4ClwO05GiSQh8Kgj8ywmNQPyvYQzo5McP33zDN7Wa0W3QQsMH6MwrKTthzWNKdxICEgISAhICEgL/DgQkX5jr9Zh6kaiuXZkwdx7BUyLY/8TKUuRczTSTsxPq0HuXfv9criYuJSYh8FEi8C8nNB8l5pJQEgISAhICEgISAhIC/ykEBDIzxI8c/A3/VDeJ8B/FEeM5Cn9DplIWEgL/LAISofln8ZdylxCQEJAQkBCQEJAQkBCQEJAQkBB4DwQkQvMe4ElRJQQkBCQEJAQkBCQEJAQkBCQEJAT+WQQkQvPP4i/lLiEgISAhICEgISAhICEgISAhICHwHghIhOY9wJOiSghICEgISAhICEgISAhICEgISAj8swhIhOafxV/KXUJAQkBCQEJAQkBCQEJAQkBCQELgPRCQCM17gCdFlRCQEJAQkBCQEJAQkBCQEJAQkBD4ZxGQCM0/i7+Uu4SAhICEgISAhICEgISAhICEgITAeyAgEZr3AE+Kao6A+uURIkN28Thb3wwTeHN8HqG7HqE0T+4fu8t8dpJl4/vSZ+RUZsdcJPFv+XBANosrxPPHqhmMGdCdXhNWcvaVKpsJSMElBCQEJAT+BgQENeqP0Yb+DUWXspAQkBD4+xCQCM0HwVpJ7JI+tGnmR6N6NfH1m8mZzA+S0ceTaPIfBHUby8HXOfBcwjt+C/RnzOH4v+ejY3ZQE15uo0fZovjNvU6anXCmrxTxd7hw6hSX7r8jV2hF2mPuPE43zcL2tZDImYnf4VV5OEdz9aPQAvFHIhk+fAQjR41m9GjxbxQjRwxj1KrLOSOfQiaKbLNWgczsR0Jxdh492rfEr0Ed2s+7pqsXBWfn9aB9Sz8a1GnPvGu5Ulu268bkTfqZOQZ5/BfdzB09MUn/47sUiD80k65tm+NXrw79Yp6RrXGO3C5QjnQvt4X4xNJTxHPnwilOXYrjXQ6aipB4mVVDu9BnUhABP9aix7p7nxgAH7G46sfsnNyN9i38qFd3OLsSc0tWgdeHg+nZoSV+9etq2m1OUlacX8ygvn3pK/7168+YVVey+NPkk/MYEjCEYSNGMWrEMIYEjGRVbLYdhIV4Km6sGYx/6x9pVKcJ0098DB2vdM7M0fsdfxbdzEFjsijlv+FWiD/EzK5tae5Xjzr9YniWCw5CIjQfRDME4q8dZuP4unjkzUO+4gM4pPggGX0ciQqJHBrSlBHH3qNHnXGZoBY92fwiB4QoF1FI3tAWd7fW/OxMUZRP2DehLe3GrOLw2dPsWRhAm84hnMgJqUNAkfCAc9vC6P51Yf4XeMFp0iA8j6axvAQDf81lJRPUKDPecXNOY9zz5sen1zaepChQ5mS4VXWTyLoeyHx6suONs5+iugAAIABJREFUeR1nvnjAU6v8TcXNyLp4yHzoueNN9siuoCT16U76lpNRefw5A5aCMpWnO/tSTlaZ8efe13laU7xMXjx4SpbiCEpSnmyhp4+M/026ZJDHWgr/mmfqTJLuRtPcy5U6cx78c4TGju79o1hnvuCBdcV3IJYNHXMQy/nXKp7uD6RtuzGsOnyWM3sXMbiNP8G/vXK+DQqv2NKlNJVHnSQt8wxjPnfB7cflzosghXSMgCqZE6MrI682lcu5asrUpF2bha+8DEN/yyEh0PiOFJ6v70zZIoXI51qNCadTzMukziDh4SnmtvShcs91/PksiUxz12Ae3sk7QZXO65MTqC4rTK99uewTHchgy5cJyhSebOmJj+x/TLqUq5WFrTwdiPoRvFaTmXSX6OZeuNaZwwOJ0HwEdWJHhMyTIyiX/99PaDIuTaNem5U8fS+FFHi3sxc/BBwi1wab7NSNrVcJa1sg9+jCjgxbIfTPlfwVVZ8K/pt4ZTDCKh4sbELZ1qt5mC0sVNzdPJEh42azdk8ErbxkVJlw3vlOb8IaWsg96brTodB64bP1q9jfhyL5ZHwbdD3nMwuqOyxu+hkFKgxkb4IBMEDF7agRzL1rDTAVdxY35bMCFRi4N8H5zpS+dOp7RNRyMyM04iv1vQhquX0gQqO6TdSIuVgvzi1Cfd3+O4RGBDvzJCPKuf3DhMaW7ukV5Z/5Vd2OYsTcu9knevZ0LBeKovwrigYV/NlkNGyoHy2hadnmLL/v5OjyuxjaFCpNwFFthzL18XXuxOduRy4XivppJyG8ZPmPBSg16Fdyu9uesrMbhb07sS35/SBSHBjHqMULaVYkH65Vx3DCSnppW0Yw5ngOiZMt8ZLW08rt7yY09nwZqG6F4uuW24TGfp624Pl4nmdyckQ53CRC8/FUiS1JREJT/l9PaBLZ0b0K3bfnAg3J+I1hXzZn+TPTDq8tdM2fK19fZvfyMCYGdKFF4wbUr19f89egSS9W3HLSCQNaQtMVh9wgeQ+9SnjTaZv5qJPwajlN3Ssw8mQOXYxiDz29s0to1tJC7vFxExpddWWt2US29WhOhFUGYDOSeeXbulPfI9IqoYn8cIQmcRs9mkfYIDS3mf1fJDTl/2FC855qZEu93vd54rYeNI/IAaGxp2PvKxTJ7OlVAu9O2zCzbMIbVjcvSLmhv+HMsIn64TzquX/FtCsSiXnvKrGVQMpOuhXxpP3Gd7ZC5PB5JqdGVqBAkyU8z2qws5WmSGjGHUjj4aqWfJZPRpURx7MMWGZsG8P43/8NhMa+L1Pdnv0BCI39PLNVWf9IYJHQlJcIzT+CfTYz/S8QGuHtBtr7dGRTrtjUdA71L0eDedlZnpLM1ZW9qfldK8Ys+IXD527xLCGFlBTtX2p6ZrZG9p0lNIpD/Skuq5R12ZLiEP2La5c5ZVNdtMH/5YTGEpOM6+HU9a5FuD1CYxnJ2fu/ndBkcD28Lt61wiVCo68jcYbmIyE0epE+it+M64TX9aZWeHYJjQMde9/C6exXJZNlmtokFRwJKIWs4min9oMaCY3zg0nvK/p/LX7myZGUd6vPguydwuMYJtUtQr93f78ZeV0uWkKjAPVj1rUtRj5ZJYYceWfmk/8thMaRL/sQhMZRno4r+58OIREaTQ2on66n5zdV+KK8DyWLlaLXjjTi/1jCiM5taNPMl8/LVKF+n3mciRcQ3l5gxegutG3TjB++8OGLWp0JPvrCbKpf9fQgMzvV4dvv69GkaRPqflOJ8lXq4j9pA1dNj7nK/IOghl9SqUIZShUrScf1T7i6djBtmvhSpaIvXeadM5yKZZXQKA4z+ruvqP7td3z//bd823ou1zU2XyDx2mamdqlH1UpV+aF+fb7/XxV82wey+UaqTusy+SOoIV9WqkCZUsUo2XE9T66uZXCbJvhWqYhvl3mcM5XVlq4KCfyxKoSZ44Yy8Zc7KIR0Hvy6jLDQcMKmj2BE8H4eZIKQcIUtC6OYOzeMwGHjWHEx67Kf9AN98akbxX0rK4aEhPOsi5hN0KiRzP/DGDfl/AJ6+U/ioMmSBq2oAq9XNqNIm59569TIkJLbS1vj67+c63qIbJXZyecJa5oj93A0Q6PmflQdZDJfQi1nf5TnmVDZBXnz1U7maBEsJ4Tm3d8/Q5N+diH9u3SgZdMmDIp5TNKtPURHRhEVMob+A2aw447JLhLVTdaP7K7ZqNmky2JuiPquus++4D7UKu5C3vwlqN0tgMGDBzNk7DquaQZ1VdxcP5Lu/q35sUkXFmsi6bBS3OdQ9GxCwyKJDJ/G0IGT2XzTyloGpwiNiusxkxgzPpCJgRMYO3o04Yeea2yDkPA7C8aOYXxgIOPGRnLYzv4u1f19BPepRXGXvOQvUZtuAYMZPHgIY9ddMy4dVOlnaC6S8Ncels6ZxxxreGmKqeb12WUEjphE2JwIgkYPYEj4EZ46HPBO5+zC/nTp0JKmTQYR8ziJW3uiiYyKInjMAAaFHOBRJqjjL7BxwRzmRQUxrO8Q5v5mbg9xiLHAmyOz6du5Hc39/Jh8NJF7excQPKEfnYes4bq++i0JjSqOHUFjGRc4kUmTAglcegbtdjU75RXecGR2Xzq3a46f32SOJt5j74JgJvTrzJA11y0akMWtNd0Tg6hfcmJpMGGLVrBq5QqWL48makQ7Ru12fBSI+uUJlgaHsWjFKlauWM7y6ChGtBuFMaqdsqDi/r5g+tQqjkve/JSo3Y2AwYMZPGQs67SKb1EA461TOgak3dtL5OQpBIdFEB4axKTJczn00Jl5FVDfj6KOTIZv6C2L5aVKLk2uiotrU5bb3SOYycXlIwjoUZeSsiJ830ls18MI2a8/FCKNe3sjmTwlmLCIcEKDJjF57iEM4r1PXeugEpIusz54OpNGjGbFFZP6VL/gyLwI9j7SO6t0rq2fyeRxw5m09R6ZmU/5feVsgsNCCRwykuhz5h3v9GvrmTl5HMMnbeVeppJnv68gNDiUsKBJTF1xjgRBzZuLPxMRPJvZU4cxNORX6xudlS84tXQqE2aEMXv2Gs7c+5N9R+8YN82nX2P9zKlMCQxix70M4s8uZ3rgTMJCpzJ16Rm0WxBV3Az+Djf9/hkhiWvbFhARMZ0JkUcxqyLhHVc2hxMUOpd54dOZtfYySWb+NY07e8IInBhM6IwQNp1YxE8Fy+Z8/4xRZTEQGrHJPY2hQ4l8uHwewCGTZcfWCY0DPTHJA1K4vXcBQcERzI0MJTh0GUeur7S65Ez9+izLAkcwKWwOEUGjGTAknCMmRtVx2zbLWHvj0JfpgulnaC4m8NeepcyZN4eQMf0ZMGMHpu5SDK24f4jo2aGERUYSPm0oAydvxszFOZmnFWmx6buDxzBgUAgHtA6CCxsXMGdeFEHD+jJk7m+80DcbXaIOZXSqLVsSGhVxO4IYOy6QiZMmERi4lDPO7GfWyfTpHgqgTODRtd0M+9KFPHnd+GnERLoOXkOspkOfzu/DK5A/Tz6Kth3P2K4BrLys7VBnnBrF5+IysM86scXQa1ZweGAJ8uXJi1ujRbpjh1O4ElqPQnnz4VUvkmuGGdE0Xt45z/yW3uTL40r93gPoMO4oT48NpUz+POR1bcxi3ZIpq4Qm8w6r2pTG43/dWXj0Og9eJqNE4M2vo6leKB+uVfqy7aEus9SrRDT0In+xVqzS7ZhKe3mH8/Nb4p0vD671ezOgwziOPj3G0DL5yZPXlcaLn1nTYbNnmRfDmLjxFUqxgXk1ZHjoFKJ+fYImV02nyxu/4DWEB23gum7dQdq+PpT8fBSnDDiISaq4EfwdJXrvy7oMQf2ETZNnczJJzfMlTShUZ46O9Kh5urY1RfJ70313Vicrjjp9XnEEJ83yMRPfcKN+vILWdSZwJpfIDAi8XOqH3LsHe7KKZsgXlFwIrIKLrBaRcRatXPknk6u6IPshzCR8Ni5zQmhSNtDWrQAdfzFx3tnI0lFQq3toVBkk3t9It9Jyvh8cQeTKc7zVQKHgzylfU6D6DJONqmoykx+zvU9ZZJXHo92Lr0apUJB8oD8lXX0JuZFGRkYGGQqlYaBBnZnM4+19KGu2gT+D0+N8qTfpN+J1Tjn94jRqFP6GiactFMEpQgNiPk+PT6CGXMZXE07xVqFLWCT66/yp8O0QtlyPR//YKl5qJQpFMgf6l8TVN4QbaRma8iiUJvqhIzSV/AMJXm4PL4GXewZSxac1qx7qRriFl2zpUp5qo3/HCnUzE0mVkcj9jd0oLf+ewRGRrDz3Voup4k+mfF2Ar8YsJTpsC7d16pK4rw8+hVuw2rAJzkmMVem8vbmQnzzd+Wl4GCH7nvJ8eVPkLpUYpz9wwZLQoOBOeF08K7RkysY/ePBObOiOy6tKf8vNhT/h6f4Tw8NC2Pf0OcubynGpNM6s7FlvrOve/cXNaTYnzqTTns6lKb50jHGArvo+i5s3Y06cycxD+iWm+HZEG9VxWdRKBYrkA/Qv6YpvyA3SRL3PEA/byCq92RMndCzlXDANvunGpkdG5ptxezltqjVl7hU9yzRL1exGeSGQKi4yakXGGdqhNoCK2OlfI5N9R7CDU5rE8qXdjqCOWwVG/JaiKVumSmxTKZwLbsA33TZhFC+D28vbUK3pXPTi5byuRVV6w+4JI9j4JJO7EbXw7rDZ0F60exi+Znqstu5Ud+bSf/p5UmOnU71IXToNGMbyq8ma2YP0g/0oVXksf+hhVN1hbv/pnE+NZXr1ItTr3J/BS2K1xCDjVwb5fE6PKWMZOPsk8WI9in6gWgm677LQp4ybLG1blcYhFzVyCc/W0q28F/K6c3WbolXcmduf6edTiZ1encLVm9Bt8q+8FlTcntcAD7efWCUaPuEFy5vq9s8I7zi7PJT1V95ydmJV5N7d0btWIf4EIS2q03DqCd0gYQr7BrZitr4Ohbf8Nrk2X3XZoBnEJP0C02p5UyAX9s+IemNKaMR2/nyzPyXzu1C+/34dMYOshMY5PdHopfopOwZWp1q3GO7pfXb6X6wfWpOSLuZ7aISXexhYxYfWqx7q2r3Ayy1dKF9tNL+L1eSwbZs1FZMbx75MDKydoamEf2Awyy1scvUZJieHZpxmnG89Jv2mP/U1nYvTalD4m4kYXZxzeZoIabx05Lu/GsPS6DC2GB0EfXwK02L1U6NNcEpGcNyWLQkNKO6EU9ezAi2nbOSPB++0/VKj9Hav3pvQrF37Mzn5syuVsy+FFyz1cyVPnrzIqgZyVq/QooNc5odrnjzkcanMmNNGQy7Er+RH1zzkyV+BUYbeuYo7S1tRumBhvh1/zGAANfshxLCigz6rt2yicNpKyJ8nL66l+7ArCYT4w0z9yZc6PVZwQ9cZtyQ06le/M6tpBap0XMQl05mUtN8ZXlEkJO40X/XabDo2/dAASubLT4URJw0b//Tp5nUtTR9t5hye+hO+dXqwQp+5TQwzOR00kW3vBBRHAygt86HbtpfGPNUPmVfPFXn1yZwz6R8rjgyipFsL1potLVNwsF9Jqk68aByF1uWrvBjC2HUvEEhmV49ieLRcYxw1Uj9kkd+XJvgbhVXfDaemZxtiHLJyNXFz/Gix9JlRdmMyObsS3rCjeym8f1yGYRDPakqZnB5dkfyyOkRZTk0pLzO1mguyb4OsxnT4MCeERnWLyNqFKNt3r8FJOMwnGwGsEhoxvrg0wVeGu28wV02ah2JvT7zljVj01HQYUM29iFq4GQiNVgBRr0q51rS55CzLBn7hJSt+ciefVxe26/mL+gFz67pStO8BQxvRpO4kodGEFV7xc1tvCjZeZFL3Am+2TCL4jNF+aKW29b+CI4NK4VrT3pIzGbLqMzA9nTQLXskHGeDjytczrpp0uEFxJAAfz5asyTKzmVUeTedN5o5v8FWTtqlgb09v8nm2Ys1LY90Ir5bhJ/emh57FZwdjzaZ/F7z8orUdMsULrl2KI1mfvAWhybi3lSljFnP+nT4A4GR5RbtXzsULv2jtklTFi2tcirPoMGaFQuypWOheBts6eeM765rZaXTKizOZvEWvVFYTEntfdPL2ZdY1U51QcnHmZDRRnSwLiiMMKuVKzWwvObOjYxnnCKxagB+ypKmdXSnw3SyzdmqthJmnR1Mxv4w6UfeNnRdNQBXXZn6DzEXcF2NC5qwlIiIu7qFxq8hok+8VZJwLpGqBH7K2deUlJlctwHezjLqa07pWxy1g0MyLZAqvWNPSk1IDf9UNtgm8WvkTBX0COKbZ3qjir/C+zLqiJH1/H4rKPmeIybn3os37zKubYS+l6q9w+s66gjJ9P32Kyig/8CCGSQbFUQJKuVC07Xqe6Emp8iITq7jjt1T0gfp/KZwa9yUe3wdzXW8vVTcJriE3HgKj+ovwvrO4okxnf5+iuFabxAVNv0Yg4fx6FvwSq10BkrKdLoXF/TPPufZzCCsvaXrkPD++nOgD97RlVt9nebOiFGm1xnhgj/CStR1bME/jtwSeb/KnVHF/NhmmdBTs7/MZbrmwf0YstTmhEQnnC7Z2LU3+/GXps0fbYbckNM7riZqHy37C27sN6y1sojjTWNvVlNAkc3CAD65fz+CqqfoqjhDg40nLNa8ct219Ndr4deTLNIRGJqP6jNgsNlneaBF6dym8XMFP7vnw6rIdvTVSP5hLXdei9D1gvjfXUZ42RLXvu/N50mqNSZ9QeMUyPznePfYYBq6zI6P9tmxBaDLusXXKGBafN58dtVkOixf/EkKTj5IWJ328Xd1cQ2jyFe9vfmRy4jpayvOQJ594Aov5NIBarbVGgiKBRzcucPrQdBq45SVPviL02W+qSHpCkwfXZqttLo/SE498xfvxy6l5tC0vx9NvSZYTsDJ/087u5MlfluEW56arH82jniwPsh+MnSR9unlcm7HaMMtkUbM2b9O5efE6KYgjbl8hrzKRi3rjKsZJ20PPIqIhfm5iiMUOQU3k5UdazJyks6WjJ98F/2XW8RKTSf/rAleTxWVrW/Av4k3bn/WjDeLbTE5MHE6MFdmFZ4tpXKiRYZbLZjFQsLdPVVpMXcnq1att/q1Zv5srVvIxSzf9CZcO/UxIHz8adArlmOXcqllg8UbJufGVcJHVzLqZXXmJSeIMzfchWWI59SAnhEbkFk8PMaNdXfwGhLPp6DVemqu2U1nbCmSb0IhLqLISCcWhARR3tey4qLkXmRNCk3UDv+rdPa7c0c46qNPf8uTuH8yqK0PeJsZ8I3N2CI04fry/H6Vcv2Gm3uOpH7Fi0kJumzpAWyBpntvpbIrvNTM0jvFK29uLz/J702NXKiqVyvCnfLqYJm4+DHHiRCCN88ziABUcGlAcWfWZmH2CJ0Fcsiinw2ZjJ91pjDWExfxobDOIDIQmjvgzoTRvEcxVU1Mqmhwny6uxe2azdWY52bmx1D2xI/Qj3i5eVG7al0lz1nHg4hNSBQHB2Pu0np76Ict+9MbFqzJN+05izroDXHySiiDGzUZZPgSh0QxQuRSj30ELgEV7vNWfgi5fMNYw5WC9eMpz46nkIqNmlsMKtP5CJvuGIO0aaesJ6J5mJTQKjgaUxqVYP7KKl85W/4K4fGGcEclpXavu/cZvD9UIL1fR3MOHQb/qdTqVXd2L4OX/i26Jo4p7J07wWK3k4sQquNeOwjjZruKvkO9x/3aWdnms2HTvneDEYzXKixOp4mZu99VxkdR2Ewc9jUZXeL2a5oV8GHzM+EwdN4/6BdzxW/LU6FvfbaS9V3H6HtDJqbrHiROPUesIUZ05lsRSC3DmieGUk31Oy1FTWX7GuJzbtFLSDg/Ex6U4vXbFk/Qqjj+PbiQswJ9+iy9r7WT6SUZ+LsNn0K9GYq+6QXANt1zZPyPKkoXQiJzm1Q56+OQnv08PdrwSLGZosqEnqr8I/k6GrP58k0EoLQLqxwtoYEpo0vbS67P8ePfYRaqJTVUpn7K4iRs+Q46LLNxu2zbF1tq1I3Jhzya7mvTvxJUv7+5d4Y5myYOa9LdPuPvHLOrK5LSJMTuqA0d5WpNT88yeL5JVZ6a5g2BtCznyDpuNepINGe23ZSOhiYs/Q2jzFgRbOgibhcj64l9CaPJTcfQZs6kpPaHJX95i+ZINQiMkXuOXoD74VS9PuS8b0WnodOYsGsIPcnuEJh9F+uw3HxU2wVhPPPLKCuHl40NJ97zkdSlHj+3aNfr6oGmb2+OWVyRZHlTx88ff3/KvE91nHDDMcOjTzVekD2Y8S5+gM7/qJyxq6EaJ/ocMrFuMpjw7li/kFssKhKcs8StA0V57DSMG2izS+aWjB98E6T9caJmxwNuN7fHy7sBGw3CWOHz3hBXTo63uu1E/WUiDgpaj+5bpivcZ7OldhaZj57FgwQKbfwujN3LOYvQmS2opDzi9PZpA/wY06buY86ayZgksPlBxe7YvMlmNrMsvlGcZV8kFV78lVmM6fJhTQvPiOGHdmtC090xW7j7HY8NspcMcHQZwRGh8Bh8za3t6QhN2Rz9cKWZh2anUZuvIIKvvZSU0KF9wekUg/Xr0Z9SM+azfuY0JtbSExmy8PpuEhsxzjK/iSvlhv2sMt+raHCavNyX2jqByjtDYx0vg6aJGuOYrTMPRC4mOjjb/WxrDaYeEW7e8wdW8QwVaQuP6QxhmVaMjNO1NCI3TGGsIi5zaWZYo6bDSvHfl8x/7MTSgNZ+7f0HAobfGDh3Ol1dj9+S1sy7zdFQt1nRPeMPZRQNoXLkIrnnzkievjNKNJnPYZObKVrLCm7MsGtCYykVcyZs3D3llpWk0+TAvBefLkvuERuBZdGNcrQyKieXQzDjkk9Nqvf3TKPWjyDWCLT/+qu34u8gastAwDWELISszNMIzohu7kr/scCzG7ETpNLMC+eSt0IuX87oWZRJ4sfInPMoEcFTPZzJPM6qCO40Wm5AJMaj6AXPquPPlFJMlP+rHLGxYIEufQrRhD+bUwf3LKSbLaQXerGtFoZIDOGRic5O2daZIkS5sNxgkNXfCfkAmq8Mck1l90f6V9mjFOotvc6kfzKGOu60jflXcmPUt8jJNCRjag3b+o1j9Z6JJmxILlslvQ8vg4lWPEQuXsHz1Rvae+otX6UbGniHm7VKE7rv08wAgPF+KX4H3+P6MhUpYIzRi/cTv6UPZ/Pkp3XUrD7aanHKWHT3J2E13r7zI224wH8gSq9WC0AhPF9HINR+FG45moaVNjV5KzOkXGsltt22Lglm5deTLtITGOZusfHGaFYH96NF/FDPmr2fntgnU0hAag0JpJHCUpxUxtY90hMa+L9LHTtASmvamhAacldF+W9YSGtfPf6Tf0ABaf+7OFwGHbE4S6CWy9SsRGs2IwR4GVpKTN58Xdaef0q6BFRETlxcUtE9oig845JDQ5C/diQ2P0ri3shXF8+Uhn3cj5lw3Wr/M40PwyS8ugyvLMCeOLzQQmvf5YGfiZjp6edBug+kaMjVxkbWQlzMngeon0TQpUIyeu7WNyTiKqV1yVmmMOZk0KlsqO7sVpkDz1QYyJr5TP11D0FLrI0+qG7OoUag1P9v3u5oO8t2IJrRZZTI1asw4Z1eqR6xq+RmftV3v8LjK1B1d8XYpzwjLzT6KvfQq7EKpgCM5kyEnhEZc313Pk/IDDhiXQVjkrkpNItXpmQbzyH8noVHF7WOvyeboLIRGdZ/1Hcvg7TuJk4aZN53BbRNjWC6qKUF2CY1IVMN+wK1oN7a/S+NE8HT2OtRDU6wsCY2KuH17dYccGGdoHDmR5M0dKJTvM4tZYdN8HF9nx3liSWiyg7FhBsbGyYQ6wvN90DUyhBTOTv6WQmV7ssOEODhbXo3dc6vDnGx/gc2STKt5evMv3eEtAhnxtzm1cRotyskp3n2nfXDVT7n5l67zKGQQf/sUG6e1oJy8ON13JuJsWbIQGlUc+/aaHCBhUwrbOpYY05YC+Uow4HDWGZqMnV3xyOdFt136Hr6NDFJ30NXbhfIjTpoNUoik42C/YrhYrniwkUzWGZpEYtoWIF+JAWQVL4OdXT3I59UNvXg5r2tRoARi2npQvO8Bw4iyuATze7evmSHOvgpqw3I64e3PtPEoyYDDRn+sfryIRgX1R++rMXxHWHjLz208KDngsMkgYDr7+xajUOv1Jp2wZHZ2L0qRTlsQvat25Uc62zoV0uz50m8vE2f6L0+tZpgd0q8QETv8b39ug0eJ/mYkyQC18Jylfu6UGnQEBWqex7SnWPGubNcNxKk1Aifxc2s5sjrWD+zRLsOsiczVj6Umh50kb+2Mt37/jFptQZIMEjh9YZ3QiJ2uN+zvXx6X/CVp49+VsYZ+Tzb0JPM4Q3zy49psVZal1paEhuTNdCiUj8/sDEDjoG07KrQlubD0Zc7aZNX99XQs443vpJNGndLZ6DYWe/wc5WlT5vckNNmR0X5b1hIa+fdBXMsQSDk7mW8LlaXnjpz16yRCI47miBvB8+YhX9E+7DfaNUj8mdZ2l5zlwxlCY1jiIbzl16FVNCOC8v8N54i+Q5Z2jCHltZv6689/aDC2emUUXuxh+vTd6O2ORkHe8/s2muUJ8rrMNe0cCPGsbVmIwl13mIx4qLk/tx7uJfuyP1UcwVnLzOh7OtFUXJ9Vg+K9rBwKIIZQ3SLkezeqTv7TZM1oJlcWBLPVsGZXX0rtb+bpUXxRfhgG+2b+2uxO/WAJLetP55JpnZmFyO6N7lCAIr0dznwJL9fQ0tODjpvNR0yEZ9E0lhehyzZToqgkNSXDOeeQE0KTHEMbuTsdNptsejIUXc2TTd0oL8+HvEJ3Nhs2fhsCOLz4kIQm89hgfOQ/oJ/NyTwVTNAhY4fMktBolme6FKfPfpOyCi9Y4ueqWXKWrIxlwTzdh+ayTWhE/V5Fc08PmoYvZkroGZOOi0OYNKOixwb7IDfMgGRyKjjIuOTVSScivFij+biqb9idLEs5lbcOcuiuY2bqrPPUlMqC0GRT8Ti7AAAgAElEQVQLY6cIjTvNV7/VApgRS2htT0p13GBY1+9see07Rnv1Y0loUtnUvUOWvUgZJ0dQ6dsZ9hKC1E1077DG5GO6YvAMTo6oxLczruJsWcg8xmAfOT+E3dHa+8xTBAfZHhwzCpWJLR1TP1lG00JymkRb7ivUzg64erdngw27a0hfeKnZe+Jhsple806/jt5/s81BE0MaYic+yx4aNU+WNaWQvAnRlt8ZU98h7AdXvNtvMAx85byuxWUG5xhfWVw2re8U6ffPDOa4QsmfMwcyXzdLIm7+L+HZlg0Jeum1/q5A5XGczRR4u2k4E/VLPNMP0q+EJ22NgXV5id9ZMhmgS9xOl6LF6SHub1WcZPLIDbwVUtniXwh5i7UYs7qvmR3SfERZcYIJg/X7TNM52K8EHm1jjGH14om/ydvo7O1Fx83a0RblpUlUda/HvEdqhNfrGTpJJKPp7OjqhZu12YtX17j2QqmZMZKXGcpvhlVx6RwJ8MFd3D+jes3PARPQrJgTMkhNN51tNxXG/rXiwFjGWuz70McQEg4RUFE85bKMyUBudvQkmb29SyCzXDYv6t+j+dQ3XXImvGBNKy9kvmHcsTSfylscPHTXYdvWy23r15Evc84m62bWivfB3MUtwc9VXHKWjDJ2AfN+1fpIR3naklW//NnR4Jo2vuUMTTZlFL/HaHMgSkto3JuvRushMogNrY1nqY5syEFfRSI0on3Y3ZNi+fKQ160ukXf0G0pSuRLlT9WSMvLm9aBdjOkyCW0liKeoZYvQiNqREUtIrYLkzZOPEq2WcUvTGRd4dWAIVd3zkr9sFzbcN+nQJZxnTvMqNIi8bhgxe39Co+TKNGv7Z8R1pu40Xa53BKLA4vrmQhTtvZc0lFxfMInVD43GLX1fb0rZOLYZ4RWrmnnwP5NDAxQ3VjJz9V+Gslg2uLdrW1K45RrDCVaW783vFVyf14xafTZjApl5kGzeab5D42ncDGo7ejJHh3xBqe47TT4UJvBydQs++2YK5w0DoSpuhNWioEspOm1+bjs5/Zv0HXTxdOFzm7Ne+oAmv5oOqQdddlhjdilsau9OXvGAjLwF6LDZuLzAJAW7lxl7euCd14Wvpl0x72Br1lu7UnKg+ZeqNQTI1fJIa+0yPbnJOnkxU3VcFLXdxCUOos4LvNk4k3n6E3g0kxqz8ZUb1/5nHOhLUZeS9D9oJDTqJxsZUO0z3ESjqDhJ8CydPBoCIc+ydETjWOTmG5aNACSyq0dxXArVJeIvS89nDGX9Sk1cVG3cxE6Cpjhv2DhzHobiOI2XgmtRDSjyxSAO6Qc9xAxVD1g5ZDIme5etiyEGvRFMDdeSDNQ5Pm1AcWlPEWTfBWNaNO1BKXLabtTqRrYw1oySyqkZcS/LQIwmT817N35cYTzsRHFlOt+4FsFv/g0dYXSuvJqZbHlNIu4Z7Y9NAMxeWOpeKhvbe1Mz1GhTxeDpx4fxfY8dZjGz3KRupL13TUKvG3qBGht5fNj39NghdjCdKwvqOKJqu1Fm6G+aGX7hzUZmzrNc5pUld7HF2NGxdC4F16Lo9zP402B/RAd3ktFVi9Fo7g2bdtc0p+SjQ/iiZFe2m4zJCK/X0abo1wSeNbY70ziW15qBCHk58z2h6ZcIrlWU72f8aZg5EeMlnxxN1WKNmGtyoE3O61pU/limf12Idht1+w1UD4j288St+RoSMi8T1DtM1ya1p1W615tnsq9V9HcelB95kkxxT8XgGZzVuWPNCXAicTDxf+L+mVpuVZl0Sd9vAPFghc+9/fklSeDdnrGM2SHucVFzJ7I2Xi3W6EiKikcbulJO7kmnbakoTgXSL/qRtg0pLxBYxYIkmQCc+fswyro3YpFu6Z84CPh5CXFvksCrmNHMOC36AYFXP7elaE3z5aXKJ7sY5T+KvS8EMo4PoXy5Iej5WurFUOqJH3UOvEDmmxgGDd9Hiuov5jb0Rla8M784IsMmMmov1Txe3JwWi59Ytw0IvDsyhEqupoRGbE7O64nq3nKalyhPv33m/bPbi/zwzudB5+3GhqC4FkWDIl8wyGzJq4oHK4cwWTSqDtt2lgKaPXDoy+zYZFffULRfgMjgQN+iuJTsj9HFqXmycQDVPnPTDAwpTgYzS2fXHeVpJqDpjT1fJJ5kaO4gWPmjK/K2G3VbDrIno/22nMnxIT64/bjCMJiB4grTv3GliN98bljr0piWw+L6kyU06oeL+Kl4Ebw9C+Hh4UEhr8IU/d8ofst4xorWJSji7UkhDw88CnlRuGgVRhzLIH5dB0oW8cazkAceHoXwKvwZFQIOohBeczKqF/U+98b9s69o3rUH/q1bM3DRWf7aOQzfUgWR5ZfhUWUMv//fY4yoUpTCXoXw8PTEq0gJSpf0oY/Zp+UzOTaiCkWLeGlk8/DwpkgxX6ZfVKK6FU5tDznuBQvhUagABT2L022LaHgFEi6tZlTLrylZxIdvGjWjWZMf+Lp6EwKWXUR7KJAu3cJeFPLwxNOrCCVKl8Snz85sjiQnsK5lAcpafPVZFTudrwvWY67JGl/RgT5a045q7cL4ZekUpsTcNnOKQvw6WpfyRzdYZKFekPJnFC182zJry0H2roskaMERntnsJ2bw66By1I2y0TnKkroI2zsuLPDHt1Y3gtYd5OzNZyQbfYu1GHafOfthTU0iyReIalWXLov+4FlKEg+PhdKmjj/LzE5AUhO3vBWlPytD5YFbbeQt8PpQKAEDB9Djp68o4eWJdxlf2vUZwMCAxZwz8lvr8XWEpquZDuqDCrw+MBrfYh4U8x3DQf1Zx/rXNn8F4g/PJmBAb1rVKIWXpyfeFevRqe8Ahi7/k6Qz8+nXqQFfeHvg6eNLu96z2P/8CXtm9KbN9z54ehSmUsNO9Ft4jkzFORb270zDSoXx8CpPbf8hrNYvKxOSOBPUkCqNx7JqwwImztypOylIwbmF/encsBKFPbwoX9ufIauvgfI+W4fW5fNvuxK59TCHtiwhJGI7V8+FU9+nGm0DxrD4j2QU5xbSv3NDKhX2wKt8bTr2DeXXNxkWaXakb+ivWRDIODmK6s2XG06dyRLAzgMh6QxBDavQeOwqNiyYyMydWmeenh28xPSFRC4t7YefX2+CVm5lx4aFTBsZyJqrjghpOmfm96NTgy/w9vDEx7cdvWft5/mTPczo3YbvfTzx8K5Ew879WXQujWtrhtOt6ZcU9fCkRPXmdB+70UmME4k/HEKf9j9Q1tODwl/Ux79nf+ae0ssn6o/uvZcnxb5sSrdhq7mmTOX3mbUpXaAAhbzK8G2zocSIM072yivEczikD+1/KKvRqy/q+9Oz/1wMWdmpD6zqXiKb/CvTYshYxofHcPC3Y+xdF0pAz0B2O9ofkrYJ/8otGDJ2POExB/nt2F7WhQbQM3C38YQre2UxyCqQdCaIhlUaM3bVBhZMnMlOR3nr4trSMc1rIYFzi/rSsv1ggpZsZMvaMIa0acmgFZbfHjEIYuUimQtRrajbaQGnn6WQ9PA44e1q0yE61mIPpZWo4pH2i/vTuVFlCnt4Usa3LT36TWe3brRVSDjHor4taT84iCUbt7A2bAhtWg5ixeUk7Qz2+9S1QRw1jzf1wrfldLYd2s7iqVNZumoCNeuPZHXEYMZt1508JjxjceOCmlOnjC5Jzd3FP+LbbwlrZ4wg9Ngb3cy6wLPFjSkonlBoDEzqFn88y+oGMHT5C/E76P1Ne2ZviGLkpF8MZElIPE1QsxaMjdnJz+GBzPzlEgfGfIffxHUEB0zhsG7wQjwYp1EB4/HShmJpLrTfQCtQI9hwYAHJvzOxXhtmbl7M6LExuuOfxZmqOGJ6N8I/dBfHj+xgefBYhkxYxlnNudIiN37M1v6N6RS+ne3LZxI451fOr/Hn+86RrBgXwDxxc7b6AWs7fU7R/w3loOnJhOZCZblTnJ1H91Y1qVjEA48iFanVqgcLzltzzIkcH9uSiadNBwjEw4Qc6IlJjsmxqxjYrBUBoWvZtWcDC4OnELpoFLVkeSlQvh7+47fqMBFIvLSUfn5+9A5aydYdG1g4bSSBa65q9dqZtm2Sb5ZLm77MCZtcuBINO/Vj4blMlPe3MrTu53zbNZKthw+xZUkIEduvci68Pj7V2hIwZjF/6BeG2Mwzi3SGB459kTeVGnam/6JzpF1bw/BuTfmyqAeeJarTvPtYNt5ROSdjon27LZ4MHNKnPT+U9cKz2Jc07TZM0y9I/X0mtUsXoEAhL8p824yhMXcNsju6eG9C4yiDT+u9mozEVzx7kUAOZ1hzp7jKFN48f8qLt2nmI+K5k7omlbQXD3hhHLzQpqx+x6MH8WaERftCReLDG9x8lpp12ZSQwC+dK9Njp76FWREy8y33r14l7q250coSUnGSkVX9WJyDLx9nPDnFhjlTGdajFQ18v6NGjRqav+9qdWGZ6WhDlkzNH2SL0IhRhRQenNzKyuhoVu88x1NLTPXJq++xOGq7/i53f+0SmtzN6sOkJpD2/CZXbr3CZM+q3azUKc+5HXuZG0+SDG1ESE/gbWp2R++zZpN+Mpipu0yGp7MGsf9ESOP5zSvcepWetb3Yj2nlbSbvHlwn9vZL0oz7ea2Ey/1HHxJj29L+HeUVSHrzVmPnVEmPuXbxIlfva+9ty6V7IyTxRmPHVCQ9vsbFi1e5b9OuOS6LkPacm1dumW3WdiiDGMChjmWS8OAGNx8nmiz3dSplfUFJeXCKbSujiV69k7NP0nJBl03yz0zgwY2bPE601sk1Cfcel4r4e1y9GscbndvJePkXV+MSDPZCHERMehzHqywDRgri717n3hvzF0LSY+IsA2e84tGLrLNWqsRH3Lj1wvixTH05hDRe3LnLC4OhU5H46BaPkkzslpDEo7iXNvfmCilPeWgph5DMk9uPSDRJRpulincPr/LnlTu8tGpAlCQ+us2DBGM9KF7f5XaWzoG+AH/zbzb0JDPhPtev3SNeHNXPfMXd67d48CyeZEUWUMh894DrsbfNMclW27aFQ/Z9mfWU1KQ8v03s5Rs8SdIzaIH0hLdkdXG5lad1SWw/zY6MtlPJzTcSoclNNP+jaaWdHkfN9msdbqR3BM+7PX3x7b/PqTXajtLK6ftsExonMxLebidy2R0nQ2czWMIamss9sD5Dk820/oPBM5+dZf/vcdpROuEt2yfP4lQ2p7r/g7BJRZYQkBCQEJAQkBD4aBCQCM1HUxWfsCDCW/YM8GPcKfMz0rNVosyrhDTrxFonl11kK+1sBE79pSMFC3bkF/3KmWzEtR00hT/Cp7PF5GQn22Gz/0azREFemF57zUcUs5/SfzGGdoNj/oIdEM93yLgyj4mrTTb4/hchkcosISAhICEgISAh8IkhIBGaT6zCPlZxhYTjTOw6keMOv+FirQSpXArtxvDdpl9Vthbuwz8TXmzCv2RRflx82+aUf3alUMdtY/EeWxsjs5uaZfg0robXp3CF/uy1+JaBZUjp3joCqRej6NplAnPnBTMlYh+P9TP81oNLTyUEJAQkBCQEJAQkBD4yBCRC85FVyKcsjvLRLoJm7CB7W2AE3hwNZ9rGO9k82ODDIZV+bx+h/TvSedB4ZsX8SdLfvHfBqZIJ8ZxeHcLkIV3pOmIRvz1xsD/JqUT/w4GETDIUH2NF/4frRCq6hICEgISAhICEgJMISITGSaCkYBICEgISAhICEgISAhICEgISAhICHx8CEqH5+OpEkkhCQEJAQkBCQEJAQkBCQEJAQkBCwEkEJELjJFBSMAkBCQEJAQkBCQEJAQkBCQEJAQmBjw8BidB8fHUiSSQhICEgISAhICEgISAhICEgISAh4CQCEqFxEigpmISAhICEgISAhICEgISAhICEgITAx4eARGg+vjqRJJIQkBCQEJAQkBCQEJAQkBCQEJAQcBIBidA4CZQULHcRUKvVuZuglJqEgISAhICEgISAhICEgITAfxKBfymhSeVkRHfaNfejXp1+xDz71DvP6ZyO6kG7Fn7Ur9OHtdn70MtHpNgC8WfmM6BrADMmd6Nekyk5/BDnhy1S6skIurdrjl+9OvSLeUbuaI8ahUL5YQX/u1IXXrF/ehfaNmtM3Tqj2JfiOGO1QsEnW3q1guxX3b+lzdqv2+y3lf92O7CP5qfwViDx/j1e545RBFTc2xPFrKAggpz6C+GXa5mQepKI7u1o7lePOv1i+ORdvN2qF3i1fzpd2jajcd06jHLG4NpNz/JlCifC9f2l/sQ8+3i+x5VyItzgi/vHPOPjkcwSQ929ma+w7gPST0fRo10L/OrXoc/ax/b7FznwtTYk+wQev78efvqEJv0pD19m7SoJyhQerO1IUXkd5jzINev7jymFWJ5HGzpTwrUm4Xc/zfKoH6+kRckfCLmhJGlzBwrlL8uw38UPQqbz9OHLf6DDayNfQUnKg7V0LCqnzpwH9g2OUxqh5NKMbyggr8TI42lOxfjYA6kzE7kR2Qh3eSvWJ9mXVnlpBt8UkFNp5HH+udLbqGv7ooPyEjO+KYC80kiyW3UfZ5vNIQ622mi22sp/ux04UrX3e5/TenUyV3U6b+6eYuOMtnzh5ceyl7nVtUxlcwdPyjSbzNoDZ7h84xa3b19hbTcf8ufzpuXCS9y+c5ubsWc5sjEY/8peNFr0FAEBZcoD1nYsirzOHP4FLt5+RagzSbwRSSN3Oa0cGVz7KVl9K2QmE7eyLYVd6zHv4UfUvxAySY5bSdvCrtSb9zAXfLHV4ufOQyu+wqoPEG3mow10LuFKzfC7DsuUHV+bOwX551J5Xz385AmN8uIMxqx/a7UGlH9Opqr7v4PQiAVUxU7na/dPldAIPF/iR8FqU7ks8k91AnHXH5Ei+kXlRWaMWY/1WrRatbnz0F6+yj+ZXNU9lwiNiqthtfEuVI3AU+m5I/tHkIriYD+KuTkmNKqrYdT2LkS1wFP8Y6W3V9f2sFRdJay2N4WqBZKTqvvo2mxOcbAXz+m28t9uB/bU7L3f2auf901cdYN1Y4YQGBnDzmn1kbn6sfRFLhEa9WMWderHrkRTIVVcnfE1svw+DDkuDngZ/6WfGEO7mbGoNI+U/Dm5Ku7/BUIjlldxkH7F3D4IoRGTV54bTyW3j4zQaAVjfCW3j5/Q2PAVVn2AKpbpX7s7RWi0Ve+crxXDfur/3kcPP3FCI/B0SQs6rLHeFRYJzZf/JkJzdcYnTGhU3AiuQYEGC7BcMSc8XUKLDmv+dkJjN1+xk/ZlbhGaT93EWJffWUJjPfbf+9RuXX9AUVQfWZvNKQ524/3H28rH0A7s1k8u6nfC2hbIc5PQKC8TPG4t8Wb8yDahIX0nYyccQ0tzRELzpURocql+xY5k5Y+V0FT+BAiNjXqw6gNUV5khERqriL2PHn7ahCbtItNqeNJ8tURorGrGR/XQFqFJ4+K0Gng2X/03ExoH+f7HO2nOqM7H0JFzRk5wUNfOJZKjUFadWY5Syo1IOcXBQbz/eFv559uBg/rJDdXRpZHrhEZxjKCgYyjMZLRDaJQXmDV1m27pqkRozGB7z5v36Ui+Z9b2oyvPMV4iNE6thrAP5Kfx9n308BMlNCru751FT9+i5M+bn7KN+zF48GAGDwtm7xPj+k/DDE3cKy5uWsDceVFMH9qXEUvO8sZsRAiUz39jwdhRTIuYQ9jUoQwYv5bYJG2g1DPz6delPS38mjB27zveXNzE/KgoIqYNpf+Y1fyZJCAk32RXdBRz5wQzsl8A4YefmO0JUT07yuKQCKJXrGLl8uUsXTyLfr2iuKqdOxcnfHn+2wLGjppGxJwwpg4dwPi1sehE0GiieedIxfWYSYwdH8jEwPGMHTWG6DPJ2nC3f2HamLFMEJ9P+4VbmjwcpK96xtHFIUREr2DVyuUsX7qYWf16EWUU0GZrSLuzh4WzZxMeGUloYABDIo7y1HSlQMZ5lo4IoMsPRZGVrkdPsa5GRHPq/+xlVk9fiubPS/6yjeknPh88jOC9T0zWldqRW3jN4eDedGrbDL/Ws/njTSybImYysmc3ph96blNe1X0n8jV00uJ4dXETC+bOI2r6UPqOWMJZS+WxW3cqrq8ZRreOrWjqN4gYjX4KvD4cTO9ObWnm15rZf7whdlMEM0f2pNv0Qzw3qnCWMuSGLood/Dt7FjJ7djiRkaEEBgwh4uhT3ainmKVz8ll25NLPr2Dc2PEETprExMAw9j5Uo7q+hmHdOtKqqR+DYnT1mnqG+f260L6FH03G7uXdm4tsmh9FVMR0hvYdwZKzbyw2f6p5c34V0yfOZHbwJMbNXMvx37eyIHw2Q/1qELDvnUV4I2x269qR/qius2ZYNzq2aorfoBhMTAuk3WHPwtnMDo8kMjSQgCERHDVTeq0M5m1WfKbi2dHFhEREs2LVSpYvX8riWf3oFXVVt4zGKLv5lRPxlM/5bcFYRk2LYE7YVIYOGM/a2CQNNnZxMM/I7M6peE61FWvtQMzKiXKZSaS7salD0xjafwyr/0xCEJK5uSuaqLlzCB7Zj4Dwwzwx227pqB2A8Powwb070baZH61n/8Gb2E1EzBxJz27TOaRrqM60A43UdurHmXysweBU/QjJ3NgSyqRpIYRHhBEyfSJBay/x1o6dsZaX+CzXCY3VjOwQGrPwRkIT9+oimxbMZV6ULRti38ebJWt6kyt6JpoL+z7Sqfq3XHKWfp4V48YyPnASkyYGErZXt8fEjp4ZiiYkcm1bFEHBkcyNCCE4chPnDo11bobGJia2sReSb7AldBLTQsKJCAth+sQg1l56a+Ln9ZIJJF7bRlRQMJFzIwgJjmTTuUOMtUJo7PXZcmpXlLHrGD9a7DsFMn7MKALXX+Hm1umMGTuBwMBxjBkdzJ5HatSP9xIyZgzjAycwbtxS/nhn21dk9QGi2cvZDM2au2eJmTeH+XNCmDZxCnN338LamTz2sdFjbfEr1mv/rnRo1ZQmvVZwR9dvvLZ6KN39W/NTkzaEndcbUCfs9ofWQwvxxdtPlNCAWqlAkbiVLp5yflr+nIyMDDIUmahMiIqG0LjVoPvEmfx8M1VTfOHNZvyLlqSnyaJd9dMt9KhYkZ47X+k6RgpuzK5DmZYrtZsNVRm8u7uK9p+50WRUFKEbbqJJTXjDZv+ilOgcQXTwYs691RGg40Op6N2Upfq1Vep7zG/ejmVPjcIJ8Tvo1TCQcxr9UPN0Sw8qVuzJzle6MIobzK5ThpYrjZvSLRuGWpHEoz0BVHaR02jObVL05Ej5lnNTf6BCm/mcfpKCCkfpq7k3vzntlombLXX/hHh29GpIoFZA/dOsv6lHGebrx+xzidq4whv29ClPqTZreWRwmGqUilQuz/gGtxpBxKaKdaVErVaiUCSytYsn8p+W81yswwwFmYZKdCS3gDItntjZ9SlQrC0jQ+ZzKv4CE//ngluzVVll1T9xmK/IL8UlZ27U6D6RmT+b13fJnrswLvl2JCOI9XR/fSeKmxzoICjTiI+dTf0CxWg7MoT5p+K5MPF/uLg1Y5X5+gu91Nrf99VFIPXoMHz9ZnMuUVvbwps99ClfijZrHxkcjDPyWXbkSDrIgHJF8R2wiMM3X5Mu1r9aQdL99XQqbroBUkXGu7usav8Zbk1GERW6AW3zFHiz2Z+iJXuarKkXeHswgMoVerDjtSivwOstnSnl04Odb5Q8OrCYTbF2jhqwW9eO9EeNIuk+6zsVx7VmOMazOFI5OswXv9nn0EIo8GZPH8qXasNao9Jr6itLm703n+btlmE0BQLxO3rRMPCc2QCIeaWD2lE89VO29KhIxZ47MZqQ2dQp05KV4o5puzhY5mZy70w8J9uKtXbgsFwmophfOtChEp2JiA5m8bm3WruUepyhFb1putR4qpAz7QBBSVp8LLPrF6BY25GEzD9F/IWJ/M/FjWar4jUiOdcOHNSPE/mYl19356h+hEROTK7Fd4P28VJvj4V3nBhfixqD9xl0xWraVh5+jITGrUZ3Js782Y4NAYc+3kpZtY/eX89wxkc6U/+WhIYkDg4oR1HfASw6fJPXosF1ZAfEQqkesKlHNb4L2MNTXf9UiD/B7HZV8HDqUAAHmJjZbxASTzC51ncM2vfS6F/enWB8rRoM3qfvc2kE48GmHlT7LoA9RsE4MbsdVTzMDwVwVJ85tiuqDN7eXErrz1wo03cHT1NVqDOTuBfTBR/X6kw8Ha/zaync39Kbz8t0YPG5Z6QJtnyFyF2sbBXICaGR+VBv9AZu6d2d4i5rOlahxuhfzZZsOsLGpqqjIiPxPqvaeiP7ahpXdP1JtSKZx7sHUlFWikFHtHOpDvH9W/Qwa0k+WUKjKUrGLrp5ye0vOZO502CBkRSgjiOylhsVR5/RjUi/Y3evkpqTUu7rDb7YbXq+BL8CVQi8oGvxotOuKsPDLxrjISBq4iJrIZN9zdRLJlMSST/T2s2LbrsytIinb6VT0YbMvWsShlR2zAjhopj8u930KimeqHXf0ODFjpu4ib5AlUD0IlhtGOp7RNVxp3jP3RgPm1JxI3Isy/SdK4fpp7O1U1Eazr1rMkoPqTtmEKIRMKvi6J+oHy+koTw/pQKOGJYNZJ4YQTnxdDlTQNEuOXP/PkQ3Y6RPIYNd3byQW1ty5lBubRqaDoW8OF02iSP7Ain3/+TaC/NFDPrcjL928hUDaTppMtwbLDA5QUdb324VR3NGX5VOymh1Y6DGQckp3mWTZsZQSLnPn9deGHA0ympx9T66iJrHCxsiz1+KAJ1xgkxOjCiXpQ1oN6Hals+sIyckciF6DNO2388qv9UNkNoNvTIPP6KNDQp1XCS13CoyWg+w8Jylfm64tdtoHIlKFNuXG35LnxsJuAVE5rf269q+/qiInf417qaERv2YhQ3l5C8VgBHCE4woZ9mGszqz9K2dKNpwLuamYAczQi7aJTSO4r3b3YuSlm1OeM4SvwJUCbygg8M+DuaYmfex/NUAACAASURBVN45iOdsWxH7UhYHmzgql6kUWa/t6JBMxtdTL5nYsyR+bu2GV7ddaK1yNtoBCg72K4a8eBc2ibOzQgr3/7yG3sQ40w6cqx/7+WQtv/6J7fpJOzmKSgUbE21k0JpIQsImOhYuTa/dCfpEnPr9GAmNzL0BC0yOOctiQ3DSx9tE4H30DJz3kQ7q34zQCCReiGbMtO3cN3F1jvVMTdzCxngW72EyaKQtuOLQAIrLnT0UwA4mpvabNE6OqkTBxtEmgzhifgIJmzpSuHQvdidoB9bUcQtp7FmcHiaDzRrJFIcYUFxuciiA4/p8P7uSxsH+pXCvNxdDFyZlC/6e3nTclGDwOcqLoUyIeWm4F2eFsvgKzWRMLhEa11pE3DPppIrjhffnUMfNh3779UOsjrGxqeaaF0ouTqyC3ITQiI/VjxfQQG4kNI7w/fv00Lw0/35CI6/MeNNZBvVjFjSQUyrgqLbjlbqTbt4u+Aw+SrpKhUr/l/47w8u58+OK11rENE5bTuXxpiOpah4vaIC8SG/2mRgVMn6hg1xO+006Kq2+x8LGnsgKV6NVwHQWbjrK9VcZCIK2Iafu7Ia3iw+Dj6Yb81epSP99OOXcf2SFZmQ6a+dIK5jA85XN8PBqw3r90GzmeUInbjawdsfp/z/uiUZOVphqrQKYvnATR6+/IkMQ6YGjf0re3o4lTjNUrSI1/hE3twdQybUqky/pyKAmiewTGsdya6XTdChcaxJhHEJ3JDRguxOgiWyvvksFcFRX387KaJWMahyUKzUjHB/daFYge7I50kUxIeVbbsfGaWcXVKnEP7rJ9oBKuFadjFmVOZDP0JF7+4S9I5vQY/0L6/pidTRKdIhfIq88XjdLqS2h3nAG6AFW3yeqjowCHX8xHvmcvhX/AjJqRcaZDACYIWRxY7+u7euPdvmLGaHRQHib2DjtrKQqNZ5HN7cTUMmVqpMvmRETy3pX3xOdtozC1VoRMH0hm45e51WGgM4UWMhtvLUfL5Wd3bxx8RnM0XQTG6ZK5/fh5XD/cYUuIfs4GHOzvHIQz54+mrQVMdXcwkMroT0dKkJvc6PMLx3kyNtvMuqRs+1AR2hca0aYzNIZMXLcDpytH22H1lY+xhwtr2zVTzoH+xVHVm4EJ/UDMPqoqhsE15Dh0X6j/olTvx8joXFoQ5z18TYReE89w1kf6aD+DYTmLU/2jqRJj/WYHzbnhJ6prjKzugzXZquyLLvPPDYYn2wRGifsd/pB+hWXUW7ESZPBBS3QqhvB1JB50H7jO9EycHVmdWSuzVhluaQ78xiDfUwIjRP1ad9e2qxow4v0Xwfh41bL0KdIPTSZNrUqULhdjA63TM6HTmGbjozpSqQ5nc/SV1jaPE1Yqz7RkH2WC42NkTdggX7Vjz6E8g/GfO6Cl/8v2idOYKOPav1Xp+sOCI19fP9OPTQvxX+A0HzFNP3cmVh2PaEZpJ1RUD+aRz1Zfkr8GMii6GiiTf+WLGf/Ld0si85pfzXtisladx2hKTXIOFIr5qEjNO02ape5abJ9fZI5vetRwUtG3jx5yFuwCv5LrpCKmkfz6iHLX4IfAxeZ5x8dzZLl+9GLYLVhiIm/20aXzwrQcKF2DW3akRlMO6DdT4Oz6atfc3JOb+pV8EKWNw958hakiv8SrhiLIOZk9V/mk+MsGtOHnoPGEbxkE7uW9eJz1/8xyax3nF1C4zwu2g5FS9aKdtHpf7Y6AboEnKpv52W0Wnc6B9Uye4LrZo/k5FQXxRmZJ8cXMaZPTwaNC2bJ/2fvPKB7vP7H35JFjVhFU1VKSr9aKtXaTWhtKgSxR8SmkoYYmSJix1Zqq71qtHpaatbMEbEdYh0jHIn8yeck+X0+z3n9z2ePfMbzIVS4PUfzPM/njvd9ve993/t+7nhWbWJej6q4fRpmxaHxwJZ8Gu6un9F64GB6f1uekg3iOGPq2Ot1YdV4yzOc6vp7ed53lKs+kgO6tHOOhfFZqabMuKhfY6nPyNZf+7q2X3+sOzTk3GDvrJH06j6AH6PmsGrTPHpUdePTMPsOjbo89/cl0LPhx5R0fZd33nmX97z9meOwodmJp7rOtIauFC7fnNBZFjYscQ7zt5/TgbHPwRY9uc6/nPqYtx3YKZdtgXS/yK1D6uAKrUPTfqV2ubAmBZntQOfQeLRagjUT47AdyNaPdkBrKx/bOGzoVXWd6Y1ccfk0TLsSwDQB1VWmNnDF9fMJpk8dXr+WDo2jwZfcPt5m6V+0noG8PtKB/jX9hSuftR7I4N7fUr5kA+JMDa6ceqZYT+dihShhmKk0Fvq5HBqH7KfTyNWFT8PyzkCrrk6lgasrn084rWmf6zsXo1CJrugXthgks3Bo5I3ZXsSuqMXZS3Ald3xizqEkkx0TIvn94Fg+82zDUvUL5pwDRIVvNFl6rpbWel+R1+Zp3uw4f8qZNYdGmULUl6641onS4JLHxkDWyoXcum6H7yuth+ZFeLMcmuyjbPnN+GV3zR4ad/sODY+X0bZoYSoN/ivPGwQzVLIGuLoYlg6N8gYp559o316rnnI7aTfzB39DGY/aRCYpebysLUUNH5k0y9XsxmrD0IR4xp4gL9zrRJGc+4gNY6P4R+eHqX92nL6SGynneaKZ8FDx9HYSu+cP5psyHtSOTDKTwfIm98ICWlcsQ9NJx9G7UBo53Z/Xocnm6JbfNF9+diy3VhrtgNTx91DMZbccBBjz1YSTqW+5MlrVneGNm3GxoLmMNu5kyqaJbVkXyeXCgtZULNOUSccNGtO8WXK34dDY+pCbhnsxPxKvK5HubaR7peL4RJ3QLekxkf2FHBpQnl/A8J596B40ltjJEwjqOoAZBx9Ynw0yydZ4aV/X9uuPlU4q9wILWlekTNNJGBGqN3m6O3RolDdSOK9taKie3iZp93wGf1MGj9qRJNnxz+zHe8yytkUpXGkwmu/UGgtucWWfg0Vgk1sH8Zyoj5btwH65TESweim381VHtnRonGgHeoem9S8my3qNAjluB3L1oxvQ2sjHmKPllQ39/N9DlrTywMV0iaw+qvI8sT6uuDaYqn8i629BdGhk9/E2CbxIPQP5faQD/Wv6i2L4JV5HKd1jY/dKFPeJ4oShr5dRz7J3079CIYr8YDLjrSv3y3BopIdLaOXhYrLE3whZeT4WH1dXGky9qv7IDrv7V6BQkR9Yo98jog9q4dDI0eeL2RV1xtnsG/ox7rUjOfNoKxOi/yFb3Y997knLxXfJ+juScVv1/adeUCt9hZVZaU1oq32iPp28fzU2xppDk3uCsTVdcGs6SxtJ7ng2bxa6Jzbq+vXpNDJZcmaf76ush+YFKeAOzRa6e7rz/SLdqUjpK5k4JcUwgyLLoVHdYF7zYnj4JnLLYn2VlPY3O4/opiic6LTzzNBkLCOw6yrMVitLaSxvV44fVj1DdWMezYt54Jt4y2KQJpH29070IlgOBkxVmXMkFG+36ozcsICwKUkGBuowjtPPYFlgV1aZC0ja8naU+2GVaTYW19nsGVAR14+G8JfJm/ncIyF4a2ZocniwZibLNWBtz9Bs6e6Ju2EKPJ2VE6eQopQjt1Yc+wNSC5ENtwps5asJIlPfjtlqM7Squ//Cocnew4CKrnw05C+TvS65HAnx1s7Q5Dxgzczl2rbgQD419/c9A9ms6VAlHu7oT5VidRh31KJHsmq8bRjOVPO1uuq3XufihzH9snrtsITKfAmxQZv2L+zr2n79ydtJZe8ZQEXXjxhiXukJ8dbO0OQ8WMPM5dq2bKn3jGWBdDVvaEhpy2lX7gf0K1StlcV+PBU35jWnmIcviXmNGH/vPKJL0j4Ha/lqnzmIJ7OtqNPKLx5aueTWIXVoC4fGmXYgw6Gx3w7k6sfBgFZbaCv/t6UfFVdnNqFosXYst5xaerad3u+7UzvC/gsry8wcOjSqbLJNVxpbJiDrXtvmrH1Y0zy6TP3L7ePNEze5k5mPJoZFPcOZPtKB/tX2+H1PArUGF+nhDvpXKUadcUd1yyjl1LPHrO9SBrc8e1kh5/cgPnB2yZmDGRpUV5nZpCjF2i3PM7v5bHtv3nevTYTuTc7j9V0o41aXaO2xrEb+Ob8T9IHJkjMZ+rRvL41J27vKOTCSqu7/Y1jEGGIPq9dsKjkb9SUlm89gxYTx/JbneLG8fYU6fUubp8nTap9oWxqtQ9OI6fp90fqgGWvx9/SgXpxuFl4GG31U63+VJEV8gYdarybtOPdYGDVMDgWwz/dV1kPzUhRsh0ZTKTyoNV775WDlqSlE/Gq03LlHQ/F2r2G+9Ekz1e5O+X67DAO6rGNR1CtVi9BDpjU0k30TBzNfvyss9yih3u7UMFtSouLq1Aa4l+vLTpMBPU9X0M7dnbbLdell/EKbMk2YbrpERnrA0g7fMFFzLHIWx6LqUapWKOYi7GPi4PmGjWm5x8dS06MuMZYNXq1TZQoxPu54erVjll5mg64dpZ/BL23K0GT6RRNHSOLB0g58M1E9HWzrvyw2B5bC5eNh7DOUX0FSYms+9KjGqEMKriVGaadoddOx6jfRyWZvorVGwKPWeE6pnytPMSXiV53xcyS3Vq7sbT0p7dGCn80cMlsy65/by1e9ScKOvsv3Y5ehvPJk1OrOh9jzJoXP3kbP0h60cE5w+7I5qotZmwks5cLHw/YZ6j+KJBJbf4hHtVEcUlwjMWopmm1bDuTTcC8RwAb9G0IpjV8D3sejxlB+1534p6Gde5yxNT3wiT1vUr9yORrqjXsN82VummUI7uXpZwAscXtBKz77IZYVm7awddsOdv3+F4fPP7A/o6pXs+avfV3brz+5HB9bEw+fWPSqy9ocSCmXjxlmrPQokhJp/aEH1UYdQnEtkail9zUvJyzbbMYvbSjTZDrmpmApHb6ZaHKEu5nwmhuH8bKOEVWvFLVCDxkPTwAy901k8PwrugTtc8ibq/6Jg3iy24p6taTahhnbgcNy6UWw+tdeHSpHX3OjzIp27ri3Xa7l40w7IJttPUvj0eJn85dSOplktQNZ+rGfj1UEmod29PP0EOFfvk+TqedN9napSF3choreg9hl2k5tZ6D7ReL+gua4uTZhptkZ5rqfc48T5VOCop8MZY+Mpcq2s8vlWFgNXApVYMBug6G1Etye/k1tCMjq463koH1kLx8H9Qxn+kgH+tfY4xIEGA0uab8G8L5HDYb+rjvNT0Y9y02ZzrdlazByv8l4R3rMH0O9cXX1YZL2vF6bNBwzMWf/9FA4X77fhKnnTUbIqlQWt6mI96BdGKpgbgrTvy1LjZH7TWyYxOM/huLt6orPpAuG/sORPl/MruiKrvn+jQse/ws3Hsx0fhJfFS3H56N3G/fiGUjl7SvUP1n2AZrguj6xrmZJmyEBmxeal4dFPqTLSuMKJPXS8XMJjSn7+Wj2mSzycMTGZiaaHyTSlrahxEdD+Nuw7+4ZB2IbU9GlDD23aTt7h3xfWT00L03BdmiQeLB7FD7e3zN+6VJiQ6axX6PYp+xP6IN//Y/xLO5JlQb+9JlxiMyTCwkO+Bbv0sUp4eVD+55R7NIckSuRdmAqXX1bEBS3lPXrfmZyyHBid97WbDp+uj+BPv71+dizOJ5VGuDfZwaHMk+yMDiAb71LU7yEFz7texG96y6X1obSvcXnlC9RgvK1vqfb6NVcerSMjjXaEDxyNHFLt7Bn90bmhfemX8Jh43dmpDQOTO2Kb4sg4pauZ93PkwkZHqv71kEWB6b3wb9hFTxLlKJ60wCC5h0316T69Ko5flRos4S7FjNN2npqL/0MlnWsQZvgkYyOW8qWPbvZOC+c3v0SOGz6IRyLHNW3ORdW0P+rqvj0mcnGXTtYMTOGOX+cYXP/6nzcpDeDo7ZwO+swM/t0olFVT0qUqkbTLr0ZMOMAWbr0pAe7GeXjzffjl7I0NoRpWiVqf7XHRbrLjsietKvrRYkS5ajZrAu9hi/lrInPYEVkwyNb+crTd0+idumWPdmTERPdFVfrrgtjN17j7o5Ierari1eJEpSr2YwuvYazVIbg8mSzUxeVOVxY0Z+vqvrQZ+ZGdu1YwcyYOfxxZjP9q39Mk96Didpyk9v25DPj/gF1WvcgfFMqualr6F3Dk6LvFafcp03oOvMYWepvOPk3pIpncUpVb0qXsRtJfbKfhD7+1P/Yk+KeVWjg34cZhzI5uTCYgG+9KV28BF4+7ekZtUtzsEXutaX84OVJxY+r8HHlj/iwYimKuLhS8pPvGKNrowal2riwqmuzclipP1nq7+X407CKJ8VLVadpl7FsVG/KzLnAiv5fUdWnDzM37mLHipnEzPmDM5v7U/3jJvQeHMWW2//PapvNWNaRGm2CGTk6jqVb9rB74zzCe/cj4bD2ezE2xEdOPCntAFO7+tIiKI6l69fx8+QQhseaf9fIKgdbmZo8txVPXn1Ut5VU9uttmKEdpMoql4kYxsun8upQr+hd3L20ltDuLfi8fAlKlK/F991Gs/pSlox2cJv/u7uDyJ7tqOtVghLlatKsSy+GLz2rHViZ1R/77UAtuD39SPbyMZba5pUt/agjqO7/TVzXlvgPi2Xh6tXMHd+dVv7j+c38ozw200Z1i62RQfTv24VvvctQsmRpjR3r2z+I8RuvG+MpU0hsXYUP60dySP+Sw/irw6ucI7MJ6t+fvt3b4fOhJyVKlKTi59/TrW9/+gfF86fumHlNQjL1r7ch6tlde328TeFk5mO7nill9ZE3b9upZ0hm/cUHdVrTI3wTqbmprOldA8+i71G83Kc06TpTswfSXj3TllPi8ZGZBH7XgWEJK9mycTFTxo9nZlRnKhZ2oVztNvRfcMomEmQyMbJXcf/vOLq29GdY7EJWr57L+O6t8B//m8V3oUB6fISZgd/RYVgCK7dsZPGU8YyfGUXnioVxKVebNv31B5zY16cce2m7gPpfcjk2phZfhJ8wvgxQXSah0SeaA5z0oTR/rfYV1vsAY59YQtMnBgTN47iJr2eWru4m+7cgfMf8yZFlUUxI+JnNu7ayaFwXWgbEsNdwHrs+pn02+lA2/2YeYVLzL2k9YRW7f9/CkskRJG6fRiv3QhT7pCmdI3Zyeanjfuyl10MrBSjgDo22RNKTmyQnXeaRwaO0UlJZjyQU9y9yOukKD184LZMMpQzSHqlrbC6Prpzi3+NnuZFhY9QtKbh/8TRJVx468QZal1f2fe6kOWgZVtOXyEh7pGm0uY+ucOrf45y9kWF4G2JSEhuXSjJunOXkyXPcfar3pnLJSEuXXwbpCTeTk7hsS4lW5bYhjjOPHeXrVFovoDtn8smPsMoMbpw9yclzdzGqLIO09Pys+C8uqCp1OZ2/6szPF81HSKqsWxyc9QOVP+jBFpO3U3ZzzE9dqycTM25w9uRJzt19algqmpuRhj2EUkYaWlPwiCun/uX42RvYMgWmZXEmnqS4z8XTSVyxZcSel8PzxjMtiMW1M+WyiJo/t/9BO3Con+ctmQP9qPO9lHyBu8+ea93m80r1msV7SX28w1LmQx/pMA/zAI7rmUTWvQucTk4lPRekjFSSz14i9d5jsmwMT8xzcPZOzf4SyRfu4qgKSln3uHA6mVStYKQmn+VS6j0e5xHMuj7zy65ImXe5m6kf02jLm3Xvnu77Y86WP3/CKzNuknLmIvcV5nLlTd06m7zhrD3J5fH1Mxw/cZbb6gGCKo3LSee4ciuNJzkSzvB9lfXwjXBorKlDPBMEBIGCTkDidqIfH/TeYVweZ1qk3IOM8v6SifZ205uGF9eCgCAgCAgCgoAg8EYSEA7NG6lWUShB4M0gkJsUR8NaPdlwy/KVoUTa70P5sm4YB/VrF9+MIotSCAKCgCAgCAgCgoCTBIRD4yQwEVwQEAReJQGJxyeWEtKnN0PHRDFl9nzmTI1m7PC+9BqWyIH7b/PymVepB5GXICAICAKCgCDw+hIQDs3rqxshmSAgCJgRUJH1+AEPn1rO1pgFEjeCgCAgCAgCgoAg8JYREA7NW6ZwUVxBQBAQBAQBQUAQEAQEAUHgTSIgHJo3SZuiLIKAICAICAKCgCAgCAgCgsBbRkA4NG+ZwkVxBQFBQBAQBAQBQUAQEAQEgTeJgHBo3iRtirIIAoKAICAICAKCgCAgCAgCbxkB4dC8ZQoXxRUEBAFBQBAQBAQBQUAQEATeJALCoXmTtCnKIggIAoKAICAICAKCgCAgCLxlBIRD85YpXBRXEBAEBAFBQBAQBAQBQcAegXS2BPdkwQ3xrTN7lF6n3wq8Q6PKzib3lRJ9yr7J3Wjf0o+G9XuyJFVU9leKv6Bn9nQfk7u1p6VfQ+r3XIKoPgVdoc8hvyqb7FdrtJ5DyLczSu6R6XTv0Aq/RvUJmHuBN/mLR6++75RRp5xpG2+rLZXusX18F9p970uD+sGsfyjJAOsgyPOkaaGrrH+mENihpabtdJ1/CbORkUVYB9K8hJ8lnly9yJ0c+UlLaSvwbzyR03mMQDaHpgXSoZUfjet3YFpSngDyM3kDQ0r3tjO+Szu+921A/eD15Ef1lIupQDs0uSejqFvMjSrBe8iUW2JnwiluctVKC5ByM7m2vBPvu9Uj7qJZs3UmdflhbcghPwER0jkCCm5evYMTts+J5CVyM6+xvNP7uNWL41VUHyeEsxP0ZTKxk+2b9lPuSaLqFsOtSjB7XorRkgFM2BPbkKRcnt5YS3cvN2pNOP3GOjQvve+0Tdj2L3bahuLmVSuD0YJqS20jkPuLKiedlKl+FHVvxvz7+eDQAE6laU1XUi6ZqavpWtGN2hFnjG3HWlhdQa3rVS4FGeEkBQ8vH2B1ZEe8Pesz5bLc8ZrEnUXt+HbSeWM5TLKTcp9yc0NvKrlWZ/Thgvp26mX16Spy0lOY6lcU92bzyafqaULf9mWBdmiUyQk0LvUen478k2e2y/jcv+SeiGTY/NtYMxfKU+OpVeTVODT25HjuwomItgnkniBy2HxuW1O87VhO/KLk1PhaFClIDs1LZ+IEvoIcVJlMQuNSvPfpSP58GUZLBhthTxxAUqYQXdfjjXZoXnbf6YCw9Z9tto1cTkQOY75Vg1wAban10jv9NHvPACp45J9DoxZAdpq2dKVMJrK2h7lDYyss9vTqNI68EZQpLPsxmJC4ZWyL8sPN9WviL8l0aFSpJLZozrSrtsOrLk3ma48C7NC81D49mz0DKuAhHJq89fK/eSKR9ktH2s6x4dCcnvCKHBr7cvw3bN7sXKW0X+jYds5LdWhOTyhYDs3LZ/Jm16nXp3TCnjjUhfLcG+/QOGTwOgWQ0vilY1vm2HBoCpotzS+0auej4ktwaF4oTWUyUXUsHBpbBbarV1uRnu951uoOuDvh0KguJ+DXai43bfszqC7FF2iH5uX26WqHpqJwaJ6vur6EWFkniPApiW/if+zQOJDjJZT8LU8yixMRPpT0TRQOjaEmvAomhszExcskIOyJY7rCoXHM6BWGyDoRgU9JXxKFQ2NGvaA7NPb1albUF75xzqFRkhLTlA5L7lldnaMXpmA7NC+7TxcOjb6eyPqrPPsLQ7t1pHVzX3otvqzdgPb0ANP7Bmg2a/kOXc/9hydZOyOeKfERDO4dzNQ/75hvVLOak5IrWyPp8VU5XN4tjFfjngwcOJCBgyawwWT6UamfobnwgJNrZ5EwbQoRg3sTPPVP7lh69co7/D3rR4aFx5EQN54h/UYw7+hDu40F5MkBmaSsiyUsPJq4yXFET/iJCfMPck+/T03DpAs/tG6Gb7e5pGieKzm/chSB/m353teP8L3a3SLS/V1E9eqk2WzYKuofHiWvIyFiJD27hLLpupKnB6bTN6ADrfx8Gbr+Pg9PrmVG/BTiIwbTO3gqf1oWPOsi22bFEBsXT3xsGEFBUey4pjCh/pQD0/sSoN6E6zuU9fcfcnLtDOKnxBMxpB9D5xzSbCjLurKLBQlTSYj9kf79xrPufJZJGupLJXf+nsWPw8KJS4hj/JB+jJh3VLcZzU4eFvpSXtlKZI+vKOfyLoW9GtNTrfeBg5iw4ardeqPl1llzUITv8I1cPvYLE0aMZPTIYIKGR7HyxCOL+Er0bxUvPDjJ2lkJTJtiq45mcXHbLGJi44iPjyUsKIioHdcwpagu/60/ZhMVN5sFixYyf/48EmMG0CXqkMmBGfYYWeA0uZXLJDNlHbFh4UTHTSYuegI/TZjPQUMlNEnQ6qWjMkrc3xVFr87qwxR8Gb7xMsd+mcCIkaMZGRzE8KiVnHikb3TPEbaTegNjK6L+eUTyugQiRvakS+gmruvbkN02lsPxxT8yKuQnfgodzcjhI1l8Qr2m+hmH5+ueh4xi1JQ93Ms9yy9Du9GxdXN8ey1Gu5zbTv10pg04bGsy7clz2SqdUh3KYFX5moeObI8mkIz0nbZRSGSc3cjUiCjip04mOiqOX/7ZT6TVJWcObC35pEvbmDT16uLmWIYMGkX4hAgixocTtfAf7hrqKpCZwrrYMMKj45gcF82EnyYw/+A9w14Aq32nPdkt7KRt8XI5tXQ0I0aFEKpvC/9eYGPkSEaFhBI6eiQjwldzTimRtncaI0f8SGhoCKOn7OJOjpW2obzC1sgefFXOhXcLe9G4p9oeD2TQhA0Yu2JnbKltyZFRt2zFdsb+y6rnGhU6tqd6h2ZuylFWzZjK9KkxjPtpDHFrT5NusVw66+I2ZsXEEhcfT2xYEEFROzDrinWFk5Wm0oqu9HAsZ2ishbWrVyVnlocxanQoP4WGMGrESGb89UgzVlJd3UTUyFGEqJ+HLOGkE1tXnHJolKeY0KgTqxzsZrfl0Dy7uIXJY8YSpekLIwgbO43d17P1hHR/JdJPLScidDwx0eMYPWYmO/7ZwYLJkwjv9BVNJ50ytFdDROkhBxZGMWHkQELXXCBbyuLq7nlMiokjbuIwhkRt55oMJvL6dEe2ziCVjQu9QzOXlKOrmDF1OlNjxvHTjNUE8QAAIABJREFUmDjWnk7PO/Z9kX7HRIKCu4dGlU3GtZV0MduApkTx+BJL/Mvh3nAIcTFLOP1E27LTt/bCq3Qblt6xaOkmMPSXqtxssjM20M3TnSYzrpKlUKDIzkFpElXj0HjUJjBsIotPP9EqKH0rvbxK02bpHaPCVLdY1+MTKgesMTg6uZdm4ufVhKkp9mufQzmkdPaH16dOn43cMnRoTzgysTG1AtfoTtBSosi4xpIfyuD6aRjHdFmqcjK5tWcYNV3fo9M63fBYyuVZWhLx375H6bbDiI7fy73kKL50daPR9OugVPD40hL8y7nTcEgcMUtOo8WbztZeXpRusxQj3mf8NcwH38gDPNJwk3i8K4hPyvox+4JBWJSKx1xa4k8594YMiYthiQXLVjFziU3Yq+uwczgT+SVFa41HM2bUKEzFrXU9+KRyAGv0DlXuJWb6edFkaopmQO8oD4O+VLlkZ2ewoZsn7k1mcDVLgUKRTY6p4vWVxPSvlEvWo/PMbF4Ml4o+9J1+kAcazhJpf4ymbpnq9Fp3w8Sp0XbCHrUDCZu42G4dffbXMHx8IzmghYj0eBdBn5TFb7bxBCbVpRl83ybR5MQ0icc7BvDN4D90Bxs4ZmRaHLNrh0wk0veHU79OHzYaKyFPjkykca1A1sg4xk1OGaXcLB6dn0nzYi5U9OnL9IMPtM6alMYfo+tSpnov1umO13Qu7DPSkuL59r3StB0WTfzeeyRHfYmrWyOmX1eBjDamzH7CnWPz6fSxK27fxJCi8bclMnYO4ONyXzP05784e+cZEiqyM66xsktF3GpHcEbXDBzVT8dtQF5bc2hPXsBWqR04Oe3drG6Z3jiyPXLTd8pGKbm+the1avdjQ6rOMEqPOTw1gM88Xc330MioB+rivLguTaFYXmdxIr4pFT4bzO77Ogc+8yiTmlTGb/ZVTWApfT/h9evQZ+Mt44DoyREmNq5F4JpUrQ2y2nc6lt1gJy3FMrlXKh5xbmF7yrlU1OSXmasi58k1Nvatitsnwfx255lGBinrFntGfMFHbafy19UnqKy2DRW52dlkbOiGp3sTZlzNQqFQkJ2jNPavyLelJmJaXL543ZVt/x3Wc/n2VON8uFbg60E/k/xUV6Tc66wJrEHNvhu5pX/H8+wvhvn4EnlA6xggPWZX0CeU9ZuNSVesSUBemtbtmCYBS4fmOfSqynnCjV3D+MzVlXpRJ3mcoxt4KdM5Fd0QL78o/rj2xFi/LbRp7dYZhybncCj1u28g3VpCJs+sOTSZh6No/HlXVl03ju0UKYm0/ux7ZiQZX0Nm/DmCz7zaseSGthN4emg0NUvUJ/5cLk+OLydxp66tmuSXfSiSH1fcIyc5kjolmzIkZixTdt/Q9vHK88T6lOL7hbdM2oZJZNNLR326TFtnmmTea61D41rhawb9nIyxeq4hsEZN+m68ZRwPvVC/Y55zwXVo1OWwtgEN7SZB12JNmGGyAUy6Mxc/97L03mHpKZsDMdxlb6NHKXf7S85cPaifYHI8oXSHuX7ulO29A30u6Vt6UtH9KyZd0FsXQHrIsrbF8Qr6w5CdzQs7cmTtH0G1oo2ZoR54mf6XuYUe5cvQftkd3dNcToR/hruJQ6P+QXq4mBbuJg6NJrS2IrqVbs8SjXfylOsnTnFTPymiPMX4Wq4UazIDI16JO3P9cC/bGwNe6RZz/DwoVLon2/XtOPcIIdXd+SIiycwYaQ5YcC1GkxmWLN1wrTKIP/StQb1pcVc/3nf/ltm3dEYufQs9K7rz1aQLxgaCxMNlbSnuFcQfOkXYzsNcX5DNth6lcHd6yZmaWwXc6kbrZsH0ClGwf/gnuJbpwIq7eo9Y2wm7etQnwQiRvHVU4tYcPzwKlaanESJHQqrj/kUE+tMis37tRJmGkzmvr3TqrBU7mRDxt9bYyWSklzjvXztMsvYzolpRGs+4bsJfnUImW3qUp0z7ZSZObt6UQV4ZNTGz9zCgght1o1PM6g+K/Qz/xJUyHVZgQOxs2IpulG6/RCvr0+ucOHUTdZWX38bg6dEJ+JSsSt+t95GkR+ydOIhZp/UNR192JcmRtfEwcWjUv9iunzLagBNtDTv25IVslTMy6FHk+WvH9jiTvkwbpbo6h2aeZQlY99hckpz9DP/Y/JQzZ+rBC+nSXBKzO2VKLF8VKYP/6geGQYvq8jQaFnHjf+OOq2sr+0dUo2jjGeTtEnpQvkx7lunfOFntO+3VQ0s7aSaa+U3WHoK83PGJPWdop4rtvShb7DsWGJaNqbg880dmmB3zaL1tZG/rQSl3+0vOHNtScxHN7pypW2YRTW+csf926rkT9lTjfLjVJeac8QWhWiLp9gK+K16WjivvagSUbs3Bz6MQpXtuN8zs5x4Jobr7F0ToOxFdUeSmqV4VYM2OqcdkeffQWA9rV6/SLeZ/VxzP9stNTslScXH2T8y5YjHeMVWDjWv5Do2Cv4d9Q/8dJoMOG2nmcWgUhwipUZSv4i5a9IU5HA7x5j2fGJLVfo6UxtLW72lOALunHxLk/MXgSq58MuqgyaoK04xz2D8xhHWPJbJ/D+IDVy+6rrtrsAOorjDlGw+q/XjYRnzTtNTXtvt0Z2ydZarGe10drxuDefWUuL3gO4qX7chKXWf9Qv2OMUPNVYF3aKw1HvVyHrcqIzhgeu6uZvBejM7r9aNrCxKWt3Y6fnVQzQyNWxVGmGfC4hbuFOu8Xmc4nrKxaykKV+jPzmdKlEr9PwVHw2rgUW+yZa55723KkcVvfcvj4hWMbsWYMa7qGtMauuLhN0f3TDuAtnRosOfQ1I40vEE2JqwpOBNquVFlxAGzY40fLm6Be7HOmOJVPrzAyUuPNY1O+ewBqSlbGVrTjY+G6gbaeunUy/dssPRot8LsSO6cvcF4uX/NZJ0j8HRjV0oVrkD/nc9M+CpRHA2jhkc9Jus6THn6Ugtku6Gbcchzo23A7vUTTJZDaANpOg8XD5rN0zuYWn3IqqPKh1w4eYnHasOnfMaD1BS2Dq2J20dD+VtXv1WXZ+NbwgXPGi3pHz6dFbtPcSdLQtIZS7mM8hTJ8MA2k6zf+lLexYvgvJWQa9Ma4urhxxy982lIz+JCRhk1MdROSkV36idYLgHM1Th5Lh7NmKcfsDkd1o3akSZHjWoydKaNqSPkciGxOWXLtyJq8mjCt5p0OIYiK0mOqpPXoXmBNqBOWm5bs+3QvLitki2DgYXlha4TtGF7ZKevPC3DRik5q5mJ82OewQvWyZN7mNHV3U1maJyrB/ZsjSN7ZknEeK97CeLmxzzDKEj9q8SzR4+1/U3Wb/Qt74JX8F4z26wOpbo2jYauHvjNuaVN0urAU26/ZpTK+pWCPwd/hFvtSJI1Y+1s9k3wp753cXwTdTPVygvMCJ1n4XhZbxt2B766GRpZttS6sJqnsuuWzTScsf+267kz9lTjfLjXJ8G4/k4rncZZdaVIs/k6aZU8vHCSS9pOhGcPUknZOpSabh8xVN+J6EI6k6Y1O2bTobFi8+zrFR6vC6Cs+oWtvny5x4kfv5YHeifApi7y/iDboXm2m6BvBvGH5XuovEnmORQge08QH7iUo89vpm8WtRGfruqAh4s3oUdzQbpF4rduuH2/iDR9WXIP82M1VyoG7TG8DDfPMouz/54hU/PC/n+4e//Ev8ZJIHi6icAyRflugf19P8Y0bfXpztk6Y3qWV7bbgzI5ktquRWg2Xz0eevF+xzTnN9ahkTd4N0VhcW3TkdCG03Ra7p8Spl/DpXn8UOPQvNdpnbaDUV3XOBaFyvkxelYiiYmm/+Ywb9Npi0yt3NqSQ3Wd6Y1ccak2mjzHoEv3WdDcjcKVh+kSdN6h8fCba3zbbSqWZrDgzqdhx8zeBGgcmvc6oV+9pomSc5O/EkfRK7A/IyNns3LTYvp5u/HRECsOjSOWOhm0Do3+uGwV19WD5kLl8Bs9y4JvInPmbeL0E21EWfrSBLXV0HUC2PxjuwFLt2bT1M1F8/ZFJ41mD428OprDzb8SGdUrkP4jI5m9chOL+3nj9tEQg0OjHtQ8+GcavRtVxdP1Xd55512KVGlLwuEMzTInuYxsFs2mk6fi+vRGuLpUs3IWv8T9Bc1xK1yZYftN3yxYy0VOGTVnitpwaCRuzW6Km8snjDqos/I2HRpbYT3wm2vhgDjVxnTlkm6x0r88rjVCOWK1U7Q+aJNfP8G8DejyldnWbDo0+WGr5MpgrQponmnbkE3bIzd9WTZKweZuJSlkabPUclg6NE7WgxfWpVU+CjZ1LUEhi5dGpkFV16fTyNWFaqPzvqWV7i+guVthKg/br41iz6GRaYtN87a8zt4/nCputRh/SglZe4kYv43jsT4UbzyDaypQpkwlbNFN4xtmTQLW24b9ga8zfZullCb3cuuWSRTzS2fsv6167pw9tel8SLeY3dQNl09GGUTMufkXiaN6Edh/JJGzV7JpcT+83T5iiFyHJk+a1nWVnw6Nut4Ef+RGrfGnNGONZ39EEbnb8cyJodAmF3Idmsytfag/6h8bToVJguqXBGannEncSvwWt8KV8jBVx1JsCcSzkAftV6o/PqYi9Zf2VPiwPzt1xVHdmIOfpzfD/3JQPtUNZjXxoHzfnYbZNk36vwfh5eHEsdS2+nQnbZ05EdM7me0hP/odk2yFQ2MCw+zS0pHIPcWWbVcMU4nyOq3HLGtblMIfBPG7ozGdWeYmN7bkkB6ypJUHhc0Gtrp40k1mNXHFtdZ43QPrRl9KW8T3Npac2Tw/XNZgQf3K+CKL2n5AqYZRHNHvUNSs83TPR4cGHi9rS9HCHxDkALA8falxWTo0uZzasg3Hs9y2G7DyfCw+rq58GXXWrj7yzpgpubioLR+UakjUEf1GOiXnY31wN9G78sZZzmVoX/Wont0l+Y/FjGxSHnfvEI2zK5eRTjgrf2wxkXi4pBUehfN2jGon6+asJri66gY1VlLVPpJXRk1Ym06Klomr65dEndUtv3A6rAfN5t83H2A51ca0pZEe7GTcoKEEflaS/436K8/mXM1SDStvK+XXTysOjRNtLY9DY7BrL2irnJHBZl3QDfSsfbvAmfRl2agc9g70orB7O1ZYfuDU0qFxsh68kC5tsslhb7Ba3tb8YmNxv/RwCa08Cuexr+okpZuzaOLqqhkcarJ4yQ4NOYf4sZobNcYcI2P3RCbueYby8hTqF1d/3DCbpCljrOxntT5ItnRock9tYZvBIFvv2/LaUptgneqrbKfijP23Vc+ds6c2HRrVZeK/ccX1yyitqi8uou0HpWgYdcRgjzR9knteuy03TVt27EUcGnO9qkXP5eS4/+FWeTB/PnvI+gmTOfqc4yh5Ds1jfu3WgDFmUx+2NW7u0ED68rYUKVye/rvzztAo1vlTtFApemzT/qa6sphRPfvSvV8o0ZOjGB7Ygwnbrjp2pNJX07FkcdqvMF0mm8WeIC88vp6s/VC3JJn3Y1aLYKNP/z9nxpVWE9Y9tN0eVJfj+cYwHnrBfsdCBOHQWAAx3GbvoHcZd76drdtkpdhMRPS/hlkJeZ2Wihvzm1Ncv8HYkLj6IoNDO/42e2L1xqYcKq7NakrRoq1YYpi31KWQrV2PWXXEP7oHSlKi6+LxaZjZNKXyXAx1TQ8F0IS2ZWz1SamXczieoVFPv1Z09WLg7yZL/DQDDd0MjWIHU2cma9ZYy2Opzd/y7bTqxnyaF9ceWmC5sjbj0A7+1s1Py88jmx29y+D+7Wy0K6UUbI6INuOmI2HxR9+Ap1g4PxL3l7SmuGsNwgyGUmYnnL2HoIqueA383eRtjDaudoZGwY6pMzm0pCudlqWZG7GMjXT74HsWPpCQy8iiQCa3tpmors2iadGitFpikT/Z/DW4Eq5VR/BPXvtuTFtmGTVLV/ROyhTjiwVNQtJ9lrQujmsNk/rtdFgrDg3OtDG1E3+FlWEx7H0koTgdR0PPjwhcb3JAiEZY64M2+fUzr0PjTFvDjj15EVvllAxG7Vtc2bY9TqUvy6GBjE2BlHP9nIkW+wjIVQ/GTZecOVcPXkSXFkDMbjO29KC8a2WG/m3RoKR0Du86oF5XxqymRSnaaolxKYsuhey/BlPJtSoj9I3xZTs05PLvT5/iVn0QEWOi+FPdDaiuM7NJcXyi1hI7dqXJ3gh9Ma23jewdvSljsm9SsTmCaGdtqT4LK3+dqltW4msfOWP/bddzZ+yp3vmYYnDudMJl7aJfBTdqhP2reUG3J6girl4DMe+K1cu8tQ6NYsdUZmrXBmo+rFnRvT7201TnY11XTjk0dvWqLYvqyjQaFS1L5+lTCTc5CEdXUtl/5Dg00oNldGxs3JvqKHFLh0aVOpdmxdzxm5vX5qeol7eW9me1Zqym4urMwUSfVr98k1Cp9OvOHOWIdv+MewOm6pfhqaM83UGfCkVoNE29FFvB31FR7DYZdllP1Vaf7pyts562+qmt9gBZu/pRwU0/HsqHMbKJEAXcoVEPri2/6JzL8TE1ca9uvhRLO+VeFP9fra4DMUGiu1SeJaqOO94hRzROjOrSbCKWGpek5B4fQ013i6/E6pZ6FfX/VbOhWJNS1nGivy5FjeF/k2GSS9a/MQQlJJk8sXFpT46nhxlXtxwNJp81WTMtcWdNZ7wqB7LOsAETHq/sgKfXQMMmeXWFOznjO7xci+imQfX5Z7OzbzncfedY38yde5wxNd2pbrasQbe8qKg/erxZWwIp5VKJQXuNLSsnZR4dKhfjg6DfyX60nIkJ2k2j9lgW6bgG0w+qazofNx9iz+s3QmZxPPprStUYzt/mgIkJSiBJtwLJXh5m+kK9tr6OZnbjiDqu6hKzI5ZaX36nR6b5q23ALmVbMf+S8TWS+tSh0bWKUW3AdpO1vzLraNYWAku5UGnQXqNDk5PCvA6VKaae9ct+xPKJCRz9uQ2lGkzhnOma2vR1dP1qNIc0oshjZFYcsxt7TJ5yeFxdyjWYzFljsZHurKGzV2UC11n/jpMheZll1Gws1DgpLpRtNR8jYvWpQKOpVawaA7YbN0vjVNid9C3nju8cy45I3VnIbGM519kY3JzBO/Sv+5VcmdMMz7LNmXnW1OZoHVKPWhPQ9Gc6EPbqp6M24Exbw549eQFb5ZQMBuVbXti2PU6lL9NGobzA7GblqBb8u+HNtVqizINhfOHugnfoUcMLLNn1QP1e2U7f4EiXlkTM7pUXmftdWd5vu4RUvflTDx3OJBA8+ZQm6NPD46hbrgGTzRsjazp7UTlwnfHbWhqnz7LvtC+7uZ00k8zqTe7JcfzP1Z3qo/bp3jxL3JzrR7Gy1QlaY+2zBdbbhvJsFHXcvQnRGmQuzY5gqWHfk0xbalVC7UOn6pbNdJyx/7bruXpPgVx7qnFoinjhv9T0RCwV1xe1pnz1AWzXvMzLYktgKVwqDcLYFeeQMq8DlYupVzZk82j5RBJ0O7flpamGYF1X6OrV/8abHjtsPax9vepAS/f4pa0n7qXbschkPGNTDTZ+yFjWBndXnzwHKBiDS9xZ2BbfuPOGgyyMv1m/0s5yme6jzuJY1NeU84ngpInJl9L3Mtj7ffxmak9dVTsxacs7UqPVRH7ZuIWtW7ezc8+fHDh9k6d2fRvtjJXl/pncE2OpWUS7l0q6v4Fxsf8Yx5/WRdfoz+Y4R26fZzNt9Q/a9lDEy5+lpiedqq6zqHV5qpuOh16g37EUocA6NFkHptOnUyM+8SyOZ9VGdA5Zy5Un+0no40+DKp4U9/yY+v69Sdj3mJRlI+jWrCZli5egYu2WdA9bl2fjtiUYdaV7uDeUetX8CPv5F+JD4/lDcy75U/Yn9MG/QRU8i3vycX1/eifs43HKMkZ0a0bNssUpUbE2LbuHsU7nRUsPDzG9my/f9Y/h53XrWZoQytCJG2WdGW5bDq3E0oN9xAe2wn9INPOXL2byyABatA9hw2WLt3hPj5HQ8ktajl3Jrt+38kvCRKZtm0OnYoUoUqk+HUf/yuXbO4js2Q4frxKUKOONb0BPBi/Url9V5/Z0fwJ9/BtQRc384/r4905g3+MUlo3oRrOaZSleoiK1W3YnbN1VVDkXWTmgHlXr9mDahl3sWDmL6Jk7Sd41nM8qfUPgwDGsvpThmGWFL7Qsr9xlV3Qv2vt4UaJ4Kao36US/Oeo3UOqXHA85NL0bvt/1J+bndaxfmkDo0Ils1BzK/jz62ktovWr4hf3ML/GhxP9hrfPVZm38v+6NhM9AYsf/RNyijWxdM43gZvVoHb4d/amwPHWmjuZwceUA6lWtS49pG9i1YyWzomeyM3kXwz+rxDeBAxmz+hKPlv2Ad+tgRo6exJIte9i9aSET+/Yh5m8Tue0yMpbC1pX00A4T6QH74gNp5T+E6PnLWTx5JAEt2hOy4bLjKXTklVEzftPNuvgMjGX8T3Es2riVNdOCaVavNeHbU42DT3UhZIWVuLsjkp7tfPAqUYIy3r4E9BzMwlOmniHYbWPSA3ZO9KfJp+9TvGgxqgXt0B7goLrMUv+qmmclP/ShXa+JbL20j+l9OtHoE7V9qkqjziGsvfLkxduArLamHwHbsmtazT+3rXJKhry1TLpr3/YgM32nbJTadKQfI7Hnd7QdHM/yLZtYMnUi4VNi6VHVhUKlPuP7bgkc0A1O7NYDTZFk2Bo59iwvHsMTKeME83rVp27rkcxcuY5ViZGMmrDa5IRDiQf74gls5c+Q6PksXzyZkQEtaB+yAX2XYLXvVMmQ3aJfMwhl60J5hoi6NfhR+1ZFE0q6s4iWH3VhneWyuawDVtqGbs5desje0HpU8wvj51/iCY3/Q/uNMadsqS0hQW7dspOCYQDn7sD+O6zn6kxk2tPsPYPwC/2DY6uiGR+/kI27trM0qget/Mex3dDhqIu3kgH1qlK3xzQ27NrBylnRzNyZzK7hn1Hpm0AGjlnNJZ15kJWmDV3p61VV3ZisU58ZHHr0HHq1AP1kWx9qdVuP6SIriyDWb1W32BoZRP++XfGrUY6SJUtRtWEn+vQfQMiKc+ZxVKnM/r45001nPsxDmNxlc3hmXzo3qUap4iWp/E1Hek/SnVir7mdn9KRl+4FEzFnGkqmh9GzViqDFp9Bt59Wko7z9K90ql6R85SpU+fgjKnmVo5hrYYpU9KHn/NOGY45NMgUesbRVUSoN+tP4glMdIPMvRn1en+ErVjB5zHT+1n3iwTxu3jt7fbpjW5c3PfMn2ewZ5EfoH8dYFT2e+IUb2bV9KVE9WuE/zmQ8pIv03P2OeaYUWIfGohwv7VbKvEVy0iXSLPyD58lQyk7jctJpLj0wzlrITceRHJIijcvJ57n91HLhlWkOuaSnJnPi+BluPFF/Y+MRV5NSuHzzPhkKe/FM03DuWplxk5STJ0m5nWncf/QkjcfOI3CcsZRN2uUkTl96YN7gHcfMG0LK5FZyEpdkK17n0GhOOVOSefscSefv8iw/sCozuJlykpMpt8nUp6d8QpoOopSRxkP17EjuY66eOsqx5FTSzcfkxvK9CCNHTCQFaZeTOX/7qUHXxowdXDkooya2zknRnHKmzOT2uSTO39V+1yJP6s6EzRPZ+gN5bcx63Ffx1Jm25tCePKetckaG52HystKXFA+4lHSGa49yQMrkZkoyF6/f5dGzXPOlnOrxpixb+zylcyJO9kNNX3LhXlYe+bSpSCjSLpN8/jZ2uwQnsnyeoE/v3tV9q0wfO4cHdx/Jfguuj6V+sZd5K5mkS2kyXpIYYzlz9WJ16yXYfyfsqTLzNueSznPXZoejJONmCidPpnDb2InwJE13Qp4VUI7TtBLJ6UeO9ZqxbQJRf5tMeTidh+MIqktT8Gs9T7fM3HF4xyFyeHQ1mZQbGeYv2tSLPm6tIdCnPbMNHw/SpZbziJSNI/EpU5co/UfKLDJ6ducqd6yhyLrLuTNXeGSr37dIx3DroE/PH1snfzz0ImNkdZmEQ2PQrLgQBF6EgGmH9iLpiLg2CZg6KTYD6X5wJqyjtMTvgoAgIAjYJSDsv108TvyYc/MQO/Zd1S41l26xJDQei0lzJ1KTE1S9pLoJHZbIPfJYTpq2wkjcn9+csl022FgW9pglLUvSfqWD085sJf+WPxcOzVteAUTx84uAgm09y+DmY/khqfxKX6SDYhs9y7jhE2P8YJ9NKs6EtZmI+EEQEAQEATkEhP2XQ8lxmBz+HPQhLiW7sjELMv+JYewaK3sbHSckP0TuCcY1DGC1ZkuB/GjPG1J9ZHnTmp1YftVk06kusayU2bT8tB0/W34Z93kze8viCYfmLVO4KG7+E5Du7SS6rz9+Pl/wRe36tAocxMKTzs795r9cb06KEvd2RtPX3w+fL76gdv1WBA5aiHXEzoR9cwiJkggCgsB/Q0DY//zl/vRoPF0Cw5g+NZLwab/LOJDnxfLPORRC/Z6bzA5terEUHcWWyEhayZh+vRgUOpG4mfOYN2MS44b3pkvfiWw4L2ZnHBG09btwaGyREc8FAUFAEBAEBAFBQBAQBF4tASkHRY7dI7/ySR4lZyf7M3zPf+VESGSnP+DBkxwbe+HyqZhvSTLCoXlLFC2KKQgIAoKAICAICAKCgCAgCLyJBIRD8yZqVZRJEBAEBAFBQBAQBAQBQUAQeEsICIfmLVG0KKYgIAgIAoKAICAICAKCgCDwJhIQDs2bqFVRJkFAEBAEBAFBQBAQBAQBQeAtISAcmrdE0aKYgoAgIAgIAoKAICAICAKCwJtIQDg0b6JWRZkEAUFAEBAEBAFBQBAQBASBt4SAcGjeEkWLYgoCgoAgIAgIAoKAICAICAJvIgHh0LyJWhVlEgQEAUFAEBAEBAFBQBAQBN4SAsKheUsULYopCAgCgoAgIAgIAoKAICAIvIkEhEPzJmpVlEkQEAQEAUFAEBAEBAFBQBB4SwgIh+YtUbQopiAgCAgCgoAgIAgIAoKAIPAmEhAOzZuoVVEmQUAQEAT89s62AAAgAElEQVQEAUFAEBAEBAFB4C0hUOAdmmcXtzB5zFii4iYTFx1B2Nhp7L6ebVBf1qGZ9A34gVbNfBmwPJX0s5uZHT+FKdEj6Nsvgk2XFIaw2gsV9w/OI2ToGOKmTmbi8H4MmrKX20qLYOJWEBAEBAFBQBAQBAQBQUAQEAT+cwIF2qHJPBxF48+7sup6rgGkIiWR1p99z4wknaOiVJB+ZTkBFdypGxRN9NwjPJLUwRUcCa3Je3UiOW1wViTubumP94ftWZKqeyjdZqX/R9QK2U+mIRdxIQgIAoKAICAICAKCgCAgCAgCrwOBguvQKA4RUqMoX8VdRGVGMofDId685xNDst7PUSYTWduVIj5RnNY/U7s0G7tQwt2PuXc1Hg48+Y1+Xm58MTEJg4+jDrezLxVKtmPZA104s/zEjSAgCAgCgoAgIAgIAoKAICAI/FcECqxDk70niA9cytHnN+PyMj3Ep6s64OHiTehRnfeiTCaqjhvl++/GNHT29l6UdqtPwhWtS/Rsaw/KFC5F4OanKJVKw7+ca9Np7PERQ//O0Wch/goCgoAgIAgIAoKAICAICAKCwGtAoIA6NBK3Er/FrXAlhlhxMhRbAvEs5EH7lbpFYjqH5qMhf2Pqkmgdmm+YonFoJG7OaopboVI0GTGTxMRE839zV3Dwrvlc0GugPyGCICAICAKCgCAgCAgCgoAg8FYTKKAODaQvb0uRwuXpv9t0zkWrS8U6f4oWKkWPbbrfZDk08GT1DxQrVIZe2/Om+VbXElF4QUAQEAQEAUFAEBAEBAFB4DUlUGAdGlXqXJoVc8dv7h3Md7YoSYn6EtfS/qxO0/0i06GR7vxM65Ku+Ey6YLaHRq27nLO/seuycWdNbuYTssSEzWtarYVYgoAgIAgIAoKAICAICAJvC4EC69BAFseivqacTwQns4zqktL3Mtj7ffxmpmDY/688zYRabngN3Gu25EyxORBPt3pMvqT3TLI5Hd+Y0p8EsUt7FJo24dxLzBsYzp/6FWxn46lfzIXyAWu5b+5NGQURV4KAICAICAKCgCAgCAgCgoAg8NIJFGCHBpAecmhGT1q2H0jEnGUsmRpKz1atCFp8iic6dFkHptPHvxFVPYtT4sOv6NAzku23rrMpvAdt6nxAieKl8W7amX6JR7UOkJTOsbm98WvWi8iFv7JhxUzCh/7EL2eeGZShurKIth944j34Nx4Lh8bARVwIAoKAICAICAKCgCAgCAgCr5pAwXZoDLRyeHQ1mZQbGcZZGcNvz3uhTvMMp87f5ZlwWp4XoognCAgCgoAgIAgIAoKAICAIvFQCb4hD81IZicQFAUFAEBAEBAFBQBAQBAQBQeA1JSAcmtdUMUIsQUAQEAQEAUFAEBAEBAFBQBBwTEA4NI4ZiRCCgCAgCAgCgoAgIAgIAoKAIPCaEhAOzWuqGCGWICAICAKCgCAgCAgCgoAgIAg4JiAcGseMRAhBQBAQBAQBQUAQEAQEAUFAEHhNCQiH5jVVjBBLEBAEBAFBQBAQBAQBQUAQEAQcExAOjWNGIoQgIAgIAoKAICAICAKCgCAgCLymBIRD85oqRoglCAgCgoAgIAgIAoKAICAICAKOCQiHxjEjEUIQEAQEAUFAEBAEBAFBQBAQBF5TAsKheU0VI8QSBAQBQUAQEAQEAUFAEBAEBAHHBIRD45jRmxVCdYddk2PZclPlXLmkNPZOi2HT9Vzn4r200Dnc2jeP0b17MSw8luX/piO9tLxEwoLAm0RA4sHBRUwY2Y9uPUJYeOgeyjepeKIsgoAgIAgIAm8dgbfIoZG4tyWMH1o2x7fxN/h81ZeVd962IfATDkzsyujdac81+Jce/8lP/qPYlfZfc5O4uy6QSmX9mHrm2VvXaEWBBYH8ISCRfuAnvixZnSG/Z+RPkrpUck78TMiIEYyQ8W9UxHou5atHlcU/UwLp0NKPRvU7M+d8viaer5wMiSmT+XmgP62bN6F+swj+yTH8Ii4cEJBysnnVr9my/plCYIeW+DWqT+c559+CFwISD3ZOpEu7Fvg2rE//VXccjyGkHLJftWIc1BXrPxdAe2G9IG/907fIoYFnVw6wcVonPi78Du+4NmZGqpOzFAW6ukik7wym2fC9vMjQRXE8glY913LvP/VpnrCiXRE82ix7obK8XHVKPL1zgeQzZzh38wnO1TQJ6T/l+3LJiNRfIwLSbRK/dad8/91k56dY2Rk8uHONgxH1cX+3MJX7b+LavQc8eKD+d5+7N69w5p8NJPSqjed7P7A6Mz8zByk3k9TVXano9j/GnSwADg0Syqx7/DXqM1zL9eG3fFWGI7Y53Ll6kyxHwV7095w7XL2Zv7kok+L4urgrXj028nLes9lgI+WSmbqarhXd+N+4k2+BQwOocsi4mEiLkm40npFqv09TJhH3dXFcvXqw8eUo5kVro1n8gmcvzMQXNzoCb5VDoy6zdGcOfm5voUOj+Jfwhu1Y5OxSM8umIj1iQ4+vGbTnRdwiy0SdvX/EkpbuFA/YgMLZqK8qvPIk42u58u4771CodE+2yR6gZLJn+KeUKNuSBdecc4NeVdHs5yM8Mft8Xtavz8v9ET+3dKdEl40vpS0pNnfD811XakecsT7ok+6wzL8Fky/kf11XJkdS26OgODTqeiHxcHELPF61Q6M8R/yQqVzMfxWYVXbluXiGTL1ofyBsFsPxjfLcDHxLF6XKgG08et4mYC8be2yUyUTW9nh7HBo1p5x9DP3IQ4ZDc44ZvqUpWmUA216KYuwp7fl+K3j24vnK+SbHegsdmrlvpUOTvqEb3t02kJ4PtTnrj2BqtlmM8yv2crl/YjPzJ/1EUEBLvm3ciEaN1P8a49tjAedkv0jVOTQvaRCWD4i0SSizyfh3HF94BrBBtueVxcGoplT/rBdrb7+MHjrfSpc3oZx9DK/iSdtfHjhejpA3tnjyvAReiPvLbUuKzYH2HRrgydphjN6b/2uslMlR1ClQDg3/iUMjPViGf7PJL9mhkXiwzJ9mk/PXodE2mZdnJ+2yUSYTVectdGgqy3BodLbs5WnmeY2l7XgF0V7YLs3b+YtwaF6a3qXXZ1AnpbGigxcdV+WHOwM8207vSr7McmbJ3pPTLOxZjy9bj2TGml0cPneLR5mZZGr+PSUrxxnT93IHYflZJTRG0imHJj9zf8VpZW+jRykZyxFesVhvfHYvxP3ltiXrDk0uJ1eu5LRufb3yTAJRv+aTbTJRdkEcoLz6GRoFSTHfULJe3Mt1aBRJxHxTknpxL8OhMVF6vl46YCMcmnyl/V8nVhDtxX/N7HXLv8A6NDkHI2j6WXWqfuRF+XLV6DVjBRN7fkfDr+vi/eEHVKndnD4xW7j41By5dMdkhubaXQ7OHUZAu3Z871MVr+oNCIzfxwPTsbXyJr9N7ET92nVp6NsM3wZfUK2yNw38w1hx2uJkLSmDE4uH0qFlW/w7d6FLp/Z87+dHo5pedF5jIoiUTtLqcAIa1qBaja9o1Kgun3r70CF0Nckmwcwlt7x7wrGl0USOC2HCqjM8Uz7g6NqFLJiTwLjQGLZcNVnjlLWdXh80YMoVa2sKJB4dWcrk2AiGD5vOQcP0cCZHZvTAP+w3y4xBusu8ZmXosFLmICT3PHPb+OA//wyyi5c3V5Mnj/i5hTvF7c7Q5JC8aixDBv/InG27WPBTb7r1G8+6lMdc3hpLcLcAgqaZ6zrzzGrG9+vId00a0tivFQGDoll94qH5EgnlJdZPGErwwIEMDB5M2IozZCvTOP7rNMIHdaOjf2/Grj6L/qgCU4dGdWUzkUODGaiOOzCY4GGRbLqsnZZS3drF5OGDtOkODGbQ6IUcfWJSZPWlIokVY4YQHBzMsOhtXLz6J/PGDiCgY2f6hC7g4H0rU1xPz7N5yo/06dSRboNjWbN3D4t/CsCvfkNaDVnJhRfetCmRcWQBowcHMzCoJd7uhfmgYXddGQcSPDiEhXkKIpFxdiMJo/vQoUUbug+LZvnR+yZLkhQkrRjDkGA1oxi2axxniQd/zWDUoGCCB41m/hHdkke5+nCaXSZnVo+nX8fvaNKwMX6tAhgUvZoTD41tKCd5FWOHDObHOdvYteAnenfrx/h1KTy+vJXY4G4EBE1jn5kxUSvxKRd3zCZ8YAAt/JrzQ/8IVp18ZHz5IVvO5+FuUZ80t4+1yzfttiVr8eQ9s+rQSPdZ0nc4e0xMlGlq2Vd2khgbw6T4eOLGDWZA+FpSrO6xUXD1t3iGBY9g7PiJRE4Yx4SZv6E3fYYByolHnN2USMK0BKJH9KVfxCYuyZkxzTrEzL4B/NCqGb4DlpOafpbNs+OZMiWaEX37EbHpkpVles+4uGUyY8ZGETc5juiIMMZO2811a2XNPM/WGRFETZ5KfEwUMQt+5/S8760sOVNx/+A8QoaOIW7qZCYO78egKXu5baW5m3LUXKvu8tfcaOJmL2DRwvnMnz+HKUPbM3KbAuWVrUT1qsf7Lu9SuPw3dA3S2qVRS5OMm+yzr7AzMZaYSfHEx41j8IBw1popQyJtTyy9O7enhZ8fY35P59LWGUSG9KHzoKWcVSi5sjWKXvXex+XdwpT/pitBGts5iqVJOuNjR8Y85TF5oDz7C8O6+dOmuS8Bs5N19iOLQzP7EvBDK5r5DmB5ajpnN88mfsoUp3Qvi43BoTnBo7ObSEyYRkL0CPr2i2BTngr2vDq0XZ6oEf0ImrST1FxQ3jvE8ukJTI2fwODeQ5i5/555v0U2V3YmEhszifj4OMYNHkD42hSMzcqRHnXg1UvOTGdolBdZN2EUP4b+RFhYKD/NP0Sm8iy/DOuGf5vm+AbMJllXT7MOzaRvwA+0aubLgOWppJ/dzOz4KUyxyUwi/dRyIkLHExM9jtFjZrLjnx0smDyJ8E5f0XTSKZM+w6RiqC+lNPbE9qaz+uAG30GsuXiatVEjGT76R4YEDSF8wd/cspgUdsZeyLJRMuq16v5B5oUMZUzcVCZPHE6/QVPYK6thW5RX3GoIFFiHhmd3uXh0Bq1LFeKdd97FrXIron67pu1gFBdZ2aMabu8WwvPrCRw0GRgaHZrP6dDDn+Clp0lXOzDPdhPkVZh3ClWg93ZjM8/e1Z/yhd7hXY+mhhmJzJMxNCz2LoVKNiQ+Sd8qJB5v7sEHFbqy3mQTnJT+J0O9i9J2uU4IKY3dIz6nWCE3vHuv45ou+tPTk2lSsjDlWi/iqnHMZLOaKpOmELLoBrnXptKwWC3aDQpjaVKGZmCkODCKGt5D+UvnPSiTJlL7/Z5ss9KJq26sYkzsPjJUt5njW4z6CVe0hlB1kyVtSlPYs5sVGXL4c1Blqo08gL70VgLpHqlIXdCG+iEH8smZURuru8z1c8czcIuVAYVeEgUnFw2ieTUP3n3XhfJfdSagfgU8yr5P6ZLetOzWgurFP2boPl0JVKnMaOzGu0W/IHBiDFHhw+nW8EOKuFeh+683jZ2DMoXlI/vQo3s3fKu64fpFN4Kbvo+bpzd+XQfQodZ7FCremfW6va+mDo3ywmpCujXiI7dCFKn6LV36jGaVbp2dKnUzE/r3pEf37gR+/ynFXL9gYpLFiOXZMeYP6YX/1xUp7OJJaU8PKtbzJ2hwH3wre1Cs0VQumESRHv3Bj18Ux+PDxvQYMogu9Srg+m4hSn0ZSEjvepQs2ZLFzq8b1APW/ZV4tG8aA3v2oHs3X6q6Faa8T0e6d++u+dejVzAz/jF1/CXubh1Izffc8arfjeFhP9K3eTWKuVXih58v6gZSzzg2fwi9/L+mYuHiBGjW60nc3RXDgO4tqFHclf+N13VmcvWR5hw7VeoMGru9S9EvApkYE0X48G40/LAI7lW686tuH5ri5CIGNa+Gx7vv4lL+KzoH1KeCR1neL10S75bdaFG9OB8P3WdsI9Jdtg+pRTHXsnzpP5gx40bTo5EXHkU+ZdBvumV6snXsLHcLtRluM1nRzoOiHdcYnHDDT/lwoXVoCvORfxzLV65k5bJFTP3xez6uFGTdoVH8w48+DQn7U79s8RlHw+tQuk44h/RvCTRyKUia3oyK1fqw6Zau0ueksKBdVT4fc1QTQjtA+ZSA0RNIPKJzGhVHCK35HnUiT9seDBnKrUSRfoXlARVwrxtEdPRcjuhe+CiOhFLzvTpEnjZpcGRyOKoxn3ddhfF0ewUpia357PsZJJnYX9XNDfT//DO6rbhsOIzhWfISBn5VHhezPTQSd7f0x/vD9ixJ1eUl3Wal/0fUCtlvMiA1CG1yoeLK7Ja0mnHVaL/I4miYD51WZ4Eql+zsJ+zoWwE3n2iSnylQKBRk5+o7IAX//OhDw7A/DS/5nh0Np07pOoSbKkOZxcOzM/muRBG+GxJH7PabpCZ+i5vLp/z0by6q3Gyyn+ygbwU3fKKTeaZQ55ONNhsHMpqUJs+lKocnqevpVcmV6qMPG5wwpSKdK8sDqOBel6DoaOY+j+4dsgF0Ds2nAaOZkHhEt4dHwZHQmrxXJxJj1XgRHYL98hTli9HzmD1pHRc07UPi4bouvF/mB1aYnNyj+OdHfBqG8af+Bcuzo4TXKU2d8EPGdu9Ajxr+lg4N2aTEfE2Jqm0Yt/oQ19LV/amKnCeprO9VCdfqozmsf2mmVJB+ZTkBFdypGxRN9Fx7zCDjzxF85tWOJTe09f7pof/P3nkARX198Z62CyhlwYpojEaJGjvWWCJWbCj2oCiKvcQWNTawIfYC9l5jxxp1osausYy94NgdK0+FhzC7zO5vPm9+2yssavLXvHUG91duOffcdr7nnHt+wyjrU4u4G1mknl/N/L3ZByZQZqRwa2EoMrdCVO4yhYNPtXt92nmmhxQmoNEsLhrFqLB7vbBrjcp5XAvPd9AzqCitlz/UrkUCT9eG80354RwziKAWw97xwDYHvl5AI7ZJPblccXKS0jDxhUHLKcq8r9YT7u+Ck7OECuMu6Bc7PaBxciNo2CmDQKx6wKw6Epyc3Cg76rw+vfLWQpoXyYtfpWEc1AEj4QWJDaXqtKWGntSmzeLUsNK45anCwO23SdXtCSi5ungAM05qJtOHP/tTwtUJZ8+mLHlpbArKYG9UYVxcRSHbmjrPuBOzOBc7jJXPBRTHh1BSWprBx4x2+7fLCfXwpf1mzayQ7+pKgTIjOatbWPRFZXE29hdWiEJt6ja6FPAmdNlLPR9V9+cSUnaQPrXhQsn12Kr4tlmfM0hR3SU+pBkLnxi31VDSx1wJr7fQOUBGo4QHRhu1tZLk7OleAEnJ/mpwl3V+FGUlPjRZJAKUd6xs4W0AcCi4vSWGMYtOawCuWJzwjA3tA5AEDee0Be/k7Irww8XJGa8qv7DvmWbRVTw9xZ6j9/SbhDGgIf0S81oEIqs8kN1P9QPEgnDFsUF8K61gCWjUKQWeJ4QgdZZQKnqPXtBI29oJP2kt4vVoWMmtqdVxlzVl0QNtXVm3mFHXC69GiTxRKZHLjYUxCzJy/8AO1yfhzRY6F5LwXc8kXuhZkMq5mB/x9W7AXCMrovA8gRCplxbQaMnJOsGQktYiC9nTH/byTlxbbrMlZgyLThvAmPBsA+0DJAQNP61fH+R7ulNAUpL+ovYg6zyjykrwabIIEfO8W9kC71rxaJok8GJ9OAUk3xKx+bFBmFY9ZEXrgpoxpt1vxcPh9vWxlid28N12Zyq5EVcTr2KR7DRSxNhOn7s3GkDjRsmIRezdv599SVtYHhPO999aBzTC80U09nTBt8Pv+rVFdS+eWu6F6LnPsC4qb06jZh5fQpc91a9XwqvVtPZ1o1D33Woi1XNPIqHS+Ev6/oJMtnb0wT1kIc/tWpKUXJ1YCYlnMDE6Hzmx9MytdPRxJ2Thc339mSeHUyZPNaaan65XnGJ4UF6CJ13V0KG6T0JjGbKWK82iRaq4NaUaUmNAk7qHqEApFcdfNowZsfq9PSjs24pVOgHVardksrmdHzUmXTWJYJZ1aiyjdRoX5BzoFYDUmsuZ8JxFjT1x8e3A7zrTuuoe8bXEqHj79EBMXbW4F3/jhm+jBNSxTDKfcul8Mqk6HssP0CtAasXlzB4arTZO81B1h2k1PEwAjfhCfcBb4klwzKf0fTa80VRCTGUJkkrj9e6T4uPMrR3xcQ9hoW6AfVIfapqZXXtcZK1ZbSRLqB7Moo57IaL080Xg+aLGeLr40sHQkdyLr4V7oZ7ok4lV5dSPapnLcIYm89YGRg1ZwFm1VlhDq+Z/FXem1cDDGNCIL9SBFCR4BsdkzzPhNSua58W9YaJhjij+pF8xCd/9csJoPhvXaXmtODqAb6Tf86uZ8CPKNvXzeFDFaHzYu17Yt0blNK5T2RMViLTieEz0lpl76VHYl1arXlk2xvEkRw58MqBZvnwVH/OXI2X2JFBPLg2gabr0jVkOjW+4GGVKUmG8XluiBzQuhell7PMghi9tIIIUV0oOMZswKpVGcBbkpDy4ypm/9jK2rgfOTi74d0vSLuwCLzeEU8DFCSdnZ6Sy4lSs15oeYxZz9LFONSdaNori6uSEa7H+HNELMCLpKh7M/BGJk4RqU2+btcX8NovbZy/wVlBxN64m7t8MQGdoUJd0eyrVJVJ+mv9UnTF9bWu8qsRw3UJ+zeD6mUukIpCyMRx/mdkGqTjCyP6rzSvX0DqrDl4hCTkLBfKddCvTjDGLl7J0qa2/ZazcfoE3us3PSo3io4xH59i7KpZuIXVpN+kgz/QCsY0MiICmEAHakLSq21Oplvcn5qnBVSbbOvlTNeaaiaAASt7fP8f+TcuYGxfL8OYlcPMIY50RXtTUphWgJeX57W+TjjQhRgdoNj8/xeQGBfGvOYYjOQiOdgEaST3mPDIwQHF8MCVMQtTK2dXVH2mNadzRJ8viwphySM3GiwnBn3KTo2At8GZVS7y8QllmpD1UV/lhHz2LuFNtyi09BR8FaLLtDy1QyJF3ehJA+Z775/azadlc4mKH07yEGx5h6/SAVQQ0hQJ6sl+UtVW3mVotLz/Ne6IWcjO3dcK/agzXxHknPGVhiCdeTRZbBNPI3BtFIWklJl7RTdBc0pkj343aY+1S+Zi941pTOySKqev+4PJz2+PZWvbsnll3OXvD6ughJhaazJQ3pKvnv5KU2xe4lSIOWhUZbx5x+8REakvcaSNaFdT/lFwaXwGJpA6zdGBd+ybz7RvSteNdPfekheip7hxtAuQkdfNHqgeauue2fpVcjamMtJC2j3XJ5El085caKUTkHIguYmZd0SVOZ12YB25BIzgjugddj6GKREKdWeYKGZVayDQGNB92RpDP1Y8u29NRKpX6P8X9WdT1+IYBppuIrkLtr4r7CY2QufkS1Kg7v8avZM+5R6QLxmHhsxfalSm3uXArRb3/qTLe8Oj2CSbWluDeZr0JSNIoF6V8/+tZ68KmTUBjD41mzTK+Vd0hziqgiaHyJ/d99rzRWGikFiHP5Und8BeVS1rlzKf1oaax2Y1lSRXtGqPli1rGcfeh0zad3CECiRRuX7iFZlpl8ObRbU5MrI3EvQ36aSXmV8tU2fSjHtA84OXRGJo0n8xVq8uFijtx1gFNTOWceYbwhPk/SZE2WWIIx511iqGlJAREHzAF08bjwexaBDTFpZWYoF9btQlUj5hTV4JbKYMFKTsem64X9qxROYzrDzuJyOeKX5ftpBvNa6XiPrPqevDNgCNmLXHc2sOB/zCgkbPjZ5kmbG7BKL0WQg9oXEsw+LjRTLQFaMTzLhsm0C2kAsW/KUv9dn0ZGz+XPtXczQCNKLS85ti0cMr5acL1Ojk5If455y3P4AMi4PrA+jARCDnh4h1ESHg44eZ/7TozbvdLe/pOXd+K5l74ddpq4nqQtqkdvi5+/LxDIwCkr2lF3ooTTDUBxjUIb1gb5ouszVqT0JeqR4sYOz/ZOKX2WsW9GbXJa4+WM3MHXYMa8svM2cyebetvDvPXnjJoYqzUKD5Ku/cXv88fQXjdBkTO05mrbSRWPxYBTQDlRmssbiKgqe4Tzib1Om8OaATenJxDt+oBeLhI8A0sS7X6jWlSpTCu7q1Zq9NQ6qvTABpJmV85Z2G90SdCvUjmDaJ6ZT9k+fzwDR7LaYuyDOnFK7sATd72/G60X2WdEC11xiFqldwSNWRmFpr4OnnJ2zCBxzmAR1OK7LzLUbBWcuG3H3D/7hdOmvNMdY8Ztd0p0GOvvrKPATTZ94cWKOTIO3Euv+HknG5UD/DAReJLYNlq1G/chCqFXXFvvVZvPRABTUC50ZwX2yMCmuo+hGsGGCaARnGcwSVE5YtmTbD4Fdcj/dcUc0GnyK0c+a5nqfUL5TMOTelEg4ZdGb94O6ceGg0s6znsfmoV0KDk+s6dRlEN09g6egK65Tjr2TEShkfSpccgxs1aydbNw6khcSdML3mJc9cXZ/dWVualgTSNgPIN/U2Efi2gqTldazkzpLd+pQU035gpoLSApuZ0rYuuVgCzVFSJpWayo4sMF4/WrE0DMZS1r7M7rdaY+5WYAxqBx3PrI3Xxo97gOcyfP9/0b+EaTjzXayusky+85uTcKOqX8kPiLCrbpAQ2+I0/9AqFHIT2rGccSxhOZJceDBo3i5VbNzO8hgT3MGuAxoMfZ5qDNC1ZNgGNZt/MnkbrTVM/zRbQfGrf58AbtcuZlG/6HzG4lYrTUQ1oamrPrH6GPlQbNkSAZl97NDKONx23Gs/jLJ4dS2B4ZBd6DBrHrJVb2Ty8BhL3MCuAJpt+1AKeUo270ye6BSXzBNHvj7d6K6Whp7IHNNnzTCxFxcOVrSlctCd7tful6tECQmRBDNL50hsqs3llE9CgXUM8WqGbhrlZL3Jeo7If18LjudSXuuBXbzBzzOf1/IWsOfHcZpscL2xz4D8MaN6zqoUGPLiVHaUROMQxpgsKYA+gEV6wo2cp3J1d8K09lmOvdJuHaE7MawFo5K8e8DRNAEUKd0/vY/3CGPo2Czlt8SEAACAASURBVMLbxRlJ8CRRVOVQn0CthaYffxrhKdtdlM0b8bB/gTw0SjS4PYib5/5eRXDzC2eD1uQh3xlB/u+G6AUGixLTt9LJLw9NlxrczcQF5fGyCSw0cgEy5FNycWx5vMPWmQApw3ujK9VtpjVoyRKd+d3o1cdeKh8sITRfPlqtNLibWC9LA2h+GPO3WmuoBjS+1gGN6kEiTWTufNt6KntuvtVbbd6tCMU9G0AjrTMLMyWxCSnqRVIioVhYApdfnWFCNRmleibpXcVMEmtv7AI0XqahoC0BjagJjqWqxBn3onXpOqA/nWsGIJXVYMIpc0HKGhUf8cyKYC28u82pi0+0GjUVyfG1kMo6ssWcBMVxhpTUuBPoarYKaNTpbLucZd8fWqCQI+9UPEhsgsz9W1pP3cPNtzrLyTtWhLpbApofxvC3HtD4Wgc0yhvEVpXg23Q6R8+c4YzJ31nOXXrIez3ItJdOLady5LuOo9Z+ldya8SM+xaPYrQ8IYppOmf6edB0LTF/leGcd0JhlyzrD2IFLEb1mlMkraFNURvCoYwaLbcpymrkbAxrtOiptSKJeMDcrM5dCoGVu3RM7AQ3vWN3SE1dzS466mEw2h+fBxS9C/T0qxaE+BLpKabLktZkgaA5oIHV9G7xc8tEtyeBup6Ms518Vj69d17rQCmS8vMHRNWNoWsydwl13arObC+1Kbu/ayRVxPCuTWdGmKLLgURzTm881ng+2AI3NDy6aAxrlbXbtvEKWuM/kSGM2Lf1XAY0Rb0SS7AI0n9qHmrbnRti2BDRKkle0oagsmFHH3ujHXMryZrjbADQ2+1ENaNypFnsNuZDGiZEVyVs8kh1GLm8aij8V0IAqeSm/dO3Bz1EjiJ0Ww6AuEYzbdc9u64xIh21Ao5EPXfJ1Qze17OWxfWtUDuM6dT1tvFzIp/fw0XDN8f+nceA/A2gsNof3SUQWccXJ2Y3Sw07qNSi5ATTqtO7OOLnkp1uSsbbjnRYsGbucKTg6oCRlhp/W16Xpmnfs6BqApPhA9e2Hg30oLp6hkdZhlsWHEwWe7RjL2O3P7OrVrFNDKeVehRhjX7LU3XQv4kn50Wf0E195cSzlC0ZYDQogVqS8EUtVjzKMUquZtVUrLjA7ZpNayLAkRsGf/Yrz3aC/zNpqmVIERvcWhFJn7DnDeSVryXLzTBsUwL+rzt3PVmb7AU3mts74GrkJaEoUeLmoEdLsAE3d2WQXvVq9SMrC2ajVMmXdSaRZwcK0XJqsB03m1H8uQPNuZXO8ynVj8sR+dGnXmehf57L/vvE4Nqo5K520TL1EbfQiF5fy3UTml1J7hu4QsugSWQP3wN4c1IJ35aXxVJTKaJJorMkVeLW5I4UkRYk+YPDtE14k0lCal/bGpqj3m2gnk1j5mJ3GYibNtj/sBQqZbOvsa+mWJLxkUSPpxwEalFyeWBl337pMu6RzndLwVniRxKh2fVmjP/9kL53avrGD77Z7MZXVLd3xbLNe70ZnSKvi0bpOFHd3wf3bzqz/iI/y2gNo5GfHEDpEDJ4guuQG4lYwkiTDMNB+DFkDaLLOz2PuEQWpu7pR2C2AnvtMeQlyru0/qG6CvQKKob3WruwFNCoeLmyIl3h2wjzQhvI6MVUk+Iev17jPvN9BRCEJQSPN3bNUJE+vaXKGRni2jOa+EoKn3LJYLxTX9rBPGyXRGuViRL11ndtYuHdmHhlA6eAYbRYFB3sH4l5tCppvmyr4c+JEtTug4nBfAt0KEmnaGSwIkWosNFnnmTdXa53QuyLZOKitOEjvQI1LqVotqPiTiRNF1yF7aLTeOvXTfxTQ2OaNum47Ac2n9aGm7bkZyxaARnGYvoFuFIxMMprjAs8WhCBVA5oszs+bq3GBz7EfxShnnjRfqY0ymXmBmOreFGm3nic6fa+mY7J1ObPHQnNvTj9i1ZEVBFSqj9ubNIDGWoCd/fQKdCN/x816rxT7eGzvGvV/sp97wjOWNfdFEjzFJJCPmnWKa+zZd1fT8eL/WWmkZpgw1/DOcWXCgf8IoBFNd7Gc1h1ME95wbGRVPJ2d8Sw3kP1GZxZyA2hI3c7PBcTAAh7Ujrul9w1OvzCd8DJixChnvFuv1moSRSG/KG6y+sRdMvIpUj1lVVh+CnfZqmG88ILdfcrg6exKsQ5rSNYr3lSknI6naVBd4q7YY7pRcXtqdSSS8oy9qFOfpnFqdBWK1I/jb+N9Pn0bnQvV1vv0mowA0Wr1YglNvDURaTTv5FxdPJ6l123QIbxicWN/Wq1OMS/K+r38CjOb1KDb+mQ9yLKe0N6nGi2hT6fsv26e+ewic1rko2TkOm68/sDLQ4Mp5xXClPOPSUu9y9ymvgRF/86tFCWqh4to4ivl27A4kv6+w8N7lzm0Noa2pT1wllRj2I6jnLn5CgVyXt44y8kTR5je1AdJpcFsO36CEyfPcPWpMdNVvE0+z/G1vQjyDmHykTNce5YBwnvOxPyIzKc6I7ac4upTreT24SlXzpzkxIkTHE1oT4CkFFGr/+LEiZOcvf5CCwYzeHbtNEnDg5F4imWe49ZrOelPLnNiUUcCJSWJXHmcCw800Svkh/pQLH8I47f9yV8nTnDy5GnOX73PG7nZ5qC8ypQaeXELaMf6T/mYp+oO8bU98K75K3uu3uf2yWV0C/JA1nw5+mKFN+ztXRp3z9J0iN/FuWsXObi4D8EyCQFtVplauzJ3E1lAQqnItfyd/JC753cyqWUxJM5ulIxcyfELD0gV7O2P3PBOjMzXBF/pt4TFJfH3nYfcu3yItTFtKe3hjKTaMHYcPcPNh/e5OKcF+UpGsu7Gaz68PMTgcl6ETDnP47RU7s5tim9QNL/f0s6T1OP8FuyNpFBt+s7fzZmb97h1egMj6xVAUqQLW9QHvHNDp3a+2MN3m1NL+x2aDlusKBzSWBfmqXaRdXLOQ5v1RuuazfJMX2Ru6YC3GJjF7FC7LpX8URKDq/gTsvAZApkkdcuPW+Ee7NEDGhFURVHOXyNEyQ9PYpJo2lbeZXFoQfwbLeCOkfui6tFKBoz+Q1288tI4yksD6W3y0c5MtneRIa1ufLZMR421XyWXxpVHGtgb02K200Umpfq0O4bAJBnniKlRgOAJF4zOlwi8O9SPoIIhzLmuI1TJ7YQmFCzenV16y4eoTr7OzJ981ZElt+v1DnIuxdXF/7to9hlb0LLukNB7DIfNLZ0mTUhnbZiM6pOumCieMg71I7jbdm1KUZNeE4+ifTks7kXCS1aNn81NJWQmdSO/W2F6GDoDMSpmVDl/PJuv5L38MJMm/akpW3GIPoHuRsoME0JABB41PSja97B6DxBermL87JsosYdGs7KMb5U3mRzsbnFQ/PP0vW3eqElQXmJceSmBvQ+Z8FcN4qXVmaY/vPgpfahpbHbtkejBqCat6M5UT+plUARlJtEtvxuFe+wxABrVI9ZFlcPfszkr38s5PGmSxmMkp35Uv/ek6TLD3p95bhTlJPloPP+G0f6u5ObkYLV78QndsBfJs5tnAq9Xt6VM6HhWbt3Bzp1J7D1wmOOXHmvP2mnamtP/akDjJqPBDOPAGJlcja+PrGBTEm/rZCeRNHvWC3vXqP+T49yTX4qjrv93RO8zCttPFncSejNGN7GV14ir5YVboQ5stLCC5dT6///e/0cAjYTKPw+jc+NGtO3ckdCqgfjmL0uTAUs4q98EVNyf25iC/jJ8vLzx9vbC1y8/3w86TObDBTQt5I/Mxwtvb2+8fP3IX2aIuLrz8uh0In4sicwzHz807UiX8Ba06DmXk9e30i84gLwSVyTeQQz58/9ydEApAut0onNoPUJadSayWwdCa1amVqd4jhtvXEIK55YOIrR8YfwDK1K/SRMaVCtPhQbRJJy15o9qZWAKr1jWLC+yliOJHRLD2r27WDa+K+F9lnJJH1pGm094zpKmhQnfoNWqWBSXxvnpzQhuNZGNe3ayIm4Csw88sdAI6rNl7KF7sbrM1GuU9W9sXghvzzA7PJganSawYs9Jrj1J1QNEm5lsvtAKYdl+OyOV3zvlw83ZCWdnKaX6x9D7WwnOzs64ypozdnRdvFyccXZxp9yo02qf3af7x9E8SKYGqk7OLngG1qDj8OH8XK0oMk8JksDe/JG6l14Bpmek1OchnF2Rha02uJIpLzGxigcuot+6eG7C2Q3/jpt5mzyXBl4uWiHRFVnrlepx9mpVGDJXZytnLJxxKxDBdlGWTFlPuJ+bJq+6TAnf9F1PYgsZrvp6XMhbZ4b6vNblBS0IdHNBkscXmZ8fMl8v3F2dcfEsQs1ey7mik09Vd0lsXoR8RUvTc5PuoU3mZ/si7fx8Ov4g0/Dd1YfSzcey57Fh01BnznrEnnFhVAzIi6uzCx75g2g4aD03jfGgJiG31/QkuKBU3WZnV1++bxFJy+89cXF2xiVvHWZcSbKvP3LFO3E4PGX/uOYEycQx44SziyeBNToyfPjPVCsqw1MiISCkHv5uzpogIKX6E9P7W/XYcXaV0XzsaOqK/ezsgnu5UXqeCe/+Zmm/RpQL8NLyyItv6vVl5RWtZJpbOrUl28V3PRXGF9nNJYGXuwcTXMCbAsFD2JNtRC3jMkF+cjbdO7Wl/nde6kiA7t/8SHhnTShvMaR35/ZtaFanLAU9nHFyLUrfwxrlSdbdjfSpVYKKHePYtG8vGxdMZvrWK5ycXJvAH8LoPTSBs7ohmnaZZb3qUqVxf2as3szGxMkM/3UR51IzOD6rO+F1SiLz9qFotTC6TkziyYNtjIloQeUiPnj7B1G/fRTzxVP6tv5lHGdW93DqlJTh7VOUamFdmZj0hAfbxhDRojJFfLzxD6pP+6j56sP+YjHCm5PM7tqM1r0nsGDVcmaM6EpoaDRLL+pCZOoqS+XC4igah0Yzafl2dqyezcTRk5jdPxiJc16+rRPOyC1aa4fwjnMLIwlp2I2JizexZc0cxgwYycoretSnK9Ts9wPrwkvTrM8vDJu6mj2HD7JzRSzREb+y08jaJrw7zvi6QdT/ZQmrZ41kwvYnGpCWdZeNfWpRomJH4jbtY+/GBUyevpUrJydTO/AHwnoPJeFsGq/2xdItrBrFfLzxK1WXdhFRzDpuPpkF3h0fT92g+vyyZDWzRk5gu1qlbx+NZg1T38pPzaFH+3qU8vPGt3hNwvst56ryM/W9tkJbvMk4Povu4XUoKfPGp2g1wrpOJOnJA7aNiaBF5SL4ePsTVL89UfPPaPa5j+5DO9rjV1o7lj/wd2I0HUO+J5+3DwGVQukycpOo4ufuxj7UKlGRjnGb2Ld3IwsmT2frlZNMrh3ID2G9GZpwmvvZ9qNg6GdfHwr+0JjOA5ZzNSudP8dWJyBPHrxkxajSbBAbbx1nTo/21Cvlh7dvcWqG92P5VSW55Zny6SY6F/elUPESlPj2G4oFFsBL4opnQDBdEy/pzzFaGxu6ZxoLzQ/0iJnAiNgENu/6nQXDWlCjQT9WX9MtJHbw2Gi9sG+NsmdcC7w7t5DIkIZ0m7iYTVvWMGfMAEauvGIEPJNZ0rIIsqB+7HlrpojUNdLxq+fAfwTQSNFEOROQv33G05fvMVdC61v8kReqzHe8ePKMlGxMf8q0VD6ox5xAZsoTHjx8xnsbRg4dGVlpr3n6+BlvPpgJfboEtn7FKBn5PTXnZ7JSuHftDq/11h7zTAKv17al1M/bMN9WjVMq3iRz6dJd3uRAc+bhvnzf+GMOlmfy6Nga4sf0o0vzugRXqUzlyuJfFWp0SLAShc2YOuPr7IQw43Qfd614/5zHz9+j+IrXD+XlGKp4BdF93Q1D6FRR4JK/5d7JlURXklF68DETrbzqzjym68N6fhzvNLmUfHj9nNc5jmklaSnvTLSbVmtVZZDy/Dkpmf8Ls7uC988f8/y9Qu97bpXGXD9Ukf7qGS9SsxGoc12mvXw3LvifnUvGNdl/rSLt6U0u/n2VR+9166KKD2IkNGtDIOst969c5MbTNIO1xP7K/pmUihTuXb3Oo/c59a+CN8mXuXz3lXouyp/f4vLNezx5nYrcoq0KUu5d4eLN59p9JifSBd6/fqOeX8r3D7l89iyX72nuLXIKH3h24xI3X+hNQ/okqrSn3Lz4N1cfvdcruVQfUnhjtTP02axeCB+ecePSTQzV5IJGqyX+Cw+z4U3ua89tH+a+Bps5VGk8vXmRv68+wjCtPpDyJv3LmTda4lVPNtAluDXzzL80rkjh+tYhBOerSox55DIrDTc+QyN8eMHtK9d5nKpbU6xksPtRTmtU7sa1IuUeVy7e5LlGgLSbCkdCUw58MqAxLe5fvlP7e9oK2/wv0/IvV6c+BC6en1HHhLWj8vQjDAoO03xzxo7kNpMIKWyNqEavPXZakmwW9CkvvkQh7FPa87nzCrxIbEje6tMw/ySGrqbUNa3wNgpnLloj3/weR4Lxlzl1iR2//2EOpLCsqTve2Vo7/8PNdzTNwQEHB74wDgi8TGxE/o5bjFw3jUl8y/JmvrS2DD1qnEh9bQxoLF46HvznOPD1AhpFGm+e7aRXUQ2gCZl9m1fvMz+zFvVL7W8lVyZWsvTrzpZcgVdbuxMy/C+7TLW2ipJfiKFJ+5VmBwBtpf6nnqezoW1e8rbd8Elt+aeo+xLKVZwaTpB3OaLWXTex0Ii0ZTzYw6+1/QmI2M47HbFpJ5g6dmPO3xXSpXf8/jc4IDxhXn13/CJ2Gvm//zea5miFgwMODnydHFBen0H9su1Yfc/SXSTj+jyafd+KZdmFF9U2W34gmgBJGUZl922Fr5NFDqqtcOCrBTSKo6OoEfQ9ZX+oQMWK5SlXJoiynVdZfLTOSpu/7kfKW6wf1pmmNStSoepPtIkcxSaroZWtNFN4wx/DOzL6yEdaV9LPEtupPzs+YwhmK1Ta8Ujg2bpwCudvxLybNv3s7Cjnv5wknUuJnSjjI8G7aAV+bNSSNq2bUr9qCWSSPBQPnWwUilXF3c3z2GH0oc7/MmccbTNw4MOlqdTx+5YeO81DCBvSOK4cHHBwwMGBf5cDAu8vr2VUVDf6jhjP1DkJJMyewm+DIunYYzxbburOv9igSnjF/ilRtAupRsWKFanRpBO95pwwnE2xkc3x+OvmwFcLaL5utv8Pqc+6z5bx49lmdCjULmqE1/wx9TfW3rL0sbYr/2dPlMGdXZPo0bY9vYZNZPX59/+fWOdyx0hlyg3+WJ9AfMyvDBsxnmnzV7H7wnOHNj53bPyPpRZ49ddSYkf1oWPHAcw9/Cjnc0z/MQ44muPggIMDXwsHBOTvXvEq9XOfY/xa2u+g014OOACNvZxypHNwwMEBBwccHHBwwMEBBwccHHBwwMGBL44DDkDzxXWJgyAHBxwccHDAwQEHBxwccHDAwQEHBxwcsJcDDkBjL6cc6RwccHDAwQEHBxwccHDAwQEHBxwccHDgi+OAA9B8cV3iIMjBAQcHHBxwcMDBAQcHHBxwcMDBAQcH7OWAA9DYyylHOgcHHBxwcMDBAQcHHBxwcMDBAQcHHBz44jjgADRfXJc4CHJwwMEBBwccHHBwwMEBBwccHHBwwMEBezngADT2csqRzsEBBwccHHBwwMEBBwccHHBwwMEBBwe+OA44AM0X1yVfCUHCS/6cEcPm+6pcESy8PkR8zO9Y+QBwrsr5fIkVPDmawLDIbgwcM5nVZ985vmcjMldQosxd14LqGfumTWZHbr9x9Pk6M9clieNx5qRtPMiyI6vwihNLxjEkqjMRwxdz8oXSjkyOJA4OODjg4ICDAw4OODjwT3PAAWj+aQ7/J8tP40xsJwbseP4Rwr/Auz9H0nbgbl4K/2vmCDzf3IVi+UOYceWDfcTIX3HrzDGOnUvm7X9Nns24x57pvenQPorBo8fz27A+dO/Qjm5j13H5XU6dlcrx8Z0Ytl/3xXk5J2d2ISw0hLq1wph5+UtllsDbwyMJ/2Ufr3Nqom6ECO84PrIKvqX788d73cPP86tM3kX8xAlMmGDnX+x6Lonfus04TnyXMEJD6lIrbCZfLLs/D5u+3lIEBXJ7wHM2LRQUcnJdxEfVazyHWzH9glmtH1VmNg3L5pXy1moGhLegcf1a1Bq678v7MLDiNXfO/cWxs3d4Y8ambJqV/at/kb/ZE/I53iq5tXoA4S0aU79WLYbuk9td6EeN9xxKF17tZULH1jQN+ZFaXZfzMLfKuxzKt/46g+Px//ae+L+o03rr/42nDkDzb3DZRh1Z5+bTe/apr+4r3e//GEBI7z2k2CsAWrQ/k4sxzei0+slHACKLwj7hQSprWnni0WIVOculWTzaNZxWrYewZN9J/toxh+iW7Yk98vJ/3IZPaL5RVkXyBqJ+KEaNQZu5nWH0QvmCI1NbUKpkc2ace2+jrQLv9vah4aBDJnwUstJ5vCWSYpLSDDv1uXZ5I9o+22Um5yeE0nXjCxvts6xIeDqfn9wL0XO//RuzZSmWTzI2heNTuD6/JO7g6LkrXL95i2uHR1NN4oTbd73YfPkmt25c5cKJvaya0JrvfOoy64G4GwtkpT9iU0QgktLD+KLZbdnsf+xJ1vN7PLJTV/GPEaErWHmN+B99kAR0ZNOLj1s8ldfi+dFHQkDHTZgWkcXze4+w2tRPqFc9h7dG8o2kBIOPK3QtgU8o01BILq4EJZmvz/BbsAT3NhsQMbx9/7Lhi30F5JBKyZM9o2jdaiCL9p7geNJC+rcO57f9T/kkGfnf5m8OrfwcrwVlJq/P/EawxJ02G+zrQdvj/VMpUqF4f4eE5jKk1ady+5M6ywotWc+5Z2XhEefTo00RBP6Le+L/ok4rHPlXHjkAzb/CZmuVCDyeWw/f8I25WJytlfMvP1NcYEKdZizIpauZBZXvdhBZLYpdH4+KLIrM/YMUljdzx7vDlhz7IOv6dOp8G846IylCeW8ODYq1YOmn8iL3hH/WHMLrvUSXdiew8xaeW5WzMjg/vip58jcl8Y4VS0vmWcb82IolVlzNVHemUcPjSwc0IKRsIaJGXw7kjGw1vE9ZRjN3HzputW9jtq/DBJ4uDKfjOp2VS5srYz1h7k5Iak4n2WTj/cCfg1sw9rwOLCq5MSkYDweg0TJOxZ2Z/Zl2w8qYta9DPm8q5S3mNcyHZ/HubLPbHGhKgvLWPBrm86R4922mFkXVHWb2n4bVpn5ivZo5bA5oPr0tpi2z5y6TjW098MgNoMmOL/ZUmUOarBvx1PsmjFXPDAun8HQpzYuFMOeWbl7mUIi115/YZ9aK/CKeZW6krYeH/YDG1nj/LI1RcHxISTz+AUCjujOT/tNuYG3lUd6YRPC/vCf+L+r8LF2Uy0IcgCaXDPtsyVUPmNcgD55fGaB5vz2CoHYbPsE6o+OgnKMDyxIy72HuNVlZL/l7eyJTRkbTodlP1K1ThzriX90GRCyyvojoajX91QKajltzADSp7IgohKzdZtKMCxBekNjQk28HHv3yXCCM6cz2Oo0D0d/g6l6dqTetLb+azMLbLXQu6Ipvk0U8MhGq4d2WzgR13sI7K/Wo7sR9FYAGMjjYpywtlj6zz0qTspxm7t6fGdAouTxpEAvNGWwT0EDGtsEMPaCzEim5OdkBaAzD8D1bIhozyaqUb0j1b18ZRN+PrdlKCe+3ENF4knVAo63GSi67CNDMYTNA84ll2lWxRaJMNoZ75g7Q2MEXi2rsfiDuCwXxabPOxDINb1nb2oeA7rtN9wu7yzUk/Ng+M5TwhV1lbiTc035Ao6H+n+JCFif+IUDzfksEjSdZl0WUNyf/+4Dmf1Dn/2LkOQDN/4LrpHN1fnMKuTp/XYBGSGFd20BarXpjn9CXA28zD0RTvOZUbpkJyNllS720mK7Vq9B8yGw27DvFjScppKWlaf7SM1Dkau2zE9DI99KjoIRSw06Z+a7L2duj4Fft4iM8W0wTL2ckVWK4ZhvPAO/ZGO6Ls1sZRp0z0jwKr1kTFkjbddbgDHw9gAY+JEVSrMFc+/yp/xFAo+DPsb+xR4dPdBMhG0CTdW4iozfqYLYD0OhYJv7Kr07jR1kwsV8YoDGm8fNcy7k67UdkwbHZApqPrSs7QPOxZX5cvtwCmn+WL2j3hRKD/zJzG1dwbGBxJAG90OsaPq7B/71cHwVo/ik2/EOARn6VaT/KCI51AJp/qudslfvVAxr5gwPMiG5K5RLFKV2xKtWCK1C2fF26TPvT9ND5h9vsnNSdhpXLUaVOA+pWL8/35evQYfRaLr7VScEqHq+MoGJQKb4tWoSCBSvx60mN8CY8XUO3SkGU+rYoRQoWoPLo0xrhVvWYlT9XJOi74gQWLkBAxBY+vDpF4qCOtG7dhOCSgZSu3YW4o6/UIEB5NZEu1QLxdHbCyckJF+8ASpUuTenSQdSbqC1T21vCu8usH9OBH8uUoky1OtSp+j1BwWGMWH+VdG0axYkJ1Csr0htAgcJtWfnoEst7t6RBcBAlgjsw81Quo3ZlJHNw2UziZ88mfmossfMP8FAnv2buoXtgdaZYQyBCCqdXTGPyhEEMnHXCYMFJO83siHB+3fPCYgwKb5YT6teYxUZuXBaJjB5k3VxIi+BwEq/oWm/08qMuU1jW1B3vHCw0quTp1JJICLbQuGRxenhp3NybsvSNbgx9FCH/s0xv14bh7eyCf9ekHKxMGncmiZOEKjHXDKb0jCS6FanNdFNfKH17bAGaD7d3MG3UaGKmTmNq7AR+HT2T/Q/MJXmBdxdXM2HEWCbF/sawUXPY/dduFk2bwph21ag/5aKBDl2NwhuOL45h3JDejNhwC7mQwb39CUyZNJWp4wfSPyaJ+7rxrMuj/RWeJ9AwXxhrrWMz09Rv/wkLjWkV+rtsAI0+jfrCAGhOvr3JroXxzIyfxNCo7ozecE2/ZujyqF6dYtHIAfw6JZ5pE3+hZ+9J7H1odE5Cl9DGr/zBPmYM6sPg0WMZN2Ecv42dyQ6TA1gfuLtrKJ9BcwAAIABJREFUOqNGxzBl2lRiJ45iVNxO7ugPemRyak4UHdu2oFGDMOLOatfal/uJjexAWGhDGnRdwh2twiPj5Bx6dGxDaMMG9Fhxj9Rbu1gQN53pk4YS1X00G65p1wVlMrtiIqlRSIKzSwGqd4ymd+/e9Bm4GL13HpBd+4XXB5gc2Z7WTUNoMHIf75KTmBMzkp7te5F44SPWH+UNVg/uQniLRjRoN5tL6qZmcHJODzq2CaVhgx6suJfKrV0LiJs+nUlDo+g+egO6JoldoLyxmsFdwmnRqAHtZl9S7z9iEImYyBoUkjjjUqA6HaN707t3HwYuPq/Zn6zWq+lQ+b19LJg8iSlxcUwd24+oEau4/N5yHbMANLbKzLrMiqF96NN3MKNjpjI9Pp74+GmM+6UPfX9dZwBbqlecWjSSAb9OIX7aRH7p2ZtJex+agQJIv53E3IkxTJsxnUkxsSzYe52Vbe2z0OTIF92Y/nCXXdNHMTpmCtOmxjJx1Cjidt6xfhZJl0f7q9sXKk28arYOKbk6sRISSW1m3MuFtk5Xvi3+ouL5kYXETpnLoiWLSUxMZH78YNr03chbXV5rv5mnmBPVkbbi2AuLQzPNBF7ujyWyQ5h6PnVdckfvKaF6foSFsVOYu2gJixMTSZwfz+A2fdloVEl2c8dAQjq3k+YyMWYaM6ZPIiZ2AXuvr6StnRYaa+NdtKTnZs4YaLF2pQM0Uzh/aStzp89k1rSJjBo5nsTDj6zuhx/u7mK6uG9NEfetiYwaFcdO/YKmJHlXDJE1CiFxdqFA9Y5E9+5N7z4DWWy08OgtNCffcnPXQuJnxlud79YoVj8TXnNgciQdwkIJadCTVdevsGXSEAYOHcqA3v0YNf8PHph5QuemTrvWBdVzjiyMZcrcRSxZnEhi4nziB7ehr+kgyX6e21GGPHkPM8bP5uBT++bRVw1oMi/PomFBV1xk9Zl0RiO4K69MpJLEGSe3IEac0W6Q7/9iXA0Zrl7VGXM8RW9dSL86j2YFXPH8vhfbtT6wWSkPuLy9H2XdnHByNTKzZ73l4eVt9C3jhpOTKyWHnNBq67NIeXCZ7f3K4ubkjEfjAYzs3JcVlzT0fNgfTaCrEy6FI0kSFamK97x8/oBV4TKcxfTNE7n/7BnPnj3n5XuDMCG83s/gCl64SIOI3Hxfu9inc2laPXxdC9B8yT3NAvThObdOzyJU5oKTtA5do9ow9I/HHOxbFFcnZ6Q/zeOJ5R5lda5k3lpNZJVgotbfQX0u/MM1VnevTuuEx+q6lNdiqJK/M9vNJguoeLRuFJOPvkf1dAENvGoRrxVwVY+X08LfFVnn7ZZ1Zp3gl9KBRNujxlI9ZFGLWgw//hHChGXNmifCcxaGuCPrsiNbl7OsMyMIcpNQI+6uftHXFJDF+VFlcJNUsw7ybNX7xTxXcnl8BSRObnz3i2482yJO4OWiRkidXJD9vFO/2Csvj6dSwa7sshgTmnKsAZq0UzHUrdCJdUaxkjOvz6d5uSbMvmwo6P3hwZQLbMXyRxrTUfrJYZT1qUXcjSxSz69m/l5Ld0X5yYkMXfMCxdWJVPatT/9Jo5m+/5Fm/ihvMjnYjyaLbQSjUBymb/FSDDE+/GyLHWlraOWRh7Yb9NK5rZSf/jy3gKZEW4bFLuT4K80moLgaQ1XPIEacMlpfXuwk+vtAQhfd065jAi+3RVAyqC/79Qoe26TLr86jadHvidr2WJtfyd3VHSj9/UCOqLswjdOx9SjffrVRiHYFySvC+aFeLKe1RiWl/D0P13WksCSQ3gd19CnJeH2VmQ29kVQYb4jYpszk3b11dA6UUil6KtMTT6BpooKrMVXxDBqBpokqsuRyUnf3oLC0MhMuppOZmUmmPEs/f4Uc268k48115jeT4RHSj0kTt/Lw1Qqae7pSrN+fthlj840KRdojtkQWQ1JiMLohpsx8x711nQmUViJ66nQST7zS0Ki4SkxVT4JGGAWNUSlIe7SFyGISSgw+rhnTqizk8lR29yiMtPIELqZnqtsqz9IJANbrJfM4w4JrM/ygLhBGJhdiquFXdjCHzM6RWQAabJSZtpa2ZSNYpxfwIOPcRKp5+VB7yiXNGiu8YGf09wSGLuKeVrEgvNxGRMkg+u7XScwqnmzvTaWy7VlxSxehJJNbawdRu4irfUEBcuQLkHaa2Hrlab/6ngFMKZJZEf4D9WJP5+guptsXgifftAA04lk2iVsQI7Ug3eawsPrCOn9VyfNo2iSeu0aWdPnFCdRssZhX2e7xSuTvH7KuY2Ekgb0xTLMMXl+dSUNvCRXGX9a0QZXMvKZNiDethAk1W7BYW0nOc0fUFjxhe+9KlG2/AkMX3mLtoNoUcbUzKIC18S4C+9zMGav81T3UABpJ/kr8PPMEb7RTRnh7grG1S1B/yhmTMZB2OpZ65duz2uibE4rkFYT/UI9Y7YKmypIjT91Nj8JSKk+4SLq47mTK0U9HkX61+1cJ2g6LZeHxbOa7jkwrv8rMt9xe1BI/twJUaB/DvsdaZWDGVRJaBFKgTgynUg0Z7a7TrnVBRfK8pjSJv2s07uVcnFCTFotfaSrNcZ7bUQYKjg74BlcnCdWm3jY0JpurTwY0y5ev4mP+sqHJvleqO8z40RNnJ1dKDDqmF7CEF1uIKu2Nd8kI1j8RR6icU8O/R+LsjHebdWZ+/nL+7FcMVycXAn7errcqCM8WEiI1AzQiVcJT5jeQmgEa9QueLQxB6uSEs6QsI08ZhDLVg1nUkTjh5FaWUXqULmdXhB8uTrZczj7wZ/8SakDi2XSJqaUpYy9RhV1w/XYAR3UKbcVRBhR3xclZSpFu2xBjUb3aN4bGwbXosuiqYbHOhrPCy11EfedD9UlX9LyUJ3XFX1KIjps0h5Tle7pTOGioZQSlrLPE/rICEROmbutCAe9QluljMqu4PzeEsoOOWdauSia+lheNl7y2fGf2RHU3npBmC+0GZ2bZrd4Kr7fQOUBGo4QHekHHWkLFX4Mp4Sqh1vRks3RZ/D2mHG6SSky4YrTLWCvki3ymtTDZC2gSGyIVx2zbDXoNpnxXVwqUGanV+lk20gLQZJ5keJk86gVKJ3Jpcik4NTyIvMGTuCoKOsJrVjTPi3vDREM0J8Wf9CsmyQZ8KTg2fjib3wrI/4imiCSQTpuNQourkple04NSQ81dB7V0K68TW9WXNuvtAM3KG8TV9KJY5E7Tw9mWLPj0J7kENBJJBcYah9iV76dnYXdq6gF5Knt7FkVabgx/a4VKNZGKowws7kXIgsfZ06y6zYw6efFpsdJobXrH5vZ+uPq1U2tyM0+NoIxnMJPNz2UprzCxkidlRpzSKxGU12OoIjUGNGL1Cg73LYrUGNCIj5U3mBQswbNqDBeNaJfv70lh95rE3TWMKvmBXgRIq1pxObO3/ZpDw27e9ZitDoOk4MWVc9zOMYS5LfapuDOtBh5GgEbTpEkESzypGnNRCw7Fp3L29yyMe804jJok+nAyrYaHAdCoq5JzoFcA0qq2XM4s6xWeL6axpzPe4RvQyT1i5L4G7r503GoK0i0BjViplTIfL2RAzAW9kCO8PcTAMh4UCF1MsnZ5TN3bk6LScowxHXgcHVgcr5AF6taoHi0l1E9G8+VGc1d8IzxhXn2pfYAmR75kcmpEGTyDJ2M5RCdSybMMI4z2cXVxZv/p9oVqU26Z7Qsqbk2phsRYIWqWN+dbS/5mbm6HLHgil3QYTyxEeYnJv64kZwcBJddjqiA1BjRiflGJU1RqADSZm2knC2aiaSVcmvwrK9WV2DN3VDxaGoqfrDnLzaLMCE/mUV9qJ6AR6bM63sVlIBdzxiazNYBGaiWISuaxQZR0/55hJ7TMzjzFiDKeWAOvVyZWwrPMCPTDRX6AXgFSqmbnciaRUGHshZznu03aQXF8CCWlYsAdnSJIk1h4vpKWMglBQ49rFNM6EGVHnfatC5lsbicjeOIlfflizcpLk/l15Rs1ETnP85zLEAvKevwniXFLOK6XJzVttPX/VwtoVPdmUFsECk7uNF9pplISVKh0GgvFcQaXcFWDkG8Hmfu6qrg9rToSEYjIOvC7Vmv4KYDGpbCp36x6k1CDo5IMOaHbgXMANOpFRkNzsf5HTAGJ6gEzf5TgJKnGVF2sQR2gcZLSZOnHnG9J53D/EkjytWeTcdQxIZ2XL1L1Fq2MjW3xrmikMdWNqozrnLmUKoaKYmO4P7JWq0w0RoojI+m/WjPQdVnUv8ILEkLyUnN6ssljazfynd0o02wMi5cuZamtv2Ur2X4h5/ZnPDrH3lWxdAupS7tJB3lmkIGsVU3WqWGUcpNQfdpts40ri3O/ihaaqsRe/xoBjYp7M2ojcXIhf+RuPZC1ygQ07kwSJ1eK9j2sH5Ppa1vjVSUGW803BzTyA9EUcStAd4uDIpC+LgwPnWVVeML8n6RImywxAIasUwwtJSEg+oANWjO4dvYKaSi5OPYH3IPMgFb6Nrrky0PjRTqttFlLVQ+YVceLkITnZi+s3yof72Vc69qERE1l3R+XeW66r1jP9DFPcwlopPkj2a1Tdoj1iUCwqJSKE65ohM0PO+mazxWfDr+TplSi1P+9YkkTD/J335MtlWpLrUSinrcmU0f+ljdp4jyQ80d0Edzyd7c8D4ScHT/LcCsSzR9aGtXaQyuA5s9+1gCNaGWTWoxXxZ/9KCqtaKJYsAlo7G6/VoNbYjB/fZa+VXEnzgqgETW20vxEmnYa6vZXnICJrkR1h7iPATQW9Sp5e+cCN9VqaRWZKY+5c24qP0mlNF6scY/WDQKbgMasTNXTPWz5SwuPhGf83qUY0mJd+F0fAewDO7vmw9VH3GuNx52SV0ua4JG/uxoo3ZpaDYnEYOXX0YHwksSGnwnQyP8guoibeqwbTxV1XfId/Cxzo0j0HzbWGQ1Fun2hqoUrsuieWxWJW6lPCFdvOVZU9xNoJHPFp1RDIkdOZ3nSGR6kqRAEnbCj55SVC836bQloNGuDwUJzn4RGMlx9StEwciTTlydx5kEaKkHQyAH2zB3VLaZWkyCpFW8WlRGEl4k0zCWgsRzvWiuHvXPGCje0PagOCiD94TcumG/fGVvo4ONKQM/9asWLWkHmlt/qviXf8TMytyJE6xY0ewDNJ9MOWSdEQPMDv1kQn8LKFnlwLdyT/VrdumaNtWeNsWddUHE/oREyVx9KNYxk5PTlJJ15QJpKQDMU7Zvn2Zdhs9OyffHVAhrFcVFr7oSTcx7CNxksIhat/bCeNp7OODm5UXq46RkVUcv0YFYdNaBxMlpAPwXQuJpp3z4K0HxYT5iHSLML3kEhhIeHW/y16zyO3TrUqgM0Lv50S7JYni1YYvEgbTs/53dFFr7BzIJlmjJjQ1u8y43BWPlrnEJ4s5YwXxlt1hrc+tTuaIvGMt/aGQvhKQsaiIDmrnExVq8zd3QlqOEvzJw9m9m2/ubMZ+0pG8KqUalp9/7i9/kjCK/bgMh5p/WWOaMkJpfqxUAiobLx2RF1iixODi2FmzSEBfpN2yTrF3+TdXo4pd2ckFSfpj+rYJ3odLZ2kuHi7Ev4BsMhk/Q1rchbcYLBLcgssymgEXgy/yekrsXof8RSQszc0QWZiwet14qaBRUPV7amcNGe7NUaTFSPFhAiC2LQnzlYUFSPmFvPg0I99uqtACJZmX9EE+hRgzjdoQwzWlHdY0btvIQstBPQPDvElE4NaNh1PIu3n+JhNsuQeVW5us8toLHQwpoKLcLjudSXuuBXbzBz5s9nvsnfAlYcyd5CI98VgZ+LqEgyjAOT9mjBqGux/lh2s4KD0UVwlf7E/KcaQexjAE1g74N6UC3WrQE0FRhv9EVRW4DG/vZrAI27FS2+SXvtvrEUUsWsuWr/ZwM0kPXsLxaNiKRLj0GMm7mCLdtHU0cipdFHAhoDG5QkLw6lgEcZBh56q1eIITxmbn0pLn71GDzHfNzNZ8GKI2owvKurPy7uoawwH16fEdAIT+bzk9QVC4Wh2AjFQaKLuCL9aT7aIWpomtGVbl+oMO6S3iqlea115ZUEf0KEPWtjReD1yblE/VQaf6mz2mVdUuhHhu3SuIQbkWbl0k5AozaOn2Ru1E+U9pfi7Cx6nRTix2G7EKPy2zV35Lvo6u+Ce+gKC3ni8wIaS6uuVSWIFW5oHmktNNYAjeIQfQI1Y+CJkP2+pTgYTRFXKT/Nf6oZ63YBmk+lPTtAo+BQn0DNGqs9b5CbNcaudUF4zcm5UfxU2h+pszNOzhIK/TiMXZpBYsc813hh2CzDZp9l/+KrBTQak6PGQtN0WYrtVsr3ElXQRW2hKT7wmMkmKApNt6dqLTSeoSzX2m1tA5onzPspe5ezjwY0WZdYE7tJY/7WTibxrI7or20p+pk1Vw9oChK1N/eARnk1hsoSCbVn3DezQJjWI7qcFfp2gBUhRZMufWsn/PI0ZakOaImPVY9ZNmGhhaZGnUPtPpJXrRE0rcnyTnV7Gg1aLrHxnRTL9PY8UT5YQmi+fLRaqV2IbGVK30JHmRvFBxw16ws5OyP8cAuI/nqj2WRdYmJlKc55G5GQ3WGrjIP0KeaKa5Fu7DISNOQ7I8j/3RD9mQBzFpoCGni3uiWertY/SJm5OZw8Ln5E7NKMYVXyUn7p2oOfo0YQOy2GQV0iGLfrXrZaU3X979bT1teb1mt0Pvni0wwORAfiUWOa5iNqOo2jMcHKi4wt703YOq2p1vid+bXyFjN+9KF41G6bgFiZ/p50c82feTn23H9mQEPqetp4ueDfLadAENaJUxwdQHH1Bm7jLBLvWN0qDy6ForD8ILic3ZH5ccnTijXacWRrsz3cN9CKy5nGQvMxgEb1IIkdoquT3e3XCDyf7zsV1oTUfwLQqHiQtMPIndCyXmXyStoW9aXK8MO81pnZ1OPs0wFN5sUp1PLxotrEc1qXFCW3167kmDyV9W28cPHvhm29m4Ijot+8NIQEM3elT7fQGPHl3Wpa5XGhUNQ+y/VEvpvI/C7kabXGQiA3mRHpW+kkcyOwzyGzfUEjULr5tuf3HHQvJuWZ3Fj2merxNa5rz7cJma+49dd6xrcsgYd/OOtz/K6RLUBzmL6BRi5nqsdcu64FoUImr279xfrxLSnh4U/4+tf2zR3FEQZ844o0JMFiv/5qAI08iW75XMgbtlYdkvvd6lbkcSlElOWChnx3JPld8tBKt6CZAxrVA5J2/K13L7O13uUOjGUHaDLZ8bMfLnnDWKt1XrK3TvvWBRWPr11HMxQFMl/d4q/142lZwgP/8PWAPfM8pzJMJoPdN18toCHrAmPLS9RnaAKj9+t9+jUtFyN4xBG3T/yK+zu2/1xIfV4lb8tVmEIfOQdEbaGTM14NF+rDtQovRLOo9gyNsa9B1ll+/d48KIBYo6A/Q2MvoFFv6mJQgLbarx6nrSWseE80Hx7/wME+xTWH+uvMwuK7jcIzdowdqw9kwCcCGvWH0yQ2LF1ZT7l2U+PGpRQPWufrxDZjH179UFNyI7YqHmVGmUQSUlyYTcwmsR+s/Ms6ydCgQHrZ87V11T0WhNZh7LnPqAbXBgXIMcKX8JxloT54t12v9zdXt0atiXbHv8NmkygzWelpZFptsIEHWWmpZOgECcNjo6ss0lIzsgWYYEearHTSsiVGIGVfH0pJJFT87W8Ti4aBGIGnK1vh75aPpotMzxEpL46lfMEIu4MCqB4upKGXOyELzb/3ovHxlug3ZxX35vQj9pKICARUeh9SA1W2rtTuAe5mEYbSd9O9sCd1ZorBNDI5EhOjN8fryxFds4p/xyDjOa9/aXaRupqW7p60WW963kCTSgyS0Yni7i64f9uZ9VY+OGpWWva3nxvQCM9Y3twXSbCV75Yo77Bnz/Xs6UnfS1QRNwp222UROU15Zz8Hbit4lNAQL/cGzDcHyWq3PinejRL13zNSJcdTy91cY5nKxnCzoAAiVerADlLsATSKg70JlFYhRhuPPOtMDOPFiCZ2tz9nQGPPXDcw01JI1TRJdDkzb79C43JmfobIqoVGwcHegUj1odezOBMz3ih4i3m9mvNJbvm6sN0Yu6s/FqsBNFnX5jIjSbPW2utypm7n+2MMK++Jf8N53NR5WPOB7UNHclAu8Gx5c3ytWi6U3NmjcXVMS+pOgKQUQ7URRvX8E56TEJIbl7Ns+KJ6REJDL9wbzLc4l6k+9yr1plHio+zXX+EFK1r4krfVajPgk8KK5p54NV2iPleqo/9Tx0r6us60WWbmgaA4zfCyZRh+Ws9sXXVmvyqS42vhbm69Td1IuHFQgPR1dG6zzHBuUV2KgtPDy1Jm+Gk7504aSd0DkJQaimUXJhDy2VzO7JwzZpww3GotNOZnCUU9rHikQepDsyUapY3qUYJ632ow31yJo/HykXo3IlH3/TDFQXoHSg3RQLPOEDN+u35vtRdcGOi0fqVxOTM/jyZaGE8xrLQEn2ZL9GPbvjrtXRdes65zG5aZRadVnB5O2TLDNfJwjvM8PYcydG0WyPyQkxykSwtfL6BB4O3hoVTI44yzdw3GnjCYthX31tKpTE1iL2psG6oHa2hXTIJz3uqMP6M7Agny24mE5nfBxf8n4i8ZCcqKI/T/xhUnlwJEJumkdznJK7pSNp9UDaKK9NpvdCAqt4BGxe24mrg7OyGpqjl/kHliKBVD5vFAK+QKL3bTp4wnzq7F6LAm2aBFUqVwOr4pQXXjuKIz3XwioEF5lUnB3lSfanZG5MM1lg/ozULdAUExRG+AjbDNCLxY0gTv743OLcivsnj8Uq7r6DSMO83Vu9W09GtEorkmzjyd9l5+ZSZNanRjfXLurVDWi9R8h8anU04f1oTUP/rwXUBnthpZJ4TnS2mWryKjT+vGCCivTqFGXjcC2q236a6gvBZHLS83CnXYaHSo2phCJdfiauHlVogOG18avzC6tiON8ipTauTFLaAd67PzneADF2Y1IcC7Av2SdFGrdFUJvDs3gyaFZVQevNdsowPSt9G5UG19VDtdLt2veiF1N4oWSAbnYmpQIHgCFwxsQ3h3iH5BBQmZc12ryRJ4vbotZULHs3LrDnbuTGLvgcMcv/SY9GzBYhYXfrM8P5P192jKetYi/p4K4eUWfpv8l9H81VArvFpMY/9WrDbVeuiaYvqr/Q5Nhy1G64Y+RRrrwsSAJRqXWLuCDOjzWrl4v4oW7k5IcnR9UnI1pjLSQjrFiLYshXheQEr5sYYw1/Ir8dTLV4IeSZqAH5qUKh6t6s/wpJwYoOL+ilYEyH5i1k2jyS28YPPgYWwXLd0Z54mtmZ+qY8+ZKJvST42kQr6axJ436vy0rXTyl9Fxi0GdrXqyhh5B/kiM1xORSOVVYipLKdRzv2FNFPdwMQiEtDxjLxpMYqq706nlUYReBzR99HbzeOK0/rL2tV+MslMcd2vAT02KZq4XarsadfwZK11n+kijJXcvPpCjRmxTW8il5lZLhfockrT8WIyapAV07hQfaGwtVnF3ei08ivRC09S3bB4fZ+QabF5vptpK5lqgKzv1LBd4trkfFfN7qF1n5KdimLBTwzfNHP7GzE3UvExRjnnJzu7fIi3SzgTECy820aXxBNS6CfkV4uvlo0SPJMPZOFGAfLSK/sOTNOxSJrMktDDFIrabnMVUJi9S79fuzVeaAQhTLhvusudLxvlYauavythzxkqJdE6NrEC+mrEYD1FDmaZXaYcHULqQ6dlT4c0GwgsG0d8oXJxuX/iUsZK+NgxZtUmGfV8kRX6cX4LDWZujhQbStnbCX9YRwzRT8WRND4L8JXw/8qxm3U1fS5isGpP0woW6Eo7/Ekz4Wk3wHnvmjjJ5CaGFixGx3fg8lpLkRaHkz85d1ZS9Nsa7uAzEUNneOWNepv5eBDTf4Z6/MXNvGE1I3nNkUBny143jkl7UyOB8bE3yVx2L6XA5xcgK+agZe96wn6juMr2WB0V6HdCAmLebGR9nCADweWjXWmgkvtSbdslojVVwd1EoBfzqEmcg3k5+2bsuvGZtmIxqk66YWCblx38hOHythrs5zvP0nMtAyfWZ9ZFJChK+1j438K8Y0Ih8E0g5t5h+jcuQL28+gmo3JKR6OcrU7Mi0P5+baFeynhwkvns9ShUK5Id6TWgaUpXihb6hWvtxbNPHFdSNdIGXh2JoW7EQsm9qEx7xM+HNGtFu/C6WRfjjohZU3MhTejCo7jO3cUH8ZT54eXvj7eWLX/7vGXQ4k4cLmlLIX4aPlzfe3l74+uWnzBBtyM/0CyyMCKawR16KV6vJD+VbMPOcfndREyKknGPpoFDKF/YnsGJ9mjRpQLXyFWgQncBZrelZcXAAQfn98PXyxsfHF/9CRSgc2I2t1uQsXfOs/GbeWE7X+i0Yvmw3hw/tZOXMcYwYPZv9D/UzGoRXrGxZmNa2JL6080xvFkyriRvZs3MFcRNmc+CJQcAwr1Z+qA/f1phiEWXGPJ3hXuDtmdmEB9eg04QV7Dl5jSepOWmmDLktr+z8sKY6Yypnpjendoe5nHiSxvv7B5nUshbhCZcNC5m4Md9NpHmRfBQt3ZNNpt2pr16VvISWRWQE9dujNdv+P/bOA7rG+4//P+TepDQRm4ailKr2R0VR5VehVo2KvWIlZmrH5iYySAgSs9RWpfaocShVre0gQcgxEv4IOST5Z5yb/O99zut/7h6540nEap+ck3Of+f1+vu/P/q7HeEt/oOb2yk584FmHkfvMp02ZPyfiGfUtlnX8gHJVP2aoPWKMRSq5s2cWXT6tQ5sJK9h9Op6ES0fYPLcXDT5uwcjVF7G5uZPwiJXtKuO72WpjDs3ugtGD6dGyNmXcS1O9aTf8Qg/rahOe8efCAbTvEsDsmLWsjpzEgA4d8F910WIETPXgZ/pUL02l6jWpWeNDqnlV4H1ZCd6r4s2AZZfyjQ7oCk9lTYeSVBtx1Ngjpr2ecYxxnzcjcP2724c3AAAgAElEQVR6wqcs4Lj55hd6DLL3DaJaiyhEfTrC4Yc1BZ7s/QHvCu5U8B7LPsd7quprt/pRxbF23FCGDfWje8s6lCvtQWnP6jTpOoAhw4biv+hPy/Zl/8GCQd1pUcsTdw8vvDsPYPqOezzcp2BgF2+qerjj+VFzfAdGcFzbpyOQdm4ZQ3x86DdrGVu2bWTxzDFMWH7OggdWVJmdZnF17XBaftGa4fN+YuuWFYRNmsTiU6b1c0LqXyzya08X/1ksXr+FNeGj6NLej8V/mZ7RFZjDlZjvafjNaFbtPcy+TYuYpVjHlqDPkRX3pN63fQg/nk72HwsY1L0FtTzd8fDypvOA6ey495B9ioF08a6Kh7snHzX3ZWDEcV0bhDROKf7Hxy0CWb5+EUHTtpjx1nH7hZQDBA/8ni8/LI2750c09+3H4IhjFl+E1+q6V3mq1R7IRlM/mRlGZofK00QP7kHL2mVwL/0hTbr5s/xiGn8sGET3FrXwdPfAy7szA6bv4N7DfSgGdsG7qoe+7oFEHE9HeTqawT1aUruMO6U/bEI3/+XGnd6EtFMo/vcxLQKXs35RENO26Lf1t1lvHnm3f2bkVzX5vHsYWw4c4OfYuYT9fJGzC3zwqtsR/8Aojj3XfCfIoMMeVPvyewYq9oOdMjXbZH9QwoWqrUcybfp0pk+fwoThPfmq2nu4+sQaRyuEtHMsG+KDT79ZLNuyjY2LZzJmwnLOmWOYcZkfh7Wjw1AFP/66kw2LFExRxDC+hZxibl40+X4066y3JzOD23BoFxftAwKpfy3Cr30X/GctZv2WNYSP6kJ7v8X8ZcM+GMq0/M3kbFQnmvlGceJ+Oun3jhPp24xOkWcs9OjlZSWPrI2+1G4XwLgJYazde5TDu39ibkBfxv1s2HrdkrJ8ZzlXiPm+Id+MXsXew/vYtGgWinVbCPpcRnHPenzbJ5zj/2cjvrXbETBuAmFr93L08G5+mhtA33E/G7fZ1sRdYmxHxuUfGdauA0MVP/Lrzg0sUkxBETOeFvJiuHk14fvR6xz6ftvynl0gncmHgcWFPE5NbM2IPRfYFjaduTFb2Ld/C1GjOtNh2HLOW3+TSfOtvUV+tO/iz6zF69myJpxRXdrbWIcrkHZKwf8+bkHg8vUsCprGFq1TKUraDVPOPmGQQsEkRSxbdm9jWdD3NGkxhOXnNXvdav4KVqc4u/B/2ehbm3YB45gQtpa9Rw+z+6e5BPQdx8+Gvdg10blDPc8SUYaaxDU9+Kh8Hfx329hUyoKXupOXTmhslPlGLgnKNJ4kJ/MkPdf29CYDVYKStCfJJD9KJdt+rK1/WiA3/SkP7j8gVT9tJ/tZMg8epZCalklOnsOuYkONDn/VOS94/Og5SodF5ZHx9AFJD5+R5ZRmh9U5vilk8jD+POcu3eSRnW7w57/05uOeP1tMsbIsNJdnty9x6dYzi+zd8hnNmWZL1E/53wK9483/gP0rOfc5sX4+00b2pWMLb75o2JCGmv8vmtBzaZzVAk37xUBBEhpNOQIZib/z84olLFm1ndNJZr3MFtWoSVg87yXmT1sU9tIn6oTFzBM7mVvI5N5fu9mwcgmLl61l+/HrpDqUOYGnG7pRu9+vFg5cHNG5pCZeJe5+mnF+seE9dfJm+np3YfFVq6wwN5W47WPxLtcIhcX2T4Y3IethIg9tsSb7EfFXbpNqMwfO4eiIuny7NMmx/TBU4zChMTz0bvzmPb/DlYvxPLCj845bkceLu1e4eC2JdHtTKHOfc+faNe6+sAm8sXh1ejLx589y6bbOdmQ9iOfqjbs8fJZJrkP7aCzC5kH2ozguxD0ky04ZL9d+FVfCZ7PZPBi3ScXruJjNo7gLxD3MEifDqMl4cJ2L569yz8gbgezUZ2g3q3vVJOc9586Vi8Q/yLRPb+5zEq9c4uaTbATySEm4TPztJFLSciw6LB2T6hyX3Od3uHbtLkYYHBdodVcg885Jtq5YzJKVv/DHXXvteTlZEdKe8kwzkKBO597lM5y5dIunZv2NVkTZOVWTnhzP+bOXuK0tLIsH8Ve5cfchzzJzEYQ0nuoqIf3eZc6cucQtB5WI0Z3c54lcuXSTJ9kC5KWQcDme20kppOXYMxh2SH+llwWyHt/k8rV7pDk2U9rY5fmda1y7+yKf37IgMfsRcRfieGjP8Fg8XPAT0y5neQjZT0i4co17zokXUZEzuyCQ9lRno9Xp97h85gyXbj21GDG3qMSmnhewDIsC7Z/8YxIa+02U7hQpAjmnmdzkO5a/7LqAtD0MaTyQX0UMlRcp/RaFFTShsXjZ/onwjF8ilnLDYSJg//WivSPw7JcIlr5KYjKPE+jdlTVFttObwJNlbSjfa5vF6JcJl+esbl+aLhuskh3TAwU+ElK307/xMPaJ+KiktvDUH2nn6k6vgg6FFpgy6YW3GgEhhfWzF9rdtvytpl0i7vUiIMnK68X7H16bKaF5KwKNtwJtKaF5K9jwLhEh8HxfAD5jjlhMvyhYC3K5Gtaebisdf9CyYGUW5ulMNncrRalum+1MXypMmZBxKowZW6w+Cle4ol7+rYxThM3Ykm+3mZcv2LwEgZTtg/CZeLLIcFTFRfK/et0tvspsqDE7bjHt63bmR8OCM8ONQv8quaBoS4+fkkX3+mo/EOdahv67CtxFWmgqpRffPgRyLi5k9iYnuyS+fWRLFL0BBCRZeQOg/4OrzD06gqoyzYc1nQ4p/YNRsGyalNBY4iGdiUFAeMGJ6b0Yf8B8wZ+YF3XPZJ0Po8+IbTx44yPOAg83+lK5fBsWXy+iwFR9i62Ldxp3cBKPyqt4Us2trYvZadh95VVUYShTeMahib2Yety0OYfhVuF+BdIub2DKkIGMmDSLsOilLF0YyvRAP3oNnsW260U3OpN5Jpjeo3YWIOnL4lLY15SpMZhdb3SEsXDISm8VEQLqRLbF7OCe1EFaRID+g4uRZOUfzNzX3DQhhYOhQ+jRujH//e9/+fLbXgydf/wlOphfM/2vsDopoXmF4P6ji1Yls1cxQ7/YTXxLhaeHCZ+2jvgCblogvoaCPplNwu4QBnfrwbAJc1h3zrCYrqDlSM+Td4dts2bx68tOR8wHpYDyRQopztbH5XvP+QXh6SHCpm/ghhh5FFI4uSqYKcN70Wv0Io7eN98Zx3ld0hMSAhICEgISAhICEgKvBgEpoXk1uEqlSghICEgISAhICEgISAhICEgISAi8BgSkhOY1gCxVISEgISAhICEgISAhICEgISAhICHwahCQEppXg6tUqoSAhICEgISAhICEgISAhICEgITAa0BASmheA8hSFRICEgISAhICEgISAhICEgISAhICrwYBKaF5NbhKpUoISAhICEgISAhICEgISAhICEgIvAYEpITmNYAsVSEhICEgISAhICEgISAhICEgISAh8GoQkBKaV4OrVKqEgITAvxkBtQqV8G8GQGq7hICEgISAhICEwOtD4B1NaAQeHwhj1KjRjAn8gR9+0PwHMmbUSCZviOe1fOcs83fC+3Shvc/XNOu3ksQ3/pHIVyw0wmP2zOhF57at+KrZcH55JiJaUytRvgMfsc38PZw+Xdrj83Uz+q1MFP21+FeM+FtavMDjPTPo1bktrb5qxvBfnuFUEt6EHLwJ/cxL5veYCQzxn0Tw/CgiwxRMC/6Zovpma9EIRB5pSXH8/cdprtxNxf7nZJX8GdWXrh18aNGsK1GXX4dVfRN1Fg2qb6YUNco3bGDVSiXvgIl/pezJO7OIAd93wKdFM75fcOUl449Mfg/vQ5f2PnzdrB8r//GBxStlzUsX/m+LDYTHe5jRqzNtW31Fs+G/IC7Me3tswDua0ACCmrycVC6HfIW8mAu1AvbyMDMX1StILHKSE3mQz/ML5GXcZV2PSsgbBRP/Ovz9S6vnyxWgzn3B9eg2uLu2ZtkTJ2Fs3gUU3u8jr+HP/rSXq/eVvy3kkXF3HT0qyWkU/JoS4qJoVE4yifkFsyhKdlyGOpcX16Np4+5K62VPHCc0r0EO3gr9VCezpc9HfBqwnxS9aqiuROFT2ZPWS5MdY+QY7fx3C8n3vHu7CR4znuDlv7B//y8s8PPm46/8WX05M38dGhObl0nSNj+qyT5mwunXE7a+iTptNv5tuWiX13lcUHjzvrwG/q/UwOaQnPjAZuKbd0GB9/tyavjv/3d/pVzIIzN5B0NqyKkz8S/xCZ4d3gp5Gdxd14NK8kYE/xsCi6LUNTuYOq/Cjpy/q7GB8wbbeUJN7ovrRLdxx7X1MpyHeW+XDXh3Exo9O3K29eT9YjKazX9VPesqLoeMIeaerUxJxcUZn+H2L0loNJDnHhmOl5uIhEZ1lfktylCqTiCHM+zoztt0WXWRGZ+5vVMJjepyCGNi7r2ZEaXcIwz3cnOe0LxyOXg79FMVH4J3yeZE3THZCdXNFfTwbsHEA8+LNKEpFN/Vd4nt8AU9l53nhaEvIvc80+rLkNX6gd9zbCujOiGcJm6vL6HRUPEm6rTd+jd/1T6vVVyd34IypeoQ+CoNrOoyIWNisOX+VFfn06JMKeoEHuZdMPGvlJvq28xv5laghMY+b0F1cQafuUkJTUF55ghTh2U5kHPewdjAYVud3szlyHAv3EQkNG+bDZASGmfMFZ6xvntHom1ZdFRcmiklNM4gfCfuqy4x851KaASere9Ox+i3PKF51cx/S/RTm+iX6sYWO4lB0cFQSL4r9zOkYnGKuXdna5aBmkw2dHblP7LGhN4wJWKGu5pfdULEG0hoXn+d5m1+e44LyesibIDwbD3dO0bbTGiKsJp3vyh1YgETGse8VV2aKSU0BZYKx5g6Ks6hnL9zsYGjloq5Jz6hEVPa63xGSmicoJ1zUUHj0i1ZKCU0WqREj9A4wfWtu/2uGa2ciygal6blwn93QvO26KcuofF99QlNofmu5Pa+GBZtv2rqTVffJKyxjOLl+vJrum2NlBIa27i8lquF5nVRUZfDRUVjSrdcKCU0ziAtaELjhLdSQuMMcBv3nWBq4w39JSdy/q7FBvYbKvKOlNCIBKroH7M15SzzjwUM7tmVDj6tGLHlIamXfiE6Yh4Rc0bj5x/GwSQRC15Ut9k1ZwCNK7hQrMQHNO8XQEBAACOmbuGm8XXTCM21p5fYumg+UfMVjPbzJ+xgUr7FgapHJ1g8fjRTw+YTNmMUg8cs5pRhwr1daDL5Y8FgenbtgE+rEWx5mMqlX6KJmBfBnNFDGLHwd56oQXn3MCsjI4kMm4z/oMmsv2w9CSCbhD2LCAkJIyJiLlMC/Jm98xbZxnoFnhxQMLB7Z9r5tGX28efEbYtkztgB9Bi3lVv6KfTWCU3e5bVMHjeBSUFBTJ40jQ1XVKC6xk+j+9Dtuza06r+cG1q8HLXDD/+wg+Rji5DKuTUzmTRzLsFTxzNt6W+c2LGEsNAJdGrUhRV2F0zq29JDs2lDKwK33+bculkE/jCBcSP8GTNnLX+nGJmoQ8BotK7x9NJWFs2PYr7CjrxkJ7BnUQghYRFEzJ1CgP9sdt4yIakvkIdHYwgOX8zylStYtmwpS0L98Z1+nFwD5qpHnFg8ntFTw5gfNoNRg8ew+FSKk+lJKm7vmsOAxhVwKVaCD5r308plwIipbDEJJpBB/LZQgqYqCA0PI2TWZKbH/M5DkUshVA+PEhMczuLlK1mxbBlLl4Ti7zud4wbiraec5V1m7eRxTJgURNDkSUzbcAWVTTkoBG8MeJn/Frl+qnh0YjHjR08lbH4YM0YNZsziU8b1MOZVWxwLjzgQOhL/zp/yvuwj2gzT2YmAoQPo0bW9xUJh4ckBFAO707mdD21nH+d53DYi54xlQI9xbNUrmH3cxfLdgjqHJ6r4MJq850mLeZdNMmn1ht2EJusmO8OnMFURRnhYMLODphJ18G6+tRbCi4usmz2JGSHBTJ8whei9J9m7PJzQad1p/L9QLlqpoab611+nwLM/VqCYOZaASZu5oRTITjzI0tAQwsJmMWaUgj13RCoOzuysGcDZt9gVOorhY6cxY9ZsZkybw9JjD1DhjNcqrv00mj7dvqNNq/4s1xlYVFfWEaSxxZMnMXHcD/wQdYSnmumF6vvsmTuWcRM118ez7K9sshP2sCgkhLCICOZOCcB/9k7MTZjq9i7mDGhMBZdilPigOf0CNHI9gqlbbmr9muraT4zu043v2rSi//Iblr4uI55toUFMVYQSHhbCrMnTifn9oWltSeYfLBjcU7vhRKsRW3iYeolfoiOYFzHHpu+0rxNmWNo5dNZOKIRfQiAt7leiZiuIiAwnRBHKj8f/JFzUlDNnvNU1xJjQXHvKpa2LmB81H8VoO37SoR8pTPvsgAlk39pF6KjhjJ02g1mzZzBtzlKOPbBU4oz4bYQGTUURGk5YyCwmT4/hd6Pj0dHT6/uOtGnVk8VXde+qb//MpP4a29iKVpMO6OMSsbSLw9RWq5zJufadgsQGFNKPONKJISNY+PsT1Ci5e3glkZGRhE32Z9Dk9eQP85zEJsITDigG0r1zO3zazub48zi2Rc5h7IAejNt6Sw+RdUKTx+W1kxk3YRJBQZOZNG0DujDPhg1w1A47cbGQeo41Mycxc24wU8dPY+lvJ9ixJIzQCZ1o1GVFgTbc+meO0KhyeJ6wBt+KrjQdEUrwygv6eeMZ/OZfHc82S0X0OKnJUypJ29YHT3lz5idkkZOTo91VxjAFHcOUs8/6MGnmcs7rJ6dn/OZPdc82LDUb1VE/2MbA2tXw3ZCsX/Og4nbst3g1ncvFfBsOWKqeKuc5CWt8qejalBGhway88EIX9Gb8hn/10nwzK5bw8P0kaX2uilvzm1Pqo0BOmE1/yTo2hkYtZ3LCsG1F2lFG1ynH1/OuGh2NkJfF0yuR+LiXpsOYuUQcesT1sMbIzKakWCc0ZJ5mYn1PPukxl+3nksjQ2ic1yvS7bOxdBXn96VzQ2zvH7fCkzVKz0QbhOb+NqotXt/U80MyGEV5wYFgNyrZdzt28J/y+ciW/O0gGhbxsUuMX0dbDhSreA5l/4rGunUIqJ6Y1oXyN7qy9bWaI9Ubrsz6TmLncsM7AlrxkcWxMI1rOPGHcASTt6GjqlPuaeVdNQY86cTEdOi2xkLP0QyNoPGSvLuhTP2DbwNpU891Asn62j+p2LN96NWWuE4FQ5ylRpm2jj6ec5vMTyMrJIUez25BRMNM4OaMZ/+2/1SxJzODc3FbU911jTE4tpczsTJ3I4g6dWGImv6QfYkTjIew1yKp1QkMmpyfWx/OTHszdfo4krSDYloMC88aMNNNhUeqnmgfbBlK7mi8bTMwg9lsvms69mC9IN9GgORJQ5SpJP+CPl5sPS+5na+2ExlZkPNjFsJpmC4WFPLKeXiHSx53SHcYwN+IQj66H0Vgmo3HoDXCCu3O+W1Jm80zIIOnyKQ5unseQNq0ZtvwcaUa5yf+GzeQi4zSKFp/Te+Ndo+0gJ44lHT+l7cLLGM1O2lF++NSLzqvv6wLezD+ZUM+DZhHx5KWfY92S/Rb6Yaj9tdep/JM549fzOPcqcxqW5n+jQpg67yD3tcm7iutzvSnTdgXJDnAy0C7Gzmqfzb7A/G8qU9d/H4/0+p91PhKfGi2Yf0OFM16rlenc3dibKvL6TDcYWLWStHv7GFlXhqxJMJfSDPZITfq1BXxbvSXT9yXw4sUxxjRqycwThh0K0zg6ug7lvp6H0YSp81Aq09jWxxN58/kkZOWQk6PZtVIPglpJ+t2N9K4ip/70C6aEJu0kM5r9l/5bzTr0Ms4xt1V9fNfc0suLipznCazxrYhr0xGEBq/kgj3f6UQnDLjb/M0S0U6gQH4JFXd/9uOzz/34+Y6+d0dI4+zi/nxeViZqDY0z3mraoktoPqPPpJksP2/u7638pAg/UrD22URSezH7wny+qVwX/32P9DFMFucjfajRYr6+0xLSTs6g2X/7s9WsdzLj3Fxa1fdljaHTJieNO6u/p5z5ZiNCLpkPf2fSf2W4dl5vHEUWS7sYTG22zJmc65ihnY7uPDZ4GT/iRCdKf8Os2HDC9yfpdEh1i/nNS/FR4AmTvUVMbCKQl/WUK5E+uJfuwJi5ERx6dF07Ui9rHKqHyDqhgczTE6nv+Qk95m7nXFKGTt9t2gAn7bCKi4XnvzGqrhfd1j/QypTw4gDDapSl7fK75D35nZUrf3feqWjG2H9mQqMVQs0ibxmlms/nulnc+nx1e1w9erPd6HXN0LBxqNzdnzLyFg6nnMlcvyTMshLau3rQ21jJC3YNrKLdDS3OjBbSNuPrWQm/PcZJ7TYo0F3SLhKUlaL5/Osm58FzVrd3xcVrMHvMdhLLPRlIDddGBBsrE0iO8cGteFkG7DY0XLOhQX1c607mjMHvaarSBqoyynZezQON78q6x4UL9zBQaJnQZHJ59QQmrrlK/n2SVFyd0wA3s4RGU7yjdnj03m5UTuHxStq+50rbVQanC9k7+1JG1hCFvlfHLliGG9q2yPnvbKutNHP/ZvInMkq3Wcpdw9IBbUIjw/XLMMfyIiQT4+NG8bIDMEF5kRn1Xak7+YwxwMvZ3psKzcOJNyQAGpqUh5kx46A2QH6xayBVNLvYGHmkeSCNzb6eVPLbY2iB/V/lbvqXkdPCxpSz7JNj+VizQN16BCvrIMO8NA7xrv1yNXdyttO7QnPCLYnn8IwZHDS0xyqhyby8mgkT13A1nyDYlgOdnInkjQNqi0Q/X+xiYBXNDndxZroFaZt98azkhwj1tL1Zhs2FwjpnISvbmdU6BePehQvc0yiYGNwd8N0BTKZb6kec37eTbWsXMtG3Bd8MjOL4I3OjZHpUc5Q/ucjhz4mfULJxGDcNuqN/Jff0ROqU8iZEGxULPF3TkVKaHREfGzKBXI6NrIas1jhOmdscyypfe525J2YxcetzBOUh/D+Q4dV7K48MJKPm9rymuNUej/ON3sTaWRVxoV/yXpmurDNio+bOom8oqQnyDOA44bXq6hwauJklNFoc1SQubElJz66sN+vwUSctZ3zYJa19EpJj8HErTtkBu432VmOX67vWZbKFM1Cyu38Z5C3sTDlTXWVOAzezhCabk2M/pmTzqHy9qlkHh+GlCWZMBle7oY6sVHPmO/KdYnTCSn4Mp+LbKd4vqRNjae1ZDt/NJr+krS/vDJPrmHVeGIiw9+uMt5o1NDJXvgzL7+/N/aRYPyLW79ojF1UcoV++R5mu6zCJ7B0WfVMS2ccTdPqcfZKxH5ekeZT1Bk1ZHBzmpe1INrA/7/w0PnW13mwkkw1dXC0SGg09oml3gqndtuFMzjXra0XEBi/tR3SbTNnWCRe8Bu8x200wl5OBNXBtFIwxhBAZm2hw0MZxsrJ0Xv1A2zmede8CF7ROSHvXclOAzMusnjCRNfmdO+SzAVqOidNtBB6vbMt7rm1ZZehoJ5udfcsga6hAbJhnztd/cEKjEUI5H44ym+IDZG7ogqtrFzbkC7zMYTEdiwmY5B+OMk3F0byauYEurq50MVSSuZ3eZUpQ3m8PWSoVKsO/8hKzG7jRYM4VU4V2jrQ9NvIPGWWc86OtSGsA5G1X6qYW6N/N+2sidVw/Yco5s6hB9YwbF27yXBOEqLJ4ei+egxMaIK88zBSkat7XJwENrJMAfdnGhObhQ34L8qFr9C2LIFD/mKYSrioa5k9oNIbaTjtcu2wwJkbqewv5WuZKhzUvjEUqDwylkqwOk/42a5fxro0DbVs0TuGm1U5gesMha8a82/qoTJvQiJMX1bMbXLj5XFumKusp9+IPMqGBnMrDdMmKhhJ1Ygw+pV3wrNuOIVOjWHfgPA+yBARtoJTJ9t5lKFFeEyybyYNKyaXZDXBrMMdGY6wu2TXe2ewfXAkXr+EcMUwPM7wqPCTWR46sSYThiu1fdSIxPqVx8axLuyFTiVp3gPMPshB0xOveMSY0D3n4WxA+XaO5ZTMuti0HOjkTyRvbVGqvFoV+Zm7vTZkS5bUdC0bdVKlQXppNA7cGzNGMrzv5M+qF+T6XNufV6xIaeYPZ2mF7i2LF4G6X7xYliTvJvczsL+S41R3JAaNDsXw1X0Kj/A3/D1yoMGhf/pGrzI10dXOhzqS/yUMgeck3yOVtWamd96QpN4/T42sjq+LPb4bE2LI67dnrrjP72hmuZOgCp/qudayC+kx+7VuOkt8uNwVyNmg2XhJjZ/WdJ/JvFluO+gjZpKZmm6acOuG16qqChvkSGhCerKWzZ0laLTaMeKu4vnASscYODhXPblzgps4ZkPX0HvEHJ9BAXplhxh4LTYucBXpXUTQ0S2iy9zO4kgtew4/km8IoPIzFRy6jSUSCHirddG2nvlOMThjBtz4Q2079iIhTv6TimuILZPJWLNF2RpjVp7rA9PquokZotG85460oPynejziKH8z9rlmLLA6178vkfLPYcgt6ITuV1Gxd9p+9fzCVXLwYnt/x8DDWB7msCREJOn+rLU9sQiMKC4242u/ks2hMvhNnci4ulnx5P+JIJ+S0XfnUZBvI46+JdXD9ZAqWYZ7z2ETTfK2/kjdgtk3fZhqhefjwN4J8uhJt27lrExoLG6DF1lE7zOJi1Nxb+DUy1w6YwjwlB4ZWQlZnEmLDPHN2/sMTGlc+nnDa2GuuabguoenMeuslJuaomB2LCZhcP55g2XunT2g66ytR342iuaw4FXwmsGjJEpZY/Mey9fxzsxptHxbEAGgTGnldgs6aB/55JB+PYfzAvgwZO5voddv5afhnyCsNtZHQuOET+8hMeUw06RShLu2HjWBo26qU+nwyp2wmh7YDWdHtUN9hVceKVB9+WD86pOJmWBM8GszgrINgyESpITmzFTQLPF3ZFnnxKvgbIittkCFSXvKSOR4znoF9hzB2djTrtv/E8M/kVBpqSmg0U5FSTi7Ar8VHeMqK8Z//FMPtw3bMPZGKoL5LVHMZxSv4MGGRtRthgyYAACAASURBVDwsIXbreYtm2DyxZ7zV91j4tQyX2lYyqS0kjbXfuVK84mCbRZpfFFJOssCvBR95yij2n/9QzO1D2s09Qaqh51qf+NZtP4wRQ9tStdTnTLYpCLblwH5CY4M35oRZHb+8fqq5G9UcWfEK+ExYZKWbS1gSu5Xzzw2Ntqrc7LSgCY2bT6zZKICpIKe42+O7qYgCHOkDtGIyvIPjbL5nnVwIyUv4Rl6CalYdRdqXc3bS17M4bl02aKeMqO/9RJfKVRm6X28g1PeJ8fGkTuAxY8eFrUrfRJ2g5v6ilrhVGsx+wyC2hricQ/h7uWkDcasBKVuka5M2p3Y251d6exTjvW5bzNYw2ijOCa/tJTSQzu6BlXFtpOCaJhfPO0to0AaLhCwv+Tgx4wfSd8hYZkevY/tPw/lMXomhL5HQ6DqhXKht5XO1LUtby3euxak4eL++obqgx5nv1DzsVCdsQGe4JK6d+oTGaYCdw44+pSn2Xjc2G6YsGCp6FQmNM3oK4EdE+11De6x+c37tjUex9+i2xXqtqOFBfXDqUtvmN6vS1n6Ha/GKDN6vc94FoUf0s070xUBp/l8xCY2z2KAo/Ih4ndB0DmkSGnndICzDPDGxiT6hcfMh1jQUbQaLvtOtbnuGjRhK26ql+HzyKds2W2XVqaEtRXw71HdW0bFidYYf1iuU6iZhTTxoMONs/g4zMwrtHUoJjT1k9NetAybVtT3sNWarIhn3fB2dSpbgA/9D+XqunFRvvC1aqTX+SzNCY5HQqEhY1Rkvz6bMOGX4JoaaO1HNcbWT0Nj7YKIucGvO/Fu5CM8PMbJOKeoGHjUbCjWQbDuQFd8ONQkrxzJgUF+GBYUQNmckffxCOJRsnqQZ6rLza3eERtd2mYtZb6zYhEaVwKrOXng2ncEpQ6CrvkNUc1eLhEadFMd1/eIEIfsx146sZsI3lZHXGM1x5XPWdSpJiQ/8OWQ9imKnKfkuWxtv1TX27L2FSnjG6g5ulKg2kmPWZQsprGgjp8RHY/MVZ3FBnUTc9TRdQitk8/jaEVZP+IbK8hqMPq7PJvUjNM3n3yJXeM6hkXUoVTeQo2ZTH3Vl2pYD+wmNDd5YEGd5UhT6+XxdJ0qW+AD/QjPD4CCsvs/kYITG5h7/YnC3x3dLWPKdZf0dhW/L1gzfdNtitDL1x3a4/qcYJX235ntHc8E6ueDFOjq9V8JC1o0v5mzFt2RxyvTfrXNG6tusGjeAwf2GMCk4HEVgX/rP3E2ikw6JN1EnvGBTt9K4d1mPefdS9m+atVFNCNfOrzOMsBpbbHUg0s5qdacE8narjOvwrArSnTrhtf2EBpQnf6CW/GMm/Kkk6/Aspu02KaYqYRWdvTxpOuMUJhMWRXNXZwmNimt79ppGYq2CGeHZajq4laDayGP5/JyQsoI28hJ8NPYPfVNF+k4xOmETPBDfTrEJjS7QK2HRo2xozkuO0Bjst6E4zaiEs4QG8X5EvN+1DabW75eQ085sCrjlkwLPVnfArUQ1RuZ3PKSsaIO8xEeM/UPnlOzRs76zjSlnorCwMUJjhaklveZn1gmNtZxrRmicJTTw8n5EpE5oSbeR0IiMTTSv2+yAM0KiH6FpPp9buQLPD42kTqm6BOZ37g5HaMR0VqBOYOXYAQzqO4ygkDDmjOyDX8ghChLmGckGpITGHA0bx8q9fpRz/ZoF+smfyn3BzDVOphYpgOokln/rjvzrBaY1G4a6Ms+w98hDw5ndX3sGwNac03wJjWaaSBUXqgw17B6iqUZFfIi3foRGydHoxVzQ5Ar6QNVhQlPKtD1txh+T+KxULfz3W80pdjTlzKmh1kZSRI0M0/UwCmqLIMwuSNY39AmNZsG1Re+qkMomX09cNMmFoTdWZEKj/M2fKi5VGHrArKdKFU+It36ERnmU6MUXeL6xH93Xmg8RazYe28UAr29YlPT/SFr+Le5yk1yZSM/kzN4jplN7R8q9+JVz5esFd3VtU+4jeK5mNFI3F79UyXasMptDry0m7zTja8vwGnbQXqm665kb6dd9rcU0Rs2uabsGePHNoiTdM1psS+Fr+PBKxh9M+qwUtfz3WwVpjhMaUbxxQG1R6KdmfcG37nITlmb1ZZ7Zy5GHr2CExtZHy8TgbpfvZkTnO9ToeiNk/ymGZ59fjevhNKMSdxd8jew/LtQefzrfW5oL+ZIL9T1iW7+Pq08s1rCo4hR8ISuL7yad3KsToxkZfEk7JVVQq22O+Nqq9E3UiXb9jCtfRZrP/89k76DKvPe1bk1IznEFioMGg2GDctF2Np1dAyohqxrAYeviMs5y4MQTXeFOeO0ooUF1hTkNXfEaspn1UxVmG8Qo+c2/Ci5VhmJpwkLw1o/QKI9Gs1jrDJTs9SuHq9FvKdkXPNc0G8EqoUGtWVNRipLtVuVbyJt3ejy1ZV4MO2gY2hDpO8XohA1WaKbLiW+n2IQG0nb0o6LMet2SphfxPNM+LciUM3v2W9cYcf5eLdqPiCvPJpC6i+m7GFBJRtWAw8Z1V4anM84e4MQTAfWdRXxTqiTtVlnv1Kmfauo1DAP7VXHBNHK1Gs1RJxL5leWmAJo6RNPuRF8M9Ob/dSbn4hKal/cjInVC24D8CY3Y2EQX5jn6QLouoSnlu0XP6wz+mPQZpWr5s996arK1DdDSJr4d6oQoRoZdM/qI/Lwp2JV3PqHJ2uJLyWKy/Osk8s4xpZ6cmj/8YdFbpB36dP2OtaYOK4eIqa4paOhai7GnND0Lau4tU7DSuN1NHuem1ENe8wf0HQ+6srTD6658Z1ZJzvkQmpapy5hj+h1LtE8quRjhz9xzTrosNfby3BTqyWvyg2VF2ilErh3XYFppAnmnxlFLbrbWJHsnfcu44OX/m2mKQ95NVvashUf5gezJyWK7IpxLmukJyt8YVsWNVjG6xWLW4Ch/G0aVkl3YaJxmlsGRETWRefVg0z3ztQZ6oa431WKOp8N2fLfWNNIjPGF153p0Vqxj+85d7Nqzn0NHT3HloVkiYU2c9bk26HahbNsYbphBnPHXNL54/0P6bjVro0h50W5M4OKF/28mOvJurqRnLQ/KD9xDTtZ2FOGXSNvQlbJfzSPefEApfTv9Go3imIaWnPOENC1D3THHTF9u18B/MQL/ueesW5L/XHUNRUNXao09pZVv9b1lKFbq5zdn/sVM7wo0DblsNmwrkLKjPx96fc9aw8rM/KXqrmRuoGvZr5hnSTzb+zVilJZ4g5yUpItJEMg4MoKaMi96bLpntq7KthzoEmeRvLFHp8bZFYl+5nA+pCll6o7hmH63JW2VyotE+M9FhHqi1Qu3VsSYz63XfOflSzdqjTtlNu1VyW/DquDWKka36YZ528Tg7ojv5mVZHef+NYUvm0/myGOz1F59l6VtPCju0YKoeHPdNb2suj4Xb1dLu5N9VkGTCt7MvmDSAc0uhEdG1qGiTzRxepkXnq6j2ycdmPXTdnbu2sWe/b9x9I9LJGU6ThDfRJ15F6aTb/1M3nmm1nuPZvMTUQtP2DZ9LifNmmxCSX9UADurSlhK2wrlab8i0UxX8rixaATBf+uNlRNe6wK9ekw1n0RvJErN3cXfUOr9SnwzV5dU6m7pFt26ePljMmF53FzZk1oe5Rm4J4es7QrCtc5AMyWxIa61xqJzf/dYplhpWvej7wSqN/WcUb4z/5qJd4WmhFw2M7hCCjv6f4jX92vNOvRE+k4xOmFss/lBQdrpxL+a+yXVDWLaVKTWkL0WSVvW2Vl4l3ShxpgTFvGGOUUWx054K9pPivQjosuzINL8REXC0rZUKN+eFYlmtiLvBotGBKMT2Uz+mulNhaYhWLJ/B/0/9OL7tfrON02xzzfQtXQViymOuVeX0LGaG65WI5eiaXeCqXlrLI+dyLnI2ABe1o841omOpoUmmoiQU+NqITdbayI2NtGFecOoYu2vjKDofFTJLhtN08wyjjCipgyvHpuwDPN0yZ65DdDQJjYuFp6spnO9zijWGXzEIY6eukJBwjwj2e/uCI3Ao33BDBvcj3afV6a0hwdlarek16ChjF8bR9qJ+Qzy/Yqanu6Urt6Ubn6hHE65yaaJfWn7WUU8PCpS/9s+jF1vvoOIOSxmx0IqR4OaUKvVRH5cO59JoQd1hizzBPMH+fJVTU/cS1enaTc/Qg+ncHPTRPq2/YyKHh5UrP8tfcau1++aJZB6Opp+rdowOHgVW7etJSpoNNN/TnBiADM5MX8Qvl/VxNO9NNWbdsMv9DApNzcxsW9bPqvogUfFz2jbdyzr41M5FuFHt6bVKe3uSY2vujFw3nHNsAs3N/rTpOYX9IvcxsF9G1mkiGLP1SNMalCNxr2GE7TuGvf3zmFAF2+8PDwoV6cVPQf4E2OYoCk8Yu+cAXTxroqHRyU+b9+PiZsSyEvZQ2DDCpQs5U6Zml/SeeZBUJ4melB3vv7IE3fPj2jeYzybEtJEtKM+3/YZy3rtrjd5JG3sSTXPylSvWZMaH1blg3KlcClRiqpfBbDxpvV8KjOeGQ71IzQN/UOYMWkuy3/ZxeaFo/j2y7ZM3H7bGOxnFkRecm+y0b8JNb/oR+S2g+zbuAhF1B6uHplEg2qN6TU8iHXxeWRt7E6djiMYP3EeG/Yf5dCOlcwePIBZh54Ye6qF1NNE92tFm8HBrNq6jbVRQYye/jMJIpqmWaOTejSIJrVaMfHHtcyfFMpBsxEZ4elJIvu15/uRCpZu3MwKxWA6dgpkU7yjiEwPXNZGutfpyIjxE5m3YT9HD+1g5ezBDJh1iCeCwCO9nFT18KDS5+3pN3ETCXkp7AlsSIWSpXAvU5MvO8/k4MNTNuRA7wxF8sbASru/RaWfQiqno/vRqs1ggldtZdvaKIJGT+dnZ8ww04vSHuX5xKc3I1ddJvtMDEN7/o+Py3robVAYh67vZs6ALnh7eeBRrg6teg7AP+asMRjEIe4GBBzz3fBU/t8srv44kp7DFKw7dI64q3+yeXJLvD5oSdCBh5YjmNqXlZyOHkyPlrUpY2Z3dOUKPPtzIQPadyFgdgxrV0cyaUAHOviv4qL5BzpVD/i5T3VKV6pOzZo1+LCaFxXel1HivSp4D1jGJWOniIHaN1Gnru7UNR0oWW0ERy1GTDI4Nu5zmgWuZ334FBYcTzXqroFiy18xdjbeyO/0CysY/FUjOvwQzfqtm4hVjGf6uqumTie7Oq7BaRDdv/4IT3dPPmreg/GbDIvtTRQJKRv4vkoLogwbn+hv5d7ciH+TmnzRL5JtB/excZGCqD1XOTKpAdUa92J40DpjR4yQepSgJrVoNfFH1s6fROhBXe+78nQ0g7p/zUee7nh+1Jwe4zeRoFVtgacnI+nX/ntGKpaycfMKFIM70ilwE0bTUxDfme7IFpnaautIXDvF+FdzvwRC2jliB/rQ1j+MtTt3sCZqFlPDIxjyiQvFPevSulcIhw1z+WwRpr1mT48LQY9DP1Lw8uySTDoXVgzmq0Yd+CF6PVs3xaIYP511V818ivCUk5H9aP/9SBRLN7J5hYLBHTsRuCneTK41NWRxLrIDDb+dzLoDh9mzLpJZ83awvF9Zirt68WXX0ay7XtCYwR6m9ltkuGNPzgsUG2gKK6wfEaMTn7Wl79j1xKceI8KvG02rl8bdswZfdRvIvOMZICY2uXZfH8d54eFRjjqtejLAP8a4Dkd4tFfno6p64FHpc9r3m8imhDxS9gTSsEJJSrmXoeaXnZl5MBWbNiCtgHFxXhIbe1bDs7LeR1T9gHKlXChRqipfBWxETJhn4KHm950foTFvzKs7FshMusKFGynGILjwdQkon97i8qWbpFg4z8KXKPpNVTpJcRc4H5dMhqGjVpXBM/OddUQX9iofVHN/Qy+8uy0l3jBDQVudgPLJBdYN+ZRyrWNtfsPCgip90KzZ5UylzuTh9cvEP8y0EbxZvCXqRJWeRNyF88QlZxjLU2U8M+74IqQ9JVXTU616wZ2Lf3P2yl2em4/WmNUiKJ9y6/IlbhZCIITMJK5cuEGKWYeoWdFoyr59NZ5k3QeCzG/ZPxbSeKojnhd3LvL32SvctUe8/VIc3ylS3hShfgpKnt66zKWbKfmmVjhuUBHcLQDuzvhujxpV6g1O7t7IiqWr2X70IskW+mXvLfvXc1MTuRp3H+MnTwyPqpPZ3NebLoutt3TPJTVuO2O9y9FIYbWduuFdJ7+vpM6shyTa7BbM5lH8FW5r9cEJYYbbBbSzuam3uXzxOo+ybI9cFZbXmp7SZw+f2PFZKtKT4rhwPo5kkzMg41kq+k2rDK0BIZOkKxe4Yc/ImJ40O9L4udtcjU/Wf5vM7FZBDgugE7aLLUA7bRdg96qQk0LC5cvcfqbpgcoiOf4qN+485FlmrpPE11Rk4XlrKsNw9DJ+xFCGuN9cUm9f5uL1R9gRWdDY0dtXiU/Wf7PETsGqF/e5dv4cV+6noZmU+vzOFa7dus+TFzlmI5d2XrZzudCYFkrO7RHx5vyIs9jEDsWv/7L6Pht6edNtabzZNGhNUqjkyYV1DPm0HK1jDTs1iiNPSmjE4SQ99ToREB6wxKci/XbazvjUtyJo5jWEA3aCeCOpZkGzIX8z3pMO3iwCEm/eLP6vuHbhyTLalO/FNrPOW/MqNd8DK222Tbv5vcIev4k6C0ur9J6EgISAhMC/GQHhwRJ8KvbDdpin5lZEM7yGHLDTIWMbOSmhsY2LdPWNIpDHlfCv+bTPZu7lG9VI58ycr6nnt8Nq0boNgpX7GVxRToM5Vwvd22OjVOlSUSAg8aYoUHx7y1DFEfm/enRfl5h/Sm12HIvb16Xzj2Zz6ouiJW+izqKgWypDQkBCQELg34ZA3hXCv/6UPpvvGafhGiFIP8Ocr+vht8NqYyXjA7YPpITGNi7S1TeNgPCCC2snM2jgSCbPCWfR0liiQqYwakBv/MP2c9fh6IzA4/3BDPb1wfu//+W/TdvTN2CpxeYEb7p5/976Jd78W3gvpF1mw5QhDBwxiVlh0SxdupDQ6YH49RrMrG3XTQtOixCQN1FnEZIvFSUhICEgIfCvQUB4cYG1kwcxcORk5oQvYmlsFCFTRjGgtz9h++8WaHRGA5qU0PxrROcdbqig5EXKU9Jzbc8xf4dbJpEuIfCvQEBQviAlJZ3XqcJvos5/BTOlRkoISAhICBQxAlp7/fTlfISU0BQxU6TiJAQkBCQEJAQkBCQEJAQkBCQEJAReHwJSQvP6sJZqkhCQEJAQkBCQEJAQkBCQEJAQkBAoYgSkhKaIAZWKkxCQEJAQkBCQEJAQkBCQEJAQkBB4fQhICc3rw1qqSUJAQkBCQEJAQkBCQEJAQkBCQEKgiBGQEpoiBlQqTkJAQkBCQEJAQkBCQEJAQkBCQELg9SEgJTSvD2upJgkBCQEJAQkBCQEJAQkBCQEJAQmBIkZASmiKGFCpOAkBCQEJAQkBCQEJAQkBCQEJgX8EAmo16negIf/6hEbIVRbi2wh5/LWwP993aE3LZt+iOJX7RlgtPDvC/FEjGT0mkB9++EH7HzhmNKNGzePQ09f8zRblaRb0+54OrVvQrF0If+W9EUikSv+hCChPL6Df9x1o3aIZ7UL+yv9l4X9cu5WcXtBPa2NaNGtHiKRQbyWHC+c/3sqmmBGlJnnHFHp2bker5s3o/+PddyKY0TRAnbyDKT07065Vc5r1/5G770IUZoa8+EOBXGUur9nLiycP+PfZ7ALB8048nBm3kXE9+zJOMZZOjdsT9lfGW033u5/QqJ+QeCe9UIqtur6Q/3m6UL7Tau4X0PAJeZk82ONPLVklhh50+Nn6VygAAuq8HF7cjKWDZ3GKlW5PzI0X5OSpC4WHOELVPEm8Q3o+SyqQl5nMzqE1kHkFcPh15ngvIQPi2iw9ZR8Be/Jg/41C3RHyyEzeydAaMrwCDvM6xatQ9BbkJTvyq7ExyTuHUkPmRcBrVaiCEP/mnlU/SeROfkP02gh6Gf/x2ogsbEXqXNITYulQWkbj0BsFT2jsyHRhyRH/nprc9ARiO5RG1jiUGwX069p63hjtYlup4vrC/+HpUp5Oq+8XnDdiqxH7nD283mWbLaSwZ+SneHg0JeyqSiwS/6jnhOd7GVKjKgN2pqJKCKeJzIVPppx9q9v4zic0QlIsI2aeLVSPrfrWMtpXcOODHhtIzhegO+eb+n40LV3fZEKjpzH3GCOrlqDE60gkhCRiR8zkrM0RGDV3Ir/C9XXQYcael5EBs2Kkw8Ig4FAeClOgg3fUd4j8yvUfl9A4kl/1nUi+cpUSmvxSIZAUO4KZtg1R/sdfwZWX9R+vgKSiLTL3BGNquBYqoXEk00VLpK3ScjkxpgauhUxo3iztttpjfU3NrWXtqeD2AT02JL/Czkvrem2fO8TrXbXZeReY1cAN15p+bHtUiODQNlTv1NXs7b3x9OjBL1kaspU8ir9Gsvb47W3GO5/QZO0bRquphUtodGwpvLAKSYv+fQlN1j6GtZpqP6GJav7aE5qXl4G3V0HfesocykMRU6++Q1Tzf15C40h+1XeiaC4lNDYEKYt9w1ox9Q0mNDqiCu8/bDTq7bqUe4LAQiY0jmT61TcylxOBhU9o3iztBUDnLRE9h3i9yzY7L4ecf+fgDCCQsqIN71UbxfF3aDrEu53Q5N4g2qcsnwS9TEJTAANi9ei/L6HJ5Ua0D2U/CXp7Epo3LANWIvEvO3UmD0UMx7vsHO1B4UR+pYTGNnC5N6LxKfsJQW88obFN3z/iamETGicy/eqxeYmE5o3T/urRKdIanOH1T7TZRQrg21qYPqH5UEpoXgOH1CTuDWFw8yrIihXHs6Ev/gEBBASMIupYKgICqUfC8OvRlfY+rQj89Qn3D8egmBZAr/5h/P5UQBW/jh/6+tLp21Z0Cj1tNmUtl3uHlhIaEkpERDhzAocSGPMnKTYydVsJjfrJSZYFhxK9fCUrly9jWUw0Qb0GsexOYSbzioTS5pSzXP5eMoRe3TrSplUfYuMySTy4jHkR8wib4s/AwFj+LMDGAerEvYQMbk4VWTGKezbE11+DdwCjoo6RauwpUnPHMEKTlsjBFZFERoYzxX8ggbF/Yl2d8Owsq6eMYlJIJBGKiQwbMo0t8ZkiG+1MBgzF5HD34AKmTZnD3PBwQhXTmBy8kcsvjEST+/cShvbWyUKbGcf06zOyOLVwCL27fce337RH8Yeum0JIPUKYXw+6tvehVeCvPLl/mBjFNAJ69Sfs96cIuX+zZEgvunVsQ6s+scRlJnJw2Twi5oXZwUGMvDniZQCDJ6zmfJoA2bc5sHw+kZFhBPn7MXb532a80eMhPOPs6imMmhRCZISCicOGMG1LPDrUHdVjKTPi5MHAAxu/QipHwgbRU7PQv1V/ll26zp55ExgzfgKB/sMZH7Gda9brI8ycY1riQVZERhIZPgX/gYHE/vnUauqFGFxBjL6+nJzaaLv2kjj5NSU0aSQeXEFkZCThdvVX4NnZ1UwZNYmQyAgUE4cxZNoWRKuUkdRcko5EMzZgNJOnz2T2rBlMD93AhecmnQFneqWRpaH09u3Et63aMOOYvpsv6xQLh/Sm23ff8k17BXq10urgkF7d6NimFX1i48hMPMiyeRHMC7PirzqRvSGDaV5FRrHinjT09dfaoYBRURwzGSJwJOda2fOjR9f2+LQK5Ncn9zkco2BaQC/6h/2ez04ZYTE7sOs/1E84uSyY0OjlrFy5nGXLYogO6sWgZXfM3rZ/WBBbpCml6OQ3i8SDscyZHcr8eaEoFFH8cn5vAaeciZNpDd05dw+yYNoU5swNJzxUwbTJwWy8/MJKh+3jZH4nK/EgsXNmEzp/HqEKBVG/nGevzSlnjvRDJO0vJVeO7KtYO64ift0P9NXqVSdCT+vnfhfY72g64R35AnOEbR2LxKtANltD0svEBOZ0ZnF1czDTp41hVPhxM53OI2FbCNFHU7Sypk7axaSu3Zn3d47u5axrbA6ZwbQxo5h3QhNL6v6U1zcyO2gSo8et5GKmmmfnNjBPMZfQWaMJmLqNBItRDCXXN84maNJoxq28SKb6Gec2zEMxN5RZowOYui3BzhrQTG7sXsBsxXwWzJ/N9Hn7uW+IO5XX2ThnKtMnT2PNhXTSr21BMXEawaGzmTJ3OwkFWcadc5eDC6YxZc5cwsNDUUybTPDGyxhDorxzrBgTgN//quLiXp8umlhv+ETWXTMQY46zjePcexxaGkpIaAQR4XMIHBpIzJ8pWLxdGHm1UZX1pXd2hEadp0SZfpgRH8qpM+EUGTk55OQoyTXkDapsUm+soEs5V1oEzGbG+puk7x5A2eLu+P6cCepcMpJ2419LRqWhBzHIg/J0EN6NR7H3gb6gvNssa1eRar02k2woW49ivoRGfZelHVsTet1sgYkqkZj2PoRet2CnNR9e7txmQgOqnBfc3TaI6vI6+CkiWHj4gS5xEx6wqn1pKvbcyjODxjqjQJ2HUpnO4REfIq8zgVMZGrxzUBoB1xSgT2gqdyIwOIpDD3Q4CA9W0b50RXpufWY0EELKfkbVr4LPwnijcqefHE99r678dM8KaDu0OZUBsjg/vzWfdoolPttQiJrH+4bTqOFI9j7WN16lJD3pFwZWdcG913b0pk2LX+Kmvni5lGXgHoOEqMhOvcGKLuVwbRHA7BnruZm+mwFli+Pu+zOZqMh5cZdtg6ojr+OHImIhhx3gIFbenPGygu88VoYt5MhDnZwJyctp61GZfr8+N2KOkML+UfWp4rOQeIMBTj/J+PpedP3pnnZxqbN6jDIjSh4MmNv+1dSVuLY7FV3K8EnnKfx6S88k1T1+GVSHMvX82WnQQ00ReudYuVMgwVGH0MEq8GBVe0pX7MlWM2EWhasIfS0KObXdenAuv5oma6acVaZTYDBRhxzpr0DK/lHUr+LDQhNzOTm+Pl5df0KkSgG5xC/9jqq1erPhtl7mJ3BBWQAAIABJREFUhUfsHd2Q6r6beKJVGXF6pVKmk/TLQKq6uNNru1GryHmRyKa+XriUHYhJrXJ4cXcbg6rLqeOnIGLhYTv8VZOnVJJ+eAQfyusw4VSG1g7lKHNNi6PFyHl2KjdWdKGcawsCZs9g/c10dg8oS3F3XzTuwemfTf+h5u7SjrQOvW7WQaYiMaY9PqHXnRapfaAgtqio5FfD3zGNqNs5hsuGTYxUyeyb0Z5a78sLtIZGjExnnZ9P6087EWsyyqgf72N4o4aM3PvYZK+cIibwaO8YGtXtTIyJcJL3zaB9rfeRW6yhca4fTmkvArlyZl/F2HF1bgZJu603JCqY3xHjC5zB7xQvTQEFsNlFZ2sFnh8Iwn95ArnPfqSde3OiDB3Kub8zpvp7tFio93eXg/F+T4b33OsgPOdAkD/LE/J4tqod7v9bRJLG3qkTWTJwHIfS7hHd8n0adB3EkJBjPNa4WnUCEU09abM0ySi36sQlDBx3iLR70bR8vwFdBw0h5NhjbUCvToigqWcblmoLNiEspJ1hUfcGeA/bzn1t2KTieui39N+mUUg1iUsGMu5QGveiW/J+na/xDVjHrVyBtN2D8JLXIPCEwaGbyrR5lHWe+a0/pVNsPKaQ6DH7hjei4ci96EIijY3NJinGB9dy/dmRlkOOUkmeqLBMyekgbxqP2ovBdefdXka7itXotTnZZKMLGCfZbIuNi+9sQqNtS+7vjK4up669KWd555jyiYxS3gouaoRElcr1M9dIMeQb6vtEt3Q1S2gEUlZ3oGSxkrRb9cQooJm/9KS0a0sWWW2Fli+hyfmV3mW/YMZ585VTAsnLp7DgpihpsMEiEZfsJDSaN7WLiuVu1Bl33CTAqLgypwHyqiM4KlIPdFTk8vvo6sjrOp5yJnOpyehjRnUB1RXmNJBTdcRRffKSyeHh1ZHVHs+f5vWrbzGvqRt1Jp8xCwictN+BDOSem87nJesz7YKB4fqyhMesavc+lftsM/XcqG8zr5ncIqHRPK26EYq33Dyh0VzN49yUT5CV8kahEyxSr5/hmkmwtJsjyN3qMO64IxwKJm+OeCmT1WHiKUPSpSH8EjM/k/Ph6N+NCWPm4eFUl9VmvCXo3JrXFLc6kzmjh8lRPZYy40wenPBOg+S5KXwiq8LQA2Y4aV7LPETAhzLKd9uAcU2m1jnKcKk5GkvxmkMDeVVGGIVZJK5O9bUI5dQeFA7kV/OKNqGRuVBz9DHH+pt5mOHVZdQe/6eR39r3b82jqVsdJhuYa48O/XV1wgJalCqJT6zJQZN7nNHVXSj5dSQJaiiIXqlvz6OZ3Dyh0VSk4kaoN3LzhEZLrGbTBzludcZhqTbW/IXc30dTXV7X5pQzsXKuk71SeCsuau2NKvU6Z66liLc9+fxHDr/2LssXM85j4QGSlzNlwU0nyJvdFmuLikR+1SSt6US5Uj7EWPk3sn+lt2chdjlzJNO555j+eUnqT7tghbPA41XteL9yH7ZZD+WbQWN+qE5aQ6dypfCJsd7pK5tfe3ta7nImVj8c0F5UcuXIvoqx4xoMbG9IpNuUx7nfAbFtMcfb5rEDvLTPi7bZRWhr1XeJ8ZvA0WzI2Nmfih7f8VOKrvNSdVVBQ7fPmHnJ0MGcyY5+Xny3JhX13Rj8xh8lm3R29K2AR+d12g5f9e0F9J90ktzckwTWkFG+808kGcI59Q1CG7/H5zMv6Ucg1Nxe0J9JJ3PJPRlIDVl5Ov+UZAzk1TdCafze52b1a5iZzEbfKpRqEso1Y6iSzcnxLfHfnwXq2yzoP4mTubmcDKyBrOogdutHo3MTdrFo2RHuGd+zySX9xVzOTf+ckvWnkT8kWkW79yvTZ5thpoNuyplbeT/2moUVjkrX3hNSWN2hJMVKtmOVrvdL48z5pWdpXFsustpNWLy8Oq1X/8A/P6GppxmBOWAcgbEARkhikUVCoxGuFyScj+OJRkAEJS8e3ObSSl8qyKyEUHPbelMA9T1WdihDCfeP+Kb/BMJW7uDUrReoBM0kuFf45zChiaK57D26bjTvdlRzI7Qx8nIFFFacBbC6ERrZe12xrE6j9HLK+e3V8SFnH4MrFqdk1w2kqVSojP9Z7BpQDlefWFMQ6ww2uwY1l2Mjq+Hi0Rtj57CxrDzOBtVFplE6wyiN1vDmT2i0BshmQlMPWaWhHLCp7CJx0NBTAHnTBbe2eSlz78k285xAFU9wIzkVB+/Xy34O+wZXpHjJrmxIM8dcRdauAZRz9SFWnzk4qsdSZpzJgxFwuweaoLKe/ENG5Vt5qOSQ/weUcPMh1rAFod45vtd1o36KnK5YHY/K4WduecXg6kxfi1JO7SFgV371bdOM0IjQ35x9g6lYvCRdN6SZ6ZMKVdYuBpRzxSf2kQgbpCIuuBEy2RcorKYXqNKe8ULb+VAwvdLKUr6ERm9/bCQ0Uc1liOGv/YRGvJxrZU+z7b5tJbbHMdP1fP5Dzb2VHShTwp2PvunPhLCV7Dh1ixcqAaEgDkCsLSoK+f1/Nwn7UobsCwVWLAflHgaWLdgIjRYcBzKde2wk1Vw86J3fKJN3Noi6Mk1nophRGjU3w760KauaHZn2DCxrMUIjWj/s0l50cuXIvjq34zrxyxd7aC+L9Tvi22ISdjtHdvHSPy/WZhelrVUncvTwTfKEF/zSszxlvt+g77gUeBDrw3tewzli9Nu5nBjXhTmXVKgTj3L4Zh5C6mZ8y5ah20ZdcK9OPMax2ypd56ZbbcaZdwimb6WHZ2m6bXphaDCJx45xW6XrtHGrPc6i0zZ9aw88S3fD+Lhm/7ATgdR0cafDynukP73LlRO/snh8L3oE7dbNClIncuzYbVSqG4R6u9nvwLfDIuNlTZxYzQWP3qZZKMZ7eWcJqiujZLtV+lGaQiY02pAmgfNxT7QdFoLyBQ9uX2KlbwVkn8/EmEdqKxYrr0YqnR78CxIaV+pNPW/VG6THJZ9D0lxX8eSv1Uwd3Be/UVOJWLWVHeGdKC8zz+p179syKkLqGZYG+FC3vCvFi/2HYiXK0HDIOq4bFcgpTwr+gLOERmxA4bRmZwGsTkDl7r0skwhtL4acsgP3aINr4VEsPvJiuDcbSfSSJSyx+I9h2Z5447Qv5yTZGaUTHrOstZziNpMOfeDmUpsJhjnIYoMILUGaEZp6uNabynmbPSPicNC1Tby8FSg41Cc0FQbt0yU0wiNifeQUc2/GyGhrzJcQs2wP8fpZQeLrcSYPTrmnHaGxndCoiA/xRlaiJoEn9cN4BeKROFwd6WuRyqk9KJwEBOJ4IfAo1gd5MXeajYy20qclLIlZxh4Dc+3Rob2uZHf/MhSXt2aZIdG3fr6AeiWOfn0lBeCv3YSmAHKuTWhc6zHVthJbtzz/uS3/IaRyZmkAPnXL41q8GP8pVoIyDYewriAOoAA4vLT8Kvdop8vKfZbm70Qq8oRG4PGy1siL204iVXHBNJK5UHuC+ZrW/LDrrijZo5kiKPdhqXEI1/CsdUJTAP2wp49FKFcF0glrO65voq3YwzDl25n/pQBtMSBq99ceXoYXRMryK7G1z7fgW6YsPX42JBvp/NzdE8/uP5NmoE94wNKBP5glOAKPV3ekdKX+7Ew3PKT5FXi8oi2lKg/lgGH2LJB9YChVSrVm6QOrHgvhMSvalqLy0ANmsUw2B4ZWoVTrpZgez+PP8bVxkTdkcFQMS1esZduhC9xLN4wgmWgQHq+gbakqDCvkdw+Fx8toLS9uu4NfFUdwIxkutSegC4kKn9CgesJfq6cyuK8fo6ZGsGrrDsI7lUf2me2Exqm8miBwevTPSmiEpxz59bhpIbRmylk9V+pPv2C5IMkASz6HpObuxl5Ud6/PyP2PjO/kHg7ASy4ioVEncy3OsJBMybNb/7+9MwGqstz/+Pxl04gDaKYXM9O6lmWmmde6ckPMa1hqIpRLKBBalmaZqaSCmYImuC83TcUkU1PU1KT53+vtalkqDIsi4qi4jOIybMPyB+acM5//vGfjcBZ4MfKG/pjRc877Pu+zfJ7fs3yf7T3CtgVv8OT9nvgvPmMOtek//2uCRs+N1B3807IZV2VHvmwrIZoWeIVus1pGc5tYbCtUiw2U8tVwT1r4jGKnVQVkDEXL8eincFVGorNNFYeTild7ap6TJWfd8HgqmuP29Y4yRmE4HKHhgto4e/ttDWEZW0M0tLCdyXGAXX04toLG1h4ceG5zyfkMTQ1Hpz2Oq9szxJhfbOYkj+xn0VRybai8NqWd2qTb8tOp/RpdqM2Lsq0haFp4EVpnms4Sisovyvs7OuHi9jwL88xrKmwfbVy5chx/LafmOV5y9vlf1c2S2goa/Y1UdvzzlmF5g1o7Nwqap4h2XIhtE27/20H7cSkr29L+VN08w5FtC3jjyfvx9F9s/7yzK07s3K4uagr7NdifC279FnPeNsubStBY6mQo/Wo4ni18GGVfKaM9Hs1Trm70is22tL3OECl7vZTlzy5u/VhsH3G7GRrV5cNpeVRffzZkV47LhJNZy99D0KA+Lc75m+445WW678SW7ers36GuLd81hge8hrBRqRaUv+ofePuhVgQsq313j/7WZqLeTamd8dedZ0mAJw9PSDX0TXQ6c6EoY8fI1miGJVFo8g7K2Rfpx/0DVhreY6i3uFWqoR2MbK1hWFKta8r3Eel3PwNWKuHrMTqvIDn4PtycDo5aAqNsx0haa15js5WXtXdVfCv9iuGeLfAZtdNKZJme0x4n+ilXw0ytsUt0m4JGd57Nr3fC66l3+O6quXNUzcHxHXAXQdNAJlX/yOTO7rV7LnS5JESv4YpZLDdW0CgvEuvkinfwFsyaXolB1Z6xtDHM0NRQtC2O5TnGjLIbJalMZvSQVVbqW3laR97CF2g3JqU2MdoySsrNmV17+ba/3UFB8+Pkzrhb9lvoyE2IZo0FuMqOvL6ATcN8cev+CSdsMeivcXDXYeoMjtQHxqkNKJvFg/B2f554u85ZCVtDfQyViOXUV/1llgXYd6aqD73HI3UOBVAiY5qh+a2CppH29tsaQj0Fm4bh69adT+yhc+3gLg6boKsPp5r67aG+jDPeMwqajrxjPgXL/IjuHIv7eeD2xHTL3h7jBlP7PLJrHNVyTdtcf3ltjJ1qyyitMDd+5kSo+HRqv8Zn1eaFvmATw3zd6P7JCbvOoP7aQXaZM7eBKJXte4sOrr6EbLWMYZqe0HP1h70cLWtcudJfXkaA3Qyx8cWHdQ4FUEJR2/lR+iY/Tqaze+3eIF1uAtFrrhhGUtXaeUMdzwZQKWuObZYsV5I8egiraodfDV7o8hbyQrsxDXpncaC2LmqovVFlv2V8F+GHm7Kf0nYVQVUKY3xvZ8mZ83ZZOSAmyNud5+PzLPsKzOku2RqKj1s31e8WKvsuAj83Ze+cXcQNM43WhwKoLh9Oy6P6+rMhu1Jbpg1cfhdBoz4t5rxx+umUl+kJtWVala06jYWDG8YlX62eicE8Hqa/tJSAVsoeUvOyCj03vprIh/tql+Nrc+bTp9Wf+VBZVlb0De+8v8c46GpoU2oPEzAEWLqbse29eWX9NfTaTOZFLeCkqT+j9Bs6tfInweo0ltLdY2nv/Qrrr+nRZs4jasFJwwsr94x9AI+ApfYvdy87zYkcc9yMg02t/BMaccCLDRblMKggb9yfj8e+S7SVUB83ulne6Xh7gsaQbldvgrfU6UGzZ2wb4wxNTRHb4pZj7EKr7C/aJKO+n817hkaXz9KAVviO3GFU2BXfM2vOAdOeAaXf+RNTu3rwxHQn76kxFDYP2pr3GVTtJ7Kdi82UZCEH5/TDT9mAerSKS6ujSTRZg6Fi8nigdu1+ZTLBPj2Z9av1lICO0wteJOBz0wyNLpelgd64+A5itd3IUn1ZVc+96u+J8mtBi/aR2M5GKqdq/MXNkxFb62ywICu2F26+Y9hl2xbUE4wizvKXBtDKdyQ7DOWsgu9nzeGAxQ8duXF/wc1zBHWDyyK2lxu+Y3ZZ8qY6ewmBbTsy8hvrtf3K6STTiFpt39g5jVZ9NlCVTrz/A3R7/1AdgVSTk0D/tl2Z8J15A5ziewV7xj1Iq5e/wDygA0Xsn9Gbdi4am5HvGn6a2hWPJ6Y7fR+PKg6Ntbf68tJ2JkqbwZxn3GhjWuZn4FedzZLAtnQc+U2d5SX6wn1Mi1ptqeTU20xD9uA01yw3DI2/WyuenXEY5eRp45+ea7vG0dnzcd7ZX3synuFEmb+44Tlia52ZPW1WLL3cfBljNma1XDO/arC8qrJT7WkS/qbBxTeQZadtFbo5TU4+67NfpY9fX57XKb/VZC8JpG3HkXxjvQRHOblnWhSr7VowZ/E5z4bX/PDq+ylp1tVYyb+IHr/ccCgAjSlXFXsY92ArXv6itlRRtJ8ZvdvhorHZ96WcGKQmfxUu+UrnxJeRxoqIiu9nMcdcEam085qfptLV4wmmW0Y1nDBxdtm2/aCS5GAfes76tc4IqO70Al4M+NyZLw6uq6yLVLQ3auxXd249Q/3aM3zTZat9VnoKUsLp7OpGjznpdiLZQaRrL9Vr01Wkx/vzQLf3OWQ9alWTQ0L/tnSd8F3tQS21Pjr+pjvH+qF+tB++qc4gor4ghfDOrrj1mEO6pTiqLB/1xb2J7KreMq2mHjdof+X0w7aEf2dpfJWrqttfVKbFMXirq/XxUpw1okyrsVWrkBv4qufa2r+jeSaGDIMN6Lm2aTht3JR+nEnQVKUTNyGOdLO+AQqVQ6E6T+bHah35a6OYlmoUFIY2puVTdQYDa45+zOOeA1lToKf83zOJXJJrEulaQ/+q5VPWA7Y1HP34cTwHrqFAX86/Z0ayRDlhRXnFyDev0/7xj/jZKh76op+Ie2MUS9JNlbBW6UO15Em7wzQawGBzuyo9Hv8HuvF+3cJHTkJ/2nadwHeWAzn0XFkRiEedNsbGMwc/q/ZH0s7FhxFf1w6I6QsPMqefn+EwqaNVl1gdnWjqazTCXh2E5ehS8xY0yszer3EMfKwPUcuTWBk9lbXpSgHXc/PAPMKG96WTtwafLv0IGRtJTMply6hQzc9LiQgNoGtrLzQdejMkLIHDlVrOb5+Ef+duDI1NYu++7ayNm8eXRzLZFPoInV4cx4Torzmnq+HnpRGEBnSltUZDh2dfZcyMbVCZTOhjA4maMoW561JITd3D5oWTGP32WjLMekKXz8aQjng/Mppky8yGo6xp+Jr+5vfMj4ogbGhvOvho0Hh3oPfQMCKiPmP/9UqOJIYTGvBnfL00tO8RxOgPksgpPsSicSPwf9QHL40fvQaP5qPkvIYDM7so+5W4gY/RJ2o5SSujmbo23ShSqo6QGB5KwJ998dK0p0fQaD5IyqH40CLGjfDnUR8vNH69GDz6I5JNnavStHWMf6k/oTOWs2X7FlbFvs+k+FQKGjnQ7dgGjBHWFx9jTdRgXg2fScKGZDYu/pDgQSHEHrhk10hX56zjjZ4vELl8Fwf3f8Oq2Fms3DnfsN/nvs79CP5gC7kFB5gXNpy+nbzR+HShX8hYImNSLEcU0igO1SrtrUpVXvZ8ZTTTks9w64cFjA3uRxeFeYdneXX0x2w9a4Jamsa68S/RP3QGy7dsZ8uqWN6fFE+qAbq6cOrYjDN7MNtLA5/GGZoOhHwyj2mzl7B517esix3FX/sE8+nBK5Y8qjqSSHhoAH/29ULTvgdBoz8gKaeYQ4vGMcL/UXy8NPj1Gszoj5LJ06ksx2UqyivQoJ3qLrB++EO06diF4BWXG0ix/W3H9nsbeUEpaevG81L/UGYs38L2LauIfX8S8akFlnrPPnQHVypO8dV7gfT8WwTz1n3N1nULmf7+p+y2vBQB1JeranLWvUHPFyJZvusg+79ZReysleycr+z5uY/O/YL5YEsejctfJc5l/Bo3kMf6RLE8aSXRU9diqPrNyanPzvU3OTAvjOF9O+Gt8aFLvxDGRsaQYj5n1OxHPZ+O249KkkMfY2DUFKbMXUdKaip7Ni9k0ui3WWtpAOrx1OqWmroor6nsFyjP3sTEl/9O2OxVbEv5mhWfzWT2ihhe822BS5vuDBoVzyHzYLFVPJ19dWzTJtf6Yo6tiWLwq+HMTNhA8sbFfBg8iJDYA1yyCBBnPttcL89m08SX+XvYbFZtS+HrFZ8xc/YKYl7zpYVLG7oPGkW8JeLqyke9cf9NdqWuTNdfj/9fbd/DS0OH3kMISzhM49odNW2BDed6fjrj1fgyraKurScetrf0xf/m06C/MWrhdnZvnEXklHVsjQ2kd/B8tu39hsSpU/nCplxqM+Lw7x3OinWzmRizz3RMPdxaH4TnI+9hfTqyvnAPUd0HMTspkcmTVpFhGQC6xfogTx5575DViZN6CvdE0X3QbJISJzNpVUbtoIfuItsnBPDK9C0cTE3hy/iPeee9eaSctXioRIAgz068+y/rY2FtU6zmt57iY2uIGvwq4TMT2JC8kcUfBjMoJJYD5sJX8wvL33qdwMfbGPqUz776JhFTNmBenV9vKNrzbJ/kT+duQ4lN2su+7WuJm/clRzI3EfpIJ14cN4Hor8+ha1Q/SX2HsNkLGgPcqgJOHc8gv1R9wuvNFH0ZV3NOcCzjLLcs9lNN8fUiKwN14IO+hBs3FUGlo/RiJr8cPc7paxVWo14OnmmWl6ooOHWcjPzSxnWUnKRVW5xP1olM8osb25pZediQDdQUk5+dyZkbVfXnh77ckPe/HM/hmiJCawrITT9J3qXrFFc2kX1ZRdvw9XbtzdafxvzWFpOfdYLM/GKLaGjM43Xd3r49GAWN6ZSzqluczcxoOI/qBu78V0NcG1leG7JT5djP2asvOY9PfXcast/6nrW7p6U4P4sTmfn8liKFtoSL2SfIOFfo+FAVJVyV5UpffpWcE79wPOeaYXatpiCX9JN5XLpezG8pVlUFpziekY/Tqr9J7dwOtM0FPSU3bhoGeHSlF8n85SjHT1+jwjLzaOO8oZ8N1UVNbL9KdGqKL5CZdpLLClB9Iecyssi9cJXC8pr6601HaWnQpmsozs8m88wNqm6XkTncmmIuZKZx8rLSJukpPJdBVu4FrhaWU2Pnt4ry0VDc76hdmRP5O302RVoa4tXIqDdU16r3rpobp4+Tfq62nassyOFE2mmuW+kFa/8qC06TmXvDsppEuacvvciZK+ZR6VrXupJ8srLyKanTNdBTevEM9s51lORnkZVf4qDfpNzL4Ndj2Vx0VGnrS8nPvVTnOPjaWNzet5rifLIzz3DjNxc++/D1ZUp9f4yMs7dq+8zVxVw3HpVp/0ATXbk7BE0TwRBvhIAQuLME6giaOxt0k4dWtH0Wn1mvG2jyEMRDISAEhIAQEAJCwBEBETSOqMg1ISAE7giBmv9M4VG39rd9FOUdiaSaQKqzWf7JF5hX9ql5RNwIASEgBISAEBACTUNABE3TcBRfhIAQaAwB/U0Ozo8gdGAfevToQe/AYMJjdtfuRWqMX/91tzou7lzO1jNWuzr/63GSCAgBISAEhIAQuHcIiKC5d/JaUioEhIAQEAJCQAgIASEgBO46AiJo7roslQQJASEgBISAEBACQkAICIF7h4AImnsnryWlQkAICAEhIASEgBAQAkLgriMgguauy1JJkBAQAkJACAgBISAEhIAQuHcIiKC5d/JaUioEhIAQEAJCQAgIASEgBO46AiJo7roslQQJASEgBISAEBACQkAICIF7h4AImnsnryWlQkAICAEhIASEgBAQAkLgriMgguauy1JJkBAQAkJACAgBISAEhIAQuHcIiKC5d/JaUioEhIAQEAJCQAgIASEgBO46AiJoml2WVnPl7EUqml28JcJCQAgIASEgBISAEBACQqDpCYigaXqmv6+P2pPETVzEad3vG4z4LgSEgBAQAkJACAgBISAEmgMBETTNIZes4qi/voHgAQtE0Fgxka9CQAgIASEgBISAEBAC9y4BETTNKu8rSf+0L9595ougaVb5JpEVAkJACAgBISAEhIAQ+L0INHNBo6PgPyuZ+u505i9awOxJEbwdn8plrRFXxeFEwkNfI2hAf97aeIGirG9ZGhdP/NzJhEfMYUdupR3XyrN7iXtvApNnfMLsmFlEz0pk79kqK3flnN65gOkzYpm/YD5z53zMjM/3c97ipJIjiRG8PnwwL/UfzqJjNYZndRd38klYCENfDqR/VBIXDUvGKjicGE7oa0EM6P8WGy8UkfXtUuLi45k7OZyIOTswR1Gbt4vYsD486Po/uLTryxtR4xk/fgJT1qdjDEEJpj4eem4cmMfYkKEMCgxk+vdF5O5KIGbqOELeXk+WPQqrNMtXISAEhIAQEAJCQAgIASHwxyTQjAWNnqs7I+n60FDWXTApGP1lkoIfpvvUQ5QqvLWVFOVtJLS9B89GzWXuip+4pVduVPLTR93w7BlDmulRw9X0xQz402OM23EJ4+VqslcPocvT0/nZoBpKORLrz9NvbOa8RUVUkr1sME/+PYF0kyjQVhVzfuMI2ro9zMR/VhtzXl9DWcEx5r7ggVvfePJMe2C0lUXkbQylvcezRM2dy4qfbmGM4k981M2TnjFpxrjoaqiqKmFPeHvce88ls7ySyspKqmrMm2nU8KjgZlYiAzWtGDhxPvN2X+TCsgDcXR9n2lFLgozxlf+FgBAQAkJACAgBISAEhEAzINB8BU3JXiI6uNNjdrpJfBhpV34XTnvvIWy4bpAFoM0k5hk3WvWOJc2qz165/XU0HoGsuGp2d4oFfe/DO+gLLpsuob/OxqHeuLYbx55yqDw8lSfue475tjvyq48wtasnvT/NtMyWaNNn08PdStAYolfF7jdb424laJTL2swYnnFrRe/YNMvziuja/roGj8AVmKMIVRx460+4O1pyppZH9b9492FXvF9ayTlFC1VeJu3XPErMaW4GRitRFAJCQAgIASEgBISAEBACZgLNVtAQoyWzAAAFcElEQVSU7xpDGxdfRn1bhlartfyrPrcY/5YP8655ZkSbSWxPd9pF7seyKgyo2h1Ga/fnWWiaKtGmzeZpNzf6LT6Pec7DAKmykJtlypUqDkT54dp2HHutPTI4KmPzsJa4dv3INJOjiJRYejoSNGGOBI3ith2R+609rmK34vb5hZbZnPoEjWoeiqDp5M7jHx+1Ek9mc5BPISAEhIAQEAJCQAgIASHQvAg0U0Gj5+KSF3Fv4cvfJieybNmyuv9WbOI/V02yxCRoHp74T0yLvww5ZBQ0fYk3CZrKHW/g/T8eDEkqc5yD+kssC3DHpeNEzFqp1mElO0f50KLlUJIMa91uR9A4mM2xEz/OZmgawcMgaFry189thFttYuSbEBACQkAICAEhIASEgBBoNgSaqaCBkq9e4/4WbQjbbT2r4YC7SkFTnTqBDi7uDFh1zbiHxc6rIja+2gqXdpHUmUgxuKtka/B9tPAdQ4opOs5maFIcLjlTO5tjK2i0nE7ZRUZNI3iYBI1/woW6M1F26ZULQkAICAEhIASEgBAQAkLgj0+g2Qoa/ZUvGOztRu/PcursoVGQV2ftZd8Z025/lYKGkhTC2rvyp8h9VNjkW1XWfg6eq+HCigHcr+y7uWKz4USbTWwvN1oHf8UN0y3d6fk859Gx9lAAxU/9Df4xqGWdQwGUy87Ej2HJWZ39NtUcHN8Bj+c+I8cwAVXN/8bEcKAKVPNoUNDUUFpSIWLHxgbkpxAQAkJACAgBISAEhMAfk0CzFTTKfpK0OH9aPxrFPuPRZUbCNbmsHD+TH0xLv9CmMau7Ox3Gp9ZZclb57Sh83PuwINe8Y0bLmTVBPNj6JZbnWp0eoMvny3dn8H0JUPELsX9pS+85x61Ej56i1Hfo+mAgidlWzxUnE+zThtE7a+WRLu8fhHbR4P7sXLKtTlfTps2iu3sHxqdaL4qr5NtRPrj3WYAliujIjetLy4fe5gdlJkhfwIbZCZwy+KWSR3UqEzp48MKisw5Ei5asuOe537UdockFf0yLlVgJASEgBISAEBACQkAICAErAs1Y0Cgd+iJ+WTGWwAFhxKz5mm2bEpn57jS+zCg3JLHix8WMC+5HFx8vNA89x7A3Y9h96Tw7Zo7hlZ5+aLxa0/XFECKW/WzaIF9K+hdv4d9rIBMXbWRr8irmTf2Y1b8oasb4p795mIQ3X2bo+Dks37CORR+9SVBQFP84UevG6LKCE4lD6Bk4hfV7U9mTlMDseclsePsRXFwf4OmgN1nyczE/Lh5HcL8u+HhpeOi5YbwZs5tL53cwc8wr9PTT4NW6Ky+GRLDMeG40+qIfme3flRenrGXj4mnM+fZSrTCpl4ee6/vmEjbsOTpqvPB9zJ8RYyJY/GOt4FLeY5O39lX8fLryzt5Cc5LlUwgIASEgBISAEBACQkAI/GEJNG9BY8Faza2zGZw4dZVym9VgFieN+lJD4bkMTpy8TKl5Asf2+epbnM3MJr/YalbG1o2ynKzkItnHfiXtXCE16CnJzyLz9AWuFpZTc7tx1Zdz5WQap645extmU/NwkDC5JASEgBAQAkJACAgBISAE/gAE7hJB8wcgKVEQAkJACAgBISAEhIAQEAJC4I4TEEFzx5FLgEJACAgBISAEhIAQEAJCQAg0FQERNE1FUvwRAkJACAgBISAEhIAQEAJC4I4TEEFzx5FLgEJACAgBISAEhIAQEAJCQAg0FQERNE1FUvwRAkJACAgBISAEhIAQEAJC4I4TEEFzx5FLgEJACAgBISAEhIAQEAJCQAg0FQERNE1FUvwRAkJACAgBISAEhIAQEAJC4I4TEEFzx5FLgEJACAgBISAEhIAQEAJCQAg0FYH/B8/EPkb6My8CAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "id": "continent-trustee",
   "metadata": {},
   "source": [
    "## Protocol with Multiple Fields\n",
    "\n",
    "For more complicated protocol, it is helpful to have the states be more complicated Python objects. A recommended method is to define an Agent [dataclass](https://docs.python.org/3/library/dataclasses.html) that includes various fields.\n",
    "\n",
    "As a concrete example, we will use the protocol from [Simple and Efficient Leader Election](https://drops.dagstuhl.de/opus/volltexte/2018/8302/pdf/OASIcs-SOSA-2018-9.pdf). We start by translating the explicit description of an agents state into our Agent class.\n",
    "\n",
    "![image.png](attachment:89894d3e-7e28-4502-b3d9-8fd8204d55c6.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "id": "supported-source",
   "metadata": {},
   "outputs": [],
   "source": [
    "import dataclasses\n",
    "from dataclasses import dataclass\n",
    "\n",
    "# The parameter unsafe_hash=True makes the state hashable, as required, but still lets the transition code change the field values\n",
    "# Note that ppsim will by default make safe copies of the agent states before applying the rule,\n",
    "#  so it is safe to mutate the fields of an agent in the transition rule\n",
    "\n",
    "@dataclass(unsafe_hash=True)\n",
    "class Agent:\n",
    "    role: str = 'contender'\n",
    "    flip_bit: int = 0\n",
    "    marker: int = 0\n",
    "    phase: str = 'marking'\n",
    "    counter: int = 0"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "cordless-cycling",
   "metadata": {},
   "source": [
    "![image.png](attachment:aec19ba2-b3d6-4ab0-960a-3b7b8e7bce12.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "id": "african-surname",
   "metadata": {},
   "outputs": [],
   "source": [
    "def leader_election(v: Agent, u: Agent, loglogn: int, Ulogn: int):\n",
    "    # marking phase\n",
    "    if v.phase == 'marking':\n",
    "        if v.counter >= 3 * loglogn and u.flip_bit == 0:\n",
    "            v.phase = 'tournament'\n",
    "        else:\n",
    "            v.counter += 1\n",
    "        if v.counter == 4 * loglogn:\n",
    "            v.marker = 1\n",
    "            v.phase = 'tournament'\n",
    "    \n",
    "    if v.phase == 'tournament':\n",
    "        if v.role == 'contender':\n",
    "            if u.marker and v.counter <= Ulogn:\n",
    "                v.counter += 1\n",
    "            if v.counter < u.counter:\n",
    "                v.role = 'minion'\n",
    "            if u.role == 'contender' and v.counter == u.counter and v.flip_bit < u.flip_bit:\n",
    "                v.role = 'minion'\n",
    "        v.counter = max(v.counter, u.counter)\n",
    "        \n",
    "    v.flip_bit = 1 - v.flip_bit\n",
    "    \n",
    "    return v"
   ]
  },
  {
   "attachments": {
    "71c1bfae-1553-45bb-a443-32f7a64af634.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "persistent-split",
   "metadata": {},
   "source": [
    "The pseudocode was described in the following way:\n",
    "\n",
    "![image.png](attachment:71c1bfae-1553-45bb-a443-32f7a64af634.png)\n",
    "\n",
    "We can implement this assumption by having our transition rule call the the `leader_election` function twice:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "id": "signal-convertible",
   "metadata": {},
   "outputs": [],
   "source": [
    "def transition(v: Agent, u: Agent, loglogn: int, Ulogn: int):\n",
    "    return leader_election(v, dataclasses.replace(u), loglogn, Ulogn), leader_election(u, dataclasses.replace(v), loglogn, Ulogn)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "allied-inside",
   "metadata": {},
   "source": [
    "We can first check instantiate the protocol for various population sizes, to confirm that the number of reachable states is scaling like we expect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "id": "compatible-profile",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "ns = [int(n) for n in np.geomspace(10, 10 ** 8, 8)]\n",
    "states = []\n",
    "for n in ns:\n",
    "    sim = Simulation({Agent(): n}, transition, loglogn=int(np.log2(np.log2(n))), Ulogn= u * int(np.log2(n)))\n",
    "    states.append(len(sim.state_list))\n",
    "plt.plot(ns, states)\n",
    "plt.xscale('log')\n",
    "plt.xlabel('population size n')\n",
    "plt.ylabel('number of states')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "weekly-weekly",
   "metadata": {},
   "source": [
    "Now we will simulate the rule for a population of one billion agents, and run it until it gets to one leader."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "id": "liked-absence",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Time: 67.253\n"
     ]
    }
   ],
   "source": [
    "n = 10 ** 9\n",
    "sim = Simulation({Agent(): n}, transition, loglogn=int(np.log2(np.log2(n))), Ulogn= u * int(np.log2(n)))\n",
    "def one_leader(config):\n",
    "    leader_states = [state for state in config.keys() if state.role == 'contender']\n",
    "    return len(leader_states) == 1 and config[leader_states[0]] == 1\n",
    "sim.run(one_leader)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "normal-tumor",
   "metadata": {},
   "source": [
    "Because there are hundreds of states, the full history dataframe is more complicated."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "id": "occupied-guinea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
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       "\n",
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       "\n",
       "    .dataframe thead tr:last-of-type th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th>role</th>\n",
       "      <th colspan=\"10\" halign=\"left\">contender</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">minion</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>flip_bit</th>\n",
       "      <th colspan=\"10\" halign=\"left\">0</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>marker</th>\n",
       "      <th colspan=\"10\" halign=\"left\">0</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>phase</th>\n",
       "      <th colspan=\"8\" halign=\"left\">marking</th>\n",
       "      <th colspan=\"2\" halign=\"left\">tournament</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">tournament</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>counter</th>\n",
       "      <th>0</th>\n",
       "      <th>2</th>\n",
       "      <th>4</th>\n",
       "      <th>6</th>\n",
       "      <th>8</th>\n",
       "      <th>10</th>\n",
       "      <th>12</th>\n",
       "      <th>14</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>...</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "      <th>52</th>\n",
       "      <th>53</th>\n",
       "      <th>54</th>\n",
       "      <th>55</th>\n",
       "      <th>56</th>\n",
       "      <th>57</th>\n",
       "      <th>58</th>\n",
       "      <th>59</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>time (n interactions)</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  <tbody>\n",
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       "      <th>0.000000</th>\n",
       "      <td>1000000000</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1.000000</th>\n",
       "      <td>135336837</td>\n",
       "      <td>270661696</td>\n",
       "      <td>90227329</td>\n",
       "      <td>12028156</td>\n",
       "      <td>859080</td>\n",
       "      <td>38162</td>\n",
       "      <td>1148</td>\n",
       "      <td>6</td>\n",
       "      <td>10</td>\n",
       "      <td>8</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2.000000</th>\n",
       "      <td>18312018</td>\n",
       "      <td>146524448</td>\n",
       "      <td>195383216</td>\n",
       "      <td>104189030</td>\n",
       "      <td>29773512</td>\n",
       "      <td>5298122</td>\n",
       "      <td>641440</td>\n",
       "      <td>13908</td>\n",
       "      <td>30153</td>\n",
       "      <td>14976</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3.000000</th>\n",
       "      <td>2478690</td>\n",
       "      <td>44626126</td>\n",
       "      <td>133867363</td>\n",
       "      <td>160631023</td>\n",
       "      <td>103263148</td>\n",
       "      <td>41305948</td>\n",
       "      <td>11269344</td>\n",
       "      <td>556907</td>\n",
       "      <td>1287669</td>\n",
       "      <td>649759</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>4.000000</th>\n",
       "      <td>335736</td>\n",
       "      <td>10736616</td>\n",
       "      <td>57260444</td>\n",
       "      <td>122138990</td>\n",
       "      <td>139568370</td>\n",
       "      <td>99261227</td>\n",
       "      <td>48123925</td>\n",
       "      <td>4232398</td>\n",
       "      <td>10487317</td>\n",
       "      <td>5527630</td>\n",
       "      <td>...</td>\n",
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       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64.000000</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
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       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>65.000000</th>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>66.000000</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>67.000000</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>67.252549</th>\n",
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       "  </tbody>\n",
       "</table>\n",
       "<p>69 rows × 384 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "role                    contender                                              \\\n",
       "flip_bit                        0                                               \n",
       "marker                          0                                               \n",
       "phase                     marking                                               \n",
       "counter                        0          2          4          6          8    \n",
       "time (n interactions)                                                           \n",
       "0.000000               1000000000          0          0          0          0   \n",
       "1.000000                135336837  270661696   90227329   12028156     859080   \n",
       "2.000000                 18312018  146524448  195383216  104189030   29773512   \n",
       "3.000000                  2478690   44626126  133867363  160631023  103263148   \n",
       "4.000000                   335736   10736616   57260444  122138990  139568370   \n",
       "...                           ...        ...        ...        ...        ...   \n",
       "64.000000                       0          0          0          0          0   \n",
       "65.000000                       0          0          0          0          0   \n",
       "66.000000                       0          0          0          0          0   \n",
       "67.000000                       0          0          0          0          0   \n",
       "67.252549                       0          0          0          0          0   \n",
       "\n",
       "role                                                                    ...  \\\n",
       "flip_bit                                                                ...   \n",
       "marker                                                                  ...   \n",
       "phase                                              tournament           ...   \n",
       "counter                      10        12       14         12       13  ...   \n",
       "time (n interactions)                                                   ...   \n",
       "0.000000                      0         0        0          0        0  ...   \n",
       "1.000000                  38162      1148        6         10        8  ...   \n",
       "2.000000                5298122    641440    13908      30153    14976  ...   \n",
       "3.000000               41305948  11269344   556907    1287669   649759  ...   \n",
       "4.000000               99261227  48123925  4232398   10487317  5527630  ...   \n",
       "...                         ...       ...      ...        ...      ...  ...   \n",
       "64.000000                     0         0        0          0        0  ...   \n",
       "65.000000                     0         0        0          0        0  ...   \n",
       "66.000000                     0         0        0          0        0  ...   \n",
       "67.000000                     0         0        0          0        0  ...   \n",
       "67.252549                     0         0        0          0        0  ...   \n",
       "\n",
       "role                      minion                             \n",
       "flip_bit                       1                             \n",
       "marker                         1                             \n",
       "phase                 tournament                             \n",
       "counter                       50 51 52 53 54 55 56 57 58 59  \n",
       "time (n interactions)                                        \n",
       "0.000000                       0  0  0  0  0  0  0  0  0  0  \n",
       "1.000000                       0  0  0  0  0  0  0  0  0  0  \n",
       "2.000000                       0  0  0  0  0  0  0  0  0  0  \n",
       "3.000000                       0  0  0  0  0  0  0  0  0  0  \n",
       "4.000000                       0  0  0  0  0  0  0  0  0  0  \n",
       "...                          ... .. .. .. .. .. .. .. .. ..  \n",
       "64.000000                      0  0  0  0  0  0  0  0  0  0  \n",
       "65.000000                      0  0  0  0  0  0  0  0  0  0  \n",
       "66.000000                      0  0  0  0  0  0  0  0  0  0  \n",
       "67.000000                      0  0  0  0  0  0  0  0  0  0  \n",
       "67.252549                      0  0  0  0  0  0  0  0  0  0  \n",
       "\n",
       "[69 rows x 384 columns]"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.history"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "continental-uncle",
   "metadata": {},
   "source": [
    "Because we defined a state as a dataclass `Agent`, which had fields, the columns of the `history` dataframe are a pandas [MultiIndex](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.MultiIndex.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 166,
   "id": "logical-contributor",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "MultiIndex([('contender', 0, 0,    'marking',  0),\n",
       "            ('contender', 0, 0,    'marking',  2),\n",
       "            ('contender', 0, 0,    'marking',  4),\n",
       "            ('contender', 0, 0,    'marking',  6),\n",
       "            ('contender', 0, 0,    'marking',  8),\n",
       "            ('contender', 0, 0,    'marking', 10),\n",
       "            ('contender', 0, 0,    'marking', 12),\n",
       "            ('contender', 0, 0,    'marking', 14),\n",
       "            ('contender', 0, 0, 'tournament', 12),\n",
       "            ('contender', 0, 0, 'tournament', 13),\n",
       "            ...\n",
       "            (   'minion', 1, 1, 'tournament', 50),\n",
       "            (   'minion', 1, 1, 'tournament', 51),\n",
       "            (   'minion', 1, 1, 'tournament', 52),\n",
       "            (   'minion', 1, 1, 'tournament', 53),\n",
       "            (   'minion', 1, 1, 'tournament', 54),\n",
       "            (   'minion', 1, 1, 'tournament', 55),\n",
       "            (   'minion', 1, 1, 'tournament', 56),\n",
       "            (   'minion', 1, 1, 'tournament', 57),\n",
       "            (   'minion', 1, 1, 'tournament', 58),\n",
       "            (   'minion', 1, 1, 'tournament', 59)],\n",
       "           names=['role', 'flip_bit', 'marker', 'phase', 'counter'], length=384)"
      ]
     },
     "execution_count": 166,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.history.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "prostate-function",
   "metadata": {},
   "source": [
    "We can use the pandas [groupby](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.groupby.html) function to conveniently look at the values of just one field. For a field whose name is the string `field`, then calling `sim.history.groupby(field, axis=1).sum()` gives the counts of values of just a single state. If we have a set of fields `field1, field2, ...` then calling `sim.history.groupby([field1, field2, ...], axis=1).sum()` will give the counts of values of just those fields."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "id": "shared-martial",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <td>999999998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66.000000</th>\n",
       "      <td>2</td>\n",
       "      <td>999999998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67.000000</th>\n",
       "      <td>2</td>\n",
       "      <td>999999998</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67.252549</th>\n",
       "      <td>1</td>\n",
       "      <td>999999999</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>69 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "role                    contender     minion\n",
       "time (n interactions)                       \n",
       "0.000000               1000000000          0\n",
       "1.000000               1000000000          0\n",
       "2.000000                999999972         28\n",
       "3.000000                999969579      30421\n",
       "4.000000                998042414    1957586\n",
       "...                           ...        ...\n",
       "64.000000                       2  999999998\n",
       "65.000000                       2  999999998\n",
       "66.000000                       2  999999998\n",
       "67.000000                       2  999999998\n",
       "67.252549                       1  999999999\n",
       "\n",
       "[69 rows x 2 columns]"
      ]
     },
     "execution_count": 167,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sim.history.groupby('role', axis=1).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eight-israel",
   "metadata": {},
   "source": [
    "This lets us quickly plot the counts of leaders, to see how it decreases down to one leader, and the count in each phase, to see when the agents transition from the marking phase to the tournament phase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 168,
   "id": "varying-mining",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim.history.groupby('role', axis=1).sum().plot()\n",
    "plt.yscale('symlog')\n",
    "plt.ylim(0, 2*n)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 169,
   "id": "loose-clothing",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim.history.groupby('phase', axis=1).sum().plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "charged-douglas",
   "metadata": {},
   "source": [
    "For this protocol, a good understanding of why it is working comes from looking at the product of `role` and `counter` values. The way the protocol works is that contenders increase their counter values, which spread by epidemic among all minions, to eliminate other contenders with smaller counter values.\n",
    "\n",
    "We will again try to visualize a single row of the dataframe that projects onto just the `role` and `counter` values. Calling `df.iloc[index]` gives us a [Series](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.Series.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 170,
   "id": "purple-murray",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "counter  role     \n",
       "0        contender        2\n",
       "1        contender       48\n",
       "2        contender      441\n",
       "3        contender     2876\n",
       "4        contender    13600\n",
       "                      ...  \n",
       "57       minion           0\n",
       "58       contender        0\n",
       "         minion           0\n",
       "59       contender        0\n",
       "         minion           0\n",
       "Name: 10.0, Length: 108, dtype: int64"
      ]
     },
     "execution_count": 170,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = sim.history.groupby(['counter','role'], axis=1).sum()\n",
    "df.iloc[10]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "palestinian-niger",
   "metadata": {},
   "source": [
    "Then calling `unstack()` on the series will give pull off the first field, and give us a dataframe that can immediately plotted as a multibar plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "id": "illegal-playback",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>role</th>\n",
       "      <th>contender</th>\n",
       "      <th>minion</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>counter</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>48.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>441.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2876.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>13600.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>55257.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>183276.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>523542.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1305762.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2908411.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>5815321.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>10577404.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>19519273.0</td>\n",
       "      <td>144731.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>15633037.0</td>\n",
       "      <td>2774308.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>12659059.0</td>\n",
       "      <td>11179251.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>9794528.0</td>\n",
       "      <td>30343520.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>31088600.0</td>\n",
       "      <td>522306882.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>7599591.0</td>\n",
       "      <td>292467764.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>951336.0</td>\n",
       "      <td>21176355.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>82136.0</td>\n",
       "      <td>856059.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>5498.0</td>\n",
       "      <td>30677.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>277.0</td>\n",
       "      <td>1087.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>10.0</td>\n",
       "      <td>68.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>0.0</td>\n",
       "      <td>11.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>1.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>51</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>52</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>53</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>54</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>55</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>57</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>58</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>59</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "role      contender       minion\n",
       "counter                         \n",
       "0               2.0          NaN\n",
       "1              48.0          NaN\n",
       "2             441.0          NaN\n",
       "3            2876.0          NaN\n",
       "4           13600.0          NaN\n",
       "5           55257.0          NaN\n",
       "6          183276.0          NaN\n",
       "7          523542.0          NaN\n",
       "8         1305762.0          NaN\n",
       "9         2908411.0          NaN\n",
       "10        5815321.0          NaN\n",
       "11       10577404.0          NaN\n",
       "12       19519273.0     144731.0\n",
       "13       15633037.0    2774308.0\n",
       "14       12659059.0   11179251.0\n",
       "15        9794528.0   30343520.0\n",
       "16       31088600.0  522306882.0\n",
       "17        7599591.0  292467764.0\n",
       "18         951336.0   21176355.0\n",
       "19          82136.0     856059.0\n",
       "20           5498.0      30677.0\n",
       "21            277.0       1087.0\n",
       "22             10.0         68.0\n",
       "23              0.0         11.0\n",
       "24              1.0          1.0\n",
       "25              0.0          0.0\n",
       "26              0.0          0.0\n",
       "27              0.0          0.0\n",
       "28              0.0          0.0\n",
       "29              0.0          0.0\n",
       "30              0.0          0.0\n",
       "31              0.0          0.0\n",
       "32              0.0          0.0\n",
       "33              0.0          0.0\n",
       "34              0.0          0.0\n",
       "35              0.0          0.0\n",
       "36              0.0          0.0\n",
       "37              0.0          0.0\n",
       "38              0.0          0.0\n",
       "39              0.0          0.0\n",
       "40              0.0          0.0\n",
       "41              0.0          0.0\n",
       "42              0.0          0.0\n",
       "43              0.0          0.0\n",
       "44              0.0          0.0\n",
       "45              0.0          0.0\n",
       "46              0.0          0.0\n",
       "47              0.0          0.0\n",
       "48              0.0          0.0\n",
       "49              0.0          0.0\n",
       "50              0.0          0.0\n",
       "51              0.0          0.0\n",
       "52              0.0          0.0\n",
       "53              0.0          0.0\n",
       "54              0.0          0.0\n",
       "55              0.0          0.0\n",
       "56              0.0          0.0\n",
       "57              0.0          0.0\n",
       "58              0.0          0.0\n",
       "59              0.0          0.0"
      ]
     },
     "execution_count": 171,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.iloc[10].unstack()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 172,
   "id": "multiple-copying",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rpJSeBm4D5rckG0mSJKkJGhldYWxEvKqc/wPgTcC6FuclSZIk9VsjoyvsC3w9IoZTFMXfTCnd1Nq0pEycP6pm/pnBy0OSpJeZRkZXWA3MGIBcJEmSpKbwF88kSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUHYtcSZIkZcciV5IkSdmxyJUkSVJ2LHIlSZKUnR0WuRHxmoi4LSJ+FhEPRsSHByIxSZIkqb9GNBDzIvCRlNKKiNgTuD8ifpBS+lmLc5MkSZL6ZYc9uSmlx1JKK8r5Z4G1wB+1OjFJkiSpv/p0TW5EjAdmAPfUWXdmRCyPiOVdXV1NSk+SJEnqu4aL3IjYA7gBODul9Nvq+pTS4pRSR0qpY+zYsc3MUZIkSeqThorciNiFosC9KqX0rdamJEmSJO2cRkZXCOBSYG1K6e9bn5IkSZK0cxrpyZ0NnAbMjYhV5fSWFuclSZIk9dsOhxBLKS0DYgBykSRJkprCXzyTJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZsciVJElSdixyJUmSlB2LXEmSJGXHIleSJEnZ2WGRGxGXRcQTEfHTgUhIkiRJ2lmN9OQuAea3OA9JkiSpaXZY5KaU7gCeGoBcJEmSpKZo2jW5EXFmRCyPiOVdXV3NalaSJEnqs6YVuSmlxSmljpRSx9ixY5vVrCRJktRnjq4gSZKk7FjkSpIkKTuNDCF2DXAXcEhEbIyI97Y+LUmSJKn/RuwoIKV0ykAkIkmSJDWLlytIkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTsWORKkiQpOyMGOwGpLZw/qvz7TN3V48/73tb5zpEDkZAkSdoZ9uRKkiQpOxa5kiRJyo5FriRJkrJjkStJkqTs+MUzDbhtvsR1wQmDmEmb6f7yG/T4BThJktQYe3IlSZKUHXty1dbs9ZUkSf1hT64kSZKyY5GrrIw/73vb9P5KkqSXJy9XUFO03WUFDXyJy18xkyQpXxa5UpNZPEuSNPgaKnIjYj7wD8Bw4GsppQtampXaQtv1zkqSJDVoh9fkRsRw4EvAm4FJwCkRManViUmSJEn91UhP7izgoZTSLwEi4lrgz4CftTIxNa67x7WR3tYh3TvrjyVIkqQGRUqp94CIk4D5KaX3lbdPA45IKX2oEncmcGZ58xDg55WmxgBPNphXq2LbJY92iG2XPNohtl3yaIfYdsljqMW2Sx7tENsuebRDbLvk0Q6x7ZLHUIttlzzaIban+P1TSmPrRqeUep2Akyiuw+2+fRrwjzu6X512lg92bLvk0Q6x7ZJHO8S2Sx7tENsueQy12HbJox1i2yWPdohtlzzaIbZd8hhqse2SRzvE9ie+kXFyHwVeU3N7XLlMkiRJakuNFLn3AQdFxISIeAXwDuDG1qYlSZIk9d8Ov3iWUnoxIj4E/AvFEGKXpZQe7MdjLW6D2HbJox1i2yWPdohtlzzaIbZd8hhqse2SRzvEtkse7RDbLnm0Q2y75DHUYtslj3aI7XP8Dr94JkmSJA01jVyuIEmSJA0pFrmSJEnKjkWuJEmSstPIL571S0RMpPhltD8qFz0K3JhSWtuEdv8IuCel9Lua5fNTSjdXYmcBKaV0X/lTxPOBdSmlf27gca5IKb27wZzeQPHLcD9NKd1SWXcEsDal9NuI+APgPGAmxS/GfTql9ExN7CLg2ymlXzXwmN0jXfw6pfTDiHgncBSwFlicUnqhEn8A8DaK4eC2AOuBq1NKv23kOUqSJA0lLfniWUT8NXAKcC2wsVw8jqIouzaldEGD7ZyRUrq85vYi4H9QFHLTgQ+nlL5brluRUppZE/sJ4M0UhfwPgCOA24A3Af+SUvpUTWx1SLQA3gjcCpBSWlDJ696U0qxy/v1lTt8GjgP+qfb5RcSDwLRylIrFwH8A1wPzyuVvq4l9BngO+AVwDXBdSqmrh21zVfncdgOeBvYAvlW2Gyml0yvb7U+BO4C3ACvL+7wV+GBK6fZ6jyENloj4w5TSEy1od3RKaVOz25WkduCxs6IvvxzRh1+kWA/sUmf5K4ANfWjnkcrtNcAe5fx4YDlFoQuwsk7scIoi8LfAK8vlfwCsrsSuAL4BHAMcXf59rJw/uk5eK2vm7wPGlvO7A2sqsWtrH6eyblW1XYpLSI4DLgW6gJuB04E9K7Gry78jgMeB4eXtqPP81tSs3w24vZx/bXW75TQBf9iidkcP9nPrJbdRwAXAOuApYBPFSeEFwKv60M73K7dfCXwGuBJ4Z2Xdl+vcfx/gYuBLwGjg/PJ1+E1g30rsXpVpNNAJvBrYqxI7v/JcLwVWA1cDe1diLwDGlPMdwC+Bh4CHq+/r8hjwMeB1DWybDooT5m9QfDLyA+CZ8lgwo078HsDfAg+WcV3A3cDCOrEjgP9evu9Xl9P3gb+gzjG1lxwXV24PL9v9v8DsyrqPVW7vBpwLnAOMBBZSjI3+Wcrj7w4ee30Py6fWzO9Sbu8bgU8Du9WJ/1DN/juQ4iT9aeAeYEol9lvAqQ3mdwBwGfDJct98FfgpcB0wvhI7DHgP8D3ggfJ1ci1wTI77rln7b6jtuzJ+0I+d9OG4WcZne+ykD8fN3qZWXZP7ErBfneX7luu2iojVPUxrgL0r9x+WyksUUkqdFMXomyPi7ymKu1ovppS2pJT+A/hFKj+WTyn9vpoDxYa/H/go8EwqejZ/n1L6UUrpR3Wex7CIeHVEjKboNe0q234OeLES+9OIOKOcfyAiOsrnfTDwQiU2pZReSindklJ6L8U2/DLFZRa/rJPDK4A9KQ5so8rlu1IcgKpG1Kzfo3ywR+rFRsSoiLggItZFxFMRsSki1pbLXlWn7boi4vuV26+MiM9ExJXl5RW1675cub1PRFwcEV+KiNERcX5ErImIb0bEvnUea6/KNBq4t9xPe1Vi51ee66Xla+7qiNi7EntBRIwp5zsi4pfAPRHxcEQcXYldEREfi4jXNbBtOiLitoj4RkS8JiJ+EBHPRMR9ETGjErtHRPxtRDxYxnRFxN0RsbBO098EfkNxIN8rpTSa4lOJ35Tratud2cP0eopPSmpdTvEeuwF4R0TcEBG7luuOrJPHEopLcn5FcVD7PcWnCD8GvlKJfZLi/dc9Lae4JGlFOV/r0zXzn6c4Gf1vFAfJSyqxJ6SUun/j/HPA21NKB1J8mvP5SuyrgVcBt0XEvRHxlxFR7xgGxXvysxT/PO8ELkkpjaK4FOnLdeKvonj/Hg/8DfBFip9Hf2NEfLoSeyXFtj+fYnu9pbzPNIp/DFvVec3XvvbfUmn3EoqT9k3AF8tjZre3VWKXUBx7J5TPsYNi+wXFP+DaHJ6NiN+W07MR8Szwuu7lddrtdgFF8fN5io6H6msC4AM1++8fgC+klF4F/HWd+COAE4FHymPEW8vjYz1LKF4vv6P4p7mO4lO/mykKqFqXUnQGfIbidXxTuexjEXFWJXZI7bsyj1btv6G276A9jp1LaPy4CXkfO/ty3OxZXyriPpzJzKeo+r9PMXDvYooX4UPUnE2UsY9TvCj2r0zjKa43rY29FZheWTYCuALYUll+D+XZJUVxXHsGs6KHvMdRnBH+I5Ve5EpcZ7nx/638u2/NmceqSuwoihfuL8qcXijv8yOKyxVqY1f28pjVM+W/LNt5GFgE/CvFWe0a4BOV2A9TnLF9leKgcEa5fCxwR53H+heKg9E+Ncv2KZfdUomd2cP0euCxSuwNFAfHEyl6AG4Adi3XVXu5bwbOonjxry4f+zXlsu/Wyfmlcn/UTi9076NK7Iqa+a9R9ArsX27T71Ri19TM3wYcXs4fTOU3tMvHuhB4BLi3bG+/HvbnvRQH51MoDmgnlcvnAXdVYr9L0SMzDvgr4OPAQcDXKa7rro39eS+voZ9Xbm+heE/dVmf6fSW2+rr+KPATip6D7d5PbPtpR/UTmWpbHyn395SaZf/Ww3NY0Us71dtrgRHl/N097dc67c6hOOD+e7ktzuzDc9vuPQw8ULl9X/l3GMV3BGrX1e1Fq7eu3H/dx6Huqfv2f1ZiV9fMj6A4Jn+L4qR3ZSV2Vfk3ym0QNbernxJ9keL4u3fNsp72Xe12W0XZu1mv3errtXub1Xs+tW1T9JqdBvwzRc/P5cBx/d1/dR7n7vLvrtR8SjcU910r999Q23fVnHe0jhYdO3fw/FbVySvbYyd9OG72NjUU1J+pTORI4M/L6UjKj8wrcZcCb+ihjasrt8dRU3hV1lU/xtm1h7gxVD4uqRNzApXiocHnvBswoYd1r6Q4o389lY8GamIO7uPj7UdZRFGcSZ0EzOoh9rBy/cQG2vXN/l+3h9SbHbiF4uPK2n9ae1OcJPywEvtT4KAettGv6myHYZVlCyk+Snq4zv0fqJn/ZG/brVzWfYL59xSfTvyyh7w2UhT6H6EoCqJmXfWf2lnl9phL0bv2DxQ9Yn8DXNnTvqtZNpzihP3yyvK7KC4pOpniJPPEcvnRVE58yuV3Uh7jgAUU3wno6f10d9lu7Yn5MODtFF+2rY3dALy2wf233T8F4BMU778NleWrauYv6+21WC57PcUxYFGZa0/77pcUPY9/zvYFYr12P0XRQXAA8L+BsylORs8Abmpg/42muFTg1sry+ylOUmdR9IR1lMsPrPMaup/yY1iKk/c7atb9bKjvu37sv7c2sv8GYN8d3sx9Vy4b9GMnvR83tztJKZdneeykD8fN3qaGgpxeXtMQeLNvVySVy1/2b3aKj47+jqLH/jcU15atLZdVr9E6CTikh210YuX2Z4Fj68TNp8519hTXUm13jR3FP6Pre3ntLaAoFv69h/WfqEzd18PvA1xRJ/4YYCnF9e5rKHqJzqRyjSTFF2IbfX9Mo/i04/vAxPI18XT5Oj6qh/h7y/2xrHubU3ySsqgSO77M9wmK7zasL+eXUjmBpvjC67QecjyrcvsbVD5FK5e/D3ihsuxrPey71wHLeni8YRRF0o+pfAJXE3N5Zdq7Zt/9aw/3WUjxCdiTwLOUo9IAoypx230i1cv+mwf8vHxfvIHiE6UN5Xb+s0rsXIpPZjZQ9LIeUbPvPtvDvusq91t3m2297/qw/5b0Zf9RFLQDue+qx6zuffdQue+O7GnflcsH/dhJP4+bZcxQOHZOZ/tj528ojp3VjsrqcfPgmv23qOHHbDTQ6eUzVd7sT1Xe7K+uxL6c3+wjKnEtKZSAqX15s5ftHVvdftT/RzmR4h/HzsS+uYfn2K+2Ka7xm9zinHc29tBGY2viG90nR1D0Mo4GZgP/E3hLD+3O4r8uoZlEcfLWqtgTqDkh7CF2DvB/emn3iEZzqNP2YRQnps14fkdU2u1tG/9xX3Iu40aX0zd6i6vcZ7tjTzNj6+27OrH7AptalMeVLWr3JiqdJzXrgvILVP1od075ejuugdg3lK+LQYutyfljLcijVduiJe1uc7++BDs5UV7P2+6xbFsoDYmcmxFL0Rvzc+A7FNeO/1nNuuolIX2JPavR2L7GtyqPFre7rg/bouF4ipOuuym+NPIZimvtP07x7fSP7iD21jaI7Uu+PcYO8LZoSs4U3zOoTr/rnt9B7D8NdGwTcm5VbF+eX1NyKOPvrZl/H0WnxicoLgs5r5fY91NcozygsT3EN5rz+/qQRyu3RVPy7W1qKMjJqXuily/ktWNsu+QxULH0fZi9pse2Sx7tENvPthsd+jDb2HbJo4+xDQ9FSfHPfVBjW5zzUNwWK2vmdzQ06KDHtkse7RDb29SyXzzT0BURq3taRWVYt3aIbZc82iGWyjB7EXEMcH1E7M/2w+y1KrZd8miH2L7Gv5hS2gL8R0RsM/RhRFSHPsw5tl3y6EtsB8VINh8FzkkprYqI36f6w1C+vg1iW5nzUNwWwyLi1RTXJ28zNGhEVIcGbYfYdsmjHWJ7ZJGrevamGJvuN5XlQfElqHaLbZc82iH28YiYnlJaBZBS+l1E/CnFGJJTBii2XfJoh9i+xv9nROyWivG9X9+9MCJGsf343jnHtkseDcemlF4CvhAR15V/H6eH/7HtENsuebRDbGkUxYgMAaSI2Del9FhE7MH2J6PtENsuebRDbM9Sg12+Ti+fib4N6zbose2SR5vE9mWYvZbEtkse7RDbj7YbHvow59h2yaOvOVdiGh6Ksh1i2yWPdoit3K/HoUHbMbZd8miH2JTS1oGiJUmSpGwMG+wEJEmSpGazyJUkSVJ2LHIlqY1FxNkRsdtg5yFJQ43X5EpSG4uITqAjpfRkH+4zPBVDX0nSy5Y9uZK0kyLi3RGxOiIeiIgrI2J8RNxaLvvXiHhtGbckIk6qud/vyr/HRMTtEXF9RKyLiKuisAjYD7gtIm4rY4+LiLsiYkVEXFcOqUNEdEbE30XECuDkAd8IktRmLHIlaSdExGEUvxc/N6U0jWIA+ouAr6eUpgJXAV9soKkZwNnAJOAAiuHFvgj8GnhjSumNETGmfKxjU0ozKX497a9q2tiUUpqZUrq2Oc9OkoYui1xJ2jlzgeu6LydIKT0F/DFwdbn+SuANDbRzb0ppYyoGsV9F8RPAVUdSFME/iYhVwOnA/jXrl/Yjf0nKkr94JkkD50XKzoWIGAa8ombd8zXzW6h/fA7gBymlU3po/7lmJClJObAnV5J2zq3AyRExGiAi9qL4ueV3lOvfBfy4nO/kv34edgGwSwPtPwvsWc7fDcyOiAPLx9o9Ig7e2ScgSTmyJ1eSdkJK6cGI+BTwo4jYAqwEzgIuj4hzgC7gjDL8q8B3I+IB4GYa63ldDNwcEb8ur8tdCFwTEbuW6z8GrG/eM5KkPDiEmCRJkrLj5QqSJEnKjkWuJEmSsmORK0mSpOxY5EqSJCk7FrmSJEnKjkWuJEmSsmORK0mSpOz8f/Xi9yDmVO0KAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.iloc[10].unstack().plot(kind='bar', figsize=(12,5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "saving-tuition",
   "metadata": {},
   "source": [
    "Now we can define a function that creates one of these plots at an arbitrary row, to get a similar slider that lets us quickly visualize the evolution of the distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "median-microwave",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_row(row, yscale):\n",
    "    fig, ax = plt.subplots(figsize=(12,5))\n",
    "    df.iloc[row].unstack().plot(ax=ax, kind='bar', \n",
    "                              ylim=(0,n))\n",
    "    ax.set_yscale(yscale)\n",
    "bar = widgets.interact(plot_row, \n",
    "                       row = widgets.IntSlider(min=0, max=len(sim.history)-1, step=1, value=0, layout = widgets.Layout(width='100%')),\n",
    "                      yscale = ['linear','symlog'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "primary-interface",
   "metadata": {},
   "source": [
    "## Simulating Chemical Reaction Networks (CRNs)\n",
    "\n",
    "`ppsim` is able to simulate any Chemical Reaction Network that has only bimolecular (2-input, 2-output) and unimolecular (1-input, 1-output) reactions. There is a special syntax used to specify CRNs, such as\n",
    "\n",
    "$$\n",
    "A + B \\mathop{\\rightleftharpoons}\\limits\n",
    "^{0.5}_4 2C, \n",
    "\\quad\\quad\n",
    "C \\mathop{\\rightarrow}\\limits^5 D\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "charming-thumbnail",
   "metadata": {},
   "outputs": [],
   "source": [
    "from ppsim import species\n",
    "\n",
    "a,b,c,d = species('A B C D')\n",
    "crn = [(a+b | 2*c).k(0.5).r(4), (c >> d).k(5)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "sharp-footage",
   "metadata": {},
   "source": [
    "First we define `species` objects `a,b,c,d`. We then create `crn`, a list of `reaction` objects, which are created by composing these species. Using the `>>` operator creates an irreversible (one-way) reaction, while using the `|` operator creates a reversible (two-way) reaction. A rate constant can be added with the method `reaction.k(...)`, and the reverse rate constant is added with the method `reaction.r(...)`. If not specified, rate constants are assumed to be 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "identical-density",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " Time: 37.000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = Simulation({a: 2000, b:1000}, crn)\n",
    "sim.run()\n",
    "p = sim.history.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "informational-learning",
   "metadata": {},
   "source": [
    "CRNs are normally modelled by Gillespie kinetics, which gives a continuous time Markov process. The unimolecular reaction $C \\mathop{\\rightarrow}\\limits^5 D$ happens as a Poisson process with rate 5. The forward bimolecular reaction $A+B \\mathop{\\rightarrow}\\limits^{0.5} 2C$ happens as a Poisson process with rate $0.5 \\cdot \\frac{\\# A \\cdot \\#B}{v}$, and the reverse bimolecular reaction happens as a Poisson process with rate $4 \\cdot \\frac{\\#B (\\#B - 1)}{2v}$, where $v$ is the volume parameter.\n",
    "\n",
    "When creating a `Simulation` with a list of `reaction` objects, `ppsim` will by default use this continuous time model.\n",
    "By default, `ppsim` sets the volume $v$ to be the population size $n$, which makes the time units independent of population size. In some models, this volume parameter is instead baked directly into the numerical rate constant. In this case, the volume should be set manually in the Simulation constructor, with `Simulation(..., volume = 1)`. In addition, if these numerical rate constants are specified in specific time units (such as per second), this can be specified with `Simulation(..., time_units='seconds')`, and then all times will appear with appropriate units.\n",
    "\n",
    "For more details about the CRN model and how it is faithfully represented as a continuous time population protocol, see [this paper](https://arxiv.org/abs/2105.04702)."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "pursuant-testing",
   "metadata": {},
   "source": [
    "## More examples\n",
    "See https://github.com/UC-Davis-molecular-computing/population-protocols-python-package/tree/main/examples/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "molecular-iceland",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}