{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Sebastian Raschka](http://sebastianraschka.com), 2015\n",
    "\n",
    "https://github.com/rasbt/python-machine-learning-book"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10 - Predicting Continuous Target Variables with Regression Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introducing a simple linear regression model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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10hxHsql+a+qGymuOQ455VlfbySscZaYr53u4d0myc0xJSxpU7+Y5iS4WSY5txZW9yF3kqs8Yi9Wx5lDltcINc9z8ln5Tv1HkpCe570lKzzEqWzG1ch5W1LOeyl7wiATOnYD5A/t5CXjeTAIkQAIkQAKBSyACN6fMATIlokkWVm49jAEjuzmHW7TDbYVNSh+H2NogWC7BvCWLUHCqDdrUaq09hVPqurWjF6t4zFWYoJR3drbalm7C4UfUAj6qTdu+j5Fpajs3bT0K5g539ufw51jqioA4c/wgeLalm272cli0Pw8Hj0O5aTi3bZ+6Ws36FJ/kDVbW6Qp1d4X6dyH6xvd2W7KrV3nl6LHAbDUIxXPdriIkDBe7dgk+WVNlFPjg8wKMHCNU7chZv9JVTSqG9K7fKAY8kI7UGVkQ+3bWjD/iGQzGLJdJXX1wwbh61uNqmDsSOD8C567Zeef5EqDF+3wJ8n4SIAESaEYCZbmVFuXkpW7r7jcrZjrUX2JjW3Ggolk65LYyw+rIOuRsc5vJsqv7o63CB9x9THRsKDyfLpY60rXl3GRd1+1V3atvBrwZpU08rTPXOIxRFG9zJFWvd6rLQl/xjWOm61rinM0NGkRpziL3HFX2cabjm+aZrgb1lYUDmwBfrlQ/gUwkQAIkQAIkUCeBiHikzFGmZkmZ/4tPiuTAhvWZC+QAUL7CN8bW8UWyitYh0Ty8b87qvP3fJ1HJUyPlYvUnh9RRCbavcjo/py5ZgZkS31ClNVsOqP/t2Jrl6mPSBAxyO0xLiYanToOlciusVudWpQZXntqp1MW7L3lEP4x3dTR3wQcoUHfYvt6k7N8qJaZixRIlsyVlZGGfeonUXrAdrlFg7OgrnNfq+b9lwBSsSXVBcd2Tunm209+7nnWwGAk0BgEK78agyDpIgARIgASCgsC14+92jTMbyzcpqWjbgYWul/2m/m4Eor1RKM/DJOWfYURH8boPwWt53qNshMVeizkuHZmRtQPltq+xKlsat2LY6F/jN8OdFzNXbYPN/g2090byHdfX6vrhreuV1yy4a/FuI6Ti7t27IZvyoXZeTlyEYlfe7t0OVWYx4r16g4Th6t+Mc1W9ANsLbNi3fa3zvP9N+A81DmfKxCff2FCwXb8cOhUjLvNK2nWfeWfDkYOm1UbVpYP7fzQX4DEJNAsBCu9mwcxGSIAESIAEAoFARNwIk+Bdiy0frDciZigTLSbcHOd9iBUVENt0fdKpOgt1w4iJLsGb+SH++cE6tbCPpNGwxlgQ/+vRzhqyNuCD99e5fL+tGD+kjzPf9X95wRY8Omk4QlSYRNnGTnsBeSVVitR5Et7GFREkClUivdR5oyrQ7aobFDln2rT2A6zf6BxF6q/jEBFjRarr2sfr1DX96WHmaPSpIehLsHHxo2oM/T1+aCl4dw5SzK7jqt7MlAlYe9jVAHck0FwEAtuTxrdHRx9v354f9o4ESIAEPBGo9K+ujIwBk8+3p3uceRWO4kMHHAcOHHIcOlTb5rxeWg/f49LcJTX8lt2RTEyRT5SecJazznNUce82RUGZOmeeIzXZ6iqXXrVc7QMyrrijkCQucniJxVJLLeaIMJqnRDJxAqiMfKKvwTGnmpN68d41jql6jGqfnmMKkSKtmv3GkxY5cjab/L2Tl5xDn2sZCrNJoB4EaPFurk84bIcESIAESCAgCMSNnmjE9DYPJjXlhnpECglDdLdYxMZ2Q7dutW3O65Y6XMWlbUu/wVCCs0oad5PL6q4in4zVpmRXiaQpN1XGw1Z5+e8tNizhc9YcwuLHHsHcN7ZjxVTlopI7A6vzy6vU6+2k4pTLLebYKeVN3tBkwdDkaqOwjoO1mxPAFSPGVqswCSOqOKmX4OV+o5BhnYlF81QwxRqpHCv/NNjpN66uLX36HhXb/B41TlfBzBQs2Hi4xl3MIIGmIkDh3VRkWS8JkAAJkEBgEogZggeraLxkjLvWFVqwOUcc1ge3VnlhMBFD4nU/opE4oUonMXbEZabe6cV2pmL8TfqeCPx62hSjzIZtB0xlvR/2SEhG6syZmDcr4Zz8x3tfe2uVDzLWcTcY4RGl1ejLroPLocbZieQ70L/KWjfRuO/AAZTuno8pY26s0dGiLS9gvCt0oPo2AHfFiY9KBMY9tcHt4jL7xlk1VvmsUREzSKCRCFB4NxJIVkMCJEACJBAsBCwYLTG9Xck6U1nAa/gc66tNuQ9DQpJTKButqIglV5kilvS9ySRZrXOQaIjOyv4YhurEAehusq5HduxpFDhUerKyYB1HMQnjMHf+fDxyV0KDfbyNqrsl4H5TV6eYI5ZYLkOyWOFdKXXikBrfLETHxhqCv6yiume8Daufn+W6cyqWpA7X1QAxw7FwqdvsjY/3lVRe4xEJNCEB049bE7bCqkmABEiABEgggAic/Fmt6+5KUyado+DUFZzHPjrhATgqpqJc+XiERURUEb4RvcepaxXqmr3GNWnS0xo+YV16wbCTd2p7Hr1q6K3RmLbKgXvKlXtLWBgi1FaZlHVaRVGpSC+Hvca1ylKejyyYvKoCdyo41dlI+bi7FqPitvRzqNdza8wlgfoQMD/d9SnPMiRAAiRAAiQQ5ASKkLVA1kGUNBOjrQ0Nbee8s9H+D4tQYrWW2hoqVm1FzsgrR+tv8a6l5QZnR6gPDrUlT8K5trJV85WQrxVOzQ8rVe/lGQk0PgG6mjQ+U9ZIAiRAAiQQwATK8z/EDGfUOyTOu9NPF2Gx41SpmqTsfBQqa7lOtoNfGmEJ+zarxVu3zj0JBD4BCu/An2OOkARIgARIoBEJfPXu/7pr+93t/d3H/nUQjctGStiTBdiytzKCydaVrxjDuD6hp38NR/U2MtzpPNMmPNLv+s4OBw+B2r6cCh4CHCkJkAAJkAAJNIDAZSkvI+f64wi/sCv69a7dPaIBVbZI0StHqVU4Z2UjxXonTmXdiza7VyAlTa3umJiOUX40rv0bV2L9v0/j1O7XDY4fr/o7LDlAu36/wZgEHbGlRRCzURKoQYDCuwYSZpAACZAACZBA7QQiYnpjgCl6SO0lffuKJX4yclcchHX8bExPcq57b02eh8yFD6CFvdYbAK4cu5aPx3RXyEC5MXP2dCM+eeK8Kym8G0CSRZuHAIV383BmKyRAAiRAAiTgcwTixz2mIp88DJtNRWkJi4TF4m8WfIl64oBjsc+hZYdIwCMBCm+PWJhJAiRAAiRAAkFCQEVFsUT7m+AOkrnhMAOOAF+uDLgp5YBIgARIgARIgARIgAR8kQCFty/OCvtEAiRAAiRAAiRAAiQQcAQovANuSjkgEiABEiABEiABEiABXyRA4e2Ls8I+kQAJkAAJkAAJkAAJBBwBCu+Am1IOiARIgARIgARIgARIwBcJUHj74qywTyRAAiRAAiRAAiRAAgFHgMI74KaUAyIBEiABEiABEiABEvBFAhTevjgr7BMJkAAJkAAJkAAJkEDAEaDwDrgp5YBIgARIgARIgARIgAR8kQCFty/OCvtEAiRAAiRAAiRAAiQQcASCeMl4O2wlJSj88QiOHz+JEwhH+3CgQu3bXtgWUR06o3O0BUEMKOAedg6IBEiABEiABEiABFqSQFDpSrutCLk7NmH9e1lYuiATuXWStyJp6miMvTUJiQn9ERsdUecdLEACJEACJEACJEACJEACnggEhfAuyt+C/1v8PGYsyPLEwEteLrIyZEszyiQmz8Ejj0zByPhuXu7hJRIgARIgARIgARIgARKoSSDAhbcdax8dgVFp2VVHbk3E1NGJuGZAf/TucTFiOnVEVKTyM1GpoqwUpceLcOjb/cjd+SnWrs5Atss0np05G7Jh6lKULb4LtH9XxcozEiABEiABEiABEiCB2gkEuPC24evVLtFtTcK8B6djzIgE9OkW7cV3W6zZcYgfMBQjx03GI3MXw1a0Hzs2rcaShTOQKdVtO4oytaPwrv3B4hUSIAESIAESIAESIIGqBAJceEdj9PwsXHrB5bgpobcXsV0VSvUzS0xvDB/3gLHNy9uCTw5dAEv1QjwnARIgARIgARIgARIgAS8EAlx4A72Hj0FvLwAaeqlb/FCMi2/oXSxPAiRAAiRAAr5LYPv27RgwYADCw51ul77bU/aMBPybQMAL77qm53D+Tny+cwcOHD2F8vI2uCllCgbEOLGUq3CDNmUnj1FhBZlIgARIgARIIBAJ7NmzB8OHD0d8fDyWL1+O2NjYQBwmx0QCPkEgeIW3vQAvpPTEjMyq8zDv+juU8I5WmSXIuKEDZqgXK9NzivHAAMljIgESIAESIIHAIvDYY4/h5MmTEKv3VVddhSVLliApKSmwBsnRkICPEAjSlSvL8e7va4pumZMI97dsFlw62mpM0yurd/nIdLEbJEACJEACJNC4BF5//XX89re/NSotUd/0jh07Fn/6059gt9sbtyHWRgIkgKAU3vaCfyIpwzn7iakrcKjCgdxFydUehzAkJE0x8nKz9ymXEyYSIAESIAESCDwC7dq1w7Jly/DSSy8hIsIZr2vevHkYNmwYDh48GHgD5ohIoAUJBKXwLjt2zIncOgeZc8ehWy0ON9GXXQfjy7ZjhShuwUli0yRAAiRAAiTQ1ATuv/9+bNu2DX379jWa+vTTT3HllVdi9erVTd006yeBoCEQlMIbLncS6+hB8LoGpa0Q38mjkPs1jtHkHTQ/FBwoCZAACQQrgf79+yMnJwcTJkwwEBQXF+M3v/kN/vznP9P1JFgfCo67UQkEp/CuOGVAzE3bjAIvOPd/8gGMRSuTrkNfBjbxQoqXSIAESIAEAoWAxWLBm2++iRdeeAFt2rSBw+HA3LlzccMNN+D7778PlGFyHCTQIgSCUnhbel2FRAN3GsY8+BoOG++POE3abcIjjSsF21/DbeMXOCdF/RJyv3PZItPERkmABEiABEigeQn84Q9/gLib9O7tXA1j69atRtSTNWvWNG9H2BoJBBCBoBTeiB6KtHlO6Z27IAXdw0NgnZ5lTOt06y0Y3j8EPQenOK3dKnfJn2/j8vAB9NBzKCRAAiRAAvUjIOEFd+7ciXHjxhk3HD16FKNHj4aEIDxz5kz9KmEpEiABN4HgFN5q+AmPvI0VqU7x7aZhHGQj2/AvceamrtiLyXHOt7yrluMZCZAACZAACQQ+gaioKKxYsQILFixA69atDdeTp556ComJiTh8+HDgA+AISaARCdQSz6MRW/DZqqIxbu5GFN69HavfXYdP83Kw71Cp6m0UunfvhfjrhmDUb/4D8d0oun12CtkxEiABEiCBZiMwY8YMXHfddbjjjjvw7bffYsuWLUbUk8zMTIwYMaLZ+sGGSMCfCQSx8HZOW0xcgrJoq82fZ5F9JwESIAESIIFmIDBw4EDD9eTee+/FO++8g6KiIowcORKzZ8823E9atWrVDL1gEyTgvwSC1tXEf6eMPScBEiABEiCBliNw4YUX4u2338bzzz/vdj154okncOONN+KHH35ouY6xZRLwAwIBb/G22wqQ88W/oX47nON0nAYu7I2EOK8Rv8+xbt5GAiRAAiRAAv5J4KGHHsLQoUMN15MDBw5g06ZNhuvJ0qVLcdNNN/nnoNhrEmhiAgEvvPcum4HBrogl58zSmo7i3Q8g+pwr4I0kQAIkQAIkEHgEBg0ahF27dmHy5MnIyspCYWEhfv3rX+Pxxx/HX/7yF4SG8ov1wJt1juh8CAT8T0RbS5fz4eO8t2MbBPwnlPOnxBpIgARIgASCkED79u2xatUqPPvsswgPD8fZs2cN4X3zzTfjyJEjQUiEQyaB2gkEvJ7sfZeyVo96unYC9bgSFmkBF66sBygWIQESIAESCFoCf/zjHw3XE1luvqCgABs3bjQW3BHXk+HDhwctFw6cBMwEAl54Qy19Ex3NkIDmSecxCZAACZAACTQFgYSEBMP15J577sF7771nWLzF8j1nzhykpqbS9aQpoLNOvyIQ8K4mdc+GHSVFh5Gfl4f8/fuN/f6Cw7AZy8jXfTdLkAAJkAAJkAAJVBKIjo42/L2ffvpphIWFGa4n4u8tvt/iA85EAsFMIIiFtx35axdjbP9wdOjcHf2sVvTr08fY9+nZHVFqGflJTy5DQXkwPx4cOwmQAAmQAAk0nEBISAhmzZqFzZs3o0ePHkYF69evN6KeSPQTJhIIVgJBK7x3Lk5Bv1HTkWVaHr76Q5A5eyJ6Rk5DHsV3dTQ8JwESIAESIIE6CVxzzTWG68no0aONshLnW+J9p6WlGUvP11kBC5BAgBEITuF9eC1Spme6pzJpZjrWbN6Gbds2G5/Os5amI8l9NQPW1HdBzxM3EB6QAAmQAAmQQL0JdOzY0fD3njt3ruF6cubMGTz66KPGipey8iUTCQQTgaAU3rYjBdCG7vTNh7Bq/gMYOTQBCQlDjTeyx9z1AFY5DmFRstX5LOz+AbZgeio4VhIgARIgARJoRALieiIvV3700Ue4+OKLjZrXrVtnuJ5s2bKlEVtiVSTg2wSCUngj3DUpiYuQMrS2FSm7YcqfH3QWzF6Dr6m8fftJZu9IgARIgAR8nsCQIUMM15ORI0cafT18+DASExPxzDPP0PXE52ePHWwMAkEpvMPD2zjZZX+MfV4Edcnhg85yicNxCQN5N8bzxjpIgARIgASCnECnTp3w/vvv48knn0SrVq0grifyIuYtt9yCo0ePBjkdDj/QCQSl8I6IS0J6okxtJgb+cZlnN5KiLbjvxtnG/CeOTUBMoD8JHB8JkAAJkAAJNBMBcT2REIOyyE63bs5vnteuXWssuLN169Zm6gWbIYHmJxDwC+jYbQXI+eLfQOvWlXTD2+KKsUp5Z2cDGRNxXVsbMiYNAioqnGVOH8SLw8YjyzhLRNqkgZX38ogESIAESIAESKBRCAwbNgxffPEFkpOTIT7f33//PW644QYj6sl//ud/QgQ6EwkEEoEQh0qBNKDqY8lbPBbW6U4JXf1avc+VL3jxxmmIrvcN9Sso6OUrttOnT+PEiRMoLS3FqFGjsG/fPncFGRkZxtdv7dq1Q0REBMLDw41fRPxl5EbEAxIgARIgAT8ncPbsWTz11FPGCpfyd1GShCD8+9//DomKwkQCgUIg4F1N2lq6NMJcnULAfzXQCJRYBQmQAAmQAAmcC4HQ0FDMnj0bssjORRddZFSxevVqw/Xk008/PZcqeQ8J+CSBgNeTve9KR/Gop88LfliYBXy38rwQ8mYSIAESIAESqJOAuJmI68nEiRMNEX7w4EGIO4pEPXnwQVeksTprYQES8F0CAS+8gQhER0f47gywZyRAAiRAAiRAAm4CnTt3xgcffIAnnnjCcD+x2+146KGH1GtZ2YbrSXR0Yzt+upvmAQk0OYGAdzVpcoJsgARIgARIgARIoFEJiOuJCO8PP/wQXbo4XUbfe+89w/Vk+/btjdoWKyOB5iQQBBbv2nGWF+3HjpxdOFh8uvZC6sVHdB2IO0bG08+7dkq8QgIkQAIkQAKNTmD48OGG68ldd91lWLwLCgqMFaafffZZzJgxo9HbY4Uk0NQEglZ4F6x9Ej1HOeN01w15HkY54hs9qknd7bIECZAACZAACQQ3ga5duxr+3o8//jjmzp2rIv9WYObMmcby80uWLEH79u2DGxBH71cEgtPVxLYTM7yJbmvVOUxadA1frqyKhGckQAIkQAIk0GwExPVEVroU32/xAZe0atUqw/Vkx44dzdYPNkQC50sgKIW3bd/HrsVxgDlZuShT8bSLcxYZLBPTt8Gx24GyAxtgLG6pcq/t25tuJuf7pPF+EiABEiABEjhPAjfddJPhenL99dcbNR04cADXXXcdXnzxxfOsmbeTQPMQCErhjfA2TrpqYZyZY+JV3BMgLNyZFdXGeRAROxzLN8wxMmc99Z7nZeWdt/B/EiABEiABEiCBZiIgcb43bNiA1NRUY0E5WYTuD3/4A26//XYcP368mXrBZkjg3AgEp/DWrKJcAlyfq31p4Qn3Wcy1o5EkZ9k7cajcnc0DEiABEiABEiCBFiTQqlUrw9977dq1iImJMXryzjvvYMCAAcjJyWnBnrFpEvBOICiFdzhcgjtrNwrtTkDh4c4lcrJnP48tJc68oh3rXS4pHREetK+hen+AeJUESIAESIAEWorAiBEjsGvXLiPSifTh22+/xbXXXouFCxe2VJfYLgl4JRCUwjui32BMNbAswCvrC4yjiLghSDWOsjCsw3BMmzYWnYfNcsJLuhSdKbydLPg/CZAACZAACfgQge7duxuhBmfNmuV2Pfn973+PO+64A6WlpT7UU3aFBICgFN4Ii8O985yvTqaNWg6ngTsW07Kc0lv5liAjI8v9fMz7z9GMauKmwQMSIAESIAES8C0C4nry9NNPY/Xq1ejUqZPRuRUrVhiuJ2IRZyIBXyEQnMJb0U94KAt7lR9Y7jcp7vjcsWPmYu+aRZialIjExEQkJc3E0s0H8MhQp/+Yr0wa+0ECJEACJEACJFCTwKhRowzXkyFDhhgX9+/fj2uuuQaLFy+uWZg5JNACBEIcKrVAu2xSERD0Z86cgbyRfeLECeMrMfmlsW/fPjefjIwM3HLLLWjXrh0iIiIQHh5ufJUWEhLiLsMDEiABEiABEiCBSgJ2u92IevL8888bf2vlyoQJE/Dyyy/DYnG+01VZmkck0HwEgsJzuSRvLbLyihXVDhh910jEKOeSvO1f4iRa14O0WjL+wt5IiOtWj7IsQgIkQAIkQAIk0NIEwsLCIMvK33DDDbj77rtRXFyM5cuXY+fOnRAXlP79+7d0F9l+kBIICuH9XfYzSJmRraY4EdtuG4nofW/BOnh6/afcmo7i3Q+4XVLqfyNLkgAJkAAJkAAJtBSB0aNHGwvuiLX7008/Nb5RHjx4MF544QXcd999LdUtthvEBILSxzusbQO/ZurYhitXBvEPCYdOAiRAAiTgvwR69OiBTZs24aGHHjIGUV5ejqlTp2LixIn4+eef/Xdg7LlfEggKi7d10hJsu+rfQPtfYKAsU9n7LpQWj4IrhHedExcWaWFUkzopsQAJkAAJkAAJ+CYBeT9K/L1lqfnJkyejpKQEy5YtMxbbEdeT+Ph43+w4exVwBIJCeIdFxyJhaGyVybNER1c55wkJkAAJkAAJkEBgExgzZowR9URcT7Zv345//etfSEhIwIsvvoh77703sAfP0fkEgaB0NUHJTjzz6JPGtnY/14L3iSeRnSABEiABEiCBZiAQGxuLLVu2YMaMGUZrZWVlmDJlCiZNmmREGGuGLrCJICYQlMLb9t3HmJU2W20rcVq9+cxEAiRAAiRAAiQQPATE9WTBggX4xz/+gfbt2xsDz8zMxKBBg7Bnz57gAcGRNjuBoBTelZQ7IjqKwruSB49IgARIgARIIHgIjB071ggxKIJb0t69e/GrX/0Kr732mnHO/0igsQkEpfC29LpKBRaUlI1hKS+goL5vWTY2fdZHAiRAAiRAAiTQogR69eqFjz/+GH/4wx+Mfpw8eRIpKSnGS5hyzEQCjUkgOM290UORvjQZ1omZQNYM9AzfgxWb70UPj+vpcAGdxnzgWBcJkAAJkAAJ+BqB1q1bG7G9ZcEdecny+PHj+Pvf/44dO3YYC+5cdtllvtZl9sdPCQSl8C7Pe80put2TloHxwzLcZzUOuIBODSTMIAESIAESIIFAI3DbbbfhyiuvxB133GGEGvzqq68M15OFCxcaK2AG2ng5nuYnEJSuJghvIGguoNNAYCxOAiRAAiRAAv5J4JJLLsHWrVtx//33GwM4ceIE7rnnHiPyiURAqS199tlntV1iPgm4CQSl8I6Im6wW0ClGcT230vencAEd9yPDAxIgARIgARIIbAJt2rTBSy+9hLfeegtRUVHGYF999VXD+p2fn19j8Dt37jQW5/niiy9qXGMGCZgJBKXwFgCygE50PTdLRFB65JifEx6TAAmQAAmQQNARGD9+vOFyctVVVxlj//LLL3H11Vdj6dKlbhalpaWGa4osRT9nzhx3Pg9IwBOBoBXenmAwjwRIgARIgARIgATMBPr06YNPP/0U06dPN7LF9SQ5ORlTp06FiG1ZfGf//v3GtVWrVmH37t3m23lMAlUIBLUpt7xoP3bk7MLBYhW5pLZ0Wl3rOhB3jIxHUMOqjQ/zSYAESIAESCDACYjryf/8z/8Y7iQiuG02G15++WWsXr0ahw8fdo/e4XAYVu+3337bnccDEjATCFotWbD2SfQcNdvMwsvxPIxyxCPaSwleIgESIAESIAESCGwCd955JwYOHAhxQRHLtll065HLapi5ubmwWq06i3sScBMITlcT207M8Ca6q/2sJC26hi9Xuh8ZHpAACZAACZBA8BLo27cvPvjgA1gsFo8QtNXb40VmBj2BoBTetn0fI8s19XOyclGmvhoqzllk5CSmb4NjtwNlBza4VrcEru3bm24mQf+jQgAkQAIkQAIk4CQgoQbF3aS29M477yAvL6+2y8wPYgJBKbwR3sY55YmLMHNMPCLUWZgrtndUG+dBROxwLN8wxyg366n3UPuPVxA/PRw6CZAACZAACQQZgfT0dIiw9pZo9fZGJ7ivBafw1nMe5RLg+lztSwtPuM9irh2NJDnL3olD5e5sHpAACZAACZAACQQhAVlC/pFHHqnXyFeuXAkJP8hEAmYCQSm8w+ES3Fm7UWh34ggPd/pqZc9+HltKnHlFO9a7XFI6IjxoX0M1Py48JgESIAESIIGmIyCW4sbeGrO3Z8+exezZs42XK3/5y18iNNS7jGqKuN5mPtIf2U6U293cGnO8rKvxCQSlnIzoNxhTFcsMLMAr62di7shYRMQNQarKS1NSe1iH4So+ZxQyMlye4EmXonNQkmr8B441+gCB8hLsP/AjKsKj0Kd3tyZ+f6EcRYd/xMkKoG1UF8REi2OXM5UXFeCrb4+gAuG4sGsP9ImNaeK+6Ja5JwES8CUCIiQlVTgqYD/jsoY1cgcjwyKNGkNCQs6r5oSEBMim08mTJw2rtkQ40ZusXvnzzz8bRcTqvWfPHlx++eX6lnPaa0ZysxbeZxW3vQdLsfmrIuTsL8ZL065GRHgrd/3nO1Z3RTxoVALBKSfD4nDvvERkzMpG2qjleNjxiAoVGItpWalIS0pTgLOV6K7kPO8/RzOqSSUOHjU6gXLkb1mHnQdPo2v8tRge363RWzBXaPvqDfQZOENlJWJb6UYkeH4x33zLOR3b8lYiyTpe/TRVpplZBzB/TCzyXnsQ1pQFlRfU0aLcUkyLb6LOVGmJJyRAAr5CQIvI3MJcDHp1EOyOphHew3oMQ3Zy5W+jxhKlbdu2NZaR/9WvfuVGKmM6cOCAW4h/9tln5yy8teDWnGR/5KcybN5ThA15hbCVKauGK32ytwjXXx5jWOHFEi9lG2ucug3uz59AcApvxS3hoSzsvWkfKi7s4Y7PHTtmLvauicX8RcuxrxSIiuqPO/5zJu4aGnP+pFkDCdRGwLYb9w9LcgrUxCUo3Ti5aT/o6ZeLEaVszU2U7Psxu5rolpY25qsfrMSNSDaJ7sSkRGRnZcP1XnMTdYjVkgAJ+BoBLSbFVeKw7XCTiW4Zd8HxApw5c6ZZRKmI3V69ehnb2LFjG4xduEjSfGR/XH1t+Pk3xVi3+wccPFrmsc5Ne37EkF9GIywszBDcFN0eMbV4ZpAKbztKSmzoctkAmL75NiYjbuQ0LFYbEwk0JoHy/NcQ2S8FsM5E7vb5iK/0uFDNmOXvqcZstsXqsu1drxy5nCl50Ta8MS0BJQX7UdalNwrWPYhc45IVS/d+jLviLCiXsFyRTWft9s6/xTCxYRIIagIiKEV0iyC225vG0m0GXFFRYYhSyavLN9t8X3Mca7EtbWnBbT9zFju+OYbP9xVjm9orVF7ToeIy2E6eQtQFIYbwljFSfHtF1iIXg1J42/JeQQfrdAN4cmo6Un6bhGvjlZ93i0wBGw0GAhUVLkGd+53h71zlYbNYsSR3G/YXnUBM70FNa+1udtiJSLnN6Q8ZHdvb+HZp5w/fuXrRC3HdnWI7opaFKBqru175N1YjrIcESKDeBLS4FOEtoltEcVMmae/06dNuQSrnLS1KpQ86aR6yP3zsJD5SftvZeUU4cco7F3m38xftwzCwlwWD+1yIVjhjfJBp1crp6+0L49Rj5N5JICiFd7j7q3YgM22GsYm/a2r67zAu6WYMUC95MQUOAbtdYkGGuS0dNUamfumrF8IRFqHKVLtYXlKEYsOHLhyWDjGwePp05ro/Qt0vqaToMMoqVPnOqryu0Py7s4ZhJwyx8QnqLQMvqdyGImUVlhcRLZZo1Q9dcbV7VLkSW7lqX5VUFuToaEuNMVW7o0GndlsJCm3Orzml/hhVv6dk1x80lDvLBdWZaaO+9Vp09Xw7bIq7+C6Gh0fCEhNd5XNK9fbqNUde+VevkeckQAJNSUALTtmLtVtEd3MJbxGksonobilRah6/HMtW8vNpw7q9bvcRHC6uO35x+4gQXN41DNauIbBEtkKE+j17Vr2YKjx1nU05h6z73Al4j4Nz7vX69J0RcXdi7+YVmDPViNLt6qt60XLGRAzs2Rkh/SfhmWVrlQWy7offpwfKzsGWt9gQb+Hh4Vi80xUn0szFth1j1bXIyHC8kle5TFJJ/lo8ODwEkR06o3v37mrrjKjIEIx9dBkOVxHONrw2znn/4i078dq0/ujQ2VV+xGIU5b1m/IKPGjjd1WoWBndwfg0ov/irb5MWV1vpzF6AZY9OQkhkFDpLvZ2lH+EYPu0F5BVVdqQoby2enDTcKNdBlZE+d+6gfLhDhmPxxv3mEZ/TsW3/Rjw6tj/Cozq4eDjrl5+V17YUuOsUlw4ZUwfj5U3JVuONqjrOgTNc0YJyZ6G7ZjBtJeSnzaa4T+sfgigX986dOyAypD+eXFmNiypbnzkq98p/ODaaGEpvmUiABJqHgBaHzWnxFnEvwlTabO5kHq8cSx9OV5xBjnIhmf9uPv7fy+rvR/YBr6K7bXgI4ru2QvJVYZhoPYOrupxG61BnGEEZj/570txjY3sNIxCUwhvKfhY3dBweW7wKFaWFyNmwFKnJiZXkcjMxa+Io9Okcif5jH8Sy7ZXCorIQj/yBQGTHWFhdHV34xnZUSlVnZkH2m65Y7ZWjKdm5GB36jcKCbFeeNdFdR1baRHQf8QKKKou7j6YPG4iUDKf3spGpFmiyV6iXCRuQbOavFZXofnJgT0xMy6xRQ3bGDFgnvOJcUbV8J+6zjsLsTN1hc/FsTL+xD5bln/uHyJKdryGqz41IyzKNTTehflZShvXEg+86xX3FyYaNV1eDbYdRUbIFSYq7G6FVz1wuZj+5BuaPTfWdowqv/LNRXFr9iXD3iAckQALNQECLUBHETZmkHXFpEcGrRXBTtid163b0XtqWraDwZ7zx0XeYtmgHnnv3X9ixvwTK7u2xO6EhQGx0KEZeGop7rjyLoT1OIyrslCGy5SXK1q1bo02bNsYmBibJo2+3R5Q+kxmkwruSf5glBgOG34W5b2x0ifAVmDcz2V0gN2sBJk7NqvJH332RBz5PIKzbEDzo+mIjd8FS7K2iP23IXqFfAUzFSCOUXQGedVunk7AitxCO3Ruxu6IQWXNcFWXPwKKNh2sZuxXpa3KwN2cDVtxrRbR1KgoLi/HNmnmu8lZk7S1EcWGhylfbITneizmmz3264vy35mK2S+tapy7CN6UVcCghmbthkXKMUunYqSofJBKnzsPmvYdQZnx1WYG9WXN0VXhr3Vfu44YdFGDOwBT3LXNW5KBUWY2MfqxJd+cvSPordiq2lgHO8e5do9tONI33EAqLC7Em1TXYxDnYq9gUHlL5H09F8YZ3XKEHlc97jnDfrdopRk5WOlKnXA1nFF5psv5zZKmV/yEcUm2P7V3dD8Y9JB6QAAk0MYHqgrSJm2s20a3HJXsR2vKhovB4GdbkHMbMV3dh1hu78f7OH1B2uvYPGx3ahmJIz1b43dUh+I++dlxyYQVCQxyGsBahHRkZCQlleMEFFxibHEcofxMR3+JKo8W3WMGZfItALY6ivtXJ5uqNiPBevX+JuLgeVZvsWPWUZ/5EwIIR09XSSFkSnz0Ta3b8DfE6PGTJF3jdZUxOTE8yfKxLtmepRZScad62JRgXH+08CYvBmMcWYs7KLEMMr3wvF6nDay4+k75tPR5IcL4jEDfAeWtETAQs3S901doLF/eMqRZNJwI9olyX3bsCvD5RB5NPxbuLp7l8wC2IHz4NG0tvw35bmDMUZsQArFT+0OKjXpnCEDdmJhYlzcZ05dmRtedb5coxwKuvdOW9lUdFW5ZXRidZkovHxsW7Lqp+jHwAe5fuQT+jn5l4Y91TGKBidMcY4+3sKhdVY7zdY7s7r0Uplxjlv6080Y3znYe/c93TC/36ut6zCItWdT6gel6ZGjZHI139qcnfNbOVFfOIBEig2QmYRWpTN67baop2pG5J5v0p5Uqy+7sSbFHxtT//9ie56LVpcSXpGxOK+M4OXNja6UIiwllEtPZNF2GtN7F2603naeFNwe0VdYteNP+lbtGOtFzjdhTtz8Wm9auxcOFsZLssjOb+JI+9KsAiTZhHF/jH3YYkIclYkxSYlfkpHho6xnjhsGCLtrAC94/ub4D4bvtGN5CI099jf/73zigkKrdt+Eno6Km5u79Wbh4j3THg5SZr6ga36HZX4jowv9un3pAUbyfvyXYM2kadOM/5oaDKDepDYm/Ti4lu0a1eJC1RL2GWGS8mHkOB1rL7jhl9r6vZKm2ok4O7PnFlJWJqkhbdlaXiRiUr63uGYan+7sAxdSHWuFiv8ZZW1iNHva4brv5XnxIMv/CxWLLhSdw+LL7yBVUppNK5zFG9+uOsnv+TAAmQQL0IaJEthbWol/2BH0/gIxVTe/NXR1GuxLe3FKZ8SX7RPhRxylbRM0r9plILCGlfbXEbEcEtexHUIrK1wJZjna/LaUs3rd3eiLf8taAV3rbD+chetwKvzp8NT66r1qSZePDeOzEicSC6uUNTtPyEsQfnQMAyEPdOVXJODMgZK5D73BgMsCg3k1ddbibWebje5XIQ3qZSzc4YZsWM2poTjVkt9YptXy3nPE5VaG/dk8Srq30D46Fae0k+Xnn2vzDdgz+4Ln4uP+yVPAarnwNdk2mvKtUoSo1PFKZrDTyMHpCCFTNfwfgF8uk3Cyk3qk1516cumY/UycPdPCr7BDR0jhrYJRYnARIggRoEtOA2i+1CtZrkZ9+UYN0XR3DUpkM31bjVndHpglD0U1/sXaa2sJBK00CramLbLLT1sQhtT2JbC25phBZvN2qfOziXv8U+N4iGdshesBJRPcfXvM2ajHmzJuL2m4egd4wnlVHzFub4A4EwDE1WPtYZs1RnM7H6ixcw4Mov8boYV1VKnjUGLscGZ4br/8SZczCyA1DzV2gZOvdPdAtB9001C7ovnd+BeYEdDzWV7ERKh4FqZDolInlqX3TCj1iQ4RqkvnTO+2M4Ke8hevmNcf7rYFowbr7yj/9NJv7rqRQ43xXNRVqKerFzwxIUvzG5yjcMMpQGz5HcxEQCJEACDSRgFttyq5yXnbZj17fF6t2ao8qlRLmS1JHatQlBnw6hKgSgA5bwyhe7tSuJFtTVrdtmwa1dTuQevWkLuTRPwV3HJPjAZS9/Rn2gd03UhbJj5hfjXPG7R6v43b09ya8m6gSrbVYC0deMwVTMUk4RwMo1WzD2xDbXi3yJmHhznLsvFad0SMEkpD/7GOJb6idEGUB0T7I//xaPDa/92cx7a45bdKeuyMUc5Yft7LYd/X8MR8p5aW/dix9xUvxsqvuqqL8d+hWIap4jbqYNO1C+6cMn4w21/U2FFpw7QUWXEQN4ZgreUG/JPjAgGj4zRw0bGEuTAAn4GQEttqXb2rotx/t+sGHTl4XKd/soTtu9u5KEtwoxopLEdVKOeMqVxGFyJdFuJCK4tbiuLrrNlm3tSqKFtt5Lnyi4hYJ/pJaSFS1Kx9J3NJYuikLXaxO5YmWLzkQzNh4WhwkqdEjG7GzkpiXBqt+gTLobQ0yatusVA1WnnH7Gr75fgPnqZcFGT3UYsI32wtuii6vh7FlZKHik6gI79qJ8bP42HMMSeqtS+tuZVExzi265WS12c55quG1H3YssvLomHwl3VX5IkRby3nL6d8vx2IResmu0FBM3EvM/2ozdHYYZH5I6tXXGNTnvOaoP/0YbBSsiARLwNwJacGuxLfuSn09h055CrN+tIlGdOF3nkDpbQnFZ5xD8suMZZQhxupKIONYWay22zX7bWnxry7cuW92yrUW23tfZGRbwKQLBGU7Q0ht3TZuM4Vwm3qcexqbuzKCxE2o0kTq9qstIt2vHQgeTXJA0Ri0+kw+b6xvBclsR8rasxKOTpmFlvrYE16jSc4Z7JccsLH5zJ8rLi7Bzex5KKr9trHpfRBzunZfoykvDmGmLkV9kU/eVYPu7z2Bg5364MW2LEU6w0gKchizXYjZ2234snnYTZmVXrbahZ71/PU29mOpMGRP74Zl382BTy3zapR8rH4V1eqbr6hyMS4huaPWm8uVYqRYf6j/pGWzJL3KGSbTbsPGNSmF/1DC5A+c0Rx757wTXzzFNAQ9JIIgJaJGt43xLCMCf1UvqW776EbPfzMXv1QI3b33yvVfR3T4yFAO6h2LygFCM72fHZR1OK9F91nAJEVEt4f4k7J/FYkFUVFSVTfLatWtnXJdQgVJWi3Jt9RYBLmJbb0E8XX499KC0ePv1jLHz50zAEj8SKrCgO1wglKRMGlLNoh0Rj6fWpCJzlJjEc9XiM/0w3UOL8/7f0x5ya8+y9LjCWIRHvCYyUgaqzVl2UW4ZpsV78iMHEu5LU/7ngw03ktyM6eintipJWbPFjtI3caz63+lPMmNYT8yQhWdypaWqyZPGr3ylp2pZ95llAJ5fMRNZ450vos5KsiqHnZpp6d6Z6FYz28iptY0qIRQrcGxfLnJVWKFhmR5asCphr9xMjHQOc+SZvxWbi3erZe9r6TizSYAEApqAtmzLIN3CW1m3vz5UqqzbP+Lj/GOwn3F4ZdDacCUJQT9l3e7RTlxJHG5hrAWztmRXdyORc13GbN0WYS0iW5K2auu9187wol8QCE6Lt19MDTvZ+ARi8dslKryJK1lTp2Og9tLQmWofO3IuDm1bCvNippWXVVi9OUtx+2Ue1FobLz4MMcOx3LSgjbO+qbi2b4Rx2EY34D5QGdEJWFKYgznJegVHXUi9EJq6CHvfTjacTCzxk/HNhnTnojpSxCW6E2emY5FerKa7xcN7kRZ46bG7sd7j5uPA5iXw0A0kJs/B5gNluCvOA0ijBg9t6DFWcYOx4I70LExNrDnWxKnp2PvxY1WEfYPnyCP/wWhfuSqPe7w8IAESCGwCWmTLXi9w8+NPJ7HikwL8PiMHT7y1R4UDPFq76FbCuKv6lXfDJaGYorwTR1xix8UXnDZEsghpsVSL1VoWtzFbty+88ELjXPLkml70RhbE0eEBtQDX4lv2FN2B9TyGqAfP+8e5wBqvT41G0MvXWadPn8aJEydQWlqKUaNGYd++fe5+ZmRk4JZbbjG+gtKrUvEH0Y3nnA7sKta13R6mvsqr+wufclsJim1lUG++IDLCon5pRtQUsGoZYuV9Ua/6oNwnikpk+cwwWKKjUdkFVYfKlnjcnnplV/0oNPoRadznOcKlHSVFhVDfjiLc0gExqq+S7FKx+trSXK+RF6byzJlGae//lZcUoVgaUJI9skO0Wgio9gq8teHtmjC3qbFWqDYsqg2Llzakt/WaIz2sWvnrAtyTAAk0NQH52yebLOFern4/yd+/9/e9j99t+V2TNd09sjs2JW0yhK8IXhHIZRUO7FRRSdZ98SO+KzxRZ9uywM3lXUJwRRe1rkOrmgvcSJ21Wbflmt7Emi0CuzZxTaFd51T4dYHa/2r69bDYeRKonUBYAwRnhCVaxa/2YN02V69+odahDStLh1nUSjR0qqUAAEAASURBVIqerMPyQaCyWPWjsPr0Q0nr6JhuNULuhXmo2FNe9TY9nUdEx6BbHTj0fd7a8HZNmMtW31SvOdKV1cpfF+CeBEggYAhUMysa1u2zDnz1fSk+/fonbNtXgjNqSXdvqU1YCHpFSwhAICaypiuJFtOe3EjMriRSzvySJF1JvFEP7GtBL7wP5+/E5zt34MDRU+qTdxvclDIFA2KcWMpLlOVNiZmYaE9CKbAfDI6OBEiABEiABPySgFlwu47bnO2MD7+y4fN/F+Hncu8hAJVzBy66EGqBGxWVpIOqwOF0IxFLtHYFMVu2zaJbBLacSzmz2BahLffrTbjKMVPwEQhe4W0vwAsp6kW0zKqTPu/6O5TwFmtbCTJu6IAZ6h219JxiI35w1ZI8IwESIAESIAES8AkCnsQ22qNb6FD0Cb8N7R298dHX3t1JotQCN/26hOKKzg5EhLpcSZQID1UiWgtpLbh1xBF9ri3fspeyZuu2WWwLKwpun3hiWqwTQSq8y/Hu72uKbpmFCPfbZhZcOlq96KVeVHtl9S4lvIe32CSxYRIgARIgARIIZAKhIecQ68EstgWOOg+Vb6lDrkKvVqPQvVUiQkNaecUWofy2L1GrSfZXq0l2aCOxn5zWcBHHZjFttmrrY/N1s9jW1m1pWItsvffaGV4MCgJBKbztBf9EkixhqFJi6gpkzhmHY69MMsUklithSEiaomLPzVAhzvbB9thw9zIlcpWJBBpOQMWqfjAB4xcMRk7pYgyoxYPJlr8RS979HFFxo5A8Rq9C2fDWGvuO8vxlSOg3EYOX5GLx5PjGrp71kQAJBCEBEaSyDew0EDN+OQOlZaWoqKjAWcdZI+JIDSRabP9UDMeWdcCwXwNR7dVb5O1xxh6HkIrLlQD38sKMqlAi9XVr57Ru9+1wBiEO7bvtfOmxunVbC+3q1m1PYluPR/pNsV1j9pihCASl8C47dsw5+So2cObccUaYMldOlYci+rLrjMVDso6plarUlVp0UpV7eEICtRNQsaq/k/javVzrmHkoaduJ+/vd6FoCfhYKNxfikaGmpTU93NJcWRUVNhXZXPW+tNbI3M3VFbZTC4HmCFJFMVELfGY3mIAWqWIhbqtW653UaxJ+/vlnI9KJiG+J+qWfab2XRuTY0dGB8p7TcfDn1thXGglbRbhyCvGeLOFncWnHs7isiwMXKPVjWKYdTr9tOdbCura9diMxC249BvPPhfnYe494NRgJBKXw1sGLraMHVYkNXOMBsBXiO8nM/RrH1EKFsVTeNRAxo2EEdAhrt0dTldttWHb/QEN0T52Tin2z0zBr2H24vngVzmtRyCpt8CQQCWhRsuPwDvz35/9tWAsbe5zywtm9/e9FYk/niqoUF41NODjrk+dIW5glnrWEGJQkItcsvCVPnvMzKgjJ97YQ7CsOw79trZVZWa7UnsJDzuCiiDL0tpxE53YSWVWtCBnSWonucENoSztmoW323aYrSe1ceeXcCQSn8HYtH52bthkFc0cithZ++z/5wLDwIek69KXoroUSsxuLQHneMkzMBKwzV+Clx8ahcFAkuo+ajdQ3dmLjAwMaqxnWE2AEDOufKy7yO/nvIPPLTISFNP6v9jPK9zVCheK8/hfXu79Cp/gOsIepGYcjz0510a2Fthbd+lye8WMngT0/nsVXRWqlX70Mby2iO0Q5e3dsXY5ubUrRJfw4Witx7VwHI9JYqEaO9aI1IrTNYltEuBbc8oFAW7d1f/VeUMkxEwk0lEDj/3ZuaA9aoLyl11XGKn/ZavHwMQ9eijXPTla9UCZtldqEO5eyK9j+Gm5zLZOtIu5rI7lRhv+RQGMTsJfbUHbxHSgrm6L+QDh/LLuNfEz5Oj6s8spQYitHtGtBnMZp2w5biXrmI9WiQDWCkLuuqVjanhfqaZwesJbzJ6BFt8QndsYodr4YZndoZXL+begalAQx2hCLpBYjco3iQxPivr4E5JmRZ1f24uIhQlfEr+TJuXYz+anMjvzDp/FZQTmKT3qPty1tW8LP4BcXnERsZKnyo3X+DLRq1dYQ2SK2ZTVJ2WQBHWnPKcYrLd/SD7PYNlxRXB8QzM+5+bi+Y2Y5EtAEzuE1Yn2rH++jhyJtnvPr0twFKeiu3mq2Ts8yBjTdeguG9w9Bz8EpTmu3yl3y59vg/VUNP2bBrvsAgRIsTIhChw4dMOejwir9CbN/hUlRHdAh6hZsd342rHL9XE9sOxciSrUXFTkbh6tVkrd4nHHtur9tr3bFf06P6fc4/KfL59xTESsiukWs6K/pz7myOm6U+rUoknaZSOBcCWjxqsW3Wwi3icR36qWqlV+cxPyNx7F270mvojuilUPF2q7AmF4/4z9iSxDfsRwXXtDGWKGyffv2xu9V+d0qW7RaLVj2snS7Xr69Xbt2hhAXQa6t4NrqLcK7uvjW/T7XcfM+EghKi7dMe8Ijb2PFT7djfFp2tacgG9nyBpkrpa7Yi8lxlN2aB/dNQSAaCROT1LsEWUhbtA6pIye7X+Qt+mQ1jI+E1kT0aER3J/O3Pu/lpWJavK78MFYtdH4IHXd1j6YYbJPXefLkSSQkJODKK6/ESy+9hC5d1PrOAZhE+OpNvpJvDuGt2zELEkFLMRKAD1gTDcnTBzZ5nr4/dgqb9xZh679KUF7hfYGbsNAQdLc40KeDHT0uKBfnb+MZDAmJdFusxXotAlqLadnrY+1aYrZuyzNs3vhcN9EDwGqDM6qJc96jMW7uRhTevR2r312HT/NysO9QqboUhe7deyH+uiEY9Zv/QHw3im7+nDQ9gYG3JwOzlODNeh07iiZjuBHIpBybls82Gk++f6z3F4Eb2sXoQbh/KpCtwmouXLVDCe/hRg3l+z/CbOODZzLGXtutobX6RPm//vWv2L9/v7F99NFHSE9Px8SJE32ib03RCcPFxCW8RRg3ZdLCW/vANmVbrDuwCGjBrT8syv7H42X47OtifJh7BEdLT9c54I5t1UqSKipJv05nleOTjq7kXCVSRLQW2yK4RVxrgS3neqvuTkKxXSd2FmhkAkFr8dYcY+ISlEVbbTqDexJoAQJhvW9EuvJ+mpGdjeUf5mP4XXHqtYPdyFTCWL1uiYm/6eexV7a8xYiyTvd4TWcmq7jbb9SIux2BG+9NBzJUnPrZy5GfOhxx6rfBV6vfMm6zpk5EvJ9+5rz//vuxa9curF+/HuJykpycjOXLl2PRokXo1s0/P0zouay+1yJGxLe4gTS18NbtyF63TWt39VnhuSYgz4gk87789Bns+rYYm5R1e/d3P+mite7bRYSgd3vlDnoR0K5VpTiXqCRabGvBXZvQ1mJbLOtyj3YfkUb186v3tXaEF0igkQgEvfD2xNFWUmJEOLeHWxBd48UzT3cwjwTOl0A0Rt8/UwnvBcj433V4Wglv+9Ysp5tJ0v0Y0s3zj2p4uDNAodWqVln1kHLVyqttW3sOXhg9cDRUi1At4t2cpxGXUIaVM5xuJlPGJXiozT+yevbsiQ8//BAZGRl4+OGHUVpaivfeew9btmzB/PnzMXnyZP8YSAN6KcJGi+EG3NbgouZ2tJhqcCW8IaAJmJ8LOdbn+36wYdOXhdiiBPdpu/cXJcNbhSA2OhRxnYBfWE4bdTgt007hLEJai21t3dYWbdlroa2FuRbazjqcLiUyCRTbAf0o+uzgPP8199nuNl7H8te+hhU7DqLf6OkYN0AvUFKE16bdhJSMSifvmYu24dlpCcHsk9N40FmTVwK9b7xNRdtZgOzsV7D98CSc/keaUX7mvSPdPt/VK4iIm6z+KE2unl2/87DeuHNeEhYoF5dZWbvw/3UtVnF+JKUiaUB0/erw4VJTp07FLbfcgmnTpuH999/HTz/9hJSUFLz55puGKP/FL37hw72vf9e0uDH2smZ2EyZzW03YDKv2QwJaYJufkZKfT2HTnkKsz1WL0P1caa2ubXidLaG4rLNaUVK5k6jYJkaxELWUvLZUa7Fdl2VbW7WrC26pkGK7NvrMby4CwSm8bdtx/6gUyGuVc26o/Jp++zMTqohumYQF0wcjsu8hzB0eWF9RN9cDxnYaQMDtd52LZ574k3IDkXuTcOfQ2AZU0rCibt/ytBcw+5i84wAkKjHedC02rH/nW/riiy/G6tWr8fe//x0PPvggStS3WR988AGuuOIKPPfcc7jvvvsC5g+xIXjONo/wPt954f2BQcAstmVE8q1LmXIl2fntMazb9SP2Hfm5zoFGRYSiT0cgXr0D3S7M7rRuq1VxzGJbBLdZbOtjyTdbt0Vwi7A2C27dAQpuTYL7liYQlOEEbfu+MEQ31JLxU/Ry3EqMp80SKa5SYirWbM7CTNe392kvrHNF+XZe5v8k0DQExO96nlF1tnKTMJ7GqckY2ITG57De18MZWTMLCzKcz//vbu/fNMNrwVrvuecefPXVVxg7dqzRC5vNZljCb7zxRnz77bct2DM2TQL+RcBs0ZZjEdtn1Lb34E/IWLcP0xd9jpfW7PcqusWVpG+nUIy5rBUmWe0Y3K3CEN0ijsVVROJrS6xtCfVnUetoSOi/qKgo92YOAagXwzG7mJiFt9RJ0e1fz1ig9zYohbdeDUeWjO/smuH9773q9KdVL7JlLZmDkUPHIG35EufV7w5SeAf6T4KPjC964BioYCPuNCf5+iZ2c4rB7RLeRCfrPNzc20/fqtRjqGXftWtX/OMf/8CyZcvQqZNyHlUpW73MKv7x//3fapl1JR6YSIAEPBMwC25DbKsIOj/+dBIrPinA/Ys/xxNv7cFHe46iQtZ095SUAO6qopbecEkofnc1MOISOy6+4LQhirVFW2JpX3DBBYbYNgttEd+yyTUR5Fpsi+XbbPEWgW0W3Z66wTwSaGkCwSm8XVGIjCXjZQZsO/HMRON7fWDqY7gl1umBE9FzIFSQNxVfOQcHG3HxEqmSiQQ8EgiLw72uxZ3Uw4jxg/T7Bx5LN0pm7xuTjZVcpbLkWWPQ9C02SrfPuZLf/va3hvV7/PjxRh0nTpzAAw88gGHDhuHrr78+53p5IwkEGgEttkVoy7FEzbGdPK1ekjyCvyzLxYxXduGdbYdw/KQO7VeTQNvWIRh0cShSBoTg9n5ncVnHCoQ6zhgCWYSziGiz2DZbt0Vsi3Vbrks52fRLlFpwm4U2Lds1+TPH9wgEpY93ZNdYZddWelq9Stan/1dKdGQ5v9ZXeYum/dptYSzZsQaZMmeJo3CpXl9EzplIoMkI2FHy0zGjdmvqBMQ1g/HZXnYCrhYx8ea4JhuZL1UcExODt956y7CAS/jBI0eOYOvWrejfvz+eeuopzJw50wg75kt9Zl9IoDkIiMDWSQvvM+rdgb3fHzeikmxTcbftdXw71CYsBL1UVBJrVyAmssIUlSTEsFCLaJZNRLT219aC2uwyImVEWGtxLXtJWmDrve4v9yTgDwSCUniHdRuJF9ULZMNkwRK1WqDTs1VN18ws3DNAK+wivPH4LOcc9r+o1qgS/jDJ7KMfEbDlYFGaM6rO/b8d1Cwdz1m5SH0IVSnpQQwJdHN3NaK33norrr/+esyYMQOZmZkoLy/HH//4R0OUv/rqq7j88sur3cFTEghMAlpwa7Et+yM/lWHzniJkqzCA3qzaQkR5UuOiC4F+MSG4tMNZhDicbiQijuWlR9nM4tosurUIlzJmsa0Ft9ShRbbeB+YscFTBQCAohbdM7NBHViLXmon/++BTHDvZFpfffCdSVOxit4HRdhAbDUVuxYppI9xW8GB4KDjGpiNwyggcUupec616S/nvveh61yAVI+P1h8DqpRrx3J6PF12xu2dOH+H9A2bFKaNhZ+yTRuxDC1fVoUMHvPHGG7jzzjuNFy4PHTqEzz77DAMGDMDjjz+ORx55xBADLdxNNk8CjU7Ak9i2lVVgxzfH8OHuQhQUnaizzXZtQnB5l1Bc0dmBiFBTVBKX2Nai2iy0tQCXa3oT0W22bpvFtnSCgrvOqWABPyEQtMJbVsiJHznZ2DzOlWUAVpm+cvNYhpkk0CACkRh0fzpSE6PQ1fOaNojqMQpz5sSj34jkZgrpF4lR8+apVSovQfJN3kNmRva4DulzUhF1lYr9FYBp9OjR2LNnDx566CGItfv06dP485//jJUrV2LJkiWGG0oADptDCjICWmzLsLV1265eiPyy4Cds+aoI2/YV42wdf/sizpTjkm4XGCEAO0WIf/cZg6KIYy2kteA2u5LolyF1GbPY1tZtqUiLbL03Kud/JBAgBIJYeAfIDHIYfkQgDAPGPYABXnrcbehdeGyolwKNfSksFncpi259UljMADzwmLfe16cW3y4jL3a98sorhvVbYnwXFBQYy88PGjQIjz76qLGJeGAiAX8joAW3FtuyP3zsJD5SYltWlLSV270OSdyrux/6EnFfrkafaDtCr0l1+W47V5PUbiLaml3dwu1NbIvA1iJb7712hhdJwI8JBLXwLj+ch3UffYLdXxaguAxQkYxqpLKyY4jsNQGzHxhe6YZSoxQzSIAEAonAzTffjC+//NJwM1m0aBEqKirwxBNP4O233zas31dfreKhMZGAjxPwJLbFV/uzr5UrSe6P+F4J77rShZHKlaSzWlGykwNtXnsCOPYjMGio4bMtVmqz0PZ0LIJbRLnZuq2Ftllkm4/r6hOvk4A/Ewha4V2w9kn0HDW7fnNnvRwPU3jXjxVLkUCAEJAwZgsXLsSECRMwZcoU7N+/3xDjgwcPxsMPP2z4f0t4MyYS8CUCZrEt/ZLzCvtZ5BaUGJbtnO9KVMx67z2ODA9Rq0mGKlcSB6LbiN+23bBIh6goJCIaWp2xI1zF09ZC2+xOoi3bWnBrv226knhnzqvBQyA4hXfRRqRUE92JSUnormKG1khqhTsM7AkPxvAaRZlBAiQQeAQk6klubq7hZiIL7Ugs46effhqrVq0yfMGvueaawBt0gI5Ii9KmHF5LWG7N45JjvR08ehKb9hSqrQgnTtXhSqLcPXq0D0G/ziHoGaUikrj9vJ2uJIagljjayuUkHGfRWv291MJb9lpwm63bZsu2CG9JLcGnKeebdZNAQwkEpfC2HfzSHUJw6qLNeHrKUEQHJYmGPi4sTwLBSUBWy1uwYAHuuOMO3HvvvfjXv/6F/Px8XHfddUbM7yeffNJYUS+Q6Zx11GEm9eHBa2G6/KvlWPWvVU3S01ahrfDXYX9V/s99jPqbQ2DqcWmhLfvin09j+9dHsT63ED+UKB/KOlKHtiEoP7sbh0o/QNEPJ5Dzg8MIDRgSqvyuZVPLu8sWGqbiaf+yCKEXA6HR+xDy8cMIbRXqvK7Lal/tENWo2tSdaNe6HeaPmG/s6+gKL5NAUBAITrkZ3sY5uYnpeG7aUO8h1ILiMeAgSYAE6kPg2muvxRdffGG4mTz//POG9ftvf/sbsrKyjJcyxTreEklbFi+LvgxdIrooVwLnSoNamHnq08vrbfjVETu+jm6F8aOjPBUx8rSAFIvlFR2ucLocKIHlL0mLUmHyyhevYEPBBiiP40btvrRxRv0bcvEQXHLVJW6rrmbXmI3pOTXvT1WcQa5yIdm8twiff/uT+Jd4bVJWk+zbSc1nzFlYwk4jacWfcLLipCG0IYZpmV5BJJucq72Ib3RW0UvkPLQEKFjtLCdlzZs61UnZ3g0u9111H66+6GojXKD0uym46Da5JwFfJxCcwlvPSvYOHCiHCqWmM7gnARIgAe8ExK97ngrBKEvOp6SkGH7f4v+dmJgIWQVT3FDEP7y5khYxsh918Shca7kWJ06cMBYDstvtbhFevT/XrX8cMSe+RLuoHsjo+7fqlw1xJGJbXAjatGljjCkqKsotmnS7NW70oQwRebKJ6BYXIUP0OUJgV/+aIkkbsom7hU6NwUn6rZMek+wP/HgCH+35EZu/OopyJb69pVbq+YhVq0nGdQZ+0a5CaeUKg8tZtSqlI1QxClPfaLhEtllwu48Nwa1akH2I6k+IYiiCW5LeSzf1sXHB+Z9+DuVMu5yYLvOQBIKKQFAKb0v8SKSqNePTcjORnJqE7fPHMWJJUD32HCwJnD8BiWySk5MDcTMRIS6RT1566SX885//xMsvvwyJjNLUSYs6ETMi9kQky4tuInREmMm5tn5X74sWQFKHp5dEJV/XK8Jb+/Hq6BTV6/PVc+EgYljmR/ZNmaQNYS9JOOn5Odc2pe+SZK+3wuNl2LGvREUlOYLC485FrbzV3+mCULWaJBCnrNutQyTmNoxnQuZWNqMNiZApnkRm4a2t3YbQdl3Tlm11WkVgexDbUkQnu3oZU7jI86iZ6L0uwz0JBAuBoBTeUEuTTJuXirRRachdMB63YAnSJiklrn5p1kyngQt7IyHO++IiNe9jDgmQQKATEJErwvv22283fL937dplxP4eMWIEJA74s88+C4kN3pRJCyhtmRbxJ0nORWhqwVa9D63CnFbZUCUQLR5eLBdhJJsISBHdkSreqhbguk1fFk963NraLQsiyXFTJhGXwl+4uEWtarAhnAwhrO4x78tPn8Gub4uxSbmS7P5OuZLUkdopVxKJSmLt6oAlvNK6r+fN/KHAaEe8LwWNWWxrwa3Ftt6b265DcOuip06dMrjo9hvCQ9fBPQkECoGgFN7lea+pUIJp7jnMXpCCwQvcpzUPrOko3v0AomteYQ4JkAAJ4MorrzSWmRc3ExHiIvLE6v3+++8jIyMDt9xyS6NT0uJF9locizAWISVCWQSgtnZrEWfuRFgr56//Vsrq6enDgdQrm4glLerFMi51m4Wb7oe5bl85lnFXEd5N/IKoWHaFu/DyxLw2LuaycqzP9/1gM0IAfpxfhFMV3j80hKkXHHt2EOu2ik5iUQYjHQLQ9XxIn/Qm86c/GBgfFNSy74bwFiFdXXBLp80C23xc24Cq5Usb2uItbevx+fKzU20IPCWBRiMQlMJbxUJqWOrYxohd2rCbWJoESCCYCIio+ctf/oJbb73VsH5/9tlnOHToEGQp+rvvvhvz589Hhw4dGh2JiBcRM3pFTTkWAS7Wbi28PTUq/ZUk5du3b++piCG8df0iuPUm90i+PwgnEXnCQoTfWbU0elMmacfMXdr2xkgLUNnr7YeSk9iulm3fsPtHHFMRSupKndupxW26hOCXHc+qv1PObzukTfkmQ+ZJ5lnmTcfalnMR3VLGEN1qb/xNFC8cEdVaWOu9dMB8LOcNTMJeuOgxNvB2FieBgCIQlMI7Im4ySouT6v16TVikhZFPAuqx52BIoOkIXH755fjkk08gUU8ef/xx4yXH119/HevWrTMW5BFh3ljJEFhKREkSQSXnsjeLHC3uqrfpdjVR93tyNZHyUp8k7SIgQk5vkufrSY9d9saHEBVloylTddHtqS1zn+S69EtcSXK+PYbNe44i79/HPd1WJS8qQlxJQnBFZ6cridQpoftkTrTYri64tfCW6zKv0q6Ulz4bVm5PL0aep+DWna4PF12WexIIdAJBKbxlUi3RdBwJ9Ieb4yOBliIg4uaRRx7B2LFjDev31q1bceTIEdx2222488478cILLyAmRr3x1khJBJSIKdmkbRFVkrTI89SMFs6yF//t2pJZfOs29L36Wm33+kK+MNBbc/THU1vmedDXz6p+fX2oVC1u8yO25hejog5rfLgK59cz2rnATQ8VlUQnmQMR2XrT30pooa3P5bo8G3ruxAotm3Eun6H0lwGNJLZ1/2Svx2zmYL7OYxIIJgJBK7wrJ7kch/cfwP6Cw8AF6uvWEz+hdUwsLu3bG9EMM1iJiUckQAINJnDppZdi8+bNkBUvH330UZw8eRJvvvkmNmzYgBdffNFYkKfBlVa7QYSXCBrZa1Gl99WKVjkNDXFarOU+EWd1JSknqfq+rvt85XpziD4tMPWYzef6uKi0XFm2C7ExrxAlJyoFtL7n/2fvXACjqq71/83kDSSQQAICGpCHASVWrBeqggYfBamEW0FbiS0UC1yvFawPir3QNrZS9LaA13IBq3Br0FqoJbT+sa0SAUUoghoUohAg8hCSkJAEQh6T5L/WmVmTk8m88p5k1taTfR777Md3hpnfrFl7bde8X4wFSX14q4O1TlxJ7BFJGKRdLdsC2pwLjHPOrwne+PkZ1n96zfD9RuJH2wbA7ToWPVYFVAH6dTKYRcjbuR6zxs9yrmLpqsWcZVvx6ycn6qRKV2H0WBVQBfxWgGFn/vz5uPvuuzF79my8++67KCgowH333WdA+KpVq9CvXz+/63NX0AzDDHhy7K6s85wJtPwBdb7Pr3qdDQTnjgC22ZWjnF1JjpyjEID5yD1zwacwvciVZBjB9tXkStI91BF/nF1JCJTNsC2QbbZuu8I2l+fnJtAtjfM52eSc5qqAKtD2CgQteJ9+62mKbLLEq8JrF07C2l2rUbR5rsK3V6X0oiqgCvhS4Morr8S2bduwevVqLFy4EGVlZfjLX/5igPjKlSvxwAMP+KrCr+v+w7HJgu2wZvvVgBZqrIC4jlPO4M3QbSPXkZzT57GTFrfZ/UURbA73n8Y328+Eh1pwJS1wc1V8HQb2sMdhFzA2wzTDthm0Bb65jEA5Q7aAtnypMr8upF5PfdHzqoAq0HYKBP7smLYYuy0Hz5mgOy19HXZnH8KRI0dw/PgR7HtnA+ZQWG8jZc5D+qbctuiF1qkKqAJBpgADz3/8x38Yq11yrG9OxcXFRtQTjn5y8uTJIFOkkw+XgdsE3Qzc+aWVyNx3Fo+uz8bSN3LwXk6hZ+im18OAnlbcNtSK2aOBCYOqDOjm1wmDNAN2t27djFVDeQIsrxzKoR8552PeunfvbpThUI8SZ10g3NXabYbvTq68dl8V6LQKBKXFu+zQdkjY7mXvnMKTExoujpOYOARrPrkDV09NwPxMYMWqt5E+bYhGNum0L3PtuCoQWApcccUV+Pvf/46XX34ZP/7xj1FSUmLE/L7mmmuMaCjskqIpQBUQ0ObuOfbD0RMDQm5G3vGxWJbzlc+O96C42Vf3teJqsm5HhTis2y1wJRHrtqslW0Hb56PQAqpAuysQnBZvkTllNf7DBbrlEhCPOU+vdhyWoKL+gu6pAqqAKtAqCvzgBz/AwYMH8a1vfcuojwH8wQcfNJabz8vLa5U2tJJWUEAs2wLdlFPgPvS13ICxoUtwd+RmfD1sIYWOjPHYWCS5kozsG4LvJIfg+9fW4Pq+VQZ0MxyzuwhbrMW6zRZt88aW7R49ejSwbou7CVu3za4lAt8K3R4fhV5QBTpUgaC0eDsVj+F1cj2nS+X59otZu3C0jFA82nNZvaIKqAKqQHMU6N+/P/76178iIyPDmIRZVFSEt99+G2z9XrZsmeGaohDVHGVb4R4Bba7KsR+DK5AYMhGDQ+9GhKWn10bI1Rr9Y+yrSQ6LrcWmja/iZ9u3G6D8u9/9zhl1RPy0Xf23GarFbUTg2p11W18fXh+DXlQFAkqB4ARvieCUuRkfF8/EOA8hvUvPXrI/rJRJGKnQHVAvXO2MKtDVFEhLSzMs3Q899BDeeOMNXLhwAf/5n/+JP/3pT3jppZcwZMgQj0M+e/Ys+vTpUx8ezmNJveBTATewHWmJwwDreAwJS0VPi+fnIHVHR9RhJC3dPpKikkSFVDujwXz11VeGfz/DM/tmu4K2ALjANvtoC3C7s2QrcIvimqsCnUeBoHQ1iR72NaQazygT4299Cjvzil2eWAVy3noeg1KX2s/7sIy73KyHqoAqoAo0S4G+ffviz3/+swHbCQkJRh3byUKanJyMFStWOBfGca185syZWLt2retpPfZXAYZt2fge2rfSOur9rGMxNuQX+FbknzE6/MdeobuqtgTh1iOYeEUp7hl6Acl9KhBprTGgm4GaXUkYqCW5TpQUVxJezIgnSaoriSiluSrQtRQISvBG9BgsWW1Hb2QvxfhBcbBMmIq5c+dSSK+puNYShRGT5juf9Oqn79GJlU41dEcVUAXaWoHp06fjs88+w3e/+12jKV5459FHH8XNN9+MnJycBs2vX78eb731FhYvXmxESGlwUQ88KyCgzTknx3FPXIlrQx7C3eGZGBf+LC4PS4GlLsRexuVvbV0Nzl7ah3/l/wpbcv8dobbt6BlaYcA2QzYDNPtts3Wb/bQZpiUxeAtscxkGbjNsi7Wbrdpm9xK5X3NVQBXonArUf/3unP1vdq9Hz30FmXkPIHUphS3hlJWJtVn2XfPfBRv2Ye4o9TMxa6L7qoAq0PYKsOvIq6++aiy0wyEI2U3hgw8+wHXXXYef//znePzxx5Gfn28AOffm3LlzxnmOCa7JiwIC2lzEsR9l6UNRSW7B0JB/R7T1Ci832y9dsJ3A8dK/49j5LaioPu8sb7E2nCjJQM0wLWH+zODN1wSuzWBtdh8x7zsb0R1VQBXo1AoELXiDbNhTntmM/O/txBtbtuK9XbuRfewcPczeGDx4GK6fcAsmp96N0YkK3Z36Fa6dVwU6uQKpqakYP368Adj/93//R5EzKvCTn/wEmzZtMiym58/Xgx+vgsm/3I0cObKTj7p1uy+rSQpocx5iCUc/y79hUOgkXGa92emH7anlyppinCrfiSPFm1Fy6Uh9MV6HiH87pi0sMsywbrMlmy3cElubgZst4GZXEz4nwM2VCWRLzuc0qQKqQNdTIIjB2/4w45PGYS5vXe/Z6ohUAVWgiygQGxsLdinhZeYZrE+cOIEPP/yw0ehsNhsWLFiAf/zjH42uBdsJgW3JeXEb3u9VNwxXhNxJwH0XwizdvcpSW2dDfsU+sm6/hRPn36WyNfbyDNsm4KbIgkTyQERUhPFlSNxIxFebgZut27xJ4n2BbMnlmuaqgCrQdRUIevAGbCguyMfZM2TtjukGlJYjLKY3Egb0R7Sq03Vf+ToyVaATKjBp0iQjKsbDDz+MV155xe0I/vnPf2LLli2YMmWK2+td/STDNSfOGbZrampQWFZJy7ZfQGL5Elwe2cOnBBerT+B02Ts4VfZPVNsoliylXqH06ydbtgm4LSH0h/YtFJub3UssYeRiEhqGq/tdbVi62eItkyQFuhmu2cItiY87GrilD2N6j8Gn5z81NOP+iYbS1wY5aWok6j8NoMElOZBxcR4dHo3+3ft3+Filb5qrAh2tQBCjpQ0HtqzC4tT5cHh5N3oWaekb8Msn7kdiZKNLekIVUAVUgQ5RgK2p7G7iLT322GOYOHFig8l83sp39msCiua8osqGDw8XYgct2X7gS4JnA8g9Q3dYXRVZw4vQu/Y0wmpKgW6DaPuhM5wfQ7NYrTlKCQO1RCvhyZP8XPiXCZkkKX7dYtkWGGWtBXg7UnfpA4/rv7/+3ygrKwNP4q2qqjK+rPCXluYkrpfHzNqwFuxy0zOyp3PMZh2aU7/eowp0dgWCFrz3PD8NY3k9eC8pY8kMZCzZi+xLyzFK4duLUnpJFVAF2ksBDje4ceNGr80dOXIEy5cvx8KFC72W68wXBbJ5DLwv25EzF7Djs7PYeagQldXe4dFKzt69rGXogwJE1/CCaXWGNdsSGmkAt4A252K5ZqCU87zPvtoSuYRzcS+RMgyaYukOFOjkfki/uJ8yDv51gPvKuVnfpr5ORC/WRvTiegNl/E0dj5ZXBVpTgaAEb9vptzDHBN2pi1Zi3qQxiA2vom/7QHHuB3h51kKHJXwF0tK/iX3PTERQitWarzatSxVQBVqkAK9qyYvq+JN+9atf4fvf/z769evnT/FOU0aAUECb8zPnL5EryTlsy8433Ep8DSYmtAqXhZ9HgvUcLDVVhkuKNaKbAYYCzAKkDNwC3ZILWEoZnkTJ1l2ZTCnlBHB99acjrnPfzP0X6OZ5Ai0BbzPQ85cQ1kQmlwp8K4B3xBPXNgNFgaBkyUtn8pDteAIrd+TjkXHxDZ/HuHGYMjMNax4YgHkZQPbuPLCXX2zDUnqkCqgCqkC7KvD0008bIQT9aZRdBxYtWoR169b5Uzygy5hhmzvKbhAVVTXYd/QcWbfZlaTEZ/+jKYT25dFVSIwqJVeSiw64DCfYjjCsvALLbKHlfd5kX0CbwZH3BSB5X+CVIZPhW+6RMoEImQLHPEaGYtaTz/EYGLyb62YiD4HHzhvXzXXyJvqKHpLLPZqrAsGiQFCCNy1IZk8pqzHHFbqdT74/Zv90HYH3LIrxvRXHyuYiViMLOtXRHVVAFWh/Bdh95Ne//jW+/PJLY8vLy3ObV1dXG53j8IO8BP0NN9zQ/p1tYYsC21yNWLd5P+dkCbZ/VoBdn59Dlc0RZYQvuEmhNJdxcJwVw3vXol9EOViXmhorgaU9mokAtcAzQ7OAs8A3X2OIlJybMUM17wuky/1y3U2XOvyUAK+MiaGYz/EYBLrNeje1w1wXb1K/aML1B7IuTR2nllcFmqtAUIJ3WFiEXa+s9/AJAfUYD0BdfPqEvVzyjWQpaa7Eep8qoAqoAq2nAIPSsGHDjM1drQxNZ86ccQJ5cXGxu2IBe06AW+CP84LSCrJs5yPrQAGKLpI/oI/UL8aCpD4WAu4ahNCkSXtddiu2QKHAMueu+3JOQFFygUpuns9xkvr4mOFcAN1c1igYYH+4f9xX6T8DMlu6xdotz6Gp3eb6OEm9okln0aWp49XyqkBTFQhK8I5MmoxlKcDCrAyMfXwSStfc33hJ+IJt+OFtSww90x66HS7OKE3VWcurAqqAKtAuCjDwXHbZZcY2ZsyYdmmzpY0I5EnO8Hex0oZ9R87hbYLtI1/ZQ/p5a6dnFIO2BSMT6tAj1D45kLWwWO0Wa4FpzhkCxe9YLNx8jq8JQAs4GnU4YJLb52NzkuuSC6SbywTavoxB+ipjFv0lb0m/RQ/OpR1ptyX16r2qQGdXICjBG4TRs5auxMKx84G1M3AzeXC/MPcGhDt+nkXVCbwwfrozzODNw4D9e/bA/uMtUIVu+NqYUY1hvbO/GrT/qoAqoAq0kwJmuON93mpq63CIXEnYuv0BTZa01TjWdPfQp3CKoz04lqzbZBkZ2MNm1CHAZwZt3ncFbTNwi1VWAJFzTgKKknvoRqNyvsp7qqc9z0sfOWfteczmZ9IafTG3wfXJcWvUrXWoAp1VgaAE74qc9Uhg6Hak7LXzMH6tHDXO5912vcvJFOwu3ebRRcWlsB6qAqqAKqAKOBQQuONcNo5KsuNgAd79tADnfbmSECgOYFcSgu3hcRT+r67aADqGOgFo8SuWnKFbQFss3mLdZuAU4OY6BA4lb8qDa849Tam/tcu69tf1uLXaa6t6W6t/Wo8q0J4KBCV4t6fA2pYqoAqoAsGugBm2WQt2JSm7ZMPeI4V4O/ssjueX+5QorpsFw/pYMTK+Ft1CHNZtWkbS6vCrZpAW0OZcYNsM3ALbDOjuYJs7EYyQGIxj9vmC0wKqQBspEJTgHZk0E6VFqbRYfHNTKK3G1dx79T5VQBVQBbq+AgLbPFKxbNcQcH+aR64kB/Ox53AxuZZ4X+Amgj6hhsSFkHW7Dpd1Z9i2Oa3bDNGyuYK2ALhcF9AW2OackwCn5MZJ/aMKqAKqQBsqEJTgzXpG09K+nlIZRwEgZWxh0YiNDFqJPMmj51WBLqWAGRBbe2DBCHSip8A256fPldtdScidpLRcZsu4V5ucPTCglwUj4snCHUvxpWl2DddhsdijhghMC1y7QrdcN8O2ADc/D3kmkrvvhZ5VBVQBVaBtFAhaqsx5az027j2BEZPnYdpoiVlSgPVzb8estbK8DrBg9W48N3eMrlrZNq8/rVUV6DAFGOYoeBqOnz9ugB13hM+1NAnQcT6o1yCQB7ET9lpad6DeL7pxLlsJAfa/aILkOwcotGHhJZ9d71l2Bld/thUj4myITJvtLC8AzUAtsG12I5FzfJ3LSnl3sM2VyvNxNqA7qoAqoAq0owLBCd5le/DQpFnIIqHTb53nlHvPs/c1gG6+sGLeWEQNO4VnJvR3ltMdVUAV6LwKmCExfWc60t9Lb7PB/Ozmn2HJOHtYUm6kK0GfWUceGx9X19Qi+3gxRSUpwIe5xaj18UUmKsyCIb2tGNW3DnEPzkCdjSZK3j7F0ElAWsBacoFuvi6bGbYFuM16dyXdeVyaVAFVoPMqEJTgXXb4YwO6kZyO2bJyJcH40oWM4pRSFmHrL8bi7w+nYgUZv5c+/w8smjBTwwfa1dG/qkCnV0AWCjlXfo6iYlA4NUvLLd2uonC9heWFxtLkDIO8dfYksM3j4H3ZThSSKwmFANxOriQXKrzPnrHSLwEDyZVkZIIFg3va6PcA++qTDMchVG8o6RTarZtH67YZthm4+T6Bbd7njZPkxoH+UQVUAVUgQBQISvCWJeOTJ9+ABMeDyP3ry4643cnIXJeOiYmhuPX1dVgxYhZw7ARF+ia/8AB5aNoNVUAVaJ4CAooM3rw8dk1NjQFohJDNq9DLXQx+XD+3w7AoICi5l1sD7pIAt+jHefGFKuz+opBcSc7idFGFzz5zVJIRCRSVpE8dwq31UUnEPSTUSsuW03eT8HBatj0mxm1UEikrX2RYS9mkA51RX+m75qqAKtD1FQhO8HbM7cleugN5z0zEkLL9eHaGI5D3nMW4i6CbU+Sg65FGeUb2Ppwg8u6v5G3oon9Ugc6sAEM3A3E1LZjFeVsmaUfgkMGxsyQzbHOf+bjKVoNPjhZje04B9h85T19XvH9h6UauJBwC8GqycMRG8CRJe1QSBmeBaHEhCQuxIJweh3FM4M05f2GRcgLbYt3mPglkS87nNKkCqoAqEMgKBCV4R/VLRDI9lWwsxdBrDyKFbN0OJxOsnvtN50TK4r1bkcFPL2UShit0B/LrWPumCvhUwGytZSCuqqpqF/DmdgQeBWYDFRSlfyymWa/jZy9i+2dnsTOnEOWV3r+shJAV+gpaTXIEuZIkxpDPtksIQNaCgZrBWvy1DdgODUEYGUVCw8jVpHt3p2YC2vLlRbST3OeD1wKqgCqgCgSQAkEJ3qH9J+KFZakYvzCT6LseurEgE98fLYRdgFd+ttD+qK69TN1MAuhFq11RBVqiAAMlg7e4mrSkLl/3mtsxQ62v+9r7uvTNDNsFpRUUlaTIcCU5c963K0mf7lYKAQja6hBmqXcl8XuBG7J4h5CrCYO5lVaadAVuV024rwrfrqrosSqgCgS6AkEJ3vxQxj25CdnJGXjt7x/gXHk3XH3HdzBr2hhEyhMrO4Fthhk8GRvn3um0gstlzVUBVaDzKWAGS4ZidjtpyyRuLeZ2AwUW2U2EpyGa+1ZZXYP9uUXYeagAHx0v4Yte5ekRYcFQciUZRa4kMWSuFhgWt5AQsmIXVxUjxBJCft3hRh5mIRcSC0UkqaOtNhRWG7md1BFsdwfIzRuWkIuwXDxttCtaueZ80UpxvQdED2hQzjjQP6qAKqAKBLACQQvevELOqIkzjc3t84kejc0+PnTc3qcnVQFVIKAVENBkKOb9tkxcv7TT1m35Mw5PffjidClFJTmL9w6dQwXBt7fEkyATY+3W7SvIlYRiADonOLILCUO3+Gev3LcS6z9bT2ZsqpE3DuzCORM/73Mu292OfWwCVtHG532kFXeswI++/iNnKQF05wndUQVUAVUgwBQIYvAOsCeh3VEFVIF2U4AB1BOEtnYn2rMtT32XsUpfOK8hwI6gG04VXcKS1w54utV5PqEHRSTpa8FVcXVksbZbt9nq7OpKwvAtW5mlDNZIK2qt9MuCgLbkAtaSc0vmfWfLnnfyL+QbbkNiYfdcUq+oAqqAKhAYCgQ9eJ/O2Y8P9+/F8cJKVFRE4PZZszE63i5LBS0dX0aW8fhY8fsOjIemvVAFVIHWUUCAtHVqa1xLW9ffuMX6M9K25Gx5Z2v2vtxz2HmwEFO/uoBrqHhNjWerP7uSDKcFbq6mBW5iwurjczPoyiRJ80RJ2WfLswHD4QTmtPEKoQZ4c/cYrl0B2/WYy/mRamprnBNkxdotuR+3axFVQBVQBdpdgeAFb1senp81CPMzGmq+7JZ7Cbxj6WQx1t4ah/m0gM7KfUV4ZDSf06QKqAKqQOAqIJDNPeR9Oc45WUJRSQqw6/NCCglo92svGrcA3SsvoDLMObPFGBjH0r6ydwiSaKLk5T3qQwAy0LrCtmtkEgZvLsftMug7XUu4Zle4dj02Wm/aH54gy2EhuU0GfYXupumnpVUBVaD9FQhS8K7Alv9sDN0sf2SYPIRoDJ9MQQezs/HSmx8ReE+QC5qrAqqAKhBQCghgC2xz/lVRuQHaWZ8WoIgWu3FNJ+MGNzjVL8aCpD4UBpAWuLHU2ctbyJWEYVuA2xW0jTCApnjbDL+cGIg5jKLT0i1G9VaAbXOnpR3unxm8FcDNKum+KqAKBJICQQnetry/IdWxXk7Koo3ISJ+Gcy89gOR5ZvN3KMakzqb14ucjO+swyhZP0JCCgfTK1b6oAkGugBm2WQq2MHOM7Q+PFGIHuZIcPFnqU6FeUVYM7Q1cQ1FJuoc2IwSgw5/bcCtxQDf3QyLGSB8bWbt99sy/AuZwjWxt16QKqAKqQKArEJTvVJfOnbM/l+R0ZDwzDf3pyHGmwfOKHXkzUulM5rl8FFGunt4N5NEDVUAVaGcFnCBL7fI+b7W0HTxRQlFJ8mkJ9yJU19hdSTx1LZziZQ+OI+s2uZIM7OGAbXLVYCsxw6tsvqzbYgkXSzPfz9AtfeT92jrqC1u5xeLtqVPNPM/gzZtowblau5sppt6mCqgC7aJAUII3HO4kyZNvMKDbo9Jl+TjGF7O/wDlaMj5RydujVHpBFVAF2k4BgVkzYJ45f4ks2wV499N8nL9IYf28JYLiAexKQrA9vDfBaa29vNmVhEGbodu8miTv8zm+Ju4mYt02AzfDLveNzzEIczJDuLeuteQatyntiEYtqU/vVQVUAVWgrRUITvCurjR0zV66A3nPTESiB5Vzd/2dlpWnlHozhil0e1BJT6sCqkBbKCAgKTkD5oUKG/51uBBvZ+fjeP5Fn83G0WqSQ8m6fXVCHbqFOKKSkPXZNQSg+GqboVss35wzUJv9qBm0zZZl2Ze+ci77PjvZwgLt2VYLu9ry220VKCgmKxBF24qmIAANp8W2vHqtQRVQBdpegaAE7+jB1yGFtM3CUkx5dDi2PjeTjvjNDIgIizLyvD3r8e3pK4x9REeLkdx+rH9VAVVAFWgDBcywKkBZQ8D9aR65khzMJ+guho2OvaUIelcfEsdRSepwWffGriRiufbmSsKwLaAtlm3OOQlkS+6tL+bxeCvX3GuE9829tRPeV4Bn70zAwix711NXZ2Pz3FGdcBzaZVUguBUISvBG7DgsXZaCsfQOlr1iFgbQJmle8l14PTkLWYap23523U+/rZYFEUhzVUAVaHUFBFAFtjk/fa7ccCXZTu4kJeXeXUnI/owBvSgiSTwt4R5bQ1H8xJXEfQhAV+gW67YZtgW4GbAFsiVvdQG0Qp8K5G1Z7oRuLnwsrwD8G0Zwfoj7lEsLqAIBq0DQ/psd8+SfsfH8PZi+1GE+cD6ihtC9aOMhzEzSH/Sc8uiOKqAKtIoC7mC7lAB7zxfn8A75bX9Z4NuVpGeUBSMTQjAyvhaR1voFbgSgGahdIVvcSuSalJVcQNsM2eb9Vhm8VtI0BWw5eCZ1aYN7sncfxiVotK0GouiBKtAJFAha8AZiMe2Zbcj/3h68ueUf+ODAPhw+xeG3YjBgwGCMuvkmTLr7WxjVX6G7E7yOtYuqQKdQwGzR5g7zsY2ikHxyvJiikhTgw9xiI0qJt8FEhpFVm1aT5BCAvSPrF7gRP2wGaIFrycV3WyzbnAtoi2W7Oa4k3vqp11pPgf0v/Qr2CLjJSE7O5uUlyFdyP45XAKMcH1Ec05y/ekXSs3Wb6DpNEUBkpIfrbm/Sk6qAKtDaCgTnv8Di/Xj2uTcNLZNnP4GZT47BzNZWVutTBVQBVYAUMMM27/MkSU4nCsmVhEIAcmSSMiYiL8lK7h4DyZVkZIIFg3rWIMSHK4mAtoC3ALcZtgW4xcLNzatl28tD6KhLxTvxuGONieT05Xjj1g8xdPxC6s1hnOepSQTeZQfWICZ5ntFDtystl+3B1JixyKQSczYcwpr7k4yy+kcVUAXaX4GgBO+yY+9h4dIlpHYyMucuan/VtUVVQBXocAUYMkOtofbVFdugN7xqY1iIPXYpwzaH2Su9ZMOew0V497NCnCQfbl8prhv5bZMrSVJ8DSIt9QvcMEDzJkAtoC05A7dck7IM2u5gm/ugwO3rSXTUdRveeu5hCgTAKRnL5k1A4rnDjs5k4aMTZRgXH43o3ol0lSLf0jb/lZ14aPSUBr7feVl/NKCbbxw9agBnmlQBVaCDFAhK8K7XujdiY4JcgnoxdE8VCBoFxMo7a/gsDAwfiEsVl1BdXe09JvRbb9BKW2fJv6MvMPHbjbSSOhluGXqjIqNwe+Lt5EpSh4+PFmHP8TJk510gCzitKEPQ7yl1I1eSYX2sZN2uQ1wEw7bNAGOuVyBaLNmcm2FbgFvKCWwLcHObAtmSe+qHnu94BWy5f8KkpYzTQEr6C5hIcdgROtK+sBvtfpZzikiarNf9b8XCNGBGBp1c8TKy06dgtDMEbhmyXnZE6MIiTBzlvECFNakCqkB7KxCU1FkfTjAL42c9j+ObHkFiUCrR3i83bU8V6HgFzIDcN6ovpgyYgosXL6KioqLxUufm7n75DnCcwHtwL4LvbzqvsPsIJ65XQDciIgKllVbs+rgSq08fQBUFJA0JDYfFGkLlnLc6d6x0LjHWStZtCxJjqmFxwDbXyRAv1m13oC2wLeW4rIC2jJVzTpI7G9adAFagDBmPzXD0LxVLF4yz70f1cq6ifPhkieN6JO6YlQ5k8C+5mdj0/mmMnshrMlMq2Is/sI8JpdSV0zyuW2EvoX9VAVWgrRUITtykcIIrN6Qhmc0DmfMxKOwzbNzxA1we7k7uKqDnEIxJcryJuSui51QBVaBTKCAgymDKgMrWYoZkdgXhc+wOwvsC0w0GFUJxrJlfOe/WrUEZKX+hsgaff3kBH395FucrLQiL6IaQ8CiEkhXbuNfOv85q+9ACNyP7WnFVXA3CKSoJ18OhAUNcYJvh2hW61ZXEKWOX3Cne87+Y5QDmtNVPY4wYqiMH4eZUYmy6lrXrY1qBYowB4vE3TkUaloA+1bB0w7tYMvF+Iwxu7va/OlxVgLRUdkjRpAqoAh2pQFCCd8WB9Xbodiq/FtPH2+eMO0+Zd5JXouiTRygOiiZVQBXo7AowfDN0M8gydDNsC4QzdPPmNoWF0JKPNFkyzIo6WlRLUpWNYPtkKT4+fh5ffEUhAKl+K/l2h1L9nFvZyk1QbydvYnaC8OF9QzCK3AZiwjkqCcE23+P4MiBA7QraAt+ulm2+jzexZrvm0k/NO5MCp/HCHJ5AyWkOfjp7lH3X+BuG3oMdHt2ZecinebnR/EkeOQqz0lPI6E0e4Rm/x67f3o8J8WV4O8PhZpKyErfpT7smHXVXFegYBYISvJu8DGXviAYTVTrmUWmrqoAq0BIFBEgFcNnaLdDL+xyOjY9lk7b42EgE3hYDvGlCZs+eyKM423uPnMO+3POorK4xwDcsqodR1IDtEHIRIfcSayhZq2l/UO8ww5XkihgqS84n3B/eBKQFrCUX322+zuf4y4FsAtpSh4xNcum75p1TgdxNz2GJ3bUbCzY+iaQGn9SRuCppMA2MCxxE4SVaqdTxPfDG6d8DGLzJxv369jxM+GYuVjms5nMevFONR53z5aC97mIKNPjn3MXG5nE4kUkzUVqUasQ89VjIdCE0imaNm451VxVQBTqvAgynDLCceJ/BlqHb7GJihm/ZtzrAu7iqBs+9mYfCMnJD4xQahTB6J3V6kRhATRZosnQnxITRJMlQXEUTJSOs9tUkQ+i8laKpcB8EqhmsBbQFvPnHJrITAABAAElEQVQab2bYdgVubj7QYdv5xYU7q8m3AhUH8PPpMhkyHQumDWl0T79hN9I5JupM+qWFnE0cEyYjk+5EOhnDGdrXZr5Frid5Bp7T1Ezcd4eGEGwkpJ5QBTpAgaAEb9Y5OlYdRzrg9aZNqgIdqoBAKgMsJ4Fwhl4zeIu7Cedszf7oWBEsCaOB6jicjb6M/Lcpckl4pMtY7OjdI4KikvSm1SQJtntGsO+43RouoC1AbYZtbl8g3AzbfA/30Qzc0qiMRY4DMQ+xhKCG/murFGrpeh9he9YuNvy0WbNlOx52Oxkyuj+tnuRI+QUczFtMQ/0x/VHy9J6VQe4m8zCeMiOlPYgbOSKKpg5ToPjAFryyNQcRSZMwe8qoJv2KXnw6F2dLqxHTdyj6xwbya96G/Vsy8HZOKZImPYApo5Sz3L3gAvkJuuuvnlMFVAFVoEUKCLAyzPImwC2WbbHQfn6qhBa4KcTuw4UE3+T3nUQRJhxGQzu213cjLMSCwXE0SbIPMKAHRSWhGN52WLZbrMWKLbk767ZYtjkX0Oack/RZ8vqWA3OP+8nbnKQ5GNptqBExxvhVoY4mrtba3Xma2nOjTgr/YiV/H9aRwzXeNfguo53OoovPMRdsw6L5Dt8QslJ/44pS5OYWudxGH9sl9aeyPj2DxRPqJ/8nTZ5BMb0zHJZue7lFs241JlrW36V77atAAV5MS8VC9g5akGSAt//tl+GVSUMxn+5NXrYbn9CCf4GcTr45Cwt5ytzCEpyqW4z6V2Yg97p9+9bFwduGnLf+hE+7j8a3xiW1whuPDXn730bW0Vh8Z9qYVqivfR+2tqYKqAJ2BRjUBLAF2vj4zPlL+CCnkBa4KcC5C1VOueyTI52Hzp1+MbSaZHyIEZXE4rDsWsjKKxAtVmyexCnQLblYvqUsQ7YAtwGZ1EdO0j9nowG+I33nsST2SMQ9A+8xwjVWVlZ6jxrjY1xcL9fJekVGRqJHjx6IJjdAs2Y+qgj4yzlvrnNGIGE/7fGDBvnuc4XdhclZMP4mkNEbbPS2pzRMu1HxR9ToiLxs/2t26KavRBsX3NUkazf3N2Yw/SHwHhxpX5CrI8bgX5uhuOvJjeTnNJ2KL8Gm/Q/jkdFq9XbVrouDdxn+sXCG8U2RfdzSVz+EqRNvwYjE+Ca88G0oyDuED97ajJdXLUEmf2OlKCepCt6uryU9VgUCXgGBbcnZ2n2JfLb3klV7x8FCHKToJJIsPJPSTYqJtGI4Wbavpl/7e4TyhEyycBtQ2NhvmyHbbN0W2OZcIFKAUoBVmuTjzpZkDDw2HiOPXcI1MjCbJ7A2dWxSN9fLdfImLjpdBb7DetALq4npvluudLkjGpOdMb3p42oBWcBdvaJc7tDDtlTAhqxX5tsbSHmoy0eWCR1yC1am0AqqNMfX3Sqqbal0Z6m7i4N3NK6ZRgFPs/mnuywsmUeb8WSSkTZnMm74xmgMH3I5BvTqSWF57d8kq8vLUXK+ACdyP8X+D/bizbUNf7Lj25PpZ70oox79owqoAoGugEA295P3eaul7eAJdiXJx+4vilBd4yGEoGNw7EpyZZyFlm4HBvZwxNsmMGYYNMO0K2ibrdti2eZcQJFzTgLZkjua7ZQZj4HHyGNnOJZwjbwyKO+bn0dTByh1M3Cz1Zvr53a4va6g3ZBpy0mf5U2VpVH58gsU6sSRZj8wpgmGJrlL81ZToOIQNjrmyqY9eEsQRJaJR8r36CeXLPrJZcVGHFo6BaP0i1+Dl1MXB+9QTFi8GaWzD+DPL72AWUvY8YhTNjLW8mY/8vdv6pxleOzRWRjHn76aVAFVIKAVEMAT2OacXUl2HCxA1oF8lJS7/ETvOhoCyAHkSpJERshhvetgJcs2J7aEC0Qz9IllVyBbrLAChHydAVs2BkTZ7PV1Psu2IYTLHwFfHqeAd1RUlDFu1sTr4kQudXk65Da4ftGc62WdXbX1dH9wnC9A5oqljqEuwOTkYP6p3wZbBQU6D42k10zjp2+j1Wo9XqNIR3QnIt3d2Lgqj2cK9m51TpZNHTPIfTlbGQryy1BNsY6jaI2A2OimkqoNxQX5uGS8RYUhOiHeHtvdTWuuYy4rLkAZ3RgWFo34eJmk6+ZGPmWrQEExGSqoHW/lh429jQoTeNO2ee9vMWqcMhPLJ8n9b6lytYvk0f1HYebiNairLsWRfe9gdfoCpKb4sYJXcgrSFqRj4zv7kE8zijeveVKhu4u8JnQYXVMBgWyZMMmwV1ZehXeyv8J/vfoJfrzuY2zec8ordPeKsuLfLg/BrNEWTL3KhqTeNnBsDoZJsbR2794d0fQByVtPiukdExNjbHzM13hjiyxvAuQMi1wHQ6KAt8BqV3oaPCYBb7ZId6NVPlkX1oi1aunG9bB/N9cr+nJ7XVHL5rwuKnL+afzMz/emLPsOhrgBzubU2xnvObBmGsLoy19Y2FzkMEWbUs6rcx3XpmI/B4YxpbIDa4x/t1Fh07DH5ZqpmF+7Jz7aZS+XnI4bh7gCdTHeenYuLGExSBgwAAMGJCAuJgrXTn0aB4r9qb4M29Y8hWstYYhL4PvtdcTQIl0PPLUeefS9wpyMcbEes15FXt5OPDrBgpi4BOO+hIQYWCY8ip2nXW4yKqB+Pv8o9TMKCY52jPLXPoBX95w2N2HsRyalYJEDsTZt3ed36OZGFXXRE8H1TzI0GkNGTzC2uYv5y1sx8s+W4tKlSygpKTG+bXbr2Q3douhDNC4O8U3+1tlFXyU6LFUggBUQyzZ3UcC7hiJnfJp3nqzb+fjX4WLYPK1G6RhXBFmzh/SNJFeSOlzWvaErCUMdQzNvDNFiZRWg5lyuC1gLXHPOSaBQckezXS6T8fG4WRPJ5YsQD9j8vJoqgNTPOddt3vicXG9qvV2p/MEtv3cO58F7rnXuB+NOzGU8K5HTWmzP/m8kjRaLbhl2b5WfvDPx9scFGG2yyh7cutV+G4VpbNl0xjJkb2NXV0rJQxBn33P+3fPsPZi0kBc8sqdkgtVsmkeWnbkEW794GKPGePu1ohjrH4gzTaKVWux5xtJZyFj6BY5UP9P4y1fGDAxig7RrylqB8QMKsa/0FTilQjHWTI3DPMcw+JYUMlxmZXFHMzBjbAZO7sjHkyb9QCNNZOm5yO4vUIaJQeBi4yqm5+OgsHh7Gn5oZCz6JyZiSFISRo8ZgzFjRmMU7Q9J7K/Q7Uk0Pa8KBIgCAtmcM9ixdftkwQW8tuM4/nPth/j1Xw5h1+fnPEI3YRoGnvoEd769DD84swm3JlYZ0M3wxtAo1lojeobJYmu2bpstrwLkfC8DuFhhGQ6DCQplrDxu1kC+rLA+vLGuzd2kDrPWwaavr39+I2e9iH279yH70Cnc28jC6uvurnU98Rt3U1gFe3r97YP1gys7jHdM4Llh64H6aziN7RsclEkhAEcKq5tK+L1bcRwfOKpKvdklspotF390QHfynA3Ir67DJ5/Uoej4PqxctAjJ/bzPJMvbkl4P3anp2HeqFNX0Xlian42VadLDpXjsJfPY5Lw9T56zGofyyfhYdASr54gXQAbSX62/J++t55zQnZKeafRz27ZPUJS9ETSDzkgLH15NqplTNL52o1yNMF/QfVIgqMFbXwGqgCrQuRQQ2GbQFtguuViJf3z0FZ7a8Ake/8Mn2PLhaa+uJHHdrPhGYihmXVWG1D/9CMMOvAlrbZUTEtl9gV1FGKoFsiXnc2bYZoA0Q6BYvAU+OQ/GJOMXi7R8EWnN3Azcwaqzu9dWZPwQMiSxEam/TqqMvw73Ocg7a8N2JxyWHX7P6XfNGmYvfZvW+HSk0x9iA1lqOS2YfkPLwgaTM/RZe1VApew48kuFOObYHXz1EMQ7/A9iE0fjkWeewcREV7cU8/2n8fpiWd00Ddl/XIzR/aON5x0dPwqPrDuEOY7imfNeQ56Lmw1fSknfin1r5tKvfNGIjB2CuSszaKVTe8rcuous1JyKkfmsY75Aykr8efGU+n6OmoYX30m335C9CR+6NNKtp+MbS9ZWfGGvzF5W/yp462tAFVAFAlsBgW3JGbirbTXYl3sOK/76OR5aux/rso7heH65x4FEks/jNf1CMO2aEHz3GhuuS6hElKXaeAPkn5IjQ8Ma+CIzaIvvNvsnM2wzjLNfsStsC1wKbErusTNBckF0kFx0ao1c6pQ8SCTVYTZZgVjcwhE2OGVvwIen7QR68L1t9nPOv0vxfq7dtzlvV5Zj8aEU3P2NRGeJZu3Qm4tHg3n0cExwfCnInD8WU59ajwOn/STUsjPY5fhykJI+p3HUkNAk/GCZWJwP4kx9kBvHMFLx309MbPjFLHIEpi9wWL0z9+M4y1F2DNuyHLfEROBsbg4OHDhg33JycbRIKs7G8XOe+t5Sd51mKR/QNwWXj3dAPwrtnCqgCogCDNmSBLg5P1FYboQA3HGo0JiJL2Xc5eTpgIE9rbTAjQWDe9UQZEtUEvvkv9AIWqadDNLE5AiLJDcImvjny2/bnZWV4U+TKqAKBKYCQ1MYQNmvJBtv7jqFKdNisGez3f9j0bqNuLR8OlYQxG7deRz3DxmK9zMdluTU+3BDKwbjIEcQF4FiMWvVRrw0YroB+pnkk81bctoiLP/5IkwY4hHZ6Q2rHuivvdbT4kiljvb6whEtuWH73J0GRvVQDBw8mE4y0XdDmIMOnb3InIcRJj/vhpUBrus41V/v4779+gJBt6fgHXSPXAesCgSuAgLcZtg+f7EKH3xeiKxPC3DynGertowqrpsFIxJCMKJ3LSJCHBMlyZ9b3BxkImQ4gXkYbeHEzaEcfYQs2zJRUsqKdVYsq2bINu9L25qrAqpAYCkQmngj0smQu4R4cm3mXqz85uXYbFhxkzF+8jcR/kkygTeFF968G6vIOL6VGZ1S2r23eLZW24s06W+Mm2ma0UnTsK/oEDJeWO4Md5ydsRS30bZ6XxHm+rHqY2GRh/fEynOO/pUb4f8aQrb7rldXCKwXopyN2fxzoCmlL1tGLjOuPjNcIAGThjsR3XQH7x5DSSPIdykSZIcK3kH2wHW4qkCgKWCGbe4bH1fbavHx0SJszynAR0eLyZ/be6+jyGw9vA9ZtxNoPn1ENdVhMyY0CjgzbJut2YZfdqjVAG+2eIew9ZtcSRi45R6xbnPLAtmSe++NXlUFVIHAUaA/7pyRSuBN5tqMf+JvqQNpOT1Ok5FM/s1h35xMC70QlWe+g7//v1KH73cypt80tNEQbAUH8Nv/mo+Fa4chu3QNRnliTbmTgNPpgOFhjmFobJIR7njmE7/Etv97BrfNs1vc5z3+Cu7d9oj7aCCmek95cLGrihDrNccHd5NcoJps1sg94PArSR6Ofjw26rz0P3X1ISyem+SmIl+n1NXEVSGy9wRfsuVtwQT6eXjCA0/h1bf2o6DM7vcVfEroiFWBjlHAbNHmfZksefSrMqx/Jxf/sWYffvu3L7DviGfothIwD46zYlJSCGZeV4ubBlYhNrzKgGSGbPbF5gVc3E2SNPy2CbS7Ux1RvNHvqlzebPEW8JZcobtjXivaqirQUgVGTprqqGItpk93rF+96Hawk0b89bc7Ip9kYHrqfHu55BnGBOz6diuwf9PTCEtIJuhmOD0LD3bm+lt4L7ofrne4TR/Ly/cezzoyHhPmLseO9BR7HcO8rJAd1Q19HS1lLXy5UYxyVOzH2oUOv5CUSWhsjM7E8rU7HTU4suK9+L3D2u8MfWjqf+a8P9RPQG14p5ujMhx4z1FZys0Y7OsLipsauvKpoATvS+e+Mr7xZtHPOTMmXY+EmDB6wT+FTdsIwnmVK02qgCrQJgqYgVuikhSWVuBve0/hsfUf46lXs/H3T87iYqVbG43Rpz7drRh/ZShmXw/cNdRGb+pV5L9d5wwByLDNEyFl0RaJSMK5TJTkSZJcLoKgO5xqDXWEvhOLN0O2bG0ihFaqCqgC7aZA9Iixzigf0ui02x3WW4p8MtXBunItdfbtaODeXbYX1xOwp6Svw2rHBMRGBmO5uUEeB2raSPZ41vUXK3JepfeYa/Hsqzudxr+yvG1Yu8RhdT58GjJ1sf4uxx5Nnpy7WiZPrsWIac8aEzNttNpmcd4ePH3X9Q7LPbDoybvdWM2TkTF/PCY8RQvpFFegrGA/nr5nvOOXALpnxq0Oz5T+mP4o+d8YaSmmzF2DnAKHDZxXscw7gE20sM4DT29xWsbtZW0ocxRLHpvYqi47js506iwowbtxXB8ga+1STL+NIDwqDFPnPo0tOw+AXo+aVAFVoIUKCGwzaIt1u6LKhg/IjeS5zYfwoxf3Y8POPHxV7PFjBt3IEftrA0Jw/7VW3He1Ddf0rkS4tdZwC2G3EYZohml31m0GbgkBaMC2hAAk9xOeXMmWc6sJtBW4W/jA9faAUGDfvn24+eabUVBQEBD96dBOhA7Fv8tSikZHUnDTKJmUGIuU+wQu7b2ceufIht2N/hqOH8/HtsUzccu1Eu+6YRH3R5G45huOurO24dPi+lLV5YV0kI2FM8Ybxj9+34kZdJsTmNP/a5obYK6/f/T3f40Fcpi5EMkDyIucfumLGzQWwu6YsxGLJso4pTDnPIGSuGcpLaQTF4WYhOvr70lZhodN9ySl/dy5CmX2WppgyStc8vslr2I5iFxy5q9AxpKchtb84o/wusPgnjx8UMPoKUbLwf0nKME7etidWL0oDZ7++WSuXYLU8cmIo9+gH3j0WWzZk4NiNYQH3L8UAbq2zANu0J2kQ67PRFxJvjhdipfePkKuJB/i+f93GB8dO0+26jq3owolIh7SOwTfGhGC719bixv7kytJhN13W1xJBLZdrdt8zBtbvhm2OTa3W1cSapnfBBW23T4CPdkJFThz5gxmz56NG264Ae+//76xKnMnHIazy/xe0vIUijGps+uroYgl15lM2sNuF+sxFaGl3VOSGoT7oJPRSEy031BdKV7P9dV52xs0dpLjcibe/aj+S1D06O8ic5lE2zbXkIKVW8mfeoIbYI4w2dkjk7D80hGsI5ZpnFKQvm4HLq2Z5sHanIp1mRuccbvl/pQFq3H8/z1puODIOYQOwTP7TmEDhS10l1JS52DDjvsafEko+Oh9p/U8NaWxr7y7eoLpnIVe1K3xqu6cmtFPJXmH9iJr6xv4w8IVzheKLNvqOqi0RSsxY9pk3ERLv0aHul5t+jFLz6vtVVVV4eLFiygtLcWkSZNw+PBhZ2Vr167FXXfdZVjsGB4YOIIdEuQle6H6ApbvXo4Keo5tkf5twL8hdbj9DZk11+RbAXk2nMuWX3LJWEHyXYpKkl/i+1kl9LBiBIUAvKpPLYX6q3E2KpFG3E6UpH8X/G9DIpZIWZkoKf9m5DkaeRFZnL7u+PT98S+Bh3/qbEt3VIG2UOBHP/oRXnjhBWMSL7sFtGaqpGgTK1aswK9+9Sv6mb8eDj/88ENcf/31rdmU33WVl5cb4F9SUuI1588+d2XOnz+P1157Dffcc4/fbXotSJ8V7E3KUYwafYTT86igze01U6UH1kxF8jzQsuqbTcuqmwo02s3DU5ZB4GVokhfQojXLXeJnU5+Ki8twiRbbCYuKRmysfSGcBtUYfaPof5GNem0vRnUUFBcZ0UvCyBIdGx/beHxUsuzAGsRw52nNyX3V1P9Qck0pyKe2aZ5LdAJifYGN0dcio3wYGTSio2NpDYQGPaUDG7Y8ej1SecIqfYk59cnihiDvWjwIjxtJFlQahEYicdQ4zOTtyeXkG7Ufr8y/HvP5JxI2h9t/jXFKkrF0PngjDygcr34GtPidpnZWQMCOLajvffkefrbzZ23Wg2Gxw3D30LuNLzrciEBbmzXYSSuWZyI5P5vK6lp8mFuInQcLkf1lKYcq8Tq6HpEUlYQmSo5MqEXP8HogYXBmiBagZriWlSJ5Xza+7grbMimSG5ZnJ7nXzuhFVaCTKbB582Y89thjOHr0aKOeM9A2NfG/ZTYGuYNhd+c8gXNrfLloTv89jpc+8xuDoqM0vYdE0tb6KRHTVqZiKYFF9ooNOLR0YsMFb6hPsfG0eWvY6JuXAlRHfLwbC7mXWwwHcgLtWLrPa9vmOoy++ihfkY2NDN2UUh+aqtBt1s+x3xavMjfNBPapioJc7Prnm3j9Ty9RnE9HX12gu+EI7CtBJepM3YaytNORuC1UVVe1aYs1tTXgDw4GOoY4TgpudskFsvmI9+U452QJtn9WgA++KDTg217a/d+wEIsRlSSJrNsDe9CzdIQAZI1dYVsA2wzdZtiWZ8T3mjdumY81qQJdUQFeRXDBggXYtm2bx+Ht3r0bFRUVXiHaHTjz+2x7JH5v5TkYvFKsu2348OHt0Y02bWP0dx9BCoF3Fnlwv/buLzFqYmKbtteRlef94xWHn3oqHrt3VEd2JWDbDlrwtpWdxr73/4E/rl6OFZleKRspaXMw4NRaZGQF7HMMio4J4PEHAgNxa1hTvAnH7VXTz3+SGO6CPQlgy7Pg/KvicuzKKSTgLkRhmbvFFRqq1i/GQqtJhmBY7xr6OdSuL8OxlfQV4PZm2TYDN39oi2VbgJtbU9huqLkedS0FCgsLsXjxYrz44ouGu6K30f30p23nQsX/XnkuhTtg9nSuV69e4AnPcp3v70z/XsMi7AGuyaPD/xQ/Af9FkzuzlmZj6bNZNOFxpgffa/+rbFbJanl/bryOZrPqa3RTGd4idydOyemPYZzfpvRGFXXpE0EJ3hW5ryJq6AzvDzY5DSsXzkLqpBuRGMsTLX6HZTkfYNMf1mL+m33Q0zTHwXtFerU1FWDQY794BmIzFLdmG1JXXW2d4X9vQCEBnkBnZ/qQkLG0JJdxS85ffC5V1WDv4ULsIFeSgyfJlcRHimFXkj4WXE0L3PQgv0JjgRtaTZKh2QzbnizbZtjm8vJMODc/D/O+jy7pZVWgUyqwYcMGPPzww2D/55Yk/jfF8GuGYIFhf3O2VAdFshXgrYw3cCY8Al9sZkNdNl5btR77aOGtsffejyQ/AHPCM/tQ+kSZ4cftOnWzvTSMHjkN2ftuRnVYb4xsk1/sozGbFiG6lwJURZOvuib3CgQleFeX1088aShLMuYsexQ/uGcyxgwxTXk2CoWif9I4PPIMbw3v0qO2V0Cgj3MGv3YBb4q2wRNf+QOK2xTLatuPtuNbEL25J7xv6E75wRMl2PFZPvYcLkaVrX7io7sesyvJlXG8fLsFA7rzapJ1BiQzHLOmsnmzbjNkyyb6c85JIFtyd33Qc6pAV1Ng+vTpxvvR//zP/2Dv3r0+h3fvvfcaUU5cYZojAmnyUwHbCayeNQ/iicp3LZ0/y7g5c+K9BN7+oFQowagfhO5nl5pVLLI/Ro1uoi94ExsKjaQJoh31zaKJfe2o4v68Wjqqb23XrvPnFnsTKWnpeGjOdHzzG0mtEq2k7Toe3DU7AZAgmK3e7eVqwm1x28GQZJyiNeenz5Xjvc/JleTTfBRfrHe9casHQfUAciVJ6gMM7V1LriR27SwWu2XbbN02+2vzPoM4Q7iUYcCWjeFaNm5XYdut+noyCBTgfysPPPCAsbH/9vPPP49NmzZ5/AVw4MCBuPPOO4NAmTYcYuRobA6Sz4A2VFGrdigQlOAd1e86LJqzAP1uudvkSqKvic6ggAAhW6AZiNsycVvcBrcl7bZlex1VN4+Nk+Q83osUc2sPuZLsPFSAz09d8Nm1Xt2sGN6brNvxtQ5XErJuN9GVhMGbQZvBm8Ga982wzZ1Q4Pb5KLRAECkwduxY8Pab3/wGq1evxpo1a3D27NkGCrRqVJAGNeuBKqAKNEeBoATv0P7j8Myacc3RS+8JAAUEggUU27JL0obkbdlWe9ZtHg/v81ZDPu2f5p0nv+18/OtIEWw13q384bTs41AKAZhEXlmXNdOVhGGbQdts2eZ9TgLZkrenPtqWKtCZFLjsssvwi1/8AjyR8vXXXzes4By/m5OCd2d6ktrXYFAgKME7GB5sVx+jwGJbj7O92mnrcUj9PB5OMi7O2ZVkx8ECIwxgCa+k4CWxFXtAL45KAgyJraNVH8V3u36SpLiMeJooqa4kXgTWS6pACxRw54bCoQI1qQKqQOAooOAdOM9Ce6IKtIkC7mC7jAB79+fnkPXZWRzPL/fZbhy5klwVT9btPjXoFuJ+gRt3oM3nGMRlE1cSsxuJ2aJt3vfZKS2gCqgCHhUQNxRePVJTV1SAVqs8TatVhkUjId7NapddcchdZEwK3l3kQeowVAGzAgLbfE6s27aaWnxyvJiikhRg39Hz5FrifYGMSHYl6cOwXYe+3ephm+FYrNYC25LLhEkBbc7VlcT8ZHRfFWhfBTR6Sfvq3V6t5W1ahEHTOWZ2CnaXbsMYjd7XXtK3uB0F7xZLqBWoAoGhgDvY5nMnCsmVhEIA7jhUCLZ0e0vsXj2wJy3dTqtJDu5VY7iScHmBbVfgFtAW8BbgNsO2O+u2Wra9PQW9pgqoAp1FgYriApSRXcIIoxfdXnH0ipG5yr5QDVKmYngzoLtj+t1Znmrb9lPBu2311dpVgTZXQIBbLNucl5RX02qSBXiXgPtEIa1m4CNdKj6NM5/twJlP30FF6TlnaTMgyz7n5n0uLMdyo+uxnA+ovJai4uQ7evRfy4Bf/29AdU870/UUkEVvOHKQps6vQMHOZ5EwfqFjIKnYd2kzRrcDe9vydmJ+lr3ZOQ9NRlOjg3dUvzv/E2+dESh4t46OWosq0K4KmGGbG+bjanIl+Ti3CNsJuD/KPY9aOuctVZWX4NSBHTj6r7+h6MQhb0W7/rUSWlSLN02qQDsoIP9+26EpbaLNFMjDcid0cyOlyC8i03f/tseq7LdedowqBWm3DWniCDuu303saJct3vavkC4rnQ5MFWhfBcwf1rwv2/GzFykiyVm8l1OEi5XeXUnqyNJmKzqKS6c+RsXpT9GdrL6jrkyAZUhfw2ot1mxxD+HcvM/X5Vis2pKzGub99lWnGa1VVQJv/9V+4/CracWfEc2oRG9RBfxXoKioCGVlZRgypKmw5H8bWrJ9FMh59RksbdBUFr44cwkT+zfD76NBPb4O8rBpnmMNzTkP4YYmmrs7rt++xhU81xW8g+dZ60g7qQIC3ALanBdfrMIu8tnmqCSniyp8jqxPd/Lb7kuRSeJqEW69ksrz9m1j4qOr37b4a4v/ttlv2+y7zZAtm3SgU4F3USHwdYqLyGn2d4GHf2rf17+qgCqgCnhToGw/fjJjrb1EcjKQnW3s780+Dowe5byTV1fmaemRNMncbaLrtFYZIiM9XHdzU9mBt5zAn552C5rk2eJ3v/kzJZKiUTXugM3G1+yRqhpf1TP+KGBfqcKfklpGFVAF2k0BgWxZNZPzymobPiA3kuc2H8LDa/djw848r9DdPdyCrw0IQdp1objvahuu6V1J0G0zLNYM11FRUeCIBz169EBMTEyjjc/zdS4XEREBM4ibLeEC350KutvtSWpDqoAq0NUU2Pm/j8Nuc07G1jdex7IU+whP5Z93DrXswBoY77P0Xvv8/mLneedO2R5MNd6HwzD31RznaV87e19b5SgyB9NvcBgOfN3kuO5Pvw+smUr9jqLNguf3NOx37qanHNfCsD5HXfP8lL1RMTffZxqV0ROqgCrQDgqIZZubEvDm/MiZCxSV5Cx2Udzt8kqaEOglhZAVehCtJjkiAbg8uhqWOpvTKi2h/cSibc4Zqvk6n2OrtmxmtxIBbG5eIdvLQ9BLqoAqEBgK2PKwfukanECU1/5covnnt899AhMS/bAfn96ChxfaZzYmL1qOiUMG4UyMvfqstw6i7MlxYGeT6N6JIFs42BY+/5WdeGj0FLIT16e8rD864J2N5APqL3jbqziAdUvt1vXk9PuQ5Ed3ndX52e9ht6dRvzPt/R77HCZXP4Mh3PHinfjhdIdzTcpKTE5qa5caZ8+73I75ddDlBqcDUgU6gwIC3GbYLiitwPs5hXj30wLkl/h2JUnoQbBNIQCv6lOLMEu9n3eII462QLXAtliv+dhfVxKF7c7watI+qgKqgFOBS2ewfMlSAyKd5zzsDP/eArrii2QrsOkXqY76UvDCExOM2kbcmApkkg08Kwen6O3aAOL+t2JhGjAjg4qseBnZ6VMw2smqZch62REOEIswcZTzgofe2U8X7NoMro7To1NvsO/49df/fkcOmYZ1K1Nx/Xy26S/FY6umYfMjo7HpJ+PhCKSCjS/OQdNs7X51MmgKKXgHzaPWgQaSAmbY5n7ZXUlq8WFuIXYeLET2l7TMs4+oJD3IlWQ4LXAzIr4WvSLYk9Ce2EotftsC3GbQFvjma2bLttl9hGsS0JbcUb1mQaKAxvkNkgfdlYcZfSWWrVuNvMoIcpfzNNBKVNL15N7ereJ8d9mB/8N0h2t36sqlGOeY2NgtQcD5GErIem7n90jcMSsdyFhCJzKx6f3TGD2xP1cDFOzFH+y+KkhdOQ2J9rM+/lbgn+u4Lk7puNNPWOfSTes3WeAfWYlFBN5s386c/ziexVgsdIw7ZdluTBvi6wsKt6rJkwIK3p6U0fOqQCsrILDN1Yp1m/dzTpZQVJIC7P7iHCqqvbuShFotuLI3rSZJ1u2BPaqoIjtwWyyNYVsA2wzdZthm6FZXEn4CmlwV0Di/rorocedUIB4TZ85tpa4XYN38eY660rBkzhhnvYOuv5n22RadiT3HyjAm1g7i8TdOBZU0rizd8C6WTLzfYPLc7X91Wo/TUtkhxY9UvBe/d5i7U1dPhgPh/bix6f0GfRVYtG81ll7P483CQgkajgV48cf14/ajcS3iRgEFbzei6KnAV4CtsP269yO3ijBU19W7VrRmzy/vfrnTP7ol9QpwC2xzfub8Jbx/qICAuxCFZRTWzkfqF2Oh1SRDMIyikoQ6XElYA6vDH1tcRsyQLeCtriQ+xNXLLgponF8XQfSwMyvgiCzifQgcpcN7idNvLa9ftGbDTxsslBPWrbfz5jMni8hk7LCAR47CrPQUMnqTk0bG77Hrt/djQnwZ3s6QVSdX4rZEHw07as59J8MB68n4wUQ/YZ3ubVa/6b7o0bOxddEqTHL4lHM3Fu1YYvf35gNNzVbAvyfe7Or1RlWg9RVg4OQtqWcS3r/jfSMubkVFBaqrq1FTU2NYk6XV8IulsNK5WgLUqu4xcrpRLnWyFZgjeHTv3t2I8mG2CDe6ycsJM2xzMXYlqaiqwb8OF2IHuZIcPEmuJD5SzMVCDL8qgYCb3gTDbDQu+0RJsyuJGbjN0O0K2zwuA9TJDUXGKs3zsSZVQBTQOL+ihOadXgGajPhAVLLTL9rbeNZll2KmJ/cNWy6em+SYWEhW3yfvTWpQVeSAK0Fe3mTvBg4eP0d/651Hbpz+PYDBm7D59e15mPDNXKxyuJnMefBOP1edLMabq8TX4yGM8xPW0YJ+k4MKzpywT+SkzhvpRO5ZOP1r5KTmTVZAwbvJkukNHamAQCPDJ8MlgycDJ4Mun5Pwe9LHm154Cr3yvkDxoCTseuy/5XSjXOplQDVbigVY5XqjG00nBLb5FO/zxqtHHjxRQlFJ8rHncBGqbLWmOxrvhlKAzyH5BzDi/QwMKDmKuv/5oxOUBaZl3DJ26S/nfI37LJt8ceCck0C25I17oGeCWgE/4/zCa/xhik1ME8xCKTaxfsAE9aup4wdPxphTfvbC2++OBzJ+DudUyK1PNLb6RvbDjRRSMJP4OnNbNspoMqJ4fUcm3Yl0MlAvIYZdm/kWuZ7kOSdn3ndHQ4D31FVb3jtOa/uCBRP9hHWgJf3O25KOWRkNe5Qx6z7MuPMTWiSo4Xk9apoC+r7YNL20dAcqIPBrhu7IyEgDthk02drtCt4CnNYQqxGv2lP3zXUzwHK9bPkWkPUGqgLcAtucnyoiVxKKub2DopIU0WI3XhNZnAeQK0lSH1o8sTe5kjz7CuqO7oal7wC4RiUxW7V53wzjvM/jlU3GJH2X3Gtf9GJQK+Aa5zf7hyPAkdPM8YlRsR9To643rHtIXY2izXPrQYAsbE+FDbUv8JG6AZc2231ag1pUHXzHKRCdjD+fOo7S6jAyqHjqRjX9WhqGuAGCyi7livdgsRBoyko84ZY645AgEQGPnSBbMf1K6aymP6Y/Sp7eXEfGPIwXmE17EDf6GRokO1NuSsV3xtVb051NuNtpSb/p3vmpjq8a9G9832PA9ePZ3zsbkxauR+krM03jc9e4nvOmgIK3N3X0WsAowNDIQMs5QzbDMYMxn2PQ5H1xM+Fzkrgsp9CQUPTs2VNON8q5XtkYYLk+hm+BW26Dr0uSNiRn4L9YacOeLygqCfluf37qghT1mPeM4vB/tKJkfB26h7IrCY2P/mPXGO51KI0xjFxexKJthm4zcHPfeJzcP+mnua/mfY+d6UIX5Jn4HJLpdULi+4wiI/V1WT39jPOLyJH4wQKK9LuCTHiZ85C+5XYsn2JfAn3Pbx9zrqq3bNEdPoOziaaaqwJto0AoYvsn1n8xbEYjO19YZP+SSfemTL0Ol/JyUVQfRMqoMdQcECV7H04QeZtXjk+aPINiY2c0CGu4aNatfv77oCXijdB+1NScNFzviKTiayjN7zeFHvzJWOeYN/z6+xhNhvmNc+bZI7pkzMKKWXdi8QQ1e/t6Bp6uK3h7UkbPB6QCApcMngzGDJoMpmZrtxm8uBynkNAQ9OrVy+OYBKY4Z4jl+7hehl0+5nYkcf2y1dTW4dO88+S3nY+9R4pRXePdlSQ81IKhtMDNVX3qcFn3ajtsG0BvqbdeE9+HUXPhkeEIi452gjf3R4Bb+iSgLbl5HNLfYMnluR87fwy5xbmGtl7HXlZCn46OEmSpxdF/ei3O2kbRJ+xNl99klBOtvd7UaS76H+eXY6VNSV+L1BX2D+cVqY/hgUubMfrsJoxdKM6rG/HjMX6a8zqNRtrRoFOAfMTXGv7Z9pFnzR+PAfOboUL8TSCjt8l1Iw3TbpQ3H+/1mZeIX0ZLxPsFbS3od8HO550hE5MXvYP7kyKNDk775TtIWXubMcFzyW0LMbn0FeccUu8j0KuuCvj1DF1v0mNVoCMUENBhyGQA5WMGUIZjcTER+JL+8XVOnPOy6L4S18n188b38Mb7nAS2OT9ZWI73yLK9g7bzF71HVTGs2KFnUFz5PsorsnGMFsR5+xjRNf9P7VlC7Bu7w/C+deBhWMmqYYn+CtZ3f2S/TmEELY5N7jNyOtcjrAdWTVqFmAj7+EQnX2PtStfNz2by65ORcy7Hv+FNchQrXw/8kTY/0o60HU745uJdQe+mxvlF9BiszCRLYKoR6RePL6JIv8cWOtRLxY5fT/MPEPzQW4uoAh2mQGgYyAOwaSltEq6s9zNx3BuNyc6Y3kDyArKA23nWZ93vm5aIn/INP7/MNrvfZXjzN/LveA7WLZpQ37/4CVi1YQ5GzFhL5zLw3uHnMXq0n+b3+lp0jxRQ8NaXQadTgEHYAFYHeAt080BcwVugmfOoKPPvge6HLfXyVdnnnNu4UFGD3Z8XIosmSh7Pv+i+AtPZuG72BW6Gx9nw3TdmodxWbr/KHivM8rLRdwMGbsO/hM+Rn7fxbh9C7ionyQor5TnnJDnt8nhrLbV45IZH8PXLvm58SeBz3OdgSQLd/Ix4u1jl+9m0RJsLVReMduR12JK6AuPe5sT5pbgNU57AagLveWTkzlqx0BHqDFiw8Tca+CAwHqz2oqUKhCZhOb2fLm9pPXR/+YVLzlpmPzDGP/giy/UGRzi/lPQ0JPlLbC3o98zN1fhOhY0mR0c26mPS/WtQ/e2VsPEvzo5fk52D0h2/FfD3MfpdoRZUBdpSATNQmqHa3KYZvqW8lRaYYVcNT4nLme+TfY5K8vHRImM1yf1Hz8NGYOctRdC/qGF9QnAVwXNCVLUBaMYXA9gB2QnXbIhnyOZcNgFxzpmbLeR3bKEFdYx9OpbELuzC1Y682mYPpchFRBcpHgw5Py/WmUNKtnWycVxg2vhXF9FaXmdt3XZb1N/cOL8gz9m5q7ZSaLRJJt/VdCyZNqQtuql1qgKdWIECmhNRH45wcrJ/lmLzEvHfm/61dho/u3F6RkN3QN5OHesyzXhWt8sMUQfSFRVg0BFY9gt6CFDF7cRVD4FsPs/7vLEryY6DBdiZU4jScu8wx54oA3vyJEkLBvW0IYQWuGEI5CRghnA64FPeYNsJ3FTOBazpTP0546DhH4lhLroYxYPA6i3Pi/VmGK6qqmrwBaqhSq1zxFpzW/xszXq3Tu3tXAv5tjc3PjH3tOzMGRN085mTOEmhBGP9/Bmd79CkCnR1BSpy/ukMB5iy7DuNwxG6FYCWiH9+ieMKLRGf1Mh/xe1dejLwFVDwDvxnpD30ooBP6HbAJ2E6gavQbL1LioAb5yUE2LsoBOB2WuDmywLf7gq9yZUkKSGEwgDWItLqiEpCbTCQiQ86d92A8Ajeoc1s6RbQlly6JznfzMn12H62wV8GTgZCbluAsEGBLnzAz669wZu1dvX/9/laDMBn0JI4v0AuLSk9y2VUa5GWfh8+eWaCy3k9VAWCV4GDW37vHPyD91zr3Pe+E4m7Vx3BvkUl6Hn5SOc8cO/36NXOoICCd2d4StrHVlGAAY2TOecoJB/nFmE7AfdHueeNBW+8NRYVZvfbvopm3MSTK4l5NUkBbok8wiAmQGiJIHoWi7cZtBmqZTM3zOeakMQKy20zEMoYOyMMNmHYzqIC36yDjN15sZV3uA3XKDqdUueWxPklTfc8Xx86cOWOfYhYez3mZVCk36W3Yf13vawC2MrPQ6tTBQJdgZGzXsS+W0oQ1rMfRgzx/+eg6P5DMNq/4CeBLoH2z6SAgrdJDN3tegowhDHDkgOJAWR8zBtPjtz+6Vm8//k5mjTpEpTVRQYrAXRiLFu3KY/hGNt21xOGLQFdziX8IO+L1ZldEioraU00djUhd20nZAtYS85tmvf5uAmJ23EXx7wJVXTaovJM+UuOaNCWg+E22qOdthwD1938OL+ALZdCB0ps4bQNmDNuNEL7byDwnmF0e1baCtz5yWK10rX1Q9T6O4UCkfEE0H4GJOkUA9JOtkgBBe8Wyac3B6oCDGMNEh2eK60gVxKOSnIWp4vIEdVH6tOd/Lb7WjGsdw0iLfUL3LBFmTeBbQZu2WTBHYZy7gNDt+Fqwi4mklwB2/VYyjUhZxDkdgRCm3Brlygq4za0buMRmXVu9Dpr47ZbrfoWxPkFTuO3P5zu6Eoyti5zrE455H7sSP89xnPc4+wlWLh+Ml6ZObrVuqwVqQKqgCrQFRRQ8O4KT1HHYCggEGTOq/7wNj46XEgxR4ux/6V9BKfexerGriQJBNzkShIbUb/ADVuwBbjNkC37kou1m1sRKzTfZ0yqNLfdCrDtOhKBT9fzwXLcXuNvr3ba9Lk1O84vUJHzD2MZee5f2roMmFfQHvfESsxZkgwj0u8f3sPzBN7+xW9o09Fq5aqAKqAKBIwCCt4B8yi0I81RQCCb7xUg4jz3zAVsJ8v2LnIlKa9kHw/PKYSs04NoNckRCcDl0dUUxc/mjFbBIG22bpuXbRfrNpeRclyWrd1ieZVjo/U2gG0ZlVkHOae5KuBRgRbE+UXSTJrI+x36Yukm7FjkKKypq8ZKD3GAPfZHL6gCqoAqECQKKHgHyYPuasMU0DTDdgG5krxPriQ7aIGbM+fJr9pHSuhBsE0hAIdTzO1wa33IwBAX2BZrthm6XWGbLeLi183NMnyz+4fzXBtCt49h6mVVoNUVCA2lxTU8fnq4AfJW74FWqAqoAqpA51TA41tn5xyO9rorK2CGbR4nW5WrbLXYe6TQWODmQF6pMYnSmwY9KLrIcFrgZiSFAOwZUT+pUlxJBKgZts2gLfBttmwLbDvhmhoW327OedOkCqgCqoAqoAqoAqqAKKDgLUpoHpAKCGxz58S6zfs5p0ooKkkBdn9xDhXV3l1JQq0WXNnbiiSybg/oTrGueTVISgzG4kbCQC1w7QrdZtjm8gLaAtcC2JIblesfVUAVUAVUAVVAFVAFXBRQ8HYRRA8DQwEBboFtzvPPX8LOQ7zATQEKS6t8drRfjIVWkwzBkDgbwmk1SU4Mx1arPSoJAzZDtSfLthm4xbqtsO1Tdi2gCqgCqoAqoAqoAh4UUPD2IIyebn8FzLDNrbMrCVuz//UF+W3TapIHT5Wx2dtrx2LYlYQs2yMp5nZ0aMMFbsS6bQZuM3QzaJthWyZGmi3c0rhat0UJzVUBVUAVUAVUAVXAXwUUvP1VSsu1iQIC21y52bp98AS5ktAkyT2Hiww/bm+Nh9JKkEPIlWQEwXZ/ciVhOBfLtMA05+JKYoZtgXCGbNkEtDnnJJAtube+6DVVQBVQBVQBVUAVUAU8KaDg7UmZdjpvhk0zhErzvq5Luc6Wy1jN4/uqqBw7jagkBSi64NuVZEBP8tumeNvDe9dRmGz7AjdWC0UXcUC0wLYZtHnfDOO8L24kAtwC7aypwnZne2Vpf1UBVUAVUAVUgcBVQMG7A56NQKesgGfJyUa3D7IQmXMA62pOIfQygNZxQRktuHLFX9ag51eHYL32BuDmO1DbK9YARe52Z4NCGbfkPH6Osb37iwLDd/vzUxd8Po1eUVaKSmKhMIB16BFav5okQ7PZlcSdddsM3FKeNTQDt3Sgs2kr/dZcFVAFVAFVQBVQBQJXAQXvdnw2ApxG/uVRhLz+e4T85RWE55929uIm3ot0HgKf77dvfIpWm6v7xgTUfeeHwB2pqCXYFECU3HRnQOzKmLkzvM9bTW0dPvvyvOFKsvdIMaprzEs6Nu52eIgFQ42oJMBl5ErCdfB4eTPDNMO22bot8C1lGMwZsgW0Oeck2kneuAd6RhVQBVQBVUAVUAVUgZYroODdcg191iDwaeRfnYR15c+BN/5AswcbhsGrCwnFlzUW5FdUo5rmEEbTSuPDY7ojouKivQ0braq48+/GhiuTgEfTUTvx2wEJjuYx8z5vJwvL8Z4jKklJef2CNW4FJKge2JOjkgBXxpIrSV2VE7bFss1ALXBthm45L+UEtgW4Bdq5XYVtt+rrSVVAFVAFVAFVQBVoAwUUvNtAVHOVAp2cW/74IqzLFgIXSp1F6gigS1PuRtE1N+BMbF/MmDkTx7465ry+7JEluOvr1yEh9zP03LsdETu2AlW0KuPRHFh+dC9CUiaj5un/BfoNcN7TUTDJY+QkObuSXKCloz9gv20KAZh71rcrSVx3K67qw77btegWYlrgxsVv2wzaAt9i2eacIVss3ALaZl3M+07hdEcVUAVUAVVAFVAFVIE2VEDBuw3FdUL3pXKELCL3kL/90dlazde+gfOzH0PJiOtQUVGBixcv4lJZmRNapWB1dTVKI7uj5t9SUHLrZHR/5BeIfWMdov70e6CcQDbrTYRMvQG1//Mn1H79JqcFt73AUiCb+yvjrSHg/uSY3ZVk/9HzsNGxtxRBr8JhtJpkUp869O1WD9s8BrFaM0yb3Uhk3wzbAtpi2eack2ghube+6LXOrQA/46iQqDYdRLewbs7XVJs2pJWrAqqAKqAKdDkFFLzb4JEKjBqTJ0tLEPrgt4CPPrC31DMO5+en4zxBtM1mg62qCgzXvNXU1DQCb65DrldWVqIuPBIVaT9C1LfuR/xvFiH0g3eAwrOwfu8O1Kx8DbW3TzGsvdxYW4KmjFFgm3N2JeEQgO+RhduXKwl5aOPyWHYlsWBQTxtCTAvcMEALcIs129XCLcBthm0Bbh63jF3yNnjMflUpfbml7y04UHQAdeTfzv95TfzLAW80DmPzUJg1tNCqnNFh0bg8+nLnmD0U79KnRWfOfzf2d/i84HPjCy3/26mtqzV0b44ArC//x6+3iIgI9OrRC9fFXWdU1dGvreaMR+9RBVQBVUAV6FgFFLzbSH8G5tryiwj7wV3AJ3uMVmqHj8KZp9egPDYetQTcDNpcjpO4Rrh+mMt5LsNwy7DO99RE98Klp9cifuPvEb12GVBdhZBHvoOaFzaidsLkNoFvd7BdSr7a7+cUGAvc5BU4fNG5sx5SXDdQvO1Qw5Uk0uqISkKw5Am2zeDN+wxAUpa1cQfb3LSrjh6606anuQ+8cR9/dd2vUFpaivLyclS5PPumdoLrZA1Yj6ioKERHR6NnRE+jLWmzqXV25vI8Zk7yehjYfSB61vZsVa35dcdad+/e3dDe/LrrzNpp31UBVUAVUAXaVwEF71bUW8DUgG6C6rDHZzqh20auJad++SIqKTJJLcGzAJlYbA2YpnsEIqRbDFdsaeON9/k6tyPQfvaeH6A6/jLEPfMoQJMvQ36cBttr76J2xLWtAt8yJnPOUUg+OVqEd2mi5MdHSyhKiXdXkiiKjTic/Lavopjb8VEclaTSOX4GGIYaHpts4kbCx3xNNtFKAEu0cs1Fu47MuU+8cV8Fknlc/Nz4nLtfN/ztr9TLusjrQrQRLfytq6uUk9cEv2ZY58jISOPfCWvUmlqz3lw/1yvPuKtoqONQBVQBVUAVaHsFFLxbWWMDuglEretWAv/8i1F7TdLXcCJ9LaooakkdX3PAGMMSf3gz1PI5vpdzc+IPera0MUgwVHBikOCNy7MFvPDmbwJPLEPcsscNv+9QsnxX/uVfQI9oZ31NATKBbG6L92U7nn8R2z89i12fn0MZTZr0lqw0rkRyJUmi1SQTY2oQAnsUE+4HQwuPnXN3sG0Gbi4nOrE2AjsyHsm99aWjrnHfuO88Hn6O/Mx4DPKrBT+/5iSul+th/bhefm0IDJo1ak7dnfEe1oM3eT3xvxdOfCxam1/TTR0ja8rPUYDendbcviZVQBVQBVQBVcCXAgrevhTy87rAKcNU3ZFDCFm+xH5n7wSc+vkqVDmgmWFAAIFz/lDne/iDm/1RXT/AGdoYrBgmuDxfZ4BjoODyAhaFFBkl7NjniP7Ti0DeEYQ++xPYfva8UZ7v4f651u06NIETGQvnxbSC5C7y2d5OUUlOnit3vaXRcR+KSjKyLy1yE1uLCIpKYrRLPrIC0DJ2AW7OGWQ452u8SVnWxgyS5v6b9xt1IgBOcP+47zwehmN+xnzMY5UvTaJ3U7vLdfNmhnpuQ7QTbSRvav2dqbyMkbVlPVgHTrLPWsvruTnj4vp5k2fJr1N3Wjenbr1HFVAFVAFVIPgUUPBuhWf+/9k7F/CoqnP9vyEJJECiiSZqUAFBDVaCggpeQIOtB7Al1IKtGlTUAsdawVqhoQXbaKWorUBbC3gqHAV7FNq/waNQj4ACKlQTJFESuQhRoJJAohkhgQTyX9+e+Wb2XDKZTCaQy7ueZ2df1u1bvz1J3v3Nt9dSASXiSv7Rd5n9iJnyr8Zq+cBDT6DavFApSYSRCk31msl1qSObXPNNKq5UnMq5iG3ZRAyIKLBeIDN9f3nnVHTNfxfRu7ZZi/PUjrsXx791mdWklA2U1Hb7vrbuBD7cdQgbjNjeWvqVEY2BanqudZVQklQjuM2sJEldPHHbKoZ0DDp22ds3FYxSTuropqLKd+/puXUeqb06fr2vMk55iFIx2BzrpQ9tX1lK+3JN+29O+22trrIQu2X8wkQ4Ww/C5gGyOUnak00+n7Lp51VZd0TezeHJuiRAAiTQkQlQeEfo7qvohln6PWrjm1ar1dePwleDrrOO5Z+1CDDxltk9ZiJ49Z+6/oO3myTXVFSImLD/85fr+s/femHPVPy3mTHl3AfHmRgR43F+ZiZqFr5qtW9vW0W29CPHuu368hszK8kBvP9pBQ4fbSyUBOidHG1elISZUcPErNc749alHxUmsheb9aFBj+W6bjoeHYfaKXtJurdO2tgPsV3GJ3sZn4xfhaD9HoQ7LG1XGcrezjHcdttaPf2M2FlHkrPwkD50E8a6tTVWtJcESIAESODUEqDwbiZ/Fa0qvLssnutsq81RTQAAQABJREFU0cRzl0142DoWkSniU7ydIrpVQMs/b6knm4ooX3N8/9lLW9KnigzJVxvE8/1N32+h2kxVGP/2/zofAD792LxomWEJBe1Hy8v+oKPGzEpyCOs/Kce/K6t9u/c7T+3eCf3MFIAXnWE89J08q09GG7vEJrFPxqebXXQHEtt2oShjkaR7v87b0AUdg45P9sJHmEvSfbhD0vZlL5v2o+fhtttW6ykP4SCbfsYjOR7tw85Yr0WyH7ZFAiRAAiTQfglQeEfg3so/eRG19aW7EL3x/6wWjwwdgerUNMQYsSUiVAS3ilARoCqUpK79H3kgczRf6+i5llURJ3sR3wfH3ovzjPCWFP23haidZV70lGNji6RjJpTkg53OUJKi0qpG55WWUJL01Ggz5/YJnNbZ4wkXe1Rsq+DWMarwlr3kSTnZpI5uKlp895aR7eCHfVxyb2Tceq8iNTx7H9Kmnkeq/bbUjn3s9uOWGENj7ct9/uabb/D1119b2wUXXGC9p9EStrBNEiABEiCBtkOAwrsZ90r+ucomolviSWNW/9205vRoVnz3NktoiegUMaqbilD9x637UM3Q8rLXY7sdYss3vS/GMTOTSmzJR4hZsxJHppl5vo23ffu/HSZu+xA2bT+EmtrjQbuMMQuHXHCGWbrdeLfP7W7CSHDMKi99+optFdl20a3jtAtutVn30qCOIagxbTjTd3y+55EaWku1Gyn7TlY7Lc1h586deOWVV6w52VVUy17maLefO8wqtPK7KOmcc85BaWnpyULAfkiABEiABFoxAQrvZt4cFd7ysmPcWqeXuf6Ms3H4W4Pc3m4VpOrxFXEgm9QNJ9nFhbQpwlfaEhtE8Mr+q+tGILn4IxyojcbaN/Kx6cjpKK862mh3ZyfKapLR6Jts5iG3rSbZqZPTY60ebB2Tim69bhfcds+2jlkMsNvfqEHtpEBHHHM7uXVew+jduzc2btyIVatWeV0PdvKf//mf1u9osDLMIwESIAES6BgEKLybcZ9VdIu3+/g3DnT6tNBq7fAV11niUkSoClMVpCJGIyHCtA3Zq8CVPuS81jja3rngenwy+mxsO3cg8KWY1bDo7t7FhJIYz/YlKTDLj8usJM4XJaVd9W6rsFbBrXvpU8em3m21SfayabIf6zXuSaAtEZDP+Msvv4xrrrkGH3/8caOmy+/JpEmTGi3HAiRAAiRAAh2DAIV3mPdZvdUqvqO3bbFWjpTmqo23Wz3RIljlOFKCW9rXvuVYk4janQeqsaG4Alu/OGziuLsBIrobSLHRJpQkOcrMShKFtG7mJUnjMVehrGJa9vrgoEJbz33Fto5P9pJUZOu+ATN4mQTaHIGEhAT87//+L6644gocPHgwqP0/+tGPkJpqpv5hIgESIAESIAFDgMK7GR8DFd3i8Y42L1ZqOtr7IrenWAWqCtPmCFHpT0W3Hv+78gjWm/m2N247iENmsZvGUpoJJUk/E7jQbNH1zgV7xKZO5uFAHxbEZrvQlmO5Zt9kPLpJfd2k/+aMsTH7mU8CrYFAz549sXLlSgwfPhw1Nc45+wPZdeDAAWzatAlDhgwJlM1rJEACJEACHYwAhXczbriKX3mJKmaf5+Wp2rSeVny3CFm7tzscQWrvQ45F5NeYWJLN5gXJ9cVl+HTfN42OINFRhl4XJBnBfQKnxzlnN4mq914QRD3ZsreLbl+xLeORcQR6kAhnfI0azwIk0EoJXH311Xj++edx++23N2jhP//5T8gm3vEpU6bg1ltvtX6/GqzADBIgARIggXZNgMI7zNtrF8QivDt9U+VqKQonEk+3BHdzRbeaJu0fN1uRWUXyXbO4Tf5nX5tQksZmJQEuOFSMS9f9F84p/QAV815Bl07djGh2Li3ekNDW6yq4dQwqtGUvSUW27tVW7kmgIxG47bbb8Omnn+I3v/mN37Avu+wybN261fqW6sMPP8T48ePx85//HJMnT7a2s88+268OL5AACZAACbRvAoHXEW/fY2726ER0S7KLb9QccbbbJc4dgqFiNVRxqu06G3L+dNTF4o2tlcj526d4+rWdeH97RcOi23ii0xKBoeceRVbPg7h63z9xthHd8npjdF2t5WmLj49H9+7dIXGqiYmJOO2006y9nMvWrVs3dO3a1VrsRz3fIsJFgAfzdttt5jEJdCQCjz76KCSW25569OiBDz74ANu3b8eDDz5o/Y5JvoSeiEg///zzkZ2djX/961/2ajwmARIgARJo5wQovJt5g0Usi0f6RGxnZ0u1x9yhGKEIb7t41+PO8Qm4YEgWhv9kATYf7ou1JWaO4OqGPdynd+2Eq3vG4M4BJzCqdzV6da9GNEzc+QmzuqSxKs4o7/iEREtQi7BW0S3CW0S4XJNNVtaUzVdw28cR6kNEM7GyOgm0GQLyO7F48WIMHjzYbbNMISgPrH379sW8efOwd+9ezJ8/HxdddJFVRha6WrZsmVVH4r9feukla/ErdwM8IAESIAESaJcEoozYC28y6XaJI7RBCTIR2zJf9tGjR3HkyBF0+2MuEv72F6uBvatKEHfGGdZKdSJiNVxDW1fkstc2HGaVu/wdBzH/pf9DYs8BiI5xCXmt5LPvEhNlXpA0C9ycWY+zuta5F+uwpjY0ceDyj/30l/6CxPVvoLPxVh966R1LcIvoFq+379L1Kq5lL0kFtu59uucpCZCADwHxZl911VWWV/uLL75ASoqZn9Mnye/86tWrLREusd/6t0CKyUI7ItgnTpyIs846y6cmT0mABEiABNoDAXq8I3QXj6d44jVjD+x1C1d78/JPVjcrbtsI5NKyw3jlvX2YuWI3Xtz8FZL6XNmg6DZzh+D8pE4YcVE07jEzBV5/fq0lukUci3dNxLSEiYj3WjzZSV8fwmnmDieekeK+JnkMJbHfFR6TQGQIiFiWaQZFOAcS3dKL/K6OHDnSWoCnpKQEDzzwgPVALHn//ve/MWvWLCsM5a677oLEhTORAAmQAAm0LwL0eIdxP0U82z3ehw8fRvSGN5H6i7ut1ioeW4T6EbdYYRvysqLGRqvodlTX4t3ig9asJHvKXLHhQew4rUs9Ljqj3vJud+/smW9b4641Blv6kqS29bh/DDqbh4DjGYNR8dR/W3Gm4u2WcBKpo15u7ZrebSXBPQmET0B+z5vyuyTLzcvsKH/+858hS9LbkyzUIzHiP/jBD6zfWXsej0mABEiABNoeAQrvMO6Zr/CWUJNj+7/A+WOvslo7/KNJOPLQY+54aRG4J0xAz0efVeDt4nKz/9qapSRY18eqHdhX+DauNZNuD728j9WWhoeIaJZNZyDRvQp8CV85cfAAzvnhtTDr5ODw2HvguP9X7lhuKS/1RRw0RSAEs5d5JEACzSMgf1def/11Kwzlrbfe8gpDSUtLw/333x/Um9683lmbBEiABEjgZBCg8A6Dsq/wrq6uhni9e979HXTa+xmO970UB1/4P0ssf1l1HBuNd/v9HZUQT3ewJOHVFbu3ouS9POz/eAOO1x61ph+T+YI1RETEt8SN66aiW4W02CbCO/qN5Uj67VRILFH5b/6C2htGWeEn+vKkivRg9jCPBEjg1BCQMBR5GfOFF16w/raoFfL7L1MYihf88ssv18vckwAJkAAJtBECjPEO80YF8hZXDboOx41n+6t9+/HOe7vwm79vx6yXt+HNwrKgovuMrlG48pxajEw7gOK8Ofhiy1uW6BbTRFCLWNa4bZ0C0D4NoMRzS9y2vjQpdU7bsBrm/UtEm3/U1QOGuKc4DGR3mAhYjQRIoIUIpKen49lnn8W+ffvw+9//HhdccIHVk7zMvWTJEgwcOBBDhw7F8uXLrQftFjKDzZIACZAACUSYABfQCQOoeJV101CNOqO4N1w+Bp/UXoKt5w/GiV0nTMtHG2w9PjYKF6d2wsXJx9E96jDEa14dwCMuHi4R3TIbiQhsEdc63Z/GeOtMJGpT9KEydNm01uq75ophqO+e4I4zV3sbNIwZJEACrYaAPGD/7Gc/w9SpU60XN8ULvmbNGsu+jRs3QrZzzz3XHYZyhplNiYkESIAESKD1EqDHO8R7o6JW9pLkBUbZPjtgZiXZfAC/ff0Alh44E1t6XoMTUdEBW+1kPNB9zojGd/tF4+7LT+Dqc44iqXOtFWctISMiqH2FsXi7VXSLAJdNX5DUmG8R4PqipNjXbcXziJL5xI0VX428ld7ugHeDF0mg7RCQ3+/Ro0dDYr8//vhjTJo0yfqWS0Ygc4TPmDHDEuD33XeftVpm2xkZLSUBEiCBjkWAMd6N3G8V2nbhfchx1MRtl2P9J+X491c1jbQApHSLQr+UKDMzyXF0ifZMm24XyzqftywnXVpa6m7zmWeewYgRI6wVJiWcRMS2XWiLUBfbdCaT2n2fI+F7JvbTrKR5/Lw+2PXcG+5pBtVbrvHgviLf3SkPSIAEWj2ByspK/PWvf7VmQ9mzZ4+Xvddff70VB56VlWX9vfDK5AkJkAAJkMApI8BQkwDo7WJbsuX8aO1xfLDzEDZsK0dRaRVMsEmAmp5LXQ9XIH3nO+g9/Eokn3emexaRTp2cS6+L+NVQERHAsuCNeL3lmj2JF1w92/bZSDS8RMuKjbJ4Tvzvf2mJbrleftcUy9ut/UgdrUfRreS4J4G2SSApKcl6+VpCUfLy8qyXMd9++21rMO+88w5kk6Xpf/KTn0A84cnJyW1zoLSaBEiABNoRAXq8XTdTxbacyrFun+6vwjsfl2PzjkOoPtbwsu1ST6buS+t2DH0OFuGSRT+HUcLABek49ss/oIvxVms4icZoq/iWuseOHbPivMeNG4ddu3bJJSstWLDAWnBDV5yUNtRTLgVUcIvHHP/7MuKm3W3VO5ZxFXbPecHyhD/yyCOQ2M/evXujT58+1l6OZYoyCnALF3+QQLsgUFRUZAlwWY5e3hvRJN92ZWdn46c//Sn69++vl7knARIgARI4yQQ6vPBWwa1CW/ZlX1dbUwCu33bQHDceSpLaPQp9T6tFWpwDx48etjzPqS8vQtf8DZYY7zT8e4j66a+s2UkkZlsFuIZ8SJ81NTXWtGHy1bB9EY2FCxdi1KhRVpy31hWxLJvUkxAT8XSf+GQL4sZ/GzjyDRDfDaXP5uFY2vmWt3zx4sX49a9/7ffRkgeAnj17olevXn7bpZdeai2441eJF0iABFo9gYqKCjz33HPWzCiff/65l72ZmZlWGIrEjOs3YF4FTtJJZdFKvLiqBF3SR+Le0f3RNr5+rUPByqV4q6QK6SPHY3T/pJNEi92QAAm0FwIdUniLYJWkexGvR2tPGK+2xG0fxLZ9DskMeo+7x0WZlSRN3HbyCXSPPmp5rMVrLSEj0l7ssaM4f+4v0cWsHNnZeMI73T4J0ZOmWeJbPd76T0+EsyzC88033+C73/0uduzY4e570aJFlvCWGU3swlvtl7r1O4vR+a7/AA5+adUrn/YUKjK/Zwl8qSOhJrIC3meffeZuN9iBfIX9ySef4JxzzglWjHkkQAKtnID8fXj11VctL/j69eu9rJUHbglDuffeeyG/8yc3lePJAamYXmh6nZqH2mdGtxnhvXJSLLIWCa1c7KufibSTC469kQAJtHECHWZWExHZ9k3EsZx/XFqJv6zegf9c+CEW/PMzbNtb1aDojjWxJBendMKYb0XjzozjuPLsYzitc53lNZI4bBHHOgNJ3Bln4sjPHsdpiach0VBO+p+FOP3Z3yLOhIpIWdlUgGvIiQrxxj5TOg4ZAwreR+c7v+MW3V/f9p84dMN3LZukXfGuy0uZc+bMaaxZd75MWUbR7cbBAxJoswTkoVuWm5d4748++gj33HOP9QAvA9pjXsiUMDSZjlBe6t62bdtJG6ej4G9O0Y0MLJ86qo2IbsETg1HTlrs4zcKKgsqTxowdkQAJtA8C7d7jLSJVkopV2f+78gjeNatJSijJQTNDSWMp7bRO6Hcm0Ne8mxQN5+qTIpJ1E4ErScI/RAxbXmhXv6f9uxTn5z6AGEeltYpkpyuG4vjvnkP0eb3d4SLiJRePd1VVlRXP3ZDHW1+ylL7qjScr6r//iGh5mdJ41yV9c8sE7PvxdOtYRL14u3UTAX7TTTdh3bp1Vn5DP+TrZ3lRi4kESKB9Ejh48KA7DEWmIrSnb3/721YYys0339yCYSh1WPmQ8RrPNT1nLkDF2kk42f52+5ibflyO+cNTMUX+lLYpb33TR8oaJEACkSfQLoW3XWwLMhHD8mLkpk+N2C4uw6f7TBx0IylRQkmMdzv9zBNIiDXhHEZIi7AWsS1eJPUmi6CVc9lLUuEtYlrtSPjyC5xrxHe0EeEm6gRRXbuj/seP4PjdD6I+vqsVniJLzovwlnhuu/DWGG/xpovwln6jPtyImCdzgK2brT5Ni/h6ws/w5a0/ts6ljJRV0S0iXGyU+X8HDRpkPRi4KnrtxFv/6aef0tvtRYUnJNA+CcgL2f/v//0/KwxFFuKxJ1kp84EHHrA85LKIT0RTTRHGx2dgqWk0e1kxXrw9PaLNn4zGipaMR8YEawQorH4R/eNORq/sgwRIoD0QaDehJiJy7ZslgI3g3rq7An96Y7sJJcnHc299FlR0SyjJJanRuMWEkow3oSRXmFASEd0iuEVYi5CVsA0RwbJ0u27yj0lEq5yffvrp1pzb9llIjp7fB3v/uALHho10Cm/zAmSneY8iNrMvYmY/AhTlo97YqkLd94NlXa84iOh/vIDY225AzB3DPaL7jFSU/fa/cOCHE6368mAgtorYlk1EuFyTMQwYMMCK5/RtX88lxlyWp5YXPZlIgATaNwH52yCzKG3YsAH5+fm46667rAd2GbW8DyLTFPbo0cOKAy8pKYkYjPIPVlmiWxrMGtzLq926uhrIBE2BkjOvgcxAFRq8Voe6GrM1mA+Tb+wIkn/hkBtduUvx6gflQUoyiwRIgAS8CbR5j7eKVbvo3n/oiPFsl2OjCSWpOHzMe8S+Z0aQnnuaEdwpQO+kE4iudwptu3dbhKx9E0Er5/KPS/biTZZNkgh+8STJi5ZHjzpfupRzbS/5/bdwxqLfAfs/97LkxOln4GiffvjHlo/x2aGvUGsiZBLMY9Et11yF82uqELt7u4kvkWXoXSk6BtWjbkXZhIdx1HjQpV+xQWxTb7d6yOW69C9bWVkZLrzwQsu7rk357i+++GLITChXX321bxbPSYAE2jGB8vJyyLdsf/nLX7B//373SOVvx3e+8x3Iy94yE1JzUsH8MRg0xYSzZZiXE7d6Xk4sWjgGGZOdYW7zNlXgwcGeAJRdK2ag77jZVreLi6twd3pCmCY4sHBMIqxuskyYy6v+YS5u+zARxdULkR7Qm12KGQN6YbZ5OTQjZxXynxjRhuLUw0THaiRAAhEh0CaFt11sCwURnYeP1uG9EhNKYlaT3HWg8VCS000oSb+zoq3VJLvHeObnDhRKIuJaxbYKbhHd6k1WYSu2iG0S420X3iLARXxLnuWRNuWS17yK0/LMV5Xbi6Ra6KlbAmq+PQaVY+/B4bPOdYeNqKdbvPIiuO2iWz3e2slTTz2FadOm6am1sMbSpUutxTj0BSupIx6vxx57zPL0uwvzgARIoN0TkFC5v//971YYyvvvv2+NV77N27dvn3up+vAgOLDECN8Joq+zzVzjL94O1bU1u1ZgcN9xkIlOgBzsrH0CfWLMYeUGDE8eBuvtlMx5KFv7IIyfJMxUh7UzbsKNs63WsHxPLcb2lE40GUEdZQS1nGYtRtWrdyOwxLcJeGNThbHJ85igbXFPAiRAAv4E2ozwVrEtQ5BjS+CeqDehJJV455MyFJh93XHjJg6SOseY6f/OlLjtepzV1SmE1RMs4lnFtK/QlnO74JayIkxV0Mpek9ilXm/55yWi2+75ljzpU+pIO11Ld6LLprWI+2gTYkt3IPrAfpOvrQG1neNQ3+siHL24P2quHIYjA68z1zpbfWhb0o7Yp4JbHxLUTmlN+tQkDwWXXHKJe6EeEd133HGHZeejjz6Kp59+2i3oxfu9ZMkSDBkyRKtzTwIk0IEIfPjhh5YAP++88/Db3/62eSM38d2TTHz3ItNK1oJ8vDppoFd7Hm+zyZ9n8h8ciBWTojBOKpi0fGc1xvZRqe681tSfNSVLEN9vglXN1wZH0RIkZjjzcvL24InRDXv3Nz85BkOmmyeINvmCaFOpsTwJkECkCLR64a2CW8W27L84eMQS2zIzydfVzllGGgJiAixwfpKZlcQVStLJhJJIUvFrF9sqsFW4NiS2VXCraNf2ZK92itdbvNwivkXo6ibnIph1XFJHyok4lxcs77n7bhzcs9ua+9thIkt+/bvf4YYbbrC8zmKPinztW+yX6xpiomMQ0a1lZO+bZG7f73//+5AFe+TYnv71r3/hbmNHcXGxdVn6fPjhh5Gbm0vvtx0Uj0mABJpGwFGAMYmDIA5vFdbeDdg8zsjEnHlDMH2KM8Qkc84mrJ022Lt4WGf78diAHphluda95+Le8NhwDJsl3vAsbKp6FYMDu7utXosWmhcsJ8sLlo2XDctMViIBEmiXBDyu2lY0PBWvIlBlExH7tYnVXpW/HzOWbcX0F7fijYJ/BxXdyV074dpeMbh7EPDdC2vR5/RaMxWgJw5allDu1q2b34uS8oKkzsUtL1Jq6IaKcRG66kkOJGz1mpSRsiqIdYYR2Ys4lnxJMjYNTRFxXmfG+7Vx3Jcb0S2vOKpwl72Gq0gf2ra9XbXR1z6rI58fY8aMseb3lSXpfdNVV12FLVu2WOEo0pbcAwlPufzyy7Fp0ybf4jwnARIggdAImMmfgmhZ00ZP5OTr36R1btFt5u3Dcz+LhOgWM9Mw7qFsl72z8GaJWTBNUt0u/MMS3eZ44j0YFNxQq4rzRwLMsJhIgARIICQCrUZ428W2HIvYq607jg93HMTvXyvB/Yvy8cI7e7Cn7EiDA4szoSQDzonGrf2jcduldRiQchRdo49bXmIRuxKKobOS6CwkMiOJXWyLGBdRLmVVyIrIFa+vr6c7kCdZjGtIfEu7uolglvalbU12L7j9mlyXNkUE6zikvm9bKujtXnFtJ9D+lVdewdlnnx0oyxq/LLrz7rvvol+/flYZmdng2muvtQQ5Zz4JiI0XSYAEQiRQ5VoTwbd4wsB7sSonw+tyzvpZznhvr6vhn6TfPMEs3eNMLyz/yDpwFL4FmVpc0px7hjbhZckz0ZXK2wmOP0mABBol4FF9jRaNfAG70JRj3faUHTYvSR7Ae9srUHUkeCiJ0cM4Xxa4OSsKPRPqEB3lCSURUStiVfYiSmVTMa3nkqflVFz7CmwZeUMiuyEqWl7bkr3YovaI91r7lTbE6y3hJlpP27WLbRHadvvttks57cu3DW3Ldy/lG0uDBw+2vN+zZs2yphoUO8X7/dprr2HJkiWQfCYSIAESaCqBxAb9xA58+YXzFUtt84tdB4Ch3q8v1jhqEJMQ1wSBrK2ZfcqVEKf3BBMpsm7WP1A6cyg+f/1lV4GJGD3I05c1tWCMWYyswf+Wu/G1/JtqXui5zTgekgAJtGcCjSuvFhi9CmzZayhJ5TdH8fqH+/CLFz8y4SSFWP3RgaCi+8xunTDsghhMGNgJN19Yh94Jx4zorreErYhTEanivbZ7tn292+L9lnK+3m1fERuqkPVFJfVkU9EtQllsk/7UYy02qB1yzbcvHYt6t+1lpR15gJB2myq6fW0Ndi79qPc7PT3dKqre7+nTp3Pe72DwmEcCJOAhYASqK7AD6OK5bD8qXZlrCWL7taUTfojVntkN4ShaiPjEePxkxS57sSYcJ+DmCbmu8nOxesNarFohsd3mXcncbKSryK4pwFj5pnLsEo/drlqeHUNNPCx4RAIk0BiBkya8VWyL0FbBfcyEkrz/aTmeerUYPzGhJEvXl+Lzg9UN2hxvvs67rIcJIxnQCT/8Vh0uPeMo4jrVWaJTBKoIVxGmssCNCm5d5MYetx1IbItwtYtXFc0NGhNihrZjF+DqeRd77ZvYJTbYk114a1m74PZ9SLDXjfSxer8feeQR6wFHvN9PPvkkBg4ciM2bdRXNSPfK9kiABNoNgYSzMcgV47G7tMx/kZrKzZhirSVvRmzm2c5fr/HehRg53SN+Y2OdAdjndleFbAR9+X4zU1MpKs3iOKGklGvGQCO9Jw+70ZqTW+rdOe4yW/VY9DZnGWd1tl2TQweKNhp3uaTM64zjx3nInyRAAiTQGAFvlddY6Sbmq9jWvYhu2Xbsr8Jf39qF+xeaaape34Etu7/CCeP9DpQ6GY9xnzOMVzu9E+66HLgm7RiSuzgXpBFPr4hQEazi3VaRrXsV2xq3LcK1IdFqF92B7GjuNRXg0o+IZQ0TUREuAls2KWdPmi972aSe1PcV3L717G1E8lgYitiWJabV+y2zn0js9y9+8QsrXCaS/bEtEiCB9kQgGf2GOMdTuGm7jxe5Bit+McSa8URKLPvdXRg49C4sn+ga/9IJmLvW6faOS78d1VVVyBnR05lpPNPjU3ugb99e+MEi7zAVV23/XVx/TPCJJZdFfW6yL85jyjxVXYXNf77d56XQOjhcrvuMIT198vy74hUSIAESUAItIrxVaKtnWzyjB6uqkfevvfj5f2/BzL8V4a3CA/gmiGcitXsnXN87GvcOisKIPnUmfts5K4kIT/UC2z3bGkZif1FSwzJEbEudUy1aVXzrXkS4XYiLmPYV0L75p0pw6wdG9zKvt8x88vOf/9wag9xjCUeRmU9kOkImEiABEvAnEIdLr3b5mdetxceVnhLlG+a75+vOyFmD29MlaDoOYx9fYyYWdKZZN05HgRG8zlCTRDxboA3EusVvoqfJRo+uue0hrzJZ948xc57YkwPPDk5E/B8K7BfNoj5b8HKe81LGRb3CizP3bpFnJEACHYRAxIS3im17KMnR2jpsLC7D7/6xDQ/+tQD/s/Fz7K+oaRBtt85RGJgWjdsHRGPcJSaUJKUWnW2hJOLZ1lAS9WrrXr3bvmJbvcQqclX06r5BY1o4Q/sXu+zHvt1KnpbRvZb3LXuyz8X7LS9ayswndu/3NddcQ+/3yb4Z7I8E2giBXkNGuizNw9tbyl3HDrz+++mu44lYnDPcM5qU4Xh2mdvtjY07VGx7itQd2O1a8dJc6xL6FCNx/W9Crk5vYuY5ued7/TyNuo66nGGiSXxenCzf8q5zJU1TJiuzr18dXiABEiCBhgh4AuQaKhHkuohtTSq8Zf+pCSWRpds37ziEI0eds4xoOd99tBGWF5hQkn6pUTjXeLVxwhlGIuJSvLuyaZiF7sV7rYJa9loukDdY2pGke9/+W8O5CulANgbLaw22iw3q/Z45cyb+8Ic/WDO0iPd75cqVWGJmPpF5wZlIgARIQAjEpV9rFoSHtSz7itfykTN8hPEYJ+DuV2vxI/MtaIx5oPf9x5R++0LU3jIPdeYbzzizOYrsLOvw1tyZLuGdhZxb+9szGzmuRbVGpmTej6Fpvj0Hql6H919b4cwwoSnXeC05H6g8r5EACZCAh0BYHm+7yBYPt4QZHPjqCP7+/uf42eIt+M3Ln2Ddx2VBRfdZCZ0wvE8M7r0CuOmCWpzX/RjEGHsoiX1WEvVsy15CTCRPvNsatx0olMTuIfYMmUctQUC93xL7LcvMS5LYb/F+5+TkMPa7JaCzTRJokwR6Yuy8LMvywrnLUOz+EtSI6gCiW4coglxEt1/a/xamz3Wq55xV8zA4ya9EgxcqN79sPQBIgan3fxshVa0pxHJXf/6hKQ12xQwSIAESsAg0SXj7Cu7qo3Vm6fYv8fjyTzDl+Y+w4v29+PIr919RP8TdTSjJFed2wvjLojG2Xx36nXEMsWbebRHI4rmWP7oipu0zkkjstpz7hpJIWbvnO5C3288AXmhxAldffTU++ugja4l5ua/yUPY7s+y9zHzywQcftHj/7IAESKD1Exh424OuuO2l+Nvbpc0yePVTI53e7uxlmKUvW4bUYg1W/UnDW7Jwy419QqpV+uaLWGqVzMLDTfKuh9Q8C5EACbRzAiELb7vo/uTzr/Dsqh34TzMryYJ/foZte6tg5ggMiCqmUxTSU6Ix5lvRGD/gBAan1SGxc60V+iHebRXb+qKk/SVJu3db4rulbEOzkrSFkIyAgNrhRblPTz/9tDXziXq/t23bBhHl9H63wxvOIZFAUwmYuO1fuWYUmf3kOp/ZTZrW2IW3rEJe3hrsee72pq1h49iKOU4FDWRn4+qQ3N0OrJ7rXN8yI/dh3zV9mmY4S5MACXRIAgG+t/PnYBfdh8xqYY8v3wazzqR/QduVNFlN8kygbzIQjWNWjnhAO3XyxG1rWIk9dluu2TdnHf85tqXBQDHRNhN4eIoJqPf7V7/6FZ555hm391tjv6+88spTbCG7JwESOFUEhj+Rj6pHHIiNT2iaYPYxuM/QEQjNV+1TMWEA/lGYb1adjMXZF/bziyv3Ke06TcC9b1ThVrPcREISJ+8OzIhXSYAEghEISXhLAyK+JWygm3lh/JJzu+OTva5JTG2tJ3Yx3u3UTrj4jBPGq11n1RFxrGJbBLWKbNlrqIgc+4ptCR1x1vXM+qFdUXArida/V+/3LbfcggkTJmD79u1Q7/e0adPw6KOPWt9itP6R0EISIIHIEjCvVCaF5GYO0K0uexnyv7AAbcShT/+BAa77XzpkuxQTl4Akn1lObNk8JAESIIGgBKKMoA7qulZvt4juuro6a3nw9z49iP/e8KXVcIwJVrnIhJKkG+/22d3MrCSmORHGsol4VkHtK7RVgGu+eLbtcdpyLklFtu6ti+3khz7MHDt2DIcPH0aVWRBi5MiR2LFjh3uEixYtwqhRo6wXSkXECjfl6y7URg6qq6sh3u+55qtaeSlX0re+9S0sMTOfXHGFecuWiQRIgARIgARIgATaMYEmxXir+L44NRYXpnbGqEu6YNLgGAzvVYdzjOiWVSZFSIsnW+fb1hclNXZbX5S0z0oi5WWTuiK+g3m72/G9aPdDkzj93//+99iwYQMuuugia7yffPKJNR3hL3/5S8gDCBMJkAAJkAAJkAAJtFcCIQtvAaDe7044gR8N7IpLUoDYTvWWUBbhLB5ZnQJQBbdOA6hTAEq+lJNN6miYid3b3VY9uu31QxLpcckUgzLzyUMPPWTNaCMPdE888YQ188mHH34Y6e7YHgmQAAmQAAmQAAm0CgJNEt4iiDUkRASzzDAiXkwR0yKsVWTrXqcA9PVuq9jWFydVaOu+VZChES1KQD43stjO+vXrceGFF1p9ifdbXsik97tF0bNxEiABEiABEiCBU0SgUeEtYliSCm4JB1HBrVMAqtDWvQpuXeDG17PNUJJTdLdbYbfXXnsttm7d6vZ+y3sE4v0eNGgQ8vPzW6HFNIkESIAESIAESIAEwiPQqPCWZtUTLYJZvNUaUqLCW+O25VzFtohzX8Et4l3bUkEfntms1Z4IBPJ+f/zxx1bst7yMydjv9nS3ORYSIAESIAES6LgEQhLegkeEsgpv9XiLyNYwEhFPvmKboSQd94MVzsjV+z116lTrGxbxfv/2t7+l9zscmKxDAiRAAiRAAiTQ6giEJLztXmoV3+LNVqHt69lmKEmru89txiB5gJPFdt555x307dvXslu93zNnzqT3u83cSRpKAiRAAiRAAiTgSyAk4S2VVHyrF1vEtc7BLceyMZTEFy/PwyVw3XXXobCwEFOmTHF7vx9//HFrvu+CgoJwm2U9EiABEiABEiABEjhlBEIW3mKhXXzrsewpuE/Z/WvXHYv3WxbbsXu/i4qKMHjwYND73a5vPQdHAiRAAiRAAu2SQJOEt52AXXjbr/OYBCJNQLzfMvOJeL/lcyex3/R+R5oy2yMBEiABEiABEmhpAmEL75Y2jO2TgJ2AvMjbkPd71qxZjP22w+IxCZAACZAACZBAqyRA4d0qbwuNaojA0KFDLe/3gw8+6PZ+P/bYY7jyyiuxZcuWhqrxOgmQAAmQAAmQAAmccgIU3qf8FtCAphIQ7/e8efOs2O8+ffpY1eVFzKuuugri/a6trW1qkyxPAiRAAiRAAiRAAi1OgMK7xRGzg5YiIN5vEdy+3u8rrriC3m839HKsXDgfT85fgoLyOvdVHpwsAnUoWLkETz45HyuLKk9Wp+yHBEiABEiglRKg8G6lN4ZmhUZAvd9vv/02fL3fjz76aIf3fpdvWICsyVMwfcoE7D2iTB0oWrsSL720Aht2UQwqlZba7319AqZPn4KsjD9hf0t1wnZJgARIgATaBAEK7zZxm2hkYwSGDRtmeb9/+tOfumO/c3Nzrdjvjz76qLHq7TS/Ev/4/Szn2KbmYVTPGOexYxum3JiFO+4Yh2EPr0JNOx196xhWDEZNW+4yZRZWFPBBp3XcF1pBAiRAAqeGAIX3qeHOXluAgHi/58+fj3Xr1uGCCy6wepBpCCX2+9e//nWH837Xla7B5Dwn6Hnjh8IluyNM3oGXJg2wHnYeeqkkwm23jeZqSpZY448a8BCKAjzFxPS5HvMynWOZ8uIGMOCnbdxXWkkCJEACLUGAwrslqLLNU0rg+uuvt7zfDzzwgCWI5GXL3/zmNx3O+128zqW6MRE3XZLkuScJA/Bc/iasWbMexc/egjhPTlhHjgOFVr3dB92xLGG101Yr1dYedZpeuBtHAr7Xm4LMO7OdZeYuR3EAcd5Wx067SYAESIAEmkaAwrtpvFi6jRDo1q0b/vjHP54y77cs8lNT04BvM1ie8YfW1dSYRYKaC7ocq15Y6mxk4nfQ10tdx6HPwMEYPnwo0tO8Mky/3n1Xlu/H/v37UV7ZkFr0GFpVE1B1eg2kprLcam///nI4GmzSm53TBlPe05WnzRoHysXGcmkvUAFb0VD6NsV9+Ttc9crLHZ7G7Ef2YTdgwoVDbnTVWIpXPyi31+YxCZAACZBAByJA4d2BbnZHHGow77eEobRIqinA2NhYxMfHYpJv+EVdCSa58sYsLPDp3oElY2IRGx+Psc/65vkUbezU8RneW+cslPP9a3zCTKSfKOvbgDELi9wtOYoWIjY2HrETlmBXyWpMGhCF5NQe6NGjB1KT4zFg/HzscotlE2IyXtpIdoezrJs+xBlyYVYXHf7YWne7clBp2ntoeBTik1Ot9nr0SEVifBTGzHgJ+73EqrFtrJPdwg0FWGLCWJw2mPI3LYRb+taV4qUZ4xEVn4hUsTFV2ovF8EnzUeQze0vofQMWA8M/dsJLKC3dYNmc6LI5NTURUcMfwob9Tgg1Rc4Qk8RBk11jzcOQZCfXqKjhWGuzIy49EzkZzmIrVuUz3MRFjDsSIAES6GgEKLw72h3vgONV7/fatWu9Yr9l0R0JQYn4vN8xp6G3i/OiV97xiEVzraZ4Exa58vKefQtevs/Kj/CCRod0ad6NqtnzEbSpi3olNNzYUbu71lVs6QT07TcSi5wRJO66hUunoO+PlrjH49jnzvI7WLe3wi0uKwsWItm0N9f1IICMTLg0KPJm34EeN8335uBqbfKwQZhgNyLRBcWI7scG9cIds10efVvv6xZNQcYP/+q2Mdy+sfQO9Oo1zGOz9rFuLob1+DEKzBNAbW2VXg2wX4eKKvsTRTJ6uj4UhZu2u+0LUJGXSIAESIAE2jEBCu92fHM5NG8CN9xwgxX7/ZOf/MQd+y0vXcrLlxH1fsf0wS25rrfp8lZhm20iix3vrfEYVbgM+bb55cq3vA3Vprd++xJPuTCO9hSpxzwbGT2CCO8gbWfmLMOeimpU7duEqW6l/AzWlYqgTMBdfy9DRVkx5riGmpGTh7KKMuzbtw8V88a4vOyleMrtEc7C8sIy1G9di621ZcjLzXL2vm4KFqy1gfCyKQPzjIe4OH8Nlt+TgViTV/LKE5jleijImLgAO6tqUW9EcOGaBbBMOXTUJfqb2zcg7ReXVaG6YicWTFQIS5H7UhESMiairKwCO1fNcVmcgbxiYbIP+8z1MX3sYTwJuOwa13jRzKcqLz48IQESIAESaEsEKLzb0t2irc0mIN7vP/3pTxDvd+/eThekTDco3u9Fi9QX3exucNnNY1yN5OHNLerXrsR7q+xe2kL888NSV7k65L+1wnWcg2u9RFvT7al16IuO7uCMJjWSNWcN3nzidvRMikNC2mDMWjTPVb8Qew4524xLSkFSiglDSXRm9TYu3RRzLS0tDUlxMdbFys15mO2qOWfTYoztn+I8i0nB6JnPItelZVe8Vuj2kLuKW7t5m97CgyMGIn3gcIwdPdC8CFqKF+7Q+5RjFgeahD4Jpq+YBPQfPglrq8qMEB6PJFO7uX1n5q5Cvmk/PSUBcUl9MGneUmS7jMtb9R4cMXFISUkyoTOnua72xrm9hEka0sx1JwFXltl1Pc31ALRuFbaHd1s8jfGIBEiABEigTRKg8G6Tt41GN5eAeL+Liopw//33W97vEydOICNDPZrNbd34gy/JdIu0Fa+5Ynort2OVxn+4upj7+gfOebRN+MQ/ZzvduJm5I9Gz+Sa4WwgQTOLOC3yQhVkPDvcSjkkDPOMJXMdcDRC2snuzJ9Y77theEzteZHEX9rtKvkC1q7HCrf7hFxk5a/DgYJdQ104dh7DNdZw5J8ufU0IK+qSJ7Aaa0zeQhacfGeHFAHH9ME5d/3kF2OOKd/fi63XiMtRvl2B57v0u8wIJkAAJkEC7J+DrlGn3A+YASUAJiPf7z3/+M8aOHYuCggIMGTJEs5q/d4m0pXMLUTj3nyh9ZgRSt7/jjLvOzMHyO6sxbsJcYFEedvx5LPqVboY5s9KYmy9tfv/NbUEEpD1SAiEpSr9eY7t4wlymDMvAFL8SrguH/DN69zzd/6KJNdEWM684zz/fdqU5fVvN+DGIwbnWtyTygNQVsWH/9TwTXSVmhokESIAESKDDEQj7X0eHI8UBt1sCmZmZkC2yKQZXfG8sYIS3+YHNpblI37za2cWAb+O7Nx+zrgNL8d7OZ9G1YJWre585t11Xm7NrLRovc2ouRiQbx7jfYKqRajzqKqjd2f4F3VnOg9BH1uS+fXrS09qaKtfhQRwRd72f0Voy2H43vvYT9cHKM48ESIAESKC9EKDwbi93kuNodQTSLr/BetlPXph8Z/U/sXet89XJnP9IR5yJoMgx1yX+eeOb/wQ+WOq0f+rNPnNuOy839Wft0dYRROyxIwvznpqJ/s39i2MEq45s3YefYeZwn1AUG6hm9+2n62uwq8j1+mvGRTg7LNEtBjLUxHabeEgCJEACHYoAY7w71O3mYE8qgaTLcKdrIotFk8dhuhXfnYFhGanGjDSMdM18snTKOEx26e7c713tHVdsSpasXogxZk7tKDM/tswPPWPhBmdceJDBnH3pIFduFcoCrjwTpHK4WV38lCo8duTh+Tf0RdJwOzD1YrviLFf1dQaob4t15SVYu3mX9aJm8/rOwzOLNngbWvkB/st1n5DRB8Z575/8EbjKOFC00VU58zr0Dlu0+3fJKyRAAiRAAm2HAIV327lXtLTNEUjA0OyJ3lZnjEVGmtPte+lNOvOJFsnCTVd6e3D3r30M/UZORl5hFnLn5SIrYx1mTx6GHy8p0koB98k9+7mur8P2L9RHHLBoMy/W4agr+iJv8vMoMKs7lu8qQMEuZ59p14xxv2Q6N2s0Fq4tca9AWeMoR9GGFZgxfhJWlIRoY1w67tH5C833BaMnLUSJ6bOmphKbVz6JQan9cOPsDZbwbl7fGVg6ZRiGmwV+Ss2qnY7yAjz2g2Hu6R5z7rjBEwKvS8abCP6F/1NgbClHweYC2NbPMYzr4HANMWNIz/AiVJp5p1idBEiABEjg1BOg8D7194AWtGMCfa75vnuxGBlmxtgbjK/bmZIuuc7MnWFL2bdigJcntBIrHp9lCmRhU8WrmPngTLy6cZMlZJdO+Juft9fWEuJ6XOwWvK++s92eFdJx6K9SJuHCTJ0NZq4RvmYlyb6DMKjvX1ApPcX1x+OrJKhGUiEm39gPibFO7318Yioyho3D7KWL8NnX9sVmnKUb+jn4x7PdYytcNBn9TJ/x8ckYkjXd9GCSeRCw7G9W31ZLWGcW+OllVu1MTB2EWa4oE2TOwQMj9C6awJHzLnXf40UTBhlbUjFoyAR4PUtUbsHLrhltMi7q5fetRkNj5XUSIAESIIH2RYDCu33dT46mtREwc2Dfb1PX99pnLEm4BNnuRVlMzPcd13q8qDKOmt2QsPCM3Icx2DlDnlF5gzHRClHZhi+DOYnjLsRI16TT65a9E3BlSAtVgPCQwDHI9hgKp8deUQ+f+jJ0LRy9lr14pDWXtpz3HPEE9m1ahuyA769mmvEsww8u0QFqC2Yf0DZzPWkwFpflIzdbBb+nTnaOWfDm79luj3LYfZuHncV5xmZP09ZR5tQF2PPGNPfDk3UxZbgR1bk+JYfg9HjPpfIt77q95VmZfT0ZPCIBEiABEuhQBKLqTepQI25FgxX0x48fx7Fjx3D48GFUVVVh5MiR2LFjh9tKWdRl1KhR6N69O+Li4hAbG+uK9Y1yl+FB6ydQU2MmfY6JQZzZfFOdyasLkFe3fzUG9RiJ3gvy8eqkge5qJUvGo9+EQqzal48RrrAVd6btYP/qGegxUl7fNCsqmrKj7WXr6lBjnMxxroVutJrYArMwTAAzTbRE4Dpa11FZbrUZE5eApASvuQi1CGoclahwmOlAzOc43pRLMOX8iDTSj7sxc1Bn2iuz2otHQlISZC2dhlIofTuKFiIxY7JpIgv5ta9iYEwdKsvLUG1c6PEJqWZcQTqoM2E2JizFALRs8aCtw8qHBiFLZrjJyMW+rTO9hXtDBvM6CZAACZBAuyMQ5L9IuxsrB0QCp4yAPDQ1lGJMXqBfxOovt1uhE72Petfcv32pdeGbagnPCFTTWT7t2iwjH2ebyONCLH+zGKPv7u9pyBL6nlM9ElsaTA3U0fIJZtVKr0gZzbDt4xKSkGa2oKmRfux1Y0Jpz1UhpL7tjVvTBcZYK1E2YrGzllk9M8WscumXagx/a1pJI+fvH0PR7QeIF0iABEig4xBgqEnHudccaRsjENv1zIAWp/SUAIgMdI9vWHRbFU1YysM6c0ojMeEBO+LFiBAoffNFM1u7pCw8fKvt4ScirbMREiABEiCBtkSAwrst3S3a2qEIxPVKN1LNvCtY4/2q45Gv95mrvYOHPbhIDZ08zfXi32ysLgoWFN6h0DY8WPcMJVVhrtXp27QDq+c61ySVWP2hIbnOfdvgOQmQAAmQQHsh0IjLrL0Mk+MggTZIIOY0I6/NupfT/we7pg1GHxlCXQmen269cYnzAkQ1+I0yZQTyq6vgqI214qn98nnBi0DCJWNRmH8damPPwCWh8PWqHegkAfe+UYVbTdhKQlJEGgzUCa+RAAmQAAm0EQIU3m3kRtHMDkggpg9+ZOasnjt9Lm4Zfw4eu+MCbFowDosMionTx4UcK2y97BgkdLsDkm14yHFp6D/QM1VgwwVDzyH/0FmxJAmQAAm0dwIU3u39DnN8bZrA4GlLsfjf2ZgwdzqynIHCmDhvDebdnt6mx0XjSYAESIAESKAjEqDw7oh3nWNuQwTScPcza5E92wGHmcUk3szi4Zmmrg0Ng6aSAAmQAAmQAAkEmYuMcEiABFoNAYYrtJpbQUNIgARIgARIIGwCnNUkbHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE4gJvShLkgAJkAAJkAAJkAAJkEDbIlBfX9+gwVFRUQ3mtUQGhXdLUGWbJEACJEACJEACJEACp5SACm7ZV1dXY8mSJTh8+DCys7Nx1llnwS667cctaTRDTVqSLtsmARIgARIgARIgARI4ZQREdJ84cQL33XcfHnjgAUyfPh3p6el48sknUVNTY+VJGd1a2lAK75YmzPZJgARIgARIgARIgAROKgEV0sePH0ddXR3efPNNd/8OhwMzZszAgAED8Nprr0HKiDjXOu6CLXBA4d0CUNkkCZAACZAACZAACZDAqSUgYlpE9bFjx5CZmelnzM6dO/H9738f3/3ud1FSUmKJ75YW4BTefreBF0iABEiABEiABEiABNoqAfVcy16Ed21trRVaMmnSJHTu3NlvWOINv/zyy/HII4/gq6++surY2/Cr0IwLzX65UgxjCo+A/abqsW9Let2+9y3DcxIgARIgARIgARIgAQ8B1U3q9ZaXJyXGe+TIkXj66aexceNGT2FzJOJ87ty5eOmll/D444/j7rvvRqdOndwvYEbq5csmC28ZiCb7sV7jPnQC+qGw7wPVtueTeSBCvEYCJEACJEACJEACTgKqm+xhIyrAZTaTJ554Aps3b8Yf//hHfP75517YysrKMHHiRCxatAh/+MMfMGTIELcAF/HdXAEeZYzzKGmvrr1PtJjsP/jgA3zyySdWELp3KZ41hYCwlE2C/o8ePWq9XStPWwcOHHA3c+edd6J///6Ii4tDbGwsoqOjrbzm3nh3BzwgARIgARIgARIggXZGQPSVim3xZovOkk3iveVc87Zs2YJ3333XyvNFIFpr9OjRmD9/PtLS0twCXMqFq8OaJLz1yeHnP/855s2b52sfz0mABEiABEiABEiABEigXRFISEjAL37xC0ydOhVdunSxBLgMMBzxHdLLleqZFeEt3lnZM5EACZAACZAACZAACZBAeycg0w/+8pe/xGWXXYbS0lK3DhZ93NQUkvCWRtUlL+55eUOUiQRIgARIgARIgARIgAQ6AoGMjAz86U9/wjnnnGNp4nBEt3Bq9OVK9XbLXsS3CO+ePXviuuuuc3esneu+I9yASI1R+crDjGyffvqpFeut7ffu3Runn366FdstX2nIG7ZMJEACJEACJEACJEACTSOgmkv0rBzLXuK+9+/fj6+//jpgYxJmIiHWssx89+7drcgP0WL2GU8CVmzgYqMx3mqkhJhIQLqsdS/r3Msmx3JNBKMYz9Q0AnrT5WFGli09cuQIpk2bhr1797obkpstb9TGx8dbc0/Ky5UiwMOJK3I3ygMSIAESIAESIAES6AAERGtJUs2ljs5vvvkGL7/8MlauXGk5lX1RiN6SFyt//OMfQ4H51OAAAB+JSURBVGZCEdEtW7du3aw475iYGLdT1LdusPNGPd6+lVXwqfiz733L8rxxAnZ+ytZeyzfffm4vx2MSIAESIAESIAESIIGGCaiGevvtt/HXv/4Vhw4dClhYlpK/77770LdvX0toSyGtG7BCEy6GLLylQ3GryxOArPojHnB5epBzeXrQJ4om9N3hi+rTl3i8ha98ayB7exLW4u1Wj7c8YUXq5tv74TEJkAAJkAAJkAAJtCcCqk1FX8lWXFxsLZJTVFQUcJji2b7rrrtw9dVXW15tmcpZZjGRTfSY3cvtq9cCNhjgYqPCWxtW0S1zSatAlGMNM9HBBeiDlxogoMJbwnWEpTK2FxfBLfFFXbt2dX+1QeFtJ8RjEiABEiABEiABEvAmoLpURffy5cuRm5sbMDRaBPYtt9yCMWPGWI5OEdpyTTSY6C/Z5FzEtzicw43vFgsbFd46DBF70pkkORbVL4bR262Emr6XD4XwE4+3CG/hKjfTnlR4S0yR3HR6vO10eEwCJEACJEACJEAC3gRUdNt11l/+8peAovuGG26ALFaYkpJiaTHRtqK9dBPtJZtcF60mOkyFt+i2pqaQhLc2rKJQzkWEy4B0a2rHLO8M9BfhLR5vSXKsrJWPPF3Jk5YG86tA9y2n5bknARIgARIgARIggY5MQIW36CoJjRbNlJyc7LUy+EUXXYTJkyejX79+lpAWvWX3dAcS3M0V3XJPQhLeUlCFnohv2XwFtw5SyjKFRkCYyYdCkt3rba8tN1k+DCK4dS/3Qu+HvSyPSYAESIAESIAESIAEPM5NYSEa6+mnn8bMmTOtGeS+973v4aabbrK0lOgs0VgqtHUvIlx0l+SLs1k21V/N0WAhC28xXDsUwejbKYW3EGpaUmZ6Q/WrC3sr+qCjZew33l6OxyRAAiRAAiRAAiRAAk4CEtutelU068UXX4zFixdbU2GLEJckmsru6daQEnV0qvay6zNf/evsLfSfTRLe2mygTgNd0/LcByYgHwjZVFzL3jcJV3u+3nzy9iXFcxIgARIgARIgARJwertFJ6mGkr2IaI0ikL1cU9Et3m3d7HHcds0l5SORwhLekeiYbZAACZAACZAACZAACZBASxAQoSybiGcV3OIFFwEuSb3dIr7Vwy2iW663hODWMVJ4KwnuSYAESIAESIAESIAE2jwB9U6LgFaBLYOSY323To7Vu20X3Cq6pby2I8eRShTekSLJdkiABEiABEiABEiABFoNARHOIrAlybF4vjXuW0W57iVfjrWsddACPyi8WwAqmyQBEiABEiABEiABEjh1BNRbrWJa9hJqokmFtuztm+a31J7Cu6XIsl0SIAESIAESIAESIIFTRkDFt3i9dTILNUbFtv1cj1tyT+HdknTZNgmQAAmQAAmQAAmQwCkjoOJbDLAfBzo/GUZSeJ8MyuyDBEiABEiABEiABEjglBHwFd2nyhD/iaNPlSXslwRIgARIgARIgARIgATaMQEK73Z8czk0EiABEiABEiABEiCB1kOAwrv13AtaQgIkQAIkQAIkQAIk0I4JUHi345vLoZEACZAACZAACZAACbQeAhTerede0BISIAESIAESIAESIIF2TIDCux3fXA6NBEiABEiABEiABEig9RCg8G4994KWkAAJkAAJkAAJkAAJtGMCFN7t+OZyaCRAAiRAAiRAAiRAAq2HAIV367kXtIQESIAESIAESIAESKAdE6Dwbsc3l0MjARIgARIgARIgARJoPQS4ZHzruRe0hAQ6LIHKopV4cVUJuqSPxL2j+6M1/mGq3L8LB6pqkXhWX6QltUYLO+zHp/UMvKYSu/YcQG1sIvr2SQvtcxxOHb8R16Fg5VK8VVKF9JHjMbp/kl8JXiABEmgdBOjxbh33gVaQQAcmUI7nsrMwZfp0TF63u5VycODFkX3Rr18/jHwuv5XaSLPCJ+BA0dqVeOmlFdiwqzLsZhzbXkRf8xnp1zcb+Y7QmgmnTqCW974+AdOnT0FWxp+wP1ABXiMBEmgVBCi8W8VtoBEk0HEJOAr+humFMv4MLJ86KjQv4SnAldjb2WnvuNhT0Du7bFECjm2YcmMW7rhjHIY9vAo14XYW28VVMxEhf0rCqeNnXwxGTVvuujoLKwrCf3jwa5oXSIAEIkqAwjuiONkYCZBA0wjUYd2LU5xVMu/HjT0ZwtE0fv6la0qWICoqClEDHkJR2ArSv11ead0EYvpcj3mZThunvLgBda3bXFpHAh2WAIV3h731HDgJtAICNcVYPtdpR/Z914ORqc2/J7W1R52NFO7Gkdrmt9chWkgYgOfyN2HNmvUofvYWxLXJQacg885sp+Vzl6OYD11t8i7S6PZPgO6l9n+POUISaBECdXXynz0OMQH+ijjzYkxegEybNeUfrMJS13nW4F62HJ9D01d5ZQVqjZCMjU1ASkqCTwGgSfbU1VnhBHFqX53DtO8w7cciITkFCWEoL0dlJWqqq1FrggwSkpNMG4HH7mtnZfl+VMu44pORkhS845D6sIvtRt2edagsL7P6NxYgIdWMPbDZ3nzNC4H7K6qNzeZeJCWYvDrLw+rm6Xt3hLexJa4BJubuocZ8nGJMfgPdu/oP8JmqcaDSUWPGYMgbe5KMPYHa8OLuY798jvsMHIw+vnbbz0Psx13FFWviqCyHw9xgZeXOb8JBjWmjQj4k1mer4c/nhUNuNGWWWturH/wB/YemNKEXFiUBEjgZBOjxPhmU2QcJtDMCRQvHGAEcb7YozN/sHU+6a8UMV14slpQEf8Psiy3vOclk5OKaPoFEZyVWz38IUaav1NQe6NGjh9knmjCK8Xhps+cVsqbZ48CSsbGIjzX2FZVi85IZpv1EV/upSIyPwkMLQ/yqvq4cqxc+huEDopCYnIxUY1+PHtJGLIZPWohdPl5HR9FCJ5sJS7CrZDUmmXrJOq7keAwYP9+vDkLso6bIGWKSOGiy69OWhyHJJuREwk6ihmNtuV2FO7B24QwMiIp192/Zbe7n+BlLUBrE7oINCzHAPCRY9yI5EfNemWfG5OQ5P1BssWMzxki+YTLppZIAvwkOLBzjzI8dsxDenyZn8YL5rs/b2KXQT1R50Wo8Nn44ouITzRhS3fbEmrEuXLvLqx87d1/7FxZIi+YzMcbJaszCIq+6TenHUzEBZdvWYsZw+Vx4bIsaPgOb99vvg6dGoKNK8xl5yLQR72rD+dmKwpgZLyFQM3HpmcjJcLa0YlU+w00CQeU1EjjVBOqZThmBEydO1NfW1tYfPny4vqysrH7nzp31F154Yb35TLi3RYsW1e/du7f+q6++qq+pqak/fvx4vdRjIoFTSaB65/J68//d9TnNqd9Z67KmYn29CTN1Xs+cV18W1Miq+sVZrrLZy+qr/cpW1C/QfFebmZkZ7t8N+T2Zs97ZQ9PssfWrtgbYZy8utFnkqZM1L999vXBBlpc99t9d69hnXFWFC4KXFzuyFtdXuXuorw+1j6r8eUHbXr5TCVfUL87We9fQ3nZPjS3B7F6w5h+ez8LUvHr9KOgQ9uRNddu1oNA+Mi1RW78mR+9rRn3ePr8W6nP0/iib6vz6LL3WwH5ZsY63EfstmwLf3/oI9uP5bEyst2PwsM2qz7fhqcj3+axkZHo4y5gD/n5VeX5nTH6FIuaeBEig1RCgx9v8NWQiARJoGoG4PmOxeJ6RPlaajYefLbCOVvxiGNa5ri5/biKCftFdswfv5zkLZ12X7hdXW7r6KUx25Wfm5qGsth5r125FReFyaM/TH1hgTZ3WPHsysGBNMapMmMjO9QvM3CrOtHTCkyG+nJiJOcvXY19VNcxfdtRWFGOO6yU3LH0F29RF62rXvsvMWYY9JmSjat8mTNWO857BulJfr2jjfSRkTERZWQV2rprj6iIDecVlqCjbh33m+hjXNwqlK3MxQaIRJGXlIn9fFYzURVVZIeZlOy8D5p7+1dvzqzmyz5i4APk7i7Fm+XJcabys07Xe3OdR6DVeB9Y97wriRw5G9PcPETIBJrjytvtdzRdi+ZvF9q5QU7TOWONMU+/JhL2FzIlzsL54H4zENuxrUZyX6677ypvb3Me+B172n9H4/CNh9zN1MYrLqlBdsRMLlBEW4cm/N8zWaWspnnJ/c5GF5YVlqN+6Fltry5CX6/r0r5uCBWs93/o46yXgsmv0t0NnWPEdPc9JgAROKYFW8wjQAQ2hx7sD3vR2NeQ9Hk8kMuvnzMtxezYz52xqfKRVHq+l3YvsrFhRb2ZocLYXwHNXtibX1ZfxkO5RD2mo9ni8m0Z51q/a4/GMSt+Fi7Pd4/B4aD11vG2t9fPwShvVNs/2Mren2dvzmjVnjVfdik0ej/W8fLuvsml9ePo2HlTvoRnL9tXPyVAvd3Z9oW9+bXH9RLcHOade0Xq8sqZu1gK/bzI89wP1Oav2CQJnKlvj/gbEm5sW0L3t3mXM8Wp//ZxM1/3Iqt9k8wjXVut91zZkb/P4Tlzu/halMfulnn774mtnuP343l/xnhvt7RyLeu7FYvdnxePxtn8W5myyfxZkjPvqc133MGPqKq/PkOQWLtDPrzcvyWMiARI49QTo8T6ljz3snATaMoGeyMlf4BrAOkyf4vZL4rmfDW58YMbRaPdeelVw7Mbada4riV1wYFcJioqKnFvJLnxmvMTOVIg9h9TF2nR7subNwoie3rHl/TLVYwhszN/j6qehnedlwBpHJcr378f+8krs2V3qrnDwa7XVfckcZGHWg8O9XgJMGpAJt1PUXtSU0pcFQ+nD/m6ledPTOzm+xHvWnOlAZu5E9PceunE+p+OeOTr+bfjSz/RMrHpukt83GSnXjHHbPnvZ2+55sHe985r7G5DsLHXpe5vkPOuJsfoNSuF0vOP2+O/CP6a7PggTszHI9oGRFzGtZF68rTQvH+437MvL96B0t6v9HYfgZz4C2++qEXAXXj/+9xdxGRinX2vkvY89PnH09s53b17rPo07tte8D+D67JvfgV0lX7jHVbh1uzvm3V3BfZAQ+lzi7jo8IAESaGkCFN4tTZjtk0A7JpAw8F6s0re5XOPMWT8LfVQphjh2E+zgXdIuyvMmm5UA+yEjI8O59euLIeNU5AM1tqqRsCcm+Twjz5ypa/eu3nb5ndWhZPVCjJcX4BJdL1emJqNflsc+vyp6wWa385LfBVfJZvShfenexnXAgDS96rOvcp2fha5+URjmJVRfsS6l4/pjQq6L2tL/wnvlctGBt5a6wkwy5zU6R3tGluexY+lq59OBo+gtaKDKnOzr3Q8g0npdZQkWzhhvvXibrC8wpmZgtuvBQsr4fwwbsF8KN5DC68c05nc7Y3Bu796uXroi1t84twWxXTxPGFOGZZjVMF2fffM70LffEM8YD7mrBDg4M8D9C1CMl0iABE4qgSC/+ifVDnZGAiTQJgk48OUXNqVjxvDFrgPA0KbNyN3YOn+5c0zc8lHX/NRenFIx8iKPSBGxFwl7tIsDh77Ww4D7goUTMGjyUndephGPF/Y+EwfWzkWeNxZ3maYetFQfByuOBDblqKq5I9b0jX7B94Fr4ZpxdwKzxDu9Di+/U4rh/7ELz7pi9Cfed1Ojc7TH9Lzeio0XB3fes2+hctJAbH/1ZVdvEzH6StsbA5UFmJA8yD0VpfHfI3vihTDkMXeRq9MG7GzS5Qj3U1tT5er+II6IO97+0W3AsMypuRiRbD7+fvnVSDXfkjTcxG58LeI/0IOSX1u8QAIkcLIIUHifLNLshwTaIQGvF/Vc41s64Ye446atGNGQQ1U5GFGgQSLwfQ/Mlpe1oBgzJ6VrraD7JtvTxc+li5p9u9zhEYMuPLvh/moKkKuiOzMXhX/PQf8k55/UupIBiO03oeG6oeZEug8b131lgYX3sS7ilZWnBjOveah2mnJx6TfBxB5jlqm6KG+1CT0ptVoRUfzD74Ry/1Iw+r6JmL5ukel+GdaUfBvFlpA3L3Pm/BDpNgFZ9EquW3TnLC9E7tj+Lu92HQYciMWECGnvZvXj99GqMQ+lrrCZjItwdsOKGbVH9TcjC/Oemon+Yf2nZqhJEz6+LEoCJ40AQ01OGmp2RALtjEDlZkzJcgUCZJlZLsyMIM5UiJHTl3hEdUPDTjgbg1xhv7tLy7znHLbl5U1+wUi4EFIY9uRNfhJrfSZE/mDlf7k7Oy8tiDoypTR36tR73aJbKjvMojSRSs3qw1f8xXfFWS7D1k1/HiV1PlYaob9ouku1Zo6E15cJPkX9T9Mw7iFXuMjSyRim4UDZ9+Eam7Pav57nSvp3fuiaVaYQ4/oNwixX1v23XekpZB0plRxMcotuyaiEmUQkgincfvLwzKIN3nZUfoBnzTOFlTL6INk71+vs7EsHuc7z8PwbIX36XeUdKNro+gYm8zr0VvO9WucJCZDAqSRA4X0q6bNvEmizBGqw4hdDoI7FZb+7CwOH3oXlZkoMKy2dgLl+U535DtbEQg9xXivc5PuSmE3EmcnkRpvFaErKXV5AWcWytAgrzMI64x9b6RL44dmTYfymN/a4CS9tLjUrKxrRsuIxDNOX+cz0d5npQZSLWSlR/ZJzl7/mWnSmDrvMAjM3DJtu3LS+4w3jPJw+dMl4c3cW/k+BWRGyHAWbC2Ctn2NenpxkJkd3pkXoN9ZMmbjfYa08WVm6GY+N8oRv5Ez7XqPhIb4jSr/5Dr9h50y4IfRoh5Qr8ZCa527cfxpCj0d4NvI2OIVpnWMXFk76tvGYuys2+6A5/SydMgzDzUI3pZU15kGsCI9N8Ey1OfWOa4MySbO9rDo3a7RZEKgEDtdDUo2jHEUbVmDG+ElY4bdAVR0crg9lxpCe7gfDZoNgAyRAApEjcOonVum4FnA6wY5779v6yMvWz6k3f4WsLSNnjWc4tunjgGyvBUE8hTxHxe6p+7Lq1/vOmla7s968t+nuR/vz3s+xFglpmj2eqeO82/Lua85627R4AaebM+34LERj3n3zs9c+NaB96jj71HgWEdt0c546Te+j3twDo/l97Mjw8K0urp/ql+9T3kzFZ5u5z2vKOz+7PbfTHPnaaz4DvlMWepX3P9m3yjMtpdwf3+n9pEZV4WLv8WXoAjy2cWQucC8gE5S7ZYLnM2HvL/x+bHb4sjbTJXp9smzTCdrZ7vHhEOiz6jfVYIVn+sbsxcX+cHmFBEjglBOgx9v8NWMiARJoCgEHXv+98ehaaSIW5wz3VE4ZjmeXud3e2Lij0pMX4KjXkJGuq3l4e4s1FYanVEwfPJG/D8vMtHeBUmbWRCxb/0PjlQ3fnqzcZVg2xxUe4e4k0yyoswfThjYQpO6OC0/A3c+ZhVEmZrprFpr4ZpkqcN7iee5FfhJjAwXoBoq/tceFaJ0w+jD34GXbQjJO44bg9HiXmXHpeKZ6p7lvvuOW/EzkLl6P6oVjG/CWBrLb1a61S8DNE3LdFzKmGg+4LTbbnRHkIO3ase6pCeVrg3sCTEOY0P9u7Fwzz1jrSk7wyJw6DwtyXFd7JASY1aQx+0177vtrQonC7Sd7MQo3LXN/BtTMzKkLsHPzNAT+ZHnb1nPEE9hn2sh2D1JbkX0mJprP7g8uSbJfRPmWd93vJ2Rl9vXK4wkJkEDrIBAl0r91mNLxrBD0Zgl4HDt2DGbZeFRVVWHkyJHYsWOHG4ZZMh6jRo1C9+7dERcXh9jYWERFRVmbuxAPSOCkE6gzIQx1iDGfSZWIdhPqampQFxODOLMFT6WYEdXLWpnQLAaC/GdGBGwP1lzNFag2b/vFxscjISHJtG1vuSn2OLBkTKL1Al7WgkK8Oqk/6swc3GUOM81EbDxSU5IasMH0Yb7uj/Pu2DLCXj/Z1Le0Zp0pb3J9GQgbAw4B0UidCPThMgrlJsxBJtVLSPLlZZUwc/KZsJ3KCmv2klgz9qSGxm6KB7Xb1ZzsSlfOQC/XdIrGc48HB3qLQ1vRIIeu+9kQJ3fNOlSaeHrrc5GQjJQEp8q3bPX5bDZqfxD2ZvRh9iP1Ko19tYhPSEVSgteH1jOKYJ8JU0rmb6+wPp+xiI9LMJ//QL93dVj50CBkzTVPfxm52Ld1ZgMC390tD0iABE4BgcB/BU6BIeySBEigLREwojqAANURNCTINd+zdy6cMntKHgrnLkPx7BH+i7pIYSPAklLSgsQch2nPUee8HTFGyKeZLWiyHiQClwhYX8oHKC5sGkwR6sNqPyYBKSlBYtSlkOGaYriGkoLa7W6gHHlzdQ7zqbg5oxGm7nq+B8Hvp6d0TMDPRSBbA13ztGOOgrCXh5dAn79AbXpfk3opQT63Tgu863hZZZ3EhfL5rCnEchHdJmXdP4ai2yLBHyTQ+ggw1KT13RNaRAIdisDA2x50hQwsxd/eLu1QY29vg60p+T9MWeccVeacHzV5IaX2xuNkjqf0zRddUyxm4eFb+5/MrtkXCZBAEwhQeDcBFouSAAm0AAETk/wr1+qXs59c554ppAV6cjdZtdt5uNu+7KU7lwfhEthmm4rxvh8MCLcZ1msyAQdWz3VO7ZmR+3BT169qcm+sQAIkED4BhpqEz441SYAEIkRg+BP5qHrEYUKsEwKGZ0SoG1czCbjtH4UYbJb1O/u8SyLbdAdv7ZIJzyH/+q8Re9rZ6NcnSEhNB+cU+eEn4N43qnCreU0hIamR8KLId84WSYAEmkCAwrsJsFiUBEigpQg4XwBsqdZ9203p0x8hruniW5XnQQjEpfTBQIINQqjlsmLMS5dJfNZpOcBsmQQiRIChJhECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hECyWZIgARIgARIgARIgARIIBgBCu9gdJhHAiRAAiRAAiRAAiRAAhEiQOEdIZBshgRIgARIgARIgARIgASCEaDwDkaHeSRAAiRAAiRAAiRAAiQQIQIU3hEC2VLNREVFtVTTbJcESIAESIAESIAESOAkEqDwPomwg3UlAjuQyNbrgfKCtcc8EiABEiABEiABEiCB1kUgqt6k1mVSx7FG0B8/fhy1tbU4cuQIvvnmG1RVVVnHkte5c2d0794diYmJ6NatG7p06YKYmBhLoFOId5zPCUdKAiRAAiRAAiTQPgjEtI9htN1RqEe7U6dOiI6OtsS2iPETJ05Yx7GxsdZ1Cu22e49pOQmQAAmQAAmQAAkIAQrvVvA5ENEtnmzxcIvoliQebxHdck3yRJRLOQrwVnDDaAIJkAAJkAAJkAAJhEGAwjsMaJGqYvd2q/CWtuVYhLd6wEWA20U3xXek7gDbIQESIAESIAESIIGTR4DC++SxDtiTim8V2SKwRWhLkjwR4Qw3CYiOF0mABEiABEiABEigTRGg8G4Ft0vEtiQR2iLAJb5bzyVPNxXpViZ/kAAJkAAJkAAJkAAJtCkCnNWkFdwuCSuRJHvd1CwV27rX69yTAAmQAAmQAAmQAAm0LQIU3q3kfqn4bsgcEd5MJEACJEACJEACJEACbZcAQ01ayb2jsG4lN4JmkAAJkAAJkAAJkEALEeDKlS0Els2SAAmQAAmQAAmQAAmQgJ0AhbedBo9JgARIgARIgARIgARIoIUIUHi3EFg2SwIkQAIkQAIkQAIkQAJ2AhTedho8JgESIAESIAESIAESIIEWIkDh3UJg2SwJkAAJkAAJkAAJkAAJ2AlQeNtp8JgESIAESIAESIAESIAEWogAhXcLgWWzJEACJEACJEACJEACJGAnQOFtp8FjEiABEiABEiABEiABEmghAhTeLQSWzZIACZAACZAACZAACZCAnQCFt50Gj0mABEiABEiABEiABEighQhQeLcQWDZLAiRAAiRAAiRAAiRAAnYCFN52GjwmARIgARIgARIgARIggRYiQOHdQmDZLAmQAAmQAAmQAAmQAAnYCVB422nwmARIgARIgARIgARIgARaiACFdwuBZbMkQAIkQAIkQAIkQAIkYCdA4W2nwWMSIAESIAESIAESIAESaCECFN4tBJbNkgAJkAAJkAAJkAAJkICdAIW3ncb/b7cOCQAAABCG9W+NpcDdHAoxdZsAAQIECBAgQIBAJCC8I1i3BAgQIECAAAECBF5AeL+GTYAAAQIECBAgQCASEN4RrFsCBAgQIECAAAECLyC8X8MmQIAAAQIECBAgEAkMxaQz6ViIKncAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {
      "image/png": {
       "width": 500
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='./images/10_01.png', width=500) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring the Housing dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Source: [https://archive.ics.uci.edu/ml/datasets/Housing](https://archive.ics.uci.edu/ml/datasets/Housing)\n",
    "\n",
    "Attributes:\n",
    "    \n",
    "<pre>\n",
    "1. CRIM      per capita crime rate by town\n",
    "2. ZN        proportion of residential land zoned for lots over \n",
    "                 25,000 sq.ft.\n",
    "3. INDUS     proportion of non-retail business acres per town\n",
    "4. CHAS      Charles River dummy variable (= 1 if tract bounds \n",
    "                 river; 0 otherwise)\n",
    "5. NOX       nitric oxides concentration (parts per 10 million)\n",
    "6. RM        average number of rooms per dwelling\n",
    "7. AGE       proportion of owner-occupied units built prior to 1940\n",
    "8. DIS       weighted distances to five Boston employment centres\n",
    "9. RAD       index of accessibility to radial highways\n",
    "10. TAX      full-value property-tax rate per $10,000\n",
    "11. PTRATIO  pupil-teacher ratio by town\n",
    "12. B        1000(Bk - 0.63)^2 where Bk is the proportion of blacks \n",
    "                 by town\n",
    "13. LSTAT    % lower status of the population\n",
    "14. MEDV     Median value of owner-occupied homes in $1000's\n",
    "</pre>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <td>0</td>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>1</td>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>2</td>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>3</td>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <td>4</td>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296.0   \n",
       "1  0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242.0   \n",
       "2  0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242.0   \n",
       "3  0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222.0   \n",
       "4  0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  MEDV  \n",
       "0     15.3  396.90   4.98  24.0  \n",
       "1     17.8  396.90   9.14  21.6  \n",
       "2     17.8  392.83   4.03  34.7  \n",
       "3     18.7  394.63   2.94  33.4  \n",
       "4     18.7  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases/housing/housing.data', \n",
    "                 header=None, sep='\\s+')\n",
    "\n",
    "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', \n",
    "              'NOX', 'RM', 'AGE', 'DIS', 'RAD', \n",
    "              'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr>\n",
    "\n",
    "### Note:\n",
    "\n",
    "\n",
    "If the link to the Housing dataset provided above does not work for you, you can find a local copy in this repository at [./../datasets/housing/housing.data](./../datasets/housing/housing.data).\n",
    "\n",
    "Or you could fetch it via"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM  ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD  TAX  PTRATIO  \\\n",
       "0  0.00632  18   2.31     0  0.538  6.575  65.2  4.0900    1  296     15.3   \n",
       "1  0.02731   0   7.07     0  0.469  6.421  78.9  4.9671    2  242     17.8   \n",
       "2  0.02729   0   7.07     0  0.469  7.185  61.1  4.9671    2  242     17.8   \n",
       "3  0.03237   0   2.18     0  0.458  6.998  45.8  6.0622    3  222     18.7   \n",
       "4  0.06905   0   2.18     0  0.458  7.147  54.2  6.0622    3  222     18.7   \n",
       "\n",
       "        B  LSTAT  MEDV  \n",
       "0  396.90   4.98  24.0  \n",
       "1  396.90   9.14  21.6  \n",
       "2  392.83   4.03  34.7  \n",
       "3  394.63   2.94  33.4  \n",
       "4  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('https://raw.githubusercontent.com/rasbt/python-machine-learning-book/master/code/datasets/housing/housing.data',\n",
    "                  header=None, sep='\\s+')\n",
    "\n",
    "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', \n",
    "              'NOX', 'RM', 'AGE', 'DIS', 'RAD', \n",
    "              'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing the important characteristics of a dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x900 with 30 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set(style='whitegrid', context='notebook')\n",
    "cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
    "\n",
    "sns.pairplot(df[cols], height=2.5)\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/scatter.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "cm = np.corrcoef(df[cols].values.T)\n",
    "sns.set(font_scale=1.5)\n",
    "hm = sns.heatmap(cm, \n",
    "            cbar=True,\n",
    "            annot=True, \n",
    "            square=True,\n",
    "            fmt='.2f',\n",
    "            annot_kws={'size': 15},\n",
    "            yticklabels=cols,\n",
    "            xticklabels=cols)\n",
    "\n",
    "plt.tight_layout()\n",
    "hm.set_ylim(len(cm), 0.) # can be ommited in matplotlib 3.1.2, when the bug is fixed\n",
    "# plt.savefig('./figures/corr_mat.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\ProgramData\\Miniconda3\\envs\\py3x\\lib\\_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The examples.directory rcparam was deprecated in Matplotlib 3.0 and will be removed in 3.2. In the future, examples will be found relative to the 'datapath' directory.\n",
      "  self[key] = other[key]\n",
      "C:\\ProgramData\\Miniconda3\\envs\\py3x\\lib\\_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The savefig.frameon rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "C:\\ProgramData\\Miniconda3\\envs\\py3x\\lib\\_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The text.latex.unicode rcparam was deprecated in Matplotlib 3.0 and will be removed in 3.2.\n",
      "  self[key] = other[key]\n",
      "C:\\ProgramData\\Miniconda3\\envs\\py3x\\lib\\_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The verbose.fileo rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n",
      "C:\\ProgramData\\Miniconda3\\envs\\py3x\\lib\\_collections_abc.py:841: MatplotlibDeprecationWarning: \n",
      "The verbose.level rcparam was deprecated in Matplotlib 3.1 and will be removed in 3.3.\n",
      "  self[key] = other[key]\n"
     ]
    }
   ],
   "source": [
    "sns.reset_orig()\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing an ordinary least squares linear regression model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lin_regplot(X, y, model):\n",
    "    plt.scatter(X, y, c='lightblue')\n",
    "    plt.plot(X, model.predict(X), color='red', linewidth=2)    \n",
    "    return "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = df[['RM']].values\n",
    "y = df['MEDV'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Sebastian/miniconda3/lib/python3.5/site-packages/sklearn/preprocessing/data.py:583: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
      "  warnings.warn(DEPRECATION_MSG_1D, DeprecationWarning)\n",
      "/Users/Sebastian/miniconda3/lib/python3.5/site-packages/sklearn/preprocessing/data.py:646: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
      "  warnings.warn(DEPRECATION_MSG_1D, DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "sc_x = StandardScaler()\n",
    "sc_y = StandardScaler()\n",
    "X_std = sc_x.fit_transform(X)\n",
    "y_std = sc_y.fit_transform(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rN9hNWcEInbZH0n388ceY+cQTjkTZj997E5ufK/Iww5WVlUmWK3q4YBwUCgUS\nUtNcPktIS8flCxdQUVGBgsJCCBGRWPzqW45rmDdqGL6ZNROpv/+9h2wXlSoYNWoc+NOf/F6HVOg6\n03HxqaCIaKAgCAkA7hUEIR7AUQDbieh0m0jHMIwLvvw2gb6YrzQPTMPhgwcgxhkd4/947hxO1R33\naOPer18/yWoO9nJFJ47VunxmOVqNiOa0TEN8AqKUKscc3VLScPbsGWDaNA/Zcnpdw11sr2L89YMa\nCGANbEESFgA/BTBfEISxRPRZ6MVjGMYZqWAAby3SfeHca8l9RTZjxGB8XVaK9G45eLloEe5+5E+Y\nO3o4uiQm4fiRQ5g5YwYaGhowfNgwzBgxGHGJKThZV4vCggKHElmzehXGjxoKjV5E/QkLoiIjsf6F\nF5Cfn4/6ExY0ka223uQ7b5KUb9GiRRg6ZAheae4DxcrpKsWX/Q/AbgAJbvuSAeySYz8MdAP7oBjG\nK60NBnAJDdfrKTMn1yU8O61bd1Jr9ZRkynTkMY2ZNoeUKg3pu8Q192fqQQqViu6a8Cgt2bLdpQ+T\nnaKiItJotZTRrbtLcEVJSYnXAIgdu76QlXvFdGwQpCCJvV72s4JimHYkkGAAi8VCO3fuJL14JYBh\n/satHm3UFSoVZXTrThqtlrR6PQ2f8JhtX04eKVQqum/KLJdk2A2l+zyScO3t2c09epJONNB9U2b5\njMx7w2BwUZKZeb1oUtEKTqztpMhVUP6CJC572d9ubToYpr3x1868LWhpMIDdzxSflILGxkbUHDwA\nc04eevXrjzhjAuaNHobk9AzU1VTj+b/8Bfn5+TCbzdi4cSNmznoCT71+pbr43NHD8auhI2HOyUNc\nUjKsNdWot9ah9ojtntjbuTtXJN8/8g6cPn9OUjarxYL7c3Iwx8lsaa2pQZ/+N3BpoqscfwoqSxAE\n9+YpAoCuIZKnQxMOLy4mtNhf9Elppg5THVsq8m/OqGHo9fNfoN5ah3MN3+PLzz9Hg4S/Jz4+HnFJ\nyS5BGc5K6djh/+H56ZNQb6kDNdm+zzoHcvxQU+3VzwSbtQRGwFZ/b8xwqGNEfH+6Hn+c9zTqrXUB\n+deYzoM/BTXHy/65wRako9MRX1xMywhViHdr5JHzhUgq8k8fa8C8+4bgTP1JrFm1yqNPkn3suLg4\nnDx+zLW6eNX/8JfHH8LJ48chCBFoamoCIEDsEueQx1J7FEN7pEgL1NQECK6dFkaOHIlBgwZh7dq1\nWLJsGd7Iq983AAAgAElEQVTbsJqj9xi/PqhkL/uvlWM/DHRDB/NB+aspxnQOpOq9uRc/bSv8FVl1\n/tuT/PuMNdDOnTsl/0adx9aLIomGLqQTDZSZ14t0ooHiEpNo0aJFFK1UeviuKisrvfqZ+ml1jmRd\nX3CybecHQfJBvQrgVwAgCMLLRDSqef9T9v1MaHJTmPAjWCHercXbSu7s2bOYOn26xyreWwdbqfYZ\nUmPPGDEYjxatRFxiMi6cP4flk8bjZz/7GdLMXV3+5k/9+CO0eXkeY9bcfDu+fH49rENvgaE5WddO\nfn6+x/8RTrZl7MhpWGgnzcv+q55weXExocXxoh8zHPHJKThxrNbRqrwtkfpCFJeYjClTp2Lexjck\nzY92E5o3k6DdpFdfXy/5ZWv55AdhTE5z5Dvl5+fjlMWWwNv/0P/w80cly7li+du7XJJ1my5fwtC7\n7oLeEId6ax0iIyLwwvr1bA5nJPFbzdwL3I/dCclvqGw777Q0URMuNjaiiZraZX5vX4hSTGafq3hv\nKxMX/2n1EVy82Ogx9uTlq11WUE888QTWPvss7vYSAKHVavHn5csxd9RQ6GK7oN5ahwhBQERkJBa8\nss0lWKOgsJC73DKS+FNQ5OVnxg1/31CZjo/d/OVtldJWSH0hWl5UhKnTp7d4FS9l0ps7aqgj7Nze\n0fbam37tOCcxNR3GhATcLTHem9/UoOq/3+DyyN/CbDbjf99952LSm/DoZMkafWwOZ6Twp6B+IQhC\nLWwmvS5OPxtCLlkHhG3nnZtw8jVKfSGKiYlp8Spe6ppSTGY8/8wyGAwG6HQ6XDdggEPxDe2RgqES\n47xatAKFT87Gc/WnYM7Jg8GYCMD2f8K5f5S3Gn1sDmek8FcsVtFWgjBMuBPuvsZBgwbh9U2bAEgH\nH0jh7Zqcz1+zahVGejHlWa77BT598XWoAcStW+XIj2o4fQr5+fkuxxqNRkeNPrvZLzIiAmvXr+cv\ndowkApF3y50gCN7yoEBEC0IikW1e8iUXw7QXdn+N8yqlrRz8znlP9o6z8UkpOHakCjfffDP27NmL\npHT/eXhWq9VhdsvPz3eMlZCSiuNHq1G0dKmjKjm2bAHuljLmAbEGg0e0X3KaCadPWLFmtfz5nZUT\nJ7tfHQiCACLyH2znKwYdgBXAAQALABQA+KN9kxPDHuiGDpYHxVxdhCpPx9e4LnlPsQbSaLV035RZ\npNHrKSE1nRRKlWRTQffxiouLSavTU5LJTEq1mtQaDRUXF9v26/WUlduTRIOBNr/8std8Jueir6LB\nQJk5uaRQqSgxNZ20er1L59yW3K9QN2JkwgcEqVhsFIDBsOVDvQtgLACdnIFbs7GCYq4W7C/v4uJi\nry9n5/brzkmx2uautUu2bCdzj56uxVZzckmr15M5O4dUGg0VFRU5Crg6KzKNXk9RCgWp1GqaVLSC\nNpTu86qYXvzkXzSpaIVLsq2UbM5J6nKVDie7X10ERUGRq9LQARgN4B0Am+SeF8jGCoq5GrC/vLN7\n9nZUCd9Qus9FCZSUlJA+RqQUc1fS6kW659FptKF0HxmMCZTatRu98W0tbSjdRzrR4FHV4dpbbre1\nUzd3JYVSRVHR0WTq3sNFkSVnZFK0UkmRkVFeFdNrk2eQSqsjnRhLXfN6k1KtpoWLFhGR7+oaLVE6\n4VSlgwk9chVUS/KgfgpgAIAMAH9rwXkMw7ghFd49+74h2Fa8AonpJjQ2NuLPf/4znl+5EvNffhMH\nvqrAxmULsGvLa3hjzXO4eOkizn3/vSO44XfjJ2DGiMEwGBNRb6mDSqNFxcd/d6koPn34bzyi6L4/\nfRqNP/4oKeN5AL3yesPywmpcvtiIRa9dadE+f/Rd6PuznyE9Pd1r4Ii/qEdnf1O4B6Aw7YQv7QWg\nH4DlAPYBWAtgIJoDK0K5gVdQTBvTlvXfLBYL/fWvf6Xsnr1dVgxJJjNNKlpxpddSTAwlpKZT4YKl\njhWWTjSQuUdPUqhUdNPwe0gbI1JiegYp1WpSqFQUGRlJU1e8QEqVhpLNXd3Gz6TIqGhSKFWUlJFJ\nIzRar6smd1OgUqV29H2yy2rKyibRYKCJEyeSXhTJ1LWbS5NBXysod5/awkWLHGbOQBsxMh0HBGkF\n9QWAbwB8AKARwC0AbmmOwJgZEo3JMG1MW1ait89liE9AbfVhlxVDvaUOffrfAMC22jAmp6L60EH8\ndcl8JKZl4K11qzB/o2vLjEUl7+DJ+0ciJiYWDd+fQXLXbrj2pl9j5KQpKHl2qcv4J47VQKlWQxEd\njWOHD0nKp4sRMW7OIiSs/ovLyifWmICvSvfi+sFDm1de9Xj+g09Rb63D7Ht/h6jIKEQrlYgQrrSK\n81ZhBYDH6nHmyN9CoVCgaOlSRy8qjuJj/K1kxnjb5Gi/QDdc5SsorubcdrTET+Ltuch9Xva57Csh\nY3P0XUZ2DuljRFJrtK5+JKWKIqOiyGBMIJVG6xEIYe7R0+avihFpzNixpNFqKVqppPkbt9KG0n0U\nFR1NUQoFJaSZKFqppGiF0uuKSaNQUEZOHkVGRVFEZJRHVKBCqaJopZLSsrqTUqWmyctXO/xfSrXa\n5/1zvz9S/ibuoHt1gSBF8T3dms+9nCMAWA2gFMDfAXSVOCZ0dybM4VDbtkWuc949DNs91FrO8yor\nK6Os3J4uAQ3zN26lKIWCzNk5pNZoSKFSUVq37qRQqSgmLt5mjjOZSa3VUVR0tKvZTa2myOho0ur0\nFGtMsJ2blU0KlYrUWi0pVWoy9+hJGp3eq2KakJJGSpWafjN6HN06cnTzGN0pOlpBGr3e0WIjIS2d\nRj3+hE3RObXZmFS0gpJM5hYFN0h9KbC3jufAiKuDYCmoOgCvedlKAByXM4nbmEMAbGj++VoAb0kc\nE+r7E5ZwqG3bI+ee28OzzT1syuW+KbMceUb+znVePVgsFtJotR6RdKbuubRky3aaVLSC4pNSSK3V\n09QVL0hG5kVERlF8ciqpm1dLCpWa5m/c6nmsUkXzN26l+tyekoqpDvAYOyE1nbQxIk1evtoWgq7T\n0+z1JTR/41bS6PWk1YuUnJFJSpWaNFodJZnMpFCpJHOwZOU8xRooyWR2mZP/3q8O5Coofz4o6RTy\nK6zx87kUv4DNpwUi+lIQhJ8FMEanJJxqvV0t+KtEb7VaMWXqVJdouLmjhyMhORllZWU+n5fd3xSf\nlILjR4/g2r59cfHiJRw/UuXmGzoKY2o6jKnpWHXqT0gymRGXmIyE1DSXsQ3GRFxqbMT39adw+fIl\n3DziPuz/v39ApdZ4HHtbrAFzRt8lec1Lt2zHs1Mewgqn45MzumLCwiJEKRSYO3o4ntvxMWK6xGHF\njEk4/8MPICIs3nSlCvn0u3+DO+4vxM9v+Q3+/uYmzBgxGBlZ3WCprZFVA5A76DJyiPD1IRHt9bcF\nMGcMgDNOv18SBMGnHFcLzqG2AK76UFur1Yry8nJYrdaQzjNy5Egc2L8fr2xYjwP797sESEj2XkpK\nRl1NNfr16+f1ednDyH/7wATU1dbCmGrCp5+V4rZ7xyIiIhJzRg3DlKG3YM6oYbh86TIAoN5ah6am\ny6irPowL58/BUnPUZeyGM6exbNuHWLz5XSjVGuzZ9jrqqo+4HtvUhKE9UvB23TGP6xw1ZRb0ogEn\n647hZN0xl7FPHj8GY2q6LTgjNRVfle7F2ZMn8OO5c4iNNwJEqDl4wHEP4pNSkdXzGohd4jBk3ENI\nM3fFrMen4PPPPkNWVpbHM5N6lkajEbNmzcLBAwck7z0TXrTV/0cX5CyzgrkBeAbAXU6/H5E4hubO\nnevYdu/eHby1ZZhj92lc7aG24eKLkzIBKlQqRzkfl+fVHC5tN+uZs3NIrXWtsqDR6Smjey5tKN1H\nS7Zspw2l+yjJZKbENBOp1BpSKBQUl5hMaq2e4pNTbSWEmsPI7YEJ9qCCLglJNOD2O0mt01NsvNGr\nn2nbvw85/DzxSakUGRVNUdHRpNJoKTE9gxRKWwi7s29Lq9eTRqtzuW5tjEgbSvc57oF79Qhv1TDC\n5VkygdPaZ7h7926XdzqCXUkiWBuAobjig/o5gPcljmnRxXc2rvYovnDzxV2p+NCL9KIoWWtu4cKF\npBdFx3/gcePGOao46ESDQ7mYsnuQWquXjJCLT06hyGhbnpKpey5pY0T65eAhZDAmkFYf46EsohVK\nik9K8aqYCuKNLr4ue9RgckYmafR6Uqo1NKloBRUuWOrIp9LFxNDCRYto8+bNHsEPiekZlN61qyP3\nyfmLlF05SdUDDKdnybScUPx/lKugZFWSEAThJtjq8kUAeB7AbCJ6LcBF2zYANwuC8Fnz738IcJxO\ny9XeVyrcfHFymlEue+YZl0aGM0YMxqy1r6BXv/4Ov5UYb8Sxw4egUKswffhvkJCWDmvNUTQ1NUGp\nVkOrF3G2/hSe2vweDMZEfPHh+1i/8AkoFArcNeExzL5vCGIMcai31EGIiMBuEAYcr/WQ5TKAlNR0\n1FstUL/3Jvr0vwHV3+3HmRNWPPX6ey65R3363wCxSxz63fRrPD7kFrywbh3uvvtufPjhh6i31rn4\nyk6fsGDZkiUYOXIkjEYjnnjiCcc98fbM/PnpmPCnPf8/yvX9LIKtqvlE2ModFQY6YbMCfZCIBjRv\n/w10LKZz0la+uJbY1I1GI/r27evxH9JqtWL79u1ISHENUohLTIFKrXH8ro+NxeKC+yAIAgzxiYhW\nKJDz//ri0qVLiIyMxIKX38CERc8gxZyFmoMH8PCt/fHOhjWIjorGpYsXsekvS6GLiUW9pQ5jrx2A\n8+d+wIDGRg85l7+9C6I+BkP/OBFRimhsfq4ID/6qHxb8YSS6JCa5Jt/G25JvAZv/68fzP+DGG28E\nYGuDERkR4eIri4yIcPiIysvLAcBxT7w9M19+OqZj0K6+cTnLLAC7YSsW+17z73vlnBfohqvcxMeE\n3hcXDL+IfYys3J4epYHcfTT6GJE0Wlsirr0gbFS0ggCQGBdPs9eX0LPv7yWtXvQw59nNcYIgeDXn\nOZvi0rKyHZXOHSZBvZ60ek/TolqrpeSMTNLHiB73oKSkxKOEka/75u2ZsV+14xPsZ4hg+qAAvA3g\nU9iqmT8EYIuc8wLdWEExRKHtu9Ram7r7GPdNmUUKlYqye/Zy8dHY/VaTJk2iJJOZJi9fTTrRQInp\npuYkXFuQQmy8kTQ6PWVf8/88fD/JGZleFZOoUHooI5VGS6Zs11wrc/cetHDhQkfukUavp8IFy2j+\nxq2k1eupsrLS63U653G1JO/L2zhMxySYzzDYCkoJIK/5514AlHLOC3RjBcWEkrKyMo9Crc4tIuT8\nJ5SqQNG1Rx4999xztHPnTrJYLI7mgObsHNLFxFBUVDRpY0TJxFqdaKD5G7dStELpkvjqTTHtmPg4\nKVVqunHI3aRQqkihUjsi8qIVCs9SRSoVVVZWugR0uH8b9nft3BKDCRZyFZTPIAlBEHYDqAEwiYgq\nmzXH18EyLzJMe1BRUYHDBw+gan8lDMZEfFW6F8eqD6OiogI333qrrKKxUu0hjh89gtlz5iIp3YRj\nRw7jwoXzePSZVYhLTMaF8+fw5AP3QB9rkEysNaamYv//lSMiMgK6WAP6/O4WDKImybnf/NYWGBG7\n7XWU/X0nmpqacP0dw1C64x3Ep6Ti+JEqiHEGzB09HMbUVFhrahBnTEBDQwNyc3Mxa9YsFBQUOAIc\nAGDR4sVYtqzIZ8t4bonBtDm+tBeAGwDkyNF0wdzAKygmRDgXbFVpdaRUq20mL62O1BpNi8x+znZ5\nvSiSLsbVd6RUqSlaqaTENBPpRAPpDXEO35T7Csrue3rp2WKvqyapckZJJlvpIaVaQ7fd+wfS6kXK\nyMkjhVJFd014lGavL6Hx854ifYwoeS12P5O/gq9S18z+JCZQECwTH4A7YQst3wjgOQDDEeKeUKyg\nmFBhN1PZutDGerzwCxcs9Wu+cvfLlJWV0ebNm6lrjzzJCt12851CqaKIyEhSqFRkMCaQQqlymOW0\nYqxXxWTv62T3XyVnZDr6Qzn8X81FZZ3r2kVFK0ihsilghVJFEydO9LgOvSjSiImPU2ZuL9mmO/Yn\nMa1FroLyZ+JbCVso+g4A3wPQA/g1gFsBjAv6co5hQozdTPVV6V4kNJf2AWxmti6JSXhh0Wz0u+nX\nqLfWSZqvpHpHAcD948bh8qXLLuYva00N+vS/AcbUVKjUGsSlpKC+rg4z1rwElVqDk3XHsHzyg7jY\n2Aj8eMFDVqNCiaZYAxqau+AOuP1ORCkU+PPkCUhITceQcQ/hzKmTeGvdKpf8prmjh2Pha28hIjIS\nT21+1yU3q7CwELm5uQCAtevWobGxEV988B6OHTkk23R3tefpMW2Hv0TdXkR0g9u+d5ySbBmmQ2Ev\nDltQWIjGxka39uf1ECBg9u/vQMPZ0x6FS6XatBeOGY5Lly8hIjIKwx58FHNH3wWdGIvvT9fjj/Oe\nRr21DtaaGlw4fw71dXWIjTeiV7/+AICpw2/HEgkZ54kGPP3jBRAID0+fC0vtUcy4ezC0MSJ+OHsG\niaYMWI4ewbb1K9H72gGIT07x8Gd9vvM9dElIdMvNshW4zc3NhdVqxbJlRVi8yabAtq1fiRkjBqNL\nQhLOnz2DNau5aCsTBvhaXgH4BMAv3fZdD2CPnOVZoBvYxMeEGIvFQmPHjiWlSu3oeTR5+WpKMpnp\nueeekzRfOZsH7XX0snJ7UmJqOnXN600bSvfR7PUlNPSPEx19lRRKlaOm3s9+dTMp1Wraf90vvZrz\n1FotTSpa4ah5pxNjaUPpPopLTPbMtVKqKD4pxSNiT6lS23pL+Yjkk2o5n5CaTmPGjGHTHRNyEKR+\nUFmw5UAdhS2ar7r592w5gwe6sYJi2gKLxUJanc5VIcTEeH1BWywW0uh0pI0RqWteb9I2J9/aOtmq\nSKPTO/Yr1RoqmPc0qTQaGjhkBCk1GrouIcmrYnrj21rKyMmllMwsF6WRkZNLk4pWkFKj9fATmbJ7\nkFKlIoVSaav7l5FpS77VaEkfI9Jtt912Zb9KRePGjfOZXKxUqx0JuQwTSoKioMhVaUTKPba1Gyuo\njkk4OM9bKoO9cV5Wbk8SY31HpVksFo9IPZVGQ1q93iNAQaFSO5r5JZnMXhWTay5ULGl0btUemiMB\nCxcslWxgOG/ePNLqbRXTl2zZ7ogQnL9xK4kGA82bP580Wi1l5uSSGGtwVLN449taGj7hMVKobMnC\nnbVpYDj8TTKeBGsF1RXAW80rpyoARwC8D6C7nMED3VhBdTzCoaVCoDK0JDnX2Sy2oXSfR3i2vXV5\nWlY2qX20Wn/3832OqLwkky3KzpiSRiqNltQ6nSO6L6dHD0eL9cnLVzuqjitUKkpONznC5N2jB5ds\n2U5de+SRXrxSZWL+xq0UrVTSs+/vdapokUHRCqWs6MWORjj8TTLSBEtB/R3AtW77fg7gMzmDB7qx\ngupYhEN7jLaQoaioiKIUCkeNvUlFKySVw6SiFV4V05v9f+niG5q/cStFKRR045C7KSpaQeldu5FG\nq6Xrr7+e1q1bRzt37qQUUwbpRANl5vUijVZP0Qolzd+4lTaU7iONTu9R6kgnxjpKGNkVqnOIulqn\nJ5VG63KOc6+nzrCCCoe/ScY7chWUvyg+FRF96RZU8YUgCC0KxGA6N+HQHiPUMqxduxYzn3gCyaZM\nLCq4D3rRgNMnTyBaEe0SCThh/7eYMuVhyTFUajUulX8BNBFm3D0YXRKTcaruGAbeeRcefLIIX39Z\niuPVh9ElMQlflJWhus6KU3XHcfFiI6attoWmf11Wiu0bX0B6txxYa6qRZDLjd+MmOKpG1P7vIPSi\niOWTxmN5URGmTp+Or8tKsXb+TMzfuMUp5Py3iIyKxplTJ3GpsRFafQzm3TcEZ+pP+my7brVafbYd\nCRfC4W+SaT3+FNRXgiBsAPABbG3a9QBuB/DvUAvGdBzCoQROKGWwWq2YMnUqntr8nktOUVxSCk5b\n6zD7njvRMykFZc0t0d3p3rMXjlUfAf34I1QqNRa88ia+3PUB3lzzHJJMZnzx4Q4kZWTiXMP3iFIo\n8MP332PW2legUmtw4fw5LHv4fhQ98gB0YixOWurQJSEJj9z2C4yaMgt1R48gNSsbz+34GF+V7sWG\nBbPw6saXkJ+fD6PRiJiYGIwr+APEOKNHzte0YbdBiIhAksmM+hMW3DNyJKZNm+bIk3JHKgcsXFu0\nh8PfJBMEfC2vAAgAhsDWpn0tgCLYOuJyJQnGhXAogRMqGaSKy2bk5NGSLdvpmbd3eTXnOQrG6vWU\n0a07KVVqSkwzNVex8Ax4KFywlFIyu5IxNZ10ooG65vW2meXS02nz5s0u/iR71J1aoyFdTIzPa66s\nrPQ41x5IodbpqHDBMtLGiJRkMpMYa+uO6+6T64gms3D4m2SkQTBMfEREgiB8CiASgAigHsDnzRMw\njAM5XWdDidVqRVZWFj7/7DM0NDQEVQaz2QxL7VGXb+Mnjx/D1OG3Sx7//qdfYXLhKDxfUYGp06dj\nwSvbXFZen3/4nkex2BRzFpQaDeotdbh8+bLrau3uwSgtLUWKyexyTpq5K1Y9uxz5+fk+73tubi7W\nrlmDglHDoDV0QcPp0yiYuxi9+vWHXjRg47In8eQrbzrme2TEYKRnZuHE8VrHKknKZBaXmIzt27fj\n9ttvD0uzWXv/TTJBwJf2gq2cURlsK6j5AJYDKAdQKEf7BbqBV1AMyY+ua4toLfscGdk5XldMuwoe\nubJCiYmhnTt3eqy8EtMzKCpaQUqV2mM1ZMunUlJyRqZrA8Ju3Umj1ZIY27IVjPv927x5M0UrlS6N\nFKMVSsrIyfW6OrTP4b3/VW9enTAtBkGK4vsMQLTbPgWAcjmDB7qxgmLkKp1QmJ68KcYza9Z4VU5K\ntYa0MSJl5vUibYxIao3WZpaTiLBLSjPR2LFjSYxtbmgYI9Kdd95JelGkzJxcjwRanWigrj3yaOGi\nRS7V0xcuXOj1OqXun8ViIY3WFsaeZDKTUq2myKgoUqikQ+XdQ87tY3btkechY7ib+5jwIlgKqgxA\njNu+WABlcgYPdGMFdXXTEqUT7CZ6koqxvt6rYkpITadohZJM3Xu4lEBKMpnJlJVNGq2WFEoVZeTk\nkU60tfmwX4vdP2XOznF54durk5u653qcY7FYbIoq1rvy9nX/iouLKVqpdKmeodZoSC+KDsVjr5Lu\nrWOuVJmkzpI7xbQNchWUvyi+JwH8UxCEA7BF8cUA6AZgchCsiwwjiZS/IyElVdLfEcxoLavVioLC\nQtw/exH69L8B9dY6jLzzJsljk01mW0HYP82EGG/EooL7UG+tgzE1HV+V7sXZUyex4sNS1FvrMOfe\n38F69DCS0jPw7gurHBXQ7f6pS42NWD37ccf1Dhn3ED7e9josRw8jxWR2nGM0Gh1FXue85FSwduxw\nDBo0yHFffIVY5+fnw9ytO64fPBQAIHaJQ2y8EWfrT+HSxYuIjorCm6ufRdkH76Kuploy5Dw5ORmW\nmqMcIceEHH9BEu8KgrADQC5syuksgG+I6FJbCMdcnUgpncMHv8OTS5Zh0mOPuYQ326uTF44djsTU\ndK8vVTnY20+8u6EYz3rJZTLr9Zj4yjasdGpt8dyOj6HR6TF9+G8QEREBQ0IiiJqw6/VXcNPd9yHV\n3BXPP7MMBoPB4awvLy93KJEzp07iRHNLDfv1njl1Av/3j3+guroaAJCfn2+Tce1aqGNEn/k99vv3\ndVmpI1T9WPVhNDY24ocffnBRLl+XleKkpc4lKGPBmOF4/plljlB1O85h5hcvNmLuqKFITjfh+NFq\nFC1d2u5BCB0lR4tpAXKWWW29gU18VzXOZqzsnr38mp3s57Sm5prFYiEx1kBHel0jbc7bsEEy3NzR\nlFAf46jTZy9JlGQyk1YfQxqtliorK13k8x500MthtnMu7KrV66moqIj0ouhSOWL+xq2k1empsrLS\n5XomTrRVVE8xdyWFUkWioQspVCpKTE0njVbrCE3X6vWU6RYkIWWukzIbqrVa0ur0tjqG7RwowWWN\nOhYIkg9qsbdNzuCBbqygrl6cXzR6UaTCwkLKyu0ZUn+HxWKhHdOmSSqmBq3W5Tj3l7RSZYu+W7hw\noVOnXtdjNFod6UXR4+XpnqfjnH/k3JpeJxrI3KOnQ8HYyxYlpJts/q3sHJdxpeR0dPVV2VrB60WR\nNm/eTJs3b5YVHeju65OqQ9hegRIdMUfrakeugvLng7IAeBDAItiSdhkmZEg1BJw3ehiamppczF+1\nR6qC5u94feNG3D1mDG6T+Cw21oAD/90PbfPvzuZEgzERtUeqoBdFNF64AKPR6NSp1zXHKSYuHiMm\nTsH1g4e6+Iy85elYrVZs374dhvgEvLVulVuJosEQ441Y+NpbmDFisEsnXfu4Uj4oe1ff5IyueP+l\nFxATG4txBQVIMZkd5roUkxnHqg9j2uOPe9wLd7PrV6V7YTAm+jQ1tpXJjcsadV78+aCeFQThZwBq\niWhXG8nEBIGOaI+vqKiA2CUeBmMiANuLJiktHUf+dxBzRg1DQlo6LEerQZcvB2dCQcDdEruzc3vC\n2pyk6n7vRo4cifT0dNxy662YtfYV9OrXH1X7KzF17HAsffppTJk61aNTb721Dn363+C4JueXp3v7\ndLufJyElDbXVhz1KFKWYzFjy4BhEK1UQu8S5li9KSHI8c3cfnr2r78njxxBrNOLk8VoXv9O80cMw\n7Le/warVa/Dy5i1Y9swz0r6+McMRn5wCS81REMhroERblkXiskadGH9LLAAqALFylmNyN9jKJ73q\n4/OQLCuvFjqiPd7elynJ5NpXSS+KlJXb0yWEu9UmPpNJ0pyXoY+hxPQM0mi1VFxc7HGa3Tem1ekp\nxdxV0uzo7D/r3usajx5M3kK3y8rKHCWJnEPAFUqVo3L5+HlPkVKlIq1eL9lJ194x13E/DQYyd+/h\naEyH6UIAAB3rSURBVOVhD1mPUigoM6eHi/zurTnc5bRYLLRw4ULS6vVkysomvSjSxIkTSTQ053KJ\nouOetYfJjcsadSwQ7IaFtjGRBSCzJedIjPEsgEoAr/k4JlT3pdPTEe3xkr6d5u6uxcXFwbueJUsk\nFdNtKrVff0pJSQnpRZGUarWjKaAcpWOxWFxenu4JtvbPsnv2JpVaQ0qV2lGDb/Ly1WTubuuaG61U\nkkKldijw34weR3rRQDox1tGyPjbeSDt37vSQoaioqDkYogfpRZGKioo87qlzaw53pevty4NoMDjG\ntgdKFBcXt1ueFDcn7DgERUEBmAVgVfPPEwFUAPgSwDQ5g3sZcziAG1hBhYZgJ662BVIyZ+X2dLxs\nW/vt+OTevZKK6dzYsaSLiaFJRSuoa573F6pdgTof59xfyd4m3dcLUirB1ln5bijd59HXSRsjkj5G\nJK1bzyd7xF+SyUwanZ7ueXQazd+4lZRqtYuCcp9/586dtHPnTpck4a498kiMNdCMmTMlgyUqKysl\nAy42lO6TXHUpVCqPxOOO8CWJaVvkKiivPihBEBKalclwQRAyADwE4A4AjQBeFQShhIiO+Dj/fgCP\nASDYAiwIwB+IaIsgCDfItkEyLaIj2uOlZD5xvNaR+xNw0c/GRkCpRBepz4jwdXk5Uv9ZgT79b8AL\nT872es/sTnjn43r9/Be457FpeGXZk/hHeTm++uorZOfkICElDcePHkHR0qUoKChwmXJZ0ZUE26/L\nSjGpcDRSMzJhzsnDd/v+hUQ3R78+1oDf/ebX2P7hLkQpVY6cqbfWrXLxH80c+VtERkYhMiIC6enp\nKC8v97hPH330kcMnVH3oICIiIpBiMqP2cBWami7jzXffdwmWsOeTNTQ0SAZcfFW6F3U11R4FbJMz\nuuLBhUXY9+VnmDFiMDKyusFSWxNwbhpzdeMrSMIMW9296wBkw9bu/drmz3QABgLY6O1kItoAYEOg\ngs2bN8/x88CBAzFw4MBAh7qqCGbialshR2b3YAK/eGmqGWsw4MD+/TDiimKst9ahYO5izBk1DPpY\nA86fPYM1q1d5JL7aj5v5+zuBpiYYEhIRERmJTz75BFOnT3eJPnxkxGAAcCgp50izz7a/jbXzZ0KM\nM6L60EFU7a+EMTUddW5K+vzZM5j4yCN49bXX0ERA1f5KXGpsRHxyikdwxJkTFox74AFcN2CAR2CC\nc3SkwZiIR24dgPkvX6lePmfUMEwrfgX11jrMGz3MJUnXarV6fHmoPXQQG56c5WiI6F7l3ZiajiHj\nHkLpe9sw6/EpYVvtnGk79uzZgz179rT8RF/LKwA7AKyDzbR3HQAtgJUANstZnvkYl018IaYj2uOD\nInOPHpLmvHe++I+kudOXf8hZJrs5TqpQqr3Iq3tFcK1e75GY6+6/stfdSzKZSanWkEavp4wc2xz2\noIOSkhLSaLWkVKspITVdcv5PP/3Uq6/O2YR6z6PTJNvUL9my3as52MXEGmughYsWSfjQ5CVUMwxR\nEEx8zfwOwC0A/kJEXwuCEA3gCwBbWq4KGSaEPP88MHGix+4hOh1++epbMMca8HVZKWoOH4JOp3N8\n7st86B4qvfTpp6FUKrFo2TMuK5iktHTUVB3yWEm4h5OvWbXKo7vtkHEP4W8lG3Hxxx+x+qMvAQDW\nmmoUz54Cs9mM8vJym3yHDqGiogKAbTU21Wm1uXbNGigUCq+5QM6lj95YuwLUdNlF1uNHDkOp0Xo1\nB/u6R86fVTT3v/JVx49hWoQcLdbWG3gF1So6bJh5IDJ/+63kionGjnUZN9mUQQqVijJzcj2qLkit\n2qQiC+3VF6SCCYqKikihkq5a7oxUd1u9KFKMGOtafUKn81ux3LnqxM6dO31WhHCswlRqR3WKtG7d\nSaFUUWy80dGPqrV/Kx1x5c60PQhFmHlbbaygAqezhJn7lfniRWnFJPG3I6UUnKPopJSAe2Th5OWr\nSalWU1ZuT5dads7nuUTG+VCyUlGJ7qZGe10/f/fDWbF7k8vO5s2bHea9Z9/fS2qt3qV5oRgb3n8n\nTOdBroLyZ+JjOhgdsexLi2X2EgCBpibJzxoaGjyizRJSUjF5yhSXduzObSucIwsNxkQUz5uOxZve\ndam84F7xu6CgAEOGDPEbbejNZGbfV19fj4lTpvq9H1arFYUPTnBpvSEll50bb7wRDadPOYItEtNN\n6NWv/5U50sL774S5+pCloARB+AmAAtiqSgAAiOj+UAnFBE5nCTOXlPlnPwP++U/PASwWwMdLVWr8\n40erfSpFo9GIpU8/jUdGDEaXhGToYw2u4dTpGTAYDB4vc3/Rhs4lqPr27St5rlTknNT9kGq94U0u\n+/jriotROGY4DMYE1FYflpyjI5bJYjopcpZZAP4FYByAW+2bnPMC3cAmvlbRnmVfAvVB+JS5uFja\nlPfOOy0bP9bWukKMNciqUFFWVkZZuT1p9voS0rn5iFpqNpXTCVf2/Wgez731hr0ihD+53CMTpUyN\nbeG/ZH/V1QuC6YMC8IGc44K1sYJqPe3xn781Lzf3SgdERFRdLa2YRowISDa9KDrqyLn7ffy1Tnfu\n8STGtuzanMsktUTJ+XqG9t5U9ooWmXm9SKlWk1KlbrHidG/x0Rb+y44YyMMEj2ArqDUApjevnm4B\ncIuc8wLdWEF1PFrzcvN4Wb36qrRiCvDvwpds/hS5vzwpuXP7K6cUyDXZAz82lO6jSUUrSKsXKSE1\nnRYuXBjQmG1VJqsjBvIwwUWugpIbJKEEkNO8AbayRR+2zrjIdCYCDc5w7wF14419Ybj3Xs8Dm5pg\nPXECVRJlfFojW9++fX2OFXCZJae5E1LSpMspHQ3cN2g0GlG0dCkeGTEYyRldcfL4MQz548PYtnYF\nlixbhoKCAlmyOvub2sp/2REDeZh2wpf2AhDV/K/CfZOj/QLdwCuoDkeg34rt39r3/nWL9Iqpvp6I\nWm8+bK9v7M4rHWczoVKtpoWLFrV6/BkzZ1K0Ukmm7j0cFdC9rXrcV4tS97Qt/Je8gmIQpGrmrzX/\newjA/5q3QwD+J2fwQDdWUB2TQF5uJ/7xD0nFdGrHDscxwXihtWfgSHFxsSOJV6sX6bZ7/0B6UQzK\nC9muAJ17SEndG3dl5CtIpC38l9y/6eomKAqqvTZWUO1DMF5Mssf44Qei7GwPxXSrXu/xsgqWb6Q9\no8b8JfG2RraWBHvI6f/UVnAU39ULKyimRbRZVFVTE9GYMR6K6WxRkc9eSu1pEgrkRSp1jrdxArn3\n7mP5i/hzV/D+OugyTChhBcXIps0UwKpVHoqJHnjAprT8EGyTkFylE4jykHuOPbReq9f7NdG1RiZv\nz1cqDypY8OqI8UXQFRRsPaFuB5AGQJB7XiAbK6i2JeThxR9/7KmYcnNtZr4W0JJVgy9aokBaqrjl\nnmOXITEtnRRKlawgh0Blcp7PXRmFQpFwjhPjj6AqKAAPA/gItr5QjwJYIee8QDdWUG1LyFZQR454\nKiaA6PDhVssc6EuwJdcaiOKWc4633lCONu8+Aiha82WiLVY17W2OZToGchWU3DyokQCuB/ARET0r\nCEJ5CyLZmTAn6F14z58HfvpT4JtvXPfv2QPccEOLh3OvDeeeO+Ve6NUXLcnBCSQvSM45dhlUag0S\nUtM82rw/XDDO63W0JlepxV2JW4jVasX27duRkJLGOU5MUJCroCJgS86l5t9/DI04THvR2oRUALb1\n0fjxwAsvuO5fuRKYMCEgudybBq5ZtQpZWVktTvS0KzmdTif7BR+I4pZzjl3JXDh/Dpaaox5t3u1t\n4gMd39u1uz/XYBaFtT+n+KQURxv7jlKsmAlj5CyzYDPxfQLgCIDtAKbIOS/QDWziC1u8monWrvU0\n5Y0eLSsAwtdcUuaiysrKFpmR3M2BEydO9PDH+DJ/BSuKT0qm5HSTZCPF1o7vPo+7KTSYfiL353Tf\nlFmkUKkou2cv9kExkiAEQRJ5AIYD6C33nEA3VlDhieRL7bPPPBVTt25EDQ2tns+Xv0VuVJ8vJWd/\nwf//9u48yq4x3eP49xciLm2KWZuaTkIW1xjtXi4lCEFHWBFFtyHRhsYyJQiNNFrCarGu6eKaEgkJ\nhXSHbi1XpAhiiIuQRBJXFkFExJgmkeG5f7zvSc6pOlOqTp29K/V81qpV++zaw7PPObWf/b7v3u+b\nVKN+Jslkx1Lp7VciwZdS6Db24cOHe9uTy6vcBFXueFBnAp3N7FJJ4yWNNLORFS7MuRRr2O7z5Ssv\nUntSbeMF58yBClXnFGtv6datW1lVkoXanBYtWkS3bt2a1Z7VFA2r1VqyXabQsb/++usV7Qsv3+e0\ncP48jjrqKG93cs1SbhvU74H94vTRwIuAJ6g2JHOy22nHnajpfRgbvz89d4EJE6B794rus1R7Szkn\n+FI3FVSz49J87Wm1tXmSfIUUOvb99tuvop3CVvwmG+cyyilmAW80eP1KOes19Qev4kudL+bPt3s7\ndGhUnfd9E4d2WK19N/P26GLVgdW6LTqp268LHXtL9IXnD+e6clFmFZ/CssVJuoowFtTrwN7As2Z2\nY0slTUlWTlyuSoYPh379cmbVtW/P8uHDqT355GRiWk3F7ljLlGyyr/4rXbJ54403OOWMMxlS98zK\neVf0OZJRD9yXM/R7Swy3Xo27+JxbHZIwM5VcrtxEIGlPwnhQ75vZO82Mr9S+PEGlwWuvwf7758xa\nvt12vD1yJNt37bpGndRa+mS9YMECOnXpktPWdd3pJzB75syV+6t2FaBzSalIgpL0OzO7T9JQVj0D\nBYCZXdn8MAvu1xNUkubNg222aTz/gw9g552rH08VNTVRlbNesZJaOQnMuTVFuQmqXYm/z42/ZwMz\nG/y4Nc2SJbDvvo2T0/jxocVpDU9OY8aMoVOXLpxyxpl06tKFMWPGVHS92tpaZs+cyagH7mP2zJk5\npaNiN2s411aV2wY13sx6VCGezP68BFVNZnDhhXD77bnzb74ZBgxIJqYqa2oJplIlHy9Bubak3BJU\nubeZfy2pFzALWAFgZrOaENSGwChgQ6A9MMDMXl3d7bgKGjkSTj01d16fPvDoo9CuVAF7zdHU280r\ndZu636rtXGPlJqgtgIuzXhvQlIdeLgGeM7PbJHUGRgP7NGE7rrmmTIGsu8eAULU3YwZsuGEyMSWo\nqZ2wNqfz1oYq0h+ic2uQkgkqlnqONrMfKrC/W1jV0Wx74McKbNOtjvnzYautGs+fNQs6dap+PCnR\n1BJMpUs+Ld27hHOtSam7+M4HBgDLgPPN7NmyNyz1J5S6DFD83c/M3pS0FaHT2QvM7KU869rgwYNX\nvq6pqaGmpqbcXbt8fvoJampg8uTc+X//O/TsmUhIadSSd/E511bV19dTX1+/8vW1115bkdvMXwFq\nCG1GI82s2WcySbsDjxDan8YXWMZvkqikgQNh2LDceUOHwqBBycTjnGvTKnWTxGIz+wn4UtI6FQiq\nK/AY0NfM3m3u9lwJY8bASSflzjv2WHjiCVhrrWRics65MpV7kwSEarrmGgJ0AG6VJOAbMzuuAtt1\n2d56C/beO3fe5pvD7Nmw0UbJxOScc6upVBXffGACITl1j9MAmFmLdcLmVXxNtGBBuBNv2bLc+TNm\nwC67JBOTc841UKmujg4u9Dcze6GJsZXkCWo1LV0Khx4Kkyblzn/qKTjmmGRics65AireWWw1eYJa\nDYMGwU035c677jq4+upk4nHOuRIq3ZOES5u6OujbN3feUUfBuHF+A4Rzbo3gCaq1mToV9tgjd97G\nG8OHH8ImmyQTk3POtQBPUK3FwoWw7baweHHu/GnToGvXZGJyzrkW1HZ6A22tli2Dww6DzTbLTU5j\nx4ZeyD05OefWUJ6g0uyaa6B9e5gwIXeeGfTunVxczjlXBV7Fl0Zjx8Lxx+fOO/zw0G/e2v6ROefa\nBj/bpcm0abDbbrnz1l8fPvoINt00mZiccy4hXsWXBl9/Hbogapicpk6FRYs8OTnn2iRPUElavhyO\nPBI6doTvvls1v64utDPtvntysTnnXMI8QSXluutCe9KzWUNsXXFFSEx9+iQXl3POpYS3QVXbuHFh\nyItshxwSElX79snE5JxzKeQJqlpmzGj8zNI668Cnn4ZnnJxzzuXwKr6W9s034SaHhsnprbdgyRJP\nTs45V4AnqJayfDn06hX6x/vqq1XzR48O7Ux77plcbM451wp4gmoJQ4eGGyCeemrVvIEDQ2KqrU0u\nLueca0W8DaqSXngBampy5x1wADz/fGhvcs45VzYfsLCSpNzpefNgyy2Ti8c551Ko3AELvYqvkjID\nCE6ZAitWeHJyzrlm8BKUc865qvISlHPOuVbNE5RzzrlU8gTlnHMulTxBOeecS6WqJihJ60n6i6QX\nJI2XtHU1919p9fX1SYdQFo+zsjzOyvI4K6u1xFmOapegzgSmmNnBwMPA5VXef0W1li+Cx1lZHmdl\neZyV1VriLEdVe5Iws1ullU+zbg98Xc39O+ecaz1aLEFJ6g9cDBig+Lufmb0paQKwG3B4S+3fOedc\n65bYg7qSugB/M7Nf5vmbP6XrnHNrsHIe1K1qFZ+kQcAnZjYK+CewLN9y5QTunHNuzVbVEpSkLYAR\nwLqEGzQGmdnkqgXgnHOu1UhlX3zOOeecP6jrnHMulVKboCR9Iun5+HND0vEUI2kXSd9ISuWohK3l\nAWlJG0oaJ6le0suS9k86pmIkHSfp4aTjyKbgLkmvxP+dnZKOqRhJv5I0Mek4CpG0tqSHJL0o6VVJ\nv046pnwktZN0v6SXYqxdk46pGElbSPpYUudiy6UyQUnaGXjTzLrHnz8kHVMhkjYAbgYWJx1LEa3l\nAelLgOfMrAboB9yZbDiFSfpP4AbCIxRp0hvoYGb/DlwB3JJwPAVJuhS4F+iQdCxF/Bb40swOAnoC\ndyQcTyG/BszMDgSuBoYkHE9BktYG7gZ+KLVsKhMUsA+wbbwCfLpUlk3YfxNOBCXf7KSY2a2Ekymk\n+wHpW4B74nR74McEYynlZeD3SQeRx4HAPwDM7DVg32TDKeoD4LikgyjhMcIJH8L5cmmCsRRkZn8F\nzoovdyS9/+MQLujvAj4rtWBVbzPPp8ADvecBQ8zsCUkHAKOA/ZKLslGcGR8Do83s3aweMhLVWh6Q\nLhHnVsBI4IIEQwSKxlkn6eBEg8tvQ+DbrNfLJLUzsxVJBVSImY2VtEPScRRjZj/AypqSOiC1tTlm\ntkLScEIpuk/C4eQl6XTgCzP7H0lXllw+jXfxSfoXYJmZLY2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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112ddf0f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X_std, y_std, lr)\n",
    "plt.xlabel('Average number of rooms [RM] (standardized)')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV] (standardized)')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/gradient_fit.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price in $1000's: 10.840\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/Sebastian/miniconda3/lib/python3.5/site-packages/sklearn/preprocessing/data.py:646: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
      "  warnings.warn(DEPRECATION_MSG_1D, DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "num_rooms_std = sc_x.transform([5.0]) \n",
    "price_std = lr.predict(num_rooms_std)\n",
    "print(\"Price in $1000's: %.3f\" % sc_y.inverse_transform(price_std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimating the coefficient of a regression model via scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    }
   ],
   "source": [
    "X = df[['RM']].values\n",
    "y = df['MEDV'].values\n",
    "slr = LinearRegression()\n",
    "slr.fit(X, y)\n",
    "y_pred = slr.predict(X)\n",
    "print('Slope: %.3f' % slr.coef_[0])\n",
    "print('Intercept: %.3f' % slr.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X, y, slr)\n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV]')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/scikit_lr_fit.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluating the performance of linear regression models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.3, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "slr = LinearRegression()\n",
    "\n",
    "slr.fit(X_train, y_train)\n",
    "y_train_pred = slr.predict(X_train)\n",
    "y_test_pred = slr.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(y_train_pred,  y_train_pred - y_train, c='blue', marker='o', label='Training data')\n",
    "plt.scatter(y_test_pred,  y_test_pred - y_test, c='lightgreen', marker='s', label='Test data')\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='red')\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('./figures/slr_residuals.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 19.958, test: 27.196\n",
      "R^2 train: 0.765, test: 0.673\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import r2_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Turning a linear regression model into a curve - polynomial regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.array([258.0, 270.0, 294.0, \n",
    "              320.0, 342.0, 368.0, \n",
    "              396.0, 446.0, 480.0, 586.0])[:, np.newaxis]\n",
    "\n",
    "y = np.array([236.4, 234.4, 252.8, \n",
    "              298.6, 314.2, 342.2, \n",
    "              360.8, 368.0, 391.2,\n",
    "              390.8])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "lr = LinearRegression()\n",
    "pr = LinearRegression()\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "X_quad = quadratic.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.00000e+00, 2.58000e+02, 6.65640e+04],\n",
       "       [1.00000e+00, 2.70000e+02, 7.29000e+04],\n",
       "       [1.00000e+00, 2.94000e+02, 8.64360e+04],\n",
       "       [1.00000e+00, 3.20000e+02, 1.02400e+05],\n",
       "       [1.00000e+00, 3.42000e+02, 1.16964e+05],\n",
       "       [1.00000e+00, 3.68000e+02, 1.35424e+05],\n",
       "       [1.00000e+00, 3.96000e+02, 1.56816e+05],\n",
       "       [1.00000e+00, 4.46000e+02, 1.98916e+05],\n",
       "       [1.00000e+00, 4.80000e+02, 2.30400e+05],\n",
       "       [1.00000e+00, 5.86000e+02, 3.43396e+05]])"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_quad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit linear features\n",
    "lr.fit(X, y)\n",
    "X_fit = np.arange(250,600,10)[:, np.newaxis]\n",
    "y_lin_fit = lr.predict(X_fit)\n",
    "\n",
    "# fit quadratic features\n",
    "pr.fit(X_quad, y)\n",
    "y_quad_fit = pr.predict(quadratic.fit_transform(X_fit))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='training points')\n",
    "plt.plot(X_fit, y_lin_fit, label='linear fit', linestyle='--')\n",
    "plt.plot(X_fit, y_quad_fit, label='quadratic fit')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/poly_example.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_lin_pred = lr.predict(X)\n",
    "y_quad_pred = pr.predict(X_quad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training MSE linear: 569.780, quadratic: 61.330\n",
      "Training R^2 linear: 0.832, quadratic: 0.982\n"
     ]
    }
   ],
   "source": [
    "print('Training MSE linear: %.3f, quadratic: %.3f' % (\n",
    "        mean_squared_error(y, y_lin_pred),\n",
    "        mean_squared_error(y, y_quad_pred)))\n",
    "print('Training R^2 linear: %.3f, quadratic: %.3f' % (\n",
    "        r2_score(y, y_lin_pred),\n",
    "        r2_score(y, y_quad_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modeling nonlinear relationships in the Housing Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tLa1GawQHB1NQUKBdp6WlERERYdOnJi4pIQS9evVi+fLlvP/++zzzzDNaW0FB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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1144baef0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "regr = LinearRegression()\n",
    "\n",
    "# create quadratic features\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "cubic = PolynomialFeatures(degree=3)\n",
    "X_quad = quadratic.fit_transform(X)\n",
    "X_cubic = cubic.fit_transform(X)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X.min(), X.max(), 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X, y)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y, regr.predict(X))\n",
    "\n",
    "regr = regr.fit(X_quad, y)\n",
    "y_quad_fit = regr.predict(quadratic.fit_transform(X_fit))\n",
    "quadratic_r2 = r2_score(y, regr.predict(X_quad))\n",
    "\n",
    "regr = regr.fit(X_cubic, y)\n",
    "y_cubic_fit = regr.predict(cubic.fit_transform(X_fit))\n",
    "cubic_r2 = r2_score(y, regr.predict(X_cubic))\n",
    "\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit, \n",
    "         label='linear (d=1), $R^2=%.2f$' % linear_r2, \n",
    "         color='blue', \n",
    "         lw=2, \n",
    "         linestyle=':')\n",
    "\n",
    "plt.plot(X_fit, y_quad_fit, \n",
    "         label='quadratic (d=2), $R^2=%.2f$' % quadratic_r2,\n",
    "         color='red', \n",
    "         lw=2,\n",
    "         linestyle='-')\n",
    "\n",
    "plt.plot(X_fit, y_cubic_fit, \n",
    "         label='cubic (d=3), $R^2=%.2f$' % cubic_r2,\n",
    "         color='green', \n",
    "         lw=2, \n",
    "         linestyle='--')\n",
    "\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV]')\n",
    "plt.legend(loc='upper right')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/polyhouse_example.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Transforming the dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TJ+/h/fcbOPlkKCuDyy+Hs88G5wRBK+vEuf8WtD92FaqYkze3pSD0dNqruKYppZ5WSl2v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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113d9a9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "# transform features\n",
    "X_log = np.log(X)\n",
    "y_sqrt = np.sqrt(y)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X_log.min()-1, X_log.max()+1, 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X_log, y_sqrt)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y_sqrt, regr.predict(X_log))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X_log, y_sqrt, label='training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit, \n",
    "         label='linear (d=1), $R^2=%.2f$' % linear_r2, \n",
    "         color='blue', \n",
    "         lw=2)\n",
    "\n",
    "plt.xlabel('log(% lower status of the population [LSTAT])')\n",
    "plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000\\'s [MEDV]}$')\n",
    "plt.legend(loc='lower left')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/transform_example.png', dpi=300)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
