{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Manuel\\AppData\\Local\\Temp\\ipykernel_21784\\915643508.py:9: MatplotlibDeprecationWarning: The 'use_line_collection' parameter of stem() was deprecated in Matplotlib 3.6 and will be removed two minor releases later. If any parameter follows 'use_line_collection', they should be passed as keyword, not positionally.\n",
      "  plt.stem(A,f, linefmt='red',markerfmt='ro', use_line_collection=True)\n"
     ]
    },
    {
     "data": {
      "image/png": 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PHj1Cp06dIITA+fPnNYo5ICAAqampCl3DO3bsQEFBAQICArQSd5H33nsPMTExxV5Fl1ReVLNmTfnPRT2AHTp0AAD5JcnyIJPJcOjQIfj7+6NevXry8saNG5c4bkkIgZCQECxfvhzff/+9Qk9ATEwM0tLSMGjQIHm7PXr0CPr6+vD09ERcXJxGcdaqVQunTp3C/fv3NVpeHR9//LFCz2nnzp0hk8lw586dYnUXLlyI8ePHY8GCBaXeRfgqe/fuBYBidxl+9tlnAIBffvlFobxFixby4RFAYW9N06ZN8ddff2kcQ1WUkpICqVQKBwcHrayve/fuCj1Knp6eAID3339f4U74onJt/T5ePBdq6/wQEBCA58+fY9euXfKygwcPIi0tTX4uFEJg586d6NOnD4QQCse0r68v0tPTX7n9gIAAGBgYKFyyPXLkCJKSkuSXajU5b6jTS7N9+3Y0b94czZo1U1j/W2+9BQAan5dUFRwcDENDQ/n7omO36Ptx9uxZ/PPPPxg5cqTCeOkhQ4YoXBkDCs+F9+7dU+myaVkFBAQobP/luF8UFxcHX19fdO/eHbt27YKRkZFG2zx79ixSU1Px6aefKoxb9vPzQ7NmzYqdC4HCKz0v6ty5s9rHHi/XKrFy5Uo0adIE6enp+O677/Drr78q/GJv3rwJIQRmzJiBGTNmKF1Hamoq7O3tlX6WmJiImTNn4qeffsKTJ08UPktPT9co5l69esHCwgLR0dHo3r07gMLLE66urmjSpIlW4i5Sv359+Pj4FCu/d+9esbLHjx9jzpw52Lp1q3zQbBFN91UVqampePr0KRo3blzsM2VlALBx40ZkZWVh9erVGDRokMJnN27cAAD5yfNl5ubmGsW5cOFCBAYGwsHBAW5ubujduzeGDRuGRo0aabS+0jRo0EDhfdFJ7uXv4JEjR/DLL79gypQpShN3ddy5cwd6enrF2tzOzg61atUqlmC+HGNRnC/HWN2tWbMGoaGh6NWrF44ePYqmTZuWaX0vt7uFhQUAFEsii8q19fsoj/ODi4sLmjVrhujoaAwfPhxA4bnQyspKfvw+fPgQaWlpWLt2bYlTEr0cz8vq1KkDX19f7N69G5GRkZBKpdi8eTNq1KiBgQMHAlD/vFGjRg2FS5ivcuPGDVy9erXEISiv2oeyetU5pej4fvn4r1GjRrHhLVOmTMGhQ4fg4eGBxo0bo2fPnhg8eDC8vLxee9xFnj17Bj8/P7i5uWHbtm1lurGvqC2UHavNmjXDsWPHFMqkUmmx36sm50ImeUp4eHjA3d0dAODv748333wTgwcPxvXr12FqaoqCggIAhfO/FY3veFlJiYRMJkOPHj3w+PFjTJkyBc2aNYOJiQmSkpIQFBQkX7e6jIyM4O/vj927d2PVqlVISUnB8ePHMW/ePHmdssStqYEDB+LEiROYPHkyXF1d5e3Xq1cvhX0taWyeuoNMy8LLywsXLlzAihUrMHDgQNSuXVv+WVGsmzZtgp2dXbFlNT34Bw4ciM6dO2P37t04ePAgFi1ahAULFmDXrl0a3ylZUpu9OG7oRUIIhfctW7ZEWloaNm3ahE8++QROTk4axfEiVcdeqhpjddeiRQvs3bsX3bt3R48ePXD8+HGFhEzd46mkdlfl91Hatkpavoiq5wd1BQQEYO7cuXj06BHMzMzw008/YdCgQfLjtGjdQ4cOLTZ2r4gqY1+HDh2Kn3/+GT///DPeffdd7Ny5Ez179pT/cVb3vGFkZKTW3ZgFBQVo3bo1li5dqvRzdXt61f1davN4bd68Oa5fv46ff/4Z+/fvx86dO7Fq1SrMnDkTc+bMeWXcyrZZ1nOhkZERevfujR9//BH79+8v89hXdbzq2FEVk7xX0NfXR3h4OLp164YVK1Zg6tSp8l4WAwMDpT1apfn999/x559/IioqCsOGDZOXx8TEFKur7pMDAgICEBUVhdjYWFy9ehVCCPnlCQBlilsTT548QWxsLObMmYOZM2fKy4v+d/siS0tLpROdKruUqAobGxtIpVKld3opKwMKE9yFCxeia9eu6NWrF2JjY+WXqopulLCxsdGo7Ur7XdatWxeffvopPv30U6SmpqJdu3aYO3fuK5M8ZW2Wl5eHBw8eqB3fi6ysrLBjxw68+eab6N69O44dO6ZwyVud72XDhg1RUFCAGzduKNwgk5KSgrS0NJ1PZFqZeXh4YM+ePfDz80OPHj1w9OhReXKh7eOpNKVtq7QeaXXOD5qcC+fMmYOdO3fC1tYWGRkZ+OCDD+SfW1tbw8zMDDKZrEznwnfffRdmZmbYvHkzDAwM8OTJE4W7ast63ihS0v47Ozvj4sWL6N69u1aeNKPp77IkRcf3zZs30a1bN3l5fn4+bt++XSyRNjExQUBAAAICApCXl4d+/fph7ty5CAsLK3VqJktLS6WXMcv6fZdIJPjhhx/w3nvvYcCAAdi3b1+xu3hVbfeitrh+/Xqxnt3r16+X27mQY/JU0LVrV3h4eCAiIgLPnj2DjY0NunbtijVr1ij9g1ratBRF2fmL/2MQQmD58uXF6pqYmACAyrO8+/j4oHbt2oiOjkZ0dDQ8PDwUemHKErcmlO0rAKUztzs7OyM9PR2XLl2Slz148KDY3ZfqbNvHxwd79uxRGO928+ZN7Nu3r8Tl2rRpg7179+Lq1avo06ePfFobX19fmJubY968eXj+/Hmx5V7VdiYmJsV+jzKZrNglKRsbG9SrV6/Y9AfKODs749dff1UoW7t2rVZ6P+vXr49Dhw7h6dOn6NGjh8KUFkXjLFX5Xvbu3RtA8d95Uc/Di9N+kPq6d++OLVu24ObNm+jVqxcyMjIAaP94Ko2zszN+++035OXlyct+/vln3L17t9Tl1Dk/qHsubN68OVq3bi0/F9atWxddunRR2Pb777+PnTt3KkwvVUTVc6GxsTH69u2LvXv3YvXq1TAxMcF7770n/7ys540iJiYmSi9fDxw4EElJSVi3bl2xz54+far2PHua/i5L4u7ujjp16mDdunXIz8+Xl//www/FLju+eI4BAENDQ7Ro0QJCCKVt93Lc165dU2jPixcv4vjx4xrF/XIcu3btQvv27dGnTx+cPn1a4XNl53Zl3N3dYWNjg8jISIXz+759+3D16tVyOxeyJ09FkydPxoABA7BhwwaMGjUKK1euxJtvvonWrVtj5MiRaNSoEVJSUnDy5Encu3cPFy9eVLqeZs2awdnZGZMmTUJSUhLMzc2xc+dOpdfZ3dzcAADjxo2Dr68v9PX1Ff43+jIDAwP069cPW7duRXZ2NhYvXlysjqZxa8Lc3BxdunTBwoUL8fz5c9jb2+PgwYP4+++/i9X94IMPMGXKFPTt2xfjxo2TTzPQpEkTjQdgz549GwcPHoSXlxdGjx4NmUyGFStWoFWrVqU+77BDhw748ccf0bt3b/Tv3x979uyBubk5Vq9ejQ8//BDt2rXDBx98AGtrayQmJuKXX36Bl5cXVqxYUeI63dzccOjQISxduhT16tWDk5MTmjZtivr166N///5wcXGBqakpDh06hDNnzmDJkiWv3L8RI0Zg1KhReP/999GjRw9cvHgRBw4ckE8xUVaNGzfGwYMH0bVrV/j6+uLw4cMwNzeHsbExWrRogejoaDRp0gS1a9dGq1at5NP0vMjFxQWBgYFYu3Yt0tLS4O3tjdOnTyMqKgr+/v4K/7snzfTt2xfr1q3DRx99hHfffRf79+8vl+OpJCNGjMCOHTvQq1cvDBw4ELdu3cL3338v78UqiTrnh6Jz4bRp0/DBBx/AwMAAffr0kSd/ygQEBGDmzJmQSqUYPnx4scug8+fPR1xcHDw9PTFy5Ei0aNECjx8/RkJCAg4dOoTHjx+rtP9Dhw7Fxo0bceDAAQwZMkQhprKeN17c/+joaISGhqJ9+/YwNTVFnz598OGHH2Lbtm0YNWoU4uLi4OXlBZlMhmvXrmHbtm04cOCAfOiRKjT9XZbE0NAQs2fPxtixY/HWW29h4MCBuH37NjZs2ABnZ2eFXrCePXvCzs4OXl5esLW1xdWrV7FixQr4+fm98jGYH330EZYuXQpfX18MHz4cqampiIyMRMuWLeX/8SkLY2Nj/Pzzz3jrrbfw9ttv48iRI/LznZubG1avXo2vv/4ajRs3ho2NjdIxmAYGBliwYAGCg4Ph7e2NQYMGyadQcXR0LL/Hc6p1L24VV9pjuWQymXB2dhbOzs7yaUpu3bolhg0bJuzs7ISBgYGwt7cX77zzjtixY4d8OWW3qf/xxx/Cx8dHmJqaCisrKzFy5Ehx8eLFYtML5Ofni7Fjxwpra2shkUgUpj5ACVNYxMTECABCIpEoTPnyIlXiLgnUfKzZvXv3RN++fUWtWrWEhYWFGDBggLh//77S+A8ePChatWolDA0NRdOmTcX3339fpilUhBAiNjZWtG3bVhgaGgpnZ2fx7bffis8++0xIpdJX7tePP/4oatSoIQICAuSPpomLixO+vr7CwsJCSKVS4ezsLIKCgsTZs2flyymL+dq1a6JLly7C2NhYABCBgYEiNzdXTJ48Wbi4uAgzMzNhYmIiXFxcxKpVqxSWLWkKFZlMJqZMmSKsrKxEzZo1ha+vr7h582aJU6i8/L0uaQqFlx9rdurUKWFmZia6dOkin1bixIkTws3NTRgaGiq0u7J9f/78uZgzZ45wcnISBgYGwsHBQYSFhRWbiqCkR6qVND1CdVTaOWrx4sUCgHjnnXfE8+fPVT6elH33i6aaWLRokUJ5SVNYLFmyRNjb2wsjIyPh5eUlzp49q9IUKuqcH7766ithb28v9PT0FKZTKWnajxs3bsindTp27JjS9kxJSRFjxowRDg4OwsDAQNjZ2Ynu3buLtWvXKq2vTH5+vqhbt64AUOJj5VQ5b5T2GK2srCwxePBgUatWLfkUOkXy8vLEggULRMuWLYWRkZGwtLQUbm5uYs6cOSI9PV1eT5UpVIRQ7XdZ0vegpEfX/ec//xENGzYURkZGwsPDQxw/fly4ubmJXr16yeusWbNGdOnSRdSpU0cYGRkJZ2dnMXnyZIV9KGm7Qgjx/fffi0aNGglDQ0Ph6uoqDhw4UOIUKi9/r4Uo/vdD2e/j0aNHokWLFsLOzk7+mMnk5GTh5+cnzMzMFKaFKal9o6OjRdu2bYWRkZGoXbu2GDJkiLh3755CnZK+C8qO31eR/P/OEVUb/v7+uHLlitKxP0REVL4KCgpgbW2Nfv36Kb3UTNrDMXlUpb34qDigcFD33r17X/m4JSIiKrtnz54VG3e5ceNGPH78mOfh14A9eVSl1a1bV/5szDt37mD16tXIzc3F+fPn8cYbb+g6PCKiKi0+Ph4TJ07EgAEDUKdOHSQkJOC///0vmjdvjnPnzilMpkzaxxsvqErr1asXtmzZguTkZBgZGaFjx46YN28eEzwiotfA0dERDg4O+M9//oPHjx+jdu3aGDZsGObPn88E7zVgTx4RkRb9+uuvWLRoEc6dOyeftsTf37/UZeLj4xEaGoorV67AwcEB06dPR1BQ0GuJl4iqLo7JIyLSouzsbLi4uGDlypUq1f/777/h5+eHbt264cKFC5gwYQJGjBiBAwcOlHOkRFTVsSePiKicSCSSV/bkTZkyBb/88ovCpLwffPAB0tLSsH///tcQJRFVVdVuTF5BQQHu378PMzMzrTwGhoh0RwiBzMxM1KtXT61nflYkJ0+eLPbIK19fX0yYMKHU5XJzcxVmzi8oKMDjx49Rp04dntuIKjltnduqXZJ3//59tR/aTEQV2927d1G/fn1dh6GR5ORk2NraKpQVPW/16dOnMDY2VrpceHj4Kx/cTkSVW1nPbdUuySt6PMrdu3dhbm6u42iIqCwyMjLg4ODwysceVUVhYWEIDQ2Vv09PT0eDBg14biMqTXY2UK9e4c83bwL//yzuiiYjMxMOTZuW+dxW7ZK8ossY5ubmPBFS1SeTAUePAg8eAHXrAp07A///YPiqpDJfnrSzs0NKSopCWUpKivw5wSUxMjKCkZFRsXKe24hK8eL5z84OKOX5xzr1/3GV9dxWIQaxrFy5Eo6OjpBKpfD09MTp06dLrLtr1y64u7ujVq1aMDExgaurKzZt2vQaoyWqJHbtAhwdgW7dgMGDC/91dCwspwqjY8eOiI2NVSiLiYlBx44ddRQREVUVOk/yoqOjERoailmzZiEhIQEuLi7w9fVFamqq0vq1a9fGtGnTcPLkSVy6dAnBwcEIDg7mdANEL9q1C+jfH7h3T7E8KamwnIleucnKysKFCxdw4cIFAIVTpFy4cAGJiYkACi+zDhs2TF5/1KhR+Ouvv/D555/j2rVrWLVqFbZt24aJEyfqInwiqkqEjnl4eIgxY8bI38tkMlGvXj0RHh6u8jratm0rpk+frlLd9PR0AUCkp6erHStRpZCfL0T9+kIAyl8SiRAODoX1KrmKeDzHxcUJAMVegYGBQgghAgMDhbe3d7FlXF1dhaGhoWjUqJFYv3692tutiG1BVOFkZf17LszK0nU0JdLW8azTMXl5eXk4d+4cwsLC5GV6enrw8fHByZMnX7m8EAKHDx/G9evXsWDBAqV1Xp5mICMjo+yBE1VkR48W78F7kRDA3buF9fiAcK3r2rVrsQeyv2jDhg1Klzl//nw5RkVE1ZFOL9c+evQIMplM6fQBycnJJS6Xnp4OU1NTGBoaws/PD9988w169OihtG54eDgsLCzkL06fQlXegwfarUdERJWSzsfkacLMzAwXLlzAmTNnMHfuXISGhiI+Pl5p3bCwMKSnp8tfd+/efb3BEr1udetqtx4REVVKOr1ca2VlBX19faXTB9jZ2ZW4nJ6eHho3bgwAcHV1xdWrVxEeHo6uSi49lTTNAFGV1bkzUL9+4U0Wyi4bSiSFn3fu/PpjIyKi10anPXmGhoZwc3NTmD6goKAAsbGxak0fUFBQoDDujqha09cHli8v/PnlOZaK3kdEVMn58oiI6F9q9+QlJibCwcGh2AR9QgjcvXsXDRo0UGt9oaGhCAwMhLu7Ozw8PBAREYHs7GwEBwcDAIYNGwZ7e3uEh4cDKBxj5+7uDmdnZ+Tm5mLv3r3YtGkTVq9ere6uEFVd/foBO3YA48YV9ugVqV+/MMHr109noRFRFSYEkJOj6yhKlp2t6wheK7WTPCcnJzx48AA2NjYK5Y8fP4aTkxNkMpla6wsICMDDhw8xc+ZMJCcnw9XVFfv375ffjJGYmKjwcN7s7Gx8+umnuHfvHoyNjdGsWTN8//33CAgIUHdXiKq2fv0AHx/AwqLw/d69QM+e7MEjovIhBPDmm8CJE7qOhP6fRJR2r78Senp6SElJgbW1tUL5nTt30KJFC2RX8Cw5IyMDFhYWSE9P56N/qOrLzgZMTQt/zsqquI/w0RCP53+xLUjnXjzfVHReXoXTSFXQRyJq63hWuSev6EHYEokEM2bMQM0XHuork8lw6tQpuLq6ahwIERERVREpKRX7P5U1a1bYBE+bVE7yiibqFELg999/h6GhofwzQ0NDuLi4YNKkSdqPkIiIiCoXE5OKneRVEyoneXFxcQCA4OBgLF++nJcDiIiIiCowtW+8WL9+fXnEQURERERapFKS169fP2zYsAHm5ubo94qpF3bt2qWVwIiIiIhIcyoleRYWFvJ58SyKpmMgIiIiogpLpSTvxUu0vFxLREREVPFp9Fiz/Px8HDp0CGvWrEFmZiYA4P79+8jKytJqcERERESkGbVvvLhz5w569eqFxMRE5ObmokePHjAzM8OCBQuQm5uLyMjI8oiTiIiIiNSgdk/e+PHj4e7ujidPnsDY2Fhe3rdvX8TGxmo1OCIiIiLSjNo9eUePHsWJEycUJkMGAEdHRyS9+CB0IiIiItIZtXvyCgoKIJPJipXfu3cPZmZmWgmKiIiIiMpG7SSvZ8+eiIiIkL+XSCTIysrCrFmz0Lt3b23GRkREREQaUvty7ZIlS+Dr64sWLVrg2bNnGDx4MG7cuAErKyts2bKlPGIkIiIiIjWpneTVr18fFy9eRHR0NC5evIisrCwMHz4cQ4YMUbgRg4iIiIh0R+0kb8uWLRg0aBCGDBmCIUOGKHw2efJkLFq0SGvBEREREZFm1B6TN3r0aOzbt69Y+cSJE/H9999rJSgiIiIiKhu1k7wffvgBgwYNwrFjx+RlY8eOxbZt2xAXF6fV4IiIiIhIM2oneX5+fli1ahXeffddnDt3Dp9++il27dqFuLg4NGvWrDxiJCIiIiI1qT0mDwAGDx6MtLQ0eHl5wdraGkeOHEHjxo21HRsRERERaUilJC80NFRpubW1Ndq1a4dVq1bJy5YuXaqdyIiIiIhIYyoleefPn1da3rhxY2RkZMg/l0gk2ouMiIiIiDSmUpLHGyqIiIiIKhe1b7wgIiIioopP7Rsv+vbtq/SyrEQigVQqRePGjTF48GA0bdpUKwESERERkfrU7smzsLDA4cOHkZCQAIlEAolEgvPnz+Pw4cPIz89HdHQ0XFxccPz48fKIl4iIiIhUoHZPnp2dHQYPHowVK1ZAT68wRywoKMD48eNhZmaGrVu3YtSoUZgyZYrChMlERERE9Pqo3ZP33//+FxMmTJAneACgp6eHsWPHYu3atZBIJAgJCcHly5e1GigRERERqU7tJC8/Px/Xrl0rVn7t2jXIZDIAgFQq5XQqRERERDqk9uXaDz/8EMOHD8cXX3yB9u3bAwDOnDmDefPmYdiwYQCAI0eOoGXLltqNlIiIiIhUpnaSt2zZMtja2mLhwoVISUkBANja2mLixImYMmUKAKBnz57o1auXdiMlIiIiIpWpneTp6+tj2rRpmDZtGjIyMgAA5ubmCnUaNGigneiIiIiISCNqJ3kvejm5IyIiIqKKQaUkr127doiNjYWlpSXatm1b6k0VCQkJWguOiIiIiDSjUpL33nvvwcjICADg7+9fnvFUHDIZcPQo8OABULcu0LkzoK+v66iqFrYxERFRuVEpybO0tJTPixccHIz69esrzJNXVitXrsSiRYuQnJwMFxcXfPPNN/Dw8FBad926ddi4caN8Hj43NzfMmzevxPoa2bULGD8euHfv37L69YHly4F+/bS3neqMbUxERFSuVMrUQkND5TdZODk54dGjR1oLIDo6GqGhoZg1axYSEhLg4uICX19fpKamKq0fHx+PQYMGIS4uDidPnoSDgwN69uyJpKQk7QS0axfQv79i8gEASUmF5bt2aWc71RnbmIiIqNxJhBDiVZUaNGiAsLAw9O7dG05OTjh79iysrKxKrKsOT09PtG/fHitWrABQ+Ig0BwcHjB07FlOnTn3l8jKZDJaWllixYoV8nr7SZGRkwMLCAunp6cVvHJHJAEfH4slHEYmksLfp7795WVFTbOPXKzsbMDUt/DkrCzAx0W08Wlbq8VzNsC1I56r4+eZ10tbxrNLl2unTp2Ps2LEICQmBRCKRT4L8IiEEJBKJ/KkXqsjLy8O5c+cQFhYmL9PT04OPjw9Onjyp0jpycnLw/Plz1K5dW+nnubm5yM3Nlb8v6pFU6ujRkpMPABACuHu3sF7XrirFRy9hGxMREb0WKiV5H3/8MQYNGoQ7d+6gTZs2OHToEOrUqVPmjT969AgymQy2trYK5ba2tkofnabMlClTUK9ePfj4+Cj9PDw8HHPmzFEtoAcPtFuPimMbExERvRYqz5NnZmaGVq1aYf369fDy8pLfbatL8+fPx9atWxEfHw+pVKq0TlhYGEJDQ+XvMzIy4ODgoHyFdeuqtmFV61FxbGMiIqLXQu3JkAMDA7W2cSsrK+jr68sfj1YkJSUFdnZ2pS67ePFizJ8/H4cOHUKbNm1KrGdkZKR6Qtq5c+F4sKSkwsuGLysaL9a5s2rro+LYxkRERK+F2vOg6OnpQV9fv8SXOgwNDeHm5obY2Fh5WUFBAWJjY9GxY8cSl1u4cCG++uor7N+/H+7u7uruQsn09Qun8AAKk40XFb2PiOANAWXBNiYiInot1O7J27Vrl8ITL54/f47z588jKipK9bFvLwgNDUVgYCDc3d3h4eGBiIgIZGdnIzg4GAAwbNgw2NvbIzw8HACwYMECzJw5E5s3b4ajoyOSk5MBAKampjAtuqunLPr1A3bsAMaNK+xtKlK/fmHywTncyo5tTEREVO7UTvKUPfGif//+aNmyJaKjozF8+HC11hcQEICHDx9i5syZSE5OhqurK/bv3y+/GSMxMVFh4uXVq1cjLy8P/fv3V1jPrFmzMHv2bHV3R7l+/QAfH8DCovD93r1Az57sXdImtjEREVG5UmmePFX89ddfaNOmDbKysrSxunKj8twznO+n/LGNy18Vb2PODfcvtgXpXBU/37xO2jqetfJssqdPn+I///kP7O3ttbE6IiIiIiojtS/XWlpaKozJE0IgMzMTNWvWxPfff6/V4IiIiIhIM2oneREREQrv9fT0YG1tDU9PT1haWmorLiIiIiIqA53Ok0dERERE5UPtJK9ITk4OEhMTkZeXp1Be2sTERERERPR6qJ3kPXz4EEFBQdi/f7/Sz2UyWZmDIiIiIqKyUenu2tq1a+PRo0cAgIkTJyI9PR2nTp2CsbEx9u/fj6ioKLzxxhv46aefyjVYIiIiIlKNSj15y5Ytg5mZGQAgNjYWe/bsgbu7O/T09NCwYUP06NED5ubmCA8Ph5+fX7kGTERERESvplJPnpOTk/y5tFlZWfKnUVhaWuLhw4cAgNatWyMhIaGcwiQiIiIidaiU5HXt2hWPHz8GADRt2hQ3btwAALi4uGDNmjVISkpCZGQk6tatW36REhEREZHKVLpc++TJE1j8/zNGQ0JCcOfOHQCFz4vt1asXfvjhBxgaGmLDhg3lFigRERERqU6lJK8owQOAoKAg+c9ubm64c+cOrl27hgYNGsDKykrrAZIaZDLg6FHgwQOgbl2gc2fg/y+zE1UK/A4TEWmNxvPkFalZsybatWunjVioLHbtAsaPB+7d+7esfn1g+XKgXz/dxUWkKn6HiYi0SuUkLzQ0VKV6S5cu1TgY0tCuXUD//oAQiuVJSYXlO3bwjyRVbFXwO7xy5UosWrQIycnJcHFxwTfffAMPD48S60dERGD16tVITEyElZUV+vfvj/DwcEil0tcYNRFVJSoneefPn1d4f+zYMbi5ucHY2FheJpFItBcZqUYmK+z9ePmPI1BYJpEAEyYA773Hy15UMVXB73B0dDRCQ0MRGRkJT09PREREwNfXF9evX4eNjU2x+ps3b8bUqVPx3XffoVOnTvjzzz8RFBQEiUTC/zgTkcZUTvLi4uIU3puZmWHz5s1o1KiR1oMiNRw9qnh562VCAHfvFtbr2vW1hUWksir4HV66dClGjhyJ4OBgAEBkZCR++eUXfPfdd5g6dWqx+idOnICXlxcGDx4MAHB0dMSgQYNw6tSp1xo3EVUtKk2hQhXYgwfarUf0ulWx73BeXh7OnTsHHx8feZmenh58fHxw8uRJpct06tQJ586dw+nTpwEAf/31F/bu3YvevXuXuJ3c3FxkZGQovIiIXlTmGy9Ix1Sdm5BzGFJFVcW+w48ePYJMJpNPGl/E1tYW165dU7rM4MGD8ejRI7z55psQQiA/Px+jRo3CF198UeJ2wsPDMWfOHK3GTkRVC3vyKrvOnQvvQCxpPKREAjg4FNYjqoj4HUZ8fDzmzZuHVatWISEhAbt27cIvv/yCr776qsRlwsLCkJ6eLn/dvXv3NUZMRJWByj15ly5dUngvhMC1a9eQlZWlUN6mTRvtREaq0dcvnGKif//CP4YvDl4v+qMZEVFpBqxTNVTFvsNWVlbQ19dHSkqKQnlKSgrs7OyULjNjxgx8+OGHGDFiBIDCx0RmZ2fj448/xrRp06CnV/z/40ZGRjAyMtL+DhBRlaFykufq6gqJRALxwgn4nXfeAQB5uUQigUwm036UVLp+/QqnmBg3rnDKiSL16xf+caxkU09QNVSFvsOGhoZwc3NDbGws/P39AQAFBQWIjY1FSEiI0mVycnKKJXJFzwsXyu46JiJSgcpJ3t9//12ecVBZ9esH+PgARU8n2bsX6Nmz0vR+EFWl73BoaCgCAwPh7u4ODw8PREREIDs7W3637bBhw2Bvb4/w8HAAQJ8+fbB06VK0bdsWnp6euHnzJmbMmIE+ffrIkz0iInWpnOQ1bNiwPOMgbXjxj0GXLpXyjyNVc1XkOxwQEICHDx9i5syZSE5OhqurK/bv3y+/GSMxMVGh52769OmQSCSYPn06kpKSYG1tjT59+mDu3Lm62gUiqgIkoppdC8jIyICFhQXS09Nhbm5ecsXsbMDUtPDnrCzAxOT1BFgWlS3myhZvZVTZ2ljNeFU+nqsBtgXpXGU731Rg2jqeeXctERERURXEJI+IiIioCmKSR0RERFQFaZTk5efn49ChQ1izZg0yMzMBAPfv3y82Zx4RERER6YbajzW7c+cOevXqhcTEROTm5qJHjx4wMzPDggULkJubi8jIyPKIk4iIiIjUoHZP3vjx4+Hu7o4nT57A2NhYXt63b1/ExsZqNTgiIiIi0ozaPXlHjx7FiRMnYGhoqFDu6OiIpBdnqiciIiIinVG7J6+goEDpo8vu3bsHMzMzrQRFRERERGWjdpLXs2dPREREyN9LJBJkZWVh1qxZ6N27tzZjIyIiIiINqX25dsmSJfD19UWLFi3w7NkzDB48GDdu3ICVlRW2bNlSHjESERERkZrUTvLq16+PixcvYuvWrbh06RKysrIwfPhwDBkyROFGDCIiIiLSHbUv1z579gw1atTA0KFDsXDhQqxatQojRozQOMFbuXIlHB0dIZVK4enpidOnT5dY98qVK3j//ffh6OgIiUSicNmYiIiIiP6ldpJnY2ODwMBAxMTEoKCgoEwbj46ORmhoKGbNmoWEhAS4uLjA19cXqampSuvn5OSgUaNGmD9/Puzs7Mq0bSIiIqKqTO0kLyoqCjk5OXjvvfdgb2+PCRMm4OzZsxptfOnSpRg5ciSCg4PRokULREZGombNmvjuu++U1m/fvj0WLVqEDz74AEZGRhptk4iIiKg6UDvJ69u3L7Zv346UlBTMmzcPf/zxBzp06IAmTZrgyy+/VHk9eXl5OHfuHHx8fP4NRk8PPj4+OHnypLphlSg3NxcZGRkKLyIiIqKqTqNn1wKAmZkZgoODcfDgQVy6dAkmJiaYM2eOyss/evQIMpkMtra2CuW2trZITk7WNKxiwsPDYWFhIX85ODhobd1EREREFZXGSd6zZ8+wbds2+Pv7o127dnj8+DEmT56szdi0IiwsDOnp6fLX3bt3dR0SERERUblTewqVAwcOYPPmzdizZw9q1KiB/v374+DBg+jSpYta67GysoK+vj5SUlIUylNSUrR6U4WRkRHH7xERUdUgBJCTo+solMvO1nUE9BK1k7y+ffvinXfewcaNG9G7d28YGBhotGFDQ0O4ubkhNjYW/v7+AAofmRYbG4uQkBCN1klERFRlCQG8+SZw4oSuI6FKQu0kLyUlRWvPqA0NDUVgYCDc3d3h4eGBiIgIZGdnIzg4GAAwbNgw2NvbIzw8HEDhzRp//PGH/OekpCRcuHABpqamaNy4sVZiIiIiqpBycipHguflBdSsqesoCComeRkZGTA3NwcACCFKvUO1qJ4qAgIC8PDhQ8ycORPJyclwdXXF/v375TdjJCYmQk/v32GD9+/fR9u2beXvFy9ejMWLF8Pb2xvx8fEqb5eIiKhSS0kBTEx0HYVyNWsCEomuoyComORZWlriwYMHsLGxQa1atSBR8ssTQkAikUAmk6kVQEhISImXZ19O3BwdHSGEUGv9REREVY6JScVN8qjCUCnJO3z4MGrXrg0AiIuLK9eAiIiIiKjsVEryvL295T87OTnBwcGhWG+eEILTkxARERFVEGrPk+fk5ISHDx8WK3/8+DGcnJy0EhQRERERlY3aSV7R2LuXZWVlQSqVaiUoIiIiIiobladQCQ0NBQBIJBLMmDEDNV+4PVomk+HUqVNwdXXVeoBEREREpD6Vk7zz588DKOzJ+/3332FoaCj/zNDQEC4uLpg0aZL2IyQiIiIitamc5BXdVRscHIzly5erNR8eEREREb1eaj/xYv369eURBxERERFpkdpJHgCcPXsW27ZtQ2JiIvLy8hQ+27Vrl1YCIyIiIiLNqX137datW9GpUydcvXoVu3fvxvPnz3HlyhUcPnwYFhYW5REjEREREalJ7SRv3rx5WLZsGf73v//B0NAQy5cvx7Vr1zBw4EA0aNCgPGIkIiIiIjWpneTdunULfn5+AArvqs3OzoZEIsHEiROxdu1arQdIREREROpTO8mztLREZmYmAMDe3h6XL18GAKSlpSEnJ0e70RERERGRRtS+8aJLly6IiYlB69atMWDAAIwfPx6HDx9GTEwMunfvXh4xEhEREZGa1E7yVqxYgWfPngEApk2bBgMDA5w4cQLvv/8+pk+frvUAiYiIiEh9aid5tWvXlv+sp6eHqVOnajUgIiIiIio7lZK8jIwMlVfIJ2EQERER6Z5KSV6tWrUgkUhKrSOEgEQigUwm00pgRERERKQ5lZK8oufWEhEREVHloFKS5+3tXd5xEBEREZEWqT1PHgAcPXoUQ4cORadOnZCUlAQA2LRpE44dO6bV4IiIiIhIM2oneTt37oSvry+MjY2RkJCA3NxcAEB6ejrmzZun9QCJiIiISH1qJ3lff/01IiMjsW7dOhgYGMjLvby8kJCQoNXgiIiIiEgzaid5169fR5cuXYqVW1hYIC0tTRsxEREREVEZqZ3k2dnZ4ebNm8XKjx07hkaNGmklKCIiIiIqG7WTvJEjR2L8+PE4deoUJBIJ7t+/jx9++AGTJk3C6NGjyyNGIiIiIlKT2o81mzp1KgoKCtC9e3fk5OSgS5cuMDIywqRJkzB27NjyiJGIiIiI1KR2kieRSDBt2jRMnjwZN2/eRFZWFlq0aAFTU1M8ffoUxsbG5REnEREREalBo3nyAMDQ0BAtWrSAh4cHDAwMsHTpUjg5OWkzNiIiIiLSkMpJXm5uLsLCwuDu7o5OnTphz549AID169fDyckJy5Ytw8SJE8srTiIiIiJSg8qXa2fOnIk1a9bAx8cHJ06cwIABAxAcHIzffvsNS5cuxYABA6Cvr1+esRIRERGRilRO8rZv346NGzfi3XffxeXLl9GmTRvk5+fj4sWLkEgk5RkjEREREalJ5cu19+7dg5ubGwCgVatWMDIywsSJE5ngEREREVVAKid5MpkMhoaG8vc1atSAqalpuQRFRERERGWj8uVaIQSCgoJgZGQEAHj27BlGjRoFExMThXq7du3SboREFYVMBhw9Cjx4ANStC3TuDHAcKhERVVAq9+QFBgbCxsYGFhYWsLCwwNChQ1GvXj35+6KXJlauXAlHR0dIpVJ4enri9OnTpdbfvn07mjVrBqlUitatW2Pv3r0abZdIZbt2AY6OQLduwODBhf86OhaWExERVUAq9+StX7++XAKIjo5GaGgoIiMj4enpiYiICPj6+uL69euwsbEpVv/EiRMYNGgQwsPD8c4772Dz5s3w9/dHQkICWrVqVS4xUjW3axfQvz8ghGJ5UlJh+Y4dQL9+uomNiIioBBIhXv7L9Xp5enqiffv2WLFiBQCgoKAADg4OGDt2LKZOnVqsfkBAALKzs/Hzzz/Lyzp06ABXV1dERka+cnsZGRmwsLBAeno6zM3NS6wnsrIgij5PTQVq1lRzz3QgJwcoSowrQ8yVIV6ZDGjRojChU0YiAeztgStXKual28rQxi96IV5JRgYkrxj3q+rxXB2wLaqB7Gyg6JjIygJeGi5FVYe2jme1H2umTXl5eTh37hzCwsLkZXp6evDx8cHJkyeVLnPy5EmEhoYqlPn6+sonZ35Zbm4ucnNz5e8zMjJUik08e4brTZoWvnmzs0rLVAiVLebKEK+J6b9xlqS9x+uJRROVoY1f9P/xNn327JVJHhERlUzjx5ppw6NHjyCTyWBra6tQbmtri+TkZKXLJCcnq1U/PDxcYcygg4ODasFV9B4PoqqOxyARUZnotCfvdQgLC1Po+cvIyFAp0ZMYG6NpwrnyDI0qg6NHgbfffnW9ffsK77YlrZEYG+s6BCKiSk2nSZ6VlRX09fWRkpKiUJ6SkgI7Ozuly9jZ2alV38jISD7tizokEgkk7EkgH5/CMXdJScVvvAAKx+TVr19YryKOySMiompLp5drDQ0N4ebmhtjYWHlZQUEBYmNj0bFjR6XLdOzYUaE+AMTExJRYn6hM9PWB5csLf3756S5F7yMimOAREVGFo9MkDwBCQ0Oxbt06REVF4erVqxg9ejSys7MRHBwMABg2bJjCjRnjx4/H/v37sWTJEly7dg2zZ8/G2bNnERISoqtdoKquX7/CaVLs7RXL69fn9ClERFRh6TzJCwgIwOLFizFz5ky4urriwoUL2L9/v/zmisTERDx48EBev1OnTti8eTPWrl0LFxcX7NixA3v27OEceVS++vUDbt8G4uKAzZsL//37byZ4VCJ1J3lPS0vDmDFjULduXRgZGaFJkyac6J2IykTn8+S9bunp6ahVqxbu3r3LuaSIKrmiG6nS0tI0fuJOeYiOjsawYcMUJnnfvn17iZO85+XlwcvLCzY2Nvjiiy9gb2+PO3fuoFatWnBxcVFpm5wnrxrgPHnVRpWYJ08XMjMzAUD1qVSIqMLLzMysUEne0qVLMXLkSPmwk8jISPzyyy/47rvvlE7y/t133+Hx48c4ceIEDAwMAACOjo6vM2QiqoKqXZJXr1493L17F2ZmZpC8PJC+Cijq2WBPZflg+5Y/ddpYCIHMzEzUq1fvNUX3appM8v7TTz+hY8eOGDNmDH788UdYW1tj8ODBmDJlCvRLuKlH04neiaj6qHZJnp6eHurXr6/rMMqdubk5k5ByxPYtf6q2cUXqwQNKn+T92rVrSpf566+/cPjwYQwZMgR79+7FzZs38emnn+L58+eYNWuW0mXCw8MxZ84crcdPRFWHzm+8ICKq7goKCmBjY4O1a9fCzc0NAQEBmDZtWqnP4w4LC0N6err8dffu3dcYMRFVBtWuJ4+IqDxpMsl73bp1YWBgoHBptnnz5khOTkZeXh4MDQ2LLaPpRO9EVH2wJ6+KMTIywqxZs3jyLyds3/JX2dtYk0nevby8cPPmTRQUFMjL/vzzT9StW1dpgkdEpIpqN4UKEVF5i46ORmBgINasWQMPDw9ERERg27ZtuHbtGmxtbTFs2DDY29sjPDwcAHD37l20bNkSgYGBGDt2LG7cuIGPPvoI48aNw7Rp01TaJqdQqQY4hUq1wSlUiIgqqICAADx8+BAzZ85EcnIyXF1di03yrqf374UUBwcHHDhwABMnTkSbNm1gb2+P8ePHY8qUKbraBSKqAtiTR0RUBbAnrxpgT161oa3jmWPyiIiIiKogJnlEREREVRCTvCogPDwc7du3h5mZGWxsbODv74/r16/rOqwqbf78+ZBIJJgwYYKuQ6lSkpKSMHToUNSpUwfGxsZo3bo1zp49q+uwiIgqJSZ5VcCRI0cwZswY/Pbbb4iJicHz58/Rs2dPZGdn6zq0KunMmTNYs2YN2rRpo+tQqpQnT57Ay8sLBgYG2LdvH/744w8sWbIElpaWug6NiKhS4t21VcD+/fsV3m/YsAE2NjY4d+4cunTpoqOoqqasrCwMGTIE69atw9dff63rcKqUBQsWwMHBAevXr5eXOTk56TAiqnaEAHJydB1Fyfgfd1ITk7wqKD09HQBQu3ZtHUdS9YwZMwZ+fn7w8fFhkqdlP/30E3x9fTFgwAAcOXIE9vb2+PTTTzFy5Ehdh0bVgRDAm28CJ07oOhIireHl2iqmoKAAEyZMgJeXF1q1aqXrcKqUrVu3IiEhQT6BLWnXX3/9hdWrV+ONN97AgQMHMHr0aIwbNw5RUVG6Do2qg5ycypPgeXkBNWvqOgqqBNiTV8WMGTMGly9fxrFjx3QdSpVy9+5djB8/HjExMZBKpboOp0oqKCiAu7s75s2bBwBo27YtLl++jMjISAQGBuo4OqpWUlIq9hx0NWsCEomuo6BKgEleFRISEoKff/4Zv/76K+rXr6/rcKqUc+fOITU1Fe3atZOXyWQy/Prrr1ixYgVyc3MVHi5P6qtbty5atGihUNa8eXPs3LlTRxFRtWViUrGTPCIVMcmrAoQQGDt2LHbv3o34+HgOVi8H3bt3x++//65QFhwcjGbNmmHKlClM8LTAy8ur2NQ/f/75Jxo2bKijiIiIKjcmeVXAmDFjsHnzZvz4448wMzNDcnIyAMDCwgLGxsY6jq5qMDMzKzbG0cTEBHXq1OHYRy2ZOHEiOnXqhHnz5mHgwIE4ffo01q5di7Vr1+o6NCKiSok3XlQBq1evRnp6Orp27Yq6devKX9HR0boOjUhl7du3x+7du7Flyxa0atUKX331FSIiIjBkyBBdh0ZEVClJhBBC10EQEVHZaOuB5tVWdjZgalr4c1YWx+SRTmnreGZPHhEREVEVxCSPiIiIqArijRdEVC3169dP5bq7du0qx0iIiMoHkzwiqpYsLCx0HQIRUblikkdE1dL69et1HQIRUbnimDwiIiKiKog9eURULbVr1w6xsbGwtLRE27ZtISnlWaAJCQmvMTIiIu1gkkdE1dJ7770HIyMjAIC/v79ugyEiKgecDJleafbs2dizZw8uXLgAV1dX+Pv7Y/bs2a9cLjk5GR9++CFOnDgBAwMDpKWlqbUtXYuPj0e3bt3w5MkT1KpVS+P1BAUFIS0tDXv27NFabEQv42TIZcTJkKkC4WTIpLbIyEiYmZkhPz9fXpaVlQUDAwN07dpVoW58fDwkEglu3bqFSZMmITY2FgAQGxuLSZMmqbS9ZcuW4cGDB7hw4QL+/PNPre1HZbN8+XJs2LBB12HQK6SlpeHbb79FWFgYHj9+DKDwMm1SUpKOIyMi0gwv11Yj3bp1Q1ZWFs6ePYsOHToAAI4ePQo7OzucOnUKz549g1QqBQDExcWhQYMGcHZ2BgCY/v//cOvUqfPK7eTl5cHQ0BC3bt2Cm5sb3njjjXLaI+WeP38OAwOD17rN0nCqjorv0qVL8PHxgYWFBW7fvo2RI0eidu3a2LVrFxITE7Fx40Zdh0hEpDb25FUjTZs2Rd26dREfHy8vi4+Px3vvvQcnJyf89ttvCuXdunVDUFBQsfFKEyZMUOj569q1K0JCQjBhwgRYWVnB19cXjo6O2LlzJzZu3AiJRIKgoCAAhb0lI0aMgLW1NczNzfHWW2/h4sWLpcb97bffonnz5pBKpWjWrBlWrVol/+z27duQSCSIjo6Gt7c3pFIpfvjhB+Tn52PcuHGoVasW6tSpgylTpiAwMFBhXwoKChAeHg4nJycYGxvDxcUFO3bsKLb948ePo02bNpBKpejQoQMuX74s/2zDhg2oVasWDhw4gObNm8PU1BS9evXCgwcP5HVebsMdO3agdevWMDY2Rp06deDj44Ps7Gx5u3t4eMDExAS1atWCl5cX7ty5I1/2xx9/RLt27SCVStGoUSPMmTNHoWeWNBMaGoqgoCDcuHFD/h8dAOjduzd+/fVXHUZGRKQ5JnnVTLdu3RAXFyd/HxcXh65du8Lb21te/vTpU5w6dQrdunVTeb1RUVEwNDTE8ePHERkZiTNnzqBXr14YOHAgHjx4gOXLlwMABgwYgNTUVOzbtw/nzp1Du3bt0L17d/nlsZf98MMPmDlzJubOnYurV69i3rx5mDFjBqKiohTqTZ06FePHj8fVq1fh6+uLBQsW4IcffsD69etx/PhxZGRkFBsTFx4ejo0bNyIyMhJXrlzBxIkTMXToUBw5ckSh3uTJk7FkyRKcOXMG1tbW6NOnD54/fy7/PCcnB4sXL8amTZvw66+/IjExscRL2g8ePMCgQYPw0Ucf4erVq4iPj0e/fv0ghEB+fj78/f3h7e2NS5cu4eTJk/j444/ld30ePXoUw4YNw/jx4/HHH39gzZo12LBhA+bOnavy74mUO3PmDD755JNi5fb29khOTtZBREREWiCoWlm3bp0wMTERz58/FxkZGaJGjRoiNTVVbN68WXTp0kUIIURsbKwAIO7cuSMCAwPFe++9p7CO8ePHC29vb/l7b29v0bZt22Lbeu+990RgYKD8/dGjR4W5ubl49uyZQj1nZ2exZs0aIYQQs2bNEi4uLgqfbd68WaH+V199JTp27CiEEOLvv/8WAERERIRCHVtbW7Fo0SL5+/z8fNGgQQP5vjx79kzUrFlTnDhxQmG54cOHi0GDBgkhhIiLixMAxNatW+Wf//PPP8LY2FhER0cLIYRYv369ACBu3rwpr7Ny5Upha2srf/9iG547d04AELdv3y7WXv/8848AIOLj44t9JoQQ3bt3F/PmzVMo27Rpk6hbt67S+qQ6a2trkZCQIIQQwtTUVNy6dUsIIcTBgwdF/fr1dRmaytLT0wUAkZ6erutQKqesLCGAwldWlq6joWpOW8czx+RVM127dkV2djbOnDmDJ0+eoEmTJrC2toa3tzeCg4Px7NkzxMfHo1GjRmjQoIHK63Vzc3tlnYsXLyIrK6vYuL6nT5/i1q1bxepnZ2fj1q1bGD58OEaOHCkvz8/PLzbOzd3dXf5zeno6UlJS4OHhIS/T19eHm5sbCgoKAAA3b95ETk4OevToobCevLw8tG3bVqGsY8eO8p9r166Npk2b4urVq/KymjVryscuAkDdunWRmpqqtA1cXFzQvXt3tG7dGr6+vujZsyf69+8PS0tL1K5dG0FBQfD19UWPHj3g4+ODgQMHom7duvL2O378uELPnUwmw7Nnz5CTk4OaNWsq3Sa92rvvvosvv/wS27ZtAwBIJBIkJiZiypQpeP/993UcHRGRZpjkVTONGzdG/fr1ERcXhydPnsDb2xsAUK9ePTg4OODEiROIi4vDW2+9BQDQ09ODeGmWnRcvVRYxUWG6gaysrGJjAosom6IkKysLALBu3Tp4enoqfKavr6/29pWt+5dffoG9vb3CZ0Vzp6nq5Zs8JBJJsTYroq+vj5iYGJw4cQIHDx7EN998g2nTpuHUqVNwcnLC+vXrMW7cOOzfvx/R0dGYPn06YmJi0KFDB2RlZWHOnDno169fsfW+OI6M1LdkyRL0798fNjY2ePr0Kby9vZGcnIyOHTvycjgRVVpM8qqhbt26IT4+Hk+ePMHkyZPl5V26dMG+fftw+vRpjB49GgBgbW2tcKMBAFy4cEGju1fbtWuH5ORk1KhRA46Ojq+sb2tri3r16uGvv/7CkCFDVN6OhYUFbG1tcebMGXTp0gVAYY9XQkICXF1dAQAtWrSAkZEREhMT5YluSX777Td5r+aTJ0/w559/onnz5irH8zKJRAIvLy94eXlh5syZaNiwIXbv3o3Q0FAAQNu2bdG2bVuEhYWhY8eO2Lx5Mzp06IB27drh+vXraNy4scbbJuUsLCwQExOD48ePy3uc27VrBx8fH12HRkSkMSZ51VC3bt0wZswYPH/+XCHB8fb2RkhICPLy8uQ3Xbz11ltYtGgRNm7ciI4dO+L777/H5cuXi13SVIWPjw86duwIf39/LFy4EE2aNMH9+/fxyy+/oG/fvgqXXIvMmTMH48aNg4WFBXr16oXc3FycPXsWT548kSdFyowdOxbh4eFo3LgxmjVrhm+++QZPnjyR38RgZmaGSZMmYeLEiSgoKMCbb76J9PR0HD9+HObm5ggMDJSv68svv0SdOnVga2uLadOmwcrKSuMnJJw6dQqxsbHo2bMnbGxscOrUKTx8+BDNmzfH33//jbVr1+Ldd99FvXr1cP36ddy4cQPDhg0DAMycORPvvPMOGjRogP79+0NPTw8XL17E5cuX8fXXX2sUDxXauHEjAgIC5Ml3kby8PGzdulX+OyAiqkx4d2011K1bNzx9+hSNGzeGra2tvNzb2xuZmZnyqVYAwNfXFzNmzMDnn3+O9u3bIzMzU+M/eBKJBHv37kWXLl0QHByMJk2a4IMPPsCdO3cU4njRiBEj8O2332L9+vVo3bo1vL29sWHDBjg5OZW6rSlTpmDQoEEYNmwYOnbsCFNTU/j6+ipc1vzqq68wY8YMhIeHo3nz5ujVqxd++eWXYuueP38+xo8fDzc3NyQnJ+N///sfDA0NNWoDc3Nz/Prrr+jduzeaNGmC6dOnY8mSJXj77bdRs2ZNXLt2De+//z6aNGmCjz/+GGPGjJHf9enr64uff/4ZBw8eRPv27dGhQwcsW7YMDRs21CgW+ldwcDDS09OLlWdmZiI4OFgHERERlR0fa0bVQkFBAZo3b46BAwfiq6++0nU4VMHo6ekhJSUF1tbWCuUXL15Et27dSpzipyLhY83KiI81owpEW8czL9dSlXTnzh0cPHgQ3t7eyM3NxYoVK/D3339j8ODBug6NKpC2bdtCIpFAIpGge/fuqFHj31OiTCbD33//jV69eukwQiIizTHJoypJT08PGzZswKRJkyCEQKtWrXDo0KEy3TBBVU/R2MoLFy7A19dX/vg+ADA0NISjoyOnUCGiSouXa4mo2ouKikJAQEClnoqGl2vLiJdrqQLh5VoiIi0pups6Ly8Pqamp8kmzi6gzMTgRUUXBJI+Iqr0bN27go48+wokTJxTKhRCQSCSQyWQ6ioyISHNM8oio2gsKCkKNGjXw888/o27duvL5FImIKjMmeURU7V24cAHnzp1Ds2bNdB0KEZHWcDJkIqr2WrRogUePHuk6DCIirWKSR0TV3oIFC/D5558jPj4e//zzDzIyMhReRESVES/XElG15+PjAwDo3r27QjlvvCCiyoxJHhFVe3FxcSV+9vvvv7/GSIiItIeTIRMRvSQzMxNbtmzBt99+i3PnzlWKnjxOhlxGnAyZKhBtHc8ck0dE9P9+/fVXBAYGom7duli8eDHeeust/Pbbb7oOi4hII7xcS0TVWnJyMjZs2ID//ve/yMjIwMCBA5Gbm4s9e/agRYsWug6PiEhj7MkjomqrT58+aNq0KS5duoSIiAjcv38f33zzja7DIiLSCvbkEVG1tW/fPowbNw6jR4/GG2+8oetwiIi0ij155Sw+Ph4SiQTx8fFaXa9EIsHs2bO1us7y8s4778DR0REAMHv2bEgkkjJNPJufn4/PP/8cDg4O0NPTg7+/P4CytYlEIkFISIjGMb2oaB+1adOmTWjWrBkMDAxQq1Ytra77RY6OjnjnnXc0Xr489r08HTt2DJmZmXBzc4OnpydWrFjBSZGJqMpgkveCDRs2QCKRyF81atSAvb09goKCkJSU9Nrj2bt3b4VL5EpLhora7+zZswrlkyZNQkREBACgX79+2LRpE8zMzDSO4bvvvsOiRYvQv39/REVFYeLEiRqv63WZN28e9uzZo9Gy165dQ1BQEJydnbFu3TqsXbtWu8GpKScnB7Nnz9b6f1x0oUOHDli3bh0ePHiATz75BFu3bkW9evVQUFCAmJgYZGZm6jpEIiLNCZJbv369ACC+/PJLsWnTJrFu3ToxfPhwoa+vL5ydncXTp0/VXmdcXJwAIOLi4tRedsyYMaKkX9HTp0/F8+fP1V5nWQEQY8aMUfpZUfudOXOmXGMICAgQ9vb2xcrL0ial7Ze6nj9/Xuy7YmJiIgIDAzVa3+rVqwUAcePGDS1EV7qGDRsKPz+/Uus8fPhQABCzZs0q9pmyfa9srl27JiZPnizs7OyEVCoVffr00XVIKklPTxcARHp6uq5DqZyysoQACl9ZWbqOhqo5bR3P7MlT4u2338bQoUMxYsQIfPvtt5g0aRJu3bqFn376SdehyUmlUtSoUT2HVKampiq9ZFlR2qRGjRqQSqVaW19qaioAlOtlWm3R9r7rQtOmTbFw4ULcu3cPW7Zs0XU4REQaY5Kngs6dOwMAbt26pVB+7do19O/fH7Vr14ZUKoW7u7tKieDRo0cxYMAANGjQAEZGRnBwcMDEiRPx9OlTeZ2goCCsXLkSABQuIRd5cfzZjh07IJFIcOTIkWLbWrNmDSQSCS5fvlzmuDVx6dIlBAUFoVGjRpBKpbC1tUVwcHCxcU9BQUHycXsvenGM1+3btyGRSBAXF4crV67I26TosqGyMXnx8fFwd3eHVCqFs7Mz1qxZo/K4sa+//hp6enoKd1vu27cPnTt3homJCczMzODn54crV66UGHNRXNnZ2YiKipLHHBQUBKBw0t0JEybA0dERRkZGsLGxQY8ePZCQkACgcIzcrFmzAADW1tYK+1jSGERHR0f5+oF/L6MfP34coaGhsLa2homJCfr27YuHDx++sh2ioqJQo0YNTJ48Gbdv34a1tTUAYM6cOfL9KYpDWdvm5+fjq6++grOzM4yMjODo6IgvvvgCubm5xeJ+5513cOzYMXh4eEAqlaJRo0bYuHHjK2MsD/r6+vD3969Q/7kjIlKH7rs9KoHbt28DACwtLeVlV65cgZeXF+zt7TF16lSYmJhg27Zt8Pf3x86dO9G3b98S17d9+3bk5ORg9OjRqFOnDk6fPo1vvvkG9+7dw/bt2wEAn3zyCe7fv4+YmBhs2rSp1Pj8/PxgamqKbdu2wdvbW+Gz6OhotGzZEq1atSpz3EWePXumdHB6VlZWsbKYmBjcunULwcHBsLOzw5UrV7B27Vr88ccf+O2339QapG9tbY1NmzZh7ty5yMrKQnh4OACgefPmSuufP38evXr1Qt26dTFnzhzIZDJ8+eWX8iSlNNOnT8e8efOwZs0ajBw5EkDhzQ+BgYHw9fXFggULkJOTg9WrV+PNN9/E+fPnlSapRcuNGDECHh4e+PjjjwEAzs7OAIBRo0Zhx44dCAkJQYsWLfDPP//g2LFjuHr1Ktq1a4eIiAhs3LgRu3fvxurVq2Fqaoo2bdqo3GYvGjt2LCwtLTFr1izcvn0bERERCAkJQXR0dInLrF27FqNGjcIXX3yBr7/+GtnZ2Vi9ejVGjx6Nvn37ol+/fgBQakwjRoxAVFQU+vfvj88++wynTp1CeHg4rl69it27dyvUvXnzJvr374/hw4cjMDAQ3333HYKCguDm5oaWLVtqtN9ERNWWli4fVwlFY8oOHTokHj58KO7evSt27NghrK2thZGRkbh79668bvfu3UXr1q3Fs2fP5GUFBQWiU6dO4o033pCXKRuTl5OTU2zb4eHhQiKRiDt37sjLShuTh5fGRA0aNEjY2NiI/Px8edmDBw+Enp6e+PLLL9WOuyQAXvl6cUxednZ2sXVs2bJFABC//vqrvCwwMFA0bNiwWN1Zs2YVawNvb2/RsmVLpbG92CZ9+vQRNWvWFElJSfKyGzduiBo1ahRbJ14Yk/fZZ58JPT09sWHDBvnnmZmZolatWmLkyJEKyyUnJwsLCwuFcmUxlzQmz8LC4pVjAYvW9/Dhw1L3t0jDhg0VtlX0vfbx8REFBQXy8okTJwp9fX2RlpamsGzRmLzly5cLiUQivvrqK4X1lzYm7+V9v3DhggAgRowYoVBv0qRJAoA4fPiwwrZf/l6kpqYKIyMj8dlnnylpGXoRx+SVEcfkUQXCMXnlyMfHB9bW1nBwcED//v1hYmKCn376CfXr1wcAPH78GIcPH8bAgQORmZmJR48e4dGjR/jnn3/g6+uLGzdulHo3rrGxsfzn7OxsPHr0CJ06dYIQAufPn9co5oCAAKSmpirc8bhjxw4UFBQgICBAK3EXee+99xATE1PsNXny5GJ1a9asKf+5qAewQ4cOACC/JFkeZDIZDh06BH9/f9SrV09e3rhxY7z99ttKlxFCICQkBMuXL8f333+PwMBA+WcxMTFIS0vDoEGD5O326NEj6Ovrw9PTs9QH3JemVq1aOHXqFO7fv6/R8ur4+OOPFXpOO3fuDJlMhjt37hSru3DhQowfPx4LFizA9OnTNd7m3r17AQChoaEK5Z999hkA4JdfflEob9GihXx4BFDYe9u0aVP89ddfGsdARFRd8XKtEitXrkSTJk2Qnp6O7777Dr/++iuMjIzkn9+8eRNCCMyYMQMzZsxQuo7U1FTY29sr/SwxMREzZ87ETz/9hCdPnih8lp6erlHMvXr1goWFBaKjo9G9e3cAhZdqXV1d0aRJE63EXaR+/frw8fEpVn7v3r1iZY8fP8acOXOwdetW+Q0ERTTdV1Wkpqbi6dOnaNy4cbHPlJUBwMaNG5GVlYXVq1dj0KBBCp/duHEDAPDWW28pXVbTB0gvXLgQgYGBcHBwgJubG3r37o1hw4ahUaNGGq2vNA0aNFB4XzT84OXv4JEjR/DLL79gypQpShN3ddy5cwd6enrF2tzOzg61atUqlmC+HGNRnC/HSEREr8YkTwkPDw+4u7sDAPz9/fHmm29i8ODBuH79OkxNTVFQUACgcP43X19fpesoKZGQyWTo0aMHHj9+jClTpqBZs2YwMTFBUlISgoKC5OtWl5GREfz9/bF7926sWrUKKSkpOH78OObNmyevU5a4NTVw4ECcOHECkydPhqurq7z9evXqpbCvJY3Nk8lkWo2nNF5eXrhw4QJWrFiBgQMHonbt2vLPimLdtGkT7Ozsii2r6V29AwcOROfOnbF7924cPHgQixYtwoIFC7Br164SexxfpaQ209fXV1ouhFB437JlS6SlpWHTpk345JNP4OTkpFEcL1J17KWqMRIR0asxyXsFfX19hIeHo1u3blixYgWmTp0q72UxMDBQ2qNVmt9//x1//vknoqKiMGzYMHl5TExMsbrqPjkgICAAUVFRiI2NxdWrVyGEkF+qBVCmuDXx5MkTxMbGYs6cOZg5c6a8vKhX7EWWlpZIS0srVq7sUqIqbGxsIJVKcfPmzWKfKSsDChPchQsXomvXrujVqxdiY2PlkzYX3ShhY2OjUduV9rusW7cuPv30U3z66adITU1Fu3btMHfu3FcmecraLC8vDw8ePFA7vhdZWVlhx44dePPNN9G9e3ccO3ZM4ZK3Ot/Lhg0boqCgADdu3FC4QSYlJQVpaWlo2LBhmWIlIqKScUyeCrp27QoPDw9ERETg2bNnsLGxQdeuXbFmzRqlf1BLm5aiqKfixZ4JIQSWL19erK6JiQkAKE1+lPHx8UHt2rURHR2N6OhoeHh4KPTClCVuTSjbVwDyp1+8yNnZGenp6bh06ZK87MGDB8XuvlRn2z4+PtizZ4/CeLebN29i3759JS7Xpk0b7N27F1evXkWfPn3k09r4+vrC3Nwc8+bNw/Pnz4st96q2MzExKfZ7lMlkxS5Z29jYoF69esWmF1HG2dkZv/76q0LZ2rVrtdL7Wb9+fRw6dAhPnz5Fjx498M8//8g/Kxpnqcr3snfv3gCK/86XLl0KoPDOcCIiKh/syVPR5MmTMWDAAGzYsAGjRo3CypUr8eabb6J169YYOXIkGjVqhJSUFJw8eRL37t3DxYsXla6nWbNmcHZ2xqRJk5CUlARzc3Ps3LlT6ZgjNzc3AMC4cePg6+sLfX19fPDBByXGaGBggH79+mHr1q3Izs7G4sWLi9XRNG5NmJubo0uXLli4cCGeP38Oe3t7HDx4EH///Xexuh988AGmTJmCvn37Yty4cfLpSZo0aaLxDRqzZ8/GwYMH4eXlhdGjR0Mmk2HFihVo1aoVLly4UOJyHTp0wI8//ojevXujf//+2LNnD8zNzbF69Wp8+OGHaNeuHT744ANYW1sjMTERv/zyC7y8vLBixYoS1+nm5oZDhw5h6dKlqFevHpycnNC0aVPUr18f/fv3h4uLC0xNTXHo0CGcOXMGS5YseeX+jRgxAqNGjcL777+PHj164OLFizhw4ACsrKw0aa5iGjdujIMHD6Jr167w9fXF4cOHYW5uDmNjY7Ro0QLR0dFo0qQJateujVatWsmn6XmRi4sLAgMDsXbtWqSlpcHb2xunT59GVFQU/P390a1bN63ESkRESpTp3twqprTHcslkMuHs7CycnZ3l05TcunVLDBs2TNjZ2QkDAwNhb28v3nnnHbFjxw75csqmUPnjjz+Ej4+PMDU1FVZWVmLkyJHi4sWLAoBYv369vF5+fr4YO3assLa2FhKJRGFqCpQwhUVMTIwAICQSicKULy9SJe6SQM3Hmt27d0/07dtX1KpVS1hYWIgBAwaI+/fvK43/4MGDolWrVsLQ0FA0bdpUfP/992WaQkUIIWJjY0Xbtm2FoaGhcHZ2Ft9++6347LPPhFQqfeV+/fjjj6JGjRoiICBAyGQyIUTh79PX11dYWFgIqVQqnJ2dRVBQkDh79qx8OWUxX7t2TXTp0kUYGxsLACIwMFDk5uaKyZMnCxcXF2FmZiZMTEyEi4uLWLVqlcKyJU2hIpPJxJQpU4SVlZWoWbOm8PX1FTdv3ixxCpWXv9fKvpvKHmt26tQpYWZmJrp06SKf/ufEiRPCzc1NGBoaKrS7sn1//vy5mDNnjnBychIGBgbCwcFBhIWFKUzjU9K2hSj8fXt7excrJ0WcQqWMOIUKVSDaOp4lQnBEM1Uv/v7+uHLlitKxgUSVVUZGBiwsLJCenq7x3d7VWnY2YGpa+HNWFvD/w2WIdEFbxzPH5FGV9uKj4oDCmz727t2Lrl276iYgIiKi14RJHlVpjRo1QlhYGNatW4fp06ejQ4cOMDQ0xOeff67r0KiKW7lyJRwdHSGVSuHp6YnTp0+rtNzWrVshkUjg7+9fvgESUZXHGy+oSuvVqxe2bNmC5ORkGBkZoWPHjpg3bx7eeOMNXYdGVVh0dDRCQ0MRGRkJT09PREREwNfXF9evX4eNjU2Jy92+fRuTJk1SeOoHEZGmOCaPiEjLPD090b59e/kd1wUFBXBwcMDYsWMxdepUpcvIZDJ06dIFH330EY4ePYq0tDTs2bNH5W1yTF4ZcUweVSAck0dEVAHl5eXh3LlzCpNm6+npwcfHBydPnixxuS+//BI2NjYYPnz46wiTiKoBXq4lItKiR48eQSaTwdbWVqHc1tYW165dU7rMsWPH8N///rfU+RtflpubqzBpdkZGhkbxElHVxZ48IiIdyszMxIcffoh169apNZF1eHg4LCws5C8HB4dyjJKIKqNq15NXUFCA+/fvw8zMTO1nwxJRxSKEQGZmJurVqwc9vYrxf1YrKyvo6+sjJSVFoTwlJQV2dnbF6t+6dQu3b99Gnz595GUFBQUAgBo1auD69evyZye/KCwsDKGhofL3GRkZTPSISEG1S/Lu37/PEyFRFXP37l3Ur19f12EAAAwNDeHm5obY2Fj5NCgFBQWIjY1FSEhIsfrNmjXD77//rlA2ffp0ZGZmYvny5SWer4yMjGBkZKT1+Imo6qh2SZ6ZmRmAwj8KvAONqHIr6r0qOq4ritDQUAQGBsLd3R0eHh6IiIhAdnY2goODAQDDhg2Dvb09wsPDIZVKiz33t1atWgCg9HnARESqqnZJXtElWnNzcyZ5RFVERRt6ERAQgIcPH2LmzJlITk6Gq6sr9u/fL78ZIzExscJcXiaiqqtCnGXUmRl+165dcHd3R61atWBiYgJXV1ds2rTpNUZLRPRqISEhuHPnDnJzc3Hq1Cl4enrKP4uPj8eGDRtKXHbDhg1qzZFHRKSMzpO8opnhZ82ahYSEBLi4uMDX1xepqalK69euXRvTpk3DyZMncenSJQQHByM4OBgHDhx4zZETERERVVw6f+KFJjPDv6xdu3bw8/PDV1999cq6nBWeqOrg8fwvtkUZ8YkXVIFUiSdeaDozfBEhBGJjY3H9+nV06dJFaZ3c3FxkZGQovIiIiIiqOp0meaXNDJ+cnFzicunp6TA1NYWhoSH8/PzwzTffoEePHkrrcsJQqnIkkrK9iIioWtD5mDxNmJmZ4cKFCzhz5gzmzp2L0NBQxMfHK60bFhaG9PR0+evu3buvN1giIiIiHdDpFCrqzgxfRE9PD40bNwYAuLq64urVqwgPD0fXrl2L1eWEoURERFQd6bQn78WZ4YsUzQzfsWNHlddTUFCg8KBuIiIioupO7Z68xMREODg4FJt8VAiBu3fvokGDBmqtT52Z4YHCMXbu7u5wdnZGbm4u9u7di02bNmH16tXq7goRERFRlaV2kufk5IQHDx7AxsZGofzx48dwcnKCTCZTa33qzgyfnZ2NTz/9FPfu3YOxsTGaNWuG77//HgEBAeruChEREVGVpfY8eXp6ekhJSYG1tbVC+Z07d9CiRQtkZ2drNUBt41xSVOmV9Q5Z3U6NqVU8nv/FtigjzpNHFYi2jmeVe/JCQ0MBFD4jcsaMGahZs6b8M5lMhlOnTsHV1VXjQIiIiIhIe1RO8s6fPw+gcOzd77//DkNDQ/lnhoaGcHFxwaRJk7QfIRERERGpTeUkLy4uDgAQHByM5cuX83IAERERUQWm9o0X69evL484iIiIiEiLVEry+vXrhw0bNsDc3Bz9+vUrte6uXbu0EhgRERERaU6lJM/CwkI+L56FhUW5BkREREREZadSkvfiJVperiUiIiKq+DR6rFl+fj4OHTqENWvWIDMzEwBw//59ZGVlaTU4IiIiItKM2jde3LlzB7169UJiYiJyc3PRo0cPmJmZYcGCBcjNzUVkZGR5xElEREREalC7J2/8+PFwd3fHkydPYGxsLC/v27cvYmNjtRocEREREWlG7Z68o0eP4sSJEwqTIQOAo6MjkpKStBYYEREREWlO7Z68goICyGSyYuX37t2DmZmZVoIiIiIiorJRO8nr2bMnIiIi5O8lEgmysrIwa9Ys9O7dW5uxEREREZGG1L5cu2TJEvj6+qJFixZ49uwZBg8ejBs3bsDKygpbtmwpjxiJiIiISE1qJ3n169fHxYsXER0djYsXLyIrKwvDhw/HkCFDFG7EICIiIiLdUTvJ27JlCwYNGoQhQ4ZgyJAhCp9NnjwZixYt0lpwRERERKQZtcfkjR49Gvv27StWPnHiRHz//fdaCYqIiIiIykbtJO+HH37AoEGDcOzYMXnZ2LFjsW3bNsTFxWk1OCIiIiLSjNpJnp+fH1atWoV3330X586dw6effopdu3YhLi4OzZo1K48YiYiIiEhNao/JA4DBgwcjLS0NXl5esLa2xpEjR9C4cWNtx0ZEREREGlIpyQsNDVVabm1tjXbt2mHVqlXysqVLl2onMiIiqjqEAHJydB1FybKzdR0BkdaplOSdP39eaXnjxo2RkZEh/1wikWgvMiIiqhqEAN58EzhxQteREFUrKiV5vKGCiIg0lpNTeRI8Ly+gZk1dR0GkFRqNySMiItJISgpgYqLrKEpWsybAq1JURaid5PXt21fpZVmJRAKpVIrGjRtj8ODBaNq0qVYCJCKiKsTEpGIneURViNpTqFhYWODw4cNISEiARCKBRCLB+fPncfjwYeTn5yM6OhouLi44fvx4ecRLRERERCpQuyfPzs4OgwcPxooVK6CnV5gjFhQUYPz48TAzM8PWrVsxatQoTJkyRWHCZCIiIiJ6fdTuyfvvf/+LCRMmyBM8ANDT08PYsWOxdu1aSCQShISE4PLly1oNlIiIiIhUp3aSl5+fj2vXrhUrv3btGmQyGQBAKpVyOhUiIiIiHVL7cu2HH36I4cOH44svvkD79u0BAGfOnMG8efMwbNgwAMCRI0fQsmVL7UZKRERERCpTO8lbtmwZbG1tsXDhQqSkpAAAbG1tMXHiREyZMgUA0LNnT/Tq1Uu7kRIRERGRyiRCCKHpwhkZGQAAc3NzrQVU3jIyMmBhYYH09PRKFTeRXFmHQmh+yFc4PJ7/VaHbIjsbMDUt/Dkri1OoEL2Cto7nMk2GXOFOJEREREQEQMUkr127doiNjYWlpSXatm1b6k0VCQkJWguOiIiIiDSjUpL33nvvwcjICADg7+9fnvEQERERkRaolORZWlrK58ULDg5G/fr1FebJIyIiIqKKRaVMLTQ0VH6ThZOTEx49elSuQRERERFR2aiU5NWrVw87d+7EnTt3IITAvXv3kJiYqPSliZUrV8LR0RFSqRSenp44ffp0iXXXrVuHzp07w9LSEpaWlvDx8Sm1PhEREVF1pFKSN336dEyYMAGNGjWCRCJB+/bt4eTkpPBydHSEk5OT2gFER0cjNDQUs2bNQkJCAlxcXODr64vU1FSl9ePj4zFo0CDExcXh5MmTcHBwQM+ePZGUlKT2tomIiIiqKpXnycvMzMSdO3fQpk0bHDp0CHXq1FFaz8XFRa0APD090b59e6xYsQIAUFBQAAcHB4wdOxZTp0595fIymQyWlpZYsWKF/IkbpanQc0kRqYLz5MnxeP5XhW4LzpNHpJbXPk+emZkZWrVqhfXr18PLy0t+t21Z5OXl4dy5cwgLC5OX6enpwcfHBydPnlRpHTk5OXj+/Dlq166t9PPc3Fzk5ubK3xeNLSQiIiKqytS+RTYwMFArCR4APHr0CDKZDLa2tgrltra2SE5OVmkdU6ZMQb169eDj46P08/DwcFhYWMhfDg4O6gUpkZT9RYXYjkRERK+N2kmenp4e9PX1S3y9TvPnz8fWrVuxe/duSKVSpXXCwsKQnp4uf929e/e1xkhERESkC2o/1mzXrl0KT7x4/vw5zp8/j6ioKMyZM0etdVlZWUFfXx8pKSkK5SkpKbCzsyt12cWLF2P+/Pk4dOgQ2rRpU2I9IyMjrfU8EhEREVUWaid5yp540b9/f7Rs2RLR0dEYPny4yusyNDSEm5sbYmNj5estKChAbGwsQkJCSlxu4cKFmDt3Lg4cOAB3d3d1d4GIiIioytPaYys6dOiA2NhYtZcLDQ3FunXrEBUVhatXr2L06NHIzs5GcHAwAGDYsGEKN2YsWLAAM2bMwHfffQdHR0ckJycjOTkZWVlZ2toVIiIiokpP7Z48ZZ4+fYr//Oc/sLe3V3vZgIAAPHz4EDNnzkRycjJcXV2xf/9++c0YiYmJCo9QW716NfLy8tC/f3+F9cyaNQuzZ88u034QERERVRVqJ3mWlpYKY/KEEMjMzETNmjXx/fffaxRESEhIiZdn4+PjFd7fvn1bo20QERERVSdqJ3kREREK7/X09GBtbQ1PT09YWlpqKy4iIiIiKgO1k7zAwMDyiIOIiIiItEjjMXk5OTlITExEXl6eQnlp05kQERER0euhdpL38OFDBAUFYf/+/Uo/l8lkZQ6KiIiIiMpGpSlUateujUePHgEAJk6ciPT0dJw6dQrGxsbYv38/oqKi8MYbb+Cnn34q12CJiIiISDUq9eQtW7YMZmZmAIDY2Fjs2bMH7u7u0NPTQ8OGDdGjRw+Ym5sjPDwcfn5+5RowEREREb2aSj15Tk5O8ufSZmVlyeews7S0xMOHDwEArVu3RkJCQjmFSURERETqUCnJ69q1Kx4/fgwAaNq0KW7cuAEAcHFxwZo1a5CUlITIyEjUrVu3/CIlIiIiIpWplOQ9efIENjY2AAonLr5z5w6AwqdM7Nu3Dw0aNMB//vMfzJs3r/wiJSKqRFauXAlHR0dIpVJ4enri9OnTJdZdt24dOnfuDEtLS1haWsLHx6fU+kREqlBpTJ6FhYX856CgIPnPbm5uuHPnDq5du4YGDRrAyspK6wESEVU20dHRCA0NRWRkJDw9PREREQFfX19cv35d/h/mF8XHx2PQoEHo1KkTpFIpFixYgJ49e+LKlSsaPS6SiAgAJEIIoesgXqeMjAxYWFggPT0d5ubmr17ghUe4aax6NXHJytqWbMdCbEc5tY/n18TT0xPt27fHihUrAAAFBQVwcHDA2LFjMXXq1FcuL5PJYGlpiRUrVmDYsGEqbbOitgUAIDsbMDUt/DkrCzAx0W08RBWcto5nlefJCw0NVane0qVLNQ6GiKiyy8vLw7lz5xAWFiYv09PTg4+PD06ePKnSOnJycvD8+XPUrl27vMIkompA5STv/PnzCu+PHTsGNzc3GBsby8sk2uj1IiKqxB49egSZTCafhaCIra0trl27ptI6pkyZgnr16sHHx6fEOrm5ucjNzZW/z8jI0CxgIqqyVE7y4uLiFN6bmZlh8+bNaNSokdaDIiKqrubPn4+tW7ciPj4eUqm0xHrh4eGYM2fOa4yMiCoble6uJSIi1VhZWUFfXx8pKSkK5SkpKbCzsyt12cWLF2P+/Pk4ePDgK58DHhYWhvT0dPnr7t27ZY6diKoWJnlERFpkaGgINzc3xMbGyssKCgoQGxuLjh07lrjcwoUL8dVXX2H//v1wd3d/5XaMjIxgbm6u8CIiepHKl2uJiEg1oaGhCAwMhLu7Ozw8PBAREYHs7GwEBwcDAIYNGwZ7e3uEh4cDABYsWICZM2di8+bNcHR0RHJyMgDA1NQUpkV3pRIRqUnlJO/SpUsK74UQuHbtGrKyshTKX3WJgcoBp3mhiqaaT/MSEBCAhw8fYubMmUhOToarqyv2798vvxkjMTERenr/XkhZvXo18vLy0L9/f4X1zJo1C7Nnz36doRNRFaLyPHl6enqQSCRQVr2oXCKRQCaTaT1IbaqS8+RVhhiBav+HX2sqQzu+phgr9Nxwr1mFbgvOk0ekltc+T97ff/+t8UaIiIiI6PVSOclr2LBhecZBRERERFrEu2uJiIiIqiAmeURERERVEJM8IiIioiqISR4RERFRFaRRkpefn49Dhw5hzZo1yMzMBADcv3+/2Jx5RERERKQbaj/x4s6dO+jVqxcSExORm5uLHj16wMzMDAsWLEBubi4iIyPLI04iIiIiUoPaPXnjx4+Hu7s7njx5AmNjY3l53759FZ7VSERERES6o3ZP3tGjR3HixAkYGhoqlDs6OiIpKUlrgRERERGR5tTuySsoKFD66LJ79+7BzMxMK0ERERERUdmoneT17NkTERER8vcSiQRZWVmYNWsWevfurc3YiIiIiEhDal+uXbJkCXx9fdGiRQs8e/YMgwcPxo0bN2BlZYUtW7aUR4xEREREpCa1k7z69evj4sWL2Lp1Ky5duoSsrCwMHz4cQ4YMUbgRg4iIiIh0R+0k79mzZ5BKpRg6dGh5xENEREREWqD2mDwbGxsEBgYiJiYGBQUF5RETEREREZWR2kleVFQUcnJy8N5778He3h4TJkzA2bNnyyM2IiIiItKQ2kle3759sX37dqSkpGDevHn4448/0KFDBzRp0gRffvllecRIRERERGrS6Nm1AGBmZobg4GAcPHgQly5dgomJCebMmaP2elauXAlHR0dIpVJ4enri9OnTJda9cuUK3n//fTg6OkIikShM5UJERERE/9I4yXv27Bm2bdsGf39/tGvXDo8fP8bkyZPVWkd0dDRCQ0Mxa9YsJCQkwMXFBb6+vkhNTVVaPycnB40aNcL8+fNhZ2enaehEREREVZ7aSd6BAwcQGBgIW1tbjB49Gra2tjh48CDu3LmD+fPnq7WupUuXYuTIkQgODkaLFi0QGRmJmjVr4rvvvlNav3379li0aBE++OADGBkZqRs6ERERUbWh0Zi8p0+fYuPGjUhOTsaaNWvQpUsXtTecl5eHc+fOwcfH599g9PTg4+ODkydPqr0+IiIiIvqX2vPkpaSkaOUZtY8ePYJMJoOtra1Cua2tLa5du1bm9RfJzc1Fbm6u/H1GRobW1k1ERERUUamU5GVkZMDc3BwAIIQoNVEqqldRhIeHa3RDCBEREVFlplKSZ2lpiQcPHsDGxga1atWCRCIpVkcIAYlEAplMptKGraysoK+vj5SUFIXylJQUrd5UERYWhtDQUPn7jIwMODg4aG39RERERBWRSkne4cOHUbt2bQBAXFycVjZsaGgINzc3xMbGwt/fHwBQUFCA2NhYhISEaGUbAGBkZMSbNIiIiKjaUSnJ8/b2lv/s5OQEBweHYr15QgjcvXtXrY2HhoYiMDAQ7u7u8PDwQEREBLKzsxEcHAwAGDZsGOzt7REeHg6g8GaNP/74Q/5zUlISLly4AFNTUzRu3FitbRMRERFVZWrfeOHk5CS/dPuix48fw8nJSeXLtQAQEBCAhw8fYubMmUhOToarqyv2798vvxkjMTERenr/3gB8//59tG3bVv5+8eLFWLx4Mby9vREfH6/urhARERFVWWoneUVj716WlZUFqVSqdgAhISElXp59OXFzdHSEEELtbRARERFVNyoneUU3L0gkEsyYMQM1a9aUfyaTyXDq1Cm4urpqPUAiIiIiUp/KSd758+cBFPbk/f777zA0NJR/ZmhoCBcXF0yaNEn7ERIRERGR2lRO8oruqg0ODsby5csr3Hx4RERERPQvtcfkrV+/vjziICIiIiItUjvJA4CzZ89i27ZtSExMRF5ensJnu3bt0kpgRERERKQ5vVdXUbR161Z06tQJV69exe7du/H8+XNcuXIFhw8fhoWFRXnESERERERqUjvJmzdvHpYtW4b//e9/MDQ0xPLly3Ht2jUMHDgQDRo0KI8YiYiIiEhNaid5t27dgp+fH4DCu2qzs7MhkUgwceJErF27VusBEhEREZH61E7yLC0tkZmZCQCwt7fH5cuXAQBpaWnIycnRbnREREREpBG1b7zo0qULYmJi0Lp1awwYMADjx4/H4cOHERMTg+7du5dHjERERESkJrWTvBUrVuDZs2cAgGnTpsHAwAAnTpzA+++/j+nTp2s9QCIiIiJSn9pJXu3ateU/6+npYerUqVoNiIiIiIjKTqUkLyMjQ+UV8kkYRERERLqnUpJXq1YtSCSSUusIISCRSCCTybQSGBERERFpTqUkr+i5tURERERUOaiU5Hl7e5d3HERERESkRWrPkwcAR48exdChQ9GpUyckJSUBADZt2oRjx45pNTgiIiIi0ozaSd7OnTvh6+sLY2NjJCQkIDc3FwCQnp6OefPmaT1AIiIiIlKf2kne119/jcjISKxbtw4GBgbyci8vLyQkJGg1OCIiIiLSjNpJ3vXr19GlS5di5RYWFkhLS9NGTERERERURmoneXZ2drh582ax8mPHjqFRo0ZaCYqIiIiIykbtJG/kyJEYP348Tp06BYlEgvv37+OHH37ApEmTMHr06PKIkYiIiIjUpPZjzaZOnYqCggJ0794dOTk56NKlC4yMjDBp0iSMHTu2PGIkIiIiIjWpneRJJBJMmzYNkydPxs2bN5GVlYUWLVrA1NQUT58+hbGxcXnESURERERq0GiePAAwNDREixYt4OHhAQMDAyxduhROTk7ajI2IiIiINKRykpebm4uwsDC4u7ujU6dO2LNnDwBg/fr1cHJywrJlyzBx4sTyipOIiIiI1KDy5dqZM2dizZo18PHxwYkTJzBgwAAEBwfjt99+w9KlSzFgwADo6+uXZ6xEREREpCKVk7zt27dj48aNePfdd3H58mW0adMG+fn5uHjxIiQSSXnGSERERERqUvly7b179+Dm5gYAaNWqFYyMjDBx4kQmeEREREQVkMpJnkwmg6Ghofx9jRo1YGpqWi5BEREREVHZqHy5VgiBoKAgGBkZAQCePXuGUaNGwcTERKHerl27tBshEREREalN5SQvMDBQ4f3QoUO1HgwRERERaYfKSd769evLMw4iIiIi0iKNJ0MmIiIiooqLSR4RERFRFcQkj4iIiKgKYpJHREREVAVViCRv5cqVcHR0hFQqhaenJ06fPl1q/e3bt6NZs2aQSqVo3bo19u7d+5oiJSJSDc9rRKRrOk/yoqOjERoailmzZiEhIQEuLi7w9fVFamqq0vonTpzAoEGDMHz4cJw/fx7+/v7w9/fH5cuXX3PkRETK8bxGRBWBRAghdBmAp6cn2rdvjxUrVgAACgoK4ODggLFjx2Lq1KnF6gcEBCA7Oxs///yzvKxDhw5wdXVFZGTkK7eXkZEBCwsLpKenw9zc/NUBauOxbeXdxJUhRqDscer2q1pxVIZ2fE0xqn08vyav+7wGVNy2AABkZwNFT0jKygJemkSfiBRp63hWeZ688pCXl4dz584hLCxMXqanpwcfHx+cPHlS6TInT55EaGioQpmvry/27NlTnqESEalE5+e17GxAX1/95cpTdrauIyCqlnSa5D169AgymQy2trYK5ba2trh27ZrSZZKTk5XWT05OVlo/NzcXubm58vfp6ekACrPk1+Z1bktTjLH6qAztqGKMRcexji9IKHgd5zWglHNbvXqahv56ZGQAMpmuoyCq0LR1btNpkvc6hIeHY86cOcXKHRwcXl8QFhavb1uaYozVR2VoRzVjzMzMhEVl2C8tKvHcpoNY1FLRk1CiCuSff/4p07lNp0melZUV9PX1kZKSolCekpICOzs7pcvY2dmpVT8sLEzhMkhBQQEeP36MOnXqQKKNsWyVQEZGBhwcHHD37t2KN1anEmE7aoc221EIgczMTNSrQInD6zivAcXPbWlpaWjYsCESExOrXcKrLTzGy45tqB3p6elo0KABateuXab16DTJMzQ0hJubG2JjY+Hv7w+gMAmLjY1FSEiI0mU6duyI2NhYTJgwQV4WExODjh07Kq1vZGQEIyMjhbJatWppI/xKx9zcnAedFrAdtUNb7VjREprXcV4DlJ/bgML24PezbHiMlx3bUDv09Mo2CYrOL9eGhoYiMDAQ7u7u8PDwQEREBLKzsxEcHAwAGDZsGOzt7REeHg4AGD9+PLy9vbFkyRL4+flh69atOHv2LNauXavL3SAikuN5jYgqAp0neQEBAXj48CFmzpyJ5ORkuLq6Yv/+/fJByImJiQqZbKdOnbB582ZMnz4dX3zxBd544w3s2bMHrVq10tUuEBEp4HmNiCoCnc+TR+UvNzcX4eHhCAsLU3p5h1TDdtQOtmP5YLuWHduw7NiG2qGtdmSSR0RERFQF6fyxZkRERESkfUzyiIiIiKogJnlEREREVRCTvCoqPDwc7du3h5mZGWxsbODv74/r16/rOqxKb/78+ZBIJArzmZHqkpKSMHToUNSpUwfGxsZo3bo1zp49q+uwKr2VK1fC0dERUqkUnp6eOH36tK5DqlR4vtQ+nis1o+1zJJO8KurIkSMYM2YMfvvtN8TExOD58+fo2bMnsvmgcI2dOXMGa9asQZs2bXQdSqX05MkTeHl5wcDAAPv27cMff/yBJUuWwNLSUtehVWrR0dEIDQ3FrFmzkJCQABcXF/j6+iI1NVXXoVUaPF9qF8+VmimPcyTvrq0mHj58CBsbGxw5cgRdunTRdTiVTlZWFtq1a4dVq1bh66+/hqurKyIiInQdVqUydepUHD9+HEePHtV1KFWKp6cn2rdvjxUrVgAofLqGg4MDxo4di6lTp+o4usqJ50vN8VypufI4R7Inr5pIT08HgDI/B6+6GjNmDPz8/ODj46PrUCqtn376Ce7u7hgwYABsbGzQtm1brFu3TtdhVWp5eXk4d+6cwvdST08PPj4+OHnypA4jq9x4vtQcz5WaK49zJJO8aqCgoAATJkyAl5cXZ9DXwNatW5GQkCB/BBVp5q+//sLq1avxxhtv4MCBAxg9ejTGjRuHqKgoXYdWaT169AgymUz+JI0itra2SE5O1lFUlRvPl5rjubJsyuMcqfPHmlH5GzNmDC5fvoxjx47pOpRK5+7duxg/fjxiYmIglUp1HU6lVlBQAHd3d8ybNw8A0LZtW1y+fBmRkZEIDAzUcXREhXi+1AzPlWVXHudI9uRVcSEhIfj5558RFxeH+vXr6zqcSufcuXNITU1Fu3btUKNGDdSoUQNHjhzBf/7zH9SoUQMymUzXIVYadevWRYsWLRTKmjdvjsTERB1FVPlZWVlBX18fKSkpCuUpKSmws7PTUVSVF8+XmuO5suzK4xzJnrwqSgiBsWPHYvfu3YiPj4eTk5OuQ6qUunfvjt9//12hLDg4GM2aNcOUKVOgr6+vo8gqHy8vr2LTUvz5559o2LChjiKq/AwNDeHm5obY2Fj4+/sDKOwNiI2NRUhIiG6Dq0R4viw7nivLrjzOkUzyqqgxY8Zg8+bN+PHHH2FmZiYfn2NhYQFjY2MdR1d5mJmZFRuXY2Jigjp16nC8jpomTpyITp06Yd68eRg4cCBOnz6NtWvXYu3atboOrVILDQ1FYGAg3N3d4eHhgYiICGRnZyM4OFjXoVUaPF+WHc+VZVcu50hBVRIApa/169frOrRKz9vbW4wfP17XYVRK//vf/0SrVq2EkZGRaNasmVi7dq2uQ6oSvvnmG9GgQQNhaGgoPDw8xG+//abrkCoVni/LB8+V6tP2OZLz5BERERFVQbzxgoiIiKgKYpJHREREVAUxySMiIiKqgpjkEREREVVBTPKIiIiIqiAmeURERERVEJM8IiIioiqISR4RERFRFcQkj15p9uzZcHV1BQC4urpi9uzZKi2XnJyMHj16wMTEBLVq1VJ7W7oWHx8PiUSCtLS0Mq0nKChI/lxRIqqaVDl3de3aFRMmTCjXbbxOEokEe/bs0XUYVAomedVIZGQkzMzMkJ+fLy/LysqCgYEBunbtqlC3KMG5desWJk2ahNjYWABAbGwsJk2apNL2li1bhgcPHuDChQv4888/tbYflc3y5cuxYcMGXYdBVKWdPHkS+vr68PPz03UoGtuwYQMkEkmx17fffqvr0JR68OAB3n77bV2HQaWooesA6PXp1q0bsrKycPbsWXTo0AEAcPToUdjZ2eHUqVN49uwZpFIpACAuLg4NGjSAs7MzAMDU1BQAUKdOnVduJy8vD4aGhrh16xbc3NzwxhtvlNMeKff8+XMYGBi81m2WxsLCQtchEFV5//3vfzF27Fj897//xf3791GvXj1dh6QRc3NzXL9+XaHsdZ9DVD2H2tnZvYZoqCzYk1eNNG3aFHXr1kV8fLy8LD4+Hu+99x6cnJzw22+/KZR369ZN6aXGCRMmKPT8de3aFSEhIZgwYQKsrKzg6+sLR0dH7Ny5Exs3boREIkFQUBAAIC0tDSNGjIC1tTXMzc3x1ltv4eLFi6XG/e2336J58+aQSqVo1qwZVq1aJf/s9u3bkEgkiI6Ohre3N6RSKX744Qfk5+dj3LhxqFWrFurUqYMpU6YgMDBQYV8KCgoQHh4OJycnGBsbw8XFBTt27Ci2/ePHj6NNmzaQSqXo0KEDLl++LP9sw4YNqFWrFg4cOIDmzZvD1NQUvXr1woMHD+R1Xm7DHTt2oHXr1jA2NkadOnXg4+OD7Oxsebt7eHjIL3F7eXnhzp078mV//PFHtGvXDlKpFI0aNcKcOXMUemaJqqOsrCxER0dj9OjR8PPzK9ZzXnRlIjY2Fu7u7qhZsyY6deqkkEw5Ojoq7UUrMmXKFDRp0gQ1a9ZEo0aNMGPGDDx//rxYLJs2bYKjoyMsLCzwwQcfIDMzU619kUgksLOzU3gZGxsrravs8q+/v7/8fAsU9rb5+fnB2NgYTk5O2Lx5MxwdHREREaGwzdWrV+Pdd9+FiYkJ5s6dC+DV55sXL9fm5eUhJCQEdevWhVQqRcOGDREeHi6v+6pzf9Gl6LK2HyliklfNdOvWDXFxcfL3cXFx6Nq1K7y9veXlT58+xalTp9CtWzeV1xsVFQVDQ0McP34ckZGROHPmDHr16oWBAwfiwYMHWL58OQBgwIABSE1Nxb59+3Du3Dm0a9cO3bt3x+PHj5Wu94cffsDMmTMxd+5cXL16FfPmzcOMGTMQFRWlUG/q1KkYP348rl69Cl9fXyxYsAA//PAD1q9fj+PHjyMjI6PY2JHw8HBs3LgRkZGRuHLlCiZOnIihQ4fiyJEjCvUmT56MJUuW4MyZM7C2tkafPn0UTu45OTlYvHgxNm3ahF9//RWJif/X3h3HRF3+cQB/c1LMozvSpPMoAfU6oEV2IMlp3Tfg4KiZgjCIbIdCUk2BNLUlohEtnQwxtTWhC0aJYDVacdoQ4sp5hpClMfESRJwTpNlNPQXl5Pn94fiOrwc/D372M4/Pa2O77/M8fL7Pfdl9eL48z/Pl7IhT2l1dXUhJSUFaWhpaW1thMpmwaNEiMMZgt9sRFxcHjuNw/PhxHD58GBkZGfwvmoMHD0Kv1yM7OxsnTpzArl27UFZWxidkQsarvXv3IjAwEAEBAXjttdfw+eefgzHm0C4nJweFhYVobm6Gu7s70tLS+LqmpiZ0dXWhq6sL586dQ3h4OJ5//nm+XiKRoKysDCdOnMDHH3+MkpISFBUVCeK3t7fj22+/RU1NDWpqavDTTz9h8+bN/9wbd4Jer8f58+dhMpnwzTffoLi4GD09PQ7t3n//fcTHx+OPP/5AWlraqPPN9u3b8d1332Hv3r2wWCzYvXs3/P39+Xpncv+/8frd9xgZV0pKSpinpyfr7+9nly9fZu7u7qynp4dVVFQwjUbDGGOsvr6eAWCdnZ0sNTWVLVy4UBAjOzubcRzHH3Mcx1QqlcO5Fi5cyFJTU/njgwcPMqlUyvr6+gTtZs6cyXbt2sUYY2zjxo1s1qxZgrqKigpB+/z8fKZWqxljjHV0dDAAbNu2bYI2MpmMFRQU8Md2u535+vry76Wvr4+JxWJmNpsF35eens5SUlIYY4w1NDQwAKyyspKvv3jxIps4cSKrqqpijDFWWlrKALC2tja+zSeffMJkMhl/PPQa/vrrrwwAO3PmjMP1unjxIgPATCaTQx1jjEVFRbGPPvpIUPbFF18wuVw+bHtCxou5c+fyOaC/v59NmTKFNTQ08PWDn+W6ujq+zGg0MgCst7fXIV5WVhbz8/NjPT09I56zoKCAhYaG8scbN25kYrGYXb58mS9bs2YNmzNnDn/McRzLzs4eMeZgPvH09OS/huaS2/PjcPGG5t3W1lYGgDU1NfH1p06dYgBYUVERXwaAvf3224I4zuQbAKy6upoxxlhmZiaLjIxkAwMDDu/L2dx/p+tHRo/W5I0zL7zwAq5evYqmpiZYrVYolUp4e3uD4zgsXboUfX19MJlMmDFjBnx9fZ2OGxoaesc2x44dg81mc1jX19vbi/b2dof2V69eRXt7O9LT07Fs2TK+3G63O6xRmT17Nv/60qVLuHDhAp599lm+bMKECQgNDcXAwAAAoK2tDdeuXUN0dLQgzo0bN6BSqQRlarWafz158mQEBASgtbWVLxOLxfzaRQCQy+XD3ikDwKxZsxAVFYXg4GDodDrExMQgMTERkyZNwuTJk7FkyRLodDpER0dDq9UiKSkJcrmcv36HDh0S3EnfvHkTfX19uHbtGsRi8bDnJMSVWSwWHDlyBNXV1QAAd3d3JCcnw2AwOGwoe/rpp/nXg5+rnp4eQa4rLi6GwWCA2WyGt7c3X15VVYXt27ejvb0dNpsNdrsdUqlUEN/f3x8SiURwjpFywUgkEgmOHj3KH4tEY59ws1gscHd3R0hICF+mUCgwadIkh7ZDcygw+nyzZMkSREdHIyAgALGxsZg/fz5iYmL4WM7k/rtx/YgQDfLGGYVCgccffxwNDQ2wWq3gOA4A4OPjg2nTpsFsNqOhoQGRkZEAbiUYdtu0x3DrUDw9Pe94bpvN5rAmcNBwj1ix2WwAgJKSEsyZM0dQN2HChFGff7jYRqMRjz32mKDOw8NjVLFuX6Ds5uY27FQRcKvfBw4cgNlsRm1tLXbs2IGcnBw0NjZi+vTpKC0tRVZWFn744QdUVVVh/fr1OHDgAMLDw2Gz2ZCXl4dFixY5xB3cMEPIeGMwGGC32wUbLRhj8PDwwM6dOwU3hEM/q4PLIAZv/IBby1cyMzOxZ88ewYDw8OHDWLx4MfLy8qDT6eDl5YXKykoUFhYK+jJcLhga3xkikQgKhcLpts7kZ2fcnkNHm29CQkLQ0dGB/fv3o66uDklJSdBqtfj666+dzv134/oRIRrkjUMREREwmUywWq1Ys2YNX67RaLB//34cOXIEb731FgDA29tbsNEAAH7//fcx7V4NCQlBd3c33N3dBWs1RiKTyeDj44PTp09j8eLFTp/Hy8sLMpkMTU1N0Gg0AG7dgR49epR/xtSTTz4JDw8PnD17lh/ojuSXX37h7/StViv+/PNPBAUFOd2f27m5uWHevHmYN28eNmzYAD8/P1RXV2PVqlUAAJVKBZVKhffeew9qtRoVFRUIDw9HSEgILBaL078ACHF1drsd5eXlKCws5P9qNCguLg579uzBm2++6VSstrY2JCYmYt26dQ4DG7PZDD8/P+Tk5PBlQzdE3Sve3t6CTV43b95ES0sLv546ICAAdrsdv/32Gz/b0tbWBqvVesfYY8k3UqkUycnJSE5ORmJiImJjY/H333+POveTu4cGeeNQREQEli9fjv7+fsEAh+M4rFixAjdu3OCTRGRkJAoKClBeXg61Wo0vv/wSLS0tDlOaztBqtVCr1YiLi8OWLVugVCpx/vx5GI1GxMfHO0wXAEBeXh6ysrLg5eWF2NhYXL9+Hc3NzbBarfygaDiZmZnYtGkTFAoFAgMDsWPHDlitVv7uXSKRYPXq1Vi5ciUGBgbw3HPP4dKlSzh06BCkUilSU1P5WB988AEeeeQRyGQy5OTkYMqUKWN+uHFjYyPq6+sRExODRx99FI2Njfjrr78QFBSEjo4OFBcXY8GCBfDx8YHFYsGpU6eg1+sBABs2bMD8+fPh6+uLxMREiEQiHDt2DC0tLfjwww/H1B9C7mc1NTWwWq1IT093WMKRkJAAg8Hg1CCvt7cXL7/8MlQqFTIyMtDd3c3XTZ06FU888QTOnj2LyspKhIWFwWg08tPD91JkZCRWrVoFo9GImTNnYuvWrYKHtwcGBkKr1SIjIwOffvopHnjgAbzzzjuYOHGiYOfwcEabb7Zu3Qq5XA6VSgWRSISvvvoKU6dOxcMPPzym3E/uDtpdOw5FRESgt7cXCoUCMpmML+c4DleuXOEftQIAOp0Oubm5WLt2LcLCwnDlyhV+0DFabm5u2LdvHzQaDZYuXQqlUolXXnkFnZ2dgn4M9frrr+Ozzz5DaWkpgoODwXEcysrKMH369P96rnfffRcpKSnQ6/VQq9V46KGHoNPpBNMM+fn5yM3NxaZNmxAUFITY2FgYjUaH2Js3b0Z2djZCQ0PR3d2N77//Hg8++OCYroFUKsXPP/+Ml156CUqlEuvXr0dhYSFefPFFiMVinDx5EgkJCVAqlcjIyMDy5cvxxhtvALj1s6ipqUFtbS3CwsIQHh6OoqIi+Pn5jakvhNzvDAYDtFrtsM+RS0hIQHNzM44fP37HOBcuXMDJkydRX18PHx8fyOVy/gsAFixYgJUrV2LFihV45plnYDabkZube9ffz2ilpaUhNTUVer0eHMdhxowZDk9FKC8vh0wmg0ajQXx8PJYtWwaJRHLHJR6jzTcSiQRbtmzB7NmzERYWhjNnzmDfvn0QiURjyv3k7nBjIy0eIsSFDAwMICgoCElJScjPz7/X3SGEkHvi3LlzmDZtGurq6hAVFXWvu0P+YTRdS1xSZ2cnamtrwXEcrl+/jp07d6KjowOvvvrqve4aIYT83/z444+w2WwIDg5GV1cX1q5dC39/f369MnFtNMgjLkkkEqGsrAyrV68GYwxPPfUU6urq/qcNE4QQcr/p7+/HunXrcPr0aUgkEsydOxe7d+/+V/3rR/LPoelaQgghhBAXRBsvCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJcEA3yCCGEEEJc0H8AVWHpsU99954AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "A=np.arange(1,7,1) # Mögliche Ergebnisse\n",
    "h=np.array([4, 3, 4, 0, 6, 3])\n",
    "# Absolute Häufigkeiten\n",
    "f = h/20 # relative Häufigkeiten\n",
    "plt.figure(1)\n",
    "plt.subplot(2,2,1)\n",
    "plt.stem(A,f, linefmt='red',markerfmt='ro', use_line_collection=True)\n",
    "plt.ylabel('Relative Häufigkeit')\n",
    "plt.xlabel('Würfelergebnisse')\n",
    "plt.title('Relative Häufigkeitsfunktion')\n",
    "plt.subplot(2,2,3)\n",
    "plt.bar(A,f, 0.4,color=\"red\")\n",
    "plt.ylabel('Relative Häufigkeit')\n",
    "plt.xlabel('Würfelergebnisse')\n",
    "plt.title('Relative Häufigkeitsfunktion')\n",
    "plt.tight_layout()\n",
    "\n",
    "A=np.array([1, 2, 3, 4, 5]) # Anzahl der Flugreisen\n",
    "h=np.array([9, 8, 5, 7, 1]) # Absolute Häufigkeit\n",
    "n=np.sum(h) # Grösse der Stichprobe\n",
    "f=h/n # relative Häufigkeit\n",
    "H=np.cumsum(h) # absolute Summenhäufigkeit\n",
    "F=np.cumsum(f) # relative Summenhäufigkeit, kumulative Verteilungsfunktion (CDF)\n",
    "# Anpassung der Arrays, damit der Plot schöner wird\n",
    "A_p=np.concatenate((np.array([0]),A,np.array([6])),axis=0)\n",
    "h_p=np.concatenate((np.array([0]),h,np.array([0])),axis=0)\n",
    "H_p=np.concatenate((np.array([0]),H,np.array([n])),axis=0)\n",
    "f_p=h_p/n\n",
    "F_p=np.cumsum(f_p)\n",
    "\n",
    "plt.subplot(2,2,(2,4))\n",
    "plt.step(A_p, F_p,where='post', color='red')\n",
    "plt.title('Kumulative Verteilungsfunktion')\n",
    "plt.xlabel('Anzahl Flugreisen')\n",
    "plt.ylabel('Anteil')\n",
    "plt.xlim(0,6)\n",
    "plt.ylim(0,1)\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 0.0014793333333333332)"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Ausgaben für Transport\n",
    "#stetig metrisches Merkmal und Klassierung der Daten\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.stats import norm\n",
    "K=np.array([0, 100, 200, 500, 800,\n",
    "1000, 2000]) # Klassengrenzen\n",
    "h=np.array([0, 35, 182, 317, 84, 132,0]) # absolute Klassenhäufigkeiten\n",
    "APDF=np.array([0, 35/100, 182/300, 317/300, 84/200, 132/1000, 0]) # absolute Säulenhöhen im Histogramm\n",
    "PDF=APDF/np.sum(h) # Säulenhöhen der PDF im Histogramm\n",
    "plt.figure(1)\n",
    "plt.step(K,PDF,color='red',where='post')\n",
    "plt.xlabel('Ausgaben in Franken')\n",
    "plt.ylabel('Häufigkeitsverteilung - PDF')\n",
    "plt.title('Jährliche Ausgaben - Histogramm')\n",
    "plt.xlim(left=0)\n",
    "plt.ylim(ymin=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Quantile (aus CDF)\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "X=np.array([4, 4, 0, 3, 5, 3, 1])\n",
    "Xnum,absH =np.unique(X, return_counts=True)\n",
    "relH=absH/np.size(X)\n",
    "kumrelH =np.cumsum(relH)\n",
    "plt.figure()\n",
    "plt.step(Xnum,kumrelH,where='post',color='red')\n",
    "plt.xlim(0, np.max(X)+1)\n",
    "plt.ylim(0, 1)\n",
    "plt.vlines(1,0,0.25,color='blue',linestyles='dashed',label='1.Quartil') #1.Quartil\n",
    "plt.hlines(0.25,0,1,color='blue',linestyles='dashed')\n",
    "plt.vlines(3,0,0.5,color='green',linestyles='dashed',label='2.Quartil') #Median\n",
    "plt.hlines(0.5,0,3,color='green',linestyles='dashed')\n",
    "plt.vlines(4,0,0.75,color='orange',linestyles='dashed',label='3.Quartil') #3.Quartil\n",
    "plt.hlines(0.75,0,4,color='orange',linestyles='dashed')\n",
    "plt.legend()\n",
    "plt.title('CDF der Stichprobe')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ZHAWNotes-Ak5ZQvuq",
   "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": "3.10.9"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "87f2d5b0071e13b61e3a14b462e646856b285d3e0a05b12e6d8f67f82f2e6023"
   }
  }
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