{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Regression\n", "This material is adapted from the following,\n", "- [Scikit Learn](http://scikit-learn.org/stable/) \n", "- [Sebastian Raschka](https://github.com/rasbt/python-machine-learning-book) \n", "- [Jake Vanderplas](https://github.com/jakevdp/sklearn_tutorial)\n", "- [Andreas Mueller](http://amueller.github.io) \n", "- [Kyle Kastner](https://kastnerkyle.github.io/) \n", "- [Quantopian Research](https://github.com/quantopian/research_public)\n", "- [Python for Probability, Statistics, and Machine Learning](http://www.springer.com/fr/book/9783319307152), [github](https://github.com/unpingco/Python-for-Probability-Statistics-and-Machine-Learning)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.core.display import display, HTML\n", "display(HTML(\"\"))\n", "\n", "%load_ext line_profiler\n", "%matplotlib inline\n", "\n", "# Ignore Warnings\n", "def warn(*args, **kwargs):\n", " pass\n", "import warnings\n", "warnings.warn = warn\n", "\n", "from helper_functions import tic, toc\n", "\n", "\"\"\" Include Parent Directory in Python Path \"\"\"\n", "import os,sys,inspect\n", "currentdir = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))\n", "parentdir = os.path.dirname(currentdir)\n", "sys.path.insert(0,parentdir) " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from IPython.display import Image\n", "\n", "from distutils.version import LooseVersion as Version\n", "from sklearn import __version__ as sklearn_version" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Simple Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Linear regression is a technique that measures the relationship between two variables. If we have an independent variable $X$, and a dependent outcome variable $Y$, linear regression allows us to determine which linear model $Y = \\alpha + \\beta X$ best explains the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ordinary Least Squares\n", "\n", "Regression works by optimizing the placement of the line of best fit (or plane in higher dimensions). It does so by defining how bad the fit is using an objective function. In ordinary least squares regression (OLS), what we use here, the objective function is:\n", "\n", "$$\\sum_{i=1}^n (Y_i - a - bX_i)^2$$\n", "\n", "We use $a$ and $b$ to represent the potential candidates for $\\alpha$ and $\\beta$. What this objective function means is that for each point on the line of best fit we compare it with the real point and take the square of the difference. This function will decrease as we get better parameter estimates. Regression is a simple case of numerical optimization that has a closed form solution and does not need any optimizer. We just find the results that minimize the objective function.\n", "\n", "We will denote the eventual model that results from minimizing our objective function as:\n", "\n", "$$ \\hat{Y} = \\hat{\\alpha} + \\hat{\\beta}X $$\n", "\n", "With $\\hat{\\alpha}$ and $\\hat{\\beta}$ being the chosen estimates for the parameters that we use for prediction and $\\hat{Y}$ being the predicted values of $Y$ given the estimates." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1JFgfCo67UQkEp/CuOGVAzE3bjAIvOPd/8gGMRSuTrkNfBjbxQoqXSIAESIAE\nAoWAxWLBm2++iRdeeAFt2rSBw+HA3LlzccMNN+D7778PlGFyHCTQIgSCUnhbel2FRAN3GsY8+BoO\nG++POE3abcIjjSsF21/DbeMXOCdF/RJyv3PZItPERkmABEiABEigeQn84Q9/gLib9O7tXA1j69at\nRtSTNWvWNG9H2BoJBBCBoBTeiB6KtHlO6Z27IAXdw0NgnZ5lTOt06y0Y3j8EPQenOK3dKnfJn2/j\n8vAB9NBzKCRAAiRAAvUjIOEFd+7ciXHjxhk3HD16FKNHj4aEIDxz5kz9KmEpEiABN4HgFN5q+AmP\nvI0VqU7x7aZhHGQj2/AvceamrtiLyXHOt7yrluMZCZAACZAACQQ+gaioKKxYsQILFixA69atDdeT\np556ComJiTh8+HDgA+AISaARCdQSz6MRW/DZqqIxbu5GFN69HavfXYdP83Kw71Cp6m0Uunfvhfjr\nhmDUb/4D8d0oun12CtkxEiABEiCBZiMwY8YMXHfddbjjjjvw7bffYsuWLUbUk8zMTIwYMaLZ+sGG\nSMCfCQSx8HZOW0xcgrJoq82fZ5F9JwESIAESIIFmIDBw4EDD9eTee+/FO++8g6KiIowcORKzZ882\n3E9atWrVDL1gEyTgvwSC1tXEf6eMPScBEiABEiCBliNw4YUX4u2338bzzz/vdj154okncOONN+KH\nH35ouY6xZRLwAwIBb/G22wqQ88W/oX47nON0nAYu7I2EOK8Rv8+xbt5GAiRAAiRAAv5J4KGHHsLQ\noUMN15MDBw5g06ZNhuvJ0qVLcdNNN/nnoNhrEmhiAgEvvPcum4HBrogl58zSmo7i3Q8g+pwr4I0k\nQAIkQAIkEHgEBg0ahF27dmHy5MnIyspCYWEhfv3rX+Pxxx/HX/7yF4SG8ov1wJt1juh8CAT8T0Rb\nS5fz4eO8t2MbBPwnlPOnxBpIgARIgASCkED79u2xatUqPPvsswgPD8fZs2cN4X3zzTfjyJEjQUiE\nQyaB2gkEvJ7sfZeyVo96unYC9bgSFmkBF66sBygWIQESIAESCFoCf/zjHw3XE1luvqCgABs3bjQW\n3BHXk+HDhwctFw6cBMwEAl54Qy19Ex3NkIDmSecxCZAACZAACTQFgYSEBMP15J577sF7771nWLzF\n8j1nzhykpqbS9aQpoLNOvyIQ8K4mdc+GHSVFh5Gfl4f8/fuN/f6Cw7AZy8jXfTdLkAAJkAAJkAAJ\nVBKIjo42/L2ffvpphIWFGa4n4u8tvt/iA85EAsFMIIiFtx35axdjbP9wdOjcHf2sVvTr08fY9+nZ\nHVFqGflJTy5DQXkwPx4cOwmQAAmQAAk0nEBISAhmzZqFzZs3o0ePHkYF69evN6KeSPQTJhIIVgJB\nK7x3Lk5Bv1HTkWVaHr76Q5A5eyJ6Rk5DHsV3dTQ8JwESIAESIIE6CVxzzTWG68no0aONshLnW+J9\np6WlGUvP11kBC5BAgBEITuF9eC1Spme6pzJpZjrWbN6Gbds2G5/Os5amI8l9NQPW1HdBzxM3EB6Q\nAAmQAAmQQL0JdOzY0fD3njt3ruF6cubMGTz66KPGipey8iUTCQQTgaAU3rYjBdCG7vTNh7Bq/gMY\nOTQBCQlDjTeyx9z1AFY5DmFRstX5LOz+AbZgeio4VhIgARIgARJoRALieiIvV3700Ue4+OKLjZrX\nrVtnuJ5s2bKlEVtiVSTg2wSCUngj3DUpiYuQMrS2FSm7YcqfH3QWzF6Dr6m8fftJZu9IgARIgAR8\nnsCQIUMM15ORI0cafT18+DASExPxzDPP0PXE52ePHWwMAkEpvMPD2zjZZX+MfV4Edcnhg85yicNx\nCQN5N8bzxjpIgARIgASCnECnTp3w/vvv48knn0SrVq0grifyIuYtt9yCo0ePBjkdDj/QCQSl8I6I\nS0J6okxtJgb+cZlnN5KiLbjvxtnG/CeOTUBMoD8JHB8JkAAJkAAJNBMBcT2REIOyyE63bs5vnteu\nXWssuLN169Zm6gWbIYHmJxDwC+jYbQXI+eLfQOvWlXTD2+KKsUp5Z2cDGRNxXVsbMiYNAioqnGVO\nH8SLw8YjyzhLRNqkgZX38ogESIAESIAESKBRCAwbNgxffPEFkpOTIT7f33//PW644QYj6sl//ud/\nQgQ6EwkEEoEQh0qBNKDqY8lbPBbW6U4JXf1avc+VL3jxxmmIrvcN9Sso6OUrttOnT+PEiRMoLS3F\nqFGjsG/fPncFGRkZxtdv7dq1Q0REBMLDw41fRPxl5EbEAxIgARIgAT8ncPbsWTz11FPGCpfyd1GS\nhCD8+9//DomKwkQCgUIg4F1N2lq6NMJcnULAfzXQCJRYBQmQAAmQAAmcC4HQ0FDMnj0bssjORRdd\nZFSxevVqw/Xk008/PZcqeQ8J+CSBgNeTve9KR/Gop88LfliYBXy38rwQ8mYSIAESIAESqJOAuJmI\n68nEiRMNEX7w4EGIO4pEPXnwQVeksTprYQES8F0CAS+8gQhER0f47gywZyRAAiRAAiRAAm4CnTt3\nxgcffIAnnnjCcD+x2+146KGH1GtZ2YbrSXR0Yzt+upvmAQk0OYGAdzVpcoJsgARIgARIgARIoFEJ\niOuJCO8PP/wQXbo4XUbfe+89w/Vk+/btjdoWKyOB5iQQBBbv2nGWF+3HjpxdOFh8uvZC6sVHdB2I\nO0bG08+7dkq8QgIkQAIkQAKNTmD48OGG68ldd91lWLwLCgqMFaafffZZzJgxo9HbY4Uk0NQEglZ4\nF6x9Ej1HOeN01w15HkY54hs9qknd7bIECZAACZAACQQ3ga5duxr+3o8//jjmzp2rIv9WYObMmcby\n80uWLEH79u2DGxBH71cEgtPVxLYTM7yJbmvVOUxadA1frqyKhGckQAIkQAIk0GwExPVEVroU32/x\nAZe0atUqw/Vkx44dzdYPNkQC50sgKIW3bd/HrsVxgDlZuShT8bSLcxYZLBPTt8Gx24GyAxtgLG6p\ncq/t25tuJuf7pPF+EiABEiABEjhPAjfddJPhenL99dcbNR04cADXXXcdXnzxxfOsmbeTQPMQCErh\njfA2TrpqYZyZY+JV3BMgLNyZFdXGeRAROxzLN8wxMmc99Z7nZeWdt/B/EiABEiABEiCBZiIgcb43\nbNiA1NRUY0E5WYTuD3/4A26//XYcP368mXrBZkjg3AgEp/DWrKJcAlyfq31p4Qn3Wcy1o5EkZ9k7\ncajcnc0DEiABEiABEiCBFiTQqlUrw9977dq1iImJMXryzjvvYMCAAcjJyWnBnrFpEvBOICiFdzhc\ngjtrNwrtTkDh4c4lcrJnP48tJc68oh3rXS4pHREetK+hen+AeJUESIAESIAEWorAiBEjsGvXLiPS\nifTh22+/xbXXXouFCxe2VJfYLgl4JRCUwjui32BMNbAswCvrC4yjiLghSDWOsjCsw3BMmzYWnYfN\ncsJLuhSdKbydLPg/CZAACZAACfgQge7duxuhBmfNmuV2Pfn973+PO+64A6WlpT7UU3aFBICgFN4I\ni8O985yvTqaNWg6ngTsW07Kc0lv5liAjI8v9fMz7z9GMauKmwQMSIAESIAES8C0C4nry9NNPY/Xq\n1ejUqZPRuRUrVhiuJ2IRZyIBXyEQnMJb0U94KAt7lR9Y7jcp7vjcsWPmYu+aRZialIjExEQkJc3E\n0s0H8MhQp/+Yr0wa+0ECJEACJEACJFCTwKhRowzXkyFDhhgX9+/fj2uuuQaLFy+uWZg5JNACBEIc\nKrVAu2xSERD0Z86cgbyRfeLECeMrMfmlsW/fPjefjIwM3HLLLWjXrh0iIiIQHh5ufJUWEhLiLsMD\nEiABEiABEiCBSgJ2u92IevL8888bf2vlyoQJE/Dyyy/DYnG+01VZmkck0HwEgsJzuSRvLbLyihXV\nDhh910jEKOeSvO1f4iRa14O0WjL+wt5IiOtWj7IsQgIkQAIkQAIk0NIEwsLCIMvK33DDDbj77rtR\nXFyM5cuXY+fOnRAXlP79+7d0F9l+kBIICuH9XfYzSJmRraY4EdtuG4nofW/BOnh6/afcmo7i3Q+4\nXVLqfyNLkgAJkAAJkAAJtBSB0aNHGwvuiLX7008/Nb5RHjx4MF544QXcd999LdUtthvEBILSxzus\nbQO/ZurYhitXBvEPCYdOAiRAAiTgvwR69OiBTZs24aGHHjIGUV5ejqlTp2LixIn4+eef/Xdg7Llf\nEggKi7d10hJsu+rfQPtfYKAsU9n7LpQWj4IrhHedExcWaWFUkzopsQAJkAAJkAAJ+CYBeT9K/L1l\nqfnJkyejpKQEy5YtMxbbEdeT+Ph43+w4exVwBIJCeIdFxyJhaGyVybNER1c55wkJkAAJkAAJkEBg\nExgzZowR9URcT7Zv345//etfSEhIwIsvvoh77703sAfP0fkEgaB0NUHJTjzz6JPGtnY/14L3iSeR\nnSABEiABEiCBZiAQGxuLLVu2YMaMGUZrZWVlmDJlCiZNmmREGGuGLrCJICYQlMLb9t3HmJU2W20r\ncVq9+cxEAiRAAiRAAiQQPATE9WTBggX4xz/+gfbt2xsDz8zMxKBBg7Bnz57gAcGRNjuBoBTelZQ7\nIjqKwruSB49IgARIgARIIHgIjB071ggxKIJb0t69e/GrX/0Kr732mnHO/0igsQkEpfC29LpKBRaU\nlI1hKS+goL5vWTY2fdZHAiRAAiRAAiTQogR69eqFjz/+GH/4wx+Mfpw8eRIpKSnGS5hyzEQCjUkg\nOM290UORvjQZ1omZQNYM9AzfgxWb70UPj+vpcAGdxnzgWBcJkAAJkAAJ+BqB1q1bG7G9ZcEdecny\n+PHj+Pvf/44dO3YYC+5cdtllvtZl9sdPCQSl8C7Pe80put2TloHxwzLcZzUOuIBODSTMIAESIAES\nIIFAI3DbbbfhyiuvxB133GGEGvzqq68M15OFCxcaK2AG2ng5nuYnEJSuJghvIGguoNNAYCxOAiRA\nAiRAAv5J4JJLLsHWrVtx//33GwM4ceIE7rnnHiPyiURAqS199tlntV1iPgm4CQSl8I6Im6wW0ClG\ncT230vencAEd9yPDAxIgARIgARIIbAJt2rTBSy+9hLfeegtRUVHGYF999VXD+p2fn19j8Dt37jQW\n5/niiy9qXGMGCZgJBKXwFgCygE50PTdLRFB65JifEx6TAAmQAAmQQNARGD9+vOFyctVVVxlj//LL\nL3H11Vdj6dKlbhalpaWGa4osRT9nzhx3Pg9IwBOBoBXenmAwjwRIgARIgARIgATMBPr06YNPP/0U\n06dPN7LF9SQ5ORlTp06FiG1ZfGf//v3GtVWrVmH37t3m23lMAlUIBLUpt7xoP3bk7MLBYhW5pLZ0\nWl3rOhB3jIxHUMOqjQ/zSYAESIAESCDACYjryf/8z/8Y7iQiuG02G15++WWsXr0ahw8fdo/e4XAY\nVu+3337bnccDEjATCFotWbD2SfQcNdvMwsvxPIxyxCPaSwleIgESIAESIAESCGwCd955JwYOHAhx\nQRHLtll065HLapi5ubmwWq06i3sScBMITlcT207M8Ca6q/2sJC26hi9Xuh8ZHpAACZAACZBA8BLo\n27cvPvjgA1gsFo8QtNXb40VmBj2BoBTetn0fI8s19XOyclGmvhoqzllk5CSmb4NjtwNlBza4VrcE\nru3bm24mQf+jQgAkQAIkQAIk4CQgoQbF3aS29M477yAvL6+2y8wPYgJBKbwR3sY55YmLMHNMPCLU\nWZgrtndUG+dBROxwLN8wxyg366n3UPuPVxA/PRw6CZAACZAACQQZgfT0dIiw9pZo9fZGJ7ivBafw\n1nMe5RLg+lztSwtPuM9irh2NJDnL3olD5e5sHpAACZAACZAACQQhAVlC/pFHHqnXyFeuXAkJP8hE\nAmYCQSm8w+ES3Fm7UWh34ggPd/pqZc9+HltKnHlFO9a7XFI6IjxoX0M1Py48JgESIAESIIGmIyCW\n4sbeGrO3Z8+exezZs42XK3/5y18iNNS7jGqKuN5mPtIf2U6U293cGnO8rKvxCQSlnIzoNxhTFcsM\nLMAr62di7shYRMQNQarKS1NSe1iH4So+ZxQyMlye4EmXonNQkmr8B441+gCB8hLsP/AjKsKj0Kd3\ntyZ+f6EcRYd/xMkKoG1UF8REi2OXM5UXFeCrb4+gAuG4sGsP9ImNaeK+6Ja5JwES8CUCIiQlVTgq\nYD/jsoY1cgcjwyKNGkNCQs6r5oSEBMim08mTJw2rtkQ40ZusXvnzzz8bRcTqvWfPHlx++eX6lnPa\na0ZysxbeZxW3vQdLsfmrIuTsL8ZL065GRHgrd/3nO1Z3RTxoVALBKSfD4nDvvERkzMpG2qjleNjx\niAoVGItpWalIS0pTgLOV6K7kPO8/RzOqSSUOHjU6gXLkb1mHnQdPo2v8tRge363RWzBXaPvqDfQZ\nOENlJWJb6UYkeH4x33zLOR3b8lYiyTpe/TRVpplZBzB/TCzyXnsQ1pQFlRfU0aLcUkyLb6LOVGmJ\nJyRAAr5CQIvI3MJcDHp1EOyOphHew3oMQ3Zy5W+jxhKlbdu2NZaR/9WvfuVGKmM6cOCAW4h/9tln\n5yy8teDWnGR/5KcybN5ThA15hbCVKauGK32ytwjXXx5jWOHFEi9lG2ucug3uz59AcApvxS3hoSzs\nvWkfKi7s4Y7PHTtmLvauicX8RcuxrxSIiuqPO/5zJu4aGnP+pFkDCdRGwLYb9w9LcgrUxCUo3Ti5\naT/o6ZeLEaVszU2U7Psxu5rolpY25qsfrMSNSDaJ7sSkRGRnZcP1XnMTdYjVkgAJ+BoBLSbFVeKw\n7XCTiW4Zd8HxApw5c6ZZRKmI3V69ehnb2LFjG4xduEjSfGR/XH1t+Pk3xVi3+wccPFrmsc5Ne37E\nkF9GIywszBDcFN0eMbV4ZpAKbztKSmzoctkAmL75NiYjbuQ0LFYbEwk0JoHy/NcQ2S8FsM5E7vb5\niK/0uFDNmOXvqcZstsXqsu1drxy5nCl50Ta8MS0BJQX7UdalNwrWPYhc45IVS/d+jLviLCiXsFyR\nTWft9s6/xTCxYRIIagIiKEV0iyC225vG0m0GXFFRYYhSyavLN9t8X3Mca7EtbWnBbT9zFju+OYbP\n9xVjm9orVF7ToeIy2E6eQtQFIYbwljFSfHtF1iIXg1J42/JeQQfrdAN4cmo6Un6bhGvjlZ93i0wB\nGw0GAhUVLkGd+53h71zlYbNYsSR3G/YXnUBM70FNa+1udtiJSLnN6Q8ZHdvb+HZp5w/fuXrRC3Hd\nnWI7opaFKBqru175N1YjrIcESKDeBLS4FOEtoltEcVMmae/06dNuQSrnLS1KpQ86aR6yP3zsJD5S\nftvZeUU4cco7F3m38xftwzCwlwWD+1yIVjhjfJBp1crp6+0L49Rj5N5JICiFd7j7q3YgM22GsYm/\na2r67zAu6WYMUC95MQUOAbtdYkGGuS0dNUamfumrF8IRFqHKVLtYXlKEYsOHLhyWDjGwePp05ro/\nQt0vqaToMMoqVPnOqryu0Py7s4ZhJwyx8QnqLQMvqdyGImUVlhcRLZZo1Q9dcbV7VLkSW7lqX5VU\nFuToaEuNMVW7o0GndlsJCm3Orzml/hhVv6dk1x80lDvLBdWZaaO+9Vp09Xw7bIq7+C6Gh0fCEhNd\n5XNK9fbqNUde+VevkeckQAJNSUALTtmLtVtEd3MJbxGksonobilRah6/HMtW8vNpw7q9bvcRHC6u\nO35x+4gQXN41DNauIbBEtkKE+j17Vr2YKjx1nU05h6z73Al4j4Nz7vX69J0RcXdi7+YVmDPViNLt\n6qt60XLGRAzs2Rkh/SfhmWVrlQWy7offpwfKzsGWt9gQb+Hh4Vi80xUn0szFth1j1bXIyHC8kle5\nTFJJ/lo8ODwEkR06o3v37mrrjKjIEIx9dBkOVxHONrw2znn/4i078dq0/ujQ2VV+xGIU5b1m/IKP\nGjjd1WoWBndwfg0ov/irb5MWV1vpzF6AZY9OQkhkFDpLvZ2lH+EYPu0F5BVVdqQoby2enDTcKNdB\nlZE+d+6gfLhDhmPxxv3mEZ/TsW3/Rjw6tj/Cozq4eDjrl5+V17YUuOsUlw4ZUwfj5U3JVuONqjrO\ngTNc0YJyZ6G7ZjBtJeSnzaa4T+sfgigX986dOyAypD+eXFmNiypbnzkq98p/ODaaGEpvmUiABJqH\ngBaHzWnxFnEvwlTabO5kHq8cSx9OV5xBjnIhmf9uPv7fy+rvR/YBr6K7bXgI4ru2QvJVYZhoPYOr\nupxG61BnGEEZj/570txjY3sNIxCUwhvKfhY3dBweW7wKFaWFyNmwFKnJiZXkcjMxa+Io9Okcif5j\nH8Sy7ZXCorIQj/yBQGTHWFhdHV34xnZUSlVnZkH2m65Y7ZWjKdm5GB36jcKCbFeeNdFdR1baRHQf\n8QKKKou7j6YPG4iUDKf3spGpFmiyV6iXCRuQbOavFZXofnJgT0xMy6xRQ3bGDFgnvOJcUbV8J+6z\njsLsTN1hc/FsTL+xD5bln/uHyJKdryGqz41IyzKNTTehflZShvXEg+86xX3FyYaNV1eDbYdRUbIF\nSYq7G6FVz1wuZj+5BuaPTfWdowqv/LNRXFr9iXD3iAckQALNQECLUBHETZmkHXFpEcGrRXBTtid1\n63b0XtqWraDwZ7zx0XeYtmgHnnv3X9ixvwTK7u2xO6EhQGx0KEZeGop7rjyLoT1OIyrslCGy5SXK\n1q1bo02bNsYmBibJo2+3R5Q+kxmkwruSf5glBgOG34W5b2x0ifAVmDcz2V0gN2sBJk7NqvJH332R\nBz5PIKzbEDzo+mIjd8FS7K2iP23IXqFfAUzFSCOUXQGedVunk7AitxCO3Ruxu6IQWXNcFWXPwKKN\nh2sZuxXpa3KwN2cDVtxrRbR1KgoLi/HNmnmu8lZk7S1EcWGhylfbITneizmmz3264vy35mK2S+ta\npy7CN6UVcCghmbthkXKMUunYqSofJBKnzsPmvYdQZnx1WYG9WXN0VXhr3Vfu44YdFGDOwBT3LXNW\n5KBUWY2MfqxJd+cvSPordiq2lgHO8e5do9tONI33EAqLC7Em1TXYxDnYq9gUHlL5H09F8YZ3XKEH\nlc97jnDfrdopRk5WOlKnXA1nFF5psv5zZKmV/yEcUm2P7V3dD8Y9JB6QAAk0MYHqgrSJm2s20a3H\nJXsR2vKhovB4GdbkHMbMV3dh1hu78f7OH1B2uvYPGx3ahmJIz1b43dUh+I++dlxyYQVCQxyGsBah\nHRkZCQlleMEFFxibHEcofxMR3+JKo8W3WMGZfItALY6ivtXJ5uqNiPBevX+JuLgeVZvsWPWUZ/5E\nwIIR09XSSFkSnz0Ta3b8DfE6PGTJF3jdZUxOTE8yfKxLtmepRZScad62JRgXH+08CYvBmMcWYs7K\nLEMMr3wvF6nDay4+k75tPR5IcL4jEDfAeWtETAQs3S901doLF/eMqRZNJwI9olyX3bsCvD5RB5NP\nxbuLp7l8wC2IHz4NG0tvw35bmDMUZsQArFT+0OKjXpnCEDdmJhYlzcZ05dmRtedb5coxwKuvdOW9\nlUdFW5ZXRidZkovHxsW7Lqp+jHwAe5fuQT+jn5l4Y91TGKBidMcY4+3sKhdVY7zdY7s7r0Uplxjl\nv6080Y3znYe/c93TC/36ut6zCItWdT6gel6ZGjZHI139qcnfNbOVFfOIBEig2QmYRWpTN67baop2\npG5J5v0p5Uqy+7sSbFHxtT//9ie56LVpcSXpGxOK+M4OXNja6UIiwllEtPZNF2GtN7F2603naeFN\nwe0VdYteNP+lbtGOtFzjdhTtz8Wm9auxcOFsZLssjOb+JI+9KsAiTZhHF/jH3YYkIclYkxSYlfkp\nHho6xnjhsGCLtrAC94/ub4D4bvtGN5CI099jf/73zigkKrdt+Eno6Km5u79Wbh4j3THg5SZr6ga3\n6HZX4jowv9un3pAUbyfvyXYM2kadOM/5oaDKDepDYm/Ti4lu0a1eJC1RL2GWGS8mHkOB1rL7jhl9\nr6vZKm2ok4O7PnFlJWJqkhbdlaXiRiUr63uGYan+7sAxdSHWuFiv8ZZW1iNHva4brv5XnxIMv/Cx\nWLLhSdw+LL7yBVUppNK5zFG9+uOsnv+TAAmQQL0IaJEthbWol/2BH0/gIxVTe/NXR1GuxLe3FKZ8\nSX7RPhRxylbRM0r9plILCGlfbXEbEcEtexHUIrK1wJZjna/LaUs3rd3eiLf8taAV3rbD+chetwKv\nzp8NT66r1qSZePDeOzEicSC6uUNTtPyEsQfnQMAyEPdOVXJODMgZK5D73BgMsCg3k1ddbibWebje\n5XIQ3qZSzc4YZsWM2poTjVkt9YptXy3nPE5VaG/dk8Srq30D46Fae0k+Xnn2vzDdgz+4Ln4uP+yV\nPAarnwNdk2mvKtUoSo1PFKZrDTyMHpCCFTNfwfgF8uk3Cyk3qk1516cumY/UycPdPCr7BDR0jhrY\nJRYnARIggRoEtOA2i+1CtZrkZ9+UYN0XR3DUpkM31bjVndHpglD0U1/sXaa2sJBK00CramLbLLT1\nsQhtT2JbC25phBZvN2qfOziXv8U+N4iGdshesBJRPcfXvM2ajHmzJuL2m4egd4wnlVHzFub4A4Ew\nDE1WPtYZs1RnM7H6ixcw4Mov8boYV1VKnjUGLscGZ4br/8SZczCyA1DzV2gZOvdPdAtB9001C7ov\nnd+BeYEdDzWV7ERKh4FqZDolInlqX3TCj1iQ4RqkvnTO+2M4Ke8hevmNcf7rYFowbr7yj/9NJv7r\nqRQ43xXNRVqKerFzwxIUvzG5yjcMMpQGz5HcxEQCJEACDSRgFttyq5yXnbZj17fF6t2ao8qlRLmS\n1JHatQlBnw6hKgSgA5bwyhe7tSuJFtTVrdtmwa1dTuQevWkLuTRPwV3HJPjAZS9/Rn2gd03UhbJj\n5hfjXPG7R6v43b09ya8m6gSrbVYC0deMwVTMUk4RwMo1WzD2xDbXi3yJmHhznLsvFad0SMEkpD/7\nGOJb6idEGUB0T7I//xaPDa/92cx7a45bdKeuyMUc5Yft7LYd/X8MR8p5aW/dix9xUvxsqvuqqL8d\n+hWIap4jbqYNO1C+6cMn4w21/U2FFpw7QUWXEQN4ZgreUG/JPjAgGj4zRw0bGEuTAAn4GQEttqXb\n2rotx/t+sGHTl4XKd/soTtu9u5KEtwoxopLEdVKOeMqVxGFyJdFuJCK4tbiuLrrNlm3tSqKFtt5L\nnyi4hYJ/pJaSFS1Kx9J3NJYuikLXaxO5YmWLzkQzNh4WhwkqdEjG7GzkpiXBqt+gTLobQ0yatusV\nA1WnnH7Gr75fgPnqZcFGT3UYsI32wtuii6vh7FlZKHik6gI79qJ8bP42HMMSeqtS+tuZVExzi265\nWS12c55quG1H3YssvLomHwl3VX5IkRby3nL6d8vx2IResmu0FBM3EvM/2ozdHYYZH5I6tXXGNTnv\nOaoP/0YbBSsiARLwNwJacGuxLfuSn09h055CrN+tIlGdOF3nkDpbQnFZ5xD8suMZZQhxupKIONYW\nay22zX7bWnxry7cuW92yrUW23tfZGRbwKQLBGU7Q0ht3TZuM4Vwm3qcexqbuzKCxE2o0kTq9qstI\nt2vHQgeTXJA0Ri0+kw+b6xvBclsR8rasxKOTpmFlvrYE16jSc4Z7JccsLH5zJ8rLi7Bzex5KKr9t\nrHpfRBzunZfoykvDmGmLkV9kU/eVYPu7z2Bg5364MW2LEU6w0gKchizXYjZ2234snnYTZmVXrbah\nZ71/PU29mOpMGRP74Zl382BTy3zapR8rH4V1eqbr6hyMS4huaPWm8uVYqRYf6j/pGWzJL3KGSbTb\nsPGNSmF/1DC5A+c0Rx757wTXzzFNAQ9JIIgJaJGt43xLCMCf1UvqW776EbPfzMXv1QI3b33yvVfR\n3T4yFAO6h2LygFCM72fHZR1OK9F91nAJEVEt4f4k7J/FYkFUVFSVTfLatWtnXJdQgVJWi3Jt9RYB\nLmJbb0E8XX499KC0ePv1jLHz50zAEj8SKrCgO1wglKRMGlLNoh0Rj6fWpCJzlJjEc9XiM/0w3UOL\n8/7f0x5ya8+y9LjCWIRHvCYyUgaqzVl2UW4ZpsV78iMHEu5LU/7ngw03ktyM6eintipJWbPFjtI3\ncaz63+lPMmNYT8yQhWdypaWqyZPGr3ylp2pZ95llAJ5fMRNZ450vos5KsiqHnZpp6d6Z6FYz28ip\ntY0qIRQrcGxfLnJVWKFhmR5asCphr9xMjHQOc+SZvxWbi3erZe9r6TizSYAEApqAtmzLIN3CW1m3\nvz5UqqzbP+Lj/GOwn3F4ZdDacCUJQT9l3e7RTlxJHG5hrAWztmRXdyORc13GbN0WYS0iW5K2auu9\n187wol8QCE6Lt19MDTvZ+ARi8dslKryJK1lTp2Og9tLQmWofO3IuDm1bCvNippWXVVi9OUtx+2Ue\n1FobLz4MMcOx3LSgjbO+qbi2b4Rx2EY34D5QGdEJWFKYgznJegVHXUi9EJq6CHvfTjacTCzxk/HN\nhnTnojpSxCW6E2emY5FerKa7xcN7kRZ46bG7sd7j5uPA5iXw0A0kJs/B5gNluCvOA0ijBg9t6DFW\ncYOx4I70LExNrDnWxKnp2PvxY1WEfYPnyCP/wWhfuSqPe7w8IAESCGwCWmTLXi9w8+NPJ7HikwL8\nPiMHT7y1R4UDPFq76FbCuKv6lXfDJaGYorwTR1xix8UXnDZEsghpsVSL1VoWtzFbty+88ELjXPLk\nml70RhbE0eEBtQDX4lv2FN2B9TyGqAfP+8e5wBqvT41G0MvXWadPn8aJEydQWlqKUaNGYd++fe5+\nZmRk4JZbbjG+gtKrUvEH0Y3nnA7sKta13R6mvsqr+wufclsJim1lUG++IDLCon5pRtQUsGoZYuV9\nUa/6oNwnikpk+cwwWKKjUdkFVYfKlnjcnnplV/0oNPoRadznOcKlHSVFhVDfjiLc0gExqq+S7FKx\n+trSXK+RF6byzJlGae//lZcUoVgaUJI9skO0Wgio9gq8teHtmjC3qbFWqDYsqg2Llzakt/WaIz2s\nWvnrAtyTAAk0NQH52yebLOFern4/yd+/9/e9j99t+V2TNd09sjs2JW0yhK8IXhHIZRUO7FRRSdZ9\n8SO+KzxRZ9uywM3lXUJwRRe1rkOrmgvcSJ21Wbflmt7Emi0CuzZxTaFd51T4dYHa/2r69bDYeRKo\nnUBYAwRnhCVaxa/2YN02V69+odahDStLh1nUSjR0qqUAAEAASURBVIqerMPyQaCyWPWjsPr0Q0nr\n6JhuNULuhXmo2FNe9TY9nUdEx6BbHTj0fd7a8HZNmMtW31SvOdKV1cpfF+CeBEggYAhUMysa1u2z\nDnz1fSk+/fonbNtXgjNqSXdvqU1YCHpFSwhAICaypiuJFtOe3EjMriRSzvySJF1JvFEP7GtBL7wP\n5+/E5zt34MDRU+qTdxvclDIFA2KcWMpLlOVNiZmYaE9CKbAfDI6OBEiABEiABPySgFlwu47bnO2M\nD7+y4fN/F+Hncu8hAJVzBy66EGqBGxWVpIOqwOF0IxFLtHYFMVu2zaJbBLacSzmz2BahLffrTbjK\nMVPwEQhe4W0vwAsp6kW0zKqTPu/6O5TwFmtbCTJu6IAZ6h219JxiI35w1ZI8IwESIAESIAES8AkC\nnsQ22qNb6FD0Cb8N7R298dHX3t1JotQCN/26hOKKzg5EhLpcSZQID1UiWgtpLbh1xBF9ri3fspey\nZuu2WWwLKwpun3hiWqwTQSq8y/Hu72uKbpmFCPfbZhZcOlq96KVeVHtl9S4lvIe32CSxYRIgARIg\nARIIZAKhIecQ68EstgWOOg+Vb6lDrkKvVqPQvVUiQkNaecUWofy2L1GrSfZXq0l2aCOxn5zWcBHH\nZjFttmrrY/N1s9jW1m1pWItsvffaGV4MCgJBKbztBf9EkixhqFJi6gpkzhmHY69MMsUklithSEia\nomLPzVAhzvbB9thw9zIlcpWJBBpOQMWqfjAB4xcMRk7pYgyoxYPJlr8RS979HFFxo5A8Rq9C2fDW\nGvuO8vxlSOg3EYOX5GLx5PjGrp71kQAJBCEBEaSyDew0EDN+OQOlZaWoqKjAWcdZI+JIDSRabP9U\nDMeWdcCwXwNR7dVb5O1xxh6HkIrLlQD38sKMqlAi9XVr57Ru9+1wBiEO7bvtfOmxunVbC+3q1m1P\nYluPR/pNsV1j9pihCASl8C47dsw5+So2cObccUaYMldOlYci+rLrjMVDso6plarUlVp0UpV7eEIC\ntRNQsaq/k/javVzrmHkoaduJ+/vd6FoCfhYKNxfikaGmpTU93NJcWRUVNhXZXPW+tNbI3M3VFbZT\nC4HmCFJFMVELfGY3mIAWqWIhbqtW653UaxJ+/vlnI9KJiG+J+qWfab2XRuTY0dGB8p7TcfDn1thX\nGglbRbhyCvGeLOFncWnHs7isiwMXKPVjWKYdTr9tOdbCura9diMxC249BvPPhfnYe494NRgJBKXw\n1sGLraMHVYkNXOMBsBXiO8nM/RrH1EKFsVTeNRAxo2EEdAhrt0dTldttWHb/QEN0T52Tin2z0zBr\n2H24vngVzmtRyCpt8CQQCWhRsuPwDvz35/9tWAsbe5zywtm9/e9FYk/niqoUF41NODjrk+dIW5gl\nnrWEGJQkItcsvCVPnvMzKgjJ97YQ7CsOw79trZVZWa7UnsJDzuCiiDL0tpxE53YSWVWtCBnSWonu\ncENoSztmoW323aYrSe1ceeXcCQSn8HYtH52bthkFc0cithZ++z/5wLDwIek69KXoroUSsxuLQHne\nMkzMBKwzV+Clx8ahcFAkuo+ajdQ3dmLjAwMaqxnWE2AEDOufKy7yO/nvIPPLTISFNP6v9jPK9zVC\nheK8/hfXu79Cp/gOsIepGYcjz0510a2Fthbd+lye8WMngT0/nsVXRWqlX70Mby2iO0Q5e3dsXY5u\nbUrRJfw4Witx7VwHI9JYqEaO9aI1IrTNYltEuBbc8oFAW7d1f/VeUMkxEwk0lEDj/3ZuaA9aoLyl\n11XGKn/ZavHwMQ9eijXPTla9UCZtldqEO5eyK9j+Gm5zLZOtIu5rI7lRhv+RQGMTsJfbUHbxHSgr\nm6L+QDh/LLuNfEz5Oj6s8spQYitHtGtBnMZp2w5biXrmI9WiQDWCkLuuqVjanhfqaZwesJbzJ6BF\nt8QndsYodr4YZndoZXL+begalAQx2hCLpBYjco3iQxPivr4E5JmRZ1f24uIhQlfEr+TJuXYz+anM\njvzDp/FZQTmKT3qPty1tW8LP4BcXnERsZKnyo3X+DLRq1dYQ2SK2ZTVJ2WQBHWnPKcYrLd/SD7PY\nNlxRXB8QzM+5+bi+Y2Y5EtAEzuE1Yn2rH++jhyJtnvPr0twFKeiu3mq2Ts8yBjTdeguG9w9Bz8Ep\nTmu3yl3y59vg/VUNP2bBrvsAgRIsTIhChw4dMOejwir9CbN/hUlRHdAh6hZsd342rHL9XE9sOxci\nSrUXFTkbh6tVkrd4nHHtur9tr3bFf06P6fc4/KfL59xTESsiukWs6K/pz7myOm6U+rUoknaZSOBc\nCWjxqsW3Wwi3icR36qWqlV+cxPyNx7F270mvojuilUPF2q7AmF4/4z9iSxDfsRwXXtDGWKGyffv2\nxu9V+d0qW7RaLVj2snS7Xr69Xbt2hhAXQa6t4NrqLcK7uvjW/T7XcfM+EghKi7dMe8Ijb2PFT7dj\nfFp2tacgG9nyBpkrpa7Yi8lxlN2aB/dNQSAaCROT1LsEWUhbtA6pIye7X+Qt+mQ1jI+E1kT0aER3\nJ/O3Pu/lpWJavK78MFYtdH4IHXd1j6YYbJPXefLkSSQkJODKK6/ESy+9hC5d1PrOAZhE+OpNvpJv\nDuGt2zELEkFLMRKAD1gTDcnTBzZ5nr4/dgqb9xZh679KUF7hfYGbsNAQdLc40KeDHT0uKBfnb+MZ\nDAmJdFusxXotAlqLadnrY+1aYrZuyzNs3vhcN9EDwGqDM6qJc96jMW7uRhTevR2r312HT/NysO9Q\nqboUhe7deyH+uiEY9Zv/QHw3im7+nDQ9gYG3JwOzlODNeh07iiZjuBHIpBybls82Gk++f6z3F4Eb\n2sXoQbh/KpCtwmouXLVDCe/hRg3l+z/CbOODZzLGXtutobX6RPm//vWv2L9/v7F99NFHSE9Px8SJ\nE32ib03RCcPFxCW8RRg3ZdLCW/vANmVbrDuwCGjBrT8syv7H42X47OtifJh7BEdLT9c54I5t1UqS\nKipJv05nleOTjq7kXCVSRLQW2yK4RVxrgS3neqvuTkKxXSd2FmhkAkFr8dYcY+ISlEVbbTqDexJo\nAQJhvW9EuvJ+mpGdjeUf5mP4XXHqtYPdyFTCWL1uiYm/6eexV7a8xYiyTvd4TWcmq7jbb9SIux2B\nG+9NBzJUnPrZy5GfOhxx6rfBV6vfMm6zpk5EvJ9+5rz//vuxa9curF+/HuJykpycjOXLl2PRokXo\n1s0/P0zouay+1yJGxLe4gTS18NbtyF63TWt39VnhuSYgz4gk87789Bns+rYYm5R1e/d3P+mite7b\nRYSgd3vlDnoR0K5VpTiXqCRabGvBXZvQ1mJbLOtyj3YfkUb186v3tXaEF0igkQgEvfD2xNFWUmJE\nOLeHWxBd48UzT3cwjwTOl0A0Rt8/UwnvBcj433V4Wglv+9Ysp5tJ0v0Y0s3zj2p4uDNAodWqVln1\nkHLVyqttW3sOXhg9cDRUi1At4t2cpxGXUIaVM5xuJlPGJXiozT+yevbsiQ8//BAZGRl4+OGHUVpa\nivfeew9btmzB/PnzMXnyZP8YSAN6KcJGi+EG3NbgouZ2tJhqcCW8IaAJmJ8LOdbn+36wYdOXhdii\nBPdpu/cXJcNbhSA2OhRxnYBfWE4bdTgt007hLEJai21t3dYWbdlroa2FuRbazjqcLiUyCRTbAf0o\n+uzgPP8199nuNl7H8te+hhU7DqLf6OkYN0AvUFKE16bdhJSMSifvmYu24dlpCcHsk9N40FmTVwK9\nb7xNRdtZgOzsV7D98CSc/keaUX7mvSPdPt/VK4iIm6z+KE2unl2/87DeuHNeEhYoF5dZWbvw/3Ut\nVnF+JKUiaUB0/erw4VJTp07FLbfcgmnTpuH999/HTz/9hJSUFLz55puGKP/FL37hw72vf9e0uDH2\nsmZ2EyZzW03YDKv2QwJaYJufkZKfT2HTnkKsz1WL0P1caa2ubXidLaG4rLNaUVK5k6jYJkaxELWU\nvLZUa7Fdl2VbW7WrC26pkGK7NvrMby4CwSm8bdtx/6gUyGuVc26o/Jp++zMTqohumYQF0wcjsu8h\nzB0eWF9RN9cDxnYaQMDtd52LZ574k3IDkXuTcOfQ2AZU0rCibt/ytBcw+5i84wAkKjHedC02rH/n\nW/riiy/G6tWr8fe//x0PPvggStS3WR988AGuuOIKPPfcc7jvvvsC5g+xIXjONo/wPt954f2BQcAs\ntmVE8q1LmXIl2fntMazb9SP2Hfm5zoFGRYSiT0cgXr0D3S7M7rRuq1VxzGJbBLdZbOtjyTdbt0Vw\ni7A2C27dAQpuTYL7liYQlOEEbfu+MEQ31JLxU/Ry3EqMp80SKa5SYirWbM7CTNe392kvrHNF+XZe\n5v8k0DQExO96nlF1tnKTMJ7GqckY2ITG57De18MZWTMLCzKcz//vbu/fNMNrwVrvuecefPXVVxg7\ndqzRC5vNZljCb7zxRnz77bct2DM2TQL+RcBs0ZZjEdtn1Lb34E/IWLcP0xd9jpfW7PcqusWVpG+n\nUIy5rBUmWe0Y3K3CEN0ijsVVROJrS6xtCfVnUetoSOi/qKgo92YOAagXwzG7mJiFt9RJ0e1fz1ig\n9zYohbdeDUeWjO/smuH9773q9KdVL7JlLZmDkUPHIG35EufV7w5SeAf6T4KPjC964BioYCPuNCf5\n+iZ2c4rB7RLeRCfrPNzc20/fqtRjqGXftWtX/OMf/8CyZcvQqZNyHlUpW73MKv7x//3fapl1JR6Y\nSIAEPBMwC25DbKsIOj/+dBIrPinA/Ys/xxNv7cFHe46iQtZ095SUAO6qopbecEkofnc1MOISOy6+\n4LQhirVFW2JpX3DBBYbYNgttEd+yyTUR5Fpsi+XbbPEWgW0W3Z66wTwSaGkCwSm8XVGIjCXjZQZs\nO/HMRON7fWDqY7gl1umBE9FzIFSQNxVfOQcHG3HxEqmSiQQ8EgiLw72uxZ3Uw4jxg/T7Bx5LN0pm\n7xuTjZVcpbLkWWPQ9C02SrfPuZLf/va3hvV7/PjxRh0nTpzAAw88gGHDhuHrr78+53p5IwkEGgEt\ntkVoy7FEzbGdPK1ekjyCvyzLxYxXduGdbYdw/KQO7VeTQNvWIRh0cShSBoTg9n5ncVnHCoQ6zhgC\nWYSziGiz2DZbt0Vsi3Vbrks52fRLlFpwm4U2Lds1+TPH9wgEpY93ZNdYZddWelq9Stan/1dKdGQ5\nv9ZXeYum/dptYSzZsQaZMmeJo3CpXl9EzplIoMkI2FHy0zGjdmvqBMQ1g/HZXnYCrhYx8ea4JhuZ\nL1UcExODt956y7CAS/jBI0eOYOvWrejfvz+eeuopzJw50wg75kt9Zl9IoDkIiMDWSQvvM+rdgb3f\nHzeikmxTcbftdXw71CYsBL1UVBJrVyAmssIUlSTEsFCLaJZNRLT219aC2uwyImVEWGtxLXtJWmDr\nve4v9yTgDwSCUniHdRuJF9ULZMNkwRK1WqDTs1VN18ws3DNAK+wivPH4LOcc9r+o1qgS/jDJ7KMf\nEbDlYFGaM6rO/b8d1Cwdz1m5SH0IVSnpQQwJdHN3NaK33norrr/+esyYMQOZmZkoLy/HH//4R0OU\nv/rqq7j88sur3cFTEghMAlpwa7Et+yM/lWHzniJkqzCA3qzaQkR5UuOiC4F+MSG4tMNZhDicbiQi\njuWlR9nM4tosurUIlzJmsa0Ft9ShRbbeB+YscFTBQCAohbdM7NBHViLXmon/++BTHDvZFpfffCdS\nVOxit4HRdhAbDUVuxYppI9xW8GB4KDjGpiNwyggcUupec616S/nvveh61yAVI+P1h8DqpRrx3J6P\nF12xu2dOH+H9A2bFKaNhZ+yTRuxDC1fVoUMHvPHGG7jzzjuNFy4PHTqEzz77DAMGDMDjjz+ORx55\nxBADLdxNNk8CjU7Ak9i2lVVgxzfH8OHuQhQUnaizzXZtQnB5l1Bc0dmBiFBTVBKX2Nai2iy0tQCX\na3oT0W22bpvFtnSCgrvOqWABPyEQtMJbVsiJHznZ2DzOlWUAVpm+cvNYhpkk0CACkRh0fzpSE6PQ\n1fOaNojqMQpz5sSj34jkZgrpF4lR8+apVSovQfJN3kNmRva4DulzUhF1lYr9FYBp9OjR2LNnDx56\n6CGItfv06dP485//jJUrV2LJkiWGG0oADptDCjICWmzLsLV1265eiPyy4Cds+aoI2/YV42wdf/si\nzpTjkm4XGCEAO0WIf/cZg6KIYy2kteA2u5LolyF1GbPY1tZtqUiLbL03Kud/JBAgBIJYeAfIDHIY\nfkQgDAPGPYABXnrcbehdeGyolwKNfSksFncpi259UljMADzwmLfe16cW3y4jL3a98sorhvVbYnwX\nFBQYy88PGjQIjz76qLGJeGAiAX8joAW3FtuyP3zsJD5SYltWlLSV270OSdyrux/6EnFfrkafaDtC\nr0l1+W47V5PUbiLaml3dwu1NbIvA1iJb7712hhdJwI8JBLXwLj+ch3UffYLdXxaguAxQkYxqpLKy\nY4jsNQGzHxhe6YZSoxQzSIAEAonAzTffjC+//NJwM1m0aBEqKirwxBNP4O233zas31dfreKhMZGA\njxPwJLbFV/uzr5UrSe6P+F4J77rShZHKlaSzWlGykwNtXnsCOPYjMGio4bMtVmqz0PZ0LIJbRLnZ\nuq2Ftllkm4/r6hOvk4A/Ewha4V2w9kn0HDW7fnNnvRwPU3jXjxVLkUCAEJAwZgsXLsSECRMwZcoU\n7N+/3xDjgwcPxsMPP2z4f0t4MyYS8CUCZrEt/ZLzCvtZ5BaUGJbtnO9KVMx67z2ODA9Rq0mGKlcS\nB6LbiN+23bBIh6goJCIaWp2xI1zF09ZC2+xOoi3bWnBrv226knhnzqvBQyA4hXfRRqRUE92JSUno\nrmKG1khqhTsM7AkPxvAaRZlBAiQQeAQk6klubq7hZiIL7Ugs46effhqrVq0yfMGvueaawBt0gI5I\ni9KmHF5LWG7N45JjvR08ehKb9hSqrQgnTtXhSqLcPXq0D0G/ziHoGaUikrj9vJ2uJIagljjayuUk\nHGfRWv291MJb9lpwm63bZsu2CG9JLcGnKeebdZNAQwkEpfC2HfzSHUJw6qLNeHrKUEQHJYmGPi4s\nTwLBSUBWy1uwYAHuuOMO3HvvvfjXv/6F/Px8XHfddUbM7yeffNJYUS+Q6Zx11GEm9eHBa2G6/Kvl\nWPWvVU3S01ahrfDXYX9V/s99jPqbQ2DqcWmhLfvin09j+9dHsT63ED+UKB/KOlKHtiEoP7sbh0o/\nQNEPJ5Dzg8MIDRgSqvyuZVPLu8sWGqbiaf+yCKEXA6HR+xDy8cMIbRXqvK7Lal/tENWo2tSdaNe6\nHeaPmG/s6+gKL5NAUBAITrkZ3sY5uYnpeG7aUO8h1ILiMeAgSYAE6kPg2muvxRdffGG4mTz//POG\n9ftvf/sbsrKyjJcyxTreEklbFi+LvgxdIrooVwLnSoNamHnq08vrbfjVETu+jm6F8aOjPBUx8rSA\nFIvlFR2ucLocKIHlL0mLUmHyyhevYEPBBiiP40btvrRxRv0bcvEQXHLVJW6rrmbXmI3pOTXvT1Wc\nQa5yIdm8twiff/uT+Jd4bVJWk+zbSc1nzFlYwk4jacWfcLLipCG0IYZpmV5BJJucq72Ib3RW0Uvk\nPLQEKFjtLCdlzZs61UnZ3g0u9111H66+6GojXKD0uym46Da5JwFfJxCcwlvPSvYOHCiHCqWmM7gn\nARIgAe8ExK97ngrBKEvOp6SkGH7f4v+dmJgIWQVT3FDEP7y5khYxsh918Shca7kWJ06cMBYDstvt\nbhFevT/XrX8cMSe+RLuoHsjo+7fqlw1xJGJbXAjatGljjCkqKsotmnS7NW70oQwRebKJ6BYXIUP0\nOUJgV/+aIkkbsom7hU6NwUn6rZMek+wP/HgCH+35EZu/OopyJb69pVbq+YhVq0nGdQZ+0a5CaeUK\ng8tZtSqlI1QxClPfaLhEtllwu48Nwa1akH2I6k+IYiiCW5LeSzf1sXHB+Z9+DuVMu5yYLvOQBIKK\nQFAKb0v8SKSqNePTcjORnJqE7fPHMWJJUD32HCwJnD8BiWySk5MDcTMRIS6RT1566SX885//xMsv\nvwyJjNLUSYs6ETMi9kQky4tuInREmMm5tn5X74sWQFKHp5dEJV/XK8Jb+/Hq6BTV6/PVc+EgYljm\nR/ZNmaQNYS9JOOn5Odc2pe+SZK+3wuNl2LGvREUlOYLC485FrbzV3+mCULWaJBCnrNutQyTmNoxn\nQuZWNqMNiZApnkRm4a2t3YbQdl3Tlm11WkVgexDbUkQnu3oZU7jI86iZ6L0uwz0JBAuBoBTeUEuT\nTJuXirRRachdMB63YAnSJiklrn5p1kyngQt7IyHO++IiNe9jDgmQQKATEJErwvv22283fL937dpl\nxP4eMWIEJA74s88+C4kN3pRJCyhtmRbxJ0nORWhqwVa9D63CnFbZUCUQLR5eLBdhJJsISBHdkSre\nqhbguk1fFk963NraLQsiyXFTJhGXwl+4uEWtarAhnAwhrO4x78tPn8Gub4uxSbmS7P5OuZLUkdop\nVxKJSmLt6oAlvNK6r+fN/KHAaEe8LwWNWWxrwa3Ftt6b265DcOuip06dMrjo9hvCQ9fBPQkECoGg\nFN7lea+pUIJp7jnMXpCCwQvcpzUPrOko3v0AomteYQ4JkAAJ4MorrzSWmRc3ExHiIvLE6v3+++8j\nIyMDt9xyS6NT0uJF9locizAWISVCWQSgtnZrEWfuRFgr56//Vsrq6enDgdQrm4glLerFMi51m4Wb\n7oe5bl85lnFXEd5N/IKoWHaFu/DyxLw2LuaycqzP9/1gM0IAfpxfhFMV3j80hKkXHHt2EOu2ik5i\nUQYjHQLQ9XxIn/Qm86c/GBgfFNSy74bwFiFdXXBLp80C23xc24Cq5Usb2uItbevx+fKzU20IPCWB\nRiMQlMJbxUJqWOrYxohd2rCbWJoESCCYCIio+ctf/oJbb73VsH5/9tlnOHToEGQp+rvvvhvz589H\nhw4dGh2JiBcRM3pFTTkWAS7Wbi28PTUq/ZUk5du3b++piCG8df0iuPUm90i+PwgnEXnCQoTfWbU0\nelMmacfMXdr2xkgLUNnr7YeSk9iulm3fsPtHHFMRSupKndupxW26hOCXHc+qv1PObzukTfkmQ+ZJ\n5lnmTcfalnMR3VLGEN1qb/xNFC8cEdVaWOu9dMB8LOcNTMJeuOgxNvB2FieBgCIQlMI7Im4ySouT\n6v16TVikhZFPAuqx52BIoOkIXH755fjkk08gUU8ef/xx4yXH119/HevWrTMW5BFh3ljJEFhKREkS\nQSXnsjeLHC3uqrfpdjVR93tyNZHyUp8k7SIgQk5vkufrSY9d9saHEBVloylTddHtqS1zn+S69Etc\nSXK+PYbNe44i79/HPd1WJS8qQlxJQnBFZ6cridQpoftkTrTYri64tfCW6zKv0q6Ulz4bVm5PL0ae\np+DWna4PF12WexIIdAJBKbxlUi3RdBwJ9Ieb4yOBliIg4uaRRx7B2LFjDev31q1bceTIEdx22224\n88478cILLyAmRr3x1khJBJSIKdmkbRFVkrTI89SMFs6yF//t2pJZfOs29L36Wm33+kK+MNBbc/TH\nU1vmedDXz6p+fX2oVC1u8yO25hejog5rfLgK59cz2rnATQ8VlUQnmQMR2XrT30pooa3P5bo8G3ru\nxAotm3Eun6H0lwGNJLZ1/2Svx2zmYL7OYxIIJgJBK7wrJ7kch/cfwP6Cw8AF6uvWEz+hdUwsLu3b\nG9EMM1iJiUckQAINJnDppZdi8+bNkBUvH330UZw8eRJvvvkmNmzYgBdffNFYkKfBlVa7QYSXCBrZ\na1Gl99WKVjkNDXFarOU+EWd1JSknqfq+rvt85XpziD4tMPWYzef6uKi0XFm2C7ExrxAlJyoFtL7n\n/2fvXACjqq71/83kDSSQQAICGpCHASVWrBeqggYfBamEW0FbiS0UC1yvFawPir3QNrZS9LaA13IB\nq3Br0FqoJbT+sa0SAUUoghoUohAg8hCSkJAEQh6T5L/WmVmTk8m88p5k1taTfR777Md3hpnfrFl7\nbde8X4wFSX14q4O1TlxJ7BFJGKRdLdsC2pwLjHPOrwne+PkZ1n96zfD9RuJH2wbA7ToWPVYFVAH6\ndTKYRcjbuR6zxs9yrmLpqsWcZVvx6ycn6qRKV2H0WBVQBfxWgGFn/vz5uPvuuzF79my8++67KCgo\nwH333WdA+KpVq9CvXz+/63NX0AzDDHhy7K6s85wJtPwBdb7Pr3qdDQTnjgC22ZWjnF1JjpyjEID5\nyD1zwacwvciVZBjB9tXkStI91BF/nF1JCJTNsC2QbbZuu8I2l+fnJtAtjfM52eSc5qqAKtD2CgQt\neJ9+62mKbLLEq8JrF07C2l2rUbR5rsK3V6X0oiqgCvhS4Morr8S2bduwevVqLFy4EGVlZfjLX/5i\ngPjKlSvxwAMP+KrCr+v+w7HJgu2wZvvVgBZqrIC4jlPO4M3QbSPXkZzT57GTFrfZ/UURbA73n8Y3\n28+Eh1pwJS1wc1V8HQb2sMdhFzA2wzTDthm0Bb65jEA5Q7aAtnypMr8upF5PfdHzqoAq0HYKBP7s\nmLYYuy0Hz5mgOy19HXZnH8KRI0dw/PgR7HtnA+ZQWG8jZc5D+qbctuiF1qkKqAJBpgADz3/8x38Y\nq11yrG9OxcXFRtQTjn5y8uTJIFOkkw+XgdsE3Qzc+aWVyNx3Fo+uz8bSN3LwXk6hZ+im18OAnlbc\nNtSK2aOBCYOqDOjm1wmDNAN2t27djFVDeQIsrxzKoR8552PeunfvbpThUI8SZ10g3NXabYbvTq68\ndl8V6LQKBKXFu+zQdkjY7mXvnMKTExoujpOYOARrPrkDV09NwPxMYMWqt5E+bYhGNum0L3PtuCoQ\nWApcccUV+Pvf/46XX34ZP/7xj1FSUmLE/L7mmmuMaCjskqIpQBUQ0ObuOfbD0RMDQm5G3vGxWJbz\nlc+O96C42Vf3teJqsm5HhTis2y1wJRHrtqslW0Hb56PQAqpAuysQnBZvkTllNf7DBbrlEhCPOU+v\ndhyWoKL+gu6pAqqAKtAqCvzgBz/AwYMH8a1vfcuojwH8wQcfNJabz8vLa5U2tJJWUEAs2wLdlFPg\nPvS13ICxoUtwd+RmfD1sIYWOjPHYWCS5kozsG4LvJIfg+9fW4Pq+VQZ0MxyzuwhbrMW6zRZt88aW\n7R49ejSwbou7CVu3za4lAt8K3R4fhV5QBTpUgaC0eDsVj+F1cj2nS+X59otZu3C0jFA82nNZvaIK\nqAKqQHMU6N+/P/76178iIyPDmIRZVFSEt99+G2z9XrZsmeGaohDVHGVb4R4Bba7KsR+DK5AYMhGD\nQ+9GhKWn10bI1Rr9Y+yrSQ6LrcWmja/iZ9u3G6D8u9/9zhl1RPy0Xf23GarFbUTg2p11W18fXh+D\nXlQFAkqB4ARvieCUuRkfF8/EOA8hvUvPXrI/rJRJGKnQHVAvXO2MKtDVFEhLSzMs3Q899BDeeOMN\nXLhwAf/5n/+JP/3pT3jppZcwZMgQj0M+e/Ys+vTpUx8ezmNJveBTATewHWmJwwDreAwJS0VPi+fn\nIHVHR9RhJC3dPpKikkSFVDujwXz11VeGfz/DM/tmu4K2ALjANvtoC3C7s2QrcIvimqsCnUeBoHQ1\niR72NaQazygT4299Cjvzil2eWAVy3noeg1KX2s/7sIy73KyHqoAqoAo0S4G+ffviz3/+swHbCQkJ\nRh3byUKanJyMFStWOBfGca185syZWLt2retpPfZXAYZt2fge2rfSOur9rGMxNuQX+FbknzE6/Mde\nobuqtgTh1iOYeEUp7hl6Acl9KhBprTGgm4GaXUkYqCW5TpQUVxJezIgnSaoriSiluSrQtRQISvBG\n9BgsWW1Hb2QvxfhBcbBMmIq5c+dSSK+puNYShRGT5juf9Oqn79GJlU41dEcVUAXaWoHp06fjs88+\nw3e/+12jKV5459FHH8XNN9+MnJycBs2vX78eb731FhYvXmxESGlwUQ88KyCgzTknx3FPXIlrQx7C\n3eGZGBf+LC4PS4GlLsRexuVvbV0Nzl7ah3/l/wpbcv8dobbt6BlaYcA2QzYDNPtts3Wb/bQZpiUx\neAtscxkGbjNsi7Wbrdpm9xK5X3NVQBXonArUf/3unP1vdq9Hz30FmXkPIHUphS3hlJWJtVn2XfPf\nBRv2Ye4o9TMxa6L7qoAq0PYKsOvIq6++aiy0wyEI2U3hgw8+wHXXXYef//znePzxx5Gfn28AOffm\n3LlzxnmOCa7JiwIC2lzEsR9l6UNRSW7B0JB/R7T1Ci832y9dsJ3A8dK/49j5LaioPu8sb7E2nCjJ\nQM0wLWH+zODN1wSuzWBtdh8x7zsb0R1VQBXo1AoELXiDbNhTntmM/O/txBtbtuK9XbuRfewcPcze\nGDx4GK6fcAsmp96N0YkK3Z36Fa6dVwU6uQKpqakYP368Adj/93//R5EzKvCTn/wEmzZtMiym58/X\ngx+vgsm/3I0cObKTj7p1uy+rSQpocx5iCUc/y79hUOgkXGa92emH7anlyppinCrfiSPFm1Fy6Uh9\nMV6HiH87pi0sMsywbrMlmy3cElubgZst4GZXEz4nwM2VCWRLzuc0qQKqQNdTIIjB2/4w45PGYS5v\nXe/Z6ohUAVWgiygQGxsLdinhZeYZrE+cOIEPP/yw0ehsNhsWLFiAf/zjH42uBdsJgW3JeXEb3u9V\nNwxXhNxJwH0XwizdvcpSW2dDfsU+sm6/hRPn36WyNfbyDNsm4KbIgkTyQERUhPFlSNxIxFebgZut\n27xJ4n2BbMnlmuaqgCrQdRUIevAGbCguyMfZM2TtjukGlJYjLKY3Egb0R7Sq03Vf+ToyVaATKjBp\n0iQjKsbDDz+MV155xe0I/vnPf2LLli2YMmWK2+td/STDNSfOGbZrampQWFZJy7ZfQGL5Elwe2cOn\nBBerT+B02Ts4VfZPVNsoliylXqH06ydbtgm4LSH0h/YtFJub3UssYeRiEhqGq/tdbVi62eItkyQF\nuhmu2cItiY87GrilD2N6j8Gn5z81NOP+iYbS1wY5aWok6j8NoMElOZBxcR4dHo3+3ft3+Filb5qr\nAh2tQBCjpQ0HtqzC4tT5cHh5N3oWaekb8Msn7kdiZKNLekIVUAVUgQ5RgK2p7G7iLT322GOYOHFi\ng8l83sp39msCiua8osqGDw8XYgct2X7gS4JnA8g9Q3dYXRVZw4vQu/Y0wmpKgW6DaPuhM5wfQ7NY\nrTlKCQO1RCvhyZP8XPiXCZkkKX7dYtkWGGWtBXg7UnfpA4/rv7/+3ygrKwNP4q2qqjK+rPCXluYk\nrpfHzNqwFuxy0zOyp3PMZh2aU7/eowp0dgWCFrz3PD8NY3k9eC8pY8kMZCzZi+xLyzFK4duLUnpJ\nFVAF2ksBDje4ceNGr80dOXIEy5cvx8KFC72W68wXBbJ5DLwv25EzF7Djs7PYeagQldXe4dFKzt69\nrGXogwJE1/CCaXWGNdsSGmkAt4A252K5ZqCU87zPvtoSuYRzcS+RMgyaYukOFOjkfki/uJ8yDv51\ngPvKuVnfpr5ORC/WRvTiegNl/E0dj5ZXBVpTgaAEb9vptzDHBN2pi1Zi3qQxiA2vom/7QHHuB3h5\n1kKHJXwF0tK/iX3PTERQitWarzatSxVQBVqkAK9qyYvq+JN+9atf4fvf/z769evnT/FOU0aAUECb\n8zPnL5EryTlsy8433Ep8DSYmtAqXhZ9HgvUcLDVVhkuKNaKbAYYCzAKkDNwC3ZILWEoZnkTJ1l2Z\nTCnlBHB99acjrnPfzP0X6OZ5Ai0BbzPQ85cQ1kQmlwp8K4B3xBPXNgNFgaBkyUtn8pDteAIrd+Tj\nkXHxDZ/HuHGYMjMNax4YgHkZQPbuPLCXX2zDUnqkCqgCqkC7KvD0008bIQT9aZRdBxYtWoR169b5\nUzygy5hhmzvKbhAVVTXYd/QcWbfZlaTEZ/+jKYT25dFVSIwqJVeSiw64DCfYjjCsvALLbKHlfd5k\nX0CbwZH3BSB5X+CVIZPhW+6RMoEImQLHPEaGYtaTz/EYGLyb62YiD4HHzhvXzXXyJvqKHpLLPZqr\nAsGiQFCCNy1IZk8pqzHHFbqdT74/Zv90HYH3LIrxvRXHyuYiViMLOtXRHVVAFWh/Bdh95Ne//jW+\n/PJLY8vLy3ObV1dXG53j8IO8BP0NN9zQ/p1tYYsC21yNWLd5P+dkCbZ/VoBdn59Dlc0RZYQvuEmh\nNJdxcJwVw3vXol9EOViXmhorgaU9mokAtcAzQ7OAs8A3X2OIlJybMUM17wuky/1y3U2XOvyUAK+M\niaGYz/EYBLrNeje1w1wXb1K/aML1B7IuTR2nllcFmqtAUIJ3WFiEXa+s9/AJAfUYD0BdfPqEvVzy\njWQpaa7Eep8qoAqoAq2nAIPSsGHDjM1drQxNZ86ccQJ5cXGxu2IBe06AW+CP84LSCrJs5yPrQAGK\nLpI/oI/UL8aCpD4WAu4ahNCkSXtddiu2QKHAMueu+3JOQFFygUpuns9xkvr4mOFcAN1c1igYYH+4\nf9xX6T8DMlu6xdotz6Gp3eb6OEm9okln0aWp49XyqkBTFQhK8I5MmoxlKcDCrAyMfXwSStfc33hJ\n+IJt+OFtSww90x66HS7OKE3VWcurAqqAKtAuCjDwXHbZZcY2ZsyYdmmzpY0I5EnO8Hex0oZ9R87h\nbYLtI1/ZQ/p5a6dnFIO2BSMT6tAj1D45kLWwWO0Wa4FpzhkCxe9YLNx8jq8JQAs4GnU4YJLb52Nz\nkuuSC6SbywTavoxB+ipjFv0lb0m/RQ/OpR1ptyX16r2qQGdXICjBG4TRs5auxMKx84G1M3AzeXC/\nMPcGhDt+nkXVCbwwfrozzODNw4D9e/bA/uMtUIVu+NqYUY1hvbO/GrT/qoAqoAq0kwJmuON93mpq\n63CIXEnYuv0BTZa01TjWdPfQp3CKoz04lqzbZBkZ2MNm1CHAZwZt3ncFbTNwi1VWAJFzTgKKknvo\nRqNyvsp7qqc9z0sfOWfteczmZ9IafTG3wfXJcWvUrXWoAp1VgaAE74qc9Uhg6Hak7LXzMH6tHDXO\n5912vcvJFOwu3ebRRcWlsB6qAqqAKqAKOBQQuONcNo5KsuNgAd79tADnfbmSECgOYFcSgu3hcRT+\nr67aADqGOgFo8SuWnKFbQFss3mLdZuAU4OY6BA4lb8qDa849Tam/tcu69tf1uLXaa6t6W6t/Wo8q\n0J4KBCV4t6fA2pYqoAqoAsGugBm2WQt2JSm7ZMPeI4V4O/ssjueX+5QorpsFw/pYMTK+Ft1CHNZt\nWkbS6vCrZpAW0OZcYNsM3ALbDOjuYJs7EYyQGIxj9vmC0wKqQBspEJTgHZk0E6VFqbRYfHNTKK3G\n1dx79T5VQBVQBbq+AgLbPFKxbNcQcH+aR64kB/Ox53AxuZZ4X+Amgj6hhsSFkHW7Dpd1Z9i2Oa3b\nDNGyuYK2ALhcF9AW2OackwCn5MZJ/aMKqAKqQBsqEJTgzXpG09K+nlIZRwEgZWxh0YiNDFqJPMmj\n51WBLqWAGRBbe2DBCHSip8A256fPldtdScidpLRcZsu4V5ucPTCglwUj4snCHUvxpWl2Dddhsdij\nhghMC1y7QrdcN8O2ADc/D3kmkrvvhZ5VBVQBVaBtFAhaqsx5az027j2BEZPnYdpoiVlSgPVzb8es\ntbK8DrBg9W48N3eMrlrZNq8/rVUV6DAFGOYoeBqOnz9ugB13hM+1NAnQcT6o1yCQB7ET9lpad6De\nL7pxLlsJAfa/aILkOwcotGHhJZ9d71l2Bld/thUj4myITJvtLC8AzUAtsG12I5FzfJ3LSnl3sM2V\nyvNxNqA7qoAqoAq0owLBCd5le/DQpFnIIqHTb53nlHvPs/c1gG6+sGLeWEQNO4VnJvR3ltMdVUAV\n6LwKmCExfWc60t9Lb7PB/Ozmn2HJOHtYUm6kK0GfWUceGx9X19Qi+3gxRSUpwIe5xaj18UUmKsyC\nIb2tGNW3DnEPzkCdjSZK3j7F0ElAWsBacoFuvi6bGbYFuM16dyXdeVyaVAFVoPMqEJTgXXb4YwO6\nkZyO2bJyJcH40oWM4pRSFmHrL8bi7w+nYgUZv5c+/w8smjBTwwfa1dG/qkCnV0AWCjlXfo6iYlA4\nNUvLLd2uonC9heWFxtLkDIO8dfYksM3j4H3ZThSSKwmFANxOriQXKrzPnrHSLwEDyZVkZIIFg3va\n6PcA++qTDMchVG8o6RTarZtH67YZthm4+T6Bbd7njZPkxoH+UQVUAVUgQBQISvCWJeOTJ9+ABMeD\nyP3ry4643cnIXJeOiYmhuPX1dVgxYhZw7ARF+ia/8AB5aNoNVUAVaJ4CAooM3rw8dk1NjQFohJDN\nq9DLXQx+XD+3w7AoICi5l1sD7pIAt+jHefGFKuz+opBcSc7idFGFzz5zVJIRCRSVpE8dwq31UUnE\nPSTUSsuW03eT8HBatj0mxm1UEikrX2RYS9mkA51RX+m75qqAKtD1FQhO8HbM7cleugN5z0zEkLL9\neHaGI5D3nMW4i6CbU+Sg65FGeUb2Ppwg8u6v5G3oon9Ugc6sAEM3A3E1LZjFeVsmaUfgkMGxsyQz\nbHOf+bjKVoNPjhZje04B9h85T19XvH9h6UauJBwC8GqycMRG8CRJe1QSBmeBaHEhCQuxIJweh3FM\n4M05f2GRcgLbYt3mPglkS87nNKkCqoAqEMgKBCV4R/VLRDI9lWwsxdBrDyKFbN0OJxOsnvtN50TK\n4r1bkcFPL2UShit0B/LrWPumCvhUwGytZSCuqqpqF/DmdgQeBWYDFRSlfyymWa/jZy9i+2dnsTOn\nEOWV3r+shJAV+gpaTXIEuZIkxpDPtksIQNaCgZrBWvy1DdgODUEYGUVCw8jVpHt3p2YC2vLlRbST\n3OeD1wKqgCqgCgSQAkEJ3qH9J+KFZakYvzCT6LseurEgE98fLYRdgFd+ttD+qK69TN1MAuhFq11R\nBVqiAAMlg7e4mrSkLl/3mtsxQ62v+9r7uvTNDNsFpRUUlaTIcCU5c963K0mf7lYKAQja6hBmqXcl\n8XuBG7J4h5CrCYO5lVaadAVuV024rwrfrqrosSqgCgS6AkEJ3vxQxj25CdnJGXjt7x/gXHk3XH3H\ndzBr2hhEyhMrO4Fthhk8GRvn3um0gstlzVUBVaDzKWAGS4ZidjtpyyRuLeZ2AwUW2U2EpyGa+1ZZ\nXYP9uUXYeagAHx0v4Yte5ekRYcFQciUZRa4kMWSuFhgWt5AQsmIXVxUjxBJCft3hRh5mIRcSC0Uk\nqaOtNhRWG7md1BFsdwfIzRuWkIuwXDxttCtaueZ80UpxvQdED2hQzjjQP6qAKqAKBLACQQvevELO\nqIkzjc3t84kejc0+PnTc3qcnVQFVIKAVENBkKOb9tkxcv7TT1m35Mw5PffjidClFJTmL9w6dQwXB\nt7fEkyATY+3W7SvIlYRiADonOLILCUO3+Gev3LcS6z9bT2ZsqpE3DuzCORM/73Mu292OfWwCVtHG\n532kFXeswI++/iNnKQF05wndUQVUAVUgwBQIYvAOsCeh3VEFVIF2U4AB1BOEtnYn2rMtT32XsUpf\nOK8hwI6gG04VXcKS1w54utV5PqEHRSTpa8FVcXVksbZbt9nq7OpKwvAtW5mlDNZIK2qt9MuCgLbk\nAtaSc0vmfWfLnnfyL+QbbkNiYfdcUq+oAqqAKhAYCgQ9eJ/O2Y8P9+/F8cJKVFRE4PZZszE63i5L\nBS0dX0aW8fhY8fsOjIemvVAFVIHWUUCAtHVqa1xLW9ffuMX6M9K25Gx5Z2v2vtxz2HmwEFO/uoBr\nqHhNjWerP7uSDKcFbq6mBW5iwurjczPoyiRJ80RJ2WfLswHD4QTmtPEKoQZ4c/cYrl0B2/WYy/mR\namprnBNkxdotuR+3axFVQBVQBdpdgeAFb1senp81CPMzGmq+7JZ7Cbxj6WQx1t4ah/m0gM7KfUV4\nZDSf06QKqAKqQOAqIJDNPeR9Oc45WUJRSQqw6/NCCglo92svGrcA3SsvoDLMObPFGBjH0r6ydwiS\naKLk5T3qQwAy0LrCtmtkEgZvLsftMug7XUu4Zle4dj02Wm/aH54gy2EhuU0GfYXupumnpVUBVaD9\nFQhS8K7Alv9sDN0sf2SYPIRoDJ9MQQezs/HSmx8ReE+QC5qrAqqAKhBQCghgC2xz/lVRuQHaWZ8W\noIgWu3FNJ+MGNzjVL8aCpD4UBpAWuLHU2ctbyJWEYVuA2xW0jTCApnjbDL+cGIg5jKLT0i1G9VaA\nbXOnpR3unxm8FcDNKum+KqAKBJICQQnetry/IdWxXk7Koo3ISJ+Gcy89gOR5ZvN3KMakzqb14ucj\nO+swyhZP0JCCgfTK1b6oAkGugBm2WQq2MHOM7Q+PFGIHuZIcPFnqU6FeUVYM7Q1cQ1FJuoc2IwSg\nw5/bcCtxQDf3QyLGSB8bWbt99sy/AuZwjWxt16QKqAKqQKArEJTvVJfOnbM/l+R0ZDwzDf3pyHGm\nwfOKHXkzUulM5rl8FFGunt4N5NEDVUAVaGcFnCBL7fI+b7W0HTxRQlFJ8mkJ9yJU19hdSTx1LZzi\nZQ+OI+s2uZIM7OGAbXLVYCsxw6tsvqzbYgkXSzPfz9AtfeT92jrqC1u5xeLtqVPNPM/gzZtowbla\nu5sppt6mCqgC7aJAUII3HO4kyZNvMKDbo9Jl+TjGF7O/wDlaMj5RydujVHpBFVAF2k4BgVkzYJ45\nf4ks2wV499N8nL9IYf28JYLiAexKQrA9vDfBaa29vNmVhEGbodu8miTv8zm+Ju4mYt02AzfDLveN\nzzEIczJDuLeuteQatyntiEYtqU/vVQVUAVWgrRUITvCurjR0zV66A3nPTESiB5Vzd/2dlpWnlHoz\nhil0e1BJT6sCqkBbKCAgKTkD5oUKG/51uBBvZ+fjeP5Fn83G0WqSQ8m6fXVCHbqFOKKSkPXZNQSg\n+GqboVss35wzUJv9qBm0zZZl2Ze+ci77PjvZwgLt2VYLu9ry220VKCgmKxBF24qmIAANp8W2vHqt\nQRVQBdpegaAE7+jB1yGFtM3CUkx5dDi2PjeTjvjNDIgIizLyvD3r8e3pK4x9REeLkdx+rH9VAVVA\nFWgDBcywKkBZQ8D9aR65khzMJ+guho2OvaUIelcfEsdRSepwWffGriRiufbmSsKwLaAtlm3OOQlk\nS+6tL+bxeCvX3GuE9829tRPeV4Bn70zAwix711NXZ2Pz3FGdcBzaZVUguBUISvBG7DgsXZaCsfQO\nlr1iFgbQJmle8l14PTkLWYap23523U+/rZYFEUhzVUAVaHUFBFAFtjk/fa7ccCXZTu4kJeXeXUnI\n/owBvSgiSTwt4R5bQ1H8xJXEfQhAV+gW67YZtgW4GbAFsiVvdQG0Qp8K5G1Z7oRuLnwsrwD8G0Zw\nfoj7lEsLqAIBq0DQ/psd8+SfsfH8PZi+1GE+cD6ihtC9aOMhzEzSH/Sc8uiOKqAKtIoC7mC7lAB7\nzxfn8A75bX9Z4NuVpGeUBSMTQjAyvhaR1voFbgSgGahdIVvcSuSalJVcQNsM2eb9Vhm8VtI0BWw5\neCZ1aYN7sncfxiVotK0GouiBKtAJFAha8AZiMe2Zbcj/3h68ueUf+ODAPhw+xeG3YjBgwGCMuvkm\nTLr7WxjVX6G7E7yOtYuqQKdQwGzR5g7zsY2ikHxyvJiikhTgw9xiI0qJt8FEhpFVm1aT5BCAvSPr\nF7gRP2wGaIFrycV3WyzbnAtoi2W7Oa4k3vqp11pPgf0v/Qr2CLjJSE7O5uUlyFdyP45XAKMcH1Ec\n05y/ekXSs3Wb6DpNEUBkpIfrbm/Sk6qAKtDaCgTnv8Di/Xj2uTcNLZNnP4GZT47BzNZWVutTBVQB\nVYAUMMM27/MkSU4nCsmVhEIAcmSSMiYiL8lK7h4DyZVkZIIFg3rWIMSHK4mAtoC3ALcZtgW4xcLN\nzatl28tD6KhLxTvxuGONieT05Xjj1g8xdPxC6s1hnOepSQTeZQfWICZ5ntFDtystl+3B1JixyKQS\nczYcwpr7k4yy+kcVUAXaX4GgBO+yY+9h4dIlpHYyMucuan/VtUVVQBXocAUYMkOtofbVFdugN7xq\nY1iIPXYpwzaH2Su9ZMOew0V497NCnCQfbl8prhv5bZMrSVJ8DSIt9QvcMEDzJkAtoC05A7dck7IM\n2u5gm/ugwO3rSXTUdRveeu5hCgTAKRnL5k1A4rnDjs5k4aMTZRgXH43o3ol0lSLf0jb/lZ14aPSU\nBr7feVl/NKCbbxw9agBnmlQBVaCDFAhK8K7XujdiY4JcgnoxdE8VCBoFxMo7a/gsDAwfiEsVl1Bd\nXe09JvRbb9BKW2fJv6MvMPHbjbSSOhluGXqjIqNwe+Lt5EpSh4+PFmHP8TJk510gCzitKEPQ7yl1\nI1eSYX2sZN2uQ1wEw7bNAGOuVyBaLNmcm2FbgFvKCWwLcHObAtmSe+qHnu94BWy5f8KkpYzTQEr6\nC5hIcdgROtK+sBvtfpZzikiarNf9b8XCNGBGBp1c8TKy06dgtDMEbhmyXnZE6MIiTBzlvECFNakC\nqkB7KxCU1FkfTjAL42c9j+ObHkFiUCrR3i83bU8V6HgFzIDcN6ovpgyYgosXL6KioqLxUufm7n75\nDnCcwHtwL4LvbzqvsPsIJ65XQDciIgKllVbs+rgSq08fQBUFJA0JDYfFGkLlnLc6d6x0LjHWStZt\nCxJjqmFxwDbXyRAv1m13oC2wLeW4rIC2jJVzTpI7G9adAFagDBmPzXD0LxVLF4yz70f1cq6ifPhk\nieN6JO6YlQ5k8C+5mdj0/mmMnshrMlMq2Is/sI8JpdSV0zyuW2EvoX9VAVWgrRUITtykcIIrN6Qh\nmc0DmfMxKOwzbNzxA1we7k7uKqDnEIxJcryJuSui51QBVaBTKCAgymDKgMrWYoZkdgXhc+wOwvsC\n0w0GFUJxrJlfOe/WrUEZKX+hsgaff3kBH395FucrLQiL6IaQ8CiEkhXbuNfOv85q+9ACNyP7WnFV\nXA3CKSoJ18OhAUNcYJvh2hW61ZXEKWOX3Cne87+Y5QDmtNVPY4wYqiMH4eZUYmy6lrXrY1qBYowB\n4vE3TkUaloA+1bB0w7tYMvF+Iwxu7va/OlxVgLRUdkjRpAqoAh2pQFCCd8WB9Xbodiq/FtPH2+eM\nO0+Zd5JXouiTRygOiiZVQBXo7AowfDN0M8gydDNsC4QzdPPmNoWF0JKPNFkyzIo6WlRLUpWNYPtk\nKT4+fh5ffEUhAKl+K/l2h1L9nFvZyk1QbydvYnaC8OF9QzCK3AZiwjkqCcE23+P4MiBA7QraAt+u\nlm2+jzexZrvm0k/NO5MCp/HCHJ5AyWkOfjp7lH3X+BuG3oMdHt2ZecinebnR/EkeOQqz0lPI6E0e\n4Rm/x67f3o8J8WV4O8PhZpKyErfpT7smHXVXFegYBYISvJu8DGXviAYTVTrmUWmrqoAq0BIFBEgF\ncNnaLdDL+xyOjY9lk7b42EgE3hYDvGlCZs+eyKM423uPnMO+3POorK4xwDcsqodR1IDtEHIRIfcS\nayhZq2l/UO8ww5XkihgqS84n3B/eBKQFrCUX322+zuf4y4FsAtpSh4xNcum75p1TgdxNz2GJ3bUb\nCzY+iaQGn9SRuCppMA2MCxxE4SVaqdTxPfDG6d8DGLzJxv369jxM+GYuVjms5nMevFONR53z5aC9\n7mIKNPjn3MXG5nE4kUkzUVqUasQ89VjIdCE0imaNm451VxVQBTqvAgynDLCceJ/BlqHb7GJihm/Z\ntzrAu7iqBs+9mYfCMnJD4xQahTB6J3V6kRhATRZosnQnxITRJMlQXEUTJSOs9tUkQ+i8laKpcB8E\nqhmsBbQFvPnHJrITAABAAElEQVQab2bYdgVubj7QYdv5xYU7q8m3AhUH8PPpMhkyHQumDWl0T79h\nN9I5JupM+qWFnE0cEyYjk+5EOhnDGdrXZr5Frid5Bp7T1Ezcd4eGEGwkpJ5QBTpAgaAEb9Y5OlYd\nRzrg9aZNqgIdqoBAKgMsJ4Fwhl4zeIu7Cedszf7oWBEsCaOB6jicjb6M/Lcpckl4pMtY7OjdI4Ki\nkvSm1SQJtntGsO+43RouoC1AbYZtbl8g3AzbfA/30Qzc0qiMRY4DMQ+xhKCG/murFGrpeh9he9Yu\nNvy0WbNlOx52Oxkyuj+tnuRI+QUczFtMQ/0x/VHy9J6VQe4m8zCeMiOlPYgbOSKKpg5ToPjAFryy\nNQcRSZMwe8qoJv2KXnw6F2dLqxHTdyj6xwbya96G/Vsy8HZOKZImPYApo5Sz3L3gAvkJuuuvnlMF\nVAFVoEUKCLAyzPImwC2WbbHQfn6qhBa4KcTuw4UE3+T3nUQRJhxGQzu213cjLMSCwXE0SbIPMKAH\nRSWhGN52WLZbrMWKLbk767ZYtjkX0Oack/RZ8vqWA3OP+8nbnKQ5GNptqBExxvhVoY4mrtba3Xma\n2nOjTgr/YiV/H9aRwzXeNfguo53OoovPMRdsw6L5Dt8QslJ/44pS5OYWudxGH9sl9aeyPj2DxRPq\nJ/8nTZ5BMb0zHJZue7lFs241JlrW36V77atAAV5MS8VC9g5akGSAt//tl+GVSUMxn+5NXrYbn9CC\nf4GcTr45Cwt5ytzCEpyqW4z6V2Yg97p9+9bFwduGnLf+hE+7j8a3xiW1whuPDXn730bW0Vh8Z9qY\nVqivfR+2tqYKqAJ2BRjUBLAF2vj4zPlL+CCnkBa4KcC5C1VOueyTI52Hzp1+MbSaZHyIEZXE4rDs\nWsjKKxAtVmyexCnQLblYvqUsQ7YAtwGZ1EdO0j9nowG+I33nsST2SMQ9A+8xwjVWVlZ6jxrjY1xc\nL9fJekVGRqJHjx6IJjdAs2Y+qgj4yzlvrnNGIGE/7fGDBvnuc4XdhclZMP4mkNEbbPS2pzRMu1Hx\nR9ToiLxs/2t26KavRBsX3NUkazf3N2Yw/SHwHhxpX5CrI8bgX5uhuOvJjeTnNJ2KL8Gm/Q/jkdFq\n9XbVrouDdxn+sXCG8U2RfdzSVz+EqRNvwYjE+Ca88G0oyDuED97ajJdXLUEmf2OlKCepCt6uryU9\nVgUCXgGBbcnZ2n2JfLb3klV7x8FCHKToJJIsPJPSTYqJtGI4Wbavpl/7e4TyhEyycBtQ2NhvmyHb\nbN0W2OZcIFKAUoBVmuTjzpZkDDw2HiOPXcI1MjCbJ7A2dWxSN9fLdfImLjpdBb7DetALq4npvluu\ndLkjGpOdMb3p42oBWcBdvaJc7tDDtlTAhqxX5tsbSHmoy0eWCR1yC1am0AqqNMfX3Sqqbal0Z6m7\ni4N3NK6ZRgFPs/mnuywsmUeb8WSSkTZnMm74xmgMH3I5BvTqSWF57d8kq8vLUXK+ACdyP8X+D/bi\nzbUNf7Lj25PpZ70oox79owqoAoGugEA295P3eaul7eAJdiXJx+4vilBd4yGEoGNw7EpyZZyFlm4H\nBvZwxNsmMGYYNMO0K2ibrdti2eZcQJFzTgLZkjua7ZQZj4HHyGNnOJZwjbwyKO+bn0dTByh1M3Cz\n1Zvr53a4va6g3ZBpy0mf5U2VpVH58gsU6sSRZj8wpgmGJrlL81ZToOIQNjrmyqY9eEsQRJaJR8r3\n6CeXLPrJZcVGHFo6BaP0i1+Dl1MXB+9QTFi8GaWzD+DPL72AWUvY8YhTNjLW8mY/8vdv6pxleOzR\nWRjHn76aVAFVIKAVEMAT2OacXUl2HCxA1oF8lJS7/ETvOhoCyAHkSpJERshhvetgJcs2J7aEC0Qz\n9IllVyBbrLAChHydAVs2BkTZ7PV1Psu2IYTLHwFfHqeAd1RUlDFu1sTr4kQudXk65Da4ftGc62Wd\nXbX1dH9wnC9A5oqljqEuwOTkYP6p3wZbBQU6D42k10zjp2+j1Wo9XqNIR3QnIt3d2Lgqj2cK9m51\nTpZNHTPIfTlbGQryy1BNsY6jaI2A2OimkqoNxQX5uGS8RYUhOiHeHtvdTWuuYy4rLkAZ3RgWFo34\neJmk6+ZGPmWrQEExGSqoHW/lh429jQoTeNO2ee9vMWqcMhPLJ8n9b6lytYvk0f1HYebiNairLsWR\nfe9gdfoCpKb4sYJXcgrSFqRj4zv7kE8zijeveVKhu4u8JnQYXVMBgWyZMMmwV1ZehXeyv8J/vfoJ\nfrzuY2zec8ordPeKsuLfLg/BrNEWTL3KhqTeNnBsDoZJsbR2794d0fQByVtPiukdExNjbHzM13hj\niyxvAuQMi1wHQ6KAt8BqV3oaPCYBb7ZId6NVPlkX1oi1aunG9bB/N9cr+nJ7XVHL5rwuKnL+afzM\nz/emLPsOhrgBzubU2xnvObBmGsLoy19Y2FzkMEWbUs6rcx3XpmI/B4YxpbIDa4x/t1Fh07DH5Zqp\nmF+7Jz7aZS+XnI4bh7gCdTHeenYuLGExSBgwAAMGJCAuJgrXTn0aB4r9qb4M29Y8hWstYYhL4Pvt\ndcTQIl0PPLUeefS9wpyMcbEes15FXt5OPDrBgpi4BOO+hIQYWCY8ip2nXW4yKqB+Pv8o9TMKCY52\njPLXPoBX95w2N2HsRyalYJEDsTZt3ed36OZGFXXRE8H1TzI0GkNGTzC2uYv5y1sx8s+W4tKlSygp\nKTG+bXbr2Q3douhDNC4O8U3+1tlFXyU6LFUggBUQyzZ3UcC7hiJnfJp3nqzb+fjX4WLYPK1G6RhX\nBFmzh/SNJFeSOlzWvaErCUMdQzNvDNFiZRWg5lyuC1gLXHPOSaBQckezXS6T8fG4WRPJ5YsQD9j8\nvJoqgNTPOddt3vicXG9qvV2p/MEtv3cO58F7rnXuB+NOzGU8K5HTWmzP/m8kjRaLbhl2b5WfvDPx\n9scFGG2yyh7cutV+G4VpbNl0xjJkb2NXV0rJQxBn33P+3fPsPZi0kBc8sqdkgtVsmkeWnbkEW794\nGKPGePu1ohjrH4gzTaKVWux5xtJZyFj6BY5UP9P4y1fGDAxig7RrylqB8QMKsa/0FTilQjHWTI3D\nPMcw+JYUMlxmZXFHMzBjbAZO7sjHkyb9QCNNZOm5yO4vUIaJQeBi4yqm5+OgsHh7Gn5oZCz6JyZi\nSFISRo8ZgzFjRmMU7Q9J7K/Q7Uk0Pa8KBIgCAtmcM9ixdftkwQW8tuM4/nPth/j1Xw5h1+fnPEI3\nYRoGnvoEd769DD84swm3JlYZ0M3wxtAo1lojeobJYmu2bpstrwLkfC8DuFhhGQ6DCQplrDxu1kC+\nrLA+vLGuzd2kDrPWwaavr39+I2e9iH279yH70Cnc28jC6uvurnU98Rt3U1gFe3r97YP1gys7jHdM\n4Llh64H6aziN7RsclEkhAEcKq5tK+L1bcRwfOKpKvdklspotF390QHfynA3Ir67DJ5/Uoej4Pqxc\ntAjJ/bzPJMvbkl4P3anp2HeqFNX0Xlian42VadLDpXjsJfPY5Lw9T56zGofyyfhYdASr54gXQAbS\nX62/J++t55zQnZKeafRz27ZPUJS9ETSDzkgLH15NqplTNL52o1yNMF/QfVIgqMFbXwGqgCrQuRQQ\n2GbQFtguuViJf3z0FZ7a8Ake/8Mn2PLhaa+uJHHdrPhGYihmXVWG1D/9CMMOvAlrbZUTEtl9gV1F\nGKoFsiXnc2bYZoA0Q6BYvAU+OQ/GJOMXi7R8EWnN3Azcwaqzu9dWZPwQMiSxEam/TqqMvw73Ocg7\na8N2JxyWHX7P6XfNGmYvfZvW+HSk0x9iA1lqOS2YfkPLwgaTM/RZe1VApew48kuFOObYHXz1EMQ7\n/A9iE0fjkWeewcREV7cU8/2n8fpiWd00Ddl/XIzR/aON5x0dPwqPrDuEOY7imfNeQ56Lmw1fSknf\nin1r5tKvfNGIjB2CuSszaKVTe8rcuous1JyKkfmsY75Aykr8efGU+n6OmoYX30m335C9CR+6NNKt\np+MbS9ZWfGGvzF5W/yp462tAFVAFAlsBgW3JGbirbTXYl3sOK/76OR5aux/rso7heH65x4FEks/j\nNf1CMO2aEHz3GhuuS6hElKXaeAPkn5IjQ8Ma+CIzaIvvNvsnM2wzjLNfsStsC1wKbErusTNBckF0\nkFx0ao1c6pQ8SCTVYTZZgVjcwhE2OGVvwIen7QR68L1t9nPOv0vxfq7dtzlvV5Zj8aEU3P2NRGeJ\nZu3Qm4tHg3n0cExwfCnInD8WU59ajwOn/STUsjPY5fhykJI+p3HUkNAk/GCZWJwP4kx9kBvHMFLx\n309MbPjFLHIEpi9wWL0z9+M4y1F2DNuyHLfEROBsbg4OHDhg33JycbRIKs7G8XOe+t5Sd51mKR/Q\nNwWXj3dAPwrtnCqgCogCDNmSBLg5P1FYboQA3HGo0JiJL2Xc5eTpgIE9rbTAjQWDe9UQZEtUEvvk\nv9AIWqadDNLE5AiLJDcImvjny2/bnZWV4U+TKqAKBKYCQ1MYQNmvJBtv7jqFKdNisGez3f9j0bqN\nuLR8OlYQxG7deRz3DxmK9zMdluTU+3BDKwbjIEcQF4FiMWvVRrw0YroB+pnkk81bctoiLP/5IkwY\n4hHZ6Q2rHuivvdbT4kiljvb6whEtuWH73J0GRvVQDBw8mE4y0XdDmIMOnb3InIcRJj/vhpUBrus4\n1V/v4779+gJBt6fgHXSPXAesCgSuAgLcZtg+f7EKH3xeiKxPC3DynGertowqrpsFIxJCMKJ3LSJC\nHBMlyZ9b3BxkImQ4gXkYbeHEzaEcfYQs2zJRUsqKdVYsq2bINu9L25qrAqpAYCkQmngj0smQu4R4\ncm3mXqz85uXYbFhxkzF+8jcR/kkygTeFF968G6vIOL6VGZ1S2r23eLZW24s06W+Mm2ma0UnTsK/o\nEDJeWO4Md5ydsRS30bZ6XxHm+rHqY2GRh/fEynOO/pUb4f8aQrb7rldXCKwXopyN2fxzoCmlL1tG\nLjOuPjNcIAGThjsR3XQH7x5DSSPIdykSZIcK3kH2wHW4qkCgKWCGbe4bH1fbavHx0SJszynAR0eL\nyZ/be6+jyGw9vA9ZtxNoPn1ENdVhMyY0CjgzbJut2YZfdqjVAG+2eIew9ZtcSRi45R6xbnPLAtmS\ne++NXlUFVIHAUaA/7pyRSuBN5tqMf+JvqQNpOT1Ok5FM/s1h35xMC70QlWe+g7//v1KH73cypt80\ntNEQbAUH8Nv/mo+Fa4chu3QNRnliTbmTgNPpgOFhjmFobJIR7njmE7/Etv97BrfNs1vc5z3+Cu7d\n9oj7aCCmek95cLGrihDrNccHd5NcoJps1sg94PArSR6Ofjw26rz0P3X1ISyem+SmIl+n1NXEVSGy\n9wRfsuVtwQT6eXjCA0/h1bf2o6DM7vcVfEroiFWBjlHAbNHmfZksefSrMqx/Jxf/sWYffvu3L7Dv\niGfothIwD46zYlJSCGZeV4ubBlYhNrzKgGSGbPbF5gVc3E2SNPy2CbS7Ux1RvNHvqlzebPEW8JZc\nobtjXivaqirQUgVGTprqqGItpk93rF+96Hawk0b89bc7Ip9kYHrqfHu55BnGBOz6diuwf9PTCEtI\nJuhmOD0LD3bm+lt4L7ofrne4TR/Ly/cezzoyHhPmLseO9BR7HcO8rJAd1Q19HS1lLXy5UYxyVOzH\n2oUOv5CUSWhsjM7E8rU7HTU4suK9+L3D2u8MfWjqf+a8P9RPQG14p5ujMhx4z1FZys0Y7OsLipsa\nuvKpoATvS+e+Mr7xZtHPOTMmXY+EmDB6wT+FTdsIwnmVK02qgCrQJgqYgVuikhSWVuBve0/hsfUf\n46lXs/H3T87iYqVbG43Rpz7drRh/ZShmXw/cNdRGb+pV5L9d5wwByLDNEyFl0RaJSMK5TJTkSZJc\nLoKgO5xqDXWEvhOLN0O2bG0ihFaqCqgC7aZA9Iixzigf0ui02x3WW4p8MtXBunItdfbtaODeXbYX\n1xOwp6Svw2rHBMRGBmO5uUEeB2raSPZ41vUXK3JepfeYa/Hsqzudxr+yvG1Yu8RhdT58GjJ1sf4u\nxx5Nnpy7WiZPrsWIac8aEzNttNpmcd4ePH3X9Q7LPbDoybvdWM2TkTF/PCY8RQvpFFegrGA/nr5n\nvOOXALpnxq0Oz5T+mP4o+d8YaSmmzF2DnAKHDZxXscw7gE20sM4DT29xWsbtZW0ocxRLHpvYqi47\njs506iwowbtxXB8ga+1STL+NIDwqDFPnPo0tOw+AXo+aVAFVoIUKCGwzaIt1u6LKhg/IjeS5zYfw\noxf3Y8POPHxV7PFjBt3IEftrA0Jw/7VW3He1Ddf0rkS4tdZwC2G3EYZohml31m0GbgkBaMC2hAAk\n9xOeXMmWc6sJtBW4W/jA9faAUGDfvn24+eabUVBQEBD96dBOhA7Fv8tSikZHUnDTKJmUGIuU+wQu\n7b2ceufIht2N/hqOH8/HtsUzccu1Eu+6YRH3R5G45huOurO24dPi+lLV5YV0kI2FM8Ybxj9+34kZ\ndJsTmNP/a5obYK6/f/T3f40Fcpi5EMkDyIucfumLGzQWwu6YsxGLJso4pTDnPIGSuGcpLaQTF4WY\nhOvr70lZhodN9ySl/dy5CmX2WppgyStc8vslr2I5iFxy5q9AxpKchtb84o/wusPgnjx8UMPoKUbL\nwf0nKME7etidWL0oDZ7++WSuXYLU8cmIo9+gH3j0WWzZk4NiNYQH3L8UAbq2zANu0J2kQ67PRFxJ\nvjhdipfePkKuJB/i+f93GB8dO0+26jq3owolIh7SOwTfGhGC719bixv7kytJhN13W1xJBLZdrdt8\nzBtbvhm2OTa3W1cSapnfBBW23T4CPdkJFThz5gxmz56NG264Ae+//76xKnMnHIazy/xe0vIUijGp\ns+uroYgl15lM2sNuF+sxFaGl3VOSGoT7oJPRSEy031BdKV7P9dV52xs0dpLjcibe/aj+S1D06O8i\nc5lE2zbXkIKVW8mfeoIbYI4w2dkjk7D80hGsI5ZpnFKQvm4HLq2Z5sHanIp1mRuccbvl/pQFq3H8\n/z1puODIOYQOwTP7TmEDhS10l1JS52DDjvsafEko+Oh9p/U8NaWxr7y7eoLpnIVe1K3xqu6cmtFP\nJXmH9iJr6xv4w8IVzheKLNvqOqi0RSsxY9pk3ERLv0aHul5t+jFLz6vtVVVV4eLFiygtLcWkSZNw\n+PBhZ2Vr167FXXfdZVjsGB4YOIIdEuQle6H6ApbvXo4Keo5tkf5twL8hdbj9DZk11+RbAXk2nMuW\nX3LJWEHyXYpKkl/i+1kl9LBiBIUAvKpPLYX6q3E2KpFG3E6UpH8X/G9DIpZIWZkoKf9m5DkaeRFZ\nnL7u+PT98S+Bh3/qbEt3VIG2UOBHP/oRXnjhBWMSL7sFtGaqpGgTK1aswK9+9Sv6mb8eDj/88ENc\nf/31rdmU33WVl5cb4F9SUuI1588+d2XOnz+P1157Dffcc4/fbXotSJ8V7E3KUYwafYTT86igze01\nU6UH1kxF8jzQsuqbTcuqmwo02s3DU5ZB4GVokhfQojXLXeJnU5+Ki8twiRbbCYuKRmysfSGcBtUY\nfaPof5GNem0vRnUUFBcZ0UvCyBIdGx/beHxUsuzAGsRw52nNyX3V1P9Qck0pyKe2aZ5LdAJifYGN\n0dcio3wYGTSio2NpDYQGPaUDG7Y8ej1SecIqfYk59cnihiDvWjwIjxtJFlQahEYicdQ4zOTtyeXk\nG7Ufr8y/HvP5JxI2h9t/jXFKkrF0PngjDygcr34GtPidpnZWQMCOLajvffkefrbzZ23Wg2Gxw3D3\n0LuNLzrciEBbmzXYSSuWZyI5P5vK6lp8mFuInQcLkf1lKYcq8Tq6HpEUlYQmSo5MqEXP8HogYXBm\niBagZriWlSJ5Xza+7grbMimSG5ZnJ7nXzuhFVaCTKbB582Y89thjOHr0aKOeM9A2NfG/ZTYGuYNh\nd+c8gXNrfLloTv89jpc+8xuDoqM0vYdE0tb6KRHTVqZiKYFF9ooNOLR0YsMFb6hPsfG0eWvY6JuX\nAlRHfLwbC7mXWwwHcgLtWLrPa9vmOoy++ihfkY2NDN2UUh+aqtBt1s+x3xavMjfNBPapioJc7Prn\nm3j9Ty9RnE9HX12gu+EI7CtBJepM3YaytNORuC1UVVe1aYs1tTXgDw4GOoY4TgpudskFsvmI9+U4\n52QJtn9WgA++KDTg217a/d+wEIsRlSSJrNsDe9CzdIQAZI1dYVsA2wzdZtiWZ8T3mjdumY81qQJd\nUQFeRXDBggXYtm2bx+Ht3r0bFRUVXiHaHTjz+2x7JH5v5TkYvFKsu2348OHt0Y02bWP0dx9BCoF3\nFnlwv/buLzFqYmKbtteRlef94xWHn3oqHrt3VEd2JWDbDlrwtpWdxr73/4E/rl6OFZleKRspaXMw\n4NRaZGQF7HMMio4J4PEHAgNxa1hTvAnH7VXTz3+SGO6CPQlgy7Pg/KvicuzKKSTgLkRhmbvFFRqq\n1i/GQqtJhmBY7xr6OdSuL8OxlfQV4PZm2TYDN39oi2VbgJtbU9huqLkedS0FCgsLsXjxYrz44ouG\nu6K30f30p23nQsX/XnkuhTtg9nSuV69e4AnPcp3v70z/XsMi7AGuyaPD/xQ/Af9FkzuzlmZj6bNZ\nNOFxpgffa/+rbFbJanl/bryOZrPqa3RTGd4idydOyemPYZzfpvRGFXXpE0EJ3hW5ryJq6AzvDzY5\nDSsXzkLqpBuRGMsTLX6HZTkfYNMf1mL+m33Q0zTHwXtFerU1FWDQY794BmIzFLdmG1JXXW2d4X9v\nQCEBnkBnZ/qQkLG0JJdxS85ffC5V1WDv4ULsIFeSgyfJlcRHimFXkj4WXE0L3PQgv0JjgRtaTZKh\n2QzbnizbZtjm8vJMODc/D/O+jy7pZVWgUyqwYcMGPPzww2D/55Yk/jfF8GuGYIFhf3O2VAdFshXg\nrYw3cCY8Al9sZkNdNl5btR77aOGtsffejyQ/AHPCM/tQ+kSZ4cftOnWzvTSMHjkN2ftuRnVYb4xs\nk1/sozGbFiG6lwJURZOvuib3CgQleFeX1088aShLMuYsexQ/uGcyxgwxTXk2CoWif9I4PPIMbw3v\n0qO2V0Cgj3MGv3YBb4q2wRNf+QOK2xTLatuPtuNbEL25J7xv6E75wRMl2PFZPvYcLkaVrX7io7se\nsyvJlXG8fLsFA7rzapJ1BiQzHLOmsnmzbjNkyyb6c85JIFtyd33Qc6pAV1Ng+vTpxvvR//zP/2Dv\n3r0+h3fvvfcaUU5cYZojAmnyUwHbCayeNQ/iicp3LZ0/y7g5c+K9BN7+oFQowagfhO5nl5pVLLI/\nRo1uoi94ExsKjaQJoh31zaKJfe2o4v68Wjqqb23XrvPnFnsTKWnpeGjOdHzzG0mtEq2k7Toe3DU7\nAZAgmK3e7eVqwm1x28GQZJyiNeenz5Xjvc/JleTTfBRfrHe9casHQfUAciVJ6gMM7V1LriR27SwW\nu2XbbN02+2vzPoM4Q7iUYcCWjeFaNm5XYdut+noyCBTgfysPPPCAsbH/9vPPP49NmzZ5/AVw4MCB\nuPPOO4NAmTYcYuRobA6Sz4A2VFGrdigQlOAd1e86LJqzAP1uudvkSqKvic6ggAAhW6AZiNsycVvc\nBrcl7bZlex1VN4+Nk+Q83osUc2sPuZLsPFSAz09d8Nm1Xt2sGN6brNvxtQ5XErJuN9GVhMGbQZvB\nm8Ga982wzZ1Q4Pb5KLRAECkwduxY8Pab3/wGq1evxpo1a3D27NkGCrRqVJAGNeuBKqAKNEeBoATv\n0P7j8Myacc3RS+8JAAUEggUU27JL0obkbdlWe9ZtHg/v81ZDPu2f5p0nv+18/OtIEWw13q384bTs\n41AKAZhEXlmXNdOVhGGbQdts2eZ9TgLZkrenPtqWKtCZFLjsssvwi1/8AjyR8vXXXzes4By/m5OC\nd2d6ktrXYFAgKME7GB5sVx+jwGJbj7O92mnrcUj9PB5OMi7O2ZVkx8ECIwxgCa+k4CWxFXtAL45K\nAgyJraNVH8V3u36SpLiMeJooqa4kXgTWS6pACxRw54bCoQI1qQKqQOAooOAdOM9Ce6IKtIkC7mC7\njAB79+fnkPXZWRzPL/fZbhy5klwVT9btPjXoFuJ+gRt3oM3nGMRlE1cSsxuJ2aJt3vfZKS2gCqgC\nHhUQNxRePVJTV1SAVqs8TatVhkUjId7NapddcchdZEwK3l3kQeowVAGzAgLbfE6s27aaWnxyvJii\nkhRg39Hz5FrifYGMSHYl6cOwXYe+3ephm+FYrNYC25LLhEkBbc7VlcT8ZHRfFWhfBTR6Sfvq3V6t\n5W1ahEHTOWZ2CnaXbsMYjd7XXtK3uB0F7xZLqBWoAoGhgDvY5nMnCsmVhEIA7jhUCLZ0e0vsXj2w\nJy3dTqtJDu5VY7iScHmBbVfgFtAW8BbgNsO2O+u2Wra9PQW9pgqoAp1FgYriApSRXcIIoxfdXnH0\nipG5yr5QDVKmYngzoLtj+t1Znmrb9lPBu2311dpVgTZXQIBbLNucl5RX02qSBXiXgPtEIa1m4CNd\nKj6NM5/twJlP30FF6TlnaTMgyz7n5n0uLMdyo+uxnA+ovJai4uQ7evRfy4Bf/29AdU870/UUkEVv\nOHKQps6vQMHOZ5EwfqFjIKnYd2kzRrcDe9vydmJ+lr3ZOQ9NRlOjg3dUvzv/E2+dESh4t46OWosq\n0K4KmGGbG+bjanIl+Ti3CNsJuD/KPY9aOuctVZWX4NSBHTj6r7+h6MQhb0W7/rUSWlSLN02qQDso\nIP9+26EpbaLNFMjDcid0cyOlyC8i03f/tseq7LdedowqBWm3DWniCDuu303saJct3vavkC4rnQ5M\nFWhfBcwf1rwv2/GzFykiyVm8l1OEi5XeXUnqyNJmKzqKS6c+RsXpT9GdrL6jrkyAZUhfw2ot1mxx\nD+HcvM/X5Vis2pKzGub99lWnGa1VVQJv/9V+4/CracWfEc2oRG9RBfxXoKioCGVlZRgypKmw5H8b\nWrJ9FMh59RksbdBUFr44cwkT+zfD76NBPb4O8rBpnmMNzTkP4YYmmrs7rt++xhU81xW8g+dZ60g7\nqQIC3ALanBdfrMIu8tnmqCSniyp8jqxPd/Lb7kuRSeJqEW69ksrz9m1j4qOr37b4a4v/ttlv2+y7\nzZAtm3SgU4F3USHwdYqLyGn2d4GHf2rf17+qgCqgCnhToGw/fjJjrb1EcjKQnW3s780+Dowe5byT\nV1fmaemRNMncbaLrtFYZIiM9XHdzU9mBt5zAn552C5rk2eJ3v/kzJZKiUTXugM3G1+yRqhpf1TP+\nKGBfqcKfklpGFVAF2k0BgWxZNZPzymobPiA3kuc2H8LDa/djw848r9DdPdyCrw0IQdp1objvahuu\n6V1J0G0zLNYM11FRUeCIBz169EBMTEyjjc/zdS4XEREBM4ibLeEC350KutvtSWpDqoAq0NUU2Pm/\nj8Nuc07G1jdex7IU+whP5Z93DrXswBoY77P0Xvv8/mLneedO2R5MNd6HwzD31RznaV87e19b5Sgy\nB9NvcBgOfN3kuO5Pvw+smUr9jqLNguf3NOx37qanHNfCsD5HXfP8lL1RMTffZxqV0ROqgCrQDgqI\nZZubEvDm/MiZCxSV5Cx2Udzt8kqaEOglhZAVehCtJjkiAbg8uhqWOpvTKi2h/cSibc4Zqvk6n2Or\ntmxmtxIBbG5eIdvLQ9BLqoAqEBgK2PKwfukanECU1/5covnnt899AhMS/bAfn96ChxfaZzYmL1qO\niUMG4UyMvfqstw6i7MlxYGeT6N6JIFs42BY+/5WdeGj0FLIT16e8rD864J2N5APqL3jbqziAdUvt\n1vXk9PuQ5Ed3ndX52e9ht6dRvzPt/R77HCZXP4Mh3PHinfjhdIdzTcpKTE5qa5caZ8+73I75ddDl\nBqcDUgU6gwIC3GbYLiitwPs5hXj30wLkl/h2JUnoQbBNIQCv6lOLMEu9n3eII462QLXAtliv+dhf\nVxKF7c7watI+qgKqgFOBS2ewfMlSAyKd5zzsDP/eArrii2QrsOkXqY76UvDCExOM2kbcmApkkg08\nKwen6O3aAOL+t2JhGjAjg4qseBnZ6VMw2smqZch62REOEIswcZTzgofe2U8X7NoMro7To1NvsO/4\n9df/fkcOmYZ1K1Nx/Xy26S/FY6umYfMjo7HpJ+PhCKSCjS/OQdNs7X51MmgKKXgHzaPWgQaSAmbY\n5n7ZXUlq8WFuIXYeLET2l7TMs4+oJD3IlWQ4LXAzIr4WvSLYk9Ce2EotftsC3GbQFvjma2bLttl9\nhGsS0JbcUb1mQaKAxvkNkgfdlYcZfSWWrVuNvMoIcpfzNNBKVNL15N7ereJ8d9mB/8N0h2t36sql\nGOeY2NgtQcD5GErIem7n90jcMSsdyFhCJzKx6f3TGD2xP1cDFOzFH+y+KkhdOQ2J9rM+/lbgn+u4\nLk7puNNPWOfSTes3WeAfWYlFBN5s386c/ziexVgsdIw7ZdluTBvi6wsKt6rJkwIK3p6U0fOqQCsr\nILDN1Yp1m/dzTpZQVJIC7P7iHCqqvbuShFotuLI3rSZJ1u2BPaqoIjtwWyyNYVsA2wzdZthm6FZX\nEn4CmlwV0Di/rorocedUIB4TZ85tpa4XYN38eY660rBkzhhnvYOuv5n22RadiT3HyjAm1g7i8TdO\nBZU0rizd8C6WTLzfYPLc7X91Wo/TUtkhxY9UvBe/d5i7U1dPhgPh/bix6f0GfRVYtG81ll7P483C\nQgkajgV48cf14/ajcS3iRgEFbzei6KnAV4CtsP269yO3ijBU19W7VrRmzy/vfrnTP7ol9QpwC2xz\nfub8Jbx/qICAuxCFZRTWzkfqF2Oh1SRDMIyikoQ6XElYA6vDH1tcRsyQLeCtriQ+xNXLLgponF8X\nQfSwMyvgiCzifQgcpcN7idNvLa9ftGbDTxsslBPWrbfz5jMni8hk7LCAR47CrPQUMnqTk0bG77Hr\nt/djQnwZ3s6QVSdX4rZEHw07as59J8MB68n4wUQ/YZ3ubVa/6b7o0bOxddEqTHL4lHM3Fu1YYvf3\n5gNNzVbAvyfe7Or1RlWg9RVg4OQtqWcS3r/jfSMubkVFBaqrq1FTU2NYk6XV8IulsNK5WgLUqu4x\ncrpRLnWyFZgjeHTv3t2I8mG2CDe6ycsJM2xzMXYlqaiqwb8OF2IHuZIcPEmuJD5SzMVCDL8qgYCb\n3gTDbDQu+0RJsyuJGbjN0O0K2zwuA9TJDUXGKs3zsSZVQBTQOL+ihOadXgGajPhAVLLTL9rbeNZl\nl2KmJ/cNWy6em+SYWEhW3yfvTWpQVeSAK0Fe3mTvBg4eP0d/651Hbpz+PYDBm7D59e15mPDNXKxy\nuJnMefBOP1edLMabq8TX4yGM8xPW0YJ+k4MKzpywT+SkzhvpRO5ZOP1r5KTmTVZAwbvJkukNHamA\nQCPDJ8MlgycDJ4Mun5Pwe9LHm154Cr3yvkDxoCTseuy/5XSjXOplQDVbigVY5XqjG00nBLb5FO/z\nxqtHHjxRQlFJ8rHncBGqbLWmOxrvhlKAzyH5BzDi/QwMKDmKuv/5oxOUBaZl3DJ26S/nfI37LJt8\nceCck0C25I17oGeCWgE/4/zCa/xhik1ME8xCKTaxfsAE9aup4wdPxphTfvbC2++OBzJ+DudUyK1P\nNLb6RvbDjRRSMJP4OnNbNspoMqJ4fUcm3Yl0MlAvIYZdm/kWuZ7kOSdn3ndHQ4D31FVb3jtOa/uC\nBRP9hHWgJf3O25KOWRkNe5Qx6z7MuPMTWiSo4Xk9apoC+r7YNL20dAcqIPBrhu7IyEgDthk02drt\nCt4CnNYQqxGv2lP3zXUzwHK9bPkWkPUGqgLcAtucnyoiVxKKub2DopIU0WI3XhNZnAeQK0lSH1o8\nsTe5kjz7CuqO7oal7wC4RiUxW7V53wzjvM/jlU3GJH2X3Gtf9GJQK+Aa5zf7hyPAkdPM8YlRsR9T\no643rHtIXY2izXPrQYAsbE+FDbUv8JG6AZc2231ag1pUHXzHKRCdjD+fOo7S6jAyqHjqRjX9WhqG\nuAGCyi7livdgsRBoyko84ZY645AgEQGPnSBbMf1K6aymP6Y/Sp7eXEfGPIwXmE17EDf6GRokO1Nu\nSsV3xtVb051NuNtpSb/p3vmpjq8a9G9832PA9ePZ3zsbkxauR+krM03jc9e4nvOmgIK3N3X0WsAo\nwNDIQMs5QzbDMYMxn2PQ5H1xM+Fzkrgsp9CQUPTs2VNON8q5XtkYYLk+hm+BW26Dr0uSNiRn4L9Y\nacOeLygqCfluf37qghT1mPeM4vB/tKJkfB26h7IrCY2P/mPXGO51KI0xjFxexKJthm4zcHPfeJzc\nP+mnua/mfY+d6UIX5Jn4HJLpdULi+4wiI/V1WT39jPOLyJH4wQKK9LuCTHiZ85C+5XYsn2JfAn3P\nbx9zrqq3bNEdPoOziaaaqwJto0AoYvsn1n8xbEYjO19YZP+SSfemTL0Ol/JyUVQfRMqoMdQcECV7\nH04QeZtXjk+aPINiY2c0CGu4aNatfv77oCXijdB+1NScNFzviKTiayjN7zeFHvzJWOeYN/z6+xhN\nhvmNc+bZI7pkzMKKWXdi8QQ1e/t6Bp6uK3h7UkbPB6QCApcMngzGDJoMpmZrtxm8uBynkNAQ9OrV\ny+OYBKY4Z4jl+7hehl0+5nYkcf2y1dTW4dO88+S3nY+9R4pRXePdlSQ81IKhtMDNVX3qcFn3ajts\nG0BvqbdeE9+HUXPhkeEIi452gjf3R4Bb+iSgLbl5HNLfYMnluR87fwy5xbmGtl7HXlZCn46OEmSp\nxdF/ei3O2kbRJ+xNl99klBOtvd7UaS76H+eXY6VNSV+L1BX2D+cVqY/hgUubMfrsJoxdKM6rG/Hj\nMX6a8zqNRtrRoFOAfMTXGv7Z9pFnzR+PAfOboUL8TSCjt8l1Iw3TbpQ3H+/1mZeIX0ZLxPsFbS3o\nd8HO550hE5MXvYP7kyKNDk775TtIWXubMcFzyW0LMbn0FeccUu8j0KuuCvj1DF1v0mNVoCMUENBh\nyGQA5WMGUIZjcTER+JL+8XVOnPOy6L4S18n188b38Mb7nAS2OT9ZWI73yLK9g7bzF71HVTGs2KFn\nUFz5PsorsnGMFsR5+xjRNf9P7VlC7Bu7w/C+deBhWMmqYYn+CtZ3f2S/TmEELY5N7jNyOtcjrAdW\nTVqFmAj7+EQnX2PtStfNz2by65ORcy7Hv+FNchQrXw/8kTY/0o60HU745uJdQe+mxvlF9BiszCRL\nYKoR6RePL6JIv8cWOtRLxY5fT/MPEPzQW4uoAh2mQGgYyAOwaSltEq6s9zNx3BuNyc6Y3kDyArKA\n23nWZ93vm5aIn/INP7/MNrvfZXjzN/LveA7WLZpQ37/4CVi1YQ5GzFhL5zLw3uHnMXq0n+b3+lp0\njxRQ8NaXQadTgEHYAFYHeAt080BcwVugmfOoKPPvge6HLfXyVdnnnNu4UFGD3Z8XIosmSh7Pv+i+\nAtPZuG72BW6Gx9nw3TdmodxWbr/KHivM8rLRdwMGbsO/hM+Rn7fxbh9C7ionyQor5TnnJDnt8nhr\nLbV45IZH8PXLvm58SeBz3OdgSQLd/Ix4u1jl+9m0RJsLVReMduR12JK6AuPe5sT5pbgNU57AagLv\neWTkzlqx0BHqDFiw8Tca+CAwHqz2oqUKhCZhOb2fLm9pPXR/+YVLzlpmPzDGP/giy/UGRzi/lPQ0\nJPlLbC3o98zN1fhOhY0mR0c26mPS/WtQ/e2VsPEvzo5fk52D0h2/FfD3MfpdoRZUBdpSATNQmqHa\n3KYZvqW8lRaYYVcNT4nLme+TfY5K8vHRImM1yf1Hz8NGYOctRdC/qGF9QnAVwXNCVLUBaMYXA9gB\n2QnXbIhnyOZcNgFxzpmbLeR3bKEFdYx9OpbELuzC1Y682mYPpchFRBcpHgw5Py/WmUNKtnWycVxg\n2vhXF9FaXmdt3XZb1N/cOL8gz9m5q7ZSaLRJJt/VdCyZNqQtuql1qgKdWIECmhNRH45wcrJ/lmLz\nEvHfm/61dho/u3F6RkN3QN5OHesyzXhWt8sMUQfSFRVg0BFY9gt6CFDF7cRVD4FsPs/7vLEryY6D\nBdiZU4jScu8wx54oA3vyJEkLBvW0IYQWuGEI5CRghnA64FPeYNsJ3FTOBazpTP0546DhH4lhLroY\nxYPA6i3Pi/VmGK6qqmrwBaqhSq1zxFpzW/xszXq3Tu3tXAv5tjc3PjH3tOzMGRN085mTOEmhBGP9\n/Bmd79CkCnR1BSpy/ukMB5iy7DuNwxG6FYCWiH9+ieMKLRGf1Mh/xe1dejLwFVDwDvxnpD30ooBP\n6HbAJ2E6gavQbL1LioAb5yUE2LsoBOB2WuDmywLf7gq9yZUkKSGEwgDWItLqiEpCbTCQiQ86d92A\n8Ajeoc1s6RbQlly6JznfzMn12H62wV8GTgZCbluAsEGBLnzAz669wZu1dvX/9/laDMBn0JI4v0Au\nLSk9y2VUa5GWfh8+eWaCy3k9VAWCV4GDW37vHPyD91zr3Pe+E4m7Vx3BvkUl6Hn5SOc8cO/36NXO\noICCd2d4StrHVlGAAY2TOecoJB/nFmE7AfdHueeNBW+8NRYVZvfbvopm3MSTK4l5NUkBbok8wiAm\nQGiJIHoWi7cZtBmqZTM3zOeakMQKy20zEMoYOyMMNmHYzqIC36yDjN15sZV3uA3XKDqdUueWxPkl\nTfc8Xx86cOWOfYhYez3mZVCk36W3Yf13vawC2MrPQ6tTBQJdgZGzXsS+W0oQ1rMfRgzx/+eg6P5D\nMNq/4CeBLoH2z6SAgrdJDN3tegowhDHDkgOJAWR8zBtPjtz+6Vm8//k5mjTpEpTVRQYrAXRiLFu3\nKY/hGNt21xOGLQFdziX8IO+L1ZldEioraU00djUhd20nZAtYS85tmvf5uAmJ23EXx7wJVXTaovJM\n+UuOaNCWg+E22qOdthwD1938OL+ALZdCB0ps4bQNmDNuNEL7byDwnmF0e1baCtz5yWK10rX1Q9T6\nO4UCkfEE0H4GJOkUA9JOtkgBBe8Wyac3B6oCDGMNEh2eK60gVxKOSnIWp4vIEdVH6tOd/Lb7WjGs\ndw0iLfUL3LBFmTeBbQZu2WTBHYZy7gNDt+Fqwi4mklwB2/VYyjUhZxDkdgRCm3Brlygq4za0buMR\nmXVu9Dpr47ZbrfoWxPkFTuO3P5zu6Eoyti5zrE455H7sSP89xnPc4+wlWLh+Ml6ZObrVuqwVqQKq\ngCrQFRRQ8O4KT1HHYCggEGTOq/7wNj46XEgxR4ux/6V9BKfexerGriQJBNzkShIbUb/ADVuwBbjN\nkC37kou1m1sRKzTfZ0yqNLfdCrDtOhKBT9fzwXLcXuNvr3ba9Lk1O84vUJHzD2MZee5f2roMmFfQ\nHvfESsxZkgwj0u8f3sPzBN7+xW9o09Fq5aqAKqAKBIwCCt4B8yi0I81RQCCb7xUg4jz3zAVsJ8v2\nLnIlKa9kHw/PKYSs04NoNckRCcDl0dUUxc/mjFbBIG22bpuXbRfrNpeRclyWrd1ieZVjo/U2gG0Z\nlVkHOae5KuBRgRbE+UXSTJrI+x36Yukm7FjkKKypq8ZKD3GAPfZHL6gCqoAqECQKKHgHyYPuasMU\n0DTDdgG5krxPriQ7aIGbM+fJr9pHSuhBsE0hAIdTzO1wa33IwBAX2BZrthm6XWGbLeLi183NMnyz\n+4fzXBtCt49h6mVVoNUVCA2lxTU8fnq4AfJW74FWqAqoAqpA51TA41tn5xyO9rorK2CGbR4nW5Wr\nbLXYe6TQWODmQF6pMYnSmwY9KLrIcFrgZiSFAOwZUT+pUlxJBKgZts2gLfBttmwLbDvhmhoW327O\nedOkCqgCqoAqoAqoAqqAKKDgLUpoHpAKCGxz58S6zfs5p0ooKkkBdn9xDhXV3l1JQq0WXNnbiiSy\nbg/oTrGueTVISgzG4kbCQC1w7QrdZtjm8gLaAtcC2JIblesfVUAVUAVUAVVAFVAFXBRQ8HYRRA8D\nQwEBboFtzvPPX8LOQ7zATQEKS6t8drRfjIVWkwzBkDgbwmk1SU4Mx1arPSoJAzZDtSfLthm4xbqt\nsO1Tdi2gCqgCqoAqoAqoAh4UUPD2IIyebn8FzLDNrbMrCVuz//UF+W3TapIHT5Wx2dtrx2LYlYQs\n2yMp5nZ0aMMFbsS6bQZuM3QzaJthWyZGmi3c0rhat0UJzVUBVUAVUAVUAVXAXwUUvP1VSsu1iQIC\n21y52bp98AS5ktAkyT2Hiww/bm+Nh9JKkEPIlWQEwXZ/ciVhOBfLtMA05+JKYoZtgXCGbNkEtDnn\nJJAtube+6DVVQBVQBVQBVUAVUAU8KaDg7UmZdjpvhk0zhErzvq5Luc6Wy1jN4/uqqBw7jagkBSi6\n4NuVZEBP8tumeNvDe9dRmGz7AjdWC0UXcUC0wLYZtHnfDOO8L24kAtwC7aypwnZne2Vpf1UBVUAV\nUAVUgcBVQMG7A56NQKesgGfJyUa3D7IQmXMA62pOIfQygNZxQRktuHLFX9ag51eHYL32BuDmO1Db\nK9YARe52Z4NCGbfkPH6Osb37iwLDd/vzUxd8Po1eUVaKSmKhMIB16BFav5okQ7PZlcSdddsM3FKe\nNTQDt3Sgs2kr/dZcFVAFVAFVQBVQBQJXAQXvdnw2ApxG/uVRhLz+e4T85RWE55929uIm3ot0HgKf\n77dvfIpWm6v7xgTUfeeHwB2pqCXYFECU3HRnQOzKmLkzvM9bTW0dPvvyvOFKsvdIMaprzEs6Nu52\neIgFQ42oJMBl5ErCdfB4eTPDNMO22bot8C1lGMwZsgW0Oeck2kneuAd6RhVQBVQBVUAVUAVUgZYr\noODdcg191iDwaeRfnYR15c+BN/5AswcbhsGrCwnFlzUW5FdUo5rmEEbTSuPDY7ojouKivQ0braq4\n8+/GhiuTgEfTUTvx2wEJjuYx8z5vJwvL8Z4jKklJef2CNW4FJKge2JOjkgBXxpIrSV2VE7bFss1A\nLXBthm45L+UEtgW4Bdq5XYVtt+rrSVVAFVAFVAFVQBVoAwUUvNtAVHOVAp2cW/74IqzLFgIXSp1F\n6gigS1PuRtE1N+BMbF/MmDkTx7465ry+7JEluOvr1yEh9zP03LsdETu2AlW0KuPRHFh+dC9CUiaj\n5un/BfoNcN7TUTDJY+QkObuSXKCloz9gv20KAZh71rcrSVx3K67qw77btegWYlrgxsVv2wzaAt9i\n2eacIVss3ALaZl3M+07hdEcVUAVUAVVAFVAFVIE2VEDBuw3FdUL3pXKELCL3kL/90dlazde+gfOz\nH0PJiOtQUVGBixcv4lJZmRNapWB1dTVKI7uj5t9SUHLrZHR/5BeIfWMdov70e6CcQDbrTYRMvQG1\n//Mn1H79JqcFt73AUiCb+yvjrSHg/uSY3ZVk/9HzsNGxtxRBr8JhtJpkUp869O1WD9s8BrFaM0yb\n3Uhk3wzbAtpi2eack2ghube+6LXOrQA/46iQqDYdRLewbs7XVJs2pJWrAqqAKqAKdDkFFLzb4JEK\njBqTJ0tLEPrgt4CPPrC31DMO5+en4zxBtM1mg62qCgzXvNXU1DQCb65DrldWVqIuPBIVaT9C1Lfu\nR/xvFiH0g3eAwrOwfu8O1Kx8DbW3TzGsvdxYW4KmjFFgm3N2JeEQgO+RhduXKwl5aOPyWHYlsWBQ\nTxtCTAvcMEALcIs129XCLcBthm0Bbh63jF3yNnjMflUpfbml7y04UHQAdeTfzv95TfzLAW80DmPz\nUJg1tNCqnNFh0bg8+nLnmD0U79KnRWfOfzf2d/i84HPjCy3/26mtqzV0b44ArC//x6+3iIgI9OrR\nC9fFXWdU1dGvreaMR+9RBVQBVUAV6FgFFLzbSH8G5tryiwj7wV3AJ3uMVmqHj8KZp9egPDYetQTc\nDNpcjpO4Rrh+mMt5LsNwy7DO99RE98Klp9cifuPvEb12GVBdhZBHvoOaFzaidsLkNoFvd7BdSr7a\n7+cUGAvc5BU4fNG5sx5SXDdQvO1Qw5Uk0uqISkKw5Am2zeDN+wxAUpa1cQfb3LSrjh6606anuQ+8\ncR9/dd2vUFpaivLyclS5PPumdoLrZA1Yj6ioKERHR6NnRE+jLWmzqXV25vI8Zk7yehjYfSB61vZs\nVa35dcdad+/e3dDe/LrrzNpp31UBVUAVUAXaVwEF71bUW8DUgG6C6rDHZzqh20auJad++SIqKTJJ\nLcGzAJlYbA2YpnsEIqRbDFdsaeON9/k6tyPQfvaeH6A6/jLEPfMoQJMvQ36cBttr76J2xLWtAt8y\nJnPOUUg+OVqEd2mi5MdHSyhKiXdXkiiKjTic/Lavopjb8VEclaTSOX4GGIYaHpts4kbCx3xNNtFK\nAEu0cs1Fu47MuU+8cV8Fknlc/Nz4nLtfN/ztr9TLusjrQrQRLfytq6uUk9cEv2ZY58jISOPfCWvU\nmlqz3lw/1yvPuKtoqONQBVQBVUAVaHsFFLxbWWMDuglEretWAv/8i1F7TdLXcCJ9LaooakkdX3PA\nGMMSf3gz1PI5vpdzc+IPera0MUgwVHBikOCNy7MFvPDmbwJPLEPcsscNv+9QsnxX/uVfQI9oZ31N\nATKBbG6L92U7nn8R2z89i12fn0MZTZr0lqw0rkRyJUmi1SQTY2oQAnsUE+4HQwuPnXN3sG0Gbi4n\nOrE2AjsyHsm99aWjrnHfuO88Hn6O/Mx4DPKrBT+/5iSul+th/bhefm0IDJo1ak7dnfEe1oM3eT3x\nvxdOfCxam1/TTR0ja8rPUYDendbcviZVQBVQBVQBVcCXAgrevhTy87rAKcNU3ZFDCFm+xH5n7wSc\n+vkqVDmgmWFAAIFz/lDne/iDm/1RXT/AGdoYrBgmuDxfZ4BjoODyAhaFFBkl7NjniP7Ti0DeEYQ+\n+xPYfva8UZ7v4f651u06NIETGQvnxbSC5C7y2d5OUUlOnit3vaXRcR+KSjKyLy1yE1uLCIpKYrRL\nPrIC0DJ2AW7OGWQ452u8SVnWxgyS5v6b9xt1IgBOcP+47zwehmN+xnzMY5UvTaJ3U7vLdfNmhnpu\nQ7QTbSRvav2dqbyMkbVlPVgHTrLPWsvruTnj4vp5k2fJr1N3Wjenbr1HFVAFVAFVIPgUUPBuhWf+\n/9k7F/CoqnP9vyEJJECiiSZqUAFBDVaCggpeQIOtB7Al1IKtGlTUAsdawVqhoQXbaKWorUBbC3gq\nHAV7FNq/waNQj4ACKlQTJFESuQhRoJJAohkhgQTyX9+e+Wb2XDKZTCaQy7ueZ2df1u1bvz1J3v3N\nt9dSASXiSv7Rd5n9iJnyr8Zq+cBDT6DavFApSYSRCk31msl1qSObXPNNKq5UnMq5iG3ZRAyIKLBe\nIDN9f3nnVHTNfxfRu7ZZi/PUjrsXx791mdWklA2U1Hb7vrbuBD7cdQgbjNjeWvqVEY2BanqudZVQ\nklQjuM2sJEldPHHbKoZ0DDp22ds3FYxSTuropqLKd+/puXUeqb06fr2vMk55iFIx2BzrpQ9tX1lK\n+3JN+29O+22trrIQu2X8wkQ4Ww/C5gGyOUnak00+n7Lp51VZd0TezeHJuiRAAiTQkQlQeEfo7qvo\nhln6PWrjm1ar1dePwleDrrOO5Z+1CDDxltk9ZiJ49Z+6/oO3myTXVFSImLD/85fr+s/femHPVPy3\nmTHl3AfHmRgR43F+ZiZqFr5qtW9vW0W29CPHuu368hszK8kBvP9pBQ4fbSyUBOidHG1elISZUcPE\nrNc749alHxUmsheb9aFBj+W6bjoeHYfaKXtJurdO2tgPsV3GJ3sZn4xfhaD9HoQ7LG1XGcrezjHc\ndttaPf2M2FlHkrPwkD50E8a6tTVWtJcESIAESODUEqDwbiZ/Fa0qvLssnutsq81RTQAAQABJREFU\n0cRzl0142DoWkSniU7ydIrpVQMs/b6knm4ooX3N8/9lLW9KnigzJVxvE8/1N32+h2kxVGP/2/zof\nAD792LxomWEJBe1Hy8v+oKPGzEpyCOs/Kce/K6t9u/c7T+3eCf3MFIAXnWE89J08q09GG7vEJrFP\nxqebXXQHEtt2oShjkaR7v87b0AUdg45P9sJHmEvSfbhD0vZlL5v2o+fhtttW6ykP4SCbfsYjOR7t\nw85Yr0WyH7ZFAiRAAiTQfglQeEfg3so/eRG19aW7EL3x/6wWjwwdgerUNMQYsSUiVAS3ilARoCqU\npK79H3kgczRf6+i5llURJ3sR3wfH3ovzjPCWFP23haidZV70lGNji6RjJpTkg53OUJKi0qpG55WW\nUJL01Ggz5/YJnNbZ4wkXe1Rsq+DWMarwlr3kSTnZpI5uKlp895aR7eCHfVxyb2Tceq8iNTx7H9Km\nnkeq/bbUjn3s9uOWGENj7ct9/uabb/D1119b2wUXXGC9p9EStrBNEiABEiCBtkOAwrsZ90r+ucom\nolviSWNW/9205vRoVnz3NktoiegUMaqbilD9x637UM3Q8rLXY7sdYss3vS/GMTOTSmzJR4hZsxJH\nppl5vo23ffu/HSZu+xA2bT+EmtrjQbuMMQuHXHCGWbrdeLfP7W7CSHDMKi99+optFdl20a3jtAtu\ntVn30qCOIagxbTjTd3y+55EaWku1Gyn7TlY7Lc1h586deOWVV6w52VVUy17maLefO8wqtPK7KOmc\nc85BaWnpyULAfkiABEiABFoxAQrvZt4cFd7ysmPcWqeXuf6Ms3H4W4Pc3m4VpOrxFXEgm9QNJ9nF\nhbQpwlfaEhtE8Mr+q+tGILn4IxyojcbaN/Kx6cjpKK862mh3ZyfKapLR6Jts5iG3rSbZqZPTY60e\nbB2Tim69bhfcds+2jlkMsNvfqEHtpEBHHHM7uXVew+jduzc2btyIVatWeV0PdvKf//mf1u9osDLM\nIwESIAES6BgEKLybcZ9VdIu3+/g3DnT6tNBq7fAV11niUkSoClMVpCJGIyHCtA3Zq8CVPuS81jja\n3rngenwy+mxsO3cg8KWY1bDo7t7FhJIYz/YlKTDLj8usJM4XJaVd9W6rsFbBrXvpU8em3m21Sfay\nabIf6zXuSaAtEZDP+Msvv4xrrrkGH3/8caOmy+/JpEmTGi3HAiRAAiRAAh2DAIV3mPdZvdUqvqO3\nbbFWjpTmqo23Wz3RIljlOFKCW9rXvuVYk4janQeqsaG4Alu/OGziuLsBIrobSLHRJpQkOcrMShKF\ntG7mJUnjMVehrGJa9vrgoEJbz33Fto5P9pJUZOu+ATN4mQTaHIGEhAT87//+L6644gocPHgwqP0/\n+tGPkJpqpv5hIgESIAESIAFDgMK7GR8DFd3i8Y42L1ZqOtr7IrenWAWqCtPmCFHpT0W3Hv+78gjW\nm/m2N247iENmsZvGUpoJJUk/E7jQbNH1zgV7xKZO5uFAHxbEZrvQlmO5Zt9kPLpJfd2k/+aMsTH7\nmU8CrYFAz549sXLlSgwfPhw1Nc45+wPZdeDAAWzatAlDhgwJlM1rJEACJEACHYwAhXczbriKX3mJ\nKmaf5+Wp2rSeVny3CFm7tzscQWrvQ45F5NeYWJLN5gXJ9cVl+HTfN42OINFRhl4XJBnBfQKnxzln\nN4mq914QRD3ZsreLbl+xLeORcQR6kAhnfI0azwIk0EoJXH311Xj++edx++23N2jhP//5T8gm3vEp\nU6bg1ltvtX6/GqzADBIgARIggXZNgMI7zNtrF8QivDt9U+VqKQonEk+3BHdzRbeaJu0fN1uRWUXy\nXbO4Tf5nX5tQksZmJQEuOFSMS9f9F84p/QAV815Bl07djGh2Li3ekNDW6yq4dQwqtGUvSUW27tVW\n7kmgIxG47bbb8Omnn+I3v/mN37Avu+wybN261fqW6sMPP8T48ePx85//HJMnT7a2s88+268OL5AA\nCZAACbRvAoHXEW/fY2726ER0S7KLb9QccbbbJc4dgqFiNVRxqu06G3L+dNTF4o2tlcj526d4+rWd\neH97RcOi23ii0xKBoeceRVbPg7h63z9xthHd8npjdF2t5WmLj49H9+7dIXGqiYmJOO2006y9nMvW\nrVs3dO3a1VrsRz3fIsJFgAfzdttt5jEJdCQCjz76KCSW25569OiBDz74ANu3b8eDDz5o/Y5JvoSe\niEg///zzkZ2djX/961/2ajwmARIgARJo5wQovJt5g0Usi0f6RGxnZ0u1x9yhGKEIb7t41+PO8Qm4\nYEgWhv9kATYf7ou1JWaO4OqGPdynd+2Eq3vG4M4BJzCqdzV6da9GNEzc+QmzuqSxKs4o7/iEREtQ\ni7BW0S3CW0S4XJNNVtaUzVdw28cR6kNEM7GyOgm0GQLyO7F48WIMHjzYbbNMISgPrH379sW8efOw\nd+9ezJ8/HxdddJFVRha6WrZsmVVH4r9feukla/ErdwM8IAESIAESaJcEoozYC28y6XaJI7RBCTIR\n2zJf9tGjR3HkyBF0+2MuEv72F6uBvatKEHfGGdZKdSJiNVxDW1fkstc2HGaVu/wdBzH/pf9DYs8B\niI5xCXmt5LPvEhNlXpA0C9ycWY+zuta5F+uwpjY0ceDyj/30l/6CxPVvoLPxVh966R1LcIvoFq+3\n79L1Kq5lL0kFtu59uucpCZCADwHxZl911VWWV/uLL75ASoqZn9Mnye/86tWrLREusd/6t0CKyUI7\nItgnTpyIs846y6cmT0mABEiABNoDAXq8I3QXj6d44jVjD+x1C1d78/JPVjcrbtsI5NKyw3jlvX2Y\nuWI3Xtz8FZL6XNmg6DZzh+D8pE4YcVE07jEzBV5/fq0lukUci3dNxLSEiYj3WjzZSV8fwmnmDiee\nkeK+JnkMJbHfFR6TQGQIiFiWaQZFOAcS3dKL/K6OHDnSWoCnpKQEDzzwgPVALHn//ve/MWvWLCsM\n5a677oLEhTORAAmQAAm0LwL0eIdxP0U82z3ehw8fRvSGN5H6i7ut1ioeW4T6EbdYYRvysqLGRqvo\ndlTX4t3ig9asJHvKXLHhQew4rUs9Ljqj3vJud+/smW9b4641Blv6kqS29bh/DDqbh4DjGYNR8dR/\nW3Gm4u2WcBKpo15u7ZrebSXBPQmET0B+z5vyuyTLzcvsKH/+858hS9LbkyzUIzHiP/jBD6zfWXse\nj0mABEiABNoeAQrvMO6Zr/CWUJNj+7/A+WOvslo7/KNJOPLQY+54aRG4J0xAz0efVeDt4nKz/9qa\npSRY18eqHdhX+DauNZNuD728j9WWhoeIaJZNZyDRvQp8CV85cfAAzvnhtTDr5ODw2HvguP9X7lhu\nKS/1RRw0RSAEs5d5JEACzSMgf1def/11Kwzlrbfe8gpDSUtLw/333x/Um9683lmbBEiABEjgZBCg\n8A6Dsq/wrq6uhni9e979HXTa+xmO970UB1/4P0ssf1l1HBuNd/v9HZUQT3ewJOHVFbu3ouS9POz/\neAOO1x61ph+T+YI1RETEt8SN66aiW4W02CbCO/qN5Uj67VRILFH5b/6C2htGWeEn+vKkivRg9jCP\nBEjg1BCQMBR5GfOFF16w/raoFfL7L1MYihf88ssv18vckwAJkAAJtBECjPEO80YF8hZXDboOx41n\n+6t9+/HOe7vwm79vx6yXt+HNwrKgovuMrlG48pxajEw7gOK8Ofhiy1uW6BbTRFCLWNa4bZ0C0D4N\noMRzS9y2vjQpdU7bsBrm/UtEm3/U1QOGuKc4DGR3mAhYjQRIoIUIpKen49lnn8W+ffvw+9//Hhdc\ncIHVk7zMvWTJEgwcOBBDhw7F8uXLrQftFjKDzZIACZAACUSYABfQCQOoeJV101CNOqO4N1w+Bp/U\nXoKt5w/GiV0nTMtHG2w9PjYKF6d2wsXJx9E96jDEa14dwCMuHi4R3TIbiQhsEdc63Z/GeOtMJGpT\n9KEydNm01uq75ophqO+e4I4zV3sbNIwZJEACrYaAPGD/7Gc/w9SpU60XN8ULvmbNGsu+jRs3QrZz\nzz3XHYZyhplNiYkESIAESKD1EqDHO8R7o6JW9pLkBUbZPjtgZiXZfAC/ff0Alh44E1t6XoMTUdEB\nW+1kPNB9zojGd/tF4+7LT+Dqc44iqXOtFWctISMiqH2FsXi7VXSLAJdNX5DUmG8R4PqipNjXbcXz\niJL5xI0VX428ld7ugHeDF0mg7RCQ3+/Ro0dDYr8//vhjTJo0yfqWS0Ygc4TPmDHDEuD33XeftVpm\n2xkZLSUBEiCBjkWAMd6N3G8V2nbhfchx1MRtl2P9J+X491c1jbQApHSLQr+UKDMzyXF0ifZMm24X\nyzqftywnXVpa6m7zmWeewYgRI6wVJiWcRMS2XWiLUBfbdCaT2n2fI+F7JvbTrKR5/Lw+2PXcG+5p\nBtVbrvHgviLf3SkPSIAEWj2ByspK/PWvf7VmQ9mzZ4+Xvddff70VB56VlWX9vfDK5AkJkAAJkMAp\nI8BQkwDo7WJbsuX8aO1xfLDzEDZsK0dRaRVMsEmAmp5LXQ9XIH3nO+g9/Eokn3emexaRTp2cS6+L\n+NVQERHAsuCNeL3lmj2JF1w92/bZSDS8RMuKjbJ4Tvzvf2mJbrleftcUy9ut/UgdrUfRreS4J4G2\nSSApKcl6+VpCUfLy8qyXMd9++21rMO+88w5kk6Xpf/KTn0A84cnJyW1zoLSaBEiABNoRAXq8XTdT\nxbacyrFun+6vwjsfl2PzjkOoPtbwsu1ST6buS+t2DH0OFuGSRT+HUcLABek49ss/oIvxVms4icZo\nq/iWuseOHbPivMeNG4ddu3bJJSstWLDAWnBDV5yUNtRTLgVUcIvHHP/7MuKm3W3VO5ZxFXbPecHy\nhD/yyCOQ2M/evXujT58+1l6OZYoyCnALF3+QQLsgUFRUZAlwWY5e3hvRJN92ZWdn46c//Sn69++v\nl7knARIgARI4yQQ6vPBWwa1CW/ZlX1dbUwCu33bQHDceSpLaPQp9T6tFWpwDx48etjzPqS8vQtf8\nDZYY7zT8e4j66a+s2UkkZlsFuIZ8SJ81NTXWtGHy1bB9EY2FCxdi1KhRVpy31hWxLJvUkxAT8XSf\n+GQL4sZ/GzjyDRDfDaXP5uFY2vmWt3zx4sX49a9/7ffRkgeAnj17olevXn7bpZdeai2441eJF0iA\nBFo9gYqKCjz33HPWzCiff/65l72ZmZlWGIrEjOs3YF4FTtJJZdFKvLiqBF3SR+Le0f3RNr5+rUPB\nyqV4q6QK6SPHY3T/pJNEi92QAAm0FwIdUniLYJWkexGvR2tPGK+2xG0fxLZ9DskMeo+7x0WZlSRN\n3HbyCXSPPmp5rMVrLSEj0l7ssaM4f+4v0cWsHNnZeMI73T4J0ZOmWeJbPd76T0+EsyzC88033+C7\n3/0uduzY4e570aJFlvCWGU3swlvtl7r1O4vR+a7/AA5+adUrn/YUKjK/Zwl8qSOhJrIC3meffeZu\nN9iBfIX9ySef4JxzzglWjHkkQAKtnID8fXj11VctL/j69eu9rJUHbglDuffeeyG/8yc3lePJAamY\nXmh6nZqH2mdGtxnhvXJSLLIWCa1c7KufibSTC469kQAJtHECHWZWExHZ9k3EsZx/XFqJv6zegf9c\n+CEW/PMzbNtb1aDojjWxJBendMKYb0XjzozjuPLsYzitc53lNZI4bBHHOgNJ3Bln4sjPHsdpiach\n0VBO+p+FOP3Z3yLOhIpIWdlUgGvIiQrxxj5TOg4ZAwreR+c7v+MW3V/f9p84dMN3LZukXfGuy0uZ\nc+bMaaxZd75MWUbR7cbBAxJoswTkoVuWm5d4748++gj33HOP9QAvA9pjXsiUMDSZjlBe6t62bdtJ\nG6ej4G9O0Y0MLJ86qo2IbsETg1HTlrs4zcKKgsqTxowdkQAJtA8C7d7jLSJVkopV2f+78gjeNatJ\nSijJQTNDSWMp7bRO6Hcm0Ne8mxQN5+qTIpJ1E4ErScI/RAxbXmhXv6f9uxTn5z6AGEeltYpkpyuG\n4vjvnkP0eb3d4SLiJRePd1VVlRXP3ZDHW1+ylL7qjScr6r//iGh5mdJ41yV9c8sE7PvxdOtYRL14\nu3UTAX7TTTdh3bp1Vn5DP+TrZ3lRi4kESKB9Ejh48KA7DEWmIrSnb3/721YYys0339yCYSh1WPmQ\n8RrPNT1nLkDF2kk42f52+5ibflyO+cNTMUX+lLYpb33TR8oaJEACkSfQLoW3XWwLMhHD8mLkpk+N\n2C4uw6f7TBx0IylRQkmMdzv9zBNIiDXhHEZIi7AWsS1eJPUmi6CVc9lLUuEtYlrtSPjyC5xrxHe0\nEeEm6gRRXbuj/seP4PjdD6I+vqsVniJLzovwlnhuu/DWGG/xpovwln6jPtyImCdzgK2brT5Ni/h6\nws/w5a0/ts6ljJRV0S0iXGyU+X8HDRpkPRi4KnrtxFv/6aef0tvtRYUnJNA+CcgL2f/v//0/KwxF\nFuKxJ1kp84EHHrA85LKIT0RTTRHGx2dgqWk0e1kxXrw9PaLNn4zGipaMR8YEawQorH4R/eNORq/s\ngwRIoD0QaDehJiJy7ZslgI3g3rq7An96Y7sJJcnHc299FlR0SyjJJanRuMWEkow3oSRXmFASEd0i\nuEVYi5CVsA0RwbJ0u27yj0lEq5yffvrp1pzb9llIjp7fB3v/uALHho10Cm/zAmSneY8iNrMvYmY/\nAhTlo97YqkLd94NlXa84iOh/vIDY225AzB3DPaL7jFSU/fa/cOCHE6368mAgtorYlk1EuFyTMQwY\nMMCK5/RtX88lxlyWp5YXPZlIgATaNwH52yCzKG3YsAH5+fm46667rAd2GbW8DyLTFPbo0cOKAy8p\nKYkYjPIPVlmiWxrMGtzLq926uhrIBE2BkjOvgcxAFRq8Voe6GrM1mA+Tb+wIkn/hkBtduUvx6gfl\nQUoyiwRIgAS8CbR5j7eKVbvo3n/oiPFsl2OjCSWpOHzMe8S+Z0aQnnuaEdwpQO+kE4iudwptu3db\nhKx9E0Er5/KPS/biTZZNkgh+8STJi5ZHjzpfupRzbS/5/bdwxqLfAfs/97LkxOln4GiffvjHlo/x\n2aGvUGsiZBLMY9Et11yF82uqELt7u4kvkWXoXSk6BtWjbkXZhIdx1HjQpV+xQWxTb7d6yOW69C9b\nWVkZLrzwQsu7rk357i+++GLITChXX321bxbPSYAE2jGB8vJyyLdsf/nLX7B//373SOVvx3e+8x3I\ny94yE1JzUsH8MRg0xYSzZZiXE7d6Xk4sWjgGGZOdYW7zNlXgwcGeAJRdK2ag77jZVreLi6twd3pC\nmCY4sHBMIqxuskyYy6v+YS5u+zARxdULkR7Qm12KGQN6YbZ5OTQjZxXynxjRhuLUw0THaiRAAhEh\n0CaFt11sCwURnYeP1uG9EhNKYlaT3HWg8VCS000oSb+zoq3VJLvHeObnDhRKIuJaxbYKbhHd6k1W\nYSu2iG0S420X3iLARXxLnuWRNuWS17yK0/LMV5Xbi6Ra6KlbAmq+PQaVY+/B4bPOdYeNqKdbvPIi\nuO2iWz3e2slTTz2FadOm6am1sMbSpUutxTj0BSupIx6vxx57zPL0uwvzgARIoN0TkFC5v//971YY\nyvvvv2+NV77N27dvn3up+vAgOLDECN8Joq+zzVzjL94O1bU1u1ZgcN9xkIlOgBzsrH0CfWLMYeUG\nDE8eBuvtlMx5KFv7IIyfJMxUh7UzbsKNs63WsHxPLcb2lE40GUEdZQS1nGYtRtWrdyOwxLcJeGNT\nhbHJ85igbXFPAiRAAv4E2ozwVrEtQ5BjS+CeqDehJJV455MyFJh93XHjJg6SOseY6f/OlLjtepzV\n1SmE1RMs4lnFtK/QlnO74JayIkxV0Mpek9ilXm/55yWi2+75ljzpU+pIO11Ld6LLprWI+2gTYkt3\nIPrAfpOvrQG1neNQ3+siHL24P2quHIYjA68z1zpbfWhb0o7Yp4JbHxLUTmlN+tQkDwWXXHKJe6Ee\nEd133HGHZeejjz6Kp59+2i3oxfu9ZMkSDBkyRKtzTwIk0IEIfPjhh5YAP++88/Db3/62eSM38d2T\nTHz3ItNK1oJ8vDppoFd7Hm+zyZ9n8h8ciBWTojBOKpi0fGc1xvZRqe681tSfNSVLEN9vglXN1wZH\n0RIkZjjzcvL24InRDXv3Nz85BkOmmyeINvmCaFOpsTwJkECkCLR64a2CW8W27L84eMQS2zIzydfV\nzllGGgJiAixwfpKZlcQVStLJhJJIUvFrF9sqsFW4NiS2VXCraNf2ZK92itdbvNwivkXo6ibnIph1\nXFJHyok4lxcs77n7bhzcs9ua+9thIkt+/bvf4YYbbrC8zmKPinztW+yX6xpiomMQ0a1lZO+bZG7f\n73//+5AFe+TYnv71r3/hbmNHcXGxdVn6fPjhh5Gbm0vvtx0Uj0mABJpGwFGAMYmDIA5vFdbeDdg8\nzsjEnHlDMH2KM8Qkc84mrJ022Lt4WGf78diAHphluda95+Le8NhwDJsl3vAsbKp6FYMDu7utXosW\nmhcsJ8sLlo2XDctMViIBEmiXBDyu2lY0PBWvIlBlExH7tYnVXpW/HzOWbcX0F7fijYJ/BxXdyV07\n4dpeMbh7EPDdC2vR5/RaMxWgJw5allDu1q2b34uS8oKkzsUtL1Jq6IaKcRG66kkOJGz1mpSRsiqI\ndYYR2Ys4lnxJMjYNTRFxXmfG+7Vx3Jcb0S2vOKpwl72Gq0gf2ra9XbXR1z6rI58fY8aMseb3lSXp\nfdNVV12FLVu2WOEo0pbcAwlPufzyy7Fp0ybf4jwnARIggdAImMmfgmhZ00ZP5OTr36R1btFt5u3D\ncz+LhOgWM9Mw7qFsl72z8GaJWTBNUt0u/MMS3eZ44j0YFNxQq4rzRwLMsJhIgARIICQCrUZ428W2\nHIvYq607jg93HMTvXyvB/Yvy8cI7e7Cn7EiDA4szoSQDzonGrf2jcduldRiQchRdo49bXmIRuxKK\nobOS6CwkMiOJXWyLGBdRLmVVyIrIFa+vr6c7kCdZjGtIfEu7uolglvalbU12L7j9mlyXNkUE6zik\nvm9bKujtXnFtJ9D+lVdewdlnnx0oyxq/LLrz7rvvol+/flYZmdng2muvtQQ5Zz4JiI0XSYAEQiRQ\n5VoTwbd4wsB7sSonw+tyzvpZznhvr6vhn6TfPMEs3eNMLyz/yDpwFL4FmVpc0px7hjbhZckz0ZXK\n2wmOP0mABBol4FF9jRaNfAG70JRj3faUHTYvSR7Ae9srUHUkeCiJ0cM4Xxa4OSsKPRPqEB3lCSUR\nUStiVfYiSmVTMa3nkqflVFz7CmwZeUMiuyEqWl7bkr3YovaI91r7lTbE6y3hJlpP27WLbRHadvvt\ntks57cu3DW3Ldy/lG0uDBw+2vN+zZs2yphoUO8X7/dprr2HJkiWQfCYSIAESaCqBxAb9xA58+YXz\nFUtt84tdB4Ch3q8v1jhqEJMQ1wSBrK2ZfcqVEKf3BBMpsm7WP1A6cyg+f/1lV4GJGD3I05c1tWCM\nWYyswf+Wu/G1/JtqXui5zTgekgAJtGcCjSuvFhi9CmzZayhJ5TdH8fqH+/CLFz8y4SSFWP3RgaCi\n+8xunTDsghhMGNgJN19Yh94Jx4zorreErYhTEanivbZ7tn292+L9lnK+3m1fERuqkPVFJfVkU9Et\nQllsk/7UYy02qB1yzbcvHYt6t+1lpR15gJB2myq6fW0Ndi79qPc7PT3dKqre7+nTp3Pe72DwmEcC\nJOAhYASqK7AD6OK5bD8qXZlrCWL7taUTfojVntkN4ShaiPjEePxkxS57sSYcJ+DmCbmu8nOxesNa\nrFohsd3mXcncbKSryK4pwFj5pnLsEo/drlqeHUNNPCx4RAIk0BiBkya8VWyL0FbBfcyEkrz/aTme\nerUYPzGhJEvXl+Lzg9UN2hxvvs67rIcJIxnQCT/8Vh0uPeMo4jrVWaJTBKoIVxGmssCNCm5d5MYe\ntx1IbItwtYtXFc0NGhNihrZjF+DqeRd77ZvYJTbYk114a1m74PZ9SLDXjfSxer8feeQR6wFHvN9P\nPvkkBg4ciM2bdRXNSPfK9kiABNoNgYSzMcgV47G7tMx/kZrKzZhirSVvRmzm2c5fr/HehRg53SN+\nY2OdAdjndleFbAR9+X4zU1MpKs3iOKGklGvGQCO9Jw+70ZqTW+rdOe4yW/VY9DZnGWd1tl2TQweK\nNhp3uaTM64zjx3nInyRAAiTQGAFvlddY6Sbmq9jWvYhu2Xbsr8Jf39qF+xeaaape34Etu7/CCeP9\nDpQ6GY9xnzOMVzu9E+66HLgm7RiSuzgXpBFPr4hQEazi3VaRrXsV2xq3LcK1IdFqF92B7GjuNRXg\n0o+IZQ0TUREuAls2KWdPmi972aSe1PcV3L717G1E8lgYitiWJabV+y2zn0js9y9+8QsrXCaS/bEt\nEiCB9kQgGf2GOMdTuGm7jxe5Bit+McSa8URKLPvdXRg49C4sn+ga/9IJmLvW6faOS78d1VVVyBnR\n05lpPNPjU3ugb99e+MEi7zAVV23/XVx/TPCJJZdFfW6yL85jyjxVXYXNf77d56XQOjhcrvuMIT19\n8vy74hUSIAESUAItIrxVaKtnWzyjB6uqkfevvfj5f2/BzL8V4a3CA/gmiGcitXsnXN87GvcOisKI\nPnUmfts5K4kIT/UC2z3bGkZif1FSwzJEbEudUy1aVXzrXkS4XYiLmPYV0L75p0pw6wdG9zKvt8x8\n8vOf/9wag9xjCUeRmU9kOkImEiABEvAnEIdLr3b5mdetxceVnhLlG+a75+vOyFmD29MlaDoOYx9f\nYyYWdKZZN05HgRG8zlCTRDxboA3EusVvoqfJRo+uue0hrzJZ948xc57YkwPPDk5E/B8K7BfNoj5b\n8HKe81LGRb3CizP3bpFnJEACHYRAxIS3im17KMnR2jpsLC7D7/6xDQ/+tQD/s/Fz7K+oaRBtt85R\nGJgWjdsHRGPcJSaUJKUWnW2hJOLZ1lAS9WrrXr3bvmJbvcQqclX06r5BY1o4Q/sXu+zHvt1KnpbR\nvZb3LXuyz8X7LS9ayswndu/3NddcQ+/3yb4Z7I8E2giBXkNGuizNw9tbyl3HDrz+++mu44lYnDPc\nM5qU4Xh2mdvtjY07VGx7itQd2O1a8dJc6xL6FCNx/W9Crk5vYuY5ued7/TyNuo66nGGiSXxenCzf\n8q5zJU1TJiuzr18dXiABEiCBhgh4AuQaKhHkuohtTSq8Zf+pCSWRpds37ziEI0eds4xoOd99tBGW\nF5hQkn6pUTjXeLVxwhlGIuJSvLuyaZiF7sV7rYJa9loukDdY2pGke9/+W8O5CulANgbLaw22iw3q\n/Z45cyb+8Ic/WDO0iPd75cqVWGJmPpF5wZlIgARIQAjEpV9rFoSHtSz7itfykTN8hPEYJ+DuV2vx\nI/MtaIx5oPf9x5R++0LU3jIPdeYbzzizOYrsLOvw1tyZLuGdhZxb+9szGzmuRbVGpmTej6Fpvj0H\nql6H919b4cwwoSnXeC05H6g8r5EACZCAh0BYHm+7yBYPt4QZHPjqCP7+/uf42eIt+M3Ln2Ddx2VB\nRfdZCZ0wvE8M7r0CuOmCWpzX/RjEGHsoiX1WEvVsy15CTCRPvNsatx0olMTuIfYMmUctQUC93xL7\nLcvMS5LYb/F+5+TkMPa7JaCzTRJokwR6Yuy8LMvywrnLUOz+EtSI6gCiW4coglxEt1/a/xamz3Wq\n55xV8zA4ya9EgxcqN79sPQBIgan3fxshVa0pxHJXf/6hKQ12xQwSIAESsAg0SXj7Cu7qo3Vm6fYv\n8fjyTzDl+Y+w4v29+PIr919RP8TdTSjJFed2wvjLojG2Xx36nXEMsWbebRHI4rmWP7oipu0zkkjs\ntpz7hpJIWbvnO5C3288AXmhxAldffTU++ugja4l5ua/yUPY7s+y9zHzywQcftHj/7IAESKD1Exh4\n24OuuO2l+Nvbpc0yePVTI53e7uxlmKUvW4bUYg1W/UnDW7Jwy419QqpV+uaLWGqVzMLDTfKuh9Q8\nC5EACbRzAiELb7vo/uTzr/Dsqh34TzMryYJ/foZte6tg5ggMiCqmUxTSU6Ix5lvRGD/gBAan1SGx\nc60V+iHebRXb+qKk/SVJu3db4rulbEOzkrSFkIyAgNrhRblPTz/9tDXziXq/t23bBhHl9H63wxvO\nIZFAUwmYuO1fuWYUmf3kOp/ZTZrW2IW3rEJe3hrsee72pq1h49iKOU4FDWRn4+qQ3N0OrJ7rXN8y\nI/dh3zV9mmY4S5MACXRIAgG+t/PnYBfdh8xqYY8v3wazzqR/QduVNFlN8kygbzIQjWNWjnhAO3Xy\nxG1rWIk9dluu2TdnHf85tqXBQDHRNhN4eIoJqPf7V7/6FZ555hm391tjv6+88spTbCG7JwESOFUE\nhj+Rj6pHHIiNT2iaYPYxuM/QEQjNV+1TMWEA/lGYb1adjMXZF/bziyv3Ke06TcC9b1ThVrPcREIS\nJ+8OzIhXSYAEghEISXhLAyK+JWygm3lh/JJzu+OTva5JTG2tJ3Yx3u3UTrj4jBPGq11n1RFxrGJb\nBLWKbNlrqIgc+4ptCR1x1vXM+qFdUXArida/V+/3LbfcggkTJmD79u1Q7/e0adPw6KOPWt9itP6R\n0EISIIHIEjCvVCaF5GYO0K0uexnyv7AAbcShT/+BAa77XzpkuxQTl4Akn1lObNk8JAESIIGgBKKM\noA7qulZvt4juuro6a3nw9z49iP/e8KXVcIwJVrnIhJKkG+/22d3MrCSmORHGsol4VkHtK7RVgGu+\neLbtcdpyLklFtu6ti+3khz7MHDt2DIcPH0aVWRBi5MiR2LFjh3uEixYtwqhRo6wXSkXECjfl6y7U\nRg6qq6sh3u+55qtaeSlX0re+9S0sMTOfXHGFecuWiQRIgARIgARIgATaMYEmxXir+L44NRYXpnbG\nqEu6YNLgGAzvVYdzjOiWVSZFSIsnW+fb1hclNXZbX5S0z0oi5WWTuiK+g3m72/G9aPdDkzj93//+\n99iwYQMuuugia7yffPKJNR3hL3/5S8gDCBMJkAAJkAAJkAAJtFcCIQtvAaDe7044gR8N7IpLUoDY\nTvWWUBbhLB5ZnQJQBbdOA6hTAEq+lJNN6miYid3b3VY9uu31QxLpcckUgzLzyUMPPWTNaCMPdE88\n8YQ188mHH34Y6e7YHgmQAAmQAAmQAAm0CgJNEt4iiDUkRASzzDAiXkwR0yKsVWTrXqcA9PVuq9jW\nFydVaOu+VZChES1KQD43stjO+vXrceGFF1p9ifdbXsik97tF0bNxEiABEiABEiCBU0SgUeEtYliS\nCm4JB1HBrVMAqtDWvQpuXeDG17PNUJJTdLdbYbfXXnsttm7d6vZ+y3sE4v0eNGgQ8vPzW6HFNIkE\nSIAESIAESIAEwiPQqPCWZtUTLYJZvNUaUqLCW+O25VzFtohzX8Et4l3bUkEfntms1Z4IBPJ+f/zx\nx1bst7yMydjv9nS3ORYSIAESIAES6LgEQhLegkeEsgpv9XiLyNYwEhFPvmKboSQd94MVzsjV+z11\n6lTrGxbxfv/2t7+l9zscmKxDAiRAAiRAAiTQ6giEJLztXmoV3+LNVqHt69lmKEmru89txiB5gJPF\ndt555x307dvXslu93zNnzqT3u83cSRpKAiRAAiRAAiTgSyAk4S2VVHyrF1vEtc7BLceyMZTEFy/P\nwyVw3XXXobCwEFOmTHF7vx9//HFrvu+CgoJwm2U9EiABEiABEiABEjhlBEIW3mKhXXzrsewpuE/Z\n/WvXHYv3WxbbsXu/i4qKMHjwYND73a5vPQdHAiRAAiRAAu2SQJOEt52AXXjbr/OYBCJNQLzfMvOJ\neL/lcyex3/R+R5oy2yMBEiABEiABEmhpAmEL75Y2jO2TgJ2AvMjbkPd71qxZjP22w+IxCZAACZAA\nCZBAqyRA4d0qbwuNaojA0KFDLe/3gw8+6PZ+P/bYY7jyyiuxZcuWhqrxOgmQAAmQAAmQAAmccgIU\n3qf8FtCAphIQ7/e8efOs2O8+ffpY1eVFzKuuugri/a6trW1qkyxPAiRAAiRAAiRAAi1OgMK7xRGz\ng5YiIN5vEdy+3u8rrriC3m839HKsXDgfT85fgoLyOvdVHpwsAnUoWLkETz45HyuLKk9Wp+yHBEiA\nBEiglRKg8G6lN4ZmhUZAvd9vv/02fL3fjz76aIf3fpdvWICsyVMwfcoE7D2iTB0oWrsSL720Aht2\nUQwqlZba7319AqZPn4KsjD9hf0t1wnZJgARIgATaBAEK7zZxm2hkYwSGDRtmeb9/+tOfumO/c3Nz\nrdjvjz76qLHq7TS/Ev/4/Szn2KbmYVTPGOexYxum3JiFO+4Yh2EPr0JNOx196xhWDEZNW+4yZRZW\nFPBBp3XcF1pBAiRAAqeGAIX3qeHOXluAgHi/58+fj3Xr1uGCCy6wepBpCCX2+9e//nWH837Xla7B\n5Dwn6Hnjh8IluyNM3oGXJg2wHnYeeqkkwm23jeZqSpZY448a8BCKAjzFxPS5HvMynWOZ8uIGMOCn\nbdxXWkkCJEACLUGAwrslqLLNU0rg+uuvt7zfDzzwgCWI5GXL3/zmNx3O+128zqW6MRE3XZLkuScJ\nA/Bc/iasWbMexc/egjhPTlhHjgOFVr3dB92xLGG101Yr1dYedZpeuBtHAr7Xm4LMO7OdZeYuR3EA\ncd5Wx067SYAESIAEmkaAwrtpvFi6jRDo1q0b/vjHP54y77cs8lNT04BvM1ie8YfW1dSYRYKaC7oc\nq15Y6mxk4nfQ10tdx6HPwMEYPnwo0tO8Mky/3n1Xlu/H/v37UV7ZkFr0GFpVE1B1eg2kprLcam//\n/nI4GmzSm53TBlPe05WnzRoHysXGcmkvUAFb0VD6NsV9+Ttc9crLHZ7G7Ef2YTdgwoVDbnTVWIpX\nPyi31+YxCZAACZBAByJA4d2BbnZHHGow77eEobRIqinA2NhYxMfHYpJv+EVdCSa58sYsLPDp3oEl\nY2IRGx+Psc/65vkUbezU8RneW+cslPP9a3zCTKSfKOvbgDELi9wtOYoWIjY2HrETlmBXyWpMGhCF\n5NQe6NGjB1KT4zFg/HzscotlE2IyXtpIdoezrJs+xBlyYVYXHf7YWne7clBp2ntoeBTik1Ot9nr0\nSEVifBTGzHgJ+73EqrFtrJPdwg0FWGLCWJw2mPI3LYRb+taV4qUZ4xEVn4hUsTFV2ovF8EnzUeQz\ne0vofQMWA8M/dsJLKC3dYNmc6LI5NTURUcMfwob9Tgg1Rc4Qk8RBk11jzcOQZCfXqKjhWGuzIy49\nEzkZzmIrVuUz3MRFjDsSIAES6GgEKLw72h3vgONV7/fatWu9Yr9l0R0JQYn4vN8xp6G3i/OiV97x\niEVzraZ4Exa58vKefQtevs/Kj/CCRod0ad6NqtnzEbSpi3olNNzYUbu71lVs6QT07TcSi5wRJO66\nhUunoO+PlrjH49jnzvI7WLe3wi0uKwsWItm0N9f1IICMTLg0KPJm34EeN8335uBqbfKwQZhgNyLR\nBcWI7scG9cIds10efVvv6xZNQcYP/+q2Mdy+sfQO9Oo1zGOz9rFuLob1+DEKzBNAbW2VXg2wX4eK\nKvsTRTJ6uj4UhZu2u+0LUJGXSIAESIAE2jEBCu92fHM5NG8CN9xwgxX7/ZOf/MQd+y0vXcrLlxH1\nfsf0wS25rrfp8lZhm20iix3vrfEYVbgM+bb55cq3vA3Vprd++xJPuTCO9hSpxzwbGT2CCO8gbWfm\nLMOeimpU7duEqW6l/AzWlYqgTMBdfy9DRVkx5riGmpGTh7KKMuzbtw8V88a4vOyleMrtEc7C8sIy\n1G9di621ZcjLzXL2vm4KFqy1gfCyKQPzjIe4OH8Nlt+TgViTV/LKE5jleijImLgAO6tqUW9EcOGa\nBbBMOXTUJfqb2zcg7ReXVaG6YicWTFQIS5H7UhESMiairKwCO1fNcVmcgbxiYbIP+8z1MX3sYTwJ\nuOwa13jRzKcqLz48IQESIAESaEsEKLzb0t2irc0mIN7vP/3pTxDvd+/eThekTDco3u9Fi9QX3exu\ncNnNY1yN5OHNLerXrsR7q+xe2kL888NSV7k65L+1wnWcg2u9RFvT7al16IuO7uCMJjWSNWcN3nzi\ndvRMikNC2mDMWjTPVb8Qew4524xLSkFSiglDSXRm9TYu3RRzLS0tDUlxMdbFys15mO2qOWfTYozt\nn+I8i0nB6JnPItelZVe8Vuj2kLuKW7t5m97CgyMGIn3gcIwdPdC8CFqKF+7Q+5RjFgeahD4Jpq+Y\nBPQfPglrq8qMEB6PJFO7uX1n5q5Cvmk/PSUBcUl9MGneUmS7jMtb9R4cMXFISUkyoTOnua72xrm9\nhEka0sx1JwFXltl1Pc31ALRuFbaHd1s8jfGIBEiABEigTRKg8G6Tt41GN5eAeL+Liopw//33W97v\nEydOICNDPZrNbd34gy/JdIu0Fa+5Ynort2OVxn+4upj7+gfOebRN+MQ/ZzvduJm5I9Gz+Sa4WwgQ\nTOLOC3yQhVkPDvcSjkkDPOMJXMdcDRC2snuzJ9Y77theEzteZHEX9rtKvkC1q7HCrf7hFxk5a/Dg\nYJdQ104dh7DNdZw5J8ufU0IK+qSJ7Aaa0zeQhacfGeHFAHH9ME5d/3kF2OOKd/fi63XiMtRvl2B5\n7v0u8wIJkAAJkEC7J+DrlGn3A+YASUAJiPf7z3/+M8aOHYuCggIMGTJEs5q/d4m0pXMLUTj3nyh9\nZgRSt7/jjLvOzMHyO6sxbsJcYFEedvx5LPqVboY5s9KYmy9tfv/NbUEEpD1SAiEpSr9eY7t4wlym\nDMvAFL8SrguH/DN69zzd/6KJNdEWM684zz/fdqU5fVvN+DGIwbnWtyTygNQVsWH/9TwTXSVmhokE\nSIAESKDDEQj7X0eHI8UBt1sCmZmZkC2yKQZXfG8sYIS3+YHNpblI37za2cWAb+O7Nx+zrgNL8d7O\nZ9G1YJWre585t11Xm7NrLRovc2ouRiQbx7jfYKqRajzqKqjd2f4F3VnOg9BH1uS+fXrS09qaKtfh\nQRwRd72f0Voy2H43vvYT9cHKM48ESIAESKC9EKDwbi93kuNodQTSLr/BetlPXph8Z/U/sXet89XJ\nnP9IR5yJoMgx1yX+eeOb/wQ+WOq0f+rNPnNuOy839Wft0dYRROyxIwvznpqJ/s39i2MEq45s3Yef\nYeZwn1AUG6hm9+2n62uwq8j1+mvGRTg7LNEtBjLUxHabeEgCJEACHYoAY7w71O3mYE8qgaTLcKdr\nIotFk8dhuhXfnYFhGanGjDSMdM18snTKOEx26e7c713tHVdsSpasXogxZk7tKDM/tswPPWPhBmdc\neJDBnH3pIFduFcoCrjwTpHK4WV38lCo8duTh+Tf0RdJwOzD1YrviLFf1dQaob4t15SVYu3mX9aJm\n8/rOwzOLNngbWvkB/st1n5DRB8Z575/8EbjKOFC00VU58zr0Dlu0+3fJKyRAAiRAAm2HAIV327lX\ntLTNEUjA0OyJ3lZnjEVGmtPte+lNOvOJFsnCTVd6e3D3r30M/UZORl5hFnLn5SIrYx1mTx6GHy8p\n0koB98k9+7mur8P2L9RHHLBoMy/W4agr+iJv8vMoMKs7lu8qQMEuZ59p14xxv2Q6N2s0Fq4tca9A\nWeMoR9GGFZgxfhJWlIRoY1w67tH5C833BaMnLUSJ6bOmphKbVz6JQan9cOPsDZbwbl7fGVg6ZRiG\nmwV+Ss2qnY7yAjz2g2Hu6R5z7rjBEwKvS8abCP6F/1NgbClHweYC2NbPMYzr4HANMWNIz/AiVJp5\np1idBEiABEjg1BOg8D7194AWtGMCfa75vnuxGBlmxtgbjK/bmZIuuc7MnWFL2bdigJcntBIrHp9l\nCmRhU8WrmPngTLy6cZMlZJdO+Juft9fWEuJ6XOwWvK++s92eFdJx6K9SJuHCTJ0NZq4RvmYlyb6D\nMKjvX1ApPcX1x+OrJKhGUiEm39gPibFO7318Yioyho3D7KWL8NnX9sVmnKUb+jn4x7PdYytcNBn9\nTJ/x8ckYkjXd9GCSeRCw7G9W31ZLWGcW+OllVu1MTB2EWa4oE2TOwQMj9C6awJHzLnXf40UTBhlb\nUjFoyAR4PUtUbsHLrhltMi7q5fetRkNj5XUSIAESIIH2RYDCu33dT46mtREwc2Dfb1PX99pnLEm4\nBNnuRVlMzPcd13q8qDKOmt2QsPCM3Icx2DlDnlF5gzHRClHZhi+DOYnjLsRI16TT65a9E3BlSAtV\ngPCQwDHI9hgKp8deUQ+f+jJ0LRy9lr14pDWXtpz3HPEE9m1ahuyA769mmvEsww8u0QFqC2Yf0DZz\nPWkwFpflIzdbBb+nTnaOWfDm79luj3LYfZuHncV5xmZP09ZR5tQF2PPGNPfDk3UxZbgR1bk+JYfg\n9HjPpfIt77q95VmZfT0ZPCIBEiABEuhQBKLqTepQI25FgxX0x48fx7Fjx3D48GFUVVVh5MiR2LFj\nh9tKWdRl1KhR6N69O+Li4hAbG+uK9Y1yl+FB6ydQU2MmfY6JQZzZfFOdyasLkFe3fzUG9RiJ3gvy\n8eqkge5qJUvGo9+EQqzal48RrrAVd6btYP/qGegxUl7fNCsqmrKj7WXr6lBjnMxxroVutJrYArMw\nTAAzTbRE4Dpa11FZbrUZE5eApASvuQi1CGoclahwmOlAzOc43pRLMOX8iDTSj7sxc1Bn2iuz2otH\nQlISZC2dhlIofTuKFiIxY7JpIgv5ta9iYEwdKsvLUG1c6PEJqWZcQTqoM2E2JizFALRs8aCtw8qH\nBiFLZrjJyMW+rTO9hXtDBvM6CZAACZBAuyMQ5L9IuxsrB0QCp4yAPDQ1lGJMXqBfxOovt1uhE72P\netfcv32pdeGbagnPCFTTWT7t2iwjH2ebyONCLH+zGKPv7u9pyBL6nlM9ElsaTA3U0fIJZtVKr0gZ\nzbDt4xKSkGa2oKmRfux1Y0Jpz1UhpL7tjVvTBcZYK1E2YrGzllk9M8WscumXagx/a1pJI+fvH0PR\n7QeIF0iABEig4xBgqEnHudccaRsjENv1zIAWp/SUAIgMdI9vWHRbFU1YysM6c0ojMeEBO+LFiBAo\nffNFM1u7pCw8fKvt4ScirbMREiABEiCBtkSAwrst3S3a2qEIxPVKN1LNvCtY4/2q45Gv95mrvYOH\nPbhIDZ08zfXi32ysLgoWFN6h0DY8WPcMJVVhrtXp27QDq+c61ySVWP2hIbnOfdvgOQmQAAmQQHsh\n0IjLrL0Mk+MggTZIIOY0I6/NupfT/we7pg1GHxlCXQmen269cYnzAkQ1+I0yZQTyq6vgqI214qn9\n8nnBi0DCJWNRmH8damPPwCWh8PWqHegkAfe+UYVbTdhKQlJEGgzUCa+RAAmQAAm0EQIU3m3kRtHM\nDkggpg9+ZOasnjt9Lm4Zfw4eu+MCbFowDosMionTx4UcK2y97BgkdLsDkm14yHFp6D/QM1VgwwVD\nzyH/0FmxJAmQAAm0dwIU3u39DnN8bZrA4GlLsfjf2ZgwdzqynIHCmDhvDebdnt6mx0XjSYAESIAE\nSKAjEqDw7oh3nWNuQwTScPcza5E92wGHmcUk3szi4Zmmrg0Ng6aSAAmQAAmQAAkEmYuMcEiABFoN\nAYYrtJpbQUNIgARIgARIIGwCnNUkbHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAA\nCZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIk\nQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoB\nCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAA\nCZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSs\nSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIk\nEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAA\nCZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7\nbHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IACZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIk\nQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRNgMI7bHSsSAIkQAIkQAIkQAIkQAKhE6DwDp0VS5IA\nCZAACZAACZAACZBA2AQovMNGx4okQAIkQAIkQAIkQAIkEDoBCu/QWbEkCZAACZAACZAACZAACYRN\ngMI7bHSsSAIkQAIkQAIkQAIkQAKhE4gJvShLkgAJkAAJkAAJkAAJkEDbIlBfX9+gwVFRUQ3mtUQG\nhXdLUGWbJEACJEACJEACJEACp5SACm7ZV1dXY8mSJTh8+DCys7Nx1llnwS667cctaTRDTVqSLtsm\nARIgARIgARIgARI4ZQREdJ84cQL33XcfHnjgAUyfPh3p6el48sknUVNTY+VJGd1a2lAK75YmzPZJ\ngARIgARIgARIgAROKgEV0sePH0ddXR3efPNNd/8OhwMzZszAgAED8Nprr0HKiDjXOu6CLXBA4d0C\nUNkkCZAACZAACZAACZDAqSUgYlpE9bFjx5CZmelnzM6dO/H9738f3/3ud1FSUmKJ75YW4BTefreB\nF0iABEiABEiABEiABNoqAfVcy16Ed21trRVaMmnSJHTu3NlvWOINv/zyy/HII4/gq6++surY2/Cr\n0IwLzX65UgxjCo+A/abqsW9Let2+9y3DcxIgARIgARIgARIgAQ8B1U3q9ZaXJyXGe+TIkXj66aex\nceNGT2FzJOJ87ty5eOmll/D444/j7rvvRqdOndwvYEbq5csmC28ZiCb7sV7jPnQC+qGw7wPVtueT\neSBCvEYCJEACJEACJEACTgKqm+xhIyrAZTaTJ554Aps3b8Yf//hHfP75517YysrKMHHiRCxatAh/\n+MMfMGTIELcAF/HdXAEeZYzzKGmvrr1PtJjsP/jgA3zyySdWELp3KZ41hYCwlE2C/o8ePWq9XStP\nWwcOHHA3c+edd6J///6Ii4tDbGwsoqOjrbzm3nh3BzwgARIgARIgARIggXZGQPSVim3xZovOkk3i\nveVc87Zs2YJ3333XyvNFIFpr9OjRmD9/PtLS0twCXMqFq8OaJLz1yeHnP/855s2b52sfz0mABEiA\nBEiABEiABEigXRFISEjAL37xC0ydOhVdunSxBLgMMBzxHdLLleqZFeEt3lnZM5EACZAACZAACZAA\nCZBAeycg0w/+8pe/xGWXXYbS0lK3DhZ93NQUkvCWRtUlL+55eUOUiQRIgARIgARIgARIgAQ6AoGM\njAz86U9/wjnnnGNp4nBEt3Bq9OVK9XbLXsS3CO+ePXviuuuuc3esneu+I9yASI1R+crDjGyffvqp\nFeut7ffu3Runn366FdstX2nIG7ZMJEACJEACJEACJEACTSOgmkv0rBzLXuK+9+/fj6+//jpgYxJm\nIiHWssx89+7drcgP0WL2GU8CVmzgYqMx3mqkhJhIQLqsdS/r3Msmx3JNBKMYz9Q0AnrT5WFGli09\ncuQIpk2bhr1797obkpstb9TGx8dbc0/Ky5UiwMOJK3I3ygMSIAESIAESIAES6AAERGtJUs2ljs5v\nvvkGL7/8MlauXGk5lX1RiN6SFyt//OMfQ4H51OAAAB+JSURBVGZCEdEtW7du3aw475iYGLdT1Ldu\nsPNGPd6+lVXwqfiz733L8rxxAnZ+ytZeyzfffm4vx2MSIAESIAESIAESIIGGCaiGevvtt/HXv/4V\nhw4dClhYlpK/77770LdvX0toSyGtG7BCEy6GLLylQ3GryxOArPojHnB5epBzeXrQJ4om9N3hi+rT\nl3i8ha98ayB7exLW4u1Wj7c8YUXq5tv74TEJkAAJkAAJkAAJtCcCqk1FX8lWXFxsLZJTVFQUcJji\n2b7rrrtw9dVXW15tmcpZZjGRTfSY3cvtq9cCNhjgYqPCWxtW0S1zSatAlGMNM9HBBeiDlxogoMJb\nwnWEpTK2FxfBLfFFXbt2dX+1QeFtJ8RjEiABEiABEiABEvAmoLpURffy5cuRm5sbMDRaBPYtt9yC\nMWPGWI5OEdpyTTSY6C/Z5FzEtzicw43vFgsbFd46DBF70pkkORbVL4bR262Emr6XD4XwE4+3CG/h\nKjfTnlR4S0yR3HR6vO10eEwCJEACJEACJEAC3gRUdNt11l/+8peAovuGG26ALFaYkpJiaTHRtqK9\ndBPtJZtcF60mOkyFt+i2pqaQhLc2rKJQzkWEy4B0a2rHLO8M9BfhLR5vSXKsrJWPPF3Jk5YG86tA\n9y2n5bknARIgARIgARIggY5MQIW36CoJjRbNlJyc7LUy+EUXXYTJkyejX79+lpAWvWX3dAcS3M0V\n3XJPQhLeUlCFnohv2XwFtw5SyjKFRkCYyYdCkt3rba8tN1k+DCK4dS/3Qu+HvSyPSYAESIAESIAE\nSIAEPM5NYSEa6+mnn8bMmTOtGeS+973v4aabbrK0lOgs0VgqtHUvIlx0l+SLs1k21V/N0WAhC28x\nXDsUwejbKYW3EGpaUmZ6Q/WrC3sr+qCjZew33l6OxyRAAiRAAiRAAiRAAk4CEtutelU068UXX4zF\nixdbU2GLEJckmsru6daQEnV0qvay6zNf/evsLfSfTRLe2mygTgNd0/LcByYgHwjZVFzL3jcJV3u+\n3nzy9iXFcxIgARIgARIgARJwertFJ6mGkr2IaI0ikL1cU9Et3m3d7HHcds0l5SORwhLekeiYbZAA\nCZAACZAACZAACZBASxAQoSybiGcV3OIFFwEuSb3dIr7Vwy2iW663hODWMVJ4KwnuSYAESIAESIAE\nSIAE2jwB9U6LgFaBLYOSY323To7Vu20X3Cq6pby2I8eRShTekSLJdkiABEiABEiABEiABFoNARHO\nIrAlybF4vjXuW0W57iVfjrWsddACPyi8WwAqmyQBEiABEiABEiABEjh1BNRbrWJa9hJqokmFtuzt\nm+a31J7Cu6XIsl0SIAESIAESIAESIIFTRkDFt3i9dTILNUbFtv1cj1tyT+HdknTZNgmQAAmQAAmQ\nAAmQwCkjoOJbDLAfBzo/GUZSeJ8MyuyDBEiABEiABEiABEjglBHwFd2nyhD/iaNPlSXslwRIgARI\ngARIgARIgATaMQEK73Z8czk0EiABEiABEiABEiCB1kOAwrv13AtaQgIkQAIkQAIkQAIk0I4JUHi3\n45vLoZEACZAACZAACZAACbQeAhTerede0BISIAESIAESIAESIIF2TIDCux3fXA6NBEiABEiABEiA\nBEig9RCg8G4994KWkAAJkAAJkAAJkAAJtGMCFN7t+OZyaCRAAiRAAiRAAiRAAq2HAIV367kXtIQE\nSIAESIAESIAESKAdE6Dwbsc3l0MjARIgARIgARIgARJoPQS4ZHzruRe0hAQ6LIHKopV4cVUJuqSP\nxL2j+6M1/mGq3L8LB6pqkXhWX6QltUYLO+zHp/UMvKYSu/YcQG1sIvr2SQvtcxxOHb8R16Fg5VK8\nVVKF9JHjMbp/kl8JXiABEmgdBOjxbh33gVaQQAcmUI7nsrMwZfp0TF63u5VycODFkX3Rr18/jHwu\nv5XaSLPCJ+BA0dqVeOmlFdiwqzLsZhzbXkRf8xnp1zcb+Y7QmgmnTqCW974+AdOnT0FWxp+wP1AB\nXiMBEmgVBCi8W8VtoBEk0HEJOAr+humFMv4MLJ86KjQv4SnAldjb2WnvuNhT0Du7bFECjm2YcmMW\n7rhjHIY9vAo14XYW28VVMxEhf0rCqeNnXwxGTVvuujoLKwrCf3jwa5oXSIAEIkqAwjuiONkYCZBA\n0wjUYd2LU5xVMu/HjT0ZwtE0fv6la0qWICoqClEDHkJR2ArSv11ead0EYvpcj3mZThunvLgBda3b\nXFpHAh2WAIV3h731HDgJtAICNcVYPtdpR/Z914ORqc2/J7W1R52NFO7Gkdrmt9chWkgYgOfyN2HN\nmvUofvYWxLXJQacg885sp+Vzl6OYD11t8i7S6PZPgO6l9n+POUISaBECdXXynz0OMQH+ijjzYkxe\ngEybNeUfrMJS13nW4F62HJ9D01d5ZQVqjZCMjU1ASkqCTwGgSfbU1VnhBHFqX53DtO8w7cciITkF\nCWEoL0dlJWqqq1FrggwSkpNMG4HH7mtnZfl+VMu44pORkhS845D6sIvtRt2edagsL7P6NxYgIdWM\nPbDZ3nzNC4H7K6qNzeZeJCWYvDrLw+rm6Xt3hLexJa4BJubuocZ8nGJMfgPdu/oP8JmqcaDSUWPG\nYMgbe5KMPYHa8OLuY798jvsMHIw+vnbbz0Psx13FFWviqCyHw9xgZeXOb8JBjWmjQj4k1mer4c/n\nhUNuNGWWWturH/wB/YemNKEXFiUBEjgZBOjxPhmU2QcJtDMCRQvHGAEcb7YozN/sHU+6a8UMV14s\nlpQEf8Psiy3vOclk5OKaPoFEZyVWz38IUaav1NQe6NGjh9knmjCK8Xhps+cVsqbZ48CSsbGIjzX2\nFZVi85IZpv1EV/upSIyPwkMLQ/yqvq4cqxc+huEDopCYnIxUY1+PHtJGLIZPWohdPl5HR9FCJ5sJ\nS7CrZDUmmXrJOq7keAwYP9+vDkLso6bIGWKSOGiy69OWhyHJJuREwk6ihmNtuV2FO7B24QwMiIp1\n92/Zbe7n+BlLUBrE7oINCzHAPCRY9yI5EfNemWfG5OQ5P1BssWMzxki+YTLppZIAvwkOLBzjzI8d\nsxDenyZn8YL5rs/b2KXQT1R50Wo8Nn44ouITzRhS3fbEmrEuXLvLqx87d1/7FxZIi+YzMcbJaszC\nIq+6TenHUzEBZdvWYsZw+Vx4bIsaPgOb99vvg6dGoKNK8xl5yLQR72rD+dmKwpgZLyFQM3HpmcjJ\ncLa0YlU+w00CQeU1EjjVBOqZThmBEydO1NfW1tYfPny4vqysrH7nzp31F154Yb35TLi3RYsW1e/d\nu7f+q6++qq+pqak/fvx4vdRjIoFTSaB65/J68//d9TnNqd9Z67KmYn29CTN1Xs+cV18W1Miq+sVZ\nrrLZy+qr/cpW1C/QfFebmZkZ7t8N+T2Zs97ZQ9PssfWrtgbYZy8utFnkqZM1L999vXBBlpc99t9d\n69hnXFWFC4KXFzuyFtdXuXuorw+1j6r8eUHbXr5TCVfUL87We9fQ3nZPjS3B7F6w5h+ez8LUvHr9\nKOgQ9uRNddu1oNA+Mi1RW78mR+9rRn3ePr8W6nP0/iib6vz6LL3WwH5ZsY63EfstmwLf3/oI9uP5\nbEyst2PwsM2qz7fhqcj3+axkZHo4y5gD/n5VeX5nTH6FIuaeBEig1RCgx9v8NWQiARJoGoG4PmOx\neJ6RPlaajYefLbCOVvxiGNa5ri5/biKCftFdswfv5zkLZ12X7hdXW7r6KUx25Wfm5qGsth5r125F\nReFyaM/TH1hgTZ3WPHsysGBNMapMmMjO9QvM3CrOtHTCkyG+nJiJOcvXY19VNcxfdtRWFGOO6yU3\nLH0F29RF62rXvsvMWYY9JmSjat8mTNWO857BulJfr2jjfSRkTERZWQV2rprj6iIDecVlqCjbh33m\n+hjXNwqlK3MxQaIRJGXlIn9fFYzURVVZIeZlOy8D5p7+1dvzqzmyz5i4APk7i7Fm+XJcabys0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"text/plain": [ "" ] }, "execution_count": 3, "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\n", "## Pay attention because this is related to your Kaggle competition!" ] }, { "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", "
\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",
    "
" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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CRIMZNINDUSCHASNOXRMAGEDISRADTAXPTRATIOBLSTATMEDV
00.0063218.02.3100.5386.57565.24.09001296.015.3396.904.9824.0
10.027310.07.0700.4696.42178.94.96712242.017.8396.909.1421.6
20.027290.07.0700.4697.18561.14.96712242.017.8392.834.0334.7
30.032370.02.1800.4586.99845.86.06223222.018.7394.632.9433.4
40.069050.02.1800.4587.14754.26.06223222.018.7396.905.3336.2
\n", "
" ], "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": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases/'\n", " 'housing/housing.data',\n", " header=None,\n", " 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": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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T0udIud+MEKnfhs6eIcyvykvw2VCqGW1IpLncgKb6MrR3DsDS50CuXg2v/RqU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\nOo1PfvKT6O/vR01NDZ588kn85Cc/wfXXXz/vMR977DE88cQTsNlsvPXV1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97p9V6Jplrd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0N9hQ69di+n754YMxi0ckRiUTz/24/Syvyvx27B019pgtXhRaFODqGAh4piNQp1ctRV6CAS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xJlX3KM7VI8+cgW1rS6O2gZIVsytJJNJJlmvWYsDuQoZGid6BcRw45kJZQabke9s/suPJ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XBL\nNwFuZ04A2NZawwbLbiViyjDZFHtmUkR6XzvXTm4ljkK525koeJQBJmU/+edgdE6+uLkeNrMabx3v\nRSiSwIEPuB0/D524ivrKIs42ZsKdTJEbFKxZVkF8v1KJaNIZMCRulxPUYDfwSubaV1WzWmtC1zUV\nKmd0XcqDQe59/8GZ68R9rg0H0XSzfDiX/CBVz4Afv9jHbdDxdFs9cVxmNP0OnbiKnW3107ITUhZZ\n7pg/2XNOJfvtVtefagYrhQLcv/cS6ZkAALXlRZOeQ+cvRDPzg+98rhn/8toZzmu5c/wRXwT7j3bD\nZtHyunrnPidm2kGbQqFQHlRmNYjW2dl5650o0yY3MJWr0QKMr1Dt3roQfUPZRgP5GmoAoFXJ2A6B\nj0zQ2Q+YWXZJ/qSI6SBUZpRgXpWZ6i5Q7gsmCh4NT9J+hM5RpJXi2kh4wrLosWCM83dNuT67PRQn\n7j96mzK0bpcTpFHJ8NSaOrZkzmpQYZ7dAM3N1XXSdbe3OlBuuvczGChzy0SZXVq1DEdPcYNs+UEq\n0ngZiSV5DYFOdw5zgnIyacG07ITJIltQXYzOPg98wfEmCXMRgJhJFhuFksv9ei/Nxhz62JkBgsSD\nE+EouSFQPJnmBMkYH+Cbzy7F+R4P+wxits+0gzaFQqE8qMzqCPXiiy/ech+RSIQvfelLs3nZB4Zc\nh/H0pWG0t1RjX0651lKnGQpZAeTSAqjkEl4ADcimlgfCcZiKlLCXTjzJnkl2CWlSVGKQo+tKJ6QS\nyy2Pp1DuBSYKHglJ2+fbD+kcO9fWQykOY9SbLf0QLIs2KPHMeid0KhmkNwPjFWYtRnwRtvRsomvP\nFrfTCdKoZGzJ3K2ua9TJkQgNQSqhnaEpU8NRpsO21lpOJ2nGGd22ppYznj7X3ohUJo0PzlxntUJJ\n4+XpzmGsWVYOb2A8qN0834oTF8abD8yrMkzbTuRSCeY7jCgvVuBC9xCqy2pgNWrmLAAx3Sw2CiWf\n+/FemukcesOKKjjK9IhFk2iqN8E9FoW1WI0GuwHXhoPE4xqqivD6769wnlf9rgCG3GFIxCKOxENu\nVjeFQqFQpsasB9FMJhOqqqo4Omi50CDa1MgX9t+wogpL6kwY9UURiyfxt3/5ENy+KAq1ciRTafQO\nBlBWrIZMKsautU6Eogl21WlTi4PNXEmn0kgk0pBPIM8w0+yS/ElROEzTxin3FxPpCaYzafzVpxpu\nmSGSew6XJwSlXIJEKg1/Ko1QLIGn2+qhV0ux6XEHp6RzU4sDr/8+6/A3Oc3QqWXoG/Sj1laIqina\nbiKZQUefZ8oNRPI/B8kJiiWS6BkMwRVSQz4YQq1NNqVzB8NxXOzzwOUOwWLMOhCaPJ2XTN7/KRQh\nYokkugaCGAzrEbrkgdkQRdXNLrnNjWYY9QpcGw6yGRvzq40oEIvw2Q0NSKUzsBpVuDrox9++eJw9\n56519diwwoHn2hsRiSahVsoQiiRgMSjhGQtzHFcmi9xm0WJzSzWGvWGIRKJp2VwuIgDI3Bs2MN2G\nRRTKvcR059CJZAYXekfRPxiASiFFz8AY3rzZQAgAvrxtEXRaOT67oQFKuQQnO1w4edGF9lU1SKf4\nTwCbRQuNUgqdWoZv/eVD8PhjMBfKIZdLcfrSMLVBCoVCmQaz+sR87rnnsH//foyOjmLLli3YsmUL\nDAa6yjFdSJ3/nmtvhFohxY2RECqtWgRDCQQjCQz7wjzNA0ZgdOvqGmxZXYM33+9iV6fWL7fjk8sj\nWFxn4jmkzLV7BvywGlX4zueakU5leF0FKZQHFVLQiQkeBcNxfHxuEF0DY6wj/vB8K17YsRj2Uq79\n5DqTxkIF/OE4Xn/3CtvSnoHRUdr0eDV0ahmMegXefD87qW6eb0UilcboWBQnLgyhd3AMbc2Vgplh\nudc06OSQKdV4+w/XeN05J9NA5CTS8ikAACAASURBVFYIdS+d7LmD4Thef+8yTxPtqTV10KhkxPNv\nb3Wgyn4vhBIoc032funidMtra65EhVmDVU3luO4KIRSJw6CVQ6OSoaWpHEVaOa4O+RFLpHDgaA+e\nbqvHa+9e4Zz3lYOX0OgoBgBEYykEwiHEk2kEwnFIC8SwWbTs2PvOR334zl8/jMv9Pvzk9fFOoJO1\ni/wAVIVZc9vs93Yw02cChXKvMJkM7Vgiia7rPlwbCkKlkECnsuDtj6/hw7M34LQboFJIOEH4ZQ0W\nXHUF8Nu9Z9ltW1fXYMWCEhw/N4hMJoOWpjIkUxkcP3sDALDEaeI0Ivv85kZcuurB64fHfQZqgxQK\nhTI1ZvVp+dWvfhVf+cpXcPToUezduxc//elPsXLlSuzYsQMrVqyYzUs9EOR3/rNZtOi7EcChE1dh\ns2jhDcRYIdHcABrAFRh94/0uTkMBIDuRn19lwMfnBqHXyBCOJWExqOEQ7MpZj8U6M06cH6KrVpQH\nmgKpTNBpBYD9R7vx2ruX2dfamivxxwtDaJ5v5U2e8+2srbkSKxaV4jeHxs8NjNszM5n+y0/NA5Bt\nDnK+x8MLuPXd8KO+0sDLDCMHnWpw4oKLc71XDnZiYU0xGqqMU/+Ccpioe+lkynYu9nk4ATQAnI5i\npPPvOdyDpU4r9Dr1jN475f4je7+QbetcjxvD3giO33Ref51zX21trcGZzhEAgORmUKzJaUY8Oa5z\ndnXIj0g0ibFQnGePLU1lePmd8fP5QwnOMwKYnF2Q7HfHE3X4+NzglM91p5jpM4FCuZeYqEyVFNTf\nsqoGdbZCPGWuw8VeD6+75rJ5Fk5ADADeeL8LL+xYjOJCJSfgtulxB+bZjfjv/99Jzv4j3gj25/kM\n1AYpFAplapCFdmZyQrEYq1evxk9/+lMcOnQIjY2N+P73v4/W1la89NJLcLlctz4JBQBflLTJaWYn\n508ur0RNuR7PrHfCZtXCZtHyjs9tja1Ty3j7+MMJuMeiONftxp53r+Cb/3oM+450o+u6jzDJvYTj\nZ2/gR78+xe4XSyRn66NSKPcMkZSKE0ADshPQvht+nL0yikAkgc0t1ay9HTpxFU1OM1yeELt/LJHE\n2Suj8AZivH1VCnKNda49Ww1qOO0GhGMpYhfOES+5gQA56NRF7D7Ydc2HWCKJWCKJjj4PPjhzHR19\nniltm0hYeTK43CHidqajWO53yjlO4PNTHmzy70empFKjkiKWSMFcqOSMswxvHO7ChscceHJFFaxG\nFZx2A/Yf7cbbx3ux/2g3nHYDzEVKmApVkEjEPJtWK7mOsMfP7a7NkM1444+rjG29/6frCEUSnLH8\ntXcvE+1XyDbuNDN9JlAo9wukoP6bR7rgC8bx+u8vs1qouc8Tf5jcNCgUSUIkEnH2PfBBD5LpFOd5\nYbNoYTWq8eSKKs6+ALVBCoVCmQq3NZXIZDLhueeew3PPPYfDhw/jH/7hH/Diiy/iwoULt/Oy9w35\noqSME72swYJBD798EwAn28xu1bFlJBqlDCsXlyGdyaZ497sCkBSI8crvOjnHv3KwE89vWUB8P7lO\n/L2wasWUvbhGg5AXFCKRpCVelJnjDfC7YtksWvzh/BBPlBzI2mQ8mUY8mYbPH0XP4BjOXh7laJww\n+1qMKhh0cuJ1c5sLiERZ5/zZ9fOI+4YEOncJObAiEV+IX6eWoe+GH2cuj/CyUtVKKX6x7zy77bn2\nRoQiCY5DsGudE4vrTMTrTbbBgcVIziZjOoqpFFIsa7Bg2TwL/OE4dCoZTna4oFFOIPZIeWAxFirY\nf9ssWjYYxrCttRY6NV/eAAAG3SG8fbwXNeV6XpCts88DvVqGPQL2n9tJb1OLAxKBxhfJVAYfnB7A\nowtKWJkFoYxV5twAIJcWYPfWhRwbEArG32lmIrZOodzNTFXrT3ARyBPmPZsYm9cR5FcAwD023kyo\nrbkSFqMKZSYNhtxhrF9ux+lLw3C5s+f9+Zt/5p233xWgNkihUChT4LYG0dLpNI4cOYLXX38dH330\nEZYvX45vf/vbt/OS9xX5oqSME01K584t3wSyA+NbH/bAaTdg5eJSvPVhD+e15vlWBEIxgePJE3xm\n1Z4RSZ+oTTdpMjGXkByPnWsT2LK6hpahUmZEkZbvnDY5zZwAGsC1KbtVi0v9XlwbCiADcCbHzL6f\n/XQDvP4YXvv9Zaxfbsc7H/Wxr69fbmdb1rc1V8I9ls1kEXLGy0wa4nYhB7bEqOLoNm1c6UAqncGw\nN0LMSt3cUs3ZNuyJ8D4TUxI6k+YkdeWFnDJWILsqX1teCACQSUQoNak5z8NNLQ7anZPCIzsmjbG2\n1eQ08+7ZvYev4BvPLCUeX3IzoHvNxe+K1+Q0cwJoANf+i/UKPLmiii39fHJ5Ja+79saVDpzqzAqE\nD4wE8ciCElSV6ojZo/njvVGvuO02MNMGIQwzbVg0FWgDA8pcMVWtv1giiXSavLDrKNWh46qXM98+\ndOIqvr6rCUqFBFtX1+DkRRdbUl5h1uD0pWH2+M4+D5Y4TdzSzhYHasoLBaUiVi4pvS02SKFQKPcr\nt2U2cf36dezduxdvvPEGRCIRtm3bhu9973soKSm5HZe7b8kVJb065MdYMIb2VdWC6dzmIhVnot7v\nCqDfFcDOtnp2sm2zaKFSSFBSrEYGQPuqGmQyGZzuHGYzzVKpNM9xbWuuxNvHe9HvCrArV/mrVmzm\nlyeERCKN/Ue72evuWufE+uby2f6KBCE5Hq/+7hKW1Jnv6uw5yt2PsiCMnWvr2ZJOm0ULU6GSuG88\nmcamFgfiyTSqS/X42Rt/xpMrqtjXc7WVCjVyvPfHawAAjUKKTY9XI5HKai5pVBKsWFSKplgSpzuH\nsbAmq1WWTKaxc209wtEkq8+kUkgQiiRw8OM+VFg1qCkvZCfxjjIdPvfp+XD7o+z+GlW2u9eGxxzo\nG/Kzz4/6SgMngyb/c+VCymQDsplvG1ZUoapEh8HRIEpNGjRUGSftyF4fCeJ05zDnuzjdOYzm+VYU\n6hQIR1M8PcgDR3vQYBfWcqOO9YNJz4Afv9h3HssaLPibbYsQipDv7bFQHM+udyIQHu9szTT2AEDs\nPJ5vDww6tQw719ZjxDeeJQIAMpkEpwj39ZMrqlBm0uDkRRcsBjWuXPPyNJEYNCopNrdUo0grx1sf\n9nJeY2ygo8+DsUAM4gIRwtEEq3s61ft9NpsBTEZsfTagDQzuL+70wuytENL6c5TpEY0lYTaokEqn\n4fZFYSpSQSwGrruCaGuu5GS2bm6pxp73rnAWvS1GFWrKC+ENxJBKZ7CwxgiRCNh7mJvNziyEkRYI\nDhztwXPt5CoTnVqGhTXF1C4oFAplCszqE/PgwYPYs2cPTpw4gUcffRTf+973sHr1ahQUFMzmZR4o\nGFHSYW8Yv/2gB1tW10AqIUvZqRUSzkSdwRfKBt2Y8pXTncMIR5OcgXvT4w5Ul+lRYW6ETi1HJJbA\npserodfI4A/FWWcCyK5c7d62COXm8WyXW5WcvHKwEwsccxe8mkh3hQbRKDMhlYjjyUccWFJnhi8Q\nQ9d1H0Z8ZA0uu1WHtz7sQZPTDI0qW3o4r7IIbx/v5ZWTvX385oTZoOSIkDMwgW1GBL2tuRJymQSj\nvggvU2vIE8YvD2TLLXetq0f7qvEMTH84ztl//XI77FYdvIEo5/nRP+RHna2Q+Llkec+gCgs5802l\nkOKt473TdmT7h/zsYgB3ewCN1cUYFtA+E9pOHesHF2ZMKDNp8OLes7xsSoZhT5i1j/ZV1Vj7SCV+\n94esrqHNokWRTs4LstlL+JqkAOC/OfYW5wXZg+EE8b523bw2E7Rzj0XxSKOVeO5gOIH9R7uxrbWW\n+LrLE8IrBzt5nX53ravH4jozhj2TDyLPdjOARCINfziOsWAMCrkEiUQa8lmuPqUNDO4fhJ7bc7kw\neytIc06bRYsRbwRjwRguX/NyFny2tdbijxeGAABPt9VDLBJBr5FzqkaAbFbZw/MtnAyyLatr8KeL\nXH3p3OxUoaB+oYYsFeEPxeHyhFFfSe2CQqFQJsusNhb4yle+gq6uLmzZsgWLFi1CZ2cnXnrpJbz4\n4ouc/yhTx2zIihn/3/9xBkdOX8emFgfn9Y0rHQgIrKzLJNluYhseq4JEIsaGx6rQ2efh7HPggx4M\nucNwecK4cs2HXx+8hAMfdGN0LMrJKGNw+yK4mCMiTmpGwAiqMwgFGm4HVHeFcjuRSkRw2g3Qa+V4\n7d3LON05zAaNGTa1OOANRLF+uR0DI0FUl+lQYlRjz3tX0NZcSRQwZ0TImdLpXPFfg1aO3VsXYWAk\niN99fBX2Ui2K9QreivP+o93Q5+g6vXLwEnoH/ACyjuWe97hlZ+981IdEKs3LpisQi5BKZ7BrXT1n\n+8619TAbuPsqpBLe529rrkQilSY6ssz7uRWaCbJwAKC4UEH8rkw52le5CDnWk30/lHsXZkxQyiV4\nuq0eVoMKW1bXcPZpa65ky6aBbCdYqaQAS+eZYTUosaTehP/1nxfx8jud2H+0G0vqTXh2vRMnL7qw\nfU0t8Vz59tjWXAm1gGYfUzJ66MRVmAqVOHTiKtIEG8wt7957+AoeW1TKswGNUkZ8xkynSdBsNgMI\nhuN4/b3L+MGvTuAX+8/jB786gdffu4ygQIb9dKENDO4fhJ7b10funt8yf87JLJL9/M0/IxJL8jKm\n9x6+gianGf2uAH5z6BKOfTKAQDjOm2tnpSK6ONvefJ/fDCi3YcC8yiJiszFzkRI7nqjjbGOeU3Ru\nTKFQKFNjVpfely1bBgDo7e1Fby8/IwoQLvuhTEwqnWYnwycvuvD8lgX44taFCITjMBeq4A1mV613\nb12Itz7sZQfiba21MBUq4LQbOJoppEYEEokY+w/1cMrN8jNOGAq1cvzgVyfYv//qUw3E/XJXxEyF\nSkR9U/3k04Oku7JzbT3VfKDMKoyjxtgRU55VW6HHvvfHg887nqhDKg389tj4RLqlibyKHosn0Tzf\nikRq3Haa51tRUqxBJJbAwppirHukEg1VRrx/6hqnJJQpC8sPWDMZmEKOZTyZRiDHid3U4oC5SAmF\nrADFeiVHtFwqEeORxhLUlhex5Vi9g3509nl45WlVpWR7m2xGaDye4pW7tDVXIp7Ifjd6jYyo/aLT\nkIMUtyNDlZaH3v3EEkmkM2ns3roQw94w65TaLFp8oX0BorEkDDoF3ni/i+fExhJJWI0qiCDCgQ/y\nSoc/6MHmlmqcvOjC5pYqlBZr0O8KoMSohjcQZR1drz+Kp9vqUaSVY9AdRiJBvq+ZklEArD1G4kme\nDUZiSVzodrP7FkjE2H+IawNikXCZ6VSbBM3motTFPg/2HeEG/vcd6caC6mIsayBn3U0HupB2/yD0\n3B7xRUDOAZ178uecuSWVk7HDfleAMwaT9hHanhuwA4C3j/dic4uDbS4QT6bhKNUBIsBRrsfXdjWh\nZ8DPSrmsXFJG58YUCoUyRWZ1pv/yyy/P5ukoObh945PrZQ0WqORSdPZ7YdTJ0XHVwxEh37q6BisW\nlSISS0IqEUMplxAzXp7fshBD7hAGRoIoM2kglYixuaUaWtW4A8pk2HBKP1scnOsBgC8YAwkmCLdr\nnRPlJhW6bgbRbrfjmau7MuQOQl6QQIPDSp1byqyS66jllmflin4DwGvvXsYXcvRIhCbMQNbJGxgZ\n4djc+uV2XB8O4N/f7mC37Vxbj3pbIbGLV7FeyQmuKeQSxBJJQcdSJhGjSMsVP68tL0QimUZHn5fn\n7FfcnLQzjncqk53Q56+RWAwzc2SVSim8gSih82DWjr2BGFETra6iiHi+2XasE8kMfnuclofezeSW\nguVrffa7Avi3feewuaUaVqOaF0ADsgtGnrEoXAIlwowz6wskIJWIEYok8LM3zrKvtzVXwmbV4szl\nEbYka3NL9YT3NTCehalTSXH8z0M8G2xpKmPLvgMh7rPkwNEePL9loeAiWP72WwWRhZoBWA0q/PHi\nEFzuECxGNRrsBsHsUQaXm9yRcMgzu1lFc9nAgHJ7EXpu3+6F2al0eM/X+ssd34XssKHKgPNdo+xz\np9KqRfuqGuzL6dxdYSZLJVSVjN/HJA20050jWNZgwRvvc3XTOvs86HcFsL21BjUVRVixsPS2aBLe\nDuiCFYVCuZugT597BGYSYbNoUWpS48e/OQ0gOxnPD2i98X4X6yzs3roIgTC5zLPfFcD5rlEsrsvL\n5Hjcgb/9zEO4PhKETiVD940xfKF9AYa9EZiLlEilMzxnIyv+7eCs1G9trYFaIcX/+exDWDbfglQi\nO6mYK8eT0ZOzmRXo6OiAVEIbW1BmF5KjxnTOyket4N7bQgHqWCLFC3q/81EfT8Pp1d9dwnf++mFi\ngLyqTJent9aLXeucWNdcyQskbFzpQLFewe7H4A3EkcmAeP7FdSakMx52Mltm1GDpPDMnw6R9VbaL\n5kwcWYNWhjKThpNFmxVTzzrq4Qi5DE2oIcJsO9bXRsI4dmYAm1uq2UzAY2cGqO7SXURuKdhEWR2Z\ndAabWhycoOzGlQ58cGYAy+ZZUF2mJx4rk4ix44k6+AIxJHMyxhkOnbiKeVUGztg4MBJEiZHbVXbj\nSgcGRrKdP9cvt0NaIMaOv6hDME+/lDnn81sWAsjaA3MckNOsJJGCUi7B9tZaTufQ3JJVZt9wNImO\nPo+gU8oECBodRei/4UFlqRFlJi3ePNrFs/mn1tRNGEgTCqxbZjlDTC6VYMOKKjhK9XB5w7AYVGiw\nG6jTfQ8i9NzOXZidbabT4Z2ZczrtBlzoHWW3n+4c5nXcbmuuxNUbfjzeVAqFTIpivRL+UAwapYST\n0e0NRLF1dQ0nGLZxpQN/vDjE7mfU8+ULmpxmzjEAVzdtz+Eu/Pfdy++ZcYrqmVIolLsN+uS5R3CU\n6bDjiTrEEimOAzxRV7Bda53wBqIwF5E7B9osWtitWs5E3mbRQiQSYWAkhGA4gQ9OD2CJ04S+IT9+\n93F2Iv/1XU28c/W7AnhyeSW+0L4A14aDkEnEOHnBBafdwHb9Cd8Mol0bCVPBX8p9AanT3Fgwxpu8\nAkA6A07QrN8VQPN8K55uq8dYKI6qEh3+eHEIOpWcWKJJsvWBUXJWRzKZIWghZTuFDYwEeRkwNosW\no2PcTBujXgF/iJxh6vNHcbnfm31/13yoKdcTS7QeaSzhOd81tqJJT3p9wWxTk9wg1enOYcy/2aSk\nXGCVvrRYTdw+250B/cE4MRPQFyB/b5S5J7cUbKLMrGgyBVOhipVJ0KnkONkxhJMXXTAVqWDUyXlB\n7y2ramAv0eLY2RtYvbQC53vcxPO7xyIcm84fd4FsqffzWxZms8ILxIglktBrZAgJBIpTqWx56skO\nV7ajJ1y8ZiUAsH1NLf6vzz+CQDgOU5EK3QM+HDpxlbjvRE6pXCqBo0SDmO8aqkpsON/nm1ZZpl4r\nx8aVDk5p+8aVDhRqJ85gmyqxRHJGTU0odw9Cz21mYfZ2MNMO7zXlhdi1rh6vHLyEflcALU1lPLmD\nflcAm1uqYdBmA2jxZBpFOgVEEMEfjiMSTyKdLsAnl0fwzDonNCoZEskUJBIxPrk8wi7WkZqkTKYM\ndC51imcKbRRCoVDuNu6JmcSNGzfw93//9zh58iSkUilWrlyJb3/729BoNPj444/x4x//GD09PSgt\nLcVzzz2HT3/603f6Lc86cqkEm1uq8d6frnG2CzkF/tB4B77trbVoX1XNmfC2NVfi7eO9aKwpZreR\nJtVtzZU40zmCbWtqoZRJcLpzGO6xKFHPZSyU4HQQArKBgjXLKjjbRgU76tHOmZR7j9zVZwDovOoh\n2od7LILOPg+e37IALk8EFRYNxCIRPP4oCtUySMQinLzowqKbk8J8OzTq+J21FFJy52O1kvxo9wdi\nKNIqePqI/nAcGiVX/NztiwiW0cjlBZz397mN84n7XXMF0FBl5DjfU3FgQ+EE8bsIhrOBBYlEzFvh\nZ7J4hMj/vWZCgURMzBIS6qhImXty72GhjBCNUgK1Qor+oQCvLArIjrNufwydfR483VYPiUSMQCiO\nP3W48OaRLrQ1VyKZTAmWXpkLlZz7OFd3NJdgJBsUOHFhCBsec+AX+87ju59rJu4biiTw6qFLaGuu\nRLkpe11SWdee967g4QYrmpwWAEB1uR615UUY8UXwTy//ibPvVJzS6ZZlutxhxJIpfHVnEzxjURj1\nCpzvdWPIHUadbfbGf+p031+Qntvh2xhEm6p+JqnUsH1VDRbXZrt4u/0RYtfteDKNroExlBarMeIL\nC3bwHPZG8Ouc+zlX15hUCWK3ktXicn2G/GZCdzO3Q8+UQqFQZsI9EUR7/vnnsWDBAhw9ehRjY2P4\n0pe+hH/8x3/ECy+8gN27d+O73/0uPvWpT+HUqVP44he/CIfDgfnzyU7dvYxGJUNNBbekhFQSxpRr\nMCvfEokY1VY9PvvpBhRq5Bj1RXD09AD6XQGsWFTKHkeagB86cRW7ty5CKJINyrU1V0KvkeO9k9fw\nwo7FuObKlqW89WEPJyCXy2jealexQGYcFfyl3A+UmzSY7zDAYlBBrZQiFIkjGkuxNheKJBCKJPCT\n1z5hj2lrrkSRLpuhEYok0Nnn4WVfOe3c1ea25kqc7HDxggLtLdXw+qMgoVJKiUGfrz7dhFg8ydFE\nUykkmFdlwM619Xj1d+PB8e1rank6ZFKJQDBPIc06F4MhuEJqyAdDqLXJJh1Ik8kKiN/Fotrss2bY\nE8aFbjdvhb/BXoR5k7rCzAgJ6NoJlZNS5h4mi/u1dy+zMgR/s20RovEUjHoFIvEkrrmCGPKEYC5S\nor2lGvvygranO4fZTnpNsSRHxB/I2lB9ZRFOXxrmLVitX26HNxjj3MdCDm4wnGDHWSaglkpleDa4\n4bEqfHj2BnvtpU4zvvVMIzwhcuMmlyfEOppMMGL4zHXivpN1Si1GcranVaBck8FsUCFzBfjxq6fZ\nbW3NlYJlntOFOt2UmTAV/cyJSg2rynTYd6QboQh5TKgp10MEQCwW4ZcHsuMqW2YdS2LDY1UIhOO8\nAFxuaWa/K4BtrbWccTASSxIXDJhS7u2tDpSb7p05N20UQqFQ7jbu+iBaIBDAggUL8LWvfQ0KhQIK\nhQLt7e14+eWX8Z//+Z+oqqpCe3s7AODRRx9Fa2sr9uzZc18G0QBuijgwXhL2N9sWYWA0BItBxeoa\nOe2Gm863gZMhxqxg2SxaJJNpNggnlP4djMQhEgPPrnfC7Y9BKhGjpakMXn8M5iIlNEoJVi4pFSw7\nKc5b7aowqajgL+W+JBjOBptfe/cyu237mlr0DflZBz6Z4pdaZrOXmmE1quAeixGzr0LhBDY9Xg2N\nUgqDTs6uOtutOs7kWVIgxrAvwluZbl9VjWiMbKO9g36UGNXss6OtuRJmgxJlJg0uX/Nyzq9SSGAx\nqjjlpslUGttba5FIpdlt0gIxigsVM9IxSSbTxO8iefNZZSpScRo6MMzVCnv+s429vsDEngoj3xnq\nKgvx7Pp5bFCbKSXMF97e3lqLqjId/mbbIvjDcagU2f0NuhJ89OdBAMIdxj3+KBZWF8MfinPsRaOU\nQAwR5z62WbS8ksZcB5dZvAKAIp0cI2NSzjnzMy29gSjKtGFkdEZOIJyxC5WC3612pk5pXXkhdm9b\niL7BAHu9pfPMmHeLAFVKQDcuP2N9plCnmzITptLhXSjr0VGmh1opwSsHO2GzaLHhsSq89eG47ujm\nlmoMjoSw5/AVtK+qAUCuCNn0uAM2i5Y3zsWTadgsWnx6pQPxZAoNVQb0DfoRiSXx3slrN4+tRoVF\ngwqLFgViERbVFsOokyMRGoJUQn6W3Y3QRiEUCuVu466fvWu1Wvzd3/0dZ9vg4CAsFgsuXLjAC5Y1\nNDTgnXfemcu3OKfIpRIsrjMjGE6yE+oTF4ZYbYUhd4j99/6j3TwRcWB8BQsA9hy+AptFi02PV6NE\nQEfIH4ojHE3CYlDi7eO9ePt4L9pXVcOoV6JALMLoWASNjmKk0mlkMhmO497WXIkCMXeglkpERH0L\nAOjo81AHk3JPEksk8fG5QU4ADciWU72wYzFOXsxqFuk1cqKjG44mMOgOw2pQEZ3Mr+1swq/+8wIA\n4BvPLGXtPFc0nOHLTy3GH84P5mifZfWdGh1G4nvPZDJIpdP43Mb5KNYrYTYoUVmiQ8+AH7/Yd563\n/xfaF+Df9p1j//7shgak0hnOs2bL6hqIxKIZlVTJZAXE76Kp3gSAPLGeyxV2sVhEzAQWE3wTKow8\n95C+c2YRiSS8vefwFexsq4c3GONmd67Kjpc2ixY15Xqi/ZaZNNCrZfj2zz/ivY9vPvsQa7sA2GO+\n+exSjPqi8PijnHMBWR217WtqkUyniTaY2wG4SKvAn6+FsOfwSd7ndNoNSKX4XQUdZTo8196IYU+E\nDXybDcpJOaWJZAYHT/Sxi3lAdrFg42OOW3bnzO00nkt+xvpMoU43ZSZMpcO7y0MubT7VOQxzzkKL\nUibJloMXiGEqUmLEG8bL72QDbIx2Maki5MAHPbyO3wAwr7IISlkBfrqX2w2Y6cAJZJ8133hmKRqq\nsmN/faUB4XAYHR23rxT2djDbeqYUCoUyU+65p8+5c+fwyiuv4Gc/+xl++ctfwmrlas/o9Xp4vd47\n9O7mhmFPGAc+4Ou2xJNpnO8aRVtzJZtVNhlxUSaTw2bRCpaG9rsCbDcwADjVMYylTjOn7GVbaw1u\njIZ4pVV1tkLYS8cnrolkBleHx7MxmEktdTAp9zI9A350DYwRX5NJxPjnF1biD+eH8PM3uXpkQNYG\nlQopXjnYib/8FLkQcXRs3Pn0h2IcO88nHE0Qtc+S6Qy2r6nFnvfGA2/rl9uz4v2rqvFvr2UDY7vW\nOVFZohMsibo2HOT87Q3EeBP/N9/vQm15IfH4yZZUecbIDrf75na2A1+ZHi53NhNXKRqbcIV9NrPB\nrg0H0dnnIT7znHZuwJJqHzUcvAAAIABJREFUNM09pO+cWUQSsh2JRMzreL3vSDf+9jMPoeu6Dz/6\n9Sl2e26gKh5P4YqH3CrQPUYOECUSaUgEdE1tVh2kEpFg0Il5/+uX25HJZLDnMLfEmslme+vDHjQ3\nWhFLJHn3eSiSyGssUE+8Vj5XXSFOAA3ILhY8NM+CQh2/U2AuxkLy60JZndOF92wwqml3TsqUmEyH\n91giiUQiTWwGVKiWwRfMNplpcpo5C165uohNTjPe+ahvwjFdp+YGp9tbqiGTFkzYgZPhfsm+nE09\nUwqFQpkp99Rs4tSpU9i9eze+/vWv49FHH8Uvf/lLZDL8FdapEovFEA5PLIY720QiEc7/p4KBIDAO\nZB11ZuDc8Rd1ePt4r2DjAbtVh3Ted8cc+5X/tgSXr/mImTIMTXkBNADYe7iLmPl2fTiIN9/vwpom\nEwqkMvzXx1fxm0Pjk4mda+uxqKaY4+zYLFqEIgkc/tM1VJg1qDCppp16PpPveqbcqWtHIhGoVPfH\nxGmyzIUdT/R7ukaDgvZWrFcgkUxhb17WGDPhfWxxKZKJFABAryHbt7lIxWbAGHRKvPPRVWx4jCxQ\nXqxX4vcn+nlaYs3zLdAo+aVhzfOtUEgL2PMfOzOABQ7DhM+aXIQm/oEIebXbqJNP6rcy6MkOt1Gv\nQDgcRiKZwdGzQxjxZrNphr0RFGklsJgFghbJDN7++BpezSlv39lWjycfrZjS84X5/VVyCbGcVKWQ\n8D6fa5QbeGQYcgdhMwsHHqgtTx+h73wiXTKm9DHfKc5ksmNcLrmBqqVOM1wCQWdDXmCJKdn6n/9x\nht2WG1Bva65EKp2GUaWA0AzHZtFic0s1pAViRGMp4j59Q3447Qb8+1sX8diiUs593jPID4S9cvAS\nFjiMqCohZ6Uz9/3ACPl7vTYUgN0ycTBMlNelGMj+Lcpk2N98NsZN0rNhyB1CyyIrx9bnaoymdjz7\nzOVvJ3SdnsEQPj4/iMV1Js7cd3NLNYp0crgHotjWWotwnpRC7hgaT6bZMURoTE8m09j0eDV0GhlS\nyTQ+PHsDWjU56zN3PN65th4lBu54O5fz0rvhN5rt61A7vr1M57eMRsmLTXcb0WhU8Lu8k/7inbju\nnbz2bNnxPRNEO3z4ML75zW/iu9/9LjZu3AgAKCoqgs/HXfn1+XwwGsklS0IMDg5icHBw1t7rVOjr\n65vyMQVSGba3Ojgrz7l6KovrTDhy+jq7jTRhfevDHvbfua857QaMhWKsNhLnugUi1im3GtVEjQZz\nkRJPt9VjLBRnHXSm3NRulgIZFX5ziFua8urvLqGsePxmJmlCbG91YGEFZtTSfDrf9WxxJ649VTu4\n15lLOyb9nvKCQqK9bW+tQSI0hMEAOSBVYlRBIckgk8k6wuFokqgv5gtEWbuUFoixcnEp3vqwl3e9\n9cvtQAZELbFIPIX/9dZF3nvY2VaPEV+Eo4nmGvXDoAzznjXbWmvwxwsuzvFCwcMiFXjHb291IBEa\nmlQ5iVRRygvMb26phlQiRkdHBzKyYvj8Mc4xwXAa/UNBiGJ9vPMlJAZOAA0AXj10CVVWOaRJzy3f\nTz5qaZr4fFVKUujo6ODsKy8gZ+XJCxK8ffOhtjw9hL5zu1WH7hs+bF1dw8nkWL/cDrm0gDgGbVld\nQxzzBt0hNDlNSKcSHI3R3OMKxCKOTdutWk6WKJANyD2/ZSGG3CGc7hyG3aqFWRNHMsa3Qaa7NvNe\nvvWZpYKf860Pe9DvCvDuc1dITcyeuXrDjaivf8LvVa3ka6wBgEpRcMt72RVSE7M3q0sUCHu5ZXEz\nGTczsmJcHQzwbPNKkQSi2Chv/7kYo6kd3x7man5Fuo4rpEaZScNbPN5/tBtfaF8Ap82AfUe60L66\nhvN6dlHLirbmSnb87HcFBMf0D8/eYO2dyTTzh8hj6EJHISpN9SjSSqEUh9F1hd8VVOjz3C7u5G80\n21A7nhum8lv29vJ91ruR3t7eWwZv7pSvSn3kqXNPBNFOnz6Nb33rW/jXf/1XPProo+z2xsZG7Nu3\nj7PvuXPnsGjRoimdv6SkBIWF5Mn27SISiaCvrw92ux1K5dTLGKrsGTQ5LRj1ZVvEF4hFWFBtgFIu\nxe9OXEWZSQORSIQNj1WhoECMxXUmuMcikEsL8NaH45Pv1cvK2aCXzaLF28d70dnn4XX12bKqBsFQ\ngueUA+A4FSKRiNPEYP1y+/hnThQgGiGvFgz7oqyDQtKE2HO4B0t3L0edwAr5RMz0u54Jd+rad2JF\n4U4zF3Y80e8ZiaexqUWCUV8Eu7cuxKA7jAqzBk31RihlYoS6yKVeKoUU/+PV07BZtGhfVYNQJIGC\nAhESOcklBQUiBHO6ezHaTUvqzVApJOz16ioK8ZtDlzDfYSRqidlLyNk3vlAcNYV6zr7N8x9GXVUJ\n51ljKszqIPpDCY7dSwvE2PFELV57l5thOq/KjHlVZiyuNeG6y4dySyEqrdpJZ319fH4UClkBx+FW\nyAoQCCfw6Px5+HP3GMZCXp6jnMwUYuE8flns0bMu3jYA8IWBxxdNvp8ncx/YSjTwhrMd1rLaczJI\nCsSotRVDKjFxjkkkM9i5NsHpsrhzbT0aHFZimVDutR40ZsuWSd85s4jU7wpgWYMFX93ZhGFvGCVG\nNWLxFD46dwMbHqviBbnefL+LqEtUbyuEs1KProEA9hz+hNUYZe5Xu1WHq0MBjk0HwuROff2uABvI\nVsglCCVlaKzJ2mCdrRjXhrOOM08/zR8jOt7M52TIvc+VQ2E47VHemF5VVoxKq434/pj7PpXKEIPH\nyXQG8wh2l4t8MIR+1yXe91hZakRViY1znZmMm3+65CE+AxfXFWNpznucqzGa2vHsM5e/ndB15IMh\nXB0lBxiuDQfZeW2BCNjU4mA7W/e7Ali+sAQLaoxIpTJoX1WDfUe6WLv4QvsCDHsjyGQyvEYiTKbZ\n6U5+N+AdT9Si0WGEVFI8rc8z29wNv9FsX+dBY6595On8ltnsruHb+8ZmgaqqKsEx8k76i9RHnh53\nfRAtlUrhO9/5DlvCmcvGjRvx4osvYu/evdi4cSM+/vhjHDt2DK+//vqUriGXy+9Yeq5SqZz2tfU6\nbkCpAcAfzg2iSKvgTIw3rnTgk8sjrO7Z+uV2dnCuMGnZoBvADYhterwaKoUEpcVqeAMxePxRzkp8\nvvbCphYHT0vmnY/6sLOtHq8eugSLQQ2/n1x2MhaMY/OqavzktU8ES8Pc/hjmV5uIr02GmXzXM+VO\nXvtBYS7tOP/3jCWS+P1xrqbfjifq8OiCElZoOxIZITqewZslj/2uAJ5cXgmjXoWTHS7efvlNAXyh\nON4+3svJJoknUrAYVQgIrFBrlFJi9kmFWYORPGHvSCzJfsbcZ00skYR9YIwTKCjSy7G6qQIPzbMS\nRX9rJCIkAgOoKbdN6TdSyAvwH7+/zNv+t595CCqVCtG4m+goL6g2Eq+jUcqIn1+jlE3r3pHLFHD7\nRzhlcbvW1UOhlBO1l7asrsGSOjMVRr4Fs2nLzHd+5boPw54wG4CyWbQo0irw41dPs/vueKIOT62p\nxZXrZG1DdV6Xy2zjHDGMhRqc6xnXYs1t4Dk6FkGJUYXzPeNBHaaxTz5MRkpbcyVGfBFE40k8PD8b\nYNVrI4jElDhy6jqanGY01hSz969WJeNld5kKlZBLCzj75d7nGVFYsEvmrb57o15BzCZjjp1Id7DW\nJiMK/tfYini2MJNxMxwlO1ThaJJ4TjpGzz5zNSbP1W9Huk6tTYbBUXJ5VtaeM9jcUg2PP4Yqqw5f\n2roQnkAMRVo5ItEkuq+PsVUkmx6vhl4jgz8Uxzsf9XHm47lz7dzMtW2ttawd1lYU4pH51ls295jo\n89wu7uRvRJkZd8pHnspvqVBMrMV5t6BQKG75me7UPUx95Klz18/ez5w5g56eHvzwhz/ED37wA4hE\nImQyGYhEIhw8eBA///nP8cMf/hDf//73UVZWhh/96Eeora2902/7jiEuEKGzz8PTQmpymlntnn/b\nd44tkYon0ygxqtlBnHHymcG6yWnC/8hxMvKzz4x6BaujpLypD5SPSCTCc+2NKDep0BsawrbWGo62\nDFN2WlOux4++vJJTVpbL/SKOSrn/yBUwZ4I0gUgCF/s8WFRbDLlUAp1WTnQ8a3LE98dCCUgkMaJz\nW2/jrgTKJGJe2dnbyAazTUXkFR2DXs5rCLKpxYG+IT+UMu5wYDGQsz7lUgnamivRO+DnBYNmW/R3\nVEBUnWksEImTg/KReJK43WxQYuXiUoSi46+vXFwKs2F6K2DXRsJEXanFtWbi90CFkece5jvPAPhF\nTkfZJqc521AjZ6z8+NwgLEYVhj1kpziTyfDs9y8ezmZPWQxqwTJQo17BsWlS2femFgeUcgk2t1Sz\nY7a9ZLwhz9XBIFLpNE97aeNKB5KpNE+b768+1cB57/n3+Uy6ZFZa1Fi5pJQXPK4u19+yC+1cddmr\nsGrI2y3kbFwKZTrIpRI8uqAEg+4Qp2FPW3MlBkaCECFr7ysWlWLEF4VWJUE0lsTPDnGzYzv7PDjw\nQTeeXFFFnP8yi8u50i2bW6px7OwATl7MZlh/9eklkErJ0goUCoVCmV3u+iDaQw89NKHGRklJCfbv\n3z+H7+juJplKE7WQlHLuT80MyDKJGPuPdnN0hzY9Xo0irRxmgxL/9PIpznH52WcqhZQd8IVW1zOZ\nDKrLCiGViJBKxLFsXiUSyQzHEel3BWAxqOG0G1CVSE6rNf1sdt2bzXNR7n+YLpa8oNbxXtaBbLAb\nsHSemVN6sXGlAyc7hti/x0JxqBTk+yycIx6+ZVUNNEoJsfT5wNEeOEr12LKqBm8e6eIcE46keA1B\nDhztwQtPLc7r0jexvc1VMEiok5/xZsMBm4CjXG4iBwBTyTTiCW6mazyRRlIg+/VWjHrJAYfJdh+l\nzB2OMh1nXFHKJcSxcsQbIQa51i+3I5FMczpjb2utZe3EUabD5pZq/OT1TzjXffP9Ljy3qZGzjRk/\n/4+nlyAYTkCtlMI9FoHbH4NMkm30IZOKIc9xiNVKKYLhOH57jNuF87fHevCNZx9ig2/MuTVKKdsZ\nEODf5yaBRanJLFZJJSKsa7bDZtGxgTCm82VHn2dSXWgzef+fbWrKC7FzbT2vfLq6XD/BUZQHhZnM\n8UjHbllVA6tRhe4BPzuv3dRSjQNHu+G0G1iZE1Lzrdx5tZC+qM2ixc62eqiUUlRYtJDelDZgmnxs\nanHg2NkbKCnWzNrYQ+fBlLkmHo/j1KlT6O3tRTgcnnSG2cWLfK1fCuV2Q5+G9xmSAjExi2X31nGd\nOJtFC7tVi11rnUhnMrBZtGxQjVnN/t82NvJKwpgMG41Kis0t2VLPYDjOOhsTOR5jwRhws2tXWbES\nGpVUMEhGWqkuN2smHMwnWv2eKrdaSadQ8mEcUlJQK9eBfGpNHRodxXB5w7AUqeAPxfDbYz2sbZkK\nldBrZEQBc71axmZ9lpnUeLjBiuPnbhDfj3ssimvDAXxx60IEwnHoVHKc7BhCSTFZTNwXjOHTK6sQ\niSUxz268a8oMi7Qyjo4MkHUWCrXZcpVKi46X2bp1dQ1Ki8mBAF8wjmA0wSk7X7/cDp9A+eutKBbI\n+KNZs3cfuePKjdEgpJICjn4nMD5WMrb3zDonNCoZUqk0gpEEuq77OJlojzRaWTuRSyWCWSAaFV+I\nv98VADJANJ6Exx/lNDjY1lqDUX8UiuEglt6UTzEVKeHyhIj22z/ox/6j3WymeHOjFaNjEc6zKP8+\nzw8qApNbrAKy+o8HjvVwFgTaV1XjqTV17IJCPkxgeS7HV42K24mY9DtQHjxmcg9OdGxLUzlslmyG\n9oqFpfAEotjwWBX6hgJskFtIroTZLi0Q8zSJmUYiQLZhUH7jEmdlEY6eHkCT0zxrCzh0Hky5E5w9\nexZf/rs90BptmIrGmavnJCyOZbfvjVEoBOiT8D4jHCULFg+6s12vbBYtljhNHNHktuZKGHVy2Cxa\ntDSVQa2UIZFMQaUY11Uglalsa63Bh59knXhmomrUyfHCU4vRNTAGmUQMq0GJIU8E7rEoegZDKJDK\nIJWIsGFFFRyl+mwwwTC+is2Qm+mSP5jbLNpshz6pGBaDGo4yHaecjoEJXtjMU6uVn+hcNLuEQoJx\nSL2BGPF1ZmKrUcnw8Hwruz2WSKLCosX5Hjd8gRgGRkMY8UXw+JJSfHBmvBtXboMOIJuVolRK4Cgj\ni70mk2kUaRV4KcfOd61zorJEQ8y+yWQyGBgJYUG18a66x72BOOTSAnzjmaVwj0VQXKhC3+AYfIFs\nMOD6SBCSAjHHUZZKxBj2RGEs5GepJZJpom7jfMf0uvSUGJU8Yef2VdUoN5Mz5Ch3FmZcKTHIcfj0\nAHEfZqy0GFWAKIMhd4gNWNmtOrbb9K51TthLuQEnoRJojUrKc4zXL7dDLBYhmcpwAmgAsPdwtolB\nafH4+cpNGox4wkT7ld0M3jFBwHAsgcMnr3HOmX+fz6SssmsgwLnnAWDfkW4sqC6+ZYbbXI2vPQN+\nHPzoKpqcZnbbwY+uora86K56xlHmnpncg7c6NnfeevLdIbye02xnU4sDpkKyfdRVFKLhmSZEo0kU\nJuR4uq0eWpUUwzczY/tdAWIW25vvd+GFHYsBZLNrFXIJPjhzfcaZY3QeTLlTaI02FFqnJssUcF+7\n9U4UyixDg2j3GUKT+AXVRpSZ1CgoEONf/uMM57VDJ67is59uQPN8K1yeCA6d4AarTncO81bT+l0B\ndqK//2g3J2vmyRVVON81ihWLxrWHGJHU7a0OVNjS+P3J3kmvcOXrTTntBk7JzK51Ttit5NXzYW94\nykG0W62kUyj5MA7p2SujU9Lzk0slyAC4MRLiNRLY1lqLzn4vZBIx1AoJ9h6+wtpZ+6pqFBcqidkk\nG1c68OHZ8eC2RimFzarF0nlmdF33ETUTi/Wl0KllaKi6u1q3j/gi+MO5IcQTacSTaXj8MVZIHcjq\nOpEaD+RqSeXCNHHIJxSeXibaoDuCUx3DnCDeqY5hLF9QSp8VdzHXRsLw+Mm/ublICZtFi+ULStHR\n5+HZ5WeenAe9Rk4MOJHscXurA45SLYY8Yc59YtQpYNDLMOQmjzf59nhtOIiRsYig/TLE4kn4AjG0\nNJUjEOZ28sy/z6dblj0s8J6H3CGsthsmDCyPeMPEbLrZHl/HAjFiwNEnsNBBeXCYyRxvssf2DPg5\nATQgK53wN9sWYcNjVXjrw/F5QntLNdxjEXRe9aKp3ozRsSgymQzUSinC0SRrv/lZbIwd+YNxtK+u\nwVgwhh/86gT7+kwyx+g8mEKhUCaGBtHuM0iT+G2ttdCqZZhnN+DgH/qIx0nFYiRSaY7D0O8KwGJU\n4eH5Fl7mGvO6LqfEjJmsG3VyjgZE7jF7DvfAaS+e0gpX7mAuVC73nc81Ez9XcaESPYMhuEJqyAdD\nqLXJbjmhmIlWDOXBRS6VYFFtMXatq+cJbk9UIjXijRBLsBsdBpQXqyGXS3AgL1C970g3aiuKkM4A\ndqsO3/nrZkRiCUgKxAiE4yg3a+C/WcYZiSUgEmXfXyCYIGeiAZh3M1PubqK0WE18v0yGji9IFkfP\n1YLKRaeWT2n7rRj1RniC7gB1NO52RgV0z7asqsHpS9lFo1giRbTLxXXCmRj52V1GnRyJ0BCUMjHa\nmivRdyNb6uUPxVGoUSAQSQmWBOfb44g3jGgsJWi/QNapHgvFeK8DzHg9vfs8H7ORPBbqNDJcdfkn\nDCybDSriZ7AYZnd8FReIiL/fI41WgSMoDwozmeNN9lihIFTPoB/1tkKOfUgKxOi86kWRVoF/y2l+\nsqnFAW8gyu5rt443xSBVh7Q1V8J2s3FGk9MMbyCGs1dG2eZGU4HOgykUCmViaBDtPoOZxC+oLkZn\nnwe+YAx/vDCEvYevYNc6J+bZi4jHFekUEBeIeQGxMpOGozcEcEVQ/aE4m3nT1lyJx5eUokinwMvv\ndAoe4/JGiJpPQo5n7mAupCcRiSYI+i716B7w4Rf7zudsu/XK3Ey0YigUtZKrw6NWTqzDE4qQS7DD\n0TiqyvQ4dnaQ2PXW64/in17+E/v3rnX1sFv16Lnh55WNMWVcQo7l13c1odZGLg29kySTGeL7XVqf\nLdHSqslBP61AMDCZSvMCJ23NlUimp9dYgGqi3ZsUFylZm8q11UV1xXjzSBdMRSoYdeQMZq8/ilgi\nKTiG5GZ3hcNhdHSMZ3+duTzMCbC3r6qGUafgZabs+Is6nj2ailQIRRJEHbev7mzC5pZqlJs0eHHv\nWd7rm1uq4bQbpn2f51NVosHmFgf252kVnut2o6ascMLAciqdJtr0mmUVs/LeGISkLYS2Ux4cJjvH\nY4T1XaNByAsKkUhmUGHWcCRLTncOY+WSMt6xQkEomUSMS/0+Xsb67q0LOYvVQDZzjdlus2hh1MnZ\nhkGkBeVDJ65iZ1s9RseixOZGUwmk0XkwhUKhTAwNot2HyKUSiMUi/L//xe1W8srBTvzTl1Zge6sD\new6PT363t9bi8jUvp/yCWb2eSAQ1t9U2MD6Ad10fEzwGAIY948Gy3Im2kOOZO5gLdS6yGNR4ZEEJ\nR98FIuAbPznG+w5upekwE60YyoNNz4CfE7RlmEiHp0Kgw6RWJYNYJEJ1GbmbXH7w7ZWDl/DlpxYT\nNb9WNZUDEHYgvYEYEok05HeZ7rY3QM4089zcbi5SEYNiJj05AGIqVKKzz8MJnJzuHMbqpeXTen8V\nJhV1NO5BKkwqdhxkxqBd65yoqyjCrnVOhCIJJFPksU8hl0wruyMrS8ANgO070o3PfroBerWMc0/K\nJWKePTrKdLjS7yWee2A4iP1Hu7FrnZP4uk4tm9F9ns+QO4LTnSM8O3psUangogEzvrt9ZJse9ZE7\n3U4XIWkLoe2UB4fJzPFIwvqf35wdQ3PteMcTddiwoopY2v3UE7Wckk5mzpyr08fgF5AUcI9F8cw6\nJwLhOF5+pxM2ixabHq9GoYacVSqR8JuLTUfLjM6DKRQKZWLo0/A+RSiV3OUNY2EF0LT7UQyMhHF9\nOAiJRIw9h7jaDczqdbmJ7OA7K4uw970rvNVmXyguGOiSScTsJIIRSc11YIQcz9zB3BeIQS4twGvv\njusg7XiiDr5ADD0DfjjKdOxE4YMz14nnm0yp1XS1YigPNtPREakpL+SVgK5fbsdr73ah3xXA/75j\nMW8yvn1NLat7lotQ0IlxUIUcSPdYFB19HixruLtKndQK8hClVmQd9apSHZyVRagp17Plq2JRCqXF\n5AwxiUSMhbXFOPDB+ILBhseqIBV4Zt0KtklKmR4udwgWo5rXJIVy9yGViNhx0OOPcxzE9lXV6Lvh\nx/keN68ZwIbHqtjS6qlmdwg9G8QiMV753UXednupnmOPcqkk2+yAgFGfvd+Fslr9oTgW1hZP+z7P\nZ2A0RMw2k0jEMBcpJwwsz1WZmKNMh89vbsSIN8Jqr5mKlDTATQFw6zkeSVh/xBvhZX+99u5lPDTP\nwp6HyV4b8Ybx8HwrzEUq9Nzws4HmJU4TZ/GZQSeQPV2kU0AsAn59870wdre5hdx5XqUgB7GnIzFA\n58EUCoUiDJ3p36cITVRNhUpEfSOoK9HA449j/9FuPLmiirhvoUYOrUbGKzVpa67EiDdMLDEz6uRI\npjLYtdaJUDTBBszaW6qhUUk5IsdWowrPtS8gdufMhxnMY4kkRsa4As3pdAYvv9PBc2yopgNlrpnO\nPZd13GuwuNaMq0N+XB8OcuzkX177BP/8wkosm2flZFnuee8K71xFWnIGVnFh1sl2lOnYchAGJrBt\nnmVNotlAKikgZpoxwYBIJIkbo0FOyfm21hrEBDJoff4YlDIJt5tngRhe//TExhPJDN45MfkmKbkO\n1ky7p1FmRioRR12JBo3V3PteLpWgvtIAe6kOF7rdqPz/2bvvuKiuvH/gn4FpdBiqglTRoRcLGFQQ\nE1uMSoyaWJ41ffVnkkdTnpSNz26SbU/aZjXZbLYkuxtTNIklbiwxJkaNa0xULICFqiIDAgMD0+H8\n/iAzzmXuBQZmBtDv+/Xa18Yp99zL3HPuueee8/1G+MFkZtDpTThUfD1jrqOzO4TaBh8v/t+/rok7\n6GYwmdHUouetD80aPaLD/eAlE+O/5iShtf16QoH5U+Ph5y2B3tDR7/Pcbp8FbtSD/OWIHemPyFBf\nwYFldy0T0+nMaG7V22UU1+mEl+ISYsE36C20MsMyQGUwmbH3aDXqm7oGbi9cUmPsqEAoY4LQ3KrH\n5IyR8PORIGtsKKf/XPRTopD5+fHYbrNEekZODL44XInU0SF2ZR4vq0dRwWhstbmWz58ajyA//hlq\n1O8lhBDnop7EDUqooxoR7IXzrYH4vuQavL2liA73E5w55i2XoLFFjyA/Gdbdk4XmVgOCAuTQ6k2Q\nij1RlJ+ArTYd1EWFibjWouc8uS8qGI27ChPRrNHjq2OXOB2HukattYPb16f6QsvlLLPabG9sKKYD\ncbf+nnOWQeL6Zq3dk24AUDVpMTUrivO0my8GoMJfynuT7SG6Xk7GmBB0dDLOMqwalQYRQ3AQzUvu\niZBAOWfQy1suhrfcEwBQVtNsF7Pxk/0XoYwJQpjCz257Hp4ibNlvP/i4XiAxSW8uNWj7nCSFb3nQ\nQLKnEdeSScRISQjG+UtqNGsMvFl3HZnd0dU2cGec3lWYCG8Z/2/fvT5WXGlF7bV23uXI+dmRdsl8\n5k+NR352JA4cv2K97vZ2nvc0yGswma1JeiLCxHYP1+ZOjsPIn2bKfX38knUgob5ZB1VTO2bkxEAm\nEbttmZhg2xCrQE7KCKeWRW48fIPeQn1lywBVZW0rqmo1nOvv/Px4nChrQLYyzFpXI8P8cP+8FHjL\nJZB4eqBBrcVft5+xLtUM8JVyBsKzlWG8GW3jR/pb24JAHylEoq7rT/cZtL0lN+qOHvYQQkjvqFW8\nQfF1VKPCfPH5oQrhbllZAAAgAElEQVR8sIcb2PhyfZvdjfe8KfHYeajCJvhyPE6ca0CNSmPNCmTb\nmY+N8IPOaLa7Qd36zUUsyE+AVm9GfnakNeFA93hqfX2qL7QkxvYJoe2NTdroYKy+Kx1yiQciFD6I\nHxVInQHiMgO9QezrTDah+r3/h0to1uixemH6T8sbpThWqkJ1nQbK2K7kAmNGBeHk+QZ88e31G+Ci\nggQkDcElG1KJB/y8JQj0lVmPp6OzExJJ182M4PJZgbhLzg42fq2ZP44T3+AK3/Kg/sSqIe5jqWfF\nF67xDqI5MrtDJhFjbl48FP5ylF/pWt4VEiBHRW0LFuQncAbPF+Tb18eGZi2Ol9VDGavgLEeekRMD\nc4d9Ao7t31Zg9cIMzms9nec9DfIC4Lz330syEejHjePm6y2GROzBO5BgyUw6NkZh/Vu4epmY8NJ6\n58ZeIzemUWG+WDQ9kTPjW+LpwTNAdf0hGV+m7e0HKrAgPwFXGtowJXMkVE06TuKtuZPjrIlwLEs1\n5+TF4YvDlYgO98OC/ATIJJ7WQWtLn3zelHg0tepx4tz18CjbDpQjOtwPvnLHkhvZooc9hBDSN9Qi\n3sC6d1RLq5o4A2hAV8f4f1aMR41Kg0cWZ6Ct3YSgALldvLPt31ZYZ3vlZYy0PvG2/cyD81N590Mk\n6soIuO6eLCyfrYTCX45t35T3OTunrZ4yHlmEBXnzdgSWzhgLkacH6pt6f7pGT+JIfw3kBtHRmWzM\n5v8vN7TBx0uC2Ah/1F5rh9HciTatCbER/pwgxL7eUiyePgap8SFQNbVD4SeBMlYBX4GYLIOpXduB\nSp4b8pCArnZAaFmZj8DsnnCFD+8T/f4GG3ckO2d/4uWRocHfR4q7ChPxic1Dov7Mar5U34YNm69n\nz/zvu7PAWoAIhRfWLc1Gc6seCn85gvyldvUxNMgbNSoNwoO9sXphOnQGM3y9pTCazGjXm3nLq6pr\nRdbYUOuMtJ7O854GedlP/23h4eGB93edQ3eRIX5gAG/2zawxoRgbI1i80znaNhBiYTCZsfNwJcSe\nHpzBqKNn6wAATy0fBwbYPSRrE4hJaDR3IjLUF+16s13d2HmoEuvuyeZcl5JigtDQrEWQn5wzuG5J\n+FWj0mDHwa4+ebYyDDUqjfVBcrYyjHe2dU/JjWzRwx5CCOkb6k3cRIRu4tr1Js4ykDl5cbzxzvx9\nupZ/CgUn9hO4CR8R3NVxb2k3oU1rggjg3b5l8MsyeBUcKIenB3fQi2+QwXZWm+XGhq8j8MHec9Aa\nzL0uIaUncWSwWGa+pMYHoaa2CTEjgzE6OqhP5+hdhYlIig1CS7vRbtBJKuHWWV9vKSamRECr1aK0\ntBReUvuYK0NBu97Ee0OeEtfVmff1kfAuX/Xz4b+BHqHwxrikME4m4qKChH4vZXUkOyfFaBx+bOuZ\nZalVkJ8MSXEKJEQFOHw96H4Nlks90dJu5Nz0zsiJweQM++WG8ZH+eKgoFc0tBusgebPGAImnB8Q9\nJPPZdqAcC/ITMC4prMfzvKFZyzvAXM/Tb+gpgYlMYJCqvZ+zPfvL0baBEAtL/3FBfgJn1qeF3tSB\nqVmRdtk8ZRLheigUTw0AWtoMyFKGWvumXxyuxKqF6fjTp6c4n7Mk/LL0n43mTgT4SLEgPwF+3l3/\n7yVQ/y5cVoOhqx3pCT3sIYSQvqERgZuI0E3cqHA/zo2gUNyHtIRgRIb6oqWNPzixqaMTiwoTYero\ntHbCJZ4eaNN1pe7W6U3YdqAcs2+JxaLCRM6Nw7JZSkSF+doNDMzIiUFZVRMnaYDtMraQQC94eogw\nISkcHp4iaPUmVFxphaqpnXcfbTsyQk/XLB0o2xuKdp2JsxzFFs1aI84kk4gRP8IXBvUlxI2I5j2X\n+AaJP9l/AU8uH8c76JQ2Otil++wqOgP/DBvL654iEUK7xUwTyugJAOcvqzkDaEDXbNy0hJB+ZSaV\niEV9Xr5rGQSxxIqSij0QpqBsgUOZbT2zzUb58iNT+tXGd78G640dfa6vMokYo6MCcKzFPrNfgI+E\n99prmTljNHfii8OVPZ7nIQFyKGMVdjNfIoK9oW4zYk5enHVgTSgJSWiQF6QST973RoXbxyh0JaG2\nwUMkcut+EPdwZj/MMqDsJRPbJcmakRODbd+UY1SYH6fvWHGlFYeKa+1iBS/IT8DxsnpkK8MEywv0\nk+HL72uw4KcEA1Kxh2CmXds+bKCPFO0GEycZwfz8eESH+9mv9GjS4p2tp7FslhKzc6IE94Ue9hBC\nSN/Qnf5NJD7SH0tnjuUs6Vw2S4mEqAAkRAUgMzEUFy6rodOb7OI+rJybjJMXGtCsMSLAxz54+Z0F\noxHgI8XFy2rO92bfEovYkf6YfUssDhXXAgB2fVeFJ5dn48kV49DQpEOYwgtJsQpcqm/D+ZpmrF6Y\njo7OTvh6SXG5vs0aC8J20EsZq7DOOGtuNeDiZTU+3nfeWu6jizN5/wbdBwj5nq5ZOlDdbyjEnh6I\nHelv9/SRZq0RdxN6WtzUquedTdKmde8sEGcJDuDPNqr46XW5XIzzl9QYnxQOjdYIf28ZjpXWISWe\n/4m5qon/7yb0el84sny3XWfitCnLZo3td7nE9Zw9K6P7TGqtzuRQfW1t4389wFeOalWb3bXXwnLd\nEzrP27RGa9IC2xv5Kw1t+P5sHT7ex50pJ/awjw01+5ZYeHp4oKOD2fUzls4ci4SogB7/Ns4m1Dak\nJ4a6dT+I65nMDDsOO68fFqbw5k3UYVnSXaPS2LUBLRoDQgK98GNZvXXgNjrcD/7eEjAGeMnE8PSE\nXd+5qCABnYxxZqIBXZlk+QbDLHV5Rk4MwhTe+MNHJzjvbz9QgdV3ZeCtT64vG5+fH48rDW0Auh4e\npwlcHwH3Zc8lhJDhju7ybyIyiRhzckchJlQCY6cEEcG+nFkTylgFGICnNhy0Ll2xPMGNDvfDC387\nigX5CdAZzNakAh4eIoQrvPHF4UpEhftyOtVA14BZxugQBPrKrE/ialQa1DXq8K9dpdbPFeUnIEsZ\nghHBPth5qBLKWIXdMgyAm0rcMnjVPSgzAGw7UI4lt47hDKx1T2YA8D9dCw3yRrYyzG6bn+y/gJyU\nCLunjxQ/grib0NPi0EBvpCeGcM7duZPjEBLAH7trqJOIRZg3JR47Dl5/0j5vSjwk4q7ZJB4iIDbC\nH1e7xYATmm3iJxBg2dfb9Uu8utoKbhypTbvPITMxjNqKIcrZszK6JwSRiD0dqq8dnYx3uTZE4L32\nLshPQOaYUOsNtNB5XlLVhPpmHXJSImDquD7TJSc5whp7yXaQTxkTZBe8XOLpgdZ2A2JG+KOhRdIt\n6YD7l1AKtw1u3xXiYo5kSe6Ljs5O3kQdS2eMtQ5qdQ8/Ivb0sNZB24GvJ5ePsy4JjQ73w9SsSPz8\nzjR0dDDIJJ44WlKHEcE+nNlkQFcm2e5LOufnxyM+0h/rlmYDjOFaC/+y6ka1Dg8XpeFSfdv1Ohur\nsA7KNah1EJoX6q7suYTcbDo7zCgpKRF8X6/Xo7KyElqtFnI59wFyRkYGpNKhF7f4Zket4k1GIhZB\n1qlGZlISvL3tbwRsn0JZOgLLZimt8UyOl9VbB5K2f9sVa+Xtz7ou8k2t/Bf0+mYtdAaz9UIOABqt\nkfOZrQfKkZIQDA8PEebkxVm3aWGJBWG5ebEdvOKLNVGj0mDF7CS8/MgU1DW2QS7uQH0rt2Mk9HQt\nPtIfJRWNgsdi2ymj+BFkMAg9LZbLRNh5iJtFcOehSmQmDs2YZ71pbTfh5PkGzg358bJ6jI4KBADU\nNerQpjfZzYipV+uQwrM9f4E4Sf5uSKpAbcXw44pZGbYzF/9zptah+mo08S//jI3gvyX295Himx8v\nI1sZhqAcueB5rmpsx4hgb5ypaOJs/6EFqUhJCOYM8s2+JRZecjFv8PKn/2s8zJ2d2P1dNWf52u7v\nqvsc2NxZhNqGuiatNVMxuTE4kiW5LxoFsjur27v6rXzhR+bkxfFvq0WHu28bA72xo2swV2eCwdiB\nEaE+2PZNOeZOjkNVnX2MYACoa9TaXftiIvxx4VKzdZCcT3CAF976tJjzmiWDZ41Kg9BAL+jVwsfv\njuy5hNxs2tVX8fqHtfALbujlk9zJHprGGvzlRWDChAmu2znSLzSIRjiEnkJVXGkFcP0J24zcGDyx\nbBwnPppQB10ulWDbgRJrfLO5U+Kx8yD3qVt0uB9KKpqw7UC5YGck0Fdmk0r8+g2pUAy3QD9Z19O3\nMDlKS0uRn6HEmFFBvT5dk0nEUMYF8W6z+wwEih9BBoNQPf3yaA3v5xsEbgqGujatiROL6vrrXTcz\nEpun/xa7vqtCeoLQIARDgI/UbgaN0SQc9NlZqK0Yflw9K+OaQL0Uqq86Ywfv634+/Nfe1nYjalQa\nFIyL6vE8Dw/2QWOL3m6ATi4T42x5o91MtFFh/IN2zRoDPD087Ge0pURAreGPpeoqjrYNZPhyJEty\nXwi11anxCkzLjuJNXiXYD/WVoVljsBuI1urNUMYqUFWnEfwuY8wusYHB2GE9r4+X1fM+FBJK/GE0\nd+KuwkREhXrjYg+DaIQQ1/ALjkZgROJg7wZxEv6Wm9zULE+hpmZFQRmr6Ap0/tMTeaBrIM1gNOPU\nxWtoUF9/AnisVIV5U+I525o3JR7HSruCG+892vV02mTqQLYyDNE2gYazlWH47JuLAIQ7I6PCfa3/\nbdvJsXQkbN1VmGg3W0AiFtkdl5DRUYHW47Xgm4Fg+3fp6XOEOBtfPfUWyMwl9PpQFyywrC04sOv1\nNoGMf0JBmQP8ZNZg6xZHz9Yh0E82gL3sG2orhie+euYsjtbX6Ahf3tdDA+VYVMi99tqGL/D1kvZ4\nnifHKmAw2ifxMJk7kJPCTUSQkxIhuJ1AXxmkUg+0tBux7UA5vjhciW0HytHSboRM6t7upmDb4OYs\nocT1LFmSbQ2kbeVrqxcVxiM9PsjaBnSfWczXD52fHw+xp4ddMptd31UhwEeKvUerrQPT3b+7cNpo\nu/AjACCyCVVQo9JYQ6vcOzcZC/ITUFbVJJiQJzbCH7mpEdZwCIQQQvpveN5ZkR65Iluk7RP56rpW\neHiI8K9dXRksLQGGj5WoMCE5HGvvyUZLmx5yqQTHSutwrERl3Y7R3IkGtQ7bDpRbOw01Kg38bGKm\nHC+r5wQtjg73w5y8OJypaEJLmxGT0kbwLjt9uCgN9c06MMYwKS3C+jdQ+MvgKXFsuVZfZyBQ/Agy\nlPh48S9X9BGIBdYXg5l9lnUyrJithEZrss6E8fOWoLOTAeAOrNsaGco/kyA+0h9TsiIHJWgytRWk\nu77W1+t1UIdHF2di24Fym3ALYxEV6g1TO5C1ahLKr7RCJhGjWaNHtjIMOSkR2HmoAlOyInnPc4PJ\njEv1bZBJPK2ZBC3bDvCRo/xyq93+GU0dvPtt7uxarsa35DRzjHsD+gu1De7OEkpcTyIWYW5eHOIj\nA6BqbEd4sA+SBzDgLZOIu7Y3MgCqZi3Cg7zgJWrhDD5ZHuTaJgYJ8JFi3T1ZqLyqQViQF3Z9VwWT\nmfGWYXkAfbysHlljQ3HiXAOWz1LC11sKk7kDYrEHpmaNxPs2cTRn5MSgXccNhWKZqf3k8mxcaWi/\nvlqEt352IHakPzpM3G0QQghxHPXebzCuzhbJAMikntD8FBvCcsG+Z8ZYiD09EBwgh8RTBAbYxWQA\ngFFh15MP7D1ajSeWj4PE0wN1Te2cz1mCFnvLxdAaTJwYaaomLRbdmoiiggSkJYSgrKoJ6jYDdn1X\nhRqVBg8VpeL4uXpOEO9FhfGIi+XvzAjpa1wIih9BhopAfxlCA+Wc5Yo+cjGC/Ps302qws896ij3Q\nrDFw4kbNnRyH6PCuwYCYcH8UFSRwnvQX5cdjZAj/INpgD2RRW0Fs9aW+8tXBRdMTUVQwGv6+UiTH\nKuABMzpMRsSF+eBsZRP+tuMs57OPLsm0yywttG3bh1sGk5l3QCxrbKh1BoxtvKbpE0bZLb220Lp5\nBhhv21CQwJkBT24MJjPDrqOVTrtOGUxm7DzM3d6iwnhER13vQ8ZH+uOholRU1Wo4SzUXThuNlDgF\n/vlFV+IsoXiFluQhNSoN8rMjMTUrEhqtEe/blHlXYSKe/tkEnLp4zVrHyqr4B8jqm3VIig1C4fhR\naGzRIVzhjWnjonCloQ0+cglCg7ysbYCWBtEIIWTAaBDtBuOqbJHdO9u2AU1rVBrU/JQKfEF+18DX\nOGWYNR24xfz8eBw/V8/pZF9r1mFmbgwaj+swPz8e2w9UIFsZZg1avCA/wS5r0cf7zmN8UjiUsQqk\nxAdj9KgAVF5pReKoQIQFeaODdeLpjYc539myvwLjlBEI8Pfp99+AkKEudoQ/LtVp4O/bCY3WCH9v\nGSRiEWJG9G+m1WBnn2WM8QZeT/sprtGl+jb8WFrPuZn/8afkJ8GB/DNRaCCLDBV9qa98dXDLVxes\nWamXzVJidk4UAEuWwnN2n52YHME7mMC37b1Hq/E/K8YjJNALlVdbeffbZOrAuKQwzgDVndNGIzrc\nzxqvsLsgPznv667C2zaU1uOWtJFU928wzs7OyVvnuvUhu8KcBOCdrWc4n/v064tYkJ+AnJQItOlN\n2Hmo0m7Qa35+PM5WNVoHeQ8cv4LZt8RyBtCArozwTyzLxheHuddAAFi9MN0aT+14WT32Hq3G79dM\nRnIcN2lGKsUAJIQQlxgWg2gHDx7E008/jdzcXLz66quc944cOYLXXnsNFRUVGDlyJB566CHccccd\ng7Sng88VGeAMJjOKL1zjdCqEAppaloJkjQnDwmmjMSLEB+VXWhAb4Y+dhyo4A2jR4X7wlotxqLgW\n8ZEBUPh7AUyEAN/rSy/5Mm92P57uN8XfnrjM+x3b+G2E3IhkEjGmZEWi8kqrU2ZaDXZGyWsCddby\nekOzljfxANV1Mhz0pb4K1UHLtXHT7jKkxXfVRUezFAptm7GubNsGYwdWL0zHsVIVJyyDqYPZDVD9\nUKLCpNQR6OzknyljWYLtLkJtA2XDvfE4OzunUL3ofl0RyuJpqZu2iS0sdSVjdAg8RCIE+ctgMndi\nZIgvfLwkgjM1y6+02tWncUnh2Hmo0u7cLr/SApFI5NaQC4QQcrMa8q3sX//6V3z66aeIjY21e6+h\noQGrV6/G+vXrcfvtt+PHH3/EqlWrEB8fj5SUFPfv7BDg7Axwlhlozd0ya1ku3mvvyca5mmbr0zDL\n65bOS352JKLD/aDWGDAxJcL6fnS4HzLHhGLnoUpkK8NQebUV8SP9oTeZIZde31ehJAN8x2OJG6PV\nm+1iuwBAaCB/kHJCbiTOnGk12BklhZahBvl3zWoR2j+q62S46K2+Cp3jttfGBrUOfnA8SyHftick\nh+PcpSbODPB5U+IxITkcx0pUmH1LLC7XtwkOUAUHygWXerrTYLddxH36m51TKN5nX68rPdVN2wfA\ntnUlJU6BnNQIbP3mImfW6KOLM3m3xRizq09jRgVi60+JuGzVN2nxztbTbg25QAghN6shn51TLpdj\ny5YtiI6Otnvv888/R1xcHIqKiiCVSjFp0iQUFhZiy5Ytg7CnQ4OzM8BZprXzDWbVqDSQSz1x5uI1\nTqBj4HrnxXKDkJs2AhOSwjB/agLm5MVh7uQ4nDzfAGWswprFa+OWYoyODMSu76qscVn4shYtm6VE\nVJgvSqua8O2JyyitakKb1oit35TjqQ0H8eYnxdh2oBzKWIU1/sm9c8eio5NZP28w8WcvIoRcN9gZ\nJX28xLwZf329PAX3b1FhPKIEEgsQMtzwnePz8+PhJRNjQX5XjC/Lzb2jWQr5tj0lY6RdCIUdBysw\nJTMSC/ITcLa8EYzxzyoLC/KGhwhQxiqw/dvr2TmVsQp4uDkh4GC3XcR9+pOd0/KA+KkNB/Hy+z/i\nqQ0HsfWbchhMZowK88WjizMxJy/OWsf4ritd59hYzmuzb4nF8bL6Hh8AX7ystlt2ve1AORZPT+S8\nNj8/3vow2LY+ecvFWHLrGM5nbbPxbtpdhsor/EuxDSYzKq62Q9Xug4qr7dQXJoSQfhryjymWL18u\n+N7Zs2ftZpwlJydj165drt6tIcvZgbMt09qFlm9u2l2GbGVX1i3LIFpRQQKiwuzjEUWGeMHTA9j+\nbSXm5MUhWxnGCcgKAJVXW63bsTx5C/aX4anl48DQ1QGJCvO1C/q65NYxOHL6Kmdbltguwf4y/FB6\nFc+9fcT6Hj2pI6R3gx2I/4qqHVcb27FqYbo1ZtSx0jpcrvdG1lj7/Qv2l8HUXsfJokbIcGZ7jl9t\nbIfe2IGdBys419uIYC9UqbuyFDpSX223faGmGfVqHRpb+JeoNbfqOddrSwxTC8ugxdc/XOadiTYm\nOhDK2GC+TbvEYLddxH0cPe8B4XifWWNCceJ8Q7f+ZSIyYjx4rys+XhLOuS7x7Bo8k3h6cLLMd21n\nDOIi/bH/B/uQIzUqDe6aPhrPLE+FsVMCsacn9v94CcpYBecB9fyp8TCYOrDo1kSMTwrHhctq1Ddp\n7VZe8C1lHexEQYQQciMZ1q2mWq1GREQE57WAgAA0NzcP0h4NDa5YztV9YMs2xlmNSoPVCzNQVdeK\nYH8ZzB0Mh4prETPCnxObQSIWIS3WDx1TEzAixIc3i5fl6V33pSK/XzMZCVEBqLjSatfBAbqSDSzI\nT7DbZidj6GAMm/dzn6y7Mzg6IcPZYAbi9/GW4FgJNx4TAEzJiLT+t+3+abValJZS5jFyY7Gc4wzA\nUxsOct7b+k05cpLD7T7b1/pq+XxTqx7vbD+Dx5dm834uJNALqxemo1VrhL+3FOW1LXhqxXgwxjiD\nFj5eEt6lnj5yiWMH7QSUROTm4ehvLRzvU2fXvzxyug5xI0bj+5JrCA/xtfZrK6602iUWAIDn78uB\nqrkdR8/WWfvMo6MCMCl1BGQSMbyknrxliyCCrFONzKQkVNfrcaxEhehwP84gnZ+3BOKfBuoYYB20\n645vKetgJwoihJAbybAeRAMguKzAEQaDAVot/wXVVXQ6Hef/h2q5IxUyLJ05Fh/sOWftGM/IibFL\nElBV14ozF69BGavgzFZbOnMs5uSOgkQsgk6ng5i1wlvuiS8OV2L2LbF25R0vq8fi6YnY/NX1rJ6L\npyciJECKz76+iA/2nMOcvDjefeVLQhDsL0NdYzvv5+sa2xAd5tqMYYP5O3t731xL2txRj931e1I5\nXXy9JLwzYH28xLy/9VA/nv6WRXXZuYbreaK61sb/elM7AjwGVo5WZ8KMnBi0tBuxbOZYtOvNMJq7\nbtx95GIYjR1469NT1s/PyImBuaMDOUld2f86TEZoTUYE+Ul562yQn7TPv6m765c7yqJ67HwD+e0U\nAvE223TchzDR4X5Qxirwu3+dsL5m6dcK1Uet3oip6RGIG+GHa2o9QgO9EBXqDQ+YodWaIZeKeeuI\nXOoJGLuOZ6RCjkWFidiy/4K1r91Vj2RgjOGjvefwyf6LnO8DXQ+gl84cixEKmd3fXmh/XdkXHq5t\nbU/lUD12Hb2efyb0zayzw4wTJ044/LdJS0uDVCrt9XODdZ86mGU7qx4P60G0oKAgqNVqzmtqtRrB\nwY4tGbh69SquXr3a+wddoKqqasiXmxQhxTPLU6FuMyHAzxsf7L1o95RZKvbgXZ75wZ5ziA2TQNpx\n/XdKHiFFTPhoXGs1YeG00fj06+sdgZyUcGQnyBAWlI6Kq13pu/9zpg6MMRw9q7KWxSd+hB/n34sK\n42Fqr4O3hL+iyDxNKC0t7fPfYSAG43d2tB4Md+6sx+76PW/6crxGIsBHardcRiRCj3V3yB5PP1Fd\ndo3hdp7IPAN5X/eSdAAdAyvHSxaKsqompMYrUNfYjp2HKq3vzZ0cB49uQc32Hq1G9thgu3rIpCG8\ndVan06K0tMahfXLnddMdZVE9do3+/HaeEikWFcZji80qhUWF8eg+gaunfq2Mf0IZZJ4mXLzQNePL\nD4BeDVy0uVURC9QRscjEOZ7k6BDcM2MsxJ4e8PGSAKwT1ao2NGsMdvu092g1Hr8nEzKxGV4eWmv5\n3P3ibz/c0Rcebm1tT6geu05lZWXvH7rJtKuv4q3PauEXzB/nkI+msQbrllY6lGRxsMYjBqtsZ9Tj\nYT2Ilpqaiq1bt3JeO336NDIyMhzazogRIxAYyH9xcRWdToeqqirExsbCy8t9meQGWq7JzDA5U4sP\n9lwPilpUkIAfS+uROjqE9zuGDgkykpKg0+lw6UotRPIQGFqM8JKJUazSXJ/uHhmA7LHBuNqow8ZP\nvuNso0alsS7XPF5Wj0WFiTB1dFqflIcGeWF8Uih+u3oS58mfRCxCm1aHxYXxnCWdS2eMRXJ8BCTi\nEQ7/DRwxmL/zzcYd9dhdvyeV02X/8TpU1bViQlL4T8vIumKiKQLkKMxOclo5jnJnvaa67HzD9Twx\nmRmWzjRxrr9LZ45FQlQgLlWrB1SOztiJcUlhuNqo5QygAcDOQ5VYOmOs3XcMJoasZG49/L7kGm+d\njY7wxcQk+zrLuy9url/uOhduNkOhHpvMDJcatLjWrENIkBdG/dQvBIC4WIZsZTinzwjAuvoC4F/h\nAHT1a7MSg3nrY299S5OZoVZtRn3T9XPCz0cCvckDnh6BSBgVCJlUjmpVO6QSA1rajDhw/DKylWHY\n9V2V4GoMiETIGNNzuf3Z34EYrm1tT+XcbNx5j9w1463eLWUNJ37B0QiMSOz9gzbi4uKQ1Idr7mDd\npw5m2c6qx8N6EG3evHnYuHEjPvnkE8ybNw9HjhzBwYMHsXnzZoe2I5PJBm16rpeX16CUPZBy75w2\nGlljwqwBXKPCfHFL2kg0qHX44rD9U4SIYF94SqRQ1WlxolqEz7753vreklvHYHRUIIL8ZTB3duJs\npRpaPX+2INvOTJvexAnYumh6IhpajEiMViA1gXtam8wMPt7c4K++PhLIvWS8wVSF0p4PxGD9zjcT\nd9Zjd/2eN6mebCwAACAASURBVHs5Cn85YiP8UXutHUZzJ9q0JsRG+EMRIO9xO0P1eEjfuKsuD8fz\npPv1Ny7SHx0m44DL8fYGFk8fg29P2Ac9BwAvuRirF6bjWOn1GIUjQ3xQXa/nXCsjQn156+yIEF+H\n982d9YvqsvMNdj02mMzYcbjnQPoB/j5237OtY3KZWLBfG+Dvw1sfZRKxYD/SYDKjur4VYYHeiFD4\noF1vgqeHCJfr23C6shlSsQfajGI0tjZwMnjeVZiI6Iiu1RZCqzEigu3rWPf9uGNyPNISFKipbULM\nyGCMjg5yS1KB4djWki7u7FvL5a4NsXMzkct77id3N5h1Z7jW2yE/iJaeng6RSASzuWtg5csvv4RI\nJEJxcTEUCgXefvttvPTSS3jhhRcQGRmJl19+GYmJjo3WEsfwBXBVxioQZzJj2SylXYclQuGNb49f\ngdHcic++4U5B/3jfebzy6BROsoAF+Qm85SqjA/HFYf7p9Vu+ugCTuRMnzzdYO0iWzkPV1RY0a8w4\ncY6bvSgxKoiyFxEyhEnEIrS0G+1ix0iHafZNVwzQk5sL3/VXazLCUyJFxdV2NLU29fvc8vWWIoQn\nILml3Lc+Le66PicDsRH++KG0Hh/vO2/9zLJZSqQnBPPWWWfEryXEEf0NpG9bxwwms3VmWnS4H7KV\nYQj0laGDdcJgMkMmESMu0h8MXRkxGYBRPBnkl81SYm5enN3rz62ciDOV1ziZbufnx+NEWQNnnz7Z\nfwHP358DoCt2cPeYapbsuLaE+rOzc6JgUF9C3Ihouv4QQkg/DfnW89SpUz2+P378eGzbts1Ne0N6\nwpdSPirMF9sOlOPjfecFp6B3z4Z0vKzeLjX4jJwYtOlNeOXRKThfw5991WjuxLafOkhxkf52nQfb\nwKtd5dqnAKfsRYQMHW1aE+dGAeiK/ZKaMPxiktAAPXEVk5nh1CVgy/7rYRD6e255ioB5U+Kx4+D1\nm/p5U+JhNHcAALYdKMeTy8fjcr0GH+49x/nupt1liFiazVtns8aEOnpYhAyIcAZO+76fEJlEjDm5\nozB6hBdKato4wfyFBsYeXZzJ24+MjwzgvB4d7odmjZ4zgAYA2w9U8Gab1+lNnAfV86cmIMhPhqQ4\nBRKiAuzqulB/Ni2e+rKEEDJQ1HMnTtX9KXlpVZP1SbXQFPR2nYnz7xqVBvnZkZzll8fL6rH3aDV+\nv2YywoPtp9/bbt/yNLB752Hv0WprxyQ63A9ymRjfnrjMeWrvjE4XIcQ52rq1Db29PpTRAD1xlUsN\nWk6AdKD/51YHA06eb7C7/s6dHG/9jFqjh97Ywft9jUDdbNcPvzpLhrdQgVmVYQKv8zGYzLjUoEWb\nAZwBNIB/YAwALl5p4d2Wqonbv8xWhqGqTsP7Wb5YbOEKH+SmjeA8qI7rYcapqok/M32DWgc/3ncI\nIYT0FQ2iEZeyHZQSmoI+KsLX7nuNrQbeOBSllU3Y/8Ml3vTgx8u6glGGBXmjTqDz4O8jxT0zxsJo\n7sCLfzvK2Y+iggSndLoIIc7h7yMTeL33tN1DDQ3QE1e51swfJLc/51a71ogalcZuFkxjy/UyvOVi\njJDwP8yKUPBfK0eF0207ca/4SH/eECPdlz0KsZ09LLSS4mqDfV9T6IFxeLe6YUmMxWd0VADn38tm\nKREV5msNBxCm8EZHZyeOnqnjXb5tMJlhMvEnRQgN9IJezfsWIYSQPqJBNOJStoNSlk75/KkJCPCV\nItBPhkmpIyCReNh1dFJiFZCKPaydjONlXfHM1G0GznZMHZ2IjfDHzkMVqFFprB2NSyr+p3ut7V0B\nmLvHVLM8te9rp4tiGxHiej5ennZLu2ffEgsfuefg7VQ/0QA9cZWQIP6sVv05t3y8JLyvjwr3xYL8\nBEg8PWDu6MTOg5VYcmsiPt53wfqZZbOUSIpVYNmssZyg6MtmjUVCt0EBQlxNKMRIX/tutrOHhQa7\npJLr1yJLzDSRSIQ1izKw49sKa3912SwlkmMVnP6lpW/b/aHw4umJmJQ6AqPC/Dj7bVk2Gh3uB2Ws\nwu6BtO3y7Yorrdh2oNxu20tuHYOoUG9cpEE0QggZELrrJy7VfVCqRqWBMlZhDfI/KqyrM2Db0QlX\neOP4uXrOQNeMnBgUThiF/ccuWbdj6ZysWZSBJbeNsU5tF+o8zM+Px/GyeqSODuHdV8tT++6dru7T\n5Sm2ESHuodaYEOAj5Swtk0s9odYMv6Vho8J8UVSQgK02yVWKChIQFWY/E5cQR4wI9sKC/Hhss4mt\n1N9zq11v5p3p3aYzYduBcizIT0BHRydqVBosujURLz8yxe5aWVQwGpmJ9hkLCXG37kkCHOm79baS\nYkZODI6V1mFGTgzKqpqgjFVw+q1Lbh2DFbOTEOgns6kb3L6uj5cYB0/UWq9x8SP8MD4pFL7eUrvQ\nKJb95kuu1X35dkOz1u6Bs1TsgdFRgZAM08Q8hBAylFCvhriUpdMQGeqDMxVNnFllwPWBK9uOTmlV\nEz7Yww1YvPdoNdbfn2O3xAQAYiL8OUtWhDoPEcHeOIEGwSeKlqf2fNnPbFFsI0Lcw8MD+O7UVWSN\nDbO+9t2pq7ircPQg7lX/XKpvw4+l9Zw26cfSetySNpLaDTIgVxt1OF7W4JRzS+zpgbKqJruYaPGR\nXTPJth0ox8/vTO/6rIcH77Wyt2soIYPB0b6b0EqKUeG+8JFL8OHec9YYu3Mnx+GtT7mJ0D7edx4v\nPzKFs21L3bA88I2NCED87YHQGUwICZDD1F4HL2m43b7YDujxxUsDuMu3LfvefWl2XvpI/j8OIU72\nvy+9DKOJP3amkCuXqwEkuGaHiMsYjUYUFxc7/D29Xg+JhH/2+3BAg2jE5WQSMUICvfHF4R/t3uNb\nbiIUO0jbLTMRwL/UUqjzsCA/AcpYBa40tPUpPbgQim1EiHvIJJ5Qxiqw/VvurFSZdPhduiyD+90f\nBFC7QQbqWrPOaedWaJAXb51r1xmt/9YbumarhQosIyVkKHK078a3kmJKViQKxkWh4kqrtb7VqDSC\nCQL4ti00Iy5ztAIX1cbumwDAHdDr7UEw375byoiL9EeHib8MQpzp0Mkr8I6Z5tB3rlyugQ//YiEy\nhBUXF+PB5/8Fv+Boh76naazBuqXjkZ6e7qI9c63hdydChqX4SH8snTmWM8NMaOBKKHZQ98xEIYFe\n8PAQ2QVW5es8WBIP1Kg0WJCfgONl9XhkcSZkEg+EK3wcWm5CsY0IcQ8vuafdck6Jpwe8ZBQTjRAL\nZ8ZEixvpj9iRfnZ17sDxK9bPhAZ5Qyr1QOzIvj14ImQocLQNtqykSI0PQk1tE2JGBmN0dBBvP7Mv\nA1sWfDPiDp64gviR/rjW7gPZ1XYkRks5fVLb8oSSdNn2p/niwVn6uVoaRCOEOJlfcDQCIxIHezfc\nigbRiFvIJGLMyR2FmFAJjJ0SRAT7Cg5c9fQEzXYqfE+xLXpaQhqm8MYjizP7HadloBmfCCF9wzoB\nucyTs3xFLvNEZycbxL3qH2o3iKuMCvXGosJ4bNl/PSZaf88tmUSMGTkxqLzSiooraohEHtbEPUDX\njG5Pz59mhFKcMzKM9KcNlknEiB/hC4P6EuJGRFvPeaH4ZtyEGvzb7j4jzpIo4MW/f8/5rm2sNr7y\nCsePQmOLTjDuIC2rJoQQ16EeEHEbiVgEWacamUlJ8Pa2fzpnm/Eyc0wo0hJCBDsIvcW26GkJabhi\nYIGOe3rCRwhxng4GlFU3Y0JSOFq1Rvh7y3CstA5xI4dfpj9qN4irSMQipI8CsldPQlOrccDnluXm\nu1VrxO4jVZg7OY5T/9ISgum8JcOOs9vg7oNUsSP9kZYQisv1GvjIJZwZorb9W7lMjOhwP+vAdF8S\nBfCVRwghZPBQL4gMCQPJmmTLNv6E0LLOf+wswZSsyAFl06TODCGuZzJ1IMhPzgnYPCMnRjCw8lBH\n7QZxlQ6TEWNG+CI1wXnLgwXrn4PBogkZKlzdBp8uv2bXj52bF4edhys5rxcVdAVPr1Fp+pQogBBC\nyNBCg2hkSBhI1iRbtvEnLE8d40b44/j5Bs6yTsqmScjQJxKJOHFfgK5MveOUYQLfIIQ4C9U/QvpO\nqB8bHxlg9/rWb8qx/v4c6AxmyGVifHG40m57FC+TEEKGLv5ImIS4WU8zy/hYZpnZ4os/IZOIodOb\n8MXhSmw7UM7JXia0bULI0NDcqnfodUKI8wjVsyaqf4TYEerHqhrbeV/XGcyYmhWFjMSQPvVnCSGE\nDB00E40MCf3NmtSX2BbOzFxGCHGfUIVAuyDwOiHEeQTrn8A1lZCbmWBm+WAf3tctfdCesoASQggZ\nmmgmGhkS+jqzzJYltsXUrChrMgE+lsxljmybEDL4kmMV1tgxFkUFCUiiZdiEuBxf/VuQH4+ESL9B\n2iNChi6hfmxyrKLX/q0lC2i4dzviRvjQABohhAxx1EqTIcGVmeucnbmMEOIevt5SLJ4+BqnxIVA1\naxGh8EZSrAK+3tLB3jVCbnjd6194kBe8RC3wktLzV0K666kfS5mZCSHkxkItOBkyXJk1yRWZywgh\nrufrLcXElIjB3g1Cbkq29U+r1aK0tHaQ94iQoUuoH0uZmQkh5MZCg2iEEEIIIYQQQgghNyGj0Yji\n4mKHv1dSUuKCvRn6aBCNEEIIIYQQQggh5CZUXFyMB5//F/yCox36nqriGMLjJ7hor4YuGkQjhBBC\nCCGEEEIIGcY6O8x9nh2m1+tRWVkJrVaLiooK+AVHIzAi0aHyNI2X+rObwx4NohFCCCGEEEIIIYQM\nY+3qq3j9w1r4BTc48K36m3ZGWX/RIBohhBBCCCGEEELIMEczylyP8pQTQgghhBBCCCGEENKLYT+I\nVltbi4cffhg5OTkoLCzEK6+8Mti7RAghhBBCCCGEEEJuMMN+OeeaNWuQlpaG/fv3o7GxEQ8++CBC\nQkKwcuXKwd41QgghhBBCCCGEEHKDGNYz0U6fPo3z58/jySefhI+PD6Kjo3Hvvfdi8+bNg71rhBBC\nCCGEEEIIIeQGMqwH0UpKShAZGQlfX1/ra8nJydZUrYQQQgghhBBCCCGEOMOwXs6pVqvh7+/PeS0w\nMBAA0NzcDG9v7x6/39nZCQBoa2tzzQ72wGAwAOg6Bp1Od8OXO5hl38zHLJfL4eExrMfKe+XOeuyu\n35PKoXK6l0V12XlutPOEyhn6ZVE9dr4b7Xy80cpxZ1lUj51voPW446fvO4IxBk1jjcPf07bUAWAu\n/85w+d5w2EcAP/3WYcP2HlnEGHP8qIeIP//5z/jyyy/xySefWF+rqanBzJkzsW/fPkRGRvb4/cbG\nRlRVVbl4LwkZPElJSb0OJg93VI/JzYDqMiHDH9VjQoY/qseEDH8DrcfDeiaaQqGAWq3mvKZWqyES\niaBQKHr9fkBAAGJjYyGTyW74Jwrk5iSXywd7F1yO6jG5GVBdJmT4o3pMyPBH9ZiQ4W+g9XhYD6Kl\npqbi6tWrUKvV1mWcp06dQkJCAry8vHr9vlgsRnBwsKt3kxDiQlSPCbkxUF0mZPijekzI8Ef1mJCe\nDeuh5aSkJKSlpeHVV19FW1sbysvL8d5772Hp0qWDvWuEEEIIIYQQQggh5AYyrGOiAYBKpcLzzz+P\n77//Hr6+vrjnnnvw//7f/xvs3SKEEEIIIYQQQgghN5BhP4hGCCGEEEIIIYQQQoirDevlnIQQQggh\nhBBCCCGEuAMNohFCCCGEEEIIIYQQ0gsaRCOEEEIIIYQQQgghpBc0iEYIIYQQQgghhBBCSC9oEI0Q\nQgghhBBCCCGEkF7ctINop0+fxowZM3D33XfbvVdWVoYVK1Zg/PjxmDlzJt59912nlVtbW4uHH34Y\nOTk5KCwsxCuvvOK0bfM5ePAg8vLy8Pjjj9u9d+TIESxatAjjxo3DHXfcgc8//9xp5dbW1mLNmjXI\nycnB5MmT8cwzz6Ctrc3l5ZaVlWHlypUYP348Jk+ejLVr16KxsdHl5Xb3m9/8Bkql0vpvV5atVCqR\nnp6OjIwM6/+/9NJLLi93qCksLERqairn77B69WqnbNtd9ban33Kg3NUWCJXz/fffQ6lUIiMjg3N8\ne/bs6Vc57mpj+MrRaDROP56h0na5kiP1aOPGjSgsLER2djbuuOMObN++3WVlWahUKmRnZ2Pjxo1O\nL2fjxo1ITk62O1+ampqcfjwVFRVYsWIFMjMzMW3aNLz33ntOP57777/fegyW40lOTsabb77p1HIY\nY/jjH/9oPRfmz5+PL774os/H40hZZrMZb7zxBm699VZkZWVh5cqVuHTpUp/L6amN7e6f//wnZs2a\nhfHjx2PZsmU4e/Zsn8sZyvjasWvXrrmsvO59LWdz5TW5uz/96U+YPHkysrKycN999+HKlStO3f4P\nP/zAqbMZGRlIS0tDUlKSU8sBgNLSUvzsZz/DhAkTMHnyZDz55JN9buscdebMGfzsZz/D+PHjkZ+f\nj7///e9O2e5g3T8NBe68V6X7VLpPdfUxC7WtAy6b3YR27NjBCgoK2IMPPsiWLFnCeU+v17OpU6ey\nN998k+l0Onb27FmWk5PDvvzyS6eUXVRUxNavX8/a2tpYdXU1mzFjBnv33Xedsu3u/vKXv7BZs2ax\npUuXsnXr1nHeq6+vZ5mZmeyzzz5jBoOBfffddywjI4OdOXPGKWXfcccd7Nlnn2U6nY7V1dWxhQsX\nsl/84hcuLddgMLBbbrmF/elPf2JGo5E1NTWx5cuXszVr1rj8eG2VlJSwiRMnMqVSyRhjTKVSubRs\npVLJamtr7V535zEPBdOmTWPHjh1zybbdVW+FfsuBcldb0FM5R48eZYWFhQM6DlvuamOEynHm8QyV\ntsvV+lqP3nvvPXbbbbexqqoq1tnZyXbv3s2SkpJYaWmp08uytWbNGjZhwgS2YcMGp5ezYcMG9vTT\nT/d5u/0tR6/Xs2nTprG///3vzGAwsNOnT7O5c+eyiooKp5bTXWtrK5syZQq7cOGCU8t5//332dSp\nU63nwtdff81SUlLYuXPn+lSOI2Vt3LiRTZs2jZ07d44ZDAb2xhtvsLlz5/apjJ7avu6++uorNnHi\nRHbq1ClmMBjYO++8w/Ly8phOp+vzMQ1FPbVjrtC9r+UKrromd/f++++zOXPmsKqqKtbW1sZeeukl\n9tJLL7m83LfffrvX89VRZrOZTZ48mb3++uvMZDIxtVrN7rvvPvbYY485tRzGGFOr1Sw3N5e99tpr\nTK/XswsXLrDCwkK2e/fuAW13MO+fhgJ39XnpPpXuU119zEJtqzPKvilnohmNRmzevBnp6el27339\n9dcwm81YtWoV5HI5kpOTsWjRInz88ccDLvf06dM4f/48nnzySfj4+CA6Ohr33nsvNm/ePOBt85HL\n5diyZQuio6Pt3vv8888RFxeHoqIiSKVSTJo0CYWFhdiyZcuAy9VoNEhLS8Pjjz8OuVyO8PBwFBUV\n4dixYy4tV6/XY+3atXjooYcgkUgQFBSEGTNm4Pz58y4t1xZjDL/85S9x3333WV9zddmMMTDG7F53\n1zEPJXx/h4FyZ70V+i0Hyl1tQU/lOJO72pieynGmodB2uZoj9SgpKQmvvPIKYmJiIBKJMHPmTPj5\n+eHixYtOL8viwIEDqKioQEFBgUuOaSAcKWfXrl3w8/PDvffeC6lUitTUVOs55Mrjef3113Hbbbdh\n9OjRTi2npKQE48aNs54LBQUFCAwMxLlz53otx9Gyvv76ayxevBhjxoyBVCrFI488gubmZhQXF/da\njiNt3+bNm3HnnXciLS0NUqkUDzzwAEQiEfbv39+nYxqqemrHnI2vr+UKrromd/fuu+9i7dq1iImJ\ngY+PD5577jk899xzLi2ztrYW7777Lp566imnbrehoQENDQ2YN28exGIxAgICcNttt6G0tNSp5QDA\nyZMnodVqsXbtWshkMowePRr333//gK+Pg3X/NBS4s89L96l0n+rqYxZqW51R9k05iLZw4UKEhoby\nvldSUoKxY8dCJBJZX0tOTsbp06cHXG5JSQkiIyPh6+vL2XZlZSW0Wu2At9/d8uXLOWXZOnv2LFJS\nUjivOes4/fz88Otf/xoKhcL62tWrVxEeHu7Scv39/XHXXXfBw6PrtK6oqMDWrVsxZ84cl5Zr68MP\nP4RMJsPcuXOtr5WUlLi87FdeeQXTpk3DhAkTsH79emi1Wrcd81Dyj3/8A7fddhuys7Px6KOPOmX5\ngLvrreW3nDhxovW3HCh3tQU9lQMAbW1tWLNmDXJzc5Gfn+/QMjNb7mpj+Mqpra1FeHi4U49nKLRd\nruZIPZo4caL1IZfBYMD7778PT09PTJo0yellWcp48cUX8b//+7/w9PR0yTEBwLlz53D33Xdblw4c\nPnzY6eX8+OOPSExMxLPPPosJEyZgzpw5fV6i0N+2rrq6Gjt27MCaNWucXk5BQQG+//57lJWVwWQy\n4auvvoJer8fEiRNdcky2fT+RSARfX98+3fz31vbZOnPmDJKTkznlJCUlDbs63Z1QO3b77bc7vSy+\nvparuOKabEulUuHy5ctQq9W4/fbbkZOT47T+S0/++Mc/YtGiRdbrmbOEh4cjOTkZmzdvhlarRWNj\nI/bu3Ytp06Y5tRwLkUjEuUH39/dHWVnZgLY5WPdPQ4E7+7x0n0r3qa4sl69tfeyxx9DU1OSUsm/K\nQbSeqNVq+Pv7c14LDAxES0uLy7YNAM3NzQPe/kD3JSAgwCX7cfr0aWzatAk///nP3VJubW0tUlNT\nMXfuXKSnp+ORRx5xS7nXrl3Dxo0b8ctf/pLzuqvLzszMRF5eHvbu3YuPP/4YxcXF+NWvfuXW33go\nSElJQXp6Onbs2IFdu3ahpaUFjz322IC36856a/tbfvTRRzh58iReeOEFp5bRnbvOE19fX4wdOxYr\nV67EoUOH8Jvf/AYbN27EZ599NuBtu6uNOX36ND744AOsWrXKJcczWG2XO/SnHj3//PPIzMzEe++9\nhzfffBPBwcEuKWvjxo3Izs7u88BMf8oJDw9HdHQ0Xn75ZXz33XdYuHAhHn74YVRVVTm1nLq6Onz1\n1VeYPHkyDh06hIceegj/8z//06ebyv62dX/5y1+wcOFCBAUF9VqGo+XcdtttWLx4MRY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "\n", "sns.set(style='whitegrid', context='notebook')\n", "cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n", "\n", "sns.pairplot(df[cols], size=2.5)\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Jy+LM3NmzZzFo0CCTQA4A9u/fD0EQMHToUGOZg4MDBg4ciNOnTz94T4mIiIio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a/zsjLZF/Ffqnt6U79le7LS/1mTryBH+/3IvXmDrPRUbNXOWFoZfn8BrKxVeD/bndT4syScOFSl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\nT0/atm3Ljh072LVrF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\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()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solving for regression parameters with gradient descent" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class LinearRegressionGD(object):\n", "\n", " def __init__(self, eta=0.001, n_iter=20):\n", " self.eta = eta\n", " self.n_iter = n_iter\n", "\n", " def fit(self, X, y):\n", " self.w_ = np.zeros(1 + X.shape[1])\n", " self.cost_ = []\n", "\n", " for i in range(self.n_iter):\n", " output = self.net_input(X)\n", " errors = (y - output)\n", " self.w_[1:] += self.eta * X.T.dot(errors)\n", " self.w_[0] += self.eta * errors.sum()\n", " cost = (errors**2).sum() / 2.0\n", " self.cost_.append(cost)\n", " return self\n", "\n", " def net_input(self, X):\n", " return np.dot(X, self.w_[1:]) + self.w_[0]\n", "\n", " def predict(self, X):\n", " return self.net_input(X)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X = df[['RM']].values\n", "y = df['MEDV'].values" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "sc_x = StandardScaler()\n", "sc_y = StandardScaler()\n", "X_std = sc_x.fit_transform(X)\n", "y_std = sc_y.fit_transform(y[:, np.newaxis]).flatten()" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "<__main__.LinearRegressionGD at 0x7f236dc37320>" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lr = LinearRegressionGD()\n", "lr.fit(X_std, y_std)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AklRexToAAACASEYAiAAJzhjZopqnPpURAAAAACIaASACRBnG2Z2AqhpCXA0AAABCiQAQ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\n2lFyLMQVAQAAWBsBAKaXfW0vpSZ3lyR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(1, lr.n_iter+1), lr.cost_)\n", "plt.ylabel('SSE')\n", "plt.xlabel('Epoch')\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "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": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oKCjAjz/+iHfffRfnzp3Dm2++ae0wiYiIqI7hbr3GEVs7sTVmKUJDe4u+7/rx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\nCoXs6dOnMscYMmQIa9euHcvKymLz5s3j/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"text/plain": [ "" ] }, "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()" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 0.695\n", "Intercept: -0.000\n" ] } ], "source": [ "print('Slope: %.3f' % lr.w_[1])\n", "print('Intercept: %.3f' % lr.w_[0])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Price in $1000's: 10.840\n" ] } ], "source": [ "num_rooms_std = sc_x.transform(np.array([[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": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 9.102\n", "Intercept: -34.671\n" ] } ], "source": [ "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": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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3/JmXjjb3Fr+uKSebuyIOYPt5ADWpGotCocCWLVuwYsUKxMfH49atW1AoFJgw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1qjRw/h0MuTdazkpx0QjgrRsUSap6kGnTZ2bpoyp+T9FD56CIt2HRC+ZDUzT8qeeAD1TcREpmYq\nycXW6Tlw7ASNdPs16GZeDRj8Lh1BEISOUMoBCAkJQa9evaQ+GzNmjMoOAEG0aAypS21dHawnvQn+\nryflhp6NeQNlkdGAjn5/tZkXoQmDThtGsbpzyt7Pwe1bMCh0stQ8g9+ciOToSDi7eYBXLVRNMAN0\nUnWJNh0ggiCI5oRSDsCqVavkPlu9erXGhSGI5oyhJDvyE+Jg/dEM1rF8wW2IHB11Jou2V1w1YtBp\nwyhWc07Z+zHjt2Gdx8SMX98BOThYNbkMyUnVB63cASIIghCjdhLwoUOH8MILL+Cll17SpDwE0WzR\nd7Kj0e1/4PCyH+tY8Z6DqA4aqBM5JNH6iqsmDDptGMXqzilzP9VVVazzPLqVjrkzZ6O7ijo0FCdV\nb7R2B4ggCKIBtR2ARYsWYezYseQAEIQEeomDrq6G7dD/wvT6VbmhyvemoeKbtbqVRxJtr7hqwKDT\nhlGs9pwy9+MbOBAnd8dhyPhJUvPMnTlbrfdM306qvmn1DhBBEEQDajsA3bt3h0Ag0KQsBEGoiPmP\nG9H264Vyn9fZ2aHw0t8QtbXSg1QSaHnFVRMGnTaMYnXnlL0fZzcPXP71KI5HrIO1vYPGZGstBj8g\nn4PS280dv7dSB4ggCEKMUmVA2bh79y4+/fRTODs7IywsDL6+vpQULAGVytI9ralMmfGN67D/bwDr\nWNHxVNT49dWJHIJ0AQ6lnICxuTlqnz7FiMHSxpQ2y05KXqM5lJ9UFlXupzW98+qgrfeP9K4/SPf6\ngfSuP/RaBpSNZcuWwdbWFn/88QdOnDgBY2Nj2NrawtKSW8jjx4+rezmCIACgshL2L/vB+NFDuaGK\nLxaj8pO5OhOFMa4mcif4amp1XVEloZa2ot1c7keZ6k767oxNVX8IgiDYUdsBOH/+vNTPNTU1yM/P\nR35+PuvxtDtAEIppzFiyXPYVLDatlzuvxsMTRb+eBfh8XYqrtHHVVINW3UpC+jY+WzLKPBODqLlP\nVX8IgiBYUdsBiI2N1aQcBNGqUWQs9S4ugu3ooaznFZ69gFoP9kZfWkdHxpU6q7gGYXy2YJR5Jgax\n+k5VfwiCIFhR2wH4z3/+o0k5CKJVw2YsDRo8FIGv9IARS5pO2dr1eDZlqq7FlEZXxpUajoZBGJ8t\nGWWeiQGsvlPVH4IgCHbUdgAIgtAgksaSSIS+X36CLom75Q4TvhqIkr1JgLGxjgWUR2fGlTqOhgEY\nny0aZZ6JAay+t/aypwRBEFyo7AAcOHAA+/btQ0ZGBqqqqtChQwcMHDgQ7777LpycnLQhI0G0fBqM\npY6njuOVWewr+wWXb6Kus7OOBeNGbEQd3rUdRm3aoPbpU4QM1rxxpZajYQDGp7I0x1wFZZ6Joay+\nN5ekaoIgCF2iUhnQL774AgcOHIDsKTweD/b29oiOjoaHh4fGhWyOUKks3dOcy5Rlp53BK2NHso6V\nRMVCOHKMjiVSHl3oXdVSn7ooP6oJmiqnPt95ZZ5JSyvRKqY5f9c0d0j3+oH0rj+0VQZUaQfg+PHj\nmDNnDqysrDBjxgy89NJLsLKyQk5ODnbt2oXTp0+jW7duSE5OhpGRkcYFbW7QL4nuaZZfUHV1sJk4\nDmanUuSGngwaAt6uvYCBV9AyVL03B+Nz9Yb18JfIVQDqdyrOx0VhwUcfN3q+oeq+pUN61x+ke/1A\netcfeu8DsGfPHhgZGSEqKgq9evViPnd1dUVQUBDmz5+PpKQknD9/HgEB7A2KCIJ4Dn/XTljPmck6\nlp9+BzwHBx1L1LJoFqEflKtAEARB6AGll+pv3ryJvn37Shn/koSHh0MkEuHGjRsaE44gWiLGt7Ph\n1M6a1fgv3nMQeU9KISLjv3XQkKsgiaHmKhAEQRAtB6V3AEpKSuDq6so53rVrVwBAaWlp06UiiJaI\nUAjb4EEw/fu63FDlBzNQseJbPQhF6BN1EmUlk4aNaqrx9pshcOnM/d1MEARBELIo7QDU1dXB3Nyc\nc9zMzIw5jiAIacw3b0DbpYvkPq+zs0Phpb8hamulB6kIfaNqmUq2BmexiQkICQqEp7uXLkUnCIIg\nmjHUB4AgtIjJjWuw+28g61jR8VTU+PXVsUSEoaFKrgJbgzP/kFAcjI/CPHIACIIgCCUhB4AgtEFF\nBexf9oPx40fyQ19+hcqPP9eDUK0bbdXb12kdf46kYZGpmXauRxAEQbRIVHIAZP/wqHsMQbRkLJd9\nBYtN6+U+r/H0QlFKGsDn60Gq1g1b6Ezivl0A0CRjXVvzcsLR4IxXLdT8tQiCIIgWi9J9ALy8vGBk\nZKSwxn9tbS14PB7nMX///bd6UjZDqFau7tF3nWLT82dhO2YY61jhuYuodW+ZTfL0rXdlaGq9fV3P\nywVb47DzlAOgc5rDO99SId3rB9K7/tB7HwCgPsG3sSRfkUhEicBEq4JXVAgHL1fwWHzpsu9+wLPJ\n4XqQipBCW/X2dVzHXzZpmFdTjckNVYDojzJBEAShLEo7AL/++qs25SCI5odIBKsPp6PN7l1yQ8LA\nIJTsPgAYG+tBMEIOjtCZJtfb19a8CpBMGpZclSMIgiAIZVHaAejUqZM25SCIZoXZ0cOwmTKBdazg\nigB1nTrrWCJCEerU29fnvARBEAShTagKEEGogNHDB3DozR5rXRIVC+HIMTqWiFAGVevt63tegiAI\ngtAm5AAQhDLU1cFmwliYpcqHwj17YxzKtkQBVAHLoFGl3r4hzEsQBEEQ2oIcAIJoBP6unbCeM5N1\nLD/9DkQODjqWiCAIgiAIQn3IASAIDoxvZ8P+5T6sY8V7k1Ddf4BuBSIIgiAIgtAA3EX9CaK1IhTC\nbuCrrMZ/5bSZyHtSSsY/QRAEQRDNFtoBIAgJzDf9gLbLFst9XufggIILN4C2bfUgFUEQBEEQhOYg\nB4AgAJhcvwq7wf1Zx4pOnEaNL3soEEEQBEEQRHODHACidVNRAfv/84Xxk8dyQ+ULl+DpnM/0IBRB\nEARBEIT2IAeAaLVYfr0I/9/evcflfP5/AH996iYdFIrJYZj1ve+iKHKaYy2U5JQkRTNjzmy2MWwz\n5rAxRvY1h585G0mI5aycVjKnsVg5VU7RQceVun5/+N733O47QnXPfb+ej4fH99t1fe7rfnfdt7ne\nn+vwMftxsUb5I3sHpO+LAkxMdBAVERERUfliAkAGp9Lxo6jWp4fWurQTp1H0tl0FR0RERERUcZgA\nkMGQ0tNgI2+otS5rwWLkBwVXaDxEREREusBjQEn/CYGqo4drHfwXdOyC1NvpHPwTERGRweAMAOm1\nynsiYBUcoLXuwdk/UVynbgVHRERERKRbTABILxndvgXrZgqtdZn/tx4F3j4VHBERERHRvwOXAJF+\nKS6GRb9eWgf/+X37I/VuJgf/REREZNA4A0B6o/L6tcC4Uaikpe5+/DWIGtYVHhMRERHRvw0TAHrt\nGSf+hRptW2ity9i2C4UdOlVwRERERET/XlwCRK+vggJU79xO6+A/d8RopN57yME/ERER0VM4A0Cv\nJdMli2Ax8wvNilq1kB53Ho+qmFV8UERERESvASYA9FqRnT+L6u921Fr38GA0LN06AOk5wKPiCo6M\niIiI6PXABOAJRUVFWL16NXbu3IkbN27A2NgYTZo0wXvvvQc3Nzddh2fYcnJg7eoEo/upGlXZ075C\n3riPIJNxRRsRERHR83DE9ISJEydi/vz5aNSoEWbMmIHJkycjPz8fo0aNwi+//KLr8AyW+VfTULOR\nrcbg/5G9A1KT7yNv3Ec6ioyIiIjo9cMZgP85cOAA9u3bBx8fH3z77beq8l69esHHxwdz585F165d\nUb16dR1GaVgqHYtGtb7eWuvSTpxG0dt2FRwRERER0euPMwD/ExoaCkmSEBwcrFZuYmKCAQMGID8/\nH7t379ZNcAZGSnuAmrUstQ7+s75fgtR7Dzn4JyIiInpJTAD+59y5czAxMYGDg4NGnYuLC4QQOHPm\njA4iMyBCoOqoD2CjaKRRVdCxC1JvpyM/cIgOAiMiIiLSH1wCBCAnJwfp6elo0KCB1npbW1sAwM2b\nNysyLINSefcuWL03SGvdg7N/orhO3QqOiIiIiEg/MQHA4wQAAMzMtJ8dryzPzs6usJgMhdHtW7Bu\nptBal/l/61Hg7VPBERERERHpNyYAACRJema9EOKF2zQ25uqqZyoqgoVvb1SKOqxR9befP3L/uwKQ\npBf6gir7nH1fsdjvusO+1w32u+6w73WD/a475dXnTAAAWFhYAAByc3O11itnCKpWrVrqNi0tTV89\nMH21ahUwbJj2uvv3YWJtDZNXaJ59rxvsd91h3+sG+1132Pe6wX7XH0wAAJiamsLGxgZ37tyBEEJj\nRiA5ORkA0KiR5ubUkjx8mIeiIj6N9klGCX/BqpWz1rqsHbvxqEOnxz+k57xU+8bGRrC0NGXfVzD2\nu+6w73WD/a477HvdYL/rjrLvyxoTgP9p0aIF9u3bh3PnzqF58+ZqdTExMZAkCa6urqVur6ioGI8e\n8S8JAKCgANU9OkH250WNqtwPxyDn69mPfyij/mLf6wb7XXfY97rBftcd9r1usN/1Bxdz/Y+/vz+E\nEFi1apVaeVZWFrZs2YJq1arB09NTR9G9vkwXL0TNejYag/9im5pIvXrrn8E/EREREVUIzgD8T9u2\nbeHr64tt27Zh1KhR6Nq1K3JycrB582akpaVh4cKFMDc313WYrw3ZuTOo7tFJa136/ig8aqZ9KRAR\nERERlS8mAE+YNWsWHBwcsHXrVnz11VeoXLkymjVrhi+//BItW7bUdXivh+xsWLdygtH9+5pV02Yg\nb9xEHQRFREREREpMAJ4SEBCAgIAAXYfxWjL/4nOYLQvRKH/k0BTp+44AlStXfFBEREREpIYJAL2y\nSkejUK1fT611aSdPo6ixXQVHREREREQlYQJAL01KewAbhfajUbMWhiB/0OAKjoiIiIiInoenANGL\nEwJVRw7TOvgv6OyG1DsZHPwTERER/UtxBoBeSOWInbAaGqi17sG5eBTb1qngiIiIiIjoRTABoFIx\nupUC6+b2WusyV29AQQ/tewCIiIiI6N+FS4Doucy/mqZ18J/vNxCpdzM5+CciIiJ6jXAGgJ5JSk2F\n2Y+LNcrvX74OUb2GDiIiIiIiolfBGQB6JmFhgaJ69VU/Z2zfjdR7Dzn4JyIiInpNcQaAns3UFOlH\nTkDKzUVxbVtdR0NEREREr4gJAD2XsLSCsLTSdRhEREREVAa4BIiIiIiIyIAwASAiIiIiMiBMAIiI\niIiIDAgTACIiIiIiA8IEgIiIiIjIgDABICIiIiIyIEwAiIiIiIgMCBMAIiIiIiIDwgSAiIiIiMiA\nMAEgIiIiIjIgTACIiIiIiAwIEwAiIiIiIgPCBICIiIiIyIAwASAiIiIiMiBMAIiIiIiIDAgTACIi\nIiIiA8IEgIiIiIjIgDABICIiIiIyIEwAiIiIiIgMCBMAIiIiIiIDwgSAiIiIiMiAMAEgIiIiIjIg\nTACIiIiIiAwIEwAiIiIiIgPCBICIiIiIyIAwASAiIiIiMiBMAIiIiIiIDAgTACIiIiIiA8IEgIiI\niIjIgDABICIiIiIyIEwAiIiIiIgMCBMAIiIiIiIDwgSAiIiIiMiAMAEgIiIiIjIgTACIiIiIiAwI\nEwAiIiIiIgOi9wnAuXPn0K1bNygUCoSHh5d4XW5uLhYuXIju3bvD0dERrVq1wgcffIC4uLgKjJaI\niIiIqHzpbQLw6NEjLFy4EAEBAbh//z4kSXrmtUOHDsWKFSvg6uqK2bNnY9y4cUhOTkZwcDCioqIq\nMHIiIiIiovIj03UA5WXq1Kn49ddf8cknnyArKws//vhjideuX78eZ8+exciRIzF+/HhVuZeXFzw9\nPTF9+nQcPnwYxsbGFRE6EREREVG50dsZAGtra2zZsgXBwcHPvPsPANu2bYORkREGDx6sVl6jRg14\ne3sjNTUV0dHR5RkuEREREVGF0NsE4NNPP4VCoXjudbm5uUhISECDBg1QvXp1jd4o4tYAACAASURB\nVHoXFxcIIXDmzJnyCJOIiIiIqELpbQJQWsnJyRBCoE6dOlrrbW1tAQA3b96syLCIiIiIiMrFa7EH\nYMmSJc9dxgMAgwcPhqWl5Qu1nZOTAwAwNTXVWm9mZgYAyM7OfqF2iYiIiIj+jV6LBGDp0qWlSgB6\n9er1wgnA89oVQrxQe0rGxgY/uVLhlH3Ovq9Y7HfdYd/rBvtdd9j3usF+153y6vPXIgGIj48vt7Yt\nLCwAPN4LoI1yhqBq1aov1K6lpfYZBSp/7HvdYL/rDvteN9jvusO+1w32u/4w+FSuXr16MDIyQkpK\nitb65ORkAECjRo0qMiwiIiIionJh8AlAlSpV4ODggJs3byI1NVWjPiYmBpIkwdXVVQfRERERERGV\nLYNPAABgwIABEEJg1apVauUpKSmIjIxEw4YN0bZtWx1FR0RERERUdl6LPQAvKj8/H1FRUaqfExIS\nIITAhQsXVKf9mJqaomPHjgAAX19fREZGYs2aNcjMzETbtm2RlpaGNWvWAADmzJlT8b8EEREREVE5\nkMTLHnPzL5aSkgJ3d/dnnvBTp04dHDx4UPVzYWEhVq1ahV27diEpKQnm5uZwdXXF6NGjIZfLKyJs\nIiIiIqJyp5cJABERERERacc9AEREREREBoQJABERERGRAWECQERERERkQJgAEBEREREZECYARERE\nREQGRC+fA6ALKSkpWL16NY4fP47bt2/D2NgYdnZ28PHxgb+/P4yMmGtVhOPHj+P999+HJEn4888/\ndR2O3goJCUFISEiJ9TY2Njh27FgFRmRYzpw5g2XLluHs2bMoKChAvXr10KtXL9V3n8qWm5sbbt26\n9cxr+vTpw2fGlKNbt27hv//9L44fP4579+7BxMQEcrkcffv2ha+vr67D00uZmZlYtmwZDh06hFu3\nbsHMzAwtWrTAuHHjoFAodB2e3gkLC8M333yDnJwcHDp0CHXq1NG4Jjk5GSEhIThx4gTS0tJQvXp1\ntG/fHmPGjEHdunVf6P2YAJSBy5cvY/DgwSgqKsLAgQNhZ2eH9PR0hIaG4uuvv8b58+cxd+5cXYep\n93JycjB9+nQOgCqIJEkYO3Ys3n77bY06ExMTHURkGPbv348JEyagQYMGGDduHMzMzBAREYH58+cj\nMTGRg9ByMGPGDOTl5Wmti4mJwcaNG/m8mHJ048YN+Pn5oaCgAAMGDIBCoUBWVhZ27dqFadOm4eLF\ni/jyyy91HaZeSU9Ph5+fH5KTk+Hp6YkPPvgA2dnZWLlyJQYMGIA1a9agefPmug5TL6SlpWH69Ok4\nfPgwqlSpUuIYJikpCX5+figsLERwcDAaNWqE69evY/Xq1Th69Ci2bt0KW1vb0r+xoFc2cOBAoVAo\nxOnTp9XKs7KyRPv27YVCoRA3b97UUXSGY/r06cLZ2Vl4enoKhUKh63D02pIlS4RCoRCxsbG6DsWg\nZGRkiFatWonu3buL3NxcVXlxcbEICgoSPj4+4v79+zqM0LDk5uYKNzc30bt3b1FUVKTrcPTWZ599\nJhQKhdiyZYtaeUFBgXB3dxcKhUIkJyfrKDr99PXXXwuFQiHmz5+vVp6cnCxcXFyEt7e3jiLTP507\ndxYdOnQQx44dE4GBgUKhUIiUlBSN60aOHCkUCoU4ceKEWvnx48eFXC4X48ePf6H35bqUMuDl5YVP\nPvkELi4uauUWFhaqspSUFF2EZjBOnjyJrVu34sMPP4S1tbWuwyEqF9u3b8fDhw8xcuRImJqaqsol\nScLatWuxY8cOfv8r0IIFC3Dnzh3MnDmTyzzLUVJSEgCgRYsWauWVKlWCo6Oj2jVUNg4fPgwACA4O\nViuvW7cu+vbti4SEBFy4cEEHkekfFxcX7Ny5E++8806J16SlpSEqKgp2dnZo27atWl27du1gZ2eH\nAwcOIDMzs9Tvy/9ilYHAwEAMHTpUo1wIgevXr0Mmk6Fx48Y6iMww5ObmYurUqWjSpAmGDRum63AM\n0qNHj1BQUKDrMPTe8ePHAQAdO3ZUlf3999+6CsegXbp0CRs3bsTAgQPRtGlTXYej1/7zn/8AAK5d\nu6ZRl5SUBGNjY7z11lsVHZZeu3fvHqpUqaL1hoKDgwOEEDh79qwOItM/CxYsQLVq1Z55zYULF1BU\nVARnZ2et9c7OzigqKnqhpIx7AMpYTk4O/v77byQmJmLlypVITEzElClTULNmTV2Hpre+++47pKam\nYtmyZbwLV4GEEIiMjMTs2bMRHx8PIQRq1aqFnj17YuzYsahSpYquQ9Q7CQkJsLS0RG5uLr744gtE\nR0cjPz8f1apVg7e3Nz766COYmZnpOkyDsGDBAlhYWGDs2LG6DkXvDR8+HIcOHcI333wDY2NjODk5\nIScnB6Ghobh48SKGDRuGWrVq6TpMvWJhYYHMzEz8/fffGnu6lD9zZUPFUc5wadsY/GT5zZs3S90m\nE4AyNmjQIMTHxwMA7OzssHLlSrRp00bHUemvmJgYbN68GaNHj1bdJaKKIUkSDhw4gKCgIHz00Ue4\nc+cOtm7dilWrVuH333/H+vXrYWxsrOsw9UpGRgYqV66MwYMHo3379li4cCGys7Oxfft2rF+/Hpcu\nXcKGDRu4Eb6cnTp1CsePH8eYMWNgZWWl63D0nq2tLbZs2YJJkybhww8/VJVXqVIFn332mcYyFXp1\nbdq0wd69e7Fr1y6NU5bCw8MhSRJyc3N1FJ3hycnJgSRJaks/n2RqagohBLKzs0vdJhOAMvbNN98g\nMzMTSUlJ2LlzJ95//3188MEHmDBhgq5D0zv5+fmYOnUq/vOf/6j9o0Dlr2fPnnB0dISLiwuqVq2q\nKvf19UVgYCB+//137NixA3379tVhlPqnoKAA+fn5CA4OxsiRI1XlPXv2xMCBA3HmzBns3bsX3bt3\n12GU+m/x4sUwMTFBYGCgrkMxCMnJyRg5ciTu3buHiRMnQqFQoLCwEAcOHMDcuXORkpKCqVOn6jpM\nvTJx4kQcPHgQs2fPBgB07twZd+/exerVq3H9+nUAj/dgUMV43k0dIcQLt8kEoIw1adJE9f/9/Pww\nduxY/PTTT3B0dIS7u7sOI9M/8+fPx507d/DLL79AJuNXuSI1aNAADRo00CiXJAnvvfceTp8+jaNH\njzIBKGPm5ubIysrS2q++vr44c+YMYmJimACUo6tXr+LUqVPo0aPHc9ftUtmYMmUKrl69itDQUNjb\n26vK3333XchkMqxfvx5t2rThv7FlqEGDBli2bBmmT5+O6dOnQwgBmUwGDw8PfPXVVxg6dCi//xXI\n3NwcQogSZ12UMwRP3pB7Hi6YLkeSJKF///4QQiAqKkrX4eiVuLg4bNiwAf3794eNjQ3u3r2Lu3fv\n4s6dOygsLAQAVRlVLOV+l6ysLB1Hon/q1asHAKrv+JPY7xVj9+7dkCQJXbt21XUoBiEvLw9xcXGo\nX7++2uBfyd3dHUIInDhxQgfR6bd33nkHhw4dQkREBLZs2YJjx45h4cKFyMjIAACtz4Ch8qG84VbS\nAwmTk5MBAI0aNSp1m7xt+opu376NgIAANGjQAD///LNGvfJIppeZnqGS/fbbbwCAzZs3Y9OmTRr1\nkiShU6dOfCJwOSgoKMCRI0fw6NEjeHl5adQnJCQAwAs/lZCer2XLlvjzzz9x6dIlVTKgpPyHoXbt\n2roIzWBERUVBkiS0a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"text/plain": [ "" ] }, "metadata": {}, "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()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Normal Equations** alternative:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 9.102\n", "Intercept: -34.671\n" ] } ], "source": [ "# adding a column vector of \"ones\"\n", "Xb = np.hstack((np.ones((X.shape[0], 1)), X))\n", "w = np.zeros(X.shape[1])\n", "z = np.linalg.inv(np.dot(Xb.T, Xb))\n", "w = np.dot(z, np.dot(Xb.T, y))\n", "\n", "print('Slope: %.3f' % w[1])\n", "print('Intercept: %.3f' % w[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Statsmodels\n", "Python's `statsmodels` library has a built-in linear fit function. Note that this will give a line of best fit; whether or not the relationship it shows is significant is for you to determine. The output will also have some statistics about the model, such as R-squared and the F value, which may help you quantify how good the fit actually is." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import libraries\n", "import numpy as np\n", "from statsmodels import regression\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "import math" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def linreg(X,Y):\n", " # Running the linear regression\n", " X = sm.add_constant(X)\n", " model = regression.linear_model.OLS(Y, X).fit()\n", " a = model.params[0]\n", " b = model.params[1]\n", " X = X[:, 1]\n", "\n", " # Return summary of the regression and plot results\n", " X2 = np.linspace(X.min(), X.max(), 100)\n", " Y_hat = X2 * b + a\n", " plt.scatter(X, Y, alpha=0.3) # Plot the raw data\n", " plt.plot(X2, Y_hat, 'r', alpha=0.9); # Add the regression line, colored in red\n", " plt.xlabel('X Value')\n", " plt.ylabel('Y Value')\n", " return model.summary()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: y R-squared: 0.484
Model: OLS Adj. R-squared: 0.483
Method: Least Squares F-statistic: 471.8
Date: Thu, 19 Jan 2017 Prob (F-statistic): 2.49e-74
Time: 07:51:49 Log-Likelihood: -550.82
No. Observations: 506 AIC: 1106.
Df Residuals: 504 BIC: 1114.
Df Model: 1
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [95.0% Conf. Int.]
const -5.638e-16 0.032 -1.76e-14 1.000 -0.063 0.063
x1 0.6954 0.032 21.722 0.000 0.632 0.758
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 102.585 Durbin-Watson: 0.684
Prob(Omnibus): 0.000 Jarque-Bera (JB): 612.449
Skew: 0.726 Prob(JB): 1.02e-133
Kurtosis: 8.190 Cond. No. 1.00
" ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.484\n", "Model: OLS Adj. R-squared: 0.483\n", "Method: Least Squares F-statistic: 471.8\n", "Date: Thu, 19 Jan 2017 Prob (F-statistic): 2.49e-74\n", "Time: 07:51:49 Log-Likelihood: -550.82\n", "No. Observations: 506 AIC: 1106.\n", "Df Residuals: 504 BIC: 1114.\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const -5.638e-16 0.032 -1.76e-14 1.000 -0.063 0.063\n", "x1 0.6954 0.032 21.722 0.000 0.632 0.758\n", "==============================================================================\n", "Omnibus: 102.585 Durbin-Watson: 0.684\n", "Prob(Omnibus): 0.000 Jarque-Bera (JB): 612.449\n", "Skew: 0.726 Prob(JB): 1.02e-133\n", "Kurtosis: 8.190 Cond. No. 1.00\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iXnsOi/Qkja5wEREZabSpwdDoXMPrckU46aRSBvrH3M4/C6fTxdy5sH37ambN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\nrVq1agUAaN++PXr27ClajL60a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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "linreg(X_std, y_std)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting a robust regression model using RANSAC" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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FmDEvcPfd/SrcliIiYhvlHdJT2ipBZWE6cxqP50bjsvRrAAw7O9KeGU3amBeg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Onyu3pU7dp1GWAZTECAN1FR8f8sA5qL79stVW7Jtng4lnqUpk3vyfH12Q1V+vnQxmyv+bN5o1bI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\nj4/nhx9+oH379tnGEBsby48//ojJZMrQ/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import RANSACRegressor\n", "\n", "if Version(sklearn_version) < '0.18':\n", " ransac = RANSACRegressor(LinearRegression(), \n", " max_trials=100, \n", " min_samples=50, \n", " residual_metric=lambda x: np.sum(np.abs(x), axis=1), \n", " residual_threshold=5.0, \n", " random_state=0)\n", "else:\n", " ransac = RANSACRegressor(LinearRegression(), \n", " max_trials=100, \n", " min_samples=50, \n", " loss='absolute_loss', \n", " residual_threshold=5.0, \n", " random_state=0)\n", "\n", "\n", "ransac.fit(X, y)\n", "inlier_mask = ransac.inlier_mask_\n", "outlier_mask = np.logical_not(inlier_mask)\n", "\n", "line_X = np.arange(3, 10, 1)\n", "line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n", "plt.scatter(X[inlier_mask], y[inlier_mask],\n", " c='blue', marker='o', label='Inliers')\n", "plt.scatter(X[outlier_mask], y[outlier_mask],\n", " c='lightgreen', marker='s', label='Outliers')\n", "plt.plot(line_X, line_y_ransac, color='red') \n", "plt.xlabel('Average number of rooms [RM]')\n", "plt.ylabel('Price in $1000\\'s [MEDV]')\n", "plt.legend(loc='upper left')\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 10.735\n", "Intercept: -44.089\n" ] } ], "source": [ "print('Slope: %.3f' % ransac.estimator_.coef_[0])\n", "print('Intercept: %.3f' % ransac.estimator_.intercept_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluating and reporting results\n", "\n", "The regression model relies on several assumptions:\n", "* The independent variable is not random.\n", "* The variance of the error term is constant across observations. This is important for evaluating the goodness of the fit.\n", "* The errors are not autocorrelated. The Durbin-Watson statistic detects this; if it is close to 2, there is no autocorrelation.\n", "* The errors are normally distributed. If this does not hold, we cannot use some of the statistics, such as the F-test.\n", "\n", "If we confirm that the necessary assumptions of the regression model are satisfied, we can safely use the statistics reported to analyze the fit. For example, the $R^2$ value tells us the fraction of the total variation of $Y$ that is explained by the model.\n", "\n", "When making a prediction based on the model, it's useful to report not only a single value but a confidence interval. The linear regression reports 95% confidence intervals for the regression parameters, and we can visualize what this means using the `seaborn` library, which plots the regression line and highlights the 95% (by default) confidence interval for the regression line:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Z7Aon8JMZAy7VB9U7+45LtuPg7NUofjY0jBvBdNXXtPpceP+uPty1rQfnr8dw\n+lqs7PlgTMPZazHs3Dj7ov8z4Yn7pcVwSkREt7xCIB0OpXHqSgSabkEUBQydD6GnzYNPPrj1ltov\nOhuO40yewM9BcXuhemcfvi3bwbuXwnhlaBjj0WzV13S0urF/zwD2bu4q7ikNxqu/ttbjc8FZ0ubB\ncEpERLe00gNMGc1APKVDkUV0tuXD1kg4Paf9oqG4hs6AWrGsH4pXb6m5HMUTCYSiaYiyCtU7+8NO\npmVj6HwIB48OI5LIVX3NqnYPDuwdwG0bK1uMdgc8ACr3ouYfnx/OkjYfhlMiIrqllR5gKizFG6aN\nrGbC5c/Pls5lv2hvhxeCIMCrloecroCKI2cnlnV5qXQmg3gygXjamlNZKN2w8PaZCfz8+CgSab3q\na1Z3+/CBvQPYOk2L0a1r2/DulQiCsZtBfz4n9DlL2twYTomI6JZWGjwV+eZ+ydJC74VT4bOxa7AT\nR84Fi4HXcRy4ZAk//MVV5AwLHrcMQRCWVXmpXC6HUDQOiAq6ezqg6BlYVo2eoSWyORNvnBzHa++O\nIqNV73u/sb8VB/YOYLB/5hajsizh0fs34uy1GILx7JxP6BuGAcvQ4HUrnCVtYgynREQrBAu/z09p\n8PS4ZWS0yeX4yX2O/Z0+7Bqc/WEbRZbw+K9swQ9ev4JrE0lEkzrSWQPJjAEgfziqM6Aui/JSpmki\nGIoiZwlQPX5I0uxmF1NZA6+dGMUbJ8eRM6yqr9m2th0H9vbPucWoLEtzOvyU796UgUvG5CxpD2dJ\nmxzDKRHRCsDC7/NXOtMpCAI6AypUl4TbNnRi64bOOZ/WN0wL//qTc2V7WB2g+A6GaSOjGRAEAa8c\nHS7eQ7Xfp6X6gcO2bYTCMWRyZr4slGt2339sssXo4RotRgUBuH1jJ/bv6Udfp2+xb7uMqeswzRy8\nbgWrV7VxlnQZYTglIloBbvXC7wuhyBKeeGhbRQj0qAra231z7vxTbQ+rYztwBEAUBDiOg3jaKIbV\nH/ziatUfJJbiB458WagYkhl9sizU7E7gh+JZHDo6gqHzoaotRiVRwN4t3bh/dx+6FnB4aSaO4yCX\nzUCRgYBPhZ+zpMsSwykR0QpQ68DOSi/8vlgUWVq0EF9tD6sgFP4Hk604HbgUCR53/p/haj9INPoH\njngigVgyC0nxzPoE/mg4jVeGRvDu5dotRu/a3oP37epDm9+9yHd8k6HnYFs6PG4Fq3vbIcuMN8sZ\nf/eIiFZfbOa6AAAgAElEQVSAWgd25nKQh8qX0fu7/Thw59o5v0etPaytPgWCIEA38uWlvGr+n+CM\nZsAwbRw5Gyxbtm/UDxzpdAbheBKi6J71CfyrY0n89MgNnJlSEL/ArUi497Ze3HdbL/ye+iynF2ZJ\nXTLQ5vOgpaW9LtehxmM4JSJaAaaeEAeAvk7vnA7y3OqmLqML54I4cSmCxx/YPKc9p7X2sO5c34H+\nLh9My8aP37oOx3HKOkldHInjuR+dKS7b1/sHDk3TEIomYEGCW505lBqGif9+ZwzHzodq1mz1qTLe\ne3sf7tm5CqqrPhGjeOJe5SzpSsXfUSKiFaDWvslb8TDUfA8RVVtGvzGRxLELYezd1DXr68/0e2GY\nFo5dDOPicLwYTAuF+kuX7ev1A4dpmpgIRaFPnsCfKQjYjoOTl8L4z1evIJOrXg4q4HPh/bv7cOe2\nHrga0uOee0lXMoZTIqIVYjH3TS5XCzlEVFgudxwH2ZwJ03LgdkkYDqZw2/r2OQXe0t+LamH5iYe2\n4bkXz+DMtWgxmBbCVuE+FvsHDsuyEArHkNWtWZ3At2wHJy6FcXCaFqMtHgW/ctca7ClpMbqYCt2b\nPC6ZdUlvIQynRES0YizkEFFvh7d8qV3I1yQ9cSmMGxOpsoA228BrmBb+6YencXk0UWxl+vaZCfzu\nh7bjjq3dGC0JxIW9p+msAcO0oMjSovzAkT+BH0UyY0yewJ8+RJqWjaFzQRw8NlKzxagsiWjxKrhz\naxfu3La4PxCxexMxnBIR0YqxkENEuwY78ZPD14tL7QCgKCJiyRxiyVxZO9LZBt53zgVx8nKk7D1P\nXo7gnXNB7NvSjSPnghgJpYuBWJFFnLoaRaxk7+lCxOJxxJIaFLd3xrJQumHhrdMTePX4CBKTDQOm\nUmQRbX7XZBUCAT1ti3fgjt2bqIDhlIiIVoyFHCJSZAk71rcjmswVg2KLz4VoIgenSp2k2QTeYxfC\nZcEUyNc+PXYhjLt39OKJh7bhPw5dwhunxuFV5eLy/kJLRiWTSUQSGUiyOmNZqGzOxC9OjuH1E2M1\n95Ru7GuFIABZ3YQsibBsB12Bufe0n4p7SakahlMiIloxFnqIaKDLX5whFSaL5iuyWDWcLsapeUWW\n4PMoCFSpATqfklGZbBbhaAIQXTOWhUpmdLz+7ti0LUa3r8u3GF3T0wLTtHBuOIFU1oDfo2DLQOus\ne9pPxb2kNB2GUyIiWjEWeoioWrjd0N8Kx3bK9pzONvDu3tSJE5fys6eO48BxAEEU0OJVivtKF6Nk\nlKZpCMcSMG1xxrJQsVQOh46N4PCZCZhWZegutBg9sHeg7B5kWcLtGzsQCHgRj2dgVfna6XAvKc0W\nwykREa0oCzlEVBpuJ2IaNq1tx2CfH5Zpzyvw7tvSjaHzIVwaiSOeNgA4UGQRZ6/HijVNFzLbm8vl\nEI7GodsiVNWP6e4oFMvi4GSLUbvKTLAkCti3pRv37+5HZ2B2bUtng3tJaa4YTomIiEoUwq0NBxdH\nU/j/3ryGnjYPdg12zjn0KrKE3/3Q9uK+0tKyUaX7Suc626vrOkKRODI5G1eDOoLxLLoDWWxd21ax\n1D4SSuPg0WG8eymCanOdiiTiPZMtRqttL5gP7iWlhWA4JSIimsIwLfzvH5/FRCwL07LhOLMvHzXV\nTPtKC3VQh0NpaDkTw6EUAFQNqKZpIhSOQTMcyC4V//XmRdwIpmBaDmRJwPFLYXzswCBkWcLVsSRe\nGRrG2evVW4yqLgn37FzcFqOcJaXFwHBKREQrzny7RBW+9j8OXcKpqxGoLhkuRYSAhZ2gr7V/tCug\n4rkfnakoJ9UZUMvCsGVZCIaj0HQ7X0BfEXDsQhAXbsRhWjerAZy/HsN/v3MD18ZTuDyarHpNnyrj\nfbv6cPeOxWkxyllSWmwMp0REtKIspEtU4WvPXI0ikzOR1SzIkoDOgApBEKqeoC8Nwl2TezVDca0s\nFNfaVwrka6Zmc2ax5JRh2sjmTIyGMxg6N4F1XS5kdBOqxw/VezP0nbkaKwZTx3HgADANBwePjlb9\n3vItRvtx57buRWkxyllSqpeGhtPvf//7+NKXvoR0Oo2f/vSn6O/vb+TliYjoFrCQLlGFr1VkEZhs\njmRY+bDoVZWKGdDSIFzoLgWgGGZLQ/HUfaXb17XjX186h3gqB33yNH9hxlE3TAi2hjOXx7C6ZzM8\nXk/V+y1UAJju4HxnQMX+3f2L0mLUcRxomTSsXAYBr4uzpFQXDQmnkUgETz31FH72s59BVVV+kImI\nblELWW6frYV0iSq8xuOWkdHMYqklw7SrnqAvDcKls5+FMFsaikurCBRC7cWRODKaCdtxYNsORMGB\nqWfgEhRILa0YWNUFUawMlIZpQ5YFWDaqHnIC8lsJDuztx20bOiGKC/t319R1mGYOrT4X1vb3IZXy\nw5zSXIBosTQknD766KOwLAtf//rX8cwzz+Dw4cONuCwRETWRhSy313q/akF3IXVDC68RBAFdbR7k\nDAs53cLd23vwyP0bK+6zNPCWdoIq/XW1UFwItYUQrBsWdC0DATZ8Pj9aWr3oafdUdGDKGRbePj2B\nnx8fQbJGi9HV3T780r7V2Lq2bUGTQY7jIJfNQJGB1sm9pIoiTS7f6/N+X6KZNCSc7tu3D0899RTa\n2trwzDPPNOKSRETUZBay3D7VdEF3IXVDS79WEAC/R8HGvtaqwRTIH2jKaAYM04ZtO8Wl+Xzv+bxq\nobgQWAVBQIvbRsrKwRXwozvgxabVAaxq95aVhcrmTLz+7hhef3cM2RotRns7vHjw7jXYvHphobQw\nS+pVFazubYcs83gKNVZDPnF/8zd/04jLEBFRE1vIcvtUU4Ou4zi4OBzHcy+ewR1bu/H4r2zB6avR\nskNKL719fcatBLWK8IuoDHuGaWHofAgZ7eZyvu0AblmAx53/57VWKO7t8MLQNei6Bkn2oDXQDgB4\n7+192Lnx5uuTGR2vnRjFG6fGoRvVl9F3rG/H/j0DWNPjn83QVVU6SxrwqfBzLyktIf44REREDbEY\nbToLSgNt4SCSYdo4cy2K0UimbBZ1rlsJCntDZVlEe7sP0Wi66v7K4xfDGI9m0RlQi/tNZUnE3s1d\naPW5agbhXC6HTp+Fdr8b0Yyr+Hh3m1pcxo+lcjh0dASHz9ZuMbp7sAvvu70X0WQOF4djSKRyVYvw\nT6fsxP2qNp64p6bAcEpERA2xfV07fnL4Oiai2WKnpP4u36yW26cqDbSlB5EUWSybRW3zuzASSpfN\nAi6kXmmp0qV5r3oz1LX6XPjQvesr9sTuWBdAPJ6EZgKqN4DH/ocfZ6/FJrs75feXRlM6Dh4dwdEa\nLUYFARjsb8WH712HjlYV3zt0CcGYNvlsFO9eieDR+zdOG1BZl5Sa3bIMp9ICS2GsFIVx4HjcxDGp\nxDGpxDGpVO8x0U0L/+fl88gZNlyKBMO04XHL+ORDW+FR5z5bt3drvmf9SDidn1kU8m04PW45P4tq\n2ThzPQoAMAwbXW0elOaviZgGWZ7+e51pTPq7/RDOBas+bsPB//7xWYyE03BsG5qWRlerBx9/8Hb4\nVGnyfWXs2twFABgOpvGdg5fw7sVw1dP3ogB4VRl+j4KsbuHgsVFsW9eOUFwr+75CcQ3nhhO4fWNH\nxXsUZkl9qoLe/vZ5zZLyz04ljkmlhY7Fsgynra3V673dqjgelTgmlTgmlTgmleo1Jq8fH8FELD9j\nqsj5pWzLdnAtmMV9u9rn9Z7/6/E7cfj0OH5xYhRnrkbgVWWkswZyRr5mKBzA7ZKQ1SzkDAte9ebJ\neMtx4POrcCkzL4HXGpMDd67FiUsR3Ji42YlpdU8LDty5FodPj2MiloWlZ2GYJhSXB0ldwvVgFvu2\n3ZyxvXAjhh+9fgUnL4WrXsPrlrFtfQfGI2lIJeWgwgkNF0biZY8VpLIGAoH8zHJhL6ksAW3dLWht\n7V+UWVL+2anEMVk8yzKcJhJZWBbrq0mSiNZWD8ejBMekEsekEsekUr3H5MK1SFmbzZuPR7F9TWDe\n77t9TQCDfX584wencSOUQjSRg2XbEIBiEJUkAVrORDKtw7BsKJKII2cmMBZK41Mf3l6zW9JsxuTx\nBzbj2IUwxsIZ9HZ6sXtTJ9IpDe+eu4F4LALJ5YXkcsPBZBgfjWNjrw/nb8Tx0yM3pm0xet+uPrT7\n3Rg6F0RGM6C6ZYglwdIwbFh25Tyr36MgHE7A0jWobgmd7fnuTbYNxGJzP3w21zG51XBMKhXGZL6W\nZTi1LJvFf0twPCpxTCpxTCpxTCrVa0x62jyosoUSHS0uvHlybEFF+UUI+OSDW/Efhy4hHNNgO04x\nxJmWg1afjNXdflwZS8KrysWT9MOhNIbOBmfce5rNGRg6G6x6jyIE7N3UBWzKvzaXy2FkNA7VpUBR\nWwGg+H07joNM1sBXv3cCw8F01WsFfC7cv7sfuzd14L9ev4qTlyLI5gykMga0nIW2Fndx5nPrmgAc\nxynZcwq0eR1s7JLgkW0EOrqKr13s31P+2anEMVk8yzKcEhHR8lKt9uiqdg+GzocwHs0WH5ttUf5q\nBfh9HgWdAbV4cr/A41awvq8V0VRl4fiZyljphoVv/OA0hkM3w2S1ezRNE8FQFDlLgOrx4/ZBD84N\npxGMaXAcB9mchaxu4tDx6n3vuwIq9u/px+5N+RajJy+Fi6FTdcnQchZMy4amm/C4FXS3qdi5vgM7\n13fg1OUQRkMx9Hd4cO+utfD75l79gKiZ1D2cjoyM4MSJEwDyPzVGo/kN6gcPHkRHR37D9sDAAG67\n7bZ63woRES2Rar3lTcvGj9+6Xva62Zykr1WAf/dgJwRBKCvtpMgiPnjPWsiSiKHzoYr3mqmM1eHT\n4xgJl89ylt6jbdsIhWNIZHRcmdARSmjoDmSxdW0bHr5vPX781jW8ezmCbM6q+v59nV7s3zOA2zZ0\nlLUYDcZvBnZBENDW4oamm+gKePCebT3YurYNppmDBBt3bW1H4K51VducEi1HdQ+nb775Jj772c9W\nbMD+4he/WPz1r//6r+Mv//Iv630rRES0hEp7ywPAD39xpfjr/OxiPlAeORucdnn/nXNBXByOF8On\nxy1jNJzB7sFO9HV6MRrOFEs7rWrP73sbDqXgVkRoulX892g2XaOGg6mqj4+G0whHIkhmDIiyih++\nPV6c6bSdCH46NIxUxkAyW73F6NpVfnxg7wC2rKnezak74AEQLf5/QRDgcSu4c3MnBnvdkOwcOtt9\n8Hh4CIdWnrqH00ceeQSPPPJIvS9DRETLTGHWsrSIPgBcHInjuR+dqbq8b5gWXnzjGuIlS/QZzURn\nQEUorpXNznYFVAydD+HHb13P7/fUDDiOgMGBVuzd3IV9W7pn3D4w0F3ZdUnXMhDtLDSrC6pXLS7B\n27aDtGYglTWq7q8FgM2rA9i/ZwAb+lqmPTW/dW0b3r0SKQZe09DR2SLg9g0t6Olq5ywprWjcc0pE\nRA1Tule0K6BiVbsHl0cTZUX0CzOh1Zb3j18MQ9PNKe9pI5sz0dvhLZudPXJ2AuPRbEX4vTyagCgK\n2Lele9p7nIhlsX6gDb3tXoxGMsV2o71d7di1ZQ0kKR9sb4RSiKf1yfBb/fvesb4dB/YMYPUsW4zK\nsoRH3rceJy6MIpbUsL6/F+/ZuXrOh8WIliOGUyKiFaTaQaFmCTTV9oquavdgQ18rzl2PFYNpYUax\n2mGlsUgGHrdc1s8eyB8amrpEX/j60g5S+fuwq4Zfw7TwzrkgXnzjGjTdhFdVMHQ+hFaviDs3ehHJ\nqOjvaiu2CI0mNRw6Noq3z0zArlLSqdBidP+efqyaQ4vWXC4LwbHgU2U8eO/mYggmulUwnBIRrRC1\nDgrN5vR7I1TbKzoezWL72jYE/O6K11c7rNTb4a156Gnq91j4emNKeR9lsjNUafgtjN3F4Xhxy0Aq\nk0ObB0gkBGxfO4hfuS0ffidiWRw6Ooyj58NVW4wCQGerG//zgS3o6fDNamwsy4KpZ+GWRXS3+eDl\nXlK6hTGcEhGtEMcvhsuCKbB4feQXarq9oqpbKh5kKqh1WKm0JFXh0FNfp7fqEn3htRnt5qGkQigG\nysNvYewM04ZjW9BzGQiiCK+nDapbRjCexXAojYNDwzh5OVK1xagsCRjo8mHflm7s3dw1bX/7Ai2b\nhiQ68HtcCHR2cS8pERhOiYhWjFo1O2eq5bmYam0rqLVXNKPli8v3dnjQ5nPB45bR3+WbdjvC7sFO\nFNLh7k2dNQ82FcpXlS7VF7YNTA2/Y5EMHNuGpadh6AYUtw+CKMAyHeQECycuRfDS2zeq3o/qknDf\nbb2477beYmCedowMA7aZg1sW0dfVCre7ctaY6FbGcEpEtELUqtk5Uy3PxTLdtoJqe0XzJ+gtnLoa\nLSvv9ODdlUv0td4fF1HzYBOQD6h37+jFvi3dNffiOo4Dj2Qgk0nB52uBCQOGacG2HaQ0A2a6+tK9\nLAn4wN4B3HtbL1TX9P+cOo6DnJaFIjlo8bgQaO1elB73RCsRwykR0QpRrQvTbGp5ztfUWVLTsmtu\nK6i2V9S2HbgUqSykjYTS+I9Dl+DzKOjt8GL7unacvhrFWCSDdNbASChd9vrZbluYWmMVmGwME4sj\nkc5hcE03Bq5lMBHNwu2SoJuFvvWVwVQSBfg9CjxuCVrOxBsnx9Ad8BQPSpWNkWHAMjR43QoGevI9\n7oloegynREQrRLUuTPU6rV9tFtO2HQgCKmYExyIZPHDXmoq9ooXX539tI5bKIa1ZGI9k0NPugSAI\n+PZPL8Cr5pfi46kcDNNGZ0Atu8Zsti2UBulV7R6s7ZKRzZmQFA9Ubwss28ZgXysujySQyFQvnC9L\nhVCa/6czlszh6MUwWrwuAFG8eyWCR+/fCEkSi7OkAZ8bLf4ezpISzQHDKRHRClJthrAeqh2+Kuwp\nnbrvslB/tFb7Utu2MRLKTM5UAjnbwUgogza/C8mMAUHIv6cii8hoJrI5s+wa021bmFoeSnRysC0L\nvd3t+NgHtsCBgDdOjeHnx0YRTeaqvkd/lw+DfS24MJIohsxszoBp2VDdN4P/eDiF42ev485tvZwl\nJVoAhlMiIprR1CX84VBlW0+PW64oQl+6rWBqcDZMC8cuhnHqcqSsTqiA/KxqarL1Z2GPqsctI62Z\nxX2riixiQ19rzW0LpeWhQuEYbMuE6vGho82PYNzAfxy6jAvD8ZotRtf3tuDD79+I1Z0e6LqFxKFL\nNzs2WQ5kSYRbkWDksoBjQZZl2JIHPd0dsxtUIqqK4ZSIblm6aWHobLApC9Y3k2pL+G5FhOM4ZcvV\ngiDgobvXQJbEWY1pYTb1//nmEaQ1E47jwHZu7vLML/sLxbqkBZI4uyXy4xfDuDoSQiKehijJkF0e\nWI6DaFJDzrBrbgfYvDqAA3sHsGl1AIGAF/F4BrIs4dH7N+LstRiC8SxSKQ1nr43DNiy4VQ8kKf/P\naV/n7OqaElFtDKdEdEvSDQvf+MFpDIfSxceaqWB9M6m+hG9BdUnIGTcL3Bfqjc5l/BRZws717RiP\nZGBa5dOujuOgdbK8FJDv9CQAaGtxF0PxeDRb9UBUKpXGqfM3YDsivP5WJNM6LDsffk29vCh/wc71\nHdi/tx+ru6u3GJUkEYN9HmxbrUJ1K/juz0WMRbJl33+9Dp8R3UoYTlewZm5jSLTUDp8ex0g4XfZY\nsxSsbzbVZhgFQcDO9R3o7/It+O+YD9+3Hq+9OwYjY0NAfuZUEICA341ff/8GqC4ZY5EMhoNpDIdS\nZZ2hPG657P7SmQwisSQcUUF/bzdODueg6TrM6nkUogDs3tSF+/f0Y1V79b2rpmkil81AdUno62op\n1iX91Adb+HcsUR0wnK5Qzd7GkGipDQcr90wCjS1Yv1zUOnDU3+VblCDvVRUc2NuPg0Mj0E0bLllE\nwO+CKIqIpXR86N5+AMCbp8Zw4lK4rB1pRjPRFVChaRpC0QRsSHCpLZiIZvHu5Qgmotlal0Vnqxu/\n/atb0V0jlOo5DaZmo0UFejsqT9w36vAZ0a2G4XSFauY2hkTNYKDG0m2jCtbX20wrJ1Of37u1diH7\nxaqfOt09re1pQXurWvE1M/1+mKaOUDiMsTYZqurHcDCFV4bO4dSV6i1GgfxsaYtXgdslYyKaLQun\njuMgl03DLQvo7mzFQH8XotE0zFpTr0S06BhOV6hmaGNI1Mzu3L4KB49cL9tzulL2DM60clLt+aHz\nIfyvx++s+n6LUT91pnuaTQAOxbViEf+cbsA2s1DdLiR1BaNRE68Mncb5G/Ga9yAK+f8KgoBCcYBg\nPD+zapomTD0Lr6pgdW8HZFmGLLPPPdFSYDhdoZa6jSFRs3MpEj714e0r8rT+TCsn1Z4fCadx+PQ4\ntq8JVH3PhS5hz3RPswnAvR1eOI4NwczCLQqQ/AHopo2h86Fp+967ZBGiCKSzZvFxWcov0Qc8Aoxc\nCh6XjCspYPx6Ar0dJnYNdjKcEi0RhtMVqtFtDImWI9cK3TM408pJreeHg6ma4bTe9zQTy7LQ1yrA\n77JhmF7kDBuxeA6GVX25vc3vwv17+rF7YydeeP0KJqJZ5HQbpmVDEgVI0NHuEXDf7X1QFDf+/nvH\nMRHNFg9ZHTkXxKc/smPe3y8RzR/D6QrVyDaGRMuRblh4+8wERoKpFffnY6aVk1rP19qHOx9T95d2\nBSr3k5beS61l/0/+6hYkEkmkNQOSy4NtG/rw30du1GwxCgCKJGB1tw93bukuq086Gk4hlUzC55Wx\ndV0v9m5dBQD4m28fxZXRZPHrM1p+hvXYhTAe6G5d8FgQ0dwwnK5gPElKVJ1uWvjGvx/FldF4saPR\nSqpmMdPKSbXn+zt9uHP7KqRT2oKvXy1ormr3YFW7B+PR6nVBpy77O46Dy9fH8d9vidgx2I+jl2M4\ndOw8Yim95nUlMd9dCgCGQ2mcvRbDzo2dcGwTm/tc2DvYh7bAVojizeX6I2cnKk70G6aNbM7EWJh7\n9ImWAsMpEd1yjl0I48ZEsuyxlVTNYqaVk2rP793aDZciIT3De89Gtf2l49EsHnxP7e5Rpcv7OS0N\n0zQhyh4cu5LBj48cL7YyrfxeRUgiYJp2Wakn03IwPBHFttUq2nwetLS0V/36sUimogMVkA+ovZ3c\no0+0FBhOieiWMxauHsFWUjWLmVZOpj6/mId/ao1jKK7hQ/eur/pcb4cXei4DQ9chyh5oloR0OoeJ\nWK7q692KBL9XgW3b0A0blpCfAnccG6aehVuSsXnNegz01i6RVbiuxy0jo5ll9VN72j3YvYl79ImW\nAsMpEd1yejt9wPlQ5eOsZrEo5lotJJVKo8NjocWrYlgTkInrNWuUqq58KHVNzrg6jgiX7CBm6NC0\nLARBgMfrw47Bbty5vX/Gey1scQBQ7DzV0+7B//XoruI1iKixGE6J6Jaze1MnTlyK4MrozZqYK62a\nxVK2L55ttZBMNotILIlQ0sQbpyO4OJqBZVfGUlEA9mzuQn+nD++U/FDhOA5MXcP9u7rh9fTg/Eh+\nv+zuTZ3Yt6V7Vt8vD48SNR+GUyK65bhkCX/0G3vwyuFrK/K0/myK8E8NY4u5rD9T4NM0DeFYAqMR\nHb84HcGxCyFUyaSQJQF3bO3B/bv70N6iwjQtXA+mMB5Jw9SzEAGs7e/AA/fmv68PLOB+V8JeY6KV\nguGUiG5JLkXCXdt6YG7qWupbmbdas6OFA0mO4xSXqtNZA9995SJ8HhmnrkSh6VbxANFcanoWrjkc\nSkPLmVDdEga6/BXhvtD1Cbi5B3Xraj8SyRSuTGh4/VQYp65Eq15DEACvqmDdKj8+dM9ayIUlfNvE\nR97Tg2vjaSR1Ef1dfmxf197wWc+lnJUmuhUwnBIRNYG5Bp7pZkfHIvlgGo5rxUM+pmXjp+8Mw62I\n0E0bLkVCV0CFIAgYDWdw7EIYB9p809Z+zWhGsVh9NmfBcRzIsgivW8ILr13BB+9ZW1xOL70/yzKh\nZdLweT2QXW5cHE5U/Z4EAfB7FPhUBaIoIJbSceZqFJv6vVAkB+1+L/z+dmxcO/MYVBu7xQiVc70m\nEc0dwykR0RIoDUpdARVD50NlNUBnCjzTtQPt7fAWZ0wBwHac/LK540DTLTgOoNkmMpoJn0cBkO8O\n9dV/P4pLIzFkJ0+u/+Rw/mCQV1VgmBb+/nvHcWU0CdtxYFkOIACGZSOrmRCEHP7PT85h6HwIv/uh\n7fnZ1YkktEwaOVtA1pARSucAVJ6+lyUBG3pbkMga0A0Lac2AKNiQYWAi7Mb+PX1QFGVOYzB1mX6x\nQuVcrklE88NwSkTUYFODUkYzkNFMdLS6oekWDNNGRjPwzrkg7t7RW/Z175wL4tiFMIZDKWRzJjxu\nufg1iixiOJTCQ3evwwuvXUEc+YL19uSGTqHkHhwnfzq9EE6zuoVr4wmEYxp0Ix9gkxkDX/qXI/jc\n/7wDp69Gi8XqC40LHKf8/VJZE+9eCuONkyN468RVjIczsCAj32G0ss2oJArwexR4VRnd7R7cCKaR\ny2mwTB2CIMLr82FwbW/VYArMrSXqYoXKhbZhJaKZMZwSETXY1KBkmDYM08ZENFsW+F5841rZMvk/\n/fA0Tl6OwDDt4uylKOqQxJux89SVKP7HHWuwbW0bIon86XVBAHQjHw6Fyf+5GTAdqC4JV0cTiMTz\nwdSyneLzE9Es/v57x7FjfXuxWL0goGqpJ8u2kEyk8PxLZ2DaEmyn9j8xiiTAp8qwHAfZnIFQOA5D\nSwGQ4Pa0TF5n+kNacylZtVihcq5lsoho7hhOiYgabGogUmQRtuPAsVEWNDXdLM7sHb8YxuXRRHGp\nXkA+IFq2AweAJACiKGA8ksWX/uUIZCn/PsZk56RC8yRx8v1FUcD2de1IZHRouoVsLodkxijOshYI\nQj6gbuxrheqSkBAAe8okqG2ZMA0NkuyC5PJBtwRUIwiA1y1Dy5kwLQexlAZLz05+M20ItLVB0y0A\ngKZ0oLgAACAASURBVMctw6vKCMW1mntFZ1uyCphbqCxcbyKWxaa1HRjs80OcnHeeyzWJaH4YTolo\n2Viup6Sn3ndXQC173uOW8z3jS6ZNFVmExy0Xg+xYJFMMpo7jlNUDtW0nn/wEIK0ZSGUNqC6puE1A\nN220t7hgWjZMy4Eii9jQ14q9m7vw47eu5wvXqzKUjFEMh8DkWwoCFFmES5GQzVmwLLt4m7ZlwDRy\nkGQ3FLevrH1oKUEAFElER6sbgiBA0zTkNA2CIEB2eSGKIhIZE6JgFcMzYMKryugKqDX3igLA7sHO\n4jTudPVNZxsqS7dcCAIwdD6EnjYPPvngViiyxLqoRA3QkHBqWRaee+45vPDCC7h69SokScLOnTvx\nxBNP4Jd+6ZcacQtEtMwt11PS1e57VbsHq9o9xQNQgiBg3aoWxFJaMTx63DIEQSjO7PV2eIvL6o5T\nvt9TFAFncinemcyphmlD0y14VQVeAPs2d6G/y1cWqF56+3rxPQQIaPHKZeEUTmHZX4ZuWPC4JSQz\nInQtB1PXILtUuFR/ze9dQD5k+1QZEADb1GHbBgzDqPi6Qr6+OW42VFf+97XaXtF3zgVxbOo+0ovA\nvi3V25XONlRO3XLhOMCF4Tiee/EM7tjaXfwaHn4iqp+GhNM/+ZM/wUsvvYRf/dVfxac+9Snouo7v\nfOc7+IM/+AN84QtfwGOPPdaI2yCiZWy5npKudt/j0SwefM8ayJJYDErb17XjX39yrqw+qeqSYVo2\nDNPCrsFOvH1mAicvR4oBUsDNZXoH+XAqSyKcyeRa2iu+v8tXHKdirdJgGhnNgOqSEUloyBk3Xy8A\nkCQBoiDA45aguiWk0llo6SQE2QXX5L7QakQh/19BEGDbNlTZRJtPRjwrwbAVyC4xH0YnX18I2m5F\nhM+jFA937VjfjlBcq3qNYxfCGI3M7fMwm1BZuuXCcYDxaAa6YeHMtShGI5ll8QMR0XJX93D68ssv\n46WXXsLDDz+Mv/7rvy4+/mu/9mt4+OGH8eUvfxkPPPAA2tvb630rRLSMLddT0oX7Ky2Ir8gixqMZ\nPPzejWWvfeKhbXjnXBAvvnFt8hEH3z90CS++cQ0P3LW6uAR9fSKFeCoHr6rA45YQT+lIa/llcLci\nIZ7W8zVIpfxMa19nPvweOTuB4VAap67cDLgZzUQibcBxHDiOA1HI73t1HMCtSPCqMjb3+2Bk00hk\nTAguX83vVRAAj0tCwO9GNqcjm8kAto1Wfzfu37cGAPDqiVFoORNpzSyb/S3V6nNBEAQMdNWelZ1p\nvOerdA9qNmfCmAzshVnr5fADEdFyV/dw+t3vfheCIOB3fud3yh53u9147LHH8PTTT+OHP/whHn/8\n8XrfCjXAct0TSM1vMU5JT3fQpdrrFuNz3NvhrSiIDxRO1Rs4fTVa3kZUEiGKAjxuufg1MSeHf33p\nHGRJRGdAhSKL+eV6Nb/039bihiKLyOoWEmm9OKOquiQ8+J41uH1jZ3FWNqMZiCVz+efdMjxuebKu\nqAivLCKdNfLbAwAYhg5DyOHEZRHXgxk4zgwtTh0gZxjQNR0uSYKuqDBMB6MRDd/+6QX0tHvw/l19\nSGYMWHYWumHDQWHPLGBaDuIpHRnNxM4NHcUwXm2v6O7BToy+VRlEF3pqvnRvauH3S5Hy2ywKmv0H\nIqLlru7h9NixY3C73dixo7I13r59++A4DoaGhhhOV4DluieQloeFnpIu7W6kyCKOnAv+/+y9aZAj\n6Xnf+csLSAB130ff3dM93T0z3T0HyeExM1yZ55CmFRRlBZemwiIVdjBCkr2yueFwxNofvBuO2A8+\nKFkOh6ldUQpRosRVWB5JI44k9gxnesi5+r7vo46uGygceb/7IQEUUACqUFWoKlTX+4tgDBtIZL54\nMyvzj+d9nv/DQGe8WOhSoNHX8VP7u3ntvftlwtTQVXJ2aGpfupT+/rXJorjKWh523m9UIAh8ECIo\nCktdUzm0s4O2RISBrjiW4/Hnb93B9YJ8xFSQzrncHZ8HFvI2C1ZRni/wAxc1X8kfiap0tEWZz7o4\njk3guegRE8fXmMstL8Z8z4XAIWrooLVheQGW4wJhBFJRlNDAP1gQkDk7bATg+QG9HTEsxyNrhxHd\n9kQkP1cLuaKjU5kw3SEanofSvF1oTNV86fE+uD7F7bEUEUNFKfkRI22jJJL1ZV3FaSaTYXZ2lt27\nd1d9f3BwEIB79+5VfV+ytdiqOYGSrcFaqqRLuxsBoISm854fVFyfjbyOs5bLK6fuMDdvo6kKihpK\nnFhUJ2d7zGcd2luiZcfpSEQQQpDMOGEXJsIopqIIhC/IWKJoN3Xl3hz/+1dPcPnuLG9fHMd2fFBg\nPusQBAJFUfjppYdcvDNbrLwvLaYSgqLnaSJqkEql8ewsqh5F0yN1fUfPtQg8F02PYMZbMfKpBI4X\ngKIggtBZQFPD408lc/zcM8PFfNuRyQyj0xkAcraPlxfx716ZYD7nFn8UVP44maa/M8ZnP7STqaTV\n0JWaQm7qiUO9/MGPrnNnLFmcM2kbJZGsP+suTgHi8eq/Mguvp9Pp9RyGZIPYqjmBkq3Daqukz92c\nLnY3KuC6YdvNxdfnSq/jYnHRVBrL9jGjOsM9CQ4Mt/N//v77pDIOfhDkuySFUVPXcxAsRAdLMaMa\nZkRDBAvCFCguteslK+s52+M///AcluPzcCaH4/pFsRnmjobHsxwPgLhphAJZWajqBxC+Q1dLlNsZ\nFcWI1Z7I4lgEnpNDiABNjxKJmWEBFOB4Prqm0Bo3mEnZCChzETB0lamkxcvP78H1fP7sjVtcuTdL\nEAgc1y/aURm6WvajoFZhma6pvPz8nmXHvBoiusav/eJxTr53j9HJtExVkkg2iHUVp7U87wqIWtnw\ny6Bpy+Q9bRMK89As8zHU24JybbLq67q+MWNstjlpBuScwMRcjoihkbW9stc9X1Rcnyu5jh3P5/de\nvcqDqTTTcxauH2BoKj0dMVwvIJmxK+6DfiDQ81XwIFh8m9zZ34aqKEwnc8zMOxWtmAr7U/KepoUW\npn5Q8EANtxOEeadx00AQKltFgYiuomsqiqqgiTDC6ik6F+6Wi/dqBIEfmuYDWiSGqoYiTckf18sL\nas8P6IhG0TUXR/jF8RRyZYd6WwgQ/N6rVxmZyhRtr4QQaFooCuOmETYAmLPQdZWJuVzFXMHC++uB\npoX+rh85OoDvV7Zf3Y7I+0klck4qWetcrKs4bWkJKy2z2eoRh0JktbW1tiVJNdralv9lv51olvl4\n6dldnL81w4OJ+eJrO/paeenZXUSMjY00NMucNBPbeU4O7Orig2tTZEuqrwGGeloqrs+VXMenzo0y\nMRcW9ni+QEHB8wW265NMOwgRilAhCv2cQiHX2WoSN8Pbb2lHqMJx3rv8kFMXH2JoHkHeazQQAoXQ\nbsnzRT7SGHZ/ytkWixo7oakKiZhRrDL/+ZcOoGsq98ZT/Oz8XSZmcmQcjXo0l++5+J6NoqjoNcz2\nBVAYhO0GzKRsBnsSjE+H4rM1btDdHmNn/8J3fDibw3Z9opFwLizHJ2GG2xUOcWBXJ52dCQ7s6uL0\n9amK4xbehzCf9r3LDxmZTDPc28Kzh/ur3nvq3a7Adv7bqYWck0rknDSOdRWnsViMnp4exsfHEUJU\n3NAePHgAwN69e1e031QqJ3/FEv4yaWuLNdV8fO3Tj3H2xjTj01kGuuMcO9BNJm2R2aDjN+OcbDZL\nzYnj+fnzlWGgO8GxA91EHsEly/2DLfR3xvD8oGjnNNSb4De+8mTV67P0Ou7pCLs5/dFfXy6bI8fz\nOfn+PaaSoTgNRFC8x9mOj6GrOK6P6wVlwtEPBOmsgxnR+Pzzu8Pcy0V/L/sHW4joKuT9QkHB1MLz\nEggIRFjdrmsKXiAqhGkBTVXw/ICh7gQHh1tJJlOcm0sxkfRJWTW6ObEQrPVdG99zUHWDqNmyOIhb\nRJT8N4yiCrKWSyan0d8Vx4xoHN3TxXBfS/E7Xr0TXndu4ZosSTMoRIGHuhPsH2xhdjbD/sEW+jpi\nxfzUxe87ns/vvnK57P3X37/Pr3zhcNk1Xe92IO8n1ZBzUkkzzslm39sLc7Ja1r1a/5lnnuFHP/oR\nZ8+e5fjx42Xv/exnP0NRFJ577rkV7dP3g2LSvKS55kNF4cSBHjiw8NpmjK2Z5qRZWDwn1arS3738\n8JF0V1BR+OXPHioWUw31hhHTTNqqep0UrmN3T/U5+tqnDvIHr13j5kiSbM4jEGEks1D0o2sKLTED\nx/XLOy7lyTk+hqZyPJ+/mN0RFk793fv32dnbwhc+uodPPbuDP/nxTRwvIKKrtLeE3p9RQ2NyLnQc\niBoaI5PVf/rpmkpPu8lQd5zWqM//9f/+lNEZp8wdoJS+zhhRQ2NsOo3v2NiOg1Zitq8ooOfzVT1f\nFHNgy49ZiBSH75sRnS88v7siT9PzArI5t8zBAEBVFPYMtLJ/uL2Y36mi4HlBxTlc/P7pq5OMTJXP\nxchUhtNXJ8vylOvdrhR5P6lEzkklzTInj8K9fd3F6S/90i/x13/913z3u9/lO9/5TvH1+fl5fvCD\nH9DR0cHnPve59R6GRCJZxHZzVygtptLzveKXi+jXmqNXTt1hbDpLLKqTtcJIbJDv0BQxQk/MoZ4E\nT+7v5G/eG8H1FvrRAyBEsUgpmbb5P373HbKWhwJcuzfHm+fHaEtEsN0AIQSW4+OnbI7u7eLEYz28\n+k7YdjRruTXH7nsut+8/5PJtFVSj5nZRQ6UlZuD5AcnUPHY2hxGJkWhtL4pHJW/Mb+gqthvUjNSq\nxXzYUMQOl3SlWowZ1fLFYeUWW3sGW2sWOC1VEFdvIZss3JQ86jwK9/Z1F6fPP/88v/ALv8APf/hD\nvvWtb/HpT3+aTCbDH/3RHzEzM8N/+A//gUSidscRiUSyPsiH9PLUmosH+Wiloih0t5vFVIG+jhhH\n93Yx1JPgqf3dnLs5TXtiktl5u2gLBaGIs12fD65N8udv3SGdXRCZAnBzod+npoAgjMRqqsKT+7p4\ncl83Pz49wsRsDtcLUFUFv0QthvmhDoERQdUihbyAChTyy+gC5pJJPN9H0yPo0daiMX6YDytIxAyi\nhoYQ4AcuQeBXRE0VwnSDgkA1dJVjB2pbLg33tJTNnaGHon41XaGg/iYNjWjmIJE0M4/CvX3dxSnA\nv/t3/44jR47wJ3/yJ/zbf/tviUQiHDt2jH/zb/4Nzz777EYMQSKRLEI+pJen1lzs6E1w+d4cEArU\nuBlGJj/13M6y/vWW4xEE4ZJ/QcypykJ09eyNaWbn7eJ+SwVfoWuSyJuRen7An568xetnR4s5rWHU\nMV8h71oEvodumETM5X/wB0Lg2TksEWCacaIxHfLFV74IK/1jEY3HdnTw7OO9TCUtRiYzjExlGJ/J\nlkU8dU0hoqsoShhdNXSVvYNtPH2wt+bx62mqsJJOXfU2aVhrMweJpNl5FO7tGyJOAb761a/y1a9+\ndaMOJ5FIlqHZH9Kb0Qp38TEP7+6sOkdf+Oge5jLXas6d6/l89y8uc/H2TJmIUwiXx0tbYUZ0NTTP\nX0TBixQoRl3ncy6ZnEs0otHdbhI1VG4/SAGgGSa6YS77HYUI8h6lAiMSQ1E1Cs2PCgFYXVWImzrt\nLVGmUlbRS/T9qxOMzWRpT0SYS9tF79KOlihxU+fI7k4SMaOu87VcU4WVduqqt0nDWpo5SCRbgWa/\nt9fDholTiUTSXDTzQ3ozWuHWOubXPnWQy3dnK+Zoqbk7d3Oa22OpfK6pKPMedX3BdMpmPuuiFZbk\nS4QohFpRV0NbqtKIa2HpPGc5PLTTKKqGEY1RVJdLUBCllIjSUoN/BKgqCKEQCIHrBWQtl1hULy4H\nFh56hTaiheX4uBnm2P78C/tWdH6WyiFdTd5cvU0aVtvMQSLZCjTzvb1epDiVSLYxzfqQ3oyE/lrH\nvHx3tuoxlyvOKQhTr2RJvxTHC7gzPl9eKEW4RN7fGcN2g7LopBDgui6ea6GqGkHEBH95UQoBgZMF\nRaElkcDxKau0L+SeKgq0JiLMJC2AsIlA2iFrefS0m8XvXK3P/XBPS8Mffo9C3pxEslk06729XqQ4\nlUgkTcdKhEmjlv9XK4aqHX+gK46hq2V97KtR7b0gL2h39YWFQbbrk0xl8FwbTY9g1DDBr9h34BO4\nOaIRncHhPvq7Esymbe6Oz+MHYTRXAcyISk9HHNv16Wozmc+6xdap1Sg89J45tOwQ1nRuHoW8OYlE\nsjqkOJVIJE1HvcKkkcv/Sx2zlshaKhVg72Abc+kpavou1SAI4OFMjqm5HF0JQS5rAXrRb3Q5ROCH\ny/eKQjzRwt6Bdj759DAAr75zn8HuOBOzORwvQFEgbhr5Nqc6sahOf1eMnFVeQT+Vj6auhLWem0ch\nb04ikawOKU4lEknTcXh3J6+9d5+J2VxRIBXsmUpp5PJ/LTF0eHdnpaH1lQlOPNbD2RvT3BhJAgLP\nFxi6yuhUhvO3pnlyXxf3Hs7zcCZXs7NSNQr9611gSsRBiaHWcacuFaV6NI6iqPiBwsy8zenrUwz1\nJBBCMJOyi5FTIWA27eB4Ppqq0t8VR2HBfaDAaqKVaz03j0LenEQiWR1SnEokkqbC9Xz+4LVrWCV2\nSe0tKk/s7eJH794vEymNzEusJYYWiywhBBdvzxQLnlIZp5gXqioKacPllVN3mUvbOG6lH2iBwsp8\nsSLfc/A9p6x//VIpAcXxlInS8iV/BUhlHC7enqE9ESkWMZUmBQSBYD7roakKYzMZsjmPuKkX97PS\naGUhynzyzEixoKp0TCs5N1s9b04ikawOKU4lEklTURCDBf9QIQRjU1n+x5u3iUV1crbHn791h89/\nZFexUGcxq81LrCaGFoupgsBzvQC/pK+9KHiEOj5TyWyxxWcpigIqYd/pnX0tCCG4PzpJxvbQNIOI\nubQBfURXURWw3QBFCavvg4AKUVqg4JHqegHJjI0Z0ZkTdplpP4ROAJqq4DgBMVOjoyXK7LxNLKJx\ndE9nXXMH5Uv5WcstFlR1t5vF8cmcUYlEshxSnEokkqZiKTGYsawwGilsvv831zm4s4P+zhgPZ3PF\n7euN9Dmuz7tXJhidTFddMi5EAEcmM2RyYQcnzw/I2X4oSgNRIfIEoAiw3eohTyFAN1QO72zDdS0e\nzuYw43FcZel+3Lqm0N0Wpa8zjggCbo9Mkc7aRM0EiqISCIGihJ2kHDcojkuIha5NqqLy6ed28Ac/\nuobnl49PUQAFHMcjlQkYn84Vo6sjUxnO35rhGy8fXnZJvTTKXNraNWd7xE1D5oxKJJK6kOJUIpE0\nFZVFT6Fw8wOBZXvFaGTG8rh8d5Zf+rkDPBfRV5SX6Hg+v/uDM9wZSxb3V1qsUxoBDIKA2Xk7H4Vc\nqG/K2V7VWqelVuJ91ybneCBMJuZh3taw3aWFKYQm/JNzOaZm5hjojNHR3gqaWbSrQoChK3hBuT2A\nIPynYYStRP28oK4co1L8bo4bNgQoRDpdL+D2WGrZXFHX83n/6iTJtF3MEy60J+3vjPPi8SGZMyqR\nSOpC3ewBSCQSSSlP7e9msHtBoBbaYRaKeAoohMLp4u3Qh/Tl5/fwzKG+usTP2RvTPJiYL3utUKwD\n5RFAy/HD9vT5UKKmhv8371tfRmGz0nb2Qgg8J4djpQFQIwnO3skyOWfVJUyFEDh2FiuXwcfACiIk\nYhG6203aEgYoCpqmomkqrhsQUG7JHzFUju7t4umDvVy4NYOaj7Aqi45haCqKquSjrOUpAq4XLJkr\nWhDzN0eTZC2PZNphOl/hHzcNXjw+VPe5kUgkEhk5lUgkTcXiwqSedpPT16e4eHumuE3BNH61jE9n\nqr+eF2ClQsz1AhRFQQnTN9FUBQhf0xAoakGqKij591VVwXZc7FwWAeiRGLq6IMzqKnTKi1ohAvRI\nDFXVUAjF8pE9nfR3xvnxByPkbJ9YVM+PM9y3qoKCgqIqPLmvq2JJXlUUVD3sBCUE9HXGeP7oAKgK\nPzkzQjLtlI3F0NUlc0ULYr50Kb+wnL9/uF0u5UskkhUhxalEImk6FhcmPX2wlz89eZOTZ0YRgciL\nUwVDD5erV8pAd4Lg2iSZnFvm51kQYKVCTNcUgkCEy+cKuF6oLBVEXqxCW8LE88P9qMJBJWDScolE\nE4gVqmghBL5rEQR+UZQW38v/t78zztmb00zM5fJC0AnFsqYihEDXVFrjBrGoznOP9xeF6bED3Zy/\nNV1MlQBQVYUn9nbx+Y/uprMjwchkmgs3F7YxdJW9g21lAnOx7+vIVCj2FUUpLuW7XsD+ofZ1bTkr\nkUgeTaQ4lUgkTY+ha/zCS/tJZpyihVNBND19sHfF+zuyp4M//luPZMYpKj4hQn9VKO8hn7V9ArFQ\nYJQPoKIoYBgaCFHsxjSf8ejqbOVDR4c5eyNs8VnP0n2BsPreRzdM9Eis4n0FGOxOAGEagqEvZGaJ\nfOGTAFrjRtUCpCf3dTPYE2d0Kovt+IAgoqtcvT/H775ymd/82rP86heP8O6lh5y9EaY4HDvQzdMH\ne4sCs5q5ftQIRbGiKGUuCx0tkQr7L4lEIlkOKU4lEsmWwNA1vvHy4YaYsl+6M0dr3AAEjusXI6eX\n784WvU0HuuJYtkcybRNvCy2rkhknjJBqKm2JCIbq4zo2OUuAFsGMx5hM+fyPN+/UtXRfwHMtAs9F\nj1QXpQX6u2P8s688xY9PjwBgRjRSCnh+GE1O5Ds8HdnTWdHvvuAf67gBuqpgA7qmFm2eRqczvHf5\nIYd3tvPhIwM8fbC3ONfnbk4X91XNXN9yfMzIQnGXEIKs5XHp7myxsGq1nbskEsn2Q4pTiWSTaFRP\n+O1Eo0zZx6cz+dadYcvOAiNT6bIuUcm0jecL2hIaM6mwYl8EATk7S+AodLYn8NUYRlSAojKfcSrs\npZbCd218z0EzTCIxs2jkv3gfmgp7B9v4Z185Rtw0GOiKF7s9BYEIC7RE+H1+/ctPVXR4gnL/WFVV\n0NTQ5N9yfOJmGIEdmUxzeGf7kq1HS/NxhRDFJfyBzg5OHOxhKmmRybllwhRW37lLIpFsP6Q4lUg2\ngUb2hG9Gml14D3Qn4PpUxeuW7ZedE0NXi9XnlmXhuTZ+AJGIiaLruEIjCEJbq1qiVNcUIrqK5fhF\n66kFURolEmtFzefQRiMa3W1RcraPEILO1ihdrSYnDvaULa0/tb+b1967v1CspSy4Gpy/NY2uqRVz\nPzKVIWuFObZByVhL80+He8MmANWio6NTGf7sjVvMpR2ylosZCQV74fO3x1OomsI//tzj/Ojd+1Wb\nAqymc5ekOs3+NyaRrAUpTiWSTaCRPeGbjWYW3oUH+oOpNLbrM59xikv6Qz0JzGj5LTEW1Ukm55mf\ndwGNiNmCpqmYhkLOCcjkfFy/ek6ppiq0JSKYEY2PPTHAO5cnuP9wFs+xQI0QibXmt4NoRKe7LcrR\nPV3FLliGoeC6AjOqo2vlrn+GrnFkTyez83ZZQRfAX/70HmqJl9X71yb52qcOcunOTFkVfsGcv5C3\nOtSd4NnD/WTSVoWIFEIwnbT46aWHtCUiZC2PVMYJo7b5fcSievEarlXZL7tDNYZm/huTSBqBFKcS\nySbQyJ7wzUazCu/CA310KsN00sJ2fYQIi3naExG+9qmDXL47y+nrU4ggwLYyBEFAR1uMrvZeRqYy\nqCoEPqSyblUDfgg9TnVNpastGkZDDZWH03P0twZ0JDqZTAUk0w6e7xcLrGzHx/MFn/nQLv74xzeK\nYywIz+52s0J8DPe0VCzfZ62wk1Xp62PTWV45dQfLCXNrC5FONV9Z/+EjfQz3tHDiUC8RQyNDpYgs\nLN3HTb1YkT+dtBAaJPKpEYVI6fhMlk8/t7MsPQLq79wlWZ5m/RuTSBqFFKcSySbwKEeWmlV4Fx7o\nWcsjZ3tFWybb9bk/keZ7f32VJ/a0kdBsJjIOumFiqOEy+57+Vu5PpJnPejX3P9yTYLg3zt7BNgCm\nkzZX706QSmX52YQANYquhQatrh/QFo8wn3Xz0UfI2h6/8z8uYDl+UQwCRb/QxeKj4ChQKlLMiF7V\n//X+ZLrC5snQVT58pI+//7F9AOgllf+L9704OgthZNgpSQko5J+OTGY4d3O6KPZXu+wsl61r06x/\nYxJJo5DiVCLZBKoJi0clstSswrvw4C4VpoiwZWfGzvLBxbvcfpCgv6edn3tuJ7PzNlFD49SFcS7c\nmqnallRRQnumF48PFS2eADzH4dyNUTzfR4u0gOMghMByAlAURCCYTTsgBJoa2i9FdJWJ2VxZdLNA\n4d+l4qNas4JboynevTJRFJKFaObO3hYu35sr2jwVGO5pqTpXi/ddWuBUWOIvmP4n0w4Zy4O8ldTo\ndIaxt7PFSO9qInly2XppmvVvTCJpFFKcSiSbwOKH/6MUGWpW4b34wS1EgGvnEEKg6VEM08SImszM\nO2Qtj5mUzQfXJqsu36tK2BjgheND9LSH1k+e53Pp9hTjU7PsGmjHU0wi0Ti5tJ0/Xr57U77Hqciv\n6QsRthgNo5ILUc2FcQqCQJBM2/mmAX7xOim4F5SmLLheQNbyyFoe3e0mQz0JvvDRPcxlrq3onJQ6\nI7iez1xeLJZGXrvaoliOT9by0DSVjtZoURCvZZlZLlsvTbP+jUkkjUKKU4lkk2iULVKz0azCu/BA\nT6bSOLk0KAp6JIaiqCiEnqGuF5DOOvzPU3er7kMhtGt65mAPn/3InuLrtu3wg7+5wMy8g69EOXM7\nbOWpawsFRwWNG7Y4VdE0BccNwgr9vNdoLKrT2aoVBZ/jhhX+WdtDURTeuzrJzLxd0Y601CaqdOn+\nyO5Ofv6FfWs+J6Wff/3MaN7DVTCfdYsuAeF3C4VpYYn/5JmR4tyv5PzLZeulada/MYmkUUhxKpFI\nGk6zCW8hBJlMmk8d72KwQ+fty7NkLBfH9fH8AE1RSedcXN+p+nlFgYRpkIgZaKrCzr6w0j4IBadB\nCwAAIABJREFUAhwrw63RFGnXIO0EuF5YlJS1PKIRjY6WCFldJXD8oo9pGHU0mUlZxSIjgKGeRDFX\nc2Qqza3ReS7fnQ27LwGpjMPF2zN8cG2SDx8ZKI6vVLSVLt0nYkZFlHW1FD7v+QF/8KNrZakHiqLk\nmxpQtuwP8Mrbd4uOAfXmoFZbnhZCkMm5/MXbd6QYo/n+xiSSRiLFqUQiaQjNWMDiui7Ts0ksJ+xT\nH0u089zRdp45uoO7DzO8f3mci7dnsV2/6ufjUR1DV7EdD98PcByPHX0tPLajDTuXJhbVGRjq5eL9\nHJbjV+SKqqrC0T1dmFGNTM7jyt1ZLNcv5oMe3dvFicdC4/rSOXvmUB/PHOrjv/35xXyr1IUqJ9cL\nOHtjukycbnYOoqYpdLRGcD1RtuxfKKAancrwn394rqyV61I5pIuXrWXHKYlkeyHFqUSyzWmEqGy2\nApb5+XlSGQvXV4iaMcz4grgLhOD6/TlePzvGnbFU1c+rqsKx/V04bsDNkSSuFyAA1/excml04dA/\n0I2mhd9toCteIUwBIrpKImbw8vN7gKXnutp79dKIHETH8zl1bpQb92bo64jVvA6mklYxdcDxAkTe\nbaCr1eTEYz28eX4MoKwgK2eHvqjtLdHifpbKIV2qIKuez0skkq2NFKcSyTamUaKyGQpYfN9nejZJ\nznbRtCh6JEHpN/ADwYVb05w8PcLD2VzVfWiqQkvcIB7VCQIYnc7g58WX7+TwRcBM2mAsJRgaXNh7\n2LEpxp2x+eJrhchhafSy1lJsrfNwdG8n529NlwlfQ1c5dqBcdK41B9H1fH7v1atMzOXw/AAhal8H\nA13xYn5s1lpYvr89lkJVFT7+5CCvvnN/0f7Li7wKLJVDWjpXf/H2HdlxSiLZRkhxKpFsYxolKjez\ngCWdzjCTTHP+1ixJC/o7ExzatSAIPT/g9LVJXj87ykzKrroPNd/+U9dVSpor4fkC18kiggAjGkdV\nNXyhMDqVASbKhOCvf/kp/vMPzxXtoApdp2pFL0sjpZmcy+hUpiIyeGx/N0f3dnF7LFUUeHsH23j6\nYG/F/kor98/dnOZH796vW6SeuznN6HSmrBNVreugEKUtRJTDYy90iDq2v5vB7njZddXXGcNyKlMn\n6k072Oy0BYlEsrFIcSqRbGMaJSo3Wjx4nsfMXArLdvHQ+J9vjzM5ZwFw6W6SC3dm+OLzuzl9Y5qf\nnBsjlale6BQ1VBQFLCfAdgMcN8DRFBCwu8/g5r0MmmagRSPFz+iaysU7M3xwfar4WiHK+Jv/8Hhd\n0cvFkdJkOmxDWqjaLzCVtPjGy4frjoiuNhK+kuugEKX9f/7yClfuzVZ4qk4lLb72qYO8cuoODyYz\n7OhNFDtfrTbtQFonSSTbCylOJZJtTKOqojdKPMzPp5nP5HA8QTSWIBIzuXxjknsP5/F8ga4pRHSN\nW6Mp/u8/Oluz0GnfcBuW7TMxm8nbIi2g4aIJj+62BEcO7ODi7ZmyCGFHS+jtWSv/sZ6I8+KItaGr\nxc5VpSb5A13xFVVlf1AS0Vzc736pfaz0x0U4pl7GqojXnnaTP3htwVP18r055jLOiqr1q+XfSusk\niWT7IMWpRLKNaVRV9Hr6LhaipKW5pGak8J7P62fGSGfd0Kw+3/GpFod3d/Li8SHSlscrb95GURSC\n/Ad8zwHPJtHeQqK1jZQl+MbLh/ng2iSnr00xl7bpaI0CosKMPhbVVxRtXrxtmL/pleWWrlTcu57P\nX/70Hsn0QpS4YMS/3Nie2t/N6etTTMwt5OIuPv5iwXh4d2fVHyRA1VSRy3dn6xLZS0V/t1PxUzO6\nX0gkG4UUpxLJNqaRVdGN9l1MpzOk0lkcTxAx40RjZsU2V+/NkbNd/EDUFKWFFqMvnRguRgLfODuC\nbqhggwhcHMtC0yNE4m3EYmFFeSFq+fTBXs7enMb2Ah7O5sjkHGbnHbSS5NSs5dHTXjm+WiyOSBbM\n84/s7iQRM6qKkeXEyrmb01iOV7Zf1wvI2d6y6RWGrvErXzjM1Qcp3jwzgggEx/Z343oB525OMzKV\n4dKdmbKIcS3v0h+9e7/qMeoV7/XkQT/qwq3Z3C8kko1GilOJZJtR7cHeLFXRvu8zl0ySybkoWgSj\nJEq6mKm5HCfPjJDMuFXf11QlbDF6bIjuRcKxpyNOVFMInCwIBTPeihCga2EVemnUsFIsKcUorVpl\nruqhWhrEUE+i2M1pMfWIlfGZbEUENmx9CiP5Aq7lRNy7lx4yNh2mOoz+LMMPX79F3NTJ2R7JtIOh\nq8W82FrR0LXmHy+X/7odhFszuF9IJJuJFKcSyTZiuQd7QUAU2k8Wlq1XEhVcDdlcjmQyg+X5RM0w\nl3Qxnudz9d4ct8aSjE5luTeRrsgXLXBwZzs//4l9Zb6aBXzfZ0+vxnBPBE3vLX7PWFTnucd72dnX\nWibiFoslzw/QNbXYtrOwrD+VtOqO6K00DaJUrBTOzZW7s/zZG7eKgrZg8VT0IHX9fKQTTl+f4vT1\nqSVF3Nkb0zyYWLDCKniTOq6P4wUEQhQjsYW82GpCcq35x8uJ2+0g3GT7Vsl2Z8PE6dmzZ/n2t7/N\n3bt3+ff//t/zD/7BP9ioQ0skkjzLPdif2t/Nu1cmKoqATl+f4umDvQ2NTAVBwFwyRSbnECga0Wic\nWI0oqef5fO+vr3J/IlOzyKnQYnT3QAv/8JMH0BeNVQiBY2VImDq7dg9y4ol9nHzvHqOT6aL4nkpa\nFftdLJYKfp1xUy8rXuppN1cU0VsuDaJU6I5MZhB5JV7aGvSnlx4yl3H4x597vEwUFsbl+YK4uXCb\nX0rEjU9nFh0/wPMDMlbe59UXBIrA8QIKMxI2H2hs8dJy4nY7CDdpnSXZ7qy7OPU8j+985zv89//+\n3zFNs+qSoUQi2RiWe7AbusaJx3rKfDVjUZ2Hs7mGRaYsy2IumcZyA4xoDMNsqbmtEIIbI0n+8u27\nNY3zE6bOgeF2utqiDHUnOLSro0yYCiGwcxnMiMqOfFcnRVGIGBrPPd5Hbk/nkqJysViKRXWEoNia\nE5YuBFrNvC2OcGctl6zlEYtqFYb8pccoFYX3J9LcGk0xnRfcsahO3KxduDXQnYASe6wgEAgResCq\nikKghP8W+eTewe6wKKqe4iXX83n/6kRdYnW5qPJKhNtWzU2V1lmS7c66i9N//a//NX/1V3/Fv/yX\n/5L5+Xn+y3/5L+t9SMk2odqDR6/ShUYS4ng+mZxLMm1XeFOWPtinklZZRLDAWiJTQgiSqRTzWZtA\nqETNOFUOUSQQgit3Zzl5eoQHk5mq2ygKdLdF+bmnd3B0b1dFpBTAymWJaILh/k4Mo/yAjuvz7pUJ\n3r30kJujybL5KBV81cTS4d2dDS8EKmVxhLuQS5q1F6LGpb3rx2eyZX8PPe0mZ65PMZOyQkFJWLQ1\nn9XobK1MdQA4dqCb87dmuDOWBMIWrqqqUIgn6FroCbujt4VPPj3MU/u76y5eamSOaL3CbSvnpq6n\n+4VEshVYd3Ha3d3ND37wAx5//HF+67d+a70PJ9km1HrwfPOLRzZxVM2L4/r87iuXeTCZxvWCUOjk\nbYYWdzFq5JKibdvMJuexHB89EsOI1o6SQthi9PzNaU6eGWFiiRajqhIKXj8Q/OT8OFfuz/HlF/YV\nBaplZYmoAYM97USjlWLM8Xx+9wdnuDOWZG7eLpuPgkAtFZXVluAbXQhUymJBW8glNQ2NiblcxY+L\nxSkFWSv8ESIIhSn5/zqez8kzIzz3eF+F0InoGr/2i8eLqQ6ZnMvFfIV+aRT9k08PF797PUvsK80R\nXU5U1ivctnpuaqPdLySSrcS6i9Nvf/vb630IyTak1oPn7I1pPt3btkmjal7eu/yQ0elMWcGM6wUc\n2d1ZUSG+1iVFIQTz6XnmMzaurxA1Y5jxpdN5PD/g/auTvHF2lNn56i1GzYiWX1IPyOQ8DF3DjIS3\nsMk5i6v35jgwFENXAwa62jDNyqKqQnTxg+uT3B6bJ2poxRzSxcU+KxWVq5m3at6hl+/OMjKZIWu5\nZQJUURQ++fQwZxcVR5kRjdPXp7g9lipu73oBflB5PAWYmrNqCrRCqoN3oAfX85nLOEt+n3oE+Upz\nROsRlfUIt+2QmyqRPKrIan3JlqTmg2daPniqMTKZLv5/RVGKAiwRMyoiTqtdUvQ8j5nZFFnbRTNM\njEiC5RYhHdfnncsTvHlulFS2uiXUzr4WPnlimP1DrVy6O8vrZ8awnQAzsrB3z3UYfTjJ80cPE4/F\nqu6nNCKXzNjkLB9dU+hqi5LVVVwvKOZzria/r9byf615XBwhFELwx393o1jAtDiaO9gd5+mDvTx9\nsDfvPZrmwu0ZZlI29x6m8byAjOHS0xFD10K7q1I3A4Vwqd7Q1boEWj3XQT2CfKU5ou9fnayaelJt\nzLXEfcGzVwhRUecgi4okkuZnReL0O9/5Tl0FTV//+tdpa5PRK8n6UfOB1y0fPNUY7q2+nL50e8r6\nlhQXzPIhGotjxpe3ncrZHm+dH+Ot82PYbpUQH3BguJ0XTwyxb7ANRVHwPJ8r9+awXQ/PD0jnArI5\nm5aoTyRqcuTAjprCFMojcoamksPH9QMsxy9Gk/cPtfPMod4KEVmvUC+dt+WWpwvjKVhDZazQ/gnC\nHw2FMQ11JyrG9MyhPjw/4LV3H+DmbZ78QGA5PpmcQ84J51RhYVkfwshoLKrXLdAWf59q81AqYAuu\nBz96935xm5XmiN4cTZK1wmYCpeJ88ZiXEveKohS7nRX+Xeu4Eomk+ViROP3t3/7tusTpl770pXUV\np5omi15gYR6243ycONTL6etTjJbY3wx1J3j6UC+wPeekFpqm8uzhft744AEjUwsR1KHuBCcO9a6q\niKxgA5XO2AjNIBJrYYn6piLzWYc3z43x9oXxmqL0yJ5OPvn0MLv6W8tev3Q3xVTSwozq5CyXXC6N\noqi0t3Wxd7h92e8yMZcrFvfETYOc4+O4Pp4vUFWFx3Z08CtfOEykRHg6ns/vvXq17Do7fX2qYrtq\nnL4xxfhMltJb5vhMlgt3Znnu8b5iq9DppIXrB6FVkxCkMg6JmIGqKiRiBjv7W/nw0YGK/Z+7NY3r\nB6CASr6aHkjnPARhEZUZ1UmmbYJA0BIz6GiLsqOnpepcLXU/qTYP71+d5MShXqbmcgx0J/h7z+3g\n91+9VnWuvvnFI5y9Mc34dJaB7jjHDnRXzF9hvuKmETYS8ANcP0y1eGxHR8WYF89vzvZJZZ3QUixm\nhCsEMZ2je7tpMY2ax12K7XyPrYWck0rknFSy1rlYkTi9cuXKmg7WKNraakdHtiPbdT5+82vP8t7l\nh4xMphnubeHZw/1EjPDBs13nZCn+t//1mZrzVS+WZTE9m8JyAox4Cz2t7XV9bjqZ47Wf3eOtc6Nl\nVkilxE2dz390L3/vQ7uqvp/OPURVIHAtOhPQ3tKN5wsO7+3i13/xxLLf5cCuLk6XWCX1dcbIWh6P\n7eykt8MkFjW4OZYum5dT50aZmMuhqSoZy8V1A245Ka4+SPHCiR1LHi+ZddFLbtBBPpL35rkxWhJR\n9gx38JNzY3i+QCFfFZ+PgE6nLFpiBgnT4MCuTjo7ExX7j0R0FPLKTAFdVwmCUHhHIxoJ00BRoKMl\nSsZyGexJ8NmP7Fn2vFf72ynMQ+H7BEJw4c4Mdx7O0xIz4PoUf/fBA3K2V/adJ+Zy3BxL89GnhpbN\nBS+dr4HuRHG+j+7r4dd+8XjFmBfPr5+fxyAQZa/3dsb5ys8dXPLYyyHvJ5XIOalEzknj2JI5p6lU\nDr9atv82Q9NU2tpi23o+Du9s5/DOUCBl0haWnJMKCteJlXMq5qu6SVM5RRuotI0nFMxYHFCx3eqF\nS6VMzub48ekRTl+fIgiqt3OKmzqtcQNdU0lnbJLJ6vmQEdXFzs1jxlpQtZK8x33ddX2X/YMt9HXE\nwsIwFDRNYe9AG47r8cHVCQDeOgevv3+/GBm9cS9sRjA1lwujlAA5+OPXrnJoR9uSUbj2uIGX/0wg\nBNNzYYQ0CATf/9EVBjrjGJqCyC+8K4SeT4EQ5PJL/J4XsKs3xuxs5bc7sruT9y4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44YdSUIAmwWI6LCQxDHFfhEREQBgeE0gDmdTly+2oqGxmsQoEZIaARUEmyW76ovI0YzhsWgMCcN\nI5KjfFKDKIqwmIwIVSkwnCvwiYiIAgrDaQAymkwwGExwikBCUjxCwyK9Okd+IPoyYnTCqDgUZKch\nNSHCZ3VYLSaIYSKGpcQBYCglIiIKNAynAUIQBFxrN8BotkFQqKDRhEOjUkh+VbCl3YJ/1d56xGjO\n9RGjCV4eMerKZrNAKTqQPCQGKSnxaGszwuEhJBMREZG8MZzKXPdIUatD6NosXyvNZvk3a2o1Yf9X\n9Th+tqX3EaP6RNyblYqYSN9t1+Sw2yE4LIiLjkRkZBzUal4tJSIiCmQMpzIkCELXZvkuI0U1Em2W\nf7OLlzux71g96r7vfcToj8cn4e4J3h8x6qp73GhMlBYx0VyBT0RENFgwnMqI21VSiUaK3kwURZxr\nNGDfsXqcrTd4fE64Ro27fTRi9OZarGYjIsPUSE3jCnwiIqLBhuFUYnK+SiqKIk5fuIbqY/W4eNnz\niFFdeAjumZiKH41NRKgPRoy64rhRIiKiwY/hVCLdV0ktdidCNOGyuUoKdI0YPXGua8RoU6vnEaNx\nURrcm52K3DG+GTHqymoxIUQpcNwoERFREGA49SNPV0m1MrlKCriMGP2qAS2G3keMFmanIXN0vE9G\njLqy26yAYEMCx40SEREFDYZTP3C9Siqne0m7dY0YvYwDtY2SjRh15XA44LSZEBsdDl0UFzsREREF\nE4ZTHxFFEdfa22V7lRToGjF66GQzPj/R+4jRUak6FGanYXSazueLj7rHjeoiNIgdksTFTkREREGI\n4dTLrFYr2q51yPYqKQB0mu04eKIRNSebYbV7HjGqH941YnR4km9GjLrqXoEfFqriuFEiIqIgx3Dq\nBaIodt1LarLCISigDYuQ3VVSAGjvtOLA8UYcrbsMu9PDiFEFMCE9HoU5qUiJ992IUVcWiwmhShFD\nk+OgVvPtSEREFOyYBm6D3W5HS1s7LLauq6RqTaQsG9rSbsH+2gYc62XEqErZNWL03uxUJET7bsSo\nq55xo3E6aLVav7wmERERyZ8cs5SsiaKIjs4OdBitsDsV0GjDoA2X572RTa0m7DtWjxPnPI8YDVEp\nMWlsIvInpvh0xKirm8eNEhEREbliOO0jh8OB1msGmCx2qNUaqEMjINdt4C9e7kD1fxpw6sKtR4xO\nzUxBZJh/7j/guFEiIiLqC4bTH9DZaYSh0wS7AwgNC4c2XJ4fQYuiiLMNXSNGzzX0MmJUq8bUCSn4\n8fgkn44YvbkujhslIiKivmI49cDpdOJaezuMZjsUqlCEhEZAEyp1VZ4Joohvzrdi739uMWI0IhT5\nE1MwWe/7EaOuOG6UiIiI+ovh1IXJbEZ7uxEWhxMabQRCw+R5lRQAnN0jRmsb0HDF6PE5cToNCrJS\nkeOHEaOurBYT1Bw3SkRERAMQ9OG0Z6SoyQZBoYJGE44wmV4lBbpGjB779gr21zag1WD1+Jyk2DAU\n5qRhwijfjxi9oTabDaJg5bhRIiIiGrCgDaeum+WHaMIRopXfZvmubHYnjp66jAPHG2HoZcTosMRI\nFOakIWN4jM9HjLriuFEiIiLylqAKp4GyWb4ri82Bmq+b8fnXjTD1MmJ0dFrXiNFRqb4fMeqK40aJ\niIjI24IinNrtdrS2GWCxO6FUaxAi083yXXWa7fj8RCMO3WLE6NgRsZhx72jER4bA6fSwkamPdK/A\nD9eokcxxo0RERORFPs9oRqMR77//Pnbt2oWLFy/CZrNh6NCh+MlPfoInnngCUVG+m93e0dEJg9EM\nuwPQhIVDo5b/lb1r10eMfnGLEaOZo+JRkJ2KoYmRiI4OR3u7yW/1WSwmaJTguFEiIiLyCZ+mi87O\nTsyfPx91dXWYMWMG5s6dC7vdjr179+Kdd97B3r17sW3bNq+u6HY6nWhta4fJaodKdX2zfBkvcOp2\ntd2Mf33VgGP/vSqbEaOuOG6UiIiI/MGn4bSyshInT57EsmXLsGjRop7HZ82ahUWLFmH//v3429/+\nhoceeui2X8toMsFgMMLqEBGqDYdGxttAuWpsMWLfsQZ8fb73EaOTxybiHj+OGHXFcaNERETkTz4N\np5mZmVi6dClmzZrldiw/Px/79u1DQ0PDgM8vCALarrXDaLEDSjVCQyOgDYCrpABwobkD+47V49SF\nax6Pa0JUuGtCMu6ekOy3EaOuOG6UiIiIpODTcFpUVISioiKPx86dOweFQoGxY8f2+7wWiwVXWwyw\n2AWEaMIQqg2Mjd5FUcTZegOqj9XjfKPnEaMRWjWmZnaNGNWG+v+eTo4bJSIiIin5Lf1YrVaYzWY0\nNzfjk08+webNm1FSUoL777+/X+c5/30DrnXYoQ4Jl/02UN0EUcSp79uw71g9LvUyzSk6IhT5WSmY\npE9EqFqaUZ8cN0pERERS61c4raio6NOVtLKyMuh0uhsee+ONN7Bp0yYAQHx8PFasWIHZs2f35+UB\nAAJU0GjVft06aaCcgogTZ1uw76t6XG4ze3xOvE6LguxUZN+Z4NcRo66sFhNCOG6UiIiIZKBf4XT9\n+vV9CqczZ850C6fz5s1DUVERrl69iurqaqxatQoHDhzAmjVrEBER0a+iVSolAPdtluTC4RTw5ekr\n2HesvtcRo8lx4bgvNw2Zowc+YlR1PcwOtB92mw0KwYbkhMEzbvTGnhDAnnjCnrhjT9yxJ+7YE3fs\nibvb7YVCFD2tEfe9d999F6+99hoeffRRlJeX9/nrzn7fDG14/8Ksv1htThz4qh57jlxAe6fnUJqe\nqkPxXSOReUeCZPdzOhwOOK0mxMdGIjpa98NfQEREROQnkoVTs9mMnJwcjBw5Ev/4xz/6/HVnv2+G\nQ1DB6WGDeqmYrA7UfN2Efx/vfcToHWnRuC83DaPTvDdiVKVSIjJSi85OS5/6IQgC7BYTdJEaxMZE\nD8rFTiqVEjpdGAwGs6zeI1JiT9yxJ+7YE3fsiTv2xB174q67JwPl0wVRpaWlOH/+PPbv3++2cbvB\n0LVafSDZ2OkUZHHPaYfJhs9PNOHwN7ceMVqYk4phiV2TsAQBALxVe9c3wQ/1w3XcaGpSPJRK5fXn\nS99DX3E6BTgc/CHhij1xx564Y0/csSfu2BN37In3+DScpqeno7a2Fps2bcITTzxxw7EtW7YAACZP\nnuzLEnziWqcV/6ptwBenLsPhIRQqFMDE0fEoyE5Dcpy093JaLCaEKkWOGyUiIqKA4NO0smzZMhw6\ndAhr167FqVOnMGXKFCiVStTU1GD37t1ISEjA4sWLfVmCV129Zsb+6yNGBQ9XfFVKBXLHDMG9WamI\nj5Z2QhXHjRIREVEg8mk4TU5Oxvbt21FZWYnq6mrs3bsXgiAgJSUFc+bMwcKFCzFkyBBfluAVXSNG\n6/H1uVaPH4R3jxjNn5iCaAlGjLriuFEiIiIKZD7/nDcmJgbPPPMMnnnmGV+/lNddaO5A9bF6nO5l\nxKg2VIW7xifjLolGjLriuFEiIiIaDHgT4k1EUcSZ+nbsO9ZwyxGj90xMwZRx0owYdSWKIiwmI8JC\nlRw3SkRERAGP4fS6vo8YTcUk/RDJRoy6sphMiI4AhqfGQxQZSomIiCjwBX04dQoijp+9iv1fNfQ+\nYjRai4IsaUeMuuoeN5qaGIvk5Di0tRm5fQURERENCkEbTrtHjP6rtgFtHZ6nOaXEh6MgOw0T0uOg\nHOCIUW+y26yAYMOQWB3Cw8KgVksflImIiIi8KejCqc3uxJG6y/j38QYYTHaPzxmeFInCnDRkDIuR\nxT2cDocDTpsJsdHh0EVxsRMRERENXkETTs1WB2pONuHgiSaYrL2PGC3MSUV6ivdGjN4OQRBgsxih\ni9AgdkiSLGoiIiIi8qVBH077MmJ03MhYFGSnYVhipJ+r86xn3KhWjeTUIVAq+fE9ERERBYdBG07b\nOqw4UNuAL07Lf8SoK4vZBI2K40aJiIgoOA269HPl+ojRr35oxGh2KuJ18hnrabWaoYITyfEcN0pE\nRETBa9CE04arRuz7qh4nexsxqlZiytgkTJ2YguiIUL/X1xuHzQZBsCJeF4nIyAipyyEiIiKSVMCH\n0++bOrDvWD1OX7zFiNEJybh7QjIitNKOGHXldDrhsJkQHclxo0RERETdAjKciqKI/166hn3H6nG+\nscPjcyLCQnBPZrIsRoy66l6BHxUegrhUjhslIiIiciWf1NZHx8+2ourIrUeM3puVikn6RITIaJN6\nrsAnIiIi+mEBF07/tPNbj48nRGtRkJ2KrDvkMWLUldVkhCZEgWEp8VCpVFKXQ0RERCRbARdOb5YS\nH47CnDSMHymPEaOuLBYTQpUiUhKjERoqn0VYRERERHIVsOF0eFIk7stJwxiZjBh11bMtVBy3hSIi\nIiLqj4ALp+NGxiA/KxXDE6NkF0rtNitEwYaE6ChERMhnY38iIiKiQBFw4fSJn+thtSvg9DD1SSoO\nhwNOuxmxujDoorgtFBEREdFABVw4lROn0wm71YToSA1ihnBbKCIiIqLbxXA6AN3bQkVo1UjhtlBE\nREREXsNw2k8WkxFabgtFRERE5BMMp31ktZigVgpIGRINjUYjdTlEREREgxLD6Q+w26yAYMOQWB3C\nw8KkLoeIiIhoUGM47YXD4YDTZkJcdASiomKlLoeIiIgoKDCc3kQQBNgsRugiNIgdksQV+ERERER+\nxHB6XfcK/HCtGslcgU9EREQkCYZTABazCVo1MDQ5Dmo1W0JEREQklaBOYlarGWqFEykJXIFPRERE\nJAdBGU4dNhsEwYqE6ChERIRLXQ4RERERXRdU4dThcMBpNyMmKgzRuiSpyyEiIiKimwRFOO1egR8V\nHoK4IYlcgU9EREQkU4M6nHavwA8LVWE4V+ATERERyZ7f01pLSwumTJkCvV6Po0eP+ux1LBYTRLsJ\nQ5PjkJQYz2BKREREFAD8fuX0hRdeQHt7u88+WrfZLFCKDiTH6aDVan3yGkRERETkG369nLhz5078\n85//RGZmptfP7bDbYTN3IC5Sg6EpiQymRERERAHIb+G0tbUVq1evRn5+PgoKCrx2XqfTCau5A5Fa\nYHhaEiIjI7x2biIiIiLyL7+F05UrV8Jms2HVqlVeOV/XYqdOaFV2DE9NREx0tFfOS0RERETS8cs9\np7t370ZVVRVWrlyJlJSU2z6fxWxCiFLE0OR4qFQqL1RIRERERHLQr3BaUVHRp4VMZWVl0Ol0AIC2\ntja89NJLmDJlCkpLSwdWpQuVwoG0xGgolYN6FywiIiKioNSvhLd+/fo+hdOZM2f2hNNVq1bBbDZj\n9erVA6vwJiOHp8FgMMPpFLxyvkCmUilv+DexJ56wJ+7YE3fsiTv2xB174o49cXe7vehXOD116lS/\nTr5nzx7s3r0b5eXlGDZsWL++9lZ0ujCvnWswYD/csSfu2BN37Ik79sQde+KOPXHHnniPzz4bb29v\nx8qVKzFu3DhMmzYNzc3NPcc6OjoAdK3gb25uRmxsLEJDQ/t8bl457aJSKaHThbEfLtgTd+yJO/bE\nHXvijj1xx564Y0/cdfdkoHwWTk+fPo2Wlha0trbivvvuczuuUCiwbNkyKBQKbNq0CZMnT+7zuZ1O\nAQ4H3wDd2A937Ik79sQde+KOPXHHnrhjT9yxJ97js3A6ZswYbNiwweOxHTt2YNeuXXj66aeRkZGB\nMWPG+KoMIiIiIgogPgunMTExvW62f+LECQBATk5Ov66YEhEREdHgxqVlRERERCQbkoTTJ598EnV1\ndbxqSkREREQ34JVTIiIiIpINhlMiIiIikg2GUyIiIiKSDYZTIiIiIpINhlMiIiIikg2GUyIiIiKS\nDYZTIiIiIpINhlMiIiIikg2GUyIiIiKSDYZTIiIiIpINhlMiIiIikg2GUyIiIiKSDYZTIiIiIpIN\nhlMiIiIikg2GUyIiIiKSDYZTIiIiIpINhlMiIiIikg2GUyIiIiKSDYZTIiIiIpINhlMiIiIikg2G\nUyIiIiKSDYZTIiIiIpINhlMiIiIikg2GUyIiIiKSDYZTIiIiIpINhlMiIiIikidV2IEAAA6aSURB\nVA2GUyIiIiKSDYZTIiIiIpINhlMiIiIikg2GUyIiIiKSDYZTIiIiIpINhlMiIiIikg21L09+5MgR\nlJWV9XpcoVBg165dSE9P92UZRERERBQgfBpOuxUXF6O4uNjjsaSkJH+UQEREREQBwC/hdPTo0Zg2\nbZo/XoqIiIiIAhjvOSUiIiIi2fBrOBVFEWaz2Z8vSUREREQBxC8f69fV1WHBggU4fPgw7HY7IiIi\nUFhYiOXLl2Po0KH+KIGIiIiIAkC/wmlFRQUUCsUPPq+srAw6na7nzwcPHsSsWbMwd+5cmEwmfPbZ\nZ9i5cydqamqwdetWpKam9r9yIiIiIhp0+hVO169f36dwOnPmTOh0OowZMwYbNmzAqFGjMGzYsJ7j\nJSUlSEtLw9tvv41169bh1Vdf7VfRKhVvlQX+1wf243/YE3fsiTv2xB174o49cceeuGNP3N1uLxSi\nKIpeqqVfDAYDfvSjHyE+Ph6ff/65FCUQERERkcxIFvN1Oh00Gg06OjqkKoGIiIiIZMan4bSmpgbv\nv/8+HA6H27FLly7BarUiLS3NlyUQERERUQDx6Wr9HTt2YPv27RAEAXPmzLnhWPfiqunTp/uyBCIi\nIiIKID6957S5uRmlpaW4cuUKpk+fjkmTJsFms+HTTz/FkSNHkJWVhb/85S/QarW+KoGIiIiIAojP\nF0S1trZi48aNqKqqQlNTE9RqNdLT01FSUoKysjKEhob68uWJiIiIKIBItlqfiIiIiOhm3JSLiIiI\niGSD4ZSIiIiIZIPhlIiIiIhkg+GUiIiIiGQjIMPpkSNHoNfre/1n7NixOH/+vNRlSq6lpQVTpkyB\nXq/H0aNHpS7H74xGIyorK/Hggw9i8uTJyMrKwvTp0/HGG28E7WQyQRCwZcsWPPjgg8jOzsbEiRNR\nUlKCP/zhDzCZTFKXJ6na2lo88MAD0Ov1+OSTT6Qux2+cTicqKyvx85//HFlZWcjNzcW8efOwd+9e\nqUuT3LZt25CXlwe9Xo+Ghgapy5FMZ2cn1q5di2nTpmHChAnIzc1FaWkptm7dKnVpkqqvr8fq1atR\nXFyM7Oxs5OXlobS0FJs3b4YgCFKXJ7nPP/+8J5P1l0834fe14uJiFBcXezyWlJTk52rk54UXXkB7\nezsUCoXUpfhdZ2cn5s+fj7q6OsyYMQNz586F3W7H3r178c4772Dv3r3Ytm0bNBqN1KX6jSAIWLBg\nAQ4ePIipU6eivLwcSqUSe/bswZtvvtkz0S3Y3i8OhwMVFRWorKyEVqsNuv/+5cuXo6qqCg888AAe\ne+wx2Gw2bNmyBYsXL8aLL76IWbNmSV2i37W2tmLFihWorq4OyveEK9f9yn/5y18iLy8PBoMBH374\nIX73u9/h3LlzeO6556Qu0+9Onz6NsrIyOJ1OPPLII7jzzjvR1taGrVu3YtWqVTh+/DheffVVqcuU\njNFoxIoVKwb+vSMGoMOHD4sZGRliRUWF1KXI1t///ncxIyNDfOihh0S9Xi8eOXJE6pL8au3ataJe\nrxfffPNNt2MLFy4U9Xq9uGXLFgkqk87OnTvFjIwM8be//a3bsccee0zU6/ViVVWVBJVJ67nnnhMz\nMzPFd999V1y3bp2o1+vF7du3S12WX+zZs0fMyMgQn3322Rset1gs4rRp08Ts7GyxtbVVouqkU1hY\nKObn54v//ve/xblz54p6vV6sr6+XuixJrFixQtTr9eJf//rXGx43GAzi3XffLY4fP15saWmRqDrp\nPPLII6Jerxe//PLLGx7v6OgQ77nnHlGv14sXLlyQqDrprVixQszJyRGLi4tFvV7f768PyI/16dZa\nW1uxevVq5Ofno6CgQOpyJJGZmYmlS5d6vOqTn58PURSD8mO66dOn4/HHH3d7vLCwEKIooq6uToKq\npBUfH4+PPvoI8+fPD7orZFu3boVCocD8+fNveFyj0WDWrFmwWCzYuXOnNMVJKDc3Fzt27MDUqVOl\nLkVyiYmJmDZtGn71q1/d8HhUVBRyc3PhdDrx7bffSlSddEpKSvDss88iNzf3hscjIyN7Hquvr5ei\nNMnV1NRgy5YtWLRoEeLj4wd0joD+WL+bKIqwWCwICwuTuhRZWLlyJWw2G1atWoWPP/5Y6nIkUVRU\nhKKiIo/Hzp07B4VCMaD7YAJZSUkJSkpKPB7rvgc3KirKnyXJQjB+JNmttrYWGo0G48aNczuWm5sL\nURRx7NgxzJ07V4LqpPPGG29IXYJsPPnkk70eC+afG719T4iiiO+++w5qtRqjR4/2c1XSM5lMeP75\n5zF+/HgsWLAABw4cGNB5Ajqc1tXVYcGCBTh8+DDsdjsiIiJQWFiI5cuXY+jQoVKXJ4ndu3ejqqoK\nK1euREpKitTlyILVaoXZbEZzczM++eQTbN68GSUlJbj//vulLk0WzGYztm7dCo1Gg5/+9KdSl0N+\nYjQa0dbWhhEjRng83v3z48KFC/4siwLE6dOncfToUdx5550YP3681OVIymg0wmq14uzZs6isrMTZ\ns2dRXl6OIUOGSF2a373++uu4cuUK3nrrLSiVA/9wXhbhtKKiok8fp5WVlUGn0/X8+eDBg5g1axbm\nzp0Lk8mEzz77DDt37kRNTQ22bt2K1NRUX5btUwPpSVtbG1566SVMmTIFpaWlvi7Rrwb6HgG6roJs\n2rQJQNdHuCtWrMDs2bN9Uqc/3U5PutlsNixfvhyNjY145plnAv4vNN7oSbAwGo0AgPDwcI/Hux/v\n7Oz0W00UGBobG7FkyRKoVCqsXLlS6nIkN2fOHJw6dQoAcOedd6KyshI//vGPJa7K/w4fPowPPvgA\nS5YswZgxY27rXLIIp+vXr+/TL5SZM2dCp9NhzJgx2LBhA0aNGoVhw4b1HC8pKUFaWhrefvttrFu3\nLqBXyvW3JwCwatUqmM1mrF692tfl+d1A+tFt3rx5KCoqwtWrV1FdXY1Vq1bhwIEDWLNmDSIiInxV\nss/dTk+Arq3GFi9ejOPHj+Oxxx7zeC9qoLndngSTH+qTKIp+qoQCSW1tLZYsWQKDwYDf//73bvdc\nBqOXX34Z7e3tuHjxInbs2IHHH38cv/nNb/DUU09JXZrfWCwWPP/88xgzZgwWLVp02+eTRTjt/htH\nX8XExPS60GfBggV4++23B3yfg1z0tyd79uzB7t27UV5efkNgHyz62w9Xw4YN6+nJ9OnTMX78eLz2\n2mtYt24dysvLvVWi391OT+rq6rB48WJcuXIF5eXlKCsr82Jl0rmdngSbyMhIAOh1f9vuK6vBeD8h\nebZjxw6sWLEC4eHh+NOf/oRJkyZJXZIsuN7W8Otf/xpLly7Fhg0bkJmZ2evah8FmzZo1aGpqwocf\nfgi1+vaj5aBbra/T6aDRaIJqk/X29nasXLkS48aNw7Rp09Dc3NzzT3cfWltb0dzcDJvNJnG10uu+\n5WH//v0SVyKNI0eOYPbs2TCZTHjnnXcGTTCl/gkLC0NCQgKampo8XiW9dOkSACA9Pd3fpZEMbdy4\nEc899xxGjhyJrVu3Mpj2QqFQ4OGHH4YoikHzO+aLL77Ae++9h4cffhgJCQk9+aOpqQl2ux0Aeh7r\nK1lcOe2vmpoafPfdd3j44YfdEvqlS5dgtVqD6gfq6dOn0dLSgtbWVtx3331uxxUKBZYtWwaFQoFN\nmzZh8uTJElTpX6Wlp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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(X_std, y_std)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parameters vs. Estimates\n", "\n", "It is very important to keep in mind that all $\\alpha$ and $\\beta$ parameters estimated by linear regression are just that - estimates. You can never know the underlying true parameters unless you know the physical process producing the data. The paremeters you estimate today may not be the same as the same analysis done including tomorrow's data, and the underlying true parameters may be moving. As such it is very important when doing actual analysis to pay attention to the standard error of the parameter estimates. More material on the standard error will be presented in a later lecture. One way to get a sense of how stable your paremeter estimates are is to estimates them using a rolling window of data and see how much variance there is in the estimates.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Regression vs. Correlation\n", "\n", "* Linear regression gives us a specific linear model, but is limited to cases of linear dependence.\n", "* Correlation is general to linear and non-linear dependencies, but doesn't give us an actual model.\n", "* Both are measures of covariance.\n", "* Linear regression can give us relationship between Y and many independent variables by making X multidimensional." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The Correlation Coefficient\n", "The correlation coefficient measures the extent to which the relationship between two variables is linear. Its value is always between -1 and 1. A positive coefficient indicates that the variables are directly related, i.e. when one increases the other one also increases. A negative coefficient indicates that the variables are inversely related, so that when one increases the other decreases. The closer to 0 the correlation coefficient is, the weaker the relationship between the variables.\n", "\n", "The correlation coefficient of two series $X$ and $Y$ is defined as\n", "$$r = \\frac{Cov(X,Y)}{std(X)std(Y)}$$\n", "where $Cov$ is the covariance and $std$ is the standard deviation.\n", "\n", "Two random sets of data will have a correlation coefficient close to 0:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Correlation vs. Covariance\n", "\n", "Correlation is simply a normalized form of covariance. They are otherwise the same and are often used semi-interchangeably in everyday conversation. It is obviously important to be precise with language when discussing the two, but conceptually they are almost identical.\n", "\n", "###Covariance isn't that meaningful by itself\n", "\n", "Let's say we have two variables $X$ and $Y$ and we take the covariance of the two." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.13057845206992322" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X = np.random.rand(50)\n", "Y = 2 * X + np.random.normal(0, 0.1, 50)\n", "\n", "np.cov(X, Y)[0, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So now what? What does this mean? Correlation uses information about the variance of X and Y to normalize this metric. Once we've normalized the metric to the -1 to 1 scale, we can make meaningful statements and compare correlations.\n", "\n", "To see how this is done consider the formula.\n", "\n", "$$\\frac{Cov(X, Y)}{std(X)std(Y)}$$\n", "\n", "$$= \\frac{Cov(X, Y)}{\\sqrt{var(X)}\\sqrt{var(Y)}}$$\n", "\n", "$$= \\frac{Cov(X, Y)}{\\sqrt{Cov(X, X)}\\sqrt{Cov(Y, Y)}}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To demonstrate this let's compare the correlation and covariance of two series." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Covariance of X and Y: \n", "[[ 0.07728824 0.15457649]\n", " [ 0.15457649 0.30915297]]\n", "Correlation of X and Y: \n", "[[ 1. 1.]\n", " [ 1. 1.]]\n" ] } ], "source": [ "X = np.random.rand(50)\n", "Y = 2 * X + 4\n", "\n", "print ('Covariance of X and Y: \\n' + str(np.cov(X, Y)))\n", "print ('Correlation of X and Y: \\n' + str(np.corrcoef(X, Y)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Why do both `np.cov` and `np.corrcoef` return matricies?\n", "\n", "The covariance matrix is an important concept in statistics. Often people will refer to the covariance of two variables $X$ and $Y$, but in reality that is just one entry in the covariance matrix of $X$ and $Y$. For each input variable we have one row and one column. The diagonal is just the variance of that variable, or $Cov(X, X)$, entries off the diagonal are covariances between different variables. The matrix is symmetric across the diagonal. Let's check that this is true." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "error: -1.38777878078e-17\n" ] } ], "source": [ "cov_matrix = np.cov(X, Y)\n", "\n", "# We need to manually set the degrees of freedom on X to 1, as numpy defaults to 0 for variance\n", "# This is usually fine, but will result in a slight mismatch as np.cov defaults to 1\n", "error = cov_matrix[0, 0] - X.var(ddof=1)\n", "\n", "print ('error: ' + str(error))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation: -0.0224607520593\n", "Built-in Correlation: -0.0220115370181\n" ] }, { "data": { "image/png": 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WzeuZ7+Tk5Oa9kGFo8eLF3ryUo/DbqjWYDbAeNbae1TV2b+ZTWhoelKGcz7D1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\nYmNj+8y3ud2B41zPMHasY/Hdhq1bt3ao+A4KCsK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6sWvXrmHLli2wtLTEhg0bWi28AeDN\nN9/EsGHDcOnSJezevbvTxwoICIC1tTUkSUJQUFCrhTcALF26FMuWLcOQIUNw9OhR5OTk4LnnnsOB\nAwfw9NNP44MPPoCDgwMuXLiA4uJi3fseviDw8vLCn//8Z4wePRr5+fk4fPgwVCoVdu3ahSlTphj8\n8/PDhw9HamoqwsLCUF9fj7S0NBw9ehQ2NjZ4++23kZyczMKbiHot3vkmIiIiIjIR3vkmIiIiIjIR\nFt9ERERERCbC4puIiIiIyERYfBMRERERmQiLbyIiIiIiE2HxTURERERkIiy+iYiIiIhMhMU3ERER\nEZGJsPgmIiIiIjIRFt9ERERERCbC4puIiIiIyERYfBMRERERmQiLbyIiIiIiE2HxTURERERkIv8P\ndr4eWsgyxcsAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.random.rand(50)\n", "Y = np.random.rand(50)\n", "\n", "plt.scatter(X,Y)\n", "plt.xlabel('X Value')\n", "plt.ylabel('Y Value')\n", "\n", "# taking the relevant value from the matrix returned by np.cov\n", "print ('Correlation: ' + str(np.cov(X,Y)[0,1]/(np.std(X)*np.std(Y))))\n", "# Let's also use the builtin correlation function\n", "print ('Built-in Correlation: ' + str(np.corrcoef(X, Y)[0, 1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see what two correlated sets of data look like." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation: 0.946673228128\n" ] }, { "data": { "image/png": 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a4C1Jllyu2UpOflwZGYRvAPBlboVvXq4EAOcUFYWoPnjXslRcHOKJ4fiN/Pw9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\nxTcRERERkYGw+CYiIiIiMpD/A6LC/NOYOL0jAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.random.rand(50)\n", "Y = X + np.random.normal(0, 0.1, 50)\n", "\n", "plt.scatter(X,Y)\n", "plt.xlabel('X Value')\n", "plt.ylabel('Y Value')\n", "\n", "print ('Correlation: ' + str(np.corrcoef(X, Y)[0, 1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's dial down the relationship by introducing more noise." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation: 0.873063889502\n" ] }, { "data": { "image/png": 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2iIhmt9njHHx1pb7mUGPzqLFZ1Nc8amwW9TUvELVtdvjes2dPox5nWZZs225w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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.random.rand(50)\n", "Y = X + np.random.normal(0, .2, 50)\n", "\n", "plt.scatter(X,Y)\n", "plt.xlabel('X Value')\n", "plt.ylabel('Y Value')\n", "\n", "print ('Correlation: ' + str(np.corrcoef(X, Y)[0, 1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's see what an inverse relationship looks like." ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation: -0.946404802991\n" ] }, { "data": { "image/png": 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EZWcXBnJZAADAAux8AxYrLbXpVPD2ME4eDy60zwAA4JuQDt/r1q3TwoULtWvXLp04cUJJ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\n9Xn09PTg5uYGoGbZwYqKCiQlJUFfXx+urq5q+z9+/BjXr18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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.random.rand(50)\n", "Y = -X + np.random.normal(0, .1, 50)\n", "\n", "plt.scatter(X,Y)\n", "plt.xlabel('X Value')\n", "plt.ylabel('Y Value')\n", "\n", "print ('Correlation: ' + str(np.corrcoef(X, Y)[0, 1]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Limitations\n", "\n", "## Significance\n", "\n", "It's hard to rigorously determine whether or not a correlation is significant, especially when, as here, the variables are not normally distributed. Correlation is a powerful technique, but as always in statistics, one should be careful not to interpret results where there are none.\n", "\n", "One fundamental problem is that it is easy to datamine correlations by picking the right subset of data. To avoid this, one should compute the correlation of two quantities over many subsets and examine the distibution of the correlation coefficient.\n", "\n", "As an example, consider the correlation of the following time series:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import pandas_datareader.data as web\n", "import datetime" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Pull the pricing data for our two stocks and S&P 500\n", "start = datetime.datetime(2013,1,1)\n", "end = datetime.datetime(2015,1,1)\n", "bench = web.DataReader('SPY', 'yahoo', start=start, end=end)\n", "a1 = web.DataReader('LRCX', 'yahoo', start=start, end=end)\n", "a2 = web.DataReader('AAPL', 'yahoo', start=start, end=end)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation coefficients\n", "LRCX and AAPL: -0.780997533404\n", "LRCX and SPY: 0.935203512322\n", "AAPL and SPY: -0.589906301841\n" ] }, { "data": { "image/png": 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WXUHSxidlZmYSFxeHl5cX0dHRhjSJxvz8/IDC34/Tp09bLI/WKGTcLTUxMdHq\nU+6EhAQURSnQ79Xe88yW7a5cuUJ2djaKouQ6xiY/ZbF0ntlzrbOlHJC/+inI4+z+RxiFoHfv3oZu\nF7akIdROqNTU1Fy7L+RsldVabu3pt+zg4MDo0aP5+eef8fLy4uLFi0ydOjXf76OxlrbJuHXmblNj\nlS1bNl/9tI0HgtiaZjOnChUq0KNHDxYuXEhYWBjBwcH4+PiQnJzMmDFj8jX2wR621LFxi1l+nmwU\nhOzsbEMAX7FiRVatWpVri9Zjjz2GqqqcP3/e6jpaqiwtz3xBcnJy4qmnnkJVVUMq2erVq3Ps2DGz\n/4z7whb2fhw/ftxiebSB91rQa0t5ypcvX6A/ztr+5lYWbU4C424bWtq0vLbLq7tHznJkZ2ebZIUy\nZrxMe0/tu/zvv/+sNiDEx8eTkpJitg/W2Fs/hXmcGV9LcssFf/36dRRFyXemlgMHDjBs2DBSU1MN\n11hr8xLYW3eFRQuSPvnkE4vXCm1q+8Lej2HDhlksj5YhrVKlSoZ6y+/5ea/Ze57l51xSFMWm88Le\n88zea5019tZPQR5nxTaI37ZtG5MmTbK575v2xduSa934ILAW9J8/f97Qyqatr/3IXbt2zepFdvv2\n7Wzbts1s9HHVqlV58803KVGiBLNmzcLR0ZFNmzaZTUBgK63vdk7agQ7YND4gN1rfb+P3NHbt2jW2\nbdtmmODlkUceMdwh23IzlRdnZ2eef/55Vq5ciYuLC5cuXTKZuKggaHUdHx9vNZDXBjo7ODjkKy1i\nQZg0aRJ//PEH1atXZ/Xq1SZZbyzRctgeOnTI6joHDx5EURSreXJtlZ6eTo8ePWjTpg0HDx60up52\n45mflsXC3I/8lCcqKsrqD6L2HRR0eRo3boyqqrl+54cOHTL7brTtrH2nmZmZhrzItuyDu7u74fyw\nVpbIyEhSUlJwdHQ05KB/7LHH8PDwICsryzCpTE7a+2kp6/Jib/0U5nHm4uKCl5cXQK6ZZ7Rra35u\nGmJiYhgyZAgZGRm89dZbTJ48Odfzzd66s9e///7L77//nms3TO03z9nZ2eaxXYW9H7bQ0i1aO6YS\nExMNv3MFea2w9zxr2LAhDg4OXL582WrAqm2n0+lsejpl73lm77UuN/bUT0EeZ8U2iD969Chr167l\nm2++McuyktPly5c5fvw4YJpoX7tIGXcxAf1jfC2vsLVZ9rTgulq1aobgvVGjRpQpUwZVVS3O2vnP\nP/8wZMghqZRTAAAgAElEQVQQgoKCcu2C0qBBA9566y1UVWXKlCl57l9Oqqryxx9/WPyMXbt2AfrB\nlRUqVMjX++akpT08ceKEIZuPsU2bNjFs2DBmzpwJ6IPa//3vf6iqyg8//GDxPa9fv07Xrl2ZNWuW\noVV9165djB071mJaTNC38NvSZ+5eqF+/vuHRmLVj49dffwX0J3BBdjfJy08//cSPP/5IuXLlWLx4\nsU03ba1atcLd3Z2LFy9a7EsaGxtr+CG922xALi4upKamcvHiRTZu3GhxnbS0NMOEHflpnSjM/bBF\n/fr18fLyIi0tzeJxfPPmTcOMqMYpzQpChw4dcHBw4PDhwxZvwA8dOsSpU6dwdHQkICDA8HrHjh0B\n/SzWlp70bd68mRs3blCmTBmeffZZm8rSsWNHVFU1zAeQ09q1awH9bLDakzwnJydefPHFPLdTFIUO\nHTrYdPNnb/0UxHFmXN6cTxafffZZi7NLasLDw4mLi0NRFJtn7UxPT2fEiBHcuHGDN954wyz9rTX2\n1J29du/eTVBQEOPGjbN6jdc+76mnnrJ5YkQo3P3IT3l+/vlni0+WtfLUqVMnz9nq74a951nFihUN\nqWQtbZednc369esNs57awt7zzN5rXW7srZ+COs6KbRDfr18/PD09SU5OJjAwkP3791tcb9++fbz5\n5ptkZmbSqFEjQ4pFuNM6Hx8fbzbN7eDBg1FVlRUrVhjSImoOHjxISEgIiqIwcOBAw+tOTk4EBgai\nqiqff/45J06cMCy7du0aU6ZMQVEUWrVqlWdLwdtvv03Dhg25du0aY8eOte1LuU1RFNLT05k2bZpJ\nd6Djx4+zbNmyXKf+zet9jdWrV4+mTZuSnZ3NuHHjTFqmT548yYIFC1AUxTDRE8DAgQNxdHTk8OHD\nzJgxw+QkiI+PZ+jQoURHR3PixAnDAOTU1FQ2btzIjBkzLM5ktnz5cq5evUr58uXzFejZ02fU2dnZ\nkGs/ODjYLJ3Zli1bDBcoW/PtF4Rbt24xY8YMw1iCmjVr2rSdq6srgwYNQlVVJk6caPLI8OrVq4we\nPZqsrCxeeOEF6tate9fl7NmzJ6qq8uOPP/Ldd9+ZjCe4ceMGH3zwAZcuXcLR0ZGuXbva/L6FvR+2\nGDFiBKqqMmvWLMNEW6A/vt977z2uXbtG/fr1raZfNXY3WSuqVKnCa6+9RlZWFqNHjzbpZxobG8v4\n8eNRFIXAwECTG/0mTZrQokULbty4wejRo03SoB0/fpxPP/0URVEYPny42eDsdu3a0b59e7Mf4F69\nelGhQgUOHTpkNuHepk2bDKlQcwaWgwcPxtXVlY0bN5r9KIaEhLB3717c3d3NzsFt27bRvn17unXr\nZva92FM/BXGcGXeDyXl9CQwMxM3NjaNHjxoGcWvi4uKYNGkSiqLQrl07m5+0Llu2jNOnT+Pl5WV1\npmlL7K07ewQEBFC6dGn+++8/Ro8ebfJbk5mZyWeffcaePXtwcnIymXyxqO2HLQICAqhduzYXLlxg\n8uTJJjPm7t27l6+//hpFURg1alSBl8Xe8ywoKAiAb775xtBwCPqb0unTp3P69GmqVq1Kz549TbZb\nuXIl7du3Z/jw4Sav23ue2XutA/1s4u3bt+fnn382ed3e+imo40xRi2JupRxat25tcRrpnEX39PTE\nx8cHRVE4ceIESUlJhlb2ihUrsmjRIpMKjo+Pp02bNqSnp+Pg4GBIGeTj48PLL7/MxYsXWblyJaqq\n4u3tTbVq1YiNjeXs2bMoikLXrl356KOPTMqQmZnJsGHD2LlzJw4ODjRo0AAXFxeioqK4efMmXl5e\nfPfdd4bZGLVZY6tXr27odqI5d+4cL730EqmpqYwcOdKmoLB169ZcunSJkSNHsnTpUhwcHPDz8yMl\nJYWIiAiys7Px8/Nj9erVJjlLte3GjRtHYGCg2ftqM5y+/PLLJjOcXr58mV69enHhwgVKlixJw4YN\nuXXrFpGRkWRlZdGmTRuCg4NNBnKsXr2a6dOnk52dTYUKFdDpdNy4cYPo6GgyMjKoUaMGy5cvN5nZ\n7J133uG3335DVVVq1apF1apVUVWVM2fOcOnSJZydnfnyyy9tnuXM2v7ExsbSpk0bFEVhw4YNFruf\naP3Mt23bhoODA7Vq1cLT05Nz584ZUsANHTrU0O8y53f8ySefmM3kavy5x44dM/vMefPmMW/ePLPy\nWrNq1SqmTp2Kg4MDLVu2zDXoq1Chgsn4i6ysLEaOHMnWrVtxdHSkYcOGuLi4EBERQWpqKjqdjmXL\nlpkEG5Yyxhw6dIikpCS8vb1NujRomRg006dPN5xn2sysycnJxMTEcPPmTZycnJg+fbrF2W9zU9j7\nYYuPPvqIFStWAPrW39KlSxMZGcn169epWrUqy5cvNxsslTPzTXR0NJcuXaJq1aom17PatWvzzjvv\n2FSOW7du8eabbxIeHo6rqysNGzYkOzubiIgIMjMzadasGQsXLjRr0YyPjycwMJCzZ8/i7u5OgwYN\nuHnzJkeOHEFVVbp06WKYXdmYTqdDURTmzZtnNk/CwYMHGTRoECkpKVStWhUfHx8uXrzIqVOncHBw\nYMqUKbz22mtm7/nrr78yZswYMjMzqVmzJo888ghnzpzhwoULuLi4MHfuXLOJ+rTrrYeHh8WGH3vq\nx57jLC9dunThxIkTODk58eijj+Lj48PcuXMB/ROPsWPHkpmZSaVKlfDx8SEpKYmTJ0+SmZmJv78/\nixcvtvnznnnmGa5evUqtWrXw9vbOdd3AwECT1Mf21F3OjDFXr17l8OHDKIpidv3WsjuBPhnCiBEj\nSEtLo2TJktSvXx8nJyeio6O5cuUKTk5OfPjhh7z66qs27bexwtwPW5w6dYo+ffqQmJhI+fLl8fPz\n48qVK0RHR6MoCm+99ZZZsJcz801qaip79uxBURSaNWtmktJ55MiRNnf1tOc8A1i6dCkzZ85EVVV0\nOh2enp4cP36c+Ph4ypQpw5IlS/D39zfZRvud8/PzM5kkEuw/z+y91uUWE9lTP2D/tS43xSI7zZQp\nUwyDJ3Lau3cvq1evxtfXl9TUVP7++2/DuuXLl6dWrVpUq1aNHTt2MGjQIH744QdDcOjp6UlAQAAb\nNmwgOzsbd3d3AgICSE5OZubMmXTo0IH58+ezZs0aIiMjOX/+PB4eHjz33HO89tprFlvMnJyc+Oqr\nr1i7di0bNmzg1KlTpKamUr16dXr37s2AAQPMMs4oimIxyNJaRiZPnszcuXNp0aKFza05lSpVYt26\ndQQHB7N3716uXr1K5cqVefHFFxk2bFiekw5YYqmclStX5qeffmLRokVs27bNMPiwXr16vPLKKxYP\nyJ49e9KgQQOWLVvGwYMHCQsLw9nZGR8fH55//nn69OljlmLpiy++YNOmTYSGhhITE8OhQ4dQVZUq\nVarQrVs3+vTpY+jWdDf7Y7zMGgcHB+bOnctPP/3E+vXrOXHiBGfPnqVs2bK8+OKL9OrVy2r+9bxa\nUHNbnlt5c7py5QqKoqCqap6zGObMS+/o6EhwcDA//PCDYf+ysrLw8vIiICCAvn37ml3wcssYc/bs\nWZOxCjkH+06YMIHnn3+e77//nvDwcMLCwnBwcKBy5coEBATQu3dvuwZwFfZ+2GL8+PE89dRTrFq1\niujoaFJTU6lWrRrdu3dn4MCBFgebW8t8ExcXZ9LVztpgdktKlizJ8uXLWb58OaGhoRw5cgRFUahb\nty5dunShR48eFjMoeHp6sm7dOhYtWsTWrVs5dOgQzs7OPPHEE3Tv3p0OHTpY/Uxrx+4TTzzBxo0b\nWbhwIXv37mXfvn2UKVOGF198kQEDBljtH9q+fXu8vb0JCQnhwIED7Nu3jwoVKvDyyy8zcOBAq33h\nczuP7Kkfe46zvMyYMYOJEyfyzz//kJiYaDIJX0BAAI899hiLFy9m//79HDx4kBIlSuDv709AQAA9\nevTI1+clJSWhKApnzpyx2C3SmDaRncaeurOUMUarD+PXjbM7gb775qZNm1i6dCl//fWXoZ+2p6cn\nbdu2tes34H7shy18fHwM5fnzzz/Zv38/JUuW5LnnnqN3794Wu0pZynyjlSfnWAJtNnVb2Hue9evX\nD39/f5YsWcKRI0c4ffo0lSpV4o033mDQoEFWeyNYOz/tPc/svdblxp76AfuvdbkpFi3x1qSkpNCx\nY0c8PDxYt24dDg4ODBkyhB07drBkyRKTC99ff/1F//79adeunWHiioSEBNq0aUPVqlXZuHGjyQHw\n7rvv8ssvv/DVV19ZvMssqnJr7RVCCCGEEA+GYtsnHmD27NnExcUxbdo0HBwcuHLlCjt37qR27dom\nATxAs2bNqF27Ntu2bTP0p9u0aZMhQ0bOO7i+ffvmOghBCCGEEEKI+6XYBvHR0dGsWrWKnj17Uq9e\nPUCfsSYrK8skA42xxo0bk5WVxdGjRwEMj+Msre/v74+rqyuHDx8uoD0QQgghhBDCPsU2iJ89ezbu\n7u4mo5i1EcvaBCs5aa9rqYa09Y0HUGoURaFKlSokJibmuz+bEEIIIYQQBalYBvEHDhxgz549BAYG\nmoxEvnnzJoqiWM3N7ebmhqqqhgFgN2/eBLA6K532PvkZMFYU3E36OSGEEEIIUfQVi+w0OQUHB+Pq\n6kqvXr1MXs8reM05hje/6xcHOUenCyGEEEKIB0+xa4k/ffo0Bw4coG3btmazWpUqVQpVVU0mITGm\ntdRracK0VI9ai7yl9QGLacVyUxyDfyGEEEIIUXwUu5b4X375BUVReOGFF8yWeXl5AVicGArgwoUL\nAIYJLby8vIiKiuLixYtmOUuzsrKIi4ujSpUq+c6prigK16+nkJWVna/tRMFydHTAw8NN6qYIkrop\n2qR+ii6pm6JL6qZo0+qnOCt2QfzOnTsNM5Dl1KBBA5ydnTlw4IDFbQ8ePIirqyv169cH9NOI//LL\nLxw4cMAsQ83hw4fJzMy0OmlPXrKyssnMlJO2KJK6Kbqkboo2qZ+iS+qm6JK6EQWlWHWnycjI4Pjx\n41SpUsViFxcPDw/atWvH2bNnzfqGb9myhfPnz9O5c2fDbKAdO3bE3d2dNWvWmHXBWbx4MYqi0KNH\nj4LbISGEEEIIIexQrFriL1y4QGZmJjVq1LC6ztixYzl48CCjR4+mb9+++Pj4EBMTw7fffouXlxej\nRo0yrFumTBkmTpzIuHHj6NmzJz169MDNzY3Nmzeza9cuAgMDadKkSWHsmhBCCCGEEDYrVkH89evX\nTQamWuLp6cnatWuZN28eGzZsIDExEU9PT1599VWGDBliNhi2S5cuVKpUiZCQEGbPnk1WVhY+Pj5M\nmzaNV199taB3SQghhBBCiHxTVEmlUiCuXr0pfeCKGCcnB8qVKyV1UwRJ3RRtUj9Fl9RN0SV1U7Rp\n9VOcFas+8UIIIYQQQggJ4oUQQgghhCh2JIgXQgghhBCimJEgXgghhBBCiGJGgnghhBBCCCGKGQni\nhRBCCCGEKGYkiBdCCCGEEKKYkSBeCCGEEEKIYkaCeCGEEEIIIYoZCeKFEEIIIYQoZiSIF0IIIYQQ\nopiRIF4IIYQQQohiRoJ4IYQQQgghihkJ4oUQQgghhChmJIgXQgghhBCimJEgXgghhBBCiGJGgngh\nhBBCCCGKGQnihRBCCCGEKGYkiBdCCCGEEKKYkSBeCCGEEEKIYkaCeCGEEEIIIYoZCeKFEEIIIYQo\nZpzudwGEEEKIwhARcYzg4O3Ex7vh6ZlCUFBrGjXyu9/FEkIIu0gQL4QQ4oEXEXGM11/fQkJCSfQ/\nfU7s27eFVauQQF4IUSxJEC+EEOKBZNzyfvLkPhITWwEDAQVQSUhYxNSpa1m/fvJ9LqkQQuSfBPFC\nCCEeOBERx+jXL5zY2PfQB+3HuRPAc/v/A4mOfvt+FVEIIe6KDGwVQgjxwAkO3k5s7CDuBO1ljf7W\nKLdfF0KI4keCeCGEEA+c+Hg3TIN2Z0DNsZaKv79j4RVKCCHuIQnihRBCPHA8PVMwDdq7AwuMXlPx\n9JzPxIldCr1sQghxL0ifeCGEEAWusNM7BgW1JixsPvHxQ9G3yNcF1uHiMpA6dXyoWVORFJNCiGJN\ngnghhBAFynyQqUp4eAhLlxZcesdGjfzw9V1LfPwcoASQCrxCenpdatacwZIlQwvkc4UQorBIEC+E\nEKJA6QeZagE8QDSxscn06LGeZs3KFliLeEbGI8AIs9f1/eWFEKJ4kyBeCCFEgTIdZBoF/AWM5soV\nhdDQgmuVv9Mv3niAq3r7dSGEKN5kYKsQQogCZTrIdAvwJsb52mNjBxEcvP2ef25QUGuqVw/BeDBr\n9eohBAW1vuefJYQQhU1a4oUQQhSooKDWhIeH3M7bXgLTVvktQAn27DlLRMSxe9oa36iRH0uXwty5\nM/nvvxKFMqBWCCEKiwTxQgghClSjRn6MG3eG6dMHER+fSVaWCkSj71YzClC4elWlX797362mUSM/\nFi+WoF0I8eCR7jRCCCEKVETEMT788ARxcb5kZT0KzAZ+pbC61QghxINIWuKFEEIUqKlT15KQUAcY\niD5ojwQWYzrgFECRzDFCCGEjaYkXQghRoKKibnAngAeoB1THdEZVkMwxQghhOwnihRBCFChFKYt5\nq3t7FGUWkjlGCCHsI91phBBCFKi6dR3ZvTtnvva6NGw4n0cekcwxQghhDwnihRBCFKhJk7rwxhvz\niY8fij6QV/H0nM/MmX0laBdCCDtJEC+EECLfIiKOERy8nfh4tzxb0Rs18mPlSsnXLoQQ95IE8UII\nIfIlIuIY/fqFExv7HlrLenh47jneJV+7EELcWzKwVQghRL4EB2+/Pfuq5HgXQoj7RYJ4IYQQ+aLP\n5S453oUQ4n4qVt1pwsPD+eqrr4iIiCA9PZ0aNWrQpUsXBgwYgKKY/qBcuHCBefPm8ddff3HlyhXK\nlStHixYtGDZsGNWrVzd7723btvHtt98SHR1NRkYGXl5evPzyy/Tt2xcHB7nXEUIIjT6Xe85sM5Lj\nXQghClOxCeK3bt3KO++8g5eXF0FBQZQsWZLQ0FA+++wzTp06xSeffGJY9/z583Tr1o2MjAz69u2L\nt7c3Z8+eZenSpezatYsffviBqlWrGtZfsWIF06dPx9/fn3fffZdSpUqxY8cOZs6cSVRUFLNnz74f\nuyyEEAXKeHCqs/N/QBoZGY/kOfA0KKg14eEhRl1qJMe7EEIUtmIRxF+7do0JEybw6KOPsm7dOtzc\n9I9sX3rpJfr06UN0dDSJiYlUqFABgE8++YSkpCSWLFnCM888Y3ifxo0b079/f2bMmMEXX3wBQEJC\nArNmzaJmzZqsXr0aFxcXADp37oyjoyO//PILnTt35rnnnivkvRZCiHsvIuIYU6f+zJEjiSQn10RV\n7wxOhUVAc6BurgNVGzXyY+lSyTYjhBD3U7EI4jds2MD169cZP368IYAHUBSF5cuXm6x75coVdu7c\nSe3atU0CeIBmzZpRu3Zttm3bxrVr1yhTpgybNm0iPT2dHj16GAJ4Td++fQkNDWXdunUSxAshir2I\niGO88cZ+4uOnA3OAURgPToWBt1/3vz1QdQZLlki2GSGEKIqKRWfvPXv2APDss88aXktLS7O47tGj\nR8nKyqJx48YWlzdu3JisrCyOHj0KQEREhOH1nPz9/XF1deXw4cN3VX4hhLgXIiKO0b//fDp1WkL/\n/vOJiDiWr+31XWe0CZdKYGlwqv51/d8yUFUIIYquYtESf/LkSTw8PLh16xaTJk3izz//JDU1lbJl\ny9KxY0dGjRpFyZIlAX1/eIBq1apZfC/t9X///ddkfeM+8hpFUahSpQr//vsvqamplChRwmwdIYQo\nDPbkZs/JNKtMKpYGp+pf1/8tA1WFEKLoKhYt8UlJSQAEBgZSvnx5Pv/8c2bNmkXdunVZsWIFb775\nJqqqAnDz5k0URTHpdmPMzc0NVVW5ceOGYX3AcBNgaX3AsL4QQtwP9uZmN269P3cuEn2gDtAO+Mbo\n31qf+HbIQFUhhCj6ikVLfHp6OqmpqfTt25e3337b8HqnTp3o2bMn4eHh/Pbbb7Rr184s1WROWrCv\nye/6tnJ0LBb3Rw8VrU6kbooeqZu8JSSUxFL3l4SEkjg5Wf7ewsOj6d8/nAsXtNb7SBwcPiM7+13A\nH33gPgwnp1LUr5+Ou7sLGRmpVKoUyogRrWncuC4g9VOUSd0UXVI3RduDUC/FIogvVaoUycnJdO3a\n1WzZq6++Snh4OGFhYbRr145SpUqhqiq3bt2y+F5aS33p0qUBcHd3N7yu/Z1zfcCwvq08PKQvaVEl\ndVN0Sd3oHTwYxaefbuHy5RJUrpzK+++3o3r1DCx1f6lRI4Ny5UpZfJ8FC/7kwgXjwav1yM4GT89+\nZGdXBZJo2LAMM2b05okn/PMsl9RP0SV1U3RJ3YiCUiyC+Bo1anDs2DEyMjLMlnl6egKQnJwMgJeX\nFwAXL160+F4XLlwAwNvb27B+VFQUFy9epHLlyibrZmVlERcXR5UqVXB1dc1Xma9fTyErKztf24iC\n5ejogIeHm9RNESR1o281//LL7URFpXDmzEWys4OAeoBKWFgIH3zwCH/+OY34+JKAG5CCi0s8x487\n06XLDJOWc+29tm+/hnnrfT18fJqwefMAk1evXr1ptWxSP0WX1E3RJXVTtGn1U5wViyD+iSee4Nix\nY0RHR1OjRg2TZVqwXqVKFQAaNGiAs7MzBw4csPheBw8exNXVlfr16wPQpEkTfvnlFw4cOGCWoebw\n4cNkZmby5JNP5rvMWVnZZGbKSVsUSd0UXQ9r3axdu5kxY86TkjKWOznbvwFOAzFcuODKxIkbSE9/\ngjtpIVXS0xcQGdmSyMi6HDoUwtKl+u5/+gGwY9GnizRvva9Y8ZZd3/PDWj/FgdRN0SV1IwpKsegQ\n9Oqrr6IoCl999RWpqamG19PT01m5ciWKotCmTRsAPDw8aNeuHWfPnmX7dtMBX1u2bOH8+fN07tyZ\nUqX0j587duyIu7s7a9asMeuCs3jxYhRFoUePHgW8h0KIh1VExDHeffdPUlJGY5qz/U3gN/RB+zAS\nEx8nOTlnXvchwBa0Qa7Tpv2cYwCs+eBVGbAqhBAPhmLREl+nTh2GDBnC/Pnzef311+nZsycpKSn8\n9NNPnDx5km7dupm0oo8dO5aDBw8yevRo+vbti4+PDzExMXz77bd4eXkxatQow7plypRh4sSJjBs3\njp49e9KjRw/c3NzYvHkzu3btIjAwkCZNmtyP3RZCPKAiIo7dztnuxrlzkaSmVsVyznY/IBp9oH7V\nyjp38rqHhSnUqWPc8q71c/8cd/cEWrb0kJlVhRDiAaGo9qZfuQ9+/fVXvvvuO06cOEF2djY+Pj70\n6NGDV1991Wzd+Ph45s2bx86dO0lMTMTT05PWrVszZMgQypcvb7b+3r17CQkJMUwWldt72+Lq1Zvy\n+KyIcXJyoFy5UlI3RdDDVDd38r1rreUq+m4vL6LvA69RgcnAI+hb5XPOsIrRtqNv/z2bKlVOEBcX\nYrZex44zWLJkqF1lfpjqp7iRuim6pG6KNq1+irNiFcQXJ3LSFj1yQS26Hqa66d9/PqGhWspHjT7V\nI8zjTmD/KZB0+/8KsBGIwbhPvD6ve3OgLvpuM83w919NUtIjJjcJ1auHsHRpY7tb4B+m+ilupG6K\nLqmbou1BCOKLRXcaIYR4UJjOmqpRAC/gc8AFB4cjVKmSwqVLNVBVBYgCLqNvrdevc+e1JPTdbdoB\ndfH2dicoqDFz587kv/9K4OmZIl1ohBDiASRBvBBCFCJPzxQsZYypWjWGRx+th6fnDYKC3qRRIz+6\ndv2U3btV9EG61gJfz7CNi8ubpKePwbjFXQvYFy+WoF0IIR5kEsQLIUQhCgpqTXh4iIXuLgPNWssn\nTepCv34hxMa6Yqn1vk6dx/D2lhZ3IYR4GEkQL4QQhahRIz+WLsWm7i7auoGBi4iLM2+9r1lTYfHi\nIYVWdiGEEEWHBPFCCFHI8tPdpVEjP5YvH3i7Rd609V7yvQshxMNLgnghhCji8tN6L4QQ4uEgQbwQ\nQhQDMlhVCCGEMQnihRCiCDCexVVa2oUQQuRFgnghhLDDvQy678ziqk0CpRIeHsLSpUggL4QQwiIJ\n4oUQIp/uddAdHLzd6L0AFGJjBxEcPIMlSySIF0IIYU6CeCFEkZdXq3d+W8XvthVdH3R3BOYAJYBU\nYmNfJDg41K6g29osrvrX7SPdc4QQ4sEmQbwQokiz1OodFjYfX9+1ZGQ8grPzeSIjS5KU5IH+kubE\nvn1bWLXKcqv4vWhFP3PmBrCXO7OoqsA3t1/PP2uzuOpfzz/pniOEEA8+h/tdACGEyI2+1VvLjw76\nFuqh7N5dhbCwEeze7UhSUg1gNDAUGE1CQhWmTl1r8/vpu65st7lMcXGngGvAAmA2EA28SWLiZXt2\nkaCg1lSvHoI+kIe7zQN/L/ZRCCFE0SYt8UKIIs1aVxPQupokAwMxDlhhINHRb+fr/WztuhIRcYxr\n1x5Hf9NwpxUeoGLFWja9R073Og98QXTPEUIIUbRIEC+EKNL0XUoigd/Q9z+/fPu/NGAccBN9S7i/\n0VYKUDaX97Ov60pExDECAxeRmdnw9me7AJWBFGA5NWuWy8+umbiXeeDvdfccIYQQRY90pxFCFGnt\n2nnj6Pg7+v7nQ4EpgC/wLvAJsAzYA0QZbaXi7+9o8f3s7bqi9TOPiwsBWgG1bpdF34UHKtCunbdd\n+3iv3evuOUIIIYoeaYkXQhRpW7acISvLNP0ivADMBRoAqcCLwK/oW+NVPD3nM3FiF4vvZ2/XFdM0\nkFu4M6hVK9MYtmyZQbdutu1XQWaPudfdc4QQQhQ9EsQLIYo08/7dUegzw3yFcZ90D4+T+Pl9aQhY\nAbp2nUJU1A0UpSx16zoyaVIXGjXys6vrij7zjJZS8hSWuvDkp199QWePuZfdc4QQQhQ9EsQLIYo0\n0+7i2twAACAASURBVP7dUUAwdwJ4bv//TUqW3M+mTf0BfZD8+utbSEiogzbodfdulTfemM/KlfkP\nlCMijnH6dFlMU0ouur1UC+RVnJ3P07///Dxb12VyJyGEEHdL+sQLIYq0O/27I4G/gPpYyrxinBkm\nOHg7CQklyZm1Jj5+qF1pFqdO/ZmUFC0bDWgZcPRdeABUFOUDoqJqEBr6HmFhIwgNfY9+/cKJiDhm\n9n6SPUYIIcTdkpZ4IUSRpvXv7tnzIxITHwcSgc+A9hi3gl+8eI7+/ecTFNT6djDshC2Bsi2zwe7f\nr1h8L31Z5gOpqKozV6+OIGfr+tSpYyhbtqLJ+0v2GCGEEHdLgnhR7Mh08g+n5OQnsNydpS6wiCtX\nhhMaWpfw8BC8vc8DVcgrULalb3pw8HbS08tafC99EF/j9r8tBfrR7N9flfT0O+UODw9h3DhvwsND\njCZkkuwxQggh8ke604hiRQu6bOmyIB4c+kA6ZzaYgcA8YDDQHH2rvL71W1FcqVjxFvpA/06aRU/P\n+SaBsi0zm549q6Jv9f/G5L30g1yD0KeYHAWURt/lx9ivZuWOjR3Eli1nWLq0MZ06zaRp0y/p2HEG\nS5c2lptRIYQQNpMgXhQrMp38w8n6rK2l0Le4g37Q62xgAZGRiXz4oS+NGkXg7NwPJ6d3qFChD5Mn\ne5oEyrb0TU9IOI2+tb8Z8Dn67jOD0ae1rGdUltG4uMzHONB3cUmy+P5nz6oEB2+3mP4xIuIY/fvP\np1OnJfTvP19uUIUQQlgk3WlEsSIDAh9O1vqQQ1X0reDTgfJo3W2uXlV5553ZKEoyGRnvAfVITIzk\n3XcX8tVXp6lZUyEoqDXOzufR9693A86jn4G1EufORRIRcYxGjfyoUKEycXHfAG/e/txfgTLcCeA1\nCnXqPIq3953c7ElJKrt3m5f75MkLREbOI2cXHqDAU08KIYR4MEgQL4qc3Pq8y4DAh1NQUGuzPuT6\n7i3tbv/bDRiC8ROazMzR6Fvm9wKngcukps4jMlIhMlIlLGw+GRkl0c+2Go1+1ld9Npu4OJV+/fTB\ns7e3O1FRzwAfABVvrz8HS8dhzZoKixcPMbyi7/5lWm43t9mkpLyN+dOkGQAWUk82JzDwS7y86skY\nECGEEAYSxIsiJa+BhpaCORkQ+OAznoF0x45r3LhRAX0Ar2Wnsdbdxg19C/pb5MwtHx8/FH2Qb3kG\nVi2wDgpqza5di7h2LR74GH3AH48+kL8zYNXScWhc7tOnk0lMvMy1a2WB325v52/4vDtPk8wntoqL\nCyEuTlrmhRBC3CFBvChS8poER6aTf3hpM5D27z+f0FDjgBvAWneb1NuvVcR6kA/6WVgtd9P6558z\nJCc/CtRGH8D/BXxy++85KEoCLVo4MHFiF5N+7cZPk9q18+aTT5KIi5uG6ZME0Afy+omiTp68lmM/\nrN9caJNCSbYmIYR4OEkQL4oUW/q8y3TyDzdLT2MqVryFosy/3bquoM8SsxDwQt/n/TSWg3ytG1aq\nxeWenilMn76N7OwQ9C3vv6LvTqOtF4+qXmPfPhemTv2ZSZPgn3/O8O67f5Ka6gekAR3Ztm0hqanz\nMA7G9U8I5gB1qVhxGidO1CQ+viX64P7N2+u4ktv5YEuKTCGEEA8mCeJFkSJ93kVeLD+NaQfAtGkT\n2Ls3icxMb/TpJ/WBraPjTBwd3yc9/VPDa4oyC0XZRXb2dcAdGAa8jX7AqkrFitNISkrjv//Kog+2\nawP7b28fBawHagEDychQ2L1bJSDgPRSlAhkZdz4bviE11QtLwbi7eyItW84gKSmN3bu1GxAFfRYc\nF1xd/yItbSjWzoe8nlwJIYR4cEkQL4oU6fMubGHtacy6dX507fopu3cbt5YrZGWNpX79kURHDyQ9\nvQpQFlXVoapl0Qazgoqr6ywee2wN5cqlcuJETaPAWuv+cun231vQd8UZaPI5mZmVMG2p11rc38LS\nzWnLlh4sWTKUTp2WGC3zR+sr/9hjcSQlWT8fJFuTEEI8vCSIF0WK9HkXdysjoxL6/upb0Pd1TwXa\nceqUM+npOu4E2bPJ2d88LW0M3t4zAHejrjlwJxjfg34CKa2bS84A2toA28q3s9Jon32npb9TpyWc\nOxeJvguQcdpKFW9vd4KCGls9H+TJlRBCPLwkiBdFjvR5F5bYOoBTn/t9D8aZY2A2ycn/ATfRB/ig\n7xLzAfr88E7oJ3RyJDQ0CgeHKlgOxiugnx02GH33mpwBtOWgukSJRGbN8ue33/TBuLPzeSIjS7J7\nd7nbn+0LrAB6oXXncXT8nHbtvHM9H+TJlRBCPLwkiBdCFHl5DeA0DvBPnowHZmHaiq7ldh8FTEM/\nWdNicuaH1wfgM8nOvoClYNzV9SJpaXWBIGAt+lZ5423j0Qf4QYbXHBxm8Nlnz9KtWwDduunfqWvX\nKSQl1cix7SLgI6AFkEpW1ot8//1qunULsPq9yJMrIYR4eEkQL4okSZsnjFkbwBkYOIgJE9ryySdJ\nt5dHA3FYbkUvcXv5BWAi1vLDw1igH6ZZYvQt42lpPYxeT0Of9WYo+psCZ6A3+hZ1/cBUOIKfXyWz\nQDwq6gY5+9Pr/x1++/30wsIUw8yx1siTKyGEeDhJEC8Kja2BuaTNEzlZG8AZF9eQMWPOk5LSDtiE\nfhKlbCynkzyEvn98A6NllvPDQzmgMvpgPBZn50QyMioDjwGn0AfaJdGnr8zpkf9n787jo6ru/4+/\nJiEbgRBiAsGoIWCoELCEQinIt1r0UYNCkJamUfz6Danli2z9FdGWr2CruAECiuCCLGK1YiliNWC0\nCCJbWQpRCLgg0CwYzEJYE5MM8/vjZrbMDSQhCTPJ+/l4+DC5c+bOuXMmPD73zOd8Ds5AfBFxcWc9\nWlgs4bW8brhbnysqwlm4cKMqzYiIiAcF8dIsLhaYA27BfWlpEfn57ukQKpvXutW2gBO+r14s+ieM\n2fBFGLPt9jSXgxi13UsxgvvrgfUu5zKvDw8xwAng58BCKitfw1h4+hHGRk8WjAC+tg2mjJ+Dgw8x\nZcr/eFxPr17+bN1q9twAl5+XAsMoLNxwqbdHRERaIQXx0ixqS4eYNWsGR45c5/LYASyWFzBymv2B\nJIxyeyqb15qZLeA0gtyk6t8rcabFJFQ/azoQATzk8pz5GDPxC4DfVz+/Zl77i8AwjIWu44Hh1ef7\nEPfUm2EY+fVtMarSnACOAn0wAvwCnn32p6bfHj366EjGjHHdnMpGQMBsKisrgMXYK+pAL6Ki3m/w\n+yYiIi2XgnhpFrWlQ2RnWykpsQdm2cAObLaX8dyavpfK5rVycXFf891391JZOQgjH91+g2fDYinA\nZnP9fCUAUXjmu08FxmBUpVmAUSoyF/gzUIFRfabMpf3VQHL176cxbgLsZSvjq9tPwH1x6k1AL9q0\nmUuPHnGm19K3b0/efNN9QWpSUlx1br8qzYiIyKUpiJdmUXs6RKnLMbNFhvcD84iMXOOoqa2Fri3T\nnj3ZzJqVwYkT7lVWnKlYc3FWk3HOYMfELCE0FL76qubny4rZjSPEYZRx7F3jscXV57XP2PcCQqsf\nywbCcC9bOQnnrrD2c/+2+rkJVFU9dNEUMLMFqT16HFKlGRERqRMF8dIsPNMhDhAc/BKVlaEYqQfD\nqG2RYVjYYSyW3m67Z2qha8uyb99Bxo7NIifnYWqOsXsqlj1VZj4REYUMHhxOr15BPPdcJ4w0GPus\n+AHgMOY3jkdrOW7PZbcAQVgsz2Kz2W8+zW4we2J+kxDs+Lm+KWCqNCMiInXld6U7IK2DUc86kREj\n5pCQMIOQkEzKyxdx5sw8jBre2zByim01nmmjbVurx+6ZxkLXjc14BdKUnn9+Izk59nKO4DrGnqlY\nCcCDxMd3YcqUoSxceJiKimcw0mLmY8yov4BRq30pzs+UfYb91xipNK7H7fn1xu9BQduw2YYBv6xu\nW4JnwP49Zp9X14WtgYHf1fetEBERqRPNxEuzsc8ypqcvJjvbvv082NMQwsLGUFnpvjV9TMwSOnbs\nRkGB54xnfWc59+07yIsvfkp+fgCRkeeVqnCFuZYc/frroxipMgkuLSyOikVmM+dRUWUsXLiR8nL7\njLhracfFGOkyFpy57+UYee0jMWbqx2MsQt2CUTfeyK+PiVlCeHh3srPt6TYJwDyTPtxefdz5eTVy\n4pMcPx86FHTJOu8iIiINoSBeml1ti1x79hzIrFmDPHKCFy7cyIED5kFcXWVlHSI9fR95ec6cZqXk\nXDnuJUcPYlSXeQvjy8FfYw+o7Z8BZyqWUTIyMLCU0lIbJ09aMMoy2mfAa5aOTMB5Y2CfiQcjwO+D\nsSHTBeAFAgOjGDjQxsyZI1m48CTZ2a6fObMqNh8SFraFH/7wJBUVnTh8+N8UF19dfS2ZQBJFRb1U\nGlVERJqEgnhpdhebWTXLCZ4yBY/ygvWt2rFw4Uby8jxLXCrAujKcee4Hge24z2YbKTAxMdsc35as\nWAGPP/4wu3ZFU1HxIBUVFrZutRESMg+j9vtSjJlx+26qZkG3e8oMfA5cA7RhyJD2PPposuOGzvMz\n1wv4C0YVm05AGZGR5/nrXx9xPGfECCgu/p3Htao0qoiINAUF8dLszGp+Xywotwdxl1O1o7bZfwVY\nV4ZzPMwrEkVHj2PFit86xrhv356Eh19FRYV727KyBwkOnkR5+QMYGzGV4uf334SEXMW5c8EYQXco\nxmLWidhn+I0Z+Y4EBp5j/vy7SEm5w61/rp+5o0cvUFR0hLZtAzl/vpjIyGC6drUwZUqS22fwYjen\nIiIijc1ngvhFixaxaNGiWh+PjIxk69atjt/z8vJYtGgR27dvp6SkhI4dOzJkyBAmTZpETEyMx/M3\nbNjAypUrOXjwIJWVlcTGxjJq1CjS0tLw89P638bUkKD8cqt2KMC6fK457A0tf2g/x9dfl2JUJbqA\n2c1VbGxvj3PXdiN2/fXXEBe3rvqz1JYpU6Ywc+YOdu50nRXPBj4kJGQl4eGlRER0Ji6u40WvoW/f\nnkyeDGPH7qOg4I/Ybzj9/Zcwf36ix/Pqe3MqIiJyOXwmiAewWCxMnjyZ66+/3uOxoKAgx8+5ubmk\npKRQWVlJWloacXFxHDt2jBUrVrBlyxZWr15Nly5dHO3feOMNnnjiCRISEpg2bRqhoaFs2rSJOXPm\nkJ2dzbx585rl+lqT+gTljRE8TpkylKysJeTlKcBqCPcc9vqvKcjKOsTjj/+NXbu6UFHhPIdRa71u\nN1e13YgVFR1h/vzf1pgV31ijbQLQi1tvnc3y5Y/W+bpr22nYLA2rMb4xEhERqSufCuIBBgwYwIAB\nAy7a5umnn6a0tJTly5czaNAgx/HExETS09OZPXs2zz33HABFRUXMnTuXrl278tZbbxEYGAhAcnIy\n/v7+rFu3juTkZG6++eamuyip1eUGj3Z9+/bk//7vGE8+OZ7Tp68iNLSQ6dNvU4BVR/UJZmtyjmE0\nnqkzD2CxzMZmc45vbTdXZjPdsJSCgt8xduw2t8/E5c6K228cP/nkNGaz/7WlYanOu4iINJcWlydS\nUlLC5s2biY+PdwvgAQYPHkx8fDwbNmzg1KlTALz//vtUVFSQmprqCODt0tLSsNlsrFmzptn6L+6M\n4NEeiEFDa8RnZR3iz3/+jvz8lzlz5ikKCpbw2GOFZGUdavQ+tzRZWYfYtu0YRn75/wJzgEeB6Xzy\nyWnS0xdf9H10jqFZOkxvevU6S3LyXP7rvxaTnDyHFSs8U1XAuddAdPQ4jJ1S5wODgd4enwnXfQkG\nDnye4cNn13pes+sdO3YfGRl/4OzZqzCrBa80LBERudJ8biberqqqigsXLngE3vv378dqtZKYmGj6\nvMTERA4fPsz+/fsZMmQIWVlZjuM1JSQkEBQUxN69exv/AuSSsrIOsX17KY2xIPXxx//Bd989gevN\nQGHhRGbNmsGaNZo5rY09oD15chKwAyOQt8+Cv8jZs7lkZLRj/fqljBkTycmTYR5pT85cdtcSkHY2\n4uLa8dprE+nYMZSTJ89RVXWh1v707duT2NjeFBT8DGNR7CfYyznW/Ew0dFbc/VuHJJwVb5SGJSIi\n3sOngnibzUZmZiZPPfUUX3zxBTabjU6dOjFixAgmT55McHAwubm5AFx99dWm57Afz8nJAXC0d82R\nt7NYLERHR5OTk0N5eTnBwcEebaRp2IPHkpJIGmNB6sGDVsxuBrKzrZfX0RbOGdDOxzMVZgLGZkeT\nuHDhAH/5SyaupSLtaU/OXPb6B8Rm6yECAnKBNUDb6lY2YA0BAacb5ZqPHauZSw+wgLZtv2Po0HDl\nuYuIiFfwqSDeYrGwYcMG/vu//5upU6dSUFDA6tWrWbZsGXv37uWNN97g3LlzWCwWQkLMZ2pDQkKw\n2WycPXsWgHPnzgHQtm3bWtsDnD17VkF8M3KvI375M6GVlScwuxkwjotdzaDZGdAGY3YTZKTIAHyI\nM4A3HrPnzCclxfHxx/adeAHmY7EUERGRz/Tpd9YaENe2HqJt2wKgB+414F/l7NmCel+fWUBeVHQE\ns0WxYWHjWL78kUu+hoiISHPwmSB+xIgR9OnTh379+tG+fXvH8dGjR3Pvvfeyd+9e/vGPf2CxWLDZ\nauawOtV8zGKpGZhcvH1d+fu3uOUGzaqoqC1GEOWcCYUgIiL28/rrvyExsVe9zhcYWI7n5j+vEhhY\nTps2GiuAffsOVu9q6wyag4Pt1WPMU2GM41BbkP+f/8Azz5RSVpaEMYaBwBFsttspLh7BM88soWfP\nL+jfvzfg/nezaNEm8vMfpuaNQUDAZpzjSPX/f0tOzgMXHUuz68vKWsLKlRYSE3uxb99Bnn9+I6dO\ntaHmjSMsJTKyc6v9rNjHRf+ueR+NjffS2Hi3ljAuPhPEx8bGEhsb63HcYrEwduxY/v3vf7Nlyxb6\n9+8PwPnz503PY5+pt98ItGvXznHc/nPN9oDbjUNdhIVpE6HLERNTiTNoTMC+Sc/QofMZOvTi1YnM\nXHttIsXFN2G/GTCCzySuvbaUjh1DG6/jPuzFFz8lL889Zaa8/AFCQuZTVua6G6rzJsi5A6p5kF9c\nfITjx1+pPt7bcdxYIJtLXl4ZTz65ho8/HsCePdk880wmJ04E07lzOTk5FsxuDGy2q02PWywdLzqW\nZteXlzeOl16azx/+0JaxY7PIyXkYI3VoEO6fldu54YbTrf6zon/XvJfGxntpbKSp+EwQfzFRUVEA\nnDlzxhHoHz9+3LRtXl4eAHFxcYBxc5Cdnc3x48fp3LmzW1ur1UpBQQHR0dFudejr4vTpMqzW2hfo\nycVNmPBTdu50r+t+zTVLeOCBn3Ly5Ll6n++662xkZfXCObMPYOO66zIadL6WKD8/ALPqMd27r6Jb\nt/VkZ39Hfv4Y/PxiKC//igsX7CktALfjnjdvjFd4eCeOHzdLw7kRYwdVG1u3zueVV1bz1FOl5OQ4\nn+/8FsD9xqBDh2KKiz2PJyT4XXQsza/PwsaNhZw48VdycuwLn5OA7cDvaYzPXkvg7+9HWFiI/l3z\nQhob76Wx8W728fFlPhHEV1RU8Mknn1BVVcUdd9zh8fjhw4cBuOaaa7jxxhsJCAhg9+7dpufas2cP\nQUFB9OnTB4B+/fqxbt06du/e7VGhZu/evVRVVV2yLr0Zq/XCRatsyMX16XMDy5fbPDbO6dPnhga9\nr5Mm/Yy9ez03e5o06WetapwulhMeGXkeOICR3x6MfQa6a9d2LF36gNt50tMXk5HRExgPRAKFwA+J\njh5HbGxvx7kXLjzJgQNmaTjfV/9soaJiKo89No5vv12C57cA9lx655hNn57EY48tprBwouN4VNRi\nZswYedGxNK7Psy8lJZHs3OlaBcmZwtWuXRG33BJ2WZ+9lkT/rnkvjY330thIU/GJID4wMJC5c+fy\n7bff0q1bN2644QbHY2VlZSxduhSLxcIdd9xBWFgYSUlJZGRksHHjRoYOdS6AzMzMdOzmGhpqfC0+\nfPhwFixYwKpVq7j33nvdFrguW7YMi8VCampq812sODTmxjl9+/Zk5UoLL720gLy8NkRGnm91VUYu\ntXFWUlIcH3zwEVarczbc338BSUlxHucyNlPaR37+y462ISHzuOqqzm43B1Om4LLp0kHgA6AUY4uK\nbIyA2cKZM1GYfQvQrdsqunXz3AG1R49DzJo1o7q6UCk/+EE74McXvf7aNouCYVRUfIDZYtZbbpnN\n8uUT6/lOi4iIND2LraErN5vZjh07GDduHEFBQfz6178mPj6e7777jr///e/k5uYyZswYZsyYAUBh\nYSEpKSmUlpaSlpZG9+7d+frrr1m5ciWdO3fm7bffJjw83HHuf/zjH0yfPp34+HhSU1MJCQlh/fr1\nbNmyhfvuu4/p06fXu7+Xqnctza9NG7861SJvqYzZc9ddVwFsDBnyEOHhkWzfXlpd0nMYztloG8OH\nmweyWVmHeOGFTRw9eoHDh/MoL38AI+/dmDG3b66UlXWIxx9fza5d0VRUOG8QjAB6MNCLLl1qzsSb\nv7b9m4SjR89y5Ei42yx9YOAfCQr6joCAzvTq5c+jj470uEn729/WM3lyJjZbf+zrIoxrzSYwMNOt\nf67X0Nq19r8db6ax8V4aG+9mHx9f5jNBPMCXX37JkiVL2LlzJ6WlpYSGhtKzZ09SU1NJSkpya1tY\nWMiiRYvYvHkzxcXFREVFMXToUCZMmEBERITHuXfs2MGSJUscm0V1796d1NRURo8e3aC+6o/28tSl\nFGB9tfZ/UIcOXcSBA643pNnAX4AI4CE8g2sjkB848Hnefz+91vPWdnPgGoDX1gbmERPTnkce6cgz\nz5wiJ8e5cDYychY33PA9lZWdiIoqIykpjqefLq2eSa9Ztz4b2IZr9aGoqMW8+eaP3T43Rj/a4F4O\n0+jLkCEP0bFjlMesv+hvx5tpbLyXxsa7tYQg3ifSaex+8IMfMG/evDq1jYqK4rHHHqvzuQcNGsSg\nQYMa2jVpRJdK+5CGca9/no2xeDOSmvXdjQo087FXBLrUxlrOHVldue+qW1ubiIgiVqz4Kf37JzBg\nwDFmzZrLiRNBBATk8uWXXdm61Zn3btSaT8K8bn0mNTejKiycyMKFs1m+3PmZMfpxGzUr7QQGzufR\nR1P0+RIREZ/h+0UypcUxNnqy5y2Dc+OgjVeyWz7vqqs6YwSvNoyg936MzZrMqscEU9eNtZw7srpy\nD/5razN4cLgjcO7fP4HXXpvI+++nEx4e6bJw1eiTkTrzIcYNyFbgWWAxxq6x5jvyfvLJadLTF5OV\ndcilH70wvmlY4Hj+j3/8rQJ4ERHxKQrixevUZWZX6i8urh3O+uclGO+xvb67KxsREfsZPnx2nXLC\np0wZSkzMEpfzeAb/dWnjqrbPABRg1KcfgvENwkSMGfj/mF7H2bNXkZHxB8aM2UVW1iGXfvSqft4E\nYmLa8+ijKRe9RhEREW/jU+k00jo4Z23dc5YvldbhTZoip/9yGdVZtpGf/3uMdBkbxsJO99QSY0Fn\nep3727dvT1aswKMcqOvz69LGVW2fAbDv5XAz7ilAD2DMzE9zXIdxXUb6TWHhRGbNmsGaNX+sVz9E\nRES8lU8tbPUlWsjScM6cePea7pdbKaS5Fhk1Vf8bq28vvLCJI0fOuFR3OQhkEhh4koEDbcyc6VnV\npanVHBuz99C1mo1xE/JgjbOMx/hysS3QBWflGUNExB/54otHmv5iWiAt0PNeGhvvpbHxblrYKtIE\n6jtr622MnH7XSiz2nH73RZZXgmvtfSOgt7/HlUyZkuw177H9M5CaOoGSkt64l4MEqLmDso0uXaxc\nd11P9u7dRWXlXDxn8UubvuMiIiLNREG8eKXG3OipuR07VjMNBLwxp9/b3+O+fXsyeHAsGRkT8AzI\n9+NMt7Hh5zefRx65jZSUO/jFL3LZuvVVXMtNwqv06tWuuS9BRESkySiIF2lEWVmHOHw4D1/P6b+S\nXNcTBAQUERW12KVSjY3AwLlUVNyBsUA3CCjnwoXbyczMICUFHn00hXvuyaSoaD5GlZ0yIiPPa/Gq\niIi0KAriRRrRwoUbq3cudV8sGhIy75KlGlsb12C9c+dyZs4czunT5z32CIiMnMV//dcMKiqMTZ+O\nHj1LdvZIj/MVFn4MGDP4f/0rvPDCJr77roqoqCqmTEnymlQhERGRxqAgXqQRGSkzvTECUOdMcbdu\npQoiq2VlHeLxx//Grl1dqKhwButZWUuJjf2K/Pw5uK4nKCqaSYcOs1m+3Ng1Nj19MdnZF/+mw9tT\nhURERC6X6sSLNJKsrEP85z8HMFJpEoDbMRZkBlFcfMKx4VBrZq86s3VrNBUV7jus5uTcT3b2GS61\nnqC+NedFRERaIs3EizQCe3BaUPA7jFSaQcAO4HpgPQUFnUhKWsi0aT9i2rT7r2hfL0dD69/bn7d9\neyklJZGAebB+5kwQl1pP4OvVi0RERBqDgniRRuBeVtICLATuAL4BXgYsXLhgY86ceVx33XpSUu64\ngr1tGGftdmcKzL59S1ixwnjcuRj1O+B7KiuvJSqqjKSkOJ5+utTteUad9wMYqUd2NiorS4CZQDgw\nDOhlOsuudBkREWntFMSLVLucXVaNdA/77HECcCOwHnsAb7AAD/LEE+O8JoivzzXXVv9+1qwZHDly\nXY0g/VXgJqAXGzZMorx8Ee7vw1RgAvCiy3MWAH/ACOyNQP+qq55gxYrfa5ZdRESkBgXx0qrZg9ij\nR89W72DqOctclwDSSPdwTQMpByIxSxk5ezaqEa+g4S42s252ze43KnYWsrOtlJSMwz1I/y3GbHsC\n5eU9TZ8HodVtgoHPgCk4Z+aNQN9me0ABvIiIiAkF8dJquQex8zFmh+3B5kHy88+QmvoOgweHX3JW\nfsqUoezbt4T8/JuAD4ETwFFgDuCPc7dRG+3aFTbhVdWu5qx7aekZ8vOfoK47y3reqIBzJ9SD8jme\nhwAAIABJREFUQCZGQG7fXTW4us33ps/z9y/Can22+vfFuKfWGP2pqmrf0MsVERFp0RTES6vlnh4S\njDPIzAa2Aw9SUmIhI8M899s1/aRv355Mn36Uhx7KpKwsCWNR62ycqSJLMQLXj5gx47Zmu0Z74H7s\nmI3Dh/Oqa9gb6SqBgTMxmyGvbWdZ542KfdbdqAoTGVlFSck2nDdB9nSa3Opn3k5IyDzKyh50e15c\nXCRbt9qD+3LMAv2AgBON8TaIiIi0OAripdVyTw9xDSIzcZ+VN2aoH37493zxRWV1esj3wHD27dvm\nSD/JzDxanY5Tc1bfAtxPUNA9zJt3V7Plw5ulyxg3ExYggYqKcMwD51zS0xeb3qiYVYV5/PEcjPSZ\nmuk0f8II2Lcxffq1fPih+/MgkbFj7TcFSRiB/29d+voi0dHXOa6loesVREREWiIF8dJquaeHJOHc\nZdV1Vt7OwmefhWCzLcA1IM7Pv4mFCzNYvrwnx47Zz2X+/L59f9KsC1rNFqIa12fkqsMwAgPnU1Fx\nO0YKUBCBgfs4cCCG0lLzPHmzqjCVlTswu9527aq45ZbZjoA7JcWzj9OnH+WJJ8ZRVNSBqqp84Csg\nDuOm6nbi4jLqnbsvIiLSGiiIl1bLPT3EyFe3WP4Xm60Mo3KK+wy1zRaAe+53GfAGhYVdACgqOoIR\n3JunhrjWOm8OtS1Edeaq96JnzwV89ZXNkepSUWGjouJVjOtMwPgW4ibuu+95YmN7m86C15Yrf8st\nYSxfPtG0b+67ti7BrKqNvbRkbVVxasvdFxERaQ0UxEurZc9jf+KJcZw+fRXnz3+BzdYNY4OmiRiB\nvL3c4VzgO4xcedfc7/kEBBi531dd1ZmCgqUYO7XaZ/WNdoGB85t9R9HaF6IaNxkxMUto376zS646\n1KwsY6wP2ExBwRIKCoxr2blzMW++6ZwFry1X3n69NVNhnHXjo/FMO/otEREPMHhwV8fNQmGh+Ux/\nbbn7IiIirYGCeGlx6po/nZV1iKefLqWgYAnGzPM23HOy5wOrgfZACcYuo/bAnOrn2PjsMwvp6Yvp\n2LEcY6fWj4BTwHigO3CYH/84rNlTP6ZMGcrOnYspLJzouKagoLlcf/1p4uKMNJfx47/CWebRXlUm\nAbBWn+Vt4DFcA+3CwonMmjWDmTOdi3zj4nLp1m0GFRWd3N5zs1SYjz+eV734dzNmwXlFRYTbkdpu\nRpr7mw0RERFvoiBeWpSL5U/375/g1tY9TcNzMavx+3zgQYwg8m6cAe8RIAB4mjNnjAo2UVGLCQ//\nG6Wlj+GaHhIZeQ2PPprUxFduzmYrcelzGe3bl7NgQbIjwD52LAr3bxaWVv//cPUZKjELtLdtKyM5\neaVbtZuYmCWsWJHodrNilgpjzPzPt/eQmsH52bNXkZEx1TFul5rpFxERaY0UxEuLcrH86ddfdw/i\n3XPGzRejOvPHLUAsnmUUnbnjhYUT+a//mgHMIDvbCpTSq1c7Hn005YoswFy4cCNFRe5lJIuKbI5c\n8oULN3LhgtnC10mEhfnRs+fz7N37LZWVnoH2hQsxlJdPxbXaTX7+OB5//CHCwyMd34I4F/u6sgBB\nwM+omXZk/J6Ee977RNOqOFrUKiIirZmCeGlRalvMaZY/7Z6mYb4Y1Thu/zkK94DXNXfcOFZR0Yn3\n30+//AtpINdUoq+/LqW29yIr6xDbt5s/DqG0bXsSgLCw7ykufhHnQl/3QNu92s3B6oWqzhud4OBJ\nmL2vwcGHKC+3L3qdj8VSgM0WjTOdx9lXwLQqjoiISGumIF5alPrkT7unaZjVKX+1+rituhRjD2Ae\n5ruSGq9TW4315uCZSvQstdWBHzs2mJKSQJPHDwAdKSiYXb2QdQrwR+DPQBUQQc1A2/kefEBFhfsi\n2fLyB0w3epo+/acudeMrOXUqkC1bXNOZjL4q711ERMScxWaz2a50J1qikyfPUVV14Up3o9VxBrLu\n+dMrViTSv38CHTuGuo1NVtYhXnhhE9u2naSk5BzG4tUYIB9oT0REKL16VbF/fz6nTnUHwoFhQC+M\nIP8bjJ1ZbQQG/pEOHa51W0hqlifeVNLTF5OR4Zoek03NxbqBgfNp3/5ziotfA6YD3XC/cZkELMLz\nG4nxgB/woslj04FILJYT2GxzPfqVkDCDbt3aXzQVZv/+Lxg7NoucHGdqTXO+d3Jxbdr4efztiHfQ\n2HgvjY13s4+PL9NMvLQote0qWlsgaE/T+NnPZlNSciM187PDw7M4evRGTp2ai3s6CRjB71iMoHcb\ngYEWCguvxUgvMWarm7OeuWcqkTFbHhY2jvLyzlRUhFNRMYzi4qDqdtdi1GRfgJGjXo6R92+WYhMJ\nnMaY3Z+G8714GH//SKzWB7HZ5mM28//tt0XExbVj1qxBgL2izQ63sUlM7MWaNW2ZNWsuJ04EKe9d\nRETkEhTES4vTkPzp4uITwCxqLvLMzx/D99+P8zjuzAOPAfKAIZw9WzNvHCCh2eqZm6cS9aJtWzh9\n2vXaMnHm+/fCmRoDzhScmptaWYGFGGk1YzGuuxBoh9X6cHX7Qoz3xX3xb0nJHWRkfEVm5kr8/GKp\nqDCvHNS/fwKvvdZVM1YiIiJ14HelOyDiDSIju2E2A+3vf53pcSO4tWHkiEdhLPw8iJEz/yJGnfi/\n0Jx53UlJcfj7L6juF4ANf/8FtG0biPs1JGHcZNg3pTpQ3e9FwCGM1JltGMH4RIwSm9diXN+fMUpK\nPgm8ArStPr4deLr63POB31WfMxo4ATxIVVU3KioewvWGyPimYmPjvhEiIiKtgGbiRYCuXS0cOOCZ\nChIWVsz582ZVa8qAJzDqqFuBP2HUjZ+B62ZRkZGzmDKleWrEZ2YexWodjmt6jNV6O+fPP4/7DH0C\nxsZPT/H991cBxYBzdhyeAQbjORv/l+rH7N8sWDDWCHyAEehbqs+dgHFDMAkjkLfPzJuX8dTOqyIi\nIvWnmXgRjEo1MTFLcJ3FjolZwowZt3kcNwLT7Riz8I9hzEo/BnTGCHzBCFZvx2Y7ysyZO0hPX0xW\n1qEmvQYjGO6N+wx6byIju5lc2zbmzRtJcPAFnAG8vd9/BN6ovkbXc0VhzNrby26Csci3GM/g/Pvq\n13MN3O1lPF2pAo2IiEhDaCZeWi3XmupRUWVMnx7nUvbQubCyR49DjoWygYHfcehQEEVFvXHWTgdn\n3fj/BX4I5ALXUly8nOJiY4b744/nMXfuUVJS7miS66mtvGbXrhbmz0/khRfmcOTIGYqLT9CxYzcy\nM09y9dXBHDlSMwA/WN3/azBSY+KBrzFm958BUlza9qJDhxxOnar5urdXl5bEpU/2NB7n4uGoqMWU\nlhZxxx3LiImpZMKEn9Knzw2N9I6IiIi0XCox2URUUsr7uJb72rMnu9ZSlJeqiJKVdYjU1HcoKXnG\n5FF7GsmzOFNM7GxYLP/LTTeFNckurllZhxgzZpdbicuoqMW8+eaP6du3p2n5TSPQTsKYwc/GSJmJ\nwpkCcwD4CPg9znSbVzGq2hhlNjt0yCYwMN6jtOb06eGsWrWHXbuiXTaAOoCf3wsEBYXRtu0JrNau\nlJY+5tafuXOvbbIbHWkYlcrzXhob76Wx8W4qMSnioxYu3OiyKRLYF1neeecYBg68+pJBdmBgMUbA\n/j3OzY9s1b+DkTfumf9ts93I1q3ljB27jxUraPRA3mYrwZg9N/LYbbbzjsfMrrms7EGCgydRXv4A\nsAOjlKTrpksf1vjd/o3DBOB6IIlTp35L374T+clPPL/FSEm5o7oW/xyOHr3A4cN5lJdPpqysN2Vl\nNW90jP5MmzaJHj3iVF5SRETkIhTES6vkWVMdwEJl5WC2bg3kV796k7g4Czk5wdhspSQktOPRR400\nkrFj91FQsAT3cpI2jCDYvojVnv9dc0Hs90BIk9SPX7hwI0VFM91es6jI5nid2q75+uuvoajo+epr\nqrmZk/liVGPmfqLjyMGDEcyZ8zPTwNte8jM9fTEHDrhuJGXen/LynixcuLFZauuLiIj4KgXx0irV\nlj9uBNm3cOpUKVlZ9nKIB9i6dSHDhq0iPPwkxcXus8dGjvcY4P9w1lxPwkg7cd0N1V7WcSFwsNGr\nstQWpNtf52I586GhvSkosOB581HbzUi52+8VFeGXDLw9+2c/d80qOEUcOhRMevpix3oFbfwkIiLi\nTtVppFUyq0ZjBNlJGCkk9gA+G2OG/RWs1vkUFy+v/j3b5WwWoG/1cfv5egHfYATxizBSXAZVn3sK\nsI2AgNxGvSZnkO7KWf2ltgo8U6YMdXmuffGpvc3tGNV4XN+n+dXH7b8vBYZd8qbEs39JGJVwPGvS\nf/PNl2RkDGfnzioyMtqRnLySv/1tfR3fCRERkZZPM/HSKvXt25MVK+C++8ZRUPBDjF1XA4FPgCLc\ndzetmRPuumMrGIGpP0Zt9fnVz78KOI5RvvEjjMouL2EEv72BBCyWGY16TVOmDGXfviUei3WnTBnq\nds32SjuuM9xTpsC//jWLoqK2wAVgPH5+5+nYsQ0dOsRy/vw4rrqqM3Fx7cjNPcxnnwFsxphNTwJ6\nERX1/iX799FH810Wufaqfo+ewf39nYBxA7QD+3tfXm7joYfm0aPHIc3Ii4iIoCBeWrG+fXvy+uu/\nJSUlg9LSbjhTX57FmUJSW054UPXP9motRiBr1Fa/naioT7j66mBycxdz+nQoVVVdMILTBMc5Kio6\nXfY11LVMpus1L1tmHgRbLBEYs+H2qjQfUlw81VEi099/CVOmJAJDTSv72G8WatO3b0969nyNzz6z\nL7wtB/pQ+/t7P67BfVnZg42+jkBERMRXKYiXVsk1+PX3z8WofW4PGIdhpJA8SG054V26fMZ11z1P\nYOB32GwVlJYWU1z8HBERnYmIOIbN9j2Vlb0ZPLiM0tIzbN061eMcl7vJkbNkpHO31X37lrBihfkC\n04sx3gvXyjUfcuGC+zcQzsW4E2ud0b9Uf/Pzo4H2eN4w1cyLz8EsuNfuriIiIgYF8dLq7Nt30CP4\nNfK6LRgz5QnAN1gs47HZOmOkyEzFddZ5xYrfmgatZrXYIyNnERW12KOO+qVmrs3O7TrrXlp6hvz8\nJ6gZaN933zhiY3sTFVVGUlIcmZlHL7lA1HPRqfk3EPYg+mIz+rVxVs85CCzAmG0vxN//IazWHri+\nx0aKzQGM1CM77e4qIiJipyBeWp3nn99Ifv7DXDzPfQQ33fQpHTuGcuTISYqLxxEZ2Y2uXS0XnXU2\nq8VeVDSTIUMeMq2jXldms+4Wy/9hFmgXFPyQgoJJwAE++OAjrNaaM/We9ek9K9eYfwNxOUG080bB\nfqNkaNt2LGfO2Gfmqf7/H/Hz+18uXHiFy7nxERERaakUxEur89135qUYXfPcY2KWNGhX1drrz1/L\nsmXpDeovmN8c2GxX4RloHwD2A4uBz7FaJ1Nzpt4sr9xzUezt+PsvwGp17tR6uUF0bSUuAwI6Y/ae\n9eoVR1xcw298REREWjIF8dLqdOpkHkza89wvJ2CsLVC93DQQ85uDYcBcnOUwD2BUwnkZ8zQhqC2v\n3KxyTVLSxRfJ1ldt1XPi4vzZutW8fv2yZRMa/HoiIiItmYJ4aXV+97uh/PvfnsFkbXnu9XGpMo8N\nZX5z0Av4CzCfwMCTwNdUVKzCPS3FsxxmbTcUZnnuKSmX1W2P85stiIVE0tOXkJfXuO+ZiIhIS2ax\n2Ww1d4eRRnDy5Dmqqi5c6W6IizZt/OjYMZSTJ8+xZ082L7ywqUlSNbKyDl3WuWsuYLUHsyNHfkpZ\nmX23WPss+2CMAN1G+/YPc+bMXJMzLgIm4bxZSfS6tJT9+7/gpZe2kJfXhsjI80qd8TKufzv6d827\naGy8l8bGu9nHx5f5bBC/bds2fvOb32CxWDh06JDbY3l5eSxatIjt27dTUlJCx44dGTJkCJMmTSIm\nJsbjXBs2bGDlypUcPHiQyspKYmNjGTVqFGlpafj5NWxTW/3Reh9f+AfVrLqNPfD+6qujTJv2KeXl\n4UAERm165wLRjh3Hc/LkS3imCY3juut6e3VeuS+MTWum8fFeGhvvpbHxbi0hiPfJdJpz584xc+ZM\nLJaaOcKQm5tLSkoKlZWVpKWlERcXx7Fjx1ixYgVbtmxh9erVdOnSxdH+jTfe4IknniAhIYFp06YR\nGhrKpk2bmDNnDtnZ2cybN685L018XG2z6DWP1ae6jWt99h494rjvvlcpKHAtLQlgIzbWj9On3Rej\n+vsv4JFHbiMl5Y6mu2gRERFpdj4ZxM+ePZvS0lLi4uI4evSo22NPP/00paWlLF++nEGDBjmOJyYm\nkp6ezuzZs3nuuecAKCoqYu7cuXTt2pW33nqLwMBAAJKTk/H392fdunUkJydz8803N9/Fic8yKwP5\nr3/NwmKJcNlIqfYyj1B7dRvX+uyvv/5bxo71zLtv164tVuvPcdZgL8dqvZ3MzIxGzW0XERGRK8/n\ngvgdO3awevVqfv/737Nlyxa3IL6kpITNmzcTHx/vFsADDB48mPj4eDZs2MCpU6fo0KED77//PhUV\nFaSmpjoCeLu0tDQyMjJYs2aNgvhWzmx23SwAN68R3xaYSM2Z9ccff4jw8EiPc9aluo19gejjjz9M\ndvYZLJZw4uL8OXkyGGNzJNcNkqCw8ONGeidERETEW/hUEH/+/HkeeeQREhISuP/++9myZYvb4/v3\n78dqtZKYmGj6/MTERA4fPsz+/fsZMmQIWVlZjuM1JSQkEBQUxN69exv/QsRnmM2u1zaTbj6Lbnbs\nILt2daGiwrlDqf2c9aluc/To9Zw8abTbutVGSMg8tMupiIhI69CwVZtXyNy5cyksLOSpp54yXXCa\nm5sLwNVXX236fPvxnJwct/auOfJ2FouF6OhoiouLKS8vb5T+i+8xZtftATU4c9Q3erR1zqK7Mjv2\ngUsA735OY5Y9kREj5jBw4PMMHz7btJqMWb/Kyh4kOPgll9dTqUYREZGWymdm4nfu3MmqVauYOHEi\nPXr0MG1z7tw5LBYLISGem9kAhISEYLPZOHv2rKM9QNu2bWttD3D27FmCg4Mv9xLEB5nPrh9k27Zj\njBix3C0VxmwWPTLyPBbLYgoLJzqOBQaWUlFx8bz3mvXaa6b0HD161qRfFq6//hrtcioiItIK+EQQ\nX15eziOPPEKPHj0YP358re3MqtW4qllNs77t68Pf36e+5GgV7GNSn7Hp3Lkc9xz1bGAbJ0++xM6d\nRlCelbWElSst9O+fwOuvW3j++bl8910wnTqV8bvfDQNwO3bypI0tWzzz3jt3LqdNG2ff9u07yPPP\nb+TIERuHD+dSXv4ARqpM7akz3br58dprk+r3xniBhoyNNB+Nj/fS2HgvjY13awnj4hNB/LPPPktB\nQQFvv/02bdrU3uXQ0FBsNhvnz583fdw+U9++fXsA2rVr5zhu/7lme8DRvj7Cwsy/DZArrz5jM3Pm\ncLKylpKTcz9G0P0BYN9wCcBCXt44XnppPqtXD2DoUOO/mlyP7dmTzS9/6XpOG9ddt5SZM4c7atbu\n2ZPN2LFZ5OQ87GhjbO5kARIoK3uQkJBJlJUtqvUcvkh/N95N4+O9NDbeS2MjTcXrg/g9e/bw5ptv\nkpqaSmRkJCdOnACMWfLKykoAx7HY2FgAjh8/bnquvLw8AOLi4hzts7OzOX78OJ07d3Zra7VaKSgo\nIDo6mqCgoHr3+/TpMqxWbe7gTfz9/QgLC6nX2HTv3pUVK847ZtK/+qqIkhLPNJa8vABOnjzXoHMa\nM/ZD6d69q+Mcs2ZluATwVP//fuBPQAcgmICACvr3/wOVldeYnsOXNGRspPlofLyXxsZ7aWy8m318\nfJnXB/H/+te/AFi1ahVvvfWWx+MWi4Wbb74Zi8XCrl27CAgIYPfu3abn2rNnD0FBQfTp0weAfv36\nsW7dOnbv3u1RoWbv3r1UVVUxYIDnrGpdWK0XtEObl6rr2LjnoV/g8cd/wsKFG8nI8EyFiYw8X6/x\n7tPnBpYuvcHtmOvzT5wIxiznHS4AxqLY06dtHDmyxG3hq69/5vR34900Pt5LY+O9NDbSVLw+iB8x\nYoQj6K7p2Wef5fDhw7zyyiuAkfaSlJRERkYGGzduZOhQZ1WOzMxMx26uoaFGusHw4cNZsGABq1at\n4t5773Vb4Lps2TIsFgupqalNeHXirWrbuCkmpoDAwPlu5SGbogJMbfXiIRw8qtrMZvlyLV4VERFp\nTZoliP/73//OJ598wqJFi+r93NjYWEeaTE1Lly4FcNuM6eGHH2bPnj08+OCDpKWl0b17d77++mtW\nrlxJbGwsU6dOdbTt0KEDM2fOZPr06dx9992kpqYSEhLC+vXr2bJlC/fddx/9+vWrd5/F93lu3HSQ\noqJoiopmAgeB+QQGnmTgQBszZ45s9AowZpVuLJa52Gx31mjprGojIiIirUezBPFfffUVH3/cNLtG\n1qwwExUVxd/+9jcWLVrE2rVrKS4uJioqitGjRzNhwgTCw8Pd2o8cOZJOnTqxZMkS5s2bh9VqpXv3\n7syaNYvRo0c3SZ/F+3mWlszEnsYCCUACFRU2OnSY3SQlHO27sr7wgrNcZGlpEVu39qrRUps5iYiI\ntEZen05zMX/5y19Mj0dFRfHYY4/V+TyDBg1i0KBBjdUtaQE801nMc9Sbcha8Zr14I8Wnbru5ioiI\nSMvm00G8SFPxTGcxz1Fvzllws9l5beYkIiLSOimIFzFRM2AOCCjgyy/dd169ErPgZru5ioiISOuj\nIF6kFmbpLJoFFxEREW+gIF6kjjQLLiIiIt7C70p3QERERERE6qfOM/Hp6ekNfpFjx441+LkiIiIi\nIuKuzkH89u3bL+uFatZzFxERERGRhqlzEP/00083ZT9ERERERKSO6hzEjxo1qin7ISIiIiIidaSF\nrSIiIiIiPqbeJSZtNhu7du3iiy++4Pvvv+fqq69m8ODBRERENEX/RERERESkhnoF8dnZ2UydOpWc\nnBy34wEBAaSnp/P//t//a9TOiYiIiIiIpzoH8SdOnCA9PZ1Tp05x1VVX0atXL8LCwsjJyeHAgQO8\n8sorXLhwgalTpzZlf0VEREREWr06B/ErVqzg1KlT/OIXv2DmzJmEhIQ4Hjtw4AAPPPAAy5cv5+67\n76ZLly5N0lkREREREanHwtZPP/2U6Oho/vznP7sF8AC9e/dm+vTpVFVVsXnz5kbvpIiIiIiIONU5\niP/222+58cYbCQwMNH28f//+jnYiIiIiItJ06hzEl5WVER0dXevjnTp1AqC8vPzyeyUiIiIiIrWq\nV514i8XSVP0QEREREZE60mZPIiIiIiI+RkG8iIiIiIiPqddmT59//jkvv/xyg9uMHz++Pi8nIiIi\nIiIm6hXEZ2VlkZWVddE2+/bt82hjs9mwWCwK4kVEREREGkGdg/hRo0Y1ZT9ERERERKSO6hzEP/30\n003ZDxERERERqaNmWdhqs9nYunVrc7yUiIiIiEiLV6+c+Pr65ptvePfdd3nvvfcoLCzk4MGDTfly\nIiIiIiKtQqMH8adPnyYjI4N3332X/fv3A8ZM/MV2exURERERkbprlCD+woULfPrpp6xdu5ZNmzZR\nWVmJzWajXbt2/PznPyc5OZmBAwc2xkuJiIiIiLR6lxXEf/nll6xdu5aMjAyKi4ux2WwAWCwWFixY\nwK233kpgYGCjdFRERERERAz1DuJLSkp4//33effdd/niiy8cgXtCQgJ33XUXa9as4csvv2TYsGGN\n3lkREREREalHEP/Pf/6TtWvX8umnn2K1Wh157iNGjOCuu+6ie/fuAHzwwQdN1lkREREREalHED95\n8mQsFgvh4eHceuut3HnnnfzkJz/BYrE0Zf9ERERERKSGeteJv+GGG7jxxhvp2bOnAngRERERkSug\nzkH81KlT6dq1Kzt27OBPf/oTQ4YM4YEHHuDDDz+koqKiKfsoIiIiIiIu6pxOM27cOMaNG8fevXt5\n5513yMzMZNOmTXzyySeEhYWRlJTEyJEjHQtdRURERESkaVhsDYy6v//+ezIzM3nnnXfYtWsXNpvN\nLb1mw4YNxMTENFpHfc3Jk+eoqrpwpbshLtq08aNjx1CNjRfS2Hg3jY/30th4L42Nd7OPjy+rd068\nXVBQECNHjmTlypV8/PHHTJo0iZiYGGw2Gzabjdtuu417772X1atXc+bMmcbss4iIiIhIq9bgmfja\n7Nq1i3feeYcPP/yQsrIyLBYLAQEB3HLLLSxcuLAxX8qr6c7b+2hWxHtpbLybxsd7aWy8l8bGu7WE\nmfhGD+Ltzp8/z/r163n33XfZs2cPFouFQ4cONcVLeSX90Xof/YPqvTQ23k3j4700Nt5LY+PdWkIQ\nX+8dW+uqbdu2/PKXv6RTp05ERETw6aefNtVLiYiIiIi0Kk0SxH/zzTesXbuW9957j8LCQo9FryIi\nIiIi0nCNFsSfOnWKjIwM1q5dS3Z2NgA2m41rr72WESNGkJyc3FgvJSIiIiLSql1WEG+1Wtm8eTPv\nvvsun3zyCZWVlY5Z99TUVJKTk0lMTGysvoqIiIiICA0M4r/44gvWrl1LRkYGJSUl2Gw2AgICuO22\n2zh48CDHjx/nT3/6U2P3VUREREREqEcQX1JSwnvvvce7777Ll19+6diZ9Yc//CEjR47kzjvvpEOH\nDtxzzz0cP368yTosIiIiItLa1TmI/+lPf4rVasVms3Hddddx5513MnLkSLp27dqE3RMRERERkZrq\nHMRXVVVhsVi44447mDJlyhUJ3vPz81mxYgXbtm3j22+/xd/fn/j4eJKTk0lNTcXPz7kBbV5eHosW\nLWL79u2UlJTQsWNHhgwZ4thZtqYNGzawcuVKDh48SGVlJbGxsYwaNYq0tDS384qIiIiIXGl1DuJv\nuukmduzYwQcffMAHH3xAz549SU5OZvjw4URGRjZlHwH48ssvue+++7Bardx9993Ex8eVBoIRAAAg\nAElEQVRz8uRJ/v73v/P444/z+eef88wzzwCQm5tLSkoKlZWVpKWlERcXx7Fjx1ixYgVbtmxh9erV\ndOnSxXHuN954gyeeeIKEhASmTZtGaGgomzZtYs6cOWRnZzNv3rwmvz4RERERkbqq146tJ06cYO3a\ntaxdu5b//Oc/WCwW/P39GTx4MHfddRe33XYbaWlp7Nu3r9F3Z73nnnvYt28fb775Jv369XMcP3v2\nLMOGDaOoqIiPPvqIa6+9lgkTJrBp0yaWL1/OoEGDHG23b99Oeno6SUlJPPfccwAUFRVx66230qVL\nF9577z0CAwMd7adNm8a6det4+eWXufnmm+vVX+3Q5n20e5730th4N42P99LYeC+NjXdrCTu21itP\npHPnzowfP54PP/yQv/71r/ziF78gKCiITz/9lAcffJDBgwfz1VdfNUlH77jjDh566CG3AB6gXbt2\njmP5+fmUlJSwefNm4uPj3QJ4gMGDBxMfH8+GDRs4deoUAO+//z4VFRWkpqa6BfAAaWlp2Gw21qxZ\n0yTXJCIiIiLSEA1O9u7Xrx9PPvkk27Zt45lnnmHAgAGcO3eOs2fPAnDrrbeycOFCjh071igdvffe\ne0lPT/c4brPZOHbsGG3atKF79+7s378fq9Vaa336xMRErFYr+/fvByArK8txvKaEhASCgoLYu3dv\no1yDiIiIiEhjuOwVm8HBwdx11128/vrrbNiwgYkTJxITE0N+fj4vvfQSw4YNIyUlhTfffLMx+gvA\nuXPnKCkpYffu3YwfP55vvvmGP/7xj0RFRZGbmwvA1Vdfbfpc+/GcnBwAR3vXHHk7i8VCdHQ0xcXF\nlJeXN1r/RUREREQux2Xt2FpTTEwMkydPZvLkyezcuZM1a9bwz3/+k88//5z9+/czZsyYRnmdMWPG\n8MUXXwAQHx/P0qVL+clPfgIYAb7FYiEkJMT0uSEhIdhsNsc3BufOnQOgbdu2tbYHI/c+ODi4Ufov\nIiIiInI5GjWIdzVw4EAGDhzIuXPnWL9+PWvXrm20cz/55JOcOnWK3Nxc3nvvPX7zm98wbtw4fve7\n32GxWC763JrreOvbvq78/VWW0tvYx0Rj4300Nt5N4+O9NDbeS2Pj3VrCuDRZEG8XGhrKr371K371\nq1812jkTEhIcP6ekpDB58mRefvllevfuTWhoKDabjfPnz5s+1z5T3759e8BYGGs/bv+5ZnvA0b6u\nwsLMvwmQK09j4700Nt5N4+O9NDbeS2MjTaXJg/imZrFY+NWvfsWGDRvYvHkzP//5zwE4fvy4afu8\nvDwA4uLiAIiNjSU7O5vjx4/TuXNnt7ZWq5WCggKio6MJCgqqV79Ony7DalVJKW/i7+9HWFiIxsYL\naWy8m8bHe2lsvJfGxrvZx8eX+UQQ/+2333LPPfcQGxvLa6+95vG4vVykzWbjxhtvJCAggN27d5ue\na8+ePQQFBdGnTx/AqLKzbt06du/e7VGhZu/evVRVVTFgwIB699lqvaC6sF5KY+O9NDbeTePjvTQ2\n3ktjI03FJxKCunTpgp+fH7t37+bf//63x+PvvPMOFouFAQMGEBYWRlJSEseOHWPjxo1u7TIzM8nN\nzSU5OZnQUKPA//Dhw2nXrh2rVq3ySMFZtmwZFouF1NTUprs4EREREZF6qteOrVfS1q1bmThxIn5+\nfvz617/mhhtu4PTp06xfv57PPvuMH/3oR7z++uv4+flRWFhISkoKpaWlpKWl0b17d77++mtWrlxJ\n586defvttwkPD3ec+x//+AfTp08nPj6e1NRUQkJCWL9+PVu2bOG+++5j+vTp9e6vdmjzPto9z3tp\nbLybxsd7aWy8l8bGu7WEHVt9JogHOHz4MEuXLmXnzp0UFRXRpk0b4uLiGDZsGP/zP//jtuNqYWEh\nixYtYvPmzRQXFxMVFcXQoUOZMGECERERHufesWMHS5YscWwW1b17d1JTUxk9enSD+qo/Wu+jf1C9\nl8bGu2l8vJfGxntpbLybgniplf5ovY/+QfVeGhvvpvHxXhob76Wx8W4tIYj3iZx4ERERERFxUhAv\nIiIiIuJjFMSLiIiIiPgYBfEiIiIiIj5GQbyIiIiIiI9REC8iIiIi4mMUxIuIiIiI+BgF8SIiIiIi\nPkZBvIiIiIiIj1EQLyIiIiLiYxTEi4iIiIj4GAXxIiIiIiI+RkG8iIiIiIiPURAvIiIiIuJjFMSL\niIiIiPgYBfEiIiIiIj5GQbyIiIiIiI9REC8iIiIi4mMUxIuIiIiI+BgF8SIiIiIiPkZBvIiIiIiI\nj1EQLyIiIiLiYxTEi4iIiIj4GAXxIiIiIiI+RkG8iIiIiIiPURAvIiIiIuJjFMSLiIiIiPgYBfEi\nIiIiIj5GQbyIiIiIiI9REC8iIiIi4mMUxIuIiIiI+BgF8SIiIiIiPkZBvIiIiIiIj1EQLyIiIiLi\nYxTEi4iIiIj4GAXxIiIiIiI+RkG8iIiIiIiPURAvIiIiIuJjFMSLiIiIiPgYBfEiIiIiIj5GQbyI\niIiIiI9REC8iIiIi4mMUxIuIiIiI+BgF8SIiIiIiPkZBvIiIiIiIj1EQLyIiIiLiY9pc6Q7U1dmz\nZ3n11Vf54IMPOH78OIGBgfTo0YPRo0czevRoj/Z5eXksWrSI7du3U1JSQseOHRkyZAiTJk0iJibG\no/2GDRtYuXIlBw8epLKyktjYWEaNGkVaWhp+frrXERERERHv4RNB/IkTJ0hNTaWwsJBRo0bxox/9\niNOnT/P2228zY8YMjhw5wsMPP+xon5ubS0pKCpWVlaSlpREXF8exY8dYsWIFW7ZsYfXq1XTp0sXR\n/o033uCJJ54gISGBadOmERoayqZNm5gzZw7Z2dnMmzfvSly2iIiIiIgpnwjiFy9eTEFBATNmzGDM\nmDGO46NGjSIpKYnXX3+d+++/n4iICACefvppSktLWb58OYMGDXK0T0xMJD09ndmzZ/Pcc88BUFRU\nxNy5c+natStvvfUWgYGBACQnJ+Pv78+6detITk7m5ptvbsYrFhERERGpnU/kiXTq1Imf//zn/PKX\nv3Q73r59e/r164fVauWrr74CoKSkhM2bNxMfH+8WwAMMHjyY+Ph4NmzYwKlTpwB4//33qaioIDU1\n1RHA26WlpWGz2VizZk0TXp2IiIiISP34xEz8pEmTan3szJkzgBHQA+zfvx+r1UpiYqJp+8TERA4f\nPsz+/fsZMmQIWVlZjuM1JSQkEBQUxN69ey/3EkREREREGo1PzMTX5ssvv2T37t3Ex8eTkJAAGPnw\nAFdffbXpc+zHc3Jy3Nq75sjbWSwWoqOjKS4upry8vNH7LyIiIiLSED4bxH/77bdMnDgRf39//vzn\nPzuOnzt3DovFQkhIiOnzQkJCsNlsnD171tEeoG3btrW2BxztRURERESuNJ9Ip6nps88+Y+LEiZw+\nfZr58+fTr18/x2MWi+Wiz7XZbG6/17d9Xfn7++z9UYtlHxONjffR2Hg3jY/30th4L42Nd2sJ4+Jz\nQfx7773HzJkzadu2LcuXL6d///5uj4eGhmKz2Th//rzp8+0z9fYc+nbt2jmO23+u2R6cOfd1FRZm\n/k2AXHkaG++lsfFuGh/vpbHxXhobaSo+FcQvW7aMuXPn8oMf/IAXX3zRdNOm2NhYAI4fP256jry8\nPADi4uIc7bOzszl+/DidO3d2a2u1WikoKCA6OpqgoKB69fX06TKs1gv1eo40LX9/P8LCQjQ2Xkhj\n4900Pt5LY+O9NDbezT4+vsxngvg333yTuXPnMnjwYF544QVCQ0NN2914440EBASwe/du08f37NlD\nUFAQffr0AaBfv36sW7eO3bt3e1So2bt3L1VVVQwYMKDe/bVaL1BVpT9ab6Sx8V4aG++m8fFeGhvv\npbGRpuITCUF79+7lqaee4kc/+hEvv/xyrQE8QFhYGElJSRw7doyNGze6PZaZmUlubi7JycmOcwwf\nPpx27dqxatUqjxScZcuWYbFYSE1NbfyLEhERERFpIJ+YiX/yySe5cOECN998M5s2bTJtc/3119O9\ne3cAHn74Yfbs2cODDz5IWloa3bt35+uvv2blypXExsYydepUx/M6dOjAzJkzmT59OnfffTepqamE\nhISwfv16tmzZwn333ee2cFZERERE5Eqz2BpafqUZ3XDDDZesIjNx4kS3TaEKCwtZtGgRmzdvpri4\nmKioKIYOHcqECROIiIjweP6OHTtYsmSJY7Oo7t27k5qayujRoxvU55Mnz+nrMy/Tpo0fHTuGamy8\nkMbGu2l8vJfGxntpbLybfXx8mU8E8b5If7TeR/+gei+NjXfT+HgvjY330th4t5YQxPtETryIiIiI\niDgpiBcRERER8TEK4kVEREREfIyCeBERERERH6MgXkRERETExyiIFxERERHxMQriRURERER8jIJ4\nEREREREfoyBeRERERMTHKIgXEREREfExCuJFRERERHyMgngRERERER+jIF5ERERExMcoiBcRERER\n8TEK4kVEREREfIyCeBERERERH6MgXkRERETExyiIFxERERHxMQriRURERER8jIJ4EREREREfoyBe\nRERERMTHKIgXEREREfExCuJFRERERHyMgngRERERER+jIF5ERERExMcoiBcRERER8TEK4kVERERE\nfIyCeBERERERH6MgXkRERETExyiIFxERERHxMQriRURERER8jIJ4EREREREfoyBeRERERMTHKIgX\nEREREfExCuJFRERERHyMgngRERERER+jIF5ERERExMcoiBcRERER8TEK4kVEREREfEybK90BERER\nkZYkK+sQixZtoqSkHRERZ5k06Wf07duz0c69cOFGCgtDiIoqIykpjszMo47fp0wZ2mivJd5NQbyI\niMj/b+/O46qq9j6OfzbzJIqJonYveo1CSROzHPJV99EG9KY2GGkOoXW9aQ6PNpilZaZNal6nG5lK\napZDXS2HtMzyUSxEBee8WpoMKiKiIuBB2M8fh3PgeCC1a8CR7/v18hWutc4++/Dz0Pcs1l5bpAyX\nBuYrCcjJyfvp3z+JtLQXAQMw2b59NnFxOD32ao9fcuxRxcfew1dffU1hoe3vJklJZT+XXH8U4kVE\nREQukZy8n969t3LyZElATkiYxaJF1oBcXgCfPn1DqZANYJCWNpDp099h3rymDsd3DOTOAfzS58jO\nziQtbVKpY6+jsHDkZZ/rcpYuXcNrr60gO9sHN7dAIiIM3n33CX0QqOIU4kVERKTaudws+IsvfsLJ\nk1MpHZBPnnyWN94Yw9ixlBnAR48+zJYt2aUeQ6nH+jo875Yt2WRleQGjgT8B+aSlPcD06auYN69p\nmSHfy+s9YB/wM7AaCASeAf4GdHN6riuxdOkahg5NxjT/B/g7hYUGyckmjz8+jSVLNKNflSnEi4iI\nSLVyuVnw5OT97NxpUFYY//HHHMaP/4K0tAk4zoDfxZAhY4GaWIO1BQgH3IEH8PRM4ZFHXmfr1vpY\nLCXPCx8CdwHNgPfYuHEXkyfPYdq0RC5caEzpkG6xjCz++y1AbKljvAukAoMBk+DgvCv+XkyYsB7T\nvAX4u8PrOX16+FXP6EvFUogXERGRauVyS16mT9+AaeZjDcilg7xJQYGF+PgirDPiawEf4ARwFugM\ntAd+AJ7GFrINYzJ79viRnR0IOC5/sYbn94AIYCTnzk3h3XeLgJeBW4vPYSrwJdbZ9jPAiEuO8SLw\nD2APDRvGM2xYxyv+XuTkBAO+/NZvD6Rq0haTIiIiUq1Yw2nZoXXy5DmsXr0D8AN6ArOK+22z5jUx\nzSIgHmsgfxZ4HbgRa4BfR0mAtx7XNJ8vDvBlP6/1g4Dta9/i464r1TYCWAWYuLndWM4xWhASMo24\nuMirWgITEHASyCt+faVd3Yy+VDyXnIn/97//zcSJEzl//jwbNmygQYMGTmNSU1OZOXMmW7ZsISsr\ni6CgIDp06MCQIUNo2LCh0/j169czf/589u3bR0FBAaGhoTz88MPExMTg5qbPOiIiIpUlOXk/48cv\nZe/eHAoLwdPzAvXr30yjRkaZO7pcbr27NZw6z7Knp3/Pu+92AJZQslTlPaAf0ALIBPoW9zsuP4Hn\nisf6UHbI9gXKnt23tpf+unSwtz0+mIYNZ5Off4pTp8o6xgVCQ2+96jXsY8bcW7wm/sNSr8kkKGja\nVc3oS8VzqRCflZXF2LFj+e677/Dx8cEwLn2TWKWkpBAdHU1BQQExMTE0btyYI0eOEBcXx6ZNm1i2\nbBn169e3j//444+ZMGECERERPP/88/j7+/Pdd9/x7rvvsnfvXqZMmVJRL1FERKRaKit4A7zwwkfs\n3BkA3EzppSqnThns2VP2ji6X2/Vl2LCOJCTM4uTJZykJ6x+SkuKJ83KXkcDjwGHgAazLXupSdlD3\npvygnod1uc0cSi+1sc7uRxV/PafU1/kOj/f2/oW4uO785z+1GDLkXaxLaIxSj3uA4OBVV/U9B4iO\n7gJQvDvND9qdxoW4VIh/9NFHKSws5MMPPyQ2NpZt27aVOe6tt94iOzubefPm0a5dO3t7ZGQkAwYM\n4J133uGf//wnAJmZmUyaNIlGjRrx6aef4uXlBUC3bt1wd3dn9erVdOvWjXvuueePf4EiIiIV5Pfs\ngf5HnsulwTshYRYFBRlkZ/+leJRt7fhvb6l4JVs8tmzZlFtuWcrJk7aZ83ys4fkgZYfzG4EBlKxR\n30/ZQX0/MAjnoP4vPDwyuXixWfHY97DO6l8ACoCjQC2sIb9Zcf8D9uO6u09lypSHaNmyKS1bNuXo\n0TlMnvwMRUXNi4/xwFWvhS8tOrqLPcyL63CpEN+qVSvGjh1LrVq1iI2NLXNMVlYWGzduJCwszCHA\nA7Rv356wsDDWr1/PmTNnqFmzJitXrsRisdCzZ097gLeJiYlh1apVfP755wrxIiLi8mzB/fDhHH75\npRZ5eQ9iXXudy6pV/8QwauHufgY/Pwt//nOrcperXHq8q7lZ0ZXurW6dJZ+CdRkKlCwx+e0LMI8c\nuTRcO48BKCj4EzD8knFplBXODSMF01wGLMYath/AOoNesvwE/oV1h5jJxef5A6V3p2nb9iOCgt4l\nI8OH4OACoqJasm7dETIyfPD0TMEwTmOxrCc4eCXNmnmzcOF0zp2rQ0DAScaMudchZD///NPce+9+\nZsz4rvh4q3Sn1mrIpUL8lSxr2b17N4WFhURGRpbZHxkZyaFDh9i9ezcdOnQgOTnZ3n6piIgIvL29\n2bFjx3934iIi4jKq0gz1tWBdT/4Fu3ad4ty5RpjmKEpmen8o9d/XMU2DixdNzp79kD177mLPnmb8\n+OMb3HjjJxw96oNpZhMREcCrr0YDZe+VfundQkt/cDh4sACLJRhr/Mhl3boZ3HJLM379NYvLryM3\nKW+piu0CzOTk/Rw6lPqbY2zKXhd/F9YPDs9REs7fo0+fMDZsaEBa2l3A11hnzuOBA0A94FesM/B/\nBT4HQigd8IODZ/Hqq9FO/46ioynX88+X3wfW7/Hcua7771L+ey4V4q9ESkoKQJkXu5ZuP3r0qMP4\n0mvkbQzDICQkhKNHj5Kfn4+Pj4/TGBERuX6ULOuwzVAHsH79fCZPvvuqlxtczYeBS8dGRTVm7drD\nv/uDhGNwDsRimUDJUhTbzYIWATcAS7HurnLptoevARYyM4PJzByLLZBu3jyJLl2mcOut9UlLc7wZ\n0qXLVhyXyYwGmlA63BYUfMiePSHYdl4pfx35v7HOfD/ApUtVgoNn2ZeRTJ++gfx85+Usvr5TnJaa\nDBvWkaSk2aSlDbSPa9jQg44ds1i2rDcWSwM8PdMYPvxOnn9+NMnJ+5kxYzWHDxdx6tR+fH1rk5t7\nljp16lCrli+G8SmnTwdw7Nh+cnN3c/HiFvz8grntNi/GjOnu0h8EpWq67kL8+fPnMQwDX9+y9zb1\n9fXFNE1ycnLs4wH8/PzKHQ+Qk5NzVSHe3V072lQ1tpqoNlWPalO1Vaf6zJz5HWlpf8M6M21de52f\nb/LCC1No2vQnIiObXeYIVklJ+xgwIInU1JJZ6q+/fo82bZYxbly0w3EWL17NyJEbyc8PxRqw67Fq\n1Qasu6HkAwF8800coaHZZGbWBGpRp84JTp0q4sKFhgQGnuLVV0uWWyQl7aNPn61kZNhm3G1ryH2K\nj78F67aJtplmW0AvzQCKgDo4X+j5AhcvTiE5+XiZj/v1V/DwcCv1/bRdgHkW5x1d/g4MAYZR1jpy\nOId1jTjAQqx1KQI2Y73A1I3w8BO0bt0fgMxMP6zr1g2se6tbLzRt0iSb1q0jHM60desIFiwwmDZt\nEhkZPtStm8fw4R2JjOzDtGk4ad06gvnzI5w7yuHu7kZgoC9nz+ZRWFh0xY+TinE9/Dy77kJ8eTvW\n2Jim4z6oVzv+SgUG6gYJVZVqU3WpNlVbdahPVlYA1hl4x+Cal/cc77//HsuW3XFFx/nXv/6P1FTH\nY1gsI9m0aQr9+yfz+ed+tG4dwcKFXzJkyM8UFc3EcaeR27FeZGld1nHhgsl//jMFCAO2k5XVENuF\nkDk5zXjmmbfZvn0Ss2ePY+LElWRk2GbWS68hzwe+omSpCMX/rUXZs+C1KH9fc1+sodz5cVlZvxAU\n5F/q+2nrr1nOsZriGLy9gF2UrFcfB5zGegGobVeYt0sdY5b9+Ro2LCg+p4jiP9ZzCg9/zz6mtI4d\n76Bjxyur6e9VHd43UjmuuxDv7++PaZrk5uaW2W+bqa9RowYAAQEB9nbb15eOB+zjr5Q+eVc9mhWp\nulSbqu16qk9S0j7GjVvK3r3ngFr8+c9nqVEjiIKCetStm4dhnAXqU1bYTE315PTp81f0PGlpnmUe\nA3w5evRpRo58EYDNm89gmh/gGKqfBp4BYi9pfw7rrPWlgR/gJT788B9ERi4lOdmCY3C3Be0o4NMy\nzqszjjP2tr3RO2O9I2l5+5rXx3n2fA5BQXXt36fatXNKPd6znGNdKP66dPCeVerrcVjvRvoB1iU1\ndzk8Pigox/58gwffTULCbFJTS5bI3HjjbAYNuvuKa3etXE/vm+uRrT6u7LoL8aGhoQCkp6eX2Z+a\nmgpA48aN7eP37t1Leno69erVcxhbWFjI8ePHCQkJwdvb+6rOo7CwiIsX9aatilSbqku1qdpcvT7J\nyft54om1ZGaGYV3GsY+srHhK7rLpj6fnHjw9T1FQ4Bw28/N/ISxsMNnZQbi5ZdOo0UXq1QuloKCu\n07r1/PxfKDuwngD2kZAQgsViAqGUHfbrlNPeFOfA/x7WwNuC8eO/wTTdcQzu/wIGY1t+4nxezYAJ\nWG9i1ALIwfpbgJHF/c5B3Xrcr4B2lF62Ag/QqNEp+7+TIUP+h+3bbevOHy91LrZjTSk+Vmm2tfDY\nx/j55XDzzSNITa1NZmYze1/DhrMZMuR/7M/XvHk48+aZzJhh2wXGWpfmzcMr7d+uq79vpOq67kJ8\nixYt8PT0JDExscz+bdu24e3tTfPmzQHrtpWrV68mMTHRaYeaHTt2cPHiRe6444/9VZuIiPzxpk/f\nULxm2rYuey2OO7Sso6CgDfAl8A5Qsp4d3iY5+SC2pSeFhRc4eLAFBw++ZB9j25kFYM+ekzhvQfgh\nYAG+wmJ5DmugLe/GQJnltF/AkW3JjLUvJyeYJk2yOX3a9twRxX1/x7oEJgvrUpSS87Z+CHil+O/r\nsO62cgF4C+vFqGCdDbdgvRDWupd5rVpL8PT8npMnR9iP1bDhbIcLSFu2bEpcHPZQbd1KcQx79xaS\nleUFZBQ/Z4T9GJ6e7+Dru52iopdLba/4D4Dii0sdA/qlF4xq1xapLq67EB8YGEhUVBSrVq1iw4YN\ndOxY8sNk7dq19ru5+vtb18Y9+OCDTJ06lcWLF9OnTx+HC1znzp2LYRj07Nmzwl+HiIhcW9Z9wj0o\nCcY+WAOkLcjblpPYbvwzFbiIdRvBAKALJbPIk7l0bbltZ5bs7HNcvNgO67KP0rPUUYAFL6/jWCy2\n53HebcX69y7Fjx1Rqv0d4MFLXpVt1tq6ZWRAwDRq1KgJHC9u8ynu/zOQC8zA+iHlGcB2o6CbsG6b\nOIKS0P82cIzatQcTFhaOl9dFzp7NJCUlG1hIRIQ7Y8d2B/hdobpk15rXsV5s+x5eXqdp08Zk7Nju\ntGz5bBkVVEAXKc1lQnx6ejq7d+8GrBebnj59GoCNGzdSu3ZtABo2bMitt97Kiy++yLZt23juueeI\niYmhSZMmHDx4kPnz5xMaGsrIkSPtx61ZsyZjx45l9OjR9OrVi549e+Lr68uaNWvYtGkT/fr1o1Wr\nVhX/gkVE5Jqy7gvuQckMdz7WgH3phay+WC+0vBXrcg9baBx8yZiybyh08GA21nDcjJJ13QAmISH/\n5Kab6rJ5s4k11G+hZEnKRWAn1uDtRckHCS+sdwJNxbquvGTW2hrUNwP9cXf/mjFj7mXhwuPAvcWv\ni+KxjwLfFf+9W/HzXih+rkNYL5i13UW0TvGYZrRv/w7z5g34ze/r7wnVl87QBwcXMGxYN23DKHIV\nXCbEJyQkMHr0aKfdZMaPH2//+qGHHuKtt94iODiYpUuXMnPmTJYvX86pU6cIDg6mR48eDB48mFq1\najkco3v37tStW5fZs2czZcoUCgsLadKkCW+88QY9evSokNcnIiJ/rGHDOvLjj2vJzLQtNbGtFy+9\nzhwcl7iU3lq4vDE21hsK/ec/2UAfLp1hN4x3WLDg7wD0729bJw7WZT2ZWNfL1wb8ix//NXARN7ft\nNGoUQmBgQ/bsOcHFi6Vn2I/h7R1A7dqreOUV6zaTa9fOoqwPEIYxrXjHNaP4+GtwXJ8+FeiN9cOL\n89KYa02z6iL/HcP8vXsoym86ffq8LmSpYjw83AgK8ldtqiDVpmq7nupjvXvpMvbtywFqUqdOKocO\n+VFUVHqHmL1Y78b5d6yz07b/TT5XzpiS9eBxcZGMH7+UzZtvxnrB7NfYZtJvuyqWhFcAABfiSURB\nVO0C33wz1X4eM2Z8R0aGDxcuHCYl5QQXLjQmIOAk/fo1Y/9+S5lLVEo/Ljg4jxEjOtGx4x0OtSlZ\nqjLQ4dxGj67FunVH7I+NimrMkiW72Lu3EMjmT3+6SGBgPSwW5wt15epdT++b65GtPq5MIf4Pojdt\n1aMfqFWXalO1Xe/1Wbp0DS+8kEJeni2km9Sp8wZNm14gK8vg4MECLBZ/rBd1lp65fgMPjyOEh4fR\nqJFhD70lu+D4Y5sxr1Mnl08+ibrmobi82lwa9hXIK971/r5xdQrxUi69aase/UCtulSbqq061Oe3\nQq9t9n7XrnSstyC5AT+/PFq0qMmrr0aXGY4rKkRXh9q4KtWmalOIl3LpTVv16Adq1aXaVG2qT9Wl\n2lRdqk3Vdj2EeLfKPgEREREREbk6CvEiIiIiIi5GIV5ERERExMUoxIuIiIiIuBiFeBERERERF6MQ\nLyIiIiLiYhTiRURERERcjEK8iIiIiIiLUYgXEREREXExCvEiIiIiIi5GIV5ERERExMUoxIuIiIiI\nuBiFeBERERERF6MQLyIiIiLiYhTiRURERERcjEK8iIiIiIiLUYgXEREREXExCvEiIiIiIi5GIV5E\nRERExMUoxIuIiIiIuBiFeBERERERF6MQLyIiIiLiYhTiRURERERcjEK8iIiIiIiLUYgXEREREXEx\nCvEiIiIiIi5GIV5ERERExMUoxIuIiIiIuBiFeBERERERF6MQLyIiIiLiYhTiRURERERcjEK8iIiI\niIiLUYgXEREREXExCvEiIiIiIi5GIV5ERERExMUoxIuIiIiIuBiFeBERERERF6MQLyIiIiLiYhTi\nRURERERcjEK8iIiIiIiLUYgXEREREXExCvEiIiIiIi5GIV5ERERExMV4VPYJVBWFhYXExcXx5Zdf\n8uuvv+Lu7k5ERAT9+/enY8eOlX16IiIiIiJ2mokvNmLECCZPnkzjxo15/fXXeemll8jPz2fw4MEs\nWbKksk9PRERERMROM/HA+vXr+frrr+nWrRvvvvuuvb179+5069aNt99+m/vvv5+goKBKPEsRERER\nESvNxAOfffYZhmEQExPj0O7t7c3jjz9Ofn4+q1evrpyTExERERG5hEI8sHPnTry9vWnWrJlTX6tW\nrTBNk6SkpEo4MxERERERZ9U+xJ8/f57Tp09Tr169Mvvr168PwNGjRyvytEREREREylXt18SfP38e\nAD8/vzL7be05OTlXdVx392r/+ajKsdVEtal6VJuqTfWpulSbqku1qdquh7pU+xBvGMZv9pum+buO\nGxjo+7seJ3881abqUm2qNtWn6lJtqi7VRv4orv8x5L8UEBAAQG5ubpn9tpn6GjVqVNg5iYiIiIj8\nlmof4n19falTpw7Hjx8vc9Y9NTUVgMaNG1f0qYmIiIiIlKnah3iA22+/HYvFws6dO536EhISMAyD\nO+64oxLOTERERETEmUI80LNnT0zTZO7cuQ7t586dY+nSpdSqVYvOnTtX0tmJiIiIiDiq9he2ArRr\n144ePXrw+eefM3jwYO6//37Onz/P4sWLycrKYurUqfj7+1f2aYqIiIiIAGCYv3f7levQJ598wrJl\nyzh8+DBeXl7cdttt/OMf/6B169aVfWoiIiIiInYK8SIiIiIiLkZr4kVEREREXIxCvIiIiIiIi1GI\nFxERERFxMQrxIiIiIiIuRltMXqW0tDTi4uKIj4/n2LFjuLu7ExYWRrdu3ejZsydubiWfi1JTU5k5\ncyZbtmwhKyuLoKAgOnTowJAhQ2jYsGElvorqIT4+nqeeegrDMNi/f79Dn2pTcWbOnMnMmTPL7a9T\npw6bN2+2/121qXhJSUnExsaSnJyMxWLhxhtvpHv37vb3T2mqT8Xo2LEj6enpvznm4Ycf5q233gJU\nl8qQnp7O+++/T3x8PBkZGXh7e3PLLbfwyCOP0KNHD4exqk/FOnPmDLGxsWzYsIH09HT8/Py4/fbb\nGTZsGOHh4U7jXbU+2p3mKhw4cIB+/fpRWFhIr169CAsL4/Tp03z22WccPHiQhx56iLfffhuAlJQU\noqOjKSgoICYmhsaNG3PkyBHi4uLw8fFh2bJl1K9fv5Jf0fXr/PnzdO3alWPHjgE4hHjVpmLNnDmT\nWbNmMXToUG666Sanfm9vb+655x5AtakM33zzDf/7v/9LaGgovXv3xs/Pj1WrVhEfH+8QEkH1qUib\nNm0iLy+vzL6EhAQ++eQTRo0aRUxMjOpSCX799Veio6OxWCw8/vjjhIeHc+7cOVauXMmuXbvo1asX\nr732GqD3TUU7ffo00dHRpKam0rlzZ9q3b09OTg5z5szh3LlzzJ8/n5YtW9rHu3R9TLlivXr1MsPD\nw83t27c7tJ87d87s0KGDGR4ebh49etQ0TdMcNGiQGR4ebm7ZssVhbHx8vHnLLbeYw4cPr7Dzro7G\njh1rRkZGmp07dzbDw8Md+lSbijVjxgwzPDzc3Lp162XHqjYVKzs727zzzjvNqKgoMzc3195eVFRk\n9u3b1+zWrZuZmZlpb1d9Kl9ubq7ZsWNH86GHHjILCwtN01RdKsOoUaPM8PBwc+nSpQ7tFovF7NSp\nkxkeHm6mpqaapqn6VLTx48eb4eHh5uTJkx3aU1NTzVatWpkPPvigQ7sr10dr4q9Cly5deOGFF2jV\nqpVDe0BAgL0tLS2NrKwsNm7cSFhYGO3atXMY2759e8LCwli/fj1nzpypsHOvTn744QeWLVvGM888\nww033ODQp9pUXapNxVu+fDlnz55l0KBB+Pr62tsNw2DBggV88cUX9veQ6lM1TJkyhePHj/PGG2/g\n5uamulSSlJQUAG6//XaHdk9PT5o3b24fo/pUvO+++w6AmJgYh/aGDRvyyCOPcOjQIXbv3g24/s81\nhfir0KdPHwYMGODUbpomR44cwcPDgyZNmrB7924KCwuJjIws8ziRkZEUFhba/xHJtZObm8srr7xC\nREQETz/9tFO/alP5Ll68iMVicWpXbSpefHw8AHfffbe97cKFC2WOVX0q3759+/jkk0/o1asXt956\nK6C6VJabb74ZgMOHDzv1paSk4O7uzl/+8hfVpxJkZGTg4+PjNIkH0KxZM0zTJDk5GXD9949C/O90\n/vx5srKySExM5JlnnuHnn3/mpZdeIjg42P4JvUGDBmU+1tZ+9OjRCjvf6mLSpEmcPHmSN9980+Ei\nYxvVpnKYpsnatWt5+OGHad68OS1atODuu+9m0qRJ5OfnA6pNZTh06BCBgYHk5uYybNgwWrZsyW23\n3Ubbtm2ZMGECubm59rGqT+WbMmUKAQEBDB061N6mulSOgQMHUrduXSZOnMj3339PVlYWKSkpTJ06\nlb1799K/f3/q1q2r+lSCgIAA8vPzy5yQ8Pb2BqyrJsD13z/aneZ36t27Nz/99BMAYWFhzJkzh7Zt\n2wLWgG8YhsOvp0vz9fXFNE1ycnIq7Hyrg4SEBBYvXsyzzz5rnyW5lGpTOQzDYP369fTt25eRI0dy\n/Phxli1bxty5c9mxYwcff/yxalMJsrOz8fLyol+/fnTo0IGpU6eSk5PD8uXL+fjjj9m3bx+LFi3C\nMAzVp5IlJiYSHx/PkCFDqFmzpr1ddakc9evXZ+nSpTz//PM888wz9nYfHx/7Bceg+lSGtm3bsm7d\nOlauXOm0S9CKFSswDMM+QeHq9VGI/50mTpzImTNnSElJ4csvv+Spp55i4MCBDB8+3GlLtkuZ2hDo\nmsvPz+eVV17h5ptvdviBeinVpuJ17dqV5s2b06pVK2rUqGFv79GjB3369GHHjh188cUXGIbxm99/\n1ebas1gs5OfnExMTw6BBg+ztXbt2pVevXiQlJbFu3TqioqL03qlk06dPx9vbmz59+ji0qy6VIzU1\nlUGDBpGRkcGIESMIDw+noKCA9evX8/bbb5Oens7LL7+s+lSCESNG8O233/Lmm28C8Ne//pUTJ04Q\nFxfHkSNHAOu1C+D67x+F+N8pIiLC/nV0dDRDhw4lNjaWW2+9FX9/f0zTdPhVdGm2T36lA438dyZP\nnszx48dZsmQJHh7l/7NWbSpeaGgooaGhTu2GYdC/f3+2b9/Opk2baN26NYBqU4H8/f05d+4cjzzy\niFNfjx49SEpKIiEhgaioKL13KtEvv/xCYmIif/vb36hVq5ZDn+pSOUaPHs0vv/zCZ599RtOmTe3t\n9957Lx4eHixcuJA2bdqoPpUgNDSU2NhYxo4dy9ixYzFNEw8PD+677z7GjRvHgAED7O8jV6+P1sRf\nA4Zh8Nhjj2GaJhs3brQHlvJu1JGamgpA48aNK+wcr2fbtm1j0aJFPPbYY9SpU4cTJ05w4sQJjh8/\nTkFBAYC9TbWpWoKDgwE4d+6calMJbrzxRgD7+6S00rUBVJ9KtHr1agzD4P7773fqU10qXl5eHtu2\nbeNPf/qTQ4C36dSpE6ZpsmXLFtWnktx1111s2LCBVatWsXTpUjZv3szUqVPJzs4GsN+zxNXro5n4\nK3Ts2DGeeOIJQkND+eijj5z6bdsPmaZJixYt8PT0JDExscxjbdu2DW9vb/s2VPLf+fHHHwFYvHgx\nn376qVO/YRjcc889GIbB1q1bVZsKZLFY+P7777l48SJdunRx6j906BBgDZN631S81q1bs3//fvbt\n22cP9Da2/6mFhIQAqD6VaOPGjRiGQfv27Z36VJeKl5+fj2maZe6yBdhv0pWXl6f6VLImTZo4/P3b\nb7/Fw8PDvp2kq9dHM/FXqH79+ri5uZGYmMj27dud+v/9739jGAZ33HEHgYGBREVFceTIETZs2OAw\nbu3ataSkpNCtWzf8/f0r6vSva127diU2NpbY2Fg++OADhz9hYWEAfPDBB8TGxlKjRg3VpgJ5eXkx\nadIkXnzxRfuF4DZ5eXnMmTMHwzDo0qWL3jeVoEePHhiGQWxsrH2XILB++LJd0NqpUycA1aeSFBQU\n8NNPPxESElLmr/RVl4oXFBREaGgox44dY+vWrU79q1atwjAM7rzzTtWnEixatIg2bdqwYsUKh/Zd\nu3axdu1aunbtal9O4+r1Mcyqvmq/Ctm8eTPPPvssbm5u9tssnz17ljVr1rBz505uv/12FixYgJub\nGydPniQ6Oprs7GxiYmJo0qQJBw8eZP78+dSrV48lS5Y4rW2Ua69v375s27aN/fv329tUm4r1ww8/\nMHDgQLy9vXn88ccJCwsjIyODzz77jJSUFHr37s2YMWMA1aYyzJw5k1mzZtG0aVN69epFXl4eK1as\nYP/+/URHR/P666/bx6o+Fe/w4cN07tyZO++8kwULFpQ5RnWpeJs2bWLw4MF4eHjwxBNP0KxZM/Ly\n8lizZg0//PADkZGRLFiwAA8PD9Wngh07doxHH32UvLw8+vbtS1hYGIcOHWLhwoWEhISwaNEigoKC\n7ONduT4K8Vfp0KFDzJkzh4SEBDIzM/Hw8KBx48Z07tyZJ598Ei8vL/vYkydPMnPmTDZu3MipU6cI\nDg6mY8eODB48mNq1a1fiq6g++vbty/bt29m3b59Du2pTsQ4cOMDs2bNJSEggOzsbf39/mjZtSs+e\nPYmKinIYq9pUvK+++oqFCxdy4MABioqKaNKkCT179nTang1Un4q2c+dOevbsSceOHZk1a1a541SX\ninfgwAHmzJlDYmIip06dwtPTk0aNGtGlSxf69eunPFCJDh8+zMyZM9m6dStnzpyhbt263H///Qwa\nNKjM32i5an0U4kVEREREXIzWxIuIiIiIuBiFeBERERERF6MQLyIiIiLiYhTiRURERERcjEK8iIiI\niIiLUYgXEREREXExCvEiIiIiIi5GIV5ERERExMUoxIuIiIiIuBiFeBERERERF6MQLyIiIiLiYjwq\n+wREROTqpKWl0alTJzw8PNizZ89lxy9fvpzRo0eX2+/t7U29evVo06YNTz75JDfddNNvHi8xMZHl\ny5ezfft2MjIycHNzIyQkhLCwMB599FE6dOiAYRj28enp6XTt2pXz588zd+5c7rrrrnKP/dRTTxEf\nH090dDTjx4+/7GsTEamuDNM0zco+CRERuXK/N8Q3aNCA++67z6k/MzOTvXv3cuTIETw9PZk0aRJR\nUVFO4/Ly8hg1ahRff/017u7u3HbbbTRp0gQ3NzcOHDjAzp07MU2T9u3bM23aNGrUqGF/7GeffcaY\nMWNo0KABq1atws/Pz+n4K1as4KWXXqJBgwasXLkSf3//q/zOiIhUH5qJFxGpJho1avSbM/KzZ8/m\nvffe4+WXX+bOO++kdu3a9r6ioiIGDhxIYmIiLVu25J133iE0NNTh8bt27eKll15iy5YtDBgwgGXL\nltn7evTowbp169i8eTOTJk3itddec3hsVlYWb731FoZhMHHiRAV4EZHL0Jp4EREBYODAgURGRpKX\nl8fatWsd+ubNm0diYiJhYWHMmzfPKcADtGjRgri4OIKCgtizZ49DiAeYMGECNWrUYMmSJSQmJjr0\nTZw4kbNnz/LYY4/Rrl27a//iRESuMwrxIiJi17p1a0zT5PDhw/a2goICPvroIwzDYPTo0WUuhbGp\nV68e48ePZ8qUKXTv3t2pb8yYMRQVFTFmzBguXLgAwP/93/+xevVq6tevz6hRo/6YFyYicp1RiBcR\nEbuzZ89iGIZDUE9KSiIzM5OQkBDat29/2WPcd999dOnSBS8vL6e+bt26ce+993L06FGmTp1Kbm4u\n48aNwzAMJkyYoGU0IiJXSGviRUQEANM02bZtGwBNmjSxt+/cuROAyMjIa/I848ePZ/v27SxcuJCf\nf/6Z9PR0oqOjr+gDgoiIWGkmXkREAJgxYwY///wzN9xwA/fee6+9/eTJkxiGQYMGDa7J89SuXZvX\nXnuNwsJCNm3apGU0IiK/g2biRUSqiSNHjvDmm286tefm5rJjxw5++eUX/P39mTJlisNymry8PAB8\nfX2v2blERETg4eFBYWEhgYGB+Pj4XLNji4hUBwrxIiLVxLFjx1i4cKFTu2ma+Pr60r9/f/r06UPD\nhg0d+v39/TFNk5ycnGtyHqZp8uKLL1JYWEiDBg04cOAAH3zwAYMHD74mxxcRqQ60nEZEpJpo164d\n+/fvd/izZcsWAgMDuXDhAvfdd59TgAcICQkBcNix5r8xb948kpKSuPvuu/n444/x9fUlNjaWn3/+\n+ZocX0SkOlCIFxGpxoKCghg6dChFRUWMGzeOwsJCpzHNmzcHYMeOHVgslis6bkFBQZnthw4dYvr0\n6QQEBDB+/Hjq16/P8OHDsVgsvPzyy+gm4iIiV0YhXkSkmnviiScICwvj4MGDfPTRR079kZGRhISE\ncO7cOb744ovLHm/9+vVERUWxfv16h/bCwkJGjRqFxWLhueeeo169egD069ePiIgIdu3aRVxc3DV5\nTSIi1zuFeBGRas7d3Z0xY8ZgmiazZs3i+PHjDv1ubm489dRTmKbJ1KlTnfpLO3HiBG+++Sbp6elO\na+hjY2PZu3cvrVu3plevXg7HnzBhAm5ubsyYMYOjR49e2xcoInIdUogXERHatGlD586dyc3N5Y03\n3nDq79OnD23btuX06dP07t3bvp98aUlJSfTr149jx47xwAMP8NBDD9n7fvrpJ95//318fHyYMGGC\n02ObNm1KTEwMeXl5vPLKK9f2xYmIXIe0O42IiIsqKioqc8tIGx8fH0aOHHnFxxs1ahTff/89GzZs\n4Ntvv6VTp072PsMwmD17NqNGjWLt2rX06dOH8PBwmjZtipeXFwcPHmTHjh24ubnRs2dPXn31Vftj\nCwoK7LvRDB8+nNDQ0DKff+jQoaxbt45t27axaNEievfufcXnLiJS3RimriISEXEpaWlpDjdjKk9g\nYCAJCQksX76cl19+mfbt2zN37tzffExsbCzTpk2jfv36rFmzpsz927du3cqKFSvYvn07GRkZFBUV\nUbduXdq2bcuTTz7JTTfd5DB+6tSpzJ49m2bNmrFs2TLc3Mr/JXB8fDxPP/00fn5+rFy58prdYEpE\n5HqjEC8iIiIi4mK0Jl5ERERExMUoxIuIiIiIuBiFeBERERERF6MQLyIiIiLiYhTiRURERERcjEK8\niIiIiIiLUYgXEREREXExCvEiIiIiIi5GIV5ERERExMUoxIuIiIiIuBiFeBERERERF6MQLyIiIiLi\nYhTiRURERERczP8Dysd09aXfx1IAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(a1['Close'],a2['Close'])\n", "plt.xlabel('LRCX')\n", "plt.ylabel('AAPL')\n", "plt.title('Stock prices from ' + str(start) + ' to ' + str(end))\n", "print (\"Correlation coefficients\")\n", "print (\"LRCX and AAPL: \", np.corrcoef(a1['Close'],a2['Close'])[0,1])\n", "print (\"LRCX and SPY: \", np.corrcoef(a1['Close'],bench['Close'])[0,1])\n", "print (\"AAPL and SPY: \", np.corrcoef(bench['Close'],a2['Close'])[0,1])" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zGNOb8PtdVXj4xjLMLXL+bOnoGNeB41KbHAOJMEiFNhG6jW9jx4BLxngKH0Cb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\nrBU4gWaMMcYYY6wVOIFmjDHGGGOsFf4PI5wMf0aWiLcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rolling_correlation = pd.rolling_corr(a1['Close'], a2['Close'], 60)\n", "\n", "fig,ax = plt.subplots()\n", "plt.plot(rolling_correlation)\n", "plt.xlabel('Day')\n", "plt.ylabel('60-day Rolling Correlation')\n", "fig.autofmt_xdate()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-Linear Relationships\n", "\n", "The correlation coefficient can be useful for examining the strength of the relationship between two variables. However, it's important to remember that two variables may be associated in different, predictable ways which this analysis would not pick up. For instance, one variable might precisely follow the behavior of a second, but with a delay. There are techniques for dealing with this lagged correlation. Alternatively, a variable may be related to the rate of change of another. Neither of these relationships are linear, but can be very useful if detected.\n", "\n", "Additionally, the correlation coefficient can be very sensitive to outliers. This means that including or excluding even a couple of data points can alter your result, and it is not always clear whether these points contain information or are simply noise.\n", "\n", "As an example, let's make the noise distribution poisson rather than normal and see what happens." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.2330944658121577" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NnPmW/vUvS8XFrSTdIKlXncP85QHVe89q+XC/53SpxveassIfQCAQYAEgyDyh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\n+fklZVdqC6kN2cifhVEAgPo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.random.rand(100)\n", "Y = X + np.random.poisson(size=100)\n", "\n", "plt.scatter(X, Y)\n", "\n", "np.corrcoef(X, Y)[0, 1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Standard Error\n", "\n", "We can also find the standard error of estimate, which measures the standard deviation of the error term $\\epsilon$, by getting the `scale` parameter of the model returned by the regression and taking its square root. The formula for standard error of estimate is\n", "$$ s = \\left( \\frac{\\sum_{i=1}^n \\epsilon_i^2}{n-2} \\right)^{1/2} $$\n", "\n", "If $\\hat{\\alpha}$ and $\\hat{\\beta}$ were the true parameters ($\\hat{\\alpha} = \\alpha$ and $\\hat{\\beta} = \\beta$), we could represent the error for a particular predicted value of $Y$ as $s^2$ for all values of $X_i$. We could simply square the difference $(Y - \\hat{Y})$ to get the variance because $\\hat{Y}$ incorporates no error in the paremeter estimates themselves. Because $\\hat{\\alpha}$ and $\\hat{\\beta}$ are merely estimates in our construction of the model of $Y$, any predicted values , $\\hat{Y}$, will have their own standard error based on the distribution of the $X$ terms that we plug into the model. This forecast error is represented by the following:\n", "\n", "$$ s_f^2 = s^2 \\left( 1 + \\frac{1}{n} + \\frac{(X - \\mu_X)^2}{(n-1)\\sigma_X^2} \\right) $$\n", "\n", "where $\\mu_X$ is the mean of our observations of $X$ and $\\sigma_X$ is the standard deviation of $X$. This adjustment to $s^2$ incorporates the uncertainty in our parameter estimates. Then the 95% confidence interval for the prediction is $\\hat{Y} \\pm t_cs_f$, where $t_c$ is the critical value of the t-statistic for $n$ samples and a desired 95% confidence." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "if Version(sklearn_version) < '0.18':\n", " from sklearn.cross_validation import train_test_split\n", "else:\n", " 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": 40, "metadata": { "collapsed": true }, "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": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AXHHs2DEA2rdv7/B16/GjR4/WWJlERERERKpLow8ALly4gMFgwM/Pz+Hrfn5+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\n8QQGBvLii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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(y_train_pred, y_train_pred - y_train,\n", " c='blue', marker='o', label='Training data')\n", "plt.scatter(y_test_pred, y_test_pred - y_test,\n", " 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": 42, "metadata": { "collapsed": false }, "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", "\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": [ "# Using regularized methods for regression" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.11311792 0.04725111 -0.03992527 0.96478874 -0. 3.72289616\n", " -0.02143106 -1.23370405 0.20469 -0.0129439 -0.85269025 0.00795847\n", " -0.52392362]\n" ] } ], "source": [ "from sklearn.linear_model import Lasso\n", "\n", "lasso = Lasso(alpha=0.1)\n", "lasso.fit(X_train, y_train)\n", "y_train_pred = lasso.predict(X_train)\n", "y_test_pred = lasso.predict(X_test)\n", "print(lasso.coef_)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE train: 20.926, test: 28.876\n", "R^2 train: 0.753, test: 0.653\n" ] } ], "source": [ "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": 45, "metadata": { "collapsed": true }, "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": 46, "metadata": { "collapsed": true }, "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": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ywQfvcuLEcQzDoEOHjkyZ8hgtW7YCYMyYYaSmpmAYBpMnT8IwDGbPnkPnzl1J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"text/plain": [ "" ] }, "metadata": {}, "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()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "collapsed": true }, "outputs": [], "source": [ "y_lin_pred = lr.predict(X)\n", "y_quad_pred = pr.predict(X_quad)" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "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": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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XUFCA3bt3g2EYfPnllzA3N0e/fv1w7tw5XL58Gb169ZKXDQkJkX8lmM+vvJQL\nUj4GBkawtLQu1y5ABgZGqFvXtkJ2AdK0fzyeHpycnJCYmFyluwB92F9d9EPTOiuibUJI9SWRSLBl\nywaMGDFaIQBo1qw5mjVrXsqVZSMSifDLL4tgZlYHU6fO0Hn9qrx7l4aJE8ciIyMd/fp5o02bthAI\nBDhzJhirVv2CuLg38PefLi8/f/4ijBgxBAEBS7B58w6d9GHixClgWRZfftkbNja22LJlp8L52Ng3\nmDLle1y8GILt2/eCx1M+ZTx//ne4uLiiT59+OumXJliWxbx5M+Hi4orZs+cDkC5MHj3aD0uXroCH\nR1et60xJScaUKd9jwoQp6NtXei9z5kzH0qX/h2PHTpXal1WrfoFAUHlv5nWhRgYAALB06VJMmDAB\no0aNwtdff42mTZsiNTUVJ0+eRHx8PEaOHIlPP/0UADB37lxERERg1qxZGDNmDBo3boyYmBjs378f\nzs7OmDlzZhXfDdGWdOLYoNx11K/voHF5ExMzldt+Kqtbk/6ZmpqiXj2bKn8aqYvxLGudFdE2IaR6\nevkyBoWFBZXWXnDwcSQkvMXkydNU7gZYEYKCdiEtLRXTp8/GkCF+8uP9+3tjxIghOH78KEaM+BaW\nlpYAgAYNbODr64djxw7h+vVr8PTsrpN+xMQ8g0CQi8GDfTnnnJ1d0KFDR4SG/o3bt2+ia9dunDJp\naam4cOEsVq5cp5P+aOrixT/w8GEU5s9fJD9ma2uLbt28sGnT2jIFAAsXzoWnp5d88g8AAkEuzM0t\nSr0uOPg4kpMTYWhoXGq56qbGBgAeHh44efIkdu7ciTNnziArKwt8Ph8tWrTAzJkz0a/f+z9ga2tr\nHD9+HFu2bMGpU6eQnp4Oa2trDB06FP7+/vK/gIRUd7RnPiEfvwcPIrFjx1bExDyDvj4PLVu2woQJ\nU/Dnnxdw8uQxbN68A+3auWP58sUICTkv/7mkn36ai6tXQznnYmKe4cCBIDx+/BCZmRkwMDCEq2sj\n+PoOQ79+AxTqePgwCjt3BuLZs6fQ19dHy5Zu8PefqrTPsr5s3x6E3347jFu3wjF69BiMHj1W43YD\nApbgjz/OgWEY7N27E3v37sS4cRMwduz3Ku9VIBAgKGgXbty4htTUFJiZ1UHXrt0wZsx42NjYqh3r\nkyd/g7GxCXx9/TjnlN3/hAlTlNbz4VbhPB4DHk8CgSAPYvH73QTNzKQPierXt4aXVy94ew9SuM7M\nzAytW7fbUGiJAAAgAElEQVRBWNhVvHr1Au7uHeXnfHyG4ujRgzhx4qjOAoDIyHtgGAafftpZ6fnE\nxIR/+8XdCEUkEmHTpnVYvnw16tevr5P+aOrSpT9hZVUXDg4NFY63adMOly79iadP/0GLFq20qu/5\n82j89NMShePbtu0t9brk5GSkp6fDyckFyckfbh1evdXYAAAAmjVrhrVr12pU1traGkuWLFFfkJBq\nivbMJ+TjFxPzHDNmTIWhoQFGjvwW9vYOeP36FebPn4WGDR3/TReUkuXiK8c9Fxv7BpMmjYORkTGG\nDx8Ne3t7ZGVl4syZYCxfvhiFhQX46quhAICXL19gxowp4PF4GDZsOBwdnRAXF4s5c2bC0bEht7V/\n+3Lo0D5IJMWYO3cBnJ1dtGp3yJCvYWJiguDgE+jV63P06tUHLi6NVN5rfn4exo8fjfT0d/DzGwEX\nF1fExcXi+PEjuHnzBnbvPoD69a1VjvWbN6+RnJwED4+uMDZWfHqr6v7nz58FW1s7Tl39+/dU2U7J\nMTp+/HfY2tpi7NjvVZaTpZLw+YpvlO3s7OHk5IyoqPvIzMyAlVVdtW2qc+9eBIyNTdCmTTvOuQcP\nIhEd/RRdu3ZD27bc83v37sSECf7yQCsk5DwniKwo0dFPYW/PfUNvbd0ALMvi6dMnWgUAISHnYWRk\nBBcX7TZ82b9/D6ZPn4U5c6arL1zN1OgAgJCqUFVP4WVtliSRFCMvL5tSaAj5SBw4sBdisQg//bQE\nvXp9Lj/eseOn+PFH/1Im/Oq9eBEDN7e2+OorX/Ts+b7u7t17wtd3AI4dOyIPAPbt2w2RSISFCxX7\n0aVLF/j7T1DaD5ZlkZSUiD17DkJfX1/rdps1a45Xr6SbdLi4NIKXVy9OGyXt27cHiYkJWLRoGT7/\n/Av5cScnZyxbtggHDwZhxoy5Kq+/c+cWGIZBx46fKalb+f1/9pkHpk2byLn/D/Py9fUZ1Kljgtzc\nAhQXv38DUK9evVLv6eXLF4iKugdX18ZK1zx06tQZ8fFxePgwSu34qCORSPDwYSTat3dXyO+XSCQI\nDf0bgYEb8c034zBu3ATOtcHBJ2BsbIzExAQkJiagsLBA5XbqulZYWIisrEw0bfoJ55ypqSkA6WJe\nbURF3YeVVV28fv0Kf/0VAqFQiPj4WPTo0Rv9+3srveaPP87By6snJ3j8WFAAQIgOKXsKX1RUAAMD\nI9SpY1WhgYCqXYVK++gYIaR6iYi4AyMjI3h5KT5R7tChExwcHJGY+LbMdffu3Qe9e/eR/1xYWAix\nWAxjYxPw+WZITn6/HbaqfrRv3wEuLi6IjY3l1M8wDHr37qMw+de2XW38/fdFGBkZKQQVANCjR2/Y\n2dmjbt3SJ9vx8XEAoPTjVaruv107dzg6OuHt23jO8ZJ4PD1YWfGRmZmn8RqulJRkzJ8/C/r6PMye\nPU9pGScnZ7Asq3Lrcm08fx6NvLw8CIVC7NixFSzLIiHhLe7cuQlfXz8EBR2Bubk557q4uFhs3rwO\nxcWK/7asXr1BZVubN6/H48cPP3iDBfB4+hCLpZthlMSyLCwsLLF69XpOXXl50nQrHs+Ac87ERBoA\n5OZq/jHP7OwsFBUVQSQSISzsCiZM8AcAZGVlYcSIIcjJycbXX49UuCYzMxPPnkXjxx9na9xOdUMB\nACE6pOwpPPA+MKjIdBw9PX2tjhNS3Rn+fgr8VcvBfJBfXVEYANBjYCFhoc034FkzM+TN+wlCNfvH\nq5OTkwOBIBfOzq6cSTQANG7cuFwBAACcO3cawcEnER8fi8LCQoVzssmZun588sknSgMAAErTMjRt\nVxsCgQCpqSlK+2hgYAA3tzZq68jKkn5p8MNUGnX336hRY04AUF7//PMYCxbMQm6uAIsXL0fr1m2V\nlrOyslLoe3ncu3cXDMPA3/8HNG3aTH786NFD2L9/N/r27a80AHByckZo6E2t2po2jbvDUlmCJOD9\nv2nKfm3EYtG//yvmnlRB8u8HZzIy0hV2MrK0tISHRxfs3BmIL74YoLAedO/enRg/fqLGbVRHFAAQ\nokOlPW2v6HQcPt8CIpGQs2c+n1/6DgaEVFemWzeCF/O80tst5UPcKplu3VjuAEC2+42RkfKHBMbG\n5dulZt++3dizZwdsbGzx3XcT4ezsKt/5Zt68mfIUDvX9UJ3yIEvBKEu72sjPl+bJGxoaan2tjECQ\nC+D9wlwZdfdfck98mezsLIWfeTw9AEJkZ+crTG7NzS04Ac/Fi39g1apfYGJiivXrt6Bt2/Yq+yxb\njCvre3lERt6DiYkJmjRRTKXx8RmKwMCNOHr0IBYs+Lnc7eiahYUF9PSU/y0tKJD+Lpmaar51e506\n0iDH3NyC840Fa2sbiEQi3Lp1Q76+4fr1a3Bzaw0Li497gxgKAAjRIXVP2ysyHYf2zCc1Tf7UH8Ff\n+UulvgHQ02MgKcMbgPwp5V8EKJtwFhUVKT0vm/RqQvYhJ5ni4mIcO3YIBgaG2LJlF2xt3++QI5FI\nIBSKOP34sA6ZD3e8KY027WpD9m0ebVI9PvR+Mq14P+ruX9mfg7d3HzAMA/bDXJYSSi4Cljly5CC2\nbduExo2bYuXKtUoXGJf0Pmjh7sqjjeLiYjx8+ABubq05AUlKinQ3m/R07fLoK4uenh4sLa2Qm8sN\ngvLzpcGbunEsicfjwcqqrtJg0sBAmmb07l0aAGn60bVrodUyMNIWBQCE6JCyp/AlVXQ6Du2ZT2oS\n4cCvyv1UXRuylIRsLVMSdMXCwhImJqZISUmGRCLhPOV88SJG4Wd9fek/4bKnniXFxcUp/JydnYW8\nvDw0atREYQIKSHd7EYmE8omghYUlTE1NkZKSorQfz59r/lZGm3a1weeboX59a7x7l4acnByFVBWJ\nRIILF86iTh1zTg5/SZaW0nSazMwMhePq7v/lyxecusqyCPh//zuObds2oWPHT7F8+Rqlb08+lJmZ\nqdD3soqOfoqCgnylu//cvx8BAKhbt/y7DMls3LgWjx49UEjbYRgG+vp6KC6WcAInlpX+Oaxdu0lp\nfe7uHfHo0QPO8fj4WDAMg2bNWmjVv9at2+D2bW5ak0gkDVBlOx1FRt5DSkoKFiyYU6KvLGJinqG4\nuBgLFswBn8/HwoWLtWq/KlAAQIgOyZ7C5+RkQCwWKpyjdBxCiDru7h0QHn4dYWFXFHZ5uX79KpKT\nkxQmy9bW1mBZFs+fP4OHh6dC2YSEeIWyFhaW0NfXR3p6GsRisXzXl5ycbAQGboKpqSkKCgogFAph\naGgId/eOuHEjDGFhVxUm0eHhN/D27VuNJ+3ativLuVf1FqSkXr364MSJozh37jRGjPimRB+vY9Wq\nXzBokE+pAYCjoxNYlkVcXCw6d+6icE7V/d+8eQNJSYmc+9d2EfCjRw+wadNatGnTDqtWrdc4lSku\nTjrBtbeXpqqIxWIkJr6FoaExJ8Aqzf37EWAYRmkA8OrVSwCKayMSExNUru/QxPTpszjHyroGAAA8\nPb1w+fJfSE1NQYMGNvLjERF3YGNjBze31grlk5OTUaeOGWdrVZkvvhiAsLCrSE5OVhjHV69ewMTE\nRP4RNE9PL3h6enGuHzZsEAAGAQFrtLqPqkQBACE6ZmBghHr17OijXIQQrY0aNQa3boVjxYplePPm\nNezs7PHiRQwuXvwD7dq548GDSHlZL69e2L9/Dw4fPgCWZUuUvQAvr164di1UXlZfXx89e36Ov/++\niAUL5qB37z5IT0/HqVMnMXiwDx48iMTt2zexc2cgevb8HKNHj/23H0sRE/MMDg4N8ebNa4SEnEfn\nzp1x+/Ztje5H23Zlk8yLF/+AubkFbGxsFXYQKunbb8fhxo1r2LkzEO/epaF581aIj4/FiRPHULdu\nPaXbV5Yk+/jV3bu34Oc3XOGc6vs/B3f3ToiMjNDo/lXZuHEtWJZF585dER4eprSMi0sjzr70d+/e\nUpi4v3uXhpEjh6F58xbYteuAxu1HRNwGwzBo1cqNc87BwUHhuwvR0U8REXEbo0aN0bj+iubl1RMu\nLq44cGAvZs+eD0D6DY3IyHucrxInJiZgxIghcHBoiMOHTyqtr3v3HujUqTMOHQqS1xcfH4eoqEjM\nmDFH7ZoCsVhcri16qwIFAIRUEErHIYRoy82tDdas2Yi9e3fg4MEg6Ovro0WLVli9ej1OnvxNIQBo\n3LgJVq/egB07tuLAgSCYmBijVas22LBhGy5cOMupe/bseTA1NcXNmzcQFXUfjo5OGD9+Ir744ku0\na+eO2Ng3OHVKur/7+PGT8Ouvm7B793b89tth6Ovro1mzllizZj3Cw69qHACUpV0fn6G4ePEPBAXt\nwoABg1QGAObmFtixIwhBQbsRFnYVp0//D2ZmddCjRy+MHz8Z9eqV/nVaFxdX2NraIyoqEoWFhQqL\nm1u2dFN6/ytXrkNo6N/lDgCePXsKhmGwa1egyjJjx36v8MGwpKRExMXFwt29k8LTeelkXf3S9YyM\ndCxbtghZWZnyNKYff5yCxo2byCe9ADB06H+QlpaKqKj7CAzcCB7PAN99V712vOHxeNiwYRsCAzci\nIGAJLC0t8ezZMyxZEgAPj64KZfl8PmxsbNGwoWOpdQYErMb27Vsxb95M8Pl85OTkYNmylfjsMw+V\n1yxevBAxMc+Qnv4OADBq1DA0btwES5asKP9NVjCGLW3FCimzsrzSqk3K8+qvtqAx0gyNk3o0Rpqp\n7uMUELAEISHnsWnTdk7KSWWp7mOkrePHj2Dz5vWYNGkqRo78Vmf1VsQ4BQZuxLFjh7Fy5Tp06fI+\n5Sss7ApOnw5WmS9fXdW036WKIhsnXSvLbmeEEEIIIR89H59hcHBwxNGjh1BQUFDV3VEpJSUZwcEn\n0K6du8LkHwCuXLnMyXknRB0KAAipANIPf6UiIyMJWVmpEInUL2gjhBBSuQwMDPDTT0uQlyfApk3r\n1F9QRVauXAYez4Cz/aRQKISjoxN8fIZVUc/Ix4oCAEJ0TPbV36KiAohEQhQVFSArK42CAEIIqYbc\n3Fpj5sz/4vz5Mzh//veq7g7Hrl3bEBV1H8uWreDsb29oaIgxY8YrfKWWEE3QGoAKQjltpavJuX9Z\nWakoKuK+SjYyMtFqUXBNHiNdonFSj8ZIMzRO6tEYaYbGST0aI83QGgBCPhKqPgJWkV8BJoQQQgjR\nFG0DSoga2u7nr+prvxX9FWBCCCGEEE1QAEBIKWT5/CWf3otEQlhaWqsMAvh8C4hEQoVr6CvAhBBC\nCKkuKAWIkFLInvyXJJEUIy8vW+U10g+AWcPIyAQGBob/5v6rDhgIIYQQQioTvQEgpBRlzeenrwAT\nQgghpLqiAICQUmibz6/tegFCCCGEkMpGAQAhpdAmn78s6wUIIYQQQiobrQEgpBTa5POXZb0AIYQQ\nQkhlozcAhKihaT5/aesFKDWIEEIIIdUFBQCE6Ijqff4ZSg0ihBBCSLVBKUCE6Aifb8EJAvT09MGy\nLKUGEUIIIaTaoACAEB1RtV6AYZSXV7eVKCGEEEJIRdAoBWj+/PkV0jjDMAgICKiQugmpCsrWC2i7\nlSghhBBCSEXSKAA4deoUGIYBy7I6bZwCAPKxKM8iXm22EiWEEEIIqWgaLwLu0qULvL29ddbwuXPn\nEB4errP6CKko6vb3VxccyFKDaBcgQgghhFQHGgcATZo0gY+Pj84afvr0KQUA5KNQ2v7+fL6FRjv8\naLqVKCGEEEJIRauybUBZltV5ShEhFUHVYl2xWFRqcEATfkIIIeWVnJyM06dPQiQS4eXLGIwePRYd\nOnSq6m6Rj5xGuwBFR0dDKBTi8ePHOmt44cKFiI6O1ll9hFQUVYt1i4vFEItFSs/RDj+EEELKi2VZ\nHD68HxMm+GPatBmYMMEfc+f+iLi42KruGvnIabwN6NGjRzFs2DAMHDgQQUFBSE9Pr8h+EVJtlLZY\nl2UlSo/TDj+EEELKKz4+Dv/88wgZGdI5V8uWbrC0tMKff16o4p6Rj53GAcCAAQNgZGSEmJgYrF69\nGl5eXvD398elS5cgFosrso+EVCkDAyPweAZKz+np6Sv9+FdN2OFHuvg5FRkZScjKSoVIVFTVXSKE\nlNHy5YvRrVsnREXdV1s2IGAJunf/VKOyZXH27Gl069YJ586dUVtWm36X165d29CjR2fcuXOrwtvS\nlKkpH6mpKXj3Lk1+zNLSCjk5OVXYK1ITaLwGYO3atcjLy8Off/6J33//HXfu3MHly5cRGhoKS0tL\nDBo0CD4+PmjevHlF9peQKqGvz1Oa7qOvz4OpqSkEgkywLAuGYWBmZvnR7/CjbucjQsjHhWEYMKq+\nSviBIUO+Rteu3eDq2kjn/Xj8+BHWrl2JQYN84O09WG15bfpdmuTkJBw7dhh3795CSkoy9PX14era\nGF988SUGD/aFnp4evv9+Mp48eYxFi+YjKOgw7Ozsy92uzI4dW/HPP48QFXUfLMuibdv24PP5EInE\nEAqlD1e6d++BwYN9YWRkLL+ufv36OHfuL/nPRUVFiI+Pw3/+M1JnfdOEQCDA1q0bAbCwsqqL2NjX\n8PYeDA8PzzLXmZ6ejnXrViInRwATEz4kkmIMGDAILVu6KZTLyEjHrl3bIRQWwtTUTGU5oh2tFgHz\n+Xz4+vrC19cXKSkpOHv2LM6cOYOYmBjs378fBw4cQIsWLeDr6wtvb29YWlpWVL8JqVSq9vI3MjKF\nQJAFiUSaCsSyLASCLPB4Bh/1RJkWNxNSezVr1hzNmun+YZ5IJMIvvyyCmVkdTJ06Q+f1q/Ly5Qv8\n8MNEFBcX46uvhqJRo8bIysrCuXOnsW7dKjx58hgLFy4GAMyfvwgjRgxBQMASbN68Q2d9mDhxCliW\nxZdf9oaNjS22bNmpcD429g2mTPkeFy+GYPv2veDxlE/Pzp//HS4urujTp5/O+qYOy7KYN28mXFxc\nMXu29MOwycnJGD3aD0uXroCHR1et60xJScaUKd9j9uxZ8PTsBbFYgjlzpmPp0v/DsWOnOOUmTJiC\nvn2l96ysHNGexilAH7KxscH48eNx9uxZnD59GmPHjoW1tTWePHmC5cuXo1u3bvjhhx9w9epV+eSI\nkI+VbC9/IyMTGBgYwsjIBJaW1igqylc5Uf6YqVrETIubCSFlFRx8HAkJbzFixGiYmJhUWrtr165E\nbm4u1qzZiEmTpqJv3/7w8xuO7dv3ol69+vjzzwtISHgLAGjQwAa+vn548CAS169f02k/YmKeQSDI\nRefOXTjnnJ1d0KFDRzx/Ho3bt28qvT4tLRUXLpxFQMCvOu2XOhcv/oGHD6MwfPho+TFbW1t06+aF\nTZvWlqnOhQvnonv3Hhg4cKD8mECQC3NzC045T08v+eRfVTmivTIHACU1b94c//3vf3H16lUEBQVh\n8ODBMDIywsWLFzFp0iR0794da9as0UVThFQZ2V7+devawdKyAQwMjGrsRFnVImZa3ExIxRMIBNi8\neT3+8x8f9OrVBYMGfYFVq35BSkqyvExpufE//TRX5TmWZXH8+BGMGjUMvXp1hbd3HyxfvhiZmZlq\n6xYIBNi4cR369u2L7t07K+1XaU6e/A3Gxibw9fXjnHv4MApTp05Anz7d0K9fD8ycORXR0U9Vjo8m\n/yfTu3cfTJ78A1q3bqtQj6kpX36s5D34+AwFy7I4ceKoRvelqcjIe2AYBp9+2lnp+cTEBACAmVkd\nzjmRSIRNm9Zh+fLVqF+/vk77pc6lS3/CyqouHBwaKhxv06YdEhLe4unTf7Su7/nzaPj4DFE4vm3b\nXuzcuY9T7quvSi9Hykan3wFgGAYeHh7w8PCASCTCrVu3cOjQIVy9ehV79+7FnDlzdNkcIZVG1dd+\na+pEWVXKU01Y3ExIdZafn4fx40cjPf0d/PxGwMXFFXFxsTh+/Ahu3ryB3bsPoH59azW58arPHTt2\nCGlpqfjyy0EwNzfHnTu3EBJyHq9evcTu3Qfk9X54fcl+jRkzBnZ2jnj9+jWnX6q8efMayclJ8PDo\nCmNjY4VzL1++wIwZU8Dj8TBs2HA4OjohLi4W8+fPgq2tHaeu/v17lj6IkM5Hjh//Hba2thgy5Gul\nZViWRXx8HHg8HpydXeTH7ezs4eTkjKio+8jMzICVVV217Wni3r0IGBuboE2bdpxzDx5EIjr6Kbp2\n7Ya2bbnn9+7diQkT/GFjYwsACAk5j379BuikX+pERz+Fvb0D57i1dQOwLIunT5+gRYtWGtcXEnIe\nRkZGateYyMq5uLhq3WeiXoV8COz169cICQnBpUuX8OTJEwCAkdHHmw9NPl6nYk4iJT8Zk9pOLXMd\npS2IrakTZVnKk7KghxBScfbt24PExAQsWrQMn3/+hfy4k5Mzli1bhIMHgzBjxtwy1c2yLGJj32D/\n/mPyf5O9vQdj3rwihIdfx/XrV9GtW49S+7VkyXL4+fkiMzMPYrFE437duXMLDMOgY8fPlNS9GyKR\nCAsXLkGvXp/Lj3/2mQemTZvICUY0zc2vV68e51h+fj6KiooQG/saR44cwJs3rzBt2kzUq6f4VL1T\np86Ij4/Dw4dR8PLqpVF7pZFIJHj4MBLt27sr5PdLJBKEhv6NwMCN+OabcRg3bgLn2uDgEzA2NkZi\nYgISExNQWFiA/Pz8cvdJE4WFhcjKykTTpp9wzpmamgKAfItSTUVF3YeVVV28fv0K+/ZdQk5OHmJj\n36BHj97o399babm//gqBUChEfHwspxwpG50FAJmZmbhw4QLOnDmDR48eAZD+P5vWrVvLFwUTUllY\nlsXcazOx/5890Gf00a5BB3S28yhTXeoWxNbUibIs5YkQUnn+/vsijIyM0LPn5wrHe/ToDTs7e9St\ny53UaophGAwYMJjzQO7zz7/AjRthuHcvQmUAIOtXyQm6Nv2Kj48DIA1kPhQRcQdGRkbw8lJ8st+u\nnTscHZ3w9m0853hZTZkyHi9exAAAGjVqjHXrtsDdvSOnnJOTM1iWRWJiYpnbKun582jk5eVBKBRi\nx46tYFkWCQlvcefOTfj6+iEo6AjMzc0518XFxWLz5nUoLlb8N2j16g0q29q8eT0eP36o8e5JLMvC\nwsISq1ev55zLy5OmUinbCtvERBoA5OZqviVpdnYWioqKIBKJcPVqKGbMmIHMzDy8e5eBESOGICcn\nG19/PVKhXFjYFUyY4A8AyMrKUihHyq5cAYBQKERoaCjOnDmDsLAwiMVisCyL+vXrY+DAgRgyZAia\nNGmiq74SojGGYVDfRPpEp5gtxqSL43D56+uoa8z9R0pVeo+Mujx/migTUnG2RW3B9gdbVJ5vbNkE\nwYPPlVqH7xlvvMx6ofL8pLZTMbmd6reELzJjMOT3gSrPq7teUwKBAKmpKXB2doW+vmIaoYGBAdzc\n2pS7DWVpF7L0juRk5ZNdXfQrK0u6xuDDdJqcnBwIBLlK6wakk/QPA4DymDdvEXJyspGYmICLF//A\njBlTMGrUGHz//WSFclZWVgr9Lq979+6CYRj4+/+Apk2byY8fPXoI+/fvRt++/ZUGAE5OzggNVb4o\nWJVp03S3w5IsnVVZLCHbGlubb0HJNoXJyEhH37795cctLS3h4dEFO3cG4osvBsg/spmRka6w49GH\n5Wi3ybIrUwBw7949nDlzBiEhIcjNzQXLsuDxeOjduzd8fX3h5eWl9C8yIZVpdsd5uJl4A+GJ15GY\nl4Af/p6Mg1/+pvBURJP97mtqnj8hH4NcYQ6S8lQ/hTU35E6aPpSWn1pqHbnC0p9gillxua7XVH5+\nHgDA0NBQJ/UpI0vbKEm273xRkfKP/emiXwJBLgDAzMxM4XhhYcG/fVD+1rTknvgy2dlZGrVpbm7B\neQpecnvTQYN8sHDhXBw8GIQWLVrC09NLfk62EFfW7/KKjLwHExMTNGmimErj4zMUgYEbcfToQSxY\n8LNO2tIlCwsL6Okp3y+moECahmRqyte4vjp1pH9fzc0tYG+v+J0Fa2ubf9eP3pCnv5mbW3C+x1Cy\nXGWtg6iJNA4AYmNjcebMGfz+++9ISEgAy7IAgE8++QS+vr4YNGgQ6tbVzUIZQnRBX08f2z7fjV7H\nuyK9MB0XY0Ow82EgJradIi+jyX73NTXPn5CPQR1Dc9jxVX+QydpU/ds3a9MGyCllkl5HTRDBY3il\n9kHd9Zri86UTKW1SKpSRfVhKmaKiQs6xwkLpMWNj5Vtz6qJf7yfUAoXjsom/qj7Lgo+SvL37gGEY\n+TxEmZKLgEsrM3DgYISFXcHNmzcUAoD3AQt3Rx5tFRcX4+HDB3Bza80JSGS7D6Wna5dHX1n09PRg\naWmF3FxuIJSfLw3elC3UVoXH48HKqq7SYNLAQJpm9O5dmsblSNlpHAD06yd9BSPNFbOAt7c3fH19\n0aqV5iu/Calsdmb22NJ7B4afHwoAWHpzET617Yz2Nh0AaLbffUUuiFWXfkRIbTe5XfnTa9SlCKnT\nxKopHnwbXa46NMHnm6F+fWu8e5eGnJwchZQQiUSCCxfOok4dc3h59YS+vvSfb9lT2JLi4uJUtvHm\nzRvO11sTEqQpNg0bOmrULyur9098P+yXKpaW0pSazMwMheMWFpYwNTVFSkoKJBIJ52nzy5fc1C1t\nFgGnpCTD3388GjZ0wsaNgZwysomtRKIYTMi2RZX1uzyio5+ioCBf6e4/9+9HAIBOH6Bu3LgWjx49\nUJq2owzLSv8c1q7dpPS8u3tHPHr0gHM8Pj4WDMOgWbMWWvWvdes2Sr91IBJJU4pkAYW6crIdkUjZ\naJUC5OnpCV9fX/Tu3btCX1ESoku9nftiSrvp2Bq1ESKJCBP+Gouw/9yBMc9Y4/Seisjz1yT9iBBS\nu/Tq1QcnThzFuXOnMWLEN/Lj4eHXsWrVLxg0yAdeXj1hbW0NlmXx/PkzhQn99etXkZAQr3QBKMuy\nOH/+dwwZ4qfwb3hIyIV/96fn7tDzYb9+//0Upk3zV9kvVRwdncCyLOLiYjkfwnJ374gbN8IQFnZV\noXy+SLcAACAASURBVI6bN28gKSmRcy/aLAK2sbGFnp4+oqLu4eHDKM4k/Pz5s2AYBu3bK9YZFyed\n3JZMUxGLxUhMfAtDQ+NS3yx86P79CDAMozQAePXqJQDFtRGJiQlKt93U1PTps8p8rTKenl64fPkv\npKamoEEDG/nxiIg7sLGxg5tba4XyycnJqFPHDHy+2YdVAQC++GIAwsKuIjk5CVZW79eJvnr1AiYm\nJujSxfODcskK4y0r17VrN13eZq2jcQBw5coV2NjYqC9ISDW04LNFuJUUjueZz7DIYymMedK80qpM\n79Ek/YgQUrt8++043LhxDTt3BuLduzQ0b94K8fGxOHHiGOrWrSffJtLLqxf279+Dw4cPgGVZ2NnZ\n48WLGFy8eAFeXr1w7Vqo0vobNmwIf//x6NPnC5ia8hEeHoa7d2+hbdv26NRJ+QeqSvZr+/atyM3N\nQqNGn+DNmzecfqki+/jV3bu34Oc3XOHc6NFjcetWOFasWIqYmGdwcGiIN29eIyTkHNzdOyEyMkKb\nIeSYM2c+5s+fhVmzpmHQIF80adIUAoEAf/99EU+ePEabNu0UtlyV9fPDSfu7d2kYOXIYmjdvgV27\nDmjcfkTEbTAMg1at3DjnHBwcFL67EB39FBERtzFq1Jiy3WwF8PLqCRcXVxw4sBezZ88HAMTEPEdk\n5D2sXLlOoWxiYgJGjBgCB4eGOHz4pNL6unfvgU6dOmP//iCsXLkcgHSXqKioSMyYMUe+pkBW7tCh\nIHm7ysqRstE4AFA2+U9KSkJkZCTS09NRUFAAc3Nz2NnZoUOHDpyFPtXBjRs38N1334FhGDx9qviF\nwbdv32LLli0IDw9HRkYGrKys4OnpialTp8LBoeyROKkeDPQNsLNvEIolxXCxeP9Rkarc776mfkWY\nEFJ25uYW2LEjCEFBuxEWdhWnT/8PZmZ10KNHL4wfP1m+X33jxk2wevUG7NixFQcOBMHExBitWrXB\nhg3bcOHCWaV16+np4bvvJuHBg/s4ffp/SExMhJmZGQYP9sWkSdM06tf+/Xtw6dIlpKUdVdovVVxc\nXGFra4+oqEgUFhYqfAysZUs3/PrrJuzevR2//XYY+vr6aNasJVauXIfQ0L/LHQB8+mln7N59EEeO\nHMCVK3/j1KkT0NfnwdHRCRMnToGf3wiF1KOkpETExcXC3b0TZ9ci6WRd+aLYktLT0zFr1jSkpb2T\nbzv6449T0LhxE/lkFgCGDv0P0tJSERV1H4GBG8HjGeC77yaW6351jcfjYcOGbQgM3IiAgCWwtLTE\ns2fPsGRJADw8uiqU5fP5sLGxVZlOJhMQsBo7d27F5MmTYWhojOzsbCxbthKffebBKbd9+1bMmzcT\nfD4fOTk5SssR7TFsaatoVLh8+TK2bNnCmUTL6OnpoXv37pgyZQrc3LgRb1XIy8vDwIEDkZSUBAAK\nfY+Pj4efnx9EIhHGjBkDV1dXvHnzBkFBQTA2NsaJEydgZ6f5IhcA8o+kEOV4PD1YWfFr9ThlZaWi\nqKiAc9zIyASWlg1ojDRE46QejZFmaJzUK88YHT9+BJs3r8ekSVMxcuS3FdTD8gsM3Ihjxw5j5cp1\n8nQUmbCwKzh9OlhlvrwM/S6pR2OkGdk46bxebQqzLIvly5fj8OHDYFkWBgYGaNWqFWxsbGBiYoLc\n3Fy8fv0ar1+/RmhoKK5du4bp06djwoTSXw1WhlWrViErKwuurq54/fq1wrkVK1YgKysLe/fuhYfH\n+6iyffv2GDduHFatWoUNG1R/dIOQsqDdhQghtYmPzzAEB5/E0aOH4OvrBxMT5bsOVaWUlGQEB59A\nu3bunMk/AFy5cpmT807Ix0irAGD79u04dOgQ6tSpgx9++AFDhgxRuqdwamoqDh48iH379mH9+vUw\nNDTEmDFjdNVnrd28eRMnTpzAjBkzEBYWphAAZGRk4OrVq2jatKnC5B8AunTpgqZNm+LSpUvIzs6G\nhQVNzIjuVGX6ESGEVDYDAwP89NMSTJs2AZs2rcN//7uwqrvEsXLlMvB4Bkr35BcKhXB0dPp/9u4z\nMKoqf/j4905NzyQkIaGjIAhYQAUFKQLSm0GKKIIsoKKIDTsrKoKs/HUVXVFAqgJSlCbSQUBpipTH\nQieQ3sskmf68CDNkkqnJpJ/Pm13v3HLuYZKc8ju/w7BhD1dByQTBt9wHsl2XnJzM559/TlhYGN99\n9x1jx4512PgHiIqK4qWXXmLlypUEBATw0Ucf+Ww7bW/l5+fz5ptv0rZtWyZOnFjq89OnT2MymWjf\nvr3D69u3b4/JZOL06dMVXVShDrJmFwoPj0GjiRKNf0EQarV27W7jxRdfZevWjWzduqmqi2Nn4cIv\n+OOP33nvvTkOc9sXDWZOFLvPCrWCxx2AtWvXYjKZmDFjBs2bN3d/AXDHHXcwc+ZM9Ho93377bZkL\nWR4ffvghqampzJ492+FudlevFuU/LrkjnZX1uKu8ykLNl6xN4mL2haouhiAIQq03ePAwfv75KAMH\nDqnqotiZNOlp9u791WU2JEGoLTzuABw9epTw8HD69+/v1QMGDx5MTEwMBw4c8Lpw5XXkyBFWr17N\nk08+yS233OLwHK1WiyRJTmMR/f39sVgspXYvFGqPvXG7eeC7zjyx7TEKjKUX5Qo3FO1dkEJGRiJZ\nWSkYDM53HBUEQRAEoXryeA3AxYsXad++vcPNRdzp0KEDP//8s9fXlUdhYSFvvvkmt9xyC0899ZTT\n89y9TxmSJAEgl3vct6qTrPVT1fVkMpt459e3SCtII60gjbd/eZ2PerrO7lBZqksdWel0hWRnp2Iy\n3Vi0bDTqCQuLQq32c3Flxapu9VQdiTryjKgn90QdeUbUk3uijjxTUfXjcQcgOzubyMjIMj0kPDy8\n0kfQ582bR1JSEmvWrEGhcP6agYGBWCwW8vNLb6cON2YIgoODvXp+SEj1y25QHVWHelo76jvu/upu\nCowFLD3zNf1b92Vk25FVXSyb6lBHAHFx6XaNfwCTyYReryU6ul4VleqG6lJP1ZmoI8+IenJP1JFn\nRD25J+qoanjcATAYDHZbh3ujLLMG5XH8+HG++eYbRo8eTUREBMnJyUDRaL7BYACwHWvatCmA00XK\n165dA/B43YNVTk4BJpPIa+uMXC4jJMS/WtRTjKIp/+nxEVN3PQ3AxE2TaBFwK801N1VpuapTHQEU\nFjoO9yks1JGZqa3k0txQ3eqpOhJ15BlRT+6JOvKMqCf3RB15xlpPvuZVGtCa4vDhwwCsXr2aVatW\nlfpckiS6d++OJEkcPXoUpVLJsWPHHN7r+PHjqNVqbrvNu7y/JpNZbGzhgepSTyNbjmHflb2sP/cd\nufocJmwbx5bYHajlVZ+Vp7rUkbPdLyVJVi3KV13qqToTdeQZUU/uiTryjKgn90QdVQ2vOgD5+fm2\nkXNvr6tMgwcPdtpgnzdvHufPn+fLL78EIDg4mH79+rFlyxb27NlDz549bef+9NNPtl2CAwN9vwub\nUH1IksSH3T/mRMpvXMy+wMnUE7z367+Zdf/cqi5atSE2LhMEQRCE2sGrDsC6detYt25dRZXFZ5o2\nbWoL7Slp0aJFAHTv3t127JVXXuH48eO89NJLjB8/nptvvplz586xbNkymjZtyosvvlgp5RZ8S5aY\ngKTVYmrR0qPzg1TBLOy7jAHre6Ez6cjWZWO2mJE5Gfmua8TGZYIgCIJQO3jVAShrRhyo/HUArpQs\nS2RkJN999x2fffYZ33//Penp6URGRvLwww8zZcoUselHDSSlpBDe8Q4knY78Z6ahnfEOONgHoqTb\nIm5n1v1zKTQWMPn2KT793hoMuhrfeLZuXCYIgiAIQs0lWcrTqhecyszUipg2FxQKGWFhgRVWT7LL\nlwi/tz2SuejehcNHkvvJ/6CMC9nLqyh/fmqp8BmNJtJpJ6Ci66i2EPXknqgjz4h6ck/UkWdEPbkn\n6sgz1nryNRHbINRK5mbNyZv7EZbro/5+678jdMwIpNycKimPdeS/OLPZhFabXSXlEQRBEASh7qqU\nDkBOTo7TNJuCUFEKx00gZ8k3WPyKNqlS/byX0KEDkCUnVXpZSjb+3R0XBEEQBEGoKB53AJ599lnW\nr19fpod89tln9OrVq0zXCkJ56PsPJGvdZsxhYQAoz5xCM/BB5OfPVWo5ZDK5V8cFQRAEQRAqiscd\ngF27dnH27FmHn82ePZs2bdr4rFCC4EvGjp3I2rITU+MmAMjjrqAZ2BvFsSNe38tsMXM1N87r6wID\nQ0s19h2l0CxaK5BCRkYi6enJlZ5CVxAEQRCE2s9nIUBiLbFQnZla3kLW1p0Y2xbtDyHLzEQzfDCq\nn370+B4Z2jTGbIql/7qenE08g8HgeGdcR6wpNNVqf5RKFWq1f6kFwNaFwjpdAQaDnsLCfOLi4tDp\nCj1/UUEQBEEQBDfEImChzjBHx5C1aRv6rj0AkAoLCRk/Br9lX7u91mDQ8cb+l9kTv4eUghSe2f80\nKenxZegERBEeHoNGE1Uq+4+jhcJGo5G8PLFQWBCE8jtx4je6dr2H2bPfKfM97rvvrlod0puUlEjX\nrvfw3HNPVXVRBKFCiQ6AUKdYgkPIXrWOwtiHAZDMZoKnP0/AB7PAxSyWVpvNc22fI9o/GoCTGSeZ\n9ft75OVl2YXtZGWleNUpKE4sFBYEYePGDZw48VuF3Lt585uZNWsuw4ePKvM9Zs/+DzNnzvRdoaqZ\nsLAwZs2ay7/+9WSZ72EwGFi06EuR/ESo1kQHQKh7VCpy/7eI/CnP2Q4FfvQfgl54FgwGh5eYzSbq\n+dXjv/f9F7WsaOR+/eX1fPPPCruwHZ2ugKys1DJ1ApwtCDYYDOXqWAiCUDOYzWY+++y//PHH7xVy\nf41GQ/fuPWnVqnWZ7/HAA73o2rWrD0tVvajVfnTv3pM77mhf5nucPfsPixd/RXx8vA9LJgi+JToA\nQt0kk6GdOYu89+Zgub7br/+3KwgZ9whotQ5OL2qctw1ryzt33Zg+n31iNkeT7RcTlzW/v6OFwgAW\nixmdroCMjCQKCvK8vq8gCDXDhQvnKCwsqOpiCOX0//7fKZ/uIi8IFUF0AIQ6reDJZ8j9agmW6zsE\nq3ftQBM7ECktze684o3zgU0GMr7leACMFiMvHXmJpHz7vQXKErZTfKGwsz8eOTnpYiZAEGqh2bPf\nYcKEx5Akia+//oquXe9hyZKFADz77GS6dr2H+PhrvPDCMzz4YFd27PjJdu2+fbuZNm0KAwf2onv3\nTgwc2ItXXnmeM2dO2z3D0RqA99+fSdeu93D+/Dk2bfqeceNG06tXF/r1e4DXX3+ZlJRku3uUXAOw\nbdsWuna9h7VrV3Py5AmmTn2Sfv160KtXF55+eoLD2YyDB/czadLj9O59P4MG9WbWrLfJzMzkpZee\no2vXe0hKcr1Xi/WZS5cu4siRX3nqqQk8+GA3+vbtzksvPce5c6UzFiYlJfLBB+8xfPggHnjgPvr1\ne4Bnn53Mzp0/lTqv5BqAxYu/pGvXezh4cD/79+9l0qRxPPhgN/r06c7zz0/h4sXztnNHjBjC/Pkf\nAzB27Fg6d77bVgdJSUnMm/cBo0fH0rv3/QwY0ItJkx5n/fo1Lt9XECqCoqoLIAhVTTc0FnNEJCHj\nxiDLyUZ54nc0A3uTvXoD5uY3ATca59aFuq/c9RoX8y/zc/w+lDIl2fpsogOibfcsa35/60LhjIxE\nDAa9w3O02mw0mqgy3V8Q6jKDQY/ZbESp9EMmq17jX8OHj8Lf358NG9bSs2dvevZ8kGbNin7/SJKE\nJEl89tl/iYyM4rXXZtCq1a0AbN26iQ8+eI/mzW9iwoQnCQ0N5dq1q6xdu4pp055iwYKvadmyldPn\nWu+9atUKzp79m8GDhxEcHMKBA/s5cGAfaWmpLFy4zGXZJUnizJlTrFixhIceephBg4Zy9uw/rF+/\nhldffYHVq38g7PpeLIcOHeCNN6YTEhLKhAmTiYiI4uDB/Tz33JOo1X4ej5xLksTJkyf44Yf1DBs2\nnNjYkVy8eJ7vvvuWqVOfZMmSb4iJaQDAtWtXefLJ8ej1BoYOjeXmm1uQm5vD9u3bePfdGVy7dpUn\nnpjkto727t3FH3+cIDZ2BPXqRfDHH7+zdesmXn55Gt99txGFQsHLL7/ON98s448/fmfq1KnExDSm\nefObyM/X8uST49HpdIwYMZomTZpSWFjI/v17+O9/55GUlMQzz0zz6N0FwRdEB0AQAEOXrmRt+onQ\nR4YjT0xAcekiYQN7k718Nca7OwI3GudWC/su5fWfpzPt1qmEq8Jsxx3l9/eWqw5EdV4UbDDobJ0k\naz2UzHYkCJXNYjGTlZWGwaDDYjEjk8nx9w8kKCjM/cWVpFWr1raR5GbNbqJ7956lzjEaDbzxxtt2\nx+Ljr3HHHe15882ZtgYvQExMA2bNepsNG9bx6qtvuny2xWLh1KmTrFz5HWp10c9rv34DGTlyGP/8\n8xdJSUlER0e7vH7fvt0sWfINN93UAoC+fQeQk5PN9u0/cvjwIfr3HwQUjaYDvP/+h9xxx50A9OnT\nj//85302b/7B4w6AxWLh99+Ps2jRcrsOTmiohv/97xPWrPmG55+fDsD8+R+Rm5vL7Nkfcv/93W3n\nDhkSy9ixo1i2bDGDBw8jIiLS5fMOHTrAqlUbCAsLt9XRtWtXOXXqD86cOcWdd3agU6f72L17BwAd\nO3akRYs2GI1mfv55HxkZ6Tz99HOMGTPWdt/Bg4cxd+4scnJEtjehcnnVAfj+++/Zt29fqeOZmZkA\n9O3b1+F11s8FoToztWlL1o+7CB0di+Kfv5GlpRH60EAS584lf8CgUo3ZML9wFvRZXCGN3sDAUHQ6\nx7HA1XX3YOs+BsU7KAaDvtR+B4JQ2XJyMtDrb/w8Fa3TyUGhUOPnF1CFJfNOnz79Sx2bPHmK3X/n\n52sxmy1ERxd1BpKS3GeikSSJoUMfsjX+rcfatGlDcnIiaWkpLjsAAHfd1dHW+Ldq27YdP/20lbS0\nVAByc3M5d+4fYmIa2Br/Vk88MYnNm39wW9biWrduU2p248EH+/G//33CyZMnANDpCjl8+BciIiLt\nGv8Afn5+9O3bn+XLv+bQoQMMHRrr8nm9e/e1Nf5vvONtnDr1B6mpKS6vVSiKmlunT5/EaHzE9t8A\nr776lusXFYQK4FUHICcnh5ycHKefX7lyxelnYkGMUBOYGzYia/N2gseNQf3rIWQ6HQ2ff56kS5fI\nmDQZTVjp/P0lZwZ8QalUExpaj5ycjFKb7BmNRVmBqtvouqN9DKwLostaP2JGQfAFZ+F0hYXaGtUB\naNCgUaljOl0hS5cuZu/e3SQnJ2I0Gm2fSZKEyeTZjGHj6zulF6dW+wHY3dOZJk3cX5+YGH/9WU1L\nnRsZGUX9+tGl1hy4UrLDARAREYFMJiMjIx2AuLg4zGYzzZvf7PAezZo1x2KxEBd32eWzJEmiUaPG\npY5bO03u6qhjx3tp3/4uDh36meHDB3L//d1p3/4u7r67ExqNxuW1glARPO4ALF++vCLLIQjVhkUT\nRtzChUS8+TphGzcCEP3JJ6jj4kh77300UaX/CFeEoKAQ6tULJSEhCaPRgNFYlKLUZDJiMhl9Prru\nbWO75Pkmk+M/gGUNWRIzCoJgLyCgdGfllVde5Pffj9Gu3e089tg46tePRqlUkpiY4NWGX6rriRDK\nypPrCwqKdjX39/dz+HlwcLBXHYDAwECHx/39A8jNzbv+zHyXz/Tz87t+nvvsSypV2X/vKBQK/u//\n5rN58w9s27aFLVs22kKeunTpxosvvuIyBEkQfM3jDkDHjh0rshyCUK2YFXLi33sPfdOm1P/0UwDC\nvv8eVWIiBcvXYNFUTuxwQEAA9erVJy0tydYBsJWxnKPrxXnb2HZ0vjNlDVmqiBkFoW5SKJSYTKX3\n+FCr/augNL7z11//j99/P8bNN7fk008XoFQqbZ/J5dUvVFCtLuok6PXOEhyUTsHsSmFhocPjBQX5\ntlCdgICiTkJ+vuMGvvW49byKpFQqiY0dQWzsCHJycjh+/Cjbt2/lwIF9xMVdYfny1dVucbpQe4lv\nmiA4IJPJQZJInTSJuA8/xHx9dCvw8GE0Ax9EdvmS23v8nnycQqPjP1Dequhdgl01tj0935HyLIgW\nOyMLvhISEm7XkZUkGf7+Qfj5VXyjryIlJBSF1Nx5Zwe7xj/AsWNHHF1SpaKi6gM3yl1cZmYGSUmJ\nXt3vypXSv4fj469hNptto+mNGzdBoVBw6dIFh/e4cOEckiTRrFlzr55dXiEhIfTs2Zu5cz+mW7ce\nxMVd5tKli5VaBqFuEx0AQXCgeN7/nH79uLR4McbraewU584SNqAXChd/YDecW8uQ7/vx7O4nMVvM\n5S6Ps1F0Xy0I9rax7ey4XK5ArfZHqVShVvuXK1ynot9ZqDtkMjlhYfUJC4siODiM8PBoQkLqVbu1\nadZRe53Os70+6tWLAG7E1ludO3eWbdu2eHWvyhAeXo+GDRsRF3eFCxfO231m3fPAG6dPn+TiRfuG\nvTWvf4cOdwNFMfpdu/YgPT2Nfft2252bl5fH9u0/olQq6drVfoFweVj/HYvPUCxe/CUjRgx1mBTF\nGoZUshMnCBXJ4xCgW2+9tVwPkiSJP//8s1z3EITKUjLvv7nTfaRv3UG9cY+iOHcWWVoamthB5M5f\ngG7YcLtr0wrSeGnfNPRmPZsufE+DXxrybpfZDp9TPI4eJCwWC5JU1GAJDtYARSOUgYGh13OY32h4\n+yLdaPF7+eK4QqH0WXhORb+zULdIkoRK5Y9KVX3Dfho0aAjAjh3bCAkJpX79aHr1etDp+W3b3kZM\nTAMOH/6FTz/9P1q3bsulSxfYtGkD7703l9dee4lz587yww/r6Njxvsp6DZcee2wcc+e+zyuvPE9s\n7Ag0mjCOHv2V1NRUWrS4hfPnS2/i5cydd3bg5ZefY+DAITRu3ITz58+ydu1qQkM1jBz5iO28Z56Z\nxsmTv/P++zP5888z3HRTCzIy0tm2bQsZGem8+OIrhIa6XohbMhmDq88aNGiIxWLh888/p3v3nrRu\n3Y577unEt98uZ9Kkxxk0aCgNGjTCZDJy4sRv7NjxE5063UeTJqUXRwtCRfG4A1DUMJGoV69euRcL\nCUJNUCq7jyaKrK07CfnX46gO7EfS6QiZ/ATay5fIn/YSXB9NjPCPYGGfJYz9cTQmi4kFJz+jYVBD\nnrzjGbv7u4ujNxr1hIT4FytLpE8y4jha7OttY7syGue+fGdBqAnatbud2NgRbN/+I0uWLGTgwCG2\nDoCj2QqlUsm8eZ8yf/5HbN/+I9u3/0irVm34z38+oW3bdjz99FQWLfqCBQs+p379GPz8/GybWpVH\nyeuL/tvxPUs+b9CgYRiNRtatW8PixV8RFhZGt24P8OqrM5g69UkA5HLPghNuuaUVjz8+gcWLv2TN\nmm+RJLjnnnuZMuU5uwW19etHs2jRCpYsWcju3TtZu3Y1/v4BtG7dhqlTX6Rjx3tdltnRO7v6bOjQ\n4Zw48RunTv3BxYuXeOGF6fTu3ZfPP1/EqlUr2LTpe7KysggMDCQ6Ooann57KiBGPOLm7IFQMyeKq\nW1vM/fffT1paGmq1mg4dOtC9e3f69OlDgwYN3F9cB2VmajEayx/6UVspFDLCwgJrZj3p9QS98gL+\n366wHSoc/Si58z6BYp3jFX8u5aV9zwEgIbGo7zIG3zzM9nlWVorTXP9WAQEBhIXV91kdOep0yGRy\nNJqiP5blyQJUVY3zGv1dqiSijjwj6sm9iqyj2NiBpKensWPHz3Z7EpS0bdsWZs9+h0ceeYwpU6rn\n7rniu+SeqCPPWOvJ1zxeA3DgwAGWLFnCgAEDOH36NHPnzqVXr1488sgjrFy5kvT0dJ8XThB8pajh\nm0JGRiJZWSkYDOWIi1WpyPv4M/LevLEjp9/qbwgdHYuUdSO+c2yb8bx49ysAWLAwZdckDif+avvc\nk8Ws+fn56HQ34kjL+x6uFvtaZzzCw2PQaErvd1CSt+cLgiD88MN6XnjhGc6cOW13/NixI6SmpnDr\nrW1dNv4FQfAN+cyZM2d6cqIkSTRu3JjevXszfvx4WrVqhdFo5Pjx4+zdu5dly5Zx7NgxDAYDjRo1\nsi1qqasKCw2YzR5NrtRJMpmEv7+qUurJOuptNBaFrJhMRnS6AlQqNXK5V3vh3SBJGO/tjOmWVqh2\nbEMymZDHXUG1bSv6ng9iub5guGNkRy5lXuDvrL8wWUxsu7SFEa1GE6QKpqBA61EnwGw24+cX6JP3\nyM/PcfhMmUyGv3+wd3VQTVTmd6mmEnXkGVFP7pW3jgoKCli+/GsOHtyPwWAgOTmZfft289lnH2M2\nm3njjbeJiXEdWXD+/FkOHNjPbbfdzj333Ovy3KoivkvuiTryjLWefK1MrR+VSkW/fv3o168fubm5\n/PTTT2zevJmjR49y5MgR3nnnHbp06cKAAQPo3bu30806BKEyVGQ+ed3QWEwNGxH6+GhkaWkozp8j\nbEAvspeuoqBDe7Kz05hx51ska5P4JeUXHm/5OOHKos6Bh9F3trL74j2cZ9CpXtlQBEGondq3v4tP\nP/2SVauW88MP68nKyiQgIJD27e/isceeoG3bdh7dx9W6A0EQ3PN4DYAnUlJS2LJlC1u2bOHPP/+8\nnnVBRbdu3Rg4cCD9+vXz1aOqPRHT5lplxv5lZCRiMJTeeEapVBEeHuOTZ8iuXCb00REozv4DgEWp\nJOWdd0kdPAgArUHL4ZTD9GrY63p6zCin5SrJzy+A0NBIn7yHwaAjMzMFS6nUpBLh4fVrZBiPiCN1\nT9SRZ0Q9uSfqyDOintwTdeSZKl8D4ImoqCgmTJjAhg0b2Lx5M7169UKv17Nz505eeOEFXz5KEDxW\nGfnkzU2bkbV1J/puDwAgGQzUf+N1oufOBaORQGUgvRr2Kjr3+ii+J89XKBQEBYW6PN+b91AqJHUH\nEwAAIABJREFUnYULWZxu+iUIgiAIQu1SxgBoxwoLC9m5cyebN2/m8OHDGAwGLBYLTZs2ZdCgQb58\nlCB4rLLyyVtCNWSvWkfg228QsOhLACJWrsTv/HmuzpuHKdS+Ie+oXCChVKoAC3K5ggYNotHpLBiN\nZp+9h7NsdmKHXUEQBEGoG8rdAbBYLPz6669s2rSJHTt2UFBQgMViISoqigEDBjBw4EBuu+02X5RV\nEMqkUvPJK5VoZ3+I6da2BL32EpLBQNDhw9w0Zgxx8+djaNHS1mB3Vy6FQkZAQAA6ndan7yF22BUE\nQRCEuq3MHYC///6bjRs3snXrVlJTU7FYLISGhjJw4EAGDhxIp06dqt0260LdVWpTrwpWOHY8ppa3\nEPzEY8jT01DHxXHTmDFkff4V5gGDy1wuX7xHTdxht7rsOSAIgiAItYFXHYDk5GQ2b97Mpk2bOHfu\nHBaLBT8/P/r168egQYPo1q0bSqWyosoqCDWK4d7OZO3YR+jjj6D4f6eRa7WEP/EY2jdnUjD1eVss\nTr4hn2d3P8ljbR6nZ5MHK7xcNW2HXUeblxkMejSayGpbZkEQBEGozjzuAIwfP55jx45hNpvx9/en\nd+/e9O3bl549exIQEFCRZRSEKlPekWdz4yZkbtlByHNPo978A5LFQtCst1H8eYbcjz8jR6Zn1JaH\n+C35OHuv7mbjsB+5PfLOSnuf4ODwat+Irsg0roIgCIJQF3ncATh8+DCSJNGwYUPuvPNOlEolhw4d\n4tChQx5dL0kSs2fPLnNBBaGy+Wrk2aBSEDfvQ8KaNyHi008B8NuwFvnF81iWriQ6sGjTG60hjzFb\nR7A1didNQ5qVu+xabTYmkxGz2YQkyZAkGSaT0S4FaE0YSXe2OFksWhYEQRCEsvEqBMhisXDt2jWu\nXbvm9YNEB0CoaXwx8ly8E5E0aRLam26i0euvIy8oQPnHCer16clXS5YwLD+ZY0lHSMlP5qHvB7Ky\n10oaBjdCrY72utyOOi7gOMdyTRhJF4uWBUEQBMG3PO4ALF++vCLLIQjVji9Gnkt2InJ79eLiihU0\nnTYNVXw88pRkoh8axqoP3qWfJoPzWee4pr3KuD2Ps6TbEozGohF6udzzbcAddVxc8dVIekUt1K2J\ni5YFQRAEoTrzuAPQsWPHiiyHIFSIwkLw8yvbtb4YeXbUuNa1asWFVato8uKLBB4/jkyv5+YXX+OH\nSaPpf0shV7VXuZJ3hUkHJvF1969RKFSEhkbarnfX0Pa2Qe+LkfSKXKhb0xYtC4IgCEJ159FOwM8+\n+yzr16/36YPXrVvHs88+69N7CkJJzz3nx1NPla0HEBgYWqpx7O3Is7PGtSksjEtffUX6qFG2Y20X\nruann+rTwK8o7CfflI/WoC3RqC5qaOt0BRgMenS6ArKyUjEYdG6f6ax8vhhJdxUu5QvW9Kfh4TFo\nNFGi8S8IgiAI5eBRB2DXrl2cPXvWpw8+e/Ysu3fv9uk9BaG4tDSJH39UcMcd9g1To9Gz660jz2q1\nP0qlCrXa3+GIdlGjPIWMjESyslLsGuMuG9dKJYlvvUXCW29hURRNxrXZfZxdyyU6BrRhabelNA5q\nbNegd9bQzsxMtj3bUcflBgmlUu3yfcpCLNQVBEEQhJrD4xCgvLw8EhISfPbgvLw8n91LEBxJSpK4\n7TYzI0fat/g//1zFzp1yNm0qQOamC+xu4y13oS9KpZqQkHrk5KQ7vUfGqFEU3nQTTV58EUVWFrf+\nmciv/84k/u3f0Q5rQlDQjU6Eswa1xWKxzQpoNJG2kJniWYAUCmWFhc6IhbqCIAiCUHN43AHYsGED\nGzZsqMiyCIJPtWtnZtu2fLtjZjOsXKmkUyeTXePfYin6X283r/YkU5C/fxAKhbLYuRIGgx6w2K4p\n7HQv6dv3EDZ5AqqTfyArLKTx669jiIsj7+33sXZh3DWoiz+7MjL7FE83WpJYqCsIgiAI1ZNHHYAG\nDRpUdDkEoVKkpkqEh1t47DGD3fHdu+W8956a77/PJzz8xvGyLrgtebzkTIKj+8oi1WRv3kHQG9Px\nX7ms6LovviD4txNkL1qGOTrGYUYcd892prxZexynGwW5XFGhsw2CIAiCIJSPRx2APXv2VHQ5BKFS\n1K9vYfv2/FLHly9XIpNBWNiNY55ktilr6IvT0CI/P/I+mo+xw90EvfYSkl6P4uhhwnp1JWfRMriv\niy28R68vxGKxlLqFJ2E3vsja4yzdqEKhrNb7CgiCIAhCXefRImBBqM2MRsjOlhg71mAXAnTunJah\nQ5tz7pz9iH/xzDauMgW5WhzsTuFj48j9cSc0aVJ0z9QUQmMHYfl4DrvOb+O1o68TFBrucZaikmXJ\nyckod9YesfBXEARBEGomr3YCFoTaSKGAjRsLKDmYvnZtEAkJSho2tA8XKt7ALZmjHiQsFgs5OekY\njfbXuRphdxSOo+hwF/z2G7rhD6P+eT+SycSJ7+bwpFJGocyMyWJkfo8vKCzIcxnG4yxUxxFvGu9i\n4a8gCIIg1ExiBkAQriu5APjKFRUDB2YTEGC2HTMY4NFHG7N//41GrjWcJzg4HJPJiNGoL9X4B+cj\n7M5y++t0hRARwdWvFpI6cWJRGQGzuag8Gy98z/SDLxISGuEyP743OwN703j3xT4JgiAIgiBUPjED\nIAhOfPmljrS0VLtjBw5o+O03fyIjtaXO96ShXfJza2iOtVFf/LycnEz0ei06o57kadPIb9eOXm+9\nxfrv8nhoFBjlsOafb1HL/fiw+8dITlIYedP496bxLnboFQRBEISaScwACIITSqWaiAj7jcDOnw/n\nrrtMtGlj32CfNs2PjRsD3N6z+Ij5jdAcs8Nz9fpCcnJybAt9c3v14sKqVfQ2t2D1OpBfv2z5n18z\n48CrDhcEl3xmyfdzt8mZO7Vlh97yrNcQBEEQhJqmVs8AxMfHs2TJEg4dOkRiYiJyuZyWLVsyZMgQ\nRo8ejaxYIvhr167x2Wef8csvv5CRkUFYWBj3338/zz77LA0bNqzCtxCqUslsPTNmmCgstM8idPGi\nxKpVSjp0cN2flsnkqNUB10f8Tdc36XLc+HdG36wZF7/5ht4zZ7L8+208FgsWCb46swC10cJbD/yn\n1EyAo9ShMpmc4OCwGttg9yVfZEQSBEEQhJqk1nYA/vnnHx5//HFMJhOPPPIILVu2JDMzk3Xr1vHu\nu+9y6tQpPvjgAwCuXr3KyJEjMRgMjB8/nubNm3P58mWWLFnCgQMHWLt2LTExMVX8RkJ14edn/9+/\n/qogPNzMQw/J0enktobk4sURqNUWxo3LRqFQolYHkJeXVa4sOZIkoQyrh3bhMoYsWcyi79/gX0OK\nRv791nyLMvhhjPd0srtGhOq45slmbjVNyUXlwcEaILCqiyUIgiBUE5LFWdxAOSUmJpKamspNN91E\nUFBQRTzCpTFjxnDixAm++eYbOnToYDuel5dH//79SUtLY8eOHTRu3JgpU6awd+9evv76a+677z7b\nub/88gsTJkygX79+/Pe///Xq+ZmZWoxG70Z36xKFQkZYWGCtqafcXAgOvtHwKigw0737TYwerePd\nd4sal1lZKeh0BR7dTy5XONxdtyhU50ajVPnrIb79eCSnA3P531ZAoUD75kwKnn4Wu62Oa7Hyfpcy\nMhKv78xsT6lUER5e8zr+jmY05HI5TZs2Raez1Iqft4pS234vVQRRR54R9eSeqCPPWOvJ18rVQti7\ndy+xsbFcu3bNdkyr1TJx4kR69uzJqFGj6Ny5M4sXLy53Qb01YMAApk+fbtf4BwgKCrIdi4+PJyMj\ng/3799OyZUu7xj9A586dadmyJbt27SI72/P86ELdExxc9L/WkKGLFxuSmyvj8cdv/FIzm03s2hXC\n/PlRpVKOlmQymZAk+x9PR4t0Dfd1YdSnx/lv+n1IgGQ0EvTOW4SMHYWUke6LV/OZ6hpnX9vSmTqa\n0TCZTKSlpVVRiQRBEITqpswdgN9//52pU6fyzz//kJWVZTs+a9YsDh48iJ+fH23btkWSJObNm8f+\n/ft9UmBPPfbYY0yYMKHUcYvFwuXLl1EoFNx8882cPn0ak8lE+/btHd6nffv2mEwmTp8+XdFFFmqR\nLl1MnDqlpUWLGy19mUzOsmX1OHUqoFTK0dIsKBRKQkJCUKnULhfpmqNjyNmwFe3zL2O5fmP1zu2E\n9bwfxZHDHpXX08Z5WRvxzlKdVodOQG1LZ+osxMxoLD2jJAiCINRNZe4ALF26FEmS+Pbbb2nXrh0A\nqampbNq0CT8/P9asWcO6devYuHEjfn5+rFq1ymeF9pZWqyUjI4Njx47x1FNPceHCBV577TUiIyO5\nevUqAA0aNHB4rfV4XFxcpZVXqB0iI+2H+bOzwzhzJoCHH86wO/7PP2o++qg+Wq39j6MkQZMmTYiM\nbOA+w45CQf4b/yZ79QbMEREAyBPi0Qzrj/+nH4OLxcaeNs7L04h3FWdf1axrJMqbEam6cDZzoVDU\n2iVfgiAIgpfK3AE4c+YM9957L3fccYft2K5duzCZTPTp04dbbrkFgGbNmtGlS5cqHUF/9NFH6dy5\nM2PHjiUhIYFFixbx6KOPAkWdA0mS8Pf3d3itv78/FouFvLy8yiyyUAs1bark6NEM+vUz2GXqWbs2\nnC1bNKjV9o30soSgGB7oReaeQ+g73w+AZDKhmvM2uvFDkZyEgHjaOC9PI97ZqHR5FkT7krN0ptU1\nbMkVRzMacrmciOsdQ0EQBEEo85BQamoqPXr0sDv2yy+/IEkSDz74oN3xqKioKo2hf//998nOzubq\n1ats2rSJf/3rX0yePJlp06Y53TzJqqxrpOXyurEAs6ys9VMb6kmnKyQv70bGlaCgUNRqP4fnNmvm\nB0STmpqAXq/DYIAdO0J5+OEMig/QFhQo+eKLBrz1FgQGellHjRqi/WELpv/MQfnRXB6LhT+i97N9\naCci/rsS431d7E53tNjYelyhuPFsi8XxLILFYrY7zxG5XOFwoa1crnB7rTsV9V3S6QrJzk7FZLrR\nSTEa9YSFRTn99/Xm3p5+Z7ylUPgjk0XZ3T80NIyAgACMRs8WoddVten3UkURdeQZUU/uiTryTEXV\nT5k7ACqVyq5Rr9fr+fXXX1EqlXTu3Nnu3NzcXAIDqy4FXdu2bW3/f+TIkUydOpUFCxbQrl07AgMD\nsVgs5OfnO7zWOkMQbF3l6aGQEMczCoK9ml5P+fn5JCen2sVXG416mjRpQkCA843BcnPV6PU6lEr4\n/vtzdgl7FAoFhw83Z8ECFa+/Xo46+vADXm91hbXxqwHoPiiVneP70er5WfDaa7YsQcnJzjq5FrvM\nA9Yyl+Tnp3aboUCtjiYuLs6unhQKBQ0aRLusJ2/4+rsUF5du1/iHosW0er2W6Oh6Zb5vWb8z3gkE\nSpexpv+8VRZRT+6JOvKMqCf3RB1VjTJ3AFq0aMGhQ4fIyspCo9GwcuVK8vLy6NGjh11j32QycfTo\n0WqTR1+SJEaMGMGuXbvYv38/ffr0ASAhIcHh+dYMR82bN/fqOTk5BZhMIq2VM3K5jJAQ/xpfT+np\nyaUWVxqNRhISkqhXr77T61SqQCAHgHr17BuZMpmcFSvk9OljolEjua2OCgsL+fBDif79c2je3OzR\nqPGYPm+zbt0Rzude4moodB1vYfv8N2m3aw/aBQuxRLrOc5+ZqbUrs1yutWsUy+VyVKpAu/Oc0Wgi\nS41663QWdDr317pSUd+lwkLH4T6FhTqP3teZsn5nyqO2/LxVNFFP7ok68oyoJ/dEHXnGWk++VuYO\nwJAhQ3jvvffo27cvUVFRXLhwAUmSmDhxou2clJQU5s6dS0pKCiNGjPBJgT2RmJjImDFjaNq0KUuX\nLi31uXXmwmKxcPvtt6NUKjl27JjDex0/fhy1Ws1tt93mVRlMJrPIa+uBml5PrsJnXL2XXK5CoVBh\nNJYOi5EkGStW5KPVyoEATCYzBQUF7N+fy8cfN6dVqxxiYvLR63VuF6tG+zdk4/BdjNo8jDPpp0kN\nhB7jYeu3u7mvW2dyFyxG3raVwwwxcrnS7h3kchWhoaU3FJPLVR79G1qvL86X//a+/i6VTMNa/Hh5\nnlPW74wv1PSft8oi6sk9UUeeEfXknqijqlHmwKJHHnmE2NhYsrOzOXfuHJIk8eqrr3L33Xfbztmz\nZw9bt26lRYsWjB8/3hfl9UhMTAwymYxjx47x22+/lfp8w4YNSJLEPffcQ0hICP369ePy5cvs2bPH\n7ryffvqJq1evMmTIkCoNYRKqr7LkkLcuLAXHoTdms5ngYB3Nm9/4XKvNZv36UBo00HPffXnXzyta\ngLt6tYI//3T+oxwZEMn3w7bSMfpeAHL8oM9Y2BmcROjwwdT/ahGyUkWRMJvNpRa/OlssW/y9atKC\nWVcqKj1obdt3QBAEQah5yr0TcHJyMgkJCTRu3LhUlokLFy6wefNmxo8fj0ajKVdBvXXw4EGeeeYZ\nZDIZo0aNonXr1uTk5PDjjz9y8uRJ7rrrLpYvX45MJiM1NZWRI0eSlZXF+PHjufnmmzl37hzLli2j\nfv36rFmzxuvyi53tXKstOwA62nVVJpM7HZl3dL4jMpmc8PAooqPrkZmpJSUlnvR0I1evqmjbttB2\nnlbrR/fuN/PKK3qmTi09m1Cc1qDliZ8eZd/Voo5uwxw4/yn4GUHXpSsJc2ajjyrapMxkMtot+nX1\nTmWpB1+qyO+SdWfn4jMe5X2fqqir2vLzVtFEPbkn6sgzop7cE3XkmYraCbjcHYDq7Pz58yxatIgj\nR46QlpaGQqGgefPm9O/fn3HjxqFSqWznpqam8tlnn7F//37S09OJjIykZ8+eTJkyhfDwcK+fLb7Q\nrtWmH3xvGolZWSnodJ5lYvHzC6BFi5tISkonIyMZs4Nc/qtWRfHhh5Hs23eRyEhsz96zR05YmIX2\n7e2v0Zl0TNk1if1X97AtdyT3zf0a6fp9zRoNuf83n5Su9zksY1F+fMdrBpy9l6trvOWsnmvid6ki\nOhau1MQ6qgqintwTdeQZUU/uiTryTJV3AH744YdSx4YNG+bzAtUW4gvtWk3/wS9rAy4jI9FhOkxH\nVCo1jRo15MqVK6Wy0UBRLHpursSpU/507lwUFlSU8jGS7t3DueMOEwsWFJYqq59/EFfzr9Ey7BaU\nvxwkeMok5AnxtvtmDR9OwiuvYC6RkUapVBEe7ngxv7P3cnWNN1yNmvv7+9fo71JlqOk/b5VF1JN7\noo48I+rJPVFHnqmoDoDHi4Bfe+01W858i8WCJEmiAyDUSY4aowaD3qMQDm/ivGUyOWlpaQ4b/zKZ\nDJlMQVCQ3tb4h6J1Afv26bhwQca8eYV2Zf3nHzUFBdC+fQaNghuQlZWCufXNpG/cRIN33sF/yyYA\nNOvX43/sGNc++ICCYovfXZW9rHHtnnakXG1C5mwTP0EQBEEQHPO4A/DMM8+43TRLEOoCV41Rd+Eu\ngYGhGAz6EtdLSJJUKuY+KCiU/HzHG+jJ5c5/dNu0yeeLLwro3NlEdvaNsn75ZRSXLqnZsOE8OTnp\ntvMNfioufTCHmJ69CZ3xBjJtHuq4OG4aO5aUKVNI/de/kClVqNUBRZ0GB411R+/lbsGsNx2p6r6T\nsCAIgiDUJB53AKZOnVqR5RCEGqM8jdGiLDqlU2kCpY6p1X7o9Y7zzVssRTn4HQkKkjF8uNGuTGlp\ncvbuDeHllxMp3o9PS5Nz+bKau+7KJ23QAMxduhEyZSLmP46jNpmoP38+Ib8eJuOTz8ku8Y7FG+vO\n3svVjIi7jlTx2QFnqTNF5hxBEARB8F6Z9wEAiI+P5+rVq2i1WnQ6Hf7+/gQFBdGsWTMiIyPd30AQ\naqDypnG0ptIszlnKzIiICHJzcym5VMdkMhIQEOx21N1apqAgM++8E0/37rl291m/PpzFiyPZs+dv\nVCoT5uY3sXPhLCb/MIJvl+fR7bIF/+PHiO7bE/OMGWQPGGC7tuSsh6P3csVVR8qTbEm+SMlZHpW9\nkFcQBEEQfMXrDsCff/7JsmXL2Lt3L7m5uU7Pi4iIoG/fvowbN47GjRuXq5CCUJ2UJdzFFWehMDJZ\nFGFh9VAqVej19h0Ei8WMTpfvdtTdWlY/PxNDhmTZ3cNshg0bwujXL5ugIDMymZy4nCuM2zmWNFku\nDz6h5Kt9IYzbm448L4/Gr75K8IEDJLzxBubg4Ov3KHsIjquOlKPZgaLPZMjliipvcJdnHYggCIIg\nVDWvOgD/+9//+Pzzz22LEoOCgoiOjiYgIACVSoVerycvL4+EhARSU1NZuXIla9euZcaMGTz88MMV\n8gKCUNnKEu7iirNQmLy8bKCe0+vMZpPbUXdHZVWrA8jLy8JoNDFtWjItWhTa3kEyq6hvaUcae9Fb\nDIzvns6frW9lzoK/kFlAs2ULASdOcG3OHPLbty9XCI6rjlRubobDa+RyhS2rkHXjMYvFTG6uGpUq\nELlc5fA6XyvPOhChenA0g6NQiAXlgiDUDR53AHbs2MGnn35KeHg4Tz75JD179nQ5sn/u3Dl++ukn\nli5dyowZM2jWrJndLsGCUJN5G+7iirs1BRURcqRQKNFqsxk6tOB646do5DrAAOE/rUPT6FWyWiwC\n4D/1/+LvWe1Z/sFZQnO1qOLjaT5+PGmTn8Tw2gxPX9NJuZx1pJwlHCg6XnIEXq/XIZdrCQ2tnBF4\nsSi5ZnM16wZi13dBEGo/jzsAK1asIDg4mHXr1tGgQQO357ds2ZKWLVvSr18/Ro4cycKFC0UHQBAc\ncNfADwoKRa/X+SzkCJx3YLTabGKHKhmlfIO4BuF8eOpDLFjYZDhB1Kg7+PWQnA5//Y5kNhO54AsM\nx46R+/lXmG5q4dNyONuexHrc0Qi8yVR5I/Dl7ZQJVauss26CIAi1hczTE//66y+6d+/uUeO/uJYt\nW9KjRw/++OMPrwsnCHVBYGBoqYajNQ0ogFrth0YTiVrtj1KpQq32JyhIg1abTUZGIllZKU4XEXvL\nbDbRu3cO3btrGdtyLPM7z8dfXhQWoW90kpXvPEjOK69juZ6BSPnbccJ6dMFv0YKiRQU+4izjsPV4\nVY/AO/s3q8pFycIN1vAwZz8fVf39EQRBqGoedwCMRiMBJXYG9VRwcDB6vWe7nwpCXWMNhSnewC/6\nb78S50QRHh5DYGAoeXlZ6HQFGAx6dLoCsrJSfdIJKNmo7R7TnRU9VhAmi6GNeShPtH6Ua+PGkrbx\nR4zNbgJAKiwg+I1XCB0+GNmVy+Uug6NylDxe1SPwzv7NxALgqmcN73H181HV3x9BEISq5nEHoFmz\nZhw9ehSzl6N8RqORI0eO0Lx5c68LJwh1RfEGvkYTVeb8+eXlaGS7laYVG/p/y7LYt5AkCbPZRNYt\nN/PN9CPM51nbeapDBwjvfh+6T77GoHccwlOecoCE2WwmIyMRk8mEJNn/+pLLK3cE3pt/M6HyePLz\n4W7WTRAEobbzuAMwcOBALl++zMsvv0xGhuMMHSUlJSUxdepU4uLieOihh8pcSEGoK4qHLqSnJ5Of\nn1/qHGdhCkajwWXYg6NnlDyv5Mi2dffvCL8I/OQ3ZiT0+kLU4fmcnvQuaWs2YGrcBAApX0uj958n\n6c7hyOKvlbkeSpZDoSgqi8Ggw2DQYzTqsVgsKJVqVCo1ISEhhIWJRrjgWXiPJ7NugiAItZlkcbba\nrgS9Xs/EiRM5evQoSqWSDh060KZNG+rXr09AQABKpRK9Xo9WqyUhIYEzZ85w+vRpTCYTvXr1Yv78\n+chkHvc3arzMTC1Go+9iomsbhUJGWFigqKdiHGUmUSgUaDSRdukts7JS0OkK3N5PJpOXCktx9AxH\n53nzLJlMTpjCH82sd/FfscR23Bwcgva9ORQ+8hhZ2RIBASBJZds8y1k51Gp/IiKia/13qbybjtWl\nnzdX3xV3C8TrUj2Vlagjz4h6ck/UkWes9eRrHncAoKgTsHTpUpYvX05aWlrRDRys1rPeslGjRkyY\nMIHRo0fXqcY/iA6AO+IHvzRnDRc/vwBCQ2/srO3JLrlWJRs93jaOPH2WXjJyzZjEzbt1RL/1DPUK\n4m2f6Xr34a2oL9l6ohFr157DYvGs81FcRkYiBkPpdURKpYqoqIa1+rvkbafNkbr081ae+qpL9VRW\noo48I+rJPVFHnqmoDoBXG4GpVComT57MpEmTOH36NH///TfXrl0jLy8PnU6Hn58fQUFBNGnShLZt\n29K6dWufF1gQaitPM5M4yp9vMhkxGg1ur3V0jqvjJZ9lNBpKpei0WCy8fuQ1dsXv5JV73uCFk4co\n/Peb+K3+BgD1rh28SXta9/gAi7mzLZWPXi9hsZhRKt2n7qzLizbFpmPe8fVGfYIgCLWRVx0AK0mS\nuP3227n99tt9XR5BqLO8aeSWzJ+flZXisBFf8lqLxfEoi7PjJZ/laAZhV8IudlzbDsAHR2dxNOkw\nn89dSMygIQS9+BzylGQ0ZPGvfU+RM+0B4v/9b0wREWzdGsrHH0ezc+clNBqnjwdc7xpc24mUld7z\n5UZ9giAItVGZOgBQtC/A33//zdWrV9Fqteh0Ovz9/QkMDKR58+a0bduWZs2a+bCoglC7OWrkKhQK\njzKTeNpAlsnkDjN5eTqS7ug5Dzbqw/S7XuP/fv8PZouZPXG76PXd/Szsu5SOB44Q9Pp0/DasBSBk\n714CTpwg4c03WbduCm3aFBASciM80GKBwkLw97d/bl0e1a3Lsx+CIAhCxfCqA2AymVixYgXLly8n\nMTHRdrx4SEDxNQEtW7Zk8uTJDBo0yAdFFYTarWQjVy5X0KBBNDqdxW18pKcNZLlc4XCmQC737FeB\ns+dMj3qDext24cmdE0grSCVBG8/QH/rz9n3vMfmLRegGDSVo+vPI09NQZGXRZPp0Po85xNnRMwgM\nbGK7/8mTMh5+OIAtW/Jp3drs4Nl1b1S3Ls9+CIIgCBXD40XABoOBp59+mkOHDmGxWIgg/pSsAAAg\nAElEQVSJieHWW28lOjqagIAAVCoVer2evLw84uPjOXPmDJmZmUiSxLBhw5gzZ05Fv0u1Iha1uCYW\n/7hXEXXkiwWlriRpE5m84wkOJ/5iO/Zqxzd56e5XkdLSCJw+Df+tm22fmTUa8t6ZjW70oyBJvPSS\nmt27Ffz2mxZ5sQFuoxEUTvoodeG7JLIAVQ5RT+6JOvKMqCf3RB15psoXAa9YsYKDBw9yzz338Oab\nb3q0wPfIkSN88MEH/PDDD9x9990MHz68XIUVBMExTxuI1hH8nJwMTKaimQBPR/89ER0Yw4ahW5hz\n5D3mn/iYSP8oHrt1HACWiAjyvl6JYeMGgl59EVlmJrKsLEKmTUG/bg25H/4XtboNEyYY7Br/OTnQ\nuXMgn3xSSK9edTPuva7OfgiCIAgVw+PcnBs3bqRhw4YsXrzY4+w+nTp1Yvny5URERLBmzZoyF1IQ\nBOeso/o6XQEGgx6droCsrFSnG4FB0QJSi8WCxWKxXe/qfG8oZApm3PcOKwesYWGfpdQPjL7xoSSh\nGzacjIPHKYwdYTusOrCf8B738XH0Bzz3tNbufmvWSKSnSzRsaL9xmecJjAVBEARBKM7jDsDly5fp\n0qULKpXK/cnFBAcH061bN86dO+d14QRBKOJq915naSJzcjLIyEgiJSWOlJQ40tMT7WYKSp6v1Wa7\nfI43ZQLo06w/nRve7/BaS2QkuQsWk71q3Y1dhAsLCZr1Npq+D6A4eQKA3NxMUlLy6N8/m7CwAnS6\nAjIzU0hLS6R3byULFhSi0xV6XpGCIAiCIHjeAVCpVOh0ZRshNBqNKJwF8ApCDedNo7ksdLpClyP8\nztJBGo16DAadbaTfaNSTkZGMyWR08h56j2cSyjLr4Ii+Vx8y9h8m/8kpWK5vFqg8cwpN3wdQvzGd\ngrQkJk5MY86ca7ZrLBYzx48rOH3aj+joPDIzU8jPz7/+mVePFwRBEIQ6yeMOQOvWrdm/fz9ZWVle\nPSAtLY19+/bRrl07rwsnCNWdrxrCjuh0hcTFxZGenux0xB68bfRanHYAzGaTxzMDubmZLsvkUUks\nFvbE7cISGIj2vQ/I2rYbY5ui3xOS2UzIoi9pGRtL0KFDpa69dk3FrbcW0KmTFpPJRFJSEunpyUyZ\nYmbmTIPPO2GCIAiCUJt43AEYM2YMWVlZjBkzht27d2MwON451KqwsJAtW7YwatQocnJyGD9+fHnL\nKgjVjqtwmvIwGHRkZqaQk5PjdJMus9mEwaBz2qB3xsPEXzYmk7FUJ8dZA9ubzak2nFvL6C2xPLJ1\nOIl5CRjb30Xmzv3kvTUTi7poAbMqPp5mTz1Fo9dfR56Zabt28OAs1qy5wPVJA/Lz80lM1LFpUzAB\nAe7XNFT0rE1Zlbdc1fW9BEEQhOrF47ic/v3789dff/HVV1/x7LPPolKpuPnmm6lfv75dGlCtVkt8\nfDyXLl3CZDIhk8mYPn063bt3r8j3EIQqUVG7tGq12ZhMru8hk8nRarNd7uLrC0UzA549w9PNqXL1\nObx+4GUA9sTtotuae5nVeQ59onuT8dgjqLvdT8SbrxN07BgAmi1bCDp4kMRXXiF70CCQJIptOQLA\nuXN+hISYGDw4y9YJ02iiWLBAyd9/y/j4Yx2S5DgVqsGgd5gKtbzpN73hTbm8vV6h8HdxpSAIglDX\neLwPgNUff/zBsmXL2L9/vy3u1pGQkBB69+7N+PHjueWWW8pd0JpG5LV1rbbk/83KSkGnKyh1XK32\nL1faxoyMRAwGvctzFAolJpPR6xF9b8hkciRJ8niWITw82uMG8p64nTy/91mStDc2FezdoDczOswg\nXB0OFgth339P9Lx5yHNzbefkdulCwltvYWjUqNQ9i+8XoFSq0Ghi6NQpkI4dTXz+edFiYU//zSp6\nz4SSyvtdcnV9RER0rfh5q2i15fdSRRJ15BlRT+6JOvJMle8DYHXnnXdy5513YrFYuHLlCteuXSMv\nLw+dToefnx9BQUE0adKExo0b+7ywglDdVNwurZLbMxzt6OsLSqUai8WMyVR6TYArcrnCZcO45Gh6\n15hu/DzqMK8fmM76c98BsCthF7+n/86/2/+bXg17kRkbS263bsR88AGh27cDEHzoEC2HDSP9qafI\nnjgZk1JpC3UpnmtAJpNz5YpEbi6MHXujroxGA7/8EsS6dWHMmnWNgICiDlTJd3UV3lUROfnLO5tU\nUbNRgiAIQu1T5tQ8kiTRrFkzmjVr5sPiCELNYt1Yy5dhIgaDzuHovyTJUCiUFR7XbbFYyjSzoFAo\nnX7mKjzliwcX0S3qfmYee5tMfSYZugxm/j6TjlEdCVYGY4yI4Oq8eWQNGkSDWbNQJicj0+mI/OQT\nwjZtJmfWHFI63I7ReGOWwvrvoNFYOHlSizV7sXXNxJo14Vy7psTf/8Y7mkxGDAad7d/OXYPa1+FB\nzsKnPA2rKu/1giAIQt1Rpg7A1atX2b17N//88w9Xr15Fq9XazQA0a9aMdu3a0bt3b8LDw31dZkGo\nVny9S2vRAuLSjW+LxYzR6DosyBFJknm1TqBoZsHbsCLJ5ayHu9H0vo37cbvmNt79/V32Ju5lRvsZ\nBCuD7c7P7dGDc3ffTdT//ke9b79FMplQXLpI+KOjCBkyhGsvvowuun6pxri6WJtcq81Gp5M4c8af\niRNT7dYRJCTIee45NXPmGGjWTOmyQV3eeH1HyjubVHGzUYIglFSZ64MEoSJ4tQYgOTmZd955h717\n9wKus4lIkoRcLic2Npbp06cTHBzs9NzaSMS0uSZi/24o+YfEaDR4ndmnJJlMhkwmRy5XoFYHkJub\nWaGLhSVJRlhYlMM/gEUZjZId/r5QKlUEB4eTkZEMFO1XcDztOPdE3uPyeeqzZ2k4Zw4Bx4/bjln8\n/cl/YTr5T0+1b/UXY11bYTCA2SyhVt8o0xdfRLJ0aQQHD16hUaNIl2sAijoSvl/7Ud5GhbPrxc+b\nZ0Q9uSfqyLP1QaKe3BN15JkqXwOQnp7OI488QkJCAvXq1eP+++/n1ltvJTo62i4LUF5eHvHx8Zw+\nfZqDBw/y3XffcerUKb799lsCAgJ8/gKCUJM5+kNSXiUboVlZKV42/iW8nQGwWMwOY+Ot7+dssMCa\nycj6PEmS3Db+AXS33EL8N6uov2svQe+8hSwlBamggMDZ76Je/Q15c+ZheKCXw+cBKJWUeseDB4Pp\n3z+bgADj9XPUBAZG8txzap54IoO2bY22BnVFxNv7YkTR17NRgiCUVtnrgwShInjcAfjiiy9ISEhg\n4sSJTJs2DaXSebyvlVarZc6cOaxbt46FCxcybdq0chVWEGobR39IysNRyIf39y9bViFHz3H1ftay\n5uZmeP0sE2YCgzToRoymoHdv/OfOInjpUiSzGcXFC2hGPURun76kvfEm6pa32hrSjsJkrJYtu4hW\nK0Mmu9Ho3rcvkE2b/Hn+eRkazY1OlC/j7Q0GHbm5maXWdngSUuSo0wCUOlYd04D6osMjwjCEqiAW\n3Au1gccbge3du5fbb7+dl19+2aPGP0BgYCCzZs2iVatWbNu2rcyFFITaytkfDIVCiZ9fADKZxz+i\nyGQyuwajdVMod+lEfcVR49fZ+0mSZCuru0azTCYnJKQearU/SqWK/SkHiN0Vy6GkQxgMOjJMhcS9\n8AIXvvsObfv2tuuCd2ynaf++yP4zi/TEKxQU5KHVZl8Pj5KVeq5CARoNdh2oH39U0KGDiXbt7GdQ\nPv00ht9+sw9rLEu8vXWGxNHCbncbyjnahTozM4WMjORSO1PrdIVelaui+WIH7YrchVsQXBEL7oXa\nwOPWRUpKCm3bti3TQ9q3b09CQkKZrhWE2srVLr5yuYJ69erTrFkz5HL7PyqSVPrHVpJkaDRFMfgG\ng46MjCQyMpIcxqlXhOKN3+K70Tp7P5XKz25U3tEfToVCeT2cKRJ//yA0mihMfgpmHv83F7MvMHLz\nMCZuH0dCXtHvlsJWrbi0bBnX3n8f4/XkA7KCAqI/+YTmQwdj2r4Fna4Ao9GA2Wx2GJZU8tgnnxSy\nZIl9HV66JPHZZwFkZ4fbOiVqtT9BQRq02myvduF1NwPk6jNH1xaFetm/g9lsIi+vfDtT+5ovdtCu\nqF24BcEdR7+zxIJ7oabxOAQoJCSElJSUMj0kNTWVkJCQMl0rCLXRjdj/0rH5xf+QBAQEEBYWRW5u\nli3MQa0OICcng+INPWvDtSLWFLgikylQKpW20AtPnm99h6ysFNs7BQVp0OnynYZyWEM94rMv0SSw\nCWkFaQBsi/uR/Qn7mHLrFMa0GINSpiRryBByevSg/uefE756NZLZjPryZZpPnkx2nz4kvfwyhpgY\nJ+siLOTkZCCXy6+/g4RKZSEj48a/y8aNwYSGWhg2DPz9o2zlW7jQQL16Cnr0KOow6HSFKJUqwOI0\nPMXdv5OrEUVv/o2rW2iCL0IoRBiGUFUqIv2zIFQ2j2cA7rrrLg4cOMDp06e9esDx48fZv38/nTp1\n8rpwglBbORv5tYbxAKSnJ3Px4kXy8rIJDAwlPDwGjSYKnS6f0nH6FrTabJ+vKXBHqVTaZh7A9XsV\nHynPy8uyC93Iy8uye8eSjX9rqEeMXzRLui1h1t2zCPerB0C+8f+zd97xbdTn43+f7jQsy3vFzh7O\nHmSTAAmkjJQMCGGEVUahBZLy7bd00JbxpS3QH5SWFlpSoIwyWgqBQEhCKGQAYWSSQTbZTjzlJcma\nd78/ZMmSpdPwtnPv18sv2zc/99zp9DzP5xkO/rDrD1z98dVsrdwKgJyezulf/pJv33gDx7hxwWNl\nfPghxfPmkf/UU+hUOpl7ve7g2DweF16vOyzE5M4761m92k5KSFh9dXUtTz6Zx5YtoZUalGBPB5er\nAau1lMrKkrDZgVgKfjyPYjLhBl0tNCFeCEXoLJLabIoWhqHRmQQS7qO9szQ0ugMJGwB33HEHsixz\n44038uijj7JlyxbsdnvUbWtqati4cSMPPPAAt9xyC3q9nrvuuqvNBq2h0d1RU9JF0T8pV1NTgdPp\nwOFw4HQ6wmKbY3k+O9r72bwbcazrCjVgkgndaG5U6AQdl/W/jJWzV3HD8JsQGrsmH6o7xD1f3oPT\n1xTv7hw+nMP//Ccnf/vbprAgl4v8Z5+leM4cMt95B3zJeZ0bGmoZMiTcAFu3LoWaGokrrghPaP78\ncwsrVzYp8T6fNyxWXT38yRA3ATjavv7wsPAu0v4ZlpaFJiSiiLeEWCEUicb2a2EYGhoaGi0nqT4A\n69ev51e/+hVWqxWhsYOO2WzGbDaj1+txu93Y7XacTv8XsKIoFBUV8dhjjzFp0qT2uYIuilbXNjZn\nev3fmppy1TryQMwa82r76nQ6RDF2p2BJ0jc2BlMQBFAUf0KuLPtQFDmsd4DL5cDtdsbtCJyd3Suo\nqMYem4ROJ+LzeSMMB/D3BMjOLoxYHqjdr3buz49u4MHND7CnZg+PTH6Eef3mRd1WV1tL/rPPkv36\n6+hCugY3DB9O6c9+hn3KlJjXGWuc1dXlbN+uMGpUeLLt9743EINB4fnnj0YcJ3A/W1PJJtEqQCkp\nKUl/3hKpdd4a1K471mcjWpnZtgzDONPfS4mgySgxNDnFR5NRYrRXH4CkDAAAm83GihUrWLduHXv3\n7qWioiJim8LCQkaOHMlFF13EpZdeisFgaLMBdxe0Bzo2Z/oHP5ZyVV9vjarwBhTPlsT5i6JERkYu\nEOpRFxrP0/QKaK7gqSljoYQqZg0NNurqqhIel9pxAgQ80NFyJQL7pKVlUmUt5cMTH3Jh0YVB50Qk\nOkDGcPw4BX/8Ixkffxy2tu6CCyi95x7c/fu3cJzh9+TIEQPz5w/l8cePM3t2XXD54cNGduxI4fLL\nHfTqFWnwJEOiCnBLPm/JKOJtiZrBp2YgtiVn+nspETQZJYYmp/hoMkqMLmMANCfQ/MvtdmM0GklN\nTT0jFf7maA90bLQPfvIe0FAvutFoxmarVlWMm2M0ppCampGQ4RCq4CVibIQaJoGOvskSzbOc6Lnz\n83tjNAqcOlWKz+dtnMXQ43TaGmc6BCyWLCRJH3a81M2b6fX446Ts3Rs8niJJVC1aRPkddyBnRIaS\nxEpYDr2figJer5dt20yMHt2AwdAkk9/9rpCPP05nw4bj5OUlpkirefoT9dC35PPWWYp4ZxkeoL2X\nEkGTUWJocoqPJqPE6PROwGoYDAayG2NrNTQ0Eketa6tasypZlpFlv0Lm8bgb470Te2kGYuwTmTUI\n3Sa02oVaOFAgDju0o288RFFCkvQxPdeJjNfr9VBVVUZRUS9ycgrwemU8HhfV1U3djxVFob6+mszM\nPLbUbWdq9mRQFLznzqD6wkupefVFcv/0R/QVFQheL7mvvkrmihWU33kn1quvBr0evd4QYnjVhI0r\ntGFX6P30eFxMnFgWJrOGBoGVKzO59toqRFGmocGGy+Wgrk5m9eoMFi3SkZERLodohpDH40anE6M8\nI63rRhpqaKiVcG1pkm2isxXRnv/uGtuvNSrT0NDoqiTeZagV/PWvf+XCCy/siFNpaHR7Akq3yeTP\nr4nWDCwQs58o0ZTFWNtGjiefrKyCqEmXgZKebnfizaYkSR9RQaN5wqmaAhqKoig4nQ6OHz8ebHZV\nX18dIRtFkXl77xvctOZ6rvzvlXxt201GRh56kxnblVdx8P33Kf/hD5FNJv/4amsp+v3vGbJwIZkb\nPyc7q1fSCcx6vRGDwRS2zGRSWLr0KNdcY8XjcVFXV4XL1cB775l58ME8jh2L7AisVu/e642eF9HS\nRPDmybfxStS25thqib0BhTnQrM2fj5LSZnkHHYnWqExDQ6Mr0yEGQG1tLSUlJR1xKg2NHoFebyQn\np4BBgwYhSdE7b+t0YsJVYNSqzUQ7ppqCFzBMmje/CpT0TDSaMFrTsKqqU8HGZQFlKVqisBperzfY\n7CqaYuz2uXlk28MA7K7cyaL3F7LwvXlsK9viH4sljfIlSzi4YgU1c+cG9zMdOUKfO35IxlWXI+75\nJuna883lLggwblwDBQXhxs1bb2Vz7rn1FBS4gsaEosCbb0rU1iYXUqXTiRHGVCKdgBMp4dpSRTyR\npl2hCnNos7bu6jXXGpVpaGh0ZTrEANDQ0Gg5aoq7KEoRCnlWVj7Z2QVhywJKWyzPrSAICSl4zWtf\nR/OIq9Hcm9tc4UsUNXnEGodBNPDwpIcZkzs2uOyzkk+YvWwWP/z4Nsp8/sZinl69OPnoo3z7+uvY\nx49v2v+TdWRdMJ3Ce+9FH8WZoShELZcZajTF4oEHSliypDzsOrZt07F4cQo7dphj7htK04xMuOe5\nuroch0rfgwCJlHBtqSKeiOHU0xRmrVGZhoZGV0YzADQ0ujgWi3q982jNaNQa1Oj1RtLTcyKOr9OJ\nZGUVtEjBi6fMCIKAXm8kO7sXubm9I8J94u8fPfwpGgEZiWL0GZMp+VN4/fzX+dusZxmQPjC4/P3D\n73LROxew9tTa4LKGMWM48vLLlPzpSXz9/FWBBEUhffk7FM+dS+GjjyJWVga3D20eFhrqEQhpiWfg\njBrlZMQIZ9h1vPKKnj59ZC6+2BB2/zdutFBbGzqrIIQZe9GMMp/PR2XIeKPRno21Ejl2T1OYtUZl\nGhoaXZmEk4BHjBjRnuNoc2w2G8899xyrV6/m1KlTGAwGhg4dypVXXsmVV14Zsf3Jkyd5+umn+fzz\nz7FarWRlZXHuueeyZMkSevfu3QlXoKHhx2g0tVnb+ZQUC5Kkb7PExFjKTGh/gFCSqRaUaJ6DTqdD\nln1UVZ2KnTugKFzYaxaXXbuQV/e+zB82/56KhnLS9GlMzpscvq0gYPvud7EuvI6U5/+O+S9PoKup\nQef1kvP662S+8w5VN95I5c03I6elhe0qyz7q6qwtas4WmKm5/XYP8+d7MZmMiGIeNTXlVFcL3H13\nP+66q5zvf9+v0BsMprCkX7Xzeb2xcyraM/k2kWP3NIW5JyUza2ho9DySqgLUmoqh6rW5256ysjIW\nLVpERUUFCxYsYOLEidTV1fHGG29w3333cfjwYX7+858Htz9x4gRXX301Ho+Hm2++mYEDB3L06FFe\nfPFFPv30U958800KC9u3/rSGRizUKga19litrVKSmpqh2idArRpNXZ2VlpQKDSW0ihAIyLIXtzux\n5EpZ9qEX9dwy+jauGraI53Y8g0nRk6ZPi9hWpxPBZKJhyf/gvPEmdE88SubLL6FraEBsaPA3Fnvj\nDSpuuw3rokUopqakX5/Pk/Q7M7T/QmGhj969RTwe/z2xWLJ45RUFWRa47LLq4D5Go5mvv9bRp49C\nbq6iqjBLUuzXfWjFp7auWpPIsXuawtye8tTQ0NBoLQn3AfjrX//KU089xZIlS1iyZElSJ3n44Yd5\n9dVX2RtSb7s9eeCBB3jzzTe57777uP7664PL6+vrmT17NrW1tXzyySfB8qV33XUX69at44UXXmDa\ntGnB7T///HNuvfVWZs+ezZNPPpnUGLS6trHR6v/GJ56MWqu8t1Wn16qqU3E7+4aOVa2rbzKE1oSv\nra3A6Ywd3662bwC1ngN6vZG0tKygPKzW0yinT5H37LNkvflmWEdhT34+5XfeSfXll4MkIQhC0gaA\nJBkaZRnZnM1ur2XfPh9ff21mwYKa4HqDIYU5cwYwbpzMM884o16LKIr0798fl0vp0p+3hgYbNlt1\nWP+GlBRLh51fey/FR5NRYmhyio8mo8Rorz4ACecA3HXXXUyfPp2//e1vbNiwIamTdKT3HyA/P5+L\nL76YhQsXhi1PS0tjwoQJ+Hw+Dhw4AIDVamXDhg0UFxeHKf8A06dPp7i4mI8++oja2u6ZiKbRM2mL\nEoOtSboMrTKjFnLi83mxWk9TVXWa6ury4FhbS8DYCYzB6Yzdqbg5RmNkUm3AWytJ4U0MA3LeVfY1\nKw+vAEHAm5vL6V/9ioMrVlA9bx5K4/tNX15O74ceonjBAjI//BBJl3ybFX8Fo3CjIbSHw8CB7jDl\nH+CLL3QcOiRyww2esGspK0ujpiYlmBxuNodfd/NKQYFnR215e+PxuBp7LPir/8iyjM1Wo5XN1NDQ\n0GgHEjYABEHgD3/4A7m5ufzsZz/jxIkT7TmuVrFkyRL+/Oc/YzKZItbV19cDfmMAYNeuXfh8PsaH\nVPwIZfz48fh8Pnbt2tV+A9bQSJK2qJjS0qTLROrF+48j4/G48XrdSfUsiIVOpyMzMw8gOIZkw4lc\nruizBXq9EVGMDJ+RZR8PfvYrbvngei5bPZ+VJ1bikT14+vSh5JFHOPTWW9gvvCi4vfHoUfrccw8D\nr76KtM+/8JcIaiWBUKdoFBW5+Z//KWfy5Kbr0uuN/OUvRdx55wAyM/MxGsPfhWoGZEODrdNq1/e0\nKkAaGhoaXZmkqgBlZ2fz9NNPs3DhQrZu3ZrwfoqitCp/oK3Yv38/mzdvpri4mFGjRgEEDZmioqKo\n+wSWHz9+vGMGqaGRAG1RMaWlSZfx6sVHa1zWVoiihF5vTLircTRi7RctgXi3dTeflX0GwP6afdy7\n6V7mrpnLv779Fy7ZhXHSNGpffp2jr/8b+6RJwf0Mu3fR/4c/YNBtt5G2a3ejgeEPDRIEAUkyqPZ4\naI5OJ6q+QwsLPdx2WzkOh19R9nhcHDhQzqpVInPmlDf2V/BXGKquhtJSQVXZttmqO00J72lVgDqC\nzpqt0dDQ6P4k/U09duxYfvGLX3D55ZcnvM+vf/1r9u3bl+yp2pTTp0+zePFiRFHk//7v/4LL7XY7\ngiCQkhK9TndKSgqKomCz2TpopBoa8WmLiinRmoMlknQZr168KCYW+hIwGJIhMN7WKIVqMvJ4XFFz\nGUZljeKv0//KWTlnBZedcpzika8f4eJVF/OHTY9yrOwgtjGjOPLCCxxdupSGkKpp5k2b6H/dtfS+\n5SaMm74KOkT83ZzjO0YC9yReJKU/v8JfYUmW3dxySyXz5vlDaKqqynA4HLzwgp5zzkmloSH6jIza\neALybk+Fs6dVAWpvtE7DGhoarSH5INVuyI4dO1i8eDF1dXX88Y9/ZMKECcF18fITWjpzIYpai4VY\nBOSjyUmdWDJKS8vE63Xj84UneqalZSJJiclUklLQ6fKx2ZoSiS2WjIhwkchxSVFj+f2VeXSq60MR\nBF1jwzIT5eWnElJaQq8vkXPEO0ZzamvrVMYqMKNwBjMKZ7C1civ/2P8PPi39FACry8oze57hsv6X\n+asICQK2c87BNm0a6R9+SK+//hXD0aMAWL74AssXX2CbPJmKO+7APnkygopyG6jtH3pP6utjv6tE\nUcLhqAMUsrJ83H13eXCdosiUl1fyyit9mDfPi9ks4mxsDuz1QkWFnsJCj2riss/nxem0YbPVhD1z\nXq+brKzIEKOW0BbPdGtpzXvJ5XIm/VlqDbW1dVFnaxyOOnJyCtrtvNq7OzE0OcVHk1FitJd8kjYA\namtr2bhxI5deemnEurKyMl566SV27tyJ1Wqld+/ezJ07N6nZgrbmvffe4/7778dsNvPCCy8wKWSK\nHiA1NRVFUVS7ZAZmCNLSIksExiI9PXbnTw0/mpziE11GqaSnp1BZWYnX60WSJHJzcyMSPeOTCkQ2\nB4uF0diL48ePh9WVlySJoqJemM3mqOubk5Jiolcv/3kVJYdTp05FbCNJEgaDIfh34PocDgfJRBkF\njhNPRtXVUReHMTF3IhNzJ7K/Zj//OPAP1pxYw/z+8ylIaaZw6XTUzZ6Nd948Bm3ciPuhhzA0hhFa\nNm/Gsnkz9gkTqLjzTmxTp9Lcva8oCn36+PuPVFZWUl9vjWskFRX1orS0VHW9w+Hjppt0zJ+vo6io\n6R5t3JjGj37Uj1WrDjNlShbl5eUR906WZerqrBHGgc/no7q6nNTU1BY+f6Ek90w7HI42eP6jk+x7\nyeFwUFZWESY3r9dNv3792mxMzVF7XnU62qViSHO0d3diaHKKjyajziEpA+Dtt9Aph0QAACAASURB\nVN/mN7/5DR6PhwsuuCAsbObw4cN873vfo6qqKvglceTIETZu3Minn37KE0880bYjT4B//OMfPP74\n4wwbNoy//e1vURt69e/v7/IZTQEBf4MwgIEDB0Zdr0ZdXQM+n1bWSg1R1JGenqLJKQaJyCgtrUl5\nd7kUXC57h4wtMzMPm60WrzeQBCxw6lRp0OsZWO9yNUT1KHu9Pqqr/WO1Wmsi1vu38aIoStDD7HIp\n1NVVUV1dHuYlBjCbzUiSnrq68Fh1UfSX0Ax4YmPJSCWXOSrDMofx2JTH+NHIH6HXqcfxy6Ke0ksv\no3LCBDJXrSLv2WcxHjsGQOq2baTefjuOceMov+MObOecE2YInDx5Cp/PE3Gt0RAEAZdLiXkNFovI\nT3/qf5ZcrqZ7uGxZDsOHuxgwwIPVWoPRaMbrraOyUiQ3t+ncarOhPp+Puro67HZ7m8wGJPJMu1zO\niOegLc7f0vdSVVVZhNHk9Xo5daq03bzxavdalgl+ttoD7d2dGJqc4qPJKDECcmprEjYANm3axK9+\n9StEUWT+/Pm43e4wA+C+++6jsrKSyZMn87vf/Y6CggJ27drF/fffz6pVqzj33HNZsGBBm1+AGq+9\n9hqPP/4406dP56mnniI1NbpHZOzYsej1ejZv3hx1/ZYtWzAajYwZMyap8/t8slbXNgE0OcWnK8pI\nFA2YzemN9eZlZFnG6/XgdruCfQQyMvzda6M1ChMEXfCaYnXu9fl81NfXIIr+uv319TVRFWKXyxV1\nFs9oTEUUDQnJz2xOx+12JZVf0NfSN+Z6j8fN7hPbOVZ/jCnz5lEzZw4ZH3xA3t//junIEf95d+xg\nwJ134hg9moo77qB+xgwQBNxuZ8Lj8PcPkDGb0xvLooYr64KgIzc3F5er6VkSRQMpKemMG+fgu991\n4fV6g0psSYmeOXOG8pe/HGPGjMTyn5rfq/Yk2nPQludP9jOn9gz7fN52++xGe151OhGzOT3mOVvb\nPyRAV3wvdUU0OcVHk1HnkPBE+jPPPINOp2Pp0qU8+uijZGQ0JQp+8803bNu2jYyMDJ555hn69++P\nyWRi8uTJPPXUUwiCwFtvvdUuFxCNbdu28cgjjzBx4kSWLl2qqvwDpKenM3v2bI4ePcratWvD1n3w\nwQecOHGC+fPnxzyGhsaZSCJlGxNJNI6X5Bl6jmhJuoCql9zhqEs4KTJQP99oTEGvNzT+VleMEulv\n4vN5eXbvs9z26W3M/3A+rxx+neMXncuhd97h+OOP4xwyJLitefdu+i9ZwuBrriHt44+TmpJIS8sK\nXkN2dgGSZAhWG/JXTtJTWlpKVVVZmDwcjlq+//1yvvvd8JmTt9/OwmSSmTQp3JNcXx/7KyOa8dTS\nxOFY+3W1ikFqz7DX62m36jzRntd4Tfy0xGENDY0ACc8A7Nq1i0mTJnHeeedFrFuzZg0Al112GRZL\neNfG4uJiBg0aFGy81RE8/PDDyLLMzJkzWbduXdRthgwZwuDBgwH4+c9/zpYtW7jnnnu4+eabGTx4\nMAcPHuTll1+mf//+/OQnP+mwsWtodBcSUcICSkosj6O/qZdb9XgB5aqhwRZztkANu702ovOvGv7x\nNm1rtZ5W3TaRAgEVDRUsP7YcgKO2ozy28zH+8s1fmN1nNovOXsSoi5eR/vHH5C1dSkrjOzJl7176\n//jHNAwdSsUPf0jdhReilvQgSQbS07PD5KnXG0lPz8Zur8Xr9eDzefH5vLgbc6ZDZ2nUZF5Q4OHm\nmysxm5uu0eMRmDt3KD/4QTnXX2+Nul9zRbihwUZdXVXYMo/HnbCiGjq+0P26WsUgtWdYUZSgsp1s\nh+1EaP68xiOW0Z7McTQ0NLo/gpLAt9iNN97Ili1byMvLY8CAARHrDxw4QG1tLYMGDSInJzKhcN++\nfdTX1zN58mQA/vnPf7Z+5DEYPnx4XO/c4sWLWbJkSfD/iooKnn76aTZs2EBVVRV5eXnMmjWLu+66\ni+zs7KTHoLW2jo3WAjw+XV1GauE9fk9kcsqEx+Oivr46qicyPT0HSdJjtaonuMZCrzeQnV3Yon3V\nrjFRvLKXj0o+4o3Db7ClckvE+pGZI/nlWb/krKyxpK1fT/7SpaTs3Ru2jWvAACpvuomaefNQjH4F\nUqcTVRXKaMpzcwL3KJnr+/DDdO65px9vv32Q4uKm++R0CphMSsSY/CVJo98zozGF1NQMVcMw3rMV\n7RpjySRRWvOZC4TWuN3OqMZhSz4XbY3Vejpq9axkPiNd/b3UVdDkFB9NRokRkFObHzeRjXr37s2W\nLVtIS0uLSKS12+3U1NSQkpLC2LFjo+5/5MgR6uvroybhtgct6TmQl5fHQw891A6j0dDomRiN5ggl\nLZE+AtHwh670iuoxttlqWunZFaipKW9RzHO82YngGQQBSdKj04n4fD68Xr+SJekkZvedzey+szls\nO8ybh99i+dF3sHn8cfV7avaQKqWCTkf9rFnUX3ABlk8/Jf+ZZzDv3g34Owv3fughCp5+murrb6Du\nhhtJ6d1f9RoSaZIWWJ/I9el0IiZTKjodzJ1bE6b8i6LE4sX9GDHCzSOPeMPGVFcXfZYA/KFRsTz8\n8WaXEplZ6mgC3ng1JbsrNDTrajMnGhoanUdCMwAAU6dO5dxzz42o5rN8+XLuvfdeLrzwQp5++umo\n+15++eWUlJSoJtr2RDSLNjaa5R+friwjNS9zenoOKSkWlb3io540HL0+fUtI1lPc0GDDZquO2dE8\n1LurJht/nwQ9NreN9w4v543Db5AipvDy+S9HHlBRsGzcSN4//kHqlvCZA8VspuG6G2n44WLk/gMi\ndlVTQEMJGFyB8YYq0n7DzhGmWNvttVHvy6lT6VxyST+eeKKMOXNqQwxAI9XVx1XlpdPpGqtHhRNv\nZsIf/qNrN6W/LT5zbTkz1ta0xcxJV34vdSU0OcVHk1FitNcMQMJJwKNHj2b9+vVUVlYGl7ndbp59\n9lkEQWD27NlR99uzZw8HDhyguLi49aPV0NDoEqh5mW226lZ1iW2Jl1SSJNLT00lNTU/4HKGJyqCe\ncOrxuLDZapBlOYYyGz7rEZqcKUlNJUJ9Pi8uVwN6RWThwIW8MesNnj4nutNEbzDhumAWp17/N7vf\n+RfO+QtQGvMABIcD8/N/J3vqWVhu+x7S19sixhMPj8cdvMaA5zo7u5DU1IwI5T+WR76sTGHCBAcz\nZ1aGJZU+8IDEkiXqFZIEIfpXT+jMRPPrEARd8BxdOYG1pR22O4KWJA5raGj0TBJOAl60aBEbN27k\n2muv5ZprrkFRFFasWMHhw4cZOnQoc+bMidhn3759/O///i+KojB37tw2HbiGhkbnoR6iISPLfu9z\nSxIf1ZRXSTLg83mjzjikpaVjNAoca6yvnwjhoSfqCadqho5O5+9GrOaFDijVNTXlqpWLBEHwdw8O\nO264N7bMXsq4ndcz/rsTWHDdT7hy5WGK31yFzulEkGVS3ltOynvLcZ9zHg2L78Y966IEw5aUiMTP\nWHJQuy8TJ9p5+eX6sGUOh8xbbxlYuDC8gpAs+3OZAzMh0RK6A+eJFuITGlrVdMyul8DaFcOTQkk2\ncVhDQ6NnkrABcNFFF3HLLbfw0ksv8cQTTwS9Yb179+ZPf/pTRNLtvffey7vvvouiKMycOZNFixa1\n7cg1NDQ6jUS8zC1RzqIprzqdGCxzqaZUVVZWJtQwK9r4Y1VGUVOiRVFKKGkymRmNaBV93jn0FrIi\ns7VsC1vLtvDgEJFpj0/imiNpXP/aVrLK/O1gDRs/xbDxU7zDhuO4626YNx+714ks+/B6PVFnL/xx\n+OVhCraaHNTuS7RQntJSPYWFbq64IjwH4N13M3njjRxWrLBjNBL1eJEzKfErMnWF2PrmaEq2xplM\nW/Wa0GhfkuoE/Itf/IIrrriCL7/8koaGBgYMGMDMmTMxGiNvbGZmJrm5uSxatIg777wTnUoZOw0N\nje5HosmxySpn8bynakpV8y6s8QhVNGMlnLY2aTLWjIYoinG/IPNS8hmVM4ZvqnYB4FN8fFb1FZ+l\nw88WG5njHcNrL9cFuwtL+/eR/j93Yf7dg9TcdDOem27DZjRFjUn3ej2qsxOhyLJP9b4ESo2GMmCA\nmzff/DbiOMuWZZOXJ2Kx+K/TYsnEZqtGlhV0OgGLJVNVSfB4XKolYLUEVo1k0JTT9iVeCV+NrkPC\nScDJUl9fj8ViSahZTk9ES2qJjZb8E5+uLqPQL1J/eI56Umd7Ikk66uurqKurS2j75onKsZI2U1Mz\nkkqajJZQ688haF25yn3Wvby280VWHH2PU45TweXnF57PszOfJf/LLaQ8/ScMW8ILLchGI475l1Nx\nzVXYhw1L+HyhxLqHiZQcBbDbddx22yB+8hOFuXO9wf127dJz//19+Otfj9G7txxVLvHO0drE81C6\n+meuK9CdZdRe5WOj0Z3l1BqSSYI/U2WULJ1aBrQlpKWlxd9IQ0Oj2xIa5qD2xdpRiY+5ubnY7XbV\nMCB/R1x9RIgNqIcdBTyDicZzq3m+LJbMsMRao9GctAdyePYIHjjntywZuYTtFdtYeWIla06uYW7/\neRhTLJRPn4J70ouYtm8n78UXSVu3DkFR0LlcWN58A8ubb+AcP57KaxZRd/FFyHoDEN/3E+8eBuTj\nDyVS/wJPTZV5++0SMjL8z0vg+pctK6CuTiQvz4MsR2/aFq+sqcvlaDMDQKNnozVCa3+6WpduDXXa\nzQDQ0NA4c+jsxEez2UxWVj719X5vu6L4Y9wVxa+UKoqi+gUUb+yJxnOrKRculyOmoZTo9LhebyQ7\nq4CzDdOZUjiV+yc/iMmUGjbD0HDWWRz/858xHDtG9r//zeEv3ubfQxzM3w/n7thOn+3b8T72/7Au\nXEj11Vfj6dUr4hzJltnU642IohRM/o6OQGpqBoEJ4cA9KinRs2BBNZLUtLyuDq680szvf+9kwgS5\nzcPMNNqe7hJWoymn7Y/Wa6L7oBkAGhoabUJnJz4ajSZE0X9+f/WdxCvGtMXY1eLp3W4nNTXlYZ1v\nEx1XvHEGkngjztm/P6W/+AV/3ybwwpFX+NM0yGqASw/C/P1WZv/zOYa+8AJ1F1yAddEi7FOmoBMl\n0tKyWqS4xfty1+sNYcfV6UQEAf7+92OETtrodCLLlunZtUtHUZGS0LGTUSw6QlHtLspwW9HamO+O\nlJemnLY/sWZUNboWWmauhoZGj6OjPX2xklQVRQnWrFczElo6rnj7fVL1RfDv6hR4bSxccxXk/hwu\nuc7HyrKPGHjbbRQvWEDR8vcwuGI3EFMjWu37cMLDjUK3Fxt3CygJu3fruPhiL716KcFtBUHk7rv7\nsX59ZNnURBWLgKLann0EOuIcXY1YRm08OlpeXblHQ09B6zXRfdAMAA0NjR5HR3v6ElF2/GEv0ePk\nWzKuWEZHgJdmvsQT0//Ipf0uxSI1xcl7RPjvYPiyj/9/47ffkvnre8keOxzLvfcg7t+X1FgCX/pq\n1d6aX18sJeGJJ1w8+6wzbNtDhwpZty6dlBRdsAdDsopFaxTVROmIc3Q1WmNsd7S8NOW0YwhtLpiZ\nma/Jt4uihQBpaGj0ODp6GjpRD75fERZaPa6msIvYlTMyDBlcUnQJFxdehEf2sKViC+tPr2f96fWc\ncpxi+vl34K7eieHLz/1jsdWT8sJzpLzwHJ6Jk2m47kbcl1+Bkha/y3JT87PEksFjhV01ryy9ZUsK\n/fvLzJ2biU6XGZTB//2fSP/+NhYsqEYQdEiSXjWEpCNmhc7EGPPWGNudIa/ODlXU6B7oSk9jXPYm\nuppqHHf/b0LvwO6GZgBoaGh0GB0V79vRScmJevBFUSI9PaPV44pXGSeUwKyDXqdnWsE0phVM495x\n93Kg7gBDs4ZRe0t/xN27SHnxeUzL3kBwOPzbb93M697NPH74f5gpFnPOxEVMueD7ZJiyVO9je8n9\n7rvd3Hqrm8AEg8fj4uhRKy+9NIS773Y2GkIyPp9XNf68I2aFzsQY89YY2z1RXoHPhqLI1NcbMRhS\nEUVDZw9LIxFcLgwfrsb0r1cxrP0IodHBougEHL98oJMH1/a0ygCor69nzZo1HDx4EJvNFtMbJQgC\njzzySGtOp6Gh0Y3p6AYxHenpS6QxWnhp0daNq7UeUkEQGJYxDKM+BQDf6DHYnvgz9gcewvSff2F6\n7RWkPbv5eBB8k6fwDQf425HfoPv2N5xFIZP6X8DE/jMZnzOeFCkl7D62l9wtIZU+7fZavvzShCDA\n/Pk1Ydu9+WY6drvAz34Wvn8iiqrL5eT48SqcTheCoEvaeDkTEyBbY/T1NHk1f8e53S5E0U5GhhZm\n1JURd+3E9O9XMS37DzpreAdzRZLwTp7aSSNrX1rcCGz//v3ccsstVFdXR20zH3EiQWDv3r0tOVW3\nRGtsERutAUh8epqMkmkQkwztIadYMxVq60KXg4DP50NRfI1jNLS4wk401GSZDDEbICkK0s6vuem/\n32Ol6RiySrbY+dIInr70NRS9XvU+BuTi9XpQFBmdTkQUpVbNDFitp/F43FRXi2RlNSmPsgxz5xYz\nfryL55+PbEIZ777W1laE9ZJoSZOonl4FqK0/bz1JXu31juupdOZ3nGCtwrTsPxj/9Rr63Tsj1vt6\n98F5zbU4r7keeeCgDh1bc7pcI7DHH38cq9XKqFGjuPjii8nJyUEUu++0nYaGRvvSXeKjY81UADFn\nMTIz86PuHy9ZN1kSmXGIhU6ni63YCgLeceP5x7hd1NWWsfn9P7Nx1zusN5awu6Bps++u3suwJ75D\nzdy51F91NZwdruREk4Usy3i9nlbN/gRCREKVf4ADB0yUlBj4/e8rgaaY3Y0bRT79VOQnP0FVEbPb\nayMaybWkSZQWY54cPUle3eUdd8bi9WJY/zGmf72G4YOVCJ7wqmyK0Yhrzjyci27Ac97MphJlPZQW\nzwBMnDiRgoIC3n33XfR6fVuPq9vTU7y27UVP8263Bz1NRt1lBiDWOIG419BRXkCPx0V9fXXSJRNb\n4tUO7nvsKOUvP8m27cvYkF3Lj76CMeUhY5owEedVi3DNW4CSn8/agx/w089/wtjssYzNHstZOWcx\nNGMoep3/O6OlMolmWAQoLzcybFgWBkPT9d18s4mjR3WsW+cINiNrTmBWoTl6vYHs7MKkx9hT6Wnv\npbZEmwFIjo56lsRDBzH961WM//kXYllpxHrP+Ak4r70R14KFKBmZ7TaOltLlZgBkWWbixIma8q+h\noZEQ3SXetyVevHAPd8d4AQNde2Otk2UfPp+MosiNiq+AxZLZ4hALV1EhwuJfMM51N9O/+oos73Lk\njz5C1+hJ02/bin7bViy//gWe82ay9zspnJRPctJ+klUnVgFg1BkZmTWSsdljGZ8/gWszbkZQ08pj\nXHsg7tzn8yLLvmAVoOHDw0NI6upg7VqJBx90hSn/p04JvPCCnsWL3WRl9cyE1O5AsiFAXTlkKNo7\nThS73jvuTEBXchLju+9gfHcZ+u3bItbLuXk4r1qE89ob8A0f0Qkj7HxabAAMHjwYu93elmPR0NDo\nwXR0ZZ6W0hJFMHRdRyqS6kaFEhaOpCgygblem60GSdInLfcwr7soYp8+Hfv06Yi1tWSsXEnW8uWk\nNOZ5CbKMYcM6fDowTQdniJ/IJbvYXrWd7VXb+fjUx1w37pYWXHnioSPp6bBpkx2LJXyy+/XX9Tz/\nvIEf/9jv9U9NzcDrdUfkAGjKW/uRbGGAji4kkCyh7zhFkTGZtCpAHYlQXo5xxXJMy5eh/+qLiPWK\nJOG+aDbOa2/A/Z2L4Ax3YLfYALjlllu47777OHLkCAMHDmzLMWloaPRQukO8b7yZimix9z6fD4/H\nhV5v7NCZjnjGRqxGS8neB7XSo76MDKzXXYf1uuswHjhA5urVZH6wBv3JE/x2HTywAXYW+JuOfdFf\n5IshRg6b/KVGx+WcFfe8j216hD5pfRmdO4ahWcMxSaaIbeJ5hQNdhQMoCvznP3quuMITrC6k1xtJ\nS8vnscckFi60UlQkt9pA7cre6q5Ass9nWz7P7UXgHaeFSnUMQrUV46r3Mb6zDP1nG4KlO0PxjBmH\n68prcF55DUpeXieMsmvSYgNgzpw51NXVcdNNN3H11Vcza9YssrOzY07lFhQUqK7T0NDQ6ArEm6nI\nzMyLiL33et3U1FSEJAN3zExHPGOjLcOREtnHNXQoZUOHYr3np+QfLUH/1huY3nuHiacrmHgaFm/2\nAQ4qzPDFUDOmsQ4Ey8dUjxmJLISP3W6vpdZZwx+2/D54fFEQKc4aysic0YzKHcPwjGEMNQ/BJIR7\nWON5hQUB3n/fgbdZbvaGDak89ZSJq64ykJnZusTtru6t7gok+3xqSbYaAIKtHsPqlRiXL8Owfm1E\nMi+Ad+gwXAuuxHX5FfgGF3f8ILsBLU4CHj16NODPBUi0DOiePXtacqpuiWb1x0bzjsRHk1Fi+Hxu\n3G57i2u3t4S2TvZrjac41r5tOc5kSo8ajSmkpmb4FWCPm9QtW8hYvZr0//4Xqa4u8hry8qi95BLq\nvvMdHOMnIEgSiiKztXIrN2+4Oea5Xpr5EhNzJ0YdQ7LXeNNNKVRWSqxZ0/SZ83hcLF2qMH26jcGD\nE58V6KkJoW35XkpWRt1Jptr7Oz5JyaihAcNHazC9swzDR2sQnM6ITXz9B+BccCWuyxfiGzES1Yz/\nbkaXSwL2NnedxKGFdoaGhoaGKtFqt3eEl7UtPZGt9RTHCqtqy3Ako9EcRfkSEAQh2G049PjBcA1R\nxD51KvapUzn9619j2biRjNWrSVu3DrHBfzx9RQW5r75K7quv4s3Kon7mTOouuICRk8fx3HnPsb9m\nP4ds33Kw7hAHqvfhkZs8fkMzhkYdb+Ca/7Hr72w4uZ4hmcUUZw5lcGYxQ7KGkG3KidjnL39x0dDQ\n9LXo8bjYubOG3/52CA8/7KJPn5qE743mrY5Pss9ndykkoNE2CFVVGP77AcY1qzGs+xjBEZl36ivq\njeuyK3AtWIh33Pgeo/R3BC02APbt29eW49DQ0NBImraq3Z4sbZno255xzYFwJIejDp3O3yjLbE5v\nUQKwzVYTsTw9PRtJ0kedgYim6Cp6PfXnn0/9+ecjOBrI/Owz0t5fgeWzz4KVhKTqarKWLydr+XL6\nmkwMmzaNulmzcF74czIGj8Ltc3Ow+gBfHt3ASdtJ0vRpUcccuBdfnPqcD46sjFifY8phcGYxlwy8\nlB+N/7F/WQ5kZUF1tX8bu72Wt99OJy3Nx8UX1wJN9+azz4oYOFBm1KjonkutqlB8kg2X60qFBLT8\njvZBPHwIwwerMXywEv2mL6PG9Mu5ebjmX47z8ivxTpkKKtXQNGLTYgNAQ0NDo7PpLC9rSz2R0ZSG\n9r4Gvd5ITk5Bq8IR1BKAXS4HKSn5UQ2VeIquYk6h5pKLqb74InR1daR98gnpa9di+eyz4MyAzukk\nfd060tetQ3nwQTxTp+GePYcx351Dfv/5yFGUg8C5A/fieN3RqNtUOauoKq1icMZgamrKkWUfoihh\nNPYKbiPLPm74XhnWkX9gfUU+vVN7U2QuIksu5Kc/NXLNNV4eeih6HwbNW50YyRYG6AqFBLT8jjZE\nlhE3fYVx5fsY1qxCOrA/+ma5ubguuRTX5QvxnHMeSJr62lpanAOgERst7i82WnxkfDQZxaczY4Jb\nUr+8udKg04mIohS1mVdbXkNrn6WWNMmK1awrFoLLRepXX5G+di1p69ejr6qKup1z6FDqzj/fPzsw\nsineVxAEsrIKgvdCVmRO1p/gUM1BDlUf4FDNQb6tOcTBmgOU2k9z9+i7uX3Y7cHjSpJEZmYeomig\npqacI9ZvueSDS8LObcCMu3wAU0cUMSS/iP+d+DP6pfdn82Ydej2cdVZT/kBP8xJr76XE3jvJyKmn\nPSdxr8fhwPDpBkxrVmH8cDWUl0c9jndIMe7Zc3BdcineSZN7fGdeNdorByAhA2DEiBHcdNNN3Hvv\nvWHLkjqRlgSsEYL2JRIfTUbxiZYD0JpOt+2JmtIgSQZk2RdhGLTlNSTyLMX60rZaS6MaKXq9kezs\nXhHLmx/T7Xa2LA9MlknZuZP0tWtJX7cO49Gj0c+Tn49t2jRs55yDe8b5pA8antDhSyqO0OCyR4QR\nmUxmMjLy8HhcfHhgJbfESUT+8rptDMocwrx5KRgMsGxZ+H1ec3Q1W0o3UWgpoii1N71Se5FvLiA3\nJQ9DN6sRr72XEjOIE5WTmmOgK77DEkHtenJsTswbN2L48AMMG9YiNES+CxVBwDt5Kq7Zc3DPvhTf\nEK16D3RyErCiKBEv72Rf5tpEg4aGRluj1xvJysrv8CpALUHNEy4IdHpcc7yQBrX3d7z3eiBco6Wz\nAeh0NJx1Fg1nnUXZT36C4fDhoDFg3rmz6Tzl5WS9+y5Z777rVyLGnoX7gu/gOX8WnklTwNC8TKjf\nMNErIlKUHILAOPV6IxP7TuXJc/7MCdtxSuynON1wmhO2E5ysP4Fb9iuBvVKLOHBAx1dfSTz7bLhi\nc/SowL+3fMTK8ueiXmK2KZvz+85i6UUvxBSFoihJd0yOR0/zPHcU3SUHqDMIPk82G6mbNmH5/HMs\nX36J8dix6DukpOC+4Ds4L7kU94WXaHX6O5CEDIBoCb9aErCGhkZXwGg00atXTpf3SMZSGjoqrtnl\nclJfXxOh8MVTQtT0Tp/Pg9V6ukXJm7IsR51V8CMAkcaFe9AgKgcNovK22zBV15D7+VfoV60gZdNX\n6BrLAgqKgn7HdvQ7tsOTf0Axp+I+97ygQeDs25ea2sqYxkjoveqV3jtqt2JFUahyVlFqP41Zb6ao\nSObJJxv47nfDK+QtXWrgv75SUOmXaXVacXgcqmMJMOLFgRhEI7kpeeSm5JJjyiU3JZfclDwyDRlM\nyBpPb3NRwop8T41j7wijpi3zO3pMtSivF2nbVrJWv0vKxs8w79qF4It+fvRiJwAAIABJREFUDd7c\nXOwXzEKeO5+sq67A7pS79LsbeqaxrGVRaGhoaHQAnZ0U6nA4qK4uj1oyNZ4Soma8KIoSDIWIpzw2\nN3JihT5YraVxr0fpVYjn1h/gufUHOJxO9F99gWH9Wgzr1yJ9syu4neCwY/zwA4wffuA/b+/emKZN\nwzZ9OrYpU5AzwuUvSRIWS/x7IghCowKeC4DFAtddF678Oxzw1lt6rv3+77l07q2ctp/ilK2Ek7Vl\nHC4rx2MqpcJRTt+0fjHP5fA4sDqtAJTaT0fd5g9T/0B+H/9Yot2LHeXbeevAG2SbcshOycHkk0jV\nmckyZpFpyCTTkIkE3dbzDB1n1LRlNaJuWy1KURCPfIt+/ToM69ei3/gpuvrIHh8AiiTRMG4ctrOn\nUT/tbBrGjAGdDlEUMXaD6JCeaixrBoCGhoZGB9DZJQwrKytVS6bGU0KiGS/NCZ0xSMRb1hp5RBhO\nJhOemRfgmXkB9gd/i1BWhmGD3xgwrF+LrrKi6bwlJWS/9RbZb72FotPRMGIEjgkTcEyciPfs6fQa\nMwqXS8HrlRP2+qltJ4rwu985mT69H/369Q1u/8orev79MyPbttkpKoqvANk8NsbkjqPMUYrVWYVX\njuzDk23MDv4dLYRkV+VO/r7zb6rnMIkmNl22KeY93la2BVnwMcjXF73HTKqYjk7oOiUYOzKcpq1m\n7TrbMZAMupMn0H/1BfrPP8Owfi3iieOq27oGDPDn5UybRsPUsxEyMiNm/Hw+H5WVlaSlRfbk6Er0\ntDCtAJoBoKGhodFBdGYJQ7XmjbLsIy0tO6YS0lxZ93o9UeP/ZdkX11sWT6lWDwvyE+gyHMtQUAoK\ncF19La6rr/WXGdzzDYZ1H2NYvxbpy43BngOCLGP+5hvM33wDr7zi33n4cMQpZ+OYOJmaEUNx9SoI\nVhiK5vWLdr0uV0MwXv+ii/Skp2cDTfu88oqeWbN8Ycq/osDmzTomTZIjyprnm/P5+OpPG7dTqHXV\nUNlQSaWzkmMVBym3lzEobVDYPm53uBytzujVlAJkGDIQBCGm5/mhL+7ni1Mbg//rBB3Zpmz/rIIp\nh8uLF3Lr6NtV90+GloRcdMdwms52DKji8yHu3eNX+Dd9gf6rLxFPlahuLmdn455xPp6Zs3Cccw51\nmWnB60lPzaC+3hp1v2SbynYG3fG5SgTNANDQ0NA4A5BU6mY35SDEVkJCjRe1ikY6nRjTW5aamhF3\nKt1ur41xDYbkDSidDt/oMTSMHkPDj36Mt64az0erMX/2GZYvv8R06FD49vv2Ydy3D+M/XyIL8BQU\nYG+cIbBPmIB9pERmSOUjtR4JAQPJ63VjtZaRnV3QmFANP/iBmz59wg2obdt0zJ2byptvOpg5U12x\nEASBTFMWmaYshlDM8JTBUe+Fosg0NNhISbEAsGj4DZxdeA5WZxUV9lJKqo9T7arG6rJS46oh3ZAO\nCDE9z9aGcCNCVmS/IdJQCcCUXmer7gtwylbC9NcnkpuSR05KDjmmXHIa8xhyGsOpLh4wmzTR0sKQ\ni+jJKl09nKYr9DagoQH99q1+hf+rL5A2b1IN6QFQDAZ/X46Zs/CcfwHe0WODDbl0QGaz7dXugdp7\nqSvRbcO04tD1Ja+hoaGh0Wpyc3Ox2+0RJVPDvfzRlZDm3lij0aw6Y6Dm6XO7nciyHHcqPZZXTVFk\namrKE/aQRvUip2ehzFtI9awLqZJ9SLV1ZO7ZR8rmzRi++gJpx3YI8Urqy8rIXL2azNWrAfBlZOI9\nexqeqdPxjp8AfXuBMV4pTyUsofrKKyO9nq++qqdPH5lzzw2//r17dQwbFjkrECA1NSOqAQBgs1UH\nOzVLso+hKQNJzT0Lu70WV17kPnq9IaZcbxx5MyftJ7DJtZyuLcPaUEWV04q1oQqbp57slNihHJUN\nFTi8Do7XH+N4ffSqMBuu+RKd6FN9TnbZ9rKtbAv55gLyzfmNvwtIl9KiluYMVAbTCEeoqkK/6csm\nhX/n1wiNM2PRUMxmPBOn4Jl6Np4p/h/M5oTPFy3USRRFcnNzcbm6dh5AdwrTSgbNANDQ0NA4AzCb\nzWRl5UetAhQLtZAeiyUTl8sRcazYCcPRw3uaf7Gq4fN58fm8CXmD44UiBY2d7ELkgcOwz7kMl6Qj\nywD1H63H/fGHGDd9hXnnTnQhNcvF2hrENasxrvEbBJn4450bRo6kYdQoGkaNwjliBHIz5SheuMBF\nF/k491xfWK+jmhq45BIz99/v4vbbPcHram7UqFVNkmUlqgx0atZElGOE8oNxd6nWt3f5XMhK7Eou\nXtnL0KxhVDVUYnVaUaKcLzclD9mpHq7232NrWLrj6Yh1AgJZxiwm5EzgT9P+FFwuilLnh9N0MkJF\nBdKur9Hv+Bpp5w6knV/HjN8HkPPy8Uyd5lf4p07DO2oM6PUtHkO0Wca0tEzMZjMul73Fx+0IumyY\nVivRDAANDQ2NMwSj0YQoJhdqoBbSU19vxWAwkZaWHfZFmEjCcHNClf5kE45DCVWOfT4vsiwntF8Y\nqal4Z5yPa/JUymoqkF1OUvbtw7xtG6nbt5O6bTtidfgsh/HoUYxHj5K5ahXgb2jkGjjQbww0Ggby\n2LNiyuDSSyOV3mXL9Hi9cP75pVitbhTFbwSdPCnSq5cHUaTR662muCtR753a9q0JaTCK8ZWhCQWT\n+OzazQD4ZB9Wp5UqZyVVDZVUNlRQ2VBJtimbenf0fAWdTqTcURZ1nYKC1WXF5rWFLY9WwnbeO5eg\nE3QUphZRmFpEkaWIwtTeFFoK6WPpS545v0slNyeDUFaGfud2pFBlP0bsfgDvkOJGhX8anilnIw8c\nFF14raD5LKMkdR8Zd4kwrTamTQ0Am82G3W6noKCgLQ+roaGhodFJqCniiqLgcjXgcjWQnp4TjDUP\neMuqq8sSagDZfCo9mYTjUBJtNubzJZZ0GDoO74SJ2CZNQUnNwCUZEA8eQL/5K6Qd25F2fo20exeC\nuyn8RFAUTIcPYzp8GFasAEDR6fANHYZ33Hi8Y8biHTYC3/ARyPkFqorWoEEuFi+uIz3dRiA6Q1Hg\njjsGM3WqjfvuO40s+5AkA15v9PAXJYpXXhB06HRCp4Y0iDqRPHMeeebIxk+xQi5+PPGnzBt8OeWO\nssafciocZZyqL6GyoYIic1HYsZobNV7Zy5bSTfgU9efk8ZlPctOoW1t5he2MoqArOYm0e5f/Gdz5\nNdKOrxHLEiiha07FO2YsngmTggq/kpvbAYPW6Eq02gDYuHEj//73v9m8eTO1tbUIgsCePXsAv0Hw\n9NNPs2TJEiwWS6sHq6GhoaHRsSTiFa6rq0KS9MGZAL3eiMFgihqbLkkGRFFMoERo/ITjUNSScZvj\n9XrweFwJTd+ref18Q4fhGzoMrv+ef4HbjbR/L9KOr9Ft24K4fSuG/fvQheQSCLKMtG8v0r698Mbr\nweVyRia+YcPxDhvuNxCGjcA3bDhyr0LGj69k5Mjwa9+2zczRo0buv/9U07EF8Hjy0OmqkCR/x2CL\nJQuXy6FyD/SkpmZ02ZCGWCEXw7NHMDx7RMQ+an0lmhs11c5qUvUW6tzqyebx+jJ8eHQ1j3z1W/ql\n96d/Wn/6pfenb1p/BmUMZkDGQAxivJyQJPB6EY8dQTxwAPHAPqQD+xEP7kc6cADBET90Rrak4R07\nDu/Ys/y/x43HN2gwYbFmGmckrTIAfvOb3/Cvf/0r6J0RBCHMU7Nx40ZeeuklNm/ezCuvvII5iYQR\nDQ0NDY3OJ9GQnuahNWpe3PT07KQUzUQT8JIJOWrz+t0GA94x4/COGQc33ORf5nIh7duD9HXjLMHX\n25H2foPQrOyhrrYG3aYv0W/6Mmy5nJ6BZdAgGgYNxDV4cPDHZOzPwoVWJk9uUv50OpGHHsrGas1h\n2bImhV+S9KqySybpuzOMg2RDLhKN084z53HothPYPDZKbac5ZS/htO1UU5O2+hMMzhwS81wHqw+y\np2o3e6p2R6wTBZGhWcP57Povo+wZA6cT8dtDSAf3Ix7w/0gH9yN+eyhsdikWckamX8kfMw7vuLPw\njjsL34BBqGaQa5zRtNgAeP/993n99dcpKipiyZIlnHfeeTz77LO8+uqrwW1mzJjBggULWL58OS++\n+CKLFy9uk0FraGhoaHQMoYqV2+1UDetproC3VeJcosdJJn49EWOh1Uqw0egP9xk3vmmZ04m0ZzfS\n3j2I+/chHdiHuH8fYsnJiN11dbWkfL2dlK+3hy0vNpm4rKgIz+LeuHv3xtO3L67CUZxaOYarfl4E\npAa3dbuNmM15eDyJX0e8pG9FkamvN2IwpCK2pae7DUjGaLDoLQzJKmZIVnHS57F56pF0UtSGbP7Q\nIiXYByKIoiBUVCCeOIZ44jj/ObGC1Moahp9wULy3lNQjxxHk2EnUwUMJAnL/AXiHDsM3bASecWfh\nHTMOecDANo/b1+i5CEoiQZpRuOGGG9izZw/Lly+nXz//dNkjjzzCK6+8wt69e4Pb+Xw+LrroIiwW\nC++9917bjLob0LxCgkY4apUkNJroDjLqCp7C7iCnzqatZOTxuLBao8cYG40pnZokl2gOAKiPNSCn\n0tIqrNbyCM95/Dr0LUOor2vy+u7fh7h/rz/UI06llmj40tPx9OmDt09ftlUP47+Hivnfv/SCgQOQ\nCwpQ0jNiKolqIVfNEUWRjIz2kUd3wCf7OG0/xYn64xyrO8qx2qN8W7abb637Ga3k87xjNuayU3gO\nfotw3K/0C05ncP+ie+B0mv9vnQzDqmBcKYwr8/+eUgLZXj2+QYPxDR2Ot3ioP1SseBi+wUMgJaWT\nrrzt0N7diRGQU5sft6U7HjhwgLPPPjuo/KshiiKTJ0/mww8/bOmpNDQ0uiDxyixqdD1cLmfSZUBD\n0euNpKfnUFcXXqUlVgJpRxmJ0WYKjEYzNltN0smuNpt6M7P2MHKUtHS8EyfjnTiZsEKpNhvs3Y1v\n19cYDu7H+O1hDCUlSCdPIDREV9LFujrEPXtgzx5msIYZADeGnMtoxJOTiy8vF19uLkKv3tCrEDm/\nADkvH4NJRM7MwJuTgxIjbNfnaz95dBlkGaG6Gl1FOfLpEjwlx9FVlqOvsmKurSPLamV0RTm6igp0\nFeUIrsDdOwR8DkC0wpl1xiblH0DWwd48/8+/x/iXPTHiV9x47j2tKr2poRGLFhsATqeTnJzYTT8C\nGI3GiHJsGhoa3ZtYHV97tFLQTXE4HFRXl4c1AmuJwZaSYgk2l4qn1He0kRgtBCTRsYaiNosQfh0d\nYNhYLDD5bMTJZ+MDHI0/KApCeTni8aOIx48hHj+G9+A+xOPHMJSUoC8tRfBFvwbB5cJwqgRUSkOG\nmkY+sxlvbi6+rCx8Fgu+tDTk1NTgbzIyMPbqi2JJQ0lPR0nz/5Yt6Sjp6WAydW5IiseDYKtHsNkQ\n6ht/2+oQbDZ09fX+dcHl/nU6qxVdRQVCRTm6qkpVOSaDYjbj69sPX99+yH374exbyAvZVRwwOzio\ns7LPfoQD1fvwyE2NuEaMmBVT+d9Rvp3PSj5lTN5YxudPIM2Q3upxapxZtNgAKCwsZMeOHXG3UxSF\nrVu3UlhY2NJTaWhodEESUZI0ug6VlZVhyj+03GBLNNa6KxiJLanfrZZPEFje6bNfgoBSUIC3oADv\n5KkAWK2nmzrher3oS0sxlJSQUlpKWlUN4okTyKdOUrqjmgxnBTm+irinER0OxOPH4XjyoUgAiiSh\nmFJAL4GkRzEYQJJQ9HrQ61EkPRj0/nV6fcg6A4ok+WPivR7wev3J0z5f099eD3h9jcu9jct94PUg\nuF1+hT4k5Ka9UAQBJScHOS8fX+8+yH374evbHwb0xzJ6ODWZeXgyssMMIQGY2+w4Hp+HgzUH+KZy\nF99U7WZEzqiY5/3w2Ac8vvnRxuMJDM8ewYSCSUwsmMzEgskMzRqG2Iq+Dho9nxYbAOeffz7//Oc/\neeyxx/jpT38atbOgy+Xi8ccf5/Dhw9x8882tGaeGhkYXI56SpNG18HrVu6u2F93VSLRYMnC7Xaqh\nQ13BsGlO2OdOkvD06YOnTx8adDpqRQmdTsTj8fLLX+YzcaKDK+aVI1VXI1VWYjtUz/MPC/zoqhP0\nNZQilJ5GKT2FWFmJVFmJWF/fojEJXi+CrWX7diaKXo+cm4ecl4+Sm0tDehrurEy8OTl4s7P9v3Ny\nEHoVkjF4ZNSSmpKkg6xUlGo7JBDfrhf1jMwZxcicUVyVwBi/qWyqQKSgsNe6h73WPby2958ATCyY\nxOqFaxO+Zo0zjxYbALfffjsrV67kxRdf5IMPPmDatGnB5N8nnniC0tJSPvnkE+rq6igoKOD2229v\ns0FraGh0PomWZ9ToGkhS9Nd9exps3dVINBpNMSsPdUXDRq1cqyzLyHJTGcmHHw6E/ujx5ufjzc/n\n+U+KeFmXxT0P2rBbQvdtrCDp8eC1VuIsP4VgqyPF5cLg9CDaHP4Qmvo6f0hNfR1CXZ0/tKau8W+3\ny1/G0uv1h+R4PeDx+n+73RFlUZMhOJMgSiCJIEookgQGA0qqxR+SZLEgW9KCfyuWNP9P8H8LSlp6\n03aZmSiZWWEee7XEaKMxpdPq6d879T5mD7yU7eVb2Vq2hW8qd4U1NxuRHXsGAfxN0SRdm/aD1ehG\ntPjO5+bm8tprr3Hvvfeyfft2li1bFlz3/PPPB0vFTZ48mUceeYTs7OzWj1ZDQ6PL0FZlHjVaTyLx\n6Lm5udjt9rAwoPY22LqzkRgrdEjNgPH5vFitp8PuQWclQft83oRy73Q6EUUxcf31HkL7dbrdMGNG\nKr/8pYvLLgOpoBBLQWFY5RZXW1RuUZToxoHHA6LoV+71kj88SPT/RpI6tLZ9V3yOAw3RFg2/HgCH\nx8HOyh1sLd3M1rLNzOx7Qcz9KxwVTHltHGcXTuPc3jM5r88MRuWM0cKGziBaXAY0lD179rBp0yZK\nSkpoaGjAbDbTt29fJk+ezPDhw9tinK3i7bff5uGHH8Zut7N27VqKiooitjl58iRPP/00n3/+OVar\nlaysLM4991yWLFlC7969kz6nVtYqNlr5r/hoMkqMM11Oah1QQ+PRQ8tbtqYKUEvH112MxESfpURK\njup0IhZLZtQqRB2RKxCWE9AM/7mVmPdjxQqJ738/hfXr7Ywc2SQLUdSRnX3mfd6SfY67+ntpzdHV\n3LjqmrBlmcZMphedx3l9ZnBu75kMzRoW2c+gDenqMuoqdLkyoKGMHDmSkSNHtsWh2hSr1cr999/P\nunXrMJlMqg/yiRMnuPrqq/F4PNx8880MHDiQo0eP8uKLL/Lpp5/y5ptvaknMGhoaXZJk4tGNRhOi\n2LEx6i1Jwu3qJOJtl2UfNlt11OUdkSsQK8zK5/PGNUJKSwVmzPCGKf8A111n5OKL4ZZb2myo3YKe\n9hw3eBwUmHtR5mjq61HjqmHVkRWsOrICnaDjwK3HSDd2/dk6jZbRagNg8+bNHDp0iGuvvTZi3c9/\n/nPmzp3LjBkzWnuaFrFw4UJ8Ph/PPfccS5cuZcuWLVG3e/TRR6mpqeGFF15g2rRpweXjx4/n1ltv\n5f/9v//Hk08+2VHD1tDQ0EiYrhiP3pzuNAuQKKEKodV6OizOPkCiXZPbQz5qOQGB88czQm6/3cNt\nt3nCln37rcCaNRI33qiyUytp7+ekJz6HLeXy4oVcNuQKDtUc5NOSDXx28hM2lnxCtasagPH5EzTl\nv4fTKgPgt7/9La+//jqjR4+OagC89957rFixgssvv5xHH320NadqERMmTOD+++8nMzOTpUuXRt3G\narWyYcMGiouLw5R/gOnTp1NcXMxHH31EbW0tGRnah0FDQ6Nr0VaJtu2lHHV6ycwOQE3WgiBENQJC\ncwWiNStrC/kEZimqq8uijiERA7H5pPnevSL9+sksXKgjtA/Zww8bcLsFHnrIRUtp7+ekqz2HXcEY\nEQSB4qyhFGcN5dbRtyMrMt9U7eazk5+QbYqft7nk4x8yPHsklwz4LkMyi9s1XEij7WlxFs2qVat4\n7bXXyM/PZ+7c5hVt/fz617+mb9++LF++nP/85z8tHmRLeeKJJ8jMzIy5za5du/D5fP+fvTuPi6rq\n/wD+uawigrjgmhmiMrKoLFq4hOK+5IZbbqCZlaampWmpubRYWf1K7XHNLC1xT8Ut13BDwTW33EEU\nRRaVHYbz+8Nm4jozMMAMA8zn/Xr1eh7OvXPnzHcOcr73ngXe3t5aj3t7e0OpVOLChQvGqCIRUbHY\n21fW6IAWdoKiqnOUmZmO7OwsZGamIzk5HtnZRe/QqeQ3RKm80PUdVKpURWtykJubq47zkycJRouP\ntbUtbGwqaD1WlJWYevbMQVRUOirkuWRGBvDLLzbFnpNr7HZSmtqhMX/fisNCsoBX9aZ4p/m7GKQY\nku+5tx/fwvqrv2Pu8Zlo/bsf/H/zwayjH+FY7BHk5BZ9ZScqOUX+lV25ciWqVq2KLVu2IDg4WOs5\nw4cPx4YNG+Dk5IR169YVuZLGFBMTAwBaJwbnLY8u4kYoRETGpLrTa2trB2trG9ja2hX6rqYxO0dl\nYYhScen6DuzsKsnKte2Xo4uh4mOIBDGv51e9vHrVAkIAw4bJh0Bt3GiFsWMrQN+NdI3dTkpTOyxN\nyUhRHbt3RPbzzcc3sOTcIvT5ozvcVzXAO3+OxsO0hyaqHemjyAnA9evX0bZt2wKX96xcuTICAgJw\n8+bNor6VUaWmpkKSJNjZ2Wk9bmdnByEEUlJSSrhmRET6UY1Hr1q1NpycahR6KIExO0dldS+AwtL1\nHeQtt7TUf9StoeJjiAQxP82a5eLvv1Pg6iofZvTTTzZISJD0Xibf2O2kNLXD0pSMFNWQJsNxYshp\nzGn1OVrVaQNL6b84JmcmY/ftnajMOQSlWpHnANjY2MCyEBtg6NqExtQKGrNW1FVSLS1Lbo3iskgV\nH8ZJN8ZIP4xTwQqKkaWlldYlIy0trZ7taFoMDg5OyMnJku0/YGlpCQcHJ53XzszMQErKf+OjK1Wq\nDFtb7UNZDMnYbUlXnDXPyz8+hWVlZafzJldhaYvR83/eY2MzceMGMGdOPB4/Tld/f+fPW+C776yx\nYEEmqlWTv6Yo7aQwjH395+XXloz5+1aSGldvjMbVG2O83wQkZSRi3+0/setWGPbd/hOB9TvA3jb/\nNsd/u/VjrPgUuVfu5uaG8PBwpKamwt5e9/qk8fHxOHjwIBo1alTUtzIqe3t7CCGQlpam9bjqCYGD\ng0OhruvoaJh/bMs7xqlgjJF+GKeC6YqRrW0tREdHIyfPrqxWVlaoU6cWKlasWMx3tYejox0ePXqE\nnJwcWFlZoXr16jqvm5aWhgcP4mV1ycnJwosvvmiAuujHWG1JV5xr1KiBlJQUveJjKGlpaXp/J9ro\nilFaWhqsrB7izz/vw9JSICPjv+9v3To7REYCL71kpZE0FLadFJ6xr6+dtjgZ9/fNNKrAHmNqj8IY\n/1HIUmYhKT0JVSrp7hvmilwM3DAQHVw6YIDHAFR3rF6CtSWgGAnAoEGDMGXKFAwZMgTvvPMOfHx8\n4OzsDEmSkJqaigcPHuDgwYP49ddf8eTJEwwaNKjgi5pA/fr1AQD37t3Tevzu3bsAABcXl0Jd98mT\ndCiV3NhCF0tLCzg62jFO+WCM9MM4FUyfGDk5OWvcdc/MFMjMTDVIHRwc/rvlm991ExIeyDpGAJCT\nk4N79+JQrVpNg9RFl5JoS9riLEm2cHD4b0iOIeOuTWZmBpKSHsruhqempqJKlRoFPmkpKEaq7882\nzwijnJwc3L0bh717X8Lrr+fg6dP/lhd98gR47z1bfPxxFlxdhd7tpKiMfX2VguJk7N83U7NBJSQl\n6f4sx2OPYtPlTdh0eRMm7J6AwBc7YoDbQHRt0AP21obf9KosU7UlQytyAvDaa6/h3LlzWLNmDSZN\nmqQuf37ZMyEEBg4ciD59+hSvpkbStGlTWFtb49SpU1qPR0ZGwtbWFl5eXoW6rlKZy53t9MA4FYwx\n0g/jVLD8YmRpaYPKlZ1lZaaIp1KpfQURpTKnxOpjzLZUGuL89GmyrPMPAEqlEk+fJuu9UZyuGOn6\n/oTIwV9/pSIrC8ib34WGWmP7dkvMnZuLnJyiDbktzXTFqTS0A1Paf2e/+v/n5OZg7+3d2Ht7Nypa\nVURXlx7o33gg2tfrCMtyNleoNCnWwKIZM2Zg6dKlaNOmjXqybG5uLoQQqFSpEgICArB06VLMnTvX\nUPU1OEdHR3Tt2hW3b9/GgQMHZMd2796NmJgY9OrVK99hTkREZBilabJmeWWqSd82NkClSvLyPXus\n0KlTDmrVynvjEPjwQ1ucPs2x4eXVhy0+xuHXj2FKqymoU6muujwtJw2br23A+4cmcl8BIyv2zNyA\ngAAEBAQAAJKSkpCZmQk7OzuTb5p179499dr9QggkJT3b3e7w4cPqlYvq1q0LT09PTJ06FZGRkXj/\n/fcREhICV1dXXLt2DatXr0b9+vUxefJkk30OIiJzom0H2+IsW2lIpWHzJkMwZpJV2O9vzZp0JCbK\nO3qnTllg1SobdO1afteTLy9tqagkSYKXc1O82tgfH/rOxJHoI9h0bT223diKx5nJ6NuoPywkJoDG\nJImiLnNTym3ZsgXTp0/PN4PMu0NxfHw8Fi1ahMOHDyMhIQHOzs4IDAzE2LFjC1zqVJukpFSzepxX\nWFZWFqhSxZ5xygdjpB/GqWBlLUam6hzlFydtO8laWFiWyR2Ni/NZ9GlLhfn+tJ07Z44jdu+2wsmT\nqbINxhYvtoanZy4CAkr/cpnm0paKQ1uMMpWZOBC9D25V3NDAqaHO1+aKZ6NNzGGIkCpOhqZXArB1\n61a4urrKxsFv3bq10G9WWucBGENZ+UNrKmWtQ2IKjJF+GKeCMUa65e2AWlo+W4klM1NoxCk5+SEy\nM9M1Xv9sXX39xs0bqp6GSIqKej1DtiVdHWEHB2fcv18BLi7/dU9HnxkrAAAgAElEQVQSE4GmTSth\n2rRMvPtudqm/g55fnEzdlgypON9DcdrSn7d3Y3r4FIzwGInXFcPhXNG54BeVUcZKAPQaAjRt2jQE\nBwfLEoBp06YVenyWOSUARERUemVnZ+Lp0yRkZ2fmKctCdHQ0nJycYWlpIzvflJs3aesoZ2dnFeuO\nsWqDMvl7PCzRDrWuHXEzMh7DxUX+3tu2WUMIYNCgHFk89uxxhJWVQKdO8WXmDnp52AgMME671NfP\nF1ci+ukdfHpiNr48+Rl6NuiFEM/ReKV2K84d0JNeCUDfvn3RtGlTWVmfPn0YZCIiKnO0dVxUcnJy\nkJLyWGOFFlNOTtbVUU5NfWyQO8am6sgVpiM8YkQ2fH2VcHYWSE5+Fg8hgB9+qAkvr3R06PDUYPEo\njKLcAS8vE92N3S51ycnNgRACEiQICGTnZmPL9U3Ycn0T3KooEOwxCgPdXocjdyLOl14JgGqcfF7z\n5883eGWIiIiMTVvHJS9tx0w5OdnYd4xN1ZErTEfYwgLw8spV1w0ATp+uiOhoW8yZEysrj4qywK1b\nFujXL0c2h8DQ8kucrKx0r9temie6F4apnmRYWVjht54bcfvxLfxyaRV+v/wrEjISAABXk67goyNT\n8STrCSb7TTVqPcq6Iv9q7NixA5GRkYasCxERkdEV1EHR1gF9NmTGGba2drC2tvl3vHbJDDkx9h1j\nU3Xk7O0ra3wGfTrCqtd4e6fh559vwtc3TVa+aJENFi60gbEHKeSXOOXHlG3JkEz9JOOlyi6Y5T8X\nZ4Ov4H8dV+Dl2v4AniUIQ5uMKJE6lGVFXgZ0xowZCAoKgp+fnyHrQ0REZFT5dVCsrKxQqZL2Dujz\n4+ZLirHvGJuqI6fqCBd2CI0qHoBS1vm3t6+Mhw8l7NljhblzM2UJQFychEOHLNGnTw4q5L/Zsd6K\nkziZqi0ZUml5kmFraYugxgMR1HggLidcQtSDU6hpX6tE61AWFTkB8PDwwKVLlwxZFyIiIqPT1nEB\nnnXK6tWrq3UVIFMqakdZX8bqyOkzPr4oHeH84uHsLLBpUzrc3eXf7dq11li40AY9eqQYLAEw9R1w\nUzN2uyyKJtXc0aSae4Hnbbu+Ba++0A5OFaqUQK1KpyIPAfrss8+QmZmJiRMn4syZMyin2wkQEVE5\no20IRtWqtVCjRh1UrFjR1NXTStVRrlq1Npycahi0k2WMISmq8fGZmenIzs5CZmY6kpPjZasuFb/O\nmvGQJMDfX4m8e5Eqlc8SgL59s+Hg8F95Tg6wbp0VUlKKVoeiDmEyBtUqTomJ95Gc/NBgcS6IMdul\nsVxL+gdv7g2B968emH1sBuJS75u6SiZR5CcAc+fOhZOTE06cOIG9e/fC0tISTk5OsLfXvVbpnj17\nivp2REREBlPQnefSvs68oRl6SIqpJhZrY2EBLFuWjipV5Dcq//zTChMm2MHDI1U9wTivgtqAoe6A\nF7etmXI5zrJo8ZnvISCQmp2CH8/+gBXnl2Cg2+sY5z0Brk6NTF29ElPkBODYsWOyn3NycvDo0SM8\nevRI6/lcMpSIiMqCzMyMctuhKqnEpjStdS9JgJ+fZgd/zRpreHsrNTr/u3ZZ4eWX06BUFtwGips4\nGaLzXpqSrdJM1fZHNgwGlEpsurkJmcpMZOVmYc3l1Vh7+Rf0dO2NCd6T0KyGt6mra3RFTgB++eUX\nQ9aDiIioVEhJKZ8dqpK8U1wWxsdPmZKJjAz5zcnbtyUEB9th/vyn6NHD+G3AEJ330pRslVZ5234t\n25qY3nQ63lK8jQ0xm7D60io8zXoCAYHtN7bCSrLE0s6rTF1loytyAtCyZUtD1oOIiKhUKK8dqpK8\nU1xaVojJT/Pmmk8FfvvNGo6OAl26yJfyPHOmIho0yED16oZtA4Zoa2Uh2TI1bW2/qk0VTHAfj/d8\nP8DqS6uw5OwixKc/xLve75moliXLiFtkEBERlT3ltUNVkolNWV3rvk+fHHzzTQbs7f/rHmVlSZg4\n8UUsX17D4G3AEG2tNE1GLq3ya/uOtpUx3vs9RA3/G792D4WXc7MSrp1pFPoJwNatW7Fp0yZcuXIF\nmZmZqF27Ntq3b4833ngDzs7OBV+AiIioFKtUqTKysjJL9d3roijpxKYsrnXv7p4Ld/dcZGf/9wTj\nwAEHJCVZISjosawNXL1qgerVBapV+29ysWqcuRC5ePrUFjY29rC0tNH5foZ4UlIal+MsbfRp+xWs\nKqDLS91KqkomV6gEYPr06di6datsyc87d+5g9erV2L59O1atWoXGjRsbvJJEREQlxda2QrnsUJWF\nYTmlRd5OtZeXEh999Ai+vvI2MGWKLSpUANavTwegOcciKysTlpapqFxZ95MPQ3Xey2KyVZLY9jXp\nnQDs2bMHW7ZsgYODA9555x34+fnBwcEB0dHR+P3333Ho0CFMmjQJ27dvh4UFRxYREVHZVR47VLxT\nXDiqNuDjA/j4yI/9848FTpywwtKl6eqy1NTHePBAgoWFJapVe9bRVCoLnmNRHttaacO2r0nvBGDD\nhg2wsLDAypUr0bRpU3W5i4sLAgIC8OGHH2Lbtm04duwY2rRpY5TKEhERUdGxs2kYDg4C772Xie7d\nc9RlublKLF/ujIMHHbBnzz9Q3Qst65PHywu2fTm9b9VfvHgRvr6+ss5/XiNHjoQQAhcuXDBY5YiI\niIhKm9q1BT76KAu2eW4gZ2ZaYccOJ/To8Rh5B0JkZlrhwQPuhUSli94JwOPHj+Hi4qLzeIMGDQAA\nT548KX6tiIiIyCw9G0v/EImJ95Gc/BDZ2ZmmrpJerK0rY+DAJAQFJanLLC0tsXevM3x97ZGYaMLK\nET1H7yFAubm5sLOz03ncxsZGfR4RERFRYZXkZmWGVr26DebOzURqqiWEsEWFCs9WAfrtt4po21aJ\nqlX/O1cI4OFDCTVrCt0XJDIiztYlIiKiUiG/zcrKAtU4c2fnOnjxxRdhaVkB7dvnYMyYLNl5Z85Y\noFkze5w+zW4YmUaRdwImIiKikqdaa748rmZS3nZhtrICpk2Td/6zszOxcqUNatbMQf36ccjO/u/7\nS04GnJxMUVMyN4VKPSWp4Eks+pxDREREhacaIpOZmY7s7CxkZqYjOTm+zIyTL0h53YVZRfX9vfhi\nKkaOjEdOzn/f3+PHQPPmlbBpE+/NkvEVqpX98ssvWLNmjc7jkiTle87ff/9duNoRERGRWn5DZMrD\nEoflfcMm1fcXEpKgLlN9f5s21UVWFtCmjfK51wD29iVdUyrvCpUA5ObmFjjJVwjBicBERERGUN6G\nyDyvvG/YlN/3Z28vMHJktmxisBBAly4V0a9fDiZPztL6WqKi0DsB2L9/vzHrQURERAUo70NkgPK9\nYVN+39/gwTkYPDhHVh4RYYl//rFEixbyIV5ZWcC/iy8SFYneCUDdunWNWQ8iIiIqQHkfIlPeFfb7\nS0kBAgNz0Lq1/MnBu+9WgJ0d8P33GUatL5VfXH+KiIiojFANkbG1tYO1tQ1sbe3KxBr59Exhv7+O\nHZVYty5dtrPwo0cSwsKs0KTJ83NBjFlzKm841ZyIiKgMKc9DZMxBcb+/2FgJCkUuBg7MlpX/8IMN\nwsMtsXFjOrggIxWETwCIiIiIyohmzXKxf3+abGfh3FxgzRpr1K0rZJ1/wY2GSQcmAERERERl2MOH\nEuztBYYNk68UtG+fJTp1qojkZBNVjEotDgEiIiIiKsNq1RI4dChNo/zXX62hVAKVOUecnsMnAERE\nRERlnCRBNvwnOxuIj7fAsGHZsvKYGAkdOlTEP/+wC2jO+ASAiIiIqJyxtgZ27UrTWB3ot9+scfOm\nBerU4bJB5ozpHxEREVE5ZfFcT+/KFQv065eNSpX+K8vOBoKC7HD0aPnZUI7yxycARERERGZi1aoM\nZMnnCmPPHiuEh1th3rxM7S+icodPAIiIiIjMiI2N/OdTpyzh66uEu7t8WNDkybbYto33issjfqtE\nREREZmzOnEykpsrLbt6UsGaNDfz9001TKTIqPgEgIiIiMnP29vKfDx+2QpUqAj175sjKFy2yxs8/\nW5dgzcgYmAAQERERkczIkdk4cSIFdnb/lWVkAAsX2uL2bXYfyzp+g0RERESkoUoV+c8REZZITgaG\nD5fPIt650wrffWcDIUqwclQsTACIiIiIqEABAUqcO5cKV1d5T3/xYhscP24p23CMSjcmAERERESk\nl1q15J3/u3clREVZYPjwbFn5pUsW+PJLG43JxVQ6MAEgIiIioiJ54QWBU6dS0aWLfLLwzz9bY+1a\na9jamqhilC8mAERERERUZPXqCdneAllZwNat1hgyJBtWeRacf/oU+OILG8THc6yQqXEfACIiIiIy\nGBsb4PDhVFg/t1ropk3W+P57G4SEZGt/IZUYPgEgIiIiIoOqXVugenX5fIF166zRuXMOatf+r1wI\nYOFCG0RH86lASeITgDyUSiVWrVqFbdu24c6dO7C0tISHhwdGjhyJwMBAU1ePiIiIqMxavTpdY1Lw\nqVMWmDfPFh4eSrz4otI0FTNDfAKQx6RJk7BgwQK4uLhgzpw5mDZtGjIyMjB27FiEhoaaunpERERE\nZVbNmgINGsifCvz6qxXq1ctFu3byzv/69Va4do3dVGPhE4B/7du3D3v37kWvXr3w1Vdfqct79+6N\nXr16Yf78+ejcuTOqPL8rBhEREREVySefZOH6dcAiT18/MRF4//0K+PDDTDRqlGu6ypVjTK3+tXHj\nRkiShJCQEFm5ra0tBg0ahIyMDISFhZmmckRERETlUPXqgJ+fvJO/YYM1cnOBQYPkS4v+9ZclLl1i\n19UQGMV/nTt3Dra2tnB3d9c45uPjAyEEzpw5Y4KaEREREZmPgQOz8fPP6XB2lk8Wnjq1AhYutMnn\nlaQvJgAAUlNTkZSUhJo1a2o9Xrt2bQBAdHR0SVaLiIiIyOxUqQJ06iSfE3DsmCVu3tS+4/D58+zO\nFhbnAOBZAgAAFStW1HpcVZ6SklJidSIiIiKiZ7y8lPjhh3T4+8sTgwULbHDjhgUOHUqDxJVE9cYE\nAIBUQIsRQuR7XBtLS2aj+VHFh3HSjTHSD+NUMMZIP4xTwRgj/TBOBStsjKpWBYYNy0XewSsPHwK7\nd1th3rwsWFvLy6OjLeDrm1vmkwJjtSEmAAAqVaoEAEhLS9N6XPWEwMHBQe9rOjraFb9iZoBxKhhj\npB/GqWCMkX4Yp4IxRvphnApWnBjZ2ACLFwP9+9uiShVbdfnixcAXXwBxcUAhum5mhQkAADs7O1Sv\nXh1xcXEQQmg8Ebh79y4AwMXFRe9rPnmSDqWSS1fpYmlpAUdHO8YpH4yRfhingjFG+mGcCsYY6Ydx\nKpihYjRgwLP/TUp69r+5ucCyZXbo21eJnJwsdXlODhAVZYGWLcvWUwFVnAyNCcC/fH19sXfvXpw7\ndw7NmzeXHYuIiIAkSWjRooXe11Mqc5GTw1/6gjBOBWOM9MM4FYwx0g/jVDDGSD+MU8EMHaPsbOCD\nDzLRtKn8urt3W2LECDscOpQKd3d+Jxyc9q/BgwdDCIGVK1fKyp8+fYr169fDyckJ3bp1M1HtiIiI\niKgg1tbA66/nwMND3slfs8YGzZsrNTr/Fy5YoAhTPcs8PgH4l7+/P/r3749NmzZh7Nix6Ny5M1JT\nU7Fu3TokJibiu+++g729vamrSURERESF1LdvNhwc5D39O3ckdOhgj2XL0tGnT46OV5ZPTADy+PTT\nT+Hu7o4NGzZg9uzZsLGxQbNmzfDJJ5/Az8/P1NUjIiIioiIICtLs4P/2mzUcHQU6d5Yfu3lTwksv\nCViU43EyTACeM2TIEAwZMsTU1SAiIiIiI/L1VaJGjUzk3QYqMxPo0aMiRo7MxtSpWaarnJExASAi\nIiIis9O5sxKAfGOx3butkJBgUe6HBJXjhxtERERERPqrWVPgnXey0Lhx+V4piE8AiIiIiIgAvPKK\nEq+8oiz4xDKOTwCIiIiIiMwIEwAiIiIiIjPCBICIiIiIyIwwASAiIiIiMiNMAIiIiIiIzAgTACIi\nIiIiM8IEgIiIiIjIjDABICIiIiIyI0wAiIiIiIjMCBMAIiIiIiIzwgSAiIiIiMiMMAEgIiIiIjIj\nTACIiIiIiMwIEwAiIiIiIjPCBICIiIiIyIwwASAiIiIiMiNMAIiIiIiIzAgTACIiIiIiM8IEgIiI\niIjIjDABICIiIiIyI0wAiIiIiIjMCBMAIiIiIiIzwgSAiIiIiMiMMAEgIiIiIjIjTACIiIiIiMwI\nEwAiIiIiIjPCBICIiIiIyIwwASAiIiIiMiNMAIiIiIiIzAgTACIiIiIiM8IEgIiIiIjIjDABICIi\nIiIyI0wAiIiIiIjMCBMAIiIiIiIzwgSAiIiIiMiMMAEgIiIiIjIjTACIiIiIiMwIEwAiIiIiIjPC\nBICIiIiIyIwwASAiIiIiMiNMAIiIiIiIzAgTACIiIiIiM8IEgIiIiIjIjJT7BODcuXPo0qULFAoF\ntm7dqvO8tLQ0fPfdd+jatSu8vLzQsmVLvPnmm4iMjCzB2hIRERERGVe5TQBycnLw3XffYciQIXj0\n6BEkScr33FGjRmH58uVo0aIFPv/8c0yYMAF3795FSEgIDh8+XII1JyIiIiIyHitTV8BYPv74Y+za\ntQtTpkzB06dP8eOPP+o8d82aNTh79izeeecdTJw4UV3evXt3dOvWDTNnzsTBgwdhaWlZElUnIiIi\nIjKacvsEoFq1ali/fj1CQkLyvfsPAJs2bYKFhQVGjBghK69atSp69uyJ+Ph4/PXXX8asLhERERFR\niSi3CcDUqVOhUCgKPC8tLQ3Xr19H/fr1UaVKFY3jPj4+EELgzJkzxqgmEREREVGJKrcJgL7u3r0L\nIQTq1Kmj9Xjt2rUBANHR0SVZLSIiIiIioygTcwAWLlxY4DAeABgxYgQcHR0Lde3U1FQAgJ2dndbj\nFStWBACkpKQU6rpERERERKVRmUgAFi9erFcC0Lt370InAAVdVwhRqOupWFqa/cOVfKniwzjpxhjp\nh3EqGGOkH8apYIyRfhingjFG+jFWfMpEAnDlyhWjXbtSpUoAns0F0Eb1hMDBwaFQ13V01P5EgeQY\np4IxRvphnArGGOmHcSoYY6QfxqlgjJFpmH3a9cILL8DCwgKxsbFaj9+9excA4OLiUpLVIiIiIiIy\nCrNPACpUqAB3d3dER0cjPj5e43hERAQkSUKLFi1MUDsiIiIiIsMy+wQAAAYNGgQhBFauXCkrj42N\nxe7du/HSSy/B39/fRLUjIiIiIjKcMjEHoLAyMjJw+PBh9c/Xr1+HEAIXLlxQr/ZjZ2eHV199FQDQ\nv39/7N69G6tXr8bjx4/h7++PxMRErF69GgDwxRdflPyHICIiIiIyAkkUdZmbUiw2NhYdOnTId4Wf\nOnXqYP/+/eqfs7OzsXLlSmzfvh0xMTGwt7dHixYtMG7cOLi5uZVEtYmIiIiIjK5cJgBERERERKQd\n5wAQEREREZkRJgBERERERGaECQARERERkRlhAkBEREREZEaYABARERERmZFyuQ9AaXDy5EmMGDFC\n53FJkrBz5064uLiUYK1MT6lUYtWqVdi2bRvu3LkDS0tLeHh4YOTIkQgMDDR19Uxu0aJFWLRokc7j\n1atXx5EjR0qwRqXH5s2b8dlnnyE1NRUHDhxAnTp1NM65e/cuFi1ahGPHjiExMRFVqlRBmzZt8O67\n76Ju3bomqHXJKihGgYGBuHfvns7XjxkzBpMnTzZ2NU0iJSUFy5cvx65du3Dv3j3Y2NigcePG6N+/\nP/r3769xvrm2pcLEyZzbU2xsLFatWoWjR4/i/v37sLS0RKNGjdCrVy8MHjwYFhb/3V8117akb4zM\nuR097+jRo3jjjTcgSRIuX74sO2bodsQEwMi6deuGbt26aT1Ws2bNEq6N6U2aNAl79+5Fly5dMGrU\nKGRlZWHDhg0YO3Ys5syZg0GDBpm6iiYnSRLGjx+Phg0bahyztbU1QY1MKzExETNnzsTBgwdRoUIF\nnft7xMTEYODAgcjOzkZISAhcXFxw+/ZtrFq1CuHh4diwYQNq165dwrUvGfrGCACqVauG2bNnQ9sK\n0A0aNDBmNU3mwYMHGDx4MOLj49G3b1/4+vriyZMnCA0NxYwZM3Dz5k1MnTpVfb65tqXCxgkwz/Z0\n9epVjBgxAkqlEq+//joaNWqEpKQkbNy4EXPnzsX58+cxf/58AObblgoTI8A829HzUlNTMXPmTK3/\nfhulHQkyioiICOHm5iYWLlxo6qqUGn/++adwc3MTU6ZMkZVnZGSIzp07i+bNm4vExEQT1a50WLhw\noVAoFOLkyZOmrkqp0a5dO9G2bVtx5MgRMWzYMKFQKERsbKzGee+8845QKBTi2LFjsvKjR48KNzc3\nMXHixJKqconTN0bt27cXgYGBJqihac2cOVMoFAqxZs0aWfmTJ09Eq1athIeHh0hISFCXm2tbKmyc\nzLU9vf7660KhUIioqChZ+dOnT0WbNm2EQqEQ0dHRQgjzbUuFiZG5tqPnzZw5U3h7e4tu3boJhUIh\nO2aMdsQ5AFRiNm7cCEmSEBISIiu3tbXFoEGDkJGRgbCwMNNUjkotHx8fbNu2Da1bt9Z5TmJiIg4f\nPoxGjRrB399fdqxVq1Zo1KgR9u3bh8ePHxu7uiahT4zMWY0aNdC5c2cEBQXJyh0cHODj4wOlUol/\n/vkHgHm3pcLEyZx1794dU6ZMgY+Pj6y8UqVK6rLY2Fizbkv6xoieOX78ODZs2IC3334b1apVkx0z\nVjtiAlBChBBIT083dTVM6ty5c7C1tYW7u7vGMR8fHwghcObMGRPUrPTKyclBVlaWqathUt988w2c\nnJzyPefChQtQKpXw9vbWetzb2xtKpRIXLlwwRhVNTp8YaZORkYHc3Fwj1Kh0effdd/H999+jQoUK\nGseePn0K4FknFzDvtlSYOGljLu1p2LBhGDVqlEa5EAK3b9+GlZUVXF1dzbot6RsjbcylHamkpaXh\n448/hoeHB0aPHq1x3FjtiHMAjOzy5csYPXo0IiIikJ2dDXt7e7Rr1w6TJk3CCy+8YOrqlZjU1FQk\nJSWhfv36Wo+rxq5FR0eXZLVKJSEEdu/ejc8//xxXrlyBEAI1atTAa6+9hvHjx2v942zuYmJiAEDr\nxOC85WxfQGZmJubPn48//vgDSUlJsLCwgIeHB8aMGYNOnTqZunol6urVqzh16hQaNWoEDw8PAGxL\n2miLk4q5t6fU1FRkZmbixo0bWLFiBW7cuIHp06fD2dmZbelf+cVIxZzb0ddff434+HgsWbJENnlc\nxVjtiAmAnhYuXJjvxDqVESNGwNHRUf3zsWPHMGjQIAwbNgxpaWnYv38/wsLCcPz4cWzcuFHnF1re\npKamAgAqVqyo9biqPCUlpcTqVFpJkoR9+/Zh+PDhmDx5MuLi4rBhwwasXLkSp0+fxpo1a2BpaWnq\napYqqampkCQJdnZ2Wo/b2dlBCMH2BSAhIQHXrl3DtGnT4OTkhEuXLuGnn37C+PHjMXPmTAwdOtTU\nVSwR9+/fx7hx42BpaYnZs2ery9mW5HTFScXc29PQoUNx5coVAECjRo2wYsUKvPLKKwDYllTyi5GK\nubajiIgIrFu3DuPGjUPjxo21nmOsdsQEQE+LFy/WKwHo3bs3HB0d0bhxYyxduhQNGjRAvXr11Me7\nd++OunXrYtmyZfjhhx9ks+DLs4JiJ7TM/DdHr732Gry8vODj4yN71N6/f38MGzYMp0+fxh9//IF+\n/fqZsJalD9uXfr744gtIkoSWLVuqywICAtCxY0f069cP3377LXr37o1KlSqZsJbGd+7cOYwbNw5P\nnjzBt99+KxunzLb0n/ziBLA9AcBnn32Gx48fIyYmBtu2bcMbb7yBMWPGYOLEiWxL/9IWozfffBPv\nvfceAPNtRxkZGfj444/RuHFjvP322zrPM1Y7YgKgJ1X2qi8nJycEBARoPTZ69GgsW7YM4eHhhqha\nmaD6xU1LS9N6XPWEIL/xpeagfv36WodJSZKEkSNHIioqCuHh4UwAnmNvbw8hRL7tS5Iks29fL7/8\nstbyRo0aoW3btjh48CBOnz6NV199tYRrVnK2bduGmTNnomLFivjpp5/g5+cnO8629ExBcQLYngDI\nhkQNHDgQ48ePx5IlS+Dp6cm29C9tMVq6dCm8vLzQoUMHs21HCxYsQFxcHEJDQ2Flpbs7bqx2xEnA\nJuDo6AhbW1v1pCpzYGdnh+rVqyMuLk5rtnr37l0AMLuN0QpDNV7SnNqNvlRJk67NZNi+CqZqX+V5\nOMLKlSsxdepUvPTSS9i4caPWTi3bkn5xKog5tKfnSZKEAQMGQAiBw4cPsy1p8XyMClJe21FkZCTW\nrl2LAQMGoHr16njw4AEePHiAuLg4ZGdnA4C6zFjtiAmAkRw/fhy///47cnJyNI7dvXsXmZmZ5XoH\nQG18fX2RlZWFc+fOaRyLiIiAJElo0aKFCWpWOmRlZWHv3r3YuXOn1uPXr18HALNrN/po2rQprK2t\ncerUKa3HIyMjYWtrCy8vrxKuWekRExODrVu36nyaefPmTQDlt32tXbsWX3/9NVq1aoXffvtN5+c0\n97akb5zMtT3dv38f7du311jOWkW1FKMQwmzbUmFiZK7t6MSJEwCAdevWISAgQP1fu3btcPbsWQBQ\n/9ysWTOjtCMmAEaybds2zJkzB6GhoRrHVBOKe/ToYYKamc7gwYMhhMDKlStl5U+fPsX69evh5OSk\nc9dkc2BjY4Ovv/4aU6dO1fjHMD09HStWrIAkSejevbuJalh6OTo6omvXrrh9+zYOHDggO7Z7927E\nxMSgV69esLe3N1ENTS8uLg7Tpk3D7NmzoVQqZceOHz+OU6dOoV69emjatKmJamg8p0+fxueffw5f\nX18sWbIk33Zgzm2pMHEy1/ZUu3ZtWFhY4NSpU4iKitI4vmZYLbEAACAASURBVHnzZvXNLHNtS4WJ\nkbm2o9deew1LlizBkiVLsHTpUtl/jRo1AgAsXboUS5YsgYODg1HakSTMZRZKCcu7pXqPHj3g5+eH\nrKws7NmzBydPnkSzZs2wevVqs1vSccaMGdi0aRPat2+Pzp07IzU1FevWrcOtW7fw3Xfflfvlvgpy\n/PhxjBkzRr05WqNGjfDw4UNs3LgRMTExGDp0KGbMmGHqapaYe/fuqdc2FkJg0aJFuHHjBmbNmoWq\nVasCeHZnyNPTE/Hx8Rg4cCCSk5MREhICV1dXXLt2DatXr0bNmjURGhpapLXyS7vCxOjjjz/G5s2b\noVAo0KtXLzg5OeHixYsIDQ2FtbU1li1bVqThHqVdUFAQLl26hEmTJulcirhhw4bqdcnNtS0VNk7m\n2p6OHDmCcePGwcLCAoMGDYJCocCTJ0+wc+dOnDt3Dr6+vvjll19gYWFhtm2pMDEy13aky/DhwxEZ\nGYnLly+ry4zRjpgAGFFiYiJWrlyJvXv3Ii4uDlZWVnBxcUH37t0xYsQI2NjYmLqKJvHbb79hw4YN\nuHXrFmxsbNCsWTO89dZbZvULnp+rV69i2bJliIiIQHJyMuzt7dGkSRMMHjwYXbt2NXX1StSWLVsw\nffr0fFdB6NOnD7744gsAz/6RXLRoEQ4fPoyEhAQ4OzsjMDAQY8eOVXeGy5vCxEgIgW3btuH333/H\ntWvXkJWVBWdnZ/j7++PNN9/ESy+9VHIVL0EKhaLAlTTGjRuHd999V/2zObalwsbJXNsT8GxI5ooV\nKxAREYFHjx6p/75369YNwcHBsr/v5tiWAP1jZM7tSJvhw4cjKioKly5dkpUbuh0xASAiIiIiMiOc\nA0BEREREZEaYABARERERmREmAEREREREZoQJABERERGRGWECQERERERkRpgAEBERERGZESYARERE\nRERmhAkAEREREZEZYQJARERERGRGmAAQlSHTpk2DQqHA1q1bTV0VKmN+/vlntGnTBp6enpgwYUKR\nrxMYGIgmTZogOTnZgLUzP7GxsVAoFOjQoYPR3kOhUKBJkyZGu35hqT5z3v9++eUXU1er1AoPD9eI\n186dO01dLSonrExdAaLyIDQ0FCtWrMD9+/fx4osvYvLkyejYsaPO8wcNGoSYmBjs3r0bjo6Oer+P\nJEmQJMkQVSYzcvLkScyfPx9WVlbo1q1bqeoUkvEEBweXyn8vKlWqhKCgIACAu7s7AGDhwoVYvHgx\nBgwYgHnz5hXqeocOHcKWLVvw999/49GjR1AqlbC3t4eLiwsCAgIwdOhQ2b+zgYGBuHfvnt7XlyQJ\nly9f1nosKioKQ4cOBQCEhIRg2rRpWs8bNGgQzp07V6j3DA0NRXBwMADg8OHDuHPnjt6vJyoIEwCi\nYtq3bx8++eQT1K9fH7169cKJEyfw3nvvYePGjVAoFBrnb9iwAefPn8fnn39eqM4/6efAgQMYO3Ys\nDhw4gDp16hTrWv/88w969eqFX3/9FS1atDBQDUteeHg4JElCcHAwpkyZotdr5s+fj7179+LAgQNG\nrh0Vl67vavr06SaqUf4qV66sUbei3NwQQuCDDz5AWFgYbGxs0KJFC7Rt2xa5ubm4f/8+Tp48ibNn\nzyI0NBS//vor6tWrBwDo378/Hj9+LLvW+fPncfbsWbi6uqJ169YaddNl06ZN6nN27NiBqVOnwsJC\nc3BFjx490Lx5c1nZ9evXcezYMdSpU0fjhpEkSWjYsKE6TvHx8UwAyKCYABAV0+rVq+Hk5ITNmzfD\n3t4e9+/fR6dOnbB27VqNO1nJycn45ptv4O3tjb59+5qoxuXbpUuXDHbX8+LFi6XyDmphJSYmAgBc\nXFz0fk15+ezmoLx8V0KIQp3/+++/IywsDI0aNcKKFStQs2ZN2fGkpCSMHTsWZ86cwaeffoqlS5cC\nAMaOHatxrf/97384c+YMvLy89E6c0tPT1U9xmzVrhiNHjuCvv/5Cu3btNM4dMWKERtmGDRtw9OhR\nNGjQoNQma1R+cQ4AUTEIIXD+/Hm0bt0a9vb2AIDatWvDw8MDp0+f1jj/m2++QUpKCj755JOSrqrZ\n+Pvvv0vltUwpNzcXAGBlpd89HyGEziEPVLqY83e1c+dOSJKEMWPGaHT+AaBKlSpYsGABrKysEB0d\nrXHXv7h2796NtLQ0tG/fHj169IAQAps3bzboexAZCxMAomJISkpCZmamxlCTOnXq4P79+7Kyc+fO\nYePGjRg6dCjc3NwMXpetW7di6NChaNGiBby8vNC+fXtMmzYNN2/eVJ9z5MgRKBQKjBs3TuP1+/fv\nV08aVN0xzqtdu3bw8PCQ/RG9fPky3n//fbz66qvw9PRE69atMWHCBJw/f17j9aoJzNu3b8emTZsQ\nGBiIZs2a6fXZ/vrrL4wePRr+/v7w9PREmzZtMHz4cGzbtk19zsmTJ6FQKHDo0CEAz8b5Pj9hOikp\nCV9++aX6cbyXlxc6deqEefPmyT6zarLi2rVrAQDDhw+HQqHAokWLZJ9F12RsbZMvc3NzsXbtWgwa\nNAi+vr7w8vJCYGAgJkyYoDVZzI/qc3Tt2hXNmjWDj48P+vbti2XLliEzM1N93pYtW6BQKLBlyxZZ\nvbXdjVRZtGgRmjRpgtTUVHUcmjRponXM9NGjRzF06FD4+vrC29sbQ4cOxalTp7ReNyYmBjNnzkRg\nYCC8vLzwyiuvYPTo0QgPD9f7c6vq069fP2RlZeHrr79Ghw4d4OXlhTZt2uCjjz5CQkKC1tdGRUVh\n3LhxaN26NTw9PeHv748xY8bgyJEjGueq4nTw4EFERkYiODgYLVu2hLe3N4KCghAWFqbxGlV70xYn\nVdvML+7P13X8+PFo27YtPD094ePjg0GDBmHDhg2y8wr6rnRNAta3/eSt+6hRo6BUKrF48WJ06dIF\nTZs2RevWrTF9+nSDd6z1pfqdrVKlis5z6tati9OnT2PXrl2oXLmyQd9/8+bNkCQJ3bt3R8eOHWFr\na4tDhw7hyZMnBn0fImNgAkBUDFlZWQAAW1tbWbmNjY36GPDsLt2cOXNQvXp1jB8/HgCgVCqRnZ1t\nkHp89NFHmDZtGq5evQo/Pz/07t0b1apVw9atWxEUFISzZ88CAPz8/GBtbY0zZ85oXOPUqVPqsavP\nd0jv3r2LuLg4NGnSRP1HdO/evRg4cCB27doFFxcX9OvXD66urti3bx8GDx6ssVqFaozvpUuXMG/e\nPPj4+KB3794FfratW7dizJgxOHnyJJo3b46BAweiZcuWuHr1KqZOnYpvvvkGAFCrVi0EBwern8QE\nBQUhODgYrq6uAIAnT56gf//+WLVqFbKzs9G9e3f07t0bVlZWWLt2LQYPHoyUlBQAzyYpBgcHq+8q\ndunSBcHBweoxvEUZrzxjxgzMmzcPd+7cQbt27TBgwAC4urri4MGDGDFiBA4ePKjXdeLi4hAUFISf\nf/4ZANC1a1cEBATg0aNH+PbbbxESEqJue66urggODkbDhg0BAK1bt0ZwcDC6dOmi8/rNmzdHUFAQ\nhBDqOIwYMQKVKlWSnXf48GGMGzcO1apVQ58+fdCgQQNERUVh9OjRGmOVT58+jT59+mDjxo1wdnZG\n37594eXlhRMnTuDNN9/EypUr9Q0jACA7OxsffPABtm7diqZNm6Jv376wsbHB5s2bMWTIEKSmpsrO\n37JlC4YPH45Dhw6hYcOG6NevH9zd3XHs2DGMHj0av/76q+x81fd75swZjBw5EtnZ2ejatStefvll\nXLlyBe+//z5+//13jXoZYhjO3r17MXz4cBw4cAANGzbEgAEDEBAQgGvXrmHmzJn48ssv1efq+13l\nVZj287wpU6YgNDQULVq0QNeuXZGbm4stW7Zg0qRJxf7cRVG7dm0IIRAaGqp+yqWNjY2Nwd/77t27\niIyMRNWqVdGmTRtUqlQJ7du3R3Z2Nnbs2GHw9yMyOEFERZaUlCTc3NzEggULZOUTJkwQvr6+6p/X\nrFkjFAqF2LFjh0hISBBjxowRHh4eQqFQiKFDh4ro6Gi93m/atGlCoVCILVu2qMv27t0r3NzcxKuv\nviri4uJk5y9fvly4ubmJzp07q8uGDRsmFAqFuHnzpuzcvn37iuHDhwtvb2/xxRdfyI5t2bJF9jmT\nk5OFj4+PcHd3F/v375ede+jQIeHh4SF8fX1FYmKirO5ubm6iZcuW4tChQ3p9XiGE6Ny5s1AoFOLE\niROy8oSEBNGhQwfh6ekpe5/27dsLhUIhYmNjZef/9NNPQqFQiMGDB4ucnBx1uVKpFCNHjhQKhUIs\nX75c9hpVrE6ePCkr1/Y95OXm5iYUCoX657i4OPVnT0pKkp179uxZ4e7uLvr27atHNIR4++23hUKh\nENOmTZOVp6eni379+gmFQiF+/PHHQtX3eXfv3hVubm4iMDBQ45gqvu3btxdnz55Vl+fm5oo33nhD\nKBQK8X//93/q8pycHPVr1qxZI7vWhQsXhK+vr/Dw8BDXr1/Xu14eHh6iZ8+e4unTp7LP37dvX6FQ\nKMT//vc/dXlcXJxo3ry5cHd3F8eOHZNd7/Tp08Ld3V14eXnJfgdVbdXT01Ns2LBB9pqwsDDh5uYm\nWrRoIdLS0jTi8ny7E0KIiIgI4ebmJoYPH67xWZ6Pcc+ePYVCoRBr166Vld+8eVN4eXkJDw8P8fDh\nwwKvI4RmOxSi8O1HVXdvb28RFBQk+8z37t0TzZs3FwqFQq9/w/Kr68KFC4Wbm5uYMWNGgddR2b59\nu3BzcxNubm6id+/eIjQ0VMTHx+v9+rx+/PFH4ebmphEXXb7//nvh5uYmPvvsM3XZwYMHhZubm+jf\nv79e11i/fr1wc3MTo0ePLvDcSZMmCYVCIcLCwvS6NlFB+ASAqBicnJxgZ2eH2NhYWXlMTAzq1q0L\nAEhISMD333+Pli1bokePHpgyZQpOnz6NTz75BF9//TViY2MxceLEItdh3bp1kCQJb731lsY42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"text/plain": [ "" ] }, "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": 51, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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F165dAQCFhYU4cuQIUlJScPjwYZw5cwbnz5/Htm3bIAgCbrrpJtxxxx24dOmS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0kcxbxKz7Zt28AwDPr16xfL00YMjYzViWYX1Y36T/2oD9VNbf0Xj7KZiaSqCliyRIuXX9bCbq9N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\n+ZKnpyd8fX1hbW2NwYMHg8vlIiAgAHPnz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"text/plain": [ "" ] }, "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()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dealing with nonlinear relationships using random forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Decision tree regression" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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IyGpcUabmq3p193TqAd3mJoBeOURyks1vGTEmFKk7t0LblVG7UUfEmFCb34uIiIiswxVl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\n77//Sh3r4sWLSEtLg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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", "X = df[['LSTAT']].values\n", "y = df['MEDV'].values\n", "\n", "tree = DecisionTreeRegressor(max_depth=3)\n", "tree.fit(X, y)\n", "\n", "sort_idx = X.flatten().argsort()\n", "\n", "lin_regplot(X[sort_idx], y[sort_idx], tree)\n", "plt.xlabel('% lower status of the population [LSTAT]')\n", "plt.ylabel('Price in $1000\\'s [MEDV]')\n", "# plt.savefig('./figures/tree_regression.png', dpi=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Random forest regression" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "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=0.4, random_state=1)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MSE train: 1.642, test: 11.052\n", "R^2 train: 0.979, test: 0.878\n" ] } ], "source": [ "from sklearn.ensemble import RandomForestRegressor\n", "\n", "forest = RandomForestRegressor(n_estimators=1000, \n", " criterion='mse', \n", " random_state=1, \n", " n_jobs=-1)\n", "forest.fit(X_train, y_train)\n", "y_train_pred = forest.predict(X_train)\n", "y_test_pred = forest.predict(X_test)\n", "\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": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WUlKMXCEbrl7Gn3dUWVKBEITB09OrM7pKt2iInbkxAegg3eWXo0QigaenV7P/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UqhUEKvr/NZrB3seziYgPdvf9uEtLQMv9EED3myGrfffodP/vRgPkddpdLsTBAEFBcXIydnFBwO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\npRqQtmMA0MmaNWt6nMYDAMuWL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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(y_train_pred, \n", " y_train_pred - y_train, \n", " c='black', \n", " marker='o', \n", " s=35,\n", " alpha=0.5,\n", " label='Training data')\n", "plt.scatter(y_test_pred, \n", " y_test_pred - y_test, \n", " c='lightgreen', \n", " marker='s', \n", " s=35,\n", " alpha=0.7,\n", " label='Test data')\n", "\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": "markdown", "metadata": { "collapsed": true }, "source": [ "# Residual Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When using a regression to fit a model to our data, the assumptions of regression analysis myst be satisfied in order to ensure good parameter estimates and accurate fit statistics. We would like parameters to be:\n", "\n", " unbiased (expected value over different samples is the true value)\n", " consistent (converging to the true value with many samples), and\n", " efficient (minimized variance)\n", "\n", "Below we investigate the ways in which these assumptions can be violated and the effect on the parameters and fit statistics. We'll be using single-variable linear equations for the examples, but the same considerations apply to other models. We'll also assume that our model is correctly specified; that is, that the functional form we chose is valid. We discuss model specification errors along with the assumption violations and other problems that they cause in another notebook." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Rather than focusing on your model construction, it is possible to gain a huge amount of information from your residuals (errors). Your model may be incredibly complex and impossible to analyze, but as long as you have predictions and observed values, you can compute residuals. Once you have your residuals you can perform many statistical tests.\n", "\n", "If your residuals do not follow a given distribution (usually normal, but depends on your model), then you know that something is wrong and you should be concerned with the accuracy of your predictions." ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Residuals not normally distributed\n", "\n", "If the error term is not normally distributed, then our tests of statistical significance will be off. Fortunately, the central limit theorem tells us that, for large enough data samples, the coefficient distributions will be close to normal even if the errors are not. Therefore our analysis will still be valid for large data datasets.\n", "\n", "## Testing for normality\n", "\n", "A good test for normality is the Jarque-Bera test. It has a python implementation at `statsmodels.stats.stattools.jarque_bera` , we will use it frequently in this notebook.\n", "\n", "### Always test for normality!\n", "\n", "It's incredibly easy and can save you a ton of time." ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Import all the libraries we'll be using\n", "import numpy as np\n", "import statsmodels.api as sm\n", "from statsmodels import regression, stats\n", "import statsmodels\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.540410560964\n", "2.17063309416e-05\n" ] } ], "source": [ "residuals = np.random.normal(0, 1, 100)\n", "\n", "_, pvalue, _, _ = statsmodels.stats.stattools.jarque_bera(residuals)\n", "print (pvalue)\n", "\n", "residuals = np.random.poisson(size = 100)\n", "\n", "_, pvalue, _, _ = statsmodels.stats.stattools.jarque_bera(residuals)\n", "print (pvalue)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Heteroskedasticity\n", "\n", "Heteroskedasticity means that the variance of the error terms is not constant across observations. Intuitively, this means that the observations are not uniformly distributed along the regression line. It often occurs in cross-sectional data where the differences in the samples we are measuring lead to differences in the variance." ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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jRozBzs6OiIijBAYuJCLiCN9/Px9vbx9MTEwIDFxImzbteOGFobi41AGKi+03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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Artificially create dataset with constant variance around a line\n", "xs = np.arange(100)\n", "y1 = xs + 3*np.random.randn(100)\n", "\n", "# Get results of linear regression\n", "slr1 = regression.linear_model.OLS(y1, sm.add_constant(xs)).fit()\n", "\n", "# Construct the fit line\n", "fit1 = slr1.params[0] + slr1.params[1]*xs\n", "\n", "# Plot data and regression line\n", "plt.scatter(xs, y1)\n", "plt.plot(xs, fit1)\n", "plt.title('Homoskedastic errors');\n", "plt.legend(['Predicted', 'Observed'])\n", "plt.xlabel('X')\n", "plt.ylabel('Y');" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
OLS Regression Results
Dep. Variable: y R-squared: 0.599
Model: OLS Adj. R-squared: 0.595
Method: Least Squares F-statistic: 146.5
Date: Thu, 19 Jan 2017 Prob (F-statistic): 3.59e-21
Time: 07:52:39 Log-Likelihood: -476.29
No. Observations: 100 AIC: 956.6
Df Residuals: 98 BIC: 961.8
Df Model: 1
Covariance Type: nonrobust
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err t P>|t| [95.0% Conf. Int.]
const -7.8960 5.681 -1.390 0.168 -19.170 3.378
x1 1.2001 0.099 12.105 0.000 1.003 1.397
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Omnibus: 13.400 Durbin-Watson: 1.691
Prob(Omnibus): 0.001 Jarque-Bera (JB): 46.481
Skew: -0.041 Prob(JB): 8.07e-11
Kurtosis: 6.339 Cond. No. 114.
" ], "text/plain": [ "\n", "\"\"\"\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.599\n", "Model: OLS Adj. R-squared: 0.595\n", "Method: Least Squares F-statistic: 146.5\n", "Date: Thu, 19 Jan 2017 Prob (F-statistic): 3.59e-21\n", "Time: 07:52:39 Log-Likelihood: -476.29\n", "No. Observations: 100 AIC: 956.6\n", "Df Residuals: 98 BIC: 961.8\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const -7.8960 5.681 -1.390 0.168 -19.170 3.378\n", "x1 1.2001 0.099 12.105 0.000 1.003 1.397\n", "==============================================================================\n", "Omnibus: 13.400 Durbin-Watson: 1.691\n", "Prob(Omnibus): 0.001 Jarque-Bera (JB): 46.481\n", "Skew: -0.041 Prob(JB): 8.07e-11\n", "Kurtosis: 6.339 Cond. No. 114.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", "\"\"\"" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ExOCPP/7A2rVrsX37dvj7+8PGxqZK11Ce/DoKCwtfaH91xwKqV9eyKvpequg81VH281N3\nnuede9q0aRg/fjzCw8Nx8uRJREVF4cGDBwgODsbu3buxatWqCtuJiKj62MNNRLXKxMQEgHKvb00c\nDwAyMzNr5Jhy8juG6u4mysnviqq7a6mjo4MhQ4bA19cXp0+fxo4dO9C3b1+IooiVK1cqtaHIdevW\nDSEhIfjggw8giiKWLFmChw8fqoxLHtqqc81lp8Wr6K8HZe/yyl25cgWXL1+GIAhYu3Ytxo4dC0tL\nS0XYBoCCgoLnntvKygqenp7w9/fH2bNn8e2338LCwgL379/H4sWLq3wN5ck/f3Xjrq4XrWtNkH//\nPO86yn4fVuVOenlGRkYYOXIkvvvuO/z+++/Ytm0bnJycUFhYiEWLFtVIDYmoFAM3EdUqed/otWvX\nauR4rVq1UswIkZKSUiPHlJOPVd53rk5KSgoEQXhun7eck5MTNm3aBAcHB8hkMrU97D4+PjA2Nsbs\n2bPRsWNHPH78GAsWLFDaRkdHB61btwZQvTqWbRu4c+eO2m3UHU/en62trY0ePXqorM/Ly6vWOPT1\n9TFixAj4+flBFEVcvHhR7ewxVSHva67oegoLCxEeHo7w8PBKz/Gida0J8u+fzMzMCoOvfEwaGhrP\n7bWvCvk850FBQbCwsEBubi7f8ElUgxi4iahWvfXWWxBFEceOHaswWMycORMLFy5EamqqYlnZP8OX\n/9O6q6srRFHEnj171B4vKysLo0aNwqpVqypsmVCnd+/eEEUR4eHhiocuy0pPT1e8JVA+68fNmzfx\n1VdfYfXq1RUeV/4Q3/PuCmtpaWHVqlXQ1dXF6dOnERwcrLRefqd8//79aqdzk8lkGD9+PP79738r\n7owaGRkpAqp8ZpeySkpKcPToUZXl8t7hkpIStefatm2bIsyWre+hQ4fwySefqJ3NAyid8QMo/Tzl\ntSj7OVfls3J1dYWGhgaysrJw5swZlfVnzpzBrFmzMG/evCrNwvEida0JnTt3hqmpKYDSuqkTFhYG\noHTWnedNO1jWpUuXsGjRIgQEBKhdr6Ojg2bNmgGo/K8URFR1DNxEVKtGjBihuKPm4+OjFLoLCgrg\n6+uLEydO4H//+58igADKLRuJiYlKx5w2bRo0NTURGxuLFStWKAW1zMxMeHt748qVK0hOTq50Bomy\nRo8ejWbNmuHevXv4+uuvlQLY06dPMX/+fMhkMnTp0gU9e/YEUPrw3t69exEYGIi9e/eqzP184cIF\nREZGAoBin4rY2Njgs88+gyiKWL16tWLWFACYPHkyDAwMkJqaivnz5yvdvc3OzsZnn32GuLg4nD17\nVqn9wM3NDaIoYufOnUp1lMlkWLlyJR4/fqwyjvbt20NTUxMymQw7duxQ2mfz5s3YvXs3+vXrB1EU\nldpkMjMzERYWhq+++kplxpmSkhKsX78eAGBra6v4fMt+zupmuSmvadOmGDlyJERRxL///W+kp6cr\n1mVkZGDFihUQBAFjxoypUuB+0br+U9ra2nj//fchiiLWrVuncu1HjhxRzKGubq7timhqamLv3r1Y\nt24dTp48qbL+2LFjSEpKgra2Npydnf/xdRBRqXr10GROTg62bt2KsLAwpKWlQUdHB+3bt8eYMWNU\nXgLRr18/pKWlVXis6dOnY86cOUrLwsPDERQUhCtXrqCoqAjW1tZwd3eHp6dnlR58IaLqMzIywrp1\n6zB9+nScO3cOffv2hYODA0RRxLVr1/DkyRPo6+tj9erVSj3HrVu3RtOmTfHo0SNMnDgRVlZWcHFx\nweLFi9G5c2csXrwY33zzDQIDA3HgwAHY2dkhJydH8fPdqlUrfP3119Uaa6NGjfDdd9/hww8/xJ49\ne3Ds2DG0a9cOz549wx9//IH8/Hz83//9n9LdbHNzc8yfPx/ffPMNFi1ahO+//x5t27aFrq4uMjIy\ncO3aNQiCgA8++EDpdfAVmTBhAiIiInD69GnMmTMH//nPf6CtrY3mzZtj9erV+OSTT3D48GGcPn0a\nnTp1Qn5+Pq5evYrc3FyYmppizZo1SsebPHkywsLCcO3aNYwbNw4ODg4wMjLC1atXkZOTg0WLFqn0\nVFtYWGDMmDHYvXs3li9fjv3798PU1BRJSUnIy8vDxo0bcfv2bZw4cQJHjx7FpEmTMHHiRLz33nv4\n73//i7i4OAwdOhTt27eHhYUFCgsLkZKSgocPH6JRo0b497//rTiXoaEhbG1tkZycjE8//RQ//PAD\nbGxsFOFcnc8//xwpKSm4fPkyBg8eDEdHR5SUlODy5csoKChAly5d8PHHH1fpM3/RutaEqVOnIiEh\nAeHh4Rg7dizatm0LMzMz/Pnnn0hNTYUgCPD29q5wDnV17O3t4eXlhYCAAPzrX/+ClZUVrK2toaGh\ngTt37iimQVywYAGaNm1a49dE9KqqN4H73r178PDwQGZmJtzd3dG1a1dkZWVh165dWLx4MW7cuIF5\n8+Yp7dO0aVMsXbpU7dvEys5fCgDBwcH45ptvYG9vj7lz58LQ0BARERFYuXIlEhMTJfnHlKghqO7M\nHeq279KlCw4ePAh/f3+cOnUKly5dQklJCSwtLTF06FB4eXmpvM1QR0cHq1evxrJly3D79m08efJE\naUaS8ePHw8HBAYGBgYiJicHZs2ehra0NGxsbDBw4EFOmTFE7dVxFY5Tr3r07QkNDsXXrVkRFReHi\nxYvQ0tJCmzZtMGDAAEyePFllir0JEybA1tYWe/fuRWxsLBITE1FQUIAmTZpg0KBBGDduHHr16qV2\nLOr4+vrCzc0N165dw9q1azF//nwApTcaQkND4efnh+joaMTExEAQBLRs2RJ9+vSBl5eXSogyMDBA\ncHAwNm7ciGPHjiExMRGNGjVC165dMXPmTOjq6qody+LFi2FiYoIDBw4gJSUFzZo1g4uLC6ZPnw5b\nW1t069YN586dw8mTJ3H9+nWIoggdHR0EBQVh7969CAsLw61bt3Dz5k1oamrCysoKw4cPh6enp8o8\n2StWrMCSJUtw7do1PHz4UOmFLuo+LyMjI+zYsQNBQUE4fPgwEhMTIZPJ0Lp1awwfPhyTJ09WesCz\nMi9S14rGpm6bimhoaGD9+vXYv38/QkJCkJycjFu3bsHExASDBw/GxIkT0b179ypfh9y8efPQo0cP\n7N+/HwkJCYiLi4NMJkOzZs3g5uaGCRMmqMzpTUT/jCBW5d22dcAXX3yBPXv2YPHixUqv183OzsaQ\nIUPw9OlTnDp1Ck2aNAFQ+g+kIAg4fvx4pcd+8OAB+vfvj+bNmyM0NFTpdc1z587FoUOHsGnTJvTp\n06fmL4yIiIiIGrR60ydhbm6OQYMGYfTo0UrLGzVqBGdnZ8hkshd+ivzAgQMoLCyEh4eHUtgGAE9P\nT4iiiL17977w2ImIiIjo1VVvWkpmzZpV4Tr5G7nKvnWrvPz8fOjo6KjtxZbPKqDupQb29vbQ1dWt\n9C1jRERERETq1Js73BVJTk7G+fPn0a5dO9jb2yutKygowLfffgsXFxc4OjqiU6dOGDt2LI4dO6a0\nnXy+1ubNm6scXxAEWFpa4uHDhy88LywRERERvbrqdeBOT0+Ht7c3NDU1sXTpUpX1Dx8+REpKChYs\nWIDNmzdj9uzZuHXrFmbPno3t27crtsvNzQWg/Na1suTzm1b0JjYiIiIioorUm5aS8i5evAhvb29k\nZWVh7dq1KvOF+vr6QhAEpbeg9enTBwMGDMCoUaOwdu1ajBgxAkZGRpU+RV5PnislIiIiojqoXt7h\nDg0NxeTJkyGTyeDv748BAwaobNOzZ0+1rxxu164dXF1dkZeXp+jLlk/hJb/TXZ58+fN6xMtiQCci\nIiIiuXp3h9vPzw+rVq2Cra0tfvzxR1hZWVX7GGZmZgD+bhGxtrZGYmIi0tLSYGFhobStTCZDRkYG\nLC0tFfPRVkYQBGRlPYNMVlLtsVHlNDU1YGyszxpLhPWVHmssLdZXeqyx9Fhjacnr+7LUq8C9fft2\nrFq1Cm+88QbWr1+v9qUVQOlDkBcuXICdnR3s7OxU1stfNSwP687Ozjh06BDOnz+vMlNJbGwsiouL\nq/1yAZmsBMXF/AGREmssLdZXeqyxtFhf6bHG0mONG4Z601ISGxuL5cuXo2vXrti0aVOFYRsAMjIy\nsGDBAixduhQymUxpXXR0NM6fP49WrVrBwcEBADBs2DAYGRnh119/RV5entL2fn5+EAQBHh4eNX9R\nRERERNTg1Zs73MuWLUNJSQn69OmDiIgItdu89tprsLGxQffu3TF69GiEhIRgzJgxcHNzg4mJCRIT\nE7Fr1y4YGBhg+fLlioclGzdujCVLlmDhwoUYP348PDw8oK+vj8OHDyMyMhKTJ09WeSiTiIiIiKgq\n6s2r3e3s7CqdTcTb21vxghxRFBEaGoqdO3ciJSUFhYWFMDMzg4uLC6ZNm4bWrVur7B8dHY0tW7Yg\nISEBMpkMNjY28PDwwJgxY6o93sePc/knIIloaWnA1NSQNZYI6ys91lharK/0WGPpscbSktf3Zak3\ngbu+4Q+IdPiPkLRYX+mxxtJifaXHGkuPNZbWyw7c9aaHm4iIiIioPmLgJiIiIiKSEAM3EREREZGE\nGLiJiIiIiCTEwE1EREREJCEGbiIiIiIiCTFwExERERFJiIGbiIiIiEhCDNxERERERBJi4CYiIiIi\nkhADNxERERGRhBi4iYiIiIgkxMBNRERERCQhBm4iIiKiBi4jIx2urt3h4/OhYpm//xa4unZHWNjB\nWhxZxVxdu2Ps2BG1PYwaoVXbAyAiIiJqKOLiLiiF2rL09PTRsmVL9OrVBx4eE2BoaPSSR6esf/9B\nsLF5DXZ2HV9o/+PHj0FHRxuurn1rdmANEAM3ERERUQ3r1KkzPDwmKr4uKSnBgwcPEB19BoGB2xAe\nfhQ//eQPExOTWhujtXVrWFu3fuH9/f03w96+MwN3FTBwExEREdWwZs3M0adPP5XlY8d6YMOG77Fr\n13b88os/Zs+eUwuj++eysrJw585t2Nt3ru2h1AsM3EREREQvkZubO3bt2o7Y2BgAwLJlS3HkyCFs\n2hSAXbu24/ffozBlyvv4+OPZAIBHjx4iKMgP0dFnkJl5H3p6+njttXYYOXI0+vcfpHTswsJC+Plt\nRnj4UTx+/AjNmplhyJB3MGjQUJVx+PltRmDgNnz++ZcYOnSYYvmff95CQMBWxMVdQFbWU5ibW2Do\n0GHw8JgIPT09+PtvQUDAVgiCgLCwgwgLO4ihQ4fh88+/BADk5eXhl18CcOpUBNLT06CtrQ1r6zZ4\n++1hGDFiNARBUJxLFEVs3x6EgwdDcf9+BkxMTNGnTz9Mnz6zxutemxi4iYiISBJ5+cVIf5Rb28Oo\nVPMmhjDQe3mRSFdXFwAgk8kAAIIgQBAEBAcHoqREhnnzPkfbtm0BAJmZmfjgg0nIz8/HyJGj0aaN\nDZ48eYwjRw5h6dJFuH37T7z//jTFsZcv/wrHj/8XXbt2x6RJnpDJZDh9+hQuX76kMg75ecu6ejUJ\n3t5T0aRJU0yYMAUmJiaIi4uFn99mxMVdwHffbUT//oOgoaEBP7/NcHbuhlGjxsHSsjmA0rA9Y4YX\nUlPvYtiwkejY0R45OTn43/+OY82aFbhyJVERzAFgy5YfERwcCDu7Dhg92gc6OjqIiTmHRYs+q9mi\n1zIGbiIiIqpxefnFmPdTFPIKimt7KJUy0NXCyhlvvLTQHR19BgBgb++gWCaKItLT0+Dn9ws0NTWh\npVU6kdwPP6zBkyePsXlzANq3t1NsP2rUWEydOhlBQX545x03mJtb4Natmzh+/L9o2/Y1rF27ARoa\npccYPfpdfPTRjCqNbc2abyGKwPr1mxUhetCgoRAE4ODB33DqVAT69u2PLl2cAAAWFpbo0+ctxf5B\nQX64efMGfH3X4M03XZXGO3euD44cOQQ3t1Ho1KkzcnJysGvXdpiaNsG6dZuhr68PABgxYhSWL/+q\n2nWtyzgtIBEREVENKy4uRk5OjuK/7Oxs3Lp1E7/+GoyfflqHRo2MMWmSp2J7QRDQv/9AaGpqKpYV\nFBTg1Kn/oV07W7Ro0VLpeM+ePUPfvv0gk8lw9mw0AOD8+bMAgP79ByrCttzw4SMrHXNaWiquXr0C\nR0cnRdhJ/1cCAAAgAElEQVSWmzZtJrZsCYSjY9fnHuPYsSMwNW2CLl2clMabk5OD/v0HQRRFREVF\nAgDi4y+gqKgIb77ZWxG25dzcRlU63vqEd7iJiIioxhnold41flVbSs6cOYWhQ99SWa6hoQEnp674\n6KO5aNHCSmld+a9v3ryJoqIiXL16Re2x5C0haWmpAIDU1LsQBAEtW/6fyrZt29pUOubr11MAAFZW\nrVTWmZqawtTU9Ln75+bmIDPzPgRBUDte+ZjT09MU4wWAVq1Uz1eV8dYnDNxEREQkCQM9Ldi0aFzb\nw6gVXbo4YerUDyGKIoDSoKmrq4sWLVrC2NhY7T4GBgZKX+fmlv6yYm/fCR9+OFtxrPLMzS0AAPn5\nzwD83SNelq6uXqVjzsvLAwDo6OhUuu3z9re0bI5Fi5ZWOF4Tk9Lg/uzZM0VdytPTq3y89QkDNxER\nEVENMzExVfQ5vygjo9IX48hkJVU6ljy4FhYWqKzLy6v8Lw2GhoYAgOzsrOoMU2X//Pz8Ko63NFQX\nFBSqrJP/stFQsIebiIiIqA5q06YNtLW1cfPmdeTk5Kisz87OVsx0AgDNm7eAKIqKVo2y/vgjpdLz\ntW7dtsJtHzzIxMGD+5GYeLnC/Q0MDGFhYYknTx7j9u0/Vdbn5eWhsPDvcN2iRel409JUxytvb2ko\nGLiJiIiI6iAdHR307dsPBQUF2L17h9I6mUyGxYvnYeTIocjKegoA6Nq1OwDgxIljSu0cJSUlCA3d\npzIFYHktW7ZCu3a2+OOPa0hKSlRat3NnMFasWIb09NJ+cfnDnQUFynfTBw4cAlEUERwcqHL8tWtX\nYNiwgbh58wYAoEsXZ2hoaOD06VMoKMhX2nbfvj3PHWt9w5YSIiIiojpq9uxPEB8fh6AgP2RkpKNb\ntx7Izs7CkSOHkZychAkTpsDYuLRPvl07W7z5piuiok7j009no3fvt1BcXISTJyNgbGystqe6/LI5\nc+bjk09m4rPPPoaHxwSYmZnj4sU4HDz4G5yduyletNOihRUEQcDZs1H45ZcAmJiYYvjwkZg06X1E\nRUXiyJFDyM7OQu/eb6GwsBAnT55ATMw59O8/CG3alN5JNzExgbv7WISE7Mbs2R9i0KAh0NLSxtmz\n0SgoyIe29ov1ktdFDNxERERENUjdC2VelJmZGfz8fkFQkD+ioiIRHn4U2trasLFph8WLv1J5g+TS\npcuxZctGREQcR3x8LJo2NcPgwUMxfvxEDB3aT2Vc5b/u1KkzNm8OgL//VuzatQO5uTlo1swMXl7T\n8d57kxXbN2tmhmnTZmLXrmAEBfmhRw8XDB8+EgYGBvjpJz8EBwfh1KkIrF7tCw0NDVhbt8FHH30K\nd/exSufz8ZmDxo0bIyzsIH78cR0aNzZB79598a9/zcK7745EDZWx1gliRY+Q0j/y+HEuiotLansY\nDZKWlgZMTQ1ZY4mwvtJjjaXF+kqPNZYeaywteX1fFvZwExERERFJiIGbiIiIiEhCDNxERERERBJi\n4CYiIiIikhADNxERERGRhBi4iYiIiIgkxMBNRERERCQhBm4iIiIiIgkxcBMRERERSYiBm4iIiIhI\nQgzcREREREQSYuAmIiIiIpIQAzcRERERkYQYuImIiIjqgLCwg3B17Y6AgK21PZQ6Zdas6XB17Y6M\njIzaHsoL06rtARARERE1NJcvJ+DQod9w8WIcHjx4gOLiYpiYmKBjR3v06zcIb73VH4IgqOynbtmr\nThCEel8XBm4iIiKiGlJYWIjVq30RFnYQZmbm6N9/ENq0aQstLW2kp6fi5MkT+PLLhdi5syN8fVej\nWTMzpf1FUaylkZOUGLiJiIiIaoiv778RHn4UQ4cOw9y5C6Gjo6O0fsqUD7Bnz69Yv34tPv10NrZs\nCYSurl4tjZZeFgZuIiIiohpw4cJ5hIcfRceOnbBw4RcVtkGMHeuB1NS7CAnZjV9/3Y4pUz5Q2ebs\n2WgEBm5DcnIyAAH29p0wY8ZstG9vp9gmPz8fu3fvwPHjx3DvXgZksmKYmZmjV6/emDLlAxgaGikd\n87ffQnDoUChu3ryBkhIZLC2bo3fvtzBhwhQYGf297axZ03HxYhx+/XUfVq/2xeXLl/Dppwuwdu1K\n6Oho47ffjkJTU1Pp2Pn5+Rg2bACMjBohJOQQNDQ0qnVOADh9+hQCA7fh5s3r0NXVg5OTM2bO/Kha\nn0FdxcBNREREdV5eXh4CAg7ixo0sdO3aHOPGDYaWVt2KMYcOhUIQBEycOKXSnuNJkzyxb98eHDiw\nXyVwX7lyGaGh+zBu3FgMH+6O5ORk7Nu3Bz4+MxAYuBOWlpYAgC++WIDff4+Cm5s7PDwmQENDAwkJ\nF7Fr1w7ExcVi69YgxTGXL/8KYWEH0bt3X4wYMQqiKOLSpXjs2PEzoqIile60y3umN2z4HmZm5liw\n4AvY2tqhb99+OHLkEGJizqFnTxelMZ86FYGCggKMGjVOEbarc87ff4/CokWfwcTEFJMne8Hc3ALX\nriXj44+9YWCg/88+mDqgbn2nEhEREZWTmpqOiRO3IzFxBgBL7NhxDbt3r8KOHR/BwMCgtoenkJBw\nCQDg7Nyt0m2bNm2GNm1scOPGH7h//x7MzS0U62JizuHnn3fC2bkzHj/OxaBBb8Pc3BwbNnyP3bu3\nw8fnU2RnZyM6+gxcXN7E3LkLFfsOHvw22rRpi5iYc4rj/v57FMLCDuLddydg1qyPFdsOGzYC1tat\nsXnzRuze/SsmTfJUGmNxcRE+//xLpWOHhR3E8eP/VQncx44dgSAIGDp0GABU+5x+fpsgiiK+/XYN\nOnSwBwAMHToM7dvbYvnyr+r9Q5OcFpCIiIjqtK++CkFi4hcASu/symTtERU1Fz/88J/aHVg5jx49\ngL6+vkorR0XkIfvRo4dKy52cuqJNm7ZKywYMGAwAuHAhBgCgoSFAQ0MDt27dVNl/9Oh34eu7RnH8\nY8fCIAgCBg4cgpycHKX/evd+C6IoIioqUmV8gwYNVfra2bkbzMzMERl5EsXFxYrlWVlPERNzDra2\ndopxV+ecOTk5uHo1CS1atFSEbbmBA4dAX7/u/FL1oniHm4iIiOq069f1AGiWW9oEly4V1sZwKiQI\nAkpKqj7LiCiW/LWf8v3PNm1sVLZt2rQZdHR0kJGRBgAwNDTCe+9NxvbtQXj33ZF4/fU34ezcDd27\n90TLlq2U9r158wZEUcTUqZMqHHd6eprK8hYtWqpsN3DgEOzc+QvOno3Gm2+6AgBOnDiG4uJiDB06\n/IXOmZZ2FwDQqlUrle20tLTQqtX/ISUlWe1x6gsGbiIiIqrT9PWLKlherHZ5bWnWzBxpaXfx9OkT\nNG5sUun29+6VvsjFzEx5asCK2mR0dfWQl5er+Ppf//JGp04O2L//P4iOPo2TJ09AFEXY2XXA7Nlz\n4ODgCKC0/10QBPj6roGhoaHaY6vrh1c3jsGD38aOHT/jxIn/KgL3sWNHoa2to7gLX91zPnuW/9f1\n6ardTk+v/s/iwsBNREREddrgwc0QH38FhYUdFcsaNz6MiRMda3FUqhwcuiAt7S7Onv0dgwYNee62\nDx48wJ9/3kKrVv+HJk2aKq0rKMhXu09BQT709JQfIHzzTVe8+aYrioqKcPFiHE6disCBA/vxySfe\n+OWX3WjRwgoGBqWBt2XLVrC2bv3iFwigbVsbtGvXHmfORKKoqAiPHz9CQsJF9O79FoyNjRXbVeec\n8qBdWKj+Lxa5ublql9cn7OEmIiKiOm3WrNGYMeMk2rf/Dk2b7kTnzquwaFEWmjRpDC+vjRg+3B9e\nXhsRH59Uq+McMWI0RFFEcHCAUo+zOsHBgRBFEe7uY1TW3bp1S2VZZuZ9FBYWwsqqpco6ANDW1ka3\nbj0wZ858eHt/hKKiIkWPtI3NawCA+PhYtfs+ffrkuWMtb/Dgt5GXl4ezZ6Nx/PgxAMDbbw9X2qY6\n52zevDkAIDX1rsp2hYWFuHv3drXGVxcxcBMREVGdJggCFi2aiIiIKTh92gXHjk2Ho2NbvP9+HA4e\nnI+zZz/CwYPz8f77cbUauu3tO8HNzR23bt3EkiXzldo/ytq7dxdCQnbD3r4zRo5UDdwxMedw+7Zy\nyDxy5DAAoEeP1wGUzlk9ZsxwREefUdlfT08PoihCW7v0pTsDBw6BKIrYs+dXFBQUKG176FAo3NwG\n4+DB36p8nQMHDoEgCIiOPo1Tp07A1NQUr7/+hso2VT1n48YmsLFphzt3biM5+arKtuX3r4/YUkJE\nRET1gra2Npo2LW2/WLfuBFJT5wOQTxcnIDV1OtatWwF//w61NsY5c+ZDEDQQGhoCD49RGDhwMGxs\n2kFLSwv37mXg1KkIJCdfRbduPbB06XK1vdNdu3bD7NkfYty4sTAxaYakpCvYv38vTExMMXasBwCg\nSxcnlJSU4IsvFmL48BFo184WmpqauHnzBkJCdsPMzBxvvdUfQGlIHzp0GI4cOYQPP3wfbm6joKen\nh0uX4hEWdhDW1q3Rp0+/Kl9jkyZN0a1bT5w69T9kZT3F2LHjFXNvy1X3nO+/PxVLlizAggVz4O4+\nBs2amSE5OQlnzkTC1rYDrl27Wn4Y9Uq9Ctw5OTnYunUrwsLCkJaWBh0dHbRv3x5jxozBmDGqvyHe\nvXsXGzZsQFRUFB49egRTU1P06tULs2bNgpWVlcr24eHhCAoKwpUrV1BUVARra2u4u7vD09NT5RuJ\niIiIak9mpj7+Dttywl/La4+mpibmzl2AYcPcEBq6D9HRZ3DgwG+QyYphatoEHTt2gqfnNMUDh+UJ\ngoCePV3g4TEBgYFbkZycDEEQ0KOHC2bO9FH0ezdq1Ajbtv2MX34JRFRU6Tk0NTVgYWGJoUOHY9Ik\nTxgbN1Yc9/PPv0SnTg44dCgUP/20HsXFRTA3t8S4ceMxceL7aNSokco4nmfw4Ldx/vzvSnNvl1ed\nc/bp0w9ffrkM27cHIijID7q6eujSxQnff/8jtmz5sd7PUiKIolj1+Wtq0b179+Dh4YHMzEy4u7uj\na9euyMrKwq5du3D9+nV4eXlh3rx5iu3v3LmDcePGoaioCJ6enmjTpg1u3bqFgIAA6OnpYc+ePYqe\nIQAIDg7GN998A3t7e4wZMwaGhoaIiIhAWFgY3nnnHaxZs6Za4338OBfFxSU1dv30Ny0tDZiaGrLG\nEmF9pccaS4v1lV5dqLGX10YcPFj2DjcAiBg2bAX8/b1rZUw1qS7UuCGT1/elne+lnekf2rhxIzIy\nMrB48WJMmDBBsdzd3R1DhgzBzz//jKlTp6JJkyYAAF9fXzx58gT+/v5wcfn7bUhOTk7w8vLCihUr\n8P333wMofVJ41apVaN26NXbu3AkdndKeJzc3N2hqauLQoUNwc3NDnz59XuIVExERUUV8fPohLm4L\nUlOnozR0i7Cy2gIfn6q3RhC9LPWmT8Lc3ByDBg3C6NGjlZY3atQIzs7OkMlkuHbtGgDg0aNHOHny\nJNq1a6cUtgHgjTfeQLt27RAeHo6nT58CAA4cOIDCwkJ4eHgowracp6cnRFHE3r17Jbw6IiIiqg5H\nxw4ICHDC8OEr0bPnDxg2bAUCApzg6Fh7/dtEFak3d7hnzZpV4brs7GwAUPQCJSQkQCaTwcnJSe32\nTk5O+OOPP5CQkIBevXohPj5esbw8e3t76OrqIjZW/bQ2REREVDscHTvAz48Bm+q+enOHuyLJyck4\nf/482rVrB3t7ewCl/dsA0KJFC7X7yJfLp9yRb1+2p1tOEARYWlri4cOHyM9XPxE9EREREVFF6nXg\nTk9Ph7e3NzQ1NbF06VLF8tzcXAiCAH199U8q6+vrQxRF5OTkKLYHKn6Vqvw48u2JiIiIiKqq3rSU\nlHfx4kV4e3sjKysLa9euhbOzs2JdZVPZlJ+YpbrbV4WmZr3+XaZOk9eWNZYG6ys91lharK/0WGPp\nscbSetl1rZeBOzQ0FEuWLIGBgQH8/f3RrVs3pfWGhoYQRRF5eXlq95ffAZf3fBsZGSmWy/93+e0B\nqMxR+TzGxrU7D+irgDWWFusrPdZYWqyv9Fhj6bHGDUO9C9x+fn5YtWoVbG1t8eOPP6p9gY21tTUA\nIC0tTe0x7t69CwBo06aNYvvExESkpaXBwsJCaVuZTIaMjAxYWlpCV1e3yuPMynoGmYzzZkpBU1MD\nxsb6rLFEWF/pscbSYn2lxxpLjzWWlry+L0u9Ctzbt2/HqlWr8MYbb2D9+vUwNFQ/YbmDgwO0tbVx\n/vx5tetjYmKgq6uLzp07AwCcnZ1x6NAhnD9/XmWmktjYWBQXF6N79+7VGqtMVsKJ6iXGGkuL9ZUe\naywt1ld6rLH0WOOGod40BsXGxmL58uXo2rUrNm3aVGHYBgBjY2MMGTIEt27dwokTJ5TWHTlyBHfu\n3IGbm5viGMOGDYORkRF+/fVXlTYUPz8/CIIADw+Pmr8oIiIiImrw6s0d7mXLlqGkpAR9+vRBRESE\n2m1ee+012NjYAADmzZuHmJgYfPrpp/D09ISNjQ1SUlIQFBQEa2trzJkzR7Ff48aNsWTJEixcuBDj\nx4+Hh4cH9PX1cfjwYURGRmLy5MlKD2USEREREVWVIL7IFBy1wM7OrtLZRLy9vZVekJOZmYkNGzbg\n5MmTePjwIczMzNCvXz/MnDlT8Qr4sqKjo7FlyxbFi3NsbGzg4eGBMWPGVHu8jx/n8k9AEtHS0oCp\nqSFrLBHWV3qssbRYX+mxxtJjjaUlr+/LUm8Cd33DHxDp8B8habG+0mONpcX6So81lh5rLK2XHbjr\nTQ83EREREVF9xMBNRERERCQhBm4iIiIiIgkxcBMRERERSYiBm4iIiIhIQgzcREREREQSYuAmIiIi\nIpIQAzcRERERkYQYuImIiIiIJMTATUREREQkIQZuIiIiIiIJMXATEREREUmIgZuIiIiISEIM3ERE\nREREEmLgJiIiIiKSEAM3EREREZGEGLiJiIiIiCTEwE1EREREJCEGbiIiIiIiCTFwExERERFJiIGb\niIiIiEhCDNxERERERBJi4CYiIiIikhADNxERERGRhBi4iYiIiIgkxMBNRERERCQhBm4iIiIiIgkx\ncBMRERERSYiBm4iIiIhIQgzcREREREQSYuAmIiIiIpIQAzcRERERkYQYuImIiIiIJMTATUREREQk\nIa3aHgARERHVjvj4JKxbdwKZmfowM3sGH59+cHTsUNvDImpwGLiJiIheQfHxSXj//Tikps4HIAAQ\nERe3BQEBYOgmqmFsKSEiInoFrVt3Aqmp01EatgFAQGrqdKxbd6I2h0XUIDFwExERvYIyM/Xxd9iW\nE/5aTkQ1iYGbiIjoFWRm9gyAWG6p+NdyIqpJDNxERESvIB+ffrCy2oK/Q7cIK6st8PHpV5vDqnHx\n8Unw8tqI4cP94eW1EfHxSbU9JHoF8aFJIiKiV5CjYwcEBADr16/E/ft6DXKWEj4YSnUFAzcREdEr\nytGxA/z8Gm7wLH0wVB62gb8fDF0Bf/+Ge91U97ClhIiIiBokPhhKdQUDNxERETVIfDCU6goGbiIi\nImqQXpUHQ6nuYw83ERERNUivwoOhVD8wcBMREVGD1dAfDKX6gS0lREREREQSYuAmIiIiIpIQAzcR\nERERkYQYuImIiIiIJMTATUREREQkIQZuIiIiIiIJMXATEREREUmIgZuIiIiISEIM3EREREREEmLg\nJiIiIiKSUL18tXtISAiWLVuG3NxcnDhxAi1atFBa369fP6SlpVW4//Tp0zFnzhylZeHh4QgKCsKV\nK1dQVFQEa2truLu7w9PTExoa/L2EiIiIiF5MvQrcjx49wpIlSxAREQE9PT0IglDhtk2bNsXSpUsh\niqLKurZt2yp9HRwcjG+++Qb29vaYO3cuDA0NERERgZUrVyIxMRFr1qyp8WshIiIioldDvQrco0eP\nhkwmw9atW7Fp0ybExMRUuK2enh4GDhxY6TEfPHiAVatWoXXr1ti5cyd0dHQAAG5ubtDU1MShQ4fg\n5uaGPn361Nh1EBEREdGro171Sjg7OyM0NBRvvvlmjR3zwIEDKCwshIeHhyJsy3l6ekIURezdu7fG\nzkdEREREr5Z6dYf7RVs78vPzoaOjo7YXOz4+HgDg5OSkss7e3h66urqIjY19ofMSEREREdWrO9zV\nUVBQgG+//RYuLi5wdHREp06dMHbsWBw7dkxpuzt37gAAmjdvrnIMQRBgaWmJhw8fIj8//6WMm4iI\niIgalnp1h7s6Hj58iJSUFCxYsAAmJia4cuUK/P39MXv2bCxZsgQTJkwAAOTm5gIADAwM1B5HX18f\nAJCTkwM9Pb0qn19Ts8H+LlPr5LVljaXB+kqPNZYW6ys91lh6rLG0XnZdG2Tg9vX1hSAI6NGjh2JZ\nnz59MGDAAIwaNQpr167FiBEjYGRk9NyZTgConeWkKoyN9V9oP6o61lharK/0WGNpsb7SY42lxxo3\nDA0ycPfs2VPt8nbt2sHV1RURERGIjY1F7969YWRkBKD0Trf8f5clvwPeqFGjao0hK+sZZLKSao6c\nqkJTUwPGxvqssURYX+mxxtJifaXHGkuPNZaWvL4vS4MM3M9jZmYGoLRFBACsra2RmJiItLQ0WFhY\nKG0rk8mQkZEBS0tL6OrqVus8MlkJiov5AyIl1lharK/0WGNpsb7SY42lxxo3DA2uMejOnTvYv38/\nrl69qnb9jRs3AABWVlYASqcaFEUR58+fV9k2NjYWxcXF6N69u3QDJiIiIqIGrcEF7oyMDCxYsABL\nly6FTCZTWhcdHY3z58+jVatWcHBwAAAMGzYMRkZG+PXXX5GXl6e0vZ+fHwRBgIeHx0sbPxERERE1\nLPWmpSQtLQ0JCQkASh9kfPz4MQDg5MmTaNKkCYDSu9bdu3fH6NGjERISgjFjxsDNzQ0mJiZITEzE\nrl27YGBggOXLlyselmzcuDGWLFmChQsXYvz48fDw8IC+vj4OHz6MyMhITJ48Gc7OzrVz0URERERU\n7wnii07D8ZLt27cPCxcufO6sIiNHjoSvry9EUURoaCh27tyJlJQUFBYWwszMDC4uLpg2bRpat26t\nsm90dDS2bNmChIQEyGQy2NjYwMPDA2PGjHmh8T5+nMueK4loaWnA1NSQNZYI6ys91lharK/0WGPp\nscbSktf3Zak3gbu+4Q+IdPiPkLRYX+mxxtJifaXHGkuPNZbWyw7cDa6Hm4iIiIioLqk3PdxERERE\nlYmPT8K6dSeQmakPM7Nn8PHpB0fHDrU9LHrFMXATERFRgxAfn4T3349Daup8AAIAEXFxWxAQAIZu\nqlVsKSEiIqIGYd26E0hNnY7SsA0AAlJTp2PduhO1OSwiBm4iIiJqGDIz9fF32JYT/lpOVHvYUkJE\nREQNgpnZMwAilEO3+NfymsVecaoOBm4iIiJqEHx8+iEubkuZthIRVlZb4OPTr0bPw15xqi4GbiIi\nImoQHB07ICAAWL9+Je7f15PsznNpr7g8bAN/94qvgL8/AzepYuAmIiKiBsPRsQP8/KQNvewVp+ri\nQ5NERERE1fB3r3hZ0vSKU8PAwE1ERERUDT4+/WBltQV/h25pesWp4WBLCREREVE1vKxecWo4GLiJ\niIiIqull9IpTw8GWEiIiIiIiCTFwExERERFJiIGbiIiIiEhCDNxERERERBJi4CYiIiIikhADNxER\nERGRhBi4iYiIiIgkxHm4iYiIiCQQH5+EdetOIDNTny/HecUxcBMRERHVsPj4JLz/fhxSU+cDEACI\niIvbgoAAMHS/gthSQkRERFTD1q07gdTU6SgN2wAgIDV1OtatO1Gbw6JawsBNREREVMMyM/Xxd9iW\nE/5aTq8aBm4iIiKiGmZm9gyAWG6p+NdyetUwcBMRERHVMB+ffrCy2oK/Q7cIK6st8PHpV5vDolrC\nhyaJiIiIapijYwcEBADr16/E/ft6nKXkFcfATURERCQBR8cO8PNjwCa2lBARERERSYqBm4iIiIhI\nQgzcREREREQSYg83ERFRHcLXgRM1PAzcREREdQRfB07UMLGlhIiIqI7g68CJGibe4SYiIqoj+Drw\nhq98y9CQIW1w5MhNthA1cAzcREREdcTfrwMvG7r5OvCGQrVl6DLCwv4LmUy1hahbN/vaHSzVKLaU\nEBER1RF8HfjzxccnwctrI4YP94eX10bExyfV9pCqRbVl6Chksk/AFqKGj3e4iYiI6oiG8jpwKWZa\naQgPlKq2DOmBLUSvBgZuIiKiOqS+vw5cqmBcendYfkzg77vBK+DvXz/qpdoylA+2EL0a2FJCRERE\nNUaqmVYawgOlqi1Dg6Gp+R3YQtTw8Q43ERER1RipgnFDeKBUXcvQkCFtcPRo/W4hosoxcBMREVGN\nkSoY+/j0Q1zcljJ3z+vn3WB1LUPjxtXSYOilYeAmIiKiGiNVMK7tB0qleBCUXh0M3ERERFRjpAzG\ntfVAaUOYIYVqFwM3ERER1aj6PtNKeQ1hhhSqXQzcRERERM9R1QdB2XZCFWHgJiIiInqOqjwI+qJt\nJ0XFMsT/8RDFxSV43d4CglA+2FNDwMBNRERE9BxVeRC0um0nf2ZkI/JSGn5PvIe8gmIAQGMjHXRs\n3UTy66GXj4GbiIiIXmmVtYJU5UHQqrSd5Dwrwtkr9xB5MQ237+cobWllZgirZoZSXB7VAQzcRERE\n9MqqaitIZQ+CPq/tJPHmI0ReSkPstQcolpUo1mppaqCbrRl6OTSHnbUpNNhO0mAxcBMREdErq6Zm\nICnfdqLfKBcdXfajkUMnrNkVr7SttUUj9HJojtftLWCop11j10J1FwM3ERFRHcfZL6RTU6+id3Ts\ngK3bRPz4808o1GsCHRM9QDBCdr4MAGCop4XX7S3h6tAc/2fRqGYGT/UGAzcREVEdxpeuSKsmXkV/\n+142Ii+l4/fEB0BzK+j8tVwA0LG1KVy7tIBTu2bQ1tKsuYFTvcLATUREVIfxpSvSetFX0efmyx+A\nTNOirBAAACAASURBVMef97KV1jU11kMvh+Z4s7MlmjWu3p1yapgYuImIiOqwmmp5IPWq8yr6ElHE\n1T8f4/SldFy4lomiYuUHILv+9QBkBz4ASeUwcBMREdVhNdHyQM9X2QwkD5/m40xCOk4npOPB03yl\ndf9nbgTXLi3Qs6MFjPT5ACSpVy8Dd0hICJYtW4bc3FycOHECLVq0UNnm7t272LBhA6KiovDo0SOY\nmpqiV69emDVrFqysrFS2Dw8PR1BQEK5cuYKioiJYW1vD3d0dnp6e0NDQeBmXRUREL0F9ewDxRVse\n6J8pKi5BXEomTl9KR+LNRxDLrDPQ1cLr9hZwdWgBa0s+AEmVq1eB+9GjR1iyZAkiIiKgp6dX4etP\n79y5g3HjxqGoqAienp5o06YNbt26hYCAAERGRmLPnj1o3ry5Yvvg4GB88803sLe3x9y5c2FoaIiI\niAisXLkSiYmJWLNmzcu6RCIiklB9fACxOi0P9M/duZ+jeANkzrMipXUdW5uil0NzdG1vxgcgqVqq\nHLj37dsHd3d3KcdSqdGjR0Mmk2Hr1q3YtGkTYmJi1G7n6+uLJ0+ewN/fHy4uLorlTk5O8PLywooV\nK/D9998DAB48eIBVq1ahdevW2LlzJ3R0Sp8tdnNzg6amJg4dOgQ3t/9n787jo6rO/4F/JvtGSEK2\nSQIhQMjKJIEEBRLUWBEQBCsVpECBUlSgULTFH7Z8W1srKrUWCN8qEiKoFQW+VkAFRBTDImtWdgSy\nTsiQhezb5P7+CDPJZCbJZDI3mZl83q9XX4V77sycebzMPPfMec55Eg899JD4b5CIiERlrgWIXU15\noJ6puV8A+UOmHDlF7Qsg7TFhlBTxo6TwdOO8eTKM3nMl1q5di3nz5uHGjRti9qdTo0ePxr59+zBh\nwoQOzyktLcWxY8cQHByskWwDwPjx4xEcHIwjR47g3r17AID9+/ejoaEBc+bMUSfbKgsXLoQgCNi7\nd6/x3wwREfU6FiCSSrMg4HJOGbbuv4jVSSfw4eFr6mTbxlqCsWHeeGl2NN58fjxmJgxjsk09ovcI\nt6enJ86dO4eZM2fiV7/6FVasWAFHx969+PSZ2pGVlQWlUomYmBid7TExMbhx4waysrIQHx+P9PR0\n9fH2IiIiYG9vjwsXLvSs40REZBJYgEilFa0FkIpyzQLIwd4uSJBJ8WCELwsgyaj0TrgPHTqELVu2\nYOfOndi+fTu+/vprrF27Fo899piY/eu2vLw8ANBZSNn2eG5ursb5bed0q0gkEvj6+iI3Nxd1dXVw\ncHAQo8tERNRLWIDYPzU2NSP9xl2kZhbi4k3NAkjH+wWQE2V+GOLj0mF9GFFP6J1wOzs7Y82aNfjF\nL36Bv//97zh+/DhWrlyJiRMn4k9/+hMGDx4sZj/1Vl1dDYlE0uHou6OjIwRBQFVVlfp8AHBycurw\nfACoqqrqVsJtbc2VTcSiii1jLA7GV3yMsbg6i29sbAR27pRg48YNKC52gLd3LVatSkRMTHhvd9Os\nGeMaTku7hI0bj6K42FG0/w55xVU4ll6Ak1lFOgogPTAx2g+xIV6wszW9Akh+Toirt+Pa7VVKgoKC\nsG3bNnz77bdYv349jh07htOnT2Pp0qX4zW9+A1vbvv0Jpqs7U0EQNP7e3fP15erKuV5iY4zFxfiK\njzEWV0fxTUyMQ2JiXC/3xjIZeg2fO3cRixalIzd3DVS/NKSnb8PevU6IjY3oUZ+qaxvxQ3oBvjmd\ng+t55Rptnm6OeDRuMH4WNwS+g5x79Dq9hZ8TlsHgZQEfffRRJCQkYNu2bXj//fexefNmfPHFFxg7\ndqzO8yUSCf76178a3FF9OTs7QxAE1NTU6GxXjYAPGNCybqaLi4v6uOrP7c8HoD5fXxUVtVAqm7s+\nkbrN2toKrq6OjLFIGF/xMcbiYnzF19MY/+1vB9ok2wAgQW7uEvztb2/hgw+Gdvv5mgUBV3PKcCy9\nEOeuFKNBYwdICUaHeGNilB8igzxgZdXymmVl1d1+nd7E61hcqvj2lh6tw21nZ4dly5Zh6NCheOml\nl5CTk4OcnByd5/ZWwh0YGAgAKCws1Nmen58PoGWkXnX+xYsXUVhYCB8fH41zlUolioqK4OvrC3t7\n+271Q6lsRlMT/4GIiTEWF+MrPsZYXIyv+AyN8Z07DtC1WsydOw7der6yynocz5LjRKYcxeWaha8B\nXi5IiJJiXJsCyOZmAc3Nhv1y3Vd4HVuGHiXcJSUl2LBhA/bt2wdBEBATE9Ppkn29QSaTwdbWFmfP\nntXZfu7cOdjb22PUqFEAWpYa/PLLL3H27FmtlUouXLiApqYmxMXxp0ciIiJj6clqMU3KZqRfv4vU\nTDmyb5Wg7cxPR3sbPBjug4QoKQJ9BrAAkkyGQQm3UqnEzp07sWXLFlRVVcHd3R2///3v8fTTTxu7\nf93m6uqKyZMn48CBAzh69CgSE1srzw8ePKjehdLZuWXu1rRp0/DOO+9g165dmDdvnkbxZHJyMiQS\nCebMmdPr74OIiMhS6btaTHr6ZWzadBQKhSO8/JWIfkiGG8UNWgWQoUPckCDzw+gQL9ibYAEkUbcT\n7lOnTuG1117DzZs3IZFI8Mwzz+Cll17CwIEDxeifWmFhIbKysgC0FDKWlZUBAI4dOwYPDw8AgL+/\nPyIjI7FmzRqcO3cOL730EhYuXIjhw4fj+vXr2LFjBwIDA/Hiiy+qn3fgwIFYt24d1q5di2effRZz\n5syBo6MjvvrqK6SmpmLBggUYPXq0qO+NiIioP9Fnu/r09Mv49dJ0SAbMxuDIXEBajvSc1nnX7gPu\n7wApk8Kbm9KQiZMIei7DUVhYiDfeeAPffPMNBEFAeHg4/vKXv0Amk4ndRwAtW8uvXbu205+HZs6c\nifXr1wMAFAoFkpKScOzYMZSUlMDLywuJiYlYtmyZOkFv69SpU9i6dat645zhw4djzpw5mDVrlkH9\nLSur5pwrkdjYWMHd3ZkxFgnjKz7GWFyMr/jEjLEgCLiWV443//0dlE6DYG2rVLc1KyWwqrmH1b9O\nQMTQ1gJIS8TrWFyq+PYWvRPumJgY1NXVwcXFBb/73e8wd+5czo3qBP+BiIcfQuJifMXHGIuL8RVf\n2xifO3exddqHjpFqfZVV1uNkthypmXIUl2nO5a64OwB5WYHIvxyA0VHvYv/+xcZ6KyaL17G4ejvh\n1ntKSW1tLWbMmIE1a9Zg0KBBYvaJiIiIzEBa2iUsWpSGgoKXoZqLnZa2FSkp0CvpblI2I+NGSwFk\n1k8lGjtACk1NyLk4HHnZgbh3x039/PoUVhKZGr0T7g8//JCrdRAREZHaxo1HUVCguZ52QcFSbNr0\nJrZv7zjhLrhbjdSMQpy6WITKGs0CyLt5nsjLHozG0h0QmuW4p4hCZ4WVROZA74SbyTYRERG1VVzs\nCF3raSsU2kWMtfVNOHP5DlIz5bhZWKHZ2NiI6+fDkXcxEDX3VD/z/wnx8X/Agw92XFhJZC56tA43\nERER9V/e3p2vpy0IAq7n30NqRiHOXi1GQ2PrXGRrKwmigz2RIJPij7/bh6un2y9SIEFj42AkJ1v+\nfG2yfEy4iYjIYqSnX0ZS0ncoLXWBh0cVVqx4hCOiIlq1KhHnz2uvp7146UP48tRtHM+U4067Akh/\nT2ckyKR4MNIXrk52AHq2EQ6ROWDCTUREFiE9/fL9Aj7VnGIB58/rX8BH3RcTE46UFKFlPW2FA7wC\nrTE0egQ+OKZAs1CsPs/BzhoPhPsgXibFMKmr1ipn+m6EQ2SumHATEZFF2LTpaJvVMgB9C/ioZ7wD\nhuDxX07CyWw5KmoacVtRr24bOdgNCTIpYkO9O90BUp+NcIjMGRNuIiKyCC2FevoV8JkSje3LzSTR\nrK1vwpkfc3Dw1C3cyL+n0ebmYteyA+QoKXw8nADo9x6jo8OQnGza75vIUEy4iYjIIpjjPODWaTCG\nrWPdm9QFkJmFOHtFuwAyakRLAWTkMA9YW1mp28zpPRKJhQk3ERFZBHOcB2wO02DuVdXjRHYRUjPl\nuFNao9Hm7+mMeJkU4yJ84epsp/Px5vAeicTGhJuIiCyCah5wUtIGlJU5w93d9FcpMdVpME3KZmT9\nVILUTDkyfypBs9C6B6SDnTUejPDFEwnD4D3ADkql0Mkzme57JOpNTLiJiMhiREeH4YMPIuDu7oyy\nsmo0NTV3/aA+ZGrTYOQl1UjNlONkdhEqqhs02kYGDERClB9iQ7zh7GSrjjHQecJtau+RqC8w4SYi\nIuojpjANpq6hCWcvFyM1U44bBZoFkANd7DAhUooEWWsBZHeZwnsk6mtMuImIiAxgjNVF+mo5PEEQ\ncKPgHlIz5Th7uRj1jUp1m7WVBLLhg5AQ5YdR7QogDcEl/4iYcBMREXWbMVfe6M3l8O5V1ePk/QLI\nonYFkNJBTkiQ+WFcpC8GdlAAaSgu+Uf9HRNuIiKibjKnlTealM3IulmC1AztAkh7O2s8EOaNeJkf\nhvtp7wBJRMbBhJuIiKibzGHlDXlJNY7fL4C8164AMjhgIOJlUsSFesPBrjUVMMdNeIjMARNuIiKi\nbjLVlTfqGppw9sr9Ash2O0AOdLbD+FG+iB8lhXSQs9ZjuUENkXiYcBMREXWTKa28IQgCfiqsQGpG\nIc5cKUZ9Q2sBpJVEgqgRgxAvk2LUsEGwse64ANKcpskQmRsm3ERERN1kCitv3KtuwKnsIqRmFkJe\nolkA6evhhIQoKcZH+GKgi71ez2cO02SMhVNnqLcx4SYiMhJ+ifcvfbHyhrK5GVk3S5GaUYjMn0qg\nbG5TAGlrjbgwbyTIpBjhP7DbBZCmOk3G2Dh1hvoCE24iIiPglziJqai0BqmZhTiZpV0AOcJ/IBJk\nUsSFaRZAdpcpTZMRE6fOUF9gwk1EZAT8Eidjq29Q4uyVYhzPLMS1dgWQrk62GD+qZQdIXQWQhjCF\naTK9oT9NnSHTwYSbiMgI+CXeN3RN44mNjejrbhlMEATcLKxAaqYcZy7fQV27AkjZ8JYCSNnwzgsg\nDdUfNqjpL1NnyLQw4SYiMgJ+ife+jqbx7NwpQWJiXF93r1sqqhtwMrsIx7PkKLxbrdHm4+GEBJkU\n4yN94aZnASR1rL9MnSHTwoSbiMgI+CXe+zqaxrNx41tmkXArm5uRfbMUqZlyZNy4q1EAaWdrhbhQ\nbyTI/BAc0P0CSOpYf5k6Q6aFCTcRkRHwS7z3dTSNp7jYtKfx3CmrwfFMOU5kyVFepVkAOdzPFQlR\nfogL9YajPb+ixdIfps6QaeG/ZiIiI+GXuPjaztnOycmGrmk83t6mN42nvkGJc1dbdoC8lleu0ebq\nZIvxkVJMkEnh72mcAkgiMi1MuImIyCxoz9nOhrX1O1AqV6PtNJ5Vq0xjGo8gCLgpr8DxTDlOX9Is\ngJRIANmwQUiI8hOtAJKITAcTbiIiMgvac7YjoVQCvr5LERgYqZ7GExMT3if9U42+3y1zhmeQPTyG\n+aO0qknjHB93R8TLpBgfKYX7ABZAEvUXTLiJiMgs6J6zHYnAwEjs37+4L7qkdiHtElb/8RKcfBPh\nE1sEWAvqZNvO1gpxId5IiGIBJFF/xYSbiIjMgikuvVhcVoPUTDm+/CEPwyd6AJCr28rk7nC3uoR3\n3pjNAkiifo6fAEREZBZMZenF+kYlzl8tRmqGHFdVBZC2ti1tNXbIvzQYeReHoKrEFQ88kMZkm4iY\ncBMRkXnoy6UXBUHA7aJKpGYU4vTlO6it1yyAFCorce7oI7hzUwqhWVUAyY2PiKgFE24iIjIbvb30\nYmVNA05dvIPjmYXIV2juAOnt7nh/B0gpcn66iUVfHoDQvPR+Kzc+IqJWTLiJiIjaaG4WcPF2KVIz\nCpF2vd0OkDZWiA31RoJMipGD3dQFkO7c+IiIOsGEm4iICEBxea16B8iyynqNtmF+roiXSTE21AdO\nDrq/OrnxERF1hAk3ERH1Ww2NSpy/pkBqRiGu5GruAOniaIvxkb6Il0kR4OXSRz0kIkvAhJuIiPoV\nQRCQc6cSqRly/HjpDmrrWzenkUiAyKBBSJBJER3syR0gicgomHATEVG/UFXbiFMXi3A8U4684iqN\nNi83B8TL/DAh0hcerg591EMislRMuImILIBqW3GFwpEFe200Nwu4dLsUqZlypF1XoEmpWQA5JsQL\nCTI/jBziBivuAElEImHCTURk5tLTL2PRojQUFLwM1YYwaWlbkZKCfpt0F5VU48vUn/BDRiFKKzQL\nIIOkAxAv88MDYR0XQJob3nARmTbL+KQhIurHNm062ibZBgAJCgqWYtOmN7F9e/9JuhoalbhwTYHj\nWUW4dLtUo83F0RYPRvhgoswPAd6WVQDJGy4i08eEm4jIzCkUjmhNtlUk949bvpyiSvyQWYjTF++g\npm0BJICIYR6YKPND1AhP2NpYZgGk2DdcukbPY2Mjevy8RP0JE24iIjPXsn24AM2k27K3Fa+qbcSP\n9wsgc7UKIB0x6cFAxAZ7YqCzXR/1sPeIecPV0ej5zp0SJCbG9fj5ifoLJtxERGZu5cpEpKVtRUHB\nUqiSInPcVryrecjNgoDLt8uQmlmIC9fuoknZrG6zbVMAGTHMA4M8XFBWVo2mpmZdL2VROrrhsrXN\nw+LFW3o0r7uj0fONG99iwk3UDUy4iYjMXHQvbysuRoFeZ/OQA4KGqneALGlXADnUdwASZFKMDfeB\ns4MtAPS71UZ03XB5ev4NV68OhUKxHD2Z193R6Hlxcf+YrkRkLEy4iYgsQG9tKy5WgV77kVQr62YI\nLk9g095jkDjLIbQ519nBBuMiWnaAHOIzoCdvxyLouuEqL6/H8eOqZBswdF53R6Pn3t6WO12JSAxM\nuImISG9iFeipRlJdvcoxODIX/mH5sHNoBOCiTvfCgzyQIJMiJtjLYgsgDdX+hmv69O0wxrzujqYr\nrVplXtOViPoaE24iIj1wneMWYhToVdc1wivYAQkjvsdAn3uajY0NmJkYggmRUgwayB0g9WWsQtqO\npivFxIQbs7tEFo8JNxFRF7jOcStjJXLNgoDLOWVIzWgpgIS3LwaiJdlWNlmh6LoUNUVZ2PRGOGJi\ngozW//7CmIW0vTVdiciSMeEmIuoCN5Zp1dNEruReHY5nyXE8U46SijqNNi9XGyhu5KPsZgP8PS5i\n5Zv981cEY+jtQloi6hwTbiKiLvT3jWXaMiSRa2xqRtp1BVIz5bh0q1SrAPLBCF8k9JMCyN6cmsSR\naSLTwYSbiKgL/XFjmc7om8jl3qlEaqYcP14sQnWd5g6QrQWQnrC1sRaxt6aDU5OI+i8m3EREXbCU\njWV6Q01dI368dAepmXLkFFVqtA1ydUC8TIoJo3zhObD//TrAqUlE/RcTbiKiLnA+bOeaBQFXcspw\nPFOO89cUaGyzu6ONtRVGj/REQpQfwgLd+92mNG1xahJR/2WxCXdSUhKSkpI6bPf09MTx48fVf8/P\nz0dSUhJOnjyJ0tJSuLu7Iz4+HitWrIC/v39vdJmITJglzIc19vzhknt1OJElx9HzuaioVWo21tWh\nsqAaA4S7ePCxhxEx1KOHvTd/nJpE1H9ZbMINABKJBL/97W8xYsQIrTZ7e3v1n/Py8vDMM8+gsbER\nCxcuRFBQEG7fvo2UlBSkpqZi9+7dkEqlvdl1IiKjMtb8YVUB5PFMOS62K4BsqLNF4RVHFFy6iLKi\nNluKn+c8ZYBTk4j6M4tOuAEgLi4OcXFxnZ6zfv16lJeXY/v27Rg3bpz6eExMDBYvXow333wT//rX\nv8TuKhGR0bQfzS4vr0RBwWswdP5wXnEVUjMKcapdASQAKHI8kZcdiKIbUjQr/wXgRa3X+etf/wA3\nN89+vXEQpyaZF252RcZk8Ql3V0pLS3Hs2DEEBwdrJNsAMH78eAQHB+PIkSO4d+8eBg4c2Ee9JCLS\nn67RbDu7deju/OGaukacvl8AebtdAaSHqz3iR0mRsvE4Tv8wo02Lg47XuYQzZ6RoaFAl4v13dQ5L\nmJrUH3BFGTI2q77uQG9pampCQ0OD1vGsrCwolUrExMTofFxMTAyUSiWysrLE7iIRkVG0rIahmrYA\nABI0NLgBGhNAAF3zh1U7QG7dfxGrk07gw8PX1Mm2jbUEY8O88dLsaLz1/HjMTBiGQa6V7Z63Tsfr\nfN0m2W7pT8vo+tGev1kiEej6N8RrlnrCoke4BUHAwYMH8frrr+PKlSsQBAHe3t6YPn06fvvb38LB\nwQF5eXkAAD8/P53PoTqem5vba/0mIuoJ3athTIGd3T81Rpnbzh8urWgpgDyeJYeiXHMHyMHeLkiQ\nSfFghC9cHG012rTnJT8Oa+t3oFSuRuvoejkaGrg6B5kPrihDxmbRCbdEIsGRI0cwf/58vPjiiygq\nKsLu3buRnJyMCxcu4KOPPkJ1dTUkEgkcHXX/I3J0dIQgCKiqqurWa1tb95sfD3qdKraMsTgYX/GJ\nHWMfH9Uoc9uEIRwPPPAB3N03oLjYAd7etVi+4hE0O3viX7szkHWzBEKbgWknexuMi/TFxGg/DPUd\nAEkHy/nFxkZg504JNm5sfd7Jk4Nw8GDr38vKBKSmaq/O4eNTBxsb48eA17D4LD3Guv8NiXfN6mLp\nMe5rvR1Xi024p0+fjlGjRmH06NEYMKB1u+BZs2Zh3rx5uHDhAr744gtIJBIIQvufP1t11tYZV1fe\nBYuNMRYX4ys+sWK8bt00pKdvQ27uEqhGmYcM2YZ//nMhYmMjcFtegW/O5OCDH/JRWSPXeGxUsCd+\nNjYQ40ZJYW+r3w6QiYlxSEzULE5/4YXWP587dxFPP63dn3XrpsHd3blH77UzvIbFZ6kx7ujfkNjX\nrC6WGuP+xmIT7sDAQAQGBmodl0gkWLRoEc6fP4/U1FTExsYCAGpqanQ+j2oEvG3Sro+Kiloolc1d\nn0jdZm1tBVdXR8ZYJIyv+MSO8fDhQ5GSUqMx6vz8soeRU26DD9/+DjcLKzTO93C1x8QoPyTI/ODl\n3vLlXlNVB92fisbpz6pViRg+fCjKyqqN9CqteA2Lz9Jj3NvXrC6WHuO+popvb7HYhLszXl5eAIDK\nykp1Ul5YWKjz3Pz8fABAUFBQt15DqWxGUxP/gYiJMRYX4yuO9PTLSEr6DqWlLvDwqMKKFY+IsurB\nqFGheP/9EFzNLUdqphzbjhajoalI3W5jLUFMsBcSoqQID/SAlVXLT+di/TcfNSoU27aFahwT+/ri\nNSw+S45xX1yzulhyjPsTi0y4Gxoa8P3336OpqQlTp07Var9x4wYAICAgADKZDLa2tjh79qzO5zp3\n7hzs7e0xatQoUftMRJavdamxNVD9TH1ehE1hyirrcTxLjhOZchSXa65CEuDlgoQoKcbpKIAkIiJx\nWGTCbWdnhw0bNkAul2PYsGEIDW29Q62trcW2bdsgkUgwdepUuLq6YvLkyThw4ACOHj2KxMTWHb8O\nHjyo3oXS2bl352wRWRJuINGiZakx1bq+QHc3n+lMk7IZ6dfvIjVTjuxbmgWQjvY2eDDcBwlRUgT6\ndFwA2Z/xGiUiMVlkwg0Af/3rX7F06VLMmzcPs2fPRnBwMIqLi7Fnzx7k5eXhl7/8JcaOHQsAWLNm\nDc6dO4eXXnoJCxcuxPDhw3H9+nXs2LEDgYGBePHFF/v43RCZL24g0UqMpcbyFVU4ninHyewiVNU2\narSFDnFDgswPY0K8YKdnAWR/xGuUiMRmsQn3uHHjsGfPHmzduhVffPEFysvL4ezsjLCwMLz44ouY\nPHmy+lwvLy989tlnSEpKwueff46SkhJ4eXlh1qxZWLZsGdzc3PrwnRCZNzFHdc1NyyYz2kuNtd98\npis1dU04c7llB8hbcs0CSPcB9pgwSor4Ub7wdnfq9Hk4qtuC1ygRic1iE24ACAkJwdtvv63XuV5e\nXnj11VdF7hFR/2PJG0h0N2HV3iRGc/OZzgiCgGt5LQWQ564Uo6FNEZW1lQQxI72QIJMiYmhrAWRX\nfeeobgtLvkaJyDRYdMJNRH3PWKO6psaQhDU6OgwpKUBS0gaUlTnD3b3rVUrKKuux53AmTl0sAezs\nNNr8vZyRIPPDuAgfDHCy6+AZdDOHUd3eGoG31GuUiEwHE24iElVPRnVNmaEJa3R0GD74IALu7s4o\nK6vWudxXk7IZGTdKkJpZiKyfSiAA6mS7sd4G5XkVWDF/MCZNlBlcAGnqo7q9OQJvqdcoEZkOJtxE\nJCrVqO7mzW+huNjBYuYKi5GwFtytRmpGIU5dLEJljWYB5N08T+RlD4H8uhTNTdbwan4Tjz8UZfBr\n9fWoblej1705Aq/rGp08Oeh+/05ZzDVLRH2HCTcRiS46OgzJyZaVrBgrYa2tby2AbL8DpPsAe+Rf\nuoPT3zyNmnIXjbaejkT35aiuPqPXvT0C3/Ya5fx2IjI2JtxERAboaQHkxZslOJD6E85cvoOGRs0C\nyOhgTyTI/BAZ5IElS/4XNeXt9wHo+Uh0X/7yoM/odV+OwJvD/HYiMi9MuImIDGBIwlpeVY8TWXIc\nzyrCndIajTZ/T2ckyKR4MNIXrm0KIDtK7CdPDsLixVt6VFDYV7886DN63Zcj8KY+v52IzA8TbiIi\nA+mTsDYpm5H5UwlSMwqRdbMUzW22gHS0t8YDYT6Il/khSKp7B8iO5hevX19utlMe9Bm97ssR+L6e\n305ElkciCG03ACZj6Wj1Aeo5GxurTld4oJ5hfI2j8G41UjMLcSq7CBU12jtATpkQhPAhbrA2YJWR\nxYu34MCBtlMeAEDAtGlvYvv25T3reC9onSOtOXqdkhJjlIS6p9ew2P2zBPycEB9jLC5VfHvt9Xrt\nlYiIesjUd0asrW/C2SvFSM0oxE/tCiAHutghfpQU8TIp/L1cevRFau5THkx95RpT7x8RmR8m3ERk\nFkx15QhBEHA9/x5SMwtx9kqxdgHkCE9MkEkxapgHrK2sjPKaljDlwdRXrjH1/hGReWHCTURmE6Ro\nCwAAIABJREFUwdRWjrhXVY8T2UVIzZRrFUBKBzkhQeaH8ZG+cHXu3g6Q+uBGLURE5oUJNxGZBVOY\nRtGkbEbWTyVIzZQj86cSjQJIBztrjA3zQYJMimF+rgbvAKkPTnkgIjIvTLiJyCzoO41CjHne8pJq\npGbKcTK7CBXVDRptIwMGIl7mh7hQb9jbWffodbqDUx6IiMwHE24iMgv6TKMw5jzvM+cu4t2P0tDo\n5AFbVweNtoEudpgQ2VIA6evh1OP3RkRElo0JNxGZBX2mUfR0nrcgCLhRcA9ffHcZWberYe3rB1tV\nW7OA4b4OmDYxRO8CSFNfVYWIiHoHE24iMhtdTaMwdJ73vap6nLxYhOOZcshLWgogrW1bEurKEhfk\nZQci/7I/JIkbEb14gl597Wy0PTY2Qq/nIOOwxBsfS3xPRJaMCTcRmbW2iUdOTjb0XS5P2dyyA+Tx\nTDkybmgWQDYrm5F/aShyswNRLndXP193CjQ7G23fuZMJd28x1eUke8IS3xORpWPCTURmSzvxyIa1\n9TtQKlejo3neRaU1SM0sxMmsItxrVwA5ImAgEmRSpGz8LzK/mYmerHNtCquqkOktJ2kMlvieiCwd\nE24iMlvaiUcklErA13cpAgMj1T+1h4YHIzWzEMcz5bief0/jOVyd7TAh0hfxMimkg1q2+R3w20eQ\ndqFn61xbwuY0lsASb3ws8T0RWTom3ERktnQnHpEIDIzEvn2L8FNhBVIzCvHe0ROob1Cqz7CSSBA1\nYhDiZVKMGjYINtaaBZDGWOeam9OYBku88bHE90Rk6ZhwE1GP9VUBl67Ew86pFl4jHfGnbafVBZAq\nvh5OSJBJMT7SFwNd7Dt97p6uc83NaUyDJd74WOJ7IrJ0EkFoUylERlNWVo2mpua+7oZFsrGxgru7\nM2Msku7Gt3UeteaXf0pKjOjJpeq1CwuXwCtIgSGROfAZJofEqjUBt7e1RlyYNxJkUozwHyjqDpD6\n4jUsrvbxTU+/jM2bv+vxjY8prQxirPdkKF7D4mOMxaWKb29hwi0S/gMRDz+ExNXd+C5evAUHDrSd\nRw0AAqZNexPbty8XrZ9ASwHk3m+ycP76PcBG8we7Ef4tBZCxod5wtDetH/N4DYtLjPj25Y2lKeI1\nLD7GWFy9nXCb1rcQEZm89qN8t2+3n0sKiFnAVd+gxNkrxTieWYhrqgLI+8m2q5Mtxo+SIqFNASSR\nMXBlECLqCSbcRKQ3Xev/OjisgFgFXBrJ/WABEePDcaO4QasAUja8pQBSNly7AJLIGLgyCBH1BBNu\nItKbrlG+uroX4Oj4NmprX4IxC7jS0y/jN89nwNr9aQyOyAM8K3ExvzWJ92lTAOnWRQEkUU9xZRAi\n6gkm3ESkt46W4Rs2bBeGDTPOahzK5mZk3yzFpt1XETHdB1bWl9RtTY3WsKkpwf9blojgANMogKT+\ngSuDEFFPMOEmIr11NMoXFOSC5ORl3Xqu9nPBF/x6IkqanHAiS47yqgZggCus0FLTXVrojrzsQBRe\n9UPs6P/FyMFuRntPRPrgMo9E1BNMuIlIb8Ya5VPNBZffeQnSYDmshuRiZ6pC86SmJvyUHoK87CGo\nKnW9f5A/4VPf6ena7ETUfzHhJiK9GWOUTxAEbNp6Eh5hDyNy5mHY2je1bUTUCE/Ey/yAagWW7D2B\nqtIIVSN/wiciIrPEdbhFwnUzxcO1ScUlVnwrahrwY3YRUrPkKFBUa7RVlTkjL9sBVQW7MXTwMHUi\nD6BPN/cQC69hcTG+4mOMxccYi4vrcBNRn0lPv4ykpO9QWuoCD48qrFjxCAAYvLtec7OA7FulSM0s\nRPr1u1A2t97fNzVaQ37ND3nZQ1BaUATgJIB/4U5hy1SVtLSWTUW6Ozfc3JjS7oVERCQOJtxEZkiM\nJK11je01UM3PPnnyb5BIPKBQtK673ZIIo9PXKy6rwfEsOU5kFaGssl6jbZifK4a6S/DOX68hL+eJ\n+8/7AQDVsoJAf9lUJC3tkta65vrEl4iIzAsTbqJeZGii3PZxtrZ5uHp1aLeT4K7oWmP77l0nAMuh\nTyJc36jE+avFOJ4px5Xcco02F0dbjI/0RYJMCn8vFwBA5GAn9Vzw69fvorS0/20qsnHj0TY3OEB/\nudEgIupvmHAT9RJduzTqkyhrP+4f0DcJ7g7da2x3vrueIAi4XVSJ1Ew5Tl8qQm196w6QEgkwatgg\nJMikiBrhqbUDZNsVHxYv3oIDB3pht8oObnL6alpHcTF3LyQi6g+YcBP1El0jyPokytqPEydJ073G\ndge76/k04PDZPBzPLER+uwJIbzdHxMukmDBKCvcB+u0AKdamIvrc5Bh6I2QM3t7cvZCIqD+w6voU\nIjIG3SPIXSfK2o+rA9B+caGeJ2krVybC339rm+cW4OlZAy+vLS3HJAK8ht7BhF98Bqvgkdj17XV1\nsm1nY4Xxkb54eW4M1j/3IKaNH6p3sg2olhuMwfTpb+GBBzZi2rQ3kZIS0+OEt+VmRZXEA603OUe7\ndY5YVq3SjjmXPiQisjwc4SbqJR3t0thVoqz9uMkA3gfwGxhzNFi1xnZS0gaUlTnD3b0KK1ZMxr2a\nJuz4fDuULm6wtrcB4ADVYiNB0gFIkPlhbJgPnBx69nEixqYiHd3k3LpVhcWLt0ChcMT16+U6z+mN\naR0xMeFISRG4eyERkYVjwk3USwydNqH9uHB4eu5FWNif0NDgbdQkLTo6DB98EAEnFwd8c+oWDqcV\ntBRADvKE9f1zVAWQ8TIpAu4XQLZnKkvd6b7JycbNm264eFG1Kso/dJzTe9M6uHshEZHlY8JN1EsM\n3aVR9+MmGz2BVRVAnsguwumLRaiua90BUiIBIoNaCiCjg7ULINvqyznR7em6yXFw+Ddqa5PQmmBP\ngRi/GBAREalwp0mRcGco8XD3Lf3oO8pcVduIUxeLkJohR76iSqPNy80B8TI/TIj0hYerg16v27Li\nSNsiTwAQMG3am9i+fXkP3pFh0tMva+xWefu2gOzste3OuggPjyQEB4f2yog8r2FxMb66GfOXJ8ZY\nfIyxuLjTJBH1WFejzM3NAi7llCI1Q4606wo0KVvvu+1srDAhyg8PhnljuP9AWEnaz2/unKHFoWJp\nP2Vj8eItyM5uP4UkHOPHB2L79sW93j+i3mBKvzwR9UdMuIksUIdLEP7vP/HkfHscz5KjtEJzB0hV\nAeT4UVL4SwcaPKpiaHFobxFrCUIiU2bosqREZBxMuIlMjDF+9m07ymxlo4TvCDmGROYAQ0Zg34nb\n6vNcHG0xLqJlB8gA75YCSBubnq0WauoJraFz6YnMman98kTU3zDhJjIhxvrZ18urFq7eZRgSmQe/\n0HzYOTSq2yQAIoI8kBDlh+gRnrDtYYLdnjkktFwZhPobU//licjSMeEm0pMhI8/dfUxPf/atqm3E\njxeL4DlmFCaO/EGjrb6qCQ/FuGHWYzK9CyANxYSWyLSY+i9PRJaOCTeRHgwZeTbkMYb87NssCLh8\nuwypmYW4cE2zABLNzai7WwOH+hI8OdEHh748i/0fZJvkqDMRicccfnkismRMuIn0YMjIsyGP6c7P\nvnfv1eJ4phwnsuQoaVcAGeg7ABNlUjwQ7gMnB1uuUEBE/OWJqA8x4SbSgyEjz/o+pu20E1vbu/Dy\n2gKFYjl0/ezb2KTEhWt3kZpZiMu3y9B2EX1nBxuMi2jZAXKIzwCN1+AKBURERH2HCTcRup5rbUjB\nkT6P0TXy7On5NyQkaG7b7u4bgI8PX8OPl9rtAImWAsh4mRQxwV4dFkByhQIiIqK+w4Sb+j19plsY\nUnCkz2N0jTzfvbsOAwe+ic3/Ox8/XryD/6YVIvfOWY3n9hzogPhRUkwYJcWggV0XQHKFAiIior7D\nhJv6PX2mWxhScKTPY7RHngV4DlGgzn0wVm8+gSZl68YzNtZWGBPihQSZFKGB7t3aAbKj5H/y5CAs\nXrxFY2Q/NjZC7+clIiKirjHhpn5P3+kWhhQcdfUY1cizw4BaDI7IxeCIXDgNrAXgok62A30GIF4m\nxYMRPnB2sO3W67ftR/vkf/LkIKxfX641sr9zpwSJiXEGvQ4RERFpY8JN/V5fTbdobFJi8i/GocJ1\nNwb42KPtgLW9rQTxMn8k6CiANFT75H/x4i06R/Y3bnyLCTcREZERMeGmfq+3N4TIvVOJ1Ew5frzY\nUgDp6msPABAEAZKaakweH4CnHouCrY21KK+v0tHIfnExCymJiIiMiQk3WbyuViAxdEOI7uwiWV3X\niNOX7iA1Q46cO5UabYNcHRAvk2LCKF94Duy9ZLejkX1vbxZSEhERGRMT7jaUSiVSUlKwb98+5OTk\nwNraGhEREVi0aBESE7n9rTnSd8OX7s7P7uh51669hYMHb6mT8Kd+OQHyalucu6rQKoAcPdITCVF+\nCOtmAaSxdDSyv2oVr3Vq1Z0bSyIi0k0iCILQ9Wn9w8qVK3H48GE8/vjjeOSRR9DQ0IDdu3cjKysL\nr776KmbPnq33c5WVVaOpqbnrE6nbbGys4O7urFeMFy/eggMH2s5TBgAB06a9ie3bl3f4uK6SDN3P\nmw1Hx4MQrJdhcEQeAiJy4exWo/G8Q7xdkBDlhwfCfeDiaFgBpDGlp1/G5s3faYzsx8ZG6B1fMkx3\nruG+1HpjqXlTlpISY9JJt7nE15wxxuJjjMWlim+vvV6vvZKJO3LkCA4fPownn3wSb731lvr4jBkz\n8OSTT+KNN97ApEmT4O7u3oe9JH20TZavXy9Hdzd80WdUvP38ZytrJXyGHcfgUePhFfiNRgEklEok\nxg1BgswPgb7GKYDsqN/dHYnkVs/UGe5QSrqkp19GUtJ3KC11gYdHFVaseMSkb8CITAET7vv27NkD\niUSChQsXahy3t7fH7NmzsWHDBnz55ZeYN29e33SQdGqfZGovdfcPaM9TzkZOTjamT9+uMzHVJ8lQ\nzX8e4FmBIZG58A/Lg52jFIBC/TyKHC/kZQ/BYPf/w7w/PiZmGPSeOkPUHdyhlNpr/axZA9Vnzfnz\n/Kwh6goT7vsyMjJgb2+P8PBwrbbRo0dDEASkpaUx4e5jbUdWJJLbuHIlEApFa5J55MgK1NUloTVJ\nmALgfQC/uX8sG9bWh1FUtBVFRfqNXrdoTTJq6hrx8MwHUOO5F04emtNCaiockX9xCPIuDkFthRMA\nAaOn1UBsHIkkMXCHUmqPnzVEhmHCDaC6uhplZWUIDAzU2S6VSgEAubm5vdktakd7ZOUfAJaj7Qd/\nXV0YNJODll0TPTyWITg4FDk52Sgq2gp9Rq81n6cZXkMk2Lr/Is5fVaCxqVmdbAvNAiRVFYgd6Yj3\nPytCQf5j6I3lBdviSCSJobeXzCTTx88aIsMw4UZLwg0ATk5OOttVx6uqqvR+Tmtrq553jDQkJX3X\nJtkGAF0f/PXQTpbDER8/FB98sARTpybfH9luS4K7d51gY9Py32z16keRnr4V+flL4eBSh4CIXARF\nZQMugfjx4h31o4b4uGBitB/GRfhigJMdACBhzCVs3LgBxcUO8PauxapViYiJ0f7VxNh8fOqgayTS\nx6dO/b70pbp2eQ2Lx1xiHBsbgZ07JX1yTfeEucTXHBnzs4Y6x+tYXL0dVybcACRdLMlmyEIurq68\n2ze20lIXaH7I6/rgfxyOjv9Ebe2LUI3IDRmyDevWTYO7uzP8/Rt1PEZAQECjulo5YeJovLaxGf93\nZBeUDo73r4+WfyrODjZ4aHQAHnsgEMP9B2pdO4mJcX2yS+O6ddOQnr4NublLoOt9G4LXsPjMIcZ9\ndU0bgznE19yI8VlDneN1bBmYcANwcXEBANTU6J5rqxoBHzBA/xUmKipqoVRyGR9j8vCogmayPBma\n87MFBAScwCuvDMbBg5ojcsOHD0VZWTWWLZuI06dbRq9bH7MVL7wwEVlX7+BYegFOZBWhqrYRcHRS\nv1L4UHdMjPZHbIgX7GxbdoAsLxd/bra+hg8fipSUGq2RSNX77g5rayu4ujryGhYRYywuxlc8qs+a\nTZs2oLTUGR4eVVi50rDPGuocr2NxqeLbW7gO933x8fGorKxEenq61qjl2bNnMX/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Artificially create dataset with changing variance around a line\n", "y2 = xs*(1 + .5*np.random.randn(100))\n", "\n", "# Perform linear regression\n", "slr2 = regression.linear_model.OLS(y2, sm.add_constant(xs)).fit()\n", "fit2 = slr2.params[0] + slr2.params[1]*xs\n", "\n", "# Plot data and regression line\n", "plt.scatter(xs, y2)\n", "plt.plot(xs, fit2)\n", "plt.title('Heteroskedastic errors')\n", "plt.legend(['Predicted', 'Observed'])\n", "plt.xlabel('X')\n", "plt.ylabel('Y')\n", "\n", "# Print summary of regression results\n", "slr2.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Testing for Heteroskedasticity\n", "\n", "You can test for heteroskedasticity using a few tests, we'll use the Breush Pagan test from the statsmodels library. We'll also test for normality, which in this case also picks up the weirdness in the second case. HOWEVER, it is possible to have normally distributed residuals which are also heteroskedastic, so both tests must be performed to be sure." ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value for residuals1 being normal 0.690037268661\n", "p-value for residuals2 being normal 8.06837487191e-11\n", "p-value for residuals1 being heteroskedastic 0.837176530519\n", "p-value for residuals2 being heteroskedastic 0.00100419547634\n" ] } ], "source": [ "residuals1 = y1-fit1\n", "residuals2 = y2-fit2\n", "\n", "xs_with_constant = sm.add_constant(xs)\n", "\n", "_, jb_pvalue1, _, _ = statsmodels.stats.stattools.jarque_bera(residuals1)\n", "_, jb_pvalue2, _, _ = statsmodels.stats.stattools.jarque_bera(residuals2)\n", "print (\"p-value for residuals1 being normal\", jb_pvalue1)\n", "print (\"p-value for residuals2 being normal\", jb_pvalue2)\n", "\n", "_, pvalue1, _, _ = stats.diagnostic.het_breushpagan(residuals1, xs_with_constant)\n", "_, pvalue2, _, _ = stats.diagnostic.het_breushpagan(residuals2, xs_with_constant)\n", "print (\"p-value for residuals1 being heteroskedastic\", pvalue1)\n", "print (\"p-value for residuals2 being heteroskedastic\", pvalue2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Correcting for Heteroskedasticity\n", "How does heteroskedasticity affect our analysis? The problematic situation, known as conditional heteroskedasticity, is when the error variance is correlated with the independent variables as it is above. This makes the F-test for regression significance and t-tests for the significances of individual coefficients unreliable. Most often this results in overestimation of the significance of the fit.\n", "\n", "The Breusch-Pagan test and the White test can be used to detect conditional heteroskedasticity. If we suspect that this effect is present, we can alter our model to try and correct for it. One method is generalized least squares, which requires a manual alteration of the original equation. Another is computing robust standard errors, which corrects the fit statistics to account for the heteroskedasticity. `statsmodels` can compute robust standard errors; note the difference in the statistics below." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.599\n", "Model: OLS Adj. R-squared: 0.595\n", "Method: Least Squares F-statistic: 146.5\n", "Date: Thu, 19 Jan 2017 Prob (F-statistic): 3.59e-21\n", "Time: 07:52:40 Log-Likelihood: -476.29\n", "No. Observations: 100 AIC: 956.6\n", "Df Residuals: 98 BIC: 961.8\n", "Df Model: 1 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const -7.8960 5.681 -1.390 0.168 -19.170 3.378\n", "x1 1.2001 0.099 12.105 0.000 1.003 1.397\n", "==============================================================================\n", "Omnibus: 13.400 Durbin-Watson: 1.691\n", "Prob(Omnibus): 0.001 Jarque-Bera (JB): 46.481\n", "Skew: -0.041 Prob(JB): 8.07e-11\n", "Kurtosis: 6.339 Cond. No. 114.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: y R-squared: 0.599\n", "Model: OLS Adj. R-squared: 0.595\n", "Method: Least Squares F-statistic: 152.3\n", "Date: Thu, 19 Jan 2017 Prob (F-statistic): 1.13e-21\n", "Time: 07:52:40 Log-Likelihood: -476.29\n", "No. Observations: 100 AIC: 956.6\n", "Df Residuals: 98 BIC: 961.8\n", "Df Model: 1 \n", "Covariance Type: HC1 \n", "==============================================================================\n", " coef std err t P>|t| [95.0% Conf. Int.]\n", "------------------------------------------------------------------------------\n", "const -7.8960 3.163 -2.496 0.014 -14.174 -1.618\n", "x1 1.2001 0.097 12.342 0.000 1.007 1.393\n", "==============================================================================\n", "Omnibus: 13.400 Durbin-Watson: 1.691\n", "Prob(Omnibus): 0.001 Jarque-Bera (JB): 46.481\n", "Skew: -0.041 Prob(JB): 8.07e-11\n", "Kurtosis: 6.339 Cond. No. 114.\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Standard Errors are heteroscedasticity robust (HC1)\n" ] } ], "source": [ "print (slr2.summary())\n", "print (slr2.get_robustcov_results().summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Anscombe's quartet\n", "\n", "Anscombe constructed 4 datasets which not only have the same mean and variance in each variable, but also the same correlation coefficient, regression line, and R-squared regression value. Below, we test this result as well as plotting the datasets. A quick glance at the graphs shows that only the first dataset satisfies the regression model assumptions. Consequently, the high R-squared values of the other three are not meaningful, which agrees with our intuition that the other three are not modeled well by the lines of best fit." ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from statsmodels import regression" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cofficients: [ 3.00009091 0.50009091] [ 3.00090909 0.5 ] [ 3.00245455 0.49972727] [ 3.00172727 0.49990909]\n", "Pearson r: 0.816420516345 0.816236506 0.81628673949 0.816521436889\n", "R-squared: 0.666542459509 0.666242033727 0.666324041067 0.666707256898\n" ] }, { "data": { "image/png": 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TAEZICOnTZqmwi4iUVEYGPPwAYYsXA+4Fe1kjR5ExbiIEBJgcnPdSoywixYqObsayZebv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UZ2djbGjBnT5mMqKytx8uRJuLm5wdfXt8Wan58f3NzccOzYMfz999/GjmswffZPqXr16oUJEyZg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\nRERERBI4KBMRERERSeCgTEREREQk4f8Awpw1FhqAB+8AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from scipy.stats import pearsonr\n", "\n", "# Construct Anscombe's arrays\n", "x1 = [10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5]\n", "y1 = [8.04, 6.95, 7.58, 8.81, 8.33, 9.96, 7.24, 4.26, 10.84, 4.82, 5.68]\n", "x2 = [10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5]\n", "y2 = [9.14, 8.14, 8.74, 8.77, 9.26, 8.10, 6.13, 3.10, 9.13, 7.26, 4.74]\n", "x3 = [10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5]\n", "y3 = [7.46, 6.77, 12.74, 7.11, 7.81, 8.84, 6.08, 5.39, 8.15, 6.42, 5.73]\n", "x4 = [8, 8, 8, 8, 8, 8, 8, 19, 8, 8, 8]\n", "y4 = [6.58, 5.76, 7.71, 8.84, 8.47, 7.04, 5.25, 12.50, 5.56, 7.91, 6.89]\n", "\n", "# Perform linear regressions on the datasets\n", "slr1 = regression.linear_model.OLS(y1, sm.add_constant(x1)).fit()\n", "slr2 = regression.linear_model.OLS(y2, sm.add_constant(x2)).fit()\n", "slr3 = regression.linear_model.OLS(y3, sm.add_constant(x3)).fit()\n", "slr4 = regression.linear_model.OLS(y4, sm.add_constant(x4)).fit()\n", "\n", "# Print regression coefficients, Pearson r, and R-squared for the 4 datasets\n", "print ('Cofficients:', slr1.params, slr2.params, slr3.params, slr4.params)\n", "print ('Pearson r:', pearsonr(x1, y1)[0], pearsonr(x2, y2)[0], pearsonr(x3, y3)[0], pearsonr(x4, y4)[0])\n", "print ('R-squared:', slr1.rsquared, slr2.rsquared, slr3.rsquared, slr4.rsquared)\n", "\n", "# Plot the 4 datasets with their regression lines\n", "f, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2,2)\n", "xs = np.arange(20)\n", "ax1.plot(slr1.params[0] + slr1.params[1]*xs, 'r')\n", "ax1.scatter(x1, y1)\n", "ax1.set_xlabel('x1')\n", "ax1.set_ylabel('y1')\n", "ax2.plot(slr2.params[0] + slr2.params[1]*xs, 'r')\n", "ax2.scatter(x2, y2)\n", "ax2.set_xlabel('x2')\n", "ax2.set_ylabel('y2')\n", "ax3.plot(slr3.params[0] + slr3.params[1]*xs, 'r')\n", "ax3.scatter(x3, y3)\n", "ax3.set_xlabel('x3')\n", "ax3.set_ylabel('y3')\n", "ax4.plot(slr4.params[0] + slr4.params[1]*xs, 'r')\n", "ax4.scatter(x4,y4)\n", "ax4.set_xlabel('x4')\n", "ax4.set_ylabel('y4');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Instability\n", "we would like to evaluate the accuracy of the model not by how well it explains the dependent variable, but by how stable it is (that is, how stable the regression coefficients are) with respect to our sample data. After all, if a model is truly a good fit, it should be similar, say, for two random halves of our data set that we model individually. Otherwise, we cannot assume that the model isn't simply an artifact of the particular sample of data we happened to choose, or that it will be predictive of new data points.\n", "\n", "We'll be using linear regressions here for illustration purposes, but the same considerations apply for all regression models. Below we define a wrapper function for the linear regression from `statsmodels` so we can use it later." ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "from statsmodels import regression, stats\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "import scipy as sp\n", "\n", "def linreg(X,Y):\n", " # Running the linear regression\n", " x = sm.add_constant(X) # Add a row of 1's so that our model has a constant term\n", " model = regression.linear_model.OLS(Y, x).fit()\n", " return model.params[0], model.params[1] # Return the coefficients of the linear model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Biased noise\n", "\n", "The particular sample we choose for the data affects the model generated, and unevenly distributed noise can lead to an inaccurate model. Below we're drawing from a normal distribution, but because we do not have very many data points, we get a significant downward bias. If we took more measurements, both of the regression coefficients would move toward zero." ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: 0.00907250382269 Intercept: -0.402077440853\n" ] }, { "data": { "image/png": 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AGIHgCwAAACMMyFQHr9erVatWacOGDfrwww8VGxurCRMm6LrrrtP06dN7dY5du3bpD3/4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\n6D36bRb6bRZfv4Nt0Affqqo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jxw7ddNNN/geU5OTk6JNPPtG6detUVVWla6+9Vj//+c/D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\nA7FceiKjM9HgAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Draw observations from normal distribution\n", "np.random.seed(107) # Fix seed for random number generation\n", "rand = np.random.randn(20)\n", "\n", "# Conduct linear regression on the ordered list of observations\n", "xs = np.arange(20)\n", "a, b = linreg(xs, rand)\n", "print ('Slope:', b, 'Intercept:', a)\n", "\n", "# Plot the raw data and the regression line\n", "plt.scatter(xs, rand, alpha=0.7)\n", "Y_hat = xs * b + a\n", "plt.plot(xs, Y_hat, 'r', alpha=0.9);" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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0hS98QZ2dnZKku+++W3/xF3+hBx54oP56x3H0xS9+UVEU6dJLL9V3vvMdPfDA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\nAAAAjEDwBQAAgBH+D3+DgR8u1GgTAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn\n", "\n", "seaborn.regplot(xs, rand)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Slope: -0.000569342363105 Intercept: 0.00901176731902\n" ] }, { "data": { "image/png": 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fMjIOqKBgdFJNXQGAZGV5mJ0yZYqmTJli9cvAJQoLc1VVVR6ZamCaplJTy1VYmGt30+Bi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\nX/pS5FhTU1Pcc6lx140YMUKS9OGHH7Z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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Draw more observations\n", "rand2 = np.random.randn(100)\n", "\n", "# Conduct linear regression on the ordered list of observations\n", "xs2 = np.arange(100)\n", "a2, b2 = linreg(xs2, rand2)\n", "print ('Slope:', b2, 'Intercept:', a2)\n", "\n", "# Plot the raw data and the regression line\n", "plt.scatter(xs2, rand2, alpha=0.7)\n", "Y_hat2 = xs2 * b2 + a2\n", "plt.plot(xs2, Y_hat2, 'r', alpha=0.9);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regression analysis is very sensitive to outliers. Sometimes these outliers contain information, in which case we want to take them into account; however, in cases like the above, they can simply be random noise. Although we often have many more data points than in the example above, we could have (for example) fluctuations on the order of weeks or months, which then significantly change the regression coefficients." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }