{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "811abcf1-1705-444c-9a53-63103ca79ca3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Hjh1Th7XnFbesst/neQ0aNFBPIu7UqRPy8vKwevVqbNu2Tf3L5ueff4anpye2bNmiMQGzcKJ5aaytrRETE1Nk+ePHj9Wfo9CoUaMwatQoZGRk4OjRo5g9ezZ69+6NW7duqUfTXtStWzesWrUKO3bsKHF/KGRpaQmpVKpVPSYmJpg7dy7mzp2LJ0+eqEdA+vTpg5s3b770c5dH4dy15yfLv6iyPsOoUaOwdetWhIaGws3NDefOncOKFSs01rGxscHSpUuxdOlSREVF4c8//8SMGTMQFxeHvXv3ltj2mjVrIAgCtm3bhm3bthV5ff369ViwYAFkMlmpNb6qwlCanZ2t8f1S0h9hsbGxcHZ2Vi/Pzc0tMr/IxsYGTZo0weeff17sexYGUHo1HLkhnXtxdKWQsbExOnXqhLCwMDRp0gT+/v5FHi/+lVMWEokETZs2xTfffINatWqVeGE2oOCX9PXr13H58mWN5Rs3bizS5vOfqdCPP/6o8dzExAQtW7bE9u3bNf7yTktLw86dOzXW7d27NwRBQHR0dLF90Lhx4xLrrqz3Kc1XX30FS0tLfPbZZ+qzmSQSCQwNDTWCTWxsrFanUnfp0gXh4eFF/r82bNgAiUSCTp06FdnGxMQEPXr0wKxZs5CTk4Pr16+X2H6/fv3QuHFjLFq0CNeuXSt2nX379iEzMxMmJiZo1aoVtm/frrH/5ufn4+eff4aLi4vGROpC9vb2GDlyJAYPHoyIiIiXntFTXvXq1YOXlxfWrFlTYnCsrM8QHBwMZ2dnrF27FmvXroVSqSwyovc8Nzc3vP/++wgKCir1ezMvLw/r16+Hl5cXDh06VOQxdepUxMTE4K+//iqxjZJ+BpW2fnHrFp5VdeXKFY3lL36vFZ5d9csvv2gs//XXX4ucAdW7d29cu3YNXl5exX5fMtzoBkduSOfMzMzg7u6OP/74A126dIGVlRVsbGzg4eGBb7/9Fm3btkW7du3w7rvvwsPDA2lpabhz5w527typnl+hrV27dmH58uXo378/ateuDUEQsH37diQnJyMoKKjE7SZNmoQ1a9agV69eWLBggfpsqRf/Wq1fvz68vLwwY8YMCIIAKysr7Ny5s9hDIfPnz0f37t0RFBSEqVOnIi8vD19++SVMTEyQmJioXq9Nmzb4z3/+g1GjRuH8+fNo3749TExMEBMTg+PHj6Nx48Z49913S6y9st6nJJaWlpg5cyamT5+OjRs3YujQoejduze2b9+OCRMmYODAgXj48CHmz58PR0fHlx7imDx5MjZs2IBevXph3rx5cHd3x+7du7F8+XK8++676l/E77zzDoyMjNCmTRs4OjoiNjYWixYtgoWFBVq0aFFi+zKZDL///juCg4MREBCAd999F506dYKJiQkePHiAbdu2YefOnUhKSgIALFq0CEFBQejUqROmTZsGQ0NDLF++HNeuXcOmTZvUAa5Vq1bo3bs3mjRpAktLS9y4cQM//fQTAgICNE4r17UffvgBffr0QevWrTF58mS4ubkhKioK+/btU/9yrYzPIJPJMHz4cCxZsgTm5uYYMGCAxkUQU1JS0KlTJwwZMgT169eHmZkZzp07h71792LAgAEltvvXX3/h8ePH+PLLL4u9CKiPjw+WLVuGkJAQ9O7du9g2Ck/5X7VqFczMzKBUKuHp6VniH0+NGzfG4cOHsXPnTjg6OsLMzAze3t7o2bMnrKysMGbMGMybNw8GBgZYt24dHj58qLF9gwYNMHToUCxduhRyuRxdu3bFtWvX8PXXXxc582revHkIDQ1FYGAgJk6cCG9vb2RlZSEyMhJ79uzBypUrSz3sSFoSZx4zVXUlnS1lYmJSZN3izij4+++/BV9fX0GhUBQ5W+D+/fvC6NGjBWdnZ0Eulwu2trZCYGCgsGDBAvU6hWeJbN26VaPd+/fvCwCEtWvXCoIgCDdv3hQGDx4seHl5CUZGRoKFhYXQsmVLYd26dRrbvXiGjiAIQnh4uBAUFCQolUrByspKGDNmjPDHH38UOcuicD0zMzPB0tJSeOONN4SoqKhizwj7888/hSZNmgiGhoaCm5ub8MUXX5R4xsWaNWuEVq1aCSYmJoKRkZHg5eUlDB8+XDh//nyRdV9UGe9T3D5Q6NmzZ4Kbm5tQt25dITc3VxAEQfjiiy8EDw8PQaFQCA0aNBD+7//+r9iaivu/ePDggTBkyBDB2tpakMvlgre3t/C///1PyMvLU6+zfv16oVOnToK9vb1gaGgoODk5CW+++aZw5cqVl/aXIAhCcnKyMH/+fKF58+aCqampIJfLBTc3N2Ho0KHCiRMnNNY9duyY0LlzZ3WftW7dWti5c6fGOjNmzBD8/f0FS0tLQaFQCLVr1xYmT54sxMfHq9cp6XumQ4cOQqNGjYosd3d3F3r16qV+XtzZUoJQcCZcjx49BAsLC0GhUAheXl5FztTR1Wcoza1btwQAAgAhNDRU47WsrCxh/PjxQpMmTQRzc3PByMhI8Pb2FmbPni1kZGSU2Gb//v0FQ0NDIS4ursR13nrrLcHAwECIjY0VBKHo2VKCIAhLly4VPD09BZlMpvEzo7izpS5duiS0adNGMDY2FgAIHTp0UL929uxZITAwUDAxMRGcnZ2F2bNnC6tXr9Y4W0oQBCE7O1uYOnWqYGdnJyiVSqF169bCqVOnit3fnz59KkycOFHw9PQU5HK5YGVlJfj5+QmzZs0S0tPTS/zcpD2JIAhCZQcqIiIioorCOTdERESkVxhuiIiISK8w3BAREZFeYbghIiIivcJwQ0RERHqF4YaIiIj0So27iF9+fj4eP34MMzMzjaupEhERUdUlCALS0tLg5OQEqbT0sZkaF24eP34MV1dXscsgIiKicnj48OFLr+Jc48KNmZkZgILOefGy2K9KpVJh//79CA4Ohlwu12nb+oZ9pT32lfbYV2XD/tIe+0p7FdVXqampcHV1Vf8eL02NCzeFh6LMzc0rJNwYGxvD3NycO/9LsK+0x77SHvuqbNhf2mNfaa+i+0qbKSWcUExERER6heGGiIiI9ArDDREREekVhhsiIiLSKww3REREpFcYboiIiEivMNwQERGRXmG4ISIiIr3CcENERER6heGGiIiI9Iqo4ebo0aPo06cPnJycIJFIsGPHjpduc+TIEfj5+UGpVKJ27dpYuXJlxRdKRERE1Yao4SYjIwNNmzbFsmXLtFr//v376NmzJ9q1a4ewsDB88sknmDhxIn777bcKrpSIiIiqC1FvnNmjRw/06NFD6/VXrlwJNzc3LF26FADQoEEDnD9/Hl9//TVef/31CqpSe6nPVHiQJnYVRERENVu1uiv4qVOnEBwcrLGsW7duCAkJgUqlKvbuo9nZ2cjOzlY/T01NBVBw11KVSqWz2i4/SsGQ1eeglMowKjtHZ+3qq8K+1+X/gb5iX2mPfVU27C/tsa+0V1F9VZb2qlW4iY2Nhb29vcYye3t75ObmIj4+Ho6OjkW2WbRoEebOnVtk+f79+2FsbKyz2nLzARlkSFVJsGL7AXhbCDprW5+FhoaKXUK1wb7SHvuqbNhf2mNfaU/XfZWZman1utUq3ACARCLReC4IQrHLC82cORNTpkxRP09NTYWrqyuCg4Nhbm6u09pOq65h68XHiDF0xuSeTXTatr5RqVQIDQ1FUFBQsSNu9C/2lfbYV2XD/tIe+0p7FdVXhUdetFGtwo2DgwNiY2M1lsXFxcHAwADW1tbFbqNQKKBQKIosl8vlOt9B+/s6YevFxwi9EY88SKGUy3Tavj6qiP8HfcW+0h77qmzYX9pjX2lP131Vlraq1XVuAgICigxz7d+/H/7+/lViZ/N3s0QtQwHp2bk4eDNO7HKIiIhqJFHDTXp6Oi5duoRLly4BKDjV+9KlS4iKigJQcEhp+PDh6vXHjx+PBw8eYMqUKbhx4wbWrFmDkJAQTJs2TYzyi5BKJfCzKThM9ntYtMjVEBER1Uyihpvz58/D19cXvr6+AIApU6bA19cXn332GQAgJiZGHXQAwNPTE3v27MHhw4fRrFkzzJ8/H999912VOA28kL9NPgDgcEQckjN51hQREVFlE3XOTceOHdUTgouzbt26Iss6dOiAixcvVmBVr8bJBPC2N0XEk3TsuRqLIa3cxC6JiIioRqlWc26qiz5NCk5J33GJh6aIiIgqG8NNBejbtCDcnL2fiOjkZyJXQ0REVLMw3FQARwslWnlaAQD+vPRY5GqIiIhqFoabCtLf1xkAsINnTREREVUqhpsK0tPHEYYyKSKepOFGjPZXVSQiIqJXw3BTQSyM5ejobQuAozdERESVieGmAg1o/s+hqUvRyMvnjTSJiIgqA8NNBepU3w61jOV4kpqN43fixS6HiIioRmC4qUAKAxn6NHECAGy/+EjkaoiIiGoGhpsK9rqfCwBg3/VYpGWpRK6GiIhI/zHcVLCmLhbwsjVBliofe67GiF0OERGR3mO4qWASiQQDmheM3vx2kWdNERERVTSGm0owoLkzJJKC2zE8TMwUuxwiIiK9xnBTCRwtjNDGywYA8BsnFhMREVUohptKUnjNm+0XoyEIvOYNERFRRWG4qSTdfRxgbChDVGImzj9IErscIiIivcVwU0mMDQ3Qw8cRAK95Q0REVJEYbirR634Fh6Z2XY7Bs5w8kashIiLSTww3lai1pzWcaxkhLTsX+67Hil0OERGRXmK4qURSqQRv+Bdc8+bX8w9FroaIiEg/MdxUsoF+LpBIgJN3E3jNGyIiogrAcFPJXCyN0bZOwTVvtnL0hoiISOcYbkTwhr8rAGDbhUfIy+c1b4iIiHSJ4UYEwQ3tYWEkx+OULJy4Ey92OURERHqF4UYESrkM/Zs5AeDEYiIiIl1juBFJ4aGp/defICkjR+RqiIiI9AfDjUh8nC3Q0NEcOXn5+ONStNjlEBER6Q2GGxENalEwevPred6OgYiISFcYbkTUr5kTDGVShMek4lp0itjlEBER6QWGGxHVMjZEcCN7AMCWc5xYTEREpAsMNyJ7q4UbAGBHWDRvpklERKQDDDciC/SyhpuVMdKyc7HrymOxyyEiIqr2GG5EJpVK8FbLgonFm85GiVwNERFR9cdwUwUM9HOBgVSCi1HJuBmbKnY5RERE1RrDTRVgZ6ZEUMOCicWbz3JiMRER0atguKkiBrcsmFi8/eIjTiwmIiJ6BQw3VUTbOjZwtTJCalYudl+NEbscIiKiaovhpoqQSiXq08I5sZiIiKj8GG6qkDf8CyYWX3iQhIjYNLHLISIiqpYYbqoQOzMlujYomFjM0RsiIqLyYbipYga3+ndicZaKE4uJiIjKiuGmimlXxwYulgUTi3de5hWLiYiIyorhpoqRSiV4u5U7AODn0w9EroaIiKj6Ybipgt70d4GhTIrLj1Jw+WGy2OUQERFVKww3VZC1qQK9mjgC4OgNERFRWTHcVFFDWxccmvrz8mMkZ+aIXA0REVH1wXBTRTV3q4WGjubIzs3HtguPxC6HiIio2mC4qaIkEgmGBfw7sTg/XxC5IiIiouqB4aYK69fMCWYKA0QmZOL4nXixyyEiIqoWGG6qMGNDA7zu5wIA+IkTi4mIiLTCcFPFFU4sPnDjCaKTn4lcDRERUdXHcFPF1bEzRaCXNfIFYOMZjt4QERG9DMNNNTD8n4nFm84+5P2miIiIXoLhphro2sAezrWMkJiRw/tNERERvQTDTTVgIJOqTwtfdzISgsDTwomIiErCcFNNvNXCFUq5FNcfp+L8gySxyyEiIqqyGG6qiVrGhnjN1xkAsO5EpLjFEBERVWGih5vly5fD09MTSqUSfn5+OHbsWKnr//LLL2jatCmMjY3h6OiIUaNGISEhoZKqFdeIQA8AwN7rsXjM08KJiIiKJWq42bJlCyZNmoRZs2YhLCwM7dq1Q48ePRAVFVXs+sePH8fw4cMxZswYXL9+HVu3bsW5c+cwduzYSq5cHPUdzBFQ2xp5+QLvFk5ERFQCUcPNkiVLMGbMGIwdOxYNGjTA0qVL4erqihUrVhS7/unTp+Hh4YGJEyfC09MTbdu2xbhx43D+/PlKrlw8I9t4AAA2nY3iaeFERETFEC3c5OTk4MKFCwgODtZYHhwcjJMnTxa7TWBgIB49eoQ9e/ZAEAQ8efIE27ZtQ69evSqj5Cqh8LTwpEwV/rzE08KJiIheZCDWG8fHxyMvLw/29vYay+3t7REbG1vsNoGBgfjll18waNAgZGVlITc3F3379sX3339f4vtkZ2cjOztb/Tw1NRUAoFKpoFKpdPBJ/lXYnq7bfdHQVq74ct8trDl+D/2b2kMikVTo+1WEyuorfcC+0h77qmzYX9pjX2mvovqqLO1JBJEumvL48WM4Ozvj5MmTCAgIUC///PPP8dNPP+HmzZtFtgkPD0fXrl0xefJkdOvWDTExMfjoo4/QokULhISEFPs+c+bMwdy5c4ss37hxI4yNjXX3gSpRZi4w+4IMOfkSvN8wD3UteN0bIiLSb5mZmRgyZAhSUlJgbm5e6rqihZucnBwYGxtj69ateO2119TLP/zwQ1y6dAlHjhwpss2wYcOQlZWFrVu3qpcdP34c7dq1w+PHj+Ho6Fhkm+JGblxdXREfH//SzikrlUqF0NBQBAUFQS6X67TtF83eGY6NZx+hs7ctfhzqW6HvVREqs6+qO/aV9thXZcP+0h77SnsV1VepqamwsbHRKtyIdljK0NAQfn5+CA0N1Qg3oaGh6NevX7HbZGZmwsBAs2SZTAYAJV61V6FQQKFQFFkul8srbAetyLYLjW3nhY1nH+FgxFNEJWfDy9a0Qt+volRGX+kL9pX22Fdlw/7SHvtKe7ruq7K0JerZUlOmTMHq1auxZs0a3LhxA5MnT0ZUVBTGjx8PAJg5cyaGDx+uXr9Pnz7Yvn07VqxYgXv37uHEiROYOHEiWrZsCScnJ7E+hihq25qiawM7AMCa4/dFroaIiKjqEG3kBgAGDRqEhIQEzJs3DzExMfDx8cGePXvg7l5wH6WYmBiNa96MHDkSaWlpWLZsGaZOnYpatWqhc+fO+PLLL8X6CKIa2642/r4Rh98uPsLUYG9YmRiKXRIREZHoRA03ADBhwgRMmDCh2NfWrVtXZNkHH3yADz74oIKrqh5aeVrBx9kc16JTsfHMA7zfua7YJREREYlO9NsvUPlJJBKMbVsbALD+1ANk5/KifkRERAw31VyvJo5wMFfiaVo2L+pHREQEhptqTy6Tqm/JEHL8folnjREREdUUDDd6YHALNxgbynAzNg0n7tSMO6QTERGVhOFGD1gYy/GmvysAYNWxeyJXQ0REJC6GGz0xpq0npBLg6K2nuP44RexyiIiIRMNwoydcrYzRq0nBhQxXHeXoDRER1VwMN3pkXPuC08J3XYnBw8RMkashIiISB8ONHvFxtkC7ujbIyxewmnNviIiohmK40TPjO3gBALacf4jEjByRqyEiIqp8DDd6JtDLGo2dLZClysf6k5Fil0NERFTpGG70jEQiUY/erD8VicycXJErIiIiqlwMN3qou48D3K2NkZypwpZzD8Uuh4iIqFIx3OghmVSCd9oVnDm1+th9qPLyRa6IiIio8jDc6KmBfi6wMTVEdPIz7LzMG2oSEVHNwXCjp5RyGUa39QQA/HDoDvLzeUNNIiKqGRhu9Niw1u4wVxrg7tMM7L0eK3Y5RERElYLhRo+ZKeUYGegBoGD0RhA4ekNERPqP4UbPjWrjCWNDGa4/TsXhiKdil0NERFThGG70nKWJId5u5QYAWMbRGyIiqgEYbmqAd9rVhqGBFBceJOH0vUSxyyEiIqpQDDc1gJ25EoP8XQEUzL0hIiLSZww3NcS4DrVhIJXg+J14hEUliV0OERFRhWG4qSFcLI3R39cZALDsIEdviIhIfzHc1CATOnpBKgEO3IzD1UcpYpdDRERUIRhuapDatqbo16xg9ObbA7dEroaIiKhiMNzUMO93rgOpBPj7BkdviIhIPzHc1DBeHL0hIiI9x3BTA3H0hoiI9BnDTQ3E0RsiItJnDDc1FEdviIhIXzHc1FAcvSEiIn3FcFODPT96c+VRstjlEBER6QTDTQ3mZWuK/v+M3izez9EbIiLSDww3NdyHXevCQCrBkVtPcS6SdwwnIqLqj+GmhnO3NsEb/9wx/H/7IiAIgsgVERERvRqDsm4gCAKOHDmCY8eOITIyEpmZmbC1tYWvry+6du0KV1fXiqiTKtAHnevgtwuPcPZ+Io7djkf7erZil0RERFRuWo/cPHv2DAsXLoSrqyt69OiB3bt3Izk5GTKZDHfu3MHs2bPh6emJnj174vTp0xVZM+mYUy0jvN3aDQDw9X6O3hARUfWm9chNvXr10KpVK6xcuRLdunWDXC4vss6DBw+wceNGDBo0CP/973/xzjvv6LRYqjgTOtbB5rMPceVRCvaHP0G3Rg5il0RERFQuWo/c/PXXX9i2bRt69+5dbLABAHd3d8ycORO3b99Gx44ddVUjVQJbMwVGtfEAACzZfwt5+Ry9ISKi6knrcOPj46N1o4aGhqhbt265CiLxjGvvBTOlASKepGHXlcdil0NERFQuPFuK1CyM5fhPu9oAgG9Cb0GVly9yRURERGWn03DToEEDyGQyXTZJlWxUW0/YmBoiMiETm889FLscIiKiMtNpuFm0aBHWrFmjyyapkpkqDDCxS8EhxW//vo2M7FyRKyIiIiobnYab/v37Y8SIEbpskkTwVgs3uFsbIz49GyHH74tdDhERUZlwzg0VYWggxbRgbwDAj0fuIiE9W+SKiIiItKf1dW58fX0hkUi0WvfixYvlLoiqhl6NHbHq6D1cjU7B9wfvYE7fRmKXREREpBWtw03//v0rsAyqaqRSCWb0qI+3V5/BL2ceYHQbT7hZG4tdFhER0UtpHW5mz55dkXVQFdSmjg3a1bXBsdvxWBwagW/f8hW7JCIiopcq95yb5ORkrF69GjNnzkRiYiKAgsNR0dHROiuOxPdx9/oAgD8uPca16BSRqyEiInq5coWbK1euoF69evjyyy/x9ddfIzk5GQDw+++/Y+bMmbqsj0Tm42yB/s2cAAALdofzpppERFTllSvcTJkyBSNHjsTt27ehVCrVy3v06IGjR4/qrDiqGj7qXh8KAylO30vE/vAnYpdDRERUqnKFm3PnzmHcuHFFljs7OyM2NvaVi6KqxbmWEd7557YMi/bcQE4ub8tARERVV7nCjVKpRGpqapHlERERsLW1feWiqOoZ39ELtmYKRCZkYsOpSLHLISIiKlG5wk2/fv0wb948qFQqAIBEIkFUVBRmzJiB119/XacFUtVgqjDAtOB6AIDvDtxGUkaOyBUREREVr1zh5uuvv8bTp09hZ2eHZ8+eoUOHDqhTpw7MzMzw+eef67pGqiIG+rmigaM5UrNy8e2B22KXQ0REVCytr3PzPHNzcxw/fhwHDx7ExYsXkZ+fj+bNm6Nr1666ro+qEJlUgk97NcCQ1Wfw0+kHGNraHXXsTMUui4iISEOZw01ubi6USiUuXbqEzp07o3PnzhVRF1VRgXVs0LWBPf6+8QSL9txAyMgWYpdERESkocyHpQwMDODu7o68vDydFLB8+XJ4enpCqVTCz88Px44dK3X97OxszJo1C+7u7lAoFPDy8sKaNWt0Ugtp55Oe9WEgleDAzTgcvx0vdjlEREQayjXn5r///a/GlYnLa8uWLZg0aRJmzZqFsLAwtGvXDj169EBUVFSJ27z55ps4cOAAQkJCEBERgU2bNqF+/fqvVAeVTW1bUwwLcAdQcGG/vHxe2I+IiKqOcs25+e6773Dnzh04OTnB3d0dJiYmGq9re1fwJUuWYMyYMRg7diwAYOnSpdi3bx9WrFiBRYsWFVl/7969OHLkCO7duwcrKysAgIeHR3k+Ar2iD7vUxfaL0bgZm4Zfzz/E4JZuYpdEREQEoJzhRhd3CM/JycGFCxcwY8YMjeXBwcE4efJksdv8+eef8Pf3x1dffYWffvoJJiYm6Nu3L+bPnw8jI6NXrom0V8vYEB92qYt5u8KxeH8EejdxhJlSLnZZRERE5Qs3urhDeHx8PPLy8mBvb6+x3N7evsSrHN+7dw/Hjx+HUqnE77//jvj4eEyYMAGJiYklzrvJzs5Gdna2+nnhxQdVKpX6Oj26Utiertutqgb5OeGnU5G4n5CJJfsj8EkPb623rWl99SrYV9pjX5UN+0t77CvtVVRflaU9iVBBd0IUBAESiaTE1x8/fgxnZ2ecPHkSAQEB6uWff/45fvrpJ9y8ebPINsHBwTh27BhiY2NhYWEBANi+fTsGDhyIjIyMYkdv5syZg7lz5xZZvnHjRhgbG5fno9FzbiRLsPKGDFII+KhpHpzYpUREVAEyMzMxZMgQpKSkwNzcvNR1tR65adCgAT799FMMHDgQhoaGJa53+/ZtLFmyBO7u7kUOOT3PxsYGMpmsyChNXFxckdGcQo6OjnB2dlYHm8K6BEHAo0ePULdu3SLbzJw5E1OmTFE/T01NhaurK4KDg1/aOWWlUqkQGhqKoKAgyOU14xBNTwB3N15C6I04HEqxxc+v+5caagvVxL4qL/aV9thXZcP+0h77SnsV1VfF3fapJFqHmx9++AEff/wx3nvvPQQHB8Pf3x9OTk5QKpVISkpCeHg4jh8/jvDwcLz//vuYMGFCqe0ZGhrCz88PoaGheO2119TLQ0ND0a9fv2K3adOmDbZu3Yr09HSYmhZcPO7WrVuQSqVwcXEpdhuFQgGFQlFkuVwur7AdtCLbropm922EY3ficTYyCX+FP0W/Zs5ab1vT+upVsK+0x74qG/aX9thX2tN1X5WlLa3DTefOnXHu3DmcPHkSW7ZswcaNGxEZGYlnz57BxsYGvr6+GD58OIYOHYpatWpp1eaUKVMwbNgw+Pv7IyAgAKtWrUJUVBTGjx8PoGDUJTo6Ghs2bAAADBkyBPPnz8eoUaMwd+5cxMfH46OPPsLo0aM5oVhELpbGeK9jHSwOvYWFe26gSwN7mCrKNZ2LiIjolZX5N1BgYCACAwN18uaDBg1CQkIC5s2bh5iYGPj4+GDPnj1wdy+4hkpMTIzGNW9MTU0RGhqKDz74AP7+/rC2tsabb76JBQsW6KQeKr932tfGtouP8CAhE98duI1PejYQuyQiIqqhRP/zesKECSUewlq3bl2RZfXr10doaGgFV0VlpZTLMKdvI4xaew5rjt/HG34uqGtvJnZZRERUA5XrCsVExenkbYeghvbIzRfw2R/XUUEn4hEREZWK4YZ06rPeDaEwkOLUvQTsuhIjdjlERFQDMdyQTrlaGWNCxzoAgM9330BGdq7IFRERUU3DcEM6N65DbbhZGSM2NQvfHbwtdjlERFTDlDvc3L17F//9738xePBgxMXFASi4seX169d1VhxVT0q5DLP7NAQAhBy7j4jYNJErIiKimqRc4ebIkSNo3Lgxzpw5g+3btyM9PR0AcOXKFZ3cd4qqvy4N7BH8z+TiGduvID+fk4uJiKhylCvczJgxAwsWLEBoaKjGrRg6deqEU6dO6aw4qt7m9msEU4UBwqKS8cuZB2KXQ0RENUS5ws3Vq1c1bplQyNbWFgkJCa9cFOkHRwsjTO9ecKfwL/dGIDYlS+SKiIioJihXuKlVqxZiYoqe5hsWFgZnZ+3vK0T67+1W7vB1q4X07FzM/vOa2OUQEVENUK5wM2TIEHz88ceIjY2FRCJBfn4+Tpw4gWnTpmH48OG6rpGqMZlUgkUDGsNAKsG+60+w91rsyzciIiJ6BeUKN59//jnc3Nzg7OyM9PR0NGzYEO3bt0dgYCD++9//6rpGqubqO5hjXIfaAIA5f15HWpZK5IqIiEiflSvcyOVy/PLLL7h16xZ+/fVX/Pzzz7h58yZ++uknyGQyXddIeuCDznXhYV1w7Zuv90WIXQ4REemxV7pxppeXF7y8vHRVC+kxpVyGz19rjLdXn8GG0w/Qq7G92CUREZGe0jrcTJkyRetGlyxZUq5iSL+1qWOD15u74LeLj/DfHeEY7yl2RUREpI+0DjdhYWEazy9cuIC8vDx4exec6nvr1i3IZDL4+fnptkLSK7N6NcChiDjcikvHAYUEfcQuiIiI9I7W4ebQoUPqr5csWQIzMzOsX78elpaWAICkpCSMGjUK7dq1032VpDesTAzxae8GmLzlMvY+kuL2k3Q0dLEUuywiItIj5ZpQvHjxYixatEgdbADA0tISCxYswOLFi3VWHOmn/s2c0bGeDfIECT7+/Rpy8/LFLomIiPRIucJNamoqnjx5UmR5XFwc0tJ4k0QqnUQiwYJ+DWEkE3A1OhU/Hr0ndklERKRHyhVuXnvtNYwaNQrbtm3Do0eP8OjRI2zbtg1jxozBgAEDdF0j6SF7cyVe9ywYsVn69y3cjE0VuSIiItIX5Qo3K1euRK9evTB06FC4u7vD3d0db7/9Nnr06IHly5frukbSU/42Ajp720KVJ2Da1stQ8fAUERHpQLnCjbGxMZYvX46EhASEhYXh4sWLSExMxPLly2FiYqLrGklPSSTA/H4NYWEkx7XoVKw8fFfskoiISA+UK9wUMjExQZMmTdC0aVOGGioXOzMF5vZtBAD47uBt3Ijh4SkiIno15b5C8blz57B161ZERUUhJydH47Xt27e/cmFUc/Rr5oTdV2MQGv4E07Zexo732kAue6XcTURENVi5foNs3rwZbdq0QXh4OH7//XeoVCqEh4fj4MGDsLCw0HWNpOckEgk+f80HtYzluP44FcsP8fAUERGVX7nCzcKFC/HNN99g165dMDQ0xLfffosbN27gzTffhJubm65rpBrAzkypPjz1/cHbuP44ReSKiIiouipXuLl79y569eoFAFAoFMjIyIBEIsHkyZOxatUqnRZINUffpk7o3sgBufkCJm+5hCxVntglERFRNVSucGNlZaW+WJ+zszOuXbsGAEhOTkZmZqbuqqMapfDwlI2pAreepOOLv26KXRIREVVD5Qo37dq1Q2hoKADgzTffxIcffoh33nkHgwcPRpcuXXRaINUs1qYK/O+NJgCAdScjcTgiTuSKiIiouilXuFm2bBneeustAMDMmTMxbdo0PHnyBAMGDEBISIhOC6Sap5O3HUYGegAApm29goT0bHELIiKiaqVcp4JbWVmpv5ZKpZg+fTqmT5+us6KIZvSoj5N343HrSTo+/u0q/m+4HyQSidhlERFRNaD1yE1qaqrWD6JXpZTLsHSQLwxlUvx94wk2no0SuyQiIqomtB65qVWrltZ/Oefl8SwXenUNncwxvbs3Fuy+gfm7wtG6tjW8bE3FLouIiKo4rcPNoUOH1F9HRkZixowZGDlyJAICAgAAp06dwvr167Fo0SLdV0k11ug2njgc8RTH78Rj0uZL+O3dQBga8OrFRERUMq3DTYcOHdRfz5s3D0uWLMHgwYPVy/r27YvGjRtj1apVGDFihG6rpBpLKpXg6zeaovu3R3E1OgXf/H0LH3evL3ZZRERUhZXrT+BTp07B39+/yHJ/f3+cPXv2lYsiep6DhRKLXmsMAFh55C5O3o0XuSIiIqrKyhVuXF1dsXLlyiLLf/zxR7i6ur5yUUQv6tHYEYP8XSEIwIebL+FpGk8PJyKi4pXrVPBvvvkGr7/+Ovbt24fWrVsDAE6fPo27d+/it99+02mBRIXm9G2EsIdJuPUkHZO3XML60S0hk/L0cCIi0lSukZuePXvi1q1b6Nu3LxITE5GQkIB+/frh1q1b6Nmzp65rJAIAGBnK8MOQ5jCSy3D8TjyWH7ojdklERFQFlWvkBig4NLVw4UJd1kL0UnXtzbCgvw+mbr2Mb/6+BX8PKwR4WYtdFhERVSFah5srV67Ax8cHUqkUV65cKXXdJk2avHJhRCV53c8Fp+4lYNuFR5i4OQx7JraDrZlC7LKIiKiK0DrcNGvWDLGxsbCzs0OzZs0gkUggCEKR9SQSCS/iRxVuXr9GuPwwGbfjOP+GiIg0aR1u7t+/D1tbW/XXRGIyNjTA8rebo++yE+r5Nx90qSt2WUREVAVoHW7c3d2L/ZpILHXtzTC/vw+mcf4NERE9p1xnS61fvx67d+9WP58+fTpq1aqFwMBAPHjwQGfFEb3MQD8XvN7cBfkCMHFzGOLSssQuiYiIRFaucLNw4UIYGRkBKLha8bJly/DVV1/BxsYGkydP1mmBRC8zv38j1LUzxdO0bLz3y0Xk5OaLXRIREYmoXOHm4cOHqFOnDgBgx44dGDhwIP7zn/9g0aJFOHbsmE4LJHoZY0MDrBzmBzOFAc5FJuHz3eFil0RERCIqV7gxNTVFQkICAGD//v3o2rUrAECpVOLZs2e6q45IS162plgyqBkAYP2pB/jtwiNxCyIiItGUK9wEBQVh7NixGDt2LG7duoVevXoBAK5fvw4PDw9d1kektaCG9pj4zxlTn/x+FdeiU0SuiIiIxFCucPPDDz8gICAAT58+xW+//QZr64IzVC5cuIDBgwfrtECispjUpS4617dDdm4+xv10AYkZOWKXRERElaxct1+oVasWli1bVmT53LlzX7kgolchlUrwzaBm6LfsOCITMvHBpotYP6olDGTlyvFERFQNlfveUsnJyTh79izi4uKQn//v2SkSiQTDhg3TSXFE5WFhJMePw/zx2vITOHEnAf/bF4GZPRuIXRYREVWScoWbnTt34u2330ZGRgbMzMwgkfx72XuGG6oKvB3M8NXAJnh/Yxh+PHoPjV0s0LuJk9hlERFRJSjXWP3UqVMxevRopKWlITk5GUlJSepHYmKirmskKpfeTZwwrn1tAMBHW69wgjERUQ1RrnATHR2NiRMnwtjYWNf1EOnUR9280a6uDZ6p8jB2/Xk8SeUVjImI9F25wk23bt1w/vx5XddCpHMGMimWDWkOL1sTxKZm4Z0N5/Esh3etJyLSZ+Wac9OrVy989NFHCA8PR+PGjSGXyzVe79u3r06KI9IFCyM51oxsgf4/nMCVRymYtvUyvh/sC6lU8vKNiYio2ilXuHnnnXcAAPPmzSvymkQiQV4e/zKmqsXd2gQrh/phaMgZ7L4aAy9bE0wJ9ha7LCIiqgDlOiyVn59f4oPBhqqqVrWt8flrjQEA3x28gz8uRYtcERERVYRXvrJZVtarTdBcvnw5PD09oVQq4efnp/WNN0+cOAEDAwM0a9bsld6fapY3/V3/PYNq2xVcjEoSuSIiItK1coWbvLw8zJ8/H87OzjA1NcW9e/cAAJ9++ilCQkK0bmfLli2YNGkSZs2ahbCwMLRr1w49evRAVFRUqdulpKRg+PDh6NKlS3nKpxpuevf66NrAHjm5+fjPhguITubNXomI9Em5ws3nn3+OdevW4auvvoKhoaF6eePGjbF69Wqt21myZAnGjBmDsWPHokGDBli6dClcXV2xYsWKUrcbN24chgwZgoCAgPKUTzWcTCrBt281Q30HM8SnZ2PU2rNIeaYSuywiItKRck0o3rBhA1atWoUuXbpg/Pjx6uVNmjTBzZs3tWojJycHFy5cwIwZMzSWBwcH4+TJkyVut3btWty9exc///wzFixY8NL3yc7ORnZ2tvp5amoqAEClUkGl0u0vtML2dN2uPhK7rwylwI9vN8Mbq87i1pN0vLP+HNaM8IPCoOrdg0rsvqpO2Fdlw/7SHvtKexXVV2Vpr1zhJjo6GnXq1CmyPD8/X+s3j4+PR15eHuzt7TWW29vbIzY2tthtbt++jRkzZuDYsWMwMNCu9EWLFhV7Q8/9+/dX2EUIQ0NDK6RdfSR2X43wBL67LsPZyCQMW7Yfw+vmo6qeIS52X1Un7KuyYX9pj32lPV33VWZmptbrlivcNGrUCMeOHYO7u7vG8q1bt8LX17dMbT1/XyoAEAShyDKgYJ7PkCFDMHfuXNSrV0/r9mfOnIkpU6aon6empsLV1RXBwcEwNzcvU60vo1KpEBoaiqCgoCLX/iFNVamvGjVPwNgNFxGWIEXz+p6Y0b1qnSJelfqqqmNflQ37S3vsK+1VVF8VHnnRRrnCzezZszFs2DBER0cjPz8f27dvR0REBDZs2IBdu3Zp1YaNjQ1kMlmRUZq4uLgiozkAkJaWhvPnzyMsLAzvv/8+gIKRIkEQYGBggP3796Nz585FtlMoFFAoFEWWy+XyCttBK7JtfVMV+qpjfQf8740mmLzlMkJOPICTpQnGtPUUtabiVIW+qi7YV2XD/tIe+0p7uu6rsrRVrgkGffr0wZYtW7Bnzx5IJBJ89tlnuHHjBnbu3ImgoCCt2jA0NISfn1+RYavQ0FAEBgYWWd/c3BxXr17FpUuX1I/x48fD29sbly5dQqtWrcrzUYgAAK/5uuDj7vUBAAt2h2P3lRiRKyIiovIq18gNUHB/qW7dur3Sm0+ZMgXDhg2Dv78/AgICsGrVKkRFRaknKc+cORPR0dHYsGEDpFIpfHx8NLa3s7ODUqksspyoPMZ3qI2YlGfYcOoBJm+5BGtTQ7SubS12WUREVEblGrmpXbs2EhISiixPTk5G7dq1tW5n0KBBWLp0KebNm4dmzZrh6NGj2LNnj3ouT0xMzEuveUOkKxKJBLP7NEK3RvbIycvHfzacR0RsmthlERFRGZUr3ERGRhZ7m4Xs7GxER5ftkvYTJkxAZGQksrOzceHCBbRv31792rp163D48OESt50zZw4uXbpUpvcjKk3BNXB84eduidSsXAwLOYOoBO1n6BMRkfjKdFjqzz//VH+9b98+WFhYqJ/n5eXhwIED8PDw0FlxRGJQymUIGeGPQT+eRsSTNLwdchpbxwXCwUIpdmlERKSFMoWb/v37AygYvh8xYoTGa3K5HB4eHli8eLHOiiMSSy1jQ/w0piXe+PEUHiRkYljIGWwZFwArE8OXb0xERKIq02Gpwjt/u7m5IS4uTuNu4NnZ2YiIiEDv3r0rqlaiSmVnrsTPY1rBwVyJ23HpGLHmLNKyeHVSIqKqrlxzbu7fvw8bGxtd10JU5bhaGePnsS1hZWKIq9EpGLP+PLJUReebERFR1VHuU8EPHDiAAwcOqEdwnrdmzZpXLoyoqqhjZ4YNo1ti8KrTOHs/Ee/+fAE/DvOHYRW8DxUREZVz5Gbu3LkIDg7GgQMHEB8fj6SkJI0Hkb7xcbZAyMgWUMqlOBTxFFN+vYS8fEHssoiIqBjlGrlZuXIl1q1bh2HDhum6HqIqq6WnFVYO9cM7G85j15UYGBpI8b+BTSGrqnfaJCKqoco1cpOTk1PsLRKI9F1Hbzt8P9gXMqkE2y9GY/q2KxzBISKqYsoVbsaOHYuNGzfquhaiaqG7jyO+e6sg4Px28RE+/u0K8hlwiIiqjHIdlsrKysKqVavw999/o0mTJkXu1LlkyRKdFEdUVfVq4ggBAj7cfAnbLjyCBMCXrzeBlIeoiIhEV65wc+XKFTRr1gwAcO3aNY3XJBL+cKeaoXcTJwgC8OHmMGy98AgSCfDFAAYcIiKxlSvcHDp0SNd1EFVLfZo6QQAwaXMYfj3/CFKJBAtfa8yAQ0QkIl6og+gV9W3qhG8GNYNUAmw+9xCzdlzlHBwiIhGVaeRmwIABWq23ffv2chVDVF31a+YMQQCm/HoJm84+RLYqH18NbAIDGf9+ICKqbGUKN8/fBZyINPX3dYZEAkz59TK2h0UjMycP3w5uBoWBTOzSiIhqlDKFm7Vr11ZUHUR6oV8zZxjJZXh/Yxj2Xo/FfzZcwMqhfjAyZMAhIqosHDMn0rHgRg4IGekPI7kMR249xYi1vJs4EVFlYrghqgDt6tpiw5iWMFMY4Oz9RAxdfQbJmTlil0VEVCMw3BBVkBYeVtj4TmtYGstx+VEK3lp1Gk/TssUui4hI7zHcEFWgxi4W2DIuALZmCtyMTcObP55CVEKm2GUREek1hhuiClbP3gxbxwXAuZYR7sdnYMCKk7gWnSJ2WUREeovhhqgSeNiYYPuEQNR3MEN8ejbeWnUaJ+7Ei10WEZFeYrghqiT25kr8Oj4ArWtbIT07FyPXnsWflx+LXRYRkd5huCGqROZKOdaPbolejR2hyhMwcVMYQo7fF7ssIiK9wnBDVMkUBjJ8P9gXIwM9AADzd4Vj0Z4bvB8VEZGOMNwQiUAqlWB2n4b4uHt9AMCPR+9h0pZLyFLliVwZEVH1x3BDJBKJRIJ3O3rh6zeawkAqwZ+XH+Pt1WeQkM5r4RARvQqGGyKRDfRzwfrRLWGmNMCFB0nov/wEbj9JE7ssIqJqi+GGqApoU8cGv09oAzcrYzxMfIYBy0/i2O2nYpdFRFQtMdwQVRF17Eyx4702aOFhibTsXIxcew4/n34gdllERNUOww1RFWJlYoifx7bCa77OyMsX8N8d1/D5npvgiVRERNpjuCGqYhQGMix5symmBtUDAKw7FYVVN6VIeaYSuTIiouqB4YaoCpJIJPigS10sG+ILpVyKG8lSDFh5Grc40ZiI6KUYboiqsN5NnLB5bEtYKQREJT5D/x9OYO+1GLHLIiKq0hhuiKq4Rk7mmNo4DwG1rZCZk4fxP1/E1/sieEVjIqISMNwQVQOmcmDN8OYY09YTALDs0B2M3XCe83CIiIrBcENUTRjIpPi0d0N8M6gpFAZSHLwZh9d+OIGIWM7DISJ6HsMNUTXzmq8Lfns3EE4WStyLz0C/H45j24VHYpdFRFRlMNwQVUM+zhbY+UFbtK9niyxVPqZtvYzp2y7jWQ5vvElExHBDVE1ZmyqwbmQLTA2qB6kE+PX8I7y2/ATuPk0XuzQiIlEx3BBVY1JpwfVwfh7TCjamCtyMTUPf749j5+XHYpdGRCQahhsiPRBYxwZ7JrZFK08rZOTk4YNNYfjvjqvIUvEwFRHVPAw3RHrCzlyJX8a2wvud6gAAfj4dhX7LTuBmbKrIlRERVS6GGyI9YiCTYlo3b6wf3RI2pgpEPElD32UnsO7EfQgCL/pHRDUDww2RHupQzxZ7J7VDJ29b5OTmY87OcIxedw7x6dlil0ZEVOEYboj0lI2pAmtGtsCcPg1haCDFoYin6L70KA5HxIldGhFRhWK4IdJjEokEI9t44s/328Db3gzx6TkYufYc5vx5ndfEISK9xXBDVAPUdzDHH++3wYgAdwDAupOR6PXdMVyMShK5MiIi3WO4IaohlHIZ5vbzwdpRLWBvrsC9+AwMXHESX/x1E9m5HMUhIv3BcENUw3TytsP+SR3wmq8z8gVg5ZG76Pv9CVyLThG7NCIinWC4IaqBLIzl+GZQM/w4zA82poaIeJKG/j+cwDeht6DKyxe7PCKiV8JwQ1SDdWvkgH2T2qNnYwfk5gv49sBt9Pn+OK48Sha7NCKicmO4IarhrE0V+GFIc3w32Be1jOW4GVswirNgVzgyc3LFLo+IqMwYbogIEokEfZs64e8pHdCvmRPyBWD18fsI/uYojtx6KnZ5RERlwnBDRGo2pgp8+5Yv1o5qAedaRniU9Awj1pzFlC2XkJiRI3Z5RERaYbghoiI6edth/+T2GNXGAxIJsD0sGl2XHMG2C494jyoiqvIYboioWCYKA8zu0wjb3w2Et70ZEjNyMG3rZbz54yneaZyIqjSGGyIqla+bJXZ+0BYfd68PI7kM5yKT0Ou745i/KxxpWSqxyyMiKkL0cLN8+XJ4enpCqVTCz88Px44dK3Hd7du3IygoCLa2tjA3N0dAQAD27dtXidUS1UyGBlK829ELf0/tgB4+DsjLFxBy/D66LD6CPy8/5qEqIqpSRA03W7ZswaRJkzBr1iyEhYWhXbt26NGjB6Kioopd/+jRowgKCsKePXtw4cIFdOrUCX369EFYWFglV05UMznXMsKKoX5YN6oFPKyNEZeWjYmbwvD26jOIiE0TuzwiIgAih5slS5ZgzJgxGDt2LBo0aIClS5fC1dUVK1asKHb9pUuXYvr06WjRogXq1q2LhQsXom7duti5c2clV05Us3X0tsPeSe0xJageFAZSnLybgB7fHsV/d1xFQnq22OURUQ1nINYb5+Tk4MKFC5gxY4bG8uDgYJw8eVKrNvLz85GWlgYrK6sS18nOzkZ29r8/bFNTCyZCqlQqqFS6nS9Q2J6u29VH7CvtVdW+kgF4t70Heje2w5d7b2FfeBx+Ph2FPy49xvsda2NoKzcYGlTu309Vta+qKvaX9thX2quovipLexJBpIPljx8/hrOzM06cOIHAwED18oULF2L9+vWIiIh4aRv/+9//8MUXX+DGjRuws7Mrdp05c+Zg7ty5RZZv3LgRxsbG5f8ARKThTgqwPVKG6EwJAMBWKaC/ez4aWQqQSEQujoiqvczMTAwZMgQpKSkwNzcvdV3RRm4KSV74qScIQpFlxdm0aRPmzJmDP/74o8RgAwAzZ87ElClT1M9TU1Ph6uqK4ODgl3ZOWalUKoSGhiIoKAhyuVynbesb9pX2qlNfvZcvYHtYNJb8fQdP03PwfxEyBNa2wvRu9dDISbffb8WpTn1VFbC/tMe+0l5F9VXhkRdtiBZubGxsIJPJEBsbq7E8Li4O9vb2pW67ZcsWjBkzBlu3bkXXrl1LXVehUEChUBRZLpfLK2wHrci29Q37SnvVoa/kAIa09kSfZi5YfvguQo7dx8l7iei/4jT6NnXCtGBvuFlX/IhpdeirqoT9pT32lfZ03VdlaUu0CcWGhobw8/NDaGioxvLQ0FCNw1Qv2rRpE0aOHImNGzeiV69eFV0mEZWDmVKOj7vXx4GpHdC/mRMA4M/Lj9FlyWHM+fM6Jx0TUYUS9WypKVOmYPXq1VizZg1u3LiByZMnIyoqCuPHjwdQcEhp+PDh6vU3bdqE4cOHY/HixWjdujViY2MRGxuLlJQUsT4CEZXC1coYS9/yxa4P2qJ9PVuo8gSsOxmJDv87jO8P3OZdx4moQogabgYNGoSlS5di3rx5aNasGY4ePYo9e/bA3d0dABATE6NxzZsff/wRubm5eO+99+Do6Kh+fPjhh2J9BCLSgo+zBTaMbolfxrZCY2cLpGfnYnHoLbT/6hBCjt9HlipP7BKJSI+IPqF4woQJmDBhQrGvrVu3TuP54cOHK74gIqowberY4I/32mD31Rh8vT8CDxIyMX9XOFYdvYv3OtXBoBauUBjIxC6TiKo50W+/QEQ1i1QqQZ+mTvh7Sgd8MaAxnGsZ4UlqNj774zo6/e8wNp6JQk5uvthlElE1xnBDRKKQy6R4q6UbDk3riPn9feBgrsTjlCx88vtVdF58GJvPRiE7l4eriKjsGG6ISFSGBlIMa+2Owx91xOw+DWFjqsCjpGeYsf0qOnx1GGuO3+fEYyIqE4YbIqoSlHIZRrXxxLHpnfDfXg1gb65AbGoW5u0KR9svD2HZwdtIecZL3xPRyzHcEFGVYmQow9h2tXF0eicsfK0x3KyMkZiRg6/330LbLw7iq703Ec/r5BBRKRhuiKhKUhjIMKSVGw5O7YBv32qGevamSMvOxfLDd9Hmi4OY8+d1PErKFLtMIqqCGG6IqEozkEnRr5kz9n7YHquG+aGpiwWyc/PVFwN8b+NFXIxKErtMIqpCRL/ODRGRNqRSCYIbOSCooT1O3EnA8sN3cPJuAnZficHuKzFo7lYLIwPckCeIXSkRiY3hhoiqFYlEgrZ1bdC2rg3CH6dizYn7+ONSNC5GJeNiVDKsFDI8rRWJwa09YK7kDQ6JaiIeliKiaquhkzm+fqMpTszojImd68DSWI7EbAkW7b2FwEUHMW9nOKISOC+HqKZhuCGias/OTIkpwd44Oq09BtXOg5etCdKzc7HmxH10+PoQRqw5i9DwJ8jL5zEropqAh6WISG8o5TIE2guYNyIQpyKTseZEJI7eeooj/zycLJQY0soNb7ZwhZ2ZUuxyiaiCMNwQkd6RSiXo6G2Hjt52iIzPwMazUfj1/EM8TsnC1/tvYenft9HNxwFDW7mjdW0rSCQSsUsmIh1iuCEiveZhY4JPejbAlKB62HM1Bj+ffoCLUcnqs6zq2JliSEs39Pd1hpWJodjlEpEOMNwQUY2glMswoLkLBjR3wfXHKfj5dBT+uBSNO3HpmLcrHIv+uoGuDezxpr8r2tW1gYGMUxKJqiuGGyKqcRo5WWDRgMaY2bM+/giLxq/nH+FqdAr+uhaLv67Fws5Mgdf9XPCGnwtq25qKXS4RlRHDDRHVWOZKOYYFeGBYgAduxKRi6/lH+D3sEeLSsrHi8F2sOHwX/u6WeMPfBb2aOMFUwR+ZRNUBv1OJiAA0cDTHZ30aYkaP+jhw4wm2XniEwxFxOP8gCecfJGH2n9fRtYE9+jdzRvt6tjA04GEroqqK4YaI6DmGBlL0aOyIHo0d8SQ1C9svRmPr+Ye4F5+BXVdisOtKDGoZy9GzsSP6NXVCCw8rSKU824qoKmG4ISIqgb25Eu929ML4DrVxNToFO8IeY+eVx3ialo2NZ6Kw8UwUnCyU6NPMCf2bOaO+gxlPKyeqAhhuiIheQiKRoIlLLTRxqYVZvRrg9L0E7AiLxt5rsXickoUfj9zDj0fuoY6dKXo2dkTPxg7wtmfQIRILww0RURnIpBK0qWODNnVsML+/Dw7djMMflx7j4M043IlLx3cHbuO7A7dR28YEPRo7oIePIxo5mTPoEFUihhsionJSymXq+Tkpz1Q4ePMJ9lyNxZFbT3EvPgM/HLqLHw7dhZuVMXo0dkBPH0c0cbFg0CGqYAw3REQ6YGEkx2u+LnjN1wXp2bk4eDMOf12NwaGIOEQlZqoPXTlZKNGlgT26NrRH69pWUBjIxC6dSO8w3BAR6ZipwgB9mzqhb1MnZObk4nDEU+y5GoODN+PwOCULP51+gJ9OP4CJoQwdvG3Rpb49OtW34+0fiHSE4YaIqAIZGxr8M8nYEVmqPJy8G4+/b8Th7/AniEvLxp6rsdhzNRZSCeDvboWuDe3Qub49vGxNePiKqJwYboiIKolSLkPn+vboXN8eC/r54NrjFPwd/gShN+JwIyYVZyMTcTYyEQv33ISLpRE61LNFR287BHhZ8+rIRGXA7xYiIhFIpf+eXj4l2BuPkjJx8GYcQsOf4My9RDxKeoZfzkThlzNRkMsk8He3QgdvW3SoZ8vr6RC9BMMNEVEV4GJpjOEBHhge4IHMnFycupuAI7ee4nDEU0QlZuLUvQScupeAL/66CXtzBdrXtUWbOjYI8LKGvblS7PKJqhSGGyKiKsbY0ABdGtijSwN7AEBkfMY/QScOp+4l4ElqNrZeeIStFx4BAOrYmSLQyxqBXtZoXdsatYw5MZlqNoYbIqIqzsPGBB42JhgR6IEsVR7O3k/EiTvxOHk3Adcep+BOXDruxKVjw6kHkEiARk7mCPSyQaCXNVp4WMGE83WohuEeT0RUjSjlMrSvZ4v29WwBACmZqoJDVncLws7tuHRci07FtehUrDp6DwZSCZq51kJLTyu08LBCc3dLWBjJRf4URBWL4YaIqBqzMJaju48Duvs4AADiUrNw6l4CTt5JwMl78XiY+AznHyTh/IMkAHchkQDe9mYFQcfVHKnZ4tZPVBEYboiI9IiduRL9mjmjXzNnAMDDfyYjn7ufiPMPknA/PgM3Y9NwMzYNP50GAAOsuncULTys0OKf0Z06tqaQSnk2FlVfDDdERHrM1coYrlbGeNPfFQDwNC0b5yMTcS4yCeciE3A9OgXRyVmIvvQYOy49BgCYKQ3QzLUWmrnWQlOXWmjmVgs2pgoxPwZRmTDcEBHVILZmCvXNPlUqFbbv3AP7hq0Q9jAV5yITERaVjLSsXBy7HY9jt+PV27lYGqkDj69bLTRysoBSzvtiUdXEcENEVIMpZUAbL2t0rF8wZ0eVl4+I2DRcepisftyJS8ejpGd4lPQMu67EAAAMpBI0cDRHU1cLNHa2QCMnC9S1N+WNQKlKYLghIiI1uUwKH2cL+DhbYGhrdwBAapYKVx6m4NLDJHXgiU/PwdXoFFyNTnluWwnq2ZvBx8kCPs7maORsgQYO5jAyZOChysVwQ0REpTJXytG2rg3a1rUBAAiCgEdJz3DpYTKuRafg2uMUXItORcozFa4/TsX1x6nYcr5gW6mk4CKDPk4W/4QdM9R3NOcd0KlCMdwQEVGZSCQS9UTlPk2dAPwbeK7/E3QKAk8K4tNzcOtJOm49Scf2sGh1G7ZmCtR3MPvnYQ5vBzPUsTPlPB7SCYYbIiJ6Zc8Hnu4+jgAKAk9cWnbB6M4/gSciNg1RiZl4mpaNp2nZGpOWZVIJPG1M1KGnrn1B4HG3MoaBTCrWR6NqiOGGiIgqhEQigb25EvbmSvV9sgAgPTsXt56kISI2DTdjUtXX3Ul5plLfSqJw4jIAGMqk8LAxRh07U9SxNYWXnSnq2JnCy5YjPVQ8hhsiIqpUpgoDNHezRHM3S/UyQRDwJDUbN2JT1aHndlw67j5NR5YqX31o63kSScEp6nVsC8JO4cPD2gRWJoaQSHghwpqK4YaIiEQnkUjgYKGEg4USnbzt1Mvz8wVEJz/DnafpuPvPqM6duHTceZqO5EwVHiY+w8PEZzgU8VSjPTOlATysC2446mFt/M/Xxgw+NQTDDRERVVlS6b9zeZ4PPYIgICEjRx127j4t+Pfe0ww8TnmGtKzcIqeqFyou+LhbF7yHramCt57QAww3RERU7UgkEtiYKmBjqkDr2tYar2Wp8hCVmInI+AxEJmTgfnwmHiRkIDI+A49TskoNPoYGUrjUMoKLlTFcLY3gYmkMVysjOJoZIl1VEKqo6mO4ISIivaKUy1DP3gz17M2KvFYYfO7HZ/wTfgpCUFRiJmJSniEnNx/34jNwLz6jmJYNsPDKQXXgcbE0hlMtJRwtjNT/2pkpeGZXFcBwQ0RENUZpwUeVl4+Y5Cw8SsrEw6RMPEx89s/Xz/AwMRNxadnIyMlDxJM0RDxJK7Z9mVQCOzMFHC2UcKxlBCcLzfDjWEsJGxMe+qpoDDdEREQouPWEm7Ux3KyNi7ymUqnwx649aNyqA2LScvAo6RkeJmUiJjkLMSnP8Dg5C09Ss5CbLyAmJQsxKVlAVHIJ71MwebpwpMfeXAk7MwXszBWwN1PCzlwBO3MlzBQGnPhcTgw3REREWpBLgdq2JvB2qlXs63n5AuLTs/E4+RliUrLU/xaGn5iUZ4hLy4YqT1Cf5VUapVwKOzMl7M0VsDNTwva5IGRvXhCCrE0MUcvYEDKOBGlguCEiItIBmfTfixb6lrCOKi8fT1Kz1OHnaVo24tKyEZeahSep2YhLy0JcWjbSsnKRpcpHVGImohIzS31fqQSwMjGEtYkC1qaGsDYtCD02z31tbapQPzcxlOn9iBDDDRERUSWRy6RwsTSGi2XRQ1/Pe5aTpw46canZeJL6z9dpWYh7LgQlZ6qQLwDx6TmIT88Bnry8BoWBFDam/wShf4KPpbEctYwNYWls+O/XJnJYGhuilrEcCoPqdSVohhsiIqIqxshQBndrE7hbm5S6niovH0mZOUhI/+eRUXDProSMHCSkZyMhPQfx/3wdn56NLFU+snPzEZ38DNHJpR8We56xoUwddJ7/9/kgVMvYELWM5DCRS5CuetUeeDUMN0RERNWUXFYwL8fOTKnV+pk5uQWB55/gk5CRjfj0HCRn5iApU6X+NykzB8n/PM8XgMycPGTmaB+IjGUyvNnvVT7Zq2G4ISIiqiGMDQ1gbGUAV6vSD4sVys8XkJaVi6TMHHXgSdIIQs99naFCyrOCh1Ii7tANww0REREVSyqVwMJYDgtjOTxQ+iGyQiqVCrt276ngykrHyygSERGRTol9ZjrDDREREekV0cPN8uXL4enpCaVSCT8/Pxw7dqzU9Y8cOQI/Pz8olUrUrl0bK1eurKRKiYiIqDoQNdxs2bIFkyZNwqxZsxAWFoZ27dqhR48eiIqKKnb9+/fvo2fPnmjXrh3CwsLwySefYOLEifjtt98quXIiIiKqqkQNN0uWLMGYMWMwduxYNGjQAEuXLoWrqytWrFhR7PorV66Em5sbli5digYNGmDs2LEYPXo0vv7660qunIiIiKoq0c6WysnJwYULFzBjxgyN5cHBwTh58mSx25w6dQrBwcEay7p164aQkBCoVCrI5fIi22RnZyM7O1v9PDU1FUDBbG6VSrenqhW2p+t29RH7SnvsK+2xr8qG/aU99pX2KqqvytKeaOEmPj4eeXl5sLe311hub2+P2NjYYreJjY0tdv3c3FzEx8fD0dGxyDaLFi3C3Llziyzfv38/jI21O8+/rEJDQyukXX3EvtIe+0p77KuyYX9pj32lPV33VWZm6ffYep7o17l58eZdgiCUekOv4tYvbnmhmTNnYsqUKernqampcHV1RXBwMMzNzctbdrFUKhVCQ0MRFBRU7CgS/Yt9pT32lfbYV2XD/tIe+0p7FdVXhUdetCFauLGxsYFMJisyShMXF1dkdKaQg4NDsesbGBjA2tq62G0UCgUUCkWR5XK5vMJ20IpsW9+wr7THvtIe+6ps2F/aY19pT9d9VZa2RJtQbGhoCD8/vyLDVqGhoQgMDCx2m4CAgCLr79+/H/7+/tzZiIiICIDIZ0tNmTIFq1evxpo1a3Djxg1MnjwZUVFRGD9+PICCQ0rDhw9Xrz9+/Hg8ePAAU6ZMwY0bN7BmzRqEhIRg2rRpYn0EIiIiqmJEnXMzaNAgJCQkYN68eYiJiYGPjw/27NkDd3d3AEBMTIzGNW88PT2xZ88eTJ48GT/88AOcnJzw3Xff4fXXXxfrIxAREVEVI/qE4gkTJmDChAnFvrZu3boiyzp06ICLFy9WcFVERERUXYl++wUiIiIiXRJ95KayFZ46XpZTyrSlUqmQmZmJ1NRUTnB+CfaV9thX2mNflQ37S3vsK+1VVF8V/t4u/D1emhoXbtLS0gAArq6uIldCREREZZWWlgYLC4tS15EI2kQgPZKfn4/Hjx/DzMys1IsFlkfhBQIfPnyo8wsE6hv2lfbYV9pjX5UN+0t77CvtVVRfCYKAtLQ0ODk5QSotfVZNjRu5kUqlcHFxqdD3MDc3586vJfaV9thX2mNflQ37S3vsK+1VRF+9bMSmECcUExERkV5huCEiIiK9wnCjQwqFArNnzy72XlakiX2lPfaV9thXZcP+0h77SntVoa9q3IRiIiIi0m8cuSEiIiK9wnBDREREeoXhhoiIiPQKww0RERHpFYYbHVm+fDk8PT2hVCrh5+eHY8eOiV1SlTRnzhxIJBKNh4ODg9hlVQlHjx5Fnz594OTkBIlEgh07dmi8LggC5syZAycnJxgZGaFjx464fv26OMWK7GV9NXLkyCL7WevWrcUpVmSLFi1CixYtYGZmBjs7O/Tv3x8REREa63DfKqBNX3HfKrBixQo0adJEfaG+gIAA/PXXX+rXxd6nGG50YMuWLZg0aRJmzZqFsLAwtGvXDj169EBUVJTYpVVJjRo1QkxMjPpx9epVsUuqEjIyMtC0aVMsW7as2Ne/+uorLFmyBMuWLcO5c+fg4OCAoKAg9f3SapKX9RUAdO/eXWM/27NnTyVWWHUcOXIE7733Hk6fPo3Q0FDk5uYiODgYGRkZ6nW4bxXQpq8A7lsA4OLigi+++ALnz5/H+fPn0blzZ/Tr108dYETfpwR6ZS1bthTGjx+vsax+/frCjBkzRKqo6po9e7bQtGlTscuo8gAIv//+u/p5fn6+4ODgIHzxxRfqZVlZWYKFhYWwcuVKESqsOl7sK0EQhBEjRgj9+vUTpZ6qLi4uTgAgHDlyRBAE7lulebGvBIH7VmksLS2F1atXV4l9iiM3rygnJwcXLlxAcHCwxvLg4GCcPHlSpKqqttu3b8PJyQmenp546623cO/ePbFLqvLu37+P2NhYjf1MoVCgQ4cO3M9KcPjwYdjZ2aFevXp45513EBcXJ3ZJVUJKSgoAwMrKCgD3rdK82FeFuG9pysvLw+bNm5GRkYGAgIAqsU8x3Lyi+Ph45OXlwd7eXmO5vb09YmNjRaqq6mrVqhU2bNiAffv24f/+7/8QGxuLwMBAJCQkiF1alVa4L3E/006PHj3wyy+/4ODBg1i8eDHOnTuHzp07Izs7W+zSRCUIAqZMmYK2bdvCx8cHAPetkhTXVwD3reddvXoVpqamUCgUGD9+PH7//Xc0bNiwSuxTNe6u4BVFIpFoPBcEocgyKvjBUKhx48YICAiAl5cX1q9fjylTpohYWfXA/Uw7gwYNUn/t4+MDf39/uLu7Y/fu3RgwYICIlYnr/fffx5UrV3D8+PEir3Hf0lRSX3Hf+pe3tzcuXbqE5ORk/PbbbxgxYgSOHDmifl3MfYojN6/IxsYGMpmsSBqNi4srklqpKBMTEzRu3Bi3b98Wu5QqrfCMMu5n5ePo6Ah3d/cavZ998MEH+PPPP3Ho0CG4uLiol3PfKqqkvipOTd63DA0NUadOHfj7+2PRokVo2rQpvv322yqxTzHcvCJDQ0P4+fkhNDRUY3loaCgCAwNFqqr6yM7Oxo0bN+Do6Ch2KVWap6cnHBwcNPaznJwcHDlyhPuZFhISEvDw4cMauZ8JgoD3338f27dvx8GDB+Hp6anxOvetf72sr4pTk/etFwmCgOzs7KqxT1XKtGU9t3nzZkEulwshISFCeHi4MGnSJMHExESIjIwUu7QqZ+rUqcLhw4eFe/fuCadPnxZ69+4tmJmZsa8EQUhLSxPCwsKEsLAwAYCwZMkSISwsTHjw4IEgCILwxRdfCBYWFsL27duFq1evCoMHDxYcHR2F1NRUkSuvfKX1VVpamjB16lTh5MmTwv3794VDhw4JAQEBgrOzc43sq3fffVewsLAQDh8+LMTExKgfmZmZ6nW4bxV4WV9x3/rXzJkzhaNHjwr3798Xrly5InzyySeCVCoV9u/fLwiC+PsUw42O/PDDD4K7u7tgaGgoNG/eXOPUQfrXoEGDBEdHR0EulwtOTk7CgAEDhOvXr4tdVpVw6NAhAUCRx4gRIwRBKDhld/bs2YKDg4OgUCiE9u3bC1evXhW3aJGU1leZmZlCcHCwYGtrK8jlcsHNzU0YMWKEEBUVJXbZoiiunwAIa9euVa/DfavAy/qK+9a/Ro8erf6dZ2trK3Tp0kUdbARB/H1KIgiCUDljREREREQVj3NuiIiISK8w3BAREZFeYbghIiIivcJwQ0RERHqF4YaIiIj0CsMNERER6RWGGyIiItIrDDdERESkVxhuiOiVHT58GBKJBMnJyaWu5+HhgaVLl1ZIDR07dsSkSZNeuZ2DBw+ifv36yM/PBwDMmTMHzZo1e+V2X9SiRQts375d5+0SEcMNEWnp5MmTkMlk6N69+0vXXbduHWrVqlVk+blz5/Cf//xH/VwikWDHjh06rPLVTZ8+HbNmzYJUWrE/Hj/99FPMmDFDHaKISHcYbohIK2vWrMEHH3yA48ePIyoqqlxt2NrawtjYWMeV6c7Jkydx+/ZtvPHGGxX+Xr169UJKSgr27dtX4e9FVNMw3BDRS2VkZODXX3/Fu+++i969e2PdunUlrnv48GGMGjUKKSkpkEgkkEgkmDNnDgDNw1IeHh4AgNdeew0SiUT9fOTIkejfv79Gm5MmTULHjh016hk+fDhMTU3h6OiIxYsXF6kjJycH06dPh7OzM0xMTNCqVSscPny41M+5efNmBAcHQ6lUlrjO/fv3UadOHbz77rvIz89Xj1Lt2rUL3t7eMDY2xsCBA5GRkYH169fDw8MDlpaW+OCDD5CXl6duRyaToWfPnti0aVOpNRFR2THcENFLbdmyBd7e3vD29sbQoUOxdu1alHTP3cDAQCxduhTm5uaIiYlBTEwMpk2bVmS9c+fOAQDWrl2LmJgY9XNtfPTRRzh06BB+//137N+/H4cPH8aFCxc01hk1ahROnDiBzZs348qVK3jjjTfQvXt33L59u8R2jx49Cn9//xJfv3btGtq0aYM33ngDK1asUB+6yszMxHfffYfNmzdj7969OHz4MAYMGIA9e/Zgz549+Omnn7Bq1Sps27ZNo72WLVvi2LFjWn9uItKOgdgFEFHVFxISgqFDhwIAunfvjvT0dBw4cABdu3Ytsq6hoSEsLCwgkUjg4OBQYpu2trYAgFq1apW63ovS09MREhKCDRs2ICgoCACwfv16uLi4qNe5e/cuNm3ahEePHsHJyQkAMG3aNOzduxdr167FwoULi207MjJSvf6LTp06hd69e2PmzJlFwppKpcKKFSvg5eUFABg4cCB++uknPHnyBKampmjYsCE6deqEQ4cOYdCgQertnJ2dERUVhfz8/Aqf40NUkzDcEFGpIiIicPbsWfWZPQYGBhg0aBDWrFlTbLipaHfv3kVOTg4CAgLUy6ysrODt7a1+fvHiRQiCgHr16mlsm52dDWtr6xLbfvbsWbGHpKKiotC1a1csWLAAkydPLvK6sbGxOtgAgL29PTw8PGBqaqqxLC4uTmM7IyMj5OfnIzs7G0ZGRqV8aiIqC4YbIipVSEgIcnNz4ezsrF4mCALkcjmSkpJgaWmp0/eTSqVFDnmpVCqN936Z/Px8yGQyXLhwATKZTOO15wPHi2xsbJCUlFRkua2tLZycnLB582aMGTMG5ubmGq/L5XKN5xKJpNhlL54ZlZiYCGNjYwYbIh3jOCgRlSg3NxcbNmzA4sWLcenSJfXj8uXLcHd3xy+//FLsdoaGhhqTZ0sil8uLrGdra4uYmBiNZZcuXVJ/XadOHcjlcpw+fVq9LCkpCbdu3VI/9/X1RV5eHuLi4lCnTh2NR2mHwHx9fREeHl5kuZGREXbt2gWlUolu3bohLS3tpZ9NG9euXUPz5s110hYR/YvhhohKtGvXLiQlJWHMmDHw8fHReAwcOBAhISHFbufh4aGelxMfH4/MzMwS1ztw4ABiY2PVIyadO3fG+fPnsWHDBty+fRuzZ8/GtWvX1NuYmppizJgx+Oijj3DgwAFcu3YNI0eO1JizUq9ePbz99tsYPnw4tm/fjvv37+PcuXP48ssvsWfPnhI/b7du3XD8+PFiXzMxMcHu3bthYGCAHj16ID09/aX99zLHjh1DcHDwK7dDRJoYboioRCEhIejatSssLCyKvPb666/j0qVLuHjxYpHXAgMDMX78eAwaNAi2trb46quvim1/8eLFCA0NhaurK3x9fQEUBIxPP/0U06dPR4sWLZCWlobhw4drbPe///0P7du3R9++fdG1a1e0bdsWfn5+GuusXbsWw4cPx9SpU+Ht7Y2+ffvizJkzcHV1LfHzDh06FOHh4YiIiCj2dVNTU/z1118QBAE9e/ZERkZGiW29THR0NE6ePIlRo0aVuw0iKp5E0OYANhFRDTF9+nSkpKTgxx9/rND3+eijj5CSkoJVq1ZV6PsQ1UQcuSEies6sWbPg7u6u1ZyhV2FnZ4f58+dX6HsQ1VQcuSEiIiK9wpEbIiIi0isMN0RERKRXGG6IiIhIrzDcEBERkV5huCEiIiK9wnBDREREeoXhhoiIiPQKww0RERHpFYYbIiIi0iv/D9FtyZvjl0QsAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "h = np.linspace(0, 30, 200)  # altitude em km\n",
    "I = np.exp(-h / 8)           # atenuação exponencial\n",
    "plt.plot(h, I)\n",
    "plt.xlabel('Altitude (km)')\n",
    "plt.ylabel('Intensidade (rel.)')\n",
    "plt.title('Intensidade de Raios Cósmicos vs Altitude')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "634e5a2f-41b0-4c1e-98ed-e5879e4fae49",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Definição da faixa de energia (10^9 a 10^20 eV)\n",
    "E = np.logspace(9, 20, 500)  # energia em eV\n",
    "gamma = -2.7\n",
    "k = 1e20  # constante de normalização arbitrária\n",
    "\n",
    "# Espectro de energia com lei de potência\n",
    "phi = k * E**gamma\n",
    "\n",
    "# Gráfico log-log\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.loglog(E, phi, label=r'$\\Phi(E) = k \\cdot E^{-2.7}$', color='blue')\n",
    "plt.xlabel('Energia (eV)')\n",
    "plt.ylabel(r'Fluxo $\\Phi(E)$ (unidades arbitrárias)')\n",
    "plt.title('Espectro de Energia com Lei de Potência ($gamma = -2.7$)')\n",
    "plt.grid(True, which='both', linestyle='--', linewidth=0.5)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "82f3df17-0740-402a-a711-419736b31a09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dunSBEAJPnjzJtV9r1qyZ53Fy4+rqigkTJqBr164YOHBgnvVyVvS82v87duxQe1ylShW4urpi/fr1aitfkpKSsHXrVtUKKm0pFAq0bNkS3333HQDg0qVLWrf1svy+Z3Kzfv16pKSkYNasWbn+3jg4OKglA6+OGulKznvs1ffg1q1bkZSUlOt7UCaToVGjRvjtt98AABcvXnztMbp06YJ79+7B3t4+1/dfzvvkdfL7O0XFF0duqEjZs2cPnj59iu+++y7Xq9N6e3tj0aJF8Pf3R5cuXVRXLl62bBksLS1hYmICT09P2Nvb49dff8XAgQMRHR2NXr16wdHREc+fP8eVK1fw/PlzLFmypECx5cwzWbFiBSpUqIBatWrh7NmzWL9+vUbdLl26YNWqVahatSp8fHxw4cIF/PDDDxojKmPGjMGmTZvQvXt3TJ48GQ0bNkRKSgqOHj2KLl26oFWrVujcuTMWLFiAvn37YtiwYYiKisKPP/6o8UFYpUoVDBs2DL/++iukUik6duyIBw8e4JtvvoG7u/sbL4A2a9YsdOjQAe3atcP48eORlZWF7777Dubm5mqn8Jo2bYphw4Zh8ODBOH/+PFq0aAFzc3OEhYXhxIkTqFmzJj777LMC9e38+fPfWMfZ2Rlt27bFvHnzYGtrCw8PDxw8eBDbtm1TqyeVSvH999+jX79+6NKlCz799FOkpaXhhx9+QGxsbL6O9apvv/0Wjx8/Rps2beDm5obY2Fj8/PPPkMvlaNmyZYHby01+3zO58ff3h62tLb788stcr9Y8YMAALFiwAFeuXEGtWrVQs2ZNbNy4EZs2bYKXlxdMTEwKnJTmpl27dmjfvj0mTZqE+Ph4NG3aFFevXsW0adNQp04d9O/fHwCwdOlSHDp0CJ07d0a5cuWQmpqqSr7eNP9szJgx2Lp1K1q0aIGxY8fCx8cHSqUSoaGh2L9/P8aPH49GjRq9to38/k5RMWa4ucxEmnr06CGMjY1Vy7lz8+GHHwojIyPVkuOFCxcKT09PIZPJNFYzHT16VHTu3FnY2dkJuVwuXF1dRefOncXmzZtVdXJWlLy6VDpnVU9ISIiqLC4uTnzyySfCyclJmJubi65du4oHDx5orJaKiYkRQ4YMEY6OjsLMzEw0a9ZMHD9+XLRs2VJjlUpMTIwYPXq0asm1kZGR6Ny5s9ry3xUrVogqVaoIhUIhvLy8xLx584S/v79GfFlZWeK7774TlStXFnK5XDg4OIiPPvpIPHr0KB+9L8SOHTuEj4+PMDY2FuXKlRPz589X9c+rVqxYIRo1aiTMzc2FqampqFChghgwYIA4f/78a4/x8mqp18ltRU9YWJjo1auXsLOzE9bW1uKjjz4S58+fz3UV2/bt20WjRo2EiYmJMDc3F23atBEnT55Uq5Pf137Xrl2iY8eOwtXVVRgbGwtHR0fRqVMntWXleQEgPv/8c41yDw8PMXDgQNXjgrxnXnblyhUBQIwZMybPOjdv3hQAVMu2Hzx4IPz8/ISlpaVq6bcQ/62Wevn34+X+ePU1y63/UlJSxKRJk4SHh4eQy+WibNmy4rPPPhMxMTGqOoGBgeLdd98VHh4eQqFQCHt7e9GyZUuxY8cOjT56dbWUEEIkJiaKr7/+WlSpUkUYGxsLa2trUbNmTTF27Fi1SxHk1fdC5P93iooniRC8YhFRUXHkyBHMnj0bBw4cMHQoRETFFk9LERUBT58+RVBQEJ4+fYqDBw8iNjb2jZNIiYgod0xuiIqAsLAwfPjhh0hOTka/fv2Y2BARvQWeliIiIqIShUvBiYiIqERhckNEREQlCpMbIiIiKlFK5YRipVKJp0+fwtLSMtdLcxMREVHRI4RAQkICXFxc1G6M+6pSmdw8ffoU7u7uhg6DiIiItPDo0aPXXr27VCY3lpaWALI7x8rKSmftZmRkYP/+/fDz84NcLtdZu5SN/atf7F/9Yd/qF/tXf4pa38bHx8Pd3V31OZ6XUpnc5JyKsrKy0nlyY2ZmBisrqyLxJihp2L/6xf7VH/atfrF/9aeo9u2bppRwQjERERGVKExuiIiIqERhckNEREQlSqmcc0NEVFQIIZCZmYmsrCxDh1JsZWRkwMjICKmpqexHHSvsvpXJZDAyMnrry7QwuSEiMpD09HSEhYUhOTnZ0KEUa0IIODs749GjR7x2mY4Zom/NzMxQtmxZGBsba90GkxsiIgNQKpUICQmBTCaDi4sLjI2N+cGsJaVSicTERFhYWLz2wm5UcIXZt0IIpKen4/nz5wgJCUGlSpW0PiaTGyIiA0hPT4dSqYS7uzvMzMwMHU6xplQqkZ6eDhMTEyY3OlbYfWtqagq5XI6HDx+qjqsNvguIiAyIH8ZE6nTxO8HfKiIiIipRmNwQERFRiWLw5ObYsWPo2rUrXFxcIJFIsH379jfuc/ToUdSrVw8mJibw8vLC0qVL9R8oEREVWP/+/TF37twC7bNr1y7UqVMHSqVST1GVbv7+/vDz89N5uw8ePIBUKkWVKlVw+fJlje0REREoU6YMnjx5ovNjv8rgyU1SUhJq1aqFRYsW5at+SEgIOnXqhObNm+PSpUv46quv8MUXX2Dr1q16jpSIiAYNGgSJRIL58+erlW/fvl1jtdfVq1fx77//YtSoUQCAxMREVKhQAePGjVOr9+DBA1hZWWH58uUAgC5dukAikWD9+vV6fCbAqlWrIJFI0KFDB7Xy2NhYSCQSHDlyRFUWExOD/v37w9raGtbW1ujfvz9iY2PzdZx33nlHd0G/pbS0NHz77bf45ptv8qwzceJElC9fHgkJCWrlXbt2RYsWLTSSTk9PT+zduxfu7u64e/cuXF1dMXHiRI12HR0d0b9/f0ybNk03T+Y1DL5aqmPHjujYsWO+6y9duhTlypXDwoULAQDVqlXD+fPn8eOPP6Jnz5657pOWloa0tDTV4/j4eADZFyfKyMjQPvhXbL3wCJvvSGESHI7W1Zx11i5ly3mtdPma0X/Yv/qTW99mZGRACAGlUlmsRiiEEDAxMcF3332HoUOHwtbWFgBUz+Hl5/Lrr7+iV69eMDc3h1KphJmZGfz9/dGuXTt0794dzZs3hxACgwcPRpMmTfDxxx+r9h80aBB+/fVX9O3bN18x5XwvSF8qlUoYGRnh4MGDOHjwIFq1aqXxXHJ+7tOnD548eYLdu3cDAIYPH46PPvoIO3bsyLXtXbt2wcXFBXXr1lW1tXHjRtStWxeVK1fOd4y6tnnzZlhYWKBp06Z59tWMGTOwe/dujB07Fr///jsAYMWKFTh8+DAuXboE4L8+unr1KqKiotCyZUtIJBKUL18e06ZNQ+vWrfHkyROULVtWre2BAweicePG+O6771TvnVcplUoIIZCRkQGZTKa2Lb9/nwye3BRUYGCgxnBa+/bt4e/vj4yMjFzvWjpv3jzMmDFDo3z//v06XYK5474UFyKl2Hr0MlJDis8fq+ImICDA0CGUaOxf/Xm5b42MjODs7IzExESkp6cDyP5wTs0o/L8dJnJpvq+xk5GRgZYtWyIkJAQzZszAzJkzAQApKSkA/vvnUalUYvPmzfj9999VZQBQu3ZtDBs2DIMHD8bx48exZs0aXLp0CadOnVKr984772D06NG4evUqypcvn6/YXh1peJPU1FSYmZnh3XffxaRJk3DgwAG1dpKTkxEfH49bt25h3759CAgIQI0aNQAACxYsgJ+fHy5cuIBKlSpptO3o6IhJkyahfv36iIqKQs+ePWFra4smTZqoPc+X7dmzB9999x1u3rwJZ2dn9OnTB+PHj4eRkRG+//57rFy5EidPnoSdnR2A7IQrLi4Ou3btglQqha2tLX788Ufs2bMHJ0+ehKOjI2bMmIEePXqojrFu3Tr4+fnlGUOORYsWwc/PDx06dECVKlUwbtw4TJ8+HWXKlFHbd/PmzWjdurXaIELFihUhkUiwatUqfP7552rtenh4wNHRERs2bMBHH32U67HT09ORkpKCY8eOITMzU21bfi94WeySm/DwcDg5OamVOTk5ITMzE5GRkRpZIgBMmTJFbRg0Pj4e7u7u8PPzg5WVle5iO3Efp/bdhdLSEZ061dVZu5QtIyMDAQEBaNeuXa5JLL0d9q/+5Na3qampePToESwsLFTX8khOz0Sd7wo/ubw+vR3MjPP3cSCXy6FQKDB37lx89NFH+PLLL+Hm5gZTU1MAUP1NvXz5MuLi4tCiRQuNv7M//PADDh06hM8//xz79+/H0qVLUbVqVbU63t7ecHR0xKVLl+Dj45NrLOvWrcNnn3322niXLFmCfv365brNxMQEEokEs2fPRuXKlbF//3706tVLNSphZmYGKysrXLt2DdbW1mjdurVq3zZt2sDa2hpXr15FvXr1NNpu2LAhAgIC0K9fP1y/fh0jR47E0KFD84xz3759GD58OBYuXIjmzZvj3r17GD58OBQKBb799lvMmDEDR44cwbhx47Bt2zYsXboUgYGBuHTpEmxsbFTtzJs3D3PnzsWiRYuwdu1afPLJJ2jQoAGqVasGADh9+jQGDBjwxs++Fi1aYPLkyRgzZgw8PDzQoEEDjB07ViMJ3r9/P0aNGqXW3rp165CVlYWtW7diypQpGm03atQI58+fx4gRI3I9dmpqKkxNTdGiRQuN69y8KSnLUeySGwAanZszJJnXfx4KhQIKhUKjXC6X6/SPeGVnawDA/cgUfjjoka5fN1LH/tWfl/s2KysLEokEUqlUdV0PQ13z5uUY3kQikUAikaBnz5748ccfMWPGDPj7+2s8h9DQUMhkMjg7O2v8bTYzM8PChQvRoUMHdOzYEQMGDMj1WK6urggNDc0zth49esDX1/e1V9F1cnLKc/+ccjc3N4wePRrffPMN3nvvPbXnIpVKERERAUdHR412HB0dERERkWv7t27dwpgxY9CgQQPUqlULBw8exJUrVzBnzpxcT8fMmzcPkydPxuDBgwFkj37MmjULEydOxPTp0yGVSrF27VrUrl0bX331FX799VcsW7YMnp6eau28//77GDZsGABg9uzZOHDgAH777TcsXrwYsbGxiI2NhZubW75e72+++QarVq3ChQsXcPPmTY1TRE+ePMGVK1fQpUsXVXtCCCxatAjdu3fHP//8g5s3b6J69epq+7m5ueHSpUuvfV0kEkmuf4vy+7ep2CU3zs7OCA8PVyuLiIiAkZER7O3tDRRVtoqO5gCAh9HJSM9UwtjI4PO1iagYMZXLEDSzvUGOq43vvvsOrVu3xvjx4zW2paSkQKFQ5PlPp7+/P8zMzHDt2jXExcXB2tpaMy5T09eehrC0tISlpSWUSiXi4+NhZWWldYI4adIk/P7771ixYgU++OADje25PQ8hRJ7P7/bt25gzZw7q1q2LY8eO4a+//sKGDRvw/PnzXJObCxcu4Ny5c5gzZ46qLCsrC6mpqUhOToaZmRm8vLzw448/4tNPP0Xv3r1zHZHy9fXVeJyzcinn1OHLoyHHjx9Xm/f6+++/q9oNCAhAWFgYpFIpzp07p3F6cMeOHWjatKnqNBkA7N27F/fv38fhw4cREhKCtWvXaqyWe9PrqgvFLrnx9fXFzp071cr279+P+vXrG/y/TSdLBUxkAqlZwIOoJFR2sjRoPERUvEgkknyfHioKWrRogfbt2+Orr77CoEGD1LY5ODggOTkZ6enpGjdA3LRpE3bs2IHAwED0798fY8eOxYoVKzTaj46ORpkyZfI8/rp16/Dpp5++NsaXP6xfx8bGBlOmTMGMGTPQpUsXtW3Ozs549uyZxj7Pnz/XmCaRo2vXrhplffr0yfP4SqUSM2bMwHvvvaex7eVk5NixY5DJZHjw4AEyMzNhZPTm90tOAmZvbw+JRIKYmBjVtvr166st2855PjExMRg6dCimTJkCpVKJkSNHolWrVnBwcFDV3bFjB7p37652rIULF6JPnz5wdnZG//79sWjRIsyZM0ctCXzT66oLBh9aSExMxOXLl1WdGxISgsuXLyM0NBRA9nyZl4cshw8fjocPH2LcuHEIDg7GihUr4O/vjy+//NIQ4auRSCRwyj7tjDvPEg0bDBFRIZg/fz527tyJU6dOqZXXrl0bABAUFKRW/uzZM3z++eeYPXs26tSpg1WrVuHPP//Enj171Oqlpqbi3r17qFOnTp7H7tatGy5fvoyLFy/i2LFjuHjxourzJOerW7du+X4uo0aNglQqxc8//6xW7uvri7i4OJw9e1ZVdubMGcTFxaFJkyZvbPflJeV5qVu3Lm7duoWKFStqfOWMRm3atAnbtm3DkSNH8OjRI8yaNUujndOnT2s8zpnPZGxsjOrVq6u9JqampmrHsrS0VPWFo6Mjpk6dijFjxsDd3R0jR45U7ZeYmIjDhw+r9W9wcDACAgJUc1z79u2LR48e4fjx42oxXb9+/bWvq04IAzt8+LAAoPE1cOBAIYQQAwcOFC1btlTb58iRI6JOnTrC2NhYlC9fXixZsqRAx4yLixMARFxcnI6eRbb09HTxwY87hMekXWJhwG2dtk3Z/bt9+3aRnp5u6FBKJPav/uTWtykpKSIoKEikpKQYMLKCGzhwoOjevbtaWf/+/YWJiYl49SOlbt264tdff1Ur6969u2jSpInIyspSlX311VfCzc1NxMbGqsoOHz4sLCwsRFJS0htjysrKEjExMWpt5sfKlSuFtbW1Wpm/v7/quRw+fFhV3qFDB+Hj4yMCAwNFYGCgqFmzpujSpUuBjvc6e/fuFUZGRmLatGni+vXrIigoSGzcuFFMnTpVCCHEo0ePhK2trfjll1+EEELs379fyOVyERgYqGoDgHBwcBD+/v7i1q1b4ttvvxVSqVTcuHFDVWfcuHGiZ8+er41l27ZtwtjYWFy5ckXVt1euXBHGxsZiy5YtQgghNm/eLLy9vdX2GzZsmGjbtq1aWdu2bcXQoUNVj5OSkoSpqak4duxYnsd/3e9Gfj+/DZ7cGII+k5svFv8jPCbtEp+vu6DTtokfvvrG/tWfkp7cPHjwQCgUCo3kZunSpaJx48aqx6tXrxZmZmbi9m31f/7S0tKEt7e3GDx4sKps2LBh4tNPP81XTLpMbjIzM0X16tU1kpuoqCjRr18/YWlpKSwtLUW/fv1ETExMgY73Jnv37hVNmjQRpqamwsrKSjRs2FAsW7ZMKJVK0aZNG9G+fXuhVCpV9ceOHSsqVKggEhIShBDZyc1vv/0m2rVrJxQKhfDw8BAbNmxQO0ZwcLAwNTVVSyRf9vz5c+Ho6CjmzJkjhFDv2zlz5ghHR0fx/Plz8dFHH6kSr5z+MTMzE7t371Zrb/Xq1cLW1lakpqYKIYRYv369qFKlymv7gcmNlvSZ3MxZmZ3ctP/fUZ22Tfzw1Tf2r/6UpOSmIFJSUkS5cuXEqVOnCrRfRESEsLOzE/fv389XfW2Tm5IGgPj777/fWO/9998Xc+fOzVebufVtZmamsLOzE2fOnClwjA0aNBDr1q17bR1dJDcGn3NT0jibZi9Lv/88CZlZvJAfEZVeJiYmWLNmDSIjIwu0X0hICBYvXqyxzJl044cffoCFhYXW+0dFRWHs2LFo0KBBgfaLiIhAr169XjuxWleKz7T8YsJWkX21z9QMJUKjk+FVRvs3EBFRcdeyZcsC79OwYUM0bNhQD9EQkH2V4Jz7fWnD0dERX3/9tVb75XbPKX1gcqNjUglQoYw5bjxNwN2IRCY3RERUKMSLC9pSEVgKXhJVfJHQ3IngcnAiIqLCxuRGDyqUyb5S8V0mN0T0Bvxvm0idLn4nmNzowX8jNwW7Qy0RlR45V1TX92XoiYqbnN+Jt7nrAOfc6EHOPabuRSRBqRSQSnO/9wgRlV4ymQw2NjaIiIgAkH0zybzuU0Svp1QqkZ6ejtTUVIPdfLSkKsy+FUIgOTkZERERsLGx0bhRZ0EwudEDd1tTGMukSMnIwpPYFLjbmRk6JCIqgpydnQFAleCQdoQQSElJgampKRNEHTNE39rY2Kh+N7TF5EYPjGRSeDqY49az7BVTTG6IKDcSiQRly5aFo6MjMjIyDB1OsZWRkYFjx46hRYsWBr+BcklT2H0rl8vfasQmB5MbPanoZIFbzxJwJyIBrao6GjocIirCZDKZTv6gl1YymQyZmZkwMTFhcqNjxbVveXJSTyo5vphUzLuDExERFSomN3pSyTH7tvF3nzO5ISIiKkxMbvSk4ouRm7vPEnkdCyIiokLE5EZPyjuYQSaVICEtE8/i0wwdDhERUanB5EZPFEYyeNhnr5LixfyIiIgKD5MbPcqZVMzbMBARERUeJjd6lDPvhjfQJCIiKjxMbvRItWKKy8GJiIgKDZMbPcoZubkdkcAVU0RERIWEyY0eVShjAYkEiE3OwPNErpgiIiIqDExu9MjUWAZP++w7hN8K54opIiKiwsDkRs+qOGfPu2FyQ0REVDiY3OhZVWcrAEBwGJMbIiKiwsDkRs9UIzfP4g0cCRERUenA5EbPqpXNTm5uP0tEZpbSwNEQERGVfExu9Mzd1gxmxjKkZyrxICrJ0OEQERGVeExu9EwqlaCyU/bozU1OKiYiItI7JjeFoOqLeTc3OamYiIhI75jcFAJVcsORGyIiIr1jclMIqpbNXg5+M5wrpoiIiPSNyU0hyBm5eRyTgoTUDANHQ0REVLIxuSkENmbGcLYyAQDcfsZTU0RERPrE5KaQVOG8GyIiokLB5KaQVC3LFVNERESFgclNIanKG2gSEREVCiY3hUR1A83weAghDBwNERFRycXkppBUKGMBI6kECamZCItLNXQ4REREJRaTm0JibCRFhTIWAHi9GyIiIn1iclOIuGKKiIhI/5jcFCKumCIiItI/JjeFiCumiIiI9I/JTSHKWTF173ki0jOVBo6GiIioZGJyU4jKWpvA0sQImUqBe88TDR0OERFRicTkphBJJBJUc+YdwomIiPSJyU0h46RiIiIi/WJyU8iql80eubnxlCM3RERE+sDkppDVcLEGAFx/GsfbMBAREekBk5tCVtk5+zYMsckZeMrbMBAREekck5tCpjCSobJT9ryb60/iDBwNERFRycPkxgBquHDeDRERkb4wuTEAb9fseTc3OHJDRESkc1olN3v37sWJEydUj3/77TfUrl0bffv2RUxMjM6CK6m8XbNHbq4/ZXJDRESka1olNxMmTEB8fPYplWvXrmH8+PHo1KkT7t+/j3Hjxuk0wJKoqrMVJBLgWXwaniekGTocIiKiEkWr5CYkJATVq1cHAGzduhVdunTB3LlzsXjxYuzZs0enAZZE5gojeDmYAwBucPSGiIhIp7RKboyNjZGcnAwAOHDgAPz8/AAAdnZ2qhEder2c691wUjEREZFuaZXcNGvWDOPGjcOsWbNw9uxZdO7cGQBw+/ZtuLm5Fbi9xYsXw9PTEyYmJqhXrx6OHz/+2vrr1q1DrVq1YGZmhrJly2Lw4MGIiorS5qkYTM68G47cEBER6ZZWyc2iRYtgZGSELVu2YMmSJXB1dQUA7NmzBx06dChQW5s2bcKYMWMwdepUXLp0Cc2bN0fHjh0RGhqaa/0TJ05gwIABGDJkCG7cuIHNmzfj3Llz+OSTT7R5KgbjnXOl4iccuSEiItIlI212KleuHHbt2qVR/r///a/AbS1YsABDhgxRJScLFy7Evn37sGTJEsybN0+j/unTp1G+fHl88cUXAABPT098+umn+P777wt8bEOq/uJaN6HRyYhLyYC1qdzAEREREZUMWiU3AHDv3j2sXLkS9+7dw88//wxHR0fs3bsX7u7uqFGjRr7aSE9Px4ULFzB58mS1cj8/P5w6dSrXfZo0aYKpU6di9+7d6NixIyIiIrBlyxbVqbHcpKWlIS3tv1VJOfOCMjIykJGRka9Y8yOnrfy0aS6XwM3GBI9jU3HtUTQaedrpLI6SqiD9SwXH/tUf9q1+sX/1p6j1bX7jkAgt7t549OhRdOzYEU2bNsWxY8cQHBwMLy8vfP/99zh79iy2bNmSr3aePn0KV1dXnDx5Ek2aNFGVz507F6tXr8atW7dy3W/Lli0YPHgwUlNTkZmZiW7dumHLli2Qy3Mf/Zg+fTpmzJihUb5+/XqYmZnlK1Z98L8lxdVoKXp4ZKGVC2+iSURE9DrJycno27cv4uLiYGVllWc9rUZuJk+ejNmzZ2PcuHGwtLRUlbdq1Qo///xzgduTSCRqj4UQGmU5goKC8MUXX+Dbb79F+/btERYWhgkTJmD48OHw9/fPdZ8pU6aoXX8nPj4e7u7u8PPze23nFFRGRgYCAgLQrl27PBOtl4WY3cfVg3chbNzQqVNNncVRUhW0f6lg2L/6w77VL/av/hS1vs3vimytkptr165h/fr1GuVlypQp0KolBwcHyGQyhIeHq5VHRETAyckp133mzZuHpk2bYsKECQAAHx8fmJubo3nz5pg9ezbKli2rsY9CoYBCodAol8vlenmx8ttuLXdbAEBQWEKReNMUF/p63Sgb+1d/2Lf6xf7Vn6LSt/mNQavVUjY2NggLC9Mov3TpkmrlVH4YGxujXr16CAgIUCsPCAhQO031suTkZEil6mHLZDIA2SM+xUmNF8vB7z1PREp6loGjISIiKhm0Sm769u2LSZMmITw8HBKJBEqlEidPnsSXX36JAQMGFKitcePGYfny5VixYgWCg4MxduxYhIaGYvjw4QCyTym93GbXrl2xbds2LFmyBPfv38fJkyfxxRdfoGHDhnBxcdHm6RiMo6UJylgqoBRAcDiXhBMREemCVqel5syZg0GDBsHV1RVCCFSvXh1ZWVno27cvvv766wK11bt3b0RFRWHmzJkICwuDt7c3du/eDQ8PDwBAWFiY2jVvBg0ahISEBCxatAjjx4+HjY0NWrduje+++06bp2Jw3i5WOHzrOW48iUPdcraGDoeIiKjY0yq5kcvlWLduHWbNmoWLFy9CqVSiTp06qFSpklZBjBgxAiNGjMh126pVqzTKRo0ahVGjRml1rKKmhot1dnLD2zAQERHphFanpWbOnInk5GR4eXmhV69e+OCDD1CpUiWkpKRg5syZuo6xRMu5DcN13oaBiIhIJ7RKbmbMmIHExESN8uTk5FyvJ0N5y7mB5q3wBKRnKg0cDRERUfGnVXKT13Vorly5Ajs7Xmm3INxsTWFjJkdGlsCt8ARDh0NERFTsFWjOja2tLSQSCSQSCSpXrqyW4GRlZSExMVG1yonyRyKRoJabDY7efo7Lj2NR083a0CEREREVawVKbhYuXAghBD7++GPMmDED1tb/fRAbGxujfPny8PX11XmQJV0t9+zk5sqjWPRv7GHocIiIiIq1AiU3AwcOBJB9J+4mTZoUiasVlgS13bOTxMuPYg0bCBERUQmg1VLwli1bQqlU4vbt24iIiIBSqT4RtkWLFjoJrrTwcbMBkH2l4vjUDFiZMGkkIiLSllbJzenTp9G3b188fPhQ45YHEokEWVm8lUBBOFgo4GZriscxKbj+OA5NKjoYOiQiIqJiS6vVUsOHD0f9+vVx/fp1REdHIyYmRvUVHR2t6xhLhVruNgCAy49jDRoHERFRcafVyM2dO3ewZcsWVKxYUdfxlFq13Wzw79UwXOG8GyIiorei1chNo0aNcPfuXV3HUqrljNxcecQrFRMREb0NrUZuRo0ahfHjxyM8PBw1a9bUWDXl4+Ojk+BKE29XK8ikEoTHpyI8LhXO1iaGDomIiKhY0iq56dmzJwDg448/VpVJJBLVlYs5objgzIyNUNnJEsFh8bj8KBYdrJ0NHRIREVGxpFVyExISous4CNnXuwkOi8eVx7Ho4M3khoiISBtaJTceHryKrj7UcrPBhrOPOKmYiIjoLWg1oRgA/vzzTzRt2hQuLi54+PAhgOzbM/zzzz86C660yZlUfPVxHJRK8frKRERElCutkpslS5Zg3Lhx6NSpE2JjY1VzbGxsbLBw4UJdxleqVHK0gKlchsS0TNyPTDR0OERERMWSVsnNr7/+ij/++ANTp06FTCZTldevXx/Xrl3TWXCljZFMipquOfeZ4pJwIiIibWiV3ISEhKBOnToa5QqFAklJSW8dVGlW68VNNDnvhoiISDtaJTeenp64fPmyRvmePXtQvXr1t42pVFNdzI+3YSAiItKKVqulJkyYgM8//xypqakQQuDs2bPYsGED5s2bh+XLl+s6xlKl1os7hAeHxSM1IwsmctnrdyAiIiI1WiU3gwcPRmZmJiZOnIjk5GT07dsXrq6u+Pnnn/Hhhx/qOsZSxc3WFPbmxohKSkdQWDzqlrM1dEhERETFitZLwYcOHYqHDx8iIiIC4eHhePToEYYMGaLL2EoliUSC2qr7TMUaNBYiIqLiSKvkZsaMGbh37x4AwMHBAY6OjjoNqrTLmXdzKTTWoHEQEREVR1olN1u3bkXlypXRuHFjLFq0CM+fP9d1XKVazqmoCw9jDBwJERFR8aNVcnP16lVcvXoVrVu3xoIFC+Dq6opOnTph/fr1SE5O1nWMpU7tcjaQSoAnsSkIi0sxdDhERETFitZzbmrUqIG5c+fi/v37OHz4MDw9PTFmzBg4O/OGj2/LQmGEamWtAADnH3D0hoiIqCC0Tm5eZm5uDlNTUxgbGyMjI0MXTZZ69T14aoqIiEgbWic3ISEhmDNnDqpXr4769evj4sWLmD59OsLDw3UZX6lVr7wdAOD8w2gDR0JERFS8aHWdG19fX5w9exY1a9bE4MGDVde5Id3JGbkJDktAUlomzBVavVRERESljlafmK1atcLy5ctRo0YNXcdDL7jYmMLF2gRP41Jx5VEsmlR0MHRIRERExYJWp6Xmzp3LxKYQ/HdqivNuiIiI8ivfIzfjxo3DrFmzYG5ujnHjxr227oIFC946MMo+NbXzylMmN0RERAWQ7+Tm0qVLqpVQly5dyrOeRCJ5+6gIAFDvxbybSw9jkKUUkEnZt0RERG+S7+Tm8OHDuf5M+lPV2RLmxjIkpGXi9rME1bVviIiIKG9azblZvXo1kpKSdB0LvcJIJkWdF7di4KkpIiKi/NEqufnyyy/h6OiIDz/8ELt27UJmZqau46IXck5NXXjA690QERHlh1bJTVhYGDZt2gSZTIYPP/wQZcuWxYgRI3Dq1Cldx1fq1S/PkRsiIqKC0Cq5MTIyQpcuXbBu3TpERERg4cKFePjwIVq1aoUKFSroOsZSrU45W0glwOOYFDyLTzV0OEREREXeW99byszMDO3bt0fHjh1RqVIlPHjwQAdhUQ4LhRGqOvMmmkRERPmldXKTnJyMdevWoVOnTnBxccH//vc/9OjRA9evX9dlfISXT01x3g0REdGbaHX7hT59+mDnzp0wMzPD+++/jyNHjqBJkya6jo1eqOdhizWBD3mHcCIionzQKrmRSCTYtGkT2rdvDyMj3tBR3+q/uA3DjafxSE7PhJkx+5yIiCgvWn1Krl+/XvVzamoqTExMdBYQaXJ96SaaFx/Golkl3kSTiIgoL1rNuVEqlZg1axZcXV1hYWGB+/fvAwC++eYb+Pv76zRAytbYyx4AcPp+lIEjISIiKtq0Sm5mz56NVatW4fvvv4exsbGqvGbNmli+fLnOgqP/5CQ3gUxuiIiIXkur5GbNmjVYtmwZ+vXrB5lMpir38fHBzZs3dRYc/ScnubnyKBbJ6bwiNBERUV60Sm6ePHmCihUrapQrlUrVncNJt9ztTOFqY4pMpeCqKSIiotfQKrmpUaMGjh8/rlG+efNm1KlT562DIk0SiQSNvLJXTXHeDRERUd60Wi01bdo09O/fH0+ePIFSqcS2bdtw69YtrFmzBrt27dJ1jPRCYy97bLv4BIH3mNwQERHlRauRm65du2LTpk3YvXs3JBIJvv32WwQHB2Pnzp1o166drmOkF3xfzLu5+jgOSWmcd0NERJSbAo/cZGZmYs6cOfj4449x9OhRfcREeXC3M4OrjSmexKbgwsMYtKhcxtAhERERFTkFHrkxMjLCDz/8gKysLH3EQ2/A690QERG9nlanpdq2bYsjR47oOBTKD98KvN4NERHR62g1obhjx46YMmUKrl+/jnr16sHc3Fxte7du3XQSHGlq5Jm9Yipn3o25gveZIiIieplWn4yfffYZAGDBggUa2yQSCU9Z6ZG7nRncbE3xOCYF5x/GoCXn3RAREanR+t5SeX1pk9gsXrwYnp6eMDExQb169XK9hs7L0tLSMHXqVHh4eEChUKBChQpYsWKFNk+lWPLlvBsiIqI8GfycxqZNmzBmzBgsXrwYTZs2xe+//46OHTsiKCgI5cqVy3WfDz74AM+ePYO/vz8qVqyIiIgIZGaWnqXRjb3ssfnCY17vhoiIKBdajdwAwMGDB9GlSxdUqFABFStWRJcuXXDgwIECt7NgwQIMGTIEn3zyCapVq4aFCxfC3d0dS5YsybX+3r17cfToUezevRtt27ZF+fLl0bBhQzRp0kTbp1Ls5Fyp+NqTOCTyejdERERqtBq5WbRoEcaOHYtevXph9OjRAIDTp0+jU6dOWLBgAUaOHJmvdtLT03HhwgVMnjxZrdzPzw+nTp3KdZ8dO3agfv36+P777/Hnn3/C3Nwc3bp1w6xZs2BqaprrPmlpaUhLS1M9jo+PBwBkZGTo9F5YOW3p+/5aThZy1bybM/eeo0UlB70er6gorP4trdi/+sO+1S/2r/4Utb7NbxxaJTfz5s3D//73P7Uk5osvvkDTpk0xZ86cfCc3kZGRyMrKgpOTk1q5k5MTwsPDc93n/v37OHHiBExMTPD3338jMjISI0aMQHR0dJ7zbubNm4cZM2ZolO/fvx9mZmb5irUgAgICdN7mq1yNpHgMKdYfOI/EO0q9H68oKYz+Lc3Yv/rDvtUv9q/+FJW+TU5Ozlc9rZKb+Ph4dOjQQaPcz88PkyZNKnB7EolE7bEQQqMsh1KphEQiwbp162BtbQ0g+9RWr1698Ntvv+U6ejNlyhSMGzdOLX53d3f4+fnBysqqwPHmJSMjAwEBAWjXrh3kcrnO2s31WJef4szW63gGG3Tq1FivxyoqCrN/SyP2r/6wb/WL/as/Ra1vc868vIlWyU23bt3w999/Y8KECWrl//zzD7p27ZrvdhwcHCCTyTRGaSIiIjRGc3KULVsWrq6uqsQGAKpVqwYhBB4/foxKlSpp7KNQKKBQKDTK5XK5Xl4sfbX7shZVnABcx42weMSnKWFvofn8SqrC6N/SjP2rP+xb/WL/6k9R6dv8xpDv5OaXX35R/VytWjXMmTMHR44cga+vL4DsOTcnT57E+PHj8x2ksbEx6tWrh4CAALz77ruq8oCAAHTv3j3XfZo2bYrNmzcjMTERFhYWAIDbt29DKpXCzc0t38cu7hytTFDV2RI3wxNw8l4UutVyMXRIRERERUK+k5v//e9/ao9tbW0RFBSEoKAgVZmNjQ1WrFiBr7/+Ot8BjBs3Dv3790f9+vXh6+uLZcuWITQ0FMOHDweQfUrpyZMnWLNmDQCgb9++mDVrFgYPHowZM2YgMjISEyZMwMcff5znhOKSqmXlMrgZnoDjt58zuSEiInoh38lNSEiIXgLo3bs3oqKiMHPmTISFhcHb2xu7d++Gh4cHACAsLAyhoaGq+hYWFggICMCoUaNQv3592Nvb44MPPsDs2bP1El9R1rxSGfx+7D6O34l87TwlIiKi0uStL+InhACgOSm4IEaMGIERI0bkum3VqlUaZVWrVi0yM7cNqX55WyiMpAiPT8XdiERUcrI0dEhEREQGp/VF/NasWYOaNWvC1NQUpqam8PHxwZ9//qnL2OgNTOQyNHpxK4ZjdyINHA0REVHRoFVys2DBAnz22Wfo1KkT/vrrL2zatAkdOnTA8OHDNebmkH7lXMDv+J3nBo6EiIioaNDqtNSvv/6KJUuWYMCAAaqy7t27o0aNGpg+fTrGjh2rswDp9ZpXKgMgGKfvRyE1IwsmcpmhQyIiIjIorUZuwsLCcr2XU5MmTRAWFvbWQVH+VXaygKOlAqkZSlx4GGPocIiIiAxOq+SmYsWK+OuvvzTKN23alOtF9Eh/JBLJi9Eb4BhPTREREWl3WmrGjBno3bs3jh07hqZNm0IikeDEiRM4ePBgrkkP6VeLyg7YevExjt+OxJSOho6GiIjIsLQauenZsyfOnDkDBwcHbN++Hdu2bYODgwPOnj2rdqVhKhxNK2ZPKg4Ki8fzhLQ31CYiIirZtL7OTb169bB27VpdxkJacrBQoIaLFW48jcfJu5HoUcfV0CEREREZjFYjNxcvXsS1a9dUj//55x/06NEDX331FdLT03UWHOUf590QERFl0yq5+fTTT3H79m0AwP3799G7d2+YmZlh8+bNmDhxok4DpPz573o3kaqrRhMREZVGWiU3t2/fRu3atQEAmzdvRsuWLbF+/XqsWrUKW7du1WV8lE/1ytvCRC7F84Q0BIclGDocIiIig9EquRFCQKlUAgAOHDiATp06AQDc3d0RGcnbABiCwkiGphWyR28O34owcDRERESGo1VyU79+fcyePRt//vknjh49is6dOwPIvnO4k5OTTgOk/GtdzREAcCD4mYEjISIiMhytkpuFCxfi4sWLGDlyJKZOnYqKFSsCALZs2ZLrlYupcLSpmp1YXn4Ui8hELgknIqLSSaul4D4+PmqrpXL88MMPkMl4byNDcbY2US0JP3LrOXrVczN0SERERIVOq5GbvJiYmEAul+uySSqgNtWyR28O8tQUERGVUjpNbsjw2lTNnndz7PZzpGcqDRwNERFR4WNyU8LUdLVGGUsFktKzcDYk2tDhEBERFTomNyWMVCpB6ypcNUVERKWXTpKbrKwsXL58GTExMbpojt5SzpLwgzef8WrFRERU6miV3IwZMwb+/v4AshObli1bom7dunB3d8eRI0d0GR9poVlFBxgbSfEoOgV3IxINHQ4REVGh0iq52bJlC2rVqgUA2LlzJ0JCQnDz5k2MGTMGU6dO1WmAVHDmCiP4etkDAA7e5NWKiYiodNEquYmMjISzszMAYPfu3Xj//fdRuXJlDBkyJNfr31Dha/Pi1NShYCY3RERUumiV3Dg5OSEoKAhZWVnYu3cv2rZtCwBITk7mRfyKiNYvloSffxiNmKR0A0dDRERUeLRKbgYPHowPPvgA3t7ekEgkaNeuHQDgzJkzqFq1qk4DJO242ZqhqrMllAI4evu5ocMhIiIqNFrdfmH69Onw9vbGo0eP8P7770OhUAAAZDIZJk+erNMASXttqjniZngCAoKfoUcdV0OHQ0REVCi0Sm4AoFevXhplAwcOfKtgSLfaVnPCb4fv4cjNCKRmZMFEzlOGRERU8mmd3Bw8eBAHDx5EREQElEr1y/yvWLHirQOjt1fLzQZlrU0QFpeKE3ci0ba6k6FDIiIi0jut5tzMmDEDfn5+OHjwICIjIxETE6P2RUWDVCpB+xovVrVdDzNwNERERIVDq5GbpUuXYtWqVejfv7+u4yEd6+jtjFWnHuBA0DOkZyphbMQ7bhARUcmm1Sddeno6mjRpoutYSA/ql7eDg4UC8amZCLwfZehwiIiI9E6r5OaTTz7B+vXrdR0L6YFMKkH7Gtlzbfby1BQREZUCWp2WSk1NxbJly3DgwAH4+PhALperbV+wYIFOgiPd6OhdFuvOhGLfjWeY1V0JIxlPTRERUcmlVXJz9epV1K5dGwBw/fp1tW0SieStgyLdauRlB1szOaKT0nH2QTSaVHAwdEhERER6o1Vyc/jwYV3HQXokl0nRrroT/jr/GHuvhzO5ISKiEu2tz088fvwYT5480UUspEcdvcsCAPZeD4dSKQwcDRERkf5oldwolUrMnDkT1tbW8PDwQLly5WBjY4NZs2ZpXNCPioYmFe1hqTBCREIaLobyWkRERFRyaZXcTJ06FYsWLcL8+fNx6dIlXLx4EXPnzsWvv/6Kb775Rtcxkg4ojGSqKxTvuR5u4GiIiIj0R6vkZvXq1Vi+fDk+++wz+Pj4oFatWhgxYgT++OMPrFq1Sschkq508M6+WvHe6+EQgqemiIioZNIquYmOjkbVqlU1yqtWrYro6Oi3Dor0o2XlMjAzluFJbAquPI4zdDhERER6oVVyU6tWLSxatEijfNGiRahVq9ZbB0X6YSKXoU217FNTOy4/NXA0RERE+qHVUvDvv/8enTt3xoEDB+Dr6wuJRIJTp07h0aNH2L17t65jJB3qUdsFO688xc6rTzG1czXIpLwuERERlSxajdy0bNkSt2/fxrvvvovY2FhER0fjvffew61bt9C8eXNdx0g61LxSGdiYyfE8IQ2n7kUaOhwiIiKd02rkBgBcXFwwZ84cXcZChcDYSIrONbNvx7D90lM0r1TG0CERERHplFbJzbFjx167vUWLFloFQ4WjRx3XF/eaCsecDG+YyGWGDomIiEhn8pXcpKWlQaFQqB6/8847GnVevqdUVlbW20dGelOvnC1cbUzxJDYFB4Mj0NmnrKFDIiIi0pl8zbn56aefsHLlStXjmJgYta+IiAjs3bsXDRo0wP79+/UWLOmGVCpBt9ouAIDtl3nrDCIiKlnyNXLTt29f9O7dG/fv38esWbNgbW2tUaddu3ZQKBQYO3YsLly4oPNASbd61HbFkiP3cORWBGKT02FjZmzokIiIiHQiXyM35cuXx4kTJ5CcnPzaemXKlMGtW7d0EhjpVxVnS1R1tkRGlsDua7wdAxERlRz5nlAsl8vx008/AQCuXr2qtk0IgbCwMMyfP58X8StGetRxxfw9N7H98hP0bVTO0OEQERHphFarpWrXrg2JRKJxf6LGjRtjxYoVOgmM9K9bLRfM33MTZ0Oi8TQ2BS42poYOiYiI6K1pldyEhISoPZZKpShTpgxMTEx0EhQVDhcbUzT0tMPZkGjsuPIUw1tWMHRIREREb02r5MbDw0PXcZCB9KjtirMh0fj74hN82sJLbUk/ERFRcaT1FYrPnj2LI0eOICIiAkqlUm3bggUL3jowKhydfcpixs4buPUsAVcex6G2u42hQyIiInorWiU3c+fOxddff40qVarAyclJ7b99/udfvFibytHR2xnbLz/FpnOPmNwQEVGxp1Vy8/PPP2PFihUYNGiQjsMhQ/iggTu2X36KnVee4psu1WBmrPWAHhERkcFpdVdwqVSKpk2b6iyIxYsXw9PTEyYmJqhXrx6OHz+er/1OnjwJIyMj1K5dW2exlEaNPe1Rzs4MiWmZvOYNEREVe1olN2PHjsVvv/2mkwA2bdqEMWPGYOrUqbh06RKaN2+Ojh07IjQ09LX7xcXFYcCAAWjTpo1O4ijNpFIJPqjvBgD46/wjA0dDRET0drRKbr788kvcunULFSpUQNeuXfHee++pfRXEggULMGTIEHzyySeoVq0aFi5cCHd3dyxZsuS1+3366afo27cvfH19tXkK9Ipe9dwhlQBnQ6IREplk6HCIiIi0ptXkilGjRuHw4cNo1aoV7O3ttZ5EnJ6ejgsXLmDy5Mlq5X5+fjh16lSe+61cuRL37t3D2rVrMXv27DceJy0tDWlpaarH8fHxAICMjAxkZGRoFXtuctrSZZuFxd5MhuaVHHD0diQ2nnmIL/0qGTokDcW5f4sD9q/+sG/1i/2rP0Wtb/Mbh1bJzZo1a7B161Z07txZm91VIiMjkZWVBScnJ7VyJycnhIfnPvfjzp07mDx5Mo4fPw4jo/yFP2/ePMyYMUOjfP/+/TAzMyt44G8QEBCg8zYLQwVIcBQybDh9H1Uy7kBWRBe+Fdf+LS7Yv/rDvtUv9q/+FJW+fdM9LnNoldzY2dmhQgXdXc321ZEfIUSuo0FZWVno27cvZsyYgcqVK+e7/SlTpmDcuHGqx/Hx8XB3d4efnx+srKy0D/wVGRkZCAgIQLt27SCXy3XWbmFpm6nE9h+PIjopA2YV6qNNVUdDh6SmuPdvUcf+1R/2rX6xf/WnqPVtzpmXN9EquZk+fTqmTZuGlStXvtXIh4ODA2QymcYoTUREhMZoDgAkJCTg/PnzuHTpEkaOHAkAUCqVEELAyMgI+/fvR+vWrTX2UygUUCgUGuVyuVwvL5a+2tU3uRzoWdcNfxwPwdZLYehQ09XQIeWquPZvccH+1R/2rX6xf/WnqPRtfmPQKrn55ZdfcO/ePTg5OaF8+fIaB7t48WK+2jE2Nka9evUQEBCAd999V1UeEBCA7t27a9S3srLCtWvX1MoWL16MQ4cOYcuWLfD09NTi2dDLejdwxx/HQ3DoZgQiElLhaMn7hRERUfGiVXLTo0cPnQUwbtw49O/fH/Xr14evry+WLVuG0NBQDB8+HED2KaUnT55gzZo1kEql8Pb2Vtvf0dERJiYmGuWknYqOlqhbzgYXQ2Ox+fxjfN6qoqFDIiIiKhCtkptp06bpLIDevXsjKioKM2fORFhYGLy9vbF7927VzTnDwsLeeM0b0q3+vh64GBqLtacf4tMWXjCSaXXFACIiIoMoEp9aI0aMwIMHD5CWloYLFy6gRYsWqm2rVq3CkSNH8tx3+vTpuHz5sv6DLEU61SwLe3NjhMWl4kDwM0OHQ0REVCBFIrmhokVhJMOHDd0BAKtPPTRwNERERAXD5IZy1a+RB6QSIPB+FG4/SzB0OERERPnG5IZy5WJjCr/qzgCANYEPDBsMERFRAbxVcpOeno5bt24hMzNTV/FQETKgSfak7m0XnyA+tWhcepuIiOhNtEpukpOTMWTIEJiZmaFGjRqq1UxffPEF5s+fr9MAyXB8vexRydECyelZ2HrhsaHDISIiyhetkpspU6bgypUrOHLkCExM/rvIW9u2bbFp0yadBUeGJZFIMKBJeQDAn4EPoVQKwwZERESUD1olN9u3b8eiRYvQrFkztXtAVa9eHffu3dNZcGR479VxhaXCCPcjk3DyXqShwyEiInojrZKb58+fw9FR86aKSUlJud7wkoovc4URetZzAwCsPvXAsMEQERHlg1bJTYMGDfDvv/+qHuckNH/88Qd8fX11ExkVGf19sycWH7wZgbsRiQaOhoiI6PW0uv3CvHnz0KFDBwQFBSEzMxM///wzbty4gcDAQBw9elTXMZKBVShjgbbVnHAg+BmWH7+P+T19DB0SERFRnrQauWnSpAlOnjyJ5ORkVKhQAfv374eTkxMCAwNRr149XcdIRcDwll4AspeFRySkGjgaIiKivGk1cgMANWvWxOrVq3UZCxVh9cvboZ6HLS48jMGqkw8wsUNVQ4dERESUq3yP3MTHx+f7i0qmYS2yR2/Wnn6IxDReuJGIiIqmfI/c2NjY5HslVFZWltYBUdHVrpoTvBzMcT8yCRvPhuKT5l6GDomIiEhDvpObw4cPq35+8OABJk+ejEGDBqlWRwUGBmL16tWYN2+e7qOkIkEqlWBYCy9M3nYNK06EYGCT8pDLeHsyIiIqWvKd3LRs2VL188yZM7FgwQL06dNHVdatWzfUrFkTy5Ytw8CBA3UbJRUZPeq44sf9t/E0LhW7rj7Fu3XcDB0SERGRGq3+7Q4MDET9+vU1yuvXr4+zZ8++dVBUdJnIZRjctDwA4Pej9yEEb8lARERFi1bJjbu7O5YuXapR/vvvv8Pd3f2tg6Ki7aNGHjA3luFmeAKO3H5u6HCIiIjUaLUU/H//+x969uyJffv2oXHjxgCA06dP4969e9i6datOA6Six9pMjr6NyuGP4yH45eAdvFO5DG+7QURERYZWIzedOnXCnTt30L17d0RHRyMqKgrdu3fH7du30alTJ13HSEXQ0BZeMJFLcSk0Fkc5ekNEREWI1hfxc3Nzw5w5c3QZCxUjjpYm+KiRB5afCMHCA3fQkqM3RERURHAdL2nt05YVYCKX4vIjjt4QEVHRweSGtFbGUoH+jbPvGL7wwB2unCIioiKByQ29lWEtOHpDRERFC5Mbeisvj978j6M3RERUBLxVcvP8+XOcOHECJ0+exPPn/K+9tMoZvbnyKJbXvSEiIoPTKrlJSkrCxx9/DBcXF7Ro0QLNmzeHi4sLhgwZguTkZF3HSEWc2tybgNscvSEiIoPSKrkZN24cjh49ih07diA2NhaxsbH4559/cPToUYwfP17XMVIxMKxFBZgZy3DlcRz2XA83dDhERFSKaZXcbN26Ff7+/ujYsSOsrKxgZWWFTp064Y8//sCWLVt0HSMVA2UsFRja3AsA8P3em8jIUho4IiIiKq20Sm6Sk5Ph5OSkUe7o6MjTUqXY0BZecLBQ4EFUMjacDTV0OEREVEppldz4+vpi2rRpSE1NVZWlpKRgxowZ8PX11VlwVLxYKIwwum0lAMDPB+4gITXDwBEREVFppNXtF37++Wd06NABbm5uqFWrFiQSCS5fvgwTExPs27dP1zFSMfJhA3esPBGC+5FJWHbsPsb7VTF0SEREVMpoNXLj7e2NO3fuYN68eahduzZ8fHwwf/583LlzBzVq1NB1jFSMyGVSTOxQFQCw/HgInsWnvmEPIiIi3dL6xpmmpqYYOnSoLmOhEqJ9DSfU87DFhYcxWHjgNua952PokIiIqBTROrkBgKCgIISGhiI9PV2tvFu3bm8VFBVvEokEX3Wqip5LArHp3CN83NQTlZwsDR0WERGVEvlObi5evIg6depAIpHg/v37ePfdd3Ht2jVIJBLVRdskEgkAICsrSz/RUrFRz8MO7Ws4Yd+NZ5ixMwh/Dmmoen8QERHpU77n3Pzwww/o2LEjAGD06NHw9PTEs2fPYGZmhhs3buDYsWOoX78+jhw5oq9YqZj5qlM1GBtJceJuJPbd4IX9iIiocOQ7uRk5ciSio6MBAIGBgZg5cybKlCkDqVQKqVSKZs2aYd68efjiiy/0FiwVLx725hjeIvvCfrN2BSMlnSN6RESkf/lObvr06YOffvoJQPZpJwsLCwCAg4MDnj59CgDw8PDArVu39BAmFVefvVMRrjameBKbgsVH7ho6HCIiKgXyndw0btwYEyZMAJC9FPzq1asAgEaNGuH777/HyZMnMXPmTHh5eeknUiqWTI1l+KZLdQDA70fv40FkkoEjIiKiki7fyc1ff/2FgIAAAMDXX38NpTL73kGzZ8/Gw4cP0bx5c+zevRu//PKLfiKlYqt9DSc0r+SA9CwlZu4KMnQ4RERUwhVoKbilZfZy3vbt26vKvLy8EBQUhOjoaNja2nJFDGmQSCSY3q0GOiw8hkM3I3Aw+BnaVNO8NxkREZEuaHWF4ri4ONXk4hx2dnaIiYlBfHy8TgKjkqVCGQsMaZZ9ynL6zhucXExERHqjVXLz4YcfYuPGjRrlf/31Fz788EMAQGxs7FsFRiXPqNYVUdbaBI+iU7AggBPPiYhIP7RKbs6cOYNWrVpplLdq1Qp79+5F69at4ebmxisVkxpzhRHmvOsNAPA/EYLLj2INGxAREZVIWiU3aWlpyMzM1CjPuQ3Dn3/+iTNnzqgmIBPlaF3VCT1qu0ApgElbriI9U2nokIiIqITRKrlp0KABli1bplG+dOlSNG3aFK6urjAxMUGfPn3eOkAqeb7tWgP25sa49SwBS47cM3Q4RERUwmh148w5c+agbdu2uHLlCtq0aQMAOHjwIM6dO4f9+/cDACpUqIAVK1boLlIqMezMjTG9Ww2M2nAJiw7fQQdvZ1Rx5o01iYhIN7QauWnatCkCAwPh7u6Ov/76Czt37kTFihVx9epVNG/eXNcxUgnUxacs2lZzQkaWwMStV5GlFIYOiYiISgitRm4AoHbt2li3bp0uY6FSRCKRYHYPb5y5H4Urj2Kx/Ph9fNqygqHDIiKiEkCrkZuXpaSkID4+Xu2LKD+crU0wtXM1AMBP+28j6CnfO0RE9Pa0Sm6Sk5MxcuRIODo6wsLCAra2tmpfRPnVu4E72lV3QnqWEqM3XkJqBi/uR0REb0er5GbChAk4dOgQFi9eDIVCgeXLl2PGjBlwcXHBmjVrdB0jlWASiQTz36uJMpYK3IlIxLzdwYYOiYiIijmtkpudO3di8eLF6NWrF4yMjNC8eXN8/fXXmDt3LufhUIHZWyjwQy8fAMDqwIc4fCvCwBEREVFxplVyEx0dDU9PTwCAlZWV6j5TzZo1w7Fjx3QXHZUa71RxxKAm5QEAEzZfRWRimmEDIiKiYkur5MbLywsPHjwAAFSvXh1//fUXgOwRHRsbG13FRqXM5I5VUdnJApGJaZi89SqE4PJwIiIqOK2Sm8GDB+PKlSsAgClTpqjm3owdOxYTJkwocHuLFy+Gp6cnTExMUK9ePRw/fjzPutu2bUO7du1QpkwZWFlZwdfXF/v27dPmaVARYyKXYWHvOjCWSXEgOALLj4cYOiQiIiqGtEpuxo4diy+++AJA9s0yb968iQ0bNuDixYsYPXp0gdratGkTxowZg6lTp+LSpUto3rw5OnbsiNDQ0FzrHzt2DO3atcPu3btx4cIFtGrVCl27dsWlS5e0eSpUxFR3scLXXbKXh8/fexNnQ6INHBERERU3BU5uMjIy0KpVK9y+fVtVVq5cObz33nuoVatWgQNYsGABhgwZgk8++QTVqlXDwoUL4e7ujiVLluRaf+HChZg4cSIaNGiASpUqYe7cuahUqRJ27txZ4GNT0dS/sQe613ZBllLg8/UXEZGQauiQiIioGCnwFYrlcjmuX78OiUTy1gdPT0/HhQsXMHnyZLVyPz8/nDp1Kl9tKJVKJCQkwM7OLs86aWlpSEv7b4JqzoUGMzIykJGRoUXkuctpS5dtllYzu1bFjSdxuPs8CSPXXcTqQfUglNnXwGH/6gffv/rDvtUv9q/+FLW+zW8cEqHFrM3x48dDLpdj/vz5BQ7sZU+fPoWrqytOnjyJJk2aqMrnzp2L1atX49atW29s44cffsD8+fMRHBwMR0fHXOtMnz4dM2bM0Chfv349zMzMtH8CpFfPUoCfrsqQppSgjYsS3TyUhg6JiIgMKDk5GX379kVcXBysrKzyrKfVvaXS09OxfPlyBAQEoH79+jA3N1fbvmDBggK19+ookBAiXyNDGzZswPTp0/HPP//kmdgA2ZOex40bp3ocHx8Pd3d3+Pn5vbZzCiojIwMBAQFo164d5HK5ztotzZwqh2P0X1dx8KkU3Zv5QDy6zP7VE75/9Yd9q1/sX/0pan2b31s8aZXcXL9+HXXr1gUAtbk3gGai8joODg6QyWQIDw9XK4+IiICTk9Nr9920aROGDBmCzZs3o23btq+tq1AooFAoNMrlcrleXix9tVsada/rjstP4rHy5ANM3h6Mz6uyf/WN/as/7Fv9Yv/qT1Hp2/zGUKDk5v79+/D09MThw4e1CupVxsbGqFevHgICAvDuu++qygMCAtC9e/c899uwYQM+/vhjbNiwAZ07d9ZJLFR0fdWpGm4/S8DJu1H446YMPRLS4Gpn+F8yIiIqmgq0WqpSpUp4/vy56nHv3r3x7Nmztwpg3LhxWL58OVasWIHg4GCMHTsWoaGhGD58OIDsU0oDBgxQ1d+wYQMGDBiAn376CY0bN0Z4eDjCw8MRFxf3VnFQ0SWXSbG4bz142pshNl2Cz9bzBptERJS3AiU3r8493r17N5KSkt4qgN69e2PhwoWYOXMmateujWPHjmH37t3w8PAAAISFhald8+b3339HZmYmPv/8c5QtW1b1VdDr61DxYm0mx7L+dWBmJHD1cTy+3HyFVzAmIqJcaTXnRtdGjBiBESNG5Lpt1apVao+PHDmi/4CoSCpvb46PKyux9KYRdl0NQ4UyFhjbrrKhwyIioiKmQCM3EolEY8KwLq53Q5RflawFZnbLvoLxzwfvYNO53K9kTUREpVeBRm6EEBg0aJBq5VFqaiqGDx+usRR827ZtuouQ6BXv13PDo9g0LDlyD1O2XYONmTHa13A2dFhERFREFCi5GThwoNrjjz76SKfBEOXXxPZVEJWYhr/OP8aoDZew5uOGaOxlb+iwiIioCChQcrNy5Up9xUFUIBKJBHPfrYnY5AzsD3qGoavPY8OwxvB2tTZ0aEREZGBa3RWcqCgwkknxS586aORph4S0TAxaeRYPIt9u9R4RERV/TG6oWDORy/DHwPqoXtYKkYnp6PvHaYRGJRs6LCIiMiAmN1TsWZnIsfrjhqhQxhxP41Lx4bJAJjhERKUYkxsqEcpYKrBhaGMmOERExOSGSg5HKxNsGNoYXi8SnD48RUVEVCoxuaESxdHKBBtfJDhPYlPw4bJA3H+eaOiwiIioEDG5oRLn5QTnaVwq3l8aiGuPeWNVIqLSgskNlUiOVib461NfeLtaISopHX3+OI1T9yINHRYRERUCJjdUYjlYZE8y9vWyR2JaJgatOIe918MMHRYREekZkxsq0SxN5Fg5uAE61HBGepYSI9ZdxLozDw0dFhER6RGTGyrxTOQy/NavLj5s4A6lAKb+fR2zdgUhSykMHRoREekBkxsqFWRSCea9VxPj2lUGAPifCMHQNeeRmJZp4MiIiEjXmNxQqSGRSPBFm0pY1LcOFEZSHLoZgV5LTuFxDK+FQ0RUkjC5oVKni48LNn3qCwcLBW6GJ6DHbydx5n6UocMiIiIdYXJDpVJtdxv8M7IpquXccHP5GSw7dg9CcB4OEVFxx+SGSi1XG1Ns/cwX79ZxRZZSYO7um/hs7UXEp2YYOjQiInoLTG6oVDMzNsKCD2phVg9vyGUS7L0Rju6LTiI4LN7QoRERkZaY3FCpJ5FI0L+xBzYPbwJXG1OERCah+28nseJECJRcLk5EVOwwuSF6oba7DXaOaobWVR2RnqnEzF1BGLjyLCLiUw0dGhERFQCTG6KX2Jkbw39gfczq4Q2FkRTH70Si/cJj2H8j3NChERFRPjG5IXpFzmmqf79ohuplrRCTnIFhf17AuE2XEZOUbujwiIjoDZjcEOWhoqMl/v68CT5t4QWpBNh26QnaLjiKXVefcsk4EVERxuSG6DUURjJM6VQNWz9rgspOFohKSsfI9Zfw6Z8X8IxzcYiIiiQmN0T5UKecLXaOaoYv2lSCkVSC/UHP0Oano1h+/D4yspSGDo+IiF7C5IYonxRGMoxrVxk7RzVDLXcbJKZlYva/wej8y3Gcuhdp6PCIiOgFJjdEBVStrBX+/qwJ5r9XE7Zmctx+loi+f5zByPUXeRNOIqIigMkNkRakUgk+bFgOh798B/0be0AqAXZdDUPrH49i7u5gxCXzFg5ERIbC5IboLdiYGWNWD2/sGNkMvl72SM9SYtmx+2jxw2EsP34faZlZhg6RiKjUYXJDpAPertZYP7QRVg5ugCpOlohLycDsf4PR6ocjWHfmIdIzOemYiKiwMLkh0hGJRIJWVRyxe3RzfN/LB85WJngal4qpf19Hqx+PYP2ZUCY5RESFgMkNkY7JpBJ8UN8dRya8g+ldq8PRUoEnsSn46u9raPXjEaw+9QDJ6ZmGDpOIqMRickOkJyZyGQY19cSxia3wbZfqKPMiyZm24waazj+E/wXcRjRv50BEpHNMboj0zEQuw8fNPHF8YivM6l4D5ezMEJOcgZ8P3kGT+Qfx9fZruPMswdBhEhGVGEaGDoCotDCRy9Dftzz6NCyHvTfC8fvR+7j2JA5rT4di7elQNKlgjwG+5dG2miOMZPy/g4hIW0xuiAqZkUyKLj4u6FyzLALvR2H1qQcICHqGU/eicOpeFFxtTNGrnht61XODu52ZocMlIip2mNwQGYhEIkGTCg5oUsEBT2JTsO70Q2w89whPYlPw88E72aetKtjj/fpu6FCjLEyNZYYOmYioWGByQ1QEuNqYYmKHqviiTSXsuxGOzecf4+S9SNVozreKG+hSqyx61XND3XK2kEgkhg6ZiKjIYnJDVISYyGXoXtsV3Wu74nFMMrZeeIItFx/hUXQKNpx9hA1nH8HVxhSdajqjU82yqO1uw0SHiOgVTG6Iiig3WzOMblsJo1pXxJmQaGy+8Aj7rofjSWwK/jgegj+OhzDRISLKBZMboiJOKpXAt4I9fCvYI/XdLBy59Ry7r4XhQPAztUSnrLUJWlV1ROsqjmhS0R5mxvz1JqLSiX/9iIoRE7kMHbyd0cHbGakZ6olOWFwq1p8JxfozoTA2ksLXyx6tqzqidVVHrroiolKFyQ1RMfVqohN4PwqHb0bgYHAEnsSm4Ojt5zh6+zmm7bgBLwdz+FawR5MKDmjsZQd7C4Whwyci0hsmN0QlgIlchlZVHNGqiiNmdBO4E5GIQzcjcOhmBC48jMH9yCTcj0zCujOhAICqzpaqZKdBeVvYmBkb+BkQEekOkxuiEkYikaCykyUqO1lieMsKiEvJwNmQaJy6F4nAe1G4GZ6g+lp58gEAoEIZc9Rxt4FRrASVIxJRpawNpFJOTiai4onJDVEJZ20qR7vqTmhX3QkAEJmYhtP3s6+fc/peFO5HJuHe8+wvQIaNv56CtakcdcrZwMfVGt6u1vBxs4GTlYKrsYioWGByQ1TKOFgo0MXHBV18XAAA0UnpuPgwBudConDwyn08TpEhLiUDR249x5Fbz9X283a1Qk1Xa9RwsUZVZ0u425lBxhEeIipimNwQlXJ25sZoW90JLSvZoXrmHbRr3w53I1NwKTQW157E4fqTONyJSERkYppGwmMil6KSoyUqOVmgipMlKjtbooqTJcpam3CUh4gMhskNEamRy6TwcbOBj5uNqiw1IwtBYfG4/iLZufE0HncjEpGaocS1J3G49iROrQ1LhREqOlnA08EcnvbmKO9gjvL25ijvYAZLE3khPyMiKm2Y3BDRG5nIZahbzhZ1y9mqyrKUAo+ik3HrWQJuhyfg1rME3HmWiHvPE5GQlolLobG4FBqr0ZaDhfGLRMcc5e3N4GZrBldbU7jamMLJyoSnuYjorTG5ISKtyKSS7ATFwRztazirytMzlXgQlYQ7zxLxICoJIZFJeBiVhJDIZEQmpiEyMR2Riek4/zBGo00jqQTO1iZwsTGFm42pWtLjaKWAk5UJ7MyMuZKLiF6LyQ0R6ZSxkVS1FP1VCakZeBiVjJDIJDyITMLD6GQ8iUnBk9gUhMWlICNL4HFMCh7HpOBsHu0bSSUoY6mAo6UCjlYmcLTMTnpyvttbGMPO3Bj25gqYGsv0+2SJqEhickNEhcbSRA7vF8vLX5WlFHiekIYnscl4/CLheRKTgqexKXgWn4aIhDREJaUhUykQFpeKsLhUAHGaB3mJiVwKe3MFbM3lsDNXwN7cGLZmxrC3yP5uZy6HlYkcVqbZ361N5bAwMeKpMaJijskNERUJshenpJytTVDPI/c6GVlKRCWm41l8Kp7FpyIiIQ0RL77nPI5KTEd0UjrSs5RIzVBmJ0mxKQWKxVJhlJ3wmMphZZL9s7VpTiJkBAuFEcwVRjAzlsHcOPtnc4UMZsYvfTeWwUgm1UHPEFFBFYnkZvHixfjhhx8QFhaGGjVqYOHChWjevHme9Y8ePYpx48bhxo0bcHFxwcSJEzF8+PBCjJiIDEEuk6oSoNcRQiApPQvRiemITk5HdFJ20hOTnI6opHTEJGUnQDHJGYhPyUB8agbiUzKRkpEFAEhIy0RCWmaBk6JXKYyk2UmQXIqsdBlWPT4DCxM5FEYymMilMJG/+G4k++9nuQwKuQwmRi9+Nsqp99I+L/Y3NpJCLsv5knD5PdELBk9uNm3ahDFjxmDx4sVo2rQpfv/9d3Ts2BFBQUEoV66cRv2QkBB06tQJQ4cOxdq1a3Hy5EmMGDECZcqUQc+ePQ3wDIioqJFIJLBQZI+wlLPP/x3R0zOVLxKdDMSnZqoSn7iU7OQn5+fktEwkpmUhOT0TSelZSE7LRFJa9s9JaZnIVAoAQFqmEmmZ6YjOjgphya8/jfa25DIJ5LL/kh7jF0mPKgEyksL45ccyKYyNXnn8YrtMJoFMIoGRVAKZVAojmQQyaXaZTCpRPTaSSiCV5DyWvqj/op5MovZYo86LL6kke7tEAkilEkglgDTnsUTy4iv7dZW+VJazXakUEEKvXUvFjMGTmwULFmDIkCH45JNPAAALFy7Evn37sGTJEsybN0+j/tKlS1GuXDksXLgQAFCtWjWcP38eP/74Y57JTVpaGtLS0lSP4+PjAQAZGRnIyMjQ2XPJaUuXbdJ/2L/6xf4FJACsFVJYKxQAtL9zelqmEsnpmUhOz0JyWhbiklNxPPAcqtashbQsIDVDidTMLKRlKJGakYXUTGV2IpSRpb4tM/tx2os6qRlZSMv8b59XP9AzsgQysrKQnJ71Vv1QPBlhzOn9uSRGOY81kyaZVL1eTh0JsstzxsGyB8T+K5O8WkciUZUj1+3qjyWv1McrZS/X0dz3Rf3sDbnGkzOCp/H41f1VB1f79tJzBpRKgfBwKQL+ugKZVPrqLmrPAS8dBwDeq+OCRp52eb9kWsjv3yeDJjfp6em4cOECJk+erFbu5+eHU6dO5bpPYGAg/Pz81Mrat28Pf39/ZGRkQC7XvEDYvHnzMGPGDI3y/fv3w8ws///V5VdAQIDO26T/sH/1i/2rH1VsAPHoMowBGAOwerWC5MWGfN6gXQhACSBLCWQKIEuo/5ypfFEmgEylJPv7izov//zqvjl1lS9/Ift7Vi5lGuVCorYtP/uJF89HvPS8/isr2Km27LZzsj4O5+iGFIh8VuC95HGPEBWs29cgOTk5X/UMmtxERkYiKysLTk5OauVOTk4IDw/PdZ/w8PBc62dmZiIyMhJly5bV2GfKlCkYN26c6nF8fDzc3d3h5+cHKyuNPzFay8jIQEBAANq1a5drkkVvh/2rX+xf/WHfvh0hRHYypBSqn5UvvgshkJaRgcOHj6BFy5aQyYyQJbJPU2XX+a+eUpldJl7a/+U6SiGyT3GpjgsI/HfK6+XH4qXH2RtzysQryZpQbcu9DfFS+UuPXyqDWpv/7ZuzH3KJ6eV9X24v5+eX+1az7L+fs7KycOvWLVSuXBkymUyt7sv1cvrh5bJmFe1RvazuPmOB/868vInBT0sB/w2Z5RBCvHZiXG71cyvPoVAooFBoDjHL5XK9/KHRV7uUjf2rX+xf/WHf6kdGRgYs5ICzjTn7V8cyMjKwO+EmOrWoUCT6Nr8xGHSdooODA2QymcYoTUREhMboTA5nZ+dc6xsZGcHe3l5vsRIREVHxYNDkxtjYGPXq1dM4xx8QEIAmTZrkuo+vr69G/f3796N+/fpFIqskIiIiwzL4FabGjRuH5cuXY8WKFQgODsbYsWMRGhqqum7NlClTMGDAAFX94cOH4+HDhxg3bhyCg4OxYsUK+Pv748svvzTUUyAiIqIixOBzbnr37o2oqCjMnDkTYWFh8Pb2xu7du+HhkX2J0rCwMISGhqrqe3p6Yvfu3Rg7dix+++03uLi44JdffuE1boiIiAhAEUhuAGDEiBEYMWJErttWrVqlUdayZUtcvHhRz1ERERFRcWTw01JEREREusTkhoiIiEoUJjdERERUojC5ISIiohKFyQ0RERGVKExuiIiIqERhckNEREQlCpMbIiIiKlGKxEX8ClvOXcTze+v0/MrIyEBycjLi4+N5nys9YP/qF/tXf9i3+sX+1Z+i1rc5n9s5n+N5KZXJTUJCAgDA3d3dwJEQERFRQSUkJMDa2jrP7RLxpvSnBFIqlXj69CksLS0hkUh01m58fDzc3d3x6NEjWFlZ6axdysb+1S/2r/6wb/WL/as/Ra1vhRBISEiAi4sLpNK8Z9aUypEbqVQKNzc3vbVvZWVVJN4EJRX7V7/Yv/rDvtUv9q/+FKW+fd2ITQ5OKCYiIqIShckNERERlShMbnRIoVBg2rRpUCgUhg6lRGL/6hf7V3/Yt/rF/tWf4tq3pXJCMREREZVcHLkhIiKiEoXJDREREZUoTG6IiIioRGFyQ0RERCUKkxsiIiIqUZjc6NDixYvh6ekJExMT1KtXD8ePHzd0SEXevHnz0KBBA1haWsLR0RE9evTArVu31OoIITB9+nS4uLjA1NQU77zzDm7cuKFWJy0tDaNGjYKDgwPMzc3RrVs3PH78uDCfSpE3b948SCQSjBkzRlXGvn07T548wUcffQR7e3uYmZmhdu3auHDhgmo7+1c7mZmZ+Prrr+Hp6QlTU1N4eXlh5syZUCqVqjrs2/w7duwYunbtChcXF0gkEmzfvl1tu676MiYmBv3794e1tTWsra3Rv39/xMbG6vnZ5UGQTmzcuFHI5XLxxx9/iKCgIDF69Ghhbm4uHj58aOjQirT27duLlStXiuvXr4vLly+Lzp07i3LlyonExERVnfnz5wtLS0uxdetWce3aNdG7d29RtmxZER8fr6ozfPhw4erqKgICAsTFixdFq1atRK1atURmZqYhnlaRc/bsWVG+fHnh4+MjRo8erSpn32ovOjpaeHh4iEGDBokzZ86IkJAQceDAAXH37l1VHfavdmbPni3s7e3Frl27REhIiNi8ebOwsLAQCxcuVNVh3+bf7t27xdSpU8XWrVsFAPH333+rbddVX3bo0EF4e3uLU6dOiVOnTglvb2/RpUuXwnqaapjc6EjDhg3F8OHD1cqqVq0qJk+ebKCIiqeIiAgBQBw9elQIIYRSqRTOzs5i/vz5qjqpqanC2tpaLF26VAghRGxsrJDL5WLjxo2qOk+ePBFSqVTs3bu3cJ9AEZSQkCAqVaokAgICRMuWLVXJDfv27UyaNEk0a9Ysz+3sX+117txZfPzxx2pl7733nvjoo4+EEOzbt/FqcqOrvgwKChIAxOnTp1V1AgMDBQBx8+ZNPT8rTTwtpQPp6em4cOEC/Pz81Mr9/Pxw6tQpA0VVPMXFxQEA7OzsAAAhISEIDw9X61uFQoGWLVuq+vbChQvIyMhQq+Pi4gJvb2/2P4DPP/8cnTt3Rtu2bdXK2bdvZ8eOHahfvz7ef/99ODo6ok6dOvjjjz9U29m/2mvWrBkOHjyI27dvAwCuXLmCEydOoFOnTgDYt7qkq74MDAyEtbU1GjVqpKrTuHFjWFtbG6S/S+VdwXUtMjISWVlZcHJyUit3cnJCeHi4gaIqfoQQGDduHJo1awZvb28AUPVfbn378OFDVR1jY2PY2tpq1Cnt/b9x40ZcvHgR586d09jGvn079+/fx5IlSzBu3Dh89dVXOHv2LL744gsoFAoMGDCA/fsWJk2ahLi4OFStWhUymQxZWVmYM2cO+vTpA4DvXV3SVV+Gh4fD0dFRo31HR0eD9DeTGx2SSCRqj4UQGmWUt5EjR+Lq1as4ceKExjZt+ra09/+jR48wevRo7N+/HyYmJnnWY99qR6lUon79+pg7dy4AoE6dOrhx4waWLFmCAQMGqOqxfwtu06ZNWLt2LdavX48aNWrg8uXLGDNmDFxcXDBw4EBVPfat7uiiL3Orb6j+5mkpHXBwcIBMJtPITiMiIjSyYcrdqFGjsGPHDhw+fBhubm6qcmdnZwB4bd86OzsjPT0dMTExedYpjS5cuICIiAjUq1cPRkZGMDIywtGjR/HLL7/AyMhI1TfsW+2ULVsW1atXVyurVq0aQkNDAfC9+zYmTJiAyZMn48MPP0TNmjXRv39/jB07FvPmzQPAvtUlXfWls7Mznj17ptH+8+fPDdLfTG50wNjYGPXq1UNAQIBaeUBAAJo0aWKgqIoHIQRGjhyJbdu24dChQ/D09FTb7unpCWdnZ7W+TU9Px9GjR1V9W69ePcjlcrU6YWFhuH79eqnu/zZt2uDatWu4fPmy6qt+/fro168fLl++DC8vL/btW2jatKnGZQtu374NDw8PAHzvvo3k5GRIpeofTzKZTLUUnH2rO7rqS19fX8TFxeHs2bOqOmfOnEFcXJxh+rvQpzCXUDlLwf39/UVQUJAYM2aMMDc3Fw8ePDB0aEXaZ599JqytrcWRI0dEWFiY6is5OVlVZ/78+cLa2lps27ZNXLt2TfTp0yfXZYpubm7iwIED4uLFi6J169alcsnnm7y8WkoI9u3bOHv2rDAyMhJz5swRd+7cEevWrRNmZmZi7dq1qjrsX+0MHDhQuLq6qpaCb9u2TTg4OIiJEyeq6rBv8y8hIUFcunRJXLp0SQAQCxYsEJcuXVJdqkRXfdmhQwfh4+MjAgMDRWBgoKhZsyaXgpcEv/32m/Dw8BDGxsaibt26quXMlDcAuX6tXLlSVUepVIpp06YJZ2dnoVAoRIsWLcS1a9fU2klJSREjR44UdnZ2wtTUVHTp0kWEhoYW8rMp+l5Nbti3b2fnzp3C29tbKBQKUbVqVbFs2TK17exf7cTHx4vRo0eLcuXKCRMTE+Hl5SWmTp0q0tLSVHXYt/l3+PDhXP/ODhw4UAihu76MiooS/fr1E5aWlsLS0lL069dPxMTEFNKzVCcRQojCHy8iIiIi0g/OuSEiIqIShckNERERlShMboiIiKhEYXJDREREJQqTGyIiIipRmNwQERFRicLkhoiIiEoUJjdERDr24MEDzJ49G4mJiYYOhahUYnJDpEfLli2Du7s7pFIpFi5cqNdjSSQSbN++HUD2h6tEIsHly5fzrH/kyBFIJBLExsa+1XHfeecdjBkz5q3aKG5u3ryJxo0bw8TEBLVr11bblp6ejg8++AD29vawsLB4Y1vly5fX+3sDAPr376+6g3lx0KtXLyxYsMDQYVAxxeSGSr1BgwZBIpFAIpFALpfDy8sLX375JZKSkt6q3fj4eIwcORKTJk3CkydPMGzYMB1F/Gbu7u4ICwuDt7d3oR1TF+bOnQuZTIb58+drbCtKSdS0adNgbm6OW7du4eDBg2rbxo8fj3bt2uGzzz7LV1vnzp3T+3vj6tWr+PfffzFq1Cit9vf09MTevXt1HFW2kSNHok2bNqhcubJafN9++y3mzJmD+Ph4vRyXSjYmN0QAOnTogLCwMNy/fx+zZ8/G4sWL8eWXX+ZaNyMjI19thoaGIiMjA507d0bZsmVhZmamy5BfSyaTwdnZGUZGRoV2TF1YuXIlJk6ciBUrVhg6lNe6d+8emjVrBg8PD9jb26tt+/XXXzFnzpw3tpGeng4AKFOmjN7fG4sWLcL7778PS0vLAu979epVREVFoVWrVnqIDPjpp59w8OBBXLt2DWvWrEFCQgIAwMfHB+XLl8e6dev0clwq2ZjcEAFQKBRwdnaGu7s7+vbti379+qlO8UyfPh21a9fGihUr4OXlBYVCASEEQkND0b17d1hYWMDKygoffPABnj17BgBYtWoVatasCQDw8vKCRCLBgwcPMGjQIPTo0UPt2GPGjME777yjevzOO+/giy++wMSJE2FnZwdnZ2dMnz5dbZ87d+6gRYsWMDExQfXq1REQEKC2PbfTUrt370blypVhamqKVq1a4cGDB2r7REVFoU+fPnBzc4OZmRlq1qyJDRs2qNVJSkrCgAEDYGFhgbJly+Knn37S6Mv09HRMnDgRrq6uMDc3R6NGjXDkyJHXvwAAjh49ipSUFMycORNJSUk4duyYatugQYNw9OhR/Pzzz6pRtgcPHqhOre3btw916tSBqakpWrdujYiICOzZswfVqlWDlZUV+vTpg+TkZFV7aWlp+OKLL+Do6AgTExM0a9YM586dU22PiYlBv379UKZMGZiamqJSpUpYuXIlgOzTfxcuXMDMmTMhkUhUr82TJ0/Qu3dv2Nrawt7eHt27d1fr45zXft68eXBxcUHlypUBaJ6Wio2NxbBhw+Dk5AQTExN4e3tj165d+X6NXqVUKrF582Z069ZNrTwsLAydO3eGqakpPD09sX79+lxPkf3zzz9o3749FAoFAODkyZNo2bIlzMzMYGtri/bt2yMmJgZA9nt31KhRGDNmDGxtbeHk5IRly5YhKSkJgwcPhqWlJSpUqIA9e/ao2lcoFMjMzMTIkSMxZ84ctQSsW7dub3x+RLlhckOUC1NTU7URmrt37+Kvv/7C1q1bVQlDjx49EB0djaNHjyIgIAD37t1D7969AQC9e/fGgQMHAABnz55FWFgY3N3d83381atXw9zcHGfOnMH333+PmTNnqhIYpVKJ9957DzKZDKdPn8bSpUsxadKk17b36NEjvPfee+jUqRMuX76MTz75BJMnT1ark5qainr16mHXrl24fv06hg0bhv79++PMmTOqOhMmTMDhw4fx999/Y//+/Thy5AguXLig1s7gwYNx8uRJbNy4EVevXsX777+PDh064M6dO6+N0d/fH3369IFcLkefPn3g7++v2vbzzz/D19cXQ4cORVhYmEZ/Tp8+HYsWLcKpU6fw6NEjfPDBB1i4cCHWr1+Pf//9FwEBAfj1119V9SdOnIitW7di9erVuHjxIipWrIj27dsjOjoaAPDNN98gKCgIe/bsQXBwMJYsWQIHBwcA2UlBjRo1MH78eISFheHLL79EcnIyWrVqBQsLCxw7dgwnTpyAhYUFOnTooBqhAYCDBw8iODgYAQEBqoTlZUqlEh07dsSpU6ewdu1aBAUFYf78+ZDJZPl+jV519epVxMbGon79+mrlAwYMwNOnT3HkyBFs3boVy5YtQ0REhMb+O3bsQPfu3QEAly9fRps2bVCjRg0EBgbixIkT6Nq1K7KyslT1V69eDQcHB5w9exajRo3CZ599hvfffx9NmjTBxYsX0b59e/Tv31+VbIaFheHdd9+Fn58fRo4cqXbshg0b4uzZs0hLS8vz+RHlyiD3IicqQgYOHCi6d++uenzmzBlhb28vPvjgAyGEENOmTRNyuVxERESo6uzfv1/IZDIRGhqqKrtx44YAIM6ePSuEEOLSpUsCgAgJCcnzWEIIMXr0aNGyZUvV45YtW4pmzZqp1WnQoIGYNGmSEEKIffv2CZlMJh49eqTavmfPHgFA/P3330IIIUJCQgQAcenSJSGEEFOmTBHVqlUTSqVStc+kSZMEABETE5Nn33Tq1EmMHz9eCCFEQkKCMDY2Fhs3blRtj4qKEqampmL06NFCCCHu3r0rJBKJePLkiVo7bdq0EVOmTMnzOHFxccLMzExcvnxZCJHdd2ZmZiIuLk6tX3KOk+Pw4cMCgDhw4ICqbN68eQKAuHfvnqrs008/Fe3btxdCCJGYmCjkcrlYt26dant6erpwcXER33//vRBCiK5du4rBgwfnGW+tWrXEtGnTVI/9/f1FlSpV1Po3LS1NmJqain379gkhsl97JycnkZaWptaWh4eH+N///ieEyH5tpVKpuHXrVp7HftXLr1Fu/v77byGTydRiCw4OFgDEuXPnVGV37twRAFSxCCHE48ePhVwuF1FRUUIIIfr06SOaNm2a57Fefe9mZmYKc3Nz0b9/f1VZWFiYACACAwOFEEL4+PgId3d30ahRI9GoUSO11+3KlSsCgHjw4EE+eoLoP8XrhDyRnuzatQsWFhbIzMxERkYGunfvrvafvoeHB8qUKaN6HBwcDHd3d7XRg+rVq8PGxgbBwcFo0KDBW8Xj4+Oj9rhs2bKq/6qDg4NRrlw5uLm5qbb7+vq+tr3g4GA0btwYEokkz32ysrIwf/58bNq0CU+ePEFaWhrS0tJgbm4OIHueSXp6utp+dnZ2qFKliurxxYsXIYRQnXLJkZaWpjE35WXr16+Hl5cXatWqBQCoXbs2vLy8sHHjxnxNtn25v5ycnGBmZgYvLy+1srNnz6qeR0ZGBpo2baraLpfL0bBhQwQHBwMAPvvsM/Ts2RMXL16En58fevTogSZNmuR5/AsXLuDu3bsac1pSU1Nx79491eOaNWvC2Ng4z3YuX74MNzc3jf7L8abXKDcpKSlQKBRqr/2tW7dgZGSEunXrqsoqVqwIW1tbtX137NiBpk2bws7OThXf+++/n+exAPXXQiaTwd7eXnWKFsh+LQCo3s9XrlzJsy1TU1MAUDulSJQfTG6IALRq1QpLliyBXC6Hi4sL5HK52vZXPzyEEGofFm8qzyGVSiGEUCvLbYLyq8eXSCRQKpWqY7zqdcfMa59X/fTTT/jf//6HhQsXombNmjA3N8eYMWNUp1Xy04ZSqYRMJsOFCxdUp1JyvG5Z9IoVK3Djxg21CdBKpRL+/v75Sm5e7q+cVW8vy63/Xu2zl1+7jh074uHDh/j3339x4MABtGnTBp9//jl+/PHHXI+vVCpRr169XCe/vpwUvy4JAf77MM/Lm16j3Dg4OCA5ORnp6emqxCqv1/LV8pdPSeUnPiD39+6rrw8A1evxOjmnCV/uQ6L84JwbImR/6FSsWBEeHh4af5xzU716dYSGhuLRo0eqsqCgIMTFxaFatWp57lemTBmEhYWplb3uWjSvO/bTp09VZYGBgW/c5/Tp02plrz4+fvw4unfvjo8++gi1atWCl5eX2jyZihUrQi6Xq+0XExOD27dvqx7XqVMHWVlZiIiIQMWKFdW+nJ2dc43t2rVrOH/+PI4cOYLLly+rvo4dO4Zz587h+vXrAABjY2O1uR3aqlixIoyNjXHixAlVWUZGBs6fP6/22pUpUwaDBg3C2rVrsXDhQixbtizPNuvWrYs7d+7A0dFR43lbW1vnOzYfHx88fvxYrU9f9qbXKDc51+EJCgpSlVWtWhWZmZm4dOmSquzu3btq1zxKTEzE4cOH1SYi+/j4aCx916fr16/Dzc1NNd+JKL+Y3BBpoW3btvDx8UG/fv1w8eJFnD17FgMGDEDLli01Jm6+rHXr1jh//jzWrFmDO3fuYNq0aaoP74Icu0qVKhgwYACuXLmC48ePY+rUqa/dZ/jw4bh37x7GjRuHW7duYf369Vi1apVanYoVKyIgIACnTp1CcHAwPv30U4SHh6u2W1hYYMiQIZgwYQIOHjyI69evY9CgQZBK//szUrlyZfTr1w8DBgzAtm3bEBISgnPnzuG7777D7t27c43N398fDRs2RIsWLeDt7a36atasGXx9fVUTi8uXL48zZ87gwYMHiIyMzNd//rkxNzfHZ599hgkTJmDv3r0ICgrC0KFDkZycjCFDhgDIvsbKP//8g7t37+LGjRvYtWvXa5PWfv36wcHBAd27d8fx48cREhKCo0ePYvTo0Xj8+HG+Y2vZsiVatGiBnj17IiAgACEhIdizZ4/qGjNveo1yU6ZMGdStW1ctmatatSratm2LYcOG4ezZs7h06RKGDRsGU1NT1cjK3r17UalSJbXTe1OmTMG5c+cwYsQIXL16FTdv3sSSJUsQGRmZ7+dYEMePH4efn59e2qaSjckNkRZyrgZsa2uLFi1aoG3btvDy8sKmTZteu1/79u3xzTffYOLEiWjQoAESEhIwYMCAAh1bKpXi77//RlpaGho2bIhPPvnkjddVKVeuHLZu3YqdO3eiVq1aWLp0qcbVar/55hvUrVsX7du3xzvvvANnZ2eNZes//PADWrRogW7duqFt27Zo1qwZ6tWrp1Zn5cqVGDBgAMaPH48qVaqgW7duOHPmTK6rxdLT07F27Vr07Nkz17h79uyJtWvXIj09HV9++SVkMhmqV6+OMmXKIDQ0NB+9lbv58+ejZ8+e6N+/P+rWrYu7d+9i3759qjknxsbGmDJlCnx8fNCiRQvIZDJs3Lgxz/bMzMxw7NgxlCtXDu+99x6qVauGjz/+GCkpKbCysipQbFu3bkWDBg3Qp08fVK9eHRMnTlSNWOXnNcrNsGHDNE6ZrVmzBk5OTmjRogXeffddDB06FJaWljAxMQGQvQT85VNSQHbyun//fly5cgUNGzaEr68v/vnnH71cTyk1NRV///03hg4dqvO2qeSTiPycSCciomIrNTUVVapUwcaNG/OcfP748WO4u7vjwIEDeOedd+Do6Ig9e/agYcOGhRxttt9++w3//PMP9u/fb5DjU/HGCcVERCWciYkJ1qxZo3b66NChQ0hMTETNmjURFhaGiRMnonz58mjRogWioqIwduzYt1719zbkcrnaikWiguDIDRFRKbRv3z6MHz8e9+/fh6WlJZo0aYKFCxfCw8PD0KERvTUmN0RERFSicEIxERERlShMboiIiKhEYXJDREREJQqTGyIiIipRmNwQERFRicLkhoiIiEoUJjdERERUojC5ISIiohLl/2IDVYGp2NbgAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "X = np.linspace(0, 1030, 200)  # profundidade em g/cm²\n",
    "lambda_muon = 120  # comprimento de atenuação típico para múons\n",
    "\n",
    "N0 = 1.0  # número inicial (normalizado)\n",
    "N = N0 * np.exp(-X / lambda_muon)\n",
    "\n",
    "plt.plot(X, N, label='N(X) = N0 * exp(-X/λ)')\n",
    "plt.xlabel('Profundidade Atmosférica (g/cm²)')\n",
    "plt.ylabel('Fração de múons sobreviventes')\n",
    "plt.title('Atenuação de Múons na Atmosfera')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bc27863a-d9d5-469c-a997-c761c83033ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NGjXU/s5lZ2cLzZs3F2rXrl3gObZnz54CACEjI0Pr+vJ+srOz820jv++gtn2R5/XjXrlyZWHq1Kn5rkPXz0FxzhcABAcHB0GhUIhlSUlJgomJiRAcHFxgm1lZWULDhg2FadOmabz/zTffCACE69evFxj76974y692dnY4c+YMLl68iOXLl8PPzw///PMPgoKC4O7urrXL+nXvvvuuWi9TXnd079691erllSckJBgk9pcvX+Lzzz9HgwYNYGZmBjMzM1SuXBmpqam4fv26WO/nn39G165d8+0mz7Nv3z507NgRlStXhpmZGaRSKbZu3arW1m+//QYAGj09H374ISpVqoRff/013/Zv3ryJhw8fYvDgwWr/ebi4uGi9b+C3335D9+7dYWtrC1NTU0ilUsybNw/Jyckal7HzM2TIELXXgwcPBgDxct6PP/4IiUSCTz75BNnZ2eKPo6MjWrZsqXGZpGrVqhojgk+cOAFra2uN/1rz1vUqXY+ZNrqu599//8WNGzfEbX91u959910kJibi5s2b+a7nxx9/RJUqVdCnTx+1ZVu1agVHR0eNfdKqVSuxNxUALCws0KhRI7Xegx9//BFdu3ZFzZo11drM63V5/Ybgvn37qvWKpKam4tKlS+jXrx/Mzc3F8sqVK6NPnz4F7TaRLp9vbaKjo5GRkaHxWerQoQNcXFzUyn788Uc0b94crVq1UtvOHj166Dx63cnJCZ6enuLratWqoUaNGmjVqpVaj1ze91nXS/ev0vd7rMsxbtu2LX7++WfMmjULJ0+eRHp6uk6xPHz4EABQo0YNtfK872h+3+GCNGjQAFWrVsXnn3+OTZs24dq1azrF8roPPvhA57r5fTdzcnIMMvI0MjISKpUKEydOLLDe48ePMW7cODg7O4uf87zPad5nPTU1Fb///jsGDBiAypUri8uamprC398f9+/fL/AckZ9169ZBKpWKPy1btlR7v6jfwfy0bdsW4eHhWLJkCc6fPy/eS5inOJ8DfWLt2rWr2gAfBwcH1KhRQ+37kZ2djWXLlsHNzQ3m5uYwMzODubk5bt26pbXNvO/DgwcPdI4Z4D11Ii8vL3z++efYt28fHj58iGnTpuHu3bs6jRyrVq2a2uu8Pzr5lWdkZBgk5sGDB2PDhg0YNWoUjh07hgsXLuDixYuwt7dXO6HK5fJCb7g9cOAABg4ciFq1auHbb79FdHQ0Ll68iJEjR6rFm5ycDDMzM40bhSUSCRwdHQu81JL3nqOjo8Z7r5dduHABvr6+AIBvvvkG586dw8WLFzF79mwA0OkPhpmZGezs7LSuJy+WR48eQRAEODg4qJ2MpFIpzp8/r5HUaxvxlpycrHaJNr9tAnQ/Ztroup68y5EzZszQ2KYJEyYAQIH/rDx69AjPnz+Hubm5xvJJSUkay76+jwFAJpOpbc+jR49w5MgRjfaaNWumNZ7X9/OzZ8/E4/Q6bWWv0/XzrY0+n9tHjx7hzz//1NhOa2trCIKg0z+Jr583gNxzhyHPJ/p+j3U5xuvXr8fnn3+OQ4cOoWvXrqhWrRr69euHW7duFRhLXhsWFhZaY8zvO1wQW1tbnDp1Cq1atcIXX3yBZs2aoWbNmpg/f77GH/6C6DPCtaDvZmGXoHWRdz9rQefynJwc+Pr64sCBA5g5cyZ+/fVXXLhwAefPnwfwv32d933Stn15/zgUFHNegv/6PxSDBw/GxYsXcfHiRbRu3VrtveJ8B/MTERGBYcOGYcuWLfD29ka1atUwdOhQ8T7jon4O9I1Vl+9HYGAg5s6di379+uHIkSP4/fffcfHiRbRs2VLruT/v+6DrP0d53vh76rSRSqWYP38+1q5di7///rtE1yWTybTO5VPYSeDFixf48ccfMX/+fMyaNUssz7sX4FX29vZqN4Vq8+2338LV1RURERFqvWivx2ZnZ4fs7GzI5XK1PwiCICApKQlt2rTJdx15H3xtN/a/XrZ3715IpVL8+OOPaid7feaUys7ORnJystoXLm89eWXVq1eHRCLBmTNntN4L+HqZtnsb7OzscOHChUK3SZ9jpo2u68m7Ly8oKAjvv/++1rZev3/j9eXt7Ow0bsLPU5QpJ6pXr44WLVpg6dKlWt9//Z6w1/dz1apVIZFItN4/l99AkVfp+vnWprDP7asDE6pXrw5LS0utA0Xy3i9JFhYWWrdJWyJe1O9xfipVqiTee/jo0SOx165Pnz64ceNGvsvl7ZOnT5+qJRl5Meb3HS6Mu7s79u7dC0EQ8OeffyI8PByLFi2CpaWl2vevIPrcy1TQZzMv/rxz2evHSJdkP+843b9/H87Ozlrr/P3337hy5QrCw8MxbNgwsfzff/9Vq1e1alWYmJggMTFRo428ntOCPqs+Pj7YvHkzfvjhB8yYMUMsr1GjhtjDZG1trbadun4H89tH2v4mVq9eHSEhIQgJCUFCQgJ++OEHzJo1C48fPxbPX0X5HBTnfJGfb7/9FkOHDsWyZcvUyp88eaIxQAiA+DdB33PGG99Tp+1DDfyvm1rfG5D1VbduXfz5559qZb/99htevnxZ4HISiQSCIGgkHVu2bFEbbQUAvXr1wokTJwrsTpdIJDA3N1f7ACclJWmM9unWrRuA3A/oq/bv34/U1FTxfW0aN24MJycn7NmzR20Ea3x8PKKiojTiMTMzg6mpqViWnp6u9zQN3333ndrr3bt3A4A4yu29996DIAh48OABvLy8NH7c3d0LXUfXrl2RkpKiMQAmb12vbpOux6w462ncuDEaNmyIK1euaN0mLy+vAhOz9957D8nJyVCpVFqXLSghLKjNv//+G/Xr19faZmHfs0qVKsHLywuHDh1CVlaWWP7y5UuNUWba6Pr51qZ9+/awsLDQ+CxFRUVp9FS89957uH37Nuzs7LRuZ0lPsF23bl08fvxYLcHIysrCsWPH1OoV53usCwcHBwwfPhwff/wxbt68qTHi/FVNmjQBkHuD/6u6du0KIP/vsK4kEglatmyJtWvXokqVKmqTur7em1Ic+X03TUxMxMEkecf/9XO+LoPnfH19YWpqirCwsHzr5H2+Xz/HfP3112qvK1WqhHbt2uHAgQNq25+Tk4Nvv/0WtWvXRqNGjfJdT//+/eHm5oZly5YVmLC/Hpsu30EHBwdYWFho7KPCvqt16tTBpEmT4OPjo3Xi3oI+B0WNVR8SiUTjuPz000/5Xl69c+cOTExM9D7fvvE9dT169EDt2rXRp08fNGnSBDk5OYiNjcXq1atRuXJlTJkypUTX7+/vj7lz52LevHno3Lkzrl27hg0bNsDW1rbA5WxsbNCpUyd8+eWXqF69OurWrYtTp05h69atGln/okWL8PPPP6NTp0744osv4O7ujufPn+O///0vAgMD0aRJE7z33ns4cOAAJkyYII7uW7x4MZycnNQun/j4+KBHjx74/PPPoVAo0LFjR3HUnIeHB/z9/fON2cTEBIsXL8aoUaPQv39/jB49Gs+fP8eCBQs0Lqn07t0ba9asweDBgzFmzBgkJydj1apVes1VZm5ujtWrV+Ply5do06aNOPq1V69eeOuttwAAHTt2xJgxYzBixAhcunQJnTp1QqVKlZCYmIizZ8/C3d1dY1Te64YOHYq1a9di6NChWLp0KRo2bIijR49q/CHV55gVZz1A7km8V69e6NGjB4YPH45atWrh6dOnuH79Ov744w/s27cv3/V89NFH+O677/Duu+9iypQpaNu2LaRSKe7fv48TJ07Az88P/fv3LzTeVy1atAiRkZHo0KEDJk+ejMaNGyMjIwN3797F0aNHsWnTpkJvEVi0aBF69+6NHj16YMqUKVCpVPjyyy9RuXLlQns6df18a1O1alXMmDEDS5YswahRo/Dhhx/i3r17Wj+3U6dOxf79+9GpUydMmzYNLVq0QE5ODhISEnD8+HFMnz4d7dq1022nFcGgQYMwb948fPTRR/jss8+QkZGB9evXa/zTUJzvcX7atWuH9957Dy1atEDVqlVx/fp17Nq1C97e3gXO5diuXTtYWlri/Pnzavek+fr6olOnTpg5cyZSU1Ph5eWFc+fO6fSP3Y8//ojQ0FD069cP9erVgyAIOHDgAJ4/fw4fHx+xnru7O06ePIkjR47AyckJ1tbWRfqnBcjtjRs/fjwSEhLQqFEjHD16FN988w3Gjx8vXq50dHRE9+7dERwcjKpVq8LFxQW//vorDhw4UGj7devWxRdffIHFixcjPT0dH3/8MWxtbXHt2jU8efIECxcuRJMmTVC/fn3MmjULgiCgWrVqOHLkiDha9VXBwcHw8fFB165dMWPGDJibmyM0NBR///039uzZU2AvpampKQ4dOoQePXqgbdu2GD16NLp06YKqVavi+fPn+P3333HlyhW1+7h1/Q7m3eO8bds21K9fHy1btsSFCxc0kvkXL16ga9euGDx4MJo0aQJra2tcvHhRHCUP6P45eF1xzhcFtRkeHo4mTZqgRYsWiImJwZdffpnvee/8+fNo1aoVqlatqt+K9BpWUQFFREQIgwcPFho2bChUrlxZkEqlQp06dQR/f3+N0aL5jX798ssv1erljXDat2+fWnneqKlXR8ZlZmYKM2fOFJydnQVLS0uhc+fOQmxsrE6jX+/fvy988MEHQtWqVQVra2uhZ8+ewt9//611JM+9e/eEkSNHCo6OjgIAwcbGRhg4cKDw6NEjsc7y5cuFunXrCjKZTGjatKnwzTffaIzAEoTckW+ff/654OLiIkilUsHJyUkYP3688OzZMx32uCBs2bJFaNiwoWBubi40atRI2LZtm9ZRe9u2bRMaN24syGQyoV69ekJwcLCwdetWjZFn2gwbNkyoVKmS8OeffwpdunQRLC0thWrVqgnjx48XXr58qVF/27ZtQrt27YRKlSoJlpaWQv369YWhQ4eqjULs3Lmz0KxZM63ryzsWlStXFqytrYUPPvhAiIqK0hjFpc8xK856BEEQrly5IgwcOFCoUaOGIJVKBUdHR+Gdd94RNm3aVOh6lEqlsGrVKqFly5aChYWFULlyZaFJkybC2LFjhVu3bon1XFxchN69e2ss//p3RRAEQS6XC5MnTxZcXV0FqVQqVKtWTfD09BRmz54tHpP8vlN5Dh48KLi7uwvm5uZCnTp1hOXLlwuTJ08WqlatqlZP2/7U9fOtTU5OjhAcHCw4OzsL5ubmQosWLYQjR45o3c6XL18Kc+bMERo3biyYm5sLtra2gru7uzBt2jQhKSmpwPXk9xnLbz8DECZOnKhWdvToUaFVq1aCpaWlUK9ePWHDhg3F+h7reoxnzZoleHl5CVWrVhW/s9OmTROePHlS4DYLgiD4+/sLbm5uGuXPnz8XRo4cKVSpUkWwsrISfHx8hBs3bhQ6+vXGjRvCxx9/LNSvX1+wtLQUbG1thbZt2wrh4eFq7cfGxgodO3YUrKys1EYyaztX57euvH3RrFkz4eTJk4KXl5cgk8kEJycn4YsvvtAYgZ6YmCgMGDBAqFatmmBrayt88skn4ijNgka/5tm5c6fQpk0bccYGDw8PteWuXbsm+Pj4CNbW1kLVqlWFDz/8UEhISNA608KZM2eEd955RzzvtW/fXjhy5IjGOvPz4sULYdmyZUKbNm0EGxsbwczMTKhRo4bg4+MjbNy4UUhNTVWrr+t38MWLF8KoUaMEBwcHoVKlSkKfPn2Eu3fvqm1DRkaGMG7cOKFFixaCjY2NYGlpKTRu3FiYP3++uF5dPwfFOV9o+w5qa/PZs2dCQECAUKNGDcHKykp46623hDNnzmg9h6SkpAhWVlYaszLoQvL/QdEbJDw8HGfPnsWWLVuMHUqJGT58OL7//vtCL2NT+aZUKtGqVSvUqlULx48fN3Y4VESXLl1CmzZtcP78+RLtyaxIsrKy0LZtW+zbtw8NGzY0djhkQFu3bsWUKVNw7949vXvq3vh76t4kt27dwsmTJ/Ho0SN8//33xg6HSG8BAQHYu3cvTp06hYiICPj6+uL69euYOXOmsUOjYvDy8sLAgQPLxXNCy4L//ve/iI6OhlKp1OkJEFR+ZGdnY8WKFQgKCtL/0it4T90b5fr16/D390dOTk6hcx0RlUUpKSmYMWMG5HI5pFIpWrdujaNHj6J79+7GDo2KafXq1di6dStSUlKKNML6TbJs2TKcP38eDRo00OkJG1R+3Lt3D5988gmmT59epOV5+ZWIiIioAuDlVyIiIqIKgEkdERERUQXApI6IiIioAuBACS1ycnLw8OFDWFtb6/WYGCIiIiJ9CYKAlJQU1KxZEyYmRe9vY1KnxcOHD/N9th4RERFRSbh3716hT9cpCJM6LfKG09+7dw82NjZGjqbiUyqVOH78OHx9fSGVSo0dDumJx6984/Er/3gMyzelUolDhw5h1KhRxZ7Oh0mdFnmXXG1sbJjUlQKlUgkrKyvY2NjwhFQO8fiVbzx+5R+PYfmWd/wAFPuWLw6UICIiIqoAmNQRERERVQBGT+pCQ0Ph6uoKCwsLeHp64syZMzotd+7cOZiZmaFVq1Ya7+3fvx9ubm6QyWRwc3PDwYMHDRw1ERERUdli1KQuIiICU6dOxezZs3H58mW8/fbb6NWrFxISEgpc7sWLFxg6dCi6deum8V50dDQGDRoEf39/XLlyBf7+/hg4cCB+//33ktoMIiIiIqMzalK3Zs0aBAQEYNSoUWjatClCQkLg7OyMsLCwApcbO3YsBg8eDG9vb433QkJC4OPjg6CgIDRp0gRBQUHo1q0bQkJCSmgriIiIiIzPaEldVlYWYmJi4Ovrq1bu6+uLqKiofJfbvn07bt++jfnz52t9Pzo6WqPNHj16FNgmERERUXlntClNnjx5ApVKBQcHB7VyBwcHJCUlaV3m1q1bmDVrFs6cOQMzM+2hJyUl6dUmAGRmZiIzM1N8rVAoAOQOM1YqlTptDxVd3j7mvi6fePzKNx6/8o/HsHwz5HEz+jx1r8/JIgiC1nlaVCoVBg8ejIULF6JRo0YGaTNPcHAwFi5cqFF+/Phxce4YKnmRkZHGDoGKgcevfOPxK/94DMloSV316tVhamqq0YP2+PFjjZ42AEhJScGlS5dw+fJlTJo0CUDuM1oFQYCZmRmOHz+Od955B46Ojjq3mScoKAiBgYHia4VCAWdnZ/j6+nLy4VKgVCoRGRkJHx8fTpxZDvH4lW88fuUfj2H5plQqcfjwYYO0ZbSkztzcHJ6enoiMjET//v3F8sjISPj5+WnUt7GxwV9//aVWFhoait9++w3ff/89XF1dAQDe3t6IjIzEtGnTxHrHjx9Hhw4d8o1FJpNBJpNplEulUn5BShH3d/nG41e+8fiVfzyGZNTLr4GBgfD394eXlxe8vb2xefNmJCQkYNy4cQBye9AePHiAnTt3wsTEBM2bN1dbvkaNGrCwsFArnzJlCjp16oQVK1bAz88Phw8fxi+//IKzZ8+W6rYRERERlSajJnWDBg1CcnIyFi1ahMTERDRv3hxHjx6Fi4sLACAxMbHQOete16FDB+zduxdz5szB3LlzUb9+fURERKBdu3YlsQlEREREZYLRB0pMmDABEyZM0PpeeHh4gcsuWLAACxYs0CgfMGAABgwYYIDoiIiIiMoHoz8mjIiIiIiKj0kdERERUQVg9MuvRETGJpfLxUnHgdzR9vb29novp8+yRESGxqSOiN5ocrkcI8eMQ0p6hlhmbWmBbZs3FZicaVtO12WJiEoCkzoieqMpFAqkpGegi/942DnVRnLifZzcFQaFQlFgYvb6cgB0XpaIqCQwqSMiAmDnVBuOLq6lthwRkaFxoAQRERFRBcCeOiKi12RlZSI+Pl6tjAMgiKisY1JHRPSKlOdPEXf7DmYvXqb2TGgOgCCiso5JHRHRKzLSUmEilaKz/3jUqlsfQO4AiONbQ/DXX3+JjzGMj49Hdna2MUMlIlLDpI6ISAs7x5riAAhtvXfpaal4mPQISmWWMcMkIhIxqSMiKoS23rtbsRexP3QVVCpVoctzkmIiKg1M6oiIdPRq75384T2dluEkxURUWpjUEdEb5fVeM0PfG/f6yNn4+Hg8S3mJ7iM+5STFRFSimNQR0RtDW6+ZIe+NK+jeO5vqNThJMRGVKCZ1RPTG0PZoL33ujStMce+9IyIqDiZ1RPTGefXRXrreG6dX+0W4946IqLj4mDAiIiKiCoBJHREREVEFwMuvRFRhlfRIVyKisoRJHRFVSCU90pWIqKxhUkdEFVJJj3QlIiprmNQRUYVW0iNdiYjKCiZ1RERG8PqTJwA+D5aIiodJHRFRKdP25AmAz4MlouJhUkdEVMq0PXkiOfE+jm8NwV9//QUXFxexLnvviEhXTOqIiIzk1SdPsPeOiIqLSR0RURmQX+/dyV1hUCgUTOqIqFBM6oiIypBXe++IiPTBx4QRERERVQBM6oiIiIgqACZ1RERERBUAkzoiIiKiCoBJHREREVEFwKSOiIiIqAJgUkdERERUARg9qQsNDYWrqyssLCzg6emJM2fO5Fv37Nmz6NixI+zs7GBpaYkmTZpg7dq1anXCw8MhkUg0fjIyMkp6U4iIDC4rKxPx8fG4ffu2+COXy40dFhGVQUadfDgiIgJTp05FaGgoOnbsiK+//hq9evXCtWvXUKdOHY36lSpVwqRJk9CiRQtUqlQJZ8+exdixY1GpUiWMGTNGrGdjY4ObN2+qLWthYVHi20NEZEh8dBgR6cOoSd2aNWsQEBCAUaNGAQBCQkJw7NgxhIWFITg4WKO+h4cHPDw8xNd169bFgQMHcObMGbWkTiKRwNHRseQ3gIioBPHRYUSkD6Ndfs3KykJMTAx8fX3Vyn19fREVFaVTG5cvX0ZUVBQ6d+6sVv7y5Uu4uLigdu3aeO+993D58mWDxU1EVNryHh3m6OIKO6faxg6HiMooo/XUPXnyBCqVCg4ODmrlDg4OSEpKKnDZ2rVrQy6XIzs7GwsWLBB7+gCgSZMmCA8Ph7u7OxQKBdatW4eOHTviypUraNiwodb2MjMzkZmZKb5WKBQAAKVSCaVSWdRNJB3l7WPu6/KprB4/lUoFc6kUEiEHUGUDAEwgwEImg0kBZbrUMWaZRMiBuVQKlUplkH1eVo8f6Y7HsHwz5HGTCIIgGKw1PTx8+BC1atVCVFQUvL29xfKlS5di165duHHjRr7LxsXF4eXLlzh//jxmzZqFDRs24OOPP9ZaNycnB61bt0anTp2wfv16rXUWLFiAhQsXapTv3r0bVlZWem4ZERERke7S0tIwePBgvHjxAjY2NkVux2g9ddWrV4epqalGr9zjx481eu9e5+rqCgBwd3fHo0ePsGDBgnyTOhMTE7Rp0wa3bt3Kt72goCAEBgaKrxUKBZydneHr61usnUu6USqViIyMhI+PD6RSqbHDIT2V1eMXFxeHSdNnou/UeXBwdgEAXL1wDruC52DCyjDUadhEa5kudYxZ9uhePH4IWYQNq1eK58LiKKvHj3THY1i+KZVKHD582CBtGS2pMzc3h6enJyIjI9G/f3+xPDIyEn5+fjq3IwiC2qVTbe/HxsbC3d093zoymUxtZFkeqVTKL0gp4v4u38ra8TM1NUWWUglBYgKY5p7qciBBRmYmcgoo06WOMcsEiQmylEqYmpoadH+XteNH+uMxJKOOfg0MDIS/vz+8vLzg7e2NzZs3IyEhAePGjQOQ24P24MED7Ny5EwCwceNG1KlTB02a5P7HevbsWaxatQqffvqp2ObChQvRvn17NGzYEAqFAuvXr0dsbCw2btxY+htIRKVGLpeL98MCQHx8PLKzs40YERFR6TJqUjdo0CAkJydj0aJFSExMRPPmzXH06FG4uOReKklMTERCQoJYPycnB0FBQYiLi4OZmRnq16+P5cuXY+zYsWKd58+fY8yYMUhKSoKtrS08PDxw+vRptG3bttS3j4hKh1wux8gx45CS/r9JxtPTUvEw6RGUyiwjRkZEVHqMmtQBwIQJEzBhwgSt74WHh6u9/vTTT9V65bRZu3atxlMmiKhiUygUSEnPQBf/8eKUH7diL2J/6CqoVCojR0dEVDqMntQRERmKnVNtOLrkDh6QP7xn5GhKTt6jw15lY2PDyYiJ3nBM6oiIyhE+OoyI8sOkjoioHOGjw4goP0zqiIjKobxHhxER5WFSR0TlDqcvISLSxKSOiMoVTl9CRKQdkzoiKlc4fQkRkXZM6oioXHpTpi8hItKVibEDICIiIqLiY1JHREREVAEwqSMiIiKqAJjUEREREVUATOqIiIiIKgAmdUREREQVAJM6IiIiogqASR0RERFRBcCkjoiIiKgCYFJHREREVAEwqSMiIiKqAJjUEREREVUATOqIiIiIKgAmdUREREQVAJM6IiIiogqASR0RERFRBWBm7ACIiKj4srIyER8fr1ZmY2MDe3t7I0VERKWNSR0RUTmX8vwp4m7fwezFyyCTycRya0sLbNu8iYkd0RuCSR0RUTmXkZYKE6kUnf3Ho1bd+gCA5MT7OLkrDAqFgkkd0RuCSR0RUQVh51gTji6uxg6DiIyEAyWIiIiIKgAmdUREREQVAJM6IiIiogqASR0RERFRBcCkjoiIiKgCKFZSl5GRYag4iIiIiKgY9E7qcnJysHjxYtSqVQuVK1fGnTt3AABz587F1q1bDR4gERERERVO76RuyZIlCA8Px8qVK2Fubi6Wu7u7Y8uWLQYNjoiIiIh0o3dSt3PnTmzevBlDhgyBqampWN6iRQvcuHFD7wBCQ0Ph6uoKCwsLeHp64syZM/nWPXv2LDp27Ag7OztYWlqiSZMmWLt2rUa9/fv3w83NDTKZDG5ubjh48KDecRERERGVJ3ondQ8ePECDBg00ynNycqBUKvVqKyIiAlOnTsXs2bNx+fJlvP322+jVqxcSEhK01q9UqRImTZqE06dP4/r165gzZw7mzJmDzZs3i3Wio6MxaNAg+Pv748qVK/D398fAgQPx+++/67ehREREROWI3o8Ja9asGc6cOQMXFxe18n379sHDw0OvttasWYOAgACMGjUKABASEoJjx44hLCwMwcHBGvU9PDzU1lG3bl0cOHAAZ86cwZgxY8Q2fHx8EBQUBAAICgrCqVOnEBISgj179ugVHxGVLrlcDoVCoVaWlZWldqtHfHw8srOzSzs0IqIyT++kbv78+fD398eDBw+Qk5ODAwcO4ObNm9i5cyd+/PFHndvJyspCTEwMZs2apVbu6+uLqKgondq4fPkyoqKisGTJErEsOjoa06ZNU6vXo0cPhISE6BwbEZU+uVyOkWPGISX9f6Pqs7Iyce/uXbjUqw8zs9zTVXpaKh4mPYJSmWWsUImIyiS9k7o+ffogIiICy5Ytg0Qiwbx589C6dWscOXIEPj4+Orfz5MkTqFQqODg4qJU7ODggKSmpwGVr164NuVyO7OxsLFiwQOzpA4CkpCS928zMzERmZqb4Oq+nQKlU6n1JmfSXt4+5r8snQx2/Z8+eITNbhXf8x6GaYy0AwO0//8CjLevRecgYONVxFct+2LIeQrYSUOX22JlAgIVMBhMhp9hlhmzLmGUSIQfmUilUKlWBx4bfv/KPx7B8M+RxkwiCIBisNT08fPgQtWrVQlRUFLy9vcXypUuXYteuXQUOuoiLi8PLly9x/vx5zJo1Cxs2bMDHH38MADA3N8eOHTvE1wDw3XffISAgIN959RYsWICFCxdqlO/evRtWVlZF3UQiIiKiQqWlpWHw4MF48eIFbGxsityO3j11hlK9enWYmppq9KA9fvxYo6ftda6uuf+xu7u749GjR1iwYIGYxDk6OurdZlBQEAIDA8XXCoUCzs7O8PX1LdbOJd0olUpERkbCx8cHUqnU2OGQngx1/OLi4jBp+kz0nToPDs659+xevXAOu4LnYMLKMNRp2KRUyoyxzpIou/13LL4OmoQ6detCZi4T93NlSwtsXLcW1atXN+jxI+PhMSzflEolDh8+bJC2dErqqlatColEolODT58+1ameubk5PD09ERkZif79+4vlkZGR8PPz06kNABAEQe3Sqbe3NyIjI9Xuqzt+/Dg6dOiQbxsymQwymUyjXCqV8gtSiri/y7fiHj9TU1NkKZUQJCaAae6pKQcSZGRmIqcUy4yxzpIoS0tLQ5YqB96DRqFW3foAgOTE+zi5KwxpaWkax4rfv/KPx5B0SupeHWSQnJyMJUuWoEePHuJl0+joaBw7dgxz587Va+WBgYHw9/eHl5cXvL29sXnzZiQkJGDcuHEAcnvQHjx4gJ07dwIANm7ciDp16qBJk9z/RM+ePYtVq1bh008/FducMmUKOnXqhBUrVsDPzw+HDx/GL7/8grNnz+oVGxFRRWDnWBOOLq7GDoOISoFOSd2wYcPE3z/44AMsWrQIkyZNEssmT56MDRs24JdfftEYeVqQQYMGITk5GYsWLUJiYiKaN2+Oo0ePitOlJCYmqs1Zl5OTg6CgIMTFxcHMzAz169fH8uXLMXbsWLFOhw4dsHfvXsyZMwdz585F/fr1ERERgXbt2ukcFxEREVF5o/c9dceOHcOKFSs0ynv06KExPYkuJkyYgAkTJmh9Lzw8XO31p59+qtYrl58BAwZgwIABesdCREREVF7p/UQJOzs7rY/dOnToEOzs7AwSFBERERHpR++euoULFyIgIAAnT54U76k7f/48/vvf/2LLli0GD5CIiIiICqd3Ujd8+HA0bdoU69evx4EDByAIAtzc3HDu3Dnet0ZERERkJEWap65du3b47rvvDB0LERERERVRsSYfTk9P13i8BSfrJSIiIip9eg+USEtLw6RJk1CjRg1UrlwZVatWVfshIiIiotKnd1L32Wef4bfffkNoaChkMhm2bNmChQsXombNmuIkwURERERUuvS+/HrkyBHs3LkTXbp0wciRI/H222+jQYMGcHFxwXfffYchQ4aURJxEREREVAC9e+qePn0KV9fcR87Y2NiIz3p96623cPr0acNGR0REREQ60Tupq1evHu7evQsAcHNzw3/+8x8AuT14VapUMWRsRERERKQjvZO6ESNG4MqVKwCAoKAg8d66adOm4bPPPjN4gERERERUOL3vqZs2bZr4e9euXXHjxg1cunQJ9evXR8uWLQ0aHBERERHppljz1AFAnTp1UKdOHUPEQkRERERFpFNSt379ep0bnDx5cpGDISIiIqKi0SmpW7t2rdpruVyOtLQ0cWDE8+fPYWVlhRo1ajCpIyIiIjICnZK6uLg48ffdu3cjNDQUW7duRePGjQEAN2/exOjRozF27NiSiZKIKhy5XA6FQiG+jo+PR3Z2thEjIiIq3/S+p27u3Ln4/vvvxYQOABo3boy1a9diwIABnHyYiAoll8sxcsw4pKRniGXpaal4mPQISmWWESMjIiq/9E7qEhMToVQqNcpVKhUePXpkkKCIqGJTKBRISc9AF//xsHOqDQC4FXsR+0NXQaVSGTk6IqLySe+krlu3bhg9ejS2bt0KT09PSCQSXLp0CWPHjkX37t1LIkYiqqDsnGrD0SX3CTXyh/eMHM2bISsrE/Hx8eJrJtFEFYfeSd22bdswbNgwtG3bFlKpFACQnZ2NHj16YMuWLQYPkIiIDCPl+VPE3b6D2YuXQSaTAQDMpVJMHDUCT548gZOTk5EjJKLi0Dups7e3x9GjR/HPP//gxo0bEAQBTZs2RaNGjUoiPiIiMpCMtFSYSKXo7D8eterWBwA8S7wHIAcpKSlM6ojKuSJPPtyoUSMmckRE5ZCdY03xsrdEyAFe8tI3UUWgU1IXGBiIxYsXo1KlSggMDCyw7po1awwSGBERERHpTqek7vLly+KI18uXL+dbTyKRGCYqIiIiItKLTkndiRMntP5ORERERGWDibEDICIiIqLi06mn7v3339e5wQMHDhQ5GCIiIiIqGp2SOltb25KOg4iIiIiKQaekbvv27SUdBxFVYHK5HAqFQnwdHx+P7OxsI0ZERFTxFHmeOiIiXcjlcowcMw4p6RliWXpaKh4mPYJSmWXEyIiIKhadkrrWrVvj119/RdWqVeHh4VHg1CV//PGHwYIjovJPoVAgJT0DXfzHw86pNgDgVuxF7A9dxeeOEhEZkE5JnZ+fn/icwH79+pVkPERUQdk51RafYiB/yCcYEBEZmk5J3fz587X+TkRERERlQ5Hvqbt06RKuX78OiUSCpk2bwtPT05BxERFRKbp37x5MTU3F1zY2NrC3tzdiRESkL72Tuvv37+Pjjz/GuXPnUKVKFQDA8+fP0aFDB+zZswfOzs6GjpGIiErIyxfPAFNg0cpVkEj+Nx+9taUFtm3exMSOqBzR+4kSI0eOhFKpxPXr1/H06VM8ffoU169fhyAICAgIKIkYiYiohGSkpQIA3vpoFD6YuRQfzFyKLv7jkZKeoTYNDRGVfXondWfOnEFYWBgaN24sljVu3BhfffUVzpw5o3cAoaGhcHV1hYWFBTw9PQts48CBA/Dx8YG9vT1sbGzg7e2NY8eOqdUJDw+HRCLR+MnIyMinVSIiqlbDEY4urnB0cRVHKRNR+aJ3UlenTh0olUqN8uzsbNSqVUuvtiIiIjB16lTMnj0bly9fxttvv41evXohISFBa/3Tp0/Dx8cHR48eRUxMDLp27Yo+ffrg8uXLavVsbGyQmJio9mNhYaFXbERERETlid5J3cqVK/Hpp5/i0qVLEAQBQO6giSlTpmDVqlV6tbVmzRoEBARg1KhRaNq0KUJCQuDs7IywsDCt9UNCQjBz5ky0adMGDRs2xLJly9CwYUMcOXJErZ5EIoGjo6PaDxEREVFFptNAiapVq6pNOJyamop27drBzCx38ezsbJiZmWHkyJE6z2OXlZWFmJgYzJo1S63c19cXUVFROrWRk5ODlJQUVKtWTa385cuXcHFxgUqlQqtWrbB48WJ4eHjo1CYRERFReaRTUhcSEmLwFT958gQqlQoODg5q5Q4ODkhKStKpjdWrVyM1NRUDBw4Uy5o0aYLw8HC4u7tDoVBg3bp16NixI65cuYKGDRtqbSczMxOZmZni67ybg5VKpdZLzWRYefuY+7p8Kuz4qVQqmEulkAg5gCr3ea8mEGAhk8GkDJaVlThKswyA2vGRCDkwl0qhUqn4vSwHeA4t3wx53CRC3jXUUvbw4UPUqlULUVFR8Pb2FsuXLl2KXbt24caNGwUuv2fPHowaNQqHDx9G9+7d862Xk5OD1q1bo1OnTli/fr3WOgsWLMDChQs1ynfv3g0rKysdt4iIiIhIf2lpaRg8eDBevHgBGxubIrdT5MmHASA9PV0jw9Q1mOrVq8PU1FSjV+7x48cavXevi4iIQEBAAPbt21dgQgcAJiYmaNOmDW7dupVvnaCgIAQGBoqvFQoFnJ2d4evrW6ydS7pRKpWIjIyEj48PpFKpscMhPRV2/OLi4jBp+kz0nToPDs4uAICrF85hV/AcTFgZhjoNm5SpsrISR2mVXb9wFi2tgdum1eDcyA0A8OhePH4IWYQNq1fC1dW1KB8LKkU8h5ZvSqUShw8fNkhbeid1qamp+Pzzz/Gf//wHycnJGu/r+oBuc3NzeHp6IjIyEv379xfLIyMj4efnl+9ye/bswciRI7Fnzx707t270PUIgoDY2Fi4u7vnW0cmk4nPtn2VVCrlF6QUcX+Xb3nHTy6Xq81vdv/+faSlp0OQmACmuaecHEiQkZmJnDJYVlbiKM0yQFA7PoLEBFlKJUxNTfmdLEd4DiW9k7qZM2fixIkTCA0NxdChQ7Fx40Y8ePAAX3/9NZYvX65XW4GBgfD394eXlxe8vb2xefNmJCQkYNy4cQBye9AePHiAnTt3AshN6IYOHYp169ahffv2Yi+fpaUlbG1tAQALFy5E+/bt0bBhQygUCqxfvx6xsbHYuHGjvptKRHqSy+UYOWYcUtL/Ny9keloqHiY9glKZZcTIiIgqPr2TuiNHjmDnzp3o0qULRo4cibfffhsNGjSAi4sLvvvuOwwZMkTntgYNGoTk5GQsWrQIiYmJaN68OY4ePQoXl9xLNImJiWpz1n399dfIzs7GxIkTMXHiRLF82LBhCA8PB5D7yLIxY8YgKSkJtra28PDwwOnTp9G2bVt9N5WI9KRQKJCSnoEu/uPFCWxvxV7E/tBVOvfiExFR0eid1D19+lS8x8LGxgZPnz4FALz11lsYP3683gFMmDABEyZM0PpeXqKW5+TJk4W2t3btWqxdu1bvOIjIcOycasPRJfc8IX94z8jREBG9GfSefLhevXq4e/cuAMDNzQ3/+c9/AOT24FWpUsWQsRERERGRjvRO6kaMGIErV64AyL3nLTQ0FDKZDNOmTcNnn31m8ACJiIiIqHB6X36dNm2a+HvXrl1x/fp1xMTEoH79+mjZsqVBgyMiIiIi3RRrnjoAcHFxEQc2EBEREZFx6H35FQB+/fVXvPfee6hfvz4aNGiA9957D7/88ouhYyMiIiPJyspEfHw8bt++jdu3b0Mulxs7JCIqhN49dRs2bMC0adMwYMAATJkyBQBw/vx5vPvuu1izZg0mTZpk8CCJiKj0pDx/irjbdzB78TJxYnZrSwts27wJ9vb2Ro6OiPKjd1IXHByMtWvXqiVvkydPRseOHbF06VImdURE5VxGWipMpFJ09h+PWnXrIznxPk7uCoNCoWBSR1SG6X35VaFQoGfPnhrlvr6+ao8GIiKi8s3OsSYcXVzFiaSJqGzTO6nr27cvDh48qFF++PBh9OnTxyBBEREREZF+dLr8un79evH3pk2bYunSpTh58iS8vb0B5N5Td+7cOUyfPr1koiQiIiKiAumU1L3+2K2qVavi2rVruHbtmlhWpUoVbNu2DXPmzDFshERERERUKJ2Suri4uJKOg4iIiIiKoUjz1OURBAGCIBgqFiIiIiIqoiIldTt37oS7uzssLS1haWmJFi1aYNeuXYaOjYiIiIh0pPc8dWvWrMHcuXMxadIkdOzYEYIg4Ny5cxg3bhyePHmi9mxYIiIiIiodeid1X331FcLCwjB06FCxzM/PD82aNcOCBQuY1BEREREZgd6XXxMTE9GhQweN8g4dOiAxMdEgQRERERGRfvRO6ho0aID//Oc/GuURERFo2LChQYIiIiIiIv3offl14cKFGDRoEE6fPo2OHTtCIpHg7Nmz+PXXX7Ume0RERERU8vTuqfvggw9w4cIFVK9eHYcOHcKBAwdQvXp1XLhwAf379y+JGImIiIioEHr11CmVSowZMwZz587Ft99+W1IxEREREZGe9Oqpk0qlOHjwYEnFQkRERERFpPfl1/79++PQoUMlEAoRERERFZXeAyUaNGiAxYsXIyoqCp6enqhUqZLa+5MnTzZYcEREVDZkZWUiPj5erczGxgb29vZGioiIXqd3UrdlyxZUqVIFMTExiImJUXtPIpEwqSMiqmBSnj9F3O07mL14GWQymVhubWmBbZs3MbEjKiP0Turi4uJKIg4iIiqjMtJSYSKVorP/eNSqWx8AkJx4Hyd3hUGhUDCpIyoj9E7qXiUIAoDcHjoievPI5XI8e/YMQO4/fPfv30d2draRo6KSYudYE44ursYOg4jyofdACQDYunUrmjdvDgsLC1hYWKB58+bYsmWLoWMjojJMLpdj5JhxmDR9JgBg0vSZCFqwCPEJCVAqs4wcHRHRm0fvpG7u3LmYMmUK+vTpg3379mHfvn3o06cPpk2bhjlz5pREjERUBikUCqSkZ+CtjwIAAH2nzkO7fkOQk5MDlUpl5OiIiN48el9+DQsLwzfffIOPP/5YLOvbty9atGiBTz/9FEuWLDFogERUtlVzrAW8vAcHZxc8Tnxg7HCIiN5YevfUqVQqeHl5aZR7enryXhoiIiIiI9E7qfvkk08QFhamUb5582YMGTLEIEERERERkX6KNPp169atOH78ONq3bw8AOH/+PO7du4ehQ4ciMDBQrLdmzRrDRElEREREBdI7qfv777/RunVrAMDt27cBAPb29rC3t8fff/8t1uM0J0RERESlR++k7sSJEyURBxEREREVQ5HmqSMiIiKissXoSV1oaChcXV1hYWEBT09PnDlzJt+6Bw4cgI+PD+zt7WFjYwNvb28cO3ZMo97+/fvh5uYGmUwGNzc3HDx4sCQ3gYiIiMjojJrURUREYOrUqZg9ezYuX76Mt99+G7169UJCQoLW+qdPn4aPjw+OHj2KmJgYdO3aFX369MHly5fFOtHR0Rg0aBD8/f1x5coV+Pv7Y+DAgfj9999La7OIiIiISl2xnv1aXGvWrEFAQABGjRoFAAgJCcGxY8cQFhaG4OBgjfohISFqr5ctW4bDhw/jyJEj8PDwEOv4+PggKCgIABAUFIRTp04hJCQEe/bsKdkNIiJ6g2RlZSI+Pl6tzMbGBvb29kaKiOjNZrSkLisrCzExMZg1a5Zaua+vL6KionRqIycnBykpKahWrZpYFh0djWnTpqnV69Gjh0ZCSERERZfy/Cnibt/B7MXLIJPJxHJrSwts27yJiR2RERQpqdu1axc2bdqEuLg4REdHw8XFBSEhIXB1dYWfn59ObTx58gQqlQoODg5q5Q4ODkhKStKpjdWrVyM1NRUDBw4Uy5KSkvRuMzMzE5mZmeJrhUIBAFAqlVAqlTrFQkWXt4+5r8sXlUoFc6kUEiHn/wuyYQIBFjIZTIQcQJX7hJnyVlZW4ijNMgC5x1GPfZKV9hJWlSvjnaHj4VTHFQDwNOkBzu7dimfPnqFKlSr6f6ioSHgOLd8MedwkgiAI+iwQFhaGefPmYerUqVi6dCn+/vtv1KtXD+Hh4dixY4fOU548fPgQtWrVQlRUFLy9vcXypUuXYteuXbhx40aBy+/ZswejRo3C4cOH0b17d7Hc3NwcO3bsUHs27XfffYeAgABkZGRobWvBggVYuHChRvnu3bthZWWl0/YQERERFUVaWhoGDx6MFy9ewMbGpsjt6N1T99VXX+Gbb75Bv379sHz5crHcy8sLM2bM0Lmd6tWrw9TUVKMH7fHjxxo9ba+LiIhAQEAA9u3bp5bQAYCjo6PebQYFBak9CUOhUMDZ2Rm+vr7F2rmkG6VSicjISPj4+EAqlRo7HNLiyZMnmDhlGl6m/+8fo/T0NCQ9eoyJK0PhmiVHVqP2uBrzO3YFz8GElWGo07AJAODqhXPlqqysxFFaZdcvnEVLa+C2aTU4N3Ir1j55dC8eP4QswobVK+Hq6lqETxoVBc+h5ZtSqcThw4cN0pbeSV1cXJw4KOFVMpkMqampOrdjbm4OT09PREZGon///mJ5ZGRkgZdw9+zZg5EjR2LPnj3o3bu3xvve3t6IjIxUu6/u+PHj6NChQ75tymQytXtC8kilUn5BShH3d9mVlpaGp4oUdPEfDzun2gCAW7EXsT90FVQ5/9/Zb2qGHEiQkZmJHIkJYJp7eilvZWUljtIsAwQIBtgngsQEWUolTE1N+V02Ap5DSe+kztXVFbGxsXBxcVEr//nnn+Hm5qZXW4GBgfD394eXlxe8vb2xefNmJCQkYNy4cQBye9AePHiAnTt3AshN6IYOHYp169ahffv2Yo+cpaUlbG1tAQBTpkxBp06dsGLFCvj5+eHw4cP45ZdfcPbsWX03lYheY+dUG44uuT0w8of3jBwNERG9Su+k7rPPPsPEiRORkZEBQRBw4cIF7NmzB8HBwdiyZYtebQ0aNAjJyclYtGgREhMT0bx5cxw9elRMGBMTE9XmrPv666+RnZ2NiRMnYuLEiWL5sGHDEB4eDgDo0KED9u7dizlz5mDu3LmoX78+IiIi0K5dO303lYiIiKjc0DupGzFiBLKzszFz5kzxxr5atWph3bp1+Oijj/QOYMKECZgwYYLW9/IStTwnT57Uqc0BAwZgwIABesdCREREVF4VaUqT0aNHY/To0Xjy5AlycnJQo0YNQ8dFRERERHoo1uTD1atXN1QcRERERFQMOiV1Hh4ekEgkOjX4xx9/FCsgIiIiItKfTkldv379xN8zMjIQGhoKNzc3cdLg8+fP4+rVq/neG0dEREREJUunpG7+/Pni76NGjcLkyZOxePFijTr37nGKAyIiIiJj0Pueun379uHSpUsa5Z988gm8vLywbds2gwRGRMYjl8vFZyADQHx8PLKzs40YERERFUbvpM7S0hJnz55Fw4YN1crPnj0LCwsLgwVGRMYhl8sxcsw4pLz6SLC0VDxMegSlMsuIkRERUUH0TuqmTp2K8ePHIyYmBu3btweQe0/dtm3bMG/ePIMHSESlS6FQICU9Q/sjwVQqI0dHRET50TupmzVrFurVq4d169Zh9+7dAICmTZsiPDwcAwcONHiARGQcfCQYEVH5UqR56gYOHMgEjoiIiKgMMTF2AERERERUfMV6ogQREdGrsrIyER8fr1ZmY2MDe3t7I0VE9OZgUkdERAaR8vwp4m7fwezFyyCTycRya0sLbNu8iYkdUQljUkdERAaRkZYKE6kUnf3Ho1bd+gCA5MT7OLkrDAqFgkkdUQkrclKXlZWFuLg41K9fH2ZmzA2JiCiXnWNNceQ0EZUevQdKpKWlISAgAFZWVmjWrBkSEhIAAJMnT8by5csNHiARERERFU7vpC4oKAhXrlzByZMn1Z4g0b17d0RERBg0OCIiIiLSjd7XTQ8dOoSIiAi0b98eEolELHdzc8Pt27cNGhwRERER6Ubvnjq5XI4aNWpolKempqoleURERERUevRO6tq0aYOffvpJfJ2XyH3zzTfw9vY2XGREREREpDO9L78GBwejZ8+euHbtGrKzs7Fu3TpcvXoV0dHROHXqVEnESERERESF0LunrkOHDjh37hzS0tJQv359HD9+HA4ODoiOjoanp2dJxEhEREREhSjSBHPu7u7YsWOHoWMhIiIioiLSKalTKBQ6N2hjY1PkYIiIiIioaHRK6qpUqaLzyFaVSlWsgIiIiIhIfzoldSdOnBB/v3v3LmbNmoXhw4eLo12jo6OxY8cOBAcHl0yURERERFQgnZK6zp07i78vWrQIa9aswccffyyW9e3bF+7u7ti8eTOGDRtm+CiJiIiIqEB6j36Njo6Gl5eXRrmXlxcuXLhgkKCIiIiISD96J3XOzs7YtGmTRvnXX38NZ2dngwRFRERERPrRe0qTtWvX4oMPPsCxY8fQvn17AMD58+dx+/Zt7N+/3+ABEhEREVHh9E7q3n33Xdy6dQuhoaG4ceMGBEGAn58fxo0bx546onJILperTVsUHx+P7OxsI0ZERERFUaTJh2vXro1ly5YZOhYiKmVyuRwjx4xDSnqGWJaeloqHSY+gVGYZMTIiItJXkZI6AEhLS0NCQgKystRP/C1atCh2UERUOhQKBVLSM9DFfzzsnGoDAG7FXsT+0FWcc5KIqJzRO6mTy+UYMWIEfv75Z63v8w8BUflj51Qbji6uAAD5w3tGjoYqmqysTMTHx6uV2djYwN7e3kgREVVMeid1U6dOxbNnz3D+/Hl07doVBw8exKNHj7BkyRKsXr26JGIkIqJyKuX5U8TdvoPZi5dBJpOJ5daWFti2eRMTOyID0jup++2333D48GG0adMGJiYmcHFxgY+PD2xsbBAcHIzevXuXRJxERFQOZaSlwkQqRWf/8ahVtz4AIDnxPk7uCoNCoWBSR2RAes9Tl5qaiho1agAAqlWrBrlcDgBwd3fHH3/8oXcAoaGhcHV1hYWFBTw9PXHmzJl86yYmJmLw4MFo3LgxTExMMHXqVI064eHhkEgkGj8ZGRmaDRIRUamwc6wJRxdXOLq4ivdvEpFh6Z3UNW7cGDdv3gQAtGrVCl9//TUePHiATZs2wcnJSa+2IiIiMHXqVMyePRuXL1/G22+/jV69eiEhIUFr/czMTNjb22P27Nlo2bJlvu3a2NggMTFR7cfCwkKv2IiIiIjKkyLdU5eYmAgAmD9/Pnr06IHvvvsO5ubmCA8P16utNWvWICAgAKNGjQIAhISE4NixYwgLC0NwcLBG/bp162LdunUAgG3btuXbrkQigaOjo16xEBEREZVneid1Q4YMEX/38PDA3bt3cePGDdSpUwfVq1fXuZ2srCzExMRg1qxZauW+vr6IiorSNyw1L1++hIuLC1QqFVq1aoXFixfDw8OjWG0SERERlWVFnqcuj5WVFVq3bq33ck+ePIFKpYKDg4NauYODA5KSkoocT5MmTRAeHg53d3coFAqsW7cOHTt2xJUrV9CwYUOty2RmZiIzM1N8nTe7vlKphFKpLHIspJu8fcx9XfpUKhXMpVJIhBxAlfsUCRMIsJDJYKJjmUTI+f/GsvVetiyWlZU4SrMMQIGfAUOvUyLkwFwqhUql4vfeAHgOLd8MedwkgiAIhVUKDAzUucE1a9boVO/hw4eoVasWoqKi4O3tLZYvXboUu3btwo0bNwpcvkuXLmjVqhVCQkIKrJeTk4PWrVujU6dOWL9+vdY6CxYswMKFCzXKd+/eDSsrq8I3hoiIiKiI0tLSMHjwYLx48QI2NjZFbkennrrLly+rvY6JiYFKpULjxo0BAP/88w9MTU3h6emp84qrV68OU1NTjV65x48fa/TeFYeJiQnatGmDW7du5VsnKChILXFVKBRwdnaGr69vsXYu6UapVCIyMhI+Pj6QSqXGDueNEhcXh0nTZ6Lv1HlwcHYBAFy9cA67gudgwsow1GnYpNCyiSs2or7qKbIatcfVmN/1WrYslpWVOEqr7PqFs2hpDdw2rQbnRm6lsk8e3YvHDyGLsGH1Sri6uurxiSVteA4t35RKJQ4fPmyQtnRK6k6cOCH+vmbNGlhbW2PHjh2oWrUqAODZs2cYMWIE3n77bZ1XbG5uDk9PT0RGRqJ///5ieWRkJPz8/HRupzCCICA2Nhbu7u751pHJZGqTYuaRSqX8gpQi7u/SIZfLxVsM7t+/j7T0dAgSE8A093SQAwkyMjORo2OZIPn/QfSmZnovWxbLykocpVkGCAV+Bgy9TkFigiylEqampvzOGxDPoaT3PXWrV6/G8ePHxYQOAKpWrYolS5bA19cX06dP17mtwMBA+Pv7w8vLC97e3ti8eTMSEhIwbtw4ALk9aA8ePMDOnTvFZWJjYwHkDoaQy+WIjY2Fubk53Nxy/8NcuHAh2rdvj4YNG0KhUGD9+vWIjY3Fxo0b9d1UogpHLpdj5JhxSEnPnbcxPS0VD5MeQanMKmRJIiIq6/RO6hQKBR49eoRmzZqplT9+/BgpKSl6tTVo0CAkJydj0aJFSExMRPPmzXH06FG4uOReBkpMTNSYs+7VUawxMTHYvXs3XFxccPfuXQDA8+fPMWbMGCQlJcHW1hYeHh44ffo02rZtq++mElU4CoUCKekZ6OI/HnZOtXEr9iL2h67iM5uJiCoAvZO6/v37Y8SIEVi9ejXat28PADh//jw+++wzvP/++3oHMGHCBEyYMEHre9rmvStsXMfatWuxdu1aveMgepPYOdWGo4sr5A/vGTsUekNlZWUiPj5erczGxoaPDSMqBr2Tuk2bNmHGjBn45JNPxGG4ZmZmCAgIwJdffmnwAImIqGJJef4UcbfvYPbiZWr3M1tbWmDb5k1M7IiKSO+kzsrKCqGhofjyyy9x+/ZtCIKABg0aoFKlSiURHxERVTAZaakwkUrR2X88atWtDwBITryPk7vCoFAomNQRFVGRJx+uVKkSWrRoYchYiIjoDWLnWBOOLpzShMhQdErq3n//fYSHh8PGxqbQ++YOHDhgkMCIiIiISHc6JXW2traQSCTi70RERERUtuiU1G3fvl3r70RERERUNpjou0B6ejrS0tLE1/Hx8QgJCcHx48cNGhgRERER6U7vpM7Pz098wsPz58/Rtm1brF69Gn5+fggLCzN4gERERERUOL2Tuj/++EN8xuv3338PR0dHxMfHY+fOnVi/fr3BAyQiIiKiwumd1KWlpcHa2hoAcPz4cbz//vswMTFB+/btNWYHJyIiIqLSoXdS16BBAxw6dAj37t3DsWPH4OvrCyD32a82NjYGD5CIiIiICqd3Ujdv3jzMmDEDdevWRbt27eDt7Q0gt9fOw8PD4AESERERUeH0fqLEgAED8NZbbyExMREtW7YUy7t164b+/fsbNDgiKh65XA6FQiG+jo+PR3Z2thEjIspfVlamxm08NjY2fGwYkY6K9JgwR0dHODo6qpW1bdvWIAERkWHI5XKMHDMOKekZYll6WioeJj2CUpllxMiINKU8f4q423cwe/EyyGQysdza0gLbNm9iYkekA72TutTUVCxfvhy//vorHj9+jJycHLX379y5Y7DgiKjoFAoFUtIz0MV/POycagMAbsVexP7QVVCpVEaOjkhdRloqTKRSdPYfj1p16wMAkhPv4+SuMCgUCiZ1RDrQO6kbNWoUTp06BX9/fzg5OYmPDyOissnOqbb40HT5w3tGjoaoYHaONcXPKxHpR++k7ueff8ZPP/2Ejh07lkQ8RERERFQEeo9+rVq1KqpVq1YSsRARERFREemd1C1evBjz5s1Te/4rERERERmX3pdfV69ejdu3b8PBwQF169aFVCpVe/+PP/4wWHBEREREpBu9k7p+/fqVQBhEREREVBx6J3Xz588viTiIiIiIqBj0vqcOAJ4/f44tW7YgKCgIT58+BZB72fXBgwcGDY6IiIiIdKN3T92ff/6J7t27w9bWFnfv3sXo0aNRrVo1HDx4EPHx8di5c2dJxElEREREBdC7py4wMBDDhw/HrVu3YGFhIZb36tULp0+fNmhwRERERKQbvZO6ixcvYuzYsRrltWrVQlJSkkGCIiIiIiL96J3UWVhYQKFQaJTfvHmTz+YjIiIiMhK9kzo/Pz8sWrQISqUSACCRSJCQkIBZs2bhgw8+MHiARERERFQ4vQdKrFq1Cu+++y5q1KiB9PR0dO7cGUlJSfD29sbSpUtLIkYi0oFcLlfrRY+Pj0d2drYRIyIiotKkd1JnY2ODs2fP4rfffsMff/yBnJwctG7dGt27dy+J+IhIB3K5HCPHjENKeoZYlp6WiodJj6BUZhkxMiIiKi16J3V53nnnHbzzzjuGjIWIikihUCAlPQNd/MfDzqk2AOBW7EXsD10FlUpl5OiIiKg06JXU5eTkIDw8HAcOHMDdu3chkUjg6uqKAQMGwN/fHxKJpKTiJCId2DnVhqOLKwBA/vCekaMhIqLSpPNACUEQ0LdvX4waNQoPHjyAu7s7mjVrhvj4eAwfPhz9+/cvyTiJiIiIqAA699SFh4fj9OnT+PXXX9G1a1e193777Tf069cPO3fuxNChQw0eJBEREREVTOeeuj179uCLL77QSOiA3PvrZs2ahe+++86gwRER0ZstKysT8fHxuH37tvgjl8uNHRZRmaRzT92ff/6JlStX5vt+r169sH79eoMERURElPL8KeJu38Hsxcsgk8nEcmtLC2zbvIkT3hO9RueeuqdPn8LBwSHf9x0cHPDs2TO9AwgNDYWrqyssLCzg6emJM2fO5Fs3MTERgwcPRuPGjWFiYoKpU6dqrbd//364ublBJpPBzc0NBw8e1DsuIiIyroy0VJhIpejsPx4fzFyKD2YuRRf/8UhJz9D6ZCOiN53OSZ1KpYKZWf4de6ampnpPdBoREYGpU6di9uzZuHz5Mt5++2306tULCQkJWutnZmbC3t4es2fPRsuWLbXWiY6OxqBBg+Dv748rV67A398fAwcOxO+//65XbEREVDbYOdaEo4srHF1cxSl7iEiTzpdfBUHA8OHD1brAX5WZman3ytesWYOAgACMGjUKABASEoJjx44hLCwMwcHBGvXr1q2LdevWAQC2bdumtc2QkBD4+PggKCgIABAUFIRTp04hJCQEe/bs0TtGIiIiovJA5566YcOGoUaNGrC1tdX6U6NGDb1GvmZlZSEmJga+vr5q5b6+voiKitJ9C14THR2t0WaPHj2K1SYRERFRWadzT9327dsNuuInT55ApVJp3Kfn4OCApKSkIreblJSkd5uZmZlqPY1592oolUoolcoix0K6ydvH3NdFp1KpYC6VQiLkAKrc2yBMIMBCJoNJAWW61CmsTCLk/H8QhmnP2GVlJY7SLANQ4GenLMUrEXJgLpVCpVLxnPH/eA4t3wx53CSCIAgGa00PDx8+RK1atRAVFQVvb2+xfOnSpdi1axdu3LhR4PJdunRBq1atEBISolZubm6OHTt24OOPPxbLvvvuOwQEBCAjIwPaLFiwAAsXLtQo3717N6ysrPTYKiIiIiL9pKWlYfDgwXjx4gVsbGyK3E6Rn/1aXNWrV4epqalGD9rjx48LHGVbGEdHR73bDAoKQmBgoPhaoVDA2dkZvr6+xdq5pBulUonIyEj4+PhAKpUaO5xyKS4uDpOmz0TfqfPg4OwCALh64Rx2Bc/BhJVhqNOwidYyXeoUVjZxxUbUVz1FVqP2uBrze7HbM3ZZWYmjtMquXziLltbAbdNqcG7kVub3yaN78fghZBE2rF4JV1fXgr4WbwyeQ8s3pVKJw4cPG6QtoyV15ubm8PT0RGRkpNojxiIjI+Hn51fkdr29vREZGYlp06aJZcePH0eHDh3yXUYmk2kdACKVSvkFKUXc30VnamqKLKUSgsQEMM39WudAgozMTOQUUKZLncLKBMn/35proPaMXVZW4ijNMkAo8LNTluIVJCbIUiphamrK88VreA4loyV1ABAYGAh/f394eXnB29sbmzdvRkJCAsaNGwcgtwftwYMH2Llzp7hMbGwsAODly5eQy+WIjY2Fubk53Nxy/8OcMmUKOnXqhBUrVsDPzw+HDx/GL7/8grNnz5b69hGVFLlcrjZPV3x8vN5TChERUcVi1KRu0KBBSE5OxqJFi5CYmIjmzZvj6NGjcHHJvXyUmJioMWedh4eH+HtMTAx2794NFxcX3L17FwDQoUMH7N27F3PmzMHcuXNRv359REREoF27dqW2XUQlSS6XY+SYcUhJ/989oulpqXiY9AhKZZYRIyMqHXmPDnuVjY0NnzBBbzyjJnUAMGHCBEyYMEHre+Hh4RpluozrGDBgAAYMGFDc0IjKJIVCgZT0DHTxHy9OxHor9iL2h66CSqUycnREJYuPDiPKn9GTOiIqGjun2nB0yb1RXP7wnpGjISodrz46rFbd+gCA5MT7OLkrDAqFgkkdvdGY1BERUbmT9+gwIvofnZ8oQURERERlF5M6IiIiogqASR0RERFRBcCkjoiIiKgCYFJHREREVAEwqSMiIiKqAJjUEREREVUATOqIiIiIKgBOPkxUxsnlcigUCvF1fHw8srOzjRgRUdnD58ESMakjKtPkcjlGjhmHlPQMsSw9LRUPkx5BqcwyYmREZQefB0uUi0kdURmmUCiQkp6BLv7jYedUGwBwK/Yi9oeugkqlMnJ0RGUDnwdLlItJHVE5YOdUW3zOpfzhPSNHQ1Q28Xmw9KbjQAkiIiKiCoBJHREREVEFwKSOiIiIqAJgUkdERERUAXCgBBERVUicu47eNEzqiIiowuHcdfQmYlJHREQVDueuozcRkzoiIqqwOHcdvUk4UIKIiIioAmBPHVEZIpfLoVAoxNfx8fHIzs42YkRERFReMKkjKiPkcjlGjhmHlPQMsSw9LRUPkx5BqcwyYmRERFQeMKkjKiMUCgVS0jPQxX887JxqAwBuxV7E/tBVUKlURo6OiIjKOiZ1RGWMnVNt8cZu+cN7Ro6GiIjKCw6UICIiIqoAmNQRERERVQBM6oiIiIgqAN5TR0REbww+D5YqMiZ1RET0RuDzYKmiY1JHZCScaJiodPF5sFTRMakjMgJONExkPHweLFVUTOqIjIATDRMRkaExqSMqBfldauVEw0REZChGn9IkNDQUrq6usLCwgKenJ86cOVNg/VOnTsHT0xMWFhaoV68eNm3apPZ+eHg4JBKJxk9GRkY+LRKVrLxLrQETJ4s/QQsWIT4hgZdaiYjIYIzaUxcREYGpU6ciNDQUHTt2xNdff41evXrh2rVrqFOnjkb9uLg4vPvuuxg9ejS+/fZbnDt3DhMmTIC9vT0++OADsZ6NjQ1u3ryptqyFhUWJbw+RNrzUSkREpcGoSd2aNWsQEBCAUaNGAQBCQkJw7NgxhIWFITg4WKP+pk2bUKdOHYSEhAAAmjZtikuXLmHVqlVqSZ1EIoGjo2OpbAORrniplYiISpLRLr9mZWUhJiYGvr6+auW+vr6IiorSukx0dLRG/R49euDSpUtQKpVi2cuXL+Hi4oLatWvjvffew+XLlw2/AURERERliNF66p48eQKVSgUHBwe1cgcHByQlJWldJikpSWv97OxsPHnyBE5OTmjSpAnCw8Ph7u4OhUKBdevWoWPHjrhy5QoaNmyotd3MzExkZmaKr/NuaFcqlWrJIpWMvH1cUfe1SqWCuVQKiZADqHLnoTOBAAuZDCZGLjNEWxIh5/831DDtGbusrMRRmmUACvx8lrV4DVkmEXJgLpVCpVKV23NQRT+HVnSGPG4SQRAEg7Wmh4cPH6JWrVqIioqCt7e3WL506VLs2rULN27c0FimUaNGGDFiBIKCgsSyc+fO4a233kJiYqLWS645OTlo3bo1OnXqhPXr12uNZcGCBVi4cKFG+e7du2FlZVWUzSMiIiLSSVpaGgYPHowXL17AxsamyO0YraeuevXqMDU11eiVe/z4sUZvXB5HR0et9c3MzGBnZ6d1GRMTE7Rp0wa3bt3KN5agoCAEBgaKrxUKBZydneHr61usnUu6USqViIyMhI+PD6RSqbHDMbi4uDhMmj4TfafOg4OzCwDg6oVz2BU8BxNWhqFOwyZGKzNEWxNXbER91VNkNWqPqzG/l4ntMvY+KU9l1y+cRUtr4LZpNTg3cnvj9smje/H4/svZmPvZDDg7OyOPtbU1qlevjvKgop9DKzqlUonDhw8bpC2jJXXm5ubw9PREZGQk+vfvL5ZHRkbCz89P6zLe3t44cuSIWtnx48fh5eWV7wdZEATExsbC3d0931hkMpnacwDzSKVSfkFKUUXZ36/PSXf//n2kpadDkJgAprlfuRxIkJGZiRwjlxmiLUHy/7fmGqg9Y5eVlThKswwQCvx8lrV4DVmmePEcN6/fxJwlweX+ebAV5RxKRWfU0a+BgYHw9/eHl5cXvL29sXnzZiQkJGDcuHEAcnvQHjx4gJ07dwIAxo0bhw0bNiAwMBCjR49GdHQ0tm7dij179ohtLly4EO3bt0fDhg2hUCiwfv16xMbGYuPGjUbZRnqz8PFfROULnwdLFYlRk7pBgwYhOTkZixYtQmJiIpo3b46jR4/CxSX3ElViYiISEhLE+q6urjh69CimTZuGjRs3ombNmli/fr3adCbPnz/HmDFjkJSUBFtbW3h4eOD06dNo27ZtqW8fvXk4Jx1R+cTnwVJFYPTHhE2YMAETJkzQ+l54eLhGWefOnfHHH3/k297atWuxdu1aQ4VHVCSck46IiEqb0R8TRkRERETFx6SOiIiIqAJgUkdERERUARj9njoiIqKyJisrE/Hx8eJrGxsbjoSlMo9JHRER0StSnj9F3O07mL14mTh3XXmct47ePEzqiIiIXvH63HXJifdxfGsI/vrrL3HKLYC9d1T2MKkjIiLSIm/uOm09dwB776jsYVJHVAyvPxIsPj4e2dnZRoyIiAyNT52g8oJJHVER8ZFgRG8WPnWCyjomdURFxEeCERFRWcKkjqiY+EgwIiIqC5jUEemI988R0aten8sO4IhYMi4mdUQ64P1zRPQqjoilsohJHZEOeP8cEb2KI2KpLGJSR6QH3j9HRK/iiFgqS0yMHQARERERFR+TOiIiIqIKgEkdERERUQXApI6IiIioAuBACXrjvT7/HMC5poiIqPxhUkdvNG3zzwGAuYkESxbMg52dHQBONExEuuGExGRMTOrojaZt/rmEm1fx7fK5mPL5F+KkopxomIgKk9+ExK//kwgw0aOSwaSOCJrzz70+qSgnGiaiwmibkFjbP4kAnzxBJYNJHVE+Xp1UlBMNE5GuXj938MkTVFqY1NEb59WBEbxXjohKA588QaWBSR29UV4fGMF75YiIqKJgUkdvlNcHRvBeOSIyBo6SpZLApI7eSHkDI3ivHBGVtvxGyXLwBBUXkzoiIqJSpG2ULAdPkCEwqaMKQ9uTIbKysmBubi6+5sAIIiorXh88wUuyVFxM6qhC0PZkiKysTNy7excu9erDzCz3o86BEURUFvGSLBkCkzqqELQ9GeJW7EXEh67CW4PHcBJhIirTeEmWDIFJHZVLr19qzbus+vqTIQBOIkxE5Ycul2Rfv62E/6RSHiZ1VO5ou9TKy6pEVNFouySr7bYSc6kUE0eNwJMnT+Dk5GTMkMnImNRRmaetV+5Zykt0H/Gp2qVWXlYloopE2yVZbbeVPEu8ByAH165dQ1pamrg8B1m8eZjUUZlWUK+cTfUavKxKRBWetltIXi1LfZ4M4CUWrVwFicREXI6DLN48JoVXKVmhoaFwdXWFhYUFPD09cebMmQLrnzp1Cp6enrCwsEC9evWwadMmjTr79++Hm5sbZDIZ3NzccPDgwZIKn0rYqwMgPpi5FB/MXIp2/YYgJyeHvXJERMjt0QOAtz4aJZ4nu/iPR/KLF/jrr79w+/Zt8Uculxs5WipJRu2pi4iIwNSpUxEaGoqOHTvi66+/Rq9evXDt2jXUqVNHo35cXBzeffddjB49Gt9++y3OnTuHCRMmwN7eHh988AEAIDo6GoMGDcLixYvRv39/HDx4EAMHDsTZs2fRrl270t7EN5K2+eK0XQbIq5eXnMXFxUGlUmmdV07bAAgiIvqfajUcxfNkflOkmJtIsGTBPNjZ2Yllrw+8AHjptrwyalK3Zs0aBAQEYNSoUQCAkJAQHDt2DGFhYQgODtaov2nTJtSpUwchISEAgKZNm+LSpUtYtWqVmNSFhITAx8cHQUFBAICgoCCcOnUKISEh2LNnT+lsWAWlS7Km7XIpoHkiSU5OxtyFi5GpyhFv8h0zeQpu/3OL88oRERWTtvvxEm5exbfL52LK518UOPAC0C35YzJY9hgtqcvKykJMTAxmzZqlVu7r64uoqCity0RHR8PX11etrEePHti6dSuUSiWkUimio6Mxbdo0jTp5iWB5pGvPlyHber3eq0nYq17/4msbxKDtRJKXrA2dHQyn2nWAl/fg0eMD3Pr3S84rR0RkIK/fj6fLwAtdkr/iJIPFLWPimD+jJXVPnjyBSqWCg4ODWrmDgwOSkpK0LpOUlKS1fnZ2tjiUO786+bUJAJmZmcjMzBRfv3jxAgDw9OlTKJVKvbZLH8+fPxfXlZ9nz57hy7XrkJWtntRITU0wM3AqqlatqvP6dG1LW730jHQ8fixHt49HoGr13P0rvx+PXyPCMS1oNmRSc7V6aSkKVLLOTQpTnz+FhaUlmnfpiWo1cofbP7jzDx4f+R6ZqSnIeKlAWloasjMzYG5mhuyMNGS8zF02r+zR3X+B7Nxj8eTeXYOVGbKt8lhmkLbi76BmVTM8uP5Xmdkuo++TclSWfD8BaS52ePTsDnL+/5+nN32flLft1+UYvlqm7Rz7all+5+zEh4lo+rYPqtVw0ngNaP+bkJWdhcSEe6jl4gIzU7NilwFF+/tnCLa2tqhSpYrB21UqleKoZUEQiteYYCQPHjwQAAhRUVFq5UuWLBEaN26sdZmGDRsKy5YtUys7e/asAEBITEwUBEEQpFKpsHv3brU63377rSCTyfKNZf78+QIA/vCHP/zhD3/4wx+j/dy7d68oKZXIaD111atXh6mpqUYP2uPHjzV62vI4OjpqrW9mZiZ29eZXJ782gdz77gIDA8XXOTk5ePr0Kezs7CCRSPTaLtKfQqGAs7Mz7t27BxsbG2OHQ3ri8SvfePzKPx7D8i3v+F27dg01a9YsVltGS+rMzc3h6emJyMhI9O/fXyyPjIyEn5+f1mW8vb1x5MgRtbLjx4/Dy8sLUqlUrBMZGal2X93x48fRoUOHfGORyWRqo4MAlEgXKxXMxsaGJ6RyjMevfOPxK/94DMu3WrVqwcSkeDPNGXX0a2BgIPz9/eHl5QVvb29s3rwZCQkJGDduHIDcHrQHDx5g586dAIBx48Zhw4YNCAwMxOjRoxEdHY2tW7eqjWqdMmUKOnXqhBUrVsDPzw+HDx/GL7/8grNnzxplG4mIiIhKg1GTukGDBiE5ORmLFi1CYmIimjdvjqNHj8LFxQUAkJiYiISEBLG+q6srjh49imnTpmHjxo2oWbMm1q9fL05nAgAdOnTA3r17MWfOHMydOxf169dHREQE56gjIiKiCk0iCMUdakFUPJmZmQgODkZQUJDGZXAq+3j8yjcev/KPx7B8M+TxY1JHREREVAEY/dmvRERERFR8TOqIiIiIKgAmdUREREQVAJM6Mprg4GC0adMG1tbWqFGjBvr164ebN28aOywqguDgYEgkEkydOtXYoZAeHjx4gE8++QR2dnawsrJCq1atEBMTY+ywSAfZ2dmYM2cOXF1dYWlpiXr16mHRokXIyckpfGEyitOnT6NPnz6oWbMmJBIJDh06pPa+IAhYsGABatasCUtLS3Tp0gVXr17Vax1M6shoTp06hYkTJ+L8+fOIjIxEdnY2fH19kZqaauzQSA8XL17E5s2b0aJFC2OHQnp49uwZOnbsCKlUip9//hnXrl3D6tWrOfF6ObFixQps2rQJGzZswPXr17Fy5Up8+eWX+Oqrr4wdGuUjNTUVLVu2xIYNG7S+v3LlSqxZswYbNmzAxYsX4ejoCB8fH6SkpOi8Do5+pTJDLpejRo0aOHXqFDp16mTscEgHL1++ROvWrREaGoolS5agVatWCAkJMXZYpINZs2bh3LlzOHPmjLFDoSJ477334ODggK1bt4plH3zwAaysrLBr1y4jRka6kEgkOHjwIPr16wcgt5euZs2amDp1Kj7//HMAuVOdODg4YMWKFRg7dqxO7bKnjsqMFy9eAACqVatm5EhIVxMnTkTv3r3RvXt3Y4dCevrhhx/g5eWFDz/8EDVq1ICHhwe++eYbY4dFOnrrrbfw66+/4p9//gEAXLlyBWfPnsW7775r5MioKOLi4pCUlARfX1+xTCaToXPnzoiKitK5HaM+UYIojyAICAwMxFtvvYXmzZsbOxzSwd69e/HHH3/g4sWLxg6FiuDOnTsICwtDYGAgvvjiC1y4cAGTJ0+GTCbD0KFDjR0eFeLzzz/Hixcv0KRJE5iamkKlUmHp0qX4+OOPjR0aFUFSUhIAwMHBQa3cwcEB8fHxOrfDpI7KhEmTJuHPP//kM3rLiXv37mHKlCk4fvw4LCwsjB0OFUFOTg68vLywbNkyAICHhweuXr2KsLAwJnXlQEREBL799lvs3r0bzZo1Q2xsLKZOnYqaNWti2LBhxg6Pikgikai9FgRBo6wgTOrI6D799FP88MMPOH36NGrXrm3scEgHMTExePz4MTw9PcUylUqF06dPY8OGDcjMzISpqakRI6TCODk5wc3NTa2sadOm2L9/v5EiIn189tlnmDVrFj766CMAgLu7O+Lj4xEcHMykrhxydHQEkNtj5+TkJJY/fvxYo/euILynjoxGEARMmjQJBw4cwG+//QZXV1djh0Q66tatG/766y/ExsaKP15eXhgyZAhiY2OZ0JUDHTt21JhC6J9//oGLi4uRIiJ9pKWlwcRE/U+4qakppzQpp1xdXeHo6IjIyEixLCsrC6dOnUKHDh10boc9dWQ0EydOxO7du3H48GFYW1uL9xTY2trC0tLSyNFRQaytrTXufaxUqRLs7Ox4T2Q5MW3aNHTo0AHLli3DwIEDceHCBWzevBmbN282dmikgz59+mDp0qWoU6cOmjVrhsuXL2PNmjUYOXKksUOjfLx8+RL//vuv+DouLg6xsbGoVq0a6tSpg6lTp2LZsmVo2LAhGjZsiGXLlsHKygqDBw/WfSUCkZEA0Pqzfft2Y4dGRdC5c2dhypQpxg6D9HDkyBGhefPmgkwmE5o0aSJs3rzZ2CGRjhQKhTBlyhShTp06goWFhVCvXj1h9uzZQmZmprFDo3ycOHFC69+8YcOGCYIgCDk5OcL8+fMFR0dHQSaTCZ06dRL++usvvdbBeeqIiIiIKgDeU0dERERUATCpIyIiIqoAmNQRERERVQBM6oiIiIgqACZ1RERERBUAkzoiIiKiCoBJHREREVEFwKSOiIiIqAJgUkdERtGlSxdMnTrV4O3WrVsXISEhBm+3LJFIJDh06FCx29m6dSt8fX2LH1AxzZgxA5MnTzZ2GETlHpM6IhINHz4cEokEEokEUqkU9erVw4wZM5Cammrs0OgViYmJ6NWrV7HayMzMxLx58zB37lyxbMGCBZBIJOjZs6dG/ZUrV0IikaBLly46tf/o0SNIpVJ8++23Wt8fO3YsWrRoAQCYOXMmtm/fjri4OP03hIhETOqISE3Pnj2RmJiIO3fuYMmSJQgNDcWMGTOK1JYgCMjOzjZwhBWTSqVCTk6OTnUdHR0hk8mKtb79+/ejcuXKePvtt9XKnZyccOLECdy/f1+tfPv27ahTp47O7Ts4OKB3797Yvn27xnvp6enYu3cvAgICAAA1atSAr68vNm3aVIQtIaI8TOqISI1MJoOjoyOcnZ0xePBgDBkyRLzUJwgCVq5ciXr16sHS0hItW7bE999/Ly578uRJSCQSHDt2DF5eXpDJZDhz5gxSU1MxdOhQVK5cGU5OTli9erXGer/99lt4eXnB2toajo6OGDx4MB4/flxgrI8fP0afPn1gaWkJV1dXfPfddxp1Xrx4gTFjxqBGjRqwsbHBO++8gytXrhTY7oMHDzBo0CBUrVoVdnZ28PPzw927d8X3hw8fjn79+mHVqlVwcnKCnZ0dJk6cCKVSKdbJysrCzJkzUatWLVSqVAnt2rXDyZMnxffDw8NRpUoV/Pjjj3Bzc4NMJkN8fDwSExPRu3dvcZt2796tcUn59cuvn3/+ORo1agQrKyvUq1cPc+fOVYtFm71796Jv374a5XkJ1o4dO8SyqKgoPHnyBL1799aov337djRt2hQWFhZo0qQJQkNDxfcCAgJw4sQJtX0HAN9//z0yMjLwySefiGV9+/bFnj17CoyZiArGpI6ICmRpaSkmCHPmzMH27dsRFhaGq1evYtq0afjkk09w6tQptWVmzpyJ4OBgXL9+HS1atMBnn32GEydO4ODBgzh+/DhOnjyJmJgYtWWysrKwePFiXLlyBYcOHUJcXByGDx9eYGzDhw/H3bt38dtvv+H7779HaGioWiIoCAJ69+6NpKQkHD16FDExMWjdujW6deuGp0+fam0zLS0NXbt2ReXKlXH69GmcPXsWlStXRs+ePZGVlSXWO3HiBG7fvo0TJ05gx44dCA8PR3h4uPj+iBEjcO7cOezduxd//vknPvzwQ/Ts2RO3bt1SW1dwcDC2bNmCq1evokaNGhg6dCgePnyIkydPYv/+/di8eXOhya21tTXCw8Nx7do1rFu3Dt988w3Wrl1b4DJnzpyBl5eX1vdGjhypti3btm3DkCFDYG5urlbvm2++wezZs7F06VJcv34dy5Ytw9y5c8WE8N1334Wjo6NaW3nt9evXD3Z2dmJZ27Ztce/ePcTHxxcYNxEVQCAi+n/Dhg0T/Pz8xNe///67YGdnJwwcOFB4+fKlYGFhIURFRaktExAQIHz88ceCIAjCiRMnBADCoUOHxPdTUlIEc3NzYe/evWJZcnKyYGlpKUyZMiXfWC5cuCAAEFJSUrS+f/PmTQGAcP78ebHs+vXrAgBh7dq1giAIwq+//irY2NgIGRkZasvWr19f+Prrr7W2u3XrVqFx48ZCTk6OWJaZmSlYWloKx44dEwQhdz+5uLgI2dnZYp0PP/xQGDRokCAIgvDvv/8KEolEePDggVrb3bp1E4KCggRBEITt27cLAITY2FiN+C9evCiW3bp1S22bBEEQAAgHDx7UGr8gCMLKlSsFT0/PfN9/9uyZAEA4ffq0Wvn8+fOFli1bCllZWUKNGjWEU6dOCS9fvhSsra2FK1euCFOmTBE6d+4s1nd2dhZ2796t1sbixYsFb29v8fXnn38uuLi4iPvzzp07gkQiEfdlnhcvXggAhJMnT+YbNxEVzMxYySQRlU0//vgjKleujOzsbCiVSvj5+eGrr77CtWvXkJGRAR8fH7X6WVlZ8PDwUCt7tQfo9u3byMrKgre3t1hWrVo1NG7cWG2Zy5cvY8GCBYiNjcXTp0/F+8sSEhLg5uamEef169dhZmamtq4mTZqgSpUq4uuYmBi8fPlSrUcIyL2n6/bt21q3PyYmBv/++y+sra3VyjMyMtSWadasGUxNTcXXTk5O+OuvvwAAf/zxBwRBQKNGjdTayMzMVIvF3NxcHCwAADdv3oSZmRlat24tljVo0ABVq1bVGmue77//HiEhIfj333/x8uVLZGdnw8bGJt/66enpAAALCwut70ulUnzyySfYvn077ty5g0aNGqnFCQByuRz37t1DQEAARo8eLZZnZ2fD1tZWfB0QEIAVK1bgt99+Q7du3bBt2zbUrl0b3bt3V2vP0tISQG7vJREVDZM6IlLTtWtXhIWFQSqVombNmpBKpQAgjkz86aefUKtWLbVlXr9pv1KlSuLvgiAUus7U1FT4+vrC19cX3377Lezt7ZGQkIAePXqoXfJ8VV67Eokk33ZzcnLg5OSkdi9bnleTv9eX8fT01Hp/nr29vfh73n7JI5FIxEQ0JycHpqamiImJUUv8AKBy5cri75aWlmrx57evCtqH58+fx0cffYSFCxeiR48esLW1xd69e7Xet5jHzs4OEokEz549y7fOyJEj0a5dO/z9998YOXKkxvt52/rNN9+gXbt2au+9us0NGzbE22+/je3bt6Nr167YsWMHRowYARMT9bt/8i6Hv7qPiUg/TOqISE2lSpXQoEEDjfK8m/kTEhLQuXNnndtr0KABpFIpzp8/L46efPbsGf755x+xnRs3buDJkydYvnw5nJ2dAQCXLl0qsN2mTZsiOzsbly5dQtu2bQHk9nQ9f/5crNO6dWskJSXBzMwMdevW1Sne1q1bIyIiQhxYURQeHh5QqVR4/PixxujSgjRp0gTZ2dm4fPkyPD09AQD//vuv2ja97ty5c3BxccHs2bPFssLuSzM3N4ebmxuuXbuW7zx1zZo1Q7NmzfDnn39i8ODBGu87ODigVq1auHPnDoYMGVLg+gICAjB+/Hj4+fnh/v37GDFihEadv//+G1KpFM2aNSuwLSLKHwdKEJFOrK2tMWPGDEybNg07duzA7du3cfnyZWzcuFFtpOTrKleujICAAHz22Wf49ddf8ffff2P48OFqPTV16tSBubk5vvrqK9y5cwc//PADFi9eXGA8jRs3Rs+ePTF69Gj8/vvviImJwahRo8TLeADQvXt3eHt7o1+/fjh27Bju3r2LqKgozJkzJ9+kcciQIahevTr8/Pxw5swZxMXF4dSpU5gyZYrGNB/5adSoEYYMGYKhQ4fiwIEDiIuLw8WLF7FixQocPXo03+WaNGmC7t27Y8yYMbhw4QIuX76MMWPGaPTovapBgwZISEjA3r17cfv2baxfvx4HDx4sNMYePXrg7NmzBdb57bffkJiYmG+v5oIFCxAcHIx169bhn3/+wV9//YXt27djzZo1avU+/PBDSKVSjB07Ft26ddOaYJ85cwZvv/222vEjIv0wqSMinS1evBjz5s1DcHAwmjZtih49euDIkSNwdXUtcLkvv/wSnTp1Qt++fdG9e3e89dZbYk8UkHvJLTw8HPv27YObmxuWL1+OVatWFRrP9u3b4ezsjM6dO+P9998Xpy7JI5FIcPToUXTq1AkjR45Eo0aN8NFHH+Hu3btwcHDQ2qaVlRVOnz6NOnXq4P3330fTpk0xcuRIpKen69Vzt337dgwdOhTTp09H48aN0bdvX/z+++9iT2R+du7cCQcHB3Tq1An9+/fH6NGjYW1tne/9b35+fpg2bRomTZqEVq1aISoqSm1C4fyMHj0aR48exYsXL/KtU6lSpXwTOgAYNWoUtmzZgvDwcLi7u6Nz584IDw/X+DxYWVnho48+wrNnz7ReygWAPXv2qN2bR0T6kwi63PBCRERGcf/+fTg7O+OXX35Bt27dDNr2wIED4eHhgaCgIIO2q6+ffvoJn332Gf7880+YmfGuIKKiYk8dEVEZ8ttvv+GHH35AXFwcoqKi8NFHH6Fu3bro1KmTwdf15Zdfqg3cMJbU1FRs376dCR1RMbGnjoioDDl27BimT5+OO3fuwNraGh06dEBISAhcXFyMHRoRlXFM6oiIiIgqAF5+JSIiIqoAmNQRERERVQBM6oiIiIgqACZ1RERERBUAkzoiIiKiCoBJHREREVEFwKSOiIiIqAJgUkdERERUATCpIyIiIqoA/g/NRkhNOAMFBgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parâmetros da simulação\n",
    "N = 100000  # número de múons simulados\n",
    "thickness_cm = 2.5\n",
    "density = 1.02  # g/cm³ (plástico)\n",
    "X = thickness_cm * density  # espessura mássica (g/cm²)\n",
    "\n",
    "# Perda média de energia (estimada)\n",
    "mean_loss = 2.0 * X  # MeV\n",
    "sigma = 0.2 * mean_loss  # desvio padrão (flutuação estatística)\n",
    "\n",
    "# Simulação com distribuição gaussiana\n",
    "dE = np.random.normal(loc=mean_loss, scale=sigma, size=N)\n",
    "\n",
    "# Remover valores negativos que não fazem sentido fisicamente\n",
    "dE = dE[dE > 0]\n",
    "\n",
    "# Gráfico\n",
    "plt.hist(dE, bins=100, density=True, alpha=0.7, color='skyblue', edgecolor='black')\n",
    "plt.xlabel('Perda de energia (MeV)')\n",
    "plt.ylabel('Densidade de probabilidade')\n",
    "plt.title('Simulação da perda de energia de múons (distribuição Gaussiana)')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b654a50d-a115-46d4-a416-8192915d76e7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
