recommenders/multi_armed_bandits_benchmarks/multi_armed_bandits.ipynb

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   "source": [
    "# Exploring multi-armed bandit baseline strategies\n",
    "Our problem:\n",
    "For the next 100 days, we will have 1 hour to play a video games.\n",
    "We have 20 games, but have no idea which one we will enjoy the most.\n",
    "How do we decide what to play each day?\n",
    "We assume that the enjoyment we get from a single hour is random and comes from a beta distribution.\n",
    "Each game has a different distribution.\n",
    "Each hour we play of a game gives us an enjoyment value and helps build our knowledge of that game.\n",
    "\n",
    "We need to compromise exploring which games are enjoyable and sticking to the games we know so far to be good.\n",
    "This can be represented by a multi-armed bandit problem.\n",
    "\n",
    "Here I will explore some simple benchmark solutions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import scipy.stats\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "plt.style.use(\"seaborn-whitegrid\")\n",
    "\n",
    "np.random.seed(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We setup a class to represent a Game.\n",
    "This is essentially just a wrapper around a beta distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Game:\n",
    "    def __init__(self, a, b) -> None:\n",
    "        self.a = a\n",
    "        self.b = b\n",
    "        self.dist = scipy.stats.beta(a, b)\n",
    "\n",
    "    def __repr__(self) -> str:\n",
    "        return f\"Game({self.a}, {self.b})\"\n",
    "\n",
    "    def __call__(self, days: int = 1) -> np.ndarray:\n",
    "        return self.sample(days)\n",
    "\n",
    "    def sample(self, days: int = 1) -> np.ndarray:\n",
    "        return self.dist.rvs(days)\n",
    "\n",
    "    def plot_pdf(self, ax=None) -> plt.figure:\n",
    "        x = np.linspace(0, 1, 100)\n",
    "        y = self.dist.pdf(x)\n",
    "\n",
    "        if ax is None:\n",
    "            fig, ax = plt.subplots(figsize=(10, 6))\n",
    "        else:\n",
    "            fig = None\n",
    "        ax.plot(x, y)\n",
    "        return fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the distributions of our random 20 games.\n",
    "There is a lot of overlap and wide distributions.\n",
    "As such it may not be clear after a single hour if a game is good or not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "games = []\n",
    "for idx in range(20):\n",
    "    games.append(Game(np.random.rand() * 2 + 2, np.random.rand() * 2 + 2))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "for game in games:\n",
    "    fig = game.plot_pdf(ax=ax)\n",
    "ax.set_xlabel(\"Enjoyment\")\n",
    "ax.set_ylabel(\"PDF\")\n",
    "fig"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Perfect strategy\n",
    "With perfect knowledge of the games, this strategy simply selects every time the game with the best expected enjoyment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def perfect_strategy(games, days):\n",
    "    # choose best each time\n",
    "    best_game = np.argmax([game.dist.mean() for game in games])\n",
    "    return games[best_game].sample(days)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Worst strategy\n",
    "With perfect knowledge of the games, this strategy simply selects every time the game with the lowest expected enjoyment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def worst_strategy(games, days):\n",
    "    # choose best each time\n",
    "    best_game = np.argmin([game.dist.mean() for game in games])\n",
    "    return games[best_game].sample(days)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploration only\n",
    "We select a random game every time, regardless of what has happened before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def exploration_strategy(games, days):\n",
    "    rand_choice = np.random.choice(len(games), days)\n",
    "\n",
    "    strat_explore = []\n",
    "    for idx in rand_choice:\n",
    "        strat_explore.append(games[idx].sample(1))\n",
    "    return np.array(strat_explore).flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Epsilon strategy\n",
    "Each day we decide to either explore or to choice the best game we have seen so far.\n",
    "We decide which, randomly each time based on some threshold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def epsilon_strategy(games, days, threshold=0.1):\n",
    "    previous_samples = {}\n",
    "    for idx, _ in enumerate(games):\n",
    "        previous_samples[idx] = []\n",
    "\n",
    "    choices = []\n",
    "    strat_epsilon = []\n",
    "    for idx in range(days):\n",
    "        if np.random.rand() < threshold:\n",
    "            # explore\n",
    "            choice = np.random.choice(len(games), 1)[0]\n",
    "        else:\n",
    "            # exploit\n",
    "            current_mean = [\n",
    "                np.mean(previous_samples[game]) for game in previous_samples\n",
    "            ]\n",
    "            choice = np.argmax(current_mean)\n",
    "\n",
    "        choices.append(choice)\n",
    "        sample = games[choice].sample(1)[0]\n",
    "        strat_epsilon.append(sample)\n",
    "\n",
    "        # update info\n",
    "        previous_samples[choice].append(sample)\n",
    "    # return enjoyement scores and game choices\n",
    "    return np.array(strat_epsilon).flatten(), np.array(choices).flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Upper confidence bound strategy\n",
    "On a given day, we have uncertainty on the observed mean reward we get from each game.\n",
    "Upper confidence bound (UCB) strategies look to factor this uncertainty in by assuming confidence bounds on the observed mean.\n",
    "UCB relies on the optimistic notion that the true mean is the observed mean + the uncertainty bound.\n",
    "\n",
    "Hence with games with less certainty their upper bound can be higher than those we have sampled more.\n",
    "This promotes more exploration of those uncertain games.\n",
    "We are more likely to select a game with either a high score, or one with high uncertainty.\n",
    "\n",
    "As we are dividing by the length of samples taken from each game and taking the log of the iteration number,\n",
    "this allows the amount of exploration to reduce with time and shifts towards exploitation.\n",
    "\n",
    "The standard UCB strategies don't assume a particular prior distribution.\n",
    "There are various extensions to incorporate a prior to formulat a Bayesian UCB strategy.\n",
    "\n",
    "I've added a constant `explore_threshold` to control the amount of exploration compared to the existing observed average rewards.\n",
    "This is typically 2, but depending on the scale of the rewards may need adjusting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ucb_strategy(games, days, explore_threshold: float = 2):\n",
    "    previous_samples = {}\n",
    "    for idx, _ in enumerate(games):\n",
    "        previous_samples[idx] = []\n",
    "\n",
    "    choices = []\n",
    "    strat_ucb = []\n",
    "    for idx in range(days):\n",
    "        current_values = [\n",
    "            np.mean(previous_samples[game])\n",
    "            + np.sqrt(explore_threshold * np.log(idx) / len(previous_samples[game]))\n",
    "            for game in previous_samples\n",
    "        ]\n",
    "        choice = np.argmax(current_values)\n",
    "\n",
    "        choices.append(choice)\n",
    "        sample = games[choice].sample(1)[0]\n",
    "        strat_ucb.append(sample)\n",
    "\n",
    "        # update info\n",
    "        previous_samples[choice].append(sample)\n",
    "    # return enjoyement scores and game choices\n",
    "    return np.array(strat_ucb).flatten(), np.array(choices).flatten()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Running each strategy\n",
    "We test each strategy over 100 days."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/numpy/core/fromnumeric.py:3420: RuntimeWarning: Mean of empty slice.\n  out=out, **kwargs)\n/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/numpy/core/_methods.py:188: RuntimeWarning: invalid value encountered in double_scalars\n  ret = ret.dtype.type(ret / rcount)\n/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: divide by zero encountered in log\n  \n/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in sqrt\n  \n/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in double_scalars\n  \n/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: divide by zero encountered in double_scalars\n  \n"
     ]
    }
   ],
   "source": [
    "days = 100\n",
    "strategy = {}\n",
    "strategy[\"perfect\"] = perfect_strategy(games, days)\n",
    "strategy[\"worst\"] = worst_strategy(games, days)\n",
    "strategy[\"explore\"] = exploration_strategy(games, days)\n",
    "\n",
    "for epsilon_thres in [0.1]:\n",
    "    epsilon_scores, epsilon_choices = epsilon_strategy(games, days, epsilon_thres)\n",
    "    strategy[f\"epsilon_{epsilon_thres}\"] = epsilon_scores\n",
    "\n",
    "for explore_threshold in [2]:\n",
    "    ucb_scores, ucb_choices = ucb_strategy(\n",
    "        games, days, explore_threshold=explore_threshold\n",
    "    )\n",
    "    strategy[f\"ucb_{explore_threshold}\"] = ucb_scores"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Results\n",
    "The perfect strategy sets the upper limit on performance,\n",
    "whereas the worst case sets the lower limit.\n",
    "The exploration strategy sets a random benchmark.\n",
    "Epsilon - 0.5 starts by playing each game for one hour.\n",
    "Then generally continues to play the best"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "df_strat = pd.DataFrame(strategy)\n",
    "\n",
    "# plot results\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "df_strat.cumsum().plot(ax=ax)\n",
    "ax.set_ylabel(\"Cumulative reward\")\n",
    "ax.set_xlabel(\"Days\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulations\n",
    "\n",
    "As we are sampling from each game's distribution, the results will be random.\n",
    "Repeating the experiement will give different results.\n",
    "Indeed, in some cases, we can beat the perfect strategy.\n",
    "To get a better understanding of the strategy performance we need to simulate the experiment\n",
    "multiple times in a monte carlo fashion, and use the distribution of the rewards from each.\n",
    "\n",
    "As such we repeat the experiment 500 times and record the final reward for each strategy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "  0%|          | 0/500 [00:00<?, ?it/s]/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/numpy/core/fromnumeric.py:3420: RuntimeWarning: Mean of empty slice.\n",
      "  out=out, **kwargs)\n",
      "/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/numpy/core/_methods.py:188: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  ret = ret.dtype.type(ret / rcount)\n",
      "/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: divide by zero encountered in log\n",
      "  \n",
      "/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in sqrt\n",
      "  \n",
      "/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  \n",
      "/Users/Rich/Developer/miniconda3/envs/data_analysis_env/lib/python3.7/site-packages/ipykernel_launcher.py:14: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  \n",
      "100%|██████████| 500/500 [01:03<00:00,  7.86it/s]\n"
     ]
    }
   ],
   "source": [
    "import tqdm\n",
    "\n",
    "simulations = []\n",
    "for idx in tqdm.trange(500):\n",
    "    strategy = {}\n",
    "    strategy[\"perfect\"] = perfect_strategy(games, days)\n",
    "    strategy[\"worst\"] = worst_strategy(games, days)\n",
    "    strategy[\"explore\"] = exploration_strategy(games, days)\n",
    "\n",
    "    for epsilon_thres in [0.1]:\n",
    "        epsilon_results = epsilon_strategy(games, days, epsilon_thres)\n",
    "        strategy[f\"epsilon_{epsilon_thres}\"] = epsilon_results[0]\n",
    "        epsilon_results[1]\n",
    "\n",
    "    for explore_threshold in [2]:\n",
    "        ucb_scores, ucb_choices = ucb_strategy(\n",
    "            games, days, explore_threshold=explore_threshold\n",
    "        )\n",
    "        strategy[f\"ucb_{explore_threshold}\"] = ucb_scores\n",
    "\n",
    "    df_strat = pd.DataFrame(strategy)\n",
    "    simulations.append(df_strat.sum())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can measure regret as the % difference of the reward relative to the perfect strategy:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "perfect       0.000\nworst         0.393\nexplore       0.204\nepsilon_0.1   0.130\nucb_2         0.195\ndtype: float64\n"
     ]
    }
   ],
   "source": [
    "df_simulations = pd.DataFrame(simulations)\n",
    "with pd.option_context(\"display.float_format\", \"{:0.3f}\".format):\n",
    "    print(\n",
    "        (df_simulations[\"perfect\"].mean() - df_simulations.mean())\n",
    "        / df_simulations[\"perfect\"].mean()\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results show now that the perfect/worst strategies, as expected, set the extreme performance.\n",
    "Exploration only gives us a benchmark of acting at random.\n",
    "A proposed model should perform better than exploration only.\n",
    "\n",
    "The results will be task dependent.\n",
    "In this case, the epsilon strategy was fairly successful at increasing the reward.\n",
    "UCB was somewhat similar to random exploration only.\n",
    "This could be due to the limit number of days we tested over and the fairly large set of candidate games.\n",
    "Hence it will explore quite a lot due to the large uncertainty of each game.\n",
    "This causes it to exploit far less than the epsilon strategy.\n",
    "The eplison strategy has a parameter to tune the random exploration rate.\n",
    "In this case a lower value is more beneficial as we don't have too many days to trial,\n",
    "so exploiting allows for a higher reward."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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QBNWxu+3c+OGNnPPCOTy07SG8Aa/SIQlTVLfbS22HmznjTsAsAGIacgoSjVgFQVAVt9fND9/9IdU91cxMmcn9X95Pd3831y25TunQhCloR2MwcZozhv5fhypJM2PUadjR0M15C3MmM7So5PV6+fWvf01NTQ2BQICrrrqKe++9l/vuuw+tVstPf/pTnnzySS666KKB/SCtVit/+MMfBl3n4Ycf5tVXX0Wn07F48WKuv/56/vznP/Pll1/idru5/fbb+eSTT3jllVeQJIkVK1bwrW99S6GfengiARMEQVX+sf0f7O7Yzf+d8n+clHsSt396O4/seoSTck/i2KxjR3WNxv1dbHm7FkdHH1nFSSxeUUiCZez1O4IQaiEx3ilInVZDWZZlIJGLpJcqXuL5fc9P6jXPn34+5xSfM+LxZ555huTkZO644w46Ozu57LLL+N3vfsevfvUrZFnmrrvuwmw209fXx9lnn82SJUu46667WLt27cA19uzZw+uvv85TTz2FTqfjRz/6EevXrwegqKiIm266if379/Paa6/xxBNPIEkS3/nOd1i6dClFRUWT+vNOhEjABEFQje7+bp7Y/QSnFZzGSbknAXDdkutYV7uOv23726gSsN0bmlj3aDkJFgPJWSZ2ftTAvk0tnHPNAtLyE8P9IwgxZntDNzlJ8SSbxp/Az8628NLWRmRZHtVG3mq2d+9eNm/ezLZt2wDw+Xzk5eWRmJiIXq+nrKwMAJ1Ox5IlSwBYtGgRH3zwAenp6QBUVlYyf/589Ho9wMBIGcC0adMG7tPY2Mh3vvMdALq7u6mtrRUJmCAA4LTDZ3+H1t2QtQCO+39gNCsdlRDFnt33LC6vi+/N+97Ac0atkW/P/jZ3b7qbLfYtLEhfMOLrW2sdrP/PbrJLk1lx9VwM8To6Gl28/H9beOn+LXzzhsVYbPER+EmEWLFjAgX4ITMzE/nPZz6ae/rIskbu9++c4nOOOFoVDkVFRWRmZnL11VfT19fHAw88wIYNGzCZTAQCAd544w3OOOMMfD4fu3fvZubMmWzevJmSkhJ6enoGrvGvf/0Ln8+HVqtl48aNnHfeeezevRuNRjNwTklJCf/4xz+QJIl///vflJaWRvRnPRpRhC8oo3ELPHAifHQf2Mth/e3w92XQ3aB0ZEIUe63yNeanzWdGyoxBz19YeiHxunhe2P/CiK+VZZn3n9xDnEnP6d+djSE++PfPlGwT5/54IQFfgHf+tYuA2JdPGKXuXi817W7mjrH/1+FmZAYL8fc0OyYjrKi2evVqKisrueyyy1i9ejV6vZ4///nP/OY3v+GWW27hvvvuo6Eh+D3w0EMPcfHFF2O321m9evXANWbMmMGZZ57JxRdfzIUXXkhOTg6nnnrqoPvMnDmT448/nosvvpgLLriA6upqMjIyIvqzHo0YARMir6cJnlwNOiNc/RFkzILqj+GJVcHnr3wb9HFKRylEmcquSvZ07uGGY28YcixBn8Cp+afyVvVb3PiVGzFqjUPOqdraRktVDydfNpN48+DpoqSMBE66eAbv/GsXOz9sZO7XcsP2cwixY1djcERmVrZlQtcpzQiO/O9pdvC1GekTjiuaGQwG7rrrrkHP/fCHPxz49zfffHPg3++44w6MxoN/lk855ZSBKcrLL7+cyy+/fNB1fvSjHw3676uuuoqrrrpq0mKfbGIETIi8166D3i64ZG0w+QIoPBFWPgTN2+CTPysanhCd3qx5EwmJrxd8fdjjZxWdhcPr4MP6D4c9vuXtWixp8cw8PnPY46XHZpBTmsTnL1fR5xJtLYSj29sSHLEqy5xYApaUYCDDYmRPS+yPgAkHhSUBCwQC3HzzzaxatYo1a9ZQU1Mz6Pi6detYuXIlq1at4umnnx50rL29na9+9atUVFSEIzRBafvegd2vwFd/DhmzBx+bcSaUnQMf3hscJROEQ3zS8AlzbHNIS0gb9vixWcdiNVpZX7d+yLH2RidNFd3MWZaDRjv8x54kSZz4zen0ubxsW18/qbELsWl3swNrvJ4My9AR17EqzUgcSOiEYJ5w6OhXLApLAvbOO+/g8XhYu3Yt1157Lb/73e8Gjnm9Xu68804efvhhHnvsMdauXUtra+vAsZtvvpm4ODH9FJNkOVjrlVQAx/9w+HNOuwX8/fD53yMbmxDVHB4H29u2c1zWcSOeo9PoOCH7BD5q+IiAPLiOa9dHjWh0EjNPGH70KyQtL5HCeTa2ravD0+eblNiF2LWnuYcZmYmTsnJxZmYi+1qcYkuiKSQsCdjmzZtZtmwZAAsWLGDHjh0DxyoqKsjPz8dqtWIwGDjmmGPYtGkTAL///e9ZvXr1wFJTIcZUvAuNX8Cya0E3wpLtlCIoOxs2Pgz9zsjGJ0Stjc0b8ct+js8+/ojnfTX3q3T0dbCzbefAc3JApmKzncI5tiG1X8M55swC+t0+dm9onnDcQuySZZm9LU5mZExO65LSjET6fQFq2sWWRFNFWBIwp9OJ2XywnYBWq8Xn8w0cS0w8+AtrMplwOp0899xzpKSkDCRuQgz67O9gzoD5Fx/5vOP+B/q7YdeLkYlLiHqfNX1GvC6eBWkLjnje0pylSEh81PDRwHMt1T24uj0ULRx+6vJwmdOspBcksvPDBmRZjEYIw2vo6sXZ72NG5uQkYKHriGnIqSMsqyDNZjMu18EsPhAIoNPphj3mcrlITEzkscceQ5IkNmzYQHl5Ob/4xS944IEHSEsb/KFZXl4ejpAnTV9fX9THGCmHvhd6ZwPF+96mbfYVtO07Sn2fbKHInIdvwz+pjVsUgUgjQ/xuHDTW9+LT2k8pii9i/979Rz23MKGQD6o+4GvGrwGw78MeJA14jO2Ul3eO6n4p0zXsfsfBp+9uIykn/B3yxe/GQWp5Lz6rC36PxfV3UF7unvD1/L4AEvDRjioKtF0Dz6vl/YiEWHsvwpKALVq0iPXr17NixQq2bNkyqPlZcXExNTU1dHV1kZCQwKZNm7jyyis544wzBs5Zs2YNv/nNb4YkX8DAEtRoVV5eHvUxRsqg92LdsyBJpH39WtKso9jvrPXbGNf/lrIsMyTlhTfQCBG/GweN5b3o9fVSu7GWy+dcPqrXnOg4kf/u/S8lpSXotXq+XPspuTNTmLtg9lFfG1JS5Gf/hx/R12yk7NSZo37deInfjYPU8l6sb9kPtHDasXOwxusn5ZoFqXY6/MZBP79a3o9IePXVV6mqquKHP/whJ554Ih9//PGkXHfLli3cfvvtaLVali5dOqgtxqHefvtt3njjDe69995RX3vz5s0jHgvLFORpp52GwWBg9erV3Hnnndx44428/PLLrF27Fr1ezw033MCVV17J6tWrWblyZdQ1RxMmmSzD9mdg2kkwmuQLYM4Fwcc9r4UvLkEVdrbtxCf7mJ82f1TnH5NxDH3+Pna278TR0Udns5v8WSljuqfeqKVogY2KL+z4vaIxqzDUnmYH2da4SUu+IFgHNhWasY5XUVHRiMnRRPz617/m3nvv5cknn2Tr1q3s3LlzyDm//e1vuffeewkEJu/zICwjYBqNhltvvXXQc8XFxQP/vnz5cpYvXz7i6x977LFwhCUopeEL6KyGk64f/WtSiyFtZrBlxVe+H7bQhOi3tXUrAPPS5o3q/EUZwWnrzS2bMfQEF/TkjTEBAyg9NpO9n7VQs7OdogWjqx8Tpo49zY5Jq/8KKUk3s263Ha8/gH6Edilq5/V6+fWvf01NTQ2BQICf/OQn3HLLLQP7OVqtVv7whz/Q0tLCjTfeiE6nQ6vVctddd7F9+3YefPBB7rvvvoHr7dq1i9tuuw2tVovRaOS2224jEAhw7bXXkpmZSV1dHXPnzuWWW24ZNh6n04nH4yE/Px+ApUuXsmHDBmbPHjxivmjRIk499dRBm4JPlOiEL4Tf9mdAawyubhyLGSvg4z+BuwMSxv4FKsSG7W3byU/MJzkueVTnp8SlUGQtYnPLZnKrv4LJaiAlyzTm++bOTMaYoKNqS6tIwIRBvP4AFa3OSe9aX5JuxheQqWl3UZIe/o3hu154ge5nn5vUa1pXXkDSeeeNePyZZ54hOTmZO+64g87OTi677DL6+vo4++yzWbJkCXfddRdr167FYDAwe/ZsbrjhBjZt2kR3d/ew17vpppu4/fbbKSsr45133uF3v/sdP//5z6muruaf//wn8fHxnHrqqbS2tg5b1nT4okGTyURdXd2Q81asWMFnn3029jfkCGIzxRaiR8APO56F0q9D3Bj3Sys9A2Q/VL0fntgEVdjdsZuy1LHVwCzOWMyX9i+p39dBdmnyuPo0abUaCuamUrW9TewPKQxS1ebC65eZkWk++sljUJIevN5+e+y24Nm7dy8ffPABa9as4ZprrsHn86HT6ViyZAkQHGmqqqriwgsvJDk5mauuuor//Oc/aLXaYa9nt9sHauSWLFnCvn37AMjPz8dsNqPVaklLS6O/v3/Y1w+3MNBimdjOBqMlRsCE8Kr6AFx2mPvNsb825xgwWqBiPcw+f/JjE6Jed383Dc4GLiy9cEyvOybjGJ7e+zR1viqOLS4a9/2nzUtj72ctNO3vJmfG6EbghNi3+0Cd1oyMyf2iLk6LbAKWdN55RxytCoeioiIyMzO5+uqr6evr44EHHuDFF19k9+7dzJw5k82bN1NSUsK7777LMcccww9/+ENeeeUV/vGPf7Bw4cIh10tPTx947caNGyksLAQY9V+6zGYzer2e2tpa8vLy+Oijj8JSZzYckYAJ4VX+MuhNMH34/fuOSKuDwmVQ+d6khyWow56OPQCUpYxtBCxUB9aUWEFWyQXjvn/+7BQ0WomaHe0iARMG7GnuQauRKE4f+9T2kZiMOrKscVS0xm4z1tWrV3PTTTdx2WWX4XQ6ueSSS9BoNDz00EM0NjaSnZ3NT3/6U5qbm7n++uv585//jEaj4cYbbxyxOP62225DlmW0Wi133HHHmGO65ZZbuO666/D7/SxdupT584MLfq644gr+9re/YTCEpxWNSMCE8JFl2PM6lCwHffz4rlF8Mux5FToqg13yhSmlvCPY82dmythaQWSaMkklHXtSNSnZ458mMsTpyCq2UlvewQnjvooQa/Y0O5lmM2HUDT8tNhEl6eaYnoI0GAzcddddg57729/+xh133DFo78f8/PwhBe8ajYaLLroIYKAFxaxZs/jPf/4z5D6H7jN9+J7Th1uwYMGw5zz88MOD/vsrX/kKX/nKV454rbEQCZgQNnGde8DRCDN+Nf6LFC4NPtZsEAnYFLSnYw/p8emkxqeO+bUZrgIarVVoNBPbpy9vVgqfvlCJq7sfkzW2NwcWRmdPSw/zcpPCcu3iNDNPb6ojEJAn/LsrHLRt2zbuvvvuIc+feeaZXHLJJQpEJBIwIYzMjR+CpBnf9GOIbQbEJ0PtJ7Dw0skLTlCFfV37mJ4yfcyv6+/1YW3NYVfhRtp627DF28YdQ/6sVD59oZL68g5mHJc17usIscHZ76Ouo5eLjglPg+iSdDNuj5+mnj5yksY5c6Ay69atC/s95s2bF3UtrsQqSCFsEhs+hLyvgGn8X35oNJB/fHAETJhS/AE/lV2VlFhLxvzalqpu0p0FAOxo2zGhOGy5ZowmHQ17uyZ0HSE27DuwV+Nk9wALmQorIYUgkYAJ4dFVR1zXXphx5sSvlX88dFSAo2Xi1xJUo85RhyfgoSR57AlYU0U3ae5ctJKW7W3bJxSHpJHILkmiYV/XhK4jxIZQp3qRgAkTJRIwITz2vhF8LJ2EBCzvQNFjw8h7agmxp6IruGl7SdLYE7Dmim4ys1OYnjx9wiNgANnTk+hp7cXZOXwvIWHq2N3sIMGgJS85ISzXTzUZsMbrRQI2BYgETAiP/e/gMedCWunRzz2azLnBWrLGLyd+LUE19nUFGyoWWce2+EKWZVprHaQXWphjm8P2tu3IsjyhWLKnJwHQuL9zQtcR1G9vi4PpGYlhK5CXJImSdDMVIgGLeSIBEyafrx+qPsCZedzkXM+QAGllIgGbYiq6Ksgx55CgH9tIg6O9j363j7S8ROba5uLwOKjpqZlQLLZcM3qjlub9w2+HIkwde5odzMiY3A74hytJM1PRKhKwWCcSMGHy1XwCXjeurElKwACyF0DTlmBvMWFKqOquYpp12phf11YX/OKy5ZmZY5sDMOE6MI1WQ1p+Ii01jgldR1C3Vkc/7S4PMzLDu1VNSbqZdpeHTpcnrPeJZmvWrKGiomJU5zY2NvKd73yHNWvWcNlll1FZWRnm6CaHSMCEybf/HdAacKUtmrxrZi8EVyv0NEzeNYWoFZAD1DpqKbQUjvm1rfUOJAlSc8wUW4uJ18VPSh1YeqGFtnoHfp/YF3KqChXgzwxTAX7IQCG+GAUblT/96U9cdtllPPbYY3z/+9/nD3/4g9IhjYroAyZMvv3vQv7xyGOcOjqi7AN7gDV+CdbcybuuEJXsbju9vt5xJWBtdU6SMhLQG4Jdymenzp6cBKwgkYBPpr3BSXpBZDbrFaLLnjC3oAg5dCXkgjDeavenTZR/3DSp1yw7MYuZR+iX99xzz1FZWcl1111Hf38/Z555Jvfddx+33347siyTkZHBPffcA8D9999PZ2fnsN3zD/WLX/yCxMTgG+X3+wd11I9mYgRMmFzd9dBaDtNPm9zrZswGjU7UgU0RtT21AORb8sf82rY6B7a8g99ac21zKe8ox+v3TiimjMJg0mUX05BT1p7mHlJNBmzm8H7BZyfFY9RppsxKyF/96lfceeedPPPMMxx//PEDU49f//rXefTRRzn55JP5+9//PuLrU1JS0Ov1VFZW8vvf/54f/OAHkQp9QsQImDC59r8bfCw5Fdon8br6eEgXhfhTRXVPNcCYR8B6nR6cnf2kHZKAzbHNwRvwsqdzz0BN2HgkpsYRZ9Jjr+6Bk3LGfR1BvfY0O8I++gWg1UgUpR3YE7I4fPebedyRR6vCLbQ6ub29neLiYgAuvfTgjieLFy8GYNGiRbz//vtHvNann37KLbfcwl133UVRkTq2rRMjYMLk2v8OWHIgbWybJ49K9sJgAiYK8WNebU8tRq2RDFPGmF53aAF+yFzbXGDihfiSJJFemIi9pmdC1xHUKRCQ2dvijEgCBsFpyMq22BsBMxqNtLa2ArBz504A0tPTqa6uBuDBBx/k7bffBmD79uCf2U2bNjF9+shbkn366afcfvvt/OMf/2Du3LlhjH5yiQRMmDx+L1S+ByWngBSGHjlZC6C3EzqrJ//aQlSp6akhLzEPjTS2j6jWuuD04KEjYJmmTGzxNra3TiwBA0gvsNDR6MLb75/wtQR1qet00+v1MyMjMglYkc1EfWcv/TG26GPZsmU0NDRw8cUX8/rrr2Mymbjlllv45S9/yWWXXUZ5eTlf/epXAXjnnXdYs2YNH3/8Md/73vdGvOYdd9yB1+vlhhtuYM2aNdx8882R+nEmRExBCpOnfhP09wSnH8Mha37wsWUnpIy9PYGgHtU91ePqgN9W58ScbCTOrB94TpKkgYasE5VeaEGWg4ledknShK8nqMfuMG9BdLiiNBOyDI0OHwsicsfIsFgsPP7440Oef+KJJwb993AbZzc2Ng57zZdeemlygoswkYAJk2f/OyBpoehr4bl+aFrTXg5lZ4XnHoLifAEf9c56Tsk/ZcyvPbwAP2R+2nzeq3uP7v5urEbruGNLLwhe217dIxKwKWbvgQSsNEIjYMVpwWn0+u6p2wvsUB6Ph//93//FZDINen7atGnceuutCkU1MSIBEyZP5XuQcwzEjf8L7oiMZkgqAPvO8FxfiApNziZ8AR8FloIxvc7r8dPV4qb4mPQhx+bZ5gHBOrClOUvHHZvJasScbKS1VqyEnGp2tzjIS4nHZIzM1+Y0WzDRqO+e2OrdWGEwGLj99tspKytTOpRJI2rAhMnR2wWNX0DxyeG9T8bs4AiYELNCKyDHmoC1NziR5cH1XyGzbbPRSJpJqQNLyTbT0eSa8HUEdQluQRS5/m8mo44saxz1PSIBi1UiARMmR/VHIAfCN/0Ykl4GbfuC+00KManWEewBNtYEbLgVkCEmvYmSpBK2tm2dcHyp2SY6m9wE/LFVHC2MrN/np6rNFfYO+IcrSjOJEbAYJhIwYXJUvgd6E+QsDu990meB7A8mYUJMqu6uJlGfSEpcyphe11rnwJigIzElbtjjc21z2d66nYA8scQpJceE3xegu7V3QtcR1GO/3Yk/IEesAD+kOM1MXY9noF+WEFtEAiZMjsr1UHgi6AzhvU/6rOCjmIaMWbWOWvIt+UhjbGXSVufElmce8XXz0+bT4+mhpqdmQvGlZgdH2NobxDTkVFHeFKz5K8uK7BZURTYTvV6ZVocY8Y9FIgETJq6rDtr3h3/6ESC1JLglkSjEj1k1PTVj3oIo4A/Q3uAcdgVkyLy0YCH+ttZtE4ovOTMBJOhojL0mmcLwdjf1YNRpBgrjI6XowErIilaR7McikYAJE1d1YIuIojAX4ENwhM1WKkbAYpQv4KPZ1UyueWwbrne2uPF7A6TlDq3/CplmnYZZb55wPzCdQYs1LZ6ORvGlOFWUN/cwIzMRrSYMDaaPoDg9lICJZD8WiQRMmLjK98CUHiyQj4T0MrDvisy9hIhqdjXjl/3kJo4tATtYgD/yCJhG0jDXNnfCI2AAqTlm2kUCNiXIskx5k4OyzMhOPwJkWeIwaiUqxQhYTBIJmDAxgUAwASv6Wni2HxpO+izoqoV+0Ysp1jQ4GwDIMY9ts+u2OgdanSY4PXgE89LmsbdzL26ve9wxAqRkm+i2u/F5xZZEsa7V0U+Hy8PMrMgW4ANoNBI5Fn1M7gkpiARMmCj7LnC1Rqb+K2SgEH935O4pRMR4E7DWOiepOSY02iN/pM1Lm4df9rOrfWIjqKnZZmQZOpsnlsgJ0a+8WZkC/JBcq15MQcYokYAJE1P5XvCx6KuRu2fajOBj297I3VOIiHpHPVpJS6Ypc9SvkWWZtvrhtyA63FzbXAC2tU1sGjIlO1iMLerAYl95Uw+AIlOQEEzA6jt76ROjrTFHJGDCxNR8DClFYB1bzc6EJBWARg/tohdYrGlwNpBpykSnGf12L87OfvpdPtKGacB6uOS4ZPIT8yfcEd+aHo9GJ9HeIEYmYt3uph6yrXFYE/RHPzkMci0GZBlq2sVoa6wRCZgwfoEA1HwCBSdG9r5aXTDpE81YY06Ds2HMKyBD+zKOZgQMgtOQW1q3TKi5pVarITkjQWxJNAWUNzmYqdD0I0CeNZj4iWnI2CMSMGH87LugrwsKx7+58bjZposELAbVO+rJSRxjAX69E6TgysTRWJSxiLbetoEtj8YrKSOBrhYxKhHL+n1+KlqdlClQgB+SYwkmYJUiAYs5IgETxq/m4+BjwQmRv7dtOnRUgt8X+XsLYdHr66W9r31cKyCTMxLQG7WjOn9JxhIANjZvHHOMh0pKT6CnrQ+/2BMyZlXYXfgCMjMVqv8CiNdryLTEiVYUMUgkYML41XwM1nxIGlvX8kmROh0CXuia2LYyQvRodDYC41kB6cB2hAashyuwFJAWnzbxBCwzATkg42jrm9B1hOg1UICv4BQkQHG6iYo2kYDFGpGACeMjywfqvxQY/YJgN3wQKyFjyHhaUPQ5vTg7+kdd/wUgSRKLMxezqXnThOrAktKDPcfENGTs2t0c3IKoMPXI/eXCrchmptLuFJtyxxiRgAnj07Yv2P+rMMIF+CG2koNxCDGh3lEPMKYu+G31wQL8tDEkYABLMpdg77VPqA4sKeNAAmYXCVisKm9yMCMzEd1R+suFW1GaCUe/j1an2JQ7logETBifmo+Cj5FeARkSnwymNDECFkManA3EaeNIjUsd9WtaB7YgGv0UJMDijMXAxOrA4kx64kx6OsUIWMza3dzDzEzlCvBDig9syi3qwGKLSMCE8an7PJgApRQpF4OtFNr3K3d/YVI1OBvINmcjjWFLq7Y6B6YkI/GJhjHdq9BSiC3eNvE6sIx4ukUCFpPsjj7anB7F678gOAIGohVFrBEJmDA+9Rsh99jI7f84nNQSMQIWQ+od9WPfhLveOaoGrIeTJIklGUvY2LxxYnVgohVFzNrdFJzeVnIFZEi2NZ44vUaMgMUYkYAJY+fuCI485S5WNg5bKbjbg/EIqtfobBxTAb7P46ez2T2mAvxDHZt1LK29rVR0VYzr9RBMwFzdHjx9oh1KrDm4AlL5KUiNRmKazSx6gcUYkYAJY9ewOfiYu0TZOGzTg4+iEF/1HB4HDq+DbFP2qF/T3uBCDshjrv8KWZoTbCD8YcOH43o9HFwJ2W3vHfc1hOi0u9lBljWOpISxTW+HS1GaiQoxAhZTRAImjF39RpA0kL1Q2ThCCZjYE1L1Qj3AssxZo37NeFdAhmSaMilNLp1YAiZWQsas8qboKMAPKbaZqO900+8Tm3LHCpGACWNXvxHSZ4NxfCMPkyapALQGUQcWA5pdzQBkmUafgLXWOTHE60hMjRv3fZfmLOXLli9xesY3tWNNiwdJ9AKLNR5fgP12Z1QU4IcUp5sJiE25Y4pIwISxCQSgfrPy9V8AGi2kFEObWAmpdo2u4AhYtnn0U5BtBzrgj2XV5OGW5SzDJ/v4tOnTcb1eZ9CSmBwnErAYU9HqDG5BFEUJWJEt+BfeCruoA4sVIgETxqZ9H/R3K1//FWITKyFjQZOrCb1GT0pcyqjODwRk2uud455+DJmfPp9EfeKEpiGt6fEiAYsxoQL8WVFQgB8y7UArikqxJVHMEAmYMDb1B/omRU0CVgqdVeD3Kh2JMAHNzmYyTZlopNF9JHW1uPF5A9jyJzYNrtfoOT77eD6s/3Dc7SisafH0iP0gY8ruZgcGnYbCVJPSoQwwG3VkWuJEL7AYIhIwYWwavgCjJdiDKxqkToeADzqrlY5EmIBGV+OYVkC21k6sAP9Qy3KX0drbyq72XeN6vcUWT5/LS3+vaEURK8qbepiRofwWRIcTKyFjS3T9dgnRr3kbZM4DTZT86gxsyi1WQqpZk6uJTFPmqM9vrXWg02tIzpz4Jskn552MTtLxZs2b43q9NS0egJ420YoiVpQ3OaJqBWRIUZqJylaxKXesiJJvUUEVAn5o3gFZ85SO5KDU4uCj2JJItbx+L63u1jEV4LfWOkjNNaOZhBEKq9HKV7K/wlvVb43ri81iO5CAtYoELBa0Ovppc/ZHVQF+SHGaGUefjzanR+lQhEkgEjBh9Nr2ga83OAIWLeKTgntSil5gqtXibkFGHnULCjkg01rnIC1/8kYoTi84nQZnA7s6xj4NaTkwAtYtRsBiwp7m4PR2WVSOgB1YCSnqwGKCSMCE0WveFnyMphEwCNajtY9/OxlBWU2uJmD0TVi7W3vx9vknNQFbnr88OA1ZPfZpSGO8jjiTXoyAxYjdzcEVkDOiMQGzHVgJKerAYoJIwITRa9oKWuPBuqtokVoiasBUbCABG+UIWGvdgQL8SUzAJj4NGSdqwGLE7mYHaYlGUs1GpUMZIicpHqNOI/aEjBEiARNGr3kbZMwCrV7pSAZLLQGXHfq6lY5EGIcmZzABG20RfmutA41OIiVrclsEhKYhd7bvHPNrrWnxdIsRsJiwpzk6C/AhtCm3SUxBxgiRgAmjI8vQtA2y5isdyVADe0KKQnw1anI1kRqXilE7uhGH1loHqdlmtLrJ/fg6peAUDBoDL1e8PObXWmzxODr6CfgDkxqTEFk+f4C9LdGbgEGwEF80Y40NIgETRqerFvq6oqsAPyTUk0zUgalSk6tp9AX4skxrrYO0gsn/grQYLCzPX85rVa/hHWNjX0taPHJAxtnZP+lxCZFT3e6m3xdgZmb0rYAMKU4zUdchNuWOBSIBE0ZnoAA/CkfAkgtB0og6MJVqdDaOugDf0d5Hv9s3KQ1Yh3NO8Tl09XfxQf0HY3qd9UArCjENqW6hFZAzo2gLosMVpYlNuWOFSMCE0WneHkxy0mcpHclQOiMkFYgpSBWSZZlmV7OiBfiHOj77eNLi03ih4oUxvc4imrHGhN3NPWg1EiXpE9viKpyKQntCijow1RMJmDA6LTshpRgME+88HhapJaIXmAp19nfS5+8bdRPW1hoHGo1Eak549ujTaXScVXQWH9V/REdfx6hfZ0oyotFJYgRM5XY3OyiymTDqtEqHMqKDvcBEHZjahSUBCwQC3HzzzaxatYo1a9ZQU1Mz6Pi6detYuXIlq1at4umnnwbA7/dz4403snr1ai699FJqa2vDEZowXq27IX2m0lGMzDY9WAMmtuhQlVALilGvgKxzkJxtQqcP3xfkuSXn4pN9YyrG12gkLKnxYgRM5XY390Rl/69DmY06MixG0QssBoQlAXvnnXfweDysXbuWa6+9lt/97ncDx7xeL3feeScPP/wwjz32GGvXrqW1tZX169cD8NRTT3HNNddw5513hiM0YTy8fdBRGZ3TjyGpxeB1Q0+j0pEIY9DsbAYY1UbcAwX4YZp+DClOKmZe2jye2/fcmHqCWWxxYgRMxZz9Puo6eimLwi2IDldkM4tWFDEgLAnY5s2bWbZsGQALFixgx44dA8cqKirIz8/HarViMBg45phj2LRpE6eeeiq33XYbAI2NjdhstnCEJoxH216QA5BepnQkI0sVrSjUqNEVTJhHUwPm6vLQ6/CGrQD/UBdOv5DK7kq2tm4d9Wsstngc7X1hjEoIp1AB/oyM6B4BAyhOF5tyx4KwJGBOpxOz+WARo1arxefzDRxLTDz4C24ymXA6g5m8TqfjF7/4Bbfddhunn356OEITxsNeHnxMi+YELNSKQtSBqUmTq4l4XTxWo/Wo59prglvEpIehBcXhTi88nQRdAv/d+99Rv8aSGk+/20e/e2wtLIToENqCKJpXQIYU2cz09Plod4lNudVMF46Lms1mXK6D89OBQACdTjfsMZfLNSgh+/3vf891113HRRddxKuvvkpCwuCi7/Ly8nCEPGn6+vqiPsaxStv9EakaHbtbvdA++p8tou+FLDNDG0fnvo3YzSdG5p5jFIu/G+MVei/2NO0hRZfC7t27j/qais09wW4jrgY6y8M/1XxC8gm8UfUG51vPJ0F39MUnPX3B6cetG8tJTB/bbhHid+Mgpd6LT3e1kaCX6GmqprxZivj9RzLc+6HvC7agWLdxJ3Mz45UISxGx9uckLAnYokWLWL9+PStWrGDLli2Ulh7cO7C4uJiamhq6urpISEhg06ZNXHnllbzwwgu0tLTw/e9/n/j4eCRJQqsdWmhbVhbFozAEE8Roj3HMvrSDrZSy2XPH9LKIvxcfTCdV7iA1St//mPzdGKfQe+GqcFGYUjiq92XfW1+SmiMxZ25kahGvTLuSd159hwpDBRfNuOio59tMDna8tpFUSybFZeljupf43ThIqfei5f0NzMpOYtas6Kp1He79MGe44Z1m/CYbZWX5CkUWeWr8c7J58+YRj4UlATvttNP4+OOPWb16NbIsc8cdd/Dyyy/jdrtZtWoVN9xwA1deeSWyLLNy5UoyMjL4+te/zo033sill16Kz+fjl7/8JUZj9G2GOiXZd0HuEqWjOLrU6dD4pdJRCGPQ5GqiLPXoH6iyLGOvcVB8zNgSm4mYnTqbGckzeHbfs6NKwBJT4wDoaRN1YGojyzJ7Whx8Y97o+tEpLVtsyh0TwpKAaTQabr311kHPFRcXD/z78uXLWb58+aDjCQkJ/OlPfwpHOMJE9DuD2xAt/JbSkRxdagnsegF8HtAZlI5GOIo+Xx8dfR2jKsDvbu2l3+0joyByK9QkSeKC6Rdw5+d3Ut5eftRE0ZigwxCnxSFaUahOu8tDd6+X6VHcgPVQ2oFNuUUrCjUTjViFI2vdE3yM5hWQIaklwdWanVVKRyKMQrMr2IJiNAmYvfpAAX5hZAukv1H0DYxaI8/ue/ao50qSRKItnh6xElJ19tuDI0nFaepIwCDYEV+MgKmbSMCEI2s9UPCohgTMFloJKVpRqMFYWlDYqx3o9BpSssLTAX8kVqOV0wpO49XKV+n1HX1ky5IaJ5qxqlCop1axSkbAIJgs1nX2ik25VUwkYMKR2ctBFxfc8DrahVpRiE25VWFgBGwUG3Hba3qw5SWi0Ub+I+uC6Rfg9Dp5q/qto54b6gUm+jOpy367kwSDlixLnNKhjFpRmgl/QKZWbMqtWiIBE46svSK4B6QmevdGGxBnBVO6GAFTiSZXExpJQ3rCkQvrA/4ArbUOMgqV6VC+OGMxBZYCntv33FHPtdji8HkD9DpELzA1qWh1UZRmQqOJnvYTR1NkE3tCqp1IwIQj66iA1CKloxi91BKRgKlEk7OJtPg09Joj98zqaHLj8wYiXv8VEirG/8L+BZVdlUc815Ia7MkkpiHVpcLupERF9V8QHAEDqGwTdWBqJRIwYWR+H3RUBUfA1MImEjC1aHI1ja0AP4IrIA93TvE56CTdUUfBEm0HWlG0iwRMLdweHw1dvaoqwAdIjNOTnmikwi5GwNRKJGDCyLrrIOA9WFulBqkl4GqF3i6lIxGOYrQJWEtND8YEHdZ05Tp+2+JtLM1ZyuvVrxOQAyOed3AETKyEVIvKA1N4JSoqwA8pSjOJETAVEwmYMLL2iuBjqopGwAY25a5QNg7hiAJygGZX8+gK8Kt7SMtPRJKUrc85fdrp2N12tti3jHiO3qglPlEveoGpiBpXQIYUp5mpbHWJRR8qJRIwYWQdoQRMZSNgIDbljnI93h68Ae9RR8B8Xj8dDS7SFSrAP9TJeSdj1Bp5ver1I55nEb3AVGW/3YlWI1GQevT9PqNNUZqZ7l6v2JRbpUQCJoysfT8YEsGUpnQko5dcCJJW1IFFuVZPK3D0HmBtdU4CAVmxFZCHMulNnJR7Em/XvI0/MHLvJdELTF0qWp3kpyRg1KlgpfdhBgrxxUpIVRIJmDCy9org9KPCUz9jojNAcoHoBRbl2jxtAGSaMo94XksUFOAf6ozCM2jva2dTy6YRz0m0xePs6CcQCN+0kBwI4Fi/Hvs999D069/Q8eij+Fpbw3a/WFZhd1GcFtkGv5MltHJTdMRXp7DsBSnEiPb9kLtY6SjGLnW6qAGLcm39wQQs25x9xPPsNT0kWA2Yk42RCOuoluUuI14Xz+tVr/OVrK8Me44lNY5AQMbZ2TdQlD+Z+vbupemmX9G3bRvo9WgTEujq7sb+h/tIvfJKbP/z/5C06hvNUUIgIFPd7mLZdJvSoYxLdlI8Bp1moI5NUBcxAiYMz+cJroJUU/1XSGpJsH4tMPJqNUFZbZ42zHoziYYj9/ayVzuiZvQLIF4Xz0m5J/F+/fsjroa02IJJlyMMKyHdX3xJzWVr8DY2knXnnczYvInSzz6l6LXXSFx+Mm1/+Qv1P7qGQK+YAh0Nu6Offl+AAps6R8C0GolpqSYxBalSIgEThtdZHdzYWk09wEJSi8HrBkej0pEII2jtbz3q9GN/r4+uFjcZCjVgHcnSnKW09baxp2PPsMctYeoF1l9ZSd1VV6FLTmba2qdIOv88NAYDAMaiaWTfey8ZN92Ec/16Gq69Dtnnm9T7x6Lq9mDiUqjCAvyQ4nQTlW0iAVMjkYAJwwsVsatxBMx2oBWFqAOLWu2e9qMW4LfWHKj/ioIC/EMtzVkKwEcNHw173JwchyRNbi+wgMtF/Y+uQYqLI/+Rf6PPyRlyjiRJpFx2KRn/+784162j5a67Ju3+sapmIAFT5wgYBLckqu1w4/GJEX+1EQmYMLyBFhQq2oYoxDYj+Ni2V9k4hBG1edqOWv8VbQX4IbZ4G2UpZSMmYFqdBlOScVJHwFruuQdPVRU5f7gXfeaRRw5TLruU5DVr6Hz0MRzr109aDLGout2NTiORZVXPJtyHG9iUu0OMgqmNSMCE4bXvh/gUiE9WOpKxM6dDXBLYy5WORBiG2+vG4XMcdQrSXuPAkhZPnOnIe0UqYWnOUra0bqG7v3vY4xZb/KTVgPVu3UrXU2tJvuxSTMcdN6rXpF9/HcYZM2j65f/ia2+flDhiUW27m7yUBHRa9X4VhrZQEptyq496f+uE8GqvUOf0IwTbZqSXQevwNTqCsppdzcDRe4DZq3vIKIiu+q+Qk3JPIiAH2NC0YdjjltS4SWnGKgcCNN1yC7q0NNKuuWbUr9MYDGTffRd+hwP7PfdOOI5YVd3uUmUD1kOJXmDqJRIwYXihHmBqlTYDWstBbNERdZpcTcCREzB3jwdnZ3/U1X+FzLXNxWKw8FH98NOQibZ4XN39+L0Tq8vpee11+neVk379dWjNY9sqJ660lNTLL6f7+edxb948oThikSzL1LS7VV3/BcFNudMSjaIVhQqJBEwYyuMKriBUdQJWBr2dwY25hagSSsCOVANmr47OAvwQrUbL8dnHs6Fxw7D78FlscSCDo2P8o2Cy10vrn+/HWFqK5RvfGNc1bP/vanRZWbTccSeyaMsySLvLg7PfR36KukfAAIrTTKIZqwqJBEwYqqMy+KjGFhQhaQcK8Vt3KxuHMESjsxENGmzxIze/bKnuQZIgLS86pyABFmcsxt5rp8HZMORYqAHrRLYk6n7pZbw1taT95CdImvF9VGsSEkj/yY/p27kTxxtvjDuWWFTT7gag0Kb+BKwozUyF2JRbdUQCJgzVrsJNuA+XNjP4aBcJWLRpdjWTYkhBpxl5Iw57TQ8p2Sb0xujt6L4wfSEAX9q/HHLsYC+w8Y2AyYEA7f/4B8ZZZZhP/tp4QwzGctZZGGfMwP7HPyF7vRO6ViwJtaAoUPkUJECRzUR3r5cOsSm3qogETBgq1AMsRYUtKEISMyHOKkbAolCTqwmbYeTRL1mWo64D/nBKkkpI1Cfyhf2LIcdMViManTTuETDHu+/iqaoi9corkSa4F6uk1ZL24x/jra2l+9VXJ3StWFLd7kYjQW7y5G8XFWnF6Qf2hBQNWVVFJGDCUB2VkJgFxrEV/UYVSQqOgokELOo0uZqwGUdOwBztffS5vFFb/xWi1WiZnz6fL1uGjoBJGonElLhxN2PtePhf6HNzsZx++kTDBMB88tcwlpbS/tA/RC3YATXtLrKs8Rh10TvKOlrFNrEptxqJBEwYqn2/uuu/QkQCFnX8AT8trpYjjoCFGrBmRHkCBrAofREV3RV09XUNOWaxxeMYRzPWvt276f3yS5IvuxRJN/I07VhIkkTqd7+Lp6ICp2jOCgRrwNTegiIkJzm0KbcYAVOTUSVgO3bsCHccQjRRewuKkLSZ4G4HV5vSkQgHtPW24ZN9RxwBs1f3oNVpSMmJ/tqcUB3YltYtQ45ZUsc3Atb51FNIRiNJ5503wegOi+fMM9Dn5tL24IOiWBto6OolLzk2ErCDm3KLETA1GVUC9s9//pOLLrqIxx9/nJ6ennDHJCiptwvcbTGSgB1YCSk64keNUAuKI42A2Wsc2PLMaFXQnXyObQ46jW7YOjCLLZ4+lxdP3+g3xfY7XfS89DKWM89Em5Q0iZGCpNOReuUV9G3dhvuzzyf12mrT7/PT6ugnO0n99V8hRWkm0YxVZUb1CXfffffx0EMPIUkSP/7xj7n22mv57LPPwh2boITQHpCxMAWZXhZ8FNOQUSPUBT/NkDbs8UBAxl4b/QX4IXG6OOakzhm2Diwx9cBKyDGMgvW88jIBt5vki1dPWoyHsl5wAVqbjfYHHwzL9dWiuTv4/yQ7Sb17QB6uKM1EjdiUW1VG/VfMtrY2Ghsb6ezsJDk5mTfeeIMbb7wxnLEJSmg/0ANMzS0oQhKzwGgRCVgUaXQ1ApBqTB32eGezC1+/n/TC6O3/dbgF6QvY2b4Tr39wiweLbWy9wGRZpvOptRjLyoibN2/S4wTQGI2kfOtbuD75hL69U3ez+obO4P+TnBhYARlSnGY+sCm3W+lQhFEaVQL2zW9+k9/85jfMnDmTp59+mptuuolf//rX2O32cMcnRFr7fkCC5EKlI5m4gZWQYk/IaNHkbCLRkEiCdvjaG3u1A1BHAX7I7NTZeANe9nftH/R8qBeYY5S9wPq2bqV/926SV62acOuJI0n65oVIBgOdTz4ZtntEu4auAwlYTE1BipWQajOqBOxXv/oVjz32GGeffTYGg4HPPw/WD/zzn/8Ma3CCAjoqICkP9DEyNJ82Q4yARZFmV/MR94C01/Sgj9OSlK6e4uiy1OBUd3nH4FrDOJMevVE76hGwziefQmMyYTnrrEmP8VC65GQsK1bQ8+JL+J1T88s6lIBlWmPkc46Dm3KLlZDqccQEbNOmTTz11FP8/Oc/Z+3ataxdu5YnnniCW2+9NVLxCZEWKy0oQtJmBveDdLUrHYlAsAg/23SEPSBrHKTnJyJpwjcCNNnyEvMw6U3sat816HlJkrDY4kbXDd/hoOf117GcczZac/hXfyZfegkBt5vuF14M+72iUWNXL+mJxpjoARZiObAptxgBU48jJmAWi4W2tjY8Hg+tra20trbS2dnJ9ddfH6n4hEiS5WANWCzUf4WkH9iSqFWshIwGja5GMk2Zwx7z+wK01ztJU0kBfohG0jAzZeaQETCAxNRR9gJbtx7Z4yF5dXiK7w8XP3cucfPm0fnEE1OyJUVjV19MrYAMKbKZRDd8FTlil7/S0lJKS0u56KKLSE9Pj1RMglJcbdDfHRstKELSZwUf7eVQuFTZWKY4p8eJw+Mgyzz8FGRHowu/L0B6gXoK8EPKUsr4797/4gv4Bu1xaUmNo2FPJ7Isj1jXJcsyvPkm8QsXEjdjRqRCJvmSi2m64Ubcn36K6fjjI3bfaNDQ1cusLHUl+qNRlGbm9R1NSochjNIRR8CuueYaAC644AKWLl066B8hBnXEwCbch0vMgvhkaN6udCRTXqgFxUg1YPaaYI9BtbSgONSs1Fn0+fuo7q4e9LzFFo+330+fa+RNsN2ffQZNTSSvXhXmKAeznHkm2uRkOp94IqL3VZosyzR09cbUCsiQ4jQTXW6xKbdaHHEE7P777wfgo48+ikgwgsJiYRPuw0kSZMyBlp1KRzLlhZqwZpmyYJiyKHuNA2OCbmD1oJqUpRwsxC9JPvgXmEN7gcWbDcO+tvPJp8BsJvGMM8If6CE0RiNJKy+g/V//xmu3o58isxztLg8eX4DsGCrADyk+ZCVkiilF4WiEoxnVKsiNGzfywQcf8P7773Pqqafy8ssvhzsuQQntFaDRQVKB0pFMrow5YN8FYhNiRTU6gz3AjjQCll6QGNYWDOFSaC0kThs3pBD/aL3AvHY7jnffhVOWozEawx7n4awrV4LfT89LL0X83ko52ANMPSttR+vgSkhRiK8Go0rA7r77bgoLC3n00Ud58skneeqpp8Idl6CE9v3B/l/aydkAOGpkzAavGzqrlI5kSmtwNmDQGEhLGNoF3+f109HgUuX0I4BOo6M0pXRIIf7ReoF1P/ss+Hzw9a+HPcbhGKdNI/6YY+h69rkpU4zfeKAFRSx1wQ/JTU7AoNWILYlUYlQJmNFoJDU1FZ1OR1paGh6PmF+OSR2VsdWCIiRzTvCxRWwqr6QGZwPZ5mw00tCPnbZ6J4GArNoEDILTkLs7dhOQD460GuJ0xJn0w46AyX4/nU8/g+mE4yF75NYc4ZZ0wQV4qqro/XKLYjFEUiw2YQ3RaiQKbQmiF5hKjCoBM5vNXH755Zx55pn85z//IStr5EaKgkoFAsEpyFgqwA9JmwmSBppFAqakBmcDOeacYY+11gQ74KepcAVkyMyUmbi8LhqcDYOeH6kXmPODD/A1NZG0KjKtJ0ZiOeN0NAkJdD33rKJxREpDVy8mgxZrvF7pUMKiyGamsk1MQarBqOaa/vSnP1FbW0tJSQl79+7lm9/8ZrjjEiLN0QS+XkiNoQL8EH18MLEUhfiKanA2MCt11rDH7DU9xCfqMSdHvg5qspQkBf/yUtFVQV5i3sDzianxtNU7hpzf+dRT6NLSSFx+MuzfP+R4pGhMJhJXnInjtdcJ3HgjGlP4G8EqqbGrl+ykeFXWGo5GUZqJd8pb8PoD6LWj3u5ZUMCo/u+0t7ezfv16/u///o+33nqLBx98MNxxCZEWiy0oDpUxB1pEKwqluLwuuvq7RhwBs9c4SC+wqPpLsTgpOH0/3J6Qjo4+5MDBGitPXR2uDz4M7suoV34kJumClQTcbnreeFPpUMIuVpuwhhSnmfGJTblVYVQJ2I9//GOcTic2m23gHyHGDLSgiMEaMAgW4nfVQl+30pFMSaFpueESME+fj84mlyobsB4q0ZBIRkLGMAlYPAGfjKu7f+C5jkcfA51O8enHkPiFCzBMm0bXc88pHUrYxWoPsJDQSkhRiB/9RjUFaTKZ+OlPfxruWAQltVeALg4sw49QqF7m3OCjvRzyj1M2liko1IJiuASsrd6JLKuzAevhSpJLqOiqGPSc5ZBeYObkOPw9PXQ/+yzWFWeiz4iO3luSJJG08gLs99xLf1UVxmnTlA4pLHo9fjpcnpgswA8pOtALrKLVyWlkKByNcCSjGgGbPn06r776KpWVlVRVVVFVJZbzx5z2imADVk2M1gxkzA4+io74ihgYAUscmoDFQgF+SIm1hKruKvwB/8BzA73ADuwJ2fXMfwm43aR8+9uKxDgS67nnglZL93PPKx1K2DTEcAuKEGu8HptZbMqtBqMaASsvL6e8/GB/G0mSePTRR8MWlKCAjgpIi9w+dBFnyYE4qyjEV0i9o554XTzJxuQhx1qqezAlGTFZ1VuAH1KcVEy/v596Zz0FlmBD48SUOJCCI2Cyz0fH44+TcOyxxM0afkGCUnRpaZi/+lW6X3iBtB9fg6SLsX6AHOwBlpMUe01YD1WUZhJTkCowqj9hjz32GA6Hg4aGBvLy8jDF+CqZKcfvg44qmLFC6UjCR5IgY67oBaaQRmcjOeacYYvsW2sdqq//CgmthNzfuX8gAdPqNZisRhztvTjeegtfUxOZv7pJyTBHlLTyAurXrcP54Ycknnyy0uFMulhuwnqo4jQTb+xoVjoM4ShGNd/05ptvsmbNGq6//nr+/e9/89e//jXccQmR1F0HAW/sroAMyZgNLWJLIiWM1AOsv9dHV4s7Juq/4MgrIXtae2l/5BH0BfmYv/Y1BaI7OvNJJ6FNSaH7hReVDiUsGrp60UiQYYn1BMxMp9tLp9iUO6qNKgH717/+xdNPP01SUhL/8z//wzvvvBPuuIRIag+1oIjRFZAhmXPA6xJbEimg0dlItnlot/fW2mD9V6yMgCXoE8gx5wxTiB8P5Zvp27qN1O98BylKay0lvR7LWd/AuW4d/q4upcOZdA1dvWRa4mK+P9bASkjRkDWqjeq3UJIkDAYDkiQhSRLx8bG7gmRKCvUAi9UWFCGhQnwxDRlR3f3dOLyOYUfA7NU9QGwU4IcUJxWzv3vwCFhiqpGs7S+gy8wMboAdxZLOOw/Z66Xn9deVDmXShZqwxroi24GVkHZRBxbNRpWALVmyhGuvvZaWlhZuvvlm5s6dG+64hEhq3w+GRDBHx5L4sEmfBZJWrISMsNAKyFxz7pBj9hoHialxxJsNkQ4rbEqSSqjursYb8A48Z2nagbWnioRLL0djiO6f1VhWhrG0lK4XXlA6lEkX6z3AQnKT49FpJKrbRQIWzY6agO3evRuNRsPOnTs555xzmD59OjfccEMkYhMipb0iuAWRiruQj4o+Hmyl0LRN6UimlFAPsOGmINvqHaTlx87oFwQTMG/AS11PHRDcdFvz/EP0xqXiXXyawtEdnSRJWM87j76t2+ivjJ3pen9Aprk7trvgh+i0GnKT46kR3fCj2hETsNdff51f/vKX5OTkcP3112OxWHj66adFDVisad8f+wX4IZlzxQhYhI3UA8zT56Pb3ost16xEWGEzzRpsYlrVE0xeup57jkB1BfuLzqO706dkaKNmPfusYE+wGBoFa3P24/XLUyIBAyhINVEjRsCi2hHbUDz66KM8/vjjJCQc7Jly/vnn8//+3//j1FNPDXtwQgT4PMFVkPNWKR1JZGTNg+1Pg6sNTGJLrUioc9RhNVqxGAavdGyvDxYIp+XF1ghYoaUQgOruavxdXbT+8U/EL1xIV/piuu29ygY3Srq0NMxLl9L94ovBnmBardIhTVh9Z/C9z50yCVgCX9R0IsuyqvdYjWVHHAHT6XSDki8As9mMNgb+MAoHdFaDHJhCI2Dzgo9NW5WNYwqp7aklz5w35Pm2AwmYLS+2RsDMBjO2eBvVPdW03H03/q4uMn99M0kZJrrt6pkSsp5/Hr6WFlyffqp0KJPiYA+wqZKAmXD0++h0e49+sqCIIyZgI2XNAdFHKXaENuGO9RYUIaE9IcU0ZMTUOerIswxNwFrrHMSZ9JiS1N8B/3AFlgIq67fT/exzpF5xOXEzZ5KUHk+XihIw88kno7FYYqYn2FRpwhpSmBocPBGF+NHriFOQ+/fv59prrx30nCzLVFRUjPAKQXUGWlAUKRtHpCSkgDUPmkUhfiR4A16aXE2sKBq6y0JbnRNbnjkmp0cKjFm80/kFhuJibP/zPwBY0xPYv9mO3xdAq4v+PlQaoxHLijPpfuFF/E4nWrO6RyobunqxxOlIjNMrHUpEFBxIwGrb3SzKH7oFmKC8IyZgf/zjH4d9fvXq1eGIRVBC+36ITwkmJlNF5jyxEjJCmpxN+GU/+Yn5g54P+GU6Gl3MPXloawq1k/1+kt/bRk+RjPmu36A50DcxKT0eWYaetl6SM9WxnVvSeefR9dRaHG++SVKU9y87mqnSAywkNzkBSRIjYNHsiAnYscceG6k4BKW0V0yd+q+QrHmw5zXod4JR3X+rj3a1jloA8hIHT0G6O334fYGYWwEJYL/rbmybq6BIS1OajowDz1vTgyMSXXb1JGBx8+djKCyk+/kXVJ+ANXT1kTOFErA4vZZsazw17eqZ9p5qon8cXAiv9oqpU/8VkjkXkMG+S+lIYl6dI9gL6/AEzNEaLAyOtRWQHY8+SscjjzBz2bkAVPdUDxxLOpCAqakQX5IkrOefj3vTJjx1dUqHMyENne4p0YT1UPkpCaIVRRQTCdhU5nGBozH2tyA6nFgJGTG1PbXE6+KxxQ9u+eFs9aHVa0jKiJ0vxK5nn6XljjtJPO005v/01+g0Oqq7qweOx5n1GBN0dKmkFUWI9dxzQJJUXYzv6PPS0+ebUlOQAIW2BDECFsVEAjaVdVQGH6faCJg1F+KTRSF+BNQ76slNzB1SaO9o9ZKabUITI5sid659mqb/vQnTiSeSfe896A1x5CXmUdNTM+g8a3qCqkbAAPSZmZiOP47uF19EVukK+MauPmDqtKAIKUg10e7y4OgTrSiiUVg+/QKBADfffDOrVq1izZo11NQM/hBat24dK1euZNWqVTz99NMAeL1err/+ei655BIuvPBC3n333XCEJhyq/cAKyKmWgElScBRMtKIIu1pH7ZACfFmWcbZ6scXIFkQdjz5G869/jemrJ5H7178M7PVYYCkYNAUJqK4VRYj1vPPw1tfTu3mz0qGMS6gFxVSqAQMoSAlOe4tRsOgUlgTsnXfewePxsHbtWq699lp+97vfDRzzer3ceeedPPzwwzz22GOsXbuW1tZWXnrpJZKSknjiiSd46KGHuO2228IRmnCoUA+wqTYFCcE6sJZd4Bd/MwyXgByg3lE/tP6row9fv0xaDBTgtz/8L1ruuIPE004l789/RmM82NNsmmUatT21+AP+gees6Qk4O/vxefzDXS5qJZ56KpqEBNVu0N0wVROw1OBiD5GARaewJGCbN29m2bJlACxYsIAdO3YMHKuoqCA/Px+r1YrBYOCYY45h06ZNnHHGGfz4xz8eOE9024+AjkowZ07NlYBZ88HfD217lY4kZtnddjwBz5AErK0u1AFf3SNgHY89jv2uu0g84wxy/vAHpAMjXyGF1kI8AQ+NrsaB55LS40GG7lZ11YFpEhJIPOMMHG+8ScCtvi/zhq5e9FqJ9MTYa/p7JAWiGWtUO2IbivFyOp2YD2nap9Vq8fl86HQ6nE4niYkHP3hNJhNOpxOTyTTw2muuuYaf/OQnw167vLw8HCFPmr6+vqiPMaSgbityQja1YYo3mt8Lg9tMMdC4+Q26p0WmDima349w2NmzEwC5Ux70c1d96QCgzVlPZ3njsK+Nem+9DQ88AMcei+PKK9i9f/+QUyRHsO7twx0fsjBpIQCO3uCI647Ne0nvOTgao4rfjUUL4bnn2PPIo/C1r4btNuF4L8pr7KTGa9mzZ/ekXjcSJvp+JMdp2VbZSHmm+kf7VfHnZAzCkoCZzWZcroMZdyAQQKfTDXvM5XINJGRNTU384Ac/4JJLLuHss88e9tplZWXhCHnSlJeXR32MAMgyvFgPs88PW7xR/V74p8M7cWRr2smOUIxR/X6Ewa69wTYfS+csJcecM/B81XvbSEjuZc682UqFNiE9r71Gw9/+humkZeT+3/8N1HwdLqMvA8rBb/UP/H/3FvnZ+OT7JGiTKSubNnCuGn435BkzqPjb3zFs/Jz8/3d12O4TjvfC9X4nBWmGqH+PhzPR96M4o5Mun6TKn/1wavhzcrjNR6ibDMtf/RctWsQHH3wAwJYtWygtLR04VlxcTE1NDV1dXXg8HjZt2sTChQtpa2vjiiuu4Prrr+fCCy8MR1jCodzt0NcFtulKR6IMrQ4yZouVkGFU56hDp9GRmZA56Pm2eidmmzq3g+ndsZPGG39J/DGLyL3//hGTL4BkYzIWg2XQSki9UUtiShydzeqbxpM0Gqznnotrw6d4m5qUDmdMGjp7p1wPsJCCVJOoAYtSYUnATjvtNAwGA6tXr+bOO+/kxhtv5OWXX2bt2rXo9XpuuOEGrrzySlavXs3KlSvJyMjgb3/7Gz09Pfz1r39lzZo1rFmzhr6+vnCEJwC07Qs+2kqPfF4sy5wXTMBkWelIYlJ1TzV5iXloNQfrOT19PhztfZhsYRl8Dyt/dzf11/wIbWpKMPmKO/KmzpIkUWgtHNQLDCA5K4HOZnXW5FjPOxdkme6XXlY6lFHz+QM090ytLviHKkhNoLmnjz6vuhZ+TAVh+RTUaDTceuutg54rLj640m758uUsX7580PGbbrqJm266KRzhCMNpP5CATbVtiA6VNQ82/wu6aiC5UOloYk51dzWFlsJBz3U0BhMPc6r6RsCab70Nn72VwiefQJcyur1TCy2FfNr06aDnkjNNNO7tQg7ISBp1bURuyMsjfvExdL/wAqnf+64qNlJvcfQTkKdeD7CQgU25O9yUZqh74UusiY0uiMLYte0DrRGS8o9+bqwKdcQX/cAmnT/gp9ZRS6G1cNDz7Q3BFZBmlY2A9bzxJj2vvkraD/6H+LlzR/26Qkshdrcdt/fgFFByZgI+bwBHhzpH+JPOOw9PVRV929Qxfd/QOTVbUIQUHmhFUd2mzlHXWCYSsKmqbR+kFIFmCrf7SJ8Fkgaa1PFFoiaNzka8AS/TLNMGPd/e6EJn1BJnUc/vXcDlouXOOzHOKiP1u98d02tDCeihDVmTs4JfiB1N6vxCTDzjDKS4OLqef17pUEYl1IRVjICJOrBoIxKwqap9H9im8PQjgCEhWAMnCvEnXVVPFcCQEbCOBiep2SZVTF2FtP39QXwtLWTe9Csk3dhG7kJTsIfWgaVkBhMwNRbiA2jNZhJPO42e114n0N+vdDhH1TCQgB25Zi9WJSUYsMbrRS+wKCQSsKnI74XO6qldgB8itiQKi6ruYAJ26AiYLMu0N7hIzTYpFdaYeZub6fj3v7Geew4JixaO+fX5lnwkpEErIePMeuIT9aotxIdgMX6gpwfn+vVKh3JUDV29pJgMJBjUNe09mQpTxabc0UgkYFNRZzUEfJA6RVtQHCpzLvQ0gKtd6UhiSnVPNUnGJJLikgaec/d46HN5SclRz84L7Q8+iCzL2H50zbheb9QayTZnD4wIhiRnmuhU6RQkgOm449BlZND9/AtKh3JUjV29U3b0KyRftKKISiIBm4oGWlCIBIysUCH+VmXjiDHDrYAMFeCnqiQB8zY20vnMf0laeQGG3Jyjv2AEhZbCQSNgECzE72x2I6u0BYqk1WI95xycH32Er61N6XCOqLGrl2zr1Kz/CilMTaChqxevP6B0KMIhRAI2FYkWFAeFVkKKQvxJVdVdNcwKyOCIT2qOOqYg2//9b5BlbN///oSuU2ApoLq7elCylZxpot/tw93jmWCUyrGefx74/XS//IrSoYxIluUp3YQ1pCDVhD8gD6wIFaKDSMCmora9YEqD+CSlI1FeQgpY80Qd2CRyeBy097UzzTp4BWRHo5MEi4F488jd46OF3+Gg+7/PYjnzTPRZWRO6VqG1ELfPTVvvwZGilCx1F+IDGIuKiJs/j+7nn4/akbyeXh8uj3/KtqAICa2ErBKF+FFFJGBTUdt+UYB/qMy5YiXkJAqt+Bs6BelSzehX13+fJeB2k/Ltb0/4WgMrIQ9pRZFy4H3oaHRO+PpKSjrvPPr37qU/SjdIru8KJrgiATvQikLUgUUVkYBNRe37xPTjoTLnBeviPOJvh5MhlGgcOgUZCMh0NLlUUYAvBwJ0PvEE8YuPIX7OxDcMHy4BS7AYiDPpaa9XdwJmOfNMJL2erhdeUDqUYTV2BZvdTtUeYCFpZiMJBq0oxI8yIgGbatwdwY24RQH+QVnzABladikdSUyo6q5CK2nJM+cNPNfT2ovfGyA1O/oTMPdnn+GtqyN59cWTcr0MUwZx2rhBvcAkSSI110Rbg7qTfm1SEubly+l55VVkr1fpcIaY6k1YQyRJIj8lgRoxBRlVRAI21bTvDz6KFhQHZR7YWkashJwU1T3V5Cbmotce3O/x4ArI6J+C7Hrmv2isVhJPO3VSrqeRNORb8geNgEFwNWhHoxM5EJ31U6NlPe9c/B0dOD/8UOlQhmjo6sWg02BTQd1huBWkJlAjuuFHFZGATTVte4OPYgTsIGsexCWJlZCTZH/XfkqSBk9xtzc4QTq4DU+08nV24nj7baznnIPGaJy06w7XiiI1x4zPE6C7Td0r08xLl6JNTY3KnmANXb3kJMWraueFcClMNVHb4Sag8oQ/logEbKpp2wcaPSQVKB1J9JCk4DSkKMSfsH5/P7U9tRQnFQ96vr3RhTUtHr0huveAdLzxBrLXS9LKCyb1ugWWAuod9Xj9B6fpbLnB6djQ6KBaSXo91rPPxvHee/g6O5UOZ5D6zl5yp3gLipD81AQ8vgDNPercBD4WiQRsqgltwq2duttyDCtzXrAGzO9TOhJVq+6uxi/7mZ40eIS1o9Gligas3a+8inF6CcYZMyb1utOs0/DLfuqd9QPPJWeZkCRUX4gPB3qCeb30vPqa0qEM0tDpFgnYAYWpwdFnUYgfPUQCNtW0lkP6TKWjiD6Z88Dff3CKVhiX/V3BGsNDR8B8Hj/ddjcpUb4HpLehgd7Nm7F846xJn7IqsARHnA8txNcbtFjTEwYa1KpZ3IwZGMvK6H7uOaVDGdDr8dPm9JCbnKB0KFEhPyX4PohC/OghErCpxNsLHVWQVqZ0JNFnYEsiMQ05Efu79qOTdIN6gAW33CHqV0B2vxYcvbF8Y8WkXzvUkmNoHZiJNpVPQYYkXbiSvl276N0eHU2NGw70ABMjYEHZSfHotZIoxI8iIgGbStr2ArIYARtO6nTQxYmO+BO0v2s/BZaCwSsgG9WxAtLxxpvEzZuHIS/v6CePkcVgISUuZdiVkD1tvfg86t+jz3ruuUgJCXQ++ZTSoQDB+i8QTVhDtBqJvGTRiiKaiARsKmndE3xMEwnYEFodZMyGJtGKYiL2d+6nJHnwCsiOBhdanQZrWvR+EXqbmujbuXPSWk8Mp9BSSFV31aDnUnPMIIOrQ/21h1qzGevZZ9Pz6qv4u7qUDmcgARNTkAflpyaIGrAoIhKwqcReDhodpBQf/dypKLQlUZTuaxft3F43Dc6GoS0oGp0kZyWg0Ubvx41j3ToAEk85JWz3KLQObUURWgnpbI2+JqbjkXzxauT+/qjojF/f2YteK5GeOHntRNSuMNVETbs7avfunGqi9xNRmHytu4NbEOlEU8JhZc6Dvm7oqlU6ElWq6q5CRh6SgHU0uqK+AN/57joMhYUYi4rCdo8CSwHtfe04PI6B5xJT4zAm6HDY1T8CBhA3cybxCxfS9eRTyAFlp1XrO93kJMWj0YgeYCH5KQk4+310uDxKhyIgErCpxV4OaZO7vD6mZM0PPopC/HHZ17UPYFAC1u/24uzsj+oCfL/DgWvjRsynLA/rfUILEw4dBZMkibT8RBz22BgBg+AomKemBvennyoaR7AHmJh+PFShLfh+VItpyKggErCpwuOGzmqxAvJI0meBpBV1YONU0VWBQWMgL/FgEXtHY7DgN5pHwFwffgheL4nLI5OAHV4HlpafiLPdi9+n/kJ8gMTTT0ebnEzHE08oGkd9Z68owD9Mfkrwz2FthyjEjwYiAZsq2vchVkAehSEhuEChcYvSkajSvq59FCUVodUc7HbffiABi+YmrI5316FNSSF+wYKw3icvMQ+tpB1SB5aWn4jsP5isqp3GaCTpootwvrsOT60y0/l9Xj9tzn7RguIweSnxSBJUt4kRsGggErCpwr47+ChGwI4seyE0fikK8cdhb8feoR3wG5zo47SYk6OzEFr2enF+8AHmr30NSRvebZL0Wj055pwhrSjSCxIBsNf0hPX+kZR8ySWg09Hx6GOK3L+h68AKyBSRgB3KqNOSbY2nVvQCiwoiAZsqWkMrIMNXZBwTsheAuw16GpSORFXaetto7W1lZsrgEdb2Rhep2aao3QzZvXEjAYeDxDDXf4UUWAoGdcMHsNji0Rkl7LWO4V+kQvqMdKwrVtD13HP4u7sjfn/RgmJkBakJVIteYFFBJGBThb1crIAcjeyFwcfGL5WNQ2X2dAR7zB2agMmyfGAFZBRPP65bjxQXh+mEEyJyv0JrIbWOWgLywXovSZJITNPTWhM7CRhAyne+jex20/XMMxG/d32n6II/koLUBGpFEX5UEAnYVNG8AzLmKB1F9MuYHSzEFwnYmJR3lAMwI+XgKlt3j4c+lzeqO+C7PvqIhGOXoImPzBd1oaWQXl8vdrd90POJGXraG50xU4gPEFdWRsJxx9Hx2OPI3siu8jzYAywuovdVg/wUE+0uD46+2Fl5q1YiAZsKejuhpx4yRQJ2VPr44GpIUYg/Jns69pBjzsFqtA48d3AFZHSOgHkbG/FUV0ds9AsOroQ8vA4sMV1PwCfHTCF+SMp3vo2vpYWeN96M6H1rO9xkJ8WjFT3AhihMDW3KLUbBlCYSsKmgZWfwUYyAjU72fFGIP0a7O3YzI3lwj7n2A5tMp0ZpCwrXhg0AmI6PXAJWYCkAGFIHlpge3DszlgrxAcwnnYShqIj2hx6KaGPWmnYXhanR+XuntPwDCZgoxFeeSMCmApGAjU32QujtgO46pSNRBbfXTU1PDTNTBxfgdzS6iE/UE58YnXWHrk82oLXZMJZOP/rJkyQ9IZ0EXcKQXmDxVi1Gk46W6thKwCSNBtvV36d/716cB7Z7CjdZlqlpcw+M9AiDFRxITEUhvvJEAjYVNG+HhFRIzFQ6EnUQhfhjsrdzLzIyM5OHroCM1ulHORDAtWEDpuOPj+gKTUmSKLIWUdFdMeT5zGlWmitjKwEDsKxYgb4gn9a//jUiexB2uDw4+n3kixGwYZmNOmxmgyjEjwIiAZsKWg4U4EdpK4Cokz472LJD1IGNyu6OYI+5stSDPebkgExHkytqC/D79+7F39ER0fqvkOKkYiq6KoY8nzHNQmeTi353bBVHSzodtu9fTf+ucpzvvRf2+9UcmFoTI2AjK0g1iRGwKCASsFgX8AdbUIjpx9HTxx0oxBcjYKOxu2M3VqOVjISMged62vvw9fujdg9I1ycH6r9OOD7i9y5OKqatt43u/sH9sTKLggsYYm0aEsB69lnoc3Np++sDYR8FqzmQWBSIEbARFaSIVhTRQCRgsa69Anx9YgXkWGUvgKYtohB/FMo7ypmZMnPQVF5HY7AAP1r3gHR98gmG4mL0GRlHP3mSFScVAwwZBcsotIBETE5DSno9qd//Hn3btwf33gyj6jY3khTcdkcYXkGqiaaePvq8fqVDmdJEAhbrWrYHH8UI2NhkLwy27+iqOfq5U5jH72Ff5z7KUgZvcRXaAzIlK/oSsIDHg3vTJkzHR370C6AkqQSA/V37Bz1viNeRkmWipSryneMjIencc9Hn5GC/749hXRFZ0+4i2xqPURferaXUrCA1AVk+2LBWUIZIwGJdy85gPVPajKOfKxyUtSD4KKYhj2hv5168AS9zbXMHPd/R6CIxJQ5DvE6hyEbW+8WXyH19itR/AWSZskjQJQxbB5ZZZKWlqgc5EHsjr5LBQNpPf0p/eTndL74UtvtUt7spEPVfRxR6f8Sm3MoSCVisa94OtlLQRedmyFErYzZoDdCwWelIotqOth0AzLENHmHtaHSSEqUF+K4NG0CrJeHYJYrcX5KkIxbi97t9dNlj84vR8o0VxM2bR+sf/0igtzcs96jtcIv6r6MIvT81oheYokQCFstkObiSLzSaI4yezghZ86F+k9KRRLXtbdtJiUshy5Q18JzfH6Cz2R3FBfifED9/PlqzcvEN14oCDhbiN1fG5jSkJElk/Px6fC0tdDzyyKRfv7vXS4fLI1ZAHkVygp5Eo25gwYKgDJGAxTJHE7jswYJyYexylwSnIP2x1RZgMu1o28Fc29xBBfhdzW4CfjkqC/D93d307dihWP1XSElSybArIZMzEjAm6GiqiM0EDCBh8WISTzuV9gcfwtfWNqnXDq3sEyNgRyZJEgW2BLEdkcJEAhbLQn2sxAjY+OQuDq4gDe0kIAzi9Dip6q4aMv3YVh9cAWnLi74RMNenn4EsYzpRmfqvkNBKyMML8SWNRFZJEk37YzcBA0j72c8IeDzY77l3Uq9bPdCCQoyAHU1BiklsR6QwkYDFsqYtIGkgc+5RTxWGkXugRqh+o7JxRKld7buQkYcU4LfVOdDqNCRnRN+XoGvDJ2hMJuLnKvtnIrQScrg6sOySJLpa3Li6+yMdVsQYp00j9Yor6H7hhWBSPElqRAI2agWpCdR1uPH5I7dHpzCYSMBiWeMWsM0Ag/gwGhdrHpgzRB3YCLa3BVuczE6dPej5tnonqTkmNNro+3hxfbKBhGOPRdLrFY0j05RJgi5hyAgYQPb0JICYHwWz/c//Q5+fT/Ovf02gf3KSzcpWF5mWOBIM0bf6NtoUpCbgC8g0dvUpHcqUFX2fkMLkkOVg/ZKo/xo/SQqOgokRsGHtaNtBXmIeSXFJA8/JshxMwHKjb/rRU1+Pt7ZWsfYTh5IkiZLkEvZ17htyzJZvRmfU0rivK/KBRZAmLo6s3/waT00N7X//+6Rcc5/dyfSM6Pvdi0aFB+rkqkQhvmJEAharQgX4ov5rYnIXQ0cFuDuUjiTqbG/bPqT+y9Xloc/pxZabqFBUI3N98gmgzPZDw5mZPJM9HXuGbM2j1WrIKrLEfAIGYDrhBCznnE3bQ/+gf9/QZHQsAgGZ/XYnJekiARuNorTg+1TZ6lQ4kqlLJGCxKlSAL0bAJmagDkxMQx6q2dVMi7uFebZ5g55vq3cAYIvCETDXhg3oMjIwFBUpHQoAM1Jm4PA6aHQ1DjmWPT2J9kYnfa7YX4GbccMNaM1mGn7xC2SPZ9zXaejqpdfrZ3p69CX/0chmNpBo1FHVJkbAlCISsFglCvAnR/ZCkLRQN3mFwrFgi30LAAvTFw56PrQCMtqmIOVAAPeGTzEdf/yglhlKmpkyEwhuZn647OlJIBPT7ShCdCkpZN12K/27ymn9v7+M+zr77cHfPTEFOTqSJFGUZqKyVSRgShEJWKxq/DLYAd8g+uFMiMEUbMhau0HpSKLKF/YviNfFMyNl8BZXbXVOLLY4jFG2BVFfeTn+ri7F208canrydDSShj0de4YcSy+0oNFJNO7tVCCyyEs89VSsKy+g/R//gF3l47rGPntw9LUkTSRgo1WUZhZTkAoSCVgskuXglFnuYqUjiQ35xwe3JPLFbluAsdpi38I82zx0msGJVnuDM7rrv447TuFIDorXxVNoKaS8Y2jCodNryZxmpWFvV+QDU0jGjb9En5MDf/oTfufYk4L9dic2s5FkkyEM0cWmIpuJxu4+3B6f0qFMSSIBi0UdldDbcbB+SZiYguODDVlDdXVTnMvrYk/nHhZmDJ5+9Pb76bK7o7IBq3vDBoylpejS0pQOZZAZKTOGHQEDyJ2ZTGudgz5n7NeBAWjNJrJ//3toa6P5N7cMWZxwNPvsTqaLAvwxCRXiizowZYgELBaF2iaIBGxy5B9YNVf7ibJxRImtrVsJyAEWpg1T/yVHXwF+oK8P96bNim8/NJyZKTNpcjXh9A0d8ckrSwEZ6vdMjWlIgIRFC2HVRfS88grdL7w46tfJssz+FtGCYqym2Q60ohAJmCJEAhaL6jeCIRHSZiodSWww2SB1OtR+qnQkUWGLfQsaScO8tMErIO01PQCkF1iUCGtEvV98gezxRFX9V0ioEL/aXT3kWHpBIvo4LfW7p1gLlJUrSViyhObbbqO/qmpUL2np6cfR7xMjYGMUSsBEIb4yRAIWi+o3Qs4i0GiVjiR2FBwfTMACYtuOL+xfUJpcitkw+MvOXtNDgtWAKcmoUGTDc33yCej1JCyOvprIGcnBRQzDJWAarYac0mTqd0+dETAAtFqy774LjV5Pw7XXEhhFa4pQAX6xSMDGJN6gJScpXhTiK0QkYLHG44bmHWL6cbLlHw99XdA6vhVascIX8LGtdduQ9hMArTWOqBv9ggPbDy1YgCYh+rbkSo1PJT0+nWpX9bDHc2ck093aS097b2QDU5g+M5OsO++gf1c59nvuOer5+1oOtKAQPcDGrCjNRKWYglSESMBiTdMWkP0iAZtsoTqwmqldB7a7Yze9vl4WpS8a9Lyn10dni5v0guj6AvR1dtJXXh413e+HMzN1JpXuymGP5c5MBph6o2BA4vLlJF92GZ2PPoZj/fojnrurqQeb2YDNLFZAjtU0W7AX2FgXPQgTJxKwWDNQgB990y2qllwIllyo/lDpSBT1WVOwIe3izMG/X621DpCD/auiifvTT0GWo2L/x5HMtc2lobcBp2foNFBKtol4i2FKJmAA6ddfh3HmTJpu/CXelpYRz9vR0M2cHGvUNNlVkyKbCWe/j1aHaLMTaSIBizV1n0PytGDhuDB5JAmmnQRVH07pOrCNzRspSSrBFj/498teE6zBSc+PrhEw1yefoElMJG72bKVDGdE82zxkZHa07xhyTJIkcmckU7+nc0qOUGiMRnL+cC+B/n4ar/85st8/5Jw+r599didzsq0KRKh+JQembUM7CQiRIxKwWCLLwRGwvGOVjiQ2TTsp2F/NvlPpSBTh9Xv5wv4Fx2YO/f2y1/aQmBJHfGL0TAHJsozr408wHfcVJF10deY/1Jy04Ibm21q3DXs8d2YyvT0eOhqnZp2OsaiIzP/9Je7PP6fzP/8Zcry8qQd/QGZOjkjAxiPUumOfSMAiTiRgsaS7Hpwtov4rXKadFHys+kDZOBSyvW07vb7e4ROw6h7SC6Nr9MtbW4u3sZGEKOz/dSiLwUJOXA7bW7cPezyvLAWYmnVgIdaVKzF99STsf7gPT03NoGM7GoPtT+bkRNf0t1qkJxqxxOnY2+JQOpQpRyRgsUTUf4WXNQdSS6DyfaUjUcTnzZ8jIQ2p/+pzeelp64u6FZAD2w9FeQIGMN08nW1t24adZkxMicOaFk/dVOsHdghJksi69VYkvZ6m/70J+ZAygB313SQn6MlJilcwQvWSJInSjEQxAqYAkYDFkvpNoIuDjDlKRxK7pp0ENR+Df2psD3Ooz5s/Z2bKTKzGwVM99urgCERalK2AdH70MfqcHAyFhUqHclQl5hI6+jqod9YPezyvLIWGvV34fVO3/lCfkUHGDb/AvWkTnU88OfD8dlGAP2HTM8zsa3FMyTpDJYUlAQsEAtx8882sWrWKNWvWUHPYkPG6detYuXIlq1at4umnnx50bOvWraxZsyYcYcW+us8geyFo9UpHErumnQQe55TbF7LP18dW+9Zhpx+bKruRJMiIohWQsteL+9NPMS1dqoov5lJTKcDI05CzUvD1+2mu6I5kWFHHesEFmJYuxX7vvXibmuj3+dnb4hD1XxM0PT2RTreXNufRm94KkycsCdg777yDx+Nh7dq1XHvttfzud78bOOb1ernzzjt5+OGHeeyxx1i7di2tra0APPTQQ9x0003094vlsGPmcQd7gOVH/3SLqhUuCz5WvqdoGJG2pXULnoCHY7OGJmDNFd2k5poxxEVPoXvvli0EXC5MS09UOpRRyUvII14Xz7a2EQrxZyQjaSRqy6fuNCQEp8syf/MbCASw3303e5od+AIyc0UCNiEHC/FFHVgkhSUB27x5M8uWBb+oFixYwI4dB5dXV1RUkJ+fj9VqxWAwcMwxx7Bp0yYA8vPz+fOf/xyOkGJfw2YI+EQCFm4mG2QtgIp3lY4koj5u+Bi9Rs/ijMH1X4GATEtVD5lF0fUF6PzoY9DpMB13nNKhjIpW0jIrddaIKyEN8ToyiyzU7ZraCRiAITeH1Kuuoue119n80VYA0YJigkozguUDoR0FhMgIy19ZnU4nZvPBPbm0Wi0+nw+dTofT6SQx8WCtiMlkwukM/k8//fTTqa8fvgYipLw8ureC6evrUyRG286XsCGxtzeJQJS8R0q9F+GWlryA1PLH2Lv1cwKG0dc9qfn9eLfyXWaaZ1Kzf3A5gaPVi7ffTyDONaafLezvxTvvQGkpe4/yeRIt+vr6yNPk8bL9Zb7c8SVx2rgh58Sl+ana4GTr5h0YEmJ3n9dR/W4sWwpPP82H6zaRnD0LZ0s15fbon2oej0h8bsiyjNmg4fM9dRybHL3bXqn5M3Q4YUnAzGYzLtfBnjWBQADdgT48hx9zuVyDErKjKSsrm7xAw6C8vFyZGDfth4zZzJgfPT3AFHsvwi1hNez6NzP0TVA2+vdbre9Hi6uFus/ruGjWRUPi32GvB9o4ZlkZFtvoV6GF873wtbezr6KCtJ/8GJtK3u/y8nLOnH0mLzS9gDvZzcKcoXttpsT1ULVhE/EBG6VlmQpEGRmj/d3o+dVN7HjFzmJDH7NmzYpAZMqI1OfGjKwuWj1SVH9GqfEzdPPmzSMeC8sU5KJFi/jgg2CvpC1btlBaWjpwrLi4mJqaGrq6uvB4PGzatImFC4d+2Ahj4PcFO+Dnq2O6RfVyl4DRCvvfUTqSiPikMdjO4cScofVUTZXdJFgNJKYOHbFRykD7iROXKhzJ2CxIX4BO0rGxeeOwx9MKEjGadNTtFNOQAN2Ll2JPSGb6pnfxd0/txQmToVSshIy4sIyAnXbaaXz88cesXr0aWZa54447ePnll3G73axatYobbriBK6+8ElmWWblyJRkZGeEIY+qw7wyuzBP1X5Gh1UHRV2H/u8HdB1Swym4iPmr4iPSEdEqSSoYca67oJqsouloAuD76CG1yMnGz1TUqkqBPYI5tzogJmEYjkTczhdryDmRZjqr3XAmbaoKJ6Oz6XbT/82HSf/ZThSNSt5L0RDrddbQ5PaQlGpUOZ0oISwKm0Wi49dZbBz1XXFw88O/Lly9n+fLlw742Nzd3SGsK4ShqPw0+ihGwyCk5FcpfAns5ZKjri34sfAEfG5o2cGr+qUO+8F3d/fS09TH3a7kKRTeUHAjg/PgTTCecgKRRX5vDJZlLeHjHw7i8Lkx605DjebNS2L/ZTkeji9Qc8zBXmDo+r+rAEqdj7rJFdDz2GClrLkOXlqZ0WKpVlhUsBdrd3ENaongfI0F9n1DCUDWfgDUPrNHzRRjzSk4JPsb4NOSOth04PI5hpx9DPamiaQVk/549+NvaMC1V1/RjyJLMJfhlP5tbhq8bCW1LVCtWQ/JZVQdLClPIvOZHyF4vbQ/8TemQVG1WVrCP364DWzsJ4ScSMLWT5eAImJh+jCxrLqSVxXwC9l7de+gkHcdlDR1dbdjTic6ojaoO+M733gNJwrxMnQnYgvQF6DQ6NjVvGvZ4YkocyZkJ1E3xfmCtjn4qW10cOy0FQ0EBSStX0vnMM3hUsuo1GiUlGMi2xrGrSSRgkSISMLXrrAZns5h+VELJKVC7Afpjt3fOurp1HJN5zJDthwDq93aRXWxFq42ejxHH+veImzcXnc2mdCjjEq+LZ55tHp83fz7iOfmzUmnc14XP449gZNHl86pgAnrstOCIoO1//h+SRkOb6CM5IbOyLZSLBCxioueTUxifgfovMQIWcSWngt8D1R8pHUlYVHdXU9VdxfK8ofWa7h4PnU0ucmYkKxDZ8Lx2O33btpF48slKhzIhx2YdS3lHOd39w6/sy5uVgt8boHF/V2QDiyLv7bFjidMNbEGkz8gg+dJL6X75FTyHbX0njF5ZloWKVhd93qmb3EeSSMDUrvYTiLNC2kylI5l6Ck4AvQn2val0JGGxvm49ACfnDU1oGvZ2ApBTGj0JmPP99wEwqzwBW5qzlIAc4OOGj4c9nl2ahEYnTdmu+IGAzPo9rZxUmob+kNHX1Mu/g6TT0fbQQwpGp26zsiz4AzJ7W8SWRJEgEjC1q/0U8o4DFa74Uj2dEYpPhr1vBmvxYsz6uvWUpZSRZc4acqxhTyf6OC1p+dGzEs+5/j302dkYD+k7qEZzUueQbEzmw4YPhz2uN2jJLkmasoX42xu6aXP2c0pZ+qDndWlpJH3zm3S/8CLexkaFolO3WdmiED+SxLe2mrnaoG0vFIjpR8XMOBN6GqB5+D381Kqtt40t9i3Djn4BNOztInt6Epooqf8K9PXh+uQTzCefrPr+WFqNlhNzTuTjho/xB4afCsorS6Gj0YWrqz/C0Slv3W47kgRfLU0fciz1yitAkmj/xz8ViEz98pITMBm0og4sQqLj01MYn7rPgo+i/ks5008HJNjzutKRTKoP6j9ARmZ5/tD6L1dXP10t7qiafnRt2IDc16f66ceQZTnL6OzvZEf7jmGP58+euu0o1u22syg/mRSTYcgxfXY21nPPoeu//8XX2qpAdOqm0UiUZVnESsgIEQmYmtVuAK0RssVWTooxpwW3JoqxBGx97XqyTdmUJg+dzqvfE6z/yo2iAnzn+vfQJCSQcOwSpUOZFCfmnIhG0vBh/fDTkKnZZuIthinXjsLe08f2hm6Wzxw6+hVi++53kX0+2v/178gFFkPKsiyUNzkIBGKvrCLaiARMzWo2QM6iYC2SoJwZZ0DTFuiJjboTt9fNhqYNnJw//HRew95OjAk6UnOjo/5LDgRwvvcepmXL0BiGjoqokdVoZX7afD6o/2DY45JGIr8shbryDuQp9EX5dnkLwBETMENBAZYVK+h66imxR+Q4zM624Oz3Ud3uUjqUmCcSMLXyuINf+qL/l/JKzww+7n1D2TgmyYbGDfT7+4dtPwHBAvzs6UloNNFRa9W3Ywc+ux3zyV9TOpRJdVLuSZR3lGN324c9njcrhT6nl9a6qbNi7aUtjRSlmZiZeeTmv6lXXUnA7abzyaciFFnsmJ+XBMC2epG8hptIwNSqYTMEfJB/gtKRCOllkFQAe2IjAXu79m2sRisLM4ZObTs6+uhp64uq+q+eN94EvV71/b8OF0qA3619d9jjoW2Jpso0ZHN3H59Xd3DO/OyjLrSImzkT07JldDz2GIG+vghFGBump5uJ12vZUteldCgxTyRgalX7KSBBXmzUvKiaJAVXQ1a9Dx51D9v3+fpYX7ueU/NPRa/RDznecKD+K1oasMqyjOONNzCdcDxaa/TsSTkZipKKKLIW8XbN28MeT7AYsOWZqd05NRKwV7Y1IstwzvzsUZ2fetVV+Nvb6X7hhfAGFmN0Wg1zc6xsre9SOpSYJxIwtar9BNJnQXx0fBFOeaVngK8PKt9TOpIJ+bjhY9w+N18v/Pqwx+vKO4hP1JOabYpwZMPr274db2MjljPOVDqUsDit4DQ2t2ymvbd92ON5ZSk0V3bj6fNFOLLIe2lrI3NzrBSlja72MOHYJcTNnUv7w/9C9ovO7mMxP8/KzsYePL6A0qHENJGAqZHfB3Wfi/qvaFJwIhgtql8N+Wb1myQbkzk289ghx+SATF15B3llKUhRUv/V8/obwenHU4avV1O70wpOIyAHWFe3btjj+bNSCPhlGvZ2RTawCKtqc7GtvnvUo18AkiSRetVVeGtrcbz1Vhijiz3z85Lw+ALsaZ469YVKEAmYGtl3gscp+n9FE50huDn33jchoM6/Nfb6enmv/j1OLTgVnUY35HhbvZNeh5e8WSkKRDeULMv0vPEG5hNPRGuxKB1OWJQml5KfmM87Ne8MezyrOAmdQRPz2xI9s6kOjQRnjyEBA0g89RQMBQW0/+OfyDG4W0W4zM9NAhDTkGEmEjA1Cm3ALTrgR5fSM8Flh8YvlY5kXD6s/5BeXy+nF54+7PHaXcFpsFDxt9L6tm7F19RE4hnDxxsLJEnitILT+KzpM7r6uoYc1+o15JQmx3Qhvtcf4JnN9Zw8I51Ma9yYXitptaRceQV9O3fi/vTTMEUYe3KT40k1GdgqCvHDSiRgalS7Aax5YM1VOhLhUNNPA0kLe15TOpJxeaP6DVLiUlicsXjY43XlHaTmmDFZo6PvXM/rbyDp9SQuj83px5CvF34dv+znndrhR8HyylLoanHT09Yb4cgiY91uO62OflYfmz+u11vPPRdtmo32h/4xyZHFLkmSmJcrCvHDTSRgaiPLwQasov4r+iSkBP+/qLAfmNvr5sP6Dzmt4DS0Gu2Q454+H037u8mPlunHQICet97CtHRpzE4/hpSllDHNOo1XKl8Z9nhoSjhWR8Ge+ryWDIuRk2ekjev1GqORlG99C9cnn9C7c+ckRxe75uclsc/upKfPq3QoMUskYGrTWQ3OZpGARavSM6BlB3TVKh3JmHxQ/wF9/r4Rpx8b93UR8MtRU//l3rQJX1MTljPPUDqUsJMkibOKzmJzy2YanUN3W0jOTMCcbIzJfSEbunp5f28r3zwmD90ENn5PXrUKjclExz/FJt2jtaQwBVmGzTWdSocSs0QCpjah+i/RgDU6zVgRfFRZU9bXq17HFm9jUfqiYY/X7upAp9eQVRIdvba6n38BjclE4qmnKh1KRKyYFvy9eq1q6PS2JEnkzUqhfncnAb86F4CM5PFPawBYtSRvQtfRWiwkrV5Fzxtv4qmrm4zQYt7C/CR0GomNVbGX2EcLkYCpTe0GiLNC2kylIxGGYyuB1Omwe/jpomjU3d/NBw0fcOa0M4edfgSo29VBdmkyOv3wxyMp4HLR8+abJJ55BpqEBKXDiYjcxFwWpi/k5YqXh13Nlz8rFU+vD3tN7LQN6PX4eeKzWr4+K5O8lIn/f0751reRtFo6/vWvSYgu9iUYdMzJsfK5SMDCRiRgalPzCeQdBxrxvy5qlZ0F1R+BWx0fXG9Wv4kv4OOsorOGPd7T3ktXiztq6r963nob2e0m6YILlA4los4qOovK7krKO8qHHMudmQwS1O4cvmGrGj3/ZQPdvV6uWDptUq6nz0jHcu45dD37HL722HmfwunYaSlsq++mzysa2YaD+BZXE0cztO+DwqVKRyIcycyzQfYHe4KpwKuVr1JkLaIspWzY46EeU9FS/9X93HPoC/KJXzh0r8pYdnrh6Rg0Bl7c/+KQY3EmPekFlpgpxJdlmYc/rmJ2toUlhZO320fqFVciezx0PP74pF0zli0pTMHjD4h2FGEiEjA1qf4o+CgSsOiWvRASs1UxDVnvqOcL+xecVXTWiBsc1+xox5xsJDlT+ek+T10d7o0bSTr//KNuyBxrrEYrp+SfwsuVL9PnG7rBdP6sFFqqeuhzqX/V2of72thvd3LFidMm9f+zsWgaiaeeQucTTxJwqXvf1kgIJb8bq2MjsY82IgFTk+qPgtvdZM5TOhLhSDQamPkN2P8ueNxKR3NEoaLuFUUrhj3u8/qp291J4VxbVCQ83S+8CJKE9dxzlQ5FEReUXoDD4+Dd2neHHMubFVy1FtowXc3+9XEVNrORs+ZnTfq1U6+6ikB3N53PPDPp1441SQkGZmQk8pmoAwsLkYCpSfVHwe2HtEO3iRGiTNlZ4OuFiqFflNFClmVeqXyFRemLyDHnDHtO494ufP1+CuamRji6oeRAgO4XXsB0/PHosyb/i1kNjs08lhxzDs/ve37IsYxpFgxxWmpVPg1Z1+1h/Z5WLjsuH6Nu8hd9xM+fT8LixXT8+xFkr/pHC8Pt2GkpfFHTiTfGVthGA5GAqYWjRdR/qUnBiRCXBOXROw25q2MXVd1VnFU8fPE9QPX2dnR6DbkzJq8OZ7ycH3yAt6GBpAtXKh2KYjSShvNLzuez5s+o6xncTkGr1ZAzI5m6nR2q3vdw7fYu4vQa1hxXELZ7pH73KnzNzXS/+mrY7hErTixJxeXxs0XUgU06kYCpRY2o/1IVrR5mnAl7Xwd/dP4t+5WKV9Br9Hy94OvDHpdlmertbeSWpaAzKN9+ovM/T6BLSyPxtNOUDkVR55aci0bS8My+oVNo+bNScHT00dUS3VPfI6ltd7O+0smlXykg1Ry+La9MJ52EsbSUjn/+EzkgRnaO5PhiGxopWJcnTC6RgKlF9UdgSBT1X2oy8yzo6z64eCKKeANeXqt6jZNyT8JqHL65akejC0d7H4VRMP3oqa7G9eGHJK1ehaTXKx2OojJNmSzPW85z+54bUoxfMNcGQNU2dX5ZPvB+BRoJvndSUVjvI0kSqVddSf++/Tjffz+s91I7a7ye+XlJfLivVelQYo5IwNSi+iMoEPVfqlK8HPQJUP6S0pEM8UHdB3T0dXB+yfkjnlO9PfglXjDHFqmwRtTxxBOg15N80UVKhxIVLim7hO7+7iGd8RNT4rDlmalWYQLW1N3LfzfXcfp0CxmWuLDfz3Lmmeiys2j/h9ie6GiWTU9ja10X3e7oHM1XK5GAqYGjBdr2iulHtTEkQOnpsOsl8PuUjmaQ5/Y/R1p8GifmnDjiOTXb20nLT8ScHL6poNEIuFx0P/c8ltNPR5c2vg2ZY83ijMVMT57Of8r/M6Tea9o8G80V3fQ6PApFNz4PflCJLMM350RmuytJryf1O5fTu3kz7i++jMg91eqk6TYCMnxSob7EPpqJBEwNRP2Xes2+ANxtUP2h0pEMaHG18FHDR5xXch46zfAjqr1OD82V3VGx+rH75ZcJOJ0kX3qJ0qFEDUmSuHTmpezt3Mumlk2Djk2bn4YsBxdQqIXd0ceTn9dy/sIcMsyRm2JOunAlWquVdrFJ9xHNz0si0ajjw/0iAZtMIgFTg4H6r/lKRyKM1fTTwGCGnc8pHcmAFyteJCAHjjj9WLuzA1kOjqYoSQ4E6Hj8ceJmzSJ+wQJFY4k2K4pWYDVaeWTnI4Oet+WZMScbVTUNef+7+/D5ZX5wcklE76tJSCD50ktxvvsu/RUVEb23mui1Go4rTuWDva2qXmEbbUQCpgaV74v6L7XSxwdXQ5a/DAHlpyEDcoDn9z3Pkswl5FnyRjyvamsbCRYDaXmJEYxuKOf69Xj2V5DynW9HRSPYaBKvi+eysst4v/59dnfsHnhekiQK59mo3dWOTwV7+FW2Onny8zouPjafQpsp4vdPXnMZUkICbX/5a8TvrSbLZ6ZT39nL7ubY2fBdaSIBi3YdVdBRAcWnKB2JMF6zL4DeTkwtnysdCZuaN1HvrD/i6JfX46dmRxvTFqQhaZRLemRZpu3vD6LPzcWyYvhO/VPdJWWXYNabeWjbQ4OenzbPhs8ToHZn9DdlvfetvRh1Gn50SmRHv0J0ycmkfGsNPa+9Rt/u3Ud/wRR1alkGkgRv7WxROpSYIRKwaBfqpF4iEjDVKjkFjFasNcpvzv3c/udI1CdyWsHIvbRqtrfj8wQoOSY9gpEN5d6wgb5t20i96ioknRj9HY7FYOHimRfzds3bVHZVDjyfMzOZOLOefZui+8tyc00Hr25v4qql00hPDP/Kx5GkXnEFGouF1j/+SbEYol1aopFj8pN5c2ez0qHEDJGARbv96yApH1KV+duhMAl0RphzAYn170Ffj2JhdPV18U7NO6woWkGcbuQvu/2b7cQn6smenhS54IbR9vcH0aWnY71g5NE6AS6bdRlxujj+tvVvA89ptRpKFqVTvbUNT5/yU9/D8Qdkbn5xJ1nWOK7+WrGisWgtFlKvvBLne++JFZFHcPrsTHY19VDXoc5Gv9FGJGDRzOeBqveh5FQQ9S/qtuBSNP5+2PWCYiH8d99/6ff3s2rGqhHP8fb7qdneRvGidDQKTj+6v/wS92efkXLF5WgMBsXiUIOUuBQuK7uM16tfZ1vrtoHnpx+bgc8boGprdBbjP/l5LTsbe/jlijISDMqPcKasuQxtaiqt990nCs1H8PXZGQC8tSu6R1bVQiRg0azuM/A4Rf1XLMhdTH9iAWx5UpHb+wI+ntr9FF/J/ArTk6ePeF719jZ8XuWnH9v+9je0SUmi8eooXTX3KmzxNu7aeNdA8pBVZMWcbGTfxuj7smx39nPPW3s4riiFs+ZFx8bqmoQEbFdfjXvjRlwfRd/uFdGgINXEzMxEMQ05SUQCFs0q3gWNDqadpHQkwkRJEt3TvgG1n0B75Je7r6tdR4u7hUvKjtxLa/9mOwkWA1klSZEJbBjujRtxvf8BKVdcgSYhQbE41CRBn8A1C69ha+tW3qh+AwBJIzF9SQZ1uzrodUZXU9Zfv7QTd7+f286dE1WrW5NWXYQ+P5+W3/0e2Su6vg/nzDlZbKzuoLGrV+lQVE8kYNFs71uQ9xWIsygdiTAJugvOAEkDW56I+L3/U/4fcsw5fDX3qyOe0+vwUL2tjemLMxSbfpRlmZa770GXkUHKt9YoEoNanVN8DjNTZnLPxnvo7u8GoPTYTAIBmb2fRc8o2Fs7m3llWxM/Wl7C9Axl25wcTmMwkHHDL/BUVND5pDKj1dHugkU5yDI8/2WD0qGonkjAolXbfrDvDG7oLMQEX0I6TD8dNv8bfP0Ru++Oth18Yf+Ci2dejFajHfG83RuaCfhlZi3Njlhsh3O8+SZ927aRds01aOKUWxWnRlqNlt8c/xva+9q5a+NdANhyzWQWWdj+fj1yQPm6pm63l5te2EFZlkXxwvuRmE8+GdMJJ9D65//D1xH9bTwiLS8lgWOnpfDsF/WiVm6CRAIWrcpfDD6Wna1sHMLkOu7q4NZEO56N2C3/vvXvWI1WLiy9cMRzZFlm18eNZBZZScmOfDNMANnjwf6H+zBOn471vHMViUHtZttmc+XcK3mp4iXeq3sPgLlfy6Xb3ktdufLJxG9f3UW7y8PdF85Dr43Orx9Jksj45Y0E3G5a779f6XCi0spFOVS2uthS16V0KKoWnX8CBNj5AuQshqSRu5ULKjTtq5BWBp8+ABH42+Pujt28V/8el5Vdhkk/cmLVuK+LrhY3s5cpN/rVufZpvLW1pF9/HZJ25JE64ciunnc105On85tPfoPdbad4UTrxFgPb36tXNK63djbzzOZ6vn9SEXNyIrPh9ngZS0pIvuQSup5+ht4dO5UOJ+qsmJtFnF7Dc1+IaciJEAlYNOqohOZtMPs8pSMRJpskwVe+H/z/W/tp2G/34LYHMevNRy2+3/VRI4Z4HcUKrX702u20/vnPJBx/HKZlyxSJIVbotXruWnYXbp+ba9+7loDkZ/bSbKp3tNPdqkzhtL2njxue287sbAs/ObVUkRjGKu1HP0SXmkrTL3+J7ImuRQxKS4zTc+acLF74sgFHn1isMF4iAYtGu14KPpado2wcQnjMWwVxSfDxH8N6mz0de3i75m0uKbsEi2HkhRzOzn72b7Yz4yuZ6A3KjDy13H4Hcl8fmTffHFWr4tSqJLmEW0+4lS2tW7h7093MXpaDRiPxxVs1EY8lEJC57r/bcPX7+NPqBRh06vja0VosZN5yC/1799L2t78rHU7UufzEQhz9PtZurFM6FNVSx5+E/9/enYc3WaaLH/9mT9qkbZruFEtbKLTFAkVZlKUgKDMqekQRlHopKsNBBPGHoJXNQWVx4aAiB7x0zpFFUOiIjDM6R0BhRCotLVgpFBAoXYGSLmnS7L8/AkWZsqg0SZvnc13vBW3yvu+dp3fTO+/y3IHmx1yI7Q36BF9HIrQFZRDc8jSUfgGn9rbJLtxuN0v3LiVUFcojaY9c8bn7t5/C7YbeI3xzurtx2zYav/ySiClTUCUm+iSGjmhU4igeSXuEjw59xNaaXNIHd6Lk2yrqarw7i/n/fneCnaVnmHNnKl2j/Ouux6vRDR9GyOi7Obt6Nc0lJb4Ox69kxIfRLzGcv3x7AofT5etw2iVRgPmb6h+gaj/0Gu/rSIS21H8yBEfC9j+3yea3lW3j++rvmdp7KqGqy19vY26wUbyzgq59owiJ0LRJLFfiNJmo/vNCVCkpGB6f6PX9d3TP9n2WrPgsFn+/GHOfk8jkEr7f+tPVV7xODlc3sugfhxjeI4oJA9rnB8qYnBxkYWFU5rwoTkVe4snBSVTUWfhHsZiY9bcQBZi/2bcGZCrIEDOAd2gqLQx6Fo7vhJ++ua6btjqtvJ7/Ol3Dul7xzkeA/M+P47S76HeXb448nV76Go7Tp4l9eSEShcInMXRkMqmMJUOWkBaexty9OYQMsXAk/zRnyhrbfN/NdifTNxSiU8lZMiaj3Z5aloWFEfvnl7CWlFCzeLGvw/Ert/WIIikimHe/PobTD6Y5aW9EAeZPrI2wf4Nn6omgcF9HI7S1myZCSDx88byn7+d1sqJwBRWmCmb3m41cevkee2fLGyneVUn6oDjCor0/43zDF19S9/HHGB6fiCYjw+v7DxRBiiDevu1tDBoDKx2LsOiNfL3uEK42Pm00b0sxh6obeX1sLyJ1qjbdV1vTDR9O+OMTMa7/iLq/furrcPyGVCph+ohulFQ1sHmfb++ybY9EAeZPCteBtR4GTPF1JII3KNRw15tw+iDseuO6bHJP1R7+8uNfeCDlAQbEDrjs81xOFzvWHkYdLKf/PUnXZd+/SlUVVXPnos7IIHL6dO/vP8BEaCJYOWIlAH+/cSU/VZ1i3z/L2mx/n+Sf4uP8cqYO68qw7r7tK3q9RM2YQVD//lQvWEDzwYO+DsdvjO4VR58bwnjty8M0WR2+DqddEQWYv3BY4bsVntZD8X19HY3gLSl3wI1jYdfrUF38uzZV11zHi7tepEtIF2beNPOKz8377DinTzQw+MEU1MHePfXnNJng1UVIpFI6vfmGOPXoJYmhiawcuRIzJv7ZZzU7v/iBs+Wm676fQ9UNzN1SzMAkAzNGto8pJ66FRC6n05tvINPrKZ/6NI4zZ3wdkl+QSCTMvSuNM41WVuw46utw2hVRgPmLfR9CfRkMneXrSARvG7XYMy3FJ4+CxfibNtHsaGb6jukYrUaWDllKkOLypxQPfVfFvi9PkjYojm43Rf+2mH8jt81GxYxnobKSTsv/C2V8vFf3H+jSDem8Pfxt6uVn+XvqKj5dnYel8fqd/jY22Zi8pgCdWsHy8b2R+ainaFuRGwzEv/02jro6yp6chLOhwdch+YXMG/SMyYznv785Rt5Ptb4Op90QBZg/sBjhmyVwwy2QfJuvoxG8LdgAD64B4wnYmP2rrwdzuBw8981zFJ4u5NXBr5JqSL3sc0t2V7J9zSHie+gZMs67RyfcTieVL+TQtGsXTP4TwQMuf4pUaDs3x9zMG1lvcDaonE2RK9iysgCH3fm7t2tzuPjT2gIq65v57wmZROk6Zi9PzY09iX/rLazHjlH2xJM46+t9HZJfeOmedBIMwUzbUEityXu9btszUYD5g68WgLkW/rDYM1O6EHgSboF73oETuyD3CbA3X9NqFoeF5755jq/Lvyanfw6juoxq9XlWi4Nv1h9m+4ee4usPk29E5sUJMd12O5XPPUfD558T+f+ehZEjvbZv4d8N7TyUVwa9QmXIUdYq3uLvq4tw2H57EeZ0uZm1aT/fHz/Ha/dn0DehY99EpB10K/HLl2MtKeHko49hrznt65B8TquS885DfTCa7fxpTQEmcT3YVYkCzNdKtkLB/3guvI/t5etoBF/qNQ5ufwUOboEP74GmKx/Kr2mq4dEvHmVb2TZm3TyLcT3G/dtz7DYnB3aUs3budxTvrKD3iM7cOSUDpfryd0deb866OsomTaLh7/8gatYsIp580mv7Fi7vzqQ7yemfw8nwYt63LiP3rXys5l/fVsblcpOT+wOfFlXy3B3duad3pzaI1v/ohg8j/t13sZ08yYkHH8Tyo+gZmR4Xyptje1F4qo5H3s+jQbQpuiJRgPlSeQH8dTLE9YHb5vs6GsEf3DIV7v8LVBbCuwPgh03/1rTb7Xaz5egW7vvsPk7Un+Ct4W+RnZbd8rjL5abyaB07N5Tyv89/y66NpRjignnghZu49f5uXj3yZS4s5Pj9D2DJLyB20SIMEx/z2r6FqxvXYxyzbp7FT4b9fChfxoalezh98tqva7I7XTyfe4CN+aeYdls3nhrWtQ2j9T/awYPosnYNACfHjefcmrW4XYE9K/xdGXGseKgPP1TUc88737Kv7Ldd1xoIvPcxWPilo9s8F10HR8C4j0Cu9HVEgr/oeR8YusLW6bD5cdizEgb8J6SOZr+xhLf2vcX31d/TJ6oPL93yEomhidhtTk4dPMfx/Wc48UMtzSY7UrmE5D5RpA+OI65bmFcnwnTW13PmnRUY161DERtLwpoP0fTu7bX9C9cuOy0blUzFwj0L+Uj1BmffmMjgkT3pc3sCCtXle4PWW+xMWVfAt0drmX5bN54Z0c2LUfsPdVoaiX/NpXL2bGpeeYX6rVuJmT8PTXq6r0PzmVE9Y/lwopKZn+zn/pW7ebh/ApOGJNE53PvzDfozUYB5m+k0fL0Y8t+HqDR46GMIifV1VIK/ic2AJ76CfR/i3v02ks2PY5EpqFHJydCFMz79QQZ0n0RZsZvP9x/gVMk5nHYXSo2chJ4GEntFkJBuQKnx7q+4vboa48aNGNeuw2UyEfbgWKJmzkSm1Xo1DuHXGdt9LCGqEOb8ay5bMpfR+PWjFO+qJPP2G0jpF0NQyC8/IH53rJbnNu2npqGZ1x/oxf19A/tuVrleT+dVq2j429+oWbKUEw+MJWzMfYQ/NhFVUmD2Nx2YbOCLZwaz5ItDbNhbxvrvyxiaEskd6dEMTIqgc7im3XZHuF5EAeYNptOeljPFuXDkn+B2eXoB3jYPlMG+jk7wQ82OZg6cOcAO12m+itGTrIjkLquboRYbt9dUQM2bsP1NujhDiZDEcnNiAqr4buiSuyMNl4A+BFRt/+bmtttp/vFHmvbsoenb3ZgLCsDtRjdiBBFPTUHdo0ebxyBcH6O6jKKzrjPTt0/n017LuLXpj5g2Z7E79xjxPfTEJocijVSzrrSK3OIquhiC2DBpIH0T9L4O3S9IJBJC774b7dChnHn7Heo2bqTuk01os7LQjx9H8MCBSJSBdaZDp1bw8r03MnVYN/5n9wn+dqCS7Yc8NyyEahTc2CmUBEMQsaFqokPU6NQKgpQyNEoZGoWMIKUMnVpBiEaOSn75o7HtlcTtdl/3Bk4ul4sFCxZw+PBhlEolL7/8MgkJFxuxbt++nRUrViCXyxkzZgxjx4696joABQUF9O3r35OUHvphHz1CbZ5reCoLoWIf1B7xPKiNhhsf8LSgMST7NlAvKCkpITX18lMidEQWh4XyxnJONZ6izlqHyWaiydGEy+2irraOuOg45FI5CqkCmVSGXOL5DGR2mGmwNlBuKud4/XFKzpXgcDlQSpX0CupLeuMAQg8mY21wECQ1khRbQ2LsaSKDT6O2VSAxnoD6cnBfvJPNLVWArhPu0M64tfEQ2gWXPgV3aFfcCi1uhwNcLtwOJzgduJ2uln/dTgc4nbidTnA6cTaacNbVtSyOmhpsx49jKy8Hp2efqrRUdFlZhP7Hf6Ds3PmK4xSIuXEl/jQe9dZ6lu5dymfHPiNWE8dw12hkh3qyu97CD0onLqCPVcYwt5pQnRK1VolGp0CjVaDRKgmJ1KCPCSIsOoigEOWvPsrhT2PxezhqazGu/wjj+vU4jUakOh3aYVloBw9G0ycTRae4axqbjjIe4Ll+taSqkaJTdfxQUUdxRQMVdRbONV196h21QkpkkIzkmDC6GIJJiw2hZ6dQukVrUcj893L2K9UtbXIE7KuvvsJms7Fx40aKiopYvHgxK1d62mDY7XYWLVrEpk2b0Gg0jB8/nmHDhlFYWHjZdfyS0+GZt+nsYThzfqk+QPczhzxHuAC0MZ4L7Hs/BIlDILY3yMRBx/bObDdzqvEUZY1lnGw46fl/QxlljWWcNl/ldvSrtEuLUEYSJYllqO12DBWRRB/TE2R1opFbiIo6SEQ8hOpcyGxmXCfd1JrUuBqicJo0uBrjkNrPIXPXo1BaUGidKIKrUWorUGgdyFVuLnyGtJlkWI0KrHUKmo0KrPVy7GYZuK/yB0EqRRYaijwiAlX37uj+MAp19+4E9e+PPLxjTz0QKEKUIUxOe5Fo90g27P+e1WfUuKwmpBoXfTpBdko8N7jCMdfbsJhsWEx2muqs1JabMDfacDkufqZXauToY4LOL8HoY4PRxwQRYlAj9eM/mteD3GAg8umpGP40iabdu2n85/9h2raNhs+2eh6PjkadmooyOQlVclcUcXHIo6JQREchDe6YZ0YkEglpcSGkxYUAN7R8v9nupKahGZPVgcXmxGxzYrE7MdscNDZ7FmOTjZJTpznTaGXv8XM0nZ82RSmXkhqjI71TKOlxIXSN1NI1SotB6//9R9ukGigoKGDw4MEA9O7dm+Liiy1Wjh07xg033EBoaCgAffv2JT8/n6Kiosuu41XFuZ5iymn1tAdqWZo9c3U1nfGcUjSfvVhoAehiIeZGzkYOJDJjpKfYEtd2tRvbyrZReq4Um8uGzelZ7C47dpcdk83EueZzGK1GzlnO0Whv/MW6BrWBhJAE+mlSia5PIs6pJc6hI9ShRNnkxlxmBrsTU1MjCpUCu8uG3WnDaTXjsFlw25rRNNkINttQ2+qRO6qRsO+ysdYDEpUKqU6HTKdDGqJDptWhiItDpj3/tU6HRKXGKZNhkctolsqQYkJmrUBuPYXUUkZwxEl0zdVI8PzBdCPFrQ7HrYoApRa3UgdKHW5FEFJVEJIgLRJ1MJLON0HXEW354xDaiN3p4uP8U9Q0WLE6nFjtLqwOFxabg7MmG2dNVirqLDQ2e+Zwkkt7khYnRxlymEo+pdR9mrmVEKoKJToomkh9JAaNgSB5EGq5Gq1Cy+joe3Gek1NXY8ZYbcZY3UTZj+c49F31xUAkoNEqCApRERSqRB2sQK6QIlNIqW9soL70GDK5FK1eRY8BsUja8Yz6UqUSXVYWuqws3M4/Yy0txbxvH5bCIqylpTR9+y1u+y+na5Bqtcj0ek8hJpFQFhmBNCgYaXAQUpUKpDIkMhnIZUik5/+VyZHIpEh1IYSNuQ+pRuOjV/zrqRUyEgxXLzpLSiSkpqbicrk5UdtEcWUDxRX1FFfU87f9lazPu9jfVKeWE6VTER2iRh+sJOj8KU2NUo5KLkUhkzAyLYbuMbq2fGlX1CYFmMlkQvuzi25lMhkOhwO5XI7JZEKnu/iCg4ODMZlMV1zn5woKCtoi5J9JgJCEqz/tCspMwJFKoPK6RNSetf3P6/oII4x+9PN8IeWXE7RogNBr3NDPam7b+eWCC/f/XKnzof380nZ6//5N1APX4efaXnLDW7w1Hj3k0KPVg5Xy80trfwhvOb9chQOqK84f5g0BbQhoU6AzGjy/SK1xnl88tMiBOgDMwL7Cqqvvt73p0cOzXCPzr91+B24W/vPfk05Ap2i4I1oBmRFXWMsNOM4vF2fpN1U0UFDRRoFegzYpwLRaLU1NTS1fu1yulkLq0seamprQ6XRXXOcCf7/+SxAEQRAE4Vq0yUn4zMxMdu7cCUBRUREpKRd7ziUnJ3Py5Enq6uqw2Wzk5+fTp0+fK64jCIIgCILQkbTpXZClpaW43W5effVVDh48iNls5sEHH2y5C9LtdjNmzBgefvjhVtdJTu74dwoKgiAIghB42qQACxROp5M5c+Zw/PhxZDIZixYtwu128/zzzyORSOjWrRvz589HKu3Yd/tA62PR2NjI5MmT6dKlCwDjx4/nj3/8o28D9aLa2lruu+8+PvjgA+RyeUDmxc/9fDyam5sDOjfuvffelmth4+PjmTx5csDmx6VjMWHChIDNjVWrVrF9+3bsdjvjx4+nX79+AZsX8O/jkZaW1qFyQ8yJ8Dvs2LEDgA0bNpCXl9dSgD3zzDP079+fefPmsW3bNkaOHOnjSNtea2MxfPhwHnvsMSZOnOjj6LzPbrczb9481Go1AIsWLQrIvLjg0vE4ePBgwOaG1eq5CHjNmjUt35s8eXJA5kdrY/HJJ58EZG7k5eVRWFjIRx99hMVi4YMPPgjo943WxgPoULkROKV0GxgxYgQLFy4EoLKykoiICH788Uf69fPcTTdkyBB2797tyxC9prWxKC4u5uuvv+bhhx8mJycHk8nk4yi9Z8mSJYwbN46oqCiAgM2LCy4dj0DOjUOHDmGxWJg4cSKPPPIIRUVFAZsfrY1FoObGv/71L1JSUnjqqaeYPHkyWVlZAZsX0Pp4dLTcEAXY7ySXy5k9ezYLFy7kjjvuwO12t8xuHBwcTGNj41W20HFcOhYZGRnMmjWLdevW0blzZ1asWOHrEL0iNzeX8PDwlnntgIDOi9bGI1BzA0CtVvP444/z/vvv89JLLzFz5syAzY/WxiI9PT0gc8NoNFJcXMzy5csDPi+g9fHoaO8bogC7DpYsWcKXX37J3LlzWw6pg2eKjZCQEB9G5n0/H4tBgwbRs2dPAEaOHMnBDjw3zc9t3ryZ3bt3k52dTUlJCbNnz+bcuXMtjwdaXrQ2HkOGDAnI3ABITExk9OjRSCQSEhMTCQsLo7a2tuXxQMqP1sZi8ODBAZkbYWFhDBo0CKVSSVJSEiqV6hcFVyDlBbQ+HllZWR0qN0QB9jt8+umnrFq1CgCNxtPZvWfPnuTl5QGwc+dObrrpJl+G6DWtjcXUqVM5cOAAAN999x3p6em+DNFr1q1bx9q1a1mzZg2pqaksWbKEIUOGBGReQOvjMWXKlIDMDYBNmzaxePFiAGpqajCZTNx6660BmR+tjcVTTz0VkLnRt29fdu3ahdvtpqamBovFwsCBAwMyL6D18Zg0aVKHyg1xF+TvYDabeeGFFzh79iwOh4Mnn3yS5ORk5s6di91uJykpiZdffhmZrON1cb9Ua2MRGxvLwoULUSgUREREsHDhwl90OwgE2dnZLFiwAKlUGpB5cakL49Hc3BywuWGz2XjhhReorKxEIpEwc+ZM9Hp9QOZHa2OhUqkCNjeWLl1KXl4ebrebGTNmEB8fH5B5ccGl4xEeHt6hckMUYIIgCIIgCF4mTkEKgiAIgiB4mSjABEEQBEEQvEwUYIIgCIIgCF4mCjBBEARBEAQvEwWYIAiCIAiCl4kCTBAEv5aXl8fAgQPJzs5uWaZNm3bN648dO5by8vI2jPDqdu7cyfPPP+/TGARB8C+iGbcgCH5vwIABLFu2zNdhCIIgXDeiABMEod3Kzs6mR48eHDlyBJPJxPLly+nUqRPLli1j165dxMTEYDQaW11Pr9fT0NDA6tWrWbBgASdPnsTlcvHMM8/Q2NjI7t27mTdvHqtWraKoqIiVK1eyZcsWqqqqGD58OIsXL8blctHQ0MCcOXPIzMxk2LBhJCUlkZSUxLhx48jJyUGj0aDRaAgNDfXBCAmC4K9EASYIgt/bs2cP2dnZLV8PHTqUJ554AvA09n7xxRdZtmwZn3/+OVlZWezdu5dNmzZhNpu5/fbbW93m3XffzciRI1m/fj16vZ5XX30Vo9HIhAkT2Lx5M8uXLwcgPz+/pcPDjh07ePrppzl8+DCzZ8+me/fubN26ldzcXDIzM6mqqiI3Nxe9Xs+0adOYNm0at956K6tXr+ann35q+4ESBKHdEAWYIAh+70qnINPS0gCIiYnh7NmzHD16lJ49eyKVStFqtaSkpLS6XmJiIgClpaUUFBS09JhzOBxYLBYSExM5cOAAcrmc3r17s3fvXqqqqkhOTsZoNPLuu++iVqtpampqaYei1+vR6/UAHDlyhIyMDAAyMzNFASYIwi+Ii/AFQehQLhROLpcLs9nM0aNHW32eRCIBICkpiTvvvJM1a9bw3nvvMWrUKEJDQxkxYgSvvfYa/fv3Z9CgQSxbtoyBAwcC8MorrzBt2jSWLFlCSkoKFzq6SaUX31KTkpIoLCwEoLi4uC1fsiAI7ZA4AiYIgt+79BQkwHvvvdfqc1NTUxk1ahT3338/UVFRGAyGK2573LhxzJkzhwkTJmAymXjooYeQSqUMGzaMnJwc5s+fT0xMDNOnT2fBggUAjB49milTpmAwGC57ndn8+fOZMWMG77//PuHh4ahUqt/24gVB6JBEM25BEARBEAQvE6cgBUEQBEEQvEwUYIIgCIIgCF4mCjBBEARBEAQvEwWYIAiCIAiCl4kCTBAEQRAEwctEASYIgiAIguBlogATBEEQBEHwMlGACYIgCIIgeNn/B8oZ8xv9Su1eAAAAAElFTkSuQmCC\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "# plot kde\n",
    "fig, ax = plt.subplots(figsize=(10, 6))\n",
    "sns.kdeplot(data=df_simulations, ax=ax)\n",
    "ax.set_title(\"Simulation PDF\")\n",
    "ax.set_xlabel(\"End reward\")\n",
    "plt.show()"
   ]
  }
 ],
 "nbformat": 4,
 "nbformat_minor": 2,
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  },
  "orig_nbformat": 4,
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.7.10 64-bit ('data_analysis_env': conda)"
  },
  "interpreter": {
   "hash": "76bcf5b5c4cd2c0e2c997db2e23d9ac41c8d97e1b675057fcd8a68a0da3fd33d"
  }
 }
}