{ "metadata": { "name": "", "signature": "sha256:6ea4fc3b75ec0716da893f634d4aa43c10216b67f4da5707376dfe8b1b9420db" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Sebastian Raschka](http://sebastianraschka.com) \n", "\n", "- [Open in IPython nbviewer](http://nbviewer.ipython.org/github/rasbt/One-Python-benchmark-per-day/blob/master/ipython_nbs/day18_sckit_preprocessing.ipynb) \n", "\n", "- [Link to this IPython notebook on Github](https://github.com/rasbt/One-Python-benchmark-per-day/blob/master/ipython_nbs/day18_sckit_preprocessing.ipynb) \n", "\n", "- [Link to the GitHub Repository One-Python-benchmark-per-day](https://github.com/rasbt/One-Python-benchmark-per-day)\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%load_ext watermark" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "%watermark -d -v -u -t -z -p numpy,scikit-learn" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Last updated: 14/07/2014 15:51:52 EDT\n", "\n", "CPython 3.4.1\n", "IPython 2.0.0\n", "\n", "numpy 1.8.1\n", "scikit-learn 0.15.0b1\n" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "[More information](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/ipython_magic/watermark.ipynb) about the `watermark` magic command extension." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "I would be happy to hear your comments and suggestions. \n", "Please feel free to drop me a note via\n", "[twitter](https://twitter.com/rasbt), [email](mailto:bluewoodtree@gmail.com), or [google+](https://plus.google.com/+SebastianRaschka).\n", "
" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Day 18 - One Python Benchmark per Day" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The scikit-learn preprocessing module for feature scaling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Normalization via Z-score standardization and Min-Max scaling are important data pre-processing steps for many machine learning and pattern classification tasks, and various other data analyses. \n", "\n", "The popular open-source [`scikit-learn`](http://scikit-learn.org/stable/) machine learning library provides handy feature scaling methods that make this task very convenient. \n", "\n", "In one of my [recent articles](http://sebastianraschka.com/Articles/2014_about_feature_scaling.html), I discussed the importance of feature scaling in more detail, but now I wanted to see which approach is actually the faster one, which is especially interesting for scaling of large datesets: **A NumPy bottom-up approach vs. the scikit-preprocessing tools...**\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Min-Max scaling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the following equation for Min-Max scaling: \\begin{equation} X_{norm} = \\frac{X - X_{min}}{X_{max}-X_{min}} \\end{equation}\n", "\n", "will scale our data to a range between 0 and 1.\n", "\n", "\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import numpy as np\n", "\n", "np.random.seed(123)\n", "\n", "# A random 2D-array ranging from 0-100\n", "\n", "X = np.random.rand(100,2)\n", "X.dtype = np.float64\n", "X *= 100 " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Min-Max scaling - Bottom-up via NumPy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def numpy_minmax(X):\n", " xmin = X.min(axis=0)\n", " return (X - xmin) / (X.max(axis=0) - xmin)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Min-Max scaling - scikit-learn preprocessing" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from sklearn import preprocessing\n", "\n", "def sci_minmax(X):\n", " minmax_scale = preprocessing.MinMaxScaler(feature_range=(0, 1), copy=True)\n", " return minmax_scale.fit_transform(X)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Min-Max scaling - Visualization" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import pyplot as plt\n", "\n", "sci_mm = sci_minmax(X)\n", "numpy_mm = numpy_minmax(X)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12, 5))\n", "\n", "ax1.scatter(X[:,0], X[:,1],\n", " color='r',\n", " alpha=0.5,\n", " marker='o',\n", " s=50\n", " )\n", "\n", "ax2.scatter(numpy_mm[:,0], numpy_mm[:,1],\n", " color='g',\n", " label='NumPy bottom-up',\n", " alpha=0.5,\n", " marker='o',\n", " s=50\n", " )\n", "\n", "ax2.scatter(sci_mm[:,0], sci_mm[:,1],\n", " color='b',\n", " label='scikit-learn',\n", " alpha=0.5,\n", " marker='x',\n", " s=50\n", " )\n", "\n", "ax1.set_title('before Min-Max scaling')\n", "ax2.set_title('Min-Max scaling (min=0, max=1)')\n", "ax1.grid()\n", "ax2.grid()\n", "ax2.legend()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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9ezJo0CB+/vlnvYYHjbxv2rSJQYMG0atXL4yMjJg0aRLZ2dkcPXpUf8xbb72F\no6MjDRo0oFu3bnTq1ImWLVtiZmbGs88+y5kzZ8rdhqXpmTFjBhYWFjRr1owXXnhBr786EY6yQCAQ\nCASCGiMlu+zH8WqVmuz8bKxNrUt1dlNzU/Gy8+KfW/9Qz7ReiVFIM2Mz8nX5RKZEVlhX06ZNGTRo\nEHPnzq3wRDlnZ2f9/xYWFgA4OjoabMvIyABkp/yDDz4gOTmZ+Ph4/vjjDxo2bAjAv/71L8LCwoiM\njOSvv/7C1taWtm3blnldd3d3/f8qlQp3d3fi4uKIj4/Hw8PD4FgvLy/i4uL0xz6I+Ph4PD09Dcr3\n8PAgNja2zHoXfW9ubq6v84QJE7C2tsba2pq5c+c+8NqFFK2Dp6enXn91IhzlclLX48eqEyXpVZJW\nUJZeJWkV1H6U1p+UpLeqtTpYOZS5TyfpcLV2ZaD/QOLS4wwm7uUW5JKWm8bARgNRo77viGhlM0LM\nmjWL5cuXGziDVlZWAAahE7du3apU+YWUpd3c3Jznn3+e9evXs379esaOHXvfcmJiYvT/63Q6bt68\nqY/pjYmJMbhOVFQUbm5uQOntU3xbgwYNiIqKMtAcExOjL6Mi9VqyZAnp6emkp6czZcoUQG7XzMx7\nEzhLa9Po6GiD/+937apCOMoCgUAgEAhqjCYOTXC0dORO5h2D7YlZidhb2NPMqRm9fXoz0H8gN9Nu\nEpUSRVRKFIlZiYxvOZ6mTk1p59aOrPysEo5ZTkEOZkZmNLRrWCltvr6+DBs2zCADhqOjI25ubqxb\ntw6tVsuqVau4du1apcqHB2erGDt2LKtXr2br1q0PzJP8zz//8Pvvv1NQUMDChQsxNzenY8eOtG/f\nHktLS+bNm0d+fj7BwcFs27aN4cOHA/JI8PXr1w3KcnZ2NqjX0KFD2b59O/v37yc/P58FCxZgbm5O\n586dK1lzQ1q1asXGjRspKCjg1KlT/PrrryWc9dmzZ5OdnU1oaChr1qxh2LBhVXLt+yEc5XJSl+PH\nqhsl6VWSVlCWXiVpFdR+lNaflKS3qrWaGJkwsdNErEytiEqJIjIlkqiUKCyMLZjYaSKmRqaoVWqG\nNxvOgqcW8Eb7N3irw1t80+8bnvR5EoBmTs1o5tSMGyk39A5zUnYSsWmxjGwxEjNjs0rrmz59OllZ\nWQZO2/Lly/nqq69wcHAgLCyMLl266PcVn5RWuK0sSju+KF26dEGtVtOmTZsS4RPFyxk8eDCbNm3C\n3t6eDRvd5nkPAAAgAElEQVQ28Ntvv2FkZISpqSl//vknO3fuxNHRkTfffJN169bh7+8PwEsvvURY\nWBgajYYhQ4YA8NFHHzF79mw0Gg1ff/01/v7+rF+/Xh+HvH37dv7880+MjY3vq6m89fzss8+4du0a\nGo2GmTNnMmrUqBLH9OjRAz8/P3r37s0HH3xA7969yyyvqlBJNZQkT+TnEwgESqYu2rC6WGdB1VNW\nPyrQFXAl8QpJ2UloLDQEOARgrC7bCStObkEue6/v5a/rf5Gak4qvvS+DAwbTzKlZVcqvEXr37s3I\nkSN58cUXa1pKjRAZGYmPjw8FBQWo1fcf4y2rf1XWfokR5XJSl+PHqhsl6VWSVlCWXiVpFdR+lNaf\nlKS3urQaq41p6tSUbl7daObUrEJOMsgT9wb6D2Rhv4Ws+tcqPun+yWPhJJ88eZLTp08/kjADQUmE\noywQCAQCgeCx4mGWc65NjBs3jj59+rBw4UL9JMK6Sk19piL0QiAQCCpBXbRhdbHOgqpH9CNBdSJC\nLwQCgUAgEAgEgkeAcJTLiYgfqz6UpFdJWkFZepWkVVD7UVp/UpJeJWkVCB4W4SgLBAKBQCAQCASl\nIGKUBQKBoBLURRtWF+ssqHpEPxJUJyJGWSAQCAQCgUAgeAQIR7mcKCkmS0laQVl6laQVlKVXSVoF\ntR+l9Scl6VWS1keBtbU1kZGRAIwfP55p06aVetzrr7/O7Nmzy11uZGQkarUanU5XFTIFlaRi2bwF\nAoFAIBAIHjE3b4KLCxRfLTkrCzIzwdGxZnQBpKen6/+/3zLNP/zwg/7/4OBgxowZQ0xMTLXrEzwc\nYkS5nFT12vbViZK0grL0KkkrKEuvkrQKaj9K609K0lvVWiUJbt0qfd+tW6DTwYkT8MsvUFBwb19W\nFvz4I1y+XKVyHpraHn9dULQRBQ9EOMoCgUAgEAhqjORkWLcOwsMNt0dEyNuTkmDwYDAyuucsFzrJ\n/v7QtStcvw5798pOd1EyMmDzZsjLK7+eL7/8End3d2xsbAgICGD//v3odDo+//xz/Pz8sLGxoW3b\ntsTGxgKgVqu5fv16iXLS09Pp2bMn7777LnAvLCMrK4v+/fsTFxeHtbU1NjY23CrrTqEIqampvPTS\nSzRo0AB3d3emTZumD8u4du0aTz75JA4ODjg6OjJ69GhSU1P153p7ezNv3jxatGiBtbU1165dQ61W\ns3btWry8vHB0dOTzzz8vfyPVIYSjXE6UFJOlJK2gLL1K0grK0qskrYLaj9L6k5L0VrVWe3sYORK2\nbLnnLEdEwO+/w/Dh4OAgO8nPPSf/XbMGVq2SneQnnwSVClxd4do1+Ouve85yRobsTDs6gqlp+bRc\nuXKFRYsWcerUKdLS0tizZw/e3t4sWLCAjRs3snPnTtLS0li1ahUWFhallqFSqbh79y69evWiW7du\nLFy4UL9dpVJhaWnJrl27aNCgAenp6aSlpeHi4vJAbePHj8fU1JRr165x5swZ9uzZw4oVK/T7P/74\nY+Lj47l06RIxMTHMnDnT4PxC/SkpKRgZGQHw999/Ex4ezr59+/j000+5XNuG52sB5XKUX3zxRZyd\nnWnevLl+W1JSEn369MHf35++ffuSkpKi3/fFF1/QqFEjAgIC2LNnT9WrFggEAkG5Kc2GF+ftt9+m\nUaNGtGzZkjNnzjxCdQIBuLndc5Z37LjnJHt43DvGyAgGDJDjlRMToUcP2UkGsLCAsWPhxg3ZWS50\nkps2hYpEihgZGZGbm0toaCj5+fl4enri4+PDypUrmTNnDo0aNQKgRYsW2Nvbl1pGbGwsQUFBDBs2\njE8//dRgX2FYRkXDMxISEti5cyfffPMNFhYWODo68u6777Jx40YAfH196dWrFyYmJjg4OPDee+9x\n8OBB/fkqlYq3334bNzc3zMzM9NtnzJiBmZkZLVq0oGXLlpw7d65CuuoC5XKUX3jhBXbt2mWwbe7c\nufTp04fw8HB69erF3LlzAQgLC2PTpk2EhYWxa9cu/v3vfz8WMzbrcvxYdaMkvdWiNTsbzpyB48ch\nLq5Ki67zbSsASrfhRdmxYwcRERFcvXqVZcuW8frrrz9CddWD0vqTkvRWl1Y3N+jQAUJC4IknDJ1k\nkMMt1q+Hzp2hSZOSMcuFzvLFizB/fsWdZAA/Pz8WLlzIzJkzcXZ2ZsSIEcTFxRETE4Ovr+8Dz5ck\nie3bt5OTk8Nrr71WoWvXq1dPH4px8+ZNg31RUVHk5+fj6uqKRqNBo9EwYcIE7ty5A8iO9PDhw3F3\nd8fW1pYxY8Zw9+5dgzI8ijcoGIxkW1pakpmZWSHNdYFyOcrdunVDo9EYbNu6dSvjxo0DYNy4cfzx\nxx8AbNmyhREjRmBiYoK3tzd+fn6EhIRUsexHjCTJAU61PEBfoEBOnoR334Vvv4WlS2HqVPjhB8jN\nrWllgseI0mx4UYra8w4dOpCSkkJCQsKjklclXL0KF8Jy2Xd9H5/s/4T3d7/P2nNruXbrFsHBwnwr\ngYgIedJev35w+rRhzHLRmOQ+fe6FYRR3lrXae591ZX+2R4wYweHDh4mKikKlUjF58mQ8PDyIiIh4\n4LkqlYpXXnmFp556igEDBpCVlVVif9G/RcnIyNCHYri7uxvs8/DwwMzMjLt375KcnExycjKpqalc\nuHABgKlTp2JkZMTFixdJTU1l3bp1JQYpy8rGIbg/lY5RTkhIwNnZGQBnZ2e9UY2LizP4gN3d3fUB\n74pDp4MDB2DSJIKfeQbeew927zb8VtZClBTrBlWg99YtOHIE/v5bfh5XjVRp20ZHw+LFYGcHXl73\nXsePy9a/CqiWvlCYj6mKUVq/fZyIjY01GG1yd3cvMaJV21Gb5PLh90f4budusvOzib8Yz/4rJxg/\nax+xqfE1Le+BKKn/P4zWnJzStxeNSe7YsWTM8m+/GcYkF41Z3rdPPqYw3KJNG5g8+V4YRkWc5fDw\ncPbv309ubi5mZmaYm5tjbGzMyy+/zLRp04iIiECSJM6fP09SUlKJ8wtDKr7//nsaN27M008/Tc7/\nKi1Jkn6/s7Mzd+/eJS0trVy6XF1d6du3LxMnTiQ9PR2dTse1a9c4dOjQ/+qegZWVFTY2NsTGxvLV\nV1+Vv9Kl6Bfco0om890vb2DhfkXy88/yjAG1Wk7gaGoqP/dZs0YMT9QGtFp5SvSUKbBiBSxfDh98\nIFtUJXw++/bJSUGLTghRqeTnjQcPyla/NhEVBV99BW+8AW++CV98IU81FzwWFP+BVJrdvslxLFtv\nJfN8b/Jue6MqsODOsf44eCZx1WYZoACbUAcwNy+5LSmpZExy0Zjl27fh2WfvOcmFFDrL3buXjEku\nHrNc3p+E3NxcPvroIxwdHXF1dSUxMZEvvviCiRMnMnToUPr27YutrS2vvPKK3gEu+l0p6g8tW7YM\nd3d3Bg8eTG5ursG+gIAARowYgY+PD/b29mVmvSha9tq1a8nLyyMwMBB7e3uef/55/XkzZszg9OnT\n2Nra8vTTT/N///d/D/wOl7Zfad/7R4FKKuftQ2RkJE8//bR+mD8gIIDg4GBcXFyIj4+nZ8+eXL58\nWR+rPGXKFAD69evHrFmz6NChg+GFVSrGjRuHt7c3AHZ2drRq1Uof+1R4x1pj73/7DZYtI6hdOzAy\nIvh/q+4EeXpCdDTB/fuDs3Pt0VsX3//zD0Fnz0LDhgRHR8v73d0hMpLgzp0hMLB26S3+fvVqghwc\nwNr6Xv/63/chOCQExo8naOjQ2qF382b48Ue5/zs6ynrT0giyt4dPPiE4Kqpm9T2C92fPntVPWo6M\njOTHH39U1OhLcRtelAkTJhAUFMTw4cMB2b4fPHhQ/9SwkNpst2cfms3Z42dRZTlxJ+p5kFSYWe7C\n2S8eY18jvuz9JaEnQ2tMn3gvv0/OTmbIgCEG3x1JgrQ0sLWlBKmpYGNj6CCXRmSk/JCue3fD7dnZ\nsGcP9O9f/swXAmWjUqmQJImFCxdy9uxZvb2aNWtWpWx2pR3lDz/8kPr16zN58mTmzp1LSkoKc+fO\nJSwsjJEjRxISEkJsbCy9e/cmIiKixF1KYUVqLUeOyCOUDRuW3BcZCSNGwFNPPXJZgv+h08HEibLl\ns7Q03JeSIlvWYrONax2LF8OFC1DMGUGnk6d1f/21HJZRG1i8GM6dk3MwFeX2bfDzkz+LOkatt2HF\nuJ+jvGPHDr7//nt27NjB8ePHeffddzl+/HiJ42pznacfmE5mXiZmOnuObuoCQPNeF6jvcZfo1Gjm\nPDkHV2vXB5QiqG7O3TpHK9dWtbYfCZRPWXaqsvarXKEXI0aMoHPnzly5cgUPDw9Wr17NlClT+Ouv\nv/D392f//v36EeTAwECGDh1KYGAg/fv3Z/HixY/FUH7hiB/w4FvbGqbwLl4pVEpvXp481FDcSQbZ\nSa6muPgqbduePeVY3+Ix73FxcpBdFTjJVaJXkuCff8DJqeQ+BwfZ2c/Pf+jLKK3fKoniNnzVqlUs\nXbqUpUuXAjBgwAB8fHzw8/PjtddeY/HixTWsuOK0cW3D7eRMzu1piVeLKBy9f+Hy342JuW6BjZkN\nTlal9N9ahJL6/8NotTApPfewQFBbMX7wIfDzzz+Xun3v3r2lbp86dSpTp06tvKragL+/HJus1cqB\nUIXodLLj0LRpzWkTyCPJ9erJz9WKJ33PyCg5SlsbCQiA55+HX3+V+5qRkexwennB6NE1rc4QY2O5\n7xf9LoD8XVCr5Zeg1lKWDS/K999//wiUVB9tHLqz8EguVi7heLZKIeZ8Fhq/45za04gPXuqNkdro\nwYUIqh1fzYNTrAkEtYlyh15U+YVr8SM8PZs3w9at8rI+1tby6F9CAvTuLc8SqOUjy48927fDpk1y\neEzhZ6HTybM3Xn0VunWrWX3lJT5ezoWUmQmNG8s3Ycbluod9dKxbB8HBJRObxsZC+/bwyis1Iqsm\nUYQNq2Jqc51DQiD6ThLR9j9y8bYcXmJvYU8PzShSLrdi9GiVMNm1gNxcMDevvf1IoHyqOvRCOMr3\nQ5Lg2DHYtk1+HO7kBAMHygvLFx9ZEzx68vPlbBcnTtxzlCUJevWCUaPEKGdVkpQEs2fL8d9OTnJ7\n374NVlbwySelh2U85ijChlUxtbnOhbJUKkjPTSdfl4+duR1qlRpJEuMatQX5wVTt7UcC5SMc5Roi\n+MABgnr2rGkZ5SI4OFg/y1gJPJReSZLTll26JDvGTZvKeYWq6VexTrVtcZKT5enjR4/K7d6pk5z5\n38GhSopXWtsqzYZVBUqqs9L6k5L0PqxWJfUjgfKoake5lj3frcWI4YjaiUoF3t7yS1C9aDQwbJj8\nEggEgkqi0Wgei0n+gtrJ/VYhrQxiRFkgEAgqQV20YXWxzgKB4PGgWtPDCQQCgUAgeDwo9BXSc9O5\nnXmbfG2+wXaBQHAP4SiXk7qS47LC5OTIcasffigva7xkiRwzXAFE21YfStKrJK2C2o/S+tOj0nvp\nEvy4MZ1vj3/PO7veYcreKby76102hexj+QpduVKii7atPpSkFZSntzIIR1lQefLyYOFCWL9ensps\nYwNnzsgr4l26VNPqBAKBQFCMBl5ZbD67na1/GOFWzwNPW0+McpyZtziBLMeDmJjUtEKBoHYhYpQF\nlefoUXkEuWgeY5BXzDM1hS++ECnaBI8tddGG1cU6P24cjDzIylNrST89EBOzfLxaRHPurxZ4tgpH\n5XKehf0WYmVqVdMyBYIqR8QoCx49f/8tL7NcfPayrS3cuSMvpCEQCASCWsO5hHPYWFrQ7MmLpN62\n5eSWdjRsfQN3/7toJS0xaTE1LVEgqFUIR7mcKCkO55Fpzc+//4ixVluuYkTbVh9K0qskrYLaj9L6\n06PSa2FsQYGugNxMc7QF8sJZyXEaJJ084GGifnDshWjb6kNJWkF5eiuDcJQFladtWznMojhZWfKK\nba6uj16TQCAQCMqkk0cnku6qOburJX7tIug2+hD5uSacPuCFjYkdXnZeNS1RIKhViBhlQeXJyIBZ\ns+QV21xd5WW909PlpY1ffRW6datcuVqtXI6FBZiZVa1mgaCKqIs2rC7W+XHj9h0d/55zghzPbfg2\nycDc2Jy76WlcPdSGwc378s4LnpWeWiJJEhISapUYgxPUPsQS1oKaISkJ/vtfOHFCTsLp5ARDhkC7\ndhVfzVCng337YNs22VE2MoLu3eXyrBQ+uUSnExMbHzPqog2ri3V+3IiPh1sJWvIcTrH3+l5Sc1MJ\ncAggyKMPMaEedO0qm97ycvw4YJbMFdVWjkQfQStpae3amo62z3L3hjv9+lVbVQSCCiEc5WrmYde2\n16PTQUQE3Lwpj5g2bSqnVatCqkxrRcjJkdPFWVtX2EHW6/31V/jjD2jQQG6b/HyIiwNfX5g8mdqQ\nt6hCbavVwuHDsuOfmCjfRAwYIDv/j8hprpG+UEmUpBWUZ8OqAiXVuSr6U36+bHbSctOITYvF1MgU\nbztvkIxQqar2a6yk/l9Ua+i1ZCZ8cRjnJ0IICAC1Ss2NmBzCD7Tjs1c70beTe82KpeJte+oUOHmk\ncT7lEMdjj6NWqenq0ZVG5l3ISLaiefPao7WmUZLeytov42rQIiiLjAz49lsID7+3zcQEXngBOneu\nOV1Vgbm5/KosqamwfTt4eYHx/7qliQl4eso3FqGh0KpV1Wh9VGzYAH/9Bc7Ocr0yMmDFCoiNhVGj\nalqdQCC4D5IEy5fryHbbQ5hqM0ggIWFrYo9H7EQ6NWtAp041rbLmuZizB7fOJ7gb0o+UeuGYWeWQ\ncKwrPu1PcEZ7nb5MrmmJFSY5K5UPZhzAtdseGjhaopN0rDi8laQTWua82h1Q+BNOQYUQI8qPksWL\n5VtVD497o645OZCQIC/S4eFRs/pqkrNn5ZsIT8+S+27dgo4dYfz4Ry6r0sTGwscfy/UpOuyk1UJM\nDMydCy4uNadP8NDURRtW1+q8+vBOvl+RQtsed3D1SUKnVXHqr4bkFOSwbtozuNmK7/C7u97F3Nic\n/BRH/tnWBoCmQaE4eN0mOjWa7wd8r7i8zCtPr2Tr/lvkRrahVb+zaPONOLenJRYBBxnXtw1Dmgyp\naYmCSiDyKNd2kpLg5ElwdzcMTTA3l0dQ60CKlftyv6A4rVZ5k/ouX5b/Fn82W1jPwv0CgaBWklOQ\nw/GUP+gy6AY3TgaQcN2JsINNsTS1xLvLSQ5FH6hpibUCveOhuueAqNTy/xLKu6kq0BVw7OYxmj+R\njUfTGI7/tyMnt7TDr30ETZpqOXBDfO51DeEol5OHzhWYnCw7SaUFtdWrJ48yVhFKy2sYHBwMfn5y\nqEVOjuFOnU6OfW7Tpka06UlLg/37CZ46FfbskT/PyvIIR+SU1BeUpFVQ+3nY/pSYlUiBrgB7xzya\n97rApUOBJEY7ENgjFHsrWy7frdqbXSX1/6JaO3l0IjImlwt7W9A0KJQ2g/7hylF/rl4xIsAhoEZH\nk3U6+e/uvbuJTIkkISMBSZLQ6co2wwW6ArQ6LUYqI+xcUvTbbRzTMFGbkFOQU/qJVYSS+gEoT29l\nEDHKjwqNRh4ZLS37QUYGtG5dM7pqCxYWMHYsLF0q3zjY2UF2tjwJrkcPaNSo5rRdvQpffy078Xfv\nytPG//tfePNNaNGi9HMaN5afHBT/vHU6eXvjxo9Gu0AgqBSWJnJsqrYAos57YV4vm4J8YxKjHVA7\n38HN2q2mJdYKWlg+xaK/LXBsdQiNpzyZz7XTfi4faMMLrTvWmK6CAli6VIdp4B62hHyPc6YzOnR4\nW/viFPVvOj9hT8uWJc8zMzLDR+NDVFw20YdaEtgjjPwcE87uaoVr19208SnlJMFjjYhRfpQsWgSn\nTxvGIufmyo7XrFnyhK+6zpUrsGMHXL8u31w89ZQcn1yRfEVVSW4uvP8+mJoaZifJzJRHmefPlzN9\nFEeSYO1a2LtXjkW2spJviBISoG9fGDPm0dVBUC3URRtW1+o87/ACdm+1QWOhIbBHKFmpVpzb0xyL\ngGA+HT6MVi4Km2BcDRw9CpJZMlfUv3M05ihanZaWLi3pbPsciTfcGTCg5rR9v3MXq35Opkv/GOq7\nZqEtgON7PDBSGfHT9Gext7It9bzDoVd4b94ZAjtH49M4C0mSuHTOmugLbiyb3oUWXqXMpRHUekR6\nOCWQng7/+Y88QqlWy86UkZE8Sa2yi3MIqpczZ+RJhqXdxERGwksvyZ9dWhpERcnx5r6+smOt1cLB\ng3I2j7t3wcEBBg16pOnhBNVHXbRhdanOkgTLf0xjS/gW6rfZj42FFfnafJLvmKG+OJZpLz9B00Dx\nPS6KTtIhSRJG6hoa2ChCZl4m7+x6B5OUJkQcbU7ToDBuhrkjSVCv9Q5GtBhKP7/Skzz/+itQ/woh\n+au4nXkbAHcbd1pqX8GqwJP+/R9hRQRVhnCUq5kqzaMcHi47VZaW0Ly5HGZQhSgpryHUcr2HDsGq\nVeDtDUBwZCRB//ufmBh45hn5Gd+OHfeC3iws4MUX78VVS5LsNBsZVXwRloekVrdtMZSkFZRnw6oC\nJdW5KvpTWBi4N8zkdMJJLt6+iJWJFZ08OmGb3xhjYxWOjlWjFZTV/5Wg9erdq8w9MhcPWw/O7U4i\nOX4IJuZ5dHr+GKl5SVjnNuGFli+TZHqGg1EHycrPooVzCzq6dif6ij3t2oGEjsSsRNQqNfUt6v+v\n/1evGVdC2xZFSXpFHmWloFZDQID8EtR+nJzK3qfVQnQ0hIQY5n/OzITvv4fp06FhQ9mqGj/gq5ab\nK49Qg1zWw+SkfpTk5sr1P3JEvmFo317OCV5aOIpAoDACAwGsCPIOIsg7qIbVCCqCubG5PsY8KbY+\nRiY6JJ2a9LvW5FnewhQr3v/6OKpm/8XdQ4uJkQm/X9zOd0szGNm+H+3aOaBWqXGyMvwNeMRjHdVK\nodOfW5BLck4yViZWWJtZV/vNgNIQI8oCwf3Q6WDGDLh9W441LrQet2/LKeuys+UnAsUd2/h4eYLm\nhAkPvsbhw/DTT7LTCXLYxrBhEBRUu61VdjYsWCA/IdFo5JvA5GRwdISPPgJ7+5pWWK3URRtWF+ss\nUCY6ScfUPdM4e6ARVib1aBoUSsotDWGHGmPbdifPdejAL3+fIuPsUzTtGYp1/QzO721OnuktOvdO\n5JPuH6O6j/2VJDmK0sUznVPxJ4lIisDe3J6OHh0hzR17e/mhcW0lJwdWr9Fi03o3h+9sJV+bj4TE\nE07tsQgfS89ulvj41LTKqkWMKNcltFo5dKOgQM7LXJu/jUpHrYZ335VHiG/cuBdb7uoKI0fCN9+U\nPvqr0chW9EGcPw/Ll8vlWVjI23JyYPVqsLWFJ56o2vpUJfv2yXUsak1tbeXl2X/9FV55pea0CQSC\nOo2kU9Mg5h1Oabdi3X4n6fk2FNglUK9lNMahozhvfxJ3rzzUtpc4v7cFOq0aF99btOwcz42UGBKz\nEnG0Kju2Jj8f/rs9iZDsn7Br8g+WphbkFuSy8e9jaK6/xrR/+5e6flZtwdwcEm3+YuXSZLo97YqL\nRiI/X+K/m9Vo6m1hxPAhgMLWL6gmxEyEclKtuQK1Wjh3Ts6KMX++nCkhPb30Yy9ehEmT4LPP5NXd\n3nkH/vzzXsLI6tZaDdR6vfXry2EU06cT3L49TJ0Ks2fLYRUgf37Fyc6WneUHsXWrPCJd6CSDbMHs\n7eH33x8653K1tu2BA/Ly3MVxdYXjx+X81xWg1vcDgaKoDf1JkuREN9n52Zy4eYJtV7ZxPOY42fnZ\nJCQYfr1rg97yogStajV0aunEhumD8U33pr5lfZo4NOHT/xvL7DfbUKDOxNTIFBvHNHQFRiCpcPFL\nQK1WoUJFrjb3vuUbm+hI8l9IapwDuus9cbR0wjq7GUmnepPkvRyVbeXWRnhUbZucncx1y020bJtO\n2N4OZKZYcvlgCxytNVi33MPFO+fKVY4S+sLDIkaUaxqtFpYtg2PH5PzBJiYQGipPDpsyxTBGNjpa\nzuer0dzLwpCXB5s2yY5W7941U4e6gEolj5wGBNzL6WxlBR06wIkThin/dDp5JcaRI+9fpiTBtWul\nL9ttayt/3gUFcp+obpKS5Djj8+fl+OLu3eUc0fdLy5eVVXp4hVott0F+vhxGIhA8RkRHw7Ub+eS7\nHWDP9T2k5KTQyL4Rfb2eIfZcE/r2vdftk5Jg4ZIkbrp9h5HDDYxURmglLdq73rjdfItJb9THwaFm\n6/O4olJBu3YADnTz6kZQ96B7O52hU74vW0OvEnGyGy5+8Tg1vE1ocCB+3U5jZmdWIja5OJEpkdwt\niKHzIDPO7WlJyi1bstMsaR4URma9ZI7dPIaHrcd9y6hJolKjUKHCI/AWKow5+Ud76tmn88TA09zO\nNiP0Tijt3dvXtMxagXCUy0m1zeo8dUpOROnjcy8eVaORY1w3bID33rt37F9/yZPCik6UMjUFNzfY\nskWOaTU2VswM1EJqpV6dDiIi5Fhka2to0gRMTUtqHTZMzn4RGSmHwBQUyLHGPXpA27b3v4ZKJd8c\n5eQYjiiDfANkbv7Q+aPL1bYxMfLTiexs2UGPj4d//oEuXeDll8vW0Ly57Fi7uBhuT0uTR5UrGBJU\nK/uBQLFUV3+ytdPy3dbDZGpO0qK9Ctd6rkQm3uLfPx1lSHsdA02a6o+tZ5vLrYYLiTzUhtY9Ndi7\nJZEUq+HMMW+Muv6HenZTAfNq1VsdKEkrlK63k2sPvl+agbl1Ai07x6FWq/DrcpYTu71496VOmBrd\n/yY/My8TFSpMzPPxbhXJxf3NsK6fjp1rMgVZZiRlJ1WZ1vtx8iSY1Evjim4nh6MOU6AroL1be9rb\nDeJOpBM9e5Z+nqmRKahAp1WTHCc//czLMSU3ywytpMXC2KL0Ex9SrxIRjnJNc+CA7BgXnzTg7Cw7\nISkp99LHXbpU+uN8Cwt5BbsrV+DCBTmnkY2N7Di3bl1zi3VUJzqd7NiZmlb9iGtSkpw7uTALBcjt\n+YhkHjkAACAASURBVPbb8lLbRbG1hU8+gbNn5fAZCws580OjRuXLlfzUU/DLL/eyY4A80hwXJ6ee\nq+58y5Ikx0OD4ci2g4M8wtyuXdlx0gMGyDd6qalyO4Cc8SMxUb7Bq80TEQWCShKVHYp5m41kH/8X\nd8Ju4x4YS+zf7XBzS+Ra/e/J0y7EzFiO7bx4+yLYxNC2rx0X9zfD2SeBhOvOtO0TSrJZNBdvX6Rt\ngwfcUAvKTXw8ODoXEHYnjBvJN6hnWo9WLq1Q59bHwsJwOkn0lfqMbN+fm66LiUqLRo0aM3sz3h7f\nkdzwbui63d/8OtdzRifpSIq35spRfwJ7hBJ9wYsbp31Q+0Thq/Gt/goDZjapvDn/EE5t/qGRnzVq\nlZr9Fy6y4qANs17qBpQSHgf4anwxU1lx+i9fLMx0dB9zkPirrpzZ2RL7TlG0c2v3SPQrAeEol5Nq\nyxWYmipnTyiOWi2/CrMqgOysJSWVHH3U6eRyFiwAtZrg9HSCnJzkxU169JBz+tbiBS4q1LaSJI/A\n//67vIiHsbFcx8GD5dHZh0WSYPFi2VEtzJcM+vYNHjSIoIEDDc8xM5NDMDp0qPj1eveWQ21CQ+/p\nz8wEf3+qIqv9A9v29m15kmLx8A+VSnZ+Dx4s21H29oYPPoAff5SfR4M8+v7GG5WahKikfJyC2k91\n9aeQ2BBsbNR49z/HqT/bEHm2IW4Bsfh1iCYmNZfryddp4tgEgJScFCQkbJ3ScAuII/KsN14torB1\nTiXmiiMhZzJIzz3A/sj9XD55mf59+tO9wVPEhLnRo0ftNdsP07Y5BTnkFuRSz7RelS5MotXChl+y\nOC/9jNr7MEYqI3SSjlVH/yBrd0dmTxlF03uD/bRvD+3bOwLTuZ15mzxtHk5WTpgZm6ELenDbO1k5\n4at6ki27zOjcNwx7txQ0rikc3eaHdU5r2vevxO8BFW/bywW7cW4XQsrpvmTZXMLUIo/bx7vj1iqE\ni+oY+vBeqecZYYZ7zEQua3fh0vosOTpbzD0vYJwWi9G5l9AMLF/Ki7pgtx/aUf7iiy9Yv349arWa\n5s2bs3r1ajIzMxk2bBhRUVF4e3vzyy+/YFfFi2o8NjRtKjsjVlaG23Ny5Nvf+vXvbevVC5YskR2Y\noqN1cXGyI+fuLjvVkZHyeRqNvGBGhw7yY/LHgd275ZAUZ2c5Tjs/X86+cO2anJLsYWNio6LkkIvi\nK/HZ2sqj+1euQHFH+WEwN4eJE+VJmiEh8k1Pu3bQsuWjiU3OyZF/EUob/TU1lZfdvh9NmsDnn8Ot\nW7J2F5cH54wWPHJ27drFu+++i1ar5eWXX2by5MkG+xMTExk9ejS3bt2ioKCASZMmMX78+JoRW8vR\nSTrUKjVqIx1qtTwbz8Q8794DIe7N0KtvKdvvpFgNsZcb4NPmGjGhHtg6p6IyucvG31OxiziOX0Au\nJkYmHI44xaoVxozv8SRBKvdHXrfq4upV+Od8FpkNN3Ls5lF0kg4bMxt6uf4fd890ZeRI1UObbiMj\nyG+2kmu/2NOIHni0iiI7zYJTfzclq95/qefWFbhn1++ZPBXO9QxHXctzg5KbC2ZXh/P04E3cUJ0l\nI1WNJEm0eioLh6sTiY+0wfYRLJdwJPoIvj6W5NiEcnZXawCadLuEo08+5xPOk1OQg7lxycxMkgTd\nWzRkxPAB7I8yISIpAk87T14Y0wspvhU6nXgiWMhD5VGOjIzkySef5NKlS5iZmTFs2DAGDBhAaGgo\nDg4OfPjhh3z55ZckJyczd+5cwwuLfJwy8fFyRgUrq3sjx3l5ctzo6NHyo/lCCgrkVGLHjsnHGxvL\n2THMzeW4UH//kuUnJMhOV3ny+dZ2srLkVG0ODiUd4hs35JHM9g85+eDUKXlEubQJdrduQceO8pLj\njws5OXLmlPr1S7ZpdLQc/jF4cM1oq+UoxYZptVoaN27M3r17cXNzo127dvz88880adJEf8zMmTPJ\nzc3liy++IDExkcaNG5OQkIBxsZsepdS5OjkVe4qF/8/emcdFdV7//31nYYZ12PdVQQRUcAHEFY17\nErOnWZpmtWmzfrM0+ab5tU2/aZukSZs0bbY2TZo0TZo9ms014q4oCqggirLvCDPsAzNzf388QUBQ\n2WfGzPv14qWz3Xvu5ZmH85znc87Z+TqG/Zfj4dtC+LQScjYk4R1RgUvMfl5a8RIuaqHP7zJ38bN3\nnyd/Zxypy4rRBRgw1HqQuWECXkkZOLl00rz/CmJSC/EKbiR3YyJKrwomp5bwzJI/nLeOrz3R3Gbk\npqe+pk1VzuxLalErVZxuMLPnq0ncuDKKR66bN+Jz1LbW8timxwhyiiFnQxIefs00VnkSMa0UOWg/\nCyIWcEviLaNwNT10x7NqWmqobqnG1cmVKM8oTF1KnJzGR3127zf3otPo6GryYv9aIZdIXJaDZ1AD\npYZSXrn0lTPj8YfOcOevEW3seHh4oFaraWtrw2Qy0dbWRnBwMOvWrePWW28F4NZbb+WLL74YyWku\nboKCxPa1k5OIZpaVCY3nDTfA0qV936tSwU9/Kt6flCT0srfdBvfc01+O0Y1afeGooL3QXTt6oNCD\nmxscPDjyc+h05y7J1tnZP3HN3tFqhTNcVtZTzk2WxRjUamH+fOva52DEZGZmEh0dTWRkJGq1mhtu\nuIG1a9f2eU9QUBBNTU0ANDU14ePj089JdiCI9UykJetK2p1PEj7rKBqXTiYs2s7xPCdimu7q45Q0\n6dUEld/LlEVHadTkUKwvptEpl4RFh+k4sgJvFw8Slx3m2M44dn0wD12AgWlzqqhtq6GyudKKVzm6\nHD19CF3yV7iZwzm5J4H2Zi0nvpvLlBktHNO8Q2tn64jPYegwoJSUaFy6iJ1bQHVhILIsERxbiauT\nK1UtVaNwJX3p1jwHuAWQGJhItHc0SoUSjWb8UjRSglMoKW8nZ9M04ubnk7TiEHnb4zh1CmJ8YhxO\n8igwopnQ29ubRx55hPDwcJydnVm+fDlLly6lpqaGgO/rqwYEBFBTUzMqxlqTMdXhTJokqg6Ulwtn\nJSTk3I6vUilkFL2lFG1tYq+oqwvUajKKi0nv1tc2N4syXzbMoO/t+fbDLJbRSVqcOFEsXurqRIe5\nbr6/xxmdnaSP/CzjxqDubbcWet06MYZkWUhP7rijr/RnjPkhaN2sQUVFBWG9yheGhoayb9++Pu9Z\ns2YNixcvJjg4mObmZj766KPxNnPUGavxVFej5rYFS+iIbCWj+DhGk5EA1wCeeXQytYeS6ezsWct7\ne8Mj9+lw83icY/XHaGhvwMvZizjfOH7r9TItCiMaRQeyDPrqbOIXqs/U8TVZTKNu+2gx1Ht7qPoQ\nOhdnopYcZv/aZKoLg4hOKSQ0voZSg5kSQwnxfvEjssnHxQcLFloNGvK2xROZVExtkR/F2RHUtewn\n7aq0ER1/vBjqvZ2pW8nfd7gTNG0ffhNMSEgEzd5BfsZUbp8+9uXdfgjz9ogc5ZMnT/LSSy9RXFyM\nTqfjuuuu47333uvzHkmSLprtozFFoRh4u783XV2iqsXZWlYXF6Gb/fRToVOGnkr3Oh2k2ccEcUGi\nosQCoq2tb+kxWRYJcMNJpjsbhQLuv180fikuFlF8s1n8e++9Qgt+saFQiPFzySVizGg0QgPu+N5e\nFAxm/v3DH/5AUlISGRkZnDx5kqVLl5KTk4N771KUDgBRyXPCBC3wI66Lv5ZOcydalVbc57M0qZLU\nXahIzdSAvnki82IT+E9WASczFxMyuRL/yAIKM6/CaDKiDdYS5B40Xpc05jgpnTDLZrqMaswmEfBo\naXA9s3mnUox898Lb2Zt413l88oEL05JLCJlcRXBsJZnfxNHcFsL88Itzd+x0qT+/vXMeeYpyDlUf\nAhnio2O5c3oKTaWRYMPNXe2FEY3OAwcOMGfOHHy+jzpdffXV7Nmzh8DAQKqrqwkMDKSqqgp//4EL\nd992221Efh/59PT0JCkp6czKpLvbi6087n7OavZs3AiffEK60QiurmRUVsLataTPnw8PP0yGhwfE\nx5NeUkK6QkHGvn0QEUH6E0+Au7vV79/5Hqenpw/+/T/5Cbz6KhkGA7i7kx4QADU1ZOh0UFd3Jto7\nIvuCgshYvhxOnRLH9/Qko7UVDAabuF8X8+NubMWe3o+zs7PR6/WAyM+wF0JCQigr6+kSVlZWRmho\n30Sx3bt38+STTwIwceJEoqKiKCgoYNYAtcDtZd4e0rwyzMc7tu845+sWC3z7bQZqbSe+8b60dLZQ\nnF1MqEcoM6YvZrrvHJ78aA9K9w0kXeqNUhHAoe8+YMcnoTzx8K04KZ1s6n6O5HFqfCqb8vaT9YmE\nf+RGZl+jI3fzVLa804FvbCNRl0WN+HxmM5z8LIwQ7610BVZRrIfqI9WovQ+QHvQS9UXBHG+wjfsx\n2vPgkrR0lvAAG7dsRJZlls8TuU0ZjRlkZNieveP1+KWXXiI7O/vMfDVcRpTMl5OTw80338z+/fvR\narXcdtttpKSkUFJSgo+PD48//jjPPvsser3ekcw3Ur78Ej7+uH+93ZISuPxyuOYa8ZzRKPSlzs4D\nd027GCgogK++EqnUOh0sWyY6yY1HlQgHDr7HXuYwk8lEbGwsW7ZsITg4mJSUlH7JfA8//DA6nY7f\n/OY31NTUMHPmTHJzc/E+aw6xl2u2BU6dgr//p5a66BewONeJ+yaBi34WgVV3sGyRCyXVeqoD3yWn\nJhsAT60nC31+ROORFH7yE8lmy8MNldMNZu5+ejetAVuIm96EVqWlvqmJo98lcfWMdB6+LXpUNrD0\netDpZIr0RVQ0VeCsdibeLx6502VMSu47sC+GO3+NyFEG+OMf/8g777yDQqFgxowZvPnmmzQ3N3P9\n9ddTWlp6zvJw9jbhZvSKJluFBx4Qzu/Z2mWjUcwOr7xyRsNrdVtBSEO62y9fYAY8p72nT4umK21t\nYr8zNtbqhUVt4t4OAXuy155sBfuaw7799tsz5eHuvPNOnnjiCd544w0A7r77burr67n99tspLS3F\nYrHwxBNPcNMALdjt6ZqtPZ70HXrufP0V6vOmkHrpMVx07dQV+5G13Z+Fl1fw7JUPAhKSBC2dLXy3\n9TsuXXopSoUSWbZt5dNQ721FBZSWm+gM2MXmU5vRd+iZ5DuJJeGrKD88kfT0sXVirT0WhoI92Qr2\nZe9w568RC4Mee+wxHnvssT7PeXt7s3nz5pEe2kE3siyS8gbqyufkJJqSmM1WdyIBYcu334p22+3t\nQjN9xRWinfNQZv7Nm+H99znzF8NsFkmPDz44Oo1FHDj4AbFy5UpWntXA5u677z7zf19fX7788svx\nNuuiZn/FfjyiCvF18SVnQxIhcRWU54UyZ1UONdJRSg2lRHiKur5uTm54aDzONOCwZSf5fHRP1yaL\nCUOHAa1Ki6uTK8HBEBKiAhayMHJhn8/EXWSFhBxcfIw4ojzsE9tRZMIm+N3vRBe1s+UUer3ohvZ/\n/2f92bWrC55/XkgjgoOFE9/UJKQgt94qutANhsJCePppUf3DyUk8J8uihFlCgpCZ+PiI63bgwEr8\nEOewH+I1D5e3D71NZkUmAW4B5G6aSkOFD/ELj+IfVUeZoYx7U+5lRpD1M63MZlHO393XQFZVFtUt\n1QS7BzMzaCb6WndCQgYXgzGZ4J13ZHySdrG19mNaOluQkZkVlIxH8Y+ZMcWd+JEVtnDgYERYLaLs\nYJy48kr44x/7yi86OkRL65/8xPpOMoiKHAUForVxtz06nSg2+dFHMHfuucve9WbrVvGZbicZxLWW\nlcGOHZCdLSozLFwI118/cAtwBw4cOLAiAW4BGM1G6or9aGlwJ2RyBSf3R+Pm3YIFC55a2+hW29gI\nL/6jmvLAV3EOKkWj1NBp7uS1r3cQVf8z/vdBPwbTWFelgjbfnbz61zLSLvMizNcLk9nM52vNqI3r\nuezSSwFHTV8H9ocN7NXbB2dndwJCeLV9u3De6urG1oApU0SzkeZm0TGttFREk++4A6ZPv7Ct40FW\nlijbdrbTrtGIcENR0YAf62dvZWVfeYXZDLt3C82ym5uIJgcGCnnGv/41qpdwIax2b4eJPdlrT7Y6\nsH2sPZ5SQ1IxlIVwdHcEU5fkEjP7BJFJxez6ciLecgxRnlF93m8te509Wqmb8BLVB1Nwa5pJkHsQ\nzo3JVGUnUhvzJ5zdjP0+M5CtbV1tHFb8m6S00xz/Lo1WvQuHvkpF3RaGPO09ntr+S17d/yoHKg7Q\noO/i1KlxuLjz2Gur2JOtYH/2DgdHRHk4mM3w7ruwbVvPc5Ikqk9cddXYRXfnzRO1k0tKeppCaPv3\ncLcaF7rus183GoXj390RrpvwcNGmu1taUV0t3ufhIf51dhbhi4gI8b4rrxR1fx04cODARmiu9SG8\n9mc4z32J08o69AYlZv9iomdMxyP/fjqWS4PaYBtrcqpzUOiqmbW8gNzNU6ktakRf7UXqqhzqpGqO\n1h0dlESkvKkck8VEeOxpVIoi9n+RgqHemRbPPUh1JTSbTtNl6WLniRxa91/LA1csYMIEx26gA9vH\n4SgPkj5ZnZs2CXlAZGSPeMtkgs8/F8lrKWPYDUejEUlt58FqGajJySK6fnbKdkeHsDvq+wiK0Sju\n1XffgdlMukoltMyrVwu5xaJFYhHS0SEWAqdPi/vc1CSc426phUIhzlNWNm6Osr1k93ZjT/bak60O\nbJ/u8WQ2i+kkbEopW8vWk1+fj4eTB0smLMGlIQ1/XxW9GheOGqGh8OQDITi5/4rs6mz0HXpCPUKZ\n4j+Fhjqnfk6ytca/vkOPQlLg7ttM4MQayo6GETXjFK5erdQ1QpOxqd9nBrK1u2mILIOhRgeAyaOQ\nLpdS5IM/wm3JfjykEE7tTcQSsI/2YCNw2Vhe2nnttVXsyVawP3uHg0N6MVQsFvjmG9HmuHeGg0ol\nJAFff20926yJLAs9so+P0Cq3tYnnGhqEROXGG4XTK8vw2muiMoafH4SFic98+SW8+aZ4PTIS1qwR\nSYDFxUJE19wM/v5CgnI2Do2yAwcOzoFCAXkVJdzx9BYyS3LQKDU0GZt47tMN/O7tvThpzGNyXpUK\nfH3BQ+PBgogFrI5dzYygGTgpnQi0oUoPQe5BWGQLtUX+1JwKYPK8Y5TnhVJf6oMkSfi5+AFC6SfL\nMqWGUnaW7iSzIpNmYzMdHSKmEaGLwMNJR/a2cNqbnZl303ZME78C/QRwrcOw48ccWJtMYHQNSSnN\nbDq5ycpX7sDB4HA4yoPkjA6no6Nn+/9s3N2FvtbKjLtmSK8XiYZPPSWiv01NIoRTUCCc21/8QjQE\nAVGF/9Ah4Qx/Xzgzo7JSPM7MFNprEIl/L74IP/+5aB09bZqIWPcuttnaKjTRF4iwjyb97q0sC316\nSYlYHNgY9qQfsydbHdg+3ePJIps56fcXfHwt1O1dhsriSnt5LJ0n5qOe+T7VliPWNfR7rDX+E/wT\noHYK2TsDSVyWQ2B0NdOWHOZARjBO+qlM9p2MLMN773fxP298xq+3/prfvfs7Xt3/Kvd/+Qt+/ZcT\nZGeDQlIyofZ/aGgAv9SNGGlGCsxBHb0NjX4aUqs/XUY1wZOq0Kg0NHc2j1sFFXuaW+zJVrA/e4eD\nQ3oxVDQacHXtkQX0pqUFmwgVWCxgMAhbx1rDbLHA3/4mIr8REUIKERkpStm5ucFjj/WtXlFY2COZ\n6I0kCaez+zggFh6pqeJHrYZPPxWOsYuLcMZlWTRisVZEuaYG3n5bLAgUCvGzfLnQTKscXy0HDmyB\nUkMpBqOexAVlHN/jzM7356NUm5h52UFaVLC7bDeJgYnWNnNckWUoLwe/oA62HjlK89G5+KW9Rbml\nBbnEHyeXCmavNKM7fg9NBiVeXuCU9Al73zYRl7CAQLfthLpEk7U+nnLXdfw05koslolMDY9g1aol\nbC01k1+Xj5+LH96xztQVRxE8uRytayc5GxMJnfcdMf4xSLZQrcmBgwvgqKM8HL7+Gv77X9EtrvuL\nbjYLJ+/nP4c5c6xjlyyL5LbPPhOSB0kSTuZ11w3crGQ0OHEC/vCHHue2N8XFcP/9MHNmz3PffScS\nIQfqvV5UJCp7zJ3b/zVZFg5pRoaI4E6YILTMwcGjdCFDpLUVfvUrEUUOCBD3uqtL6KVXrhRSEwcX\nNXY9hw0Te7zmE6dP8MzOZwjXhVNdGMixnZNRa7pIvWYvBlMtE7wm8FDaQ9Y2c1zp6IDnXzaQp34H\nTdRBpC43ZFULddVqXI7dxT23+bMwKYL2NgWurtDa2cqD6x/ESxHO0U2z8AmrR1/tiYdfE65xO0gO\nmcWamWv6nWf78UM8+vxhYuLbiJlejSzDscwQSopUvPLEbGZGxA1g3dgjNiNlivXF1LbW4q5xZ5LP\nJIztqgELNzm4OHDUUR5Pli8XDtHevX2fX7UKZs+2jk0gnMi33hJyh/Bw4bxnZooo7m9+IyLho01N\nzblfU6mElKK3ozxlyvetm0x9o65dXaBUQtw5Jk5JgsmTxY8tkJkpFiO9HX61WiwYNm0SY0Gns5p5\nDhw4EIR6hKJSqCgr8KEsJ4rkKzMpzwvl8OZpeCR/yfT46Rc+yBghy925zzJ1bXV0mDrwc/HDWe2M\nxTJ2zVadNBaaJv+Vsq8nEes0j7CEcprroyg5FIdz0lriYx5EISnO/MnQd+gBcHWzMGXxETI/Fwnr\nMy49SFuXByWGkgHPU3UoiVuWShx1eZ1Sg6hu5JNQx9yweynPjmPmAPGVsaatDV58uR39hLep12Se\niWq7mILxOf4It9/gfSbv3IEDcDjKg6ZPP3OVCu6+W0QOCwqEgxcfLxL8rEVnJ3z8MYSEkFFdTbq7\nu7ArNFREdvftg8WLR/+853O+zWb6Var39xfShE8/FeXe3NzIOHaMdA8PEYU9u/OgjXFmHOTlDdxK\nWyla0FJRYROOcp9xa+PYk60ObJ/u8eSsdmaa5Se8vaeUtMv24OoJE1PzydzqT+feZSSuHMMqRRcg\nNxf2HGqkPvJ1du7cRsjUEJQKJanu12DMW8pPf6oYExVXsb6YestJ5l2uJGdDEs317jRWeZEwr4B2\nXQ37KvaxOnb1mfd7aDywyBaMHRL5OyYjsxVXXSqluRFoJ2YS6Rk54HmuvlpCrU7CaPoLJYYSJCQi\nPCNQK5wwmUb/us5F77nF2VmmKfottn/tz+ylSXiH6Olo0bL7m0n4x/4Tv5CfAwPM7Vaw1R6wN3uH\ngyOZb7hIkogeLlsGl1xiXScZhGM2kG4ahMOWlTU2542PF5rh5ua+z7e3C6dx+gDRmtWr4dFHxf0z\nGsW9e/xxWLFibGwcC9zc+td/7o2jEocDBzaByQSuDXP59f0RqNz0lBpKqWqp5MrVKm5JW0llifW6\nxYVFN/FF3pds+9YPP+dAwnRhOLVO4JW3G7BEbRqzVIcmYxOSJKF1MzJh1klqiwJw9WzDN/w0GpWG\nmpa+O4XuGndm+c1j+7pw3H0NRCaWkLg8m8pCX4qyw1gcNXAQpjv3WqPSMMlnEjE+MTgpnZCkvnnZ\n40mpoZRa9X7SlpeRvyOequNBZK9PYlLiadwn5HGg8oB1DHNgszgiyoPEaismWRaVIvbtE85ofLyQ\nMricNbl3RzKB9LP1v2bz2M1KGo3QIb/4opAiODsLh12SRNR9oN6nkiSqWEybJuwdG8vGhDPjIC3t\nTB3o3vceg0HowQfSYFsBe1rp25OtDmyf7vGkUsFtt0lI0lwus8xG36FHq9Li6uSKnGxdPer+qj0E\npG6j5dAq2g2XYqgppyAjgdTFR8jp+o7Wznm4Oo2+ZM7PxQ+LbKGpzo3jeyYRM/s45UfDKDsaiiW0\nhAhdX02ELIN8+CaiI79AjvkWpUJJVedx/OaU4Z5/Hy3Fk8Fv1M0cNXrPLXVtdSgkBV5BTUQnnyR/\nRxw+YfWExldQ3aKh1FBqPUOxv3nQ3uwdDg5H2ZaRZfjwQ1Fz2MlJOLt79sDatSIC69drZgoJEQ5a\nU5OQNPQ+RlPT6CUYtreL1tFbtogqH3FxIkL87LNCs11WJip/zJ4tZBb2Tk0NbNggIvJqNcyfLyQs\nMTFiN2HDBhFd1mqFk6xUimh5b+fZgQMHVqXbGVYqlPi4+PR73locrj2Mp4sbEYuOsufj2dSX+jFl\n8RF8w5soNZipaqki2jt61M8b7B5MmJTKhq99SV50DL+IBnxCT7P361g82yeTujy1z/slCa65Qsvd\nftdxoiGRwoZCtCotiYGJOF/mb/X7OBTcndyRZZmOFi1Fh6Lwi6xFX+1JY6UXRpeSM3WjHTjoxiG9\nGCRWqRWYlyeam4SHC0fY319EKpub4V//6vtepRJuvx30ejKysoQsoLlZVJKYNm1gCcRQMRrhz3+G\nTz4RkeSgIBHt/v3vhQ565UpRtWL16iE5yTZbh7GiAn77W9i+XUTwFQoyXnsNnnlGLBJuukmUv4uP\nF4uUFSvgd78b17rOF8Im721trVhsff210PhbLICN2urAbrHGeJJlUUq/tbOVnaU7+TTvU3aU7KCl\ns4WqqjND/QxuTm50mjtpaXCjofwwSDLVhQGYTaK5h0Y5NhIuo1FCe+x25i1toFV3kBJ9CTWm48Re\nspepXXdQW9Y/vyIwEFRKJXF+cbhXubN04lL8Xf1xdx84XcOW6D0Wor2jcZfD2LUuhtD4MhLS80hI\nP0rO1mhaawNIDkm2nqHY3zxob/YOB0dE2ZbJyBAz0NnRycBA4UTX14vWT91MmQK//jW8/LJwkt3c\n4NZbYd680ZFeZGUJxyYqqicU4+cn5Bbvvisc8uFGUouKhPN06pQ45iWXiONZM1Tx4YfiL1toaM9z\ngYHiL+HWrWJBMGXKwN0CHfRHloVz/Omn4v8KhZCuxMcL+Y4DB3ZOYyO8/I/TlAW+ilPAKVQKFSaL\niY4NYYRV3s9j9/n1mbLnhc9j06F8DAcSCE/8iqmLWzm6NYH9myNIWtRFiEfIiG2qqABDs4lmnG+Y\n5AAAIABJREFUtyy2Fm+lpbOFBP8Err7hEhrKf0rg5GXUtdfgqnZlsu9kOjvUA/bTsidOnAA3XSdF\nxgPsKdtDweECLBEWpnimUlLoitexhwiOextTcC5VzRq6nEsJSKnCv+Q+Ohp8wXqydQc2iKOOsi3z\n9NNi5u0tpeimrEw4xQPVLx4r/vQnETn28en/WmmpKEE3HHsyM0VbaycnkXjY1iZkDJdfLmpAW8NZ\nbm0VzltoaP8aTW1twsF7/nlReq+oSEgvpk61+aodViUvT0h0wsJ6Fm6yLMbOwoVw221WNW+o/BDn\nsB/iNQ8Fo8nIzz74Pwq3pZK4oBTf8HpOl3uTkxFF1Py9vH7T/8NZ3eOFlpZZePRPB+iM/piQqDY0\nKg2Nrc2U7p7NFXGXce9tASNWcZWWmXnw+X1YJn1OxEQjTkonTjc1U7QzjRtmreCnNwWOWRk6a7En\n08jT7+7APeUzAvxUSEjUG9qp272K+1YtITHODb/gNg5VHaLEUIKPsw+zgmdh1Pvg69u3R5aDHjo7\nxdTdYWqnSF+EhESUVxQapZauLtu/b446yhcjkyaJmrxnO8pdXcJ56x2aGA8uVNjzfANQlqG6Wjig\n/v4919Te3lP7uTuM4eIipAzffCMapoznYqAbi0X8DOSkK5VCevHHP0J+vrgnFot4/qabYMmS8bfX\nHti0Sexy9N7dkCQhK9q5UyyKxqLWtwMH48SR2iPgXknKihPkbp7K6XJv6kt9mbX8CA3qCg7XHiYl\npKccnVaj4Hf3zqLN3YltxdswGA3MDZvLnEsWUFbgNyoO7GlVLopp/6Vl/2XIugKcA/U0HpiHq3sd\npQF/Q5KeBoYejKipAZ1OprztJIdrDiMjM8V/ChHu0TQ2KKzapLbRawtS5B4a964mYnkOKicThXuT\nUPofpd6/kYiI2wEX5obPZS69Glw5Isnn5YsvZEq7DlLg/gZm2QQyqJVOxDTeS4xuKldcYW0LxwaH\nozxIrFIrcOFCIUfonaBnNoveo6tWndOpGDNbU1Lg6NH+Xf7a2oQtIefYJqyuhn/+s6d9NUB6Ovzo\nR3D8OBnFxaSf3ahFqRTvPXhweI6yLMOhQyIRsrJSdPBbuVJotQcToXZzE+fV6/tcb0ZxMendNZsK\nCoRmvPt4nZ3w73+Lz8XEDN3mMcCmalxWVQ0sZlSpQJbJWL+e9GuuGX+7HFyUWGPsGzoMyMi4+zYT\nMrmC4uwowqeW4uHXhN6goKG9oc/7/f3B318BJKE/pu9jb9AolXfeUbqDwCAzEUsOk7MhCbNJSWB0\nNdPSKihvqaSyuXLIEo+MjAzaO+bzwe4dWKb+G833kcTPj34Fh2/kmhmLuPIK67kXm09tJiFRhcGj\nhAPrkmmsymba0jpCpzWxq/QEtyT+GJVCRU1rDWaLmQC3AFQK1Zg2eRksNjVnn0XA9CxeeP4I0ZOS\niZlZAcC291vJUe3nr49LwMUpQ3Q4yrZMYCA88gi8/jqUlAiHTJaFfvfqq8ffnpQU2LgRjh8XkeGa\nGuEcurvDk08OrINubRWR1/Z2kZQoScLZ37RJRMbPp0NWqYQTPhzWrhVaWC8vUaKupkaUsLvmGtHw\n5EJIElx/vZBXgDiGLIsSeP7+4rqio/va7uQkouLffWczjrJNER4Ohw/3L23YvUNi6xlBDhxcAF9X\nsct3utybimMhxMw+TnF2JB5+TVg8iglwDRh3m9q62lAr1bh6ttG95+cbXodCCRISnebz1IM/D6ro\nrZRty8V9/+VMW3IYSSFzeMsU9JZ8lLGdwKWjdg1Dpa2rDV8XX3zC6inYHYtsURAwoQaVQklZTgzv\nWEoo0r1NVUsVICphpKhvR6pN4qabrGa2TSPLMhtKPyNllZmijAUUK9WYu5QYDWXMuOkoG0orSY50\nOMo/aKy2wps8GV54QSS5GY1CM3t2RPcsxsxWZ2dRWeOee4Tj7uQknBtPTxH5Tk3t343uwIH+rZ6V\nSvF4xw6YM4f0gICBZR2dnSLRa6jU1QlHOSKip022t7eIyq9dC3Pn9i2tdy4SEuAXv4CPPhKacL6/\nt/PnwxtvDJy46OYmsmdsBJuKTCxZIuqBG409DVlkWdyv5ctJX77cuvY5uKiwxtiP94tHrY/nwPZQ\n0lYewcOvCQ/fZvZ8O4HYtFYS/BPO+dmxsndawDTyqgopzkrHP7KO4NhKDm+ZQpflMCofFUHu/Ztl\ndXTA7t0QOOUYG0+tp1hfjJ+rH8smLMNYPJOpU9P5w4FHmJmuoCIrkOz1SUgKGRePdlJSK9lUVMhl\nsavOtIceLF1dQtWmcmkmtyaXls4WQjxCiPONo+G0clDTNojfQ27ZSap2phGRWEzsHGdyNsQRlb6d\nCVNr+OeGvQRPCGRKigpJkig57safd+Xz+4cAkoZk82hjU3N2L7osXVQ2VxKhi8BjeTa7PxSSlcV3\nlqBycuNkw0lkWR7y79wecDjK9oBKZTslxzZuFE7u7Nk9ulxJEo7zxo1CZ9qbgoL+EUQQTrEkCWd4\n4UJR4SMkRDjfZrOQS0REDK+iRF6ecMDObmv1/RY/eXninIMhIQGeekpUEVEqhcSkuVkc5+xmIyBe\ni40dus0/BCZNEgl7//kPffrXzpxpnR0SBw5GmSa9iqDyn6Fe+jca1Sdo1AMqSFrajk/h/RganAbt\n7I0WyQFzeT6jGbWuigkzT2LobMRjZjF7Nydzz82z6GrXonXv+xmVCrbk5rPz283ELziBp7MHtS21\nPPnWJoLb4a/TZnK6/TQRugiik0+y4z/zAUhclovKSUutvhqTxYRaObRqS8XF8Op7ZZye9GcUro1I\nSMjIKKtSmdjyEx590HVQCWOLQy7ng7d2EDqxhMikWiQJOkwd7P8mngWri5i8ZC81O1dSkuOOi66V\nikMxzFqxi4y6HJbLiRelszdSVAoVzmpnjKZOyg9Ho3HtAFmiPC8U/4Q8dFrdRXvfHI7yILFl3dDZ\njJmtnZ0iQhwSIhzd3hHgwEDYtq2/o+zhcf5Wz1otGWFhpK9eLRxtk0k4oampcOONwytr19sJOxtZ\nPv/rAyFJZzTiZ+7t3LmivnJERI/8wmgUoZjFA7dztQY2N24XLYIZM0QSZGenWHSFhYEk2Z6tDuwa\na4wnb2949AEPXN0e5/jp4zS0N+Cp9STWN5a2FhXu7uf+7FjZW35SR6xyFUdMb7D2+BcoJAmlpMRv\nRj2fvPV7gk0yl1/e18HpsLRQHfESHtWLqc8KwH9BPlUFsSjrfOia8w++2XaKMI8wGltbKNs1j4AJ\nNSiUFg5vnkrk/F34u/qjUgzdvdAF11Lk+RaG7YtJXpWHi66dyoJgDmd5EnzV31Gr/4fBJB6WHY7i\nrmUyeW6vUtbUQNXhKqJnRHNPxAI+2tbFzOVtBK3oiYrOWn0AN2+JEkMNTcYmdNr+daTHC1udBxWS\ngksil/D6h6fQtuqYtfoAskViyz8VVDV78eANidY2ccxwOMoOBo/F0lP/9mwUioEd0NRUWL9evNY7\nwmswCMnGxIkienzNNXDppSJ5ztWV8/5FuRDR0d/3XJX7aoi7H0ePQqerG28UkpIjR3qO2930ZeLE\nkR//YkanEzsSDhxchIg1tWjM0f/58ScpCVb/LJPcVz2Y2vhLJsw+irPSlbxtCdSFfoNfYgrQt8nG\n8dPHsUidTF9awJHvprDt3YU4e7QxfeUhqo0mTjScYEXC5Tz24kECvduYPK8QJJn8XRPJXB/N7x6M\nH1Z0cXfZbnwmlBLgFkDOhiT8o2qpLfZj/uXZlHcVUNFcQahH6AWPs2wZKBQTsMjPUdlcyS7lLq5Z\nfg1qpZp85X/pNJtpqw4BSQZZor7UF2dPAxISTkobr3FmRbSll+HWvgXX5M9o6BJBLLe4UtyaHkJT\nsQBsZON7tHHUUR4OsiwcpIwM4SzFxooqDtashzMeyLLoSldV1b+WcmUlJCfDmjX9P/P550IbrNUK\nnXNTk4gUP/ro2CS9ybJIgNyzR0S/NRoR7a2oEA7az38+OrWZZVlox0tLxTkSEvprtB1ctNj1HDZM\nfojXbO9YZAuPbHgEhUVL4bZUtG4dmDpF0CJk9i68XXU8lf5Un89kVmTy2v7XiPCM4FTWBEoPh+MZ\nqCdxWQ6VLeUsnbgUTeF17C09QHXo6yBZkBFOZ1DVGmb4pXHddUOfY1/JfIX8+nx8XXzJ+moGzfUe\nTFuai3dIA2WGMh5Ke4gp/iNLGNtQuIFXv95GW/5CEpcdxsnZKDTW/nlcusyVe5LvGdHxL2aKisDH\nr4vC5sNkVWYhSRLJwclEuiagb1BZpZLrUHDUUR4vZBk++EBESd3chPO3eTNs2SIcv4tJn3r6tJBT\n5OQInXF6uqgY8fzzwtHsTiqsqxOPLx0gy1mS4KqrhBO5fbtYWCxcKLoFjpVYT5LgrrtEi+0NG8QW\nv5OT0MFeeunoNTCRJBE9dkSQHThwYKMYTUYMRgPhOh1TFh9h1wfzAFhwy3ZQuFPeVN7vM1GeUQCc\nOhROfakPs6/dw/E9seRtm4xzYhHxfvFERUpc7pxMU2cMJ06fAER7aE+tF62tw7M11COUrKosKguC\n6Wx3InxqCQW7Ypm27BAWLHhpz5/IPhj8WtPpLFDimbKWLmcFFoUS77R1VO5YRshpRw388xEVBaBm\nhtsMZgTN6POabgSbwLbORdaPZ+w408+8sFA4XxERPY0zQkOFVOCNN0SCl5UZld7rZWXwq1/BV1+J\nNOSKCnjlFbEoeOQREVEuKxPR1IgI+OUvRa3igZAksYBYswYef1w4zr2c5DHpFa9WC6f+5Zfhz38W\n/1555YhbedtbX3t7steebHVg+ww0ntq72mntbLXJqPhYjX+NSoOL2oU2o5GCXZPxCmrEw6+JE3tj\naDa24O/q3+8zfq5+BNbfwLE8JXFL9qF1MzI5PZsag4GuI6upPlyDq6tQ3HlqPUkOSSY5JBkvZy8k\nafiVHueEzeF0YRQnDgWStDyHCTOLiJxexI4vJxCmTiLY/Rx/Yy5A73vr5qzh9V/O54FLrifALQCd\nRsdNM6/gP08vJdTP+juC9jYP2pu9w8ERUR4qe/eKbfazqx14eAinsahodDSw1kSW4V//Eg5ueHjP\n815eIpkvNVW0z25utv36t2q1Qw7hwMEPmG3bwKisJU/1Prk1ucjITPCcwBy3m2gumziosur2hizL\ndJg6UCvVqBQqlkat4IU3S/B3lpm6JBfZoiBn0xQObQvlt3fP6vf5lhaIVixh5r0b+a5iH42GDpSS\nkjtumQR5l9LYsGdM7G6s8COm5Q7qFrxAjaUR9IBfMdNmp6I5uoaupdKI2ySLAlIaIpjP/Ij5fV4L\n8h7ZsR1cnDg0ykPl1VdFd7qBZANlZfDww0JmYM/U1orIb3eDkN40NIgqBb/4hXVsGw4mk2g4olKJ\nXYCLtISNg/HFbuewEWCP15xfUsddT28naOox4qcZkZAoKZE4sjWeZ++fyZJZF4d0qrMTPv1Uxn/6\nfjaVf0ZNSw1OSifSIxdx6P0rONmRhcvcN1GrFMjImLoUaPLu4NrZaaxY3n9zuTtHucvcRXNnMy5q\nF7Qqbb8c6dHEZBK9nFTOrRypPUJrZytB7kHE+sbS2KDolxrjwMFQcGiUx4uEBMjM7O8om81iZgm9\ncEauzdPZ2VPn+GzUahFusAdkGXbtgo8/7ql9HBoqavnaqq64u87z5s2i9XdEBCxdarv2OnBg4+zX\nf0tU+kHqdq+kxqUIZ/cOKvYkkJC+i92tx7hE/tVFUf/VyQmqpAO8+EI+KZdKRHhFYDR18tZHlSgM\n2/ngmXT0lmDy6vJQSkqm+E/Bf3UoLS0DX3v3LVEr1Xg7e/d7fixQqbo3AF1JDU3t85rDSXZgLRwa\n5UFyRoeTnCy+sVVVwqkB0U6opER0HrOBbf4Ra4b8/YW8pKOj/2uNjZA4uvUSx0zjtG8f/P3v4lrC\nw8WPwQDPPiuqdAyDMddjffUVPPecaNRiMkF2Njz9tOhiOAzsST9mT7Y6sH26x9P+iv2EBTqTuDyH\ngl2TyV6fRHz6USIjZYoai2jtGmbm2Sgz0vHf3tXOMdd/MCmhg1MZ8zG2OVGaFY+2PRq/hR9zsiWX\nCV4TuGzSZayMWUmYLgyNRhqWA2pv31V7steebAX7s3c4jNhR1uv1XHvttcTFxREfH8++fftoaGhg\n6dKlTJo0iWXLlqHX60fDVtvAxQX+939FhK+0VMgtamth9Wq4/nprWzc6dFeIqKjocZZlWVS3cHYe\nfFc7a2KxwCefCKe/uzOgJImOACASMm2N6mr47DPh0Pv7i3rSgYGiese779pPJN+BzbF+/XomT55M\nTEwMzz333IDvycjIYPr06UyZMsUmGx4MF5VChUW20NneI27taNGKcmaIRgoXA8X6YkwWE9HTqwiY\nWM2ej+ZQX+JH4rJcPNycyKrMsraJg6Y7J76ls4XChkIqmiqQZfnMxq0DB+PJiDXKt956KwsXLuSO\nO+7AZDLR2trK73//e3x9fXnsscd47rnnaGxs5Nlnn+17YjvUutHeDrm5omxaQIBwYsxm8PUduE2z\nPSPLouTd55+L6waYMAFuvVVolG2dxkZRnaN3MmI3HR2irvKLL46/Xedjwwb48MOBbS4pgXvuETsa\nDmwCe5nDzGYzsbGxbN68mZCQEJKTk/nggw+Ii+tpiKHX65k7dy4bNmwgNDSU+vp6fH19+x3LXq65\nN5/lf8b7O3ZjyFpOfPpRNC6d5GxIxD32AHNTXHgo7SFrmzgqFNQX8Nyu5wjzCKcwM5qK/FCcnDuZ\nefkB9JYyZgTNYM3MNRc+kJUxmeDV180oJn1LdscXyLKMjEywazj+RfezINmHpCRrW9mfggIwY6RS\nvYOtxVsxmowkBSYxJ2Ap5QUBzJ/vSI+xNlbRKBsMBnbs2ME777wjDqZSodPpWLduHdu2bQOEI52e\nnt7PUbY7CguFY9XaKvS7FouITj788MXnJIP4Ri9ZAgsWiIi5RiMWBPbyTe9OjbZY+ncS7Oqyzd9Z\nR8f57+/5WoE7cHAOMjMziY6OJjIyEoAbbriBtWvX9nGU33//fa655hpCv8+xGMhJtldiFEup36/F\nd9ZGtL4KlAolfnO+5VTGPOJmzL/wAeyESM9INEotebvD6Wj0YN5NO6k4Fkz2+kS8ZpeQMivF2iYO\nCpUKpJhvefu9FtJWTMY3uAWzSWLvhgiUqi+4+aZrAE9rm9kPSd3Bw8/vwmXaBqImWFApVGw6tpvX\nX1Ny36WLkKSLvCHZRcyI9pyKiorw8/Pj9ttvZ8aMGaxZs4bW1lZqamoICAgAICAggJqamlEx1mq0\ntpLx6KPC+YqMFBG/yEjhcL344sCtm63IqGqGnJxEApyf35g5yWOicXJ1Fb1bq6v7Pt8tIVm8eFiH\nHbKt3cl5L78MTzwBr70mFl0DERMjxtLZK97udtzDaHs0rvoxs1kkTQ7z+/BD0LpZg4qKCsJ67QKF\nhoZSUVHR5z0nTpygoaGBRYsWMWvWLP7973+Pt5mjTvd46mxx5+VH5nPTgjSMZiNNxiaWTpnOm/9v\nAVpzgHWN7MVIx7+TUkNMw/2UV0DIvO+QVEZ8J+dj8T9ER9aPCHcevWpMY/ldbTY2k93xOWnLKyjY\nlkhDhRdHt07B09WFwFm72Ve5e8jHHI+5pULag+v0r2jOWUpXfThKkwd1uy7FN7yGQo83Bx3JtLd5\n0N7sHQ4jiiibTCYOHjzI3/72N5KTk/mf//mfASUW58oovu22285EOTw9PUlKSjqjjeu++TbxOCeH\n7MpK8PQk/ftkvYziYvG6JEF+PhmnT9uOvY7H4nFYGOmnTkFJCRktLWCxkO7qCvHxZJjNkJEx5ON3\nM2h7Wlrgo4/IMBhAqyW9sRH27iVj+nQ4e7ybzaRPmgQnT5LR1QVKJekhIVBeToaXF5w4Qfr3Eb8x\ns3c4j81mMp5/HvbtI93LCzQaMoKCIC2N9KVLB3287Oxs2xo/A9jXnW9R/P333x4YTEWHrq4uDh48\nyJYtW2hrayMtLY3Zs2cTM0CLeXuYt+fMScdkgg2bN1DWVEZiaiLzPefjXeNNezusTBLvry3OICPD\n+vaOxmOTCYwVNdyZruK0bxAnGk7QXNDMJVEzSVkwnya9ipxDo3O+bsbiesoNolOgb0gzFb7r2P7v\nifhFupN23R6OHtDzZdWXrIpZZTP2dj/eVrINSV+Gzn8tuZuuA0Drth6dtoqTDQoaOxrJ3Zd7wePZ\n+jxoT/a+9NJLZGdnn5mvhsuINMrV1dWkpaVRVFQEwM6dO3nmmWc4deoUW7duJTAwkKqqKhYtWsSx\nY8f6ntietG5ffCGqEQxU+q2kBO64A+bbwBaewSCi3N7e/eUGP1QMBlExIitLRMfnzxc6X41m7M9d\nUyMSP4OD+3YENBpFVPvFF0VHx960tsJ//wu7d4vHCoWIfl99tZBm5OeL33FkpBiPtiCFefdd2LRJ\nXKezs7i+igqYORMeeMA2bBwD7GUO27t3L0899RTr168H4JlnnkGhUPD444+fec9zzz1He3s7Tz31\nFAB33XUXK1as4Nprr+1zLHu55h07YFNWIVURf8IkdSAhISMTYriWkPYV/Oxu5cU6LO2eMkMZv976\na0LdIjm6dQrN9R7IssSUxUfocDvGzKCZNqm1fmLLE5jMJtRmT3Z/OBeAaUtz8A5ppMxQxh8u+QMB\nbrazg/FDxCoa5cDAQMLCwjh+/DiTJk1i8+bNJCQkkJCQwDvvvMPjjz/OO++8w5X23vooMPD828ne\nVm7nU1kJ778vtvgBPD1FBY7U1IvWSRk0Oh1cdpn4GW9yRfSgX9tsjUaMp7w88Tvqjasr3Hkn/OhH\n0NQkfpcuLrB1K7z3Xt8W6SkpcNddjLhV1UiorhZJn+7uPVp2Pz+IioKDB+HkSfvvVGnnzJo1ixMn\nTlBcXExwcDAffvghH3zwQZ/3XHHFFdx3332YzWaMRiP79u3j4YcftpLFIyco/hQ7vlqPS2U6M5YV\noFRZKD0SwobsBh746ddI0mprm+jgHIR6hBLkGsa+DZHoXM2kXb8bQ62OI1vj0c0oY17qvHGxo6wM\n/PzNFBryya3JRalQMj1wOiHaGJqbJQLPkhzPCprF2sObqd+dTmRSMV5BjRzZmkDE7Cx0QTp8XS4e\n3f8PjRE3HPnrX//KzTffTGdnJxMnTuTtt9/GbDZz/fXX889//pPIyEg++uij0bDVeiQmkmEwkK7X\nC8elm7o64RTExlrPttOn4Q9/EI5XWBhIEhn5+aS/8opwqubOPfdnZRmKi+H4cRG5TEgQUcFxJqOX\nBMLWGZKtI0nOc3PraQ1eUCBaioeE9DjFsizqRPv4CKd6NOwdDgcPilrPva9ToxELAKVSRMAH6Sjb\n0ziwJ1QqFX/7299Yvnw5ZrOZO++8k7i4ON544w0A7r77biZPnsyKFSuYNm0aCoWCNWvWEB8fb2XL\nh8+Wok24um/ExXwzR7ZMxTNQT3VhIPMvz2RnTSXXmZahVWmtbWYf7Gn8j6WtFotEQPEDSKovcJ22\nHUOnG0b3Ktynl+J07BacWyfDAI1xR9vevfs7+fjgRjRJn+GsESUG1x3ZDNm3cOeyOQQG9nWfkv3S\neXmbGV1YAeGJehSSgsi5+8jaHM0v16xAqVCOma0jobAQLJKRKuVetpdsp8PUwYygGaT4p1N+wofZ\ns8//Z8yexu1wGbGjnJiYyP79+/s9v3nz5pEe2nZwdhYR2j17hGPZjb8/PPSQSNO1FhkZ0NbWt6SY\ns7Nw4D/+GGbPFg7L2XR1wT/+IboMSlJPAtny5cLxckg3Rk50tKi6cXbP1+57PVjd1MaNIqrcO3Is\nSUJ6sWULXHEFaK3wR1+WRd3n9va+C6yODvFdiY217nfDwRlWrlzJypUr+zx3991393n86KOP8uij\nj46nWWPGKf0p3LQuxM44xrZ3F9JY5UXKVftw0ckYDCYMHQa0brblKDsQKBSwYJYvN994DXsrA8mv\ny0en1TEvdR7OLXG4u4/PLqkcs47avVV4Zl1G5CVHsJiUZG+dhtFjN1KkBUjv8/6KQh/uv2wxxZ7/\n4mhtGZIk4RPgw69/PpnWk9OxzJExGPVIkoROo/teBmD9Td9Os5FHXtqNc9I6wiNkVAoV645s5q/b\nu/jZ0iXMxhEJH3Ed5WGf2E60bn3o1ojq9SKSFx9vfUfgySeFJrQ7+tib0lIRbT57jwhg3TrRkCMq\nquebajaLhcA990Ba2tDs6OwUemA3N+GoOxBO8rPPwokTwqlVKsUCpbxc6KTvvXdws+Rjj4n3DXRf\ny8rE7zhgmNq39nahswcxFoai3T55En71KyEhcXfvuyBrbBSNUt588+Jo6z4AdjmHjRB7ueYXdr9A\nsb6Y9qIkKvJD0bh2oFDIxC3Kpqa9nL+s/AtuTgPMmeOAyQQHDkDI5AoySr6jsLEQX2dfFkUtQq5J\nIDRUwsvLKqY5+B6TxcR939yHl8aHk7un0WZwwWxS4hdRj29CDhqVE88seabPZ3o7vc3GZrosXXhq\nPfnqSwV4FpFl/helhlKQIFIXyXTpNlStEaxaZYUL7MXWoq28vP5rDIeWEJeei86rk9xNSUjeJ5mX\nbuTxeY9Z18BRxCoa5R8Esgx798LXXwsHx9cXVq0SMoWBIrXjjUYjIspn011SzGIREcnNm0Xprrg4\nWLFCNLcIDu7rqCmV4vq+/XbwjnJXl0h03LBB/F+hEAlz1147urWKTSbRNlyhEA6YPUS8FQp48EHR\nRGTXrp7nli+Ha64ZfCghMFA4pWc7yiaTOMbZCYGDQZaF7vnDD8XvDUTE+uabB5+Yevq0GH/x8XDk\niLBPoxGLprY24XiHhAzdNgcORsiSCUt44u11WCqCmL7iEBqXTvJ3TGbnN2HceGOo1ZxkEF+9zZll\nbF27lqjUXHTO7tS11rFhZy0+Ndfwwi8SgfPPDWaLmebOZpxVzmhU45CY/APDaDJiNBvkYYQ6AAAg\nAElEQVTRqNVEpxSeSc6LSCwGhQs1rf1L3vaezt01PXNywKRi7nsuk9gUZyZOFju/x45o+PrgXl5/\nUgIGaDA1TmRlwT+259PsnU11eAF5769Co9QyaXIlHsYg8uu+Rd+hx1Nre3WrxxM78DaszBdfwKuv\nknHsWE8d27ffFj+2EFlZsEA4LL1sySguhvp6sbX/3nviR5ZF0mF+Pvz2t6IqwUDb9W5uolrDYHn3\nXbH97u0tNNIBAcIB+8tf+iaenYezS/j0QZZh504hcfnNb0QE85e/FNcxnpjNkJtLxi9+AW+8Afv3\nD64BiKurqIryl7/A734n/r3ppqFFbpct61+fWJbFwm3BgvMuSM55b7OyhO7Z21vIdsLDhf7+H//o\nSUK8EN16/ZgYsbBycxMOslYLkybBlVcOaV/xvOPAgYMhYCpPRD4cgE/aV9SaT1DVWoHz1PUEermj\nyvuxVaduWdFJReTzOJl8aT68GDe1B+bKaVRtc8M45U1a1SUDfs5ohH/9S+bLnO08svERHt7wMPd9\ncx9vHfwX//2k/Zzl2ccCe/uuDtVeZ7UzXlov9E2d5G5KJCyhDP+oGo5smcrpliaiPKMGfaztpz9m\nyiWHqM2dQV1xADUnAzmdN534S/azo+7zEds6EgLCm9i5r5Wi3BC8fDvQKLV0djiRkwNSQB4KhUSX\nueu8x7C3sTAcHBHl89HQICQKERHCKZEk4Qy4uIj6Q0uWDF5nOlakpQk9aH6+iAar1SLJUKuF6dP7\nyysCAkTkb8sW4eC4uvY9XlPT4BP6qqvFfYiK6onwqlTC6Tp2TCShjTQh6MAB4ZgGBQm5CwiJxwsv\nwK9/PawmHEOmsxNeeUUkrTU2ihJue/aIlt6PPNL/Hg5E7+S8oZKQICLQX3whHkuS2CmIixOR+6Ei\ny+JYPj59HXatVji/69bBtGkXPk50tBhP9fXi9xMUJJ5vbRW/o7MrejhwME5MnChx302TmDZ/JVmV\nWXSYOojziyPu8gSqK9VW1YUWNhRitLQwa/lxDm+eyrZ3F+LkYiQm5TPcdGb2V+wn0jOy3+c0GqjV\n7uSVv5QwZ7UH4Z6edJnM/OfjFtzlb7n8sssAK1bAuYhQSAqWhV/Jb146SXR0HRNmlYAscXhbNDmb\n47jrsfMkyffCZDGRV5dHeEg4PktzOLAuGYCUqzLReriQU5ODLMuDqnU+FmQ3bidswXcUbVlC6dGV\nuE/IRy6ZhNTlTkHTAZZoYvB2tnJVLxvA4Sifj+PHhVOhUpHe2yFWKIRM4cgR6zvKGo1oo71rl4jk\ndnSQfvPNcMkloh6vh0f/qJ6Hh0hEPHkSpkzpcXJNJrE4uOWWwZ27uFgc+2wZhCQJh/3YsUE5yufM\nmJVl+PRTkZjYO2qq04nI5TffwM9/Pjhbu7FYRGhGoxm8fCMjAw4dgqgo0qN6RRKKiuDLL+GGG4Zm\nw1CRJJGwN3u2iPYajWKRExNzwWsY8N6aTGLhN9Aiw8tLjIvBZJkoFKJO8p/+JMaCSiUi705OcN99\nfSvEDIKLPXPawdjT1SWGt9atnZCZnlQ0VZAckkyIewgtLRIa9fisrc+H0WQECZQqC34R9eirvdC6\nGomdE0xtWzUNTe0ANLY3UqwvRqVQEeMTg7HLRL76PeKnT6dgcxpJK3IoOhSJu6zBY9ZX5J0OIzkk\n+YLnl2WR2uAf3EF2VTbFhmK8tF7MCp6FqdkHT88Lb3jZ23d1OPaePjSPFSkSpT5vU9YEMjLe0yuY\nVnk/VTlTYBCpFwpJtEw3y2ZaGnoCJS0NbqjdDKgV6n6fGYytlZXQYTRj0OayrWQbLZ0tTAuYxuyg\n+ZQe92LmzMFt5u2v3E+cfwylSmjTuyOVRxKQthmzsoWSPfOZkjrzgtU67G0sDAeHozwSbEF6AWJW\nW7y4f1tms/ncjlRICEyeLJxZENeiUIjI5cyZgzvv+RIZLZaR1/dtaREykPABNFw+PmKhMljMZqHT\n/uYbIWNwcxNa8yVLLpyQuXGjiJyePfMEBcF334mo7ngkdQYEwPed7kaEUil2FTo7+/9F7OgYeHF1\nLoKDRTJhbq6Q83h7i9bhHh4jt9OBgyGSmwufbi6hNvoFzKoWkIWD46dfSbDhah68X2319IYwXRgy\nMhXH/Sk9HM7Myw9wcv9Eju2KRRtfQvGOOfzfyU0Uu/fUulahQVPwY6o7J5I6rxqVpGbvJ7Nxdm9n\n1hX7OW3UcKj60KAcZaMR3vmvgaPqd9BGHcRJ6YTJYuKt7RvwPfkAv1gTOeL4j8kkpgN3/wYyKzKp\nbqkmxD2ElJAUGqt1hIePf5pJl7mLLksXzirnQUVwr7pSgbPzfAzGqZxqPIVCUhDjHYOzyhWjcXDn\nVEgK5oXP44uMItqOTyDlqkwsZoncTYm4NlVx/eL0YUWT29rNPPaXTOSEDwkJM6FWqPns8Je8/Hc9\nP5q+ihkzfAc1haskFU3F0UyLdueosZ4Os1HUKogtY2q6B62FdyMvtn5lDmvj0Cifj+hoMULM5jMt\nqwHhVJrNYkvcBjmjGZo5U2yBn01Hh4jQPvSQcHLuuAN++lN4/vmh6UonTxZO19mzhtks7tH06UOz\n92zUajGbWiz9X+vqGpzkAYQt77wD//mPkBeEhwtH8f33hU73XAue7tJu37efBvqOAycnYUfX+TVc\n1mTAe6tQiAVCZWXfa5dlIacZqjOu0YgqHldeKTTTw3SSfwhaNwdji390OVntn1C6PZ2uAgURnhGo\nq9PI2G5Gmfih1Z1kAF8XXyLbr+LQHk/ilxzA3aeFhEtyOJZzkOYji4hfcIwvt1Yjl84mXBdOqFsE\n1fvms7dsLy7RB5AtEi2NYu4zm5R0dagxW8w4KQcXmHDSWGiKe5nyY4Eoy+cT7B6MZ2cCtXuXUB3y\nd7S+1Rc8xoW+q3o9vPxWJT996yU+PPIhe8v38v7h97nz73/ltXdraW4elKkjJi8P1n3byv/+4wnu\n+foe7v36Xp787km+yzvE++/L502jcXERfwo9tZ7MCJpBUmASrk6uKBRDK+w0wXgVjXkz8Zn9FbjU\nI7nV4pX6FY1HU4novLTf+wczDxqcs7HEfUzLwVWomibipvLCkLUKlbaDypDXkKTBBfHmhc9D9j5B\nZ0MIK69o4Ud3VRDWvpoQ/Y+YlxTEfWt0F3QHfgjztiOifD58fWHlSrG93p241dYmqi/MmSO0ubZM\nSoqoRlFWJqKfKpWIptbWiu5vGo2ICJ5Lk1xXJyQd5eXiPWlpPTpUEFHZW26Bt94Ss4pO16NPveyy\nkTcv0WqFzjUzs2+JMVkW13DjjYM7TmUlbN8uZDLdfymdncXjnTtFFZDexz98GNauFZXYXV3FQqC2\ntu+1g9Bz+/tbp4bxSFm1qkdH7uYm7mlrK0ydOjpRawcOrMD2km2ETT9GR4E/J/dPRK0NpLIgmIWr\nD5JtKKTJuBoPjXV3O9rbwbv+Uu6+cx2ZDcU0GSxYsDBnoRtxTqtZf+RPzFstcWzzbCRUNNV5oFbC\ntMUFFJyuxpx/KRg1zP/xdioLgslen4TX7BJSZqcM6vzF+mLqLaeYv1pF9vokmk+701jlScK8Atp1\nNewr38cVk68Y0TVq3JupnfAi9TsXEuAagF9kHdWFgZw6EoRH+gtoXP8PGPt5MyCknYf/vpkGQyNL\nfxyASqGktr6Lx97LY81VMkrljDG3QSvpeOvXC8ltNrOnfA8KScHNaUuIX7wQQ90wKhYB24q3ERrR\niVKXz+HN07BYJPwj65g6t5JiQwm1rbWDapcdpZ6N4f+zd97xUZXZ/3/faUlm0ntvJEBoCTV0glQR\nWHvZ1VW3qGtZO5Zd3bWsbVfFVdZ11fXroou7P8uqqHQC0gIEkgAhhEB6JT2TNpmZ+/vjIUBIIaRN\nJrnv1ysvmHbveW6ePHPueT7nnAMtOI1OxOVsZDpsbiIZW+O5bsx1qFTDPJR8FsVRvhTXXw/+/iSs\nXy90mK6uooTWggWDdj/inGbIyQmeeAK++ko4hBaL2L6/775LJ1qlpcHbb4vPGAxCo7t+Pdx9d9vP\nzpsnHMiNG8X1CQkRTnhsbLevT5cap+uvF3WIc3KEftZiEY74qFHQXW1UZqb49+JwUuvjjIzzjvLe\nvfDuu0JfGxYmbpAKC8X1WLjwvFbdZBI3Er/5zaCdB9DFtXVyEvWZ09JEwiSI3+u4cTarDT4ctG4K\n/Ut2dTauji4ETT1FceYcsg+pmbw8GWd3E1U1EpWNlTZ3lJ2c4L571ahU1/CzliVUNFRg0BnwdPKk\nzFhOytYC3NxCmbAojaQvxVo797YdNFu8OLn3GsqbTIy5YgsWyQ23qHQKawsxH76VgOWju3X+2uZa\nJCQcDM1ETjnFse3jcPevxju0grJ6B8rqyy55jEv9raaVpqF2O8PkpRkc2TKBklN+1FW4EH9VKmVy\nGcfKjjE5sHsSP7MZ1GqZYmMxtc21+Oh98NJ7YTZfeqk6WrUfrxnrUe/7CfkpFQSMLOZ04gzGTD5J\nmvpDTJZx3Y7E95Rp0wDcGME1XBNzTdsXO1AVdmcdNLYY0al1GHxrsFhUIEv4RxejUgu5R7Ole9qQ\nhlon/nTXHEr1JrblbKPOVEf8iFgemzmHgvSQbqWqDId1W3GUL4VKJbaT58zh3F/mIHaM2uHmBnfc\nIUqSmUzC6b2U/Q0N8Le/CWexVd7g5SVCIe+/LyQXbm7n3z9ypPjpDzw9RVm4PXtESTatVnQOnDKl\n+yXWLrXf2loP22QSpfT8/c8nDzo4CKe/uRlOnz6foKbRiBumy23MMpjQaoU852JNutUqouo7doib\nkjFjxA2Rt9KhSWFw4+fsR35NPsac0WgcWvAIrOLEnpGMX3wYq2zFRdezCF5f07ok6bV69G7nE5Wd\nHfSoJBUtLVZOHRyBs2cdLc1aCjOCcAo9RqSfH6t+NpUtuY2crDiJu5M7T/90Ppri6TQ2qPDoRv6s\nj94HWZapKXMmc+9IoqdnUnAshPyjIVhDcglz6322Y1VTFSpJhYuXEd+IMgrSg4mYdBq9WwNylYzR\nZOzWcXJz4T9f1VEf8y65jemoJTVWrMQ4JsDRW7jvHl2XCrwDRQfwcnUifEkq+z6fTt6RMKKnZxI0\nuoK8mkYKawuJ8BjkO8MdMN53PF+nf0/2wTn4RZThN6KE9B1jiJ5zGK2bFj9D9xpQiVx7J2A5y0ct\nb/Pa2JA+N9tuGQSKLfsgcccO4VjYgZPcoWZIpxNb7N2xPz1d6JgvXoGcnMTNQkpKn9jZyiU1Ts7O\nopbw734noqCzZl1eHeLRZyMtFwvSLBZxPWJixOP8fHEzcHFdYkmCESNg9mwSExLg8cdh9Woh2Rjk\n8+Gy9WNWq6iN/frrQpZRVSUSIJ95RtwodBeTSUg5LiPhdTho3RT6l4SwBApO+JOdEoRn4JeMnX8U\nd/9qfvwmnDHuk/HSe9naxE5JTExEr9UTHzCT3RsDkWWYdNUhJl55mMKMALKOunPvTVGM8Y/mt/G/\n5e1lb/PC/BeYGzaXmdM13Va6BboEEizFs/v7UEbOyCBodBFxS1M4dcyD6swxTAu+tITjUn+rQS5B\nWGUrJVn+lOX4MGZeOoXHgzmT44MkSfgafLtlq19gM8mmf7Ptf0EE6KIIcQvBwzya/7fOkQr//6DX\nn19fWpcaq2yloqGCuuY6NCoNFquVU8m5tL6zud5B9ONCRiUNPheoO+vgjMC55O+eTZOqnFGzjuMZ\nVEXUrFT2bQpluvONA9qEZjis20pEWaE9HXX6a0WtZsAyMfoKPz+hyf32WxEVdXERYygvh6uu6rjF\nd0eo1SIRsNWxHoocPy4qeVyo53Z1FQ7z++/Dn/7UdYS+slJIffbuFTciQUGikko3EzsVFHpDU1E0\nQZU3Y5y5hqrcfIrqZNTROYQyH+2xX2CdO7ibesoyaE/cgpfTd+hj11PW6IjFasEjPhd12p3IRVM6\nLUtWWwtZWTIOwelsy95GaX0p4e7hLIhYSElGOJMni3hJc7OEY8YdzFn8Lyr0h2iolpCRGb2wCp/M\nxzmT7457dO/GMc53HHJJLGkHvJm9MhW9WwOOLvXs+T6CuDmTGOnVvR3ItNJUHKP3EqmZT9rmOKKm\nZXF85ximzD1JqeEAhXXzCXYNRpZh7VoZ95jD7Kz6N5WNlciyjIvOlcOJwVQluTD7p6fwDT9DysZY\nGs2NBE2oIdi1GzXeBiF5J7y4ceIyioL+Rl5tLipJhdZDy30/n0LTiXmDfp7bG5Lck8bXfXHiHvbc\nVhgAMjPh5Zc7LjiakyPqNnenIUVPsVpFIl1ZmXBqY2J6X2qutRX599+L5L6AAOE8T59+fkUxmUQl\nEGfn9mnN2dlCjzx9eu/sGOz84x9Cj+7XwdZdXh788Y8dl+sDcfPx/PPCWQ4MFNe1tlZ0jrz33iF3\n7YbjGjbYx1xfL/6MTdpSDhcfxmgyEuUVxVifcZQWa9rk7A5WsrMhIKiF9IojpJWm4aR1YnLAZLxV\nI2hpkfDx6fhzNTXwyKtpFLl+RcT4UgxaAzVNtZxOimG6x0qeeSDy3Eac0QgGg0xuTS6lxlIMOgOj\nvEZhatLi5NR7J6u0FN79sI66mHeolDKRkLBixdsyHpcT9/Db3xjw8Lj0cdYdWcf2nO0EOAdydNs4\nKvK9iY4/SVBMIbk1udwz+R7ig4WO+7Odybz2QSZTl2QREGTBYrWyb5svh34YQ+zKHUyZ2YhOraO0\nqo4jmydx5xWzuOuGqMG+Kdghstxa6l6mtL6UZnMzfs5+OGocsVoVJ7kzerp+KRFlhfZERQmpQXa2\nSHKTpPOlw4KCet9tryuqqkSb59zc800vXFzgwQeFTT1FkoSeuCtNsU4ntNzvvScSB93dxbduUZE4\n93CIitbVCYlRZ3RVQHTPHpHgeGERVjc3oef+7DOhK7dRoqDC8MBgaFWM+bE0emmb1+zBSYbWYkpa\nJgVMYlJA96syGKVCGse+i2XPckyuxfjEFFBwcCLaJi0lka9jUf0ZELIy0SRUItw9vE0XQG03K25e\nCj8/WPWQC45OT5BdlU11UzWeTp6Eu4fT2Ci1U7d1hquDK2armfoqA3Xlrji5NFKUGYBPeBnIQuMN\nYLFa2NewlknzAzj9YzyGBUepyPfCXBjClGv3MHWGhYYWMzVNNYwNiuG3v59NftoIrNbzKSr2hCS1\nqv4k/J3P74iazSKVJyimgMTcbWRVZuGl9+KK8CuwlowjNFTq1g2KQluU+45uYk86nF7bqlLBAw8I\nhzgvT2h38/KEA/TII33u7JyzV5ZFq+iiIhHNDg8X/6rVQjM7EJKPWbNEW2pPT+GsV1fDypXiOQcH\nu5oH0IO5MG5cx9fZbBbzoish5P79dLgKGwwislzSdX1We7u2CoMbe5tPvbX3cPFhHJ2bmXRlGgXp\nwez4OIGGagOTl2RgUTVwovxE3xhK92zV60UFhhGeI5gcOJkIjwgkqftOMsCUwCk0VLtweONYoqZl\nMe3aJLxDKtj//Sh0Vg9GeY8C4EzDGWqbawmOaGT07AwOfTeJ3LQwZty4l/FTq8lNyeWNJW/w3or3\neGj6Q4wPHsGyZYPTSe7NPJBl2HIgjztf+Zqd2btoaGkgszyTJ9f+l9c/TcVi6X401WK1YJU76GHQ\nh/baC0p4R6Fj3NyEc1hcLLbS3d2Fk9Sf+1Q5OUJycbHkw81NOK0HD8L8+f13/lZiY8WPqEs06BP2\n+pQZM4Q8pbRU1IiWJBFVLygQbbS7SjHXaDpuDgNiBR+M30oKCkOEBnMDakmNg6EZvVsDTUZHPAIr\n0egs0EC3S4YNJlSNfrhl3EfTmH9h8iqhqkmPKjIPh4ax+GU9jsWkAyfQqDTIsozVKlNbdrYikyTT\nZHTC6nIGrbqLXbIhhKwyURj2Z3T5s6hLW0DQ7AzqcqIxnQrFNON9jJrH8Sa848/KogKs38gcdlZ8\nztGyo2hVWuaEzSGi6Wqc1K5MmTKw4xksKBplhcHDwYOiLF1HGtiSEtHk5ec/H3i7hhvFxaKJTFaW\niCKr1ULPvWJF187ujh3w4YcQGdn2+epq0ZTlpZeGlHhuOK5hw3HM9kJqSSpv7l1N8/FFNFQbGDkj\nkyNbxxEUU4AlaDcvL3iZAJeASx+oB7TGFMzWFnKqc7DIFkLdQtFr9bS0dK3m6oqGBnGP7uCby668\nXZTVlxHhEcHM4FmUZvswZow4ryzLPJf4PCn7PGgpiyR2cSp1FS5k/Dga1ynf8dtF1zIvfF7fDnoQ\ncqzsGK/vfZ0gQzhHtoynusQDnb6ZuCUpVHKSJVFLuGHsDZ1+/uvEbF78OIlxCw8TGuiIRbZwNE1N\ndfoUPnxmHiNCbFuDvLcoGmUF+8fVtfNyYiZTxwlmCn1PQAA8/bTQGzc2ishyd3q2xsfDjz+KBjF+\nfkLzXV4ufnd33TWknGQFhcHGGJ+xmI4vpqC4idlXZeLgCGMXHeDHbyKZr/9JvznJAFu3wvGSLLK8\n36LBXI+EhFqlZqzpTjzqp/Pzn/dsV06vby3RH0aYe9udRt/xFz6SGFl3N1vztxKZ8D0WjQtanwoM\n4/NpOLyS4EVDK5G4M0wW0UFYrbHiHVpOdYkHjoZmnFya0DRoqG+p7/SzsiyTLH/EyKkGCndfgfei\nNOoqnGnIjCRg1ncca5AZwcqBGsqgQvnm6ib2pMOxJ1vhAnujokSptjNn2r6hoUGEDaZOHXDbLsZu\nr+3lIknCQQ4L656TDCJq/OijcMMNIsRUXi5aYj/7bLcSQO3t2ioMbuxtPvXW3tJiDXO8r+amW8yU\nNudRUFtArZTPPb90IqRxBcbu9fjoFhfbGjwhi/93YCdFyRMJcQ0lxC0EU14ca787hVfcnr47cRcE\nufnz8R8Wsmj0TMxWMwatgQeWLeXPD8xm7669A2JDX9CbeRDiFoKMTOEJP/KPhjJl5UFUagsZu0bT\naGpmjHfn63BVUxX5tflExTQwYvJpDnw9lYxdMcQuTiU4wIG9+R1fQ3v7O+sJSkRZYfDQmkT4l78I\nvbJGI2rxajSivJinp60tVLgUTk6wfLn4UVBQGDCCg+GeXzshSb+mtvkm6prr8HDyQK/VI8/o31SL\nrXnfM3bBSUr2LOTkPkf0bvWUHA9h+vJdbCs+zJXjZ/Rrcw9JEs1DwY9Iv1u5dcKtbV4vL+23Uw8q\nvPXehDVcw/p9RuasOICzp5mxC1LZ9V0o3mkLGb88tlvHabOxKw+jHJ1OUDTKCoOP5mZISxPVNjw8\nYNKkti2zFRQGAcNxDRuOY1a4NPd9dx/uju5IFkd2/XsOAPHX7cPJpYm8mjxWL12Nq4N961vtgcZG\n+PCfFvRx69lX+R1WqxUrVsZ7T8Lx+J0sucLQLoWkFVmW+WPiH8lMd6Li2ERiF6dirHDhVHIkntO+\n49YZi9u1ubY3FI2ywtDBwUHILAaB1EJBQUFBoWtcHVxpMjdRezocrUMLktpK/tFQIqalo5JUOKgH\nrqXycMbJCe67V40k/YRbWhZT0ViBs84Zd0d35Jld7ypIksRk1Z38cDCJsYu24uTmiM6lhuK6Ykr3\nLiZmwdBPhuwMRaPcTexJh2NPtoJ92WtPtoJ92WtPtioMfuxtPtmTvRfbumjEItJTnck7GszkFclM\nu3o/xkoD+7f7MCtkNg4a2zrK9nxtL5dWZ9hJ60SwazDuju5tnu8MWQZVXThrno5nQmQA+bX5nGk4\nww1XjOKFX86lusylX+y1B5SIsoKCLbBahbxk2zZRp3rUKFiwoOuGHgoKCgqDEKfSuTgWqXGc8Rk1\ngKpFhevUHKwHluOcuwSGQVNTe0eSWlNLwpka/TBW2YqEhDSc+gh0gqJRHmiKiiAzUySujRqllDwb\njsgyrF0LmzcL7bWjI9TUiOcffhjGjrW1hQrdYDiuYcNxzAqXJj8f9AYLhS3H2FewjxZLC5MCJjHG\ncyKlhY5nS7wpKNiWnq5fiqM8UFgs8MknsH27cIham7UvWQI33qjUmB1OZGbCn/4kSq9d+HuvqxPz\n5C9/6fM24Qp9z7BbwxieY1ZQUBga9HT9UryzbtJrHc727bBli+g6FxEB4eGins9338Hevq3xaBea\noeZm2L8f1q4l8YUXREjCDuiTa5uUJBIWL745cnERXey2bIHkZHFNeumU2MVcOIs92aow+LG3+WRP\n9tqTrWBf9tqTrWB/9vYEJWw1EMiycIgDAto6R2o1+PiI12bNsp19A01lJbz2mmhL7eAgHMJTp+Ca\na2Dlyv4t+DkYqK/vuKdrdbVo411dLWpGW62iYcdddwknWkFBQUHBprRuCMuyTFVTFWpJjauD69lo\n5dD/+hqOKNKLgaC5Ge65R2y1X4wsC0fxww/t4y+ssVE4cwcPCmdv+nSIje3Y8euMN96AjIy2iWtm\nM+Tlwe9+J7TbQ5ldu+CDD8SuQivNzUKz3NAgbhYcHcXcKCgQXe0eecQ+5scwYlitYWcZjmNWULiQ\nzz8Hx6AT7Gn4mGJjMcgQ7RXNGNMduBDIggW2tlChM5Q6yoMZnU4kbTU0iOb1F1JXJxL67MEJqqkR\nkeDCQhHhtFrhwAER9fztb8U4L0V5ORw5IiQoF6LRiGuTmDj0HeXJk+Gbb0Rip7+/2GXIzYWqKoiL\nE04yiDkRHCyuV1ERBAXZ1m4FhWFEZiZ4+jRzou4gSYVJAMQHxTPKZQqVZxyUBLVhikfUCVa9eZjx\ncw2ERYrvsUMHNKxP38UHz84BAmxroEKfo2iUu0mvdDiSBFdeCcXFwrlsxWKBM2dg2bJe23ch/aYZ\n+uorIZcIDwcvLyEbCQ8XZc527OjeMYxG4RhecGOQmJMj/qPXQ1lZX1vdp/TJtXVygieegJgYETEu\nKBA3H9HR7SteSJKQ6PTwutiTfsyebFUY/PR2PuUVNfLzP2xjza5/kV2VTXZVNmt2/Yuf/2EbuYWN\nfWPkBdjT/LcnW6Hv7JVlmR+r1xG7MJ3CA1OpLPSiKCMY4+kJRF+xh73l3/f6HO+N64cAACAASURB\nVMP12g5m+sRRtlgsTJw4kRUrVgBQWVnJokWLGDlyJIsXL6a6urovTmPfLFggmtHn5UFOjvjJz4el\nS7vWJ1sscOwYfPut2Jq3lSNZUwNffy0c/bq6889LEvj6Ctu6g5eX+Ndsbv9abS1ERfXeVnvAy0uU\ngnv9dXjuObj/fiFF6aj6idUKzs4Db6PCkGHDhg2MHj2a6OhoXn311U7fd+DAATQaDV9++eUAWjc4\nqfH9Hqt/MlX7foIzATgTQNW+n2D1P0StX+8dInvj1CnILzKxL38fnx35jD/t/BObsjZRVl1HSoqt\nrRsYGloayK3JJSRYYvyCoxzZMoGTSdGMmnUcf08XdubtZPOpzWw6tYmc6hwsFpnycltbrdBb+kSj\n/MYbb5CcnExdXR3ffPMNq1atwtvbm1WrVvHqq69SVVXFK6+80vbEw1Hr1qo5PXFCOJgxMV03mDAa\nYfVqyMoSUcXWaPSNNwoHe6DkGgcPwrvvws6dwmGTZSEJmDhR2NXSIhL03n23e8f7179g69a25dGM\nRiE9eOGFy2+6UVcnEuDc3e036a2kBJ56SkgxHC7oYlVRISLtL798+SUEi4th3z5xjIgI0RLc1bVv\n7R7G2MsaZrFYGDVqFFu2bCEoKIipU6eybt06YmJi2r1v0aJF6PV67rzzTq677rp2x7KXMfcWWZa5\n7/v7cHNwo/R4NLmpIr8kdEIu/mNOUt1Uzd+u+tuwasZwKMXEM+/vRj/lCwL8VaglNWdqjJTuWcxd\nCxZzw0o3W5vY7zSZm7j3u3sJdg2mOCOEk0nRALj6VpFXm0tzzEfEh4nuKlYLOGTewoIRC7j5RkXl\nOhiwmUa5oKCA77//nt/97ne88cYbAHzzzTfsOLsVf/vtt5OQkNDOUR6WSBKEhIif7vDpp3D6tHAo\nWxfklhb47DOIjBwYLW9eHvztbyIC6usrnHWdTkTDdTqYMEE4yRd96XbJTTdBU1Pbsnh6PTz44OU5\nyQ0NsG4d7N4tnEirVUTnb7mlvRa8M+rq4PBhEan39xfOv8HQfRv6Cn9/+MUv4KOPxGMHB5E46eoq\nos2X6yTv3An/93/i/46O4hp9+SU89phwmhWGDfv37ycqKorws8mjN998M19//XU7R/ntt9/m+uuv\n58CBAzawcnAhI9PQ0oCP3ge/ESWcTo4EwD+qBJ1aR6O5EatsRS2pbWzppUlJAf/QOlIqd3Og8ABa\nlZbZYbMJ00ylqd6B6OjuHafK9UdU0VuoTlpB2OI0HAzNVCddgcYzizL/T4F7+3UcgwFHjSOTAiax\n5cdamrJDiL9uHy1NOn5cH0JBfSWRmXcRMqYSldpK+o7RnK7JZvlPNgJX2dp0hV7Qa+nFww8/zJ//\n/GdUF3yRl5aW4ne245yfnx+lpaW9PY3NGXAdTm2tqLcbFNQ2cqzVCo3rtm2dfrRPbd22TSTaGQww\nerQobWaxiOTEnBwRBW5shKsuYyFwcBAlz155Be6/n8S5c+HNN4XT3V1kGdasERUkgoJEhDsoSDx+\n553u1R8+fhwefxz++U/YuFFUonjiCXFz0gn9Og/mzBGR42uvhfh4uPNO8bi7N1atlJUJJ9nPj0Sr\nVdzghIWJ3+M777SXvVRUwP/+J34ff/87pKf3un5zTxgOWjdbUFhYSMgFcyg4OJjCwsJ27/n666/5\nzW9+AzAkIqW9mU8qSUWUZxSllQ2kbIgjYtJpIiefJmVDHKWVDUR5RqFW9a2T3F/zP6e4hlv/sJlP\nDn5FZWMlxcZi/rr1M+56cRc1xuZuH2db9jZGxpiIjj/FlvfV7PnPTDwCqpk8u5JDxck0tDT0i/19\nQV9e2xENt1CZORqv6euRHStRuRVhHPUPnGQfPNRBpG2ewNFt47CYtcy8Mo/NOT9gsVpsYutAYG/2\n9oReRZTXr1+Pr68vEydO7PRiSVLnvcLvuOOOc1EOd3d34uLiSEhIAM5f/MHyOOWsCGvAzr9hA5SU\nkHC2OkRrwltCeDg4O5O4dy/ExPS/PdnZ4Ooqzi/LJEycCMeOkVhdDU1NJNTVwYMPkpifD/n5PTtf\nXR2Je/Zcnn3//jds3UpCfDxI0vnrExYG6ekkfvopBAd3/vkffoB33yUhOhr8/c9/XqOB1atJXL4c\ndLp2n2+lX3//y5eLx7JMwtno9mV9fv9+Ei9KHD03PkmCrCwSS0rE49BQeO01EnNzwWAgwccH9uwh\nMSwMrriChPnz+3+8Zx+npKQMmr/3zuxrzbfIaU1AtQO64/Q+9NBDvPLKK+e2JrvanrSndbs3jxcF\nXcvtr35CUNgmwia4A5CbkUbiP/V8/Pa1Nrevu4935n6Dzi+Aqn0rkQO+xGzSUlV4DY6jt7ItPRlj\nzbRuHc/YYuTMsTOoLNUgj0e2qjA17qbgSBNShITJYmL/7v02H29Hj1vpi+OdOgofPZvAoWoLn3//\nOWqVmtAQFSPC68hL3kluWiju/nHMumUXhceLKDGW0LSwCYPOMCTWQXuyd/Xq1aSkpJxbr3pKrzTK\nTz/9NGvXrkWj0dDU1ERtbS3XXnstBw4cIDExEX9/f4qLi5k/fz4ZGRltTzxMtG49xmiEhx4SW/IX\ntzMuLhZ601/9qv/tWLMGjh4VJexaMZuFJri0VOiSvb37346L2bJFtATv6A8gJwduvRUWLuz883v3\nwnvvdf75Bx8UMgx75F//gj17xNy5mLw8uPdemDJFONJPPSVkMB4e599jsYj3Pf300C/V1wvsZQ3b\nt28ff/zjH9mwYQMAL7/8MiqViieeeOLceyIjI8+Npby8HL1ez/vvv8/KlSvbHMtextwXfPUVlFqP\ncczp79S31ANg0BoY13QPPozl2mvbf6a+XmyYGc3VZJRnYLFaGOE5Aj+DP7W1YiNuIDCbhVqrwWzk\njv/dgbeTD3WZkyk8EoUsw5h56TgHZyNJEq8teq1bx3w/+X32ZqdQtmcpHgHVuHjXkbU/ihEJezB4\nGHlt0WuopF5vUtslf0z8I1UNNRTtn4HZpEHrYMbUqCNq7n5MkpHVS1cP22szmLCJRvmll17ipZde\nAmDHjh385S9/Ye3ataxatYqPP/6YJ554go8//pirr766N6cZnjg7w9y5QvpwoUa5qUk0pxioquZX\nXCEkIGbzeYddoxFyi4QE2zjJIOQnnSHLbRPiOqKionPdrywL6Yu9EhEhWqZfjCwL57j1picvT8g0\nLm6Eo1YLXfOePYqjPASYMmUKJ0+eJCcnh8DAQP7zn/+wbt26Nu85fYHc6M4772TFihXtnOThxsqV\noFaPpcXyBgW1BQAEuwajVWuxdLKTvnu3zOYjqZyJeAdUQuIky+BdeCuxbvP5+W0Do2netQsOncoh\n0/c1UktScdY5Y7Zm0lD4FOr6YGbetBtJraW2ufvrXELQlXz8oQM+QQVETilFkqCppYn934/i+Qej\ne+QIWqwWLLIFrUpr13KfpZHLWPXXJDy0ErELjyJJMsd3R7P3h3Ce/E3YZV0bWRZpPwa3Jo6UHqGy\nsRJfgy9jfcdSW6XDy8s+2i4MJfr0Fqd1oj/55JNs3ryZkSNHsm3bNp588sm+PI1NuHgLZ0C48UYR\n1czNPV9SrqJC6Hu7SMjqU1tHj4brrhPVOvLyROOLnByhCb711j45RY/sHTtWOLrNF2nsTCbhyI8b\n1/XnAwLa1rS+EEnq9AbAJvPgcpk8WSQBlpefr1Hd2gFy/HjxuwNx09XZzYJON+A3C3Zxbe0QjUbD\nO++8w5IlSxgzZgw33XQTMTExvPfee7z33nu2Nq/f6O18Up/1abVqLREeEUR4RKBVa9u8djE+49LY\nX/IjVQcXE+oSSZhbOC0nFrD7WC6uE7suodmX8z94bC7/O7KFov3T8NX7o24IoGLTXdRSQMCcH0jb\nFEdJZR3jfcd3+5h5x4K5c/58Rk7NZf/uJPJq8tAHn+b+n0ZRcXRyt49z+DBs3lHLxykfc8/6e7jr\n27t4ceeL7DqewRdfdC89orERrLKVU5WnSC5KJqc6B1mWaeykvHV/ry1Vx6Yy0Wc67lM3kFt3itza\nbPRjtzApYgT1aYsu61hffZXIa++Uc/enL7LmwBo+O/oZbyW9xT3/9zqr360ZdDGc4bBu91nNknnz\n5jFv3jwAPD092bJlS18devji6Cg63uXnCydVpxPtjAeypq4kwU9+IqQehw6JvcVRo4Sjejltq/sa\nd3e47TaRtOboKMrC1dUJ5++OO9pKCTpi3Djw9BSdAi90ilurX4we3Z/W9y96PaxaJRL3LiwtOH68\nuMlqDUcEnO0gZbG0/+Y3GsVcUxgSXHnllVx55ZVtnrv77rs7fO9HrZVXFC6bDae+Z/y8YkoP+nF0\n2zgcDE0YK52ZtTyJrXkpLB+zEI2q/0uFbc/bxKh5hyjfvxhN2i85cVSNg9ZMxLL/0OBYgWflrWRs\njWfVs/O6fcz580GSQpB5iS9avmDarGkEugSiVWs7jTl0hHdgHY+9vx19RD6xk/1QS2ryiht46KPD\nPPYzkKSu197SUvj7P+uoHf02ldJJJEnCKlvxtU7A+cQ9PHCP/pLLf18za5bEokVTqWoO50TFCayy\nlSjPKPwNgdTUXN6x9K5NFAa+Q+6P05iy2BM331oq8r1I3hOM7oq3Mbg8SavrVlkJrq4yJQ2FnCg/\nAUCMTwy+ToHU1V36a1Che/RJHeUenXgYad2GFE1NIiRw7JhwyKZNgxEjbLcXlJUlZAYFBSJSOn9+\n95uWFBaKOtUXVoQPCBD65As12faK1QrZ2eIGwte349J769bB99+fr4ohy6JbpFYLL75ov3WpB4Dh\nuIYNxzFfDvd+dy8ejh6o0bFzrXBCZ960B52TibyaPFYvXY2rQ//XMn9046NoVBp0koHPn78eWV+C\nfvGryPoyjCYjV0YtY7LpUQL0oSxe3O/mtOGHkz+wdv+3VO5dQfCYAjyDqkjZGIvfuKP4RRVfUuvc\nYmnhV/9Yw8nkYGavOIXerZG6CgO7v4tg4pxi1txxn13rgffk7eEfh/6Ba/0kjv84msCRxRRlBjB+\nwVGqtEd4dOajjPMVO6ZffGFh88mdNEavRVJbQQbZqkZ/4hcsmzCDFcvt9zr0Bzaro6wwjKishNde\nE80x9HpR03njRli0CH7608uv9dsXREX1vJtfUJAov5aZKZITPT1FG+nO9lXtDZVK3MR0xQ03iPdt\n3nxewxwRIRJFFSdZQeGy8DP4UdlYRXlaDM6edWgdW8jYNYrouYfQqXU4abrIrehD3J3cqWiooDo/\ngqBRRah1Zlzr7iBgVBJljSW8uOAFXHSutqgCSVJhEv7ejoQuTWXf59MBGD07A/+oOnKrKyirL8Pf\nuYNE5LMcLTuKFJDC+HhHUjfGMWJqFln7o5k89yT17slkVmQy2tt+dwTLGsrQqDR4BlXiG36G3LQw\noqZl4epTS1U1VDVWnXuvYdx2ju7KxK9hKWPnHQck0raMIbvlEDeNtQBzbTaOoYRyu9FN7EmH06Wt\ndXWi4sOmTaJebmdZKR3xySdCIx0eLiKUQUEiErlpExw50j/29jcajZAYzJwp5BaXcJLtaR5AN+zV\naEQDmNWrRZWLl16CZ565/O6IfYC9XVuFwY0t5tOSEUs5sjuI6jJn4pamMmHhEdQaM3t+CGFB2JJz\nGueO6Et7F0Qs4ORRZ7IPhzNpeTLTrtmPucmR9F0jmRMyD1cHVySp57GN3tjaGtWzWs6f3GxSn4v0\nSXS9O1lYW4haUhMQXYJ32BnSd4wlKKYAn/AzAJTVl/WpvQNNYVohFquFinwvynJ8CI/LITctlJoy\nsRPh4ST0FLIsszH7O6YvyQOrmmPbx3Fky3i0DlamLMhlw6mBabNuT9e2pygR5eFEcrIoiWYynZdK\nhIbCww8LzW9XVFeLFk+tiWCtqFQicWzrVoiN7R+7FfofZ+eB1b4rKAxBGrKmEqmG5vgPKGwwI0kS\n+tgcRhy/HtPRxdD93Lle4Vgej1MhOE//hFq1FY1Jg8vk9bQcWILL6WXI02ynlpsVMosPdv2Pyn2x\njJ6dgbt/NSkbYjGajESMM+Fr8O3y826OblhkC8ZKZ87k+OIZVEFRRhA+YcJRdtbZ9zo2wnMEe7Mr\nSEkKZeqSo7j61OLqU0vSxgjGz284Fy1vsbZQ1VRFuHs4MXPT2fXvOQDMuXUnKrWBvJo8ZFm262oi\ngwVFozxcKC0VEUMvr7btnQsLhdzg8ce7XjkLC+HZZzvuEtdaPPTFF/vebgWFQcpwXMOG45gvh8pK\ncHKSqWgp5EjpEcxWM6O9RxPpHkV5uTRgqQ9FRaDVWSmzHmdvwV6azE3E+ccxwXsyRXlONs1Vzitu\n4JfP78Apei9jJpjQqrQUltVzbMsUHr5uBjdf2XlFJ4C65jru/c/z5P84j7GzcvEJP0PxSX9OHAhg\nxPzdrLnheRw1jgM0mr6npARWv1dBacRqZNf8c8+rq0YRWHgvjz3ghpubiCg/uulRJKuW7F3xqNRW\nrBYVKrWF4On70Ds48NKCl2w4ksGHolFW6Jrdu4UG9UInGcQW+/Hj4q+ztQpCR3h5iW16k0lU37iQ\n6mqYPbvvbVZQUFCwIzw9ASSCnYIJdm27+zaQ+cFCOaXCh7GM9R0LiHJqtc21hI6QAX1XH+9Xaiv0\nPPeLeRQbGties53GlkZiwyfw29/PpPBYOLLcdcymuc4Fn1MP0Rj7Ho0eBZQaHTD55uI9NgqfrMdo\nrnfEcYAau/QHfn6w6gEvDK6/52jZ0XN1lMf4jKG2Wovr2VxQSZJYEn4Vz/8tkwD3FsbOy0CWJY5s\niyF5awQv3h9n24EMIZSIcjdJTEw81xZxsNOhrX/9K5w8KRzei8nPh0ceESXfuuKrr+DLL4VGuVXL\nazSKMMrzz7eXZfTG3kHKgNhaVSV+VyCi/b2o8aNc2/7D3tawvsCexmxv86k/7JVl+PRTGY+Yw+yo\n+IzyxnJkWWZSwGSCym8lzN+dyd0vgdyvtnYXs1kUOXL1qySpIIkSYwnBrsFMC5pGZbEbYWHttdf2\nNBcux9bPP7eQmL0L44iPkSWLKJVnUeGa9SsWj5nOyhX9n4ZmT9dWiSgrdE1wMKSmtneUWysdiFBI\n16xYISq9X1gj22AQGuceOskKFyDL8M038PXX4nciSeJnxQq4+mqlHZOCgsJlIUkgBR7m2b+eYMoS\nPaGBoVisVjZsbqahZDOfPrcYsK/wq0YjYjXgyZXRbWuDu3Wt2hhyLFig5lq3eZTUR5NZngmIOspe\nP/HDaLSxcUMIJaI8XOhKozxypNAod5eqKhGF1ulE+bG+bjxSViai1O7uovnHcGHfPliz5nxNYxDh\nk5wc+M1vYNYsm5qn0JbhuIYNxzHbkoMHwTuolrTaRPYV7EOSJGaFzCLGaR415QbiLrG7braaeXTj\noxiLQsg/OIHxC9Moz/WhPM8bj+nfcPOkFSwfuXxgBqOgYGOUiLJC1/j5wb33iqoXZReUzwkPh1//\nuuPPGI2iwYiHR9uyaR4e/dPyp7YW/vlPEflWq0XpujFjhH2XqsoxFPjmG/DxOe8kg/i/nx98+60o\nYadElRUUhg21zTU8/lwiAbM2E+jniCzLfLzrB87sgz/dNRfousJDqbGUOlMdoSOMOGoySf52CgAz\nb9pNk8pAclGy4igrKFwCpY5yN7GnWoGd2jp5MrzxBtxzD9x6KzzxhKhkcbETeuaM0DT/9reiFfKj\nj8LOnXRZnb6sTDh6770H69eLesuXY6/VCm+/Leoxh4YKKUdoqGgG8uabl1fvuR/pt3lgtYpU9Y6a\nfLi4iB2BHlyDITFvFRR6gL3Np47szdV/iWt0KhX7lqNu8kHV4E/V/hW4jtlLgeMPlzymRqURNYut\nMsaKs2uLJNPc4IDFakGn1nV9gMuwdTBjT/bak61gf/b2BCWiPNDIsnAqm5tF0w7HAS5j4+wM06d3\n/npdHbzyiojuBgeLrIiGBnj/fVHxYuHC9p85eBDefVf839ERkpKE0/zgg5dOEGwlK0sksAnxmUCS\nRFOT3FzIyOj+sewRSRI68cbG9pVJGhpEreqh0jFQQUHhklisFvbk72H8RD/KnHNJ+jIegJi56biH\nmtmes50bxt7Q5TF8Db4EugRxJMkbU6k3M2/aTU2ZG2mbx+M2NZfrFyrVihQULoWiUR5ICgrgo4/g\n9GnhGGm1sHIlXHmlbdo/d8SmTfDvf7d1WEFIMGprRXTXweH88zU18NhjwslzuqA9q9EoHLzXX2/7\nfGckJoprE9FBNkZeHlx/PSxb1pMR2Q+bNsHatRAZeV5iIctivvzsZ7B0qW3tU2jDcFzDhuOYbUWL\npYW7vr2LULdQGqqdOfD1VADir03CwaWewtpCPlj5QZcNJWQZPvm6kL9vSCT6ij0EeLpispjIytRi\nOr6Id5+aTXiIQ6efV+g+xcXg7dtC+pl0squzcdG5EOcfh9TkhV4/8DExhfYoGuXBTlWViNRarUJS\nIEkiqvzZZ+K5FStsbaHg0KGO9cCOjiISXlzc1olOSREJZxc7w87OUF4u2mR3p/6Qk1Pn+lurtWNJ\nwlDAZBLzQK+HK66AU6dEUt+FyXwzZsCCBba1U0FBYUDRqrWM9B5JVl4t+T/GEjM3HUuLmpSNsQTO\n3szEyNhudV0LdAni//4wnx9LmkktTUWv0XPflfPxTZhNS5PiJPcFZjP8a109R6RP0UTsQaPSYLFa\n+HD3//DIfIgHfjbCpk1eFHrHIAljDn56rcPZvVtEWH19zzuEDg6i09369WLLvY/ola06nfir7whZ\nbptoBiLK3FU0vL7+kqdMTEyEcePEuRsa2r7Y1CTOOWHCJY8zEPSZHquhAT79FO6/X0hUWnXgd90l\ndOPLl8NVV8Ezz4iKFz2sLGJP+jF7slVh8GNv86kjexO8byR1Uyx+E1LwjSglYGQRnqOOkL5lKnN9\nr77kMSVJ3GNHBwTyi4m/4K2lb/HywpdZHLWYuPEOREf33laTSfzb2NJIRnkGGeUZNJubkeXzr9ma\n/p4LarWMafz7ZGe4IOXOI9g1GB9pNKW7l5Ln8TGGgPxLH+QsQ2HeDjWUiPJAkZYGbh3Uq2x1TEtL\n28sdbMGcOSJK7OXVNsJbXS2qL4iWT+cJCek8yUySul/ezWCAu++Gv/1NJAIaDMKZtFiE89jRtbNX\nWlqEhOXkSaHB1mrFDcVHH4nrfO21ouyegoLCsKbk+AievsPKQUsa+bUlIEP0+GBuGDuDwvRQ4jpQ\nqtWb6rHIFlx0Lt2KOPeWr76SKbAcItPlH7RYWwDQqRwYWXMfI1zG8ZOf9LsJNqe0vpRT9SnMWRlN\n2qaJNNY5UVXkQdTkbKx+xfyY9yM/Hf9TW5up0EMUjfJA8dZbooKDj0/b52VZaHBfeqnrFtIDhdks\nqk8cOgTe3iLqXVEh7Fy1StRcvpCWFhH1rKoSTrEkifcWFQkn+ve/vzz9dUkJ7NolrklQkGiNHRTU\nt2O0NSkpwlEOD297M2I2C2nLm29yrk+pwqBl2K1hDM8x25LWds6yLFPRKCoJeTl5nf09nF8+duyA\nOmspGQ5rOVZ2DIBg12Bmu9yGMW8k113X/rh5eeDpX0dycTIFtQX46n2ZGjSV+goP/P3bbx52xo7M\nZB7/81GiRjczcnIRsgwZSSHk5qh456lpTAkbwknYZzlRfoLXdr9GiFsI1SXupGyIw8mlkfjrkqhs\nrCTcPZxHZjxiazOHPYpGebAzbx4kJwvn80LnqKJCOJSDpbGGRiPkAHv2wLZtIilv5kxYvLhjh1Wr\nFbKBv/9dJJ2pVEJTHBMjIsGXm6To7y8S94YyKSkda7I1GvENlp0NsbG2sU1BQaEdzeZmmi3NOOuc\nUUkDp1hsXSIkScJb793hawD+kWU89fxO/GNaGDcxBAmJ3BwVTyce5uUHANoGOIxGeG9tOVmu72MI\nzcRB44DJbOKDLTsILLyXp+4Pws/v0vbJsszmgq+YuqyF7MS55Kh1WFrU1Je5M3HJdjblFQ8LR9lL\n74VVtmKsduD4zhgiJp2m9JQ/ualhqMLzCXMLs7WJCr1A0Sh3k17rcMaPF53VsrNFklttrehuZ7HA\nL3/Zp40kem2rVisc++eeE1Ur7ryz66iuj4+IHD/3nNDbvvii6PTXzSYh9qRx6hNbtVpxM9EZfVgB\nZdhdWwWFs/R2PqWnwxff1PNB8ofc+/29PLThIVZtXsUPaUmsXSt3msrRU3pjb1LlBkbM/5H6UxMp\nPhFMdYkHhftmMmF+BrvrPm0XRXPQmyiPfp2SozHozsTj7+yPwRhHafIMyiLfwtGtplu2tlhbKKgt\nwNvdkbilqeSkhJN/LITYJan4uruQVZk1KHYg+ntt8dZ7M9owi51fRxAWd5qwCXnELkkhL9OdkmMj\nmR3a/TJ89rYO2pu9PUGJKA8UajX86lcwdarYJzMahR547lyhB7Z3JElU8wgNtbUlg58pU0QpuAv3\nTkEkLmq1EBVlO9sUFBQACAhp5LEPNmJ2rmXqvAC0ag1nyi08sy6LX1wNGk28rU08R3JRMsG+BgKX\nppD0haiTH7c0BTc/K3k1edSZ6nB1OC/nyijPwORQzPSrTpC6MY7KAi+qS92YvPgoVdozHCo+xPyI\n+Zc8r0alwUnjhMnSQsHRKBz0zciyROHxYPzGHsfVwXVAdNK2xmwGUm9j+px/U+uZRE61eD5sXil+\nWY9zJscPv3E2NVGhFygaZQWFgcZqFQ1cdu0S0XgnJ5HEV1cn2nXPmWNrC9s78QrtGI5r2HAa846c\nHXyw/xOq96/A1aeW4JhCUZpt7EkcQ9NZvXQ1DprBUV7tsU2PoZJUNJcHkroxDoDo6ZkEjCqgoLaA\nt698G4POcO79u/N28/6h9wl3D6cgPYis/dEEjCxi1MxMCmoLWBa9jGtjru3Wuf/f0c/5x//LxqFu\nNLFLUpGtKlI2xGL2TuWhm+NYFj206t8fPAg+QTWk1u5gX8E+1JKamSEznUEueQAAIABJREFUCTTN\nBbMel9BsiuqKcNI4McZnDFaTEw4O3dd8K/QfikZZQcFeUKmE3Gb0aBFZrqoSTUauukpou21FUxNs\n2QKbNwunPToarr7atjYpKNiIQ8WHcHd2JGxxGvu+iKfweDAjZ2QSOKqCvJpm8mvzifIcHLs/c8Pm\n8nHiTmoPjSVuaQoOhiZSNsRR0VDB7Bnj2jjJAD4GHyQkKgo8yU0LY/Ts42QfiqT4pD8Wn1yCXYK7\nfW6nguXo67fhPO1Lqsw6ZFnGPT6HxuQbcSicCz0sQTdYqWqs5vHnEgmYvZlAXydkWeb/dv9A+V6Z\nl+6eR6xHJJEekec/0LPKngqDCEWj3E3sSYdjT7aCfdnbZ7ZqNEIH/qc/iZJ4jz3WfYfUYhECynXr\nRMOaEyc61Tx3296WFli9Gv77X9FcJjgYCgvh5ZdFA5QBwJ7mgcLgp7fzSavSYpWttDRpka1id6W+\nWk9rQEot9W1L+d7YG8kCqpIX4DZ5IzqvIiSnanxnfU/p8WhGNd3a7v1RnlE4Gyeyf2sg4644gn9U\nKbFLUji235eWwnHE+nedTHyhrTHRjqz94yIennMPsX6xTAyYyKor7uWjPyQwIlzX4zH1JX25tuQZ\nvsA1+iiV+1agbvZGqvenKmk5LmP2UOC4odfHt7d10N7s7QlKRFlBwZ5oboY1ayA1VZTuk2X44QeY\nNk1UGelhYxJSUoTzHRFxXnLh7S06Bn7yieiu2NNjKyjYITNDZ/LjiWNk7YtlxJRT+EacIXXTBI7u\nCSZ4UjWhboMnH8PcaODtx+ZySm5hZ+5Omi3NLBk3jWlz51F8yqfd+411KrzzfsXsZe9RqT1KTY3Y\nkp58ZTPuGQ9SUebQrmR+Z4iS71qmOE9hStCUNq+5D7Eql2armb0Fexk/0Z9SQ945PfiYeem4hVjY\nnrOd68Zcd4mjKNgbikZZQcGe+OYb+Pzztg6tLIvSfD//OSxa1LPjrlkjHOWL63yDKLj69NNKkuFF\nDMc1bDiNuazczK9f2IU5ZBujx9fjoHGgrKaW41sn89OZ87j3p5F2LeOvrwe9Xia7OpuKhgrcHN0Y\n4TGCpkY1er2SotARzeZm7l5/N2FuYdRXOXPwm6kAxF+3D52hnmJjMR+s/MDGVip0hqJRVhhcNDeL\nboRFReDhARMngouLra2yb6xW2LhRdEe88FustQPihg09d5St1q6/GYeJc6Sg0EqDUcPTt87C6GVh\ny+kt1DTVEBccw6O/TyAvLQKLxb4TtAwGAInIizS1BkOnHxn26NQ6ojyjyM5vIH9XLGPmpdPSrCF1\nYxwBszcxOTLO1iYq9AOKRrmb2JMOx+a2FhXBU08J7e2334rWzI89BkeOdPh2m9t7GdjU1pYWEQZy\ndGz/ml4PlZXtHNpu2zt1qkjgu5imJnG+ASj7Z0/zQGHw09v5FB4O8VO1LIhcwMsLX2bNVWu4f9r9\nxAREsGRJ3zvJ9jT/7clW6Dt7JUkiwfsmUjdPwC/2MD7hpQSOKsQt+ijHt0xlrm/v+3UP12s7mFEc\nZYW+xWKBv/5VRJTDwkRSWFiYaMn89tuiDJpCz9DpwM+vY4e2urp9S+zLYeJEUXkjNxdMJuFwV1eL\nhL6bbhJ6aAUFBYVhTllGNE/fMYngqGrya/PJr8ln9IQ6HrtpJoXHQ2xmV2Oj6JSYX5NPclEyJytO\nYpWtZ5+3mVlDAkWjrNC3nDgBr7winOOLyc2FW2+FBQsG3q6hwu7d8O674vq2JteZTFBQAA89BJMm\n9fzY9fWwfr1oXd7cLFqrX3NN7445hBmOa9hwHLOCwoW0lpiXZZnyhnJUkgpPJ8+zfxu20XbX18Ob\nbzdRH/0RxeokVJIKWZZxk0LxyHiYO2527/ArebihaJQVBgc1XbQ+1emgpGTgbBmKzJwJFRXw9dfn\ndcUqlbgBmTixd8c2GET0+PrrRaspna79qi/LovV6QYGIMsfECNmHgoKCwjCgdUmUJAkfg0+Hr3WE\nLIuy+YGjCvnxzNeklqSiU+tICE8g1LQUnWQgtuuqfJ2i18vURnxM4rfezFw6AXf/WpqMDuz5Nhr/\nUR/hE3g3oKzTPaVX0ov8/Hzmz5/P2LFjGTduHH/9618BqKysZNGiRYwcOZLFixdTPQS22+1Jh2NT\nWz09xYrQ0V2byQRBQe2ebmNvY6OIaD73HDz7rIhw1tb2n72Xic3ngSTBypXw5pvwwAPiZ/VqWLy4\nw1W6R/aq1cIJvvh4jY1CVvPss/CPfwgpzcMPi1ZVfYDNr+0QZsOGDYwePZro6GheffXVdq9/+umn\nxMbGMmHCBGbNmkVaWpoNrOxb7G0+2ZO99mQrDA57JQkaNQX8+oVdJJ08iY/BB4POwCdbD/Hkuzsw\nuNcDPbM1ryaPMoe9xC8s5FjiOEpP+5KyIY7oCdUYItM4VHyoj0dznsFwbfubXjnKWq2WN998k2PH\njrFv3z7WrFnD8ePHeeWVV1i0aBGZmZksWLCAV155pa/sVRjsREYKrWxpadvna2pE5HHKlA4/BkBD\nA7z6Knz8sdDH1tfDF18Ip7miol/NtjtcXYUkYuJEcHYemHOuWweHDwvZR3i4+HFzE0mbBQUDY4PC\nZWOxWLj//vvZsGED6enprFu3juPHj7d5T2RkJDt37iQtLY1nnnmGu+66y0bWKigMTWRZJlX9IaET\ncinZvYQWowt1BSHUp8/Da9pGMk07enzs0vpSJCS8gquJnJTN8Z1jcPEyEjK2AJ1aR251bh+OZPjR\npxrlq6++mvvvv5/777+fHTt24OfnR0lJCQkJCWRkZLQ9saJ1G7pUVIgoZ6vzJMvCsXvwwdbq9B3z\nzTfCMY6IaPt8YaGoyqB8eduO2lqhgQ4KEhHnCykshLlz4bbbbGObjbCXNWzv3r0899xzbNgguoa1\nBi6efPLJDt9fVVXF+PHjKejg5sdexqxweciyKEoUElXLgaJ9HCk7gouDC7NCZuHSHIOjgwpfX1tb\nad9UNVbxyMZHCHULpTgziMy9IwGYvOIgkksJOrWOlxa81KNjHz9znNd2v4afZiQpG+LQuzVQV+HC\nuPnHqHZI48axN3Jl9JV9ORy7xOYa5ZycHA4fPkx8fDylpaX4+fkB4OfnR+nF0UWFoY2Xl4gCZ2bC\nmTPCSY6JEZrXrti+XVR1uBh/f0hKgttvV6ov2IqKCrF3eLGTDKI+dq4SsRisFBYWEhJyPhs/ODiY\npKSkTt//4YcfsmzZsoEwTWGQIMuwO7mKb/79Nb5Td+Kmd8ZkMbHx0DE0x27lhfsm4+urFMnqDVbZ\neu7/WoeWc//XaC1Ykdq8frlEe0VjsAay99tRRE0oJGRsAZWFHqRsHYXvtCKmBk3tle3DnT6Z+Uaj\nkeuuu4633noLl4uaSkiShDQEWvzYkw5nUNiqUsHo0TBnDsTGdukkn7O3qanjNskqlUhcM5v7x9bL\nYFBc28ugz+x1cxO/A2sHi3l9vbiZ6SX2dm3thctZf7dv384///nPDnXM9oa9zSdb2itJMuXh72K2\nWqhPXYa7zgt940hqDi6jOfq/NLkebfN+5dpePp5OngS4BJCd6cTJpGgmrzjIyBmZpGyMpai0ifig\neKBntpqaNHhlPoLPyGysQbspNZZidE7Fe9JOfLLvx1Tt3cejOc9guLb9Ta8jyi0tLVx33XXcdttt\nXH311QDnJBf+/v4UFxfj28mezR133EF4eDgA7u7uxMXFkZCQAJy/+IPlcUpKyqCy59zjefOgpYXE\nXbtApbK9Pb157OhIQnk5BASQmJMjXg8Ph5oaEs1m2L+fhPnzbWpvK4Pieg2kvWlp4OxMQlERBAef\n//0EBUFTE4lOTpCY2Ct7U1JSbH69LmVfa2Jyztnx2wNBQUHk5+efe5yfn09wcHC796WlpfHrX/+a\nDRs24OHh0enx7GndVh537/GYqWM4XXMSf79M8lIj2HdmBlaLChefr5Fr80nMSWSC3wRlHezFY0mS\n0B8dQ9IPmcy+bSfOnmrKclMxWrU07VpJ3IL5PV4H581L4PYbvcjIiuFEhQqP0R54G7wx68yYPLPx\n9g7rt/EN5nV79erVpKSknFuvekqvNMqyLHP77bfj5eXFm2++ee75VatW4eXlxRNPPMErr7xCdXV1\nu4Q+RevWS2QZ9uwRne9KS0Wi3JIl4sde5Ql5eUKy4ewM7u5iq7+uTsg3HnsMJkywtYXDm5oaeOMN\nIbPQaERzGYBbbhFVN4YZ9rKGmc1mRo0axdatWwkMDGTatGmsW7eOmJiYc+/Jy8vjiiuu4JNPPmH6\n9OmdHstexqxweeRW5/LCzhcIdg2musSNlA0TkVRW5vzsR4zmGjwcPXhm3jO2NtOukWX46ivwHnmS\nnZX/4VTlKVSSiunB04lovAEXrTvx8f13frNZ/EiaZk5UnKCxpZFg12ACXQJpaJCGRevynq5fvXKU\nd+3axdy5c5kwYcK57b2XX36ZadOmceONN5KXl0d4eDj//e9/cXd37xODFc6yfj189hn4+goNcFOT\naB0dFyeS5jrSktoDmZnwr3+Jsciy0DvfcgtMnmxryxRArLTp6ZCVJeouT5zIcM3ysac17IcffuCh\nhx7CYrHwy1/+kqeeeor33nsPgLvvvptf/epXfPXVV4SebVWu1WrZv39/u+PY05gVuk9jSyMPbngQ\nh/oRZCROZNTMTEqyhJzKJW4DK2KWcW3MtR1+1mQSS4JXhIg859fmE+gSSEJ4ArV54URHg5PTQI5m\n8CPLMs2WZtSSGq26A7lhP3D4MHy1pZDSEX/GpKqBs01T/I1L8DlzHQ/9Vme3bkN3sYmj3BvsbcFN\nvGBb2ebU1or6tf7+bTW9sgw5OSTOn0/CHXfYzLzLpd21lWURRbZawcdnUDn9AzoPrFYoLxfRWw+P\nHrV8GlTz9hLYk61gf2tYX2BPY7a3+WRre99P/IF3/1nN9IUl+IbWYLVIHNgcRovVzKfPXI2fy3md\n64W21tfDH97M5ij/IXhCFi46F+pN9RSkhxDZcDN/ejQaNzcbDaoDewc7/WVrcV0Jd77xbyyVoUxb\nloHWwUxxli+Hdnvys1vNPLTg1h4d156urc2rXigMIKdOCWfy4sQ3SRKyi6ws29jVV0jSwEUpm5tF\nw4wDB8Tj+HhRn9jW8pX9++G//4WqKuEwR0WJ7ntKH1IFBYU+xmoF07El/OKWzaS0bCWvxopVtjJh\nfjOB+Q+Se9wbv2kdf1bWGimPfh3LroWYT/vjFpdD7amxmPL8qJ69GovuBcBzQMej0J6deTsIjD1G\ny0kfUjfG4h9VSt7REOauPESa8STVTctxd3S/9IGGIUpE2R5JSREd0s5uk7ahsBAWLICbbx54u+yN\n+nr4y1/g9GkhXwERrY+OhkcesV1r5uRkeOstcbPg7CxuisrLhezhuef6pMKEQu8ZjmvYcBzzcMFs\nFptXRpOR4rpiHDQOBLsGI1tVqFSdb2glFSTx7sF3CXQYScqGWEyNDmh0LcQtTaHUnMntcbeTEJ4w\noGNRaM+ru16l2FiMm4M7e/4zk5YmHROXHcLNt5b8mnyemvMUUZ5RtjazX+np+qXqB1sU+puoKFEy\nzWRq+7wsi+cmTrSNXfbG999DdrZocOLlJX4iIkREfuNG29hktYpIsrf3+Y57kiQkKFYrbNpkG7sU\nFBSGNJqz+8vOOmeivaIJdQtFJalQq7tWfTWZmwDQOZnwDq3AbNLgEVCNo3MzkiRhNBkHwHqFS+Fr\n8KWhpYHSU35IKhmv4ApO7ovG1KT+/+3deXzU1b3/8ddMZrLvAZKQhZCQsCRkYQcFQQybiBsqUgXX\na22tF29LbW/tr71tFazXS7HUqlVKr1t7b+sVVEAWiaCsAgkkICSQfSVkI/ss5/fHaQIkA0yGJDNf\ncp6PRx48MjOZec/wnTPne+ZzzsEiLPh7+Ds7ostSHWU7dV1mxql8feG+++TOd7W1soPc1CRHRidM\nIKO01NkJe8Qpr60QsHMnDB3a/brwcNi+Xd6miz7PWl8PVVUXR7gvFRIiZ2T0gEsdt9egpayK69Pa\n8aSlvJdmjfSXSw0WZUdQlT+Y8QsPU1/lT0FmDFZhJTYo1kkpL9Lqa9ubZgybQUVeKHnfDCN1bhZJ\ns48TFF7Hnk+Gk+CfwhAfx8odtfTaOkrVKPeH5mY4cgROnZLLnk2aBJfslOWQOXPkqOMnn8jluoKC\n5BbCs2bB11/3Tu4bmcVy5Q1O3N3l/5kQDk2guy5Go3xMq1V+a3Apsxk8Pfs3j6IovaK4GAICLRQ2\nn+BQ2SGswsr48PGM8E+iuqp/Vj7oC7FBsfhWpnMoU8ctdx7B289E8tyjfLkxhlHMYuSikc6OqADt\nlXGEVn2Hxml/oJomDI0G9CMKGGqZjueJJ7Hc4lLz5l2KqlHuaxUV8NvfQk2NXCPHZJIdnsWLYcEC\nOSKs0zm8qgHgnA7djeA//kNuzRzcZaLJ+fOyDvhnP3NOrjVr5ElV11rks2flhL4BuGaxKxowbdgl\nBuJz7i07d5n442e7MY7/kAA/Azp0XGgy0XTkbh6Zfht3LtTm+ve1tbD+L224pX7Asfo96NFjwUKi\n/2R0x5fz0ANehIY6O6XS1AQtLWD2rOBw2WEa2hqID45nbGgylWXuNqc83WjU8nCuSAj49a+hvJzL\nWgqTCbKz4Z+7miGEnJj30ENyIpnSP44fh1dekR3Sjol7zc3y5OYnP4ExY5yTq7wcXnpJZgkOlqPf\n58/L2vQf/cj5i5I2NspVOU6ckCUiU6fKbAPsZG1AtGFdDMTn3Fu25G5lzQdHMdSOJXVuFno3Qda2\nsTR75vH0gzEsTrzX2REdZrHI0cjallpqW2sJ9Awk2Cu483JFcQVqMl8fc6gOp7xcThbrutRZQwOc\nPCknjUVFyU5ybS2sXg29sDWu1mqGHM5bWytPOPLyLu4S1xNjx8LTT8vT7LNnZXlMfj7cf/8VO8n9\n8tqGh8vR7gUL5AwbPz9YvhxWruxxJ7nX85aXwwsvwLvvwrffwldfwW9+A3/7m82a7p7Q2nGruDZX\nO562n91GytRaBg+r5vCn4/lm03j8BzUy8ZZqdubv4ItdXzg7ot26vrYdneEgryBig2IJ9gq+7PLe\nZrXKfy1WC6UNpZQ2lGKxWi677mp5+4oQcs+shrYGtp/ZzluH3+Kjkx9RdqGMoiL5UXMtrnbcXovW\n8jpC1Sj3pcZGbE4ZPnHiYoen47rgYLlixaZN8Oyz/ZtTa0wm+PBDyMi4WM8bHAzf/W7PR+SnTpWl\nMK+/LmuTvbzg73+XHcLly+VlV2M2y/9nb+9r37YngoPh3nvlj6sQAt5+W649fel6zhaLXEEkOdl5\no/CK4uLqWuuI9I8kKrGEwqwYAIalFGI0uNPa3IrZanZuQA3ZuBEaPU5x1O1N6lrrAAj0DCTV/BT+\nppHcdZdzcrW1wYcbqzlqfo/g0cfwMnrRam7l/Yz9DC56ip8/E0dEhHOyKY5TpRd9qa5OrscbEXHx\n1NpikRPwdDoYORJGjbp4e4tFbt389tsD7mvsHvnrX2XHbNiwi69rfb0sVfjNb+RSavY6exZ+9StZ\nftExUc5qlRMkFyyABx6w/XcWi1yqbfNmWfxlMMiJlHfd1X3Ut7ZWlk74+2t7u+eKCvjpT+U3IF2P\nz8pKSEmRJysDxIBow7oYiM+5t7y05yVKaqop+WomfiEXMHiYqC4cTOysPfj66Hhp9kvoVLtvl4Nn\nTvP9Fw8Rn3qOhGTZUT6dFURu1iD+8LOJTIpLcEoui9XCc5/8nGOfpxGT0ERMagE1pUFkfxnPoElf\n8NqSHxHmq9bBdxZVeuGKAgPh5puhqOji90E6nRwR1em6bxhiNssd4VRjeWWNjbBjh3ztLv1eLyBA\nvn579vTs/nbskK/5patJ6PUQGSmXj7vSd2V/+xt88IEcSY6Olp3zzz+XG8F0lIE0N8Nbb8mTpVWr\n4Mc/lhuc1NT0LKOraG7mijsPeHrKE0NFUWyaO+xOjn6eiEfgeUZMziUmtYDAqHIOfDaKOdF3q05y\nD+wo+ztp87KoOT2K0pMRlJyIoCZ3JKnzMvmi/COn5cqryeMC5Uy7I5eq/MEc3ZzGyT2jSZl9Cr/B\ntRwsPei0bIrjVEfZTg7X4SxdCtOmyc5yUZFc+3joUIiL677zW0UF3HKL87I6SY/yVlXJEgCDjaoh\nf39ZN9sT+fm21yw2GmWHt0vnLyMjQ+6St20bxMRcHD02GuUI98mTMoMQspO8b5+sQ4+KktefOiU7\nyyZTz3I6qFePhSFDZCfZbOMr4oYG+Q3JddDacau4Nlc7nsqyErl70iSCkw9Q3FBEcUMR3vEHuXfG\nGCqPTHS5vFfjzKwWq4XT508TPtiL1HmZ5B6IJ+9gPKnzMhk62Jtvq7/FKi4vVO6vvI3tjejQ4e7V\nzrDkIuqrAvANbiQgtB53N3dqmq89SKKl4wC0l9cRqka5r3l6wlNPwd13y+2lvbzkUnC//a38en/Q\noItbFIeFwbx5zk7s2nx85Oi8rSXxWlu7L/V2LaGhkJsr7/dSHaPCHbvjXSo/Xz5215kqOp3sMOfk\nyAl4mZmyc9yRU6eTZTgFBXISotZ2UPT1hfR0+Oyzy8te6urkicv06c7NpyjXyWyWXyRFjT3LjuJP\nOVV9Cn8Pf9Lj0vGqmk5EuNHhZbTmzoWFxrG0WX7H2dqzCCEYHjQcL4M37e3ynFq5Nr1Oj4ebByar\nieqiSNDJr9LPF4cwOCEfT4MnOpwzOh/mG4ZVWDlfEkjeoTgSZ+aQfzSGgswYiClgeNBwp+RSro+q\nUXaWujr48kvZOur1ctT5lltkB0u5MiFkGUNx8eVL7lkscsT++ed7NqGsY4m46OjLR6mLimDKFPiX\nf+n+N0eOwO9/f/mEtg7FxbBwoTzpeest27cpLZWfmosX25/TVZhMcovtnTsvTqQcNEjWJsfFOTtd\nvxqIbdiN/pyFgNfey+Nv+3eTOPsoQwL8aTW3kn3YH6/KW/j9v0/ggr4Iq7ASExiDr7svbW2yekvp\nP3/N/ivvbc7FXDSR1HmZAGRuTcUQfZCHbx/JA4lXmFvSx4QQ/PwfG/j8Ux9umldCYFgD7S3ufP3J\nCAYNq+S/n3sMH3efa9+R0iccbb/UiLKzBAbCnXfKH8V+Oh08/ji8/LIcmfX1lauFtLXB7bfD6NE9\nu7+kJDkBr2OCpV4vh5ViY+HBB23/TUKCHE3t+glptcoOe2rq1et1zWbbI9VaYDTCd74jX+uyMvmN\nSUxM910EFUWDLMJMXshrhIWlULkvndD0YzTkD+Pc3nGYo7ezImMdAZ6yVEuv0zOi4XGidFP4zndU\nfXF/GlJ7B+2FGYRM3UirQbbBQVM2cn7fQobUznRartZWHb5nl3L7Xe9TwDEu1LthFVYmLGgj6NQK\nKop9nDqeUFwM1TUmmoIOsOPsDhrbGxkzeAy3RM6hKDuSGTPUute2qE83O2mpDkdLWcGBvKGhciOX\nRx6RHeMZM+DnP4f77uv5REidDu65B773Pbm825kzcsJgVJTNOuKMjAzZyf3Od+TI8LlzsqNeVydL\nMmbNkh3H0aNlJ7qp6fI7aG+X/44b17OcDrria2u1ynrpDz6Av/wFsrJs1x5fSWCgHLmPje21TrLW\njlvFtTlyPBXWFdJkamTszcX4Bl/gqw9uJv/ocFKW/J2qugucPTCGKP9oogOiac2bzEcZpxk8rndq\nJrR0/DuSVQi4cAFMFhPZVdnsK95H7vlcrMLKhQs9u6/QYB/++ONZPJz6ID5GHxraGkiJGcYLP4gi\nJMCLqqrrz+sILy9Y8awHv7zrMVbNXsWzk5/lhRkv8Mrtv2DlM0HExl77Pvoyq5vRzH+8s5+XP/qM\n+tZ63HRufH32Gx799Xa+LStxqCnX0nHrKDWirGiTjw/MnCl/rldhIfzpT7LTfPPNshP51VeyLOPn\nP5c15V3NmiU77Fu2yJHtQYNgyRKYNEnej6en3Mzktdfk8nC+vnLViLY2uQNjT5eJs1plZ3bHDrlq\nRnw83HZb95VT7GE2y+e7f788OdDrYdcuOVK+YkX3Saa9raRETobMzpb/j7Nny9IjRXEyi5BzE3Q6\n8AmSJ7l6vaCgNYuQKZWYjj/E6X1heHi3UVMYypQ7vmJb8XFuGzUFvU6NO11NcTG89W4N1fGv0uZe\nBoBAENCcRnDBk/zwWW+7v2hLTITDh73ZvGkI9aNrMXgKTlWf4kTVSQyFc0nzuJfvf9fDZsevY3qL\nVVipbanFTe9GoGfgZdddj44FlML9wgn3C++83BXKcyrFcYxpf6XpwCLaAs7gE3Ge6gPTCAo+x5lB\naxG8jE6Nn3ajapQV5ZVXbO+gWFQE8+fLkWpHlZfD7t2yMx0aKke/7RlWuJQQ8N57sH27XAbPy0uO\nYJtMcnOank4KzMiAd96ROTo+FYSQJwzz5skOf185fVpOZNXrL26yc+6cLFd59llZ2qERA7ENu9Gf\nc4uphRVbV9BWlEzFyThS5mZSnB3F1yfO4jdxI+OHjqPw06UATL1/Lx7e7RTWF7Ju/jpVe3oNTe1N\nPP7mOkqPJTB14Wm8A1qoLQti//YIps0t4b8e+NceLZGXez6XH7zxv1grkhg/Pxt3r3bOHh5OXh58\n52Ezz9z0eLe/EUKu7Ok1LJuvG/+b6uZqrMLKyJCRJDQ9RohnKDNnXtyS22w1U9JQghCCSP9IjG5G\nTW/Lve7AOk5Wn8S7PYYjn43DYnYjPKGMhKmnKW4o4he3/IJhgTbm1dwgVI2yojiiuVku6RYV1f26\nIUPkyPL1dJTDw6+8aYm9zp6VI8mX1gJ7e8uyjrffhjVrerYr4LZtF5d669CxIseuXXI3wL7osFqt\nsH69HF0PlCM4eHrKCaxZWXD0qByRVxQn8TJ6kWh6hP8+fIYpt3+Nl58bwyedZG9xDU2H78bUOhQP\n7zb0blYKMmOImZSNu5s7HgYXGC50cUfKj+AZdZIxngFkfZ5KdHLnAMzRAAAgAElEQVQhBZkxTJmT\nTZ3ncc7WniUu2P4C3i/yvyAmpYg233CyPk/Ff3ADjTW+3LLoCEeqC2houw9/j8uX/tTpwD8um5+v\nyyZlZgDRw70RQnBwnzufndnFhl/cCgxh82Yobz/NCZ/XaWhrAMDb6M1Y0xMEtqZed5PuLK2WVgx6\nAx4+rej0ssMYGFbX+VGgdoe0TY2x20lLdThaygpOziuE/LFFp+t2nVOyHjp0sUTiUj4+ckOUvLwr\n/qnNvDU13XcPBNk5NplkeUhfKCuT62B3dJI76HQQEEDGhg1987jKgOTIe9VshsDGKfzquTg8/Voo\nqi+iqqmSxXf64GeOofjYcMbfcZjxd3xDU503B3cNYWb0LAz66x9z0lK77UjWkoYS3N3cCY+vICC0\njtz9CcSOyycoXHZEq5ure3R/ZY1l+Lr7Ep1cSHO9NxV5YYyefhJPbyt6nZ761vpueYUQ7Kl/n7Tb\nTlN8YCI1pUEUZw+jtWQ0sbO+Yn/1NgCiUnJZ//kByo+PJDpA1qTX543iTxuzCU851uPn3hN9eRyk\nhaVR29jM8R3JDI6pYsKiQ5w5NIKS3ECMeiMR/j3fX1tLx62j1Iiy4pra2uCLL2S5wYULsn72jjsu\n3/K7N/j4yPsuLZV1xpeqqpJ1wM7WsUX2lXRMELRXbKwsK+n6fJuaZCe2r2qUzeYrFwC6ucl1sBXF\niQwGWLZMB0xlXtJkGtsb8XDzYP9eNwrDv8Yw7j3Om/XoLXr8JxTgdvguPPLTIdnZyV3fYJ/BmCwm\nasuCqC0PImxEBQWZMQSEyhWCuo7+XkuUfxQHSw5RdTwZ3+BGAsNqyclIJCn9MALRWXd8qfq2eiqb\nKomKjMJvVg5Ht8iytan37UN4+HK4/DAPJT/EjpKNJM8tpWT3bRQYvTC4mzh3OoqJC75ke9kppo8c\nq8mdFFMHT+a3+6vBu5jkKVW46fXEz9rH/s8SePKBCXgaPK99JwOQGlG208zemDTWT7SUFWzkNZvl\nJLgPP5SfXGFhsn521So4cKD3AzzwgByZraq6uMRbaansRM+Zc/Ws/WHsWFki0lXHpii21mr+J5t5\nFy6UJx+XdkzNZrkz5KJFfbfU29ChckaLrQ5xXR0zr6fERVG6uN73ql6nx9/DHw+DB3GxBt7+fzfz\nwm0rmBo1lfFDx/Nv07/Pu7+YR1py73QutNRuO5J1fPh4mqvCyNwlN+IYdfO3xKTls/fTeHzM0SSE\nJPTo/mbF3ErB0TiqivxImZPFiElnGDK8gt2bhjM+eCZ+Hhf3JOjI2zHyLxDUVwV0Xt9U543ZasbD\nTZbQfFv9LaFBvqTOy6QgM6Zz578hIe6UNJTQZumjb93o2+OgrMCXZVPns3AhlF4ooai+CINfDS88\nE42x/KbOj5Se0NJx6yg1oqy4nmPH5IoIw4dfHIEcNEiOdL77rlxarTdraGNj4YUX4P/+T650odfL\nzUbuvBNCQnrvcRxhtcqThcpKWUsdFyc7xnq9XD1i7lzbq3JczZgxci3q99+Xo9E63cVl8nphC/Ur\ncneX9d7r18uTn45dFisq5Os8dWrfPbaiXIfISAA3AvwTSRySeNl1vmqzNbu01AYRXvwMusmvUe9Z\nRVODAdPgAqJSxhB8agUtzW49Wl6+5kwsYw13c/7mNZS2NkMrEFPAePf5mLPuxjqt+zm/r7svSUOS\n+HK3hfbSMKbet4/WRk+ydyXil1LCv6TP7Lxdu6Wd8/nR6A0WdEBFXhgRY3Mxuhl7pdTGGcaOhaQk\nf3S6Z2hsb6TV3EqgZyAGvQEx4fpX/LhRqVUv7JSRkaGZMyenZ62qkpPgcnNlB2jGDLmc2RXehd3y\nvv667CjbWkKtqAh++lN5f33BZJKt6xWmNffra2u1woYNcpUKg0FO6istlScJ48bJTuftt1+1LOOq\neTvqmy0WebLg37OvPh0ihDw2PvoI6v9ZQ5iWBkuWkJGTo5n3GGivDesNWnrOTm8He0hLeR3JajbL\nBW68guo4Un6E6uZqIv0jSQtL43ylFxERPeuotbbKRXQCws+xvWgjx6uOE+IdwoIRCwhqT0GPkeHD\nu+f9eFs1//XRLqJv2cXQQb5YrBYKCq00HJnPmhXTSRrlxaenPuUPH3+DtWgyafOz0LtZyNyainXw\ncR5aFMlDyQ/16Ln3xLVeW6tVfkwZjBbO1J6hxdRCuF84Q3yG0Np6cXm6/qKl41ateqG4hlOn4NVX\nZefLz0927vbsgbvvliO09rSEVuvVv/7vyw9qV1qe7Phx2UnuWO0iOlrWbpeXy1HlRYuubwjAy0sO\nMfQnnQ6mT5frJtfXy1Fmre5SqCiK3QwGuQgQBHLr8Fsvu06O2PeMpycUlbbwxoYDBEw6QKCfOxWN\nFbya8SeaDi3muXtmMHz45auRCAGDfQbxl1/eysHzVr4p/QZPoydP3XoLw2ZPx9wqJzn7n78NfYkH\nAVP/QZPeiA4dQVM2UrPvDoIrZveoJr25WT5uu76W7Kps2ixtxATGEBsYR02NrttUkWvJyYFNO6uo\ninuVBksVOp0Oq7Ay3DIX74LFrHjW2GcfY0LILwCDB7eRVZFFeWM5hRWFjG8bT0u9HyEh2l0672rU\niLLSe8xm+NGPZKfu0tFJs1muNv+rX121nrbT/v3wxz/SORzQoa1Nrh+8Zk3/nzY7w2uvyROPwYMv\nv1wIObK+erVcm1lxioHYhg3E56y4rg+P/5UN/yjG2DCalDlZWC16MremIMKP8Ox941gQv8Ch+83N\nhYDgds42H2FvyV6swsrkiMmMDpjAuXIvRo+2/74OHoT3Pz9JTcJa3NxbQQdWq8CzeAEpHnfxvac8\nejTecb65hod/+z7ttYOZcnseBncz54qCOLAzjAcetLBy3tKeP2E7NTbCy2vryA9+C2P4Sdz0bpit\nZkw1YYQVrOCH3w1j6NA+e/jrpkaUFefLy5OjhF07wwaDHKk9eNC+jnJamuwkFxbKCWAGg5x8du4c\nPProwOgkAzQ02F4fWaeTJyMtLf2fSVEUxQVYrBYyCnYx7uYQSjJrOPjxRBA6opKKGTSqge1ntjvc\nUZaVfe4MCZnClKgpl103qPtiGlcVGJvLCfExbnvnM25eNkZPE2ePxHA8t420ZX9Fp1veo/vbV7KX\n0NSjtJ+6laxtyUSOLiXvUBw3357FybaT1LTMI9gruGch7eTlbaEmfi3528aSPNWP0LhK6qv8ObIv\nAcuEdfgErwQCrnk/WqNWvbCTltYKdFrW1tYrlwIYjbLjZ0O3vB4ecmR6zhzZOS4ulpf94Ady62gn\n6tfXNjHxYh3vpdrb5fdbdowmq+NWGai0djxpKa8rZDVZTbRb2nF3MxI5uhRTqzumNiPh8eV4Gjw7\nNwoB5+bdWbCD2LRCQofVkbUthdP7EqgpGcSMRfl8U72bxvbGy25/ray553Px8/BlxKQ8zG1GTu4Z\nzejpJwkc0oQOHVVNVX32XE6fP02zewHTbj/DmcOxnN4Xz+73LKTMPItXaCmHyw/32WM7kxpRVnpP\nRISsL7ZVY9zSAiNH2n9fvr7w4INywprJJEeRB9qU3OnT5S5658/L7Z51OvlaFBfLFSpsbRqiKIri\nJBcuyKkppQ2lFNUX4WHwYNSgUegt3uj1PdtA9Fo83DwI9wvnXE0b+V9OJnb8WUxtBrK2pRBx804S\nhvRsubm+UtpQir+HH2Fp+RQeG0ZTrS8T7zqIl7eAeqhvrcfX3f55GoO8B3Hi3AlEdQhmkxv+gxvI\nPzocv0ENWIUVH2PfbaVe31aPDh0+QU0MTy3g1N6R+A86RXBEE60XjJxrOtdnj+1MqkZZ6V1vvy0n\n70VHy1FPIeTSZr6+8Otfq85dTxUUwJ/+JCfwdZRczJ8vJ0beiLMmNGQgtmED8Tkr9rFaYd0fTBR5\nb6Q65FN0yIENvcWbsLM/YtGM4Uye3LuPuevbw/z4P3MYmdTEiNRKhICTByIoKjDw+k+nMm5YL29Q\n5YA/fvNHMsuzaDk9lfMlIQQMaaC+yp/E2w5z3lLE2nlre9RRzq/N598+eIOGrJmkpJ/Ab9AF8g6O\noLREx00Lz/KbOS/02WYouedzeXHPiwS1J5P9RRLRY4sozokibvxZWkIO8Hja40wfNr1PHrs3qBpl\nxTU8/LAcNsjIkB07q1XufPf446qT7IiYGPjNb+SycK2tctq4T9+NGCiKojhCrwf31H+we4OFseNu\nIiqxFHO7gW+2jqLI52OeTLgHsGOOSg9UZo5j2Rw9Od5vUlQvdygdPLaam6O/T+mxUYzr3YdzyOyY\n2/jfT2rQ1/gwaUEmRk8z+Udi2P1JDI8uj+tRJxnAWhNDUOEjGCa/SYNHI63N7hgSCghsn0rQ6R9g\nvlXXZ6texAXH4d+WyL6tw5h027cER9QQPLSWA5vjGZqawLgF4/rmgZ2sz0aUt27dyooVK7BYLDzx\nxBM8//zzlz+wxkYmtLRWoEtkbWiQ9cU+PrKW9ipnuC6R105aygrayqulrKCtNuxa7THAs88+y5Yt\nW/D29mbDhg2kpaV1u42WnrPWjidXyCuEoMXcglFvxOh25d6WrayN7Y2s2LqCQGLI3jaesBEV1JSG\n4BdyAe/RXzIteiqPpj3aq3lNJjn9pc3cRmF9ITp0xATGYNAbMZsvrvbpjNd261YQfiVsyt7Ol/sa\naUt6C38/A4OabsZSHUtC+FCSDHfx/e9evurFtbI2NsqPV4tPMQdKDlDXWkd8SDzjwydQXuTDiBF9\nV6XY2Aj/ubaJqug3afE7DkB5djlRceMZnPdvfO/REIeW+usvLjWibLFYeOaZZ9ixYwcRERFMnDiR\nRYsWMbona6oo2ubv3z8bWCiKclX2tMebN28mLy+P3NxcDhw4wNNPP83+/fudmFrpL0LA//4vDBmT\nw65z/0NhfSFuOjemRU0jvPY+woP9sXHO1E1tSy0Avv5mkm7N5ptNEwFIW3CEJpM/BfUFvZ69oyPs\nYfDotgW2s5fEHzKihKdf3EdUciV3PWDG7DafzOxWCg8m8+Jzo7ln4jRqanQ97tT6+nYsPR9FVEDU\nZdf11T5clz72c8/44Ov3r+TW5HKu6RynrKdYducyWhrdb9iP/D5Z9eLgwYOMGDGCmJgYjEYjS5Ys\nYePGjX3xUP3G2Wf6PaGlrKCtvFrKCtrKq6WsWmJPe7xp0yaWL5fLVE2ePJm6ujoqKyudEbfXaO14\nclZenQ4swTn86D+zKK80MyxgGOF+4Xz0eRWvfvQFQyIvdPsbW1n9PPywWC20t+k5vW8kIVHVePq2\nUnoykqb2JkJ9nLfmuzNe2701HzNq9kEaTo+jriKY5opoxOmFTLk9jwLLPvR625uNuPpxGxAAbno3\nRg0axfRh03ninidwd3MnIODGnW/fJx3l0tJSoqIunulERkZSWlraFw+lKIqiXIU97bGt25SUlPRb\nRsV5LFYLhyzvkDilnILdM2iu96EsJxZreQphN33O8fqv7bqfQM9AUgdNYfcn0fiFXCDp1mxS52VS\nmBNGYXZ4t934bmRCCI6UHyF6qCcpc7I48eUYsr9IIjn9GMMi3cmpysFsNTs7pmKnPuko99WMS2dy\nhXUj7aWlrKCtvFrKCtrKq6WsWmJve9y1dk/r7bjWjidn5a1sqqSutY7hoy4QN/4shz6exNnDsaTO\nzSI0xIsDpQe6/Y2trFYruGUvY1ikEcPI7ZRdKKXSfIrB0zYTeeFeWop7sDxoL3PGa2vUG7EKKy0X\nLk5ib2nwxiqs6HX6zlVBulLHrevpkxrliIgIiouLO38vLi4m0kaF9yOPPEJMTAwAgYGBpKamdn7t\n0PHiu8rvmZmZLpVH/e6c3zu4Sp4bKW9mZqZL5bGVr66uDoCCggK0wp72uOttSkpKiIiIsHl/Wmq3\n1e/X/r2mpQaBQAhBQVY+dRVtBIalYja5UZRTRIBHANzCZX/f4dL70+shNOQAj8aHMSTp3zhdfZq8\no3kkhCRw68pE3NwGVjs4fdh03nxnC835gcxc/g16vWDXn8FrWBGPPHoLbno3TbaDWsr7u9/9jszM\nzM72ylF9suqF2Wxm5MiR7Ny5k6FDhzJp0iQ+/PDDyyaPaGn2tKIoSldaacPsaY83b97MunXr2Lx5\nM/v372fFihU2J/Np5Tkr9rMKKz/b+TPyMsNoLIondW4WdRWBnDkcS9CkT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"text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
\n", "
" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Z-score Standardization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result of **standardization** (or **Z-score normalization**) is that the features will be rescaled so that they'll have the properties of a standard normal distribution with \n", "\n", "$\\mu = 0$ and $\\sigma = 1$\n", "\n", "where $\\mu$ is the mean (average) and $\\sigma$ is the standard deviation from the mean; standard scores (also called ***z*** scores) of the samples are calculated as follows:\n", "\n", "\\begin{equation} z = \\frac{x - \\mu}{\\sigma}\\end{equation} " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Z-score scaling - Bottom-up via NumPy" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def numpy_zscore(X):\n", " return (X - X.mean(axis=0)) / X.std(axis=0)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Z-score scaling - via scikit-learn" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def sci_zscore(X):\n", " std_scale = preprocessing.StandardScaler(copy=True)\n", " return std_scale.fit_transform(X)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Z-score scaling - visualization" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import pyplot as plt\n", "\n", "sci_z = sci_zscore(X)\n", "numpy_z = numpy_zscore(X)\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(12, 5))\n", "\n", "ax1.scatter(X[:,0], X[:,1],\n", " color='r',\n", " alpha=0.5,\n", " marker='o',\n", " s=50\n", " )\n", "\n", "ax2.scatter(numpy_z[:,0], numpy_z[:,1],\n", " color='g',\n", " label='NumPy bottom-up',\n", " alpha=0.5,\n", " marker='o',\n", " s=50\n", " )\n", "\n", "ax2.scatter(sci_z[:,0], sci_z[:,1],\n", " color='b',\n", " label='scikit-learn',\n", " alpha=0.5,\n", " marker='x',\n", " s=50\n", " )\n", "\n", "\n", "ax1.set_title('before Z-score standardization')\n", "ax2.set_title('Z-score standardization ($\\mu=0$, $\\sigma=1$)')\n", "ax1.grid()\n", "ax2.grid()\n", "ax2.legend()\n", "\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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mKSmJYcOGMWjQIAoKCsjLy2PgwIE8/PDD3Llzh08++YThw4dz+fJlxo4dy/Dh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\nUeDjj+G776SCg04nHdy+/BIefRT8OyRBhIZKMl19vXR+67iP+nqYPbt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TkFUUD33nui4MzDQzwMpaeL9RYubCuWa2kRDxsPPSQekKwRrVZc5yNHxHJcnMgxN7f2tpVgNfcw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\nFeFM0uRSkFQU7Yyn5nwb77w4lsnR42wd0WL0enh7hZ76sA9p9znQc72mI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\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Bechmarking via `timeit`" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import timeit\n", "\n", "funcs = (numpy_minmax, sci_minmax, sci_zscore, numpy_zscore)\n", "\n", "timings = {f.__name__:[] for f in funcs}\n", "\n", "orders = [10**i for i in range(1, 5)]\n", "\n", "for n in orders:\n", "\n", " print('n=%s (%s of %s)' %(n, orders.index(n)+1, len(orders)))\n", " X = np.random.rand(n,n)\n", " X.dtype = np.float64\n", " X *= 100 \n", " \n", " for f in timings.keys():\n", "\n", " timings[f].append(min(timeit.Timer('%s(X)' %f, \n", " 'from __main__ import %s, X' %f).repeat(repeat=5, number=1)))\n", "\n", "print('finished')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "n=10 (1 of 4)\n", "n=100 (2 of 4)\n", "n=1000 (3 of 4)\n", "n=10000 (4 of 4)" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n", "finished" ] }, { "output_type": "stream", "stream": "stdout", "text": [ "\n" ] } ], "prompt_number": 11 }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "code", "collapsed": false, "input": [ "size = np.asarray(orders)**2" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "from matplotlib import pyplot as plt\n", "\n", "\n", " \n", "def plot():\n", " \n", " def settings():\n", " plt.xlim([min(size) / 10, max(size)* 10])\n", " plt.grid()\n", " plt.xticks(fontsize=16)\n", " plt.yticks(fontsize=16)\n", " plt.xscale('log')\n", " plt.yscale('log')\n", " plt.legend(loc='upper left', fontsize=14)\n", " plt.xlabel('number of matrix elements (log-scale)', fontsize=16)\n", " plt.ylabel('time in seconds (log-scale)', fontsize=16)\n", " \n", " fig = plt.figure(figsize=(14,6))\n", " \n", " plt.subplot(1,2,1)\n", " plt.plot(size, timings['numpy_minmax'], label='NumPy')\n", " plt.plot(size, timings['sci_minmax'], label='scikit-learn')\n", " plt.title('Min-Max scaling (min=0, max=1)', fontsize=22)\n", " settings()\n", " \n", " plt.subplot(1,2,2)\n", " plt.plot(size, timings['numpy_zscore'], label='NumPy')\n", " plt.plot(size, timings['sci_zscore'], label='scikit-learn')\n", " plt.title('Z-score scaling ($\\mu=0$, $\\sigma=1$)', fontsize=22)\n", " settings()\n", " \n", " plt.tight_layout()\n", " plt.show()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Results" ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Ii4tDxYoVZW5gZ2RkYN++fahfvz5sbGwQGxurtGO2JUuWICkpSe2frVu3yi2r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\no0bIysrC+fPnsWnTJmzcuBHlypUrciyTJ0/G5s2b0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"text": [ "" ] } ], "prompt_number": 21 }, { "cell_type": "code", "collapsed": false, "input": [ "%watermark -d -v -m -p numpy,scikit-learn" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "14/07/2014 \n", "\n", "CPython 3.4.1\n", "IPython 2.0.0\n", "\n", "numpy 1.8.1\n", "scikit-learn 0.15.0b1\n", "\n", "compiler : GCC 4.2.1 (Apple Inc. build 5577)\n", "system : Darwin\n", "release : 13.2.0\n", "machine : x86_64\n", "processor : i386\n", "CPU cores : 4\n", "interpreter: 64bit\n" ] } ], "prompt_number": 24 }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot indicates that there is no real difference between the \"manual\" approach via NumPy or using the `preprocessing` module from scikit. That's good news and also what we would expect!" ] }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }