{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Further Machine Learning Resources](05.15-Learning-More.ipynb) | [Contents](Index.ipynb) |" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Appendix: Figure Code\n", "\n", "Many of the figures used throughout this text are created in-place by code that appears in print.\n", "In a few cases, however, the required code is long enough (or not immediately relevant enough) that we instead put it here for reference." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import seaborn as sns" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import os\n", "if not os.path.exists('figures'):\n", " os.makedirs('figures')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Broadcasting\n", "\n", "[Figure Context](02.05-Computation-on-arrays-broadcasting.ipynb#Introducing-Broadcasting)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAFSCAYAAACNC7oQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Adapted from astroML: see http://www.astroml.org/book_figures/appendix/fig_broadcast_visual.html\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", "\n", "#------------------------------------------------------------\n", "# Draw a figure and axis with no boundary\n", "fig = plt.figure(figsize=(6, 4.5), facecolor='w')\n", "ax = plt.axes([0, 0, 1, 1], xticks=[], yticks=[], frameon=False)\n", "\n", "\n", "def draw_cube(ax, xy, size, depth=0.4,\n", " edges=None, label=None, label_kwargs=None, **kwargs):\n", " \"\"\"draw and label a cube. edges is a list of numbers between\n", " 1 and 12, specifying which of the 12 cube edges to draw\"\"\"\n", " if edges is None:\n", " edges = range(1, 13)\n", "\n", " x, y = xy\n", "\n", " if 1 in edges:\n", " ax.plot([x, x + size],\n", " [y + size, y + size], **kwargs)\n", " if 2 in edges:\n", " ax.plot([x + size, x + size],\n", " [y, y + size], **kwargs)\n", " if 3 in edges:\n", " ax.plot([x, x + size],\n", " [y, y], **kwargs)\n", " if 4 in edges:\n", " ax.plot([x, x],\n", " [y, y + size], **kwargs)\n", "\n", " if 5 in edges:\n", " ax.plot([x, x + depth],\n", " [y + size, y + depth + size], **kwargs)\n", " if 6 in edges:\n", " ax.plot([x + size, x + size + depth],\n", " [y + size, y + depth + size], **kwargs)\n", " if 7 in edges:\n", " ax.plot([x + size, x + size + depth],\n", " [y, y + depth], **kwargs)\n", " if 8 in edges:\n", " ax.plot([x, x + depth],\n", " [y, y + depth], **kwargs)\n", "\n", " if 9 in edges:\n", " ax.plot([x + depth, x + depth + size],\n", " [y + depth + size, y + depth + size], **kwargs)\n", " if 10 in edges:\n", " ax.plot([x + depth + size, x + depth + size],\n", " [y + depth, y + depth + size], **kwargs)\n", " if 11 in edges:\n", " ax.plot([x + depth, x + depth + size],\n", " [y + depth, y + depth], **kwargs)\n", " if 12 in edges:\n", " ax.plot([x + depth, x + depth],\n", " [y + depth, y + depth + size], **kwargs)\n", "\n", " if label:\n", " if label_kwargs is None:\n", " label_kwargs = {}\n", " ax.text(x + 0.5 * size, y + 0.5 * size, label,\n", " ha='center', va='center', **label_kwargs)\n", "\n", "solid = dict(c='black', ls='-', lw=1,\n", " label_kwargs=dict(color='k'))\n", "dotted = dict(c='black', ls='-', lw=0.5, alpha=0.5,\n", " label_kwargs=dict(color='gray'))\n", "depth = 0.3\n", "\n", "#------------------------------------------------------------\n", "# Draw top operation: vector plus scalar\n", "draw_cube(ax, (1, 10), 1, depth, [1, 2, 3, 4, 5, 6, 9], '0', **solid)\n", "draw_cube(ax, (2, 10), 1, depth, [1, 2, 3, 6, 9], '1', **solid)\n", "draw_cube(ax, (3, 10), 1, depth, [1, 2, 3, 6, 7, 9, 10], '2', **solid)\n", "\n", "draw_cube(ax, (6, 10), 1, depth, [1, 2, 3, 4, 5, 6, 7, 9, 10], '5', **solid)\n", "draw_cube(ax, (7, 10), 1, depth, [1, 2, 3, 6, 7, 9, 10, 11], '5', **dotted)\n", "draw_cube(ax, (8, 10), 1, depth, [1, 2, 3, 6, 7, 9, 10, 11], '5', **dotted)\n", "\n", "draw_cube(ax, (12, 10), 1, depth, [1, 2, 3, 4, 5, 6, 9], '5', **solid)\n", "draw_cube(ax, (13, 10), 1, depth, [1, 2, 3, 6, 9], '6', **solid)\n", "draw_cube(ax, (14, 10), 1, depth, [1, 2, 3, 6, 7, 9, 10], '7', **solid)\n", "\n", "ax.text(5, 10.5, '+', size=12, ha='center', va='center')\n", "ax.text(10.5, 10.5, '=', size=12, ha='center', va='center')\n", "ax.text(1, 11.5, r'${\\tt np.arange(3) + 5}$',\n", " size=12, ha='left', va='bottom')\n", "\n", "#------------------------------------------------------------\n", "# Draw middle operation: matrix plus vector\n", "\n", "# first block\n", "draw_cube(ax, (1, 7.5), 1, depth, [1, 2, 3, 4, 5, 6, 9], '1', **solid)\n", "draw_cube(ax, (2, 7.5), 1, depth, [1, 2, 3, 6, 9], '1', **solid)\n", "draw_cube(ax, (3, 7.5), 1, depth, [1, 2, 3, 6, 7, 9, 10], '1', **solid)\n", "\n", "draw_cube(ax, (1, 6.5), 1, depth, [2, 3, 4], '1', **solid)\n", "draw_cube(ax, (2, 6.5), 1, depth, [2, 3], '1', **solid)\n", "draw_cube(ax, (3, 6.5), 1, depth, [2, 3, 7, 10], '1', **solid)\n", "\n", "draw_cube(ax, (1, 5.5), 1, depth, [2, 3, 4], '1', **solid)\n", "draw_cube(ax, (2, 5.5), 1, depth, [2, 3], '1', **solid)\n", "draw_cube(ax, (3, 5.5), 1, depth, [2, 3, 7, 10], '1', **solid)\n", "\n", "# second block\n", "draw_cube(ax, (6, 7.5), 1, depth, [1, 2, 3, 4, 5, 6, 9], '0', **solid)\n", "draw_cube(ax, (7, 7.5), 1, depth, [1, 2, 3, 6, 9], '1', **solid)\n", "draw_cube(ax, (8, 7.5), 1, depth, [1, 2, 3, 6, 7, 9, 10], '2', **solid)\n", "\n", "draw_cube(ax, (6, 6.5), 1, depth, range(2, 13), '0', **dotted)\n", "draw_cube(ax, (7, 6.5), 1, depth, [2, 3, 6, 7, 9, 10, 11], '1', **dotted)\n", "draw_cube(ax, (8, 6.5), 1, depth, [2, 3, 6, 7, 9, 10, 11], '2', **dotted)\n", "\n", "draw_cube(ax, (6, 5.5), 1, depth, [2, 3, 4, 7, 8, 10, 11, 12], '0', **dotted)\n", "draw_cube(ax, (7, 5.5), 1, depth, [2, 3, 7, 10, 11], '1', **dotted)\n", "draw_cube(ax, (8, 5.5), 1, depth, [2, 3, 7, 10, 11], '2', **dotted)\n", "\n", "# third block\n", "draw_cube(ax, (12, 7.5), 1, depth, [1, 2, 3, 4, 5, 6, 9], '1', **solid)\n", "draw_cube(ax, (13, 7.5), 1, depth, [1, 2, 3, 6, 9], '2', **solid)\n", "draw_cube(ax, (14, 7.5), 1, depth, [1, 2, 3, 6, 7, 9, 10], '3', **solid)\n", "\n", "draw_cube(ax, (12, 6.5), 1, depth, [2, 3, 4], '1', **solid)\n", "draw_cube(ax, (13, 6.5), 1, depth, [2, 3], '2', **solid)\n", "draw_cube(ax, (14, 6.5), 1, depth, [2, 3, 7, 10], '3', **solid)\n", "\n", "draw_cube(ax, (12, 5.5), 1, depth, [2, 3, 4], '1', **solid)\n", "draw_cube(ax, (13, 5.5), 1, depth, [2, 3], '2', **solid)\n", "draw_cube(ax, (14, 5.5), 1, depth, [2, 3, 7, 10], '3', **solid)\n", "\n", "ax.text(5, 7.0, '+', size=12, ha='center', va='center')\n", "ax.text(10.5, 7.0, '=', size=12, ha='center', va='center')\n", "ax.text(1, 9.0, r'${\\tt np.ones((3,\\, 3)) + np.arange(3)}$',\n", " size=12, ha='left', va='bottom')\n", "\n", "#------------------------------------------------------------\n", "# Draw bottom operation: vector plus vector, double broadcast\n", "\n", "# first block\n", "draw_cube(ax, (1, 3), 1, depth, [1, 2, 3, 4, 5, 6, 7, 9, 10], '0', **solid)\n", "draw_cube(ax, (1, 2), 1, depth, [2, 3, 4, 7, 10], '1', **solid)\n", "draw_cube(ax, (1, 1), 1, depth, [2, 3, 4, 7, 10], '2', **solid)\n", "\n", "draw_cube(ax, (2, 3), 1, depth, [1, 2, 3, 6, 7, 9, 10, 11], '0', **dotted)\n", "draw_cube(ax, (2, 2), 1, depth, [2, 3, 7, 10, 11], '1', **dotted)\n", "draw_cube(ax, (2, 1), 1, depth, [2, 3, 7, 10, 11], '2', **dotted)\n", "\n", "draw_cube(ax, (3, 3), 1, depth, [1, 2, 3, 6, 7, 9, 10, 11], '0', **dotted)\n", "draw_cube(ax, (3, 2), 1, depth, [2, 3, 7, 10, 11], '1', **dotted)\n", "draw_cube(ax, (3, 1), 1, depth, [2, 3, 7, 10, 11], '2', **dotted)\n", "\n", "# second block\n", "draw_cube(ax, (6, 3), 1, depth, [1, 2, 3, 4, 5, 6, 9], '0', **solid)\n", "draw_cube(ax, (7, 3), 1, depth, [1, 2, 3, 6, 9], '1', **solid)\n", "draw_cube(ax, (8, 3), 1, depth, [1, 2, 3, 6, 7, 9, 10], '2', **solid)\n", "\n", "draw_cube(ax, (6, 2), 1, depth, range(2, 13), '0', **dotted)\n", "draw_cube(ax, (7, 2), 1, depth, [2, 3, 6, 7, 9, 10, 11], '1', **dotted)\n", "draw_cube(ax, (8, 2), 1, depth, [2, 3, 6, 7, 9, 10, 11], '2', **dotted)\n", "\n", "draw_cube(ax, (6, 1), 1, depth, [2, 3, 4, 7, 8, 10, 11, 12], '0', **dotted)\n", "draw_cube(ax, (7, 1), 1, depth, [2, 3, 7, 10, 11], '1', **dotted)\n", "draw_cube(ax, (8, 1), 1, depth, [2, 3, 7, 10, 11], '2', **dotted)\n", "\n", "# third block\n", "draw_cube(ax, (12, 3), 1, depth, [1, 2, 3, 4, 5, 6, 9], '0', **solid)\n", "draw_cube(ax, (13, 3), 1, depth, [1, 2, 3, 6, 9], '1', **solid)\n", "draw_cube(ax, (14, 3), 1, depth, [1, 2, 3, 6, 7, 9, 10], '2', **solid)\n", "\n", "draw_cube(ax, (12, 2), 1, depth, [2, 3, 4], '1', **solid)\n", "draw_cube(ax, (13, 2), 1, depth, [2, 3], '2', **solid)\n", "draw_cube(ax, (14, 2), 1, depth, [2, 3, 7, 10], '3', **solid)\n", "\n", "draw_cube(ax, (12, 1), 1, depth, [2, 3, 4], '2', **solid)\n", "draw_cube(ax, (13, 1), 1, depth, [2, 3], '3', **solid)\n", "draw_cube(ax, (14, 1), 1, depth, [2, 3, 7, 10], '4', **solid)\n", "\n", "ax.text(5, 2.5, '+', size=12, ha='center', va='center')\n", "ax.text(10.5, 2.5, '=', size=12, ha='center', va='center')\n", "ax.text(1, 4.5, r'${\\tt np.arange(3).reshape((3,\\, 1)) + np.arange(3)}$',\n", " ha='left', size=12, va='bottom')\n", "\n", "ax.set_xlim(0, 16)\n", "ax.set_ylim(0.5, 12.5)\n", "\n", "fig.savefig('figures/02.05-broadcasting.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Aggregation and Grouping\n", "\n", "Figures from the chapter on aggregation and grouping" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Split-Apply-Combine" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAHSCAYAAABLgXczAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def draw_dataframe(df, loc=None, width=None, ax=None, linestyle=None,\n", " textstyle=None):\n", " loc = loc or [0, 0]\n", " width = width or 1\n", "\n", " x, y = loc\n", "\n", " if ax is None:\n", " ax = plt.gca()\n", "\n", " ncols = len(df.columns) + 1\n", " nrows = len(df.index) + 1\n", "\n", " dx = dy = width / ncols\n", "\n", " if linestyle is None:\n", " linestyle = {'color':'black'}\n", "\n", " if textstyle is None:\n", " textstyle = {'size': 12}\n", "\n", " textstyle.update({'ha':'center', 'va':'center'})\n", "\n", " # draw vertical lines\n", " for i in range(ncols + 1):\n", " plt.plot(2 * [x + i * dx], [y, y + dy * nrows], **linestyle)\n", "\n", " # draw horizontal lines\n", " for i in range(nrows + 1):\n", " plt.plot([x, x + dx * ncols], 2 * [y + i * dy], **linestyle)\n", "\n", " # Create index labels\n", " for i in range(nrows - 1):\n", " plt.text(x + 0.5 * dx, y + (i + 0.5) * dy,\n", " str(df.index[::-1][i]), **textstyle)\n", "\n", " # Create column labels\n", " for i in range(ncols - 1):\n", " plt.text(x + (i + 1.5) * dx, y + (nrows - 0.5) * dy,\n", " str(df.columns[i]), style='italic', **textstyle)\n", " \n", " # Add index label\n", " if df.index.name:\n", " plt.text(x + 0.5 * dx, y + (nrows - 0.5) * dy,\n", " str(df.index.name), style='italic', **textstyle)\n", "\n", " # Insert data\n", " for i in range(nrows - 1):\n", " for j in range(ncols - 1):\n", " plt.text(x + (j + 1.5) * dx,\n", " y + (i + 0.5) * dy,\n", " str(df.values[::-1][i, j]), **textstyle)\n", "\n", "\n", "#----------------------------------------------------------\n", "# Draw figure\n", "\n", "import pandas as pd\n", "df = pd.DataFrame({'data': [1, 2, 3, 4, 5, 6]},\n", " index=['A', 'B', 'C', 'A', 'B', 'C'])\n", "df.index.name = 'key'\n", "\n", "\n", "fig = plt.figure(figsize=(8, 6), facecolor='white')\n", "ax = plt.axes([0, 0, 1, 1])\n", "\n", "ax.axis('off')\n", "\n", "draw_dataframe(df, [0, 0])\n", "\n", "for y, ind in zip([3, 1, -1], 'ABC'):\n", " split = df[df.index == ind]\n", " draw_dataframe(split, [2, y])\n", "\n", " sum = pd.DataFrame(split.sum()).T\n", " sum.index = [ind]\n", " sum.index.name = 'key'\n", " sum.columns = ['data']\n", " draw_dataframe(sum, [4, y + 0.25])\n", " \n", "result = df.groupby(df.index).sum()\n", "draw_dataframe(result, [6, 0.75])\n", "\n", "style = dict(fontsize=14, ha='center', weight='bold')\n", "plt.text(0.5, 3.6, \"Input\", **style)\n", "plt.text(2.5, 4.6, \"Split\", **style)\n", "plt.text(4.5, 4.35, \"Apply (sum)\", **style)\n", "plt.text(6.5, 2.85, \"Combine\", **style)\n", "\n", "arrowprops = dict(facecolor='black', width=1, headwidth=6)\n", "plt.annotate('', (1.8, 3.6), (1.2, 2.8), arrowprops=arrowprops)\n", "plt.annotate('', (1.8, 1.75), (1.2, 1.75), arrowprops=arrowprops)\n", "plt.annotate('', (1.8, -0.1), (1.2, 0.7), arrowprops=arrowprops)\n", "\n", "plt.annotate('', (3.8, 3.8), (3.2, 3.8), arrowprops=arrowprops)\n", "plt.annotate('', (3.8, 1.75), (3.2, 1.75), arrowprops=arrowprops)\n", "plt.annotate('', (3.8, -0.3), (3.2, -0.3), arrowprops=arrowprops)\n", "\n", "plt.annotate('', (5.8, 2.8), (5.2, 3.6), arrowprops=arrowprops)\n", "plt.annotate('', (5.8, 1.75), (5.2, 1.75), arrowprops=arrowprops)\n", "plt.annotate('', (5.8, 0.7), (5.2, -0.1), arrowprops=arrowprops)\n", " \n", "plt.axis('equal')\n", "plt.ylim(-1.5, 5);\n", "\n", "fig.savefig('figures/03.08-split-apply-combine.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What Is Machine Learning?" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# common plot formatting for below\n", "def format_plot(ax, title):\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", " ax.set_xlabel('feature 1', color='gray')\n", " ax.set_ylabel('feature 2', color='gray')\n", " ax.set_title(title, color='gray')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Classification Example Figures\n", "\n", "[Figure context](05.01-What-Is-Machine-Learning.ipynb#Classification:-Predicting-Discrete-Labels)\n", "\n", "The following code generates the figures from the Classification section." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.datasets.samples_generator import make_blobs\n", "from sklearn.svm import SVC\n", "\n", "# create 50 separable points\n", "X, y = make_blobs(n_samples=50, centers=2,\n", " random_state=0, cluster_std=0.60)\n", "\n", "# fit the support vector classifier model\n", "clf = SVC(kernel='linear')\n", "clf.fit(X, y)\n", "\n", "# create some new points to predict\n", "X2, _ = make_blobs(n_samples=80, centers=2,\n", " random_state=0, cluster_std=0.80)\n", "X2 = X2[50:]\n", "\n", "# predict the labels\n", "y2 = clf.predict(X2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Classification Example Figure 1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAGACAYAAABx1WHyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the data\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "point_style = dict(cmap='Paired', s=50)\n", "ax.scatter(X[:, 0], X[:, 1], c=y, **point_style)\n", "\n", "# format plot\n", "format_plot(ax, 'Input Data')\n", "ax.axis([-1, 4, -2, 7])\n", "\n", "fig.savefig('figures/05.01-classification-1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Classification Example Figure 2" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAGACAYAAABx1WHyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get contours describing the model\n", "xx = np.linspace(-1, 4, 10)\n", "yy = np.linspace(-2, 7, 10)\n", "xy1, xy2 = np.meshgrid(xx, yy)\n", "Z = np.array([clf.decision_function([t])\n", " for t in zip(xy1.flat, xy2.flat)]).reshape(xy1.shape)\n", "\n", "# plot points and model\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "line_style = dict(levels = [-1.0, 0.0, 1.0],\n", " linestyles = ['dashed', 'solid', 'dashed'],\n", " colors = 'gray', linewidths=1)\n", "ax.scatter(X[:, 0], X[:, 1], c=y, **point_style)\n", "ax.contour(xy1, xy2, Z, **line_style)\n", "\n", "# format plot\n", "format_plot(ax, 'Model Learned from Input Data')\n", "ax.axis([-1, 4, -2, 7])\n", "\n", "fig.savefig('figures/05.01-classification-2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Classification Example Figure 3" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABCIAAAGACAYAAAB4PcMRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the results\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "ax[0].scatter(X2[:, 0], X2[:, 1], c='gray', **point_style)\n", "ax[0].axis([-1, 4, -2, 7])\n", "\n", "ax[1].scatter(X2[:, 0], X2[:, 1], c=y2, **point_style)\n", "ax[1].contour(xy1, xy2, Z, **line_style)\n", "ax[1].axis([-1, 4, -2, 7])\n", "\n", "format_plot(ax[0], 'Unknown Data')\n", "format_plot(ax[1], 'Predicted Labels')\n", "\n", "fig.savefig('figures/05.01-classification-3.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regression Example Figures\n", "\n", "[Figure Context](05.01-What-Is-Machine-Learning.ipynb#Regression:-Predicting-Continuous-Labels)\n", "\n", "The following code generates the figures from the regression section." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "# Create some data for the regression\n", "rng = np.random.RandomState(1)\n", "\n", "X = rng.randn(200, 2)\n", "y = np.dot(X, [-2, 1]) + 0.1 * rng.randn(X.shape[0])\n", "\n", "# fit the regression model\n", "model = LinearRegression()\n", "model.fit(X, y)\n", "\n", "# create some new points to predict\n", "X2 = rng.randn(100, 2)\n", "\n", "# predict the labels\n", "y2 = model.predict(X2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Regression Example Figure 1" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFkCAYAAAD8ADhmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot data points\n", "fig, ax = plt.subplots()\n", "points = ax.scatter(X[:, 0], X[:, 1], c=y, s=50,\n", " cmap='viridis')\n", "\n", "# format plot\n", "format_plot(ax, 'Input Data')\n", "ax.axis([-4, 4, -3, 3])\n", "\n", "fig.savefig('figures/05.01-regression-1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Regression Example Figure 2" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAcwAAAFBCAYAAAD69Z+AAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvWeQHOl55/lLX1muvUHDNbwZ7why6JZeJEVyxaN0K2nd\nRdyd4r5c3Gl1objYDUXs6sMpLhT8IkXchrTS7p52ZfZ0y6MkUhpJnOEMyeEYcmBmAAzsoBuN9rZ8\npb0PhUxkF6qqs6qrDYD3F9FodFVlvm9m5Zv/fJ73eZ5X8n3fRyAQCAQCQUvkne6AQCAQCAQPAkIw\nBQKBQCCIgRBMgUAgEAhiIARTIBAIBIIYCMEUCAQCgSAGQjAFAoFAIIiBEEyBQCAQCGIgBFMgEAgE\nghgIwRQIBAKBIAZCMAUCgUAgiIEQTIFAIBAIYiAEUyAQCASCGAjBFAgEAoEgBkIwBQKBQCCIgRBM\ngUAgEAhiIARTIBAIBIIYCMEUCAQCgSAGQjAFAoFAIIiBEEyBQCAQCGIgBFMgEAgEghgIwRQIBAKB\nIAZCMAUCgUAgiIEQTIFAIBAIYiAEUyAQCASCGAjBFAgEAoEgBkIwBQKBQCCIgRBMgUAgEAhiIART\nIBAIBIIYCMEUCAQCgSAGQjAFAoFAIIiBEEyBQCAQCGIgBFMgEAgEghgIwRQIBAKBIAZCMAUCgUAg\niIEQTIFAIBAIYiAEUyAQCASCGAjBFAgEAoEgBkIwBQKBQCCIgRBMgUAgEAhiIARTIBAIBIIYCMEU\nCAQCgSAG6k53QCAA8H0f13WpVqv4vo8kSUiShG3b+L6PYRjha5IkIcsysiwjSRJA+FsgEAi2CiGY\ngh3F931s22ZlZQVN0zAMA9/38X0fgHK5DICiKOu2CX5HBTP4afV3ILKyLIevCwQCQRyEYAp2hMCi\ndBwHz/PwPA/XdbEsa52FGXy2Xhyjv6P7DMS0WZv1RPdlWRYApmk2FN5AbKN9EwgEjw5CMAXbSiCM\nrusCNUEKhMxxHBzHabhdsVgMP9/MkoxjYTbD9/1QMDVNu++9KEGfW7Ud/I5atMJ9LBA82AjBFGwL\ngVB6nheKjed5lMtlKpVK+DnDMIB71qJt20DNJRu85nle2+1vJLJR4fY8b0Ohrbd+GxF9vd5Ctm0b\nz/MwTfM+97CYpxUIdidCMAVbSiOh9H2fUqlEtVoF7llsqqpiGMY6QQy2NU1z3X6j85iNfhq9F1do\nS6VS+P+NRLbRe9HX6vcT4DgOruuiaVoomM2OL47V3Mh1LOZpBYLuIgRTsCXEEUpZlkkkEui6zurq\nalv779TqaiW0QUSuqqpNRbjdPjYT2WB/Udd0q9/R/rc7T+t5HpZloWkauq5vaG1H52oFAsE9hGAK\nuorneRSLRUqlEslkEl3X8TyPSqVyn1AGqSJxxChqaW2GVkLrOA6+75NIJBq2H/zeyJKNvreRVRuc\nk/o+xrFkm1majfruui6KojTtTzvztPWWs5inFTwqCMEUdIWoRRn9KRQKYTCNLMuYphlaOQGtXJe7\n5cbbTYsWwLIsPM9DVdV17wf/38w8bb2ARsU7atFuJLSdztNaloXrupimiaIoDUVWzNMKHkSEYAo2\nhed5YWpIcLMLbvbBXGAzoaynE7fnbqeZEATnTNf1hnOYEN+ajb7eSmibRSG3a8k2E9qowAau+Fb9\naZbm0848bSOrVyDYKoRgCjoiSA0JhFKSJBzHoVKphBalJEmhW1bc0NqnUyGoF1PHcbBtG0VRkGW5\nofh2M/I42JfjOA1zVzeyJtudp61UKvi+TzKZbCn2wH3uY3FdCtpBCKagLZoJZblcDlNAZFkOI1uD\nNJGNEDeu7lEvBEFAk6Io6LredLt2LNk4Qhs8ODXqX7Sf7Vqz9ddKtB9x3cf1/Wk1RyvmaQUBQjAF\nsYgjlIqiYJomnuetS80QPBhsxqINfvu+T7VaDd3N0de3KvI4EEvbttsS2vpjiDtPGxxfMplsWv1J\nzNM+nAjBFDTF930cx2FtbQ1FUUKXl23bVCqVUChVVSWRSKBpWhj00Wl79UTnxTZzo1lanKVSyTE4\ndDC21SuIRzNhCq6HZnQ78rhRxHG0j3Es2Y2EVpKksC/R/290jM36Ev27/j0xT7v7EIIpuI/AxRXU\neg2E0bZtyuVyGDiiqiqmaaKq6q4dzLZtM3Xre4wNFRke1piZv4ArP86esZM73bVHnk4trnpRDQr0\nRwv3NxLgbkUeN7Noo5+vP8ZGxxBXaG3bxrZtEonEuqjjZu2KedqtQwimICTI13Ndd10OHtQCOPL5\nPHBPKOtrrjbaX1y2alDPTP2UowctJKnmHhwbMZiZf5dK+SCJuupBAd3K+RRsDa0s2lY0S/HpNPI4\nrkVb/3er9+qPsVV/Wx1jq/4I93HnCMEUNBRKqAVtBE/vvu+jaVpoUW5VP7qNKq/U5ltdD88FTZMY\nHTKYmLvFvv2n1n1W3BwebjYjAlHRambR1n+uW5HHwX6CHNroe1s1T1sul8N0sKiY1peofNQQgvkI\ns5FQRgeooihkMplY+91NwuP7KuBQLLqUKy6D/Tqu66HryZ3umuABopE4bWTRQncjjwPXbLP+RfsZ\nZ762frv6ftcfw1Y80D5oCMF8BIkrlLquk0gkyOVyHT+VxyUIoOg2mnmEXOHsuv7fntU4eORA19sS\n7Ay+7zct/rDTdDqHGBXTarUaFuqPBsFtVeRxgOd56+Zpo4u4P6oIwXyECOq8wvoIxmq1SqVSWSeU\nQVmzgJ16uozeIDpheOQw83OwsngJ2y6TL/exZ+8Lu8oKFgjqaRTM02xlmyjdjDwOxDpA07TYXqaH\nFSGYjwCBRWnbNoVCAU3T0DSNarVKuVwOB0sjoeyETsUoOrC7KWjDI4cxk0OUSiX6+/tjudIEnfOw\nu+52u0Ub/R2X+mjiSqWCLMtomhYKqxg3QjAfaoLUkPolpFzXZW1tLRRKwzDCkPVGbFYA2yFIYwki\n9aIDWfBgIaz4B4dGQhsIZoBwyQrBfChpthZl4F6JK5RRtjJFJOoaClzG9VQqlXDfcQIaGgU2CAQP\nIsHY2K7reLvbe5AQgvkQ0UgooSY25XJ53UDo6emJ7VbaqoHj+35YDCEQ8frAhuB4gr52Gq5fKpXC\n8+C6bkNRrbdmxQ1j9yM8D9uHGA9CMB8KmglluVwOV3IASCQS4dxEu3MwndyYWuV8BUIZdRf7fm3F\nCcdx1gUkeZ6HYRj3BSHFDWoIzkm0elErgjq4cSzYRp8RbD/bbX0JHk2EYD7AtCOUiUQCWZZbVifp\nFs1uXr5fq01bKpXui8gtlUoNc8yaRcm2K07BgtbJZHJdIENUcG3bXhfQsdnk81Zu43qRF0L7YLGd\n35dwye4ehGA+gASrgRQKBUzTJJFI4Ps+lUolFEpJktYJZZR2n5K7kSNZX4d2q6sG1RMVq2bWdbAY\ndv05i2vFRt+PK7RB1Zg4lmyj9wUCwfYhBPMBIrih19+oS6US1Wo1FMpgHcpGwrCdEa9R12tcodyN\nLq/NJJ83E9TAmlUUZVOJ53GCn+rXihRCK2hFMwtTXDdCMB8I6teihHsXddRCCazNjS7sTm7KnXw+\nWrB9uy3KZmynILcS2uDhp/7BJk6Sef1rca3ZaGm1dqxYEW18j51wV4qHnN2DEMxdTKNFm4Ok4iDN\nAiCZTGIYRqxBtRn3apyBG8xRBp+Pu7KJuCHU2EzieTNBDa6jqPh1Mj8b1228VQUoGiHm2wTbiRDM\nXUgzoSyXy2HQTiB8QS5lO2yFleU4DuVyeV3gjqIoZLPZtvazVTe+h/2G2sqatW07rEWq63r4ejOB\nbfRaJ27jIKc2rhUrrNndgXDJNkcI5i4heOKvF0rXdalUKqFQyrIcFhvI5/PbchG3aqNeKFVVJZFI\nUCgUOp73a9T2bpzbfNBodgPsxJoNfjf6Ca6F6Pxst6KN6wU32qeH1XUZjdwW7CxCMHcY3/fDogLR\n1dQbCaVpmui6jiRJYRBNp/ORndxcotu4rku5XMayLKB2cwxcr53ctLY7ZF7QORsJbXBt1q+d2I4V\nG7wfV2hd16VYLLZtxbYb0PUouIAbjZGH9WGkXYRg7hDRuaW1tTUURaGnp+c+IaoXyoCdunjbEcrd\nJE5isO88nUQbtxJXuBc8Fey7m9Zso9ejEccPO8Ilez9CMLeZqFAGT23BQC8UCuuEKJFI3CeUjfbX\nDpux/kqlUtcsSkGNR+HGuxk2smYDwQzGS0C7ebPtCq3jOOG0QzsRx62OpRG7yaLdDX3YaYRgbhPN\nhDKaV2lZVmwh2uzFG9fFEi0lZ1kWsiyH1XK2on87KSDbOV8qbj7dYaMAlU6jjVuJahBxHNBJtHEc\nt/FOXSO7SaR3G0Iwt5hWQlkfVZpOp9u22LbKwqyPygVi53l20rdm7uZui5iw6ASt2EioHMe5L+J4\nI7dxo9fbFdn6Odo4ohu81y2EgArB3DKaCaVt21QqlXVRpcFnoiH/G9ENC7MR9UIZFGp3HOeBdr8+\nqP0W7H62Kto4mkcb0M1o42ai28jCFEE/NYRgdplWQhktERck9KuqSi6X62ggBO21Q6u5oGhBhGiw\nUalU2nCFj7jtbISwAAWPCnGENqgbHaRrQft5s8F+2qVcLm+JpfogIwSzS/i+Tz6fx/f9dVV3mgll\nfeWb7RaK6ECqF8pEIrHuGIT4CdpB5A1uLd2ONq5/L7BooyK7k3OquwkhmJskWmygWCyiKAqGYWBZ\nFpVKJVbR8c1ErnYqSr7vh4sqB/sLirY360+7c5KdzGEGc0T1YfzB8lyP6sAtlorcXrpJ1SuhSjoj\n6X0M9g/tdLd2nJ160Nyua7Bb7bXz8FsqlfA8j3Q6fZ+oPuoIweyQZmtR+r5PLpcLn9LaKTq+nfME\nQVH0OEK51USfaqM1cqM4jrPOLdzuvEy0rQcN13W5On+B9HCCJLV57uncdeQ1mf6egR3u3e7gUXyI\n2g6i85riHAvBbJtmQhnkJwYWUTtC2emF2I4V5/v+uspBknRvvcyN2t9Kl2xQrD3qso4u8Ox5HrZt\nh8FHnUYaVqtVyuUyqqo2FdeoNRu4FHfDTeLO/G2Sg+sDwsxsgoXlGSGYgq7TaNzuhnGwGxCCGZNm\nQlmtVqlUKusi2bLZbEfLWG3FU1wglMHC0gGpVKqtqNxgX92iPq1GlmU8z7uvkLzruti2Hbq6G/Up\nTjh/IIDB99iKarW67sEibhj/VgVIOF4t/9WxXcqFCnpCwzB1XN/eeGPBA81O5UQKgWyMEMwNiApl\nlMBiCV7XdT0sQtCuWG6Fhen7ftjHQIhN0wwFdKv712yb+tJ6QRCU67rhsmDtthOnf5IkYVkWqVQq\nPA/14mrbdmhdBue2k5y5OOLazqLOA5lhJgqX0XQV1/HwvVqfkkpvW/0SbB6R1P9oIwSzCUHJragg\n+X6tGk9UKIPltRRFYW1treP0kGD/m6VeKIHQ9SrLcttiudn+BWJQn99ZX9EosPoCa3Cr5hqjqT6N\n3rMsC13X73vo8TyPyzfeZaU6i4zGgYGjjAzuaWrhtroOSqUStxc+wAfG+veTzWRbCmzSTGGu9rFS\nmAMJKqUqFHSOHTzU1XMjEEDjKGfxgFBDCGYd0bmuIPUjEKFKpdJQKAOigT/tXGCbsTCjlkp9H6NC\nWc92Bb94nhf2C3aumPxm9//GxVfxR1YwDA2wuLr0Bu7CCxwcay5ajVzD0/N3uJa7QGrExPc9Li3P\nsrd0lAOj4y2jEff07yOVy3J7epL+vgFGR/ZQKpU2DH6qv0YeNh52i+9hP74HDSGYEWzbDgUzmUyi\nqup91pphGJimuSV5Zp3e0Ordw62EshM2M1hzudw6l/BORuN2yuraKiVzjh4jFb6WGTD54PbFloLZ\naE5zMned/rEebMfGdaFvpIf52ducME+ts6wbWa2ZTIY9w2Mkk8nwu23HZWxZFpZltR1h/KB9X4LO\naXYPEtdADSGYEaI3h8D12sit2Wp76NzCbEcwo9ZIsLJ9HDHfzIUfp3+BpRtNAWmnBm19G52cm26z\nuDxHui9Rc9kWHSRFQjdVLL/c1n5c18VWKoCGU3VxXAdd05HTtaIXPT09GwYOBZ6NZDIZvrZRUnr9\nouSbmZeNm77zsPKoWHwP+/F1ihDMCJ7nhcEowQ2/HWttM67VuDSbR23X6u2kqEC7/YJaxHDUbb3T\ndCK8e4b3cfP2WXpHk1gVF1WXwQRTzrS1H0VRUNzakLPKNo7tkEqDW/ZJjiQ32Lo5G4ls4DnRdX3d\nNEPwO06UcbsiGxTyaCfKuNUxPKo8KgL9oCAEM0I+n1+33mMmk+nIrdmpNdRquyCKs1wuhwEyQSpG\nMpmMPaC6bWE26pdhGGH+5Hb0a6v3n0qlGOYwK6u3AAnf81mZKvH0yCfb3tdYapyF4kT4t1WxGJDH\n7iuVGFCpVJhemCGZSNLf09fhEdxPpwK1kbjWp+1sxpKt/7vRz8M4L7uTNBNoIdg1hGBGCISnWq2i\nqmrbYrkVFmYjQdJ1HdM0wxJWneRvduNGU18nN+iXoigUCoWutbNTrKyucGvmAwayAzx98kPcmd3D\n1YnLaJrB8yeeJ5VKbbyTOo7uP4E+k+Da4vs4js9g4iDHjpxo+NkbUze5VZkkNZDCrlp4VxyO9h/d\n7GFtio1cr77vhyUiTdMMX9vIeu3Ukg2wLCt8QIs7RysQtIsQzAi6rodzcJu50XfDwmwllIGLs5NB\n341t6osOaJpGMpnsiut1twjsmxdfZ1q+Rc9Ihju5G7z31jk+98yXUCUdXdc7EsuAA3sOoqFTrVbZ\nv29/w8+Uy2UmqpOkB9MA6AkDZ0Tm5tRNnul5puO2d4JO5jfbEdd6MW63X+0EQW23i3S7x4MI+mmN\nEMw6NnNhdBqgEm0zjlDW02l+ZLu4rkuhUFhXdCCIJq5ntw6wOMc9uzDLrDZJz2BtjjKZTeClPd65\n8jbjQ0e2uosA3Fm4Q7I/VRMFx0OSJZAkSm57gUYPKnFFNoj8jaZ4tRLYenHtNG+6UqmEBS62I8J4\nu8fTbh2/O40QzCbshKXjOM66CNON6tFu10Ud3FSi87vJZLLpvFuUuOex2bF0K0o2zrkKPnN74RaZ\nfalaRR3XR5JBVmRW3WVgewTTNEwcewFFUSivlVANDTWhoki7J4Bqt9GJuzWOFdtIYIPVc+L2K26U\n8aMSbfygIgSzjs3coDvdNhh4QRWcdgq3t9teO4Oxfq1MSZJIpVJhdZ6tYDe4ZBOqScFZBF+iumah\nmip6SkaX9I5cf50wNjzG9fdvogzfE0irWGUoKZb06ibtimywZJ9pmqGLNk6UcafBT8G+LMtqaNF2\ne15WROW2RghmhM1eJO1uXx80I8sy6XQ6tlB2O+I1+l6lUqFcLoft+L6PpmmxC7Zv1rW9k8J58tBp\n/ua9a6QPmOFr+fkilfkik4svgQyjmVE+cfoTYWBLt5EkiQ+NP8/FyUtU16pIusTBgf2kB9Jb0p4g\nHsF1GYhXu9vGTeGpF1nXdTdcNKCdFB4R/NQZQjDr6IYLcKNt64NmFEXBdV0Mw+h4lZO4bBTh2Khg\nu6qq5HK5jgbXZl2yO4Gqqnz6xBf5yY03qeRLmLpGMeeSeTKLuqohqzJ21uZ7736Pn/3Qzzbcx8T0\nBJcXrlPBIi2ZPLPvCQb67y3FFed4TdPk6SNPsbS0RCKRwDRNVlZW2j6e3WC1bxUPkkXUibs1iGWI\nruLTzQjjZuIZrBIUvN/JfelhRJyFBmxFegjcL5TBSh1QywHdTLBQu9RH5EaLDgRCGVTniRZGf9CJ\neww92R4+8finWF5exjAMvnv9u8jKvTQjSZJYTaxSKBRIp9dbfdPzM/wk9x7JsTQGKjbwysTrfCX1\n+YZLlG0X2yEqD5KAPQgE5zFYDzYO7aTwNBPZeot2NxUf2UmEYDagU5dgM+u0mVAGQTOBS7Yb6Shx\n+xhsZ9t2mM8J3atD2+kN07btMLgo+vQbLYTQiVup/jOWZXHpxiUyZobDBw833Ifv+0xO32atmmNh\ndYHsgSx2wQYZ9B4dFBq6ya4t3CA5vF5EzbE0lyYu88zxp+OdCIGAzh5AOk3jgXv5rKqqoihKKKpC\nMGsIwYxQLyadEmxbv/ZjEF2qquq6trbKom2F67rkcrl11XmaldfbqrnS6GeCc9RsniZwFzej1VxN\nYCUHOXsXr1/kjbm3MA+ksCs2r7/6Bl977iuYiXvzka7r8hdvfZdCooI5lGLNsjh37j0O9x4Iz0ei\nkKCnp+e+vth+7RicqoNbsdGSOrKmYHvOfZ8VPFg8DF6WRtQ/fKqqus4NKwSzhhDMBmzWwvQ8b12+\nYv3aj83YDgszEKS4OZ7d6F8rAldw0J/goSK6JFWwjFVQWKJZ0ESr+RvXdcMIx9du/4js0ZrQaaaG\nf8Tnb8/+PV9+4YvhZ995/yz2XtBLOuBzbPw41+5cY3piloGhPvQbOp883rg03qDex217AbxaDqXv\nQ2mtxFN9x7t12vB9n/M3LjFbWQZJYtTo46kjp4UrdJt4lM5zEM8gEILZlE7EoT49JK5QboeFWe8W\nliSJTCYTazK/k/7Fmc8tlUrrck5t20ZRlIbuVkmSNsz7bDVn4zgOiqJwe/Y25r5k7XXHA0lCUiSW\n3eVQtB3HYaawAOm7VqLromZ1ju87Tnl6leP6EZ596llkWV63XFbQz8cPn2bhwg9YUfOomkppscC4\nPsbYyJ62z2Mz3rpyjsWsjZKtFW2fsgtUr5znzMl7Lt/bc9NMrc1TdSx65RSPH21cgk+we9nuOeGH\n1YLuFkIwGxCdi4xzoQbWSyCUneYrboWFWe8WVlU1FI/tiHyr71t9f4KcU0mSWFtb21RbreY0FUXB\nMAz6ewbw7RtoaQ27YCGpoCZUTC0RiraqqqQ0k4rs4PvgVRyUlAYyZBIpMunMhmH+Hzn+AlN3pphZ\nmOXo+FEGBwaoVCqhuAYPV67rtj0f6zgOd+wVkuo9d7Cqqcw4KziOg6qqXJ+a4Iozh9GXxHFgopSj\nev0iZ04+1dY53e2IIKOtof58bsX6vw8iQjAjtJubVC+Uweoh7eQrttNeO9t5nke5XG5o7XaSmgCb\ne/qsL4JQXy2o0xJl7bJnZBTjnIbfGxyLRLVY5Wj2MIqiYNs2sizzwrFn+YvLf4NiqPiAqmpUZ4o8\ncfB0WDt3o7y6wYFBEkaCVDJ5n7h6nsf0/AyXFz5AQeGxvUfoyfbcJ57BknPBA47rulSrVTz17txv\nvlxzV2dMXMUPBfNmbgZj6F7gkaJrzFRzVKvVHY3UfdAR7slHGyGYLWg2OOrFSJblcB4wl8ttqr3N\nblcvTEHfdF3vOKhpMy5Z3/cpl8tUKhV832/an4321U1X0T984au8fOEV5nI5VFXn+NBRPvzEmXWi\n1tvTy+cP/wN+dOHHlFybtKPx2ROfZWlhKTyOjfA8j1wux6WJayQTJo8dPoGqqvi+z7u33ue2nCO9\nrx8Jn5fu/JSPVk+zb3jPfQnrjuOEQl6tVmuF7gsuVtqiWrkbCGUoaKXaOapWqxTsCkkngVOu4jku\nsqkjJzRyhTxDQjAfGLZboJtZ7OIhoYYQzDqiT/j1N+lmQhnc/Du1krphYQbVeQJhCnIpDcPo2sXf\njmgFn60vghDkdnajjU7wfZ9kMsmXz3yJ+fl5dF2nr6/xOpOD/YO8cPw5bNtmbGwM0zRZXlyO3cdL\nt67x07n3MQ/0s1aa4vXX3uUbz3yOjJniDmvopoEiK8iyTGbvAO/PTnLi0NGwn1BLszEMI/zRNA1N\n03h27CRvzVzC1yR8fMrTq7wwcurewueejOM4WOUqnuuSMHWctTL6gEahUNgwqriT1B3Bw4mwqu8h\nBLMB9RdHI6stkUg0FCPYnmjXKLZt3yeUOylMQX+CdrqV27kZuvnEHOfc2bbN+aXrVBM+N2dv4GZU\n6Pf4nb//T/zis19ETSfwPQ+3bOOrCoqhUvAq9/VPlmUURUFRlFAsdV3nYH8/+0bHOH/pXUDiqece\nR5bl0C389N7jvD1/DVmVwfOprhU4lh5dF2m8mcWdm/1sl2tdsH0IsbyHEMwWeJ5HtVpdV3y8mdUW\nvN8pnSQaB9ZEaFXEFKatiHoN+hGNxA36lEwm29r/TrigGrGZftyZncbNKswszqH0GsiSgm9KrPUV\nuD5/G5sKalLHLVtgaCiGSkq+31Ua9KFYKnFt6hay63P8cM0KVRSF/aN7kSTpvjVSx4ZH+UK2l/NX\nL1KuVDh+4DDDg0PrAr3iVoKJzs3GFUTHcSgWi02t1VbWbDvsRBTpdj747UR7IFyyzRCC2YJ8Pg9s\nLJT1bKWFGVTnqc9dzGQyWz6wmvWvUSSupmmUy+WOHgS2ku0Km+/N9rJwcR45qyGXPDwX3JSChkJe\ns9hjZ5mu5lHVWtBTZTHPC6OnG+7r/YkbXHOWSO7pp7KY48o7d/i5D31mXX3RRiQSCY7tO0S5XCab\nztz3fhx368raGsu5VcYGhzFNc0OR9TwvjPyF9oO52nERi5v49iDO8z2EYEYIAlSi6SGB1Rbnomk2\n9xmHOPuvX90kmgbRrli228dmwU/1ka9BJG7UymyXrRC1zQ76diyZtbU1SuUSgyWTW2YBWVJRii5W\n1WIw1YfkwWCih/JsHtX2MXWZZ489z/DA4H37yuXzXK0sYI70AqAaOl6vxo+vnOdTT52J3e928X2f\n169cYElxMVJJLk5c5FCilyfGa9Zts/MQPDypqhpG4zaLIm4luu0SPJw9TPOxO5ET2ahNkZt5DyGY\ndQRWEkAymWw7BH8r5sbqXZ1BWgPUbs6diF8ngyB6s4uuatIo8rXd89Dq81s1N9btG6fjOPz563/L\ntF4CXUVP6rgXV5BHUyiuxNBAL7KucXVmipX9LnbWJVXI8YXTpxqKJcDNmdsYvWnKhRJ3FubwLAcj\nYSD3jna17/VcmbxFLq2RUGpWbKInw61inj3Lywz297e1r06swbgu4sDL0s71Edc9vFtEdifaFi7Z\nxgjBjCBJteo30bUgO6FTC3OjJH9VVcNatLC53MVOBTMQykarmnSrne0krhu8nuDcRy37v/3pD1ne\nq5GUa1FZH5RIAAAgAElEQVS3fjLBcHUPe4wsObuCIZlMzM5z4PnT2LkSki/hpVV+dPNdxsfHG7ad\nMVMUFnJcX50j0ZNG1mTW0ioXbl7lv33+M20fr+M4OI6zoTt3qVpAyej4nofveUiygpFKcmdtsW3B\n7IS4IhtMTSSTyXAMxfnZzDJYwTjYSHgfFh6mY9ksQjDrUBRlU3OB3bAwGxUdiCb5N9tuO/pYLBaB\n1sXaN8NuCGHfyP16ZfImL905R0ly6JMSfHL8KU6OH+W2tYIsZ2vb++D7kNjTz55qLx8aGUNRVb7T\ndxEkCd/18L1aO0tebbWYRufy8L4DLP7wb9CP9IF1tw6w5TB87CCXPrjGSDaeeLmuy6vvvcOcX8GV\nJHp9hRfHTzLQ13h7Rar1xalaOOUqeiaJLKnocuvyhDtFJ0IV10VcL7JBHEE7fdrtVmzAbhh/uxkh\nmC3YzvSQMBqyWFyX5xkI5VZcxHEGR+AODm4WcYu177ZB184cdCsmZ6e46iyiHRomKUksr+X55it/\nxscPPsHc/AxDezP4JasmbgkN3/XQldowM3QdqnfXFi1a4Lj4moqC3LRtSZI4Mrqf6+UCdtlCdXz2\njg4xPDjMaqEYWzB/cv0yC306hlabC7WA79+4yNef+1jDto8MjPLm0iRSuAaohLOc4+iJZ2K1t11s\nJkq2E4EtFovIsoxhGLHmZjcT9BRtdzNL222W3TaWdxIhmHXUu1462b7dQRIdWNVqNXY1nE77GWcA\neJ5HqVRaN6cL3LdY8ka007ftGJjR/rR7swS4tTKHmq3Nay/PLXB1YRrt8RHO2qu4Qzpz71zgsZMn\nw+3U5Qr7Tu/Ftm3S6TR73CQr0Uo+jsOhRF/LvvSZaQ5mMzi5El6pgp7KYpXLjKQPxu7/rFVAk9fP\nk1rZBNPzs+xtUBR+qH+AZ12X9+7coloukpZ0Hj9wYsMC+I8CkiTFXu6q3dSdqPgGBOltzfrSKoq4\nXVfxdqexPGgIwWzAZm7c7d6Eo8EzQKyiA1tJs8jXYK5oq102rQR2K9reSNDr2/Pv/uNXHeYnZkgc\n7seTJTzf5+CBg9zIXyZ/bQbV0Bg0spw59ty6G9A/fOFT/N251/lgqQiOx8H+ET7yZGur7fH9R/je\n1bN4xl03qWUxXNQ5dnKchYWFeMd597edL+E5DnpvZsPjHxsaJmsmKRaL9PX1rauPXC6XmV9ZZriv\nH9O8t47obp+z3gydWLOdWILRgKZKpYIsy2ia1vX52GZiGt2nJElCQCMIwWzBZgZ/q5u77/vhOpBB\n8IyiKLiuGzvXEzaXxlLfx3rxliSJZDIZWrmBgMalU2Hz/VpBhvpVPHYLY6k+VqrzKL6Pzd0bVa7C\nYHoE8Dl8+gTPLac4OX6UVCpFqVRad+40TeO58dMoeZueZJpba4v8p7dfBkNj3OzlS899dJ0V53ke\nN6enSCkJFm/P0JNMc2J0mOeeWb/qyMT0FOdu3eDa/DTZbJZ9fQM8f+AYgR2UdWXuLC+T1RMEZ1TP\nVdh7rP0lx85ee59Jq4SWTnHu5hwH9CTPHDu57jO77Xt7kKgX2aDKUyu6mbrj+7U1aAM0TSOVSm32\nsB4KhGA2YLMu2WYEcxGlUim8YIM8z1KpFFpwW02j+ZFonxpZuZsRwHY/HwQW1RMsJN1OIEWUdo+h\n0eePHTjMyqU8UzOrULHxCxXG1CxJSQMfCncWyXuwvLJ8n/vadV3++NWXuGNY4FeZevcCZl+GvUfG\nkdImE57Ht99+jW+8+JnwXPz5j15mQfdQegw8aYCJm1Mk0mk0w+CJu+tbXvzgBu/5BS4uTaHu7ccp\nl1lz88zeuMAnBw9y9oNrzOo+d+4sYVWKjCaynHD289Ejj8Vy0UW5PTvDlOxi9GQBMHqyTFWrDM7O\nsH+0e+t9Ctqjk/nY4Hf0J4j+VRQlfE1YmPcQgllHt6yaeustWDA5yBurjzLttM3N9DWo+dqsT43Y\nCrdoEBUcDGJVVe87d8H/250Tjf5YloXneWEARWDdb7TP6PuyLPPMsdN8dmCAc/q7/MSewejtBdvl\n1uQtVm/OoZxOcvbWOQ7cusoXnr5XXODNy+8yN2xgqEns0gJ2X4KCV6GvUCSVrp33W04+XILrysRN\nFno1VNvD82Fi4jZ+SuVNe5lZO8XZ1yb47NHHuZJbYMGvoozU0llU0+BOfoXRg8d46eyb6PtGSWZT\nnN4zgpMrUF5Y5h8ce5Js5v7qPxsxm19DMw18z7+bbiKjGQaz+bUdEUwR1dkZjVzFgWAGtbID4s7X\nPgoIwWzBZizMYNtAKIOb/kZRpp202YkVB/dSROJGvrZDnJuY7/sNc15TqdS6pbaC+dOoWyhu8ETU\n9eQ4TnhTAMLf9RZt8Lng/8ESW4EHwPM8DMPgyZOPcco9wRtX32V+eZW5yUnsoSwXbt/EtDyWerIM\nXbnI44eOATBbyaGoffieh+e64PuovWlWp+dIplNIaRNPlnAcB8MwmJifYbayilKoIFVtrLSBIUlY\nuKi6TmVM481LF7ASCnbFQ7VdcD0koGrXFrhetCrsk+WawLkekqKQHOrn6tQkz596rO3vU73727Ut\n7GIZLZVENfTw9YeZzUTkivYeDoRgNqAbQT+u61IqldZV5zFNc13x62602c52gSUX9ElRFFKpVNM+\ndaN/jcS80RxuEFgUtx9x+xN1PQVu5iAlQFVV5hcXePeDa5weP8Lw4FAotIFo2raNbdtUq1UURaFa\nrWJZFqVSiXK5TE9PDx87+TR//vLfYB0eQunPYpRdZNfnTj7P+7OTnD54pNbe3dxGqg6K7aF7CiXf\nQ5UUfM9HAoY8nVQqxfXJCV65cZnpYYOMAvm5GbID/SArGI6E77pIikJZBt126TWTlAprKIoKsoRR\nO2iyai1Qx7+bTynLMp7rYWidDf0jo2NMTVxDStQihSXAXstx5OCxjvYn2P0IAb2HcE63YDPWXqFQ\nCOu8ZjIZMplMLGHaCgszmMRfXV0N5yiAdVWDutXWRti2TS6Xo1gs4nkeiUSCnp6eLVv+K3DHNlom\n6ztv/YA/vvU2r/bl+Z0r3+f/+eHfhUKaTCbDgvvB5zVNCwtbKIoSunM9z2OumEPpSSO7PkbFRXZ8\ntIEssyvL4Yo34+kBSosrOI6N73kMZ7L4N+ZJJk0q+QLK5BJfPPUcruvy8o2LjD51Cn2hgOd6qIZO\n0aoglW1GEilwahZ4WtM5kR2iJ5slWbBwy2Xcqs2gmqBvpcKLx09j1wdsreQ5efBwR+czm87wwugB\nEvkyXr6IkS/zwuiBhsXdBYKHDWFh1tFpHmZgvQV5i+0WHdiMhdmsn40iX03TxHXdpnld3epf/efr\ny/wF9XDr3cCNjiX6fXTrafeHZ9/mWtZCS2RxJAltTx/nc0UOXrrAR56qpYLUi6xhGOi6juu6JBIJ\nPM8jlUrVltkaHuXs7RskMykStoaly/hVh709A6iqiuM4HDswjjqvc/bOTcprJfqNBF/48Bcolkok\nzASnjp9AkiRWVlaYc8qYTpLjh4+wcmOSiqyzOrPAwPhRVFXFdT2YXeb02FF6e3o4aFe5kHPIr62R\nVE1Ojx/lxOEjLC0tUb1hcX15Cdtz6TNMnhw/3vaDUpTRgUGyZpJ8Pk82m12XViLoHsIlu55SqcT1\n69dJpVLouh6uDRv8X9O0LQ9QEoLZgHbdnNG8xUDAgpSMdumGhblR5Gs0ZHyrCQogRPM6W5X52y6u\nrsygJhPgeWC7zOdWqLgOf33zTT70+NNt7evmndvcXF7AThmsLRcwVy2SewYYSRh84rGn0TQttKZf\nfOo5njh8nIsXL6LrOkNDQ5TLZTKZTLi4czKZxPTvWsa2x0BvH6gKA5LBkCPjrJXpRefM0cfh7vU3\n2N/Pk/sP4e31wnP8d2+9wcTyAr7nsTfTy+MHD6HrOp7nde3muFtvrlvBbheUrWK3HO/09DS/+Zu/\nSU9Pz7rAPajFITzzzDP8q3/1r7a0D0IwW7BREn0glFHrLRDQdtnsHGbQh/olwBpFvm5mAMQV9Gjy\ndZBTGc3rbHUswfZbOVBNWQUs/KrD1Nws+R4VW5MpkOebf/kn/O/f+OcNF1uux3Ec/vrqedLHDjJe\nybGq5zF1B2V+ja98+Fn2jo41vB6CY5NlmXKlwqvX3mNGctElmZOZAZ4e2Ms5u4iqKviqguf7HOoZ\n4PDwHvr6+tizZw+mabKwsIAkSZTLZRaXl8mm00iSxKvvnmWuN42UTYPvcwOH8vuXef7EyfAhJtqX\nZj9BsFMgsrvl5hkg0h66R7MHgt1SjOLAgQP89m//Noqi4HkexWIRx3FQFIVKpUI2m93yPgjBbEIz\nV2czN2dgvW1mlZNg/50QuDzrlwBrFfnabopGXALrNqDd6kXduil7nsfVm9dJmSn2790L3DvmT556\nlnd//FesKi6OqSLJMvbkAvsPHWQhneTln/yYz3/44/f1pf7vSzeuYw1m0ICxvkEyRQfDq5Aa2sOZ\nU09uaM37vs/3379AZe8geqa2ZNtF2+bJapVP9A5xcf4WdslmLNvL/vGRMOzfsm3euHqZmZVlPrg9\niTTUTzqVRL9T4YnBMebxSJgJXMfFdR0URWXGWgtdzaqqxkpkr1ar4fUeXFtBIYtgbjYqsEF0czQF\naLeJ7IPCbjl/O91+gK7rHDxYKwc5NTXFG2+8wb59+3j22We5desWR48e3fI+CMGso1kUZn1kJ9wr\nOtDIemtX+DZTLAEgl8sBtRzGYBHnjdrqhFb9q48MBsK6uN1qIy4Xr1/hD3/yMssDOpLlcvCHMv/s\nzGfD1JS9o3v4+uHn+INXv4Nr+iiSxOHRUcxsGllVmFpZbdqf6N8JQ8e3XQr5HBMz0/iZJBnbhYU8\na/kcmqK2PN9zCwvkEyrRb0vRNK4sLvGVFz/BwYFhFhYW0HU9tFQ9z+P/fet1nP2j3KkWWBrtpVQs\n8HjCQO/v5c3pCfSeLAlZwq9W8R0XUia+ooZzsvXLe7VKZA+C16LJ7J7nhd6DRit3BNHFsPGqHY0+\nIxDUExgoly9f5o/+6I945513+NSnPkUqleLf/Jt/w7/+1/+aM2c2XlR9MwjBbEFwcwjcnHES/Ler\nAEHgEg5cr52sbLJZYVpcWuI7P/we2WSaT73wYvggEUSZ5nK5js5HM6subn89z+MP3/4epePDBLIw\n4/t8661X+cef+lL4ucP7DvLi+Cku9nr4iozkeliujyd5DOjJpvsvFArkcjlUVeXYwUNkLp3lnflp\npLFBFN9HkWy0fUm+/ZMf8Y0zn2zZd9uxQZXB95HyJXxFgaSB49fO5dLqKm9dvUzRdzF9iUP9QywV\n8lQHe1AliYJtQUJHGexjfnaRg8kkyT3DrHxwm979Y/iuV5unBXpkNbQsm53z+nMfBFYE0cJRXNcN\nI4mj6Tiu6yLLcuilaWXBNmMjkd0JYd0tFt9W0ez4dsvxBoL505/+lP379/P1r3+dv/iLv+DFF1/k\nl37pl/jOd74jBHOnCCaU8/l87KIDUToVozgpIvUF2wEymUzswgPdELFvff8l/uDqKzjHB3AqFn/8\nh6/wLz//Tzh9/GQo2p1G1m5WyC9dfZ+VEbOWi3h3zUlJlpi0cve1d+bEE1z96StYBwbCts0bC3z+\na19a1yeAyZlp/vMPv8eq5FK5fZFDrsY//cwX+fSh05xbncOrVJF9MD2J3kwvtwuFDYVibGSUxAdX\ncLMZ8H2gJjCHzCxruRx/eekcUkIH1aBsuSzdmWBftgelZwTfddFsF1vz0GwXqWoxdWuCVcvGsF3m\nf/Bjju0ZQ9FUlIUVnj10rGVUdSsafZeSJIUWaxTXdcOoxShxi00En40rssF8Vjsiu1tEoBW7Ze5w\ntxFUArt161YYWFkqlbal3q0QzAY4jhMOVsdxYs0HBmyVhdko8jWRSDR1icWh04jcUqnEf7z8Cs7p\n2nJRqmlQeG6E//TWS/z2409uuo3NkjKT4bqTRtHGUyTspIYm3e8RME2Tf3bms/z4/XdZsUpkVIOv\nfvYb97mRfd/nP7z+PcpDWQzLgd4kc5bDf/nRK3zpqRfY3zOA3pdFKVWQKzaeBGqTdS6jr8myzIsH\nj/PGnZvkTRU8n316kq997DO8cv4dGOiBQmRePJ1krVjELpfR0il6NZ2ybeNrCoXFFdw9wyhJk2OH\njiIbOoWzF3hu/AiPP36i6fkqFIu8fOE8s+UymixxpLePjz/1dNdFpd2HqGZu4nq3cEA7Vmxccd0N\nArtdbTeyMHdToFfg0Xvqqaf47ne/y2uvvcb4+Di/+7u/y9tvv82v/MqvbHkfhGDW4ThOOB8INcut\nkxSIblqY9eX1oi7hZoXKu00waFzX5e9/+Cr5/Sk0QHV8fFnCVyRuVpa60tZmRfbQwXH2/dhjfuje\nflzL5kR6qOG+s+kMX/7wJ7AsC03TGq75OT07y1xKpRaH59dcqEjcLK3R29vLHk9lkXv79lyP45n+\npjeboFrQ0NAQI4OD/PL4OEtLSySTScbHxwEoOg75Ygl7ZRVVVsgmU0hIJNMphm2J28UyvZksxaUF\nLp8/i5lO4eULZCWFUiFPxhxEH+gjaehNLcvF5WX+z2/9V3IDfWiyxJ50Bg8P+fx5PvZ0e+k1jQgE\nrZOyixuJle/XCvUHS9BtJLCNBLeT/ti2vW41nd3gLn5U8H2fU6dOMTAwQCqV4tKlS5RKJX7jN36D\nI0eObHn7QjDrUFUVwzDCuZh2B/pmg36iNCqv18zS3aqI1/r9l8tlxoZGkC9VkDImyaqEq0DZhKxq\nbKqdbt5k/pcvfIN//+pfM5VbQpNlnh3cx5df/Oh956lVm57ncf3WLVzHZt/YGJLngQxK1Uap2KAo\nyHe3/+rzL/LS2beYzeeQHZ+DJPja5z55X0qJ4zj88ct/x9TyIram8KOZST564AiPHT/OwMBA6GLy\nfZ9r169zXffolyRk2yW3VGI0k2Eo3csnXzjD1NwsF69dpViwOPLUU6wuLEAmjanpTN68xamBfiRZ\nxb77oBXsN9qXP3r1FVYH+9CSSTxgslJGXVvjhiTzsU2cf8dxeP3iJeYqZXwfBg2Dj5w6SXILixx0\nYg3GFdeou9jzvFhiu1krdre4ZHeT+AcPftVqlZMnT7Jv3z4OHDjAvn37tqV9IZh1SJJEKpWiUCis\nc/e0s/1mCJ58y+VyWI2nVbL/VkW8Rj8TLZAuSRJPPf4ET7z1t1xyPYLqiu5ykc8deKrh9jtBf18/\n/+If/jJzc3NomkZ/fz9LS0vrvtNGwQ3BjfHKBzf5gx+/QsnU0aoWmcnr9HgO3h4jtCM9z+d4qmZF\nmqbJVz/8cZaWllhZWWF4eLhhUNi3fvgqkz0Gmp1GkiWqaZPXPrjG8UOH1uV9Xrt1i+qBPaSv38BT\nFRRNx/F9rOkFjj75ApIkcWjffpbmF/jOlffxhvvwqQUBebaNnjAorqySKpcZPtQ43P6969ewUkmo\nVsD30StVPEVmLp9nsK7UneM4YWWfIFq2FT++dIl8Mk0iURPIIvDDi5f4/PPPtdxuu2nHGrQsC8uy\nMAwDWZZjWbSbcRMH12p04fatdBPv9qAfz/OQZZlz587xzW9+E8/zOHHiBL/zO7/DmTNn+LVf+7Ut\nz8UUgtmAeh9+J3RqYTqOw+pqLaWhncjXbluYjdJogDBl5f/45/8rv/utP+Lm6iyarPDxI8/z33zm\nSy322DmbCQaKE+RSP0/j+z7/4Y1XKYyPYBTKqIrKaiZB//QK2eUyK4UCfrnMkWQfP//Zn1m3XaP/\nBxSLRd6bmYK9I9HG8fozXLx+jadOngpfvj43jZHNcuToUSpT01TLVbREgsHB9Lrz8fa1K7iaggT0\nmSZyqUhJkcCX0JZXeW7/wfu+b9d1ef38ed68eoVlfLx8Dn1wAMVx8GUD1/cZTabCNs5dvcLNcgVL\n10m6Ds/v3cexu0/0ja4lz/OYK5VJpdaL7srdggnJZPMI5IDF5WVmllfRVYXDe8d2vDJUlCDYKQ7d\ncBMH5SQb9aOZpfowuomDB9A/+ZM/4etf/zo/93M/F773q7/6q7zyyit87Wtf29I+CMFsQjddqxsR\niBMQzo0E4fob7W8rLMwguCh4wg1yTaNJ+IZh8C/+0X/P7OwsqqoyODjYsG+7xa0E8fszOzvLbFLB\nhFpKxt1tZiWHf37m00xPTzM2NhY+PDgRl2cjHMfhpZ+8xW3F48LKIubSHI+le9ESJqQS+K53XxnF\ngWQap7CM5vkkdRMzYeJrGka15p6fnpvjry++y/u5NQpWFWd5mX5fJp3OoEs+/Utr/OrP/TzXr19f\n1z/P8/jrt9/G2jvGSjrN5Zlp3IVFpGKJ1EA/1arFAV/i05+reQtu3L7NtXIFY3AA7e4N6wfT08zN\nzKAbBk8cO8bQ0FC4//D83r0urUIe3/Mxsll84o2nizduMlmqYpgJfNvlgwvv8eFjR+jdhkou3WYz\nbuJKpYLneevc9N2Yh232U190IujzbqmklM/nyWQyJJPJcJqqXC6H98rtqGksBLMJ3XCtxvlMfY6n\nLMv09PS03X43LMz6AunRNJpmxdq3wvINxDoYyME+giW3uvnk3Ghb0zRR7Nr3oVYdVMuhiomOHK5W\nIkkSt+7c4bUfvMxCpUSPpPL8/oOM9Q3cd5P8+7M/ZSFtoKWTDCd11qwqy5NzjIwlwJfQ1wqcOrM+\nYOH5xx7n9b/6NuXkvQIDXrHIoT01y+5vL76HMzRAYvoOfYP9rMzNY7kuXjKJ6jh8+fkPrTu25ZUV\nJmZnKRSLlDJppmZnmXccEmaSwvAwuZUVhotlnh0d5Ze/9OXQgppYWkRLJGrfge9TKJW4trLCfNXm\n8P79XL/wHmf2jfHUiXtRuLIsM2QYlAifNQDogQ1D/4ulEpP5IsbdwCtJktB7erkyNc2Z0+sFs5kL\ncavYrvbqr+uNPExxUnTaEdnovHswRbUb+N73vsetW7fwPI8//dM/ZXJykscff5wf/OAHzM7OcujQ\noS3vgxDMDejUwtxou0YLS1uWFS4b1W57nRAdUOVyuWWB9I0GbCdt//Anb3N+4gYHBob44sc+GZ4L\nx3GQJOm+ge04TlNrrtlTcyCy0XqoGx1Db28vJzC4GXnNtR2e6xsO/y4Wi/z5e+9g7xtF8tKsOA5/\ne2eCL9gOpr4++OlOKY/UU8uzHBsYRJ6Zwdc0SjMLjKLw0VNP1tapjByvoij8yud+hr/4/ivMWVVM\nReXw2AGy6TSFQoFVpWYB9/f0ks+t0jc2SmJplcGBAUZVnQN3Xaa3Z2Z4+fx5bisKhqFTWFlBSiSg\nt5dMJkPV9zGR0C2HkVSKr3zs43XuxrvXs23jWzZTi4tIyRSSXYskT/T28tPpWU4fPrzuevnwqZO8\nceUqa4Uc+JCWfD566mTDcx9lbnERI52ufWeWhSTLKJpGvolbUtC9dB3btvE8L/z+g8/tFgtTURRc\n12V4eJjPf/7zlMtl3nnnHbLZLJVKZVMr8MRFCGYDohdgt12yzZa5kmW56VxFHDoVrSCgx/f9sIxd\nqwLp7USZttrHv/x3v8uPklXkvizO0jz/5Zuv8Vu//D+G61BGB6llWdi2HS7f0878j23bOI4TPhDY\ntk2hUECS7tVDDax7x3HC/f9PP/NV/uiVl5hcXEP3JV5IZPknX/oy09PTAPz06vt4Q/3r2pJ7Mrw/\nc4esovH6B9dx3z3L0XQPQZSQbNlIXk001YLFsz0DPPvss00fApLJJB978ilu3LgRlrMLb2hebZu0\nrnO4r5/5fA6tXOVEKsNjR2uLOZ+/coXXbt5k3kywdnehbkuSUDSd1cVFhvM5fMPENQwsXefK9AxT\n0zMkk0kMoyb6R4eHuTM5iabXxLDsujirq4wODOIF/U6lmJqZ4dCBA2HfE4kEn33uWe7cuYPneezf\nv7/pdRKlN5ulOjmNljCwyiUUTUfRNJLbcDN8VGjmJg6uw2jd5900pfKVr3wl/P/q6mq4/J6u61Sr\n1Vhz45tFXIVbRP2FtlHka/Sprx06sTCDbWzbDkV6owLpm7Ew64NqXn7jR/wobSP3ZPA9DyVhcPvk\nKP/55b/hf/jZr6OqKt7dG3y0bUVRWj5FNnpyDuZ/NE27b7+B5RlYorZth8tfAfyTT32B69evUywW\nOXLkSFhX1XEcylYVXzfAdlBtuyaKssyt+QWS/X142TTVdJrlShl/YREzuz63M2k59Pb2hhGQjVhY\nWuKH58+TW1lmOJNlaHAQTdMwTZO9ssaS7yNR++729fbQpy1yeO++8Ph+MjFB2XFA1bCsKilJhp5e\nnKVFbN+nkkzRI0mU5+dRUmlWKhX+7x+/xYHJKZ7ZM8zHnn6aA2NjPLG2xpWVFcq2jba8wvjBgyR0\nDbdSxQfcSpm+np6Gx2AYBsVSibffu4TjeYyPDLNnZLjhZwH6e3vpvzPNahDNLIFVLPLYvj1Nt3lY\n2W6X824nSPP79re/zZ/92Z9x48YNUqkUnucxOzvLX/7lX3Ls2LEt7YMQzCZ0y8IMrLhgGbBmVtxm\nn+jibue6bljsIBCUwMLtpJ1OAnvOTt5AyqbA9dBcH1eR8TWVO1bjIgxxz02jJ+egjJZhGGEQVTKZ\nrFlblhUOwug8kSRJYc3VYL4SCCvLeJ7H4eFR3p3+ALmvF99x8SUJ27awK2VS8iCu6+K4LposUzFN\n+u/MUUgmcDSFPbpJfzLNX7/1FlOv/4g+ReVzzzzDR55+OjzGS9ev88fnz6HoOvn5Bc7OzWFMfMCB\ndJYPP/YYX/3wh/n7c+9wu1BAUlTGBwboHxtbdz4qnld7SCiXyGg6huPgShLK8AgrZ9/B9SW0dJpE\nbx/5cpm+TBYH0AcGeWc5x97JSfqyWU4eOsQzp0+Ty+VYyOd5Z2UNrNqDn+e67NM0epsI5sLSMm99\nMEF6zz5A4YObk5xYXua5Fu7ZD50+xfsffMD0mk1Cljl1aJz+vt6W3/128LALWLPxtVuON+jH7//+\n70/LEcQAACAASURBVPMbv/Eb/NVf/RVf/vKXmZmZ4c0332RgYGDL+yAEswmbvUg8z6NarVIqlUIL\nK3B1dWLFbbaf9RYu1MSkUVWbdok70IKHhwwqXtVCU1SSjk9VAkuBHiXenGk3+xf8BO4dqM3ZBC7J\nYDV30zRJpVJhZOy+kX18JJ/nzYV5vKSJXyxxWNKYGqhFCztrOaYnJ1krl5BcD3V4jEzV4XNHTzDQ\n28f/9e3/DwYHsU2dFdfj3//kTXRJ4unHH6dSqfA3Fy4gDw4ydf48qVQSRZYpuy4FM8Gr71/midOn\n+dpHP8758+dJJpP09fVx5cqVdcc3nEhQGRxk5dq1WrasqqE7DqrjcOTAOIVqFao21dwMZjqF0aOj\n2jau47C8vMJLb87z85/+VHiuNE3j9OHDpGdnOfv+FSrVCsd0lTNPPtv03L9/Zxo9c09MjWSKK/PL\nPHaoct+KKdHv5diBA/TfPd/bsc6h4B6NHuR3A8E4TqVSnDhxgomJCW7fvs03vvEN/vRP/7RpYGI3\n2R2zubuM+py8dgg+HxSE9n2fRCJBT09PrDUhu21hBiK1trYWrqUY+Pq7EVwUZx+e52FZFmtra5TL\nZb76iU+z5+bi3dQDCQlITSzw8x9uvbLHVtDIQo7+XX/zCMRVlmU+86Ez/G+f/hk+1zfKP3v6Q/z8\nZz5Hv65RKRZYzpeoZLP4Y3shnaFUreCNDPODa9f5r6++CoP94eiTZBnlwH5eunAOz/NwHIf5ci1S\nuOK4yL6P74MrSVQrFYqGwbuXL4dzsoE7Odg2sII/98wzaLkcY8PDGCsruMtLmOUyezMZLNejd3CE\nnpERzKFhLFmlcucOParGO+fPM+F4XPVk/vjVHzAzP7/u/Bw7eJCPnD7F88eO8vxjj7X0TuSrNZe/\nZ9u4VhXf91FSaWbnF2J/R77vc+XmLV479y6vn7/I1Mzsuu9pN93Uu0n9VMajTvBAe/z4cc6dO8fx\n48e5ePEiy8vLlEqlbcnVFRZmEzpxkQaRrwHtuju7bVVFi7UHuZ3BU/1GCxu32m+c16IEK6NDLaCg\nr6+P3/3v/mf+3Xe+xVwpT1Y3+MXP/wLjY/s2vQB3Pc0EsT6ycKNIw+g+isUif/fmm/iKzBPjhzhx\n6FD4Hb8wfoRv/fhHKEOD+L4L1SrJTIZioUifZVFJGJQX56CvD8X1ydo2rqxS1WRKrst333yL29UK\nl2/dIpvPowGK5yPhILseWjKJQ23KNFiPMijAX6lUuHrzA9LpFEfHxxkcHOSTjz3GzclJjp9+DNn3\nyTkOa/k8TzzxFJrnsrRUq/9b9SFpmizlcshDe3Btm7HRESQZ3rx2MwzoWVxe5s2rN5hbWEDzPFxZ\n4YmTzQu7pzQNC3BtC89x0DUdp1xkoP9wy+8ter7ffu8yC66Eqtby7M7dWaBq2YzvG2u2uaADGgn0\nbhLsd999F03T+MIXvsDv/d7v8Vu/9VvcuHGDF198kV/4hV+gp8m0QDcRgtmEdi6U+sjXgE7cnd1I\nY2lVrD362W7kbjZ7PbqSRKMVX4YGBvgX/+ifsry8TDKZJJvNdl0s4/Y1ykYPBDcmJ/i79y9THBrA\nV2V+cvk9PmKm+NTzL+D7PnuGhhjI9pKXZBLlEqlMFt33MBIm5VwO3TR5cnSMc/k1JFlFd8GSfDzH\noVIoccsw8Hp7GUmYTCwtMry2BoZBZTWHZ9ksVi0M12G2f5Cbb76FUS5xsreX61NTXJi6g9/Tj7tW\n4NKbb/GPe3uRZZl9o6Pouh5an7fn55kwDKRKmRHThFSSPtth5fYEa56EmkxzoH8ATZFxbZui64bV\np75z9gLqyBiks1iWxasTdzDNBEcPHmx4/o6MDHF+dgHjbqk917E5kDbJxBwb1WqVmUKFROaeW1ZL\nmFyfW9x2wXzYLdrdzr/9t/+WcrmMJEn09PTw67/+66RSKZ555hlu3LixLd+LEMwNaCUqzSJfo0tw\ntUMnATSt+tPOsmTdwvfvX6+z2dztg3Djqe/ja+9fwctmAAnHsrA9OLu0wJlSKXzCTWoaftJkAJ/S\n3YWg/UoZs7+fEdfjF7/6s0z8we+T131cVQXLInl7jqFjx8L2+nt60FSF0swsxakpbDOFbyQpruUp\nVspYS2sMDg6gFBZZOHuOFVlGTabwVQlZ1XGTSb537gJnDo+HVVGCCOMj+/dz89ZtVN2opVlKEuWq\nhSKrqKpC1fVrFXp0FRQF7ubFXrx+HTfdA3fnOX3HRslm+enVG4wNDa3LnQ3yX0cGB3hBU5lcWMJy\nXI72DnH66P2rSgSfr3erFYol5Lt5rVapiKQoaEaCit26utLDQBB09rC21y6/+Zu/GT70Bb+DwD3b\ntkUe5k6xUR5mnMjXrY52jfYVCF1y0LpYe3SbbvQveryBZRtd0ilYTDhOmxtZsZ2c00YFEBoRd9+L\nVgVdTbJ48wMK+BQ1A31hjm/O/zl9IyP0ywpDhkGhWKIvm8EvFijlC6QqFgc8+PKLH0VVVb74/Id4\n/+ZNClaV3myWQ6cf56X5BfB9lEoFX5ZZWF3DrZQZ6e1HVhSqazlsoCipvP797/PFr34FTdW4tbaG\nZBj0qzK+65Ev5Sj7PkuVCh86VLP83rt+g9l8Edvz6UmaHO3v5dZqDqT/n733+pIky+/7PuEjfVWW\nb++7p6enp8ftzszurJtZaAFhCRAEIENBEEW+6PDwSX+CXvhCPevoSA8QwQMQIrmEE4HFLhZrZ3e8\nbTftu8vb9Bn26iHrxkRGpa2q7nH5PSdPVWXFjXvjRsT93p+Hrc0tapUKJ0+eYnF5mXXLZt11yTsu\n6Uyao/ks2WyWEDBMsxVW6rYStiuKghsGXZNMOI5DLpPhQjaL53lMTU21FXsOgoCfvfMBK7VWiMpE\nyuArF8+T3i7XNVbIw+IawjQJfA9VCLAgb5mM8PDxadrUFovF/gc9ZIwIsws6PShCtCck7+b5Gl/g\nd+NYM2g7aaeE4XPQyvbDjq3T92EYUq1Wo7FI22085V+vcz7q4OhOqrVB71PBNFlZXSPMZMiYFpVq\nlTBXYH1sDD2bpVyrs7K+ztdOnWKlWuGIneXQ3GFmikWmp6dJp9MtxxdN4+jcHOl0mlwux+zsLD++\nfQc/lUIJQ6r1OltBSMbzwdDwS1Xs8TwKCrZuYWXzvPnqL3jpscewcznWV1YoToyzvrpG07RpGgZb\nlRo/euNtimmbe26Ilc1jIWiaFrdLVb771EWuXLvGfE1j/PQ5hO8yN3uAYGOdetOhVK/y5OPnuPT4\nJXRd5+ShQ9y6cRe7MIZQVIQCqqpxeHwMTdP44etvcX+jDEJwcmqcrz/3dJRsAj6uNhFPMvGzt95j\nQ7Uxsi0psgL84LW3eeW5S5H67chYhmsrayiAGgr89VUunDkemRzk+YbNePNpxif1TozQGyPC7AP5\nIHVKSC6TkifxKF7a5Hg0TSOXyz10B6P4iyUl7UqlEoVfZDKZHaqR3XgaP4w53I9zvnD8BP/vws9Q\nM5nWhmVzg+yBAwhF5e7KKmOpFKFl8cN33+WffvvbFAqFyGN6eXWVn169zmKjyXjgcXDbOQda9++V\nx87x/cuX8QoFtjbW0TdKFIsTKJ6PYehkALGdNsi2DPwm+L6LrmnMWRbVegNf00GBwHGYK06waZis\n3H+AfeAQQgjKpU2aXoA9PcOdhUUOzM6y1XRwFCAMUQKfI0eOoYQBR5SAF568iOu6KIrCeKHAMzOT\nvLmwjCIEldIWa3fv0Tx6gv/4iz+iUJzg+PHjBEHIvVDhp2+9y8WTx6J0j1LzAR8/ExuOj1mwWtcl\nWldXV0zq9XqUt/fUkcNMFvJcuXELU1O5cP4spmlGG7RkysR4uNAgn0HxSdgwH/UG4LNoNnmUGBFm\nF8SD1cvlclvOV5mQvB92K2H2QqfUep7nRYvLMNiL2lgStuM4KEorQfMgYTP7OY5uuL+wwPd+9hOc\nIODJA4e49NhjXY/tFCva6f/y+yfPnuPV997ngRCoImTGslB1Hc/zyGgaqhAoqoprWbx6+TLfeeEF\noLWo/+W77+POzBDkCzQ3N/ioWsNeXuFcNsv9hQVeu36TZtPHWb7FCVNj6rHzqKsrOEsLhLqBSiuB\nudtsUtMNFM3AczxmbZXvfOfb/Ns//3MUFFRUplMZJo4eg9ImJc/DcD0e3L2DlsngpPPcebBMYWOF\nl556kkMTRVZXN1H1j59pr1Li/MXHd8zLs088zuOnTvDjn/2cq47Puae+hOv7OPk6dypNVl5/k+PH\njzM7PcWd9TUunuwzryioqoJbryHClhSsGTqGaaKHYRT/ats2mqpimiaFQiEyAch0hsmUiXupQ9nt\nM5LCRhgRZgcknReAKHh9EMPyXndlnYhWiM4J0jVNizwYh8GwY4wTR6VSafPANU2zY/7Zfn30On63\nC9Rr77/Hv/6Hv8eZm0HRNH55/QrfeHCff/VP/4fomE5hJr2SGyT/d2ZujlKljGlaBI0mG80mBCGm\nZaEJgXAcUnaa1VjVh5v37+MlstWohsX8xjonjxzmr977EDExhZnJY83MUms2cW/eYGxuDkXXadRq\nYIyhhKCJVuWSVHmT7ESBQrFAEAQcnJgkpeqg6aDrEIbU6zUq6xvcW98iNTGJ6fk0azV0O03VNtnc\nKjE5UeSSpnH57gMavk9B17h0/AgTxfGO85FKpQgFpIsTgILreixvllDtFEHD4cH6JuvlCieLWcLt\nbEPd5neukGZTiCjfLkBOCSjk823PdacEE9B6P3Vd31EerVOaxF6fYQg2boPdTwn2k0Q36fmzMv5H\nhRFhdkCj0aBcLkd/53K5XQXF7jWtnjxH3Os06WAkX/TdkMswbTptINLpNJVKpa0c0F772et5/vTV\nX+AemEXOpJbL8urKCv/t2hpWYlEd1BEp2e/po0dxbt/m5vo6WdPAnV+gns2AZaFXKqSFIDU7gRUL\nk/GCAEUzEWGI4TvUalU8P2C1VGLjxz/HmZklnjraSGeYOXSIKU3htqrjpNKIZgM1nUITwFqJvJ3B\nLRS50Qy5/pOfcy6bYqNchWyeMAi4cvsO4sE97IkZ3I1NLFpJElzfY9q2sPN5Vra2mJwocuroUabG\nxnBdlzNnzvQsBCCEINze1IkwoLS2ikWIr6gogK7p1BSDoFLpO8dfvfQE//DmuyxUywghyGrw0lMX\nhrpHnSDbDdp+EIJN1hUdZizDEuwohOXTiRFhdoB0VJBOCsOS5X5ImLDTTtkpQfpeFpRBCChO2BLZ\nbDbyfN2rB2u3Pgc5rhMW6jWYGEMPQtRtu5hfKPDulSt86cknBxpTr2uRY3n2sce45PuRhP1Hf/mX\nrDQaFPJ5LN3AaTYZV2B9Y5PxsQJHZ2f58OYtlPEi61slUiGgqFh2mlo2x/ydO5w7/zia7yM0FWFq\noKo8fe4MaysraJqO4rl4jsOYAlMHj5L2W6SmqCpKYYKl9SWeOnGc+6ur3FxaRVcs7GwOJZXBNOuo\nqkJK1TBsGy8MCXwP29B3PE+DzPfB6UnuX72FIcDxA8bzOZY3tjAJ8OpVVCE48vjx6NmVOX2TME2T\nX3vhORYWFvB9nyPbCRKSac4eNoEMQrAyB3Nm234tx9VPau1VVq7bWOQ4giCIzB7S5BLPbzwi1EeL\nEWF2gK7rFAoFtra29vRA7lbClOEZSa/TXjbKh2FfSRI2tF7WpPqrG4bd3e/Hyz9tp6gCRhiihyG+\noqCXKlw4c2aosfSDHKvcOPzeyy/z03ffZb1cwa9UcT2fm+MT3HrnA6aVkJeeeJzn52b51cIitYaD\n6XoYnkN+Zo5AUfHtNNWNdQr5PIHv4Xo+Zw+2qnqYmkpNgKKoWKZFoBuEHhi6AWHY+gA1zyOVsrlw\n6iQl1yc3c4Slqx8QANm0je54IEt1CjCrZQ6dO9V23Y7j8P1f/JJqwyVnGTz/5IWOZgjTNDl3cJq7\nlXWalRKbG2WywufAWI6xYp7cxAw379zh3tImQlWZSOk8/8RjTE1NdZxP6TQ2zH34JKWw3Uiww35k\nO7kOdBvHMJJrv03qiIB7Y0SYXbAfktNuvEPh452sruuk0+medtOHQehhGFKv1yO1nCTsThuIQa61\nl32wE2RuVHmMbB+GYd/wgd999kv876+/CuMt+1vYaPBsPs/M9DSVSqXvWHcL0zT52qVLLC0t8Tev\nv0Ezm8f3AtKZFOuKylvXrvNbr7zMM+fP82/+5N9TGCtiajlEEKBYOpO5HMHaCrcXFmiioGo6HwYe\nk+kUU+PjlBeXEdu2Ow0FZWmeyScvoVa3EEFAvVKGcoVffXiNlGXiNVpq8nw6Tblew0xn0GoVFMel\nWa2iCIFy+BA3797n3KlWmrqm4/Dqh9cQM0fZLDUp1Tb5u7f+lO9+6RIvPf/cjmuenZrk5PE8q4ur\nNIrTGNkcTr3E8vIqK/OLnL30HMKto6gaNSH46dsfcuL48aHm9fOygA9rz/R9PyqKLG3A+2F/7efQ\nFH/HRtiJEWF2QHw3tp+qxm6Qak9JUIrS8jodNOBfnmM3Y4w7GMkwEal+TSZAeFgvUfxlBbraz4Ig\naMuB2+nFf/7iRf63TIa//tUv8cKA87OHePGpp7qOf1AVbBJx27Fs7/s+3//lr3CyeXw0HAFOuUox\nm2Gt0UpyYds2F44eY8FpongfS+5zmmD60EHuugLNssBOs6Sb/P0b73BudpJzhw+ysLSM6/sULY0D\nFx/jfthq77kO9xeWOVUcx7EsmopGud7AWF8ln88TOg3WK2UsQrKWimHlyZ84i+M63KmVqF++xgtP\nXeSvf/ILNlWb+ZUrGIZFPp8lLB7ghx/cwBWCFy89seOevXHtFsWDR8gEguWNTVDBCVXGx8dQNZWP\nr1BQ8hU2NjY6BqD3e36/aBJQfA0axNFwGMm1F8Em3zFZoWeEFkaE2QO7JUyJQRaBeIJ0iUwmM7Da\nU45zL0iOQ1FaCRk6eb52DQ/ocK3DkH29Xo+ch1RVxbbt6AWXqa8GDR84fvgw/2OhgOM46LpOs9mk\nVqtFaQObzSZhGEaVPuJ1LjtdQ5wUe6m2PrxxAzfTqvOJKrCVkEBTqTYajMeO/9ZzT/PnP/wRFc9H\n0TRMz+HXnv8y3/vVm1i5MVzf587ly6x7AXME2J7DyWNHth12AkrlBpqvMqUJAt+nulnm4MHDpPG2\nnU0VctNzNFYesOoEhGHAmKry3LmT3JpfJj02ERGZpmk8KJf547/+PhUfjLxJSIimKdTqddKZLIGi\ncGOtzLPbGxk5F6VyhdeuXIdUHlPXODBVBMdAmBYriwsAhE4TFNCsVFvbQZ6JTxuk092nEcNKsEkS\n7faOfVqv95PCiDD74GFJmJ0SpCuK0tfjtBt2K2HKHWW3RO37gV4qWZnSL64aMk0TTdOidqqqRi9z\nsoZiJ+cLGcqQjNGTxCgXB8/zcF03cu7yfT8iahk64DhOlLPSdd02go3Po6IoVJpNUpkCtdUldEMH\noRAoreQCB6c+lqosy+K5x862KoUoCsePHePw4UNs/pe/w9vYolHagkwBa+4omluiDHx48yZCNVF1\nHc1K08wVWSxv8OXZGWzbZiWVhdI6+AJ0Fcf1uVfxePzEMYTnEigaNxeW8YRovfS+h+K7lNY3Wd7Y\nxLczaG4TtdoAoWDQ8grVPIeUaeKhtzl+VapV3vzoHk3FQFMMXD/k1t37HJuZwK/XODs3jSsErXiR\n1hzl9bBnkd9uGoBez9DnFY/CySl5bpmPNb5ZfxQlsz5LGBFmD3RSWw6DTi95rwTpuyXLvYxNhs8M\nkqh9Pxc0SdSNRgNd17FtG13XqVarQ52nm8RnWRZCiIg4M5lM9D8ZT+v7fkSCnWIFpXejlEZd142k\nUlVVCYIgShgRhiGTmSy3SitkC2NUSmVc0Qq/mNE1njj1sXON7MeyLHRd59qNm/wff/Y9FvU0ufE8\nqmETBCGbt29w8OAUuq6xWW4yNm5DGHPAyhZYWttgvJBlqemDAAVBGAhK5QpjxcnYPIFn2IjaJp4X\nsFpZRWnWaVbrGJYFukkmlcYrraJjAQaq72FUN5k++xhas0oul4vOd3t+GTWV4YBV4MH8AnquQKhb\nbG5ucGZmgt/59W/x1z/9FQvVKqhQCH2++uTHiRB2i/h9/qKpaR8mRnM5GEaE2QF7fWg6kUg/+2Ac\nu9lND6PqchwnkihlQelB7aXDusd3ap+ch2w2Szqd7ukNuF+Q7vmapkUOFYqiYJpmRHzShixtjrqu\nY1kWtm1H0m/SxT8MQ44dPsTN+/OUVZX85ARBILDcJr/+/HP4vh/l1vU8jyAIEELwy/fe53ZDMO+r\n2IUcTr2ObZpohkVOgynbArGdMzUQhEGIavgoYSt3sEBw/PBh1q/fYtVp0vACKk2X9cVFSmMHUBoN\nUobAsLPkDA1N1bl59y7NsVmUchVF18kaOnh1VHuM7FiRrcVFQrdGOpXmxMkz+NUSX7lwqi2cwfF9\n0Ayy+RwnxBSr6xsgQooZjRefvohlWfzOK1/j8uXLAMzMzHymF+MvmoQLX8xr7ocRYfbAbiXM5C44\nmbC9W4L03S4og9paO4WJ5HK5gct/depnGC9Z13V32Eld143I51EtqMmx9lIZdyJYTdMwDIMwDCMC\nld+/+NRFbt+7R7neIJ1Ocf70E6RSKWq1GpqmoWlatDGYX15mUzHQsyZq00MxLCwVjMBHsWysTI5S\nuYRpGQjPpVp3sAyo12o4Wop04DM928oe9Jtfe5H/58/+I6ErCDwfYWepKRYNp4lt2GxWq6g6NEtl\nUGzq8/fIaT722DS+pjGTHaNS2iLUDPL5PBcOTDI7nscwdC6ef4apycn2WFzLpO4JlDDEMnQOHjxE\n0GxwZibTps43DGNgp5XPgr3sUT+jn3R/n+VNzsPAiDC7YFgjeifI8kaDJGyPY78lzE5hIv3iu/Zz\nbGEYUqlUov5s2yaVSvWc4706XHVyVuq0GHSTgpPnGWRDIMl1dmqKgzGCNQwDwzAwTRPLagVCappG\nueEAGoQC3XMxQg9dUdCET71Wo7G5QTVtYmohQaiQdmuEoUmgGizc+Ijff+EZbLNFwLfu3CXQbcLQ\nB83C1NK4iwv4U3l818fzfbYqVezcGLpikrYyWKGHX9tCK04jFJXZuTmcSomvnD3K+bOngRbhJYs9\nCyE4dfQQGx9exzNTaIDvNJgyQ2Y7xFnulzljhEePEWG2Y0SYA2C38ZRxghokYfteJMxu4+imBpax\nnnvFIGOWttlucaWDSnwPE/129IP+fxhoqoamhgjXYzKfwamVIZsHNITnUtRVdM1Ez9ooAlQRouCT\n1hSOnz6PpqmRelj4AY7vga5heyGBoTN54AhmbZFQOBjoZMcnKK9vUgo1fAwMzUMDlPIGtjGO6YUc\nmi7y+Lkz+NtFo6UdN3l9uq7ztWcuslWts7y6xqGZA0xPTbTZoJMmid1IkMkNy2gBf7QYzXc7RoTZ\nA8M6tAjRniBdUZQojdww2C1hSCmqU5hINzXwXm2S3c4j1a8SMlRmNyqfvXhK9pMgBx3HMKQu78Pq\n+gZvX/2IUFE5UMzvyHIzPZZj4d4SaBa6buE5Ds7ifTRdw8yMoWXzWOk0inAAFVWAburU3QBFBcs0\nUdWWFHjw4EF++IvXwE6jKmCLAEtpZWWyzFYig9LmFnoqTRqdRqihqCaV1QWOThXJGyoiFKxtlXnv\n8jVOHTscPUvSnCBTJMoqIYqicObEMYr5LJlMBt/3o2vfjYZgtDh/jE+LSnaEdowIsweGiSOMJ0iX\ni4VUxe13f73aBUFArVbrGyaylxcjrt5Mnkd6v8bVvbZtR6rIbudLnmu/pMx42Mkg0uFutQnJ3+8t\nLHB1rURgZvAVnYWFDSo/+yW/+fLXo2PG8nkOZzcprVfwg5CsCtm5gwRug7KRg2YVQxGtZOuKQA5f\nCDBrJS6c+zLXr18HWs5Hjx8/zBvXboFpIzwPb7OGMT2BKZrkDYUtV6BoOnoIivBwS1ukxqZpmCmu\nbHhoTpW56SmurTuUqld55sI5Ln90C8cXzE6McfLY4SikxnEcbty5z3sf3cVWBU+cP9smidZqtYhk\n5fuh63pUW1Oqr7tthgbZoDzKRf6LSiifBbvyo8SIMLtg0MW7U4J0wzAol8u7frl2SxayPiW0VGaZ\nTKavGni/iEmGy0j1r4znqtfrPedhr7bKXucd5JiHdY/urW2iGB/XH9EMi/cXV3m50YiIYm19Hcu2\nmLJd1PEpNBEigMAzaKxtomcLCN9F1RXwQlQNCMBWA37jhad23NvxsQJPnz3B7cUlXCuFbZkczhoc\nO3SUqw9WqCyvogQ+hqphNmuomTyKYdFwfEw7japrlMtlxg4UWdiqsvKT19ALs6BbXLs8z9Xb9/hf\n/vC/o1ar8eaHN/DNPKqVJnCrLPzsLb715Sd4+73L3FzYQDNMzhw/zNGZPJMTE9H70S2Lk/QgbjQa\nUfyrDOHxfb9rYokR9gcPc9P6ecKIMHuglyowKUnFE6TLxWG3Kqlh2sk4QWglzh40TGQ3RNEtDtP3\nfcrlcqTylVmCpJS7G6ntYRFprz47oROpxlWO3aTthhuAAaoQaASggGOkWFlbI5/N8eM33sHRDBTV\noIlKuHCX9HgRFcF0yuIf/ca3ePv6Le7euYMaGtjpNLpwSQEnTpxlbmYG13W5fX+eq3cWGC/cZyxt\nMDk+RqlcZaVUQ5g5al6TzXIZU9PIpdMIpZXEoR4GqJqOGnromomCQFMEiNazW274pEyDcGuDxfUy\nnprinteg+X/+Wy6cPUFoZluErSromk4zSPPv/uLv8bQMTW2CZhOW3rnBY4cn+M5LE5Gzm4yPTX6A\ntoQQMp+wJFjXdWk2m9EmIT7X0tNa3pe4BJs89rOCTwNZ7Yfj4+cNI8LsgU4PSzLxQCdHlv123umG\npHRrWRbpdHqo8+zWI1c6hNRqNWq1GtlsdtdZgh6mumu/bZiD2mAzpkYN0Ai3k92opPwmczMzVGg/\nIQAAIABJREFU/OWPfkrDyqEHrVR2dq6Arxk8e3gmyrM6URznu9/8KtevT7O4uEi90UBTrWgcnufx\nx3/1Q1A0AsNkcSsgM/+A6XyGtUaIlsmRNvOETpl7a1ucOjBD1XUpb6wThAphIMB1SKdTaCp4CBQh\n0Laz8riNKmOFWR7Mr2DnJtCEhqpkuVUV1N+9Qm5soqUbDjwQIasrKzRCE9syKG+VqLgqgSfQb91j\nZizNK9/4SuQx3GluZY1XGf8ahiH+dvk0GcIjw3LiqduAKHtTNySJtN/n04RP23i+6BgR5gCQL2ey\nkHM/SW4vzju9kAwTkQH3yVqZ+424BCzVr57nRckH4tl04scPcs6HjUFjaQe9Z0kJOHnu47PTfLCw\nAlZLLRs4DZ45OodlWaxW6iiqgSKbC4GazvDR/Qe49xdpesDbV3nyxGGm8q1nbNyy2jQaf/WDf+Dq\n/VWmUhqNQKDYWdJjae4trWEVJhCidV4ARU9RazQ5Mp7lWqWBaWhoaQ2nXsMJFcygiRN6KPhkxnN4\n9QqzeYvSVgkzmwN8fFrFojPZHLXKFlkhUAgh9EEIvCBAVRQatRqGZpJLmbh2iiAM+eCjB7z89cHn\nNR77KsNxwjCMNmTpdGtOm81mRKqqqkYJOTpJsXut6CEhRCvv6qeVYHeLL6qNdliMCLML4i+D53k7\nEg/0IqfdenUOIuV0ChNxXTdyrtivvnqhUqm0JR8QQvS0lfYbVz8Hj714ye5VtdWr715zODc9RT6X\n5e78IgEhx48e4uKFCwDYho4XtNLYKQSAhuc2Wdqqk52aQ9PB0Wx+eWeVL81m0BICu+d5vHlrGXVs\nBl1rYIUaGw2XRqMqORJFhKiht02aAgVwPJ9sNk3DcQjCkEAzaGyu4WtgWTam4lEwczxz6QyqAv/h\nb36GMA1UBSw8FOEzPVkkXQhxa2WEmUPZnhvdb5CbmGVldQNTFYShj/BB1UBP59jY2GB2dnZP96Lb\n/AdBwA/+4TVWNpqEAsZyOt/8yiXGxgptx3dSBXf7dCNYaWeNo5M6uBvpDuNI+GnAiEDbMSLMHkiW\nm3oYick7oROB9AoT2UtKuUFfTKkik7/LuZDj2u0L/rBeyEEWqN2orgdV8QohyGUyXDx3BtM021T2\nT58+xo/fuwLK9iZDgLexSmH6YNs5VDvL8uYGBybG275fWdskVZyl6gYogKaAYadxGptM5Q2cwMdz\nHJbL6+QNUIXHs6ee5sHiCtVGE1QNXQFf1TEyRVRni9m5Q6iBSxh4TE9N0mw2+ce/9iL/8W9/gUgV\nMAyN8fFpfNfh8ZMHsdQD3Lk/TyNwSac1vvFbL/ODX77PvOcSqBrgE5ZWyB4+QCGbww+611js5QE7\nyDE/+flbVNw06VxLw+EDP/jxW/zub32z7fhhJMK4d7WUKqWtVBYGiOcaHhSDqoU/qbCS5FhHaMeI\nMLugWq1GO0lVVYdOIQf7I2EmnYt6kfbDkDCTUi1ANpuNKhrsp2PRJ7k4JMcwqAp3mD7kd2dPnmBz\nfZ07C0uEQjBuaMwdnGPFV7ftiAGqCAkUDToMVRAyls/irKyhKyGhUAGBIjyeOHuBK9dvstj0wMyg\nGiG2mePNqzeZydo0yiV00yLQTFB0ROChCkCEhKFgZWuTH/70dVK2zsXHTvPrX3uaD2/cp9z0UZpl\nnj47wZeeusjly5c5d/ok6XQax3EoFosULBUzaNDwPFQhmJk5iEDB0lok3A/dnMr6HbO4WiWdT7d9\nV22qrK+v96yOMshYkv1pmtYxRGo/pNdOkF7DUk29H9JrL4xIsjdGhNkFsixUPF/oMNjrYhuGIc1m\nsy1LTrcwkf1e2CXiTkWKoqBpWlSpY5jzDEJQyeOlijm+ICS9UgdBLztjv+87nafbZmhYiWBuZhpd\nVXiwuEK56SA8n3rDJTP+cXKDsFlneqawo22xkOfOUpnZqSJGdQWhQEoEnDl8YNspxmBsLEVasTGF\nC4SsrFYoVzysdI5QgHAa+J6HpqdJp2zK62tsbW2Qyo7zxs0NioU0d+d/ybe/eomXX3waIQTpdJpj\nx461JeaI/6w5guMnTrG0tIRHy1HHbTY4dejYQPNy6859Ln/0GtWGSz6tcvbEHB/duk8QwMHZIrlc\npmd7z6khRIhp53oetxv0u797kV47feIe5nHnpl74LDs3fVYwIswukFJcpVLZ9Tl2K2GGYUipVBrY\nuWg3/fU6V9KpSEq10sli0PMMg/jCIGPvOh0jU/r123HHzyfbDjqOOHotLntRYwkhuHLrAb5p4ZJC\nGBqiuYWztYJpZ1AUh2ePHWS2mGdtba2tbTqd5vlTed786AG6rqCEIcemxzk825Km3DAETUFTQAkD\ngjCk6UM2ZxP6LrqqYegaYa0KqSxebZVqaKCnx9ENk9A32arUMYoFPrh6ky8/czGq6hIf/w7pT1XQ\nFZ2DB2YJgxChmiACJgeQ8paWV/jZG7dI5WbQLFgplXj1T3/EE09cIp3JcfX2DY5MG3zja8/vaDs3\nlWWr2X4vsnbv2pufJAaRCGVcqnSkexjSa/x9iZuf5Hs1SlqwEyPC7IJeWUgGQdwOMSik2lU+vP2c\ni/YDSVJxHCdKaadpGplMpm/u127fDTNuWVBbQhaKlguBJO+4/ajXjlt68UrytW07yjwjs87IcIT4\ngtMNSUl1kOvtRNwS80sruIqOuh3G4TVb1z6Wy/DEyaMcPXqUiYmJKJNPEsVCgZy6gFevk0mleOrc\nKba2NgFIWQaeJ1rZgQDPdUAzsC0LjACn4YOigBDU1h6QNk0838OwM2iqgq6EKIpOtd6kau9cIpIS\nksTsRJYH6w1UaBXQNtIY3iZTk72JSwjBtRsPsFIfS9PLK5vYhTnmF+Y5ffocKTvD3fk1KpUKqVSq\nrf3Xv/oMf/+TN1jY3CIUgrQV8s2vP92zz88ShpUI96IejieWGKTKzBcNoxnpgb0Q1TCEmZToFEWh\nUCgMvMPbC7FLJNWv3XLPduu7F/qNq9lsUiqVouvVNC0KJYiPD2hbLHstBLLcVtyTUpKsrCLTbDZx\nHCea9zAMo0Wi2WxGDlWSdH3fjxw9Os1DJ+k0uSH58Op13r16i9XledRUAVUEVFbX8FQLVTeZX9nk\nQHGckye7v5q1Wo2fXVlGtXNkUwF1DP78H17jxcePYZomRw/McOXWPbxQAUWgioC0FqCpKmqoYaQ0\nmo6LBhw5dpba1iq+EwABKmAoOqGiIMKQtNV7iYhf3zNPnqfxyzdY26wRqCpFW+XShceYX1jm2s15\n6k7IVDHPt7/xbBRvGt1fv3WvReARhh6e56JqFkHgEwYeQoBp57hzZ57p6em2vk3T5Ne//RUWFxcJ\ngoBDhw71HPNnAXt5l3ejHq7VaiiKElUyku/QCO0YzUgP7JWI+rVLOtRomhYR1sNWh8SvrVqtDuQJ\n3Osl3M0cua5LpVLBcRzy+TzZbLat2kU/9FoYZKFmWWJLhr+4rhuV2ZIEKYPik+3lT3kuaVP2PC8i\nc7nIyPRtkpilJBzHq2+9w0+vrmKkM9hGgaBeRxU+RroAaAjAMIvcmF/liccbFAo77ZcAy+tbKKnJ\nKCsPQGhNML+8yvHDB7EskyfPnaRab7K+scHkwSMsb5RYr7mogAL4fkgmkwYhMAwVEx2/WUEYWQQK\noe+TNUMunL2wY867bRgUReHxsydxXRfDMJidneXevfu89t48ZnoMVI3lis0f/fsf8C//+W9HjmNh\nGFLaWuPG/CqaYTBesNF1FadZZ3Y2R+A3UTUTt1ljdu5Mt8dh4Nqbu8Gj9lqVeNj9xc+vKEpbYomR\nSnYnRoQ5AHarkpVtkw+9EN3DREql0p76GhTyWOnA0U392qttvO9e40pCZgjyPA8hBJZlUSgUhnas\nGgRJe5Es9mwYBkEQRIu2JFBpO5XB8TLTjGwjbXlx4pBEKaXXMAx3hPoEQcBbV+6hpKYJwxDVtBFe\nlcBrpdATIkQlxDJsUHQuX7vRFrcohGCzVMYNfEqlJg07Q9bSgQCv4SIsnUajVXtVmhOOHDqArrZU\naxcfO83t23dZL5VQADWj4JElJCSdSlOqbaAqKm69jO9scezQNK987UUMY7AlopPNWFVVbt5dQo+c\ncLafB2uS1954l6+++BwAf/HXP8IXRfDuUW2YuI6PJsqkTY3x4nEQIYHvU8wrA3nbjjAcuq0bI8eg\nnRgRZhc8LE+yQcJE9qKOGQSSrCXS6fRA6tfdIm7zittIdV0nm822Ofjsp4v8XiDvv0zFJsMJJIHK\ndG2WZUUp23zfxzCMSBUsU7ipqorrutQCAIFOgEqImSlQd9dAhbSmYmo6ARCKEFVVaDabkY31zvwC\nrq+hqRCgsbpVoeaXmc3r1D2N+3dv0hxTKFUdJscznDx6aMf1zM3NYNvm9n1wubdWASVFs+Fg2AVw\nK+TTadKFDCeOTJPNZqIUkJ3QSwKR1+7723mVw5bKF9VA03Sq9dZ5t7ZK3J2vY6dSnD59jlq1QqWy\nQSGX5+WvP82tO4s4jk+1UqbqmPy7P/k+szMFvvXNL+3oc1gP6hHaMZq7/hgR5gDYi4Qp0SlMpFMx\n5bjH2m776oakrRRa9h/pYLObfgaVbn3fp1arRSpnmaC9VCp19IjdLwxy7+LSUb/ju81B8iNJFFqq\nQsuyyNsqVVVFEwIVAQIMXUXRQNV1oHXfDb/J2VMnIqeMWq1GwwFNax1ipbM07t1GyY6j6CYEglRh\nEt0OaLiClZKHvbDYVaULkMmkOayo3F1cxXWaCF8hl01h2BZgc+v+KhcvPDb0Ipqcv0I2RXUzRFGg\nlQtQsHD3BmHF4tatNcKgRqNhYqdShIFDOpMinTlIs7bO7Mw0Bw/M8fY7l9na0tB1FU2zWVnX+N5/\n/hH/+Le/2XEMnweMyP/TiZGSugf2w5lGemaWSiWazSaqqpLNZsnlcvtub+k2TmkrLZVKuK4bqV9h\nd7vKQecj7nBTLpcjFWihUIgk2k5zPKhTzSB9dzpn0h417BzsxgNaVVW+fO4EQW0r0kyGnsORA1Mc\nLaYxgzqq22RM83jy7PHIQ1rXdRzXQ9UNlG0DpKJANjeGnc6gbEuwum6iajqu56CqGuvleuSoFFe/\nO45DGIaEYcjEeIFjs9PkCwWKk1PYtgW0JELH8XdcY6971Ww2eePN93nrnatcuXor2hief+wkKa2K\n57b+Xnpwi0bVQU8dJtSKhNoBrn90A89zWzbZbbvsWMGO+rx7bw3DsNrGUapqLC0tD3UP9oJPyob5\nKNDt2j6P17pXjCTMPtjtQyPbVavVtlqZ/cJEetk+dzPGpPerVL9KKXavsZvdNhXSTit/V1WVTCYz\nVEHt/cYgHr/J+R/m/svju6kqn7p4nsOH5njtrffxPUFxZpJsOk0mk+H0CT1KHB73llYUhUI+x9rW\nCpgaqtLa5bYcNHR0zcMUCoYm0DXRYlO1FawipdwwDPnV6+9SqvvoaoilwezsBJVqFcfx8ZtNlJQZ\njTMkpJDSopqU8SohruvieV5ks9U0Dc/z+JsfvIbQCoShgRAhv3rrCtPTM2iaxm/+Vy9x+859NjZL\n5IwCjWA66kvVNI4ePcWDux9x9NgpRBjiu1t85aWL0TG+H2BaCkHgggDNyKBpFqVSmVKpypUrC1Sr\nTWxb8OTFk0xOjuycIzwcjAizC5JB2sMg7jwipSpZK3OYfodFfJxJ9eswYximn05I2mllmMwgXraf\n1l1tpw1Bv2OS3wshOHLoILZpsLCwQLPZHEj9rus64wWbrVITTBCBoJhW0VQXXdW3pTIF4QeYlokI\nPKYmcpGD0u27C5TcNIYVouPiBz7Xrt8nlSsiFAPfD2isrjA+Nd7aKHhlLjxxPup/aWmFuw+WURWN\nF573mZwYjzI+CSH48MoNXPJoYQjyWsnyxlsf8tSTZwmCgANz08zNTvHL16/TaIAIfVrZ2Q2mpicp\nHFXJZ3VM0+KJC0+SSqUi++34WJpqfTtkSNne6IVl0ulDfP9vPyCfn8Yys3hujZ///BqHDh+kWBzv\nNJWfGchN5gifLowIsw+GUb8lw0Sg5VAzqI0wea7dSJjSsUaWIZMVTZKS3X4RU1wiS16/ruvRwtqt\nv07f76fT0yAS+6D9lUollpaW+qqP433v17XMTk1iG1tUq1XyGY0/+N3f5/0Pr3H5ylV0PMLyJtq4\njW2kmBq3mJudidpWGg6KmkKhZUNsNhsoRpowBMVQsdNZoEHOFJiGyZMXn8C2bSzL4vpHt/ng+hqm\nnUWg8iffe4tvPH+YbMaIsk81my4qaYRwWiW/AAFU6o2oCLRUDY+P2axsNlBVAcJHURWcZo1nLxxi\ncqIYpaGMx7s++8xj/Pgn7+L7YjvcZI2vv3Seq1fuYafG2ubJsgq8/fZVXn75hX2Z9y8CPu2b1U8T\nRoTZB4Mueq7rtoWJSK/JYe2Ue3lo47bCuPp1v+In+6l+k32bpsnW1tZD9/rthV6S4CBkrSgKQRDw\nf//Jf+KNO1UUVefspMJXnznPscOdA+R7kfNevK9N0ySVSjE5OYlpmpw+eZRaZRPbtjl27Bg3b94k\nlUrtCM9Rto2mLTJrJVlXtNa3kuD0VB7LEBQKucjLVwjB9ZuLWPZYqwY2CqnsJK+/c5NXvvZ4pKYt\nFnOslX00VSMMHRQUVFSKhWzkUSwdmL764jMsrfyQtQ2BaZk0auucPl5gZnoqsnvKsBwZJ6vrGv/1\nb7zIBx9cJhTw/JefxbIsPvzgFmASBB6h8BAiQFWNyDN3P/EoSeWTfF/iGBHoTowIcwD0eoC7hYnI\nvKsPK+lBp2PlGAZRv+6n6lfWCpUJAYYpgZa0ge6XVNbL3trp+14k97PX3ub6lonIH8JUAyqKyw9e\nfY9/dmCuq4PSIP3uFyQJJ/O9SmTTJpuNeOwsgEA3QGwTZui7WNvFruU5arUarq9hGQotD97t7xut\nDaLUnJw+eZx782/heBYKrbAYTWnyzFNfjkJt5DxlMhn+xf/0T7h85Sr37i3wxIVnKRbHWV9fJwiC\ntrCcpE15amqCdDqNoii4rsvhwxOsrKyh6ypimzA9r8Hc3Nm2Kh+9Pp9mPKrxfVoI+rOAEWF2QdKD\nMrmgCiFoNBpdw0R262E7zEsSV7/KttlsdijHmr0QupSqPc/DMAzy+XzHMJn9wG6cofar/6WNCoo6\nDmFLpQnQUHNcvnqNZ5661NZPL/Idxu65nzh57BA3b89TrbughtiGglDU7bLSgBCkrCCKiY2Tm6Fv\nZzTCjyqNpW12ZIT5vd9+hddff4vllSa2bXD2zLkoA1Iccl4OHzrIRHGc8fGWrVEmlJAJImSlIKme\nlSriVCpFKpUiDEPOnz/D0tIG9++V0TQT161w5Og4J04c6VvZQ45l0M8XAV+U69wLRoTZB53CEyRR\nSMN8p2oie334holrlJCLzcNCPEykUqlEi6Ft21EIRCcMGgs5zPGDYhCS6qduU5SW+jKlhaTVABAg\nBKqi9bzP/eyb+4le51NVleeeeYKNjQ02NzdJpVKUy1XKlQZu6JG2dM6dPbMjLaGmaZw8OsX1OyVM\nU0cATmOLrz5zfAeRqKrK6dMnyOXSbTGo/cbWTaMQ34Akf5fnd12XV155kVKpzJ0795iYOMP09HTP\nCh/SNhr/exg4jtOzSs7niWA/L9exnxgRZg8kJcogCNpIapAwkf2WMKUKVGZgkYkHyuXyrvrZjepX\net4ahkE6ncb3/V2/XA/rpey00RlEVdppPg5NFZh/4CH4mASyVHns3FcHaj8IZLWWTsWJd4NO45A1\nXgHGxwtMT0+iKEqUc1ciPi+Pnz/N2PgSt+8soKkhL33nGQ4cmOHatWs7zt8tMX2/OYknjki26RYL\nGkehkOfEiaPRBi6pHeqHTsSa/Mh3Xsaw9kMnEu1EtJ3G+aidcEZOP4NjRJh9ELfnxG2EnZwrOrXb\nLTotIN28Xx+FWs/zvKgWJUA2m43ysHYar8SgNslOL+2w6tfdotcYFUXhhWcv4Xhv8fbtRUIViuMW\nX3vp2Yh8Oi34g0IIwZUrH7G02UAIDVO/xdkTcxw8eHDX5+v0ez8k5z3++5FDBymOFUin05w/f5at\nra2ozcLCIvfvr2IYJum0SqPR4MCB2bZzyvntZ9fud697he3s5R0YRCqUPgmpVCq6nn6fQaXXbtKp\nDE+Le5k/ShIdEehOjAizB+I7SxnA3SlEo985hkGnhzSpfu0m2T4Me2m3dHpxsuxHirtRTTqO01a5\nJSlxPGzJND5mVVX5/d/6Dv9zNsva2hq1Wg1d13uOZdDEEA8WllguCRQti6YI3FDhyo15zp07w9jY\nWM+2SfQi/b2077Z4vvvuZW7dKiOExp3bN0in00xOpbh7d4Pz548wMzOzo82gY9mt1PWwF3n5PA4C\nOeakGnhQcpXpNJP977fttdvcjghzJ0aE2QVhGLK1tRU9yLZtR7vLQbAblWcc8iVKql87eb/u5cHu\ntUgmJVrbtqO6eYOeZ7fjSS4UEjJxez+V116lDon4tcqcsHFJe1B0G0u17qOoJq1/t4I3hJbh/Q+u\nMTc3t6fx7rZNL1sufJzF6ebNNQyjwOLifSxrBtMIcRwP28xx9ep9nnzyQsfzyHP0giTpYe3fnybI\n+RqkCk98Q+j7Pq7rRkn/90ty7fbZ60bri4QRYXaBqqoYhhHVOUw69fTDXm16UgUqVVmDpJXbLwmz\nU6L0eDq9Qc/T73/x/wsh2qRo0zQjyVIu0HG1Xr+Fw3VdGo1GlMZNVhtxHAdd19vSu0kJYDcL9F4X\nazk7qirQFUEQivZ/9IHrumxulihX6mTSe7N/ep7H0tIad+9uYNsmly6dZXy8c4amra0yYdjSMogw\nbCWGRxAGAQKBQpqbN29z+HBv1fIgcx7fACVVx/Hn4WE63DwqzYaiKBHByme223h6Sau7cWqSxdTl\nnMaLtY/QwogweyCbzVKv19sy9wyLYRdU+YBLqXIQxyLY/YucXPzjoTLdJNrdOnZ0G6PneWxtbbUt\nDul0Gs/zojbSnmPbdtsiKX92UnvJwHpJivFi0I7j4Pt+lC9VBstLwnYcJ8qTKtsOs/j0271L5DIm\n1Y0AJSaFqGGNJ594vm8f7713hfsPNhEY3Fuokk4tc+bkAcbGCm3zE/+905ik6eH27UUQBp5n02wq\n/N333+FbLz/OzMzMjjb5fBZFcYEUuqEQBgLdEJhmy6PYD31yuVxbH70wqM1sJPW0MKzKtddHpiBM\nkuxorndiRJg90M0RYti2gyCpftU0jVwuN1Q+yd2MUbaJZyrqJtH2U9UNizAMqVar1Ot1crkcqVQK\nz/Pwfb8ttlSqqWSb5G4/7v0ZH5NlWVFsn5SSpSeqZVnbVT70KN4v6XAhSVoSq6z2IUlUjkNV1bbK\nIMMQ64G5aUJWWFuvEShgaQZnTx5usxF3guu6vPXuPfI5FREqKKoGisnde0uMjfXO2xufI4m7dxcI\nQwM5jUKAphe4fPlOR1ukaZocO1bk3r06tm1RKbsIAaZpIIBMJmBuboZ79+6ztrbO7OxM18QKnfBF\ndjrZb2m2H7nKZ1omHJHP8CiX7U6MCLMP9tvbtdP/43GdkiDkgv6wxymEoFKpRB7Ag9hqhyHmbvZO\naR/1fT/aHNi23SbhdYLrugM5Osids6IobTtoGcMnVeySmGQOUyldS6lekq5hGOi6HqnL4mrCIAgi\n1X1cxSuJVdqiXNeNJNs4qZ49dZzTJ1obpvHx8YEI9/btu/ihBXigiO08sdBodG/by64r5xUEihKA\nUBFouO7O4t7yHM8++wRjY7eZn1dYWdnYnleFVMrj/PnTfO/Pvk+tqhD4Jlb6A77ytSc4cuRI2zm6\nSeHxvuJOX/3s5w9bJft5x7AOQ180jAizD3brvDNIOxl7J6UnucOTtsthMUybuCQk4/AymcxADgpJ\nxK+124sm/ydjWeU1y1RnitIqnC0JSjo+SMjNw6DSm+/70SZA/i7PK8ktrmqNx9nJa5LkKj+maUa5\nUWU4j2EYEelKiVWOtROBd1LvxuNY4+ph13V3qMvkPS5OjINwABVFEShq63vDaA/l6HSfkvcFYGIi\nz/r6EpqmIgs9Ewry+Z12rPh5jx8/wvT0BMVikY2NDVZXV8nlclz+4BZuPYdphAjVQAlNfv6TD3jx\nK8933Qj2W6QHeb4eNj6PRNJtM/J5vNa9YkSYPfCwVLJJ9atMACBtZrsd66BjlE498vhBkrTLPnYL\naR+VqlbDMMhkMjiOE0nXEp7nteXmTY6tm3ND/Gcnu6WU8lS1FS8YBEEk8QFtRCalwLjE2MmZQkpA\n0ptR/g5E6l7TNNF1PUrvJvOlxsufJXf2nfqWCIKAbCbD9KSO532c6Un4PpMz2R0hLcmfne7j1NQU\n8/PL1Os+YBEGAYZZ59KlF7vez/jP5O/lrSaq0spN67gNSpVlfN/n8uVrXLz4eMdzJs+7Gy3Ho1rk\nV5ZXefvVD6hXXfLFNF966VKbzXYveNgORiPsHiPC7IP9VMkm1a8yrV4ne9XDkDCTRB1X/w5znd0k\nl06LnPy7UqlElVykfVQSgfy4rkuz2YxUp92SQ0hi6aWylhKaruu4rhuVWavVapGkGD+HHFu8PRAV\nTG42mzSbzahUlYS0X8bJTZ5Pzom8vjihxoPRZZYdmU9VVdUokb3Mqxofm7z+V771Aj/96c9pNn3S\nVsBkMc3c3HQklUppWtoOkzZWGRQv/z58eI5SqYzvK4yN5XjqqYtt4T2DPCPyGVA1BUIoV1ZYX61i\namO4rs8f/19/w7/8X3MUCvkd7Trd4+R9SWKYjeJ+YW11nb/9s59jKTlAZ23T4c/v/h3/zb/47ida\nIH23GEmYg2NEmANirxJmJ/VrJ+/X3T6k/XbjcaKWCRiazeauJdpBkHTWkcmz5SIXXwylxAct+6Fp\nmvvywkpSlHZLqUKNe+FKwrAsCyEEmUwmIjhp25QkF5cwpYpZOioFQRARbBiGGIYRSYpAVhwoAAAg\nAElEQVTSW1ceG5/3+DwkvRTj4QbxjYKcy5mZKVRV5dChQ6ysrETOS3FJN3lP4s9ynFyDIMC2LWZm\nZkilUtE44/9P2l+T45SYniswf9OlUqmTMsYIQwXL1sinDvIX/+HH/ME//27UNnmuTog7WPW6148C\n77x2eZssP+5Xc7O8++aHPPv8pUcyhoeNEVl2xogw+2C3NkyJMAyp1Wod1a+9sNv+klJe0mYYJ2op\nPezVpb/THMW9bqFV+UISUlwScxyHWq1GJpMhnU4PVRpskLF2mkfpdFSv1wmCILLfyrjbeF5Vy7Ki\nfL2ZTAbP86jX69H9k+Slqmqk9k2mzEsSTrKCR5xQJYFJck2SU1yCTXrqyuuWhCltqnFJVn4vP7Kv\nTqFDndTacUlbeldKaV5uQIQQnD9/iq2tt9jYMBD4mCmdfL4AASzNl3f01e9e9jqmlzPTfiH+jjSr\nDqAQioAQH42Wir1Wru9bX/Bo0+CNMBhGhNkD++EtJhebXurXZJ+7QbKdEIJms9lmM0wS9V48a7sh\nmUpP07QocUBSZSnVw4qiYNt25AD0sCAX3kajERGETMgwiMNJfCGTHym5ygVV2iulqlvWg0xukOKh\nMHGPW0lUcXKN206BNq/ceJuk+j9JJHHylaQqNQ5xiVRK4bZtRyE3MuGDVBHHxx8nV/m37/u8+MLT\n/M3ar9DVLIoqEGFI6IaYthoFycelc9lWzkenZ3qQe/ywMT6Tp7pcQighoQhQFR3PazJ35OhD7/th\nYiRV9seIMAfEMLswqX6VGDT5wG77S7aTTj1Jm2E/ddcg6HQOucBJyUMuwtKpR0q5cpGWhABEzjDD\nxOgNg7gTzcryPRbuv42mmRw78SK5XC5auOPoJnEnHY/iUmw3KSfu/SrnxbbtiGQlCUkboyQkSVjx\neXE9By9wqTWrOwgznrkI2m2rcRKKO9V0cg6KV+OQ7eR9k6kBpSezbdtRm1QqFW0U5EZiYnKCsUmT\n8nqIrrQCX5pujS+9eCzaDEhJNW5Xl+FA8U2W7Cd+jZ8UvvSVp3hw+7/gboGqKbheg8ljGU6fPfmJ\njms/MSLPzhgRZh8Mo5KV0kvSUWKYFFN7lTDjVVWknWu3bvzdkJwLqXaWTivS61YShFwEOyEIAhqN\nRptUIZ1c4rlh498NMvYkuTUaDWrlD5iZgmxGpVGfJ18437VNr+8GPV5uXuKE06kUW5Kg4+rUuIOQ\nIEDXVPSUSsOrR1mP5LmTyRfiY4qrwuVGKu5w1UlijYfbJEmrk1Qbh9wIPP/iU1z98Cbra2VUVeWr\nLz/B17/xAhsbGyhKK85VqsXj6uUkQUqVsEx5KBEEAfV6nWaziWEYuK7bM1Z3t4jfI8Mw+L0//E3e\nefM91lY2OH7qKKfOnNg3kvkkVLIjghwMI8Lsg0E9Azt5v8alzGExjNQnFy/4uKpKJpPpWtB5vyCl\nykqlEuXbzefzbQueruvkcrkorysQZd+RL6q0rcUX8X7oR6xygZe2ylQqhaLaHD6YIQgETsnueD2d\n+tkNpAOQJKdeBbYHhaIooGogIGWlCP2PNxhx+2TcaUgSl1QVJ9WpndSenVTCkqzq9XoUihP3Do6r\nVeV55Pmf/fKTkZ36/PnzHR2xpHepVGvL90g+V57ntR0bJ3P4OAwnGb/baQ6Tz8yg5Jrc1Jw+d5KD\nR+YoFoufO8L5vF3PfmFEmD2QlBY6oZdTTTK+cJg+B20n1b9xD9NhqqoM01d8fMkE7alUikwm0ybN\nKEqrOLGseKKqaqS6k5AqykwmE8WxxaWZ+M/kd71Uc1LqlX0pikJh/EluP7iNqqaYmTscOdXEbav9\n5qjTM9FJqpQLvVSv7gcsI03g1UhpaXKZPKVSqa3f+JzIRAsScZKQf8c3LVLNqihKm+pVhp7Ew2Fk\nf0lJNL7RkQ5CcVWxJDT5/3hmpKTUK/uQqlkphcqxSVu5ruuRR69UE9drdd554wMK4zkuPnVhh414\nN5syOR7p2CS1JiOHmS8WRoTZB90ILKl+7eZUM0xe0WGQ7F9KFsOEY+xmFykXHalWlGEX0iM2bg+L\nS5WdEhAkzxsfV1z92mssQBuJSmkn6eAShiG6YTI+cRYgives1+uR44lMNFCtViP1poy77KSeTF6L\nlCrlcf2Kew/ybNQaNUr1EqqiYigGhmFiGi1nnOXl5bZYU0nSUoLfLSRJSBW7JF/btsnlcm35eJMp\nDOMSbNx+LIlRSn/x+Fbp/CXvt0wCIW2YkjDj91kSb1w1rGkar/74dd784UdktDHc4AGv/vBd/tm/\n+j0K2wnpZZtBPslNmdRYSMj3T8b29pNYB1ULP2oSlpvZOEYSZmeMCHNIyF1mvPSWLCq9Hw/ZIBJm\nMlG6jCnsln+1HwZ9QaXjCtCWoL1UKrVJanIhjM/PblLu9YOcK3nuOGFJqUlKH3Kxj0upkmDkoiyJ\nNU64kjCbzSb1ep1arUaz2UTTtEj6kl6kccceuTh2IsUgCFjamCdQA0QDZu0DXa9xs7GFYqkth5la\nExWVjY0t/s2//iMaVYXZwxpWSmd8fHxHGIkQgmq9jlChSLFt3ga1za5urJFOZ+i0dYl78MosRtKW\nKOfesixs247uQTqdjjYqQFtiBklIlz+8xvh4gWPHj0ZzHCfYpKlDSvQbGxu8+aPrZLRxAEzNRGwa\n/H//6e/5/T/8R23EMEwRaOnRHVcXy/sspe5BN8aDEOqjtmGOMDhGhNkH8cUnqX7tp/6Mtx3m4e92\nrFQzdkqUHt9x77WfTv3GQ0UACoXWjj2ulpILYXx++km8w6qgO0HakKW0ret6tHjH+4lLMLKdlHql\njc/3ffL5fER2juO0SW1xtWQyjV58vuTGQYYUSYcUx3FYXF3k7r1F6mUPXddwG4KjRw/tuCYAVVHQ\nDB1EiKC1Kbl3ewGnXMCyA1QlxKnDB+9f5eix9tqTt1fnqaseTa9KtrzVNt/9oCgK7929SVnxCbcq\nHNIyjI+3iGhtY53r8/dIp1IcGJvAsqxIKuxkE5WQNkv4uN5pOp0mDEOazSbvvvUhb/7oMqqbwRO3\nKMy9x+/8wW9gmma0OUxCqnk9z+PKB9exRIYg9Lfz4SogFJburkcpEZNJIZKbh6SmA2gj2Xgmn3ii\ni06FnjtJrPLnIKjX631trYM6wXXDiJyHw4gweyD+EAVBENmMBk0+sJeHMP7ixp1XgMgTdb+cerqR\nVdKZSS4K8oWXC4C0VVYqlUhF2y2t3X5DetlKqTIesjHINXb6n1yI4t6nhmGQSqVwXTda7OMqu6Rn\nq1zg5VzFF/af/OBNmnUbsLFtuHFtjSAImJ6eiNLXSXItpoosrS+joaOZGhvrm4jABgRChIQCQmB1\nqcax4+3Pm0eAZhhotkHdc9B6zEFcspGohR5GriURVjZaYUGNRoPXb9+gaep4toFZKjFTLEbzWC6V\nufLOR9QqAbZtcuaJI5w7n+/UZRuq1Sqv//BDbKUAmoIIoL4IP/7+q/yT//67bdoN+fzLPpvNJkEQ\nMDkzwUdiDVNNIXQPQhV8BTOlDRSOknQIkkg6F8W/l6riQc0IEr2INZ5jeL8k16T9epDzjbATI8Ls\nAblwSexW/boXCbOTc00nW+BuJLVeY5Lu+vLllc5M0na5tbUVvYzVahXHcSKykrvwQXavu5Uwk1Kl\nDNkYxhbTbQHpRKASt+c/Yn7tDngqR2fORE5LUi0oCVM6zwCRBJZKpVhbW2dtOSCXU5G9KFgsLWwy\nPT3RZjuTHs9ZKwO0QoYEEG431E1QVQgD8AJ3h/PSuJFjsbaCKmBirsDW5lbXBbjTBmM6lWXRaaJ6\nPmPpLI1GoxVnq6hY+SxaOk3glKP5aTQafPThPcJGCkKD2pbK25WPGCvmyWQyXe+DEIIr73+ERQEQ\nlGtVmgJCXxDeqEW1SKXqN57gQtpaNU3j3LkzvD93HX9VbRXkVlWcsMFXXnmOfD7f1Xks6QzUbY7k\nOwFEauJ4HVQ5nl6Sa1xq7aVJCoIgus5e0mryu0HQaYzSFJFUC4/QjhFh9oDrulSr1ejvQmGwwrwS\ne9mlJVPqyfyn+5E2rhc6SbNxlZN09Oj0gsrdcTI/bXyHm/yZzGIzCJJSZSqVeuhJr4Voeb+u+w+w\nChoKsF5a48iBo5E9M4lytcJydQVdMzg+fQRFUbh3dx5oxeXqOijbt9N1P/YClcQgPYqlMxJAKmWh\n/f/tvXeUHOWV9/+pzrl78oxGOaIcEVhIQggZk2yDsbExeBcHeNldE2y87673t5j9HXbXYdfvOv2w\nvd51eG0TnBfb5CCJKCShAMrSjOLk2DlV1e+P4SnVtLqnu0cTJPF8zuGgI810VVd47nPv/d57Hb2A\n791rAWpWxV/hNLxY4dkG/X7IVA4svCh09fXSF4tgTVip8QcH1T7mu/6zG6cw493PbG9vR9cHxpmt\nmDqdt5uP4FEy1FVVGz/ffOgEiuYE02Nv1V3sfeswK1YvGvL6enwusloau9WOZtewZAcGUScyUWPT\nKtoU5nuvxEJ/21038fyfNtN6ohO328W6tZeydMXAsUuJeJi9PLEZEwY511iZlb9Dea/5wqrmczb/\nXW4EJ5/HO9S5m79DIcNa6N01pzDcbrfhxUtOIw3mEAhloLmebjiUYwzMPyuUg0JcMxQjEf7N9WZF\nKz+xOIgFU4TmBKL43O12Gz+fr0NLPsTGQAySzg0h5TYsyGazg/ry5vMq8323QhS7br39vZzoOE5N\ntga/34+WVHBV2ElFM4QCFUP+fmeiG6vPgcVpo62/g7raOpYtX8QLz+4EgigWsCiAAl6f84zzMudL\nxSgyXdeZNXsKarqFeDQOig1vwMZll11KV1fXoB63ZjFNMpmkLxFFsdvQbVbCybjRqccslhI1l0J5\na86Pi+tdU1HJYk0nEAjQ2tp6ugY4m0VRAEVHsapEU0lsFsh2xc+41rn3Ze78Obz1yj6I2bErVhIp\njWg0wqIrptHb18/Ow83o2Qz+YNDIn+fD4/Fw4y3X0d3djcfjIRAoHg7ORYTDAeOZzoeoDfX5fAWN\nVLl5S4G47mbjms9wiuOY86zlGFdVVUkmk0Y6QXzeWKRTzkekwRwCYTTyTWgo9fehdIMpQj6nvYnR\nbalnPj/RLQVOe7NmD1AgwnKAkdcTZQFCbFPovPItKqKcw7y4F6uxFOcu1IuFOgLl5oELUejf0uk0\nb7W8Qcajcrivm5C/gnmNyznYvI+Qp5ZQIJQ3fCu+h1VXsLrtYAVbcmAB8vl8LF0xhf17TgFedHQ0\nS4Sqhrq85yW8mI7+XqKZOKR1nF43f3X3J2hububUqVPGGLBEMkE4EUMDQj4/VY4q7HY74USclmyc\naCaDR1GwKzbcdqfhiZo3JOb7IwyneE5EnjoWi5FIJLDb7aRSKSOcV1UTore9BbCRVbOoFgVFU9EC\nVuPa5F4rcUxFUfjwrRvY9PQbqJ0qiivL6uvms2rNxby+9xBZbxA1mWT3oSYmTzxTIJXvHpa7iRTi\nNnPv56EMh7jXpWgJ8j37ZsOaW8dqzmUOdexi/+U7h3zGNbdud7SbnpyvyKsyBPkeuNEIyQoPQHht\nYsEtx1iejYdpbiwgvEpzmYjY7SYSCUPMYm5AUKqIIN/PCa/F6XTmbVwgFm7h5ZgNUjGjKtr1iZ8V\nuV+zUTUvWrnnl0gk0JwqsXiEuB6nvbedtJYmEkjQF4+i9FqoDJ7u8pL7/4mVjfTG+4glEvRnUxw6\n1sTyhUu4bPVKamoP8c7+AyguhcYpU7Glzmw3aB55llSTqHYFi6LTHg8bxkxw8NQxOhJhIqhUunzE\nwr1MqKsnkUjQm4zhqA4RymTJ9vRR7Q/hdg72zIVYS3i24nsIL1eEi80GVGxsxOJeVV1BR00nnafi\nWLETjYfxT3Pir6hk/9GjTM1kmDx5IDRtHhsm7kEoFGL9dZeRSqWoq6ujoqKC/v5+7BYLdrcPXdOx\nFzBg5ms/nPybaACi67ohKir2XJezHpiff7MRFrl4s1bAPCu2WM611GObjaSIIInvLc7D3DBCepj5\nkQazBM7GGMHQ3o0YF2UOgwrV30gfy4womRC/43Q6jZyFufMKMEj8I8LU+a7JcBaqofJRYjEplKsU\nx8tdTMT/hUExi2hyMbd6E6H3WCxmLDCZVoXWRBdOu4eT9jbsVgVfjQ/Vo9Lb0UtlsPKMzxRYrVa8\nDi9HU91E7CkOdnaQ3q8xu2YKTpeDiRNriWRTaFkNn81lfCcRfhUejtVqxaIqqBYVdFA09Yya26iq\ngsWK7rQTR8OnKOw71kR/Ok08lcDtULBpOgGXD4/LfcZi39rVRVdfHy67zWgCL8qCRLjc6XTi9XpR\nVZWTnZ3MfDcCoqqq8bMzZ09j+gyNrs5uVlw5h754jK6sRp9uYXvTcRbOm4fdbjdEPLFYjNe27aCr\nt5dZkyfi93qMayfy4ZfMn807zcdQ7SoXL1hwxrmfrYdp7k9brMHGSKLrp5t7iHffvAktRa9QzKDm\nRmwKrStCvGSxWAgEAiPWnepCQxrMIuQm5EfKwxQehFj4zI3Szd1iRuJYZoQ3IBoviGObhyaL71ms\nrV25xy52XuY/mydYFFPAFtoNi9KWbDaLw+EYyEHmLCji/pqbHwgDATChehKqzY7NYyfS2o8/HSQa\nj5Ltz1JvrTfyXUL4Ye5IAxBLJcg4Qfc6UftS9GoJOnq7OdzfCnYFW8bCRdVTjGttLn8Q59/a0w0e\nJ/RnQdNRQh6eP/Q2i4Knw7iVTheZTApbJIbf66fO66c1kcDqduMP+KjGht9nI2FNDLpGWVXl4LFj\nHG1qp8rjwWq10NfWx+r1lw26rslk0pjs8tTOXeBy0bx3H0tra3CavFNFUQiGgoQqQsyYMYMDhw8T\njaawaCopS8JoZCCev/1HmjkQTmLBwdYDR1i/bOHAeZkmmbjdbpZfNJu+vj4SicQZuW7Rgk+8O7lT\nTgo9n7kGq1zx2HA2iAJz+FcMdB+OoM98HYbCvLkUjTgAo/GGeB8sFkvZaaD3EtJglsFwX5BcY5Bb\n2yhKVfL9XrkP7lDnmNv4wOFwGMKO3DFQ5gYEpe66R8LDHC0FrFhUzAvLnsN7eP3Ym+hpjaUTFjOp\nfpIRKhQ9YJfMWUTnti5SsTRz/NOZUjOZ/kg/qk0lnUoP8l7FIt/e3UV3sh9Xt5M5E6fha++ko7sL\nj9tNnS3AyY5WomRwY0XVsxxoPU4qk8GPnYba2kGLVltXJ13JCL6KCnx+SMbiuL0etCo/u/YeIJtN\n47I7cPm82NI6KybPxKIoaKpKQM3Sj4aSzDJ9xhQiff2GJxWNxcjqGplslr62MM6+AFitKE6FzqMZ\n3nxtJx++6RoAdh86xMH2dizt7UTTaVIOFy6HExx2IrEYzneFXuI6m/9rrK+nu6mZvkSC2dWVRthd\nhB1jiQQWlxdLNouWShhdq3w+n+GJimdAhITNC7wwAOKZFoYgHo8bee58IjLA6CWsKIqhBB/Oc1Uu\n5vCv0AGMtoESny9EPnBmYxHzqDlJfqTBLIHhPkC5op+hGrWf7fGG+h3hseWWiojensJ7ME8ZEZ8p\nmnKbF8Ryjl3quYs8bjkK2HLIZ8wP9zcRmhIim8rS1NJMdXCgREJ43OJ7rV14mbHQRyIRQqEQkUiE\ng4cOkVGzVFVVGbvzdDpNZzqMxe0g5bLS1tvJmnkrWW9a7B89dJA+UvRpUBEDQj6w2Qn3x2h89x5k\ns1m279/LKTVOBp3eeJgK7LgUK1pWg7ZuUm47ziR0ptPoEQ01neboO7uoqa3DalGYXlFFjWIhGAgQ\n8geI9A003gjHYnQnEoTVLLG2DpSklWxKA10B3YJisdJ2vMu4Ny2xKI6AH7w+2hJxHH29tESjzGqc\nQFVtjfFzrZ1dRGJRJioKfp/PuM6rFi00anW7urqorq42WtnVhQK09Z4gqevMmTXV+CzRx9Zms+Fw\nOHA4HMZ98Zk+W2zuFEUxnhlN0wZ1ZiomItN1nWg0OsjQDzUJx5wyKPfZN4d/S+mENVLkRm3Mm3Rd\n13E4HKNemnUhIA1mGZTrQZkNplmFWmqnoOF4bLm/YzbSIk9iHp8kjGG+RUUYsdzvlLugmAu4hcKw\nnEVAlDUIQclY1FUCBK0BOmxdpCJpKi1B4/qU4k3vO3qYt2MnUBSFfW8cRXVZsWsKC+umY1es4HWA\nouC1+oxJLm63m0gkgi3kp8FZRSYaxZlNkkXB4hgoyjS31etNRMBmx+cPEOvqpqa2kqw1Q9AdZM6c\nOfxp+xYy6KjZNG3JCC5fgKzHTX8yTm11Nb2JBLPrG87YlKXTaTIWhXBaJaOquHUr6Do2pxWrFZLZ\nLJlYkpb2diZNmEC108XxRAKSSSKpNKlAJRWBSnxOK+1dXaTTGTp7etnX2oHdaiF6vIWL580G3h3c\n3dbJn3/1DD1H4yT7stTNDWD1QNehCKkujcoZXm783NVMnjxxULlSKYhnUBhYMclENDgQDRPEMy56\n/gKGOjtf7q8UlbbIdee2sMsthTJvCIXCvFBUaTTIDT3netMul0uKfEpEGswi5OYwh4PIA4qHtVjY\nYzjHy/088ZLkKxUxS9w9Hs+gjjlC3CE+o5CIwKzQE7+f6w0WalZgXkzEjtvcfm6kdtzFvO5L5qxk\n1/7dqFmViTMb8Xg8BRdKszeh6zodiX4cgYHF+HBbC9OmzoasxqFTR+ns6SHRlWFm7UTqZ1cPypO6\n3W4mOfyciPbiSGhMqKpFs1rpifQTyWocaDvJxFA1LpeLhZNnsGn3drq6uvEFg7SE+6hxeYxxaO60\nSmc4RiaVJJnJkHVlsek6qVSGVDxBoz9If38/bx0+zPGeHpxWK24g5HKBqtLX2YXd6QTi6LjQsoAO\nqqZBtYNNh5u5xu1m+UUXUXvqFA0NDbxzqhW7NmBgdx/ch9/txmKxcWDbLoL1jaRVjXQqgqZp/Gnj\nq/TFUzRv3kW1Uotb8WHRNZo3dpP09jG9fiZOl0L2FPzq+3/i3n/93KD7lpvKGIpoNEp/OEYoFCr4\nM8lkctDGsVDphPn9KCQoM/95qPIP8X3M5y9U6MKAmd+LkaZQrlQ8zyMZxXkvIA1mCQznQS6kQi3l\ns87mxTGLesz5mXylIubSBfHylJrDMC8YVquVZDJphHUKKfSKfWexCx8qLDYc8uVJRb3rvBlz0TTN\nOG4pn6MoClOCtbR1HAIFqm0+cNo4dvgw0ZPdOKsDWD1BWiI9LMv5TE3TmDdpGjPTjUSjUcLhMHV1\ndfQm4lj8HlSnjfZoPxdZLNRUVRFUnJxw2omqKg6Xg+y7E1a8Xi9Zh4NARZD+qJWAy4mSzeLWVNbN\nuQhFseD1eNh5+DAdyST9gQDuZBKrqhLTdQI2G5XVtcQUhWxWJ97VRSBbhYJO3JVg6tLl4PbQ2dWF\nx+WiurKSqooKFtrsNO/YTVYHn82GxeGhq7+P3pRKuuUUFaEQtX4X3b19RG1eVKtGvE1DrVXRNdB1\nyKSy6HbQebdBOqD3Oti+ZQeLly8s+/52dnbx9Es7sdi8HDjSwidu+sCg+2W+36UIbMzP2lCel/As\nzY0L8hnY3PKPoQZcDxUKzg0JF0NEl3JzpeKdHSs18IWENJhlUIrHJ3IFwquE0zmx0TiewCxkMCtv\nC5WKnG2+UHhMgGEozcczf4fcBURM8RCfI+oh87WXyz1mscUkd3qDuIbiPHL7z7rdbmKx2KDfKYVp\njZOpDQ3kLm1zbLyw7TXswQosKvQkovj9fjyR055HrtjLbrcPyl85LVbCegasVpzK6Xq41kwSiwYx\nLYu/P4Wzssr4zAqHk454BpfNTo2u4K+oYHZFFbVV1UaI226z4QwF6W7vIKhq2FIp7ECgpoaqVAaL\nqmH1eJi1bj6xVAaLRcEaS6DF41TqOhNmTzdyX7FYjPqqSj57xRo0TePI0WO8tG0nnW0d1NU3YLHY\nCRFl0eyZaLqOHgmj2B3oqoqCgsUD9szABBbFomBxgcUK2SjouobdkX9+qPm+5LtHR0+04vRUoVjt\ndPZ2D9qgmXOGQ5VEDRcRDs6HKBkTxxalGuWUgRSiWK7VLO4xi/Z0XTfywtJYlo80mCVQaohUqN9E\n2Ef0XS33wRzOgyzCQuZdtJj1aJbXmxsQjFS+cKjrk+8lzj22eLHFvMqhQmH5duz5sFgsxgxDGLg3\nkUjEOEdxbPO1NhvXUjAvOjMnTaMz1UXXqVZifTHssRQXL7jE+DxRd6goA6PE9jQ30dLThVeD2tpa\nZjVOwnr8GDbdQXXd6f6sajKFIxjEp6pM8boHzaWcN20armPHcFU6WLRwIf3hMG8fOsTBo8dxu11M\nqa1lRkMDjt4ejvdHcDld2BQbWipDMBBggtdLJJmkYs5MTvX0cLKvH0WHeocdm67QHU3x3Bvb2XDJ\nskGjzcTCG4lF0TIqtmyG2sbJWGL9zKsdKHWxWiysXzSL5pOnCM+thP7TLWYdbgeqAxRdQdcBHex1\nGkuWLzI2cYqi8PyLr3HkaBsN9SGuv3pd3nug6zozpjZyoGkHqhJgcr3fCDmKuaUw9jlDs8BmqPZ6\nhX6/0HswnHdBaAxE6ZqssRw+0mAWoZTwR6F8oTksOxxKWbhzS0WsVqvRPzPXqzS3tRuN3XYhcheQ\n3Fyl+H+5o5GGMqpmta85FC1IJBKGQT3YfIRDJ44yb8oMKoIho9TGnO81k81maWtvJxgIGHmwBTNn\n884zB7EG/MxuaMCR0agKhIwckiiXaO3sIJNMsSfai8PtJNbTRzQWw+V0UltZRSAQMDzeA0ePkrE5\niHb1kQpHsFdXE1AU6uvr2X+kieZjx6jwnO7f+8yOXYRR6I6nqNOg9+hxqh12EqoGdhfdkQS1oQBe\np5Pj7e1cvGgR1dXVRKNRlsyZQ+/mV2jv7aXX6aUlHsHn9TJ5wkSOHDvBrGlT8Hg8g7ox7TxyCvyV\nNLh86O3HWbVsARZd42DTURQdZsyYQSjgZ+bERv78m2fpbY2QdmaZc00dLv8kTu1MCXoAACAASURB\nVB1sJ5XNEpzu5/q/uMaYSgLQ1tbG9nfa8foCHD6e4uDBI9TWVpGPiooKPvmRK1AUhbq6OmPItxjP\nNloDzPOpZIXAT2yah1OuUmpIWBzPbDzNNdzid4XHKjxLyfCRBrMM8hkwEWYTZQVChQqnZ+cNV11b\n7FzMoV+r1WooVMWxxQtdagOC4TKUh2nOH42kR2sOvxZCbGLEfbDb7WeoIju6OvlN0zbsFX6e2/gH\nLqpqZMX0OSyfO5BLS6fTRh7IZrMRiUR49I1NhL12/P1JPrJiFW73wPSRVQuW0ntyP7aKAGpLp1Hb\nKpSb//f1zaQCPhyn2tACXnojYYhE2HHkMCtmzTauoVjgWnt7cVVV0p9Kkvb5aOvqJma307plC9YZ\ns3FpKl3HTzB/5oyBxRLIKApZl5d4OkY0nkCtqqEjHEOvbsCpt6HbrDg9Lrp7+9nf1MziuRex70gz\nPdG9hKMxNKuDiGJDdTnoSmSYkEpQXTEp7z3IxKNErR48vgCLpzYQ8Hn5/ZMv0dMbxubxs+MHv+T+\nO2+hYUIDN3zyOpLJJA0NDVRXV9PR0UEkEsFqtdLQ0EA0GuWV17ex91ArTjtcc+WlaFoGVbeTSoV5\nadMWYjGNujo/N3/0WqOmNhyO8Pzzr1JREeSqqy4nk8kQjUYNA+Hz+UZlUyiedfNni81rqbnSkcCc\n00ylUsYa4PV6jWfdPNdVcnZY/+mf/umfxvskzmVEbs3ICb272IuEunlOn8/nG2SIhFErd2cnCrFF\noXYuqqoadW0wEG4SLfWE6Ed0rBHdWWDAqxyNwc7CixK5UDjToAuhSr5ji7zecPK8+RDXoKenx6jJ\n83q9hEIh4x6KnFLTyeMccCcJpxO0ZGN4gkEO93awbuZCw3NLpVJG+PXkqZO8menHEfCRtuiEkhrO\nd5uQB3w+6I9iiSSoUC20dfdgUxR6IhE27txBq9+DpyJEJpNhns3LnsPNOK02+lQVe1Yl6PXS3d/P\n7uPH2dfWRmMoyL7DRzjV3kF3axtOlweXxUJnPEmrlqWuogI1FqGhsnKgtjGVJBwOo3Z30hgKYlM1\nuqNxOnvDhNMZpk+cgKW/h1QshsPpol+30d12iq6UTlxxEIvFcTht9MXSeF0uZvsdzKoKADpOh52K\nigojR/3Cy2+w52Qf3Z291FiTfPS6q/j9M5voiGSJqnZSySQWXz0TK+zU19UaTfKrqqrw+/2GJ+nz\n+aisrOT119/imY078AbrsTv9oCW5bOVFZJL9TK5zc7g5jdMVoqsnS221jVAoiKZp/Oynf6S3x0ZL\nS5hksoeGhhrjfXU6nYPeB/FfbtRgOAb1zde28+dfvcje3QeZs3AGNpvN2FiN1Sg+gTDUYpOQayzF\nPFaZszx7pIdZArl5rkLzIgsxUh6myMsIEYMwQkI0Y7PZjHrIfKTT6UHhxkJlH+WqUnM9zHK9ylzZ\n/dkglL/mLkVD3ZvFF83ntaf309HTgTWexj6/iuzxTmP24t6mw7y6/x0aQ1VcfellTJo4iZpjB+nz\ngy+cRPEoPLL9DTJWK5fU1LN4+kwisRiP734LJauyY0czNp8fb+MEmva8g7JkAY3xFPOWLuT5A/vI\nBv1ELQqdfT34XS62NDVj9/txBYO0RKL43T6mTAtysKWNzmQCT0WAFBa6j56gXdPxZDJsP3QEt8fL\ngeMtxLI6syY0sGrRAl7eup0OLY2rJkhVopf3NVSxN9rP8ZY2ItEketaC1ZYGd5BwIkE2GsGasbNk\nQj3XXbWe/U0nePmdo7SceJug18OyuUf57Cc/CsCRk514K+vwBqvxWKID70U6SzSlEk6pqLEkkwJx\nJk5oIJFI8NLGV6mrrWLiu5NGzPf7jTff4s3dnSSSOkdP9jFjSoi6uioWL5rP4kXz6e/vZ9eeP2Kz\ne7GnE0yaNJFAIICu66iqBZvdi6Jk6e2NAIOFOKUqtIu9E7nq1M1PvYUt7SUVhef+tJn3X78WwBgk\nMFaYuwaZ0yxSCTs6SINZBPPDpqrqwA4+Z15koQeyVLFQIcy/lzurUtRzDiwaquGhmVvLweAwZLmC\ngXJUqeJ8zerbcvKkI2EwzaFnq9WKz+djT9NBnj68CwWFm1esZemc+YN+x2azcff1H0fTNP7n1Rdp\n6YywYvoyHA4Hqqryix1vYKut5Eiqh9o97zBz0mTuvvoGjrW0EJju5ultb2KZUIfdYedgaxeL9Bn0\n9veRttvp6unBWlVJuK+PqQ47M6fP5HNTLsIxc+C+TayopN+i4LJYqA1V0NzWQdZiJ6Vp9HV1Mauh\ngX4LJINBMgcPoVmtxDI6KZudtTNnoDicWKwWNAVe2raVTO0Uwn1hXj54gsNHjpLRNBKBWnSni2l1\n01BVaOtPojtDZNQ08ZYWugNePGmF1hMtzJ09G5fdTsDvoaGujue3vENnTxg9MBnVmuJwS7+Repgz\npZ7m7UdA11g8s5pYLMaC6Q0cam7Fo1jx11Ry+ZKp7N+9n8cffgKP1YfqUHn92a3cfs9f8szzW7Db\ndK67ejV9/VGsdi9Tp17E8eZdXLZkPsuXLDDuUTAY5OaPvI+9+5qYPXsFNTXVxvO5es08XnpxN06X\nhcsvfz9+v98YuC2aiA8lohlOwwKLxYLNAdmIQjqTwu0diB6Jsqx8uc3RILdrkLl+WrQSlMZyZJEG\nswzMoc1SQi4jUTcoRAS5TdrFLtJs9MyiCZvNZjRzz4cwUKUIZ4oZVrPwSBxP5EzEBISh6sfO9qUW\noishfBItx5LJJDtONaNNqwVgc9PeMwymwGKxcOOaDWd8L9WioPtcaCmFVOb0/Z87cyZHjhyh2u1h\nf7yfrOJmsm0ghL5w7jy2HTxAu82O1+VCDYVwtLRx1ZIlTJ8+nUf+/GdsikK1zUGst4eJoRBzpk6j\ne/c7BOsb6Gw+jDObYfrixTSGQrRHo8xeOI+Nh4+S7uggqyvYg9NxWRXCuoKeSTO1rp6DkTAt0SSp\naAJHfT1q+0lctgjhrk4+8qFPs/nVN+jp70fxVaEpkMlkUd0VJCwKWd2Bw+kmq2bwegY2OcvmTGXX\ngWY6ulqomTKJSt/pWYqXr7qYi2ZMJhyOIG7fzBnTWd0bpbk9ToXHworFC/m3z38HZ78H3WnFnrHR\nuSXCN//lP5m9Yi2pbIZXX9/FLR//ICdO/pH+SIZbb76KeRdNP+OZmDNnBnPmzBj0d5lMhgULZjN/\n/qwzvCtBOZGSXKNa6H1QVZWb/vJqXnnhTQKVNVy2bkANnUwmB3XGKta4o5yaytzzlG3uxgdpMIuQ\nSqWIRqPAwMsnmkKXw3C9JzFVQOzqhVeZ24Agt2F5KQ0ISlXhifMfypiad/ACMZop33FzFxBzjqnc\nRcQcksod+qsoCiGbi+OWge9Q5/QV+bTB2O12PnLRYl4/2UyDw8P7Vi4jHA4D8MPf/47Xjx0lGYlS\nabOxYsYMulNpvvHoozTUN7B63gL8J47TkkywqLKGuz76UZxOJ9987Fe0WW3EIjGinT1MmthIz7uq\n2OkNdexsPobDX0FKzfLd519lSnUVa2ZP5aIFE3n7YBPh6gYq/EHasHDL/FnsO3wEj8vLwnnzmB9P\ncOyR35KqnkI0lcbu8uDy+Ll8+mRqqirpTabxut2caD6E3e7Aq6TojyVxeHyk0yl6TzaDptHrHijJ\nuXjpQhbOnUXT0WMcPXaSSy9ealwbTdOMdEAkEsHr9dLX18fKpfO5eepUYrEYT//hOawxJw5HhlRG\nRbFa8DhddJ3sQb/YhaapOF0D9bt3fmYg1BuPx41rXIizLdsoRKliMhHuv+6m9xuDl4cytKV6raWE\nhc2bw3wqXNH7WTI6yCtbBHM5gln0M5qI4wmP1uVyGUrM3PKI0WxYLii0kIiaTvEzLpcr7witYguI\nGI8lNia5xyy0eJj7ghaaqHLNytVMOnYEq9XCuisuLfu7X750BZcvXQFgfFdVVXm7v4+OdAbP5MmE\nrVZebGrG0dhIuKGe3u5u0vv2c+f7N6BpGn6/3zivtK6RdbrIJNJkdR3V7kQnNtBjVlFIJdPE9Qzt\nkRjWqjo60yo/+sPTVE+eSXtfggqbmw5bmlnuAbXzpPo6kskkTqeTuro6vvbFv+YfvvMjuvtj+P1e\nFtf6+MwnP4qiKDRWBtn61i40TwXBugZivR3Q14WiqqDq4PATi6fZ1hyh/ae/4b47bgGgoa4Wr9tl\nbMyEkAYwJqscPNTE//z5FbKawqqV7axcvmCgEQHgcjvw+63oOqS6s8ycOZEpDVnsNjtrV19c1v0o\np2xjNMKR5c7OLMdrLQdFUbDZbMbEFdE4RCphRxdpMIsgwp/Fdr35KDeHqeu6UcYgft+ckxEvnKKM\nTgOCUsnd4YsQtWhmXcpsPvPiIYx+7k691MJss5dtNqpiNuWVK1eNyOIpdvjZbJYaFPZm0iR1jaku\nHza7najLSU8SPMCJ48f51188ijcU4tKpU/jYtVcDcPP73sfjmzczwargmzaZaDrBkdY2/tDZgxIN\nkwjW4PC6iZ9sRVMcZBVIeirxW+3QMB1bOoK74xR/fe+dNDU18ewrW1BcPt4+2spnb/4wdbW1XLd6\nFS/tO0mss53n3jrMRXN2csXqS9jbdIqKupm0HmujNZzCo1uosmmk00kaK7wkkhky9iAWRacnoRqL\nbyaTobu729gUmRECr9fffAfdXoFVV9j5djOL5s/kiqvX8ur/vIHe+673p0NWSbP2g+u47qZr6e7u\nLihQy3e/zGKyoVIOIyUgy/3M4TRPL9VrLZQiMb8HZqNq3rQ4nU78fr/sCTsGSINZBEVRzmrXVupC\nnTv6C07nAc+VBgTAGYZaGMpyNhTmkKtoui5Kc3LztzB4ETEXZovPKdRWT6hlxbmdbU7JbJS/eNNH\nuWT7dpq7u5laX8+ydev41SuvcPDEScLxBBHdSryihqTFwu6WVj727mfMmDqFvw590FA7t7a2suNU\nFygW7K4MfSpU251cMn8Ox3sTOP0hjh5pwmqzYTlxhIapE7nssiX4vF5++8LrZB2VZONh4rqd7u5u\nQqEQPo+LtrZOHBUTcWppNu04wGUrlxJOQaCimsqYTvjkHiZMqCTUsAjd6uTkwZ241F7CsQ4ap0xn\n4bR6o0fqf/7kNxxviWNXUvz1HTdSVVVpiN1EfWpjQyUn29tQLE4aqlxks1k8Hg8f/l/X8uLvNhPt\njeH02llx9UJWb7iMSCRiGD/zRkd4TOaUA5Tn2cXjcVpbW6moqCj5mRwKs1ebG/YfKYZKkZhb7An1\nNmC8g06nUxrLMUIazDIYCbVrvn/LLRVxuVxEIhHDQMDAiyT6oIp83Ug3ICj2Hcw77FxDfTalIcVU\nxqIpgzCWZkNtPr9c71R4rGYPvdycktlbNRelV1RU8KGrrhr0e/fffDMAD/3sl+zs6KIjkUBzu6n2\nFC4zCAQCBFE5pYIlpRFuO46ts4X161Zx6dwKdh9rZe26FcyfPoVJn7iKVCpFMBgcUEw7/CQzabD7\nsMd6DAPx4Q+s5423dnMwnCBYXUO1f6B5wsz6IIfaurmo2soX/vb/5evf+RGdvVFcAQddkSzLFy8g\nEI9z1coprL9iHTCw6Wg6HsXtq0bTYPuOPdx047XGvXn66U3s33+MRCJMvDuJrme57i/+ApfLRTgc\n4eixdpZtWM6MmZOw2+3U1NQYqm2RtzY3I4/H48TjcSPcmBulESPgREg2twTq1IkWvvvQT1HjFhrn\nbeG+f7hryHtdjFyvttQBCiOFWciXm6sV4h6phB07pMEsgbMpDxnKkOSWiogyFbGgF6qpNO/GzSrU\ns1HeDYXZqxwNQ51Op4lEItTW1p5x3iJMndswPffn8oW+hBdibogwEjklVVWJRCIF86xXLphL26tb\ncHV2UJuKY/VNYueefaxcunjQefzqz8/RFokzuSLIhGSCUxkbKbuLCbMX8frxCJ/bMIsPb1g3SNQU\njUYHNgC6Qk/LcXD5sSX7+NLffNoIEVosFr72D19g82tbCEfjXHPlWja/9iZHjnahqBk+fsu1/OZ/\nXkCzNhJpaSbWeZyGUBAVBwoRGhsbjedWURQCHo14Fsj0sGLZ6fB2e3s7zz9/AL+/gt27DjBr1jyc\nThcbN27jmmvW8LP/+hN6OkRTthVF0Vi4aN6g9nqiM43P5zOuvXk2qqgvNjNUnbHFYmHzC69hiQaw\nWnSad7eTSCQMo5LbmL8Yuc3TxzKSY96g5m4QpRJ2/JAGc5TJZzCF0i2396x5Tp2oqcxdIMx5tGLH\nLaUxQTHBwlBepWDngXf45evPoKDw6TUfZO6MWSVfn4PNR/j35/5A0qqwet9k7vzQR41/Ex2ExIai\nnDxtPB7nh0/8gURG5WNr17JwzhzjupSaUxJ1neL3xCIlGpEXyrPOnzmDf505g1179/Jfr+wmlrby\n9p+fZ8bkibjdbpLJJO/s28+RBDh9lbzdcoKPXbqQD02dwvee2AguH5qa5URLG7OnTwMGjL/dbjeE\nUTvf2UvDjEW0NR9Ct7j5zo8ewR2spb7Sx9/f+1ksFguXX3Za5LTp9b3gakABXnxlF9mMCjYvEycv\nYEIgwYZ1S9i6Yy/TJy+grrYGXdeNzdx9f/MJdr+9n/nz1tHQUG98psViGZifmXWSyWbIZq0opKmt\nrQEgEVexaTaOnWgmmmilraWbT93+MeP3xb2wWq2DJt+IkKvYtIh8ZaENjvnP8xbPZssze7HEPFTN\n9BrNOswUezdg8NSfsW5YnhsCFmpkgRz4PH5Ig1mEkQg55pZbiNBebqmIaEAgXlyhHoXTtYXiPIby\njspR3hVaNEQ4WJzPUAN3n3j7NWIzgqDA/+zeXJbBfOmdnSSm16FoOm+eOsWdnGmsitWU5uP/Pv0U\ne9xObG74r40v8O13DWYp5G4UxLUXnq7b7Ta81qHqWSPROKrLR8riIKVbSSQSRqgx5PehpOMcPXkK\nVXHx1LaDrEumWDVrIm8dbWGC287aS64ABoyI1WrlN398lk1b9+J2WLnthitJbHyDmOahKuimIxyn\nMm0j3mtn6/YdXHLx8kHfqTLgpDWio2sq9dUBli66iF/85kUArv/AembNnEZDXQ3PPruZt7YdYNGi\nGbzvfcux2WwEAgE2XFl7xnWqqanhxo8sY/fuZpav2EA2o1FXX8WKFQtJJBJc+YEl/OG3L4HqIeit\n59ihKM3NRwflFnM3X8/+6UWOHjnF4hVzWHHp8kHPfSksWrKQv/8/tTQ3HWPx0oXGxma4qtR8kZx8\n78xIYe5Haw4Bi/dQDnweX6TBLJHhvhTi94RgJF+piDCUAnPewmq1ntH/NVc0U4iRMqxix1vIuHqx\nk3SooOsErZ4hPyuXhZOm8tKBN9Aq/cx0eM9obZdvDFcp2CwWknYbFquVCqX0BcacsypF4DHUfbjm\nyis41PIYJ/v7WLlsLo2Njei6zqtvbOVUWwc3XryAnz25GWttPR0nj/DsljBrVizkn//qtkGfI7yk\n59/ci8VbRxgLr7y5i9s/8gF+8JtX8PoraG/vRK2oxZqJMKGh3hCEiPO76zM38+enX8TpcHDVhrUo\nisK//OPpjU02m2XHjrfZvr0Tq8XN4cNvsmrViqI5u/XrL2P9+ssG/Z0QWW24ag3LVizgn/+fn6Gr\ndhRrlFAoVPCztry6lY2/2oPL5eLwrpe45LKVZbeZUxSF+oZ66k2ecD7yvRu5+VQhKCtFqT2UkKzU\niE6xNncOh0May3FGGswyGI6HKX4nHA4bD77X6zWEKOJnhLDE3NZuuMZCUI5hhQHv1zy3UTRsLlbm\n8ReXX8/vX3kOq2LhxrVXEYlESu5Tu2rJckLeAMfbTrH2xpVEo1FDqFOuVznonK69jujvfkskm+YT\n7/9A0Z/PzZUOlbMq9TmwWCzc95efHPR3z296lV+9cQSHy0NTyztcsWwev968E2ewFkfIw4s7j3L1\n5VGqq6vP8I6qvE7adRvZZITG+onU1tbwsQ2LOdB0khVXLiCrKiyat4SA30ckMtBX1bx4b7jiMiwW\nC+l0+oz7ITybbMaKqtgAiyGwORvq6mr5izuvZMe2PcyYvYKqqsq811FVVdo7OtBSVjKqgjbKucLc\nd0M0CYEz8+Sl5LyHIyjLvf7CWDudzkFDDOTA53MHaTBLRDzU5SDqAGHgwXe73caLkFsqYm5AcLbG\nYjiUkqssFH50OBzc9oEbyqqfNC8YUyZMYFJ9vVFXJiaJnM0C4XA4uO8Tt5T0s2eTKy2X5lNt6O4Q\naSCc1LjpuvdTHfTx6zePots9WC0RQqFQXs/qH++9nd8/+QKTJkxlzfsupqOjg+VLFtDV0U1tZRXv\nf//lBRf2Yvcjm82yePF8Wlp66eyMsnLlUkOZPZzwo7kkZNHi+UxorDsjlwjvjgl7V1yzZt0qjh5q\noftkhPWXr8LnK68z03DJ7cma++yJzWMxRiqiIyYMORwOfD6fnGF5DiENZhHMOUzIPzQ2F10fPNEE\nwO/3G7lK8VIpyvg2IIDyFLCleKuCYovGUAu5WahhDmUV81qHg7lh+1hsVD60YQ3v/OBR+lMqKxdN\nJZPJcOW6NcRTaU529LJ2/fqCY858Ph+fuvnDAIZx/8F/Pk5nj49MpgtFsXLttevP+L2h8qzZbNa4\nB4qicNNNVxmGytwX1cxQ96G7q5uvf+X7JGMaF6+dy6f/1y0FPXLh1Yv3xOv1cs//vqOMq3l2DKVE\nHQ7lRnRUVSWZTA4alACn75Mc+HzuIQ3mCJNbKmKxWIw/m0U9MLgBQaFyidGiVAXscCm2K889vlCf\nDrfUA4ZeyHMNq1AqC6/2bMPfpVJfV8d3HrwPTdM4ceKEISK6/qr1JJPJsovt+/ozZDU7WOw0H2vL\n+zP5FnGRlxYbNa/XSyaTwe12D2pvWK6n9LvHnyTV6sNqV3j56d187NYPGl2hxJxXcc1PnDiBoigE\nAoGiI/JGGnNUIZ8SdTQR0SphLM3DpsX6INvcnZtIg1kC5p1jIQ+zUKmIyEnGYjGjbZxQgYrPOpe9\nyrE4fimdU0oJdZWTRxK7fEVRBg0FN5cW5N7nkTKmQtyRzWaNod7/+m8/pKM3wYI5E/jrO24r/iHv\ncvGK6Tz34gE8LgtXX/WJso4vcuoej2dQ96Ry2hvmhoBnz53G1qeO48j4CEx0GM0JNj33Cm+/vh9P\nwM29D9zFk797lk2PvwkWuPbT6/jAhzaUnPc+W8T7KLy4sW5GYD6+eaOs66cHPktxz7mJNJglMtQL\nlVsqIhoQiK4wgLFw5GJWoBZaLEaqIcFoe5XlHr+U5tUC8/UpdoyhDGquIlmEBfORey+EKErUCJZ7\nT/IJi9xuN888t5EDbQ5cTi8vbDnBzTd2UV1dXdJnfvC6Ddzy8RtKCkvnHt98/YfT/Dvf/bjyqnW4\n3G6aDx3j+o9cRSAQIBqNsuWpndjjPtoPxHni109y4M0m7PGB0O/u1/bz/uvXl5X3LhamL0Rum7mx\nHrBc6Phi8yIHPp/bSINZJubFVpRAmGdVejwe49/EDjYQCJxRBC8UiOWKM0oJOeZbxHPHYI21V5lb\nrjFaxy+0kJsnbQivXvTpzWdYzfdDGJP/84Ofsf9kL0GnwoNf+KyR6yvlnojNgmjp5vF4SCaTKIrC\n5EkTUDPvkLRW47ZrBXOYhSg1p2weCzWaUY3L1lzCZWsuGXR+dreNVJtGMpmisrqC2cums2nXDhQr\nLLx0BYFAABiZ+ayQv8xDNAKBsQvBC3I3K+ZmCFIJe/4gDWaJmEOyIqQqwiq5pSJmUY9YqMSLOtSu\ndihxRq6XVMr5miXrYpGx2WxGyKcUAdPZIgRQ5skmY+3VmjcrubniUj3W/v5+tjX346mcSIem8exL\nr3DzjdeXHAY2Y7VayWQyRmOIeXPncMfNvew9cJQrVt9g1OeOFObNijlfZiYSifDUH59jweJ5XLxy\neYFPGh66rvORz17DGy9sZ+K0eXzopuuwWq0svXQhDqeDhYsXGD97tvNZSw3PJxKJM6bbDLcjVinn\nO5S4yG63S3HPeYI0mCVgfmGEV2kWi4hSkVxRj1munq8BQb7jiJ8dinyGtdTFIl+rvdFaMHIHW491\nrjZfE4RyFybx3QOBABVOjT7NgiXWxbJFq/L2qM29B2L6hhlxPqKZfDweZ+XyRaxcvggYqNktdk9+\n95sneem5t/B4rXzloXsMD81M7mZhqHKhf7z762Q6vbz0m9188at2lixbVNZ1KkQ2m+VnD/+cpj3H\nmb1kBrfdcYtx/OUrlw3rM8sJz4t8uYisCENVbtefYiHgQnlWkXIp1ObO4XDIgc/nEfJOlYgwUqKX\np81mM5R9uV5lbgOCctt7FaOYYc2nQBUjtIYjkhHHLNWw5oafxloBDPmFLWcjpLBarfz7P9zFH5/d\nyNIFV7N40fxB/25eLMUzka9jkNmwRqNRQ+RR7j357WOv4LI0EO7U+Ml/Pc4dd916xv0QytRim5V0\nOk3niQRezQtZHzu2vn3WBlM8Azvf2sXzP3yNoDvIs69tYv11lzNz1syz+uxSEc8AFG9EUcxrLSdl\nYjbmYnNksQwM2hafIzr3SCXs+YU0mCUg5PACr9c7aCaduQGBua3deDQgGE6uspQFoxzDas7zinKR\n3F6co2U8z0ZYVIz6ujru+NTHi/6cObKQu1kwf3fRxD13KLP4HlA4PO/xWol3K2TUJFU1kwc9n/kw\nhwRzDavdbmfx6insfOkYgQY7193w/rKuS75zF16VzW5Fy6jEo2mybm1MDMRQ+cJ85G52hvpcGF6e\nVWygYGD9ONsNnGR8UHTz6iY5A13X6ejoMF4Aj8czaKeYz6tUlIEmyWMtKhgtQ2E+xlCGNVeBOhSj\nEQoeK2FRIczCGhh6oe7p6eUHD/8cm83K3fd+puy8ZXPTMX7z+DNMmFjFLbfeaNyXdDptHN8sOCrm\nGem6TiQSMTrLlBN2NJMvX/rYT37N26/sZcnaBXz80x8r+LsjQa646WybiSIbvAAAEnNJREFUEQwH\n84ZJhFzNRjQYDMow7HmKNJglEI/HjSYDQtxjFvWYRS1iAPRY7h7N3WpKrWscSXJzhS6XK2+uKN//\ni1GKYYXTfXBh7IVFUH7T9r/9wtc42WxD03QWLnfxjw/efVbHzzXWHo/njBBsqUKZUsh3LzRNG7dG\nHDC4GcFIhOHLJXctEGuFwGazyYHP5zlym1MCDoeDbDZrtPEy5yjMXtV4eJXmRXK86sqEsc63SI3F\nNBUz4nj5wo8wcs0HzN+h1KbtZhIJlUTMDijEYvnrQEulVGOtKOX1RD0bFaro6FNK9yVxbmeDORUx\nHsba/C7m3gNdv7AGPotNldgkvZdCy9LDLAER5hLNCYbjGY30QjHeXmWusR5pYVPusfIt4ua6ulIZ\nyQXc7FmXqwLetm0X//n//Q6rzcL9//s2Zs6aUdb3EOSG/8a6ZEekIkQeX3hUuYKZYpzNfSnWPH20\nKebZXkht7r797W/T2dlJMpnkwQcfxO/3D6oMuNCRBrMEzKUBYpEIh8MoinLGUOdyQ46lLBTmh/Fc\n9CqLlcuMNLn5WrFIin8rxTsqRrH7YRZxjFf4z3wNhlMyc7aYvbqhWsyVek+GsxE1d9AyR3jG6n0Y\nqs2dolxYPWG/8pWv0N3dzb333stPfvITTp48yc9//vPxPq0xRYZkSyCf1yAk4WLxNL/0+dR0InSb\nK1MvNewoFmNhuM0vozjeaC8SYyEsKkaxPrSlqh2HWsTLuS/ieKJrT7mt2oaD2aMZj+gCDPbqij0H\nuaUWhci9J+WGgZPJpBEaHw1RWS5DtbkT5UIXUrgylUrx4IMPUltby913380DDzxAOBzG7/e/ZzxM\naTCHidmIWq3WkuXohQyr+b98i0auGEMYLzPmhWm4KsdCDKdh+kiSK6g4m/BjOWUE5nuhqqrRnQcw\nuiUV6hNsptxIQiHMi/R45+rKDUMXo1TDmls65XA4hrUJFccs17Dm5q3NAivhbV9obe4ikQgtLS10\ndnZSW1tLJpPhxIkTJBIJAoHAeyYsKw3mGGBenMv1fMSfo9EomqYNmsReaCdeSnF1OU0IxrO1HZw5\n4HmsSgXMC7i5lV1u+HEkRDKCoe6HeTTWeIRgcz3bsRyJJSinefpIisrMz4L5HRPHFxtJ0STkQjIe\nuq7j9/v56le/amwMYrEYNTU11NXVAdDU1MSMGcPLw59PSIN5DjGU5yNeTGHEcj3VXI9VVdWC3qrw\niko5H3NeyW63Y7VajSYEo6U8NWMO/Y1HI4hC+VLzdx5uyPFsFvFUKkU6nT5rj7VUzHnr8fJszRu3\nfGUzuZQbSSiUVx1qMyrOyWazEQqFLhglrBlxDSdOnGj83cGDBwmFQsBAbrO5uZkf//jHF+T3NyMN\n5nmCeTFWlNLLAwoZVvMCkBsqLtSEwOzh5J7bSIQbc899PAY8mym3trIYwzGswrMVvy/CwGfrsZZ6\nb3IN1XioUHX9dOcgRVFGfNh0KYbVLO4RY7jM98HpdF4wxkKofc3khly9Xi+apnH//fcD8NOf/vSC\nETcNhTSYFzClGNZC+dV0Ok0sFjO65ZiNaKGd93AW73yhx9w+sGOtwoWh29uNNuI4ovYX8huq0QoF\nm++FaBAPZxbijwWaphnlXOOhRobBOVNzSkIYkbFuVDKamI3l73//eyZNmsTEiROpr68fVHPZ0dHB\nSy+9xN13383f/M3fjOcpjymyrERSEPOuciSES+afLwWLZWC6RCHDOhrk82zHO1d4tp5tqYa12L0Z\nTVFZPgoZqrHEvHHKnWF5oQ58jkajfPGLX6SxsRGn08nGjRt54okncDgchkGNRCK88MIL3HDDDeN9\numOKNJiSEaWQcCnXsOYrsynWQNxMvsX7bMsGSpkbOdqUWts4Goj7IPKjMLBpEaVLY2VYRYSj1Obp\no0FuKNrsXYt7c6EoYcX9FN/lV7/6FZlMhptuuom7776bOXPmcPvtt1NdXQ0wyNN8ryENpmRcyGdQ\no9Eouq7j8XgMYVIxEUYxSs3fmXvRjkd96bmSKzQLnAoJa0rxWEu9N/nuRyaTMcLApYh7RhpzzjSf\nhy+M5YWAOYq0detWstksr7/+OuFwmKamJlavXs2dd97J/fffzzXXXMOGDRvG+YzHF5nDlIwL+fKr\nFRUVZxgI8wIs9na54iVhWIfbFMKM8KYKjcIaDTRtcIu98ZiwUU4YeDjipeEaV9G7eaxCwebrkC/K\ncKENfBbX7NVXX+Whhx7i5z//OX6/n89+9rN8+tOf5s477wQGcpZTp04dxzM9N7hw7rzkvCffgicM\n60g1hshdrHPDwMWaEIy0Ijg3BDvWZTP5zmGkwsDlGFZRtgKnc9fleq1na1iHanMnGiRciErQjo4O\nHn74YWbPnk11dTU1NTV8/vOf5yc/+Qkej4dNmzYxYcIEZs4cm8Hf5zIyJCt5z5DPgEaj0UFlAiMl\nXMqXUzX/HwaHgccrBGvOFY7HOUDpzdNLVQQXI59hNW+enE4nDofDKOG5ENvcCf7lX/6FO+64gwMH\nDvDII49www03sH79eux2O0888QSRSIRMJsPtt98+3qd6TiA9TMl7BnOtnfAU8i3O5QqXChnWUiep\nWK1WVFUllUrlLe0YDQNmVgOPVxi41JypYDj1x8MJBYtcssViIRgMXlBK2FzBTjqd5p577uEXv/gF\nJ06c4KWXXiIQCPC+972PD33oQ+N4pucm0sOUSIZJPoNaiiJYGIhSKTXMWOqifi7UNhYT1owFmqaR\nTCYNz9JcMiKuTWVl5QVhLOPxOB6PB4C2tjY0TWPChAlomsbf/u3fkslk+M53vsN3v/tdTp48yW23\n3cbChQvH+azPPaTBlEhGkXz51VgshqIog/qQDqUINguehqKQQTX/WYSBx7O20Vy+M9alMwJxH/L1\nxRXX5kLp3HPs2DE2b95s1Ex++ctfpr6+nrvuuovq6mqSySS33347q1ev5q677uLhhx/mU5/6FBUV\nFeN85uce0mBKJOcAwxUu5Qs3loKorxwJ4VI5lNM8fbQoZrAvNCVsNBrly1/+Mr29vaxdu5Yrr7yS\nr371q6xevZobbriBUCjEj3/8Y775zW/y8MMPc/nll4/3KZ+zXDhPhURyHpMvv5qPcgxrblMIkbMT\nXm0xgcxQTSHKLeXIrTMdj2YEULzN3YU08FmUxvh8PlauXMl3vvMdVq1axYwZM/j85z/PN7/5TTwe\nD0uXLuXkyZN861vfksayCNLDlEguQHKFS0KJKvKVI9XKsJRSDsDIFSrKyDdPL5Wh2txdaEpYYSxV\nVaW9vZ1wOEwkEuF73/seH//4x7n22mt54YUXeOqpp9i/fz9XXnklX/jCF8b7tM95pMGUSN7DDFe4\nVG4ph0B40GcrXCr3OwrvNlcRLGpPL5Q2d2ZaW1u5++67qa6uprq6mgceeIDnn3+exx9/nAceeIBA\nIIDdbieTyRhzLSVDIw2mRCIZkmJhYPFvucKlfI0hilHMWxUeYDmh4GJt7i60gc8A7e3t3Hvvvdx+\n++243W7+/d//nUsuuYQvf/nL/Pd//zebNm0imUzyox/9iMrKyvE+3fMGaTAlEsmIkC+PGovFjHCn\nMLLFvNVSG0MUM67CWOZrc3ehKWFFfaXIxW7dupVf/OIXfPvb3+bhhx8mm83S0tLC9OnTueOOOzhy\n5AihUMhoqC4pDWkwJRLJmDJc4dJwFcGKomCz2YzGBw6H44IS92SzWSPEfPz4cSZPnkwikWDTpk0E\ng0H27dvHzTffzDe+8Q1ee+01PvOZz/DJT35ynM/6/ESqZCUSyZhSjiK4UI4VCs9g1TRtUJcloRKG\ngRBsIBC4YMQ9qVQKp9MJwIMPPkhvby91dXU0NjZy++238/nPf56FCxfi8/lobW3lS1/6EldfffU4\nn/X5y4Xx1EgkkgsOEVoVeUbhGbpcLlwuFx6PB5/Ph9/vN/4LBAIEAgFsNhter5eKigqCweCgf78Q\njGVPTw/33nsvBw8eRNd1vv71r+Pz+XjooYfYvn077e3t6LrO2rVr2bJlC9dffz3Lly+XxvIskR6m\nRCI5r8nXY7a6unqQkEd4pReCuEfTNB555BECgQALFy4km82iqipr1qzha1/7GosXL+aee+7hZz/7\nGcuWLWPatGnous7KlSvH+9TPe87/rZZEIpHkkGsYR6tkZTywWCysX7+eX//611x++eV0dnbi8Xi4\n7777aGxs5MEHH6Snp4cXXniBOXPmcPHFF0tjOUJID1MikUjOM+rr62loaKC3t5eGhgauv/56Tp06\nRSaTIRqN8uMf/1j2gh0FpEpWIpFIzkN0Xeehhx7izTff5E9/+hN79uzh4YcfBgb64f7Hf/zHOJ/h\nhYc0mBKJRHIec+uttxIIBPj+978PQF9fH6FQaJzP6sJEGkyJRCI5z7n00ku54oor+OpXvzrep3JB\nI3OYEolEcp7z5JNPsn///vE+jQse6WFKJBKJRFICsqxEIpFIJJISkAZTIpFIJJISkAZTIpFIJJIS\nkAZTMm7EYjG+/vWv81d/9Vfs2bMHoKwpFBKJRDKWSJWsZNw4duwYTz31FI8++qhhJAs1xjYbUqvV\nSiaToaenh4qKChwOx5ids0Qiee8iPUzJuBAOh/nCF75AZ2cnW7ZsYcKECWzZsoVf//rXbN++nWg0\nOujnLRbLoHFQ7e3t/PCHP6S9vR3gDK9U07S8fy+RSCTDRXqYknEhEAiwbt069u7dy5o1a3j22Wd5\n88038Xq9vPzyy6xcuZLbbruNU6dO8fjjj7Nz504CgQDXX389V199NZs2beKdd94hlUoBZzbbFp5q\nvobbwlsV46MkEomkFORqIRk3uru7ueSSS6iqquLRRx+lra2Nj370o6xZs4Y33niDffv2sXHjRlRV\n5Xvf+x7Lly/n5ZdfZu/evTQ1NfH222/zyiuv8Nhjj/HAAw/Q398PwB//+Ec2btxINBpl9+7dHDx4\nkJ6eHuO4wlsdylhGo1F++ctf8uSTT476dZBIJOcH0sOUjBsnT55k9erV7Nu3D5/PRyAQ4Lvf/S7R\naNTIU956661s27aNHTt20NbWxpEjR/D5fMydO5fPfe5z3H777fz0pz/Fbrcb4dqnnnqKpUuX4vf7\neeihh7BarSxfvpxPfvKTbNy4kSeeeILa2lpuvfVW1qxZc8Z5vf322/zbv/0bTU1N/N3f/d1YXxaJ\nRHKOIg2mZNzo6emhrq6OhoYGuru7efDBB6muriadThMOhwmFQtx777243W5WrFhBMBgkFArhcrk4\nceKE4SF2dnZSUVGB3W4HIJVKMXv2bPr7+6mvr+fv//7vmTp1Kl/5yleYNGkSjz32GLt27WLz5s00\nNDQwc+ZMI0Tb0tLCli1buPjii2lsbCQQCIznJZJIJOcQ0mBKxo3jx49TVVVFKBRi+vTpfP/73+ey\nyy7jt7/9LY2NjaxevZpYLMYXv/hFpkyZwo9+9CNsNhvBYJCOjg6WLFkCQG9vL/PmzTPylX19fdTW\n1vLWW28xe/ZsAoEAyWSSQ4cOsWnTJt566y08Hg/PPPMMS5cuHWQwJ0yYwOc+9zl2797NY489hs/n\nG89LJJFIziGkwZSMG5s2baK2thaAe+65h0ceeYQnnniCadOmcc899+BwOHj00Uf50pe+RHV1Nbqu\nc/z4cRRFweFwGApZp9NJJBLB4XCwdetWent7qauro7e3F5/Ph8fjIZvNkslk+O53v0soFKKjo4MN\nGzawbNky4LRISBjOZDJJKpWSQ3glEomBNJiScaOurs74c21tLffdd98ZP/Ptb3+btrY2Ojo68Hq9\nHDhwAIfDwQc+8AG+//3vs23bNm655Rbuv/9+Xn75ZZYvX05bWxt+v58TJ04wd+5crFYrLpeLcDhM\nPB5n0aJF2O123njjDdatWzfoeMJLjcViAHKuoEQiMZAGU3JO43A4mDx5MpMnTwZg7ty5AKxatYpV\nq1YZP/foo4/S1dWF3W5n8eLF2O12Iw8pcpvf+MY3+Od//mdcLhfZbJYrr7wSt9ud97iJRAKHwyFD\nshKJxECO95K8p+jt7aWjo4NUKsWiRYvy/oyu6zzyyCNs3bqVb33rW2N8hhKJ5FxFGkyJJA+JRIJw\nODwobCyRSN7bSIMpkUgkEkkJyE4/EolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSY\nEolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolE\nIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolEIpGUgDSYEolEIpGUwP8PQWyaYVLOHGEAAAAASUVO\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d.art3d import Line3DCollection\n", "\n", "points = np.hstack([X, y[:, None]]).reshape(-1, 1, 3)\n", "segments = np.hstack([points, points])\n", "segments[:, 0, 2] = -8\n", "\n", "# plot points in 3D\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.scatter(X[:, 0], X[:, 1], y, c=y, s=35,\n", " cmap='viridis')\n", "ax.add_collection3d(Line3DCollection(segments, colors='gray', alpha=0.2))\n", "ax.scatter(X[:, 0], X[:, 1], -8 + np.zeros(X.shape[0]), c=y, s=10,\n", " cmap='viridis')\n", "\n", "# format plot\n", "ax.patch.set_facecolor('white')\n", "ax.view_init(elev=20, azim=-70)\n", "ax.set_zlim3d(-8, 8)\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax.yaxis.set_major_formatter(plt.NullFormatter())\n", "ax.zaxis.set_major_formatter(plt.NullFormatter())\n", "ax.set(xlabel='feature 1', ylabel='feature 2', zlabel='label')\n", "\n", "# Hide axes (is there a better way?)\n", "ax.w_xaxis.line.set_visible(False)\n", "ax.w_yaxis.line.set_visible(False)\n", "ax.w_zaxis.line.set_visible(False)\n", "for tick in ax.w_xaxis.get_ticklines():\n", " tick.set_visible(False)\n", "for tick in ax.w_yaxis.get_ticklines():\n", " tick.set_visible(False)\n", "for tick in ax.w_zaxis.get_ticklines():\n", " tick.set_visible(False)\n", "\n", "fig.savefig('figures/05.01-regression-2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Regression Example Figure 3" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFkCAYAAAD8ADhmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.collections import LineCollection\n", "\n", "# plot data points\n", "fig, ax = plt.subplots()\n", "pts = ax.scatter(X[:, 0], X[:, 1], c=y, s=50,\n", " cmap='viridis', zorder=2)\n", "\n", "# compute and plot model color mesh\n", "xx, yy = np.meshgrid(np.linspace(-4, 4),\n", " np.linspace(-3, 3))\n", "Xfit = np.vstack([xx.ravel(), yy.ravel()]).T\n", "yfit = model.predict(Xfit)\n", "zz = yfit.reshape(xx.shape)\n", "ax.pcolorfast([-4, 4], [-3, 3], zz, alpha=0.5,\n", " cmap='viridis', norm=pts.norm, zorder=1)\n", "\n", "# format plot\n", "format_plot(ax, 'Input Data with Linear Fit')\n", "ax.axis([-4, 4, -3, 3])\n", "\n", "fig.savefig('figures/05.01-regression-3.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Regression Example Figure 4" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABCIAAAGACAYAAAB4PcMRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the model fit\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "ax[0].scatter(X2[:, 0], X2[:, 1], c='gray', s=50)\n", "ax[0].axis([-4, 4, -3, 3])\n", "\n", "ax[1].scatter(X2[:, 0], X2[:, 1], c=y2, s=50,\n", " cmap='viridis', norm=pts.norm)\n", "ax[1].axis([-4, 4, -3, 3])\n", "\n", "# format plots\n", "format_plot(ax[0], 'Unknown Data')\n", "format_plot(ax[1], 'Predicted Labels')\n", "\n", "fig.savefig('figures/05.01-regression-4.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clustering Example Figures\n", "\n", "[Figure context](#Clustering:-Inferring-Labels-on-Unlabeled-Data)\n", "\n", "The following code generates the figures from the clustering section." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.datasets.samples_generator import make_blobs\n", "from sklearn.cluster import KMeans\n", "\n", "# create 50 separable points\n", "X, y = make_blobs(n_samples=100, centers=4,\n", " random_state=42, cluster_std=1.5)\n", "\n", "# Fit the K Means model\n", "model = KMeans(4, random_state=0)\n", "y = model.fit_predict(X)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Clustering Example Figure 1" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAGACAYAAABx1WHyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the input data\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "ax.scatter(X[:, 0], X[:, 1], s=50, color='gray')\n", "\n", "# format the plot\n", "format_plot(ax, 'Input Data')\n", "\n", "fig.savefig('figures/05.01-clustering-1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Clustering Example Figure 2" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAGACAYAAABx1WHyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nv9AAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the data with cluster labels\n", "fig, ax = plt.subplots(figsize=(8, 6))\n", "ax.scatter(X[:, 0], X[:, 1], s=50, c=y, cmap='viridis')\n", "\n", "# format the plot\n", "format_plot(ax, 'Learned Cluster Labels')\n", "\n", "fig.savefig('figures/05.01-clustering-2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dimensionality Reduction Example Figures\n", "\n", "[Figure context](05.01-What-Is-Machine-Learning.ipynb#Dimensionality-Reduction:-Inferring-Structure-of-Unlabeled-Data)\n", "\n", "The following code generates the figures from the dimensionality reduction section." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Dimensionality Reduction Example Figure 1" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFkCAYAAAD8ADhmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nA532xVzn6tbEAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_swiss_roll\n", "\n", "# make data\n", "X, y = make_swiss_roll(200, noise=0.5, random_state=42)\n", "X = X[:, [0, 2]]\n", "\n", "# visualize data\n", "fig, ax = plt.subplots()\n", "ax.scatter(X[:, 0], X[:, 1], color='gray', s=30)\n", "\n", "# format the plot\n", "format_plot(ax, 'Input Data')\n", "\n", "fig.savefig('figures/05.01-dimesionality-1.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Dimensionality Reduction Example Figure 2" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAb4AAAFkCAYAAABfKF6gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.manifold import Isomap\n", "\n", "model = Isomap(n_neighbors=8, n_components=1)\n", "y_fit = model.fit_transform(X).ravel()\n", "\n", "# visualize data\n", "fig, ax = plt.subplots()\n", "pts = ax.scatter(X[:, 0], X[:, 1], c=y_fit, cmap='viridis', s=30)\n", "cb = fig.colorbar(pts, ax=ax)\n", "\n", "# format the plot\n", "format_plot(ax, 'Learned Latent Parameter')\n", "cb.set_ticks([])\n", "cb.set_label('Latent Variable', color='gray')\n", "\n", "fig.savefig('figures/05.01-dimesionality-2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introducing Scikit-Learn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Features and Labels Grid\n", "\n", "The following is the code generating the diagram showing the features matrix and target array." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAdAAAAFCCAYAAABB84xIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQAEAMECAAgBg4P8BcxeynoHUQewAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(6, 4))\n", "ax = fig.add_axes([0, 0, 1, 1])\n", "ax.axis('off')\n", "ax.axis('equal')\n", "\n", "# Draw features matrix\n", "ax.vlines(range(6), ymin=0, ymax=9, lw=1)\n", "ax.hlines(range(10), xmin=0, xmax=5, lw=1)\n", "font_prop = dict(size=12, family='monospace')\n", "ax.text(-1, -1, \"Feature Matrix ($X$)\", size=14)\n", "ax.text(0.1, -0.3, r'n_features $\\longrightarrow$', **font_prop)\n", "ax.text(-0.1, 0.1, r'$\\longleftarrow$ n_samples', rotation=90,\n", " va='top', ha='right', **font_prop)\n", "\n", "# Draw labels vector\n", "ax.vlines(range(8, 10), ymin=0, ymax=9, lw=1)\n", "ax.hlines(range(10), xmin=8, xmax=9, lw=1)\n", "ax.text(7, -1, \"Target Vector ($y$)\", size=14)\n", "ax.text(7.9, 0.1, r'$\\longleftarrow$ n_samples', rotation=90,\n", " va='top', ha='right', **font_prop)\n", "\n", "ax.set_ylim(10, -2)\n", "\n", "fig.savefig('figures/05.02-samples-features.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hyperparameters and Model Validation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cross-Validation Figures" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def draw_rects(N, ax, textprop={}):\n", " for i in range(N):\n", " ax.add_patch(plt.Rectangle((0, i), 5, 0.7, fc='white'))\n", " ax.add_patch(plt.Rectangle((5. * i / N, i), 5. / N, 0.7, fc='lightgray'))\n", " ax.text(5. * (i + 0.5) / N, i + 0.35,\n", " \"validation\\nset\", ha='center', va='center', **textprop)\n", " ax.text(0, i + 0.35, \"trial {0}\".format(N - i),\n", " ha='right', va='center', rotation=90, **textprop)\n", " ax.set_xlim(-1, 6)\n", " ax.set_ylim(-0.2, N + 0.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 2-Fold Cross-Validation" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAGqCAYAAACh7ojYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nnOjGf5sKAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_axes([0, 0, 1, 1])\n", "ax.axis('off')\n", "draw_rects(2, ax, textprop=dict(size=14))\n", "\n", "fig.savefig('figures/05.03-2-fold-CV.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 5-Fold Cross-Validation" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl0AAAGqCAYAAAAx/fEXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nwACiCwAAwACiCwAAwACiCwAAwID/A+awRviS8pn9AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_axes([0, 0, 1, 1])\n", "ax.axis('off')\n", "draw_rects(5, ax, textprop=dict(size=10))\n", "\n", "fig.savefig('figures/05.03-5-fold-CV.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Overfitting and Underfitting" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "\n", "def make_data(N=30, err=0.8, rseed=1):\n", " # randomly sample the data\n", " rng = np.random.RandomState(rseed)\n", " X = rng.rand(N, 1) ** 2\n", " y = 10 - 1. / (X.ravel() + 0.1)\n", " if err > 0:\n", " y += err * rng.randn(N)\n", " return X, y" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.preprocessing import PolynomialFeatures\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.pipeline import make_pipeline\n", "\n", "def PolynomialRegression(degree=2, **kwargs):\n", " return make_pipeline(PolynomialFeatures(degree),\n", " LinearRegression(**kwargs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bias-Variance Tradeoff" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABCYAAAF9CAYAAADY2mmsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAGkUEwAAAECaL44a1wDqBaGbAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X, y = make_data()\n", "xfit = np.linspace(-0.1, 1.0, 1000)[:, None]\n", "model1 = PolynomialRegression(1).fit(X, y)\n", "model20 = PolynomialRegression(20).fit(X, y)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "ax[0].scatter(X.ravel(), y, s=40)\n", "ax[0].plot(xfit.ravel(), model1.predict(xfit), color='gray')\n", "ax[0].axis([-0.1, 1.0, -2, 14])\n", "ax[0].set_title('High-bias model: Underfits the data', size=14)\n", "\n", "ax[1].scatter(X.ravel(), y, s=40)\n", "ax[1].plot(xfit.ravel(), model20.predict(xfit), color='gray')\n", "ax[1].axis([-0.1, 1.0, -2, 14])\n", "ax[1].set_title('High-variance model: Overfits the data', size=14)\n", "\n", "fig.savefig('figures/05.03-bias-variance.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bias-Variance Tradeoff Metrics" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABCYAAAF9CAYAAADY2mmsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMAEAAAAAACzz/wHBdPoar16gEwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "X2, y2 = make_data(10, rseed=42)\n", "\n", "ax[0].scatter(X.ravel(), y, s=40, c='blue')\n", "ax[0].plot(xfit.ravel(), model1.predict(xfit), color='gray')\n", "ax[0].axis([-0.1, 1.0, -2, 14])\n", "ax[0].set_title('High-bias model: Underfits the data', size=14)\n", "ax[0].scatter(X2.ravel(), y2, s=40, c='red')\n", "ax[0].text(0.02, 0.98, \"training score: $R^2$ = {0:.2f}\".format(model1.score(X, y)),\n", " ha='left', va='top', transform=ax[0].transAxes, size=14, color='blue')\n", "ax[0].text(0.02, 0.91, \"validation score: $R^2$ = {0:.2f}\".format(model1.score(X2, y2)),\n", " ha='left', va='top', transform=ax[0].transAxes, size=14, color='red')\n", "\n", "ax[1].scatter(X.ravel(), y, s=40, c='blue')\n", "ax[1].plot(xfit.ravel(), model20.predict(xfit), color='gray')\n", "ax[1].axis([-0.1, 1.0, -2, 14])\n", "ax[1].set_title('High-variance model: Overfits the data', size=14)\n", "ax[1].scatter(X2.ravel(), y2, s=40, c='red')\n", "ax[1].text(0.02, 0.98, \"training score: $R^2$ = {0:.2g}\".format(model20.score(X, y)),\n", " ha='left', va='top', transform=ax[1].transAxes, size=14, color='blue')\n", "ax[1].text(0.02, 0.91, \"validation score: $R^2$ = {0:.2g}\".format(model20.score(X2, y2)),\n", " ha='left', va='top', transform=ax[1].transAxes, size=14, color='red')\n", "\n", "fig.savefig('figures/05.03-bias-variance-2.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Validation Curve" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFwCAYAAACCbrOvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xd8FNX+//HX7G6yKQQSQgiBhNAJvYqAFFF6EfALIiII\nwgWuKCg/BeViAS4oggIRBFTAi4KXIkWKdKmX3lU6SC8hvW+Z+f0xZiEkQEiyqZ/n47GPsLPJnJPJ\nknfOmVMUTdM0hBBCCJFnGHK7AkIIIYRITcJZCCGEyGMknIUQQog8RsJZCCGEyGMknIUQQog8RsJZ\nCCGEyGMknEWu6d+/P61atXro62fOnCEkJIQ1a9Zk6HzLli0jJCSEuLg4AF555RXefPPNh36+3W4n\nJCSEhQsXZrjOFouFCRMmsH37dsexli1b8umnn2b4HFn1888/06dPH55++mkaNWrEyy+/zLp163Ks\n/Mw6efIkw4YNo3HjxtSqVYvWrVszceJEIiIiMnyOvXv3EhISwunTp51Y06yZOXMmS5YscTx/3PtQ\niPSYcrsCovDq1q0bH3zwAceOHaNu3bppXl+zZg1eXl60bds2w+dUFMXx7wkTJmAyZe9b/NatWyxa\ntIimTZs6js2dO5dixYplaznpsdlsDBs2jP3799O7d28GDx6M0Whk+/btvPvuu/z++++MHj3a6fXI\njN9//50+ffrw7LPPMnHiRLy8vLh48SJz585l165drFy5End39wyd6/6fcV5jt9uZOXMmY8aMcRxz\nxvtQFHzyjhG5pl27dowfP57169enG87r16+nQ4cOmM3mTJ2/YsWKWa1iGumt2RMSEpLt5aRn1qxZ\n7N69m3nz5tG4cWPH8WbNmlGiRAlmzJhB+/btqVOnTo7U50ksXLiQ8uXLExoa6jjWqFEj6tatS/fu\n3Vm7di09e/bMxRpmj/TeH854H4qCT7q1Ra5xd3enbdu2bNiwIc1rBw8e5ObNm3Tr1s1x7NixYwwa\nNIinnnqKWrVq0aFDB5YtW/bQ8/fu3TtVd+LFixd5/fXXqVevHu3atWPPnj1pvuZRZVy5coV27dqh\nKArDhg3j9ddfB6BFixapurWvXr3K8OHDadq0KQ0aNODNN9/k6tWrjtenT59Or169WLNmDe3ataN2\n7dr07NmT48ePP/R7sVgsLFq0iNatW6cK5hT9+/enT58+jlbltGnTeOqpp1J9zu+//05ISAhHjhwB\n4L333mP48OG888471KtXj+HDh9OqVSvGjx+f6uuioqKoWbMmq1atAiA+Pp5x48bxzDPPUKdOHV57\n7bXHdjOHh4c/9A+b0aNHU7ly5VTlffDBBzRt2pSGDRsyaNAgzp8/n+rr/vjjD3r37k3t2rVp06YN\nK1asSPX63bt3effdd2nUqBH16tVj2LBh3Lhxw/F6ys9g5cqVtGnThrp16zJw4EDu3r3LokWLePbZ\nZ3nqqacYPXo0FovF8XUXL15k+PDhNG7cmJo1a/L8888zZ84cQG8116xZE0VRmDRpEu3atQPSvg8z\n8v0JIeEsclW3bt0ICwvj0KFDqY6vWbOGsmXLUr9+fQCuX7/Oa6+9RrFixQgNDWXWrFkEBwfz0Ucf\nceHChXTPfX/3Z2xsLH379iUmJoZp06YxaNAgPvjgg1Sf87gyAgICmDFjBpqmMWrUKMaOHZumnJs3\nb9KjRw+uX7/O+PHjmTRpEpcvX6Z3796p7q2eP3+eWbNmMWLECL766isSEhJ455130g0wgBMnThAT\nE0OLFi3Sfd3NzY2xY8dSu3ZtR53S6/598Ni2bdswmUx8/fXX9O3bl44dO7J58+ZUn7Nx40ZMJhNt\n27ZF0zSGDh3Kpk2bGDlyJKGhoZhMJvr27Zsq/B7UokULzp49S9++fVm5cmWqz+3fv7+j58Rms9Gv\nXz/27t3LqFGjmD59OvHx8bz++uuOsQSapvHpp5/SuXNn5s6dS8WKFRk7dqzjfZCYmMirr77KiRMn\n+OSTT5gyZQo3b97k1VdfdZwD4Ny5c8yfP58xY8Ywfvx4jhw5wquvvsqaNWsYP348w4YNY/Xq1fz4\n448AxMXF0bdvX+Li4pgyZQrffvstjRo1Yvr06ezatQuj0cjixYvRNI3+/fs7egnuv+YZ+f6EAOnW\nFrmscePGBAQEsG7dOho2bAiA1Wpl48aNDBgwwPF5586do2HDhkydOtXxy65mzZo0bdqUQ4cOPbbr\ncPny5cTGxrJ69WpKlCgBQJEiRXjnnXeeqIxq1aoBEBwcTIUKFdKUM2/ePFRV5fvvv8fLywuAhg0b\n0rp1axYsWMD/+3//D4CEhASmT5/u6BK3WCwMHz6cs2fPUrVq1TTnvX37NoqiULp06Qxc1Yd7MPxV\nVWXcuHF4eHgA4OXlxfz58zl06JDj57FhwwZatmyJh4cH27dv59ChQ/zwww+O15s1a0aHDh2YM2dO\nmlZ3in79+nHnzh0WLlzIoUOH0DSNwMBAnn/+eQYOHEjJkiUB2Lp1K+fOnWPJkiWOPzRCQkLo1asX\nf/75p+N8b775Jn369AGgatWqNG3alAMHDlCxYkVWrFjBtWvX+PXXXwkKCgL099mzzz7L4sWLGTx4\nMKCH+Oeff+74mW7dupXNmzezcOFCSpYsSYsWLdiwYYOjR+PSpUtUqFCB6dOnU7RoUcd5N27cyMGD\nB2nevLnjlkLp0qXT/Tk+7vtr1KhRBn+SoqCTlrPIdV26dGHTpk2O4NixYwexsbF07drV8TnPPvss\n8+bNw2q1cvr0aTZs2MC3336Loiipuh0f5ujRo4SEhDiCGaBNmzapWjVZLQPg8OHDNGnSxBHMAL6+\nvjz99NMcPHjQcczV1TXVvWp/f39AD4z0GAz6f9Xs3qemRIkSjmAGPSgqVKjguNUQERHBgQMH6NKl\nCwD79+/H09OTevXqYbfbsdvtaJpG06ZN2bdv30PLURSF9957j507dzJx4kQ6depEUlISCxcupFOn\nTpw6dQrQbyt4e3s7giuljlu3bnUEl6IoqcYoFC9eHDc3N2JjYx11rFChAqVLl3bU0c3Njfr167N3\n717H1xmNRkcwp5RTokQJxx8KAN7e3o7z1qpVix9++AEPDw/Onz/Pli1bCA0NRVXVDL8/MvL9CQHS\nchZ5QPfu3Zk7dy779u2jSZMmrFu3jkaNGhEQEOD4HLvdzqRJk1i+fDk2m42goCBHyy0jgRUdHY2P\nj0+qYyaTCW9v72wrI6Wc9Aa3lShRgmvXrjmePzjIzWAwoGkaqqqme94yZcqgadoju45v377tCPmM\n8vX1TXOsc+fOLF68mLFjx7Jx40Y8PDwc3elRUVHExcVRo0aNVF+jKApubm6PLc/Hx4cXX3yRF198\nEdC71UeNGsXnn3/OggULiIqKSrdOD3qwLEVRHNcuKiqKs2fPplvHSpUqOZ7f/0dJiseNGJ81axYL\nFiwgPj6eMmXKUL9+fUwmU4bfHxn9/oSQcBa5rly5ctStW5f169dTu3ZtfvvttzTdozNnzmTlypV8\n8cUXNG/eHLPZTFxcHMuXL89QGd7e3ly/fj3VMU3THK2i7CgjpZzw8PA0x+/evZvqD4EnVaNGDYoV\nK8auXbvo0aNHmtctFgsdO3akc+fOjBs3LlVYpUhISMjQNKTOnTsTGhrK4cOH2bhxI61bt8bV1RXQ\nu71LlizJnDlz0gTSw859/fp1evXqxSeffELr1q1Tvfbcc8/RrVs3Nm3a5Dh/evOe9+3bR3Bw8GPr\nnnKOGjVqMGHChDR1zOzIf9BvjcycOZMJEybQoUMHPD09AXj66aczfI7HfX/3/0EqCjfp1hZ5Qteu\nXdm2bRvbt2/HaDSmmdt8/PhxateuTevWrR2/YHfu3AlkrFX79NNPc/r06VSt1127dmGz2Z6ojJTu\n5YdJ6Tq9P/TDw8PZv38/DRo0eOTXPio4jUYjffr0YcuWLezfvz/N63PnziUhIcHR/VykSBESEhJI\nSEhwfM793eqPEhQURO3atVm9ejWHDh2ic+fOjtcaNGhAeHg4RYoUoUaNGo7HypUrH7pYTEpr/scf\nf0y3Z+DSpUtUqVIFgHr16hEZGcmJEyccr0dGRvKPf/wjVZf0ozRo0IBr164RGBiYqo7z5s1jx44d\nGTpHeo4fP05gYCA9evRwBPOJEyeIjo7O8PsjO74/UThIOIs8oVOnTsTGxhIaGkq7du3SdFvWqlWL\nI0eOsHjxYg4ePMi3337L2LFjMRgMJCUlPfb8L774IqVLl2bo0KFs3ryZVatW8dFHH6VaHCIjZaQM\nBNqzZw9nzpxJU86AAQNQFIXXXnuNzZs3s3HjRl5//XXc3d159dVXH1nHx/2RMXjwYOrWrcuQIUOY\nMmUKu3fvdnQLz549m8GDBzu64Vu0aIGqqowZM4b9+/czf/58li5d+tjrlKJTp078/PPPeHt7p1pw\npXXr1oSEhDBo0CBWrVrFvn37+Pjjj1m0aFGq6VD3M5lM/Otf/+LAgQO88sorrFq1ikOHDrFlyxaG\nDRvG4cOHefvttx3nr1KlCm+//TZr1qxhx44dvPnmm5QuXZr27dtn6Dq99NJLeHp60r9/fzZs2MD/\n/vc/hg8fzqZNm6hevXqGr8GDatWqxbVr15g9ezYHDx5k8eLFvPHGG6neH4qiUKRIEQ4dOpQqgO+/\nfo/7/oQA6dYWeUTRokVp1aoVmzZtYuLEiWleHzp0KOHh4Xz11VdYrVaCg4MZN24cK1as4OjRow89\nb0pr1M3NjR9++IHx48czevRovL29effdd1OVlZEyihYtysCBA1m8eDHHjh1jxYoVqaYtlSlThsWL\nF/P5558zevRoTCYTjRs3ZubMmfj5+aWpV3p1fRg3NzcWLFjAwoULWbduHUuXLsVgMFCpUiVmzJhB\nmzZtHJ9buXJlJkyYwNy5cxk8eDB16tQhNDSUl19+OUNlduzYkc8//5z27dun+hyj0ciCBQuYOnUq\nU6ZMIT4+nnLlyjF58mReeOGFh9a9Q4cO+Pv7M3/+fL744guioqIoWrQoDRs2ZPny5Y57wS4uLnz/\n/fdMnjyZf//734C+WMnnn3/uuEf8sGuXcrxIkSKOn8HHH3+M1WqlSpUqzJ49myZNmmT4ej+oZ8+e\nXL58mcWLF/PNN98QGBjI4MGDOX36dKr34PDhwwkNDeXgwYOO1nBKWRn5/oQAULTsHv4phBBCiCyR\nbm0hhBAij5FwFkIIIfIYCWchhBAij5FwFkIIIfKYPBPOMi5NCCGE0OWZqVSKohAWFvv4TxSZ5ufn\nJdc4B8h1dj65xs4n1zhn+Pl5pXs8z7SchRBCCKGTcBZCCCHyGAlnIYQQIo+RcBZCCCHyGAlnIYQQ\nIo+RcBZCCCHyGAlnIYQQIo+RcBZCCCHyGAlnIYQQIo+RcBZCCCHyGAlnIYQQIo+RcBZCCCHyGAln\nIYQQIo+RcBZCCCHyGAlnIYQQIo+RcBZCCCHyGAlnIYQQIo+RcBZCCCHyGAlnIYQQIo+RcBZCCCHy\nGAlnIYQQIo+RcBZCCCHyGAlnIYQQIo8x5XYFhBBCiPxA08Bq1R82G9hsCna7ftxuv/dQVbDblVTP\nU75e0+79W1Ggdev0y5JwFkIIUaBpGiQn64+kJOWBj5CcrJCUpB+zWMBi0YNX/6g/t1oVrNbsr5uE\nsxBCiALDZoO4OEhIUEhISPmo/zs+/v5jkJioOFqv+YWEsxBCiDwjpZUbF6cQG5vy8cF/KyQm5nZN\nnUvCWQghRI6yWiE6WiEmBqKiFKKiFGJi9I/R0Xp3c2En4SyEECLbWa0QGakQEXHvER2tEB2tt4DF\no0k4CyGEyBRNg9hYHOEbGakQHq5/jIlRHCOTxZOTcBZCCPFYiYkQFqZw967+CAszcPeudEE7i4Sz\nEEIIB1WFu3cVrl+Hs2eNfwexIl3ROUzCWQghCim7XQ/i27f1x61bBsLCFGw28PSE+Hhjblex0JJw\nFkKIQkBV9W7pmzdTwlgPYrs9t2uWv5hM4OICLi4aJhMYDGA06g+DQUv1XD+mPxQl5aGh/N0JYXzE\n3z4SzkIIUQDFxcHNmwZu3NAD+eZNg1NWuMovTCZwc9Mwm8HNDcxmDTe3e8fMZg13d3B1BVdX7e8A\nTv1vFxc9aHOkvjlTjBBCCGex2+HOHYUbNxRu3DBw86Y+Z7igc3ODIkU0PD01PDxwfPTw0P5+4Pjo\n4oKjxZofKJomg92FECI/sdng+nW4fFl/XL2qr/9cUCgKFCkCRYvqDy+ve/++/5iLS27X1HnyVDiH\nhcXmdhUKND8/L7nGOUCus/MVtmtsscCNGwpXrxq4dk3vorbZnFump6eZ+HjnzZNycwNvb41ixVI/\nvL01ihbVu6ELAz8/r3SPF5JvXwgh8g+bTQ/jy5cNXL5s4Nat/LdxA+gB7OOjUbz4vUdKILu55Xbt\n8jYJZyGEyGWapt8zvnxZD+Rr1/LP4C1F0VvA9wdw8eIaPj4anp756z5vXiLhLIQQuSA6GkfL+K+/\nDPlilyUPDw0/v3uPEiU0fH01XF1zu2YFj4SzEELkALsdrl1TuHjRwMWLBsLD826T0mAAf3/w8FAp\nWVJ1BLGnZ27XrPCQcBZCCCeJi4NLl/Qw/usvQ55ch9pohBIlNPz9Vfz9NUqV0oO4dGkzYWFOHnUm\nHkrCWQghsommwc2bChcu6IF8+3beax37+mqULq1RurQexiVKaIVmZHR+Ij8SIYTIApsNrlxROH/e\nwLlzBuLj804gu7lB6dIqpUtrBASoBATIKOn8QsJZCCGeUHIyXLxo4Px5vYWcV7qrfX01AgPVv1vG\n+qhpGS2dP0k4CyFEBsTFwYULeuv48mVDrm8YoSjg56cRFKQSGKiHsgzYKjgknIUQ4iHi4+HcOQOn\nTxu4etVAbq6naDBAqVJ6CAcFqZQpI13UBZmEsxBC3CchAc6fN3DqlB7Iubkyl6+vRrlyKsHBKkFB\n+u5JonCQcBZCFHqJiXognz6td1nnViAXKaIRHKwRHKxSrpxKkSK5Uw+R+ySchRCFks2mB/Kffxq4\ndCl37iGbTFC2rB7E5crpq23JAC4BEs5CiEJE0+DqVYU//zRw5owxV0ZZFyumUaGCSoUKKmXLagV6\n20OReRLOQogCLzxc4Y8/9PvI0dE52zQ1GCAwUP07kKV1LDJGwlkIUSDFx8Pp0wb++MPIrVs5m4Zu\nblCxokqlSnqXtQzkEk9KwlkIUWCoKvz1l8KJE0bOn8/ZgV1eXhqVK+uBHBSkYTTmXNmi4JFwFkLk\ne1FRcPKkkd9/NxAbm3OtZF9fPZCrVNHXqZbuapFdJJyFEPmSzQZnzxo4ccLAlSuGHCvX31+jalWV\nKlXsFC+eY8WKQkbCWQiRr9y5o3DwIOzd60pSUs6U6eenERKiUrWqBLLIGRLOQog8z2aDM2cMHD9u\n4No1A56eOD2YfX1TAlmlRIlcXLdTFEoSzkKIPCsqCo4fN3LypIGEBOff0PXx0ahWTQ9kPz8JZJHa\nzZs3CAgonSNlSTgLIfIUVYVLlxSOHTNy8aLzN5twc4Nq1exUr65vtSiDukR6bt26xRtvDOLHH5fi\n6en8dVUlnIUQeUJCApw4YeT4cecvFGI0QqVKKtWr64uDyLQn8SiqqjJx4sfcvRvGlCmf8sknE51e\npoSzECJXhYUpHD5s4M8/jdhszi0rKEgP5CpVVNzdnVuWKDimTZuCq6sZRVFISkrk+++/o3//QU4t\nU8JZCJHjNA0uXlQ4dMjI5cvOnQZVtKhGzZoqNWva8fZ2alGiAPrqqy9p3LgpFSpUpFevbkyYMJkt\nWzayePEPvPJKX6eVK+EshMgxFgv88YeBw4eNREQ4r+vaaITKlfVALldOw5Bz06BFAfPqq/3x8SnO\nrVs3Hcc6dOhMRES4U8uVcBZCOF1MDBw5YuTECaNTp0CVKKFRq5Y+uMvT03nliMLDxyf9ie3Fi/s6\ntVwJZyGE09y+rXDggJEzZ5y3zrWrqz7aulYtlYAAGW0tCgYJZyFEttI0uHxZD+W//nJef7Kfn0a9\nenor2dXVacUIkSsknIUQ2UJV9bWuDxxw3haNRiNUrarSujWYzVZpJYsCS8JZCJElVqs+yOvgQSOR\nkc5Jy2LFNOrUUalVy46nJ/j5QViYU4oSIk+QcBZCZEpSEhw9auTwYecsrakoUKGCSr16MuJaFD4S\nzkKIJ5KQAIcPGzlyxEhycvaf32yGWrXs1Ktnx8cn+88vRH4g4SyEyJD4eDh40MixY0Ysluw/v7e3\nRv36+qhrszn7zy9EfiLhLIR4pLg4OHDAyPHjRqzW7D9/2bIqDRqoVKyoSte1EH+TcBZCpCsmRg/l\nEyeyf81roxFCQlQaNrTj7y9bMwrxoDwVzn5+XrldhQJPrnHOyM/XOToadu2Co0fBbtfvAWdXN7Ob\nGzz1FDRqBF5ZvET5+RrnF3KN77FYYgAoUaIIrjkwsT5PhXNYWGxuV6FA8/PzkmucA/LrdY6Lg337\n9O5ruz17z+3lpdGwoZ3atfX7yUlJZGkZz/x6jfMTucapRUTEA3D3bhwuLi7Zdt6H/QGUp8JZCJHz\nEhJg/34jR49mf/e1r69Go0b6Kl6yZ7IQGSfhLEQhlZSkj74+fDj7R18HBqo0amSnYkVZ61qIzJBw\nFqKQsVj0HaIOHMj+HaIqVdJDOTBQBnkJkRUSzkIUEjYbHD1qYN8+E4mJ2XdeRdHXu27c2E7JkhLK\nQmQHCWchCjhV1de+3rPHSExM9vUxK4o+HapJEzslSkgoC5GdJJyFKKA0DS5dUtixw0RYWPaFssEA\n1aurNG5so3j6+9ALIbJIwlmIAujmTYUdO4xcuZJ9S24ZjVCjhp3Gje14e2fbaYUQ6ZBwFqIAiYyE\nXbtMnD6dvaFcq5YeykWLZttphRCPIOEsRAEQHw979+qbUqhq9pxTUaBmTZUmTWzSUhYC0LScG1sh\n4SxEPmazwaFDRvbty765yikDvZ55Ru4pC5GiVKkAdu06mGPlSTgLkQ9pGpw5Y2DHDiPR0dk32KtK\nFZWmTWVKlBC5TcJZiHzm1i2FbduMXLuWffeVK1RQadbMTqlSEspC5AUSzkLkE3FxsHOnid9/z75Q\nDgpSad5cVvQSIq+RcBYij7Na9TWw9+83YrVmzzlLlNBo2dJGhQqy9rUQeZGEsxB5lKbBqVMGdu7M\nvpW9vLw0mjWzU6OGiiH7GuBCiGwm4SxEHnTnjsLWrUauXs2eBHVzg0aN7DRoYCcbt6IVQjiJhLMQ\neUhSEuzZo++tnB3zlY1GqF/fztNP2/HwyPr5hBA5Q8JZiDxA0+D33/WpUQkJ2dOFXb26SvPmNooV\ny5bTCSFyUIEMZ5vNxoED+zAYDDRs2AiTqUB+m6KAuH1bYcsWE9evZ08oBwaqPPecTIsSIrvcvXuX\n27dvERxcDrPZjNFoxODkQRv5PrUsFgszZkzlxo3rTJs2C4vFwtChAzh//hwAwcHlCA2dg4+PLHUk\n8pbERNi9W19yMztWBSxWTOPZZ+1UqaLKCGwhssGJE8eYPn0q58+fBWDatFnY7XY+/XQ8b775Ds8/\n38ZpZef78ZoLFnzLL7+sxN+/FAAbNqzj3Lmz9OjRiw8++Ijw8HC++25OLtdSiHs0DU6cMPDdd64c\nPZr1YHZ1hRYt7AwcaKVqVQlmIbLDqVN/8Pbbw0hISKBnz96O40WLFsVkMjF+/Fj27t3jtPLzfct5\n27bNdO7cldGjxwKwffs2PD2L8MYbIzCZTNy4cZ01a1bx3nu5XFEhgLAwhU2bsqcLW1H03aKaNbNT\npEg2VE4I4fDtt7MpXbo08+b9QGJiEkuXLgYgJKQ633+/mH/+cyA//LCAJk2ecUr5+T6cw8LuUKNG\nLQCSkpI4duwITZs2c9xn9vf3JzY2JjerKARWK/zvf0YOHsyeUdhly6q0amXH31/uKwvhDL//fpL+\n/QdiNruRlJSU6jVPzyK88EJ3vvturtPKz/fh7ONTnIiIcAD27/8fVquFpk2bOV4/f/48JUr45Vb1\nhODiRX3AV1RU1lvLxYpptGplp3Jl6b4WwtlcXFwf+prFYkHTsml/1nRkOpxjY2Px8vLKzrpkSv36\nDVm69CdcXV1ZsWIZbm7uNG/+LLGxsaxbt5pffllJt24v5nY1RSEUFwfbtpk4fTrrQztMJnj6aTuN\nGskiIkLkhOrVa7B58wZ69nw5zWuJiYmsWbOKkJAaTis/U781IiIi6NOnT5qmfm4YPvz/UalSZWbN\nmkFUVBSjR/8LLy8vLl26wKxZM6hevQYDBgzO7WqKQkRV4ehRA/PmuWZLMFeqpPL66xaeeUaCWYic\nMmjQUM6dO8Obbw7m11/XoigKf/75O8uW/Zf+/Xtz48Z1XnvtdaeVr2jak40VtdvtDB48mD179tCp\nUye++OKLbKtMWFhspr82MjKSIkWK4PL3b6/ExEQuXrxAjRo1s6t6+Z6fn1eWrrF4vNu3FfbtK8KZ\nM8lZPpePj8bzz+ubU4jU5L3sfHKN4eDBfUyZ8ik3b95IddzXtwRvv/0uzz77fJbL8PNLvwf6icLZ\nZrMxZ84cnn/+efr168d3333H3r17GTp0aJYrCFkL50eJjIzEx8fHKefOT/LbfzZVJc3mDJpGnrzX\narPpA74OHDDi7m4mPj7z4eziAo0b23nqKTuyfk768tt7OT+Sa6zTNI2zZ89w/fo1VNVOqVKlCQmp\nlm2LWz0snJ/o7ElJSbz22mt4eXlhMpmoU6cOAQEBWCwWXF0ffuPc2VatWs7+/XtJSEhMdYPebreT\nkBDPpUsX2b59X67VTzw5m02/z2qxwI0bCtHRCpUqqXh65nbN0rp+XWHDBhPh4Vn/q6FqVZVWrWwU\nLZoNFRNCZMmtW7dYuXIZffq8RtWqIQD8+OP3bN++lT59+jl1casnCuci6UymLFmyZLZVJjMWLfoP\nc+bMxMXFFU9PT6Kjo/DzK0lMTDRJSUmYzWZ69Eh7Q1/kXaqqB3NcHLz6qjtXrhiIjFTw9tZ44w0L\nbdrYKFcu97t6LRbYtcvIkSNZX0jE21ujdWvpwhYir7h48TxvvTWEuLg4WrduR9G//2KOjY1lxYpl\nbNmyka/yEh53AAAgAElEQVS//o7Spcs4pfx8v0LY+vVrqFy5CmvXbmLOnPlomkZo6Bw2bNjOyJGj\nsVgsct85nzEY9N2ZXnzRA6MRPvkkmZ9/TqBbNxtjx5qZPt2V2Fzubbt0SWHBAhcOH85aMBuN0KSJ\nnQEDrBLMQuQhc+bMxMPDkx9/XEblylUcx//5z7f44YcluLi4MHv2V04rP9+H882bN2nfvhMeHp6U\nKROIl1dRTpw4htFopHv3Hjz3XBuWLv0pt6spntDJkwbCwxXefttC58426tfXd1gCaNvWzo0bBhIS\ncr5eiYnw668mli1zITo6a93YgYEqr71mpXlzGYUtRF7zxx8neemlVwgKKpvmtTJlAnnxxZc4duyI\n08rP9+FsMpnwuG+j2sDAIMemF6DPg7569UpuVE08AZueu47Vs27dMnDtmkLNmnYMBliyxETv3u68\n/76F8uVV3nnHjatXc/bte+6cgfnzXTh5MmvlurlB+/Y2eve2UaKEtJaFyIvsdpXk5IdPF9Y0jeTk\nrM/KeJh8H87BweU4efKE43nZssGcOXPK8Tw2Ngar1ZIbVRMZpGn37jG/+66Zs2cNVKqkUry4xpYt\nJlasMDF8uBtjxlh45x0Lvr4ax44ZOHYsZ96+CQmwZo2JlStNxMdnrbVco4bKwIEWateWFb6EyMtq\n1qzF6tUriU3nHlpCQgJr166ienXnLUKS7ydqdOrUhS++mIzVauW998bQrFkLPvzwfebP/4bg4PIs\nXfoTlSpVefyJRK5IGZVts0H//u6EhyuYzRaKFdOoUEHj44/NxMQofPCBhREjLKgqnD5toGRJjeBg\n57c6z59X2Lgx66FcvLg+4CsvDGQTQjzegAGDeeutwfTr14s2bdoTGBiEoihcv36NLVs2EhERzpgx\nHzut/Hwfzt269eDOnTusWLEUk8lEy5bP0bRpMxYs+BYAT09P/vnPt3K5luJhTCaIj4evvnLF3R3G\nj092hO5XXyXSrZsHRYtqlCqlEhsLJ04YmTLFlfLlVRo1sjutXklJ+tKbv/+etda5waAvu9mkicxZ\nFiI/qVGjJtOmzWLmzOn89NMPqV6rVKkyY8Z8TM2atZ1W/hOvEJaiSZMm7N27N7vrk2k2my3VpPCD\nBw8SHR1NvXr18PX1zcWaicc5cQLq1tX//eWX8Pbb9147dw5efRVu34YbN6BcOShZEn77TV+sw27X\nRzxnpwsXYPVqiMniZmYBAdC1K5QqlT31EkLkjoiICK5fv46qqgQEBOTIFOI8Fc6yGo1z5ZUVf9Jb\n+evECQNdu3pQqpTG5MlJtGhxr1UcEQHXrxs4e9ZA2bIqDRqoGAz3usSzi8UC27cbOXYsa2lfrJiZ\nOnUSaNTInub7FNkjr7yXCzK5xjkjW1YIywt69uzKiBEjadaspeP54ygKLF262tlVExlw/z3mW7cU\nkpKgaFGoXVtl5coEunb14MsvXfH0TKZBA33odvHiULy4Sq1a96/+lr3BfOWKvspXVrd1DApS6dMH\nVNV5Xe5CiJyxb9//2Lz5V8LDw1HT2YhdURRmzJjtlLLzXTiXKlUKNzd3x3N/f38UGfaaL6QEalwc\n/OMf7ly6ZODuXYUiRTRGjUrmlVdsrFmTQJcuHkyYYGbs2GQaNtT/Qzy4pnZ2dWVbrfoqX1ldTMTV\nFVq2tFG3roqvL4SFZU/9hBC5Y8WKZUyfPgUAH5/iOb5EtXRrFyJ5oZsqMRE6dfKgSBGNl16yYTRq\n/PabiV9+MTFihIUPPrBw+LCBF1/0oGFDO+++a6FJE+e0Qm/fVli7NutrYpcvr9K2rY1ixfTneeE6\nF3RyjZ2vsF/jl19+EQ8Pd6ZODaV4ceeNWyow3doZERcXh8Gg4OGRB3dJKOS2bDGhafDpp8nUqKG3\ninv3tlGpkivTprlSubJKjx42li9PoHNnD6pUMWV7OKsqHDhgZM8eI/YsnNrNDZ57zkaNGjJnWYiC\n5s6d2wwfPtKpwfwo+TKcNU1j3749XLp0kTJlAnnmmRaYTCYOHz7ItGlTuHLlLwAqV67KkCHDaNSo\nce5WWDhcumTg9m2FMmX0YE4ZHDZqlIXTpw1MnGimZUs7Tz2lsnNnAhUrpr3PkxUxMbB+vYkrV7I2\nUqtCBZX27W2ksxeMEKIAKFOmDJGREblWfr4L59jYWN57bwR//vk7KT3yISHVGDlyNO+9NwKz2Y3m\nzVuiqhpHjhzkvfdGMH3619Sr1yCXa174pDfNyWzWsFoVbt0y4O2ttzhT7ie3bGlnxw4TMTHg56dv\nnwjZNyr71CkDmzebSHr4inyPZTZDq1Y2atWS1rIQBVnfvgOYMWMqLVs+R4UKFXO8/Ez/ysvkreos\nmzdvDufPn2XkyFHUr9+Q27dvMWPGFwwfPpTAwCBmzvyGokX1m38REeEMGTKA//73RwnnHJYSqElJ\nsHu3kehohZAQlV69rMyc6crkya7Mm5eUZqpRmTJp92zOajAnJend6X/+mbXWctmyKh063Lu3LIQo\nuE6cOIa7uwcDBrxCUFAw3t7eGB74hZUnR2t//fXX2VmPDNuzZxddu/4f3br1AKBs2XKMGPEuI0e+\nyYsvvuQIZoDixX3p0qUby5cvyZW6Flb378fcpYsHNhucPWugUSM706Yl8eGHyYwa5caAAW6MGmXB\n31/jxg2FxYtdqFRJxd8/+/7wu3pVYf16U5Z2kHJx0Udi16snrWUhCov9+/eiKAolS/qTnJzE7du3\ncrT8TIdz/fr1s7MeGRYefpfy5cunOla+vN7lUKpUQJrP9/cvRUxMdI7UTegMBn2K0qBB7hQrpjFp\nUjJms0ZiokKlShqlStkwGpOYONFMly4emM0axYpB0aIac+cmoSjpL1TyJOx22LPHyP79WZsiVaaM\nRocOVooXz/w5hBD5z7Jlv+Rq+fnunrPVasXV1S3VMRcX098f026KqyhKupPHhXPduKFw5YrCiBEW\nqldPuf56SsbHK2gabN8ez08/uZCcrODvr4/SNhqzfo85KgrWrHHh5s3MN3ONRmjWzM5TT8kqX0KI\n9EVGRuLj4+OUc+e7cBb5g9Wq78lss6UOSJsNjh0z8MknZurUURkyxJrq9ayu/HXqlIFNm0xkZZvV\nkiU1OnWy4ecnO0gJUZitWrWc/fv3kpCQiKbdv0KhnYSEeC5dusj27fucUna+DOeYmChu3brX/x8b\nq3dbR0ZGpDoOEBUVlaN1K4zSG5Xt6alvk7h1q5GOHa2k/HFpMkH58hphYXrLunLl1F+X2ZW/rFbY\nutXIiROZXzpMUaBhQzvNm8sOUkIUdosW/Yc5c2bi4uKKp6cn0dFR+PmVJCYmmqSkJMxmMz16vOy0\n8vPlr6DQ0C8JDf0yzfHx4z/MhdoUbild0ImJsHmziUuXDHTtaqVcOY0PP0xm6FA3KlVyZehQi+O+\nbUICVKum4u2dPS3TO3cU1qzJ2kpfXl4aHTvacmSPaCFE3rd+/RoqV67CzJnfEBkZycsvdyc0dA6l\nSgXwyy8rmTbtc2rUqOm08vNdOHfo0Dm3qyD+9uCo7NhYhbg4uHtXYfToZLp2tXHpkoXJk105c8bA\nc8/ZMZs1vv/eFQ8PqFcva2MBNA2OHzewbZsJmy3z5wkJUWnTxoa7++M/VwhRONy8eZOhQ4fh4eGJ\nh4cnXl5FOXHiGGXKBNK9ew+OHz/K0qU/0apVa6eU/8ThrKoq169fJyAgAFVVc3wx8DFjPs7R8sTD\nGQz6Not9+rhTsqTG7NlJuLtrBAdrxMVBbCwMHGihalWVjz82s3u3iYAAleBgje+/T8RgyPyo7KQk\n2LjRxJkzmR+tZTbD88/L8ptCiLRMJhMeHh6O54GBQZw/f87xvH79hnzzjfOmFGc4nG02G1988QU/\n/vgjdrudjRs3MnXqVEwmExMmTEj1TYjC48YNhagohQ8/TCYkROXOHYUff3Th669dsNsVWre28ckn\nyTRqZCcmRm9pBwZqKErmR2XfuKF3Y2dl7nKZMhqdOlnx9s70KYQQBVhwcDlOnjxB587dAChbNpgz\nZ045Xo+NjcFqtTit/Aw3O2bMmMHu3buZP38+ZrMZgL59+/Lnn3/y2WefOa2CIm+LjVW4cMHA5csG\nZs924R//cOPdd80EBmo0bGjnu+9cWLfOhK+vRvnyGkFBmmMe85MGs6bB/v1GFi92yXQwGwzQvLmd\n3r0lmIUQD9epUxfWr1/D+PEfkpiYSLNmLTh+/Cjz53/D1q2bWbr0JypVquK08jP863HdunVMmTKF\nBg3uLYPZsGFDJk2axBtvvMH48eOdUkGRt9WqpdK7t5UxY8y4u0NwsMoPPyTSsqUdV1c4edKDP/80\n0K1b6q970q7sxET49VcT589nvhu7WDGNLl1slC4tg76EEI/WrVsP7ty5w4oVSzGZTLRs+RxNmzZj\nwYJvAfD09OSf/3zLaeVnOJwjIyPx9U27dZa7uztJWdlJQORbKfeLp0xJpnNnG/7+Gr6+Gn5+GnY7\nnDtnIDlZITAwa2F465bCL7+YiIrKfDd2SIi+57Kb2+M/VwghAAYPfoPXXx+M6e9uvsmTp3Hs2BFi\nYmKoVas2Pj7OWzoww+HcpEkTvv32W/797387jsXGxvLll1/SuLFsyViQPTiPOWUXKYMh9Y5SAL/8\noi8AEhOjB6qXl8Yrr1gfcuZHSxmNvXWrKdP7LptM+qCv2rVl0JcQ4smZHrj/VrduzixdneFw/vjj\njxk2bBhNmjQhOTmZIUOGcPPmTQIDA5kzZ44z6yhymdGodytv3GiidWt9D+OUUL4/8FI+Z/lyExUq\naFSpYmf58kRMpvQXKnkUi0U/16lTme/G9vXVeOEFWelLCPF4PXt2ZcSIkTRr1tLx/HEUBZYuXe2U\n+mQ4nP39/Vm+fDl79+7l4sWL2Gw2ypcvT7NmzdJso5XTdu/ewY4dvxEeHo7NlraV5sxtvQqylNHU\nmgaffmpm9WoTkZEKL71kxdPzXkCncHeHWbOSePttA0WLapQsmblR2XfvKqxenbVFRerUsfPcc3bS\nWW5dCCHSKFWqFG5u9xY78Pf3R8nF7jZFy+DGzP/6178YPHgwwcHBTqtMWFjsE3/NqlU/8+WXkwHw\n9vZxjCR/UG7vMJIX+Pl5Zfgap7R04+Jg8mQz584Z+O03IwEBGm+/beGll6x4eKQO6AfDGp58HvMf\nf+hrY1sz1xOO2Qzt2tkICcm9zU6e5DqLzJFr7HyF/RrHxESn2oLYWfz8vNI9nuH2zObNmxk6dGi2\nVSi7LFmyiPLlKzJ58jRKlSqV29UpMFK6srt08aBoUY327W107mxj4UIXPv/cFVWFl19OHdDp/ZGZ\n0WC22WDbNiPHjmV+beyAAI0uXWSKlBAi6/r3f4UXXuhO//6DcqX8DIdz//79+eSTT+jXrx9lypRJ\n00INCgrK9splxO3bt3jrrZESzE6we7eR8HCFL75Ion59vSX66qtW+vVzY+pUVwwG6Nkz/S7uJxET\nA6tXZ22Lx4YN7bRsac/0xhlCCHG/6OgoihdPO0Mpp2Q4nENDQwHYs2dPmtcUReHUqVNpjueEMmUC\niYqKzJWyC7obNwxERSnUrKkHc2Kifl954cIk2rXzYNo0VzQNevXSW9CZcfmyvtpXQkLmgtlshg4d\nbFSpInt2CyGyT5s27VmzZhXNmrXIlZDOcDhv3boV0KdP2Ww2VFXFaDTinct9iH37vk5o6FSaNWtJ\n5crOW62loEvv3nD9+va/RyO68OqrVtzd7wV0v35WRo40M2eOK8WL64t7PMm9ZU2DQ4cM7NhhQs1k\nrvr7a7zwwr3tKIUQIrsoioG//rpE9+4dCQwMwseneJrBz84cbJzhcPbz82Py5MksWbIE+9+TTo1G\nI506dWLChAlOqVx6hg9Pe987OTmZQYP6EhRUFm9vnxy9gAVBymhqqxUuXDDg56cvJhIUpNKokZ3F\ni10oXVrluefsjp2b9J2obPz1l4GpU11p2zbjuzplxzSpOnXsPP+87LsshHCOQ4f2OxqfFouF27dv\n5Wj5Gf7VNnnyZHbu3Mns2bOpV68eqqpy9OhRJk6cyLRp0xg9erQz6+lw48b1NMPbvb31plNycnKO\nX8D8TtPubfvYu7c7ly8bSEpSGDrUwtChFt5/P5khQ9z54gszV69aeeklKydPGvj5ZxfatbPx4YfJ\nNG7sya5dRtq2ffxKIZGRsHKlC3fvZq4b28UF2rbVd5ISQghnye0ZPhmeStW4cWNCQ0Np1KhRquP7\n9+9n5MiR6d6LflKFedh+Trh/aoSq6sFsNOot5s6dPTCb9UU7jh838vPPJv7xDytjxybzxx8GvvjC\nzM6dRlQVPD01ypXT+OWXBE6dMjBwoDv/+U/iYwPz4kWFtWtdyOxqr/llUZHCPgUlJ8g1dj65xo8X\nGRmJTxbvq2V5KpWmaelWwtvbm4SEhMzXTOSosDAFPz/NcX84MVE/Vq6cyogRFqpXVwErAQGuzJmj\nT5kaPTqZOXMSuX7dwNGjBkqU0Hj+eb2VvGCBC56e2iMDU9Ng714je/YYydifgmlVq6bSrp2NHN4+\nXAhRiK1atZz9+/eSkJCIpt1rfNjtdhIS4rl06SLbt+9zStkZDufGjRszdepUpk6dipeXnvQxMTF8\n+eWXPP30006pXEb07PkC8PAuUkUBV1dXvL19qF69Ji+/3CdXh8fnpuPHoW9fdz7/PIkGDfQ32ogR\nbqxebaJUKY2xY+8l55gxFhQFZs/Wp0wNGmShShWVoCCVgweNvPuumbt3FfbtM7J8eSIlS6afuklJ\nsH595neTMhrhueds1K0ra2MLIXLOokX/Yc6cmbi4uOLp6Ul0dBR+fiWJiYkmKSkJs9lMjx4vO638\nDP/GHDNmDH/99RctWrSga9eudO3alRYtWnD79m0++ugjp1XwcRo0eIqEhDhu3bqB2exK5cpVqFGj\nJsWKFeP27ZtERIRTrJg3sbEx/Pe/PzJgwCvculU470tbLPq85AYNVMdGEu+9Z6FtWzsREQqnT+tv\nh5TW7QcfWHjjDQs//ODCtGmuhIUp2Gzw118G/vjDiJ+fxi+/JDqmWj0oIgIWLXLJdDB7eWn07m2l\nXj0JZiFEzlq/fg2VK1dh7dpNzJkzH03TCA2dw4YN2xk5cjQWi4UaNWo6rfwnWlt77dq17Nq1iwsX\nLuDm5kaFChVo2rRprq4/WqVKCJs2beDTT7+gWbMWqV77/feTjBz5Jh06dKJz525cuHCekSPf5Lvv\nZjN27LhcqnHueeopKFfOSlISvPmmGy1a2OnXz8q4cUkMG+bOqFFuzJuXSP36qmNRkffftxAbqwe3\nr6/eHd67t5V+/ayPXDP70iWFNWsyf385KEilSxd9kw0hhMhpN2/eZOjQYXh4eOLh4YmXV1FOnDhG\nmTKBdO/eg+PHj7J06U+0atXaKeU/UZNm48aNaJrGP/7xD/r27cvatWvZuHGjUyqWUf/974/07Ply\nmmAGqFmzFj169OKHH74HoGLFSnTv3oODB/fncC3zlkuXDJw6ZeD7711YtkzfQerrr/Wu6UGD3Dl8\n2ICi3GtBT5yYzPLliRgM+kCylEBOL5hT5i8vX575YG7Y0M5LL0kwCyFyj8lkwuO+1ZUCA4M4f/6c\n43n9+g25evWK08rPcDjPnTuXcePGkZiY6DgWEBDARx99xMKFC51SuYyIjIzAz8/voa/7+BQnLCzM\n8bxEiRLEx8flRNXyjAf3Qq5WTWX69CSKFNGYOdOVpUtNlC+vMWdOIn5+GoMHu3PkSOqATvm3wfDw\nZTptNtiwwcS2baZMDfxycYFOnWw895wswymEyF3BweU4efKE43nZssGcOXNvJczY2BisVovTys9w\nt/ZPP/3E9OnTeeaZZxzHhg8fTp06dRg3bhz9+vXLcmUeNqT8USpXrszmzb8ycOBruD4wlNdisbBl\ny69UrFjBce7Lly9QpkyZTJWVH6V0PScmwurVkJzsRZs20LEjFC8O770Hc+a4U7Qo9O0Ly5bBq6/C\nCy94cvQoVK+esXLi4mDJErh6FTw9n7yePj7QqxeUKpX+rmL5TWF5f+UmucbOV5ivca9ePRk3bhwG\ng8b48ePp2LEdI0aMYMmS/1ChQgWWL/8v1apVc9o1ynA4x8TEpLu5RGBgIBEREdlSmczMqevbdyDv\nvz+Szp270LXr/xEYGISLiwtXr15h7drVnD9/lvHjPyUsLJapUz9j7dpVDBw4pFDM30u5bxwXB506\neXDjhpG4OI3SpTX+8x99INe//mXgk0/MfPqpQmyshZ49bXz5pcKsWa4UL57MfZ0OD3XrlsLKlSZi\nYzM39qB8eZXOnW0YjWSovLxO5oc6n1xj5yvs17h1685cvHiFFSuWEhWVRL16TWjatBkzZ84EwNPT\nk0GD3sjyNXpYuGd4EZIhQ4ZgNpv59NNP8fy7aRQfH8+HH35IdHQ08+bNy1IFIfOLkOzZs4vQ0C9S\nrR6maRolS/rz1lvv8OyzzxMVFUX37h1o06Y9o0b9C1MBX/cxZT9mVYX33zfz118Gxo83cf58Il9/\n7cqVKwqLFiVSp47K4cMGxo0zExurMGCAPtjrwfM8zKlTBn791YTNlrl6Nmli55ln7E+0LndeV9h/\nqeUEucbOJ9dYZ7PZUuXF8eNHiY6Oplat2vj4FM/y+bMczteuXeP1118nLCyM4OBgAK5cuUKpUqWY\nPXu241hWZPWNcP78Oa5fv4rNZqN06TKEhFR3hLWqqqiqWqBD+dIlBQ8PfUMI0OcY/+c/LmzbZuLl\nl60MHuxOWFgsf/xh4IMPzJw/b+Cnn/SAPnLEwFtvuVG3rsqsWY8fyaVpsGuXkX37Mndz2NVVv79c\nuXLBW4ZTfqk5n1xj5yts13js2FG0a9eRJk2a5WhOZDmcQb+H+7///Y8LFy7g4uJCcHAwzZs3T7PR\nRGYVpjdCdrt9W6F+fU9mz07ihRf0Zuy337rwzTf6/OS1axNo1cqTO3diURT4808D779v5uJFA4sX\nJ1K7tsqZMwYqVVIfOxjLaoV160ycPZu5n7u3t0b37nl/Gc7MKmy/1HKDXGPnK2zX+NlnG6OqKkWK\nePHcc61p27YDtWvXdXq52RLOcXFxuLi4YDabOXv2LDt37qRmzZo0btw4WyqZkTdCz55dGTFiJM2a\ntXQ8fxx928PVWa5fXrdvn5HGje1YLHp3tN2ur/AVGupK06Z2Nm40ERV17xr/+aeBMWPMfy+tGU+l\nSvpb4VFd2XFxsGKFC7duZe7+ctmyKi+8YMv0/s/5QWH7pZYb5Bo7X2G7xrGxsWzfvpWtWzdx9Ohh\nNE3D3z+Atm3b07ZtB4KDyzml3IeFs/GTTz75JCMn2L59O7169aJevXoA9OrVi0uXLrFkyRK8vb2p\nWTPrK6UkJDx+WPquXdtp2LARpUuXAWDnzt/w8vKiSJEij3x07Ngly/XL6wIDNex26NDBg4MHjbRt\na6NJE31P5m3bTBw9qtC6tcURvH5+GjVqqBgM0KPHvf2YH9YRcvu2wpIlLkREZC6Y69e306mTHXPB\nGJD9UJ6e5gy9l0XmyTV2vsJ2jc1mM1WrhtC+fSe6detBqVIBhIXdZvPmDaxcuYzdu3eSnJxMQEBp\n3N2zr3Xh6Zn+L8QMt5y7du1Khw4dGDJkCNOnT2fTpk2sX7+erVu3MnnyZDZv3pzlShamv9KcadYs\nFyZNMtOnj5WPPkrGaITQUFeWLTPToIGVmTOTcHFJ+3WPajGfP6/vKGXJxP9VgwHatLFRp07Bu7+c\nnsLW4sgNco2dT66x7u7dMLZu3cTWrZs5deoPjEYj9es/Rfv2HWnRohVubm5ZOv/DWs4Zvml46dIl\nunbtiqIobNu2jdatW6MoCtWqVePOnTtZqpzIvAcXGAEYNszK+PHJ/Oc/LowbZ8Zuh+HDLfTvD4cO\nGRk+3C3dkE0vmFNW/Fq5MnPB7O4OvXpZC00wCyEKlhIl/OjVqw/ffPM9S5asYsiQN7FYkpk0aRwv\nvNDOaeVmeEhayZIlOX36NNHR0Zw7d46U3vDdu3dTpkwZZ9UvjUmTnnxNbEVR+OCD3Nucw1lSFhiJ\nj4evvnIlPl6hRg07nTvbGDhQnw41ZozeZfLxx8m8/z4kJlqZMcOV8uVdGTXq0Wlrt8PWrUaOHcvc\niGw/P40XX7RSrFimvlwIIfIUL6+i+Pj4ULy4L2azmaTMrlGcARkO5wEDBvDWW29hMBioW7cuDRo0\n4Ouvv+brr7/ms88+c1oFH/Trr2vTPa4oCg/roS+I4ZyyxnVcHLRr50FiokJSEqxebeL4cSP/+ldy\nqoBWFPjqKxg2zELp0hovv2x95PmTkuCXX0z89VfmRmRXqaLSsaPsvyyEyN9iYmLYufM3fvttK0eO\nHMRut1OhQiVee20Qbdo4r+X8RKO1T506xfXr12nWrBlubm4cO3YMNzc3QkJCsqUyGbm/cevWzTTH\nYmKiGTiwLx99NIFateqk+3WlSgVkuX55TXIy9OzpjpsbTJiQTNmyKv36uXPqlIFOnWx8+GEyRYrA\nvHkufPSRmR49FD77LBZ3d/3rH3aPOSoKfv7ZhfDwzA38atpUX1iksG7zKPfqnE+usfMV5mscFRX1\ndyBv4dixI9hsNvz9S9G6dTvatu1AhQoVs62sh91zfqKZ1tWqVaNatWqO53XrOn8O2IPSC1n3v9Om\neHHfAhnC90tZkhPg6FEjEREK06YlUbWqyp07CsWLa5QoobFliwmjEcaM0VvQ8fEKv/1mTjVSOr1g\nvnlT4eefTSQkPHmyGo3QoYON6tXl/rIQIn+JjIxgx45t/PbbNo4fP4LdbsfLqygdOnSmXbuO1KlT\nL0frU3CXyyqAUu4xWyz6ClsREQo3bxoci3nMnevCX38Z+OqrJGbNcmXePBdUFd5+28Lw4RbGjzdz\n967eJZ7edKnz5/U9mK2P7vFOl7s7dO9uJTCwYC4sIoQo2Lp164CmaZhMLjRr1pK2bTvQtGnOrhZ2\nPw6z720AACAASURBVAnnfOL+e8wdO3rw5psWWrWyU7u2naJFNX75xcTMma789FMitWqp9O9vZeVK\nE8uXu3D3rsJ33yWl2vbxQUeOGNi6NXNbPfr6avzf/1nx9s769ymEELmhTp16tG3bgVatnsfTM/c3\nk5dwzuPUv3uIDQZ92czZs10pWVJfPMTPT+O775IoXhyWLXPh5Zf1vZCTkuD4cQMNGqiMGpVM8+b3\n5ls9eB9Y02DHDiMHDmRuRHa5cvqKX1mc6ieEELkqNHROblchlUeG89WrVzN8oqCgoCxXRtwTFqbg\n56c5WrkWC7zzjhsHDhjp3dtKjRp6avv6alitcPeugqur3uy9elXfKapOHTvPPqsHc3rzoW02+PVX\nE6dOZW5Edt26dp5/3v7YtbiFEEI8mUeGc5s2bRy7Ot1P07RUWzMqisKpU6ecU8MHHDt2JM2xuLg4\nAC5cOIfxIUlRt259p9YrOyUn6/OWvbw03ntPn4t844aC3a6H9rVr934mNhu4uOgDsSZOdKVlSw/i\n4hS8vTUmTEgG9Nbxg5clMRFWrTJx9eqTB7OiQKtWNho0UAvtiGwhhHCmR4bz1q1bc6oeGfbWW0PS\n/YMBYObM6Q/9up07DzirSk6RlASbNulrbK5caeKbb5IYMcKCm5vGokUuVKyoMmyYlZSxCj16WPH1\n1ThwwEhAgMq771owme4NIrtfdDQsX565qVKurtCli5WKFWXglxBCOMsjwzm9lb9UVeX69esEBASg\nqiquObzKRP/+gx4azgWF2axPgbp61cDMmXoLOiBAw9dXY+hQK3a7wqRJZtzccCw0Urq0Rp8+Vvr0\nuTfUOr1gvnVLnyoVH//k19DLS+PFF22O/aKFEEI4R4YHhFmtVr788kt+/PFH7HY7GzduZOrUqZhM\nJiZMmIBHDu0BOHDgkBwpJ7d5e+sjsz09NTw8YNEiF4YPtxASovLGGxYMBvjoI33SckpAP7ioyIPB\nfPYs/PRT5qZK+flp9OhhxSv9+fJCCCGyUYbDOTQ0lN27dzN//nwGDx4MQN++ffnwww/57LPPGD9+\nvNMqWVh9/XUSEREKU6ea+eknFzQNRoywUK2aytCh+r3o8ePNxMcrDB9ueeTArJMnDezeTaaCuVw5\nla5dbQV+q0chhLjf7t072LHjN8LDw7HZ0v7yVBSFGTNmO6XsDIfzunXrmDJlCg0aNHAca9iwIZMm\nTeKNN96QcHaCoCCNoCCNTz9N4oMP3Pjvf/V70CkBPWyYheho2LbNyFtvpZ0mBfpgsP37jezcacTT\n88nrULOmSrt2NhmRLYQoVFat+pkvv5wMgLe3D+Ycbp1kOJwjIyPx9fVNc9zd3d2pO3MICAzUmDQp\niTFj3Fi2zISqwv/9n5U7dxTGjLFQqZLqWGDk/oDWNPjtNyOHDmUuWZ95xk7TpoV3jWwhROG1ZMki\nypev+P/ZO+/4qKr0/7/vzJ2SSkIgQAgtlITeBQKEjvSOsigrYsFe+K7r2gs2VhHWXXd1dXf5KRYE\nBCmC9CLSi/ReAmlAQnqm3Xt/f9wQWtDMZCaZJOf9euU1MOXcc08y93PPOc/zeZgxYxa1a9cu8+OX\nOI+mW7dufPbZZzdUfsrJyeHDDz+ka9euPumc4Br16ukCHROj8vnnJjp3DmL6dAtNm6oYDLpZyfUi\nqiiwbJnskTAbDHpqVlUuXiEQCKo2aWmpjBo1tlyEGdyYOb/22ms8/vjjdOvWDbvdztSpU0lJSSE6\nOppPPvEvZ5XKSr16Gu+9Z2f9epn0dInHHnMUa8npcOg5zJ6UezSbYeRIJ40aiYhsgUBQdalbN5rM\nzCvldvwSi3OtWrVYsGABW7du5fTp07hcLho1akSPHj0wFGfWLPAJV1OmrnJzulReHnz/vYmUFPen\nvMHBGmPHilQpgUAgmDRpCh999AE9evSiadNmZX58t+o5+5qqWjvUW2Rl6R7bGRnFC3NQkIW8PHux\nr9WooadKhYb6sodVg6pcB7esEGPse6raGD/11CO3PHfkyCEcDgf16tUnLCz8lomoN6K1ParnPGnS\npBIbfnzxxRfu90rgNS5elFiwQCY31/0Zc716KqNHi+IVAoGg6pKcnHSL3oWFhQNgt9tJS0st0/78\npjhfnzaVmZnJ/Pnz6devH61atcJkMnH48GF++ukn7rnnHp93tKTYbDY2bdrAwIGDyrsrZcb58xKL\nFpnwJGi+WTOVYcNctxiWCAQCQVViwYKl5d2FG/jNS/IzzzxT9O8pU6bw0ksvMXHixBve06VLFxYs\nWOCb3nlAZuYV3nrrVfr06YfJZCrv7vickyclliwx4XK5/9m2bRUGDFCKre8sEAgEgvKjxPOlPXv2\n8Morr9zyfPv27Xnrrbe82qnS4kfb6D7l8GEDP/4oF9V8dof4eEWkSgkEAsFtGD9+BHD7C6Qkgdls\nJiwsnBYtWjFhwj1Ur36rF4inlHjO1KJFCz799NMbDEdycnKYPXs27dq181qHvEFlL4wBsHevgeXL\n3RdmSYIBA1z06CGEWSAQCG5Hx46dyc/PJTU1GYvFTNOmzWjZshXVqlUjLS2FjIx0qlULIycnm2+/\nncv9908kNdV7+9IlnjlPnz6dhx9+mPj4eOrXr4+maSQmJhIVFcW///1vr3VI8Pts26bbcbqL0Qgj\nRriIjfVgqi2oOGianmPncCC5nOB06Y+qqr9206Ok6X8PmsGoJ8xf/TEa0aTCf5tkNJNZT4Q3Gov3\nihUIKhHNmsWxatVK3n13Jj16JNzw2sGDB5g27QkGDx7KsGGjOHXqJNOmPcHnn/+Ll19+wyvHL7E4\nN27cmBUrVvDLL79w6tQpAJo2bUp8fDyyiCYqEzQNNm0ysn27+8JsscC990JwsBDmCoOqQn4+hrxc\npNwcyC9AshUg2WxItgIoKEAquO7/TheS0+FZdRN3MBjQzGYwmdHMJv3RakULCIQA/VELCECzBuiP\ngUFowcEQGChEXVBh+PbbuYwfP+EWYQZo1ao148bdzZdfzmHYsFE0btyE0aPHsWiR9+Kv3FJVs9lM\np06dqFmzJoqi0KBBAyHMZYSmwerVRvbtc1+YAwM1xo930aiRhUuXfNA5gftoGuTlYcjKRMrK0h9z\nspFyc6/95OXq7/M3VBXJZgOb7Td25IrBaEQLDkYLDkENCdH/HRSCVq0aWlgYarUwCAjwVa8FAre4\nciWDmjVr3vb18PDqXLruglqjRg3y8nK9dvwSK6vD4WDGjBnMmzcPRVHQNA1Zlhk6dCjTp0/HbDZ7\nrVOCG1EU+PFHmSNH3A+rDgvTGD/eSXi4Dzom+G00DSk3Byk9HUOG/iNlFopxdpbvZ7j+hqIgZWXp\n53+bt2hWK1q1sCKx1sLCUKtHoEbUwKOyagKBhzRsGMOKFcsZOXLsLZk/TqeTlSuX06BBg6Lnjh49\nSu3adbx2/BKL84wZM9i0aRP/+te/aN++PaqqsnfvXt5++21mzZrF888/77VOCa7hcsGSJTInT7ov\nzJGRuutXcLAPOia4hqYhZWdhuHgRQ/plcOVjPXMBKSMdyV68I5ugePQl+lRIS+XmNSItIBC1Rg20\niAho0gCDIQCtRg20oGCxXC7wOlOmPMxf/jKNyZP/wMiRY4mOrofJZOL8+USWLfuBkyeP8+ab7wLw\nwQfvsWzZYh54YKrXjl9i+86uXbvy0Ucfcccdd9zw/Pbt25k2bRpbtmwpdWe8YRWXmprCXXeNZO3a\nLRU+z9luh0WLZBIT3Rfm6GiVMWNudP2qanZ8PkFRkC5fxnAxDcOlNF2QL6bpy7yF/JZNqsA7XD/G\nWmAQaq1aqLVq6z+RkWhh4UKwS4m4XsCWLZv56KOZN7iHaZpGZGQtnnzyWXr37kdmZiajRw9mwIBB\n/PnPL7m91euRfef1aJpGeDFro2FhYeTn57vVmdtxu066g8ORDUCNGsEVeqk9Px8WL4b0dPdX8xo3\nhrvv1gNrb8YbY1xl0DTIyIALF/SfpCRIS9P3Ga7HCATdWIg9KKhsC7NXRa6NsQsuJuk/Bwqfslig\nTh39Jzoa6tVDGMe7T1W/XowaNYRRo4Zw9OhREhMTcblcREdH07p16yKxjogIYu/evV6fDJZYnLt2\n7coHH3zABx98QEiI/gvLzs7mww8/pEuXLl7pjDfu0jIy8gC4fDm3ws6c8/Lgu+9MXLrk/p1/bKxK\n//4usrJufU3cCf8ONhuG5CSMKckYkpMwpKToUdBuImbOvud3xzjPDhnZcOhY0VNaSChK3bqodaJQ\no+qi1qqN8K29PeJ6cY2IiLpERNQt+v/ly8UFfnngn4wXZs4vvvgif/zjH0lISKB+/foAnDt3joYN\nG/LPf/7To04JbiU3F+bNM5Ge7r4wt2qlMmiQS9hxlpSCAowXzmM4n4jxfCKGi2n+GR0t8ApSTjby\n0Ww4ekR/wmhErROFUq8+Sv0GqFF1oYLe0AtKz/jxI3n66Wn06NGr6P+/hyTBd9/94JP+uFXPedmy\nZWzevJlTp05htVqJiYkhPj6+SjhylQXZ2bowX7ni/nh26qTQp49w/fpNbDaMiecwnj+HITERw+VL\nQoyrMoqC4cJ5DBfOY9q6BYxGlKi6qPXqo9SrL8S6ilG7dm2s1mupfLVq1SpXbStxQJjNZmPhwoWc\nPn0ah8Nxy+vTp08vdWeqckBYZqYuzFlZ7v8xdO+uEB//+8Jc5ZapVBVDSjLGs2cwnj2DITmpTMTY\nL5a1jUbd0ctkQjPJIJuuOX9JElrhY9EPXHMMU1X934qiP6oKktMFTgeSw4FHZu5epkzGWJZR6kaj\nNGqM0igGrUaNKhVkVuWuF+VEqZe1n332WXbu3Mkdd9yBVRT+9SoZGbow5+S4/8Xv29dFp07lf7H0\nF6TsLIxnTutifO7sDVHUFRKTCS04GDU4BC0oCAIDdectqxXNGqA7cll1Ny4s5iJB9tnehqbpon3V\nGtTuQHLYdaeygvxrLmaF/5cKCvRc75ycWwPp/B2XC+O5sxjPnYUNa/U960Yx+k+DhogC6AJfUmJx\n3rZtG5999hmdOnXyZX+qHJcvS8ybJ5OX554wSxIMGuSidesqLsyahiEtFePJExhPntD3jSsKBgNa\naKhutnHVcCMktMhFSwsO1kPu/Wm2Jkl6EJUsc3UNokRrEZqm243m5GDIy9Ed0HJyCk1JMjFk6g5p\n/oyUk428fx/y/n1gMKBG1cXVpBlKkyZoXqxGJCgf3nnHfU9sSZJ44YVXfdAbN8S5UaNGKBXtztfP\nSUuT+O47EwVuBgQbjTBsWBUuYOFyYUw8qwvyqVP+fVGXJLRq1YpcrrTq1VHDwtHCwtBCQn03w/U3\nJEmf9QcGolCr+Pe4XIVWpleQrlzBkHlFd1dLT/e/37GqYrhwHvOF87BhLWpEDZQmTVGaNkOtE+Vf\nN1SCErFixbJin5ck6bZliP1CnN977z2efvpphg4dSlRUFIabLiqjRo3yeucqM6mpujC7u+oqyzBq\nlJOYmCoWyOR0Yjx9CuOxI8inT0ExcQ/ljRYWhhpZC5o2xG4I0MU4PFwEFZUUWUaLiECJKGYWarPp\nFqjpl5EuXwZnHtrJc3pBED/AkH4ZQ/plTNu3ogWHoDRugqtpM9QGDfW7aYHfM3/+kluey87O4oEH\nJvHqq9Np3bptmfanxOK8aNEizpw5w5dffnnLnrMkSUKc3SApSWLBAhPuOjuaTDB6tJOGDauIMF8v\nyKdO+o8XtdGIWqMmamQt1MhI/bFm5LU9yJohKO4E0miamGn9HlarnpscVZhrWjOEgks5kJuL4WIa\nxotpSBfTMKalIl25Uq5dlXJzkH/di/zrXrSAQJRmsbhi41DrN6g6KyUVkOJ8sQMKC7FUrx7hVd/s\nklBicf722295//33GT58uC/7U+k5f15i4UKT2xM/sxnGjnVSr14lF2anUw/ouirIfjBD1qpV01Ns\n6kTpP94yr1AUXZTFBdtzgoNRg4NRYxpfe85m0+MQrprJJCXpwWrlgFSQf02oA4NQYmNxxTZHja4n\nfu+C36TEV5jw8HBiY2N92ZdKT2KiLszuTgCtVhg3zklUVCUVZk3DcD4R+fAhjMeOlG+xiKvGFHWj\nUetGo9Sug88qhxQudxoSzyGfOIaja3dReckbWK2oDRrqS8qgp4dlXsGQnIwx+QKGpCQMly6WeY67\nlJ+HvHcP8t49aMEhuOKa42rVBi0yskz7IagYlFicX375ZV577TUee+wxoqOjbzH3rlevntc75w6r\nVq1k4MBBNzynKArr16+hf/87y6lX1yiNMN99t5NatSqfMEvp6ciHDyIfPohUnN9oWSDL+qw4up7v\njCc0Tc8Nvmnv0XhgP8EvP49pzy7UGjXBZKJg8oMUPPakd49f1ZEktPDqKOHVUVq20p+z2XR3uMRz\n5eIOJ+XmYNq1A9OuHaiRtXC1bIWreUvf3QgKKhwlFufHHnsMgIceegjghgodkiRx5MgRH3Sv5ISG\nhjJz5gzGjbsbgKysLD7+eDYTJtxbrv0Cz4U5MFDjrrtcREZWImHOz0c+ehj50EEMKcllf3xJ0mfG\nDRuhNGioR9b62l9ZkoqEWd6xHbV+fdTadQj8eDaSw0HmkpVI+fmYN6wj6N030QICsN3/oG/7VEhK\nSjJ16kSVybH8CqtVj65u0hQn6FauSRcwJJ7FeO6cPrMuIwwX0zBfTMO8cT1KoxhcLVujNGkqfL+r\nOCX+7a9du9aX/Sg1XbvG43A4uP/+ewCYNOkuZs78iNjYuHLtl6fCHBysC3ONGpVAmDVNX7rdvw/5\n+LEyN6PQQkN1l6eGjVDqN4CAgN//kKdc755VGOhlOHMa+cQxgl/8M1pQEDn/+BTp8mUsixaS/b+v\ncLXvCICze0+Mhw8S8Mk/cHbugtKqte/6CaSmpvLYYw8yd+53BAVV8RlbQMANYi3lZOtGNmdOYzx7\n1qMCKG6jqhhPncR46iSa1YrSvAXONu3Rat0m9UzgVfbt23PLc7m5eoGLU6dOYLxN1H27dh180p8S\ni3PdunV//03lTEJCbyZMuIcvv/wfjzzyBC1atCrX/ngqzKGhGnff7aSYCp0Vi9xc5EMHMe3fW7YR\ntAaDXsygcROURo3Rqlf3bTT09cvW1wf5FApz9V5dcTWNxT50BLY/3IvSuAmWRQvQwsJwdosHwLxq\nBZb58zCvWYWzRy8kp28D4VRV5e23X+Py5Uu8//67vP762z49XkVDCwnF1bottG57ow3s6VNlsuIj\n2WxF+9NqVF1cbdvhim1efB1YgVd48smpt/XS/sc/Zt/2c5s27fBJfyrdusmUKQ+TmHiWkSPHlGs/\nPBXmsDBdmKtV802/fI6mYTh7BtP+fRhPHC8zH2bNatVnx02aojSKKVtrxavL1rm5WH76ESLDkdp3\nRQsOQW0Ug6NnL8xrVpH30qsocc2v+4xM6OR7kI8eRrI7cPTqQ/acr1Hr1PG57eisWe9jNluQJAmb\nrYA5cz5n8uSyWUqvcBgMqIUBgs7uPZFyc/QZ7onjurWnj1eCDMlJmJOTMK1bg9KipZhN+4jJkx/0\nqyJOJS58URZUFpP18+f1PGZ3hbl6dY277nL6rCa8T43sCwqQD+zHtG83Umamb45xE1poKK5msSiN\nm+qpKb42e7hNYBd2O4Gz3ifgs0/QwqtjtBegBASSN+3P2Cfcg+WbuYT831PkvvkOtgcfAcCQlkpY\nv55gNpP/5LM4hgzTU7SA0Mn3oNaMJPe9D3xyTn//+4d06NCZmJjG3H33KNau3cKaNT9x5coVJk6c\n5PXj+QK/Kcpgt+sz6hPHMZ4+VTbL34AaVRdn2/YozVv4bG/ab8a4klPqwheCklEaYZ4wwVnhgjWl\nS5cw7d2FfOhgmZiEaKGhuGKbo8TGla1N4lWjkGLE0rx2NZZFC8h7+XUcg4YQkXoO578+JfiF51Ba\ntMQxbATqu9ORjx0DlwtkGbVWbRz9B2LauR1Xy9a6MCsK5vVrMP28ifynnvXZzca9904mPLw6qakp\nRc8NHjyMjIx0nxyvUmOxoMTGocTG6SUoE88hHzuK8fgxnwq1ITkJS3IS2sb1+pJ3+w5owcVf5AUV\nEyHOXqTKCHNh4Iq8eyfGxHM+P5w+Q45DiWtefr7FkoThwnmsc+dguJyOs2cCjj790IKCsc6dg1at\n2rUI6zax5MS2JaJ9c6z/+Te5f/snzvgeyL/uwXjsaFE6T8FDj2K4coWwccOxDx+FFhiEec1POLvF\nY5v8gM9OJTy8erHPVxfFG0qH0ahvYzSKgQF3Yjx3BuPRoxhPHvfZNoWUn4dp6xZM27fiim2Oq2On\nay5qggqNEGcvUSWE2WZD3v8rpr27fJ6XrAUEojRvjqt5S/1iUxaCXFjPuNjZ8bIlBL/wJ9S6dVGj\nogl57CHsw0aQ8+n/kA8dxDFk2LXZtcMBgYHYR4/DvGYVUkY69nF3EfLEVEy7dhSJs9KyFdkf/5uA\nr7/AtH0bhotp5D3/Eva7Jwo7z4qO0YgS0wQlpoleqOXsGYxHDiOfPO6bFSZVRT5yCPnIIdQ6UTg7\ndNLjG4Svd4VFiLMXuHDBs+CviiLMUk428q6dyPv3+da9y2hEadIUV4tWKDGNy+7CclVUb2OnKF2+\nTNB703H27EXu62+jRURgWbwQ4/lEKChAadIMw/lEsNv1QLRCYbXfOQTr/z5HysrC0bsfao2amHbt\nwD52vL4EqaoQHEzBw49RcP9DokBGZUWWi9K0HHY7xuPHkA8d8NmqkyElGcvyJWgb1+Ps2BlX23ai\n9nQFRIhzKUlO9swruyIIs3TpEqad25EPH/Rp1LVaN1p3SIpt7tsc5NtRKKby3t0E/PczDGmpOO/o\niu3uiaj16iPv34chNRX7G+OLrBbtY+8q+rjjzkEEvvsW8oljevqNyQToVZSwWDDkZKPKMq427TCv\nXY3x+DFcHTrdeDMghLlqYLGgtG6D0roNUlambll76ACGjAyvH0rKzcG8cR2mbVtwtW2Pq1NnsS9d\ngRDiXArS0jyrLuXXwlzoc23asQ3j6VO+O0xQMK7WbXC1boN2mz3QsiTg048J+PtsXB06okTVJeCT\nj5Gys8l78x0khwPJbkO7utR8daatKEgZGdgHDyPg77MJ/Os75L41AyJaYkhOImDOf3B27opS6PGc\n96e/UDD5QV2YBVUerVoYzm7dcXaNx5CchHzwAMajh72+OiXZ7Zh2bMO0eyeuFq1wdu6CVqOGV48h\n8D5CnD3k4kXP6jH7rTBrGsaTJzBt+8V3JguShNKwEa627VEaNymbZWtV1YX0N/ZwDecTsXw/H/u4\nu8l7/S1QFPL//CJS4WzG2S2+qFqWszDaGkDKzCT4lb9gHzaS3Jl/I+TZJwkf3A8GDqDa3n3gcpE3\n40O0amF6V2Ia31g9SSAA3VK2bjSOutHQp59ub7tvL4broum9gqIgH/gV+cCvKE2b4byjK2rdaO8e\nQ+A1hDh7QHq6xHffyRS4mSnhl8KsqhiPH8O0dYvP/IR1t6XCWXKhUPkcVdWXjW/eR75N7WT54AHs\no8dhPLAfSXGhBYcg5ecjZV5BCwvH2b0n1oXzcfTpXySwhpRkzOvX4OjdF/uEe8j6diHmVSsJOnoQ\n+8gxFNz3AFqEiIAWuIHZjKtNO1xt2mFIS0X+dS/GI96fTRtPHMd44jhKg4Y443ug1qvv1fYFpUeI\ns5tcuQLz5snk57sXTet3wqyqGI8cxrRtC4Z03+S3Kg0b4erQSQ/uKqvatTcFd8l7dmHathUlNhZH\nv4G3CrOmodarj6N3X4LeeIXAkBBwKUh5uWAw4Ozchby33iPvzy8RNm44QX99h/w/v4BmsWJZsQy1\nVm2cffoB4GrdFlerNgRFhpIvzBsEpUStVRvHwMHQu3A2vXcPhrRUrx7DeO4sxnNnUeo3wNmtO2r9\nBiJT4DbYbDY2bdpwS/VDXyHE2Q2ysmDePBO5uRVYmBUF+fBBTNt+8Y3ftdmMq1VrnO07lc2s8eaZ\nsCQhXbwIZhPBf3oG87o1aOHheprScy9QMOVhvSzf1c8VOn7lzPoY+cghvYRf7Too0fUwXjhP0PRX\nsX4zl9x3PyD3zXcJeudN5F/3IuXmIjkd5L7xTpGz19XjCwRe5epsunVbfW96zy7kY0e9GqRpTDyH\nMfEcanQ9HN26ozZs5LW2KwuZmVd4661X6dOnH6YyCOAU4lxCcnJ0Yc7Odu/iGx6ue2WXuzCrKuzZ\nQ8CPq3ySo6yFh+Ps0AlXqzZgsXi9feDaUvX1Npo3iaGUk01E66Y4+vaHwCCyFi1DjaxF0NtvEPDf\nz1Bim+O4c/Atjl9aZCTOyEicvfoUteUEAj76sOgiaLv/QRx9+mHatQOMRuzDR4myfoKy47q9aWfv\nbL0wxq/7kAryvXYIw4XzWOd/q3sLDLsTqtUSN5zXUZZu1+LKUgJyc3Vhzsx074+0WjVdmEPKM3tB\n0zAePYJpyyaw5yHleXfvSmkUg6tjJ5RGjb3/JbbbCfz7LEybN5L1w4prS+PXiapp80YwGPT97NBq\naCGh2O6djHXuHPJeewtX2/YA5D33AmHbtmL65WddnItZZg/+v6cwJl2gYNL9uFq1xrJ4IZhM2O8c\nUvQetWEj7GJWIShntJBQnAm9cXbrri95796F4WKa19o3JCfBV19hDY/E0bOX2JMupCwLYwhx/h3y\n8nRhzshw75cSEqILs6+KWPwumobx1ElMmzdeC/QK8tKM1mjE1bylnpJRs6Z32rxKYdqHs2cvMJv1\nso83Rzi7XFjn/j+C3n8XXE604BC04BDyn/0T9lFjsQ8dhnXuHNTCnGQ0DbVBQ1zNmyPv3Y3hzGnU\nRjHXZs+Fj44hwwh681WCX34enE4kxUX+k9Nwdu/p3XMUCLyFyVQU6+CLFEjDhfNYv5mL0igGZ89e\nqLXreK1twW8jxPk3KCiA+fNNpKe7J8xBQbowh5VRYPLNGM6ewfzzJv3u14toFou+99WpM1qI/jBe\nGgAAIABJREFUb+46zD9vJOCjWeTWjESJa4599Dj9hdxcru4NyHt3E/Dvf1Lw0CPYBw/DkHSewH/+\ng5DHH8YV2xxnz96odaIw7d6JfchwCAwEwDFoKIGz3se0fSv2RjHXDlp4N+zoNxBHl3jMmzagVa+O\ns2u8T85RIPA6koRavwH2+g2QLl7UzYOOHPLavrTxzGmMZ06jxMbh6J4g8qTLgDIKoa142O2wYIGJ\nixfdE+aAALjrLhfVy8FXw5CSjOXbr7B+941XhVkLDsHRqy8FUx/H2aefb4S5cC/HkJaG8XyiXgsa\noKCAwPemU737NeOOwI8+BJOZgol/RImNw9l3ALnvfYAS07jwNRP2EaMxr/7phlxR+51D0AICMO3c\ncS3/+WaCg3EMGSaEWVBh0SIjcQwdTsHDj+LsdAeYzV5r23jsKAH/+wzzj8uQssqmNGxVRYhzMbhc\nsGiRTEqKe8JstcJddzmpWbNsS2RLmVcwL1mE9cs5XvXrVatXxzF4KAVTH8PVpav3/Xk17Vqh+sI7\nfPuAQWgmEyHPP0uN2mEYLl1EC6+OIf0y8p5dABiSkvQ95shI/ZcFKE2aYhs/AfOGtUiZV7CPGacv\n8+3fd+1wNWrgatka84a1yL/u9e65CAR+hhZaDWff/uRPfRxnQm+0wCAvNawhH9xPwOefYlq3GrcN\nHwQlQixr34SiwJIlMomJ7t23WCy6MNeqVYbCXFCgl4vbu/uayHkBNaIGzm7d9ao23shPzsuDoKBr\n0dZXl9oMhmsuYYWPQe+8gTEtFc1qJe+VN1HrN8DZuQtKdD2s33xFbodOut/1gV+vtQGgabjatEPK\nyMB4PhFXuw4ozVti/mkFjn4Dimb7trsn6vV3RVCXoKoQEICzazzOjp2R9+3BtGO7nsdfWhQF066d\nyAcP4OzWHVf7jiJ7wYuIkbwOVYUff5Q5edI9QTKbYdw4J7Vrl5Ewu1zIe3Zj2rbFq3Vi1ZqRuijH\nxnkn8jo3l+Dpr2I8euTGaOvCR0PSBazfzMV45jSOfgOwjxhN7jvv4+rchcBZ7yM59MhypUlTnN17\nYvlxKbnvz8LZLR7zyuW6w1HTZnqbkoSUnaU7exWaqtiHDCNw5gzyn3wWpUVLAJx9+hWZhgg856mn\nHnH7M5Ik8be//csHvRGUCJMJV+cuuNp1QN6/D9P2bUi5pTfLkWw2zOvXYtq7G0dCH+9dP6o4QpwL\n0TRYs8bIkSPuCbPJBGPGOKlbtwyEWdMwHjmMefMGr+Yqq7Vq44zvgdKkqXe/VMHBIEn6HvKxo/qX\nVtOQsrMIevsNLAvno0ZHo5nMhCz7AfnXfeS98Tb2EaOwfjMXecc2yMvTl+e6xmOd9zWmTRuwjxxD\nwOf/JuiNl8mZ+Xe0WrWQ0tOxLpyPGl1PL5EHFNz3gF6qr3kL752TAIDk5KQyTSsReBGTCVfHzrja\ntkc+8CumbVuRcrJL3ayUmYllySLUqLo4evdFja7nhc5WXYQ4owvzxo1G9u1zrxCDLMPo0U7q1/e9\nMBuSkzCvW+PVQC81shbOngl6QfjSXGidzhtLHiqKPqiyjH3gYMzr1mD54Xvy//wiSBLmn1Zg3rCO\nnH//F2eXbmgGIyH/9xSW5UsoeOBhfSm7Y2fMq1Zg2r4VZ9/+uFq1wRXbnID/fkb2nK/Ie+V1gp95\ngvAh/bAPGaZX9Ek8R+477xdVudJq1cI+ZnzpBklQLAsWLC3vLghKiyzjat8RV+u2yIcOYNq6BSm7\n9CJtSE7C+vWXKM1icfTuixYW7oXOVj38Spxr1iwft47Nm+HQIX1btKQYjXD33dCsmY/csK6SkwNr\n18K+wsCmUuYqBwVZoEYN6NMHWrQonSgnJ0OvXjB1KvzpT7e+fuIEVAuAjh0I2rROz0sGWPANdLmD\naqOG6kFmZ8+C6oSMdCI2rYZnn4Xxo2H1CsJ2boG7R0NIWxgyCD79lJpW4MH7oEEUrFhB4N690LI5\nfPJPqrVq5fn5eJHy+lt2B4dDvxDXqBGM2YsRvRcvXiQlJYWYmBgsFguyLGPwgbd6RRjjCkOdBOgd\nD7t3w6ZNepwIhdcLT0k6C/O+gPh46NHDq1Hj5YGvvi+3w6/E+VI5FAvYs8fAmjXuDYMkwYgRLsLD\nVS5d8lHHXC7k3bswb/0ZHA6vNBlUtxYZbTqjtGyl7/tedj8oRN62lYD/fEr+8y+hNGyE+aU3cHXs\nhHrd707et4fg56chHzuGs01b5JPHkfLyyFy6ClfXbliHj8HZpRtKjhPr3z/B8sP3IMsY6jVAXbiI\nrHsfhJYdCW3QCOmXbeTsP4ZaJwpzy/aEZmWR9+HfKXjsSWjXFdp2ufEGww8KTtSsGVIuf8vukpGR\nh6ZpXL6c6xWv4P379zF79gecPKmnwc2a9TGKovDuu2/yxBPP0q/fgFIf4yoVZYwrHDEtILoJpj27\nCDu0l7z00m6f2WHFarSft+Po3VcPMq2g2yEZGfoNi7e+L1e53U1mlU6lOnjQfWEGGDTIRWys90zn\nb0DTMJ46oecSblznFWHWgkNwDLgTnnwSpXUbzyKwC/OQJU3FsmSRntYkyziGDkcNr46Ufe1LHPDv\nf4HBwJVlq8h78x1sE/8INhuWZYsBsE2ajBoVRdidvQl6+w2c3bqT/Z8vcPRMQD5yqCjNydk9AeOp\nk4ROuZfAD95DqRtNwWNP4Yprfq1fFfSL7g/Url2HzZt3euVCc+TIIZ555nHy8/MZP/4PRc+HhoYi\nyzJvvvkyW7duKfVxBGWA2azn+T/9tP7ohb8PKScby9LFWL79CinNezajlRm/mjmXJcePG1i50v3T\n79vXRevWvhFmKT0d87rVGM+c9kp7mtWKs0s8rg4d9S+Y0b099Rs7p4ugs1t31Oh6mDeswzFoCDic\nhA/qgzO+Bzkf/Qt5/z7M69eQ//gzKK1aA+i1aVOSMW/aQF5+PgQGEvCP2Ug5OVxZtUG30gQwykhX\nrmBesRxX2/bY7p6IZjETMPcLMBhQ4pqT99r0Uo6KwBd89tm/iIqK4j//+ZKCAhvfffc1AHFxLZgz\n52seffQBvvzyf3Tr1r2ceyooMQEBun93h06Yt/+CvG9vqVM2jecTCfjiv7jatcfRPaHIvU9wK1Vy\n5nz2rMTSpbLbznbduyt06uQDYXY6MW3aQMCcz70jzEYjzk6dKXjwEd08xNM7X0W50f7P6QTAPnoc\n5g1rMZw7hxYWhiOht16AAj1HWsrIwFWYuoSigMGAY+AgcDiwrFwOgHzwAFp4dV2YHQ5MG9ZhWbEM\nJa4FgbPex5CchFajBrYHpnJlwy/kT/uzV+7gBb7h4MEDDBkyHIvFestiRlBQMCNGjOa0Fz2fBWVI\ncDCOfgMpmPLQjatWnqJpyHv3EPD5p8j79hStyglupMqJc0qKxOLFJrdvADt1UoiP957Rx1WMp04Q\n8N9/Y9r2i1eMRFxxzSmY8hDOvgNKf1dqNILBgJSejvH0ySJxLJg0GSk9HdP2X/Sl7UFDMCQnYdq4\nHi0oCLV2Hb2sIhR98VyxzUGWMa9dDYCjTz/kXTsIeXgywa/8heBX/oKzSzeyP5tD5pKf9JJ1IJat\nKxAm0+2DZBwOB5rmo60gQZmghVfHMWI0tnv+iFo3utTtSbYCzKtWYv3qC7HUXQxVSpzT0yUWLDC5\nvY3bpo1Cnz6KV3VCys7CsnghloXzvZKzrEbXw3bvfThGjC5KJXKLqzcGV+9iFQXLvK8J659A9fgO\nVJswloCPPkTKyUZt0BAlrjmWVSuRrmTgatseJa451nlfo4WF44zvgWXRAr1YRaFjkBLXHCkzE9P2\nrUgXL2J7YCp5L72OIT0d+eABCqY+Ts6sf6A0i9Vn+wKv89RTj7Dr6k1TMfz88ybuvfcuj9pu0aIl\nq1evLPa1goICli5dTFxcS4/aFvgXat1obBMnYR85Bi289GlShuQkAr74L6Z1a/SiBgKgCu055+TA\n/Pmy2zawcXEqAwd6UZgVRY/C/mWzV4K91OrVcfbqW3oDkav70YVtBH74Vyw/fK8vZ3V4BsvC+QR8\n9gla9Qhs996HbeIkgt55E/noEZzdumO/cwgBn38KubkU3PcAYd/PJ/CjD7FNeQg1ogbWL/4HJhOG\ni2lYv51LwVPTKHjiaQoeftT7nt0CAGw2G5mZ14oT7N27m4SE3kRH31qbV9NUtm37hZQUz/LoH3zw\nEZ58cipPPPEwPXokIEkShw8f5PTpUyxY8C2pqSk899yLHp+LwM+QJJTYOAqaNEXeuxvTL1uQbKXw\n2NY0TLt2IB87iqPfAN35r4qvmkma5j8L/r5KjSgogK+/dr/0Y0yMyujRrlLFUV2P4cJ5vVLS1frK\npUCzWHB264GrY6cSB3rVrBnCpbQs/Y/+pj98yw/fY537/8h97wOwO6h292hs900h/09/AfQyjaEP\n3Y+reXOyv5yHlJtDRONo8v/0F/L/9BdM27dSbexwcmZ+hH3CPQTOeJuAOZ+j1qiJ0igG+egRbHf9\nAVdsHK427VAbNCz1GPgr/pLmc+XKFSZOHEteCX2UNU2jc+cufPjhPzw63s6d23j//XdJSUm+4fmI\niBo888yf6N3be7ap/jLGlRm3xrigANPWnzHt2e2VMpVK4ya6J74fGZikpqZw110jWbt2S5mkUlX6\nmbPTCd9/774w16unMnKkl4TZbse8aT3y3j1eaAxcrdvi6NmrqL6xW1xNo1IUXdQdDjCbMZw9g/Ho\nEZTGTZF3bketVZuCKQ8BIP+6F8uCeWiyEfnA/iIrTmePBMyrV2K79z5czVvg7NIN63ffYJ9wD/lP\nTcMxcBCWH5dhSLpA7tszcAwY5JXzF5SM8PBwXn11OkeOHELTNObM+ZyEhN40btz0lvcaDAbCwsLp\n3/9Oj4/XuXNX5s1bzLFjR0lOTkJVFWrXjiIurjmyKIhQuQkIwNl3AK427TGvXYXx3NlSNWc8dZKA\nxHM44nvi6nyHdwrwVDAq9TdGUeCHH2SSktwT5tq1NcaMcXklONh46gTmVT95xbtWjaqLo98A1DpR\nnjeSm0vIn55CswaQO/vjoiAvtUFDpPx8UBRcnbuQPXcemM0ET3sSyw+LcPbshX3EaKwL5mFZvoT8\n2DgK7ptC6NQpyAf34xgwCEef/gS99RqG5CTUqLq6NWD7jqU+b4HndOvWvSh9KS0tlZEjx9Kype9c\n1CRJIi6uOXHeiOoVVDi0GjWw3/UHjCeOY16/pnTxNE4n5o3rkI8exj5oKFqtWt7rqBusWrWSgQNv\nnFgoisL69WtKdTP7e1RacdY0WLlS5vRp9+64IiI0xo1zYimtK2deHuZ1a5CPHCplQ6AFBePo1Ud3\n9irtPkxQEErjpgTOnIGj30A9V9lkwpCaglqvPsbTp1CaNkOtGUnIM48j79hG9n++wNm7L6gqAV/+\nD9PG9TDtzzhGjIZHHsCy+HscvfvpbVnMqH60FCW4xosvvnbLcy6Xix07tmEwGOjU6Y4Sz3BFVSrB\nbZEklGaxFDSKwbRzO6btW4vSMD3BkJZKwJf/w9mlG85u3cu8LGVoaCgzZ85g3Li7AcjKyuLjj2cz\nYcK9Pj1upRRnTYP1640cOuSeMIeGaowf7yxdBpKmYTx8CPO6NUgF+aVoCDAYcHa6Q/+DLPXdQiGS\nRP5zL2A8dpSgD94FScIxbASaxYqUm4NaGOltPHIYy3ffkD3n6yJhNm1cj3TlCqbtW7F8Px/7mPHY\n7r0PtVZt0DSUps0ouFrCUeB3OJ1OZs9+n+TkJGbN+hiHw8Ejj9zPyZMnAGjQoCEfffQJ4SWI9i+u\nKlVGRjoOh4OQkFCio+uhaSopKSlkZWVSrVo1GjQQNbSrFCYTzvgeuFq1xrRhHfLRI563paqYtm7B\nePwojjuHlGnFq65d43E4HNx//z0ATJp0FzNnfkRsbJxPj1spxXnHDiO7drm3WRwQAOPHuwgN9fy4\nUnYW5lUrMXrBbEGpVx9H/zvRatYsdVvFkf/iKwS+M53g11/mSu8+KI2bYLh8Ce3qnYmmQUAAxuNH\nMbRoieHSRQI//gj7+AlI2dnIB/ZjHzOe3L/O8kn/BN7nv//9N0uWLGLo0BEArFy5nBMnjjN+/ASa\nNo3l73+fxeeff1KiqOqbq1L9/PMmXn31BV588TXuvHPIDYUuVq9eyYwZbzFGVAirkmih1XCMGI2r\nTTvMa37CkJHhcVuG9HSs38zF1aEjjp69y6yYRkJCbyZMuIcvv/wfjzzyBC1a+L7ATqUT5wMHDGzc\n6J4wm0wwdqyTiAgPA9c1DXnfHswb15c6PUoLCNQN4lu19mkqgRLThLw33yF8QC8C33kTtXYdXC1b\nIx8/iqtdB5TGTSi4548Ezp5JwGefYMjJxj5wMPlP/x9K41KWmBSUC+vWrWbYsJE8//zLAGzYsI6g\noGAee+xpZFkmOTmJpUsX89xz7rf92Wf/ZOTIMQwePOyW1wYMGMSJE8f4/PNP6NdvYGlPQ1BBURs2\nwjb5QUzbt5bOdEnTkHfvwnjiOPaBg1FjGnu3o7dhypSHSUw8y8iRY8rkeJVKnE+elPjpJ/dOyWCA\nkSOdREV5JsxSdhbmFctLHZ0Iuge1I6F32fjNqipqVF1yX3kD6+KFGFetRImuh1ozUn89MJC8V6fj\nGDQU49kzeiDaVdcuQYXk0qWLtGyp+53bbDb27dtDfHyPon3mWrVqkeNh4OKFC+cZMeL2F62aNWtx\n+bKvSrgJKgyyjLN7T1zNW2Be/VOprptSdjbWBfP062afft7b+rsNsizz1lt/9ekxbjhemR3Jx1y4\nILFkicntFLshQ1zExHggzJqGfHA/pnVrkErpaqPWjMQxcJBXLPFKTOGyo33UWLTQaoTefw+G84lo\n1xe1tlhw9uyFs2evsuuXwGeEh1cnIyMdgO3bf8HpdBAf36Po9ZMnT1KjhmfbKPXrN2Dt2lWMGjUW\n4035h3a7neXLlxSbwiWommjVI/So7qNH9PicEubiF4e8fx/Gc2ewDxpaqfwTKoU4p6dLfP+9CZfL\nvc/16+eiRQv3E+al3BzMP63AeOqk25+9AZMJR/cEXJ06l18en9WKY8gwbFMe0tMevGAgIPBPOnTo\nxHfffYPZbOb77+djtQbQs2dvcnJyWL78B5YsWcSoUZ4t2d1772Ref/0lHnvsQYYMGU5UVF3sdjsX\nLiSyePFCUlNTeP/92V4+I0GFRpJQmregoFEM5s0b9KpXHnpiSVlZWOd9jbNTZ5w9e1eKIjkV3iEs\nNxe++spEVpZ7e6Dduin07Onmnoem6Xd6q38qnVUdoNRvgOPOwZ75YHtIsY4/qqrfGGia2Ef2Ev7q\nXpWTk8MrrzzP7t07CQgI5LnnXmDAgEHs37+Pxx9/iLZt2/PuuzMJCSnesej3+PHHpXzyyT+4ciUD\nSZK4emmpXTuKZ5997oZZemnx1zGuTJT1GBuSLmBeuRxDenqp2lEjInAMHlZhtuFu5xBWocXZbodv\nvzWRluaeqLRtq7jvl52Xh2XNTxiPHXXrWDejWa04e/fF1bptmYuhuKCVDf4+zleuXCE4OLjIgrCg\noIDTp095xZxEVVWOHz9KSkoykiQRFVWXZs28n3Li72NcGSiXMXa5MG37RQ8YK80qniTpedHde5au\njn0ZUOnsO6+6f7krzM2aqQwY4J4wG0+fxPzjcqT8PDd7eSNKs1gc/QeiBXs2MxEIvEF4eDiXL18m\nLS2VBg0aYrFYaN68hVfa1jQNRVFRVQ2TSUZV/ebeX1ARkGWcPRJwNYvDsnI5htQUz9rRNEzbfsF4\n6iT2oSPQIiO9288yoEKK81X3r7Nn3dunrV9fZdgwV8m3d6/ax+3Z7X4nr0MLCsbRfyCKj5PWBYLf\nY//+fcye/QEnTx4HYNasj1EUhXfffZMnnniWfv0GeNz2li2bmTnzvVuismvUqMm0ac/To0dCqfou\nqDpokZHY7r0PeecOzFs24XZAUSGGSxcJ+PJ/OBJ64+p0R4XauquQ4vzzz+67f0VGaowa5Sqx85uU\nloZl2Q8Y0i970MNruFq3xdG7r+5yIhCUI0eOHOKZZx4nMrIW48f/gfnzvwF0e0JZlnnzzZcJDAws\n8uJ2h19/3ctLLz1H9eoRPPzwYzRs2AhV1Th37iyLFs3n5Zf/zN///imtW7f19mkJKisGA64uXVGa\nNtXNnRLPedaOomBevxbjmdM4hgyrMCuXFW7Ped8+A6tWuXdPUa2axj33OEtWxEnTkHftwLxpg+dJ\n8oAWHIJj0GCUmCYet+FtxD5d2eCv4zxt2hNcvJjGf/7zJQUFNoYPH8Ds2f+kY8fO5OXl8uijDxAc\nHMI///m5220//fSjpKWl8fnnXxB80xctLy+XBx/8I3XrRvPBBx955Vz8dYwrE341xl4yetICAnEM\nHorSxH/S+m6351yh6nCdPCmxerV7wmy1wrhxrhIJs5Sbg2X+t5jXry2VMLtatKLg/gf9SpgFgoMH\nDzBkyHAsFustq3tBQcGMGDGa0x5azx4+fIgRI0bdIsxX2x42bCSHDh30qG2BAEnC1b4jBfdNKZWv\ntlSQj+X7+ZhXryxVMY6yoMIsaycnSyxdanIrDU6WS27LaTxxHPPKH0tVrEILDMIxcBBKs1iP2xAI\nfInJdHsvYofDgab5Js9dkiRcHu4bCgRX0cKrY5twD/KunZh/3ujxXrS8dw+GxETsw0aWWynK36NC\nzJwzMmDhQpNbNzqSBMOGuahb93eE2enEvGoFlkULSiXMSmycPlsWwizwU1q0aMnq1SuLfa2goICl\nSxcTF9fSw7ZbsWzZDxQU3Jr/n5+fx9Kli70WES6o4hgMuO7oQsGk+/WKeJ42k36ZgLlzkHdu99j8\nxJcYX3/99dfLuxNXyc+/dS8hNxfmzTORm+telF3//i5atfrtWYCUno51/relqiKlWQNwDBqKs0dC\nmVVI8ZSgIEuxYyzwLv46ztHR9Zg7dw67du3A4bCza9cO6tdvwPHjx3jnnTdISUnm+edfpk6dKLfb\njoqK4rvvvmbVqhUoikJWViaJief4+eeNvPvudFJTU/jLX17xqO3i8Ncxrkz4/RgHBeFq3QYMBoxJ\nFzwTWE3DePYMhtQUlIYx5eIsFhRUvCe4XweEOZ26yUhKinvC3KWLQq9ev71nbDx4AMuan0oVXKA0\nisExeGiFif7zqwCPSow/j/POndt4//13SUlJvuH5iIgaPPPMn+jdu5/Hbf/880Y+/PCvXLp00ett\n34w/j3FloSKNsSE1BfPypaXKrtFCQrEPH1mmtaKhAjqEqSosWSJz/Lh7K+8tWqgMHeq6fTqbw4F5\nzSrkg/s976gs4+jVB1eHThUqb64ifdkqMv4+zpqmcfz4MZKSLqCqCrVrRxEX17yoOlVpUBSF48eP\nkpycDGjUrh1FbGycV9q+Hn8f48pAhRtjl0v3pdi9y/M2DAacPRJwdulWZtf2CucQtmGD0W1hbtBA\nZfDg2wuzdPEilqWLS3V3pdaoqQcRVEDHGYEA9OCs2Ng4YmPjyM3NxWCQ3BbPd955w6PjvvDCq25/\nTiAoEbKMo99AlEYxnjs6qiqmTRswnE/EPmQ4XF+lr4zxy5nz3r0Gt1OmatbU+MMfnFitxbyoacgH\nfsW8ZpXH0X2AXvEkoQ8ldjLxMyrcnXAFxZ/GWdM0tm3bwpkzp6lbN5ru3ROQZZndu3cya9b7JCae\nBaBp01imTn2cO+7oWqJ2e/bsjFR4F1zSS4gkSWzatMOj87gZfxrjykqFHuPcXCwrl5cunig4BPuw\nEaj1G3ixY7dSYZa1T5+WWLjQvZSp0FCNe++9jcmI3Y551UrkI4c87pcWFIx98FDUmMYet+EPVOgv\nWwXCX8Y5JyeH5557msOHDxYJaFxcc6ZNe57HH38Ii8VKhw4dUVWNPXt2YrPZmD37n7Rv3/F32548\neSKnTp0gLCycHj160atXHzp1usPry9e3w1/GuDJT4cdY05D37NKNSzydlEkSzu49cXaN91lZ3woh\nzgcP5vLNNya3YrSsVpg40UmNGreehnT5MpYfFpaqBJnSpCn2O4eU6/KGt6jwX7YKgr+M8+zZ77Ns\n2Q888cQzdOjQibS0VP72t5mkpaVSp04U//jHvwkNrQZARkY6U6feT0xMY2bMmFWi9lNSktm0aT2b\nNm3g4MH9BAQEEB/fk4SE3nTr1h2LpbhlLO/gL2NcmaksYyxduqRvZ97k+e4OSoOG2IeN9IkO+L04\nZ2fDrFk2t1KmjEa46y4n9erdegrGo0ewrFzueTS2LOPo0w9Xuw4VKujrt6gsXzZ/x1/Gefz4ESQk\n9OHJJ58tem7nzu1Mm/YE//d/f2HUqLE3vP+LL/7LggXzWLLkJ7ePdeXKFTZv3sDmzRvYvXsnBoOB\nzp27kJDQh+7dEwgNDS31+VyPv4xxZaZSjbEXgsW00FDsI8egeikd8Cp+HxD29de4ncs8eLDrVmFW\nFEwb12HatdPjvqjVq2MfPtpvnWMEgpKQnn6ZRo0a3fBco0b61kzt2nVueX+tWrXJzs7y6Fjh4eGM\nGDGaESNGk5+fxy+//MzmzRuYPft9Zsx4i7ZtO9C7d19Gjx7nUfsCQam4GizWsBHm5cuQbLea5fwe\nUnY21q+/xNFvAK627X0+afMbcU5Nde/9PXsqtGhxo8mIlJuDZcliDBfOe9wPV4tWOAbcCZbiE8MF\ngoqC0+nEbL5xadlkkgsfbzVbkCQJtTQF7gsJDAyif/876d//Tk6fPsXHH/+NHTu2snfvLiHOgnJF\nadwU2+QpWJb+gCHpggcNKJhXrcSQnKzrhA9NS/xGnN2hVSuVrl1vNBkxJJ7DsvQHpLxczxo1mXD0\nH4irVZtKs4wtEJQHBw8eYMuWTWzevJHExLNIkkS7dh3o2bN3eXdNIEALrYZtwj2YNm/EtGObR23I\nB/djuJiGfdQYtLBwL/ew8Bg+adVDbmdjdj2NGsG99+r7zYBu2bZ1K6xZA6hQgjZuITLHOc1HAAAO\nm0lEQVQSxo0jqArkLt9uf0PgXfxlnFXVhtN5bd/Q6dRvXhWl4IbnAVwufanP3b47HA5++eUX1q5d\ny/r160lPT8disdC9e3ceeeRh+vTpQ1hYWCnP5Fb8ZYwrM5V6jMePhHYtYNEiyPegrkJeJiELv4Yx\nY6BZM693z28Cwl5/HfLy7L/5nogIvS5zUS6zw4FlxTKMx456fFxXm3Y4+g0oF0/VsqZSBXj4Mf4y\nztfnIl+PpmnFPn+VkuQiZ2VlFu4rb2Tnzu3YbAVUqxZGfHwPEhJ607lzFxGtXcGpKmMs5WTry9yl\n2A51xvfAGd/Do3Qrvw8I+z0CAzXGjbsmzFLmFSzfL/A8PN5sxj5gEErLVt7rpEDgRwwePMxnbY8Y\ncSeaplGnThQjRowmIaE3bdq0+03RFwj8ES0kVF/m/nkTpu1bPSqgYfrlZwypKXq6VbFOWO5TIWbO\nJhNMmOCkTh29q4azZ7AsWexRxB2AGhGBfcQYtJo1Pe1uhaSq3AmXN1VhnHv27Fz075IKsiRJbNy4\n3SvHrwpjXN5UxTE2nD6FZdkSz7WlenXso8ejRUSU+DMVduYsSTB0qEsXZk1D3rUD84Z1HtffVGLj\nsA8aKqKxBYJS4MtZuUBQXqgxjbHddz+WHxZhSE1x+/OGjAysc+fgGDYCpXHTUvXF78W5d28XzZqp\n4HRi/mkF8uGDnjVkMOiVpDrdIaKxBYJS8uKLr5V3FwQCn6BVC8M2cRLmtauRf93r9uclux3L9wtw\n9OyNq0tXj/XGr8W5fXuFTp1UpOwsLIu/9+hOBgq9sUeMQq1X38s9FAgEAkGlQ5Zx3DkYNSoK8+qf\n3Pfm1jTMm9ZjuJSGY9BQjwKO/VacY2JU+vVTMCadx7L4e8/KfwFKvfo4ho9EC67EKQECgUAg8Dqu\n1m1RI2thWbwQKct99zz5yGEMGRnYR49FK/SxLym+KbNRSho2VBk+3IX54D6s8772WJidnbtgv+sP\nQpgFAoFA4BFqrdoU/HEKiodVCQ1pqVi/mIPhfKJ7n/PoaD6iZk2NhASFcWMcBP+yFvPKH0FRfv+D\nN2MyYR8+Cmeffte5lQgEAoFA4AEBAdjH3oWze0+P9pCl/Dys875G3r+vxJ/xm2Xtl16CzEynbiyy\n5AeMJ0941I5WrRq2UeNE0QqBQCAQeI/C2s5qrdqYly9Bsv+2adYtqCrmlT8iZWTgTOj9u4YlfjNz\nNplAys7C+vWXHguzUr8BBZPuF8IsEAgEAp+gNGmK7Z770MI989Q27diG5Yfvf7ecsd+IMxcuYP3y\n/2G4mObRx10dO2EfPwECA73cMYFAIBAIrqHVqEHBvZNRGsV49HnjieNYv/4SKSf7tu/xH3GeM8ez\nilJGI47BQ3H0Gyj2lwUCgUBQNlzdh76jq0cfN1xMw/rl/7vt636z5+x2HhmgBYdgHzUGNaquDzok\nEAgEAsFvYDDg7N0XtWYklp9+dFvHpNzb26P6jzi7iRpVV6+lKdKkBAKBQFCOKC1bYYuIwLJo4W8u\nVbuD/yxru4GrRStsE+4RwiwQCAQCv0CtXYeCSZNR60Z7pb0KJ87Onr1wDB0OcoWd9AsEAoGgMhIc\njO3uibhalL4UccVROJMJ+5DhKLFx5d0TgUAgEAiKR5ZxDB2OFhGBafNGz5vxYpd8hhYcgn3MONTa\ndcq7KwKBQCAQ/DaShLNbd9Tw6lh+XOpRwLPfi7MaWQv72PFoIaHl3RWBQCAQCEqMEtccW7VqWL5f\n4HaqsF/vOStNm2GbOEkIs0AgEAgqJGqdKGyT7kOtGenW5/xWnJ1dumEfNRbM5vLuikAgEAgEHqOF\nVsM2cRJKk6Yl/ozfibMWFIx92Eicvfp4VP1DIBAIBAK/w2LBPmoszh4JejGJ38F/9px79sSBGVdc\nCzFbFggEAkHlw2DAGd8DV+s2GI8fQ8q+vWGJ/4hzv364Lt3eykwgEAgEgsqAFhKKq2Pn33yP3y1r\nCwQCgUBQ1RHiLBAIBAKBnyHEWSAQCAQCP0OIs0AgEAgEfoYQZ4FAIBAI/AwhzgKBQCAQ+BlCnAUC\ngUAg8DOEOAsEAoFA4GcIcRYIBAKBwM8Q4iwQCAQCgZ8hxFkgEAgEAj9DiLNAIBAIBH6GEGeBQCAQ\nCPwMSdM0rbw7IRAIBAKB4Bpi5iwQCAQCgZ8hxFkgEAgEAj9DiLNAIBAIBH6GEGeBQCAQCPwMIc4C\ngUAgEPgZQpwFAoFAIPAzhDgLBAKBQOBnCHEWCAQCgcDPEOIsEAgEAoGfIcRZIBAIBAI/Q4izQCAQ\nCAR+hhBngUAgEAj8DCHOAoFAIBD4GUKcBQIfMHv2bCZNmlSi9yYlJREXF8f58+d93CvP8VYfb27n\n6NGj7Nq1yxtdFAgqFUKcBQIfIUmST95bXnijj1FRUWzZsoXo6GgAHn/8cc6ePVvqdgWCyoZc3h0Q\nCARVB0mSiIiIKPq/KCcvEBSPmDkLqiRXl1fXrVtH3759ad++PTNmzOD48eOMGTOG9u3b8+ijj2Kz\n2QBIS0vj6aefpkuXLnTt2pXp06fjcDiK2jt16hQTJ06kXbt2TJkyhczMzBuOl5aWxmOPPUb79u3p\n27cvM2fOxOl0lqivFy5cYOrUqXTo0IHevXvz6aef3tBucf1y9/yuvn/p0qX06tWLzp07M336dBRF\nKbZPxZ2Py+UCYOHChbRq1YozZ84AcP78edq3b8/ixYtvWNaeNGkSycnJvPLKK7zwwgu8/vrrPPzw\nwzccZ+bMmTz66KMlGieBoFKhCQRVkAsXLmixsbHahAkTtGPHjmlLlizRYmNjtUGDBmnbtm3Tdu7c\nqXXs2FGbO3eu5nA4tIEDB2oPP/ywdvz4cW379u1a//79tTfffFPTNE2z2+1a3759teeff147ffq0\n9tVXX2ktWrTQJk2aVHS8sWPHai+++KJ25swZbdeuXdqwYcO09957r6gvcXFxWmJi4i39tNvt2sCB\nA7Unn3xSO3nypPbzzz9rnTp10pYuXfqb/XLn/K4fj0GDBmm7d+/WduzYoSUkJGgffPDBDa9f7eNv\nnY+madp9992nTZkyRdM0TZs8ebI2derUW841MzNT69WrlzZnzhwtJydH27lzp9aqVSstOzu7qJ3+\n/ftry5cv99rvvThycnI0p9Pp02MIBO4ixFlQJbkqNv+/nfsLaaqN4wD+PdssMbShECi5mVdBQpsX\nGpaUGhQduxATkrwICp2SNw5vhFEZ0oUI6UCsqKA/F+GfGy9EsUYjMjMSMVpeTJgwxCho/4hi83kv\nXnbwbLmt931l4/X7udGdx3Oe3+8B/fn82ZxOp3KtoqJC2O125XV7e7vo7e0VL168ECaTSVU0nE6n\nOHLkiAgEAsLhcAiz2Sx+/PihtHd2dirF+c2bN6KyslJsbm4q7e/evRNlZWUiEokkLM4Oh0OYTCYR\nDAaVa5OTk2J2djZhXC6XK+X8to7H7Oys0j4+Pi4qKyuV9miMyfIRQgiPxyOOHj0qrFarqKioEBsb\nG6p+ornW1NSI0dFR5TmnTp0SExMTQgghlpaWhMlkUo3rTvD7/cJut4twOLyj/RD9Ce45064WPZgE\nANnZ2SgqKlK9/vXrF9xuNwwGA3Jzc5U2s9mMSCQCj8ejtGdnZyvtZWVleP36NQBgdXUVfr8f5eXl\nqr4jkQi8Xi80Gs22e69utxtGoxH79u1TrtXX1wMA7t+/v21c0SXmVPKLkiQJZrNZlYPP58PXr19V\nMSXLp7i4GAaDAW1tbRgcHMT169dx4MCB3+YX69y5c5iamkJDQwOmpqZQW1urGtedkJubi7q6OrS2\ntqK/vx/5+fk72h9RKlicadeSJAk6nfpXQKOJP4bxu+KwubkJIYSyJxtbXLOyspTvw+EwSkpKVHvF\nUYWFhdjY2Nj2JPTW56Qa19avqeS3lVarjXtW7D3J8olyuVzQ6XSYn59Hc3Nzwn6jzp8/j6amJvj9\nfkxPT8NmsyX8+Q8fPqCjo+NfnyQPh8MIBAK4fPkynj17pvqHhygdWJyJkigtLYXH44Hf70deXh4A\nYHFxETqdDkajEd+/f8fa2hoCgYDyR/3Tp0/K/YcOHcL6+jr0er3S/v79ezx58gT9/f0J+zYajVhb\nW0MoFFJmz0NDQ1hfX0d9ff1v49JqtaoimyohBFwuF44dOwYAWF5eRkFBAfLz8+H1ev8on5cvX8Lp\ndOLu3buwWCxwOByoqakBoH5LVmxRPXz4MAwGAx4+fIhQKITq6uqEMZeXl+Pt27d/nGuspaUlPH78\nGH19fTs+UydKBU9r06613VJyrKqqKpSUlKC7uxsrKyuYn59HX18fZFnG/v37UVVVhaKiIvT09MDt\ndmNsbAzT09PK/SdOnMDBgwdhtVrx+fNnLC4uwmazQafTYc+ePQljqa6uRmFhIWw2G9xuN169eoWn\nT5/i5MmTCePS6/X/aExu376Njx8/Ym5uDna7HS0tLXHjlSyfYDCI3t5etLa24vjx47hy5Qpu3LiB\nUCgUl2tOTg5WV1fh8/mUa7Is49GjRzhz5kzczH8nfPnyBXNzcxgYGGBhpozB4ky7VuysbbulUUmS\nMDw8DEmScPHiRXR1daGurg63bt0C8PfS8b179xAIBNDY2IixsTFcunRJuV+j0WBkZARarRbNzc3o\n6OhQ3qqUrG+NRoPh4WH4fD40Njbi5s2buHbtGs6ePZs0rlTz20qWZVgsFlitVjQ1NcFiscTdnyyf\nO3fuYO/evbh69SoAoL29HVlZWRgYGIiLo6WlBc+fP1ctX8uyjJ8/f0KW5aTx/hf0er0qT6JMIIlU\npw9E9L/l9Xpx+vRpzMzMoLi4OK2xLCwswGq1wul0pjUOonTinjMRAUj/p3V9+/YNCwsLePDgAS5c\nuJDWWIjSjcvaRAQg/Z/vHQwG0dPTg5ycHGVJnGi34rI2ERFRhuHMmYiIKMOwOBMREWUYFmciIqIM\nw+JMRESUYViciYiIMgyLMxERUYZhcSYiIsowLM5EREQZ5i8j/j8f7uiIWgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 1, 1000)\n", "y1 = -(x - 0.5) ** 2\n", "y2 = y1 - 0.33 + np.exp(x - 1)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(x, y2, lw=10, alpha=0.5, color='blue')\n", "ax.plot(x, y1, lw=10, alpha=0.5, color='red')\n", "\n", "ax.text(0.15, 0.2, \"training score\", rotation=45, size=16, color='blue')\n", "ax.text(0.2, -0.05, \"validation score\", rotation=20, size=16, color='red')\n", "\n", "ax.text(0.02, 0.1, r'$\\longleftarrow$ High Bias', size=18, rotation=90, va='center')\n", "ax.text(0.98, 0.1, r'$\\longleftarrow$ High Variance $\\longrightarrow$', size=18, rotation=90, ha='right', va='center')\n", "ax.text(0.48, -0.12, 'Best$\\\\longrightarrow$\\nModel', size=18, rotation=90, va='center')\n", "\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(-0.3, 0.5)\n", "\n", "ax.set_xlabel(r'model complexity $\\longrightarrow$', size=14)\n", "ax.set_ylabel(r'model score $\\longrightarrow$', size=14)\n", "\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax.yaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "ax.set_title(\"Validation Curve Schematic\", size=16)\n", "\n", "fig.savefig('figures/05.03-validation-curve.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Learning Curve" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFwCAYAAACCbrOvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nETkYhjMREZGDYTgTERE5mP8Hlp/kNMiE2u4AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "N = np.linspace(0, 1, 1000)\n", "y1 = 0.75 + 0.2 * np.exp(-4 * N)\n", "y2 = 0.7 - 0.6 * np.exp(-4 * N)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(x, y1, lw=10, alpha=0.5, color='blue')\n", "ax.plot(x, y2, lw=10, alpha=0.5, color='red')\n", "\n", "ax.text(0.2, 0.88, \"training score\", rotation=-10, size=16, color='blue')\n", "ax.text(0.2, 0.5, \"validation score\", rotation=30, size=16, color='red')\n", "\n", "ax.text(0.98, 0.45, r'Good Fit $\\longrightarrow$', size=18, rotation=90, ha='right', va='center')\n", "ax.text(0.02, 0.57, r'$\\longleftarrow$ High Variance $\\longrightarrow$', size=18, rotation=90, va='center')\n", "\n", "ax.set_xlim(0, 1)\n", "ax.set_ylim(0, 1)\n", "\n", "ax.set_xlabel(r'training set size $\\longrightarrow$', size=14)\n", "ax.set_ylabel(r'model score $\\longrightarrow$', size=14)\n", "\n", "ax.xaxis.set_major_formatter(plt.NullFormatter())\n", "ax.yaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "ax.set_title(\"Learning Curve Schematic\", size=16)\n", "\n", "fig.savefig('figures/05.03-learning-curve.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussian Naive Bayes\n", "\n", "### Gaussian Naive Bayes Example\n", "\n", "[Figure Context](05.05-Naive-Bayes.ipynb#Gaussian-Naive-Bayes)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAecAAAFhCAYAAABK5GKRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "X, y = make_blobs(100, 2, centers=2, random_state=2, cluster_std=1.5)\n", "\n", "fig, ax = plt.subplots()\n", "\n", "ax.scatter(X[:, 0], X[:, 1], c=y, s=50, cmap='RdBu')\n", "ax.set_title('Naive Bayes Model', size=14)\n", "\n", "xlim = (-8, 8)\n", "ylim = (-15, 5)\n", "\n", "xg = np.linspace(xlim[0], xlim[1], 60)\n", "yg = np.linspace(ylim[0], ylim[1], 40)\n", "xx, yy = np.meshgrid(xg, yg)\n", "Xgrid = np.vstack([xx.ravel(), yy.ravel()]).T\n", "\n", "for label, color in enumerate(['red', 'blue']):\n", " mask = (y == label)\n", " mu, std = X[mask].mean(0), X[mask].std(0)\n", " P = np.exp(-0.5 * (Xgrid - mu) ** 2 / std ** 2).prod(1)\n", " Pm = np.ma.masked_array(P, P < 0.03)\n", " ax.pcolorfast(xg, yg, Pm.reshape(xx.shape), alpha=0.5,\n", " cmap=color.title() + 's')\n", " ax.contour(xx, yy, P.reshape(xx.shape),\n", " levels=[0.01, 0.1, 0.5, 0.9],\n", " colors=color, alpha=0.2)\n", " \n", "ax.set(xlim=xlim, ylim=ylim)\n", "\n", "fig.savefig('figures/05.05-gaussian-NB.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Regression\n", "\n", "### Gaussian Basis Functions\n", "\n", "[Figure Context](05.06-Linear-Regression.ipynb#Gaussian-Basis-Functions)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFVCAYAAADCLbfjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/9BBE/JV7MXFAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.pipeline import make_pipeline\n", "from sklearn.linear_model import LinearRegression\n", "\n", "from sklearn.base import BaseEstimator, TransformerMixin\n", "\n", "class GaussianFeatures(BaseEstimator, TransformerMixin):\n", " \"\"\"Uniformly-spaced Gaussian Features for 1D input\"\"\"\n", " \n", " def __init__(self, N, width_factor=2.0):\n", " self.N = N\n", " self.width_factor = width_factor\n", " \n", " @staticmethod\n", " def _gauss_basis(x, y, width, axis=None):\n", " arg = (x - y) / width\n", " return np.exp(-0.5 * np.sum(arg ** 2, axis))\n", " \n", " def fit(self, X, y=None):\n", " # create N centers spread along the data range\n", " self.centers_ = np.linspace(X.min(), X.max(), self.N)\n", " self.width_ = self.width_factor * (self.centers_[1] - self.centers_[0])\n", " return self\n", " \n", " def transform(self, X):\n", " return self._gauss_basis(X[:, :, np.newaxis], self.centers_,\n", " self.width_, axis=1)\n", "\n", "rng = np.random.RandomState(1)\n", "x = 10 * rng.rand(50)\n", "y = np.sin(x) + 0.1 * rng.randn(50)\n", "xfit = np.linspace(0, 10, 1000)\n", "\n", "gauss_model = make_pipeline(GaussianFeatures(10, 1.0),\n", " LinearRegression())\n", "gauss_model.fit(x[:, np.newaxis], y)\n", "yfit = gauss_model.predict(xfit[:, np.newaxis])\n", "\n", "gf = gauss_model.named_steps['gaussianfeatures']\n", "lm = gauss_model.named_steps['linearregression']\n", "\n", "fig, ax = plt.subplots()\n", "\n", "for i in range(10):\n", " selector = np.zeros(10)\n", " selector[i] = 1\n", " Xfit = gf.transform(xfit[:, None]) * selector\n", " yfit = lm.predict(Xfit)\n", " ax.fill_between(xfit, yfit.min(), yfit, color='gray', alpha=0.2)\n", "\n", "ax.scatter(x, y)\n", "ax.plot(xfit, gauss_model.predict(xfit[:, np.newaxis]))\n", "ax.set_xlim(0, 10)\n", "ax.set_ylim(yfit.min(), 1.5)\n", "\n", "fig.savefig('figures/05.06-gaussian-basis.png')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Random Forests" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Helper Code\n", "\n", "The following will create a module ``helpers_05_08.py`` which contains some tools used in [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb)." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Overwriting helpers_05_08.py\n" ] } ], "source": [ "%%file helpers_05_08.py\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.tree import DecisionTreeClassifier\n", "from ipywidgets import interact\n", "\n", "\n", "def visualize_tree(estimator, X, y, boundaries=True,\n", " xlim=None, ylim=None, ax=None):\n", " ax = ax or plt.gca()\n", " \n", " # Plot the training points\n", " ax.scatter(X[:, 0], X[:, 1], c=y, s=30, cmap='viridis',\n", " clim=(y.min(), y.max()), zorder=3)\n", " ax.axis('tight')\n", " ax.axis('off')\n", " if xlim is None:\n", " xlim = ax.get_xlim()\n", " if ylim is None:\n", " ylim = ax.get_ylim()\n", " \n", " # fit the estimator\n", " estimator.fit(X, y)\n", " xx, yy = np.meshgrid(np.linspace(*xlim, num=200),\n", " np.linspace(*ylim, num=200))\n", " Z = estimator.predict(np.c_[xx.ravel(), yy.ravel()])\n", "\n", " # Put the result into a color plot\n", " n_classes = len(np.unique(y))\n", " Z = Z.reshape(xx.shape)\n", " contours = ax.contourf(xx, yy, Z, alpha=0.3,\n", " levels=np.arange(n_classes + 1) - 0.5,\n", " cmap='viridis', clim=(y.min(), y.max()),\n", " zorder=1)\n", "\n", " ax.set(xlim=xlim, ylim=ylim)\n", " \n", " # Plot the decision boundaries\n", " def plot_boundaries(i, xlim, ylim):\n", " if i >= 0:\n", " tree = estimator.tree_\n", " \n", " if tree.feature[i] == 0:\n", " ax.plot([tree.threshold[i], tree.threshold[i]], ylim, '-k', zorder=2)\n", " plot_boundaries(tree.children_left[i],\n", " [xlim[0], tree.threshold[i]], ylim)\n", " plot_boundaries(tree.children_right[i],\n", " [tree.threshold[i], xlim[1]], ylim)\n", " \n", " elif tree.feature[i] == 1:\n", " ax.plot(xlim, [tree.threshold[i], tree.threshold[i]], '-k', zorder=2)\n", " plot_boundaries(tree.children_left[i], xlim,\n", " [ylim[0], tree.threshold[i]])\n", " plot_boundaries(tree.children_right[i], xlim,\n", " [tree.threshold[i], ylim[1]])\n", " \n", " if boundaries:\n", " plot_boundaries(0, xlim, ylim)\n", "\n", "\n", "def plot_tree_interactive(X, y):\n", " def interactive_tree(depth=5):\n", " clf = DecisionTreeClassifier(max_depth=depth, random_state=0)\n", " visualize_tree(clf, X, y)\n", "\n", " return interact(interactive_tree, depth=[1, 5])\n", "\n", "\n", "def randomized_tree_interactive(X, y):\n", " N = int(0.75 * X.shape[0])\n", " \n", " xlim = (X[:, 0].min(), X[:, 0].max())\n", " ylim = (X[:, 1].min(), X[:, 1].max())\n", " \n", " def fit_randomized_tree(random_state=0):\n", " clf = DecisionTreeClassifier(max_depth=15)\n", " i = np.arange(len(y))\n", " rng = np.random.RandomState(random_state)\n", " rng.shuffle(i)\n", " visualize_tree(clf, X[i[:N]], y[i[:N]], boundaries=False,\n", " xlim=xlim, ylim=ylim)\n", " \n", " interact(fit_randomized_tree, random_state=[0, 100]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision Tree Example" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAk4AAAFFCAYAAAAadmKrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10, 4))\n", "ax = fig.add_axes([0, 0, 0.8, 1], frameon=False, xticks=[], yticks=[])\n", "ax.set_title('Example Decision Tree: Animal Classification', size=24)\n", "\n", "def text(ax, x, y, t, size=20, **kwargs):\n", " ax.text(x, y, t,\n", " ha='center', va='center', size=size,\n", " bbox=dict(boxstyle='round', ec='k', fc='w'), **kwargs)\n", "\n", "text(ax, 0.5, 0.9, \"How big is\\nthe animal?\", 20)\n", "text(ax, 0.3, 0.6, \"Does the animal\\nhave horns?\", 18)\n", "text(ax, 0.7, 0.6, \"Does the animal\\nhave two legs?\", 18)\n", "text(ax, 0.12, 0.3, \"Are the horns\\nlonger than 10cm?\", 14)\n", "text(ax, 0.38, 0.3, \"Is the animal\\nwearing a collar?\", 14)\n", "text(ax, 0.62, 0.3, \"Does the animal\\nhave wings?\", 14)\n", "text(ax, 0.88, 0.3, \"Does the animal\\nhave a tail?\", 14)\n", "\n", "text(ax, 0.4, 0.75, \"> 1m\", 12, alpha=0.4)\n", "text(ax, 0.6, 0.75, \"< 1m\", 12, alpha=0.4)\n", "\n", "text(ax, 0.21, 0.45, \"yes\", 12, alpha=0.4)\n", "text(ax, 0.34, 0.45, \"no\", 12, alpha=0.4)\n", "\n", "text(ax, 0.66, 0.45, \"yes\", 12, alpha=0.4)\n", "text(ax, 0.79, 0.45, \"no\", 12, alpha=0.4)\n", "\n", "ax.plot([0.3, 0.5, 0.7], [0.6, 0.9, 0.6], '-k')\n", "ax.plot([0.12, 0.3, 0.38], [0.3, 0.6, 0.3], '-k')\n", "ax.plot([0.62, 0.7, 0.88], [0.3, 0.6, 0.3], '-k')\n", "ax.plot([0.0, 0.12, 0.20], [0.0, 0.3, 0.0], '--k')\n", "ax.plot([0.28, 0.38, 0.48], [0.0, 0.3, 0.0], '--k')\n", "ax.plot([0.52, 0.62, 0.72], [0.0, 0.3, 0.0], '--k')\n", "ax.plot([0.8, 0.88, 1.0], [0.0, 0.3, 0.0], '--k')\n", "ax.axis([0, 1, 0, 1])\n", "\n", "fig.savefig('figures/05.08-decision-tree.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision Tree Levels" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABHIAAADSCAYAAAAmGOcRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from helpers_05_08 import visualize_tree\n", "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.datasets import make_blobs\n", "\n", " \n", "fig, ax = plt.subplots(1, 4, figsize=(16, 3))\n", "fig.subplots_adjust(left=0.02, right=0.98, wspace=0.1)\n", "\n", "X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=1.0)\n", "\n", "for axi, depth in zip(ax, range(1, 5)):\n", " model = DecisionTreeClassifier(max_depth=depth)\n", " visualize_tree(model, X, y, ax=axi)\n", " axi.set_title('depth = {0}'.format(depth))\n", "\n", "fig.savefig('figures/05.08-decision-tree-levels.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Decision Tree Overfitting" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABB8AAAFtCAYAAABP6sLFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4A+byZI8PwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = DecisionTreeClassifier()\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "visualize_tree(model, X[::2], y[::2], boundaries=False, ax=ax[0])\n", "visualize_tree(model, X[1::2], y[1::2], boundaries=False, ax=ax[1])\n", "\n", "fig.savefig('figures/05.08-decision-tree-overfitting.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Components Rotation" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.decomposition import PCA" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def draw_vector(v0, v1, ax=None):\n", " ax = ax or plt.gca()\n", " arrowprops=dict(arrowstyle='->',\n", " linewidth=2,\n", " shrinkA=0, shrinkB=0)\n", " ax.annotate('', v1, v0, arrowprops=arrowprops)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABDYAAAGJCAYAAABxd7NLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nKZBY2uqjc7wAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(1)\n", "X = np.dot(rng.rand(2, 2), rng.randn(2, 200)).T\n", "pca = PCA(n_components=2, whiten=True)\n", "pca.fit(X)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "# plot data\n", "ax[0].scatter(X[:, 0], X[:, 1], alpha=0.2)\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " v = vector * 3 * np.sqrt(length)\n", " draw_vector(pca.mean_, pca.mean_ + v, ax=ax[0])\n", "ax[0].axis('equal');\n", "ax[0].set(xlabel='x', ylabel='y', title='input')\n", "\n", "# plot principal components\n", "X_pca = pca.transform(X)\n", "ax[1].scatter(X_pca[:, 0], X_pca[:, 1], alpha=0.2)\n", "draw_vector([0, 0], [0, 3], ax=ax[1])\n", "draw_vector([0, 0], [3, 0], ax=ax[1])\n", "ax[1].axis('equal')\n", "ax[1].set(xlabel='component 1', ylabel='component 2',\n", " title='principal components',\n", " xlim=(-5, 5), ylim=(-3, 3.1))\n", "\n", "fig.savefig('figures/05.09-PCA-rotation.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Digits Pixel Components" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_pca_components(x, coefficients=None, mean=0, components=None,\n", " imshape=(8, 8), n_components=8, fontsize=12,\n", " show_mean=True):\n", " if coefficients is None:\n", " coefficients = x\n", " \n", " if components is None:\n", " components = np.eye(len(coefficients), len(x))\n", " \n", " mean = np.zeros_like(x) + mean\n", " \n", "\n", " fig = plt.figure(figsize=(1.2 * (5 + n_components), 1.2 * 2))\n", " g = plt.GridSpec(2, 4 + bool(show_mean) + n_components, hspace=0.3)\n", "\n", " def show(i, j, x, title=None):\n", " ax = fig.add_subplot(g[i, j], xticks=[], yticks=[])\n", " ax.imshow(x.reshape(imshape), interpolation='nearest')\n", " if title:\n", " ax.set_title(title, fontsize=fontsize)\n", "\n", " show(slice(2), slice(2), x, \"True\")\n", " \n", " approx = mean.copy()\n", " \n", " counter = 2\n", " if show_mean:\n", " show(0, 2, np.zeros_like(x) + mean, r'$\\mu$')\n", " show(1, 2, approx, r'$1 \\cdot \\mu$')\n", " counter += 1\n", "\n", " for i in range(n_components):\n", " approx = approx + coefficients[i] * components[i]\n", " show(0, i + counter, components[i], r'$c_{0}$'.format(i + 1))\n", " show(1, i + counter, approx,\n", " r\"${0:.2f} \\cdot c_{1}$\".format(coefficients[i], i + 1))\n", " if show_mean or i > 0:\n", " plt.gca().text(0, 1.05, '$+$', ha='right', va='bottom',\n", " transform=plt.gca().transAxes, fontsize=fontsize)\n", "\n", " show(slice(2), slice(-2, None), approx, \"Approx\")\n", " return fig" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3MAAAChCAYAAABtV+bDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAHopkDAAAAAAf6P1QpRwQf0IzUAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_digits\n", "\n", "digits = load_digits()\n", "sns.set_style('white')\n", "\n", "fig = plot_pca_components(digits.data[10],\n", " show_mean=False)\n", "\n", "fig.savefig('figures/05.09-digits-pixel-components.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Digits PCA Components" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3QAAACeCAYAAAB6p0jCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4oCOiIiIiIjIoP4/QFJA2Z7Z0loAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = PCA(n_components=8)\n", "Xproj = pca.fit_transform(digits.data)\n", "sns.set_style('white')\n", "fig = plot_pca_components(digits.data[10], Xproj[10],\n", " pca.mean_, pca.components_)\n", "\n", "fig.savefig('figures/05.09-digits-pca-components.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manifold Learning" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### LLE vs MDS Linkages" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def make_hello(N=1000, rseed=42):\n", " # Make a plot with \"HELLO\" text; save as png\n", " fig, ax = plt.subplots(figsize=(4, 1))\n", " fig.subplots_adjust(left=0, right=1, bottom=0, top=1)\n", " ax.axis('off')\n", " ax.text(0.5, 0.4, 'HELLO', va='center', ha='center', weight='bold', size=85)\n", " fig.savefig('hello.png')\n", " plt.close(fig)\n", " \n", " # Open this PNG and draw random points from it\n", " from matplotlib.image import imread\n", " data = imread('hello.png')[::-1, :, 0].T\n", " rng = np.random.RandomState(rseed)\n", " X = rng.rand(4 * N, 2)\n", " i, j = (X * data.shape).astype(int).T\n", " mask = (data[i, j] < 1)\n", " X = X[mask]\n", " X[:, 0] *= (data.shape[0] / data.shape[1])\n", " X = X[:N]\n", " return X[np.argsort(X[:, 0])]" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_hello_s_curve(X):\n", " t = (X[:, 0] - 2) * 0.75 * np.pi\n", " x = np.sin(t)\n", " y = X[:, 1]\n", " z = np.sign(t) * (np.cos(t) - 1)\n", " return np.vstack((x, y, z)).T\n", "\n", "X = make_hello(1000)\n", "XS = make_hello_s_curve(X)\n", "colorize = dict(c=X[:, 0], cmap=plt.cm.get_cmap('rainbow', 5))" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABI4AAAG+CAYAAAD1KU+TAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nERERUUJsOCIiIiIiIiIiooT+P2wTBDSvVgX3AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from mpl_toolkits.mplot3d.art3d import Line3DCollection\n", "from sklearn.neighbors import NearestNeighbors\n", "\n", "# construct lines for MDS\n", "rng = np.random.RandomState(42)\n", "ind = rng.permutation(len(X))\n", "lines_MDS = [(XS[i], XS[j]) for i in ind[:100] for j in ind[100:200]]\n", "\n", "# construct lines for LLE\n", "nbrs = NearestNeighbors(n_neighbors=100).fit(XS).kneighbors(XS[ind[:100]])[1]\n", "lines_LLE = [(XS[ind[i]], XS[j]) for i in range(100) for j in nbrs[i]]\n", "titles = ['MDS Linkages', 'LLE Linkages (100 NN)']\n", "\n", "# plot the results\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6),\n", " subplot_kw=dict(projection='3d', axisbg='none'))\n", "fig.subplots_adjust(left=0, right=1, bottom=0, top=1, hspace=0, wspace=0)\n", "\n", "for axi, title, lines in zip(ax, titles, [lines_MDS, lines_LLE]):\n", " axi.scatter3D(XS[:, 0], XS[:, 1], XS[:, 2], **colorize);\n", " axi.add_collection(Line3DCollection(lines, lw=1, color='black',\n", " alpha=0.05))\n", " axi.view_init(elev=10, azim=-80)\n", " axi.set_title(title, size=18)\n", "\n", "fig.savefig('figures/05.10-LLE-vs-MDS.png')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## K-Means" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Expectation-Maximization\n", "\n", "[Figure Context](05.11-K-Means.ipynb#K-Means-Algorithm:-Expectation-Maximization)\n", "\n", "The following figure shows a visual depiction of the Expectation-Maximization approach to K Means:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABBsAAAERCAYAAAA64a8FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.datasets.samples_generator import make_blobs\n", "from sklearn.metrics import pairwise_distances_argmin\n", "\n", "X, y_true = make_blobs(n_samples=300, centers=4,\n", " cluster_std=0.60, random_state=0)\n", "\n", "rng = np.random.RandomState(42)\n", "centers = [0, 4] + rng.randn(4, 2)\n", "\n", "def draw_points(ax, c, factor=1):\n", " ax.scatter(X[:, 0], X[:, 1], c=c, cmap='viridis',\n", " s=50 * factor, alpha=0.3)\n", " \n", "def draw_centers(ax, centers, factor=1, alpha=1.0):\n", " ax.scatter(centers[:, 0], centers[:, 1],\n", " c=np.arange(4), cmap='viridis', s=200 * factor,\n", " alpha=alpha)\n", " ax.scatter(centers[:, 0], centers[:, 1],\n", " c='black', s=50 * factor, alpha=alpha)\n", "\n", "def make_ax(fig, gs):\n", " ax = fig.add_subplot(gs)\n", " ax.xaxis.set_major_formatter(plt.NullFormatter())\n", " ax.yaxis.set_major_formatter(plt.NullFormatter())\n", " return ax\n", "\n", "fig = plt.figure(figsize=(15, 4))\n", "gs = plt.GridSpec(4, 15, left=0.02, right=0.98, bottom=0.05, top=0.95, wspace=0.2, hspace=0.2)\n", "ax0 = make_ax(fig, gs[:4, :4])\n", "ax0.text(0.98, 0.98, \"Random Initialization\", transform=ax0.transAxes,\n", " ha='right', va='top', size=16)\n", "draw_points(ax0, 'gray', factor=2)\n", "draw_centers(ax0, centers, factor=2)\n", "\n", "for i in range(3):\n", " ax1 = make_ax(fig, gs[:2, 4 + 2 * i:6 + 2 * i])\n", " ax2 = make_ax(fig, gs[2:, 5 + 2 * i:7 + 2 * i])\n", " \n", " # E-step\n", " y_pred = pairwise_distances_argmin(X, centers)\n", " draw_points(ax1, y_pred)\n", " draw_centers(ax1, centers)\n", " \n", " # M-step\n", " new_centers = np.array([X[y_pred == i].mean(0) for i in range(4)])\n", " draw_points(ax2, y_pred)\n", " draw_centers(ax2, centers, alpha=0.3)\n", " draw_centers(ax2, new_centers)\n", " for i in range(4):\n", " ax2.annotate('', new_centers[i], centers[i],\n", " arrowprops=dict(arrowstyle='->', linewidth=1))\n", " \n", " \n", " # Finish iteration\n", " centers = new_centers\n", " ax1.text(0.95, 0.95, \"E-Step\", transform=ax1.transAxes, ha='right', va='top', size=14)\n", " ax2.text(0.95, 0.95, \"M-Step\", transform=ax2.transAxes, ha='right', va='top', size=14)\n", "\n", "\n", "# Final E-step \n", "y_pred = pairwise_distances_argmin(X, centers)\n", "axf = make_ax(fig, gs[:4, -4:])\n", "draw_points(axf, y_pred, factor=2)\n", "draw_centers(axf, centers, factor=2)\n", "axf.text(0.98, 0.98, \"Final Clustering\", transform=axf.transAxes,\n", " ha='right', va='top', size=16)\n", "\n", "\n", "fig.savefig('figures/05.11-expectation-maximization.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Interactive K-Means\n", "\n", "The following script uses IPython's interactive widgets to demonstrate the K-means algorithm interactively.\n", "Run this within the IPython notebook to explore the expectation maximization algorithm for computing K Means." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeIAAAFVCAYAAAAzJuxuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn; seaborn.set() # for plot styling\n", "import numpy as np\n", "\n", "from ipywidgets import interact\n", "from sklearn.metrics import pairwise_distances_argmin\n", "from sklearn.datasets.samples_generator import make_blobs\n", "\n", "def plot_kmeans_interactive(min_clusters=1, max_clusters=6):\n", " X, y = make_blobs(n_samples=300, centers=4,\n", " random_state=0, cluster_std=0.60)\n", " \n", " def plot_points(X, labels, n_clusters):\n", " plt.scatter(X[:, 0], X[:, 1], c=labels, s=50, cmap='viridis',\n", " vmin=0, vmax=n_clusters - 1);\n", " \n", " def plot_centers(centers):\n", " plt.scatter(centers[:, 0], centers[:, 1], marker='o',\n", " c=np.arange(centers.shape[0]),\n", " s=200, cmap='viridis')\n", " plt.scatter(centers[:, 0], centers[:, 1], marker='o',\n", " c='black', s=50)\n", " \n", "\n", " def _kmeans_step(frame=0, n_clusters=4):\n", " rng = np.random.RandomState(2)\n", " labels = np.zeros(X.shape[0])\n", " centers = rng.randn(n_clusters, 2)\n", "\n", " nsteps = frame // 3\n", "\n", " for i in range(nsteps + 1):\n", " old_centers = centers\n", " if i < nsteps or frame % 3 > 0:\n", " labels = pairwise_distances_argmin(X, centers)\n", "\n", " if i < nsteps or frame % 3 > 1:\n", " centers = np.array([X[labels == j].mean(0)\n", " for j in range(n_clusters)])\n", " nans = np.isnan(centers)\n", " centers[nans] = old_centers[nans]\n", "\n", " # plot the data and cluster centers\n", " plot_points(X, labels, n_clusters)\n", " plot_centers(old_centers)\n", "\n", " # plot new centers if third frame\n", " if frame % 3 == 2:\n", " for i in range(n_clusters):\n", " plt.annotate('', centers[i], old_centers[i], \n", " arrowprops=dict(arrowstyle='->', linewidth=1))\n", " plot_centers(centers)\n", "\n", " plt.xlim(-4, 4)\n", " plt.ylim(-2, 10)\n", "\n", " if frame % 3 == 1:\n", " plt.text(3.8, 9.5, \"1. Reassign points to nearest centroid\",\n", " ha='right', va='top', size=14)\n", " elif frame % 3 == 2:\n", " plt.text(3.8, 9.5, \"2. Update centroids to cluster means\",\n", " ha='right', va='top', size=14)\n", " \n", " return interact(_kmeans_step, frame=[0, 50],\n", " n_clusters=[min_clusters, max_clusters])\n", "\n", "plot_kmeans_interactive();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussian Mixture Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Covariance Type\n", "\n", "[Figure Context](http://localhost:8888/notebooks/05.12-Gaussian-Mixtures.ipynb#Choosing-the-Covariance-Type)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxsAAAD9CAYAAADUK2rLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nk4yv0gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.mixture import GMM\n", "\n", "from matplotlib.patches import Ellipse\n", "\n", "def draw_ellipse(position, covariance, ax=None, **kwargs):\n", " \"\"\"Draw an ellipse with a given position and covariance\"\"\"\n", " ax = ax or plt.gca()\n", " \n", " # Convert covariance to principal axes\n", " if covariance.shape == (2, 2):\n", " U, s, Vt = np.linalg.svd(covariance)\n", " angle = np.degrees(np.arctan2(U[1, 0], U[0, 0]))\n", " width, height = 2 * np.sqrt(s)\n", " else:\n", " angle = 0\n", " width, height = 2 * np.sqrt(covariance)\n", " \n", " # Draw the Ellipse\n", " for nsig in range(1, 4):\n", " ax.add_patch(Ellipse(position, nsig * width, nsig * height,\n", " angle, **kwargs))\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(14, 4), sharex=True, sharey=True)\n", "fig.subplots_adjust(wspace=0.05)\n", "\n", "rng = np.random.RandomState(5)\n", "X = np.dot(rng.randn(500, 2), rng.randn(2, 2))\n", "\n", "for i, cov_type in enumerate(['diag', 'spherical', 'full']):\n", " model = GMM(1, covariance_type=cov_type).fit(X)\n", " ax[i].axis('equal')\n", " ax[i].scatter(X[:, 0], X[:, 1], alpha=0.5)\n", " ax[i].set_xlim(-3, 3)\n", " ax[i].set_title('covariance_type=\"{0}\"'.format(cov_type),\n", " size=14, family='monospace')\n", " draw_ellipse(model.means_[0], model.covars_[0], ax[i], alpha=0.2)\n", " ax[i].xaxis.set_major_formatter(plt.NullFormatter())\n", " ax[i].yaxis.set_major_formatter(plt.NullFormatter())\n", "\n", "fig.savefig('figures/05.12-covariance-type.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Further Machine Learning Resources](05.15-Learning-More.ipynb) | [Contents](Index.ipynb) |" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" }, "widgets": { "state": { "a65a11f142ca44eebc913788d256adcb": { "views": [ { "cell_index": 92 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }