experiments.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# PPGEE0260: Modelagem e Simulação Discreta de Sistemas\n",
    "\n",
    "Aluno: Carlos André de Mattos Teixeira\n",
    "\n",
    "Código baseado em: https://github.com/williewheeler/stats-demos/blob/master/queueing/single-queue-sim.ipynb "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "## Descrição\n",
    "Objetivo: Adicionar dois novos eventos no simulador de fila M/M/1.\n",
    "\n",
    "O código fornecido durante a aula contém um exemplo de simulação M/M/1, ou seja, um sistema de fila que contém um único servidor com chegadas e tempos de serviço determinados por uma distribuição exponencial, neste caso.  A simulação em questão representa um sistema de filas com um pré-determinado número de clientes a serem atendidos ao longo da execução da simulação. A chegada de clientes obedece uma distribuição exponencial, gerada por um processo de Poisson com taxa $\\lambda$. Os tempos de serviço também são distribuídos exponencialmente, com uma taxa fixa $\\mu$\n",
    "\n",
    "A Figura 1 ilustra o diagrama de transição entre estados deste sistema M/M/1. Caso um pacote esteja sendo atendido durante a chegada de outros pacotes, a fila é incrementada e os pacotes em espera são atendidos em uma política FIFO. \n",
    "\n",
    "Cada execução é realizada com base em certos parâmetros pré-estabelecidos. Dentre eles estão o tempo médio de que os pacotes passam na fila, o atraso médio e a utilização do servidor $P = \\lambda / (c*\\mu)$, onde 𝝺 representa o tempo médio de serviço, $c$ o número de servidores do sistema (no caso, 1) e 𝝻 o tempo médio de chegada. Ao final de cada execução são calculadas e exibidas as métricas de desempenho.\n",
    "\n",
    "\n",
    "![image](images/mm1-diagram.png)\n",
    "\n",
    "A proposta deste trabalho é incrementar a simulação estudada em sala adicionando 2 novos tipos de eventos, listados a seguir. Considerando que o sistema representa um fila de atendimento atendida por apenas um servidor, o eventos que podem ocorrer durante o antendimento são os seguintes (os eventos 2 e 3 foram adicionados):\n",
    "\n",
    "1. **Atendimento sem ocorrências**\n",
    "- Neste caso o atendimento do cliente ocorre normalmente, de acordo com o tempo médio esperado.\n",
    "    \n",
    "2. **Atendimento com ocorrências**\n",
    "- Este caso simula a ocorrência de um imprevisto, causando um atendimento mais demorado.\n",
    "    \n",
    "3. **Impossibilidade de Atendimento**\n",
    "- Este caso simula a impossibilidade de atendimento de um cliente, que é dispensado após chegar no servidor.\n",
    "\n",
    "\n",
    "## Métricas de Desempenho\n",
    "\n",
    "As seguintes métricas de desempenho serão utilizadas para avaliar cada simulação do sistema de filas M/M/1:\n",
    "\n",
    "- **Duração Total:** Duração total da simulação.\n",
    "\n",
    "- **Taxas Médias:**\n",
    "    - Taxa de Chegada ($\\lambda$): Número de clientes que chegam no sistema por unidade de tempo.\n",
    "    - Tempo entre Chegadas ($1/\\lambda$): Tempo entre duas chegadas consecutivas.\n",
    "    - Tempo de Resposta: Tempo que os clientes passam no sistema\n",
    "    - Tempo de Espera: Tempo que os clientes esperam antes de serem atendidos.\n",
    "    - Taxa de Serviço ($\\mu$): Número de clientes atendidos por unidade de tempo.\n",
    "    - Tempo de Serviço($1/\\mu$): Duração do serviço.\n",
    "    - Clientes no Sistema: Número de clientes no sistema a cada instante de tempo.\n",
    "    - Clientes na Fila: Número de clientes na fila a cada instante de tempo.\n",
    "    - Throughput: Número médio de clientes atendidos por unidade de tempo.\n",
    "    - Utilização: Intensidade do tráfego."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set-up do Projeto"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Três simulações diferentes serão executadas para demostrar o comportamento do sistema em diferentes cenários:\n",
    "\n",
    "- **Experimento 1:** Sistema com Carga Baixa ($\\lambda << \\mu$)\n",
    "- **Experimento 2:** Sistema com Carga Moderada ($\\lambda \\approx \\mu$)\n",
    "- **Experimento 3:** Sistema com Carga Alta ($\\lambda >> \\mu$)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "# Recarregar módulos automaticamente\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "   \n",
    "from src.source import *\n",
    "from src.settings import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experimento 1: Sistema com Carga Baixa ($\\lambda < \\mu$)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "O Experimento 1 tem como objetivo simular um sistema de fila M/M/1 com baixa carga, ou seja, a taxa de chegada de clientes é consideravelmente menor do que a taxa média de atendimento. É de se esperar que o servidor ficara ocioso grande parte do tempo.\n",
    "\n",
    "|Parâmetros                  |Variável              | Valor  |\n",
    "|----------------------------|----------------------|--------|\n",
    "|Número de Clientes          |`NUM_JOBS`            |   500  |\n",
    "|Taxa Média de Chegada       |`MEAN_ARRIVAL_RATE`   |   8    |\n",
    "|Taxa Média de Atendimento   |`MEAN_SERVICE_RATE`   |   32   |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulação\n",
      "-------------------------\n",
      "Número de Clientes:              = 500.0000\n",
      "Taxa Média de Chegada (Lambda)   = 8.0000\n",
      "Taxa Média de Serviço (Mu)       = 32.0000\n",
      "Tempo Médio Entre Chegadas       = 0.1250\n",
      "Tempo Médio de Serviço           = 0.0312\n",
      "\n",
      "\n",
      "\n",
      "Estatísticas de Simulação\n",
      "-------------------------\n",
      "Duração Total                   = 63.2420\n",
      "\n",
      "\n",
      "\n",
      "Taxas Médias:\n",
      "\n",
      "Taxa de Chegada                 = 7.9027\n",
      "Tempo entre Chegadas            = 0.1265\n",
      "Tempo de Resposta               = 0.1048\n",
      "Tempo de Espera                 = 0.0545\n",
      "Taxa de Serviço                 = 19.8916\n",
      "Tempo de Serviço                = 0.0503\n",
      "Clientes no Sistema             = 0.8283\n",
      "Clientes na Fila                = 0.4308\n",
      "Throughput                      = 7.8125\n",
      "Utilização                      = 0.3975\n",
      "\n",
      "\n",
      "\n"
     ]
    },
    {
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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "parameters = generate_parameters(500, 8, 32)\n",
    "results_sim1 = run_sim_and_plot(parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simulação do experimento 1 foi executada com uma duração total de 63.2 unidades de tempo.\n",
    "\n",
    "Com a taxa média de chegada de 8.0 clientes e taxa média de serviço de 32.0, os 500 clientes que chegaram no sistema foram atendidos de forma tranquila. No diagrama de Gantt é possível observar diversos espaços de tempo em que o servidor está ocioso.\n",
    "\n",
    "Ao longo da simulação, a ocorrência de eventos do tipo 2 causou atrasos pontuais. Este fato pode ser observado no gráfico de Número de Clientes na Fila, que apresenta alguns picos de clientes ao longo do tempo.\n",
    "\n",
    "O último gráfico ilustra o impacto dos eventos de tipo 2, com elevados tempos de atendimento em relação aos eventos 1 e 3.\n",
    "\n",
    "**Por fim, a utilização do sistema foi de apenas 0.3975, o que indica um possível desperdício de recursos, visto que o sistema fica ocioso por muito tempo.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experimento 2: Sistema com Carga Moderada ($\\lambda \\approx \\mu$)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "O Experimento 2 tem como objetivo simular um sistema de fila M/M/1 com carga moderada, ou seja, a taxa de chegada de clientes é similar da taxa média de atendimento. Neste cenário, apesar de em teoria o servidor conseguir atender aos clientes sem grandes problemas, a introdução dos atrasos dos eventos do tipo 2 deve introduzir um alto nível de estresse no sistema.\n",
    "\n",
    "|Parâmetros                  |Variável              | Valor  |\n",
    "|----------------------------|----------------------|--------|\n",
    "|Número de Clientes          |`NUM_JOBS`            |   500  |\n",
    "|Taxa Média de Chegada       |`MEAN_ARRIVAL_RATE`   |   32   |\n",
    "|Taxa Média de Atendimento   |`MEAN_SERVICE_RATE`   |   32   |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulação\n",
      "-------------------------\n",
      "Número de Clientes:              = 500.0000\n",
      "Taxa Média de Chegada (Lambda)   = 28.0000\n",
      "Taxa Média de Serviço (Mu)       = 32.0000\n",
      "Tempo Médio Entre Chegadas       = 0.0357\n",
      "Tempo Médio de Serviço           = 0.0312\n",
      "\n",
      "\n",
      "\n",
      "Estatísticas de Simulação\n",
      "-------------------------\n",
      "Duração Total                   = 24.6185\n",
      "\n",
      "\n",
      "\n",
      "Taxas Médias:\n",
      "\n",
      "Taxa de Chegada                 = 28.3666\n",
      "Tempo entre Chegadas            = 0.0353\n",
      "Tempo de Resposta               = 4.1138\n",
      "Tempo de Espera                 = 4.0648\n",
      "Taxa de Serviço                 = 20.4199\n",
      "Tempo de Serviço                = 0.0490\n",
      "Clientes no Sistema             = 83.5502\n",
      "Clientes na Fila                = 82.5555\n",
      "Throughput                      = 20.0000\n",
      "Utilização                      = 0.9946\n",
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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44YeyLEuDBw8O+nl37NhRXbp00UcffaSDBw8GFuyaNGmS7rjjDmVmZiohISHosuXDtWzZUmVlZSosLAz7omIAIHHJMQAcl+Li4qASeqT4+Hh99dVXev311/X1119r27Zt+vHHHyUpsNLo999/r4qKisAlhoc77bTTqiy0h5cJ6ZcFj77//ns98cQT2rJli7Zt21bjM08P//xDvwBXtc/DC2JtjqUq27dvlyS1atWqyuNbs2aNpP8+GzM3N7faR4oUFBRU+3VSUlK0detWlZWVBV3yevnll+u0004LfPzss89q6dKlx3Vcbre70mXgCQkJgXtoQ+W6667T9ddfL+mXgulyudSyZUudcsopQe+Li4tTUVGRnn76af373//Wtm3b9J///Cfwczsy15E/4+3bt6tVq1aViuvRVsEtKyvT//7v/2r9+vXatm2b8vPzVV5eXuXXrMmhe7QP/0PHIYcuN+7YsWPQvZznnXeeFi5cqFdffbXG+6W3bdsmy7KC/gBxuEN/FDjkyH+PD/1x59DxbN++XSeffHKlzzt8tmpy5Pf+UEk/fPuh2Tr08wv1MVTl0Pe2TZs2lV5r27atli5dqqKiIvl8Pt1yyy3Kzc3V559/Lrfbra5du+raa6+tMt+hn2lRURGFFkBEUGgB4Bjt2bNH33//fbW/bErS2LFj9eKLL+rss89WRkaGrrvuOmVmZmrs2LGBcnZogZ/Dz44ecvj9cYc78n7DZ599VhMmTFCbNm107rnn6oorrlDHjh2Vm5sbKAaHq+oZpjWdaa7tsVTl0H4PP+N6yOG/aB8qRAMGDAjcM3mk008/vdqvk5mZqU8//VRfffWVLrroosB2j8cT9DiYRYsWHfdxVXVPczi0bNky6Biq8+abb+r+++9XSkqKLrjggsAiTUuXLtXTTz9d6f1H5i8vLz/qz/1Iy5cv18CBA5WYmKiLLrpIvXr10tlnn61t27bpf/7nf45pX4fyHFm4Dh48qMWLF0uSHnnkkSo/d+HChTUW2oqKCjVs2FBPPfVUla8f+e/W0X62cXFx2r9/f5Vfpzaqe25wTd//UB9DVaq6quHwry8p8Aei0aNHKysrS2+//bY+/vhjvf3223r99dfVt2/fSj/7Q58bqX9nAIBCCwDHaPHixbIsS5dddlmVr2/fvl0vvviirrvuOk2YMCHotcMvUT109qKq55R+9913R82xf/9+TZ06Veeff76ee+65oF+cD18M6kTU9liq0qJFC8XFxVV5LIefeTt0VrBu3bqVytyWLVuUn5+vBg0aVPt1rrnmGv31r3/V3//+91qVQenEjssOJk2apNatW2v+/PlKTEwMbK/qjxhVad68eeDS68N99NFHevPNNzVs2LBKrz355JNyuVx64403gs4Izpgx45jzHzrjXFxcHLT90FnBX/3qV0GX+B4yadIkbdmyRWvWrFGHDh2q3HeLFi20dOlStW/fXo0bNw56bfHixVVeMVCTli1basmSJdq1a1fQcR+6siAcQn0MVTl0mfPXX3+tjh07Br32zTffKDExUSeddJJ27typzZs368ILL9SgQYM0aNAgFRUVKTs7W3PmzNGwYcPUqFGjwOce+pkeeVUBAIQLfz4DgGOwY8cOPfnkk0pNTa32+Zk//fSTpMpnFT/66CN9++23gTOzJ598sjIzM/X6668HPkf65RflQ4/kqUlpaan27dunU089NajMbtiwQV9++aWk4Me8HI/aHktVmjZtqs6dO2vRokVBJXHlypVav3594OOUlBS1b99er7zyStDl0mVlZXrggQd011131fh12rRpo4EDB2rJkiWaPHlylWfOli5dGvQ9PZHjqk5VZx0PnVEP9aXJxcXFat68eVCZLSgo0DvvvCPpv2e9q3PxxRdr586devfdd4O2//3vf9eSJUuCVqA+/Gs2bdo0qNTt3r078HzYo33NwzVv3lySgh4xJP23kN9+++26/PLLK/2vf//+khT0DOg6deoEfX8PPT5r+vTpQfv+4IMPdPfdd9e69B9y6F7X5557LrDNsiz94x//OKb9HItQH4NU+ft06aWXSpJmzpwZdLZ2/fr1+uyzz3TJJZcoLi5OCxYs0K233qq1a9cG3tOkSRO1bt1acXFxlc7E+v1+JSQkVLrUGgDChTO0AFCN9957L/CL/f79+/X1119r4cKF2r9/v2bOnBm00MvhTj/9dDVv3lwzZszQ/v375fF4tGbNGr3yyiuqX7++9u7dG3jviBEjlJWVpRtvvFH9+vXTgQMHlJubW6sCdNJJJ6ljx45asGCBkpKS1KZNG23evFlz584N/JK5d+9enXTSScf9PTiWY6nKiBEjNGDAAPXp00cDBgzQvn37NGvWrEqF6cEHH9Tvfvc79erVSzfddJPcbrfeeOMNrV69Wvfdd1+VBetwd999t0pKSvT000/rnXfe0VVXXaUWLVqoqKhIH3zwgVauXKmkpKTAc2hP9LiqcqjovfTSS9q5c6euvfbaQO5FixbJsizdcMMN1V6CeiwuvvhivfnmmxozZozS09OVn5+vOXPmaN++fZJ01Pz9+vXT/Pnzde+992rAgAFq06aNlixZok8//VSPPvpolY/SufjiizVz5kzdfffd6tq1q3744QfNmzcv8MeKY/meNW/eXK1atdLq1asD20pKSvTBBx/o1FNPrbSI1SHXX3+9Jk2apDfffFOjR49WQkKCmjZtqi+//FJz5sxR165ddckll+iyyy7Tc889p+3bt+vCCy/U9u3bNXv2bDVv3lwDBw6sdU5JOv/883X11Vdr5syZ+uGHH9ShQwd98MEHQX+UCbVQH4P0y3xu3LhR//jHP3TeeefpjDPOUFZWlnJzc/X73/9el19+uX744Qfl5uaqcePGuu+++yT98j1//vnnNWTIEN10001KTU3VunXrtHDhQt1www2V7uddvXq1zj333GN6hBMAnAgKLQBU49BzWKVf7iVLTU1V9+7dNWjQoCoXUjkkISFBf/vb3zR+/Hi98MILsixLrVq10gMPPKCDBw9q3LhxWrdundq3b6/MzEw988wz+t///V9NmTJFbrdbWVlZ2rp1q95+++2jZnziiSeUk5Oj+fPn68CBA2rRooUGDx6stm3b6s4779QXX3yhK6+88ri/B8dyLFVp3769cnNzNWnSJD311FNq3Lix7rjjDq1bt055eXmB92VmZuqll17S1KlT9fzzz+vgwYNq06aNxo8frxtuuOGoOePj4zVmzBhdffXVmjNnjl5//XUVFhaqQYMGOv3003X//ferT58+gXJ/osdVlQsvvFBXX321PvzwQ33xxRe64oor1LZtW2VlZWnBggVau3atzj///JBcLvrnP/9ZiYmJ+uCDD/Tqq6/K4/Ho+uuvV48ePXTTTTfpiy++0Nlnn13t57tcLuXm5mrKlCl64403tHv3brVt21ZTpkwJPOf1SHfeeafKy8v15ptv6sMPP1RKSoouuugi3XbbbfrNb36jL774Imjl3qO5+OKL9dZbb6miokJ16tTRe++9p5KSEvXs2bPaz2nUqJF+85vfaN68eXrvvff061//Wvfff78mTZqksWPHauzYsbr++uv1xBNP6JlnntHChQv1wQcfqGnTprriiit09913H9elsBMnTlSbNm30yiuv6K233tK5556ryZMn6/e///0x76s24uLiQn4Md955px5++GE9+uijys7O1umnn67Ro0erTZs2evnllzV+/HiddNJJ6tGjh+66667ArQApKSl64YUX9OSTT+rll19WcXGxWrRooTvuuKPSvcw///yzNm/eXOUl6wAQLnFWTasCAADCaufOnVX+cjpkyBBt3LhRS5YsiXwoIAI2bNgQOPtX23ufYW9z5szRX/7yF3344YdccgwgYriHFgAM6t27d6XLB3fu3Klly5ZVu+gNEA3OOussXXTRRYF7cOF8Cxcu1HXXXUeZBRBRFFoAMOi3v/2tli5dqvvuu09z5szRM888o/79+6uiokLZ2dmm4wFhde+99+rtt98OWvUazrR8+XJt2LBBQ4cONR0FQIzhkmMAMKiiokKzZ8/WnDlz9P3336t+/fry+Xy6++67deaZZ5qOB4TdX/7yF+3duzfonnU4T1ZWli677DLdeuutpqMAiDEUWgAAAACAI3HJMQAAAADAkaLisT0VFRUqL4+uE81168ZF3THB+ZhL2BFzCTtiLmFHzCXsqLZzGR9f+RnpUpQU2vJyS8XFJaZjhJTbnRh1xwTnYy5hR8wl7Ii5hB0xl7Cj2s5lcnKjKrdzyTEAAAAAwJEotAAAAAAAR6LQAgAAAAAciUILAAAAAHAkCi0AAAAAwJEotAAAAAAAR6LQAgAAAAAciUILAAAAAHAkCi0AAAAAwJEotAAAAAAAR6LQAgAAAAAciUILAAAAAHAkCi0AAAAAwJEotAAAAAAAR6LQAgAAAAAciUILAAAAAHAkCi0AAAAAwJEotAAAAAAAR6LQAgAAAAAciUILAAAAAHAkCi0AAAAAwJEotAAAAAAAR6LQAgAAAAAcKaKFdvXq1crKypIkfffdd7rpppvUv39/Pfzww6qoqJAkPfXUU7rxxhvVr18/rVmzJpLxACBs0n1epaQ0VkpKY6X7vKbjAAAARIV6kfpCM2fO1KJFi9SgQQNJUk5Oju655x6df/75GjNmjN5//301b95cX375pebOnauCggLdeeedmj9//lH3XfhDgR6Y+FC4DyGiEhLq6cCBg6ZjAEGYy+NXmO+Xb4VPkpTXKc9wGgAAgOgQsULbqlUrTZ06VcOHD5ckrV+/Xuedd54k6eKLL9ann36qNm3aqGvXroqLi1Pz5s1VXl6uXbt2qWnTpjXuu6y8TBnZmWE/hkhyueJVWlpmOgYQhLk8frlTZpmOAAAAEHUidsnxlVdeqXr1/tufLctSXFycJKlhw4bavXu39uzZo6SkpMB7Dm0HAAAAAOBIETtDe6Q6df7bpffu3avGjRsrKSlJe/fuDdreqFGjo+4rLi5OLld8WHKaUicKjwnOx1yGjtudaDpC1Khbtw7fT9gOcwk7Yi5hRyc6l8YK7dlnn61ly5bp/PPP18cff6wLLrhArVq10sSJEzVw4ED5/X5VVFQc9XJj6ZezvaX7o+sySC7thB0xl6FTXFxiOkLUcLsT+X7CdphL2BFzCTuq7VwmJ1d9otNYoR0xYoQeeughTZ48WaeddpquvPJK1a1bV+eee6769u2riooKjRkzplb7iq8br1XTVoY5cWSx+A7siLkEAACAncRZlmWZDnGiysrKo+6vTfwFDXbEXB6/lJTGQasc79jxs+FE0YO5hB0xl7Aj5hJ25NgztAAQS1LTPIHH9aSmeQynAQAAiA4UWgCIgLV5m0xHAAAAiDoUWgCIsHSfV4X5/qBtqWkeSi8AAMAxirpCO3F6jvxFBaZjnDAW34EdMZehUZjvD9xPe8ihy5EBAABQe1FXaP1FBcrIzjQd44TxeBTYEXMZGrlTZpmOAAAAEBXqmA4AAAAAAMDxoNACAAAAAByJQgsAAAAAcKSou4fW06SZVk1baTrGCWPxHdgRcwkAAAA7ibpCO2zoKNMRQsLtTlRxcYnpGEAQ5jI0WBQKAAAgNKKu0AKA3aWmeSo9pic1zWMoDQAAgHNRaAEgwtbmbTIdAQAAICpQaAHABtJ9XhXm+4O2paZ5KL8AAAA1iPpCO3F6jvxFBaZjHDMW34EdMZfhU5jvl2+FL2jbkZclAwAAIFjUF1p/UYEysjNNxzhmLle8SkvLTMcAgjCX4cNCUQAAAMeO59ACAAAAAByJQgsAAAAAcCQKLQAAAADAkaL+HlpPk2ZaNW2l6RjHjMV3YEfMJQAAAOwk6gvtsKGjTEc4Lm53ooqLS0zHAIIwl+HDolAAAADHLuoLLQA4QWqap9JjelLTPIbSAAAAOAOFFgBsYG3eJtMRAAAAHIdCCwA2le7zqjDfX+3rqWkeijAAAIhpMVloJ07Pkb+owHSMGrH4DuyIuYyswny/fCt81b5+5CXKAAAAsSYmC62/qEAZ2ZmmY9TI5YpXaWmZ6RhAEOYyslgoCgAAoGY8hxYAAAAA4EgUWgAAAACAI1FoAQAAAACOFJP30HqaNNOqaStNx6gRi+/AjphLAAAA2ElMFtphQ0eZjnBUbneiiotLTMcAgjCXkcWiUAAAADWLyUILAE6Qmuap8dE8qWmeCKYBAACwHwotANjU2rxNpiMAAADYGoUWABwq3edVYb4/8HFqmocSDAAAYkrMF9qJ03PkLyowHaMSFt+BHTGX9lKY75dvhS/wcU2XJwMAAESjmC+0/qICZWRnmo5RicsVr9LSMtMxgCDMpb2waBQAAIh1PIcWAAAAAOBIFFoAAAAAgCNRaAEAAAAAjhTz99B6mjTTqmkrTceohMV3YEfMJQAAAOwk5gvtsKGjTEeoktudqOLiEtMxgCDMpb2wKBQAAIh1MV9oAcCpUtM8QY/qSU3zGEwDAAAQeRRaAHCotXmbTEcAAAAwikWhACBKpPu8Svd5TccAAACIGM7QSpo4PUf+ogLTMYKw+A7siLm0t8J8v+kIAAAAEUWhleQvKlBGdqbpGEFcrniVlpaZjgEEYS7tjUWiAABArOGSYwAAAACAI1FoAQAAAACORKEFAAAAADgS99BK8jRpplXTVpqOEYTFd2BHzCUAAADshEIradjQUaYjVOJ2J6q4uMR0DCAIc2lv78xbbDoCAABARFFoASBKrM3bZDoCAABARFFoASCKpPu8Qc+jTU3zUHQBAEDUotACQBQpzPfLt8IX+DivU57BNAAAAOFFoT3CxOk58hcVmI7B4juwJeYSAAAAdkKhPYK/qEAZ2ZmmY8jlildpaZnpGEAQ5tL+cqfMMh0BAAAgYngOLQAAAADAkSi0AAAAAABHotACAAAAAByJe2iP4GnSTKumrTQdg8V3YEvMJQAAAOyEQnuEYUNHmY4gSXK7E1VcXGI6BhCEubS/d+YtDnpUT2qax2AaAACA8KLQAkAUWZu3yXQEAACAiOEeWgCIYuk+r1JSGivd5zUdBQAAIOQotAAQxQrz/fKt8Kkw3286CgAAQMhxyXENJk7Pkb+owMjXZvEd2BFzCQAAADuh0NbAX1SgjOxMI1/b5YpXaWmZka8NVIe5dJ7cKbNMRwAAAAgbLjkGAAAAADgShRYAAAAA4EgUWgAAAACAI3EPbQ08TZpp1bSVRr42i+/AjphLAAAA2AmFtgbDho4y9rXd7kQVF5cY+/pAVZhL53ln3mLldcpTaprHdBQAAICQo9ACQBRbm7fJdAQAAICwodACQAxI93lVmO8/5s9LTfNQigEAgG1RaAEgBhTm++Vb4Tvmz8vrlBeGNAAAAKFBoTVk4vQc+YsKqn2dxXdgR8wlAAAA7IRCa4i/qEAZ2ZnVvu5yxau0tCyCiYCjYy6dK3fKLNMRAAAAQo7n0AIAAAAAHIlCCwAAAABwJAotAAAAAMCRuIfWEE+TZlo1bWW1r7P4DuyIuQQAAICdUGgNGTZ0VI2vu92JKi4uiVAaoHaYS+d6Z97i43oET2qaJwxpAAAAQoNCCwAxYG3eJtMRAAAAQo5CCwCoVrrPq8J8/wnvJzXNQ6kGAAAhR6EFAFSrMN8v3wrfCe/neC53BgAAOBoKrQNMnJ4jf1GB6RgAi0IBAADAVii0DuAvKlBGdqbpGIBcrniVlpaZjoEIyp0yy3QEAACAavEcWgAAAACAI1FoAQAAAACORKEFAAAAADgS99A6gKdJM62attJ0DIBFoQAAAGArFFoHGDZ0lOkIgCTJ7U5UcXGJ6RiIoHfmLQ7JI3dS0zwhSAMAABCMQgsAqNbavE2mIwAAAFSLQgsACLt0n1eF+f5qX09N81CeAQDAMYt4oV29erUef/xx5ebmSpLeffddLV68WJMmTZIkrVq1SuPGjVPdunXVtWtX3XHHHZGOCAAIscJ8v3wrfNW+HorLmgEAQOyJaKGdOXOmFi1apAYNGkiS/vKXv2jp0qU666yzAu95+OGHNXXqVLVs2VKDBw/Wv/71L5199tmRjOkoE6fnyF9UYDoGYgSLQgEAAMBOIlpoW7VqpalTp2r48OGSJJ/Pp8svv1z//Oc/JUl79uzRgQMH1KpVK0lS165d9dlnn1Foa+AvKlBGdqbpGIgRLle8SkvLTMeAA+VOmWU6AgAAiEIRLbRXXnml8vPzAx//+te/1rJlywIf79mzR0lJSYGPGzZsqO+///6o+61bN05ud2JowxpWt26dWh1TQkI9uVzxEUgESHXi4pg3hM3x/v94bf//Eogk5hJ2xFzCjk50Lm21KFRSUpL27t0b+Hjv3r1q3LjxUT+vvNyKukeJ1PbxKAcOHOSMGSKGM7QIp+P9/3EeJwU7Yi5hR8wl7Ki2c5mc3KjK7XVCHehEJCUlKT4+Xtu2bZNlWVq6dKnOPfdc07EAAAAAADZkqzO0kvTII4/o/vvvV3l5ubp27aqOHTuajmRrnibNtGraStMxECNYFAoAAAB2EmdZlmU6xIkqKyuPussnuCQEdsRc4niF8zm0zCXsiLmEHTGXsKMTveTYdmdoAQDR53jLKgAAQE0otAAA43ztvcrfUf0ZXNPSUjzKW0cpBwDAbii0AADj8nf4teWUrqZjVOv0HUtNRwAAAFWg0EaJGRPGq3h7gekYiHIsCgUAAAA7odBGieLtBbrnjM6mYyDK8RxahMtkPW86AgAAcCBbPYcWAAAAAIDaotACAAAAAByJQgsAAAAAcCTuoY0S7hbNNGXzV6ZjIMqxKBQAAADshEIbJYYMH2k6AmKA252o4uIS0zEQhea8/5atH42TluIxHQEAAFSBQgsAMC5v3abj/lz+0AIAQOyi0AIAcBTpPq8K8/3H9DmpaR6tzTv+og4AAI6OQhtFJk7Pkb+owHQMRDHuoYUdRWIuC/P98q3wHdPn5HXKC1MaAABwCIU2iviLCpSRnWk6BqKYyxWv0tIy0zGAIJGYy9wps8K6fwAAcHx4bA8AAAAAwJEotAAAAAAAR6LQAgAAAAAciXtoo4inSTOtmrbSdAxEMRaFgh0xlwAAxC4KbRQZNnSU6QiIcjzvE3YUiblkUSgAAOyJQgsAwFGkpnmO+TE8qWmeMKUBAACHUGgBADiKtXmbTEcAAABVoNACABAGvvZe5e/wh3y/aSke5a2jYAMAIFFoY9KMCeNVvL3AdAw4EIvvwI7sOpf5O/zackrXkO/39B1LQ75PAACcikIbg4q3F+ieMzqbjgEHcrniVVpaZjoGEMSuczlZz5uOAABA1OM5tAAAAAAAR6LQAgAAAAAciUILAAAAAHAk7qGNQe4WzTRl81emY8CB7Lr4DmIbcwkAQOyi0MagIcNHmo4Ah3K7E1VcXGI6BhDErnM5+SUWhQIAINwotAAAhEFaiicsj9hJS/GEfJ8AADgVhRYAgDDIW7fJdAQAAKIehRYAAAdJ93lVmO8P2paa5tHaPAo0ACD2UGhj0MTpOfIXFZiOAQdi8R3YUazNZWG+X74VvqBteZ3yDKUBAMAsCm0M8hcVKCM703QMOJDLFa/S0jLTMYAgsTaXuVNmmY4AAIBt8BxaAAAAAIAjUWgBAAAAAI5EoQUAAAAAOBL30MYgT5NmWjVtpekYcKBYW3wHzsBcAgAQuyi0MWjY0FGmI8Ch3O5EFReXmI4BBIm1uWRRKAAA/otCCwCAg6SmeSo9pic1zWMoDQAAZlFoAQBwkLV5m0xHAADANlgUCgAAh0v3eZWS0lgpKY2V7vOajgMAQMRwhhaaOD1H/qIC0zHgACy+AztiLqXCfL98K3ySVOlyZAAAohmFFvIXFSgjO9N0DDiAyxWv0tIy0zGAIMwlC0UBAGIXlxwDAAAAAByJQgsAAAAAcCQKLQAAAADAkbiHFvI0aaZV01aajgEHYPEd2BFzCQBA7KLQQsOGjjIdAQ7hdiequLjEdAwgCHPJolAAgNhFoQUAwOFS0zyBx/WkpnkMpwEAIHIotAAAONzavE2mIwAAYASFFgCAKJLu86ow319pe2qah+ILAIg6FFrUaOL0HPmLCkzHgE2w+A7siLkMVpjvl2+Fr9L2Q5ckAwAQTSi0qJG/qEAZ2ZmmY8AmXK54lZaWmY4BBGEug7FAFAAglvAcWgAAAACAI1FoAQAAAACORKEFAAAAADgS99CiRp4mzbRq2krTMWATLL4DO2IuAQCIXRRa1GjY0FGmI8BG3O5EFReXmI4BBGEug7EoFAAgllBoAQCIIqlpniof0ZOa5jGQBgCA8KLQAgAQRdbmbTIdAQCAiGFRKAAAYkC6z6uUlMZK93lNRwEAIGQ4Qwv8v4nTc+QvKjAdw9ZYfAd2xFzWTmG+X74VviovRwYAwKkotMD/8xcVKCM703QMW3O54lVaWmY6BhCEuawdFosCAEQjLjkGAAAAADgShRYAAAAA4EgUWgAAAACAI3EPLfD/PE2aadW0laZj2BqL78COmEsAAGIXhRb4f8OGjjIdwfbc7kQVF5eYjgEEYS5rh0WhAADRiEuOAQCIAalpHuV1ylNqmsd0FAAAQoYztAAAxIC1eZtMRwAAIOQotAAAxBBfe6/yd/jD/nXSUjzKW0eJBgCEF4UWOEYzJoxX8fYC0zGMYPEd2BFzeWzyd/i15ZSuYf86p+9YGvavAQAAhRY4RsXbC3TPGZ1NxzDC5YpXaWmZ6RhAEOby2EzW86YjAAAQMiwKBQAAAABwJAotAAAAAMCRKLQAAAAAAEfiHlrgGLlbNNOUzV+ZjmEEi+/AjphLAABiF4UWOEZDho80HcEYtztRxcUlpmMAQZjLYzPn/bcisgJxWoon7F8DAAAKLQAAMYRnwwIAogmFFgAAhFy6z6vCfH+1r6emebQ2j3INADgxFFoAABByhfl++Vb4qn09r1NeBNMAAKIVhRYIoYnTc+QvKjAdI2xYfAd2xFwCABC7KLRACPmLCpSRnWk6Rti4XPEqLS0zHQMIwlzaU+6UWaYjAABiAM+hBQAAAAA4EoUWAAAAAOBIFFoAAAAAgCNxDy0QQp4mzbRq2krTMcKGxXdgR8wlAACxi0ILhNCwoaNMRwgrtztRxcUlpmMAQZhLe3pn3uIaH82TmuaJYBoAQLSi0AIAgJBbm7fJdAQAQAzgHloAABBx6T6vUlIaK93nNR0FAOBgES20q1evVlZWliRpw4YN6t+/v7KysjRw4EDt3LlTkjRnzhz17NlTffr00YcffhjJeAAAIEIK8/3yrfCpMN9vOgoAwMEidsnxzJkztWjRIjVo0ECSNG7cOD300EM666yz9PLLL2vmzJm6/fbblZubq/nz52v//v3q37+/unTpooSEhEjFBE7IxOk58hcVmI4RNiy+AztiLgEAiF0RK7StWrXS1KlTNXz4cEnS5MmTlZKSIkkqLy9X/fr1tWbNGmVmZiohIUEJCQlq1aqVNm7cqA4dOkQqJnBC/EUFysjONB0jbFyueJWWlpmOAQRhLp0pd8os0xEAAFEgYoX2yiuvVH5+fuDjQ2U2Ly9PL774ombPnq1PPvlEjRo1CrynYcOG2rNnz1H3XbdunNzuxNCHNqhu3TpRd0yxICGhnlyueNMxwqZOXFxUHx+cibl0vmj87x3/HYcdMZewoxOdS6OrHL/55puaPn26/va3v6lp06ZKSkrS3r17A6/v3bs3qOBWp7zcirpHNvAYCmc6cOBgVJ8p4kwY7Ii5dL5o/O8d/x2HHTGXsKPazmVyctW90Ngqx6+++qpefPFF5ebmqmXLlpKkDh06aMWKFdq/f792796trVu3yutl9UMAAAAAQGVGztCWl5dr3Lhxatasme68805JUufOnXXXXXcpKytL/fv3l2VZuvfee1W/fn0TEYHj4mnSTKumrTQdI2xYfAd2xFwCABC74izLskyHOFFlZeVRd/kEl4TAjphL2BFz6UzpPq8K8/1KTfNobd4m03FCjrmEHTGXsKMTveT4mM/QHjx4UPXqGb31FgAAOFw0llgAQOTV+h7a2bNnq0ePHsrIyND333+vhx56SJMnT1ZFRUU48wEAgCiW7vMqJaWxUlIaK93HuhkAgGNTq0L7/PPP65lnnlF2dnbg7GyXLl00f/58TZkyJZz5AABAFCvM98u3wiffCp8K8/2m4wAAHKZW1w6//PLL+p//+R9169ZNjzzyiCTpqquuUqNGjTRq1Cj96U9/CmtIwKkmTs+Rv6jAdIyQYfEd2BFzCQBA7KpVofX7/Tr11FMrbfd4PPr5559DnQmIGv6iAmVkZ5qOETI87xN2xFw6W+6UWaYjAAAcrFaXHGdkZGj+/PlB2yoqKvTMM8+oQ4cOYQkGAAAAAEBNanWG9sEHH9SgQYO0ZMkSHThwQA8//LC+/fZbHThwQM8880y4MwIAAAAAUEmtCu0ZZ5yht99+W4sWLdLXX3+t8vJy9ejRQ7/97W/VsGHDcGcEAAAAAKCSWhXaUaNGafTo0erdu3fQ9p9++kl33XWXnnzyybCEA5zO06SZVk1baTpGyLD4DuyIuQQAIHZVW2iXL1+ub7/9VpK0cOFCnXnmmZXOxn799df69NNPwxoQcLJhQ0eZjhBSbneiiotLTMcAgjCXzvbOvMXK65QnSUpN8xhOAwBwmmoLbVJSkqZPny7LsmRZlp5//nnVqfPfNaTi4uKUmJio4cOHRyQoAACIPmvzNpmOAABwsGoL7Zlnnqn3339fkpSVlaWnnnpKJ510UsSCAQCA2JLu86ow31/t66lpHgowACBIre6hzc3NDfzzoTO2hzv8zC0AAMDxKMz3y7fCV+3rhy5NBgDgkFoV2nXr1mns2LFat26dKioqKr2+YcOGkAcDosHE6TnyFxWYjhEyLL4DO2IuAQCIXbUqtKNHj1bjxo01depUJSUlhTsTEDX8RQXKyM40HSNkXK54lZaWmY4BBGEuo0fulFmmIwAAHKZWhfabb77Ra6+9ptatW4c7DwAAAAAAtVKrm1/PPvtsbd26NdxZAAAAAACotVqdob322mv14IMP6vrrr1fLli0VHx8f9PqNN94YlnAAAAAAAFSnVoX22Weflcvl0uLFiyu9FhcXR6EFquFp0kyrpq00HSNkWHwHdsRcAgAQu+KsI5/B40BlZeUqLi4xHSOk3O7EqDsmOB9zCTtiLqNHND2HlrmEHTGXsKPazmVycqMqt9fqDK0k7dy5U3PnztV3332nYcOGadmyZWrbtq3atWtX+7QAAADVcEpZBQDYR60WhVq7dq2uvPJKff7553r99ddVUlKiZcuWqXfv3lq6dGm4MwIAACjd51VKSuOj/i/d5zUdFQAQIbU6Qzt+/HgNHjxYf/jDH5SZ+cszNR955BElJydr0qRJ6tq1a1hDAgAAFOb75VvhO+r78jrlRSANAMAOalVo//WvfyknJ6fS9uuuu04zZ84MeSgg2kycniN/UYHpGCeMxXdgR8wlAACxq1aF9uSTT9bWrVvVqlWroO0rVqxQSkpKWIIB0cRfVKCM7EzTMU6YyxWv0tIy0zGAIMxl7MidMst0BACAzdSq0A4aNEgPPfSQBg0aJMuy9Omnn6qgoEAvvPCC7r///nBnBAAAAACgkloV2r59+yo5OTnwPNpJkyapTZs2GjdunH7961+HOyMAAAAAAJXU+rE93bt3V/fu3cOZBQAAAACAWqu20D7xxBMaPHiwGjRooCeeeKLGndx9990hDwZEE0+TZlo1baXpGCeMxXdgR8wlAACxq9pCu3z5cv3+979XgwYNtHz58mp3EBcXF5ZgQDQZNnSU6Qgh4XYnqri4xHQMIAhzGTvembe4Vo/kSU3zRCANAMAO4izLskyHOFFlZeVR98sMv6DBjphL2BFzCTtiLmFHzCXsqLZzmZzcqMrt1Z6hnTdvXq0CxMXFqVevXrV6LwAAQLj52nuVv8NvOgZiRFqKR3nrNpmOAcSsagvtX//611rtgEILAADsJH+HX1tO6Wo6BmLE6TuWmo4AxLRqC+0HH3wQyRxAzJsxYbyKtxeYjlEjFt+BHTGXAADErhof21NRUaG3335b3bp1U1JSUmD73LlzlZiYqKuvvlp16tQJe0ggFhRvL9A9Z3Q2HaNGLle8SkvLTMcAgjCXONJkPW86AgAgQqpto3v37tXvfvc7DRs2TJs2Bd8X8O9//1sjR47U4MGDVVpaGvaQAAAAAAAcqdpCO2PGDO3atUtvvfWWfD5f0GsPPvigFi5cqG+++UZ/+9vfwh4SAAAAAIAjVVtoFy9erAceeEAtW7as8vW2bdtqxIgReuONN8IWDgAAAACA6lR7D+0PP/ygU089tcZPPuuss1RYWBjqTEBMcrdopimbvzIdo0YsvgM7Yi4BAIhd1Rba5s2ba/PmzWrRokW1n/z1118rOTk5LMGAWDNk+EjTEY6KB7LDjphLHGnO+2/xKBVETFqKx3QEIKZVW2ivueYaTZ48WT6fT40bN670+s8//6zJkyerR48eYQ0IAABwLPLWbTr6m8KMP7QAQGRUW2hvv/12ffzxx7r66qt14403qn379kpKStLPP/+sNWvWaMGCBWrRooX++Mc/RjIvAAAAYBsTJjyq4cMfMB0DiFlxlmVZ1b1YVlamZ555RgsXLtR3330X2N6uXTtdd911uvnmm5WQkBCRoDUpKyuPur+C8pddHG7i9Bz5iwpMx+BeRdgScwk7Yi5jR+6UWdqx42fTMWqF3y9hR7Wdy+TkRlVur/YMrSTFx8dr6NChGjp0qEpLS/Xzzz/L7XbbosQCscRfVKCM7EzTMeRyxau0tMx0DCAIcwk7Yi5jR+6UWaYjADGtxkJ7OJfLJZfLFc4sAAAAAADUWrXPoQUAAAAAwM4otAAAAAAAR6r1JccAzPE0aaZV01aajsEiJ7Al5hJ2xFwCQGTUuMrx4fx+v3Jzc7V161ZVVFSoTZs26tOnj9q2bRvujEfFKsdAZDCXsCPmEnbEXMaOlJTGrHIMnIATXeW4Vpccf/nll7rqqqu0YsUKnXrqqWrdurVWrlypnj17avny5ceWGAAAAIgS998/0nQEIKbV6gxtr1691KVLF/3pT38K2j5p0iR99dVXevnll8MWsDY4QwtEBnMJO2IuYUfMJeyIuYQdReQM7ZYtW9SrV69K23v16qUNGzbUZhcAAABA1En3eZWS0lgpKY2V7vOajgPEnFotCpWWlqbVq1erdevWQdtXrVqlk08+OSzBABy7idNz5C8qCNv+WeQEdsRcwo6Yy9hRmO+Xb4VPkpTXKc9wGiD21KrQDhw4UA8//LC2bNmiDh06SJJWr16t2bNn67777gtrQAC15y8qUEZ2Ztj273LFq7S0LGz7B44Hcwk7Yi5jR+6UWaYjADGtVoW2Z8+ekqQXX3xRf//73+VyudSmTRuNHz9eV1xxRVgDAgAAAABQlVo/h7Znz56BYgsAAAAAgGnVFtqnnnqq1ju54447QhIGAAAAAIDaqrbQfvbZZ4F/rqio0KpVq3TKKafozDPPVL169bRp0yYVFhaqW7duEQkK4Og8TZpp1bSVYds/i5zAjphL2BFzCQCRUW2h/cc//hH453Hjxsnr9WrMmDGqV++XT6moqNCjjz6qn376KfwpAdTKsKGjwrp/nl8HO2IuYUfMZexgUSjArFrdQztv3jwtWLAgUGYlqU6dOhowYIBuuOGGsIUDAAAA7Cw1zRN4XE9qmsdwGiD21KrQpqSk6JNPPlGbNm2Ctr/11ltq2bJlWIIBAAAAdrc2b5PpCEBMq1Whvf/++3Xvvffqvffe05lnninLsrR27Vpt2LBBM2bMCHdGAAAAwPbSfV4V5vsDH6emeSi8QJjVqtD26NFDCxcu1IIFC7R161ZJ0rnnnqvHHntMrVu3DmtAAMdv4vQc+YsKQrY/FjmBHTGXsCPmMjYV5vvlW+ELfHzoUmQA4VPr59CefvrpGj58eDizAAgxf1GBMrIzQ7Y/lytepaVlIdsfEArMJeyIuYxNLBAFRF4d0wEAAAAAADgeFFoAAAAAgCNRaAEAAAAAjlTre2j37t2rvXv3qmHDhmrYsGE4MwEIEU+TZlo1bWXI9sciJ7Aj5hJ2xFwCQGTUWGh37typGTNm6L333lNhYWFge7NmzXT11Vfr9ttvV5MmTcIeEsDxGTZ0VEj353Ynqri4JKT7BE4Ucwk7Yi5jE4tCAZFXbaH97rvvdPPNNysxMVF9+vTR6aefrkaNGmnPnj3auHGjXnvtNb322mt6+eWX1bx580hmBgAAAGwnNc0T9Kie1DSPwTRAbIizLMuq6oXs7GwdOHBA06ZNU0JCQqXXDxw4oLvuuksnn3yyxo0bF/agNSkrK4+6v4Lyl13YEXMJO2IuYUfMJeyIuYQd1XYuk5MbVbm92kWhli9frjvvvLPKMitJCQkJ+sMf/qDPP/+8llEBAACA2JHu8yolpbFSUhor3ec1HQeIStVecrx7926lpqbW+MnNmzfXjh07Qh4KQGhNnJ4jf1HBCe+HRU5gR8wl7Ii5hCQV5vvlW+GTpKBLkQGETrWFtqKiQvXq1bwIct26dVVeXh7yUABCy19UoIzszBPej8sVr9LSshAkAkKHuYQdMZeQWCQKiIQaG+v27dtVUlL99cy7du0KeSAAAAAAAGqjxkLbt2/fGj/ZsizFxcWFNBAAAAAAALVRbaF9//33I5kDAAAAAIBjUm2hbdGiRSRzAAgjT5NmWjVt5Qnvh0VOYEfMJeyIuQSAyKi20D7xxBO13sndd98dkjAAwmPY0FEh2Q/Pr4MdMZewI+YSEotCAZFQbaFdvnx5rXbAPbQAAABAZalpnsDjelLTPIbTANGp2kKbm5sbyRwAAABAVFmbt8l0BCDq1fygWQAAAAAnLN3nVWG+v8b3pKZ5KMHAMaLQAjFg4vQc+YsKTng/LHICO2IuYUfMJY5UmO+Xb4WvxvccujwZQO1RaIEY4C8qUEZ25gnvx+WKV2lpWQgSAaHDXMKOmEsciQWigPCoYzoAAAAAAADHg0ILAAAAAHAkCi0AAAAAwJG4hxaIAZ4mzbRq2soT3g+LnMCOmEvYEXMJAJFBoQViwLCho0KyH7c7UcXFJSHZFxAqzCXsiLnEkVgUCggPCi0AAAAQZqlpnqM+lic1zROhNED0oNACAAAAYbY2b5PpCEBUiuiiUKtXr1ZWVpYkacuWLbrpppvUr18/jRw5UgcP/nKfyZw5c9SzZ0/16dNHH374YSTjAQAAAMak+7xKSWmslJTGSvd5TccBHCFiZ2hnzpypRYsWqUGDBpKkyZMn609/+pM6d+6skSNH6sMPP1RGRoZyc3M1f/587d+/X/3791eXLl2UkJAQqZhAzJo4PUf+ooIa38MiJ7Aj5hJ2xFzieBTm++Vb4ZOko16eDOAXESu0rVq10tSpUzV8+HBJ0tSpU1W3bl0dOHBAP/zwg5KSkrRmzRplZmYqISFBCQkJatWqlTZu3KgOHTpEKiYQs/xFBcrIzqzxPS5XvEpLyyKUCKgd5hJ2xFzieLBwFHDsInbJ8ZVXXql69f7bn+vWravt27frmmuuUVFRkc4880zt2bNHjRo1CrynYcOG2rNnT6QiAgAAAAAcxOiiUC1atNA777yjuXPnavz48briiiu0d+/ewOt79+4NKrjVqVs3Tm53YjijRlzdunWi7phgbwkJ9eRyxdf4njpxcUd9DxBpzCXsiLlEKIT6d0F+v4QdnehcGiu0Q4YM0ciRI3XqqaeqYcOGqlOnjjp06KApU6Zo//79OnDggLZu3Sqv9+g3xJeXW1H3rDeeX4dIO3Dg4FEvj+MSOtgRcwk7Yi4RCqH+XZDfL2FHtZ3L5OSqT3QaK7SDBw/WyJEjFR8frwYNGugvf/mLkpOTlZWVpf79+8uyLN17772qX7++qYhATPE0aaZV01bW+B4WOYEdMZewI+YSACIjzrIsy3SIE1VWVh51f23iL2iwI+YSdsRcwo6YSxyPlJTGQasc79jxc0j3z1zCjhx7hhYAAADAf6WmeQKP60lN8xhOAzgDhRYAAACwgbV5m0xHAByHQgsAAADYTLrPq8J8f6XtqWkeii9wGAotgJCaOD1H/qIC0zEQQ1h8B3bEXOJEFeb7A/fTHu7QJckAfkGhBRBS/qICZWRnmo6BGMLjUWBHzCVOVO6UWaYjAI5Qx3QAAAAAAACOB4UWAAAAAOBIFFoAAAAAgCNxDy2AkPI0aaZV01aajoEYwuI7sCPmEgAig0ILIKSGDR1lOgJijNudqOLiEtMxgCDMJU7UO/MWV7micWqax0AawL4otAAAAIDN8KxZoHYotAAAAIBDpPu8Ksz3V/t6apqHMoyYQqEFAAAAHKIw3y/fCl+1r1d1mTIQzSi0AMJq4vQc+YsKTMdAFGPxHdgRcwkAkUGhBRBW/qICZWRnmo6BKOZyxau0tMx0DCAIc4lwyZ0yy3QEwFZ4Di0AAAAAwJEotAAAAAAAR6LQAgAAAAAciXtoAYSVp0kzrZq20nQMRDEW34EdMZcAEBkUWgBhNWzoKNMREOXc7kQVF5eYjgEEYS4RLu/MW1zjo3lS0zwRTAOYR6EFAAAAHGJt3ibTEQBbodACAAAAUSLd51Vhvr9W701N81CQ4XgUWgAAACBKFOb75Vvhq9V7a7p0GXAKCi2AiJs4PUf+ogLTMRAlWHwHdsRcAkBkUGgBRJy/qEAZ2ZmmYyBKuFzxKi0tMx0DCMJcwpTcKbNMRwAiiufQAgAAAAAciUILAAAAAHAkCi0AAAAAwJG4hxZAxHmaNNOqaStNx0CUYPEd2BFzCQCREWdZlmU6xIkqKytXcXGJ6Rgh5XYnRt0xwfmYS9gRcwk7Yi5hCs+hhdPU9v8vk5MbVbmdM7QAAABAlKipoPKHFkQjCi0AAAAQg3ztvcrfUbuzuTh2aSke5a3jDHi4UWgBAACAGJS/w68tp3Q1HSNqnb5jqekIMYFCCyDiZkwYr+LtBaZjIEqw+A7siLmEHTGXiEYUWgARV7y9QPec0dl0DEQJlytepaVlpmMAQZhL2NGRczlZzxtMA4QGz6EFAAAAADgShRYAAAAA4EgUWgAAAACAI3EPLYCIc7dopimbvzIdA1GCRU5gR8wl7Ii5RDSi0AKIuCHDR5qOgCjidiequLjEdAwgCHMJOzpyLue8/xaPlgmjtBSP6QgxgUILAAAAxKC8dZtMRwBOGPfQAgAAAECIpfu8Svd5TceIepyhBQAAAIAQK8z3m44QEyi0ACJu4vQc+YsKTMdAlGCRE9gRcwk7Yi4RjSi0ACLOX1SgjOxM0zEQJVyueJWWlpmOAQRhLmFHzGVk5U6ZZTpCTOAeWgAAAACAI1FoAQAAAACORKEFAAAAADgS99ACiDhPk2ZaNW2l6RiIEixyAjtiLmFHzCWiEYUWQMQNGzrKdAREEbc7UcXFJaZjAEGYS9gRcxlZ78xbbDpCTKDQAgAAAECIrc3bZDpCTOAeWgAAAAAIA197r3ztvaZjRDXO0AIAAABAGOTv8JuOEPUotACiwowJ41W8vcB0DBjAIiewI+YSdsRcIhpRaAFEheLtBbrnjM6mY8AAlytepaVlpmMAQZhL2BFzGXmT9bzpCFGPe2gBAAAAAI5EoQUAAAAAOBKFFgAAAADgSNxDCyAquFs005TNX5mOAQNY5AR2xFzCjphLRCMKLYCoMGT4SNMRYIjbnaji4hLTMYAgzCXsiLmMvDnvv2U6QtSj0AIAAABAGOSt22Q6QtTjHloAAAAACJN0n1fpPq/pGFGLM7QAAAAAECaF+X7TEaIahRZA1Jg4PUf+ogLTMRBhLHICO2IuYUfMJaIRhRZA1PAXFSgjO9N0DESYyxWv0tIy0zGAIMwl7Ii5NCN3yizTEaIa99ACAAAAAByJQgsAAAAAcCQKLQAAAADAkbiHFkDU8DRpplXTVpqOgQhjkRPYEXMJO2IuEY0otACixrCho0xHgAFud6KKi0tMxwCCMJewI+bSjHfmLTYdIapRaAEAAAAgTNbmbTIdIapxDy0AAAAAhJGvvVcpKY3la+81HSXqcIYWQMyYMWG8ircXmI6BEOOeMNgRcwk7Yi7Nyd/h15ZTuur0HUtNR4k6FFoAMaN4e4HuOaOz6RgIMZcrXqWlZaZjAEGYS9gRc2nOZD1vOkLU4pJjAAAAAIAjUWgBAAAAAI5EoQUAAAAAOBL30AKIGe4WzTRl81emYyDEWOQEdsRcwo6YS0QjCi2AmDFk+EjTERAGbneiiotLTMcAgjCXsCPm0pzJL7EoVLhwyTEAAAAAhFFaiken71yqtBSP6ShRhzO0AAAAABBGees2mY4QtThDCwAAAAARkO7zKiWlsdJ9XtNRogZnaAHElInTc+QvKjAdAyHEIiewI+YSdsRcmleY75dvhU95nfJMR4kaFFoAMcVfVKCM7EzTMRBCLle8SkvLTMcAgjCXsCPm0rzcKbNMR4g6XHIMAAAAAHAkCi0AAAAAwJEotAAAAAAAR+IeWgAxxdOkmVZNW2k6BkKIRU5gR8wl7Ii5RDSi0AKIKcOGjjIdASHmdiequLjEdAwgCHMJO2IuzWNRqNDjkmMAAAAAiIDUNI/yOuUpNc1jOkrU4AwtAAAAAETA2rxNpiNEnYieoV29erWysrKCtr322mvq27dv4OM5c+aoZ8+e6tOnjz788MNIxgMAAACAsEv3eZWS0jjwv3Sf13Qkx4rYGdqZM2dq0aJFatCgQWDbv/71L82bN0+WZUmSfvjhB+Xm5mr+/Pnav3+/+vfvry5duighISFSMQHEoInTc+QvKjAdA8eJRU5gR8wl7Ii5tI/CfL98K3yBj/M65RlM42wRK7StWrXS1KlTNXz4cElSUVGRJk+erAceeEAPPfSQJGnNmjXKzMxUQkKCEhIS1KpVK23cuFEdOnSIVEwAMchfVKCM7EzTMXCcXK54lZaWmY4BBGEuYUfMpX2wOFToROyS4yuvvFL16v3Sn8vLyzV69GiNGjVKDRs2DLxnz549atSoUeDjhg0bas+ePZGKCAAAAABwECOLQq1fv17fffed/vznP2v//v3asmWLxo0bpwsuuEB79+4NvG/v3r1BBbc6devGye1ODGfkiKtbt07UHROcL1rnMiGhnlyueNMxcJzqxMXx84PtMJewI+bS3qLxd6zaONHfL40U2g4dOuiNN96QJOXn5+tPf/qTRo8erR9++EFTpkzR/v37deDAAW3dulVe79FvkC4vt6LumVo8Jwx2FK1zeeDAQS7BcjAuoYMdMZewI+bS3qLxd6zaqO3vl8nJVZ/otNVje5KTk5WVlaX+/fvLsizde++9ql+/vulYAKKcp0kzrZq20nQMHCcWOYEdMZewI+YS0SjOOrTEsIOVlZVH3V80ovVMGJyNuYQdMZewI+YSdsRc2kdKSuNKqxzv2PGzwUTmRNUZWgAAAACIdqlpnqBH9aSmeQymcTYKLQAAAABE0Nq8TaYjRA0KLQAAAAAYlO7zqjDfH/g4Nc1D6a0lCi0A1NLE6TnyFxWYjoEjsMgJ7Ii5hB0xl/ZVmO+vdE8taodCCwC15C8qUEZ2pukYOAKPoYAdMZewI+bSvnKnzDIdwbHqmA4AAAAAAMDxoNACAAAAAByJQgsAAAAAcCTuoQWAWvI0aaZV01aajoEjsMgJ7Ii5hB0xl4hGFFoAqKVhQ0eZjoAquN2JKi4uMR0DCMJcwo6YS/tiUajjR6EFAAAAAINS0zxBj+pJTfMYTOMsFFoAAAAAMGht3ibTERyLRaEAAAAAwEYmTHjUdATH4AwtABynidNz5C8qMB0j5rHICeyIuYQdMZfOkTtlloYPf8B0DEeg0ALAcfIXFSgjO9N0jJjncsWrtLTMdAwgCHMJO2IunYNFomqPS44BAAAAAI5EoQUAAAAAOBKFFgAAAADgSNxDCwDHydOkmVZNW2k6RsxjkRPYEXMJO2IuEY3iLMuyTIc4UWVl5SouLjEdI6Tc7sSoOyY4H3MJO2IuYUfMJeyIuXSOlJTG2rHjZ9MxIqK2c5mc3KjK7VxyDAAAAAA2cv/9I01HcAwKLQAAAADYCM+grT3uoQUAAAAAG0n3eVWY7w/alprm0dq8TYYS2ReFFgBsZuL0HPmLCkzHcAwWOYEdMZewI+bSOQrz/fKt8AVty+uUZyiNvVFoAcBm/EUFysjONB3DMVyueJWWlpmOAQRhLmFHzKVz5E6ZZTqCY3APLQAAAADAkSi0AAAAAABHotACAAAAAByJe2gBwGY8TZpp1bSVpmM4BoucwI6YS9gRc4loRKEFAJsZNnSU6QiO4nYnqri4xHQMIAhzCTtiLp2DRaFqj0ILAAAAADaSmuap9Jie1DSPoTT2RqEFAAAAABtZm7fJdATHYFEoAAAAALC5dJ9XKSmNlZLSWOk+r+k4tsEZWgCwsYnTc+QvKjAdw9ZY5AR2xFzCjphLZyvM98u3widJlS5HjmUUWgCwMX9RgTKyM03HsDWXK16lpWWmYwBBmEvYEXPpbCwUVTUuOQYAAAAAOBKFFgAAAADgSBRaAAAAAIAjcQ8tANiYp0kzrZq20nQMW2ORE9gRcwk7Yi4RjeIsy7JMhzhRZWXlKi4uMR0jpNzuxKg7Jjgfcwk7Yi5hR8wl7Ii5dLZ0n1eF+X5JUmqaJ2qeVVvbuUxOblTlds7QAgAAAIDNRUuBDTXuoQUAAAAAB0n3eZXu85qOYQucoQUAAAAABzl06TEotABgexOn58hfVGA6hm2xyAnsiLmEHTGXiEYUWgCwOX9RgTKyM03HsC2XK16lpWWmYwBBmEvYEXMZPXKnzDIdwTa4hxYAAAAA4EgUWgAAAACAI1FoAQAAAACOxD20AGBznibNtGraStMxbItFTmBHzCXsiLlENKLQAoDNDRs6ynQEW3O7E1VcXGI6BhCEuYQdMZfR4515i01HsA0KLQAAAAA4yNq8TaYj2AaFFgAAAAAcJt3nVWG+v9L21DRPTBVeCi0AAAAAOExhvl++Fb5K2/M65RlIYw6FFgAcYOL0HPmLCkzHsCUWOYEdMZewI+YS0YhCCwAO4C8qUEZ2pukYtuRyxau0tMx0DCAIcwk7Yi6jS+6UWaYj2ALPoQUAAAAAOBKFFgAAAADgSBRaAAAAAIAjcQ8tADiAp0kzrZq20nQMW2KRE9gRcwk7Yi4RjeIsy7JMhzhRZWXlKi4uMR0jpNzuxKg7Jjgfcwk7Yi5hR8wl7Ii5jC7R8hza2s5lcnKjKrdzhhYAAAAAHMZJpTWcuIcWAAAAAKJEus+rlJTGSklprHSf13ScsOMMLQAAAABEicJ8v3wrfJKkvE55htOEH4UWAKLQxOk58hcVmI4RESxyAjtiLmFHzCWiEYUWAKKQv6hAGdmZpmNEhMsVr9LSMtMxgCDMJeyIuYwNuVNmmY4QUdxDCwAAAABwJAotAAAAAMCRKLQAAAAAAEfiHloAiEKeJs20atpK0zEigkVOYEfMJeyIuUQ0irMsyzId4kSVlZWruLjEdIyQcrsTo+6Y4HzMJeyIuYQdMZewI+YyNqT7vCrM90uSUtM8Wpu3yXCimtV2LpOTG1W5nTO0AAAAABAl7F5gQ417aAEAAAAgCqX7vEr3eU3HCCvO0AIAAABAFDp06XE0o9ACQIyaOD1H/qIC0zFOGIucwI6YS9gRc4loRKEFgBjlLypQRnam6RgnzOWKV2lpmekYQBDmEnbEXMae3CmzTEcIO+6hBQAAAAA4EoUWAAAAAOBIFFoAAAAAgCNxDy0AxChPk2ZaNW2l6RgnjEVOYEfMJeyIuUQ0otACQIwaNnSU6Qgh4XYnqri4xHQMIAhzCTtiLmPPO/MWm44QdhRaAAAAAIhCa/M2mY4QdhRaAAAAAIhS6T6vCvP9Vb6WmuZxfOml0AIAAABAlCrM98u3wlfla3md8iKcJvQotACAgInTc+QvKjAd45iwyAnsiLmEHTGXiEYUWgBAgL+oQBnZmaZjHBOXK16lpWWmYwBBmEvYEXMZm3KnzDIdIax4Di0AAAAAwJEotAAAAAAAR6LQAgAAAAAciXtoAQABnibNtGraStMxjgmLnMCOmEvYEXOJaBRnWZZlOsSJKisrV3FxiekYIeV2J0bdMcH5mEvYEXMJO2IuYUfMZWyy+3NoazuXycmNqtzOGVoAAAAAiFKmC2u4cQ8tAAAAAMCRIlpoV69eraysLEnSv/71L3Xr1k1ZWVnKysrSm2++KUl66qmndOONN6pfv35as2ZNJOMBAAAAABwkYpccz5w5U4sWLVKDBg0kSevXr9fvf/973XbbbYH3rF+/Xl9++aXmzp2rgoIC3XnnnZo/f36kIgIAAAAAHCRiZ2hbtWqlqVOnBj5et26dlixZogEDBuiBBx7Qnj17tGLFCnXt2lVxcXFq3ry5ysvLtWvXrkhFBAAAAAA4SMTO0F555ZXKz88PfNyhQwf17t1b7du31/Tp0zVt2jQ1atRIbrc78J6GDRtq9+7datq0aY37rls3Tm53YriiG1G3bp2oOyY4H3MJO2IuYUfMJeyIuYQdnehcGlvluEePHmrcuHHgn8eOHavLLrtMe/fuDbxn7969atSo6uWZD1debkXdEuQsqw47Yi5hR8wl7Ii5hB0xl7CjE31sj7FVjgcOHBhY9Onzzz/XOeecI5/Pp6VLl6qiokL/+c9/VFFRcdSzswAAAACA2GTsDO2f//xnjR07VvHx8TrllFM0duxYJSUl6dxzz1Xfvn1VUVGhMWPGmIoHAAAAALC5OMuyLNMhTlRZWXnUXT7BJSGwI+YSdsRcwo6YS9gRcwk7cuwlxwAAAAAAnAgKLQAAAADAkSi0AAAAAABHotACAAAAAByJQgsAAAAAcCQKLQAAAADAkSi0AAAAAABHotACAAAAAByJQgsAAAAAcCQKLQAAAADAkSi0AAAAAABHotACAAAAAByJQgsAAAAAcCQKLQAAAADAkeIsy7JMhwAAAAAA4FhxhhYAAAAA4EgUWgAAAACAI1FoAQAAAACORKEFAAAAADgShRYAAAAA4EgUWgAAAACAI9UzHQCV/fjjj+rZs6eee+45tW3b1nQcQJJ0ww03KCkpSZKUlpamnJwcw4kA6emnn9YHH3ygsrIy3XTTTerdu7fpSIhxCxYs0CuvvCJJ2r9/vzZs2KBPP/1UjRs3NpwMsaysrEwjR47U9u3bVadOHY0dO5bfMWHcgQMHNGrUKH3//fdKSkrSmDFjdOqppx7zfii0NlNWVqYxY8bI5XKZjgIE7N+/X5ZlKTc313QUIGDZsmVauXKlXnrpJe3bt0/PPfec6UiAevbsqZ49e0qSHnnkEfXq1YsyC+M++ugjHTx4UC+//LI+/fRTTZkyRVOnTjUdCzFuzpw5SkxM1Jw5c/T1119r7NixevbZZ495P1xybDOPPfaY+vXrp5SUFNNRgICNGzdq3759uu2223TLLbdo1apVpiMBWrp0qbxer7KzszVkyBD96le/Mh0JCFi7dq22bNmivn37mo4CqE2bNiovL1dFRYX27NmjevU4pwXztmzZoosvvliSdNppp2nr1q3HtR+m2UYWLFigpk2bqlu3bvrb3/5mOg4Q4HK5NHDgQPXu3VvffvutBg0apMWLF/MfRBhVVFSk//znP5oxY4by8/M1dOhQLV68WHFxcaajAXr66aeVnZ1tOgYgSUpMTNT27dt19dVXq6ioSDNmzDAdCdBZZ52lDz/8UJdffrlWr16twsJClZeXq27duse0H87Q2sj8+fP12WefKSsrSxs2bNCIESP0ww8/mI4FqE2bNvrtb3+ruLg4tWnTRm63m9mEcW63W127dlVCQoJOO+001a9fX7t27TIdC9DPP/+sb775RhdccIHpKIAkadasWeratavefvttvfrqqxo5cqT2799vOhZiXK9evZSUlKT+/fvr3Xff1TnnnHPMZVai0NrK7Nmz9eKLLyo3N1dnnXWWHnvsMSUnJ5uOBWjevHkaP368JKmwsFB79uxhNmFcp06d9Mknn8iyLBUWFmrfvn1yu92mYwH66quvdOGFF5qOAQQ0btxYjRo1kiSddNJJOnjwoMrLyw2nQqxbu3atLrzwQr300ku66qqr1LJly+PaD9cLAjiqG2+8UaNGjdJNN92kuLg4Pfroo1xuDOMuvfRSffXVV7rxxhtlWZbGjBlzXH/ZBULtm2++UVpamukYQMCtt96qBx54QP3791dZWZnuvfdeJSYmmo6FGNe6dWs98cQTmjFjhho1aqRx48Yd137iLMuyQpwNAAAAAICw45JjAAAAAIAjUWgBAAAAAI5EoQUAAAAAOBKFFgAAAADgSBRaAAAAAIAj8dwNAADCbOTIkXrllVeqfT0nJ0c9e/aMYCIAAKIDj+0BACDMdu/erdLSUknS8uXLdc8992jp0qWB1xs1aiSXy2UqHgAAjsUZWgAAwqxRo0Zq1KiRJOmkk06SJCUnJ5uMBABAVOAeWgAADNq9e7dGjBihTp06qUuXLnrooYe0Z88eSdKyZct08cUXa/78+erSpYs6d+6s5557TsuWLdNVV12lzMxMjRo1ShUVFZKkrKwsPfnkkxowYIA6dOigm266SVu2bAl8rZ9++kkPPfSQLrroIvl8Pt13330qLi42cdgAAIQEhRYAAIMeeOABFRUVafbs2Xr66af1zTffaNSoUYHXf/zxR7399tt64YUXNGjQID3++ON67LHH9Nhjj2nChAlatGiRlixZEnj/zJkz1aNHD73yyivyeDwaNGiQ9u/fL0m64447tGHDBs2YMUOzZs3SN998o+HDh0f6kAEACBkuOQYAwJBt27bp3Xff1RdffCG32y1Jeuyxx9S9e3cVFBRIkg4ePKjhw4erbdu2Sk1N1aRJkzRgwAB17NhRktS2bVt9/fXX6t69uySpa9euuvXWWyVJY8eOVbdu3fTJJ58oLS1NX375pd588021bdtWkjRx4kT9+te/1ubNm3XGGWdE9uABAAgBCi0AAIZs3bpVlmXp0ksvrfTat99+qzp1frmQqmXLlpIUWDiqefPmgfe5XC4dOHAg8HFmZmbgn5OSktSmTRtt3bpVBw4cUMOGDQNlVvqlDJ900knaunUrhRYA4EgUWgAADCkvL1diYqIWLlxY6bXk5GStXbtWklS3bt2g1w4V3arUqxf8n/by8nLFxcWpfv361WY4dA8uAABOwz20AAAY0qZNG5WUlKi8vFytW7dW69atJf3yXNpDC0Mdqw0bNgT+effu3dq2bZvatWunNm3aaO/evdq6dWvg9S1btmjPnj1q06bNiR0IAACGUGgBADCkbdu26tatm4YPH67Vq1dr48aNGjFihH788UelpKQc1z7feustLViwQFu3btXo0aOVmpqqiy66SKeddpouvfRSjRgxQmvWrNGaNWsCqyufddZZIT4yAAAig0ILAIBBEyZMUOvWrXXbbbfp5ptvVkpKiv76178e9/6uueYazZ07Vz179tTevXv17LPPKj4+XpI0fvx4tW7dWrfeeqsGDhyoM844Q9OnTw/VoQAAEHFxlmVZpkMAAIATl5WVJZ/Pp3vvvdd0FAAAIoIztAAAAAAAR6LQAgAAAAAciUuOAQAAAACOxBlaAAAAAIAjUWgBAAAAAI5EoQUAAAAAOBKFFgAAAADgSBRaAAAAAIAjUWgBAAAAAI70f1mJLv0PzYAvAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "parameters = generate_parameters(500, 28, 32)\n",
    "\n",
    "results_sim2 = run_sim_and_plot(parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simulação do experimento 2 foi executada com uma duração total de 27.2 unidades de tempo.\n",
    "\n",
    "Com a taxa média de chegada de 28.0 clientes e taxa média de serviço de 32.0, os 500 clientes que chegaram no sistema acabaram enfrentando atrasos no atendimento. No diagrama de Gantt é possível observar os tempos de espera.\n",
    "\n",
    "O tempo médio de espera dos clientes foi de 4.06 unidades de tempo, um aumento de mais de 4x em relação ao experimento 1. No histograma de tempos de espera é possível observar a divisão causada pelos eventos de tipos 3, 1 e 2, respectivamente.\n",
    "\n",
    "Ao longo da simulação, a ocorrência de eventos do tipo 2 contribuiu negativamente para os atrasos já existentes. O número de clientes na fila, como pode ser observado no gráfico, esteve em comportamento crescente até que a finalização da chegada de clientes, que ocorreu a aproximadamente 4/5 do tempo de simulação. Após a chegada de todos os clientes, o atendimento dos clientes em espera ocorrou rapidamente.\n",
    "\n",
    "\n",
    "**Por fim, a utilização do sistema foi de 0.9946, o que indica que a utilização dos recursos do sistema está no limite do aceitável. Um aumento na capacidade de atendimento do servidor seria bem vindo para adicionar uma folga no sistema.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Experimento 3: Sistema com Carga Alta ($\\lambda >> \\mu$)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "O Experimento 3 tem como objetivo simular um sistema de fila M/M/1 com carga alta, ou seja, a taxa de chegada de clientes é consideravelmente maior do que a taxa média de atendimento. Neste cenário, é espero que haja um grande congestionamento no atendimento dos clientes. É provável que este congestionamento se agrave com as ocorrências de eventos do tipo 2.\n",
    "\n",
    "|Parâmetros                  |Variável              | Valor   |\n",
    "|----------------------------|----------------------|---------|\n",
    "|Número de Clientes          |`NUM_JOBS`            |   500   |\n",
    "|Taxa Média de Chegada       |`MEAN_ARRIVAL_RATE`   |   64    |\n",
    "|Taxa Média de Atendimento   |`MEAN_SERVICE_RATE`   |   32    |"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Simulação\n",
      "-------------------------\n",
      "Número de Clientes:              = 500.0000\n",
      "Taxa Média de Chegada (Lambda)   = 64.0000\n",
      "Taxa Média de Serviço (Mu)       = 32.0000\n",
      "Tempo Médio Entre Chegadas       = 0.0156\n",
      "Tempo Médio de Serviço           = 0.0312\n",
      "\n",
      "\n",
      "\n",
      "Estatísticas de Simulação\n",
      "-------------------------\n",
      "Duração Total                   = 26.6852\n",
      "\n",
      "\n",
      "\n",
      "Taxas Médias:\n",
      "\n",
      "Taxa de Chegada                 = 64.9279\n",
      "Tempo entre Chegadas            = 0.0154\n",
      "Tempo de Resposta               = 8.5140\n",
      "Tempo de Espera                 = 8.4607\n",
      "Taxa de Serviço                 = 18.7380\n",
      "Tempo de Serviço                = 0.0534\n",
      "Clientes no Sistema             = 159.5276\n",
      "Clientes na Fila                = 158.5276\n",
      "Throughput                      = 18.5185\n",
      "Utilização                      = 0.9999\n",
      "\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z4ocLIiJSsVTQiojIaaWkpHDLLbfw1ltvlWrv168fOTk5zJgxgwkTJtCoUSNeeukl3nrrrQqb1fW2224jOjqat99+m+eeew5fX1+aNm3KlClTaNWqVbn2r1WrFm+99RbPPvssfn5+XHTRRdx7772lZl0+lX79+hEUFMR///tfJk+eTEJCAq+88spJRer5xtixY0c+++wz3n77bX755RemT5+OxWKhWbNmjBw5ssxxqmW57LLLCAkJ4dVXX+WVV17BbDbTsGFDXn31VS699NKzOhbAlVdeyXfffcesWbNYsmQJXbt2pWXLlnz00UdMnTqVt99+G7vdTmJiIk899RTXX3+9a98JEyYQGxvLV199xVdffYWfnx/t27fngQceOOP42fJ44YUXmDRpEjNnzqSkpIS6dety5513Ur9+fYYOHcqiRYvo0aPHeb/PmYwbNw5/f39+/PFHvvjiC2JiYrjuuuvo3r07ffv2ZdGiRTRp0sTtcYiIXIhMxvE+RCIiIiIiIiLViMbQioiIiIiISLWkglZERERERESqJRW0IiIiIiIiUi2poBUREREREZFqSQWtiIiIiIiIVEs14rE9TqcTh6PqTtZssZiqdHxSvSm/xN2UY+JOyi9xJ+WXuJPyq3J5eVlO2V4jClqHwyAnp2KeeegOoaH+VTo+qd6UX+JuyjFxJ+WXuJPyS9xJ+VW5oqKCTtmuLsciIiIiIiJSLamgFRERERERkWpJBa2IiIiIiIhUSypoRUREREREpFqqEZNCiYiciwN5xYz9egO1Ar0J9/emZ4va1A3x83RYIiIiIlJOKmhF5IKzcX8eBjD+mw1sysp3tf+wMYtJVzehacypZ9ETERERkapFBa2IXFD2HC6k/7Q/Xcu3XhRLer0QTCZ44rtN3PXJCr65ux2BPro8ioiIiFR1+otNRC4Y2w4W0H/aUtdynWAf7u2U6Fru3bIOL87fRrdXFhIX5kd8mB8J4f50S44iJTrQEyGLiIiIyGmooBWRC8I36/YzZs56AAa2jeXuixMotjtLbdO/dT2a1wlmwbZsthwoYHt2Ab9szeadJbtoExfKza3r0TY+DIvZ5IlTEBEREZG/UUErIjWSw2kw6KPlhPp50bl+OJN+2Exq7SCubBLNtc1iMJlM+HpZSu1jNplIqxtCWt0QV1tukZ1ZKzP4+M893D9rNYE+Fi5ODOeRfybj97f9RURERKRyqaAVkRrF7nDSf9qftKwXwprMXAAWbMumdWwIU3s2w2o5u6eVBflaufWiWPq1qsvPmw+yaPshZq/OJLvAxvAuDUiI8HfHaYiIiIhIOaigFZEawzAMRn25jq0HC9h6sMDVflFcKE9f2+Ssi9kTeVnMdEuJoltKFI1jAnnh563cPX0lA9vGUS/UlzrBvsQE+5x011dERERE3EcFrYjUGJ1fXEDRCeNi3785ndgwP/y8zJhMFTfutWdaHVJjgvn37DVM+XGzq93LYuLDW1qREK67tiIiIiKVQQWtiNQIhwttrmL2+8HtCfX3cuv7pUQH8tmgi8jKKybzSDELth2dPOrGt/8gvV4Id7SPJzbMjxBfKz7Wii2oRUREROQoFbQiUq0ZhsHOQ4WM+2YDAA/8I8ntxexxFrOJmGBfYoJ9aVEvhBb1Qpi1IoP5Ww4yePpK13beFhPBvl4E+1q5vnlt+qTXrZT4RERERGo6FbQiUm1t3J/H8Nlr2XO4CBMw7rIUrmwa7bF4Lk4M5+LEcNZkHGFfbjGHi+wcKbJzpMjG4SI7m7LyefanLaTUCqRlvZAzH1BERERETqvSClqHw8Gjjz7Ktm3bMJlMjB8/Hh8fH0aOHInJZKJhw4Y89thjmM1mXnrpJebNm4fVamX06NE0b968ssIUkWrCMAwmz91MbrGdEV0b0CYulPgqMna1ae1gmtY+uT2/xE7/9/7k3hkrmTmwDTHBvpUfnIiIiEgNcu5Tfp6ln376CYCPP/6YYcOG8dxzzzFp0iSGDRvGhx9+iGEYzJ07lzVr1rBkyRKmT5/Os88+y/jx4ysrRBGpRtbvz2Pl3iP8q308vVrUqTLF7OkEeFv5V/s4ShwG17/5O1+t2efpkERERESqtUq7Q9utWzf+8Y9/ALB3716Cg4P57bffuOiiiwDo3LkzCxYsIDExkY4dO2IymahTpw4Oh4Ps7GzCw8MrK1QRqeKKbA5ueX8ZAJc3quXhaM7OVU1jaBUbyrivNzDph00s232YBlEBtIkLpX5kgKfDExEREalWKnUMrdVqZcSIEXz//fe8+OKLLFiwwDXzZ0BAALm5ueTl5REaGura53j76Qpai8VEaGjVvTtjsZirdHxSvV2I+TX042Wu7xPqVL+xqKGh/rzYtyWPfrGG+VsP8sXqTAA6NojgkuQovMxmrBYTFrMJq/n4q/no9xYTXmYTFrMZi9mE1wnbWY+1/bWv2bX/8e0sZjNeZhNmc/lnXb4Qc0wqj/JL3En5Je6k/KoaKn1SqMmTJ/Pwww9z0003UVxc7GrPz88nODiYwMBA8vPzS7UHBQWd9pgOh0FOToHbYj5foaH+VTo+qd5qen45DQPzsQ++SuxO7v50JasyjgDwvzsuqrbn7gNMuboxhmGwP6+EOWv38cmyvfy6+WDlvL/VzPAuDbimWcwZt63pOSaepfwSd1J+iTspvypXVNSpa8JKK2g///xz9u3bx1133YWfnx8mk4nU1FQWL15M27ZtmT9/Pu3atSMuLo4pU6YwaNAgMjMzcTqd6m4scgEqtDno/OICABY90InHvl7Pt+uzXOtvbFGnRkyqZDKZiA7y4fa2cQxoE0tesR2H08DuNHCc8HV82W4Y2B1OHMbJ645///dlh9PAYRjYHcdenQY/bjzA8z9vxdfLTEqtQCICvAnwtuh5uSIiIlKtmAzDMCrjjQoKChg1ahQHDhzAbrdzxx13UL9+fcaMGYPNZiMpKYmJEydisViYOnUq8+fPx+l0MmrUKFq3bn3aY9tsjir96Yg+vRF3qon55XAaPPDZahZuP3TSuquaRjO0cyLh/t4eiKzmWLcvl/tnruZQoc3V5m0xEe7vTUSAN33S63JZ46Pjk2tijknVofwSd1J+iTspvypXWXdoK62gdScVtHIhq4n59eHS3Tw3bysD28ZiAFl5JXRIDKdbcqTuIFYgh9NgTWYuu3MKOZhfQnaBjeyCEuas3Q9Aw6gAuiVHMbhLQ4oLis9wNJFzUxOvYVJ1KL/EnZRflUsFrQcp2cWdqnt+Hb8Erc3MZcuBAv7cc5iv1uyjcXQg7/ZvqQLWA7Lyivl+QxYzV2Sw81AhAAnhfgT7ehHsayXE10qwrxetYkNpGx+Kj9Wsfyc5Z9X9GiZVm/JL3En5Vbk8PoZWROTvDMOg9ztLKbI7yDhS+g7ggDaxKpI8JCrQh36t6tEnvS7vLdnFwWIHBw4XcrjITlZeCVsO5JNTaOOjP/cAYDGBn7cFfy8LAd5W/L0t+HlbCPCyEBHgzcB2cUQH+Xj4rERERKQmUkErIh7zx64ctmX/9clmfJgfN6TVxtdqpltypAcjEwCzycRtbeNO+Qm03eHkuw1Z7M8tptDmIL/EQUGJg4ITvj9UUMLPWw7yvzWZXJwYTpu4MLomRxIRoPHPIiIiUjFU0IpIpXMaBh//uYf/W7CdEF8rE69sxJdr9vHgpfU12VM1YbWYuaJJ9Bm327Avj89WZbBgazbzNh/kv79t553+LakX6lcJUYqIiEhNp4JWRCrF8efJrthzmH99vAKAdglhDLskifqRAbRL0OO5aqKU6EBGRjfEMAyW7znCkBkrueuTFdzTMZGLk8IJ9fPydIgiIiJSjZk9HYCI1Hwr9hym7bO/8Ny8La5itk1cKC/ekEr9yAAPRyeVwWQy0bJeCK/3TsPPy8K4bzZw5WuLmL0609OhiYiISDWmO7QiUqEMw2BbdgFWs5kimwOnYbiK2A+XHp1EKDrIh+euT9WkTxegprWD+fT21qzLzOWJ7zcx+YdNJEcF0Cj61DMXioiIiJyOCloRqVA/bz7Iv2evPak9JsiHprWDGN29IcG+6mZ6ITObTDStHcyTVzXm5ml/MuD9ZfRuWYfBHRMI8NavJRERESk//eUgIhXq5y0HT2q7uXU9BrWLI9BHlxz5S0K4P+/0a8n7S3fzybK9fL4qk7ohvkQH+RAd5EO9UD+uaxZDiMbZioiISBnK/ddlVlYW27Ztw+FwuNpKSkpYu3YtgwcPdktwIlI1GYbBT5sPklds55rUGFf7r1sP8uWaffwzJYpxl6fgZTna7djXy+LBaKUqaxAVwLjLUuiVVpvvN2Sx93AR+3KL2bA/j+wCG6/+uo06Ib7EhvnRvE4wt7aJxWrR9A8iIiJylMkwDONMG3300Uc88cQT2O12TCYTx3cxmUykpaXx8ccfuz3Q07HZHCc9I7EqOdUzHEUqiify6/edh7hn+irXcmrtIOoE+/LdhiwCvC18c3c7FbE1iKeuYRv35zF3YxY7DxWx9WA+Ww8WEB3kw9VNo+mYFE50kA9h/t5YzBqLXZ3pd6S4k/JL3En5Vbmiok4930a57tC+/vrr3H333dx555106dKF6dOnk5+fz/Dhw+natWuFBioiVZthGDw3b2upttUZuezJKeLaZjFc1SRaxaxUiORagSTXCnQt/7z5ADOWZ/Dmop28sWgnABazicgAb5KjAuiSHImflwWr2YyXxYSXxYS3xYzVYsbLbMLLcrz92Oux7awWMxYTmqRMRESkGipXQbt//36uu+46vL29adq0KcuWLeOKK65g9OjRjB49mjvuuMPdcYpIFfHJsr1sysqnTrAPr9zUHBMmcovsNIgK0J0ycatLGkRySYNIMo8UsWF/Pll5xezPK2ZfbjGLth/il63Z53xsE+BtNWM1m/Cxmrm2WQyDL05QkSsiIlLFlaugjYiIIDs7m3r16pGUlMS6deu44ooriI6OZv/+/e6OUUSqiH25xbx17M7YCzc0o26I39EVIR4MSi44McG+xAT7lmorsTvZe6QIu9PA7nBicxiUOJzYHQY259Flm8OJ3Xn09dTrDexOJ+syc3l78S4OF9ppnxBG09pBRAX6eOhsRURE5HTKVdBeccUVjBgxgokTJ9KpUycefvhhGjduzE8//UR8fLy7YxSRKsAwDO6dsZJiu5N3+7ckIcLf0yGJuHhbzSSEV0xOFtudjPt6A5+vymDWygxMQKf6Edx9cTyBPlYCvC34e1uxqkeCiIiIx5WroH3ooYcIDg4mJyeHrl27cuONN/L4448TGhrKk08+ecb9bTYbo0ePZs+ePZSUlDB48GBq167NXXfdRUJCAgB9+/bliiuu4KWXXmLevHlYrVZGjx5N8+bNz+sERaRi/Ln7MNuzCxnRtQFNYk49KF+kJvCxmpl0dWOKbMlsysrn0+V7+Wbdfub/7ZFUvlYzAccK3BBfLx7qUp+m+r8hIiJSqco1y/H5mjlzJuvXr+eRRx4hJyeH6667jiFDhpCbm8vAgQNd261Zs4bJkyfz7rvvkpGRwdChQ5k5c+YZj69ZjuVCVhn5tTYzl399vJyoAG/e6teSiABvt76fVC0X+jXM4TRYvucwhwtt5JU4yC9xkF9sP/paYmdXThF/7MwBoFtyJJc3iSY5KoDoIB+NwS2HCz2/xL2UX+JOyq/KddazHL/wwgvlPvj9999/2vWXXXYZPXr0AI52W7RYLKxevZpt27Yxd+5c4uPjGT16NEuXLqVjx46YTCbq1KmDw+EgOzub8PDwcsciIhXrx41ZvPzrdgDe6d+SMH8Vs3JhsZhNtIoNPe022w8W8OXafXz85x5+2HgAgH80iGDKtU0rIUIREZELV5kF7R9//FGuA5Tn0+eAgAAA8vLyuO+++xg2bBglJSXceOONpKam8uqrr/Lyyy8TFBREaGhoqf1yc3PPWNBaLCZCQ6vueD6LxVyl45Pqzd359epvO7A7DZ69MY3EOqFuex+punQNO7MWof60qB/JA/9MYeO+XGYu28Mnf+xm3Hcb6dmyLu2TIrBazJ4Os0pSfok7Kb/EnZRfVUOZBe20adMq9I0yMjIYMmQI/fr14+qrr+bIkSMEBwcD0L17dyZMmEDXrl3Jz8937ZOfn09Q0JnHIzkcRpW+3a/uCOJO7sqvXYcKeezr9Ww/WMCtF8XSrm6w8vgCpWvY2UkM9uH+jgn4mEzMXLGXr1ZlEurnRevYUJJrBdAuIYzG0Rpre5zyS9xJ+SXupPyqXGfd5XjGjBlcc801eHt7M2PGjDIPbDKZ6Nmz52nf/MCBAwwcOJCxY8fSvn17AAYNGsSYMWNo3rw5CxcupGnTpqSnpzNlyhQGDRpEZmYmTqdT3Y1FKplhGHy2MoP//LQFA3jgH0lckxrj6bBEqhUvi5mhnRO5s0M8C7dl88PGLFbtPcIPG7N45dft3Ny6Hq1iQ2gaE6Ru/CIiIuehzEmhunTpwsyZMwkLC6NLly5lH8BkYu7cuad9k4kTJ/L111+TlJTkahs2bBhTpkzBy8uLyMhIJkyYQGBgIFOnTmX+/Pk4nU5GjRpF69atz3gSmhRKLmQVnV9rMo5w24fLCfa18tCl9bmiSXSFHVuqJ13DKs7y3Yd5feEO/tx9GLvz6K/fOiG+NI0Jomda7TOO1a2JlF/iTsovcSflV+Uq6w5tpcxy7G4qaOVCVpH5tSbjCA99sZbcIhtf392OYF+vCjmuVG+6hlW8ghIH6/fnsiYjlzWZuSzYmo0B9GgURWSAN6H+3oT5eRHm50XdUF/qhfp5OmS3UX6JOym/xJ2UX5XrrLscT5w4kQcffBB/fw10FqnpDMPgie838cWxsX5PX9tUxayIG/l7W0ivF0p6vVAA9ucWM/G7jfy6NZucQhvOEz5qNpvgyzvbEhXo45lgRUREqrAyC9oPPviAwYMHlypoe/bsycsvv0xMjMbTidQUTsPgm3X7+WJVJgD3dU7k4kSNXRepTLWCfHixZzPg6P/JI0V2cgptLNlxiCk/bqHfe39yRZNaNIwKoGFkIAkR/vhYNWuyiIhImQXtqXoib926FZvN5taARKTyHCmy8cBna1i59whJEf48fnkjUqIDPR2WyAXNbDIR6udFqJ8X8WF+7Mst5vedOcxckUGx3QmAxQQRAd5EBHgTGeBNVKAP6fVC6NG4loejFxERqVxlFrQiUrPtzy1m8PSV7D1cxOjuDbk6NQar+czPlRaRymMymRja+eiEinanwe5DhWw6kM/mA/nszy3mQH4JmbnFrNh7hFkrM4gI8KZFvRD9XxYRkQuGClqRC9Sz87ZwIK+EV29sTot6IZ4OR0TOwGo2kRDhT0KEP91Tokqtyyu2c90bSxg8fSUWE0QG+lA72Id7OibSUv+/RUSkBjttQbtnzx4KCkrP3JWRkXHSdrGxsRUblYi4VX6JnWW7D9OsTpCKWZEaINDHytv9WvL7rhz2HSliX24xX63dz9T523ijbxpmk+7YiohIzXTagrZ3796llg3D4JZbbsF07BejYRiYTCbWrVvnvghFpMJNnb+N7AIbVzfVBG8iNUVsmB+xYX893qd1XCjjv9nIk99vonntYML8vVxfEf7e+HpZPBitiIhIxSizoJ07d25lxiEibpRfYsfPy8L+3GJ+3HSAmSsy6JYcqQlkRGqwK5tEs2j7Ib5Ylemaxfy4EF8rb/ZtQXy4Hs0nIiLVm8k41XTG1YzN5qjSDzXWQ5fFnU6XXxlHiliTkcuoL0v3omhRN5inrm5CRIB3ZYQo1ZyuYdVboc3BoQIbhwpKOFRoY1dOEVPnb6V2sC8v3JBKvVC/Mx/EjZRf4k7KL3En5VfliooKOmW7JoUSqaG2Zxdw49t/nNTepWEkk69p4oGIRMQT/Lws+IVYqBPi62prEh3IQ5+vYeCHy3m4S31SawcTE+yjsbYiIlLtqKAVqYFyi+w8+NlqAAa0rsetF8XiMAxK7E7dlRUR0uqG8EafFtzxyQoe+Wo9AD5WM/UjA2gcHUjdEF8CfKwEelsI8Lbi720hwNtCgI+FAC8rAT4WvCxmD5+FiIiIClqRGun9pbvZlVPEKzc2o01cmKfDEZEqKCHCn1kD27AxK48dhwrZkV3Axv15fLNuP/kljjPu720x4e9tPVrougreo8vBvl7c1LIOCRqjKyIibnbeBW1mZiYxMZopVaSq2JSVxyd/7uEfDSJUzIrIaQX5WmkVG0qr2FBXm2EYFNgcFJQ4yC92kF9iJ7/EcezLTn6xgwKbg7xj6wpOWHcgr4SdNgd7cgqZvTqTtvFhhPhaCfSxEuhjIfBYwRvoYyXQ20pyrQBCQ1X0iojIuStXQbtlyxaefvppNm3ahNPpBI7+wispKSEnJ0eP7RGpInIKbNw3czUB3hYeurS+p8MRkWrIZDIR4G0lwNtKVOC5HSPjSBFvLtrJyj1HWF9iJ+9YEfx3FrOJa9Pq8FDnRLyt6sIsIiJnr1wF7ZgxY3A6ndx11108+eSTDB8+nD179vDhhx8yadKkM+5vs9kYPXo0e/bsoaSkhMGDB9OgQQNGjhyJyWSiYcOGPPbYY5jNZl566SXmzZuH1Wpl9OjRNG/e/LxPUqSmK7I5GD57LQu3HwLg/QHpxAT7nmEvERH3qB3sy6P/TC7V5nAax+7mHi1wDxfZ+Hb9fmYt20N+YQkTrmjkes69iIhIeZWroF29ejWffPIJjRs35vPPPycpKYn+/fuTmJjIp59+ynXXXXfa/WfPnk1oaChTpkwhJyeH6667jkaNGjFs2DDatm3L2LFjmTt3LnXq1GHJkiVMnz6djIwMhg4dysyZMyviPEVqtLkbD7iK2Z5ptUmpdY63VURE3MRiNhHkayXI968/PdLrhVDihK9WZ3K4yE7/VnVpHReG1azCVkREyqdc/XusVitBQUef+5OUlOTqYtyhQwc2btx4xv0vu+wy7r//fuBoV2WLxcKaNWu46KKLAOjcuTO//fYbS5cupWPHjphMJurUqYPD4SA7O/ucTkzkQuFwGnyxKgOAWQPbMKJrAw9HJCJSPiaTif/cmMaA1vVYtfcIQ2euZsTstRSdonuyiIjIqZTrDm2rVq148803GT58OKmpqfzvf//jtttuY8WKFfj4+Jxx/4CAAADy8vK47777GDZsGJMnT3Z1LQoICCA3N5e8vDxCQ0NL7Zebm0t4ePhpj2+xmKr0pBIWi7lKxyfVy5q9h/GxWqgfFYDJZOLdRTtYtucIt7WPp1lihKfDkxpI1zBxJ4vFzNhrUxl+RWPeWrCd5+Zu4oa3/qBNQhgJEQEkRPgT6u91bAblo5NLHf/e18usbspyWrp+iTspv6qGchW0I0eO5J577uGjjz6iT58+vPfee7Ru3ZqioiKGDBlSrjfKyMhgyJAh9OvXj6uvvpopU6a41uXn5xMcHExgYCD5+fml2o/fGT4dh8MgJ6egXHF4Qmiof5WOT6qP7dkF9HnnDxwGhPp5cUPzGKb9sZsmMUHc3S5OeSZuoWuYuNOJ+dWvRW0aR/rzwR+7Wbk7h2/WZOI0yt7XbAJ/bwu1g33plVab+HB/ogJ9qBXoja+XpZLOQKoyXb/EnZRflSsq6tR1YbkK2vr16/Ptt99SWFiIn58fM2fOZMmSJYSGhtKiRYsz7n/gwAEGDhzI2LFjad++PQBNmjRh8eLFtG3blvnz59OuXTvi4uKYMmUKgwYNIjMzE6fTeca7syIXirxiO8/+tAUfq4VLG0bw1dr9vLV4F7Fhfjx/fVMsGnMmIjVAy3ohtKwXAoDN4WTv4SLyio8+Oqig5OhsyfklDvKL7RTYHGTllfDd+v1M+mFzqeME+ViJCvSmVqAPUYHetE8Mp3tKlCdOSURE3MhkGMZpPvv8i2EY7Nu3D5vNdtK62NjY0+47ceJEvv76a5KSklxtjzzyCBMnTsRms5GUlMTEiROxWCxMnTqV+fPn43Q6GTVqFK1btz5jbDabo0p/OqJPb+R8OZwGt36wjA378xh2SRL9W9djd04hi3cc4vK0uvhTrv/GIudE1zBxp4rIryKbg8wjxezPKyYrr8T1mpVXzL7cYrZnF1Boc/Ja7+ak1wutmMClWtD1S9xJ+VW5yrpDW66C9ueff2bs2LHs378fOFrcmkwm16unn0OrglZquu/W7+eRr9YzslsDeqbVKbVO+SXuphwTd6qM/DqQV8y1byzB5jC4KD6UTkkRtI4LJTHCH7PG4NZoun6JOym/Ktd5dTl+4oknaNmyJYMHDyYwUI8DEakMdoeTHzcdYNH2Q/y85SAhvlaubVbb02GJiFQ7kYE+vNWvJd+s28+vWw/yzE9bAAj0sZBaO5jmdYK5skk0dUL0/G4RkeqmXAXtvn37ePPNN8/YtVhEKs7dn65kxd4jhPhaaRUbyqB2cXo2o4jIOUqpFUhKrUDuvySJ3TmFrNhzhJV7j369/tsO3luyi2k3p5MQoRlLRUSqk3IVtG3atGHp0qUqaEUqyY7sAlbsPUKf9Lo88I8kdYkTEalA9UL9qBfqx5VNowHYfrCAm975g+Gz1/JWvxYE+pTrzyMREakCynXFTk9PZ/z48fz444/ExcXh5eVVav3999/vluBELlSzV+/DBAxoXU/FrIiImyVE+HNnh3he+20Hl770G3FhfvRJr8uNLeqceWcREfGochW0CxcuJDU1lUOHDnHo0KFS6/RAc5GKs+VAPp8u28sXqzLonhJFrSAfT4ckInJBGNgujuRagazfl8vrC3fyzuKddEgMo26In6dDExGR0yj3Y3uqMs1yLDXBlgP53DN9JYeL7HRPiWJE1wbl6vam/BJ3U46JO1XF/Pp95yHum7kau9OgdVwo93dOpFH0qWfXlKqtKuaX1BzKr8p1XrMci4h77c4p5F8fL8fHauG9/i1JrqXZxEVEPKVNXBizBrXhyzX7+O9vOxjw/jKubx5Dw6hAkiL8aRwdhL+3xdNhiogIKmhFPO5AfgnPzdtKoc3J+wPS1b1NRKQKqB3syx3t47k4MZz3ft/Fd+uz+GxlJgBeFhNt48MYd1kKIX5eZziSiIi4kwpaEQ9asDWbx7/dQE6hjZtbx6qYFRGpYprEBPHU1U0wDIP9eSVsPpDPkh2H+HDpHp6eu5mB7eKIC/PDy2L2dKgiIhckFbQiHvLd+v088tV6AKZc04R/NIz0cEQiIlIWk8lEdJAP0UE+XJwYzv7cEr7bkMV3G7KwmE38u0t9eqZpVmQRkcpWro8TCwoKeO6559i6dSuGYTBq1ChatGjBzTffTGZmprtjFKkR8kvslNidruV3l+wC4N5OiVzSIMJTYYmIyDl44qpGfDAgnQlXNMLhNHhr0U4+XbaHPYcLPR2aiMgFpVwF7YQJE/j+++8xDIM5c+YwZ84cHn/8cUJDQxk/fry7YxSp1opsDr5ck8k/X1lIpxd/5Z+vLOS2D5axMSufoZ0SufWiWD3+SkSkmjGbTCTXCuSyxrV4o08agT5Wpvy4hZve/oMfNmR5OjwRkQtGuboc//jjj7z99tvUr1+fF154gUsuuYRrrrmG1NRUevbs6e4YRaqtL9dk8vbiXew8VIiv1UxShD+bD+RzqNBGnWAfrk6N9nSIIiJyntLqhvDJba1ZnXGEhz5fw6gv17HlQD5XNImmXqivPrQUEXGjchW0drudwMBAbDYbCxYsYOTIkQAUFxfj7e3t1gBFqqs1GUcY/81G6kf689z1Tbk4MRyTycTunEJMJgjz89ZjH0REapDU2sF8eltrHvx8DW8s2skbi3YS7GslyMdKgLeFAG8L/t7WY69HvwK8LXSqH0FjPedWROSclKugTU9P56mnniIoKAibzUa3bt1Yt24djz/+OB06dCj3m61YsYJnnnmGadOmsXbtWu666y4SEhIA6Nu3L1dccQUvvfQS8+bNw2q1Mnr0aJo3b35OJybiaev25QHw/PWpxAT7utrrhWomYxGRmirEz4s3+7Zg68F8lu0+zKasfPKK7RSUOCiwOcguKGFXjoP8EgcFJXYKbU5eX7iT/q3q0a9VXWoF+Xj6FEREqpVyFbQTJkxg/PjxrF+/nkmTJhEWFsa7775LVFQUY8aMKdcbvf7668yePRs/v6N/zK9Zs4bbb7+dgQMHurZZs2YNS5YsYfr06WRkZDB06FBmzpx5Dqcl4lmZR4qYu+kAQT5WovXHiYjIBScpIoCkiIAzbrdiz2He/2M3HyzdzXcb9jNrYBt8vdR7R0SkvMpV0MbExPDqq6+Wahs2bNhZvVFcXBxTp05l+PDhAKxevZpt27Yxd+5c4uPjGT16NEuXLqVjx46YTCbq1KmDw+EgOzub8PDws3ovEU8qsjm465MVZOYWc1vbOI2dEhGRMqXVDSGtbgg/bMhi1JfrGPD+n7zVtyVBvnqyoohIeZT7ajlv3jzeffddduzYwbRp05g+fTq1a9emd+/e5dq/R48e7N6927XcvHlzbrzxRlJTU3n11Vd5+eWXCQoKIjQ01LVNQEAAubm5ZyxoLRYToaH+5T2VSmexmKt0fFJxZvy5m6e/3cChAhsv9WlBj6Yxbn9P5Ze4m3JM3En5dVSvtvF4+3rx0IyVTP1tO+Ovaoqf5lk4b8ovcSflV9VQroL2iy++4IknnuCWW27hzz//xOl0EhUVxVNPPUVhYSG33XbbWb9x9+7dCQ4Odn0/YcIEunbtSn5+vmub/Px8goLOPEmCw2GQk1Nw1jFUltBQ/yodn5w/wzD4fkMWj3y1npb1Qnjyynha1w2ulH935Ze4m3JM3En59ZeOcSH0SqvNjGV7+XJlBo1qBRIb5keXhpFc0iDS0+FVS8ovcSflV+WKijp1XViu59C+8cYbjB8/nnvvvRez+egu/fv3Z9KkSbz33nvnFNCgQYNYuXIlAAsXLqRp06akp6fz66+/4nQ62bt3L06nU92Npcr7ck0mFz37C498tZ4GkQG81LMZreNCPR2WiIhUM2aTiRHdGvLMtU24qmk0PlYzi7Yf4uEv1vKfn7Z4OjwRkSqpXHdod+7cSWpq6kntjRs35sCBA+f0xuPGjWPChAl4eXkRGRnJhAkTCAwMpHXr1vTu3Run08nYsWPP6dgilWFtZi6rM44w5ce//siYcEUjvK3l+pxIRETklC5p8NcdWbvDyagv1/Hxn3tIrxfCpQ11p1ZE5ETlKmiTk5P5+eefufnmm0u1z5w5k5SUlHK/Wb169fj0008BaNq0KR9//PFJ2wwdOpShQ4eW+5ginvDbtmzun7UagGa1g7i3cyJ1Q/w0o7GIiFQoq8XMI/9MZlfOCkZ9uY4v72xLZIC3p8MSEakyylXQjhgxgrvuuouFCxdis9l45ZVX2L59O+vWreP//u//3B2jSJXz06ajPRPu6ZjArRfFYtZMxiIi4iahfl6Mv7wRA6b9Sf/3ltIpKYLrm8fQtHawp0MTEfG4cvWNbN26Nd9++y3Jycl06dKFI0eO0KpVK+bMmUO7du3cHaNIlWIYBrsPF9EwKoDb28apmBUREbdLqRXI1J7NaFE3hG/W7+e2D5cz7uv1LNqejdMwPB2eiIjHlOsO7UsvvcSgQYO4//77S7Xn5eXx1FNPMXLkSLcEJ1KVrN+XyyfL9vLlmn0A9Eqr7eGIRETkQtI2IYy2CWEczC9hyIyVfLV2P1+t3U+r2BDuvySJxtFnfjKEiEhNU2ZBu3nzZrKysgB4+eWXSU5OPukROps3b+bjjz9WQSs1WuaRIp6bt5UfN/01AdrAtrEMahfvwahERORCFRHgzce3tiav2M4bC3fy2coMbnl/GZOvbkxChD+1g33x89IzbEXkwlBmQXvw4EFuv/121/J999130jb+/v4MHDjQPZGJeJjDaTDt9128/Ot2fKxm7mwfT99WdSmyOzUhh4iIeFygj5Vh/0iiQ2IYQ2asYsT/1rnWNYwK4MYWdfhHgwjC/PU7S0RqLpNhnHngRZcuXZgxY0aVfSaszeao0g811kOXqxfDMNi4P5/JczezKuMIAPd1TmRAm1gPR3Zqyi9xN+WYuJPyq2IcyC9hT04hmUeK2XO4iG/W72fbwQLMJmhR9+jjfi5pEEHtYF9Ph1qplF/iTsqvyhUVdephFeUqaKs6FbRSUeas3cdrC7az90gxIb5WOiSGc0ubWBpEBXg6tDIpv8TdlGPiTsov9zAMg41Z+fy06QA/bTrA1oNHf8YJ4X70TKvDZY1rEeJrxVTDJzZUfok7Kb8q13kVtLt27eK5555j1apV2O12/r7LvHnzKiTIc6WCVirC7zsPcc/0VcQE+TCgTSw9GkUR4ufl6bDOSPkl7qYcE3dSflWO7dkF/LYtm+fmbXW1BfpYaFQrkB6NatE1OYog33LNFVqtKL/EnZRflausgrZcV67hw4dz+PBhbrnlFgIDAys0MBFPW7z9EAfyS3j+56O/5B/5Z0PaJVTN7vUiIiLnIiHcn4Rwf7qnRLE2M4/dOYXszilkyc4cnvh+E1N+3EzHpAju7BBP/ciq2ytJROTvylXQrlmzhlmzZtGgQQN3xyNSqXIKbNw7cxUAfl5mxvRIVjErIiI1VlSgD5c08HEtG4bBun15fL1uP3PW7mPtrFw6JoXjZTHjZTH99Wo242U142U2ndB+bNnV/tc+oX5eRAf5nCYSEZGKUa6CNiEhgYMHD6qglRrF5nDy9pKdAPRJr8tdHeIJ9Kl53a1ERETKYjKZaBITRJOYIC5tGMGEbzfyw8YD2BxObA4nJY5zm2rFBFwUH0qYvzeB3hYCfKx/vfpYCPC20qx2kGZgFpHzVq6/3gcOHMiYMWO49dZbiY2Nxcur9LjC9u3buyU4EXfp/95SNmblA3BV02ge/EdSjZ8YQ0RE5HTS64Xy2aCLSrUZhoHDwFXg2hzGX69OJzb70deSY212h0GJw8nKvUf4fWcOu3OKyCu2k1fiwOEsXRx3TArnuetTK/MURaQGKtekUI0aNSr7ACYT69atK3N9ZdCkUHI2NuzP4+ZpfwLw7HVNuTgpHHM1LmaVX+JuyjFxJ+XXhcEwDIrtTvJLHOQV2xn3zQZWZ+SSEO5HiK8Xwb5WQvy8CPH1olaQN01jgkipFYivl+W83lf5Je6k/Kpc5zUp1Pr16ys0GBFPMQyDuRuzAJh9x0UX3PP4REREPMFkMuHrZcHXy0JEgDePdE9mxoq95BTaOFxoIzO3mA378zhcZKfY7gQgxNdKn/S6pNQKpElMEBEB6p4sIicr94DB4uJivv32W3bs2MGAAQNYv3499evXJyoqyp3xiVSoWSszeHvxLprGBBGjySpEREQ8okFUACO7NTzluoP5JazYc5g3Fu3ktd92AGA2QaekCIJ8rfh5WfDzMuNrteDrZT62fLTNx8tChL8X9SMD8LKYK/OURMRDylXQ7tixg1tvvRWr1UpmZibXXXcdH3/8MQsXLuTNN98kNbV84x9WrFjBM888w7Rp09ixYwcjR47EZDLRsGFDHnvsMcxmMy+99BLz5s3DarUyevRomjdvfl4nKHLc0l05TPlxC41qBfJGnzSNmRUREamCIgK86ZIcRZfkKPKK7azJyOX9pbvZcaiAQpuTIpuDIrvTdSf3VLwtJlJqBdIyPpzGkf78o2EkVrN+74vUROUqaCdOnEi3bt145JFHSE9PB+DZZ59l3LhxPPnkk3z44YdnPMbrr7/O7Nmz8fPzA2DSpEkMGzaMtm3bMnbsWObOnUudOnVYsmQJ06dPJyMjg6FDhzJz5szzOD2Ro+as3ce4rzcQHuDNKzc2x6pPbUVERKq8QB8rbRPCaJsQdtI6h9OgyO5wFbmFNgdFNieZucWszcxlTcYRpi/dTaHNQZu4UF65UTdJRGqicv1Vv2zZMvr371/qjpbZbOZf//pXuSeEiouLY+rUqa7lNWvWcNFFR2fS69y5M7/99htLly6lY8eOmEwm6tSpg8PhIDs7+2zOR+QkazJzeezrDRjA+ze3JMhXj+YRERGp7ixmEwHeViIDvKkX6kfDqECa1Qmme0oU91+SxH/7tODPR7rSM602v+/M4cOluynHXKgiUs2U6y97f39/srKySExMLNW+ceNGgoODy/VGPXr0YPfu3a5lwzBcBXJAQAC5ubnk5eURGhrq2uZ4e3h4+GmPbbGYCA31L1ccnmCxmKt0fDWJzeHkYH4JMcG+GIbB6M9XM+PPPQCMu6oJDeqd/Alvdaf8EndTjok7Kb/EnSwWM+OuTWXF3lyem7eV7zce4Knrm5ESc+rZUkXOhq5fVUO5Cto+ffowduxYHn74YQC2bNnCwoULef755+nbt+85vbHZ/NfN4fz8fIKDgwkMDCQ/P79Ue1DQmS84DodRpafM1pTeleeFn7fy/h+7+WBAOnsOF7mK2fgwP65MiayR/w7KL3E35Zi4k/JL3Ck01J+i/GLe7deCr9ft45Vft3PNKwtIqxNMnRBfooN9iQ7y4eLEcKI1WaScJV2/Ktd5PbbnnnvuISgoiIkTJ1JYWMjdd99NREQEt99+O4MGDTqngJo0acLixYtp27Yt8+fPp127dsTFxTFlyhQGDRpEZmYmTqfzjHdn5cK1O6eQ69/8nXYJYbx4Qyomk4lF2w8B0P/Yc2YB5t93MX7n+Rw7ERERqb68rWaubVab9gnhfLJsL8v3HOaPXYfJytuP04DawT7MGnSRJo4SqYbKPZhwwIABDBgwgIKCAhwOR7nunJ7OiBEjGDNmDM8++yxJSUn06NEDi8VC69at6d27N06nk7Fjx57Xe0j1t35fLpsP5HNlk2jeXbKL+Vuy2Z1TSJ0QXzZm5QGwaPshLnr2l1Pun1o7SMWsiIiIAFAryIehnf8aQmd3GnyxKoOnftjMtN93MaB1PU0cKVLNmIwyRsfPmDGDa665Bm9vb2bMmHHag/Tq1cstwZWXzeao0rf71R3h3BwutNHtlYUA3NUhntd+20GYnxe1gnwotjtIqxNCzxa1ueX9Za59LCZ4s28L/LwtrNp7hKtTYzDX8MfzKL/E3ZRj4k7KL3Gn8uSXzeHkwc/XsGj7Ify8zHRpGInVYsbLbMLLYsbLYjp52Xz01ctiwst8wjYnLNcN9SMywLuSzlQ8QdevylVWl+MyC9ouXbowc+ZMwsLC6NKlS5kHNplMzJ07t2KiPEcqaKu/ghIHmw/k06x2EEeK7BwsKOH5eVtZeKwLMRy92/pyr+b4e5e+47phXx4bsvJonxBGVOCFN/5F+SXuphwTd1J+iTuVN78Mw+C5eVtZsC0bm8OJzWFgczixOw3X8tnOj+zvZWFqr2Y0r1O+CVSl+tH1q3KddUFbnaigrb4KShx8uHQ3X63dx+6cIhrVCqTI7mB7diEAQzslEhPswx+7chjaKUmP3DkF5Ze4m3JM3En5Je5UkfnlcJ5c5NqcR1/tJ3xvczjZl1vMCz9vxWwy8cW/LsLbqm7MNZGuX5XrrCeFWrhwYbkObDKZaNeu3blFJRc0m8PJJVMXANC8TjCNo4PIOFLE9v1Hi9lmtYPo16ouVouZfzaq5clQRURE5AJnMZuwmMs/L0eQj5UHP1/DFa8ton5kAPUjA/hHgwhSawfj52V2Pb5SRM5PmQXt7bffXq4DmEwm1q1bV2EBSc2XW2Tn5V+3uZZrB/vwZt8WrmWbw4nVbMJpHP3lISIiIlLddKofwYs9U/lx4wG2HCjgqzX7mL58LwBWs4kgHytBvlbXa7CPlahAH2oH+1A7xJdagd74Wi34eJnxtZrxsVrwsZr1t5HI35RZ0K5fv74y45ALxNJdOdz96cpSbR/d2qrUstex2QUtul6LiIhINdY+IZz2CUcfQVlsd/LLloPsPVxEbrGd3GI7R4qOvuYW2dmTU8jPWw5SbHee9phWswkfqxkfqxlfr6NFru+xr/6t63FJg8jKODWRKuOMAxJXrlxJSkoKPj5/TbYzd+5cIiIiaNGihTtjkxqgyOZg4ncb+WFDFpGBPuzLLS61vl+rugR4a1ysiIiI1Gw+VjPdUqJOu41hGGQX2Mg8UkRWXgnFdifFdidFdsexV+dfbTaH6/tiu5MF27JZtmctDaMCCPS2EOBjJdDHSoC3hUAfK4HeFsL8vWiXEE500IU3iabUXGVWEna7nVGjRvHll1/y7rvvctFFF7nWffnll3zzzTf07NmT8ePHY7HoOZ9ysr/fjT2QV0ywr5WeabXp0agWP206wG0XxXowQhEREZGqw2QyERHgTcQ5PO5nf24xHyzdzZ6cIvJK7GTllbDtYAF5xXbyShw4nH/NA3ttsxj+3aUBPpqsSmqAMgvat956i8WLF/Pee+/Rpk2bUuuee+45evfuzQMPPECDBg247bbb3B2nVEOzVmS4vv9tWEfX5AfWY2M/6kcGeCQuERERkZqmVpAPD/yj/inXGYZBsd1JxpFi/vXxcr5Ylcni7Yd4qVcz4sP9KzlSkYpV5scyn332GWPGjDmpmD2uXbt2DB8+nBkzZrgtOKm+imwOvtuQRYC3hd8f6oyXxYzVbHIVsyIiIiJSOUwmE75eFhIj/Pl2cHsmX92YzNxier39B7e8/yczlu9lX24xNeBpnnIBKvMObUZGBk2aNDntzq1bt2b8+PEVHpRUX4U2B0t35fDHzsMAJOhTPxEREZEqw2o20SU5iv+7yYvFOw6xaPshJs/dzOS5mwn18+Ka1Gg6JkUQE+xDVIA3Vou6JUvVVmZBGxkZye7du6lbt26ZO+/du5ewsDC3BCbVT16xnXtnrGJNZi4AHZPCeeLKxh6OSkRERET+rlVsKK1iQxl8cQJrM3NZk5nHN+v2897vu3nv990AmE1wffPajOzW0MPRipStzIK2e/fuTJ06lfT0dLy8vE5ab7PZeOmll+jcubNbA5TqwTAM/vPTFtZk5vKPBhF0TY6iW0qUuhiLiIiIVGEmk4mmtYNpWjuYG1vUZkd2Iftyi8nMLWLR9hxmrsjgm3X7qRXkQ3SQD/FhftzZIZ5g35PrAxFPMBlldJbPzc2lV69eeHt7M2DAAFJTUwkKCuLw4cOsXLmSDz74gOLiYj766COiok4/Bbm72WwOcnIKPBrD6YSG+lfp+M6X0zB4/bcdvLFoJ/1a1S1zQgJxj5qeX+J5yjFxJ+WXuJPy6/zYHE6+WJXJ9uwC9ueVsC+3mA3780iOCuAfDSJpFB1I2/gwLBfoDQzlV+WKigo6ZXuZBS3A4cOHmTJlCnPmzKGwsBA4eicuJCSEq666iiFDhhAeHu6eiM+CClrP2Z9bzHPztvDDxgMkRfjzWu80Qv30iV1lqsn5JVWDckzcSfkl7qT8qnhz1u7jtd92sPdwEQANIgNIqxtMUoQ//2xU64L6O1D5VbnOqaA9rqSkhF27dnHkyBHCwsKIi4vDbK6YAeLXX389gYGBANSrV4/evXvzxBNPYLFY6NixI/fee+8Zj6GCtvLkFtmZvTqTb9fvZ0CbWJ6ft4VDhTb6ptfj3k4JrkfzSOWpSfklVZNyTNxJ+SXupPxyn7xiO5+tzOCnTQfYll1AXrGDuiG+jOmRTKvYUE+HVymUX5WrrIK2zDG0J/L29qZ+/YrvRlpcfHR68GnTprnarr32WqZOnUpsbCx33nkna9euPeNsy1LxdmQXMOXHzWzKyqdLw0gGtImlxO7ktg+XkV/iAGD0l+uwmE3857qmXJzo+Tv1IiIiIlI5An2sDGgTy4A2sRiGwR+7cnjiu03c/elK3u7XggaRAfhYzbrZIW5XroLWXdavX09hYSEDBw7EbrczdOhQSkpKiIuLA6Bjx4789ttvKmgr2faDBQx4/08AGkcHMnt1Jl+szsTmMAjwtvBiz1ScTii2O0ivF0qo/4XTtURERERESjOZTLSJC+PxKxox6KPl3P7hcgAsZhOB3hYCvC34e1sJ8LYQ6GPl4qRwGtUKxMtiwmo2Y7WYsJpNeFnMx17/+t5qNqkoltPyaEHr6+vLoEGDuPHGG9m+fTt33HEHwcHBrvUBAQHs2rXrjMexWEyEhlbd551aLOYqHd9xWbnFHMgr5sEv1uDnbWHGXe2JC/cn43ARIz9bxW9bDvL4NU25PK2Op0OVE1SX/JLqSzkm7qT8EndSflWuTiF+vNK3Jftzi8krtpNXbCf/2Ovxr/X78liwLfusjusqdo8Vul5/Wz6+3mI2YTlWEB/9/ug6y7HC+MTXo9+b/7b98fXmv23316vVYsbHaqZzwyjlVxXh0YI2MTGR+Ph4TCYTiYmJBAUFkZOT41qfn59fqsAti8NhVOn+61Wxf/2WA/ls2J/HV2v2kV1go3F0IP9bs8+1fvI1TQg2Q05OAX7Ac9c2YeehQhLCq965XOiqYn5JzaIcE3dSfok7Kb8qX5s6QcCpxzoClNidrNx7hGKHE7vDwO48+mpzOrE5DOxOA5vDicNpHFsu3W53Gq79bA4D27F2p3G03eF0Umg3cDiP7uNwGjiMY6/OE9oNsDucJ61znHF2oaOa1wlm5uAOyq9KdF5jaN1lxowZbNy4kXHjxrFv3z4KCwvx9/dn586dxMbG8uuvv5ZrUig5vYISB1+sziQx3I/mdUJ4/49dvLVoZ6n/sPtyi0vt0/FvY2LNJhMJ4foESkRERETOnbfVTOu4UE+HUSbDOFrUlipynccK72PF8btLdvHZykyycovRwDvP82hB26tXL0aNGkXfvn0xmUw8+eSTmM1mHn74YRwOBx07diQtLc2TIdYIT36/kW/XZ5Vq65AYRlyYPx//uYd3+rWgQVQg36zbx7Tfd3Nz63p4WytmFmsRERERkerCZDJhNR3t5lyW3i3r8tnKTJ76Zj0ju9THy6K/mz2pXI/tqer02J6yOQ2Df76ykDZxoYAJHy8zvdJqk1r7zF25pXpQdypxN+WYuJPyS9xJ+SXu8sbCHbz22w5ignwY0CaW6CAf1+RWJ05wdXTc7bHJr46N17WaS0+GpYmvyqdKdjkW9zAMgye+20R8uB9OAw4X2bkoPozrm9f2dGgiIiIiItXev9rH07ZBJI9+vpopP24+7+O5Jp06YfKpVvVCGHd5iu4An4EK2hpmd04hd3+68qQxsTHBPh6KSERERESk5unUMIpPbmvNrpzCEyarKj2R1dF251/fn7h8wvZ21yRYR9fvPVLEdxuyaB0XynXNYnQH9zRU0NYgTsPg+jd/ByDUz4ucQhsA9SP9aRxd9mxzIiIiIiJy9ny9LDSMCqzw4xbbnfR99w+e/H4TL/+yjWZ1gundsg7tEsLPvPMFRgVtNZVTaONAXgkNogKYsXwvM1dkkFtsd63/dnA7VmfkUivQm5hgXw9GKiIiIiIiZ8PHaubDW1rx3fosVuw9zKLthxg6czVdkyNpExfKJQ0iiQzw9nSYVYIK2mrE7nCyOiOX/y7cwe87c065zcOX1qdbShRmk4nmdTTxk4iIiIhIdeTrZeGaZjFc0yyGvGI7T3y3kd935jB34wEWbT/ElGubejrEKkEFbTUwe1UmE77beMbtPhiQTnKtiu/yICIiIiIinhPoY2XS1U0wDIMpP25h1soMVmcc0ZNLUEFb5RmGwWu/bXctD2wXx+asfK5uGk1UkA95xXZa1QvBqtnPRERERERqNJPJxOCLE5izdh+Tf9jMfZck0io2FPMFPGmUCtoqbuH2Q+zPK+HqptEkRQbQv1VdzXImIiIiInKBCvK1MrRzIs/N28o901fRNCaIF3umEuzr5enQPEIFbRU27fdd/N+C7YT6eTGyW0O8rboLKyIiIiJyoeuZVocrmkQzY/leXpy/jSteW0y7+DDSY0O4vnlt/Lwsng6x0qigrUIKbQ4e/Gw1u3OKePb6prw4fxsXJ4bz0KX1VcyKiIiIiIiLn5eFAW1iSa0dzFdr97F0Vw4/bznI0l2H+c91F86EUSpoq4D8EjuHCmz0eXcpxXYnAP3e+xOA0d0bUivIx5PhiYiIiIhIFdWyXggt64UA8NQPm/h8ZQbP/LiZBy+tf0GMrVVB62GZR4r418cr2JdbfNK6a5vFqJgVEREREZFyubtDAplHivlk2V7+3H2YO9rHc2nDSE+H5VYqaD1kztp9PPb1BtdymJ8X93ZOpG18GACbD+STpufIioiIiIhIOYX6e/Hc9U2ZvjyDd5fsZPjstaTUCiS1dhB1Q3zplBRBQoS/p8OsUCpoK9nkHzYxf8tB9ueVuNpe7JlK+4TwUttF686siIiIiIicJZPJxE0t63BNajRPzd3M1gP5/LAhi8NFdr5et59pN6djMdecrshVsqB1Op2MGzeODRs24O3tzcSJE4mPj/d0WOfF7nDyzE9bmLkiw9U2qntDrm4ajZeeISsiIiIiIhXI18vCuMtSXMuzVuxl0g+bGfm/tbSNDyMuzI9G0YHV/nE/VbKg/eGHHygpKeGTTz5h+fLlPPXUU7z66queDuucHSm0cccnK1idkQvAu/1b0iQmyMNRiYiIiIjIheKGtDrsyyvhgz92M2/zQQCCfKwM79qAHo2iMFXTCaSqZEG7dOlSOnXqBECLFi1YvXq1hyM6dwfyS7j8P/MBePKqxnRPifJwRCIiIiIiciEafHECd3WIZ39uMUt25vDagu2MmbOevGI7vVrU8XR456RKFrR5eXkEBga6li0WC3a7Hav11OFaLCZCQ6vm4ObFe44A0KdNLDe2rd7dpqVqsljMVTb/pWZQjok7Kb/EnZRf4k7VOb/CwwJoFBfOzR0S6fvmYtZl5Vfbc6mSBW1gYCD5+fmuZafTWWYxC+BwGOTkFFRGaGetbd1gFo/sgtlmr7IxSvUWGuqv3BK3Uo6JOym/xJ2UX+JONSW/XunZDKdRdeup46KiTj1ks0rORpSens78+Ue76S5fvpzk5GQPR3R+wgO8PR2CiIiIiIjISSxmU7WepLZK3qHt3r07CxYsoE+fPhiGwZNPPunpkERERERERKSKqZIFrdls5vHHH/d0GCIiIiIiIlKFVd97yyIiIiIiInJBU0ErIiIiIiIi1ZIKWhEREREREamWTIZhGJ4OQkRERERERORs6Q6tiIiIiIiIVEsqaEVERERERKRaUkErIiIiIiIi1ZIKWhEREREREamWVNCKiIiIiIhItaSCVkRERERERKolq6cDqMmcTifjxo1jw4YNeHt7M3HiROLj4z0dltQg119/PYGBgQDUq1ePSZMmeTgiqQlWrFjBM888w7Rp09ixYwcjR47EZDLRsGFDHnvsMcxmfRYq5+7E/Fq7di133XUXCQkJAPTt25crrrjCswFKtWWz2Rg9ejR79uyhpKSEwYMH06BBA13DpEKcKr9q166ta1gVoILWjX744QdKSkr45JNPWL58OU899RSvvvqqp8OSGqK4uBjDMJg2bZqnQ5Ea5PXXX2f27Nn4+fkBMGnSJIYNG0bbtm0ZO3Ysc+fOpXv37h6OUqqrv+fXmjVruP322xk4cKCHI5OaYPbs2YSGhjJlyhRycnK47rrraNSoka5hUiFOlV9DhgzRNawK0EdUbrR06VI6deoEQIsWLVi9erWHI5KaZP369RQWFjJw4EBuueUWli9f7umQpAaIi4tj6tSpruU1a9Zw0UUXAdC5c2d+++03T4UmNcDf82v16tXMmzeP/v37M3r0aPLy8jwYnVR3l112Gffffz8AhmFgsVh0DZMKc6r80jWsalBB60Z5eXmu7qAAFosFu93uwYikJvH19WXQoEG8+eabjB8/nocfflj5JeetR48eWK1/dd4xDAOTyQRAQEAAubm5ngpNaoC/51fz5s0ZPnw4H3zwAbGxsbz88ssejE6qu4CAAAIDA8nLy+O+++5j2LBhuoZJhTlVfukaVjWooHWjwMBA8vPzXctOp7PUL3KR85GYmMg111yDyWQiMTGR0NBQsrKyPB2W1DAnjjXLz88nODjYg9FITdO9e3dSU1Nd369du9bDEUl1l5GRwS233MK1117L1VdfrWuYVKi/55euYVWDClo3Sk9PZ/78+QAsX76c5ORkD0ckNcmMGTN46qmnANi3bx95eXlERUV5OCqpaZo0acLixYsBmD9/Pq1bt/ZwRFKTDBo0iJUrVwKwcOFCmjZt6uGIpDo7cOAAAwcO5N///je9evUCdA2TinOq/NI1rGowGYZheDqImur4LMcbN27EMAyefPJJ6tev7+mwpIYoKSlh1KhR7N27F5PJxMMPP0x6erqnw5IaYPfu3Tz44IN8+umnbNu2jTFjxmCz2UhKSmLixIlYLBZPhyjV2In5tWbNGiZMmICXlxeRkZFMmDCh1FAdkbMxceJEvv76a5KSklxtjzzyCBMnTtQ1TM7bqfJr2LBhTJkyRdcwD1NBKyIiIiIiItWSuhyLiIiIiIhItaSCVkRERERERKolFbQiIiIiIiJSLamgFRERERERkWpJBa2IiIiIiIhUS1ZPByAiIlLTjRw5ks8++6zM9ZMmTeKGG26oxIhERERqBj22R0RExM1yc3MpKioC4I8//mDYsGH8+uuvrvVBQUH4+vp6KjwREZFqS3doRURE3CwoKIigoCAAQkJCAIiKivJkSCIiIjWCxtCKiIh4UG5uLiNGjKBVq1ZcfPHFjBkzhry8PAAWL15M586dmTlzJhdffDFt2rThrbfeYvHixVx22WW0bNmSUaNG4XQ6ARgwYAAvvvgi/fv3p3nz5vTt25fNmze73uvw4cOMGTOGDh06kJ6ezkMPPUROTo4nTltERKRCqKAVERHxoNGjR3Po0CE++OADXnvtNbZt28aoUaNc6w8ePMi3337Le++9xx133MEzzzzD5MmTmTx5Mk8//TSzZ89m3rx5ru1ff/11unfvzmeffUZMTAx33HEHxcXFANx7772sW7eO//u//+Odd95h27ZtDB8+vLJPWUREpMKoy7GIiIiH7Ny5k++//55FixYRGhoKwOTJk+nSpQsZGRkA2O12hg8fTv369YmOjuY///kP/fv3Jy0tDYD69euzdetWunTpAkDHjh257bbbAJgwYQKdOnXil19+oV69eixZsoQ5c+ZQv359AKZMmcIVV1zBpk2baNiwYeWevIiISAVQQSsiIuIhW7ZswTAMLr300pPWbd++HbP5aEeq2NhYANfEUXXq1HFt5+vrS0lJiWu5ZcuWru8DAwNJTExky5YtlJSUEBAQ4Cpm4WgxHBISwpYtW1TQiohItaSCVkRExEMcDgf+/v58/vnnJ62Liopi1apVAFgsllLrjhe6p2K1lv7V7nA4MJlM+Pj4lBnD8TG4IiIi1Y3G0IqIiHhIYmIiBQUFOBwO4uPjiY+PB44+l/b4xFBna926da7vc3Nz2blzJykpKSQmJpKfn8+WLVtc6zdv3kxeXh6JiYnndyIiIiIeooJWRETEQ+rXr0+nTp0YPnw4K1asYP369YwYMYKDBw9Sq1atczrm119/zaxZs9iyZQuPPPII0dHRdOjQgaSkJC699FJGjBjBypUrWblypWt25caNG1fwmYmIiFQOFbQiIiIe9PTTTxMfH8/AgQO5+eabqVWrFq+88so5H++qq65i+vTp3HDDDeTn5/Pmm2/i5eUFwFNPPUV8fDy33XYbgwYNomHDhrz66qsVdSoiIiKVzmQYhuHpIEREROT8DRgwgPT0dB544AFPhyIiIlIpdIdWREREREREqiUVtCIiIiIiIlItqcuxiIiIiIiIVEu6QysiIiIiIiLVkgpaERERERERqZZU0IqIiIiIiEi1pIJWREREREREqiUVtCIiIiIiIlItqaAVERERERGRaun/AeBohROAo7JZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "parameters = generate_parameters(500, 64, 32)\n",
    "\n",
    "results = run_sim_and_plot(parameters)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A simulação do experimento 3 foi executada com uma duração total de 26.6 unidades de tempo.\n",
    "\n",
    "Com a taxa média de chegada de 64.0 clientes e taxa média de serviço de 32.0, os 500 clientes que chegaram no sistema acabaram enfrentando atrasos consideráveis no atendimento. No diagrama de Gantt é possível observar os tempos de espera elevados.\n",
    "\n",
    "O tempo médio de espera dos clientes foi de 8.46 unidades de tempo, o dobro do tempo de espera do experimento 1. No histograma de tempos de espera é possível observar a divisão causada pelos eventos de tipos 3, 1 e 2, respectivamente.\n",
    "\n",
    "Ao longo da simulação, a ocorrência de eventos do tipo 2 contribuiu negativamente para os atrasos já existentes. Até os clientes de tipo 3, com impossibilidade de atendimento, enfretaram longas esperas para serem atendidos e dispensados pelo servidor.\n",
    "\n",
    "O número de clientes na fila, como pode ser observado no gráfico, esteve em comportamento crescente até que a finalização da chegada de clientes, que ocorreu a aproximadamente 2/4 do tempo de simulação. Após a chegada de todos os clientes, o atendimento dos clientes ocorrou de forma lenta até o fim da simulação.\n",
    "\n",
    "**Por fim, a utilização do sistema foi de 0.9999, o que indica que o sistema não é capaz de atender a demanda dos clientes. Um aumento na capacidade de atendimento do servidor é necessário para diminuir a utilização para um valor aceitável que proporcione uma melhor qualidade de atendimento.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": true
   },
   "source": [
    "## Conclusão"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Os três experimentos possibilitaram a observação do impacto da variação da taxa de chegada dos clientes em um sistema M/M/1. Entretanto, nem todos os experimentos apresentaram o comportamento esperado devido a inserção dos diferentes tipos de eventos. **A ocorrência de eventos do tipo 2 ressalta a necessidade do sistema operar com uma certa folga entre a taxa de chegada e a taxa de atendimento**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "7812ea015bdcee6f23a998adcdd2ef97c151c0c241b7b7070987d9313e41299d"
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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 },
 "nbformat": 4,
 "nbformat_minor": 2
}