Simulation_distributions.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# **Simulation of distributions**"
      ],
      "metadata": {
        "id": "sYWV2s-Ap36J"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "## **1. Calcule la probabilidad de obtener exactamente 3 éxitos en 8 ensayos, con una probabilidad de éxito de 0.6.**\n"
      ],
      "metadata": {
        "id": "IX8UB-vZFWod"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "id": "rTREX3rHD0Yp",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 582
        },
        "outputId": "21aa2808-4986-400c-e88b-e4fff0408502"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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AAAAAAOAW2PRKqds1bdo0ffnll4qLi5OLi0u+1zNmzBhFRESYppOTk0lMAUABqlevnuzs7PJUd8eOHYUcDQAAAIA7gU2TUt7e3nJwcFBSUpJZeVJSkvz8/HJddubMmZo2bZrWrVun2rVrm8qzlktKSjL1WZI1XbduXYvrcnZ2lrOzcz73AgBwM507dzY9v3Llit577z3VqFFDwcHBkqQtW7Zo7969euGFF2wUIQAAAABrs2lSysnJSfXr11dsbKzpB0tWp+Xh4eE5Ljdjxgy9/vrrWr16tVnfJJIUFBQkPz8/xcbGmpJQycnJ2rp1qwYNGlRYuwIAyMWECRNMz//3v/9p6NChmjJlSrY6x48ft3ZoAAAAAGzE5rfvRUREqF+/fmrQoIEaNWqkqKgopaSkKCwsTJLUt29flStXTpGRkZKk6dOna/z48Vq4cKECAwNN/UQVL15cxYsXl52dnYYNG6bXXntNVapUUVBQkMaNGyd/f3+zf+oBALaxePFi/frrr9nKn3rqKTVo0CDH0VcBAAAAFC02T0r17NlTZ86c0fjx45WYmKi6detq1apVpo7KExISZG//f/2xz507V+np6erWrZvZeiZMmKCJEydKkkaOHKmUlBQ9++yzunDhgpo2bapVq1bdVr9TAICC4erqqk2bNqlKlSpm5Zs2baKdBqzMMAylXk21dRgmKVdTbB0CAACwIpsnpSQpPDw8x9v14uLizKb/+uuvm67Pzs5OkydP1uTJkwsgOgBAQRo2bJgGDRqkHTt2qFGjRpKkrVu3at68eRo3bpyNowPuHYZhqOn8ptp8fLOtQwEAAPeoOyIpBQC4d4wePVoVK1bUW2+9pc8//1ySVL16dc2fP189evSwcXTAvSP1auodm5BqEtBEbo5utg4DAAAUMpJSAACr69GjBwko4A6S9FKS3B3dbR2GiZujm+zs7GwdBgAAKGQkpQAAAO5x7o7ucne6c5JSAADg3kBSCgBgVRkZGXrzzTf11VdfKSEhQenp6Wbzz58/b6PIAAAAAFiT/c2rAABQcCZNmqTZs2erZ8+eunjxoiIiItSlSxfZ29ubRlEFAAAAUPSRlAIAWFVMTIw+/PBDjRgxQsWKFVPv3r310Ucfafz48dqyZYutwwMAAABgJSSlAABWlZiYqFq1akmSihcvrosXL0qSHn/8ca1YscKWoQEAAACwIpJSAACrKl++vE6dOiVJqlSpktasWSNJ+uWXX+Ts7GzL0AAAAABYEUkpAIBVPfHEE4qNjZUkDRkyROPGjVOVKlXUt29fPfPMMzaODgAAAIC1MPoeAMCqpk2bZnres2dP3XfffYqPj1eVKlXUoUMHG0YGAAAAwJpISgEAbCo4OFjBwcG2DgMAAACAlZGUAgAUuu+++y7PdTt27FiIkQAAAAC4U5CUAgAUus6dO+epnp2dnTIyMgo3GAAAAAB3BJJSAIBCl5mZaesQAAAAANxhGH0PAAAAAAAAVseVUgAAq5o8eXKu88ePH2+lSAAAAADYEkkpAIBVffvtt2bTV69e1dGjR1WsWDFVqlSJpBQAAABwjyApBQCwqp07d2YrS05OVv/+/fXEE0/YICIAAAAAtkCfUgAAm/Pw8NCkSZM0btw4W4cCAAAAwEpISgEA7ggXL17UxYsXbR0GAAAAACvh9j0AgFW9/fbbZtOGYejUqVP67LPP1LZtWxtFBQAAAMDaSEoBAKzqzTffNJu2t7dXmTJl1K9fP40ZM8ZGUQEAAACwNpJSAACrOnr0qK1DAAAAAHAHoE8pAAAAAAAAWB1XSgEArOrKlSt65513tGHDBp0+fVqZmZlm83fs2GGjyAAAAABYE0kpAIBVDRgwQGvWrFG3bt3UqFEj2dnZ2TokAAAAADZAUgoAYFXff/+9Vq5cqSZNmhTYOufMmaM33nhDiYmJqlOnjt555x01atQox/oXLlzQq6++qiVLluj8+fOqUKGCoqKi1K5duwKLCQAAAEDuSEoBAKyqXLlyKlGiRIGtb9GiRYqIiFB0dLQaN26sqKgohYaG6sCBA/Lx8clWPz09XY899ph8fHz09ddfq1y5cjp27JhKlixZYDEBAAAAuLk8J6X27NmT55XWrl07X8EAAIq+WbNmadSoUYqOjlaFChVue32zZ8/WwIEDFRYWJkmKjo7WihUrNG/ePI0ePTpb/Xnz5un8+fPavHmzHB0dJUmBgYG3HQcAAACAW5PnpFTdunVlZ2cnwzBu2v9HRkbGbQcGACiaGjRooCtXrqhixYpyc3MzJYaynD9/Ps/rSk9P1/bt2zVmzBhTmb29vUJCQhQfH29xme+++07BwcEaPHiwli1bpjJlyujJJ5/UqFGj5ODgkL+dAgAAAHDL8pyUOnr0qOn5zp079dJLL+nll19WcHCwJCk+Pl6zZs3SjBkzCj5KAECR0bt3b504cUJTp06Vr6/vbXV0fvbsWWVkZMjX19es3NfXV/v377e4zJEjR7R+/Xr16dNHK1eu1KFDh/TCCy/o6tWrmjBhgsVl0tLSlJaWZppOTk7Od8wAAAAA/pPnpNT1t1h0795db7/9tlmHsLVr11ZAQIDGjRunzp07F2iQAICiY/PmzYqPj1edOnVssv3MzEz5+Pjogw8+kIODg+rXr68TJ07ojTfeyDEpFRkZqUmTJlk5UgAAAKBos8/PQr/99puCgoKylQcFBWnfvn23HRQAoOiqVq2aLl++XCDr8vb2loODg5KSkszKk5KS5OfnZ3GZsmXL6v777ze7Va969epKTExUenq6xWXGjBmjixcvmh7Hjx8vkPgBAACAe1m+klLVq1dXZGSk2Zf39PR0RUZGqnr16gUWHACg6Jk2bZpGjBihuLg4nTt3TsnJyWaPW+Hk5KT69esrNjbWVJaZmanY2FjT7eU3atKkiQ4dOqTMzExT2Z9//qmyZcvKycnJ4jLOzs7y8PAwewAAAAC4PXm+fe960dHR6tChg8qXL28aaW/Pnj2ys7PT8uXLCzRAAEDR0qZNG0lSq1atzMqzBtK41cEyIiIi1K9fPzVo0ECNGjVSVFSUUlJSTKPx9e3bV+XKlVNkZKQkadCgQXr33Xf14osvasiQITp48KCmTp2qoUOHFsDeAQDyKyUlRRs3blRCQkK2K1dpowGgaMpXUqpRo0Y6cuSIYmJiTB3J9uzZU08++aTc3d0LNEAAQNGyYcOGAl1fz549debMGY0fP16JiYmqW7euVq1aZer8PCEhQfb2/3dhcEBAgFavXq3hw4erdu3aKleunF588UWNGjWqQOMCAOTdzp071a5dO6WmpiolJUWlSpXS2bNn5ebmJh8fH5JSAFBE5SspJUnu7u569tlnCzIWAMA9oEWLFgW+zvDwcIWHh1ucFxcXl60sODhYW7ZsKfA4AAD5M3z4cHXo0EHR0dHy9PTUli1b5OjoqKeeekovvviircMDABSSfCelJGnfvn0WL6/t2LHjbQUFACi6fvzxx1znN2/e3EqRAADuFLt27dL7778ve3t7OTg4KC0tTRUrVtSMGTPUr18/denSxdYhAgAKQb6SUkeOHNETTzyh3377TXZ2djIMQ5JkZ2cnSbfcHwgA4N7RsmXLbGVZ5w+JcwgA3IscHR1Nt1r7+PgoISFB1atXl6enJyOeAkARlq/R91588UUFBQXp9OnTcnNz0969e/Xjjz+qQYMGFm+TAAAgyz///GP2OH36tFatWqWGDRtqzZo1tg4PAGAD9erV0y+//CLpv9u8x48fr5iYGA0bNkw1a9a0cXQAgMKSr6RUfHy8Jk+eLG9vb9nb28ve3l5NmzZVZGQknRACAHLl6elp9vD29tZjjz2m6dOna+TIkbYODwBgA1OnTlXZsmUlSa+//rq8vLw0aNAgnTlzRh988EGe1/Pjjz+qQ4cO8vf3l52dnZYuXWo2v3///rKzszN7ZI0Km+X8+fPq06ePPDw8VLJkSQ0YMECXLl267X0EAGSXr9v3MjIyVKJECUmSt7e3Tp48qapVq6pChQo6cOBAgQYIALg3+Pr6cg4BgHtUgwYNTM99fHy0atWqfK0nJSVFderU0TPPPJNjP1Rt2rTR/PnzTdPOzs5m8/v06aNTp05p7dq1unr1qsLCwvTss89q4cKF+YoJAJCzfCWlatasqd27dysoKEiNGzfWjBkz5OTkpA8++EAVK1Ys6BgBAEXInj17zKYNw9CpU6c0bdo01a1b1zZBAQCKhLZt26pt27a51nF2dpafn5/FeX/88YdWrVqlX375xZQoe+edd9SuXTvNnDlT/v7+BR4zANzL8pWUGjt2rFJSUiRJkydP1uOPP65mzZqpdOnSWrRoUYEGCAAoWurWrWs2SEaWhx56SPPmzbNRVAAAa3vwwQcVGxsrLy8v1atXz2zQixvt2LGjwLYbFxcnHx8feXl56dFHH9Vrr72m0qVLS/qvm5KSJUuaXbkVEhIie3t7bd26VU888US29aWlpSktLc00nZycXGCxAkBRl6+kVGhoqOl55cqVtX//fp0/f15eXl65nkwAADh69KjZtL29vcqUKSMXFxcbRQQAsIVOnTqZbp3r3LmzVbbZpk0bdenSRUFBQTp8+LBeeeUVtW3bVvHx8XJwcFBiYqJ8fHzMlilWrJhKlSqlxMREi+uMjIzUpEmTrBE+ABQ5+UpKWVKqVKmCWhUAoAirUKGCrUMAANwBJkyYYPF5YerVq5fpea1atVS7dm1VqlRJcXFxatWqVb7WOWbMGEVERJimk5OTFRAQcNuxAsC9IM9JqZw6CrRkyZIl+QoGAFD0DR06VJUrV842Wuu7776rQ4cOKSoqyjaBAQBs5pdfflFmZqYaN25sVr5161Y5ODiY3U5XkCpWrChvb28dOnRIrVq1kp+fn06fPm1W59q1azp//nyO/VA5Oztn6ywdAJA39nmteP3w3R4eHoqNjdWvv/5qmr99+3bFxsbK09OzUAIFABQN33zzjZo0aZKt/OGHH9bXX39tg4gAALY2ePBgHT9+PFv5iRMnNHjw4ELb7t9//61z586pbNmykqTg4GBduHBB27dvN9VZv369xYQZAOD25flKqeuHTR01apR69Oih6OhoOTg4SJIyMjL0wgsvyMPDo+CjBAAUGefOnbP4B4aHh4fOnj1rg4gAALa2b98+Pfjgg9nK69Wrp3379uV5PZcuXdKhQ4dM00ePHtWuXbtUqlQplSpVSpMmTVLXrl3l5+enw4cPa+TIkapcubKpz9zq1aurTZs2GjhwoKKjo3X16lWFh4erV69ejLwHAIUgz1dKXW/evHl66aWXTAkpSXJwcFBERAQjJwEAclW5cmWtWrUqW/kPP/ygihUr2iAiAICtOTs7KykpKVv5qVOnVKxY3rvB/fXXX1WvXj3Vq1dPkhQREaF69epp/PjxcnBw0J49e9SxY0fdf//9GjBggOrXr6+ffvrJ7Pa7mJgYVatWTa1atVK7du3UtGlTffDBB7e/kwCAbPLV0fm1a9e0f/9+Va1a1ax8//79yszMLJDAAABFU0REhMLDw3XmzBk9+uijkqTY2FjNmjWL/qQA4B7VunVrjRkzRsuWLTNdTXvhwgW98soreuyxx/K8npYtW8owjBznr169+qbrKFWqlBYuXJjnbQIA8i9fSamwsDANGDBAhw8fVqNGjST91wnhtGnTFBYWVqABAgCKlmeeeUZpaWl6/fXXNWXKFElSYGCg5s6dq759+9o4OgCALcycOVPNmzdXhQoVTFc57dq1S76+vvrss89sHB0AoLDkKyk1c+ZM+fn5adasWTp16pQkqWzZsnr55Zc1YsSIAg0QAFD0DBo0SIMGDdKZM2fk6uqq4sWLS5LOnz+vUqVK2Tg6AIC1lStXTnv27FFMTIx2794tV1dXhYWFqXfv3nJ0dLR1eACAQpKvpJS9vb1GjhypkSNHKjk5WZLo4BwAcMvKlCkjSVqzZo0++ugjLV++XJcvX7ZxVAAAW3B3d9ezzz5r6zAAAFaUr6TU9UhGAQDy49ixY5o3b54++eQT/fPPP2rbtq0+/fRTW4cFALCRgwcPasOGDTp9+nS2fmrHjx9vo6gAAIUpz0mpBx98ULGxsfLy8lK9evVkZ2eXY90dO3YUSHAAgKIlPT1dS5Ys0UcffaRNmzYpJCREf//9t3bu3KlatWrZOjwAgI18+OGHGjRokLy9veXn52f2W8POzo6kFAAUUXlOSnXq1Mk0VGrnzp0LKx4AQBE1ZMgQffHFF6pSpYqeeuopLVq0SKVLl5ajo6McHBxsHR4AwIZee+01vf766xo1apStQwEAWFGek1ITJkyw+BwAgLyYO3euRo0apdGjR6tEiRK2DgcAcAf5559/1L17d1uHAQCwMntbBzBnzhwFBgbKxcVFjRs31rZt23Ksu3fvXnXt2lWBgYGys7NTVFRUtjoTJ06UnZ2d2aNatWqFuAcAgLz47LPPtG3bNpUtW1Y9e/bU999/r4yMDFuHBQC4A3Tv3l1r1qyxdRgAACvL85VSXl5eufYjdb3z58/nqd6iRYsUERGh6OhoNW7cWFFRUQoNDdWBAwfk4+OTrX5qaqoqVqyo7t27a/jw4Tmu94EHHtC6detM08WK3XZ/7gCA29S7d2/17t1bR48e1YIFCzR48GClpqYqMzNT+/btU40aNWwdIgDARipXrqxx48Zpy5YtqlWrlhwdHc3mDx061EaRAQAKU56zNZauSrpds2fP1sCBAxUWFiZJio6O1ooVKzRv3jyNHj06W/2GDRuqYcOGkmRxfpZixYrJz8+vwOMFANy+oKAgTZo0SRMnTtSaNWv08ccf66mnntKwYcPUpUsXvf3227YOEQBgZR988IGKFy+ujRs3auPGjWbz7OzsSEoBQBGV56RUv379CnTD6enp2r59u8aMGWMqs7e3V0hIiOLj429r3QcPHpS/v79cXFwUHBysyMhI3XfffTnWT0tLU1pammk6OTn5trYPALg5Ozs7hYaGKjQ0VOfPn9enn36q+fPn2zosAIANHD161NYhAABsIM99Sl2fqElOTs71kRdnz55VRkaGfH19zcp9fX2VmJiY17Cyady4sRYsWKBVq1Zp7ty5Onr0qJo1a6Z///03x2UiIyPl6elpegQEBOR7+wCAW1eqVCkNGzZMu3fvtnUoAAAbSk9P14EDB3Tt2jVbhwIAsII8J6W8vLx0+vRpSVLJkiXl5eWV7ZFVbktt27ZV9+7dVbt2bYWGhmrlypW6cOGCvvrqqxyXGTNmjC5evGh6HD9+3IoRAwAAAPe21NRUDRgwQG5ubnrggQeUkJAgSRoyZIimTZtm4+gAAIUlz7fvrV+/XqVKlZIkbdiw4bY37O3tLQcHByUlJZmVJyUlFWh/UCVLltT999+vQ4cO5VjH2dlZzs7OBbZNAAAAAHk3ZswY7d69W3FxcWrTpo2pPCQkRBMnTsy1P1kAwN0rz0mpFi1aWHyeX05OTqpfv75iY2PVuXNnSVJmZqZiY2MVHh5+2+vPcunSJR0+fFhPP/10ga0TAAAAQMFZunSpFi1apIceeshsxO8HHnhAhw8ftmFkAIDClOek1I3++ecfffzxx/rjjz8kSTVq1FBYWJjpaqq8iIiIUL9+/dSgQQM1atRIUVFRSklJMY3G17dvX5UrV06RkZGS/rvHfN++fabnJ06c0K5du1S8eHFVrlxZkvTSSy+pQ4cOqlChgk6ePKkJEybIwcFBvXv3zu+uAgAAAChEZ86ckY+PT7bylJQUsyQVAKBoyVdS6scff1SHDh3k6empBg0aSJLefvttTZ48WcuXL1fz5s3ztJ6ePXvqzJkzGj9+vBITE1W3bl2tWrXK1Pl5QkKC7O3/r9urkydPql69eqbpmTNnaubMmWrRooXi4uIkSX///bd69+6tc+fOqUyZMmratKm2bNmiMmXK5GdXAQAFYM+ePXmuW7t27UKMBABwJ2rQoIFWrFihIUOGSJIpEfXRRx8pODjYlqEBAApRvpJSgwcPVs+ePTV37lw5ODhIkjIyMvTCCy9o8ODB+u233/K8rvDw8Bxv18tKNGUJDAyUYRi5ru/LL7/M87YBANZRt25d2dnZyTCMm/7jnZGRYaWoAAB3iqlTp6pt27bat2+frl27prfeekv79u3T5s2btXHjRluHBwAoJHkefe96hw4d0ogRI0wJKUlycHBQRERErh2KAwDuTUePHtWRI0d09OhRffPNNwoKCtJ7772nnTt3aufOnXrvvfdUqVIlffPNN7YOFQBgA02bNtWuXbt07do11apVS2vWrJGPj4/i4+NVv359W4cHACgk+bpS6sEHH9Qff/yhqlWrmpX/8ccfqlOnToEEBgAoOipUqGB63r17d7399ttq166dqax27doKCAjQuHHjTINfAADuLZUqVdKHH35o6zAAAFaU56TU9f2BDB06VC+++KIOHTqkhx56SJK0ZcsWzZkzR9OmTSv4KAEARcZvv/2moKCgbOVBQUGmwSwAAPeWhISEXOffd999VooEAGBNeU5KXd8fSJaRI0dmq/fkk0+qZ8+eBRMdAKDIqV69uiIjI/XRRx/JyclJ0n8jqkZGRqp69eo2jg4AYAuBgYG59jlIf4MAUDTlOSl19OjRwowDAHCPiI6OVocOHVS+fHnTSHt79uyRnZ2dli9fbuPoAAC2sHPnTrPpq1evaufOnZo9e7Zef/11G0UFAChseU5KXd8fCAAA+dWoUSMdOXJEMTEx2r9/vySpZ8+eevLJJ+Xu7m7j6AAAtmCpX9oGDRrI399fb7zxhrp06WKDqAAAhS1fHZ1n2bdvnxISEpSenm5W3rFjx9sKCgBQtLm7u+vZZ5+1dRgAgDtc1apV9csvv9g6DABAIclXUurIkSN64okn9Ntvv5n1M5V1Hzj3fAMAboY/NgAAWZKTk82mDcPQqVOnNHHiRFWpUsVGUeGeFtfB1hEA94R8JaVefPFFBQUFKTY2VkFBQdq2bZvOnTunESNGaObMmQUdIwCgCOGPDQDAjUqWLJmto3PDMBQQEKAvv/zSRlEBAApbvpJS8fHxWr9+vby9vWVvby97e3s1bdpUkZGRGjp0aLaOCgEAyMIfGwCAG61fv94sKWVvb68yZcqocuXKKlbstnocAQDcwfLVwmdkZKhEiRKSJG9vb508eVJVq1ZVhQoVdODAgQINEABQtPDHBgDgRi1btrR1CAAAG7DPz0I1a9bU7t27JUmNGzfWjBkztGnTJk2ePFkVK1Ys0AABAEWLpT82JPHHBgDcwyIjIzVv3rxs5fPmzdP06dNtEBEAwBrylZQaO3asMjMzJUmTJ0/W0aNH1axZM61cuVJvv/12gQYIACha+GMDAHCj999/X9WqVctW/sADDyg6OtoGEQEArCFft++FhoaanleuXFn79+/X+fPn5eXlla2DQgAArjd27FilpKRI+u+Pjccff1zNmjVT6dKltWjRIhtHBwCwhcTERJUtWzZbeZkyZXTq1CkbRAQAsIbb7jXw+PHjkqSAgIDbDgYAUPTxxwYA4EYBAQHatGmTgoKCzMo3bdokf39/G0UFAChs+bp979q1axo3bpw8PT0VGBiowMBAeXp6auzYsbp69WpBxwgAKOJKlSpFQgoA7mEDBw7UsGHDNH/+fB07dkzHjh3TvHnzNHz4cA0cONDW4QEACkm+rpQaMmSIlixZohkzZig4OFjSf6MpTZw4UefOndPcuXMLNEgAwN2tS5cuea67ZMmSQowEAHAnevnll3Xu3Dm98MILSk9PlyS5uLho1KhRGjNmjI2jAwAUlnwlpRYuXKgvv/xSbdu2NZXVrl1bAQEB6t27N0kpAIAZT09P03PDMPTtt9/K09NTDRo0kCRt375dFy5cuKXkFQCg6LCzs9P06dM1btw4/fHHH3J1dVWVKlXk7Oxs69AAAIUoX0kpZ2dnBQYGZisPCgqSk5PT7cYEAChi5s+fb3o+atQo9ejRQ9HR0XJwcJAkZWRk6IUXXpCHh4etQgQA3AESExN1/vx5NW/eXM7OzjIMg9u7AaAIy1efUuHh4ZoyZYrS0tJMZWlpaXr99dcVHh5eYMEBAIqeefPm6aWXXjIlpCTJwcFBERERmjdvng0jAwDYyrlz59SqVSvdf//9ateunWnEvQEDBmjEiBE2jg4AUFjyfKXUjbdUrFu3TuXLl1edOnUkSbt371Z6erpatWpVsBECAIqUa9euaf/+/apatapZ+f79+5WZmWmjqAAAtjR8+HA5OjoqISFB1atXN5X37NlTERERmjVrlg2jAwAUljwnpa7vD0SSunbtajYdEBBQMBEBAIq0sLAwDRgwQIcPH1ajRo0kSVu3btW0adMUFhZm4+gAALawZs0arV69WuXLlzcrr1Klio4dO2ajqAAAhS3PSanr+wMBACC/Zs6cKT8/P82aNct0e0bZsmX18ssvc4sGANyjUlJS5Obmlq38/PnzdHYOAEVYvvqUynLmzBn9/PPP+vnnn3XmzJmCigkAUITZ29tr5MiROnHihC5cuKALFy7oxIkTGjlypFk/UwCAe0ezZs306aefmqbt7OyUmZmpGTNm6JFHHrFhZACAwpSv0fdSUlI0ZMgQffrpp6b+PxwcHNS3b1+98847Fv/lAADgRoy2BwCQpBkzZqhVq1b69ddflZ6erpEjR2rv3r06f/68Nm3aZOvwAACFJF9JqYiICG3cuFHLly9XkyZNJEk///yzhg4dqhEjRmju3LkFGiQA4O724IMPKjY2Vl5eXqpXr16uw3vv2LHDipEBAO4ENWvW1J9//ql3331XJUqU0KVLl9SlSxcNHjxYZcuWtXV4AIBCkq+k1DfffKOvv/5aLVu2NJW1a9dOrq6u6tGjB0kpAICZTp06mfoE6dy5s22DAQDcUa5evao2bdooOjpar776qq3DAQBYUb6SUqmpqfL19c1W7uPjo9TU1NsOCgBQtEyYMMHicwAAHB0dtWfPHluHAQCwgXx1dB4cHKwJEyboypUrprLLly9r0qRJCg4OLrDgAAAAABR9Tz31lD7++GNbhwEAsLJ8XSkVFRWlNm3aqHz58qpTp44kaffu3XJxcdHq1asLNEAAwN3Py8sr136krnf+/PlCjgYAcKe5du2a5s2bp3Xr1ql+/fpyd3c3mz979mwbRQYAKEz5SkrVqlVLBw8eVExMjPbv3y9J6t27t/r06SNXV9cCDRC4XR06WGc7y5dbZzvA3SgqKsrWIQAA7kBHjhxRYGCgfv/9dz344IOSpD///NOsTl7/1AAA3H1uOSl19epVVatWTd9//70GDhxYGDEBAIqYfv36Fer658yZozfeeEOJiYmqU6eO3nnnHTVq1Oimy3355Zfq3bu3OnXqpKVLlxZqjIAkGYah1Kt3Rv+bKVdTbB0CoCpVqujUqVPasGGDJKlnz556++23LfZfCwAoem45KeXo6GjWlxQAADeTnJwsDw8P0/PcZNXLq0WLFikiIkLR0dFq3LixoqKiFBoaqgMHDsjHxyfH5f766y+99NJLatas2S1tD8gvwzDUdH5TbT6+2dahAHcMwzDMpn/44QelpJAwBYB7Rb46Oh88eLCmT5+ua9euFXQ8AIAiyMvLS6dPn5YklSxZUl5eXtkeWeW3avbs2Ro4cKDCwsJUo0YNRUdHy83NTfPmzctxmYyMDPXp00eTJk1SxYoV871fwK1IvZp6RyakmgQ0kZujm63DACRlT1IBAIq2fPUp9csvvyg2NlZr1qxRrVq1snVEuGTJkgIJDgBQNKxfv16lSpWSJNMtGgUhPT1d27dv15gxY0xl9vb2CgkJUXx8fI7LTZ48WT4+PhowYIB++umnm24nLS1NaWlppumbXe0F3EzSS0lyd3S/eUUrcHN0o88e2IydnV22zx+fRwC4d+QrKVWyZEl17dq1oGMBABRRLVq0sPj8dp09e1YZGRnZ+h7x9fU1DcRxo59//lkff/yxdu3aleftREZGatKkSbcTKmDG3dFd7k53RlIKsCXDMNS/f385OztLkq5cuaLnn3+eP70B4B5xS0mpzMxMvfHGG/rzzz+Vnp6uRx99VBMnTmTEPQDALfnnn3/08ccf648//pAk1ahRQ2FhYaarqQrLv//+q6effloffvihvL2987zcmDFjFBERYZpOTk5WQEBAYYQIAPeUGwfCeOqpp2wUCQDAFm4pKfX6669r4sSJCgkJkaurq95++22dOXMm1347AAC43o8//qgOHTrI09NTDRo0kCS9/fbbmjx5spYvX67mzZvneV3e3t5ycHBQUlKSWXlSUpL8/Pyy1T98+LD++usvdejQwVSWmZkpSSpWrJgOHDigSpUqZVvO2dnZ9C8+AKDgzJ8/39YhAABs6JY6Ov/000/13nvvafXq1Vq6dKmWL1+umJgY0xd6AABuZvDgwerZs6eOHj2qJUuWaMmSJTpy5Ih69eqlwYMH39K6nJycVL9+fcXGxprKMjMzFRsbq+Dg4Gz1q1Wrpt9++027du0yPTp27KhHHnlEu3bt4uonAAAAwIpu6UqphIQEtWvXzjQdEhIiOzs7nTx5UuXLly/w4AAARc+hQ4f09ddfy8HBwVTm4OCgiIgIffrpp7e8voiICPXr108NGjRQo0aNFBUVpZSUFIWFhUmS+vbtq3LlyikyMlIuLi6qWbOm2fIlS5aUpGzlAAAAAArXLSWlrl27JhcXF7MyR0dHXb16tUCDAgAUXQ8++KD++OMPVa1a1az8jz/+UJ06dW55fT179tSZM2c0fvx4JSYmqm7dulq1apWp8/OEhATZ29/ShcEAAAAArOCWklI3jo4hWR4hg9ExAADX27Nnj+n50KFD9eKLL+rQoUN66KGHJElbtmzRnDlzNG3atHytPzw8XOHh4RbnxcXF5brsggUL8rVNAAAAALfnlpJSN46OITFCBgDg5urWrSs7OzsZhmEqGzlyZLZ6Tz75pHr27GnN0AAAAADYyC0lpRgdAwCQH0ePHrV1CAAAAADuMLeUlAIAID8qVKhg6xAAAAAA3GFISgEAbGLfvn1KSEhQenq6WXnHjh1tFBEAAAAAa2I4IgCAVR05ckR16tRRzZo11b59e3Xu3FmdO3fWE088oSeeeMLW4QEA7mI//vijOnToIH9/f9nZ2Wnp0qVm8w3D0Pjx41W2bFm5uroqJCREBw8eNKtz/vx59enTRx4eHipZsqQGDBigS5cuWXEvAODeQVIKAGBVL774ooKCgnT69Gm5ublp7969+vHHH9WgQYObjpQHAEBuUlJSVKdOHc2ZM8fi/BkzZujtt99WdHS0tm7dKnd3d4WGhurKlSumOn369NHevXu1du1aff/99/rxxx/17LPPWmsXAOCewu17AACrio+P1/r16+Xt7S17e3vZ29uradOmioyM1NChQ7Vz505bhwgAuEu1bdtWbdu2tTjPMAxFRUVp7Nix6tSpkyTp008/la+vr5YuXapevXrpjz/+0KpVq/TLL7+oQYMGkqR33nlH7dq108yZM+Xv72+1fQGAewFXSgEArCojI0MlSpSQJHl7e+vkyZOS/usM/cCBA7YMDQBQhB09elSJiYkKCQkxlXl6eqpx48aKj4+X9N8fJyVLljQlpCQpJCRE9vb22rp1q8X1pqWlKTk52ewBAMgbklIAAKuqWbOmdu/eLUlq3LixZsyYoU2bNmny5MmqWLGijaMDABRViYmJkiRfX1+zcl9fX9O8xMRE+fj4mM0vVqyYSpUqZapzo8jISHl6epoeAQEBhRA9ABRNJKUAAFY1duxYZWZmSpImT56so0ePqlmzZlq5cqXefvttG0cHAMCtGTNmjC5evGh6HD9+3NYhAcBdgz6lAABWFRoaanpeuXJl7d+/X+fPn5eXl5fs7OxsGBkAoCjz8/OTJCUlJals2bKm8qSkJNWtW9dU5/Tp02bLXbt2TefPnzctfyNnZ2c5OzsXTtAAUMRxpRQAwGaOHz+u48ePq1SpUiSkAACFKigoSH5+foqNjTWVJScna+vWrQoODpYkBQcH68KFC9q+fbupzvr165WZmanGjRtbPWYAKOpISgEArOratWsaN26cPD09FRgYqMDAQHl6emrs2LG6evWqrcMDANzFLl26pF27dmnXrl2S/uvcfNeuXUpISJCdnZ2GDRum1157Td99951+++039e3bV/7+/urcubMkqXr16mrTpo0GDhyobdu2adOmTQoPD1evXr0YeQ8ACgG37wEArGrIkCFasmSJZsyYYfpnOj4+XhMnTtS5c+c0d+5cG0cIALhb/frrr3rkkUdM0xEREZKkfv36acGCBRo5cqRSUlL07LPP6sKFC2ratKlWrVolFxcX0zIxMTEKDw9Xq1atZG9vr65du9LnIQAUEpJSAACrWrhwob788ku1bdvWVFa7dm0FBASod+/eJKUAAPnWsmVLGYaR43w7OztNnjxZkydPzrFOqVKltHDhwsIIDwBwA27fAwBYlbOzswIDA7OVBwUFycnJyfoBAQAAALAJmyel5syZo8DAQLm4uKhx48batm1bjnX37t2rrl27KjAwUHZ2doqKirrtdQIArCs8PFxTpkxRWlqaqSwtLU2vv/66wsPDbRgZAAAAAGuy6e17ixYtUkREhKKjo9W4cWNFRUUpNDRUBw4ckI+PT7b6qampqlixorp3767hw4cXyDoBAIWvS5cuZtPr1q1T+fLlVadOHUnS7t27lZ6erlatWtkiPAAAAAA2YNOk1OzZszVw4ECFhYVJkqKjo7VixQrNmzdPo0ePzla/YcOGatiwoSRZnJ+fdQIACp+np6fZdNeuXc2mAwICrBkOAAAAgDuAzZJS6enp2r59u8aMGWMqs7e3V0hIiOLj4++YdQIAbt/8+fNtHQIAAACAO4zNklJnz55VRkaGfH19zcp9fX21f/9+q64zLS3NrG+T5OTkfG0fAJB3Z86c0YEDByRJVatWVZkyZWwcEQAAAABrsnlH53eCyMhIeXp6mh7cRgIAhSclJUXPPPOMypY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          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  4.8\n",
            "Varianza:  1.92\n",
            "Sesgo:  -0.1443375672974064\n",
            "Curtosis:  -0.22916666666666666\n"
          ]
        }
      ],
      "source": [
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "from scipy.stats import binom\n",
        "\n",
        "#Parámetros de la distribución binomial\n",
        "n = 8  #número total de ensayos\n",
        "p = 0.6  #probabilidad de éxito en cada ensayo\n",
        "\n",
        "#Generar la PMF (función de masa de probabilidad)\n",
        "#y la CDF (función de distribución acumulada)\n",
        "#para todos los posibles números de éxitos\n",
        "x = np.arange(0, n+1)\n",
        "pmf = binom.pmf(x, n, p)\n",
        "cdf = binom.cdf(x, n, p)\n",
        "\n",
        "#Generar el histograma de variables aleatorias de la distribución binomial\n",
        "random_variables = binom.rvs(n, p, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Éxitos\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='green')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Éxitos\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "\n",
        "\n",
        "# Dibujar el Histograma\n",
        "plt.subplot(1, 3, 3)\n",
        "\n",
        "plt.hist(random_variables, bins=range(n+2), align='left', color='orange', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Éxitos\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "mean, var, skew, kurt = binom.stats(n,p,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "## **2. ¿Cuál es la probabilidad de que ocurran 5 o menos eventos en un intervalo de tiempo, dado que la tasa media de eventos es 3 por intervalo?**\n",
        "\n"
      ],
      "metadata": {
        "id": "5rjjFWk6Fdbj"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import poisson\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución de Poisson\n",
        "lambda_ = 3  # tasa media de eventos por intervalo\n",
        "\n",
        "# Generar la PMF y la CDF para el rango de eventos\n",
        "x = np.arange(0, 15)\n",
        "pmf = poisson.pmf(x, lambda_)\n",
        "cdf = poisson.cdf(x, lambda_)\n",
        "\n",
        "# Calcular la probabilidad de 5 o menos eventos\n",
        "probabilidad = poisson.cdf(5, lambda_)\n",
        "print(f\"La probabilidad de que ocurran 5 o menos eventos es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución de Poisson\n",
        "random_variables = poisson.rvs(lambda_, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='purple', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Eventos\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='red')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Eventos\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "# Dibujar el Histograma\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.hist(random_variables, bins=range(16), align='left', color='green', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Eventos\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n",
        "mean, var, skew, kurt = poisson.stats(lambda_,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "GirIC4f4LWAt",
        "outputId": "5f0fd37f-4d8c-4603-aad9-c431ba66d377"
      },
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de que ocurran 5 o menos eventos es: 0.9161\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  3.0\n",
            "Varianza:  3.0\n",
            "Sesgo:  0.5773502691896257\n",
            "Curtosis:  0.3333333333333333\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **3. En un lote de 20 artículos, hay 5 defectuosos. Si seleccionamos al azar 4 artículos, ¿cuál es la probabilidad de que exactamente 2 sean defectuosos?**\n"
      ],
      "metadata": {
        "id": "yWTTAx7RJaww"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import hypergeom\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución hipergeométrica\n",
        "M = 20  # tamaño total de la población (total de artículos)\n",
        "n = 5   # total de objetos de tipo deseado en la población (artículos defectuosos)\n",
        "N = 4   # tamaño de la muestra extraída de la población\n",
        "\n",
        "# Calcular la probabilidad de que exactamente 2 de los 4 artículos sean defectuosos\n",
        "k = 2  # número de artículos defectuosos deseados en la muestra\n",
        "probabilidad = hypergeom.pmf(k, M, n, N)\n",
        "print(f\"La probabilidad de que exactamente 2 de los 4 artículos sean defectuosos es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar la PMF y la CDF para el rango de artículos defectuosos posibles en la muestra\n",
        "x = np.arange(0, N+1)\n",
        "pmf = hypergeom.pmf(x, M, n, N)\n",
        "cdf = hypergeom.cdf(x, M, n, N)\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución hipergeométrica\n",
        "random_variables = hypergeom.rvs(M, n, N, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='brown', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Artículos Defectuosos\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='blue')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Artículos Defectuosos\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "\n",
        "# Dibujar el Histograma\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.hist(random_variables, bins=range(N+2), align='left', color='grey', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Artículos Defectuosos\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n",
        "rv= hypergeom(M, k, N)\n",
        "mean, var, skew, kurt =rv.stats(moments= \"msvk\")\n",
        "print(\"Media: \", mean)\n",
        "print(\"Varianza: \", var)\n",
        "print(\"Sesgo: \", skew)\n",
        "print(\"Curtosis: \", kurt)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "SHzTPC21Lp4b",
        "outputId": "6d19677a-b108-4c55-dc9b-8db5a71e13d2"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de que exactamente 2 de los 4 artículos sean defectuosos es: 0.2167\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  0.4\n",
            "Varianza:  0.3031578947368421\n",
            "Sesgo:  0.9686442096757054\n",
            "Curtosis:  -0.09722222222222222\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "\n",
        "## 4. **Calcule la probabilidad de obtener un fracaso (0) en un ensayo, con una probabilidad de éxito del 0.75.**"
      ],
      "metadata": {
        "id": "DD42oMMXMcSs"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import bernoulli\n",
        "\n",
        "# Parámetros del problema\n",
        "probabilidad_exito = 0.75\n",
        "\n",
        "# Valores posibles para el resultado del ensayo (0 para fracaso, 1 para éxito)\n",
        "#resultados = np.array([0, 1])\n",
        "resultados = bernoulli.rvs(probabilidad_exito, size=1)\n",
        "\n",
        "\n",
        "# Función de masa de probabilidad (PMF)\n",
        "pmf = bernoulli.pmf(resultados, probabilidad_exito)\n",
        "\n",
        "# Función de densidad de probabilidad (PDF)\n",
        "pdf = bernoulli.pmf(resultados, probabilidad_exito)\n",
        "\n",
        "# Función de distribución acumulada (CDF)\n",
        "cdf = bernoulli.cdf(resultados, probabilidad_exito)\n",
        "\n",
        "# Histograma\n",
        "# Puedes usar plt.bar para un histograma discreto\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "\n",
        "plt.bar(resultados, pmf, align='center', alpha=0.7, color='blue', label='PMF')\n",
        "plt.xlabel('Resultado del ensayo')\n",
        "plt.ylabel('Probabilidad')\n",
        "plt.title('Función de Masa de Probabilidad (PMF) de Bernoulli')\n",
        "plt.xticks(resultados)\n",
        "\n",
        "plt.subplot(1, 3, 2)\n",
        "# También puedes trazar la función de distribución acumulada (CDF)\n",
        "plt.step(resultados, cdf, color='green', where='post', label='CDF')\n",
        "plt.xlabel('Resultado del ensayo')\n",
        "plt.ylabel('Probabilidad acumulativa')\n",
        "plt.title('Función de Distribución Acumulativa (CDF) de Bernoulli')\n",
        "plt.xticks(resultados)\n",
        "\n",
        "# Dibujar el Histograma\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.hist(resultados, bins=range(2), align='left', color='grey', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Artículos Defectuosos\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "mean, var, skew, kurt = bernoulli.stats(probabilidad_exito,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 582
        },
        "id": "qlKfAyfgMYV0",
        "outputId": "8a526724-11c7-414a-834c-b4bc870adf7c"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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RKFWqFJYtW4Zu3bohPj4eZcqUURv/69ev0bp1a8THx2PMmDFwdHTEhg0bVN6ZceDAAbRt2xYeHh4IDg6Gnp6emOj5559/0KhRI40+s4CAAPzyyy8ICwsTO8reu3cvNmzYoPKi6scff4SFhQWCgoJgYWGBAwcOYObMmUhJScE333wD4G3j7Ovri/T0dIwePRoODg548OAB/vzzTyQnJ8PKygrA28eGatasiY4dO8LAwAC7du3CiBEjkJOTg5EjR+Yb9969e9GtWzfUqFEDoaGhSEpKEhuXvIYOHYoff/wRgYGBGDNmDO7cuYPly5fjzJkzOHr0qE6ZYPmJf+7vMykpCW3btkXv3r3Rr18/2Nvb4/Xr12jZsiVu3ryJUaNGwdXVFVu3bsXAgQORnJyMsWPHKsz3559/xsuXLzFy5Ei8efMGS5cuxaeffooLFy7A3t4ewNud/Pbt2wgMDISDgwMuXbqE1atX49KlSzh+/LjSxUHPnj3h4uKC0NBQHD9+HMuWLcPz58/x888/a73euQmCgE6dOuHIkSMYNmwYqlevjt9++03lrwWaxnzhwgW0adMGZcuWxaxZs5CVlYXg4GBx3d/l2LFjKFOmDJydnTWqr+p7lNN23wCA7OxspfbMxMREqT8qDw8Pjfrged/b+bNnzwC8vXh78OAB5syZAxMTE/Ts2VOsk5OTg44dO+LIkSMYMmQIqlevjgsXLuDbb7/F9evXldbrwIED+PXXXzFq1CjcuHEDv/zyi3hiM3z4cFhZWWHChAl4+vQpwsPDlWKaNWsWQkJCYGJigvr166NRo0ZYtWoVKlasCOB/7b6VlRXKlSuHXbt2KbX7CQkJaNeuHWrWrInhw4dj0aJFqFix4jvb/QMHDiAxMfGDa/dVady4Mdzc3NT2ZwNo1rZv2LABX375JRo1aoQhQ4YAANzc3BTm06NHD1SpUgXz589XuhDJ69ChQ9iyZQvGjBkDY2NjrFy5En5+fjh58qROj3+GhIRg1qxZaNKkCWbPng0jIyOcOHECBw4cQJs2bVROo207vnHjRrx8+RJDhw6FTCbDwoUL0bVrV9y+fVuj/TAyMhKtWrWCg4MDevfujalTp2LXrl3o0aOHWCc7Oxvt27dHdHQ0evfujbFjx+Lly5fYt28fLl68qPSZayI7Oxtt27ZF8+bNsXDhQkRGRmLUqFEwNzfH119/jb59+6Jr166IiIhA//79xQR+QaWkpGDt2rUICAjA4MGD8fLlS/zwww/w9fUVHyMuW7YsVq1aheHDh6NLly5iHyh16tRROc9evXph1qxZSEhIEJMdwNv99OHDhwp3CyxduhQdO3ZE3759kZGRgc2bN6NHjx74888/33nngLpjzh9//AFTU9NCucNOX18fAQEBmDFjBo4cOaIQU2ZmptIxx8zMTOlu7QYNGmiUwP7hhx8wdOhQNGnSBOPGjcPt27fRsWNH2NjYwMnJSayn7XFAHXns2dnZuH37NqZMmYIyZcqgffv2Yp20tDS0aNECDx48wNChQ1GxYkUcO3YM06ZNw6NHj5SOG+vXr8ebN28wZMgQGBsbK/yQ1LNnT7i6uiI0NBSnT5/G2rVrYWdnp3An2pdffomffvoJ3bt3x4QJE3DixAmEhobiypUran8YKolUXX8Bb7epd5k1axZCQ0PFtj4lJQX//vsvTp8+jc8++wxDhw7Fw4cPsW/fPmzYsEFhWm2uqQYOHIhff/0Vn3/+OT755BMcOnQo331S1bFF23PmXr16oXr16ggLC8Pu3bsxd+5c2NjY4Pvvv8enn36KBQsWIDIyEhMnTkTDhg3RvHlzAJq1Y/mZOXMm5s6dC39/f/j7++P06dNo06YNMjIyFOppuz/kZm5ujk6dOmHbtm149uyZwr6xZcsWZGdni8mIrVu3Ii0tDcOHD0eZMmVw8uRJfPfdd/jvv/+wdetWhflmZWXB19cXzZo1w6JFi/J9WkSb9lbX4/+GDRswYMAA+Pr6YsGCBUhLS8OqVavQrFkznDlzRkyydOvWDZcuXcLo0aPh4uKCx48fY9++fYiPj39nZ9/p6enYvn27+Ch1QEAAAgMDlY45qly6dAlNmzZF+fLlMXXqVJibm+PXX39F586dsX37dnTp0gUAcPv2bfz+++/o0aMHXF1dkZiYiO+//x4tWrQQH3euXr06Zs+ejZkzZ2LIkCHw9vYGADRp0gQAxOuChg0bIjQ0FImJiVi6dCmOHj2KM2fOoHTp0mJchf09Xrp0Ce3bt0edOnUwe/ZsGBsb4+bNmwX+MTVfgo7Wr18vAFD5kgMgBAcHK03r7OwsDBgwQGlePj4+Qk5Ojlg+fvx4QV9fX0hOThYEQRCSk5OFUqVKCV5eXsLr168V5pl7ugEDBgjOzs7i/7///rsAQJg7d67CNN27dxdkMplw8+ZNhZiNjIwUys6dOycAEL777rt8P5Pw8HABgPDrr7+KZampqULlypUFAMLBgwfFWKtUqSL4+voqxJ2Wlia4uroKn332Wb7LuXPnjgBA+Oabb4SLFy8KAIR//vlHEARBWLFihWBhYSGkpqYKAwYMEMzNzRWmTUtLU5rf0KFDBTMzM+HNmzeCIAjCmTNnBADC1q1b841D1bx8fX2FSpUq5TudIAhCvXr1hHLlyonfrSAIwt69ewUACt/dP//8IwAQIiMjFaaPiopSWZ5XcHCwAEC4du2a8OTJE+HOnTvC999/LxgbGwv29vZCamqqIAiC0KJFCwGAEBERoTC9/Dv95ZdfxLKMjAyhcePGgoWFhZCSkiIIwv++E1NTU+G///4T6544cUIAIIwfP14sU/W5bdq0SQAgHD58WCn2jh07KtQdMWKEAEA4d+6cWJZ3nzp48KDCNicI6veLhQsXimVZWVmCt7e3AEBYv3691jF37txZMDExEe7duyeWXb58WdDX1xc0aW6aNWsmeHh4KJXL12fdunXCkydPhIcPHwq7d+8WXFxcBJlMJpw6dUoQhILtG/JtIO8r9+cqN3/+fAGAkJiYmO/6vO/tPO+rdOnSQlRUlELdDRs2CHp6euLnIhcRESEAEI4ePSqWARD09PSES5cuCYLw7nZ//PjxAgBhypQpgiAIwuPHjwUjIyOhTZs2Ctvo8uXLxenk7b78/bztftOmTQV9fX2x3Zd/x+vXrxfbT/n65/5My5Yt+8G2++p06tRJACC8ePFCEATldkDTtt3c3Fzldi//nAMCAtS+l5v8O/7333/Fsnv37gkmJiZCly5dxLK8bZO6ed64cUPQ09MTunTpImRnZyvUzf2ZtmjRQmjRooX4v7bteJkyZYRnz56JdXfu3CkAEHbt2qUUY16JiYmCgYGBsGbNGrGsSZMmQqdOnRTqrVu3TgAgLFmyRGke8nVR1Y7njjN3Gz1gwAABgDB//nyx7Pnz54Kpqakgk8mEzZs3i+VXr15VOj9T9f0Jwv/2+Tt37ohleT/frKwsIT09XWG658+fC/b29sIXX3whlj158kTteWHe5V+7dk3l/jdixAjBwsJC4ZiU9/iUkZEh1KpVS/j000+VlpOXumOOtbW1ULdu3XdOL9eiRQuhZs2aat//7bffBADC0qVLxTJnZ2eVbamqz2fIkCGCqalpvjFkZGQIdnZ2Qr169RS+j9WrVwsAFL4zbY4Dqsi3t7yv8uXLC3FxcQp158yZI5ibmwvXr19XKJ86daqgr68vxMfHC4Lwv+3a0tJSePz4sUJd+faRe3sSBEHo0qWLUKZMGfH/s2fPCgCEL7/8UqHexIkTBQDCgQMHxDJNr1E0OZ/Kb36FLb/jsPyVd1vMu05169YV2rVrl+9yRo4cqbJN0PSaKi4uTgAgjBs3TqHewIED1bY/qo4t2p4zDxkyRCzLysoSKlSoIMhkMiEsLEwsl7eNuT8TTdsxVeTnOu3atVM4Fn311VdK55Ga7g/q7N69WwAgfP/99wrln3zyiVC+fHnx2KjqcwsNDRVkMpnCObp8X546dapSfVXbuabtrabH/7zHmJcvXwqlS5cWBg8erDC/hIQEwcrKSix//vz5O8+J8rNt2zYBgHDjxg1BEAQhJSVFMDExEb799luFeqqOt61btxZq164tXjcLwtvjdpMmTYQqVaqIZW/evFE6V7lz545gbGwszJ49Wyw7deqU0jIE4X9teq1atRTyHn/++acAQJg5c6ZYVhTf47fffisAEJ48eaI0z6JS4Ef5VqxYgX379im8dDVkyBCFzLe3tzeys7Nx7949AG+z5i9fvsTUqVOVnuXOr0PIv/76C/r6+hgzZoxC+YQJEyAIAv7++2+Fch8fH4VfK+vUqQNLS0uF0b/ULadcuXIKv7CZmZmJvzrLnT17Fjdu3ECfPn2QlJSEp0+f4unTp0hNTUXr1q1x+PBhjTspq1mzJurUqYNNmzYBePtLb6dOndRmSU1NTcW/X758iadPn8Lb2xtpaWniyGPyO6L27NmjdIu0unnJf7lp0aIFbt++ne/t6o8ePcLZs2cxYMAAcVkA8Nlnn6FGjRoKdbdu3QorKyt89tln4uf09OlTeHh4wMLCQuNbbN3d3VG2bFm4urpi6NChqFy5Mnbv3q3wORkbGyMwMFBhur/++gsODg4ICAgQywwNDTFmzBi8evUKhw4dUqjfuXNnlC9fXvy/UaNG8PLywl9//SWW5f7c3rx5g6dPn+KTTz4BAJw+fVop9rx3n40ePVqMrSD++usvGBgYYPjw4WKZvr6+OP/cNIk5Ozsbe/bsQefOncW7YQCgevXq8PX11SimpKQkWFtbq33/iy++QNmyZeHo6Ih27dqJjxyp6u9I230DeHu7e972bPLkyUr15DGq+rVSTortfPv27di3bx/27t2L9evXo2rVqujWrRuOHTumsKzq1aujWrVqCsuSPxaZd1ktWrRQivfzzz8H8LbD4tztvvyXHvn+v3//fmRkZGDcuHEK0w8ePFhsw9/V7j9//hzZ2dlat/uvX7+GTCb7INt9deR39r18+VLl+5q27e8ybNgwjes2btxY7DQaACpWrIhOnTphz549So+Qv8vvv/+OnJwczJw5U6kj33edA2jTjvfq1UuhHZJv1+/aFgBg8+bN0NPTQ7du3cSygIAA/P333wqP5W7fvh22trYq29uCdHD95Zdfin+XLl0a7u7uMDc3V7hr0t3dHaVLl9ZofTShr68v9gGUk5ODZ8+eISsrC56eniqPaZqoWrUq6tWrp3DnZHZ2NrZt24YOHTooHJNy//38+XO8ePEC3t7eGi1b3TEnJSWlUDvBVbdvenl5KR1zVA3SYG1tjdevX+e73/777794/Pgxhg0bptAnk/xx/dy0PQ6oYmJiIsa8Z88efP/997CwsIC/vz+uX7+usCxvb29YW1srLMvHxwfZ2dlKj/Z069ZNfOwzr7xtj7e3N5KSksRRluXnRUFBQQr15HdF7N69+53rVVKouv7at2+f2rsQcytdujQuXbqEGzduaL1cTa+p5HemjxgxQqGeqjZPTtWxRdtz5txtoL6+Pjw9PSEIAgYNGiSWy9vG3G1gQdox+blO3gEK8p77ANrvD3nJn0rI/TjfnTt3cPz4cQQEBIjHxtyfW2pqKp4+fYomTZpAEAScOXNGab65rwXyo017q8vxf9++fUhOTkZAQIDC56Ovrw8vLy+xbTI1NYWRkRFiYmJ06vIiMjISnp6e4qAX8scF3/U437Nnz3DgwAH07NlTvI5++vQpkpKS4Ovrixs3boiP2RkbG4vfR3Z2NpKSksTH4TQ5Psnb9BEjRiic/7Zr1w7VqlVT2Z4V5vcovxtr586d763z9AI/yteoUaNC6wQ398Us8L+LP/kGJ39sR9vb/+/duwdHR0elk4zq1auL7+cXhzyWd2349+7dQ+XKlZVOKt3d3RX+lx8I8utg7cWLF/leoOfWp08fLF68GOPHj8exY8fyffbz0qVLmD59Og4cOCAeyHMvEwBcXV0RFBSEJUuWIDIyEt7e3ujYsaP4zLbc0aNHERwcjNjYWKWTpRcvXiidCMnJP+8qVaoovZd3Z71x4wZevHgBOzs7lfN6/Pix2nXNbfv27bC0tIShoSEqVKig8jGJ8uXLK3Wwee/ePVSpUkXpIkjdtqNqnapWrYpff/1V/P/Zs2cICQnB5s2bleJXldDLO083Nzfo6elp/Ay1Ovfu3UO5cuWUHlPLu71qGvOTJ0/w+vVrtd+rpok0IZ9Hg2bOnAlvb2/o6+vD1tYW1atXz7fDXG32DeDtbdKa9G8ljzG/C0gptvPmzZsrPErdvXt3VKlSBaNHj0ZcXJy4rCtXrqg98c+7LFWP+sjL2rdvDy8vL7Fc3mbJH/WTfwZ5tykjIyOULVsW9+/ff2e7L5+Xtu1+VlYWzMzMPth2X5VXr14BgNoLak3b9nfR5vEvdW1iWloanjx58s5b5nO7desW9PT0lBKl76JtO/6ubTI/8v6vkpKSxD5Q6tevj4yMDGzdulVMWN66dQvu7u6F2uG3iYmJ0n5tZWWFChUqKG2fVlZWBeq/Lq+ffvoJixcvxtWrVxUeJSrIo4K9evXCV199hQcPHqB8+fKIiYnB48ePlYb1/vPPPzF37lycPXtWoR8hTRN8qo45lpaWahO8ulC3b9ra2hb5McfQ0BCVKlVSKNP2OKCKvr6+Uuz+/v6oUqUKpk2bhu3bt4vLOn/+fIGOOXL57ZuWlpa4d+8e9PT0lEZYdHBwQOnSpZX29ZJM3fWXPOGRn9mzZ6NTp06oWrUqatWqBT8/P3z++ecaJbU0vaaSfxd5v09VIy7LqfrutT1nzruNWFlZwcTERKmbGSsrK6V+qnRtx9Tte2XLllU6pmu7P+RlYGCAXr16YeXKlWLbKE9SyR/jA4D4+HjMnDkTf/zxh1Jbn/dzMzAwUNnFhCratLe6HP/l50rqBnqwtLQE8Dbps2DBAkyYMAH29vbiwAv9+/d/53lFcnIy/vrrL4waNQo3b94Uy5s2bYrt27fj+vXrqFq1qsppb968CUEQMGPGDMyYMUNlncePH6N8+fLIycnB0qVLsXLlSty5c0chGZdfFxFy6s6hAaBatWo4cuSIQllhf4+9evXC2rVr8eWXX2Lq1Klo3bo1unbtiu7du2s9yqemJBlCR12WVF9fX2V5fheqRaGo45BnHb/55hu1zyznTRbkJyAgANOmTcPgwYNRpkwZtf1sJCcno0WLFrC0tMTs2bPh5uYGExMTnD59GlOmTFHIhi5evBgDBw7Ezp07sXfvXowZM0bs46hChQq4desWWrdujWrVqmHJkiVwcnKCkZER/vrrL3z77beFllnNycmBnZ2d2gy2uoY9r7wX7Krkzh4XpZ49e+LYsWOYNGkS6tWrBwsLC+Tk5MDPz0+jz02K4aILGrOmypQpk+/FUu3atbUa3UrTfUNb8hh17U8vr8LazvOysLCAl5cXdu7cKY7OkZOTg9q1a2PJkiUqp8ndDwmQ/36hrq1U5V3tft7tWt7evq/2v6S1+6pcvHgRdnZ24ombKu9q2zVR2G2lujZN2zuqCouu28KNGzfETtJVnZBHRkYq3UmXH20/F3Vxa7I+BfkOfvnlFwwcOBCdO3fGpEmTYGdnB319fYSGhoo/KOqiV69emDZtGrZu3Ypx48bh119/hZWVFfz8/MQ6//zzDzp27IjmzZtj5cqVKFeuHAwNDbF+/XqVHQTnpe6YU61aNZw9exYZGRmFMiKcfBCU/C7K8/P8+XOYmZkV2r6n7XFAUxUqVIC7u7vCXR85OTn47LPPVN59DEDpAlCXY07efbMg50lStTvvU/PmzXHr1i3xOLB27Vp8++23iIiIULjj6H1T9d1re/6pahvRZLspqnYsL233B1X69euH5cuXY9OmTZg4cSI2bdqEGjVqiOcW2dnZ+Oyzz/Ds2TNMmTIF1apVg7m5OR48eICBAwcqfW657+zJT0HbW03IY9uwYYPKBFPuH3PGjRuHDh064Pfff8eePXswY8YMhIaG4sCBA6hfv77aZWzduhXp6elYvHixUif4wNtjdUhISL7xTZw4Ue3TIPJ2fv78+ZgxYwa++OILzJkzBzY2NtDT08O4ceOK5A6kwv4eTU1NcfjwYRw8eBC7d+9GVFQUtmzZgk8//RR79+7V6hpAU0WamLK2tlYa4SsjIwOPHj3SaX7yu1wuXryo1cHd2dkZ+/fvx8uXLxUy/PJH1zTtaFmT5Vy8eBGCICgcFK9du6ZQT74elpaWhTKEdMWKFdG0aVPExMRg+PDhan+BjYmJQVJSEnbs2CF29gcoj2gmV7t2bdSuXRvTp0/HsWPH0LRpU0RERGDu3LnYtWsX0tPT8ccffyj8OqHJ7d/yz1vVLcSqPqv9+/ejadOm7y1xlJuzszPOnz+PnJwchZ1d3bajap2uX78udsL3/PlzREdHIyQkBDNnzsx3utzv5f615ubNm8jJyXlnx37v4uzsjOjoaLx69Urhgjjvd6BpzGXLloWpqalG36s61apVE39lLQya7hvaunPnDmxtbfNNGBWX7TwrKwvA21/szc3N4ebmhnPnzqF169ZFluSU3x0g/wwuXryo0O5nZGQo/aKr6ngB/O/RF23bfQMDA6Smpn6w7X5esbGxuHXr1juHngfyb9uBwk1+q2sTzczMxP1H3Xef9+4GNzc35OTk4PLly+/siDY3bdtxXUVGRsLQ0BAbNmxQOmE7cuQIli1bhvj4eFSsWBFubm44ceIEMjMz1XaoLv+lPe9nUxR3feReVu7OVDVZ1rZt21CpUiXs2LFDYdsJDg5WqKftduXq6opGjRphy5YtGDVqFHbs2IHOnTvD2NhYrLN9+3aYmJhgz549CuXr16/XaBnqjjkdOnRAbGwstm/frvAIqC6ys7OxceNGmJmZiSONaevOnTviHSnq5D7m5L7bIDMzE3fu3EHdunXFsqI8DmRlZYnHAPmyXr16VSTtXl7Ozs7IycnBjRs3FD6vxMREJCcnK+zrhX2NUtLY2NggMDAQgYGBePXqFZo3b45Zs2aJiSl124Wm11Ty7+LOnTsKifrcd6i8iy7nzLrStB1TJfe+l/vuxCdPniglvgtjf/Dy8oKbmxs2btyIzz77DJcuXcK8efPE9y9cuIDr16/jp59+Ung0uCDd7QDat7eaHP/zkp8r2dnZafQZubm5YcKECZgwYQJu3LiBevXqYfHixfjll1/UThMZGYlatWqp/G6///57bNy4UW1iSv79GhoavjO+bdu2oVWrVvjhhx8UypOTkxV+2M5vXwPenk/mvYPs2rVrOp+7aPM96unpoXXr1mjdujWWLFmC+fPn4+uvv8bBgweLpE0vmvuw/p+bm5vSs7KrV6/W+deINm3aoFSpUggNDVUaejm/XzL9/f2RnZ2N5cuXK5R/++23kMlkaNu2rU7xqFrOw4cPFYZbTEtLw+rVqxXqeXh4wM3NDYsWLVI4eMvlHipdU3PnzkVwcHC+z27LT5Rzf1YZGRlYuXKlQr2UlBTxYlaudu3a0NPTE2/3UzWvFy9eaHQyWK5cOdSrVw8//fSTwu2k+/btw+XLlxXq9uzZE9nZ2ZgzZ47SfLKyslRezBQmf39/JCQkKPRzkZWVhe+++w4WFhZo0aKFQv3ff/9dYQjPkydP4sSJE+I2pupzA5DvKBzyIXvlvvvuOwAo8Hbr7++PrKwsrFq1SizLzs4W5y+nacz6+vrw9fXF77//jvj4eLH8ypUr2LNnj0YxNW7cGM+fPy+0vk8AzfYNbcXFxaFx48b51ikO2/mzZ89w7NgxODg4iI8J9uzZEw8ePMCaNWuU6r9+/Rqpqak6LSu38+fPA3jbb5ORkRGmTp2q0O7/8MMPSkMWu7m54fjx4wq3z//5559ISkoSf7XUpt03NTWFIAgfdLsvd+/ePQwcOBBGRkaYNGmS2nqatO3A20daC6ttjY2NVXhs9f79+9i5cyfatGkjti1ubm548eKFuN0Ab/toyzuCVufOnaGnp4fZs2cr/dr4rnMAbdpxXckfj+zVqxe6d++u8JJ/L/I+77p164anT58qbZ+518XZ2Rn6+vpK51F5j9mFQX4xkHtZ8j783kXVMeLEiROIjY1VqCfv30+bbatXr144fvw41q1bh6dPnyo9xqevrw+ZTKbQvty9e1fjUeXUHXOGDRuGcuXKYcKECQr9Jck9fvxYTOTmJzs7G2PGjMGVK1cwZsyYfO9mzM/p06fFUZrU8fT0RNmyZREREaEwEtiPP/6o9JkX1XHg+vXruHbtmkISrGfPnoiNjVV5HpCcnKzUJhWEv78/AOXzE/mdYblHDSvsa5SSJO8jbBYWFqhcubLScQBQ3l81vaaS302St73Ke46ZH13OmXWlaTumio+PDwwNDfHdd98pTK8qzsLaH/r27YszZ84gODgYMplMYYRiVesiCAKWLl2q0bzV0ba91eT4n5evry8sLS0xf/58lSNMys+V0tLSlM4J3dzcUKpUKYXtOK/79+/j8OHD6Nmzp9Jxunv37ggMDMTNmzdx4sQJldPb2dmhZcuW+P7771UmsXOfy+nr6yttu1u3blW4TgTU72uenp6ws7NDRESEwjr9/fffuHLlyjtHnVVH0+9RPtJ3bvIfBfP7jAuiSO+Y+vLLLzFs2DB069YNn332Gc6dO4c9e/bo/PiLpaUlvv32W3z55Zdo2LAh+vTpA2tra5w7dw5paWlqT6A6dOiAVq1a4euvv8bdu3dRt25d7N27Fzt37sS4ceN0GpZZlcGDB2P58uXo378/4uLiUK5cOWzYsEGps2U9PT2sXbsWbdu2Rc2aNREYGIjy5cvjwYMHOHjwICwtLbFr1y6tlt2iRYt3nlw3adIE1tbWGDBgAMaMGQOZTIYNGzYo7TQHDhzAqFGj0KNHD1StWhVZWVniL8DyDl3btGkDIyMjdOjQAUOHDsWrV6+wZs0a2NnZafRrU2hoKNq1a4dmzZrhiy++wLNnz/Ddd9+hZs2aChdtLVq0wNChQxEaGoqzZ8+iTZs2MDQ0xI0bN7B161YsXbq0UIZzVmfIkCH4/vvvMXDgQMTFxcHFxQXbtm3D0aNHER4ervSMfeXKldGsWTMMHz4c6enpCA8PR5kyZcRbdi0tLcWhvDMzM1G+fHns3btX7V1rwNtfSjt27Ag/Pz/Exsbil19+QZ8+fRRO/HTRoUMHNG3aFFOnTsXdu3dRo0YN7NixQ+nZc21iDgkJQVRUFLy9vTFixAjx4q9mzZoKF53qtGvXDgYGBti/f79Wj7zkR5N9QxuPHz/G+fPnlTqlV+V9b+fbtm2DhYUFBEHAw4cP8cMPP+D58+eIiIgQf5H5/PPP8euvv2LYsGE4ePAgmjZtiuzsbFy9ehW//vor9uzZU+B+A2/cuCG2+7Vr10ZcXBwMDQ1x9epVjBkzBitXroSrq6vCNvTll19i27Zt4r6yatUqHD58GG5ubtDX18fJkyfRsGFD8aT3559/xsGDB9W2+6ampnBwcPjg2v3Tp0/jl19+QU5ODpKTk3Hq1Cls375dbM/z6yNEk7YdeJtE279/P5YsWQJHR0e4uroq9CWmjVq1asHX11dhuGgACr9G9u7dG1OmTEGXLl0wZswYcWjoqlWrKpzUVq5cGV9//TXmzJkDb29vdO3aFcbGxjh16hQcHR0RGhqqMgZt23FdnDhxAjdv3sSoUaNUvl++fHk0aNAAkZGRmDJlCvr374+ff/4ZQUFBOHnyJLy9vZGamor9+/djxIgR6NSpE6ysrNCjRw989913kMlkcHNzw59//qlxn3PaaNOmDSpWrIhBgwZh0qRJ0NfXx7p161C2bFmFHxpUad++PXbs2IEuXbqgXbt2uHPnDiIiIlCjRg2Fds7U1BQ1atTAli1bULVqVdjY2KBWrVr59h/Xs2dPTJw4ERMnToSNjY3SL7Tt2rXDkiVL4Ofnhz59+uDx48dYsWIFKleuXKBjjrW1NX777Tf4+/ujXr166Nevn9iJ7+nTp7Fp0yalHydevHgh/kqflpaGmzdvYseOHbh16xZ69+6t8ocHTcTFxeHZs2fo1KlTvvUMDQ0xd+5cDB06FJ9++il69eqFO3fuYP369Up9TBXGcSArK0tc35ycHNy9excRERHIyclRuBNh0qRJ+OOPP9C+fXsMHDgQHh4eSE1NxYULF7Bt2zbcvXu30B6Lr1u3LgYMGIDVq1eL3VecPHkSP/30Ezp37oxWrVqJdQv7GqUkqVGjBlq2bAkPDw/Y2Njg33//xbZt2xTaL/n2PmbMGPj6+kJfXx+9e/fW+JrKw8MD3bp1Q3h4OJKSkvDJJ5/g0KFDYqJXkzv1dDln1pWm7ZgqZcuWxcSJExEaGor27dvD398fZ86cwd9//620PRXW/tCvXz/Mnj0bO3fuRNOmTRWeoqhWrRrc3NwwceJEPHjwAJaWlti+fXuB+xXUtr3V5Pifl6WlJVatWoXPP/8cDRo0QO/evcXj0O7du9G0aVMsX74c169fR+vWrdGzZ0/UqFEDBgYG+O2335CYmIjevXurnf/GjRshCAI6duyo8n1/f38YGBggMjJS7XnPihUr0KxZM9SuXRuDBw9GpUqVkJiYiNjYWPz33384d+4cgLfb1OzZsxEYGIgmTZrgwoULiIyMVGqP3dzcULp0aURERKBUqVIwNzeHl5cXXF1dsWDBAgQGBqJFixYICAhAYmIili5dChcXF4wfP17teuZH0+9x9uzZOHz4MNq1awdnZ2c8fvwYK1euRIUKFXS++/eddB3OTz68o3yYdlWys7OFKVOmCLa2toKZmZng6+sr3Lx5U2nYUnXzUjdU8h9//CE0adJEMDU1FSwtLYVGjRoJmzZtEt9XNSziy5cvhfHjxwuOjo6CoaGhUKVKFeGbb75RGNZTEN4Obzly5Eildckbszr37t0TOnbsKJiZmQm2trbC2LFjxSHf867HmTNnhK5duwplypQRjI2NBWdnZ6Fnz55CdHR0vsvQZNhwQXj7OZibmyuUHT16VPjkk08EU1NTwdHRUZg8ebKwZ88ehfhu374tfPHFF4Kbm5tgYmIi2NjYCK1atRL279+vMK8//vhDqFOnjmBiYiK4uLgICxYsEIfAzj20tDrbt28XqlevLhgbGws1atQQduzYoXbY8NWrVwseHh6CqampUKpUKaF27drC5MmThYcPH+a7DPnwse8a6jK/oZ4TExOFwMBAwdbWVjAyMhJq166tNKRn7u9k8eLFgpOTk2BsbCx4e3sL586dU6j733//CV26dBFKly4tWFlZCT169BAePnyodvjcy5cvC927dxdKlSolWFtbC6NGjVIYNlQQdB/eOCkpSfj8888FS0tLwcrKSvj888/FIeVzr6OmMQuCIBw6dEjw8PAQjIyMhEqVKgkRERFqhyJXpWPHjkLr1q0VyuTr865h7guyb7xruG+5VatWCWZmZuIQ8+/yPrfz3C9zc3OhcePGwq+//qpUPyMjQ1iwYIFQs2ZNwdjYWLC2thY8PDyEkJAQ4cWLF2K9vO2hvK2eOXNmvm12QECAQrsfHBwsGBgYCDKZTLC3txeGDx8urFixQmkeixcvFmxtbQUAQq1atYR///1XHJpe3u6bmJgIAIRKlSqJ7b58/XN/ps7OzkKfPn0+uHZf/jIwMBBsbGwELy8vYdq0aQrDP8vlbQc0bduvXr0qNG/eXDA1NRWQa6jr/NpTVfu4/HP95ZdfhCpVqgjGxsZC/fr1lT4TQRCEvXv3CrVq1RKMjIwEd3d34ZdfflHbbqxbt06oX7++uO22aNFC2Ldvn/i+fJvJTdt2PC9VbV1uo0ePFgAIt27dUltn1qxZAgDxmJCWliZ8/fXXgqurq2BoaCg4ODgI3bt3V5jHkydPhG7duglmZmaCtbW1MHToUOHixYtKbbSqNk3+Wahq15ydnZWGi4+LixO8vLwEIyMjoWLFisKSJUuUhvKWzzP355uTkyPMnz9fcHZ2Fr/jP//8U2U7d+zYMfH4kPszze8Y0bRpUwGA8OWXX6p8/4cffhC3r2rVqgnr168v8DFH7uHDh8L48eOFqlWrCiYmJoKZmZng4eEhzJs3T6GtbNGihcL+aWFhIVSpUkXo16+fsHfvXpXzVvUdqDJlyhShYsWKSu2WOitXrhRcXV0FY2NjwdPTUzh8+LDKfULT44Aq8qHJc78sLS2F1q1bK7UngvD2HHzatGlC5cqVBSMjI8HW1lZo0qSJsGjRIiEjI0MQhPz3P3Vtj6rtMzMzUwgJCRH3KycnJ2HatGkKQ7sLgubXKJqeT72rjSgs77r+UrXP512nuXPnCo0aNRJKly4tmJqaCtWqVRPmzZsnfheCIAhZWVnC6NGjhbJlywoymUxhf9L0mio1NVUYOXKkYGNjI1hYWAidO3cWrl27JgAQwsLCxHr5HVu0PWfOOw9N20Zt2jFVsrOzhZCQEKFcuXKCqamp0LJlS+HixYsqzyM02R800bBhQwGAsHLlSqX3Ll++LPj4+AgWFhaCra2tMHjwYOHcuXMaHzvk7+Vdd03bW02P/6r2YUF4u9/5+voKVlZWgomJieDm5iYMHDhQ+PfffwVBEISnT58KI0eOFKpVqyaYm5sLVlZWgpeXl8pz3txq164tVKxYMd86LVu2FOzs7ITMzEyxXcp7vnDr1i2hf//+goODg2BoaCiUL19eaN++vbBt2zaxzps3b4QJEyaI20TTpk2F2NhYle3xzp07hRo1aggGBgZKy9uyZYt4zmNjYyP07dtX+O+//xSmL4rvMTo6WujUqZPg6OgoGBkZCY6OjkJAQIBw/fr1fD+/gpAJwnvuWZyIKB///PMPWrZsiatXr6rsQFhq9evXR8uWLfHtt99KHQoRERVQcT7mpKenw8XFBVOnTsXYsWOlDoeowM6ePYv69evjl19+URhFjoioSPuYIiLSlre3N9q0aYOFCxdKHYqSqKgo3LhxA9OmTZM6FCIiKgTF+Zizfv16GBoaYtiwYVKHQqS1vH1JAm/7XdLT01MYhImICAB4xxQREREREREVmpCQEMTFxaFVq1YwMDDA33//jb///lvs94+IKDcmpoiIiIiIiKjQ7Nu3DyEhIbh8+TJevXqFihUr4vPPP8fXX38NA4MiHX+LiEogJqaIiIiIiIiIiEgS7GOKiIiIiIiIiIgkwcQUERERERERERFJgg/4qpCTk4OHDx+iVKlSkMlkUodDRFToBEHAy5cv4ejoCD09/kZRUDxuENGHjseNwsXjBhF96LQ5bjAxpcLDhw/h5OQkdRhEREXu/v37qFChgtRhlHg8bhDRx4LHjcLB4wYRfSw0OW4wMaVCqVKlALz9AC0tLSWOhoio8KWkpMDJyUls76hgeNwgog8djxuFi8cNIvrQaXPcYGJKBfnttJaWljxQENEHjY8PFA4eN4joY8HjRuHgcYOIPhaaHDf4gDgREREREREREUmCiSkiIiIiIiIiIpIEE1NERERERERERCQJJqaIiIiIiIiIiEgSTEwREREREREREZEkmJgiIiIiIiIiIiJJMDFFRERERERERESSYGKKiIiIiIiIiIgkwcQUERERERERERFJgokpIiIiIiIiIiKSBBNTREREREREREQkCSamiIiIiIiIiIhIEsUiMbVixQq4uLjAxMQEXl5eOHnypNq6a9asgbe3N6ytrWFtbQ0fHx+l+gMHDoRMJlN4+fn5FfVqEBERERFRCXP48GF06NABjo6OkMlk+P333985TUxMDBo0aABjY2NUrlwZP/74Y5HHSUT0oZI8MbVlyxYEBQUhODgYp0+fRt26deHr64vHjx+rrB8TE4OAgAAcPHgQsbGxcHJyQps2bfDgwQOFen5+fnj06JH42rRp0/tYHSIiIiIiKkFSU1NRt25drFixQqP6d+7cQbt27dCqVSucPXsW48aNw5dffok9e/YUcaRERB8mmSAIgpQBeHl5oWHDhli+fDkAICcnB05OThg9ejSmTp36zumzs7NhbW2N5cuXo3///gDe3jGVnJys0a8dqqSkpMDKygovXryApaWlTvMgIirO2M4VLn6eRPSh+1jaOZlMht9++w2dO3dWW2fKlCnYvXs3Ll68KJb17t0bycnJiIqK0mg5H8vnSUQfL23aOUnvmMrIyEBcXBx8fHzEMj09Pfj4+CA2NlajeaSlpSEzMxM2NjYK5TExMbCzs4O7uzuGDx+OpKSkQo2diIiIiIg+PrGxsQrXLwDg6+ur8fULEREpMpBy4U+fPkV2djbs7e0Vyu3t7XH16lWN5jFlyhQ4OjoqHBz8/PzQtWtXuLq64tatW/jqq6/Qtm1bxMbGQl9fX2ke6enpSE9PF/9PSUnRcY2IiIiIiOhDlpCQoPL6JSUlBa9fv4apqanSNLzeICJST9LEVEGFhYVh8+bNiImJgYmJiVjeu3dv8e/atWujTp06cHNzQ0xMDFq3bq00n9DQUISEhBRKTB06FMpsiIg0tmuX1BEQERFRfgrzeoN95xLR+xYQEFCk85f0UT5bW1vo6+sjMTFRoTwxMREODg75Trto0SKEhYVh7969qFOnTr51K1WqBFtbW9y8eVPl+9OmTcOLFy/E1/3797VbESIiIiIi+ig4ODiovH6xtLRUebcUwOsNIqL8SJqYMjIygoeHB6Kjo8WynJwcREdHo3HjxmqnW7hwIebMmYOoqCh4enq+czn//fcfkpKSUK5cOZXvGxsbw9LSUuFFRERERESUV+PGjRWuXwBg3759+V6/8HqDiEg9SRNTABAUFIQ1a9bgp59+wpUrVzB8+HCkpqYiMDAQANC/f39MmzZNrL9gwQLMmDED69atg4uLCxISEpCQkIBXr14BAF69eoVJkybh+PHjuHv3LqKjo9GpUydUrlwZvr6+kqwjEREREREVT69evcLZs2dx9uxZAMCdO3dw9uxZxMfHA3h7t5N89G8AGDZsGG7fvo3Jkyfj6tWrWLlyJX799VeMHz9eivCJiEo8yfuY6tWrF548eYKZM2ciISEB9erVQ1RUlNihYHx8PPT0/pc/W7VqFTIyMtC9e3eF+QQHB2PWrFnQ19fH+fPn8dNPPyE5ORmOjo5o06YN5syZA2Nj4/e6bkREREREVLz9+++/aNWqlfh/UFAQAGDAgAH48ccf8ejRIzFJBQCurq7YvXs3xo8fj6VLl6JChQpYu3YtfwQnItKRTBAEQeogipuUlBRYWVnhxYsXWt9my87Pieh906Xz84K0c6SMnycRfejYzhWugnye7PyciN43XTo/16adk/xRPiIiIiIiIiIi+jgxMUVERERERERERJJgYoqIiIiIiIiIiCTBxBQREREREREREUmCiSkiIiIiIiIiIpIEE1NERERERERERCQJJqaIiIiIiIiIiEgSTEwREREREREREZEkmJgiIiIiIiIiIiJJMDFFRERERERERESSYGKKiIiIiIiIiIgkwcQUERERERERERFJgokpIiIiIiIiIiKSBBNTREREREREREQkCSamiIiIiIiIiIhIEkxMERERERERERGRJJiYIiIiIiIiIiIiSTAxRUREREREREREkmBiioiIiIiIiIiIJMHEFBERERERERERSYKJKSIiIiIiIiIikgQTU0REREREREREJAkmpoiIiIiIiIiISBJMTBERERERERERkSSYmCIiIiIiIiIiIkkwMUVERMXKihUr4OLiAhMTE3h5eeHkyZNq665Zswbe3t6wtraGtbU1fHx8VNa/cuUKOnbsCCsrK5ibm6Nhw4aIj48X33/z5g1GjhyJMmXKwMLCAt26dUNiYmKRrB8REREREf0PE1NERFRsbNmyBUFBQQgODsbp06dRt25d+Pr64vHjxyrrx8TEICAgAAcPHkRsbCycnJzQpk0bPHjwQKxz69YtNGvWDNWqVUNMTAzOnz+PGTNmwMTERKwzfvx47Nq1C1u3bsWhQ4fw8OFDdO3atcjXl4iIiIjoYycTBEGQOojiJiUlBVZWVnjx4gUsLS21mrZDhyIKiohIjV27tJ+mIO1cUfLy8kLDhg2xfPlyAEBOTg6cnJwwevRoTJ069Z3TZ2dnw9raGsuXL0f//v0BAL1794ahoSE2bNigcpoXL16gbNmy2LhxI7p37w4AuHr1KqpXr47Y2Fh88skn71xucf08iYgKC9u5wlWQz3PTpk1FFBURkWoBAQFaT6NNO8c7poiIqFjIyMhAXFwcfHx8xDI9PT34+PggNjZWo3mkpaUhMzMTNjY2AN4mtnbv3o2qVavC19cXdnZ28PLywu+//y5OExcXh8zMTIXlVqtWDRUrVlS73PT0dKSkpCi8iIiIiIhIe0xMERFRsfD06VNkZ2fD3t5eodze3h4JCQkazWPKlClwdHQUk0yPHz/Gq1evEBYWBj8/P+zduxddunRB165dcejQIQBAQkICjIyMULp0aY2XGxoaCisrK/Hl5OSk5doSEREREREAGEgdABERUWEICwvD5s2bERMTI/YflZOTAwDo1KkTxo8fDwCoV68ejh07hoiICLRo0UKnZU2bNg1BQUHi/ykpKUxOERERERHpgIkpIiIqFmxtbaGvr680Gl5iYiIcHBzynXbRokUICwvD/v37UadOHYV5GhgYoEaNGgr1q1evjiNHjgAAHBwckJGRgeTkZIW7pvJbrrGxMYyNjbVZPSIiIiIiUoGP8hERUbFgZGQEDw8PREdHi2U5OTmIjo5G48aN1U63cOFCzJkzB1FRUfD09FSaZ8OGDXHt2jWF8uvXr8PZ2RkA4OHhAUNDQ4XlXrt2DfHx8fkul4iIiIiICo53TBERUbERFBSEAQMGwNPTE40aNUJ4eDhSU1MRGBgIAOjfvz/Kly+P0NBQAMCCBQswc+ZMbNy4ES4uLmKfUBYWFrCwsAAATJo0Cb169ULz5s3RqlUrREVFYdeuXYiJiQEAWFlZYdCgQQgKCoKNjQ0sLS0xevRoNG7cWKMR+YiIiIiISHdMTBERUbHRq1cvPHnyBDNnzkRCQgLq1auHqKgosUP0+Ph46On972bfVatWISMjA927d1eYT3BwMGbNmgUA6NKlCyIiIhAaGooxY8bA3d0d27dvR7NmzcT63377LfT09NCtWzekp6fD19cXK1euLPoVJiIiIiL6yMkEQRCkDqK4SUlJgZWVFV68eAFLS0utpu3QoYiCIiJSY9cu7acpSDtHyvh5EtGHju1c4SrI57lp06YiioqISLWAgACtp9GmnWMfU0REREREREREJAkmpoiIiIiIiIiISBJMTBERERERERERkSSYmCIiIiIiIiIiIkkwMUVERERERERERJJgYoqIiIiIiIiIiCTBxBQREREREREREUmCiSkiIiIiIiIiIpIEE1NERERERERERCQJJqaIiIiIiIiIiEgSTEwREREREREREZEkmJgiIiIiIiIiIiJJMDFFRERERERERESSYGKKiIiIiIiIiIgkwcQUERERERERERFJgokpIiIiIiIiIiKSBBNTREREREREREQkCSamiIiIiIiIiIhIEkxMERERERERERGRJJiYIiIiIiIiIiIiSTAxRUREREREREREkmBiioiIiIiIiIiIJMHEFBERERERERERSYKJKSIiIiIiIiIikgQTU0REREREREREJAkmpoiIiIiIiIiISBJMTBERERERERERkSSYmCIiIiIiIiIiIkkwMUVERERERERERJJgYoqIiIiIiIiIiCRRLBJTK1asgIuLC0xMTODl5YWTJ0+qrbtmzRp4e3vD2toa1tbW8PHxUaovCAJmzpyJcuXKwdTUFD4+Prhx40ZRrwYREREREZVA2lyPAEB4eDjc3d1hamoKJycnjB8/Hm/evHlP0RIRfVgkT0xt2bIFQUFBCA4OxunTp1G3bl34+vri8ePHKuvHxMQgICAABw8eRGxsLJycnNCmTRs8ePBArLNw4UIsW7YMEREROHHiBMzNzeHr68uDBRERERERKdD2emTjxo2YOnUqgoODceXKFfzwww/YsmULvvrqq/ccORHRh0HyxNSSJUswePBgBAYGokaNGoiIiICZmRnWrVunsn5kZCRGjBiBevXqoVq1ali7di1ycnIQHR0N4O3dUuHh4Zg+fTo6deqEOnXq4Oeff8bDhw/x+++/v8c1IyIiIiKi4k7b65Fjx46hadOm6NOnD1xcXNCmTRsEBAS88y4rIiJSTdLEVEZGBuLi4uDj4yOW6enpwcfHB7GxsRrNIy0tDZmZmbCxsQEA3LlzBwkJCQrztLKygpeXl8bzJCIiIiKiD58u1yNNmjRBXFycmIi6ffs2/vrrL/j7+7+XmImIPjQGUi786dOnyM7Ohr29vUK5vb09rl69qtE8pkyZAkdHR/FgkpCQIM4j7zzl7+WVnp6O9PR08f+UlBSN14GIiIiIiEomXa5H+vTpg6dPn6JZs2YQBAFZWVkYNmxYvo/y8XqDiEg9yR/lK4iwsDBs3rwZv/32G0xMTHSeT2hoKKysrMSXk5NTIUZJREREREQfipiYGMyfPx8rV67E6dOnsWPHDuzevRtz5sxROw2vN4iI1JM0MWVrawt9fX0kJiYqlCcmJsLBwSHfaRctWoSwsDDs3bsXderUEcvl02kzz2nTpuHFixfi6/79+7qsDhERERERlSC6XI/MmDEDn3/+Ob788kvUrl0bXbp0wfz58xEaGoqcnByV0/B6g4hIPUkTU0ZGRvDw8BA7LgcgdmTeuHFjtdMtXLgQc+bMQVRUFDw9PRXec3V1hYODg8I8U1JScOLECbXzNDY2hqWlpcKLiIiIiIg+bLpcj6SlpUFPT/EySl9fH8DbgZhU4fUGEZF6kvYxBQBBQUEYMGAAPD090ahRI4SHhyM1NRWBgYEAgP79+6N8+fIIDQ0FACxYsAAzZ87Exo0b4eLiIvYbZWFhAQsLC8hkMowbNw5z585FlSpV4OrqihkzZsDR0RGdO3eWajWJiIiIiKgY0vZ6pEOHDliyZAnq168PLy8v3Lx5EzNmzECHDh3EBBUREWlO8sRUr1698OTJE8ycORMJCQmoV68eoqKixA4I4+PjFX6RWLVqFTIyMtC9e3eF+QQHB2PWrFkAgMmTJyM1NRVDhgxBcnIymjVrhqioqAL1Q0VERERERB8eba9Hpk+fDplMhunTp+PBgwcoW7YsOnTogHnz5km1CkREJZpMUHe/6UcsJSUFVlZWePHihda32XboUERBERGpsWuX9tMUpJ0jZfw8iehDx3aucBXk89y0aVMRRUVEpFpAQIDW02jTzpXoUfmIiIiIiIiIiKjkYmKKiIiIiIiIiIgkwcQUERERERERERFJgokpIiIiIiIiIiKSBBNTREREREREREQkCSamiIiIiIiIiIhIEkxMERERERERERGRJJiYIiIiIiIiIiIiSTAxRUREREREREREkmBiioiIiIiIiIiIJMHEFBERERERERERSYKJKSIiIiIiIiIikgQTU0REREREREREJAkDqQMgIqKS7b///sMff/yB+Ph4ZGRkKLy3ZMkSiaIiIiIiIqKSgIkpIiLSWXR0NDp27IhKlSrh6tWrqFWrFu7evQtBENCgQQOpwyMiIiIiomKOj/IREZHOpk2bhokTJ+LChQswMTHB9u3bcf/+fbRo0QI9evSQOjwiIiIiIirmmJgiIiKdXblyBf379wcAGBgY4PXr17CwsMDs2bOxYMECiaMjIiIiIqLijokpIiLSmbm5udivVLly5XDr1i3xvadPn0oVFhERERERlRDsY4qIiHT2ySef4MiRI6hevTr8/f0xYcIEXLhwATt27MAnn3widXhERERERFTMMTFFREQ6W7JkCV69egUACAkJwatXr7BlyxZUqVKFI/IREREREdE7MTFFREQ6q1Spkvi3ubk5IiIiJIyGiIiIiIhKGvYxRUREOvvyyy8RExMjdRhERERERFRCMTFFREQ6e/LkCfz8/ODk5IRJkybh3LlzBZ7nihUr4OLiAhMTE3h5eeHkyZNq665Zswbe3t6wtraGtbU1fHx8lOoPHDgQMplM4eXn56dQx8XFRalOWFhYgdeFiIiIiIjyx8QUERHpbOfOnXj06BFmzJiBU6dOoUGDBqhZsybmz5+Pu3fvaj2/LVu2ICgoCMHBwTh9+jTq1q0LX19fPH78WGX9mJgYBAQE4ODBg4iNjYWTkxPatGmDBw8eKNTz8/PDo0ePxNemTZuU5jV79myFOqNHj9Y6fiIiIiIi0g4TU0REVCDW1tYYMmQIYmJicO/ePQwcOBAbNmxA5cqVtZ7XkiVLMHjwYAQGBqJGjRqIiIiAmZkZ1q1bp7J+ZGQkRowYgXr16qFatWpYu3YtcnJyEB0drVDP2NgYDg4O4sva2lppXqVKlVKoY25urnX8RERERESkHSamiIioUGRmZuLff//FiRMncPfuXdjb22s1fUZGBuLi4uDj4yOW6enpwcfHB7GxsRrNIy0tDZmZmbCxsVEoj4mJgZ2dHdzd3TF8+HAkJSUpTRsWFoYyZcqgfv36+Oabb5CVlaV2Oenp6UhJSVF4ERERERGR9piYIiKiAjl48CAGDx4Me3t7DBw4EJaWlvjzzz/x33//aTWfp0+fIjs7WymhZW9vj4SEBI3mMWXKFDg6Oiokt/z8/PDzzz8jOjoaCxYswKFDh9C2bVtkZ2eLdcaMGYPNmzfj4MGDGDp0KObPn4/JkyerXU5oaCisrKzEl5OTk1brSkREREREbxlIHQAREZVc5cuXx7Nnz+Dn54fVq1ejQ4cOMDY2liSWsLAwbN68GTExMTAxMRHLe/fuLf5du3Zt1KlTB25uboiJiUHr1q0BAEFBQWKdOnXqwMjICEOHDkVoaKjK9Zk2bZrCNCkpKUxOERERERHpgIkpIiLS2axZs9CjRw+ULl26wPOytbWFvr4+EhMTFcoTExPh4OCQ77SLFi1CWFgY9u/fjzp16uRbt1KlSrC1tcXNmzfFxFReXl5eyMrKwt27d+Hu7q70vrGxsWQJOCIiIiKiDwkf5SMiIp0NHjy4UJJSAGBkZAQPDw+FjsvlHZk3btxY7XQLFy7EnDlzEBUVBU9Pz3cu57///kNSUhLKlSunts7Zs2ehp6cHOzs77VaCiIiIiIi0wjumiIhIK127dsWPP/4IS0tLdO3aNd+6O3bs0GreQUFBGDBgADw9PdGoUSOEh4cjNTUVgYGBAID+/fujfPnyCA0NBQAsWLAAM2fOxMaNG+Hi4iL2RWVhYQELCwu8evUKISEh6NatGxwcHHDr1i1MnjwZlStXhq+vLwAgNjYWJ06cQKtWrVCqVCnExsZi/Pjx6Nevn8rR+4iIiIiIqPAwMUVERFqxsrKCTCYDAFhaWop/F4ZevXrhyZMnmDlzJhISElCvXj1ERUWJHaLHx8dDT+9/N/uuWrUKGRkZ6N69u8J8goODMWvWLOjr6+P8+fP46aefkJycDEdHR7Rp0wZz5swRH8UzNjbG5s2bMWvWLKSnp8PV1RXjx49X6EOKiIiIiIiKhkwQBEHqIIqblJQUWFlZ4cWLF7C0tNRq2g4diigoIiI1du3SfpqCtHOkjJ8nEX3o2M4VroJ8nps2bSqiqIiIVAsICNB6Gm3aOfYxRUREOvv000+RnJysVJ6SkoJPP/30/QdEREREREQlChNTRESks5iYGGRkZCiVv3nzBv/8848EERERERERUUnCPqaIiEhr58+fF/++fPmy2Ok4AGRnZyMqKgrly5eXIjQiIiIiIipBmJgiIiKt1atXDzKZDDKZTOUje6ampvjuu+8kiIyIiIiIiEoSJqaIiEhrd+7cgSAIqFSpEk6ePImyZcuK7xkZGcHOzg76+voSRkhERERERCUBE1NERKQ1Z2dnAEBOTo7EkRARERERUUnGxBQRERXY5cuXER8fr9QReseOHSWKiIiIiIiISgImpoiISGe3b99Gly5dcOHCBchkMgiCAACQyWQA3naETkREREREpI6e1AEQEVHJNXbsWLi6uuLx48cwMzPDpUuXcPjwYXh6eiImJkbq8IiIiIiIqJjjHVNERKSz2NhYHDhwALa2ttDT04Oenh6aNWuG0NBQjBkzBmfOnJE6RCIiIiIiKsZ4xxQREeksOzsbpUqVAgDY2tri4cOHAN52jn7t2jUpQyMiIiIiohKAd0wREZHOatWqhXPnzsHV1RVeXl5YuHAhjIyMsHr1alSqVEnq8IiIiIiIqJhjYoqIiHQ2ffp0pKamAgBmz56N9u3bw9vbG2XKlMGWLVskjo6IiIiIiIo7JqaIiEhnvr6+4t+VK1fG1atX8ezZM1hbW4sj8xEREREREanDxBQRERUqGxsbqUMgIiIiIqISgokpIiLSSteuXTWuu2PHjiKMhIiIiIiISjompoiISCtWVlZSh0BERERERB8IJqaIiEgr69evlzoEIiIiIiL6QOhJHQAREREREREREX2ceMcUERHpzNXVNd/R927fvv0eoyEiIiIiopKGiSkiItLZuHHjFP7PzMzEmTNnEBUVhUmTJkkTFBERERERlRhMTBERkc7Gjh2rsnzFihX4999/33M0RERERERU0rCPKSIiKnRt27bF9u3bpQ6DiIiIiIiKOSamiIio0G3btg02NjZSh0FERERERMUcH+UjIiKd1a9fX6Hzc0EQkJCQgCdPnmDlypUSRkZERERERCUBE1NERKSzzp07K/yvp6eHsmXLomXLlqhWrZo0QRERERERUYnBxBQREeksODhY6hCIiIiIiKgE0zgxdf78eY1nWqdOHZ2CISKikunx48d4/PgxcnJyFMp5PCAiIiIiovxonJiqV68eZDIZBEFQ6E9Elezs7AIHRkRExV9cXBwGDBiAK1euQBAEhfdkMhmPB0RERERElC+NE1N37twR/z5z5gwmTpyISZMmoXHjxgCA2NhYLF68GAsXLiz8KImIqFj64osvULVqVfzwww+wt7d/5w8XREREREREuWmcmHJ2dhb/7tGjB5YtWwZ/f3+xrE6dOnBycsKMGTOUOsMlIqIP0+3bt7F9+3ZUrlxZ6lCIiIiIiKgE0tNlogsXLsDV1VWp3NXVFZcvXy5wUEREVDK0bt0a586dkzoMIiIiIiIqoXQala969eoIDQ3F2rVrYWRkBADIyMhAaGgoqlevXqgBEhFR8bV27VoMGDAAFy9eRK1atWBoaKjwfseOHSWKjIiIiIiISgKdElMRERHo0KEDKlSoII64dP78echkMuzatUurea1YsQLffPMNEhISULduXXz33Xdo1KiRyrqXLl3CzJkzERcXh3v37uHbb7/FuHHjFOrMmjULISEhCmXu7u64evWqVnEREdG7xcbG4ujRo/j777+V3mPn50REVNRSU1Nx6NAhxMfHIyMjQ+G9MWPGaDwfba5JACA5ORlff/01duzYgWfPnsHZ2Rnh4eEKXZ0QEZFmdEpMNWrUCLdv30ZkZKSY8OnVqxf69OkDc3NzjeezZcsWBAUFISIiAl5eXggPD4evry+uXbsGOzs7pfppaWmoVKkSevTogfHjx6udb82aNbF//37xfwMDnVaTiIjeYfTo0ejXrx9mzJgBe3t7qcMhIqKPyJkzZ+Dv74+0tDSkpqbCxsYGT58+hZmZGezs7DROTGl7TZKRkYHPPvsMdnZ22LZtG8qXL4979+6hdOnShbyGREQfB50zNubm5hgyZEiBFr5kyRIMHjwYgYGBAN7eibV7926sW7cOU6dOVarfsGFDNGzYEABUvi9nYGAABweHAsVGRETvlpSUhPHjxzMpRURE79348ePRoUMHREREwMrKCsePH4ehoSH69euHsWPHajwfba9J1q1bh2fPnuHYsWPiI+wuLi6Fsk5ERB8jnTo/l7t8+TKioqLwxx9/KLw0kZGRgbi4OPj4+PwvGD09+Pj4IDY2tiBh4caNG3B0dESlSpXQt29fxMfHF2h+RESkWteuXXHw4EGpwyAioo/Q2bNnMWHCBOjp6UFfXx/p6elwcnLCwoUL8dVXX2k0D12uSf744w80btwYI0eOhL29PWrVqoX58+fz8XUiIh3pdMfU7du30aVLF1y4cAEymQyCIAB4258IAI0a5adPnyI7O1vpV3Z7e/sC9Qfl5eWFH3/8Ee7u7nj06BFCQkLg7e2NixcvolSpUiqnSU9PR3p6uvh/SkqKzssnIvqYVK1aFdOmTcORI0dQu3Ztpc7Ptenfg4iISBuGhobQ03v7O7udnR3i4+NRvXp1WFlZ4f79+xrNQ5drktu3b+PAgQPo27cv/vrrL9y8eRMjRoxAZmYmgoODVU7D6w0iIvV0SkyNHTsWrq6uiI6OhqurK06ePImkpCRMmDABixYtKuwYtdK2bVvx7zp16sDLywvOzs749ddfMWjQIJXThIaGKnWYTkRE77Z27VpYWFjg0KFDOHTokMJ7MpmMiSkiIioy9evXx6lTp1ClShW0aNECM2fOxNOnT7FhwwbUqlWryJabk5MDOzs7rF69Gvr6+vDw8MCDBw/wzTffqE1M8XqDiEg9nRJTsbGxOHDgAGxtbaGnpwc9PT00a9YMoaGhGDNmDM6cOfPOedja2kJfXx+JiYkK5YmJiYXaP1Tp0qVRtWpV3Lx5U22dadOmISgoSPw/JSUFTk5OhRYDEdGH6s6dO1KHQEREH6n58+fj5cuXAIB58+ahf//+GD58OKpUqYJ169ZpNA9drknKlSsHQ0ND6Ovri2XVq1dHQkICMjIyYGRkpDQNrzeIiNTTqY+p7Oxs8bE4W1tbPHz4EADg7OyMa9euaTQPIyMjeHh4IDo6WizLyclBdHQ0GjdurEtYKr169Qq3bt1CuXLl1NYxNjaGpaWlwouIiIiIiIovT09PtGrVCsDbR/mioqKQkpKCuLg41K1bV6N56HJN0rRpU9y8eRM5OTli2fXr11GuXDmVSSmA1xtERPnR6Y6pWrVq4dy5c3B1dYWXlxcWLlwIIyMjrF69GpUqVdJ4PkFBQRgwYAA8PT3RqFEjhIeHIzU1VRwRo3///ihfvjxCQ0MBvO2c8PLly+LfDx48wNmzZ2FhYYHKlSsDACZOnIgOHTrA2dkZDx8+RHBwMPT19REQEKDLqhIRUT6++OKLfN/X9BdrIiIiqWh7TTJ8+HAsX74cY8eOxejRo3Hjxg3Mnz+fj68TEelIp8TU9OnTkZqaCgCYPXs22rdvD29vb5QpUwZbtmzReD69evXCkydPMHPmTCQkJKBevXqIiooSOx+Mj48XOzQEgIcPH6J+/fri/4sWLcKiRYvQokULxMTEAAD+++8/BAQEICkpCWXLlkWzZs1w/PhxlC1bVpdVJSKifDx//lzh/8zMTFy8eBHJycn49NNPJYqKiIg+VA0aNEB0dDSsra1Rv359cfAlVU6fPq3RPLW9JnFycsKePXswfvx41KlTB+XLl8fYsWMxZcqUgq0cEdFHSqfElK+vr/h35cqVcfXqVTx79gzW1tb5HhxUGTVqFEaNGqXyPXmySc7FxUUcAVCdzZs3a7V8IiLS3W+//aZUlpOTg+HDh8PNzU2CiIiI6EPWqVMnGBsbAwA6d+5caPPV5poEABo3bozjx48X2vKJiD5mOiWmVLGxsSmsWRERUQmmp6eHoKAgtGzZEpMnT5Y6HCIi+oDkHvVO3Qh4RERUsmicmOratavGM92xY4dOwRAR0Yfh1q1byMrKkjoMIiL6gJ06dQo5OTnw8vJSKD9x4gT09fXh6ekpUWRERKQNjRNTVlZW4t+CIOC3336DlZWV2ODHxcUhOTlZqwQWERGVbLmHvgbeHh8ePXqE3bt3Y8CAARJFRUREH4ORI0di8uTJSompBw8eYMGCBThx4oREkRERkTY0TkytX79e/HvKlCno2bMnIiIioK+vDwDIzs7GiBEjOPQpEdFH5MyZMwr/6+npoWzZsli8ePE7R+wjIiIqiMuXL6NBgwZK5fXr1xdH8iYiouJPpz6m1q1bhyNHjohJKQDQ19dHUFAQmjRpgm+++abQAiQiouLr4MGDUodAREQfKWNjYyQmJqJSpUoK5Y8ePYKBQaF1pUtEREVM791VlGVlZeHq1atK5VevXkVOTk6BgyIiopLhzp07uHHjhlL5jRs3cPfu3fcfEBERfTTatGmDadOm4cWLF2JZcnIyvvrqK3z22WcSRkZERNrQ6aeEwMBADBo0CLdu3UKjRo0AvO1kMCwsDIGBgYUaIBERFV8DBw7EF198gSpVqiiUnzhxAmvXrlU5xDYREVFhWLRoEZo3bw5nZ2fUr18fAHD27FnY29tjw4YNEkdHRESa0ikxtWjRIjg4OGDx4sV49OgRAKBcuXKYNGkSJkyYUKgBEhFR8XXmzBk0bdpUqfyTTz7BqFGjJIiIiIg+FuXLl8f58+cRGRmJc+fOwdTUFIGBgQgICIChoaHU4RERkYZ0Skzp6elh8uTJmDx5MlJSUgCAnZ4TEX2EZDIZXr58qVT+4sULZGdnSxARERF9TMzNzTFkyBCpwyAiogIocK+ATEgREX28mjdvjtDQUGzatElhlNbQ0FA0a9ZM4uiIiOhDd+PGDRw8eBCPHz9W6ut25syZEkVFRETa0Dgx1aBBA0RHR8Pa2hr169eHTCZTW/f06dOFEhwRERVvCxYsQPPmzeHu7g5vb28AwD///IOUlBQcOHBA4uiIiOhDtmbNGgwfPhy2trZwcHBQuD6RyWRMTBERlRAaJ6Y6deoEY2NjAEDnzp2LKh4iIipBatSogfPnz2P58uVi/x79+/fHqFGjYGNjI3V4RET0AZs7dy7mzZuHKVOmSB0KEREVgMaJqeDgYJV/ExHRx83R0RHz58+XOgwiIvrIPH/+HD169JA6DCIiKqAC9zFFRESUlpaG+Ph4ZGRkKJTXqVNHooiIiOhD16NHD+zduxfDhg2TOhQiIioAjRNT1tbW+fYrlduzZ890DoiIiEqOJ0+eIDAwEH///bfK9zkyHxERFZXKlStjxowZOH78OGrXrg1DQ0OF98eMGSNRZEREpA2NE1Ph4eFFGAYREZVE48aNQ3JyMk6cOIGWLVvit99+Q2JiIubOnYvFixdLHR4REX3AVq9eDQsLCxw6dAiHDh1SeE8mkzExRURUQmicmBowYEBRxkFERCXQgQMHsHPnTnh6ekJPTw/Ozs747LPPYGlpidDQULRr107qEImI6AN1584dqUMgIqJCoHFiKiUlBZaWluLf+ZHXIyKiD1tqairs7OwAvH3k+8mTJ6hatSpq166N06dPSxwdERF9DDIyMnDnzh24ubnBwIBd6BIRlTR6mla0trbG48ePAQClS5eGtbW10kteTkREHwd3d3dcu3YNAFC3bl18//33ePDgASIiIlCuXDmd5rlixQq4uLjAxMQEXl5eOHnypNq6a9asgbe3t3gc8vHxUao/cOBAyGQyhZefn59CnWfPnqFv376wtLRE6dKlMWjQILx69Uqn+ImI6P1IS0vDoEGDYGZmhpo1ayI+Ph4AMHr0aISFhUkcHRERaUrjnxQOHDgAGxsbAMDBgweLLCAiIio5xo4di0ePHgEAgoOD4efnh8jISBgZGeHHH3/Uen5btmxBUFAQIiIi4OXlhfDwcPj6+uLatWvinVm5xcTEICAgAE2aNIGJiQkWLFiANm3a4NKlSyhfvrxYz8/PD+vXrxf/NzY2VphP37598ejRI+zbtw+ZmZkIDAzEkCFDsHHjRq3XgYiI3o9p06bh3LlziImJUfjBwcfHB7NmzcLUqVMljI6IiDQlEwRBkDqI4iYlJQVWVlZ48eKF1o8lduhQREEREamxa5f20xSknctPWloarl69iooVK8LW1lbr6b28vNCwYUMsX74cAJCTkwMnJyeMHj1aowuM7OxsWFtbY/ny5ejfvz+At3dMJScn4/fff1c5zZUrV1CjRg2cOnUKnp6eAICoqCj4+/vjv//+g6Oj4zuXW1SfJxFRcVEc2zlnZ2ds2bIFn3zyCUqVKoVz586hUqVKuHnzJho0aPDO7kekVJDPc9OmTUUUFRGRagEBAVpPo007p/GjfHk9f/4cixYtwqBBgzBo0CAsXrwYz54903V2RET0ATAzM0ODBg10SkplZGQgLi4OPj4+Ypmenh58fHwQGxur0TzS0tKQmZkp3uErFxMTAzs7O7i7u2P48OFISkoS34uNjUXp0qXFpBTw9td2PT09nDhxQuv1ICKi9+PJkycq76ZNTU2FTCaTICIiItKFTompw4cPw8XFBcuWLcPz58/x/PlzLFu2DK6urjh8+HBhx0hERB+Bp0+fIjs7G/b29grl9vb2SEhI0GgeU6ZMgaOjo0Jyy8/PDz///DOio6OxYMECHDp0CG3btkV2djYAICEhQenCxsDAADY2NmqXm56ejpSUFIUXERG9X56enti9e7f4vzwZtXbtWjRu3FiqsIiISEs6DVsxcuRI9OrVC6tWrYK+vj6At49PjBgxAiNHjsSFCxcKNUgiIqJ3CQsLw+bNmxETEwMTExOxvHfv3uLftWvXRp06deDm5oaYmBi0bt1ap2WFhoYiJCSkwDETEZHu5s+fj7Zt2+Ly5cvIysrC0qVLcfnyZRw7dgyHDh2SOjwiItKQTndM3bx5ExMmTBCTUgCgr6+PoKAg3Lx5s9CCIyKij4etrS309fWRmJioUJ6YmAgHB4d8p120aBHCwsKwd+9e1KlTJ9+6lSpVgq2trXi8cnBwEEedlcvKysKzZ8/ULnfatGl48eKF+Lp///67Vo+IiApZs2bNcPbsWWRlZaF27drYu3cv7OzsEBsbCw8PD6nDIyIiDel0x1SDBg1w5coVuLu7K5RfuXIFdevWLZTAiIjo42JkZAQPDw9ER0ejc+fOAN52fh4dHY1Ro0apnW7hwoWYN28e9uzZo9BPlDr//fcfkpKSUK5cOQBA48aNkZycjLi4OPFC5sCBA8jJyYGXl5fKeRgbGyuN7EdERO+fm5sb1qxZI3UYRERUABonps6fPy/+PWbMGIwdOxY3b97EJ598AgA4fvw4VqxYgbCwsMKPkoiIio3cx4N3edfdS3kFBQVhwIAB8PT0RKNGjRAeHo7U1FQEBgYCAPr374/y5csjNDQUALBgwQLMnDkTGzduhIuLi9gnlIWFBSwsLPDq1SuEhISgW7ducHBwwK1btzB58mRUrlwZvr6+AIDq1avDz88PgwcPRkREBDIzMzFq1Cj07t1boxH5iIhIGvHx8fm+X7FixfcUCRERFYTGial69epBJpNBEASxbPLkyUr1+vTpg169ehVOdEREVOzkPh68a9QjeQfjmurVqxeePHmCmTNnIiEhAfXq1UNUVJTYIXp8fDz09P73FPqqVauQkZGB7t27K8wnODgYs2bNgr6+Ps6fP4+ffvoJycnJcHR0RJs2bTBnzhyFO54iIyMxatQotG7dGnp6eujWrRuWLVumVexERPR+ubi45Hsc0vYYRERE0tA4MXXnzp2ijIOIiEqI3MeDM2fOYOLEiZg0aZI4AlJsbCwWL16MhQsX6jT/UaNGqX10LyYmRuH/u3fv5jsvU1NT7Nmz553LtLGxwcaNGzUNkYiIioEzZ84o/J+ZmYkzZ85gyZIlmDdvnkRRERGRtjROTDk7OxdlHEREVELkPh706NEDy5Ytg7+/v1hWp04dODk5YcaMGWJfUURERIVNVd+2np6ecHR0xDfffIOuXbtKEBUREWlLp87P5S5fvoz4+HhkZGQolHfs2LFAQRERUclw4cIFuLq6KpW7urri8uXLEkREREQfO3d3d5w6dUrqMIiISEM6JaZu376NLl264MKFCwr9Tsmf8ebz3EREH4fq1asjNDQUa9euhZGREQAgIyMDoaGhqF69usTRERHRhywlJUXhf0EQ8OjRI8yaNQtVqlSRKCoiItKWTompsWPHwtXVFdHR0XB1dcXJkyeRlJSECRMmYNGiRYUdIxERFVMRERHo0KEDKlSoII7Ad/78echkMuzatUvi6IiI6ENWunRppc7PBUGAk5MTNm/eLFFURESkLZ0SU7GxsThw4ABsbW2hp6cHPT09NGvWDKGhoRgzZoxSR4RERPRhatSoEW7fvo3IyEhcvXoVwNuR9fr06QNzc3OJoyMiog/ZgQMHFBJTenp6KFu2LCpXrgwDgwL1WEJERO+RTi12dnY2SpUqBQCwtbXFw4cP4e7uDmdnZ1y7dq1QAyQiouLN3NwcQ4YMkToMIiL6yLRs2VLqEIiIqBDolJiqVasWzp07B1dXV3h5eWHhwoUwMjLC6tWrUalSpcKOkYiIijkOhkFERO9baGgo7O3t8cUXXyiUr1u3Dk+ePMGUKVMkioyIiLShU2Jq+vTpSE1NBQDMnj0b7du3h7e3N8qUKYMtW7YUaoBERFR8cTAMIiKSyvfff4+NGzcqldesWRO9e/dmYoqIqITQKTHl6+sr/l25cmVcvXoVz549g7W1tVIHhERE9OHiYBhERCSVhIQElCtXTqm8bNmyePTokQQRERGRLvQKOoP79+/j/v37sLGxYVKKiOgjExsbi9mzZ6sdDIOIiKioODk54ejRo0rlR48ehaOjowQRERGRLnRKTGVlZWHGjBmwsrKCi4sLXFxcYGVlhenTpyMzM7OwYyQiomJK1WAYADgYBhERFbnBgwdj3LhxWL9+Pe7du4d79+5h3bp1GD9+PAYPHix1eEREpCGdHuUbPXo0duzYgYULF6Jx48YA3v5qPmvWLCQlJWHVqlWFGiQRERVPHAyDiIikMmnSJCQlJWHEiBHi4BsmJiaYMmUKpk2bJnF0RESkKZ0SUxs3bsTmzZvRtm1bsaxOnTpwcnJCQEAAE1NERB8JDoZBRERSkclkWLBgAWbMmIErV67A1NQUVapUgbGxsdShERGRFnRKTBkbG8PFxUWp3NXVFUZGRgWNiYiISggOhkFERFJLSEjAs2fP0Lx5cxgbG0MQBB6DiIhKEJ36mBo1ahTmzJmD9PR0sSw9PR3z5s3DqFGjCi04IiIqeTgYBhERvQ9JSUlo3bo1qlatCn9/f3EkvkGDBmHChAkSR0dERJrS+I6prl27Kvy/f/9+VKhQAXXr1gUAnDt3DhkZGWjdunXhRkhERMVK3uNBfnbs2FGEkRAR0cds/PjxMDQ0RHx8PKpXry6W9+rVC0FBQVi8eLGE0RERkaY0TkxZWVkp/N+tWzeF/52cnAonIiIiKtZyHw8EQcBvv/0GKysreHp6AgDi4uKQnJysVQKLiIhIW3v37sWePXtQoUIFhfIqVarg3r17EkVFRETa0jgxtX79+qKMg4iISojcx4MpU6agZ8+eiIiIgL6+PgAgOzsbI0aMgKWlpVQhEhHRRyA1NRVmZmZK5c+ePWMH6EREJYhOfUzJPXnyBEeOHMGRI0fw5MmTwoqJiIhKiHXr1mHixIliUgoA9PX1ERQUhHXr1kkYGRERfei8vb3x888/i//LZDLk5ORg4cKFaNWqlYSRERGRNnQalS81NRWjR4/Gzz//jJycHABvL0T69++P7777TuUvF0RE9OHJysrC1atX4e7urlB+9epV8fhARERUFBYuXIjWrVvj33//RUZGBiZPnoxLly7h2bNnOHr0qNThERGRhnS6YyooKAiHDh3Crl27kJycjOTkZOzcuROHDh3iCBhERB+RwMBADBo0CEuWLBHvoF28eDG+/PJLBAYGSh0eERF9wGrVqoXr16+jWbNm6NSpE1JTU9G1a1ecOXMGbm5uUodHREQa0umOqe3bt2Pbtm1o2bKlWObv7w9TU1P07NkTq1atKqz4iIioGFu0aBEcHBywePFicZjucuXKYdKkSfyhgoiIikxmZib8/PwQERGBr7/+WupwiIioAHRKTKWlpcHe3l6p3M7ODmlpaQUOioiISgY9PT1MnjwZkydPRkpKCgCw03MiIipyhoaGOH/+vNRhEBFRIdDpUb7GjRsjODgYb968Ectev36NkJAQNG7cuNCCIyKiksPS0pJJKSIiem/69euHH374QeowiIiogHS6Yyo8PBx+fn6oUKEC6tatCwA4d+4cTExMsGfPnkINkIiIipcGDRogOjoa1tbWqF+/PmQymdq6p0+ffo+RERHRxyQrKwvr1q3D/v374eHhAXNzc4X3lyxZIlFkRESkDZ0SU7Vr18aNGzcQGRmJq1evAgACAgLQt29fmJqaFmqARERUvHTq1AnGxsYAgM6dO0sbDBERfXRu374NFxcXXLx4EQ0aNAAAXL9+XaFOfj+aEBFR8aJ1YiozMxPVqlXDn3/+icGDBxdFTEREVIwFBwer/JuIiOh9qFKlCh49eoSDBw8CAHr16oVly5ap7AOXiIiKP637mDI0NFToW4qIiIiIiOh9EQRB4f+///4bqampEkVDREQFpdOjfCNHjsSCBQuwdu1aGBjoNAsiIiqhrK2tNX5E4tmzZ0UcDRERfezyJqqIiKhk0SmrdOrUKURHR2Pv3r2oXbu2UkeDO3bsKJTgiIio+AkPD5c6BCIi+ojJZDKlH0jYpxQRUcmlU2KqdOnS6NatW2HHQkREJcCAAQOkDoGIiD5igiBg4MCB4kAcb968wbBhw/hjORFRCaVVYionJwfffPMNrl+/joyMDHz66aeYNWsWR+IjIvqIpKSkwNLSUvw7P/J6REREhSXvDyT9+vWTKBIiIioMWiWm5s2bh1mzZsHHxwempqZYtmwZnjx5gnXr1hVVfEREVMxYW1vj0aNHsLOzQ+nSpVU+PiEIAmQyGbKzsyWIkIiIPmTr16+XOgQiIipEWiWmfv75Z6xcuRJDhw4FAOzfvx/t2rXD2rVroaen9QB/RERUAh04cAA2NjYAIA7VTUREREREpAutElPx8fHw9/cX//fx8YFMJsPDhw9RoUKFQg+OiIiKnxYtWqj8m4iIiIiISFtaJaaysrJgYmKiUGZoaIjMzMxCDYqIiEqO58+f44cffsCVK1cAADVq1EBgYKB4VxUREREREZE6WiWm8o6AAageBYMjYBARfRwOHz6MDh06wMrKCp6engCAZcuWYfbs2di1axeaN28ucYRERERERFScadUx1IABA2BnZwcrKyvx1a9fPzg6OiqUaWPFihVwcXGBiYkJvLy8cPLkSbV1L126hG7dusHFxQUymQzh4eEFnicREelu5MiR6NWrF+7cuYMdO3Zgx44duH37Nnr37o2RI0dKHR4REZFGdL1+2Lx5M2QyGTp37ly0ARIRfcC0umOqsEfA2LJlC4KCghAREQEvLy+Eh4fD19cX165dg52dnVL9tLQ0VKpUCT169MD48eMLZZ5ERKS7mzdvYtu2bdDX1xfL9PX1ERQUhJ9//lnCyIiIiDSj6/XD3bt3MXHiRHh7e7/HaImIPjySDqW3ZMkSDB48GIGBgahRowYiIiJgZmaGdevWqazfsGFDfPPNN+jdu7fC44QFmScREemuQYMGYt9SuV25cgV169aVICIiIiLt6HL9kJ2djb59+yIkJASVKlV6j9ESEX14tLpjqjBlZGQgLi4O06ZNE8v09PTg4+OD2NjYYjNPIiJSdP78efHvMWPGYOzYsbh58yY++eQTAMDx48exYsUKhIWFSRUiERGRRnS9fpg9ezbs7OwwaNAg/PPPP+8jVCKiD5ZkiamnT58iOzsb9vb2CuX29va4evXqe51neno60tPTxf9TUlJ0Wj4R0cegXr16kMlkEARBLJs8ebJSvT59+qBXr17vMzQiIiKt6HL9cOTIEfzwww84e/asxsvh9QYRkXqSJaaKk9DQUISEhEgdBhFRiXDnzh2pQyAiIpLEy5cv8fnnn2PNmjWwtbXVeDpebxARqSdZYsrW1hb6+vpITExUKE9MTISDg8N7nee0adMQFBQk/p+SkgInJyedYiAi+tA5OztLHQIREVGh0Pb64datW7h79y46dOggluXk5AAADAwMcO3aNbi5uSlNx+sNIiL1JEtMGRkZwcPDA9HR0eLwqjk5OYiOjsaoUaPe6zyNjY3VdqZORETvdvnyZcTHxyMjI0OhvGPHjhJFRERE9G7aXj9Uq1YNFy5cUCibPn06Xr58iaVLl6pNNvF6g4hIPUkf5QsKCsKAAQPg6emJRo0aITw8HKmpqQgMDAQA9O/fH+XLl0doaCiAt50TXr58Wfz7wYMHOHv2LCwsLFC5cmWN5klERIXn9u3b6NKlCy5cuKDQ75RMJgPwdtQiIiKi4kybaxITExPUqlVLYfrSpUsDgFI5ERFpRtLEVK9evfDkyRPMnDkTCQkJqFevHqKiosTOB+Pj46GnpyfWf/jwIerXry/+v2jRIixatAgtWrRATEyMRvMkIqLCM3bsWLi6uiI6Ohqurq44efIkkpKSMGHCBCxatEjq8IiIiN5J22sSIiIqXDIh97BKBODtM99WVlZ48eIFLC0ttZo21+PmRETvxa5d2k9TkHYuN1tbWxw4cAB16tSBlZUVTp48CXd3dxw4cAATJkzAmTNndJ53SVJYnycRUXHFdq5wFeTz3LRpUxFFRUSkWkBAgNbTaNPOMfVPREQ6y87ORqlSpQC8TVI9fPgQwNsO0q9duyZlaEREREREVAJI+igfERGVbLVq1cK5c+fg6uoKLy8vLFy4EEZGRli9ejUqVaokdXhERERERFTMMTFFREQ6mz59OlJTUwEAs2fPRvv27eHt7Y0yZcpgy5YtEkdHRERERETFHRNTRESkM19fX/HvypUr4+rVq3j27Bmsra3FkfmIiIiIiIjUYWKKiIgKxf379wEATk5OEkdCREREREQlBTs/JyIinWVlZWHGjBmwsrKCi4sLXFxcYGVlhenTpyMzM1Pq8IiIiIiIqJjjHVNERKSz0aNHY8eOHVi4cCEaN24MAIiNjcWsWbOQlJSEVatWSRwhEREREREVZ0xMERGRzjZu3IjNmzejbdu2YlmdOnXg5OSEgIAAJqaIiIiIiChffJSPiIh0ZmxsDBcXF6VyV1dXGBkZvf+AiIiIiIioRGFiioiIdDZq1CjMmTMH6enpYll6ejrmzZuHUaNGSRgZERERERGVBHyUj4iItNK1a1eF//fv348KFSqgbt26AIBz584hIyMDrVu3liI8IiIiIiIqQZiYIiIirVhZWSn8361bN4X/nZyc3mc4RERERERUgjExRUREWlm/fr3UIRARERER0QeCiSkiIiqwJ0+e4Nq1awAAd3d3lC1bVuKIiIiIiIioJGDn50REpLPU1FR88cUXKFeuHJo3b47mzZvD0dERgwYNQlpamtThERERERFRMcfEFBER6SwoKAiHDh3Crl27kJycjOTkZOzcuROHDh3ChAkTdJrnihUr4OLiAhMTE3h5eeHkyZNq665Zswbe3t6wtraGtbU1fHx88q0/bNgwyGQyhIeHK5S7uLhAJpMpvMLCwnSKn4iIiIiINMfEFBER6Wz79u344Ycf0LZtW1haWsLS0hL+/v5Ys2YNtm3bpvX8tmzZgqCgIAQHB+P06dOoW7cufH198fjxY5X1Y2JiEBAQgIMHDyI2NhZOTk5o06YNHjx4oFT3t99+w/Hjx+Ho6KhyXrNnz8ajR4/E1+jRo7WOn4iIiIiItMPEFBER6SwtLQ329vZK5XZ2djo9yrdkyRIMHjwYgYGBqFGjBiIiImBmZoZ169aprB8ZGYkRI0agXr16qFatGtauXYucnBxER0cr1Hvw4AFGjx6NyMhIGBoaqpxXqVKl4ODgIL7Mzc21jp+IiIiIiLTDxBQREemscePGCA4Oxps3b8Sy169fIyQkBI0bN9ZqXhkZGYiLi4OPj49YpqenBx8fH8TGxmo0j7S0NGRmZsLGxkYsy8nJweeff45JkyahZs2aaqcNCwtDmTJlUL9+fXzzzTfIyspSWzc9PR0pKSkKLyIiIiIi0h5H5SMiIp2Fh4fDz88PFSpUQN26dQEA586dg4mJCfbs2aPVvJ4+fYrs7GylO7Ds7e1x9epVjeYxZcoUODo6KiS3FixYAAMDA4wZM0btdGPGjEGDBg1gY2ODY8eOYdq0aXj06BGWLFmisn5oaChCQkI0iomIiIiIiNRjYoqIiHRWu3Zt3LhxA5GRkWLyKCAgAH379oWpqel7jSUsLAybN29GTEwMTExMAABxcXFYunQpTp8+DZlMpnbaoKAg8e86derAyMgIQ4cORWhoKIyNjZXqT5s2TWGalJQUODk5FeLaEBERERF9HJiYIiIinWRmZqJatWr4888/MXjw4ALPz9bWFvr6+khMTFQoT0xMhIODQ77TLlq0CGFhYdi/fz/q1Kkjlv/zzz94/PgxKlasKJZlZ2djwoQJCA8Px927d1XOz8vLC1lZWbh79y7c3d2V3jc2NlaZsCIiIiIiIu2wjykiItKJoaGhQt9SBWVkZAQPDw+FjsvlHZnn11/VwoULMWfOHERFRcHT01Phvc8//xznz5/H2bNnxZejoyMmTZqU76OGZ8+ehZ6eHuzs7Aq+YkREREREpBbvmCIiIp2NHDkSCxYswNq1a2FgUPBDSlBQEAYMGABPT080atQI4eHhSE1NRWBgIACgf//+KF++PEJDQwG87T9q5syZ2LhxI1xcXJCQkAAAsLCwgIWFBcqUKYMyZcooLMPQ0BAODg7inVCxsbE4ceIEWrVqhVKlSiE2Nhbjx49Hv379YG1tXeB1IiIiIiIi9ZiYIiIinZ06dQrR0dHYu3cvateuDXNzc4X3d+zYodX8evXqhSdPnmDmzJlISEhAvXr1EBUVJXaIHh8fDz29/93su2rVKmRkZKB79+4K8wkODsasWbM0WqaxsTE2b96MWbNmIT09Ha6urhg/frxCH1JERERERFQ0mJgiIiKdlS5dGt26dSvUeY4aNQqjRo1S+V5MTIzC/+r6iMpP3mkaNGiA48ePaz0fIiIiIiIqOCamiIhIZ+vXr5c6BCIiIiIiKsHY+TkREWktJycHCxYsQNOmTdGwYUNMnToVr1+/ljosIiIiIiIqYZiYIiIirc2bNw9fffUVLCwsUL58eSxduhQjR46UOiwiIiIiIiphmJgiIiKt/fzzz1i5ciX27NmD33//Hbt27UJkZCRycnKkDo2IiIiIiEoQJqaIiEhr8fHx8Pf3F//38fGBTCbDw4cPJYyKiIiIiIhKGiamiIhIa1lZWTAxMVEoMzQ0RGZmpkQRERERERFRScRR+YiISGuCIGDgwIEwNjYWy968eYNhw4bB3NxcLNuxY4cU4RERERERUQnBxBQREWltwIABSmX9+vWTIBIiIiIiIirJmJgiIiKtrV+/XuoQiIiIiIjoA8A+poiIiIiIiIiISBJMTBERERERERERkSSYmCIiIiIiIiIiIkkwMUVERERERERERJJgYoqIiIiIiIiIiCTBxBQREREREREREUmCiSkiIiIiIiIiIpIEE1NERERERERERCQJJqaIiIiIiIiIiEgSTEwREREREREREZEkmJgiIiIiIiIiIiJJMDFFRERERERERESSYGKKiIiIiIiIiIgkwcQUERERERERERFJgokpIiIiIiIiIiKSBBNTREREREREREQkCSamiIiIiIiIiIhIEkxMERERERERERGRJJiYIiIiIiIiIiIiSTAxRUREREREREREkmBiioiIiIiIiIiIJMHEFBERERERERERSYKJKSIiIiIiIiIikgQTU0REREREREREJAkmpoiIiIiIiIiISBJMTBERERERERERkSSYmCIiIiIiIiIiIkkwMUVERERERERERJJgYoqIiIiIiIiIiCTBxBQREREREREREUmCiSkiIiIiIiIiIpJEsUhMrVixAi4uLjAxMYGXlxdOnjyZb/2tW7eiWrVqMDExQe3atfHXX38pvD9w4EDIZDKFl5+fX1GuAhERERERlVDaXI+sWbMG3t7esLa2hrW1NXx8fN55/UJEROpJnpjasmULgoKCEBwcjNOnT6Nu3brw9fXF48ePVdY/duwYAgICMGjQIJw5cwadO3dG586dcfHiRYV6fn5+ePTokfjatGnT+1gdIiIiIiIqQbS9HomJiUFAQAAOHjyI2NhYODk5oU2bNnjw4MF7jpyI6MMgeWJqyZIlGDx4MAIDA1GjRg1ERETAzMwM69atU1l/6dKl8PPzw6RJk1C9enXMmTMHDRo0wPLlyxXqGRsbw8HBQXxZW1u/j9UhIiIiIqISRNvrkcjISIwYMQL16tVDtWrVsHbtWuTk5CA6Ovo9R05E9GGQNDGVkZGBuLg4+Pj4iGV6enrw8fFBbGysymliY2MV6gOAr6+vUv2YmBjY2dnB3d0dw4cPR1JSUuGvABERERERlVi6XI/klZaWhszMTNjY2BRVmEREHzQDKRf+9OlTZGdnw97eXqHc3t4eV69eVTlNQkKCyvoJCQni/35+fujatStcXV1x69YtfPXVV2jbti1iY2Ohr6+vNM/09HSkp6eL/6ekpBRktYiIiIiIqATQ5XokrylTpsDR0VHpx/PceL1BRKSepImpotK7d2/x79q1a6NOnTpwc3NDTEwMWrdurVQ/NDQUISEh7zNEIiIiIiIq4cLCwrB582bExMTAxMREbT1ebxARqSfpo3y2trbQ19dHYmKiQnliYiIcHBxUTuPg4KBVfQD/1969h1VVpX8A/57D5YDcQQQOkmgiXiIoTcJkHBOjmTIpy0te0FD7ldewvE0jXnJA84I2ZqOplINRavikKWkomYqoKKKJGgZqKl4TRROQ8/7+8HGPRw53YSN+P89znpmz9trrrLVOrtf9uvc6aNGiBRo3bozs7GyTxydNmoT8/Hzldfr06SqOhIiIiIiIHjbVuR65a86cOYiJicHmzZvx5JNPlluX1xtERGVTNTFlaWmJ9u3bG20UeHfjwKCgIJPnBAUFldpYcMuWLWXWB4Dff/8dly9fhoeHh8njOp0O9vb2Ri8iIiIiImrYqnM9AgCzZ8/GjBkzkJSUhA4dOlT4ObzeICIqm+qP8kVGRiI8PBwdOnRAx44dERsbixs3bmDIkCEAgEGDBsHT0xPR0dEAgDFjxqBLly6YO3cuXnrpJSQkJGDfvn1YsmQJAKCgoADTpk1Dr1694O7ujhMnTmD8+PFo2bIlQkNDVRsnERERERHVP1W9Hpk1axamTJmCVatWwdvbW9nr1tbWFra2tqqNg4joYaV6YqpPnz64ePEipkyZgry8PAQEBCApKUnZgPDUqVPQav93Y1enTp2watUqfPjhh5g8eTJ8fHywbt06PPHEEwAAMzMzZGZm4osvvsDVq1eh1+vxwgsvYMaMGdDpdKqMkYiIiIiI6qeqXo8sXrwYRUVFeP31143aiYqKwtSpU+uy60REDYJGRETtTtQ3165dg4ODA/Lz86t8m22PHrXUKSKiMqxfX/VzarLOUWmcTyJq6LjOPVg1mc+vvvqqlnpFRGRav379qnxOVdY5VfeYIiIiIiIiIiKiRxcTU0REREREREREpAompoiIiIiIiIiISBVMTBERERERERERkSqYmCIiIiIiIiIiIlUwMUVERERERERERKpgYoqIiIiIiIiIiFTBxBQREREREREREamCiSkiIiIiIiIiIlIFE1NERERERERERKQKJqaIiIiIiIiIiEgVTEwREVG9smjRInh7e8PKygqBgYHYs2dPmXWXLl2K4OBgODk5wcnJCSEhIeXW/7//+z9oNBrExsYalV+5cgX9+/eHvb09HB0dERERgYKCggc1JCIiIiIiKgMTU0REVG98/fXXiIyMRFRUFPbv3w9/f3+EhobiwoULJuunpKSgX79+2LZtG1JTU+Hl5YUXXngBZ86cKVU3MTERu3fvhl6vL3Wsf//++OWXX7BlyxZs2LAB27dvx/Dhwx/4+IiIiIiIyBgTU0REVG/MmzcPw4YNw5AhQ9C2bVt89tlnaNSoEZYvX26yfnx8PN59910EBASgdevW+Pzzz2EwGJCcnGxU78yZMxg1ahTi4+NhYWFhdCwrKwtJSUn4/PPPERgYiM6dO+OTTz5BQkICzp49W2tjJSIiIiIiJqaIiKieKCoqQnp6OkJCQpQyrVaLkJAQpKamVqqNmzdvori4GM7OzkqZwWDAwIED8cEHH6Bdu3alzklNTYWjoyM6dOiglIWEhECr1SItLa0GIyIiIiIiooqYq90BIiIiALh06RJKSkrg5uZmVO7m5oajR49Wqo0JEyZAr9cbJbdmzZoFc3NzjB492uQ5eXl5aNKkiVGZubk5nJ2dkZeXZ/KcwsJCFBYWKu+vXbtWqf4REREREZExJqaIiKhBiImJQUJCAlJSUmBlZQUASE9Px4IFC7B//35oNJoH9lnR0dGYNm3aA2uPiIiIiOhRxUf5iIioXmjcuDHMzMxw/vx5o/Lz58/D3d293HPnzJmDmJgYbN68GU8++aRS/vPPP+PChQt47LHHYG5uDnNzc5w8eRLjxo2Dt7c3AMDd3b3U5uq3b9/GlStXyvzcSZMmIT8/X3mdPn26GiMmIiIiIiImpoiIqF6wtLRE+/btjTYuv7uReVBQUJnnzZ49GzNmzEBSUpLRPlEAMHDgQGRmZiIjI0N56fV6fPDBB/jhhx8AAEFBQbh69SrS09OV87Zu3QqDwYDAwECTn6nT6WBvb2/0IiIiIiKiquOjfEREVG9ERkYiPDwcHTp0QMeOHREbG4sbN25gyJAhAIBBgwbB09MT0dHRAO7sHzVlyhSsWrUK3t7eyp5Qtra2sLW1hYuLC1xcXIw+w8LCAu7u7vD19QUAtGnTBi+++CKGDRuGzz77DMXFxRg5ciT69u0LvV5fh6MnIiIiInr0MDFFRET1Rp8+fXDx4kVMmTIFeXl5CAgIQFJSkrIh+qlTp6DV/u9m38WLF6OoqAivv/66UTtRUVGYOnVqpT83Pj4eI0eORLdu3aDVatGrVy8sXLjwgYyJiIiIiIjKxsQUERHVKyNHjsTIkSNNHktJSTF6n5ubW+X2TZ3j7OyMVatWVbktIiIiIiKqGe4xRUREREREREREqmBiioiIiIiIiIiIVMHEFBERERERERERqYKJKSIiIiIiIiIiUgUTU0REREREREREpAompoiIiIiIiIiISBVMTBERERERERERkSqYmCIiIiIiIiIiIlUwMUVERERERERERKpgYoqIiIiIiIiIiFTBxBQREREREREREamCiSkiIiIiIiIiIlIFE1NERERERERERKQKJqaIiIiIiIiIiEgVTEwREREREREREZEqmJgiIiIiIiIiIiJVMDFFRERERERERESqYGKKiIiIiIiIiIhUwcQUERERERERERGpgokpIiIiIiIiIiJSBRNTRERERERERESkCiamiIiIiIiIiIhIFUxMERERERERERGRKpiYIiIiIiIiIiIiVTAxRUREREREREREqmBiioiIiIiIiIiIVMHEFBERERERERERqYKJKSIiIiIiIiIiUgUTU0REREREREREpAompoiIiIiIiIiISBVMTBERERERERERkSqYmCIiIiIiIiIiIlUwMUVERERERERERKpgYoqIiIiIiIiIiFTBxBQREREREREREamCiSkiIiIiIiIiIlIFE1NERERERERERKQKJqaIiIiIiIiIiEgVTEwREREREREREZEqmJgiIiIiIiIiIiJVMDFFRERERERERESqYGKKiIiIiIiIiIhUwcQUERERERERERGpgokpIiIiIiIiIiJSRb1ITC1atAje3t6wsrJCYGAg9uzZU2791atXo3Xr1rCysoKfnx82btxodFxEMGXKFHh4eMDa2hohISH49ddfa3MIRERERET0kHrQ1yNERFR5qiemvv76a0RGRiIqKgr79++Hv78/QkNDceHCBZP1d+3ahX79+iEiIgIHDhxAWFgYwsLCcPjwYaXO7NmzsXDhQnz22WdIS0uDjY0NQkNDcevWrboaFhERERERPQRq43qEiIgqTyMiomYHAgMD8cwzz+Df//43AMBgMMDLywujRo3CxIkTS9Xv06cPbty4gQ0bNihlzz77LAICAvDZZ59BRKDX6zFu3Di8//77AID8/Hy4ubkhLi4Offv2rbBP165dg4ODA/Lz82Fvb1+l8fToUaXqREQ1tn591c+pyTpHpXE+iaiha8jr3IO+HqmMmsznV199VaX6REQ11a9fvyqfU5V1TtU7poqKipCeno6QkBClTKvVIiQkBKmpqSbPSU1NNaoPAKGhoUr9nJwc5OXlGdVxcHBAYGBgmW0SEREREdGjpzauR4iIqGrM1fzwS5cuoaSkBG5ubkblbm5uOHr0qMlz8vLyTNbPy8tTjt8tK6vO/QoLC1FYWKi8z8/PB3Anw1dVxcVVPoWIqEaqsVQp65vKN802GHfnsTpxg4joYdBQ40ZtXI+Y8iCvN27evFnlc4iIaqI6a1VV4oaqian6Ijo6GtOmTStV7uXlpUJviIiqxsGh+udev34dDjVpgADcmUeAcYOIGj7Gjerh9QYRPcyGDh1a7XMrEzdUTUw1btwYZmZmOH/+vFH5+fPn4e7ubvIcd3f3cuvf/d/z58/Dw8PDqE5AQIDJNidNmoTIyEjlvcFgwJUrV+Di4gKNRlPlcRFV1bVr1+Dl5YXTp083uH0bqH4SEVy/fh16vV7trjQIer0ep0+fhp2dHeMG1QnGDaprDTVu1Mb1iCkP8/XGo7DecIwNA8dYv1QlbqiamLK0tET79u2RnJyMsLAwAHcW6eTkZIwcOdLkOUFBQUhOTsbYsWOVsi1btiAoKAgA0Lx5c7i7uyM5OVlJRF27dg1paWl45513TLap0+mg0+mMyhwdHWs0NqLqsLe3r/cLDDUc/BfvB0er1aJp06Zqd4MeQYwbVJcaYtyojesRUxrC9cajsN5wjA0Dx1h/VDZuqP4oX2RkJMLDw9GhQwd07NgRsbGxuHHjBoYMGQIAGDRoEDw9PREdHQ0AGDNmDLp06YK5c+fipZdeQkJCAvbt24clS5YAADQaDcaOHYuPPvoIPj4+aN68Of75z39Cr9crwYaIiIiIiAh48NcjRERUNaonpvr06YOLFy9iypQpyMvLQ0BAAJKSkpQNBU+dOgWt9n8/HtipUyesWrUKH374ISZPngwfHx+sW7cOTzzxhFJn/PjxuHHjBoYPH46rV6+ic+fOSEpKgpWVVZ2Pj4iIiIiI6q/auB4hIqLK00hD+2kNoodQYWEhoqOjMWnSpFK3eRMREd2PcYOI6sqjsN5wjA0Dx/jwYmKKiIiIiIiIiIhUoa24ChERERERERER0YPHxBQREREREREREamCiSkiIiIiIiIiIlIFE1NE9cCiRYvg7e0NKysrBAYGYs+ePWp3iYiI6jHGDSKqLVeuXEH//v1hb28PR0dHREREoKCgoFLnigj+9re/QaPRYN26dbXb0Rqq6jivXLmCUaNGwdfXF9bW1njssccwevRo5Ofn12Gvy1fV2LB69Wq0bt0aVlZW8PPzw8aNG+uop9VXlTEuXboUwcHBcHJygpOTE0JCQh6KeFndGJ+QkACNRoOwsLDa7WAtYGKKSGVff/01IiMjERUVhf3798Pf3x+hoaG4cOGC2l0jIqJ6iHGDiGpT//798csvv2DLli3YsGEDtm/fjuHDh1fq3NjYWGg0mlru4YNR1XGePXsWZ8+exZw5c3D48GHExcUhKSkJERERddjrslU1NuzatQv9+vVDREQEDhw4gLCwMISFheHw4cN13PPKq+oYU1JS0K9fP2zbtg2pqanw8vLCCy+8gDNnztRxzyuvujE+NzcX77//PoKDg+uopw+YEJGqOnbsKCNGjFDel5SUiF6vl+joaBV7RURE9RXjBhHVliNHjggA2bt3r1K2adMm0Wg0cubMmXLPPXDggHh6esq5c+cEgCQmJtZyb6uvJuO81zfffCOWlpZSXFxcG92skqrGht69e8tLL71kVBYYGChvv/12rfazJmoa/27fvi12dnbyxRdf1FYXa6w6Y7x9+7Z06tRJPv/8cwkPD5eePXvWQU8fLN4xRaSioqIipKenIyQkRCnTarUICQlBamqqij0jIqL6iHGDiGpTamoqHB0d0aFDB6UsJCQEWq0WaWlpZZ538+ZNvPnmm1i0aBHc3d3roqs1Ut1x3i8/Px/29vYwNzevjW5WWnViQ2pqqlF9AAgNDa23seRBxL+bN2+iuLgYzs7OtdXNGqnuGKdPn44mTZrUm7v3qoOJKSIVXbp0CSUlJXBzczMqd3NzQ15enkq9IiKi+opxg4hqU15eHpo0aWJUZm5uDmdn53LXmPfeew+dOnVCz549a7uLD0R1x3mvS5cuYcaMGZV+zLE2VSc25OXlPVSx5EHEvwkTJkCv15dKyNUX1Rnjjh07sGzZMixdurQuulhrmJgiIiIiIiJqwCZOnAiNRlPu6+jRo9Vq+7vvvsPWrVsRGxv7YDtdDbU5zntdu3YNL730Etq2bYupU6fWvONU62JiYpCQkIDExERYWVmp3Z0H4vr16xg4cCCWLl2Kxo0bq92dGlH3nkOiR1zjxo1hZmaG8+fPG5WfP3/+obgNmoiI6hbjBhFVx7hx4zB48OBy67Ro0QLu7u6lNlm+ffs2rly5UuYas3XrVpw4cQKOjo5G5b169UJwcDBSUlJq0POqqc1x3nX9+nW8+OKLsLOzQ2JiIiwsLGra7RqrTmxwd3d/qGJJTeLfnDlzEBMTgx9//BFPPvlkbXazRqo6xhMnTiA3Nxc9evRQygwGA4A7dwAeO3YMjz/+eO12+gHhHVNEKrK0tET79u2RnJyslBkMBiQnJyMoKEjFnhERUX3EuEFE1eHq6orWrVuX+7K0tERQUBCuXr2K9PR05dytW7fCYDAgMDDQZNsTJ05EZmYmMjIylBcAzJ8/HytWrKiL4Slqc5zAnTulXnjhBVhaWuK7776rN3feVCc2BAUFGdUHgC1bttTbWFLd+Dd79mzMmDEDSUlJRnuK1UdVHWPr1q1x6NAhoz97r7zyCrp27YqMjAx4eXnVZfdrRu3d14kedQkJCaLT6SQuLk6OHDkiw4cPF0dHR8nLy1O7a0REVA8xbhBRbXrxxRflqaeekrS0NNmxY4f4+PhIv379lOO///67+Pr6SlpaWpltoJ7/Kp9I1ceZn58vgYGB4ufnJ9nZ2XLu3Dnldfv2bbWGoagoNgwcOFAmTpyo1N+5c6eYm5vLnDlzJCsrS6KiosTCwkIOHTqk1hAqVNUxxsTEiKWlpaxZs8bo+7p+/bpaQ6hQVcd4v4f1V/n4KB+Ryvr06YOLFy9iypQpyMvLQ0BAAJKSkkptekdERAQwbhBR7YqPj8fIkSPRrVs3aLVa9OrVCwsXLlSOFxcX49ixY7h586aKvay5qo5z//79yi/2tWzZ0qitnJwceHt711nfTakoNpw6dQpa7f8emOrUqRNWrVqFDz/8EJMnT4aPjw/WrVuHJ554Qq0hVKiqY1y8eDGKiorw+uuvG7UTFRVVb/cGq+oYGwqNiIjanSAiIiIiIiIiokdPw0u1ERERERERERHRQ4GJKSIiIiIiIiIiUgUTU0REREREREREpAompoiIiIiIiIiISBVMTBERERERERERkSqYmCIiIiIiIiIiIlUwMUVERERERERERKpgYoqIiIiIiIgeqMTERHzzzTdqd6NBO3bsGKKjo1FYWKh2V4hqhIkpemTExcXB0dHxoWp78ODBCAsLq3T9lJQUaDQaXL169YH3hYjoUcO4QURUPXv27MHYsWPx7LPPqt2VGquv6+T169fx6quvonnz5tDpdDVub+rUqQgICKh5x+rIunXr0LJlS5iZmWHs2LFqd4dqiIkpqhODBw+GRqOBRqOBhYUFmjdvjvHjx+PWrVuq9elhW3yJiB4ljBtERPXD3fU4JibGqHzdunXQaDSl6ufn52Po0KFITEzEY489VlfdfCj8+eefcHZ2RuPGjSt9l1NZibHw8HAMHToUffv2rYWePnhTp05V4rq5uTkaN26Mv/zlL4iNja3WHV9vv/02Xn/9dZw+fRozZsyocf/qawLyUWGudgfo0fHiiy9ixYoVKC4uRnp6OsLDw6HRaDBr1iy1u0ZERPUQ4wYRUf1gZWWFWbNm4e2334aTk1O5dR0cHJCZmVlHPTOtqKgIlpaWqvbBlLVr16Jdu3YQEaxbtw59+vQpt35xcXGZx7799tsH3b1a165dO/z4448wGAy4fPkyUlJS8NFHH2HlypVISUmBnZ1dpdopKCjAhQsXEBoaCr1eX8u9prrAO6aozuh0Ori7u8PLywthYWEICQnBli1blOMGgwHR0dFo3rw5rK2t4e/vjzVr1ijH//jjD/Tv3x+urq6wtraGj48PVqxYAcB0hjsjIwMajQa5ubml+hIXF4dp06bh4MGDSuY+Li4OADBv3jz4+fnBxsYGXl5eePfdd1FQUFDq/MceewyNGjXCq6++isuXL5f6jMWLF+Pxxx+HpaUlfH19sXLlynLnp6SkBJGRkXB0dISLiwvGjx8PETGqU9EcVcbVq1cxdOhQuLq6wt7eHs8//zwOHjyoHL97R8DKlSvh7e0NBwcH9O3bF9evX1fqrFmzBn5+frC2toaLiwtCQkJw48YNAMDevXvRvXt3NG7cGA4ODujSpQv279+vnPvWW2/h5ZdfNupTcXExmjRpgmXLlgEACgsLMXr0aDRp0gRWVlbo3Lkz9u7dW6VxEtHDj3GDcQNg3CCqD0JCQuDu7o7o6Ogy65i6qzQ2Nhbe3t7K+7uPG//rX/+Cm5sbHB0dMX36dNy+fRsffPABnJ2d0bRpU2Wtvuv06dPo3bs3HB0d4ezsjJ49exqt1XfbnTlzJvR6PXx9fQEAhw4dwvPPP6+sPcOHDy+1Pt9v48aNaNWqFaytrdG1a1eTMWHHjh0IDg6GtbU1vLy8MHr0aGVNK8+yZcswYMAADBgwQFm/7qXRaLB48WK88sorsLGxwbBhw9C1a1cAgJOTEzQaDQYPHgwA+Otf/2r0CFthYSEmTJgALy8v6HQ6tGzZUvkMU4+Pl3XH210GgwHTp09H06ZNodPpEBAQgKSkJOV4UVERRo4cCQ8PD1hZWaFZs2bl/vcBAObm5nB3d4der4efnx9GjRqFn376CYcPHzb6R6fCwkK8//778PT0hI2NDQIDA5GSkgIARgms559/HhqNRjlW0fdS1hzl5uaWOc/e3t6IjY01GkdAQACmTp2qvD916hR69uwJW1tb2Nvbo3fv3jh//rxy/ODBg+jatSvs7Oxgb2+P9u3bY9++fcrxuwlLnU4Hb29vzJ071+jzPv30U/j4+MDKygpubm54/fXXy53nh5IQ1YHw8HDp2bOn8v7QoUPi7u4ugYGBStlHH30krVu3lqSkJDlx4oSsWLFCdDqdpKSkiIjIiBEjJCAgQPbu3Ss5OTmyZcsW+e6770REZNu2bQJA/vjjD6W9AwcOCADJyckREZEVK1aIg4ODiIjcvHlTxo0bJ+3atZNz587JuXPn5ObNmyIiMn/+fNm6davk5ORIcnKy+Pr6yjvvvKO0u3v3btFqtTJr1iw5duyYLFiwQBwdHZW2RUS+/fZbsbCwkEWLFsmxY8dk7ty5YmZmJlu3bi1zjmbNmiVOTk6ydu1aOXLkiERERIidnZ3RvFU0R6bm4X4hISHSo0cP2bt3rxw/flzGjRsnLi4ucvnyZRERiYqKEltbW3nttdfk0KFDsn37dnF3d5fJkyeLiMjZs2fF3Nxc5s2bJzk5OZKZmSmLFi2S69evi4hIcnKyrFy5UrKyspRxuLm5ybVr10REZOfOnWJmZiZnz541mi8bGxuljdGjR4ter5eNGzfKL7/8IuHh4eLk5KT0kYgaPsYNxg3GDaL64e56/O2334qVlZWcPn1aREQSExPl3svJqKgo8ff3Nzp3/vz50qxZM6O27OzsZMSIEXL06FFZtmyZAJDQ0FCZOXOmHD9+XGbMmCEWFhbK5xQVFUmbNm3krbfekszMTDly5Ii8+eab4uvrK4WFhUq7tra2MnDgQDl8+LAcPnxYCgoKxMPDQ1mbkpOTpXnz5hIeHl7mWE+dOiU6nU4iIyPl6NGj8t///lfc3NyM1sns7GyxsbGR+fPny/Hjx2Xnzp3y1FNPyeDBg8udx+zsbNHpdHLlyhW5fPmyWFlZSW5urlEdANKkSRNZvny5nDhxQnJzc2Xt2rUCQI4dOybnzp2Tq1eviohIly5dZMyYMcq5vXv3Fi8vL/n222/lxIkT8uOPP0pCQoKIGMezuyr6/ubNmyf29vby1VdfydGjR2X8+PFiYWEhx48fFxGRjz/+WLy8vGT79u2Sm5srP//8s6xatarM8Zv67+Ounj17Sps2bZT3Q4cOlU6dOsn27dslOztbPv74Y9HpdHL8+HEpLCyUY8eOCQBZu3atnDt3TgoLCyv1vZQ1R7dv3y5znps1aybz58836q+/v79ERUWJiEhJSYkEBARI586dZd++fbJ7925p3769dOnSRanfrl07GTBggGRlZcnx48flm2++kYyMDBER2bdvn2i1Wpk+fbocO3ZMVqxYIdbW1rJixQoREdm7d6+YmZnJqlWrJDc3V/bv3y8LFiwoc54fVkxMUZ0IDw8XMzMzsbGxEZ1OJwBEq9XKmjVrRETk1q1b0qhRI9m1a5fReREREdKvXz8REenRo4cMGTLEZPtVvcAQKX9xvNfq1avFxcVFed+vXz/5+9//blSnT58+Rm136tRJhg0bZlTnjTfeKHXevTw8PGT27NnK++LiYmnatKlygVGZOaroAuPnn38We3t7uXXrllH5448/Lv/5z39E5M68NGrUSLkgEBH54IMPlIvB9PR0AVAqkJalpKRE7OzsZP369UpZ27ZtZdasWcr7Hj16KEGjoKBALCwsJD4+XjleVFQker3eaH6IqGFj3GDcYNwgqh/u/YeCZ599Vt566y0RqX5iqlmzZlJSUqKU+fr6SnBwsPL+9u3bYmNjI1999ZWIiKxcuVJ8fX3FYDAodQoLC8Xa2lp++OEHpV03NzclUSUismTJEnFycpKCggKl7PvvvxetVit5eXkmxzpp0iRp27atUdmECROM1smIiAgZPny4UZ2ff/5ZtFqt/PnnnybbFRGZPHmyhIWFKe979uypJDfuAiBjx441Kitrnb43MXU3UbNlyxaTn12dxJRer5eZM2canfPMM8/Iu+++KyIio0aNkueff97oeylPeTF0woQJYm1tLSIiJ0+eFDMzMzlz5oxRnW7dusmkSZNEROSPP/4QALJt2zbleEXfS0VzVNY8V5SY2rx5s5iZmcmpU6eU47/88osAkD179oiIiJ2dncTFxZn83DfffFO6d+9uVPbBBx8o/x2uXbtW7O3tjWJsQ8RH+ajOdO3aFRkZGUhLS0N4eDiGDBmCXr16AQCys7Nx8+ZNdO/eHba2tsrryy+/xIkTJwAA77zzDhISEhAQEIDx48dj165dtdLPH3/8Ed26dYOnpyfs7OwwcOBAXL58GTdv3gQAZGVlITAw0OicoKAgo/dZWVl47rnnjMqee+45ZGVlmfzM/Px8nDt3zqhdc3NzdOjQQXlfmTmqyMGDB1FQUAAXFxejNnJycoza8Pb2NnrG28PDAxcuXAAA+Pv7o1u3bvDz88Mbb7yBpUuX4o8//lDqnj9/HsOGDYOPjw8cHBxgb2+PgoICnDp1SqkzdOhQ5Rbt8+fPY9OmTXjrrbcAACdOnEBxcbHR/FlYWKBjx45lzh8RNUyMG4wbdzFuENUPs2bNwhdffFGjP1vt2rWDVvu/y1A3Nzf4+fkp783MzODi4qKsIQcPHkR2djbs7OyUNcjZ2Rm3bt0yWof8/PyM9pXKysqCv78/bGxslLLnnnsOBoMBx44dM9m3yqzXBw8eRFxcnNGaGBoaCoPBgJycHJPtlpSU4IsvvsCAAQOUsgEDBiAuLg4Gg8Go7r3reGVlZGTAzMwMXbp0qfK5ply7dg1nz54tNy4NHjwYGRkZ8PX1xejRo7F58+Zqf56IKI8VHjp0CCUlJWjVqpXRHP/000/lxq6KvpcHPUd3ZWVlwcvLC15eXkpZ27Zt4ejoqMxVZGQkhg4dipCQEMTExBiNo6z4/+uvv6KkpATdu3dHs2bN0KJFCwwcOBDx8fHK3y8aEm5+TnXGxsYGLVu2BAAsX74c/v7+WLZsGSIiIpRnvb///nt4enoanXf350//9re/4eTJk9i4cSO2bNmCbt26YcSIEZgzZ44S3OSevTXK2yywLLm5uXj55ZfxzjvvYObMmXB2dsaOHTsQERGBoqIiNGrUqFpjfxAqM0eVacPDw0N5Dvte9z53bmFhYXRMo9EoQdPMzAxbtmzBrl27sHnzZnzyySf4xz/+gbS0NDRv3hzh4eG4fPkyFixYgGbNmkGn0yEoKAhFRUVKe4MGDcLEiRORmpqKXbt2oXnz5ggODq7UGIjo0cG4UTOMG0T0oP3lL39BaGgoJk2apOzBc5dWqy21z52pddXUelHeGlJQUID27dsjPj6+VFuurq7K/783AVWbCgoK8Pbbb2P06NGljpX1K4Q//PADzpw5U2qz85KSEiQnJ6N79+5KWXXGYW1tXe7xyn43VfH0008jJycHmzZtwo8//ojevXsjJCSkyvsYAneSM82bNwdwZ37NzMyQnp4OMzMzo3q2trZltlHR95KdnV3lfgEPZu6mTp2KN998E99//z02bdqEqKgoJCQk4NVXX63wXDs7O+zfvx8pKSnYvHkzpkyZgqlTp2Lv3r2l9g17mPGOKVKFVqvF5MmT8eGHH+LPP/9E27ZtodPpcOrUKbRs2dLodW/22dXVFeHh4fjvf/+L2NhYLFmyRCkHgHPnzil1MzIyyu2DpaUlSkpKjMrS09NhMBgwd+5cPPvss2jVqhXOnj1rVKdNmzZIS0szKtu9e3epOjt37jQq27lzJ9q2bWuyLw4ODvDw8DBq9/bt20hPT1feV3aOyvP0008jLy8P5ubmpdpo3LhxpdoA7vxl4bnnnsO0adNw4MABWFpaIjExURnn6NGj8fe//13ZxO/SpUtG57u4uCAsLAwrVqxAXFwchgwZohy7u/HvvfNXXFyMvXv3ljl/RNTwMW4YY9xg3CBSS0xMDNavX4/U1FSjcldXV+Tl5RldxFe0rlbG008/jV9//RVNmjQptQ45ODiUeV6bNm1w8OBBo82vd+7cCa1Wq2yObuqcPXv2GJXdv14//fTTOHLkSKm+tGzZssxfAly2bBn69u2LjIwMo1ffvn1NboJ+r7tt3h9/7uXn5weDwYCffvrJ5HFXV1dcv37daC7K+27s7e2h1+srjEv29vbo06cPli5diq+//hpr167FlStXyh3P/Y4ePYqkpCTljuinnnoKJSUluHDhQqn5dXd3L7Odir6XiuaorHl2dXU1+rvCtWvXjO6Ma9OmDU6fPo3Tp08rZUeOHMHVq1eN5qpVq1Z47733sHnzZrz22mvKXcBlxf9WrVopiTlzc3OEhIRg9uzZyMzMRG5uLrZu3Vr2pD6MVHyMkB4h929iK3JnLwxPT0/5+OOPRUTkH//4h7i4uEhcXJxkZ2dLenq6LFy4UHke95///KesW7dOfv31Vzl8+LC8/PLL0rFjRxG5s5eEl5eXvPHGG3L8+HHZsGGD+Pr6lrtXSHx8vNjY2MiBAwfk4sWLcuvWLcnIyBAAEhsbKydOnJAvv/xSPD09jZ43Tk1NFa1WKx9//LEcP35cPvnkk1Kb2CYmJoqFhYV8+umncvz4cWUT23ufg75fTEyMODs7S2JiomRlZcmwYcNKbWJb0RxVtFeIwWCQzp07i7+/v/zwww+Sk5MjO3fulMmTJ8vevXtFpOL9AXbv3i0zZ86UvXv3ysmTJ+Wbb74RS0tL2bhxo4iIPPXUU9K9e3c5cuSI7N69W4KDg8Xa2rrUs9mbN28WS0tLk8+QjxkzRvR6vWzatMloE9srV66UOX9E1LAwbjBuMG4Q1Q+m1uOBAweKlZWV0R5FR44cEY1GIzExMZKdnS3//ve/xcnJqdQeU/e3df8m3iLG+/rcuHFDfHx85K9//ats375dfvvtN9m2bZuMGjVK2SDdVLs3btwQDw8P6dWrlxw6dEi2bt0qLVq0KHfz85MnT4qlpaW8//77cvToUYmPjxd3d3ejdfLgwYNibW0tI0aMkAMHDsjx48dl3bp1MmLECJNtXrhwQSwsLGTTpk2ljm3cuFF0Op3yQw0AJDEx0ajO77//LhqNRuLi4uTChQvKjz7cP2+DBw8WLy8vSUxMVObo66+/FhGRy5cvi42NjYwePVqys7MlPj5e9Hp9uXtMzZ8/X+zt7SUhIUGOHj0qEyZMMNr8fO7cubJq1SrJysqSY8eOSUREhLi7uxvtH3avqKgo5QdEzpw5I5mZmbJw4UJp0qSJPPPMM8q4RET69+8v3t7esnbtWvntt98kLS1N/vWvf8mGDRtExPQeU5X5Xsqbo7LmeeLEieLu7i7bt2+XzMxMCQsLE1tbW2WPKYPBIAEBARIcHCzp6emSlpZmtPn5zZs3ZcSIEbJt2zbJzc2VHTt2yOOPPy7jx48XkTv7MN67+XlcXJzR5ufr16+XBQsWyIEDByQ3N1c+/fRT0Wq1cvjwYZPz/LBiYorqhKlgISISHR0trq6uUlBQIAaDQWJjY8XX11csLCzE1dVVQkND5aeffhIRkRkzZkibNm3E2tpanJ2dpWfPnvLbb78pbe3YsUP8/PzEyspKgoODZfXq1eVeYNy6dUt69eoljo6OAkD5wz9v3jzx8PAQa2trCQ0NlS+//LLUX9qXLVsmTZs2FWtra+nRo4fMmTOn1IaCn376qbRo0UIsLCykVatW8uWXX5Y7R8XFxTJmzBixt7cXR0dHiYyMlEGDBhnNW0VzVJlfV7p27ZqMGjVK9Hq9WFhYiJeXl/Tv31/ZsK+iC4wjR45IaGiouLq6ik6nk1atWsknn3yi1N2/f7906NBBrKysxMfHR1avXm1y00CDwSDNmjUzubHvn3/+KaNGjZLGjRuLTqeT5557Ttk8kIgeDYwbjBuMG0T1g6n1OCcnRywtLeX++xwWL14sXl5eYmNjI4MGDZKZM2fWODElInLu3DkZNGiQ8me8RYsWMmzYMMnPzy+zXRGRzMxM6dq1q1hZWYmzs7MMGzbMKAFiyvr166Vly5ai0+kkODhYli9fXmqd3LNnj3Tv3l1sbW3FxsZGnnzyyVIbhd81Z84ccXR0lKKiolLHCgsLxdHRUfmVNVOJKRGR6dOni7u7u2g0GiWxdv+8/fnnn/Lee++Jh4eHWFpaSsuWLWX58uXK8cTERGnZsqVYW1vLyy+/LEuWLCk3MVVSUiJTp04VT09PsbCwEH9/f6Pk2pIlSyQgIEBsbGzE3t5eunXrJvv37y9zXqOiogSAABAzMzNxdnaWzp07y/z580v9wEZRUZFMmTJFvL29xcLCQjw8POTVV1+VzMxMETGdmBKp+HupaI5MzXN+fr706dNH7O3txcvLS+Li4ow2Pxe5k9B85ZVXxMbGRuzs7OSNN95QNtgvLCyUvn37ipeXl1haWoper5eRI0cabZS/Zs0aadu2rVhYWMhjjz2m/AOcyJ0N3Lt06SJOTk5ibW0tTz75pJJMa0g0Ivc9MElEVAcKCgrg6emJFStW4LXXXlO7O0REVM8xbhARETVM3PyciOqUwWDApUuXMHfuXDg6OuKVV15Ru0tERFSPMW4QERE1bExMEVGdOnXqFJo3b46mTZsiLi4O5uZchoiIqGyMG0RERA0bH+UjIiIiIiIiIiJVaNXuABERERERERERPZqYmCIiIiIiIiIiIlUwMUVERERERERERKpgYoqIiIiIiIiIiFTBxBQREREREREREamCiSkiIiIiIiIiIlIFE1NERERERERERKQKJqaIiIiIiIiIiEgVTEwREREREREREZEq/h9Ftsic3wIGRQAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  0.75\n",
            "Varianza:  0.1875\n",
            "Sesgo:  -1.1547005383792515\n",
            "Curtosis:  -0.6666666666666665\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **5. En un proceso de control de calidad, cada producto tiene una probabilidad del 10% de ser defectuoso. Si se seleccionan al azar 15 productos, calcule la probabilidad de que exactamente 2 sean defectuosos.**\n"
      ],
      "metadata": {
        "id": "FqunryoyJdJ0"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import binom\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución binomial\n",
        "n = 15  # número total de productos seleccionados\n",
        "p = 0.1  # probabilidad de que un producto sea defectuoso\n",
        "\n",
        "# Calcular la probabilidad de obtener exactamente 2 productos defectuosos\n",
        "probabilidad = binom.pmf(2, n, p)\n",
        "print(f\"La probabilidad de que exactamente 2 de 15 productos sean defectuosos es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar la PMF y la CDF para todos los posibles números de productos defectuosos\n",
        "x = np.arange(0, n+1)\n",
        "pmf = binom.pmf(x, n, p)\n",
        "cdf = binom.cdf(x, n, p)\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución binomial\n",
        "random_variables = binom.rvs(n, p, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Productos Defectuosos\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='green')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Productos Defectuosos\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "\n",
        "# Dibujar el Histograma\n",
        "plt.subplot(1, 3, 3)\n",
        "\n",
        "plt.hist(random_variables, bins=range(n+2), align='left', color='orange', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Productos Defectuosos\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n",
        "mean, var, skew, kurt = binom.stats(n,p,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "QL2X7lS8NAwD",
        "outputId": "e31b1710-1498-48d5-b824-8e59c6fdd45e"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de que exactamente 2 de 15 productos sean defectuosos es: 0.2669\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  1.5\n",
            "Varianza:  1.35\n",
            "Sesgo:  0.6885303726590963\n",
            "Curtosis:  0.3407407407407406\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **6. Un servicio de atención al cliente recibe en promedio 5 llamadas por hora. ¿Cuál es la probabilidad de que reciban exactamente 3 llamadas en una hora específica?**\n"
      ],
      "metadata": {
        "id": "FkbXbd5GJeCA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import poisson\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución de Poisson\n",
        "lambda_ = 5  # tasa media de llamadas por hora\n",
        "\n",
        "# Generar la PMF y la CDF para el rango de eventos\n",
        "x = np.arange(0, 15)\n",
        "pmf = poisson.pmf(x, lambda_)\n",
        "cdf = poisson.cdf(x, lambda_)\n",
        "\n",
        "# Calcular la probabilidad de recibir exactamente 3 llamadas\n",
        "probabilidad = poisson.pmf(3, lambda_)\n",
        "print(f\"La probabilidad de recibir exactamente 3 llamadas en una hora es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución de Poisson\n",
        "random_variables = poisson.rvs(lambda_, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Llamadas\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='orange')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Llamadas\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "\n",
        "\n",
        "# Dibujar el Histograma\n",
        "\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.hist(random_variables, bins=range(16), align='left', color='green', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Llamadas\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "mean, var, skew, kurt = poisson.stats(lambda_,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "ZpLEzLlfNXY4",
        "outputId": "a4f0baee-e0ed-459d-fc22-9fdb204ffeb7"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de recibir exactamente 3 llamadas en una hora es: 0.1404\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  5.0\n",
            "Varianza:  5.0\n",
            "Sesgo:  0.4472135954999579\n",
            "Curtosis:  0.2\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **7. Si la probabilidad de que un cliente compre un producto en una tienda es del 20%, encuentre la probabilidad de que el primer cliente que compre el producto sea el quinto en visitar la tienda.**\n",
        "\n"
      ],
      "metadata": {
        "id": "9y7TjlslJe0z"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import geom\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Probabilidad de compra (éxito) del 20%\n",
        "p = 0.2\n",
        "\n",
        "# Calcular la probabilidad de que el primer éxito ocurra en el quinto intento\n",
        "probabilidad = geom.pmf(5, p)\n",
        "print(f\"La probabilidad de que el primer cliente que compre sea el quinto en visitar es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar la PMF y la CDF\n",
        "x = np.arange(1, 11)\n",
        "pmf = geom.pmf(x, p)\n",
        "cdf = geom.cdf(x, p)\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución geométrica\n",
        "random_variables = geom.rvs(p, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Clientes Antes del Primer Comprador\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='red')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Clientes Antes del Primer Comprador\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "\n",
        "# Dibujar el Histograma\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.hist(random_variables, bins=range(1, 12), align='left', color='green', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Clientes Antes del Primer Comprador\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "mean, var, skew, kurt = geom.stats(p, moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "v0LuRco5N3TQ",
        "outputId": "503cb18f-60d7-4d2c-8f7c-d12b8b0b94cf"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de que el primer cliente que compre sea el quinto en visitar es: 0.0819\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  5.0\n",
            "Varianza:  20.0\n",
            "Sesgo:  2.0124611797498106\n",
            "Curtosis:  6.05\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "\n",
        "## **8. En una urna hay 20 bolas, 6 de las cuales son rojas y las restantes azules. Si se extraen 5 bolas sin reemplazo, ¿cuál es la probabilidad de obtener exactamente 3 bolas rojas?**"
      ],
      "metadata": {
        "id": "ZQcxioyzHVfA"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import hypergeom\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución hipergeométrica\n",
        "M = 20  # tamaño total de la población (total de bolas en la urna)\n",
        "n = 6   # número total de éxitos en la población (bolas rojas)\n",
        "N = 5   # tamaño de la muestra (bolas extraídas)\n",
        "\n",
        "# Rango de posibles éxitos en la muestra\n",
        "x = np.arange(0, n+1)\n",
        "\n",
        "# Calcular la PMF y la CDF\n",
        "pmf = hypergeom.pmf(x, M, n, N)\n",
        "cdf = hypergeom.cdf(x, M, n, N)\n",
        "\n",
        "# Calcular la probabilidad de obtener exactamente 3 bolas rojas\n",
        "probabilidad = hypergeom.pmf(3, M, n, N)\n",
        "print(f\"La probabilidad de obtener exactamente 3 bolas rojas es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución hipergeométrica\n",
        "random_variables = hypergeom.rvs(M, n, N, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='maroon', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Bolas Rojas\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='black')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Bolas Rojas\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "\n",
        "\n",
        "# Dibujar el Histograma\n",
        "#plt.figure(figsize=(6, 4))\n",
        "plt.subplot(1, 3, 3)\n",
        "plt.hist(random_variables, bins=np.arange(7) - 0.5, align='mid', color='brown', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Bolas Rojas\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n",
        "rv= hypergeom(M, k, N)\n",
        "mean, var, skew, kurt =rv.stats(moments= \"msvk\")\n",
        "print(\"Media: \", mean)\n",
        "print(\"Varianza: \", var)\n",
        "print(\"Sesgo: \", skew)\n",
        "print(\"Curtosis: \", kurt)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "IaSLk29PGyCX",
        "outputId": "578ca8f2-7910-409f-9d9c-cf63f0cdc2c5"
      },
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de obtener exactamente 3 bolas rojas es: 0.1174\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  0.5\n",
            "Varianza:  0.35526315789473684\n",
            "Sesgo:  0.7456626602736544\n",
            "Curtosis:  -0.41975308641975306\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **9. Un test diagnóstico para una enfermedad tiene una precisión del 95%. Si se aplica a un paciente que se sabe está enfermo, ¿cuál es la probabilidad de que el test arroje un resultado positivo (correcto)?**\n"
      ],
      "metadata": {
        "id": "_6LbzRkVJgAn"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import bernoulli\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución de Bernoulli\n",
        "p = 0.95  # probabilidad de un resultado positivo correcto\n",
        "\n",
        "# La PMF y la CDF\n",
        "x = [0, 1]  # 0 para resultado negativo, 1 para resultado positivo\n",
        "pmf = bernoulli.pmf(x, p)\n",
        "cdf = bernoulli.cdf(x, p)\n",
        "\n",
        "# Generar un histograma de variables aleatorias\n",
        "random_variables = bernoulli.rvs(p, size=1000)\n",
        "\n",
        "# Mostrar la probabilidad de un resultado positivo correcto\n",
        "print(f\"La probabilidad de un resultado positivo correcto es: {p:.2f}\")\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xticks(x, ['Negativo', 'Positivo'])\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='green')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xticks(x, ['Negativo', 'Positivo'])\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "# Dibujar el Histograma\n",
        "\n",
        "plt.subplot(1, 3, 3)\n",
        "\n",
        "plt.hist(random_variables, bins=np.arange(-0.5, 2, 1), align='mid', color='red', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xticks([0, 1], ['Negativo', 'Positivo'])\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 526
        },
        "id": "uaXrec3wPP4K",
        "outputId": "1f8d2137-3649-4980-dd2b-2e44c071c944"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de un resultado positivo correcto es: 0.95\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **10. En un grupo de 20 personas, 7 son zurdas. Si se seleccionan 5 personas al azar, ¿cuál es la probabilidad de que exactamente 2 sean zurdas?**\n"
      ],
      "metadata": {
        "id": "jKn0maHjJgus"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import hypergeom\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución hipergeométrica\n",
        "M = 20  # tamaño de la población\n",
        "n = 7   # número total de zurdas en la población\n",
        "N = 5   # tamaño de la muestra\n",
        "\n",
        "# Calculando la probabilidad de que exactamente 2 de las personas seleccionadas sean zurdas\n",
        "k = 2  # número deseado de zurdas en la muestra\n",
        "probabilidad = hypergeom.pmf(k, M, n, N)\n",
        "print(f\"La probabilidad de que exactamente 2 de 5 personas seleccionadas sean zurdas es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar la PMF y la CDF para el rango de zurdas posibles en la muestra\n",
        "x = np.arange(0, n+1)\n",
        "pmf = hypergeom.pmf(x, M, n, N)\n",
        "cdf = hypergeom.cdf(x, M, n, N)\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución hipergeométrica\n",
        "random_variables = hypergeom.rvs(M, n, N, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Zurdas en la Muestra\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='green')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Zurdas en la Muestra\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "#plt.show()\n",
        "\n",
        "# Dibujar el Histograma\n",
        "#plt.figure(figsize=(6, 4))\n",
        "plt.subplot(1, 3, 3)\n",
        "\n",
        "plt.hist(random_variables, bins=range(n+2), align='left', color='orange', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Zurdas en la Muestra\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "plt.tight_layout()\n",
        "\n",
        "plt.show()\n",
        "\n",
        "mean, var, skew, kurt = hypergeom.stats(M, n, N,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "LO0s8_V9PeXs",
        "outputId": "5673679e-8bce-4fb4-ca62-34736a44f4ef"
      },
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de que exactamente 2 de 5 personas seleccionadas sean zurdas es: 0.3874\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  1.75\n",
            "Varianza:  0.8980263157894737\n",
            "Sesgo:  0.1758750435167848\n",
            "Curtosis:  -0.25296272355095883\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "## **11. Un examen consta de 20 preguntas tipo verdadero o falso. Si un estudiante responde al azar, ¿cuál es la probabilidad de que acierte exactamente 10 preguntas?**\n"
      ],
      "metadata": {
        "id": "3INIW7fGJhxk"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.stats import binom\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "\n",
        "# Parámetros de la distribución binomial\n",
        "n = 20  # número total de preguntas\n",
        "p = 0.5  # probabilidad de acertar cada pregunta\n",
        "\n",
        "# Generar la PMF y la CDF para todos los posibles números de aciertos\n",
        "x = np.arange(0, n+1)\n",
        "pmf = binom.pmf(x, n, p)\n",
        "cdf = binom.cdf(x, n, p)\n",
        "\n",
        "# Calcular la probabilidad de acertar exactamente 10 preguntas\n",
        "probabilidad = binom.pmf(10, n, p)\n",
        "print(f\"La probabilidad de acertar exactamente 10 preguntas es: {probabilidad:.4f}\")\n",
        "\n",
        "# Generar un histograma de variables aleatorias de la distribución binomial\n",
        "random_variables = binom.rvs(n, p, size=1000)\n",
        "\n",
        "# Dibujar el PMF\n",
        "plt.figure(figsize=(12, 5))\n",
        "plt.subplot(1, 3, 1)\n",
        "plt.bar(x, pmf, color='blue', alpha=0.7)\n",
        "plt.title(\"Función de Masa de Probabilidad (PMF)\")\n",
        "plt.xlabel(\"Número de Aciertos\")\n",
        "plt.ylabel(\"Probabilidad\")\n",
        "\n",
        "# Dibujar el CDF\n",
        "plt.subplot(1, 3, 2)\n",
        "plt.step(x, cdf, where='mid', color='green')\n",
        "plt.title(\"Función de Distribución Acumulada (CDF)\")\n",
        "plt.xlabel(\"Número de Aciertos\")\n",
        "plt.ylabel(\"Probabilidad Acumulada\")\n",
        "\n",
        "#plt.tight_layout()\n",
        "#plt.show()\n",
        "\n",
        "# Dibujar el Histograma\n",
        "#plt.figure(figsize=(6, 4))\n",
        "plt.subplot(1, 3, 3)\n",
        "\n",
        "plt.hist(random_variables, bins=range(n+2), align='left', color='orange', alpha=0.7)\n",
        "plt.title(\"Histograma de Variables Aleatorias\")\n",
        "plt.xlabel(\"Número de Aciertos\")\n",
        "plt.ylabel(\"Frecuencia\")\n",
        "plt.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "\n",
        "mean, var, skew, kurt = binom.stats(n,p,moments = \"msvk\")\n",
        "\n",
        "print(\"Media: \", mean)\n",
        "\n",
        "print(\"Varianza: \", var)\n",
        "\n",
        "print(\"Sesgo: \", skew)\n",
        "\n",
        "print(\"Curtosis: \", kurt)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 601
        },
        "id": "f-xPHax5Psos",
        "outputId": "6f8bbca4-8dbf-4910-9ac6-96eae3d5f489"
      },
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "La probabilidad de acertar exactamente 10 preguntas es: 0.1762\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x500 with 3 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Media:  10.0\n",
            "Varianza:  5.0\n",
            "Sesgo:  0.0\n",
            "Curtosis:  -0.1\n"
          ]
        }
      ]
    }
  ]
}