Skip to content

Instantly share code, notes, and snippets.

@jaredly
Created January 30, 2014 06:14
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save jaredly/8703500 to your computer and use it in GitHub Desktop.
Save jaredly/8703500 to your computer and use it in GitHub Desktop.
Submission Perceptron Notebook
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "Perceptron"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": "import numpy as np\nfrom pandas import DataFrame, Series\nfrom scipy.io.arff import loadarff\nimport scipy",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "data, meta = loadarff('ex_1.arff')",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": "df = DataFrame(data)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": "df[df.major == 'cs']",
"language": "python",
"metadata": {},
"outputs": [
{
"html": "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>friends</th>\n <th>age</th>\n <th>major</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td> 8</td>\n <td> 20</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>1</th>\n <td> 2</td>\n <td> 21</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>2</th>\n <td> 0</td>\n <td> 25</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>3</th>\n <td> 1</td>\n <td> 23</td>\n <td> cs</td>\n </tr>\n </tbody>\n</table>\n</div>",
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": " friends age major\n0 8 20 cs\n1 2 21 cs\n2 0 25 cs\n3 1 23 cs"
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": "dc = df.copy()",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 50
},
{
"cell_type": "code",
"collapsed": false,
"input": "dc.major = True",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": "dc",
"language": "python",
"metadata": {},
"outputs": [
{
"html": "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>friends</th>\n <th>age</th>\n <th>major</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td> 8</td>\n <td> 20</td>\n <td> True</td>\n </tr>\n <tr>\n <th>1</th>\n <td> 2</td>\n <td> 21</td>\n <td> True</td>\n </tr>\n <tr>\n <th>2</th>\n <td> 0</td>\n <td> 25</td>\n <td> True</td>\n </tr>\n <tr>\n <th>3</th>\n <td> 1</td>\n <td> 23</td>\n <td> True</td>\n </tr>\n <tr>\n <th>4</th>\n <td> 8</td>\n <td> 25</td>\n <td> True</td>\n </tr>\n <tr>\n <th>5</th>\n <td> 20</td>\n <td> 20</td>\n <td> True</td>\n </tr>\n <tr>\n <th>6</th>\n <td> 10</td>\n <td> 23</td>\n <td> True</td>\n </tr>\n <tr>\n <th>7</th>\n <td> 7</td>\n <td> 25</td>\n <td> True</td>\n </tr>\n </tbody>\n</table>\n</div>",
"metadata": {},
"output_type": "pyout",
"prompt_number": 52,
"text": " friends age major\n0 8 20 True\n1 2 21 True\n2 0 25 True\n3 1 23 True\n4 8 25 True\n5 20 20 True\n6 10 23 True\n7 7 25 True"
}
],
"prompt_number": 52
},
{
"cell_type": "code",
"collapsed": false,
"input": "dc.friends /= 2",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 61
},
{
"cell_type": "code",
"collapsed": false,
"input": "dc.major = df.major == 'cs'",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 64
},
{
"cell_type": "code",
"collapsed": false,
"input": "dc.age[df.major == 'cs'] = 2",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 68
},
{
"cell_type": "code",
"collapsed": false,
"input": "df.major.unique()",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 72,
"text": "array(['cs', 'law'], dtype=object)"
}
],
"prompt_number": 72
},
{
"cell_type": "code",
"collapsed": false,
"input": "m = dc.major.copy().astype(int)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 77
},
{
"cell_type": "code",
"collapsed": false,
"input": "dm = df.copy()\ndm.major = numpy.arange(len(dm.major))",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 86
},
{
"cell_type": "code",
"collapsed": false,
"input": "df[(df.major == 'cs') + (df.friends >= 10)]",
"language": "python",
"metadata": {},
"outputs": [
{
"html": "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>friends</th>\n <th>age</th>\n <th>major</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td> 8</td>\n <td> 20</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>1</th>\n <td> 2</td>\n <td> 21</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>2</th>\n <td> 0</td>\n <td> 25</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>3</th>\n <td> 1</td>\n <td> 23</td>\n <td> cs</td>\n </tr>\n <tr>\n <th>5</th>\n <td> 20</td>\n <td> 20</td>\n <td> law</td>\n </tr>\n <tr>\n <th>6</th>\n <td> 10</td>\n <td> 23</td>\n <td> law</td>\n </tr>\n </tbody>\n</table>\n</div>",
"metadata": {},
"output_type": "pyout",
"prompt_number": 99,
"text": " friends age major\n0 8 20 cs\n1 2 21 cs\n2 0 25 cs\n3 1 23 cs\n5 20 20 law\n6 10 23 law"
}
],
"prompt_number": 99
},
{
"cell_type": "code",
"collapsed": false,
"input": "nums = df[df.columns[:-1]]",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 108
},
{
"cell_type": "code",
"collapsed": false,
"input": "nums['man'] = Series(np.zeros(len(nums)), index=nums.index)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 127
},
{
"cell_type": "code",
"collapsed": false,
"input": "list(nums.columns)",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 147,
"text": "['friends', 'age', 'man']"
}
],
"prompt_number": 147
},
{
"cell_type": "code",
"collapsed": false,
"input": "data, meta = loadarff('iris.arff')\ndf = DataFrame(data)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": "from itertools import cycle\nfrom IPython.display import display\n\ndef plot_weights(weights, labels):\n styles = cycle(('-', '--', '-.'))\n n = len(weights[0])\n ncolors = 7\n i = -1\n for i in range(0, n/ncolors):\n plot(weights[:,i*ncolors:(i+1)*ncolors], ls=styles.next())\n plot(weights[:,(i+1)*ncolors:], ls=styles.next())\n legend(list(labels) + ['Bias'], loc='upper left', bbox_to_anchor=(1.01,1))\n\ndef test(fname):\n m = p.fromArff(fname, .1)\n a = m.trainUp()\n print 'Done Training'\n # Plot the accuracies over epochs\n ps = m.perceptrons.items()\n for i in range(len(a[0][1])):\n figure()\n plot_weights(array([x[1][i] for x in a]), m.data.columns[:-1])\n title(ps[i][0][0] + ' vs ' + ps[i][0][1])\n xlabel('Epoch')\n ylabel('Weight')\n\n if len(a[0][0]) > 1:\n figure()\n plot(array([x[0] for x in a]))\n legend(list(l[0] + ' vs ' + l[1] for l, p in ps), loc='upper left', bbox_to_anchor=(1.01,1))\n ylim(-0.1, 1.1)\n title('Individual Perceptron Accuracy')\n xlabel('Epoch')\n ylabel('% Accuracy')\n\n figure()\n plot(array([array(x[0]).mean() for x in a]))\n title('Mean Accuracy')\n xlabel('Epoch')\n ylabel('% Accuracy')\n return m, a\n\ndef show_resuls(m, data, a):\n # Plot the accuracies over epochs\n ps = m.perceptrons.items()\n print 'Weights vs Epochs for each perceptron:'\n for i in range(len(a[0][1])):\n f = figure()\n plot_weights(array([x[1][i] for x in a]), data.columns[:-1])\n title(ps[i][0][0] + ' vs ' + ps[i][0][1])\n xlabel('Epoch')\n ylabel('Weight')\n display(f)\n\n print 'Accuracies:'\n if len(a[0][0]) > 1:\n f = figure()\n plot(1 - array([x[0] for x in a]))\n legend(list(l[0] + ' vs ' + l[1] for l, p in ps), loc='upper left', bbox_to_anchor=(1.01,1))\n ylim(-0.1, 1.1)\n title('Individual Perceptron Misclassifications')\n xlabel('Epoch')\n ylabel('% Missed')\n display(f)\n f = figure()\n plot(1 - array([array(x[0]).mean() for x in a]))\n title('Misclassifications')\n xlabel('Epoch')\n ylabel('% Missed')\n display(f)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": "import perceive as p\nfrom pylab import *\n#a = m.train(d, split=.7)\n#a\n\ndef htmltitle(*args, **kwds):\n level = str(kwds.get('level', 2))\n message = ' '.join(map(str, args))\n display(HTML('<h' + level + '>' + message + '</h' + level + '>'))\n\ndef try_rates(meta, data, rates):\n allz = []\n for rate in rates:\n htmltitle('Learning Rate', rate)\n m = p.Main(meta, rate)\n results = m.train(data.copy(), split=None)\n print 'Best accuracy', m.best\n print 'Number of epochs:', len(results)\n show_resuls(m, data, results)\n allz.append(results)\n compare = DataFrame({\n \"Rate\": Series(rates),\n \"Epochs\": Series(tuple(len(results) for results in allz))\n }, columns=['Rate', 'Epochs'])\n htmltitle('Number of Epochs vs Learning Rate')\n display(compare)\n return allz\n \ndef trials(meta, data, num, split=.7, graphs=True):\n allz = []\n print 'Running', num, 'trials'\n accuracies = []\n epochss = []\n trains = []\n for i in range(num):\n htmltitle('Trial', i+1)\n m = p.Main(meta, .1)\n results, accuracy = m.train(data.copy(), split=split)\n print 'Best accuracy', m.best\n print 'Number of epochs', len(results)\n epochss.append(len(results))\n trains.append(m.best)\n htmltitle('Percent missed (of the test set):', accuracy[0], '; ', accuracy[1], ' instances', level=4)\n accuracies.append(accuracy[0])\n if graphs:\n show_resuls(m, data, results)\n allz.append(results)\n htmltitle('Final Results')\n print 'Mean accuracy over', num, 'runs:', 1 - sum(accuracies)/float(num)\n print 'Mean training accuracy', 1 - sum(trains) / float(num)\n print 'Mean epochs', sum(epochss) / float(num)\n return allz\n\ndef runthis(fname, split=.7, graphs=True):\n data, meta = loadarff(fname)\n print 'Running perceptron classification on', fname, 'with a testing split of', split\n \n #figsize(12, 6)\n rcParams['figure.figsize'] = (6, 3)\n return trials(meta, DataFrame(data), 5, split, graphs=graphs)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": "data, meta = loadarff('./ex_1.arff')\ntry_rates(meta, DataFrame(data), [1000, 100, 10, 1, .01, .001]);",
"language": "python",
"metadata": {},
"outputs": [
{
"html": "<h2>Learning Rate 1000</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2a72ec2c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\nBest accuracy 1.0\nNumber of epochs: 5\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAocAAAE0CAYAAABeopmkAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2abab1ac>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhMAAAEzCAYAAACL54GPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nlQkRERFxi8qEiIiIuEVlQkRERNzy/wDeyYN95i61nwAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2ad0596c>"
},
{
"html": "<h2>Learning Rate 100</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2adfc52c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\nBest accuracy 1.0\nNumber of epochs: 3\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoAAAAE0CAYAAAC8foLdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ng6EAAgAAOJj/D/10VZXK8g4VAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2ad2f42c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhMAAAEzCAYAAACL54GPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzt3XlYVPX+B/D3OahskugwohUukGuZO3T5CSKKiN00tYXM\ntbo3E1Moyxa9kkqWGwqSUpl7lrtmiYqioGhm5J6luKSiMIySKC7A+f7+OEURKIMMc2bg/XqenqcZ\nDmfeNI2++ZzvOUcSQggQERER3SdZ6wBERERk21gmiIiIqEJYJoiIiKhCWCaIiIioQlgmiIiIqEJY\nJoiIiKhCWCaIiIioQlgmiIiIqEJYJoiIiKhCWCaIrFRAQABkWcbChQuLPX/jxg24uLhAlmX89ttv\nGqX7ixACnp6ecHV1xa1bt7SOQ0QaYJkgslKSJOHhhx/G0qVLiz2/du1a1K1bF5IkaZSsuJSUFFy9\nehXu7u5Yv369ZjkURUFhYaFmr09UnbFMEFmx/v3744cffsD58+eLnluyZAkGDRqEf95WJzExEZ06\ndYKTkxNatGiBTz75pOhrd+7cwZAhQ9CoUSPUrl0bnTp1QlJSUrHvl2UZixcvRo8ePeDs7IxOnTrh\nyJEjZWZcvHgxXnjhBQwbNgyLFy8u8fVt27bBx8cHjo6OaNCgAcLCwoq+lpWVhUGDBkGn08HFxQVd\nunTB6dOnAaiTmQkTJhTbV5MmTbBgwQIAwNmzZyHLMlavXo3OnTvD0dERR48eRWpqKrp164a6deui\nfv36GDhwIIxGo0mZevXqhXHjxhXbdvv27XBxcUFeXl6Z/y2IqiuWCSIr5uLigj59+mDZsmUAgIsX\nL2Lfvn149tlni233yy+/YMCAAQgLC8Px48cxa9YsfPDBB1i5ciUAoKCgAC1atMCmTZtw+PBh9OnT\nB3379oXBYCi2n0mTJmHMmDE4ePAgHnzwQQwfPvye+fLy8rB69WoMHz4cgwcPxo4dO3Dp0qWirx8/\nfhxPPvkkevbsiYMHD2LLli149NFHi77ev39/nDlzBps2bcKhQ4cQFhaGgoICAOpk5p/Tl9Kemzhx\nIqZOnYqff/4ZTZs2xY0bNxAWFoYff/wRmzdvxvnz5zFy5EiTMg0fPhxffvllsaK2dOlSDBgwAE5O\nTvf8b0FUrQkiskoBAQFiwoQJIiEhQbRq1UoIIcRHH30kBg4cKE6dOiUkSRLnzp0TQggxfPhwMXbs\n2GLfHxUVJXr06HHX/bds2VIsWbKk6LEkSWL69OlFj/fu3SskSRI3bty46z6WLVsmHn300aLHPXv2\nFNOmTSt6PGTIEPHUU0+V+r07duwQ9vb2IiMjo9Sv//nz/12TJk3EggULhBBCnDlzRkiSVOxnKM3e\nvXtFrVq1hKIoZWa6efOmqFu3rti2bZsQQogbN24IFxcXsX379nu+BlF1x8kEkZULCgpCTk4ODhw4\ngGXLlmHIkCElDnEcOXIEc+fOhYuLS9E/kydPxpkzZ4q2mTFjBh5//PGiQwonT57EhQsXiu2nTZs2\nRf/u7u4OQD0UcTdLlizBsGHDih4PHToUS5YsKXp87NgxBAQElPq9R48eRbNmzdCwYcMy/xvcS/v2\n7Ys9vnDhAgYPHgwvLy888MAD6NGjBwoKCnD58uUyMzk4OOD5558vWqeybt061K1bF4GBgRXKSFTV\n1dA6ABHdmyzLGDhwIN544w0YjUb07NkT6enpxba5ceMG3nzzTbz00kvFnq9RQ/2IL1u2DJMnT8bc\nuXPRrl07ODk5oV+/fsjPzy+2fc2aNYv+/c/DCYqilJrr4sWLSExMxPbt2/Huu+8WPa8oCtLS0tCh\nQwcAKFF8yvNz//N7/5kXQInDD8OGDUNBQQE+//xzPPTQQzh9+jR69+5d7HvvlWnYsGHo0aMH5s2b\nV7Q+hYjujZMJIhswZMgQ7N69GwMHDiz1LI62bdvixIkT8PT0LPZPo0aNAAD79u1DYGAgBg8ejDZt\n2sDd3b3Cp5UuW7YM3t7eOHz4MA4dOoRDhw7h4MGD6Nu3b9FCzMceeww7d+4s9fvbtGmDkydPFltj\n8Xd6vb7Y1wwGQ9F04V6+//57vPHGG+jWrRuaN29eYl3IvTIBgI+PDzw8PDB37lzs2LEDQ4YMKfM1\niao7lgkiKyWEKPoN+vHHH4fRaMSHH35Y6rZvvfUWNm3ahAkTJuD48eM4duwYFi1ahHnz5gEAHnnk\nEaSmpmL37t04duwYhg0bdteJg6kWL16MZ599Fq1bty7659FHH8XAgQOxYsUKFBQUYNy4cdi6dSvG\njx+PEydO4ODBg4iLiwOgnq3RqVMnDBgwAKmpqUhPT8fy5cvx66+/AgD8/f2xdu1aJCUl4ciRI3jl\nlVdgb29fZi4vLy8sWbIEp06dQkJCQon/ZvfK9Kdhw4Zh/Pjx6NChA1q0aFGh/05E1QHLBJGV+ueZ\nC3Xr1kWtWrWKff1PHTp0wLZt27Br1y506tQJfn5+WLx4MZo2bQoAGDFiBLp3747evXsjODgY/v7+\naNu2rUkZSvPDDz/gl19+wdNPP13ia7169UJubi6+++47tGrVCt988w0SEhLQrl079OrVq6gsAOqa\nhCZNmqB3795o164d4uPjiw61vPLKK+jfvz/69++Pp556CgMHDkT9+vXLzPf555/j1KlTaNOmDSZO\nnIioqKhi25WVCQAGDRqEwsJCTiWITCSJ+z2gSURURaWlpcHX1xcZGRmoV6+e1nGIrB7LBBHRHwoK\nCpCVlYXXXnsNderUKXZmChHdnUXP5oiPj8cPP/yArKwszJ07t2hx2D9t3boVa9asgRACbdu2xYgR\nI2BnZ2fJqERUDe3evRvdu3dH27Zti9abEFHZLLpmws/PDx9//HGJ455/d/nyZSxfvhzTpk3Dp59+\niqtXr2Lbtm0WTElE1VVAQAAKCwuRlpaGBx98UOs4RDbDomWidevW0Ol099wmNTUVvr6+qFOnDgB1\nMVdycrIl4hEREdF9sLqzOQwGA/R6fdHj+vXrlzhPnIiIiKyHzV8BMz4+Hrdv3y7xvE6nK3MKQtbH\naDTyfatC+H5WPXxPbZPRaCx299z8fOD2bUCns8err75a4f1bXZnQ6/XF7gWQlZVVbFLxT7dv3y52\nS2OybVFRUQgNDdU6BpkJ38+qh++pbTIYgK1bJWzdChiNEjp1EggOFkhLiyv7m02gWZm42xmpvr6+\nGDduHEJDQ1GnTh1s3rwZ/v7+Fk5HRERkuxQFOHAASEiQ8P33EurVE+jZE5g2TcDd/a+/f9PSzPN6\nFi0T8+bNw/79+5GTk4MJEybA0dER8fHxiI2NhY+PD7y9vdGgQQO8+OKLePvtt4tODQ0KCrJkTCIi\nIptjNKrThy1bAINBQseOAr16Cbz3nkCNSv7b3qJl4rXXXsNrr71W4vnXX3+92OOePXuiZ8+elopF\nRERkcxRFnSxs3qxOH1xdBYKCgI8+EmjQwLLXo7S6NRNERERUuitXgG3b1OnD5cvq9CE4WODddyt/\n+nAvNl8muKq4avHz89M6ApkR38+qh++pZSkKcPCgOn3Yt0+Ci4s6fZgyReDBBys+fTDX36EsE2RV\nuNi2auH7WfXwPa18V68CiYkSEhKAS5cktG+vTh/eflvgj5vqmo2bm5tZ9mPzZYKIiMiWCaFOHxIS\nJKSmSqhdW50+TJok8NBDtnEvTpYJIiIiC8vJARITgS1bJFy4IKFdO/XMizffFKhVS+t05ccyQURE\nVMmEAA4fVqcPe/ZIcHIS6NED+N//BDw8bGP6cC8sE0RERJXg99+B7dvVAnHhgoQ2bQRCQgQiImxz\n+nAvLBNERERmIARw9KhaHnbvluDgAHTvLjB+vECjRrY/fbgXlgkiIqL7lJv71/Th3DkJjz2mTh9G\njxawt9c6neWwTBAREZlICOD4cfW6DykpEuztgcBAgXfeEWjSpGpPH+6FZYKIiOgerl8HduxQpw9n\nzkho3VqdPowaJeDgoHU668AyQURE9DdCACdOqNOH5GQJNWqo04exYwU8Pavv9OFeWCaIiKjau3ED\nSEpSpw/p6RJatVKv+zByJKcPpmCZICKiakcI4Jdf1PKwa5cEOzugWzf1tE0vL04fyotlgoiIqoW8\nPGDnTvXwxcmTElq2VKcPr74q4OiodTrbxjJBRERVkhDAyZPq9GHnTgmAOn0YPVqgWTNOH8yJZYKI\niKqMvDxg1y61QPz6q4RmzdTpwyuvCDg5aZ2u6mKZICIim3bqlFoekpIkKAoQEKAunGzeXECStE5X\nPVi0TGRkZCA6Ohq5ublwdnZGeHg4PDw8im2jKAoWLVqEtLQ0FBYWolWrVhg5ciRq1GDvISIi4OZN\nIDlZLRAnTkjw8lKv+zB8uICzs9bpqieL/g0dFxeHkJAQBAYGYs+ePYiJicH06dOLbbNt2zacPXsW\nc+bMgZ2dHWJiYrBx40b079/fklGJiMiKnD6tlocdOyQUFgL+/gL//a9Ay5acPlgD2VIvlJOTg/T0\ndAQEBAAAfH19kZmZCYPBUGy7s2fPol27drCzswMAdOzYEUlJSZaKSUREVuDWLWDbNuDNNyX06iVj\nxgwJHh4CixYpWLdOQUSEQKtWYJGwEhabTGRnZ0On00GW1f4iSRL0ej0MBgP0en3Rds2aNUNCQgJC\nQkJQo0YNpKSkICsr6677NRqNiIqKKvG8n58f/P39zf+DEBFRpThz5q/pQ34+4Ocn8NJLAq1bc/pQ\nUcnJyUhJSSnxvJeXl1n2b3ULEQIDA2EwGPDOO+/AwcEB7dq1w+HDh++6vU6nQ2hoqAUTEhGROdy+\nDezerV734dgxCU2aqGdefPGFgIuL1umqFn9//1J/wU5MTDTL/i1WJtzc3GA0GqEoCmRZhhCixFTi\nT88//zyef/55AGqbaty4saViEhFRJTp3Tp0+bN8u4fZtoEsXgWHDBB59lNMHW2axMuHq6gpPT08k\nJSWhe/fuSE1Nhbu7e4kykZ+fj9u3b6N27dq4du0a1qxZg0GDBlkqJhERmdGdO8CePer04fBhCY0b\nq9OHzz8XeOABrdORuVj0MEdYWBhmz56NVatWwcnJCREREQCA2NhY+Pj4wNvbG9evX8f7778PSZIg\nhECfPn3QuXNnS8YkIqIKOH9enT4kJkq4eVOdPgwaJNCmDacPVZUkhLDpa4omJCQgKChI6xhERNVW\nfj6QmqpOHw4dkvDww+r0oXt3wNVV63R0L4mJiQgODq7wfqxuASYREVm/ixfV6cO2bUBengRfX4HQ\nUIGpUzl9qI5YJoiIqEx/Th+2bJHw008SHnpIIDgYmDdPoG5dmx5wkxmwTBARUakyMv5c+wDk5kr4\n178EnnlGYMoUAdlilzwkW8AyQUREAICCAmDvXnX6kJYmoUEDgV69gLlzBerV4/SB7o5lgoioGrt0\nSS0P27YB165J8PER6NdPYNIkTh/IdCwTRETVSEEB8P33aoE4cEBC/frq9CEmRkCn4/SB7g/LBBFR\nFZeZqZaHrVuBnBwJ3t4CTz0lEBnJ6QOZB8sEEVEVU1gI7N+vLp48cECCm5t65kV0tIBez+kDmR/L\nBBFRFZCVBWzdKmHLFuDKFXX60Lu3wP/+J2Bnp3U6qupYJoiIbFBhIXDggDp92L9fgk4n0LMnMHOm\nQP36nD6QZbFMEBHZiOzsv6YP2dkSOnVSL1s9fjynD6QtlgkiIiulKMWnD3XrCgQFAdOmCbi7c/pA\n1oNlgojIihiNwLZtEhISgKwsdfoQHCzw3nsCNfgnNlkp/q9JRKQhRQHS0tTpw759EurUUdc+TJ0q\n0LAhpw9kG1gmiIgs7MoVdfqwZQtw+bKEDh3U6cM773D6QLaJ/9sSEVUyRQEOHlSnD6mpEh54QF37\nMGWKwIMPcvpAto9lgoioEly9CiQmqtOHjAwJ7dqp04e33hKoWVPrdETmxTJBRGQGQgCHDqnThz17\nJDg7q9OHyEiBhx/m9IGqNouXiYyMDERHRyM3NxfOzs4IDw+Hh4dHsW0KCwvx6aef4siRI7Czs8MD\nDzyAUaNGoWHDhpaOS0R0V7//DiQmqgXi4kUJjz8uEBIi8MYbArVqaZ2OyHIsXibi4uIQEhKCwMBA\n7NmzBzExMZg+fXqxbVJTU5Geno7Y2FjY2dnh66+/xpIlSzBu3DhLxyUiKiIEcOQIsHmzOn1wdAR6\n9FAvWe3hwekDVV8WLRM5OTlIT0/H5MmTAQC+vr6Ij4+HwWCAXq8v2k6n0yE/Px937tyBg4MD8vLy\nin2diMhSrl0Dtm9XC8T58+r0oVcvgYgITh+I/mTRMpGdnQ2dTgf5j3veSpIEvV5foky0bt0a7du3\nx5AhQ+Do6AidToepU6eWuk+j0YioqKgSz/v5+cHf379yfhAiqrKEAI4eVQ9dpKRIcHAAuncXeP99\ngcaNOX0g25ScnIyUlJQSz3t5eZll/1a5AHP37t04fvw4Fi9eDEdHRyxevBjz589HeHh4iW11Oh1C\nQ0M1SElEVUVuLrBjhzp9OHdOwmOPqdOH0aMF7O21TkdUcf7+/qX+gp2YmGiW/Vu0TLi5ucFoNEJR\nFMiyDCFEiakEABw5cgRPPPEEnJycAADdunXDpEmTLBmViKowIYDjx/+aPtSsCQQGCowbJ9C0KacP\nROVl0TLh6uoKT09PJCUloXv37khNTYW7u3uJMtGkSRPs27cPffv2hZ2dHX744Qc0btzYklGJqIq5\nfh1ISlKnD2fOSGjdWp0+hIUJODhonY7Itln8MEdYWBhmz56NVatWwcnJCREREQCA2NhY+Pj4wNvb\nGz179sRvv/2G0aNHQ5Zl6HQ6hIWFWToqEdkwIYATJ9Tpw65dEmrUUKcPY8cKeHpy+kBkTpIQwqY/\nVQkJCQgKCtI6BhFZgRs31OlDQoKEU6cktGqlTh/8/QFHR63TEVmfxMREBAcHV3g/VrkAk4jIFEIA\nv/6qHrrYtUuCLAPdugmEhws88ohN/55EZFNYJojIpuTlATt3qtOHX3+V0KKFetXJ//5X4I8120Rk\nYSwTRGT1Tp5Upw87d0oAgIAAgVGjBJo1E5AkjcMREcsEEVmfmzeBXbvU6cOJExKaNVOnDy+/LODs\nrHU6IvonlgkisgqnTqnlISlJgqIAXbsKvPaaQPPmnD4QWTuWCSLSxK1bQHKyevji558lPPKIeubF\n4sUCtWtrnY6IyoNlgogs5vRpdfqwY4eEggLA319dONmyJacPRLaMZYKIKo2i/HXPi2PHJHh6qtOH\nhQsFXFy0TkdE5sIyQUSV4tIlICxMRvv2Ai+9JNC6NacPRFUVywQRmd233wJz5siIjlbw6KNapyGi\nysYyQURmc/Mm8M476n0wNm5UeAMtompC1joAEVUNhw8DffrICAkRmDmTd+Ikqk44mSCiChECmDtX\nvTfGsmUK3N21TkRElsbJBBHdt6ws4Lnn1D9GVq1ikSCqrjiZIKL7smULMGOGjJkzFTz+uNZpiEhL\nLBNEVC63bgHvvy8hP19dZOnoqHUiItIaD3MQkcmOH1cXWQYECMTECBYJIgKgwWQiIyMD0dHRyM3N\nhbOzM8LDw+Hh4VFsmx07dmDDhg1Fjw0GA9q0aYN3333X0nGJCOoiy/h4CVu3Sli8WEHDhlonIiJr\nYvEyERcXh5CQEAQGBmLPnj2IiYnB9OnTi20TGBiIwMDAosevv/46AgICLJyUiAAgOxsYNUqCjw+w\nerUCmfNMIvoHi/6xkJOTg/T09KJi4Ovri8zMTBgMhrt+z6+//oqcnBx4e3tbKCUR/Wn7diA0VMa4\ncQIREYJFgohKZdHJRHZ2NnQ6HeQ//kSSJAl6vR4GgwF6vb7U79m2bRu6desGOzu7Ur9uNBoRFRVV\n4nk/Pz/4+/ubLzxRNXLnDjBhgoTcXGDDBgXOzlonIqKKSE5ORkpKSonnvby8zLJ/qz6b4/bt20hJ\nScGMGTPuuo1Op0NoaKgFUxFVbb/8AoweLeO11xQ8/bTWaYjIHPz9/Uv9BTsxMdEs+7domXBzc4PR\naISiKJBlGUKIe04l9uzZg0aNGuHhhx+2ZEyiakkI4IsvJGzcKGHBAgX82BGRqSx6BNTV1RWenp5I\nSkoCAKSmpsLd3f2ehziCgoIsGZGoWrpyBRg0SILRCKxdyyJBROVj8eVUYWFhSEhIwIgRI7BmzRqM\nHj0aABAbG4v9+/cXbXfp0iWcPn0afn5+lo5IVK3s2qVeEjs8XODttwXusjyJiOiuJCGE0DpERSQk\nJHB6QXQf8vOBDz6QYDAAM2cK1K6tdSIisrTExEQEBwdXeD880YuoGjp1Sr2SZdu2QHw8iwQRVYxV\nn81BROYlBLBkiYTVqyXExyto1EjrRERUFbBMEFUTOTnA6NESWrQA1q9XuDaCiMyGZYKoGkhJASIj\nZURFKXjiCa3TEFFVY/Kaifnz5yMvL68ysxCRmRUUAJGREhYtkrBuHYsEEVUOk8tEcnIymjRpgoiI\nCJw6daoyMxGRGZw5A/TtK6N5c2DBAoEHHtA6ERFVVSaXiS+//BKHDx+Gq6srunXrhpCQEHz77beV\nmY2I7tOXX0oYNUrG3LkKBg606bO/icgGlOvU0AYNGmDixIlYtmwZjh49isGDB6Nly5Zmu7Y3EVXM\ntWvASy9JOHVKvUFX06ZaJyKi6sDkBZg3b97El19+ibi4ODg4OGDGjBkYMGAA0tLS8Oyzz+LcuXOV\nmZOIyrB3LzBhgozISAVdumidhoiqE5PLRNOmTdGjRw/Ex8ejc+fORc97e3vzCpREGiosBKZOlXDy\nJLB6tQJXV60TEVF1Y3KZ+Omnn9CwYcNSv/b555+bLRARme7cOSAsTMbzzwu8/76AJGmdiIiqo3Kd\nGpqdnV30ODs7Gx988EGlhCKisq1cKWHECBmzZysYPJhFgoi0Y3KZWL9+Pdzc3Ioeu7m5Yd26dZUS\niojuLjcX+M9/JBw5AmzcqOCRR7RORETVXYVu9FVQUGCuHERkgv37gX79ZAwaJDB5skDNmlonIiIq\nR5lo1qwZZs6cCUVRUFhYiBkzZqBly5aVmY2I/lBYCHz8sYQ5cySsXKmga1etExER/cXkMjFnzhxs\n2rQJTk5OcHZ2RkJCAmJjYyszGxEBuHAB6N9fhl4PLFsmUK+e1omIiIoz+WyOhx56CElJSbh+/ToA\noHbt2pUWiohU69YB8fEy5sxR0KKF1mmIiEpXrruGZmZm4tixY7h161bRc7179zZ7KKLq7sYNYOxY\nCa6u6iLLWrW0TkREdHcml4lFixbhgw8+QHZ2Npo3b45Dhw7hiSeeKHeZyMjIQHR0NHJzc+Hs7Izw\n8HB4eHiU2O7s2bOIj4/H77//DkVRMHToUPzrX/8q12sR2aK0NODtt2W8+66C7t21TkNEVDaTy8TM\nmTPx448/onv37vjxxx+RnJyMhQsXlvsF4+LiEBISgsDAQOzZswcxMTGYPn16sW1u376NDz/8EBER\nEWjVqhUURSk6vEJUVSkKEB0t4YcfgK++UvC3M7GJiKyayQswa9asiXr16hWdDurv74+DBw+W68Vy\ncnKQnp6OgIAAAICvry8yMzNhMBiKbbdr1y60bNkSrVq1UkPKMh7g/ZOpCsvIAAYMkFG7NrBihWCR\nICKbYvJkwsHBAYqioFmzZoiNjUWjRo1w48aNcr1YdnY2dDodZFntMJIkQa/Xw2AwQK/XF213/vx5\n1KxZE5MmTYLRaESTJk3w8ssvl1oojEYjoqKiSjzv5+cHf3//cuUj0sI33wCxseqVLFu31joNEVVF\nycnJSElJKfG8l5eXWfZvcpmYMmUKrl27hmnTpmHEiBHIycnBJ598YpYQ/1RQUIC0tDTMnDkT9erV\nw9KlSzFv3jyMGzeuxLY6nQ6hoaGVkoOoMuXlAePGSbC3B775RoG9vdaJiKiq8vf3L/UX7MTERLPs\n36TDHIWFhTh8+DBcXV3xyCOPIDExEQcOHECPHj3K9WJubm4wGo1QFAUAIIQoMZUAgPr16+Pxxx9H\nvT9OqO/atStOnjxZrtcismaHDwN9+8r4978FZswQLBJEZNNMKhN2dnZYunRphV/M1dUVnp6eSEpK\nAgCkpqbC3d29RJno0qULTp48iby8PABAWloamjZtWuHXJ9KaEEBMjIQpU2QsX64gOFjrREREFWfy\nAswePXrgq6++qvALhoWFISEhASNGjMCaNWswevRoAEBsbCz2798PANDr9XjmmWfw1ltvYfTo0Th8\n+DBGjBhR4dcm0lJmJvDsszLs7ICvv1ZQv77WiYiIzEMSQghTNnRzc8OVK1fg4OAAZ2dn9ZslCVlZ\nWZUasCwJCQkICgrSNANRWTZvBqKjZcycqaBNG63TEBGpEhMTEWyGEanJCzAPHDhQ4Rcjqm5u3QLe\ne0+CogAbNihwdNQ6ERGR+ZlcJpo0aVKJMYiqnqNHgTfekDFmjIInn9Q6DRFR5TG5TJS2AFKSJJw+\nfdqsgYhsnRDAvHkStm+XsGSJggYNtE5ERFS5TC4T33zzTdG/37p1C0uXLkXdunUrJRSRrTIYgLAw\nGb6+AqtWKZBNXuJMRGS7TC4Tjz32WLHHnTp1whNPPIHIyEhzZyKySdu2AdOmyZg+XUG7dlqnISKy\nnHLdgvzvrly5ovmZHETW4PZtYPx4CTdvqossnZy0TkREZFkml4nOnTsX/XthYSHOnDmDsWPHVkoo\nIltx4gQwZoyMkSMV9O2rdRoiIm2YXCb+fpvwGjVqwNPTEw8++GClhCKydkIAn38u4dtvJXzxhYKH\nHtI6ERGRdkwuEz4+PrC3ty+646eiKLh16xYcHBwqLRyRNTIagddfl9ChA7B2LRdZEhGZ/MdgYGAg\ncnNzix5fu3at3Df6IrJ1SUnA88/LePNNgbFjBYsEERHKMZm4efMm6tSpU/TY1dUVN27cqJRQRNbm\nzh0gMlLClSvA+vUKatfWOhERkfUw+fcqRVFw/fr1ose5ubnIz8+vlFBE1uTXX4E+fWR07Cgwf75g\nkSAi+geTJxMvvvgievbsiZEjR0IIgXnz5mHIkCGVmY1IU0IAixZJWLtWwmefKfDw0DoREZF1MrlM\njBs3Dg3wK1SKAAAZj0lEQVQaNMDGjRsBACNHjsSgQYMqLRiRlq5eBUaPltC6tXpYw85O60RERNar\nXBetGjp0KIYOHVpZWYisQnIyMGmSjKgoBT4+WqchIrJ+Jq+ZCAkJgdFoLHpsMBjw73//u1JCEWkh\nPx+YOFHC0qUS1q1jkSAiMpXJZeLSpUvQ6XRFj/V6PS5evFgpoYgs7fRpoG9fGa1bA599JuDionUi\nIiLbYfJhDkVRkJ+fj5o1awIA7ty5gzt37lRaMCJLEAJYvlzCV19J+OQTBU2aaJ2IiMj2mFwmgoOD\n8cILLyA8PBxCCMyePRtPPvlkuV8wIyMD0dHRyM3NhbOzM8LDw+Hxj2XyR44cQWRkJB5++OGi56ZP\nn45atWqV+/WI7ub334ExYyR4eqqLLGvc923viIiqN5P/+IyKisLUqVPxxhtvAAD69OmDcePGlfsF\n4+LiEBISgsDAQOzZswcxMTHF7vvxp8aNG2PWrFnl3j+RKVJTgQkTZEyapOD//k/rNEREts3kNRO1\natXCxIkTsX//fuzfvx8jRoxAXFxcuV4sJycH6enpCAgIAAD4+voiMzMTBoOhXPshul8FBcCkSRI+\n/VTC2rUsEkRE5lDuwW5CQgIWLFiALVu2oEePHggPDzf5e7Ozs6HT6YpuFiZJEvR6PQwGA/R6fbFt\nL1y4gDFjxsDOzg5BQUEICQkpdZ9GoxFRUVElnvfz84O/v385fjKq6s6eBUaNkhEaKjBhgoAkaZ2I\niMgykpOTkZKSUuJ5Ly8vs+zfpDJx9uxZfPHFF1i0aBEaNmyI9PR0nDt3DnXr1jVLiH/y8vLCokWL\n4OTkBKPRiMjISLi4uKBLly4lttXpdAgNDa2UHFR1fP21hMWLJcydq8DTU+s0RESW5e/vX+ov2ImJ\niWbZf5mHOXr06AE/Pz/cvn0bW7Zswffffw8XF5f7KhJubm4wGo1QFAUAIIQodSrh5OQEJycnAGpZ\n6Nq1K44dO1bu1yPKzQVeeUXC8ePAhg0sEkRElaHMMpGeno7GjRujVatWaNSoUYVezNXVFZ6enkhK\nSgIApKamwt3dvUSZuHr1alHhyMvLw/79+802iqHqY/9+oF8/GUOGCHzwgcAfZzUTEZGZlXmY4/Tp\n09i+fTsWLFiAN998E71798atW7fu+wXDwsIwe/ZsrFq1Ck5OToiIiAAAxMbGwsfHB97e3khNTcV3\n330HOzs7FBYWokuXLujRo8d9vyZVL4WFwLRp6jRi1SoFlXQ0joiI/iAJIYSpG1+5cgXLly/HggUL\nkJ2djRdeeKHU0zotKSEhAUFBQZpmIOtx/jwQFiajf3+BoUO5yJKI6F4SExMRHBxc4f2YfGooANSr\nVw+vv/46Dh48iA0bNiAvL6/CAYjMZc0a4D//kTFzpoJhw1gkiIgs5b6v+dexY0d07NjRnFmI7sv1\n68DYsRLq1QM2blTAC6USEVlWuSYTRNbmxx+Bp5+W8fzzAh9+KFgkiIg0wLsRkE1SFGDmTAk//QR8\n/bWCv93QloiILIyTCbI5Fy8C/fvLcHUFli8XLBJERBord5lISkrCY489hqZNm2LhwoWVkYnorjZu\nBF56ScZHHyn4z3+4yJKIyBqUeZjj999/R506dYoex8XFYd++fZAkCZ07d8bw4cMrNSARAOTlAW+/\nLcHJSV1kaW+vdSIiIvpTmZOJPn36YPXq1UWPa9WqhbS0NPz444+oxdVuZAEHDwJ9+8ro21dg2jTB\nIkFEZGXKLBNbtmzBTz/9hGeeeQYZGRn48MMP8dlnn2HOnDn47LPPLJGRqilFAWbPlvDhhzK+/FIB\nr01GRGSdyjzM4eDggKioKBw+fBhDhw5Fv379sGTJEkg8WE2V6PJlYORIGT16CHz9tcK1EUREVqzM\nyURhYSG+/fZbZGVlISEhAXfu3EGvXr3w888/WyIfVUPffQcMGSJj0iQFI0dykSURkbUrczLx3HPP\nwdXVFXl5eVizZg3mzZuHfv36ITw8HO3atcPEiRMtkZOqgZs3gXfflSDL6iJLBwetExERkSnKLBPp\n6ek4ePAgAKBdu3YAgMaNG2PdunVYsWJF5aajauPoUeCNN2RERCgICdE6DRERlUeZZaJJkyZ4+eWX\nkZeXB29v72Jfe+GFFyotGFUPQgCffCIhKUnC0qUK3N21TkREROVVZplYtWoVtmzZglq1avFW32RW\nWVnAqFEyunQRWLlSgczrsRIR2aQyy0TNmjXx73//2xJZqBrZuhWYPl3GjBkK2rbVOg0REVUEb/RF\nFnX7NvD++xJu3wY2bFDg5KR1IiIiqiiLlomMjAxER0cjNzcXzs7OCA8Ph4eHR6nb3rlzBxEREbC3\nt8esWbMsGZMqyfHjQESEjFGjFDz1lNZpiIjIXCx6lDouLg4hISGYP38++vfvj5iYmLtuu3TpUrRo\n0cKC6aiyCAHEx0t4/30ZCxeySBARVTUWKxM5OTlIT09HQEAAAMDX1xeZmZkwGAwltj127BguXbqE\nbt26WSoeVZLsbGDgQAnXrwNr1ih48EGtExERkblZrExkZ2dDp9NB/mPJviRJ0Ov1JcrErVu38Pnn\nn2PkyJGWikaVZMcO4IUXZLz1lsCbbwqerUFEVEVZ3QLMhQsX4sknn0S9evVw8eLFMrc3Go2Iiooq\n8byfnx/8/f0rIyKV4c4d4H//k3DtGrB+vQJnZ60TERFVb8nJyUhJSSnxvJeXl1n2b7Ey4ebmBqPR\nCEVRIMsyhBAwGAzQ6/XFtjt+/Dh+/PFHfPXVV7hz5w6uX7+OUaNGYe7cuaXuV6fTITQ01BI/Apng\n11+B0aNlvPqqgn79tE5DREQA4O/vX+ov2ImJiWbZv8XKhKurKzw9PZGUlITu3bsjNTUV7u7uJcpE\nbGxs0b8fOXIECxcu5NkcNkAIYOFCCRs2SPj8cwUPP6x1IiIishSLHsUOCwtDQkICRowYgTVr1mD0\n6NEA1AKxf/9+S0YhM7p6FRg8WILBAKxdyyJBRFTdSEIIoXWIikhISOBlvjW0axcwebKMqVMVdO6s\ndRoiIiqPxMREBAcHV3g/VrcAk2xDfj4waZKEzExg3ToFLi5aJyIiIq3wZD0qt1OngD59ZLRpA3z6\nqWCRICKq5jiZIJMJASxdKmHVKgnz5yto3FjrREREZA1YJsgkOTnAmDESmjdXrx1hZ6d1IiIishYs\nE1Sm3buByEgZkycr+Ne/tE5DRETWhmWC7qqgAPjwQwlnz6qnfD7wgNaJiIjIGnEBJpXqzBmgb18Z\njzwCfPGFYJEgIqK74mSCSlixQsKyZRJiYxV4emqdhoiIrB3LBBW5dg0ID5fQqBGwYYOCGvy/g4iI\nTMDDHAQA2LcP6N9fxvDhApGRgkWCiIhMxr8yqrnCQuCjjyT88guwerUCV1etExERka3hZKIa++03\n4OmnZXh4AIsXCxYJIiK6L5xMVFOrVkn44gt1keUjj2idhoiIbBnLRDVz/Trw5psS9Hpg40YFNWtq\nnYiIiGwdD3NUIwcOqIc1Bg4UmDJFsEgQEZFZcDJRDSgKMGOGhEOHgJUrFdSrp3UiIiKqSjiZqOIu\nXlRP+dTpgGXLBIsEERGZHScTVdj69cD8+TLmzFHQooXWaYiIqKqyeJnIyMhAdHQ0cnNz4ezsjPDw\ncHh4eBTb5sSJE5g3bx4AoKCgAM2bN8eIESNgb29v6bg26cYN4K23JLi4qFey5H82IiKqTBY/zBEX\nF4eQkBDMnz8f/fv3R0xMTIltmjZtilmzZmHOnDmYO3cu8vLysHnzZktHtUk//aQushwwQODjjwWL\nBBERVTqLlomcnBykp6cjICAAAODr64vMzEwYDIZi29nb28POzg4AkJ+fj9u3b6NOnTqWjGpzFAWY\nNUvCxx9LWLFCQffuWiciIqLqwqKHObKzs6HT6SDLaoeRJAl6vR4GgwF6vb7YtllZWZgyZQouX76M\n9u3bo1u3bqXu02g0IioqqsTzfn5+8Pf3N/8PYYUuXQLCwmQEBwusWCEgSVonIiIia5KcnIyUlJQS\nz3t5eZll/1a7ALN+/fqIiYnBrVu3MH36dKxevRrPPPNMie10Oh1CQ0M1SGgdNm0CYmJkzJ6toHVr\nrdMQEZE18vf3L/UX7MTERLPs36Jlws3NDUajEYqiQJZlCCFKnUr8nYODA7p27YqdO3daLqgNuHkT\neOcdCTVqqFeydHDQOhEREVVXFl0z4erqCk9PTyQlJQEAUlNT4e7uXqJMXLp0CQUFBQDUNRN79+5F\nC57bWOTwYaBvXxm9ewvMnClYJIiISFMWP8wRFhaG2bNnY9WqVXByckJERAQAIDY2Fj4+PvD29sax\nY8ewfv16yLIMRVHQoUOHUg9xVDdCAHPnSkhOlrB0qQJ3d60TERERAZIQQmgdoiISEhIQFBSkdYxK\nl5mpLrIMCBAIC+MiSyIiqrjExEQEBwdXeD9WuwCT/pKQAMyaJWPmTAVt2midhoiIqDiWCSt26xbw\n3nsSFEW9kqWjo9aJiIiISuKNvqzUsWNAnz4yuncXmD1bsEgQEZHV4mTCyggBxMdL2LpVwuLFCho2\n1DoRERHRvXEyYUWys4HQUBk3bwKrV7NIEBGRbeBkwkps3w589JGMadMUtG+vdRoiIiLTsUxo7M4d\nYMIECdevq4ssnZy0TkRERFQ+PMyhoRMngKeekvGvfwnExQkWCSIiskmcTGhACGDBAgmbNkn44gsF\nDz2kdSIiIqL7x8mEhRmNwIsvSrh6FVi7lkWCiIhsHycTFrRzJzBlioyPPlLQqZPWaYiIiMyDZcIC\n8vOByEgJ2dnA+vUKatfWOhEREZH58DBHJTt1Sr2SZfv2AvHxgkWCiIiqHE4mKokQwJIlEtaskRAf\nr6BRI60TERERVQ5OJipBTg4wdKiEixeBdetYJIiIqGrjZMLMUlKADz6QMWWKgiee0DoNERFR5WOZ\nMJOCAmDKFAnnz6unfD7wgNaJiIiILIOHOczg9Gmgb18ZLVsCCxYIFgkiIqpWLD6ZyMjIQHR0NHJz\nc+Hs7Izw8HB4eHgU2+bQoUNYunQpbt68CUmS4OPjg8GDB1s6qkmWL5ewYoWEuDgFTZponYaIiMjy\nLF4m4uLiEBISgsDAQOzZswcxMTGYPn16sW1cXFzw1ltvwd3dHfn5+Rg/fjx27dqFrl27WjruXf3+\nOxAeLqFpU/XaETV4wIiIiKopix7myMnJQXp6OgICAgAAvr6+yMzMhMFgKLadp6cn3N3dAQA1a9ZE\n06ZNkZmZacmo97R3LzBggIxXXhH43/8EiwQREVVrFv1rMDs7GzqdDrKsdhhJkqDX62EwGKDX60v9\nnqtXryI1NRWRkZGlft1oNCIqKqrE835+fvD39zdbdgAoLASmTpVw6hSwerUCV1ez7p6IiKhSJCcn\nIyUlpcTzXl5eZtm/Vf9OnZeXh8mTJ2PAgAHw9PQsdRudTofQ0NBKz3LuHDBqlIznnhN4/30BSar0\nlyQiIjILf3//Un/BTkxMNMv+LVom3NzcYDQaoSgKZFmGEOKuU4m8vDxMnDgRTzzxBPr27WvJmCWs\nXClh0SIJsbEKzFTiiIiIqgyLrplwdXWFp6cnkpKSAACpqalwd3cvUSZu3ryJyMhIdOzYEc8995wl\nIxaTmwv85z8Sjh4FNmxgkSAiIiqNxQ9zhIWFYfbs2Vi1ahWcnJwQEREBAIiNjYWPjw+8vb2xceNG\nnDx5Erdv38bevXsBAF26dMGzzz5rsZz79wPvvSdjwgQFVnQSCRERkdWRhBBC6xAVkZCQgKCgILPt\nr7AQmD5dnUbExgrUrWu2XRMREVmVxMREBAcHV3g/vALm35w/D/TrJ8PdHVi6lEWCiIjIFFZ9Nocl\nrV0LfPqpjJgYBc2ba52GiIjIdlT7MnHjBjB2rARXV2DjRgW1ammdiIiIyLZU68McaWnA00/LePZZ\ngalTBYsEERHRfaiWkwlFAaKjJRw4AHz1lQKdTutEREREtqvaTSYyMtT7ari4AF9+KVgkiIiIKqha\nTSa++QaYO1fG7NkKWrXSOg0REVHVUC3KRF4eMG6cBAcHdZGlvb3WiYiIiKqOKn+Y49AhoG9fGX36\nCEyfLlgkiIiIzKzKTiYUBYiNlbBnj4TlyxXUr691IiIioqqpSk4mMjOB556TUbMm8PXXLBJERESV\nqcpNJjZvBqKjZcyapeCxx7ROQ0REVPVVmTJx6xbw7rsSAPV24Y6OGgciIiKqJqrEYY6jR4E+fWQE\nBQlERwsWCSIiIguy+cnEhQtAfLyMJUsUNGigdRoiIqLqx+YnEzVqGLFyJYtEVZGcnKx1BDIjvp9V\nD9/TqiU7O9ss+7H5MnHtmhGyzf8U9KeUlBStI5AZ8f2sevieVi1Go9Es+7H4YY6MjAxER0cjNzcX\nzs7OCA8Ph4eHR7FtsrKyEB0djTNnzuDBBx/ErFmzLB2TiIiITGTx3+nj4uIQEhKC+fPno3///oiJ\niSmxjZOTE4YMGYKxY8daOh4RERGVk0XLRE5ODtLT0xEQEAAA8PX1RWZmJgwGQ7HtateujVatWsGe\n174mIiKyehYtE9nZ2dDpdJD/WOQgSRL0en2JMkFERES2w+ZPDbW3t0dcXFyJ53U6Hdzc3DRIRBXh\n5eWFxMRErWOQmfD9rHr4ntqm7OzsUhdbmusIgEXLhJubG4xGIxRFgSzLEELAYDBAr9ff9z5fffVV\nMyYkIiKi8rLoYQ5XV1d4enoiKSkJAJCamgp3d/cKlQkiIiLSliSEEJZ8wYsXL2L27NnIzc2Fk5MT\nIiIi4OHhgdjYWPj4+MDb2xv5+fn473//i/z8fNy4cQOurq4IDAzE4MGDLRmViIiITGDxMkFERERV\nC68dSURERBViE2dzmHLVTADYunUr1qxZAyEE2rZtixEjRsDOzk6DxFQWU97TI0eOIDIyEg8//HDR\nc9OnT0etWrUsHZfuIT4+Hj/88AOysrIwd+5cNGrUqNTt+Pm0Daa8n/xs2o78/Hx8/PHHuHDhAuzt\n7VG3bl2MHDkS9evXL7FthT6jwga89957Yvv27UIIIXbv3i3Gjh1bYptLly6JIUOGiJycHCGEEJMn\nTxabN2+2aE4ynSnv6eHDh0VERISlo1E5HTt2TGRnZ4uXX35ZnDt3rtRt+Pm0Haa8n/xs2o47d+6I\nAwcOFD3etGmTmDBhQontKvoZtfrDHKZeNTM1NRW+vr6oU6cOAKBXr168u52VMvU9JdvQunVr6HS6\ne27Dz6ftMOX9JNtRs2ZNdOzYsehx8+bNcfny5RLbVfQzavWHOe511cy/n1L6z8f169fnX05WytT3\nFAAuXLiAMWPGwM7ODkFBQQgJCdEiMlUQP59VDz+btumbb76Bj49Piecr+hm1+jJB1ZeXlxcWLVoE\nJycnGI1GREZGwsXFBV26dNE6GlG1xs+mbVq5ciUuX76MUaNGmX3fVn+Y4+9XzQRw16tm6vV6ZGVl\nFT3OysrixbCslKnvqZOTE5ycnACol0fv2rUrjh07ZvG8VHH8fFYt/GzanrVr12Lfvn2IjIwsdaFs\nRT+jVl8mTL1qpq+vL/bu3YucnBwIIbB582b4+/trEZnKYOp7evXq1aLCkZeXh/3798PLy8viecl0\n4i6XreHn0zbd7f3kZ9O2rF+/HikpKZg0aVJRCfynin5GbeKiVaZcNRNQT2tZvXp10Wktr732Gk89\ns1KmvKfffvstvvvuO9jZ2aGwsBBdunTBCy+8oHV0+od58+Zh//79yMnJgYuLCxwdHREfH8/Pp40y\n5f3kZ9N2ZGdn46WXXkKDBg3g6OgIQF2UOWPGDLN+Rm2iTBAREZH1svrDHERERGTdWCaIiIioQlgm\niIiIqEJYJoiIiKhCWCaIiIioQlgmiIiIqEJ4OW0iuqcmTZrA0dERDg4ORc+tWLECLVu2NNtrnD17\nFp07d+b9OohsFMsEEd2TJElYs2YNWrdurXUUIrJSPMxBRGUq7dp2siwjMjISHTp0QIsWLfDVV18V\nfS0hIQEdO3ZE27ZtERAQgJ9//rnoawsXLkT79u3Rrl07dO7cGb/99lvR1yZOnIhOnTqhWbNm2Lx5\nc+X+UERkNpxMENE9CSHwzDPPFB3mkCQJ33//PQDAzs4OaWlpOHPmDLy9veHn54eaNWti8ODB2Llz\nJx599FF8+eWXeO6553DkyBHs3LkTH374Ifbs2YP69evj1q1bEEIgMzMTRqMRnTp1wgcffIAtW7Zg\nzJgxvK01kY3g5bSJ6J6aNm2Kb7/9tsRhDlmWcfHiRTRs2BAA0K9fPzz33HOoXbs2YmJisG3btqJt\n69ati59//hkzZ85EnTp1MH78+GL7Onv2LNq0aYPc3FwAwO+//w43Nzfk5+dX8k9HRObAwxxEdN/+\n+buILMuQJOmu20uSdNc7Uf59geefN5AiItvAMkFEZbpbAfjiiy8AqJOF3bt3o0uXLvDx8cGhQ4dw\n4sQJAMBXX30FDw8PNGjQAE899RSWLFmCzMxMAOrtq2/evGmZH4KIKg3XTBBRmf65ZiImJgYAoCgK\nOnTogBs3bmDu3Ll46KGHAABLly7Fiy++iMLCQtStWxcrV64EAPj5+WH8+PHo2bMnJElCrVq1sGbN\nmqL9/t29JhxEZF24ZoKI7ossy7h+/TqcnJy0jkJEGuNhDiK6L5wcENGfOJkgIiKiCuFkgoiIiCqE\nZYKIiIgqhGWCiIiIKoRlgoiIiCqEZYKIiIgqhGWCiIiIKoRlgoiIiCqEZYKIiIgqhGWCiIiIKuT/\nAcBveRggqqRUAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2ad059ec>"
},
{
"html": "<h2>Learning Rate 10</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2afaeb8c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\nBest accuracy 1.0\nNumber of epochs: 3\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnkAAAE0CAYAAABQJyWOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b04d16c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhMAAAEzCAYAAACL54GPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2aa1902c>"
},
{
"html": "<h2>Learning Rate 1</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2b24ef0c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\nBest accuracy 1.0\nNumber of epochs: 7\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnIAAAE0CAYAAACox955AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n5ERERETclIqciIiIiJv6/x3bTZLtI56rAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b2540ac>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg4AAAEzCAYAAABZt4vXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmYqDiIiIuEzFQURERFym4iAiIiIu+//4Ns6IuiAqAAAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b01c74c>"
},
{
"html": "<h2>Learning Rate 0.01</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2b1aecec>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\nBest accuracy 1.0\nNumber of epochs: 7\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAoQAAAE0CAYAAAC1lSKnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b3f330c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg4AAAEzCAYAAABZt4vXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nazGbawAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b24ef6c>"
},
{
"html": "<h2>Learning Rate 0.001</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2b4b198c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\nBest accuracy 1.0\nNumber of epochs: 7\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApIAAAE0CAYAAACfJdMIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niEhA/h/KZSwRFB+lkAAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b58172c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAg4AAAEzCAYAAABZt4vXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wetQMo1KvfwgAAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b10214c>"
},
{
"html": "<h2>Number of Epochs vs Learning Rate</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2b795e6c>"
},
{
"html": "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Rate</th>\n <th>Epochs</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td> 1000.000</td>\n <td> 5</td>\n </tr>\n <tr>\n <th>1</th>\n <td> 100.000</td>\n <td> 3</td>\n </tr>\n <tr>\n <th>2</th>\n <td> 10.000</td>\n <td> 3</td>\n </tr>\n <tr>\n <th>3</th>\n <td> 1.000</td>\n <td> 7</td>\n </tr>\n <tr>\n <th>4</th>\n <td> 0.010</td>\n <td> 7</td>\n </tr>\n <tr>\n <th>5</th>\n <td> 0.001</td>\n <td> 7</td>\n </tr>\n </tbody>\n</table>\n</div>",
"metadata": {},
"output_type": "display_data",
"text": " Rate Epochs\n0 1000.000 5\n1 100.000 3\n2 10.000 3\n3 1.000 7\n4 0.010 7\n5 0.001 7"
}
],
"prompt_number": 98
},
{
"cell_type": "code",
"collapsed": false,
"input": "data, meta = loadarff('./ex_2.arff')\ntry_rates(meta, DataFrame(data), [1000, 100, 10, 1, .01, .001]);",
"language": "python",
"metadata": {},
"outputs": [
{
"html": "<h2>Learning Rate 1000</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2b5f77ac>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\nBest accuracy 0.75\nNumber of epochs: 46\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAnQAAAE0CAYAAACl2a4+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b19570c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhIAAAEzCAYAAABkJeqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2aa1e9ec>"
},
{
"html": "<h2>Learning Rate 100</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2bd1230c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\nBest accuracy 0.875\nNumber of epochs: 37\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAm0AAAE0CAYAAAB+YgQcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2bf454cc>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhIAAAEzCAYAAABkJeqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3Xl8U3W6P/DPSfeWQts0LW1YW2iLgiIiVaQVyia7gzoi\nI4ijvztcKgou4/XOKIxenBlxBEEU7+hVgdEZt1FALFKptFAUBdltgQICTbcESjegS76/Pw4pbZM0\n5+SsSZ/368WLNj05eZKT5DznuzxfjjHGQAghhBDiBYPWARBCCCHEd1EiQQghhBCvUSJBCCGEEK9R\nIkEIIYQQr1EiQQghhBCvUSJBCCGEEK9RIkEIIYQQr1EiQQghhBCvUSJBCCGEEK9RIkGITo0ePRoG\ngwHvvvtuu9vr6+sRGRkJg8GAM2fOaBTdNYwxJCUlISoqCpcvX9Y6HEKIyiiRIESnOI5Dr169sH79\n+na3f/bZZ4iOjgbHcRpF1l5BQQEuXLiA+Ph4fP7555rFYbfb0dLSotnjE9JVUSJBiI7NnDkTP/zw\nA86ePdt627p16/DAAw+g4zI5ubm5GD58OMLDw5Gamoo33nij9W+NjY2YO3cu+vTpg27dumH48OHI\ny8trd3+DwYD3338f48aNQ0REBIYPH45Dhw55jPH999/H/fffj3nz5uH99993+vu2bduQnp6OsLAw\n9OzZE9nZ2a1/q6ysxAMPPACj0YjIyEiMGjUKJ0+eBMC3yDz33HPt9tWvXz+88847AIDTp0/DYDDg\nk08+wS233IKwsDAcPnwYhYWFGDNmDKKjoxEXF4fZs2fDZrMJiunOO+/EM888027bb775BpGRkWho\naPD4WhDSFVEiQYiORUZGYvr06diwYQMAoLS0FN999x3uvffedtsVFxfj7rvvRnZ2No4ePYpXX30V\nf/rTn/DRRx8BAJqbm5GamorNmzfj4MGDmD59OmbMmIGqqqp2+3nhhRfw+OOPY//+/UhMTMRDDz3U\naXwNDQ345JNP8NBDD2HOnDnYvn07ysrKWv9+9OhRTJkyBRMmTMD+/fuxdetWXH/99a1/nzlzJk6d\nOoXNmzfjwIEDyM7ORnNzMwC+RaZjq4ur25YsWYI///nP+Pnnn9G/f3/U19cjOzsbe/fuxVdffYWz\nZ89iwYIFgmJ66KGH8MEHH7RL0tavX4+7774b4eHhnb4WhHRZjBCiS6NHj2bPPfccy8nJYYMGDWKM\nMfaXv/yFzZ49m504cYJxHMd++eUXxhhjDz30EHvqqafa3X/ZsmVs3LhxbveflpbG1q1b1/o7x3Fs\n+fLlrb/v3r2bcRzH6uvr3e5jw4YN7Prrr2/9fcKECezll19u/X3u3Lls2rRpLu+7fft2FhISwiwW\ni8u/O55/W/369WPvvPMOY4yxU6dOMY7j2j0HV3bv3s2Cg4OZ3W73GNOlS5dYdHQ027ZtG2OMsfr6\nehYZGcm++eabTh+DkK6MWiQI0bnx48ejuroaP/74IzZs2IC5c+c6dWscOnQIr7/+OiIjI1v/vfji\nizh16lTrNq+88gpuuOGG1m6E48eP49y5c+32M2TIkNaf4+PjAfDdD+6sW7cO8+bNa/39wQcfxLp1\n61p/P3LkCEaPHu3yvocPH8bAgQORkJDg8TXozE033dTu93PnzmHOnDlITk5G9+7dMW7cODQ3N6O8\nvNxjTKGhobjvvvtax6X8+9//RnR0NLKysiTFSIg/C9Q6AEJI5wwGA2bPno0nnngCNpsNEyZMQElJ\nSbtt6uvr8eSTT+K3v/1tu9sDA/mP+IYNG/Diiy/i9ddfx9ChQxEeHo5f/epXaGpqard9UFBQ68+O\nLgS73e4yrtLSUuTm5uKbb77Bs88+23q73W7Hvn37MGzYMABwSnrEPO+O9+0YLwCnLod58+ahubkZ\nb7/9NsxmM06ePInJkye3u29nMc2bNw/jxo3Dm2++2ToehRDiHrVIEOID5s6di507d2L27NkuZ2vc\neOONKCoqQlJSUrt/ffr0AQB89913yMrKwpw5czBkyBDEx8dLnjq6YcMGjBgxAgcPHsSBAwdw4MAB\n7N+/HzNmzGgddDl48GB8++23Lu8/ZMgQHD9+vN2YirZMJlO7v1VVVbW2KnTm+++/xxNPPIExY8Yg\nJSXFaRxIZzEBQHp6Onr37o3XX38d27dvx9y5cz0+JiFdGSUShOgUY6z1yvmGG26AzWbDSy+95HLb\np59+Gps3b8Zzzz2Ho0eP4siRI3jvvffw5ptvAgAGDBiAwsJC7Ny5E0eOHMG8efPctjQI9f777+Pe\ne+/Fdddd1/rv+uuvx+zZs/Hhhx+iubkZzzzzDL7++mv88Y9/RFFREfbv3481a9YA4GdlDB8+HHff\nfTcKCwtRUlKCf/zjHzh27BgAIDMzE5999hny8vJw6NAhPPLIIwgJCfEYV3JyMtatW4cTJ04gJyfH\n6TXrLCaHefPm4Y9//COGDRuG1NRUSa8TIf6OEglCdKrjDIXo6GgEBwe3+7vDsGHDsG3bNuzYsQPD\nhw9HRkYG3n//ffTv3x8AMH/+fIwdOxaTJ0/GxIkTkZmZiRtvvFFQDK788MMPKC4uxl133eX0tzvv\nvBO1tbXYsmULBg0ahE2bNiEnJwdDhw7FnXfe2ZooAPwYhH79+mHy5MkYOnQo3nrrrdbulUceeQQz\nZ87EzJkzMW3aNMyePRtxcXEe43v77bdx4sQJDBkyBEuWLMGyZcvabecpJgB44IEH0NLSQq0RhAjA\nMW87MAkhxE/t27cPI0eOhMViQUxMjNbhEKJrlEgQQshVzc3NqKysxH/+53+iR48e7WagEEJcU3XW\nhsViwYoVK1BbW4uIiAgsWrQIvXv3breN3W7He++9h3379qGlpQWDBg3CggULWkefE0KIUnbu3Imx\nY8fixhtvbB1fQgjpnKotEn/4wx8wduxYZGVlYdeuXfj888+xfPnydtts3boVu3btwpIlSxAQEIBV\nq1ahV69emDlzplphEkIIIUQg1QZbVldXo6SkpLUQzMiRI1FRUeE0Nev06dMYOnQoAgICAAA333yz\n05oAhBBCCNEH1foLrFYrjEYjDAY+d+E4DiaTCVVVVTCZTK3bDRw4EDk5OZg0aRICAwNRUFDQaWW9\nf/3rX04jrgF+6tgdd9wh/xMhhBBCfMyOHTuQn5/vdHtKSgruu+8+SfvW3cCDrKwsVFVV4b/+678Q\nGhqKoUOH4uDBg263r6+vxy233OJ0+6VLl5CTk6NkqKqy2WwwGo1ah6E4ep7+hZ6n/+kqz9Ufn6er\nc6XFYpG8X9USidjYWNhsNtjt9tbStx1bIxzuu+++1gwpPz8fffv2dbvfuro6jB8/XrG49WLZsmWY\nNWuW1mEojp6nf6Hn6X+6ynPtKs+zYzE2b6g2RiIqKgpJSUmt4x0KCwsRHx/vlEg0NTWhrq4OAFBT\nU4NPP/2UBloSQgghOqVq10Z2djZWrlyJjz/+GOHh4Vi8eDEAYPXq1UhPT8eIESNQV1eHP/zhD+A4\nDowxTJ8+3WVzDCGEEEK0p2oiYTabnaZ7AsDChQtbf46OjsYbb7yhZliEEEII8RKttUEIIYQQr/l8\nIuFvo2rdycjI0DoEVdDz9C/0PP1PV3muXeV5ynEO9fm1NnJycrrErA3StZ06BfTtCxh8PvUnhOhJ\nbm4uJk6cKGkf9LVEiA946ikDTpzQOgpCCHFGiQQhPuDYMaCsTOsoCCHEGSUShOhcUxNw8iRQWspp\nHQohhDihRIIQnTt1Chg8GJChki0hhMiOEglCdO7YMWDMGEaJBCFElyiRIETnioo4SiQIIbpFiQQh\nOldcDAwdCly6RGMkCCH6Q4kEITpXUcEhLk7rKAghxDVKJAjxAdzVxgjfLh9HCPFHlEgQomNWKxAb\ny2cPsbEMNpvGARFCSAeUSBCiY8XFQEoK/3NiIk0BJYToDyUShOhYcTGHtDS+RYISCUKIHlEiQYiO\nFRcDqan8z4mJDBYLzdwghOgLJRKE6FhJCYfkZP7nxESgtFTbeAghpCNKJAjRscZGIDiY/zkxkRbu\nIoToDyUShOjUlSvXkggAiI8Hysupa4MQoi+USBCiUyUlQHLytcIRgYFAS4uGARFCiAuUSBCiU8eO\nXRtoSQghehWo9gNaLBasWLECtbW1iIiIwKJFi9C7d+9227S0tOB///d/cejQIQQEBKB79+549NFH\nkZCQoHa4hGimqIhDRkb7UpaBgUBTExAUpFFQhBDSgeotEmvWrMGkSZOwdu1azJw5E6tWrXLaprCw\nECUlJVi9ejVWr16NG264AevWrVM7VEI01Xbqp0NCAkN5uTbxEEKIK6omEtXV1SgpKcHo0aMBACNH\njkRFRQWqqqrabWc0GtHU1ITGxkYwxtDQ0ACTyaRmqIRozmbjEBvb/raEBCpKRQjRF1W7NqxWK4xG\nIwwGPn/hOA4mkwlVVVXtEoXrrrsON910E+bOnYuwsDAYjUb8+c9/drlPm82GZcuWOd2ekZGBzMxM\nZZ4IIQpztzgXVbckhHgjPz8fBQUFTrcnOwrVSKD6GAkhdu7ciaNHj+L9999HWFgY3n//faxduxaL\nFi1y2tZoNGLWrFkaREmIcioqgPh452zCbGY4fpwDQMuAEkKEy8zMdHlxnZubK3nfqnZtxMbGwmaz\nwW63AwAYY06tEQBw6NAh3HrrrQgPDwfHcRgzZgwOHTqkZqiEaMrV+AiA79qgolSEED1RNZGIiopC\nUlIS8vLyAPCDKuPj450SiX79+uHAgQNouTpp/ocffkDfvn3VDJUQTbVdrKsts5nKZBNC9EX1ro3s\n7GysXLkSH3/8McLDw7F48WIAwOrVq5Geno4RI0ZgwoQJOHPmDB577DEYDAYYjUZkZ2erHSohmiku\nBq6OSW4nOho4f566Nggh+qF6ImE2m7F8+XKn2xcuXNj6c0BAAH73u9+pGRYhunLqFIf+/Z2TBY4q\nZBNCdIYqWxKiQ83NVHSKEOIbKJEgRGcuXQJCQtz/PSKCob5evXgIIaQzlEgQojMnTgApKe7HQFAt\nCUKInlAiQYjOuJv66UCJBCFETyiRIERnioo4AS0SNOqSEKIPlEgQojOelg9PTGRUS4IQohuUSBCi\nM9XVHKKj3f89MZGqWxJC9IMSCUJ0xN1iXW3RGAlCiJ5QIkGIjlgs/MJcnQkPBxoaaIwEIUQfKJEg\nREc8zdgghBC90eUy4l3B+fPA2rUc/vu/ac0Eck1REYfUVM/vCY7ju0H8rWT2P/7BYcMGrtOCXG11\n68awYQN9hgjREiUSGjl3Dli9msMzzzAEBGgdDdGLY8eAO+/0vF1MDMP584DRqHxMavr+e+Ctt+zo\n00fY9nfdZQAtYEaItqhrQyM2G39FuXu31pEQPTl9mkPfvp6389flxMvKOPTsKXz7yEiGmhrl4iGE\neEaJhEasVg5z5zJs2uRnbdNEkpYWCGqhSkjwzymgjY1AcLDw7WkGCyHao0RCIzYbMGYMw4EDnKAp\nf8T/1dfzC3IJYTYzlJb6XxIqdswHJRKEaI8SCY1YrXz/9qBBDD//rHU0RA88VbRsKyHB/06gLS2A\nQeQ3EpULJ0R7lEhoxGYDYmOBGTMYNm6kL0ICFBdzghMJs9n/EomqKiAuTlzzXGIi87vXgRBfQ4mE\nRqxWPpEYNQrYuZMSCcLXkOhssa624uOB8nL/et+UlvItDGJQ1wYh2qNEQiM1NRwiI4HAQMBkoqsq\nIq4YVWAg3xXgT8rKvE0k/CuhIsTXUCKhIcfAsmnTGDZvpi/Drq6ujk8uu6rSUg6JieK6NkJC+Jke\nhBDtUCKhAxMmAFu3UiLRldnt4mcsBAYCzc3KxKMFb1okCCHaU72ypcViwYoVK1BbW4uIiAgsWrQI\nvXv3brfN9u3b8cUXX7T+XlVVhSFDhuDZZ59VO1xVdOvGn0Rqa9Glr0i7srNngT59xF2N9+zJUF4O\n9OqlUFAq82aMBMB/dux28TM+CCHyUD2RWLNmDSZNmoSsrCzs2rULq1atwvLly9ttk5WVhaysrNbf\nFy5ciNGjR6scqXIuXQJCQ9vfduedDFu3Avfco01MRFveLNblmALqL4mE1cohNlZ8URWTicFqBeLi\nFAiKEOKRqjl8dXU1SkpKWpOCkSNHoqKiAlVVVW7vc+zYMVRXV2PEiBEqRak8fupn+y/MqVOpymVX\nJnSxrrb8bQqot60KiYn+WS6cEF+haouE1WqF0WiE4eq3BcdxMJlMqKqqgslkcnmfbdu2YcyYMQhw\nUzfYZrNh2bJlTrdnZGQgMzNTvuBl5Jj62VbPnoDNxqGpiSEoSJu4iHaOHQPuukvcfRITGUpKOHT1\nRasc5cJvuknrSAjRr/z8fBQUFDjdnpycLHnful7988qVKygoKMArr7zidhuj0YhZs2apGJV0Npvr\nVRszMxkKCoA2vTqkizh7lkOvXmKLMQEuvhd80pUrELx0eEfXyoV37YSKkM5kZma6vLjOzc2VvG9V\nuzZiY2Nhs9lgt9sBAIyxTlsjdu3ahT59+qCXv3QCX2W1ci4TienTGb74gro3uiLGvC0PrUw8arNY\nIHrqp4O/LmBGiK9QNZGIiopCUlIS8vLyAACFhYWIj4/vtFtj/PjxaoaoCldjJAAgLY0vk0yLeHUt\nNTX8cthixcTw3WH+gE8kvLuvv40VIcTXqD5hKjs7Gzk5OZg/fz4+/fRTPPbYYwCA1atXY8+ePa3b\nlZWV4eTJk8jIyFA7RMU5Fuxy5aabGH76Sd14iLa8mbEBiK87oWcWC+d1ImEyAZWVfvRiEOJjVB8j\nYTabnaZ7AvwUz7YSEhLwr3/9S62wVOVYsMuVadP42RvDhlGzRFchZrEuf2WxADfc4N17PiCAn/FB\nCNEGlXDRgKtZGw7p6cB339HVVVfCLx/u3Uk0PJyhvl7mgDRgsfBjHQghvocSCQ3U1XGIiHD9t4AA\nvsLhqVPqxkS0U1zMISXFu/v6y4BLi4Uf6+CtoCBac4MQrVAioZHO+renT6fiVF3JpUtAeLh39/WX\nRKK2VtqCZQkJjGZuEKIRSiR0KCsL2L6dEomuoKVF2hoRiYlAWRm9V/wloSLEF1EioUNhYUBYGMP5\n81pHQpR2+jTQv7/3A2sTE5nPl4dmDJKnPFMiQYh2KJFQWUMDP0DOk8mTgS1b6ErT3xUXw+vxEYCj\nRUK+eLRQUwP06CEtk0hMZLBY6PNCiBYokVBZZzM22po8meHLL5WPh2iruJhDWpqUFgnfX7CqtFTa\nQEuAWiQI0RIlEioTmkgYjUBDA4fLl5WPiWjH22JUDhER/PvEl5WVSZ/6SYkEIdqhREJlNhtf2liI\nrCyG7duVjYdoy2Lhunz9BIuFg9ksrWujRw+gutq3EypCfBUlEiqz2ThBLRIALeLVVchR6tqX12cp\nLZXeIuFP5cIJ8TWUSKiM79oQ9q3fvz9w5gxH5X/91PnzQHS09AzAaPTtGT5lZdLHSACUTBCiFUok\nVGazuV+wy5X0dIbvv1cuHqIdqTM2HHx9fEBZmTzdO926MdTWSt8PIUQcSiRUJnSwpcP06QwbN9Kl\nlj+SOmPDwdcTicZGIDhY+n5oOXFCtEGJhMrEJhI33QT89BMlEv6IX6xL+n6ohgIvIYESCUK0QImE\nyhoaOFHrKnAckJLCUFSkXExEG8eOcRgwQPp+fPkEarfLN7aBb5GghIoQtVEi4QNmzKDuDX905QoQ\nGip9P77cpF9ZCcTFyTPlJCHB98uFE+KLKJHwAZmZQH4+JRL+pKmJX/paDvHxQHm5b74/LBZ+jIcc\n/KFcOCG+KFDrAKS6cAH45z+V+xKdOJEhOlqefXk71z8oCIiJYXjvPU6WK1hXbruNoW9fZfZNnJ08\nCSQlyXMlHhQENDd7f3+bjf9fzGwiucidSPBdG/K8riUlQN++QKAC35JWK5CbK/x7q0cPhkmT5I9D\naZcu8e+vXr20joQoiVokOnHwIPDJJ/IlKfX1/BQ1b7z4IlMsibh8GXj+ed+8ovVV+fkcbr1VH1Wk\nVqzg8MEH2hx/i4VDYqI8r0NoKGQtKf/73xvw7bfy7a+tlSs5Ud0wy5cbUFOjTCxK2raNf67Ev/l8\ni0R0NDB+vDJfyCkpwObN8n0IxM7YaKtvX6BvX+VOPJ98YkBTE5OtuZ10butWDu++K9/xDAzkWyW8\nuXrOy+MwbJg2SU1ZGXDLLZo8tEcWC7BxI4dx4+R/bX78kcOWLXYYBF7KHTvG1x3R62vlTnExh+Ji\n+VqJiD5Ri0Qn5F5Z0WrVpvlYiIwMhoICraPoGmpr+W6uyEj59hkfz1BRIf5+x48DN97IcOaMNleN\npaXydW0A/AwQOSrBNjUBPXvyM2vkLj9+/DiQnMwEJxEAkJaGqydk31JcDJ+uukqEUT2RsFgsePrp\npzF//nw8+eSTOHv2rMvtTp8+jWeffRYLFizA/PnzsXv3bpUjBeLigMpK+T68YqtaqonW9VDP11/z\nY2/k5G3Su3Ejh7vuYpqVYa+q4mAyybc/k4nBapW+n1On+DEsw4Yx7NsnfX9tbdzIYfp0ccc/JYWh\nuFjeONRQWckhMVHeLieiP6onEmvWrMGkSZOwdu1azJw5E6tWrXLa5sqVK3jppZcwd+5cvPHGG3jj\njTdw/fXXqx0qDAZ5F0MSs2CX2tLSgKIi+a++iLPNmzlMnSp/IuHNjIUdOzjccQcQGalNeWnGIOrK\n3BO5qnw6ioVNm8awaZO8Cfa333IYPVrcfVJS+NYRX8IY/2/gQIYTJ7SOhihJ1USiuroaJSUlGH31\nUzRy5EhUVFSgqqqq3XY7duxAWloaBg0axAdpMKB79+5qhqoIMQt2qY3jgJtuYti/X+tI/FtTE38V\nLmdzPgCYzQylpeJONJWV/GyAkBBH07m8MWlBrimgRUUcUlMZ0tOB77+X7wTe9jUXIzycnwHhS6xW\nvkZIaqp/vLeIe4ITibVr16KhoUHSg1mtVhiNRhiuXoJwHAeTyeSUSJw9exZBQUF44YUX8Pjjj2PF\nihWo0WjIclAQXzhIDnru2gBoXQ817NwJjBolfzKZkCD+BPrllxymTOF/TklRvw/+yhV51thoKzFR\nfELlSnEx3yJhMPCDnE+dkiE48K/51Kne3ddgAFpa5IlDDUVF/PuKr8xL3yv+TPAY7/z8fDz//PP4\nzW9+g+zsbAyQo7avG83Nzdi3bx/+9re/ISYmBuvXr8ebb76JZ555xmlbm82GZcuWOd2ekZGBzMxM\nybEkJDCUl0OWGgtSZm2oIT0dePFFGmGtpI0bOfy//yf/62s2ix8jkZPD4a23+MERqakMn3+u7pd9\nWRlkm/rpkJgI/PST9P1UVHCIj+djcyTYjz8uPda2r7lY/fsznD4NJCdLDkMVx47xi9KlpgJr12od\nDcnPz0eBixH1yTK8oQQnEh988AHKy8vx1ltvYcyYMRg8eDAeffRRTHFc0ggQGxsLm80Gu90Og8EA\nxhiqqqpg6jDaKi4uDjfccANiYmIAAHfccQdeeOEFl/s0Go2YNWuW4BjEcgxikyeR4GA06vckHRAA\n9O7NX3317691NP6HMeDoUQ6DBsn/HoiJ4cfgCE0CGxr4bpaoKP53vkVC9rA6VVoKWZYPb0vOlVAd\na4BkZQFvvSU9kWho4Fc6dbzmYjm6CHwlkSguBm6/nX9vXrhAFyhay8zMdHlxnZubK3nfosZI9OzZ\nE0uWLMGGDRtw+PBhzJkzB2lpaYIDiYqKQlJSEvLy8gAAhYWFiI+Pd0okRo0ahePHj7d2pezbtw/9\nNTqzyVl29/JlICxMnn0pZcYM+QeXEd6BA8DQoUy2RaraErvPbdvQrj5CRAS/oJya+BYJefcpx0wr\nfpr2tdcmNBSIiGCtFUC9tW2btJo3qam+1UVQUsIhKena7zSQ238JTiQuXbqEd955B8OGDcOzzz6L\nV155BZWVlVi3bh0efvhhwQ+YnZ2NnJwczJ8/H59++ikee+wxAMDq1auxZ88eAIDJZMI999yDp59+\nGo899hgOHjyI+fPni3xq8jCbu9YSzVlZwDffdJ3nq6aNGzlMm6aPb9NNm5xjUbsPvrSUg9ks7+sR\nECD9OTjGR7Q1eTKwZYu0z4XU45+ays8m8RVNTdfGwCQmMloHxY8J7tro378/xo0bh7feegu3tCmv\nNmLECIwfP17wA5rNZixfvtzp9oULF7b7PSsrC1lZWYL3q5SEBECGlh+fERYGhIUxnD/PN0kS+Xz3\nHYc//EG5RCIsjKGhAR6XqW9u5ktT9+7dPpZ+/Rh++QXtriKVVFYGTJigzmOJUVzM9+23NXkyQ3Y2\nhzlzvNunu9dcDH65eN/oIug4kNbRLSN3CxTRB8EtEj/99BM2bNjQLolwePvtt2UNSk/kWqLZl5r1\npkyRfvVF2vvlF6BXL4aAAOUeQ+h7tbAQGDnS+Q2p9jgJi4WPWW5BQfxYBG8VF/OvRVsxMcClS5zX\nUzALC4Hbb5f2JaBEl5hSTpwABgy49nx9rVuGiCNq+qe1Tck4q9WKP/3pT4oEpSfduwMXL0r/ANTW\nAt27+0Y2MXkyw5YtWkfhX1x1JciNv2IVFouryoppaUzVKaA1NZysZcIdHDOtvFVSwrkc0JiVxbB9\nu3f7dPeaixUdzXyi5LSjoJeDr3XLEHEEJxKff/45YtvMXYyNjcW///1vRYLSE7muAvQ+9bMtoxGo\nr+eorK2McnM5jBun7GPwLRKdv2EZAw4d4jBkiPPftCgcpMRVttQ1chob4bJglLd1VhgDDh50/ZqL\n5SvFnRwFvRz69QNOnaIWCX8lqbJlc3OzXHH4PavVt8YcSLn6Iu1duACEhjLFZ+wkJjKPLRJHjgDX\nX+965gh/Albny95RPlkJUmZaNTbC7Qq4/foBZ85wogdzHjkCDB4sz2wdtVuNvNVxwKocg2CJfglO\nJAYOHIi//e1vsNvtaGlpwSuvvIK0tDQlY9MNOdYhOH/ed1okAFrES05ffcVh0iTlH0dIDYXOFoxS\nsw++tpYvFa0Eb8qFO5SUtO/b7+i22xi+/17cPr1ZpMsdLep9eMNm45yq+IaHA/X12sRDlCU4kXjt\ntdewefO/CAfzAAAgAElEQVRmhIeHIyIiAjk5OVi9erWSsemGHMuJW636XbDLlf79+asvrVaF9Cdf\nfglMmaL8+BghicSuXRxuv93936OiGC5ckDcuV+RePrwtb8qFO7ia+tnWtGniuzc8veZiDBgAnDih\n7wSfMddJaWoqw/Hj6sdDlCc4kTCbzcjLy4PVaoXVakVubi4S5C5Lp1NyFKXS84Jd7qSni7/6Iu1d\nuQLU1qqTREZE8GNb3CktBeLjGQI7mfSt1hWvEsWoHKTMtCoq4pCS4v5zOnQosH+/8BO5kNdcjNBQ\n+db+UUp5OdCzp7tZQfpOgoh3RI2RqKiowJ49e5Cfn48tW7ZgSxcZ2i9H37HeF+xyxZurL9JeXh4w\nZow+EkghMwfS0pgqy1WXlnKyr7Ph0KMHUF3t3XM4doxfCdUdjuNfo6IiYftTYrZOYCBf7Emv3LXq\npKYyn+iWIeIJTiTee+893HrrrZgxYwaee+45TJ8+HS+99JKSselGQoLnQWye+NKsDYdhw4CffqJE\nQoovvpCvf1wod4MYv/6ag6facWrNCrBYlGuRkDLWQ0gXpJjxQ19/zcledCs5meHkSXn3KSdXBb0A\n35lxQsQTnEj87W9/w969ezFgwADs3bsX27dvx8CBA5WMTTfMZjm6NpwHH+kdxzmWANY6Et9ktwOn\nT7uuSaCUmBjXYxwuXuRHzkdEdH7/AQOgSouEkokE4N2MEKH3ycgACgo8v0ZCX3Ox9H5CdlXQC+Br\n8tTU0IWJPxKcSAQFBSEmJqZ1ymdmZib279+vWGB6cq00rffczU3XuxkzqHvDW3v2ALfcom5rhLsB\nl1u3cpg0yXMsYWFQpX5IWRkn+8qfbXXrJn6mVWUlWpcO70xQED/eydPFhdDXXCw+udfvZ/LUKc7t\n6sEcBxrA7YcEJxKhoaGw2+0YOHAgVq9ejS+++AL1XWQujy8McFJKZiaQn6/fLy09k6uaoRjuEonN\nm4XPHAkKUr4PXunE2psBl0VFnc/YaGvqVIbNmzv/XIh5zcVIS9N3lciWFrgdXNqnD8O5c+rGQ5Qn\nOJH4n//5H9TU1ODll1/GF198gRdffBFvvPGGkrERHQgK4pvLpZQc7qr27uVw883qPiZflKr9Ca6x\nEbhwgUN8vLB99O/PcOqUAsGpyJspoMXF7asxdmbiRL7FwR2xr7kYJpP0pdKV0tCATguv6b1bhnhH\nUCLR0tKCgwcPIioqCgMGDEBubi5+/PFHjFO65q+OSGmS86UFu1yZNg0er75Ie8eO8YWN1F5oyVXN\nk/x84I47hL8Jlf6yt9uVL35lNoufadVxfYjOREbyn2t33Sc7doh7zcXgOGUrg0px/DgwcKD7wGjx\nLv8kKJEICAjA+vXrlY5F12JjGdqsWSbKxYt8oR9fNXEiQ04OffjF2LiRw4wZ6h9zVzVPxM4c4afp\nKXe8q6oAk0npBczEz7Q6edJ9374rEycyfP2167/JWc3Slbg477+PlHTsGNdpMkaLd/knwV0b48aN\nwz//+U8lY9E1KUVufHHqZ1vdu/NXkXV1WkfiO3bs4HDHHeo/bs+e/EBGB8aA48c5l6Po3VG6RUKp\n5cPb8ubz2tzsfp0NV6ZOZdi0yTnh8uY1Fys1FbqcTcWPM3GfQPXuzVfMJf5FcCLxzjvvYPbs2QgP\nD4fJZILJZEJcXJySsemK0CWaXfG1Bbtc6ezqi7RXUcG3QAUHq//YQUH8CdFh3z7g5pvFXRnHxwPl\n5cp92VssUHTGBiB+ptXly+IHfyYmAlVVnNPA1L17xb/mYindauQtTyXGDQZ9dskQaQQXbv3xxx+V\njEP3zGbHIDbxnwJfW7DLlWnTGP7wBw4zZ9K3gCdffslh6lSto+Bt3Ci+siLHKTuGwWLhYDYr+z4S\nO431+HF0WhrbnYwMhp07gTFjrt2mRDXLjlJTgV27FH0Ir9TUcB4XY3NMzY2MVCkoojjBLRL9+vVz\n+a+rkNYiwfncOhsdJSbyI8X1XJpXL3JyONx5p3bHOyDgWqvEDz9wGDFC/D6MRuX64NVokRDLXREl\nT1zVWdmzx7vXXIzkZKCkRF8tEkIHo6el0cwNfyO4RaK/i1FIHMfhpJ5rtcpIyMqK7litQN++8saj\nhVGjGHbtAkaP1joS/aqv50/iPXpoF0PPngwVFXztk759GQyiVtThOfrgR42SPz41xkgA12Y3CGld\nKS7mMHas+OQvLQ34+WcOjPEzdE6eBPr18+41F0ONWh9ilZYCvXp5fg0di3cNH+7bF1fkGsGJxKZN\nm1p/vnz5MtavX4/o6GhFgtKjuDjH3G3xb35fXLDLlenTGd5+m8Po0fQF4M62bcD48dq+Po7Ws127\nvJ854Fi8a9Qo+Z9LZSWn+KwN4NpMK5PJ87bFxcCCBeIfg+OAG29kOHCAXxlU6dkabQUH88miXirm\nCp0+m5rK8Pnn+mpNIdIITiQGDx7c7vfhw4fj1ltvxdKlS0U9oMViwYoVK1BbW4uIiAgsWrQIvXv3\nbrfNoUOHsHTpUvTq1av1tuXLlyNYi9FrVwUEeF9HwtdnbThcdx1w9Oi1qy/ibNMmDn/6k7aJhGMK\naF4eh/nzvYslNRV47z1543Kw26H4FTtwrRVRSCJRXc0hOtq712r6dL57Y+hQJuk1F2vgQIYTJ4Dr\nr1fl4TwqKnK9WFdHai1VT9QjOJHo6Pz586isrBR9vzVr1mDSpEnIysrCrl27sGrVKixfvtxpu759\n++LVV1/1Njxdsdk4xMT4/lW84+rr4EHgxhu1jkZ/mpv5qZdCmneVZDYz/Pgjh27dGEJDvdtHcjJw\n4oR3LXCeqJWEOhIJT+9VqbMIbr0VWLaMg9XKJL3mYjlOyHpJJIqLgcmTPW8XEQE0NCjz3iLaEHxd\ncMstt7T+GzZsGJKTk/Hwww+LerDq6mqUlJRg9NVO9pEjR6KiogJVVVWi9qOVoCC+9K1YTU3QZCqg\nEqZNE76Eclezaxdw++3afzkmJAD/93+coC91d4KDlemDv3JFXK0GKVyVC3eFH7Ph/XELCODHBqxd\nK+01F0tvU0DPnOHQp4+wbQ0Gfk0O4h8Et0i0bTUIDAxEUlISEkWuA2y1WmE0GmG42q7JcRxMJhOq\nqqpg6tD+eO7cOTz++OMICAjA+PHjMWnSJFGPpYSEBH7NCaEfFn80ciTw5z/T1YQrGzdymDdP+9eF\nLw8NTJ4sLRYl+uDLy/kTvBoSEwEhCxR7qn0gxPTpDA88YMCpU+otbZmaCvzv/6r2cB7Z7XxSJUS/\nfgy//AIkJSkbE1GH4EQiPT0dISEhrUmA3W7H5cuXEapAO15ycjLee+89hIeHw2azYenSpYiMjMQo\nF0PIbTYbli1b5nR7RkYGMjMzZY0rIYH/gu7KiURAADBiBMOMGQbBTdRJSQyvvqrMyeOJJzicPCks\nkJYWft7/73+vTCxFRRwGD9Y+kTAagccfZ5A6Fjo5maGkhB8bI5fSUvWmfroqF+5KUZHwxbrcGTsW\n+O1vpb/mYhiNwPnz0pP6v/+dw7BhTNICc3V1QESE8Dgc3TJSEolLl4AZMwwIDxe2fV0d8Oyzdowd\n6/1j+rL8/HwUFBQ43Z6cnCx534ITiaysLOTk5KDH1XltNTU1mDp1Knbu3Cn4wWJjY2Gz2WC322Ew\nGMAYc9kaEd7mnWE0GnHHHXfgyJEjLhMJo9GIWbNmCY5BCrNZ/IqCaixQpLalSxnEfHnddZdB1PZi\nnDzJ4fPPhV0FtrQA996rTCyM8Usn6+FYcxzw8svSn6NjXQQ5E4myMnWmfgJ8hc6KCs8n2mPHgDvv\nlPZYYWFQLFn2ROgUV3fWr+dw/Li0apxiFjwD+FlBBw9ymDTJ+8f85hu+q3XhQmH72LuXHwztzTRf\nf5CZmeny4jo3N1fyvgWPkbh06VJrEgEAUVFRqK+vF/VgUVFRSEpKQl5eHgCgsLAQ8fHxTonEhQsX\nYL86RaKhoQF79uyRJWuSKjGRiV5RsLoaXo8G9xdKlsQVs++AAOX6ZWtqgO7d/es4K7FSY2kpp1rX\nhtDjffo057N1Xhzdrd46c4Y/zgcPcpI+p/wS7MK3l2M9F7FTbWnBMOUIbpGw2+2oq6tDt27dAAC1\ntbVo8mI0VnZ2NlauXImPP/4Y4eHhWLx4MQBg9erVSE9Px4gRI1BYWIgtW7YgICAALS0tGDVqlC6W\nLE9MBLZvF3cfq9U/akhIERrKN0OGhcm734YGICxMHydvtYosqSk1FXj7bXn3WVYGjB8v7z6lEtO3\nrzeOLgJvu4sc5by//RY4etT7GSDFxRBVFpxf7t77bpmWFuDsWQ59+wq/f7duQF0dje9SguBE4je/\n+Q0mTJiABQsWgDGGN998E3PnzhX9gGaz2eV0z4ULF7b+PGXKFEyZMkX0vpXmTXVLfylGJYXZzFBW\nJv/AKm+ayR0VAeWeOVBWpr+yz1LFxvJTl+X84i0t5T9HavF0vOvrgfBw3z2xpKXxMze8LRKXm8vh\nH/9g6NGDr4Vx/fXe7Uds14bULsDvvgNuu018rBynXh2TrkRwIvHMM8+gZ8+e2LhxIwBgwYIFeOCB\nBxQLTI969OAL14j5YrXZ/KMYlRSOQapyJxLeDNzr2ZNvCu5QA02GWJRfiEorUvvg26qp4VTtAnI0\n/bs73mJPgHqTmsqPFfBGdTU/Myc8HLj9duDll71PGuvq+LolYkRFMVy4AK8GqG7cyGHWLPGx9u3L\ncOYM0IWWiVKFqLzswQcfxEcffYSPPvqoyyURgHdfpv6wYJdU/CBV+UchlpVxolskpKyZ0hk9LkQl\nh/h4ft0OuciZlAjhSGLdKS7mvFqsSy/69YPgWUsdffXVtcGOgYFAXBzz6rPR0uLdMfW2wiVjwIED\nHIYOFX9fOcZmEGeCE4lJkybBZrO1/l5VVYWpelkrWcdojIRjkKr8++WbycUlaUomEv42RgLw/S9e\nT1NA+RYJ3030AwO9H0D85ZfAlCnXnvv06QybNonPCM6cgaixCg6Obhmxior4+3qTvCgxgJiISCTK\nyspgbHNGNJlMKFXi7KBz3box1NYK3566NoTP5xerrEx8f7vZLKzaofhYOL9skfD2y96V2lr1Z7aY\nzZ3PtCoq8u2uDYDvmmhoEHefK1f4bqa2E+bGjwe+/lr8sfa2e8jbWRRffMFhxgzv15ChmRvyE5xI\n2O32drM0Ghsb0ehNvWgfJ/aKllokHCO05d+vNwP3HCtjyk1PqzDKSc4FltQeaAnwx7uzJLaujkNk\npHrxKGHgQIbjx8Xd59tv4TRAs1s3fhBiTY24fXlb0GvAAODYMfGJS0EB5/Xy9mYzcO4ctUjITXAi\nMXHiRNx///3YuXMnCgoKcP/99+tyZoXSxF5dnz/PISZGuXh8QbduQH29/B/ehgYOERHi7mM2K5NI\n+Kv+/YFTp+Q5dt60IEnlKBfuir8Ui+O7n8Q9kS++cF2D4c47GXJyxO3L2xLjYWHA5cvi7sOv5sq8\nnnVlMChb16arEpxILFu2DEOGDMETTzyBJ598EjfddJPL0tT+7tr8Z2Gam9VbpIh4FhUFXLgg79nD\nX05IrgQF8e9hOfDFqOTZl1CdHe+zZ4E+fXz/rMIv3iV8e7udTw4HDHD+29SpDJs3i3t8fsaSuPs4\nOKbnCrV5MyeqXoUr3bszXLwoaRekA8GJRHBwMJYsWYI9e/Zgz549mD9/PtasWaNkbLrEryiodRS+\nSc4rAW/3pcQJv6qKH/Hur0JC+IJiUlks6i3Y5dDZ8S4uhk/P2HAQOyD2xx+B4cNdH4f4eL4VVUyv\ntZS6DP37M5w6JXz7rVs5TJjg3WM5+PoAYj0SffhzcnJw7733IikpCfn5+UrEpGtKjfr3d1FRDNXV\n8u2Pn3/u3UlJ7qZNLfr+1ZSSwnDihPT98ImE9P3IpbiYQ1qa7yeAPXoAFy8Kz5A9lZa+4w4GoV/t\nFy8CPXp4/xqKOak7BrlLHdPiTVcQ6ZygROL06dN4/vnn0adPHyxZsgR5eXn45Zdf8Nlnnykdn+7w\niYTw1SapghpP7gRMykkpIoKhrk6+WLTo+1eTXFdwFov6XRsAP9PK1fGWY/lwvXBUbBRi716u05U+\np0/nq1wKIfU15LtlhD3W1q38GA6pUlMZzdyQmcfT3Lhx45CRkYErV65g69at+P777xEZGYloNdfL\n1ZHQUH6EvhAXLgAxMb5/xSMHPSUScg+4VHMhKi2kpMgz976xUZuZLe7ee2fPcujVS/14lNCrl7Ba\nLceP88vDd3aBw0+RFLaIl9jFulw9ltAkddMmDlOnSv+cDRzo3WwR4p7HRKKkpAR9+/bFoEGD0KdP\nHzVi8hs09fMafmyJfB9e/urWuy8VT1MCxeoKLRK+fAXnLpFgzH9aDIWekIWumDlsGMO+fZ73x7dI\neH9yj48Hyss9fy80NfHrvshRqyU8XJ4xP+Qajx+jkydPYunSpdi6dSv69OmDOXPm4LLYOTt+SEi2\nTgt2XaO/Fgk5kxr/TiSiox1rzHhPaLO7Elx1R9bUAJGR/tOKJLRw2I4dHO64w/P+pk0TVuXy+HEO\nAwcKidA1jhM2ALqgAMjIkO94BQTINxuJCEgkOI7DuHHj8OGHH+L48eMYMWIE4uPj0atXLzz99NNq\nxKg7sbEMVqvn7aiq5TV6SiQSEuQt2V1ZySEuTr796ZWUQapWKz//XwsJCc4zrfxpfAQgrEWispIf\nGCmkeyk9Hfj+e89n+IYG/gpfCqPR8/ep0JYUofr3Zzh9WrbddXmiGvZiYmKwcOFC7N+/H1988QUa\nxNZl9RNC+9hpwa5r+O4E+VoByss59Ozp3X35RcRkC6VLLEvMlxb3/v5arkXi6vN67Ji0vn296dMH\n+OWXzj9fX37JQWgNQYOBXz+js6mZzc38lb1Uqal8qXJ3GAN+/plDWpr0x3KQs2Ir8WL6p8PNN9/c\nJetIAMLLLNMYiWvkLGwESCv0pVTJbn8mdeaGlqujumoNk9q3rzdCKjbm5HCiZj14mr1x+jSQlCT9\nNUxLY50Ofty/H7jpJu8W6ersMWkKqHz8/DpKGUIXfqKuDX3iS/PK8yVy5QoQHCzLrnRN6qqJFgsH\ns1mbE3dYGHDpUvvYjx2DpL59PepsQcGGBn7AYlSU8P1lZQHbt7s/5nJ1D3lKUjdtkl7NUuxjEnEo\nkfBCQoKwK1pqkWjPYPB+yeO25GpSlQM/Y8N/rmzdkTpzQ8sWCVe8WadF71JS3B+jbduAcePEvU9D\nQ/maKzab6797u1hXR8nJwIkT7hOW3bs53Hqr5Idpp2dPebtauzpKJLwgtI/9wgUOXbTchkvx8QyV\nldL3U1nJ70sqOSpc6u0EqZS+fYHTp6W0SGg3RgLgZwY4jre/Fopz1H9wZeNG767qJ08GtmxxvU9v\nlw/vKDjY/Xobp08DvXsz2S8c/HVtHK2I/jjl5eVh8ODB6N+/P959910lYtK9uDigosLzO7GlBQgM\nVCEgHyG0JceT0lLpJ2+j0f2Vlhj+PvXTISBA2hTOykoOJpN88YjV9nifPs2P2vc37hbvam7mr757\n9xa/z8mTGbZscf23sjLvBzx3FBzsutDfxo0cZsxQ5ljFxMjzHUAEJBIXOyyTtmbNGnz33Xc4fPgw\nli9frlhgeib1S7WrErsEuztyFICSazqqln3/agsPZ6iv9+6+dru23VFtlxM/dsw/FuvqyN1MhMJC\nYORI796jMTH8+BJ3BZzkurJPTmYoKXG+fft2DllZ8jxGRzRzQz4eE4np06fjk08+af09ODgY+/bt\nw969exEscpSZxWLB008/jfnz5+PJJ5/E2bNn3W7b2NiI7OxsPPHEE6Ieg+iX2cxELcHuDr9ssbST\nt3yJRNfo2gB8u8Jl22qmRUX+sVhXR926AfX1zp+vTZuk1WDIymLYvr39bTabvOX/Xb23zp8HwsIY\nwsJke5h2PM0WIcJ5TCS2bt2Kn376Cffccw8sFgteeukl/P3vf8drr72Gv//976IebM2aNZg0aRLW\nrl2LmTNnYtWqVW63Xb9+PVJ1PNE7MNB9vx6grwGBeiFXaeqyMuknb7lKdmvd968mb1dNbGz0fqqu\nXNomsf5WjKqtjgOaGQMOHuQwZIj3+3Q1DVTu19DVrKAtWzhMnizfYzg/JrVIyMVjIhEaGoply5bh\n+eefx4MPPogtW7Zg3bp1+PTTT3HLLbcIfqDq6mqUlJRg9OjRAICRI0eioqICVVVVTtseOXIEZWVl\nGDNmjPBnorKEBIbycvd/P3+eFuzqSK7FsuQ4ecvVInHxIofu3aXvxxekpLjug/eET/y0/Sy0rf1i\nscizZoMe9enDcObMtd+PHAEGD5ZWg6FfP+DMGa5dgsIv1iVvi0TH99aWLfwYDaUMGMCX+CbSeUwk\nWlpa8OWXX6KyshI5OTlobGzEnXfeiZ9//lnUA1mtVhiNRhiuDpfmOA4mk8kpkbh8+TLefvttLFiw\nQNT+1eZp4CDVkHBmNPLVPqWyWjnJ02rlLNndVUaAe3sFp4fun47H21+PWccuArlKS992G8P331/7\nXa4ZGw6xsfyiXA6XL/PdNEpOnw8JEb6SM+mcxzkFv/71rxEVFYWGhgZ8+umnePPNN/GrX/0KixYt\nwtChQ7FkyRJZA3r33XcxZcoUxMTEoFTAEH+bzYZly5Y53Z6RkYHMzExZY2vL0xRQqiHhTEj1PaGk\nngji4x0zb6jVSKjISKCuTvxrpofuH8fxvnCBITraf495WhrD4cMcJk7kn+OuXRx+/3vpz3faNIZ/\n/YtrHbR5/DiHAQPkfx0Z4z/b27fzYzOU5ph6qnXXmxry8/NRUFDgdHtycrLkfXtMJEpKSrB//34A\nwNChQwEAffv2xb///W98+OGHgh8oNjYWNpsNdrsdBoMBjDFUVVXB1GFO2NGjR7F3717885//RGNj\nI+rq6vDoo4/i9ddfd7lfo9GIWbNmCY5DLomJjhKrrt/s1CKhb4GB0otj1dQA3bv770nJFY4Tv7aI\nxcJh0CBtXyfH8S4u9s8ZGw4pKcCnn/I/l5by9VbkmII+dCjw7LPXvu8aGyFo8S8x4uMZKir4YlEb\nN3J45hnl3zNJSfxsETnX8dCrzMxMlxfXubm5kvft8S3Wr18/PPzww2hoaMCIESPa/e3+++8X/EBR\nUVFISkpCXl4exo4di8LCQsTHxzslEqtXr279+dChQ3j33Xfx6quvCn4ctSQmAt9+6/7vVisnS9Ek\nfxMSwjdbhoZ6d/9Ll4DQUH28rl2lhkRbffownD3LF6gSqqwMGDtWuZjEKC72zxkbDvw0V/6EL3W2\nRlscx7d2FBXxlSiVuIJ3dJ3FxfELkKlR68PxmF0hkVCSx0Ti448/xtatWxEcHIzx48dLerDs7Gys\nXLkSH3/8McLDw7F48WIAfPKQnp7ulKjomaeFn6xW4Lrr1IvHV/CzJYCkJO/uL+fJ2zHzxtsvxa6Y\nSDi+eMUkEqWl+nidAgP5wYdz52odiXLadh9+/TWH9evlOxlPn87wxRd8gajkZPlP8o6FtIKDGdLT\n1Un2UlMZdu+mLk6pPCYSQUFBmDp1qiwPZjabXRaxWrhwocvthwwZosvWCIBf/Ka6uvOuDRoj4cwx\n6E0PiUTPnnxTaq9e3sbC6eIEqabUVIaff+YwYYLwL96LFzn06KH9F3VCAsPOnRxeeEH7WJTUvTs/\ncyMgALKuJ5KRAbz6Kt+io0T3UEoKkJfHl2K/+261EgngvfdUeSi/5ocV59XhabAfjZFwjU8kpK0i\nKdfJW2rJbv5K279PSh15W5RKD7MkEhL4adnedqv5itRUYNUqDpMmyfveDAriS43v2CHv1E+H/v2B\nkyc57NvHYdgw2XfvksnEl28n0lAioZALFzhRS/Z2FY6uDW/xLRLyfIlJLdktR6luX9OrF3D2rG9+\n8ZrN/rd0uCtpacD//R+HKVPkP9lPm8bwzjucImMKgoKA8nK+XolaiSfHtV/QjXiHlpSSICKCoa6O\nL03bkdZrC+hVYiLw1Vfe399iAaZMkScWs5ldLUjj3bcIX9ioa30DGQz8iP1//lPYN31TE9Ctmz5e\no8RE5rcVLdtKSWEYPJhDfLz8+544kZ8GrFRra2IiZBsgKlRcHENVFT/I01uNjcDevcBtt8kXly+h\nFgkJ5Cxq1FVIfc3kHCMhtWT3lSv+30zuyosvCl+xLigI+OMf9ZFIZGYCixfrIxYlDR4MvPuuMqsK\nRkYC27fbFWsxePllO64WP1ZNSgpQVCRtHzt28DU7uipqkZDA0TTuz/PS5RYZCdTWet8KUFfHyXaF\n23ZFSCLc8OHA8OG+d0IODdW+MJYaAgL4KZpKUfL7Tsm43XEs3pWZ6f17euNGDgsX+t5nQi7UIiEB\nPwXUOQttaoIsRWCIsqKjgfPnvbuKsNv1MYCQECKN1MW7GOMrfXblC0pKJCRwN3CQn/rZdbNTT7wd\n3OQonytnHN7uz2oFTCY6xoT4uqQkoKTE+y+WvXuBm2/u2t8FlEhI4K6/n6Z+dq5HD4aLF8Xfr7oa\niIrSxwe2tLRrNJMT4u+CgoDmZu/vL2cFUV9FiYQE7hIJWrCrc94uJ67E4k/h4Qz19eLvxy+NLW8s\nhBBtOEr3e2PPHg633CJvPL6GEgkJwsKAy5edm8SoRaJzCQneJxJyn7y9nUVSWsrBbO7aVyGE+IsB\nAxhOnBB/v5MngX79mKhF7PxRF3/6yrBaOcTG0knGHbOZeVXd0mKR/+TtbSJBLRKE+A9vK7Zu3Miv\nPdLVUSIhg44DB6lro3PelqYuLVWqRUJ8UkNjJAjxH6mpDEVF4r8Htm/nMGaMAgH5GEokJIqNZbDZ\n2t9GC3Z1ztvS1EqUpE5I8K5kd2UlB5NJ3lgIIdrwZgqo1QpERjKEhCgTky+hREIiV03jNEaic3xF\nSfHZf1kZJ3uLhLcDP6kEOiH+IyaGXx9JjC1bONnK9fs6SiQkcjVwsLqaQ48e2sTjC4KD+dr0YjU1\n8eQfNG8AABVXSURBVFO15ERlzgkhDmLq22zZAtlXWPVVlEhI5GrgIGPo8qN4fUV4ONDQIO5K5MoV\n+RMaQoi2EhKY4C7XS5f4GXvR0crG5CvodCeRtwMHuzqDAWhpEb59S4t+uhLKy+VbypwQog9iZm58\n8w0wbhx9BzhQIiGR2SxtBcmuKj6eX7pXqMpK/j5KEFuyW4l6FoQQbaWlCZ+5sXEjh2nTKJFwoERC\norg4oKLi2puvsZGavYXgFzwTvr0SUz8dYmIYzp8Xvr0SFTYJIdpKSRE2c6OlBTh3jkPfvsrH5Cso\nkZAoMLB9Ez0/Y4MyVU/ETgEtK1Pu5C125obFwlHXBiF+pl8/4PRpzy0Su3cDt95Kn/+2KJGQmdVK\nUz+FSExkLpdgd6e0VLmTt9iS3RaL/PUsCCHa6nhR6A4t0uUsUO0HtFgsWLFiBWpraxEREYFFixah\nd+/e7bYpKirCm2++CQBobm5GSkoK5s+fjxCdVv4IDLw2NZGKUQmTmAjs2SN8+7Iy4LbblInl2swb\nYV8OlEgQ4p/CwoCGBn42lyuMAfv3c/jLXyiRaEv1Fok1a9Zg0qRJWLt2LWbOnIlVq1Y5bdO/f3+8\n+uqreO211/D666+joaEBX331ldqhCtazJ0N5Of8ztUgI480YCaVO3mJn3lCdEEL8U0oK63Tmxs8/\nA9ddx8CJr6fn11RNJKqrq1FSUoLRo0cDAEaOHImKigpUdRi+HxISgoCrc/2amppw5coV9NDxN3fb\noka0YJcwsbH8ayUU/7oqE4s3M2/oi4QQ/8NPAXX/4d64kbo1XFE1kbBarTAajTBcrdbEcRxMJpNT\nIgEAlZWVeOyxx/DAAw8gJCQEY3S8MkrbgYNWK19ulXTOYODLTAvFmHIn7/h4oLycMgNCurqUFIai\nIvd/37mTw6hR6sXjK1QfIyFUXFwcVq1ahcuXL2P58uX45JNPcM899zhtZ7PZsGzZMqfbMzIykJmZ\nqUaoMJvZ1SyWn0ZIXRu+JTAQaG4Wtm1tLb9QDyHE/6SmAq+95vpvFgtgMjGfnd6fn5+PgoICp9uT\nk5Ml71vVRCI2NhY2mw12ux0GgwGMMVRVVcHUyTKKoaGhuOOOO/Dtt9+6/LvRaMSsWbMUiliYhARg\nxw7+ZxojIVxICHD5MhAa2vl2ly553kYttHw4If6rRw+gttb1wOvNmzlMneq7FxGZmZkuL65zc3Ml\n71vVro2oqCgkJSUhLy8PAFBYWIj4+HinRKKsrAzNVy8Rm5qasHv3bqSmpqoZqihtBw5evMihe3dt\n4/EViYnCatvzy4cr+wEW2ipRVkZVLQnxd666Xb/+msOECerH4gtU79rIzs7GypUr8fHHHyM8PByL\nFy8GAKxevRrp6ekYMWIEjhw5gs8//xwGgwF2ux3Dhg1z2a2hF9HRjiVo+ZMdDcQTxjFItX//zrdT\nY7plz54MFRWeWxv4YlTKxkII0U7v3gznzgF9+ly7rbaW/z8yUpuY9E71RMJsNmP58uVOty9cuLD1\n53HjxmHcuHFqhiUJJQ7e4RMJz/Ub1Dh5O6aAekokSkuBkSN9t3mTENI5x+JdbROJrVuBiRPpc+8O\nVbaUmZjFn7o6vhCU5+34tS2UfWGFTgHlu1kUDYUQoqHUVOfFuzZvpkW6OkOJhEzCwxlsNv0MCvQF\nQktTq7HaptCS3dS1QYh/S01tv3hXUxNfx6ZnT+1i0jtKJGRiNgOHD9OCXWIIXSxLjTESQhcREzLL\nhBDiu/r0Ac6cuXZRUVAAZGTQ93pnKJGQSUICcOCActUX/VFkpGOqVefq6jjFBzmJLdlNCPFPHYvl\nbdzIYcYMSiQ6Q4mETMxm4NAhWrDLV8XEAOfPd57U2O00sJaQrqBbN4baWn7MW1ERh7Q0rSPSN0ok\nZJKQwHDoELVIiMVY5wNUPf1dLhzn+XGsVr6yHSHEv6Wl8TM39u8Hhg6lz7wnui2R7WtojIR3evRg\nqKmB29U0L14EoqL08ZrS8uGEdA0pKUBxMYfjx0GLdAlALRIySUgALl/maMEukczmzscmqFmSOjyc\noaHB/d8pkSCka0hNZSguBr7/nkN6utbR6B8lEjIJD+evnKlrQ5yEhM5nS6hZkrrtcvCu8FM/6eqE\nEH+XkgJs28ahd2+GgACto9E/SiRkZDbTgl1imc2d128oLeUUL0bl4GnmBrVIENI1dOvGf96pW0MY\nSiRkNHMmQ7duWkfhWzwVpVKjGJUDX0vCfVJDiQQhXcfs2QxZWVpH4RsokZDRkiWMpgeK5Kk0dVmZ\nemMkEhM7L9ldWckhLk6dWAgh2nrpJYawMK2j8A2USBBN8WMk3GdfZWXqlab1NEaipQXUX0oIIR1Q\nIkE0FRwMNDa6/3tTE7+NGjwlEoQQQpxRIkHIVRERQEOD69aRxkYgKEjlgAghxAdQIkE0x3Hta9s7\ntLTwde/1oLycr15KCCGkPZ18TZOuLC6OobLS+fbKSv5vanJXkru0lGZsEEKIK5RIEM25G5ugxXTL\nmBiGCxecby8ro0SCEEJcoUSCaE5PiYS7kt1qFsYihBBfQokE0Rxfv8F5kKMWJandlexWs1Q3IYT4\nEkokiOb01SLhumS3mouHEUKIL1F9GXGLxYIVK1agtrYWERERWLRoEXr37t1umwMHDmD9+vW4dOkS\nOI5Deno65syZo3aoRCV6SiQSEoAjR5xvr67m0KMHdW0QQkhHqrdIrFmzBpMmTcLatWsxc+ZMrFq1\nymmbyMhIPP3001izZg1WrFiBw4cPY8eOHWqHSlRiMgFVVc6tAFYrp/oiaO5KdnMcqPw5IYS4oGoi\nUV1djZKSEowePRoAMHLkSFRUVKCqqqrddklJSYiPjwcABAUFoX///qioqFAzVKIig8H1lEvG1K8j\nER8PlJc7Zwyu4iOEEKJyImG1WmE0GmG4enbgOA4mk8kpkWjrwoULKCwsxPDhw9UKk3RhQUFAc3P7\n22prgW7dKJMghBBXVB8jIUZDQwNefPFF3H333UhKSnK5jc1mw7Jly5xuz8jIQGZmptIhEpkEBwNX\nrgAhIfzvly9f+1lrFgsNtCSE+Lb8/HwUFBQ43Z6cnCx536omErGxsbDZbLDb7TAYDGCMoaqqCiaT\nyWnbhoYGLFmyBLfeeitmzJjhdp9GoxGzZs1SMmyigsREhrIyoF8//ne+AJQ2rQABAXyrRGDgtVho\n6ichxJdlZma6vLjOzc2VvG9VuzaioqKQlJSEvLw8AEBhYSHi4+OdEolLly5h6dKluPnmm/HrX/9a\nzRCJRhIS2heCKi3V7uQdH8/QdkgOX4xKm1gIIUTvVO/ayM7OxsqVK/Hxxx8jPDwcixcvBgCsXr0a\n6enpGDFiBDZu3Ijjx4/jypUr2L17NwBg1KhRuPfee9UOl6gkMbH9bImyMk6zktQJCe27MywW4NZb\naYwEIYS4onoiYTabsXz5cqfbFy5c2Przfffdh/vuu0/NsIjGzGaGQ4c4APwJu7QUuPFGbU7eZnP7\nuhY0RoIQQtyjypZEFzqWptZyXELHkt0WC0djJAghxA1KJIgudFwsS8uS1B0rbV6+DISFaRMLIYTo\nHSUSRBciI4GammutALW1HCIjtYnFXcluQgghziiRILrQsQS1luWojUbAZuMDYIxKYxNCSGd0XZCK\ndC2M6aMUddvEwWoFYmN1EBQhhOgUJRJEN3r0YKit5ZMJvay0STM2CCGkc5RIEN1ITOQHWTKm/vLh\nHYWGMly6xCcSNGODEELco0SC6IajKJUeEglHLQmLhdOsVDchhPgCSiSIbiQmMpSWclcTCW1P3o6S\n3XxhLE1DIYQQXaNZG0Q3HKWp9dCdwLeOcFcXD9M2FkII0TNKJIhuXOtO0H6Ao9nMUFoKVFRwiI/X\nNhZCCNEz6togusGXyea7NhIStO/aKCsDWlr4ZcUJIYS4RokE0Y2QEODKFf7n4GBtY3HMICGEENI5\n6togxIVu3YDqag5BQVpHQggh+kaJBNEVg4H/pwc2m/ZdLIQQonfUtUF0xWRiulnbokcP7WePEEKI\n3lEiQXTFbNbPIllmM9N89gghhOgdJRJEVxIS9JNIJCZqXxiLEEL0jhIJoiv33qufE/eCBQxGo9ZR\nEEKIvulkWJv3bDab1iGoIj8/X+sQVHHoUD6io7WOgmc2A6Ghyuy7qxxPep7+p6s8167yPK1Wq+R9\nUCLhIwoKCrQOQRX0PP0LPU//01Wea1d5nnKcQ1Xv2rBYLFixYgVqa2sRERGBRYsWoXfv3u22qays\nxIoVK3Dq1CkkJibi1VdfVTtMQgghhAigeovEmjVrMGnSJKxduxYzZ87EqlWrnLYJDw/H3Llz8dRT\nT6kdHiGEEEJEUDWRqK6uRklJCUaPHg0AGDlyJCoqKlBVVdVuu27dumHQoEEICQlRMzxCCCGEiKRq\nImG1WmE0GmG4WrqQ4ziYTCanRIIQQgghvsHnp3+GhIRgzZo1TrcbjUbExsZqEJEykpOTkZubq3UY\niqPn6V/oefqfrvJc/e15Wq1WlwMr5Wj5VzWRiI2Nhc1mg91uh8FgAGMMVVVVMJlMXu/zd7/7nYwR\nEkIIIUQMVbs2oqKikJSUhLy8PABAYWEh4uPjJSUShBBCCNEOxxhTtZRgaWkpVq5cidraWoSHh2Px\n4sXo3bs3Vq9ejfT0dIwYMQJNTU34j//4DzQ1NaG+vh5RUVHIysrCnDlz1AyVEEIIIR6onkgQQggh\nxH/4fGVLQgghhGjHZ2dtCKmQ6S8efvhhBAcHIzg4GABw7733YtSoURpHJc1bb72FH374AZWVlXj9\n9dfRp08fAHytkRUrVqC8vBxBQUFYsGABrrvuOo2jlabtc129ejX69u0LAHj22WdhtVoRHh4OABg7\ndiymT5+uZahea2pqwl//+lecO3cOISEhiI6OxoIFCxAXF+d3x7Sz5+pPxxQAnnvuOVRXV8NgMCAk\nJASPPPIIUlJS/O6Yunue/nY8HT788EN8+OGHrd+9ko8n81H//d//zb755hvGGGM7d+5kTz31lMYR\nKefhhx9mv/zyi9ZhyOrIkSPMarU6PbeVK1eyDz74gDHG2LFjx9hvf/tb1tzcrFWYsnD3XJ999ln2\nww8/aBiZfBobG9mPP/7Y+vvmzZvZc889xxjzv2Pa2XP1p2PKGGP19fWtP+/evZs9+uijjDH/O6bu\nnqe/HU/GGDtx4gRbsmRJu+8jqcfTJ7s2hFbI9CfMz4ayXHfddTC6WKN7165dmDJlCgBg4MCBiIqK\nwtGjR9UOT1bunivgP8c1KCgIN998c+vvKSkpKC8vB+B/x7Sz5wr4zzEF0HolDgD19fXo0aMHAP87\npu6eJ+Bfx7OpqQlr167FggUL2t0u9Xj6ZNdGZxUy/XUq6SuvvAKA/9J68MEH0b17d40jkl9NTQ3s\ndnu75xYXF+fXCeI777yDdevWoXfv3pg7dy569uypdUiy2LRpE9LT07vEMXU8Vwd/O6avvvoqDh06\nBLvdjpdeeslvj2nH5+ngT8fzH//4B8aMGYO4uLjW2+Q4nj6ZSHQ1f/nLXxAbG4uWlhasX78eK1as\nwJIlS7QOSzUcx2kdgiKeeOKJ1uqrX375JV588UWXVVp9zUcffYTy8nI8+uijuHz5sstt/OWYtn2u\ngH8e0yeeeAIAsH37dixbtgx//etfXW7n68e04/Ncs2aNXx3PoqIinDhxAvPmzWu9rbPWFjHH0ye7\nNtpWyAQgS4VMPXO8kQMCAjB9+nQcOXJE44iU0b17d3Ach5qamtbbKisr/f64AsCUKVNQXl6Ouro6\nDSOS7rPPPsN3332HpUuXIjg42K+PacfnCvjnMXXIyspCRUUFGGN+e0yBa8+zrq7Or47n4cOHcfbs\nWTzyyCN45JFHYLVasXTpUhw/flzy8fTJRKIrVci8cuVKuzdufn4+kpOTNYxIfm2z4ttvvx1ffvkl\nAODYsWO4cOGCT48G78jxXFtaWnDhwoXW23ft2oXo6Gh069ZNq9Ak+/zzz1FQUIAXXnihXZ+zPx5T\nV8/V345pQ0PD/2/vfkLh6+I4jn/uFRl/m0gjKRaiJvn5vzFlpSwslGxkY6SsrJX8WWCDxaSkJkIh\nNUshGwsSCyULdialTFGEyDQ8Cz3Tw2P4dfH4zTzv13Lu7c75dhbzmXPOPefF2Qzb29vKyMhQWlpa\nTPVppDqTk5Njqj+bmpo0MzMjr9crr9erzMxMDQwMqLy8/NP9GbUbUkXaITPWnJ2daXh4ODz64nA4\n1NHREfWhaWJiQru7u7q8vFRqaqpsNpsmJyd1eXmpsbExBQIBxcfHq7OzU06n86eb+ylv1erxeNTd\n3a1gMCjDMJSeni632628vLyfbq4l5+fnamtrk8PhkM1mk/S8KHFkZCTm+jRSrYODgzHXp8PDw3p4\neJBpmrLb7XK73crNzY2pPo1U59+v88ZKf77W3t6u3t7e8Oufn+nPqA0SAADg50Xl1AYAAPgzECQA\nAIBlBAkAAGAZQQIAAFhGkAAAAJYRJAAAgGVskQ3gXXl5ebLZbEpMTAx/trCwoKKioi/7Dr/fr8rK\nyqg/rwH4PyJIAHiXYRjy+XxRu3MhgO/F1AaAD721b51pmurv71dZWZkKCwu1uLgYvra6uqry8nKV\nlJSotrZWh4eH4WvT09MqLS3Vr1+/VFlZqZOTk/C1vr4+VVRUqKCgQCsrK99bFIAvwYgEgHc9PT2p\nqakpPLVhGIZ2dnYkPR8kt7e3p+PjY1VVVcnlcik+Pl6tra3a2NiQ0+nU/Py8mpubdXBwoI2NDQ0N\nDWlra0tZWVm6v7/X09OTAoGALi4uVFFRoYGBAa2tramrq0v19fU/WTqA38AW2QDelZ+fr+Xl5X9N\nbZimqdPTU2VnZ0uSGhsb1dzcrJSUFHk8Hq2vr4fvtdvtOjw81OjoqNLT09XT0/PiWX6/X8XFxbq+\nvpYkXV1dKTMzU8Fg8JurA/BZTG0AsOz1/xDTNGUYRsT7DcN4c5pE0ovFnHFxcQqFQl/TSADfiiAB\n4EORfvynpqYkPY8obG5uqqamRtXV1drf39fR0ZEkaXFxUbm5uXI4HGpoaNDs7KwCgYCk5yOc7+7u\n/psiAHwL1kgA+NDrNRIej0eS9Pj4qLKyMt3e3mp8fFw5OTmSpLm5ObW0tCgUCslut2tpaUmS5HK5\n1NPTo7q6OhmGoYSEBPl8vvBz/+m9kQ0Afw7WSACwxDRN3dzcKCkp6aebAuAHMbUBwBJGDABIjEgA\nAIBPYEQCAABYRpAAAACWESQAAIBlBAkAAGAZQQIAAFhGkAAAAJYRJAAAgGUECQAAYBlBAgAAWPYX\nMt2HB7clKPAAAAAASUVORK5CYII=\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2b795eec>"
},
{
"html": "<h2>Learning Rate 10</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2c01edec>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\nBest accuracy 0.875\nNumber of epochs: 44\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmYAAAE0CAYAAACGgv/rAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3XdYFFf7N/DvLFWaIE2lqIANxIZiRRIrJrYnifmpiRG7\nYmLyphhN05hoiiWPSVSwx6hR82iMRoNii8aGYKPYAAtFEZAiKnXP+8fKSllgZ3dmd3a5P9eVKzI7\ne86ZmbOzZ2fO3DfHGGMghBBCCCF6J9N3AwghhBBCiAINzAghhBBCJIIGZoQQQgghEkEDM0IIIYQQ\niaCBGSGEEEKIRNDAjBBCCCFEImhgRgghhBAiETQwI4QQQgiRCBqYEUIIIYRIBA3MCDEwL7zwAj7/\n/HN9N0Nvbt++DZlMhpSUlFrXCQ0Nxfjx40Vtx2effYYXX3xR1DoIIQ0PDcwIMTAcx4HjOH03Q9Jo\nHxFCDBUNzAgxcqWlpfpugs4xxkBpgAkhhogGZoQYoKdPn2LChAmwsbFBy5Yt8fvvvytfO378OGQy\nGSIjI+Hr6wsrKyvk5+cjMzMTr732GmxtbdGkSRNMmTIFT548AQD88ccf8Pb2Vpbxyy+/QCaTISoq\nCoBicGdtbY1z584BAFq2bInly5dj9OjRsLGxga+vL44dO1Zrezt37ozvv/++yrJdu3bBxcUFcrkc\nOTk5GD16NBwdHWFjY4POnTvj7Nmzde6D2NhYdO7cGY0aNcKAAQOQlpZW67p1bTuguD388ccfY/r0\n6bCzs0OrVq2wY8eOKmX8/vvvaNGiBWxsbDBhwgQUFRXV2T5CCNEEDcwIMTCMMURERKBNmza4ePEi\npk2bhjfeeAPJyclV1vvqq6+wYcMGxMfHw8rKCuPHj0d6ejpOnDiBffv24cSJE/h//+//AQD69u2L\nW7du4d69ewCAkydPwtHRESdPngQAXLhwAQAQEBCgLP/777/HyJEjcfnyZQQFBeHNN9+s9ercmDFj\nsHPnzirLduzYgddeew0ymQyff/45Hj9+jJMnTyIuLg4LFiyAubl5nfvh008/xdKlS3Hu3DmUlZXV\nOaesrm2vEBERAV9fX1y6dAmhoaGYOHEisrKyAADJyckYN24cpk2bhosXL6J169ZYs2YN3S4lhAiP\nEUIMSnBwMOvVq1eVZX379mUffvghY4yxY8eOMY7j2IkTJ5SvX716lXEcx65evapcFhkZyczMzFhB\nQQFjjLH27duz7du3M8YYa9OmDfv6669ZcHAwY4yxJUuWsP79+yvf27JlSzZr1izl3/fu3WMcx7GE\nhASVbU5OTmYcx7Hk5GTGGGOFhYXM2tqaHT9+nDHG2PDhw9lXX32l1vbfunWLcRzHIiIilMuSkpKq\n1D9hwgT25ptvqr3twcHB7OWXX1a+XlZWxqytrdn+/fsZY4zNmTOnxj7v2bMne/HFF9VqMyGEqIuu\nmBFiYDiOQ2BgYJVlgYGBuH79epVlXbp0Uf77+vXrsLW1Rbt27ZTLevbsibKyMuWVtqCgIJw4cQKZ\nmZnIzMzEzJkzERMTg9LSUpw8eRJBQUFVyvf391f+29XVFQDw4MEDlW328vJC9+7dlVfN9u3bh8aN\nGyM4OBgAMHXqVCxevBj9+vXDV199hRs3btS7HyrvA29vbzg4OFTZBxVXs9TZdo7jqmyPiYkJnJyc\nlNtz/fp1lfuc0Tw2QojAaGBGiBFgjNW4rWZlZcWrjIqB2cmTJ9GnTx80adIEPj4+OHfuHE6fPl1j\nYGZmZqb8d0Xdcrm81vLHjBmjnLe1Y8cOjB49Wvna8OHDkZKSgvHjx+PChQvo2LFjjVuf1Ql9G7Hy\n9lSUX7E9quqiQRkhRAw0MCPEwDDGEB0dXWXZ+fPn0bZt21rf07ZtWzx69AhXr15VLjtz5gxMTU2V\nk/6DgoKQmJiIPXv2oF+/fspl4eHhyMvLQ69evbRq9+jRo3HlyhXExsYiMjISY8aMqfJ606ZNMXXq\nVPzxxx+YPHkyfvnllzrLq3gQAVDMAcvNza2yDyoGTupse33atm2rcp/THDNCiNBoYEaIAYqPj8fi\nxYtx48YNfPPNNzh79iymT59e6/rt2rXD4MGDMWnSJFy4cAGnTp3C7NmzMWnSJNja2gIAWrRogebN\nm2PHjh3Kq2NBQUHYvn07unbtyvsKXHXu7u7o06cPQkND0bRpU/Ts2VP52vz587F//36kpKQgJiYG\np06dqnLrUZXly5fjyJEjuHz5MiZPnozg4GD4+vpqtO2snvAaU6dOxfnz55X7fNGiRUhISNBwTxBC\nSO1oYEaIgeE4DtOnT0diYiK6du2KiIgIbN26tcrVH1VXcjZv3gw3NzcEBwdj2LBhCA4Oxg8//FBl\nnX79+sHc3Fw5n6pv376Qy+U1bmNq6v/+7/+QmJiI119/vcpyMzMzfPjhh/Dz88OwYcPQo0cPfP31\n17WWw3EcFi5ciPfffx89evSATCbD5s2bq7xeeR/Ut+31BaT19vbGli1bEBERga5du+LatWuYNm2a\nJruAEELqxDGaKEEIIYQQIgl0xYwQQgghRCJM9d2AykpLS/Hdd98hLS0NFhYWcHBwQFhYGFxcXJCX\nl4cffvgB9+/fh5mZGcLCwlTOJyGEEEIIMVSSupVZWlqKK1euKKOL79+/H+fOncPChQuxYsUKuLi4\nYOzYsbh58ya+/fZbrFmzBiYmJnpuNSGEEEKIMCR1K9PMzKxKypc2bdrg/v37AIBTp07h5ZdfBgC0\nbt0a9vb2SExM1Es7CSGEEELEIKmBWXX79u1Djx49UFBQALlcDjs7O+VrLi4uyjx2hBBCCCHGQFJz\nzCrbuXMn7t+/j7fffhtFRUUq16nt8faIiAgUFxfXWO7o6AhHR0dB26kLOTk5BtluVYxpWwDaHikz\npm0BeGxPWRmQnAzUEXBYCozp+BjqtuTk5CAnJ6fGcgsLizrjIhJxSXJgtnv3bpw9exZff/01zM3N\nYW5uDo7jUFBQoLxq9uDBAzg7O6t8f3FxMWbNmqXLJotq0aJFNaKkGypj2haAtkfKjGlbAB7bc+IE\nZFu3Qn7mjPiN0oIxHR9j2hYAWLlypb6b0KBJ7lbmnj17cPLkSSxcuLBKpPE+ffpg//79AIAbN24g\nNzeXnsokhJBquOho4NncXEKI4ZHUFbPs7Gxs2LABTZs2xaeffgpA8UDA0qVLERoaiuXLl2P69Okw\nMzPDBx98AJlMcuNKQgjRr9hYwMcHKC0FqiVmJ4RIn6QGZk5OTti7d6/K1+zt7bFw4UIdt4gQQgwL\nV1AA1qaN4qqZh4e+m0MI4YkuORFCiLFITwdr3hxwcwPS0vTdGkKIBiR1xUwohvh0TF2ESiAtBca0\nLQBtj5QZ07YAam5PdDTQowdgbg5kZIjfKC0Y0/Expm0B+H2HHj58GGVlZSK2xniYmppi4MCB9a+n\ng7bonJOTk76bIKh+/frpuwmCMaZtAWh7pMyYtgVQb3u46GiwsWOBrCxw8fGQTFoXFYzp+BjTtgD8\nBmZlZWUYNGiQiK0xHlFRUWqtR7cyCSHESHCJiYCfn+JWpsSvmBFCVKOBGSGEGIPycoAxwMSE5pgR\nYsBoYEYIIcYgIQHMz0/xb1tbcIWF+m0PIUQjNDAjhBAjwEVHgwUG6rsZhBAt0cCMEEKMQXQ0UH1g\nxqQ8/Z8QogoNzAghxAhw6emKuWXPMCcnIDtbjy0ixHgcOXIEZjrKpEEDM0IIMXQFBWC2tlWXubvT\nAwCEGCAamBFCiKGLjQW6dau6rHlzCplBSDVlZWVYsGABvLy8YGNjA39/f+zfvx/Xr1/HsGHD0LRp\nUzg5OWH48OG4ffs2AOD27dsICQkBoMjfbWZmhl9//RUA8Omnn6JFixawsbFBmzZtsHbtWq3baJQB\nZgkhpCHhzp0D6927yjLm7g4uLU3SQWYJ0bUvv/wSmzZtws8//4xOnTohKSkJcrkchYWFGD16NJYv\nX46ysjJ8/vnneOONN3Dq1Cl4enpi+/btGDNmDNLT0wEAdnZ2+P3337F9+3Zs374d7u7uSElJQX5+\nvtZtpIEZIYQYOO7CBbB33qm60M1N8UAAIQQA8PTpU/zwww/49ddfMXLkSABAy5Ytla8HBAQo/71y\n5Up4eHggLS0N7u7usLe3BwC4uLgo10lLS4OPjw969eoFAPDw8BCknTQwI4QQQ8YY8PgxYG1ddTkF\nmSUSMmsWh/R0Tuty3NwYVq7U7DpwUlISiouLERwcXOO1/Px8fPbZZzh8+DAyMzMhl8sBAKmpqXB3\nd1dZ3iuvvIIffvgBHTp0QEhICEaMGCFIei4amBFCiCFLTQXz9Ky53MkJXHY23cokkqAYTEm3N370\n0UeIjo7GDz/8gJYtW6K0tBRdu3ZFaWlpre9p0aIFrl27hsjISBw6dAijRo3CW2+9hf/+979atYUm\n/xNCiCFTFb8MADiO4pgRUomPjw8sLCxw/PjxGq9FR0dj8uTJCAkJQbt27ZCXl1fldVNTxXUsVu0z\nZWVlhVdeeQXh4eFYs2YNNmzYoHU76YoZIYQYMC46GmzCBH03gxDJa9SoEd5//3289957kMlkysn/\njDF4eXlh165dGDhwIHJycjB37twq7/V8dlX6wIED6NGjB2xtbbFz504wxtC9e3eYmJhgz549aNeu\nndbtpCtmhBBiwLhr14BavgyYrS1QUKDjFhEiXfPnz0doaChmz54Nf39/fPjhh5DL5ViyZAkYYwgM\nDMSsWbOwYMECcNzzOXGtWrXCnDlzMHnyZDRr1gw7d+5E48aNER4ejt69e6N3797Iy8vD1q1btW4j\nXTEjhBBDVVqquGVpYqL6dXd3ID0dsLPTbbsIkSgTExMsXLgQCxcurPHaP//8U+XvkpKSKn8vWrQI\nixYtqrJsxIgRgreRrpgRQoihiosD8/ev/XUKMkuIwaGBGSGEGCguOhqsR49aX68IMksIMRw0MCOE\nEENV2xOZFdzcFLcyCSEGgwZmhBBioLgHDwBX19pXoIEZIQaHBmaEEGKI8vLAGjeue52mTcHdv6+b\n9hBCBEEDM0IIMUQxMUC3bnWvY2ameHKTEGIwaGBGCCEGiDt3Dqyu+WWEEINEAzNCCDFA3MWLQNeu\n9a9obg4UF4vfIEKIIGhgRgghhoYx4OlToFGj+ld1c6NYZoQYEBqYEUKIobl1C6xVK/XWbd6cnswk\nxIDQwIwQQgwMV1/8ssrc3cHRwIwQg0EDM0IIMTT1RPyvjFXkyySEGAQamJE6zT8+H4+KH+m7GYSQ\nSribN4HWrdVbmW5lEqK0YcMGBAQEoHHjxvD29saCBQtQXl4OACguLsbUqVNhb28PLy8v/Pbbb2jR\nogU2b96sfH9KSgpGjhwJe3t7eHp64t1338XTp08FbSMNzEidtidsx9HbR/XdDEJIhZISwNQUkKl5\n+qbo/4QoMcawdOlSXLlyBatWrcL69euxdu1aAMC3336LqKgo/PHHH9izZw82bNiAhw8fguM4AEBJ\nSQleeukltG3bFufPn8fu3bsRExODjz76SNA2mgpaGjEqj0seo0mjJvg76W+MbDtS380hhADA5ctg\nnTqpv76VFbgnT8DEaxEh9Zp1YBbSH2n/A8HN1g0rX1qp8fsnT56s/HeLFi3w9ttvY9euXZgxYwbC\nw8OxePFivPjiiwCAVatWwdfXV7n+jh07YG9vj++//165bMmSJRg0aBB++ukn5QBOWzQwI7W6mn0V\nQ32G4kzaGTDGBOt0hBDNcdHRFFiWGBxtBlNCOn36NBYuXIirV68iPz8fZWVl8PT0RH5+PrKzs9G1\nUmzA1q1bw9bWVvl3fHw8Ll++DHt7e+UyxhhKS0uRnp4Od3d3QdpItzJJreKz4uHn7IcOzh0QnxWv\n7+YQQgDg/Hmge3d+75HJgGfzaAhpqB49eoQRI0bA29sbv//+O2JiYjBnzhyUqpm2rLCwEEFBQbhw\n4YLyv4sXL+LatWto2rSpYO2kK2akVgkPEjC5y2Q4WDogMikS/i7++m4SIQ0el50N5uzM6z3M1RV4\n8ABo1kykVhEifdevX0d+fj6++eYb2NnZAQBSU1MBAI0bN4azszMuXLiATs+mCty8eROPHj1/+K1T\np07466+/4ObmBgsLC9HaSVfMSK2ScpPg08QHfTz64N/Uf/XdHEJITg6YgwP/99EDAITA09MTZmZm\nWLVqFVJSUhAREYG9e/cqX58xYwYWLlyI48eP48qVK3j77bdhaWmpnMYzbtw4mJubY+zYsYiJiUFS\nUhL++usvfPzxx4K2kwZmpFbl8nKYykxhYWoBS1NL5Bfl67tJhDRsmtzGBGhgRggAFxcXhIeHIzw8\nHF26dMGRI0cwZ84c5etz587FwIEDMXLkSIwcORJvvfUWrKyslFfHbGxscOTIEZibmyMkJAQBAQGY\nP38+mgl8JVpytzIjIiJw/vx5PHjwAD///DM8PT0BAHl5efjhhx9w//59mJmZISwsrMrTEkRYD58+\nhEOj57/MB7QagCO3juCV9q/osVWENGxcdDTYkCG838fc3cElJ9OTmaTBe+utt/DWW29VWfbBBx8A\nAMzNzbF27Vpl+IzU1FQ8fPgQXl5eynU9PT2xfft2UdsouStmQUFB+O677+Di4lJl+S+//IJ27doh\nIiIC7777LpYtW6YMCkeEl5CVAD9nP+XfId4hiEyO1GOLCCHcpUtA587830hBZgmp182bN7FlyxYk\nJSUhOjoaoaGhaN++PQICAnTaDskNzHx9feHo6Fhj+alTp/Dyyy8DUDzCam9vj8TERF03r8FIyEpA\nB+cOyr89G3sitSAVjNFvbkL0gjFFcFlNJh1TWiZC6iWTybBq1Sp069YNI0aMgIODA/7++2+dt0Ny\ntzJVKSgogFwuVz5FASjuFWdlZemxVcYt4UEChnoPrbKsk2snXHlwBZ1ceQS3JIQIIykJzMdHs/fa\n24N7+JBuZRJSB29vb5w+fVrfzTCMgVltagt4mp2djUWLFtVYHhQUhH79+mlW10cfKfLTCYi1bg22\nZImgZQrlTv4deDb2rLLdc57mIPfpX5A1UfHl8Pgx5B99BAweLFgb1N7nItSttoMHIVu6FLC21n3d\nPEi5r1XgvvgC7OOPhduXjx9DNnIkYGMjTHn6VtHPNdEQgkOLcbz1eW5R1+PHis/OsmW833rixAmc\nPHmyxnJvb28hWkY0ZBADMzs7O3Ach4KCAuVVswcPHsC5llg+Tk5OGDNmjHANYAzctWuQ79snXJkA\nZMOGKW4NSuykWXG7kgOqbLdNeQlCf38Ne8fsqfmmmzfBrVwJJtQJjM8+F7puHrgDByBfvRrQ9EqG\njki1rykxBm79erBBg4CgIGHKjI0FGzgQbO5cYcozBlLuA9oS43jr8dyitthYgGdcuwr9+vVTebEi\nKipK21YRLUhujllllecz9enTB/v37wcA3LhxA7m5ubp7KvPuXbBnT4cKiXl6As+C20nJ/cL7aGbT\nrMZ2m5uYw8rMCnlFeTXf5OMDLilJuEbw2edC180Dl5wMGMCvS6n2NaW7d4HGjcFFRwtWJBcdDdaj\nh2DlGTrm4ADkqfjsGglRjrcezy3qon5ufCQ3MFu9ejUmTpyInJwcfP7555g+fToAIDQ0FFevXsX0\n6dPx448/4oMPPoBMppvmc9HRgBi56QIDAQG/iIQSnxUPPxc/lds9yGsQDqccrvkmjgPMzYHiYkHa\nwGufC1y32oqKFBOxDeEKhET7WgUuOhps5kzFr3+hxMYCOn6aStKMPZaZGMdbX+cWPqifGx3JDcxm\nzpyJjRs34o8//sDmzZsREREBALC3t8fChQsRERGBn3/+GX5+fvWUJCCRkgazwEBBrxAIJf5BvOKJ\nTBXbPcR7SK1hM1jnzsClS8I04tw5Xvtc0LrVdekSWCfDeBBCqn1NKToabOBAcAUFghXJFRQAlR4Y\navCMfGAm1vHWy7mFB+7RI+rnRkZyAzMp4q5dA9q2Fb7gdu3AXb0qfLlaqohhpmq73e3ckfEoA3Im\nr/E+FhgI7tw5QdrAXb/Oa58LWbe6uHPnDOcWgkT7WoWKvsaaNQMyMrQvMD0drHlz7csxIszNDZyx\nDsxEPN76OLeoLSND8ZkhRoUGZvUpLQVMTQExbpvKZICJiaIOCcl8nAkXc4dat7tz0864nHm55hu7\nd1ekjNGWJvtcqLr50DQ9jj5ItK8BULTJxETRRqFuuUZHA4YyaNYVNzcgLU3frRCHmMdbH+cWdYk1\nzaaBmjRpEiZMmKDvZtDArF5XroB17Cha8axjRyAuTrTy+ZIzOWScDFxcXK3bHeIdgr+TVATdc3QE\nl5urfSM02edC1c0Dl5cHNGmi0zq1IbW+plTpeAt1y5UTafqBQXN3F+ZqpASJerz1cG5RF8dzykdD\nN2DAAJiZmcHMzAwWFhZo2bIl3n//fZSUlAAAVqxYgZ9//lnPraSBWb3EPsFLbe7P7bzbaGXfqs7t\n7uXeC2fSzqh8jTk5AVoG/tV0nwtRt9qyshT1GRCp9bUKVY63nx+4hATty0xMBHQ5D9UQuLiAu39f\n360QhdjHW6fnFh64hATq5zy99957SE9Px+3bt7Fhwwb88ccfyrintra2sLW11XMLaWBWP7EvFUvs\naTlljsw6ttvMxAy25rZ4+PRhzReFuOyv6T7X5S0HQ7yFILG+plR5X5qaKmJtaZMHt7xcUYaJiTDt\nMxYmJoC85txQg6eL4y3F25kVnxFTgwhHKhnW1tZwcXFBs2bN0L9/f/znP//BpWcPd1S/lfntt9/C\n398fdnZ2aN++fY2radu3b4efnx9sbGzg7u6OmTNnCtJGGpjVg8vO1jh4n1pcXMBJ6JdY/IN4xcT/\nera7trAZQlyV0XSf6/KKkEHeKpNYX6vAZWUBLi7Kv5mvL6BNHtyEBDC6itBw6OB4S/JqM/VzjVSO\nj3r37l0cPXoU3bp1A6DIJlQ5o5ClpSUiIiIQFxeHr776Cp999hkiIxVRCe7du4cpU6bgyy+/xNWr\nV/Hnn38Kluychtp1yc0Fs7cXvRrWuLEi8KMO6qpPQlYCZnmPq3e7h3gPwWfHPsPrfq9XfaFTJ3CL\nF2uek0+bfa5t3TxwV66AffqpDmoSlpT6GgCVx7viS5D5+2tUpEEOmnWlUSPg6VPF/42ETo63Ds8t\n6jK0fs7NmiXIU8HMzQ1s5UqN379kyRKsWLEC5eXlKCoqwqBBgzBv3jxF2YxVGbi99957yn+3aNEC\nR48exa5duxASEoKMjAxYWFhg6NChsLa2hoeHBw3MdCImBng2khZVt26KugYOFL+uehQUF8Au/ka9\n293ctjkyH2cqHxZQMjcHysoUt0w0eZJVm32ubd3qkssV9Zibi1eHWCTU1wAo2lL9ydbAQOCrr4DJ\nkzUrMzoamD9f+7YZIVYRy0ziKcR40cXx1tW5hQ8D6+ds5UpJDGynTp2Kd999F3K5HLdu3cKHH36I\n999/Hz/++GONdQ8cOIDvvvsOSUlJePz4MUpKShAcHAwA6Ny5Mzp27IjWrVtj6NChCAkJwahRo2Bm\nZqZ1GyXSw6RJV0+8SCVOTml5KUxlpmpvd9emXXHh3oUay1nr1oCGCd+5s2e12ufa1K22GzfA2rQR\ntw6RSKWvVVDZ19zdtfplzWVkKEJDkJqMMMgsl56uk+Otk3MLD9TPNePg4AAvLy/4+Phg0KBB+Pzz\nz7FmzRoUFRVVWS8lJQWvvfYaBgwYgH379iE2Nhbjx49XPsFpYmKCI0eO4LfffoOrqyvmzZuHoKAg\nlAoQkogGZnXgLl4EunQRv6IuXRR16dmNhzfQxrGN2ttdaxYALeZjcJcuabfPdTDw4M6dM7yJ/xUk\n0tcq1NbXmI0N8OgR/wIfPVK8l6hmbEFmCwrAdPUUnZR+1FA/FwzHcSgvL1cOuCrmmF28eBFWVlb4\n4osv0LVrV3h7eyMlJaXKHDSZTIbg4GAsXrwYZ86cQWxsLC5fVhHjkycamNWGMUV+NEtL8etq1EiR\nd5Hp90JvwoME+Dn5qr3dPd174lx6zRMVCwwENDmBCbDPmS6ePDSwuR1VSKSvAaj7eAcEaJY3MyaG\n8gbWgRlbkFkd5onUyblFXZQfU2OFhYW4f/8+7t27h1OnTmHx4sUICgqC3bO0VhVzzLy8vFBQUIDN\nmzcjKSkJixYtQmylc9K5c+fw3Xff4eLFi7h9+zY2b94MS0tLtGjRQus20sCsNikpYN7eOquOeXkB\nt27prD5VErIS0PWJvdrbbSozRWOLxsh+kl31hVatwGmyLULsc03r5oG7fRto2VLUOsQkhb4GQHG8\nvbxUvqTpLVeDSpOlD0YWZFanx1sH5xZ1aTvloyFbsWIFPDw80KJFC4wZMwb+/v7Ytm0bgKpPZXbp\n0gVfffUV5s6di8DAQKSmpmLatGnKcho3bozjx49j6NCh6NixI37//Xf873//g7MAURxo8n8tOF3H\nqap4Eq2WLypdSMxORJsiL17bPdhrMKJSojC2w9jnCzlOo6e/BNnnGtattidPACsrRT2GSgJ9Dajn\neAcEgFu1ivdkYe7CBbB33tG6bUareXNw6emSmIQtBJ0eb7HPLXyaQv1cI0eOHKnz9fXr11f5++OP\nP8bHH3+sct127drh779VZMARAF0xq42Ob1dJ4TJ5UVkRzGMv8druId5DcDD5YI3lrEsX4ELNBwPq\nJNA+16hudV24oCjfgEmhrwGo+3jb2ACFhfxuuTIGPH4MWFsL0z5jZGGhuH1sDPRwvEU9t6jdCOrn\nxo4GZrXgkpJ0+0h569bg9PjEz5PSJ7Ays+K93a42rsh6kgU5qxpRnPXowfsBAKH2uSZ1q4uLjjb8\nW2V67msVuJs3gdata32deXjwmw+Vmgrm6SlAy4hB0MPxFvPcojbq50aPBmaqFBcr4tbo8nYVxwFm\nZsCzJ0N07Wr2VfjbtdFou7s164aYjJhqC5/Fy1JXcbFi+4XY53zr5kNXse3EpOe+BkC9zxjfK3uG\nmCZLH0xNFTG5DJ0+jreY5xZ1UT83ejTHTJXLl8E6ddJ5taxTJ+Dy5ZoBN3Ug4UECej+01mi7Q3xC\nEJkciUAIMgwlAAAgAElEQVS3SicLe3tw+fnqz2W5dAmsc2fedavEt24euIICRfR8A6fPvgZA8Rmr\n53izwEBwv/4K9uqrahXJRUeDVcpzR1RjTZsC9+8rHgQwYHo53iKeW9QltX5uamqKqKgofTfDIJiq\nmdeUBmYq6CvVhTIVjT4GZlkJGHLbHCywD+/3BjYPxKKTi2osZy4uQGYm4OpabxlC73M+davt/n0w\nIcvTI332NUDN492+PbirV9X+EuSuXQNr107rthm9ipAZhj4w09PxFuXcwoPU+vlAqWQRMSJ0K1OV\n6Gj9XEno3l1vk7JvPrwJ1/hbGm23icwEDo0ckPW4WoJsPreizp8Xdp+LMcHdmG4h6LGvAVDvM2Zi\norjVqc5tt9JSxbomJsK0z5i5uRl+yAx9Hm99PjxD/bxBoIGZCtzDh4Cjo+4rdnICl5Oj+3oBlMpL\nIcvN03i7h3gNwaGUQ1WWVVyVUYfQ+1yM1EO6StGlE3rsa4D6x5v5+wPx8fUXGB+vcdLzhoa5u4Mz\n9CCzcXF6O956TWtG/bxBoIFZddnZYPoYlD3DmjQBdPyFmfs0F+4ljbTa7sHeg2uGzfD3B3flSv1v\nFmOf+/uDi4sTtEguPh4wopOiPvoaAF7HW90vQQosy4MRXDHT69PRIpxb1GVUPw5JrWhgVt358/q9\nXRUYqGiDDiVkJaB/lrVW2+1i7YKcpzkol5c/X2hmpoi5U15e+xsBcfa5unWrq7xcUZ6akzcNgh76\nGgB+t63VvW1kTLeZxWYMaZn0ebyFPrfwQf28QaCBWTX6mvhfgc/tP6EkZCWg850Srbc7sHkgzmdU\n/aJn7doB167V+T6x9rk6davt6lWw9u2FKUsi9NHXAJ7Hu2lTcJmZ9Zf54IHeJmMbHDs7cAUF+m6F\nVvR9vAU9t/DAPXgANG2q83qJbtHArBru8mVAD6EylDp1UrRBhxKyEuB+K0fr7a4Im1GZOl/+Yu1z\nIQce+h6wi0IPfQ14drx5hEZhdnZAfn7tK+TlGUUIE6ImCRxvvfyokcB2E92ggVlljCmeejE3118b\nLCwUgT/5pKLR0u3cW7CCmdbb3a1ZtxpXzOq9FSWXi7fPhXx6yhhvIeihr2n0GasvqKcxBP3VNY7T\n7XEXkhSOtz6ezJTCdhOdoIFZZTdvgtWRIkZXmI8PkJSkm7oYQ/P7j+tMjaMuE5kJnKyckFlY6daT\nhwe41NTa3yTmPq+vbh44I4j7pIou+xoAjY53fQ8A0IRo/pijo34e/BCAJI63gOcWdUliu4lO0MCs\nEk4qV0V0eJk883EmAtOYYNtdI2wGxwFWVoqkuyqIus/rqVtthYWKhMG6TNGlKzq+JaPR8e7aFdzF\ni7WXefEi0LWrli1rYNzdDfYBAEkcb6HOLXyqlMJ2E52ggVllEplHxHR4mTwhKwHd0uSCbfdg78E1\n45l17QrExqp+g8j7vM661RUbqyjHCOmyrwHQ7HhbWQFPn6q+9cYYUFQENGokTPsaiubNDTNkBmOK\nviCB4y3IuUXtyqifNyQ0MKuES0kBWrXSdzMALy9wyck6qSr+QTzcs0sE224nKyfkPs1Fmfx5tHbW\no0etV2W4W7dE3eesRw+tg0EadYwsHfY1QPPPGGvRArhzp+YLt2+DtWypfcMaGIMNMnvrFpgUztEQ\n5tyiNurnDQoNzCo8fQpYWkrjdhXHKSZmFxWJXtX11EuwsXUSdLt7uPXAufRKJ6yAANW/LHWxz2ur\nmwcuNlZRjjHSYV/T6njXMriXzPQDQ2OgV8wkdbwFOLeoizt3TjrbTURHA7MKFy+Cdemi71YosS5d\ngDrm1QjFJvEmzLv3FLTMEJ+QqlkA7OzAPXpUc0Vd7PPa6uajsBCwtRWmPRKkq76GixfBeITJqKzW\nW676jABvyAx1jpmUjrcQ5xZ1SWm7iehoYPaMXlN8qFDX7T+hyJkcbZPzAYG3O6BZAGLvVf0lyZo3\nB9LTqyzT1T5nbm416lZbWhqYET6NWZku+hrw7Hj31PBHQJs24K5fr1nmjRuCPFFsCHZd3YVdV3cJ\nU5iTE7isLGHK0iHu5k1JHW+tzi08SG27ibhoYFZBajFiunevO3aTAO7k30GXtDLBt1vGyeBi7YJ7\nj+49X6jqisf587rZ59pMcJfSrROx6KCvAdDuMyaTKdJhlZQ8X1ZSolgmM/7TGGMMay6swdoLa8GE\niD8mkxleHDMpHm9dPDwjxe0moqIj/QyXnw/Y2+u7Gc/Z24PLyxO1ioQHCXAuNRdlu0O8Q3Aw5fnt\nTFWRsnW1z7WJ0m2UEf+r00FfA7Q/3qxjR+DKlecLLl8G02eWDh06efckerj1QPfm3fFv6r/6bo5+\nSPB46yQDgAS3m4iLBmYA8OABmLOzvltRA3NyAkS83ZBy4ywsm3mIUvYgr0GISol6vsDPD1xi4vO/\nMzPBXFxEqbuG6nXzwCUmAr6+AjdIesTua0J8xqp/CTaIQfMz4bHhmN51OqYHTEd4bLggZTIbG0BX\nc6QEIMnjrcW5RV2S3G4iKhqYAdK9XSXyZfKys6dh07e/KGU3adQEBcUFz8NmmJgobp2Ulyv+1uU+\nr163usrKFE8QmpiI0y4pEfuWjBDHu3obz59X3IY1cnfy7sBUZgo3Oze427lDxslwN/+u9gW7u+tk\nfpRgpHi8NT238CHF7SaiooEZpPuLROzL5O5X09Gozwuild/TrSfOpJ1R/s38/ICEBAC63+eV61Zb\nQoLifQ2A2H1NkOPt7AwuO/t5mdnZgASvdAstPDYcM7vNVP49M2CmMFfNDCxkhlSPt0bnFh6kut1E\nPDQwA8BduQL4++u7GTV17KhomwhKy0vhlVoo6nYP9RmKyKRI5d+Vv/y5uDid7nNNBh5SHbCLQsS+\nBgj3GWP29kBuLvDwIZiDgwAtk7YnpU9wKfMSero9f5q1l3svXLx/EU9Kn2hVtkEFmc3JkezxFvVH\njYS3m4iHBmZyueIytJmZvltSk5mZ4naaXC540Uk5N2BrYiXqdndu2hkX71eKj1VxK0of+zwwEOAb\npbshBXUUsa8Jery7d1fc2mkgt3e2xW/DGx3eAFcpKC/HcRjXYRx+i/9Nu8KbNzecWGZSPt6anFvU\nJeXtJqIxqIFZRkYGPvroI8yYMQMffPABUlNTtS/02jWw9u21L0ckrF07QEX8Jm2lnouCvG0bwcut\nTMbJ0MymGdILns1jcXMDl5Ghn31eUTcP3L17ii+vBkKsvoZr1xRlC6AiDY5Rp8l6hjGG3xN/x2jf\n0TVee933dexM3Kld6Ax3d4O5lSm1OJNVaHBuUZekt5uIxqAGZitXrsTQoUMRHh6OV155BT/++KPW\nZUr+dpVIl8mfnv4HFn2CBS+3uhCfamEzbG3BHTmil33O7OyAggL1Vi4oUKzfkIjU1wT9cuncGdyl\nS+AuXwY0zCJgKI7fOY4+Hn1gYWpR4zULUwv0du+NE3dPaF5Bs2aKHx8GgLt0SdLHm9e5hQepbzcR\nh8EMzPLy8pCcnIwXXngBANC7d29kZmYiS9tH/KX6ROYztaai0ZL1xXg0GzBS8HKrG9hqYNWwGQEB\n4Fav1s8+55PbTmoBh3VArL4m6GfM0hIoLlYE3bSoOWAxJhGxEZjaZWqtr0/rOk27hwDMzIDSUs3f\nryuMSf94i5E30xC2m4jCYAZm2dnZcHR0hOxZ9GOO4+Ds7Kz1wIxLTQU8xInlJQhPT3B3BXg0vhqH\n7EI0aiXurUwAcGjkgMKSQpSWK74AWGCg4pelHvY5CwxUJANWA3funLSvpIpBpL4m9GeMeXuDeXsL\nVp4U3cq7BUtTSzSzbVbrOs1sm8HCxAK38m7psGV6kJQE5uOj71bUic+5RW0GsN1EHKb6boAY7txM\nwBf/XQpLU8sqy/s9+68y1q6dIlaVVHEcWLt2kI0aVe+qmY8fICU3BSay+uNuFXl56my7e7v3xum0\n0whuEQwEBIBNmqSffR4QAG7hQnBnz9a/bmEh2OzZ4rdJSnj0NT7U+YwVlRUh9M9QzOs7D51c645y\nzl56SW+f2V1Xd2HthbU1zi2qWJlZYcOIDWqtW93qmNUI6xZW73ozu81EeEw4vhv4He86AEWoB6GP\nt+AeP4b8o4/03Yq68Tm3qEsH233ixAmcPHmyxnJvI//hI3UcEyTxmvjy8vIwY8YMbNu2DTKZDIwx\nTJgwAcuWLYNztRgvO//ciYvWF/H1i1/rqbX68daet7Bs0DI4W0sr5s2l+5ewI2EHvhnwjb6bQiRI\nzuSYuHcihngNwYZLG7B51GY0t5XeQxeMMYRsC8Gf//enWoOtg8kHsS1+GzaO2AgZp/7NicKSQvzf\nrv/D/rH71Vr/5d9exs5Xd8La3FrtOgipS1RUFEJCQvTdjAbLYG5l2tvbw8vLC8eOHQMAnD59Gq6u\nrjUGZQBgY26Da9nXdN1EvSqXl+Ph04eSG5QBQCfXTriUeUnfzSASteCfBejj0Qfj/Mdh9curMWnv\nJBSWFOq7WTVU5KtU9wrYEO8h6O3eG1/+8yWverbEbcF4//Fqr/+m/5vYGr+VVx2EEOkymIEZAMya\nNQuRkZGYMWMGdu3ahdm13GoykZmgqKxIx63Tr+iMaAS6SXNOFMdxcLd1R2q+AOFNiFHZeGkjisuK\nMa3rNABA6yat8WnQp5i8bzLK5SKmudFARb5KPqYHTEdRWRE2Xd6k1vqMMey+uhuvtH9F7Tpebf8q\n/pf4P+1CZxBCJMOgBmZubm5YsmQJwsPDsXz5cnjUMaHYxtwGj4oNJ0GvtiKTIhHiLd1Lz9XDZhBy\n9NZRHL51uMYt7iDPIIxqOwofHZbOvKI7eXdgIjOBm50b7/d+M+AbRKVE4djtY/Wue+TWEfRr0Q/m\nJuZql29uYo4gzyAcvX2Ud9sIIdJjUAMzPvyc/ZCYnajvZuhMzL0YdGsu3fAOA1sNxOGUw/puBpGI\nxKxELD2zFGuHrVU5/2psh7Fo0qgJfor+SQ+tqyk8NhwzA2bWv6IKMk6GtcPWYsnpJUjMqvuctObC\nGuXVQz6mdZ2GNRfWaNQ+Qoi0GO3ArINLByRkiZdYVkruF96Hs5UzrwnGutbYsjGelj1FSXmJvptC\n9CyzMBPvRL6DjSM2wsrMqtb1Pu37Ka5kXsG+G/t02LqaKvJV9nLvpXEZVmZW2DhiI96JfAeZhZkq\n17n58CZszW3hYu3Cu3xXG1fYmNkgOTdZ4zYSQqSB1zf511/XfMpR1TIp8HP2Q8KDhjEwO5R8CEO8\nh+i7GfXq49EHp1JP6bsZRI+elD5B6N5Q/BTyE1xtXOtcl+M4rHxpJdZdXIfYewIH7+RBVb5KTbja\nuOKnkJ8QujdUZQLy1TGrEda9/hAZtQnrHoZV51dp00RCiATwGpjt2rVLrWVS4O3gjaTcJH03QycO\npRzCYK/B+m5GvUK8QxCZFKnvZhA9kTM5pv41FXN6z4Gvs69a7zE3McemEZsw98hc3M0XPvhtfRhj\n2JmwU2W+Sk34Ovvio14fYepfUyFnzxPGPyp+hJsPbyKgWYDGZQc0C8CNhzca1NxaQoyRWgFmo6Ki\ncOjQIWRkZGDOnDnKp3/y8/O1/hUpFhOZSZUTn7Eqk5chvzgfjlaO+m5Kvfxd/BH3IE7fzSB6Mu/I\nPAzyGoQXW77I630OjRwQ8XIEpuybgv+N/h/sLHSXw7SufJWa6t+qP+4W3MUnRz/BtwO+BQBsvrIZ\nEzpO0Lrstzq+hV/jflUrOC0hRJrUumJmbm4Oa2tryGQyWFtbK/9r3749du/eLXYbNebYyBHZT7L1\n3QxRnU07ix5uAiWIFhnHcfCw88CdvDv6bgrRsYjYCFiYWiC0U6hG7/dy8MLCFxZi4t6JyvReuhAR\nG6HRZPz6hHYKhbmJOdZcWAM5k+PP639iZFvtc9eOajsKe67taRA/SgkxVmpdMQsODkZwcDBGjRqF\nzgaU6d7P2Q8JWQmKVEBG6mDyQUFO6Loy1GcoIpMjMT2AXzwoYrgikyJxJu0MNo7YqFU5Pd17YlyH\ncXjv4Hv4eejPol+tVydfpTYWBC/AxL0TcTPnJvq36g8zEzOtyzQzMcOLLV/E4ZTDGOwt/ekNhJCa\neOXK9PPzw/bt25GcnIzy8nIwxsBxHL744gux2qeViiczpTgwu3wZWLeOw08/aRcUMvZeLL58gV9k\ncX3q36o/Qv8MFXRg9uOPHLy8GIYNE6xIUo8V51YgKiUKprL6TyHW5tZYP3y9IAOpV9u/ius51xUT\n8v3f0Lq8uqibr1JTMk6GiJcjMGnvJHzc52PByp3SZQrC/g7Ty8As63EWxu4eCxtzm3rXLSwpxPZX\nt8PJykmwut89+K7G+UlV+TH6RzS3aY7XfF8TpDxC1MFrYDZmzBhkZmYiMDAQJib1J8rWNz9nP/x1\n4y99N6OG9HTggw9kaNIEuHGDoU0bzcrJeJSBpjZNJR0mozo7Czs4WTnhRs4NtHHUcMMr2bULiI4G\nYmI4DBtGkc91YdfVXbiRcwP7xuzTyxzT93u+j1E7RmFch3Gi1V9YUoiErAR8P/B7UcqvYGlqiW2v\nbBO0TGdrZzhYOgj2GeNj3cV1+Kj3R2o9JR6ZFIl1F9dhbp+5gtXtZuuG6fun885Pqsquq7sQ/yAe\nB24ewKvtX5XsfGpifHj13Pj4eJw4cQLLly/HkiVLlP9JlYedB+4W6P5JrroUFgKTJsmwerUcn3wi\nx6pVmn/YDyYfNIgwGdWFdQvDqhjtH+s/exbYtk2GTZsYcnI4lEsrg49ROpt2Ftvit2FFyAq9fVFZ\nmlqie/Pu+Df1X9Hq4JuvUmqE+ozxUVpeimO3j2GQ1yC11h/sPRhHbx0VZM5gRd3fDfwOvd17Y8E/\nC7Qqr6Kfrxy6UvS+Rkh1vAZmnp6eKC3V3cRbbVV8cUglh1x5uWJQ9tlncrRuDXTuDKSkcCgo0Ky8\nqJQotU+CUtK5aWek5KagoFjDDQeQkgJ88YUMGzfKYWoKBAYynD8vYCNJDSm5Kfji+BfYOGKjWrcw\nxTQ9YDrCY8NFKVuTfJVSI8RnjK891/dgVLtRal+pknEyjGw7En9e/1PQuqcHTEdxWbHa+Umrq9zP\nzUzMMCNghmh9jRBV1PoErVy5EitXrkSbNm0wYMAALF++XLls1SppBzR0t3VH+qN0fTcDjAEffMDh\nP/9hCAp6vjw0VI5Nm/hfeSgtL8Wjkkdo0qiJgK3UndBOofjl8i8avTc3F5g+XYb16+WwexY5ISSE\nITKSbjWIJfdpLqbvn471w9frNFxFbdzt3GHCmYgS20yTfJVSpM1nTBO/XP6F91XGtzq+hV+uaN/G\n6nV/M+AbHEo+pFZ+0soq+vm64euU/dzNzk20vkaIKmoNzM6fP4+YmBg8efIEPj4+iIuLQ0xMDGJi\nYnBe4pcp/Fz8JJGa6aefODg7A2PHVr16N2IEsG8fBznPp9vPpJ3RKkWMvo1oOwL7buzj/Vh/SQkQ\nGirDt9/KUTmHfbduwPnzNDATQ0l5CSb8OQHfDvgWHo096n+Djoh1JWPNhTWY2mWq4OXqmqafMU3E\nZMSgrWNb2FrY8nqfrYUtWjdprVVmB1V1yzgZ1g1fh+9Pf19vftIKJeUlCN0bim8HfAvPxp5VXqOr\nZkSX1LofsWnTJpGbIZ4Ozh0Qey9Wr3Ox9u4F4uKANWtq3lI1NQUGDWKIjAReekn9MiOTI/Fae8N9\nUshUZopBXoMQmRSJl1qrt+GMAWFhHKZOlSOgWoB0ExPAyYkhMxNwrTvTD+GBMYawA2GY2nWqVlHp\nxdDLvRe+OvkVnpQ+qTPnJh8V+SrrSxdlCDT5jGlqdcxqfBL0iUbvDesWhm9PfYt1w9dpXPe8vvNq\nLLcys8KmEZsw7o9x2PafbXUeU8YYZh2YhSldpqjs52L0NUJqw2uOWcWty8r/bd26FTdv3hSrfVqr\niGWmLzExwPr1MqxcyVDbXOnJkxnWr+f3BNGl+5fQuanhxJRTZXKXyVh/ab3a6y9axKFTJ9QaFmPI\nEODQIbpqJqRF/y5CJ9dOGN5muL6bUgPHcRjXYRx+i/9NsDK1zVcpNXw/Y5rILMxEYWkhvB28NXq/\nTxMfFBQX4MHjBxrV/ajkEXya+Kh8vb78pBUW/bsIHV071trPxehrhNSG12jg77//xrx583D48GFE\nRUXhk08+waZNm9C/f3+sXy/uh19TztbOyHqSpZe6794F5s2TYdMmOczrmK7i6Ai4uDBcvapeuekF\n6Whu29ygwmSo0qRRE7hYueBqdv0bvm0bh5wc4J13an+QY/BghkOHhGxhw7YtbhtynuTgncB39N2U\nWr3u+zp2Ju4U5AEfIfJVSg2fz5im1lxYo3V2hGldp2HNhTUa1V1fTMTa8pNWULefC9nXCKkLr292\njuMQHx+P3bt3448//kBcXBzMzc0RHR2N5cuXi9VGrck4Gcrluo2lkJ8PTJkiw5o1cjg41L9+WBhT\nO3RGZHIkQrxDtGyhNIR1D8Oq83U/QHLiBPDnnxyWLq37hOjkBOTmcigrE7KFDdPJuyfx540/sXTQ\nUn03pU4Wphbo7d4b/9z5R+uyfrnyiyD5KqVGnc+YpkrKS3Dy7kn0b9lfq3IGtBqAE3dOoKS8RJS6\n+7fqj0FegzDvSNVbnnz6uZB9jZC68BqY3bp1Cx6VZlx7eHjg9u3baNasGczMtE8nIhYvey/cyrul\ns/pKS4GJE2X46is5WrVS7z3+/sDduxzy8upf9/CtwxjoNVC7RkqEv4s/UgtSkVekesNv3AAWL1Y8\ngalOTOMePRjOnRO4kQ3MjZwbWHRyEdYPXw8TmfQDSU/rOk3ridlC5quUmvo+Y9rYdXWXIMFXOY7D\nK+1fwe6r6ude5lt3aKdQWJhaICI2AoBm/VyIvkZIfXgNzFxdXbF48WLcu3cPGRkZ+Oabb+Dq6ory\n8nJJR0XW5ZOZjAHvvsvhzTfl6MEzt/ikSXJs3Fj3fiwpL8Hjksewt7TXopXSMqnzJGy8VDOPYnY2\nEBYmw4YNctjUn+EFgCJsxsGD0u2LUpf9JBthB8KwYcQGtdLqSEEz22awNLXU6sfXoeRDGNBqgCD5\nKqWots+Ytn698ive9H9TkLLe9H8Tv8b9qvb6W+K28K57QfACnE47jW1x2zTq50L0NULqwytK5ObN\nmzF79mwsW7YMAPDCCy9g8+bNKC0txebNm0VpoBD8nP1w9NZRrX4Nz5rFIT29/i/8sjLFXKdXNIhN\nOWwYMHQoh9mzWa1Xh86knUFvj94qX1uxggPHAbNnCzMHoqgImDSJw5Mn6m+3JnW/3PplDN02FLMD\nZyt/uRYVKcJiLF8uR/Pm6pcVEADMn88B0M08kAMHFP/n80StrvHJX/ik9AmWD16O5rY8droEhHUL\nQ3hMOL4b+B3v9xaVFWH52eWCpkbKylI8rPLf/0pjPpKqz5i2zqWfg7+LP6zNrQUpz8bcBn7OfohO\nj0agW2C9dXdw7sC77or8pKF/hmrcz7Xpa2K4cgXYuZPD119Lo68R7fEamLm5uWHXrl0qX/P39xek\nQWLwc/bDz+d/1vj9168rbk/u2SNuPCATE8UVn/37FfHNVPk76W+M7TC2xvJduxS3/Sr+/eqr2rVF\nLgemT+cQGsoweHD9H3jGFINXTeo2kZkgxCcEB5IOYHib4cq6Z8+Wo2NHfmXJZICrK8O9e0CzZvze\nq4nt2xWD4Zdeku5JkU/+QkMV6BaIL098icclj3l9WcuZHNP3T8eHvT4ULJk2AKxbx+HYMU6rXLhC\nqv4ZE8LqmNVYELxAkLIqzOw2E1/+82W9AzNt6rY0tcT2V7dr9F5A874mhowM4P33Zdi+XfxYdUR3\n1LqVeerUKQDA/v37ceDAgRr/SZ2dhR0eFT/S+P2rVnGYNUs3X7wTJzJs2FD7YbmSeQUdXaqOVipy\nRq5YwfDf/zJs3SrD2bPatWP+fA59+gCDB6u3PscBK1ZoXvfEThOx/uJ6jequbsgQ6OR2Znk58PAh\nh+xs6ebp5Ju/0JC96f8mtsRt4fWe+cfno49HHwz21rCzqVBaChw7xmHjRu1y4Qqt8mdMWxmPMlBU\nVoSW9i0FKa9CK/tWKCorwr1H93ReNx+a9DWhFRYq5jKvXi2Hk3C/KYgEqDUwqwgwWzlxuSEkMa/M\nzMSM1xM/FfLzgdu3FfGzdMHBAXB3Z4iPr/laan4q3O3cq8znq54z0swM2LhRji++kOGWhtMgNm7k\nUFoKTJvGbzCqTd0OjRzgbueOr9ckaFR3ZYMGMURFafx2tUVHK3J0SjlPJ9/8hYbs1favYtfVXWqH\nM9h4aSNK5aVah3qobs8eDqNGMXTtql0uXKFVfMbiH6g4ufC05sIazAiYIUCrapoeMB1rL66t9fW1\nF9aKVre6+PY1oVXPu0yMi1pn67VrFR+S48eP49ixYzX+MwRtHdviRs4N3u/btIlDaKhuLxPXFjqj\nepgMVTkjAaBxY2DdOjmmTZMhN5df3UePAocPA4sXa3bC0abugPIw/Hp9pcZ1V3B0BPLzxQ+bERnJ\nISSESTpPpyb5Cw2VuYk5gjyDcPT20XrXPXLrCA7fOozF/RcL3o7NmzmMH6/ow5rmwhVLWLcwrIrR\nLnRGcVkxzqSdQXCLYIFaVdULLV7AqdRTKC4rVln36bTTotWtLnMTc/Rr0U+tviaGDz+smXeZGA9e\nP6PLysrw3//+F2+//TYAIDk5GUeP6qdj8uXn7Mf7l2J5OfDXXxyG6zjoua8vcP8+h4cPqy4/fOsw\nBrQaAKD2nJEVPD2Bb7+VY+JEGUrUvFCYmAgsXSrDunUMMi0usGha9++rOqBdt/vIK35Y/xvq0asX\nw5kzWhdTp5gYDt26STdPp6b5Cw3ZtK7TlOEQapOQlYClZ5Zi7bC1gl9JjIkB2rZlsH22yzXNhSsW\nX2df3C+8j4dPNf+M7Uzcidd9XxftSXyO4zDadzR+T/xd53XzMbXLVI2C4mrrxx85ODnVzLtMjAev\ns6f4zmsAACAASURBVNI777yD+Ph4HD58GADQpEkTzJkzR5SGCU2T1EyRkYonDU15PSIhjMmT5Vi/\n/vnJp7isGEVlRWhs2bjOnJGVBQQoypk1i0N9V9wzM4F33lHcEm3USPv2BwQown/wrXtat8mCzIMR\n+yrW/fuAs7NiAFs5T6eUGFt6IXW42rjC1twWSQ+TVL6eWZiJ2ZGzsWnEJlFyHq5ezWHmzOcdvnIu\nXKmY3EXzzxhjDNvit6l8AElI4zqMw9b4rVVuFeqqbnW52rjCxswGybnJOquzIu/yJ5/QoMyY8RqY\nnT59GmvXrkWjZ9/cDg4OKC0tFaVhQmvn1I53WpL162WYPFk/H4ChQxV5Hytux51KPYW+Hn0B1J8z\nsrLhwxXBaxcvrn2Q8uSJ4urbTz/JBU0APmIE/7qH+gzFoZRDKJNrdx+ySxfg4kXxBmaHDnEYUukh\nR6nl6dQ2f6EhC+sehtUxq2ssf1L6BKF7Q/FTyE+iJCnPzAQKCzl4V9vlmuTCFZM2n7HTaafRpWkX\n0RN5W5lZobNrZ5xNf/4k0Zm0Mzqpmw8xsypUFxtbf95lYhx4nS0sLS2rXEIuLy+HXCrX6OthaWqJ\n4vKacxZqk5ioCLvQpImIjaqDTAYMG8awb5/i78jkSIT4hKiVM7K62bMZsrOB336r+WmWy4EpUzjM\nmSOHr69QrX/unXcYsrLUr1vGyTCs9TDsu7FPq3plMqBZM4b0dK2KqdWhQ6gSRkRqeTqFyF9oqAKa\nBeB6zvUqT2LLmRxT9k3BnN5z4OssQkcHsGYNh2nTap4P+ebCFZs2n7Hw2HCdTbyfETCjygB7dexq\nvU/6r05VXxPD3bvA3Ln1510mxoHXwKxjx47YsmUL5HI5bt++jbCwMPTr10+stgnOyswKj0seq7Wu\nLkNk1CY0lGHTJsUhin8Qj4dXO6iVM1KVpUsZ/viDw8mTVZfPm6e48vPii0K0uCaOA5Yt41d3aKdQ\nbLq8Seu6Q0LECZtRVqZ4uMDR8fkyKeXpFCp/oSGb0GlClSjy847MwxDvIXixpTgdvaQEOHmSQ/9a\ndjmfXLi6oMlnLK0gDXImh2djT3EaVU0L+xYok5chrSBN53XzUb2vCY1v3mVi+NQamC1cuBD//vsv\nli1bhpMnT+L+/fsIDAxEeXk5vvtOGtGP1eHn7IfE7MR618vNBdLSOHTooING1aFxY6BlS4YDp2+j\nMTzxzTcmaueMrM7EBNiwQY6vv5bh5k3FsvBwDpaWwIQJ4g5A+dbd2LIxWjZuicuZl7Wqd+BAccJm\nnD2ryMlZnVTydAqVv9CQjWo7Cnuu7YGcyRERGwFLU0tM6CRegvJduzi89lrtt5j45MLVBU0+YxGx\nETq/YjUjYAbWXFijl7rVVbmvCU2TvMvE8Kk1MLt79y5CQ0PRrFkzpKSk4N1338Wff/6J8PBw2Kib\nxFAC1H0AYONGDpMmSeMWbVgYwxebD+Lq3pd45YxUxcZGEWds5kwZtm7lcPYssGCBbq4K8q07rHsY\nVp5fqVWdDg7A48eKmGxCOnhQESajOqnk6dQkh6CxMTMxw4stX8THhz/GmbQzgkeor27LFg5vvFH3\nZ0mdXLi6xOcz9rT0Kc5nnFfOc9WVIM8gnEs/p5e61VXR16JShP0VqE3eZWLY1HrecN26dQCA1NRU\nHDt2DP/88w/WrVuH7Oxs9O3bV3LR/7OzgWXLOHzwQdUTZQeXDlh3YV2d7y0vV8Sn+vvvqu995+93\nMKXrFHRy1VGk2WdaeBchy3kXtk/bxStnZG2aNweWLZPjm284bNqk20mkfOpu69gWD58+RPaTbK1S\n5fTqxXD6NBAsYNijCxc4fPllzS/hgABgwQLd5elURdMcgsZoSpcpePfgu9gwYoOoVw/PnQM6dGCw\nrmeXq5MLV5faOraFmcwMo3aMqnfdorIiTO06VedXYTmOU86VlPIV4CldpmDs7rEqHzqpTC4HLl1S\nL1OIXA64eAIZpQybd9S9bk/3npjbZy6PFhMp4xUIwsPDA2PHjoWXlxdatGiBLVu24NKlS2K1TWOO\njsCJE8Du3aiSTNzbwRtJuaofo6/w11/A0KFVT5zXc64j83EmPjj0ATaP2qyzBM9yJseM/TOwNvRD\n9PIWLhZVp07A9u36GTzwqXtq16lYd3GdViecoUMZduzgEBwszPZmZCgeClEV500mU0zy1lWeTlXE\nyF9oqJytnQVNTF6b1as5ta48V+TCPXAAOo+NWJuVL2l3VVoXXm2vZeJfHXC2dsbh8YfrXEcuByZO\n5LDuDaZxujnSMKidK3PRokUYNGgQfH19sXr1ajRt2hR//fUXMjIyxG4jbxV5G7dskVWZ82MqM0W5\nvO6fKhs2yDBxYtWT7Krzq/Bp0KdY9dIqTNw7EYUlhWI0u4YF/yxAb4/egubxMySDvAbh6K2jKC3X\n/F5kp07A5cvC/dJW3Mas/XWxHjhQhxRyCDY0GRlAcTHQsqV660+cKK3QGUR3FizQLgcwaTjUOkME\nBQVh//79eP/993Hz5k1s3boV06ZNQ5s2bcRun8Yq8jZ+/nnVvI0OjRxqjXodFwd4ejLY2z9fll+U\nj9v5t9HJtRPaOLbBZ0GfYdLeSfUO8LS16fImlJSXNNiQB4Disf6RbUdiz/U9GpfBcYCbG0NqqjBt\niopSPFRQG13l6VRFCjkEG5o1azjMmKH+1di6cuES47VxI4eSEu1yAJOGQ62B2dGjRzF48GB8//33\naN26NcaPH49169YhKanu24L6pipvY10PAKxaxSEsrOoHZ9PlTQjtFKr8O8gzCKPajsKHUR+K1Wwc\nvXUUUSlRouTxMzRvdXwLv1z+RasyhJqUX1oKPHrE1RnbrkkT3eTprE7s/IWkpuJi4MwZDnwjBkkt\ndAYRl7b5h0nDo9bA7IUXXsCCBQtw7NgxxMXFYcqUKUhPT8fLL78MNzc3sduolYq8jaGhiryNHZw7\nqByY5eQAmZkc2rd/vqxcXo6/bv6F4W2qTggZ5z8OjlaO+Cn6J8Hbm5iVKFoeP0Nka2GLNo5tEHsv\nVuMyBg5UnBi1deaM4mGC+ugiT2d1OxN3YrTvaElPkDY2O3dyeP11/g/Q1JYLlxgfofIPk4aFV1fJ\nyMjA//73P/z666/YvHkz0tPT0bFjR7HaJpiAAGDKFEXeRt9akpmvX89hypSqITIikyMx2GswTGU1\nn5H4tO+nuJJ5ResI9ZVV5PHbOGKjpNKO6FtYN9UpdtTVuDHw9CmndkL12kRGqg6TUZ3YeTqrk1oO\nwYaAMWDbNk7jRNKTJ8uxYQMNoo2Z0PmHScOh1sBs6tSpaN26NVq3bo1ffvkFXl5e2LJlC/Ly8vD3\n33+L3UZBVOSM3PJzC9zJv1PltbIyICqq5qTu9RfXY3KXySrL4zgOK19aiXUX12l1NadCRR6/H0N+\nFCWPnyHzaeKDguICPHj8QOMy+vRhOHVKu3ZcusShc+f61xM7T2d1UswhaOxOnwa6dGGw0nCXV8+F\nS4yLWPmHScOg1sDM3d0dGzZsQG5uLqKiovDJJ5+gV69eMDXlFW2jTlFRUXj77bcxatQo7N+/v8pr\njDFERERg2rRpmDZtmsZx02bPZsjJ4ZCRwYGx57909+4Fhg+veqk5MSsRrtauaNKo9glF5ibm2DRi\nE+YemYu7+Xc1ahOgCIsx9a+poubxM3TTuk7DmgtrNH6/tlex0tKA5s3Vux0hdp7O6nSZv5AohIfz\nm/RfXfVcuMR4iJ1/mBg/tQZm8+fPR1BQEMxFzJ7q4+ODuXPnIlhFJNBjx44hNTUVERERWL58OXbv\n3o20tDSN6lm6lCE/tTn2HLmnXLZpkwyhodVCZMSswqzus+otz6GRAyJejsCUfVNQUFygUZvmHZmH\nwV6DRcvjZwwGtBqAE3dOoKRcs/uR/v5AXJzmA7Paov3XRldhM9IK0lDOyiWZQ9BYpaUpvnw9tdzl\nEyY8z4VLjIfY+YeJ8ZPMWaFVq1Zwd3dXOXn533//xdChQ8FxHGxsbNC3b1+crJ4RW00mJsCMV/yw\naG0ibtwALl0CvLwY7Oyer5P7NBdpBWno4KJeskwvBy8sfGEhJu6dyDvmli7y+BkDjuPwSvtXsPvq\nbg3fD3h4MNy5U/+6qijCZKi/vlh5OquTcg5BYxURod3VsgoVuXAva5cSlkhIRIRu8g8T4yaZgVld\nsrKy4OLiovzbxcUFWVlZGpcX4NEBwyfHISxMhsWLZTVCZGy8vBGTOk/iVWZP954Y12Ec3jv4XpXb\npHU5mHxQJ3n8jMV4//H4Ne5Xjd8/dKhmtzNLSoAnT7gq8e3q4+AAFBYKn6ezMn3lL2zInj4Fzp/n\n0FegXU6hM4xHZKTiyW1d5R8mxku4SWL1+Pjjj1XefuQ4DitWrICjo6PaZdU38MnOzsaiRYtqLA8K\nCkK/fv3g5+yHrXFbsWyZHOvWcagcJ7dcXo7IpEj8//buND6KMuv7+K8qhCWEAAMERNYgooCABkFZ\nlEW224FRHB1lBg0kEoiAivgZYJRNWZxhE1QMu6jBD/fDuDIEUXEgrCq3CIiyiEBAIEG2EIGQrudF\nTzKE7EknVdX5f19Bd3X1ufoK6cN1VZ2zZkDhb2p46NaHSDyfSN/3+uZ4J+f1KpevzOK+i1XioIAq\nl69Mi1ot2H5sO+1ubFfo13frBg89ZPDEExYVKxb8dZs3Q4cOOf/MfbLvEw6dPcSIdiOyPdehQ+H7\ndF66BBERBmPHWrTOpy3r7G2zGdhqoN/8/Dz7rMHkyRZVfNd9rEAuXYLBgw1SU/P/HC9dgief9Pis\nx2yzZt4yPRcv5t9rU5xr50547TWT//f/fPezURo2bNiQ4+5TkyZNbIhGMpRaYvbKK68U+bW1atXi\n1KlTNG3aFIBTp05Rq1atXI+vWbMmjz76aK7Ph1YO5dTFU7RuDfPmZf3C/WT/J/S5qQ8BZtG6DD/d\n/mmebv90kV4r+RvWdhiT/j2pSIlZSAiMHu1h6FCDpUsLXn8qPj73sggrv1+Jx/JQd2/dbD39Ctun\n0+OB6GiDfv3guedMli/35Nq4ftXeVRy/cJyxHccWbBAO9+OPsGKFQZcuFn/4Q+m9b8ZnHhFh0bOn\nPSsd7dtb7NgBnTvb8vZSTMeOef+9vveep1D/4XOCe+65h3tyqJC8zq72JQK4ZCuzY8eOxMfH4/F4\nuHDhAgkJCXQu5m8xwzDwWJ5sjy/5dgmD2gwq1rml5DSu1phLVy/xy4Vf8j84B716wd13e/vWFdR3\n3xnkVK4v3ZPOr7/9ytJ+S3l317tsTdya5fnC9umcMMHbS2/AAIv58z0MHmySkkNb1q2JW4nbHcec\nXnP8ZrXsjTcMFizwsGZN6Y7HCf0L27e32L7dP+axrElJgcGDTebP91Czpt3RiL9wTGK2fv16Bg0a\nxKZNm3jnnXcYNGgQh/7T5LJr167ceOONDB06lOeee47+/ftTr169Yr1f42qN+fnsz1ke23VqFw1C\nGlCtYiEuJpJSFx0ezcL/W1j010dbXLoEb72V/5fh0aPe3oY55T/bj3u3VAMDAlnabynjvxzPobP/\nbcxamD6d1/fSa9oU/vY3D5GRJunXtGX96cxPjP9yPEv7LS3QdrkbnDsHhw55VwoPHzYo4CWaxeaU\n/oVt28I3xS+FKKUsPd2blL3wgof/bOaI+IRjfrN37dqVrrncX2yaJkOH+vbOs4yemWHVwzIfe+Or\nNxjZfqRP30d8r0vDLkzfNJ3LVy9ToVyFIp1j2jSLgQMNGjTI+7b2vKr9xx+I5/6m9wNQtWJVFvVd\nROTHkax8aCXVK1UH/tunMyoq9y//zz/3tox6++2sx3TuDImJFs8/bzBrlsWZ384QvTqaJX2XEFIh\nJJezuc+yZQaDBnlXr1u29Db4vu22kn3PjP6F13/mdggJgfPnDcD+WKTgRo82ePBBS1vQ4nOOWTEr\nbS2ua810OvU0Jy+e5Naat+bxKnECwzB4uPnD/O/3/1vkc5gmLFxo8fe/m3z/fe7HffaZQffuOT/3\n9S9f07Zu28y/N6jagOndpxPxUURmvbX8+nTu2ePtpbdwYc7Fax97zOJ3v4PZc9OI+CiC6d2nU79q\n/YIM0RXS0+GTTwz6/qcdbVHvnC0MJ/YvvOEGi+PH7Y5CCmruXIOaNSlySy6RvDjk11Lpy1gxy7D4\n28VE3R5lY0RSGANaDuDd3e8WuDRJToKCYNkyDyNGmJw8mf35y5e9d+FVrZr9uRMpJ6gVVCtbo/nw\nG8KJbBPJU/96Csuy8uzTeeIEjBxpsmyZJ8/WPuPGeVhwfBhtrj5J+A3hhRyls8XHQ8+eFhlNRDp2\nhISEkkvMnNq/sF072L7d7iikID76CHbtgnHjlJRJySiziVnVilU5d/kcAFc9V1n30zp639Q7n1eJ\nUwQFBtGmdhu2Htua/8F5qF0b5s3zEBFhkpqa9blNm6BTp5x/+X568FN6NemV43P9mvXjttq3MTVh\nKpBzn87UVBg0qGC99KZumkL0H1qz83/7+d21SIsXm0RG/vczrlABKlb0Xnfma07uX9iunW4AcINv\nvvH+zL7+esHv6hYprDKbmAEEmoFcSb/CRz9+RN+b+2Zb/RBnGxo+lPlfzy/2eZo3h+ef9/Dkkwae\na27Uzev6sk9/+pSeYbnfyjfizhEkpSaxYveKbH06C9NLL25XHKdTT/PM3SNYutTDmDEmR4reltVR\nvv8eatf2btVeq3t3i88/9+17Ob1/YYsWsGePvumd7MgRGDPGu8Jdgt0JRcp2YtasRjP2/7qfZTuX\nEdE6wu5wpJAaVmtIupXOsfPF7xberRv06OHtc5dh926Dljl05brqucq5y+eoEZR7UWTDMJjZYybv\n//A+56puzNKnc8wYg5498++lt+HwBj7c9yEzeswAvN0EYmM9REWZnC9aW1ZHeeMNg6eeyp74Frfh\nfE7Gji3YZ26XcuXAsshyB644x/nzEBVlsmCBh+rV7Y5G/F2ZTsxa1GpB3K44wqqH+dVdbmVJ9B3R\nxO6I9cm5IiIsKlTw9rv7+Wdo0CDn7YqtiVtpf2P7fM8XYAawpN8SXk54mZDG+zh8GN5809tLLyIi\n7+tT9p3ex9SEqSzuuzhLseOwMJg82cOgQWaJtnsqaWfOQGJizolvgwZw9KjvymbExhpUqJD/Z263\n5s2tPG9EEXukpXkvO3jpJQ+NG9sdjZQFZTsxC23BnG1ziGkbY3coUkSdG3Rm27FtXLp6ySfnmzjR\n20ZpzBiDPn1y/iJfe3AtvZsU7HrE4PLBLO23lB9uGsoz406zdStMmpRPS7HUZGL+FcOSfksILh+c\n7fm77oIBAzw880zp1fzytaVLDQYPzl7gOUPr1hbffVf898noX5jfZ+4Eus7MeSwLnn7a4M9/9tA+\n//+LifiEY+qY2eGWGrcQHR7NzTVuzv9gcSTDMHi81ePM2jqLcZ3GFft8pgmxsRaRkQbduuV8zDe/\nfMOkLpMKfM66VeryRr+ZPHxqAOGtKvHgyryPT01LZVbPWdStkks/JuChh+Cnn2DmTIPRo52fdFwr\nPd17/d6aNbnH3bu3xZo1Bq1bF31sSUkwe7bJhx+6o39hu3bw0ksQGWl3JJJhxgyDsDDo39/uSKQs\nKdOJWaXASszqOcvuMKSYBrQcwPA1w1m1d1W2fpVFUbEivPtuzgnB8QvHqRNcp9A3inRo0ppj09YW\nO7ZrjR5tMXy4wapV3kTNLVav9tYrC8ijHW2HDjBrVvGKri5aZDBqlHv6F9arB8eOqdCsU6xaBYcP\nZ++nLFLSyvRWpvgHwzCY02sOcbvjsvWr9LW1B9fmWiajtBkGzJljERdnsm2b3dEU3JIlJoMG5f1l\nV748BAVZnD1btPdIS4MvvjDo0aNor7dLcLCVY39UKV1bt0JcnMmcOSqLIaVPiZn4hdz6Vfraup/W\n0SPMOd/2gYGwdKmHF180OVRyw/aZXbugfn2LagVoR9ujR95dE/LywQcGDzzgnMr+BRUerr6Zdvvp\nJxg/3luEuFyZ3lMSu7js15ZI7kIqhLCo7yKGfDKEM7+d8fn509LTuHDlAr+r9Lv8Dy5FISGwaJGH\nIUNMzvh+2D71xhsGMTEF2xrq1avoZTPeesvg8cfdtwXVrp3F1q1aorHLmTMQHW2yeLGHEN2oLzZR\nYiZ+Jad+lb6yJXELd9e726fn9JUGDWD6dG8ZjZzaPznB6dNw6pTBrQVsR1uvHhw/nrXob0F8/TU0\na2ZRpUrhY7RbeDjs2KHEzA5Xrng7Q0yf7qG+/7SjFRdSYiZ+J/yGcKJuj8rsV+kr8QfjC1wmww7h\n4RAZ6eGpp5xZRmPJEoPIyMJlWW3aWHz7beHeZ/58g2HDHPgBFEBwMKSk4Mj582eWBTExBk8+6SHc\nv9rRigspMRO/1Pfmvln6VfrCtye+pU2dNj47X0no2xduuw2mTnXWqsvVq/Dppwa9C5nXFrYLwMmT\ncOGCwU03FTJAB6lf3yIx0e4oypYpUwxat4bf/97uSESUmIkfG9luJMmpyazYvaLY50o8n0jdKnVd\n0U915EiL5GRYscI5ydlHH0G/foW/GP/uu2HLloKPY8ECg+joQu59Oky7drB9u91RlB1xcQanT8OI\nEVqmFGdw/reMSDHM6DGDD378gI1HNhbrPIWp9u8EM2ZYfPCBQUKC3ZF4LVtm8sQThf/iCwyEKlUs\nfv01/2OvXIGNG3MvDOwW6gBQejZsgA8/NJgxQ0mZOIcSM/FrAWYAi/suZsrGKew7va/I51n30zru\nC7vPh5GVrIAAWLzYw8svm+zfb28s334LYWFWke9y69ED1q3LP1FZtcrgoYfcX3fq1lth716XD8IF\n9u2DqVO9d2DmVexYpLQpMRO/F1w+mCX9lhDzrxiSU5ML/for6VdITUulWsUCFN9ykOBgWLLEQ0yM\nyenT9sVRmBIZOenVy2JtAZomvPOOwV/+4v6Vj4AAb2uwq1ftjsR/JSdDTIzJkiUegrO3oxWxlRIz\nKRPqVqnLzJ4zifgwotANzzcf3UyH+h1KKLKSVbcuzJzpISLC5JJv+rwXSlISnDljcHMx2tHWrQsn\nTuRdNmPbNmjZ0qJy5aK/j5O0bGmxe7fdUfivUaMMZs3yUDf3drQitlFiJmVG69qtGdFuBNGro/FY\nBb9APP5gPH1u6lOCkZWsVq1g+HAPQ4eWfhmNRYu8JQiKKzzcYseO3J93c4mMnOg6s5Jz6RKcO2fQ\nqpXdkYjkTImZlCm9mvSiQ70OTPz3xAK/5ruT39Eq1N2/xXv18t7hOHFi6X3Zp6XB+vUG9/ng0rxe\nvSzWrMk59uPHvV+2jRoV/32cQndmlpyNG+Gee/wniRf/o8RMypzo8GguX73Msp3L8j326Lmj1Aup\nh+H2K8qB6GiLS5e87YpKgy/7Vd51F2zblnPcCxcaDB3qX1+0dep4t2/F9+LjDXr39q+fF/EvSsyk\nTJrWfRqfHvyULw59kedxTq/2X1jTpll8+imsX1/y7/XWWwYDB/rmC7BcOahWzVuf7VqXL8PmzQb3\n3uuTt3GUkBCLc+fsjsL/7Nlj0Ly53VGI5E6JmZRJpmGyqO8i/rHlH3yf9H2ux3126DO6N+5eipGV\nLNOEhQst/vEPk717S+59SqJfZc+e2ctmrFxp8Mgj7i+RkZO2bb2fo/jOwYPe0i3++PMi/kOJmZRZ\nQYFBLOu3jBHxIziZcjLb85evXubS1UtUrVjVhuhKTlAQLF3qYcQIk5PZh+0T8+cXr0RGTq4vm2FZ\n3qrtjz3mn9tS7dpZuW7fStHExxv06eOfPy/iP5SYSZlWO7g283rPI+KjCFLTUrM8t+noJjrV72RT\nZCWrdm2YO9fDoEEmv/3m23OfPAkpKQZNmvj2vLVrQ1KSQXq69+9btsDtt1sEBfn2fZzijjvg//5P\niZkvrV9v0LWr3VGI5E2JmZR5zWs15/m7n+fJT57MUkYj/mA8vW/yn+vLrte8OYwe7eHJJ/OuEVZY\nCxcaDBlSMv0q27a1Mrf33nzT/y76v1ZQEPz2G6Ve4sRf/fabt2ivCsqK0ykxEwG6Ne5Gj7AejP18\nbOZju0/tpmWtljZGVfK6dYP77oNx43yzMnPlCmzYUHL9Knv3tli71iAxEdLToUGDknkfp2jY0OLw\nYbuj8A8bNsC99yrLFedTYibyHxGtI6hQrgKx38Ty89mfaVC1gV+UychPRIRF+fKwYEHxx1rS/Srb\ntfOWzYiN9e/Vsgzt26NCsz6yZo2uLxN3UGImco2J905kc+Jmxnw+xtXV/gtr4kSLzZspUE/KvJR0\nv8qAAKhRw2LrVoNO/nn5XxbeDgB2R+EffvjBoFkzu6MQyZ8SM5FrmIZJ7P2xBJgBdGtUQvtxDmSa\n8OabFvPmmXz3XdHOUVr9Kv/0J4thwzxlouTBzTfDvn2FG+jOnfDoo4ZPe6O++qrB3Lnu/cD374em\nTVUmQ9xBiZnIdSqWq8i7D75LlQo+LMLlAhUrwrJlHp57zuT48cK/vrT6Vd5/P/TvX+Jv4wim6V0l\nvHKlYMcfOwbPPWfSrx9ER/vmpo5Vq2DfPvjxR++f3UjV/sVNlJiJSKaaNeGNNzwMHmySklLw1x0/\n7q3C70/9Kp2iVSurQKuYKSkweLDJ/PkeBgywfNIbdetWiIszefVVizlzLN5912Tr1mKd0hbr1xt0\n6WJ3FCIFo8RMRLJo2hT+9jcPkZFmZs2w/Phjv0qn8F5nlneClZ7uTcpefNFD06bex4YO9fZGXbas\naMnZTz/B+PEmS5d6KFcOAgO9hYnHjzc5dKhIp7RF6n/KE5b0FruIrygxE5FsOneGBx6weP75/L/U\nL1+GLVsM7rmnFAIrg9q1I98bAEaPNujf38p2Q8T06UXrjXrmDERHmyxe7CEk5L+PV60KixZ5GDLE\n5MyZwp3TLl9+CV266D8N4h5KzEQkR489ZvG738G8eXknZytXGjz8sC6sLim1akFycu4f7ty5ob5G\nVwAAEiZJREFUBjVrwqOPZk8+TBMWLbL4+99Nvs+9JWwWV65ARITJ9Oke6tfP/nyDBjB9uoeICLPA\n177ZSdeXidsoMRORXP3tb97rmz7+OOfn/b1fpVNUq2bluEL10UewezeMG5f75x8U5L2poyC9US0L\nnnrK4MknPYSH535ceDhERXl46inD0Z0JLAt+/NHI3N4VcQMlZiKSK8OA11+3WLTI5Jtvsj/v7/0q\nneLOO+Grr7I+9s03sGSJyWuv5b9aWbs2zJvnXeVKTc39uClTDFq1gt//Pv+Y+vaF226DqVOdu1S6\nbx/ccotWc8VdHJOYLV++nJiYGEaOHMlzzz3Hd9fchmRZFrGxsQwZMoQhQ4bwr3/9y8ZIRcqW8uW9\nKy5jxpgcOZL1OX/vV+kU7dtbbNv23+ziyBEYM8Zk2TIP5csX7BzNm8Pzz+feGzUuzuD0aRgxouDz\nOXKkRXIyrFjhzMxnzRptY4r7OCYxa9GiBa+++ipz585l+PDhTJs2jbS0NADWr1/P0aNHiY2NZdas\nWfzzn/8kMTHR5ohFyo7q1WHBAg9RUSbnz3sfKyv9Kp2gTRvYudOb/Jw7B1FRJgsWeKhWrXDnyeiN\nOnZs1kRq40b48EODGTMKn8TMmGHx/vsGGzcW+qUl7t//Nrj3XrujECkcxyRm4eHhBAYGAtCwYUM8\nHg/n//MNkJCQQJ8+fTAMg+DgYDp16sRGJ/4WEPFjjRvD5MkeBg0ySUujzPSrdIKKFb13v6alwaBB\nJi+95KFx46Kda9Agb2/U2FhvcrZvH0yZ4r0DMyCg8OcLCIAlSzy8/LLJ/v1Fi6kkpKR4t+K1zS5u\n45jE7FqfffYZN9xwAzVq1AAgKSmJ0NDQzOdDQ0NJSkqyKzyRMuuuu2DAAO9F3199VTb6VTpFWJjF\nww+b/OUvHtq3L965Jk3y9kaNizOIiTFZssRDcHDRzxcc7K1xNmyYSXJy8WLzlS+/hG7d9B8HcZ9y\npfVGf/3rX3PcfjQMg1dffTUzCdu5cyfvvfceL7/8cq7nsvK5DSg5OZkpU6Zke7xz587co2JLIsXy\n0EPeSv89e5aNfpVO0bu3xYEDvmlHZZoQG2sREWEwa5aHunWLf866dWHmTA8DBpgFWqVKSYH33/dQ\npYQ6n61ZY/Dss0rM8rJhw4Ycd5+aNGliQzSSwbDyy3JK0a5du5g9ezbjx4+n0TW9XSZPnkz37t3p\n2LEjAEuXLqVixYo89thjOZ5n7dq13HfffaURsoiIFMGbbxrccIPFH/7g+3NbFvTpYxIf74NmoWXQ\nunXr6N27t91hlFmO2crcvXs3s2fP5sUXX8ySlAF07NiR+Ph4PB4PFy5cICEhgc6dO9sTqIiIFFvv\n3hZr1pTMkuvevXDrrY5ZcxAplFLbyszPvHnzuHr1KnPmzMl8bNSoUTRs2JCuXbuyf/9+hg4dCkD/\n/v2pV6+eXaGKiEgxNWoEhw8bWJbv64zFxxv06aPETNzJMYlZbGxsrs+ZppmZlImIiH+47TaL3bu9\nhWp9acMGg5gYJWbiTo7ZyhQRkbKld2+L+HjfLpdduADlynlLjIi4kRIzERGxRceOkJDg28Rs/XqV\nyRB3U2ImIiK2qFDBu7J17pzvzqk2TOJ2SsxERMQ2991n8fnnvjmXZcGhQwZhYb45n4gdlJiJiIht\nfHmd2Z490LKlVsvE3ZSYiYiIberXh8REA1+UOo+P1zamuJ8SMxERsVWrVhbffVf882zcaKDa4+J2\nSsxERMRWvugCkJQElSpZVKjgo6BEbKLETEREbNWhA2zeXLzEbOFCg8GDtY0p7qfETEREbFW+PAQF\nWZw9W7TXp6XB+vUG993n27hE7KDETEREbNejB3z2WdFe+/77Bg8+aGHqG038gH6MRUTEdr16Fb1s\nxvLlBgMHahtT/IMSMxERsV29enD8uIHHU7jXff01NGtmUaVKycQlUtqUmImIiCO0aWPx7beFe80b\nbxjExGi1TPyHEjMREXGEwnYBOHECUlIMmjQpwaBESpkSMxERcYS774YtWwqemC1caBAdXci9TxGH\nU2ImIiKOEBgIVapY/Ppr/sdeueKt9N+tW8nHJVKalJiJiIhj9OgB69blv2q2apXBQw9ZGL7pfy7i\nGErMRETEMXr1sli7Nv/j3nnH4C9/0UX/4n+UmImIiGPUrQsnTuRdNmPbNmjZ0qJy5dKLS6S0KDET\nERFHCQ+32LEj9+fnzzcYNkyrZeKflJiJiIij9OplsWZNzhePHT8Oly5Bo0alG5NIaVFiJiIijnLX\nXbBtW86J2cKFBkOHarVM/JcSMxERcZRy5aBaNYvk5KyPX74Mmzcb3HuvPXGJlAYlZiIi4jg9e2Yv\nm7FypcEjj6hEhvg3JWYiIuI415fNsCyIizN47DFtY4p/U2ImIiKOU7s2JCUZpKd7/75lC9x+u0VQ\nkL1xiZQ0JWYiIuJIbdtafP21989vvqmL/qVsKGd3ACIiIjnp3dti7VqDG2+0SE+HBg3sjkik5Ckx\nExERR2rXDl5+2SAtDa2WSZmhrUwREXGkgACoUcNi61aDTp3sjkakdGjFTEREHOtPf7K4fFklMqTs\nUGImIiKOdf/9dkcgUrq0lSkiIiLiEErMRERERBxCiZmIiIiIQygxExEREXEIv0zMkpOT7Q7BpzZs\n2GB3CD7jT2MBjcfJ/GksoPE4mT+NBeD06dN2h1Cm+WVi5m8/VBs3brQ7BJ/xp7GAxuNk/jQW0Hic\nzJ/GAv73Heo2jimX8fbbb7N9+3ZM08Tj8fDggw/SrVs3ACzLYsGCBXzzzTcAPPDAA/zP//yPneGK\niIiI+JxjErP+/fszcOBAAH799VeGDh1K27ZtCQkJYf369Rw9epTY2FguXrzIM888Q6tWrahXr57N\nUYuIiIj4jmO2MitXrpz559TUVCpWrEhgYCAACQkJ9OnTB8MwCA4OplOnTn63dCwiIiLimBUzgI8/\n/pjVq1eTlJTEqFGjqFSpEgBJSUmEhoZmHhcaGsqBAwfsClNERESkRBiWZVml8UZ//etfSUxMzB6A\nYfDqq69So0aNzMcOHTrEhAkTmDFjBqGhoYwYMYKRI0fStGlTAFavXs3BgwcZOXJkju8VGxvL5cuX\nsz1eo0YNatas6aMRlZ7k5GRXxp0TfxoLaDxO5k9jAY3Hydw6luTk5Bwv9K9QoQLR0dE2RCRQiitm\nr7zySoGPbdy4MWFhYRw4cIDQ0FBq1arFqVOnMhOzU6dOUatWrVxfrx8oERERcSPHXGN25MiRzD//\n8ssvHDp0iLCwMAA6duxIfHw8Ho+HCxcukJCQQOfOne0KVURERKREOOYas+XLl/PLL79Qrlw5ypUr\nx1NPPUWdOnUA6Nq1K/v372fo0KGA9w5O3ZEpIiIi/qbUrjETERERkbw5ZitTREREpKxzzFamrxw/\nfpzZs2dz4cIFKleuzDPPPEP9+vXtDqvIIiMjKV++POXLlwfg4YcfplOnTjZHVTCxsbF89dVXnDp1\nitdee40GDRoAcPbsWWbPns2JEycIDAwkJiaG5s2b2xxt/q4dz7x582jYsCEAY8eOJTk5maCgIAC6\nd+9Ov3797Aw1X2lpabzyyiskJiZSoUIFqlevTkxMDKGhoa6cn7zG48b5efHFFzl79iymaVKhQgWi\noqK4+eabXTk3kPt43Dg3GVasWMGKFSsyf7e5dW4yXD8eN8+N61l+Zty4cdbnn39uWZZlJSQkWKNH\nj7Y5ouKJjIy0Dh8+bHcYRbJnzx4rOTk52xjmzJljxcXFWZZlWfv27bMGDx5sXb161a4wCyy38Ywd\nO9b66quvbIys8K5cuWJ9/fXXmX//5JNPrBdffNGyLHfOT17jceP8XLx4MfPPW7ZssYYPH25Zljvn\nxrJyH48b58ayLOvAgQPWhAkTsvwucOvcWFbO43Hr3PgDv9rKPHv2LAcPHqRLly4AdOjQgZMnT5KU\nlGRvYMVkufQywObNm2epT5dh06ZN3H///QA0bdqUatWq8f3335d2eIWW23jAfXMUGBhIeHh45t9v\nvvlmTpw4AbhzfvIaD7hvfjJWKQAuXrxI1apVAXfODeQ+HnDf3KSlpfHmm28SExOT5XG3zk1u4wH3\nzY2/8KutzOTkZGrUqIFpevNNwzCoVasWSUlJedY9c7oZM2YA3i+bJ554gpCQEJsjKrrz58/j8Xiy\njCE0NNT1yfPixYtZvnw59evX5/HHH8+8o9gtPv74Y9q3b+8385MxngxunJ9Zs2axa9cuPB4PU6dO\ndf3cXD+eDG6bm3fffZeuXbtm6Ubj5rnJaTwZ3DY3/sKvEjN/NH36dGrWrEl6ejpvv/02s2fPZsKE\nCXaH5XOGYdgdQpGNGjUqs+r36tWreemll3j99ddtjqrgVq5cyYkTJxg+fDiXLl3K8Rg3zc+14wH3\nzs+oUaMA+OKLL5gyZUquRbrdMjfXj+f111933dz88MMPHDhwgIiIiMzH8lpVcvrc5DUet82NP/Gr\nrcyaNWty+vRpPB4P4P0Bc/tqWcY/jICAAPr168eePXtsjqh4QkJCMAyD8+fPZz6WXycHp7u2Fcv9\n99/PiRMnSElJsTGigvvnP//J1q1bmThxIuXLl3f9/Fw/HnD3/AB069aNkydPYlmWq+cmQ8Z4UlJS\nXDc3u3fv5ujRo0RFRREVFUVycjITJ05k//79rpybnMYzYcIEduzY4bq58Sd+lZhVq1aNsLAw1q9f\nD8DmzZupXbu24/9x5Oby5ctZ/iFs2LCBJk2a2BhR0V37v8qOHTuyevVqAPbt28eZM2dcdfcS/Hc8\n6enpnDlzJvPxTZs2Ub16dYKDg+0KrcA++OADNm7cyOTJk7NcA+TW+clpPG6cn9TU1Cz9C7ds2UKN\nGjUICQlx5dzkNp7KlSu7bm7++Mc/8tZbb7Fo0SIWLVpEzZo1mTRpEuHh4a6cm5zGM3nyZFq3bu26\nufEnfldg9tixY8yZM4cLFy4QFBTEs88+69pyGSdOnGDatGmZK4B16tRhyJAhrkk058+fz/bt2zl7\n9ixVqlShUqVKxMbGcvbsWWbNmsXJkycJDAxk2LBhtGjRwu5w85XTeObOncvYsWNJS0vDMAyqVq1K\nZGQkjRo1sjvcPCUnJzN48GDq1KlDpUqVAO8F9DNmzHDl/OQ2nilTprhufpKTk5k2bRpXrlzBNE2q\nV69OZGQk9evXd+3c5DSejFImbpqb60VFRTF+/PjMchlum5vrZYwnNDSUcePGuXpu3MzvEjMRERER\nt/KrrUwRERERN1NiJiIiIuIQSsxEREREHEKJmYiIiIhDKDETERERcQglZiIiIiIOoZZMIlJojRo1\nolKlSlSsWDHzsRUrVnDLLbf47D1+/vln7rzzTlf0GxQR8RUlZiJSaIZhsGrVKsdXNhcRcRttZYpI\nkeRUm9o0TSZOnMgdd9xBs2bNeO+99zKfi4+PJzw8nNatW9OlSxf27t2b+dzSpUu5/fbbadOmDXfe\neSdHjhzJfG7ChAm0bduWpk2bsmbNmpIdlIiIzbRiJiKFZlkWf/zjHzO3Mg3DYNu2bQAEBASwY8cO\nDh06RLt27ejcuTOBgYEMHDiQL7/8khYtWhAXF8cjjzzCrl27+PLLL5k6dSqbNm0iNDSUS5cuYVkW\nJ0+e5PTp07Rt25ZJkyaxdu1ann76afr06WPn0EVESpRaMolIoTVu3JjVq1dn28o0TZNjx45xww03\nAPDggw/yyCOPEBwczNy5c1m3bl3msdWrV2fv3r3MnDmTqlWr8sILL2Q5188//8xtt93GhQsXADh3\n7hw1a9YkLS2thEcnImIfbWWKiE9d/3890zQxDCPX4w3DyHFbFMhyc0FAQADp6em+CVJExKGUmIlI\nkeSWTC1ZsgTwrnglJCTQqVMn2rdvz86dO/nhhx8AeO+996hfvz516tShb9++LF++nJMnTwKQmprK\nb7/9VjqDEBFxGF1jJiJFcv01ZnPnzgXA4/Fwxx13cPHiRV577TVuvPFGAN5++23+/Oc/k56eTvXq\n1Vm5ciUAnTt35oUXXqBnz54YhkH58uVZtWpV5nmvldfKm4iIP9A1ZiLiM6ZpkpKSQlBQkN2hiIi4\nkrYyRcRntKIlIlI8WjETERERcQitmImIiIg4hBIzEREREYdQYiYiIiLiEErMRERERBxCiZmIiIiI\nQygxExEREXEIJWYiIiIiDqHETERERMQhlJiJiIiIOMT/B00HH94bd8sHAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2bf456ac>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhIAAAEzCAYAAABkJeqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAMCyfwAbxnprKFCLqAAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2be5fe6c>"
},
{
"html": "<h2>Learning Rate 1</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2c327f2c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\nBest accuracy 0.75\nNumber of epochs: 21\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAmoAAAE0CAYAAACcvh9lAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRJVtyx9rAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2c32e20c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhEAAAEzCAYAAACPElGyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2c32e1ec>"
},
{
"html": "<h2>Learning Rate 0.01</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2c49380c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\nBest accuracy 0.875\nNumber of epochs: 24\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAngAAAE0CAYAAAC/5U6wAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghhJP5fw0VnDCfJsTXAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2c3339ec>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhEAAAEzCAYAAACPElGyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2c283c4c>"
},
{
"html": "<h2>Learning Rate 0.001</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2c63638c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\nBest accuracy 0.875\nNumber of epochs: 37\nWeights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAn8AAAE0CAYAAABdOVXJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNH8AAAA28g8qX/W2rJSgzQAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2c6fd38c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhIAAAEzCAYAAABkJeqxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRAAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2c3e4e6c>"
},
{
"html": "<h2>Number of Epochs vs Learning Rate</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x2c907bec>"
},
{
"html": "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>Rate</th>\n <th>Epochs</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td> 1000.000</td>\n <td> 46</td>\n </tr>\n <tr>\n <th>1</th>\n <td> 100.000</td>\n <td> 37</td>\n </tr>\n <tr>\n <th>2</th>\n <td> 10.000</td>\n <td> 44</td>\n </tr>\n <tr>\n <th>3</th>\n <td> 1.000</td>\n <td> 21</td>\n </tr>\n <tr>\n <th>4</th>\n <td> 0.010</td>\n <td> 24</td>\n </tr>\n <tr>\n <th>5</th>\n <td> 0.001</td>\n <td> 37</td>\n </tr>\n </tbody>\n</table>\n</div>",
"metadata": {},
"output_type": "display_data",
"text": " Rate Epochs\n0 1000.000 46\n1 100.000 37\n2 10.000 44\n3 1.000 21\n4 0.010 24\n5 0.001 37"
}
],
"prompt_number": 100
},
{
"cell_type": "code",
"collapsed": false,
"input": "data, meta = loadarff('./ex_1.arff')\ndata = DataFrame(data)\nm = p.Main(meta, .1)\nhistory = m.train(data)\n\nn = p.normalizers(data, meta)\ndata = p.normalize(n, data)\n\nf = figure()\n#data[data.columns[:2]].plot()\ncs = data[data.major == 'cs']\nscatter(cs.friends, cs.age, color='r')\n\nlaw = data[data.major == 'law']\nscatter(law.friends, law.age, color='b')\n\nwx, wy, bias = m.best_weights[0]\n\ny1 = min(data[data.columns[1]])\ny2 = max(data[data.columns[1]])\n\nx1 = (-bias - y1 * wy) / wx\nx2 = (-bias - y2 * wy) / wx\n\nlegend(('CS', 'Law'))\nplot([x1, x2], [y1, y2])\nxlabel('Friends (normalized)')\nylabel('Age (normalized)')\ntitle('Friends vs Age of CS and Law students')\ndisplay(f)\ndata, m.best_weights",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Fully trained\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhsAAAE0CAYAAACFNfHDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2f1062cc>"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 172,
"text": "( friends age major\n0 0.40 0.0 cs\n1 0.10 0.2 cs\n2 0.00 1.0 cs\n3 0.05 0.6 cs\n4 0.40 1.0 law\n5 1.00 0.0 law\n6 0.50 0.6 law\n7 0.35 1.0 law,\n [array([-0.215, -0.08 , 0.1 ])])"
}
],
"prompt_number": 172
},
{
"cell_type": "code",
"collapsed": false,
"input": "data, meta = loadarff('./ex_2.arff')\ndata = DataFrame(data)\nm = p.Main(meta, .1)\nhistory = m.train(data)\n\nn = p.normalizers(data, meta)\ndata = p.normalize(n, data)\n\nf = figure()\n#data[data.columns[:2]].plot()\ncs = data[data.hair_color == 'brown']\nscatter(cs.cats, cs.age, color='r')\n\nlaw = data[data.hair_color == 'blond']\nscatter(law.cats, law.age, color='b')\n\nwx, wy, bias = m.best_weights[0]\n\nx1 = min(data[data.columns[0]])\nx2 = max(data[data.columns[0]])\n\ny1 = (-bias - x1 * wx) / wy\ny2 = (-bias - x2 * wx) / wy\n\nlegend(('Brown', 'Blond'))\nplot([x1, x2], [y1, y2])\nxlabel('Number of Cats (normalized)')\nylabel('Age (normalized)')\ntitle('Hair Color of Cat Owners')\ndisplay(f)\ndata, m.best_weights",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Done classifying; no progress in past 20 epochs\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhwAAAE0CAYAAABn6eq6AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB+jeyEz5y+AMAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x2dea49ec>"
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 168,
"text": "( cats age hair_color\n0 0.50 0.00 brown\n1 0.00 0.00 blond\n2 0.00 0.50 brown\n3 0.25 0.50 blond\n4 0.50 0.25 brown\n5 0.50 0.75 blond\n6 0.00 1.00 brown\n7 1.00 1.00 blond,\n [array([-0.125, -0.05 , 0.1 ])])"
}
],
"prompt_number": 168
},
{
"cell_type": "code",
"collapsed": false,
"input": "from base64 import encodestring\n\nimport matplotlib\n\nfrom IPython.display import display, HTML\nfrom IPython.core.pylabtools import print_figure\n\ndef png2x(fig):\n \"\"\"render figure to 2x PNG via HTML\"\"\"\n x,y = matplotlib.rcParams['figure.figsize']\n dpi = matplotlib.rcParams['savefig.dpi']\n x2x = int(x * dpi / 2)\n y2x = int(y * dpi / 2)\n png = print_figure(fig, 'png')\n png64 = encodestring(png).decode('ascii')\n return u\"<img src='data:image/png;base64,%s'/>\" % (png64)\n\nip = get_ipython()\nhtml_formatter = ip.display_formatter.formatters['text/html']\nhtml_formatter.for_type(matplotlib.figure.Figure, png2x)",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "import matplotlib",
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": "plot",
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 8,
"text": "<function matplotlib.pyplot.plot>"
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": "matplotlib.rcParams['lines.linewidth'] = .5\nmatplotlib.rcParams['axes.linewidth'] = .5\nmatplotlib.rcParams['patch.linewidth'] = .5\nmatplotlib.rcParams['font.size'] = 8\nmatplotlib.rcParams['figure.facecolor'] = 'white'\n\ngrey = [.6]*3\ndgrey = [.3]*3\nmatplotlib.rcParams['xtick.color'] = dgrey\nmatplotlib.rcParams['ytick.color'] = dgrey\nmatplotlib.rcParams['axes.edgecolor'] = grey\nmatplotlib.rcParams['axes.facecolor'] = [.99]*3\niris_res = runthis('iris.arff')",
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Running perceptron classification on iris.arff with a testing split of 0.7\nRunning 5 trials\n"
},
{
"html": "<h2>Trial 1</h2>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x10be1d2c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Using 105 for training, and 45 for testing\nDone classifying; no progress in past 20 epochs"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\nBest accuracy"
},
{
"output_type": "stream",
"stream": "stdout",
"text": " 0.981735159817\nNumber of epochs 28\n"
},
{
"html": "<h4>Percent missed (of the test set): 0.0666666666667 ; 3.0 instances</h4>",
"metadata": {},
"output_type": "display_data",
"text": "<IPython.core.display.HTML at 0x105edf2c>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Weights vs Epochs for each perceptron:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqMAAAE2CAYAAABV3JsFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCgAAAGMIowAAADDmv2yKp1vGonmlAAAAAElFTkSuQmCC\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x11c1562c>"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAqMAAAE2CAYAAABV3JsFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nUQAAABhDGAUAAIAx/wcOg1LnvnI24gAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x12a90d4c>"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApwAAAE2CAYAAADMJEKwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAPYQAAD2EBqD+naQAAIABJREFUeJzs3XlYVVX78PHvOXCYR2WSSUZBnFNzCBJNTSvNWUt9cqDS\n1DQH1EoNzTTHspx+PZlDg+aU2aBZaOojzqYGiAyiAiY4oAwiHNjvH7yeREABmYT7c11ccvZee+17\n73OEm7X2WkulKIqCEEIIIYQQFURd1QEIIYQQQoiaTRJOIYQQQghRoSThFEIIIYQQFUoSTiGEEEII\nUaEk4RRCCCGEEBVKEk4hhBBCCFGhJOEUQgghhBAVShJOIYQQQghRoSThFEIIIYQQFUoSTiFKaN++\nfajVavLy8qo6lBIZNmwYQ4cOLZe61q5di4uLS7nUVZXi4+NRq9XExcWVe93l9fko7ftWU94bIUTN\nppKlLYWAwMBAAgICmDNnTrFlcnJyuHnzJnZ2dpUYWdmlpaUBYG5u/th1rV27lhkzZnD58uXHrqui\nDBs2jNzcXDZs2FBsmby8PK5du4aNjQ1qdfn+vV1en4/Svm9ZWVlkZGRQt27dxzqvEEJUJP2qDkCI\n6kClUqFSqYrdn5OTg0ajqTbJZl5eHoqioKenV2yZ8kg0y0t2djYGBgYVeo6qfg8fVXdJ70Fp3zcj\nIyOMjIxKdYwQQlQ26VIXoghubm4sWLCAPn36YGpqyooVKwp1mZ48eRJ/f3/MzMyoU6cOgYGB3Lp1\nq1BdWq0WGxsbvv/++wLbFy9eTIsWLXSvf//9d1q1aoWJiQk+Pj6sWLFCt+9eV/CWLVto3bo1xsbG\n/P333w+N4cGu2YyMDMaOHUu9evUwMTGhZcuWHD16VLd/4cKFuLi4YGRkRLt27Th27Fix90er1RIc\nHIy9vT0mJiZ07dqVmJgY3f4PPviAgIAAlixZgqOjI23bti1Uxw8//IC1tTVarbbA9iZNmrBs2TIA\nvvvuO3x9fTE2NqZevXq8+eabxcakKAr3d9gEBgYyZcoURo4ciaWlJcHBwYW61OPi4ujWrRuWlpZY\nWlrStm1bYmNji6y/efPmLFiwoMC2rVu3YmdnR15eXqHPR3H3IDQ0FF9fX0xMTOjVqxcLFizA3d1d\nV+eD75ubmxtLliyhf//+mJmZ4efnx969e3X7i+pSX7ZsGV5eXhgZGeHp6cmXX34JwNWrV+nXrx/1\n6tXDwsKCDh06cPr06WLvqRBClBdJOIUoxoIFC3jxxRcJDw+nX79+hfYPGTKEgIAA/v77bw4ePMiQ\nIUOKrEdfX59+/foVSjg3bdrEK6+8AkBUVBR9+/ZlzJgxREREsGTJEkJCQgodM2vWLObNm0dkZCTu\n7u4PjeHBFr833niD0NBQNmzYQEREBDNnztQlaN9++y0hISEsWLCAM2fO0LRpU1544QVd925R92b9\n+vWsXbuWY8eOYWxsTM+ePQs8v/jXX39x/Phx/vjjD7777rtCdbzwwgsoisKuXbt02yIiIoiMjGTA\ngAFcuXKFESNGMGfOHM6fP89PP/1Eq1atioynOKtXr8bHx4dTp04xYcKEQvvvJeDHjx/nxIkTjB8/\nvtiu9kGDBhX5Hvbr16/YYx68B6mpqfTu3Zvu3btz+vRpXnzxRRYsWFDgfSqqpXbBggW8/PLLnD59\nmoCAAIYMGVIoUb/niy++YMaMGcyYMYPIyEjWrl2LhYUFkN/9HhgYyO+//87Jkyfx8/OjZ8+eZGdn\nF38ThRCiPChCCCUwMFCZMWOG7rWbm5syYsSIAmX27t2rqFQqJTc3V1EURTE3N1cOHDhQovr37t2r\nmJiYKOnp6YqiKEpcXJyiVquV+Ph4RVEUZfjw4crkyZMLHDN37lylc+fOiqIoyoULFxSVSqWsX7++\nQJmHxfDaa68pQ4YMURRFUWJjYxWVSqWcOHGiyLJt2rRRpk6dqnut1WoVFxcXZfny5YqiKMpXX32l\nODs76/bb29srK1eu1L2+ceOGYmJiovzyyy+KoijKrFmzFHNzcyUjI+Oh9+W1115Thg4dqns9c+ZM\nJTAwUFEURTl+/LhiaWmpu2ePcv/1KoqidOjQQenUqVOBMvfuY2xsrKIoitKkSRNlw4YNJar/3j28\nd2x6erpiamqq7Nu3T1GUwp+Pou7B8uXLFTc3twL1vvrqqwW2PXgdbm5uypgxY3Svr1y5oqhUKiU8\nPFxRlMLvjaurq7J48eISXZNWq1XMzMxK/DkWQoiykhZOIYpxf3d3UcaOHUvXrl3p3bs3K1as4Pr1\n6wAcOHAAc3Nz3df//vc/OnTogKWlJTt37gTyW8aefvpp6tevD8DZs2f5/PPPCxw3Z84cLly48NCY\niovhnnstZeHh4ZiamvLUU08VeS3nz58v0O2tp6dHq1atOH/+fKGyt27dIjk5uUB5a2trfHx8iIqK\n0m1r0KABJiYmD72HAwcO5McffyQnJ0d3XwYNGgTkd2E3bdoUDw8Phg8fzvfff68rVxIqleqR7+Ho\n0aMJCgqiW7duLF68mISEBAAuXbqEmZmZ7r347rvv8PDwoHXr1rpWzp07d2JpaUmHDh2Krf/Be3D+\n/HmaN29eoEzLli0feS1NmjTRfW9vbw9AcnJyoXJpaWlcvnyZwMDAIuvJzs7m3Xffxc/PD2tra6ys\nrMjMzKzWg8GEEDWDJJxCFONRydJHH33EsWPHaNu2LRs2bMDHx4eYmBhat27N6dOndV8tW7ZEpVLR\nv39/Nm3aBOQnVgMHDtTVlZGRwaRJkwocFx4eTmho6ENjKi6G8qA85gQWxsbGjyzTuXNn9PX1+eWX\nXzh9+jSxsbG6xxf09PTYt28fmzZtwt7enqlTp9K+fftSJZ2Peg9Hjx5NZGQkL7zwArt27cLX15eD\nBw/i5OTEmTNndO9Fjx49gPxu9fvfw/79+z+0/gfvgUqlKtN91Wg0BeoAyjT90r1HIebOncv//vc/\n/vrrL6ysrEp1T4UQoiwk4RTiMTRq1IipU6cSFhaGg4MD27dvx8jICA8PD93XvRHEAwcOZPfu3Rw/\nfpwzZ84wYMAAXT3NmjXj3LlzBY7z8PDA1dW11DH88MMPun33kptGjRqRkZHBiRMniqzDx8eHsLAw\n3WutVsvx48fx9fUtVNbS0hJ7e/sC5W/cuEFUVFSR5R9Go9HQp08fvv/+ezZt2sRzzz1XYHoftVpN\nYGAg8+fP5+jRo5w4caLYQS4PG6H+MO7u7rz99tvs2bOHDh068N1336Gnp1fgfTAzMwOgf//+nDlz\nhhMnTrBr1y5da2xJNWjQgNOnTxdIOh98T8p6HZA/wt3V1bXAoKL7HT58mAEDBtC7d2/8/PwwMDDg\n5s2bZT6fEEKUlEyLJASFRzg/yp07d5g6dSoDBgzAxcWF8PBwLl269NCEq3379tja2jJ8+HD8/f1x\ndHTU7ZsyZQrt27dnxowZvPLKKyiKwrFjx7hz5w6jR48usr6srCyCg4MLxeDj41OorIeHB6+++ipD\nhgzhs88+w8PDgzNnzlCvXj3atGnD+PHjef3112nevDktWrRgyZIl3L17t9iBUOPHjyckJAQ3Nzdc\nXV2ZPn067u7uPP/88yW+h/cMGjSIl19+GVtbW2bMmKHbfvToUUJDQ3n++eextrZmy5YtGBkZ6R5D\neNCD719J3tN33nmHl156CU9PTy5fvsyZM2fo1q1bseWdnZ155plnGDZsGA4ODkWOvn+YV199lenT\npzNp0iRGjRrFgQMH2L17N5aWlsVeR2m9//77TJo0CRsbGwICAkhMTNSNTvfy8uLXX39l6NChKIrC\n5MmTZUolIUSlkIRTCB49h+P95SB/5HlKSgqvvPIKKSkpODk5MWvWLF3Xa3EGDBjAkiVL+Pzzzwts\nf+qpp9izZw/vvfceixcvxsjIiGbNmjF16tRC575HT0/voTE8eE3/93//x+TJk3nllVfIzMzEz8+P\nlStXAvlJX0JCAsHBwaSkpPDUU0/xyy+/6Fr2HqxrypQp3Lx5k2HDhpGWloa/vz87duzQlSnp/YT8\n6YvMzMxISkqiT58+uu0WFhbs3buXxYsX6+Ldtm0btra2Rdbz4DmLi+H+bVqtljfeeIOkpCRsbGwY\nPHgwY8eOfWi8AwcO5O2332by5MkPrbuo81taWrJt2zbeeustVq1aRefOnRk3bhwbN258ZNwPc3/5\noKAg0tPTCQkJISkpCRcXF9577z0gPxk9f/48/v7+ODg4MHfuXKKjo0t1LiGEKAtZaUgIIapQUFAQ\nV69e1Q0oE0KImkhaOIUQohKtWbOGRo0aYWNjw549e/j6669Zt25dVYclhBAVqtolnKtXr+bo0aOk\npKTw+eefFzto4rfffmPr1q0oikLTpk0ZPXr0Q5f5E0KI6uDy5cvMmjWLa9eu4eHhwbJlywrMWCCE\nEDVRtetSDw8Px8HBgeDgYGbNmlVkwvnPP/8wdepUli1bhqWlJR9++CGtWrV66MP+QgghhBCialS7\naZEaNWpUYFqUohw6dIj27dvrRnZ269aN/fv3V0Z4QgghhBCilKpdwlkSKSkpBUaq2tnZkZKSUoUR\nCSGEEEKI4jyRCacQQgghhHhyVLtBQyVha2tbYB3h5OTkYufmu2fVqlVkZ2cX2l63bt1HduHXVtev\nX5d7UwZy30pP7lnZlPa+5WblknE6A0MXQwDuXr6LaTNT9Iyq94BLRVG4e+kuOSk5mDY1RW1Q9rYS\n+aw93PXr17l+/Xqh7QYGBowaNaoKIhI1RbVOOIsbz9S+fXumTp3KoEGDsLS05Ndff+XZZ599aF3Z\n2dmMGTOmIsKssebOnVvqpfuE3LeykHtWNqW5b6n7Urm04BJen3th4pO/xnzmuUxixsXg+r4rVh2s\nKjLUMsvNzCV2fCxGbka4THdBpS770p8gn7WyWrFiRVWHIJ5w1S7hXLlyJUePHiU1NZUZM2ZgbGzM\n6tWr+eyzz2jTpg1PP/00Dg4OvPrqqwQHB6MoCs2aNaNLly5VHboQQlQ7iqKQsCiBzPBMGm1vhJ7Z\nv62ZJr4mNNreiJixMaQfS8dpktNjreVe3u7E3iHmrRicJztj3cW6qsMRQjyGapdwjh49usi1o8eN\nG1fg9fPPP1+mdZuFEKK20N7SEj0qGkt/Sxp81aDIZFLPTI8GXzXgyoornBt8Du+V3uhbVv2vhus7\nr3Nl5RW8v/DGyFXWexfiSVf1P1WEEEKUu4wzGcROjMVtjhsW7SweWlalUuE4xhGzp8yI6BuB5xJP\nTJuaVlKkBSlahYuzLqJN0+K33Q+1oYxtFaImkP/JQghRw1z9+irxs+Lx/c73kcnm/SzaWeD7rS/x\nM+NJ/ib50QeUs+zkbCL6RWDiZ4LXMi9JNoWoQWpNC6eMSiy9gICAqg7hiST3rfTknpXNg/ct724e\ncZPi0LfWx2+LHyq90j+PaWBngN9WPy7OukjMuBg8FnlUSuJ3+9Bt4mfG47nUE9MmFde6Kp+1sqlT\np06Jy/7+++9otdoKjEZUJ/r6+nTu3PnR5SohlmpBEs7Se9TIf1E0uW+lJ/esbO6/b1mXsoh+MxrH\nMY7Ufenxft6p9FS4fejG9Z3Xiegdgdcqrwp7jlJRFJKWJ3H70G38tvmhb1Gxv5bks1Y2pfkdqtVq\nZSBvLbJnz54SlZP+CiGEeMLd3H2T6Nej8Vru9djJ5v3q9qiL52eeRL8ezc3fbpZbvffkpudyfth5\nlLsKvt/4VniyKYSoOvK/WwghnlBKnsKluZfITsjG7wc/9IzLfwJ3Y09j/H7wI25CHGlH03B59/Hn\nwoQnYw5QIUT5kRZOIYR4AuXcyCFyYCSGToZ4r/aukGTzHj1jPbxXe2PgaEDkwEhybuQ8Vn0pW1KI\nmxKH73pfSTaFqCWkhVMI8cTKTc/l3OBz1J9VH7OnzCr13Gkn0rg48yIqTdVMlK7kKLjNcavU63YY\n4YBZczOihkaV/brzwKShCX7b/FBrpM1DiNpCEk4hxBMrfmY8doPtuDTvEnW618FhhEOFn1NRFK6u\nucqN3Tfw2eCDpo6mws9ZnZg9ZUbjnxtXdRhCPPE0Gg27d++mU6dO7Nu3jy5dunD37l3U6qr9Q+z+\nuMqT/HkphHgi3T58m9z0XGwH2NJwU0Oyk7KJfjOa3Du5FXbO3Du5RL8ZTfY/2TTc2LDWJZtCiJrj\n999/R6OpvJ9hknAKIZ44eXfziJ8Rj/t8dwBUahWu77ti09eGiF4R3Im7U+7nvBN7h4heEdj2t8X1\nPddyGTgjhBC1hSScQognzuX5l6k3ql6hFkbrrtZ4/583MWNiuL7zermd7/rO68SOi8X7C2+su1iX\nW71CiKq1ceNGGjVqhJmZGc7OzowePRqAzMxMxo0bR7169bCxseHll1/m4sWLuuNGjBjBf/7zHyZP\nnkzdunVxcnLi888/1+3Pzs5m2LBhuLu7Y2lpSZs2bdi7d2+pYtu0aRNNmjTB3Nyc5s2bs23bNt2+\nffv2odFoCA0NpUmTJlhbW9O3b19SU1N1ZW7evEnfvn0xNzenUaNG7Nq1C41Gw/79+4mPj6d79+5A\nfhe6RqNhw4YNumMTEhLo2rUrFhYWtGnThrNnz5buxhZBEk4hxBMl4+8MMs9lYtPHpsj9RvWNaPRD\nI27+dpP49+NRcpUyn0vRKsS/F8/NPTfx2+5XYZOfCyEq35UrVwgKCiIkJITIyEh27NhBy5YtAXjr\nrbeIjY3l559/JiwsDDs7O3r16oWi/PvzZOfOnWRnZxMWFkZISAjBwcH8+eefQP7k9w0aNGDHjh2c\nOnWKl156iT59+pCSklKi2EJDQ5kwYQIhISGcPXuWadOmMWzYMI4cOVKg3Lx58/jqq6/4/fff+fvv\nv5k7d65u38SJE4mLiyM0NJSvvvqK2bNn6/a5urqyceNGABITE0lMTGTAgAG6/R9++CHjxo3jxIkT\n1KtXj6CgoFLe3cJk0JAQ4omh5CpcCL6A93+9UamK79JWG6rx+syLq19fJaJfBN7/542BrUGpzpWd\nnE30G9HY9rfFbrDd44YuhKhmkpKSMDQ0pHv37piamuLi4kLLli2Jj49n8+bNJCYmYmWVP23XihUr\nsLGxISwsjPbt2wNgZWXFJ598glqtpkGDBhw4cIAVK1bQoUMHTExMePfdd3XnmjFjBps2bWL37t0M\nGTLkkbF99NFHzJgxgz59+gDg5ubGvn37WLNmDW3atNGVmzdvHq1atQLyW123b98OwO3bt9m4cSM/\n//wzrVu3BiAkJIQXXngBALVajaWlJQB2doV/vr355pv06NEDgGnTphEQEEBmZiYmJialuMMFScIp\nhHhiJH2ehE1fGwwdDUtU3n6IPWbNzDj36jnc5rhh0daiRMfdDvv/63ovqdh1vYWorcaMUZGYWD7P\nQTs5KSxfXvqejObNm9OkSRO8vb3p3r073bp1o1evXoSHh5OTk4Obm1uB8llZWVy4cEGXcLZo0aLA\niPJWrVqxZs0a3evFixfz9ddfk5iYSHZ2Nnfu3CEhIaFEsf39998cOXKkQNKanZ2Nv79/gXJNmjTR\nfW9vb09ycjIAcXFxaLVaXYstUOD7R2nc+N+ZKOzt7QFITk4udE9KQxJOIcQTIetCFqmhqfj94Feq\n40ybmOK3xY/o0dGkn0in3lv1im0dvbeud1pYGn5bK35dbyFqq/wEseyPu5QHPT09QkND2b9/P7t3\n72b69OksXryYSZMmYWJiwsmTJwsdY2trW6K6v/nmG+bOncuyZcto1qwZJiYm9OvXj5ycki2akJGR\nwcKFC+natWuB7cbGxgVe3z/KXKVSkZeXV6L6H+XBeoHHrlt+mgohqj1FUYidGIvHYo+HdqUXR99S\nH99vfElcksj5Eefx+twLPdOCK/PkpucSMzYG06am+HztU6bzCCGeLGq1msDAQAIDA5k4cSKOjo44\nODiQkZFBZmZmgZa+B506dYq8vDxdK+fx48fx8fEB4MiRI3Ts2FHXfZ6ens6lS5dKHFfTpk2JjY3F\nw8OjTNfl4eGBvr4+J06c0M2neeLEiQJl7iWViqJUys87GTQkhKj2ktcnY+lvibGX8aMLF0OlUuE8\nyRn7YfZE9I4gMypTty/zXCYRfSKwH26P80RnSTaFqAWOHj3Kxx9/zKlTp4iPj2f9+vUYGRnh4+ND\n7969GTx4ML/99hsXLlxg//79TJgwgRs3buiOT01N5Z133iEqKoovv/ySzZs360a5e3p6EhYWxsGD\nBwkPD2fEiBGlaiGcNm0aK1eu5NNPP+X8+fOcPn2a5cuXs3nz5hIdb2FhwSuvvMLkyZM5duwYR44c\n4YMPPgD+bbF0dXUF4Oeff+batWtkZ2eXOL6ykIRTCFGtZf+TTfLGZJzGO5VLfVYdrPBZ50Pc5DhS\ntqaQsiWFC8EX8FnnI+t6C1GLWFhYsG/fPrp3707Tpk3ZvHkzmzdvxs7Ojg0bNtC1a1def/11Gjdu\nTFBQEFqtVjdoRqVS0aNHD/T09Gjfvj0zZ87k448/pkOHDkD+oJtOnTrRo0cPXnjhBQICAmjatOlD\n47n/D90ePXrwzTff8M0339CiRQu6devGr7/+Sv369Yssf+/1/duWLFmCu7s7HTt2ZPjw4UyaNAkA\nQ8P8Z+Dd3d2ZMmUKQUFB1KtXj02bNpUotrJSKfeP8a/Bdu3aRZcuXao6DCGqnbycPC7OzJ9frv7s\n+tVufetzQ87hPMUZs2blu2Z4db9uIaqTPXv20K1btxKVrQ2/b0eOHIlWq2XdunVVHUqJHTx4kI4d\nO3LlyhVsbIqeVq4sSvrZkGc4hajF7ibdJfrNaOyH5Y9CjOgTQYP/a4BBvdJNIVRRru24hpG7Ubkn\nmwBqjRr3ee7lXq8QouZ7Etrqjh49SmJiIs2aNePSpUtMmDCBrl27lmuyWRqScApRS6X+mcrluZfx\n/MwTE5/8biLTxqZEvRaFy3suVd69rE3VkvR5Eo13Fv/QvhBCVIUHu6+ro9zcXD788EOio6OxtLSk\nS5cuLFmypMrikYRTiFpGURQSFyeSEZ6B33a/AqO1TXxM8NvmR8zYGNKPp+M00anKfqhemH6B+rPq\nozaSrm4hRPXy5ZdfVnUIj9SuXbtCI9OrkvwkF6IW0d7Scm7wOdQmahqsaVBoaiAAPTM9GnzVALWR\nmqghUWhvaSs9ztS9qagMVFj6W1b6uYUQQpQ/STiFqCUyzmQQ0S8Cp7edcHzL8aEtlyqVCscxjjiO\ndSSiXwQZZzMqLc7czFwuzb2E24dulXZOIYQQFUu61IWoBa5+fZVrW6/h+61vqdYUt2hnge+3vvlr\nivernDXFL4VcwnmiM/rm8uNJCCFqCmnhFKIGy7ubR8y4GO5E3cFvi1+pks17DGwN8NviR2ZkJjHj\nYsi7Wz5LpxUl7Xga2cnZ1HmhToWdQwghROWThFOIGirrUhYRvSOwft4atzluqPTKPvhHpafC7UM3\nrLtaE9E7gqxLWeUYab68nDzi34vHY2HZlnITQghRfUmflRA10M3dN0lYmoDXCi+MPcq+HOSD6vao\ni0kjE6Jfj8Z5kjPWXa3Lre6ERQnYD7NHY6MptzqFEEJUD9LCKUQNouQpXJxzkWvbruG33a9ck817\njD2M8fvBj2tbr3Hpw0soeY8/AXLmuUzST6VjO8i2HCIUQojqT6PREBoaWurj1q1bh5ub20PL1K9f\nn/Xr1z+0jKenJ2vWrCn1+ctKEk4haoicGzlEDozE0MkQ79Xe6BkXnvKovOgZ6+G92hsDRwMiB0WS\ncyOnzHUpeQpxU+LwXOxZ7SdSFkKIqjZw4MBHzq95/8T0MTExaDQaLl26VGyZyiBd6kKUk7QTaVyc\neRGVpmqSJiVHwW2OG2ZPlf8ykMVxGOGAWXMzooZGlfm6lWwFmwE2GLoYlnN0QghR8xgZGWFkZFTq\n46p6OU5JOIV4TIqicHXNVW7svoHPBh80dWrXM4hmT5nR+GdZflII8eTZuHEjc+bM4eLFi1hZWdGj\nRw9WrlxJZmYmU6dOZcuWLeTk5PDMM8+wbNky6tevD8CIESPQarXY2dnx1VdfYWRkxPTp0xk7diwA\n2dnZvPHGG/z555/cuHEDX19f5s+fT8eOHYuM46mnnmLixIkMGTIEAC8vL+rVq8eBAwcAmDdvHgcO\nHOCXX35h3bp1zJo1i/j4eN25xo0bx6ZNm7C2tmbOnDkF6m7YsKGuToCZM2cyY8YMAFJTUxk4cCC7\ndu3C1dWVZcuWFRvj45IudSEeQ+6dXKLfjCb7n2wabmxY65JNIYR4Ul25coWgoCBCQkKIjIxkx44d\ntGzZEoC33nqL2NhYfv75Z8LCwrCzs6NXr14FWgl37txJdnY2YWFhhISEEBwczJ9//gmAVqulQYMG\n7Nixg1OnTvHSSy/Rp08fUlJSiowlICCAgwcPApCQkEBqaipnz57l7t27ABw8eJCAgIAij50/fz6/\n/PILW7ZsYceOHXz11Vdcv35dt/9evYcPHyYxMZFJkyYB+Y0lixYtomfPnpw8eRJ/f39ee+01cnLK\n/ojUw0jCKUQZ3Ym9Q0SvCGz72+L6nisqtTx/KIQQT4qkpCQMDQ3p3r07Li4utGzZkqCgIOLj49m8\neTPffvstTz31FN7e3qxYsYK4uDjCwsJ0x1tZWfHJJ5/QoEEDgoKC6N+/PytWrADAxMSEd999l6ZN\nm+Lh4cGMGTNwcnJi9+7dRcbi7++va808cOAAAQEB+Pr6EhYWRl5eHocPH8bf37/IY1etWsXMmTPp\n3LkzTZs2ZcWKFWRl/Tt1Xd26dQGwtbXFzs4OExMTIP8Zzr59+zJ48GA8PT2ZNWsWV65cITo6+vFv\nbhGkS12IMri+8zpXVl7B+wtvjFxL/yyNEELUZmN+GUNiWmK51OVk7sTyF5aX+rjmzZvTpEkTvL29\n6d69O926daNXr16Eh4eTk5NTaCR4VlYWFy5coH379gC0aNECtfrfdrtWrVoVGPW9ePFivv76axIT\nE8nOzubOnTskJCQUGcszzzzD+fPnSUlJ0bVmJiUlcfDgQSwtLcnKyqJNmzaFjktNTSUlJYXWrVvr\ntvn4+GDSFuOLAAAgAElEQVRubl6ie9C48b+PQ9nb2wOQnJyMn59fiY4vDUk4hSgFRatwcdZFtGla\n/Lb7oTaUTgIhhCitsiSI5U1PT4/Q0FD279/P7t27mT59OosXL2bSpEmYmJhw8uTJQsfY2pZs6rZv\nvvmGuXPnsmzZMpo1a4aJiQn9+vUrtrva0dERDw8PDhw4wMGDBxk2bBhJSUmsWLECKysrWrZsiYFB\n8SvFlXW0uUbz72Ng9+rIy6uY1eQk4RSihLKTs/PXFO9fOWuKCyGEqFhqtZrAwEACAwOZOHEijo6O\nODg4kJGRQWZmZoEWwAedOnWKvLw8XSvn8ePH8fHxAeDIkSN07NhRNwgoPT290LRED/L392f79u1c\nunSJli1b4ubmxrBhwzA3Ny/2+U0rKyvs7Ow4evQozZo1AyAqKoq0tDRdmXtJZW5ubgnvSsWQ5hkh\nSuB22G3ODT6H2xw3STaFEKIGOHr0KB9//DGnTp0iPj6e9evXY2RkhI+PD71792bw4MH89ttvXLhw\ngf379zNhwgRu3LihOz41NZV33nmHqKgovvzySzZv3szo0aOB/EnVw8LCOHjwIOHh4YwYMeKRLYf+\n/v58//33tGnTBrVaja2tLU5OTvz000/FPr8J8MYbbzBnzhz++OMPTp8+zZgxYwpMm+Tg4ICBgQG/\n/fYbKSkp3Llz5zHvXNlIC6cQD6EoCknLk0gLS8Nvqx/6FvJfRgghagILCwv27dvH0qVLyczMxM/P\nj82bN2NnZ8eGDRt4//33ef3117l27RpOTk507dq1wICbHj16oKenR/v27TEyMuLjjz+mQ4cOALz5\n5pscO3aMHj16YGFhweTJk7l69epD4/H39ycvL69Aa2ZAQAAxMTE888wzum0PTtg+ffp0EhMT6dOn\nD9bW1syePZuYmBjdfkNDQz7++GM+/PBDxo0bx4wZM3TTIlUmlVLVM4FWkl27dtGlS5eqDkM8QXLT\nc4kZE4NpM1Oc3nGSVXCEELXWnj176NatW4nK1obftyNHjkSr1bJu3bqqDqXKlfSzIc01QhQh81wm\nMeNicH3fFasOVlUdjhBCiGqklrTVlStJOIV4QMqWFJLXJ+O73heDesWPChRCCFE7VfY65DWBJJw1\nVG56LudePSfDwkorD0wamtBwa0PUGrl5QgghCvvyyy+rOoQnjiScNVT8zHgc33bEurN1VYcihBBC\niFpOmnBqoNuHb5ObnivJphBCCCGqBWnhrGHy7uZxceZFfDf6VnUoQgghhBCAtHDWOJfnX8bhTQc0\ndTSPLiyEEEIIUQkk4axBMv7OIPNcJjZ9bKo6FCGEEEIIHUk4awglV+FC8AU8FnvIVA1CCCFENTRi\nxAhee+013WtPT0/WrFlThRHlezCuiiAJZw2R9HkSNn1tMHQ0rOpQhBBCiBpNq9Wi0WjYv39/qY57\ncP7OqpjPs379+mzYsOGhcVWEajloKCkpiaVLl5KWloapqSkTJkzAxcWlQJmzZ8/ywQcf4OzsrNu2\ncOFCDAxq30TdWReySA1Nxe8Hv6oORQghhKg1SrvikKIoVb5KkUqlKhRDZcRULVs4ly9fTvfu3Vm1\nahV9+vRh2bJlRZZzdXXl008/1X3VxmRTURRiJ8ZKV7oQQghRCp06dSI4OJjhw4djaWmJp6cnW7Zs\n0e0/efIknTp1wtzcHC8vL0JCQsjNzQXAx8cHgM6dO6PRaAgKCgJgzZo1tGzZUlffrFmzdMeURFxc\nHC+//DJWVla4uroyfvx47ty5o9vv6enJ0qVLGThwIJaWljRp0oS9e/cWqOPTTz/F0dERGxsbpk2b\nxtChQxk5cqTumhMTExk5ciQajYbOnTvrjlMUhRkzZmBnZ4erqyuffPJJKe/ow1W7hDM1NZXY2FgC\nAwMBaN++PVevXiU5OblqA6umktcnY+lvibGXcVWHIoQQQjxRvvjiC7y9vTl+/DhBQUEMHTqU2NhY\nrl+/Tvfu3XnxxRc5ffo0X375JRs3bmTJkiUAHDp0CIAtW7aQmJjI0qVLgfykbeHChZw5c4bly5ez\nZs0avvjiixLFkp2dzQsvvECDBg04duwY27Zt49ixY0yZMqVAuUWLFtGzZ09OnjyJv78/r732Glqt\nFoC9e/cyffp05s6dS1hYGFlZWfz888+6BqmtW7dSr149li5dSmJiYoEEe+fOneTm5nLo0CFmzpzJ\nlClTOHv27OPd4PtUu4Tz2rVr1KlTB7U6PzSVSoWtrS0pKSmFyiYmJjJ+/HgmTpzIr7/+WtmhVrns\nf7JJ3piM03inqg5FCCGEeOI0atSId999F29vb6ZPn87TTz/N6tWrWbFiBYGBgUyaNAkPDw86dOjA\nzJkzdUta1q1bFwBra2vs7OwwNzcHYOTIkXTq1In69evTrVs3xo4dy9atW0sUy6ZNm7CysmLhwoV4\ne3vTqlUrFi1axFdffaXr8lapVPTt25fBgwfrWlCvXLnC+fPnAVi9ejUDBgxg+PDheHt7s2TJEiwt\nLXXnsLa2Rq1WY2lpiZ2dHVZWVrp9rq6ufPTRR3h5eREUFESDBg04cODA49/k/69aPsNZEp6enqxd\nuxYTExOuX7/OBx98gLm5Of7+/lUdWqWJmxyH+3x3VPrSlS6EEOLJoRozBlViYrnUpTg5oSxfXvoY\nVCqefvrpAttat27N+fPnMTIyYufOnQUSstzcXF1LYnEOHTrE7NmziYyM5NatW2i1WlxdXUsUz9mz\nZzl9+nSBcyqKQk5ODomJiboxK40bN9btt7e3ByA5ORk/Pz9iYmL4z3/+o9uvVqtp3rx5ic7fqFGj\nAq/t7e2LbOwrq2qXcNrY2HDjxg3y8vJQq9UoikJKSgq2trYFypmYmOi+r1u3Ls8++yzh4eHFJpzX\nr19n7ty5hbYHBATw7LPPlu9FVIJrO65h5G6EWTOzqg5FCCFEDbF///4iW7U8PT3L9TzK8uVU7dCZ\not1rSUxPT2fQoEG8//77JT42LS2Nnj17MnDgQGbPnk2dOnX49ttvWb9+fYmOz8jIICAggFWrVhXa\n5+DgoPteo/l3YZd7XeV5eXnF1lvSAUH6+gVTQpVK9dB6S6vaJZxWVlZ4eHiwd+9ennvuOQ4dOoS9\nvT12dnYFyt28eRNLS0vUajWZmZkcO3aMrl27Fltv3bp1GTRoUEWHXym0qVqSPk+i8c7Gjy4shBBC\nlNCzzz5bZCPMnj17qiCaiqUoCkePHi2w7fjx47Rt2xY9PT1CQ0Px8PAo8lg9PT3UanWBAUFRUVHc\nunWLefPmYWFhAcDly5cLHPewwb3NmjXjp59+wsnJCUPDsk1x6O3tzcmTJ3Wvc3NzOX36NM8995xu\nm0ajKTSQqTIGHVe7ZzgBxowZw65duxg1ahRbt27l7bffBuCzzz7TfTgOHTrEuHHjePvtt5kyZQot\nWrQoMNqqJrsw/QL1Z9VHbVQt3z4hhBDiiRAeHs68efM4f/488+fP58iRI7zxxhu89dZbxMbGMmrU\nKE6fPk1UVBSbN2/mo48+AvITNBcXF0JDQ0lOTiYjIwNXV1c0Gg0rVqwgLi6O1atX8+OPPxY438Na\nG1999VUMDAx45ZVXOH78ODExMezcuZPg4OASX8+bb77J5s2bWbt2LVFRUUyePJlbt24VSChdXV3Z\nv38/V69e5datW8XGVd5TOFW7Fk4AJycnFi5cWGj7uHHjdN+/+OKLvPjii5UZVrWQujcVlYEKS3/L\nRxcWQgghRJFUKhVBQUFERkbSunVrbGxs2LBhg+7xgb179zJ16lQ6dOiAWq3G19eXMWPG6I6fP38+\n06ZNY8GCBQwdOpT//ve/rFq1ipkzZzJv3jyef/55goODC3SRP2yCdTMzM/744w+Cg4Pp1q0bOTk5\neHl5MXTo0BJfU2BgIPPmzePdd9/l7t27jBw5kueee67AtJEzZ85kzJgxuLm58cwzz/D7778XGVd5\nTwavUqp6BtJKsmvXLrp06VLVYTyW3MxcwnuG47fdD33zavm3ghBCiBpoz549dOvWrURln5Tft889\n9xz+/v6EhIRUdSgVRlEU/Pz8eP3115k4cWKFnKOknw3JWp4gl0Iu4TzRWZJNIYQQ4jFVh1V/KsKi\nRYvo3r07KpWKVatWkZCQQL9+/ao6LEk4nxRpx9PITs6mzgt1qjoUIYQQ4olXFeuYV4Y///yThQsX\ncvfuXRo3bsyuXbtKPDVTRZKE8wmQl5NH/Hvx+H7jW9WhCCGEEDXCH3/8UdUhVIidO3dWdQhFkmHO\nT4CERQnYD7NHY6N5dGEhhBBCiGpGEs5qLvNcJumn0rEdZPvowkIIIYQQ1ZB0qVdjSp5C3JQ4vFd4\n18jnTIQQQghRO0jCWYHSTqRxceZFVJqyJYtKtoLNABsMXcq24oAQQgghRHUgCWcFUBSFq2uucmPX\nDXw2+KCpI89eCiGEEKL2koSznOXeySV2fCxG9Y1ouKkhKrV0hQshhBCidpNBQ+XoTuwdInpFYNvf\nFtf3XCXZFEIIIYTOiBEjeO2118p0rEajITQ0tNj9M2bM4LnnnntoHSEhIXTo0KFM539cknCWk+s7\nrxM7LhbvL7yx7mJd1eEIIYQQooJotVo0Gg379+8v1XGPM9l8YmIiAQEBJS7/7LPPMnv27DKdqyJI\nl/pjUrQKF2ddRJumxW+7H2pDyeGFEEKI2qC0S2M+znKadnZ2pSpf3Wa3kezoMWQnZxPRLwITPxO8\nlnlJsimEqPZu3rlJ6IVQTv1zqkauIy1ESXXq1Ing4GCGDx+OpaUlnp6ebNmyRbf/5MmTdOrUCXNz\nc7y8vAgJCSE3NxcAHx8fADp37oxGoyEoKAiANWvW0LJlS119s2bN0h1zz71E8JNPPqFLly667bNn\nz0aj0RAdHQ1AUlISGo2Gq1evAoW71Lds2YKHhweWlpYMHz6crKws3b4RI0Zw6NAh5syZg0ajwdvb\nu0AMy5cvx8XFBQcHB6ZNm/Z4N7KEpIWzjG4fuk38zHg8l3pi2sS0qsMRQohCrqRd4dTVU5y6cooz\nyWfIzMnE2siaZvbN+CfjH6b9MY1nXZ/llcav4GHtUdXhClHpvvjiC6ZMmcLx48fZsmULQ4cOpUWL\nFlhZWdG9e3eCg4P573//y+XLlxk1ahQmJiZMmTKFQ4cO4ezszJYtW2jXrh3GxsZAfgvmwoUL8fT0\nJDIyktdff5169eoxatQo3Tnv/aHn7++vS0j19PQ4ePAgNjY2HDx4EG9vbw4ePIiXlxf29vaF4o6N\njWXIkCHMnDmT/v378/3337No0SJatmwJ5Cez586dIyAggEmTJqGnp6c79uzZs3h5efH7778TFRXF\noEGD8Pf356WXXqrIWy0JZ2kpikLS8iRuH7qN31Y/9C3lFgpRFbR5Wr4+8zUbwzfSx7cPrzV7DUP9\nypmz9q72LmtPr2VH1A5MNCZ41/WmYd2G+Nr40tCmIeaG5pUSxz2KohCfGs+pf05x6p9TRFyLIDs3\nm3pm9Wju0JxO7p2Y0GYCpgYF/zjOzcvlz4t/Mv9/80lKS+IF7xfo37A/tqayspmoHRo1asS7774L\nwPTp09m1axerV6/G3NycwMBAJk2aBICHhwczZ84kJCSEKVOmULduXQCsra0LdHWPHDlS9339+vUZ\nO3YsW7duLZBw3tOiRQvUajXHjx/nqaee4tixY0yePJkDBw4wfPhwDh48iL+/f5Fxf/HFF7Rq1UoX\n+3vvvccvv/yi229hYYFGo8HMzKxQV7y+vj6rVq1Co9Hg4+NDYGAg+/fvl4SzOslNzyVmTAymTU3x\n/ca32j0fIURtkKfk8X3493z515f0b9ifbQO2sTVyKy9tfIkeDXoQ1CIIE41JhZw7MyeTL05+wU/R\nP/Gfpv9hx8Ad5Cl5RN+IJvJaJLtid/HpkU9Jy05DrVLjYe2Bb11ffG188bP1w8bEpkznvau9S2pW\nKjezbur+vZZ5jTPJZzh//TyKouBm5UYLhxb0adiHGbYzMNAzeGS9emo9Orl3opN7J7K0Wfwa8yvj\nd48nOzebPr59eNnn5UJJalW6eecmYYlhNLNrhpOFU1WHUyJ3cu4QfyueuJtxNLJthJuVW1WHVC2M\niY4mMTu7XOpyMjBg+QNdxiWhUql4+umnC2xr3bo158+fx8jIiJ07d2JlZaXbl5ubi1arfWidhw4d\nYvbs2URGRnLr1i20Wi2urq5FltXT06Nt27YcOHAAyE9Qe/bsSd++fQE4ePAg48ePL/LY8+fPF4r9\n6aef5syZMw+/aMDLywuN5t/5wR0cHEhJSXnkcY9LEs4SyjyXScy4GFzfd8Wqg9WjDxBClCtFUfjx\n/I+sOL6CF71fZOegnRjpGwEwtOlQXm38KtvObaP3973p5NaJ0a1GY2FoUS7nvn33NiuPryQ0PpSg\nFkHsenUXeup/u6ga2zWmsV3jAsfk5uVyIfUCkdciOZx4mLWn13It8xoAzhbO+Nr4Ym5grksgb2Xd\n4mbWTW7fvV3o/AZ6BlgbWWNpZIm1kTVWRlbYmNgwsvlIvOt4F4ilrIz0jejt25vevr1JzUplW+Q2\nBm8fjKWhJQMbD6SLexc0epW/iMXV9KvsiNrBrthdaPQ0tHduz7bIbSSmJeJp7UlHt450qN+hzMn8\n49Lmabl86zIXUi8Qnxqv+/d2dv77aKRvRH3L+rhbudPYtvEjaqs9ypIgVoZ73d3p6ekMGjSI999/\nv8THpqWl0bNnTwYOHMjs2bOpU6cO3377LevXry/2GH9/fw4cOIBKpSIgIIDGjRtz8+ZNwsPDCQ8P\nL7aFs6gGr5I+k31/snlPXl5eiY59HJJwlkDKlhSurruK73pfDOo9utVACFF+FEVhd9xuPj3yKYH1\nA9nafytmBmaFyump9ejv15++Dfvyc/TPDNw6kLZObRn39DjqGNcp07lv3LnBsqPLOJp4lNGtRhPc\nPrjEPRt6aj286njhVceLHg16FLiexLREIlIiyMzJxN3KHSsjK10iaW5ojlpVtQMQrYysGNFiBCNa\njCDxdiKbIjbx+dHP8arjxSuNX6GtU9sK7eG5fOsy26O2syduD1aGVrzs8zLre60v8L4risKF1Avs\njd/LO7vf4fqd6zS0bUgnt04EuAaU2x8biqLwT/o/hRLKqxn5Azn01Hq4WLjgZuWGu5U7Leq10L2n\nonpTFIWjR48W2Hb8+HHatm2Lnp4eoaGheHgU/Wyznp4earW6wICgqKgobt26xbx587CwyP/8Xb58\nucBxD/6/8ff355NPPgFg8ODBqFQq2rdvz8cff4ydnR2enp5Fnr9Bgwa6ltF7jh07pnuWFPITy0e1\nyBYVU0WRhPMh8nLyiJ8WD2rw2+aHWiOj0IWoTPvi97EobBGtHVuzsc9GLI0sH3mMWqWmR4MevOT9\nEnvi9vDajtdoZNuId9q8g71Z4Yfvi3I1/SpLjywlIiWCcU+PY9azs8rth7JKpcLZwhlnC+dyqa+i\nOVk4MbHtRCa2nUjktUi+Pfstc/bPwdTAFK86XjSs25CGtg3xrev7WM+uRt+IZvu57eyL30c9s3r0\n8u3F5n6bda3YD1KpVHhYe+Bh7cHIFiNRFIXIa5Hsjd/LhjMbSM9Op7lDczq6daS9c3uMNcZF1gOQ\nmpVaKKFMuJ2ANk+LSqXC3tRel1B2cu+Eu5U79qb28lhVDRAeHs68efPo27cv27Zt48iRI6xZswZD\nQ0O++OILRo0axejRozEyMuLMmTNER0fz7rvvolKpcHFxITQ0lEaNGmFqaoqrqysajYYVK1YwYMAA\n9uzZw48//oi5+b//Lx5shWzTpg3p6ens3r2blStXAvlJ6Pvvv0+fPn2KjTsoKIilS5fqYt+yZQsR\nERG6QUOQ30V/5MgRkpKSMDY2xtq66DnCK2u2Ckk4i3E36S7Rb0RjP9we277yAL0QlelwwmE+PvQx\nvja+rHt5HXVN6pa6DpVKRVfPrnT17Mr+i/sZ/cto6lvWZ1K7ScUmewm3E1gctpiLty4yoc0E5j83\n/3EvpUZpaNOQOR3nAJClzSL6RjTnrp3j15hfWXp4KenZ6SV+dlVRFP5O+Zvt57YTlhCGh5UHvXx7\n8U6bd8rUda9SqfCz9cPP1o8xrceQm5fL6aun2Ru/lxXHV6DN09LasTV1jOtwIfUCF1Mvcjf3LgCW\nhpb/tlA6tKCPbx+cLZzRV8uvyJpMpVIRFBREZGQkrVu3xsbGhg0bNuhaFffu3cvUqVPp0KEDarUa\nX19fxowZozt+/vz5TJs2jQULFjB06FD++9//smrVKmbOnMm8efN4/vnnCQ4OZtWqVQXOef8fKkZG\nRrRq1Yrk5GQcHR2B/IRTUZRiu9MBPD09Wb9+PdOmTWP+/Pn06tWLoKAgTp06pSszceJEhg8fjre3\nN46OjkRHRxc58fzjTEZfGiqllkzEtmvXrgLzXT1M6r5ULs29hNfnXpj4VMzgAyFEYaf+OcW8g/Nw\nMndi6jNTcTBzKNf6jyYeZfHhxdQ1rsvkdpN1UwHF3YxjUdgirt+5zqS2k3ja6elH1CSKc/+zq5HX\nIjl37Zzu2VUncyca2jbkn/R/OHHlBI1sG9HHtw/tnNuVy3OoD5OTm8PRpKPcvnsbdyt36lvWf2ir\npyhoz549dOvWrURlS/P7tio999xz+Pv7ExISUtWhPNFK+tmQP9/uoygKCYsSyAzPpNH2RuiZVewP\nQCFEvoiUCD46+BEWhhYs7rIYF0uXCjnP005Ps6nvJk5fPc2sfbN0I7lz8nKY3G4yTe2bVsh5a5OS\nPLva3rk9czvOrdQuaY2ehmdcnqm084nq73FW/RGlJwnn/6e9pSV6VDSW/pY0+KqBPJsjRAXJyc0h\n8lokp/45xV///EXMzRjsTOwI6RCCZ52iH5Avb83sm7Gh9wairkehQkWDug0q5by12ZP27Kqo+Sqr\nK1nkk4QTyDiTQezEWNzmuGHRrnxGNgoh8ucgPJt8VpdcJqQloK/Wp6FNQ1o4tGBM6zF4WHtU2ahs\nn7o+VXJeIUTV++OPP6o6hFql1iecV7++yrWt1/D9zhcDW5nySIiyupV1i7+u/sVf//zFqX9Ocf3O\ndYz0jWhi14QWDi140ftFnMydpEVBCCFqoVqbcObdzSNuUhz61vr4bfFDpSe/BEX1oc3TkpqVWmB1\nmeJeZ+RkoEKFgoKKqvkc5yl5mBuY08yhGS0cWjC4yeAqm4hbCCFE9VMrE86si1lEj4rG8S1H6vYo\n/XQrouJk5mRyLOkYjuaOeNepnitRlLfMnEx+Ov8TW89tJUubBYC+Wh8rQ6sCK8tYG1njYOZAQ5uG\nutfWxtYY6xtLq6EQQohqrdYlnDd33yRhSQJeK70w9pApMaqSoihcvn2ZsIQwwhLCiLkRg7HGmJb1\nWhKZEomhviHv+r9bI9ce1uZp+ePCH2wK38S1zGv0aNCDlS+sLPOKOEIIIUR1VmsSTkVRuDjnItkJ\n2fj94IeesUx5VNmyc7M59c8pDicc5kjiEW7fvY2LhQvtnNsxpvUYvKy9CrTUnU0+y/TQ6dQ1rsv0\nZ6bjZOFUhdE/PkVROJp0lI1/byTyWiSd3DvxQYcPcLV0rerQhBBCiApVaxLO9OPpGDoZUn9G/aoO\npdZIzkjmcMJhDiUcIiIlAn21Ps3sm9HOuR3Dmg175DKFTeya8F2f7ziedJzxu8fjZuVGcPtg7Ezt\nKukKysf56+f59u9vOXT5EC0dWzKixQia2DWp6rCEEEKISlNrEk5jb2Mc+pfvqiUiX9rdNN2KIpHX\nI4m+Hs3d3LvYmtjS1qktg5sMxs/Gr8wribRybMWW/ls4eOkgr//0Ok3smjCp7SSsjYteF7Y6uJJ2\nhe8jvmd37G7crNx4pfErzHx2ZpVN/yOEEKJ0RowYQW5uLuvWravqUGqEWpNw6lvVmkutMCkZKf8m\nltciuZB6QTc62cfGBz8bPwY3Hox3HW8M9Q3L/fz+rv484/IMofGhDPlhCO2c2/H2029jYVj1c6cq\nisKF1Av8efFPfjz/I6YaUwY2GsgPA3/QrWYjhBCi+ujUqRMHDhwAQK1WU69ePfr06cP8+fMxMDDg\n008/reIIaxbJwkQh2bnZHEs6xvGk45y7do7EtEQAbExs8LXxpaFNQzq5d8Ldyr3C1z9+kEql4jn3\n5+jk1olfYn5hwJYBdPbozFut3sJEU3nr3mdpszhx5QRhCWEcTTxKRk4GHlYePOPyDOteXlctkmAh\nhBDFU6lUjB8/nuDgYHJzc4mIiCAoKAgzMzNmz56Nubl5VYdYo0jCKcjNy+Wvq3+xN34vYQlh5Obl\n0tqxNa0dW9O3Yd9qOVm3SqXiRe8X6e7Vne3ntvPyppfp5dOLoBZBFdK6mpSWpBtNf+7aOQz0DGhZ\nryXtnNvx5lNvYm4oP5iEEOJJY2pqip1d/riAevXq0bt3b06fPg0U7lKfP38+33zzDRcvXsTJyYkx\nY8YwduxYXV0bN25kzpw5XLx4ESsrK3r06MHKlSsr/6KqKUk4ayFFUYi4FsHe+L0cuHSAzJxMmts3\np6NbR8a0GoOx5smZLkqtUtO3YV96+fRiY/hGXvzuRXr69MTVwhVDfUOM9I0w1jfGSN9I93X/awM9\ng0LJtDZPy5mrZwhLCONwwmFuZN3A0cyRds7tGNliJD51feRZTCGEqAEURdF9f+nSJUJDQ+nbty9Q\neK11IyMjVq9ejZOTE8eOHSMoKAhPT0+6d+/OlStXCAoKYu3atbRp04bk5GROnTpV6ddTnUnCWQso\nikLczTj2xu9l38V93My6SUObhnR068h/mv6nRnT/6qn1GNxkMAP8BvBrzK/cuHODrNws7uTcIUub\nlf+Vm0VWTlaB13e1dwvVpaDQ1K4pbZ3bMqjRIOqayOIAQtQ2OTlw/jyEh6v4+2+IjFRx9y6oVGBl\npeDkBE5O4Oys4OgIzs5gZwd6MuPeE0NRFBYtWsSyZcvIzc0lKyuLLl26MH36dN3++xPSCRMm6L6v\nX3oItq8AACAASURBVL8+oaGhbNu2je7du5OUlIShoSHdu3fH1NQUFxcXWrZsWenXVJ1JwllDKYrC\n1sit7IrdRVJaEp7WnnR068gnz39So5cc1Ohp6OnTs6rDEEI8IfLyID4ewsPh7FkV4eFw+7YKjQa8\nvRUaN4ZevRSmTVMwMQFFgdRUSEyEhARISlJx+jQkJcHVqyry8vLrNTICJ6d/E1MnJ4UmTcDKqkov\nt9qIHhNNdmJ2udRl4GSA9/LSr0ynUql4/fXXGT9+PHl5ecTFxTFlyhQmTpzIsmXLCpX/+eef+fjj\nj4mNjSUjI4Ps7Gw6dOgAQPPmzWnSpAne3t50796dbt260atXLzQazWNfX01RqoTzww8/5P3333/k\nNlG1/kn/h7G/jqWdcztmB87G0dyxqkMSQogqlZubnyBGReW3WoaH5yeIajW4uys0agSBgQpvvZXf\nglkclQqsrfO/GjcGuL/sv9/fuZOflOZ/qTh8WIWFhSIJ5/9XlgSxIlhZWeHh4QGAl5cXt2/fZsiQ\nISxYsKBAubj/1959h0dVbX0c/+6TNqmTQBoloYQOUlSKSEdEQFC5CF4LVux6RVTUK4qiICqCVL0K\nvmIvIIIIiBIUULCB0pFAgATSE9Lr2e8fByJIMSEzmQlZn+fJk2QyObNmHPDHLmvv28e1117L+PHj\nmTFjBna7nZdeeom9e/cC4OHhwZo1a/j+++9ZtWoVTzzxBNOmTWPdunUSOo+pVOBctGjRKeHydLcJ\n11m2Zxmzf57Nq5e/Stuwtq4uRwghqoXWkJIC+/dDfLw69hmSkqw1eB4e1ihjs2bQvr3m+ushPFzj\nrP2Qvr7QrJn1cXIoFe5MKUVZWRnFxcXl3wNs3rwZPz8/nnnmmfL77tu376Q1noZh0KdPH/r06cPD\nDz9M/fr1+f3337n44our90m4qQoFztWrV/P1119z+PBhHnvssfI1DUePHnW73cu1VX5JPuO/GY+P\npw9LRy11yk5tIYRwtT17YOdO2LdPER8Phw4pysqsn4WHaxo3hiZNoHdvzS23QESExpA9fuI0tNbk\n5uaSlJRk7XXYt4/JkyfTo0cPgoKCyu8D0LRpU7Kzs1m4cCHdu3fn448/5tdff+XCCy8EYNOmTaxd\nu5bLL7+ckJAQFi1ahM1mo1EjOd3wuAoFTm9vb/z9/TEMA39///L/APXr1+fJJ590aoHin/125DfG\nfzuex7o/xoCmA1xdjhBCOFxJCUyYoEhOhp49oUMHzdVXW5t2ZMZSnAulFDNnzmTmzJkopYiIiKB/\n//68+OKL5T8/PqjWqVMnJk2axOOPP05hYSEjR45kzJgx/PrrrwDY7XbWrl3L9OnTyc/Pp02bNnz6\n6aeEhYW57Pm5G6VP3IL1D7Zs2ULHjh2dWY/TrFy5kgEDzq8wZmqTaT9OY3PSZmZeMfO83gwkhKi9\n9u2D++83uP12k2Mda0Q1W716NVdccUWF7ns+/v9WnFlF3xuVWsPZtm1bPvroI+Li4igrK0NrjVKK\np59++pwLFecmITuB+1fcz9AWQ3n/mvdlaYMQ4rz08ceKhQsVc+eaNG7s6mqEEOeqUoHzuuuuIzk5\nmS5duuAhzcZc5rMdn7FgywJmDJxBi7otXF2OEMLNHd8xnZBg7ZhOTAQ/P+jYUdOhA7jjCX55efDw\nw4qwMFiyxJRpcyFquEoFzm3btrFz504MWYFdIWVmGd/u/5YoexQt6rSo8rnjOUU5jFs9jgj/CL4Y\n9QVeHvI3sBCukpEB776raNNGc+mlVoCrbsd7QlpB8q8wmZgIKSl/9YT09f2rOXmDBnDJJZq8PFi3\nTjFnDuTmKux2TceOVgjt1AnquvC8gz/+gHHjDB5/3KR/f9fVIYRwnEoFzujoaEpKSvDxkR3Q/+TX\nI7/yVOxT9Ijqwer9q9mTvgdTmzS2N6ZTZCc6RnakbVjbCu8m35iwkQlrJzCh5wR6Nerl5OqFEGdS\nWgpvvqlYskRx990mW7cqXn9dUVICF1+s6dtX07UreHs79nGLimDLFvjpJ8XPP0NmptVDMiTkrzDZ\nsKE1YmmdevPPu7OvuOL4En5NVpZ1/c2bFe++CxkZCl9fuOACTadOVgitXx+ntRECK0DPm6dYs0bx\n/vsmx464FkKcByoUOOfMmQNAixYt6N+/P8OHDy8PnUop7r33XudVWMMcLTzKM989Q05RDv837P+I\nCIgo/5nWmviseLYkb+HzXZ/zwvoXKC4rJtI/kk71OtExoiMdIjrg7+1f/julZilT1k8hLjOOT0d8\nSrBNugYL4SqxsTBlisHIkZqvvjKPHWOoefhhTUkJ/PILxMYqpk2zwuAll1gBtFOnyh15qDXExVnh\n8qefYO9ehbe3tTO7Sxerh2Tduo7t7RgcDH36WM3Pj1VBfr412rh5s2LZMmsE1csL2rXTDByoueQS\nxx3lmJEB992n6NIFPvnElFZGQpxnKhQ4f/755/JNKc2aNWPr1q1OLaom0lrz8faPmb9lPv/t8V/6\nNO5zyn2UUjQJaUKTkCZc0+qa8tuP5Bxhc/Jm1h5Yy8yfZpJXkkewTzAdIzsSGx/L9e2uZ0KvCdX4\nbISoOZKTrTOsnTnyFh8P//2vIiLCCkOnOy3GywsuucQKmaApLIQff4SlSxXPPmuNFvbsaQXQtm1P\nrjczE376yQqYW7ZYZ3bHxGi6dIH77tM0a+a8BuVn4+cH3bpBt25/hdDiYvj9d1ixQjF5siIyUjNk\niGbAADjWurDS1q2DZ581ePFFE+mRLcT5qVJtkWoyZ7Zp2JO+h/Hfjqdrg6483O1hvD2qPpeWWZDJ\nluQtxITEEG2PdkCVQpxfioqsELh3ryI/H/r101x/vSbagX9c8vLgpZcU27Ypnn/epHXrc79WTg6s\nX2+NgO7YoQgOtvpHpqVZX3fuDF26WOsobTbHPQdnS0yE5csVq1crSkuhf3/NlVfqCu0oLyuDF16w\nGri/9pp2y81LwlKZtkjffPMNpaWlTq5IuAtPT08uu+yyf7xfpQLnnDlzTmm/Y7fb6dKlC82bu8e5\nqGfijMBZUFLAixteZFf6Lqb2n0rj4MYOvb4Q4vS2b4eHHza4/36ToUOt4BIbCx98oEhPV1xzjWb4\ncH3OI25aW+143npL8dBDJkOGOH4ENSPDqvt86gudnw/ffgtffqk4eFBx4YVW+OzS5dSp94QEuPde\ng2uv1dx0U60Y96jRKhM4hTidSgXOK6+8knXr1tG/f3+01sTGxtK5c2d27drFxIkTuf322x1S1OHD\nh5k+fTo5OTn4+/vz0EMPERUVdcr9vv76axYtWoTWmvbt23PPPfecsV2TowPnir0rmPbjNB7s8iDD\nWg5z2HWFEGemNcyZo1i7VjF7tklk5Kn3yc2FJUsUixYpgoI0//635rLLwLOCWyR/+w2eftqgd2/N\ngw9qZI/kuTFN+PVXK3z+/LOifn0rfF52mfWPg9mzDWbNMmkhnd1qBAmcoqoqtUtdKcW2bdvKw9+h\nQ4e4++67+emnn7jsssscFjjnzJnDoEGD6NevHxs2bGDmzJm8/PLLJ90nKSmJ999/n5kzZ2K323n+\n+eer5Q9EQnYC478ZT5Q9ii9GfXHSBh8hhPMkJVmnzfTpo/n0U/OMI44BAXDjjZobb9QkJMCHHyqm\nT1e0b2/d1qHD6X8vJQWeecY6l/utt04fZkXFGQZ07gydO1trWg8dsqbeb7lF0bixZulSU8K8ELVI\npQLn/v37TxppjIqKIj4+nnr16uHloK68WVlZxMXFMWnSJAC6d+/OG2+8QUpKCuEn9Mj44Ycf6N69\nO3a7HYArrriCxYsXOy1wlpqlzPppFmvi1zCl3xTahbdzyuMIIU715Zcwc6bBq6+atKvEH72GDeHR\nRzWPPKLZsgXeecdaP3n55dbIZ716UFwMc+daaxAnTjTp3Nl5z6M2i4qCu+/W3H23TJ8LURtVKnBG\nREQwefJkbr31VrTWvPPOO0RERFBWVuawoxXT0tKoU6dOeXN5pRRhYWGkpqaeFDhTU1MJO2HxU3h4\nOKmpqQ6p4e9+OPQDz37/LDe0u4Glo5bKMZJCVJP8fBg/3moJtHSpec6baZSCTp2gUydNSYlm9Wp4\n7DFFXp4iJwduvlmzbJm04hFCCGepVOBcuHAhDz74INOmTQOgT58+LFy4kJKSEhYuXOiUAqtbSVkJ\nO9N2siVpC5uTNrM3cy/RQdF8OPxD6vjWcXV5QtQamzfD+PEGjzxicvnljruulxcMHgyDB2uyszUe\nHuAvK2OEEMKpKhU4GzRowKJFi077swsuuMAhBYWGhpKRkYFpmhiGgdb6lNFMgLCwMFJSUsq/T0lJ\nOeU+J0pPT+eFF1446bYys4yo9lEUNyxmS9IWDmUfwsvDi9ahrekU2Yn7Ot9H05CmGKriwx5lZVYr\nleMfHh7QpEmFf12Iard3L0yZokhLUyhlrb0LDtYEB1P+ERJy8m3W91ZQc/SAv2nC9OmKX36BDz4w\nCQ117PVPdK672IU4X33//fesW7fulNtjYmJcUI04n1QocG7YsIFLL72U5cuXn3Y6efDgwQ4rKDg4\nmKZNmxIbG0v//v354YcfiIiIOGk6Hay1nePHj+e6667DbrezYsUKevU685GPQcFB9LyxJ5uTNrMl\naQtpBWnYPG0QAm19OjGm5RBsxQ3IylJkZUHWFsXXWVZD5uxsa2rPCpFWU+YzMQzw99f4+1tNk48e\nhZISeP55x/YHFKKqDh60gmZuLjz5pKZ1a2ttXWmp9Z7PzLTO6c7MtN7HycmK3bv/+j4z0/rzAFZI\ntNmgVStNu3bQtq2mRQtrNLEyEhKsjUFXXqn54APXNDsXojbr1avXaf9funr1ahdUI84nFWqLNGbM\nGN5880369Olz2sAZGxvr0KISExOZMWMGOTk5+Pn5MXbsWKKiopg1axZdu3alS5cuAKxataq8LVKH\nDh3O2hbpsekv8HWcB7bMTgTld8Kn9K/RUJtNExICdvtfIzfW99btgYHWSM7xDx+fyo3qbNsGEyYY\ndOpkbV7w86vSyyNElRw5AlOnKo4cUTzxhEnHjo65bkEB7NoF27crtm6FP/+0zhe3262Tddq1sz43\nbsxp10ouWgRvvWXw2mvSKkcIdyNtkURV1ZqThhYvXkm/fgMICHDuEXhnojUsXQqzZhncdZdmxAgZ\nvRHVKy0NXn5Z8eefivHjTbp2rZ7HPXrUatS+fbti+3bYv19hmhARYQXQNm00ixcrQkPhmWc03lU/\nqEsI4WASOEVVVWoNZ2lpKbNnz2bv3r3Mnj2buLg4Dhw4QL9+/ZxVn8P4+eHSY9OUgquugoEDTWbM\nUFx1lcGkSeYZewIK4ShZWdaayN9+UzzyiEnv3tX7b0y7Hbp3h+7d/zqPG6y+l9u2wbZtihtv1PTs\nWa1lCSGEqEaVCpwPPPAAJSUlrF+/HoA6deowatQofvnlF6cUdz6y2eDxxzWJiZqnn1b4+sLEidqp\nGyNE7ZSbC7NnK77/3jqeceJE9xpVDw+Hfv2sM9CFEEKc3yrVde6HH37gzTffxNfXF4CQkBBKSkqc\nUtj5rkEDmD9fc8MNmptuMpg1y1rvJmou04R9+6Cw0LV1FBTAjBmKf/3LoE0bzfLlVlshdwqbQggh\napdKjXDabLaTNg2VlZVhmqbDi6pNLrkEli83WbhQMXiwwWOPmTjwyPcaoaAAEhOtHcqJiYrEROs4\nvL59XV3ZP0tJgdWrFatXQ0qKIiZGc+SI1cnAz89an3h8s0yzZhU/z/tcFBfDggXWGeJjxmhWrJBG\n5kIIIdxDpf731759e9577z1M0yQ+Pp4pU6actRWRqBjDgFtu0QwfrnnhBcX8+fDCC5qa3vZMa2v9\noBUk/wqTiYlWODv+bxVfX039+tYxhA0aQLdums8/V3z0Ebz4otUpwF2UlMCPP8LXX1trIkNDNQMG\nWHVGRp68RjE3F3butDbLvPUWxMVZ53SHhFgBtG1bq4VQdPTZRx9N02pBlJJy/EOVf52aan1fUmLV\ndt11VtB0ZrAVQgghKqtCu9Sfe+45+vXrR/v27Xn00UdZsmQJWmuGDRvGjBkzCAgIqI5aq2TlypUM\nqCFDh3v2wFNPGTRrprnzTk1UlNVA3t1pDX/8AR9/rPj9d4WXl9UsvEEDK0g2bPhXsAwPP31rnBP9\n8AM884zBvfeaXHNN9TyH04mPtwLmt98q8vOtQDxwoObCC//5OZxORsbJu7YPHrTCd/36Vv/W1FTI\nzlblIVQpqFNHExZmvW7h4RAWpsu/Dg21WnUJIYSzyC51UVUVCpx33HEHa9eu5ciRI3Tv3p2+ffvS\nt29fOnfujGcNGUpZuWABA0aOhGPrT2uCVavgyy8ViYnWyBhAZKSmcWPr9KLGjTVNmlihw5Xr8/bs\nsULmhg2Kdu00o0ZpLr7YMTUVFcHkyYq9e+GVVzT16lX9mv8kPx+++86aKt+5U9GokRUw+/a1erQ6\ng9ZWf8z8fIiIwGXtu4QQ4nQkcIqqqlQfzkOHDhEbG8t3331HbGwsaWlp9OjRg6+++sqZNTrEytdf\nZ+CyZejwcPR110HfvjVj2PAEpgnJybB/P8THq2OfrSlVsJ5OVNTxQKpp2hRatLB2xjvagQPwySeK\n2Fhr3eLIkZpLLz23Eb+K2LrVOld7xAjNrbc6fre1acKaNfD224qCAkXv3prLL9e0aiXBTwghJHCK\nqqp04/eSkhI2bdrEmjVreO+998jNzeXw4cPOqs9hyqfU4+NRH32EWrsW3aYN+t//xmHDcS5WUgKH\nDv0VSOPiYM8ex21gOXIEPvtMsWqVol49zbXXavr1c+5GmBOVlcGsWYq1axXTppkOWeOang7vvKNY\nuVLRq5fm9turZxRVCCFqEgmcoqoqFDg3bNjA2rVrWbt2LfHx8XTp0oXevXvTp08fWtSQM+hOu4bz\njz9QH3yA2rwZfemlVvhs3tw1BTrZiRtYtm2r+AaW9HT4/HPFl18q7HbrhKTLL3ftmsH9+2HcOIMe\nPTQPPqgrHXi1ho0b4c03FdnZiptvNhk0qPqCsxBC1DQSOEVVVShwGoZBt27dmDBhAoMGDaqOuhzu\nrJuGTBPWr0d9+CHqwAH0FVegR46EyMjqLdIFzraBJSND4empGT4cBg+2NrS4C61h4ULFRx8ppk41\nad/+n38nJwc++EDx+eeKTp00Y8ZYyw6EEEKcnQROUVUVCpzHRze/++47EhIS6NatW/kIZ7Nmzaqj\nziqr8C714mJYtQr1ySeovDz01Vejr7jC2plTSxzfwOLvbx1L6M6SkuCRRxRNmsB//6tPu171jz/g\njTcUhw4prr9ec801WnZ1CyFEJUjgFFVV6TWchYWFbNq0ibVr1/LBBx+Qm5tLYmKis+pzmHNqi5Sd\njVqyBL77DpWcDF5e6JYtoUMHdPv20LKlzMO6iS++gNmzDZ55xqRHD+u0n88+s0ZAY2Ks9lJt27q6\nSiGEqJkkcIqqqlRaOnz4MGvWrGHt2rXExsaSnJxMz549nVWb6wUFoUePhtGjrVbeJSWwaxfqjz9Q\n77yD2rMHSkvRkZHQvr0VQjt0wK06ldcSV10FvXubPPmkYto0RWEhjBih+egjkxrQJlYIIYQ4r1Uo\ncI4ZM4a1a9dy+PDh8j6ct99+e43qw+kQXl5wwQXoCy6AG26gfGg4KQl+/x3188+wYAEqMxN8fNCt\nW6O7dIEhQ5zXL0iUCw6GuXM1ycna5b1JhRBCCPGXCqXFhg0bsmDBArp27Yq3t7eza6p5IiMhMhI9\ncCBw7GDDwkLYsQO1Zg1q3jzMZ5+Fzp1dWmZtERHh6gqEEEIIcaJKr+GsqVx6tGVKCurppwHQkyZB\nWJhr6hBCCCHOgazhFFUl87zVITwc/frr6Ntuwxg9GjVrFpSWuroqIYQQQohqUWsCp+kOA7ldumAu\nXw4BARiDB8Pata6uSAghhBDC6WpN4NyUk8Oy9HRcvoLAMNC33or5ySeopUtRo0dDQoJraxJCCCGE\ncKJaEzg7BwayJTeXq3bs4OecHFeXA8HB6FdfRT/2GMZ996GmTIGiIldXJYQQQgjhcLUmcHoqxYRG\njfhf8+a8k5zM6F272FdQ4OqyoF07zCVLoFkzjCFD4MsvXV2REEIIIYRD1ZrAeVyktzezmzXjieho\nnoyP5+G4ONJLSlxblFLoa6/F/OIL1KZNGNdeC3/+6dqahBBCCCEcpBZ1bT9Zaz8/Pmrdmu+PHuWm\n3bvpa7dzf/36+Hp4uK4of3/0pEnouDiMJ59EN2uGHjMG6tcH6X8qhBBCiBqq1gbO43rZ7fQMCmJR\nWhpDt2/nlogIrg8Px3DlMTUxMZgffwwrVqBefRV15AgUF1s/8/BAR0RYIbRBA/SxzzRoYB2pKcfr\nCCGEEMLN1PrACaCUYkRYGMPq1uWNI0cYtG0bjzRsyABXn4k+aBB60CBO2ldfWgrJyZCYCIcPo+Li\nYN066+uMjPK76YAAaNkS/dhjYLNVe+lCCCGEEMdJ4DyBt2HwQIMGjI6IYOqhQ7x+5AhPR0fTISDA\n1aX9xdPzrxFNOCmMnhRMc3IgNhZj+HDMBQus4zeFEEIIIVxAAudp2D09mdykCYeKiph04ADJJSX8\nfaLaWylshoHNMPA1DHyOfX38++Nfh3p5MaROneqfog8MhGHDMJs1w7jxRsxXX4X27au3BiGEEEII\nJHCeVZSPD/9r0eKU27XWlGhNoWlSYJoUnvBx4vdFpsmu/HzeOHKEV5o2pZWfX/U/iTZtMD/6COPW\nWzHvvBOGDq3+GoQQQghRq0ngPAdKKbyVwtswCKrA/a8LD2dcXBwdAwJ4tGFDvIxq7kYVGor52Weo\nBx6AP/9Ejx0rm4uEEEIIUW1qXR9OV4jy8eHj1q1parNx5fbt/OKKk458fNBvvAGmibr33r92vQsh\nhBBCOJkEzmqilOK68HDeb9WKuYcP8+i+feSXlVV3EehHHkEPGoQxYgSkp1fv4wshhBCiVpLAWc1C\nvbxY0LIl/YKDGbZ9O2uysqq/iGHDMJ97DmPUKNi1q/ofXwghhBC1igROFxlUpw6ft2nD0vR07v7z\nT7JKS6u3gI4dMd99F2PsWFi9unofWwghhBC1igROFwr09GRGTAw3hYdz7Y4dfJ6WVr0F1KuHuXgx\n6t13UfPmVe9jCyGEEKLWkMDpBi6121nWrh2bc3O5YdcukqqwoUdrTVJxMT9mZ1dsut7XF/3OO5CS\ngho71jrJSAghhBDCgaQtkpuwGQbPNW7MH3l53Lp7NyPDwrglIgJ1mvZFWaWl7C8sJL6wsPxzQnEx\nZdo6ayjCy4smNhsHiorYk5/P3fXrn/3BlUI/8wzq448xrrsOc/58sNud8TSFEEIIUQtJ4HQz7f39\n+bJdO2YmJjJ8xw4GhISwv7CQA4WFFB0LlHYPDxrbbDSx2egUEMDw0FAa+vjg+bdwqrXmjj//pH56\nOsPq1v3Hx9ajRqEbN8YYMQLzjTegaVOnPEchhBBC1C4SON2Qh1KMbdiQq0ND2ZWfT7/gYBr5+ODr\n4VGp6yilmNesGaN27iTcy4tuQRVoU9+1K+b8+Rh33IG+8Ub0iBHgihOShBBCCHHekDWcbqyJzcag\nOnVo5edX6bB5nLdh8E7Lljx94AB78vMr9kvR0ZhLlkBpKcaoUah77oGNG+HYCKsQQgghRGVI4KwF\ngjw9+b8WLbh3716SK7ohyc8PfdttmMuWoR96CLV0KcbAgahXXoGkJOcWLIQQQojzigTOWqK+jw8z\nY2K4efducit7wlHLlujJkzG/+grdpg1q3DiMkSNhyRI5IlMIIYQQ/0gCZy3Sxt+fJ6OjuXX3bkrP\nZXrc0xMGD0a//z7m3LmoQ4cwhg1DjRsHW7c6vmAhhBBCnBckcNYyvex2RoWFcf/eveiqrMkMDUU/\n8ADmypXoG29EzZ+PMWiQ1UA+M9NxBQshhBCixpNd6rXQiLAwEouLef7gQSY0alT1C3bqhO7UCV1U\nBMuWYYwZg/bygvbt0a1aQatWEBMD3t5VfywhhBBC1DgSOGup/zRowCP79vF2UhK3RkY65qI+PjBi\nBOaIEdYo586dqN274e23UXFxUFIC3t7o5s2hVSt0y5ZWGA0OdszjCyGEEMItSeCsxV5q0oRbdu8m\n0tubQXXqOPbiISHQvTu6e3cAyifvCwth717YvRv1zTcwZw7q6FHrtKOoKGuDUsuW0L07BAQ4tiYh\nhBBCuIQEzlrMUIr/tWjBtTt2EO7lxUWBgc5/UJsN2rWDdu3KQ6gGME1ISIBdu1A7d6Jefhk9Zgz6\n2mvhNMd7CiGEEKLmkE1DtZzNMFjYsiWP79/P/sJC1xViGBAdDZdfjv7PfzC//BL27cO45hrYudN1\ndQkhhBCiyiRwCkK8vJjfogVj9uwhraTE1eVYfHzQjz+OOXMmatIk1BNPQF6eq6sSQgghxDmQwCkA\niLbZmNa0KTfv3k1+ZRvDO1N0NPqDD9C9emFcdRUsXixHbAohhBA1jFut4SwsLGTWrFn8+eefGIbB\nzTffzCWXXHLa+w4bNoxGjRphGFZmvuuuu2jTpk11lnve6RAQwMMNGnD7nj2816oVHu60dnLQIMy+\nfVGvvIJ6/33MF1+E5s1dXZUQQgghKsCtAufnn3+Ot7c3//vf/0hOTubRRx/lggsuIOAMu5Vffvll\nbDZbNVd5fusfEkJSSQkPx8UxIyYG5U6h02ZDP/UUet8+jCeeQLdsiX78cfDzc3VlQgghhDgLt5pS\nX79+PUOGDAEgIiKCtm3bsmnTJhdXVfvcEB5OI5uNYdu38+KhQ2zKzj63ozCdpWlTzI8/RnfubE2z\nL1vm6oqEEEIIcRZuFThTU1MJCwsr/z4iIoLU1NQz3v/xxx/nwQcfZP78+RS6cof1eejhhg35rE0b\nLgkMZEVmJtds386IHTuYkZjI77m5mO4QQIcOxVy6FPXLLxgjR8K+fa6uSAghhBCnUa1T6uPHlXyj\ndQAAIABJREFUjychIeGU25VSzJgxo1LXWrBgAaGhoRQWFjJ37lzefvtt7rnnHkeVKgAfw6B3cDC9\nj50ElFdWxvrsbD5MTeXJ+HiCPDzobbfTLziY5r6+rpl+9/VFP/sseu9ejMceQ7dvj37sMavfpxBC\nCCHcQrUGzqlTp57152FhYaSkpGC32wFISkqiS5cup71vaGgoADabjcGDBzNnzpyzXjs9PZ0XXnjh\nlNt79uxJr169KlJ+refv4cHAkBAGhoQAkFlSwrrsbOYdOcKeggLCvbzoExxMX7ud6OoOfM2aYX76\nKXzxBcbQoeiOHdFXXgmXXgqe1fQ2LymxRllbtJBm9UKIGun7779n3bp1p9weExPjgmrE+URp7Q5z\no5YPP/yQ5ORkHnroIZKSknj00UeZN2/eKZuGcnNz8fT0xGazYZom8+fPJzc3l7Fjx57x2itXrmTA\ngAHOfgq1WnJxMd8dPUpsVhYJRUXnvMtdA6FeXjwRFUUzX99zuICGrVtRX36J2rABHRoKQ4agBw6E\nY/+YcQjTtB5nzRrU+vVQVoZu2BC1dy/6xhvRI0eCt7fjHk8IIVxk9erVXHHFFa4uQ9RgbhU4CwsL\nmTlzJnv37sUwDEaPHk33Y2dxr1ixgoyMDG644QZ27drFnDlzUEpRVlZGs2bNGDNmzBl3s4MEzppm\nR14ekw8dItDDgyeioqo2YpqUhPrqK9SqVVBUhO7Xzxr9bNq08tfatw/17bfw3XeorCx0u3bo/v2t\nkdTju+ULClDvvYf69FPrse68Exx9Vr0QQlQjCZyiqtwqcDqTBM6aaXNuLlMOHqS+jw/jo6KoV9UR\nw4ICWLMGtXw5av9+dKdOVvjs2hU8PE69f3IyKjbW+p3ERHSTJlbA7N37n0OkacLKlRj/+x86Ohr9\nwAPSO1QIUSNJ4BRVJYFT1Agbs7OZeugQLfz8eLRhQ0K9vKp+Ua3ht9+sqfdNm9D16lnh08vLmibf\ntQsdEQF9+6L79YOGDc/9sbZsQc2aBXl56HvvhZ49ZZ2nEKLGkMApqkoCp6hR1mZl8UpCAhcHBjK2\nQQPsjtwQlJCAWr4cSkutgNmqleND4eHDqLlzUb/+ir75ZvS//gWOCM9CCOFEEjhFVbnVSUNC/JM+\nwcH0ttv5OiuL63bupHdwMPfXr0/A6abDK6thQ/Rdd1X9OmdTvz76+efReXmohQsxBg9GDxyIvuMO\nONZ+SgghhDjfuFXjdyEqQinFwJAQvmrXjta+vgw/1pC+0DRdXVrF+fuj77kHc9UqdMuWGKNHo8aO\nhV9+gdJSV1cnhBBCOJSMcIoaSynFVaGhDK1bl09TUxm6bRsjwsK4NSICb6OG/FvKMKwTk4YOhV9/\nRS1Zgpo0CQwDfeGF6B49rA1Ncl68EEKIGkwCp6jxDKUYFR7Ov8LCeD8lhSHbttE7OJibIyKI8vFx\ndXkVd9FF6IsuQgMUFVkbmtavR82dCwUF6Nat0T17QvfucOzgg3OiNSQnWy2e4uOtZvXx8dC7N/qm\nmxzzXIQQQogTyKYhcd4xtSY2K4uFKSnklpVxfVgYQ+vWrTmjnqdjmrBzp9VgfsMGVHo6OioKevRA\nX3opNG588gan3FzYvx/i41HHAqU6eLB8ul5HRECTJtC0KbpxY2jcGDVvHqSloadNg5oU1IUQTieb\nhkRVSeAU57WMkhI+TE1lWXo6bf39uS0igrb+/q4uyzEOHkRt2ADr11sjld7eVjAFtL+/FUKPB8qm\nTSEq6p93xC9bhvH665j/+x80aODsZyCEqCEkcIqqkil1cV6r4+XFffXrc1/9+vyWm8vrR46wv7CQ\na0JDGRkaSmB1nbPuDNHR6Oho+Pe/rWn4kpKqt1gaOhSzVSuMW2/F/O9/rQb3QgghRBXV4P/bClE5\nFwYEcGGzZhSUlfF5ejo37d5NmJcXt0RE0D0oCFXBnptaa9JLS9lfWEh8YWH55yPFxZRqTV0vLy4J\nCqJbYCDt/P3P+Uz5SnNUP8/mzTE//xx1772weTP6P/9x3yb1WVmoefOsdlZyfKgQQrgtmVIXtVpc\nQQFvJyfzU04Ol4eEcFN4OBHe3uSWlZ0SKA8WFVFy7I9LXU9PGttsNLHZaGyz0dRmo563N4ZSpBQX\nsyknhx+ys9men48BdAwI4JKgILoGBhJcU0ZVtUa99poVOufOBXdbirBjB8aDD6JHj0a9+y7mpEnQ\nrZurqxLivCRT6qKqJHAKAZRqzarMTN5PTibXNAkwjJMCZRObjWgfn3PaeFRsmmzJy2NjdjabcnLI\nKi0lyseHS4KCuCQwkOa+vhUeXXWJtWsxJk/GnDPHfc6CX7IE4623MN96CyIj4ehR1P33Q8eO6LFj\nrXZTQgiHkcApqqqGDLUI4VyeSjGkTh2GOGFa1tsw6BIYSJfAwPLbDhUV8WN2NvOOHOHPggJshsHF\ngYH8KzSU5r6+Dq+hSvr0wWzWDOPOOzHvvReuvNJ1tZgmauJEyMrCXLzY2igFYLejFy5Evf46xnXX\nYc6bB3Xruq5OIYQQJ5HAKYQLRPn4EBUWxsiwMADyy8r4OSeHiQcOEOrpyVPR0YQdD1PuoGFDa13n\nuHHwyy/op5+u/lHErCyMMWPQgwejb7311J8rhb7nHnTXrhijRmE+95zVs1QIIYTLybyTEG7Az8OD\n3sHBvN+qFdeFh3Prnj1MOXiQ/LIyV5f2Fx8f9OzZ0LgxxqhRkJFRfY+9YwfGiBGYjzxy+rB5ogsv\nxFy8GPX666iXXy5vFSWEEMJ1JHAK4WYuCQpiWdu2tPbz46rt23k7KYkyN1pqrW+5BfPxxzFGjoTf\nf3f+A37xBcZjj2G+9551zGdFBAWh33kHgoKscJyW5twahRBCnJUETiHckFKKq0ND+apdO4pMk0Hb\ntrEiIwO32eN30UWYH32EMXEi6v33nfMYpol65hnUN99Y6zUjIyv3+0qh77oL87//xbjuOli/3nG1\nlZXBxo2oOXPg4EHHXVcIIc5TEjiFcGNehsHd9euzqHVrfszO5podO/gtN9fVZVlCQzE/+wy2b7d6\ndm7aZAUxR8jKskJio0boWbP+2hx0Ljp2tKbY33wTNXXquU+xp6ejPvwQdfPNGMOGoVauRDdsiJow\nAfXvf8O331rn1AshhDiFtEUSogY5XFTEcwcPUmSaTGzUiEY2m6tLsvz8M+rLL1G//oq226F/f/SA\nAdZxmpW1cyfGAw9gvvBCxafQK0Jr1FtvoVauxHz9dTi2YeuMTBM2b0atWIHauNF6XgMHogcOhIiI\nk+975Ih17XXr0Fddhb7pJggKclztjpaQAH5+0ixfVJi0RRJVJYFTiBpoW14ezx44QBObjSeiogip\n4ClDxabJgaKik5raHygsJNc0ifL2ZlLjxtSp6olFGRmob7+Fr79GJSSgW7e2wmfv3lbIOZsvvsB4\n882/+ms6w++/Y4wbh/n009Cr18k/y8qCb76xQuaRI+hOndCDBlkN5SvSsL+kxHoO776Ljo5G33MP\ntGnjnOdRWUlJqM8+Q61ahQ4NRR0+jL79dvS117rvSVLCbUjgFFUlgVOIGiw2K4uXDh3i8pAQ7q1f\nH0+lOFxcfMopSemlpSjAWymifHxOamjf2GYjwMODH7OzmXjgANeHhzM6PNwxzei1hp07UatXo77/\nHsrK0D16WAG0ffu/go5pop59FjIy0NOmVXgK/evMTF5LTOTJqCgutdsrXldODurBB6F5c/SVV6JW\nrkStX4/284MBA6xRzIYNz+EJn2DbNtS8eajERMzRo2HYsIqFVkdKS0MtXoz66it0UBD6X/+CgQPB\nZoPiYmuJwc6d1mter1711iZqFAmcoqokcApRw5la80lqKgtTUvBRivre3qecklTH07NCAbJUa2Yf\nPsy3mZlMadKEdo4+zrKwENavR339NWrbNnREBFx2GeqLL9BXXIG+7bYKXSa9pITx+/dj9/TkkYYN\neSo+nigfH56KjsazokFZa9Q778D27dYoZo8eVVsreiZHj6IWLkQtW4bu3Rt9xx2nTsk7UlYW6osv\nUEuXor29Yfhw9ODBZz6adOtWjMceQ19/PfrGG2W0U5yWBE5RVRI4hRCnSCwqYvz+/TTw8WFCdDQB\nHh7OeaAjR1DffINu3Rouvvgf76615rO0NN5MSmJSo0Z0PWGd5McpKSxMSWFmTAwx7nZaE1hrQr/9\nFjV/Pths6LvusqbqHRHwcnJQy5ahliwBsNaRDh1a8XWkpaWo6dNRmzZhvvoqREdXvSZxXpHAKapK\nAqcQ4oxWZmTwSkIC99evz1V167r0zPfEoiLG7dtHWz8/xkdFnfZc+4OFhdwfF8e/QkMdtyzAGQ4c\nQL3xBmrHjpNvNwx0cDAEB0NISPlnffz7E25Da1ixArVoEaqwED10KPrqq62fnavduzHGjUMPG2aN\nxMqZ9OIYCZyiqiRwCiHOqqCsjKkJCezIy2Nq06Y0qead8abWvJWUxBfp6bzUpAlt/2Gav0xrXk5I\nYHteHq/FxFR9E1R1Ki2Fo0etzUuZmZCZicrKOun741+r0lL0gAHo4cP/ecd9ZZSVoebOtfqfTp8O\nTZs67tqixpLAKapKzlIXQpyVr4cHExs1Yk9+Pg/HxdElMJBxDRuedoTR0f4sKGDcvn0MCA5madu2\neFRgxNJDKR6PiuKXnBxG7dzJk9HR9A0OdnqtDuHpCXXrWh/HnGlEwGkjBR4e6AceQA8ZgjF2LLp/\nf/R994GzllUIIWoFmS8RQlRICz8/FrdpQ1ObjSHbthGbleW0xyrVmpcOHeLx/fuZFRPDAw0aVChs\nnujiwECWtG3Lp6mpjN+/n2IHn6meWlzMqsxMCtzpvHtHatoUc8kS8PXFGDYMdu1ydUVCiBpMAqcQ\nosKUUowKD+ezNm1Ymp7Obbt3k1xc7NDH2Jyby5XbtlHf25vPWreuUnN7fw8P5jZvTvfAQIZt387O\n/PxzvpapNb/k5DDpwAGu3LaNcfv2sTUvj3/t3Mn4/fvZX1h4ztd2W0qhx4zBfP11jKeeQr30kjXt\nL4QQlSRT6kKISrN7ejI9JobfcnO5ZfduLgsJoVNAAPW8vann7Y3dw6PSG3YKysqYdPAgCUVFLGzZ\nknAHtii6KjSUzoGB3B8Xx8CQEO6MjKxQfVmlpXyTmcmKzEySiovpFBDAoJAQnjih/dK4Bg346VgQ\nzSkr4/bISC4PCcFw1w1L5yIqCvPTT1HvvYdx5ZWYL71k9VEVQogKkk1DQogqKdOa5RkZxBUUkFRS\nQlJxMUdLS8vXGPooRaS3N5HHwuiJX4d5eeGhFN8fPcqkAwd4sEEDhp6wftHRTK2ZdfgwP2RnMysm\n5pRQq7Vme34+KzIyWJ+dja9hMCAkhCtCQmjg4/OP108pLmZBcjJrsrIYFBLCLRERFT4FqjqklZSw\nND2drzIyaGSz8XyjRvhWdm3mkSOop59GZWRg3nADXHmlc/qXCrcim4ZEVUngFEI4VZFpklRczJHi\nYpKOfRwpLiappITUkhLKtKaRjw+TGjfGXk0n8fyRl8cj+/YxtkEDetntrMnKYmVGBvsKC2nr78+g\nkBB62O34nOPGqFKtWZ6ezjspKYR7eXF3vXp0DAhw8LOomMNFRSxJT+frzEz8DINhdesyuE4dNmRn\nMz0xkVeaNqX9uTT4z8xEvf++1dC+Y0f07bdDixaOfwJgTeOvW2c1tP/zT2tjU506EBUF0dHo6Gir\nd2h09Jkb3IsqkcApqkoCpxCiViooK+OpAweILyykX3AwV4SEOKVh/K78fF4/coS9BQXcGB7O8NBQ\np+/w319YyOdpaazJyiLUy4ur69bl8pAQ/P42mplSXMwDcXFcEhTEg/Xrn9syAK3h559RCxZY58+P\nGoW+5hqo6muZnw+rV6OWLkUlJVlHol59NbRubT1mVhYcPAgHD6KOfebQIVRenvX7Xl7ohg0hKgrd\nqFF5OCUyUk5TOgcSOEVVSeAUQohqkFNayvspKXyenk63wEDurFevQtP0FbUzP5/P09JYn51NtI8P\nV9etS7/g4H8Mt1pr3jhyhK+zspgdE0P9qtSUk4P6+GPU55+jmze3Rj0vuKDiv5+RgVq+HJYvRxUV\nWX1Ghw61wmJlFRdDYqLVZP/Qob/C6eHD4OOD7tQJ3a0bdOkCgYGVv34tI4FTVJUETiGEqEZaa74/\nepQ3k5LIOdZSyUMpgj08CPb0LP8IOeHrE7/3NwyUUmit2ZKXx+K0NH7KyaGVry/XhIbSw26v+Hny\nJ9iZn8/YuDjurlePq0NDq/5E//gDNX8+au9e9PDh6FGj4HTLChISrKny1avRvr4wZIh19nudOlWv\n4UwKC+G331AbN1qjszk51rR8t25WCG3eXEZB/0YCp6gqCZxCCOFipVpztLSUrNJSMo99HD32Oetv\n3+cd6ydaqjVt/fwYHhpKl8BAh+yKLzZNnj5wgKOlpbzctCkBjmj2XlCAWrwY9ckn6Pr10bfdBgEB\nqCVLUOvWoevVQ191FVx2Gfj5Vf3xzoXW1ujnxo2wcSNq715rFPSii6wA2rnz6cNyLSKBU1SVBE4h\nhBAnWZOVxeSDB5nSpAmdHTndvHs3asECKCqyQmbPntbpSu6ooAB+/dUKob/8gsrNRUdFWUd9Rkdb\nX0dHQ716teIUJgmcoqrc9E+6EEIIV+kXHExHf38ejIujnb8/jzZsWOmTnk6rZUv01KlVv0518PWF\nHj3QPXoA1lIIEhIgPh516BDqu++sTUpHjoBpgtbokJDy3fLlgTQ6utaPjgoBEjiFEEKcRh0vL95t\n2ZKFKSlcs2MHs2JiqnTqU42nlLV5KSrqpHPsy7/++875ffsgNvaknfPmuHHQq1d1Vy6EW5DAKYQQ\n4rSUUtwcEUGPoCDu3buXm8LDuS483NVluSelICTE+ujQ4fShVIhaTAKnEEKIs4rx9WVJmza8cOgQ\nt+3ezfSYmGpr0g/WCVGbcnJYnJbGjvx8fA2D5r6+tPbzo5WfH619fQl017WgQghAAqcQQogK8DIM\nJjZqxIajRxm1cyeNbTb62u30CQ4mwglHW5Yeax+1JC2NPQUFdA0M5IbwcDr4+1OsNX8WFLAzP5+V\nGRm8VlBATlkZBtDUZqPVsSDaxs+PUDc6WlSI2kwCpxBCiAq71G5n5QUXcLCwkNijRxm/fz8pJSW0\n8PWlr91OL7v9nM+PLzJNvs3KYklaGgnFxfQMCuLe+vVp9bd2ST5K0c7fn3Z/O8ayTGv2FxayMz+f\njdnZ/F9SEmmlpQA09PamlZ8f0T4+2E/oaxri6Umgh4dD2koJIc5MAqcQQohKi7bZuNlm4+aICPSx\nEcfYo0e5b+9ejpaV0c7fn752Oz3s9rP288wrK+PrzEyWpKeTUVJCv+BgnoyOpvE5bFDyUIpmvr40\n8/VlaN265bdrrUksLmZHfj6Hi4rYX1hI1gk9TnPKyjD/di0fpQj29DwpnNbx9CTc25t6xz7sHh4o\nCapCVIgETiGEEFWilKKFnx8t/Py4q149TK3Zlp9PbFYW85OSKDRNLgwIoG9wMN2CgigyTZZnZLAs\nPZ0C02RgSAgvNmlCPSdMzR+vr6GPDw0rcWxnkWmWB9ITG/L/npvLyuJikoqLyTp2UpTCCqiR3t4n\nfRwPpmFeXo5pKyVEDSaBUwghhEMZStHe35/2/v78p0EDSrXmt9xcYrOyeC0xEU+lGFynDrOaNXPb\nNZY+hkGEt3eF16cWmiZJx4JoUnExBwoL2ZidTXJJCaklJZRpzbiGDelltzu5ciHckwROIYQQTuWp\nFF0CA+niyFOL3IzNMGhss53TUgAhagPD1QUIIYQQQojzmwROIYQQQgjhVBI4hRBCCCGEU0ngFEII\nIYQQTlVrAmd6erqrS6hxvv/+e1eXUCPJ61Z58pqdG3ndKk9es3Mj/w8VVeVWgXP16tXcf//9XH31\n1Sxfvvys9929ezcPPvggd999N0899RSZmZlnvb/8Yam8devWubqEGklet8qT1+zcyOtWefKanZuM\njAxXlyBqOLcKnM2aNWP8+PH07t37rPczTZNp06Zx55138vrrr3PRRRfx1ltvVVOVQgghhBCiMtwq\ncDZp0oSoqKh/PCps7969eHl50a5dOwAGDhzIxo0bKTt26oMQQgghhHAfbhU4Kyo1NZXw8PDy7/38\n/PDz8/vHaXUhhBBCCFH9qvWkofHjx5OQkHDK7UopXnvtNerWrVud5QghhBBCiGpQrYFz6tSpDrlO\neHg4KSkp5d/n5+eTn59PSEjIGX/H29ubuXPnnnJ7nTp1JOieQUxMDKtXr3Z1GTWOvG6VJ6/ZuZHX\nrfLkNTu79PT0024Q8nLTM+9FzeGWZ6lrrc/685iYGEpKSti6dSsXXHABK1eupFu3bnh4eJzxd+6+\n+25HlymEEEIIISpA6X9Kd9UoNjaWhQsXkpubi6enJzabjaeffpomTZqwYsUKMjIyuOGGGwDYtWsX\nc+fOpbi4mLp16zJu3Djq1Knj4mcghBBCCCH+zq0CpxBCCCGEOP/UyF3qQgghhBCi5pDAKYQQQggh\nnMotNw050uHDh5k+fTo5OTn4+/vz0EMPERUV5eqy3Nrtt9+Ot7c33t7eAFx77bX06NHDxVW5lzfe\neIOffvqJ1NRUZs+eTXR0NABZWVlMnz6dpKQkvLy8uPfee2nTpo2Lq3UfJ75us2bNolGjRgA88cQT\npKWl4efnB0D//v0ZNmyYK0t1GyUlJUydOpWEhAR8fHwIDg7mvvvuIzw8XN5vZ3G2103eb2c2YcIE\nsrKyMAwDHx8f7rjjDlq0aCHvNVF1+jz35JNP6m+//VZrrfX69ev1I4884uKK3N9tt92mDxw44Ooy\n3Nq2bdt0WlraKa/VjBkz9AcffKC11nrPnj36tttu06Wlpa4q0+2c6XV74okn9M8//+zCytxXcXGx\n/uWXX8q///LLL/WECRO01vJ+O5uzvW7yfjuzvLy88q9//PFHff/992ut5b0mqu68nlLPysoiLi6O\nPn36ANC9e3eSk5NP6uEpTk/LXrKzatu27Wn7t27YsIEhQ4YA0Lx5c4KDg9mxY0d1l+e2zvS6gbzn\nzsTLy4uLLrqo/PsWLVqQlJQEyPvtbM72uoG8387k+KgvQF5eHna7HZD3mqi683pKPS0tjTp16mAY\nVq5WShEWFnbK0ZjiVK+88gpg/SU9evTo8r90xJllZ2djmiZBQUHlt4WHh5OamurCqmqO+fPns3Dh\nQqKiohg9ejSRkZGuLsktLV26lK5du8r7rZKOv27HyfvtzF599VW2bt2KaZpMnjxZ3mvCIc7rwCnO\nzdSpUwkNDaWsrIx3332XGTNm8Mwzz7i6rBpLKeXqEtzeww8/TGhoKADLly/nueeeO+3JYLXdJ598\nQnJyMg888ACFhYWnvY+830514usG8n77Jw8//DAAa9as4YUXXjjjKYHyXhOVcV5PqYeGhpKRkYFp\nmoA1hZKamkpYWJiLK3Nvx/8i9vDwYNiwYWzfvt3FFdUMQUFBKKU4evRo+W0pKSnyfquA4+85gCFD\nhpCcnExubq4LK3I/ixcvZuPGjUycOBFvb295v1XQ3183kPdbRfXr14/k5GS01vJeE1V2XgfO4OBg\nmjZtSmxsLAA//PADERERMp1+FoWFhSf9xfv9998TExPjworc34lrwS699FK++uorAPbs2UNmZqbs\n5DyD469bWVkZmZmZ5bdv2LCB4OBgAgICXFWa21myZAnr1q3jueeeO2mNnbzfzu50r5u8384sPz+f\n9PT08u9//PFH6tatS1BQkLzXRJWd9ycNJSYmMmPGDHJycvDz82Ps2LHSFukskpKSmDJlSvmocGRk\nJGPGjJGQ/jfz5s3jp59+Iisri8DAQHx9fXnjjTfIysri1VdfJTk5GS8vL+655x7atm3r6nLdxule\nt9dee40nnniC0tJSlFLY7XZuv/12Gjdu7Opy3UJaWhq33XYbkZGR+Pr6AtaGmFdeeUXeb2dxptft\n+eefl/fbGaSlpTFlyhSKi4sxDIPg4GDuuOMOoqKi5L0mquy8D5xCCCGEEMK1zuspdSGEEEII4XoS\nOIUQQgghhFNJ4BRCCCGEEE4lgVMIIYQQQjiVBE4hhBBCCOFUEjiFEEIIIYRTSeAUQgghhBBOJWep\nCyGqrHHjxvj6+mKz2cpv+/DDD2nVqpXDHiM+Pp7OnTuTmprqsGsKIYSoHhI4hRBVppRi0aJFctSd\nEEKI05IpdSGEQ5zu0DLDMJg4cSIXXnghLVu25KOPPir/2cqVK7nooovo0KEDffr0YefOneU/e/vt\nt+nUqRMdO3akc+fOHDx4sPxnzzzzDBdffDHNmzdnxYoVzn1SQgghHEJGOIUQVaa1ZsSIEeVT6kop\nNm3aBICHhwe//fYb+/fvp0uXLvTs2RMvLy9uuukm1q5dS9u2bfnggw8YOXIkW7duZe3atUyePJkN\nGzYQHh5OYWEhWmuSk5NJT0/n4osv5tlnn2XVqlX85z//YdCgQa586kIIISpAzlIXQlRZkyZNWL58\n+SlT6oZhkJiYSL169QC45pprGDlyJAEBAcycOZPVq1eX3zckJISdO3cybdo07HY7Tz311EnXio+P\n54ILLiAnJweAo0ePEhoaSklJiZOfnRBCiKqSKXUhhFP9/d+0hmGglDrj/ZVSp52eB07alOTh4UFZ\nWZljihRCCOFUEjiFEA5xppC4YMECwBqhXL9+PT169KBr1678/vvv7Nq1C4CPPvqIqKgoIiMjGTp0\nKAsXLiQ5ORmA/Px8CgoKqudJCCGEcApZwymEcIi/r+GcOXMmAKZpcuGFF5KXl8fs2bNp0KABAO++\n+y433HADZWVlhISE8MknnwDQs2dPnnrqKS6//HKUUnh7e7No0aLy657obCOlQggh3Ies4RRCOI1h\nGOTm5uLn5+fqUoQQQriQTKkLIZxGRiCFEEKAjHAKIYQQQggnkxFOIYQQQgjhVBI4hRDGor3vAAAA\nTElEQVRCCCGEU0ngFEIIIYQQTiWBUwghhBBCOJUETiGEEEII4VQSOIUQQgghhFNJ4BRCCCGEEE4l\ngVMIIYQQQjiVBE4hhBBCCOFU/w9BM+vAQgLz/QAAAABJRU5ErkJggg==\n'/>",
"metadata": {},
"output_type": "display_data",
"text": "<matplotlib.figure.Figure at 0x12c50cac>"
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Accuracies:\n"
},
{
"html": "<img src='data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAwgAAAE2CAYAAADF6rXjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\neXz++ecltk+bNg0NGjTA2bNnkZiYiGnTpikcIuTh4Y
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment