cchandler/machine_learning.ipynb

## machine_learning.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 274,
   "id": "46b16387-da60-4c80-8dce-851b2c1af998",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy.stats import uniform, norm\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import itertools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 275,
   "id": "954ef3b1-c505-4c02-b727-a261f18baa36",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore', np.RankWarning)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 276,
   "id": "11af335a-00a8-4cc5-b3e1-3feee2a0f7cf",
   "metadata": {},
   "outputs": [],
   "source": [
    "coefficients = np.random.randn(6)\n",
    "scale_of_noise = 0.10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 277,
   "id": "0039d7e0-55d1-4533-ba9b-af2902f45eaa",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_test = uniform.rvs(size=40)\n",
    "noise_test = norm.rvs(scale=scale_of_noise, size=40)\n",
    "poly_test = np.polyval(coefficients, x_test)\n",
    "y_test = poly_test + noise_test\n",
    "\n",
    "x_train_super = []\n",
    "y_train_super = []\n",
    "for i in range(40):\n",
    "    x_train = uniform.rvs(size=100_000)\n",
    "    y_train = np.polyval(coefficients, x_train) + norm.rvs(scale=scale_of_noise, size=100_000)\n",
    "    x_train_super.append(x_train)\n",
    "    y_train_super.append(y_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 278,
   "id": "0d807ce0-61bb-495f-9e5e-ce2d7734143b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.6712046 , -0.49578894,  1.31344092, -0.66473271,  2.05082857,\n",
       "       -0.07091231])"
      ]
     },
     "execution_count": 278,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "coefficients"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 279,
   "id": "6568379e-c4d9-42e5-814b-705e88744eb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x177466c10>"
      ]
     },
     "execution_count": 279,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.scatter(x_test, y_test, label=\"Test set\")\n",
    "ax.scatter(x_test, poly_test, label=\"True polynomial\")\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 280,
   "id": "2aaeb149-428d-46d2-9b1b-20fcad3a0712",
   "metadata": {},
   "outputs": [],
   "source": [
    "polynomial_degrees = [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]\n",
    "steps = np.logspace(1, 5, 20)\n",
    "\n",
    "data = []\n",
    "\n",
    "for (d, step) in itertools.product(polynomial_degrees, steps):\n",
    "    int_step = int(step.round())\n",
    "    rmse_avgs = []\n",
    "    mse_avgs = []\n",
    "    \n",
    "    for (x_train, y_train) in zip(x_train_super, y_train_super):\n",
    "        fit_coefficients = np.polyfit(x_train[0:int_step], y_train[0:int_step], d)\n",
    "        fit_polynomial = np.poly1d(fit_coefficients)\n",
    "    \n",
    "        predicted_y_values = fit_polynomial(x_test)\n",
    "        error = y_test - predicted_y_values\n",
    "        rmse = np.sqrt(np.mean(error ** 2))\n",
    "        mse = np.mean(error ** 2)\n",
    "        \n",
    "        rmse_avgs.append(rmse)\n",
    "        mse_avgs.append(mse)\n",
    "    \n",
    "    data.append((d, int_step, np.mean(rmse_avgs), np.mean(mse_avgs)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 281,
   "id": "1a093850-9035-420c-81c6-1f00f1c7c24b",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(data, columns=['Degree', 'TrainingSize', 'RMSE', 'MSE'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "id": "38d3e766-cb21-4e65-8cbc-2da3cdcab6b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x284b3a0d0>"
      ]
     },
     "execution_count": 282,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "for d in df['Degree'].unique():\n",
    "    view = df[df['Degree'] == d]\n",
    "    ax.scatter(view['TrainingSize'], view['RMSE'], alpha=0.1, label=f\"Degree {d}\")\n",
    "ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2b6da993-d2e6-44ab-8680-28e8a6ade506",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 283,
   "id": "df0fa37f-96dd-4fbc-8319-81adb4f89ae0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "best_mse_per_training_set_size = []\n",
    "min_mse = []\n",
    "sizes = []\n",
    "for size in df['TrainingSize'].unique():\n",
    "    \n",
    "    view = df[df['TrainingSize'] == size]\n",
    "    m = view['MSE'].min()\n",
    "    \n",
    "    min_mse.append(m)\n",
    "    sizes.append(size)\n",
    "    best_mse_per_training_set_size.append(view[view['MSE'] == m]['Degree'].max())\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1)\n",
    "\n",
    "ax1.scatter(sizes, min_mse)\n",
    "ax1.set_xscale('log')\n",
    "\n",
    "ax2.scatter(sizes, best_mse_per_training_set_size)\n",
    "ax2.set_ylabel('Degree of polynomial')\n",
    "ax2.set_xlabel('Training set size')\n",
    "ax2.set_xscale('log')\n",
    "fig.tight_layout()\n",
    "# ax.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "id": "d320d13c-b759-41a5-b406-074cfcd33376",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TUxUcHFygh3SW6qCSc7nH19eXoAIAQClTkNs2uJkWAABYFkEFAABYFkEFAABYFkEFAABYFkEFAABYlqlBZcqUKbLZbE6vgIAAM0sCAAAWYvrw5EaNGumrr75yLLu7u5tYDQAAsBLTg0q5cuXoRQEAAHky/R6VX3/9VUFBQQoLC9Pdd9+t3377zeySAACARZjao9K6dWu9//77ql+/vk6ePKlp06apbdu2+umnn1S1atVc22dkZCgjI8OxnJqaWpLlAgBQZmRlG9qecEbJaeny9/FSqzA/ubuV/AOAbYZhGCV+1HycP39ederU0VNPPaVx48blWj9lyhRNnTo1V3tKSgpT6AMAUERi9yZp6up9SkpJd7QF2r00uV9D9YoIvO79p6amym63F+j72/RLP39VqVIlNW7cWL/++mue6ydNmqSUlBTH6+jRoyVcIQAAN7bYvUl6ZHG8U0iRpBMp6Xpkcbxi9yaVaD2WCioZGRnav3+/AgPzTmuenp6OBxDyIEIAAIpWVrahqav3Ka9LLTltU1fvU1Z2yV2MMTWoPPnkk9q8ebMSEhL0/fff66677lJqaqqioqLMLAsAgDJpe8KZXD0pf2VISkpJ1/aEMyVWk6k30/7++++655579Mcff+imm27Sbbfdpm3btqlWrVpmlgUAQJmUnJZ/SCnMdkXB1KCybNkyMw8PAAD+wt/Hq0i3KwqWukcFAACYp1WYnwLtXspvELJNl0f/tArzK7GaCCoAAECS5O5m0+R+DSUpV1jJWZ7cr2GJzqdCUAEAAA69IgI1Z3gLBdidL+8E2L00Z3iLIplHxRWmP+sHAABYS6+IQHVvGGCJmWkJKgAAIBd3N5va1Mn9OJuSxqUfAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWQQVAABgWZYJKjExMbLZbBozZozZpQAAAIuwRFCJi4vT/Pnz1aRJE7NLAQAAFmJ6UDl37pyGDRumBQsWqEqVKmaXAwAALMT0oPLoo4+qT58+6tatm9mlAAAAiyln5sGXLVum+Ph4xcXFFWj7jIwMZWRkOJZTU1OLqzQAAGABpvWoHD16VI8//rgWL14sLy+vAr0nJiZGdrvd8QoODi7mKgEAgJlshmEYZhx45cqVuvPOO+Xu7u5oy8rKks1mk5ubmzIyMpzWSXn3qAQHByslJUW+vr4lVjsAACi81NRU2e32An1/m3bpp2vXrtqzZ49T28iRI9WgQQNNmDAhV0iRJE9PT3l6epZUiQAAwGSmBRUfHx9FREQ4tVWqVElVq1bN1Q4AAMom00f9AAAA5MfUUT9X2rRpk9klAAAAC6FHBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWBZBBQAAWJbLQaV27do6ffp0rvazZ8+qdu3aRVIUAACAVIigcvjwYWVlZeVqz8jI0LFjx4qkKAAAAEkqV9ANV61a5fj32rVrZbfbHctZWVlav369QkNDi7Q4AABQthU4qAwYMECSZLPZFBUV5bTOw8NDoaGhevnll4u0OAAAULYVOKhkZ2dLksLCwhQXF6dq1aoVW1EAAACSC0ElR0JCQq62s2fPqnLlykVRDwAAgIPLN9POnDlTy5cvdywPGjRIfn5+qlGjhnbv3l2kxQEAgLLN5aAyb948BQcHS5LWrVunr776SrGxsYqMjNT48eOLvEAAAFB2uXzpJykpyRFUPv/8cw0ePFg9evRQaGioWrduXeQFAgCAssvlHpUqVaro6NGjkqTY2Fh169ZNkmQYRp7zqwAAABSWyz0qAwcO1NChQ1WvXj2dPn1akZGRkqRdu3apbt26RV4gAAAou1wOKq+++qpCQ0N19OhRzZo1S97e3pIuXxIaNWpUkRcIAADKLpthGIbZRRRWamqq7Ha7UlJS5Ovra3Y5AACgAFz5/i7U05M/+OADtW/fXkFBQTpy5Igkafbs2frss88KszsAAIA8uRxU5syZo3HjxikyMlJnz5513EBbuXJlzZ49u6jrAwAAZZjLQeWNN97QggUL9Mwzz8jd3d3R3rJlS+3Zs6dIiwMAAGWby0ElISFBzZs3z9Xu6emp8+fPu7SvOXPmqEmTJvL19ZWvr6/atGmjNWvWuFoSAAC4QbkcVMLCwrRr165c7WvWrFHDhg1d2lfNmjX1wgsvaMeOHdqxY4e6dOmi/v3766effnK1LAAAcANyeXjy+PHj9eijjyo9PV2GYWj79u1aunSpYmJi9Pbbb7u0r379+jktT58+XXPmzNG2bdvUqFEjV0sDAAA3GJeDysiRI3Xp0iU99dRTunDhgoYOHaoaNWrotdde0913313oQrKysvTxxx/r/PnzatOmTaH3AwAAbhzXNY/KH3/8oezsbPn7+xe6gD179qhNmzZKT0+Xt7e3PvzwQ/Xu3TvPbTMyMpSRkeFYTk1NVXBwMPOoAABQihTrPCpdunTR2bNnJUnVqlVzhJTU1FR16dLF5WLDw8O1a9cubdu2TY888oiioqK0b9++PLeNiYmR3W53vHIejggAAG5MLveouLm56cSJE7l6UZKTk1WjRg1lZmZeV0HdunVTnTp1NG/evFzr6FEBAKD0c6VHpcD3qPz444+Of+/bt08nTpxwLGdlZSk2NlY1atQoRLnODMNwCiN/5enpKU9Pz+s+BgAAKB0KHFSaNWsmm80mm82W5yWeChUq6I033nDp4E8//bQiIyMVHBystLQ0LVu2TJs2bVJsbKxL+wEAADemAgeVhIQEGYah2rVra/v27brpppsc68qXLy9/f3+nmWoL4uTJkxoxYoSSkpJkt9vVpEkTxcbGqnv37i7tBwAA3Jh4ejIAAChRxf70ZAAAgJJAUAEAAJZFUAEAAJZFUAEAAJblclCpXbu2Tp8+nav97Nmzql27dpEUBQAAIBUiqBw+fFhZWVm52jMyMnTs2LEiKQoAAEByYR6VVatWOf69du1a2e12x3JWVpbWr1+v0NDQIi0OAACUbQUOKgMGDJAk2Ww2RUVFOa3z8PBQaGioXn755SItDgAAlG0FDirZ2dmSpLCwMMXFxalatWrFVhQAAIDkQlDJkZCQkKvt7Nmzqly5clHUAwAA4ODyzbQzZ87U8uXLHcuDBg2Sn5+fatSood27dxdpcQAAoGxzOajMmzdPwcHBkqR169bpq6++UmxsrCIjIzV+/PgiLxAAAJRdLl/6SUpKcgSVzz//XIMHD1aPHj0UGhqq1q1bF3mBAACg7HK5R6VKlSo6evSoJCk2NlbdunWTJBmGkef8KgAAAIXlco/KwIEDNXToUNWrV0+nT59WZGSkJGnXrl2qW7dukRcIAADKLpeDyquvvqrQ0FAdPXpUs2bNkre3t6TLl4RGjRpV5AUCAICyy2YYhmF2EYWVmpoqu92ulJQU+fr6ml0OAAAoAFe+v13uUZGkX375RZs2bVJycrJjIrgc//jHPwqzSwAAgFxcDioLFizQI488omrVqikgIEA2m82xzmazEVQAAECRcTmoTJs2TdOnT9eECROKox4AAAAHl4cn//nnnxo0aFBx1AIAAODE5aAyaNAgffnll8VRCwAAgBOXL/3UrVtXzz33nLZt26bGjRvLw8PDaf3o0aOLrDgAAFC2uTw8OSwsLP+d2Wz67bffrruogmJ4MgAApU+xDk9OSEgodGEAAACucPkeFQAAgJJSoB6VcePG6fnnn1elSpU0bty4q277yiuvFElhAAAABQoqP/zwgzIzMx3/zs9fJ38DAAC4XjzrBwAAlChXvr+5RwUAAFhWoR5KGBcXp48//liJiYm6ePGi07oVK1YUSWEAAAAu96gsW7ZM7dq10759+/Tpp58qMzNT+/bt04YNG2S324ujRgAAUEa5HFRmzJihV199VZ9//rnKly+v1157Tfv379fgwYMVEhJSHDUCAIAyyuWgcujQIfXp00eS5OnpqfPnz8tms2ns2LGaP39+kRcIAADKLpeDip+fn9LS0iRJNWrU0N69eyVJZ8+e1YULF4q2OgAAUKa5fDNthw4dtG7dOjVu3FiDBw/W448/rg0bNmjdunXq2rVrcdQIAADKKJeDyptvvqn09HRJ0qRJk+Th4aGtW7dq4MCBeu6554q8QAAAUHYx4RsAAChRxfr05NTU1DzbbTabPD09Vb58eVd3CQAAkCeXg0rlypWv+kyfmjVrKjo6WpMnT5abGxPfAgCAwnM5qCxatEjPPPOMoqOj1apVKxmGobi4OL333nt69tlnderUKb300kvy9PTU008/XRw1AwCAMsLloPLee+/p5Zdf1uDBgx1td9xxhxo3bqx58+Zp/fr1CgkJ0fTp0wkqAADgurh8bea7775T8+bNc7U3b95c3333nSSpffv2SkxMvP7qAABAmeZyUKlZs6beeeedXO3vvPOOgoODJUmnT59WlSpVrr86AABQprl86eell17SoEGDtGbNGt16662y2WyKi4vTzz//rH//+9+SLj9deciQIUVeLAAAKFsKNY/KkSNHNHfuXB04cECGYahBgwZ66KGHFBoaWgwl5o95VAAAKH1c+f5mwjcAAFCiinXCtxwXLlxQYmKiLl686NTepEmTwu4SAADAictB5dSpUxo5cqTWrFmT5/qsrKzrLgoAAEAqxKifMWPG6M8//9S2bdtUoUIFxcbG6r333lO9evW0atWq4qgRAACUUS73qGzYsEGfffaZbr31Vrm5ualWrVrq3r27fH19FRMToz59+hRHnQAAoAxyuUfl/Pnz8vf3lyT5+fnp1KlTkqTGjRsrPj6+aKsDAABlmstBJTw8XAcOHJAkNWvWTPPmzdOxY8c0d+5cBQYGFnmBAACg7HL50s+YMWOUlJQkSZo8ebJ69uypJUuWqHz58lq0aFFR1wcAQJmRlW1oe8IZJaely9/HS63C/OTuZjO7LFNd9zwqFy5c0M8//6yQkBBVq1atqOoqEOZRAQDcKGL3Jmnq6n1KSkl3tAXavTS5X0P1irixrli48v3t8qWfK1WsWFEtWrQo8ZACAMCNInZvkh5ZHO8UUiTpREq6Hlkcr9i9SSZVZr7rDioAAKDwsrINTV29T3ld3shpm7p6n7KyS+1E8teFoAIAgIm2J5zJ1ZPyV4akpJR0bU84U3JFWYipQSUmJka33nqrfHx85O/vrwEDBjhGFAEAUBYkp+UfUgqz3Y3G1KCyefNmPfroo9q2bZvWrVunS5cuqUePHjp//ryZZQEAUGL8fbyKdLsbTYGDyqxZs/Tf//7XsbxlyxZlZGQ4ltPS0jRq1CiXDh4bG6vo6Gg1atRITZs21cKFC5WYmKidO3e6tB8AAEqrVmF+CrR7Kb9ByDZdHv3TKsyvJMuyjAIHlUmTJiktLc2x3LdvXx07dsyxfOHCBc2bN++6iklJSZF0ecbbvGRkZCg1NdXpBQBAaebuZtPkfg0lKVdYyVme3K9hmZ1PpcBB5crpVq5z+pU89z9u3Di1b99eEREReW4TExMju93ueAUHBxdpDQAAmKFXRKDmDG+hALvz5Z0Au5fmDG9xw82j4gqXZ6YtLn//+9/1448/auvWrfluM2nSJI0bN86xnJqaSlgBANwQekUEqnvDAGamvYIlgspjjz2mVatWacuWLapZs2a+23l6esrT07MEKwMAoOS4u9nUpk5Vs8uwFJeCyttvvy1vb29J0qVLl7Ro0SLHjLR/vX+loAzD0GOPPaZPP/1UmzZtUlhYmMv7AAAAN64CP+snNDRUNtu1u58SEhIKfPBRo0bpww8/1Geffabw8HBHu91uV4UKFa75fp71AwBA6ePK9/d1P5TweuQXfBYuXKjo6Ohrvp+gAgBA6ePK97ep96iYmJEAAEApUODhyd9//73WrFnj1Pb+++8rLCxM/v7+evDBB50mgAMAALheBQ4qU6ZM0Y8//uhY3rNnj+6//35169ZNEydO1OrVqxUTE1MsRQIAgLKpwEFl165d6tq1q2N52bJlat26tRYsWKBx48bp9ddf10cffVQsRQIAgLKpwEHlzz//VPXq1R3LmzdvVq9evRzLt956q44ePVq01QEAgDKtwEGlevXqjqHHFy9eVHx8vNq0aeNYn5aWJg8Pj6KvEAAAlFkFDiq9evXSxIkT9fXXX2vSpEmqWLGiOnTo4Fj/448/qk6dOsVSJAAAKJsKPDx52rRpGjhwoDp16iRvb2+99957Kl++vGP9u+++qx49ehRLkQAAoGxyecK3lJQUeXt7y93d3an9zJkz8vb2dgovxY0J3wAAKH2KdcI3u92eZ7ufn5+ruwIAALiqAgeV++67r0Dbvfvuu4UuBgAA4K8KHFQWLVqkWrVqqXnz5kx9DwAASkSBg8rDDz+sZcuW6bffftN9992n4cOHc7kHAAAUqwIPT37rrbeUlJSkCRMmaPXq1QoODtbgwYO1du1aelgAAECxcHnUT44jR45o0aJFev/995WZmal9+/bJ29u7qOu7Kkb9AABQ+rjy/V3gHpUr2Ww22Ww2GYah7Ozswu4GAAAgXy4FlYyMDC1dulTdu3dXeHi49uzZozfffFOJiYkl3psCAABufAW+mXbUqFFatmyZQkJCNHLkSC1btkxVq1YtztoAAEAZV+B7VNzc3BQSEqLmzZvLZrPlu92KFSuKrLhr4R4VAABKn2KZmfbee++9akABAAAoai5N+AYAAFCSCj3qBwAAoLgRVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGURVAAAgGWZGlS2bNmifv36KSgoSDabTStXrjSzHAAAYDGmBpXz58+radOmevPNN80sAwAAWFQ5Mw8eGRmpyMhIM0sAAAAWZmpQcVVGRoYyMjIcy6mpqSZWAwAAilupupk2JiZGdrvd8QoODja7JAAAUIxKVVCZNGmSUlJSHK+jR4+aXRIAAChGperSj6enpzw9Pc0uAwAAlJBS1aMCAADKFlN7VM6dO6eDBw86lhMSErRr1y75+fkpJCTExMoAAIAVmBpUduzYoc6dOzuWx40bJ0mKiorSokWLTKoKAFCWZGUb2p5wRslp6fL38VKrMD+5u9nMLgv/x9Sgcvvtt8swDDNLAACUYbF7kzR19T4lpaQ72gLtXprcr6F6RQSaWBlycI8KAKBMit2bpEcWxzuFFEk6kZKuRxbHK3ZvkkmV4a8IKgCAMicr29DU1fuUV59+TtvU1fuUlU2vv9kIKgCAMmd7wplcPSl/ZUhKSknX9oQzJVcU8kRQAQCUOclp+YeUwmyH4kNQAQCUOf4+XkW6HYoPQQUAUOa0CvNToN1L+Q1Ctuny6J9WYX4lWRbyQFABAJQ57m42Te7XUJJyhZWc5cn9GjKfigUQVAAAZVKviEDNGd5CAXbnyzsBdi/NGd6CeVQsolQ9lBAAgKLUKyJQ3RsGMDOthRFUAABlmrubTW3qVDW7DOSDSz8AAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyCCoAAMCyypldAACgbMrKNrQ94YyS09Ll7+OlVmF+cnezmV0WLIagAgAocbF7kzR19T4lpaQ72gLtXprcr6F6RQSaWBmshks/AIASFbs3SY8sjncKKZJ0IiVdjyyOV+zeJJMqgxURVAAAJSYr29DU1ftk5LEup23q6n3Kys5rC5RFBBUAQInZnnAmV0/KXxmSklLStT3hTMkVBUsjqAAASkxyWv4hpTDb4cZHUAEAlBh/H68i3Q43PoIKAKDEtArzU6DdS/kNQrbp8uifVmF+JVkWLIygAgAoMe5uNk3u11CScoWVnOXJ/RoynwocCCoAgBLVKyJQc4a3UIDd+fJOgN1Lc4a3YB4VOGHCNwBAiesVEajuDQOYmRbXRFABAJjC3c2mNnWqml0GLI5LPwAAwLIIKgAAwLK49AMAZQhPLEZpQ1ABgDKCJxajNOLSDwCUATyxGKUVQQUAbnA8sRilGUEFAG5wPLEYpRlBBQBucDyxGKUZN9MCQDEze6QNTyxGaUZQAYBiZIWRNjlPLD6Rkp7nfSo2XX7ODk8shhVx6QfADSkr29B3h07rs13H9N2h06bcKGqVkTY8sRilGT0qAIqU2Zc5JGv0YlxrpI1Nl0fadG8YUCLnJ+eJxVeelwDmUYHFEVTyYIUPWivVQS3WrsNKtVghIOT0YlwZEHJ6MeYMb1Eitbgy0qakHszHE4tRGpkeVN566y29+OKLSkpKUqNGjTR79mx16NDBtHqs8EFrpTqoxdp1WKkWKwQEK/ViWHWkDU8sRmlj6j0qy5cv15gxY/TMM8/ohx9+UIcOHRQZGanExERT6rHK9WSr1EEt1q7DSrVYZUIxK80XwkgboGiYGlReeeUV3X///XrggQd08803a/bs2QoODtacOXNKvBarfNBapQ5qsXYdVqvFKgHBSr0YOSNt8uu3selyzxcjbYCrMy2oXLx4UTt37lSPHj2c2nv06KFvv/02z/dkZGQoNTXV6VVUrPJBa5U6qMXadVitFqsEBCv1YjDSBigapgWVP/74Q1lZWapevbpTe/Xq1XXixIk83xMTEyO73e54BQcHF1k9VvmgtUodrhyjLNVilTpcOUZJ1GKVgGC1XoyckTYBduefO8DuVWI39QKlnek309pszh8phmHkassxadIkjRs3zrGcmppaZGHFKh+0VqnDlWOUpVqsUocrxyiJWqwyoVhOL8Yji+Nlk5xqMasXg5E2wPUxrUelWrVqcnd3z9V7kpycnKuXJYenp6d8fX2dXkXFKn+JWaUOarF2HVarxUqXOazYi5Ez0qZ/sxpqU6cqIQVwgWlBpXz58rrlllu0bt06p/Z169apbdu2JV6PVT5orVIHtVi7DqvVIlkrIPSKCNTWCV209G+36bW7m2np327T1glduNQClEI2wzBKfl7p/7N8+XKNGDFCc+fOVZs2bTR//nwtWLBAP/30k2rVqnXN96empsputyslJaXIelesNCeFFeqgFmvXYbVaJOtMPgfAulz5/jY1qEiXJ3ybNWuWkpKSFBERoVdffVUdO3Ys0HuLI6hI1vmgtUod1GLtOqxWCwBcS6kKKtejuIIKAAAoPq58f/P0ZAAAYFkEFQAAYFkEFQAAYFkEFQAAYFkEFQAAYFkEFQAAYFkEFQAAYFkEFQAAYFkEFQAAYFnlzC7geuRMqpuammpyJQAAoKByvrcLMjl+qQ4qaWlpkqTg4GCTKwEAAK5KS0uT3W6/6jal+lk/2dnZOn78uHx8fGSz3ZgPYEtNTVVwcLCOHj3K84z+gvOSG+ckN85J3jgvuXFO8lZc58UwDKWlpSkoKEhuble/C6VU96i4ubmpZs2aZpdRInx9ffmfJw+cl9w4J7lxTvLGecmNc5K34jgv1+pJycHNtAAAwLIIKgAAwLIIKhbn6empyZMny9PT0+xSLIXzkhvnJDfOSd44L7lxTvJmhfNSqm+mBQAANzZ6VAAAgGURVAAAgGURVAAAgGURVAAAgGURVEqJmJgY2Ww2jRkzxuxSTHXs2DENHz5cVatWVcWKFdWsWTPt3LnT7LJMdenSJT377LMKCwtThQoVVLt2bf3zn/9Udna22aWVmC1btqhfv34KCgqSzWbTypUrndYbhqEpU6YoKChIFSpU0O23366ffvrJnGJL0NXOS2ZmpiZMmKDGjRurUqVKCgoK0r333qvjx4+bV3AJuNbvyl899NBDstlsmj17donVZ4aCnJP9+/frjjvukN1ul4+Pj2677TYlJiaWSH0ElVIgLi5O8+fPV5MmTcwuxVR//vmn2rVrJw8PD61Zs0b79u3Tyy+/rMqVK5tdmqlmzpypuXPn6s0339T+/fs1a9Ysvfjii3rjjTfMLq3EnD9/Xk2bNtWbb76Z5/pZs2bplVde0Ztvvqm4uDgFBASoe/fujueF3aiudl4uXLig+Ph4Pffcc4qPj9eKFSv0yy+/6I477jCh0pJzrd+VHCtXrtT333+voKCgEqrMPNc6J4cOHVL79u3VoEEDbdq0Sbt379Zzzz0nLy+vkinQgKWlpaUZ9erVM9atW2d06tTJePzxx80uyTQTJkww2rdvb3YZltOnTx/jvvvuc2obOHCgMXz4cJMqMpck49NPP3UsZ2dnGwEBAcYLL7zgaEtPTzfsdrsxd+5cEyo0x5XnJS/bt283JBlHjhwpmaJMlt85+f33340aNWoYe/fuNWrVqmW8+uqrJV6bWfI6J0OGDDH184QeFYt79NFH1adPH3Xr1s3sUky3atUqtWzZUoMGDZK/v7+aN2+uBQsWmF2W6dq3b6/169frl19+kSTt3r1bW7duVe/evU2uzBoSEhJ04sQJ9ejRw9Hm6empTp066dtvvzWxMutJSUmRzWYr072U2dnZGjFihMaPH69GjRqZXY7psrOz9Z///Ef169dXz5495e/vr9atW1/1kllRI6hY2LJlyxQfH6+YmBizS7GE3377TXPmzFG9evW0du1aPfzwwxo9erTef/99s0sz1YQJE3TPPfeoQYMG8vDwUPPmzTVmzBjdc889ZpdmCSdOnJAkVa9e3am9evXqjnWQ0tPTNXHiRA0dOrRMP5Rv5syZKleunEaPHm12KZaQnJysc+fO6YUXXlCvXr305Zdf6s4779TAgQO1efPmEqmhVD89+UZ29OhRPf744/ryyy9L7jqgxWVnZ6tly5aaMWOGJKl58+b66aefNGfOHN17770mV2ee5cuXa/Hixfrwww/VqFEj7dq1S2PGjFFQUJCioqLMLs8ybDab07JhGLnayqrMzEzdfffdys7O1ltvvWV2OabZuXOnXnvtNcXHx/O78X9ybsrv37+/xo4dK0lq1qyZvv32W82dO1edOnUq9hroUbGonTt3Kjk5WbfccovKlSuncuXKafPmzXr99ddVrlw5ZWVlmV1iiQsMDFTDhg2d2m6++eYSu/PcqsaPH6+JEyfq7rvvVuPGjTVixAiNHTuWnrj/ExAQIEm5ek+Sk5Nz9bKURZmZmRo8eLASEhK0bt26Mt2b8vXXXys5OVkhISGOz90jR47oiSeeUGhoqNnlmaJatWoqV66cqZ+99KhYVNeuXbVnzx6ntpEjR6pBgwaaMGGC3N3dTarMPO3atdOBAwec2n755RfVqlXLpIqs4cKFC3Jzc/6bw93dvUwNT76asLAwBQQEaN26dWrevLkk6eLFi9q8ebNmzpxpcnXmygkpv/76qzZu3KiqVauaXZKpRowYket+wJ49e2rEiBEaOXKkSVWZq3z58rr11ltN/ewlqFiUj4+PIiIinNoqVaqkqlWr5movK8aOHau2bdtqxowZGjx4sLZv36758+dr/vz5Zpdmqn79+mn69OkKCQlRo0aN9MMPP+iVV17RfffdZ3ZpJebcuXM6ePCgYzkhIUG7du2Sn5+fQkJCNGbMGM2YMUP16tVTvXr1NGPGDFWsWFFDhw41serid7XzEhQUpLvuukvx8fH6/PPPlZWV5eh18vPzU/ny5c0qu1hd63flyrDm4eGhgIAAhYeHl3SpJeZa52T8+PEaMmSIOnbsqM6dOys2NlarV6/Wpk2bSqZA08YbwWVlfXiyYRjG6tWrjYiICMPT09No0KCBMX/+fLNLMl1qaqrx+OOPGyEhIYaXl5dRu3Zt45lnnjEyMjLMLq3EbNy40ZCU6xUVFWUYxuUhypMnTzYCAgIMT09Po2PHjsaePXvMLboEXO28JCQk5LlOkrFx40azSy821/pduVJZGJ5ckHPyzjvvGHXr1jW8vLyMpk2bGitXriyx+myGYRglE4kAAABcw820AADAsggqAADAsggqAADAsggqAADAsggqAADAsggqAADAsggqAADAsggqAErcN998o8aNG8vDw0MDBgwotuNMmTJFzZo1K7b9F6Xo6GiXzsXhw4dls9m0a9euYqsJsAKCCmCC6Oho2Ww22Ww2eXh4qHr16urevbvefffdMvGMnnHjxqlZs2ZKSEjQokWLzC7HEl577TXOBZAHggpgkl69eikpKUmHDx/WmjVr1LlzZz3++OPq27evLl26VKzHvnjxYrHu/1oOHTqkLl26qGbNmqpcubKptViF3W7nXAB5IKgAJvH09FRAQIBq1KihFi1a6Omnn9Znn32mNWvWOP1lnZKSogcffFD+/v7y9fVVly5dtHv3bqd9TZs2Tf7+/vLx8dEDDzygiRMnOl3yyLmsEBMTo6CgINWvX1+SdOzYMQ0ZMkRVqlRR1apV1b9/fx0+fNhp3wsXLtTNN98sLy8vNWjQQG+99dZVf66MjAyNHj1a/v7+8vLyUvv27RUXFyfp/y9XnD59Wvfdd59sNlu+vQihoaF6/vnnNXToUHl7eysoKEhvvPGG0zaJiYnq37+/vL295evrq8GDB+vkyZN57m/Lli3y8PBwPHgvxxNPPKGOHTtKkhYtWqTKlStr7dq1uvnmm+Xt7e0IlDmys7P1z3/+UzVr1pSnp6eaNWum2NhYx/qcn/Gjjz5Shw4dVKFCBd1666365ZdfFBcXp5YtWzr2e+rUKcf7rrz0Exsbq/bt26ty5cqqWrWq+vbtq0OHDl313AM3IoIKYCFdunRR06ZNtWLFCkmSYRjq06ePTpw4oS+++EI7d+5UixYt1LVrV505c0aStGTJEk2fPl0zZ87Uzp07FRISojlz5uTa9/r167V//36tW7dOn3/+uS5cuKDOnTvL29tbW7Zs0datWx1foDk9LgsWLNAzzzyj6dOna//+/ZoxY4aee+45vffee/n+DE899ZQ++eQTvffee4qPj1fdunXVs2dPnTlzRsHBwUpKSpKvr69mz56tpKQkDRkyJN99vfjii2rSpIni4+M1adIkjR07VuvWrXOcmwEDBujMmTPavHmz1q1bp0OHDuW7v44dO6p27dr64IMPHG2XLl3S4sWLNXLkSEfbhQsX9NJLL+mDDz7Qli1blJiYqCeffNKx/rXXXtPLL7+sl156ST/++KN69uypO+64Q7/++qvT8SZPnqxnn31W8fHxKleunO655x499dRTeu211/T111/r0KFD+sc//pHvz37+/HmNGzdOcXFxWr9+vdzc3HTnnXeWiUuDgJMSe/whAIeoqCijf//+ea4bMmSIcfPNNxuGYRjr1683fH19jfT0dKdt6tSpY8ybN88wDMNo3bq18eijjzqtb9eundG0aVOn41WvXt3picrvvPOOER4ebmRnZzvaMjIyjAoVKhhr1641DMMwgoODjQ8//NBp388//7zRpk2bPGs/d+6c4eHhYSxZssTRdvHiRSMoKMiYNWuWo81utxsLFy7Mcx85atWqZfTq1cupbciQIUZkZKRhGIbx5ZdfGu7u7kZiYqJj/U8//WRIMrZv324YhmFMnjzZ6TzMnDnTcW4NwzBWrlxpeHt7G+fOnTMMwzAWLlxoSDIOHjzo2OZf//qXUb16dcdyUFCQMX36dKe6br31VmPUqFGGYRiOpxK//fbbjvVLly41JBnr1693tMXExBjh4eGO5av9ThiGYSQnJxuSHE99zjnODz/8kO97gBsBPSqAxRiGIZvNJknauXOnzp07p6pVq8rb29vxSkhIcFwGOHDggFq1auW0jyuXJalx48YqX768Y3nnzp06ePCgfHx8HPv18/NTenq6Dh06pFOnTuno0aO6//77nY49bdq0fC9BHDp0SJmZmWrXrp2jzcPDQ61atdL+/ftdPhdt2rTJtZyzn/379ys4OFjBwcGO9Q0bNlTlypXzPVZ0dLQOHjyobdu2SZLeffddDR48WJUqVXJsU7FiRdWpU8exHBgYqOTkZElSamqqjh8/7vTzSVK7du1yHbNJkyaOf1evXl3S5f8Gf23L2W9eDh06pKFDh6p27dry9fVVWFiYpMuXu4CypJzZBQBwtn//fseXUnZ2tgIDA7Vp06Zc2/31xsucYJPDMIxc2//1yzhn37fccouWLFmSa9ubbrpJ6enpki5f/mndurXTend39zxrzzluXvVc2VZYOfvJb59XO5a/v7/69eunhQsXqnbt2vriiy9ynVsPD49cx7vyfBbk5/vrfnLWXdl2tcs4/fr1U3BwsBYsWKCgoCBlZ2crIiLC9BuhgZJGUAEsZMOGDdqzZ4/Gjh0rSWrRooVOnDihcuXKKTQ0NM/3hIeHa/v27RoxYoSjbceOHdc8VosWLbR8+XLHTbpXstvtqlGjhn777TcNGzasQPXXrVtX5cuX19atWzV06FBJUmZmpnbs2KExY8YUaB9/ldPz8dflBg0aSLrce5KYmKijR486elX27dunlJQU3Xzzzfnu84EHHtDdd9+tmjVrqk6dOrl6R67G19dXQUFB2rp1q+MGXEn69ttv8+zFKqzTp09r//79mjdvnjp06CBJ2rp1a5HtHyhNCCqASTIyMnTixAllZWXp5MmTio2NVUxMjPr27at7771XktStWze1adNGAwYM0MyZMxUeHq7jx4/riy++0IABA9SyZUs99thj+tvf/qaWLVuqbdu2Wr58uX788UfVrl37qscfNmyYXnzxRfXv398xiiUxMVErVqzQ+PHjVbNmTU2ZMkWjR4+Wr6+vIiMjlZGRoR07dujPP//UuHHjcu2zUqVKeuSRRzR+/Hj5+fkpJCREs2bN0oULF3T//fe7fI6++eYbzZo1SwMGDNC6dev08ccf6z//+Y/j3DRp0kTDhg3T7NmzdenSJY0aNUqdOnVSy5Yt891nz549ZbfbNW3aNP3zn/90uabx48dr8uTJqlOnjpo1a6aFCxdq165defZMFVbOKKz58+crMDBQiYmJmjhxYpHtHyhNCCqASWJjYxUYGKhy5cqpSpUqatq0qV5//XVFRUXJze3y7WM2m01ffPGFnnnmGd133306deqUAgIC1LFjR8d9D8OGDdNvv/2mJ598Uunp6Ro8eLCio6O1ffv2qx6/YsWK2rJliyZMmKCBAwcqLS1NNWrUUNeuXR09LA888IAqVqyoF198UU899ZQqVaqkxo0bX7V35IUXXlB2drZGjBihtLQ0tWzZUmvXrlWVKlVcPkdPPPGEdu7cqalTp8rHx0cvv/yyevbs6Tg3K1eu1GOPPaaOHTvKzc1NvXr1yjWE+Upubm6Kjo7WjBkzHIHQFaNHj1ZqaqqeeOIJJScnq2HDhlq1apXq1avn8r6uVuOyZcs0evRoRUREKDw8XK+//rpuv/32IjsGUFrYjLwuZgMo1bp3766AgACnobilTWhoqMaMGVOoS0bX8re//U0nT57UqlWrinzfAIoWPSpAKXfhwgXNnTtXPXv2lLu7u5YuXaqvvvrKMd8I/l9KSori4uK0ZMkSffbZZ2aXA6AACCpAKZdzeWjatGnKyMhQeHi4PvnkE3Xr1s3s0iynf//+2r59ux566CF1797d7HIAFACXfgAAgGUx4RsAALAsggoAALAsggoAALAsggoAALAsggoAALAsggoAALAsggoAALAsggoAALAsggoAALCs/wUQ3uc4DoYVSAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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IM2fOYMCAARg2bBhyc3P19lcqlRg+fDgGDBiAM2fO4N1338Xs2bPx448/avqUlJTA09MTy5Ytg1wu17uf5ORkzJo1C6dOnUJiYiIqKysRHByMe/fu6fTds2cP/vOf/8DFxcU4X5qIiIhaDIkgCI37Upr7BAQEwNfXF3FxcZq27t27IywsDDExMTr9o6KiEB8fj5ycHE3b9OnTkZWVhZSUFJ3+CoUCERERiIiIqLOOGzduwNHREcnJyRg4cKCmPS8vDwEBATh48CBGjBhRr33dr6ioCDKZDCqVCnZ2dvXejoiIiEzHkN9vk41IlZeXIz09HcHBwVrtwcHBOHnypN5tUlJSdPoPHToUp0+fRkVFhehaVCoVAMDe/n+TeKnVakyaNAnz5s3DU089Va/9lJWVoaioSOtDRERELZfJgtTNmzdRVVUFJycnrXYnJycUFBTo3aagoEBv/8rKSty8eVNUHYIgIDIyEv3794e3t7emPTY2FhYWFpg9e3a99xUTEwOZTKb5uLq6iqqJiIiImgeT32wukWjP+yAIgk7bw/rra6+vN954A7/88gt27NihaUtPT8eqVauwZcsWg/a7YMECqFQqzefatWuiaiIiIqLmwWRBqn379jA3N9cZfSosLNQZdaohl8v19rewsICDg+HzSbz55puIj4/H0aNH0bFjR0378ePHUVhYCDc3N1hYWMDCwgJXr17F3LlzoVAoat2ftbU17OzstD5ERETUcpksSFlZWcHPzw+JiYla7YmJiejXr5/ebQIDA3X6Hzp0CP7+/rC0tKz3sQVBwBtvvIFdu3bhyJEj8PDw0Fo/adIk/PLLL8jMzNR8XFxcMG/ePBw8eLDexyEiIqKWzaQzm0dGRmLSpEnw9/dHYGAgNm7ciNzcXEyfPh1A9aWyvLw8bN26FUD1E3pr1qxBZGQkpk6dipSUFGzatEnrslx5eTmys7M1f87Ly0NmZiZsbGzQuXNnAMCsWbPw7bffYu/evbC1tdWMcslkMrRq1QoODg46I1yWlpaQy+Xo2rVrg58XIiIiah5MGqTGjx+PW7du4YMPPkB+fj68vb2xf/9+uLu7AwDy8/O15pTy8PDA/v37MWfOHKxduxYuLi5YvXo1xowZo+lz/fp1+Pj4aJZXrFiBFStWICgoCElJSQCgmW5h0KBBWvVs3rwZ4eHhDfNliYiIqMUx6TxSLR3nkSIiImp+msU8UkRERETNHYMUERERkUgMUkREREQiMUgRERERicQgRURERCQSgxQRERGRSAxSRERERCIxSBERERGJxCBFREREJBKDFBEREZFIDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgMUkREREQiMUgRERERicQgRURERCQSgxQRERGRSAxSRERERCIxSBERERGJxCBFREREJBKDFBEREZFIDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgMUkREREQiMUgRERERicQgRURERCQSgxQRERGRSAxSRERERCIxSBERERGJxCBFREREJBKDFBEREZFIDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgWpi6AiIiImocqtYBU5W0UFpfC0VaKvh72MDeTmLosk2KQIiIioodKOJePxfuyka8q1bQ5y6SIDvVCiLezCSszLV7aIyIiojolnMvHjG0ZWiEKAApUpZixLQMJ5/JNVJnpMUgRERFRrarUAhbvy4agZ11N2+J92ahS6+vR8jFIERERUa1Slbd1RqLuJwDIV5UiVXm78YpqQhikiIiIqFaFxbWHKDH9WhoGKSIiIqqVo63UqP1aGgYpIiIiqlVfD3s4y6SobZIDCaqf3uvrYd+YZTUZDFJERERUK3MzCaJDvQBAJ0zVLEeHej2280kxSBEREVGdQrydETfRF3KZ9uU7uUyKuIm+j/U8UpyQk4iIiB4qxNsZQ7zknNn8AQxSREREVC/mZhIEdnIwdRlNCi/tEREREYnEIEVEREQkEoMUERERkUgmD1Lr1q2Dh4cHpFIp/Pz8cPz48Tr7Jycnw8/PD1KpFJ6enli/fr3W+vPnz2PMmDFQKBSQSCRYuXKlzj5iYmLQp08f2NrawtHREWFhYbhw4YJmfUVFBaKiotCjRw+0adMGLi4ueOWVV3D9+nWjfGciIiJqGUwapHbu3ImIiAgsXLgQZ86cwYABAzBs2DDk5ubq7a9UKjF8+HAMGDAAZ86cwbvvvovZs2fjxx9/1PQpKSmBp6cnli1bBrlcrnc/ycnJmDVrFk6dOoXExERUVlYiODgY9+7d0+wjIyMDixYtQkZGBnbt2oWLFy9i5MiRxj8JRERE1GxJBEEw2euaAwIC4Ovri7i4OE1b9+7dERYWhpiYGJ3+UVFRiI+PR05OjqZt+vTpyMrKQkpKik5/hUKBiIgIRERE1FnHjRs34OjoiOTkZAwcOFBvn7S0NPTt2xdXr16Fm5tbvb5fUVERZDIZVCoV7Ozs6rUNERERmZYhv98mG5EqLy9Heno6goODtdqDg4Nx8uRJvdukpKTo9B86dChOnz6NiooK0bWoVCoAgL197dPbq1QqSCQStG3bVvRxiIiIqGUx2TxSN2/eRFVVFZycnLTanZycUFBQoHebgoICvf0rKytx8+ZNODsbPrOqIAiIjIxE//794e3trbdPaWkp5s+fjwkTJtSZTMvKylBWVqZZLioqMrgeIiIiaj5MfrO5RKI9I6ogCDptD+uvr72+3njjDfzyyy/YsWOH3vUVFRV48cUXoVarsW7dujr3FRMTA5lMpvm4urqKqomIiIiaB5MFqfbt28Pc3Fxn9KmwsFBn1KmGXC7X29/CwgIODobPtPrmm28iPj4eR48eRceOHXXWV1RUYNy4cVAqlUhMTHzoddIFCxZApVJpPteuXTO4JiIiImo+TBakrKys4Ofnh8TERK32xMRE9OvXT+82gYGBOv0PHToEf39/WFpa1vvYgiDgjTfewK5du3DkyBF4eHjo9KkJUb/99ht+/vnnegU1a2tr2NnZaX2IiIio5TLpu/YiIyMxadIk+Pv7IzAwEBs3bkRubi6mT58OoHqEJy8vD1u3bgVQ/YTemjVrEBkZialTpyIlJQWbNm3SuixXXl6O7OxszZ/z8vKQmZkJGxsbdO7cGQAwa9YsfPvtt9i7dy9sbW01o1wymQytWrVCZWUl/va3vyEjIwM//fQTqqqqNH3s7e1hZWXVaOeIiIiImjDBxNauXSu4u7sLVlZWgq+vr5CcnKxZN3nyZCEoKEirf1JSkuDj4yNYWVkJCoVCiIuL01qvVCoFADqf+/ejbz0AYfPmzXXuA4Bw9OjRen83lUolABBUKpWhp4WIiIhMxJDfb5POI9XScR4pIiJ6VFVqAanK2ygsLoWjrRR9PexhbibuASuqH0N+v016aY+IiIhql3AuH4v3ZSNfVappc5ZJER3qhRBvw6f8IeMz+fQHREREpCvhXD5mbMvQClEAUKAqxYxtGUg4l2+iyuh+DFJERERNTJVawOJ92dB3701N2+J92ahS8+4cU2OQIiIiamJSlbd1RqLuJwDIV5UiVXm78YoivRikiIiImpjC4tpDlJh+1HAYpIiIiJoYR1upUftRw2GQIiIiamL6etjDWSZFbZMcSFD99F5fD/vGLIv0YJAiIiJqYszNJIgO9QIAnTBVsxwd6sX5pJoABikiIqImKMTbGXETfSGXaV++k8ukiJvoy3mkmghOyElERNREhXg7Y4iXnDObN2EMUkRERE2YuZkEgZ0cTF0G1YKX9oiIiIhEYpAiIiIiEolBioiIiEgkBikiIiIikRikiIiIiERikCIiIiISiUGKiIiISCQGKSIiIiKRGKSIiIiIRGKQIiIiIhKJQYqIiIhIJAYpIiIiIpEYpIiIiIhEYpAiIiIiEolBioiIiEgkBikiIiIikRikiIiIiEQyOEh5enri1q1bOu137tyBp6enUYoiIiIiag4MDlJXrlxBVVWVTntZWRny8vKMUhQRERFRc2BR347x8fGaPx88eBAymUyzXFVVhcOHD0OhUBi1OCIiIqKmrN5BKiwsDAAgkUgwefJkrXWWlpZQKBT45JNPjFocERERUVNW7yClVqsBAB4eHkhLS0P79u0brCgiIiKi5qDeQaqGUqnUabtz5w7atm1rjHqIiIiImg2DbzaPjY3Fzp07Nctjx46Fvb09OnTogKysLKMWR0RERNSUGRykNmzYAFdXVwBAYmIifv75ZyQkJGDYsGGYN2+e0QskIiIiaqoMvrSXn5+vCVI//fQTxo0bh+DgYCgUCgQEBBi9QCIiIqKmyuARqXbt2uHatWsAgISEBDz33HMAAEEQ9M4vRURERNRSGTwiNXr0aEyYMAFdunTBrVu3MGzYMABAZmYmOnfubPQCiYiIiJoqg4PUZ599BoVCgWvXrmH58uWwsbEBUH3Jb+bMmUYvkIiIiKipkgiCIJi6iJaqqKgIMpkMKpUKdnZ2pi6HiIiI6sGQ32+D75ECgG+++Qb9+/eHi4sLrl69CgBYuXIl9u7dK2Z3RERERM2SwUEqLi4OkZGRGDZsGO7cuaO5wbxt27ZYuXKlsesjIiIiarIMDlKff/45vvjiCyxcuBDm5uaadn9/f5w9e9aoxRERERE1ZQYHKaVSCR8fH512a2tr3Lt3zyhFERERETUHBgcpDw8PZGZm6rQfOHAAXl5exqiJiIiIqFkwePqDefPmYdasWSgtLYUgCEhNTcWOHTsQExODL7/8siFqJCIiImqSDA5Sr776KiorK/HOO++gpKQEEyZMQIcOHbBq1Sq8+OKLDVEjERERUZP0SPNI3bx5E2q1Go6OjsasqcXgPFJERETNT4POI/XMM8/gzp07AID27dtrQlRRURGeeeYZw6slIiJqYqrUAlIu38LezDykXL6FKjXnrib9DL60l5SUhPLycp320tJSHD9+3ChFERERmUrCuXws3peNfFWpps1ZJkV0qBdCvJ1NWBk1RfUOUr/88ovmz9nZ2SgoKNAsV1VVISEhAR06dDBudURERI0o4Vw+ZmzLwIPjTwWqUszYloG4ib4MU6Sl3kGqd+/ekEgkkEgkei/htWrVCp9//rlRiyMiImosVWoBi/dl64QoABAASAAs3peNIV5ymJtJGrk6aqrqHaSUSiUEQYCnpydSU1PxxBNPaNZZWVnB0dFRa6ZzIiKi5iRVeVvrct6DBAD5qlKkKm8jsJND4xVGTVq9bzZ3d3eHQqGAWq2Gv78/3N3dNR9nZ2fRIWrdunXw8PCAVCqFn5/fQ++zSk5Ohp+fH6RSKTw9PbF+/Xqt9efPn8eYMWOgUCggkUj0vv8vJiYGffr0ga2tLRwdHREWFoYLFy5o9REEAe+//z5cXFzQqlUrDBo0COfPnxf1HYmIqOkrLK49RInpR48Hg5/aM6adO3ciIiICCxcuxJkzZzBgwAAMGzYMubm5evsrlUoMHz4cAwYMwJkzZ/Duu+9i9uzZ+PHHHzV9SkpK4OnpiWXLlkEul+vdT3JyMmbNmoVTp04hMTERlZWVCA4O1nrFzfLly/Hpp59izZo1SEtLg1wux5AhQ1BcXGzck0BERE2Co63UqP3o8fBI80g9qoCAAPj6+iIuLk7T1r17d4SFhSEmJkanf1RUFOLj45GTk6Npmz59OrKyspCSkqLTX6FQICIiAhEREXXWcePGDTg6OiI5ORkDBw6EIAhwcXFBREQEoqKiAABlZWVwcnJCbGwspk2bVq/vx3mkiIiajyq1gP6xR1CgKtV7n5QEgFwmxYmoZ3iPVAvXoPNIGUt5eTnS09MRHBys1R4cHIyTJ0/q3SYlJUWn/9ChQ3H69GlUVFSIrkWlUgEA7O3tAVSPfBUUFGgdy9raGkFBQbXWBlSHraKiIq0PERE1D+ZmEkSHVr8z9sGYVLMcHerFEEVaTBakbt68iaqqKjg5OWm1Ozk5aU2tcL+CggK9/SsrK3Hz5k1RdQiCgMjISPTv3x/e3t6a49Tsu761AdX3XslkMs3H1dVVVE1ERGQaId7OiJvoC7lM+/KdXCbl1Aekl8ETcnp6eiItLQ0ODtpPLNy5cwe+vr74/fffDdqfRKKd7AVB0Gl7WH997fX1xhtv4JdffsGJEyceubYFCxYgMjJSs1xUVMQwRUTUzIR4O2OIlxypytsoLC6Fo60UfT3sORJFehkcpK5cuYKqqiqd9rKyMuTl5dV7P+3bt4e5ubnOCE9hYaHOSFANuVyut7+FhYVOsKuPN998E/Hx8Th27Bg6duyodRygemTK2fl///VRV21A9eU/a2trg+sgIqKmxdxMwikOqF7qHaTi4+M1fz548CBkMplmuaqqCocPH4ZCoaj3ga2srODn54fExES88MILmvbExESMGjVK7zaBgYHYt2+fVtuhQ4fg7+8PS0vLeh9bEAS8+eab2L17N5KSkuDh4aG13sPDA3K5HImJifDx8QFQfU9XcnIyYmNj630cIiIiatnqHaTCwsIAVF/umjx5stY6S0tLKBQKfPLJJwYdPDIyEpMmTYK/vz8CAwOxceNG5ObmYvr06QCqL5Xl5eVh69atAKqf0FuzZg0iIyMxdepUpKSkYNOmTdixY4dmn+Xl5cjOztb8OS8vD5mZmbCxsUHnzp0BALNmzcK3336LvXv3wtbWVjPKJZPJ0KpVK0gkEkRERGDp0qXo0qULunTpgqVLl6J169aYMGGCQd+RiIiIWjDBQAqFQrhx44ahm9Vq7dq1gru7u2BlZSX4+voKycnJmnWTJ08WgoKCtPonJSUJPj4+gpWVlaBQKIS4uDit9UqlUkD1BLRan/v3o289AGHz5s2aPmq1WoiOjhbkcrlgbW0tDBw4UDh79qxB302lUgkABJVKZdB2REREZDqG/H4bZR6pO3fuoG3bto+6mxaH80gRERE1Pw06j1RsbCx27typWR47dizs7e3RoUMHZGVlGV4tERHR/1elFpBy+Rb2ZuYh5fItVKlNNmc0Ub0Y/NTehg0bsG3bNgDVN4b//PPPSEhIwPfff4958+bh0KFDRi+SiIhavoRz+Vi8L1vrxcHOMimiQ704fxM1WQYHqfz8fM3cSD/99BPGjRuH4OBgKBQKBAQEGL1AIiJq+RLO5WPGtgydV7MUqEoxY1sGJ8OkJsvgS3vt2rXDtWvXAAAJCQl47rnnAFRPKaBvfikiIqK6VKkFLN6Xrff9djVti/dl8zIfNUkGB6nRo0djwoQJGDJkCG7duoVhw4YBADIzMzXTCxAREdVXqvK21uW8BwkA8lWlSFXebryiiOrJ4Et7n332GRQKBa5du4bly5fDxsYGQPUlv5kzZxq9QCIiatkKi2sPUWL6ETUmg4OUpaUl3n77bZ32iIgIY9RDRESPGUdb6cM7GdCPqDEZHKQA4OLFi0hKSkJhYSHUarXWun/84x9GKYyIiB4PfT3s4SyTokBVqvc+KQkAuaz6xcFETY3BQeqLL77AjBkz0L59e8jlckgk/3sbtkQiYZAiIiKDmJtJEB3qhRnbMiABtMJUzS9MdKgXzM0kerYmMi2DZzZ3d3fHzJkzERUV1VA1tRic2ZyIqP44jxQ1FYb8fhs8IvXXX39h7NixoosjIiLSJ8TbGUO85EhV3kZhcSkcbasv53Ekipoyg6c/GDt2LGcvJyKiBmFuJkFgJweM6t0BgZ0cGKKoyTN4RKpz585YtGgRTp06hR49esDS0lJr/ezZs41WHBEREVFTZvA9Uh4eHrXvTCLB77///shFtRS8R4qIiKj5adB7pJRKpejCiIiIiFoSg++RIiIiIqJq9RqRioyMxIcffog2bdogMjKyzr6ffvqpUQojIiIiaurqFaTOnDmDiooKzZ9rc//knEREREQtncE3m1P98WZzIiKi5seQ32/eI0VEREQkkqiXFqelpeGHH35Abm4uysvLtdbt2rXLKIURERERNXUGj0h99913ePrpp5GdnY3du3ejoqIC2dnZOHLkCGQyWUPUSERERNQkGRykli5dis8++ww//fQTrKyssGrVKuTk5GDcuHFwc3NriBqJiIiImiSDg9Tly5cxYsQIAIC1tTXu3bsHiUSCOXPmYOPGjUYvkIiIiKipMjhI2dvbo7i4GADQoUMHnDt3DgBw584dlJSUGLc6IiIioibM4JvNBwwYgMTERPTo0QPjxo3DW2+9hSNHjiAxMRHPPvtsQ9RIRERE1CQZHKTWrFmD0tJSAMCCBQtgaWmJEydOYPTo0Vi0aJHRCyQiIiJqqjghZwPihJxERETNjyG/3waPSBUVFeltl0gksLa2hpWVlaG7JCIiImqWDA5Sbdu2rfOdeh07dkR4eDiio6NhZsaJ04mIiKjlMjhIbdmyBQsXLkR4eDj69u0LQRCQlpaGr7/+Gu+99x5u3LiBFStWwNraGu+++25D1ExERETUJBgcpL7++mt88sknGDdunKZt5MiR6NGjBzZs2IDDhw/Dzc0NH330EYMUEVEzUKUWkKq8jcLiUjjaStHXwx7mZrVfeSCi/zE4SKWkpGD9+vU67T4+PkhJSQEA9O/fH7m5uY9eHRERNaiEc/lYvC8b+apSTZuzTIroUC+EeDubsDKi5sHgm5g6duyITZs26bRv2rQJrq6uAIBbt26hXbt2j14dERE1mIRz+ZixLUMrRAFAgaoUM7ZlIOFcvokqI2o+DB6RWrFiBcaOHYsDBw6gT58+kEgkSEtLw6+//op//vOfAIC0tDSMHz/e6MUSEZFxVKkFLN6XDX3z3wgAJAAW78vGEC85L/MR1cHgIDVy5EhcvHgR69evx4ULFyAIAoYNG4Y9e/ZAoVAAAGbMmGHsOomIyIhSlbd1RqLuJwDIV5UiVXkbgZ0cGq8wombG4CAFAO7u7oiJiTF2LURE1EgKi2sPUWL6ET2uRAUpACgpKUFubi7Ky8u12nv27PnIRRERUcNytJUatR/R48rgIHXjxg28+uqrOHDggN71VVVVj1wUERE1rL4e9nCWSVGgKtV7n5QEgFxWPRUCEdXO4Kf2IiIi8Ndff+HUqVNo1aoVEhIS8PXXX6NLly6Ij49viBqJiMjIzM0kiA71AlAdmu5Xsxwd6sUbzYkewuARqSNHjmDv3r3o06cPzMzM4O7ujiFDhsDOzg4xMTEYMWJEQ9RJRERGFuLtjLiJvjrzSMk5jxRRvRkcpO7duwdHR0cAgL29PW7cuIEnn3wSPXr0QEZGhtELJCKihhPi7YwhXnLObE4kksFBqmvXrrhw4QIUCgV69+6NDRs2QKFQYP369XB25n+9EBE1N+ZmEk5xQCSSwUEqIiIC+fnVs91GR0dj6NCh2L59O6ysrLBlyxZj10dERETUZEkEQdD3wEa9lZSU4Ndff4Wbmxvat29vrLpahKKiIshkMqhUKtjZ2Zm6HCIiIqoHQ36/Rc8jVaN169bw9fV91N0QERERNTsGT39ARERERNUYpIiIiIhEYpAiIiIiEolBioiIiEikegep5cuX47///a9m+dixYygrK9MsFxcXY+bMmcatjoiIiKgJq/f0B+bm5sjPz9fMam5nZ4fMzEx4enoCAP7880+4uLjwpcX34fQHREREzY8hv9/1HpF6MG894vRTRERERM0e75EiIiIiEsnkQWrdunXw8PCAVCqFn58fjh8/Xmf/5ORk+Pn5QSqVwtPTE+vXr9daf/78eYwZMwYKhQISiQQrV67U2cexY8cQGhoKFxcXSCQS7NmzR6fP3bt38cYbb6Bjx45o1aoVunfvjri4uEf5qkRERNTCGDSz+ZdffgkbGxsAQGVlJbZs2aJ5LUxxcbHBB9+5cyciIiKwbt06PP3009iwYQOGDRuG7OxsuLm56fRXKpUYPnw4pk6dim3btuHf//43Zs6ciSeeeAJjxowBUP3KGk9PT4wdOxZz5szRe9x79+6hV69eePXVVzXbPWjOnDk4evQotm3bBoVCgUOHDmHmzJlwcXHBqFGjDP6uRERE1PLU+2bzmhGeh1EqlfU+eEBAAHx9fbVGerp3746wsDDExMTo9I+KikJ8fDxycnI0bdOnT0dWVhZSUlL01hwREYGIiIhaa5BIJNi9ezfCwsK02r29vTF+/HgsWrRI0+bn54fhw4fjww8/rNf3483mREREzU+DvGvvypUrj1qXlvLycqSnp2P+/Pla7cHBwTh58qTebVJSUhAcHKzVNnToUGzatAkVFRWwtLQ0Wn39+/dHfHw8pkyZAhcXFyQlJeHixYtYtWpVrduUlZVpTQlRVFRktHqIiIio6THZPVI3b95EVVUVnJyctNqdnJxQUFCgd5uCggK9/SsrK3Hz5k2j1rd69Wp4eXmhY8eOsLKyQkhICNatW4f+/fvXuk1MTAxkMpnm4+rqatSaiIiIqGmpd5D6z3/+gwMHDmi1bd26FR4eHnB0dMTf//53rdGY+nrwcqEgCHVeQtTXX1/7o1q9ejVOnTqF+Ph4pKen45NPPsHMmTPx888/17rNggULoFKpNJ9r164ZtSYiajmq1AJSLt/C3sw8pFy+hSo1p5Qhao7qfWnv/fffx6BBgzBs2DAAwNmzZ/Haa68hPDwc3bt3x8cffwwXFxe8//779dpf+/btYW5urjP6VFhYqDPqVEMul+vtb2FhAQcHh/p+lYf673//i3fffRe7d+/GiBEjAAA9e/ZEZmYmVqxYgeeee07vdtbW1rC2tjZaHUTUMiWcy8fifdnIV5Vq2pxlUkSHeiHE29mElRGRoeo9IpWZmYlnn31Ws/zdd98hICAAX3zxBSIjI7F69Wp8//339T6wlZUV/Pz8kJiYqNWemJiIfv366d0mMDBQp/+hQ4fg7+9v1PujKioqUFFRATMz7dNjbm4OtVpttOMQ0eMn4Vw+ZmzL0ApRAFCgKsWMbRlIOJdvosqISIx6j0j99ddfWiNFycnJCAkJ0Sz36dPH4EtZkZGRmDRpEvz9/REYGIiNGzciNzcX06dPB1B9qSwvLw9bt24FUP2E3po1axAZGYmpU6ciJSUFmzZtwo4dOzT7LC8vR3Z2tubPeXl5yMzMhI2NDTp37gygeo6oS5cuabZRKpXIzMyEvb093NzcYGdnh6CgIMybNw+tWrWCu7s7kpOTsXXrVnz66acGfUciohpVagGL92VD30U8AYAEwOJ92RjiJYe5mXFvVyCihlHvIOXk5ASlUglXV1eUl5cjIyMDixcv1qwvLi42eFRo/PjxuHXrFj744APk5+fD29sb+/fvh7u7OwAgPz8fubm5mv4eHh7Yv38/5syZg7Vr18LFxQWrV6/Wmgvq+vXr8PHx0SyvWLECK1asQFBQEJKSkgAAp0+fxuDBgzV9IiMjAQCTJ0/Gli1bAFSPuC1YsAAvv/wybt++DXd3d3z00UeakEdEZKhU5W2dkaj7CQDyVaVIVd5GYCfj3a5ARA2n3vNITZs2DWfPnkVsbCz27NmDr7/+GtevX4eVlRUAYPv27Vi5ciXS0tIatODmhPNIEdH99mbm4a3vMh/ab9WLvTGqd4eGL4iI9GqQeaSWLFmC0aNHIygoCDY2Nvj66681IQoAvvrqK505noiI6H8cbaVG7UdEplfvIPXEE0/g+PHjUKlUsLGxgbm5udb6H374QfP6GCIi0tXXwx7OMikKVKV675OSAJDLpOjrYd/YpRGRSAZPyCmTyXRCFADY29trjVARETVFppy/ydxMguhQLwDVoel+NcvRoV680ZyoGan3iNSUKVPq1e+rr74SXQwRtUxVagGpytsoLC6Fo231iIspwkJTmL8pxNsZcRN9deqQcx4pomap3jebm5mZwd3dHT4+Pqhrk927dxutuOaON5sTNY3wUlPHjG0ZOpfUauJc3ETfRq2nqYRLItJlyO93vYPUzJkz8d1338HNzQ1TpkzBxIkTYW/P6/h1YZCix11TCS9VagH9Y4/UOvVAzb1JJ6KeYZghIoN+v+t9j9S6deuQn5+PqKgo7Nu3D66urhg3bhwOHjxY5wgVET2eHjb5JFA9+WRj3KNkyPxNRESGMOhmc2tra7z00ktITExEdnY2nnrqKcycORPu7u64e/duQ9VIRM1QUwovhcW11yGmHxFRDYOf2qshkUggkUggCALfP0dEOppSeOH8TUTUUAwKUmVlZdixYweGDBmCrl274uzZs1izZg1yc3M5hxQRaWlK4aVm/qba7n6SoPoGeM7fRESGqneQmjlzJpydnREbG4vnn38ef/zxB3744QcMHz4cZmaiB7aIqIVqSuGF8zcRUUMxaPoDNzc3+Pj4QCKp/R+bXbt2Ga245o5P7dHjruapPQBaN52basqBpjIVAxE1bQ3yrr1XXnmlzgBFRPSgpjb5ZIi3M4Z4yTl/ExEZTb1HpMhwHJEiqsbJJ4moOWmQESkiIrHMzSQI7ORg6jKIiIyOd4kTERERicQgRURERCQSgxQRERGRSAxSRERERCIxSBERERGJxCBFREREJBKDFBEREZFIDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgMUkREREQiMUgRERERiWRh6gKIqGFUqQWkKm+jsLgUjrZS9PWwh7mZxNRlERG1KAxSRC1Qwrl8LN6XjXxVqabNWSZFdKgXQrydTVgZEVHLwkt7RC1Mwrl8zNiWoRWiAKBAVYoZ2zKQcC7fRJUREbU8DFJELUiVWsDifdkQ9KyraVu8LxtVan09iIjIUAxSRC1IqvK2zkjU/QQA+apSpCpvN15RREQtGIMUUQtSWFx7iBLTj4iI6sYgRdSCONpKjdqPiIjqxiBF1IL09bCHs0yK2iY5kKD66b2+HvaNWRYRUYvFIEXUgpibSRAd6gUAOmGqZjk61IvzSRERGQmDFFELE+LtjLiJvpDLtC/fyWVSxE305TxSRERGxAk5iVqgEG9nDPGSc2ZzIqIGxiBF1EKZm0kQ2MnB1GUQEbVovLRHREREJBKDFBEREZFIDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgMUkREREQiMUgRERERicQgRURERCQSgxQRERGRSAxSRERERCIxSBERERGJxCBFREREJJLJg9S6devg4eEBqVQKPz8/HD9+vM7+ycnJ8PPzg1QqhaenJ9avX6+1/vz58xgzZgwUCgUkEglWrlyps49jx44hNDQULi4ukEgk2LNnj95j5eTkYOTIkZDJZLC1tcX//d//ITc3V+xXJSIiohbGpEFq586diIiIwMKFC3HmzBkMGDAAw4YNqzWsKJVKDB8+HAMGDMCZM2fw7rvvYvbs2fjxxx81fUpKSuDp6Ylly5ZBLpfr3c+9e/fQq1cvrFmzptbaLl++jP79+6Nbt25ISkpCVlYWFi1aBKlU+mhfmoiIiFoMiSAIgqkOHhAQAF9fX8TFxWnaunfvjrCwMMTExOj0j4qKQnx8PHJycjRt06dPR1ZWFlJSUnT6KxQKREREICIiotYaJBIJdu/ejbCwMK32F198EZaWlvjmm28M/2L/X1FREWQyGVQqFezs7ETvh4iIiBqPIb/fJhuRKi8vR3p6OoKDg7Xag4ODcfLkSb3bpKSk6PQfOnQoTp8+jYqKCqPVplar8a9//QtPPvkkhg4dCkdHRwQEBNR6CZCIiIgeTyYLUjdv3kRVVRWcnJy02p2cnFBQUKB3m4KCAr39KysrcfPmTaPVVlhYiLt372LZsmUICQnBoUOH8MILL2D06NFITk6udbuysjIUFRVpfYiIiKjlsjB1ARKJRGtZEASdtof119f+KNRqNQBg1KhRmDNnDgCgd+/eOHnyJNavX4+goCC928XExGDx4sVGq4OIiIiaNpONSLVv3x7m5uY6o0+FhYU6o0415HK53v4WFhZwcHAwam0WFhbw8vLSau/evXudT+0tWLAAKpVK87l27ZrRaiIiIqKmx2RBysrKCn5+fkhMTNRqT0xMRL9+/fRuExgYqNP/0KFD8Pf3h6WlpVFr69OnDy5cuKDVfvHiRbi7u9e6nbW1Nezs7LQ+9PipUgtIuXwLezPzkHL5FqrUJnueg4iIGphJL+1FRkZi0qRJ8Pf3R2BgIDZu3Ijc3FxMnz4dQPUIT15eHrZu3Qqg+gm9NWvWIDIyElOnTkVKSgo2bdqEHTt2aPZZXl6O7OxszZ/z8vKQmZkJGxsbdO7cGQBw9+5dXLp0SbONUqlEZmYm7O3t4ebmBgCYN28exo8fj4EDB2Lw4MFISEjAvn37kJSU1BinhpqphHP5WLwvG/mqUk2bs0yK6FAvhHg7m7AyIiJqCCad/gConpBz+fLlyM/Ph7e3Nz777DMMHDgQABAeHo4rV65ohZfk5GTMmTMH58+fh4uLC6KiojTBCwCuXLkCDw8PneMEBQVp9pOUlITBgwfr9Jk8eTK2bNmiWf7qq68QExODP/74A127dsXixYsxatSoen83Tn/weEk4l48Z2zLw4P+hau7ei5voyzBFRNQMGPL7bfIg1ZIxSD0+qtQC+sce0RqJup8EgFwmxYmoZ2BuZrwHI4iIyPiaxTxSRC1JqvJ2rSEKAAQA+apSpCpvN15RRETU4BikiIygsLj2ECWmHxERNQ8MUkRG4Ghbv3cw1rcfERE1DwxSREbQ18MezjIparv7SYLqp/f6etg3ZllERNTAGKSIjMDcTILo0OoJXB8MUzXL0aFevNGciKiFYZAiMpIQb2fETfSFXKZ9+U4uk3LqAyKiFsrk79ojaklCvJ0xxEuOVOVtFBaXwtG2+nIeR6KIiFomBikiIzM3kyCwk/He/UhERE0XL+0RERERicQgRURERCQSgxQRERGRSAxSRERERCIxSBERERGJxCBFREREJBKDFBEREZFIDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgMUkREREQiMUgRERERiWRh6gKIjKFKLSBVeRuFxaVwtJWir4c9zM0kpi6LiIhaOAYpavYSzuVj8b5s5KtKNW3OMimiQ70Q4u1swsqIiKil46U9atYSzuVjxrYMrRAFAAWqUszYloGEc/kmqoyIiB4HDFLUbFWpBSzelw1Bz7qatsX7slGl1teDiIjo0TFIUbOVqrytMxJ1PwFAvqoUqcrbjVcUERE9VhikqNkqLK49RInpR0REZCgGKWq2HG2lRu1HRERkKAYparb6etjDWSZFbZMcSFD99F5fD/vGLIuIiB4jDFLUbJmbSRAd6gUAOmGqZjk61IvzSRERUYNhkKJmLcTbGXETfSGXaV++k8ukiJvoy3mkiIioQXFCTmr2QrydMcRLzpnNiYio0TFIUYtgbiZBYCcHU5dBRESPGV7aIyIiIhKJQYqIiIhIJAYpIiIiIpEYpIiIiIhEYpAiIiIiEolBioiIiEgkBikiIiIikRikiIiIiETihJwkWpVa4GziRET0WGOQIlESzuVj8b5s5KtKNW3OMimiQ734fjsiInps8NIeGSzhXD5mbMvQClEAUKAqxYxtGUg4l2+iyoiIiBoXgxQZpEotYPG+bAh61tW0Ld6XjSq1vh5EREQtC4MUGSRVeVtnJOp+AoB8VSlSlbcbrygiIiITYZAigxQW1x6ixPQjIiJqzhikyCCOtlKj9iMiImrOGKTIIH097OEsk6K2SQ4kqH56r6+HfWOWRUREZBIMUmQQczMJokO9AEAnTNUsR4d6cT4pIiJ6LDBIkcFCvJ0RN9EXcpn25Tu5TIq4ib6cR4qIiB4bnJCTRAnxdsYQLzlnNicioscagxSJZm4mQWAnB1OXQUREZDK8tEdEREQkksmD1Lp16+Dh4QGpVAo/Pz8cP368zv7Jycnw8/ODVCqFp6cn1q9fr7X+/PnzGDNmDBQKBSQSCVauXKmzj2PHjiE0NBQuLi6QSCTYs2dPncecNm1arfsyhSq1gJTLt7A3Mw8pl29xFnEiIiITMWmQ2rlzJyIiIrBw4UKcOXMGAwYMwLBhw5Cbm6u3v1KpxPDhwzFgwACcOXMG7777LmbPno0ff/xR06ekpASenp5YtmwZ5HK53v3cu3cPvXr1wpo1ax5a4549e/Cf//wHLi4u4r6kkSWcy0f/2CN46YtTeOu7TLz0xSn0jz3C99sRERGZgEQQBJMNZwQEBMDX1xdxcXGatu7duyMsLAwxMTE6/aOiohAfH4+cnBxN2/Tp05GVlYWUlBSd/gqFAhEREYiIiKi1BolEgt27dyMsLExnXV5eHgICAnDw4EGMGDHioft6UFFREWQyGVQqFezs7Oq9XW1qXhb84P9gNbd384k5IiKiR2fI77fJRqTKy8uRnp6O4OBgrfbg4GCcPHlS7zYpKSk6/YcOHYrTp0+joqLCqPWp1WpMmjQJ8+bNw1NPPVWvbcrKylBUVKT1MRa+LJiIiKjpMVmQunnzJqqqquDk5KTV7uTkhIKCAr3bFBQU6O1fWVmJmzdvGrW+2NhYWFhYYPbs2fXeJiYmBjKZTPNxdXU1Wj18WTAREVHTY/KbzSUS7XmHBEHQaXtYf33tjyI9PR2rVq3Cli1bDNrvggULoFKpNJ9r164ZrSa+LJiIiKjpMVmQat++PczNzXVGnwoLC3VGnWrI5XK9/S0sLODgYLz5jI4fP47CwkK4ubnBwsICFhYWuHr1KubOnQuFQlHrdtbW1rCzs9P6GAtfFkxERNT0mCxIWVlZwc/PD4mJiVrtiYmJ6Nevn95tAgMDdfofOnQI/v7+sLS0NFptkyZNwi+//ILMzEzNx8XFBfPmzcPBgweNdhxD8GXBRERETY9JZzaPjIzEpEmT4O/vj8DAQGzcuBG5ubmYPn06gOpLZXl5edi6dSuA6if01qxZg8jISEydOhUpKSnYtGkTduzYodlneXk5srOzNX/Oy8tDZmYmbGxs0LlzZwDA3bt3cenSJc02SqUSmZmZsLe3h5ubGxwcHHRGuCwtLSGXy9G1a9cGPSe1qXlZ8IxtGZAAWjed82XBREREpmHSIDV+/HjcunULH3zwAfLz8+Ht7Y39+/fD3d0dAJCfn681p5SHhwf279+POXPmYO3atXBxccHq1asxZswYTZ/r16/Dx8dHs7xixQqsWLECQUFBSEpKAgCcPn0agwcP1vSJjIwEAEyePBlbtmxpwG/8aGpeFrx4X7bWjedymRTRoV6c+oCIiKiRmXQeqZbO2PNI1ahSC3xZMBERUQMx5PebLy1uhviyYCIioqbB5NMfEBERETVXDFJEREREIjFIEREREYnEIEVEREQkEoMUERERkUgMUkREREQiMUgRERERicQgRURERCQSgxQRERGRSJzZvAHVvH2nqKjIxJUQERFRfdX8btfnLXoMUg2ouLgYAODq6mriSoiIiMhQxcXFkMlkdfbhS4sbkFqtxvXr12FrawuJpGW+VLioqAiurq64du2aUV/M3NzxvOjiOdHFc6Ifz4sunhNdDXlOBEFAcXExXFxcYGZW911QHJFqQGZmZujYsaOpy2gUdnZ2/D+3HjwvunhOdPGc6MfzoovnRFdDnZOHjUTV4M3mRERERCIxSBERERGJxCBFj8Ta2hrR0dGwtrY2dSlNCs+LLp4TXTwn+vG86OI50dVUzglvNiciIiISiSNSRERERCIxSBERERGJxCBFREREJBKDFBEREZFIDFJkFDExMZBIJIiIiDB1KSaVl5eHiRMnwsHBAa1bt0bv3r2Rnp5u6rJMqrKyEu+99x48PDzQqlUreHp64oMPPoBarTZ1aY3m2LFjCA0NhYuLCyQSCfbs2aO1XhAEvP/++3BxcUGrVq0waNAgnD9/3jTFNpK6zklFRQWioqLQo0cPtGnTBi4uLnjllVdw/fp10xXcSB72d+V+06ZNg0QiwcqVKxutPlOozznJycnByJEjIZPJYGtri//7v/9Dbm5uo9THIEWPLC0tDRs3bkTPnj1NXYpJ/fXXX3j66adhaWmJAwcOIDs7G5988gnatm1r6tJMKjY2FuvXr8eaNWuQk5OD5cuX4+OPP8bnn39u6tIazb1799CrVy+sWbNG7/rly5fj008/xZo1a5CWlga5XI4hQ4Zo3tfZEtV1TkpKSpCRkYFFixYhIyMDu3btwsWLFzFy5EgTVNq4HvZ3pcaePXvwn//8By4uLo1Umek87JxcvnwZ/fv3R7du3ZCUlISsrCwsWrQIUqm0cQoUiB5BcXGx0KVLFyExMVEICgoS3nrrLVOXZDJRUVFC//79TV1GkzNixAhhypQpWm2jR48WJk6caKKKTAuAsHv3bs2yWq0W5HK5sGzZMk1baWmpIJPJhPXr15ugwsb34DnRJzU1VQAgXL16tXGKagJqOy9//PGH0KFDB+HcuXOCu7u78NlnnzV6baai75yMHz/epP+ecESKHsmsWbMwYsQIPPfcc6YuxeTi4+Ph7++PsWPHwtHRET4+Pvjiiy9MXZbJ9e/fH4cPH8bFixcBAFlZWThx4gSGDx9u4sqaBqVSiYKCAgQHB2varK2tERQUhJMnT5qwsqZFpVJBIpE89iO8arUakyZNwrx58/DUU0+ZuhyTU6vV+Ne//oUnn3wSQ4cOhaOjIwICAuq8JGpsDFIk2nfffYeMjAzExMSYupQm4ffff0dcXBy6dOmCgwcPYvr06Zg9eza2bt1q6tJMKioqCi+99BK6desGS0tL+Pj4ICIiAi+99JKpS2sSCgoKAABOTk5a7U5OTpp1j7vS0lLMnz8fEyZMeOxf2BsbGwsLCwvMnj3b1KU0CYWFhbh79y6WLVuGkJAQHDp0CC+88AJGjx6N5OTkRqnBolGOQi3OtWvX8NZbb+HQoUONdx26iVOr1fD398fSpUsBAD4+Pjh//jzi4uLwyiuvmLg609m5cye2bduGb7/9Fk899RQyMzMREREBFxcXTJ482dTlNRkSiURrWRAEnbbHUUVFBV588UWo1WqsW7fO1OWYVHp6OlatWoWMjAz+3fj/ah5aGTVqFObMmQMA6N27N06ePIn169cjKCiowWvgiBSJkp6ejsLCQvj5+cHCwgIWFhZITk7G6tWrYWFhgaqqKlOX2OicnZ3h5eWl1da9e/dGe3KkqZo3bx7mz5+PF198ET169MCkSZMwZ84cjmT+f3K5HAB0Rp8KCwt1RqkeNxUVFRg3bhyUSiUSExMf+9Go48ePo7CwEG5ubpp/d69evYq5c+dCoVCYujyTaN++PSwsLEz6by9HpEiUZ599FmfPntVqe/XVV9GtWzdERUXB3NzcRJWZztNPP40LFy5otV28eBHu7u4mqqhpKCkpgZmZ9n+zmZubP1bTH9TFw8MDcrkciYmJ8PHxAQCUl5cjOTkZsbGxJq7OdGpC1G+//YajR4/CwcHB1CWZ3KRJk3TuRx06dCgmTZqEV1991URVmZaVlRX69Olj0n97GaRIFFtbW3h7e2u1tWnTBg4ODjrtj4s5c+agX79+WLp0KcaNG4fU1FRs3LgRGzduNHVpJhUaGoqPPvoIbm5ueOqpp3DmzBl8+umnmDJliqlLazR3797FpUuXNMtKpRKZmZmwt7eHm5sbIiIisHTpUnTp0gVdunTB0qVL0bp1a0yYMMGEVTesus6Ji4sL/va3vyEjIwM//fQTqqqqNCN29vb2sLKyMlXZDe5hf1ceDJSWlpaQy+Xo2rVrY5faaB52TubNm4fx48dj4MCBGDx4MBISErBv3z4kJSU1ToEme16QWpzHffoDQRCEffv2Cd7e3oK1tbXQrVs3YePGjaYuyeSKioqEt956S3BzcxOkUqng6ekpLFy4UCgrKzN1aY3m6NGjAgCdz+TJkwVBqJ4CITo6WpDL5YK1tbUwcOBA4ezZs6YtuoHVdU6USqXedQCEo0ePmrr0BvWwvysPehymP6jPOdm0aZPQuXNnQSqVCr169RL27NnTaPVJBEEQGieyEREREbUsvNmciIiISCQGKSIiIiKRGKSIiIiIRGKQIiIiIhKJQYqIiIhIJAYpIiIiIpEYpIiIiIhEYpAiInrAv//9b/To0QOWlpYICwtrsOO8//776N27d4Pt35jCw8MNOhdXrlyBRCJBZmZmg9VE1BQwSBGRjvDwcEgkEkgkElhaWsLJyQlDhgzBV1999Vi8Iy8yMhK9e/eGUqnEli1bTF1Ok7Bq1SqeCyI9GKSISK+QkBDk5+fjypUrOHDgAAYPHoy33noLzz//PCorKxv02OXl5Q26/4e5fPkynnnmGXTs2BFt27Y1aS1NhUwm47kg0oNBioj0sra2hlwuR4cOHeDr64t3330Xe/fuxYEDB7RGJlQqFf7+97/D0dERdnZ2eOaZZ5CVlaW1ryVLlsDR0RG2trZ4/fXXMX/+fK1LWjWXjWJiYuDi4oInn3wSAJCXl4fx48ejXbt2cHBwwKhRo3DlyhWtfW/evBndu3eHVCpFt27dsG7dujq/V1lZGWbPng1HR0dIpVL0798faWlpAP53OerWrVuYMmUKJBJJraMwCoUCH374ISZMmAAbGxu4uLjg888/1+qTm5uLUaNGwcbGBnZ2dhg3bhz+/PNPvfs7duwYLC0tNS/nrTF37lwMHDgQALBlyxa0bdsWBw8eRPfu3WFjY6MJvDXUajU++OADdOzYEdbW1ujduzcSEhI062u+4/fff48BAwagVatW6NOnDy5evIi0tDT4+/tr9nvjxg3Ndg9e2ktISED//v3Rtm1bODg44Pnnn8fly5frPPdELRGDFBHV2zPPPINevXph165dAABBEDBixAgUFBRg//79SE9Ph6+vL5599lncvn0bALB9+3Z89NFHiI2NRXp6Otzc3BAXF6ez78OHDyMnJweJiYn46aefUFJSgsGDB8PGxgbHjh3DiRMnND/wNSNWX3zxBRYuXIiPPvoIOTk5WLp0KRYtWoSvv/661u/wzjvv4Mcff8TXX3+NjIwMdO7cGUOHDsXt27fh6uqK/Px82NnZYeXKlcjPz8f48eNr3dfHH3+Mnj17IiMjAwsWLMCcOXOQmJioOTdhYWG4ffs2kpOTkZiYiMuXL9e6v4EDB8LT0xPffPONpq2yshLbtm3Dq6++qmkrKSnBihUr8M033+DYsWPIzc3F22+/rVm/atUqfPLJJ1ixYgV++eUXDB06FCNHjsRvv/2mdbzo6Gi89957yMjIgIWFBV566SW88847WLVqFY4fP47Lly/jH//4R63f/d69e4iMjERaWhoOHz4MMzMzvPDCC4/FpV8iLY32emQiajYmT54sjBo1Su+68ePHC927dxcEQRAOHz4s2NnZCaWlpVp9OnXqJGzYsEEQBEEICAgQZs2apbX+6aefFnr16qV1PCcnJ6GsrEzTtmnTJqFr166CWq3WtJWVlQmtWrUSDh48KAiCILi6ugrffvut1r4//PBDITAwUG/td+/eFSwtLYXt27dr2srLywUXFxdh+fLlmjaZTCZs3rxZ7z5quLu7CyEhIVpt48ePF4YNGyYIgiAcOnRIMDc3F3JzczXrz58/LwAQUlNTBUEQhOjoaK3zEBsbqzm3giAIe/bsEWxsbIS7d+8KgiAImzdvFgAIly5d0vRZu3at4OTkpFl2cXERPvroI626+vTpI8ycOVMQBEFQKpUCAOHLL7/UrN+xY4cAQDh8+LCmLSYmRujatatmua6/E4IgCIWFhQIA4ezZs1rHOXPmTK3bELUEHJEiIoMIggCJRAIASE9Px927d+Hg4AAbGxvNR6lUai7zXLhwAX379tXax4PLANCjRw9YWVlpltPT03Hp0iXY2tpq9mtvb4/S0lJcvnwZN27cwLVr1/Daa69pHXvJkiW1XmK6fPkyKioq8PTTT2vaLC0t0bdvX+Tk5Bh8LgIDA3WWa/aTk5MDV1dXuLq6atZ7eXmhbdu2tR4rPDwcly5dwqlTpwAAX331FcaNG4c2bdpo+rRu3RqdOnXSLDs7O6OwsBAAUFRUhOvXr2t9PwB4+umndY7Zs2dPzZ+dnJwAVP9vcH9bzX71uXz5MiZMmABPT0/Y2dnBw8MDQPXlTKLHiYWpCyCi5iUnJ0fzo6lWq+Hs7IykpCSdfvffmFwTvGoIgqDT//6wULNvPz8/bN++XafvE088gdLSUgDVl/cCAgK01pubm+utvea4+up5sE2smv3Uts+6juXo6IjQ0FBs3rwZnp6e2L9/v865tbS01Dneg+ezPt/v/v3UrHuwra7LdKGhoXB1dcUXX3wBFxcXqNVqeHt7m/xBAaLGxiBFRPV25MgRnD17FnPmzAEA+Pr6oqCgABYWFlAoFHq36dq1K1JTUzFp0iRN2+nTpx96LF9fX+zcuVNzE/uDZDIZOnTogN9//x0vv/xyverv3LkzrKyscOLECUyYMAEAUFFRgdOnTyMiIqJe+7hfzcjR/cvdunUDUD36lJubi2vXrmlGpbKzs6FSqdC9e/da9/n666/jxRdfRMeOHdGpUyed0aW62NnZwcXFBSdOnNDcoA4AJ0+e1DsKKNatW7eQk5ODDRs2YMCAAQCAEydOGG3/RM0JgxQR6VVWVoaCggJUVVXhzz//REJCAmJiYvD888/jlVdeAQA899xzCAwMRFhYGGJjY9G1a1dcv34d+/fvR1hYGPz9/fHmm29i6tSp8Pf3R79+/bBz50788ssv8PT0rPP4L7/8Mj7++GOMGjVK8xRabm4udu3ahXnz5qFjx454//33MXv2bNjZ2WHYsGEoKyvD6dOn8ddffyEyMlJnn23atMGMGTMwb9482Nvbw83NDcuXL0dJSQlee+01g8/Rv//9byxfvhxhYWFITEzEDz/8gH/961+ac9OzZ0+8/PLLWLlyJSorKzFz5kwEBQXB39+/1n0OHToUMpkMS5YswQcffGBwTfPmzUN0dDQ6deqE3r17Y/PmzcjMzNQ7sidWzVOUGzduhLOzM3JzczF//nyj7Z+oOWGQIiK9EhIS4OzsDAsLC7Rr1w69evXC6tWrMXnyZJiZVd9eKZFIsH//fixcuBBTpkzBjRs3IJfLMXDgQM19Ny+//DJ+//13vP322ygtLcW4ceMQHh6O1NTUOo/funVrHDt2DFFRURg9ejSKi4vRoUMHPPvss5oRqtdffx2tW7fGxx9/jHfeeQdt2rRBjx496hxdWrZsGdRqNSZNmoTi4mL4+/vj4MGDaNeuncHnaO7cuUhPT8fixYtha2uLTz75BEOHDtWcmz179uDNN9/EwIEDYWZmhpCQEJ0pEh5kZmaG8PBwLF26VBNYDTF79mwUFRVh7ty5KCwshJeXF+Lj49GlSxeD91VXjd999x1mz54Nb29vdO3aFatXr8agQYOMdgyi5kIi6LtZgYioAQ0ZMgRyuVzrUf/mRqFQICIiQtQlwYeZOnUq/vzzT8THxxt930RkXByRIqIGVVJSgvXr12Po0KEwNzfHjh078PPPP2vmW6L/UalUSEtLw/bt27F3715Tl0NE9cAgRUQNquby35IlS1BWVoauXbvixx9/xHPPPWfq0pqcUaNGITU1FdOmTcOQIUNMXQ4R1QMv7RERERGJxAk5iYiIiERikCIiIiISiUGKiIiISCQGKSIiIiKRGKSIiIiIRGKQIiIiIhKJQYqIiIhIJAYpIiIiIpEYpIiIiIhE+n+xIoTLBTFKIgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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OhI5jTW0rDuagvkFXhGGw0CIiIqIuIU1ZqjWSdSMBoFBVhTRlabvlxEKLiIiIuoTi8uaLrNuJawsstIiIiKhL6Ndb1qZxbYGFFhEREXUJo1ysYS+XoblNHCRovPtwlIt1u+XEQouIiIi6BFMTCaKD3ABAq9hqeh8d5Nau+2mx0CIiIqI2U98gkHrxKr7KykfqxavteocfAAS42yNuricUcs3pQYVchri5nu2+jxY3LCUiIqI20VE2Cg1wt8ckN0WH2BleIoRo31KTNJSVlUEul0OlUsHKysrY6RAREd2Wpo1Cby4qmkobY4wmGZK+v9+cOiQiIqI70hE3Cu0oWGgRERHRHemIG4V2FCy0iIiI6I50xI1COwoWWkRERHRHOuJGoR0FCy0iIiK6Ix1xo9COgoUWERER3ZGOuFFoR8FCi4iIiO5YR9sotKPghqVERETUJjrSRqEdBQstIiIiajOmJhL4DLQxdhodBqcOiYiIiAyEhRYRERGRgRi90Nq4cSNcXFwgk8ng5eWF48ePtxifkpICLy8vyGQyuLq6YtOmTRrHz549ixkzZsDZ2RkSiQTr16/X6uPYsWMICgqCg4MDJBIJ9u/fr3G8trYWkZGRGD58OHr16gUHBwc8/fTTKCgo0JmTEAKBgYE6+yIiIqLuy6iFVnx8PMLDw7Fs2TJkZmbC19cXgYGByMvL0xmvVCoxefJk+Pr6IjMzE0uXLsWiRYuwZ88edUxlZSVcXV2xevVqKBQKnf1UVFRgxIgRiI2N1Xm8srISGRkZeOONN5CRkYG9e/fi/PnzmDp1qs749evXQyLpvgv9iIiISDeJEMJoT3gcPXo0PD09ERcXp24bNmwYgoODERMToxUfGRmJAwcOIDc3V90WFhaG7OxspKamasU7OzsjPDwc4eHhzeYgkUiwb98+BAcHt5hreno6Ro0ahcuXL8PJyUndnp2djSlTpiA9PR329vZ69XUjfZ/+TURERB2Hvr/fRhvRqqmpwalTp+Dn56fR7ufnhxMnTug8JzU1VSve398fJ0+eRG1trcFyBQCVSgWJRII+ffqo2yorK/Hkk08iNja22dEzIiIi6r6Mtr1DSUkJ6uvrYWdnp9FuZ2eHoqIinecUFRXpjK+rq0NJSQns7Q2zGVpVVRWioqIwZ84cjap18eLFGDNmDKZNm6Z3X9XV1aiurla/Lysra9NciYiIqOMw+j5aN69tEkK0uN5JV7yu9rZSW1uLJ554Ag0NDdi4caO6/cCBAzh69CgyMzNb1V9MTAxWrFjR1mkSERFRB2S0qUNbW1uYmppqjV4VFxdrjVo1USgUOuPNzMxgY9P2m6PV1tZi1qxZUCqVSExM1BjNOnr0KC5evIg+ffrAzMwMZmaNNeuMGTMwceLEZvtcsmQJVCqV+nXlypU2z5uIiIg6BqONaEmlUnh5eSExMRGPPfaYuj0xMbHZqTgfHx8cPHhQo+3IkSPw9vaGubl5m+bXVGT98ssvSEpK0irkoqKi8Nxzz2m0DR8+HOvWrUNQUFCz/VpYWMDCwqJNcyUiIqKOyahThxEREQgJCYG3tzd8fHywefNm5OXlISwsDEDj6E9+fj527NgBoPEOw9jYWERERGDBggVITU3Fli1bsGvXLnWfNTU1yMnJUf85Pz8fWVlZsLS0xKBBgwAA169fx4ULF9TnKJVKZGVlwdraGk5OTqirq8Pjjz+OjIwMHDp0CPX19eqRNGtra0ilUigUCp0L4J2cnODi4mKYC0ZERESdizCyDRs2iAEDBgipVCo8PT1FSkqK+lhoaKiYMGGCRnxycrLw8PAQUqlUODs7i7i4OI3jSqVSANB63dhPUlKSzpjQ0NAW+wAgkpKSmv0uAMS+ffta9f1VKpUAIFQqVavOIyIiIuPR9/fbqPtoEffRIiIi6ow6/D5aRERERF0dCy0iIiIiAzH6PlpERER0Z+obBNKUpSgur0K/3jKMcrGGqQmfwdsRsNAiIiLqxBLOFGLFwRwUqqrUbfZyGaKD3BDgbpgnppD+OHVIRETUSSWcKcTzOzM0iiwAKFJV4fmdGUg4U2ikzKgJCy0iIqJOqL5BYMXBHOjaOqCpbcXBHNQ3cHMBY2KhRURE1AmlKUu1RrJuJAAUqqqQpixtv6RICwstIiKiTqi4vPki63biyDBYaBEREXVC/XrL2jSODIOFFhERUSc0ysUa9nIZmtvEQYLGuw9HuVi3Z1p0ExZaREREnZCpiQTRQW4AoFVsNb2PDnLjflpGxkKLiIiokwpwt0fcXE8o5JrTgwq5DHFzPbmPVgfADUuJiIg6sQB3e0xyU3Bn+A6KhRYREVEnZ2oigc9AG2OnQTpw6pCIiIjIQFhoERERERkICy0iIiIiA2GhRURERGQgLLSIiIiIDISFFhEREZGBcHsHIiKi21DfILh3Fd0SCy0iIqJWSjhTiBUHc1CoqlK32ctliA5y427spIFTh0RERK2QcKYQz+/M0CiyAKBIVYXnd2Yg4UyhkTKjjoiFFhERkZ7qGwRWHMyB0HGsqW3FwRzUN+iKoO6IhRYREZGe0pSlWiNZNxIAClVVSFOWtl9S1KGx0CIiItJTcXnzRdbtxFHXx0KLiIhIT/16y9o0jro+FlpERER6GuViDXu5DM1t4iBB492Ho1ys2zMt6sBYaBEREenJ1ESC6CA3ANAqtpreRwe5cT8tUmOhRURE1AoB7vaIm+sJhVxzelAhlyFurif30SINRi+0Nm7cCBcXF8hkMnh5eeH48eMtxqekpMDLywsymQyurq7YtGmTxvGzZ89ixowZcHZ2hkQiwfr167X6OHbsGIKCguDg4ACJRIL9+/drHK+trUVkZCSGDx+OXr16wcHBAU8//TQKCgrUMaWlpXjxxRcxZMgQ9OzZE05OTli0aBFUKtVtXwsiIuocAtzt8X3kQ9i14AG8/8RI7FrwAL6PfIhFFmkxaqEVHx+P8PBwLFu2DJmZmfD19UVgYCDy8vJ0xiuVSkyePBm+vr7IzMzE0qVLsWjRIuzZs0cdU1lZCVdXV6xevRoKhUJnPxUVFRgxYgRiY2N1Hq+srERGRgbeeOMNZGRkYO/evTh//jymTp2qjikoKEBBQQHeeecdnD59Gtu2bUNCQgKeffbZO7giRETUWZiaSOAz0AbTRvaHz0AbTheSThIhhNF2VRs9ejQ8PT0RFxenbhs2bBiCg4MRExOjFR8ZGYkDBw4gNzdX3RYWFobs7GykpqZqxTs7OyM8PBzh4eHN5iCRSLBv3z4EBwe3mGt6ejpGjRqFy5cvw8nJSWfMl19+iblz56KiogJmZvo93aisrAxyuRwqlQpWVlZ6nUNERETGpe/vt9FGtGpqanDq1Cn4+flptPv5+eHEiRM6z0lNTdWK9/f3x8mTJ1FbW2uwXAFApVJBIpGgT58+LcZYWVnpXWQRERFR12a0iqCkpAT19fWws7PTaLezs0NRUZHOc4qKinTG19XVoaSkBPb2hpkbr6qqQlRUFObMmdNs1Xr16lW8+eabWLhwYYt9VVdXo7q6Wv2+rKysTXMlIiKijsPoi+ElEs05bSGEVtut4nW1t5Xa2lo88cQTaGhowMaNG3XGlJWV4dFHH4Wbmxuio6Nb7C8mJgZyuVz9cnR0NETaRERE1AEYrdCytbWFqamp1uhVcXGx1qhVE4VCoTPezMwMNjY2bZ5jbW0tZs2aBaVSicTERJ2jWeXl5QgICIClpSX27dsHc3PzFvtcsmQJVCqV+nXlypU2z5uIiIg6BqMVWlKpFF5eXkhMTNRoT0xMxJgxY3Se4+PjoxV/5MgReHt737LAaa2mIuuXX37Bt99+q7OQKysrg5+fH6RSKQ4cOACZ7NaPXLCwsICVlZXGi4iIiLomo67ajoiIQEhICLy9veHj44PNmzcjLy8PYWFhABpHf/Lz87Fjxw4AjXcYxsbGIiIiAgsWLEBqaiq2bNmCXbt2qfusqalBTk6O+s/5+fnIysqCpaUlBg0aBAC4fv06Lly4oD5HqVQiKysL1tbWcHJyQl1dHR5//HFkZGTg0KFDqK+vV4+kWVtbQyqVory8HH5+fqisrMTOnTtRVlamXm911113wdTU1PAXkIiIiDo2YWQbNmwQAwYMEFKpVHh6eoqUlBT1sdDQUDFhwgSN+OTkZOHh4SGkUqlwdnYWcXFxGseVSqUAoPW6sZ+kpCSdMaGhoS32AUAkJSW12AcAoVQq9f7+KpVKABAqlao1l42IiIiMSN/fb6Puo0XcR4uIqLXqGwTSlKUoLq9Cv96ND3DmZqHU3vT9/eaGT0RE1GkknCnEioM5KFRVqdvs5TJEB7nx8TfUIRl9ewciIiJ9JJwpxPM7MzSKLAAoUlXh+Z0ZSDhTaKTMiJrHQouIiDq8+gaBFQdzoGutS1PbioM5qG/gahjqWFhoERFRh5emLNUaybqRAFCoqkKasrT9kiLSAwstIiLq8IrLmy+ybieOqL2w0CIiog6vX+9bbwjdmjii9sJCi4iIOrxRLtawl8vQ3CYOEjTefTjKxbo90yK6JRZaRETU4ZmaSBAd5AYAWsVW0/voIDfup0UdDgstIiLqFALc7RE31xMKueb0oEIuQ9xcT+6jRR0SNywlIqJOI8DdHpPcFNwZnjoNFlpERNSpmJpI4DPQxthpEOmFU4dEREREBsJCi4iIiMhAWGgRERERGQgLLSIiIiIDYaFFREREZCAstIiIiIgMhIUWERERkYGw0CIiIiIyEBZaRERERAbCQouIiIjIQFhoERERERkICy0iIiIiA+FDpYmI6JbqGwTSlKUoLq9Cv94yjHKxhqmJxNhpEXV4LLSIiKhFCWcKseJgDgpVVeo2e7kM0UFuCHC3N2JmRB0fpw6JiKhZCWcK8fzODI0iCwCKVFV4fmcGEs4UGikzos6BhRYREelU3yCw4mAOhI5jTW0rDuagvkFXBBEBLLSIiKgZacpSrZGsGwkAhaoqpClL2y8pok6GhRYREelUXN58kXU7cUTdEQstIiLSqV9vWZvGEXVHLLSIiEinUS7WsJfL0NwmDhI03n04ysW6PdMi6lSMXmht3LgRLi4ukMlk8PLywvHjx1uMT0lJgZeXF2QyGVxdXbFp0yaN42fPnsWMGTPg7OwMiUSC9evXa/Vx7NgxBAUFwcHBARKJBPv379c4Xltbi8jISAwfPhy9evWCg4MDnn76aRQUFGjEVVdX48UXX4StrS169eqFqVOn4rfffrut60BE1NGYmkgQHeQGAFrFVtP76CA37qdF1AKjFlrx8fEIDw/HsmXLkJmZCV9fXwQGBiIvL09nvFKpxOTJk+Hr64vMzEwsXboUixYtwp49e9QxlZWVcHV1xerVq6FQKHT2U1FRgREjRiA2Nlbn8crKSmRkZOCNN95ARkYG9u7di/Pnz2Pq1KkaceHh4di3bx92796N77//HtevX8eUKVNQX19/m1eEiKhjCXC3R9xcTyjkmtODCrkMcXM9uY8W0a0IIxo1apQICwvTaBs6dKiIiorSGf/aa6+JoUOHarQtXLhQPPDAAzrjBwwYINatW9diDgDEvn37bplrWlqaACAuX74shBDi2rVrwtzcXOzevVsdk5+fL0xMTERCQsIt+2uiUqkEAKFSqfQ+h4iovdXVN4gTF0rE/szfxIkLJaKuvsHYKREZlb6/30Yb0aqpqcGpU6fg5+en0e7n54cTJ07oPCc1NVUr3t/fHydPnkRtba3BcgUAlUoFiUSCPn36AABOnTqF2tpajXwcHBzg7u7ebP5A43RjWVmZxouIqKMzNZHAZ6ANpo3sD5+BNpwuJNKT0QqtkpIS1NfXw87OTqPdzs4ORUVFOs8pKirSGV9XV4eSkhKD5VpVVYWoqCjMmTMHVlZW6lykUin69u2rlU9z+QNATEwM5HK5+uXo6GiwvImIiMi4jL4YXiLR/K8iIYRW263idbW3ldraWjzxxBNoaGjAxo0bbxl/q/yXLFkClUqlfl25cqUt0yUiIqIOxGiFlq2tLUxNTbVGf4qLi7VGrZooFAqd8WZmZrCxsWnzHGtrazFr1iwolUokJiaqR7OacqmpqcGff/6pd/4AYGFhASsrK40XERERdU1GK7SkUim8vLyQmJio0Z6YmIgxY8boPMfHx0cr/siRI/D29oa5uXmb5tdUZP3yyy/49ttvtQo5Ly8vmJuba+RTWFiIM2fONJs/ERERdS9mxvzwiIgIhISEwNvbGz4+Pti8eTPy8vIQFhYGoHGaLT8/Hzt27AAAhIWFITY2FhEREViwYAFSU1OxZcsW7Nq1S91nTU0NcnJy1H/Oz89HVlYWLC0tMWjQIADA9evXceHCBfU5SqUSWVlZsLa2hpOTE+rq6vD4448jIyMDhw4dQn19vXokzdraGlKpFHK5HM8++yxefvll2NjYwNraGq+88gqGDx+ORx55pF2uHxEREXVw7XELZEs2bNggBgwYIKRSqfD09BQpKSnqY6GhoWLChAka8cnJycLDw0NIpVLh7Ows4uLiNI4rlUqBxmedarxu7CcpKUlnTGhoaIt9ABBJSUnqfv766y/xj3/8Q1hbW4sePXqIKVOmiLy8vFZ9f27vQERE1Pno+/stEeL/VpPrydXVFenp6VpTadeuXYOnpyd+/fXXOyj7up+ysjLI5XKoVCqu1yIiIuok9P39bvUarUuXLunc+by6uhr5+fmt7Y6IiIioy9J7jdaBAwfUf/7mm28gl8vV7+vr6/Hdd9/B2dm5TZMjIiIi6sz0LrSCg4MBNO5XFRoaqnHM3Nwczs7OePfdd9s0OSIiIqLOTO9Cq6GhAQDg4uKC9PR02NraGiwpIiIioq6g1ds7KJVKrbZr166pnwFIRERERI1avRh+zZo1iI+PV7+fOXMmrK2t0b9/f2RnZ7dpckRERESdWasLrY8++kj9IOTExER8++23SEhIQGBgIF599dU2T5CIiIios2r11GFhYaG60Dp06BBmzZoFPz8/ODs7Y/To0W2eIBEREVFn1eoRrb59++LKlSsAgISEBPXjZoQQOvfXIiIiIuquWj2iNX36dMyZMweDBw/G1atXERgYCADIyspSP0uQiIiIiG6j0Fq3bh2cnZ1x5coVrF27FpaWlgAapxRfeOGFNk+QiIiIqLNq9bMOqW3xWYdERESdj8GedQgAn332GcaNGwcHBwdcvnwZALB+/Xp89dVXt5ctERERURfU6kIrLi4OERERCAwMxLVr19QL4Pv06YP169e3dX5EREREnVarC60PP/wQH3/8MZYtWwZTU1N1u7e3N06fPt2myRERERF1Zq0utJRKJTw8PLTaLSwsUFFR0SZJEREREXUFrS60XFxckJWVpdV++PBhuLm5tUVORERERF1Cq7d3ePXVV/H3v/8dVVVVEEIgLS0Nu3btQkxMDD755BND5EhERETUKbW60Jo/fz7q6urw2muvobKyEnPmzEH//v3x/vvv44knnjBEjkRERESd0h3to1VSUoKGhgb069evLXPqVriPFhERUedjsH20HnroIVy7dg0AYGtrqy6yysrK8NBDD91etkRERERdUKsLreTkZNTU1Gi1V1VV4fjx422SFBEREVFXoPcarZ9++kn955ycHBQVFanf19fXIyEhAf3792/b7IiIiIg6Mb0LrZEjR0IikUAikeicIuzRowc+/PDDNk2OiIiIqDPTu9BSKpUQQsDV1RVpaWm466671MekUin69eunsVM8ERERUXend6E1YMAAAEBDQ4PBkiEiIiLqSlq9GJ6IiIiI9MNCi4iIiMhAWGgRERERGQgLLSIiIiIDaXWh5erqiqtXr2q1X7t2Da6urq1OYOPGjXBxcYFMJoOXl9ctNz1NSUmBl5cXZDIZXF1dsWnTJo3jZ8+exYwZM+Ds7AyJRIL169dr9XHs2DEEBQXBwcEBEokE+/fv14rZu3cv/P39YWtrC4lEgqysLK2YoqIihISEQKFQoFevXvD09MR//vOf1nx9IiIi6sJaXWhdunQJ9fX1Wu3V1dXIz89vVV/x8fEIDw/HsmXLkJmZCV9fXwQGBiIvL09nvFKpxOTJk+Hr64vMzEwsXboUixYtwp49e9QxlZWVcHV1xerVq6FQKHT2U1FRgREjRiA2NrbZ3CoqKjB27FisXr262ZiQkBCcO3cOBw4cwOnTpzF9+nTMnj0bmZmZel4BIiIi6sr0fqj0gQMHAADBwcHYvn075HK5+lh9fT2+++47JCYm4ty5c3p/+OjRo+Hp6Ym4uDh127BhwxAcHIyYmBit+MjISBw4cAC5ubnqtrCwMGRnZyM1NVUr3tnZGeHh4QgPD282B4lEgn379iE4OFjn8UuXLsHFxQWZmZkYOXKkxjFLS0vExcUhJCRE3WZjY4O1a9fi2WefbfYzb8SHShMREXU++v5+672PVlMhIpFIEBoaqnHM3Nwczs7OePfdd/VOsKamBqdOnUJUVJRGu5+fH06cOKHznNTUVPj5+Wm0+fv7Y8uWLaitrYW5ubnen98Wxo0bh/j4eDz66KPo06cPvvjiC1RXV2PixInNnlNdXY3q6mr1+7KysnbIlIiIiIxB70KraaNSFxcXpKenw9bW9o4+uKSkBPX19bCzs9Not7Oz03iO4o2Kiop0xtfV1aGkpAT29vZ3lFNrxcfHY/bs2bCxsYGZmRl69uyJffv2YeDAgc2eExMTgxUrVrRjlkRERGQsrV6jpVQqtYqsa9eu3XYCEolE470QQqvtVvG62tvD66+/jj///BPffvstTp48iYiICMycOROnT59u9pwlS5ZApVKpX1euXGnHjImIiKg9tbrQWrNmDeLj49XvZ86cCWtra/Tv3x/Z2dl692NrawtTU1Ot0avi4mKtUasmCoVCZ7yZmRlsbGxa8S3u3MWLFxEbG4tPP/0UDz/8MEaMGIHo6Gh4e3tjw4YNzZ5nYWEBKysrjRcRERF1Ta0utD766CM4OjoCABITE/Htt98iISEBgYGBePXVV/XuRyqVwsvLC4mJiRrtiYmJGDNmjM5zfHx8tOKPHDkCb2/vdl+fVVlZCQAwMdG8hKampnweJBEREQFoxRqtJoWFhepC69ChQ5g1axb8/Pzg7OyM0aNHt6qviIgIhISEwNvbGz4+Pti8eTPy8vIQFhYGoHGaLT8/Hzt27ADQeIdhbGwsIiIisGDBAqSmpmLLli3YtWuXus+amhrk5OSo/5yfn4+srCxYWlpi0KBBAIDr16/jwoUL6nOUSiWysrJgbW0NJycnAEBpaSny8vJQUFAAAOq7KRUKBRQKBYYOHYpBgwZh4cKFeOedd2BjY4P9+/cjMTERhw4dau1lJSIioq5ItJK9vb344YcfhBBC3HPPPeKLL74QQgjx888/i969e7e2O7FhwwYxYMAAIZVKhaenp0hJSVEfCw0NFRMmTNCIT05OFh4eHkIqlQpnZ2cRFxencVypVAoAWq8b+0lKStIZExoaqo7ZunWrzpjo6Gh1zPnz58X06dNFv379RM+ePcV9990nduzY0arvr1KpBAChUqladR4REREZj76/33rvo9XkH//4Bw4dOoTBgwcjMzMTly5dgqWlJeLj47FmzRpkZGS0UQnYPXAfLSIios6nzffRarJu3To4OzvjypUrWLt2LSwtLQE0Tim+8MILt58xERERURfT6hEtalsc0SIiIup8DDaiBQDnz59HcnIyiouLte6w++c//3k7XRIRERF1Oa0utD7++GM8//zzsLW1hUKh0NgoVCKRsNAiIiIi+j+tLrRWrlyJt956C5GRkYbIh4iIiKjLaPWGpX/++SdmzpxpiFyIiIiIupRWF1ozZ87EkSNHDJELERERUZfS6qnDQYMG4Y033sCPP/6I4cOHaz36ZtGiRW2WHBEREVFn1urtHVxcXJrvTCLBr7/+esdJdSfc3oGIiKjzMdj2Dkql8o4SIyIiIuouWr1Gi4iIiIj0o9eIVkREBN5880306tULERERLca+9957bZIYERERUWenV6GVmZmJ2tpa9Z+bc+PmpURERETdHZ91aGRcDE9ERNT56Pv7zTVaRERERAZyWw+VTk9Px5dffom8vDzU1NRoHNu7d2+bJEZERETU2bV6RGv37t0YO3YscnJysG/fPtTW1iInJwdHjx6FXC43RI5EREREnVKrC61Vq1Zh3bp1OHToEKRSKd5//33k5uZi1qxZcHJyMkSORERERJ1Sqwutixcv4tFHHwUAWFhYoKKiAhKJBIsXL8bmzZvbPEEiIiKizqrVhZa1tTXKy8sBAP3798eZM2cAANeuXUNlZWXbZkdERETUibV6Mbyvry8SExMxfPhwzJo1Cy+99BKOHj2KxMREPPzww4bIkYiIiKhTanWhFRsbi6qqKgDAkiVLYG5uju+//x7Tp0/HG2+80eYJEhEREXVW3LDUyLhhKRERUeej7+93q0e0ysrKdLZLJBJYWFhAKpW2tksiIiKiLqnVhVafPn1afKbh3XffjXnz5iE6OhomJtx4noiIiLqvVhda27Ztw7JlyzBv3jyMGjUKQgikp6dj+/bteP311/HHH3/gnXfegYWFBZYuXWqInImIiIg6hVYXWtu3b8e7776LWbNmqdumTp2K4cOH46OPPsJ3330HJycnvPXWWyy0iIiIqFtr9dxeamoqPDw8tNo9PDyQmpoKABg3bhzy8vLuPDsiIiKiTqzVhdbdd9+NLVu2aLVv2bIFjo6OAICrV6+ib9++d54dERERUSfW6qnDd955BzNnzsThw4dx//33QyKRID09HT///DP+85//AADS09Mxe/bsNk+WiIiIqDNp9YjW1KlTcf78eUyePBmlpaUoKSlBYGAgfv75Z0yZMgUA8Pzzz+O9997Tq7+NGzfCxcUFMpkMXl5eOH78eIvxKSkp8PLygkwmg6urKzZt2qRx/OzZs5gxYwacnZ0hkUiwfv16rT6OHTuGoKAgODg4QCKRYP/+/Voxe/fuhb+/P2xtbSGRSJCVlaUzn9TUVDz00EPo1asX+vTpg4kTJ+Kvv/7S67sTERFR19bqES0AGDBgAGJiYu74w+Pj4xEeHo6NGzdi7Nix+OijjxAYGIicnBw4OTlpxSuVSkyePBkLFizAzp078cMPP+CFF17AXXfdhRkzZgAAKisr4erqipkzZ2Lx4sU6P7eiogIjRozA/Pnz1efpihk7dixmzpyJBQsW6IxJTU1FQEAAlixZgg8//BBSqRTZ2dnc1oKIiIgA3MHO8JWVlcjLy0NNTY1G+3333ad3H6NHj4anpyfi4uLUbcOGDUNwcLDOQi4yMhIHDhxAbm6uui0sLAzZ2dnqhfg3cnZ2Rnh4OMLDw5vNQSKRYN++fQgODtZ5/NKlS3BxcUFmZiZGjhypceyBBx7ApEmT8Oabb7b8RVvAneGJOp76BoE0ZSmKy6vQr7cMo1ysYWrS/P6BRNT9GGxn+D/++APz58/H4cOHdR6vr6/Xq5+amhqcOnUKUVFRGu1+fn44ceKEznNSU1Ph5+en0ebv748tW7agtrYW5ubmen12WyguLsb//vc/PPXUUxgzZgwuXryIoUOH4q233sK4ceOaPa+6uhrV1dXq983ttE9ExpFwphArDuagUFWlbrOXyxAd5IYAd3sjZkZEnVGr57jCw8Px559/4scff0SPHj2QkJCA7du3Y/DgwThw4IDe/ZSUlKC+vh52dnYa7XZ2digqKtJ5TlFRkc74uro6lJSUtPar3JFff/0VALB8+XIsWLAACQkJ8PT0xMMPP4xffvml2fNiYmIgl8vVr6Y7NYnI+BLOFOL5nRkaRRYAFKmq8PzODCScKTRSZkTUWbW60Dp69CjWrVuH+++/HyYmJhgwYADmzp2LtWvX3ta6rZsf5yOEaPERP7ridbUbWkNDAwBg4cKFmD9/Pjw8PLBu3ToMGTIEn376abPnLVmyBCqVSv26cuVKe6VMRC2obxBYcTAHutZSNLWtOJiD+obbWm1BRN1Uq6cOKyoq0K9fPwCAtbU1/vjjD9xzzz0YPnw4MjIy9O7H1tYWpqamWqNXxcXFWqNWTRQKhc54MzMz2NjYtPKb3Bl7+8YpBDc3N432YcOGtbhZq4WFBSwsLAyaGxG1XpqyVGsk60YCQKGqCmnKUvgMbJ9/b7hWjKjza3WhNWTIEJw7dw7Ozs4YOXIkPvroIzg7O2PTpk3q4kMfUqkUXl5eSExMxGOPPaZuT0xMxLRp03Se4+Pjg4MHD2q0HTlyBN7e3u26PgtoXGjv4OCAc+fOabSfP38egYGB7ZoLEd254vLmi6zbibtTXCtG1DW0utAKDw9HYWHjOoXo6Gj4+/vj888/h1QqxbZt21rVV0REBEJCQuDt7Q0fHx9s3rwZeXl5CAsLA9A4zZafn48dO3YAaLzDMDY2FhEREViwYAFSU1OxZcsW7Nq1S91nTU0NcnJy1H/Oz89HVlYWLC0tMWjQIADA9evXceHCBfU5SqUSWVlZsLa2Vm8rUVpairy8PBQUFACAuqBSKBRQKBSQSCR49dVXER0djREjRmDkyJHYvn27xsatRNR59Osta9O4O9G0VuzmScqmtWJxcz1ZbBF1Ere9vUOTyspK/Pzzz3BycoKtrW2rz9+4cSPWrl2LwsJCuLu7Y926dRg/fjwAYN68ebh06RKSk5PV8SkpKVi8eDHOnj0LBwcHREZGqgsz4P9vx3CzCRMmqPtJTk7Ggw8+qBUTGhqqLha3bduG+fPna8VER0dj+fLl6verV6/Ghg0bUFpaihEjRmDt2rUt3nV4M27vQNQx1DcIjFtzFEWqKp3rtCQAFHIZvo98yKDTd015NDeN2V55EFHL9P39vuNCi+4MCy2ijqNpJAmARrHVVM60x0hS6sWrePLjH28Zt2vBA+22VoyItOn7+80tzImI/k+Auz3i5npCIdecHlTIZe02XdfR1ooR0Z25rUfwEBF1VQHu9pjkpjDa3X4daa0YEd05FlpERDcxNZEYbVpulIs17OWyW64VG+Vi3d6pEdFt4NQhEVEHYmoiQXRQ4/58N4+hNb2PDnLjQniiTkLvQmvt2rX466+/1O+PHTum8cy+8vJyvPDCC22bHRFRN9QR1ooRUdvQ+65DU1NTFBYWqneFt7KyQlZWFlxdXQEAv//+OxwcHPR+qDQ14l2HRI24C7o2XhOijkvf32+912jdXI9xVwgiaivcBV03Y64VI6K2wTVaRGRUTXtX3bxBZ9Mu6AlnCo2UGRHRnWOhRURGU98gsOJgjs6765raVhzMQX0DR9CJqHNq1fYOn3zyCSwtLQEAdXV12LZtm/qxO+Xl5W2fHd0WruugziJNWdrso2aAxmKrUFWFNGUpp9CIqFPSu9BycnLCxx9/rH6vUCjw2WefacWQcXGtC3Um3AWdiLo6vQutS5cuGTANagtNa11unmRpWuvC28Kpo+Eu6ETU1XGNVhfBtS7UGTXtgt7cxLYEjSOy3AWdiDorvQut//3vfzh8+LBG244dO+Di4oJ+/frhb3/7m8YGptS+WrPWhaij4C7oRNTV6V1oLV++HD/99JP6/enTp/Hss8/ikUceQVRUFA4ePIiYmBiDJEm3xrUu1FlxF3Qi6sr0XqOVlZWFN998U/1+9+7dGD16tHqBvKOjI6Kjo7F8+fI2T5JujWtdqDMLcLfHJDcF75Yloi5H70Lrzz//hJ2dnfp9SkoKAgIC1O/vv/9+XLlypW2zI701rXUpUlXpXKclQeMIAde6UEfFXdCJqCvSe+rQzs4OSqUSAFBTU4OMjAz4+Pioj5eXl8Pc3LztMyS9cK0LERFRx6N3oRUQEICoqCgcP34cS5YsQc+ePeHr66s+/tNPP2HgwIEGSZL0w7UuREREHYveU4crV67E9OnTMWHCBFhaWmL79u2QSqXq459++in8/PwMkiTpj2tdiIiIOg6JEKJVGyupVCpYWlrC1NRUo720tBSWlpYaxRfdWllZGeRyOVQqFaysrIydDhEREelB39/vVj3rEADkcrnOdmtrLrImIiIiupHehdYzzzyjV9ynn35628kQERERdSV6F1rbtm3DgAED4OHhgVbONhIRERF1S3oXWmFhYdi9ezd+/fVXPPPMM5g7dy6nC4mIiIhaoPf2Dhs3bkRhYSEiIyNx8OBBODo6YtasWfjmm284wkVERESkQ6vvOmxy+fJlbNu2DTt27EBtbS1ycnJgaWnZ1vl1ebzrkIiIqPPR9/db7xGtm0kkEkgkEggh0NDQcLvdEBEREXVZrSq0qqursWvXLkyaNAlDhgzB6dOnERsbi7y8PI5mEREREd1E78XwL7zwAnbv3g0nJyfMnz8fu3fvho0NHwBLRERE1By9R7Q2bdoEKysruLi4ICUlBQsWLMD06dO1Xq21ceNGuLi4QCaTwcvLC8ePH28xPiUlBV5eXpDJZHB1dcWmTZs0jp89exYzZsyAs7MzJBIJ1q9fr9XHsWPHEBQUBAcHB0gkEuzfv18rZu/evfD394etrS0kEgmysrKazUkIgcDAwGb7IiIiou5J70Lr6aefxoMPPog+ffpALpc3+2qN+Ph4hIeHY9myZcjMzISvry8CAwORl5enM16pVGLy5Mnw9fVFZmYmli5dikWLFmHPnj3qmMrKSri6umL16tVQKBQ6+6moqMCIESMQGxvbbG4VFRUYO3YsVq9efcvvsX79ekgkfJYgERERabrtuw7bwujRo+Hp6Ym4uDh127BhwxAcHIyYmBit+MjISBw4cAC5ubnqtrCwMGRnZyM1NVUr3tnZGeHh4QgPD282B4lEgn379iE4OFjn8UuXLsHFxQWZmZkYOXKk1vHs7GxMmTIF6enpsLe3b7EvXXjXIRERUedj8LsO71RNTQ1OnToFPz8/jXY/Pz+cOHFC5zmpqala8f7+/jh58iRqa2sNlmtzKisr8eSTTyI2NrbZ0bObVVdXo6ysTONFREREXZPRCq2SkhLU19fDzs5Oo93Ozg5FRUU6zykqKtIZX1dXh5KSEoPl2pzFixdjzJgxmDZtmt7nxMTEaEy1Ojo6GjBDIiIiMiajFVpNbl7bJIRocb2Trnhd7YZ24MABHD16VOdi+5YsWbIEKpVK/bpy5YphEiQiIiKjM1qhZWtrC1NTU63Rq+LiYq1RqyYKhUJnvJmZWbtvNXH06FFcvHgRffr0gZmZGczMGnfKmDFjBiZOnNjseRYWFrCystJ4ERERUddktEJLKpXCy8sLiYmJGu2JiYkYM2aMznN8fHy04o8cOQJvb2+Ym5sbLFddoqKi8NNPPyErK0v9AoB169Zh69at7ZoLERERdUx6b1hqCBEREQgJCYG3tzd8fHywefNm5OXlISwsDEDjNFt+fj527NgBoPEOw9jYWERERGDBggVITU3Fli1bsGvXLnWfNTU1yMnJUf85Pz8fWVlZsLS0xKBBgwAA169fx4ULF9TnKJVKZGVlwdraGk5OTgCA0tJS5OXloaCgAABw7tw5AI2jaje+bubk5AQXF5e2vlRERETUGQkj27BhgxgwYICQSqXC09NTpKSkqI+FhoaKCRMmaMQnJycLDw8PIZVKhbOzs4iLi9M4rlQqBQCt1439JCUl6YwJDQ1Vx2zdulVnTHR0dLPfBYDYt29fq76/SqUSAIRKpWrVeURERGQ8+v5+G3UfLeI+WkRERJ1Rh99Hi4iIiKirY6FFREREZCAstIiIiIgMhIUWERERkYGw0CIiIiIyEBZaRERERAbCQouIiIjIQFhoERERERkICy0iIiIiA2GhRURERGQgLLSIiIiIDISFFhEREZGBsNAiIiIiMhAWWkREREQGwkKLiIiIyEBYaBEREREZCAstIiIiIgNhoUVERERkICy0iIiIiAzEzNgJEJHx1DcIpClLUVxehX69ZRjlYg1TE4mx0yIi6jJYaBF1UwlnCrHiYA4KVVXqNnu5DNFBbghwtzdiZkREXQenDom6oYQzhXh+Z4ZGkQUARaoqPL8zAwlnCo2UGRFR18JCi6ibqW8QWHEwB0LHsaa2FQdzUN+gK4KIiFqDhRZRN5OmLNUaybqRAFCoqkKasrT9kiIi6qJYaBF1M8XlzRdZtxNHRETNY6FF1M306y1r0zgiImoeCy2ibmaUizXs5TI0t4mDBI13H45ysW7PtIiIuiQWWkTdjKmJBNFBbgCgVWw1vY8OcuN+WkREbYCFFlE3FOBuj7i5nlDINacHFXIZ4uZ6ch8tIqI2wg1LibqpAHd7THJTcGd4IiIDMvqI1saNG+Hi4gKZTAYvLy8cP368xfiUlBR4eXlBJpPB1dUVmzZt0jh+9uxZzJgxA87OzpBIJFi/fr1WH8eOHUNQUBAcHBwgkUiwf/9+rZi9e/fC398ftra2kEgkyMrK0jheWlqKF198EUOGDEHPnj3h5OSERYsWQaVStfYSEBmNqYkEPgNtMG1kf/gMtGGRRUTUxoxaaMXHxyM8PBzLli1DZmYmfH19ERgYiLy8PJ3xSqUSkydPhq+vLzIzM7F06VIsWrQIe/bsUcdUVlbC1dUVq1evhkKh0NlPRUUFRowYgdjY2GZzq6iowNixY7F69WqdxwsKClBQUIB33nkHp0+fxrZt25CQkIBnn322FVeAuqv6BoHUi1fxVVY+Ui9e5eagRERdlEQIYbR/4UePHg1PT0/ExcWp24YNG4bg4GDExMRoxUdGRuLAgQPIzc1Vt4WFhSE7Oxupqala8c7OzggPD0d4eHizOUgkEuzbtw/BwcE6j1+6dAkuLi7IzMzEyJEjW/w+X375JebOnYuKigqYmek3K1tWVga5XA6VSgUrKyu9zqHOjc8YJCLq/PT9/TbaiFZNTQ1OnToFPz8/jXY/Pz+cOHFC5zmpqala8f7+/jh58iRqa2sNlqu+mi52S0VWdXU1ysrKNF7UffAZg0RE3YvRCq2SkhLU19fDzs5Oo93Ozg5FRUU6zykqKtIZX1dXh5KSEoPlqo+rV6/izTffxMKFC1uMi4mJgVwuV78cHR3bKUMyNj5jkIio+zH6YniJRHPxrRBCq+1W8bra21NZWRkeffRRuLm5ITo6usXYJUuWQKVSqV9XrlxppyzJ2PiMQSKi7sdo2zvY2trC1NRUa/SquLhYa9SqiUKh0BlvZmYGGxsbg+XakvLycgQEBMDS0hL79u2Dubl5i/EWFhawsLBop+yoI+EzBomIuh+jjWhJpVJ4eXkhMTFRoz0xMRFjxozReY6Pj49W/JEjR+Dt7X3LAscQysrK4OfnB6lUigMHDkAm47PhqHl8xiARUfdj1A1LIyIiEBISAm9vb/j4+GDz5s3Iy8tDWFgYgMZptvz8fOzYsQNA4x2GsbGxiIiIwIIFC5CamootW7Zg165d6j5ramqQk5Oj/nN+fj6ysrJgaWmJQYMGAQCuX7+OCxcuqM9RKpXIysqCtbU1nJycADTuk5WXl4eCggIAwLlz5wA0jqopFAqUl5fDz88PlZWV2Llzp8bC9rvuugumpqaGvHTUCTU9Y7BIVaVznZYEjTuz8xmDRERdh1G3dwAaNyxdu3YtCgsL4e7ujnXr1mH8+PEAgHnz5uHSpUtITk5Wx6ekpGDx4sU4e/YsHBwcEBkZqS7MgP+/HcPNJkyYoO4nOTkZDz74oFZMaGgotm3bBgDYtm0b5s+frxUTHR2N5cuXN9sH0Fi4OTs76/X9ub1D99J01yEAjWKraYUhH39DRNQ56Pv7bfRCq7tjodX9cB8tIqLOT9/fbz7rkKid8RmDRETdBwstIiNoesYgERF1bUbfR4uIiIioq2KhRURERGQgLLSIiIiIDISFFhEREZGBsNAiIiIiMhAWWkREREQGwkKLiIiIyEBYaBEREREZCAstIiIiIgNhoUVERERkICy0iIiIiAyEhRYRERGRgbDQIiIiIjIQFlpEREREBsJCi4iIiMhAWGgRERERGQgLLSIiIiIDYaFFREREZCAstIiIiIgMhIUWERERkYGw0CIiIiIyEBZaRERERAbCQouIiIjIQFhoERERERmImbETIGov9Q0CacpSFJdXoV9vGUa5WMPURGLstIiIqAtjoUXdQsKZQqw4mINCVZW6zV4uQ3SQGwLc7Y2YGRERdWWcOqQuL+FMIZ7fmaFRZAFAkaoKz+/MQMKZQiNlRkREXR0LLerS6hsEVhzMgdBxrKltxcEc1DfoiiAiIrozRi+0Nm7cCBcXF8hkMnh5eeH48eMtxqekpMDLywsymQyurq7YtGmTxvGzZ89ixowZcHZ2hkQiwfr167X6OHbsGIKCguDg4ACJRIL9+/drxezduxf+/v6wtbWFRCJBVlaWVkx1dTVefPFF2NraolevXpg6dSp+++231nx9MrA0ZanWSNaNBIBCVRXSlKXtlxQREXUbRi204uPjER4ejmXLliEzMxO+vr4IDAxEXl6eznilUonJkyfD19cXmZmZWLp0KRYtWoQ9e/aoYyorK+Hq6orVq1dDoVDo7KeiogIjRoxAbGxss7lVVFRg7NixWL16dbMx4eHh2LdvH3bv3o3vv/8e169fx5QpU1BfX6/nFSBDKy5vvsi6nTgiIqLWkAghjDZnMnr0aHh6eiIuLk7dNmzYMAQHByMmJkYrPjIyEgcOHEBubq66LSwsDNnZ2UhNTdWKd3Z2Rnh4OMLDw5vNQSKRYN++fQgODtZ5/NKlS3BxcUFmZiZGjhypblepVLjrrrvw2WefYfbs2QCAgoICODo64uuvv4a/v/8tvn2jsrIyyOVyqFQqWFlZ6XUO6S/14lU8+fGPt4zbteAB+Ay0aYeMiIioK9D399toI1o1NTU4deoU/Pz8NNr9/Pxw4sQJneekpqZqxfv7++PkyZOora01WK66nDp1CrW1tRr5ODg4wN3dvdn8qf2NcrGGvVyG5jZxkKDx7sNRLtbtmRYREXUTRiu0SkpKUF9fDzs7O412Ozs7FBUV6TynqKhIZ3xdXR1KSkoMlmtzuUilUvTt21crn+byBxrXdZWVlWm8yHBMTSSIDnIDAK1iq+l9dJAb99MiIiKDMPpieIlE8wdOCKHVdqt4Xe3Gcqv8Y2JiIJfL1S9HR8d2zK57CnC3R9xcTyjkMo12hVyGuLme3EeLiIgMxmgbltra2sLU1FRr9Ke4uFhr1KqJQqHQGW9mZgYbm/ZdX6NQKFBTU4M///xTY1SruLgYY8aMafa8JUuWICIiQv2+rKyMxVY7CHC3xyQ3BXeGJyKidmW0ES2pVAovLy8kJiZqtCcmJjZbqPj4+GjFHzlyBN7e3jA3NzdYrrp4eXnB3NxcI5/CwkKcOXOmxULLwsICVlZWGi9qH6YmEvgMtMG0kf3hM9CGRRYRERmcUR/BExERgZCQEHh7e8PHxwebN29GXl4ewsLCADSO/uTn52PHjh0AGu8wjI2NRUREBBYsWIDU1FRs2bIFu3btUvdZU1ODnJwc9Z/z8/ORlZUFS0tLDBo0CABw/fp1XLhwQX2OUqlEVlYWrK2t4eTkBAAoLS1FXl4eCgoKAADnzp0D0DiSpVAoIJfL8eyzz+Lll1+GjY0NrK2t8corr2D48OF45JFHDHzliIiIqFMQRrZhwwYxYMAAIZVKhaenp0hJSVEfCw0NFRMmTNCIT05OFh4eHkIqlQpnZ2cRFxencVypVAo07kOp8bqxn6SkJJ0xoaGh6pitW7fqjImOjlbH/PXXX+If//iHsLa2Fj169BBTpkwReXl5rfr+KpVKABAqlapV5xEREZHx6Pv7bdR9tIj7aBEREXVGHX4fLSIiIqKujoUWERERkYGw0CIiIiIyEBZaRERERAbCQouIiIjIQFhoERERERkICy0iIiIiA2GhRURERGQgLLSIiIiIDISFFhEREZGBsNAiIiIiMhAWWkREREQGwkKLiIiIyEBYaBEREREZiJmxE6Curb5BIE1ZiuLyKvTrLcMoF2uYmkiMnRYREVG7YKFFBpNwphArDuagUFWlbrOXyxAd5IYAd3sjZkZERNQ+OHVIBpFwphDP78zQKLIAoEhVhed3ZiDhTKGRMiMiImo/LLSozdU3CKw4mAOh41hT24qDOahv0BVBRETUdbDQojaXpizVGsm6kQBQqKpCmrK0/ZIiIiIyAhZa1OaKy5svsm4njoiIqLNioUVtrl9vWZvGERERdVYstKjNjXKxhr1chuY2cZCg8e7DUS7W7ZkWERFRu2OhRW3O1ESC6CA3ANAqtpreRwe5cT8tIiLq8lhokUEEuNsjbq4nFHLN6UGFXIa4uZ7cR4uIiLoFblhKBhPgbo9JbgruDE9ERN0WCy0yKFMTCXwG2hg7DSIiIqPg1CERERGRgbDQIiIiIjIQFlpEREREBsJCi4iIiMhAjF5obdy4ES4uLpDJZPDy8sLx48dbjE9JSYGXlxdkMhlcXV2xadMmjeNnz57FjBkz4OzsDIlEgvXr12v1cezYMQQFBcHBwQESiQT79+/XihFCYPny5XBwcECPHj0wceJEnD17ViOmqKgIISEhUCgU6NWrFzw9PfGf//yn1deAiIiIuiajFlrx8fEIDw/HsmXLkJmZCV9fXwQGBiIvL09nvFKpxOTJk+Hr64vMzEwsXboUixYtwp49e9QxlZWVcHV1xerVq6FQKHT2U1FRgREjRiA2NrbZ3NauXYv33nsPsbGxSE9Ph0KhwKRJk1BeXq6OCQkJwblz53DgwAGcPn0a06dPx+zZs5GZmXmbV4SIiIi6FGFEo0aNEmFhYRptQ4cOFVFRUTrjX3vtNTF06FCNtoULF4oHHnhAZ/yAAQPEunXrWswBgNi3b59GW0NDg1AoFGL16tXqtqqqKiGXy8WmTZvUbb169RI7duzQONfa2lp88sknLX7mjVQqlQAgVCqV3ucQERGRcen7+220Ea2amhqcOnUKfn5+Gu1+fn44ceKEznNSU1O14v39/XHy5EnU1ta2WW5KpRJFRUUan2VhYYEJEyZo5DZu3DjEx8ejtLQUDQ0N2L17N6qrqzFx4sQ2y4WIiIg6L6NtWFpSUoL6+nrY2dlptNvZ2aGoqEjnOUVFRTrj6+rqUFJSAnv7tnmsS9Pn6/qsy5cvq9/Hx8dj9uzZsLGxgZmZGXr27Il9+/Zh4MCBzfZdXV2N6upq9fuysrI2yZmIiIg6HqPvDC+RaD6ORQih1XareF3t7ZHb66+/jj///BPffvstbG1tsX//fsycORPHjx/H8OHDdfYZExODFStWaLWz4CIiIuo8mn63m+qQ5hit0LK1tYWpqanW6FVxcbHWSFIThUKhM97MzAw2Nm33mJemRfRFRUUao2Q35nbx4kXExsbizJkzuPfeewEAI0aMwPHjx7FhwwatuyGbLFmyBBEREer3+fn5cHNzg6OjY5vlT0RERO2jvLwccrm82eNGK7SkUim8vLyQmJiIxx57TN2emJiIadOm6TzHx8cHBw8e1Gg7cuQIvL29YW5u3ma5ubi4QKFQIDExER4eHgAa15SlpKRgzZo1ABrvbgQAExPNZW6mpqZoaGhotm8LCwtYWFio31taWuLKlSvo3bu3QUblOoKysjI4OjriypUrsLKyMnY6HQavizZeE228JrrxumjjNdFmyGsihEB5eTkcHBxajDPq1GFERARCQkLg7e0NHx8fbN68GXl5eQgLCwPQOPqTn5+PHTt2AADCwsIQGxuLiIgILFiwAKmpqdiyZQt27dql7rOmpgY5OTnqP+fn5yMrKwuWlpYYNGgQAOD69eu4cOGC+hylUomsrCxYW1vDyckJEokE4eHhWLVqFQYPHozBgwdj1apV6NmzJ+bMmQMAGDp0KAYNGoSFCxfinXfegY2NDfbv34/ExEQcOnRI72tgYmKCu++++84uZCdhZWXF//PrwOuijddEG6+Jbrwu2nhNtBnqmrQ0kqVm+BsgW7ZhwwYxYMAAIZVKhaenp0hJSVEfCw0NFRMmTNCIT05OFh4eHkIqlQpnZ2cRFxencVypVAoAWq8b+0lKStIZExoaqo5paGgQ0dHRQqFQCAsLCzF+/Hhx+vRpjc86f/68mD59uujXr5/o2bOnuO+++7S2eyBuYdEcXhdtvCbaeE1043XRxmuirSNcE4kQt1jFRXSHysrKIJfLoVKp+F9ZN+B10cZroo3XRDdeF228Jto6wjUx+iN4qOuzsLBAdHS0xto04nXRhddEG6+Jbrwu2nhNtHWEa8IRLSIiIiID4YgWERERkYGw0CIiIiIyEBZaRERERAbCQouIiIjIQFhoUbuIiYlRbwTb3eXn52Pu3LmwsbFBz549MXLkSJw6dcrYaRlNXV0dXn/9dbi4uKBHjx5wdXXFv/71rxafsNAVHTt2DEFBQXBwcIBEIsH+/fs1jgshsHz5cjg4OKBHjx6YOHEizp49a5xk20lL16S2thaRkZEYPnw4evXqBQcHBzz99NMoKCgwXsLt5FZ/V260cOFCSCQSrF+/vt3yMwZ9rklubi6mTp0KuVyO3r1744EHHkBeXp7Bc2OhRQaXnp6OzZs347777jN2Kkb3559/YuzYsTA3N8fhw4eRk5ODd999F3369DF2akazZs0abNq0CbGxscjNzcXatWvx9ttv48MPPzR2au2qoqICI0aMQGxsrM7ja9euxXvvvYfY2Fikp6dDoVBg0qRJKC8vb+dM209L16SyshIZGRl44403kJGRgb179+L8+fOYOnWqETJtX7f6u9Jk//79+N///nfLR8R0Bbe6JhcvXsS4ceMwdOhQJCcnIzs7G2+88QZkMpnhkzPaVqnULZSXl4vBgweLxMREMWHCBPHSSy8ZOyWjioyMFOPGjTN2Gh3Ko48+Kp555hmNtunTp4u5c+caKSPjAyD27dunft/Q0CAUCoVYvXq1uq2qqkrI5XKxadMmI2TY/m6+JrqkpaUJAOLy5cvtk1QH0Nx1+e2330T//v3FmTNnxIABA8S6devaPTdj0XVNZs+ebbR/UziiRQb197//HY8++igeeeQRY6fSIRw4cADe3t6YOXMm+vXrBw8PD3z88cfGTsuoxo0bh++++w7nz58HAGRnZ+P777/H5MmTjZxZx6FUKlFUVAQ/Pz91m4WFBSZMmIATJ04YMbOORaVSQSKRdOsRYgBoaGhASEgIXn31Vdx7773GTsfoGhoa8N///hf33HMP/P390a9fP4wePbrFKde2xEKLDGb37t3IyMhATEyMsVPpMH799VfExcVh8ODB+OabbxAWFoZFixapH5zeHUVGRuLJJ5/E0KFDYW5uDg8PD4SHh+PJJ580dmodRlFREQDAzs5Oo93Ozk59rLurqqpCVFQU5syZ0+0fP7NmzRqYmZlh0aJFxk6lQyguLsb169exevVqBAQE4MiRI3jssccwffp0pKSkGPzzzQz+CdQtXblyBS+99BKOHDnSPnPgnURDQwO8vb2xatUqAICHhwfOnj2LuLg4PP3000bOzjji4+Oxc+dO/Pvf/8a9996LrKwshIeHw8HBAaGhocZOr0ORSCQa74UQWm3dUW1tLZ544gk0NDRg48aNxk7HqE6dOoX3338fGRkZ/Lvxf5purJk2bRoWL14MABg5ciROnDiBTZs2YcKECQb9fI5okUGcOnUKxcXF8PLygpmZGczMzJCSkoIPPvgAZmZmqK+vN3aKRmFvbw83NzeNtmHDhrXLnS8d1auvvoqoqCg88cQTGD58OEJCQrB48WKOhN5AoVAAgNboVXFxsdYoV3dTW1uLWbNmQalUIjExsduPZh0/fhzFxcVwcnJS/9t7+fJlvPzyy3B2djZ2ekZha2sLMzMzo/3byxEtMoiHH34Yp0+f1mibP38+hg4disjISJiamhopM+MaO3Yszp07p9F2/vx5DBgwwEgZGV9lZSVMTDT/m8/U1LTbbe/QEhcXFygUCiQmJsLDwwMAUFNTg5SUFKxZs8bI2RlPU5H1yy+/ICkpCTY2NsZOyehCQkK01sT6+/sjJCQE8+fPN1JWxiWVSnH//fcb7d9eFlpkEL1794a7u7tGW69evWBjY6PV3p0sXrwYY8aMwapVqzBr1iykpaVh8+bN2Lx5s7FTM5qgoCC89dZbcHJywr333ovMzEy89957eOaZZ4ydWru6fv06Lly4oH6vVCqRlZUFa2trODk5ITw8HKtWrcLgwYMxePBgrFq1Cj179sScOXOMmLVhtXRNHBwc8PjjjyMjIwOHDh1CfX29esTP2toaUqnUWGkb3K3+rtxccJqbm0OhUGDIkCHtnWq7udU1efXVVzF79myMHz8eDz74IBISEnDw4EEkJycbPjmj3OtI3RK3d2h08OBB4e7uLiwsLMTQoUPF5s2bjZ2SUZWVlYmXXnpJODk5CZlMJlxdXcWyZctEdXW1sVNrV0lJSQKA1is0NFQI0bjFQ3R0tFAoFMLCwkKMHz9enD592rhJG1hL10SpVOo8BkAkJSUZO3WDutXflZt1h+0d9LkmW7ZsEYMGDRIymUyMGDFC7N+/v11ykwghhOHLOSIiIqLuh4vhiYiIiAyEhRYRERGRgbDQIiIiIjIQFlpEREREBsJCi4iIiMhAWGgRERERGQgLLSIiIiIDYaFFRHQbfvjhBwwfPhzm5uYIDg422OcsX74cI0eONFj/bWnevHmtuhaXLl2CRCJBVlaWwXIiMjYWWkR0W+bNmweJRAKJRAJzc3PY2dlh0qRJ+PTTT7vFcwojIiIwcuRIKJVKbNu2zdjpdAjvv/8+rwXRTVhoEdFtCwgIQGFhIS5duoTDhw/jwQcfxEsvvYQpU6agrq7OoJ9dU1Nj0P5v5eLFi3jooYdw9913o0+fPkbNpaOQy+W8FkQ3YaFFRLfNwsICCoUC/fv3h6enJ5YuXYqvvvoKhw8f1hjZUKlU+Nvf/oZ+/frBysoKDz30ELKzszX6WrlyJfr164fevXvjueeeQ1RUlMaUWdO0VExMDBwcHHDPPfcAAPLz8zF79mz07dsXNjY2mDZtGi5duqTR99atWzFs2DDIZDIMHToUGzdubPF7VVdXY9GiRejXrx9kMhnGjRuH9PR0AP9/uuvq1at45plnIJFImh3FcXZ2xptvvok5c+bA0tISDg4O+PDDDzVi8vLyMG3aNFhaWsLKygqzZs3C77//rrO/Y8eOwdzcXP3w5CYvv/wyxo8fDwDYtm0b+vTpg2+++QbDhg2DpaWluiBu0tDQgH/961+4++67YWFhgZEjRyIhIUF9vOk7fvHFF/D19UWPHj1w//334/z580hPT4e3t7e63z/++EN93s1ThwkJCRg3bhz69OkDGxsbTJkyBRcvXmzx2hN1NSy0iKhNPfTQQxgxYgT27t0LABBC4NFHH0VRURG+/vprnDp1Cp6ennj44YdRWloKAPj888/x1ltvYc2aNTh16hScnJwQFxen1fd3332H3NxcJCYm4tChQ6isrMSDDz4IS0tLHDt2DN9//726AGga8fr444+xbNkyvPXWW8jNzcWqVavwxhtvYPv27c1+h9deew179uzB9u3bkZGRgUGDBsHf3x+lpaVwdHREYWEhrKyssH79ehQWFmL27NnN9vX222/jvvvuQ0ZGBpYsWYLFixcjMTFRfW2Cg4NRWlqKlJQUJCYm4uLFi832N378eLi6uuKzzz5Tt9XV1WHnzp2YP3++uq2yshLvvPMOPvvsMxw7dgx5eXl45ZVX1Mfff/99vPvuu3jnnXfw008/wd/fH1OnTsUvv/yi8XnR0dF4/fXXkZGRATMzMzz55JN47bXX8P777+P48eO4ePEi/vnPfzb73SsqKhAREYH09HR89913MDExwWOPPdYtppaJ1Nrl0dVE1OWEhoaKadOm6Tw2e/ZsMWzYMCGEEN99952wsrISVVVVGjEDBw4UH330kRBCiNGjR4u///3vGsfHjh0rRowYofF5dnZ2orq6Wt22ZcsWMWTIENHQ0KBuq66uFj169BDffPONEEIIR0dH8e9//1uj7zfffFP4+PjozP369evC3NxcfP755+q2mpoa4eDgINauXatuk8vlYuvWrTr7aDJgwAAREBCg0TZ79mwRGBgohBDiyJEjwtTUVOTl5amPnz17VgAQaWlpQgghoqOjNa7DmjVr1NdWCCH2798vLC0txfXr14UQQmzdulUAEBcuXFDHbNiwQdjZ2anfOzg4iLfeeksjr/vvv1+88MILQgghlEqlACA++eQT9fFdu3YJAOK7775Tt8XExIghQ4ao37f0d0IIIYqLiwUAcfr0aY3PyczMbPYcos6OI1pE1OaEEJBIJACAU6dO4fr167CxsYGlpaX6pVQq1dNI586dw6hRozT6uPk9AAwfPhxSqVT9/tSpU7hw4QJ69+6t7tfa2hpVVVW4ePEi/vjjD1y5cgXPPvusxmevXLmy2Smsixcvora2FmPHjlW3mZubY9SoUcjNzW31tfDx8dF639RPbm4uHB0d4ejoqD7u5uaGPn36NPtZ8+bNw4ULF/Djjz8CAD799FPMmjULvXr1Usf07NkTAwcOVL+3t7dHcXExAKCsrAwFBQUa3w8Axo4dq/WZ9913n/rPdnZ2ABr/N7ixralfXS5evIg5c+bA1dUVVlZWcHFxAdA4XUrUXZgZOwEi6npyc3PVP6oNDQ2wt7dHcnKyVtyNC6ebCrMmQgit+BuLiaa+vby88Pnnn2vF3nXXXaiqqgLQOH04evRojeOmpqY6c2/6XF353Nx2u5r6aa7Plj6rX79+CAoKwtatW+Hq6oqvv/5a69qam5trfd7N11Of73djP03Hbm5raRowKCgIjo6O+Pjjj+Hg4ICGhga4u7sb/UYGovbEQouI2tTRo0dx+vRpLF68GADg6emJoqIimJmZwdnZWec5Q4YMQVpaGkJCQtRtJ0+evOVneXp6Ij4+Xr3I/mZyuRz9+/fHr7/+iqeeekqv/AcNGgSpVIrvv/8ec+bMAQDU1tbi5MmTCA8P16uPGzWNPN34fujQoQAaR6/y8vJw5coV9ahWTk4OVCoVhg0b1myfzz33HJ544gncfffdGDhwoNboVEusrKzg4OCA77//Xr2AHgBOnDihcxTxdl29ehW5ubn46KOP4OvrCwD4/vvv26x/os6ChRYR3bbq6moUFRWhvr4ev//+OxISEhATE4MpU6bg6aefBgA88sgj8PHxQXBwMNasWYMhQ4agoKAAX3/9NYKDg+Ht7Y0XX3wRCxYsgLe3N8aMGYP4+Hj89NNPcHV1bfHzn3rqKbz99tuYNm2a+i66vLw87N27F6+++iruvvtuLF++HIsWLYKVlRUCAwNRXV2NkydP4s8//0RERIRWn7169cLzzz+PV199FdbW1nBycsLatWtRWVmJZ599ttXX6IcffsDatWsRHByMxMREfPnll/jvf/+rvjb33XcfnnrqKaxfvx51dXV44YUXMGHCBHh7ezfbp7+/P+RyOVauXIl//etfrc7p1VdfRXR0NAYOHIiRI0di69atyMrK0jkyeLua7gLdvHkz7O3tkZeXh6ioqDbrn6izYKFFRLctISEB9vb2MDMzQ9++fTFixAh88MEHCA0NhYlJ4xJQiUSCr7/+GsuWLcMzzzyDP/74AwqFAuPHj1ev+3nqqafw66+/4pVXXkFVVRVmzZqFefPmIS0trcXP79mzJ44dO4bIyEhMnz4d5eXl6N+/Px5++GH1CNdzzz2Hnj174u2338Zrr72GXr16Yfjw4S2OTq1evRoNDQ0ICQlBeXk5vL298c0336Bv376tvkYvv/wyTp06hRUrVqB3795499134e/vr742+/fvx4svvojx48fDxMQEAQEBWltA3MzExATz5s3DqlWr1AVtayxatAhlZWV4+eWXUVxcDDc3Nxw4cACDBw9udV8t5bh7924sWrQI7u7uGDJkCD744ANMnDixzT6DqDOQCF0LIYiIjGzSpElQKBQaWxl0Ns7OzggPD7+tKcdbWbBgAX7//XccOHCgzfsmorbDES0iMrrKykps2rQJ/v7+MDU1xa5du/Dtt9+q95ui/0+lUiE9PR2ff/45vvrqK2OnQ0S3wEKLiIyuaXpx5cqVqK6uxpAhQ7Bnzx488sgjxk6tw5k2bRrS0tKwcOFCTJo0ydjpENEtcOqQiIiIyEC4YSkRERGRgbDQIiIiIjIQFlpEREREBsJCi4iIiMhAWGgRERERGQgLLSIiIiIDYaFFREREZCAstIiIiIgMhIUWERERkYH8PyBnRwGkxV7KAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Rm5acnAwA8PX1RW1tLfbv34/3338fTz/9NIssIjI6FlpE1KbZ2NhgxYoVOH/+PKqrq+Hm5oZ58+Y1+pt4RESthbcOiYiIiCTCBUuJiIiIJMJCi4iIiEgiLLSIiIiIJMLJ8Eam0Whw6dIldOrUyeDPoBAREZHpEULg+vXrcHFxaXRxZBZaRnbp0iW4uroaOw0iIiK6BxcvXmx0KRkWWkZW/wOvFy9ehJ2dnZGzISIioqYoLy+Hq6vrXX+onYWWkdXfLrSzs2OhRURE1MbcbdoPJ8MTERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEjF5orVq1Cp6enrCyskJgYCAOHDjQaHxWVhYCAwNhZWUFLy8vpKSk6Ow/efIkJk6cCA8PD8hkMiQlJen1kZ2djcjISLi4uEAmk2HHjh16Mdu2bUN4eDgcHR0hk8mQn5+vF7N27VoMHz4cdnZ2kMlkuHbtWjPeOREREbV3Ri20tmzZgpiYGCxcuBB5eXkICQlBREQECgsLDcarVCqMGTMGISEhyMvLw4IFCzB79mxs3bpVG1NZWQkvLy8sWbIESqXSYD8VFRXw8/NDcnJyg7lVVFRg6NChWLJkSYMxlZWVGD16NBYsWNDEd9w66jQCOWev4Ov8IuScvYI6jTB2SkRERPclmRDCaN/CgwYNQkBAAFavXq1t6927N8aPH4/ExES9+Hnz5mHnzp04deqUti06OhrHjx9HTk6OXryHhwdiYmIQExPTYA4ymQzbt2/H+PHjDe4/f/48PD09kZeXh/79+xuMyczMxMMPP4w//vgDnTt3bvBchpSXl0OhUECtVrfIT/Ck/VSMN74pQLG6StvmrLBCfGQfjO7r/Kf7JyIioqZ/fxttRKumpgZHjx5FWFiYTntYWBgOHTpk8JicnBy9+PDwcBw5cgS1tbWS5dqSqqurUV5errO1lLSfivHCZ8d0iiwAKFFX4YXPjiHtp+IWOxcRERHdndEKrbKyMtTV1cHJyUmn3cnJCSUlJQaPKSkpMRh/8+ZNlJWVSZZrS0pMTIRCodBurq6uLdJvnUbgjW8KYGh4sr7tjW8KeBuRiIioFRl9Mvydv3othGj0l7ANxRtqN1Xz58+HWq3WbhcvXmyRfg+rruqNZN1OAChWV+Gw6mqLnI+IiIjuztxYJ3Z0dISZmZne6FVpaaneqFU9pVJpMN7c3BwODg6S5dqS5HI55HJ5i/dber3hIute4oiIiOjPM9qIlqWlJQIDA5Genq7Tnp6ejiFDhhg8Jjg4WC9+7969CAoKgoWFhWS5tgXdOlm1aBwRERH9eUYb0QKA2NhYTJs2DUFBQQgODsbatWtRWFiI6OhoALdusxUVFWHDhg0Abj1hmJycjNjYWMycORM5OTlITU3Fpk2btH3W1NSgoKBA+3dRURHy8/Nha2sLb29vAMCNGzdw5swZ7TEqlQr5+fmwt7eHm5sbAODq1asoLCzEpUuXAACnT58GcGtUrX7ZiJKSEpSUlGj7OnHiBDp16gQ3NzfY29tLdt0MGehpD2eFFUrUVQbnackAKBVWGOjZunkRERHd14SRrVy5Uri7uwtLS0sREBAgsrKytPuioqJEaGioTnxmZqbw9/cXlpaWwsPDQ6xevVpnv0qlErg1JUlnu72fjIwMgzFRUVHamHXr1hmMiY+P18bEx8cbjFm3bl2T379arRYAhFqtbvIxDdl94pLwmPet8Jj3rXC/batv233i0p8+BxERETX9+9uo62gR19EiIiJqi5r6/W3UW4fU8kb3dcaoPkocVl1F6fUqdOt063ahWYe28VQmERFRe8JCqx0y6yBDcM+28RQmERFRe2b0dbSIiIiI2isWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFREREJBGjF1qrVq2Cp6cnrKysEBgYiAMHDjQan5WVhcDAQFhZWcHLywspKSk6+0+ePImJEyfCw8MDMpkMSUlJen1kZ2cjMjISLi4ukMlk2LFjh17Mtm3bEB4eDkdHR8hkMuTn5+vFVFdX45///CccHR3RsWNHjB07Fr/99ltz3j4RERG1Y0YttLZs2YKYmBgsXLgQeXl5CAkJQUREBAoLCw3Gq1QqjBkzBiEhIcjLy8OCBQswe/ZsbN26VRtTWVkJLy8vLFmyBEql0mA/FRUV8PPzQ3JycoO5VVRUYOjQoViyZEmDMTExMdi+fTs2b96MgwcP4saNG3jsscdQV1fXxCtARERE7ZowooEDB4ro6GidNl9fXxEXF2cwfu7cucLX11enbdasWWLw4MEG493d3cWKFSsazQGA2L59e4P7VSqVACDy8vJ02q9duyYsLCzE5s2btW1FRUWiQ4cOIi0trdFz3k6tVgsAQq1WN/kYIiIiMq6mfn8bbUSrpqYGR48eRVhYmE57WFgYDh06ZPCYnJwcvfjw8HAcOXIEtbW1kuVqyNGjR1FbW6uTj4uLC/r27dtg/sCt243l5eU6GxEREbVPRiu0ysrKUFdXBycnJ512JycnlJSUGDympKTEYPzNmzdRVlYmWa4N5WJpaYkuXbro5dNQ/gCQmJgIhUKh3VxdXaVOlYiIiIzE6JPhZTKZzmshhF7b3eINtRvL3fKfP38+1Gq1drt48WIrZkdEREStyWiFlqOjI8zMzPRGf0pLS/VGreoplUqD8ebm5nBwcJAs14ZyqampwR9//KGXT0P5A4BcLoednZ3ORkRERO2T0QotS0tLBAYGIj09Xac9PT0dQ4YMMXhMcHCwXvzevXsRFBQECwsLyXI1JDAwEBYWFjr5FBcX46effmowfyIiIrq/mBvz5LGxsZg2bRqCgoIQHByMtWvXorCwENHR0QBu3WYrKirChg0bAADR0dFITk5GbGwsZs6ciZycHKSmpmLTpk3aPmtqalBQUKD9u6ioCPn5+bC1tYW3tzcA4MaNGzhz5oz2GJVKhfz8fNjb28PNzQ0AcPXqVRQWFuLSpUsAgNOnTwO4NZKlVCqhUCgwY8YMzJkzBw4ODrC3t8crr7yCfv364ZFHHpH4yhEREVGb0BqPQDZm5cqVwt3dXVhaWoqAgACRlZWl3RcVFSVCQ0N14jMzM4W/v7+wtLQUHh4eYvXq1Tr765djuHO7vZ+MjAyDMVFRUdqYdevWGYyJj4/Xxvz3v/8V//jHP4S9vb2wtrYWjz32mCgsLGzW++fyDkRERG1PU7+/ZUL8bzY5GUV5eTkUCgXUajXnaxEREbURTf3+NvpTh0RERETtFQstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSCAstIiIiIomw0CIiIiKSiNELrVWrVsHT0xNWVlYIDAzEgQMHGo3PyspCYGAgrKys4OXlhZSUFJ39J0+exMSJE+Hh4QGZTIakpCS9PrKzsxEZGQkXFxfIZDLs2LFDL0YIgUWLFsHFxQXW1tYYPnw4Tp48qRNz9uxZPP744+jatSvs7OwwadIk/P77782+BkRERNQ+GbXQ2rJlC2JiYrBw4ULk5eUhJCQEERERKCwsNBivUqkwZswYhISEIC8vDwsWLMDs2bOxdetWbUxlZSW8vLywZMkSKJVKg/1UVFTAz88PycnJDea2bNkyLF++HMnJycjNzYVSqcSoUaNw/fp1bR9hYWGQyWTYv38/vv/+e9TU1CAyMhIajeZPXBUiIiJqN4QRDRw4UERHR+u0+fr6iri4OIPxc+fOFb6+vjpts2bNEoMHDzYY7+7uLlasWNFoDgDE9u3bddo0Go1QKpViyZIl2raqqiqhUChESkqKEEKIPXv2iA4dOgi1Wq2NuXr1qgAg0tPTGz3n7dRqtQCg0w8RERGZtqZ+fxttRKumpgZHjx5FWFiYTntYWBgOHTpk8JicnBy9+PDwcBw5cgS1tbUtlptKpUJJSYnOueRyOUJDQ7W5VVdXQyaTQS6Xa2OsrKzQoUMHHDx4sMG+q6urUV5errMRERFR+2S0QqusrAx1dXVwcnLSaXdyckJJSYnBY0pKSgzG37x5E2VlZS2WW/35G8tt8ODB6NixI+bNm4fKykpUVFTg1VdfhUajQXFxcYN9JyYmQqFQaDdXV9cWy5uIiIhMi9Enw8tkMp3XQgi9trvFG2qXOreuXbviyy+/xDfffANbW1soFAqo1WoEBATAzMyswT7nz58PtVqt3S5evNjieRMREZFpMDfWiR0dHWFmZqY3elVaWqo3klRPqVQajDc3N4eDg0OL5VY/ib6kpATOzs4N5hYWFoazZ8+irKwM5ubm6Ny5M5RKJTw9PRvsWy6X69xuJCIiovbLaCNalpaWCAwMRHp6uk57eno6hgwZYvCY4OBgvfi9e/ciKCgIFhYWLZabp6cnlEqlzrlqamqQlZVlMDdHR0d07twZ+/fvR2lpKcaOHdtiuRAREVHbZbQRLQCIjY3FtGnTEBQUhODgYKxduxaFhYWIjo4GcOs2W1FRETZs2AAAiI6ORnJyMmJjYzFz5kzk5OQgNTUVmzZt0vZZU1ODgoIC7d9FRUXIz8+Hra0tvL29AQA3btzAmTNntMeoVCrk5+fD3t4ebm5ukMlkiImJQUJCAnx8fODj44OEhATY2NhgypQp2uPWrVuH3r17o2vXrsjJycFLL72El19+Gb169ZL82hEREVEb0BqPQDZm5cqVwt3dXVhaWoqAgACRlZWl3RcVFSVCQ0N14jMzM4W/v7+wtLQUHh4eYvXq1Tr7VSqVAKC33d5PRkaGwZioqChtjEajEfHx8UKpVAq5XC6GDRsmTpw4oXOuefPmCScnJ2FhYSF8fHzEu+++KzQaTbPeP5d3ICIianua+v0tE+J/s8nJKMrLy7UT6e3s7IydDhERETVBU7+/jf7UIREREVF7xUKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCLNLrS8vLxw5coVvfZr167By8urRZIiIiIiag+aXWidP38edXV1eu3V1dUoKipqkaSIiIiI2gPzpgbu3LlT+/eePXugUCi0r+vq6rBv3z54eHi0aHJEREREbVmTC63x48cDAGQyGaKionT2WVhYwMPDA++++26LJkdERETUljW50NJoNAAAT09P5ObmwtHRUbKkiIiIiNqDJhda9VQqlV7btWvX0Llz55bIh4iIiKjdaPZk+KVLl2LLli3a10888QTs7e3RvXt3HD9+vEWTIyIiImrLml1orVmzBq6urgCA9PR0fPfdd0hLS0NERAReffXVFk+QiIiIqK1q9q3D4uJibaH17bffYtKkSQgLC4OHhwcGDRrU4gkSERERtVXNHtHq0qULLl68CABIS0vDI488AgAQQhhcX+tuVq1aBU9PT1hZWSEwMBAHDhxoND4rKwuBgYGwsrKCl5cXUlJSdPafPHkSEydOhIeHB2QyGZKSkvT6yM7ORmRkJFxcXCCTybBjxw69GCEEFi1aBBcXF1hbW2P48OE4efKkTkxJSQmmTZsGpVKJjh07IiAgAF999VWzrwERERG1T80utCZMmIApU6Zg1KhRuHLlCiIiIgAA+fn58Pb2blZfW7ZsQUxMDBYuXIi8vDyEhIQgIiIChYWFBuNVKhXGjBmDkJAQ5OXlYcGCBZg9eza2bt2qjamsrISXlxeWLFkCpVJpsJ+Kigr4+fkhOTm5wdyWLVuG5cuXIzk5Gbm5uVAqlRg1ahSuX7+ujZk2bRpOnz6NnTt34sSJE5gwYQImT56MvLy8Zl0HIiIiaqdEM9XU1Ii3335bzJ49Wxw7dkzbvmLFCvHhhx82q6+BAweK6OhonTZfX18RFxdnMH7u3LnC19dXp23WrFli8ODBBuPd3d3FihUrGs0BgNi+fbtOm0ajEUqlUixZskTbVlVVJRQKhUhJSdG2dezYUWzYsEHnWHt7e/HRRx81es7bqdVqAUCo1eomH0NERETG1dTv72aPaFlYWOCVV17Be++9B39/f217TEwMnn/++Sb3U1NTg6NHjyIsLEynPSwsDIcOHTJ4TE5Ojl58eHg4jhw5gtra2ma8i8apVCqUlJTonEsulyM0NFQnt4ceeghbtmzB1atXodFosHnzZlRXV2P48OEtlgsRERG1Xc0utADg008/xUMPPQQXFxdcuHABAJCUlISvv/66yX2UlZWhrq4OTk5OOu1OTk4oKSkxeExJSYnB+Js3b6KsrKyZ76Jh9ee/W25btmzBzZs34eDgALlcjlmzZmH79u3o2bNng31XV1ejvLxcZyMiIqL2qdmF1urVqxEbG4uIiAhcu3ZNOwG+c+fOBiee341MJtN5LYTQa7tbvKH2lnC33F577TX88ccf+O6773DkyBHExsbiiSeewIkTJxrsMzExEQqFQrvVP8FJRERE7U+zC60PPvgAH374IRYuXAgzMzNte1BQUKMFxp0cHR1hZmamN3pVWlqqN5JUT6lUGow3NzeHg4NDM95F4+on0TeW29mzZ5GcnIyPP/4YI0eOhJ+fH+Lj4xEUFISVK1c22Pf8+fOhVqu1W/0TnERERNT+NLvQUqlUOnOz6snlclRUVDS5H0tLSwQGBiI9PV2nPT09HUOGDDF4THBwsF783r17ERQUBAsLiyaf+248PT2hVCp1zlVTU4OsrCxtbpWVlQCADh10L6GZmZn2dyENkcvlsLOz09mIiIiofWr2gqWenp7Iz8+Hu7u7Tvvu3bvRp0+fZvUVGxuLadOmISgoCMHBwVi7di0KCwsRHR0N4NboT1FRETZs2AAAiI6ORnJyMmJjYzFz5kzk5OQgNTUVmzZt0vZZU1ODgoIC7d9FRUXIz8+Hra2tdvmJGzdu4MyZM9pjVCoV8vPzYW9vDzc3N8hkMsTExCAhIQE+Pj7w8fFBQkICbGxsMGXKFACAr68vvL29MWvWLLzzzjtwcHDAjh07kJ6ejm+//baZV5WIiIjapeY+zvjxxx+L7t27i82bN4uOHTuKTZs2icWLF2v/bq6VK1cKd3d3YWlpKQICAkRWVpZ2X1RUlAgNDdWJz8zMFP7+/sLS0lJ4eHiI1atX6+xXqVQCgN52ez8ZGRkGY6KiorQxGo1GxMfHC6VSKeRyuRg2bJg4ceKEzrl++eUXMWHCBNGtWzdhY2MjHnzwQb3lHu6GyzsQERG1PU39/pYJ8b/Z5M3w4YcfYvHixdr5Rd27d8eiRYswY8aMFin+7ifl5eVQKBRQq9W8jUhERNRGNPX7+54KrXplZWXQaDTo1q3bvXZx32OhRURE1PY09fu72ZPhR4wYgWvXrgG49eRgfZFVXl6OESNG3Fu2RERERO1QswutzMxM1NTU6LVXVVXd9QehiYiIiO4nTX7q8Mcff9T+XVBQoLPGVF1dHdLS0tC9e/eWzY6IiIioDWtyodW/f3/IZDLIZDKDtwitra3xwQcftGhyRERERG1ZkwstlUoFIQS8vLxw+PBhdO3aVbvP0tIS3bp101kpnoiIiOh+1+RCq36B0sZWPSciIiKi/9PsyfBERERE1DQstIiIiIgkwkKLiIiISCIstIiIiIgk0uxCy8vLC1euXNFrv3btGry8vFokKSIiIqL2oNmF1vnz51FXV6fXXl1djaKiohZJioiIiKg9aPLyDjt37tT+vWfPHigUCu3ruro67Nu3Dx4eHi2aHBEREVFb1uRCa/z48QAAmUyGqKgonX0WFhbw8PDAu+++26LJEREREbVlTS606hcq9fT0RG5uLhwdHSVLioiIiKg9aHKhVU+lUum1Xbt2DZ07d26JfIiIiIjajWZPhl+6dCm2bNmiff3EE0/A3t4e3bt3x/Hjx1s0OSIiIqK2rNmF1po1a+Dq6goASE9Px3fffYe0tDRERETg1VdfbfEEiYiIiNqqZt86LC4u1hZa3377LSZNmoSwsDB4eHhg0KBBLZ4gERERUVvV7BGtLl264OLFiwCAtLQ0PPLIIwAAIYTB9bWIiIiI7lfNHtGaMGECpkyZAh8fH1y5cgUREREAgPz8fHh7e7d4gkRERERtVbMLrRUrVsDDwwMXL17EsmXLYGtrC+DWLcUXX3yxxRMkIiIiaqtkQghh7CTuZ+Xl5VAoFFCr1bCzszN2OkRERNQETf3+bvaIFgD88ssvyMzMRGlpqXYh03r/+te/7qVLIiIionan2YXWhx9+iBdeeAGOjo5QKpWQyWTafTKZjIUWERER0f80u9BavHgx3nrrLcybN0+KfIiIiIjajWYv7/DHH3/giSeekCIXIiIional2YXWE088gb1790qRCxEREVG70uxbh97e3nj99dfxww8/oF+/frCwsNDZP3v27BZLjoiIiKgta/byDp6eng13JpPh3Llzfzqp+wmXdyAiImp7mvr93exbhyqVqsHtXoqsVatWwdPTE1ZWVggMDMSBAwcajc/KykJgYCCsrKzg5eWFlJQUnf0nT57ExIkT4eHhAZlMhqSkJL0+srOzERkZCRcXF8hkMuzYsUMvRgiBRYsWwcXFBdbW1hg+fDhOnjyp3X/+/HnIZDKD25dfftns60BERETtT7MLrZa0ZcsWxMTEYOHChcjLy0NISAgiIiJQWFhoMF6lUmHMmDEICQlBXl4eFixYgNmzZ2Pr1q3amMrKSnh5eWHJkiVQKpUG+6moqICfnx+Sk5MbzG3ZsmVYvnw5kpOTkZubC6VSiVGjRuH69esAAFdXVxQXF+tsb7zxBjp27Kj9WSIiIiK6vzXp1mFsbCzefPNNdOzYEbGxsY3GLl++vMknHzRoEAICArB69WptW+/evTF+/HgkJibqxc+bNw87d+7EqVOntG3R0dE4fvw4cnJy9OI9PDwQExODmJiYBnOQyWTYvn07xo8fr20TQsDFxQUxMTHaZSyqq6vh5OSEpUuXYtasWQb78vf3R0BAAFJTU+/21rV465CIiKjtadGV4fPy8lBbW6v9uyG3L156NzU1NTh69Cji4uJ02sPCwnDo0CGDx+Tk5CAsLEynLTw8HKmpqaitrdWbmH+vVCoVSkpKdM4ll8sRGhqKQ4cOGSy0jh49ivz8fKxcubJFciAiIqK2r0mFVkZGhsG//4yysjLU1dXByclJp93JyQklJSUGjykpKTEYf/PmTZSVlcHZ2blFcqs/v6FzXbhwweAxqamp6N27N4YMGdJo39XV1aiurta+Li8v/5PZEhERkaky6hwtQH8UTAjR6MiYoXhD7a2Z23//+198/vnnmDFjxl37TExMhEKh0G6urq4tli8RERGZlnv6Uenc3Fx8+eWXKCwsRE1Njc6+bdu2NakPR0dHmJmZ6Y1elZaW6o0k1VMqlQbjzc3N4eDg0Ix30Lj6SfQlJSU6o2QN5fbVV1+hsrISzzzzzF37nj9/vs48t/LychZbRERE7VSzR7Q2b96MoUOHoqCgANu3b0dtbS0KCgqwf/9+KBSKJvdjaWmJwMBApKen67Snp6c3ePstODhYL37v3r0ICgpqsflZwK21wpRKpc65ampqkJWVZTC31NRUjB07Fl27dr1r33K5HHZ2djobERERtU/NHtFKSEjAihUr8Pe//x2dOnXCe++9B09PT8yaNavZc6RiY2Mxbdo0BAUFITg4GGvXrkVhYSGio6MB3Br9KSoqwoYNGwDcesIwOTkZsbGxmDlzJnJycpCamopNmzZp+6ypqUFBQYH276KiIuTn58PW1hbe3t4AgBs3buDMmTPaY1QqFfLz82Fvbw83NzfIZDLExMQgISEBPj4+8PHxQUJCAmxsbDBlyhSd93DmzBlkZ2dj165dzb2URERE1N6JZrKxsREqlUoIIYSDg4P48ccfhRBCFBQUCKVS2dzuxMqVK4W7u7uwtLQUAQEBIisrS7svKipKhIaG6sRnZmYKf39/YWlpKTw8PMTq1at19qtUKgFAb7u9n4yMDIMxUVFR2hiNRiPi4+OFUqkUcrlcDBs2TJw4cUIv//nz54sePXqIurq6Zr93IYRQq9UCgFCr1fd0PBEREbW+pn5/N/sneFxdXbFr1y7069cPfn5+iIuLw1NPPYWcnByMHj0aarW6JevAdo/raBEREbU9LbqO1u1CQkKQnp6Ofv36YdKkSXjppZewf/9+pKenY+TIkX8qaSIiIqL2pNmFVnJyMqqqqgDcmkNlYWGBgwcPYsKECXj99ddbPEEiIiKitqrZtw6pZfHWIRERUdsj2a3DhlYyl8lkkMvlsLS0bG6XRERERO1Sswutzp07N7oKe48ePTB9+nTEx8ejQwejLzxPREREZDTNLrTWr1+PhQsXYvr06Rg4cCCEEMjNzcUnn3yC1157DZcvX8Y777wDuVyOBQsWSJEzERERUZvQ7ELrk08+wbvvvotJkyZp28aOHYt+/fphzZo12LdvH9zc3PDWW2+x0CIiIqL7WrPv7eXk5MDf31+v3d/fHzk5OQCAhx56CIWFhX8+OyIiIqI2rNmFVo8ePZCamqrXnpqaqv1x5CtXrqBLly5/PjsiIiKiNqzZtw7feecdPPHEE9i9ezcGDBgAmUyG3Nxc/Pzzz/jqq68AALm5uZg8eXKLJ0tERETUltzTOloXLlxASkoKTp8+DSEEfH19MWvWLHh4eEiQYvvGdbSIiIjanqZ+f3PBUiNjoUVERNT2SLZgab3KykoUFhaipqZGp/3BBx+81y6JiIiI2pVmF1qXL1/Gs88+i927dxvcX1dX96eTIiIiImoPmv3UYUxMDP744w/88MMPsLa2RlpaGj755BP4+Phg586dUuRIRERE1CY1e0Rr//79+PrrrzFgwAB06NAB7u7uGDVqFOzs7JCYmIhHH31UijyJiIiI2pxmj2hVVFSgW7duAAB7e3tcvnwZANCvXz8cO3asZbMjIiIiasOaXWj16tULp0+fBgD0798fa9asQVFREVJSUuDs7NziCRIRERG1Vc2+dRgTE4Pi4mIAQHx8PMLDw7Fx40ZYWlpi/fr1LZ0fERERUZv1p9fRqqysxM8//ww3Nzc4Ojq2VF73Da6jRURE1PZIvo5WPRsbGwQEBPzZboiIiIjanWbP0SIiIiKipmGhRURERCQRFlpEREREEmGhRURERCSRJhday5Ytw3//+1/t6+zsbFRXV2tfX79+HS+++GLLZkdERETUhjV5eQczMzMUFxdrV4W3s7NDfn4+vLy8AAC///47XFxc+KPSzcTlHYiIiNqepn5/N3lE68567E8uv0VERETU7nGOFhEREZFEWGgRERERSaRZK8N/9NFHsLW1BQDcvHkT69ev1/7szvXr11s+OyIiIqI2rMkjWm5ubvjwww+xYsUKrFixAkqlEp9++qn29UcffQQ3N7dmJ7Bq1Sp4enrCysoKgYGBOHDgQKPxWVlZCAwMhJWVFby8vJCSkqKz/+TJk5g4cSI8PDwgk8mQlJSk10d2djYiIyPh4uICmUyGHTt26MUIIbBo0SK4uLjA2toaw4cPx8mTJ/XicnJyMGLECHTs2BGdO3fG8OHDdZ7OJCIiovtXkwut8+fPQ6VS3XVrji1btiAmJgYLFy5EXl4eQkJCEBERgcLCQoPxKpUKY8aMQUhICPLy8rBgwQLMnj0bW7du1cZUVlbCy8sLS5YsgVKpNNhPRUUF/Pz8kJyc3GBuy5Ytw/Lly5GcnIzc3FwolUqMGjVKZ+QuJycHo0ePRlhYGA4fPozc3Fz84x//QIcOvCNLREREAIQRDRw4UERHR+u0+fr6iri4OIPxc+fOFb6+vjpts2bNEoMHDzYY7+7uLlasWNFoDgDE9u3bddo0Go1QKpViyZIl2raqqiqhUChESkqKtm3QoEHitddea7T/u1Gr1QKAUKvVf6ofIiIiaj1N/f5u8tDLf/7zH+zevVunbcOGDfD09ES3bt3wt7/9TWcB07upqanB0aNHERYWptMeFhaGQ4cOGTwmJydHLz48PBxHjhxBbW1tk899NyqVCiUlJTrnksvlCA0N1eZWWlqK//znP+jWrRuGDBkCJycnhIaG4uDBgy2WBxEREbVtTS60Fi1ahB9//FH7+sSJE5gxYwYeeeQRxMXF4ZtvvkFiYmKTT1xWVoa6ujo4OTnptDs5OaGkpMTgMSUlJQbjb968ibKysiaf+27qz99YbufOnQNw67rMnDkTaWlpCAgIwMiRI/Hrr7822Hd1dTXKy8t1NiIiImqfmlxo5efnY+TIkdrXmzdvxqBBg/Dhhx8iNjYW77//Pr744otmJyCTyXReCyH02u4Wb6i9JTSWm0ajAQDMmjULzz77LPz9/bFixQr06tULH3/8cYN9JiYmQqFQaDdXV9cWz5uIiIhMQ5MLrT/++ENnhCcrKwujR4/Wvh4wYAAuXrzY5BM7OjrCzMxMb/SqtLRUbySpnlKpNBhvbm4OBweHJp/7buon0TeWm7OzMwCgT58+OjG9e/ducDI/AMyfPx9qtVq7NeeaERERUdvS5ELLyclJ+1RhTU0Njh07huDgYO3+69evw8LCoskntrS0RGBgINLT03Xa09PTMWTIEIPHBAcH68Xv3bsXQUFBzTr33Xh6ekKpVOqcq6amBllZWdrcPDw84OLigtOnT+sc+8svv8Dd3b3BvuVyOezs7HQ2IiIiap+avGDp6NGjERcXh6VLl2LHjh2wsbFBSEiIdv+PP/6Inj17NuvksbGxmDZtGoKCghAcHIy1a9eisLAQ0dHRAG6N/hQVFWHDhg0AgOjoaCQnJyM2NhYzZ85ETk4OUlNTsWnTJm2fNTU1KCgo0P5dVFSE/Px82NrawtvbGwBw48YNnDlzRnuMSqVCfn4+7O3t4ebmBplMhpiYGCQkJMDHxwc+Pj5ISEiAjY0NpkyZAuDWbcVXX30V8fHx8PPzQ//+/fHJJ5/g559/xldffdWs60BERETtVFMfYywtLRUPPfSQkMlkolOnTmLbtm06+0eMGCEWLFjQ7McjV65cKdzd3YWlpaUICAgQWVlZ2n1RUVEiNDRUJz4zM1P4+/sLS0tL4eHhIVavXq2zX6VSCQB62+39ZGRkGIyJiorSxmg0GhEfHy+USqWQy+Vi2LBh4sSJE3r5JyYmih49eggbGxsRHBwsDhw40Kz3z+UdiIiI2p6mfn/LhPjfbPImUqvVsLW1hZmZmU771atXYWtrC0tLyz9d/N1PysvLoVAooFareRuRiIiojWjq93ezfusQABQKhcF2e3v75nZFRERE1K41udB67rnnmhTX2NIGRERERPeTJhda69evh7u7O/z9/dHMu41ERERE96UmF1rR0dHYvHkzzp07h+eeew5PP/00bxcSERERNaLJ62itWrUKxcXFmDdvHr755hu4urpi0qRJ2LNnD0e4iIiIiAxo9lOH9S5cuID169djw4YNqK2tRUFBAWxtbVs6v3aPTx0SERG1PU39/m7yiNadZDIZZDIZhBDa3/0jIiIiov/TrEKruroamzZtwqhRo9CrVy+cOHECycnJKCws5GgWERER0R2aPBn+xRdfxObNm+Hm5oZnn30WmzdvbtEfciYiIiJqb5o8R6tDhw5wc3ODv78/ZDJZg3Hbtm1rseTuB5yjRURE1Pa0+MrwzzzzTKMFFhERERHpataCpURERETUdPf81CERERERNY6FFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEWGgRERERSYSFFhEREZFEjF5orVq1Cp6enrCyskJgYCAOHDjQaHxWVhYCAwNhZWUFLy8vpKSk6Ow/efIkJk6cCA8PD8hkMiQlJen1kZ2djcjISLi4uEAmk2HHjh16MUIILFq0CC4uLrC2tsbw4cNx8uRJnZjhw4dDJpPpbE8++WSzrwERERG1T0YttLZs2YKYmBgsXLgQeXl5CAkJQUREBAoLCw3Gq1QqjBkzBiEhIcjLy8OCBQswe/ZsbN26VRtTWVkJLy8vLFmyBEql0mA/FRUV8PPzQ3JycoO5LVu2DMuXL0dycjJyc3OhVCoxatQoXL9+XSdu5syZKC4u1m5r1qy5hytBRERE7ZIwooEDB4ro6GidNl9fXxEXF2cwfu7cucLX11enbdasWWLw4MEG493d3cWKFSsazQGA2L59u06bRqMRSqVSLFmyRNtWVVUlFAqFSElJ0baFhoaKl156qdH+70atVgsAQq1W/6l+iIiIqPU09fvbaCNaNTU1OHr0KMLCwnTaw8LCcOjQIYPH5OTk6MWHh4fjyJEjqK2tbbHcVCoVSkpKdM4ll8sRGhqql9vGjRvh6OiIBx54AK+88oreiNedqqurUV5errMRERFR+2RurBOXlZWhrq4OTk5OOu1OTk4oKSkxeExJSYnB+Js3b6KsrAzOzs4tklv9+Q2d68KFC9rXU6dOhaenJ5RKJX766SfMnz8fx48fR3p6eoN9JyYm4o033miRPImIiMi0Ga3QqieTyXReCyH02u4Wb6i9NXKbOXOm9u++ffvCx8cHQUFBOHbsGAICAgz2OX/+fMTGxmpfl5eXw9XVtYUzJyIiIlNgtFuHjo6OMDMz0xu9Ki0t1RtJqqdUKg3Gm5ubw8HBocVyq59E35zcACAgIAAWFhb49ddfG4yRy+Wws7PT2YiIiKh9MlqhZWlpicDAQL3bbOnp6RgyZIjBY4KDg/Xi9+7di6CgIFhYWLRYbvW3A28/V01NDbKyshrMDbi1tERtbW2L3cIkIiKits2otw5jY2Mxbdo0BAUFITg4GGvXrkVhYSGio6MB3LrNVlRUhA0bNgAAoqOjkZycjNjYWMycORM5OTlITU3Fpk2btH3W1NSgoKBA+3dRURHy8/Nha2sLb29vAMCNGzdw5swZ7TEqlQr5+fmwt7eHm5sbZDIZYmJikJCQAB8fH/j4+CAhIQE2NjaYMmUKAODs2bPYuHEjxowZA0dHRxQUFGDOnDnw9/fH0KFDW+X6ERERkYlrjUcgG7Ny5Urh7u4uLC0tRUBAgMjKytLui4qKEqGhoTrxmZmZwt/fX1haWgoPDw+xevVqnf0qlUoA0Ntu7ycjI8NgTFRUlDZGo9GI+Ph4oVQqhVwuF8OGDRMnTpzQ7i8sLBTDhg0T9vb2wtLSUvTs2VPMnj1bXLlypVnvn8s7EBERtT1N/f6WCfG/2eRkFOXl5VAoFFCr1ZyvRURE1EY09fvb6D/BQ0RERNResdAiIiIikggLLSIiIiKJsNAiIiIikggLLSIiIiKJsNAiIiIikggLLSIiIiKJsNAiIiIikggLLSIiIiKJsNAiIiIikggLLSIiIiKJsNAiIiIikggLLSIiIiKJsNAiIiIikggLLSIiIiKJsNAiIiIikoi5sROg9q1OI3BYdRWl16vQrZMVBnraw6yDzNhpERERtQoWWiSZtJ+K8cY3BShWV2nbnBVWiI/sg9F9nY2YGRERUevgrUOSRNpPxXjhs2M6RRYAlKir8MJnx5D2U7GRMiMiImo9LLSoxdVpBN74pgDCwL76tje+KUCdxlAEERFR+8FCi1rcYdVVvZGs2wkAxeoqHFZdbb2kiIiIjICFFrW40usNF1n3EkdERNRWsdCiFtetk1WLxhEREbVVLLSoxQ30tIezwgoNLeIgw62nDwd62rdmWkRERK2OhRa1OLMOMsRH9gEAvWKr/nV8ZB+up0VERO0eCy2SxOi+zlj9dACUCt3bg0qFFVY/HcB1tIiI6L7ABUtJMqP7OmNUHyVXhiciovsWCy2SlFkHGYJ7Ohg7DSIiIqPgrUMiIiIiibDQIiIiIpIICy0iIiIiiRi90Fq1ahU8PT1hZWWFwMBAHDhwoNH4rKwsBAYGwsrKCl5eXkhJSdHZf/LkSUycOBEeHh6QyWRISkrS6yM7OxuRkZFwcXGBTCbDjh079GKEEFi0aBFcXFxgbW2N4cOH4+TJkwZzEkIgIiKiwb6IiIjo/mTUQmvLli2IiYnBwoULkZeXh5CQEERERKCwsNBgvEqlwpgxYxASEoK8vDwsWLAAs2fPxtatW7UxlZWV8PLywpIlS6BUKg32U1FRAT8/PyQnJzeY27Jly7B8+XIkJycjNzcXSqUSo0aNwvXr1/Vik5KSIJPxSToiIiK6gzCigQMHiujoaJ02X19fERcXZzB+7ty5wtfXV6dt1qxZYvDgwQbj3d3dxYoVKxrNAYDYvn27TptGoxFKpVIsWbJE21ZVVSUUCoVISUnRic3Pzxc9evQQxcXFBvu6G7VaLQAItVrdrOOIiIjIeJr6/W20Ea2amhocPXoUYWFhOu1hYWE4dOiQwWNycnL04sPDw3HkyBHU1ta2WG4qlQolJSU655LL5QgNDdXJrbKyEk899RSSk5MbHD27U3V1NcrLy3U2IiIiap+MVmiVlZWhrq4OTk5OOu1OTk4oKSkxeExJSYnB+Js3b6KsrKzFcqs//91ye/nllzFkyBCMGzeuyX0nJiZCoVBoN1dX15ZJmoiIiEyO0SfD3zm3SQjR6HwnQ/GG2qXObefOndi/f7/ByfaNmT9/PtRqtXa7ePFiS6VLREREJsZohZajoyPMzMz0Rq9KS0v1RpLqKZVKg/Hm5uZwcGi51cfrbwM2ltv+/ftx9uxZdO7cGebm5jA3v7XI/sSJEzF8+PAG+5bL5bCzs9PZiIiIqH0yWqFlaWmJwMBApKen67Snp6djyJAhBo8JDg7Wi9+7dy+CgoJgYWHRYrl5enpCqVTqnKumpgZZWVna3OLi4vDjjz8iPz9fuwHAihUrsG7duhbLhYiIiNouo/7WYWxsLKZNm4agoCAEBwdj7dq1KCwsRHR0NIBbt9mKioqwYcMGAEB0dDSSk5MRGxuLmTNnIicnB6mpqdi0aZO2z5qaGhQUFGj/LioqQn5+PmxtbeHt7Q0AuHHjBs6cOaM9RqVSIT8/H/b29nBzc4NMJkNMTAwSEhLg4+MDHx8fJCQkwMbGBlOmTAFwa9TL0AR4Nzc3eHp6SnPBiIiIqG1pjUcgG7Ny5Urh7u4uLC0tRUBAgMjKytLui4qKEqGhoTrxmZmZwt/fX1haWgoPDw+xevVqnf0qlUoA0Ntu7ycjI8NgTFRUlDZGo9GI+Ph4oVQqhVwuF8OGDRMnTpxo9L2AyzsQtQs36zTi0JkysSPvN3HoTJm4WacxdkpEZGKa+v0tE+J/s8nJKMrLy6FQKKBWqzlfi8gEpP1UjDe+KUCxukrb5qywQnxkH4zu62zEzIjIlDT1+9voTx0SEZmKtJ+K8cJnx3SKLAAoUVfhhc+OIe2nYiNlRkRtFQstIiIAdRqBN74pgKEh/vq2N74pQJ2GNwGIqOlYaBGRSajTCOScvYKv84uQc/ZKqxc0h1VX9UaybicAFKurcFh1tfWSIqI2z6hPHRIRAaYxL6r0esNF1r3EEREBHNEiIiMzlXlR3TpZtWgcERHAQouIjMiU5kUN9LSHs8IKDf2Ylwy3RtkGetpLngsRtR8stIjIaExpXpRZBxniI/sAgF6xVf86PrIPzDq0/O+qElH7xUKLiIzG1OZFje7rjNVPB0Cp0L09qFRYYfXTAVxHi4iajZPhie5jdRqBw6qrKL1ehW6dbt0Wa80RG1OcFzW6rzNG9VEa9boQUfvBQovuG8YuKkwtF1N40q9+XlSJusrgPC0Zbo0mtfa8KLMOMgT3dGjVcxJR+8RCi+4LplBUmFIu9U/63Vnc1D/p11q3yernRb3w2THIAJ18OC+KiNoDztGids9Ulg8wlVxM6Uk/gPOiiKh944gWtWt3KypkuFVUjOqjlHzUxFRyac6Tfq11+4zzooiovWKhRe2aKRUVppKLqT3pV4/zooioPeKtQ2rXTKmoMJVcTPFJPyKi9oqFFrVrplRUmEouXAGdiKj1sNCids2UigpTyYUroBMRtR4WWtSumVJRYUq58Ek/IqLWIRNCtM4z3GRQeXk5FAoF1Go17OzsjJ1Ou2UKa1eZYi6msHAqEVFb1NTvbxZaRsZCq/WYUlFhSrkQEVHzNfX7m8s70H3DlJYPMKVciIhIOpyjRURERCQRFlpEREREEmGhRURERCQRztEiIiJq4/iAjelioUVERG2KqRQVppKHKS0ZQ/pYaBERUZthKkWFKeXxwmfHcOc6TSXqKrzw2TEuQGwCOEeLiIjahPqi4vbiBvi/oiLtp+L7Ko86jcAb3xToFVkAtG1vfFOAOk3rLpdZpxHIOXsFX+cXIefslVY/v6nhiBYREZm8uxUVMtwqKkb1UUp6+85U8gCAw6qresXenfkUq6twWHW11dbtM5WRPlPCES0iIrorY49SNKeouB/yAIDS6w3ncS9xf5apjPTVM/Znth5HtIiIqFGmMEphKkWFqeQBAN06Wd09qBlxf4YpjfQBpvGZrWf0Ea1Vq1bB09MTVlZWCAwMxIEDBxqNz8rKQmBgIKysrODl5YWUlBSd/SdPnsTEiRPh4eEBmUyGpKQkvT6ys7MRGRkJFxcXyGQy7NixQy9GCIFFixbBxcUF1tbWGD58OE6ePKkTM2vWLPTs2RPW1tbo2rUrxo0bh59//rnZ14CIyBBT+Be5qYxSmEpRYSp5AMBAT3s4K6zQUNkiw63iYqCnveS5mNJIn6l8ZusZtdDasmULYmJisHDhQuTl5SEkJAQREREoLCw0GK9SqTBmzBiEhIQgLy8PCxYswOzZs7F161ZtTGVlJby8vLBkyRIolUqD/VRUVMDPzw/JyckN5rZs2TIsX74cycnJyM3NhVKpxKhRo3D9+nVtTGBgINatW4dTp05hz549EEIgLCwMdXV193hFiIhuSfupGA8t3Y+nPvwBL23Ox1Mf/oCHlu5v1S8JU5psbSpFhankAdz6zdT4yD7a896ZBwDER/ZplREkUxnpM6XPbD2jFlrLly/HjBkz8Pzzz6N3795ISkqCq6srVq9ebTA+JSUFbm5uSEpKQu/evfH888/jueeewzvvvKONGTBgAN5++208+eSTkMvlBvuJiIjA4sWLMWHCBIP7hRBISkrCwoULMWHCBPTt2xeffPIJKisr8fnnn2vj/va3v2HYsGHw8PBAQEAAFi9ejIsXL+L8+fP3flGI6L5nKv8iN6VRClMpKkwlj3qj+zpj9dMBUCp0R9CUCqtWXdrBVEb6TOkzW89ohVZNTQ2OHj2KsLAwnfawsDAcOnTI4DE5OTl68eHh4Thy5Ahqa2tbLDeVSoWSkhKdc8nlcoSGhjaYW0VFBdatWwdPT0+4uro22Hd1dTXKy8t1NiKieqb0L3JTGaWoZypFhankcXs+B+eNwKaZg/Hek/2xaeZgHJw3olXzMJWRPlP7zAJGnAxfVlaGuro6ODk56bQ7OTmhpKTE4DElJSUG42/evImysjI4O7fMh6r+/IbOdeHCBZ22VatWYe7cuaioqICvry/S09NhaWnZYN+JiYl44403WiRPImp/TOmRfVMZpbjd6L7OGNVHafQV2U0lj3pmHWSttoRDQ+ePj+yDFz47Bhmg8w+F1hzpM8XPrNEnw8tkuhddCKHXdrd4Q+2tldvUqVORl5eHrKws+Pj4YNKkSaiqavg/kvPnz4dardZuFy9ebPG8iajtMqV/kZvKKMWd6ouKcf27I7ing9GLG2PnYSpMYaTPFD+zRhvRcnR0hJmZmd7oVWlpqd5IUj2lUmkw3tzcHA4OLVfJ10+iLykp0RklM5SbQqGAQqGAj48PBg8ejC5dumD79u146qmnDPYtl8sbnDtGRGRK/yI3lVEKajuMPdJnip9Zo41oWVpaIjAwEOnp6Trt6enpGDJkiMFjgoOD9eL37t2LoKAgWFhYtFhunp6eUCqVOueqqalBVlZWg7nVE0Kgurq6xXIhovuLqf2L3BRGKahtMfZIn6l9Zo26YGlsbCymTZuGoKAgBAcHY+3atSgsLER0dDSAW7fZioqKsGHDBgBAdHQ0kpOTERsbi5kzZyInJwepqanYtGmTts+amhoUFBRo/y4qKkJ+fj5sbW3h7e0NALhx4wbOnDmjPUalUiE/Px/29vZwc3ODTCZDTEwMEhIS4OPjAx8fHyQkJMDGxgZTpkwBAJw7dw5btmxBWFgYunbtiqKiIixduhTW1tYYM2ZMq1w/Imp/TPFf5MYepSBqLpP6zAojW7lypXB3dxeWlpYiICBAZGVlafdFRUWJ0NBQnfjMzEzh7+8vLC0thYeHh1i9erXOfpVKJXDrv0062+39ZGRkGIyJiorSxmg0GhEfHy+USqWQy+Vi2LBh4sSJE9r9RUVFIiIiQnTr1k1YWFiIHj16iClTpoiff/65We9frVYLAEKtVjfrOCJq33afuCQGJ3wn3Od9q90GJ3wndp+4ZOzUiEg0/ftbJoS4v39W28jKy8uhUCigVqthZ2dn7HSIyITUaYRp/IuciPQ09fubv3VIRGSijP3IPhH9eUZf3oGIiIiovWKhRURERCQRFlpEREREEmGhRURERCQRFlpEREREEmGhRURERCQRFlpEREREEmGhRURERCQRFlpEREREEuHK8EZW/wtI5eXlRs6EiIiImqr+e/tuv2TIQsvIrl+/DgBwdXU1ciZERETUXNevX4dCoWhwP39U2sg0Gg0uXbqETp06QSZrnz8WW15eDldXV1y8eJE/nH0bXhd9vCb6eE0M43XRx2uiT8prIoTA9evX4eLigg4dGp6JxREtI+vQoQN69Ohh7DRahZ2dHf/PbwCviz5eE328JobxuujjNdEn1TVpbCSrHifDExEREUmEhRYRERGRRFhokeTkcjni4+Mhl8uNnYpJ4XXRx2uij9fEMF4Xfbwm+kzhmnAyPBEREZFEOKJFREREJBEWWkREREQSYaFFREREJBEWWkREREQSYaFFrSIxMREymQwxMTHGTsXoioqK8PTTT8PBwQE2Njbo378/jh49auy0jObmzZt47bXX4OnpCWtra3h5eeHf//43NBqNsVNrVdnZ2YiMjISLiwtkMhl27Nihs18IgUWLFsHFxQXW1tYYPnw4Tp48aZxkW0lj16S2thbz5s1Dv3790LFjR7i4uOCZZ57BpUuXjJdwK7nbZ+V2s2bNgkwmQ1JSUqvlZwxNuSanTp3C2LFjoVAo0KlTJwwePBiFhYWS58ZCiySXm5uLtWvX4sEHHzR2Kkb3xx9/YOjQobCwsMDu3btRUFCAd999F507dzZ2akazdOlSpKSkIDk5GadOncKyZcvw9ttv44MPPjB2aq2qoqICfn5+SE5ONrh/2bJlWL58OZKTk5GbmwulUolRo0Zpfy+1PWrsmlRWVuLYsWN4/fXXcezYMWzbtg2//PILxo4da4RMW9fdPiv1duzYgf/85z9wcXFppcyM527X5OzZs3jooYfg6+uLzMxMHD9+HK+//jqsrKykT04QSej69evCx8dHpKeni9DQUPHSSy8ZOyWjmjdvnnjooYeMnYZJefTRR8Vzzz2n0zZhwgTx9NNPGykj4wMgtm/frn2t0WiEUqkUS5Ys0bZVVVUJhUIhUlJSjJBh67vzmhhy+PBhAUBcuHChdZIyAQ1dl99++010795d/PTTT8Ld3V2sWLGi1XMzFkPXZPLkyUb7bwpHtEhSf//73/Hoo4/ikUceMXYqJmHnzp0ICgrCE088gW7dusHf3x8ffvihsdMyqoceegj79u3DL7/8AgA4fvw4Dh48iDFjxhg5M9OhUqlQUlKCsLAwbZtcLkdoaCgOHTpkxMxMi1qthkwmu69HiAFAo9Fg2rRpePXVV/HAAw8YOx2j02g0+H//7//hL3/5C8LDw9GtWzcMGjSo0VuuLYmFFklm8+bNOHbsGBITE42disk4d+4cVq9eDR8fH+zZswfR0dGYPXs2NmzYYOzUjGbevHl46qmn4OvrCwsLC/j7+yMmJgZPPfWUsVMzGSUlJQAAJycnnXYnJyftvvtdVVUV4uLiMGXKlPv+B5WXLl0Kc3NzzJ4929ipmITS0lLcuHEDS5YswejRo7F37148/vjjmDBhArKysiQ/v7nkZ6D70sWLF/HSSy9h7969rXMPvI3QaDQICgpCQkICAMDf3x8nT57E6tWr8cwzzxg5O+PYsmULPvvsM3z++ed44IEHkJ+fj5iYGLi4uCAqKsrY6ZkUmUym81oIodd2P6qtrcWTTz4JjUaDVatWGTsdozp69Cjee+89HDt2jJ+N/6l/sGbcuHF4+eWXAQD9+/fHoUOHkJKSgtDQUEnPzxEtksTRo0dRWlqKwMBAmJubw9zcHFlZWXj//fdhbm6Ouro6Y6doFM7OzujTp49OW+/evVvlyRdT9eqrryIuLg5PPvkk+vXrh2nTpuHll1/mSOhtlEolAOiNXpWWluqNct1vamtrMWnSJKhUKqSnp9/3o1kHDhxAaWkp3NzctP/tvXDhAubMmQMPDw9jp2cUjo6OMDc3N9p/ezmiRZIYOXIkTpw4odP27LPPwtfXF/PmzYOZmZmRMjOuoUOH4vTp0zptv/zyC9zd3Y2UkfFVVlaiQwfdf/OZmZndd8s7NMbT0xNKpRLp6enw9/cHANTU1CArKwtLly41cnbGU19k/frrr8jIyICDg4OxUzK6adOm6c2JDQ8Px7Rp0/Dss88aKSvjsrS0xIABA4z2314WWiSJTp06oW/fvjptHTt2hIODg177/eTll1/GkCFDkJCQgEmTJuHw4cNYu3Yt1q5da+zUjCYyMhJvvfUW3Nzc8MADDyAvLw/Lly/Hc889Z+zUWtWNGzdw5swZ7WuVSoX8/HzY29vDzc0NMTExSEhIgI+PD3x8fJCQkAAbGxtMmTLFiFlLq7Fr4uLigr/+9a84duwYvv32W9TV1WlH/Ozt7WFpaWmstCV3t8/KnQWnhYUFlEolevXq1dqptpq7XZNXX30VkydPxrBhw/Dwww8jLS0N33zzDTIzM6VPzijPOtJ9ics73PLNN9+Ivn37CrlcLnx9fcXatWuNnZJRlZeXi5deekm4ubkJKysr4eXlJRYuXCiqq6uNnVqrysjIEAD0tqioKCHErSUe4uPjhVKpFHK5XAwbNkycOHHCuElLrLFrolKpDO4DIDIyMoyduqTu9lm50/2wvENTrklqaqrw9vYWVlZWws/PT+zYsaNVcpMJIYT05RwRERHR/YeT4YmIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiIiISCIstIiIiIgkwkKLiOgefP/99+jXrx8sLCwwfvx4yc6zaNEi9O/fX7L+W9L06dObdS3Onz8PmUyG/Px8yXIiMjYWWkR0T6ZPnw6ZTAaZTAYLCws4OTlh1KhR+Pjjj++L3ymMjY1F//79oVKpsH79emOnYxLee+89XguiO7DQIqJ7Nnr0aBQXF+P8+fPYvXs3Hn74Ybz00kt47LHHcPPmTUnPXVNTI2n/d3P27FmMGDECPXr0QOfOnY2ai6lQKBS8FkR3YKFFRPdMLpdDqVSie/fuCAgIwIIFC/D1119j9+7dOiMbarUaf/vb39CtWzfY2dlhxIgROH78uE5fixcvRrdu3dCpUyc8//zziIuL07llVn9bKjExES4uLvjLX/4CACgqKsLkyZPRpUsXODg4YNy4cTh//rxO3+vWrUPv3r1hZWUFX19frFq1qtH3VV1djdmzZ6Nbt26wsrLCQw89hNzcXAD/d7vrypUreO655yCTyRocxfHw8MCbb76JKVOmwNbWFi4uLvjggw90YgoLCzFu3DjY2trCzs4OkyZNwu+//26wv+zsbFhYWGh/PLnenDlzMGzYMADA+vXr0blzZ+zZswe9e/eGra2ttiCup9Fo8O9//xs9evSAXC5H//79kZaWpt1f/x6/+OILhISEwNraGgMGDMAvv/yC3NxcBAUFafu9fPmy9rg7bx2mpaXhoYceQufOneHg4IDHHnsMZ8+ebfTaE7U3LLSIqEWNGDECfn5+2LZtGwBACIFHH30UJSUl2LVrF44ePYqAgACMHDkSV69eBQBs3LgRb731FpYuXYqjR4/Czc0Nq1ev1ut73759OHXqFNLT0/Htt9+isrISDz/8MGxtbZGdnY2DBw9qC4D6Ea8PP/wQCxcuxFtvvYVTp04hISEBr7/+Oj755JMG38PcuXOxdetWfPLJJzh27Bi8vb0RHh6Oq1evwtXVFcXFxbCzs0NSUhKKi4sxefLkBvt6++238eCDD+LYsWOYP38+Xn75ZaSnp2uvzfjx43H16lVkZWUhPT0dZ8+ebbC/YcOGwcvLC59++qm27ebNm/jss8/w7LPPatsqKyvxzjvv4NNPP0V2djYKCwvxyiuvaPe/9957ePfdd/HOO+/gxx9/RHh4OMaOHYtff/1V53zx8fF47bXXcOzYMZibm+Opp57C3Llz8d577+HAgQM4e/Ys/vWvfzX43isqKhAbG4vc3Fzs27cPHTp0wOOPP35f3Fom0mqVn64monYnKipKjBs3zuC+yZMni969ewshhNi3b5+ws7MTVVVVOjE9e/YUa9asEUIIMWjQIPH3v/9dZ//QoUOFn5+fzvmcnJxEdXW1ti01NVX06tVLaDQabVt1dbWwtrYWe/bsEUII4erqKj7//HOdvt98800RHBxsMPcbN24ICwsLsXHjRm1bTU2NcHFxEcuWLdO2KRQKsW7dOoN91HN3dxejR4/WaZs8ebKIiIgQQgixd+9eYWZmJgoLC7X7T548KQCIw4cPCyGEiI+P17kOS5cu1V5bIYTYsWOHsLW1FTdu3BBCCLFu3ToBQJw5c0Ybs3LlSuHk5KR97eLiIt566y2dvAYMGCBefPFFIYQQKpVKABAfffSRdv+mTZsEALFv3z5tW2JioujVq5f2dWOfCSGEKC0tFQDEiRMndM6Tl5fX4DFEbR1HtIioxQkhIJPJAABHjx7FjRs34ODgAFtbW+2mUqm0t5FOnz6NgQMH6vRx52sA6NevHywtLbWvjx49ijNnzqBTp07afu3t7VFVVYWzZ8/i8uXLuHjxImbMmKFz7sWLFzd4C+vs2bOora3F0KFDtW0WFhYYOHAgTp061exrERwcrPe6vp9Tp07B1dUVrq6u2v19+vRB586dGzzX9OnTcebMGfzwww8AgI8//hiTJk1Cx44dtTE2Njbo2bOn9rWzszNKS0sBAOXl5bh06ZLO+wOAoUOH6p3zwQcf1P7t5OQE4Nb/Bre31fdryNmzZzFlyhR4eXnBzs4Onp6eAG7dLiW6X5gbOwEian9OnTql/VLVaDRwdnZGZmamXtztE6frC7N6Qgi9+NuLifq+AwMDsXHjRr3Yrl27oqqqCsCt24eDBg3S2W9mZmYw9/rzGsrnzrZ7Vd9PQ302dq5u3bohMjIS69atg5eXF3bt2qV3bS0sLPTOd+f1bMr7u72f+n13tjV2GzAyMhKurq748MMP4eLiAo1Gg759+xr9QQai1sRCi4ha1P79+3HixAm8/PLLAICAgACUlJTA3NwcHh4eBo/p1asXDh8+jGnTpmnbjhw5ctdzBQQEYMuWLdpJ9ndSKBTo3r07zp07h6lTpzYpf29vb1haWuLgwYOYMmUKAKC2thZHjhxBTExMk/q4Xf3I0+2vfX19AdwavSosLMTFixe1o1oFBQVQq9Xo3bt3g30+//zzePLJJ9GjRw/07NlTb3SqMXZ2dnBxccHBgwe1E+gB4NChQwZHEe/VlStXcOrUKaxZswYhISEAgIMHD7ZY/0RtBQstIrpn1dXVKCkpQV1dHX7//XekpaUhMTERjz32GJ555hkAwCOPPILg4GCMHz8eS5cuRa9evXDp0iXs2rUL48ePR1BQEP75z39i5syZCAoKwpAhQ7Blyxb8+OOP8PLyavT8U6dOxdtvv41x48Zpn6IrLCzEtm3b8Oqrr6JHjx5YtGgRZs+eDTs7O0RERKC6uhpHjhzBH3/8gdjYWL0+O3bsiBdeeAGvvvoq7O3t4ebmhmXLlqGyshIzZsxo9jX6/vvvsWzZMowfPx7p6en48ssv8f/+3//TXpsHH3wQU6dORVJSEm7evIkXX3wRoaGhCAoKarDP8PBwKBQKLF68GP/+97+bndOrr76K+Ph49OzZE/3798e6deuQn59vcGTwXtU/Bbp27Vo4OzujsLAQcXFxLdY/UVvBQouI7llaWhqcnZ1hbm6OLl26wM/PD++//z6ioqLQocOtKaAymQy7du3CwoUL8dxzz+Hy5ctQKpUYNmyYdt7P1KlTce7cObzyyiuoqqrCpEmTMH36dBw+fLjR89vY2CA7Oxvz5s3DhAkTcP36dXTv3h0jR47UjnA9//zzsLGxwdtvv425c+eiY8eO6NevX6OjU0uWLIFGo8G0adNw/fp1BAUFYc+ePejSpUuzr9GcOXNw9OhRvPHGG+jUqRPeffddhIeHa6/Njh078M9//hPDhg1Dhw4dMHr0aL0lIO7UoUMHTJ8+HQkJCdqCtjlmz56N8vJyzJkzB6WlpejTpw927twJHx+fZvfVWI6bN2/G7Nmz0bdvX/Tq1Qvvv/8+hg8f3mLnIGoLZMLQRAgiIiMbNWoUlEqlzlIGbY2HhwdiYmLu6Zbj3cycORO///47du7c2eJ9E1HL4YgWERldZWUlUlJSEB4eDjMzM2zatAnfffeddr0p+j9qtRq5ubnYuHEjvv76a2OnQ0R3wUKLiIyu/vbi4sWLUV1djV69emHr1q145JFHjJ2ayRk3bhwOHz6MWbNmYdSoUcZOh4jugrcOiYiIiCTCBUuJiIiIJMJCi4iIiEgiLLSIiIiIJMJCi4iIiEgiLLSIiIiIJMJCi4iIiEgiLLSIiIiIJMJCi4iIiEgiLLSIiIiIJPL/Ac71jk9HzEa9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for size in df['TrainingSize'].unique():\n",
    "    view = df[df['TrainingSize'] == size]\n",
    "    fig, ax = plt.subplots()\n",
    "    \n",
    "    ax.set_title(f\"\")\n",
    "    ax.scatter(view['Degree'], view['MSE'])\n",
    "    ax.set_xlabel('Degree of polynomial')\n",
    "    ax.set_ylabel('MSE against test')\n",
    "    ax.set_title(f\"Training set size {size}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2f5a2f71-1078-48b9-af78-3493caff3dda",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}