{ "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)!*\n", "\n", "*No changes were made to the contents of this notebook from the original.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Customizing Plot Legends](04.06-Customizing-Legends.ipynb) | [Contents](Index.ipynb) | [Multiple Subplots](04.08-Multiple-Subplots.ipynb) >" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Customizing Colorbars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot legends identify discrete labels of discrete points.\n", "For continuous labels based on the color of points, lines, or regions, a labeled colorbar can be a great tool.\n", "In Matplotlib, a colorbar is a separate axes that can provide a key for the meaning of colors in a plot.\n", "Because the book is printed in black-and-white, this section has an accompanying online supplement where you can view the figures in full color (https://github.com/jakevdp/PythonDataScienceHandbook).\n", "We'll start by setting up the notebook for plotting and importing the functions we will use:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.style.use('classic')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we have seen several times throughout this section, the simplest colorbar can be created with the plt.colorbar function:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BsHGB0C+kAtk7H+JWerTAcgM96mvWc5NFy490DI1j7CcO2irUFo8O4mxrMLYxtVw+cdKu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nx4w76IT9F7Kq15yXS87v2/CvzVlxz7gwVDSDsvSgYZm3XZyMaULCEbsEvAhgPbl89oy0dASiwf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\naZ5hrjPevFxyai8r0OrNl+u86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+An9phfpYvyuE+8XxrtExj+M/B8M3uOmS2Js1Tuu2Ke\nlP4c+GII4R1yzJPPYT35/PUpuvg8UvL57WI0hPA7IYRnhxB+kCjHT4UQfgX4u33kN/H8beDrZvaC\ndOiVwBfYUxkTh8c/ZmaHqTLTK4n5tfvI76ZJE+fiMQ2lHzOze9KzvkH+57uHrjqCoxvwWmKk9mHg\n3qvmR/h6OXEC6gPEaNvnEq/fC3wy8fwJ4GnyP28hRuMeAl59hbz/NGM0ea/5BX6Y2Ck+AHyEGE3e\nW56JExAeItZwew8xC2Kv+AU+AHyTOEP9a8AbgadflEfgR4DPp7b5jqvS58vc5qTrmWaaaSb2a5g8\n00wzzXRlNIPhTDPNNBMzGM4000wzATMYzjTTTDMBMxjONNNMMwEzGM4000wzATMYzjTTTDMBMxjO\nNNNMMwHwf3ceQw5DTt3BAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 10, 1000)\n", "I = np.sin(x) * np.cos(x[:, np.newaxis])\n", "\n", "plt.imshow(I)\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll now discuss a few ideas for customizing these colorbars and using them effectively in various situations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Customizing Colorbars\n", "\n", "The colormap can be specified using the cmap argument to the plotting function that is creating the visualization:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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7LIfYKEEsSeNm3c9prAX+pe17M3BxM/K9qmGQ2rcEubjKmluBVzmx5WztV62d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\nkUcemVWmyg4hlz8C8COttW8H8A0APw7gUwD+DMC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(I, cmap='gray');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the available colormaps are in the plt.cm namespace; using IPython's tab-completion will give you a full list of built-in possibilities:\n", "\n", "plt.cm.\n", "\n", "But being *able* to choose a colormap is just the first step: more important is how to *decide* among the possibilities!\n", "The choice turns out to be much more subtle than you might initially expect." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Choosing the Colormap\n", "\n", "A full treatment of color choice within visualization is beyond the scope of this book, but for entertaining reading on this subject and others, see the article [\"Ten Simple Rules for Better Figures\"](http://journals.plos.org/ploscompbiol/article?id=10.1371/journal.pcbi.1003833).\n", "Matplotlib's online documentation also has an [interesting discussion](http://Matplotlib.org/1.4.1/users/colormaps.html) of colormap choice.\n", "\n", "Broadly, you should be aware of three different categories of colormaps:\n", "\n", "- *Sequential colormaps*: These are made up of one continuous sequence of colors (e.g., binary or viridis).\n", "- *Divergent colormaps*: These usually contain two distinct colors, which show positive and negative deviations from a mean (e.g., RdBu or PuOr).\n", "- *Qualitative colormaps*: these mix colors with no particular sequence (e.g., rainbow or jet).\n", "\n", "The jet colormap, which was the default in Matplotlib prior to version 2.0, is an example of a qualitative colormap.\n", "Its status as the default was quite unfortunate, because qualitative maps are often a poor choice for representing quantitative data.\n", "Among the problems is the fact that qualitative maps usually do not display any uniform progression in brightness as the scale increases.\n", "\n", "We can see this by converting the jet colorbar into black and white:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from matplotlib.colors import LinearSegmentedColormap\n", "\n", "def grayscale_cmap(cmap):\n", " \"\"\"Return a grayscale version of the given colormap\"\"\"\n", " cmap = plt.cm.get_cmap(cmap)\n", " colors = cmap(np.arange(cmap.N))\n", " \n", " # convert RGBA to perceived grayscale luminance\n", " # cf. http://alienryderflex.com/hsp.html\n", " RGB_weight = [0.299, 0.587, 0.114]\n", " luminance = np.sqrt(np.dot(colors[:, :3] ** 2, RGB_weight))\n", " colors[:, :3] = luminance[:, np.newaxis]\n", " \n", " return LinearSegmentedColormap.from_list(cmap.name + \"_gray\", colors, cmap.N)\n", " \n", "\n", "def view_colormap(cmap):\n", " \"\"\"Plot a colormap with its grayscale equivalent\"\"\"\n", " cmap = plt.cm.get_cmap(cmap)\n", " colors = cmap(np.arange(cmap.N))\n", " \n", " cmap = grayscale_cmap(cmap)\n", " grayscale = cmap(np.arange(cmap.N))\n", " \n", " fig, ax = plt.subplots(2, figsize=(6, 2),\n", " subplot_kw=dict(xticks=[], yticks=[]))\n", " ax[0].imshow([colors], extent=[0, 10, 0, 1])\n", " ax[1].imshow([grayscale], extent=[0, 10, 0, 1])" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('jet')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice the bright stripes in the grayscale image.\n", "Even in full color, this uneven brightness means that the eye will be drawn to certain portions of the color range, which will potentially emphasize unimportant parts of the dataset.\n", "It's better to use a colormap such as viridis (the default as of Matplotlib 2.0), which is specifically constructed to have an even brightness variation across the range.\n", "Thus it not only plays well with our color perception, but also will translate well to grayscale printing:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('viridis')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you favor rainbow schemes, another good option for continuous data is the cubehelix colormap:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noQtQSOgCFPoDAVPczXaO6jAAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('cubehelix')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For other situations, such as showing positive and negative deviations from some mean, dual-color colorbars such as RdBu (*Red-Blue*) can be useful. However, as you can see in the following figure, it's important to note that the positive-negative information will be lost upon translation to grayscale!" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "view_colormap('RdBu')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll see examples of using some of these color maps as we continue.\n", "\n", "There are a large number of colormaps available in Matplotlib; to see a list of them, you can use IPython to explore the plt.cm submodule. For a more principled approach to colors in Python, you can refer to the tools and documentation within the Seaborn library (see [Visualization With Seaborn](04.14-Visualization-With-Seaborn.ipynb))." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Color limits and extensions\n", "\n", "Matplotlib allows for a large range of colorbar customization.\n", "The colorbar itself is simply an instance of plt.Axes, so all of the axes and tick formatting tricks we've learned are applicable.\n", "The colorbar has some interesting flexibility: for example, we can narrow the color limits and indicate the out-of-bounds values with a triangular arrow at the top and bottom by setting the extend property.\n", "This might come in handy, for example, if displaying an image that is subject to noise:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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OiYpYGd9flNO4iMqlJxNVxj7JREN2dOnCC6yULAFUAtKJAwIypDjwrEsj3Uu4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OAAAg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\nczUA4OGDB3DjjTfe3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tWFRj5Q6A0KLGfl+ZczjZXMGvZerlGs9CzQC6CPy0WbABbefu5T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SUHqXTKFrALCUQLtCCtJ96wbQGZfVGKixrjIdqDL3YAuYoqH1lHK8Yvl3WJix68KzATtCWRPI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\ntdqVtPv2vXfvyR/dPdM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=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# make noise in 1% of the image pixels\n", "speckles = (np.random.random(I.shape) < 0.01)\n", "I[speckles] = np.random.normal(0, 3, np.count_nonzero(speckles))\n", "\n", "plt.figure(figsize=(10, 3.5))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.imshow(I, cmap='RdBu')\n", "plt.colorbar()\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.imshow(I, cmap='RdBu')\n", "plt.colorbar(extend='both')\n", "plt.clim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that in the left panel, the default color limits respond to the noisy pixels, and the range of the noise completely washes-out the pattern we are interested in.\n", "In the right panel, we manually set the color limits, and add extensions to indicate values which are above or below those limits.\n", "The result is a much more useful visualization of our data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discrete Color Bars\n", "\n", "Colormaps are by default continuous, but sometimes you'd like to represent discrete values.\n", "The easiest way to do this is to use the plt.cm.get_cmap() function, and pass the name of a suitable colormap along with the number of desired bins:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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T2fWmpkJ+Sn7XtWsUp9ssVubpm8rGomW6M3V0HwJziZmyB+ZcmDq6T/V+AxIZ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\n9ZTSxwEgqDmK6qxZDCmlAwC+DqAXgghOUUpfAlAqUcqvEoD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(I, cmap=plt.cm.get_cmap('Blues', 6))\n", "plt.colorbar()\n", "plt.clim(-1, 1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The discrete version of a colormap can be used just like any other colormap." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Handwritten Digits\n", "\n", "For an example of where this might be useful, let's look at an interesting visualization of some hand written digits data.\n", "This data is included in Scikit-Learn, and consists of nearly 2,000 $8 \\times 8$ thumbnails showing various hand-written digits.\n", "\n", "For now, let's start by downloading the digits data and visualizing several of the example images with plt.imshow():" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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UYtDKKnq9uq7Ipa5bbs11qmlDBwcHyGQyHjpBiwtYmhyLxQxw+fvJXWYyGctW\ncD1d/t4gTEGXc+V6Ywq6nHsKuLiervLPmwaoXA9Q35nr6bLkW29XBHtyzAysKW1JgFaA34b5ebFu\nxs9jgXlVW8vTJTemGq8EYeY+NhoNi/aR56W6F/P1mFxOoMjn85bcvy1zuRyesryOukUeBAs//i+I\nsXBj8CpcKBSs6mgwGBhAaF6hJm4zyOOXSUKw5ffVTRhEEFBbtrATrNbmx+NxD+De3d3da3OtpZhu\nN5F1OD3lHD9nSnkNh0PE43HjRgkMHJcrVajeYtCBXi2YYUWdetKhUAjj8dgKZyqVinWxdRuYatdl\n3nyY+bKqp+sGZgF4bmmlUsnTgYW3Nn4XYgTfKdcjf4arULht0ziVYoCOk3OpQUJ+ak6yuz6/tF7X\n4nQBeBbiyckJer2e1fmPRiPjbVWzlmDNih8mfD9//hzHx8fIZDJb0Qng+FXjgR4mo6W5XM4jws32\n71r80e12TdwniPbwyj/yZ7Gb8nK5RDweR7FY9ACuqwOspcAADIDVe2RlFz2SoARK9NpLoGIwsNVq\nIRQKeYJSi8XCRNfpgWofLffJ5XI4ODh4suulRv1582AOaS6Xw+HhoXmLpC+CNnfNkYZz20+x3Jfi\nR3zvCqjs3EA+lx56UNVzTMM6Pj7GZDKxDAC9RXCdaa4uD1XyvIeHh8hms0Y/PIWpp840TLeJLh0C\n4NONXnOd+Z3cQ/FLtnL2AgesoMurBEGEXhY5X9107IrAhZDP53F4eGgTvy1xFpePUs1SjocgxlQ4\nvw1AndWgvF03kTufzwPwLmhWzRB4NQjFYBtPXqbhhMNhj7A5vR7eNDY198bAayUPAS2V1DJxBq2Y\nXB+N/tamm40LT09PUS6XbX0wfWcb5hckAT7lvrrZJaVSyTpyBCUO75quOVIMWo3odrFmvASARwti\nf3/fKCYNoqm28aamPHkoFEIymfTQifwuvOmQImPZNNsicV6fGnRV0tEFXFJ+xC2uZa3sI+hqamtg\noMtB8ocyjYagy7QmFxxYiaT8bCwWs7JVar+SZmBi/zaMoKuJ+y7oRiIRT+6xn6ebz+c90nCbjokb\nV8ugtXxWldE4t9p+iBuINeQa8VYPl9dA5sEG4em6QQZV9mK6m17FOPea58nveXJygvPzczx//hzF\nYtGTcfF7eboAPCpkpVLJ0q625em6ue8MPvOhloXbaJNxEX4S0JSyY6PNoGIldAxCoZDhQaVSsZsb\n95CKTnH73JrXAAAgAElEQVQP8u+Wy2UUi0VTl3sq0FV6A4DRWgq6buk0g9iup8u99NhDeCXQVW7D\n3cShUMjy8kgv9Pv9e6dHPB43sevXr1/j5cuXnmvqNolz/dkaACDo6oKnl+6CLvnSIOgF4FM/KB42\nLFUkrzyfz+8dZpVKBZlMxtLp+GdVwUu/I78nW1sHQS+4oKX0Qq1Ws7QgNXq32sqaG+/k5ATPnj3D\nixcvUCwW791OgjYXcF3ujmvapRc0lXGbnq7qKtfrdctQqFQqVlCiD+eTB/bh4eE9TzedTvtys+sa\ny7ypLFcqlTyA2+l0zEHhvuIcE3SPjo6Qz+ctxfGp6QU6PgRcUh6JRMLjeGlln8Z3NI/6sYfwo+kF\n9991s5GIZvqMahZQuo/AwOCRRj63bX4LzG/T+ZUeu9fjIKUd/TaA++Lc9KnFYuFpgeMGm/xKMDfJ\ne33M+GlaWEAvwTUGYvld3TX0VIEU19x3rvy/jvMpdEHcNafKfHxc45xq0NQtfQ76kOC88Pe6a1Ln\nid+J5jfObc+ra3qwu4+byeAecvrQHruvfr8a253tbGc7+4pt3QMi9Dl0DoVCf5weHP/flsul7zfd\njXV9+1rGCezGui37Wsb6tYwT+MxYg7pq7mxnO9vZzr5sO3phZzvb2c6e0Hagu7Od7WxnT2g70N3Z\nzna2sye0HejubGc729kT2g50d7azne3sCe2zxRFfVRrGbqxr29cyTmA31m3Z1zLWr2WcwMNj/WJF\n2kMpZZRv1EdLFSuVCu7u7vDu3Tu8ffvWPjOZjKdtzCpaC19KRmbVi1uX3mq1rOcY+481Gg00m01r\nPNjv9+/pRKjiPkuFKc7DhyWMfFKp1KMqax6aV/e/j8djXFxc4OPHj/Z5c3Njc3x7e4v5fI7/83/+\nD/71X//VPtkQUquS/ObzMeOcz+c2X81m07QfKPrNx225zRJq6kJQaU4VmaLRKP7lX/4F//zP/2yf\n5+fnVt3Ez03mlHKj+nz48AE///wzfv75Z/zyyy+o1Wqe38mOCyxZTqfTyGazphlyenqKk5MTkyHV\nsT12Xh9rupYnkwlqtRr+7d/+zfNQ9IYWjUbx17/+1fM8f/7cI8lK/YjHjNVvvJVKBRcXF57n+voa\n19fXuLq6wvX1NQ4PD/HmzRt7Xr58iVKpZGXDpVLp0Rjw2HFquyPKy3JcfCgaRdEgSqmq3OdisbBK\nOQpTvX79Gq9fv8abN2/w+vVrnJ6emkphLpdDPp//oq7F2oXOrLNnF9urqyuPMMdgMAAAqx+n6PJ8\nPjc9AKrvB23ajM9t985JpvhGMplEKBSyunRtjUIBmslkgna7baChwi0AAhUH58/jQ+Uudqmt1+to\nt9se7VQuCC1RVb1P/sxVJeh0PJQU7HQ6BrqNRgOtVsvEyN0yac4La9n579oKPR6P45tvvsHp6SmK\nxaLpB7jfZxOjJjHF9ZvNJm5ublCr1TzC+tPp1NNXjvKEvV4PiUTCuklEo1HTjdjf3/esmW3JPbpd\nfakHEIT+x2PNLX+lzgp1fykxCXzSENnf3zdh+I8fP3o6QCcSicDHzzWv4jQ88FU8iiXqe3t7JgRE\nuUmKRmnpPJ2F5XJpovf7+/umzRAO/9aA9TH7PxDQvby8xE8//XRP9zUSiVjrGQIGxTn4hYM2rf/X\ndu8U22Z3C0qyUWjDb7L4cyg+ouaCB9WoNgVdjl8Xz2g0Qq/XQ7vdRq1W84AuDwetd9efpR0YVpWg\n05/DbgadTsf6ctH7pfKV+92pdKaPepLU3njx4gXOzs6shTw7MgTVNUS7XFSrVbvtEHQpZKTvMxKJ\nYDAYeMbKFkSqOpZMJu3P8zsHbSqmT5F4Cq4EpQPy2HGoLoSCLhsVKOjmcjnEYjHM53O0Wi1rcR8K\nhXBwcIBCobCVQ8PP6SLoEgNURY6Aq2I2/GdXynG5XFrHFv4uKuZls9ntgi5bcjQaDVxdXeGnn36y\nFs/8wvF43OPpsr89AFu827DHeLoUWKGoczQavScswwXFFzUajQDAA3TanC8InVrg0yZzuwjw4Or1\nejbPlMtUz5A/Q09nvSKuCgz0dNkhwvV0CbrqRWvXBcr+UYtWVeeSySSOjo5wfHxsDTVJJwTlOaqn\nW61WcXl5iUqlYi1u6On6iZ5o+3a+52w2i8PDQwyHQ0+L+G0ALuD1dEkx/F6ertuVmg4BQZdgxs4f\nXMPspddoNJBIJJDP53F6ero10NX5Iugq8GqbIAp1uQJRxA3+PaqO0dOlrjYlSg8PD5/e0wW8vYeW\ny6VHE5RdaAl2bBUdtH3O0+UCyWQyHp3Zg4ODe5NOj5L0QrPZvNfTSXtQBaGxq94EvRvX06X0JOeZ\n13E/ZSeOh51tV6UW+HP8PN1ms+mhF1xBcJXNY4cISgzyYSsZcmKkF4Dg+o5xDgm6FxcXRjMo6Lqq\nbzpXlHmkh6trg/+fesxBK2W5nq56Xr8H6Or13aUX6IgQdCnETtH9aDSKQqGA09NT4023MUa9Fbie\n7mAwsHZLxCIq2+me0bGr80IAbrfbmM1mFuuhfvSXbG3Q5QAIUPP53DwB9mdiaxs2/Gu324jH46Zh\ny1MxaNMrP0Exl8thOBwa0BNw+ezt7dkLIqXA4IVyaLym68/naRmUV6ateJTHZYcO6tKqF0lPu16v\n4+eff8bBwcE9j027sqos32PM1c91NZBVqo9eNz0Adgc5Pj62xo4UreejeqqbzKPrjbFFvTZMrdfr\nxuvxUCBY6Pjp7ei6UJlMVypz1QPX/Xt64CrA0VHgrYK0CL8DbzT6bggmKgOqEorrcOXuTcbtvEGu\nW98rgZhNDrTnIOdVA6Wb3m50LeptNpPJoFAo2Hxpu3fSRi5nTT1oxjM0lsPbD9eKS+19ztYGXf3l\nvGJns1nrQFsoFJBKpTx/p9frYX9/H/l83lzzoI0TzjYc4XDYFnEsFkM6nUapVLI/x8li1gOv0Vzo\nBGoNlrG3GlX5N+mw6tp0OvVc15gloO21eXAVi0UUi0XkcjkTXb6+vka73fY02ePhoA1A9/f3VxqX\n9pTiQqUHwY3tNvjjHJVKJRMq5wGhh4Z2it304GL0Wnk5bYzaarXQbDYNqAhMfkLWvEYyONzv9wMN\n8HG8CrTasp4PM0b4kBphK3muc22qqB16Ocek0VYBCDXueR4SXA9sB5VOp1EoFDwPuywDsIalFCpn\nkJhzqnrFmxhv0wRJHpQ8FMg1K18fiUQ8Byr/POM54XAYd3d3nj3APcXec4+NUW0EuupRak+v09NT\nnJ2dIZ1Oe9Iyut2u8bzsOLEN45h4JeRLSKfTKBaL1qZar2rD4RAADHTpWSroktdj9wO3rTWv75vY\nbDYz2oYpYZVKxTyb2Wxm/c5KpRLOzs5QKBTMM2aWBa94XBzpdNoT5FjlWqeeAw+dRCKB0Wjk8aa0\nCSbXA9vBHx4e4ujoCNls1vNneFgRMIK6Lei1kldbBV4eROxmkkwm7UDiYdrtdnF5eYmrqyvjMNWz\nCQp0NetDgze8ZfG2U61WLS1TQZe3L77z/f19pFIppNNpO+B4I9skQKleJH+ftk5nZ2+24To5OUG1\nWgXwG+Dymh6NRj0ZMVxXwONb3nxujFyrOlYGu3K5HMrl8j1PNRQKeXr70SFkLIX/n4cb0wnz+bwH\ndB8zr4F7ukdHR3j16hW++eYbZLNZW7QE3b29PfT7/cAaJPqNi5PIaw1BR70fjocPaYfpdGqgy3Ey\nWELw9vN0g0p/Y4SXAcrLy0tUq1XLJWbfuWQyiVKphGfPnqFUKuHy8hLtdtv+TiQS8VzdC4UCAG87\noFWM3117rg2HQw/g6pWN0VzX02XHaBdoVa1/E6O3OJlMMBwOLbJO0KXXmslkbLw8GNxuxPV63TJb\nSFG4ActNTekQDf5objNBt1Kp4Pr6GtVqFY1G456nS9Alrae0Dd/TOimDNDdNUik2gm6xWMTJyQle\nvHiB58+fI5VKYTqdWtuh2Wxm+4RUGgFX21ZtYlxHXLN0FPL5vGUnuBQJ4xauM9ZsNi2fmS2c3EN6\nK6CrXJXyTy63mclkUCqVcHp6ilevXiGbzdpJvVwu0e/3EYvFMBqNtubpKm3wOavVaqhWq1gul56e\naBqR1QXNKygDP3zYUI9Xt1VTsdzrJYNVtVoNNzc3uLq6Mq+b+YA61ycnJyiVSmg0GphOp6jX6/jp\np58QCoU845xOp9ZIdDKZrMQ/6gHLd60pYHo9VO9HuxHzYdBCqY+gTQszNE2IDTO73S4ODg7sYDo8\nPMTJyQnOzs7slnZ6eoqbmxtLD7q5ubnXViYIT1eDvgQhZsxw3FyrLEKpVqvWDXgymViQVANDvI2o\nl7sJoLlBRgCem086ncZ8PkehUPD0vAuFQqjX60Yr6W1GA4PMHto0EP3Y/e/y6UwrZMBNb8kMonGe\n6cTl83kUCgULygdOL7iJ7348J7kjJe35xdzIa1Adadc1XkGZBsUo9mg0su+m3A29u5cvX+L58+cW\nied35gtaxZbLpafv1WQy8WwsejTz+RzRaNR+H4GWKVjqMdLT0yugXqN5xdzUNEpM70wrgjRgEQqF\njLYhB01q5vfohwbA08Dx7OwM5+fnODw8tLQ1BQf1QIPMj9UCAz7MUtGH2SLMGCHtFVST0XUtGo16\nuoKz0ze7+ipdwgOQdB3zW/UAfsoeaS6tMx6PjTvn5+3tLa6urtBsNo1aInXDjAXdh4HTC5rCxE+9\ncus1xp1Ebk5e1fkznjLdxTVtc83F7YIug34MDJZKJRwfH+P4+Nj4SZ7e6ywaBu/ogfX7feNwK5WK\n0QpalhqLxQx0NcVKr7ws/CDo0vPRwyGoogNNzdF/H4/HmE6nHsBtNps4Pj7G2dmZZbtks9mNx7GO\naVCVrd+ZzpZKpTygqx16gwZd8pqMfbBys16v22en07HgKtcJD+nfE3SZh53NZjEej+0Kz4IRnTdS\nJqPRyOg68qPqpD0V6BKTuGaHwyHq9brRc1dXV2g0GkZNTSYT83JTqZTRZoeHh4YDjCN9yR5NLyjo\nkhfhxGmqmNsRVL/gH8nTJe+nFXMsgFBPN5/Pmyf07Nkzq6+mt8Zr6jrdVunpcrM1m03zdBV06X2R\nIz05Obn3sgm69HQJGhowWtcjf2jsrqerXk0kEjGvhoB7e3uLTqeDu7s784p+L3M93RcvXnjoEKYx\ncT75HdVpCMrTJaXUbDZRrVZNJ+Tm5gbX19dWlspHi5C2ERd5rDEtMJfLYbFYWCroYz3d3xt0+V65\nRuv1Oi4uLvCPf/wDP/74oxUhEfcUdNXT5S0/UNAFvKk43GBKL7ierk6in6dLt/73MvV0CbqDwQDj\n8dgXdN++fYu3b996AkUueb7qgqGnS9BleSoBlyW/9BwymQxOT09xfHzsudYwi0Q9Xb6bh+iFoAJW\nCkg6B+TWBoOBFcbs7+9jOBzavJ6enm40hk2MoMsMkOfPn9/T3lBPV2v5g7qluZ4ur7SuwBHfp5sb\nvG5+cFBGeoFUwWQy8ewL9+ajni7/jl8O8VOYe5gOh0M0Gg1cXl7iH//4B/7jP/4D4/HY1i0xTvlc\nerpanRoo6OpC1Ch+Npu1iSwWixZYYi6en1iHLl4G09zqn22be2ppLh4LENwFw6olpo4RWDYxDd6p\nypEWZijny5JgJnMz64JpZarkpdV/m3q6ymcxz1qv21/y/Dj+Tqez9ZRBN71NS71Ve0Kzb/wOTzc7\nh8FUFk3wyp9MJj23vlXHqkU8mUzG1iMzGNy8XfW+lOrzu42qaEvQpusLgPHzrFZlutVgMLCSdb8A\nrFtJ+RTm4pneygnEjI0wRZSBs2w2i1QqZXtK8/0fY48CXbfKIxQKGeBy00ejUZTLZSPSCQpuHbSK\nSnABaTT4qU469XSYFcBacZYnjsdjS3XhQcLij1AoZCfguvbQ/CiI8QpK7pnCHPSMkskkAODnn39G\npVJBr9ezq5vmFW/C6fIayDxMrczRfGB3Y/MAY0SYh/M2OX2/4him9DEJHvAGUnj46xp0vx/zMmOx\nmKf+fn9/3674XPOrjJWFLtzgzELQKiqdPz5KN7iFFX6iONswOiAE23A47JHyHI/HqNVq6Pf7WCwW\ntud4K1YP96mB18UzN3ecBwPfAWM65XLZ0kS5nlat8Hu0p8tNzMXIRcF8PaoKsToqGo3aNUIrhFzg\n1dJacmhPMfEMpBweHtp3083EVDKCLtNBKAlJLmtTc+fHBV0m5ZMGiUajGAwGHq3ZxWKBm5sbSyUi\ngLgpRKwaW/VgU3Dg+6aXQlCnt6c2nU4tGkyBpMd6xpuYWxzDPEpucuC+xoUGH/0OFYIugZUCOrzx\nMKi0KugyCE0vmddZbvZyuWzBHGpcMOjGmxkzR1zNgW3PNfcN8Ck3VnOLWVHJ8t94PI50Om2g61bI\nPaWnq2XwTMN0FfHC4TCy2azphhwdHXk0tEnVrZpCuBLoan03AA/gcjJZdqig+zlPVxfEU046T116\nrLFYDMPh0KqVFHTpAU8mE/vz2Wx24yDG524Cyt0RdFnJw4XOFz2fz21D0qvwK9vVqqRV5prgQN1R\nTbZndRwPYDVWxt3d3VlQYtuBVL/iGF4F3XQ5BVxef/kzgE80BQ8VP0+XB9DBwYFptD7WeIPgplch\nIAIubzSaNqZBPq5J9XTdW9O26AWCLtdaKBQyiqvVauH6+hqNRsPj6e7t7Rk3qgH3p6QW+XsImHQe\nlL9lhSkPv6OjI5yenuLw8PBe1tCqY1+JXlAjCNOTmkwmnioj8o3KL7mcFK93XDRPGRDgy2c9djQa\ntegxPSOOm/q7k8nEsgjK5TKm02lgnLRebVVAhEDLSjWClXJ6Ll+u3iiDaLxiq5TdKmPjRqdnRqpC\nvUBXMITZIO12G9Fo9F6ZpV7rdd422Xh+yfHq5Wtw15X/o/cOfFrfWhBCZ4Jg1+/3zStdJ32L86q5\nyqwipEDTcDhEpVLxJN9r8QdvLiqSo2vDFeUJ0hS4GLilsA0LSlg1B8C+A8uTeT0PIptmVXNve3wP\ndFI4VhXwechLX9UC0V7QF0oAYNS60+lgNBrZ9U0BRVOtNlUXWtU4Fi7kRCKBQqGAs7Mzq1AbDAYe\nxSr3itfpdOxEVJBcZQz0mkulEubzuYGvFjnowtTbgxtQAWB8JoNeDMysU67oN16+awZSlcpwD1mX\nq9NMFgYPh8OhZ11sK21IAydUEOPN5vb21g4PPnqbU3UxUg+qORJkabD+bP4uVxjI73fqd+MNR1MJ\ntzGnelNw1dyouUw6TmkoimE9NsXqKYw3Iw1oArDvVavV7LtGIpGN9LPXBl3gPi/iRtubzSa63S5G\no5EBigIuQUqDF099vdCFXSwWLfXp4ODAuiIQbLmoCLjdbtdObBXseOx30JJeXm/dqyLpAw2S6JVY\nM0D4+xlxVVGOfD6/UYskDXIqh6mL1e2Hphuec+JmhQwGA48WwzYOXr9bhAu6zBvWTeUG2+jJamaI\nXpGDADf92fxnvrfPga7uLb/DYFugq4esK6FZq9UQCoXMS2TmCx0A8qZ/BONhp6DLW2O/38d8Psdg\nMLD3wbWyjgUieBOJRCzgo9KIVEJST1cBVz2bpwRcAPcW63K5NFEYthK5ubnBxcUF5vO5tXVxn2Qy\n6fEyVzHyw2wieXBwcM8bJDgMh0NPMrd7hVRPUUGXnm4ulzNwW0cNTdOoeC3mQiUVw8o6Bnj8otJ+\nnm48Hrdg6raum256EKuQCLoEYgKuXssVeB/ydIPKMdWANW9iTHvzKz7SQ80F3W0XHfAApZPFfU9P\nt16vW2YLc7PZIYTR/z+qp5vNZi0TiIeJBtDZLmsd25he0IVGFSxSC1RCoqfLRb/udTxIc8fPjU7A\nPT09RSqVslYji8Xinpfb7XZNM5jeySrcmQrpUJWLgEVPkOLvTL9yMxwIBCrbR56dni7pBT3c1gFd\n/TsEBOVwSVsw6OiXTqOFMvR0CbiafhS0PUQvNJtNjwygVlgB91XAHvJ0g6YX6AgA8AjXfM7TdemF\np/J0tYOE6+nmcjkUi0XE43ELSFGD9o8Gugyo0VmZz+dWds3S61wuh6OjI8s9XsfWRjz1bPlQ87NW\nq6FWq5mGALuE8trMxPJms4lKpWJfWr0p9YRXAWa3SoeAoIE7eqb6Z9Sj5MNadyaqu0UKvErH4/G1\n8iG5efmdGWRgbuZ8Psfe3h7a7Tby+bxRHRwTVajImzGKTsDlRqWHu6l9aU61hxqlCLWLsqtQpp73\nqrmOq5jODQ8h3ipYsMGrpeZoskNDv9+3IgV6RPxZqjIXhEfpF0x01dsI9urpaoUVD2wtsOFedQ/e\nTcZLwX3KZVIJrdFomAKaZilxrTAIyYNFHQY6ZroeNl0XvBVqINfFicFggEajYRos3F/cY/w+rFrd\nRPNiox5pKpmnEnR8arWaaQqw4IDVKs1mE9fX19YCXa9JdPP1WWXS9Vqo5ct6SLjXR2YpqOD69fU1\nrq+vbfx6vXdzjtdN9ud3V68ml8vh7u435fp0Ou2RJVSB82q1at+NoMFMBYJukFoLX5pTdrlgKXOl\nUvEkx3N8bocGrb/fBuhGIhFPNd3h4aHdsu7u7tDv9wHAkwJ0d3dneaYaDCa1wiuo2zlkG6Y3xIeC\nd5rRQKNEpFY4uuC2iU2nU3Q6HXvnV1dXJhTDILTebOgNc/2wutLNj+Va4LPpDYK3RHWoNNuDeddX\nV1eme0IA1ipRzcLaJA1vI9AlJ8Y2IlS158MWM6ym4cKgSPfNzY0FT/RhIj7Jd2C1TqvKwxFQtUqG\nnpc+DPyxnYue3Pwemgep6v48RdcFXaU6WGRCblG7QnAeLy8vEY/HcXd3h06ng36/b1ejRCJhAtZM\nEQvi2vuYOaVYy+XlpYmv8/0zT1MBl1F5bq5tcY/M6FChEr4vLSZQeoSHsAu6TJtjRSaLgYLqHOJn\nyu/68cg6ZgDmABB0+Z6oW0sqaFPjLaFSqeCXX37Bx48fDQv4zv0oCK6dXq9na1YzR8gBk3batGBq\nPv9Np1jF7NXzZhXq9fW1FRmx67ZW/pH227TgZGNPl/l419fXBrZUytIvx08FXb8ACnm1QqHgKa9c\n5VR2eTh6APTMCaD6jEYj89RJjzB7gZ1f9Yri5+mukw+pWQHL5dKaMyaTyXtK9nwymYxxzNfX1wDg\n4aN4WNH7ChJ0PzenFF6/uLjAhw8fUKvVPJyvn6ebSCTuHbpBmx7kBF29Pg4GA/tz+t2GwyGq1apR\nJA95ugqE2zA3SObHI3NvKTAoNUbQVU56UyPo3t7e4sOHD/jpp59MNF5BV7th8Hqu+52pjWxWy/VC\nnnXTHGPubzYHqNVqnpgIqUXVsmbzUr3ZAvh9PV0WC5DHo/6n0gudTscTMCM3y35JrBhyc3dTqZQV\nTZA/W5XXVZDQbhA87dyUKyaha18y6uvyauHHLSnQrgO4+gl8ugrTuGj15Q+HQ9zc3FiFlFuuSl1Y\n5Ro3NTfxXhXa+FQqFTuAec10Vdm0GzADRNs2pRcKhYLFE8hDk6cnx6iKeIxHKCetVXjpdNqzfrfF\nSTNwx3xXVzRGCz4Ar+4FqQVWrzHbKAgPUjudVCoVD2/Kn+3uQdfS6bTxv+qkAZ+ciU2Al/ubJf1X\nV1f3hIPodNXrdWtowK4c6hgGUba8Nui6VzZ6AuoJ8kqkeZgEBub1MoihX2ixWFgwaJ3WPq5XptoF\n9XrdujGoB84+9mxrzQobreFfLBYmfEFZN0osrqKnuYqx5FQ53ZubG6M8FouFpW0xJ5cdENLptF17\nNzEN0hCMer2eBczoPfBqpoFT3lr4PH/+HCcnJ8jlcp7DZZvG21Mmk0GxWLS1yapJjpU50Qz0Ar9t\nekpoArAOE5lMxlNRtU3tAM1IIdi7D710Phpg4/We31uLgjaxaPRT54jDw0MDKm1bzwwFArSfA6AF\nVZ1Ox95TqVQCgEBAVz3d6+trT9ol54cZCqFQyKNXon3W3r17h7Ozs426nqy9G/XKls/nPUnSvHoT\nmHXgGpnkNcjNVFgul1Z+tyro+uVWqkpXvV7H7e2tXWP456jcpaDL70gvMhwOW9vzw8NDHB4eolgs\nGje5bqXX54ygq9y5G9xz24iUSiVLQGdK2qamoMsOu+TlGXDk+Ai6wKcUvPPzc+s9dnJygnw+v5FC\n2ypGTzeTyRjvSTBSnpEBNIIw1yzr7A8ODnxBd9vVlAq6PBRc0AXguRHxEFHQZfcDOhCbmnaOODw8\ntIATKRsVHmIqqR94knbodDqGKSxSUo2UdU053Vqt5vF01dvlo6CrPRFzuRxevHhhoLvuwbWRp8uN\nzoXMF85Tjn9G+4wRBDWVxc3dXS6XSKVSFjhijfljzb0KuzTIzc2NJ3tBN6ArsqxcYywWM2lHervF\nYtF4tm16uu12G5VKBVdXVwZw5M2YuaDR+W14uqotzKvazc0NPn78iF9//dWT0zgej80DZ3n1mzdv\nLE/zKT1dlUoEfgML9WjJ2dMj4yFMGkRbyZfLZQNdHmjbLu5R0KXugwu6y+XSPEwAxj+r4zGdThGL\nxTYKAqlxXgm6FOTXLBB63BRr98tt1UAyA8gArJ0TS8rXNfV06/W6eboKuAwukgZl6yF2hlaVMSqN\nPbmnq/QC8NtCVsAdjUY2gfqMx2N0Oh37s71e7x6nC8ATeV2HXnA5XfV0b25ufPN5XU/BTYA/ODgw\nT5f0QrFY3GoJ83K5NNC9vb3Fx48fPZkh9HQ1B7VUKhnosp3Qpqaertvp4OPHj/jxxx/v5W0zEk3Q\nffv2LUqlkqes9SlMeXIGwbj2Wq0WEomEVR8RdMnhkl44PT3F+fm5eTzZbNbA5SnGz8KbcDiM+Xxu\nnaj5kFIAPuXQ+3m6mlO+KfASnCi6Pp/PPYDL/ael7KPR6N7PcTOJuDbYTokpkeuaSy9cXV3dq+oM\nh8OWMcX9xO4mz58/x4sXL/Ds2TNP1s2Tg67WsvMaoSpjLpfLqxoDZ1ru6r58N5l6nQWiXiwBWPlm\n94PRYGkAACAASURBVOe5VUfu9+S1TL+jqxC1DdOx09PUoIOO0X0XQVcj+WUw6CGr3UB4fdUgn9st\n+qnq7jX6z6u1FmZoqpp+RwZzGczRYpNt87ju+N0yZjdA7XLLOi53L/C/BTGuz5Uea1Xd5zJ7FPzo\nCesa33SsvKmp7KUf6O7v79s757p1qztJl26yfv8YahM729nOdvY/xEKfO0VCodDv1673AVsul76u\nxW6s69vXMk5gN9Zt2dcy1q9lnMBnxhrENWNnO9vZznb2ONvRCzvb2c529oS2A92d7WxnO3tC24Hu\nzna2s509oe1Ad2c729nOntB2oLuzne1sZ09ony2O+KrSMHZjXdu+lnECu7Fuy76WsX4t4wQeHusX\nK9JWSSlzq1663S7ev3+P77//Hu/fv8ff//53pNNpvH792p5Xr15ZNYtWe/jZl6p/3KoX/vPt7S3e\nv39vY3j//r1VmFCej+1b+HtYbaOVP7FYDMfHx56H9fybjFU/r66u8OOPP+LHH3/ETz/9hI8fP1pH\nC3a1YCkrn2w2a2Iy/MzlciYaREFzvzE+ZpwUeVeJwJubG/zXf/0X/vGPf+CHH37Af/3Xf5lWhmpY\nuPKV7u8Lh8PWw43P6ekp3r59i7dv3+LNmzd49+7do3QtWMpN1TNtG0Wt1JubG9ze3uL4+BhnZ2c2\nX9ls9l67Jrf0PBwO4+TkBMfHx/aZy+U8lWEsgX3MWCk5SP3ZwWCAy8tLzzp9//49Dg8PcXx8bDoA\nuVzu3s9jXzQ++/v7phPBT3ZpUXvsWP2s2WyajCvn+OrqCpeXl/bJFlQUjsnn8zbvFEGiRgj1WVjl\nqePaZJx++4x6IR8+fMCvv/6Ky8tLUyDk5/n5Of71X/8Vf/3rX/HXv/4Vf/nLX+6Jcz1Ulfa5sQZa\nOK5192yoyC66FC/e39+/1+Av6JJK1eSkZqq2vOl2uyYAQo1PavayVFQFo4HVOlesYq7SEUXTm80m\n6vU66vW6Kdezuacr88eGltQEHo1GHmEelagEHreA1VxpRxco+M9sI09JPAAeEREVVOcYCLqqaUCQ\n0V5mqxjfvSresVSZilbtdtsaa47HY6RSKU+XAGroqrGslaXBXBvsq6YCOKvMLefXLYflfxuPx+h2\nuyYGxfZCatp/juDFcXKtcP6199gmxoYEFJG5vLy0vnIUAAdg72A4HCIajaJer9u8t1ot5PN561hN\nvWUVwNlUO0TFr3SfNRoNO5Sr1apH2tEtW3d7+W0yd4GCLpWb6Cmw8wJBl8piBF2d1KBEY+iZKfi7\nDebYhmM0GnkWqvvoOLchbOIKZlPcnS2DKJWoBwi1UKkqRsHyUChkAkG1Wg3dbtfUmegR62JZdZ5V\nsc3tN8WHpz9vKwQCfVR9io+rmJXP51Eul9cCXdVO4CGhoMuxEsAofLO/v2+CPfz0A10FXMp9plIp\nLJfLtdaIK0PqAi5Bl/q+0+nU99bC8VAfIplM3hNC4qGwarPXh4watJQbvbi4MEF7F3SpOsj1R+Gr\n29tbO2SpkKY63AA2dsh4A1J1Q3Vs2MtPxdd1LlVPQg+tJxcx9zPKI7KxI1XYu92uNcdzhVqCOj3U\n3A3n5+kqbUBhC17FU6mUCfFsszW4gi4BgT2cWq2WXXPcZoLq6WazWZPBdD1QAm6xWPRclVf1HPQg\nU/DSpn3D4dCuhhQIUXqDD70t/T6UUNRPqmit4+lyXlUkSD1dSmISzBqNhsk9Kti511V3/tlUk3O6\nv7+/ljCTC7ruQ31fquX5yZxyTNSBTSaT2N/fN2H70WhkQKzfZRPT1lsEXaWXCGCUb2W/MzYM4P47\nPT01wKWHyQMvCIU8v7WroMsWXeoEci61c7VSR5scAlsBXbZDUdAlvaDKQdugF/QqzEmmp6u8KPBJ\nvYl9r3K5nDWaBOAB3CBEn/3GStAdDoem7aqC5Y1Gw+MpqvKRgi7b57Dl0Hg89jS2VNBd53D7HL3A\nT6pvUe5Pr42kD7TbAg8+5ae1MSFVq4KgF6jLzE03Ho89m4wyiG5cQo2AS0+Sfegoc0pJ0FXMj15w\nH5Unfcg5YWcDtkDiAUapT0qkAp/UwbgH17XZbGaH1vX1NT5+/Og5LBQ4OWa3Y8Pd3R263S6Wy6Xp\n52azWXN4SAFtYlTp4x7hPms2mx56gfPHA8ulF3gAbIpTa4OuntD8536/b22r+UVarRZGoxGWy6V9\nAbYWoRcaNHeqco7qRei/8wqjWrnKK2ovLz7adyzIho8KEC4HSR6cCvrkPNkqiPq01CVmcEY9e4qL\nu/O8yuLhwtXWL6qfy5sBBdV5pdUAGa+4Ls/r9lFzgTnIw1i7AxB4uME1gOp6NMqP+kkYbkNT2S/Y\n6gZ5+fA6TOBgDzptTuoXRFt3LPS8CWTdbtd6IqrMqHre7K7CtUl6Ip1Oo9VqWTyj0+lgsVgY6G7a\nR497otPpoNlsotlsmiY1b+Hsgag4kM/n7fYyGAzs1um+d333j1kDa4MuXXZt08Mvo6Q6A0D7+/vW\nRiYWi2E+n6Pb7eL29hapVArJZNKEwzflmx7KPlANXF5h+TCLQa+56jlw8RCMg2qD8yWj51gsFnF0\ndITj42MTKaegeiwWQ7/fR7fbRbvdtmuk9n6r1+vmSQJYudWI65HpIcbNyJsBOXLOHQ8N/ncVhncz\nV1yt2nVATPWPtYGjelzkxfkoiLqbip/RaNQi7mdnZzg6OkKxWDQaZJ32LaqF/BCAu2P1e9yDK5lM\n4uTkBCcnJygWi0aFuPOwivH9u90otEOum0WhAMabDgPE9XrdtGwJjFyrdIyocbvJXqNHzv5o7L5S\nr9dNVJ2i6aVSybJEisUi4vE4xuMxKpWK8emKB+7h+xjs2hh0NZWIKSSXl5f48OED6vW6EeL0fthb\naj6f28mYz+c9bWc2MY2K62JWAfJ4PI5cLmeLkguTIEGw5YZVEXYC11OBbjgcNl72/PwcL1++RLFY\n9BwY4XDYADedTntAl4r5iUTC09J+nVRAl3vUlkfApwAI6Q89tFyQcIFWReKDAF0di24MBTL2wNI5\n0wNBRc5JM3FD8snn87YJ16FCdL36Aa/fWPnov7vzzHYzfFKp1L1GmquYBih5W6AYuIIugZL0C0GM\n7W4SiQQuLi6sbRApEzaubLfbSCQSns40m9ILCrofP37ETz/9hFarhVarZW2atO3Q2dkZnj17hkQi\ngVAohPF4jNvbW9RqNU+/tPl87lk3j333G4GuZisMBgPzdK+urvDrr7+i0WigUCjYS8/n83biEnS1\nNc7BwUEg3Kmfp+t2sCDovn79Gt988w1OT089Xpd6BQ/9nKfofOCC7ps3b1AoFDyBqsViYSkwfqDL\n9Cjg0wbelHt0gZdj1S4LLhBoOpP2zVNv0u+6torpu3dB1PV02VSxUCggm83eOxjcbiixWAzFYtFz\ny2BwkM86432Mp6tj1THwk80zP+cBExjWDVq73Vf4EIRJCWiX8HK5jPPzc5yfn+PZs2c2XwTcer1+\nD3S5D1OplG+Xl1VtPp+j1+uhWq3i4uICP/zwgyfnHMA90H316hUAWFIA41Kk9khRMdNhFZ58I06X\nwSpyOo1GA9VqFVdXV/jw4QNarRYAWMDh8PDQWvbQS2Ymwf7+PrLZ7Eq90B4y19N16QWC7unpKd68\neYO//OUvePHihcerYaRSf6bfP2/bwuGw0Qvn5+d4+/atcaPcZKR2crkcMpmMpYctpb9aKBSyzbvO\nQlZPV9sp6c8hB+eCrlIM9ML0CdoI/jwAFHQVyFhYol2dtQcWx8w1wyuoPryZrbsmdK26aUk0d6ws\nzCHddHx8bJ6sXwAyKK7ZDVC6nD49Xe0STtBlMVQmk8FisTDAZXbKfD63DsJMw8vn82sFJ11zPd0f\nfvjBQJIYQfxR0GWBT7VatcIapsKFQiHPPDPI+hhbG3T1ZCI/02g0MBqNEA6HLcGZFTFcIMvlEt1u\n1xK+h8OhJxWHoKxFCi4AfsncnmLj8dhOZHrSbsL/eDz2XEWDTGF7yJi9wCINNuNklgf7NanX5nph\nmuju10NLvbBNvpfSSVpxpimADIw0m027PrqZCdrSmo9b0RUUbeNXDcd/1kybeDxuDRH10QAqe2jp\nzw5ijfjRC66n6441HA5b80n+dx64SjnozSGo9ezmWLsBJM0hZ1CaFZGxWOze+uSaVEqK9J17UD7G\n9DbGQ6Lf71u1JPN0ORYerNls1m7hOr+aVdRoNDyUI2m6bDYLAI8O+m0EuqQUWP7XaDSs9TYXgVs2\nqxuWuaiaVB+Pxy3TgR7SKhPvpozpZCtAMBBAsGNVGqmOdXvar2J+KWNuah3gHxjSppMuj03gcnls\nN9dwlXHqAcV3yPQ6HmTT6RS9Xs+ojcFgcO+6yxbxzLyYzWaedx1E/uhjjC3BWSQxGo3Mm+Unr/P0\n4A4ODizd8aG0slXsIT7X5XTdsRIMeLusVCqe9vCsDFTHJQhP1+9w13ESdLUgI5PJWMBJs0L052jj\nUjdLaF3QVfpDnRkWZzFNlL8zl8tZdgUAwwbuy06ng1ardS+FjOuAmRqPWRMbg26r1cLt7S1+/fVX\n+1IEXdUqYK06PWMG3i4vL21xcGPSUyYArhpc8wMI19P1A12mDrHd9bbNBd1ut4t+v2+ddbUzqctR\nKg8K3OcGXTpl08j1Q6CrlVus7iKX3Gq17nWGLpVKaLfbGAwGRnOk02nPRniKA49AplVpGjQlf8tb\nFwF33e7UD9ljPF13rIPBAJ1OB41Gw24QR0dH1gadrdF1HQdxkOk4H0qX07LjfD5vHiQB1O/n0JlI\nJBKewOC6Le614IgFMMzNVtDVAKULukqdKuj6BWX5nTOZzPZBdzgcekBXNzq/jOvpAr+54fR0r66u\nDBjIpdFtXwdw/XQC/ADCD3RJcfi1hd+WPeTpTqdTTxtzXZxKK6iX4cdja/BQOcNVzK1I0zklv0sP\nrNfrWcaEW20YDodxdHRkeZEALKjCw44pbds2coWTycRDbSilxVsbg1gulx3UGvELpOk7csfqBoVj\nsRja7bYdEMlk0jKCNMCzqbkHhFIM/P8PebqkRfjn/DxdgrULuqt6ui5lp6Crpb6KU9ls1oM9/Pus\nZmWOr94wgU8pnZlM5tGxkkeBrl6nuOB4grRaLdRqNdzc3JgACwGUugDkaDjxKuLRaDSQy+VQLBaN\ne3E52HWDPm7li3ops9nMSpabzabxepxIAlzQnJjfONWD1NOY4+EiVY7W72e5115d1G461jpjdf+Z\nYyLXTOPYJ5OJp3iGByLHonQSvY4gAql68BCctHiAGR86Xh7CgDcDgvncvIEkEglPVWUQY3W9Pg3c\n6ZWV65YHtfL5oVDISn5LpZLdOBjc3DQryAVcOkUuxUWakEBEPlcrutyfqe9Kc7k/p+L1kPlRdgRd\n1/Hi3JDDj0ajtm61sIjFRaxsTSaTVvrud4v+kj0adFUMZDqdWolvp9OxL8XIpf5ZRg1DoZBJAt7e\n3qLdbmM8HgP4REBnMhlLxeEJuU4ajoImI+j60uml8+Saz+fo9/v2u9vttqUDuelNf0TzW2gMZjA3\n16965rHmegXFYtFuA3ogqIfNayHTchjAIIgMBgNUq1UAsKT6VCq1MejqtZEBDqY5AbBccPVWeRi4\n8pWqJVKv1+1gCfKAIFARWJPJpJXunp6eot1u25/j41bX3d3dGZVAIRkKuHC8QaxdvmtymH5e+WNy\npN2cb1fzYpPbBPcCA4yscOv3+1aopWNQr5ipa3QImSDQ6/UstYwaLcViEScnJzg9PUWxWEQ6nUY8\nHn/Uvno06JJXYq19o9Ew0KWHure3Z5uLX4Y6B5PJxBYDQZcyagq6zDtUqmFVgFDQVaUgLhjmCEYi\nEQPcVquFw8NDO0T6/b5V0bAA4Y8MugQNcsP8d/JXuknWySVVIFPqw89D4wPASj75EIwHg4EFsAi4\npVLJNsW6xgNCg6KcIwIuPV19ptOpiQ21223zKAm6qntBYAzCe1TP0U3Sp1oXAM+ByXnjw8wbgi4B\nAwj+gOD+0pQrN5jrUmEKuu5B56c54ZcDvoqRBqMsAedRQddNf6M+Cd93LBYzDZRer2fa0PF4HOl0\nGoVCwSjTrYMua6wJuhTYpobCwcGBB3R5SugX8fN0SaIXCgUUCgV7YZt4uvRoXE+XJYeagZFMJu27\n8CpBpaQ/MuAC/p5uKPRbJQ032yZVXgpkzLN0N5hbhcZqnmazadU/rVbL+Ele1VqtFtLpNIrFor2T\nTUwPCIIs372mMrmlzMPhELe3t4hEIpbXqZuQa4el4DzQNjXlOckPZrNZlEolk0NVeisSiZhIDB9m\njKinSw9T39mmpp6uH+jy+/gVpuiB4eZ8P+TprjNm7gWCrkpNqpiV3hY0tVSt1+uZp0vqyfV0T05O\njEYNHHSZpkLArdfraDabHk93f3/fPF1VeNLTjacwPV3An15QvmoV49/hSbtcLi1HkD+LE93v921c\n8XjcA7quCIafWv8fyVzQjUQiHk/XL8XnsaZAxvQpPx6OQRBqV4TDYRM+4oLkAc1b02w2swU8GAwC\noRcUcBaLhRU6kPMsl8uejc7bDqkmgiw93U6nY15RLpfD4eHhPeW2dY3vg96ugq5Wa+ozn89NgY7U\nBP8+PV3gk55AUAeEgqtyum6AzC+90fV0XSlLP2W1deM5fp6u0gtuzIeeLgs9iF/cSxTn8fN0T09P\njXoMFHTdtCVe2xlkKBQKKJfLttk0gZt8Gj/pReqpo5QAN/EmpmMFYNHco6Mjj8CyvuRwOGyaEPQU\nGQnO5XL2Utxk8CDyH1c1DawA8Cwe5SXpkdLr1wKJVSkbBkj4M/nfyeOrLJ4KGDHthr8/FArd0+3w\nCx6ua3rNVVOahTKMfPcq9s6IuQb//IKUQZjOI03pC4KuernhcNjmSgHWLQgi1Rdk0A/wrj3+swbz\nXN5Wg356Y9Ycb74XvS0pJbiK6TtmSy62YlI9Zeo78DbjqufpXiJOadCYPzuVSnm460BBV7khZiCQ\n26Nn6WoXAP6lg5pmFLTpactrUCqVQrlcNjFl1nTrgcAFwIVSr9cRi8WQz+etcm4ymXhKB9fxGoMy\nBQRVeuNioWfDKza5bb8o8mNMo+B+KUJahsp869ls5sm13DRIsq5xI1Kmj8DFJxKJWHqY8v76HVVf\ndZ1KqccaaZB0Om23CveQJ+WhOaXMANnb2/N4ikHmFLsZTK7uBteVgi0po8lkglgsZtz5cDi0FCum\narJiMZfLmXTAOjEdFrZMp1Nbt5q1Q8wijpE3V+dQPW6OUQu4FOfcQOGX7NGgy+g1/5keCyeMgOxe\nH9Tb1SBbkIvBNV0ALLQ4OjpCNBq1f3Zbs4xGI9Pa5BONRlEqlTyckEbmfy/AdXkxeroKuno6EzC4\nSFYFDL2JALBrLj2TdDptB5JmLzDAw9+na2Kb7981bjwC7t7ent0GuBndFCWXt6Y3r+lM2wTdTCbj\nqXJSD7Pf79+rniIFyNvaJlf0h0zXnHKuehPme9Zru84zA+paHMPbEvUlKIzFWMwq80w6MJvNWmCS\nHjPpjcViYbcrpmryRqCPzptqebigq9TdY2wlT1fBl+S4bjy68OrKPySSEcRV8iHjl+dCSKVSlnPJ\n5Hz3GtHtdvHzzz+bwAUFi5vNpqXEcZGswzUHae7B5nq6PNgAeK7/GtRY1TRizRSlg4MD29x+ATBy\nYA95uk9lBFrl+l2qRYGUni43Ej1d5puvc3A91iKRiOWMMs6hB9VisTDaiwcJ95PSJu7fCWK+/bhY\n3Q96YBF0eXPg72egjzETBV2tDlPZz3U8XfV4KaqjlAezVLSzjOvJa9YPnQwXdMnjroIJK3m6qqLD\nhaERYUaom82mcSVulFBPlG3RC+4EMOKopvmjk8nEuu5Wq1ULVIRCIU+PNwb+NM3nqe1zgKvAq/QC\nF7SWb67j6Sot4ffd/VJ/1Hv0A12XG98UyPzGxc2jJaWaSsaCDfVWSKMp6Lqe7jYOXsYWNK6hBxsD\nQfv7+/Z9+L79ADfINep3i32IXuDNliDH8TMwSScGgC/orrtWw+Gw0Vs03sIVhwBYN2KOyTXOL8ei\nOtBaLr6qrV0GTC9XcwA5MAYCtKKDUUDmQvKEZgL3Nk2Bn5Ov7XBGoxEajca9a4+bQM28Yr6ETRe0\nkv6fq+BxPQwGp/g0Gg1PGp6CpCp3KT+4jTnVbrvUXvjw4QMuLy9RrVYtY4W3jlQqhWg0iuPjY7tS\nrsM3PzQ+zQd16SQ3f7her9+bQy0IoVBPLpezgNs2QFfTqDi3Oqcs6vnll19wc3ODTqeD6XRqB0Mm\nkzFlv8PDQ/P0gphXzdMFcO/KzqwBFiVQzEqdAXYy0Y4NKv3JdR/kWtXSaC1y4M2PcQm9+XJOGTBj\nQI5zypTEtcaz7hdR0AU+cVEkw1n3zDw5PlrbPBwO1/31KxkXhE6q20a8Xq/fu/YosPDkJrcZhBfh\nRv+1ZFojt378LRtYUjjeLThRT0E5p6CCf35zynfMqxsbFt7c3KBWq6HT6VhaFCv9SPnk8/mNFrKa\nG+yhSAzT1NwmpWyk6le0o/njpVLJgjwq4BKksVBDMzv85vXq6gqVSsVAl1H1bDaLcrmMs7OzrYCu\nHjTqhfKw0FSter2OUChkIMZbJfl04BPoukGpINcqM1MKhQIA+DYpiMfj5hiGQiGPcBBlCkqlUiBz\nujHoAp88XDflgsEp0g6JRALhcNjSRvxc+m2YnsLkmpm6xk96urz2qFaAerqMDgd1dVNPl94fPV0F\nXa3gIcBVKhXc3NxYaXWn07H0HAVctxotSNDVOa3X66jVaqhWq9bWmjndPNSY58iCiFKphJOTExQK\nhcBBV6vNBoOBgRZzN/WhzCjnkJ4ueVVqGjyFp0uHhOvTndNarWYHbrvdthxSV4ibFZWkAjc1NzXM\n9XRd0GW2iN4qOVY+boqY0jxBe7rAb4CbyWQ8lXKamcBSYEppEnTL5TJOT09RLpdtTn830KVIhBuZ\nZoRQgYQC5dwAQSyEx5gmTHMhu9QHCz0eohf0ahoU6Lr0wnQ6vSfgzPFrOhu7QVQqFVxcXODi4gKN\nRuOep6uAG3TGhd+cNhoN3Nzc4PLyEpeXl6hUKuZJsnoqn89bcLNcLuPZs2fm6QZFL7jcIwVMKM5E\nqoMdaMnbk2pQ0OVhSHqBt5GnAF1Wf7IFFue1Vqt5SoBd0KWnq10wgvJ0+amBM90ndGi4v0mP8GY5\nm83utXLSUn2Cof6+TY3gGYvFkMlkzItVj5oPq1TdPP0gbw8bge6XFh0Ti1WBXXM5mUjPtI5tpeGQ\n0+NCbrfbHjCgWhqLJkjG86DQvMwggz4u6N7d3dmm1pxQegvtdhvVahW9Xs8qvZhpQb1VCoVr1+J1\nMxZobjGG0kP0ElutFq6vr63b6tXVFWq1ml0pOa9uKxcKhrD1TRDgoBkzqp+g3arp7WptPoO7zLhg\nDzL2+aOH495ENp1X/XdVv+Mt4ebmxub2+voazWbT1iHz43Ws1C/RYM+mY/Vb81oswHlhxRwbTjIG\nwWexWFj2BwGNlA098qAPM6UQaDwE1AnrdrseOUne4PXQ1RziJwfdxxg3p4ouU4xlf38fhUIB0WjU\nvkxQ3JNrWr3TaDRQq9Xuebq9Xg/j8Rjh8G+NINliiO3OVRt0naRtP1PQZTCS2p5cjIxMM3iyXC7t\nKl+v1y2x2+039uLFC5ycnCCfz29c4QfgXn6merbsH6Vtm/r9PubzuW2uZDKJUCiEcrlsgvblchml\nUslaugTBk5KGIQdPL5cc4+3tLS4vLz2BSCbwu10uTk5O8OLFCw/nrLmZQYCDW+3G9MVarWaHF+e1\n3+9b9Ryr/vh5enqKV69e4eTkxFKu1q1AfKxRqKhYLOL09BTj8djmheXU9IIBmGNFqoZNHtmNm9Vd\nT2F+6W9+GRkMUFK2ljfRTQ6HrYKuXpU6nY6JRywWC8TjceTzeaTT6cAJf9cYWdeACUlzPipuw5OM\noKCgq4LgQXgPBF3gN89BWzzn83nLdW42m1gul2i328Y58bRmcEqf09NTzwbc1DSIR0+GoPvhwwd8\n+PDBbg3UV2ArHn20iwgj7LxuBnVl15Qllfir1+t2VVe5SfLg8Xjc4ykeHR3h5OQER0dHns4CBLOg\nskCUPnJB9+eff/bM62w2QzQaRSaTQblctjlkD8KjoyNks1k7wLZZOaniL6enpx7hGNIMmq5Hjpz6\nFVyjpVLJ01n5KcyloPzS7NwcbaWWNnG6ntzTZSNKXkno6RJ0t8Hz0tPt9XqWXuUG0hgBZjliLBa7\nB7rpdNrDkQYFusCnXEVt3Mi0u8ViYfyjWxKqAR8GpuhFkPTf1Htwue3ZbGbqbNfX1/jll1/w/fff\nG4iR+ya3zGBENps1ZaajoyObX16R1y1Rdseqnq5yjPR0r66ubJPxkylL+Xze2oWzSzDpBXKjQQKZ\nm/eq0owEXRWRYmk1u7K8fPkSr169Moomm82ac6Bc5VN4uirEwxY35FMpgsOcfnq4z58/tyv7U4Iu\n8HCxx0Ogqzfdr8rTvbu7swnmF3kKT1fpBYKu6gMvFgvzEFKpFLLZLI6OjnB4eOjxdIHgWloDMBCn\nIhqTw+npkn/udDr2SQ+Dc5jP5w10nz17hufPnyOfz5vqV5CeLgOK9HQJDO/fvwcAz0Yn78V0HQYj\n6OmSvnEPkU2N42RrIXL2Si/wQHALIAqFAp49e4Y//elPKJVKdoVPpVJWBg8EG5DUQLTqTl9eXuKn\nn34C4J1XbYX15s0b/PnPf0Y+n/d0CCF4bbNUXUFX1QRJLVHOVQNZCrqnp6d4/vy5ge1DXVG2YX5p\nmOrpasn4wcGBebqaT/yH9HSBz5cO8vRz00S2YW4Fl/vJiWZklldIt7ggSPPbwG7WASvfuCEpKchy\nVvJlTBNjYEMDgEEFJtyrsOYvkw/XvGCdT5ZR6ubi+9+GPaRPwTGzPFUzRFRjgnPo5nNuy5TXQ9zl\nMQAAIABJREFU1RxoUh9cE1qgoN1ReMBpVH7bpvnguo+5nvXaDnw6OLin9IazTe75c+bqWrim6XFu\n/vC6Y/39BAR2trOd7ex/oIU+l2saCoWeXlzgC7ZcLn2Pl91Y17evZZzAbqzbsq9lrF/LOIHPjPX3\nEG3Z2c52trP/qbajF3a2s53t7AltB7o729nOdvaEtgPdne1sZzt7QtuB7s52trOdPaHtQHdnO9vZ\nzp7QPlsc8VWlYezGurZ9LeMEdmPdln0tY/1axgk8PNYvVqStklLm/tlut4v37997nr29PRwfH9tz\ndHTkERmhmLWffakC5KGxNptN/Prrr56nUql4nl6vd0/fs1gs2hgpKEKRET5u77VVxrpcLu+1Zvn+\n++/x3Xff4bvvvsP//b//F1dXV3j37h3evXuHt2/f4t27d1Znn8lkTITD/d2u0LRfBc1jqmpWef/a\nupploD/99BN+/vln+6R2AJ+DgwO8fPkSL168sE8q/Lu27lhZEqzP+/fv8Z//+Z/2XF1decZFlbFX\nr17h1atXePnyJV6+fOlR96IyWpBjdfvMzWYz/Pu//zv+9re/4bvvvsPf/vY3fPz48V5zxBcvXuDb\nb7/F//pf/wvffvst3r17Z1VfWlUZ5FhdhbTZbIZms4lGo2Edta+urvDx40d7arXavR5jz549w+vX\nr/HmzRu8fv0a5+fnnn5k+/v7j6pWW2Wtqu7KYDBArVbD999/73kAWEl+NptFoVDwrNOXL1+iWCze\n64L9pX0VaBmwll2qYvxwODTNSpaDaufV5XJprVEocRiksVyRwjDU8eTvTSaT6Pf7HulCqj1Rz3Yy\nmZgIM+vfHwKHx5pfWa020KMWcbfbRaVSQSwWM40Iau5Sak7LE9mGmpKKFIzW/7+NMlFq1/K9U+9A\nNyElFLmZKJ4zHo+tHHsb46KWMnVTKWROWUfgUyk1y1OXyyUGgwGq1SqA3zRYKSZEpbwgdC3UtNyb\nD0XWR6ORSX3qM5/PrSURNU4ymYypt/H9B13GzN9LkaPhcIharWYdRPjue70elsslUqnUvferbXxU\n+U37EG5jTVA/hJ1tqtUqOp2Oqbhls1mTJp3NZuj1eqZ3TQDu9/umBa7SBl+yQEHX1Vjg4lGhYA5M\nWzMT+HK53NZAV3UJEokEFouF/d58Pm99szhOdjIGYJqs3W7XBFyKxaJv2/FVzW3F4z6z2cxAYrFY\nYDgcmrycegOuZkMulzPFsVKp5GnhA2BroEthISq68eHinv8/9t68q5Er2/ZdApJOfQMIyN52+V67\n7rnf/zvcO06d4yq77HJlRw/qJRrRiPeH32/ljK2AVBPC9ntaY8QgnSZhK2LH3HN1c93euicBgJyf\nn1u/33fRkaQNaU8AqVarDYGu9tejaWBmzoIYPfXy5UtXJSsUComvlQNfp5s0m03rdrs+SkrBlucO\n6KKmtr6+bvl83qcaz0KnFsF1GCNTLhDYPzk5caJiZq7ep8MfVfdYLw6/WewHs99At9frubC9gu6z\nZ88sl8v5BBl0MC4uLqxQKFipVLJOp2Pn5+d+kIAx/PkxS5zpqmK/DoAE1AaDgQMum4cNcnV1NRPQ\n1ZcJ0GUUh0oVsmEYt84oFKQBG42GK2YhZTetPSTKEoIugNtoNCIiIfpVhWSq1aq9ePHC7u7unOGr\nZN0om2Ncg+kCFMp2AF0OY6avMs5llkyX34F61+Hh4VhMl8GlgAASkEk8/7i1MgKJUUKA7uXlpb9b\ngC37hH3KwYIwvk7rSNp0KgdeDTP7uJjEwRoWFhas1+uZmUVEfUKmu7y8HBHLSdq4X81m0997NKAB\nXR2JhN52qVRy5b9er2fZbNYBd1Tsmgno4haH4QWmRphZRJs1n89bpVJxBa2kLWS6uN38v1QqZRcX\nF5ZKpXwcO6Db6/VcXYiXbXt721X8p7WHFOwBXsILFxcXVq/X3UvQWC2hEwTWl5eX7dWrV3Z7e2vL\ny8uuzcvnnZVaFswHsXidJAHwwuRgOQAbo51m8ZLpXLnT01Pb39+3Wq32RaYLC+fl434WCgXb3t5O\n5PmHpky31Wr5EEr2QBheAICV6TLZAq3lTCYzk/eKsA2HGVrF+/v7/hXJUdaxtrZmqVTKQe8hpruy\nspLoANjQVBP6+PjYjo+PI553Pp+PjI/HCy6XyxHQvby8dGxBQfFLNjHoxsmh6RRT4jtsGFxImA4s\neHV11WdojbrocU11MTOZjI9/Dn+XzkeCfQJuvIwh6E1j4SGlgwYBXWK9rIWYsibHmEulyRfYo/48\nwg9JAFsYv4eJw3oYAKkDP6+urszMIhs0SR1d1hXKJOqE2nq9bicnJz6AkvFMDHVEBDyfz1u/37dm\ns+l7Ew8I4Jv2PurzB0SZ28a0X2KiDJ+EMTKTjFBNNpv1+9rr9axWq/mYGcCawyWpOX8kgnViBOyf\n+WLo0ObzeReCZ3+Gsp5JSyg+Zhr+BFA118BXpqSQ14GM6aUHxCg2FdPVjX1/f28XFxfuhjebTZ+d\n1Ww2fexMqE+pSvyz0tNUFwvwCk9WTVIgYEwySgXXmSiQyWSmnnKhOrl4AzCrm5sbv1+4uxpW0Iy0\n6pPy/5muu7y8bKlUym5vb909TuJgQ/NVPRaevY4MbzabDnCDwcDXGY5AmVaNXy30Fs7Pz30gKevj\nGTOtGgarF8SBMT3Ly8uWzWZdkDuJKRc6wh42zpj1er3u746Z2dramlf3MMYeoXrIAgdzs9m0XC7n\nYv0cviGoTWv8HLytfD5vZr/N7CuXy7a2thaZhLK0tBQZUqujfKhm0YGws9IFDnMp9/f3Pi2Y9ZKD\nIB+A94BnqlNSxiGMUzFdZTkwHcAWwD06OrJGo+HTGTSDrmNvZilgvLi4aKurq/77V1ZWPNmjmVfY\nAP9maWnJCoWClctlK5fLtrGx4aCbzWYTEeAm9s1G7PV6/oLc3d056BKLZpZYCMRhIk1B1ywqKJ1E\nRljnkF1dXVm/33dQYxbZycmJNRoNB904NX5GoEyrxo+FIuC4sYAuE3a1uoN1FIvFyPTfXq/nAMue\nBXSTAARCCYy2CRkuFR94CLjmZubTiZkwcnt7GxlB1el0fNyTgi7i8kmNmwpF6vP5vK2vr1ulUrGb\nmxvPJ1BBwWSJVqvloEs4R/c4w19VFD1JU8KoU6B19lw6nfaYtVZ/wPDZY3iYT8Z0NR4J6J6cnNje\n3p7t7+872wF0uYkh052VG2H2ef4YgEs8F5cN157whzLdQqFg1WrVdnZ2bHd313Z2dhJluiHoavmU\nMl1CI5QCaT0x87C0HIy5UwBGkoBrZh72YCQO8USYJBlhDhKYbtzcKZhuUsxGZ6QRWgiZbqVScZbI\ncEcOVwYltlotZ5CwZu5/EmPNcVm73a6XWTUaDQffVqtlrVbLzH4DOB3gqbPwKpWK9Xo9Oz4+ttvb\nW0++tdvtyJ7q9/uRAyQJC5muzkPT6Sdc19fX1mq1vAJHmS57moMuiZl5j5kmsJXpQq5WV1fd8wB0\nKXONY7qjepEzAd3j42P7+PGjffr0yTqdjtcYhmM7wvEiswJewJY5ZGa/BdLJosYxXWZ8FYtFq1ar\n9urVK3vz5o0zoSSYroIuLjDB+evrawfdpaUlW1tbs2w262Aa1umGBpg9xHSnNUppyLQrkwR0T05O\nIhlpZbrEG2GOSYUXtIJGwzYKupRUpVIpy2QyXukBgDEavNFo+IEFaGl4ISnQZXYfY+x5Z7jCett8\nPh9pMKpWq1ar1Rxwr6+vI6DL5GhIBlUa01awxDHdbDYbadzh/nFRpqXPHK9NQVex4fdgui9evLDl\n5WU7OzuzfD7v45AILxDL1nxUokw3jN3e3987UOko8I8fP3o5TqPRiCTQyFTrg4oLms/C9OfyZ81S\n87B1JpbGSHVD6OyxpNar9yPu8NGkhyb11B3T+O7i4qKzYjY/yYFJNjJusF7UZbZaLWu329Zut+34\n+Njq9bpdXl560kcHWoafVePRSTZsPFQRwouhl5bp8dKwRphbPp+3crls19fXlslkvMqlVqu5C82+\ngUmOY2EHobrc6uFwUYNdKpU8PEN8nHDYxcWFJ9cGg4HX03KQA5LTGB5kJpPx+6ANOSsrK55kI/TB\nQWJmlslkbGdnx6rVqpXLZd+nsx4db/Z5fHypVLLt7W0vBU2n0161EBev1X3L8x53/47MdMNNDKvF\nBWo2m14mogkUGEKYrY5LpM0yxBCaDnLkdNWBjuHwPJhy0kP0FEiV9T/288MhlLBdbZsEjHkhcYkn\nSQDx0oZTiXFjef4U819dXfnodXXF9PCYZUw/rH2OC62ElSO8YAq+i4uLtra2ZrlcziqVig0GAwdd\nOtUuLy8jydZx49LhIaSHPOvO5XIeZ+YriSmAignBxWLRKpWKXV9f+3Tr+/t7B10F3Gk9HjwwvEOA\nVt8Vfi+x9Gaz6aEmDoXNzU2rVCqWy+UiHs+sQTebzXqpai6Xs3K57B6Q1umzJ0LSEya3R13v2KDL\nxqTGTfUL6EI5OTnxl5DM9u3tbeS0eCi88FQGcMEmcN3iQFeBl5MtqVhT+NJpjHvUtfPC68tPrFf7\n3LXiYZx7zUtLu+Tp6Wkk0UPiRxkkoAuocb+e4tCN6/LT8jaz4ZHyoZtIsgnQDUv1SE51u10rlUr+\n/aEOxpdMX2Teh+Xl5UiNKmBK7BlGxvNeW1vz0EexWPT8SS6Xc9ClRAvATaKxgwS12W/j2G9uboZi\nuFSP1Go129vbs3q97sSA9RHOCd34WWLCysqKg+5gMPDuMkCXqpKwU1JxK5wWPepaRw4vqCtG3zLx\n2729Pfv48aNnXrWLRl/Eh5iuutZPZcQWtUxFx25rWZY2HiQ5Lv6xe/EYAIUsPZ1Oe5kLDEjXqUA+\nyX2G6bZaLX/eJycnkeYH6kI5vNbW1mxpaSkynp3Po897FofuQ3oW4zJdBV2z39gR4TRK+2CMaIeM\nyx7jwi3ahmxmznQ3NjZse3vbyuWy71MVDgJ0r6+vfb2UCV5eXno4YG1tLZGaeJKMJHrVm9CDD9Dd\n39+3s7Mz29jYsM3NTU9iInQF01UAmzXTRQ7g8vLSn4GCLvsiBF1luuOOvR+L6Wr3CDG9RqNhp6en\ndnR0ZL1ez0MKtCCa2VARfLi5fo+59xrTXV9fjySnVldXIyUrmvDi3/ByahwQG+czhDE8ZaawbO6L\nHn56mJl9BghevLjC80ktrsqCMAMhBXQ1uG/pdNqWlpZ8z+B2h3tg1JDKOGvVZBpMVhMdYXPJY4cb\ncV2SgABYv9/32k3ivpO0MYehFq2l5qIul3htpVKJsElYF9UgJGE1F0Ot7/r6eiRhPI3xzNhrg8HA\nQYqv7BeSmI1Gw3K5nC0uLlo2m3WVQeq10RGZtdG8QVnmysqKr5vqoU6nY1dXV15frg0pkDQ8ynGS\nwCMzXe2aohaQDpT7+3vffJRdaGeUJtzCBIHe7KSK40cxNiqCFXd3d5GMcbfbteXlZZerW1pacpUp\nMtysVZnbOOtXlsBLQHUEsbvLy0tPlCHc0ul0vIyJkq3b21uvuMjn80PAMo1RPlcsFr1mNJvNegKN\nGK9mn2E+rLPX6/maZn3oxpXhaclauP+od8VV54AIM9xJ1zor4HIv6CrjefJ9j3lEZsNxfjq/OHBg\nv4RRkmq31sOB56xiPUdHR9ZqtTzRpglBLg2HPdX7jxekXWnIPJL0a7VaroxYLBZtcXHRdnd3rVqt\nWqVSsWKx6NUs2s36JRuZ6WrnlNb+aTMBSRrYy93dXSTcQFcU7FKL42FIT8l0iXctLPwmAKPSf+hE\n0N1zdXVl9Xrddnd3vbOHF3RS9S5Ad3V11Q+uYrEYuS4uLiLxMRgLZUxscgVc5Om0dnea+6o1y4PB\nwJaXl61UKnm7N3W6+uyXlpacMZyfn9vq6uoQyw3j5Em8cCFBUNBVxS1tztCklIJu2Pyj3k1SoEVJ\noLqrEJa4xOMooEuMF4Uv9gpVKEm13IcNUjSiEG5Cc6PdbrtuRRzooks8yw600NRzJ9kHToFZxHMX\nFhb8fdzd3bWtrS0rl8uWz+d97eMkqCdiurzoWgoG/dYuH1yjpaUlPwUfY7pPedNxLzgsUqmUgy3s\n7fz83Gsfz87OzMwccNfX172XXBOE4xigq+tpt9sR0O31es6u1GUmibOysuIC7Pl83jY2NpxVTLKm\nh9ZJNxEvjuqocmnY4+7uzhsjms1mRIhaQyqa/U2iDO+h1mpcbo1rapkVTFcP/7gqiCRrnc2iiRlA\nl8SjPrsQeEMvBvBWpksLKx4R94U4dxKmngC177VazQ4PD+3w8DCCExCMEHTBiKf0dLXWVisstDAg\nlUp5spLDYWdnx0GXg1rzP4kx3XAja7uqMl1q3QiMs0kA3Hq9Hqkv5cMk3Xs/irGpSYQsLS0NhRfu\n7u4iJVHn5+cet6RTjV5zPus4BeeALqGO+/t7DytQHoSkH3oM6PwqgGUyGQdcDgpeKsBjGuOQWVlZ\ncY3WMGZIhQMiIKi1EfOnIzCO6SaZnDSzIaYbdsSFTJdWWkrr1OMKk8izDi+srKxYv98fSiaFFS7h\nfeL/AboAbir1ubkD8E0qvBBWiaDGVa/X7fDw0N69excRWqKONwRd9YKeytPVBhpVxjs+PrZPnz7Z\n3t6era+v2+7urleP7OzseItwpVLxg3rctY8EuspO2LAqFwdoIPALaJiZd5/A6JQ9hJUNSbWojmIh\nuBPfLRQKzoxwMcm+h9KFJycn3ojANU7BuT4oXJP19XUrFAq2sbFhvV7Pe9W1r16lEXEbia9ymVkk\nuz1NckJLmh4zwgyc+Ofn55GGDEzBOnz+SVhcnDRk0uF+JjGiiUs+O1/D2L1ekwIG7w4xWPIghALo\nUkThjNBAmAgMq4v08CMERDXJJOEFmKFeYcNMt9u1vb09b5BqNpu2tLTksXKSvIybAhembadXi8MX\n1Ungq5Y70qWITgjxbypSkJ6tVqtWKpV8cguEYVwbGXR1nA7JCEqVCEDr7Ci6VCjKZ2NoXSRJORV4\neSrQDU3jlno6s24e2MLCgl1dXVmj0bC9vT27ubmJZJTX19enYuu471tbWzYYDGxtbS1SIaBMvNPp\n+Aumrbi1Ws0Gg4GHeACgP4JpqRZMQ0u1kmCPqu2Qz+ddchIGq406YUJP3fqHaorVnZyGofP7NYt+\nc3PjMVBcdUrGtEWcNfGVParymui+EtdeXl6eOJFGy7LG8TVpRqu1xnMvLy89ZFMoFLzOGJZIyClJ\nIxSq6nfcE31vNAHM30NolpeX/XDQ6SuVSsWV3fDcJrGRQZfSGf7MhtaTTutZV1ZW7OLiwt01ym3i\nBM618+OPALqA59LSkm9mXPzFxUVPqsGCKQqfpE4zNFx4esELhYJvDq6zszNbXPxNPKTdbkdeNgRd\nzMxjmHHaDL+XwUTC3nVc9yRAV8vneOmYuLGwsBDpMMIlf6izKCzpihNxmbTcTQ8I/nx1dRXJgdD7\nj6gN5WpoJ7BeKhQ4fAFdFb0hRDgp02UUk060ULbYbrcjMpUKuoj/b29ve2u6qqYlaXxO2D7i9XpB\nFDlE+v2+r+XZs2deFx1eKgcwqfc4FtNV8NWedS1x0Ww5bZSaDdaXTUF3liLmoxigq+C7sLDggMYJ\nqUwXt49OJDqTpjHk8QDfuHbrpaUlnyhhZs50qYes1WoODsT3/ij2ENNNMkGlgjqDwWBIolGZrha6\nh0XuynRDtquVGprYGsf0gGDNvV4vArq1Ws3K5fKQGBLrZ62EI5TpwuIITYXVC+PY/f29g65Kd+rV\nbDZj659hutvb2/bixYtIPfqsmC734vz83Or1emQq8cePH4dCI2bmiX2+hoBbqVTcM5om/zQW0/1S\nvFIBmJdI42RsdmKRIdOdFeiO8jMpkNZOIOKpNIHU63VPRpCwon2wXC7b1dVVIqBLiMHMvE6Yi7AN\neqS4fWEROoXb2Ww2sUz1JBbej5DpciUZXghd9m63+yDoaiVFGPcNOygfAt5J47qQGQ39dDodr8km\n+QyAqiC5rl/Ln2C6jUbDQ1L8u1QqFbnX4xiATaLs6OjI9vf3I1e9XvcGI0pC8djy+bxtbm7a7u6u\nf3YsfObTsl9YP+HLZrNph4eH9v79e/vll1/s559/jhDGu7s7e/bsmVWrVQ8tqI42V6lUGlrbJGuf\n2Qh2wDfseX8spjdL0NXD4LFL148u8NHRkdXrdWeWs2TjWhZG4g6XiIkM+/v7dnJy4qEFZWwkZXCB\nnroMJ9Qz0APYbLj9NozpTmt6LwirqO4w4Eqm/ezszPb29hwctL326urK2aLWbvPCUgkRxoKnMfIl\nmUzGisWibWxseEXD6emp/frrr14qqOvtdDo+PADmyfN49uxZZBQRCaxxDwhCMewx9pm2z+shoPPT\nDg4O3PPQtRPXnTYhqabJyfv7e2evKmoVVqfc3997eKbdbkdK+MjtcC9VhVAP3VHj+4mCrn4IBbLH\net7JxCfFdOJME3j6O/VSoONAoF/85OTEQVfjeLNoV4RJ4wV0Oh07Ojqyw8ND/3pycmJnZ2cOumYW\nARoFmacE3VH0DJ7i0KU1FTYYKshRxgjoMhUaEOErsWAuhj6G17TuphohoXQ67RKOgO7Z2Znd3Nx4\nCZ5exH9JZOHt8P+RMVQR9knvq6rYxYEuAHZ3d+egS2XP7e1tpFyM2m/1HqYxPRworaQXQMmIWRSr\nNBFJ9Q/Ayme6u7sbagVmT+GtjLIHZsJ0H1N3inMvk47phQbohvOoaE2mvjSM8zAFA0X/brcb6Rya\nVRKAxgeywYeHh7a3t+f1g4gJdTodTwCELESZ7lPVPsYx3fDZxiXSkg4v8OISagB0Q6YLUC0sLLj+\nrMb1kG/kajQa3r1G9n1SjeKHTJkupYNm5qBbq9W8wUMvBIm4Op2Ot5NTx00X1TRMV0E3ToNAMYBE\n7+npqYP81dWVx0jpbjSzsUDrSwbT5ZCIY7rqjWuF0sXFhZmZ6z8r4N7c3ERE2uP0V0Z53xIH3cd6\n1fme3yO8oFMOKHXRiyymgjIJCS5U/Ml8J1lfiMF0qQU+Ozuzo6Mj+/Tpk71//97ev39v5+fnEWZO\nJjV8If4MTHcWh656Ivf39xE2FjJdkqXdbjcCqPl83rrdrndWHR0d2dnZmW1vb9v9/b27xWF4YVrg\nBVBhuhsbG54MIz57fX09BLrEW9nPqGZlMhkPL4T1seOuNQxhhUz32bNnkVItyt8gKIAaMWmUvtif\nANw0xuEA4A4Gg1imyx7ksAR0zczDeuxZbaQolUre3aeJTHIDo1jiqPFYTPf3qkzg1MVd1/pFrdFT\nwAWgkfC7u7vzTUdzCGyEspgkQJhOIlgu8TlYTr1ej+iWsnGJ13GqP8VE1TgbpakgLLNKshMpruFE\n237pLoJZAQCwbkqNyHzXajUXPkHLgFItDjhVpJvWCC8gqk0CDI+AvRuGOPCQ+AzEnDW0EILuuPdV\nY6X9ft/HqvPuUFamFwcc2hxmn5PFxHSvr6+9bRmMCKsgRt0f6ulgoUrb1taWJxe1ZEz3I4lDhG+I\n6bJGQBbQ5l0cxWbOdEPADTuB1PWbFStjQwJkZ2dnkYYDfaH0omoDdf7b29vIiG4ysi9evLByuWzp\ndHrq9SMQQ0vi4eGhT1MmkM/LjsZFsVi0t2/f2vPnz21zc3NIMeupQJdnqyCn7ieHgI62pw18lgfE\ns2fPLJPJWKVSsd3dXS+fihNrQVSo3W4741lcXLRCoWDr6+u2vb1tW1tbPshS73USoRwtP+SgpyYX\ngSPahLlXsC7uMw0xOzs7tr29bdVq1XVrNaY7SaWFKuLp783n87a9ve1eIx4ljJN4L6WO1JJfXV1F\nJhujZxBWiExjy8vLXrJ2fX1tS0tLkQ5PJVZ6weppcadcU4cagFmw/FGI5UyrF+LCC3pi6qiZcdXX\nxzFeJO2vVlcMHYmwHZkyMorXFxYWItNiw44VmkemMUC31WrZycmJHR4euu4DG2F9fd2ZC6Phd3d3\nbXd31xX4AbKnlMuLO1DjBOJVbAbXL8lpwKHRiloul213d9dub28js/10ECiHs5aHLS0tuTC8gi4t\noaq/nMRa0+l0RKpTy7VUAwR3fDAY+DsFi1xbW4sALuslLDBJTFcrQrQOnAm6KvVJQw+ho1Cfwcxc\nk7hSqdjm5qYTHa2dTqVSY+mZxBnhle3tbVtaWrJsNhsbXsRT4CthxMFg4GxYNTIgi+hdjFqaOROm\n+1giTV9Mdc+0NCNp0+RUvV634+PjoZNO2YPGhLQsZ3V11ba2tmxra8uq1aptbW25UArXtKCBK0YS\n7+joyIFhMBh4YmBjY8N2dnaczSDEEY49CXUPZml6z+7u7vwF1yy6xgNhuuPqkY5rCrqwR7qpzD5r\nzCIKw95FBwOvplgs+vOH6ebz+Uj5UFJMV5t0iDnX63WvN1bv8e7uzvcnB1kul/Ohj7peVXabBHRZ\nI1UyzI8jHKddaiR8tfuLwwPAXV5e9rFeSnIgOkm0sMN0Adytra0hTzcuz0P3HyCMPCX7WL04Dson\nZ7pmj5eMaSwkLrwwS6ar4QVAV2M6yCGGFzExNjKMkgvB8KRqDGG6gO7h4WHEDVZX+fnz5/b27Vt7\n8eKFAwNfFQCeqnpBwwv39/exTDeUVVSVuVmHF/AU0um0HR0dWSqV8lpcbfXmkCuVSraysmLlctmK\nxaI9f/480qFESCnJuDTVFkhpDgaDyH4AdENXOJVKubwn3g8H8tbWloedJl0noAvg6jvN/uz3+1ar\n1ezs7Mwv8hBm5p2nsEguKgZWVlb80DD7nLibNhcE083lcv47Q+1sbZ3WDtBWq+V7otfrRWLR7O10\nOu16zaPYTECXr/pnNd2ks0qohKbJPa3F1a8Ih+h6OW1DoWk9kZM0Lakitqym69F1hGpaT8Vuw7WF\nz/WhS5Npk2oXjLMufYY6rYL7pPdd771qNFCPqf826QqWuESQ/r7HWo7j9mq45mnWpV912ckTAAAg\nAElEQVTjjLZ/jeHrnjQbblSiZVcrmJJWHWR/qem7TxWNhmfChpeQSMaFT0dd69Oltec2t7nNbW6W\negydU6nU71Pj9Yjd39/HHrXztU5uf5Z1ms3XOiv7s6z1z7JOs0fW+nvVzs5tbnOb2/8fbR5emNvc\n5ja3J7Q56M5tbnOb2xPaHHTnNre5ze0JbQ66c5vb3Ob2hDYH3bnNbW5ze0J7tFr6T1WGMV/rxPZn\nWafZfK2zsj/LWv8s6zR7eK1fbFEZp6Qs7PJoNpv297//3f7xj3/4V8Qu+NmLi4v2l7/8xb755hu/\ndnZ2InoG9KJ/qWPpobXSV6/Xzz//bD/99JP99NNP9s9//tP29va8w4TOmK2tLXvz5o29ffvW3rx5\nY2/evHFhaGYmra+vD/2+UTrrRr2v2pnD9f79e/vpp5/sxx9/tH/84x/24cOHobW/fv3avv/+e/vu\nu+/s+++/tzdv3kS6qGgTTmqdZjak0tbr9ezg4MAODg5sf3/fDg4OXCULKcW7uzv79ttv7S9/+Yt9\n++239u2337pwd2ijrPX+/vMIbu5HvV63jx8/2sePH30woeokt1ot6/f73oLKtbu7G3n2r169ioxq\neUzOcdL7WqvV7N27d5FL14rgTagTUq1Wfa2vX7+2169f+4geLvQMwnVOutZffvnF/va3v9l//ud/\n2n/+53/aL7/8EpHHRM9E2+ozmYzt7u7a8+fP/SttylzFYnHoHo66zru7Ox8Rz/Xp0yf74YcfHId+\n+OGHodFQaCNrR1qpVHLtCi70Tfiay+Ui79Qo71WiPYzI4yFuUa/XrV6v28XFhQs/IwpBDzQzlXRU\nBrONuBHT1hKjKqX91sfHxz6C5+LiwseLaLsfEn+np6c+jl0lFlHy0pucdCsrkn460eLo6MhOTk4i\nWq9xUoVMZACAVJlqWuWmOEMHWHvZ0QNmdhf3GmC+v7+3TqcTUfqaxlT7Q1s8+fyqCcvfLS8vW7/f\nj7SvIrrdbrft5OTEFhYWYoE56XZrRMx1RpqKQ2WzWR+KGs7963Q6dnJyYma/PYvNzU3b2tqyu7u7\nyCwvndo9jTHJmBHxnU5niNzo8xwMBv5OMTLn+vraRcFRVUOUX5XeRjU+l7ZCr62tuZ5upVKxarUa\niyn6d2hJMKLr7u7z+HrVU6Ydn/dplFbrREEXBSFUhhC7AHQZk6EbhQ+oIuNra2t+QjJRdBpTAK3V\naj5CutFoOOj2+/3IYaAyfyjQI9SBgAqap6o1kLTxezkwut2uHR0d2enpqdXrdQdds+imCSc3IBU4\nq5FIZr8JmijQnp6e+h7gqyp5MSpF9YyTGE6poMuLohoK7CtU0dbW1uzm5mZIEwLt18XFRZckROwG\ngZmkDeFxJkdcXFxEABfVrlCa8u7uzrrdrqVSKbu4uBiSA4UgJKVRa/ZZnAelsXD8FSpdOouQd4pD\njQNEZSLT6fTQ3LFxCALP8dmzZz7XLJvNWrFYfBB0ec/i1goW9Ho9u7+/9z2Ty+Vc/AfAHYXMJM50\nu92u1Wo1Oz4+ttPTU3/4MF2zaBgCgNNJnJx26+vrQ4IvkxguB0PyGO5Yr9et3W47+wrdeOTn9Kaz\ngUulkrvHgO0sBHsU/AEvQLfRaFi73faXTS9lk3rIMcJmFnZ5eWmNRsMODg7s48ePdnBwYK1Wy9rt\ntis2wWbV0+l2u4kxXTPzEIOOA9IRSzBZ9GG5T6Gnc3NzY51Ox7/WajW7uroys98mDOMGJ2nKdAuF\ngg/MzGQy7i73ej2/r6lUyg9V7mO9XreVlRW7vb2NEARG95h9BqZpLGS6ECc9DJBJhOUyvVrV9AaD\ngctSIgzPPphkjXw2FdRXpotnqHZ7extZqzJ13j9EzPl5hBfZV7+LyhhMt1ar2cHBgR0fH3t8hxsL\n22AeEeEGDS8AuAx/SyK8wOA+HWFOeIETGeP3oWHLv0XPtFgs2vb2trM24jizADPCC7z0zOyCRTK+\nJZxSzKkdqjfNkumirn9wcGC//vqrffjwIaJb3Ov1Is8TNw2mO4vwgoKu2eehhXgv3A9m0+kF4+l0\nOv5vzcxWV1etWCwmQghC0xE7TGjIZrORdXW7XZ/RRuhMxdghEGjzlstl17I1+6xGNm2ISUGXQZMq\nl3pxceFhOTCANfZ6vchcOUCsWq26Z6xTnUc1SAdMF48EpsvBFP7M6+tr/12slVyQ2ef8E4dDqVSy\nbrdruVzOQwyjznhMXMQchsGm5UPDcnU4pJn5QtUdDKfIjruGUOsTlgpwnpycWLPZ9PgsknQP/Twd\n3d5ut12Ll8+oMdJp2QOshev8/NzOzs5c0JzDTOPRxJk0zKHjTsI43qwkFIl74bG0220Hf0CA7wPw\n4uT8pjGNrfO5ib+hqathJP77+vraFhYWXHsZyUFNUKZSKWdKfI9Ogg3XMImRx1hbW3PmFCannj17\nFplwEUqBsh/iptXG3atJjSkm+Xzep1KHwwF4//DGNKyI6aEbAtck+0FZfOr/HScE6BIiDOUZCYug\n6cw9Vb1gwkyKS5PkcxIFXZ2HxPDGMCPY6/WsVqs5Hb+8vExyCWZmQ5n88/NzH0jJhF1emuXlZR9L\nHfdzQhedg0HHufMAeMGn2cyEWWCG7XbbDg4OnOEeHh5arVbzsA1sSye14lKF47FDjdCkTVkG6yHu\nB6ASK1P3je9L6kDgd+uBreGEdDrtLJiLZ2n22TMiwaOJSI1T8gKGoZ1pjHeIMT0IrXOPGB/PAcZa\nGVbK7Lxnz565q57NZn0uWpJ7QJkuI4PW19et2+26Nm2/37der+cj0ePsIR3gSScsq6azmbnnUC6X\nPXHK/tPnzB6EBAK0ADHzEhlKywxAne83yloTB90wjsLiWGir1fIAN2w3SeNk0peq1+s56BIXZb0A\nVdyG6Pf77iaF2XAmxqorlERyAneWxBMj2I+Pj+34+NiOjo48jntxceEMTEew63wyndigzHeWguEw\njVBEWxkaSUEARQW6pzV1LfUAgAjwsmn80cw83nlzc+OeTJj04yWlMiRMpCYFugBunHB6v9/3vcbw\nzNvb26FpBhsbGxHQDffAtKYHKq63jmd69uyZh+aYDBNnWnGAMP80h4N6dKnUbyOAcrmc/zmTyfj+\nYy8ysFJFy/lcOndOMY2x7rreke7b2J/oEVMQwz2irrVUKlmxWLRareY1nIBf0hYyUgVdmC4bE+ZD\nCYvaxcVFxOVUpXtA9/LyMsLwpzWSkWdnZ85wqQbgwhUjDKNZeZ1BFjLdp5jQoOENko56kY0n1kc2\nOKlJ0Bri0QkbTLHVpBMvHWPCQyDjsH2I6fKzOCySmnKAt8QhCsPl3uIGm31mumbmIFAoFKxUKlml\nUolMK2bQY1KVNjBdwnOZTCbiVZEk1cqJOFOmq17xpHtCSyMBWjNzploqlbzCivf7/Pw84qUSAuG9\nIpmpTJd3TJn578Z02eRm5nPmq9WqVatVy2QyDrhxQDethfFhsr0KurVazYrFom+QfD7vc5nUOp2O\nb2qyxMp0eTFh96MG0h8zHVG9t7dnHz58iMycOj099ZACv0vZHGxD55PBdGdt6taxWak3Zcw2CRSq\nQ66vr32kS1IHQhyohM+l2WxGgADGbfYZyPAkAN6FhQWPq2rIKXRnpzFltxgMl88FQJh9PiD4HhK9\n1WrVKpWKFYvFSHghSeMw4F1nzqACUKvVcjb4JdANR5tP45VpqIeKEE3gMrgVQtVutyPhBa2e0MS+\nTrAmvKCH4kj3bexP84hpYJ1s8Pr6um9WOmra7bbPmifZxlA6xpoTZ+V0HsfC7HVcFp9Tj/HlpVJp\n6Oc0Gg2fmwbIcmPv7u4iP3sSwOWA0Cs8HKhQYEz8Q79HE4dxialZsVs1svpUdmQyGY/T3d7e+pA/\nSplyuZw9e/bMisWis6RpE5EPfc7w78MyRcrvGMVNjBSwgu28evXKtra2LJ/PR4r4k7q/cT8nLPaP\nc7/V28GLY+1JHmhxa+Wrenx4kBz6ugaAmftKF1omk4nc00njuaP8PzyTuLwN7w6kAUza3Ny0nZ0d\nq1QqlsvlIofDOPH8mYEuCQBOZFxi6ku1E8zMPO5Cix2jzScFXWWlGn/jBFtZWbF8Pm+bm5v24sUL\nq1arQz8nk8lE6vQ6nY5/Ho0b42ZOUmlxe3sbSei0220fY01HH9USZKUf+llxWdmnnAwC6O7s7NjC\nwoIX93NRp4srz4TWcrnsheZPNVATNkszDzXbHG56MMDSS6WSvXr1ynZ3d91TmgYgRrVR3G9qRbV7\njWTWrKZsP7ROPK7r6+sI8OMNEFclNrq1tRUBXQ2lzGrdCrgaqlOMCCdvP3/+3La3tyOgO8nznwno\nwlxJOFBG1O/37ezszFlFHOhyovBQxgVd2J2GGOLYKL9vc3PTXr58aS9evBj6Waurq5EaWd08YR3o\npOVtxIjJntNIoEyXGDKlVw/9LC2Deoq63NDW1tasVCrZwsKCF+ST/Gu1Wlar1ezu7s7BgBBIqVSy\nbDb7pKCLW97pdPxe41FQDUBmfnt723Z3d213d9f1AUqlksczNWkzC9MYOZ2dYXY/DO1pvHHaippR\nLS63EMd06Twj11OtVq1cLkf2wKzLG3U6eOgNgyHqDT9//tzevn3rmiu61nGff+KgqxlCQgqAbrPZ\n9C61TqfjQKzhBZgucchJ4lBx4YXHmO7Lly/tzZs3Qz9ncXHRW4c5ANgQuKfhCTkOwCnoEnuOY7pa\nAjdKaCF0k57KKNhPp9NWqVSsXC7bYDBwhkvitFgsukeEeBCbeFblbKHFMV0N45Agy+Vytr29bV99\n9ZV9/fXXHtNTZj5unea4pkzXzCJMV13735vpsg6YLrFTDXGgrwDBQlAGIIM9zvqejsp0s9msM923\nb99GqrEmXetIoKuxwbD5IO7/mX1O7tAxQ09+rVazTqcTYbhkPnO5nBUKBSsUCpEe8XFvvMZKNWOt\nIKQF84VCwWv49NS6vLy0Uqnk/eCc2IAuIQxAbhKAI0yhbFcFbuhK0pcuZLSavCL2N20i4kv20B6A\ngelLl0qlvCpjaWnJXfNCoWDVatXv8VMy3biXLoz9Ly4uWjqd9jj1q1evnAwooM3alMkSEw0vreMN\nmdcsWXi4Tm2/NTNnurpG3vl0Om25XC5SXZFUFcs4a37oUozI5/NWLpe9Goiqkkme/8hMNwQwvR76\nf5eXl3Z2duZu8tnZmfV6Pbu7u7N0Ou3xkZcvX9rm5qYVCgV/8WZdTxoyHcIHemmMilK4sJYvaTce\nl6ZcLtvOzk6ks4xLe9pprcW7oDSPZCTZ1aSNw0IvlWzs9/vWarVsf3/fGo2G15Yi3IKCVrVa9Qz7\nU4Iu5WyFQsE2Njbc46Jh56mY4SimJVBm5kwSwlCpVJxhoiHAfk6n095Z9xTG4cBaYd1aq08dMjW8\n7Aetfw4BMGmj6oIwB4lyWqzD5pNut2vNZtPzPDRLTPS7R/kmdYPDFyu89P9dXFxYo9FwdxlxC024\nra6u2suXL21rayvCdpKqJXzIwphePp/3Okezz6ESddu0/tDsc+cbLDcJ0CV4Xy6X7erqylZXVx30\n+f0I95ydnbmugJZnbW1tRSpAZgW6dHKxYfUgoO36+PjYms2mXV9fezUAyamNjQ3b2tryl/GpQZc9\nWKlU3LXU9to/imlJGgwM7xAvDTUxapBh6bToJiEkNMo641pwYbXUuIagm8vlPJZOK7C+/7MAXZpl\nqNulVLPZbEZAF5wAdGmEQjFxEhsZdCmRon5RRTZC0WBVGCLr3263XbaR9kRKMRAH1jKcWZ5yZsNM\nF3EdM4t0BKnL/hRMV0H3/v7eGeDKyoq7Nej7on51dXUVYbqAbi6X82RP0qb7odfr+aYML55/HNMl\npqcu+1ODLkpeMNxOpzNRxcwsTQGXZpIwNIYmA52eNzc37hL/HkwX8I1juiqCc3d3Z/l8PpLA1FDd\nrA4/VQsjzNRoNPzwD2u22d8w3PX19dmCLr8c9trtdv1Fe+ji/yNojgAGXTKEF968eeNxXJjvLJhZ\n3OdR0KU5goehAjJx7Ylmn0vTkhJrMTNnrGRP+/2+NztwZbNZu729ddFqTUSGTHeW4QXVQEbBTbV0\nW61WRFYyBN3NzU2rVquRLqmnYpjKdM1+IxbIZz6mE/B7mRIQbWlWuULCegjMVCoVn9TxFEzX7LP2\nLQ0wcUwXknJ5eWnn5+feNKNMN/zMSRvx2mw2611pZ2dnDroh04UFA7jZbHb2TBeAoRsL95FxJ81m\nc8i9pBCebh5OFrLWlUrFNjY2PCMYZoMntbBIW3vBOYXVlazX695VQwfK2tqaF8nH1eCGLh9/N+la\n+Z30e1Nyc3t76+28fO31ehF3XL2Ch9TFpjHCS1oZ0e12vbpCdSKI3RO/V+0AQI6XT9Xnntq4x+l0\n2sx+6wQkqYN+gHYscTjTiUTn2FNY+PxgkCoeTu17t9v1pCx1xyp6rodb0jmTuPeAuDKsW9fCpS3Z\nqNOFycqkwVcbScx+60jM5XKWy+V8vBG/9+rqyvUjdB9P6j2MTIHCMiyNh/KSIRLCzaTAXLt6qtWq\nbW9v28bGRqRFEUo/LcPQInFcAH2ReIgKuqiehXWGKuEYJ+k2LbixVuJDvMh081C9oB08ej/DtsWH\nyuSmZeCog2n8lvI/rpOTE68x5uv19bWDK+6lJs2ewqN5yMKXjlE8EID19XWPkZ6fn1utVvMWW0jE\npCWN0xoEplAo2NXVlXtFAARTLgAyLp3IkMS7Norh3eCB4cabme8nVQGs1+uRNluqNZI2FRYyM2fi\nhULBQ1+UDfb7fWs0GnZzcxNRLHsS0KVEijADoHtycmKHh4de68ZLn0qlrFAo+Aah0BzQpVRIk1RJ\nnGiwGG4oDxFgJ6YEGyBcQOyWOBRKXppVJZSgSYNp+sN1kgEuT1iKpr+HZJSWr8U9n2lL2dTCllkE\neY6Ojvw6PDwcErA2M48ps1F55rMKe4xqgC5/vrm5GZLtQ3601+vZ2dmZf5+Gc34PU9ClWQIhHMBB\nwZYL74gyvqdomqBKpFgsRmRQEemB6VKfXq/XXcAdwI2TXZ3WCBvy55ubG2e55XLZ9bYRNUefgbwJ\nI5ImsbHCC3FMF1Hwg4ODSPyOziPiiqVSyQG3Wq06083lcg4mSUjOKZCZ/fZCZbPZR5kuMSYYLqwM\npktVhgJYnCs/KdMNGa8m59ikGjMOC87D56MqWEkk+BCnUSH4o6Mj29/fj1w6Iujm5saePXtmhUIh\nMsFAvZs/Aujy9e7ubojpElbp9XoektKOqqdKToUG6JJUI8Zfr9ednceBbi6X8+z7U4VGFHR5fwiH\nwMxhugq6CrizaPDRhB+Ha8h00ayGTFxfX1u5XLbt7e3Zg67Z5woG2BRZa9o7j46OIk0SZubxstXV\nVSuVSra7u+uASwVDJpOJ/V1q44CZhgjINIbhBc2eAig3NzfOcJFwIxFIVlVju9qMMG144THw4cXX\nmGoIumbD4Z8kmS7hhfPzc2u1WnZ2dmbHx8d2cHBgnz59sk+fPtmHDx+Gfk86nXYXjUoBkqgA3kNT\nDcL7NO36Q+OZAT6EoVQrlc40qgEuLi4i7epx93bclvVRvif8mXR1AWh3d3c+apyqlocS3ICMqm5N\nal/69+QnaKem+qJer3vzTJz0Kt2fiM2P2+U5yvcoaTL7rRpHG7TK5bLj3NXVlcfMd3Z2rN1ue/h0\nkuc/EugSaySArECgtZfhjCk+FHqV9Xrduzhw5VVxXb/qn0f9MLperReM64LhxB8MBs7iYAqEHi4v\nL+34+NjOzs68i474GcMpy+XyVIpofwbTJhHtICQhisZsmGxbXl62wWBgvV7PqyyYg0dJWblcHopZ\ncxCpJzHNfQ3V17TahJdGR/Cw37WUDJLBbCzNtGsiMw4kR1kfl2oB4LGEzTE0cej9RiFNy8Piuh0p\nPUyimiFsitI1cRE64IKgNRqNSLghaQvvadhPEILl5eWl7e3t2d7enh0cHNjR0VFEj4P7qp5+mJwc\n1eMdG3QHg0EkY65TPEmicKEmBVtoNBpDEnXagRZ3mY0/EVQrC8xsCCyy2ay/UDwQkn4w4Ha7bdfX\n1z7FVluXqaUtFos+ZXVtbS2xmPSkNkudBQVdvIF8Pu+iRRrLBywAh16vZ6enpz64lGoXmmao48St\n18RrEq22ShLUYwF8B4OBSzoCopTr6bSQ+/t729zcdNBlD4WkYdy16TogAFzdbneoUxIiE4IuoTDq\nzXV/AxCIuScRGqFWG5KlDVLsA5432EBoSmOmSVt4T6k+0VBLaJeXl3Z4eGgHBwcOuq1Wy8tdua/h\nuK6Li4uI/vEo4dGRQXd5edndBdzb1dVVnwS6s7MTqdNcXFx0sWUywGxMBVxiezAc/crvngR09UVQ\nsIDp6vRU6hjv7+89uXZycuJxX24w7gQhC5gu5S1PFSd7atP7yDPLZrNDwwTDUiBACRapnYmIzBBm\n0uv29taTJ9R7Tst0AQiAIWS+gK4mcGi51pheq9WKHaQ46TpVHQ7QpTyNexSOYCJuq8A7CtO9uLhw\nlz2JsNPd3edBpJSmKQPkXdKyUuK2zWZzZkw37p7CsilrDD/71dVVZCTW8fGxg63umXBcl36GUZOT\nYzFdrQog/lGpVDzYvLe3Z+l02oVuzCwSXqC/nQwqxf56iuOW8nsnSaypq2c2zHQJLxAv0tO61Wq5\ne8vP4CESe9XkQLlcnrqK4c9gIdPltOcgSqVSEYa2uLjoGsBaTZFOp63ZbLpGRL1ed2W5ULoyqYRP\nWGNOEkQvqlRguoS9CC8Aas1mc4jpmk1eyK/7i4OBGmgAQLu5ULcKXXlU+/SZaGIVEORZJBVe0Eom\n6oK1OSr0asLa4VmBrt7Tfr/v01gODg5sf39/6N9cXV3Z6empT95meC33l5LOuMG0ZtFqiC/ZyKAb\n/kDYXSaTcXfCLDpBd2FhIXIi06oI0PIzOcEB4bAbbBwGod/Hn0NFsY2NDc/601UFCPM57u/vvd6X\ncAhutV4kC2dtGjJRBTZcG00IqBJ+EtULmpxcXV0dKmcDjPVl068kokhccu+531qfzD3VJGASJW8w\nMhoI+AwqzsRYe7yaEJj1BQxjwtOaxh+pDCL+SUiMg2FlZWVIXAqxey1p09E5s9D81QogWDn3Fzee\n0AKX3nuzzyqDesUlise9l6rCxzsO2z0+Ph7qIu33+34w4Mno/tb2X8o1zWyivTBxzY7qEgCK6OEy\n6oQKAL2oJRwMBl46QpkGXzW7mMRJSMlSqVTyuVc6HZVDRV2SwWAQUbiHIb948cI2NjYsm80+aUdS\nnMqUHgJ4BzCluLbKaUwbTsw+n+w0cuTz+aEJu71eL+JatlotM/tc8mZmQ8wr6W46M4sMQqWRR4Wr\nYcA6HVZfPMqy1tbWIiVv2uE4KaBpJyH/DfBy/3Bvua/Ly8uRtd/c3Dig3d3debUQs+n4sw6pTKJc\n7+bmxtk/YUW9f3roakiGxpK1tTVLpVLemcpFC/ukk2OU6RKHJbREWCAMz1CdQrt6JpPxKhFCoevr\n6/b69evIyJ4nnQasTJQ/IxqTSqW8ooGOJQq2Ly8vI7V66+vrtrW15TcCIMedTQowCAfQTaRMG6m2\nMAurUom0LQO6CHc8hYVVHGG4BOUmM/NEjM76mvbgiqt9VmaKq6UxU0rMcNmYwAyzJXSjVQ9mFmHy\ncW2lkxiJ3Hq9boeHh7a3txdJ/HDxOQg1wbRVnzgc9Mg6p2mQ0WdL8pFDgNgnYHF+fm7Pnj0bWj//\nn/p4AFeBN5/PRwRdpr2vIeju7+9HQJaDX+8rpZkA2crKigMtF+ObJqkIUsANp0No8itMkrIHCSPS\nTIVoPYnjly9f2vb2tgvvc/gCuomVjD1kuuFgtsRstX8ZwDUz/9DYwsJv000JR+Bi8FInEfBXpksi\nMBy7g7urV6huv729bVtbW78L0zWL1pY+xnTZ+EmCLvF8DTNoNYCGHDi8Li4uhtp+cYF1LpyuUePj\nSTFdBd2DgwN79+5dpGVdOw41jMDhpkynUChEXjat5JnUVEGM9VK/ytTii4sLfzdI8On6iTny/ilh\n0GnMgEkS3WgkyAHdg4ODSFKt1+tFasZvbn6bYo2XCaDFMV3FgUmTkzxHQBdvAULCwcUBq0l81drl\n0CqXyy5jwMHA8xinsWsqphu6vdTsIpdXKpVc3/Pk5MQZbnjyKeCyqVdWVhIL+NP/rb+DGl0C4wTc\nla1RmbG7u2svXrywFy9eeDtzNpt9UqarGy8s3aKDx8x8k+u05aS8BQBX41dhPEu/XlxcRADKzDwR\npZnhsOkk6cGEGl44ODiwf//735F2ZdxeBfuFhYXINGN0VzlEYGHTlrOFbJ7wgjJdBX9afkMpVcoY\nCR+gWazAWygU/ABJgjAo0z0+Prb9/X1n49xfjcvjNRBzjgNcQFcrmaYJL2htrYZotNKChJ7ePzzj\nra2tyMVcN5gu4bZx1jgV6IZ/DvuZQ2Uvs2GNAGU8SvGTTFRo/JlaXC3Ej1Pm4s+qpRsG+J+iUiHu\nd4RKUfri64ZL8v49tJbHbDAYRBTeuHfqhoXPOamQQtxadN+pW64j1zVJqTobGvbSGO4064z7t/yd\nusb8fg27hN6CmTnAaYiGdes+T0roRoFNY6fqLYakSZ+zrk2vsLV+mqoQJQFhzka9Mq3bDtemfQUh\nbkxyL/9YoqFzm9vc5vb/cUs9xoRSqdTTjZId0e7v72OPvflaJ7c/yzrN5mudlf1Z1vpnWafZI2ud\nZevo3OY2t7nNLWrz8MLc5ja3uT2hzUF3bnOb29ye0OagO7e5zW1uT2hz0J3b3OY2tye0OejObW5z\nm9sT2qPNEX+qMoz5Wie2P8s6zeZrnZX9Wdb6Z1mn2cNr/WJH2kMlZXF/f3Z2FhnLfXR0ZO/fv49c\nlUrFvvvuO/uf//N/2nfffWfffvutZbNZy+Vy3ou9uroa+zu/1JnypbXqV+Z6cXXVKvIAACAASURB\nVJ2dnQ11Gm1ubtrr16/t1atX9urVK3vx4sWjvz+JtcZ9nwpu393d2b/+9S/7r//6L/vb3/5mf/vb\n32xvb8+HfobXzs6O94pPuk6dvMB1eHhoP/74o/3000/2008/2Y8//hgREUHPArlOLlXTMvutdXxr\na8t72qvVqlUqFW9bRXluFDER7UKKawVVyctffvnF/vnPf9rPP/9s//znP+3k5GRorbu7u/bVV1/Z\n27dv7e3bt/b69etI+/tj3VLjrFX/+/Dw0H744Qf74Ycf7O9//7v98MMPQ11dz549i6jyMdOLFlpm\nECKTqDoGk651FNPv48+Hh4f24cMHf//39/cjam6dTsfevHlj//Ef/2H/+3//b/uP//gP++qrr2LX\nmNQ6+V69971ez37++Wf75Zdf/OvZ2dmQQuI333xjX3/9tX3zzTf2zTff2O7uruvMIBHwpb06lXhA\nuMFVpAMxYCZqovOJRCCbIZ1Ou2LTpPqZo6wz1ERl+mitVnPRYtr86HH/IxjjblQq7927d/bx40c7\nPT21brcb0YvgSnowZThpmP56vVSNTHV2VVUq1DdYWlpysGBEOxKEk2gEoJGsamfIJKouAAM1Dw8P\nfSyLjp9BzUunA9MGrvtkGv0NDjM9DJDA7HQ6LhwTPj8Va+JZoCGgQx714NKRMrO0sNUWgfNGo2Gn\np6d2fHzsa2Xd6LCgw0HrcxKt1o+tU/GAd6zdbvuATEYgoWGCiBNax+l02rUykIHM5XJf/N1Tg672\nLKtIB6N7mIXEwrSPGeFyXq5pBxA+tk7d3KieMckYZo7ghZn9YUbvcEDoKKS9vT379OmTnZ6eWqfT\nGQJcHcGeBOiyjnD0S3gBrjBFlb0Le9ZVvjMOdGFn4wqeIBepUyx0ECYXcpNnZ2dODK6vr4fWyiRp\nlLFUX/lLk5xHMcTdmULQbDat3W77ARs3XYFpLAizr62t+WdV4fBqteqz/xBymbWFmgYKuhCxUJZS\nld507twkQ2nHWafiwfn5uTNv1X/WdaJzjBg6spMKuKO8axPvmDjdSkCXU+3k5MTHnKAkFsd0GdWT\nhNxcnOkoFEROOBzq9bqdnJy45q/Z53E8fwQbDAbW7Xbt+PjYXbSjoyMHjG63O6SOxn+zgadVaoPp\nqiZpHNNVoCqVSpbNZocGjeq0CwBOdVRLpZLlcrnI90wKukwCYFoAh9bJyUkElBklpUIr/BlPDNAt\nFouuuTotiCEnChNnT7bbbXe/45huKpXyKSxc/Bs9YFSA/aHwUpIWCocjDB4y3TBUhb6t7lk+8yw8\nX7Po0E6d86b3kOG6XPf3n2co6kgxVN0qlcpsQdfMIoAL6LLZAV0d6hgXXlhfX4+oC82S6epAOWW6\ngK7ZZ8Cd1WjocY3BjicnJ/bu3Tv7xz/+YbVaLTISB9YTx3STGNfDOmC66hrqhcYwkn3FYjGiGqbh\nBx1OSgwS0EWqchLXkvAC06dPT0/t4ODAPn365CO29/b2/N7ocEr9fTAYPDHWzDRsXrRpjH0JCVCG\nRXghjumGrncqlbL19XUHi1wu5yGFTCZjlUrFx+PM2kI1tzjQDcOSoaYxU8RnFVpgnTpOPY7pdrvd\nyDpTqZSPUkLpLZVKOeDGjXaPs5FANy4RxQmt2rhHR0d2enpq9Xrd42Rmn+epFQoFq1arEWV4wgpJ\nDXZUWUNeJk4nvWDh19fXrrebzWY9KbG1tWWVSsW1fc3Mpx4kJe0XZyrZxxgWWBrsttVqRfSI+dwq\nKJ/kXCzupb5IvCSAlQo/I/a8sbEx9LNUKg/gLRaLQ6NPpl0rh6yGQjikENTXidE6AUXjzQig12o1\nzzmsrKxYLpdLRKdYfz+sVQkIUo26NgTluXR+H0Mss9msFYtFH2Q5re7vKBbG/omF3t/fR0Y7haNy\n9F7M+v3CNB5OLDcc7PnQ5wslQsf1KEdmuqFOKwPpmGffarXs06dPdnR05APq+v2+jz0nzvfixQur\nVqtWLBad5SYpWG32+bTlYhIo45eJ4fLyMXlhe3vbdnd37fnz5/b8+XOrVCoeX8SlC13QpDfF9fV1\nJLNbq9Vsb2/PTk5OrNFoRMTJYWtx2r/hyzut8TLhKejkXF56lPY3NzdtZ2fHtra2hn6Ohhj4qlNu\nkwAHrVrQS18k7tdjF8L3/X7fGo2G3d7eRsS3pwVdZf7r6+s2GAwsm836dAdNLuu6VldXI5UdzBPD\ne2TKBdUghGuewsJ9gk5xOp22crnse0fJmsb4ZzEjL87wMM7Pzx2/CIOaWWQ6uWp8J2FjgW7cLHnK\nxE5OTuzw8NCOjo6sVqs56DJfiFIWXkZAN0lRaNYZZtoBr8PDQzs4OLCDgwPPSt7f33tSpFqt2s7O\njr148cJevnzp4zhWV1ctlUo5K+bknkW8icGSzBY7Ojqy/f19T0oyhkfjTGafx9woi2SKadL3lJdF\nx5XHge729vbQz1KBeF4w7jFVD9NaWC6mIQS9X3qvlHnzZ9ZJ4qfb7Xp8lJDZNKagi8fANAJAN3ym\ny8vLls1mh0oC0+l0JE6+vLzs1QtPBbq6T3QApIIu+7vb7ZqZ+SDIUND8KZgusVxAl0PCzIbyCUkN\nBDCbAHQ1fguD3N/ft0+fPjkAw3R1KvDW1pYPddva2rJCoeBM12y0OrxRLQQIBd0PHz7Yu3fvIuyB\n+uBqteqjeV69ehVJlJCg0bEys5DF5JA4PT31+OPR0VEEdFkHzyR0UQGOWTNd4vQw3Xw+76C7vb39\nYF1zeMiGFQ3TWhzTDSdp8PuWl5cj9axa10q2muv29tbK5bJtb2/7KJppjVAB9yEEXZ7p6uqqr61Y\nLNru7q69ffvW64jT6fTQ5BOd7/aUoKtld8p0S6WS3d/fe9YfHIljuhpbn4XpHDplukzh4PAixMOh\nnYSNHNPVALkOpCNR8fHjRw81dLtdv5nEvzY3N+3ly5e2sbFh+XzeXTedDhsmXSap1SM5oQkf6nGZ\n4/ThwwfLZrNe0AwTJ4POtbS05K4QMUxeSLPfXpg44B1nrWHY5vz83Fqtlp2envphVq/XvfQunDmF\nwYgoxQvd02ksjJNqTSW/mxec+5NOpy2dTg8VzGvMLgTfpNxJvT8hy+VizcRAtTSMUBj3WwvkG42G\nF8oTywsBYtTPANCafWbeYU1wWGLJBOhSqWTVatVevnxpX3/9tQ+FnTVD/JLpgcf+WF5etkwm46Vg\nmhMKwZZr1sZ+BieYk8feYCiufq/Z5xh8GCYbZ++ODLq6uIuLC8/412o1q9fr1mg07Orqyu7v7z1p\ntrKyMlQOROyq2+3axcWFnZ6eRqoXNNGirtKoptlrSmdg3wTL+/2+hxR0cjEj33HvWScJmIuLCx9K\nx4A6vdnjbnbuq17Hx8d2fHzscedGo2H9ft+WlpYsn8/byspKZIrp1dVVJJFFAoU4X9Jx0rAOU0vV\n2u22HR8fO+tqNBpDxfKwNhhY0g0Ho9rq6qoVi0UPexUKhaHR4O12258R7rAmFGHAYbhkXFOvKa66\nRwc0AlhUBVDyeHl5GXlncI2fEoR1H+qBrMx1MBh4bTHPOsmk76iGZ8hhlk6nPWwGwWI93PObm5tI\nKA1ypkUBo6x/ZNAFyKDiAMPZ2ZmDLovkg8AgtRwI9kimsN/vD3WCKdsws7FqNcM6TeoyQ9ANS3/y\n+bwtLy/79OJUKmVXV1fWaDQcvLvdru3u7trl5aWZmWfbJy3kJjYOqPd6vUg9KYcFh9LKyoqVSiV/\n4Tqdjp/GcaDL+pJ22QFcNiLsl6qQxcVFu76+tqOjo0iW+vb21u83bd+5XC7xhoNRjGTUzs6OPX/+\n3DY3NyN1r9xPAJeDX+s7dRIv7vu49xrmxJ8BXQUDjYMD+hcXF9Zut61er1smk7Grq6tIwjqseHhq\n0DWz2PAW7xddqFQv6Tv0FKYdk9xn8IjKIa3a4XOEVTrlctnftVHJ4VhM9/z8fKjYHNBtNpueNSUb\nWyqVnOnCDCmG7na7VqvVrNFoDPW8ZzIZy+fzZvYbmIwTOx0MBkN1mmT+Q9ClwB3QpUSI8AixVa5m\ns+mAS2KADjaz8V84ZVGNRsMajYYzXUC30Wj4+vja7Xa9KwkXOATdXC7njSdJgW4IvFre1u/3rdVq\necio3W7b+vp6pOvn5ubGM/96JdlwMKrBdLe3t+3t27e2s7MT28jR7XatXq/7CxUyXTrxzD6Hm8YB\nOL4XYISp8i5RM64JHVxzmO7Kyoo/C1x4fe6wtVkDL+s3M/ciw8nPNzc31m63/1BMl/sc11hEHoN7\nCdPN5/NWLpetUqnMnunCHpXpAp7FYtFvZqFQiLR3wnR7vZ4NBgPrdDqemSeRxdXv9yNZ8XGFLEKm\nGxdeCJluLpdzIKH+VSseDg8PrVarWSr1WwdKpVLxDL4+yHEMpgvoHh8fe9KMe9tsNn1z5vN5z1Tf\n3d3Z5eWltVotd9tDpoubPIvkVBzoUvcM411aWhrqlisWi7azs2M7OzueaEmy4WBUW1tbs0KhYNvb\n2/bmzRt79erVUF5hMBg4k+TwD5tELi8vnVFOkqwKgSZkuuvr65FGDn4/3g7ARuyaOmLtqFQ2PUvj\nnQVwiY+afW6k6vf7Q3orT1EiFppWr8B0FXAVC87PzyOg+xjTTRR0tV2R3m7inBQI89A1JrW4uOjs\nltY6mCMgo8IXl5eXEeZGNnFUC2sfcWE1C03LKoIcrVbLS8IAiOvra48Hk9kMNQ3C2r1xqxn0ZdWQ\nDKVXrBM2CNu9vb31jDQvkzJQNg6fMYkqC2KxmUzGCoXC0L3gmWnJlb7o2vXFfmi32x5DzWQy3mwx\nrWn5nDYQhLkDwA2mE8ZAaTYggQXAAR40XKRSKU/MjXOv415Q1g3TzWazkcQlHkO73fZwg4Y6tFNQ\nw3SA3KwtlAegAQG9glqtZufn5zYYDNzbIJmdBEGIa+QiEaaEga4zwnSE9/QiWWpmnlxLp9OWy+U8\nH6CgmzjTpRSE0ACLwqUx+7zZ2dBLS0t2c3MTSUy1Wi3b39+3w8NDD09oUohkHKcJsZVRLZVKufgE\n7Y8aL8I9XF5e9o6vhYUFazQaDlZ8pVuFel5tOkjiVKbcKp1OO+BwLzk42u22F8KT7NGqBFxHSmB4\nPlqGNG1pEwcpWXO6pMKkTyhuQ1xcC+FhFmZml5eX1mg0nJ0nBboKuIAOrD+MIeozDGuISfRp6As2\ni+dHqEdjmdMYhzAveD6f94MKL472U20hVs2ARqPh4TwSvzyXWZp2bHEBtniMSAPc3NzY6uqqbW5u\nRiqakojnhxVBMFa9II56af4GESQlgel02rtWCZ2Wy2Uv80s0pmtmnjyA7dIXrqVDnPj64tFGSY91\ns9m0g4MDd6MVdHFBU6mU5fP5SBnHqIZ7lc1mfXOSHWZD8PIDuhcXF7a4uBhxK8I/A7pJ1r9qjSsu\nNveQvyfpoFeYgNAyufPz84jbSeH9tOtEYYvGENagpUyhmI2ZRTwMDi/YDLWvJAeTAF3dg1pzqyVY\ncS6tlgKpi6xVBIAuLzKHMgfJQ+2j465fQZd9fHl56awWIABw19bWXLOBMB+1vHd3d95Q8RQWNiYB\nukdHR/bx40cPO2k4rFKpWD6f9z00rYWNXNruqxKOesWBLvuRfAP3MZ/PR5gu+ytxpqsZWxX1/RLT\nJTF1cXHhH+rw8DCW6QK6i4uLVqlUvENkXKZLbTCSa7jZuN684MTGANjw0s8D81SmO63BINPptCeR\nYI6wnF6vF9ED4N+E/fnh8yGhSdhnGuNwoLpAVbcAJD6DXvf39x42wuXV8jjEXDqdTmKgy339EtON\n0/oINRD0QIljurzIhIWSaJaIY7rUs2q1C3/HPshkMi52AyjQ7UVIatamHjGHA12rNCadnJw4A89m\ns1YqlbxkL0mmqzFw7TzDEyCsgDob4Qa9yJVwra6uOuhqkYA2dyQGunwQ/TBhW2XcL+MBaDxFk1u1\nWs0TQfpzstnsEKCPaoCumQ31z4c1pYgUo+gUslzVT+WUo8edl1c/97jMF1bDi4aLDlgAuuFhEMe2\nNdOKW6Sx9mkM0NVDYnV1dSj7G2b/7+/vIzGylZUV63a7NhgMIrXG6jElxXT18FI93PC+KSvSFuHw\nAOHFU8+C/ZSUhCa/W7UsisWix46552bme5X3kkNNhbipQd/a2rJ+vz9VI0dcI09474jVa2y5VqtF\npAJOT0+99DGTybiwVFJMN2zkwiOhvE4lUcMJFhpqaLfb3k27tLTkB2CpVHJPgkkR49pInxCJu2Kx\naNVq1fr9vrtUJMp6vZ6XMDWbTVtYWPC/U6BGwo6+bLPP5SWUihFYn0TE2izqYpqZtyDCXtfW1iIn\nGzdZtWGpv8T9YRzK8+fPbWNjw3K5nAf+41jTOGuFUZuZ31dNSuqBgdB2UroK45gW8QMMvMiwf42J\navciPfeq5GT2uZYzqZKhMJF6d3dn2Ww2ki03+0wILi8v/aVbW1uLJEg5EGC03W7Xu+w0xkc8LwmW\nBlEoFAreZq2JtVwuZ41GYyj8pc+g3+87mOBScxBP2sgR18ij8XptLODq9/ueNIeZK0vc3Nx0Nbqk\nYro8N32XSYjrOLFQlpR3nnvJ8+Xdp4nm9evXU4sIjfQJKZMqFouRDqiFhQV/qUjYXFxc2MLCggfK\n9SREZpF4sH5AzYxPM64FENP2SkCXsqRCoWCNRsPq9XrkajabXn5Dh082m7WNjQ3b3d213d1d29nZ\nGQLdaQq7ARrY1/LysieqYGva+cT3JKmrMOo6tYifcj59fhoj5eXX/cDLDzM0s6kPrThT0DUzP8C1\ndlUTw4hXK+AidEO1C99DTXEIuuyFaT8DezSfz3t4LMyaN5vNSHISr1CbVShFVKH2aRo54hp5YNTa\n/v9YMvrZs2eReCigC+tNCnS1DFNHcgG4JycnsfrTrNnMXP2uUqn4u//8+XOrVqu2tbU1e9CFHRaL\nRTMzB0NuKl1TuBf8PS6mXqEOpVmU6QK6DKichOkqOLCxFhcXnUFcXl5arVazfD4fCRkQN7u8vHSX\nnyqI58+f29u3byO1eVr8PSlL00SfuvGaCNKpGgiG/B6ga/a5iJ+aRGK8PEu9F8TxFXSJ42rbq8ar\nk1gnOQWSdspGQ9CFBHQ6HV8X+yaO6VJdw6EDi06qfVlDYlTwALiFQsEqlYqXayoAqqusDB7vAtCd\ntJEjrpFHQYwGpFBOk2ein61YLFq5XHZhJDSrk7iHhK4QudJpIXqFeZwwNATh4t1HWAjJgCcBXVgN\n7ZNLS0ve9UU8D6YbKjqFtawaF+IliWO6j00w/dJ641xhzWgWi0UHXMIY2nAA04Tpvnjxwr766iuP\n8bJRpt0kIVgTFuE+qYo+YZqweuEp7EvrDJOdADNaxJRYwXxDNzfJ8AJVG8R22UtaBxqCLtoKmjwN\nQRe5Uio4wvBCEocgwERzwWAwiACuZtsJjTEB5e7uzuvJw9pTwguTNnLENfIgyMTMvpOTEzOLyiAS\nEuGKY7ratjzt/eNwoFuPpL12eh4fHw9hFB4b75Yy3efPn9vXX39t/+N//I8hfYtJbGTEwGUDJEul\nkm1tbVmn0/HSH3VxuEIab/b5heWrPoiNjQ3PZtLGOs6DeCixFbpSYetxqOzEixe6dlp+NO1LFvdv\nw7/TzbCysmLX19dDdbqzti/9DjYuLhoXGh1IfTJxVzUCONRIpCTRPacxchKrWnMLSVAZzcFg4NrP\ndEbShdhut71My+yzqlq4b5JYO+vHq+HgUJlGBJBSqc8TgbWTKg5QwvK4SfMkhLziDjIlNRwYeAw0\nzBAqI6xDOakexHqx9nHWq1UoWvKH8l0mkxmaXsG9CkWdwpZvGDGewiQ2ckxXk1NUGGxtbdnt7a0D\np5Z9wRI0I0jyRAVuaKnd2Nhwd2Nra8tVssYF3VFNE1ha8qGX9sE/1RDNONP6Uf39TxleCI3yIC3N\n0RIcssW0UDcaDY+Tr62tedH+xsaGVatVq1QqXpI2rcXFnwFJOv5o3EFJrNvtegcaF/WlrVbLrq6u\nzCy+HE0P6iQsrA5QNzjUNdZhllpiyZ7WA1vrlCcBXerfAVMtUex0OhFxfQCLDj69f7VazTP/CB6F\nDFIrR8bx5vCwqDZQsX0F4zDpd3Nz47+Hfa2ddKjnKWPX+Pg4NvIOZ8EsHtAl7lmtViP1mNToHR0d\neZMELhw3BabDy7e5uWlbW1u2ubnpp9OsQNcsHni1TTTsuHqKIZoPrZHNoi/P7w26CggAmMbNVIGu\n0Wh4Imd1ddVKpZInJyjBodZ3WnsIdDk4qeFmzbRbq9eztrbmUpWM4jYb1i0mBJbUnghLsfRQC9kX\njTC0syroapkbB3XYkTeO0XSUyWQ8wUdiTScvaKWNhnIANvQsFHB1QotOEYEBjxN71iRvPp93ohcS\nF42FLywsePOJkglVciPHRHiJROokNhboKkhx4iPCwgPQq16vO+B2Oh1/0LAEYlWUZGxtbVm1WrXN\nzc1IfeQsma7G8ELWqyxBJfOSTPyMYnGg+0dhuoSVVOjmw4cP9uHDBzs+Po6U5VxeXnoYAdD96quv\n/EBLqiOJe4ILGMd0AYder+ddj4QguOigpFrAbFiHVfdEUs8iTlxIma7O96K+lHizCnE/xHQnqRaB\n6VJdAfDrFGPixlppo+ycRgUS2FQsIEuJ2x/me8ZtjiKHQ8md3gtCNDzXhYUFv9dhck1BVxPtxPMn\nbTgZK7ygxgdTU/eSukek8dbW1nxzcmKSHFChc2QgZ216gKgrE8aVwnDDQ/fjKdZJ4kpDDGFnmr6s\nYWxvUosTEQFstWwJQW1Gnh8dHUVY2+LioutiMPng+fPnkXucRGJSv5p9VoZiz5XLZWu1Wr7+drtt\nV1dXQ7rOOq6HNnCND3MladxbzYtoLSmERov7mQ5NvBFg1c5BPpsmLscxEsuqL0BNPgk9TTyyZq3l\nBVAJiVAWChDTDMWenSThB9NdW1vzw0e7ZInrhyWEqdRnnRB9BtT5Qv6I5+MxUW0UxqEfs0TVonE3\nNfCMW6FCLul02gqFgm1tbdn29rZtbm56G2BScbEvmcaoFcQ0rsNLSWyn0Wi4K4nr9hTrhV0Berhh\nJH2QHqTcrdVqRTRCk2hPDeeNcU9wLXHFz87OnOmwKfXa3t72sU2ZTCYCArPyHJaWljwTDTidnJzY\ns2fPvOKGv9ckCtU6y8vLlsvlbHFx0TY3NxPVCQiNuncFWJ24jUYAdaeAHUwdgGUaMIIsSTTyhIaE\na7VatdvbW2et2hyhh0On07Hr62uvJELelXcMvKCLFaAfl+lq3N3MIqyZJKCSPu6v5iM6nY73IvT7\nfW8L1uTlxcWFa2prku5JQTfUGtWbyAmmtXpbW1ve4cWo86cCXWW5sBtAF3amcpb0bQN4eorO0pTp\n8t+ajQV0l5eXHXSbzaYnEpIAXUIJyr5CgfeTkxOPkyH6jKwmX3O5nG1sbPhBS+JMM9Sz8CAUdGGs\nAC7C/HxO9RaIP+OWo4o1S4IA6GrzDmySYv9QHYsEJSBINdDOzs4Q6CZ5uC0vL1s+n7ebmxtbWlqy\nQqEQadBAUKper/tYr2636wSB5Fsc4GqYYFxPTb1SPm9c16uGQtGIoG15eXnZgZ8WdapvwLd2u22b\nm5teCGBmHm56zGbOdLU3XQPQxWLRNjc37fnz51YqlRKVdhvFxmG6PJRGo+FKW4RJnsLYNICvlj49\nxHSz2azXbCbFdDlQGc2jE4v39vYi4QzcW0oAkfBDFzifzzvTnaa5ZBSjnZvQTC6Xc4aL92IWjaXC\nsvAoiAUnXd4WmoLu0dGRHR4eejISEKaETdtvORTUg4xjukne65WVFZ+4gl5K2BxB5v/o6MjW19et\nVqt57Bnmq+JZJNsA3EKhMDbT5bnw3hBWCMXJtXW53W7bwcFBRLC+1+tFhhoQUiOWzoFI/TOVWF+y\nxEGXU27U8MLz5899U/+eTDcOdLnhdCw1m81I7WQSAiejrlWbPQDdh8ILt7e3ls/nEwNdZf7E7WAG\n+/v79u9//9v+9a9/RaYAaw3uixcv/IKV6z2ftcF0YWbsTxTviFNq/BmWg2gM+QZlurMMLwC6Hz58\ncPFvmJh2z7Fesuv5fN6q1aq9evXKWVg2m53JvcY7pIxMOw35enx87F4sXg1DbDudjhMZFcZKpVKO\nEZMoz2miP+yI1aYjBWF0NXiPSJy22+1Iswl7v9FoWD6ft3a7balUytbX161cLo+01kSfQljuEqqR\nEVvhhmhW9ffIxmsFg8a5QjdTS3W0mHraBNWoawz/HNYT631j0+p0iyQs7tkykJLkCS4hsS/NGHNI\n0JjwlM+bA5akB9UHD5Xd6XN9qHJkVo0pesBxfyEw+vWhz6kZ+qRF9+N+35dc6V6vF1F5I3lFyKrf\n79uzZ8+G5pNNun/jEqlxRn+B/p5wnXy28HkoYYgjll+ypxu/Obe5zW1uc7PUY2wtlUrNnsqNaff3\n97FH2Hytk9ufZZ1m87XOyv4sa/2zrNPskbU+hYs8t7nNbW5z+83m4YW5zW1uc3tCm4Pu3OY2t7k9\noc1Bd25zm9vcntDmoDu3uc1tbk9oc9Cd29zmNrcntEebI/5UZRjztU5sf5Z1ms3XOiv7s6z1z7JO\ns4fX+sWOtLDzij/XajX79ddf7d27d/bvf//bfv3116Hpmnd3d656RJcHGqoMenv9+vVQF8lD3SSj\njI2JWyvyfSgItdtte//+vb1//97evXtn79+/t3q9PjS+58WLF/aXv/zF/vKXv9g333xjX331VaR3\n/bEe9lFH3HzJaFlULdVff/3V/vu//9v+67/+y/77v//b3r17FxFfX1xctLdv39p3331n33//vX3/\n/ff2+vXriIQlLZmjrJP5WIhT9/t9Oz4+tl9++cX+9a9/2b/+9S/75ZdfIs++3+9bKpVyARa+0k7L\n10ql4kr8XKurq0PrGnWter/obDo6OrIff/zRfvrpJ/vnP/9pP/74o6tgiOMqygAAIABJREFUsdb1\n9XX761//an/961/tf/2v/2V//etfrVQquXwjXV6jWlLP38wiGq+3t7dWr9ft//yf/2P/9//+X/+a\nyWTsm2++8evrr7+2UqkUuUIp1nHWGrfesLX28vLStZQ/fvxoHz58sMPDQxe1Pz4+tuvra/v+++99\nb3733Xe+B7geEgef9J4eHh7aDz/8YH//+9/thx9+sB9++MG1fxHmYnKEzu7b2dnxe/n111/bV199\nFdmn7NVwbV/aqyO3AYejWVSPABUhxG24GFWtw95WVlasWCxaqVTysc0KFkmMwQnX2u12I73rZ2dn\nPqwOaTyEevj3vIinp6eu+4lSkWqqTjqcbhpT+UFA4/b2NrJhaBdF0ANxa1qfx1HjN4sq75uZK/OX\ny+XI1AIFOwSOaLft9/s+HkeHHCKIw36Jm5E1qt3f37tGBBci36hZAbba0q0jxpFOvLu7c4U0dBh+\nD6PlmkMNDQCeOwcNOiHNZtPOzs5ctCedTicieqTge39/H1nT1dWVdbtd29vbs4ODAzs4OLCjoyOf\nGIJqG9OjQ53fWbaFa3u06uAifQpu6bQO2o/Pz8/t7OzMlpaW7Pr62oWbrq+vXcM6BOsv2Uigq/3g\nXIAu+p5nZ2fef8yJjJSjAurq6qqVy2Wf69TpdCLi0dNKz8WtFdA9OjryDYFyE4pNjDkBfFUKDsHj\nhYUFHzMyzYykaU1H5bDxQyFlVaDSoaCjbgy1h+Qls9mslUolB1zV21U1fvrpAQmAA+EetGxRoFOx\n7XFFWhR0mYKrI8svLy/9JdMpBQq6zWbTJ9syKeD3AlyzqOIdM8kUdPke1s90YECm3+8nosER6m8A\ntIjBNBoN29/ft/39fTs6OrLj42MfWx+CrnoQsx4/pVq6gO7a2trQ3DkOY96p+/t7Oz8/t9PTU1dF\nY9IIWssQkXH0tcdiujrdl7HUgG6tVvNNrCI34ZTP1dXViHBwt9v1f4e4yLQWrlXHMX/8+NHevXvn\nQtHn5+fOdNncuAco0OvE042NDd9Ak85ImtZ0VA6gFoY8YLoA7/X1td/fSV7AcEYe45bK5bIfWLAg\nXhz0VLm63a57SbBYdG1RAiuVSq72xO8d55AIWR/i3zBdQDduugbjexqNhqXTaf/dHDC/l8WNiwd0\nYerMIePQAGCS0lQ2i6qw8fsYZ4MHCanBkwS8zD6Pl4fpKugiyjMLIXuYLoc80p58JvaMYgJ7+Pz8\nPDLZWgGX8ALvk74jj9nITFelDnn4IdONk3bTOC2LVTFmZOr0xkxjcWvtdDoeUnj//r398ssvEWYW\nuplcqGapKhIAgSbw72EKupzKGPdbwwscPpzK+pxGtdDVX1tbcwFrPBq0TAGrfr9vBwcHPqKFw1rj\nk/zbdDrtI3xyuZx/Fu79qAwoZLoAPiwFsAr3qjK3ZrPpQADg3tzcjHW/krTHQJd7CAh2u11fez6f\nt0qlkijT1bCdvlto/x4eHtrR0ZFfZhbJ6+jY+lAJbdbhBQ6ibDYb8d4WFhbs9vbWD2jmpiGwDrFh\nv6ysrLi2ciaTifyOUWwspou0GaNEdBCdvtRcLF6vhYUFFwLGjWNDM8VzWsPVury8jLg/fCWOjEg1\naw0TFuvr6z47qdls+qHBBGMYulm8BOOXLAR5lcPUrxoqubm5sdPTU2s2m9br9R5kMRwirEe9jXE3\ndlyCk3uXy+UiHo1eyD52Oh3XrAUcuO7u7iJMVFk547vHNX3+7NNwjynDJfbMHmBvcrCqG/97mDJ3\nSI4Kf/MZ1MPTMIruhUmN8IuKp5+eng6B7dnZmTWbTQ8r4NZz35kAnE6nne3OOqaL8L+Gw8L9itSj\nmflsNA5wkm3X19cRstjtdu38/DwiHTqKjcx0YVXElHhBYDqLi4suqk0WcmVlxU8JLoLY/X7f6vW6\nLS4u2vX1tZn9doJM68aFTIe4MeLesNdsNjuUhdS18pICVP1+32q1mhWLxciGR792EkV+1qr3RytA\nHro+ffpke3t7Vq/XIyxXTVXzNXGRVOyMJA0ABpgruD979swnvvKCcd9IQmilgcbVdBDnOBYHPvy+\ntbU1KxQKEQ1V9WqomiBnweihSYS0kzRe/FarZWdnZ3Z6emqNRsPji9z/WdpgMPAJ31xnZ2d+nZ6e\nWr1e93eNGL3GUZn+DfCqdu0sNYoXFxd9RJgmnPUiDEI48qH7qV4HeQL26qiH21hMV9kDGxIGAOhu\nbGz4GPVMJjMkwAwQAGIIMkPZk5hyELqXJMsYw0IFRbVatZ2dHXdpQ3DT4YD8rEql4u4dLELF0CcB\nXZjDxcWFMzN+p5a28BWGUa/XHxW0DkeFJzlME9DlhV9eXo7MOuP3K+iqKwnohrFpLgSmJ2W6OuUC\n5ry2tmbFYtF/dhjm4GUEdLn3HK6/lwG6TOs4OTmJeDpPoRRIFdDJyYmPZ6rVaj5+nfeMdwfvgTgq\nJIdxTewLmG4oxp+kEb66u7tzAA73KvuE6eVfAl3eVcI5q6urI3tDYzFdBrLpAELdsOl02sezvH79\n2orFYsSlJ66nw93q9XokRjKtG8daORxwBZTpMsBvZ2fH64UrlYrHgImFkhggrFKr1dx14mXk5ARE\nxl0r4ED4g7iSbmQFfqbw8r0PMV0ytjp2WmNYSTFdnSUWxu85iENXUu+XVrvA9K+vr215eXmiyQFa\nvRLHdHkBNVyj5WO8VCT8qGz5I4AuVQkh6D4FC1fQff/+vf3888/OtrkgALwHJKKJoxYKBSsWi850\n19fX/SCeNPQ1ivHMdShuuFcB0Hq9bqurq4+Cbkg++YyJMt248AKgixuuTPfly5f27bff2ubmZuwk\n02az6aU85+fnls1mrVKpeJJlWlMgC0EXpgvofv311/bXv/7VdnZ2PHZDPefHjx/t+vra6vW6g7CC\nrjLdcetJua8wXdZKFpiLQYSMsGaYn7K0OAvDC0nEysOfz9gSPkvc98QxXUCXsreQ6fb7fVtZWYlU\nF4xj4VRqwhUMmSTJp80RsGI8GJjMH4XpctjiypMYfCqmSzIU0P3HP/5hzWYz4hne3t5GRnBRz/4l\n0B01FjqpUbbKOxB3v6hwOj4+jm3O4d+Bg5rUzGQyY8X9Rw4vhJlLnYNFbE9nvzM91cw8yLy+vu5z\n7K+uriyVSkVmIinbMIt2dkx6AmopE6cp9Z960cSh5R/EoIrFoocVGBt+e3vrFRxkZkkojbNWBWwS\njwrElNVpuROF3CET1PsVJs6SZhBxHWNxhofEBFWSWngcqVTK9wtDNtPptCdfJnE52W+88BxAepEA\n4R6GCaewQWMWDIxDR1m3dh7y9f3797a/v28nJyfWaDT8Pmr1AuV3Oo8OUJu24UgP+HDEuu5BLa/j\nWXLgkjDFK2Z/mllkWCkHc5IWhyGaRDX7/Cz0ECZJSSKOwaY0d2lHJdg2io0NuvqyA7paCsIFAGu9\nayaT8aB1p9OxxcXFobItLgWjJDa8loiQKdWfjTtM8gYwyOfzViqVbGNjwy4vLy2fz9vy8rLd3t5a\nt9t114LY5rhj2RVwARhcGIBKa23DYZ/hzwlBfFaAMYopkyfUw1hrElckT3O5XOQr/2/cuu1wT2az\n2UhFDQdsKpXySgVCCsSQ2QtJhWIeuz+wcS4t8ePlJ4Z6fHzsLj3fx0HB3tXEVei+T2r6Xmo4iD2o\n+42Kj3K5bOVy2fezep/aZHF3d2eFQsGBepzSq2lM1wCDDSeZk+DXBq9CoeB4sLW1ZRsbGx6jJq/x\nJRtrR+t4ajanPmi9OG0B3Gw2664QtX1apqUPUzOM47arxplWFmipSAhK4cRYXKJyuezx6Fwu55nK\nXq/nzB3AHdfV0/gnCS5lh/xeQDecRqxlYXGfb9ZZ7ccsjFnTIMHacC0VcHE9FSTH9RzUswpHvuPR\nUGfKHnwMdGcFvDRkEGpTr0YvdAuOj489vKXMmP2nMVQ0DPAYptkH+l6GAKyeAdUq1Ftvb29bv9/3\nEGOr1fJqC02gMir+/2nvTHvbuJKvX5RkbaS4i1oM2/GLyQCDJPP9P0VmkACDxMnE0WJJ3ClKJLXy\neZHnVzp91ZQpsknZ/2EBDRmJTV123z731HaKuPs8LCzXZC0aamJSMdf6+rrjAaBbqVS8Oihx0NVa\nQG62ZshDpgvbxbVQN65Wq9nm5uaTTBdLarOHoQV1H/k9Wti/uroaYbq4xVtbW850KRfRl/w5FrLS\nOKarL5i2rvJM9LPC2sOXZroaKoHp9vv9SEcSYSguZTyTHhpatUFjg8YZV1dXXQSJEANgwD2dxz3U\nLjjKwbQ9HnEmciJc3W43tvMzbABIKrwQx3LjmK42De3s7NibN2+8cuj29tbb7hV0ufB88vl8gnf4\naVO2HYYWYLqwXPYSTLdcLjvoKhOeCegqJVeXnLgmnSbr6+uxp1an03HXBxEZMtkqVMLpwu+YxkJw\ni4vXxf0eZQ25XM56vZ63BN/d3XlccGNjw13/STq99B6GjCx0tQBl1Qwws0eNKVp0/lKga/YAvFpJ\ngMYGB1V4TcN2wvACzyW8r/TNA3yDweDRoczzmFUpU1yCutPpeNKZSyuAtDZe9xqgq2EVBd1pmC6/\nK3zfNaZLOaYmb9PptPV6Pc/hdDodq9frkX0KO89ms5ES1Fmb4pkSSg0zsBbVbcAjQzlvkkNieqGD\n5/7C/39qoFC1u7vrzGYwGHjDhL6ELw0catolZmaRROBzS3cUIGD329vbLou4ublplUolUlERqofR\n1cWmIBG1u7trhUIhomPwEqZJLbybuPbPpBgl95QOJDPzqhVlzmFr7eXlpSdD2HfFYtG2tra8azFp\nC0Fsc3PzURhJk8oYHVTq8mtSm2qVpA5e1pjJZKxcLtvr16/t/Pzcms1mJAyCuFStVvNa6E6nY2dn\nZ9bpdDxGGnp3sw7jxBlrUM+GvcifqTXmoE6qZfnFQDebzVq5XLaLiwvb2tryttFms2lmZvl83vvy\nky53msYAXbMH9zDM4o5rvHQk33iZiG0VCgXb39/32l3VEeCCXa+vr1s2m7VisWiFQsEqlYoVCgVv\ningJC0FlY2MjwiCpTkgyYaV5BhJMMEN1xzk4+/2+gwYAhYtcKBQcdJMQYoqzuCYWrWKIK1XTkjcz\nc5YZHnBhXfSkxjOk/X1/f98Gg4Ftbm5ao9GwVCrlNe7dbtf1PSAL9XrdSx3NHucxZtkYMcrCRH2o\nR40XxEGmoalp9+uLgm6pVLJ+v+9lPTBdFULZ2NiYSx3iuMYLy0us/e2T1JTyMvPCUHZTKBRsb2/P\nut2uVavVSO1urVZzgO71enZ7e+sNJsSadnZ2nOnOCjA+Z2xqZXJLS0sOBoDuNPHbOIPpcqCFjRA8\nL8IKMN2trS0H3VKp5EyXMFjSFsd0tQZbdV3DfxcydmW6IehOy3T53EwmY6VSyQaDgbf5AritVsuZ\nLqG3ZrPpuQnUusJQX9KezrimgMvhHAKvmY1kul8V6AIqAITGcFQ8R8H5SwJdZUpm5km1SeK5esJS\nBYHaFiDe7/ddLg8AIPlDa+jV1ZUzXdw/Bd0vgekS4ydhAujOIrzA5yK7R7MDmgDUOWt44eLiwttE\nAZd5MN3w/oQH+FN7iu+giawwvKAH27Rr5L4Mh0PP1FOdgIYKgKvVR5pIB6jjkr7zrrTR/aYMVyuJ\nFHDDPTupjb2TNMkQshQze5RNHbVZtG2UJFWoohWyx+fauGsNy1/iiqjjTL/bON95lI0DMmtra3Z+\nfh4p/4kDKi3No789nU5HtIDnbWFJYTabjWR6zSwiPjPJPYyzsJ5c1ea4tJUWt1e71gqFguXzeb/v\ns2S6sFMOcgVQZauAmCYnccv1gNN/l4TAEYC4trZmmUzGwxnaNk/XXygapV6hNnFoNYA2F8xrr4b3\nQxO7vEMkfanpTkq5beydFLpBGxsbLpFGFlaBd5Rp7IkTmcQRnzOtjbPWEHBVuMYsuVK1aY0Nq3WE\nmmiJa1KhGyiJGs1pTEE3k8lYPp93EXUuTUQm0WqrFQGUADE5RBWyjo6OrFqtOsOFGSM/CBjM8uDS\n56b1wfry9/v9COjz3ShrCkEXsA5d4STWCljyrlBJQQ6C0U160cChpWGAN6Vl5XLZcrmcJ81fwsJ1\nVSoVZ+xm5mVvqrsyqebFWN9QY3O4QRQDsyh1IT7HdMPYkwLutBtk3LXGFXzzu+eZRR3HtGIibr5X\nHOhSI/0lgK4ycDoSdTZVODpnGtMuOKo9ms2mj485PT11hTZqXgFdvX8M0gR0ZxlegE2FpW6wRlxy\nFVvp9XqRPa0hBi0/TCpJqe8Uz5VYKDmISqVi1WrVB1GqfraZRRTptImCVtpZhnHG+X6AbrFYtJ2d\nnYhqWq/Xc/0JanhnCrpmj9ljyKJC0B1lYcA/nU474CaVwRx3rWFjhq7xSzJluryMxCVHgS5Mlw67\nlzAFXZgujI57ziEyaSIyzlT0W+fjHR4e2sHBgR0cHETGGVFyx/3LZrMeoqH+fJZMVxnuqLAX34mG\nmVA86Cmmm8R7xbPUZ8rPXC5nlUrFdnd37c8///TvAVCZPezhOEZZLBa9WeZLAF0Y+NLSkgMvBx1D\nWOfCdMPSn5A9hsLQo9huWNqiQwuTqMf93FoB+FDAQ8XY2cRhM0j4feYBzlq4rfEy7QyMA90wkTLt\nGiYxXRfzurjXvJBheCEJpqsARUH+ycmJHRwc2H//+1/7/fffH70wev+IP1PKCFsc9ZKF+2DcfcH9\n+RzQ3N09zD/rdDqxmgoh09WkTxJMF7DVpCwToWGD7XbbW+QvLy+t0Wg4OdBa6RDciPVzaCRt4+yp\nVCrlE4Lz+bzLzA4GA2/uoI1dwwtxn/25ez026BLzymQyvohms+lZTDYGEmknJyeRGjdOX3QFmEXV\nbDYjVQt3d3dTZ9vDMiXtfINddTodOz099fBGu92OKI6trKz4MDp632u1WmTeE1cSGeJRFmam40ZW\nA8oa66M+l3hhEhZ2JYZC4NolNxwOrdfr+YDCs7Mzq1arLnqjCk5JF8eHHUZxbaxmUfUpgKJer9vx\n8bG3J4cF/Jr81Jg1TE11hZMyrTHmO8SJHs3blF0Ph8PYd4P9xzOha1XDH7OuXtB23zDJyp+Z+kto\n5OTkJLJf6ZbTOXrVavVR9+g4SmNjHytsrvv7e1teXrZ+v+8ZRzYtg+rQpaT8Btk+TkGdWlqv12N1\nBSY13QiM4IHxmT3UNXY6HatWq15oTheNXhcXF1ar1TwJ02w2XSNAS71mCbr6nXioo0BXNWT7/b4n\nK5MAXQVTsucoXWlnnF69Xs9jqdQaA7iIHyXdHKGHgoJUCMBmFgHR+/t7Z2dHR0felBPXNq4/19fX\nvZGiUCjMZFS7fie9v18K6BJ2iANcmlRYJ3tyVh2JcabeLTijmMOkkGq1GgHeRqPhmt8QwjjQReCL\n8sxEme7GxoYH/i8vLyO/hFMA0IVBFotFb6fb3NyMgC4iH0kbYEh7LQH6kOlSZ9hut13IRk8s1Pq1\nE4xaTlpaQwCcxaaJS5CoaI/Z4xE1g8HANjY2EjnIzB6rMoUttLSB6kbu9XrOcs/OzqxWq7m7xufp\n90jq3oWgG8d4+V1aSwrorqyseMOJgqwW9QMUW1tbtre35ywul8vNJP4bB7gvDbrcO96tUUyXNeLC\nj5oCPEvQhWyFI7n4b5AwvNqTkxNrt9veVadM9+LiwprNpoMu3bNg3OdsbNCFzSGLd3Fx4UyXYn3q\nIRuNhmc3dTF8+aurqwjTDd36aUyZLg98VHjh+vraazZJOqkaFWEQEjL9ft8ZEBnvMHaWtGkheRir\ni2O6gC6dfnT3TWsh2wJUEWnhfuqFpwCDqNVqdnt7689bC9KTZDoaXhiVNA1rshV0UZDDO9K/GxbQ\nFwqFCODOAgRHMd2k6ponNe4H+zMEWwCWvwsw864pYeHvzMIIhRF+04nGXO12O8J0T09PrdvtRqpI\nRjFdM4tg3OfsWYk0PcGpfyWWRacUo0WazaYzNA3uq4oSGqJ8Tgi+k7IfYrowPOqB9RoOh37aIfEX\nyv8B0LjRqjqkCv1hUjFJ02oPqgB0qB+H4f39feQUhk2k0+nIuJkwJjmuhS+9TkRtt9s+0kgZBPuA\nuFi/33e2o/ePcqGkKi3CpJJeHFp6mLHPGEyIuHnc82Rv8tk3NzdWKBS8zXUWIBgmhxXURoWaONxm\nGYYID0k9TPXiXby/v4/tRJx1dY2CJfXDKhwP6OKNsWf7/b7ve4gne0UrirSIYBybmFYuLy9762mp\nVLK9vT2vFjAzz/YBxIxvRpT57OzMRTCQ+gMkptUCVWZo9tcBkc/nrVKp2Pn5eYQN8pMYozIiNgTx\nmuXlZdvd3XUdzUqlYqVSKQIaSZ/WmlUlU4xb3+l0LJPJeIaYRBBun5bnoG8x6UYPE2gKuq1Wy0MH\nCrqIydzc3NjS0pLH8qiBRRrvzZs3VqlUXPtg2vulZWowWI27wk7VeJl4QSlvinsWAJ6ZzSW2GmbV\nqbTRKo1QqrLX6/n3wuv8X7Wbmxv3aGGxoVIf6miNRsM1rM2i7cGrq6uuyVEul217e9vff81vfc6m\nAl2K3kulku3s7JjZA3uig0OZbzqddmap02wBNEBX2eNzX0JlMGZ/bToVVibhgyA09YRMVVXQ1Uwr\njRwKuNvb21YsFp09jxNEf67xolOew3rRJWbMPdUC9XrdO/zW1v4ahVMsFr1Nkxjcc0A3Ljml4QVA\nNy5eBhNIpVIRfQjuHz+3t7d9YsS090srbczMer2eFYtFa7VaDroaF9UuSq1uiDNNTBJWmzXw4rrm\n83n3WgglMdIJ4kK8nQ5MDbP9r9rNzY1LTH78+NH++OOPR/uUdyqc48dewjPTUUTlctlKpZKTxHH3\nbiJMl84SzWarulCz2XT3ThXadUSK1u8hMkJR+nOBjJsF+LJhAVxuJEBlZo/aFWFnACoD6VDwAiiK\nxeIjtzVJg7npHDbi4YDu+fm5M10Sg1SOFItFP1Q4iZUJj2tPhReIzYfzvXTsEpn+bDZr29vbtr+/\nb69fv7bXr1/7tIgkmS6xxJWVFRdlUaarCb9Rme24umwFXHXfZwm65BE4dCnZBHDT6bSHtwDdy8tL\nD0slFdf/Wk2Z7sePH+0///lPpMlIx/Rw3dzc+DutE06KxaIDbrlc9sYOmkVmznQRii6VSnZ9fe1Z\nfhbO0D9lE2HJDb34IdOFrk/yEsLiYHacUGTLien2ej1rNBoe3yUOdnNz4wwB0KY1cHd31yqVigNv\nPp+fWdbVLMp0OZgI1TAQj9I4rSB49eqVHxLEG/m8SWLPTyXS4sILhGvYkFy5XM62t7ft9evX9v79\ne3v37l3k0EqS6fLz+vraJ7gCvmH2muePy06nWvjZw+HDmCri/kmK9cQZzx8vZXl52QG31Wq5KA9M\nl7JBwn3PiTf+XzRA9/T01P744w8H3bCqJWyEAn+0jR3QZU5aqVSKxPlnCrrqxmsmWpW84uojtbog\nTM5pwm7SAHtcHI7PjNPF5O8rqMBoeIk0RsyVVLXFON9Hy5TCzL/eJ423htMHkiobC6+w6UAv/n94\nH7X8jVhkUp1TZqPvmf45ZOH6e1l3eM/YF/pizqOCIO5dC6s/9OAPy/v+l1mu2cPz1Gm/KIV97v0Y\nhXNx7+G4e/flRsUubGELW9j/oKWeOgVTqdQXd0QOh8PY42Sx1snta1mn2WKts7KvZa1fyzrNnljr\n/7rrsbCFLWxh87RFeGFhC1vYwuZoC9Bd2MIWtrA52gJ0F7awhS1sjrYA3YUtbGELm6MtQHdhC1vY\nwuZoT1b2f1VlGIu1TmxfyzrNFmudlX0ta/1a1mk2eq2fbad6TklZ2JHU6XTs119/tV9//dV++eUX\n+/XXX204HHqfPVMY9vb2bG9vz/b3921vb89yuVyk24bOsc91fNB5cn5+HpFxOzk5sd9//91+//13\nn5FFC6h2b/Fd6TKi/Y9Bj/l83v72t7/Zt99+69fOzs6jLqFx1zqOXV5e2i+//BK5zs7OfNRRq9Wy\nu7s7+/vf/x65GPhXLBatUChYNpuN/fyk1mlmLmjOz3q9bh8+fLDffvvNPnz4YB8+fLDt7W37/vvv\n7fvvv7fvvvvO/vGPf0Q6FJ8S4xlnrbTBanvv4eGh/fTTT/bzzz/bzz//bD/99NMjUfOwlZc2ULQ3\nUC379ttvI3tgd3fXO+sQRhmnO2nUfY3r5Pz3v/9t//rXv+zHH3+0H3/80Q4ODiLyjmtra/b+/Xv7\n4Ycf7LvvvvP7yj37nJRnUntApVC5Pn78GMGAdrttP/zwg/3zn//0n+l0eqzPn3SddKOpxgZ7krW1\nWi1XENzd3bXd3V1XFNP3KFzHJPc00R5WNowq91xcXLgIOFqlKvvX7XZdDwH1p2lN23ZHqdmr3B0v\nqwrxqCoX611aWnJ1tHa7ba1W65ESWVITjdW0FXEeM6UmNRTkGo2GNRoNF4Q+Pz93PYh5jTfSe4YW\nMQMn0eEwi7Z/h9OWdejq1dWVLS0tuWg7Ij+vXr2yTCYTEW1K2sK2XmRHzR4mSvAunZ+f+94M9aln\nofccrhOxHd75ZrNpnU7HhwBcXV0lNpprXLu9vXW8YRIEM9AajYaL8CNYw8FNuzCaFxyoKtw+ybue\nOOiycRG84QFcXFy4fq4qJMEk8vm8y0FOa9orDRMIL9UAQD9BR89cXFyY2V8biRt/d3fngMvG1mGd\ns9BhCMfEzGOm1KR2dXVl5+fnVq1W7fj42E5PT63ZbDro8jxUdHsWFmovhEpRMBbVXUAyU3WWUWKD\nwd3f30dAt9Fo+LhxAHdWzUbhJAym0cLiAF0AhL2Jmp7Knc7KVMuXYQXMGbu4uPDR5egezGvyBfP6\nlCwp6DJMQZ+1itIj7oV8I9ekpCFRlMAl0jnxeup1u10HXABvfX3dBcZ7vd7UTBcgCgc5huDL5FZA\nP5VK+TSLpaWliGgLzIfxPgq8zETiwcxSoT9kul8S4Jo9MN1qtWr/zssAAAAY60lEQVSHh4f26dMn\nBzEU3HS+2yzWz73ift3f3/s+U6aroSuU7tBT5d8hDs++RowfUGOuHgp5HL5JW6jwBktUsf04pqsM\nfJwptUmsE6aLxwPTZXLISzBdRomxN6vVqg9LZUpEp9OJaBHjlaNUt7W1Zblczg9WCNAkNjOmC53X\n8AJjMpS9vXr1yra3t63T6cTK6U1iOqrl/v4+lulmMhnL5XJ+wVSWl5d9ekCv14torA6HQ2cS7Xbb\nms2mD6hcW1uL1WBNwkLmNkod66UN0D07O7ODgwM7OjqKhHDmGV5Qz0BBN5fLWbFY9AOAi32imrQc\nuDx/Zbo8e/YTY5FmBbrhdOMwVqvvGKCrDHweAKdMt91uW71efxRegMDMc5rx7e2tr6lWq9nR0VFs\neIED4/z83NbX1+3u7s49JMTLFXAnlSGdGHT1ZcLUtUBjtdVqOdgSLw3HWuvNV73dSd1ndSvR04Xh\nbG9vW6/Xc7F0rlQq5aLceoLpy2sWnZE1i8GKOuacuWdcDNFDZHmebCFuneHQRz2MGFuv8W4mWSD4\nbGYeTuI+J/EShtNDVldXPRG6vb1tV1dXj7wg1oGrjnaugl2c3Ock0n5PWSjPCYGBIY5yy8P1TfP+\nPGeteqm+cr1e9/ASs/HQVNbRNnxfXe80aw6T4cq+Ad2TkxOr1WrW6XQ8jKDeDGRANYvr9bp7SkjU\nThq/n4rpqtszHA6dwtdqNTs7O/PTBBarrg7XxsaGZbNZF2JWFpQE6JqZpdNpKxaLnhwhNqPj1jVx\nQpwMcXUGJr569cpnI4UzkhRIpjG8BUAV5sJ4oXq9bq1Wy0M1SXgGkxjegF4M9cOdvLq68rhiLpfz\neXqZTMZWV1ddPJ7YaZKgy+eZWWRihZl5iEN1kal0OD8/9/CSgpxOv0DQmrFN+XzepzckcegiQk7i\nh5go003ijPdKCYaOvZqFV0FsWac/1+t1d98/ffrkgwwA2vX1ddvZ2bGtrS0f7AnQTZOcUtND8v7+\nPjJAlcMAwCU8o2FHrpWVFR/O8OnTJ7u7u7NKpeJazONWXYQ2FdMNWZmC7vHxsR0dHVm1WvXJmjoh\nglOP0rGkQFcnUvDv0+m0lUolW1lZsUwmY6VS6dEprdNf2Ux3d3e+UXBPFXABXb5LEi+dzr8aDAYR\nd7HRaFitVvP7CejOOkEyap1sZtxaTUxcXFzYYDDwOFg2m7WdnR0rl8seCzX7yztSZprEwRV6S/x+\nM/M/h6PUiUNWq1VbXl52MGCP85lxoMv+XVtbS+T5X11deewYr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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# load images of the digits 0 through 5 and visualize several of them\n", "from sklearn.datasets import load_digits\n", "digits = load_digits(n_class=6)\n", "\n", "fig, ax = plt.subplots(8, 8, figsize=(6, 6))\n", "for i, axi in enumerate(ax.flat):\n", " axi.imshow(digits.images[i], cmap='binary')\n", " axi.set(xticks=[], yticks=[])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because each digit is defined by the hue of its 64 pixels, we can consider each digit to be a point lying in 64-dimensional space: each dimension represents the brightness of one pixel.\n", "But visualizing relationships in such high-dimensional spaces can be extremely difficult.\n", "One way to approach this is to use a *dimensionality reduction* technique such as manifold learning to reduce the dimensionality of the data while maintaining the relationships of interest.\n", "Dimensionality reduction is an example of unsupervised machine learning, and we will discuss it in more detail in [What Is Machine Learning?](05.01-What-Is-Machine-Learning.ipynb).\n", "\n", "Deferring the discussion of these details, let's take a look at a two-dimensional manifold learning projection of this digits data (see [In-Depth: Manifold Learning](05.10-Manifold-Learning.ipynb) for details):" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# project the digits into 2 dimensions using IsoMap\n", "from sklearn.manifold import Isomap\n", "iso = Isomap(n_components=2)\n", "projection = iso.fit_transform(digits.data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll use our discrete colormap to view the results, setting the ticks and clim to improve the aesthetics of the resulting colorbar:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YbNmU7EoUavuj0QjMRg2utOQvNcUcDOu+2MIDj/+bV9/9sM/9p8+ZzgiXAyUc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\n99lpXdlZn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the results\n", "plt.scatter(projection[:, 0], projection[:, 1], lw=0.1,\n", " c=digits.target, cmap=plt.cm.get_cmap('cubehelix', 6))\n", "plt.colorbar(ticks=range(6), label='digit value')\n", "plt.clim(-0.5, 5.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The projection also gives us some interesting insights on the relationships within the dataset: for example, the ranges of 5 and 3 nearly overlap in this projection, indicating that some hand written fives and threes are difficult to distinguish, and therefore more likely to be confused by an automated classification algorithm.\n", "Other values, like 0 and 1, are more distantly separated, and therefore much less likely to be confused.\n", "This observation agrees with our intuition, because 5 and 3 look much more similar than do 0 and 1.\n", "\n", "We'll return to manifold learning and to digit classification in [Chapter 5](05.00-Machine-Learning.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "< [Customizing Plot Legends](04.06-Customizing-Legends.ipynb) | [Contents](Index.ipynb) | [Multiple Subplots](04.08-Multiple-Subplots.ipynb) >" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.4.3" } }, "nbformat": 4, "nbformat_minor": 0 }