{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "block_hidden": true,
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%load_ext rpy2.ipython\n",
    "%matplotlib inline\n",
    "from fbprophet import Prophet\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import logging\n",
    "logging.getLogger('fbprophet').setLevel(logging.ERROR)\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "block_hidden": true,
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%R\n",
    "library(prophet)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By default Prophet fits additive seasonalities, meaning the effect of the seasonality is added to the trend to get the forecast. This time series of the number of air passengers is an example of when additive seasonality does not work:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Initial log joint probability = -2.46502\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: absolute parameter change was below tolerance\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0GXM4rAbSQTM57oxNJLh0+hhr5jZzVGOgOpJKcXgjUZefnVcuea5uXqQKOBYuXNjW1nbb\nbbf19vYuXrx44cKFDofjwQcfNJvNVVVVKXclGgMAAIDxMrbnm7Apm0hL1US3X7QJ5oEKHAGOlMuM\nyvQrA41lGgOlUBFyV+a80bTviY0eLojJ6tCZsVRb3+G5wAOecJ2RUsgKK/9JqiUVhULxq1/9KvmR\nG2+8MfnZ5LsAAADAiDn8zEnV+uRHLFqia9QlMVLiA5t3IDIYZpdvlZ7s9KUPIDJFYDZvZGFlrhtS\nMqk1ku1JR7g190bqiwouJwwKfwEAAJiohKu4g2ZTqn9a1Lg7IHIKXS5rH1Y9afMxKJ8JnuG32ubI\nqqf6wlE/M5DD0dwXajAVXLY1BBwAAAAmMJ7nuwJsxeBrtkWDu0d6dmumWMHui2Rd+7DqiLQlMTLx\nM7EAG0t7OEteCDlWrsUTaRzNnvDUYuUo2xQdBBwAAAAkJ11KhzvI4TIsJbWiVENIMcNRmW0qwmqg\nMp2jllaHN1KuI0VJtqgxKtv6IgghOhL1hKK16Y60HV8QcAAAAJjAHHTq9AYSin6Kd3arwEZnX1Kp\nNpCdPobP+QS3YdZT8q0HX2MgO3wRhNABT6TaQBLywsoYRdIljQIAADhijekWFT8jLEkcU6ELBgdK\nje1y+rlY3MfE9KR82K/OlZ+JBZhY2ZBzYlNY1HicR73haIlq0OU1Y8bo6LaoJKsxUG8d6EMIHewL\nNxQVXAIHghkOAAAAE5qDZis0qddsOYaVqAkRz4zt9EXKtASebdoAw7BKPdGZcxqHzcdU6UebwCHM\nhdQYSWFnbLMn3JC0RWVupX5O+Wh3wYgCAg4AAAATmINm0iZdmjW4W6TD4tFAZJBlKkK48Ft1VO4b\nVXJpNkeVOjLIxfvD0QOecIOp4DJGESypAAAAkIIvEtvS5g2wMT8TK1YpVs0sEb2LQ+fEckNzOJDY\nZ8bafGzWIhyC6kO5FFlF47zLz45+T6xAIcOq9OS33cHuAFtnGpjhSIxWOMhelI5GDGY4AAAAiO+D\nVu/r33m8kWgc8c9/0yNRLzzPu/xMhRYf+lSpBncH896oMlyyRW6RQZWe7PTmtFHFSbMaUq6jRPvk\nX2OgNrd4q/QUpUhzcc83C1V0MMMBAABAfA4/s6RWf+kcCxfjX9vXF+QkObKxOxiVyzCjMk3AYVYT\nzR6fWB3ZfMz5uU3SVA/ZGZscxAS52Et7en/caFbIsEQQI1YoUGMk//1195JaffaXjgeY4QAAACA+\nu2/gQDVcjpkohehVMQRCAgeGpblml2rwrgCHxNgyM7D2kVuyRYWWoCOHi36meOpL94t7eh7Z7kQI\n2cQ4ti1ZrYGKxvn6ooEEjnGf0kgBAQcAABxZpF7LHyg37j9cHsOixd0BTop+h1npsGiIkSWNhrh4\n++BtJm/s95TriBx32OJyrFRDdKZL49jXE/qg1fvns+p3uwMv7unp9DGVenHKcyWOcEMITS3IPbEI\nAg4AADhyJI5El1o0zrsDXMWhzSMWNTHiQuPDs9Ppq382lmlK1HiE4zPNNAxja7vvZ28e/NxOC3f3\n9YT+uav79pOsubdQbaCENI7kNzwa5x/61HH5MZY6I3XvqTUv7un9zO4Xd4ajXIsvqNA2FN6xbQII\nOAAAAIjM5We1hExLDEwJWEaUv5kLu4/NVG5cIcOKVIquHAKdlCDM4WenFinv32r/uIOmI9F7Pur8\n6YLSKSYK5bBIMbAz1kB20qn9vvxtLyWXnTPNhBCq0pPrTq4KsbFqg5gBB4Zh9y+rETJGC209BUHA\nAQAARyCp5znsNFuR9Nndoibc/jxOGMmF8C3YaaYy8yRBuZZwZtsZK7ST/IY4aebUKYa7llb/4RP7\nLe+2HVOqOXOqKa+x1Rmp1r5w8iPdAe753d03Lq7AsIHSYXPKNC+ePz1r6dLJBAIOAAAYN9Fo9Oab\nby4pKTn//PN37NghaV9jWYbBQTMVSZdSi1aSGQ4uxrsDXGXmo1ateirHHarJHDRbriUbS9X3nlpd\npiVuWFiebwt1Jqqlb1AOx06nf45FM8U0aLFDT4lTdn2igIADAADGzcaNG//1r38hhLZs2bJixYrx\nHo5oHH6mUnf44mpR41LsUnH4GT0l1xAZL9vCUWoot2ArkW/hDDBC9slMi/rOJdVkupoWw7PqyXA0\n7gkf/pYPeMINRemrf4q19lGAaygpIOAAAIBx09HRkXw3FpOkWMXYs/vY5IkHi4bwMdFIND7iBpMj\nhkRkkOgl07XWqifT7hZJ26ygPxxlo7xZnaawR+5kGFZtIJMnOQ5mDjiOHBBwAADAuFm2bFni9g9/\n+EO5fMLPsR/aE8tUJJ1JRilkOkLeM7pVFSHOSA4R7Nmqf1oNpM3HxHM/LR4hB82UaQkZNtqz3euN\nVItnII0jxvNt/UxD8dhtHinM2Q6oNAoAAONm/vz5b7755uuvv15VVXX55ZeP93DEwcTiPcFouXZQ\nKGDREO4g1+QKiHgttNNZinEVq3BcJusKsCmDEaRdZ3H62YrMSSG5EE4tqTMp93QHhUc6vYwSlxWl\nK4d6RIGAAwAAxgHP8z09PUVFRQsXLly4cOF4D0dMLj9npOQqfNAMumUUR6kNc77J4qqMB68LF36r\nnuz0pg840nL62YoML84rVJpiUr7+nUe43ewJTz3i11MQLKkAAMDYczgc55133owZM0pLS7/++uvx\nHo7I7D5m6CSBFKU47L5IpiIcCdZ88kYRQk6aFWWr6hQj5aDZMBdHCB30RMYmgaMwV1ISIOAAAICx\n9sgjj2zdulW4/cc//nEMehzTPbF+pkJ3+Hh04SooerHRABvzM/GswYHVkCVvNIXDnyZaGgEVIbNo\n8HZfBCHU3BeqH8PqnwUbdkDAAQAAY62/vz9xOxqNjssYpAtBHD4mZfNIY5lG9BkOG82UaghcniW7\ns1pPdfSnKcWR6dt30nmsvwxviolq8UR4HrX0Z5zhKNjgQAoQcAAAwFi74IILEreXLFkyjiORgj1d\n3qVFQ7hHmsORvhcfW6Ufbk+swGogOuhIjvtU6Eg0xMUsGnGyO+uMypa+iMPPyhBmUR9BFUUzgaRR\nAAAYa8uWLXv//fc//fTTWbNmHX/88eM9HNEM7In1HT4nNsGiwT3haDSexw7V4dnp7AkcCKEyDRGL\nob4Il8smEUeALdUSCtlo98QK+ar1JurFPb3NnlCDSTnqbbaTAQQcAAAwDmbPnj179uyx7zfO810B\nVoPLdZQkf/8j0XhfJFoxJLVCQ8hVCll3kBVrZ6ydZhst6qwvwzCsUk909DO5BBwumi3TpJ+KGMGY\n60xUa3+42ROekpTAkWhnLLNqCgQsqQAAwKTF83xbW1tvby9C6O3m/jWvNa/497erX21+YodLoh4d\nNFuslJMK2dArdKl2JAXOM12Y7TQzfBGOBKueynGjioNOMzczYhY1IcewbR10IoFjDDI2CjkpBAIO\nAACYnFiWXb169bHHHjt9+vQXnnpia7t3aZ1+w6ppd5xidYmaTpHM4WfLM1yzRdyowvPIkflg+oSB\nw+L1ZMfgI9wGlytl32vxCredfqY83RaVkV3FMQzVmSiXn603pdmiUsiRgUQg4AAAgMlp06ZNb731\nlnB7/aO/7/QyC8q1RqVCipIYCQ5fJNO2UrN4/faGOB6hYlVO2Z3D74x94gvn7z+2v3uwHyHkOFT1\nK7GbF40uMphioiiFTJiJGdrOkRZzQA4HAABMTqFQ6PAdBdEb4oQpAYua8ITEzN9M5vCzVn36mhMW\nNd7an0dJjGHYfEyljsgxEzNxZuxQ37iD3/WGHji95q4tnQalwkEPKsIx+oCgwaQ8UBQZ/ckskwPM\ncAAAwOS0fPnyxO1F5/zIQClUhAwhpCXllALrDXFS5C3aDxXhGKpUS4xshoOJxrnY4fCIjkT/8oVz\nUZUO5RYTVOpIOhKlI2nqnTy1y33xbPMxZZrbTq6670Obn4mXZkgazZcwsKV1ht+cXCVKg5MAzHAA\nAMC4SVzypZhdNxqNLS0t7733Xl+cZCrmBPb1Jp4yq3F3gBPr4io4dE4smykN4kBvuDvACa/M6/v9\n646unU7/dceVH1epDXKxtZvbp5vVl82x5PjlChlWriM7aXbm4I05223+niB79lFFCKFjK7TXHlf2\n0re9uBwT8f9CIcNMua37HAkg4AAAgPExBhsjdTrdypUrm1yBF3b3VCatdFg0pDvAIpR9W2leQmzc\nF4llqtRp0RA9QTbG8/KclxiEt6jDF5lTpvnjJ/YZZrUnzFXqyZsWlee1TFFtoDq8kZlmVeI953n+\n6V1dlzZaErVKT683nl5vzKNRkCdYUgEAgMnPTrPJKx0WzUh2qGbvxc+Y1TiRody4npKrCLmTzr5R\nJSUUs/uYHx5d/PTKqUUqRaWO/NWJlVjO4YYwXVFnpFr6BqWPbGn3RXn+9HpDju2M0pGWH5oWzHAA\nAMDkZ/dFFiWd5G7R4Daf+DtjE0mXma6vVgPV6ctSP0OINhIxR4iNeyOxci1ByLHrjisf2cDqjNTL\n3/YkP/KF3X9mvRHSOccSzHAAAMBkJly5U2Y4zGq8OyhmwDHQS7qi5smqdUSnN7+NKjZ6uFmTHNWZ\nyLZ+JvlElWZPZGqxajRtgnxBwAEAAJNckIvRTKwsKbXCoh7tUWrJqx6J21nPdhdmOHJsVmDLvO0l\nd2Uaksd496EYi4nG7b7IlHT1uEQEyygpIOAAAIDxJ2kCqc3HWjSDJgksWrw7xOV4hupQiVUP4V/i\ncYePHT44qDYMFP3M/fu100yVIf2sSe5XdAxDNQYqUQXkYF+4VEtoCHmOXw5EAQEHAABMcg6aSakC\nbqJwhFB/JCpuoGP3M5UZqn4JqvVUh4/hM0Q6aQdjHzL4kakzUm19A5MrzZ5I/aHzTVJIMS0BUx0C\nCDgAAGAcjOVhoSkFNBFCGIbMatwtahoHHYmG2JhFPVzZiRI1LsdQXuW/bDRTNbqAI7FRpdUbFh45\n2BdpMKUPOIB0IOAAAIBJzp7unDOzmuj2i7kz1uFnS7WEQpYxu7OxTINhqGrIUWrD4HnkpLMf0paL\nOpOy9dDO2Oa+UD0EHGMOAg4AAJjk7DRTOWQnqg5jX3j5P7f97IpnnnlGpF4On3w2zMuGnt0qSDvl\n0xuOxuOoRC1CBYc6A+WkGSYaj8b5jn6mIcOSirhgMSUZ1OEAAIBBwuFwR0dHTU0NRUm7i2EMDOxW\n9Q9s9Ehc/5pcgYNffOjo7Ucff/jFxx9WVVWdeuqpo+zLQTMV+uzbSaoPbVTJpcC53Rep1BO5l/ka\nhoqQlaiJdi+DIWRSKfQUZIyONZjhAACAw77++mur1XriiSdWVVV988034z0cEfSFOC7GmwenVkQ5\nzrHnC6QbOI5k586duTeYKfvEcWiGY3jDHxafwuZLMzcjGMHkQZ2Rau0LN/eFIYFjXEDAAQAAhz36\n6KOJ24888shYdi1RGqmw0pFSUlOB49Oqy5GuRLi7YMGC0Xc0dC9MWtV6qt0byXFHrj3bPtscDeSN\nmqi2fuZgX3gsEzhgVSUBllQAAOCwaDSa9rYUXt3riSPepFSUqImjS5QSldm2+9mh5cYbyzRXX3Xl\nLVs9c084ZfGSZUuXLhWjoyxVvwRlWjwa4z1hrjiHY1TtNLOkTrTjTmqN1Bvfedgof3GjLvFg8jKT\nWB2BtCDgAACAwy688MJNmzYJty+66CKJemlyBZho/C87XKfV6fvC0X29odtPqjquUpf9K/Nn90XS\nTjxMr7PGP/Hf+vB6LSlCNkN/OMpGeYsmewwhw7AqPdnpZZIDjuSL/d7uEIXL6owUEiqyp8sLGdm0\nQZ2Rau2LsDG+oShNdg5MRUitEAMOpXIyrK7JZDKSJBWKQnyHx5FCoZDL5fF4fLwHUlgUCgWGYZPj\nJ19EGIaN/W/QeeedN2vWrF27ds2fP7+hoUGiXkiSc4TCRkqx7rR6hNCd77f2hHmSJHP5GZDJZLn/\ntJAk5wpEF1cbhjauVnLFaryfRcW6nPpNbnPog939XIWOVFIUGvZvuPC1tSaVIxBbRJLf9XHHVOiS\n24zz/IOfHPBFoo+dPc2qp7qCbH2xjhwcEglfMpRCoRi+67piguN5NSmvMGqGbx4HS90AACAASURB\nVGoykclkBEHI5RImyWaq5JaiEC+H4XB4vIcgApIkGYbhOPEPgJ7QKIriOC4Wi433QAoLhmEYhk2O\nn3wRYRhGUdTYvy1Wq9VqtSIp/xYxDNPeGyjX4gzDIIRKlHKHL8wwTC49KhQKkiRzHBvDMDZvxDJN\nNrRxhmFK1Li9P2jVyvP6ToUxp2jrDVRoCYZhGss0w7Q2zYQ3uQKVWry1L8AwenToTU60+XGHDyF0\n5fyyG9/cf/3Ccj0px1GUYaLJ0w+Z2pfJZMN0LXRRrScNlCLR3ZHwS0cQBMuyLCv+4cDJNJrs80OF\nGHAAAMCk5/Kz5YdWOko1xJdO8RMImlwBnhc6Sp9aUarG3QFxPhS19Icz9TJUtYHcleH73fht76oZ\nxSsajGEudv9W2/QSkaf96k1Ko3LgwgdrKGMMAg4AAED9/f0PPfTQ1/sOLDr5tO+ddxGS/mqUvIm0\nVEu4A5J8AO0NRxGGipTpUyssaiLf6uZDMytjPP/Ul10ftHrvP602x0aq9VTHoUPqkxvc0x3q8rOn\nTTEihH54dHEsjrgYj0T6v2gs0zS5AtccWyZRci7ICgIOAABAa9eufeWVVxBCn330gUqjWXLG96Xu\n0RVgZpWqhNsWNd6Vz/EiuXPSTLmWyHSFNWvwkc2srN3cFuLix5RqZlhUL+zu4aL8X7/fUDLsKSrJ\nynVEkIt7I1EDNegatHF3z7lHFyVOtT1/ZvEIxjY8SgHFIMYNvPUAAICEaEPwzc7Px6DH5BkOi4bw\nM9EQFxd9Z6Yj3Z7YhFIN4fKzKNuO0JQz6OM8/01X8Ix6o5+N/XWHq85IPbyiLvdoAyGkkGGVOqKt\nf1D5r04v87U78P2jinJvZzRgPWXswQwHAACgFStWvP3228Lt+mkzJO2ryRWIxvnuAFuuHUh6IOSY\nUYm7A2ytUeRi6sIMR9qnGss0PUHORjM8z+dSOzwRc7j8HC6TrZhqGs3A6ozK1v7IMUlX/Zf39pxZ\nb9ISUHF80oKAAwAA0L333kuSpKOnv37ajDNXni91d+4gp8LlyQUwSjV4V4ATPeBw0Oy88owf5YtV\nuFyGugJcWYagBKWb/Oj0MVbDyI9vFXIpakxk++Aj3L50BtadUj3iZkHhg4ADAABQVVXVk08+OWa1\nJh00k7Knw6IWM2808Y04/czZ+oxTERiGrDqyw8sME3AM1eGNVBvSB0a5r1PUGpSfdtCJuz4m5glF\nRY+3QEGBgAMAABAa28rWziHnnFk0uHsUeaOZBu/ysxWa4WYjaoxUhy+ysEqbe1+dPqYmQ8CRu1oj\n2e49vJrT7AlXG8lEumgyEZMthMkVsVoD+YKkUQAAGGsuP1umG5RlaVETXX6Rd8b2hTguzpeoh/tg\nadVTnd40hbwEaS/PHd5I9SiWVAQWNSGToa5DVUCae0NTi1SjbDN3kDE6LiDgAACANCT9KOzwM+WD\nZzhKtbjopTgcfq5cSw6fEFptINq9EZTz98vzyOZjRh9wYBiqMVCJjSoH+yL1JlhPmeQg4AAAgLHm\n9LMVgw9UK9UQQikOEQMdB81UaDPuiRVUG6hOH5PjYfEIoZ4gF+ORJZ9NsJnUGqi2/oHJlWZPpGEM\nj4wH4wJyOAAAYIzwPP/Q+uf27f7KWbaybPBKR6IUhwoX4XPgrs8++XTLu7aK461Tpw//SouaQAh1\nB7mhB72mX0/xRaz6LLMmWQm5FLVGand3ECEU5GLuAFMHMxyTHcxwAADAGHnyySd/d9svXn/rnSjH\nvv/SPxvLNIl/hBwzUgpRVlW++uLT//vJj1/b8K8v9x3c//G7w7yysUyDYahKT3b4IsO8LFmnGOsp\ngjrjwJLKAU+4Sk9BDdBJD/6DAQBgjGzduhUhhIxlyNvVtGN7yrMWDdE1oqPUUqYiPvvog4FbhrK9\nH/0365dX68mO/lwDjg5vJFMRjnwzMWuNlMPHsDG+uTfSUDRG0xtCeDc2fYEUEHAAAAra119/feGF\nF5aUlKxbty4ej0vUy9jsljSbzQghpC9FXpfemFoeo1QjTimOsoqqgVuG8tlTrFlfX22gOnzZC5wL\nOnxstV6c4EBLyg0UbvMyB/vC9UWHEziSYwIIDiYTyOEAABSibdu2/eUvf8EwbPPmzcIjTzzxxKxZ\ns1atWjW+AxuNW2+9td3V8zFbWqEnV1/+y5RnR1mKI+GsVRc379vzv3c3YwT1k6vWZH291UB+0kmn\nPJgp+LD5GKtenCUVhFCtkWz1Rpo94bOOSg2/oGbG5AMBBwCg4ASDwZUrVw59vKWlRbpOXX527btt\nwhSKlpQ/tmKK6F2YzeY7H/7r3Vs65pZri82pl9iA/cCnrb2u5zf/5lc3z5kzZ8S9KHD8lnse/N71\nod9/bJs246iskwQ1BrLDF+F5lCkT9Bt3sMGkVOKy/nA0xMZSaqSORp2J2tsdctJMvTHNFhWY3phk\nYEkFAFBwbDZb2seXLl0qXacH+8JaUn7HKdY7TrHaaaZHgvPihY/sjqRj2xLaWw689dSjfSz28Xub\nli1bxjAZi3FlwvP8K889/evr1/z1D/cF/LRjyM7bTJSsn2G4tb/8xdv/eWHos342duu77b/a3BZg\nYx3eSKWOkI9ui4pACCZqDNRHHb5SDaEiZMmPg0kJZjgAAAWnrq4u+e7VV1/t9/vPPffcY489VrpO\nHTRbZ6SmFikRQqVqoivINrkCUlz/XDQ7dJKAdbUgnxvpLcLdjo6OqVOn5tXsplc3/uWBuxFCCH3g\n6+8rXfV/OZ6Q8vhv18Usy7880PHl5tdm1ZSeddZZyc9ubumfaVEZlYpfbmpbbNUJp6gk3hYhhBrx\nu1RrpOhIdG6ZfmRfDiYWCDgAAAWHIIjt27c//vjjDMNcfvnlCxcuHINOk6cELBrc7edQqfi99IW4\naJw3q/GUi/ScOXOQvwdRGkQoERuuqanJt+Xdu3Ykbm9+85Wly2+cXpxTsfCtm99BZ05HxVbU8dX2\n7dtTAo7/7u9fPdeyuEr7yHbnv5vclzSak58dZUBWbaBkGNZQBCW/jgiwpAIAKET19fWPPfbYP//5\nz4ULF45N8qCDZioOTTxYNIQ7KHKhcUGnjynXErIhqxINDQ33PPwXnAvNP+O8v238L0HkmieReHPq\np89IPLjw+xft7wnlkmzRWKZZdPKpqM+GTFUIIWP1UU2uQKLNb9zBIBtbWKXFMOzGRRVXzLUsrNTl\nOLBcEHKsxkBOL1ElBiNi46DQwAwHAKBwfeWgR5DNkC/h+uqk2cT5JhY13ppzaYq82Hxspl0ei04+\ntSHYcs4Zt0zJ5+zWhHMuvMTT7f7O7vZYF39dNP20ck1jqTqXL7x27W/8/9jYYZz1g2tuPO2sHyQ/\n9db+vjOnGoWkDQxDF88yZ2hj5P58Vj2e7pBYMPlAwAEAmAAkSqdIYKJxTziamOEo1RLb7X4pOrL5\nmKrMdSxK1SMpxcHG+LWb21w00190FlaMltUZftRoGVqqPGOnFVW33Hj9tW8evPTi05Mf9zGxTzrp\nZ36QXypJviDaOHJAwAEAAMjpZ02UIlFd2yJSDa5kwjyKjWZOrTNkek2lnrT5ss/ofGnz1iZNXth8\njM3HPHB6rYFSGCl58kEnOUZpZRqci/E9oWiJ6vBF4X/N/XPL1CVinNOWVkqlDVhPmfQghwMAAJCD\nZiuSMh4sGqI3yMVyP0Q1ZzYfU5W5cJZVT3Z6GTRs0c+vnf6UF9h8TI2eqjNSJqViZMeqyTDMaiDb\n+8PJD/53v2doPS4ARgwCDgAAQA4/U55UtUJPygmFTMRSHEJ8wMTi3UGuKnN5DKuB7KCHm+FIjjMS\n2Z02H1M16gPVagxke1LaSneA84SjCyrSZJPAVAQYGQg4AAAFaiwrWztopnLwng6LmugOcCMeQ9ov\ntPtYk1KRKHKVorFMU6kjveFogI3l1ZfNxwwTxGQlBBDVBqojaTXngCdUb6KG7qYBYMQg4AAAAOT0\nc+WDr9kWDd41ujSORMyRuJFYT8k0SUDIsVINYcswyZEp+ukcdpkmR7VGsi1phqPZE2kohvIYQEwQ\ncAAAjmgD5cZ9kQrN4BkODeEe0WHxKY0nRwm5RAZVh9I4csTzyOEX4UC1GoOy3cvwh9JWmj3hBtPY\nBRywTHMkgIADAHCkY2Lx3nCsLGVJRaSzW5PZc1j7qDYQeQUcPUEuzqMSdZoth3ldxc1qXC5DXYdi\nrIN94am5FSodDYgzjigQcAAAjnQuP2ek5Cp80N/DUjXh9o9wSSXj2e509hkO66GdsTmmj3T6mCod\nObLNKckwDFXrqTZvBCHUE4oG2XiVXrRTYQFAEHAAACYKKXJI9+/f/5sbr/79H/6oCPbwgzfBmrV4\nl6jVzXke2ensax9WPdXhTVPkNGMQ4xNhPUVQayDbvRGEULMnVGei0p4KC3MSYMQg4AAAFKKx2aJy\nxx13fPLBuwecnu59X255543GMk3iglqqJnqCXJznxRrJMGsfyawG0hXg2FiuJUBsNFM56oBjYKOK\nkWrvZxBCzZ5wjQZr2vFZv6d3lC3n3juY9CDgAAAcoeLx+JYtWxBCyFCKvK7W5v3C40LYYaAUchnm\nCUXF6s5G57T2oSHkekruzHk1R9QZDkooxbGrteudv91/85qLVi1ZsOuzT5LjMABGDAIOAMARSiaT\nDRzFbihD/a5jjl2c/CyGIbNazLzR4WuMJrPqybSrKqNsNqsaA2mjmRjPN/dFkLtVePC1558RbkDM\nAUYJzlIBABSoSDS+p5fuC0T8TKxEjaetejlKV/zf3ZSp9E1d3SVzL5236ISUZ0s1RJefnWkWZ7OG\nzccIaZjDXLmF40WseipR4Hz4y3yIi3vC0cp0x9CPID4wqXCVQra7KxiVk6ivU3hQS8pH02ZWEMcc\nOWCGAwBQoF7b13vX+21v7Ovb0ub7yxcuKbrQG4yrf3EbR+rOPv3Uoc+WavHRl+JIyGWLiqDaQHYO\nPsItUx6J3cdY1DipSP1LPuKreLWR2tzirVDLUGxgLWnNmjUjawqAFDDDAQAoUDYfc+Esy8rpxp4g\nd/krByQ4SQ0hhFx+RkfK05Ybt6gJ57Anm6SVcTuJN5L7kso7B/syPctE458f9Mw34wihTl9qRXY0\nujmDWgO1uaV/SW3RQ1t2HPzu27qp05bMnjLi1gBIBjMcAIAC8tJLL5WUlJSUlLz9nxfsNFtpoBBC\nRSpFjOe9EdHyN5M5aLYiQ7lxiwbvCnJIjC0zYS7eG45V5nbiSZWBsntZPkOE9fSurrVvf/ffA30I\nIRsdseopdCjRdTTZncIX1hjJEBefWqw0FhUvOP7kpRBtAPFAwAEAyJtEe1a7urp+9rOfCbcfuutW\nW39IuELLMKxE1PzNZHaarUqXA4EQsoy09lc0zoe5eOJul8P2y9//mfd0/uOP90aj2cOmYqVCLj9c\n9DPZwb7wm/t7H/jetL/v7NrlDNi8TJWBcHR2vPXWWzabbQRDTVFjUCKExrKoOThywJIKACAPkpbH\nGHTJJFQ0y1foKT7KooGTTdisSZQjYPdFMk08lGrw7hDH83y+dTzfPtD3wp6eB0+vq9ARCKE//umJ\n/TXnoFfvfMX5XVmldd4vrxv+yzEMWXVkp48p0xLJb3ic5x/+1HFurVLX892N8833fNRJyGS14dbL\n1q4WXvCf//znpJNOymuoKWqNZIlKUWukRtMIAGnBDAcAoFDMmDHj8B1jebFKTsgHrvQWtZj5m8ns\nNJtpl4dRiWMI9eW/lGOjGVIuu3lTq83HhLj4V+aT0GcvIOd3CCGfoyWXFqr0ZOeQnbGv7+vr7/c+\nf83p11x49r3nLTzLinvC3J73Xk284Omnn853qCk0hHzD+dNxOYZg/wgQG8xwAABy1dXVFQzwao34\n21MFKpVq586d69evd/sjliUXfeE9HAdYNLh7dIfFDyVMHgxTqRPDkEVDOGmuSInn1bKTZi+ebe4P\nR2/e1DrFpLQQMfeXrwtPZZ2BEHbG1hqVbYMDjt4Q98+v3YFnb0fxmPAI++mLj1x208avDr9MoYA/\n6aBwwQwHACA7juOuvPLKWbNmnbN49qvPPYMkW1uprq6+5557rv3VbyKkIXniwaIh3KKebCIIcjFf\nJFauzZjLWW0gbb7sNbhS3g0HzZRr8fNnFl8829wb4h69+MSLr/zZiaed+cu7f/+DH/wgl4FNMVEt\nfeHkR7a103PKNMh14PBDPD/TrFp12VWJB2644YZcGs8EpjSApCAcBgBkt2nTptdfH/iM/ucH7jpz\n5fmUUtqzyx0001B0uAuJllRsPtaiwRMLN0NV6amObDW4hGgjEXPEeb4rwFXqKITQudOLzp1ehBBa\nfcMv8xpYvUnZ4WWicV4hGxhbc1/46BLVwrse+MNvfiU8cvaFlyCEZs1d0NLScvDgwaOOOkqtVufV\nCwBjCQIOAEB2NE0n32UiEakDDjvNnlJnSNwVfYZDiA/sPkbIGM0UTFj15Aet3rxadgc4QoHpKXn2\nl2amp+R6UtHhZaaYBvI3mz3hZVMMx8w8f+7C4z3dbuuUhsTalk6nmzt37mi6GwpmO4DoYEkFAJDd\n8uXLE7eXnnm23miSrq+BUIBmhEkCQYkaj3C8n42Nptnkf8KDdpqp1KffEyuo1pMdwy6pDF1asnnD\nBhTZ/OYrAT+d9kuyenPjs6fNrvXs3f7Wlk+ER9gYb/Mx9SYlQqis0nrciadIl0kDgERghgMAkF1x\ncfH+/fv/tuFVnd4Qj8duveZyhNDVV1xyzjnnSNGdn40F2Xip5nCqpkKGFSnl3+xv8+62z507t7y8\nXJSO7DQzy5JxGaKvt8f+1a6eQHmYiyvxXD+e/eNfzzkD6IH/PogQenXbV1q9IeuXJDtw4MCj996B\nEEI97W9+6Ljk5Nmm4pIPdnwjjwR+d9NVjQsWXrTmmrwaBKBAQMABAMiJyWRasfICT4/7glMXCo/s\n+OSjefPmVVZWit6XnWZKNUQifUFAcoHfrPsjavkcIfT2228vWLAg9wYzn0XCntmQfrZm37595y89\nCSGErnrq3y/+5yc/XpVLs73dXQe7PCg6sPrzxccfnvq9cxPP5rJO0dHRMXCrpw3NWu52OYxFxX/4\n099Q9ZzPt235fNuWhukzT152RtZ2ACg00i6pNDU1PfzwwwihaDT60EMP3X333c8888zQuwCAicLR\n0Z589+DBg5L04mMrhtTGiHS1Ib1ZuC3Knw6eRw4/U5Wh6tezzz47cMtj2/jm2zm2SSlVyFCOvF3C\nXaU670yIefPmDdzqbkXm2rqGo/w+LzLXoe6B8+LbDu7Pt83cQeoGkI6EAUcoFNqwYYNwHMBnn31W\nXl6+bt06l8tlt9tT7ko3BgCAWIRP83VHTU9+cPbs2VL05fCnSa0g2ADSDgQcOJ5fYYy0esPReByV\nqNNP9BLEoQF4bGWzF6PcdgJrtDrDlJnI60IILT3z7IUnLcl3VCaT6dNPPz334svOO3sFpdHRMYXO\nYFRPaUTdAxXD5ixYlG+b+YKwA0hBwiWVf/7zn+edd97WrVsRQs3NzUINwbq6uubm5vb29uS7lZWV\n3d3d77zzDkJo9uzZU6dOlW5UY0Ymk5EkCXV4UuA4LpfL4/F49pceSRQKBYZhSmVBH2BBkhxCiCRL\nnnnj/RefeRLx/B233FhRUSFFR65AdKZFQ5KkXH54r8fx82a/FBgo+nnzzTfn9XYJg0/R7WEq9SRF\nUQihoa1dd911f/rTnxBCqM9mOGE5SZIpL/vKQQsPJovzfEiu/vfzG5RxxlJeEY/FIpGw6tA8R45j\nnj179s2/uR8htPfV7zroWKlBxWpLv3figsj08hU/vHBG4zEYhiW6PqZCl0ubuSNJrsB/FDNRKBQT\ndOSSkslkBEEk/yqJLtNBgymkuhzu2LHDYrFYrVbhbigUKi4uRggVFRUFAoGUuwghlmUdDgdCqKam\nRtL3ZSzJZLAJKBWGYTKZLN+TKSY94T0p8J/8xPCmHj3zjt8/lvKguB3Zfcz3pptlMtl8q1E47ewr\nB714XuPXEd2tq085+8R5+RacSDtOm4+tNqrkcnnaa3Z1dXV/f/+rH+3w4MWP7/IILSS3k7bNHj8r\nx7C6cguGoc+2fnDT6osQQieedsadDz+hVKpyf7uEV04tUbX2R8r1lE5J3L7uTuEp4dcn0ZTo/wVy\nubzAfxQzKfxfonEh/NWVtItxDjhee+01iqKamppsNtv//vc/lUrl8Xjq6uo8Ho/ZbE65ixCqrKy8\n7bbbhK/t7e2VaFRjyWAwhMNhjpPk9IeJi6IojuNisZFvbpyUVCoVhmHBYHC8BzKcUCg09MFAQOQ/\nZAPlxr2RYoIPh8MMw4TDYaF3gyLuDsWsU6bzPC98UMld2sG39QbK1PJQKDTMd2GtazBEog6v3ecP\n4nIs+ZVp22zpDpTriHA4hBASog2E0Lb3Nr30z/XnXXpl7m+X0Hi1TvGV06fD+XojlehOLper1erE\nXdH/C4Z/QwqZWq0u8F+icaHX6yORCMuKX6g3WS5zS1L9VN1333133HHHtddeO3PmzOXLlzc0NLS3\ntyOEOjs76+vrU+5KNAYAgERy/EAzMt5IlInFzZpBWRqNZRqzBvcz0TAXz7eqesYtKnSa1NShdJRC\nSyocfiaXvpx+Nm2hdG+fZwSJEXVGqqU/crAvXF+Ups2W/fv++/KG3bt359vs8CCBA0hkjMLYhQsX\nOhyOBx980Gw2V1VVpdwdmzEAAEZpW4fvri2dV73evOLZb5/e5ZaoF7uPKdMScgxLufKRcpmBUohY\nb9ROR6oyHNuWwmogEwXOh3+lg2YSQczZF1ySePyUM87Ka2zC915nVHb52d3uYIPp8MfHOeXaeVWG\nzp1brl614uG7b1u6dOkrr7ySV+OZeDyen/3sZyUlJTfccIPf7xelTQASpE1pNJvNN910E0JIoVDc\neOONh3sdfBcAMCG8vNczvVh5zjTT3t5Qc2/2I81GxuHPOPFQqibcAbbGQKV9Ni/RON/lZysz7IlN\nUW0gO72DZjiSI4++EOcJRxuKlAghp589tmKgBuj1t97ZOP+4Lqd94UlLzz7hmBEMUonLSjVES1+k\nvmgg4EgEYRs3bky87D//+c/KlStH0H6Ku++++6WXXkIIbdiwQa/X33PPPaNvE4AE2EMBAMhOuL46\nfMxNi8qrDRQX5z/uGGHd7qwcPrYiw/GtZq1oR7i5/KyGkGvJLDmGwmHx1Xrq2+40GRuCRz9zfuUK\n/OGMuqlFSgfNlk8j0KHIAFv+vVGOs75ISbMxi/pwmwJhc41g6GaZkenu7k7cbm1tFaVNABImZGYQ\nAGDsBdgYzQyc5G5RE+6AVDloaYtwCEQ8M9ZGM5X6XGdKrHqyM8OJKvt6Qt+4g5c0mn/9XruDZp1+\ntmLIrMlosiLqTFS9STl0X9fNN9+c9vZozJw5M3F74cKForQJQALMcAAAcmKnWYsGx+UYQsiswWkm\nxkQlqadi9zPfm5q+3LhFQ+x2i7ANIRKNb9zdM9OsRrlFA1YDafexPM8P3dG9/suuC2eVrJpZwsT4\nmze1Ih4Vqw7/XR19AuaKBtPCyjS7dqdNm+Z0Oh0OR3l5+eEaZaNzyy236HS6Xbt2LVq0aM2aNaK0\nCUBCHgFHT09PSUmJdEMBAOQrOZNA6s0FiZPcEUKUQqYj5WJNNiTjeeSk00wSCEo1+HsHOYRQkyuQ\n1/f7p8+dPUHu2mPLzRqcjfF3vN+hIxVXzLXk+OVFSlwuR64AW64lk9/znc6A3cf+dlkRQujHjWZP\nmPvWHcKGpLuOjLCaY1QqjMr0f6hxHK+pqRl9RwkEQVx//fUiNghAsjwCjvnz58+bN+/yyy8/88wz\nRakrDACYQFJOcrdoiO4Ql++Ff3hNrkBfhIvFeXOGcuMWDZnvLhUhPtjbE9IS8ivfOPDj2ZamrqAc\nQ3ecYk05HG4YGIaq9VSHd9CWV55HT33ZdckcMykfWJu+4bjy/ohUNWZgtyqY6PLI4Whtbb366qs3\nbtw4derUm266qampSbphAQAKjZ1mkvd0SJTG4fCx5VoybS3axjJNmQb3RmIhNstSTpMrkLJ/1U4z\nNy6qeOiMum3tPiYWv2tptbA2lLs6I9XaH05+ZGu7L8TGzpxqTDyCYZgpw2wEACCP3w25XL58+fKF\nCxc+99xza9euffrpp+vq6h5//PHFixdLNz4AwPjy+Xzbtm3zyTQO2pB8krtZjbv94i+p2A/tiU37\ngZ5UyCwavIOOTC9WZW0qEXP0hTguxls0uAwjHj9rCs+jvGrrC0sbdSbqm8HpIx+2+35wdLEc6vQD\nkJs8Zjief/75c845Z9asWXv27Hnrrbc8Hs/69esvvfRS6QYHABhf3d3d9fX1V1xxxY2Xnd/W6x80\nw6HFRazBlWD3RYavjWHVUyklMVIMrc1lp9kKLSk7FBmMLEKoMypb+wZtVGn2hKeVZI97AACCPGY4\nPvjgg+uuu27p0qWJ03GOOeaY3/72t9IMDAAw/l577bWBWxpTNBY3KGIIDeRvWdTE1jafiH0NlPqg\n2eOqhjv+tNpADBNwpK0EaqOZytwqig6jzkQ6aYaJxkmFDCHkZ2O9Ia7WKE4BjEyEyRVJuwBgzOQx\nw7F+/fply5alnMV3/vnniz0kAEChOLzf0liOvC4FfvgjikWDu4OjWlJJXEqTUy4cNFupHW6Tp1VP\ndfgiKIcq4wl2ms1Uwjz3TEw1Li9W4x2HYp3m3nCVnkyki0oNMkbBJACFvwCYqFKuuFJ8FF61atWS\nJUsQQshYUWfWyeVJAYea8ISi0fgIT3ETRpuS3cnzvMvPVmSo+iWoNpIdGWY4Mr0DNl+kModD2rKa\nYlQm8kab+8INRemPx4TgAIC0IKEagAksHo/JZFmKc4+GWq3esGHD69t2vekmtJpB11EtKacUWK+o\nO2N7glEMQyZquF331TqqK8AlljZyYfMyVbNEWPuoNZGtfQOxzkFPZLo5qvZQGQAAIABJREFU+3nc\nAIAEmOEAYEKy2+23X7v69Dn1t1+72u10SNeRXC6fctR0DyevGLLSYVYT3aLW/rLTTIWeGD6pU0XI\nipVyG53TYfEIoWicdwe5lBkOJhL+78sbXv7Xerc7pzNvB85uNShbvQN5o82eUIMJMkYByAMEHABM\nSL/73e8+37YFIfT5ti3P/PmPUndnp9nKQ7tVhX9IjDSOFA4/U6klUeZVCeHxaiOVaVVlKJeflcfZ\nlcc2nDa79tMtmxFCPM/fffO1D99921//cN/MmTM9Hk+OTdWZqJa+MEIozMVdfnaKSYRDa4e3adOm\n02bXnja79g9/+IPUfQEgNQg4AJiQ+vv7E7dpn5i7RVI0uQIxnnf52aohR52Zxa79Zc98Tmyy6kM7\nY3NJW/nk628ZZ4twe93Pf8JEwl0OmxCrCT766KOsjXg8no/efdvf+R0b43tD3MG+SLmOVOEyhNCX\n2z++7WdXrP3pZW9ufDZrO3mJRCKXXHKJcPuBBx7Yvn27uO0DMMYghwOACenUU0999913hdvHnnCy\npH11BThKIdNTqckiFg3u8IsZcDj8zInV+qwvsxrIHQ5/jm0e7PKhfnvirqenW2cwJr+guLh4+Bba\n29sXLFgw8OIbn23tj9hppsGkRAgxkfCvrh6ICXZ+uvWomY1Tj56V48CySj4sXhjGokWLxGocgLEH\nMxwATEirV6+++9EnL1xzzd2PPnnOhdLW37P7IlW6NCsdFg1u8/gPfvdtLJbHASI8z99+/0O3X7fm\nsfvW0d6BeRo+Hm/5bm9HX2hopshQVn2aJZVMsx2YqQL1O4XbcxceX1ZRpdHqfv7re4VH1qxZc+KJ\nJw7f3Ysvvpi43bv381ZP+KAnUl+kRAh1d7mSX9nRcjDr4HNXWVl58smHQ8kTTjhBxMYBGHswwwHA\nRLV4yTLF1IUKDGv3RopVuIaQaruKnU6zVbWxTPPI3/+1J1j609uv/scJp7z8/L+Uypx2bTz77LNP\nPnS/cDsY8N96/8Mcy9518zWfbf0Q3fDy1o1Pzbz+huFbqNYTTprhYnwu56F4ooqfrrnc3aBRqTXn\nXnQZJpMhhL5//o/OXHnB0cVkLmMmyaRVnt72Vi/T1h85rc6AECqrtCa/ctbc+SLuiZXJZE888cT6\n9ev9fv+PfvSjqqoqsVoGYFxAwAHAhNTkCtCR6B3vtdcalX2RqDcc/dvZ9UiaIhAOmh1abjwcDr/1\nj0fQlesRhn3x8YdvvPHGBRdckEtrO3bsSNx+/7+v3Xr/w9s/ev+zjz5A+lIUZV/5+8OXXHopGva7\n0FEKHaVw+NkaQ/qED4ef1RFyLSlHCNlpZv6i+ppFv0l5jUKhyDFCuvTSS7dt27Z161aE0IXfP2Nb\nb8gd4IQiHAqF4tl3tn7w0jPBYPCyyy5bMH96Lg3mrqSk5NZbbxW3TQDGCwQcAExUjgBbqiX+enY9\nQuiX/2vr9DG1Rkn2TdhpZpYldQtoLBZDIS9CCKkMKNjPcbluV5kzZ86GDRuE20vO+D5CKMqxCAnF\nTJ0IoWg0mrWRagPV0R9JG3DwPP/r99oJBfaH5XUyDHkjsfJ0yzS5R2Ymk+mFF144cOCAB9NiSt0L\nL+wr1RBCNIMQWj5/+vL5D+TYFABHMgg4AJioXDRbphm4lJZqcLeoJTGSOWm2YsgMh0ajOeeCS16n\ne5DOjIL93/ve93Js7bLLLvu23bn/292m4pIVKy948em/qdRqhBAylKF+55krLzhlZk3WRqx6ssM3\nsFElJXTYbvPH43ydQXnru21r5pWa1TghxxBCjWUav9//8Pp/Rznu52t+jFAeU0E4js+YMUNIEylW\n4fUZaowCAIYBAQcAE5WDZit0JMswD9992+Yewlx/9HxiQWPZfBG7aHIFuBjfHeQq0pUGv/62u/a9\n3DTnhl9funSu0Wgc+oK05HL5pdfciBBy2TsvWTGQFHniaWdwJ1yqV+I3n3nM8F/eWKZ5v+ngnvde\nbQ3J2v+9+4bb72ka/IIXv+1dNbNkxVTjfVttd3/YOa1YJXwVx3FXXHGFsAn2iQfvbW1t1Wq1OY45\n2RQT1VBEJQYzghYAODLBLhUAxCQcDjI2J3w6/Uy5jnj9hX9tfvMVRHd3B6NPPfp70XvpCrBaUqbG\n02ek1pUV66uPopR51NxMvDmffvhe4sFtvfJvwuoz507NpYWnHv1962fvIlPV1s3vPPPnh5Kf+rY7\n6PAxy+oNMgy79cSqWRZ1ojzXvn37kktufP7557mPOdk1x5Z/f6ppZF8LwJEMAg4AJDEGMYfTz5Vr\nSZfdhhBCtBvpLMn1rMTiOLSekvbTvEU9sJQz/Pc79NkHP7Z/jh+Fph6PdGa04pdo7jl/XF4706LO\nZUi014s8NmQsRzJ5b3dX8lMb9/T+YHqxcIirQobdvbR6zdxS4amioqLkV5aUlOTS11CVOkJHpZ8b\nPnDgwIcffhgMBkfWMgCTGwQcAExUTj9TrsUXnrwUIYR83UhXsuKHF4rei8PPpE26FJRqcy02mhxz\nsDF+c4u3oa7WcNoVaPXfEE7dclS0oTjXaZIZx8xDwX7EhpGxfP6ikxKP23zMV67A96camvft6XLY\nhAcTJ7NUVFTceeedwu2f//znjY2NOXaXkBJypdx9/PHHjz/++FWrVtXU1HR1dSEAwGCQwwHAxNPk\nCoS4uDcSK9OS1Secct+f//HZ1g//i5M/vvHXovflpNnyDOXGG8s03/WGcz/WJBFz2HyMkVJctaD8\nqgXl/lBITc3K68zbi1ZfYyo2P+2OnHDdunNWnpp4/KVve5bV6R645aefb/0AIXTxldeuvuGXyV94\n7bXXXnXVVTzPDyqtIQae5+++++7E3Q0bNvziF78QtwsAJjqY4QBgQnLRbLFKIey/OO7EJT+//S6z\nhuznZKIv5Tj9bNqMUYFVT3YHuUg0PkwLQ4fU6YtYD+1o1apUeUUbCCFMJjvj3FUnzpmuqZuJJZ0t\n+3GHz9z7rRBtIISeX/9nP516ygxBEKJEG+0HD6xdu3bdunU2my3NCIc/8RaAIxIEHACIZmxyRQWO\nQOpW1VIt0SXqUWrCt+Og2fLMAYcKlxWrFZ2+XCc5BB1epjpDza5c9n0Ir6k1Um39A/2GgsFbbrqR\nDob//utrk18Zy6Gkxwj0e3qvXLn8qaeeeuKJJ+bOncswDIZh9913X+IFF198sRT9AjChQcABwITk\npJlyLZ78iLilOIRoI8bz3UG2ctgTXKvTnWwyvE5vJFPAkbtaA9V+KOB448V/f9XuRt1tiD8817Ji\n5QUGUxGSYPPq3qZdyXe/++47hNBPfvKTHTt2vPHGGzabzWw2i9sjAJMA5HAAMCE5aaZ88AzHKA+L\nTzs90xXglApZoqpmWtUGssMbQelqcGVqtsPHnjt9tEVRa4xUV4ANc3ElLqO9/chch7oHjqG/709P\nqbW6mceIWZIkWYW1Jvlu4pSTmpqampqaoa8HACCY4QBggnL42ZSAo1SDd4ldbNRBM8MkcAisBqoz\nnxmOaJx30Ey1YbQBhwqXmdW4UG90yZnfR+Z6IeD44Y9XH3fSUomiDSGiqqmf+sADA+XM//GPf5hM\nUJYDgOxghgOACUaYM3D62QrNoFCgVDOqGY60nPRAWDPMqkSNnnzRF0n7VNrpDSfNqgi5nhLhbNta\nI9nWF55WrGyYPtMwDS2rJ2deuWrxkmWjbzmr1atXr169egw6AmDSgIADAKmkXWIQBRvje0PRssHl\nMSwakZNG0cApKllmOGoMlMvPMbG4UG4rqw5fpHrIYfcjU2tQCnmj/eFoMIbW/PgihQy2hwBQoGBJ\nBYCJx+VnDJRcRQz6/S1RK6Jx3heJibhZxuHPWIQjQUXITEqF3ZtrrNPpZUe/njKwtGEi2/ojCKED\nnlCdkYJoA4BCBgEHABNPchzQWKYR/skwrFiFizvJIRQzHeYFwoW/2kB2ZFhVGaojqQhH2tZyV2dU\ntvaHEULNnkgDnOAKQGGDgAMAcYxlEQ6XnxXigJQr9IhLcaQdfJznXf40B9MPldgZm8ub0OGLVOtH\nO8MhqNQRQS7eH442e8L1psMBhxCBJW6L0lcyOCQWgBGAHA4wyUmXSDFUX4h7cU+vhpDrKXmVnjxG\ngn4HMkYzlBsXsRTHd3uaPty+Q04u0A+7J1ZQYyQ/t/vTDjUFz/N2L2sd9ZKKQCHDrHqytT9ysC98\n8ezU0hfVyugj65/drlGcf/75Im4kgWgDgJGBGQ4w+Y3ZefFfdwU/s9E+JtrUFVz7bluM5yXqyOlP\nX/3Toh7JDEdLS8vt164+bXbtff93QygQQAjt/HTbdRef+/Ib/2W62p/500NZW7DqB0pxZNIT5IQ3\noyvAyeWoWCnaR51aI/VNV9ATitYaB4IYISBgWXbNmjV/fuCuO+64Y82aNXCCKwDjDgIOAETjoNn5\nFdrrjiu/4xQroZD1BEWuioEQ6uvpvueW63Z8e2DLhr+FhlxEcz+7Ndm9994rnGu/ZdObL/zjrwih\nDze9iRBChjLkdT339z9l/UxfbaRcfpaNpQmwWIb5/b13XrSh6dKHXnA5Oju8TLWOEvGkkVoj9V5r\nf7WBFI6VSdi9e/fWrVuF2x9//PEXX3whWpcAgBGBgAMA0Tj8TGLiwaImusUuw4UQ+vsjv/to8yak\nM3/2xvPPPfl4yrNFJN/e7Wv5bm9ebb711luJ21s3v3Pbz644sHc3QgMBx3EnLc3agpaQ65W4nU5T\n/uvlf69/t7kPuVtccdUvN37R7k2fMZqcdZGjQyeqkO4Al8gYTTRSUlKS/GKLxZJX4wAA0UHAASaz\n5JWUMVhVcdBsZSLg0Px/e/cZ31TZNgD8Otl7tU1H2nTQlr03soSCyFBABURFQH0VxYETERyPoqg8\nKuIWJw8y3CxB9p4KBREoLR1Jd9PsJifrvB9OCSFN2rRNWmiv/48PZ+U+d9OQc/Ue180utzrDflOT\nwQDSWHDYwGbSFFz2PWW1mL97a1G51fHwtAnznnkx9DLnz5/v3dYWXj5+cO/lnAsxcfEgiwdDyaxH\nngylkOQgvSqa/DzoMQ7++h1+fKmcJFafrqADDu/kmiaEGr5SZXwA8B0xSlOr1UuWLKG3n3322S5d\nujT5Fr48Hk92dnZ+fn5YSkOoXcFBowiFTbHZoZLUjiSIFXHKzGFOwwUAKemZx4otoC8GgD6Dhvqe\nKjix59zBP6HvwyCQ/vT9qndfe0kkCulBPnHukyx5fP6lixfPZV84m00frNTp43sOfW7+3R1jhaEU\nkizjBpyoEtNvDBTz4fJx8Lhv9Zw1qvr1CK3AEMUI2WIOMzPQnNgnnnhi3rx5FEVxOOHJM+ZwOObO\nnbt9+3YAmD9//iuvvBKWYhFqJzDgQCgMskstZofbSrriRLVZK2JFbI0xzAFHdqllzvxnCuXbC02O\nGS+/ufCxB3zPMhgMoDxgrgKJEmqMRMgDJVgs1sS7ZgLAhm+/vHA2G1hc6DWeO3RmgoSbUafloK6e\n8aLsUkuSiH2i2AhwtefC43EbqqvLoroOcVzmjZuYkp5xx71zubwwZ8sgCFg5MV0l5kCg+SNsdn1J\nRBprx44ddLQBAB999NFjjz0WHR0dxvIRatsw4EAoPIpNjlgR15vsMlbIOakNfycOi82WZ/buJuZM\n6B7DYFzTJTpp0qRvf1j/l6kCJLH3TLpFKGxEQwLp8nx8vKQyIUvxdA+jmxUN1qez0vqqQ51Kunfb\n5pUrPoMxj736x/JFy1ZwuNy8i+cfvms88CWMh795b3hKt+kfNOKHbIy/jhw8fnBvclr62NvvjNAt\nvFwuVz27CKH6YcCBUHgUm65JyhkrZpdHYJYKAGgM9kGJ4rrHhULh0o+/ef2Pf2KH9Z0zsmP9hfil\nJ8mtth3XWh7qFzejhzJawG5w/RRfFEW98fzjwBODLP7g//bs2PTLhDvvXv35hwAAXUd7Ck79kX+h\n2+vvhl5g6I7u27348dpmnvzci198EJG7eGVlZY0YMWLfvn0AMHPmzLi4uIjeDqE2BgeNIhQep3IK\nTm5dn9Uj9f3/LHK7XbFCToXVQYUvFYd3bITGSCYFyf7JYrF6dEg0MgShFOU72EJjJDOieKPTZD3j\nhH7RRoMjOp1OJwCA3Qw1RpCrTAY9ADgdDgACut8C2dusltqcYJXlZZs2/O/Q7j8pj6f+MkN0/uhu\n7/ava74NS5n1EAqFa9asWbdu3ebNm1esWBHp2yHUxmDAgVB4bNtzAAwlALDlp7U7Nv5CLyWms4W5\n1d1kd1kc7oBZv2jJMl6RMdQs414aoyNJ2nAK84A4HM64KdMAAHRFEJ08fOx4ABg8YjQoVMAXQ8Hf\nWRMmA0BZsebuMYNXvLHklace/vrtxU27l5+kpCTv9qARDU/fbT4ulzt69OiBAwe2wL0QamMw4EBt\nVksubuLxuEGeAPpSerdUqyEIUArZTUjD5RVwTm+RkUyQcOtZFlUt4RYZyXpaVvyKpXc1RlLd1IAD\nAJ5+5c0lyz/umRp/26MvqdQpADDxrpn3LFmRyKc+XvPr0KxxAHBg5zbv9WvXrrXbQ13srR6PPPLI\nyHETAaDfkOFv/wfnjCB0Xbsex3A0arDbdYvBYPB4vHDNx2szmEwmi8UKY0dDPfh8t9+RCH20ThWb\nhEIROybZaSihj4wYeyufz4+X8PVOIsfg7q2S1F8Ci8UiCMKveny+2/ta789SbrMkywV8Pj9gmXy+\nW83jMwjC5GbFiTkBf966bwsAaMyODjESPj/AFJJQ3rShmUKh8A7n+cqDBQZvIW5F0shoolf/2kYI\nRdQ1EzpkMhmT2cAqLQRBMJlMv7GxfnVbunIVvd3gm9xmMBiMup8WBABsNhvflrqYTCaPxwvvjC0/\nIX6lX48BR9tY9YDNZtvt9trubXQFj8dzOp1ud4BnXtjZbDa/I4dzbZFYectms5nsLg+L++CcObry\n4uFjxieoUy6eOxvN42h0FptKYLU28GQVCAQEQfh98un6H8695qfIqzKrRCybzRawzEwZM7vUkiTh\n5JQbpCxx3WsCtvq4PFSpiYzlBXjHAKDByntrqxIy8nRWbyH/lptv7xTl3R02ZvyBXdsP7toOAB9/\n/HEoLRwEQfB4vIC18r1vo+rZBrBYLDab3Ta+J8NLKBTi21IXi8Wy2+0OR/jTAvkSCBoYOgbXZ8CB\n2rbTJWaPxwNta9XNYosjTsyZMfVBADhz8tjEgV0BAAZOu3naHAD/VUxDEaw/SGMkb1I38Kd8kpRb\nZCT7qwLMZAmoxOQQchgSXnO/DVJkvHKL0+7y8FgMioI8nT0j6uqqsBwu99X3P6uurBCKxQNSY+op\np1HoLCDhKg0hFDk4hgO1ZS4PVV3jjNyqrV7FxqvrxW/47ovao6aKs7mF4b2RxkgmBpmi4pUsb2Dt\nVv8yTUGnvTQqKOSzGUohu8BAAkCJ2QEA8SL/YhUxyrDn/kII3RCwhQO1qFPFppa83erTFWvOVACA\nlMfMSpPPGxAfoRuVmEnvbFIR+0ocb6qoaWiGaqO4PFSp2dHg6E61hHtCa4Y6yTaCaeaIUV/JMl6B\n3t4pmn9JZ8uI5gdMdhqJlq221FqGUFuFLRyoLSs0kguGqDbO7Dp/YMJfJebI3UhrcqjEtWuSTZw4\nsfaoqcLJl4WxeaXE5BBxmQ32failvCJDgIVbg3U9FBnJRCkv4KnGSpVzCwx2ALiks2UEWt8EIdRu\nYcCB2ib64ao1kkkSroDD6BQtqKiJ4ADeYhOpkta2cNxzzz27d+9euXLlNz/8RAFhJF3hGmRQFFpT\nRIKEY3V6jGTQkbn/nDq5e+vvel0VvasxhKGFg25joFs4ACBHZ/MdwNHMJWERQm0AdqmgVhNig3+T\nURRVYibp9eJjhGy7k7I4wj87hg4mSq60cNC6d+/evXv37FJLtOBiucUpa/Z4TJrGaKcHW9T/vrEY\nRLyYU2Qgu8cG6ND5+sPlP6z6mN7+bvNelTpZayKbnPXLT4qMW2iwUxTkVtsyo1R+Z3GAJ0LtGbZw\noDar3OpkMQg5nw0ALAah4LPKLRFp5DCS7hqnO1YUYJp7nJhT1ozcX340JkeIfR9qKVdjDDBulKIo\nb7QBADs3/1Jtc9lcnjhxeOboJ8t4Opv7ks7m8lCqK2X6hkc4gAOhdgsDDtRmaU2ORAnXO24xVsQp\nt0ZkJnqJiYwTcQJm/4wVspsQ5QSdExtC3wf99FXLeIUG/wTn1ZUVJZoi34u5PD497YUZaHhnEx7k\nHCYRL2LvzDNkKPhEwCGjCKH2CgMO1GZpjaTKZ7ZnrJBdYXFGoklfa3KogvR0xIo4zclu7kdjIpNk\nIfV9qKVcekUVr2deXjpt9MD7J47s1K0nMJigSOo9cIjH41n1/Rq2pbJuosAmNxukKni78w3eEaPY\n/IAQomHAgVpOC/ffF5vJROnV1PJKUaTWi9cag46BiBWxw9Wsore5SLcnLlDHTV3JUm6hweZdlLW6\nuvr7Tz+gty/8kz30pW/Ycz6O6j786w/fPa+puHRo28b1q72vbeYAzxQZz2B3peMUFYTQtTDgQG2W\n1njNQM5YEbsifI0N19zIdE1k4ytWyC4zOyAcwdaJYrNaGrjvo65tX79XYXGO6d/1j1/WA8A1ecQV\nScdrJHf3jN3H7wUSJSgSQV/815GDdJzRnFCDfm2qjAcA9BQVbN5ACHlhwIHaoNo5sSYyUcoFgOMH\n92b1SF3x/CNnLxWEd90471KriYFaOHrGi+LEnIomNav8/G/V039crnHUNlFoTY5Pj5c+0j+kxGWn\njh/e+L9VYNGBXPXfVxeaTKaEhAR6VVUAAsY8ekdnxaxeykRTDkxeAtHJUK1NTE5tQiUDshefZ4Pb\nU1nU8KUIofYEAw7UNjndVLnFmSjheDzuRY/OAQAwVVQ7iSN7d4b3RhRFFZscwVKDRwvYdhdlDp4S\nI5h8vb3ISL7wZ/6RI0e3b9n44tYLsoKDz93S/dN3Xu+mbKC3orqyAgCgWgNRSQBw6IImu9Ty0rIV\nSz/6asJrXyd26jWrbyIAvHnvmBiWE8TRNw/sfe//Pd7YGga04dsv3n30buens//vjltOHTsUljIR\nQm0DBhyobSoxkxIuU8RhWi1X+jLMlSCQFpeUhPdGFVYXgwFR/MBDK1gMIlbE1poD5P30darY5Jv0\nnaKonBLdpGizuej8kv2l7x7QlF44pVm/DAB+/t/X69evr7+0PoOGAgBUFUKUuv9NI+IT1QBAMBiZ\n/YfvtyufvimJzSQAICY27tvHb3/6psSXXl8mEIWn7+P08SMAADYjAPy58eewlIkQahsw4GjvWjcR\nU+TurjU56JRfYol08IjRAAAOG9gtKb2HNrnMgLWlp5XWM7IiWKLxgOVnl1pOl5jfWvjU5Qrj6jef\n137+JFQVgKoz/PEeXOkMunTpUv3ljOyW8sP2Q8N7dU4eOHbJ8o+901P/zNP3jhP2iBN6r+QyGeMz\n5KHULUQE4+pXikgiDWPJCKEbHWYaRbXP0ZYZ33e52pavs3ooiiCInrFCKY8ZoRtpTaSEsr35wpMU\nRU25d27X3v0M1bpjURKGLLZpBdLvkjc7qjf4uKCtsGouvvLUuw/NmtlzwoS6L0yWceoPOLJLLTze\n1XRemvy83Tv/hPkPgKEMKA9sXwlsLjivjvocNWpUg7VVxifcO3Xiwh0FAuHV8CJHZ+sRF9nf8swH\nHz22fzcA9Bl0038WPhPReyGEbiwYcKBakU40Tj+h39pbAABCDqPE5BjdQTqnd1yEbpdfZTn8y7dw\nYiMA7Nm26ae9J2WKqNLdhRUWRzN/Ur92jq17D1ZcvlBy5M9Du//cunVr//79/a5XS7mHikwQ8jvM\nYDJBFg/WanDRYQoFTnvfQUM7du9ZVV42fMz4YcOGhVJPtZRrsrsMdpc3sXpulW1Kp6iAF4frVz/z\n1hGdTl0yVOsU0cq4OHFYykQItQ0YcKCWQ1GgMZJfTekYI2D+dK4qr9oWibvQAcHlShPorw7XuHT+\nn/43jVCK2OFdwq3GYqmwE6AvpnePHj1aN+CIExD1tHDU7aZJTE7tM+7Ov/UlADB8zK2Pv/Qfi9GY\nmJzq21sRChaDSJZz86rtfRNEAFDj8JRZHB0UEU+PwWSyomKa2IyEEGrDMOBALUdnc7opSilkURQV\nK2If1pgafk2T7+VieeMAABg3qKcOQClg54c2nCJEApEIFCqorr1Rt27dfM9WVVUtenTe8RMniMd+\nuHDhfKdOnUMsts+4u4Taypl3bkrv1JUgCLki2nuqUU0R6XK+N+C4VG1LlPL4bBy2hRBqHfjtg1qO\nxkSPryQAQCnkVERmKTUAsDrdZgf12muvDRg6cvTo0d99911iYiIAxIq5YUw0DgCk20OIYwb36txv\nyPDXX3/95ptv9j37wQcfHD+4F0grZTWs+vb70IstMZEdE2MyOndr5nIkaQqetxnp0rXrxSOEUAvD\nFg7UcrRGUi2rfebFithVNU5PWNNw+dzIoRSybxo+8qbhI71NAj3jRRerbOFdMFZrdEQJ2K8vXwmB\n2h4qKipqt6q1FlaAKRvBJukUmx39EiXNqRi9EHwHOe+PnGr6SG61LT3y/SkIIRQMtnC0ay08J1Zj\ncHjXHJFyWUyC0NkanRErFFoTSc+J9QsCwh7leJOZBuzpmDx5cu1WtUaU2jX0YktMpEoUOFd6o6RH\n8bUmh8NNAUCuzp6uaIkWDvqtwKTmCCE/GHCglqM1kUlXWjgIApQidnlDGbGaptgUONe4N8ppbKQV\n7Hqt0ZEUZBUVABg/fvymTZtmzXty/IibZB161lOOL9LtqbK54yVhCDhEHKZCwCow2EmXR2O0dwiy\noBoGBwihFoABB7oqcg0etWuOmMgk6dU/spVCdkVNZNaLNzoSA+UaD3uUozXZA97Ia9CgQbPmPXXz\nwF5+i8XXo9TskPOYgjCN7uwg512utl3W25UijpgTqawnCCHUIAyiEHFFAAAgAElEQVQ4UAuhFzdR\n+wYcovCPG/Vbtq0uOsoJ1+3oNKMNXqaWcbUmMsSunGKTI0EcuHmjCU0RHRT8PL09R2fLxPXiEUKt\nCgMO1EKKzaSUxxRxr/6RrRSwm7aSaoO05toxHHXFCtlhjHK0pvq6VLyi+GwOk1F27QSZoCNGTY5g\n0VITdFDw8nT23OoWGsCBEELBYMCBWojWSPotqaoUsSus4ZykSsvTlJIO14FfVpuNhrpnY0Xc8jDd\nVG9z2V2e2NBGdyZJuIWGkO5baiHjg7RwNArdHJIm51/W2y9V2dJ9Wjh6xosiOm4DB4UghOrCgAO1\nEI3xaqvDuq8+zeqR+u6T9+eV6MJ7F6vF/PDDD7l1xZ8vf+M/z853OPyf8UoRu9zshHAMWNGYSJWE\nywwtVUaynFtktAe879af1w3t2/2mAX1+/O5LACg2OVTiAC0cTXuKJ4jZHorK01+dE+s7T7gJBSKE\nUNNgwHHdoZcMbYEJqy08J1ZrciRKeQBw6fy5VSveAQAwVVbWuPS6qjDe5dzpv0CuonOMnjp26Ny5\nc34XxIrY5WHqx9EaA0++9UOfDbZmbGV52XuvvQi3PAXTl32+6quCvJyS4GM4moAgiFQFP4rPlvMD\nJN3BmAMh1GIw4GjXTHbXjA0XXtpZsOGfqtzIrGwC10xR4QJARemVjOOWKuDwNSVlTS7WL2bKLrVE\nRStBnuBdRUWpVPpe0DNeRFWXFBtter2+sfXf8E/VjryrfTRFBnL16fKBiaGuT6aWcgMGHFUVZZDS\nBxQqOLcbprySpymtsDoTrsQxzW+NoDwemdMQw7C5XK6A5WDMgRBqGRhwXL9aoAWiyORgMYihakle\nte3xLXnFpvCPqPDydql0692v9pDbxXZa+XEpjS3K4XAsXbr0pcfmfrj05T1nL/9vy57tf12g364O\nnbok9RlGt3AsXbpUpVL5vvDrr79+ZvpYl9121+3jC/Mu1XMLv2jG5XJt/KdkxWHtm/s0Vqc7R2db\nsC3vzm4x4zMVIdZZLeMEnBmbmtERhs2CI2vhwHdQlvO9LlbMYYg4TN9Qo+nRBkUtXfjkoZUvnP/m\nlZefeMhZp4MJIYRaDKY2b9eKTWSKnHtrpuLWTIVmE1ka1nVGfBntbpvTQ4+FlMoVq7fu2/rLeg6H\neyROXmWnGrte/CeffPLBBx/Q2xvXr6Y3HnvhlSn3zAYAQpG4fPl/e8QJeqv8s4m/8MILAADVWlAk\nbf7ph9uG9q7/RnTMUWOxvPL0vLKBC2D1U3n3vfJwZY3V4Z6S5Lnw7X9epzxTZs7uGT+ywTrHiThO\nj6eqxhktYPuGModKSFVqxhhZD2pYl1ETp/4328Yj3JTHE9Ib0ZCiy7l7t22mt49rIPvksX7Jt4al\nZIQQaiwMONq1Ep/xiUoRp9ziaOyzP0Qaoz1ezGExasdXjuvfZVz/17JLLYX7ipowUeX06dN1D378\n9muTZ95PAZSaHclyPoMRPMmVXguKRBaLHey8X9vSvj+3nLqQC32dUK0pXPHg0xuOCxieN+4cVHt2\n+5bRZ8/GxcXVX2cGQailvAI9GS24el+Xh/rm7/J5AxJHZz5DEMT/vvz4zPvvgjh68a6MH9d8x+c3\nN3NG1/hrFmRhsfD/O0Ko1WCXyvWlhQdyFptJ1ZWZI7HC2ukbkaA1kUkS7r/Zf3/45iv7f/rGYqn9\nMZVNyorRp0+fgMdJu63URHIYjIADJAHg888/BwDQaUCRdPvds0J8tz0eD8gTQa+ld0clC2PtJb4X\nZGdnh1JOspR1WW/3PfLrPxUKPvMmtQQAXC7np++8Dk47VGuPHdjzyy+/hFJm/Tp06DDxrpn09oix\n4++dOKr5ZSKEUNPgXzztWonJMS69dhRCnIhzvqomQjfSGB0il/mJ++4AgJ8ATp48+c033wCAUsg5\nV9Hom86bN89ut+87ckIRo9z26wb6YHqnrhMHdoXUvgnTXgz2wqlTp8rTe+34V3vALI5LSAx4Td0o\nZPjY8e9vOQbVxQAwbfb/8fgClTrF94LOnTvXX+EUgfveB/7vqEWyKyal68yhXXv1pShq5ZuvbKS6\nQPbWbY6Jk++e5XK6fF9is4VnDO9TS5ZOnnm/y+ns0LELk4mpzRFCrQZbONq1YpMj8UqiTGX45ovW\npTGRNm2Od3fz5s30A1UpakqyUTabfct9j775yTfPvvb2xsNn3/zkmwcXvJB74RwAgDyh5Mxhj8cd\nrGNIEaO8qXc3rakRNxVLpOPmPj12+KDPNmxWRMdk9UidOrzPlJmzBw4fNWDoyG+//VatVtdfwmef\nfXZ0326oKoCYlP99vhIA/jpyYOOG/4EyDcpylr/yQo3VwuPzJ0271/uS2267LfQa1i+lQ2Z6p65E\naPlCEEIoQrCFo53KLrUY7C7S7VEKa4cUxAk5FRFYu5VuMCg2OUbEiA/4HOfz+WCwxAo55c0bqSoQ\niQYMHVl0Obd2X5YAhlLSXt8PEi9mk25Ptc2lCNLzUlep1XV7904cd8Vny5fSR3794dsfth9SxieE\nMuSlsrISAKCyABRJJ9YcBAC9rgpkCeBxg7ECAEwGg1AkfnLx6yPGjq/WVfa/aYTfhF6EELrRYQtH\n+6U1kvFiDuPKH75KMbvK5nZ5QlpgrFEoiio1kxNHj5h89yz6yG+//QYAPeNFShFbZ3O5PFQzB68M\nHjmmdkuu6qJW8gWCei5mEoRKzNUEmqQarBoaI6mWcivKSn0PVpSVBLy4rsmTJwMA1BiAtI6buwAA\n+g4eBrEdoCIPgBo4fFRsQu303V4DBo+69bahHVX1lNYomGYDIXSdwBaO61qE5ozQSswOlc8KZ2IO\nU8BiVEagV6Xc6mQyCIWQM//F11Z/8bHT6XS73d6b8tlEVY0zLrQVSYJRqZO/27xn359bfuJ0ffSW\njHqu7Bkvyi61qKWcIqO9Z5wwlMJrHB6D3Z0g5sT06OV7PKNz1xCrN3To0E/Wbjx+cO9+Cb/3gJkA\noIiOmfjYkqLLuaOWLB0zaUoL9Hdg5IEQal0YcLRfxWbSb80OpYjdzA6OgDQGWwyHMhn0Epm87lml\ngF1haW7AAQAqdcodc+Z9879/1YqGwwi1jFdoICG0kK7IRCqFbA6T4IjEP2w/tOXntUwmc8Kdd3N5\njZi2mtm1e2bX7taTZflX8o0W25iTRg66OVUWeiEIIXTjwi6V60gLz4ktMdWm0PaKFbHLLM7wVsNk\n0H/y+aqiUwemDu9zYf+WuhfEijjhGqxabHIoeCwBu+FPtVrGDZj3MyCNsTYpOwAo4xPmzH9m1ryn\nomJiG1U3OqxJlXHz9XYAoCjI1dsyourr+kEIobYEA472q9hEqq5dLz5OxAn7evFbflqrMdjoxU3m\nz59f9wKlqCmpOALS+ky6qZ9aytUY7A1fRxdrJNXSAMu3QuP7KdIUPDoVR5nF4fJQKnHQ5GMIIdTG\nYMDRsJZZu5VGUVRVTaTmpnrRP06J2ZFw7QNPKeSUhenZ772Rw0GCPAEMtcMtKcp/UGqskFNuadzs\nmGC/jmKjXRXC8q0AkCTh6mzuGsc1GcSDFas1kSHGMQ1KlvL0NpeZdOdW29IVPJyqihBqPzDgCFXL\nxBx7CowzNly4fc2/T269/P3pisjdyGh3212e2GtHTsSJmztJlUaHaPQ7ljVxKsji6RaOZ555pu4j\nViXhaE0OaOgdDuX915ociRJeKDXkshgylvu7dT/WZu+oV5GRTAzSwtFYbCahknDz9fZLVfYMRQv1\npzRn+TeEEAoXDDiuLxojeXunqE8mpU/sqFh/trJOc0DYFJvIOBGbee3jP1bILm92C4dfZBCfpGZF\nJz05/9EPV/+8cOFCv4s9Hnf1xb9zK001VmtjS/7yZNmhIpOHogCAdHu++bv8QJGxmzKkp/j6bz6v\nzvn7561/PjJt4p49e+pesO5s5dnyGgCgKKrE5EiSBAg4mvYUT5PzLuvtl6ptGdFXx5z2Vkl6qyTN\nKRYhhK5zOEulAS29uInR0UUpUEk4CWL2fw9pDXZXw69p2o3MDnoAh+/jzWB3VdU4PU0NcwK+V+UW\nJ4dFTJo4se4piqJWLlmwaesf8PiPt40a8vuugwANPGu9tzCT7p/OVaq03I+OlYxOk+0rMMaLOZ9O\nylCJQ+r7OHPyGDBSQZEIAJ99u+bmm2/2PVtqdqzOruCyGB+MS+OwCCYDovj+gy2aHBakybmXq22X\ndLaH+8fXLbOFP28IIdRisIWjEVrgYaA117beEwQRI2SXW8M8Z8Sr2ET6TVEBACmXxWQQuppwRjnF\nJkei2D+yoWm12k2bNoHbBYZSUCSdPLQ/WCF134QCA5kg4X51e+YLQxOrba45fWLfGZsaYrTRM17E\nYDCgWgtRSQAglftP1l13tnJcuvzubtGLdhZkl1kTJdywjLWg34E0Be9EicXm8iRdGRfi+85g8wZC\nqK3CFo7rS7HR4X1qxoo45RZHp+jmrlEeUInJ0aVO7wNBXJ0ZG64nX7HZfy6Ml8CbD7RaA1GJvHrT\ng/opNNiTZTyCgF7xol6Nr+o9Dz9+5NkXod+UvoOHzpj7iG9AU1nj2pGr6372e4eQ1WP4Ax8cKR6W\nLKVPheU9SZFyK63ODLl/fxZCCLVtkQo4ampq3nrrLZfLJRQKn3/+eQaD8eGHH1osFrVaPXv2bJfL\n5bsboTrcWLyLm8SKalvvwzKiIphiMzkmPUDKKXpxk+6xYRvPWGx0JEgCT/6MiopauHDhsmXLQKdN\n6jOy/03DAwY6Adt4Co32ZFng9oxQwoJO3Xr+/Otv0zZcfP2T7znM2gc/5fFUVZR/crzMcWbvX3/+\nDAB9y0oHT/9P52hBiMU2iLTbPlz4GHR/6NLe/Rv0B6bNfgibNBBC7USkulT27NnTq1evt956q0OH\nDvv37z969GhCQsLLL79cWlqq1Wr9diNUhxuO1uTwXdwkVsQOe1YM8M6JNTkSxFwAsF4ZrUlvxIrY\n5WG9abG5vpkjzzzzzE97T8574P7YbgMZjEYsnl6gJ1NkIU1ICUbK58h4bM2VvJ/VVZXPPzzr7sm3\nHihzwomf6IN/Hd7/bP+oKV2imnMjX3u2bT52YA9U5kNZ7hfvvel0hP/3ixBC16dIBRwZGRkjR44E\nAJFIxGazL126lJaWBgBpaWmXLl3y241QHW44xSYy0WdchbLZK6kGYyTdNpfHVnr52QdnpqSkTJ48\nefLkySkpKVk9Upk11U27adDcGCZ7/UMrZIqo7qkJRabAqTiCFVtoJJObF3AAQKqCW2CsTf/10/df\nnjp2CPrcDpdP0JN4aQJROFsgnA4SAGDzO3B+DwC4XJEaFIwQQtebSHWpZGZmAsCJEycOHz68ZMmS\nf/75Jzo6GgCioqIsFktNTY3vLgBcuHDhhRdeAIBp06bNmDEjQrVqAon1mphMLpeG+EIGgyEWi+vm\nuarnRpV2fWq0WCKpnR6ZFkv9flEvkUhCv2mINyooNSVIuOtWrTh9/AgAHDp0yHv2wqGdsqF3NuGm\nfm8Uze2hyiyujqooCZ9NF0jn4fB9WyRWRle+qMqax+IJBRym333pYv85/deZk8c6du0RExd/cPef\nsvgUo03aJTGawwxw01BqThebGSMpsVL0G+4gSQACetwCP70MAINHjOYLBA899YL31xGW38L4KdNW\nvLEEbEYAuOPeubf260gfJwiCIAgOJzzpxdoSBoPB4zU3smxjCIJgMBjyOoOdEYPBwP9EdTEYDJFI\nFPrDqAlCLDyCg0Z//PFHrVa7ePFigUAgEAh0Ol1aWppOp1MqlX67AKBWq5ctWwYA0dHRZrM5crVq\nlNMl/jUxm0NtExKLxTabLfQ/Ya1Wa36VuU+CxNvHIWG6S012q9Ua+k1DvNHFUkOSlGuz2eqeZdZU\nlzTpptZAiTSKTSSPRXA8jgwpl/61cjgcl8vl8Xj8XhgjZF0ore4YLfC978mTJ3ccPU2S5Io3Fl9T\nrqqr+I5FTrst4AiXUGqeIWWcLjGrRMxDRUa6AlkTp/z2xw5gMKHy8kMLFs588FG/nyssv4UBacpN\nR/85cXCfIjqmZ/9B3o86j8cjCCLgb6Q9o4MwkmxcIto2j8lkCoXC6+d78vrB5/PxP1FdIpGIJEmn\nM7I5rGWyhtehjFTAceTIEYvFsmDBAno3IyOjoKCgf//+RUVFQ4YMYbPZvrsAIBAIOnfuTF9cVVUV\noVo1lncVda/QAwiKotxud+jXu91urYmc2InlvWk0n2l1ekx2R3gb3t1ud6HBliThSPoNOrZ/t9/Z\n7h3Uv5pJl6sRNQeAwsLCVxe9vO/PrXfd/9CDTz3PZNZ+rjQGm0rC8X0fWCyW2+32fWPpbbWUl19t\nS5dzvVd++eWXixYtCny/KLU5/x+Xa3DA1OAh1tztdqtlnNWn7XQFOnXvNW/5d5suVC1Y9UPP/oOa\n86uvH18gHD52PF0Bb5kej4cgCOxh8UMQBIvFwrclIHxb6vJ4PPi21NXYh1HkRCrgyM7OPn/+PJ1Z\ncsKECYMHD/7oo4/effddpVKZlJQUHx/vuxuhOtxAskstFHU1ZQWNxSDkfFa4FjbzVWhwDE+R3DL7\noZv7dz9z5sywYcMIgjhw4ECXLl1iuw/5efU5g93VqJmxixcv3vfnNgD48bsv4xOTbpt+H3282OQI\nNifWi852JaNqfvh5/z7NvuFjxj/38P0AsGvXrqCviUoCXVHzFyJJkfIqrM4ap4deYFbHEA3pIurZ\nzz8fF2B6DIQQarZIBRyPPPKI35Gnnnrq6l1ZLN/dG0gYE1T40dmcFAXRgmt+I/TM2DDelB6DWWS0\nq2UxAJCVlZWVlUWf6tevH32BUsgpszrk/EZ8NrZt2+bdzr900butvXYYbDAURe34bgWk9tPs2310\n3+6b+3bt16+fbzwRExdfWVYKAD36DTxz8hhEJU3vlxqwqEa9UXw2QylkFxrt9MTXHJ19QqZ/v7i2\nMJ/FYvWM7xx6sQghhOrCTKMNKDU7jmjM56tqyi1OlyeCg26KTY54Mdvvr/Y4EaesGRNVAk7xcLip\ncosz2HrrABAvZpeaGnfTrImTvdu9Bgzxbnsn39bPUK3z5v0EgNOnTwPAvHnz6N3eA4as+O6nn/ae\n3HE6772v1/28/29Fx76jB/dtVA2DSZVzC6rtAEBRkKuzZURdTUBCeTzLFi2YPWnUvbcOf/HFF8Ny\nO1/YaoIQalcw02gDvj9dfra8hkmAzuYaniJ9fmhihG5UbAqwJGnzU3H4to7Q8YfWRMr4LCE7aNKL\nBCGz6Mpk0RA9vug/0co4bVHB4BGjR4wd7z2uNTlUIbRwyBRRoNOANA6YLHC76LaW4cOHbz52rqqi\nPD4xyTsoBAAYfInRrg24mloTpMj5BQYSAErMDooC3xm857L/3rn5N3p71apVDz74YIcOHcJyU4QQ\naocw4GiA1uSYPzBhUJL4qMa85kwE14vXmkhVncaAWBH7dGnDy6iGwtvaoTGQyXWWbaM5HI7Xn5u/\nrxwgsWumIb3nzCn1F+gtQSgSz3ny+VOlVg6TyKu2AwWHNMat50qtDnfxqQOdxoytv24EQXyz4beH\nd1V1zppy25iRvXr1oo/z+ILE5FQAMDvcc37JeX5Y4gCVuNBIJki4bGZzB3DQY0dSZNw/c/UAcEln\ny4jm+zYwOa6dHBGuuRK4QhtCqH3CgCMob3sA3fAQK2KXWyM4rajY5BiYJAGfOIAeTlFu0TetQO9T\nze/xVmgkk2SBmwfWr1+/b/sWUPeE7re8/OT/PXL35GADM+s+Mv8pr3ltT2G8iKO32kiHM86lq9r4\nORRlL/O4WYsX93ryyfprm5SS1lkFt41+aURKgHQXf+TopTzWm/s0y8amFujtzU/55ZUi4+UbSADI\n0dVkRl1TbPc+/fsNGX7y8H4AmDBhQqdOncJ1U4QQaocw4KiPkXTbnJ44ERsAlCK23uZyusM/jIN+\neBebHIl1MnLGitgV4Y5yNEaya51l22i1E5KrtSBPAIL4W2Poq64vudCWo2fXfvT29u3bx952R/qM\nZweoxAOMx99d9hwAXPa57OjRo082FHAAgFrGLTKQUCea8VDUxgu6BUNUuhrnSzvzO0UL06MCB0xN\nGBURxXLorWTWgB7SWe/MGtLRr6jXP/zyxKF9LDZ77tRbGQwc8IQQQk2H36H10RrtcSI2i0EAgJDN\nFLIZYX/80yiKKjGTKuk1AUfPeFGskKO3u0i3p7GN8Bs3bnxx3uxFj845tPtPv1OXq8wHNnyZ1SP1\nxRdfdFy7lseECRMAACzV4HEPmzqLxQ686Jq3Ml++v2z79u0A8OfGn/ccP50k5R7Y+Ufd6wUNLQNL\nP92TpbwiY4Bui8NFZi6L0SdeNDZdflfXmGNaE93C0TNe1PyF3Tes+pjSF0NMipEtP/HLV35n2RzO\nkJvHPHTXRCazEeu8hAJHjCKE2hts4aiP1uTwHcgZodXUAKDC6mIyCAXP/wHPZzPEXFal1RXK5FIv\nrVb7wAMP0NvHD+7dsOuYIkZJ71IUpTE6Crf/BACrVq1SqVTz58/3vjAzM/PIkSNfrf9tM4dxy9zA\n85Z9Qx/faKbCTqhl3GK+0HskShmrqyjvN2R40Pxd11JLuVtzquse/+V81eROUXTfzozuMWIus2+C\n2Hu2mU/uEk0h8OXQYRAARelL/c7ieAuEEAoXbOGoT7HRkegzG0J5JStG+G9kIhMkHIII8PhUCtiN\nXU0tNzfXd1dbmO/dLrM4PS4SLLXP9fPnz/u9Nj09fcbcR7olxxabG05Ld/uMWd5tp0iplnJnPfpU\n7wFDAKD3gCHvfb1u29+Xln32XYiTO1JkXI2JdF+bkz+v2p5fbR+TfjVp7oRMhZQbtvaGAUNHgq4I\nOg+H8rzUzNouleY3nNQPmzcQQu0QtnDUR2uy946/+sd0rIgToRYOrYlMDDLPswmDVXv06OG7m9ax\nMwDodVXrv/k8l+QLpd2sUPtQHzZsWMASkqRcTaDeDa8ai8VqtTz8zKL4xKSiy7k9bxr5dgk7ScLl\nKtLeXbXGUK2TKRq9pLtCwOYxGZfLDAd//rpUqxk0/OZR42//9bzu1kw5jxWRyLhnvIiaOr2AiPrF\nJO2TGjf77umRuAtCCCHAgCOYK1NUHJM6X7NefGMTVIRIYyITJRyzybh8zWc6ne72228/c+ZMXl5e\nau8hscIu5ZbGTchUKBS7d+9+6/2VBMG4c9aDIrEEAJa//PyxA3ug72SIYd46ZRrTWTNq1Kjp0wM/\nYpOkvL9KgjbkbPt1w/JXXgCAITePWfzOSg6Xe7HKpjQWca+EBU2INmjJMu5n336fvfYjANi99Xc3\nW7CvIuHL2zOaVlooCIKYNHr4L7/mTBjaj8ViATY/IIRQZGDAERRFUcVmR6Lk6lTJWCH7hDbMKzTS\nkY3GQGZ1kL/90tNH9+0GgFWrVl05//W4N9aY5Y1ebsYTnfrC0ve8u7aammMH9gAAKBKhWqsanPbW\n4ufqeblaytUaayeM+D6As0stHo+bjjYA4PCeHbu3/j5uyrQiI1lP6tLQJct4Wy6XeHf3Zl9K6pga\nJ4rsetMJEo6Aw+gYw4/oXRBCqJ3DMRxBVVpdBEC0z5IiSnGkUnFoTY5ojouONvxUXDxVbnFCkDzl\nIeJ754lEJUG1Njk9s/7rVWKOwe62OK5ZMdVisWz+8Ydf1nzre9BqMQNAkZFMChJwhNhgQF+WIuNF\nd+7vPUjEZWRGB44DwtgOwSSIdXd1jnRYgxBC7RwGHEFpTGSihOub+CpWwK6wOigqzKk4SLen3OrM\nUMoCnlVHScrDMXDk4x9+Hzh8FCgSp4zLGjxidP0Xs5lEnIijMV3tynE6nXPmzPng9Zc+e/cN3yuH\njxkPAEUGe3KQZGKNkizjCtSdh46+BQCm3jOHikvvGNUSDQ/0arGA/SkIIRQx2KUSVLHJPzGGnM8m\nCKi2Nzx9I0TelF8KHkvIZb27as1zD94DADNnzqyoqNi5c+f06dMn3zl106+X3RTFbNJq7P+cOrl2\n1ScA0G/I8OeWfz5jw4WH751b/0vouaAqEWvPkb/dibye8SMB4Pz583v37vVec98jT8TExg8aMVoR\nHQMARUbyrm4xTaien2Q5t8xGrXrvUwZBAMC0DRfm9m4ghwdCCKEbAgYcQWmNDr/sFwQBSgG73Nz0\nXpW6S6kBgOZKrvHZt4+dfXtl3ZfwWMwyszOUVdB8nauwOt3uZ++/i949dmAPqHskSER0HrP6mQz6\nE5vXnHC7fjn4/Zm5c99++22FQuF7waDhozt2q50L4/JQpWZHsC6VRonis7lMRonZmSjhVNU4LaQr\nWR6eRdqCwUwbCCHUMrBLJahiM+k7YpQWK+ZUWJuViiO71EL/8x7RGh1J0qDBRI3VquR4cssNjb3R\n1hz94l1FEJteu88Trc13j0kL3HHj5+Cu7VCtBUUiAHz99dcWiyUxMfGBJ2rHmU6b/ZA32gCAEpND\nyGGEKzeGWs4r0NsBIKfK1kHBDyU8QgghdP3DgCOAq8u21WlUUAo5TR5RESxM0ZjswZJwZGdn3za4\nW/6JXa+/tezc6b8adTut2dFfJWbf9Xrtsu+TXuwUI5zRXQkhjFRgsdlQXQwKVe0uiwUAdz/46JYT\n5zcdPfd/T1+TObTIaA/LFBVaipRbaLQDwEVdTccgI0YRQgjdcDDgCMzlocrMtWlG6TU76Id0rJBd\nYQn/amrB+iNWrlwJAHRjw4Zvv6inEN9WE3qjxETO7h17W5cY0f3/Vc55t0OnLi/f0jnEcSAjxo7v\nk5EMsgRgMB944jker7alh8vl0RNeduYZntuW7/JQAFBkItXSMCzfWruiipxbaCAB4FKVPTPIiNEI\nDe3EEaMIIRQ5GHAEVmp2iDhMcZ1uAqWIHZY5I740JjIpSAuHy+UCANBpQJHocbuDtZH4hhr0do3D\nY7S748XceUM7DO+i5qu7Lr+9e+jdE1wef9kHHwq5zP/+tHnUMxYAABgySURBVOfuBx/1O1t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nqIT+5kGbfISHJ8Fqnn8HgAsP5sxchUWbyEJ+YwXx+dUm1zJsmuGefRzOAgRc67VG3P19szoupb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\nQgghFHEYcCCEEEIo4jDgQAghhFDE/T8DVuuNgGYKcgAAAABJRU5ErkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -w 10 -h 6 -u in\n",
    "df <- read.csv('../examples/example_air_passengers.csv')\n",
    "m <- prophet(df)\n",
    "future <- make_future_dataframe(m, 50, freq = 'm')\n",
    "forecast <- predict(m, future)\n",
    "plot(m, forecast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vzVU5M1/DDSPuvUXnj6HDM8hCCCGEePtyghDFyp0Hpq5RaKx0vpE5341ywwil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JRPLy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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = pd.read_csv('../examples/example_air_passengers.csv')\n",
    "m = Prophet()\n",
    "m.fit(df)\n",
    "future = m.make_future_dataframe(50, freq='MS')\n",
    "forecast = m.predict(future)\n",
    "fig = m.plot(forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time series has a clear yearly cycle, but the seasonality in the forecast is too large at the start of the time series and too small at the end. In this time series, the seasonality is not a constant additive factor as assumed by Prophet, rather it grows with the trend. This is multiplicative seasonality.\n",
    "\n",
    "Prophet can model multiplicative seasonality by setting `seasonality_mode='multiplicative'` in the input arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Initial log joint probability = -2.46502\n",
       "Optimization terminated normally: \n",
       "  Convergence detected: relative gradient magnitude is below tolerance\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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BB0IIITRJihV9UXRYIaeXcWt+W0k1go2WVPwcLalOHlFSx5rcZgvwjHtj6hyHAQdCCCFX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\n3Xbbqa++852Xhv7jyycBgMfjueOOO77whSvgpI8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bv1xn0pgstphp9erVERER0dHRb7/9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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -w 10 -h 6 -u in\n",
    "m <- prophet(df, seasonality.mode = 'multiplicative')\n",
    "forecast <- predict(m, future)\n",
    "plot(m, forecast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tkwHZdvCD17Mo6xY+/M6xZe+zHBdyBxXkUb+CXFv/bIW6Cdvx1loDLoqaiZiy\nvSPo9j4dERERtezgwYPbIhj7FqoGbh1JLLuIllIlhARv9q7tul0LIrNl/bKLOTIRCY7rBbog+QF5\nICpDaHGsWjoioVC3NjWCzrAc/P3Ls7i2P4p3jSeXvc9x3Q1fPKxnNOVVkPOaue7yl9myBrnxdyAi\nhjFbMTCWirT9vbqJLRZEREQ7yHRRw5sL1Z73edYMb7JBZsmSEAAIhQQkVRFl3ezKvGHfQtVASpU2\nrJL61e1swP3R8xUdUSmMZES6/Ac3ZKISSpusID/9dgFvZGu4//bRVcG80x7k/ogEKSygUDfWPJvj\nuJgseZc1ASAqhzFf0eH0YNV4O1hBJiIi2kGKmomXZsvQbQe513+BJ5/8QU9aLmaXjFVb2UaQViWU\nte5srPMtVA3cPBzfsKWhL9qY0VwLtoI8X2l9zbSvPyphtqxvaqXz138+BSUcwv9w89Cq97lA20tC\nAEAMh5CJSCjWrTWXhRQ1b7qFv9o6JAiwHW/UXaqNFwjdxoBMRES0g9RMBwNRGY//w5P4P/7Fh2GZ\nvRn7NttYzNEflVfN+s1EZZR0O/BpET7NtFExbGQi0oaX4vyAvFAJNiDPNS4vtrJm2jcQk3Fuobap\nC4QXixpGkwpishf/dMtBWbfguC7CIQGRNs7jEwQB6YiEomatGd7nKgakkICaYSNfNzGeUhESvI1+\n2zkgB9piUSgUcN999+Gmm27CzTffjLNnzyKXy+HIkSO4/vrrceTIEeTzeQDebL5PfOIT2LdvH26/\n/XY899xzQR6NiIhoR6qbFqRwCOef/ynMHo59my4uXTO9PG70RSRU9M3107ZjvsW5w+mIFxxLuhlo\nC8B81WhcGGw9hg3EFJQ1C9omVjrPlY3miwDXdVHQTNw0FMfBvX14/74BJNTO6qZ9UW/ddH2Ns00W\n60goIv79D97A//yffwbTdhCTw80+7O0q0ID8yU9+EnfffTdeffVVvPDCC7j55ptx/PhxHD58GOfO\nncPhw4dx/PhxAMATTzyBc+fO4dy5czhx4gQefPDBII9GRES0I9VNB2JIwJ0Hfw2SLPVs7Nu0fxEt\nJjd/ve7LRL15w91qsfCr2Sv7oVdKRxYnbJibmDfsW2/hSK5mIqVKbVWQB2MyaqaNqt75hI2Fqo6B\nmPdnrOg2huMK9vRFvWkam1j/PBCVUNTMVS0WtuPCsFxYjovv/XIBJd3CSzNlbyJHbf1LfdtBYAG5\nWCziySefxMc//nEAgCzLSKfTOHXqFI4ePQoAOHr0KB577DEAwKlTp/DAAw9AEATcddddKBQKmJ6e\nDup4REREO05JM/E3z15CUTNV/Tn3AAAgAElEQVRx+53vxRcf+f/wu7//xz3ZqjdVrANYXHKxVH9M\nRsWw1+xZDcJ0yatmZy4zVi2zJCBvRXX7+ckidGt524Hd2GTXH5VaWjPt82chz3V4gdB1XWRrJgZi\n3s+jbtm4pj/a0dda62xFzYK+osXCsB1AAH54PtdcRf3TtwveBUHBRXUbz0MOrAf5/PnzGBwcxO/8\nzu/ghRdewJ133okvfelLmJ2dxeiot7llZGQEs7OzAIDJyUns2rWr+fkTExOYnJxsfqzvxIkTOHHi\nBABgZmYGU1NTQf0Rrijz8/O9PsIVgc+pNXxOreFzag2fU2u24jn93UtZnHzmEr79ygz+5NA4rrlm\nL6695hrsGUt2/d/L83N5xKQQ3EoOU1PLe3oVR0fVsHFpchKyFmvr63bynF592/uciFnGzMz6xTfH\ndRESgGyhiEtTU83JC51wXRdvXypA1ePIRBd7badKOhwXiLoGcnMzMEut9eFKZg0A8PbUDKb6Lx/e\nVz6nkuZdoosLOuZmpuEAqOctTBU2P4c6DgO65WByehpT0cUAX9EtVLMlfPPnc+iPhNEfEfGTN+fw\nketVVGsWZmUNNXV79iEHFpAty8Jzzz2HL3/5yzhw4AA++clPNtspfIIgtDz/z3fs2DEcO3YMALB/\n/36MjY1d5jOuHnwWreFzag2fU2v4nFrD59SazT6nystVAIDpCviX37mEz33gBty5K42xsYGtOF5b\nSvZFpKMyhkdGMDaaWva+vcN1ADNwIpmOztbuc6q/WAYAXLdrDGNjqyc4LNUffRFlV0L/4DAG4uuv\npb4c03YgF8OwIhGMjS3++X9ZXQAADPWnMTY23nLf7w1lEcAFaFIcIyOjCLWwYGTpc8rPlAAAE4P9\nQDyNd48lMLpFs4ivGdUAzMFU0hgeGW221CxUdDhFEf84dQH/0x1jkMIhPPLMRYiJfsRUB0MjaWSi\n8sZfvEcCa7GYmJjAxMQEDhw4AAC477778Nxzz2F4eLjZOjE9PY2hIe8v6vj4OC5evNj8/EuXLmF8\nfDyo4xEREe04kyVvIcPf/Pa7sLcvgj/81iv4+XSpJ2eZqzQuoq3RZ9vfHKcW7LzhpWdRxNCySu56\nBmMyCnUT5iYv6VmOi5AgYLZiLOtFPrfgvYhJRcS2Wiz8VpVSff2VzhuZLC6utxbDAgY3Ef5XGvJX\nYa9YFqJbDn54PgvLcXH3TUM4sDsN2wWemyxu2fcOSmABeWRkBLt27cJrr70GADh9+jRuueUW3HPP\nPTh58iQA4OTJk7j33nsBAPfccw8eeeQRuK6Lp556CqlUalV7BREREa1vqqihLypjKK7g3/2zW+AC\neGO+CqsHl6H8UWaRNbazDcQa49QCXsjhmynrLU+NGEwoKGkW6pvsj7VsF4IgwHYclDSvxcR2XLxd\n8Fol0urGEzVWGm4E2qJmwurgAuFUIyArYgjX9UU3dSlvpdHk0rMthveqYePM61lc0xfBjYMx3Daa\nhCKG8PTbhS373kEJdA7yl7/8ZXzsYx+DYRi49tpr8fDDD8NxHNx///146KGHsGfPHjz66KMAgA9+\n8IN4/PHHsW/fPkSjUTz88MNBHo2IiGjHmSppzfDZ17hwVtS8imMHW4Q3ZaFi4Oah+JpTIwbi3Q3I\n823MHR6KyXh5przpC4S26wIuIIYELFQNZKIyyrqFXGMJSToqthVS+xs/13zdRCevd6YaFxVTUREj\nya2rHgOL1e2VAflctopfzJTx4K/sgSAIUEQB7xpL4um3Czi6f9d6X25bCDQg33HHHXjmmWdWvf30\n6dOr3iYIAr7yla8EeRwiIqIdbaas45o+bzKBLIYQk8Mo6Z39Sn4zFhdzrF4SAiwu5CjUg13I4fPa\nPaQ1q9krDScUFDUTNaPzcWoA8Bc/Oo+n3y7gj96/D5NFDdcPxpGrGpivGAgLwFCsvZAqhUNIKOHG\nC572E/JMWUdYEJCQJShb/GppNKECAIp1a9lvK771kjeI4e4bF/u+D+zJ4Es/PB/4Ou/NCnQOMhER\nEXWH67qYbbQSNKuUEQnFutn1gDzbmIG81pIQ/+2AN1lhvVnBW2mhsZhjoxnIvuGEAsN2kdtkeP/O\na/P4r6/MQrNs1Bvzi6fLGn4+XcI7RhKIdTAhw9tY19nPc6akIxP1+o9XzqXerHSjn3rl2X76dh43\nDsYwnlKbb3vvrjQA4Pmp7d2HzIBMRES0A5QaW9YyEQlJVcRMWUNKFb0Kcpd7kP0taevN+k2pEgR0\nJyA7jot8zWgsw7h8MBxptAv4s5M7la0ZcFzg7Ft577JeWcfb+Tpem6/iPbvSbW3R8/VFZW9GcwvP\nbGWLyExZRyYid7RO+nJCoRAyEQnF+uKmP9txMVc2sDu9OCmjali4biCKdETEz6Z6c3m0VQzIRERE\nO4DfYzoYl3HTUBy3jSYRk8PI96CC3FzMEZXXrNqGQwKSqtgIe8GG91zNgO164VJao5q90mjSq3bO\nVY1NrZvON6r4P3wzh6gUxsViHT+b9ELh/l0pqFL7Eaw/KjXnGW/EtB28PFtetnVvrqIjE5EQ6eD7\ntiITkVDQTGiNxSi6ZWO+qjf7k23HRb5uoWbYeM+uNJ6fLMLt0ibFTjAgExER7QAXC14oHYjJUMQQ\ndmeiuKYv2lKg2mrTpUYFOSat++v8TETqSn/0XMVofD+xpQryWCMg52ube2GRb7Ro/ORCHlJYQKFu\n4rnJIjIRCXszUagd9AEPxBWUdasZQtezUNGxUDVQ1BbbRLyLglIgFWTAewHibdPz/q7NlHQYtrs4\nnk4zMZKQoVkuDuzOoKLbzdFz2xEDMhER0Q5wseCtdu5bUrUdajFQbTW/gjy8wazdTFRCWQ++xWKm\n7J3FqyBfPiD7I8vy9eUzfdtRM7xWg5sGYyjpFn4xXUZSEfHspQLu2pMBBHTUYjEYk1HSLWiXGUF3\nIV9HXAo3W1286q3pVZADGmcyEJNRrJvNFosLeW+cnR+QTdfFtf0xCHBx902DePSBOzGR3ppFJUFg\nQCYiItoBLhW9gDycUJpV28G4DN1yujYtwjdT0RGTw0htsEY4E5FQ6UIF2a9mZ6LrV7OXGojJEABk\nq0bHZ8tWved95IZBiCEBPzyfxaWihkLdwsE9GQgQ2pqB7BuMyTBtF0Vt/QkbVd1CoW4iFZGw0FhS\nMl/x1lv3RSVE5GAC8mBcRkGzoJleeH8r1/j7GFegWw5ikoiBmIxURAJcQN7COcxB2N6nIyIiopZM\nFTVEpXBzQgTgVZABYK5RSewWf5rGRv2ufVEZFcMOvIK8tJotCJcPpWI4hHRE2lQFOdvYEDieVnHn\nRAo/fDOHn1zIAwDu2pOGC7ejRR2DjVnIMxv8PGfKGsIhAYLgzWIu61bzxVM6IrVURe/EUCMIF3Xv\nxcHSCnJJs3BNXwSCIGAsqaKyySUs3cCATEREtANMlTSvx3TJr9D9Foe5Ls+c9bbobTxvtz8moapb\nMALuj56t6AgJwFCi9bnDAzEZ+Vrn66b9BSiO4+LXrunDhXwd33xpBjcPxdEXleG6HbZYNP4M81Vj\nzQtujuPiQq6OVGOEXFgQkKsazS16majU0qi7TvjrpvNVs7ExUIMYEpCJiHDhNldbZ6ISHGzfy3k+\nBmQiIqIdYLrkTSmILvkVuh8K/Ytq3TJX9uYOR+X1Y0Z/VEbVsFEzg60mzlUMJBWxrctpg/HGhbMO\nw7tfsU8oIt41ngQATJV0HNybgWbZLW/1W2m4EUKL9bXbPwqaCcN2YLkuqoaNmBLGVEnDVKPNpC/S\n3nrrdvjj8Yq6N5lksljHUFxG3XQwFFeaf96EIkIOheBs4wkWAAMyERHRjjBd0tAXlRBdErwG/ape\nbe2KY1DmqzrSEQlyeKMKsgwXwEI12PaP2bKOZJvjzfxtevUOWwHmGxXkobiCvqiMa/u97Ya/sieD\nqm43N8+1azGE2mu2f1zM16GKIXz226/hf//uJahiGGXdal7gzERaW5bSCb+dp1A3YdkuZko6huMK\naqaN3ZnFy3iCIGAkqQT+wmizGJCJiIg2qaxZeGm61LP1ua7rYq5ioC8qQ1kSkAdiiyuduzULWTNt\nlHUbfZdZzDHQWDcddHV7vqIjqYhtjVUbiisoaha0DnuQ5yte6B+ISQgJAu6+YRDDcRm3jiRguy76\nGz+XdvltCoWaAdNe/vO0HRczZQ1FzcKZ17N4I683WisEvNUIzlFZXHNxy1YYaUz/KGreJIu5ioGR\npAIBi6vFfUNxJbBK9lZhQCYiIupQRbfw7MUC/u9v/DccP34cP/jRj3tyDn/iwkBs+ea6tCohLACF\nevDTInxzFX/N9MaLOQbi3QnIcxWv3aOdnt+RhHfhLNvh2RZqJqJSGMmIhMG4jPveOYrHfuc9EARv\nzXOigzXTgLeBMCwA+bq1qoJs2A5cCHjsxZlmh+/Zt/JQRQEzZa8/XRZDLV1U7MSoX93WbFR0C9ma\ngcGY94Jt5fSQlCohJnf2DLqFAZmIiKhD57NVPPmjH+OP/8WH8Z//4t/hY7/5T3H27Nmun8PvMR2K\nK8vGZ4VCAtIRCQVtdaAKymzZC5V9sbXXTPv6G1XFhYCr7ll/zXQbFUu/lWGmw3XT2aqBhBKGEg5h\nLKlCsx1I4RBqho3huIJQh9XTUEhAX1RGvm6sukBoWA5My8apl2bwvuv6MRQTcfatPKKyiLmygUxE\n6uhiYKvSEe/nXayZeLtQb7xgkxFbo9daFkMYiK0/AnA7YEAmIiLqUN108OpzT8E0DTiODdM0cObM\nma6f42LBG6nVH5VXhdJMVEZR616LhT9W7XIXwvxxdIW6EVh4L2km6qaD/tjaK6/XM57yeoTnO+zd\nzlYNxBURihhGJurN/QUAzbYxkuys/9g3GPcmbKzsjzZsB0+ez6FQt/Dhd45i/2gM/3ixALjekpC+\nALfoAUAoFEJa9dZNv5n1/j72RWXE16mWXz8Y77iS3g0MyERERB2qmzb2H/w1SJKMUDgMUZJx6NCh\nrp/DXzPdH5NWtTUMxCSUNAuW3eWAHJM2nPXr96UW1mgX2CqvzVUAeL3Y7VSQRxshNrdGr28rsjUD\ncdlr61DEMNIRCXXThusKSKmbC4XDcQX5uon6iu2IumXjWy/PYU8mgvfsSmP/WBRVw8YvZsooaRb6\nozLUNi4qdiITlVDUTFxqbnWUEFtnMUlcETuaBd0t2/dkRERE25jrutBsB+/a/178nw9/A0c+9QX8\n+5Nfx8GDB7t+lsni4jKMlb++H4jKKHdhY51vujHibGSDNdOA9yt5r5/WhLEF4X2yUIe1Imi/MFUC\nAKRUccMLgyuNNQJyvu6NLGtXrmZ648waLQ0TKbXxtnBH492WGkkqXgV5xRSIn75dwKtzFdx3+ygE\nQcC7R6IIC8AP3siipFtIqRKiAa2Z9vVFZRTrFqZKiy/YgqxaB2n71raJiIi2se/94Mf47Dd/hmzy\nGrxZdgHcgCNDN/TkLJPFOhKKiOQaq50H4jLKS1YAB22mrCMqeVXTjYRDAgZiCrK1rWmxeGW2gqJm\n4pYRb+5wSTOXjzfb4MLgSv54vFy1swpyvm7i9jGxWbX2loO4GE22vqxkPSMJFUXNQllf/vP862cn\noYoh/LObhwEAcTmMW0eTeOLVOQBAJioum3AShMGYjPPZKqZLOhQxhIQsNV8kXGmuzFMTERH10Nmz\nZ/FPf/8L+EdhL86/+SYOj3r/nC5UjMBXJ69lco0lIb7BmIKKYa2qOAZlpqR5UyNa+HX+aFJBrmpC\ntzZ3Nst2YDoOLuRqmG1ULy/m66g0QmR/tL2LcVI4hJQqItfBeDzDclA1bKSWtBDEFBGjKRX9sc0H\n5NGkAherLxA+e7GAu3ZnkGi0cBTqFu7anUa25q1+zkRW96dvtcGYt2BltqJjKC5DCAmQA/6eQWFA\nJiIiatOZM2dgRdKAY0P46h9g99yzAICi1tmv5Ddrurh6SYhvMC7DcReXVwRtrmJ4m+Ja+HX+aFJF\nvm6iZmzumZmOC0HwQuDPp0so1E1cKmrI1b0/83Ci/bnDAzEZ+brZdnU7W/O+ZyoiLut7ftd46rJV\n9Vb47R/ZmtlsKXFdF7MVHRNp7301w4bjunjXeKr5eZno6v70rTacUKBZDiaLWmMSiLtsqsqV5Mo8\nNRERUQ8dOnQIoeQAUC9BEkX86sEDEAAUdbNrl+GWmq3oyESlNVc7+xvOZivBbqzzzVV0r991gzXT\nvrGkd+GsusnqtvfMBchiCCFBwPOTRdiOiydemcOdEymkOgimg3EZxbq39KId/rKY9IopHlu1wc6f\nsJGrLY56myppMG23OZ6uYlgYjsuYSKvNS4GZyMZj97aC35pyqahhOK4gLAjb+iLeRq7MUxMREfXQ\nwYMH8a5fP4K+qIy//OpjuGP/ASRVEcW6tWo+bdBsx8VC1UB/dO3VzsONgDxf7k5Anq8aSEfEDddM\n+8ZTKqqGjfwmq9umbTdbW9IRCYbt4IWpImYrBn7zHSMdzf8d9rfptdD+ka0ujoPz5zonVTGQbXET\nKW9ts9cf7YX3842xasMJBabtQA6HMJaKICQIOLA7A8BbGhPUmmmf/3fNdlwMxOVtvwxkIwzIRERE\nHaiHo7hu9xhuv/O9ALwKXVGzVk1SCNpcRYfjAgMxZc0LUUOJ7izkALz+25JmIROVW5oaMd4IexeL\n9U1933/196/g977xC9QMv+dYxtd/PoPRhIL37k53NDnCWzftzVHeSM2w8LPJIkqaBQCYb2zfS6vS\nqg1yW2Ei7YXQbN1sXiC8kFsMyEXNwnUDMUSkEFQpjH/+ngl85v3XQZFCgZxnqeEllxAHovKaPfFX\nCgZkIiKiDsyVdQzEvPBpWA7iiohczejaODXft3/0jwAAbe5tSGsEIP+MuboZ+AXCxTXTrfW77m70\nzM6W9E2d7aXZMi7k6vj8P7wO13Vxbr6K5yaLuO+do3CBjirIIwkFddNBobbxC4vJooZczcBC1fuz\nzzX+uz8qBbLWWZVEJBUR2SUV5Lcbc7AHYzJceK0WgiBgJKFgKK7gnltGujJubelov76ovO4M5CsB\nAzIREVGbbMf1VhirEuYqBjTLaVbvjDZ7Vjfj7Nmz+N3f/yMAwH/6wmfw7NM/XfUxfkAudDjTtx2z\njTYOb3Pd5cPh7kwUALCwyVFv8xUDqhjCE6/O4dRLs3j0hSko4RDufccIXLgttXus5PfzTm+wbtqy\nHZzP1TGeVHGxoMF13WYFefAyc6A3YyDmbdPz+6PfztcghQSEQwLGU5FmxXwwJsOwHViOi0jAS0IA\nLBtj1xcV192idyVgQCYiImrTQtWA4wIJRcTtYwn8k+v6MZ5SvXnDXQzIZ86cgakkAABWcR4/+uEP\nVn1MtLHRragFf4Fwcc201FL/7e6M12KxUDVhbCYgVw38xg2DeO/uNP6v77+Bx1+dw903DTamRght\nLQnxjTYuw81VDTjrVLfnKjps14EqhVFvjHdbqHphPakGVz0djMvI1RfXTV8saBiIy7AcF7vTkebH\nJVUJggBYjtOVCnImKjd/izEQV67YCRYAAzIREVHb/CA4EJeRViWEQgKGYjIqhoWaaXXtHIcOHUI4\nOQgAkMwq3ve+9635cZmohGIHM33bNelvUItuvGbaF1dExOQw5it6Rws5AK+9paxbGIzL+JMP3Ii4\nEoZuObj/nWMAABfoKKj549QKdQvmGpV313Xx+kINyUaVNAQX2aqBhaqBuCJCCXBBxkhCQaG+uE1v\nsqRhKCZDlcLLJnbIYggpVUJFt1sau7dZgiAgFfHWS8dk8YoOyFdu7ZuIiKhHLjU2tHmtBF4IGIwr\ncFxgrtydecOAN03jA/eV8L0LVfzFX//dumuuB6IySlrw66ZnSl6LxXAb7QWDcRkLVaPjCrLf99wf\nldEfk/HlD92KF2fKuHEojpphI6V29qv+5rrpmrdNb+WXyNdNVA0LP3wzh6mShv/1wG5cKtaRrRpI\nKGEoAQbS0aSCXM1svhibKWm4fSyJ2BpV4tGkigu5etcuzGUiEhJKGHABWbwyl4QADMhERERtu1T0\nKqWZJcsg/J5V/5JWt9hqCsOZMA7c9Z51P6Y/JuNioR58QC7rUMUQMtHWF3OMJLxten67QLv8vme/\n1/qGwThuGIwD8OYB79+V7ujrNqd/1NZeFnI+W4PgAl/58QVUDQtH909As7yRe7FGW0tQRpMRWI6L\nuYq3LGS+amAwJiOmrA7B3obFUCAj59Zy5MZB6KYNCG7gi0mCdOWenIiIqEemGq0EI3G1ucJ4uBGQ\n/Uta3TJb1pGKiIhsUCHsj8ko6xaMTa50bu0sUlsXwsaTKnI1A1Wjs9aUmUZAth0XJc1svt2wHKhi\nGP1thPWlFDGMpOpNJjFWtH9YtoP5ioEfXcihpFuwXeAnF/IQBC8gJxURcoAV5LGk/3dNx4V8HY7r\nVdDXmjucUESkI8HPQPb9b7+6F/e/cwyqGG5rvfd2w4BMRETUpumSjuiKfk8/IGc3uNQVhNmKjnRE\nQmSDQDbYCMhBXyD0tuiJbbUXjKciyNctVDusIPsvVkZTCizHbS72KOom9g1ENxXShuIyclXTq4gu\noVsOXLh49IVpXD8QQ19UwpNv5hCTRBQ1E4mAloT4JvxtenUTr89XAHj98GtdxAuFBFzbF11zDXkQ\nvAuL9hU94g1gQCYiImrbdElDJiotq9r6a3bzXbgM53NdF/NVA30Rac0lIc2zxWTUTQelurnux2yF\nuYqBlCq2tGbaN5FWYbtuM+i2a8av5icUvHsi7W0ztB2EBAEjjT7iTo3EFeTrBmorKu+G7eDF6TLO\nLVTxkTvG8GvX9OEnF3IQBBdl3Q5si55vIr24bvrNxpKQwagCeZ1pHbsy0Q3/fmwlRQxBtxzEr+At\negADMhERUdtmyjrSqrislWBx3rAZ+LxhX6GxTa0/tvGv0Af9mb4Br5uer3rV7HbmDk80xpJNFfXm\nuuZ2zFYMKGIImYh3Se+moTgmSxr2ZKKbbisYTanI1VZv0zNsF998eRZJRcTdNw7i16/tR8Ww8cM3\n8wC8S5FBbq3blfLmR2erJi7kvAujAwl5W0yNkEICHBdXfAX5yo73REREPTBX1rE7E0F0SSuBIoYR\nl8PeWLCA5w37pkv+BAdlzS16vuFGdXsmwIBc1kwU6hYGYq2tmfbtaQTkhca0iHYnH8yWvbYO/8XK\nNf1RWI6LXZnIZT7z8saSqjetQl/eH/36fAU/uZDDx949DlUK48DuNOSwgL9/eRYAAq8gJyPeJcBc\nzUDNtKGKIcTlUNeqxBsRw945OlnvvZ30/kkSERFdQVzXxVzVQF9UhrIiBPRFJRS07rVYTC+ZO7xR\ntdQfuzZf1QPpj3YcF0++mW2cRW5resGe5rIQvaNRb7MVHSlVavY9C4KAG4biW7IYYyylwnEX2zh8\nJ5+5CNcF7ru9MWvZBd67O4On3vIqyEmltUUpnRIEAf0xGbmaiemShqGEgnAo1LWLeBsRQwJUcXuE\n9c24sk9PRETUZSXNgm45jbaG5SGoP9adecO+yca4ub41zrKUv/b429/6Fp788Y+3/BxvZKt4M+v9\nqj8dEVtaM+0bSaoICcBCZe1xapczXzGQbLPvuVXjjR7mmbIOe8nP9PS5LPbvSmE8pcKwHORqBu7a\nnYb/Ecmo2NKilM0YjMvI103MlHUMxeRt09IghQVExNC6/dBXCgZkIiK6opw9exaf//zncfbs2Z58\nf79qOxhbXSkdbARk0w52nJrPD8jDMQWCsH4gufDqzwEAP/zB9/HBD/zGlj672ZKGcwtVOK4XbjMR\nua3qaTgkoD8qY76qrxqn1or5itcPLrXR99yqXY32j9ySWchu40Lhdf0xAN60jIl0BHeMpZqf1+lo\nuXaMxBXkaybmKwYG4zKi2+RSnBjy2iu2Qz/0ZgR6+r179+K2227DHXfcgf379wMAcrkcjhw5guuv\nvx5HjhxBPu/9OsJ1XXziE5/Avn37cPvtt+O5554L8mhERHSFqeoWvvW9M3j/4cP47Gc/i8OHD/ck\nJPvrlDMReVWldCCmdGWcmm+qrEEOe79u38jPfvIk4NhwIykYhoEzZ85s6vvajov5io6nLuTw7GQR\naVVCvub16fbFWlszvdRwQkG2aqwap9bKOfJ1E+noxhX0Tu1utH9kG5chAa/nWbMcjKdU2I4LAQKu\nG4ihLybhlmFvQcnQZX4eW2E0qWChZqBQNzEYU9bcotcL4ZCAPZlo4BX0oAV++u9///t4/vnn8cwz\nzwAAjh8/jsOHD+PcuXM4fPgwjh8/DgB44okncO7cOZw7dw4nTpzAgw8+GPTRiIjoCnI+V8Oj3/oO\nDN2AbdtbEvQ6canQaGtYo+93MC6jpFuod7j0ol3TJW9qRPQyq5Tf/75DQCULpIYhyTIOHTq0qe/7\nzMUCnrlYgGm7GI4rUMQQzjfGjfkbBdsxmlSQrZltz0LO1Qw4bvtV61aNN+YNZ6sGzMZkktcXqgC8\nFc4l3cSeTBTpiIS4IuKDNw1hbyaCtBp8NXc0qTbmMQP9MWnbtFgAXu/2la7r8f7UqVM4evQoAODo\n0aN47LHHmm9/4IEHIAgC7rrrLhQKBUxPT3f7eEREtE1VDBu/+mu/DkmWEQqHIUmbD3qdmGq0NXgX\no5aHssG4DNtxka0FO2/YN1v2l4Rs/M/5wYMHcfPuEQze9C78v3/7TRw8eLDj7+k4LvJ1A0NxBdFG\nKPvFdAn/6WeT+CfX9qEv0n71dLw5Tu3yAblm2M1xcP6a6b6ANsVJ4RAyEQnzFaNZQX4j678QkGHa\nbnMm8XhSxZEbB/HwR+6A2oWwOrpkxvNAzHuRQlsn0KcpCAJ+4zd+A3feeSdOnDgBAJidncXo6CgA\nYGRkBLOz3kiUyclJ7Nq1q/m5ExMTmJycDPJ4RER0BanpFu54zwH85Vcfw8f/5Wfwl//l1KaCXqem\nyxqksIDBmLTqff60iAGnNTcAACAASURBVNmA5w37FkecXT6Q3bxrCIgP4sbb92/qe3qV1MUXBoW6\nic88/ipG4gr+4NB1ba2Z9k2kIqiZNrK1jdd0a6aNl2dLKDfGrvnPuT8e3NSIobiMXG2x/cOvlKdU\nCYNxBfFG9X4gLsN2Xdiu25WwOr6kSjsY23hRDLUv0N8B/OhHP8L4+Djm5uZw5MgR3HTTTcveLwjC\nhpcK1nLixIlm2J6ZmcHU1NSWnfdKNj8/3+sjXBH4nFrD59QaPqfWbMVzclwX+fk83KiE3Xv2YGTi\nYxAg9OTfgPNzBaTkEIxiFlNTywOdbHq/fn9rahZTw+0Flk6e02y5jl2xKErZOUxpG1duByQbC1UD\nF6emMBKutf29fDXDRjVXglQX4bgu/vX3p5CrGvizD+yCXc6iBhVTqLb1NRPwqvKvvTWJdyTWb0+Z\nLNQxM7eAV95QsSsTwctve6PlFL2CuZnptjNFK/oUYLpcx6WpKYhaFK9cWkBUCkErLCAeSWBqynuW\nruvCKBRQtl30u1FMGaUtP8tSqrH4jKNmCbk5EZUlIZn//7Q5gQbk8fFxAMDQ0BA+9KEP4emnn8bw\n8DCmp6cxOjqK6elpDA0NNT/24sWLzc+9dOlS8/OXOnbsGI4dOwYA2L9/P8bGxoL8I1xR+Cxaw+fU\nGj6n1vA5tWazz+livoa/Oz8Dw6qjpFtwXOD3fmUvxsZGt+iErcsbbyITUzE6OoaxkcSy991sRQG8\ngVo4jtHR0bYDWzvPSbdslHQHQ5kkxsbGLntR76aJOtzn5lEIJzo6my9XMxCpy3g1W8PXnp/C01NV\n/OH7rsOBG8ewUDUwPhLHWDra1te8tRgGcBFVMY6h4ZE1L3jZjouXKwuYGBlCVUpidHQA2mteON07\nMYLx8WD+LuwZmMar2XmoqQGMjaUxq5/HSEJFZnAYN14zsOw5lsQkfj5VwujYAIY76MVuRyiuAXgV\nKVVE/+Awdk8MIbSiis7/f+pcYPX4arWKcrnc/N/f+c53cOutt+Kee+7ByZMnAQAnT57EvffeCwC4\n55578Mgjj8B1XTz11FNIpVLNVgwiIrq6feGxn+CrP5vCd16dwS+myzh9bgE/nyl1tJp4s2bKOjJR\nCZE1+kwHGxvr8poR+CzkubJXve5vcYLD3j4vtM6W9U1t+vvBG1kce/Tn+L1vvIgXZ0r43YN78OHb\n/X+v3bbWTPt2N8apZavmustC5iveIhFFDEG3HBQ1CzNlHWFBwGCAUyPGUioKdRPlxsXLSwUNwwkZ\nCUVc9SJjOOH1Age5JMQ3FPd64IfiCuRwaFU4ps0JrII8OzuLD33oQwAAy7Lw27/927j77rvxnve8\nB/fffz8eeugh7NmzB48++igA4IMf/CAef/xx7Nu3D9FoFA8//HBQRyMioivI2bNn8R//5r8At34A\n+n94AJ99+Bv4w38E8jWzo9XEm7VQNbBvIAZ1jZ5PP6gVat42vSAnb02XvbaEgbjc0gW1axsBea6s\nQ7ecjntWv/TkeVRNC//2Azfi8PUDy/ptXQgdjVtbuk1vrfDuui5eX6iiVDexkK3jpt0ZzJb1xR7s\nAGcAj6dUuPAmhriui+mSjttGE4gpq3+4KVVCJhrsFj1fKCSgLyKhP3b5KSbUvsCe6LXXXosXXnhh\n1dv7+/tx+vTpVW8XBAFf+cpXgjoO0f/P3p3HyVHX+R9/9X1fc5+Z3CQEQiAhYUIIk4RTUdDFRV0V\nFZdddT347c/lp/tw3V0PxANlvRBERXfFAxEQBFYCg5B0EhJIAoSQTM65j57pu7uquqp+f1T35Jgj\nMz3Tk0i+z8eDxyNkmqrqmkz41Lc/3/dHEIS/Uq2trWiuECQiqIrMgZc3AysYzBjDG2Zyc5KUU4ll\nc8Y45VGKUo/DitNqZiiTQ1G1aRl3PJbO4+PmJlCQzS3PF8jJ4kY6F3THs5xb7eNti6tO+H05p2EG\nnEW8Z5/TiCnrH2MFOZpRiGcU/v1/99EVy/Dk3zfSHs3Qm5Dwu6ynTPGYioZ8WkRfIktvQiKtqFR7\nHXhHKcotZhNzytw4i9ioWIx/vnwuZrMJzwyd72wi7qggCIJwRmtpaQF/FSQjWG12Vq2+FJ/DylBa\nRpmhkc4FPXEjNaHCM3JISEHIbSOWVUreYlEYWFLmto+ImxuNz2mjzGWjNyFPqUDuTUojBmGoms5g\nRmFZvb/oh4JKj52BlIQ8ypCVg5E0+wfSvNmfIiFrvNwZQ1E1ehISAYe1qKJ8ohrzq9uDGYU3+5LG\ntXrtY77PWSE3DuvMZBK/c0kNc8vceM6QKXpvJaJAFgRBEM5ozc3NhGafw4LGGn704CMsXb6ScreN\noUyO3BQKvWK0RzOAMZhhrLaGcredWDZHbgp9vhNRyGOu9Y4/Zvp4NX4HvUmJVJGDTDKKsYJ+/AY0\nXdfpT8ksqfFR5St+QESN38FgauSwEEXV6E9JPPp6DwGnFbfNzJ/3DWC3mOlPSvhdtlHbXabL8f3R\n+/qN5Ihqn+OMiFVz2S1IOW04j1qYPqf/uysIgiAI41A1nZgMq1dcyNLlKwEo99iJZpQZX0HuiB1b\ntR2rraHSayeeNdo/Sqk7IeF3WPE6R+Yxj6Uh4KIvKZGSJjexrqArZjwgVOXznnOaTm9SYk6Za7iP\nuFh1fieRtEz6pGEhUk6jJy7x/MEI7z6/ltUNHp4/EMFpNTOYUQi5StvzW+N3YjYZvecHIvkC2es8\nIwZzOK1m7Pl/hOkl7qggCIJwRuuOZ1F18DutDKRk+pMSXoeFSEomM8nRxFPVmS8Qy922UaPIwGi/\nSEgq0iitAtOpJ541puhNov90VshJf1ImLhU36e9ovu+5MDwjmlFYXOVjUZVvyhnEDQEXQxmFRPbE\n1W0pp/HHPb2YTCZuXFpLS5OPuJTjLwcHUVQ93+5SunLGYjYRctkYSMkcGcrgtpnx2s3YS3jOibJZ\nzLhsZ8a1vNWIphVBEAThjFaYXFbhcbCqKYTPYeUPr/Ww7WiUTG5mC+T2aBaz6cQxvyer9NhJZHMl\nvzZjzLQV5yT6XeeVe8hpOp35lfDJOjpkfC/MZhO1fqeR5jFN/b/1AQeaDl3xE69tICnx1N5+Nsw3\nsoUvqnXjsVv47S5jSEzZDKRGVPkcDKZlsjmNKq8Dh9Uyob7vUrNZTDhtFlEgl4C4o4IgCMIZ7VDE\nKMoqPXZcNjMWs4kan5OMojF4itHE0+2VtnZcWpaDr+0Y8zVVXgeSqhFJlu7awuEwbV39mDJx3PaJ\n/6+8kIXcHZeKagFpz68gV/scLKnxTevmuMZ8r29vIot6XOvML3Z0kFZU3n9hnTFRMa2wdm4ZO7uM\nSXVB19j94NOlxudgMK3QFc9S4zs2Xvp0s1nMuG2WoqL1hPGJAlkQBEE4ox3Nb4yr9NqwmY3/bdX6\njR7Yrpg0Y9cRDod5YftuUp0H+OT73kU4HB71dVX5DWzdidJc24ubNrNuwwYSOTOvPvsYu7a/NOH/\ndjgLOSmPmhZxKh2xLA6rmQq3bdrHOhfSIiLpE/u3H3mth0VVHs6r9RPP5vA7rTQ3hYa/HnRZS76C\nXOd3MphR6E1IVPsco2Ygnw4Oi5mGgKskI7bPdqJAFgRBEM5oR4cyuGxmytz24Wlh9QGjxaE7Xlyr\nQDFaW1vRveWQ6EdRZFpbW0d9XXV+ml5/Up72SX898SwPPPwnZGxgtaEnI2zd9MKE//t5FR7AaM8o\nJuqtM5ahzG3DU4IV1KbgsQK5cG26rnNkKMN5NX4AZFWj1u/kgjo/3nxyQ6XbUfIpcvV+J/FsjpSs\nUjlGBvLpYDabhh8shOklCmRBEAThBOFwmDvuuGN4hfTkf59pR6MZKjz2E4qS+nwPcCQtn/BxfCld\ndvnl4C2H5AA2u93IZx5FIQItmpGnNNL5ZGk5xyudMS5efRnWoDGkw5JNcHnL5RM+RpnbhtdhyQ8L\nmfy1dcUkyt1jZwBPRV3AhdlkjJQu3Le+hERKVmkMusgoKn6HlRqfA7fdytp55VhMUO13nOLI03Ft\nx3rOq8bJQBbeOs6MRyBBEAThjBAOh9mwYQOyLGOz2bnjW9/mC5/7Z2RZxm63s3HjRpqbm2f0mjpj\nWSo89hN6bQsFy2D+43iLufQFy5xzLwTLM6xavpwvfemjY96HQgTaU08+QbPjYjZcftm0nL9tIIXN\nbGL5ylV89mvf45uvKtz6T5/l0tWrJ3wMk8lErc9pTIQrIgGkJ5FlfoWnJIMpLGYTFR47/aljg0z2\n5gdzNAScJCSVZXU+9JREnd/Bh1c0sG5e+fBKcik1BI8VyNU+u4hVOwuI77AgCIIwrLW1FVmWUVUV\nWZH55a9+iyTl/10eu62glLri+QLZdqwoq/Q6MJsK/aozs4JcyMB927VXs3qcorR9724ANm/ewjuu\nvXpaVt6H0jJ/fv5F/vDT77N7xzb89XMBWLb0vElvUGsIOGkfiPHdb915yms7vhdY13X6kzLlbnvJ\nBnNUeR0MpuTh4v3N/GCOWr8Di9lEZf7ho9rnxOuwsbwhUNIpegWFDYSFc58JGchCaZ3yO/y9732P\noaGhmbgWQRAE4TRraWnBbrdjtliw2exc847rsdltWCwW7OO0FZSKlFMZTCtUeuwnTAsrZNMOpmUU\nbWam6R0aLGwWHH+K2tYXn4dsAt1bNi0PFZqm87unnuNfP3oj93z7a/zjrX/P77ftB4zM5cnGjTml\nGL3xDN/7xlfZsGHDmEWyompsPTJEUjJyiQdSxmjvKm/pVlBr/Q4iaYV0ftJf24CxguxxWJhT5hrO\nng44rVjMoKj6pGLuilXoj3ZazfjtIlbtbHDKz0h6e3u5+OKLueiii/joRz/K1VdfLXZLCoIgvEU1\nNzfzzDPPcN9DT3DZZWu5YMUq6uaew/6dW7jpHdfMeHtFRz7BotrnHFGUlXvsDKWVko90Ljg8WIib\ns41bILW0tGD68Q50X8W4vcoT1ZvIsvmFvyA7/OjrP4S88FJ2D+Z4/4UNwyuqkyH1HQZ7A7rdhSxn\naG1tHfX72huX6E5kqYw5OKfKOxzxVuF1DKeJTLeGgJNNh4ZIKcZDz4FImnK3kV5Sd1z2tNVipsrr\nYH9/sqRjpgsqvcYKdo3/zMlAFkrrlH+qvvKVr7B//35uueUWfv7zn7NgwQK+8IUvcODAgZm4PkEQ\nBGGGLV+5iptu/QwXrFgFwAUrVvKBj392xotjgIOFotRrH1GUVnsdDGUUZHVmhoW0RzO4bRbKXOOv\n2jY3N7Ns4RxCc5fw098+NuX79mZ/itVr1sJVn4F5K7HseoJvrnTyj82zcU5iil7B6vMWAmAK1o75\nqYCm6eyPpKj1OTkazZBTteEhIeVuG3ZraQrE+oCLtKIO51sfGkxT63fitllGJGfU+Z2YTKYZ6Qc2\nm01UuO1Uec6cDGShtCb0p8pkMlFTU0NNTQ1Wq5WhoSFuvPFG/uVf/qXU1ycIgiDMsCODaX7+Ujvb\n26Nouo7VbCpqQ9d0OFxoa/CMLJBr/A5i2RxpeWZaLAppGu4JFEjnNtWiuYIsuGD5lM6pajpZRUWt\nWYjeeD5rHH3c9+n3cPnqVeQ0rag0hSsvWQZAy3tv5U9P/++oBfxASiarqLhsFnKqxmBaGc6jrvDY\nSreCnG9l6Ipl0DSd9miWer8D3yj3POiyEXSVfopewT+3zOXd59ecMRnIQmmd8qf87rvv5he/+AUV\nFRV87GMf45vf/CY2mw1N01iwYAHf+MY3ZuI6BUEQhBnym51dw/9Ue+1cu6iKdy+tPS3XcnSo0Pdr\nHzEtrMbrIJY51q9aah3RLJVeO54JrNo2BJzEsjli2aldm6xq6MD3Nx2m2ufgzpvfN7xBTNV0XEX0\n386vMIaFLFh9JRddfO6Ir+u6zv6B5HCsnsdu4WAkRUc0iwmo9pQud7gxUIjvUxjKyAykZGr9TnzO\nkeWK3WqmPjBzG+auX1LDzq4YvjMkA1korVN+lwcHB3n44Ydpamo64ffNZjOPP/54yS5MEARBOD0O\nDqZx2yz86xXzefS1Xn6+vYP5FW6uXVQ1vElqprRHM/gcFoLOkZPbavxOFE2nP63MyLV0x7Nc0hSa\nUMRZfX4ltD2aQdf1ovfuSDmNzYcH2dOb5ItXLjihGFR1HVcREWc1PgdOq9nIQh5lml40oxDLKPx8\newdtAynuvXEp/SmZI0NpAi4rPpetqPcyEU1l+WEhKYXXe4wNelXjjHZeXO0r2bWczGO3oOr6jKRm\nCKffKX/K/+M//mPMry1evHhaL0YQBEE4/Q5F0tT5HVx9ThXn1fi5/mcvMZCfbjbTBXKhrWG0j7WP\njZsu/TS9jKISzeao8jpOSNMYy+z8dLOBpERO00esfk/4vLLKA9s7mB1y8fbF1Sd8TceErYiVXLPZ\nTJXXTn9SHnVYyMFImpSk8vCrPaiazpv9Kaq8do5GM5S57bhLWCDOyj9YDKTk4QzkQkF/utmtZlxW\ni4h4O0uI77IgCIJwgqPRDLX5xIBKjzE2eTA1vVPhJqowJGS0XttCqkFvQpr2kc4nKyRYVPvGj3gr\naAoZbQz9KWXUVdqJ+tXLHbRHs3x89ezhXtucphPPGgNSin1gqfU76U/JpE5qT1FUjf6UxONv9KHr\nRmH/+J5e/E4bPXGJcrdtQg8IxfI5bXjsxqS//f3J4Ws9E4pSm8WMy2YRQ0LOEuK7LAiCIAzTdZ2u\nuERDvhfUbjUTcFrzAzlmZjPc8XrikrGCPEpbQ+EaBzMyuRKPmz4YKaRpjB/xVjAn3yrQn5RQpnBt\nj+7ppSHgZP38cgD6khIpKUel18HKWSECo/TmTkR9wEl/Uh6x+VLKaaRljYdf7Wb9/Aoun1vOk3uN\nYnkwreQHtpS2xaDKayeSljk8ZLT6+B0WHDOQdXwqNrPJKJBFBvJZQXSaC4IgCMO6Y1mknDacJgDG\nBrlIWp5SoVeMtJwjLhltDaOtINcWCuSUUbxPdqLcZBwazkB2TKhA8jlteO0WY2zyFFaQO6JZ5pa7\nMZlMJKUcZW4bK2eFpjyPYFbQRTSjEM2c2L+dVVSefrOPpKzygYvqiWZzPLN/gGfbBohLOeP9l3gF\ntcbnJJKS0TSjjcZ5huQOFx4Wz4RrEUpPPAYJgiAIw/YNGKN9y9w2IikZKadR6XEwmFbIzHDU26HI\n8UXpyKIklI/4GkyXvv3jyFAaE1AxSprGWKp9DvqTMlKuuPum6zrd8exwK0lKzrGw0jstw7pmhVzo\nQHssc8Lvx7MKj7zWw7I6P+fV+rmkKUS528YDL3UAUH6KISnToS7gJJKW6cq/99ESLE4Hm8XM0jr/\n6b4MYYaIAlkQBEEY1pYvkEMuG41BFzlNx+ewMJCSyRRZ6BXrT5u2A5DuOThqUWYymajw2BlMKyVv\nsWiPZgi5bQRGSdMYS63fwUBKJqUUd996EhLZnEZDwElSylHhdRBy24s61slmlxk90j1xidxxrTMP\nv9ZDX1LmA8sbAGNgyLWLqoYfnMo9E39AKFZDwMlQRqE3IVHrP7MGc4hJwmcPUSALgiAIww5Ejm1G\nm1PuZu28cs6t9hHNKCSmmOk7GeFwmH/96rcA+MkXP8mObVtHfV2lx85QpvT90UeHslR67Hgm0X/b\nEHARScmkpeIK5P35orQu4CQlqyyo8BR1nNHMKStsIpSRj7t3v3q5k4aAk7Vzy1BUjd6kxPoF5cNf\nr3CXfgW5PuBE00HRdKp9DvxnUIEsnD1EgSwIgiAMOxhJEXLZcNmOxVk1BI2CZSbi1ApaW1vJuUOg\nayhDvbz4wvOjvq7K5yCaUchOoc93IrriRoHsnsQUtcagi2g2R0wqLqf5QL5ADjqtVHrt07Z6DDC3\nUCAnpeH2FE3TeLMnTiB+lNdefolYNkdTyE2Nz8WiKi8AlV5HyaP+Go/rf6/xOUTusHBaiAJZEARB\nGHZ4KEONz8j6LXycXB8wCpbORLbkcWoFLS0tmII1kBzEbjGxbt26UV9X7XUQzZZ2mp6qanTHs1R5\nHXgnEXHWGDR6h9uHMqd45egKyRl+p40Fld6ijjEWvyu/iTB5bAX5j8++SFqFPc8/zsffdwNvvPIS\n51R5sJjhwysaWN0UosIzfUX6WGaFnMO/rvE7zoiIN+HsI/7UCYIgCMPao0aBfHysWqHQi6RKH6dW\n0NzczMJV66jy2vnRg4/Q3Nw86utq/Q7i2RyxzPQUyF2xkQ8BBwfTyKpOlc9IVJioQhZyX1I+oc93\nog4PpvE7rHid1qLj3MZT7XPQd9wmwkdfMHq+9Ug7iiLT/vpLuO1WGoJOVjQG+frbFw+Pny6lpqBx\n3yxmE9VeUSALp4f4UycIgiAAkFM1ehMSNb4TV0oLBUskNbNZyFHNzpIFc7jkktVjvqbW7zDaP+JT\nb//IqRpv9CYYPGl09Y72KGD0O08m4qwpP03v5D7fiTo8lKHa58Bts5Rkc1id38lASiaZTyfxzzkf\nAHOsB6vNxjuuvgKAer8LWdVQNG3UuL3pVuN3YjYZ7RUOq6Wk8X2CMBbxp04QBEEgHA5z+1e/jaZD\ntd9xQrRWjd+B2WSM/52paXo5VaMvKVHtdeAZp62hMPGvLyGjTnF1W1Y1UrLKvv7k8CqynNPYkx95\nXOWzT2qD2vBGuOTE7lvmpLSL9miGap+9ZCkODUGjQC5sIpS81VhM8KEPf5j7f/tHWi5bA4DfacVj\nt5KW1ZJO0SuwmI10khrfmZVgIZxdRIEsCIJwmvXGs7QPpac0UGIqwuEwGzZs4Ls/+xUAUs/hEz7W\ntlrMlLnt+QJ5Zq7x8GAaTT/1Jq36wrCQbPF5wwWKqmO3mhhKKwzlB2j0JyVe3dsGwNDBPZMqkP0u\nY2zyRFaQE9kcr/fEh3upCxnI1vQQ//3D7xAOh4t8V2ObFXQRl3IMZmQA9venqA+4+NuPfYrrr2wZ\nfp3JZGJOmYuUrM7Yhrnb1s7hhiU1+CaxKVIQppMokAVBEE6zzliWVzrjPNc2wN7e5JQLvclqbW1F\nlmU0byUAfW++jOOkQrDKmy+QZ6gHuS2Syp93/Mlt9f7CND1jqMlUGEWsCa/Dwr4+YxX5j888zx8f\nfxwUia/8w3vYunXLpI5pDAuRTvnw84f/fY7/vv/H/GnjXwBjoqGs6rz4u/u5+86vsGHDhmkvkmfl\nW0CORo2+64ODKRqDTtw2y4jhHJX5DOZSZyAX/O0F9Syo9OCbgZ5nQRiNKJAFQRBOs4SUo8prJ+Sy\n0TaQpDsuzej5W1pasNvtmIK1oKlcsuKiERujanzG8Ib0DE3TaxswEhxq/KNP0SsojMTuTcrIU2z/\nuG/LER57rQeP3cpQWuHoUIbwphdQZ6+Azj2oikJra+ukjlnryw8LGee+PdP6An9/0zv5/f0/4APv\nfjubNm0eHsyhDnajqiqyLE/63KdS2ETYn5DIKCodsSwNASd+l23Ea502C3NCrhnpQQZw5Vs5XDPQ\n0iEIoxEFsiAIwmn04qbN/PwH3+GNnduxmE147JYZK0ILmpub2bhxI+c0r6fMaWHZilUjsm7rAsa4\n6VLGqR3v0GAaswkq3HYc4yRHOG0WKj12ehISKWlq1/bASx3cv+0o0YyC226hbSCFf3EzBKox7W3F\nZrPT0tIyqWM2BF0MppVxp+k9+vSfyckKmqahKApPPfPscAayNRPBYrFgt0/+3Kcyp8x4uOhLyezt\nTaKoOnUB55htDQuqvDNWINst5hOyuAVhponPLgRBEE6TcDjMVVdegSTJPHjPd/jRg4+wYOlyUjNU\nhB6vubkZ+yaJWSbTqBuj6v1OEtL0xamdyuHBNOVuOx67BYt5/I/1G4JOehMSiSkWyD0JCVnVeWh3\nNx9bNYuBlMwhcyVOSx/vufpSbrj6i2PGzY2lMegimlGIJEf/VCCRzTF76SqsDgeKLGOzWZm3bCVt\ng8YK+n9+47vkjuxmw/p1kz73qczOryAPJGVe7UkARrKFzzFyBXmm2SzGw6IokIXTRRTIgiAIp0lr\nayuSbkZbuAalfRc7wi9y7rIVw7FbM60jlmVlY3DUFcTCsJCOWHFDLybrSCHibAIpBrNCLjYfGiI5\nhQeLjKISzxfYv9vVxQeXN+CxW3iuLcLVi6p5/+p/4sL64KSP2xh0ogOd8SyapmM+qdhvG0iybPnF\nLPj8b4gP9vPva+uoXngBT77UTsBpZfnFy7nyA9cV/b7G43ZYCTqt9CYl3ujNF8iBMyN32G4x47Zb\nSj7WWhDGIgpkQRCE06SlpQXzw1vQ1n4MTVXYHnJwYU+C+qBz1GKqlFJSjsG0Qo3PMerGqIZ8WkR3\nQkLX9ZLk8h6vM5ZlSbV3QikGc0JuHnutl2hGKfraOvNjtBeaBtiXruDpN/uwmE2kFZXrzq0G3TRu\nL/RYClnIv3nwVzRl1wxHpwFkFZWehMy+vgSvR3UwVxCcdz5mk4lDg+kRA1tKobCJcP9ACrfdQshp\nx3kGFMgOq5m55Z6S/zkThLGc/p8CQRCEs1RzczMb3v8PWFHZ0Ojk9ZiJv//dbn7445/wwqZNM3ot\n+/M9r9U+x6gbowqJB7tee4Ovfu2OksSOFSj5DOSqCRaIplg3OrBp6/aic5qfetGYIrf/4e9jGjjC\n/Zva+OPrvdQHnCyr84OJolYzY0f2G8d/6inedvVVJ9y351/cxG/uvZtvbXyDGp8Diwkeea0Hv8NK\nRyx7ygzo6VAXcBJJKRwezNAYcGI2m86IFWSTyUS1z3G6L0M4i5X8p0BVVS688EKuu874iOjQoUOs\nWrWK+fPnc9NNNyHLRv6iJEncdNNNzJ8/n1WrVnH48OFSX5ogCMJpF7f4mVPh586/Xc3nzzejA4//\nuZVrTyqmSu34Anm0QrBQIP/3Az/l37/0byWJHSsoZCAXpsiNJxwO84P/vB2Ab93x5aIfLJ5/+TUA\n9FgfvPwonWmd7R0xrltcharp2M2mooZkHNi52Tiut+KEJIpwOMwNb7+GXzwdpiOlc32dSnODlz/u\n6UVDZyApU+1zF22dOgAAIABJREFU4CvxoIyGgIuBtEx7NENj0IXXUZqpfYLw16bkBfLdd9/N4sWL\nh//99ttv57bbbqOtrY1QKMT9998PwP33308oFKKtrY3bbruN22+/vdSXJgiCcNodGUofy6PdaRSc\nure8JLFe4ymkJtR4naOuIFZ47JjRUJ2BksWOFQwX66fIQAajjzs30AFAzlNBa+vzRZ2zrGkhAKZM\nDNvBrQTy+9TevriaWDZHY8hVVOF4zfrLIR2DYO0JKRitra1IOQ29+X3QdxBLW5jrFgSIZnI8tKsb\nRdONFosSF8hNIWMASH9KpjHoxCtyhwUBKHGB3NHRwRNPPMHHPvYxwJgM9Oyzz3LjjTcCcPPNN/PI\nI48A8Oijj3LzzTcDcOONN7Jx48bhUZ+CIAhvRWkpR09CGu5TXbX6UkhHIVCFrQSxXuM5NJjGYTUT\ncltHLZBNJhMhhxmzv6JksWMFByP5DGTf+BnIkM9wVlKQkzEHa7m4ec24rx+LOVCN3Qwf/vin+fpP\nHuT2KxbxkYsbqQs4UXW96I/7m5ubmVsdpOa8Vfz4N48OJ1G0tLRgueAaCNZg2/prVqxew0W1bur9\nTn72UjuQH5JS4sEchYczMLKuA6NkIAvC2aikj4qf/exn+cY3vkEiYeyOjUQiBINBrFbjtA0NDXR2\ndgLQ2dlJY2OjcVFWK4FAgEgkQkVFxQnHvPfee7n33nsB6Onpoaurq5Rv4a9Gf3//6b6EvwriPk2M\nuE8TM9X79HpfCk2HCqtCdKCXWU1NzCpPozgu4j8/9ABNTU0z9nfc3q4hqtwW1OQg3d2jp2jU+p34\nljXzjnNMXHH5mglf32Tv02tH+zADLinGYL+F6Dgrt01NTfzm1w/ywefSzFr7NirqG4q6Zwd7o5S5\nrLz3+g+SkHJ07tuBacc2/pK+mAVLLiARyZEssvVgfqWPV1QLlXXHrq2pqQn/ho9gk6J84fOfYVZT\nEwP9A1w918tPdw4A4NdSDPX3kilh9rBfTw//OkSa1GA/Xdkzu0gWfz9NjLhPU1OyAvnxxx+nqqqK\n5cuXT+vHcLfeeiu33norACtWrKCurm7ajv3XTtyLiRH3aWLEfZqYqdy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1a3n6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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = Prophet(seasonality_mode='multiplicative')\n",
    "m.fit(df)\n",
    "forecast = m.predict(future)\n",
    "fig = m.plot(forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The components figure will now show the seasonality as a percent of the trend:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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KrVbLMAzbhbBDKBTabDaaptkuhB0CgUAgEHR2dnpo/iKR6OJJ14P5yJEjBoNh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\n37ggS769wqd7ZuimmWONXROTBnAloA/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5bLTj9cON/7kq2b2z7YHkcPJiJYVNXSwGc31n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\nrkJggg==\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%R -w 9 -h 6 -u in\n",
    "prophet_plot_components(m, forecast)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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5UtPCs3vKeflgFR9VNwMwxhHBP1+RwayRdmzhZt9t11JtYb7brgVp1+6QogIoIiIS4Coa\n23luTznrDrgormjCALLjrNw7M51ZGbHERYZiGD23XXNGh2GP0LX5hjr93xMREQlAtS2d/H5fOWv3\nu3ivrAGvAemx4dw9PY0Z6bGk2MIIDgrCEWnRWbvDkAqgiIhIgGho72bt/gpe2F/B26Wn8HgNnNFh\n3DHVyRUj7YyIDSfcHIzzEm+7JkOHCqCIiMgw1tTRzcsfVPL8vgp2Hq3D7TVIjLRwy8QkZmXaybJb\nsUeEkhIdSqxVF2QOFCqAIiIiw0xbt4cX91Xw/L5yth2uoctjEB9h5sZxiVydaWeMIxJHVChOWzgx\n2rUbkFQARUREhoH2bg+vHKrmhf0VbP24mg63QWy4mWtGJTAn286E5GhSbeEkRYViCzdj1qVaApoK\noIiIyBDV6fbw6ic1vLC/gs2Hqmnt8hAdFsLMlAjmT0hleloM6fZw4iN6rs+nS7XIGSqAIiIiQ0iX\n28v2khpe3O9i44dVNHW6iQoNZvqIGGZnxXF1VhyR3U2MHjlCx/PJeakAioiIDHJuj5fXj9SxpriC\nlw9W0tDuJsISzLS0ntI3PyeeDLuVWKuFcHMwLlcXkboFm3wFfTtEREQGIY/X4K1jdawpdvGHDyqp\nbe0i3BzE9LQYrs6K42ujHWTFR+gkDrkkKoAiIiKDhNdr8NfSetYdqGTdARfVzZ2EhQQxfUQMV2XG\nccNYB6PiI4gJN+t+u9IrKoAiIiJ+ZBgG751oYG2xi5cOuChv7MASbGJ6Wiz/eNkIvj7WwWhHpC7K\nLH1KBVBERGSAGYbB/opG1ha7WFfsovRUO+YgE9PSYliSl8oN4xxMSIomOixEJ3FIv/BbAczIyCAq\nKorg4GBCQkLYs2cP9fX1LFq0iNLSUjIyMli3bh2xsbEYhsHy5cvZsmULVquVZ555htzcXH+NLiIi\nctEMw+BgZTNriytYd8DFkdo2goNMTEu1cXuuk+tyEpiSaiMqVKVP+p9ftwC+/vrrxMfH+34uLCxk\n3rx5rFixgsLCQgoLC1m5ciVbt26lpKSEkpISdu/ezbJly9i9e7cfJxcREbkwH1c3s7bYxdpiF5+c\nbCHIBHmpNh6ak8W1ox3kp9mIDjP7e0wJMINqF/DGjRvZuXMnAEuXLmX27NmsXLmSjRs3smTJEkwm\nEzNmzKChoYHKykqSk5P9O7CIiMiXKKlp6dm9e8DFwcpmTMDUVBs/mJ3F/Jx4po+IxRau0if+47cC\naDKZuPbaazGZTHzve9+joKCA6upqX6lLSkqiuroagIqKCtLS0nyvTU1NpaKi4pwCWFRURFFREQBV\nVVW4XK4BWhr/qqmp8fcIfqcMlAEoA1AG4L8MTjR28qdPT7Hp03o+PNkOwPiEMO7LT+CqEVFMToki\nKjQEcNN6qobWU/03i74HPZTD+fmtAO7atQun08nJkyeZP38+Y8aMOev3JpPpoo+BKCgooKCgAID8\n/HxSUlL6bN7BLpCW9XyUgTIAZQDKAAYug7JT7bz0Qc/u3fdONAAwPjGKB64ayTWjEpiZEYvdahmQ\nWb5I34MeyuHL+a0AOp1OABwOBzfffDPvvfceiYmJvl27lZWVOBwO33PLysp8ry0vL/e9XkREZCBV\nNnXw0oGe0vfX0p7NeGMckfzzrAyuGZXAFSPtxEX4p/SJXCi/FMDW1la8Xi9RUVG0trby2muv8cMf\n/pAFCxawevVqVqxYwerVq1m4cCEACxYs4Ne//jWLFy9m9+7d2Gw2Hf8nIiID5mRzJ384WMnaYhdv\nHqvDMCA73sqyy9OZPyqBWZl2EiJD/T2myAXzSwGsrq7m5ptvBsDtdnPHHXdw3XXXMW3aNG677TZW\nrVpFeno669atA+CGG25gy5YtZGdnY7Vaefrpp/0xtoiIBJC61i7+eLr07ThSi9eAjNhw7pk+gmtH\nJ3BlZhyOSIsu2SJDkl8KYGZmJgcOHDjn8bi4OLZv337O4yaTid/85jcDMZqIiASwhvZuNhysYu2B\nCv5yuBa31yAtJozvTEvj2pwErsy0kxwdptInQ96gugyMiIjIQGvucLPpoyrWFrt49dOTdHkMUqJD\nuWOqk2tHJ3B1lh2nLVylT4YVFUAREQk4rZ1uNh+qZt0BF1s+PkmH20tipIVbJ6cwPyeBOVlxpMaE\nE6R778owpQIoIiIBob3bw9aPT7K22MXmQ9W0dXuIs5pZOCGJ+TnxzBsVT1qMlWCVPgkAKoAiIjJs\ndbo9vPZpDWuLXWz8sIqWLg+x4WZuGOvgmlHxXJOTQIZdpU8CjwqgiIgMK90eg60fV7O22MWGD6to\n7HBjCwvhmpwE5ufEc01OPJn2CEKCg/w9qojfqACKiMiQ5/Z42Xm0jrXFLtYfqKChw0OkJZjZWXHM\nz0lg/ugEsuMjMKv0iQAqgCIiMkR5vAZvHatj3QEX6w9UUtPahdUczEynla9PSmN+TgI5CZFYQlT6\nRL5IBVBERIYMr9fgnc9O9Wzp+8BFZVMnYSFBXDnSzvzRCVybk0CMt5n0tFR/jyoyqKkAiojIoGYY\nBu+XNbC22MW6YhfljR1Ygk1ckWHnn68YybWjExifFEWYORgAl6vVzxOLDH4qgCIiMugYhsH+ikZf\n6Ss91U5IkImZGbF8b2Y6145OYEJSFFaL/hoTuRSX9CcnKirqK6+I3tTUdMkDiYhIYDIMgw+rmllb\n7GJtcQVHatsIDjJxWVoMS/PTmD86gSkp0USEqvSJ9NYl/Slqbm4G4JFHHiE5OZm77roLwzB4/vnn\nqays7NMBRURkePu4upl1xS7WFrv4+GQLQSbIT4vh4WucXJMTT64zhqgwlT6RvtSrP1GbNm3iwIED\nvp+XLVvG5MmTeeyxx3o9mIiIDF9HaltZW1zB2mIXByubMQFTnTZWzMnimpwEpo2IITrM7O8xRYat\nXhXAiIgInn/+eRYvXozJZOLFF18kIiKir2YTEZFhpLS+rWdL3wEX+8obAZiUHM2/XZ3JvFHxzMiw\nExOu0icyEHpVAF944QWWL1/O8uXLMZlMXHHFFbzwwgt9NZuIiAxx5Q3trDvQs3v3vRMNAIxPjOKB\nq0ZyzagEZmbEYrda/DylSODpVQHMyMhg48aNfTWLiIgMA5VNHaw/UMna4greLj0FwOiECL5/RQbz\ncxK4PCOW+MhQP08pEth6VQBramr43e9+R2lpKW632/f4U0891evBRERk6DjZ3MkfDlayrtjFG8fq\nMAzIjrey7PJ05o9K4IqRdhxRKn0ig0WvCuDChQu58sorueaaawgODr7o13s8HvLz83E6nWzevJnj\nx4+zePFi6urqyMvL47nnnsNisdDZ2cmSJUvYu3cvcXFxrF27loyMjN6MLiIivVTf1sXLH1SyttjF\n60fr8HgNMmLDuWf6CK4dncCVmXE4Ii1fedkwEfGPXhXAtrY2Vq5cecmvf+KJJxg7dqzvuoEPPfQQ\nDz74IIsXL+bee+9l1apVLFu2jFWrVhEbG8uRI0dYs2YNDz30EGvXru3N6CIicgka27vZ8GEVa4td\nbDtcg9trkGoLY0leKtfmJHBVlp3k6DCVPpFBrld3yL7xxhvZsmXLJb22vLycV155hXvuuQfouQDo\njh07uOWWWwBYunQpGzZsAGDjxo0sXboUgFtuuYXt27djGEZvRhcRkQvU3OHm+b3lLFj1Ho4fvcp3\n1hRTXNHIHVOd/P6Oqbxz/xWsWjSZxblOUmzhKn8iQ0CvtgA+8cQT/PjHP8ZisWCxWDAMA5PJdEF3\nAnnggQf4yU9+4ruodF1dHTExMYSE9IyUmppKRUUFABUVFaSlpfUMHBKCzWajrq6O+Pj4s96zqKiI\noqIiAKqqqnC5XL1ZvCGjpqbG3yP4nTJQBqAMoO8yaOv28Jdjjfzp01NsP9ZIp8cg3hrCN0bZmJ0R\nxeVp0SRGhfaUvbYGKtsa+uRz+4K+B8rgDOVwfr0qgGfK28XavHkzDoeDvLw8du7c2ZsRzlJQUEBB\nQQEA+fn5pKSk9Nl7D3aBtKznowyUASgDuPQMWjrdbDtcw9piF3/6qJq2bg9xVjM3TUxm/qh45o6K\nZ0SsleCgwb+FT98DZXCGcvhyvSqAZ27/dvz4cR555BHKysqorKxk+vTpX/m6t99+m02bNrFlyxY6\nOjpoampi+fLlNDQ04Ha7CQkJoby8HKfTCYDT6aSsrIzU1FTcbjeNjY3ExcX1ZnQRkYDX0N7NruP1\nvHG0jjeP1bG3vBGP1yAmPITrxyQwPyeBa3ISyLAPjdInIheuVwXwn/7pnwgKCmLHjh088sgjREZG\nct999/H+++9/5esef/xxHn/8cQB27tzJT3/6U55//nluvfVW1q9fz+LFi1m9ejULFy4EYMGCBaxe\nvZqZM2eyfv165s6dq2NMREQuUk1LJ28dq+eNY3W8ebSOA5VNGAaYg01MSIpiaX4q09JimDsqjkx7\nBCHBvTpMXEQGsV4VwN27d7Nv3z6mTp0KQGxsLF1dXZf8fitXrmTx4sU8/PDDTJ06lbvvvhuAu+++\nm7vuuovs7Gzsdjtr1qzpzdgiIgHB1djBm8fqfFv4DlW3ABAaEsTk5GgKLhtBbqqNGemxjLRHEBXW\nq78SRGQI6dWfdrPZjMfj8W2Nq6mpISjo4v7FOHv2bGbPng1AZmYm77333jnPCQsL46WXXurNqCIi\nw15pfRsbP6rjg7dO8uaxOo7UtgEQYQlmcko0378ig1ynjRkZsYyICSciVIVPJFD16k///fffz803\n38zJkyf5j//4D9avX89///d/99VsIiJyHoZhUFLbyptH607v0q3nREM7ANGhIUxxRnPjuMSewpce\nS2pMOOHmi79gv4gMT70qgHfeeSd5eXm+6/Jt2LCBsWPH9tVsIiJymtdrcKi6mTePfX7SRlVzJwB2\nq5mpThuLpqQwKsLNNZOzSLGFERqiwiciX+6SC6DH42H8+PF88sknjBkzpi9nEhEJeB6vwQFXI28e\nq+fN0ydt1LV1A+CItJDrtJGbaiPXaWP6iBiSosMwBwfhcrlIiYvw8/QiMthdcgEMDg5m9OjRnDhx\nghEjRvTlTCIiAcft8bK3vJE3Tu/S3XWsnqZONwDO6DAuz7Az1RlNbqqN/NQYEqNCdZauiFyyXu0C\nPnXqFOPHj2f69OlERHz+L85Nmzb1ejARkeHszBa+14/UseNILW8dq6f5dOFLjw1n3qh4clNt5KXa\nmOq04YgMJUjX4hORPtKrAtjR0cHmzZt9PxuGwUMPPdTroUREhhuv1+Cj6mZeP1LL60fq2HmkloaO\nnsI3Ijaca3PiyU+L4bIRsUxIjiLOalHhE5F+06sC6Ha7ufrqq896rL29vVcDiYgMB4ZhcLimlR1H\nann9SC07j9RR09pznVRndBhXZcUxLS2GmemxTHHasFvNusC9iAyYSyqATz75JP/7v//LsWPHmDRp\nku/x5uZmrrjiij4bTkRkKDnV1sW2w7Vs/eQkr316EldTz1m6iZEWpo2IIT/Vxox0O9NHxKjwiYhf\nXVIBvOOOO7j++uv593//dwoLC32PR0VFYbfb+2w4EZHBzDAMiiua2PrJSbZ8XM27JxrweA2iQ0O4\nbEQM35mWRn5qDDPSY0iMCtMuXREZNC6pANpsNmw2Gy+++GJfzyMiMqj97Va+P39y0nctvjGOSL6T\nn8rlGXZmZ9tJi7Fi1lm6IjJI6T5AIiJfwTAMDria2PLxSbZ+cpJ3PjuFx2sQFRrCjBEx3DszndlZ\nceSmxuheuiIyZGhtJSLyBd0eL28erePlg1Vs+LDSdyzf6IQIluancnlGLHOy4xgRY9W1+ERkSFIB\nFBEBOro9bDtcw8sHq9j0YRX17d2EhgRxeXos/3hZOrMy7eSm2rBbLf4eVUSk11QARSRgNXe42fJx\nNS8frGLLx9W0dHmItARzZWYcc7PjuG6Mg1EJEbqnrogMOyqAIhJQ6lq72PRRFS8frGLb4Ro63V7s\nVjPzcxKYmx3PDeMcZMRadcauiAxrKoAiMuxVNLaz4WAVLx+s5I2j9XgMg6SoUL45MYm52fFcP8ZB\nii1M1+UTkYChAigiw9LR2lb+eLCKPxx08e5nDUDPPXaX5KcyNzuOr41OICEqzM9Tioj4h18KYEdH\nB1dddRWdnZ243W5uueUW/vM//5Pjx4+zePFi6urqyMvL47nnnsNisdDZ2cmSJUvYu3cvcXFxrF27\nloyMDH+MLiKDlGEYfFLbzv8S/R3uAAAgAElEQVR9eJiXP6jkQGUT0HN9vmWXpzMvO4F5OfHEhJv9\nPKmIiP/5pQCGhoayY8cOIiMj6e7uZtasWVx//fX8/Oc/58EHH2Tx4sXce++9rFq1imXLlrFq1Spi\nY2M5cuQIa9as4aGHHmLt2rX+GF1EBhGv12BPeQMvf9Cze7ekthUTMDklmgevyuTa0QlckWHX9flE\nRL7AL2tFk8lEZGQkAN3d3XR3d2MymdixYwcvvPACAEuXLuXRRx9l2bJlbNy4kUcffRSAW265he9/\n//sYhqHjdUQCkNvjZdfxel4+WMUfD1ZS3thBcJCJaak2vj7dwU15WUwbEYPVotInInI+fltDejwe\n8vLyOHLkCPfddx9ZWVnExMQQEtIzUmpqKhUVFQBUVFSQlpbWM3BICDabjbq6OuLj4896z6KiIoqK\nigCoqqrC5XIN4BL5T01Njb9H8DtlMLwz6HR72XWima0lp3j1aCP17W4swSampVi5c3wSc0faGJ1g\npaG+jgRrFw21J2nw99B+Mpy/BxdKGSiDM5TD+fmtAAYHB1NcXExDQwM333wzn3zySa/fs6CggIKC\nAgDy8/NJSUnp9XsOFYG0rOejDIZXBi2dbv78yUlePljF5kNVNHd6iLAEc+VIO3NOn7k7JjHyrPvt\nmoODhlUGl0oZKANQBmcohy/n930kMTExzJkzh3feeYeGhgbcbjchISGUl5fjdDoBcDqdlJWVkZqa\nitvtprGxkbi4OD9PLiJ9rb6ti82Hqnn5g0pe/bSGDreXmPAQ5o1KYE5WHF8b4yA7PoJgXaNPRKRX\n/FIAa2pqMJvNxMTE0N7ezrZt23jooYeYM2cO69evZ/HixaxevZqFCxcCsGDBAlavXs3MmTNZv349\nc+fO1fF/IsNEZVMHGz/sOYnj9SN1uL0GiZEWbpqQxJzsOK4dncCIGF2YWUSkL/mlAFZWVrJ06VI8\nHg9er5fbbruNG2+8kXHjxrF48WIefvhhpk6dyt133w3A3XffzV133UV2djZ2u501a9b4Y2wR6SPH\n69r444eVvPxBJX/97BSGASNiwvl2rpM52fFckxNPcrQuzCwi0l/8UgAnTZrE/v37z3k8MzOT9957\n75zHw8LCeOmllwZiNBHpB4Zh8HF1Cy8frOTlg5Xsr+i5Rl9OQgTfm5HOnOw4ZmfF4dCFmUVEBoTf\njwEUkeHJMAz2ljf2lL4PKvm0phWAScnRPHDlSOZkx3FlZhyxVoufJxURCTwqgCLSZzxeg7eP1/u2\n9JU1dBBsgry0GFbMyWJuTjyXjYglOkx34xAR8ScVQBHplS63lx1Hann5YCUbDlZR09qFJdjEjPRY\n7p4+gmtGxTPFaSMiVKsbEZHBQmtkEblorZ1uXv20hpcPVrL5UDWNHW6s5mBmjbQzNzuOa3LiGZ8U\nTZg52N+jiojIl1ABFJEL0tDe3XONvoOV/PmTk7R3e7GFhXB1VhxzT5+5Oyo+EktI0N9/MxER8SsV\nQBE5r+rmTt81+raX1OL2GjgiLXxjXCJzs+OZOyqekXYrIcEqfSIiQ4kKoIj4tHW5efv4Kf5SUsNf\nSmrZX9GIYUCqLYw7pjqZmx3H7Ox4UmPCdTcOEZEhTAVQJIB5vAZ7yxv4y+Fa/lJSw9vH6+nyGIQE\nmZiUHM33ZqQzOyuOWSPtJEeH6W4cIiLDhAqgSADxeg0O17SwvaSW7Udqef1ILQ3tbqDnosyLpqQw\nPS2WyzNiGZUQSVSYVhEiIsOR1u4iw5RhGByra2NPWQN7yxvZU97AvvJGGjt6Cl9KdCizs+KZnhbD\nzIxYJiZHY7eadfs1EZEAoAIoMgwYhsGJxk7ernGxt6yn7O0ta6DhdNkzB5sYFR/BNaPiGZsYRX6a\njekjYkmMDNVuXRGRAKQCKDLEGIbBZ6fa2VvewJ6yRvaW92zhq2/rBiAkqKfszR0Vz1hHJGMTo8hL\ns5ESHaY7cIiICKACKDKoGYZBWUN7zy7cM7tyyxqoO132goNMZMdZuTozjvQIL3mZKeSmxuC0hREd\nFqLduSIi8qVUAEUGCcMwqGjs8JW8nt24jdS0dgE9ZS8rzsqskXbGJkYx1hFJXpqNVFs40WEhVFZW\nkpKS4uelEBGRoUAFUMRPXI0dZ52gsbeskeqWTgCCTZAZF8GM9FjGJUYy1hFJbqqNtFgrNm3ZExGR\nXlIBFBkAVU0d7ClvZG9ZA3tOb+Grau4pe0EmGGm3Mn1EDGMckYxLjCQv1UZqTDgx4TorV0RE+p4K\noEgfq27uPOsEjT1lDbiaesqeiZ6yl5dq852gkZtqIz1WZU9ERAaOXwpgWVkZS5Ysobq6GpPJREFB\nAcuXL6e+vp5FixZRWlpKRkYG69atIzY2FsMwWL58OVu2bMFqtfLMM8+Qm5vrj9FFzlLT0nnOCRrl\njR1AT9lLjw1ncoqNxVN6tuxNTbWRYbcSE2bW5VdERMRv/FIAQ0JC+NnPfkZubi7Nzc3k5eUxf/58\nnnnmGebNm8eKFSsoLCyksLCQlStXsnXrVkpKSigpKWH37t0sW7aM3bt3+2N0CWB1rV2+LXtnjtk7\n0dDu+316bDgTkqK4dXKK75i9DLuV2HCVPRERGVz8UgCTk5NJTk4GICoqirFjx1JRUcHGjRvZuXMn\nAEuXLmX27NmsXLmSjRs3smTJEkwmEzNmzKChoYHKykrfe4j0tfq2Lvae2YV7+ti90lOfl70RMeGM\ncUTyzYlJjHH0bNnLtFuxWy0qeyIiMuj5/RjA0tJS9u/fz2WXXUZ1dbWv1CUlJVFdXQ1ARUUFaWlp\nvtekpqZSUVFxTgEsKiqiqKgIgKqqKlwu1wAthX/V1NT4ewS/600GDR1uDla3cbC6jQPVbXxQ3cqJ\nxi7f71MizeTEhTE/I57RcWGMd1gZEdNznb0g3zF77XQ1tVPV1MsF6QV9D5QBKANQBqAMzlAO5+fX\nAtjS0sK3vvUtfvGLXxAdHX3W70wm00UfEF9QUEBBQQEA+fn5AXVNtEBa1vO5kAwa27vZV3H2MXtH\n69p8v3dGhzE2MZoFE3qO2ZvitJEdH4HdaiF4CGzZ0/dAGYAyAGUAyuAM5fDl/FYAu7u7+da3vsWd\nd97JN7/5TQASExN9u3YrKytxOBwAOJ1OysrKfK8tLy/H6XT6ZW4ZOpo6utlf0Xj6bNyesldS2+r7\nfUp0KGMckVw/xtGzG/d02YuLGBplT0RE5FL5pQAahsHdd9/N2LFj+Zd/+Rff4wsWLGD16tWsWLGC\n1atXs3DhQt/jv/71r1m8eDG7d+/GZrPp+D85S2uXh7eO1Z21Ze9wbSuG0fP7pKhQxjoimZ8Tz1hH\nFFOc0YxKiCTOaiYkOMi/w4uIiAwwvxTAt99+m+eee46JEycyZcoUAH784x+zYsUKbrvtNlatWkV6\nejrr1q0D4IYbbmDLli1kZ2djtVp5+umn/TG2DBKtnW72VzSedQeNT062cLrrkRhpYYwjijnZ8YxL\njGRySjSjHVEqeyIiIqf5pQDOmjUL48ymmS/Yvn37OY+ZTCZ+85vf9PdYMgi1dbkprmg6q+x9fLIZ\n7+mvT0KEhbGJkUxPimPqyCQmp0QzxhFJXIQFs8qeiIjIl/L7WcAiZ7R3ezjgajrrdmmHqj8ve3FW\nM+MSo7h7+gjGJUYyMTmacUlRxEdYqKmu0oG+IiIiF0gFUPyio9vDB5VNZ90u7aPqFjyn257damas\nI5K7p49gjCOSSSnRjE+KIs5qwRKiLXsiIiK9oQIo/a7T7eFgZfNZJ2h8WNWM+3TZiwkPYZwjiu/k\npzLWEcnElGjGJ0aREBmqsiciItIPVAClT3W5vXxY1XTW7dIOVjXR7ekpe7awEMY6IrkrL5VxiZFM\nSI5iQlJP2QsNCfbz9CIiIoFBBVAuWbfHy4eVzZ/fLq28gQ9cTXSdLnvRoSGMTYzkzqlOxib2FL2J\nyVE4olT2RERE/EkFUC5It8fLoepm9p7esrenrJEPKpvodHsBiArt2bJ3+1QnYx2RjE+KYnJKNAmR\noYSZVfZEREQGExVAOYfb4+Xjky1nHbN3wNVEx+myF2EJZqwjktsmpzDWEcm4pEimpthIiAolXGVP\nRERk0FMBDHD1bV0cqmrmUHULByt7rrdX7Gqkvfvzsjc6IZJbJiUzxhHJuMQopqZGkxgVprInIiIy\nRKkABoialk4OVfcUvTOF76PqZqqbO33PsZqDGe2I4OYJyYxLjGSMI5K8NBuOyFCsFn1VREREhgv9\nrT6MGIbByZYuPqpqPl32Pi98Na1dvudFWILJtFu5bEQMmXYrmXFWMu1WxiVF4YgMJSJUXwsREZHh\nTH/TD0GGYVDZ1Okree8dq+az5uMcqm6mvq3b97yo0BAy46zMGmln5Jmid/o/u9VCTLhZt0sTEREJ\nQCqAg5hhGJQ3dJy1Ne/M1r3GDrfveVGWILITIpmdFefbmpcZF3FW0QsOMvlxSURERGQwUQEcBLxe\ng7KGdj6qbuZQVctZha+58/OiZ7eaGWm3cm1OAiNPF72seCs2dzOjRo4gOjSEIBU9ERER+TtUAAeQ\n12tQeqrtrC15h6qb+bi6hdYuj+95cVYzWXER3DDW0bPr1m5lVEIEI+1WYq1mokJDMJk+L3oul5uY\ncLM/FklERESGIBXAfuDxGhyra+05AeN0yfuoqplPTrb4Lq8C4Ii0MNJuZcH4RDLtVkbGWRmdEEmG\n3UpMuJlInYwhIiIi/UANoxfcHi9H69r+ZmteT+H75GSL7w4ZAElRoWTarXxzYjIj7Vay4qyMSYxi\nREw4sVazrqcnIiIiA0oFsBfmPPkOu47X+352RocxMs7KbZNTfFv0JiRGkhprJSY8RPe/FRERkUHB\nLwXwu9/9Lps3b8bhcPDhhx8CUF9fz6JFiygtLSUjI4N169YRGxuLYRgsX76cLVu2YLVaeeaZZ8jN\nzfXH2Od44KqRzM+JJ9NuZUJyNE5bmC6tIiIiIoOeX5rKd77zHf785z+f9VhhYSHz5s2jpKSEefPm\nUVhYCMDWrVspKSmhpKSEoqIili1b5o+Rv9S3JqXww2tH8+38NKY4bSREhqr8iYiIyKDnl7Zy1VVX\nYbfbz3ps48aNLF26FIClS5eyYcMG3+NLlizBZDIxY8YMGhoaqKysHPCZRURERIaLQXMMYHV1NcnJ\nyQAkJSVRXV0NQEVFBWlpab7npaamUlFR4Xvu3yoqKqKoqAiAqqoqXC7XAEzufzU1Nf4ewe+UgTIA\nZQDKAJQBKIMzlMP5DZoC+LdMJtNZ17m7UAUFBRQUFACQn59PSkpKX482aAXSsp6PMlAGoAxAGYAy\nAGVwhnL4coPmgLXExETfrt3KykocDgcATqeTsrIy3/PKy8txOp1+mVFERERkOBg0BXDBggWsXr0a\ngNWrV7Nw4ULf488++yyGYfDuu+9is9m+dPeviIiIiFwYk2EYxkB/6O23387OnTupra0lMTGR//zP\n/+Smm27itttu48SJE6Snp7Nu3TrsdjuGYfD973+fP//5z1itVp5++mny8/P/7mfEx8eTkZHR/wsz\nCNTU1JCQkODvMfxKGSgDUAagDEAZgDI4IxBzKC0tpba29u8+zy8FUPpWfn4+e/bs8fcYfqUMlAEo\nA1AGoAxAGZyhHM5v0OwCFhEREZGBoQIoIiIiEmCCH3300Uf9PYT0Xl5enr9H8DtloAxAGYAyAGUA\nyuAM5fDldAygiIiISIDRLmARERGRAKMCKCIiIhJgVAAHoe9+97s4HA4mTJjge+zAgQPMnDmTiRMn\n8o1vfIOmpiag53o/4eHhTJkyhSlTpnDvvff6XrN3714mTpxIdnY2999/P0Npb39fZNDW1sbXv/51\nxowZw/jx41mxYoVfluVS9dX34IwFCxac9V5DQV9l0NXVRUFBATk5OYwZM4Y//OEPA74svdFXObz4\n4otMnDiRSZMmcd11113QtcIGi4vJAOCDDz5g5syZjB8/nokTJ9LR0QEEznoRvjyDQFovwvm/B2cM\nxfVinzFk0HnjjTeMvXv3GuPHj/c9lp+fb+zcudMwDMNYtWqV8fDDDxuGYRjHjx8/63l/a9q0acY7\n77xjeL1e47rrrjO2bNnS/8P3kb7IoLW11dixY4dhGIbR2dlpzJo1K+AyOOMPf/iDcfvtt3/lcwaj\nvsrghz/8ofEf//EfhmEYhsfjMWpqavp58r7VFzl0d3cbCQkJvmX/wQ9+YPzoRz/q/+H7yMVk0N3d\nbUycONEoLi42DMMwamtrDbfbbRhG4KwXz5dBIK0Xv+p7YBhDd73YV1QAB6kvrsSjo6MNr9drGIZh\nnDhxwhg7duyXPu8Ml8tljB492vfzCy+8YBQUFPTz1H2rtxl80f33328UFRX1z7D9pC8yaG5uNq64\n4grjo48+GpIrur7IIDU11Whpaen/YftRb3Po6uoy4uPjjdLSUsPr9Rrf+973jN/+9rcDM3wfudAM\nXnnlFePOO+885/WBtF48XwZfNJzXi1+VwVBfL/YF7QIeIsaPH8/GjRsBeOmllygrK/P97vjx40yd\nOpWrr76at956C4CKigpSU1N9z0lNTaWiomJgh+5jF5vB32poaOBPf/oT8+bNG7B5+8OlZPDII4/w\nr//6r1it1gGftz9cbAYNDQ1ATw65ubnceuutVFdXD/zgfexiczCbzTz55JNMnDiRlJQUDh06xN13\n3+2X2fvK+TI4fPgwJpOJr33ta+Tm5vKTn/wECKz14vky+FvDfb34VRkMt/XipVABHCKeeuop/vd/\n/5e8vDyam5uxWCwAJCcnc+LECfbv38/Pf/5z7rjjjrOOfxhOLjUDt9vN7bffzv33309mZqa/xu8T\nF5tBcXExR48e5eabb/bz5H3nYjNwu92Ul5dz+eWXs2/fPmbOnMm//du/+Xkpeu9ic+ju7ubJJ59k\n//79uFwuJk2axOOPP+7npeid82XgdrvZtWsXzz//PLt27eKPf/wj27dv9/O0/eNSMwiE9eL5MhiO\n68VLEeLvAeTCjBkzhtdeew3o+VfNK6+8AkBoaCihoaFAz8Uus7KyOHz4ME6nk/Lyct/ry8vLcTqd\nAz94H7rYDPLz8wEoKChg1KhRPPDAA/4ZvA9dbAbvv/8+e/bsISMjA7fbzcmTJ5k9ezY7d+701yL0\n2sVmkJeXh9Vq5Zvf/CYAt956K6tWrfLP8H3oYnMwTp/skJWVBcBtt91GYWGhHybvO+fLIDU1lauu\nuor4+HgAbrjhBvbt28e3v/3tgFkvni+DM1v7AmG9eL4MIiMjh9168VJoC+AQcfLkSQC8Xi///d//\n7Tuzr6amBo/HA8CxY8coKSkhMzOT5ORkoqOjeffddzEMg2effZaFCxf6bf6+cLEZADz88MM0Njby\ni1/8wj9D97GLzWDZsmW4XC5KS0vZtWsXOTk5Q34ld7EZmEwmvvGNb/iWe/v27YwbN84vs/eli83B\n6XRy6NAhampqANi2bRtjx471z/B95HwZfO1rX+PgwYO0tbXhdrt54403GDduXECtF8+XAQTOevF8\nGQzH9eIl8fMxiPIlFi9ebCQlJRkhISGG0+k0/u///s/4xS9+YYwaNcoYNWqU8dBDD/kOeF2/fr0x\nbtw4Y/LkycbUqVONTZs2+d7n/fffN8aPH29kZmYa9913n+81Q0FfZFBWVmYAxpgxY4zJkycbkydP\nNn73u9/5c7EuSl99D8640JNlBpO+yqC0tNS48sorjYkTJxpz5841PvvsM38t0iXpqxyefPJJY8yY\nMcbEiRONG2+80aitrfXXIl20i8nAMAzjueeeM8aNG2eMHz/e+MEPfuB7PFDWi4bx5RkE0nrRMM7/\nPThjKK4X+4puBSciIiISYLQLWERERCTAqACKiIiIBBgVQBEREZEAowIoIiIiEmBUAEVEREQCjAqg\niEgfevTRR/npT3/q7zFERL6SCqCIiIhIgFEBFBHppf/5n/8hJyeHWbNm8emnnwLwy1/+knHjxjFp\n0iQWL17s5wlFRM6mewGLiPTC3r17WbNmDcXFxbjdbnJzc8nLy6OwsJDjx48TGhpKQ0ODv8cUETmL\ntgCKiPTCW2+9xc0334zVaiU6OpoFCxYAMGnSJO68805+//vfExKif2uLyOCiAigi0g9eeeUV7rvv\nPvbt28e0adNwu93+HklExEcFUESkF6666io2bNhAe3s7zc3N/OlPf8Lr9VJWVsacOXNYuXIljY2N\ntLS0+HtUEREf7ZcQEemF3NxcFi1axOTJk3E4HEybNg2TycS3v/1tGhsbMQyD+++/n5iYGH+PKiLi\nYzIMw/D3ECIiIiIycLQLWERERCTAqACKiIiIBBgVQBEREZEAowIoIiIiEmBUAEVEREQCjAqgiIiI\nSIBRARQREREJMCqAIiIiIgFGBVBEREQkwKgAioiIiAQYFUARERGRAKMCKCIiIhJgVABFREREAowK\noIiIiEiAUQEUERERCTAh/h6gv8THx5ORkdHvn9Pd3Y3ZbO73zwkkyrR/Kd/+pXz7nzLuX8q3/wxE\ntqWlpdTW1v7d5w3bApiRkcGePXv6/XNcLhcpKSn9/jmBRJn2L+Xbv5Rv/1PG/Uv59p+ByDY/P/+C\nnqddwCIiIiIBRgVQREREJMCoAIqIiIgEGBVAERERkQAzbE8CEREZzt47cYqXDlTyYVUTMWFmrhvj\nYPHUFEJDgv09mogMASqAIiJDyKm2LpZv+Ijn9pZjDjaRabfS0N7NmmIXD2/9hD/dPZ0pTpu/xxSR\nQU4FUERkiChvaOf63+3mk5MtfHd6GvdcNoIJSdGYg2FdcSU/2HyImb/cxYZ/mMbXxjj8Pa6IDGID\negygx+Nh6tSp3HjjjQAcP36cyy67jOzsbBYtWkRXVxcAv/rVr5gwYQI33HCD77Fdu3bx4IMPDuS4\nIiKDRm1LJ3Oe/CvH69v45U3j+dXNE5iZYScqLIQwcwhLpqWx/8GrSLGFceuze/mossnfI4vIIDag\nBfCJJ55g7Nixvp8feughHnzwQY4cOUJsbCyrVq0C4Pnnn+eDDz7g8ssv59VXX8UwDP7rv/6LRx55\nZCDHFZFhyOM1eHFfBUte2M/lv9zFwqfe42c7j1LT0unv0c6r0+3hpqff58Spdn550wTumZGO1XLu\nDpyUmHC23zuTkCATC556n063xw/TishQMGAFsLy8nFdeeYV77rkHAMMw2LFjB7fccgsAS5cuZcOG\nDb7fdXd309bWhtls5ve//z3XX389drt9oMYVkWGouKKRST/dyR3P72PLx9V0ebx84Gri3/50iBH/\n9Rf+3xtH8XoNf495joc2f8zbpad49NrR3JHrxBx8/lV3ht3Kc3dM5Vh9G/+y8aMBnFJEhpIBOwbw\ngQce4Cc/+QnNzc0A1NXVERMTQ0hIzwipqalUVFQA8P3vf58ZM2Ywfvx4rrjiChYuXMirr776dz+j\nqKiIoqIiAKqqqnC5XP20NJ+rqanp988INMq0fwVqvtuONrBs83EiLEH88MpkbhwdS2JUGMEmeL+8\nhR/vKudfNh3ilYPlFC3IIizk0v593Nf5/uVYI0+8dZybRsfwzUwL9TXVf/c1U2PgGzkx/Padz1iY\nGc6ExIg+ncnfAvU7PFCUb/8ZTNkOSAHcvHkzDoeDvLw8du7c+Xeff9ddd3HXXXcB8Nhjj3H//fez\ndetWnn32WdLS0vjZz35GUNC5K+eCggIKCgqAnnvhDdS9DHXPxL6nTPtXoOW761gd39t8nKw4Kz9f\nMJ75OQkEBZl8v3c6YeH0HH706qf817YS7vzjcV7/p8sJM1/aJVX6Kt/6ti4e+suHjIqP4NGvT2S0\nM+aCX7vqzjhG/s92Ct+pYcc/jeqTeQaTQPsODzTl238GS7YDsgv47bffZtOmTWRkZLB48WJ27NjB\n8uXLaWhowO12Az27iJ1O51mvc7lcvPfee9x000387Gc/Y+3atcTExLB9+/aBGFtEhoHS+jYWPPU+\nSVGh/PKmCXxtjOOs8neGyWTisevG8P99ayLvnmhgwVPv4fHz7uB/2fgRNS2d/OjaHCZfRPkDSIgM\n5V+vzuL1o3VsO3yynyYUkaFqQArg448/Tnl5OaWlpaxZs4a5c+fy/PPPM2fOHNavXw/A6tWrWbhw\n4Vmve+SRR3jssccAaG9vx2QyERQURFtb20CMLSJDnMdrsOTF/XR5vDyxcDzzchL+7mu+d3kGhV8f\nw7bDtTy44cMBmPLLvX6kltV7ylmSn8ZNE5Iu6T3+bXYWseFmfvTnw308nYj8/+zdd3jUVdbA8e9M\nJr33HpKQkASSEFLoIAihiVIERQERCxbs67r2ta+uqwsrsIKKYEVdRWyAiIDUEHroSUgglfTepr1/\noHktIIFMTc7neXyEZH73d3KZzJy55VxrZ9aj4F555RVef/11oqKiqKys5NZbb23/3v79+wFITk4G\n4MYbbyQhIYHt27czbtw4s8QrhLAur2/JZeupKv46oicTevt3+Lq/XRnNzORgFm3P54tDJUaM8PzU\nWh33fJFFsJsD9w4Nx9n+8lbruDqoeOiKSHaermbrqUoDRymEsGYmTwBHjBjBN998A0BkZCS7d+8m\nJyeHzz77DHt7+/bH9evXr70sDJzbRHLkyBHWrVv3m8cJIcT5FNY088z6kwyL9OKOQT3+dOfs+Syb\nnkiUjzO3fXqQ01WmnXX4z9Y8jp5t4C8jIjt9qsfdQ8JxtFXyyo85BopOCNEVmHUEUAghjOXhr4+i\n0el4+IqeBLg5XPL1TnYqvroljRaNlqkrMtFodUaI8o+Ka1t4Zv0JhkV4MTslBIXij+sVL4WXkx23\n9A9j3YlycsobDBSlEMLaSQIohOhyMk5X88mBYm5KDWFMzMXX/V1IrL8ri6cmsK+ojr99e8yAEV7Y\nw18fpU2r4y8jIvFxMcxsxwPDI9Hq9Ly25ZRB2hNCWD9JAIUQXc6Ta4/j4aji1gFhl13K5Rdz+4cx\nqU8AC7fmsSPfuOvoNr2/n2EAACAASURBVOdU8PH+IuakhjLOgGf5Rvk4c0VPb1YfLkWtMc1IphDC\nskkCKIToUjbnVPBDdgVz08JIC/U0SJvLZ/TF09GW2R8eoEVtnOPV1Fod87/IIsjNnrsG98Be1bnE\n9ffuGRLO2fpW3ttbaNB2hRDWSRJAIUSX8tLGbLydbLkpNRib89T7uxxeTnasnJHEqaom7v48yyBt\n/t7Cn37e+HFFz05v/DifSfEB+Djb8aEkgEIIJAEUQnQhB4tr2XCyghv6BZMYaNgkakJvf+amhbIi\ns4C1xy5+HNulyKts4un1xxke6cWNycGd3vhxPrY2Sm5MDmZbfhWFNc0Gb18IYV0kARRCdBn/2pyL\no62SGf2CznvaR2e9MSWeEA8Hbv3kIHUtaoO0qdfruevzQyhQ8LeRUZe1Y7mjZqeEoNbqWbbztNHu\nIYSwDpIACiG6hILqZlbtL2ZyfAD9wwyz9u/3nO1VrJqVwtmGVm7++IBB2vx4fxHrT5Qzf0g4o3r5\nGKTNC0kJcSfK24lvj8nRcEJ0d5IACiG6hAVbT6HX67mxX/AlF32+FIMjvHhweCSrD5fy0b7Oraer\naGjlgS+PEB/gym0Dwgy+8eP3FAoFc9JC2VdUy/7CGqPeSwhh2SQBFEJYvZpmNct2nmZ0L1+ujDbu\nKBrASxPiiPNzYf4XWeRf5ikher2eWz89SHWzmidGRdPLz8XAUZ7fjcnBACzfXWCS+wkhLJMkgEII\nq/fu7jM0tGmZnRKCk93lnZt7KexUSlbPTUOt1XPV2xmXVRpm0bZ8vjpylvuGRjApIcAIUZ5fpLcz\n/cM8+O54GTqd1AQUoruSBFAIYdX0ej1v7jxNYqBrp079uFQxfi6smJHE0bMNTHk3E61O3+FrfzhZ\nzoNfHWFYhBcPDI/AsZPFqi/VzWmhnKpsYmO2cQtbCyEslySAQgirtimnkpPljUxNCMTXQEenddS0\nvkE8Py6GdSfKmf3Rvg4lgXsLapj+3h7CPR15aUIsoZ5OJoj0t67rG4RKqeADqQkoRLdl/LkSIYQw\nojd35uPuoGKqCadRf+3J9F5UNLaxcGsedS0aFqQHXfCxm3IqmPxuJs62NiyY1Iehkd4mjPT/eTvb\nMaKnNxuzK9BqddgYcdOMEMIyyW+9EMJqldS1sDqrlIm9/ekd4Ga2OBZMjueZMb349lgZI949wtdH\nSn8zGlhW38pfvz7KqDd34uVoy1vX9eWq3v5mixfObQYpqmth/clys8YhhDAPGQEUQlit5bvPoNHp\nmZoQYLBj3y7X38fGkBrqzu2fHOCa5Zn4u9iTEOhKfauGA8V1tGp0TOrjz6NXRjOgh4dRTvu4FJPj\nA5j32SFW7S9mQpx5k1EhhOlJAiiEsEpanZ5lO8/QP9SD0b1Mt/njz1zVO4Dtt/bhq3w13x47S1Ft\nC852NkxLDGRyfACje/ni4Whr7jAB8HSy48ooH344WS7TwEJ0Q5IACiGs0trjZZypaebuIT1wc7CM\npArAXmXD/cNDuX94JHq9Ho1Ob9TC1J1xY3IwN68qZ+2JMib2Ns8aSiGEeVjmq5IQQlzEmzvy8Xay\nZUp8oLlDuSCFQmGxyR/ApPgAVEoFn+wvNncoQggTs9xXJiGEuIDTVU18d7yMyfEBRPk4mzscq+Xh\naMvoaB82ZFdIUWghuhmZAhbCxNRaHe/tKeTbY2dpVetICnbj3qERBLg5mDs0q7Fs12kUwJT4AJRm\n3vxh7W5MDmbdiXLWHi/jKpkGFqLbMNkIYEFBASNHjqR379706dOHhQsXAlBVVUV6ejrR0dGkp6dT\nXV0NwOeff06fPn0YNmwYlZXnqtXn5uZy/fXXmypkIQyuqLaZEUt2cNunB9mZX01ORSOv/JhD5Esb\nWboj39zhWYU2jY53MgoYEuHF8J7GP/e3q7umTwC2Ngo+2ifTwEJ0JyZLAFUqFa+99hpHjx5l165d\nLF68mKNHj/Lyyy8zatQosrOzGTVqFC+//DIAb7zxBpmZmdxxxx189NFHADz55JO88MILpgpZCIOq\na1Ez6r87OVBUx4vjY9h9/1COPDKCjPuHkRDoxp2fZ/H02uPmDtPirTlSytmGVq5NCMTVQSYxOsv9\n52ngjdnndgMLIboHkyWAgYGBJCcnA+Dq6kpcXBxFRUWsWbOGOXPmADBnzhy+/PLLc4EplbS2ttLU\n1IStrS1bt24lICCA6OhoU4UshMHo9XpuXnWAnIpG/j2pNw+PiCLU0wmVjZKUUA+23TOEa/r48/wP\n2SzalmfucC3af3fkE+hqz0QzF1LuSmYmh3C2oY11x6UotBDdhVk+Pufn57N//34GDBjA2bNnCQw8\nt4svICCAs2fPAvDYY48xevRogoKC+OCDD5g+fTqrVq3603aXLVvGsmXLACgtLaW42PhTGuXl8oJp\naF2xT786UcXqrFLuSPZhVJANFWWlf3jMG2OCKalu4KE1Rwixa6N/iKtRYrHm/s2pbGFTTiW3JHnj\n0FpDcXGtuUP6A2vs31QvPbZKBct3nKSfp9bc4VyUNfaxNZH+NR5L6luTJ4ANDQ1ce+21LFiwADe3\n3x7dpFAo2qvjp6enk56eDsB7773HhAkTOHnyJP/617/w9PRk4cKFODn99hD1efPmMW/ePABSU1MJ\nCrrwmZyGZKr7dCddqU9b1FpeWX6UaB9nHh6TSE/fC+9aXXunL/Gvbub+7ws4+tcRONsb51fUWvv3\nH7uysLVRMKN/FMHBfuYO54KssX/TY4rZeqaGgIBAq9hYY419bE2kf43HUvrWpGVg1Go11157LTNn\nzmTq1KkA+Pv7U1JSAkBJSQl+fr99UW9qamLFihXMnz+fv//976xcuZKhQ4fy4YcfmjJ0cRma1Voa\nWjXmDsPsluzIJ7+6mQeGRxD1J8kfgLezHR/c2I8z1c3c+fkhE0VoHepbNKzcU0h6L18Gh3uZO5wu\nZ1ZyCOWNbaw9XmbuUIQQJmCyBFCv13PrrbcSFxfHQw891P71a665hpUrVwKwcuVKJk2a9JvrXn31\nVe677z5sbW1pbm5GoVCgVCppamoyVejiEp2uamL6yj14P7UO18fXEvXSRtYc/uOUZ3eg1ur495ZT\npIa4M71vxz71jerly20DwvhoXxE78qqMHKH1eH9vIfWtGq7rG2S0kdHubGJvf+xtlLy/t9DcoQgh\nTMBkCeD27dt5//33+fHHH0lKSiIpKYnvvvuORx99lA0bNhAdHc0PP/zAo48+2n5NcXExu3fvZvLk\nyQDce++9pKWl8eabb3LjjTeaKnRxCTbnVJD8759Ye7yMib39uWtwDxQKmPxuJn9Zc8Tc4Znc6qxS\nCmtbuKFfML4u9h2+7p8T43CzV3Hfl4fR6/VGjNA66PV6Fm3Po7e/C6N7SekXY3B1UDG6lw8bsyvQ\n6uQ5J0RXZ7KP0UOHDr3gG9nGjRvP+/WgoCC+/fbb9r9Pnz6d6dOnGyU+0XmHS+q4ZnkmPs62vHZ1\nHyb28cfWRkmbRscNH+zl9Z9OEeXrzF2Dw80dqsks3HqKEHcHJsVfWoFdTyc7nh8fy72rD7Ns12nu\nGBRunACtxKacSo6dbeCZMb0Idnc0dzhd1uyUEL49Vsba42flbGAhujg5Ck4YRE2zmqvf2Y29Ssmi\nKQlMSQxsPwPVTqVk1ewUBoR58MCXhzlWWm/maE3j2Nl6duRXM61vIJHeThe/4HfuHNSDGF9nnvv+\nJE3dfC3l4u15uDuomBQvpV+M6are/tirlLy3R6aBhejqJAEUBvHIN0c5U9PMqxPjGBf7x92ZtjZK\nPr85FaVCwb1fHjZDhKb34b4ilAoYF+PXvrv9UqhslCyemkBxXStPdOMC0bkVjXx5uJQp8QHEB7hd\n/AJx2VzsVYzp5cuPMg0sRJcnCaDotE05Fby16wwzk0OY1jfogiUkgt0d+evInmzMruDbo2dNHKVp\n6fV6PtpXRP9QDwaFe152O6N6+TI+1o+3Ms5QXNtswAitxz835aBSKpjRLxiVjbxkGdvs1BAqm9R8\nc6R7btwSoruQV1PRKTqdngfXHCHIzZ77hkXgcpHdmY9eGYWPsx0vbcw2UYTmsTO/mryqJsbF+uHm\nYNuptl67pjfNai0Pf33UQNFZj5K6FlZkFnJ1b3+GRUrpF1OYEOuHg0rJB/uKzB2KEMKIJAEUnfLh\nvkIOFtdx9+BwUkLcL/p4JzsV9wwJZ0d+NRmnu26Jk/8dKsHORsG4WN9OtxXn78qs5BD+d6iE42e7\nx/rJX/x7yyk0Oh2zU0JwspPSL6bgbK9iXKwfP+ZUoNZY/qkgQojLIwmguGxtGh1PrTtBnJ8LM1OC\nO7zO7a7B4djaKHht8ykjR2geer2er46UkhbqYbA1ay9OiEWJgr90o1HA6qY2/rsjn/Revgzv6W3u\ncLqVWSnBVDWp+fJI116qIUR3JgmguGwf7C3kdHUzdw7qQbjXn59w8Wt+rvZcnxTEN8fOUtXUasQI\nzePY2QZyK5sYHultsILFIR6O3D0knLXHytiV33VHTn9t8fZ8Gtq03JwaiqeTnbnD6VbGx/rhaKtk\n1X6ZBhaiq5IEUFwWrU7Pyz/mEOvnwtTES68XdtuAMJrVOpZnFBghOvP66ufF88N7GnbN2pPp0bjY\nq/jrN8cM2q4lqm1W8++fTjE0wosxBphGF5fGyU7FVXH+/JhTQXNb9y5BJERXJQmguCxfZJWQXdHI\n3LRQQjwuvcbdsAhvgtzsWdMFp5i+OnKW3v4upIVe/u7f8/FysuPRK6PYllfV5XdR/3NTDlVNau4c\n1AMvGf0zi9kpIdQ0a3hPjoYTokuSBFBclje25RHs7sC0voGXdb1SqWBmcgg7T1eTX9V1znWubmoj\n40w1Q8K98HY2fOLywPAIfF3seOzbY132iLii2mb+/dMpxsX4MrG3FH42lwlxfvi52PGh7AYWokuS\nBFBcsoPFtWw9VcX0voFEeF366N8vZqWEoNXpeSfjjAGjM6/NuZXo9DAgzMMo7TvZqXh+XAxZpfWs\nzOyaIzN//foYWp2eOwf3wN2xcyV0xOVT2SiZ2z+M7XlVJt19rtXp2XW6mv8dLGbd8TIqG9tMdm8h\nuhNJAMUlW7w9H3uVkul9gy7rhItfJAS60sPTkc25lQaMzrx+OFmBk60NQyKMV7Pu1v5hRHg58dyG\nE2i0OqPdxxw25VTw8f4i5qSGMjbmjyfKCNO6fUAYOj0s3Jpn9Hu1qLW89EM2oc9vYNB/tjH9vb2M\nfysDv7+vZ9aH+yis6Z6F0IUwFkkAxSWpbmrjg72FTIj1Iy20c6NcCoWCSX0CyDxTQ3lDi4EiNK8N\nJ8tJDnGnRydGRi9GZaPk1avjyKtq5tVNuUa7j6k1tmq447NDBLs5cOegHjjY2pg7pG6vp48zV0Z5\n879DJTS3Ga8m4MHiWhL/tYUn1h4nwsuJl8bHsmpWMu9cl8j1fYP47GAxif/awpYu9GFRCHOTBFBc\nknczC2hW65jeNxBbAxzLNSk+gFatjk8OlBggOvM6XdVEdkUjA8I8cDRy8jI1IZD+oR68simHs/Vd\no5TOI98cI7uikafSo+nXgaLiwjQeHtGTisY2luwwzijg6qwSBv1nGzXNahZNiWfN3DQeGx3N9f2C\nuWVADz6anULmA8NwdVCRvnQnP5woN0ocQnQ3kgCKDtPp9Czelk+/YDeuMtDi/GGRXrjaq/jhpPW/\nqP8yld3ZkdGOUCgULJ+RREOblts/PWj0+xnbF4dKWLIjnxv6BXFDcseLigvjGxvjR09vJ97JKDD4\nxqP39xQwbeUeorydef/Gftw1OBwfF/s/PC4xyJ19Dw4j2M2BqSv3cKJCpoOF6CxJAEWHrTtRxqmq\nJq7rG9Tp821/YWujZGyML9vzq63+2KlteVW42asY0MP4CSBAnwBX7h8awddHz/KdFZeFySqp46aP\n9xMf4MqjV0YZ7LklDEOpVPDXkT05VtbAqv3FBmv30wPFzFl1gJQQd5ZN78vYWD+Uygsn/t7O9vx4\n12BUSgW3f5VLq5W/XghhbpIAig5btC0fH2c7pl9m6ZcLGRfrR0VjG1vzrPuEi+15VSQGuRHk5miy\nez4/PoZgNwfu/iLLKt8QT5Y3MGbpLpxsbXh1YhyJQTL1a4nmpoUR6GbPyz9mG2QUcP3xMmZ9tI++\ngW4suTaRgeEdq5kZ4e3E8hlJ5Fa3cu/qw52OQ4juTBJA0SE5FY2sPV7GtQkBRHp3/Ni3jhgd7QPA\n2mNlBm3XlKqa2jhW1kDfQDfsVKb7tXKyU7F0eiKnq5u5z8reEPcW1DByyQ5aNToWT41njOz6tVh2\nKiVPje7FoZJ6PupkXcCd+VVMXbGHCE8n/jM5ntRLXDIxOT6Aa+M8WZ5xht2nqzsVixDdmSSAokOW\nbM9HpVRwbWLnSr+cTw8vJyK8HMkoqDFou6a0I//cG1HfIDeT3/uq3v7MSgnmrV1n+PKw5W+m0en0\nLNmez9BF29Hp4b/XJjA1MehPp/+E+d06IIwwD0eeXHucVvXljTYfKq5jwtsZeDvb8saUeIb19L6s\ndp4ZGYaznYp7Vmd12YLoQhibJIDiohpbNSzffYZR0T4MjTROfbsxvfzYV1hLfYvaKO0b27ZTVaiU\nCoYasf7fn1k6LZEILyfmrjpAdnmDWWK4mBa1lk/2F5G2cCvzv8iib5Ab792QxHVJQdhI8mfx7FRK\nFk+NJ7+6mafXn7jk67N/nu63s1GyeEoC6TGXf8azl6OK58fHkFlQy7uZXe88cSFMQWXuAADWrVvH\n/fffj1ar5bbbbuPRRx9l5syZZGVlMXHiRF566SUAXnjhBeLj45k8ebKZI+5ePtxXRG2Lhuv6Bhmt\nvEl6jA9Ld51m3Ylyhlz++4LZbM+vItbPhXBv49X/+zNOdirWzhtA/wVbGbN0F3seHG7Qo+hOVTaS\ncbqGY2X1HC9roKyhjWa1lha1FoVCgYNKiaOtDQ62SuxtlDjY2uCgUrbX8ssub2Tn6Sqa1TrCPBx5\nflwMc9NCCfYw3XpJ0XkT+wQwppcvC7fmMSMpiH4hHZu+LaxpJn3pLlq1Wt6a3perevt3eibh7sHh\nLPwpj39szObm1FAZQRbiEl00AfzLX/7CLbfcQp8+fYwSgFarZf78+WzYsIGQkBDS0tKYMGECjo6O\nHDp0iPT0dGpra2lqaiIjI4Mnn3zSKHGI89Pr9SzankeMrzPjY42XmQ2PPDcV9FNuJUN8L29ayFxa\nNVoyC2qYlhho9Pp/f6aXrwurb05l3FsZDPzPVrbfMxQ/1z+W1OgInU7PtrwqPs8qYe2xMrIrGgFQ\nKiDY3QFfZzvsVTZ4/HxUW5tGR12LmvIGPW1aHa1aHW0aHW1aHVqdnmB3B67u7c/wSG8mxPkR7uUk\npV6s1Mobkujz6mamrdzLoYevwNn+z99G8iqbGLNsJxWNbSydlsjk+ACDJGsqGyXPj49h5of7Wboz\nn7uGRHS6TXP4KbeSFZkFHC6to02rp3+oB7NTQxgWaV2vg8L6XDQBjIuLY968eWg0GubOncsNN9yA\nu7vhdurt3r2bqKgoIiMjAZgxYwbffvstzc3N6HQ61Go1NjY2PP300zz77LMGu6/omK2nqsgqqeep\n9GgC3Y03WuPrYk+MrzP7imoB63rh21dYS6tGZ5b1f783MtqX1Tence3KPfR7fQurb06jf4+O7bCE\nc9N07+8t5P09heRXN2NvoyQl1J1J8f6kBHvQL8SdAFd7XOxVf5i21er0tGq0tGjOJX8a3bm1WbY2\nSpztbHC5SKIgrEOAmwMfzkzmqrczGPnfHWy+ezBOduf/t92eV8X09/bQ2Kpl8ZR4rksKQmWAAvK/\nuD4pmGfWn+RfW05x5+Bwq/pQUdXUxt2fZ/HJgWKc7WxICHDFUaXgo/1FvJVxhqvi/Fh5Qz+DjuQL\n8WsXfUW+7bbbuO222zhx4gTvvvsuiYmJDBkyhNtvv52RI0d2OoCioiJCQ0Pb/x4SEkJGRga+vr4k\nJycze/ZscnJy0Ol0JCcn/2lby5YtY9myZQCUlpZSXGy4mlUXUl5u/QWM/8yrP5zC1U7JCH+l0fsz\nLdCRL45VUVhsXTXt1h4sBSDWWWOS59zFJHnAqmnRzPs6l8FvbGNWog/3DwzC3+XcaN3vn7Ona1r5\nLruab7Nr2F/SiAJIDnTihiEBXBnhTk9vJ+x/2dmsqaOxGho7EMcvb/NaoO7n/7qDrv6aAJDoBq+m\nh/HXDWdI+dcmlkyMJMbn/z8g1rdqWZJZyuLdpfg52/J6ejBXBtlQfrbUIPf/dR/fnerLg+vy+e+P\nWUyO8zFI+8ZW1qjmuk9Pcqq6hZv7ejMrwYcoH2dsbRTUtWh4fWcxKw6Uk/jPH1k1PZqeXqZdKtEd\nnsPmYkl926GP5FqtluPHj3P8+HF8fHzo27cvr7/+OkuXLmXVqlVGCWzBggXtf7766qtZunQpL774\nIgcPHiQ9PZ3bb7/9D9fMmzePefPmAZCamkpQUJBRYvs9U93H1Ipqm1mbU8ON/YIZlhhlkKPf/sz4\nBB0fHKogu8WO/lbUp1lVRYS4OzC4T6TFfFqfFARDe/fg9k8P8f6hUt4/VMGQcC/Swjyw1WqwK6kj\nv6qZ3WeqOVF+Lp2L9XPh3qHhjI/1Y0iElxRk7oSu+prwaw8FBRHo58Pdnx8i/b2jDInwIj7AjbMN\nrWw4UU5dq4bxsX48emUUwyK9DD4690sf3+Xnz4tbi/nwSB13j0o06D2MobqpjRve305hfRtLrk1g\nVkrIb0ZQg4BlkWHcOKCCqSv2MP2zHDLuH2bU88XPpzs8h83FUvr2ognggw8+yNdff82oUaN4/PHH\n6d+/PwB/+9vfiImJ6XQAwcHBFBT8/y6uwsJCgoOD2/++Zs0aUlJSaGhoIDc3l08//ZSxY8cyc+ZM\nnJzMs+C+u3hzx2l0Oj3TEg1z7u/FDIs4N/W7o6CemUa/m2Ho9Xq251XRP8wDLyfLSpi8ne35Ym4a\n+wprWbw9jx351SzalkebVo8C8HWxI8bXhfGxfoyM8mFAD0/8L3PNoOiebugXzMie3jz+3XG25FZy\nsLgOZzsbRkZ5c21iIFf3CWhfJ2os9iob7h0Szt+/P8n2vEqGRFjuEhKdTs/MD/eTU9HI4qnx3JwW\ndsG6oSOifPjhzkFcsXg7I5bs4ODDV8iHMmFQF00AExMTeeGFF3B2/mPx3927d3c6gLS0NLKzs8nL\nyyM4OJhVq1bx0UcfAaBWq1mwYAHffvst2dnZ7Z8gtVotbW1tkgAaUWOrhiU78hke6c0Vl1mr61KF\nejoS6uHAobPWc85nTkUj5Y1t9A1ys9j1R8kh7rxzfRJ6vZ66FjXZ+QV4+wXgaq/CzcHWpIWrRdcT\n4ObA8hnnnl+1LRr0ej1uDrYmLe1z15BwXtyYzWubT1l0AvjKphzWHi/j0SujmJ0aetHfveQQd76c\nm8bYZbuYumIPG+4YaLGvM8L6XDAB3LdvHwB9+/blxIk/1nxKTk42yGYQlUrFokWLGDt2LFqt9jc7\njhcvXsycOXNwcnIiMTGRpqYmEhISmDBhAh4epjlvtbtavruAqiY1N6WG4G7kT/C/NiTcix9OlqHR\n6gy6WNxYMn8uXh0f4GrmSC5OoVDg7mhHkLsjQQY+zUUIhUJh9NG+C/F1sWdWcggf7iviTHUTYZ6W\nNzhwpLSeZ9afZHS0D/cPi+hwxYBRvXx5dmwMT647wT825vD46GgjRyq6iwsmgH/5y18ueJFCoeDH\nH380WBATJkxgwoQJf/j6Aw888Jt7fvzxxwa7p7gwjVbHa1ty6RvkxrhY0x7PNbCHJ6sOFHOwpI6U\nDtYYM6d9hbXY2Sgu+TgrIYRhPTSiJ8szC3j5xxyWXGtZawF1Oj23fXoQR1slj4zsSYCbwyVd//jo\naDZkV/D8hpNMSQggzt/yP3AKy3fBBHDTpk3odDp27tzJkCFDTBmTMLPPDpacO1t2aARB7pf2QtVZ\nA38uWbIpu8IqEsC9hbVE+TgTdIkv6EIIw+oT4MqInt58fqiEBdf0wc6MNTl/7/29hew6Xc0zY3px\nZfSl11NVKBR8cGM/4l7ZxKwP97PnwWEyFSw67U/n2JRKJffcc4+pYuk2NFodewtqeG9PAf/YmM2T\na4/zwoaTrNhdwN6CGrQ6851tqdfr+eemHMI9Hbm6j7/J758U7IatUsGhknqT3/tS6XR69hXWEufn\nctFiuEII47t/WARlDW0st6Dj4RpaNTz23TH6+Ltyc1roZa+NDPFw5NWre7OvqJY3tuYZOErRHV30\nXWvUqFF8/vnnTJ06VT5xdEJDq4bVWSV8e6yM9cfLqGnRtH9PqYBf53wejiqmJQYxf0g4ScGGK7rd\nET+crOBAcR1PpUcT5WP6dWL2Kht6+zpypNTyq8adqmqirlVDrJ+LuUMRQgATe/vj72rPe3sKuXNw\nuLnDAeD1LacoqWvlxXGxnS7lMm9gD5buPM1zG04yKyUELwspOyWs00UTwKVLl/L666+jUqlwcHBA\nr9ejUCioq7P8N2hLcKColqU7T/PhviLqWzV4O9kyLNKbgT08iPNzJcbPGQ9HO9Q6HbkVTew6Xc22\nvEre31vI2xlnGB/ry3+mJJgkGdPr9Ty9/gR+LnZMTwwyW8KfGuTCh1kVVDa04u1iuWVJ9hXWAtBb\n1uMIYRFUNkruGNiD5zac5EBhLUkhpv0A/XtVTW28tiWXkT29mZwQ0On2lEoFb13Xl/4LtnLP6iw+\nmpVigChFd3XRBLC+3vKn4ixNY6uGVQeKWbrzNJkFNdjbKBndy4cpCQGMjvYl1MPxvGdh9vB04spo\nHyCa0roWnt9wkpV7Col/dTPPjOnFwyN6GnVn7DdHz7LrdDVPjIqijxl3tfYLdOad/WVsy69iUnyg\n2eK4mL2FNaiUCgZcwlFrQgjjmjcojBd/OMnrP53ivRv7mTWWf/6YS32LhjsH98DTyTCjdamhHszt\nH8rKzALuGxrJ8cs+YQAAIABJREFUwHDreP1p1WjJq2yioU2LnY2SAFd7fF3sZGbRjDq0cKm6uprs\n7GxaWlravzZ8+HCjBWWtDhXXsXTnaT7YV0hdi4ZILyceviKSyQkBpIV6XlK9tQA3BxZfm8hfR0Yx\n5+P9PPbdcT7aX8SXc9OINEIJD41Wx+PfHSfUw4GZKSEGOaz9ciUHnvv5Mk7XWHQCuO/nDSAhHrIB\nRAhLEezuyPg4f746UkpzmwbHC5xTbGxVTW0s2p7H2Bhfg1dT+OfE3nx+qIT5X2RZ9IaQ4toW3tl9\nhq+OlLKvsJbfL28/NyPmxZSEQK6K87eYk5S6i4v+Zrz99tssXLiQwsJCkpKS2LVrF4MGDTJoGRhr\npdfrOVnZzIqj2XyRVcLen0uCjIr25dqEAMbE+BLi4dipX85wLyc23z2Y5bsLeHDNEfq99hMfzurH\nxN6dn074tf/uOM3h0npeuSrO7Gvawtzt8HKy5XCp5Y4+6/V69hbWckVPb+xVlrPbUAgB9w2N4Juj\nZ3lz52kevKKnWWJYvD2fxjYtN6eFGvwED29nO16aEMf8L7J4J+MMtw3sYdD2O6usvpWn15/gnYwz\naHV6EgLPbYAJ93TCxd6GNq2Osvo2sisa2Z5XzZeHz6JUQHovX+4dGsG4WD+TFhL/M1qdHq1Oj62N\nwmIT7ct10QRw4cKFZGZmMnDgQDZt2sTx48d5/PHHTRGbxRv/VgbrT5w72Dk+wJUHh0cysbcf/cM8\ncTHgrlCFQsGtA8IYGuHJ1e9kcs07mTw+KprnxsUYZKTubH0rT607zoAwD2anBJv9Sa5QKBgY5snh\n0jq0Or3FvBD82unqZqqb1WZPloUQfzQq2oceno6s3FNolgSwqU3Df7bmMSzCy2i1VOcNDOM/W0/x\n9/UnmJkcbLaRzt9btb+Iuz4/RH2rlqnxAcxMDmZ4T+8LToFrtTq+P1nOZwdL+OpIKRPf2U2IuwPz\nh4Rz64AwfI28Dry+RcP+olr2F9VysLiOU1VNFNU2U1LXSlObll8GLVVKBa72KtwdVPi52OPvao+f\niz1+rnbn/u/yy//tzyW5Gh1tWj3lDa3kVTVxqqqJXj4ujAmxnAGDiz5jHBwccHA4N8XV2tpKbGzs\neU8G6Y6m9w0ixl3B+MRwUkI9jP5EjfFz5cBfhnP9+3t5cWM2+4tq+eSmlE4lm3q9njs+O0iTWstf\nR/Qk0N3RgBFfvkHhnnx3vIy8ykaifC0vyfplA0gff8uLTYjuTqlUcPfgcP727TF25VebfJ3c8t0F\nVDS2MSfNeCcpqWyULLk2kVFv7uSJtcd5fVK8Ue7TUW0aHfeuzmLZrjMkBLjy9zG9GBfrd9ESWTY2\nSsbH+TM+zp9WtZa3Ms6wIrOAx747ztPrTzAlPoB7hkYwNMLLIIMTTW0aduRXsymngh9zKsn8Vek1\nLydbwjwcifByIi3UAydbG1TKcyN/rRodDa0a6ls11DSrOVHewK7T1VQ1qztUus1GqWBinB9jQkI6\n/TMYykUzh5CQEGpqapg8eTLp6el4enrSo4dlDTeby60DwigOVREUZLp6eU52Kr66pT/PrD/BCz9k\nk/Lvn1h3+0AivC+vvMDy3QWsOXKWB4ZFMKG36ev+XciAsJ8LQudWWmQCuLewBhsFVrMAW4ju5pb+\noTy17jivb8nl0/BUk91XrdXxr825JAW5MSXBuGuYr4z2YUKsH2/uPM0DwyIJ62SZmctV26xm0ruZ\nbMmt5ObUEB4dFUWM36VvJLS3teGeoRHcMzSCnflV/GdrHt8cPcunB0uI8HJiRr8grusbdElnr7dq\ntGScrvk54atg1+lq2rR6bBTniofPSQ2hb6AbfYPciPFzwdPJtkPLerQ6PY1tGhpbNZTUtVJY10JZ\nfStVTWqa1VpsbRTY2ihxs1cR5uVIlLczAa4O1FeVXXK/GMtFE8DVq1cD8MwzzzBy5Ehqa2sZN26c\n0QMTF6ZQKHh2XCxJwe7M+fgA/V7fwudzUhnV69IqzO/Mr2L+F1mkhbpz//COn01pCmlh504B+WWk\nzdLsK6wl0tuZEAsZMRVC/JaPiz2T4gP47lgZ9S1qXA28Du9CPjlQzOnqZh4YFoGXgXb+/pk3psYT\n+8om7v4ii29uG2D0+/1eRUMr6Ut3kVVaz/PjYpg/JNwgO54HhXsxKNyL6qY2Fm3P55sjZ3nlxxz+\nsTEHH2c7BoR50D/MkzAPR7ycbHF3VNHYpqW6SU1ZQytHShvIKq0jq6SOZrUOBRDr58L1SUGkhngw\nJMKLGD+Xy55Bs1EqcHOwxc3BlkB3R5I7eJ0lrWzv0E++bds2srOzmTt3LuXl5RQVFREREWHs2MRF\nTEkIJMbXhYnvZDB22S6eHtOLJ0b36tCauaOl9Uxanomvsx3/mBBHuJfpiz7/GQ9HW6J9nDl61pJ+\nXc7R6/XsKaxlUA9PHCwoaRZC/NYDwyL57GAJi7bl89joaKPfT6fT8/LGHHp6OzE9Kcjo9wOI9Hbm\n3qERvL7lFJtzKhgR5WOS+8K59XMT3t7NsbMN/Pua3tw6IAwnA69F9HSy46n0XjyV3ovs8gbe31PI\ngeI6jpTW892xMi40+erhqCLax5kp8YEkh7gzIMyDWD8XvJ2l9MwvLvov9eyzz7Jnzx5OnDjB3Llz\nUavVzJo1i+3bt5siPnERvQNc2f/QcKav3Mvf15/k6yNnWT4jiYRAtwtesymngmtX7EGpgAWT+vxc\ne9Dy9A/z4PsT5ai1OmyNWP/wUhXVtlDR2CYbQISwcIPCPYnxdWbFngIeHRVl9Df+746XceRsPc+N\njSHYhLMDz4yJYWVmAfeuPszBv1xhkjJerRotU1Zksq+whn9O7M28QT2MXhEh2teF58bHAudKlxXW\nNpNX1UxpfQs1TWocbW1wd7Al0M2eEA8HPB3t5JjOP3HRd9XVq1fz1Vdf4ex8boQoKChIikNbGHdH\nO9bfMZD/TI4nu6KRpNe2MH3lHn7KrUSj1bU/Lqukjts+OciV/92Jq4OKd69PYkpCoMV+GkoL9aC8\nsc3ijoXbKyeACGEVFAoF9wyN4GR5I5tzK41+v1d+zCHQ1Z7rTTT69wtXBxWvTIzjcGk9/92Rb/T7\naXV6Zn64n43ZFTyV3ov5Q8NNXg5LZaMk3MuZkVE+3NAvhLuGRHBz/zCmJAYyMNyLEA8nSf4u4qK9\nY2d3brj0lyShsbHR6EGJS6dQKLh3WATXJwXx8NdH+PxQKf87VIKD6lzF9doWDdXNamyUCmYlB3PP\n0Aj6h3lYbPIH5yreA2zNqyIp2MPM0fy/fYW1KBUwSE4AEcLizUkN5W/fHOP1zbmMNOL06LZTlWzL\nq+KvI3oS7Wv6JTVz08JY+FMez204yZzUEFyMtOZRr9dz1+eH+PxQCQ8Oj+SvI3tKLVQrddEE8Lrr\nruOOO+6gpqaGt956i+XLl3P77bebIjZxGfxc7XnvxmT+PamN9/cUkllQQ2VTG672Knp6OzGmly8D\nwz0Nvk7DGJKC3FAqIKvYskac9xbWEO7pRJiXbAARwtK5Oqi4LimIj/cVUdHQio+RynW9sikXD0cV\n1yeZ5xx1pVLBm9MSGbJoO/evOcI71ycZ5T5PrD3OW7vOMDctlGfG9rKK9xJxfh0aARw9ejRubm6c\nOHGC5557jvT0dFPEJjrB29mOB66INHcYneJsryLG18XiNoLsLawlOcTdonZNCyEu7IHhEazILGDB\n1lO8MD7O4O1nldTxzdGz3DmoB0nB7gZvv6MGR3gxKzmYlZkF3JIWypBIb4O2/9rmXP6xMYcp8QG8\nclWswU84EaZ10TWAZWVlPPbYY5w+fZrRo0czevRoU8QlBAADwjw4eraBVrXW3KEAUFLXQml9K7EW\nWJtQCHF+fYPc6Rfsxvt7i9DrL16091K9vDEHR1sl1ycFmf3kov9MicfD0ZZbPjlIq8Zwr5srMwt4\n+OujjIr2YcHkPvi6yhno1u6iCeALL7xAdnY2t956KytWrCA6OprHH3+c3NxcU8Qnurm0ME+qm9Uc\nKrGMjSC/1CWMkxNAhLAq9w2N5Ex1M18eLjVouyfKGlh1oIjpiUEMsoDC8J5OdrxzfRInKxq5639Z\nBmlzdVYJt356kP5hHiyc1IcwT/MUnBaG1aHaGgqFgoCAAAICAlCpVFRXVzNt2jQeeeQRY8cnurnU\n0HPTKVvzqswcyTl7C2tR8P8nlQghrMOMfkG4O6hYvD3foO2+8MNJ7GyUzE4JtpjNEJPiA7i1fyjv\nZhbw6YGiTrW15nAp1723l95+LiycFE+fPykxJqzLRRPAhQsXkpKSwiOPPMKQIUPIysriv//9L3v3\n7uXzzz83RYyiG0sMdEOlVHC4xDLWAe4rrCHM05FwMx25JIS4PA62NtycFsrm3EpOVRqmmsXJ8gY+\n2lfE9L6BBl9v11lvTE0gzs+FWz45yKHiyztR6esjpUx/bw8xvi68MSVejr7sYi6aAFZVVfHFF1+w\nfv16pk+fjq3tuUWfSqWSb775pkM3+fDDD0lMTCQhIYHBgwdz8ODB9u+tW7eOmJgYoqKiePnll9u/\nPnPmTBITE3n88cfbv/bCCy/w5ZdfdviHE9bPwdaG3v6WsxFkT2EtsX4uuDrIzjchrM09QyPQ6fQ8\n//1Jg7T34g/Z2NoomZUcYnGbwhxtbVg3bwD2KiXjlmWQf4lJ72cHi5m2ci/RPs4smhLPFSY8YUSY\nxkUTwGeffZYePXqc93txcR3bTRUREcGWLVvIysriqaeeYt68eQBotVrmz5/P2rVrOXr0KB9//DFH\njx7l0KFDODo6cujQITIzM6mtraWkpISMjAwmT558CT+e6Ar6h3ly7GwDbQZc0Hw5yupbKaptIU5O\nABHCKkX5ODM1MYBPD5ZQUtvSqbZyKhr5cF8R0xIDGdbTskb/fhHm6cS62wfQ0KZl6KIdHO/AB2mt\nTs/rO4q57r29xPm7sGhKPCMs9LQo0TkmOV9r8ODBeHqeGzoeOHAghYWFAOzevZuoqCgiIyOxs7Nj\nxowZrFmzBltbW5qbm9HpdKjVamxsbHj66ad59tlnTRGusDBpoR7UtWrYV3R50xiG8sv95Qg4IazX\ns2NjaVJreWrd8U618+Ta46iUCmanWN7o36+lhXmyft4AGtUaUhdsZWVmwQV3Qh8qrmPEkh28trOE\nCXF+rJzRl5HRviaOWJiKyeex3nnnHcaPHw9AUVERoaGh7d8LCQkhIyODuLg4fH19SU5OZvbs2eTk\n5KDT6UhOTv7TtpctW8ayZcsAKC0tpbi42Hg/yM/Ky8uNfo/u5vd92sNBDcC6g3mE2XbuU3tnbD5W\nAkBPxzaTPLeMRZ6zxiX9a3yd6WNPYFyUOx/uK+SOvh4Eu9ldchuZRQ18cqCY2QlexDpb/utBDztY\nNzOWm1fncPOqA7zyw3FuTPAlwd8JlVJBTlULa7Or+T63Fmc7JfcnuXDbQH+8FE0UFzeZO/wuxZJe\nH0yaAG7atIl33nmHbdu2XfSxCxYsaP/z1VdfzdKlS3nxxRc5ePAg6enp5z2NZN68ee3Ty6mpqQQF\nmeY8RlPdpzv5dZ/6+OmwtTnOqQaFWfs6u7aIEHcHUmLC8XS69DcNSyLPWeOS/jW+zvTxG9PdiXtl\nEy/tLGf13LRLular0/Pip9vwcbbjnpG96RFqHRsjgoLgcEw4r2/J5c0dp3lqU8Fvvu/rbMfNaaHc\nlBpCT4dWQkOCzRRp12cprw9GSwAXL17MW2+9BcB3331HRUUFt912G2vXrsXb+9x6ieDgYAoK/v9J\nWFhYSHDwb590a9asISUlhYaGBnJzc/n0008ZO3YsM2fOxMlJdmJ2B3YqJQkBbhw922DWOPYW1hLn\n54KHo1S/F8KaRfk4c+egHizens9PuZUMv4Q1fG9syyOzoIbnx8W0n1duLWyUCv46MoqHR/RkZ34V\n+4rqaNPoCPZwIC3Egx5eTtgoFRY/oikMw2hrAOfPn8+BAwc4cOAAGo2GqVOn8v7779OrV6/2x6Sl\npZGdnU1eXh5tbW2sWrWKa665pv37arWaBQsW8Mgjj9Dc3Nx+vqJWq6Wtrc1YoQsLNCDMg+NlDbSZ\n6USQysY2Tlc3E+PnYpZzPoUQhvX8+Fh8nO245ZMDHT4xI6eikSe+O86QcE9u7R+K0synflwuhULB\n4Ahv7hkawUMjenJ9UjCRPs5mP8VEmJZJNoE899xzVFZWcvfdd5OUlERqaioAKpWKRYsWMXbsWOLi\n4rjuuuvo06dP+3WLFy9mzpw5ODk5kZiYSFNTEwkJCaSkpODhYV2fvETnpIV50NimJbPQPBtB9hfJ\nCSBCdCUejrYsv74vuZVN3P35xU/MaGrTcO2KPaiUCh4bFU2gu6MJohTCeEyyBvDtt9/m7bffPu/3\nJkyYwIQJE877vQceeKD9zwqFgo8//tgo8QnL98tUy9ZTlQyJ8DL5/ff+nHj2M+NB70IIw5rYJ4C5\n/UNZvruApGB37h0acd7HqbU65nx8gKySOhZO7sPYGNkZK6yfVLMVViHOzwUHldJsZwLvK6wlyM2e\naB9ns9xfCGEcS6clcrKsgQe/PIxep+e+4ZG/+X5Dq4Y5H+/ni6xSHhgWwZy0UFQ2Jpk8E8KoJAEU\nVkFloyQh0I1jZtoIsrewhhg/F6vf/SuE+C1bGyXf3T6AiW/v5v41R/j2WBn3D48gwNWe3Wdq+MfG\nHM7UNPPQ8EieSI/GzUE2gYmuQRJAYTUG9vDgrV1naFVrsTdh4dWaZjW5lU2MjfGVRdJCdEFuDrZs\nunswj317jGW7TnPV2/9fqy3Kx4m3r0tket8gSf5ElyIJoLAaaaEevLEtn12nq016LuV+OQFEiC7P\nRqngn1f35onRUaw5XEpJXStRPs4M7OFJsIds+BBdjySAwmqk/bwRZFt+lUkTwH0/bwBJDHQz2T2F\nEObh7mjHTWlh5g5DCKOTlazCavTydcHJ1oaDxabdCLK3sBZ/FztiZARQCCFEFyEJoLAaSqWCpGDT\nbwTZV1hDrJ8r3s6yAUQIIUTXIAmgsCoDwjw5Wd5Ac5vGJPerb9FwsqKRWD9nbKX0gxBCiC5C3tGE\nVekf5kGbVs/O/GqT3O9AcS16PcT5u5rkfkIIIYQpSAIorEr7iSD5VSa53y8ngCQESgIohBCi65AE\nUFiVnt5OuNrbcMhEG0H2Fdbi42wnI4BCCCG6FEkAhVVRKBT0C3bnqIk2guwtrCHWzwUf2QAihBCi\nC5EEUFidQT08yalopL5FbdT71LWoOVbWQG9/F9kAIoQQokuRdzVhddLCPNDo9GzLM+46wD0F5zaA\nxAfI9K8QQoiuRRJAYXVSQ85tBNmeZ9ydwLvPnGs/OdjdqPcRQgghTE0SQGF1wjwd8XS0JavUuBtB\nMs7UEOrhQJSvnAAihBCia5EEUFgdhUJBcoi70U8E2X2mmvgAV7ydbI16HyGEEMLUJAEUVmlgD09O\nVTZS1dhmlPYLa5oprmulj78rKtkAIoQQoouRdzZhldJCPdDqYcupSqO0n/Hz+j/ZACKEEKIrkgRQ\nWKW0n08E2WGkncC7z9SgUiroG+xmlPaFEEIIczJpApiZmYlKpeJ///tf+9dWrlxJdHQ00dHRrFy5\nEoDW1lbGjRtHfHw8S5YsaX/svHnz2LdvnylDFhYqyN0BPxc7jpYZZx1gxpkaevk6E+bpZJT2hRBC\nCHMyWQKo1Wr529/+xpgxY9q/VlVVxbPPPktGRga7d+/m2Wefpbq6mvXr1zN06FAOHTrE+++/D8DB\ngwfRarUkJyebKmRh4dJCPTh2th69Xm/QdrU6PXsKaogPcMXTUTaACCGE6HpMlgC+8cYbXHvttfj5\n+bV/bf369aSnp+Pl5YWnpyfp6emsW7cOW1tbmpqaUKvV7W/uTz31FM8//7ypwhVWoH+YJ/lVzRTU\nNBu03aNn62ls09InwBWFQmHQtoUQQghLYJIEsKioiNWrV3PXXXf94euhoaHtfw8JCaGoqIj09HTy\n8/MZOHAg9913H1999RXJyckEBQWZIlxhJdJC3dEDP2ZXGLTd3WdqANkAIoQQoutSmeImDzzwAK+8\n8gpKZcfyTZVKxUcffQSAWq1m7NixrFmzhoceeogzZ85w0003cc011/zhumXLlrFs2TIASktLKS4u\nNtwPcQHl5eVGv0d309E+DbfXoAC2HCtkTIjhnsqbjhXhYqckzK7ZJM8hU5PnrHFJ/xqf9LFxSf8a\njyX1rdESwMWLF/PWW28BUFtby4wZMwCoqKjgu+++Q6VSERwczObNm9uvKSwsZMSIEb9pZ8mSJdx0\n003s2rULd3d3PvnkE6688srzJoDz5s1j3rx5AKSmpppsxFBGJg2vI30aBPT2z+VYjdag/wYHyk6S\nEOhOfM9wHGxtDNauJZHnrHFJ/xqf9LFxSf8aj6X0rdGmgOfPn8+BAwc4cOAAeXl55Ofnk5+fz7Rp\n01iyZAmTJ09m7NixfP/991RXV1NdXc3333/P2LFj29uorq7mm2++4aabbqKpqQmlUolCoaC52bBr\nvoT1Gt7Tm6ySeupb1AZpr7KxjSNn6+kX7NZlkz8hhBDCrHUAvby8eOqpp0hLSyMtLY2nn34aLy+v\n9u8/99xzPPHEEyiVSsaOHcvWrVtJSEhg9uzZZoxaWJLhkd40qbVsyjFMQehtP9cV7BfsbpD2hBBC\nCEtkkjWAv7ZixYrf/P2WW27hlltuOe9j//3vf7f/2cHBge+//96YoQkrNDTi3AeGLbmVXBMf0On2\ntp6qxM5GwcAeHp1uSwghhLBUchKIsGohHo6Eejiwv6jWIO39dKqKPgGuhHs5G6Q9IYQQwhJJAiis\n3uhoX/YU1tLUpulUOw2tGvYV1dIv2B0Xe5MPjgshhBAmIwmgsHqje/lQ36rhh5Odqwe49VQlWp2e\nZFn/J4QQoouTBFBYvSujfADYcLJz9ZU2nKzAzkbRvq5QCCGE6KokARRWL8DNgVg/ZzILajrVzoaT\n5SQFuxPlI+v/hBBCdG2SAIouIb2XLweK66hqbL2s60vqWjhcWs+AMA+cZf2fEEKILk4SQNEljIv1\no1Wj44vDpZd1/S/TxwPCPA0ZlhBCCGGRJAEUXcKVUT442ir5/vjlrQNcd7wcT0dbBodLAiiEEKLr\nkwRQdAkOtjaMivblp7wqNFrdJV3bptHx3bGzDIv0IsTD0UgRCiGEEJZDEkDRZUyOD+BsfSs/Zl9a\nOZjNuRXUtmgY0dMbWxv5lRBCCNH1ybud6DKuivNDAXyRVXJJ163OKsXRVtleTkYIIYTo6iQBFF1G\ngJsDg8M9WXuiHJ2uY9PAOp2eNUdKGdTDkxg/FyNHKIQQQlgGSQBFl3JzWihnqptZe7ysQ4/fmF1B\nSV0ro6J9cLC1MXJ0QgghhGWQBFB0KdP6BmFno+CDvUUdevw7u8/gZq9iYm9/I0cmhBBCWA5JAEWX\n4uFoy1Vx/qw7UUZDi/pPH1vZ2MbqrBLGx/kR5+9qogiFEEII85MEUHQ59w6LoKZZw7+2nPrTx63c\nU0CbVs+kPv6y+1cIIUS3Iu96ossZ0dObpCA3lu8+c8GagE1tGv75Yy4pIe6M7uVr4giFEEII85IE\nUHQ5CoWCJ9OjKahpYeHWvPM+Zsn205xtaOWuQT3wdbE3cYRCCCGEeUkCKLqkyfGB9At24/kNJyms\nafrN9/KrmnhpYzYDwzy4Jj7ATBEKIYQQ5iMJoOiSbJQKPpqZTLNay7SVe2lo1QDnpn6nrdyDWqvj\nb1dGyeifEEKIbkll7gCEMJZYf1cWTo5n/hdZJL22hakJgXx2sJj86mb+dXVvKf0ihBCi2zLZCODm\nzZtJSkqiT58+XHHFFe1fX7duHTExMURFRfHyyy+3f33mzJkkJiby+OOPt3/thRde4MsvvzRVyKIL\nuHNwOF/cnIpap+f1n05ha6Nk6bQE5g3sgUp2/gohhOimTDICWFNTw9133826desICwujrOzcKQ1a\nrZb58+ezYcMGQkJCSEtL45prrkGj0eDo6MihQ4dIT0+ntraWpqYmMjIyePLJJ00RsuhCJsUHcnXv\nAKqa2tDo9AS4OZg7JCGEEMKsTDIE8tFHHzF16lTCwsIA8PPzA2D37t1ERUURGRmJnZ0dM2bMYM2a\nNdja2tLc3IxOp0OtVmNjY8PTTz/Ns88+a4pwRRekVCrwcbGX5E8IIYTARCOAJ0+eRK1WM2LECOrr\n67n//vu56aabKCoqIjQ0tP1xISEhZGRkEBcXh6+vL8nJycyePZucnBx0Oh3Jycl/ep9ly5axbNky\nAEpLSykuLjbqzwVQXl5u9Ht0N9KnxiX9a1zSv8YnfWxc0r/GY0l9a5IEUKPRsHfvXjZu3EhzczOD\nBg1i4MCBf3rNggUL2v989dVXs3TpUl588UUOHjxIeno6t99++x+umTdvHvPmzQMgNTWVoKAgw/4g\nF2Cq+3Qn0qfGJf1rXNK/xid9bFzSv8ZjKX1rtCngxYsXk5SURFJSEkFBQYwdOxZnZ2d8fHwYPnw4\nBw8eJDg4mIKCgvZrCgsLCQ4O/k07a9asISUlhYaGBnJzc/n000/53//+R1NT0+9vKYQQQgghOsBo\nCeD8+fM5cOAABw4cYMqUKWzbtg2NRtO+mSMuLo60tDSys7PJy8ujra2NVatWcc0117S3oVarWbBg\nAY888gjNzc0oFArg3OaRtrY2Y4UuhBBCCNGlmWQKOC4ujnHjxpGYmIhSqeS2224jPj4egEWLFjF2\n7Fi0Wi233HILffr0ab9u8eLFzJkzBycnJxITE2lqaiIhIYEJEybg4eFhitCFEEIIIbochV6v15s7\nCGPw8fEhPDzc6PcpLy/H19fX6PfpTqRPjUv617ikf41P+ti4pH+NxxR9m5+fT0VFxUUf12UTQFNJ\nTU1lz5495g6jS5E+NS7pX+OS/jU+6WPjkv41HkvqWzkKQQghhBCim5EEUAghhBCim7F55plnnjF3\nENYuJSUPAkwOAAAQ3ElEQVTF3CF0OdKnxiX9a1zSv8YnfWxc0r/GYyl9K2sAhRBCCCG6GZkCFkII\nIYToZiQBFEIIIYToZrpNAuji4mLuEP7ULbfcgp+fX3uBbGujUCiYNWtW+981Gg2+vr5MnDjRIO2P\nGDGiQ1vnx40bh4eHh8Hua8mM2eeVlZWMHDkSFxcX7rnnnk63Z60u9rrR0eflL5544glCQ0Mt/vWo\nI1588UX+r717D4qqjuIA/oUVRVeltJFMGNDUgGWfCIq48hIkH2vCAEM+UMJGkVRUKG0SHa1MbfDR\nTEyNAuID0kRn1NERhcRXCAqOMYCla02+Vo1VHunCnv5gvLEiKAiC7Pn8xe7ee+7v/nY599zffUkk\nEshkMigUCvz666+tipObm4szZ860WbscHR1f6B5oL6ojc4qFhQWWLFkivN6wYQM66rT9tvzNvg75\npbP/j7ZFzWA2BWBHqK2tfeFpZ82ahSNHjrRja9qXWCzG5cuXUVNTAwA4duxYo+c6P09L+qsp8fHx\nSE9Pf+k4r4O26POmWFtbY/Xq1diwYUObxGP1Jk+ejPz8/I5uxks7e/YsDh48iAsXLuDSpUvIzs6G\nvb19q2K1dQH4Mp6Vgzoyp/To0QP79u1r04K2Izzdr5xfnu1V1wxmVQBWVlbC398fKpUKUqkUBw4c\nAFB/12xnZ2fMmTMHEokEgYGBwka14R7+3bt3haeLaLVaqNVqqFQqqFQqIYHl5uZCrVZDo9HAxcUF\nK1aswMaNG4U2fP7559i0aVOjto0dOxb9+vVrz9VvdxMmTMChQ4cAALt370ZERITwWX5+Pjw9PaFU\nKjF69GiUlZUBAFJTU6HRaODn5wd/f38AwDfffAOpVAq5XI7PPvtMiLFnzx54eHhg+PDhyMvLe2Yb\n/P390adPn/ZaxU6nNX0+duxYFBUVCdONGTMGxcXFJnHFYjHGjBkDa2vrV7AWnVtubq7J6E9sbCxS\nU1NNptm2bRsWLVokvP7xxx8RFxfXKNaoUaMwcODAdmvrq3Lz5k289dZb6NGjB4D6Jy+98847AIDC\nwkJ4e3vDzc0N48ePx82bNwHU59KFCxdCoVDA1dUV+fn50Gq1SE5ORlJSEhQKBfLy8qDT6RASEgJ3\nd3e4u7vj9OnTAICVK1ciMjISarUaDg4O2LdvHxISEiCVShEUFASDwSC0b926dZBKpfDw8MDvv/8O\nAM3GnTFjBry8vDBjxoxG69qROaVbt274+OOPkZSU1OgzrVYLPz8/yGQy+Pv7488//4Rer4eDgwOM\nRiMAoKqqCvb29jAYDPjjjz8QFBQENzc3qNVqlJaWAqgvJObNm4dRo0ZhyJAhyM3NRVRUFJydnTFr\n1iyTZcbFxUEikcDf3x86nQ4Amo07d+5cjBw5EgkJCSZxXpf80uVrBjITYrGYDAYD6fV6IiLS6XT0\n7rvvktFopGvXrpFIJKKLFy8SEVFoaCilp6cTEZG3tzedP39emMfBwYGIiKqqqqimpoaIiMrLy8nN\nzY2IiHJycqhXr1509epVIiK6du0aKZVKIiKqq6ujIUOG0N27d5/ZxmvXrpFEImmHtW9/YrGYiouL\nKSQkhGpqakgul1NOTg5NnDiRiIj0ej0ZDAYiIjp27BgFBwcTEVFKSgoNGjSI7t27R0REhw8fJk9P\nT6qqqiIiEt739vamxYsXExHRoUOHyN/fv8m2NFxuV9baPk9NTaWFCxcSEVFZWZnw232WlJQUmj9/\nfjuvSeclFosb/Z7mz59PKSkpRPR/fnj48CENGTKEHj9+TEREnp6edOnSpWbjvs4ePnxIcrmchg0b\nRvPmzaPc3FwiInr8+DF5enrSnTt3iIgoIyODZs+eTUT1fRUdHU1ERL/88ouQ6xITE2n9+vVC7IiI\nCMrLyyMiouvXr5OTk5MwnZeXFz1+/JiKioqoZ8+edPjwYSIi+uCDDygrK4uIiBwcHGjNmjVERJSW\nliZ8d83FValUVF1d3eT6dlROEYvFpNfrycHBgSoqKmj9+vWUmJhIRESTJk2i1NRUIiLaunUrTZky\nhYiINBoNnThxgojq+/+jjz4iIiI/Pz8qLy8nIqJz586Rr68vERFFRkZSeHg4GY1G2r9/P/Xp04cu\nXbpEdXV1pFKphO0iANqxYwcREa1atUrIC83FnThxItXW1ja5fp05v5hDzdDt5crH1wsRYfny5Th5\n8iQsLS3x999/4/bt2wCAwYMHQ6FQAKi/R49Wq202lsFgQGxsLIqKiiASiVBeXi585uHhgcGDBwOo\nPx+lf//+uHjxIm7fvg2lUon+/fu3zwp2MJlMBq1Wi927d2PChAkmn+n1ekRGRuLKlSuwsLAw2VsP\nCAgQ9mSys7Mxe/Zs9OrVCwBM9nCCg4MBvNj3Yy5a0+ehoaFYvXo11q9fj23btjXay2ct17t3b/j5\n+eHgwYNwdnaGwWCAVCrt6Ga1m969e6OwsBB5eXnIyclBeHg41q5dixEjRuDy5csICAgAANTV1ZmM\neD4ZoR47diwePHiAioqKRrGzs7NRUlIivH7w4AEqKysBAO+//z6srKwglUpRV1eHoKAgAIBUKjXJ\nCU+WExERIYzENhdXo9GgZ8+eL90v7aFv376YOXMmNm/ebNLGs2fPYt++fQCAGTNmCKNs4eHhyMzM\nhK+vLzIyMhATE4PKykqcOXMGoaGhwvyPHj0S/p48eTIsLCwglUpha2sr/HYlEgm0Wi0UCgUsLS0R\nHh4OAJg+fTqCg4OfGzc0NBQikagdeuXV6Oo1g1kVgDt37oROp0NhYSGsrKzg6OiIf//9FwCEQxkA\nIBKJhOHcbt26CcPpT6YFgKSkJNja2qK4uBhGo9FkKFssFpssNzo6Gqmpqbh16xaioqLabf06A41G\ng6VLlyI3Nxf37t0T3v/iiy/g6+uLrKwsaLVa+Pj4CJ893V9NefIdiUSiNjlfsKtoaZ/36tULAQEB\nOHDgAH766ScUFhZ2UMtfDw1zAGCaBxqKjo7GV199BScnJ8yePftVNa/DiEQi+Pj4wMfHB1KpFGlp\naXBzc4NEIsHZs2efOY+FhUWzrwHAaDTi3Llzzzw8+CQHWFpawsrKSpjf0tLSJCc0jPvk7+bivmgO\n6iiLFi2CSqV6od+VRqPB8uXLcf/+fRQWFsLPzw9VVVV44403TE79aKhhvzbcFj7drw1ZWFjAaDQ2\nG7ez9+vzdPWawazOAdTr9RgwYACsrKyQk5OD69evP3ceR0dHYQO5d+9ek1gDBw6EpaUl0tPTUVdX\n12SMqVOn4siRIzh//jzGjx//8ivSiUVFRSExMbHR6IderxcuUHj6/KmGAgICkJKSgurqagDA/fv3\n262tXUVr+jw6OhoLFiyAu7s73nzzzVfV1NeSg4MDSkpK8OjRI1RUVOD48ePPnG7kyJH466+/sGvX\nLpNzMbuisrIyXLlyRXhdVFQEBwcHvPfee9DpdEIBaDAY8NtvvwnTZWZmAgBOnToFGxsb2NjYoE+f\nPnj48KEwTWBgILZs2WISu6WeLCczMxOenp5tFrej9OvXD2FhYdi6davw3ujRo5GRkQGgvlBRq9UA\n6kdn3d3dsXDhQkyaNAkikQh9+/bF4MGDsWfPHgD1I1tPn/f7PEajUdgG7tq1C2PGjGmTuJ1ZV68Z\nzKIArK2tRY8ePTBt2jQUFBRAKpVi+/btcHJyeu68S5cuxffffw+lUmlyJVZMTAzS0tIgl8tRWlra\n7J5O9+7d4evri7CwsCaHwyMiIuDp6YmysjLY2dmZ/KO/Tuzs7LBgwYJG7yckJGDZsmVQKpXNjt4F\nBQVBo9FgxIgRUCgULb5KTK1WIzQ0FMePH4ednR2OHj3a4nV43bSmz93c3NC3b99mRxQcHR2xePFi\npKamws7OzuTwmTl4kjfs7e0RFhYGV1dXhIWFQalUNjlPWFgYvLy8miyqExISYGdnh+rqatjZ2XXY\nLT1eVmVlJSIjI+Hi4gKZTIaSkhKsXLkS3bt3x969e/Hpp59CLpdDoVCYXOFrbW0NpVKJuXPnCjlu\n8uTJyMrKEi4C2bx5MwoKCiCTyeDi4oLk5OQWt++ff/6BTCbDpk2bhAsoWhu3s+SUJUuWmGyDtmzZ\ngpSUFMhkMqSnp5tcKBAeHo4dO3YIh2yB+iJx69atkMvlkEgkwgUNL0osFiM/Px+urq44ceIEVqxY\n8VJxO3N+MZeawSweBVdcXIw5c+Z02O0XjEYjVCoV9uzZg2HDhnVIGxhr6MaNG/Dx8UFpaSksLc1i\nP7DFWpM3Jk2ahLi4OOGKdvY/Hx8fbNiwASNGjOjopjDWLHOpGbp85k9OTkZERATWrFnTIcsvKSnB\n0KFD4e/vz8Uf6xS2b9+OkSNH4ssvv+TirwktzRsVFRUYPnw4evbsycUfY68xc6oZzGIEkDHGGGOM\n/Y93/xljjDHGzAwXgIwxxhhjZoYLQMYYY4wxM8MFIGOsyxOJRFAoFJBIJJDL5fj2229Nbu7cHuLj\n4yGRSBAfH9+uy2GMsdbgi0AYY11e7969hcd+3blzBx9++CG8vLywatWqdlumjY0N7t+//0oehVVb\nW4tu3czqwU6MsZfEI4CMMbMyYMAA/PDDD/juu+9ARNBqtVCr1VCpVFCpVMKNi2fOnIn9+/cL802b\nNq3RTW6JCPHx8XB1dYVUKhWeQKHRaFBZWQk3NzfhPaD+/l7Dhg2DTqcTXg8dOhQ6nQ46nQ4hISFw\nd3eHu7s7Tp8+DQDIz8+Hp6cnlEolRo8ejbKyMgD1T3fRaDTw8/PjW88wxlqOGGOsixOLxY3es7Gx\noVu3blFVVRXV1NQQEVF5eTm5ubkREVFubi5NmTKFiIgqKirI0dGRDAaDSYy9e/fSuHHjqLa2lm7d\nukX29vZ048aNJpdJRLRy5UpKSkoiIqKjR49ScHAwERFFRERQXl4eERFdv36dnJyciIhIr9cLyz12\n7JgwfUpKCg0aNIju3bvXyl5hjJkzPmbAGDNrBoMBsbGxKCoqgkgkQnl5OQDA29sbMTEx0Ol0+Pnn\nnxESEtLoMOupU6cQEREBkUgEW1tbeHt74/z589BoNE0uLyoqClOmTMGiRYuwbds24XF82dnZJo/D\nevDgASorK6HX6xEZGYkrV67AwsICBoNBmCYgIAD9+vVry+5gjJkJLgAZY2bn6tWrEIlEGDBgAFat\nWgVbW1sUFxfDaDTC2tpamG7mzJnYsWMHMjIykJKS0ibLtre3h62tLU6cOIH8/Hzs3LkTQP3h4HPn\nzpksHwBiY2Ph6+uLrKwsaLVa+Pj4CJ819zxRxhhrDp8DyBgzKzqdDnPnzkVsbCwsLCyg1+sxcOBA\nWFpaIj09HXV1dcK0s2bNwsaNGwEALi4ujWKp1WpkZmairq4OOp0OJ0+ehIeHx3PbEB0djenTpyM0\nNFS4SCQwMBBbtmwRpikqKgIA6PV6DBo0CED9eX+MMdYWuABkjHV5NTU1wm1gxo0bh8DAQCQmJgIA\nYmJikJaWBrlcjtLSUpNRNVtbWzg7OwuHaZ82depUyGQyyOVy+Pn5Yd26dXj77bef254nF4k0jLt5\n82YUFBRAJpPBxcUFycnJAICEhAQsW7YMSqUStbW1L9MNjDEm4NvAMMZYE6qrqyGVSnHhwgXY2Ni0\nWdyCggLExcUhLy+vzWIyxlhL8AggY4w9Q3Z2NpydnfHJJ5+0afG3du1ahISE4Ouvv26zmIwx1lI8\nAsgYY4wxZmZ4BJAxxhhjzMxwAcgYY4wxZma4AGSMMcYYMzNcADLGGGOMmRkuABljjDHGzMx/sfaE\nsPkHEFgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = m.plot_components(forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With `seasonality_mode='multiplicative'`, holiday effects will also be modeled as multiplicative. Any added seasonalities or extra regressors will by default use whatever `seasonality_mode` is set to, but can be overriden by specifying `mode='additive'` or `mode='multiplicative'` as an argument when adding the seasonality or regressor.\n",
    "\n",
    "For example, this block sets the built-in seasonalities to multiplicative, but includes an additive quarterly seasonality and an additive regressor:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%%R\n",
    "m <- prophet(seasonality.mode = 'multiplicative')\n",
    "m <- add_seasonality(m, 'quarterly', period = 91.25, fourier.order = 8, mode = 'additive')\n",
    "m <- add_regressor(m, 'regressor', mode = 'additive')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "output_hidden": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<fbprophet.forecaster.Prophet at 0x7f2f9db52d10>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "m = Prophet(seasonality_mode='multiplicative')\n",
    "m.add_seasonality('quarterly', period=91.25, fourier_order=8, mode='additive')\n",
    "m.add_regressor('regressor', mode='additive')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Additive and multiplicative extra regressors will show up in separate panels on the components plot."
   ]
  }
 ],
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