{ "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": {}, "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": {}, "outputs": [ { "data": { "image/png": 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FZ5/owSNvdCmFPHQ9YDpvqIU+FVL+kIF8e0O5wmoEbN6azEGdjVYTzySAr9GiszZ5h50D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"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": {}, "outputs": [ { "data": { "image/png": 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4PPiZWGY8T2UOLDwQ1SrJy9uOSCoyqeY/tLysYKK8zhsD5/8nWNWLltflOzMI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\ngNVjSgozoUfsz+4WVUBkJcIhIqepg65SLLsAn9ta9zsi2BU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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": {}, "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": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAABCFJREFUeJzt22FyqzYUBtALZDnZZLutbK2g/gjp87iADTHXCM6ZYURk\nbCNiPrAsNaWUACBH++4dALgSoQuQSOgCJBK6AImELkCij6UHm6YxtAFgg1JKM1W/GLrf/o6Ibtz0\nN+UrXuMj/tyc37Wne3L5WLHtnq+Rti9lLPuIbojo+mi7Ibq7sv3oo+uGaNs+unaINvroYog2huii\nnyz/bDNXbnnu/HN+89xD7eswRDsM0fV9tP0QXR/Rfv9rIvqIZiyjj4jhZr22+p3fs4z1/c3yTx/R\nDzfluPnacstzbp/7V8y7VvfC5HUHIM+1QldnCZzGHvdQGfdl1wpdgDerNHRP0E9wgibMO17j5vfo\nePtanTcdwp8vrq98+4wvw5WG7kbOL+DNKg3djdejI/XpHmlfXu54jZvfo+Pta3XedAh/7qFe+fb6\ndF/NnS7wZtcKXYA3E7q18+2Yi9rjo++HtFc7Y0DpMoGqXCt0zxhQZ7yQwBNMjqjBGQPqjBcSOLFK\nQ/cESXOCJsw7XuNMjtiRyRGrVBq6AHWqNHQ3Xo+OdFNzxq6O/xyvcSZH7MjkiFUqDV2AOgldoErG\n6QLw0LVCV/cdnIZxujU40g9pwCVVGronSM8TNGHe8RpnnO6OjNNdpdLQ3Uj3AvBmlYaucbrHdrzG\nGae7I+N0V6k0dAHqdK3QdVMDvNm1QvdI3QvAr5gcUQN3usCbXSt0gdMwOaIGuheAN6s0dE+Qnido\nwrzjNc7kiB2ZHLFKpaELUKdKQ/cEv4idoAnzjtc4kyN2ZHLEuvcoZX6Xm6bxiQTYoJQymeGLoQvA\na1XavQBQJ6ELkEjoAiQSugCJhC5AIqELkEjoAiQSugCJhC5AIqELkEjoAiQSugCJhC5AIqELkEjo\nAiQSugCJhC5AIqELkEjoAiQSugCJhC5AIqELkEjoAiQSugCJhC5Aoo+lB5umKVk7AnAmpZRmqn4x\ndCMiPj8/o2ma/y1t2/66futrPOtn26nyfomIp/Znav22fHb9dpmrf/Uy9T5TdTMfoIfH+5ltbv8P\na7e5r7v9e836fTn32KPPz1Ldo/VSyuwyDEMMw/BwfW3dbfmobml9qe7RMtX227qf9aXyfv2nvc8u\nt8dor+2+vr5iju4FgERCFyCR0AVIJHRHa/qKAefMVkIXIJHQHT37yzvwzTmzjdAFSCR0ARIJXYBE\nQhcgkdAFSCR0ARIJ3ZGB3rCOc2YboQuQSOiODPSGdZwz2whdgERCFyCR0AVIJHQBEgldgERCd2TM\nIazjnNlG6AIkErojYw5hHefMNkIXIJHQBUgkdAESCV2AREIXIJHQBUgkdEcGesM6zplthC5AIqE7\nMtAb1nHObNMsHbimaRxVgA1KKZP9L4uhC8Br6V4ASCR0ARIJXYBEQhcgkdAFSPQvKyOo7kCy5NEA\nAAAASUVORK5CYII=\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": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n", "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": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\npgB1LC8AFBK6AIWELkAhoQtQSOgCFPofogzC0bvZDuIAAAAASUVORK5CYII=\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": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAV0AAABsCAYAAADJ2WELAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nARIJXYBEQhcgkdAFSPQ/ynRYFMQzE9cAAAAASUVORK5CYII=\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": {}, "outputs": [ { "data": { "image/png": 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ADYnoSQCfB3AOgB8T0YcBPAbgnXrblwD4tpTyjVLKmIiOBfBrABzAJVLK+4rO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\n9FdcPHtMvbGihaBuIFa3HpMvjpozCkdLNpQop/pzVbPzMbc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TGJLNqJolWHdyvrUV4Kv6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ZdJMV1987x0+DQX6x6MoVrdqg71rf0/gS8ZEiUkeiJQE3XonggRVyRvd+urzEPRrZMr271jAiUF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"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": {}, "outputs": [ { "data": { "image/png": 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aM1lFm3flsIEcXRaogwhVbeaC4U2VPjxf/54OrikgcvviepmIKlRumiTCqrFX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\nMRJom3i4Q/sUNYFNWuOGPfsrc/Y23n1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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": {}, "outputs": [ { "data": { "image/png": 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r3mKj9n66wmyuNmI81lUSDAY1/c22Owd0qaxiPnd2djTTwpbpLwq6Nu/XCvyT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Gzaa29vTwqFgmQyGYlGowpkq7yvLkZYeiXvi8UIJkGfnJxIPp+XRCIh4XB44XX66umGQiHt9IFG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\nFxXULEJbaFpPVWx014lXCjeX58cznJeGAlxIM5FG4bmydyzHeFNmLxCKQ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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": {}, "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": {}, "outputs": [ { "data": { "image/png": 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cDpRIGO3efCsS6hqbOPmSqzj36p9S2U/EpBAgpUIs6CcWChDqbOcHN/+GVRs2\nEQ36kd1VgW79weVsef1pFl+wCACj0Tik16fyxVGV9yFi586dzJgxgxkzZjBhwgSWL99/OkmAqqoq\n1qxZQ3gf39sDUVlZyV//+ldeeOEFBuOdI6Vk+/btVFdXH9R5AJ5//nnOOOMMbrvtNs4//3x+//vf\nH/Qx8rKttLobkVImyoi1NNeTnTOCTFcuBYUjaW6uAyFwufJxOF0IISgqHktV5S5sNmdi5pedPQKt\nTpN03ZFwkBRL8ktlU3MbTY21NDfVdfcVGI1xpWcy26lrjPs2x/YpUKzIgf9FNmzaw+46Ax5fOuu3\n+aip27+iHywffLyK835yG7/75zMsvv1+7v/HE336ZLtcvPDg77jmgrPQdXvhKtEwWpOFzojCJ1t2\n8auH/tZn3ImzZlKSaUdrsiCEBo1WR5uiRZhT0JksGGIh7r3++1x16YWqsh7mfCmVd11dHb/61a+4\n+eab2b27/yrh+yMcDrN7926uuOIKpk2bxllnncWePXuS+tx9991s374dgIaGBk466SRycnJYtWpV\nv8d8/PHHGTt2LLNnz+akk04a9Gx99+7dnHzyyfzgBz/gvPPO4/rrr99vf0VRuOyyyxg3bhwlJSXc\nddddgzrPXp5//vmkAKXPM/tOd1hIsUBF+ToigXpqqnYSDPiSlEVKih2pKGi0yV/RNEc6UkkOfNHr\njTQ2VONuaaCpsYZYLEaLp+cBuG17NQEll6zsfDIycyjfuYlIeN9qwQqRSAS/r5VoPIsV3o4WIqEO\ndu/pvyp8Y4uSWFQ1W9KorR+aOpUvvrusl/eIhv++8W6//Ubk5fLrn1zLH2+6jpKsdMzGZBt0fZO7\nzxghRKKgs5QK2n0Ci8KK5LLzzlIV91HAl87m3dXVxZlnnsmmTZsAePrpp/nkk0/Izs4+wMh4ncUL\nL7yQ115Lriu6ceNGurq6eP/99xNtgX6izBobG/nqV7+Kx+NJapdScuONNxIMxnM9r1q1irPPPpsP\nP/yw33+iN998k9dee43c3Fyi0WjSDPof//gH9957b1I5rt689NJLPPnkk0A8d8ett97KhRdeSFFR\n0QGvHyAjI2O/2wdiT0U9VY0G0tJLSUuHupqdmDQBIkpKoqQZxMuYaXV6vN52nOnZaLVaWt2NmMwW\nZKSRYLALo9FKQ30VdrsTvcFIWloGHncT6RnZKLEYq9ftwuvT4PX6yMiK27Q1Gg32tAx8Pi/eDg+2\nVAchfzOP47hbAAAgAElEQVQTJ2ewZkMlGdkTcLc0EAj4MBq0pNpHUtUUpcm9gxNm97gA+nw+PK1N\nCK0VizVuExcMTUxCWko886ASjSBjUfZUtvPL+/7E9d+9mAyns0//RWd8hUVnfIUnX3yVGx74O8T9\nnTlldjwsPxgM8tr7H4GMB+Vkpdn4bFtnvIzbPt8Tg061ZR8tfOmU9/r16xOKG6CiooKVK1cmuQAO\nxIMPPthHce/l008/xev1kpoan9V8//vf59lnnyUWS/aCbGtrY926ddTV1XH88ceTmZkZD9/uDkne\ny/Lly1m6dCkLFy5Man/nnXc4++yz46HLwIwZM5L2WyyW/QaGbNy4MWk7FosNmG2uP2699VbKyspY\nsWIF48aN45577hn0WIDW9hBarYXmpjqEEAiNgVRHLnnpnZTt2orG4EJKBXtaOg11ldhsaVTs3kYk\nEiYU8pORnk5Bfjqp1g52lW8mI3M67e1uOr3teNs9CI2GjHQHobCPmKYQg1mD4u07c06xGMlx+klP\n15CTnY/RaKQr4MZkgYzMHFqa68l0xYNZdDod7Z0Wurq6SElJobGplU3bOykonkJ7m5twJITJEGPS\n5KHJ1f3D71zE355+EakzoDWaiWm0/OW511i+YQsvPfz7fpM+RSIR5s+ZwW9+4Oevz7xMKBwmGArx\n9vsfct0d99PRXcDn13/8G81dAbQWK9LXGX9AKAog0BLjX/f9ZkiuQeXQ86VT3nl5eZhMpsQsV6vV\nkp+f32/ftrY2fvazn7Ft2zaOO+64/eYzCQQCTJkyhf/9739MnTqVBQsWcN555/HMM8/06bv3WCUl\nJbzzzjuUlpZy4YUX8ve//z2pX+8Zen19Pddffz3Lli1LKG6I27uLi4upqKgAwG634/V6SUvrST+q\nKApPPvkkH3zwAU89lZyy84ILLmDChAkDXte+ZGdn89577xEOhwec3e8Po05S3lhNXn68EEJjQzVC\no0EKAwsXTOGTtY1YU/NpaW7A7sjA6XSR6cpl49r3ycopQqc3EYjYaG/0g8bKrp0bGT9xNkIIPK2N\n2M1eJk9KY9ceBdltr7alplFdtROrNZVoNILFasNu1TFjenIld5O+x9VPSkkoGMDrbUNKiclkTCyK\n7qpox2SJp+pJc2TQ2VbFSXNKE/7gX5TMdCdmi4VAt/xavYFYKEBZdQOnXPR9XvzzfRQXFiT6r1y3\ngSuX3ENdYxMaJUoMAULDn558nj8+/l+Mjp63o2Z/hLCvE701FZ01lVgogIxE0FlTeOI3v+DUk04c\nkms4WrG/9viRFmHQHDM2bykl7777Lq+88kqfWWxvSktL+ctf/kJxcTH5+fncd999zJo1q9++N9xw\nA48++igrV67kgQceoKqqar8yVFZWcvvtt+Pz+XjwwQcZOXIko0ePTupjNpsTD4E9e/Zw8cUXoygK\nDz/8cNIsesKECZx6ao+b/HXXXcfzzz+P251sx8zPz08o7r3H3PvAUBSF7du3s3jxYi6//HIef/zx\nJMVfXFzMU0899bnsm59HcQPY7UZycosS29k5I2jzNJKRbsVutzH/hHxyHW0E/Y04nXGXN2+Hh9Ix\n08nNL8WVlUebp4VUezo1dW3k5pcm5HemZ2N3pJPutGO1iMRbj9lsxWyUhEP+eIpZTy0TRvedJU+d\nmIMSqsff2YhJ56WtrYlMVy6Zrlz8XY2YzXEPmX2jok0m00ErbkVReOmNt3jl7aV0ePsmEB9bUtin\nTUpJTWsHZyz+Ie0dPWN+/fA/qW9qQWh0CLMNvdWO3mJDq9eDJnkxV0qJ1mBG6S5+IYQGjcFAXmY6\n0yaqMQtHE8fEzFtKydVXX81f/vIXAObOncubb75JSkr/VUsuv/xyLr88OWVle3s7r732GpMnT2by\n5MkAbN26NanPxx9/fEBZ/H4/3/zmN3n77bf73Z+SkpJkD1+9ejVWq5WCggJmzJjB17/+ddLS0rjw\nwgvJzOxRMDt37uxzrFGjRnHaaafx2WefJbVrNBqCwSDnnXcer7/++oCylpSUHHZ/XYvZRDgcwGSK\nx5RLKdGLDnKy4/fcbDYzcmQBnf4ond1riuFwKGHCAHCmZ9HUUE1qmpNIOLkmpEYofLJ6B21eDcFg\nNVoRJiXFhN7oINMRfxhEIiE6uwI4HMnmh9TUFObPjT9st2yrxuOL25eFEKS7RtPU1EJ2tou8LBN7\n6joxmmyEQj7ysg4uWMXt8XDqpVfR4PUjIxFGuJy89difyEzvsWf/6prFfO+Xd9PmCxCLhOO5RUJ+\nNEYLrZ1+Pli5mnPPOA2ATn8g7gOIRPSqASp0BjTRCErQjzCYEELEU7qaLCjhILFgALNBx0kzp/Cr\na68gK/Pg1i9UjizHxMy7vLw8obgBVqxYwS233MIHH3yA2+3uM1vdl40bN5Kbm8ull17KlClTuPHG\nGwGYM2dOUr8DKTqdTkdtbe2AihvAZusbuhwMBtm1axdPP/00v/71r3niiSf45JNPkvrMnTu3z7ja\n2lqWLl2a1Jadnc3FF1/M448/vl/FPXr06M/l5vdFycxMx9Ncid/fRTQaob6ugjRH38XicaNzCHbV\nEImECfg7ktYOOtrdCI0Gb7uHTm877e1uIpEwlXu2osQihGUONnsOmVnF6Aw2ivJTSXP0BK7o9UZ8\n/n29TfYlefExFotgMMSVdGlJLhNH6UlP8TCuWDB+zIj+DjAgDz/xDI2dwe5Zr5GqJjfPv9Hzd2zv\n6MBqMvDyQ79lweTRRDq9CJ0ebeKBp2C19Mz0z184Py6vEN326+4riIYRQoPWbCXm60CJhNGZrZh0\nWn707UVsePGfVH30Gk/94U7GjOyp56lydHBMKG+dTtfn1f+hhx5iwYIFZGZmkpmZycSJE2lu7t8P\n96qrrkqaDd99992cffbZXHPNNdx4442cffbZ3HnnnVxySf+1RNPS0li0aBHRaLTPbH1fgsEgxx9/\n/H77bNiwgW9+85usWLEi0fbAAw/gciVHzgUCgT4PlLPOOgur1YrP19dtTQjBokWLqK+vp6ysjOnT\nhz5d6WBwuZzEYlG6OtvJzStGq+37NTSZTHxl/lgmlEQ556vjMGka8bY34G6qQC98dHbUMm7CDEpH\nTaTL24G7pYEclxE0xqSAHY3Ogj3VRNDf87cP+j1kZ8XXBDo6OtlVXkNzS7IH0OiR8YfH3uAhh7UT\np7Mn8CcnO4MJ40aQnzdwNONA+IJ9Hxx7XSJXbdjESZdczcKrb+bym3/Ht848laz8fJSgn2jATyzo\n43vnfJWvzOuxTR8/fTJTRxVj0mlR/B1E/F1EfF6UWJRZ40ohFkVncyClQoZJy6t/+h23/vAHFOTn\nq+mMj2KOCbNJcXExN998M3fcMXC6lK1bt3LZZZfx1ltv9dnX1NTUp+2VV17B5/Px9ttvJxSkoiiU\nlJRQXl7OyJEj2bx5M+FwmCuvvJJHH310ULLW19dzySWXcNZZZ/HEE09QVlY2YN/HHnssMeM2mUyM\nGzcu6QGUkZHBvffey8UXX0xTUxMTJ05MvDWcd955PPLIIwn/86uvvpq77757QFPS4aS0MJUdlRFs\ntkyCfg/jSvtPpCSEILs71Pv42cmZ+l56swyLJX4t+SNKaW6qIzszhbQ0M60VXRhN8X06usjMzGfW\nZCM7dzcjhIbRY2040lJpaHSzeYcPkyWdyvpOCtprGTsqvnhtMBg49aTRVNc0YDIayMkZutD38796\nGk+/vYxQLF6zM8eRygVfi5dyvfvv/6apI+79U9HUynurNvL6I3ezcsMm7CkWZk6aQF5uT1raXbv3\nsOjaX8T9wqVEY7QgoxF0lrhJqKKhBUWJIaNRhBC4AxHsNuuQXYvKkeOYUN4Av/3tbzn//PN58skn\nB3Rf6y8gx+fzDZjW9b333mPevHm89NJLuFwuNBoN11xzTb9916xZk7RdUlLSJ3BnL/X19dx99938\n6Ec/4rvf/S5PP/10v/1WrkxOcX7zzTezYcMGvF4vZrOZxx57jAULFiSiJUePHp1YOCssLOSjjz7i\nrbfewul0cs455wybwIvCEVmk2jpo9bSROToN+0HWO9y+s4boPpGQAV8rkWgqsaigNF9Hk7sFrUZh\nxuy4ScPhSGXOzOTz7Kn2YrLEHw5Gs43qukbG9io1qdVqKS7q3xMJ4m9Rq9ZV0xUQGA2SaROzSHfa\nDyj/zCkTeftv9/Hc629jNZu4+rKLEouhwXAkqW8gGGJUSRGjSooIh8N9/oY/+d39RDQGtPFYIWJB\nP5J44QWN3oAr3UF7pOetQkqFSEStAnUscEy9M02ePJnbbruNU045pd/9p512Wp+2hx9+eL9+zitX\nruT+++9PbAeDQf7zn/8wadIkjEYjRUVFrF+/nquvvpolS5Ywb948LrvsMj755JMBPTLefPNNrr32\nWvR6PV/72tcGPLfVGp8hhUIhPvroI7xeL8uXL+ell15iy5YtfP3r8eLUaWlpTJ48uY/HQ15eHosX\nL+bcc88dFoo7GAzy2eYKNm6pAiEYWVpw0IobYFdVAEVRiHRHQjY312C2OOiKFLGhLMKmrbXMnJrP\n7BmlWK2WwR/4IGNsNm6uRRhysdlzMJhz+Wzr4MPjx40q5Vc/upobrvxeQnEDfOecM9B3m1BSTAYu\nPSueZ/vevz3OqIXfYtTp5/Onx/8LwJ+ffIaVm7YnX4KUaPVG8tJT+eqcqfz9jluYOaYose+S009m\nZMmRKZagMrQMWSWdQ8HnraQTDodZu3YtWq2W+++/n/LyclJTUxkxYgTz5s1j8eLFCCG4/fbbue22\n2w54vKuvvpqHH36YQCDA/PnzWb06uXZETk4O9fX1fcbdeuutCVOOTqcjJSWF9vb2xP4zzjiDuro6\nNm/e3GesyWTi0Ucf5e233+aJJ5JzWxyN1XtisRjvLy9PJIcK+Jo5frqL1NSDM+N4PB288X45ZrON\nzs4ObDY7gUAHIwp73NxamusZVWhg8sSi/R6rrr6FreVBTGYHwWAXBVkRUixGKmvi1VSKCmwU5A9s\n016+ag9S07Pf39nIGQu+uHll7Wdb2FFRydRxY5gwZhRrNm7iGz/8ZeLZohXw1iN38c0f3Upbhxet\nqecBFfF5ycx08dZf76G4u5yZz+dn2crVmM0mTjlhzrB4kB8KhqKSzsZf/XFQfafeft0xXUnniGEw\nGDjhhBMAeOaZZ7j55pu58847AXjiiScIBAJcd911PPzww0nj9Ho9U6dOTTKBCCG45JJL8Hg8nHvu\nuX0UN8Rzl0D8ofHUU0/h9/tZtGgRv/3tb7ngggsoLy9n7ty5fYJh+rO/Q9zV78c//jGBQKCP4gb4\nwQ9+wEUXXXRU5VOurmnAYOlx9zNbXVTXtTLxIJX3itU1jCiM279tqQ7aPQ2k9mPDjQ0itXZebiZW\ni5emZg/2ERYMBjNrN3diMscDcMr2tGO1duB09G8KsVsF7s5oIqI1xTo0+bxnTpnIzCkTE9vutvak\nl4KYhNb2DiBeVDgW9IPQkGbWc8L8uVx54bkJxQ1gtVr42mnzh0Q2leHDMam896V3zhGARx55hJyc\nHCyW5FfqW2+9lblz5/KNb3wjEehz5ZVX8u9//5u//OUvA2bs0+l0KIrCBRdcwEsvvQTAH//4R5Yt\nW8akSZOYNGkSAAsXLuwT4dgfiqJw3333ceWV/SfVDwQC+P1+7PYD21eHCxZL3L/baIzfc0VRMOgP\nzmq3ddtuNLoeM4vJZCY7U48gRpunmWAo7n4XDvlITek7Y95bKLg3aWmppKXFj7mzvAahMSdC901m\nCy3ugZX35InFbN5WSadPYtArTJtU2m+/L8px0ybjshhoaPMiNBqmjy1l9tTJXPftRdz52DMIk4Wx\nBVk8+8AdZLmGJkRfZfjzpVDepaWlSdn8tm/fzre+9a3EjNrr9XLiiSdy7bXX4nQ6ef/991m2bBml\npaVotVoWLVq03+PPmDGDHTt2JBQ3wI4dO3j99ddZvHhxou3nP/85dXV1g6p4HQ6HMRqN/e4bN27c\nUaW4AbJcGbiaKqhp8qHR6rGZuhhVenC1Htu7wOfzJirJRyJhXKkGalsE3s52RhT2RLPWNjRQ2u26\nHAgE+Hh1Ff6QAa0myqSxaYzoxxySajPj3lyfCN1vb3NzoPfiSeOLDuoaPg+/+dM/aPKF0BpNGDTw\n88Xfxmq18MPvfJt5M6fS7PYwZ9qUfnOeqBy7fCmU9z333IPf72fp0qVJ/s/PPfccjz76KJMmTWL8\n+J5K33PmzCEzM5N33313v658ewkGgzQ0NKDT6ZLyn/zoRz9izJgxzJ07l4ceeogbbrhhv/lRenPW\nWWfxjW98g3vvvTep3Waz8d///ndQxxhuTJlUzLgxYSKRCFbrwF4cA9Ha6kGrtdHcVEssGqW9rZGO\nzBQysiYSCCQnAIv0qie5pawegyUfQ/eL1rad9f0q72gkQnZOT1h6miODUNjTp9/hRErJqx99mrBT\nhxX4ZMNmTp0bjxWYNnHweWlUhh9CiEJglJTyXSGEGdBJKQdVwv6Y8jYZiNzcXP73v//1WeQLhUL8\n+Mc/ZuzYseh0Oh555BEKCwvJy8tj+vTpXHnllfzhD39ISvLUH263m29+85t9FHNXVxcLFy4kGAxy\nyy23DEpxX3LJJTz66KM8++yznHTSSdxxxx04nU4cDgeLFy9m06ZNTJky5eBvwjDBYDAkvGgOFqFL\nxZWVjysrn5y8IuwOF7a0kXham1GUWOL+KopCONSzMLyvW2FM6f9rn5pqJRTq+b+J12n8XKIOmura\nWtZ+tjmRKG1fhBCk2/fxg1eibNuxc1CFN1SGL0KIK4Dngb92N+UDLw08Yp/xw/kL8Hm9TQZib1GE\n8vLypPb6+noaGxuZOXNmopp2b5xOJ5dffjkrVqygra2tz/i0tLQkL5J9WbhwIR9++CGhUP8h2bNm\nzUKj0XD22Wdz44039vEGUBSlO4nQseklMFheW7qL1LSeABV3SwMZmTnxwsPBAG2eZiyWFIwmM0X5\nRmZOjbvE7amop7xWg8mUgpQSTayOmVMLaWh043SkkpbWY4Iq21lDeVUA0OKwRThxzoErzX9e/vPy\n69z40KOEIjGmjyzkqftux+mITxQqqmv48Z1/YHdNPUVZGdS2eHB3dDIi00F5YytSaFh08hx+ff2V\n/PP5lwmGIlxw5mmMH3146mgOR460t4kQwgR8BBiJWzWel1IO6M4mhNgIzAZWSSmndbdtllJOGpS8\nXyblDbBt2zZOOukkWltbATjzzDN57bXXeOGFF/jWt77V75ji4uJEwM22bdtYsGBBv1GZ++Oaa65J\neLcYDIZEqbM5c+awdOnSfnOeqCSzbuNu2v0O9HoDvk43wVCE9Iy9leNb0Wr1WFNSCYeDlOSGKSnu\n8W6prG7C7Qlg0ElystJYv7UNs9VFMNDByAINJcU9DwUpZVzJH8LQcSklk75+ES2dPWkZbrr8PH60\n+FIALv7xLby3bkti3w8WncGFX13AKVf8lFCnFyEESixCSVEhdW1xU6Ar1cprf/49hQUHb5I6FhgG\nylsAVilllxBCD6wArpdSfjrA+VZJKecIITZIKacJIXTAeinl5MHI8KUwm/Rm/PjxvPfee9x8883c\nfffdPPvsswgheOONNwYcM2fOHL73ve9x//33M3bsWNauXcszzzzDuHGDS6Gp0+m4/fbbee+993ju\nueeorKzk3//+N5deeikFBQU88MADA87KVXqYMbWUktwQGTYPx01zkpsRpd1TRaCrjoKsCDZLABlp\nJsfpS1LcAEUjspg5tYjJE4vZVeHBbI3bvE1mO+VVyUFaQojDkvMjtE+kY7DXdl1za9K+BreHSCRG\nqNOLzmRGn2JHa7RQ3dQaz8mtxGj2+vhk/SYGwu/3s2L1WraXH3zpP5UDI+Ps/TLpu3/2N/v8UAhx\nM2AWQnwFeA54dbDnO+QLlkKISqATiAFRKeVMIYQTeAYoAiqB86WUh63E+pQpU5Lsxh9++CGPPfbY\ngP17h6+3tbVx7bXXcvrpp/PCCy/0u6C5ePFinnvuObxeLxqNhnvvvRen08mCBQsSfbq6uvj3v/8N\nxOtCtrS08Mc/Du6p/2WmuCg+Q969px5vIJU0p52Ar4WcbDtTMvuWCNtLbX0LDY1daLWSYDiCLsmR\n5/DPYYQQXHne17nn3y+CEBRkOLjwzJ4I4FNmTaGsuj5uspGSBbOnMWHcGAwaUERcXqnE0OgMaHQ6\nYqEgQhMlFotw/z+e4JONWwmHAlTWNYJWx3fPWsibH6/lsz016DWCJVdewvcvOu+wX/exjhBCC6wD\nRgIPSyn7L1ob50ZgMbAZuBJ4A/jHoM91qM0m3cp7ppTS3avt94BHSnmXEOJGwCGl/EU/Y4fcbAJx\nBWyz2XjllVe45ZZbKC8vH7QXiM1mo7OzE4PBwFVXXUV5eTllZWUUFxdz3HHHMX36dBYtWoSiKGzb\ntg273U5BQbzqSTQa5fe//z3PPfccu3fvprOzZ3GsuLiY3bt3f+nt2oPlnQ/LMVl6UslqZRMnzu7f\nz7q+wc3mXUHM5rg9uc29C7M1E5M5jXA4iMvedcBozEPFR6vW0OxuY+6sqWT3yhqpKAr/ePoF9tQ1\nMGfSOM5eeCrX/OpOXlj2KVIqKOEQQqNBa+wJrQ91eDhr/gm8tb4s8T2KBf1oTRZkKIDo1TfVpGfH\nW88eU1kFj7TZZJ9jpQH/A66TUm4ZqN8X4Ui5Cp4NzO/+/C9gGdBHeQ81Pp+Piy66iFdfHfSbSR/2\nKtxwOMyDDz7IAw880G9dS41Gw8SJE5PabrnllgFzaFdUVHDZZZfxxBNPqAp8MOzzf7O//9mG5i7M\n5p5CAzpDOqMLBT6/hxSrgcIRRYdKygNy0pz+qzhpNBr+7+KeNZiX336PFz5chdBoEGhAL4kG/fEa\nl6EASiyGRm/g1Y8+RWe2InTdbjLds3QF6J08OBaLqd4qB8Gayl2srdw16P5SynYhxAfAGUC/ylsI\nUUE/ZhUp5aCSqx+Ox64E3hVCrBNC/F93W5aUsqH7cyOQdRjk4OGHHx6U4p40aRLnndfzSpmTkzNg\n31/+8peDPn/v/Nz98eSTTw6qWo8K5Lp0eNyNtDTX09pSQ0HuwO6Heq1MUlRKLEiXL4K7LUJNQxdt\n7X3LkA03/MFQ0kNdaHWYRIxYOIhUYugtKfGfFDvRQK9c7jLuPVXgyqQ4q7syEHDNBecc9ipKRzOz\nikZx1fwzEz/9IYTI7J5x0+2z/RVge7+d48wEZnX/zAMeAp4crEyHY+Y9V0pZJ4RwAUuFEEkXI6WU\nQogBpwBLlixJfJ4/fz7z58//3IL0Lui7Py644AJuuukmVqxYgVarxWKxMGPGjH5nKgMtNC5dupSq\nqipOPvlkRo2K5xkdPXp0nwo5+3IsvcYeSixmPSazFo3WQGtLPZ9t9bCnqoOZU/Kw7ZPrZOL4QpZ/\nsoN2nx6NRsFuDdLY5sRgMKEAqzfUcfopwzs68SvzjmPssy+zvaYRAMXfidDoifp96Mw91yuEACGY\nVJRLSX4umWl2jCYjl51zJqk2GyvXbSTT6WD29KM3VmAvy5YtG1S08mEkB/hXt91bAzwrpez7Wt6N\nlLJ1n6Y/CCHWAb8azMkOq6ugEGIJ0AVcAcyXUjYIIXKAZVLKPrHSQ23zXrt2LSeffHJSgWIhBAaD\nIaGEzzzzTO644w7y8/PJyOh51f7GN77Rr3lk5syZfXJ533XXXdx0001AvGblTTfdxA033EBnZydX\nX3017777LqFQKPHqutdt8Dvf+Q7//Oc/VbPJIHh/eTk6UzZNjTVkZfdUUhfRBuYdP6rfMYqioNFo\nWLuxAn+kJwdIR4ebhfNyBkxHMFxwezxccv2NrNqyA63BSCwchJiC1mROZBZUlBgFqWbWvvbMl24i\nMJxs3oM8X+9SVhriM/GrpJSDerIe0pm3EMIKaKSUnd2fFwK3A68AlwN3df9++VDKsZeZM2eycuVK\nfvrTn7JmzRocDgcPPfQQ48ePZ/ny5TidTpYsWcK0adP2yk9+fj4XXXQRkyZN6qO8rVZrv0/+3vU0\nu7q6uOWWW/j44495+eWXefbZZxP7pJQoisLy5cvRarXMnTtXVdwHiUaT/Oofjg58//YqM4tZizfQ\nk6RKS+iIKe71m7ewetM2Ro7I57R5J+y3r8NuZ3NlHQZbfOE1Fg4jDDpisQiEAkhFIc2oZc2rL3/p\nFPdRyn29Pkfp9rwb7OBDbTbJAv7XrZB0wH+klG8JIdYAzwohFgNVHITAX5TJkyfzzjvv9GkvKSnh\nZz/7GevXr0+0SSmpqalJLDL2jqQcP34877zzTr+h3v21vfHGG6xater/2Tvz+Ljqcv+/v2f2PZN9\nX7ukbVpKtVD24oIoCK4s3osLqPxQ4brhghcvoKjoFcVdEbmK4gKKiKyylB1paWmatknTJM0y2ZOZ\nzL6cM9/fH5M5zXRN15R23q9XXsk5c5bvmck85znP93k+D2ecsbP3oBACg8FwSKGgE5WGGgedfVNo\nmoqUMut14ZpF74XFC2uJbtiOPyQwiDRvWjY3SnxPPv8SV930v8RTGgK46er/4P/9R+ar0Dvg48Y7\nfsnAyDjnvGkZN177SUZGRlClAAGpaBij3YFiMJJWU6ixCAaLlft+9v18LPsNgpRyz11jZskRNd5S\nym5gt0eA6VjPW4/kuQ+G/U0WBgIBVq1axa9+9SuWLl1KKpXC7/fj9Xpztrvtttu4/PLLczr0CCFw\nu4/tuOobiYb6ClxOP+OTKuPjvQijA5slzfKl+56o7x8Yo707QFoTFBfCm07ac4jlaHD/E2syvSfJ\nzOr/5bFndOP9xdvu4LmNHQBs6u7nlfWtbOwZQCbjqFoaoSgohszXVzGaMJitlDhtNO+hC/zRqBjN\nM3uEEJ/f1+tSytv39XqW/Kc5g9mELFpbW1m8eDF/+9vfKCwspLCwEJPJxPXXX69PaF544YX09vZy\nyXkoR0cAACAASURBVCWX6Me94YYbdF3vPIeH4mIvzQvqOPP0Fs44pYEVJzXt00ClUik2dQRJJC1E\n4+APF9DZNXAUR5yLa5cWbS6Hjb6BASYn/Wzr9enrZSrBa90DqBK0tEQYDHoWSRYtGWcioXHlV25B\n0zI3hHUbN/GZG7/Jwnd8gMa3vJsv3PwdYrEYeeYc135+ZsUJp22yLy655BLuu+++fW6zbNkyNmzY\nQGFhIVNTUzmvVVdX09/fry9LKenq6sJkMlFXV7frofIcZYaGR3ju32N4C0uxWGwMDe6gqdbGyhVz\nI+Y0MDjEx776TTZ29VFdXEBTZSnPtnZgNRlpqihmy0CmMbaWiGXyuZNxFJMFNRJEsVgzHeGNJtKp\nBEhQjEaE0cQzd93Oy+s38d8/+jXSaCSdTKCYLQjFQKnTwuqVK1i+aD5XXvq+42qO5Y02YXmonBB6\n3rNl9erVezTe5513Ht3d3VRXV/PDH/6QVCq1m+EGGBgY4LHHHuP88zNNY4UQzJt3/Km8xeNxRkZG\nMBqNaJpGcXHxbl2JjkUcdhsOhwvrdGZGZVUD0UjPnI2nurKCx+/+Mf0+H69saOPa7/0coRhIaJL2\nviFOXVhPUk3zrnNO4w+PPENX/yBaMo7R4c4YKqMZqamkU0ksniIAZCJKgdvNL+//B5qUKIAwGBDT\nE7uj4QR/fOxp/vz0S/iDIb74yY/O2fWf6EyrEF4FLAH07uFSyitns38+bDKDa665hltuuYWzzz6b\nN7/5zVx11VWsX7+exx9/nM7OTi644AJWrly5W5f2mfT07NkYHMtPOAfK6OiornteW1vL+Pj4/nc6\nBlBVDZM5N6ukwDu3ao6KolBXU0MildK94LSqkkqp/LtzgPXdPnqHRrn/jlu56dMfpdhm0rcTQqAY\nTRhnNCBWFIUPXvdVJvxTKCYTWiIOe+gHJITg2XV7F7HKc1S4BygH3gE8S0bPe1aNGCBvvHMQQnDj\njTfy7LPPsnbtWn7961/raYMPPvgg119/PalUaq/7m81mLr/88px1d955JzabDYPBQHNzM2NjY0f0\nGo4Gu2Yz7NoX8lilsNCLWUzqN9JYeIT6mqI5HlWG888+naaKTF2B1FIYLBkHQQjBvY89i8th5zMf\nvpwFCxaQCu+sCE2GpxBGs76cUjU6B4YI+P0YFYFitmCRGmlNQ4tHScXCpDUVNRahp2+AL956OxP+\no6YJlyeXeVLKG4GIlPK3wAXAqbPdOW+8Z8HAwMBuRnlXVqxYQVtbW07XnbGxMT71qU8Rj8eRUtLR\n0bFbN583Iqqq6gZQSrnPG9qxxuozF1HqmaTQMcFpbyrDs2uXmjmitKSYB378HW677kouP++cnNcs\nJiM2W0ZUKhWPIoUkGZ4iGfQj06BFQ6ixCKloCJnWQIIwmSh3mGgoKaCxoZYzFzegWGyYbE6MNicA\nY9EE9zz+LNff9qOjfr15AMh+cQJCiBbAA+zen28vvDFcpjki28X98ccf3+Msvd1u58477+Scc86h\nqqpqt9dHRkZ2Uyvs6+s7YuM9WtTW1tLf36/37KyuPvbE/4eGx5kMRClw26iq3JnHLYRg0cJjc/K4\nrLSEj37gYi678B1MhG7hydfasBoN3HzNR/UiIt/oJGbHzs4/iVAATU1CPIbRXYBxWjlQqCm29/Rh\n9hRlxKxkGmHe6c2LGVk5m7Z1H8WrzDODXwkhvMCNZAoXndN/z4q88d4LTzzxBF/72tdYt27dHl+3\n2+088MADnHfeeXs9RnNzM/X19ezYsUNf9+53v/twD/WoI4SgtrZ2roexV7q6B+n2CSzWQgbHI4Qi\nAzTPP/ZuMHvDarXy+9u/ybaubgrcbsrLdjpjoVic7ANzWlVRAKOnmLSWIh2PIs1WPRZucLgwWKyk\n1RRaKoXRvHOuRs5o97ekqf4oXVmeXbhbSqmRiXfPSklwJnnjvQeeffZZLrroot1Ep4qKiqioqOD8\n88/n29/+9n5jvUajkfXr13PllVfS19fHRRddxNe/PivNmTyHwMBwHIs1Y/AsFgeDwyM0z10tzkGh\nKArN83MzlTa0bSEcDqPYXQghUGMRzK6CTAgrLQGBGotisjtIa6purBWjCTNpzjv1JDp6fTQ31lBX\nVsKGjh5qK0r5709fNQdXmAfoEUI8RqYxzdMHmhedN9574KmnntqjWuCll16q96GcLV6vlwceeOBw\nDS3PLNhVpHIfopVvKDq6e1HsLtRoCIlAJhNIKdHiEQxWB4rZghqcZOWCxYyOT9A7ubPC9+K3nMXP\nvvk1AJ595VXWbdrKVe+/gHe//ZAqtPMcGs3AhcCngd8IIR4C/iSl3Ld29DT5Ccs9sKeCmgsvvJBb\nb701Z52maXzhC19gyZIlnH/++XR2zl6sPc+RY169h3g0o7YZi/ppqjs+ZAmWNc/HZbVgcrgxGI0Y\nXB7UyBQGqyMTxxYCo7uQ1o4u/uvDl1Je4ESm08wrL+Td556BlJIHn3ia//jKt/juPX/j49/4AT/9\n7R/n+rJOWKSUUSnlX6SU7wOWA24yIZRZkTfee+BjH/sYRUW5KWRVVVU5mSSQae5w++23s2XLFh5/\n/HE+/vGPH81h5tkLlRXFnLaiiKoiP6uWe6itmfUE/jHN4gXzuOvm63nXaSs4ZdE8jGYLUuz+FY4m\nU0QSSa5899tRYkG2dHTyn1/9Fl/69g948OkXSKWzTyKCB5/JN/+YS4QQ5wghfkam76WVY0hV8A2J\noijU1dUxMbFTK91sNu+23fbt23OWjyfPe2Jigng8risflpUdlWZHhw2Xy4nL5ZzrYRx2Vp9+CqtP\nP4VQOMy7Pv5fdPgkWiyCYbohgxaPolhsPPPCSzz+740Y7R7MQpBWVX7z90e5+JzTco5XeIykSh4r\nfDM16/6/h8x0f98NwF+A66WUkX3vkUve894LN998s+5pL1q0iM997nO7bXPuuefmaEMcL9Ku4XAY\nKSVVVVVUVlZit9tn3YUoz9HB5XRy+5euQ42GUOMx4v6xTN43gpaaMl7etA3FYND/PxWjEZnWuPzC\nt7FyYT1KWmNBVQk3fmpWldh5jgzLpJTvlVL+8UANN+Q9771y4YUX0tbWRn9/P0uWLMHl2umhbN26\nlba2NpYvX869997Lo48+Sm1tLV/+8hHvoXxUCAaDVFZW6ssulwufz7ePPfLMBQUFHkoKvYwHQggB\nisWKEAqNdTVs79v986opKuBtZ5+FqsGDTz1LRWkJ1RVvrCeq4wkp5SE1T80b731QVVW1W/HNQw89\nxIc+9CHC4TAFBQXcf//9/Pa3v52jER4ZXC4Xw8PDaJqG0+nEYDDsU88lz9FFSsnv/voPvvfr3zMR\nDGO0ZbRNtHgUYTSxuL6aZ19WiMQTSBkFBDKVwC88fOend/LT+x/R497bdvTzhx/cuo+z5TlWyYdN\nDpA77rhDb7IQCAT48Y9nJyH5RkIIQTwep6qqinQ6TW9v724TuHnmjtvv/B3X33EXY9EkitmKFs/0\nZE1rGgVmwYYtHQSSEgwGFKMJFAVhMpOQgt8//OSMCUt45pV1XPHFr3PdLd+l3zc4V5d0QiKEaJjN\nur2R97wPEJPJtM/l44FAIEB9fT2QyVOPRA44HJfnCPLMug16LFuqKdKaCvEoFYVu/AnJExvaQUti\nMJozOeAWO8q08qDVbEaGMxPR6WQcaTTxxKsbgYwX/uhdPzquNL6Pcf4KrNhl3f3Am2azc954HyA3\n3HADGzZsYGRkhKqqquMmzj2TUCiEz+fLlFkrSv7LfIxRUVwE9JBOxsFgxORwk1ZTTMY10iLzeRms\nDr2Jg9thI5zUsJuN/M9nrmLj1m08+uKrTE5M4E/u9MLXd3QTDodz5nfyHH6EEM1kNLw9Qoj3zXjJ\nzQxd7/2RN9774YUXXuBrX/sa4XCYT37yk1x99dW8/vrrbNu2jebmZkpLj48c4iyRSITCwkI9NTAY\nDNLX17dH4a08c8NN136CQDDMSxtaUaf7WCLldIu0ndu9ZeUyrrj4Ak5ZvpRNW7fRUFtJU309F739\nXG687mou+vh1vNLeo4tUmYTE6Tz+0iuPQRaSqawsAGaKHYWAT8z2IHnjvQ/C4TCXXnopg4OZWOCn\nP/1pFi5cyOrVqykvL5/j0R0ZpqamcjJN3G43hYWFczii45tUKsXtd93Dxo4uFjXWcv0nPrLfyeGq\ninLu+8ltXPKZ63m2dRsAislMKhzA6PAghEBLxllUX0tTbTWbOzpZubyFJ198hW/94rcUeT184cr/\npHl+Ey+1boXpJ6ul8xryT1lHASnlg8CDQojTpJQvH+xx8sZ7H/T29uqGGzLl8Nu2bTtu8rn3hNvt\nZnJyUjfYkUhElyM91pBS0rZlBylNobTITnVVyf53Osb4/q9/xw/++A8AnnqtjUQyxTe/8Bkg8//W\n299DRVmVruedpXVLOy+3bkVLZCYthZpCmCyZUAoZMaqf/vEB7vzHk2gIKtxWRoMxtOmuOl19Pr50\n5eWsbd3M5t5Baoq93Pbla4/ilZ+4CCG+JKX8LvAhIcRujQKklNfN5jh5470PFixYwLJly2htzbSL\ncrlcnHbaafvZ641LIBAgGo0SDAbx+/1YrVYURaGiomKuh7ZHXvz3NjSlEiEE411BNG2Euto3Vt7y\nxo6unOXXOzJVu2MTI3zjV9cyGOzAbvDy2cu+w4qWVfp2GzZ3kMSAYrKgpCaxWCWrlpzCM61dGcXB\neBQURTfWA2N+DJadN4Dn1q5nzdrXQUrSyRhF8+oo2kX+Ic8RY+v07z3rTc+SOUsVFEKcL4ToEEJs\nF0J8Za7GsS9MJhMPPvgg11xzDVdccQV///vfWbp06W7bDQ0NcfXVV3PRRRdx1113zcFID51gMIiq\nqlRWVtLc3IzBYEBVVdLpNAMDAwwNDc31EHcjENpZQWi1uRkafeNlxSysr8lZbm7IiKLd/8RdDIW2\nIYQglg7wu4d/kLtdUx0mReB1+ll1ZpBTTo8QNz2FxxhES8RRTGa96XAWvftROo1EwWi1Y7Q5MDoL\neG3TFr75i98cwSvNk0VK+dD079/u6We2x5kTz1sIYQB+CrwdGADWCiH+IaXcMhfj2Rf19fX87Gc/\n2+c2H/nIR/jXv/4FZIp4vF4v73vf+/a5z7FGOBzOiXXX1NQwMDCgT1SGQiH8fj9er3euhrgbRoPc\nZXmOBnIIfPnqj5JKqby+rYtFjXX8z7WZ+ap4MrdzUzwVzVl+80lL+cgFK1m3/X5M5owPZrYrVNWN\nkeitIK5acFoF0XQahML8uhrOP/1NvPD6ZiLBANvHdsa2FYMRDRj3H1LBX54DZFoCdle94ikyHvkv\npZTxfe0/V573KcB2KWW3lDIJ/Am4eI7GckhIKVm7dm3Oul2X3wik02nSM7qrTE1N5UxUulwuotHo\nnnY9ajjrF+Kav4LKJZmm0M1NLoKBQcIhP4nIAIsXHpvhnX1hs9m49fprefjOH/K/X/0crulsj9Vv\nejcmMmEOmRace/J79H2klHzrl59nm/8+jKZc3flUUrDiTSPcdOXFmS46qRRqPIbV4Of//cd7+df/\n/ZRH7/45FnZ+1mk1hWI0ceHZq8hz8AghaoQQzwghtgghNgsh/ms/u3QDYeDO6Z8gmYyTBdPL+2Su\nYt5VQP+M5QEOoGvysYQQgqVLl/L888/r6/YUWjnWqaioYNOmTZSVlaFpGrFYLMfLHhoamtMqy4LF\nq7BVzkMxGknGY9jrFhPt3UJdbRnRaBSHo2b/B3kDcXLLKdz8id+weft6KoprOPXks/XXOrvb2di/\nBiEEiVgalDR2p8L4sGB7bwUVxQrjIZVQPIVitqAAW/uCfPfuL/L9L/0Bj8fNI7/6Pl/+3k8Ym5xk\ncUMt73/neVx0Xr4xwyGiAl+QUq4XQriA14QQ/9pHROF0KeXKGcsPCSHWSilXCiE27+9kx/yE5U03\n3aT/vXr16mMy0+N3v/sdX/7ylxkaGuKiiy7ab6f5Yw1N0+jt7WXZsmXEYjGGh4eZN28ek5OT+Hw+\npJS43e451TcxOJwo023nDFYblsJiIHPzdDgcczauI8n8hkXMb1i023qb1YGQBjRNJRYVbOqoxCBS\nqNKKMBi54IzLiSYyT+PpZBwpJQLJK6+3sb51LVUVNSxdtJBHfvPGlnZYs2YNa9asmeth6Egph4Ch\n6b9DQoitZBzVvRlvpxCiVkrZByCEqCXThBggub/ziQNsm3ZYEEKcBtwkpXzH9PJXAaSU395luwNt\n65bnIBgYGMjpAD84OEgoFMJut1NRUbHfXp1Hg6KVb8No22mkkyE//g3PzeGI5pZ7//krfv/IHVid\nBl5f7yWSzGSKNJaX8NAvvofDZuVdV36STTvGMZgyWvRCJjl5mY8Cj51PXHgjbzn9grm8hMOOEAIp\n5UEnqgsh5Ae+etKstr3/2xv3eS4hRD3wHNCyN/VAIcS7gF8AXYAAGoBPAWuAT0gpf7ivMcxVzHst\nMF8I0SCEMAOXAf+Yo7Gc8MwszBgfH8fhcLBw4UJqamro7+/fx55HDy0aJK2mMn/HY6QCE/vZ4/jm\nQxd+kvNO/SAGo8LSk/zUVgxSVzbBfT/8BsWFXmw2Gzf/13W64QaQwkwkYkAlzu8f+9Ecjv74Rgjh\nJKNb8tl9yb5KKR8B5gOfBf4LWCilfFhKGdmf4YY5CptIKVUhxGeAxwED8Bsp5X5jPHmODAaDgfb2\ndlwuF6FQiObmZv01q9Waeeye48q7wOZXsVcvQFgslLsdPPfYozzx7PaMu1JtY17TiVe+f/6ZH2Bd\n55NgCVPXmOQtS95LdeXOSdvmeY2UeZyMTGVUMA3EcbnTgCCl7TORIc8ujPaGGesL73c7IYSJjOH+\ng5Tyb3vZ5i1Syqd30TUBaJp+etjjfrsyZ8/D03edR+bq/HkyJBIJ0uk0drsdIQSRSARN0zAYMnl3\n8XicwcFBpJQUFhZit9vnbKzRgUwp+ODQGJu70ljtmWyYbt8UBQV+iouOnTTGo0FzUws3f+Iu1m99\niQJHMW8788Kc10uLi7jyPSv45d/+SlqD8tIQdqcBmYbzVl06R6N+Y1Ja56S0bqfuy9YXRnbbRmQ8\nnLuArVLK2/dxuHOAp8nVNckigWPbeOc5NhgfH8fv9+N2Zzqsl5WVsX79empqaojFMrnG2VzvHTt2\nUFdXd1Be+NjYGKlUCiklDodjt2bOB0IgGMNi2ZnGaLV5mAoETjjjDdBUt5CmuoV7fb2kxE7LSZkU\nz1QCIgGNG6/8Kae9+ey97pPnoDkDuALYJIR4fXrdDdOOqo6U8n+mf3/sUE6WN94nOFm97traWiDj\niY+NjeF2u5mYmKCgoIDR0VFKS0uprKxkfHyckpID0xAJBAKYTCZ9v7GxMaLR6EF78aXFbgZGAlht\nmRtAPDpBaXO+WcSeOO2kt/L42j8T0wIYzQpnLL5gN8P998f/RN/Qds499UKWLlo+RyN94yOlfAHY\nr2cjhPj8fo6zL69dJ2+8T3A0TcvpDG+xWDCbzYyOjrJkyRIgU105Pj6OqqoHpTAYiURyJGVLSkoY\nHBw8aONdXFTAosYkOwZGMnn2C93HZaf4w0GRt4zPfvC7dA5swmX3cP7ZuWHW//7+NWwefhGjSeGZ\nTfdx9YW3cP65b8h6uTcSWcH0hcBKdiZrvBt4dbYHyRvvExyn00lvby8ejwfIxLiNRqMeRoFMdWV/\nfz/FxcWYzea9HWqvmM3mHE87EAgcUm52Mpmk0Ougpvr40lI/VJ54/kEeeuEeglNBFtQtxSBMvNb9\nJJpMUWiuYdmilXT3tTCvPjMh/cxLj7G++1kcHjOpuEYqqXHHn7/CM+se4jtfvHPOJ6mPV6SUNwMI\nIZ4DVkgpQ9PLNwEPz/Y4eeN9giOEwOv1smPHDjRNIxqNUl9fn1MeL6XEZDIRj8fx+XyoqkpJScms\nPeeSkhJ8Ph9+vx8pJWaz+aCbWLRu2kHfcBrFYMJp6eOs05vzRgbY1r2FXz/yDSKhKBa7kX93DGIw\nKhjNCgYEgXQ/T/y7hw2dz/Gdz/yeLds3cMd9X9bFqlIJDbsnc2PumlzLnx+6i8su+vhcXtKJQBm5\nxTjJ6XWzIm+88+ByuZiYmKCpqQmA4eFhXU1QURTi8TgWi0WPiwP09/cfUNjjcHTiGR+fZDhgxV2Q\nCZGk0x46OvtpXlC7nz2Pf3wjvUihZlqgGRWSMQ2JRiqhASCmKzompkb46NfOQ6bA4NBIRFSMZiUn\nUiuEoH+sJ+f44UiIPz36KyamRjl5wRmcd9ZFR+vSjmd+B7wqhHhgevk9wP/Ndue88T7BiUajdHZ2\n5uixlJeX4/P5cgzuzKYUAIpy9Ou7wpEYFsvOcI6iKKhqvgIXoLlxKXZTAVE5CoDBKNDSEpsr0yA7\nGVOJRJI43GYsLvAPR3G5LDi9FqJTSdRkGiEEQoDZZmDlkrMA6OzZysNP/5lXWp8jZhjFbDWytvNx\nTEYT5572zjm73uMBKeWtQohHgbOmV31MSrlhtvvnjfcJTCgU0jNNIpGI3nhWSsn4+DiQKeBJJBJM\nTEwwNjZGcXExZWVlOQqER4ua6nI6ezqxODKl/LHIKNULDr17Tl9fHwaDASklFovlgLNpjgUqyqr5\nyhU/4b7H7+T1bS8Ri0bxlOx8MjLbjIT9CWQaErEURVUODMbMDVgoEA0msblMaFqaYtM8Vq86n/au\nNr78gysw2DQMDgUtIknGVMw2I1t6Xssb78OAlHI9sP5g9s0b7xOYYDCoe9cDAwPE43FsNpsuUiWE\noKOjA5fLxcKFC3E4HITDYbZu3UpLS4veoKG8vBwhBBMTE8TjGSEkj8dz2LuQGwwGzj6tgfZtg0gU\nWpqKKPAc2jmGhoaoqKjAZMp4qMPDwySTyYOamJ1rFs1r4evz7uBvT/yOux++jWRcw2zNFFtJ1YAE\nNDWN0WzQDTeAlpIUlGYMvcGgMBLv5N2fXIHT7kElgXm6xN7mMBENJjFZJeWFx5eK4xuRvPHOA0B1\ndTXbt2+np6eHqqoqBgYGSKfTengkmx3idDrxer10d3fT0NAAQFdXF8XFxSiKot8MBgcHMZvNh73/\npcVi4aSlDbPadmBgINOMV9OorKzco8BWdjI2S1FREX6//6AnVOcKKSVPPvcoU2E/jbULcTsLCIYD\nxEJpLAY7n7j4Bu566DuEo0HsHiPRYBK7O2OU47GUHl6BTPg7no6QVuNEgwl9OwBFM/PWZZfy3vOu\nONqXmGcX8sb7BMbj8TA8PEx5eTmxWIxYLMby5ct1r7OrqwuLxaJnJGSJxWI0NTXphr2pqYmNGzey\nfPnOAo/KykoGBwdzuvMcTQYGBigvL9cN9o4dO6ivr99tO4vFQigU0p8ShoaGchQWjxWklNz70C9Z\nu/UZ3I5CrnrP9dRVNwKZRhrXffMyhmMdyDSkoxauvexmtuxYi83i4L1v+yjRWIS3D1/Co8/fj6aF\nsdiMhCYTqEkNu9ukG3NNSxOaTOAtz3jiFoeRwGiUglI70VASq9XFJy/50pzMeeTJJW+8T2CcTicG\ngwGfz4fZbKaoqCgnXFBcXIyUUlcWrKqqYmRkBFVVc9LzhBAYjUYSiYTuaQcCAaampoBMFeeu3c+P\nNIqi5HjaM73rmRQVFTEyMkIoFCKdTlNYWHjEDdPo6CipVEof52waPP/rhQd54OWfI4TANwW3//6r\n3PGVPwPw5Av/ZDjWkZlwNAD2BP9uXcNXr7kNgNYt6/jevZ8jng5hcps4Y/6lPP3qQwhDCpPFgMVu\nIq2liYVSTI1H8RTvjJUbDAoIweRQBJvLDIYUyWTyqH+eeXYnb7xPcGw2mx7qGBkZIRaL6V/MiYkJ\nGhoaMJlMdHd3Mz4+zoIFCyguLqanp4fGxoznt2XLFlwuF+3t7ZSUlKBpGgMDA6xatQohBD09PZSX\nlx/VL7ymaTnL+5pgnVlheqSZmprKyXMPh8NMTEzst0uRb6wn54bpG+/Rw1p/fuxXuTdTBZKpnenD\nD7/4R+LpENFgEiFSPPLKvfz8v/+Bb7CP7919A6lkBJPZgNEMixpW0Du2BduMqQSzxYC9xEZkKsGq\nRe/IG+5jhLzxPsFJp9NomobJZKKsrIzBwUEGBgYwmUykUim2bNlCcXGxPkE5OjqK0WjEaDTS2tqK\nqqosW7YMo9FIWVkZU1NTTExMcOqpp+oGpaGhgd7eXurq6g5obIFAgEgkgtVqPeAWbKWlpfT29mIy\nmVBVddaNkzVNY3R0FLvdrledznwtq7Z4sEQikZxQktPp1J9Q9sWC2pN4+FWBUDIhrPnVS1EUhUQi\nQf9IJ0argsOTeeoJjiT52Geu0/dVhJLJJnGaEIrA5oJv3fk5/vvqH/KWM89je1cHhZ5SLn77f/Ly\nhmfQUiqh6CTh5AQIsDoyZsLrKOcLH7v1kK4/z+Ejb7xPYHw+nx7yCIfDNDQ0oGkadrudcDiMEAKr\n1ap7ppWVlXR0dLBw4UKSySTJZJJoNKrHxK1WK5OTkwCkUik9hCKlJBjM1aSfmpoiEokghNDDBlJK\n3eDGYjFMJhN1dXWEw2E9K2QmwWCQYDCo3yRm5qVbLJYDvlnE43GGh4epra0lHA7rue5+v59wOIzZ\nbCYejx9QdelMkskksViMzZs309zcjMFgYGpqCqdz/7osZ7z5LURiN/HqlqfxOIv40Ls+BcDw2CAm\nqxGLw0A0mCQRVVlYu5zaqp2Tuhef+xHWvPYwQtnpnU+GhvjW3dfij2fy96f8Q/zqj0P0+Tdjc5lI\nqCrhQJziaicGo4Kmprnigmvzse5jiLzxPkHx+/14PB7dcBQVFdHW1kZzc7MeH+7r68uJG6fTaZxO\nJwMDA0QiERYuzEiR9vT0UFNTg6IoTE5OYrFYaG1tZcmSJdhsNtra2liwYIF+nKyBr6ysJJVK0dHR\nQXV1NX6/n9raWt1A9PX1ARnvdFfjL6UkEAjoVZ/xeJyRkZFDCoGMj4/rk5put5tQKER3dzcGyIE9\nZgAAIABJREFUgwGDwYCiKNTV1R1wdSlkDPfw8DBNTU1IKWlra6OgoACLxTLrzJbzzrqY887aKRql\nqiq3/fZzpNMayIxOt6fExnCoixfWPcWZb34rkNH9NksnMyuxI9EwBoeqL8e1IIO+EWxuI8lYJsXQ\n7raQjGsgNSq9TZx/zq69A/LMJXnjfYISi8VyNLUNBgPpdDpnYi8bOhkaGiKVSmE0GhkeHiYWi3Hm\nmWfq2zU0NLBx40YURaGmpkY/7tq1azEYDDQ2NuakDMZiMd1LHh4exuv1kkqlCAQCOZkeZrNZj+vu\nmvESDAb1UEi2qGhwcJBIJILdbkdKSTqdxmaz6T/7Y1eNlEAgoHvIkEl/VFX1oLzP8fFx/UYjhKCl\npYXBwcFDSkns7d/BcLAbNZUm5I/rudoYNH77z//VjffTLz2CsEWZGk9hthiRUmK0KHrBDUA8rGGy\nKXrKYCycIq1JbE4TVoObqy+54aDHmefIkDfeJyilpaX09fXpoYXBwUEMBgOqquredrYJcSgU0j3n\nyspKNm/enJMDnp0c9Hg8OTeE6upqPQ7e05OZYItEInoseXx8nOLiYt2wRqPRHPXBYDBIeXm5rgc+\nE7fbzcDAAE6nk+7ubhobG6murmZgYAC/38+CBQswGAxs27YNp9PJ9u3bKSgooKCggFAoRGFhIVar\nNeeYTqeTsbExSkpKSKfTxGIxxsbG0DSNdDqN2+1mZGTkoIy3lDKnndyhxs8nAxO83v4yqZCBglI7\nsVAq5/VoPEzfQC9mk5kHnv0NJpsRsypz8rmnxuJo0/IC4ckUJXU7nyZsThN1nmVcdclnqamop6T4\n6E3qziXPvTDbUNvGIzqO2ZA33icIIyMjaJqGpmlUVVURDAZRVZVNmzbpDRlaWlr0UEkwGMRms2WE\njnYxMh6Ph+7uburr60mn03R2dnLSSSfxyiuv5IhXpVIpNE3T4+mQ8bo3bNigH7e4uFjfvrKykra2\nNgoLC9E0jYKCAgYHB3E6nbt5qEIIXC4XGzdupKWlRTeKZrOZpqYmfcwLFizA5/PR1NSEz+ejr68P\nr9erT8rOjIt7PB5CoRA+nw/IhCVcLpdeoPT6669TXl5OeXn5Ab//5eXltLW10dLSgqqqbN269aC9\n7sCUn6//7BMMh7oIhSOYnHYUg9A9aSklVsXD5358EVKDVFRBGlIkYyoGo8BsMxIPJ7HYDVgdGWOe\nCGaqL7OVl5qqccV7r2HF0lMB6OjeTEdPK9VljaxoOfWgxp3n8JI33icAw8PDuN1uPZywZcsWqqqq\naGpqQtM0+vr6dG83a3yj0ajuSff09OheYyQSwWAwMG/ePDZu3IimaaxYsYLe3l6cTiddXV243W5i\nsRiBQACz2ZyTXWGz2aiursZsNpNMJunq6spRM2xsbNxvPDmRSOjaK9XV1XpIBzJx+T15tMlkkoGB\nAc4880zdi+/s7NT1XaLRKOl0mng8TlVVFV6vl2AwmKM77vV60TRtVql9M5FS0tPTw+LFi1m3bh01\nNTUsW7aMaDSqdyk6ENZuep7BwHbi4RRFFXaSsem0SAOUWubjsZbS4X8eNZkmGkpOh1NM2FwmJoei\nVFCJP9yD0WIgHlYxWRQMVsnkUAKXN1OUVV3YzKqVmY47r77+PD/4y/WoxCGt8OG3f4l3v/WyAxpz\nnsNP3nifAGQzSGCnx5oNbxgMBjRNY2pqSm9xlkgk0DSNUChEQUEB9fX1tLW14fF4mJycpKioSM8K\naWlpYXR0lLKyMoxGI1VVVSSTSYqLizEajRQXF9PX15fjeSeTSdLpNLW1taRSKTZv3oyiKESjUVKp\nlO7x74lEIsHIyAi1tbVIKWltbSWdTrNo0SIsFgvhcJjR0VFaWlpQFIXe3l6MRiOqqrJw4cKc8IvH\n4yEejxMMBvWwUDQazQkhzQx1JBIJ+vv7ddVFTdMoLS3FbDbvU8xqcHCQpqYmUqkU9fX1+rZ2ux2/\n33/An6fd4iQeSeEoyMwjWJ0KxK189vJv8/yGR3m+9Z/Y3WbUpIrFlhtustgMjEz1U+yuYdw/REGl\nRb8+oylJJJTk7OUX8vVrv6/v89Tav2cMN4CS5unX/p433scAeeN9ArBrgUoikdD/npiYwG63M2/e\nPHw+n26A+/r6kFLS2dlJeXk5BQUFVFdXU1tbq1cj1tbW0t3dzdTUFCtWrNDPk63SzMbPPR4PW7Zs\nwel0MjExgdvt1g1gMpmkpqZG79yT1VfJFgBBJq0wHA4D6J6qz+ejoKCAlpYWxsbGaG1tpaysjHg8\nTiwWY2hoiGg0ysjICOXl5VRVVTE8PEw8Htdj3YFAQM+SyWK327HZbITDYZYsWcLWrVuxWCwEAgEs\nFgtVVVVUV1djMpnYvHmzXqW6Lw86I7Uq9IYWMz+XXSdiZ8Ppbz6X2n8uYiLVra9TDBK3w8uLWx5G\npiXjAxFsbhOkd5E2iKg4vWYicgRh0HJukma7kVFfmNe3Pc+l159GU/Virvng17GYcyd7LaZ8kc6x\nQN54H8cEAgFCoRCqqtLW1obX6yWdTmO329mxYweVlZVMTk4yf/58AF2QamBggNraWv2LvXnzZnw+\nn164Mj4+rnvSTU1NdHR00NGRKc/eunUrRqORWCym66LE43FcLpc+aZcNk9TU1LBly5aclmtWq5Xy\n8vIczZVsKCObJz1T/Cqb/VFVVUVVVRU+n48lS5boY29qaqK7O2PkysvLGRwc1G8GQgiGh4dJpVJ6\nGETTNFKpFOFwmEQiQWNjox6rzhr9rE6K2+3W4/qqqurHzRYsAXoopr29nebmZhwOB9u2bcNut6Oq\n6gHnokPmZvClK7/D//zq44QTfpJxjaU1p+Ab6UURAmuBBUeBhcBoDFdhRq8bQE1p2F0mklENk9WA\nzWXKUR4M+5O4CiyYPCqg0jW2gZ/f9w0+fen/sH1gE6PhHaQTBrz2clKp1F4lB/IcHY5Yxr0Q4iYh\nhE8I8fr0z7tmvPZVIcR2IUSHEOIdR2oMJzqhUIiamhoaGhpoaWlB0zRqamqoqqqirq6OYDC4W8ZF\nIpEgmUzmeGQul4vTTjsNu93Oli1bdhN4stvtmM1mFixYwKJFi2hsbKSoqAiv18u6detQVZWamhpq\na2spKyujvb2d4eFhIJOfPTY2hs/nw+fzMTExQSKR0D1Sv9+vG8KxsTHmzZunn7eyslJXNJxZDr+r\n7koikdCrGLOZLaWlpcybN4+GhgaKi4tpb2+nu7ub1tZWPZWvvr5e965nvk9ZoxUIBPT3eXJyUp8M\nLigo0HPUt27diqIo2Gw21q9fT2dnJ01NTVRXV1NfX3/QLdwa6xbw+ctvx24swO42sz3wbx569h49\n9Q/AYjcSC6dIpdIIg8BdbMsoBCqgJrXM5GZa4h+JEg0mcRaYsTlzpXBHJvupqaxjxfxziYdVMKis\n632U/3vgjoMad57Dx5Eul/qBlHL59M8jAEKIxcBlwBLgfOBnQohDqznOs0d2nbibuSyEQFVV4vE4\n3d3dxGIxPV4ci8V04STIeKMulwubzUZLSwubNm3KMZbZcvmZ5wmHwzidTlauXElhYSHDw8OMjo7i\ncrlobm6msLCQrq4u3QOuqqrCbDZjNBp58cUXKS8vJxQKMTExoRfo7Bp2SCaTevgiqwqY1SCHjGf+\n2muvkUql8Pl8PPXUU7S3txONRjGZTHrcv7CwkObmZsxmM2VlZdTV1SGlZGRkRJ+knUkwGGTt2rX6\n/EE2Pz7b89Nisejvh6Io1NfXU1dXx4oVK/B6vRgMBj22ni1YOlBSqRR3//37JJWQft2DoU7U5M7P\nRaYlDo8ZmZYIAbFQingkRTqVJhFRCYzEMNsMmMwG7G4zBtPOTJMsi2rfBMCOkUzlZXabzoHWgxp3\nnsPHXIRNLgb+JKVMAD1CiO3AKcDLczCWw8pYv48dT76ETKkUnbyIppXL97/TESSZ3FlRl/UOIdMQ\nOFthmU17a2trQ1EUvF4vzc3NrF+/nvLycqampnIe7RVFobCwUJdctVgsVFRUsHXrVn2bdDpNMpnU\nJ0mdTifDw8NYrVY9Lpw11Ha7neLiYnw+H16vlyVLllBRUcHY2BjJZJKlS5cyNDREKBQimUzS399P\nTU0NQgi6u7spKyvDZDLh8/n0wqOSkhI2bdrEggULqKysJJFI0NraSktLCx6Ph76+Pvx+P06nUw/Z\nZMvUA4EA0WiU7du3U1RUpIeJ1q1bR3FxMfF4HKfTSTQapaWlBcgUKW3ZsiXnvc8+OeyqIW40Gpma\nmiIej1NZWUk4HD4o6dy/PHoXXcMbc7S2jYqZkxrP5tWtT6BqKgajQiquoSY1jF4zRpOBZEwFBHaP\nGTWlERiOwgzv3+o0MtobxmIzUFHYwGc/cgsAVUWNdAyt1berLN45J5FnbjjSxvtaIcSHgXXAF6SU\nfqAKeGXGNgPT697QJJNJ2n//IO54ZtJufOBZrAVuqubP3T95VVUV/f39aJpGIpHQ+1Tu2LEDg8GQ\nU3VYXFyM0+mkpyfTePakk05icHBQ1xtZtGgRkNHJLi4uxmq15vS5LC0t1ePdk5OTuwlBWSwWxsfH\ncyooDQYDJpOJaDSKEEI39oWFhbruCqBrmgwODlJSUoLH40FKyamnnkpfX58e755JYWGhXtVpsVgo\nLCzUwy8LFixgw4YNxGIxJicnSafTOBwOysrKsNvtbNy4kZUrV+YcT1VVqqurCYfDpFKp3XK9TSaT\nrr8SDAb1p5xszNtqtep59uFwGIvFok+6Hsyk5fBkPxa7kUggid1jIq1K/vNt1/G+d1zBXx/7HXc/\n8p2MtreUWOxGjKbMeMw2I6lkGrvbjJSScCCBw20mEkiQTksSUY3iagdSg2suuZFQOERRYREfec91\nJFIxeoa2Ulu2gCvf+/kDHnOew8shGW8hxJPAnioWvgb8HPgGIKd/fx+48kDPcdNNN+l/r169mtWr\nVx/ESI88IwM+XDFN92KswsBUn29OjbfJZKKmpgafz5cTp66vr6e1tZXq6mrdQKZSKaampnC5XGze\nvBmr1ZpjdF555RW8Xi+1tbVYrVYmJiYIBAIIIXQPMmvgpZRs3rxZ1xoZHR3FYrFgsVj0mO/Q0BAm\nk4ni4mL8fj+xWCxn7FmDlm1Jpqqqnr0ys9R+b1WKu2bYqKqas2w2m9E0Da/Xq1d8hsNh/elj122d\nTidDQ0NMTU3R0tLCyMgIwWBQn7TMaoFnn2CyE7oLFy5keHgYTdOQUjJv3jza2tpoamqiuLiY0dFR\nQqHQrD7PmSxuWMFL7f/E7jYRD6u8ad5beN87Mt1t3veOK0gkY/ztmbsIhqcwWXLfI01Nk4ypJKIa\nFocRxaDoaYdGUyrjsWsa37n3/+GwebjmvTdx1sq36174scKaNWtYs2bNXA9jzjgk4y2lfNtsthNC\n3An8c3rRB8xsgFc9vW6PzDTexzIllRXsMAvc06HiRFrFW3FslBRnW4EFg0E9fpvNgc7qh2S97oaG\nBt3Qj4yM4HA4cDqd9Pf360qBo6OjmM1mlixZgqZptLa26vHe7Pk8Hg+dnZ0kEglKSkoYGRlh0aJF\nqKrK0NAQnZ2drF69Ws/cGBsbY3JyUo+POxwOvF4vQ0NDpNOZzua1tbX09vbq55FS7maUs2TDI3a7\nnWg0SiQS0XO2x8fHqayszDHS3d3dFBUVkUwm8fv9OfndExMTnHTSSQghdEMrhCAYDBIKhXT1xZGR\nEebPn4/FYmFwcBBN03A6nbt56R6PR3/KKC0tZWJi4oA/03ee837S6TRt3esoLajksgs+mfP+f+ii\nq3nnOR/kE7e8g6QWIx5JYbEbiU4lsTlMRIJJPCVWolNJzNaMGdBUiVAgrUkiU5nXU0T4/aN3cNbK\ntwMQjUX52xN3MxkaZ+XiczhtxeoDHvvhYldn7uabb56zscwFRyxsIoSokFIOTS++F2ib/vsfwL1C\niNuBSmA+8OqRGsfRwmq10nTZBfT+6wVIqXhPXkzt4gX73/EIs+2ltQS2drM5EaP+LacxvzmjBOj1\nehkbG9OzS7K52zMNWllZGT6fD6fTqXuTWfGnbFGLwWDA7Xbj9/tzQiKBQIAzzjiD7u5urFarnqGR\nzSPP3kSKi4vp7e0llUoxMTGB1+ulurpaN267ysBWVlbqJfyqquaU48/E7Xbjdrv1gqHsE4iiKNjt\n9hwNlsHBQerq6nQv3m63s3btWgoLC4nFYixatEg35NXV1fo1zbxev99PJBLRnwoqKyv1925Xdn1a\nmJkqeSBccO4HueDcD+71da+nkMaqxfSMb0RT08TCKWQaTFYDlpQRITKl8pGpBCXuGlqaVtE/vJ3u\n8dfxFFuZHIpic5pwKDsniX/wu//m9d6nAXhh8z8wGO7glJPO3NsQ8hxBjmTM+7tCiOVkwiY7gKsB\npJSbhRB/AbYAKvBpKaW216O8gaic10DlvNk1xz0adK9vZerRF7EoRkqBkade0Y23w+Fg06ZNeDwe\nPVtkdHRUzxKBjMeZnZxTFEXX3m5vb885j8FgQAhBZ2cnDoeDVCqF2+1GCKEb/ImJid30tiEzmZk9\n38w0wL1hMpn2arD3RLZgSAixz96UMw2q1WrdYxwdMobWaDTy2muvUVJSot+UgsHgbpOT+4plRyIR\nHA4HIyMjs9LzPlg+c+nN3PnXb9Pl20IsNY6jwIzTUIZqyeh4mywGDCaFyYiPNZvux+YyYXOZiQSS\nFJRaUQwKBmnRJQg2db8C02+VFBobt72cN95zxBEz3lLKvbaXllLeCuRbchxhgjt8mJWdH3G8fyRH\no8RsNmMymXSjWVRURHt7OxUVFWiaxuDgIDU1NZhMJioqKpBS0t3dTW1tLVu3bqWxsZGJiQmsVivJ\nZJKKigrdY+7t7UVKqRfQBINB3WPe04TfnujesInJtk4MNgvz334WTs/Beaj7w+v15mR89PX17bOv\npN1u56yzzqKvr0+X0s3qf2fnCQYHB3O8+5lUVVUxMTHB1NQUBQUFB6wN/s+n/8Lfn72bcGSK+vLF\nfPKDX6Kxbs9PebVV9Xzjul8C0L69jeGxQV56/WleWj+K6khisWZCKU6vhVgohRAZgSurw6iLVAWl\nj2deeYTzzrqYEk8Fw+EuIHNzKvLsv//miYQQ4jfAhcColLLlSJ4rX2F5nNLf309YaDhkGkVkvoRK\ngVMPHfT09HDyySfn5E0XFBRgMpn0GO6qVav010KhkC4ilS1aCYfDlJaWEo1GdSGqiYkJvSCnv79f\n107JSrTOevxbtzH6wNPYpksANgyOcNZ1BzzfPStsNhtSSl1NMJt+uD92fQLwer2Mjo7q2Tb70hDf\nk7DV0MgAW7taqSyrpblpz9/7LZ2t/PaJ20DRwAztQ//mhh9fySfe8zXetHQVa15+jCdevQ+bzcEH\n3/pxVq04R9+3eV4LDz59Dy9ufgh7iZlUUkGEPDi9mTx6i91ILJBGmCRGJbd4SEtn5hY+fenN/PKv\nt+IPjbFi/tlc/NbL9/s+nWD8H/AT4HdH+kR5432cEYlE2L59OyaTidIlCxhLpFB7hginU7z58osp\nq66mvb2dqqoqbDabPkkIOx/zsyXtWc3u8fFxDAYDy5cvZ2JigomJCYqLi3XvMZlM6jnPqVRK92IP\nJLyxK1NdfbrhBmBwIkfr+3Bjt9sPy7EPVua1vauNb//2WqKqHyENfOz8G3jnOe/fbbuhsf6M4Z7G\nZDEwNjjC/977edQ4mO0KdrcJ4vD9P3+em13/x+L5S/XtN277t54bbjIbSKamaC5eQdfoesyKjasv\n/SrjgXEee+HPRJVMkVKlewFnrMhMWDY3tfCDL/3xoK7xREBK+ZwQov5onCtvvI8zfD4fDocDh8NB\nYWGhPrGYSqVYu3YtvokxCgoKMBgMDA0NYbVaGRgYQNM0xsfHWbZsGSaTCSkl7e3tOJ1O0um0Hhoo\nKiqir6+PwsJCRkdHqampyVHGy+57qBi9blIznho0p/W47lp+78M/I6pm3kcpNP75wj17NN7Njcuw\nCBcJmcl6iQYTuIutGM0G/MNRbK4Z5e0Gjc4drTnG2+suZjQe0JcVIbjl07/AN9RPYUER23o3c/fj\n3yaqholMpDh5wVl8/TM/wOWc0U4+zzFBvpvocYamacybNw8pZU4+tMlkwuFw6GXnbreboaEhhoaG\n8Pv9VFZWUlFRoYcLsqGTmpoa6urq9IlHQG+N1tjYqDflzZJMJg9Lk9qFp69EnjyfKYtC0GNlwaUX\nHLQOyLHO7x/8Oa9tezZn3XhglB/89kbau9py1leV13DjlT+nofBk0lELiYjEaM48oRgtConoztTJ\ntCqpKs+tM/jCh7+NkszcBNNpyQWnfRiLxUJj/TwKCrw8u/6fRKJhEAJvuY3t46/yautzR+Ky31Ak\nA+OEe9v1n2OBvOd9nJGNK2d1tLOhi+3bt7Nw4UKsViuFhYV0dnayYsUKhBC6ONRMvRIgR98EMrnh\nwWAQp9OZ0+g3Wy6vKArpdHqfWR2zRQjBive+M5Nkehyjqir/ePFujGaFeCSF1WEiGVdJq1O81PEQ\nr3e9wHc+83sqSndmvixsauG7X7wbgJ/dcxtPbvoDBqOCxWYi6k+hptLItMSg2hibGMw5X2P9fG65\n+te8smEN8xtaOH3lOTmv28yOTO9Ke8Y0GM0K/3zhHt56+gVH+J04tjEXFGMu2Nn1Kdq3bQ5HkyFv\nvI8zvF4vfr8fr9dLQUGB3u0mW9IOmVQ4l8ule7LZ9SUlJXqThWxFY5ZoNEogEMBut+/Wod3lcunC\nUHkOHIGC2WpATQkCw1HsBRaszsxXM6r62dazOcd4z+RTV3wZx19dvNaxBqvHQ3v6ZRIxFVehBSEk\ndz12C9F4hPef/2EA1rzyGL/8x02oxKnsns/8xkWUFO2M03/gvKt4dt3DwM6nKaMhL/16LJIPmxxn\nZLu09PT0sO73DxD4+xqiz21gpLdf3yaZTO7mVWuahtVqpa6uTp9snDdvHv39/fh8PoLBIEuWLNmt\ndDzPoWE0Gvnguf8PLSVJxTUy0wU75wykplBRsu8nmY+8/1P86Ia/cMbyt2KxGzGZDfqNWSiC1ztf\n1Lf9w+M/0rviDAY7+ccz9+Qcq7ykkluv/Q0OYyYbxqK4+MBbP3EYrvTEQAjxRzIiewuFEANCiKuO\n1LnynvcRYLS3n7HOHVgKXMx786EpC46OjqKqKjabbdaG0+v10vfCOopGQoAB/DECr26hv75WD22U\nlJToqXzZHO1dMZvN1NTU7H6CPIeVZQtX8tCLRUSMEyiKgXgkiZaSCBQ+9PbPsKBx8ayOs2TBcrQn\nM1Kw6bQkHs7kbdtqdz4VpdRkzj6qltr1MCxoXMwPv3A/3f2dVJXVUlZy4A2XT1SklEctdzJvvA8z\nvm1d9N77MA6pkEinWd8/lIndHgQzFfympqZyWm35JyaZmpiksr5WryKciRaMMDOrWsTiuxnivRWR\nHAlG+gYIjU9S1liHq8Bz1M77RuBPj/+CaHoSIQQWh6DAXsXS+W/mnWdcRsvCk3fbvq1jA3949MeE\nwlOUe+s5efEqzl11AfMamvnUxd/kNw98l/HxUTyl051/RrYw4R+nyFvM+asu4/7nf4JQwGH08pZT\nLiYYDOaE0QAKPF5WeE45au9BngMnb7wPM6MbtuCQmWiUQVEIbOqEgzTeiqLo8WiPx6Nne2x/dT1j\nDz+PTSr0e6wsv/KDuLy5htg9vxZ/+w69wtLWMHequ9teWov/sZewCgOtFsGCD7+Xkupc/WopJdv+\n/RpaJEbZovkUVZ443t7IRK4uW3lxDddfedset43H43z/D9czFR8lEVUZiXax0fcUz7/+KLd8+he8\n7cwLaaxayJd++QF9H39ikFc2PsMFqz/IZRd8nPm1LUz4h7FZnHzvni8yFhygsbSFr1x1OyVFx4aY\nWp79k495H2YUS+7kjjAf/P1x13zp7PLA4y9gJxPXdAcTdD/37932nXfKCrwXnYO2qBZl1WKWX/Lu\nfZ4rHo/rrch2lWc9VEaeW4d1uuDGmZD0v7But23W/ulBYo+8TOq5jWz4yR94+Z77aX3wcSaHRw/r\nWI4k23e08/Ca+2hrX39A+wUCftRURsJWTWoYsex1W9/QAKHUGMmYltOIoWtsPZs6NgDgcLhQZvhl\nUkruf+I3PP783wF409JVnHf2e3jk5Xvxx30YzYK+wGb+/NivDmjceeaWvOd9mGn6/+2dd5gc1ZXo\nf7c6TefJeUYzyhGBMhKSBSKIHIwB40AwYBzW9q531/jhvG/frp/X9j5jL44YbGMwBmxykAAJBMoa\n5TRZk3NP51j3/VGtnhmNRnEi1O/75puqW+Gerqo+fevcEy5dTkVtI7buAAFFUnr1GWXNPSkmkynl\nOdLa2ppKYCTjKv1/d2Xs5GlRpy6+CBYPfu0+kWg0Snt7e8qtsKGhgdzc3AF+4sPKCT9KXk8vzZsr\nsBlMuK02ZDiMraoVSSsHD1Qz/wt3DnqzGG9s3/s+P/3L14nJMKgGPnfNw6xddcsZHWt3WPF5VGLh\nBIpBUJA/dFWd4sISzNF0fOFWDEaRqlkpVbBb7QDk5eZzx6Vf46m3/psEMUK+GKQ389tX/o38rGLm\nz14EgD/kHXDuQHjgus74Rh95DzMOt4sVX72XgvtvYfFDn6dk7iyqKvZRvWf/WUce5ubmYjQaUxVX\njhcNyFg0m5iq+WQHDFCwaN6pTnNaOjs7B4Syl5SU0NnZeV7n7E/OJQto8vXQ7uulW8YoXrEwtc3f\n62Xvb56mPCOHHKeL+q52cp19NnFnRKW1smbYZBkp1m19XlPcAEqCN7f+9YyPvWLJJ1I5tVGNZNpP\nrryllPz48YeJmj1Ykjm5w4EYahyuW/I5Zk7ty4dyy1Wf4aE7fkmwN4LNreWrQUnw0jtPpZ7DFRes\nTf2OCmlkxfy1Z//BdcYMfeQ9zDQdqaJz/1GUNAvOlW52PvYMznYfUko+2Lmf5ffcPmRgoJBXAAAg\nAElEQVSkYDAQoP1YE+m52aRnaflGTuZDfeH1V1JTWki010/xtDKyCs7PPnzc4+T4xGc8HkdRFBKJ\nBLv++hKh6iYMThvTb7qCnNKzD8Dxt3eRa3NhMhjwWA3YktkBOxqb2fPUi6jNnSSMJuJqAmealaOt\nTUzJLcCgKETVOJkjlE1wOLGYBr6lmE1pQ+w5mE9ccw91TdVsrX4JocDftv4PGekZXLP61gH7tbQ2\ns6P6TUK+GFanCVdmGr0dIcomz+buW/4htV8sFuMXf/o/vLfnZWwuLVugyWxAMQi2Hn2dp16axp03\nPMiqRWupaTiMP+DjhtV3smzhx9i1fyutXQ3MmbyASSV6ncrxjK68h5HmqlqO/fkVbBhQgXd27mFS\noi+ftK2unfrDRymbNWPQsV3NrRz+w99xhOK0KJL8my6lfP7QGSUnn2Lb2ZKXl0ddXR2ZmZmpSjPl\n5eXsW7cR08EGzEJAV4DDf32dnK/fd1bnDvgDhHccwplUbumhBPXbdjNp6UUc/cPfyYmo4EqnrquN\nfFcGaQ6XlnrW00m620328vmUzDh9nu+x5tY193G0cS/dwUbsxgw+eeUXz+r41t5aRDKTnxCSbQff\nGaS87XYH0YDA7jan9nXnWWn3tA7Y748v/Jx1O/+StIkr2N0W/N0RDGYFq8PE3pqtXNF1M9/91f14\nwlq9lL9vjNHYXsfTG/8boUgsioOHPvPISb1ddMYHuvIeRrqP1GDr56CntvfACbP3Yoi8H7XvbMER\n0mzXNlXQuH7zKZX3cFNWVobX60VV1VT9xYTHN+AtIeY5N5voIHORELTXN+CI9NWZtJospJn6fuiy\nc3NY+fCXJkw+k0klk/npPz1DXWMNRXnFuN1nZ6N327Ogu9+6I3PwPi43K+dex46GV1JtBoPC5OyB\nfuA1LQcHXTeDSVPcAFnOPHYeeD+luAGqOnbS1tOIULR7FVH9vLX977ryHsfoNu9hRHFYBygqR1Ym\nvjxtJKlKldDkfEqnn3wUKU4omEtcPel+I4nL5UrZ1QGc5SVE+uU7SSs9+8T7docdx7J5KRu915VG\n2dKLcOdkE6LvM0YTAyddFYd1wiju49hsNmZPn3vWihvg7hv+iWLXTIiamJx9IZ++9ssn3c8f7cbv\niaTWDVEX3/7STwfsU5KrPWPHPVjUhEq+qxyryGBmwTLuvukfcVoHVq03YIYTHjmzcYQmrHWGBX3k\nPYzMXLmMHY1t+A/XYrSlMf36qymaNY26A4dQFAPl+bnsevpF1FCY9DlTmba0b+Iub/E8GmqasKmC\niBona+mCMfwkGlMWzUeqCXqP1mNw2Fhw5SoAjry/jWBTO2kF2cy8ZOlplexFN15F45xpRAJBZs6Y\niiUtDbvTQe/1H6Npw1ZISEpWXkawrolQfQumdCfTb75yND7iuKG0qIyfPvR0Kof6yZBScrSxAqvD\npHmQANdcfHUqD3lPbzeP/Pm7VDUeIMOej6KacNvTufnSu7l0+cDJyOzMXPZU3sFbFc9iUky4zfk0\n9R5FMWh5VvKdk7n5srtG9kPrnBdiOHIvjxRCCDme5Ttb3vvv3+Hq0XyoI2qc3NuupGxe3ytvR2Mz\nXbXHaK07hj0O5qx0Jl96Ma2HKxEGI1Mumjfmo9F9698ltnE3BkVBlSrK0tnMv/bc3SF1zo4v/fvH\naQ/0lSH7zJqHuPFyLSL7X/7zHg41bUMokGY3sXDyFTx0349Oeb5oNMq6917m8bd+AEAskiAaTvAf\nX/wT8+eM/QDibBBCIKU85y+IEELmrrzhjPZtf+/F8+prONBH3qNEOBxGtnaBRRslWRQjvrom6Ke8\nc4oLaT1UibuyFUUoxKqbeXfzLorNDqSUvPj861z18FdIs565J0N/anbvp6viIMJkpHzNCrIKzjya\n7sj72+ipOISnsYUCi+ZvrgiFYE3jOckyEdm5fwsVhzeR6czjxsvvPKuybsPFVz75fX77tx/S4+1k\nwYxVXH/Z7YCWE7zWswur00Q8msDTFmRLYD0/feI7fOmT3zppCgWAaCzC028+mioqbLIYMJqVQcWU\ndcYf+h0aJSwWC6rbDmHtTSKuJnDmDE40FW5oxZysHtMd8FPs0uynQghKlTQ2/v4prvriPYA2amo4\ncARhVCifO/uUo/Kmqlran38rVVrsYNPfuPjr953Rl/TYwaP0vv4BVsVIbzhG/wBAg31kypKNN7bv\nfZ//euprqEIzV9S1VPJPd//gvM554MhegiEfF8xadMYBUTMmz+VHX//joPYtB9alPFCMZgMWmwmT\nXfLBkRfJfaOQT13/4EnPt2X3RoK0EeqNY3ebkVIyNWsJs6efX+yAzsijK+9RQgjBtE9cw8GnXkLE\n4jjnT2P6skWD9jOmO6G+g05fLy0eLVlRQk2Q60xHIlF7AwBEI1G2/fpJnJ0BVKnywY4DLL/7E0Mq\n8N76xgE1IR2BKK0NjRSXl51Wdl9zG5ZkjhSX1UazpwuT3UZafjZzr7vsrK9FZ0srnqZWMooLyMqf\nGLk0th/cmFLcABWV51dd5rFnf8qrO55AKDA5+0K+++AvsNnspzzG5/fxm2d/yLG2SsoLZ3P/rf+C\nzar9eDptGbT5+/btb27s8DSjqio1dVWkuzPJzuorKmAxWRCKwOowEvLFkBLuf+Bfx9w8p3N6dOU9\nSkgpqVm3idy4AsJM1/5qjs2voXSaFghxZNde2mvryZlSzpHdBzDEYswvKT9ux6OmowWLyUzhoosB\nqNu9D2enpsgVoWCrbeVYZTWThvBmseVl0aHGU4mq/EaYdYbBPe7ifJrUXaQpBmxmCzFHGhf/6wMn\nrbAej8dpa24hr7DgpKP6+v2HaH5uHTZVoV2oFN16BZPmzhqwTygQYP8L60j09GIuzGX+DVeOiYmi\nPxmO7IHr9uwh9jw97R1tvLLtCZK3gprO3byz7VWuXf2JUx73u+f/i81HXwagqfcIaS+m8fnbvwHA\nXdd9je/8/EH8UQ/EDJid2tubVGFGyYV862ef52jbNgxYuOfqh1Kh+ysWrWHz3qvZVvUaaXYz1y+9\nlynl0875s0102t97caxFOGPOS3kLIT4BfA+YBSyRUu7ot+2bwOeABPAVKeUbyfaFwOOAFXgV+OqH\naVZSSomqqgOUjZSS1x99nLwWHygKgUgYJRFnz6NPIu67nZptu4juqSLb6WLn6xuZlV9Kiwj0JdQX\nAovZQs7KhVxw3eWptoH9knptPhllc2fjb+uid/dhMBkpv2plKmPh6SieOY3QtSvorjiMMBmZecWK\nAYq74eBR2nbsIxwK4WtsIQ8L24O9ZORmY8lwMeXq1eSUaFkNa9dvItTtwW8wkFATBF/fOEh573/u\ndczVmg+ybPOy32Rk/nVXDJKrs70Dk8mEexTyntx8+Wepaz7C7qrNZLvz+Pyt3zrnc6mqyokPvJSn\ndw1t6hiYJqCxoza1vOvg+6hWP3abVgDa1yGZU7qESxddT2+gh8r27QghUInyxCs/5ooVN2IwGFAU\nhX/53H9QW38fJpOZkqLSE7vVGaec78h7P3AL8Kv+jUKI2cAdwBygEFgvhJgupUwAjwL3A1vRlPda\n4LXzlGNcsP7Rx4lXNmAUBijPZ82X7kEIwYG3N2GrbSNiMOINh7Bb0rCZzDT3dFHz5nsEahopSM+g\nqaeLHEc6BkUhEj+hfiSQNWda6keh7KJ5bNm+D1e7j4SqEp1RROnUKaeUb+6albBm5Tl9tmnLFsGy\nRfi9PlqOVBIKhpg0azrtxxppfOY1bNKACYgEY7TGAhS7MjAFExDs4eCTL7LqGw8ihMDf0UNJel8A\nSlNHz6C+wq2dHJ9eE0IQae0asF1KyZY/PYc43ICKxL78ghH3eElLS+ObD/wYKeV5mxTy8wq4/MI7\neOWDPyCEYHrJfFYvuea0x00tmkdt517iERWjRWFq4ZzUtkP1uwb82JusEFNDXH7J9Tz18oCvJ1E1\nTDweTz1LQggml43/KFadgZyX8pZSHoLBo0DgRuBpKWUEqBVCVAFLhBB1gEtKuSV53B+Am5jgytvv\n91NVsRdTTSs5Tm0SUm33c2DTVuauXEaix4ciFCqO1TC/dDIOizbinV1YSl1nFxYBrb0ejIoBVUoO\ntTSQbrXT2N2J2WQioSaQUlL/0tsUTSolzWbFZDKx7IE72fDLP6C0ezC399BaU0f+5LKUXKqqcmD9\nu0Q7ekgryGH2pSvOS/H0dnWz77fP4AzG6VVVuhfXYXE5sMm+t4xsh4vDLQ0UZfSZFRSPn0AggMPh\nwJmdCZ6++ohpjoF23oDPj7e3l1AwiipV3FY71tyB0YbVu/aSVtmMYtRG/5HNB9jjsOLdfhAZCmOd\nWcaiW6+j+Wg1ta9uQA1FcMyewkU3XnXeinc4bMFSSmLxiBbxKCDdnoPNemp7N8CapTfwzo4XSSi9\nmOMuPraoT+HnZZZyuGVbXx+qJBrTquasXLiW9TuewxttR0rJ6gtuZvOud2jtaWDulEV6FOUEZaRs\n3kXAln7rjcm2WHL5xPYJSdDvZ+fjz0JjB/5EDFOi72VYEQreFi0Xteq24QkGKMrIxmrqc9kSQpA9\nawqxUJjmLbuZU1iqjZoMBnyhIN5wkDxXBooQ2NKsuAMJ6iv2MWOFVuHkyMYt5HQEEYoFesMc+etr\n5H/jC6nz737hDZSKKoxCED3SwLv1DXzsnlNXaWqtraN+/QfIWJzsxfO0tLJJGrZW4AxqkZAmRaH+\n7S1Ik0K+yZYKbe8NBrBb0gjHoqk2me1OpbPNX3wBvjc2Y1IMSClxz+kb8TXXN7D/lfUUG23g0ibi\nmkWUJdeuGSBjIhJFEX2BLCYhaF+/hVzFAgjUfbUcyt9C24btZMa1/RI7j1KZn33SSeLR5uDRfbx3\n8PmUmWtv4wa27HqX5YtWn/K4v6z7NQmzHyMGYvh46o1f8M37fwLAXTd+lcbWWvbXbUWqKuY0M1cu\n1WzoxQWT+N9feIydBz/Akebi2Td/z+tb/wyAyWzhf931CEvmXzJyH1hnRDit8hZCrAdONrP1sJTy\nheEXaSDf+973UsurV69m9erVI93lGVP59ge4OvxgseLCyrHuvsIBXSE/c5cvJJFI0HG4GovJRK7T\nTZOni+LkqLQ54GXFNZ/GYDaxq7I5NarLdriIxmKUZObgTLNiMvTdJlVKmhsaOPLW+3j3VVLm6HM3\nTHgDmr2zx8ORl96ie/9R8m1aRj5FKIT2VLLhV39i2mXLKZo2OGNcMBCk4jd/wRCKAoK2Q9Wkpbsp\nTu4rOSFfhpQU29Jp8/bgDYeICIk36MdmSaPVbaIgPRNhNTP3qlWpY2ZcsoT9iTit+w4TSySYlO7C\n1+tl/4tvYjrSRLpUafL1pkbuTpdr0GRl8bxZVGzahTOgmZa6M6yktUUgacJXhELd5grcwSiYtUaD\nohDt7j3DOzuyxGJR+l9KIQQJefKc7P0JhHpTXiRCCPwhX2qb0+HkP7/+O2rrKzlSv4+inEnMm9UX\nwVuQV8x1ebfx93V/ojV8OFXIIeiNsGn3axNSeW/YsIENGzaMtRhjxmmVt5TyXIyJTUD/gonFybam\n5PKJ7UPSX3mPN9RQZEBymDSHgyaTilFRmHLLdeQWF7Hj2Zcx1LURVxMkpEq+O4M2bw+BeIzlDz2I\nKyOdRCJBwjxQQRlnlhKta6Wmo5XJOfkYFQNHve3kbdtL4PUtqEE/ajhMyBJNjeYDBom3x8PBZ17F\n1tIDscSAcwoE0cN1HGvpoueKZUTqWpBSpWj5Agoml9He1IwIRshza2YKKSWH33qP4mmTkVISV6Ap\n4sMeB4fVhslmBSDPpf2AtHi6mZOr3d5IIEHxbSsIdHbTVd+I3e3Gkmahtbae7g07iHV7KEzPJLZx\nN9s27cAeTmAyWQADua50Ov1esuxOrGWDc1vbnQ7mP3AHjRX7QVG4ZOkCtv/mKejUfOWC0QjWQJQu\nEjiSyjssExRPmXR+N3yYuGD2Ai4svYzdx97WXEhzF7F0/qpTHiOlJBpKEPZrSl5Iwcq1g8vrlU+a\nRvmkob1F2rqbBph+hBA4rG6klKzb9CI93nYWzL6EaeWzhjzHeOHEwdz3v//9sRNmDBiW8HghxAbg\nn497mwgh5gB/BpagTVi+BUyTUiaEENuAr9A3YfmIlPLVIc47rh1RGg4dpfGp17AJzQQQnVPKkttv\nHLDP+//9Oxw9IZo93fjDIRxWK0a3k+m3XoUwmYj0esmdWk5HVS2NL23AlAAm57Pk7tvY9dgzGBo6\nqO5oxWI0YUh3UmrsC4pp8/ZgUAx0+by4rDayHE58BolQFDKlkWA0Qm8okBytCdxWGx2+XvJc6YQU\nyEwmHuoOBwgWZTL72suo+sXTA4ohtLpMWOMqHU0tTEnPIRyP0RnwEbKacKuCRCRKhs1BQkqi8RiZ\ndi33uJSSFoeBAn8CIQS+TBuLP/8pKp58nrotu5lVOLAYcruvd2C/6SYK585kzpqVQ+b66E/A5+eD\nXz+JbOzAqChkOVx4QwGYVYbVaCLrgumjmqXxdKiqyuadG1BlgqUXfmzICMjjvPX+yzz68sN9k5Ix\nM0/8YCNWq/WsJlE/2PkOP3nmnxCG5PcqaOVX332Jp1/5NW8f+AtCCMzCwf+66xfMmT7/vD7jaDMc\n4fFns/+EDo8XQtwMPALkAK8IIXZLKa+SUh4QQjwDHATiwJeSniYAX6TPVfA1JvBkZcms6SifMdJ9\ntBaTy8H8SwZX2zalu6AnRGHSw6LBoWB02Hj/b6+Q0RXEoCg0pju44P5PMum7XyEUDOJyu+loaKKx\nrZVYezsF7gy6g34i3R7I7VPeqioJR8PkuzNwJwM8soBWQwLiYDNbSDOZONzZQpbZhicUINPu5Ghb\nM/nuDFpkgBynGxMK4UO1HKz6Ez4ZIxdNiYbiMUKtHvJt6YQNZroDPhRFIdvmpLajhYjVRnFGFnWd\n7dhMZkz9/LrrEwEm+e0ppeLsDlK/Zz/tVfXkutzEEvGUOUiVKkF7n/Jqtwou+/K9J/UjHwq700Hp\nxQsIvb6lT5FZTCy8/fpU4qbxhKIorFh85gFO3kD3AAUdF2HWb3qFv733awJhL8vnXs0/fPrbp/2h\nW77wUmLx/2THoY2kGR189qYv43S42HTgtdT5o9LPB3venHDK+6OGnphqhPF7etn/3KtE23voDPop\niGuFgz0BHwXpWQA0ebrIW7GAhckiwZ6OLt774S/JNlqwWdKo6WilPDsPTyiAQVFwpdlIqCqtvd0U\nZWRzoKkeh8WKogj84SCGDBd2cxqJWBwlFMFkMJKXDLNv83rIsNkxJz01jnW3k2Y0k5vc3uHz0BMI\n4LRa6U23kh9USbfaae3tQQjIsDnoCvgocGcipaSxpxODyUihMwN/JESPGiN/yQXYy4sJvrBRc5tE\nG4k3u02IhnYUBJF4lGyHGyEEbTLKBZ++kQO/fw6LCk6rHdflS5hz2dnZYaWUbH3yecIHa1CNRkqv\nXcXUfpkbJzL1DTV8+9f3Ekp4AJiWu5hj7UeIoOVYl1Jy39rvsfZjNxMKh/j7+j/hD3lYNm8N82ae\nPsHU/d+/Bk+kObV+y/Iv8snrHhiZDzNC6CNvnWHFke5m2ec0D483Hv4RNrOFdl9vSnEDFKVn0dbT\nl4m/o7oWS0Jis2v2WlVKOvxaoQSryUxVewsJVWV6nmYPzndnEIiGMSgKBsVIRlzBblDoCoRQEWAY\n+EweV9wASJFS3AA5znSaerqxmEy4PWEafL3YC7RCCcFImJ5ggIKkTVwIQXFGNvVZZhI5+VgNgpmr\nlqTKsr235zDW2jaMQuFYdwdKj6AkMwdvOIgvHKTT7yUQi7Do3tvo2VtJab/J166te+EslbcQgmWf\n/njKh3kih3hX7N/K+3vfxJHm4pYr7mFSyWS+e9+veK/iDWxmG5dcdDVf/sm1GJK3UghBb1B7hn70\n2DfY16iF779d8RzfuvtXpx1F33/jQzzy1+/gj/Qwt/RibrzsUyP6+XTOH115jyZJ17DjxRmOu7uF\n4zHKLl6Y2paW0Zcov8vvJd+dgcOSpo1ePV1YjEZsZktKOXUHfUzL7fO4rGxvojvgI8+VgdFgoM3b\ngyUYwG210Rv0p0bhANJuwRPyk27VXPki8RjZTheqKilwZ1DgzqCmoxWr2UwgGsaWlON437FEglBn\nNx0xyczr1wyop5lRkEfbgRpUKSnNzMETCtDu9ZBmNjMtr4iYGqe3JJNpSxeys3bgvLVQzj0cfqJn\nxDtYuZfv/+ZBYokIQgjWf/ASf/zROqZMmsGUSX0l9C4ou4QDTZsAsCgOFs5aQTQaZXf1JgzJPFdx\nwlQcfv+0ynvJhat4fN5beH1eMtIHJ0zTGX/olXRGkbLrL6Mr6CPX6aayrRl/JIwnHMS4dDZpioEN\n//5zNnz7JzRtrcA4pxxvJEhcVVNBPUIIEALzghmYZ5XRGfTR0NOJOOHtzZVmY0Z+MQZFoamnA5vZ\nQoevl63Vh7FZ0jja2kiLp5tqbycrvnoveTevocHbTZvXQ5vXQzASoTQrJ3W+yTn5KEJhWl4R3mCA\no22N2gRtPM6+xlqmSiv5vjj1v/87Tf0rvRsUsh0ucp2aeSSeSKBKFVeaZoM2KUaMrZoZoOxjS/Db\nNKUbEipFa5aN5K0Y12zf+y7hSCi17ok08+bGwTk3vvG5H3Hbyq9wzaK7+c69v2Jq2UwCQR9K3EzQ\nG0WqEikl6Y4zy8NiMBh0xT2BmNhDlAnGjCULyC4v5cDWnUwvXIHL7SYvLx+b3caGH/yMTNUABguy\nqhXn6ovIu/Zy9r60Dpr7/JOdxfmsvOdOQEsC9fbPfkf7nkMDRvIJVRu1O9OspFsdtPt6cdvsZLk0\nl7Dp+Zo7XzQe4/AH21hx6w34KusxV7fS7OnGbbOTUBN4wyGcaVbiiQRGRaHFmCB91lS6DhzlYPMx\ncl1uSrNy8EfCZNgcuC1WKn75Z47NmMy8269j8vJF7DpQhdMTIqImUCfnk+jspX9iD2HSHsGsgnwu\n+tJnaK1voDgni6zcvh+PruZWql7dQCIQwjmzjHlXXTqi92msEQkjBqOS8sWORRJUNxxCC1zuw5pm\n5RNX35ta7+nt5lv/cx/CHsaGmUB3giuW3TKokLHOhwNdeY8yWTnZrLruqgFt0WgUEYqkCjUIIUj4\ng2QX5nPxp29h5xPPET/WCk4bU2/oizbcvX4j5pYeFkyaQmNPB/GESiyRoDynL82qRBJNxMmwOYgl\n4jjTrKltZqOJhu37OJKfT9QfpDXqR1HjpFtd1Hd3UJyeRZfPS1s0yKX/8nkKJ2kRoC988z8ot7hS\n52nz9uUnMasSW1M3W3//DGu+dh9LvvQZmqtrsTocLCkpwtfjYfdjz+LoDRJSJCVrV6eOtTnsTJ4z\nc9A1O/jUi7i8Wqh39P29VKa7BpSQ+7CxdMHHeLHi0dS6yWLAbD59vu8tu9+h3d+XrMqWoXD9qk+d\nkaulzvAghFgL/D+08ha/lVL+50j1pSvvcYDZbMY0uQiaNCUYQqV0thZoYbXbueSLnyUWiw1wnets\naqHjzc0UOjX7dUlmLo09ndT5unD77WQ7XbT7PHiCAS4smUwoFiESjxL0RlIRnqFYlN6AH+8bm3Eo\nBhxmBw3GKE2ebqYlJ0Pz3BnEvAzI+52enws9fflJEqqKKlXavb24k/ml4/WtNByqpGTWNMpm9dlp\nnRnpLP/aPdRV1WCPx4l4/RxY9y5Z08rILxuc0S6RSGijdbP2o2MUBkInJKr6sFFaVIbdkEFQ1UxK\nMiFYMOfi0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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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }