{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "65d519ec",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:24.475959Z",
     "iopub.status.busy": "2026-09-21T13:44:24.475959Z",
     "iopub.status.idle": "2026-09-21T13:44:26.024844Z",
     "shell.execute_reply": "2026-09-21T13:44:26.024844Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from scipy import stats\n",
    "\n",
    "sns.set_theme(style='whitegrid')\n",
    "rng = np.random.default_rng(42)\n",
    "\n",
    "n_samples = 20_000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "04b80942",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:26.026850Z",
     "iopub.status.busy": "2026-09-21T13:44:26.026850Z",
     "iopub.status.idle": "2026-09-21T13:44:26.097228Z",
     "shell.execute_reply": "2026-09-21T13:44:26.097228Z"
    }
   },
   "outputs": [],
   "source": [
    "# 1. Сумма 50 независимых факторов\n",
    "sums = rng.uniform(0, 1, size=(n_samples, 50)).sum(axis=1)\n",
    "\n",
    "# 2. Произведение 50 независимых множителей от 0,8 до 1,25\n",
    "products = rng.uniform(0.8, 1.25, size=(n_samples, 50)).prod(axis=1)\n",
    "\n",
    "# 3. Число редких событий: 1000 испытаний с вероятностью 0,003\n",
    "counts = rng.binomial(1000, 0.003, size=n_samples)\n",
    "\n",
    "# 4. Время ожидания первого события при вероятности 0,01 на шаг\n",
    "waits = rng.geometric(0.01, size=n_samples)\n",
    "\n",
    "# 5. Прочность цепи из 50 звеньев — минимум прочностей звеньев\n",
    "minima = rng.gamma(shape=3, scale=1, size=(n_samples, 50)).min(axis=1)\n",
    "\n",
    "# 6. Годовой максимум суточных осадков — максимум из 365 значений\n",
    "maxima = rng.exponential(scale=5, size=(n_samples, 365)).max(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b7a06cce",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:26.100234Z",
     "iopub.status.busy": "2026-09-21T13:44:26.099232Z",
     "iopub.status.idle": "2026-09-21T13:44:26.710694Z",
     "shell.execute_reply": "2026-09-21T13:44:26.710189Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1300x700 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2, 3, figsize=(13, 7))\n",
    "\n",
    "panels = [\n",
    "    (sums, 'Сумма 50 факторов', stats.norm, {}),\n",
    "    (products, 'Произведение 50 множителей', stats.lognorm, {'floc': 0}),\n",
    "    (waits, 'Время до первого события', stats.expon, {'floc': 0}),\n",
    "    (minima, 'Минимум из 50 значений', stats.weibull_min, {'floc': 0}),\n",
    "    (maxima, 'Максимум из 365 значений', stats.gumbel_r, {}),\n",
    "]\n",
    "names = {\n",
    "    stats.norm: 'нормальное',\n",
    "    stats.lognorm: 'логнормальное',\n",
    "    stats.expon: 'экспоненциальное',\n",
    "    stats.weibull_min: 'Вейбулла',\n",
    "    stats.gumbel_r: 'Гумбеля',\n",
    "}\n",
    "\n",
    "for ax, (data, title, dist, fit_kwargs) in zip(axes.flat[[0, 1, 3, 4, 5]], panels):\n",
    "    params = dist.fit(data, **fit_kwargs)\n",
    "    x = np.linspace(data.min(), np.quantile(data, 0.999), 300)\n",
    "    ax.hist(data, bins=60, range=(x[0], x[-1]), density=True, color='#4C78A8', alpha=0.75)\n",
    "    ax.plot(x, dist.pdf(x, *params), color='#E45756', linewidth=2,\n",
    "            label=f'{names[dist]}')\n",
    "    ax.set_title(title)\n",
    "    ax.set_yticks([])\n",
    "    ax.legend()\n",
    "\n",
    "ax = axes[0, 2]\n",
    "k = np.arange(0, 11)\n",
    "ax.bar(k, np.bincount(counts, minlength=11)[:11] / n_samples,\n",
    "       color='#4C78A8', alpha=0.75)\n",
    "ax.plot(k, stats.poisson.pmf(k, counts.mean()), 'o-', color='#E45756',\n",
    "        linewidth=2, label='Пуассона')\n",
    "ax.set_title('Число редких событий')\n",
    "ax.set_yticks([])\n",
    "ax.legend()\n",
    "\n",
    "fig.suptitle('Механизм порождения данных и получающееся распределение', fontsize=14)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "309d3757",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:26.712700Z",
     "iopub.status.busy": "2026-09-21T13:44:26.712700Z",
     "iopub.status.idle": "2026-09-21T13:44:26.924271Z",
     "shell.execute_reply": "2026-09-21T13:44:26.923677Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Городов: 100179, крупнейший: 48969 жителей, городов из одного жителя: 55%\n"
     ]
    }
   ],
   "source": [
    "# Модель Саймона: каждый новый житель с вероятностью 0,2 основывает новый город,\n",
    "# иначе переселяется в город случайного уже живущего жителя\n",
    "n_people = 500_000\n",
    "p_new_city = 0.2\n",
    "\n",
    "city_of = np.empty(n_people, dtype=np.int64)\n",
    "city_of[0] = 0\n",
    "n_cities = 1\n",
    "coins = rng.random(n_people)\n",
    "picks = rng.random(n_people)\n",
    "\n",
    "for t in range(1, n_people):\n",
    "    if coins[t] < p_new_city:\n",
    "        city_of[t] = n_cities\n",
    "        n_cities += 1\n",
    "    else:\n",
    "        city_of[t] = city_of[int(picks[t] * t)]\n",
    "\n",
    "city_sizes = np.bincount(city_of)\n",
    "print(f'Городов: {n_cities}, крупнейший: {city_sizes.max()} жителей, '\n",
    "      f'городов из одного жителя: {(city_sizes == 1).mean():.0%}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e2806a6d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:26.927624Z",
     "iopub.status.busy": "2026-09-21T13:44:26.927100Z",
     "iopub.status.idle": "2026-09-21T13:44:26.934083Z",
     "shell.execute_reply": "2026-09-21T13:44:26.934083Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Выборка                         Среднее/медиана  Доля 1 % крупнейших\n",
      "Сумма (нормальное)                         1.00                 1.2%\n",
      "Произведение (логнормальное)               1.48                 7.2%\n",
      "Размер города (степенное)                  4.99                43.7%\n"
     ]
    }
   ],
   "source": [
    "def top_share(values, share=0.01):\n",
    "    values = np.sort(values)[::-1]\n",
    "    top = values[:max(1, int(len(values) * share))]\n",
    "    return top.sum() / values.sum()\n",
    "\n",
    "samples = {\n",
    "    'Сумма (нормальное)': sums,\n",
    "    'Произведение (логнормальное)': products,\n",
    "    'Размер города (степенное)': city_sizes,\n",
    "}\n",
    "\n",
    "print(f'{\"Выборка\":30s} {\"Среднее/медиана\":>16s} {\"Доля 1 % крупнейших\":>20s}')\n",
    "for name, values in samples.items():\n",
    "    print(f'{name:30s} {values.mean() / np.median(values):16.2f} '\n",
    "          f'{top_share(values):20.1%}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "51b2e8c6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:26.937090Z",
     "iopub.status.busy": "2026-09-21T13:44:26.937090Z",
     "iopub.status.idle": "2026-09-21T13:44:27.442939Z",
     "shell.execute_reply": "2026-09-21T13:44:27.442939Z"
    }
   },
   "outputs": [
    {
     "data": {
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IiiEZQhnlWQJECVhsAykZlVimp5KMlkybpZVtykBI0tdYvqxJICsZNSklli/u8gXw8ssvV1/upH+nfCGWAEGyjNK/WQbHEpINlzJ0CcpkWh750i5ZSAmQtTLiC0lMTFTtkM8g5ewy4FGTJk1K/Hwhn1kCDwkY5Iv+gQMHVOZUC5xl8CbJFEofYslqSd9VuZGgvYcEZlL+KV94JWiSL8TSn1meJwHi+QLT4uYblwBMjou8lwzgJFlKIdk9+bIsmSwZ6VhGBpZgSI6tDKgmgakcQ5kLWIIxOTYaOWdCvqzLOZCATYItqTiQfqaSwZMbAtJ2GZ1asrpa8KVl5525UJtK2n9eI8dfgmbHvrCOpH3nG11abhhJNUFxA7HJwFmSoZXMve1xkjJ22+dLMHu+61mueQni5Lidr++2kBtVUrIv2eOSVGYIuQ4kkJJzK1lvuR7kWpPrVa49Wb4QyZJLplNmA5DX0Ka7k5sLwvY15DNomXzHwd2k0kECaflXXkdukEnJslQfyHVbWnIOZDRr+T07H/ndLs34BfKa8vsn17FUmcg1KQPryTmSLh6iPM+rRvubKNU8crNN/u3YsaNd0CtVC47ZdG2dY2ZfG/FeuhHI4HXyN1ZGLZcbgucbPE7K/+XGi/xdlr/ZcvNCKhfk99RxOjAioovB4JqI6Dx9GSWzJV/WHPsqS1moZI2kxFP+lcGjhJRuayMeSwmxZKLl+Vp2SoIHWZYgQAIUKQ2WYM62vFGCaAkwJICUL4wyAJGUdMujpCRbJg/JekkQItkmbcTukpLRuaW98gVeMoMSYEqJrJAv2RJgyBdzGdhMjo9kSiWrL19YJRCUgaXkPeX9JdMnQYB8XtlekqmgnLVHvhzLcZNBrCRIkGBZyPGSgFDOmQRK8mVdMoQSIEuwI6W32vzCtiNS25JyfrkJIRUHcuylf71MUSRBsARh0sdcAtJrrrlGffGX8nLbUZMdXahNpSVBoAQ8FyLXknZcnJHst2QqpZLBGbm5IzdJ5EaKdjPFMRDWypXPdz1LMC6BjwQxcpOqODIgnlxbciPJtlz6QuT6koBQ3l/Lest1fr6B3hzJcZLzI+dabtTIjSE5x3IdSLAlwV1J5gSX61+ucXktuU7lppRkguUm3O23347SkqBVrpMLkc9dmhtmci3LsZbrUSox5JqUmxHy+bVjL38zyuO82tJ+56TiQrLj8rsmv0e2N4RsR+EX8vvqOCe4RgJ++d2SKge5USeBu9w8lN9zmb/bGRl0UV5P/iZpo+VLdwAZcFHOm9xUON/vDRFRSegsrIUhIiIb8gVUsm3Lli0774BWlUWCAPnyX1wwWNLXkOybBE0Xs92XSJArN420+a1Lu52IiMhXsc81ERERERERURkxuCYiIq8npfWO8x+XZrsvudBAZhfaTkRE5KtYFk5ERERERERURsxcExEREREREZURg2siIiIiIiKiMmJwTURERERERFRGnOe6hLZs2aLmUZQ5IomIiIiIiMgz5efnQ6fToV27duX6usxcl5AE1t4wJbh8hry8PK/4LORdeG2SO+P1Se6K1ya5K16b5IuxHTPXJaRlrFu3bg1PlpWVhV27dqFRo0YICQlxdXOIrHhtkjvj9UnuitcmuStem+TOtm3bpjLX5Y2ZayIiIiIiIqIyYnBNREREREREVEYMromIiIiIiIjKiME1ERERERERURkxuCYiIiIiIiIqI44WTkREREQuYzKZ1Jyz5F1yc3Ot/+r1zOdR5c7yZDAY4AoMromIiIio0skcs4mJiTh37hyPvhcym83w8/NDQkICg2uqdFFRUahevXqFTLd1PgyuiYiIiKjSaYF1XFwcQkJCKv1LMFV8RYJkrQMDA12WRSTfvGmXlZWF5ORktRwfH1+p7+/1wfW3336Ld955R/2Cjxs3DldddZWrm0RERETk0+R7mRZYx8TEuLo5VEHnWAQFBTG4pkoVHBys/pUAW/7GVObNHa8OrpOSkjB//nx89dVXyMvLw4ABA9CpUyeEhYW5umlEREREPkvrYy0ZayKi8qb9bZG/NZUZXHv16AJr1qxB165dVTBdpUoVdOjQAatWrXJ1s4iIiIgIYCk4EVUIV3Uz8ergWisF0MTGxiIlJcWlbSIiIiIiIiLvo/f2Du2OOBUAEREREZUno9GIjz76CLfeeivatWunuiE+8MADWLduncd+nttvvx3//vuvq5vi1X7//Xc8+uijrm4GlSOvDq4la33q1Cnr8unTp+0y2UREREREZSEjYt9zzz348MMPMXjwYDWYrvzcsGFD3H///ViyZInHHeD33nsPjRo1QqtWrVzdFK8mAy2np6d75DVCPhhcd+7cWfWxlotWRqTcsGGD6ndNRERERFQe3njjDezZsweffvopbrnlFtSrVw/NmjXDpEmTcPPNN+PFF19EZmamxxxs+d68YMECPPjgg65uik+QCodZs2ZZR1cnz+bVwbXMazZkyBDcdddd6N+/P4YPH64GNiMiIiIiKisZifjrr79W5eDO5tMdOXKkmhJWpqN66aWXikwJK4HsJZdcghUrVuDNN99E06ZN1WvZktJyWd+7d2+1fPz4cbUsj71799p1h5R9ZP369evVutTUVEyePBndunVDy5YtVeJJlrOzs4v9TJ9//jmqV6+Oxo0bW9fJa37zzTd2+zmu++6773DTTTepzyPtmDdvnjVg1Nos+/Tt21ftc+edd+Lvv/+2Pn/ChAlqnxEjRti9jxxfWS9VAbbl1HfccQfatm2L1q1bq2NmO2ix7TFyfMg2IW2UY14cZ9sd18l5k88hXQFkEOVp06YhJyfH7vw+/fTTqptA+/btVYXD9u3b7V5Tnif7/fbbb8W2hTyHx0zFJVNq/fXXX1i4cKF1ndlsxltvvYUvv/xSXZQdO3bEM888g9q1a1v3ue2229TDnW3eexLbDxYMtGbQ66DX62z+1UOvK/jZz6BHXFQIasSGo1p0KAyG0t0bsZjNyF27BsFHjsBi8weTiIiIyB2YzGYcOnkOufmuyeIF+htQPz5Kff8qiWPHjqnqyEsvvdTp9mrVqqmHkABQ+mVv2rTJWkn5888/IyIiQgW/EnRFRkaqgDkhIQE1atRQ+/z4448IDAws8toyP/j//vc/NGnSRC1v3rzZrjukFrDK1LTyfVn2l32eeuopVfJ93333OW2zBK49evRAaUgZ/Kuvvqrer0uXLvjnn3/w/PPPq4GEJbjUTJ8+XQX3zZs3VzcdJGsrn0/77i5tlCBZSu21z+z4+aUf+OOPP47x48fjyiuvREZGhnrvJ598En/++ScCAgKs+0ogLIGv2LJli3peeZFjLzcC5DVffvllHDx4EM8++6y6JubOnatudgwdOlTdWJE4RmYv+v7779XUwF988QVatGihXsff318ds2XLluG6664rt/aRa3hEcL1o0SJVLuFY0i0XrpTgyC+q3GGbMWOGylRLvwXbX6zyIr8kWVlZ5fqa/x4+hRcWri318yT4rl4lFPFVQtGkdhVc0aIGqkadf67InN9+Q/bizxApd9KMRugGFd4BJHI17S76+e6mE7kKr09yV556bUrwJEkSyWxq2c18oxlPvbsc+46fdWnbGteKxktDesHf78IB9tmzBW2VwOlCZb2SCZbssWRvtYBP+mffeOON6mc5HqGhoaqfs2QxJVObl5eHpUuXomfPnir4lveQ/bQsqgR4w4YNU8vy/Vf2k/21YyuZakk+aQH4DTfcoBJVUsburL3yPHkfqfh03K69puM6GfxMysjvvvtuVS0qJFg+c+YMZs6ciSeeeMLaZvmergWQEoiuXbsWixcvxujRo9X37AYNGqiAfOXKlerzyc9yQ+CKK65QQbT2/hKga+8lBg0ahIcffljNFCQVBNr7hYeHW6tW5WfbzyHv5+wzaZxtt10nAbNUIsj7ijp16qgbCRJsy/GVtm/duhWrV69GVFSU2keOhWTr5SaLVDJo5GaHXAssDS8/2u+K/G3UrgfH81sR03W5dXAtd9qmTJmiSluk/4ot+WPz/vvvY+zYseoPiXj99dfVnT/5gyQlJxVR+rNr165yfc1th9Mu6nkmswUnTmWox6a9Sfhs2S60qx+Ba9vEIqCY/xhEbf4bQf/9nLNzJ06U82chKg+HDx/mgSS3xeuT3JUnXpt+fn4qyNYknM5weWAtpA3Hks6gRkzYBfcNCSlIbEggZVsOXBwJpOfMmYMxY8YgMTFRZVOlb7Y8V4JU+cIvWWP5Litlz1J2LMFi3bp1sW3bNrWfdswk4JRMqGRMZcDeX3/9VQV3ElzL92TZV/qASzb3q6++wtGjR9W+J06cUK/nrL1ys0DaITcLHLc/99xzqv+443fjkydPqkGDpTzb9jlt2rRRryWBpmSkhZRx2+4jGezdu3erdVow1KtXL/UZ5PPJDQO5QSDtSUtLU/vVr19fZYOl7PzQoUMqUyzvISSQsj1G2nHQfhayTdbJsZabAh988IF6vVq1aqljrsUQtts12nmSf/ft24c+ffrYfR4pdxc7duxQ51deQ7LrjsdMnmP7PPl8Jb2GqGTkPMu5kmu+OBWRjHXr4FouTCmV+OGHH9QfIvljoJFfRBkcQn7hNFJWIyUWGzdurJDgWtoid5bKU8PGJiRlblEZbJPJosqhzJaCsignM4kVS3bdfCgNiWlmjLq9PerERRTZJ+OPZci3uZjkDxqRu5D/IMqXQ7mRFhwc7OrmENnh9UnuylOvTfniK6XPUu4rgY2oXS1AZY1dHWBLG2pXq1KizLV8L5TAUUqV+/XrV2T7gQMHVD9cKWGWzLUMcCbJIOlHLeXfEpBq5cFys0Eyaddeey1eeeUVdW61hJH8LNvkWGkl0tHR0aovr3SblPMvGVp5Pe17njweeeQRFQTKa0jWWt5LElcGg8F63G1p15Cz7ZKRte0zLhlo+W6sBSjys+1z5PNoNyC0Nktm3vF1tefJe8qUufL5JRss6yXIlhHXJZMt22Q/+Z4v5dZyE0LK8eW4y/GR9mnXk/Z+0jbt/bR2avvI8ZQMvWS9JaiVcn25gSCl+VdffbXddo2U0svnkudL4Oz4mbXgWD6zfB4JmqX7qiPbdmnHW/t8VH7kXElFgbNuFfJ7URHcOriWchBt8AZHcjdIOA4eIXfutG3lTX7JtDuU5UVebdI93Z1uKyg9scBskaDbgpw8IxJPZ+D4qXQknErH8ZR0HEg4i+SzmXZ3fSe9/xcmDuyCDk3tj022wWANrvU6fbl/FqLyIP9h57VJ7orXJ7krT7s2JZCQhwQV8hDy74xHrvKoPtfSZsl2Sqm1BHyO30sl6ymBt3zBl30lIJbATfrXSqJo4MCB1s8vx0O+a0ofbcnwSn9sCSonTpyoAjTZpgVh2v7XXHONKieW/tkymJjtNgnepf+y9O+VLLKWNZVMr9YeR3KjQAJGGQjNcXtsbKwq27Yl7yPtlW1SAi3t0Ug5t7yWvJeUdGuJMy25I5nknTt3qgHB5L3k88lDPrtcy1I+L5lpCejlc2ifX/p3X3755aofuUYbk0nbRyv3lfe3Pb7av9o+cj60zyQ3HuQ9JciWAN9xuxasac+XwdGk8kCCf40sC7mRIoGyfG7Jxtsm56SkXUaTtw3apWJAYhhn54Qujva7In8bnd20qIiScLcPrs9H61vkmM6XOxPyB8EbFPyB0EF+zfwBBAX4ISosCM3qxtoF4Fv3J2H21xtwKrXgmOTlmzB90WrMeORK1I+PduEnICIiIio5CWob1fSsmV2kz7MEf9LnWPrUSjZVBjn77LPPVLAmmWrbGx8y0K5klOU7nGSTnZEAXKb4kv7XMq5QcaTkWPouS5Aq721LAl4JBn/55ReV1ZY2SSm1lB9rJdLOSGmzBMFSUl5SMm2XfE7pay2Dc0kJu1SdyiBu0tdZC65lDCVpl5RgS1vk+7wE144koJZBwqTs2jHrKDcwZNA1CYLl2Ej3UTlWQj6XvJdWJn6hG04ylpIcD2mHZMTlhoSM6F0S0n9cjrmMASVZfKkgeeGFF1RZu8xxLtUEciNh1KhRqvRf2i1jRckI6zKPuC053toNEPJsHhtca3cg5JfI9m6ElBl5UllUeQTg7RpXx6zHr8GsL9dj056Tar3c8Z32yRrMfuIaFZQTERERUfmT752ffPKJGgtIRsCWcnf5biqZUMmoOg7IK10aJSMqQbh0aXRGgkopJ9cGOyuOvI5M8STffyVg1aaZEpJRlkF/ZcRsGRy4atWqapwiKW3+448/in1NCWwlG14aMuq3JLy0gbok6JWAW2442JKRsiVolmMkwaQcH8nYOpIM+Mcff+y0m6eM0C2jomsDuUlWWN5z3LhxajA2OQ9yU6N79+7WgdyKI/vKQ25CSJsfe+wxVbpfEtLG1157DW+//bYKsOUGhrRXm0pMMqfy2jLgskzJJgG8BN2Scbft1irVBJLxltHVyfPpLHLbzAPI0P7S51or+5A7YlKGI6MkSrmJ7S+tlGnIXbzypM1Jp/VlcUfST/vFj/+yBtiiX5cmGNK3YETK06+9ipwNG9TPhrr1UP3ll13WViJnd49lwEC5y+tJpY3kG3h9krvy1GtT+qZKya82OJUvkTGDZG5jyezKoF3uRjLc0i1TAuWyfO+VAcrkPMv5lUHPJMsuAbOUdFMhGYhOAnD5V8rYqXL+xkgsKUnK8o7tSjdRshuRvgoySICUgmhkFEEpi5EpB3y1lGpM/06IjSz8j+uStftwJPGcS9tFRERE5Ouk26IM0CUlwjVr1rTLXroTmTZKMtHSt5kqntzEGD58OANrL+GxwbWUnshAADJ/njYohPRpkJIOKaWpCBl56fjr0J84kXocZkvR+dLcQVhwAB7p1966LAOiLfr9X5e2iYiIiMjXSSZXAmtJBMlo4BU1oFJ5eOihh1TWT7J7VHGkAle6BpSmfzu5N4/ujCt9GmT+Mhl1T1L/krGWAQIqqqQiKy8T8/4qGDAh0C8IDao0ROPYpmgY0xjN41oiOsQ9BuC4rHkNtG8Sj7/3FpSHr91xAkeTUhHq6oYRERER+SjpkyuDcHlKEksG3iov0h9cG2SM7Aeukwd5D48JrmVABkcyUIAMXiCPypZrzMGu5B3qoakWVh1N45qjWdUWaFK1GepE1XPZXcm7r2ppDa7FT+v2o+hYjERERERERORTwbV7OH+gnJSRqB4rDy5Xy5FBUSrIlux22xrtUS+6fqUF201qx6BFvVjsPHxKLf+1/Rju8J1B1ImIiIiIiCoVg+tSiAurhldumI1DZ/bjwOn92JuyG8fOHYHJYnK6f2rOOWw8tk49Pt3yEaKCo9Em/lK0q9kel8S3Q3hgOCpSr3b1rMF1WmYuUs058K3xOImIiIiIiCoHg+tSql+lgXr0blQwaFqeKQ8HTu3F7uSd2J2yC3tSdiIzL9Ppc89ln8WfB5eph06nR6OYxmhXo73KajeIaQSD3oDydEXLWpj3/d8wmQtmWzt1Lgu1yvUdiIiIiIiISDC4LqMAQwCaV2ulHkJGET+ZdgLbE//BjsTtOHhmP5Izkoo8z2IxY9+pPerxxbZPER4YobLZktWWYDsyKLLMV2hEaCDaNa5unff6TFoOg2siIiIiIqIKwOC6nOl1etSMrK0e1zbtq9adTEvA1oS/sSXhbxVw55lyizwvPTcNqw//qR466NQI5JfW7IB2NTuorLa87sXodkkda3BtNLvn9GFERERERESejsF1JYiPqKEe1zW7UZWR70raoYLtrQmbcTz1aJH9LbBg/+m96iFZ7YjASJXR7lSnC9rWbA8/fclPW6cWNRHgZ0Ce0Xm/cCIiIiIiIio7BtcuKCNvU6OdetwLICUzGf8kbFaB9raTW5Cdn13kOWm5qfjz4B/qIeXjl9e5Ap3rdkXLaq0v2E87JMgfHZrFY82/xyvwUxERERH5psGDB2PDhg3Fbr/sssuwcOHCSm0TFW/79u149tln8eWXX0Kvv7jKUHKtl156CTVq1MB9993ndqeCwbWLVQ2Nw1WNr1UPo9mIPck7sfnEJmw5sQnHnGS1pXz8932/qoeMPt6lbncVaDeu2rTY0vHul9RhcE1ERERUQa677jpMmjSpyPqpU6fi9OnTPO5uIj8/H0899RQmT57MwNqDDR8+HDfccAN69eqFunXrwp0wuHYjUu7dsvol6jG4/QNIyUhWgfbmExtVVluCb8fRx3/a/b16VAurjl4Nr0LPRlchJiTWbr+2jatBX0nzaxMRERH5mqCgIFStWtXpenIfP/zwAwICAnD55Ze7uilUBhEREejbty/mzJmDV155Be6EtRBurGpYHK5pej0m9p6CBbcvxMOdhqN19TZOM9RJGYlY/M8neOSbBzB9+fPYdGw9TOaCftahQQFoUCPKBZ+AiIiIqOTku8vB0/uxK3mHSx7y3tr3p/J2/PhxNG3aFN99950KDC655BLceeed+Pvvv+32k+033XST2t67d2/MnTsXJpPJ7jXWr19v3f+LL75Q67755hu1nJCQgAcffBDt2rVD165dMWvWLOu+EyZMUPvKo1mzZqpkffz48cjNLRxs9+uvv1aZeHl/+fejjz6C2WZQXO39HB/SNs3y5ctx++23o3PnzrjmmmtUG/Ly8qzbbdvrbJ20U8rtNdK+q6++Wh0PTVJSEkaNGoUOHTqoYHnYsGE4fPjwec/B+++/rz6TLXkfZ5/nzTfftO6zZcsW3HPPPWjfvr16r4kTJ+Ls2bPW7dIu2+fK8Zdz5HhcHNfl5OSoY3PllVeidevW6NevH5YuXWrdX45H9+7d1TGXcynn9LHHHlOf3fG9P/nkE7vPJefV9nPIOZw/f746H61atcKll16KIUOG4OjRo3bv5+xYaMfd2fVn67iT7Y7r5Fr+8MMPVTvkM8u/n332md3rHDhwAEOHDrVew2PGjEFKSordPtdffz1+/vlnu2PhDpi59hDhgeHW8vHU7HNYe/QvrDy4XE3l5TjF19/HN6hHdHAV9G50tZqTu0W9qsBm2/0K5r4mIiIicgf5pnw8s3S8GtDVlRrFNMHz17wMf4N/hbz+9OnTVVly8+bN8c477+CBBx7Ajz/+iNq1a6ug49VXX1XBZZcuXfDPP//g+eefV4Gcs7Lzc+fO4bXXXrNbN3r0aAQGBuKrr75CYmIiHn74YTRp0kQFI0ICFgm4jEYj9uzZo0psZd1dd92Fzz//XL3eM888o4LrnTt34oUXXlABzJNPPqmen5WVhRtvvFEFb1rg+fjjj1vff+XKlRg5cqTaLgFccnKyKo8/dOgQ3njjjYs6ZnKcJAisWbOmtQ0SFLds2VIFldJ3+oMPPlA3K5YsWYJq1aoVeQ0JvPfv34+ePXtesKxfbgxotm3bpt6rf//+mDJligry5JxIAC39tg2GgvGP5DzKQ0h2fPfu3Rf8XHKu5BhLH3Apb5br4IknnsBbb72Fq666Su1z5swZdYNDgnB5XdlXguJvv/0Wfn4FoVxMTAz+97//YdCgQdabEb///ru6DjQff/wx3nvvPbz88svqepDj+fTTT6vrUW7g2Prrr7/sbkjYBvxlNX36dHz//ffqvSW4lutFrg9ps/Shlmvt7rvvVteY/B5kZ2er61WOvxyfkJAQ9Try3KioKPX8O+64A+6CwbUHigyOUtN8yeNUZgpWHVqBP/b/hsT0gim3NGezz+Dr7Z/jm+1foHZ4M8T7ZVm35eRz9HAiIiJyH8kZSS4PrIW0QdpSM7JWhbz+Qw89pDLXQgLXdevWqcykBFoSREqANHDgQLW9Xr16KoCeMWMGRowYUeS1Xn/9dXTq1Am//PKLdZ0EsBKAhIeHQ6fTqQBMAhSNv7+/tYRdglTZLvsKCbIeeeQR1Z9VSMCfkZGB5557TgV9EqzJsgQ12mtERkbatWnevHkqyJVgSDKzjRs3Vs+/9957VRazVq3SHVd5jgR4ffr0wY4dO9S6n376CWlpaeq4aAGmBGiSHZVjaRvsa7Zu3ao+e/369S9Y1q8FzELeWzKvEgyKhg0bqhsQkmWWILRHjx5qvRxzZ10DiiPZ2WXLlqnjpQX80m4JymWdFlxLP3EJiCXbLOQzy42StWvXolu3bmqdZJal4kGuFTk3f/zxh/qcEphr6tSpo15H+ikLuVFx7bXX4tdffy3SNtvPoQWz5SEjI0NlqSVoluBZu8blHC9YsEBdI7K9evXq6gaURm4syHUubb311lut6xs1aqRu7jC4pnITG1oVt7S6Aze3vB07k7bj931Lsf7oGuSb8+2m9jqavgv6kEAgreAPUFZeDs8CERERuY24sGoqa+zqAFvaIG2pKLb9fSXYk6Bp7969KhA6deqUKj22JaXbEmAdPHhQZSg1//77rwoy5WEbXGtZW8nGynPi4uJU6a1m06ZNKlMtZcIS/EqQJQGXvL9kuiVwtM0wy36SVZQASALLY8eOOQ1QNZKJlWyvZHWdBZRacC1ZYLm5UJKRoSWTLDcAtOBa3iM1NRUdO3a021faKe/hjBxbCTxtA+eSkHMjVQS2pKRe2iOZfy24Lo7cSJGbHEIr7xfyXOF4vuUz2VYjhIaGWgNrIedAbmhIu7TgWs65ZPGlHP+WW25RGV4JXiXjrZEAXCoh5NxKFYE8JJPvLMt/IVKyLcdR+j7LjQe5ISPXlON2x2pZuR7lWnZ2jUtbZfA/Obf79u2ze73izm2VKlXUeXUnzFx7Cfml1QZDkxHFpWR82b6lTkccF2nGJEz6dSxubH4LOtbudMEpvYiIiIgqkpRhv3jtDBw5ewi5psI+wJUp0BCIutH1K/R7kZZp1UjAJWXNxXXZ0/o72z5P9pXSZOlnXFxwJFnwkydPqvLsadOmqcyukEBt5syZ6jWkBFf6D0tGU8v2yvIVV1xR5PXi4+PVv5JZdVZabdteKVuWfuMSEEm2Wwu0bDOikomXbLTG9mfNn3/+qQJ1GbRKyr5t30MC/LfffrvIc4rLtMoxtg1uS6q48yLr5ebIhUhGVjtHEtyOGzfugu9ne66dvYd8DsebBNInXUrDpf/26tWrVfm4bXAt7ZABwCT4lr7wUoItmXO5OVNaL774Itq0aaNucEj3AymHl/7PjtuFXGNa//mSXOPys2Sp5eaLI63CwvF3x50wuPZCMhf2Dc374fpmN2Fvym78vn8p1hxeVWQ/2fZqyjRUD4/HdU1vRI+GvREaEOaSNhMRERFJUNsgppHXz7Ms2T4hg3xJNlbKqGNjY9VDBjjTSoK1TLMEWFLWK8GMNuiYlNhKGa0tyfxJn9axY8eqDLE8JGst/VJtS6C16YukJFdKg1esWKGy4pIJlMy07fRGEjRJ0CYBuARKkjF1zBjbkjJwyYrKa0hmXN5PPoP0+ZWATwt+5f3ON42SHBu5ISDBaFiY/fdT6TMs/XYl2JI2C8mIysBX8nm0/uW2JLCX4yfBm21AJgHf+QI0OVeOg87JDQY5/pJFvhCZj1nL1ktlgO3rCnltrVRbyLGScmeNlHrLOZESfSFZXXnvFi1a2L2PnGfpmyzl4dLX3bFEXUrNZTA06ZagkT7YtgHvhY6FRm4WaOeuQYMGqq++XNct/muT7XbbmwByvORals8sYw7YfmZpr2Tk5fqRa05u5kgfc+0YyE2i+++/XwXeGqm2OF8VhSu4V6hP5Z7NbhrXHI9dMRILbv8YVQILBoFwJH21P9i0AI9+8yDe3zhf9TMiIiIiovIn/UclmJWSXJlzWfpDS3AtZJAsGaDr008/xZEjR9TgXDK4lfRfts3ayXrpA+yY1ZSyZwlUZPAxKTvevHmzGoxKBifTSBAqg3JJoCxZ4VWrVqkASb43SjnvwoULVRtkwCsJqiUglgBZnicBmgTWEoTJa8hDC/i1/r3yGvKe0n9bPoP0DZZseHp6eqn6JEsfaSlpl77NjiQrLoGYZL8lGyzlwtKPV24iaEGrI8mkSqZTG2hMPo9k9uU4nK9fsQR0ciylhF3eR/p1y80LCSQlA3yxJNCUoFr6o8v1IDck5FxLNlkbGE0jNxikG4AcEzm3UjLteINDgm+5WSJl31p/ZlsSrEpGW647Kc+W/vq//fabdRR3OX+yviR9rOWcy0B18lqSDZfrUErlL0Ruksi1PHv2bFW6LtfHokWL1PUun1muQRnMTK4VOcZyruQho8JL8C43VTRyk0S22V7b7oCZax8RGhCK+Agp5ykInGMy/DBoa5Dqjy29soUF+cDGpVit+w1xYdVRJ7ouwgK1P+Q69X8FP1p/KPznv3U623XWfZ2tc3hN6z46m3/s18FhnS4wECFXXAG//8qUiIiIiNzdgAEDVBZYpsySgE+CWQkihQQYkq2Tcl7paywDO0mwKkG3LelP7SywkyyhTLckGV8Z/VtKsmUqJwk8NTIAlExvJCRgl/6v2kjZ8v7yHGmTZMAlky6BvwSx8roSBAnt+bZkUCkJQiVzLIGbBOLyHAmCpVRZgqXSkBJhGbXcGWm33ACQcnE5NhI0S59jGXysuGyyZP4lOJMB5CQwlqBcBo6TzLKzAF4j5+jdd99VN0VuvvlmFSBKZYFkyUtSFn4+0rdaHnL8ZYA2aZ9kn6XE25YEy5JxlkBY+k7L/lo/bltSWi/H3PH5Qo6VdCW47bbbVD9u+VwS2MvNE7kWpQpCAma53i5E60IgN10koJdjI8f3uM20Y8WRGy3R0dGqa4L0l5bny3nWbjDJTQI5tzJqvvyuyDUtmXipfNCqFIT0zc7MzLTL+rsDnYVzMpWI3C3Rhn33VKdenYncjRvhTfSRkag+Zy50Dv2XyPPIiKW7du1SZULlOTIlUXng9UnuylOvTSkXlkydlHTKF3RfIIGHBJkSJNgOauYpJOg7ceKECrqL+2zaIF1CAl6tLLy0g4hVFBlJXG4cSObfE8i80xKM2h5XKiA3CuSGhATpF/M3Rqo25AZFecd2LAv3IX4xsfA25tRUGN1s8ngiIiIibyM3bxz7PmskeJYst7uTwbwk+yvl0eS5zp49q6blkj7k7obpPh8Sfsst2L19PwzJiaq4Wq/ToWas/R/J3PwcZOSmq1E6dTYD+mmFJ0GGIIQFhsGg++8OpNrnvx21ARGs/1gK12ms+1jOu85yvv2MRlj+6x9i94ZEREREVCEcS9Od9ed1d1LGLSX5kvWUsnp3G2maSkb6ecv16G6DmQkG1z7EEBmJhJsG4INf/7Wu+2DCjYiNLFpGduD0Pnz371dqzuyCftmabBh0abim6Q24rXV/RARFVlLrbVqwcSPOvOq8BISIiIjIHcmI0Szvdb22bduqcmtPcOutt6oH2Zs8eTLcFW/X+Ji61SLslg8mnHW6X8OYxhjTYyJm9ZuHK+oWTFCvMVlM+Hn3D3j02wfx8d/v41y289cgIiIiIiLyFQyufTy4PnTy3Hn3rxFRE6O6j8f0619Hy2r2Q93nGnOwZOc3eOzbIVi0+UNk5mVWSJuJiIiIiIjcHYNrHxMS6I+okMLeAEeT00r0PMlkT7l6Kib0egY1ImrZbcsz5eK7HV9h+LdDVLCda8wt93YTERERERG5MwbXPqhqRID152MlDK6FDFffvtZleO3GOXii6zjUjKxttz0jL12ViT/x/cP4Y/9vMFvM5dpuIiIiIiIid8Xg2seD6+MpaTCZSxcEG/QGdK3fQwXZI7uOQ1xYNbvtp7NO4e21s/HUL2OwI6lgfnAiIiIiIiJvxuDax4PrfKMZSWcurq+0XqdHl/o9MOumeXig48OIDIoqMuL4s79NxOy/ZiIlI7nM7SYiIiIiInJXDK59UGx4YXCtZa/Lwt/gj+ua3Yg3b34Hd7UZhEBDoN32VYdWqFLxj/9+D9n52WV6LyIiIiJ30rt3bzRt2tT6aNasGS699FIMGjQIGzdudHXzqBgJCQm47rrrkJnJAXlLavjw4fj99995TZ0Hg2sfFBvub7d84lR6ubxusH8wbrvkLrxx83z0bHiV3bZ8cz6W7PwWI38YhuUHfofJbCqX9yQiIiJytQceeAB//fWXeqxcuRKLFy9GWFgYhgwZooI4cj9PP/00hg4ditDQUFc3xWOMGzcOzz//PM6dO/9sQ76MwbUPCg4wIDykMHudcCqjXF8/JiQWj10xEi9c8woaxza123Ym6zTmrpmFib+MVmXjRERERJ4uJCQEVatWVY+4uDg0adIEzz33HHJycvC///3P1c0jB+vWrcPu3bvRr18/HptSqFu3Ltq2bYuPPvqIx60YDK59VI2Y0HLPXDtqFtcCU6+diTHdJyI2tKrdtkNnDmDCz6Mw+69XcS77bIW8PxEREZGr+PkVTH0aEFCQ0Pjyyy9x44034pJLLlEByt13343t2wsHfv35559x7bXXqu0S9EkAqNFKzpcvX273HlJ6Luu/+eYb67qvv/5alTvL68i/EgiZ/xu89vjx42r/7777Dn379lX73Hnnnfj777+L/Rzy2rZl7/LYunUrTp48ibFjx6JLly7q8zz44IMqYNU89dRTmDhxIl588UVVJt+5c2dMnz4deXl51n0u9BqiW7duRd5/woQJ1u179+7Fww8/jI4dO6JVq1a48sor8f7775/33Mj2Pn36wGAwWNcdOXIEjzzyCNq3b4/LL78co0ePxunTp51+fu0h5PPMmDFDtbNdu3bqeEoFw/mOnzykO4EmKSkJo0aNQocOHdR7Dxs2DIcPH7Zul887ePBgu89gu279+vXqNeX8ahzXyY2eWbNmqePTunVrdY0tXbrU7jU3b96MgQMHquuiZ8+e6gZRRoZ9Eu7666/Hp59+itxcTr3rDINrHxVfJcz6c0IFBdfa9F2d6nbB6ze+jTsvuRtBfsF221cdWo5RPzyK5fv/B4vFUmHtICIiIvdnMZuRd+ggcnfvdslD3lvaUFYSLEn5rGS0e/ToobLXsixl4r/88gs+/PBDFZxMnjxZ7X/gwAGMGTNGBWYSZEugKP1b8/Pzra8ZExNjlwVPTEzEv//+a/e+n3/+OV555RX13J9++gkjR47EO++8g5kzZ9rtJ0GuBHDffvstGjRooMrajx07dt7PpJW9y6NRo0YYMGCA+pxvv/22KoMPCgpSwf6JEyesz/njjz+QnJystkuQLUH91KlT1TYJ2kryGtnZ2ep52ntLAGu7TdoeFRWlnv/jjz+qGxQvv/wydu3a5fRzZGVlYc2aNSp41KSlpamgUgJluRnxwQcf4OjRo+r4STCpvXf16tXtugAIuYGwevVqdYzleMoNDTm2K1asKPb4yWvYtkcLkj/55BMsXLgQ0dHR6lqQY1Ne5GaBHEcph//hhx9w1VVX4YknnrD2oZabGvfff7+6SSDb5fPs2LFDtdX2O7pcz3K8zndDxpcV3FIjnxNvk7k+nZaN7Nx8BAfa98UuT0H+Qbijzd24qvG1+GDTAqw98pfd/Nhz176BPw8ux0OdHkONiJoV1g4iIiJyTxajESlTpiD/wH6XtsO/YSNUfe456P7LPJfE/PnzrdlSo9GogrSGDRuqTGGNGjVUsChB5U033aT2qVmzJm6//XYVcIs6deqoLKL8K6pUqaJeQ17L37/g+5kEQ7/99htMJpPKuEogKYHOr7/+am3H3LlzVfb1hhtuUMu1a9dWQaxkICWQ0jz00EMqcy1eeOEFlSX/4osvVIBfHCl510jm8uzZsyorK20Vr776qmrjokWL8OSTT6p14eHhKtCV/udSKi+BthwH6bsrAdyFXkM+qwTQ8fHxKoBW5+e/4yFk2z333KMCY63v9IgRI/Duu+9iz549aN68eZHPsXPnTnXTQtqjkRsaMrDZa6+9hsjISLVObgbIDQq9Xm/97HLctS4AWrZbzoMErdp7SYAqgep7771nF8DbHj95DY28hwSrkv3Wqh3kGEnmWc7J448/jrKSmzfLli3DvHnzrG2S15V2yjo55tJeqSCQGwOiXr161vOxYcMGlVEXwcHBqFWrFrZs2YIrrriizG3zNgyufVR8FfvBG06ezkCDGtEV/r7RIVUwuvsE7EnehXc2zMGRs4UlLzuStmHskuG4rXV/3NTyNjUKeUmcfest6AICAZ1Klcv/s/4s/3O23vFnndP19uskCy8/+Neri7C+N5bqP7pERER0fsbkZJcH1kLaIG3xr1GjxM+56667rNlHCcYkEJTAUiOZaAlw5syZg4MHD6qgTII/rVxbAkYJrDdt2oT77rtPBX+SwZVARtOmTRtVFi4Zw8suu0wFdZKh1oLrM2fOqGy2BIhvvPGG9XnyHpIll/LgwMCCGV20QEl7bymnlvLqkpJ9JfjSgmIhWWcpJ7Z9HXld288gWWf5bIcOHSrRa8hgcHI8tYDXkTxXyuvlWEjQLNlmraxcO7aOUlJSrJUAjp/H9n1k1Hd5nI+8p5A22JLPGBERcd7n2r5GamqqukZsyTmTa0Yj14Zt1l5uvki5vS25YVLwfRXqxoRGrjUhJe+25D3letHaIdel7XtopB2214wc91OnTpXo8/kaRgc+qlq0fXCdeCazUoJrTdO45ph+/Sw1gviX2z5DvinPOqr44n8+wd8nNuLhTo+jbnS9C75W/qFDqEzZ69YCBj+E33hjpb4vERGRN/OLi1NZY1cH2NIGaUtpSFAmgz0VZ8mSJaqPrPS5loBIgnEJ6LTMtW0w+v3336sy45deekmVGEs/XCFBk2QRpTRcAkMJPLt37259rhZMSpmys4yiZH8lcyy0DKlGAjEJYkuquK580gbb13Z8H62NkgEuyWtIUCg3HbSA0Vmg3L9/fxXsSR/mrl27qv7EktEvjvY5bYNPx3aWlPYZJNPuOOp4SY+nfN769eur0nhHthluuTZsy/vlZ8dRuxcsWIBq1aqpn//55x9VIXCh9mufXdoh16eWubZlewPkYq4XX8Lg2kfFRRX+sorkc5U/x5+f3g+3tLoDnet2xYJ1c7A9cat1275Te/DkTyNwTZMbcHe7e1VZufV58fFwNePx8/dLIiIiotKRirCqL7yA/COHYcktHPSqMukCA+Bftx505Rw4SNAjZeBSnq2RMl0twJGMtAwmJYN7STm5PKTEWwYO04JrIYNwyUBhEshdc8011sHShATcEgRJ32nbQF9KniUgl/JsjQykZjsgl/StlT6+JaUNiiYDfmkZYMm0Sh/wm2++2bqfZJG1MnYhpcSSyZZgsiSv8eeff6osfXEkYy0BppTUa+XiWpa2uOBdK8+WTL+U5wvpQy4DzqWnp1srDuSYSB956Uctfa2dady4sTXIb9GihXX966+/roJP21L84kh5utxQkffVgljJfEuJvvQflz7fWlbf9rzKNeAYXEsXBCnZFlLFoNHOtVQ99OrVyy4bLp9d+yz79++3ew/JWEu5uvTXtq3EkGMno+JTUQyufVRIkD9Cg/yRmVMwUEbKuSyXtaV6eDyevuoFrDq0Au9vnI/MvIJRCc0WM37ZswSbEzbhsc5PoHm1Vmq9f61aiH58hMogS/8syB9P9ffT4vRnSzHri9/HZpv6seDnfBltUd6PiIiIKoQEtQH1G3jd0ZWssQTPErBJkCIDfcngVVpwK+Xa0k9YSoklWy3BtvRHlhJpWxJoygBYMuiVY6ZTsrsyb7MEdhJkSVZbAs1nn31WjRBtG4hLX/DY2FgViEmfW+m7XJrgWjKc0s9cBvyS7Ki8tpS8S9skk6yR7Lpk56UfsgRqs2fPtpa7X+g1JNCTftnyHK2UWws8ZeRr6SMtQa+0XUrjpeRZSu6nTZtmPa7OSKm3HG8pg9aCa2mL3MyQdkh7pK+7HDcJfIsLrLWAVILVKVOm4JlnnlHL0hb5XFo7LkT64cvNF+krLu8v/dOlLTJfekmC85KQmzXSTrm5I9eJBNDS11tu8Mi1IGTgMum7LvvIOZJ+4Np0clIyr5HrUs6r47VJBRhc+7CqUSHITEx1eXAt5Be9e4NeaB7XEu9ueBubT2y0bktKP4kpv03E9c1vwoC2gxHoF4SQLl3UozIljRoJ48mTlfqeRERE5PlkhGYJviRokSBSAjwZ1VumX5IssgwkJYGMDIr25ptvqmBclh2ztpIBlkBZysYd++hqAZIEjhJ8y4jgEkBL0CyBmy0ZpVsy2RIkSV9u2b80mUi5QSA3B+Q9pI+4kOD2s88+U4OoaaREW9osWXt5jgw+JgOuleQ1tGyrDL5WXMAofc7lhoW8hgzcJsHyHXfcoYJGOa7yOZ2VWkvZvAzidvXVV6t1EuzLgF4SEEvJvmSJZeCv8ePHX/BYyM0Mecj5lb7TUsYuA5LdcsstpTqWcj3IVGSS6W/ZsqW6FuQzlhfpWy2PSZMmqcBZbhzItaYdA5kKTW7wSH99abscJ5k+TY6B7Y0ZGdxMbgI5u/4I0Fk4/1GJaPMQyh8JTyZ3A2VqAhnRcMYXm7BpT0Gw2KhmNF4f3gfuYsuJTZi/7i2czrIfLCE+oiYeu2IkmlYtOvpjZQbXIT16IPqRRyu9Dd7M9tq07WNE5A54fZK78tRrU7JhMqiVlAdLIEOVQwY1k+D8448/thugqiJIUCYl6hK4284nXVISXEuQrJU525L+6xJIX+xI2nJzQkqdV61aZRc40oXJnOJyc0huDHny35ht27ap5F55x3bsie7jmWvNqVTXZq4dtavZAa/eOAe9G9kH/CfTTuDppeOx8O/3kfffIGhERERE5F0k615cUC6l02W5mSSVApK5lT7fVHJS2i8JRynzJ+cYXPsw2+D6XEYucvPdqz9xaEAoHuk8Ak/1fhbRwYWjFFosZvyw8xuM/fFxNfAZEREREXkXyS5LebwzkydPViXUZSGjsUspuPTdppKREcql/F2bc5yKYp9rH1Y1yn7KgFPnslGzauFIgO6UxX7txrn4cNMC/HnwD7ss9pSlE9S82P1a3a5GHyciIiIi56TEWhtNu6JJ8Cqlue5K+nXLKONUcs6mCyN7zFz7MMe5rl0xHVdJhQWGYXiX0Xiy59OIDCq8W6bNiz3h51E4eNq182ISEREREZHvYnDtwxznuk46677BtaZj7cvx+k1z0aq6/fD/R84ewlO/jsWyfb+5rG1EREREROS7GFz7sOjwYPgZCi+BZA8IrkV4YASeuWoqHrtiFMICCsvYTWYj5q2bjVeWv4jjqcdc2kYiIiK6ME5aQ0Te9LeFnVR9mF6vU9nrhNMZajnpjGcE10KGzu/Z8Eq0rXEp5qyZha0Jf1u3bTy+DpsTNmFYp8fVPhUhe9065O7YCeh10hr1f9DpoVP/6oo+1Ob/bmTYrdep9QFNmyLirrug8+OvJBEReT9/f3/rVGIyxzARUXmSvy22f2sqC7/J+7i46FBrcJ3iZtNxlURUcDQm9p6CJTu/waItH6uRxLUs9pw1r+Pw2YO4p/2D0OvKt0jDkpsLU25Kub1e3r698KteHaFXXVVur0lEROSuZIolGXE4OTlZLcu0SnLjnLyHyWRCbm6u+vli5rkmutiMtQTW8rdF/sZU9rXH4NrH2U7HlXLO84JrIYFzv5a345L4dvhk84fYdnKLddtPu75HUnoiRnQdi2D/st0Z96/fAMaTJ1FRjCkFXzCIiIh8QfXq1dW/WoBN3sVsNsNoNMLPzw96rXqPqJJIYK39jalMDK59XGxkYXB9Jj0bJrMZBg/9A1i/SkNMvvJ5fLV9Mb7851NYUNDXYtPx9Zj061g80XUc6kbXu+jXjxoyBH61asJ85mzBa1uKPlT/DvWQW2dm+3/lWWa1wrp/zubN8l+f8jsIREREHkIy1TKPcVxcHPLz813dHCpn2dnZOHjwIOrUqcPSf6pUUgruqmoJBtc+zja4NpstOJeegxibdZ74H+o7LhmAWpG18dbq15FnKihHOnbuCJ76ZQyGXP4IejW8uNJrfUgIIm69rVzbm3D/fbBkZ5fraxIREXkS+RLMsmHvzFyLwMBABAUFubo5RJXCM1OUVG5iI+1LpT2x37Uznet2xfPXTFd9sjUSaM9dMwsfbXqXo5MSEREREVG5YnDt42wz1+J0qvdkURvGNMbMvm+pvti2ftz1HRZu/gDm/wY/IyIiIiIiKisG1z7OMbj2lsy1JjIoEk/1fhZ3thkok15Z18vo4jNWTMXZ7LMubR8REREREXkHBtc+LiTIHyGBhfO/nfay4FoY9AbVD3tY58ft1stAZ+N/egIHTu93WduIiIiIiMg7cEAzQkxkMLKSC0bpTPGisnBHvRv1QaBfEN5a/RqMZqNadzb7DKb8NgEju45Dh9qXu7R9xoQEZG/cKKOyqYdOG7VdL8v6gnX/bbNdJw+/uDgYoqJc2n4iIiIiIl/G4JpQNTIEx5LT1JE45aFzXZdUl3rdUTU0DnPWzEJC2nG1LteYg5dXvIB+LW/DgLb3qEy3K+Rs3KgeF0WnQ5WRoxB8uWtvEBARERER+SqWhZPKXGtOp3l3cC2aVG2G6de/VmSgs+93fI0Xfp+M9Nz0SmuLLjCwfF7IYkHmihXl81pERERERFRqDK5JZa41Z9JyYDJ5/yjawf4hmNh7Cvo2v9lu/Y6k7Zjw80gcTz1WKe0Iu/76gtLu8pCXVz6vQ0REREREpcaycEIVm8y12WLBuYwcxDiMIu6N/PR+uLfDEDSLa4G5a95AVn6mWp+ckYQpSyfgyV6T0bRq8wptQ/hN/RDa+0qY0tJU9hmwyEko+NlihsV8/nWpH3+E/EOHKrSNRERERER0YQyuCTERDnNdp2X7RHCtubzOFagZWRvT/3gOSRmJal1abiqe++0pPNxpOHo0vLJC318fFqYeF/Xc0NBybw8REREREZWez5SFJyUl4eqrr3Z1M9xSrE3mWpzy4hHDi1MrsjamXf86GsY0tq7LN+fjrTWv48ttn7m0bURERERE5P58Irheu3Yt7r33Xpw6dcrVTXFLsQ5Z6lNeONd1SYQHhuO5PtPQqU4Xu/Vf/LMIH216FyazyWVtIyIiIiIi9+YTZeFff/01Zs2ahQEDBri6KW4pNMgffgY9jP8NZCZ9rn2VzIM9qvt4la3+yiZj/eOu73Ai7TjG9ngKAYYAuKP8hBM4++47/82FrQdknmw1X7bNnNj6/+bP1umhDw9HSLduF12STkREREREPhZcz5w509VNcGsSjEWFBVkz1mmZufBlep0e/dsMRHhAOD7YtMC6fsuJTZj910yM7j5B7eNuzGfPIuv330v1nOxNG1H16WcqrE1ERERERL7C/SKEi/Tjjz+ie/fudo9p06a5ulkeIyK0MBubluXbwbXm+uY3qUBastma9UfXYN7aN92mRFwfHV2m5+ft2lVubSEiIiIi8mVek7nu27evetDFiQgJtP6clsX5kjWd63ZFleAYPPf7JOSbCo7L8gP/Q4BfAB7sOKygBNuFIu64E+bUVBgTk9Q0XWq6LrMFFvnZ/N+yxQKL7c8yH7bpv5sDavovIiIiIiIqK68JrqlsIkJtgmsfLwt31DSuOZ7oOhavrZwOswStAJbu+Un9+0DHh11aIu4XF4fYpyaV6jlp33yN9C++qLA2ERERERH5Iq8pC6eyiQgpLAtPZ1m407mwx3SfCB0KM9USYL/516vIN+Xz8iMiIiIi8nFuGVzPnz8fgwcPtltnNpsxe/ZsdOvWDW3btsXQoUNx7NixUr3uli1byrml3lsWbjazXNjRZXU6Y1jnx6GzyVT/dfhPPLN0PHLyPXeEdVNaGkzp6TBnZsKclQVzTo4qHbcYjbCYTLCwdJyIiIiIyPPKwhctWqSmzerQoYPd+rlz5+LTTz/F9OnTUb16dcyYMQNDhgzBkiVLEBBQOVMjSZCRleXZc0BnZ2fb/asJ8i/MyEpgfepsKsKC3XPKKVfqVKMr/C4PwNsbZsFoNqp1+0/vxasrXsJjnUa77TRdtvLzbTLtFgsSHxp64ScFBCCw95UIufPOSr82idwBr09yV7w2yV3x2iR3JnFdRYydpLO4SVoqKSkJU6ZMwfr161XwHBsbi4ULF6pteXl56NSpE8aOHYu7775brUtLS1NZ7KlTp1bKQGbbt29X7fBW/x5Lx1frk6zLj19TBzHh7h8ousrhjAP47sSXyDEVBoI1gmvhrrr3IkDv3sctdP06hK9ceVHPTX54GMwREeXeJiIiIiKiyiQJ2tatW3tn5nrHjh3w9/fHDz/8gDlz5uDEiRPWbbt370ZmZiY6d+5sXRcREYEWLVpg48aNlTZKuLSvUaNG8PS7iIcPH0a9evUQHBxsXW8MSgFsguu4GrXRpFYVF7XS/TVHczRp2BTTVz6PPFPBAHAJ2cfxTeJneLLbZIQGhMFdGUNCkL5mDWAsyLyXRsP4ePjVqVOp1yaRO+D1Se6K1ya5K16b5M727dtXIa/rNsF179691cOZxMRE9W98fLzd+ri4OOu2yiClAyEhIfAGErzYfpaq0fbZyDyT3ms+a0VpHdIGT1/1Al5Z8SLSc9PUusPnDuLVNdPw9FUvIjQgFG6peXOEzJiJvH37YJH5umWaLpm+S/2rTedlVsvGE8eRtWKF9alBQUEIqODrwvHaJHInvD7JXfHaJHfFa5PcUUVNp+s2wXVJ+mw49q0ODAxEamqqi1rlvVNxCY4YXjLN4lrgyZ6T8dIfzyI7v6A//oHT+/DSH1PwzFUvItAvqALOVtn5SQba4WaVMzlbttgF10RERERE5MHBtWTLhPR51n4Wubm5LB8tJ+E2U3GJNE7HVaoA+6XrXsWzv01Eas45tW5vym5MX/48Jl/5Agx6A7xFzt+bYDx6BNDr1UP337/qodPDUKUK/OvVq7C7gURERERE7sojgmutHDw5ORl1bPp7ynLTpk1d2DLvEejvh0B/A3LzTWo5LdN7B2+rCLUia2PK1S9h8q/jkJWfqdb9m7gNc9bMwiOdR8Df4A9vkP7llxfcJ/yWWxHRv3+ltIeIiIiIyF245TzXjpo1a4awsDA1krhGRgvfuXMnOnbs6NK2eZNwm7muWRZeerWj6uDJXpOht5kHe9Wh5Xh66ZPIzMuAJ9KFlH5gsazVqyukLURERERE7swjgmvpaz1o0CDMnDkTy5YtU6OHjxo1Sk3Z1adPH1c3z2tEhBaWhrMs/OK0rNYa43s9DYOusBRc+mDLoGf5Jpv5pT1EQMNGCGrfvlTPsRg973MSEREREflEWbgYMWIEjEYjJk+ejJycHJWxfu+999T0WFQ+Imwy12lZLAu/WJfW7IiJvafg9VWvWDPWO5P+xYwVL2JMj4luO8iZMzo/P8SMexLmrCxY8vP/G1m8YCRx25/Tv/4K2TK9FxERERGRj3LL4Hr69OlF1hkMBowbN049qBKC68yCuZvp4rSpcSkmX/m86oNtshT0Y9+S8DdeXPaMmqYrwGA/gJy7019gaix9WOG83pbsbGT89FPhoGeGwkHPJFgPaNIUfnFxldBqIiIiIiIfD67J9SOGpzNzXWaNYptgXM9JmLVqBnKMBdPJ7U7eiZkrpmJU9/EI9vfOuZwluE5d+HGx23UBAaj60jT416pVqe0iIiIiIoKv97mmyp/rWgY0s1gsPPRl1L7WZZhy9VSE+Ida10kG+7WVL8NoNnrN8dWHFn6+C7Hk5SF327YKbQ8RERERUWVjcE1OM9cmswVZuRyYqrwy2BN6P4NAQ+HNi60Jf+Pd9W97zQ2MkCuvgn/9+iXe32IuKJUnIiIiIvIWLAsnp32utbmuQ4M8q2+wu2oe1xITr3wWL/7+tDVjvWz/UgT4BeCBjg/D0/nFxiJu2vQiA52pf00mIC8PiY89at0//8gRZG9YD+gN0BkMgF6H/Hwj/JKSYOHc9URERETkgRhck9N5rrXS8PiYwoGqqOzTdI3uPgEz/nwJFotZrftl9xI0rdocXep194rDq/tv4DL1s816i9G+BD571Sr1cBQLIHP7NoROmFjhbSUiIiIiKk8sCyen81wLjhhe/jrW7oRHOj1ut+6d9XNwIvWYd1+JEnCXcNq8/K1bYUpPr/AmERERERGVJwbXVHxZOEcMrxC9Gl2NW1rdYV3OzMvEy8tfQFpOqtdejZLRDu97I6CzzWefh8ypTURERETkQVgWTk5HCxdpWZzruqLc2WYg/k3chn2n9qjlk+kJeHnFC3j26mnwN5Qsw+tpIvr3R1jfvjBnZhb2yZb+2GYTsjdtQvqXX1r3zVy+HPrwMOgMfoBB5sr2gz48HIEtW0JXwgw4EREREVFlYnBNVoH+Bvj76ZFvLOgPzLmuK/AXT++HMd0nYtKvY3E665RatzdlN77c9hnubneP116VMmWXs2m7ZIAzW+lffuH0+UHtOyBm3LgKax8RERER0cViWThZ6XQ6u9Jw9rmuWDGhsZjY+1kE+wdb13377xdYe+Qvn7sqdaElGzgvZ/PfRQZHIyIiIiJyBwyuqdjScBktnCpW3eh6uK/DULt1c9bMUvNg+5Kg1q3h364dLBfqky3zgnvJ3OBERERE5F1YFk52wkMKRwzngGaVo1fDq7EzaQf+PLhMLecaczDtj+fwaOcn0KPhlT5xheoCAhD2+Ajs2rEDzZo0QXBgoOqPLXNkZy5divSvv7Lue+bN2dD5+Vv7Ystzgzp0QNAll7j0MxARERGRb2NwTXZsy8KZua68cvxhnR9Hem4aNp/YqNaZLWa8ve5N6HR6dG/Qy3euUr1eDVimDwqyrtKFFJbNi5wNG4o8LfN/vyFuxkz416pVKc0kIiIiInLEsnAqPnOdybLwyhzg7Mmek+0CaZPZiLdWv4YlO7/x6avUr2rchXeyWJB/+HBlNIeIiIiIyClmrqnYPtdSFm6xWFRmlSqeQW/A8CtGqy7Fqw4tV+sssODjv99Xmex+LW/3ydMgJd/hd9yB3G3bCgYzk3JxoxGWvHyYkpOs+xmTEpF38CB0BgNgMEAfEgJDlSoubTsRERER+Q4G11RsWbjRZEZ2nhEhgZxXuLLIjYzHrhiJsMAw/LJ7iXX9J5s/RJ2o+mhXs73PXbE6vR4Rt90OyMOGMSUFSY8Pty7LPNm2c2WLoMsvR5WRo3iDiIiIiIgqHMvCyU6ETVm44FzXrslgP9DxYdzW+i679bP/monjqcdc0CL3JH2zLyRn/XqYThXMI05EREREVJEYXJOdcJvMtWC/a9e5q+0gXNmoj3U5Iy8dk38d63PTdBXHEBWFoEsvveB+lpycSmkPEREREfk2loVTsX2uBYNr13rwskdUtnpPyi61nJmXianLpmD+bR+hSkgMfF2VseNgPHEc5swswGSExWhC3p49SP/ma+s+yRPGQ+fnB/j5qX8DmjRB9LBHoA8NdWnbiYiIiMi7MHNNxY4WLjgdl2v5G/wxsfcU1K/S0G69zIOdb8qHr5P+2P616yCwWTMEtmyFoDZt4N/Q/lipAdByc2HJzIQ5NRU5Gzcic9nvrmoyEREREXkpBtd0/sx1Vh6PkIuFBoRhytVTER9ew7ru8NmDeG/D2zCZTS5tmzsKaNgQumD7ubEdmc6ehcVsrrQ2EREREZH3Y1k42QkO8IOfQa9GChdpWZzr2l0C7GeunorxP41EWm6qWrds/2/Yf3ofXrjmFQT7nz+Y9LW+2FWnvoTcrVsKMtbGgqm7Mn7+CcgvyPZn/vKLekCvV6Xi/o0bo8qIJ2CIjHR184mIiIjIQzFzTUWmgrIdMZx9rt1HbGhVDOs8Ajpd4a/tkbOHMP7nkWoebCrkX6MGwq6/AeG33IqIO+5A5IABat7rIsxmWPLykLdjB0vFiYiIiKhMGFzTeUcM51Rc7qVj7csxtvtEu3Un007gm+2fu6xNniKoTdvzbjcmJsKYnKxKxs1ZWZXWLiIiIiLyDiwLp/P2u2ZZuPu5rE5nPNxpOOave8u67vN/FqFltdZoXq2VS9vmzqKGDkVQhw4qeIZRRhY3qlHFpXRcZK9cqR6aoMsuR5WRI9WgaUREREREF8JvjXTeEcOZuXZPVzW+Fg9dPtxu3csrXkROPud0Lo7O3x/Bl12GsGuuQdgNNyC8Xz/ow8KK3T9nw3rkHzlcrueNiIiIiLwXg2sqIiy4MLjOzOZo4e7q6ibXomnVFtblzLwMvL9xvkvb5GmCr+hy3u3Zq9cga+VKZK1di/zjxyutXURERETkeVgWTkWEBBZeFlm5Rh4hN/bYFU/g6aXjkZpzTi0vP/A/tI5vg271e7q6aR4h4u67EXxFZ5jOnFUjieefOI70L7+0bs/4cYnd/lVGj1HZbyIiIiIiR8xcUxEhQYWZ66zcfFgsFh4lNxUfURNjuk+wG0H8g40LWB5eitHxA+o3QHD79gju1AnBnTqfd//sDRvKdsKIiIiIyGsxuKbzZq7NZgty8pi9dmcyiNnNLW+3LqfnpuGtNa/BZDa5tF2eyK9GDYT07q3mv3YmZ8tmpDz9NFJeeB5n580rGByNiIiIiIjBNTkTatPnWmTm5PNAubl+LW9FeGCEdXn90TV4d8PbLm2Tp2ayox96GDU++hjx772P6vMXwK9WLet2S2Ym8vbtVfNiZ61YjnMffuDS9hIRERGR+2Dmms47oJnI4KBmbi80IAxP9pwMvU15+O/7fsUvu+37DFPJRxbXh4bCEBkJ/3r1i90vZ/16pC/5ARm//oKcf/5hFwoiIiIiH8YBzaiIsGB/u2UG156hWVwLPNDxYbuMtYweLuXhfVvc7NK2ebKo+++HISYGppQUWIz5yHHod522aJH158jB96hpvoiIiIjI9zC4piJCbQY0E1ksC/cY1zS9AcfOHcXSvT9Z133097uIDIpEtwa9XNo2TyUZ7MgBA6zL595/H5m/LXW6b/r33yGwXTvoAgJUQC5l5kRERETkG1gWTkWEFslcs8+1J3nwsmG4s81Au3WzV7+Kw2cOuqxN3iSsb1/4N24MXWCgdNK222ZOS0Py6FFIGv6Y+td0rmCKNCIiIiLyfgyuqYgwh8x1Zk4ej5IHkWzp7a3vQue6Xe3Wv7XmdWTnZ7msXd7CLy4OcS+8qAY9q/nZYgS2aeN0P+PJkzg75y3k/LMV+UcOsz82ERERkZdjcE1FBAX42SXkWBbumQH2Q5cPR+2outZ1R84ewtRlzyLfxEqE8hTSs/hy+9zt23F62jQkjx+Pcwvml+v7EhEREZF7YXBNRS8KvQ4hgYWl4ZyKyzOFBYZh0pXP2U3RtSdlJxZt+dCl7fI2IZ07o9pbcxAzaTKqjHuy2P2yli9H3oH9yD9xAhazuVLbSEREREQVj8E1ORUSVBhcM3PtuWJCYtUUXX76wrELf9r1PY6cPezSdnkbv9hYBLVujeD27RF+551yh8rpfimTJiF5zGgkjx0DU3p6pbeTiIiIiCoOg2tyKtQmuGbm2vOn6BrVbbzdurfXvgGj2eiyNnmziFtvQ/y776Ha7DcRetXVTvcxJiTgzOuvIeuvVcg/dqzS20hERERE5Y/BNTnFzLV36Vi7ExrFNLEuHzi9Dy/+/gwH2aog+pAQNfBZ2M03Qx8V5XSfvJ07cfatt5D85DjkbN5cUU0hIiIiokrC4JqcYp9r7xvgbGS3JxHkF2xdtyNpGz7/Z5FL2+UL5eLVZ7+JqlNfQszEic53slhw+pWXkb5kCXK2bOENDyIiIiIPxeCaLlgWnpXL0aW9QbXw6hh6+aN2677evhi7k3e6rE2+QBcQgICGDRHUpi0i7rqrYH5sJ9IWfYLTL09H5q+/VnobiYiIiKjsGFzTBcvC2efae3Rv0At3tR1st2768udxOvOUy9rkS8JvvgXxH3yI+A8/gl98vNN9Uj/6EGfenI3077+Dxch+8URERESegsE1ORUaFGD9maOFe5dbW92J2pF1rMuZeRkY9s19SM0+59J2+QqdXg99UBCihg2DX+3a0AUFFdkne/VqpH32GdK/+9YlbSQiIiKi0mNwTRfMXOfkGWEycV5eb+p/Pb7XM9BBZ7f+9VUvu6xNviiwaTNUmzETNT78CCE9ezrdJ/2rr3Dy0UdwZvYbMOfkVHobiYiIiKjkGFzTBftcC/a79r7+19Ouf81u/usdSdux+tCfLm2Xr4q4eyBCel+JgObNi2wznzmD7DVr1NzYmcuXw3TmjEvaSERERETnx+CaLpi5Fux37X0axjTGs1dPg05X+Gfgs60LkWtkhrSyGSIiEP3QQ6g65VmE3dTP6T6mU6dwbv48JE+cAHNmZqW3kYiIiIjOj8E1lSxzncMRw71R07jmuKnFrdblpIxETs/lYhH9+yN6+HCE33670+3m1FQkjngcqQs/ZhabiIiIyI0wuCanmLn2Hf1a3oao4Gjr8q+7f0RyRpJL2+TLdAYDQrp2Q8Ttd6DK6NEwxMQU2ceSmYmMn35C8oTxMCYnw2LmmAhERERErsbgmpxi5tp3hAeGY9Cl91uX8835GP3Do8gz5bm0XQQEX3Y5qs+Zi+oL3nF6OMxpaUga8bjqj206x9HeiYiIiFyJwTU5xcy1b+larwfqRtezLueacvHVtsUubRPZ98muMu5JBLXv4PSwGBMSkDjsYaR+9ilMZ8/y0BERERG5AINrcoqZa99i0BvweJcxduu+3/EVtp/c6rI2kb3g9u0RM24cqk6bDl1goNPDk/H99zg94xVYTCYePiIiIqJKxuCanAoO8IfOZhrkzFwOaObt6kbXx/Auo63LZosZb/w1E5l5GS5tF9kLqF9flYrHPv2000OTf/AgEgYPUnNjW4xGHj4iIiKiSsLgmpxfGHqdCrA1HC3cN3Sv3wtXNupjXU7NOYevt3/u0jZRUfqwMAS2bIWqU19C0GWXFd3BbFZzYycMGojTM2bAlJbGw0hERERUwRhcU4n6XWfmcHArX6DT6fDgZY/YjR7+487vsCd5l0vbRc4FNGyImNFjEPvsc3JHzOk+OX9vQuJDQ5Hx228w5+byUBIRERFVEAbXVKJ+18xc+w5/gz9ublk4x7IFFjz/+2T8m7jNpe2i4gU2a4a4GTMR9dDDxe6T+v57SHpiBPKPHIHFYuHhJCIiIipnDK6phJlr9rn2Jdc27YumVZtbl/NMuSrAPpmW4NJ2UfH8a9ZEaO/eqPbWHEQMGuR0H/O5c0ge/yTOzZ/HQ0lERERUzhhcU7GYufbt0cPH9ngKQX7B1nUWixkf//2eS9tFF+YXG4vwvjci7uWXEdCypdN9slasQOLIkchcsZyHlIiIiKiceH1wPWPGDPTt2xc33HADPv74Y1c3x6Mwc+3bpN/1qze+BT+9n3Xd38c3ICk90aXtopLxr1sPVZ9+BnEvvwJ9RESR7abEkzg3bx4Shz+GzN9/52ElIiIiKiOvDq5XrFiBPXv24Pvvv8eXX36JxYsX48CBA65ulsdg5priwqphRNexdv2v566dxT67HsS/bl1Uf3seokc84XS76dQpnHv3HZz74H0YT56s9PYREREReQuvDq7j4+MxatQoGAwGhISEoE6dOkhKSnJ1szwyc80BzXxXpzpdUDuqrnV5Z9K/2Hdqj0vbRKWjk7+BV1yBqi+8gJCevZzuk7l0KZJGjYTpzBkeXiIiIqKL4NXBddOmTdHyvz6H//zzD/79919ccsklrm6WR2aus/OMMJnNLm0PuW56rkGX3me37sNN78Bs4fXgaQIaN0H0sGGqP7bT+bEBJD76CJLGjYUxObnS20dERETkybwiuP7xxx/RvXt3u8e0adOs27du3Yrhw4er/tdhYWEubasnCQksDK5Fdq7RZW0h17q0ZkdcXucK67JkrjccXevSNlHZ+mNXGTUaEQMGON1uPHYMSSMex8mhQ5C7Zze7ARARERGVQOFIRR5MBiyThzOrV6/G+PHjVWDduXPnSm+bt2Sutem4woIDXNYecq37OgxVA5oZzQU3WRZvXYiOtTupkcXJMysSwvvdjNCr+yD5qYkwJRYdqM6cno5TU6YgqEMHRA9/HPqgIJe0lYiIiMgTeEXmujhHjx7Fk08+ibfffpuB9UUICbIPpLNy8srr1JAHig2tiuua3WhdPpF2HL/vW+rSNlHZ6UNCUO2VGagy7sli98nZtAkn77sXZ956E/kJnOuciIiIyOeC63fffRd5eXmYPHky+vXrpx6rVq1ydbM8OnNNvq1fi9vspuZ6d8NcrD+6xqVtorLTBQQguH171Pj0M8ROebbY/bL/+gvJo0ch7euvYc7K4qEnIiIicufgev78+Rg8eLDdOrPZjNmzZ6Nbt25o27Ythg4dimPHjl3wtZ5//nls3LhRTcWlPeQ1qPSjhQuOGE6RwVGoGVnL7kDM/PMlrDuymgfHC+j0egQ2b46aiz9HzKRJxe6X/uUXOPnA/TClpVVq+4iIiIjcmVv1uV60aBFmzZqFDh062K2fO3cuPv30U0yfPh3Vq1dX/aeHDBmCJUuWICCg8voAWywWZHl4tiY7O9vu3/PRW+wHMDubmunxn5/K7qH2wzHp98K5r8Xsv2bCYDagZbVLKuXapErQsBGi5sxF7qqVyF682OkuiQ8Nhb5qVYQ+OAR+TZp49Wnh9UnuitcmuStem+TOJK6T8WfKm84ir+xiMvf0lClTsH79ehU8x8bGYuHChWqblHV36tQJY8eOxd13363WpaWlqQz01KlTix3IrLxt375dtcWXZOeZ8PIPh6zL17eNxWWNolzaJnIPGfnpWHj4PaTmn7WuCzIEY1ijkQgycNArbxSy+W9ELFtW7Pachg2RdnUfmMPDK7VdRERERBdDkrStW7eG12Wud+zYAX9/f/zwww+YM2cOTpw4Yd22e/duZGZm2g1IFhERgRYtWqiS78oKroW0sVGjRvD0u4iHDx9GvXr1EBwcfN59zWYLYBNcR0THonnzxpXQSvIE7Vpdimkrn8P+03vUco4pGz+f/g6TejxX4dcmuUDz5jDffAvSX3wB5qSkIpuDDhxA0IG3EdD5CoTcdx90/vbdSjwdr09yV7w2yV3x2iR3tm/fvgp5XbcIrnv37q0eziT+Nz1MfHy83fq4uDjrtsoipQMhISHwBhK8lOSzBAf6Wee3zjfBaz4/lY8pV0/FkK8GIdeYo5b3ntqFYxlH0DSueYVfm+QCISEIfX0W8nbtxNn5C2BKLhpk561dox5hN/RFxMCBqh+3N+H1Se6K1ya5K16b5I4qoiRc6D2lv4Zj3+rAwEDk5ua6qFW+OWI4RwsnR0H+QbipxS1266Yvfx4nUo/zYHnzoGctW6H67NmIffppwOB8nvOMn37EyaFDYKzkm6BEREREruL2wXVQUEH/Tcf+zhJYs3S0ckcM52jh5MydbQYiPryGdTkjLx2jljyKNYc57Z23kyC75qJPUWWs/QB3GktmJpJGPoGzCxbAks+p/IiIiMi7uX1wrZWDJycn262X5WrVqrmoVb6DmWsqiUlXPo/IoMLB7iwWM+atm42sPI4u7wuCO3REjU8WIfKBB51uz/pjGRIGD0LGr7/CYrSfhYCIiIjIW7h9cN2sWTOEhYWpkcQ1Mlr4zp070bFjR5e2zReEBBaW42fl+tZo6VRy1cKr49k+01AjonAO7Oz8bPxv3y88jD5C5+eHsD59EP/e+zDExDjdJ/XDD5AwaCDyKmgQESIiIiJXcvvgWvpaDxo0CDNnzsSyZcvU6OGjRo1SU3b16dPH1c3zesxcU0nViqyNmX3fRJBf4Ujfqw6t4AH0MfrQUFR7Yzaihgwtdp+UpyfjzJuzYc5iZQMRERF5D7cPrsWIESNw++23Y/LkyRgwYAAMBgPee+89NTUWVSz2uabS8Df4o2v9HtblI2cPISmdA1r5YhY79KqrVKl42A03ON0ne/VqnHzgfuTbTL1IRERE5MncLriePn06Fi5caLdOgulx48Zh7dq12LJlCxYsWIBatQrLT6niMHNNpdUsroXd8kd/v8uD6MNBduTge1Dj44UI7tLF6T7JY0YjefIkmP+bGYKIiIjIU7ldcE3um7mW+a5NZrNL20Pur1v9nogNrWpd3nhsHTaf2OjSNpFr6QICUOXxEag26w2n2/P378fJ++9D4hMjkJ+QUOntIyIiIioPfqV9wtmzZ/H777+rLPLx48eRnp6O6Oho1KhRA927d0fPnj0RERFRLo0j98pcawF2WLD9nONEtvQ6PQZdej9mrXrFuu7Dje+gXY0O0Ol0PFg+zK96dcS//wHOvfsustesLrLdlJSE5NGjENK7N6KGPsTrhYiIiLwzc33mzBlMnToVvXv3xgsvvIBDhw4hLi4OrVq1Qnh4OPbt24cJEyaoAFtKu0+fPl2xLadKz1wLznVNJdGlXne7ua9PpidgxcFlPHgEfUgIqowYgWqz3yz2aGT98QcSBtwF07lzPGJERETkXZnrX375RQXUl1xyCV588UUVYAcHF44IrMnIyMDKlSvxxRdf4IYbbsAzzzyD66+/viLaTS7KXGfm5PPYU4k80e1JTPh5pHX5u3+/Qq+GV/HokeIXF4eaiz9XZeBnXn8NxmPHihyZxGEPw79ePcRMmAhDVOE86kREREQem7n+9NNP1ejc8+bNU0Gzs8BayHzUEkx/+OGHeOedd7Bo0aLybi9VMmau6WI1jGmEq5tcZ11OSDuOV/+cBovFwoNKVv41aqDajJnF98c+fFgF2bn//sujRkRERJ4fXMvo3c2bNy/VC7du3ZrBtRdg5prK4sbmN6s+2Jp1R1dja8JmHlRy2h+7xqefIahjR6dH59SLL+DEXf2R9tWXvEFDRERE3jFa+KZNm4rdJhkpmSaLvEdIkP3gZVk5eS5rC3me+IiauLPNQLt1/9v3i8vaQ+5Np9cjZsxYxH/4EfSRkU73Sf/qK9UfO3vD+kpvHxEREVG5Btf33HMPXnvtNRiNRrv1Bw8eRP/+/fH666+X9iXJjTFzTWV1W+v+qBFRy25qrk3HGBhR8fRBQag+bz7C77iz2H3OvPaaymSbc3J4KImIiMgzg+tHHnkE77//vgqkZcRwIcu33norUlJSMHfu3IpoJ7lIcKD9mHdZuRzQjErvllZ32C1/t+MrHkY6L5m2LeK229TUXREDBhS738n77kXmsmUsFSciIiLPC64ff/xxLF68GHl5eSqgvuWWW/Dqq6/izjvvxE8//YRevXpVTEvJJQx6PYIDCgNsjhZOF6NnwyvRolor6/KelF1Ye+QvHkwq0dRd4f1uRo3PFiNi0CCn+5x7Z0HB1F3p6TyiRERE5DnBtZC5raU8PDc3F7t27UKjRo0waNAghISElH8Lya1GDOc813Sx7m53r93yayunY/3RNTygVOJMdnjfG9WgZzI9lzOJQ4cge9NGHlEiIiLyjOD68OHDKrCWOayvvvpqNT1XTk4ObrrpJjX9ltlsrpiWklsE18xc08VqWrU5IgLtB6l6c/VrOJl2ggeVSjXoWdz0l1Fl3JNOt5+ZOROJw4fDnJvLo0pERETuHVxLEL13715VCv7GG2+gZ8+e+P7773H77bergc5uu+22imkpuUygv8H6c16+iWeCLtozV7+IYP9g63KuMQcvL38BuUYGQlQ6we3bo8aiT+Ffv36RbaZTKTh57z1I+/orWHjDl4iIiNw1uO7Ro4fqW3399ddb1wUFBWHy5Mn46KOPkM4+b14n0L+wzzWDayqLutH1Me/Wj+BvKJzi7UTacby+6mWYLax6odLRGQyImzYd0cOHO92e/uWXSLh7ACwOs1sQERERuUVw/eabbyImJsbptssuuwxLliwpj3aRGwmwyVznGpm5prIJCQjB1GtnIjQg1Lru7+MbsGT3txzxmS7umuraTY0qrgsurIqwlTBoIDL/+INHl4iIiNxvQLPzCS7myw15R1l4bh4zQFR29as0wFO9n0OAIdC67pudn2NVynIeXrroUcVrfPAhYic/7XT7uQXzkTDkQZhSU3mEiYiIyDOCa/Ly4Jp9rqmcNKnaDIPb32+3btOZtSwPpzIJbNVK9cXWR0cX2WbJyEDiww8hfckPPMpERERU7hhc0wUF2cxzzcw1ladrmtyA1tXbWJfzzHl4Z9McmMzsfkBl64sd//Y8xEya5HR72qJFSBz5BMzZ2TzMREREVG4YXNMFMXNNFTl38aNXjIROV/inaM3RVXh77RvMYFOZBbW+BNXnvg19lSpFtpkSE3Hy/vuQMmUKBzwjIiIi1wbXZ86cUQ/yfoG2mWuWhVM5iw2tisGX3me37s+Df2DjsXU81lRmhipVED/3bcS99rrT7Xl7dhcMePb77xxQj4iIiCo/uM7JycF1112Hvn37Ii8vr2wtIA8Lro38Akrl7sYWt6J/q0F2637b+wuPNJUb/xo1EP/ue9AFFE4DZ+vcu+8gYcBdyFq5kkediIiIKi+4/uGHH5Cfn4/c3Fx8//33F/fO5JFl4RYLkMfpuKgCXN/0JsQEVLUubzu5BQdO7+expnKjDwtDjY8XqiC7OGfnzsGJu/oj46efeOSJiIio4oPrhQsXol+/furx8ccfX8xLkIcG1yI3j4NNUcW4vkY/u+X/MXtNFRVkf7YY4bffXuw+qQs/RuITI1ipQ0RERBUXXK9duxb79+/HoEGDMHDgQOzbt0+tI98YLVzk5HOua6oYNUNqo0lsc+vysv1LkZ6bxsNNFTKYXsTtd6Dm4s8R/fgIp/uYkpJUqbjFyL95REREVAHBtWStL7vsMjRs2FA9OnfujI8++qi0L0MeJNDfPrhm5poqUpc63eyWF2/9hAecKlRIly4qkx15n/3AehoZ8MySn8+zQEREROUXXB8/fhwrVqxQWWuNZK9XrlyJo0ePlualyJPLwpm5pgp0Wa0rEOIfal3+be/PeOmPZ3Hk7CEed6rQTHbYtdch/iPnXZ3OPfwQAvfs4RkgIiKi8gmuFy1ahOrVq+Oqq66yrrvyyivVOva99p2ycGauqSKF+Ifgttb97dZtObEJ438ehWX7lvLgU4XSBwaqLLY+PLzItugfvkfqk0+yHzYRERGVLbi2WCwqOz1s2DB1h18jPz/yyCMqq202m0v6cuRBAgOYuabK1bfFzbi68bV260xmI+atexOrD/3J00EVSv67Fv/Ouwhq36HINvOpFNUP+8ys12ExcXBHIiIiuojgWr5szJkzB3feeWeRbXfccQfmzZsHvf6iBh8nD+tzncPRwqmC6XV6PNRpOF654Q3EhhZOzyW+2/E1jz9Viphx4xAz8Smn27LXrUPCwLuRtXo1LLyxTERERBc7FRf5+GjheRzYhypH/SoNMeumt+3WHT57EOm56TwFVCmC2rRBjU8/kzvMTreffXM2Eu4egDNz3mK5OBERkY9jcE0XFBrsb7eckc3gmipPoF8QHu38hN26aX88i1xjDk8DVQqdXo/o995HyoMPFrtP9qpVqlw846efeFaIiIh8FINruqDgAD/o9YVZm4zsPB41qlQdal9uN4L4vlN78NW2xTwLVKlMVWIQ/f4HiHpwCHTBwU73SV34MTJ+/plnhoiIyAcxuKYS9bcPDw6wLjO4psoWHhiBJ3tNRrB/YUCzdO/PyMzL4MmgShd69dWo8cGHqDptmtPtqR9/hBN39YcljzciiYiIfEmJguusrKwSv+D69evL0h5yU2E2wXV6Fr8wUuVrWa017moz2LqcnZ+FTcf494ZcJ6B+A9Rc/Hmxg54l3DMY+ceOVXq7iIiIyI2D61tuuQW7du067z5GoxGvvPIK7r///vJqG7mRMJt+18xck6v0aXq9Gklcs/ifT3Ds3FGeEHL5oGexU551ui153FjknzhR6W0iIiIiNw2uo6Ki0L9/f3zyySdOtx88eFBN0fX++++jZ8+e5d1GcgNhwYHWnzNzmLkm1/DT+6FaWHXr8qnMFIz5cTiWH/idp4RcKrB584JRxZ1IHjMaJx8ZhoyfOdgZERERfD24XrRoEQYMGIAXX3wRjz32GNLS0qzbPvvsM9x22204fPgwXnjhBcydO7ci20tuMGI4RwsnV7rtkrvsli0WMxZvXchpkMgtRhWv8dlihN18S5Ft5rNnkfrxx0gcORLZmzbyeiUiIvJCfiXayc8PEydORMeOHTFp0iTcfPPNmDx5Mr744gusWLEC7dq1UyXhtWvXrvgWk0sE+husP+cbTTwL5DI9GvRGsF8wZvw51bruTNZp7E7ZieZxLXlmyOUDQEbedZeaFjv922+LbDclnsSZmTPVz/6NGiG8b18EXXa5CsyJiIjIs5Xqv+ZXXXUVfvjhB0RERKgM9sqVKzF69GiV2WZg7d38DIWXitFkdmlbiC6r0xmv9n3L7kCsOricB4bcRkT/uxD/0ceIGT+h2H3y9+/HmVmzkHD3AJx+7VVkrfyzUttIRERELgyu8/Ly8N5772Hv3r2oVq2aWvfnn38iISGhnJtF7sbfJrjONzK4JterE10PDWMaW5f/t+9XLNu31KVtIrKlDwxEULt2qPHxQkT07y9p7WIPUM6GDTg7d66awitr7VoeSCIiIm8Ornfv3o1bb70VH3/8sRrcbOnSpSrQPnLkiCoT//777yu2peRSgQGFPQhy8owubQuRpl/L2+wOxnsb5iE1+xwPELkVXUAAwm+5FTU/W4y4l19WZeAwFHa1cXT2jVkqyM7etIl9s4mIiLwtuF6wYAHuuOMOnDt3DvPnz8eUKVMQGBiIzp07qzLxNm3aYMKECRgzZgwyMjIqvtVU6UKDCgc0y803sd81uYVOdbrgykZ9rMv55nxsT/zHpW0iOh//uvUQM3o0ai76FNVmv4mIu+8udt8zM2cgYcBdsBh5Q5OIiMhrguvXXnsN3bp1U4F0jx497LZVqVJFZbCl77Vks2+66aaKaiu5UGhwgN1yVk6+y9pCZDt41L0dhtgdkINn9vMAkUfwi4tD+E39UHPx54gaMrTY/RIGDUTewYOV2jYiIiKqoOD6+eefV1NsSSBdnKFDh6qBzfQc8dTrM9cik8E1uYlg/xA0jm1qXd54bB1LacnjhF51VcE0Xn1vdLo95amJMCYmVnq7iIiIqJyD6zvvvLNELybl4d99910p3p48RZBNn2uRm88yRXIfHWtdbv05Mf0kjqcec2l7iC56Gq9Bg1QmO6hjxyLbk0Y+ofphm7OzeYCJiIg8NbgeNGiQGtCsJMLCwtS/27dvx4ABA8rWOnIbAX72g+/k5XPEcHIfHWp3slv+l/2uycPFjBmLqEceddoP++RDQ5EyZQpMp0+7pG1ERERUhuB68ODBePDBB/HII4/g559/RnYxd81lMLNffvkF9913H4YMGaKeR94hwN8+uGbmmtxJrcjaCA+MsC5vTdjs0vYQlYfQHj0QMXBg0Q35+cjbsxuJjz2KlOef44BnREREbsK+1rcY11xzDTp27Kj6XU+aNAlGoxGNGjVCrVq1EBwcjLS0NCQmJmLfvn3w8/NTI4vPnDkTsbGxFf8JqFKwzzW5ezlt2xqXYtWhFWp584mN+Gb7F7i1dcm6tBC5q/Abb0JAgwbIWLpUzYXtKG/nTjXgWdXpLyOgXj2XtJGIiIhKEVwLGcxs8uTJePTRR/Hbb79h/fr1OHbsGNLT0xEdHY2GDRvinnvuQa9evdQyeZcwh9HCM7LzXNYWImduaN7PGlyLz7Z+jDpRddGhdmF/bCJPFNiylXqYs7KQ/u03yFiypMg+KRPGI7BNW0Q/8ggMUVEuaScREZGvK3FwbRtk33XXXepBviPEYbRwTsVF7qZhTGPcfskAfLXtM+u6lYeWM7gmr6EPCUHkwEEIv/U21e9aysNt5f6zFYnDHkbUkCEI6dETOn/7v9tERETkBn2uNdu2bVN9qnfs2FFxLSK3FOhvgE5XuJydy9HCyf30bzMQTao2sy5vO7kF2fkcWZm8iz44GDUXfoKYCROhCwoqsv3cu+8iYfAgZG9Y75L2ERER+aoSZa6lT/XDDz+MrVu3qvljpX9ju3bt8OqrryI+Pr7iW0kuJ+dcRgzPzTep5Txjwb9E7uaKut2wN6VgdoPMvEx8vX0xBl16v6ubRVTugtq2Rfz7H+DcgvnIWlHYJUJz5rXXoI+MRGCrVghq0wbBXbpCZ7AfnJKIiIgqOXM9a9Ys7Ny5E48//jgWLFiA8ePH4+DBg3jmmWfKsSnkSSOGa0E2kbvp2fAqVAmJsS5LP2yzhVPHkXfS6fWIHvYIop8YCb8aNYpsN6emInv1apydOxcJA+9G/jHOAU9EROTSzPXy5csxevRo3HvvvWq5e/fuqFatGsaOHYusrCyEhIRUWAPJfQQH+iM9q2Ags4z//iVyN6EBobix+S346O931fKZrNPYfHwj+16TVwvp3Fk98k8cR/KYMcXulzxuLAxVqyL4iisQ1ucaGGIKb0QRERFRJWSuU1JS0LJlS7t1l19+OUwmE06ePFnGJpCniIkItv58NiPHpW0hOp+u9XvAoC+8d/jx5vdhMrPagryff81aqLn4c1Sd+hLC+t4I//r1i+xjSklBxvffI2nsGGQ6KScnIiKiCgyuZV7rgAD7qZgiIyPVv7m5uRf51uRppM+1Jo9l4eTGooKjcWWjPtblk2knsP/0Xpe2iagyBTRsiMhBgxA3bTqqjB7tdB9LdjbOzXsbKVOmwHTmDE8QERFRZY4W7owMcEa+ISayMHOdfC7TpW0hupC+zW+2Wz505gAPGvmk4MsuR/U5cxF6/Q0Iat++yPa8PbuR+NijyFq9mv9NJyIicmVwLaNIk2+oXiXM+vOp1Czkc8RwcmPVw+MRFhBuXT585pBL20PkStK3OuqeexAz7knUWPQpDLFV7XewWHD2zdlIHv8kTKmprmomERGR9w9oJp599lmEhYUVyVg//fTTCA0NtQu2P/roo/JuJ7mB6PDC+VTl9Gfl5CMyjNO6kHuSv0WxoVWRkZeullMyk13dJCK3INNxVZs1C9kbNuDs7DfsthmPHkXiww8hYsDdCLvhBuj8Svw1gYiIyOeVKHPdsWNHFUBLQK09tPUyUrjterOZU954qyCbqbhEDvtdk5uLDqli/XlH0nakZDDAJhISNIdccQWqvTUHwVd0KXJQ0j77FAmDBiLrr79gMXEwQCIiopIo0S3phQsXwlPNnDlTTSWm1+vxyCOP4Prrr3d1kzxWYID95ZKbZ3RZW4hK4urG12LLiU3qZ5PZiC+3fYpHrxjJg0f0H7/YWFQZMQIZTZsi9YP3ixyXs2+9iXPvvYv4+QugcxjYlIiIiMq5z7U7W7duHf79918sWbJE3SB48cUXkZfH+ZkvlkFv37/ezMHsyM11qHU5Gsc2tS6vPLQCuUbOcEDkKOyaa1D1pWnwq13b6ajiCfcMRs62bTxwREREvhpcd+rUCe+++67KWicnJ6vpxAwG9hG+WHqHwevMZo4UT+7f77pHgyuty5K9PpvNKYeInAlo0ADVZsxE9PDHoQsMLLL99CsvI33JElh4k5qIiMj3gmvh5+eHadOm4dZbb8Xtt9/O4LoM9MxckweKj6hht/xPwhaXtYXIE4R07Yr4Dz9C+G232ZeCG41IW/SJymLn7tnjyiYSERG5Ja8Irn/88Ud0797d7iEBtWbixIn466+/sHTpUmzaVND/ksohuGbmmjxA87iWiAiMtC5vPLbWpe0h8pSqj4g77kT1t+chuFPnIttPTXkGyRPGw5SW5pL2ERERuSOvmGOjb9++6uHo0KFDqo9106ZNERUVha5du2Lv3r3o0KGDS9rp6VgWTp7I3+CP5tVaYv3RNWr5XM5ZVzeJyGPoQ0MRPWIE/Bs1RNonn9htyz98GMljRiP2mSnwd9JXm4iIyNd4Rea6OEePHsXzzz8Po9GIjIwMrF69Gm3btnV1s7wmc23igGbkISICI6w/Z+RmuLQtRJ5Gp9cjvO+NKoiG49gb6elIHjcWOdu3u6x9RERE7sKrg+sePXqoLPVNN92EAQMGYODAgWjRooWrm+XRZYK2WBZOniIsMNz687mcc8jMY4BNVFqBLVqgxkcfI/yWW4tsOz31RZz78ANYzGYeWCIi8lluF1zPnz8fgwcPtltnNpsxe/ZsdOvWTWWehw4dimPHjpXo9UaNGoWff/5ZTcfVv3//Cmq1bzA4BtfMXJOHqF+lod2I4QvWzWEGm+giyABnEf37o8rYsUW2Zf76K1KemojsdWuRf+QwLCYTjzEREfkUt+pzvWjRIsyaNatIn+i5c+fi008/xfTp01G9enXMmDEDQ4YMUQGzTK9VWSwWC7KysuDJsrOz7f4tjbw8+/mBs7NzPP54kHdcmxfSMuYSVAmOwZns02p5zZFV2JG4DYPbPYiONTuV+/uR96nI69MjtWiJsFGjkf39dzAdPGjXD/vMrFnqZ110NEKHPgT/Zs1c2FDvx2uT3BWvTXJnEtc5VuWWB51FXtnFkpKSMGXKFKxfv14Fz7GxsVi4cKHaJgOSyXzVY8eOxd13363WpaWlqSz21KlTnQ5kVhG2b9+u2uLLEs7mYMGy49blQV3j0ah6qEvbRFRSu9N24LvjXxRZf3vtgWgU3oQHkugiRfz2G0L+2ep0mzkgAKcHDYYpJobHl4iI3IokaVu3bu19mesdO3bA398fP/zwA+bMmYMTJ05Yt+3evRuZmZno3LlwKpCIiAjVd3rjxo2VFlwLaWOjRo3g6XcRDx8+jHr16iE4OLhUzw1OTAVsgutatWqjeeNqFdBK8kVluTZLorn8r0ELfLB5PhIzTlrXb0xfg74db6qQu5fkPSr6+vRklqZNkbf6L+T++SdMhw5JOsC6TZ+Xh6offgC/Fi0Q0LEj/Fu1hi4qir9v5YjXJrkrXpvkzvbt21chr+sWwXXv3r3Vw5nExET1b3x8vN36uLg467bKIl++Q0JC4A3ky2FpP0tIiH3m3j8gwGuOB3n2tVlSl9btgFa1LsHcNW9g9eE/1boj5w7hYNp+tI5vUyHvSd6lIq9PTxZ6zbXANdfCnJsLY8IJnJs3D/lHjhRsNJth/Pdf9RC6wED4Va8Ov9p1ENCkMYIubQ+/2FjXfgAvwGuT3BWvTXJHFZVUcbsBzYrrr+HYtzowMBC5ufZ9gKliBfgZ7JZz8zlYDXmeAEMABra7F3pd4Z+/JTu/cWmbiLyFPjAQAfUbIGb8BPjXr+90H0turgq8s/9ahdT330fS8MeQ+MQI5B04wNHGiYjIo7l9cB0UFKT+dezvLIE1S/MqV2iQv91yZk5+JbeAqHxUDYtD57rdrMtbEv7GvpQ9PLxE5cRQpQqqTn0JMZMmIaRXL+hCzz8+hykpCSmTnkLS6FGcM5uIiDyW2wfXWjl4cnKy3XpZrlaN/X0rU2iwffVAZrZvD/BGnu2mFrfYLb+zYS5MZlZjEJUXnV6PoNaXIPrhYYifvwCxTz+DyPsfQOh11yOwbVunzzElJqo5s1OmPIM86b9NRETkQdyiz/X5NGvWDGFhYWok8Tp16lhHC9+5cycGDRrk6ub5FD+DHkEBfsjJM6rljGxmrslzNYhphK71euCv//peHzpzQP3co4Hz8R+I6OLp/PwQ2LKlemhkspJz8+erebEtOTl2++ft2YOUZ55G2PXXqzJzv1q14FezJgdCIyIit+b2wbX0tZYgeubMmahSpQpq1qyp5rmWKbv69Onj6ub5ZGm4Flxn5jBzTZ7tng5DsPHYOuSaCsZv2JOyi8E1USUOJhM9bBiiHnoI+UeP4uzcOTAePVq4Q34+Mr7/3roYeMklqDJyFPQcUI6IiNyU2wfXYsSIETAajZg8eTJycnLQsWNHvPfee2pqLKpcYcEBOJ1WMMhcBsvCycNFB0cjLqwajqUWfKHPzM1wdZOIfLJ8PKBePcRNf1llrNO/+Qa527cV2S932zakTJ6EiLsHIuiSS6BzGOiUiIjI1dwuuJ4+fXqRdQaDAePGjVMPcq0Qm0HNsnIKMthEniwyOMoaXP99fAOS0hNRLby6q5tF5JNBdmDz5ggYPx7p332LrBUrYDp1ym4fY0ICzsycIV8MENCoMYIu64iQbt1hiIhwWbuJiIg8ZkAzcr9+1xqT2ezSthCVh271e1p/lvLw+eveVH1Bich1/bMjbr8D1d+ag/gPP0L0iBHQOZaCm0zI27MbaQsXImnUSKQuXIiczZuRf+I4LA6zixAREfls5prcm0FfOOG62cwAhDxfz4ZXYcWBP7Ar+V+1vD3xH5xIO45akbVd3TQin6cPCkLIFV0Q2KIl0r/5GpnLlqnA2pYlMxMZP/2oHhp9VBSC2rVDxJ39YYiO9vnjSERElYOZayrdBWMTXJsYXJMX0Ov06N92oN26s1mnXdYeIirKEBWFqAceRPW356HKqNEIvfZaGKrEFHuozOfOIWv5cjVvdsavv8DCSisiIqoEDK6pVAx6loWT9wn2C7Zb/jdxO8wWdnsgcjfStzr48ssRdd/9qDZ7NiLvvQ/+DRsVu78lOxupH36IlKcmIm///kptKxER+R6WhdNF97nOzbcvzSPyVKEBYXbL3/z7Ofak7MQjnZ/g4GZEbtw3O+y669TDlJ4OU1ISjMlJMCUnI3vdOuQfPmzdV36WkcZDr7sOkYMGQ2cwuLTtRETknZi5plKJDA20/pyWWTA3MJGnk+m4OtXpYrduR9J2jPlxOJbt+81l7SKikjGEhyOgUSPVPzv85ltQ9aVpiLzvfuiC7atSMn/5BckTxsOcwWn3iIio/DG4plKJDCsMrlMzczmqMnkFnU6HUd3H44GODyPQUHiN5xpzMG/dbKw8uNyl7SOi0k/rFXbttaj22utFthmPHcPJIQ8i/cclMDpM9UVERFQWDK6pVMKCA6w/G01m5BlZGk7eM7DZdc1uxMwb30LzuJZ2295ZPxeJ6Sdd1jYiujgyUnj1OXMRdOmlRbalffKJmsYre/16Hl4iIioXDK6pVPxt+lxrATaRN6keHo9n+0xDv5a3WdflGLMxa9UryDflu7RtRFR6hpgYxDw5HqF9rim6MT8fZ15/DSnPP4fMP/7gqOJERFQmDK6pVPz87C+ZfCODa/LOLPaAtvegRbVW1nUHTu/DqkMsDyfyVJH33Yeoh4ch6PLLoQuzH8Qwb+dOnFswX/XJJiIiulgMrqlU/B1GWGVwTd7KoDdgRJexCPQLsq7bf2qvS9tERGXrhx3aqxdiRo1G/IJ3ENy1a5F9Uhd/BnN2Ng8zERFdFE7FRaXi75C5Zlk4ebOY0FhEBUcj6b/+1kYzxxgg8pZAO/qx4Qjp0hVn570Nc2pqwYb8fJy8/z4Etr4EhtgYGGJjYYiJhV98PAKaNFGDHxIRERWHwTVd9DzXIp8DmpGX89MVVmskpB1HTn4OgvwLs9lE5JkkUA5q1w5xL7+CxGEP223L3b6tyP4BzVsg5sknoXeY3ouIiEjDsnAqFX8/+7JwZq7J24UEhFp/3pOyC+N/HokDp/e7tE1EVH4MUVGIvPc+QH/+r0R5u3YiZdJTyE9I4OEnIiKnGFxTmUYLZ59r8nbXNL0BOujssteTfhmDb//9EiaWiRN5hbDrrkPctOkI63czgq+4QpWAG6rESHrbbj9jQgKSR49Sc2QTERE5Ylk4lW20cBP7oJJ369GgN6oEx+CtNa/hTNZptc5kMeHTLR9ha8LfGN19IiKDIl3dTCIqI/+6dRFZt67dOovRiOx163B2zluAxWJdn7Z4MUKv7gN9YCCPOxERWTFzTaXCea7JF7WOb4OZfd9C57r2owvvTPoXH25c4LJ2EVHF0vn5IaRrV8RMmGC/wWhE4qOPIO3LL5G9YQOMiYmcI5uIiJi5ptLR6+1L5Eymwjv5RN4sPDAco7qNx6U1O+K9DfOQYyyYrudY6lFXN42IKlhQm7aIf/8DJD72KCz/TdVlycxE+tdfWffxq1EDMU9Ngl9sLM8HEZGPYuaaSoXTkJCvX/89G15pl8HOMea4tE1EVDn0ISGoMnJksdulP3bKUxORvW4tzLm5PC1ERD6Ifa6JiErJdiqunPyCLBYR+UYGu8q4J5G18k8Yjx5V5eC2fbHNaWk4M2sW4O+PwJYtEdqrN4Iuu4w3pomIfASDayKiUgryK5znNis/S40abtDbT1NHRN4puH179RDmnBw14Nm5dxZIP6nCnfLzkbt1q3rEjJ+g5tMmIiLvx7JwKhWDQ59rznNNvigmpLBPZb4pD1tObHJpe4jINfRBQQjt2RPV33wLoddeqzLWjjL/WOaSthERUeVjcE2lEhRgX+yQk2fkESSf06luF/jrC79E/7LnR5e2h4hcy1ClCqLuux/xC95BldGj7bblbNyIjF9+cVnbiIio8jC4plIJDrS/K5/N4Jp8kMxrfUW97tblbSe34ETqMZe2iYhcTx8cjODLLkfUkKF261M/+hC5u3e7rF1ERFQ5GFxTqQQ7Zq5zmbkm33Rdsxvtlpm9JiJNSO/eCOnZy+6AnH17LufCJiLycgyuqVT8/fR2/a4zc/J5BMknNYxphCZVm1mX1x7+y6XtISL3odPrET1sGAJtBjIzJSXh1IsvwJic7NK2ERFRxWFwTaWe5zc6vHAaotNpWTyC5LMuq93J+nNabipy8jnnNREVCu1ln73O27kTyeOfROrChcg/dpSHiojIyzC4plKrGhVi/TnlHINr8l0xIVXtls9kn3ZZW4jI/aj+10Mfgi4w0LrOkp2NjJ9+RPK4cUh55mkYk5Jc2kYiIio/DK6p1KpGhVp/Tj6bySNIPqtKSIzd8pksBtdEZC/0yisR9/IrCGjatMihydu7F+c+/JCHjIjISzC4prJlrlOzYDZbeBQJvj7ftTiddcplbSEi9+VXvTpipzyLqIcegn/DhnbbcrdsRs7mzS5rGxERlR8G11RqcTaZ63yjGamZ7GdKvik6pIrd8s6kf13WFiJy/0HOQntfibipLyGgZUu7badffw2mc+dc1jYiIiofDK6p1CLDCvuOiYxsjhhOvinAEIDakXWsy3/s/w2rD/3p0jYRkfuLGTXaPoOdn4/kpyYi7+BBTtdFROTBGFxTqfkb7C8bk9nMo0g+a1D7++2W3147G8fOHXFZe4jI/enDwlB1yrN268xnziDlqYk4ef99SH56Ms69+y4yf/8deQf2w5KX57K2EhFRyTG4plLzcwiujSYG1+S7Lq3ZEbe1vsu6nGvKxYw/X0JWHkfSJ6Li6QICVB9sGAx26y25ucjftw+Zv/8P5959BymTJiHh/vtwZu4cmM6c4SElInJjDK6p7MG1kcE1+bY7LhmANjUutS6fTDuBuWtnwWLhYH9EVDzVB/uVGQhs0+b8h8lkQvbKlUgaPQrpP/3I0nEiIjfF4JrKHFznM3NNPs6gN+CJrmNRNTTOum790TVYsvNbl7aLiNyff82aiJ34FOJmvoqoYcMQeu21CGjWDLrg4CL7WnJykLZwIU6//DJMaWkuaS8RERXP7zzbiJxfNCwLJyoiPDACY3pMxORfx8FoNqp1n2z5EO1rdUTNyNo8YkR0Xv61aqmHxmI2w5ScjLyDB5Dx44/IP3jQui33n61Ienw4QnpfCb/evXlkiYjcBDPXVObg2sTMNZHSMKYxhlz2iPVoWCxmbDq+nkeHiC5q6i6ZHzvkii6o+uJURA0ZAl1goF3f7Mxffkbq+CcR9fVXyF3+B4ynTvFIExG5EDPXVGo6HQ8aUXGubHwNFv/zCc5ln1XLCWkJPFhEVPY5sq+6GgFNm+HMG7NgPH68cKPZjKCDB5Elj4UL4VenDoIubY/Qnj1VcE5ERJWHmWsqMw7ZRGQvPrym3eBmRETlwb92bcS9/AqiR4yAf716TvcxHj2KjO++RdKY0Uj95BOYszhzARFRZWFwTReBqWui86kRURhcJzC4JqJypDMYCkrFp01HzKRJCOjaFaaQkKI7mkzI+HEJkkY+gayVf3L2AiKiSsCycCKiCgyuU3POITMvA6EBYTzORFRudDodglpfAnPDRjjaqTMaBwUBO3cie9NGlb3WmNPScHbuXGStWoWoB4ewVJyIqAIxc01lxql8iezF2wTX4iT7XRNRRdLp4NegASLuvFOVjVcZMxaGatXsdsndvh1Jo0bi9KszkbN9OzPZREQVgJlrKjUOaEZU8sy11u+6UWwTHjYiqpSMdnDHjghq21ZN4ZX2zddAfn7BRosFORs3qodfzZqIuLM/gi+/nGeFiKicMHNN5YBDmhHZigurBr2u8M/rCfa7JqJKpvP3R/gtt6DaKzMQ0LJlke3GEydw5vXXkH+ssISciIjKhsE1lZpBb3/ZGE0Mrols+Rv8UTU0zrqcnJHIA0RELuEXH4/YyU8jdsqzCO7Uqcj2nG3bXNIuIiJvxLJwKrUAf4Pdcl6+kUeRyEn2Oum/oDo5I5nHh4hcWioe2Ly5ephOn0biY49at+UfOsQzQ0RUTpi5plIL8LMPrnONJh5FIgdVwwoHE0rJTOLxISK3YIiJQUDzFtZlc2qqS9tDRORNGFxTqQUWyVwzuCZylrnWnM06g3zTfwMKERG5mN5mXmxzZqZL20JE5E0YXFM5lIUzuCZyFGfT59oCC05lsjSciNyEbQWa2ezKlhAReRUG11RqfgY99HqddZnBNdH5y8IF+10TkbvQ2QxMakxOhuncOZe2h4jIWzC4posSaHPXm32uiYqqGlaYuRbsd01E7iKwReHUXJasLKR++KFL20NE5C0YXFOZS8OZuSYqKjq4Cvz0hRMyJGdwUDMicg8hvXrBv25d63L2urXMXhMRlQMG13RRGFwTXeCPq07vMNc1+1wTkXvQ+fkh/Lbb7NaxNJyIqOwYXFOZRwzP5YBmRBfsd73p2DqsO7KaR4qI3IIuuHDEcJHxww8w5+S4rD1ERN6AwTVd9KBmGqOJI40SOdMwppH151xTLl5dOQ1f/LMIZgt/Z4jItfyq2Q+6mL1mNVImT0J+QoLL2kRE5OkYXNNFMdiMNGoyW3gUiZy4tVV/tKvR3m7dl9s+w6t/TkN2fjaPGRG5jF9cHCIfeACwHTn8+HGcmvIMS8SJiC4Sg2u6KAabqbjMFgbXRM4E+QdhfK9n0K+lfd/GDcfWYvKv45CUnsgDR0QuE9bnGsQ+MwX66GjrOnN6OvL27uVZISK6CAyu6aIYDIXBtYll4UTF/67oDRh06f0Y0WUM/A0B1vVHzx3GxF9G49/EbTx6ROQygc2aIXbCBPuVZpOrmkNE5NF8JrgeMWIE3nvvPVc3w6tGQtaYWRZOdEHdGvTCC9e8jCohMdZ16blpeOH3yfh1z4+wsAKEiFxEFxhkt2zhf9eJiC6KTwTXP/zwA9atW+fqZnhtWTj7XBOVTMOYxph+3etoHNvUuk4GN3tvwzzMX/cW8k35PJREVOn0YWF2y6akJJ4FIqKL4PXBdVJSEhYvXoy77rrL1U3xKnq74JojHxOVVHRIFTzXZzp6NbzKbv2y/Uvx/O+TkJp9jgeTiCo9uDbEFY4enrtnN6tpiIgugtcH11OmTMFTTz0Ff39/VzfFa0cL54BmRKXjb/DHI52fwH0dhkJn08Vid/JOjP95FA6dOcBDSkSVKqBBfevPuVu34ty8t2HJy+NZICIqBT94gR9//BGvvPKK3brrrrsO9erVQ/PmzdGqVSssX77cZe3z/gHNOFo4UWnpdDrc0LwfakfVxWsrpyMzL0OtP52Vgsm/PolHr3gCXep154ElokoR0rMXsm260GX9+SfyT5xAzOgxMFSpwrNAROQrwXXfvn3Vw9H999+PU6dO4Y8//lD/6vV6RERE4I477nBJO72JXseycKLycEl8W0y77jW8suJFHE89qtblmXIxa9UrOHL2MO5qO8huAEEioooQ1LYtIu+7H6kffyQjlap1+fv3I3nSU4h+9FEEtb6EB56IyBeC6+J88MEH1p/ffPNNhISEMLCuiHmuOaooUZnER9TA1GtnYvbqmfj7+Abr+m///UJN2TWiy1iEBITwKBNRhQq79lr4166NM7NeV/NdC/PZszg9dSpCr70WEQPuhj4wkGeBiKgYTIdQmftcc7RworKT4PnJnpNxa6v+dusl2H7q1zE4mZbAw0xEFS6wZUtUnfoS/OrUsVuf+euvSJk4AXkH9vMsEBF5SnA9f/58DB482G6d2WzG7Nmz0a1bN7Rt2xZDhw7FsWPHSvW6jz/+OB588MFybq3vsh0tnAOaEZXT75VOjwHtBmNUt/EIMBRmh06kHsPEX0ZjV9K/PNREVOH84uJQ9YUXEdrnGrv1xoQEpDz9NNK++hIWzhRCROTeZeGLFi3CrFmz0KFDB7v1c+fOxaefforp06ejevXqmDFjBoYMGYIlS5YgICCg0tpnsViQlZUFT5adnW3378WymE3Wn/ONJo8/LuQ916Y3aBvXHpN7Po9Za17BmezTap0MePbqn9Pw8jWzEewf7Oom+hxen+SL12bAXXdB16oVMt9/D5Zz/00TaDYj/auvkHP4CEKHDIGuEr+HkWfh301yZxLXyeCy5U1nkVd2g7moZcqs9evXq+A5NjYWCxcuVNvy8vLQqVMnjB07Fnfffbdal5aWprLYU6dOdTqQWUXYvn27agsV+GlLCjYeSFU/hwUZMLZv4RQeRFQ+Mo0Z+PbY5zieXTDQmegS2wPd4nrzEBNRpdHl5CDi9/8heNcuu/V5NWrg7C23whLCMSGIyPNIkrZ169bel7nesWOHmof6hx9+wJw5c3DixAnrtt27dyMzMxOdO3e2rpMRv1u0aIGNGzdWWnAtpI2NGjWCp99FPHz4sJqmLDj44rNf2xJ11uA6J9+CZs2aVcjdH/Id5XVteptLWrTBhN9G4nTWKbW88ew63HnZ3YgKjnZ103wKr0+Cr1+b7dohd+1aZH3wPmA0qlUBCQmI//ILhI0cBUP16hX33uSR+HeT3Nm+ffsq5HXdIrju3bu3ejiTmJio/o2Pj7dbHxcXZ91WWSR4lBHHvYH8B7gsnyU6MtT6s9FkhsE/EEEBbnE5kY9fm94mBCEY0O4evLX6Nes0XUv2fYuHOw13ddN8Eq9P8uVrM+TKKxFSqxbOzJxROJp4cjLSX3hezZMdetVV8K9Zs0LbQJ6HfzfJHVVUUtDtBjQrrr+GY9/qwMBA5ObmuqhVFBZsfz4yslkyT1RRutXviXrRDazLy/b/hmPnCkvFiYgqS2DTpmqwM0P1wqSHJTsbmb/8jOQxo5Hy/HPIWrMGlv+y20REvsTtg+ugoCD1r2N/ZwmsWTrqOuEOwXV6FoNrooocRXxw+wesyxaLGYu2fMgDTkQu4Ve9Oqq+8AICmjUrsi1v506cnf0GEh97FKmffQpjcrJL2khE5ApuH1xr5eDJDn+cZblatWouahWFhTBzTVSZLolvizY1LrWb/3pH0naeBCJyCUN4OGInP42oYcPg37DoeDTm1FRkfP89kp4YgVPTpiF700ZYTIUzjRAReSO3D65loKywsDA1krhGRgvfuXMnOnbs6NK2+TLHzDXLwokq3uBL74cOhX2EFv79vppKgojIFXR+fgjt2QtxU6ei6rRpqk+2LjDQfieLBbn/bMWZmTORPHYMjCkpPFlE5LXcPriWvtaDBg3CzJkzsWzZMjV6+KhRo9SUXX369HF183yWY59rloUTVby60fXRo+GV1uUDp/dhzZFVPPRE5HIB9RsgeuhDqP72PEQ+8CD86tQpso/x5Elk/vqrS9pHRFQZPGJ45xEjRsBoNGLy5MnIyclRGev33ntPTY1FrsEBzYhco3+bgVh9eCXyTQXjHHy65SNcVrsz/A38e0hErqcPCUFYnz4Ivfpq5O/fh8z//Y6stWuA/Hy1PW9/xUx/Q0TkDtwuuJ4+fXqRdQaDAePGjVMPcg8B/gYE+huQm1/Qf4qZa6LKERtaFTc0uwnf7fhKLSdnJOG3vT/jhub9eAqIyK2muQlo3EQ9dMFByFy6VK3PP3xY9b3WGQyubiIRke+VhZP7CrcZ1Cw9m9OiEVWWm1vdgfDACOvy19s/R2ZeBk8AEbkl/wYNrT9bcnNhTDjh0vYQEVUUBtdULqXhGdkF5V5EVPFCA0Jxe+u7rMvpuWn49t+CTDYRkbsJaNDAbvnsvHnI2bqVAzISkddhcE3lE1xznmuiSnV1k+tQLay6dfnnXd8jJZPzyRKR+/GrWRO64GDrcv6BAzg9fRpSZCydzZsZZBOR12BwTReNZeFEriMDmN3d7l7rcr45H59vXcRTQkRuR6fXI/LugYDe/mtn/oH9OP3Ky0iZ9BSyN21ikE1EHo/BNV00Zq6JXKtz3a5oFNPEurzy4B84fOagS9tEROSMjB5e7fVZCOndW0aqtduWf/AgzsycgZSJE5C9YQMsZjMPIhF5JAbXdNHCQwKtP7PPNZFrRuMd3P4B67IFFnyy+QOeCiJyS37VqiH6oYdRbdYbCL3q6qJB9uHDOPPaq0ieMB7Z69YyyCYij+N2U3GR5wgLLpxXNys3H0aTGX4G3q8hqkwtqrVCh1qXY9Px9Wr5n5Nb8E/CZrSpcSlPBBG5Jb+qVRE1ZAjCbr4ZGT/8gMw/lgFGo3W78ehRnJk1C7qwMAQ2bYqAZs0Q2KwZ/Os3gM6PX12JyH3xLxSVS1m4yMzOQ2RYEI8oUSUbeOl92HxiI8yWglLKhZs/QOv4ttDreLOLiNyXX2wsoh54AOE334x0CbKX/Q7kF84+YsnIQM7ff6uH0AUEwL9RIwQ2a44ACbqbNIHeZqA0IiJXY3BN5VIWLtIZXBO5RK3I2riyUR/8b9+vavnI2UNYdXA5ejS8kmeEiNyeoUoVRN13H8L79UP6kiXI+v1/sOTlFdlP1uXt3Kkeik4H//r1VaCtBdyGqKjK/wBERP9hcE0XLdwhc52RXfQ/hERUOe5oMxArD61ArjFHLX+29RN0qtsVgX72N8GIiNyVIToaUffco4LsnI0bkLt7D/J274bpVIrzJ1gsajA0eWT+8kvBa1SPVyXkWim5oVo1NT4FEVFlYHBNFy0sxCG45lzXRC4THRyNm1rcgi+3faaWT2el4Nc9S9Cv5e08K0TkUQyRkWrAMzXomfTBPnUKeXsk0N6F3N27YTx2rNjnmhJPIkseK5arZX1UVEGw3bQg4PavW1dNDUZEVBEYXFO59bmWsnAicp0bW9yK3/b+gtScc2r5m+1fonejPggPjOBpISKP7pstj5AuXdSyOSMDuSrY3l3wOHgAMJmcPtd87hyy161TD6ELDlZ9tbXsdkDDRqovNxFReWBwTeVWFp7OzDWRSwX7B6N/m4FYsH6OWs7Kz8TX2z7HfR2H8swQkdfQh4UhuH179bD2xd6/H7m7dxVkuPfuhSU72+lzZX3uP/+oh+Lnh8CmzRAxYAACGjWqzI9BRF6IwTVdtOBAP+j1OpjNFrWclVM4wicRuYZkqn/c9T0S0o6r5RUHf8e9HYawzyEReS3JPAe2aKEewmIyIf/oEeTt2o3cPQXZbXNqqvMnG43I3fEvUqY8owLssOtvYNk4EV00Btd00WSAkFb1q2LbgWS13KAGR+gkcjWD3oB72j+I6cufU8tRwVVggQU6cEAfIvINOoMBAfUbqEfY9dfDYrHAlJhoDbT/3959wFdV3n8c/2XcJKyIYYvsleBERVDhL6Ji3dg6C4622mprabWOaql7UNFqW0dpBVsRtY6q2NpKrdIKCqKolY0CIigbDCM79//6PuFcTi43yQ03yT1JPu/X67wgd5yc85znnDy/Z2rctn6upKzM8p96yooWLrL9r7rK0rIZTgOg9giukZAbLjrW/jn3UzugfRs7Oq8rqQkEwJEHDrabRt5qn25aZif0OZn1rgFYc28MSO/SxW2tRpzgXivbts0F2rtmz7LCefMiny36cL5t+PmNlvPjcZaZl5fEowbQGBFcIyH7tcq0C0YeRCoCAXNE18FuAwDsTethtxg61LKGDLFdb75p2/70hFlJxfC28i1bbNMdt1ub886zNqPPoZs4gLixFgEAAACabat2qxNPtI5332PpXX098MJh2/7cc7b5nrtdKzcAxIPgGgAAAM1aqHt363D3PdZyxIhKrxctWGAbbrzBCv/3v6QdG4DGg+AaAAAAzV5qVpbtf+VVtv+PrraUzMxIemim8c333mNfP/usm4kcAKrCmGsAAABgt5bDh1uoTx/b+puHrOTzzyteDIdtx8sv2c5//sNCPXpaqFdPC/XsaRm9ell61wMtJZ0iNQCCawAAAKCS0AEHWIc777Kvn5pqO2fMiLweLiy0Yi3ptXTJng+np1uoWzcL9eq1J+Du3sNSfa3fAJoHqtkAAACAKCkZGdb2u9+zzIMOtq2Tfm/hXbtip1FpqZWsXOm2PV9OsfQDDqgUcKvFO7V1a9IZaMIIrgEAAIAqtBgyxDLy8qzw/XlWsmqVFa9caaWff27h4uKq0ywcttK1a91WMGtW5OW0Dh32BNw9e7n/p+2/P2kPNBEE1wAAAEA10rKzrdXIEyM/h8vLrfSrL3e3WK+y4lUrXeAd3rmz2nQs27jRbYXvvRd5LXW//XYH3L0so6fGc/eytI4d3TJhABoXgmsAAACgFlJSUy3U9UC32bDh7rVwOOwC55JVlQPu8q1bq92XZiMv+ugjt0X237Kla932B9zqZp6SlsZ1AgKM4BoAAABIkFqa0zt2dFuLo4dEXi/btq2ihVtdyncH3mUb1le7L43vLl60yG2RtvBQyEI9elR0J98dcGsiNY0NBxAMBNcAAABAPUlr29bSBg2yrEGDIq+V79rlgm0F3RUB90o3PltjtatUUmIln37qtj07T7P0rl0rB9w9elhqy5ZcTyAJCK4BAACABqTgN3PgQLd5NEFayerVewJuBd+rV7ugukplZVa6erXb7L//ibyc1rnz7gnTKrqWu3Hc2dn1fVpAs0dwDQAAACSZundn9O3rtla7XwuXllrpl1+6GcpLvIBbE6cVFFS7r7J166xA25x3I6+l5uRULAnmjeXu25eZyoE6RnANAAAABFBKerqFund3mx1/fGSm8rING1ywXRF0V3QvL8/Pr3Zf5Vu2WKG2Dz6IvJbRv7+1GDrUWgwZamnt2tX7+QBNHcE1AAAA0IhmKk/v3NltLYYeE5mpXLOSV2rh1sRpmzZWu6/iZcvc9vWTT1pGv4pAO2vIEEtv376BzgZoWgiuAQAAgEY+U3laTo610HbkkZHXy7Zv392VvGKWcv1b+tVXMSdOK16+zG1fT33SQn37Rlq00zt0aOCzARovgmsAAACgCUpr08bSDjnEsg45JPJaeWGhlaxYYQXz3rOCuXNdd/Fo3qzk+U89ZaE+XqA9xC0zBqBqBNcAAABAM5GalRWZqXy/iy+x4uXLrWDOHCucO9fKtmze6/Mln33qtvxpCrT77GnRJtAG9kJwDQAAADTT8duZAwa4LXzxxVb86ae7A+05VrY5VqD9mdvyp02zUO/eLshWsJ3eqVNSjh8IGoJrAAAAoJlzgXb//m5ToF2yO9AuUKC9adNen1fXcm35zzzt1tGOtGh37pyU4weCgOAaAAAAQKUJ0jL69XNb9tixrrXaBdpz5sScgVxLgWnLf+YZt462Am077HBSFM0OwTUAAACAqgPtvn3dlj1mjJWs8AXaG2ME2m528lVmzz5r7Tp0tIJhwyw0fLiFDjiAFEaTR3ANAAAAIL5Au09ft2V/e4xrrY4E2hvW7/X50MYNVvjSX92W3r17RdfxoccQaKPJIrgGAAAAUPtAu3dvt2VfdJFbQzsSaK/fO9AuXb3atmt77rmKQHv3ZGihrl1JeTQZBNcAAAAAEgu0e/V2W/aFCrRX2fZZb9uO2bMtfdu2qgPt55+z9AMP3NOifeCBXAU0agTXAAAAAOow0O5lLTp1slV5A61f69ZmH3/kWrRLv/pqr8+Xrllj2194wW0u0PZatLt144qg0SG4BgAAAFD3UlJcF/CWubnW5vwLXIu1t7xX6Zdfxg6017xg2198wdK7dq1o0T56iNuHgnYg6AiuAQAAANQrBcehHj3c1ub88630iy92j9F+N3agvXatbX/xRbeltmljGbm5lpmXZxl5eRbq0dOtyw0EDcE1AAAAgIYNtLt3d1v2+edbiRdoq0V7zZq9Pl++fbsVzpvnNvf9Fi0sY8CAimA7N88y+vSxlHTCGiQfuRAAAABA0mh8tbbs886zkjVrXGu2G6MdI9CWcEGBFX30kdskJSPDMvr1t4y8itbtUN9+lpqZ2cBnARBcAwAAAAgIzRgeOvc8yz73PCtZu9aKFi604iWLrWjxYivfujXmd8LFxVa0cIHbtuuFtDTXmq0u5Jlq2R4wwFJbtmzoU0EzRMs1AAAAgMDRGthuHexRoywcDrv1s4uWLLbiRYvdv2UbNsT+YlmZFS9b5rYdr7ziJlYL9ezpupBXdCXPtbTs7IY+HTQDBNcAAAAAAj9OO71zZ7e1GnGCe6100yYrXrKkIuBevNhNghZTOGwlK1e6bec/XnMvadkvb4I0tW6n5eQ05OmgiSK4BgAAANDopLdvb+nDhlnLYcPcz2Vff23FS5e4LuQKtks+/9wF1rFoPLe2nf/6l/s5rVOnyARp+jetY0eW/0KtEVwDAAAAaPTS9tvPrYutTcp37nRdw4sWLXKt2yUrVrgu47Goy/kubTNnup9Tc3Jci7YLuAfmWfoBXQm2USOCawAAAABNTmqrVpY1aJDbpLyw0IqXL49MkKb/W0lJzO+Wb9liBe/Mdpvbl9ba9iZIc2tt92CtbeyF4BoAAABAk5ealWVZhxziNgmXlFjxis9cF/KixUtcl/JwYWHM77q1tt97z22RtbZzcyPBdkbv3qy1DYJrAAAAAM1PSihkmQNy3dZmtFm4rMyN064IttWVfImFd+yoeq3tDz90W6y1tvV/vYbmhZZrAAAAAM1eitbH7t3bba1PP93C5eVWunZNZII0Bdu1Wmu7b989y3/1789a280AwTUAAAAARElJTbVQt+5us1Gn7FlrOxJs17DW9tKlbtvxyssVa2336rUn2B4wgLW2myCCawAAAACozVrbJ0Sttb14UcVa219+WfVa2ytWuG3na3+PWmt7oGXm5rLWdhNAcA0AAAAAdbXWtgu2F7tZyWu11nbnzpEJ0txa2x06sPxXI0NwDQAAAAB1tdb2kCFui6y1vXSpC7ZrXGt73TrbpW3mWxX7ymm3Z4K0PNbabgyafHB9ySWX2NatWy01NdX9PGXKFGvXrl2yDwsAAABAc1hr+4gj3FbbtbbLtmy2gtmz3eb2lZ1dsfxX3sCKtba7d2et7YBp0sG1Jh1Yu3atvfHGG3SpAAAAABC8tbY/273W9pLFrpW7yrW28/Mrr7XdsqVlaCmx3a3boV6stZ1sTTq4XrFihZWVldmll15q27dvt6uuuspGjRqV7MMCAAAAgIq1ttUanZtrbeycirW2V62qCLR3L/9V5Vrbu3ZZ0Yfz3SYpmZmW0a9fxZhtjd3u14+1thtYkw6u8/PzbejQoXbbbbe5ruFjxoyxvLw869atW7IPDQAAAAD2Xmu7Tx+32eln7L3W9uLFVr5tW8xUCxcVWdGCBW5za22np1tGn767J0jLtYz+Ayy1RQtSvB41ieD6b3/7m913332VXjv11FPtpptuskGDBrmfu3TpYiNHjrQ5c+YQXAMAAABonGttr1sXmSBNAXfZxo2xv1xaasVLl7htx8sWWWvbmyBNXcrT2rRp6FNq0ppEcH3GGWe4LdoHH3xgJSUlrvXak57eJE4ZAAAAQHNca7tLF7e1GjnSt9b27gnS4lxr2/6+e63tbt0qgu3c3ct/7b9/Q55Ok9OkI80dO3bYww8/bNOmTXP/nzlzpl1xxRXJPiwAAAAAqMO1todby2HD3c9l27ZFlv+qca3tL75w284ZM9zPaZ27RCZIU8DNWtu106SD6+OPP97mz59vo0ePtvLycrv22mutU6dOyT4sAAAAAKgXaW3b7rXWtiZG81q3Xct1eXnM75at+8p2aXtr91rb7dpFJkjLOvpoS8vO5qo1puB60qRJNmvWLJs6dWrkNQXGaoF+/vnn3azfgwcPtltuuSWusdPXXHON2+qCxjjs2rXLGrOCgoJK/wJBQd5EkJE/EVTkTQQVeTNAUlLMtFSXtnPMLfVV+tlnVrpsmZUuW+r+r/HZsZRt3mwFs2a5LeWZp63NrbdZWvv21tiFw+F6Wao5Jaw9B4S6b99111121FFHVQquFVg/9dRTNmHCBOvcubNNnDjR1qxZY6+++qplZGQ0yLF98sknVlxc3CC/CwAAAAAaRGmphdats4w1X1jGF2sstHaNpZaUxPzotlNPs8KDD24SFyYjI8MO2b3eeJNquV6/fr3deuutNnfuXOvZs2el9xTQTpkyxa677jobMWKEe+3BBx+04cOH24wZM2JOZFZfQqGQ9e3b1xp7LeKqVatcOrdgKn4ECHkTQUb+RFCRNxFU5M1Gxhdkaq3tstWrrXTp0oqW7eXLLbxzp6V26GA9Tj7ZUtu2tcZu+fLl9bLfQATXCxcudIHr9OnT7ZFHHrG1a9dG3luyZInt3LnTjjnmmMhr2dnZNnDgQJs3b16DBtfqOtCyZUtrChRYN5VzQdNC3kSQkT8RVORNBBV5s5E66KCKTcF2eblbWzu1TRtLCYWsKUiphy7hgQmutf60tljWrVsXWafar2PHjpH3AAAAAAD1s9Z2Wk4OSRuHVGskkyFEj63OzMy0oqKiJB0VAAAAAACNKLjOyspy/0ZPJqbAmjHDAAAAAIAgCHxw7XUH37BhQ6XX9TNrVgMAAAAAgiDwwXVubq61bt3azSTuyc/Pt0WLFrn1rgEAAAAASLZATGhWHY21Hjt2rN1///2Wk5NjXbt2detca73rUaNGJfvwAAAAAAAIfnAt48aNs9LSUhs/frwVFha6FuvJkye75bsAAAAAAEi2wAXXEyZM2Ou1tLQ0u/76690GAAAAAEDQBH7MNQAAAAAAQUdwDQAAAABAggiuAQAAAABIEME1AAAAAAAJIrgGAAAAACBBBNcAAAAAACSI4BoAAAAAgAQRXAMAAAAAkKCUcDgcTnQnzcH8+fNNSZWRkWGNmc6hpKTEQqGQpaSkJPtwgAjyJoKM/ImgIm8iqMibCLLi4mIXCx1xxBF1ut/0Ot1bE9ZUAlGdR2OvIEDTRN5EkJE/EVTkTQQVeRNBz5/1Ed/Rcg0AAAAAQIIYcw0AAAAAQIIIrgEAAAAASBDBNQAAAAAACSK4BgAAAAAgQQTXAAAAAAAkiOAaAAAAAIAEEVwDAAAAAJAggmsAAAAAABJEcA0AAAAAQIIIrgEAAAAASBDBNQAAAAAACSK4BgAAAAAgQQTXqOSll16y0047zU455RR74403SB0Ezvr16+3kk09O9mEAERMnTrQzzjjDTj/9dHvyySdJGQTK/fff7/LmmWeeaa+99lqyDwfYy7hx42zy5MmkDALjkksucc/Ms88+222bN2+O+7vp9XpkaHRBy6RJk+yFF16w4uJiu+iii2zo0KHWunXrZB8a4Lz77rt2++2326ZNm0gRBMLMmTNt6dKl9sorr1hRUZGde+65dtxxx1mfPn2SfWiAzZkzxxYsWGCvvvqq5efnu8rzk046yTIyMkgdBML06dNdPj3ssMOSfSiAEw6Hbe3ata6RMSUlxWqLlmtEvPPOOzZs2DAXTOfk5NhRRx1lb7/9NimEwHjxxRftoYceSvZhABFdunSxa665xtLS0qxly5bWvXt3V1EJBIEqyB9//HFLTU21DRs2uKBaeRUIAj0rn332WbvwwguTfShAxIoVK6ysrMwuvfRSO+ecc2zGjBlWG7RcI0J/eDt27Bj5uX379rZx40ZSCIHq3ggEyYABAyL///jjj10r4aGHHprUYwL80tPT7d5777Vp06bZlVdeSXCNwLj11lvt5ptvtrfeeivZhwJEqJePKiZvu+0227p1q40ZM8by8vKsW7duFg9arlGpG8ReGSSVLAIANfnoo4/s6quvduOvGUqDoLnpppts1qxZ9vrrr9v777+f7MMB7JlnnnEBy8EHH0xqIFAGDRpkEyZMsKysLNc7beTIkW7oQrxouUaEWq2XLFkS+VmD9w866CBSCACqMXv2bLvxxhtdYH3MMceQVgiMlStXujlU1MOibdu2bujXsmXL3LAvIJnU1Vbzp7z55pvuXzXmZGdn23nnnceFQVJ98MEHVlJS4lqv/T2A4kWzJCJUKNQY6+3bt9u2bdvsvffe4w8wAFRj9erVdsMNN9hjjz1GYI1A5s877rjDSktLbceOHa4i6PDDD0/2YQH2xBNPuIn2NBmkxlxfdtllBNYIBD0rH3jgAVcxuWXLFjdx6bHHHhv392m5RoS6Plx++eXuIac/xOriqInNAACxabIo/QEeP3585LXrrrvOhg8fTpIh6Y4//nibP3++nXXWWW6s9dixY23gwIHJPiwACPxzc/To0VZeXm7XXnutderUKe7vp4RjDbRFo6cltTS+aurUqZHXlEEefvhhe/75513r9ODBg+2WW26Je4A+QP5EU8ZzE0FG/kRQkTcRVJOSEA/RLbwJ0oygsZYrevTRR+3pp5+2O++80y19oMyllmq1ugDkTzRnPDcRZORPBBV5E0E1LUnxEMF1E1svUMtsaLminj17VnpPGWbKlCk2btw4GzFihOXm5tqDDz5o69atq/X6bQD5E00Fz00EGfkTQUXeRFCtT3I8RHDdhCxcuNBCoZBNnz7dDjvssErvaRbwnTt3VppwR7MyauzVvHnzknC0aG7Inwgi8iWCjPyJoCJvIqgWJjkeYkKzJkTrsGmLRTUy3qRl0ctvee8B5E80Nzw3EWTkTwQVeRNBNTLJ8RAt181EQUGB+zcjI6PS65mZmVZUVJSkowIqkD8RRORLBBn5E0FF3kRzzpsE181EVlaW+zd6sL4yUosWLZJ0VEAF8ieCiHyJICN/IqjIm2jOeZPgupnwuj9s2LCh0uv6uTZrtwH1gfyJICJfIsjInwgq8iaac94kuG4mNBte69atbe7cuZHX8vPzbdGiRW59NyCZyJ8IIvIlgoz8iaAib6I5500mNGsmNLZg7Nixblr6nJwc69q1q02cONE6d+5so0aNSvbhoZkjfyKIyJcIMvIngoq8ieacNwmumxGt6VZaWmrjx4+3wsJCV0MzefJkN109kGzkTwQR+RJBRv5EUJE30VzzZko4HA7XyZ4AAAAAAGimGHMNAAAAAECCCK4BAAAAAEgQwTUAAAAAAAkiuAYAAAAAIEEE1wAAAAAAJIjgGgAAAACABBFcAwAAAACQIIJrAAAAAAASRHANAEiav/71rzZgwABbs2ZNpf8DtfH666/bt7/97WaVaL/73e/c/QJE27p1q40YMcK++OILEgdoYATXAICkUQHwL3/5i3Xs2LHS/4F4bd682W6//Xb7xS9+QaIBZrb//vvbZZddZjfffLOFw2HSBGhABNcAgKTJycmxww8/3DIyMir9H4jXY489ZoceeqgddNBBJBqwm3pyLFu2zP71r3+RJkADIrgGsM/+/e9/u26J6p7o+eyzz1xBVzXmDamoqMhuu+02O+aYY2zIkCF23XXX2ddffx15f+TIkfbzn/+80ndidUN+/vnn7Zvf/KYL8nQeZ599tv3jH/+o8vOx9q1jue++++z444+3gw8+2M4880x77bXXqv1OrP3rfX3O79lnn90rzbdt22a33HKLHXvssXbIIYfY+eefb+++++4+pePPfvYzt//oTcfmKS8vtz/84Q928sknu/M75ZRTbOrUqZX2o2OPtZ/o9Hv//fdt7Nixdthhh9nRRx9tN954o23ZsqXKNImVfnov+hhjpV9ZWZlNmzbNXQ9dW7WU33///e56+dV0TLFcfPHFbvObO3euOy7963njjTdcoXfQoEEu7b7xjW+4Y6qOl5ZK52jKq/uSH2bPnh3z2vjPId78t2TJErv66qtt6NChLsAdPny43XXXXVZYWBj5TPR3ors1Kw30/5UrV1b6zCuvvGJ5eXn21VdfxUwbXZcXXnjBzjjjjH3Kf6tWrbJx48bZcccd5+55nf8HH3wQed/LW/7NS5N58+bZ9773PRs8eLC7lnpd56T7w//dv//973bllVe6/KQ898gjj0Q+U9Wz4Nprr90r76jru/KArql+74YNGyLPLD1rdPzXXHNNpeeezkf7+c53vlNp/7oXdM7++ybWvbZ8+XJ3Tb18EStPxLr/vvzyS3cOun903pdeeqktWrSo0vd27Nhhd955p8svOvZvfetbNnPmzJjpovT6yU9+4tJZf2O833vDDTfYsGHD3DHq2a+f1SXao2t50UUXufst1jWMJdZ9G6sLfvQ978/jO3fudO8NHDgw8nyJ5z7xrkFNz+Ca8p6oklL5ZdKkSVWeK4C6R3ANYJ+deOKJdtZZZ7k/3irwlJaWusJNp06dGryL5sSJE+3ll192QbUKLHPmzHHBdm2ogK+g5KSTTnLnpMBLBRTtc926dXHtQ13wfvSjH7kgRAVataqpYKdCr44vESo0P/TQQ5VeU8FNBVdVdOh3PPzww9a5c2e7/PLL9ynA1v4uuOAC1z1bm/YXTen629/+1l373//+9y5AvOeee1zQ4NehQ4fIfrRdddVVld5XAVFdF7Oystx5qUJGr11yySWVCpx1Rdf23nvvdddX12XMmDH21FNP2Q9/+MNI18lYx/Tee+/VyTEpcFDeUMH60UcfdYXhbt262R133GEff/xxtd9t2bKlff7555HAQlavXu0K7PuSH3Quet1/fRQI1Db/KcBTOhYUFNiECRPsj3/8o51++umusuXJJ5+MO21U4ZGZmemCaT/dMwqaunTpEvN7M2bMcM+dE044Ya/3asp/n376qaucUJA2fvx4d7+npKS49NM199N3/feE0l35pG3btvbggw+6/HTUUUe597zKOP/90rp1a3e9VVmnzzzwwANVpoUqdxSQ+y1YsMBdTwVSus8OOOAAe+6559x72t9NN91kt956q73zzjt7PXtbtWrl8vX27dsjr+n8aqowkrvvvtulb21ovxdeeKEtXLjQfvnLX7pzVdCnfOLlXwX33/3ud+3VV1+1H/zgB+5+6N27t7s/dP7R/vnPf7pgV/nrwAMPdPlN96T2p/OePHmy+1nppuvhBe+q1BAdg57Jun6qiKhvTz/9tG3atMn+/Oc/u78htb1PdE2regbXJu/p2ay8E11pBaD+pNfjvgE0AyqUKpBVgKAa+cWLF7uChQp0DUnBkQJ7tX7I/PnzXYtObWjyF7UGKNjydO3a1RXA1QKSmpoaKRhWRYXbt99+2xV6TjvtNPeaWihUqFLhXS1s6en79uhVQKtCtb9lRsGIClsqaKuFSP7v//7PtZro97344ou1+h06zp49e7qWJIluMVYhTb9LrVLf//733WtqOVJQogoJtcpqvJ+oUOntR1asWFFpXyrw9urVy30vLS3NvXbEEUfYqaee6o5bhdG6okBKLZxqmfeOWy13Gt+tfPPf//7XFbpjHZPSVQXhRI9Jx3DOOedUCn5U8aKeFgocvOsXi9K0b9++Lmju06ePe029IVSo9rewxZsfdJ2zs7MrXR8FgLXNf+p2qpbl3/zmN5Hvq8VcLeM6Li+ta6JjUU+I6dOnuxZK5SdVaOnZooqzquh9pUes501N+U/BiD6j4MY7drUs6x5VzxPlF0/37t0r7UtBv85Tx+Y9F5Sf3nzzTXfeyi8eVaYo7b1rsWvXLhd0KWCPTnMFoaoc1HcUnHoUjOlZ5P0+7UcBs+5HVQB5vRqUbmrtVdDp5RNVmqiFXnncOy7lHbV6+vNONLWUq9JH94NHv7umYFvnpt4TzzzzjDtm77z1PFQ+UT7SsWjfqihQZZfo74eewbqmytfRFZ96DquiRfR3RpVDv/rVr1wFlfd97dOrGFHa5Ofnuzzor3zR8JP6pL8POnevZXlf7hN9VpUIsZ7Bur/jzXvq5SCqWPNfRwD1h5ZrAAnZb7/9XNc+FYhUaFKB0V8IjaaCWSKbv9ubn1pIFNipYLN+/XpXmPAKl/4AvLp9qVCqVmoVyD766CMXqHhddouLi61du3bu/9W1Yuv3qoCrQM3/u9Rtb+PGja6bZbzH46fCmVoxdJ7Rv08tdCqMe/tRGqgwqRYLfxfReKj7bZs2bap8X9dZx63ziT4/tZr6u9RWR8GdCsJKJ386KHjr16+fK3T6KW38vy+W6M/4J/LxCtz+gqf3s4JoFUqrOiYV3pWXoo8pWk3XU63HarVSl1FdGwU4XpdN5a94eooouPbo+9HnE29+qOk6x5v/VLGi1n+1OqvyQMenljS1XkafU/T1iU6fc88919auXRtpuVQAq6BZQXdVFIx5QUhtKU8oXfwBriq+lKZKK12nqowePdoFvCUlJS7YUSCq55/SWq9Ff9ZPgbA+8+GHH+61X7Wu6jmhFly///3vfy6g8oIpUZdr8QeiCrKUD/V5j55HOk8v7yjt1eIfnXf8dC8rcNXzXPnJo2dgrGsbnQcVHKoHk3etvQoBVT6KnhOhUKhS92x9RuevrtMepaeOVfelund7tH9V4ip4V8XBf/7zH9d6rQoU79gUTKrSRpWs+ox6a0Q/F+qa9q/WaOUd9ezZl/ukJrXJe7rHlQaswAA0HFquASRMhT61AKrrW6zumX6JTjqklj8FKFX58Y9/HClEet0DPSqsV9c1W91s1XVYhUMV/NRNMTc3172nAplaGVWZoNYHtWypq65ayP3dLdVio8+qBTYWpZEKhvEcj59as1QY1jH46fepMF5Vuuo9HXM8dNwaK1ldsKLfJ1UVzFWxEQ9VYCi4UiFRW7To1v3qAiyPWoSju8R6LWdeUOkPFLzfo1ZhXcOajkkF4+qoJbG6/K2CtLqwaty1Ap4ePXpEAqN4Cvxq4VO3bF1THasCiVGjRrk8W9v8oCDWS5tE8p/S69e//rWrhFKLrLpvazx7rLRS119tVVHLo/Ke7gm1+OlftXZWl+7q+tuiRQvbF8oT7du33+t1vabroX1XRYGaKhVVAaeASsettFF+ir6WCjL9vJbT6IovXTs9W9STIrpFW9fN6xHi8X5W92CPd6/r89F5R702FHzp+aZA1msFjkX5X89AdT9WTxyPKp4034KewephoCBSwW/0eWgIQ1V5UJVY+oyO219ZEIt6MmjTvAdeC7XniSeecMNStC9dM3WZV17wnsdKQ/VOUN6Nnq+gNnm/NnQ8urd1n/orr2pzn9SkNnlPlCbV5WUAdYvgGkDCVIBRAUfBqLqJq6VABbNY/F0t90V0ATOaCmEa66yuiRqHqK6xXkFKgb+/RUhjYL3xbCr8qGuejlvHqABYhRW1MnjjQFVYU8Cuwq9aEUUFRBUWPSpQKeiuarypAipPdcfjp3F0akmLNU5Tv0/duL1up9Fq06qnrpYquFW3dq5aQUTpG6srrlqe46HvqhCqwnusQD06YFIrjz8wjh4/K2rxUrdej7qcqsU1OujwF6wVbKibs/JVbY8pmoIJLQnlUbdeBdMe9YpQQPynP/3JFYbVJVl5xxs7WxN1C1f35LfeestVYig4ir4f4s0PqhTS+N94VJf/FGjpfHTeCvS9gEKt0NE0sZo2j87bf+5Ke1WeqeVPrZTq1qvW0+p4FSP7QnlC42KjeYGp9u1NGhZrLLJaDBVEqXJR97zEClj93ei9pcPE6wnjUWCt66vuz9FjvnXfRQfjXsCke9a7F719Ry9np+NSy6b2qx4PCjarCmzVq0HBtVpDo2fuV2XQ9ddf747V69UTXWGlPKBWdT0nY9E+9RmvIlLX3aNJz/SaF5grmNfzSIGpKjqV1qKx2grwdSxKL6/CQgH/J598EtmfhlwoXyovqXJBlZ56lnjPhbqmYxH9HVTLufcsrc19Iv40SSTviSriavq7CaDuEFwDSIi6Hz7++OMusFG3PxWeVXjRDLyxeGPA6pICDY0/U1CtQpkCWBVetASJjs8LphQI+3+/v4u2CsDe+EX/ZzQ2ULwurOp2qeBGLTMKtrRvL9AWFSqnTJniCohqmfBorKuORxN/eao7Ho+6DKqVXEF4dCHW+30KylVQ9we2akFRsFxVkBWL9qNKherGJHotrUovtTR61C1TQZEqNHQsSi9vzHIsqqjQWFAFm/40UKCgvKNCtYJJT//+/StVFMRarkvXwr8vf4ue14VWEx75xzfqZwUdRx55ZK2PKZoCHP/31ELlp66wmixOBf6q8le8XcPVyyLWeOZ48oOCJwUXyss1qSn/6ZyUJt5cB979qP1H3+sK+Pyv+WeG9gcnqhRRUK2u+NWNQxedoyrAotWU/0St47qXFaR6LcXKC8oTOs7qloTTees6euOFRRUQ6p0QfS3VU8Gbf0EUGOnZ4T83pZc2dXWOFVgpf6pLtY7POy8NXfEqcbz8rXG3+r7/2SM6F839oInBdDzV9SDQ9da9XdXEXxreoHysXi7KZ7o/op+BCn4VXPpb4NWCrMosBZh6jug56c11IHpm6vmh57cCe9GzSEGxnrcK1lXRo2e70l8VDjoWj1rR9bq/14ueS6qw1Phnb8Z0/3Ohrik/as4OjXlXZdpLL73kjife+8TLO9Xl3drkPVXIqAIv3kpPAIkjuAawz1Tw1jhlFYKvuOIK1+qrJYw0jlR/+GuafbiuqEugCpoKgDSjrgpPCvjV5U5dBeOhQqKCM7XGaKIcFdzUHdJrgfa3TqugqnHBsaigqEK7CljalDYK8FVYVOG2tpPpqBVNhVTNhBuLghGN5VPBUTPjqruhCuFqedK18HoQKBhT4auq8fAqoOvc1WLrFdq93+//vlpiNJZQY2/VtVjpq0oJtegr+FUApcKfxgLWNKbXmxRNhWftU4GDCtwaX+mfVK4uqGCrVlFdB11LXSMFmyp4q6Cqa1Pfx6SAR0GHKoCUx9R6rBYtBUP+/FUdBTHqNaDCd6yu8jXlB7VsKg0UwCgo8l9rryVUwapXiVBT/tM5KVDTeShvKQjS/a9nQ7zn5KcgQK1xs2bNcsFJTVRBoIBLrdfKbzqHpUuXxpX/VCGo4E7n5vVaUdppHLeeH9XReev3auIq3eP6fapUjHUt9Tk9X/RsUMux7jM9p7wWR+/+U+AVHRR79HzVnBJqmfWWVlNAJRoWoLTStVLlie5h9SKKlXe8yi8FtwqOY9F9ET1beTSlrdcqGz2eVz0/1NtH/2pGcLWaqrVcvRT0+0U9TNR7Q38/fvrTn7ou3/qOglJ1eY6m4R6a6FCttXr2KJ2U9mq9Vg8g9TDQmGv1RPB6qWjcuPal57qGC9WWAl8vyPXSyj+TuZfnouk7qkDQ9dTfD6VBPPeJNxmb8lB1kwvWJu95c2BozDeAhkFwDWCfqaCjwEp/5L0gTgUltdCqe7Zaa6tr/akrKsyoYKXWLhWmVGBR8KvWuuhxetVR4Udd7lTg03ErwFChRa3NKlRFr2Mci7paqgClbpMqPCmY0ZhLBTvRkxTFSwXLqrrZq4Cuwrq67Kr1XgU+FSYVHKpQ5z83taIo8IhFhU9v6Rht0ZQOXpdVLWelc9PkQ5rcTYV1tczp2qtAqhm1VYlQ01JoKvDpuinAVcWIzlGBp8ZSVjcp3r7StVVQqXypYFMVAQqsFDR7XWTr85gUCCh/esGDum+rEK4xpbGWH4pF3VpVeaTAJFYBvKb8oFZhb71ctT7GomPyr1teXf7TMkrqxaAgQvtWMK/u5t7s8eqS6g0liJcCLwWP8XRbV2CllkFVhCkPKn/Hm//0jFBLsbocK+jzWnx1LtGzVUfTM0KtsHoG6nmjiiUNVVDFhFqP/SsKKCBW0KQJ4ZQ+Cob9k3OJgjRdo6rouPQ8072n/en41KVYQ1i0L52rWm7V3Tt60jl/WukcFaRWN9ZZzyr/8JXa0vNOzwblQR2Xglzldd1/XjdoPbN1D6oyQM9KBYUK1lWRFauCQfvUeesZr6BVFWUK6nUv6xrqfVVeqAJC568gXQGoKkp0L+/LuHy1tEeLXi3A6zEQTT2AVJml5ddU2RHPfaJ9Ky+roqe64DqevOdVCqjySOlZX2PMAewtJVyf0yYCAAJDY/2iJx/yaNZeteR5YwZr+z4aBxX2Fej5g+favN8Q1NVXvU6i102viiorNKSiNutqNwQFf2otVkBcH/eNrpUCx6oqzNC8aViKeuSoQsLfhRxA/aLlGgCaAXW5jNVVFAgKBdPqCaMu4WqNjJe6v6t1UMMvqupWDTQ36j2g3hn+8fAA6h/BNQA0A5o0p7rlrGqayKym99E4aKx39PrvtXm/PqlLq8b2a+Kqqpayi0UTran7sYZvKKAAmjvNj6HZydUDpbqZxwHUPbqFAwAAAACQoKpntAAAAAAAAHEhuAYAAAAAIEEE1wAAAAAAJIjgGgAAAACABBFcAwAAAACQIIJrAAAAAAASRHANAAAAAECCCK4BAAAAAEgQwTUAAAAAAJaY/wf3VOMD2zJg9AAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x550 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(10, 5.5))\n",
    "\n",
    "colors = ['#4C78A8', '#54A24B', '#E45756']\n",
    "for (name, values), color in zip(samples.items(), colors):\n",
    "    x = np.sort(values / np.median(values))\n",
    "    survival = 1 - np.arange(len(x)) / len(x)\n",
    "    ax.loglog(x, survival, color=color, linewidth=2.5, label=name)\n",
    "\n",
    "ax.set_xlim(0.5, None)\n",
    "ax.set_title('Хвосты распределений: доля значений больше x')\n",
    "ax.set_xlabel('x — значение, делённое на медиану (логарифмическая шкала)')\n",
    "ax.set_ylabel('P(X > x)')\n",
    "ax.legend()\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a6ae3346",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:27.444945Z",
     "iopub.status.busy": "2026-09-21T13:44:27.444945Z",
     "iopub.status.idle": "2026-09-21T13:44:27.450059Z",
     "shell.execute_reply": "2026-09-21T13:44:27.450059Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Корпусо-лет: 200, гибелей: 122, λ = 0.61\n",
      " Гибелей за год  Наблюдалось   Пуассон\n",
      "              0          109     108.7\n",
      "              1           65      66.3\n",
      "              2           22      20.2\n",
      "              3            3       4.1\n",
      "              4            1       0.6\n"
     ]
    }
   ],
   "source": [
    "# Данные Борткевича: гибель от удара копытом в 10 корпусах прусской кавалерии за 20 лет\n",
    "deaths = np.array([0, 1, 2, 3, 4])\n",
    "observed = np.array([109, 65, 22, 3, 1])\n",
    "\n",
    "corps_years = observed.sum()\n",
    "lam = (deaths * observed).sum() / corps_years\n",
    "expected = corps_years * stats.poisson.pmf(deaths, lam)\n",
    "\n",
    "print(f'Корпусо-лет: {corps_years}, гибелей: {(deaths * observed).sum()}, λ = {lam:.2f}')\n",
    "print(f'{\"Гибелей за год\":>15s} {\"Наблюдалось\":>12s} {\"Пуассон\":>9s}')\n",
    "for d, o, e in zip(deaths, observed, expected):\n",
    "    print(f'{d:15d} {o:12d} {e:9.1f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "bd128f2f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:27.451308Z",
     "iopub.status.busy": "2026-09-21T13:44:27.451308Z",
     "iopub.status.idle": "2026-09-21T13:44:27.455413Z",
     "shell.execute_reply": "2026-09-21T13:44:27.455413Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 10 лет: 9.6%\n",
      " 30 лет: 26.0%\n",
      " 50 лет: 39.5%\n",
      "100 лет: 63.4%\n"
     ]
    }
   ],
   "source": [
    "# Вероятность хотя бы одного «столетнего» паводка за n лет\n",
    "for years in [10, 30, 50, 100]:\n",
    "    print(f'{years:3d} лет: {1 - (1 - 1 / 100) ** years:.1%}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81477abc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-21T13:44:27.457425Z",
     "iopub.status.busy": "2026-09-21T13:44:27.457425Z",
     "iopub.status.idle": "2026-09-21T13:44:27.463468Z",
     "shell.execute_reply": "2026-09-21T13:44:27.463468Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Цифра       Бенфорд  Логнорм. σ=3  Произведение         Сумма\n",
      "    1         30.1%         29.8%         30.3%          0.7%\n",
      "    2         17.6%         17.7%         19.2%         98.6%\n",
      "    3         12.5%         12.5%         13.1%          0.7%\n",
      "    4          9.7%          9.7%          9.3%          0.0%\n",
      "    5          7.9%          7.9%          7.6%          0.0%\n",
      "    6          6.7%          6.6%          6.1%          0.0%\n",
      "    7          5.8%          6.1%          5.3%          0.0%\n",
      "    8          5.1%          5.2%          4.7%          0.0%\n",
      "    9          4.6%          4.5%          4.3%          0.0%\n"
     ]
    }
   ],
   "source": [
    "def first_digit_shares(values):\n",
    "    values = np.asarray(values, dtype=float)\n",
    "    values = values[values > 0]\n",
    "    digits = (values / 10 ** np.floor(np.log10(values))).astype(int)\n",
    "    return np.bincount(digits, minlength=10)[1:10] / len(digits)\n",
    "\n",
    "benford = np.log10(1 + 1 / np.arange(1, 10))\n",
    "wide_lognormal = rng.lognormal(mean=0, sigma=3, size=n_samples)\n",
    "\n",
    "columns = {\n",
    "    'Бенфорд': benford,\n",
    "    'Логнорм. σ=3': first_digit_shares(wide_lognormal),\n",
    "    'Произведение': first_digit_shares(products),\n",
    "    'Сумма': first_digit_shares(sums),\n",
    "}\n",
    "\n",
    "print('Цифра' + ''.join(f'{name:>14s}' for name in columns))\n",
    "for digit in range(1, 10):\n",
    "    print(f'{digit:5d}' + ''.join(f'{shares[digit - 1]:14.1%}' for shares in columns.values()))"
   ]
  }
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