{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "*This notebook contains an excerpt from the [Python Data Science Handbook](http://shop.oreilly.com/product/0636920034919.do) by Jake VanderPlas; the content is available [on GitHub](https://github.com/jakevdp/PythonDataScienceHandbook).*\n", "\n", "*The text is released under the [CC-BY-NC-ND license](https://creativecommons.org/licenses/by-nc-nd/3.0/us/legalcode), and code is released under the [MIT license](https://opensource.org/licenses/MIT). If you find this content useful, please consider supporting the work by [buying the book](http://shop.oreilly.com/product/0636920034919.do)!*" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "\"Open\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# PCA Workshop" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Up until now, we have been looking in depth at supervised learning estimators: those estimators that predict labels based on labeled training data.\n", "Here we begin looking at several unsupervised estimators, which can highlight interesting aspects of the data without reference to any known labels.\n", "\n", "In this section, we explore what is perhaps one of the most broadly used of unsupervised algorithms, principal component analysis (PCA).\n", "PCA is fundamentally a dimensionality reduction algorithm, but it can also be useful as a tool for visualization, for noise filtering, for feature extraction and engineering, and much more.\n", "After a brief conceptual discussion of the PCA algorithm, we will see a couple examples of these further applications.\n", "\n", "We begin with the standard imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Introducing Principal Component Analysis\n", "\n", "Principal component analysis is a fast and flexible unsupervised method for dimensionality reduction in data, which we saw briefly in [Introducing Scikit-Learn](05.02-Introducing-Scikit-Learn.ipynb).\n", "Its behavior is easiest to visualize by looking at a two-dimensional dataset.\n", "Consider the following 200 points:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(1)\n", "X = np.dot(rng.rand(2, 2), rng.randn(2, 200)).T\n", "plt.scatter(X[:, 0], X[:, 1])\n", "plt.axis('equal');" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "By eye, it is clear that there is a nearly linear relationship between the x and y variables.\n", "This is reminiscent of the regression problem but the problem setting here is different: rather than attempting to *predict* the y values from the x values, the unsupervised learning problem attempts to learn about the *relationship* between the x and y values.\n", "\n", "In principal component analysis, this relationship is quantified by finding a list of the *principal axes* in the data, and using those axes to describe the dataset.\n", "Using Scikit-Learn's ``PCA`` estimator, we can compute this as follows:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "PCA(n_components=2)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.decomposition import PCA\n", "pca = PCA(n_components=2)\n", "pca.fit(X)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The fit learns some quantities from the data, most importantly the \"components\" and \"explained variance\":" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[-0.94446029 -0.32862557]\n", " [-0.32862557 0.94446029]]\n" ] } ], "source": [ "print(pca.components_)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.7625315 0.0184779]\n" ] } ], "source": [ "print(pca.explained_variance_)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "To see what these numbers mean, let's visualize them as vectors over the input data, using the \"components\" to define the direction of the vector, and the \"explained variance\" to define the squared-length of the vector:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def draw_vector(v0, v1, ax=None, color='black'):\n", " ax = ax or plt.gca()\n", " arrowprops=dict(arrowstyle='->',\n", " linewidth=2,\n", " shrinkA=0, shrinkB=0, color=color)\n", " ax.annotate('', v1, v0, arrowprops=arrowprops)\n", "\n", "# plot data\n", "plt.scatter(X[:, 0], X[:, 1], alpha=0.2)\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " v = vector * 3 * np.sqrt(length)\n", " draw_vector(pca.mean_, pca.mean_ + v)\n", "plt.axis('equal');" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "These vectors represent the *principal axes* of the data, and the length of the vector is an indication of how \"important\" that axis is in describing the distribution of the data—more precisely, it is a measure of the variance of the data when projected onto that axis.\n", "The projection of each data point onto the principal axes are the \"principal components\" of the data.\n", "\n", "If we plot these principal components beside the original data, we see the plots shown here:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "rng = np.random.RandomState(1)\n", "X = np.dot(rng.rand(2, 2), rng.randn(2, 200)).T\n", "pca = PCA(n_components=2, whiten=True)\n", "pca.fit(X)\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(16, 6))\n", "fig.subplots_adjust(left=0.0625, right=0.95, wspace=0.1)\n", "\n", "# plot data\n", "ax[0].scatter(X[:, 0], X[:, 1], alpha=0.2)\n", "for length, vector in zip(pca.explained_variance_, pca.components_):\n", " v = vector * 3 * np.sqrt(length)\n", " draw_vector(pca.mean_, pca.mean_ + v, ax=ax[0])\n", "ax[0].axis('equal');\n", "ax[0].set(xlabel='x_1', ylabel='x_2', title='input')\n", "\n", "# plot principal components\n", "X_pca = pca.transform(X)\n", "ax[1].scatter(X_pca[:, 0], X_pca[:, 1], alpha=0.2)\n", "draw_vector([0, 0], [0, 3], ax=ax[1])\n", "draw_vector([0, 0], [3, 0], ax=ax[1])\n", "ax[1].axis('equal')\n", "ax[1].set(xlabel='component 1', ylabel='component 2',\n", " title='principal components',\n", " xlim=(-5, 5), ylim=(-3, 3.1))\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This transformation from data axes to principal axes is an *affine transformation*, which basically means it is composed of a translation, rotation, and uniform scaling.\n", "\n", "While this algorithm to find principal components may seem like just a mathematical curiosity, it turns out to have very far-reaching applications in the world of machine learning and data exploration." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### PCA as dimensionality reduction\n", "\n", "Using PCA for dimensionality reduction involves zeroing out one or more of the smallest principal components, resulting in a lower-dimensional projection of the data that preserves the maximal data variance.\n", "\n", "Here is an example of using PCA as a dimensionality reduction transform:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "original shape: (200, 2)\n", "transformed shape: (200, 1)\n" ] } ], "source": [ "pca = PCA(n_components=1)\n", "pca.fit(X)\n", "X_pca = pca.transform(X)\n", "print(\"original shape: \", X.shape)\n", "print(\"transformed shape:\", X_pca.shape)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The transformed data has been reduced to a single dimension.\n", "To understand the effect of this dimensionality reduction, we can perform the inverse transform of this reduced data and plot it along with the original data:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_new = pca.inverse_transform(X_pca)\n", "plt.scatter(X[:, 0], X[:, 1], alpha=0.2)\n", "plt.scatter(X_new[:, 0], X_new[:, 1], alpha=0.8)\n", "plt.axis('equal');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The light points are the original data, while the dark points are the projected version.\n", "This makes clear what a PCA dimensionality reduction means: the information along the least important principal axis or axes is removed, leaving only the component(s) of the data with the highest variance.\n", "The fraction of variance that is cut out (proportional to the spread of points about the line formed in this figure) is roughly a measure of how much \"information\" is discarded in this reduction of dimensionality.\n", "\n", "This reduced-dimension dataset is in some senses \"good enough\" to encode the most important relationships between the points: despite reducing the dimension of the data by 50%, the overall relationship between the data points are mostly preserved." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### PCA for visualization: Hand-written digits\n", "\n", "The usefulness of the dimensionality reduction may not be entirely apparent in only two dimensions, but becomes much more clear when looking at high-dimensional data.\n", "To see this, let's take a quick look at the application of PCA to the digits data we saw in [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb).\n", "\n", "We start by loading the data:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "(1797, 64)" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_digits\n", "digits = load_digits()\n", "digits.data.shape" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Recall that the data consists of 8×8 pixel images, meaning that they are 64-dimensional.\n", "To gain some intuition into the relationships between these points, we can use PCA to project them to a more manageable number of dimensions, say two:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1797, 64)\n", "(1797, 2)\n" ] } ], "source": [ "pca = PCA(2) # project from 64 to 2 dimensions\n", "projected = pca.fit_transform(digits.data)\n", "print(digits.data.shape)\n", "print(projected.shape)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We can now plot the first two principal components of each point to learn about the data:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.colors import Colormap\n", "\n", "plt.scatter(projected[:, 0], projected[:, 1], c=digits.target, edgecolor='none', alpha=0.5, cmap=plt.cm.Spectral)\n", "plt.xlabel('component 1')\n", "plt.ylabel('component 2')\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Recall what these components mean: the full data is a 64-dimensional point cloud, and these points are the projection of each data point along the directions with the largest variance.\n", "Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits in two dimensions, and have done this in an unsupervised manner—that is, without reference to the labels." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### What do the components mean?\n", "\n", "We can go a bit further here, and begin to ask what the reduced dimensions *mean*.\n", "This meaning can be understood in terms of combinations of basis vectors.\n", "For example, each image in the training set is defined by a collection of 64 pixel values, which we will call the vector $x$:\n", "\n", "$$\n", "x = [x_1, x_2, x_3 \\cdots x_{64}]\n", "$$\n", "\n", "One way we can think about this is in terms of a pixel basis.\n", "That is, to construct the image, we multiply each element of the vector by the pixel it describes, and then add the results together to build the image:\n", "\n", "$$\n", "{\\rm image}(x) = x_1 \\cdot{\\rm (pixel~1)} + x_2 \\cdot{\\rm (pixel~2)} + x_3 \\cdot{\\rm (pixel~3)} \\cdots x_{64} \\cdot{\\rm (pixel~64)}\n", "$$\n", "\n", "One way we might imagine reducing the dimension of this data is to zero out all but a few of these basis vectors.\n", "For example, if we use only the first eight pixels, we get an eight-dimensional projection of the data, but it is not very reflective of the whole image: we've thrown out nearly 90% of the pixels!" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_pca_components(x, coefficients=None, mean=0, components=None,\n", " imshape=(8, 8), n_components=8, fontsize=12,\n", " show_mean=True):\n", " if coefficients is None:\n", " coefficients = x\n", " \n", " if components is None:\n", " components = np.eye(len(coefficients), len(x))\n", " \n", " mean = np.zeros_like(x) + mean\n", " \n", "\n", " fig = plt.figure(figsize=(1.2 * (5 + n_components), 1.2 * 2))\n", " g = plt.GridSpec(2, 4 + bool(show_mean) + n_components, hspace=0.3)\n", "\n", " def show(i, j, x, title=None):\n", " ax = fig.add_subplot(g[i, j], xticks=[], yticks=[])\n", " ax.imshow(x.reshape(imshape), interpolation='nearest')\n", " if title:\n", " ax.set_title(title, fontsize=fontsize)\n", "\n", " show(slice(2), slice(2), x, \"True\")\n", " \n", " approx = mean.copy()\n", " \n", " counter = 2\n", " if show_mean:\n", " show(0, 2, np.zeros_like(x) + mean, r'$\\mu$')\n", " show(1, 2, approx, r'$1 \\cdot \\mu$')\n", " counter += 1\n", "\n", " for i in range(n_components):\n", " approx = approx + coefficients[i] * components[i]\n", " show(0, i + counter, components[i], r'$c_{0}$'.format(i + 1))\n", " show(1, i + counter, approx,\n", " r\"${0:.2f} \\cdot c_{1}$\".format(coefficients[i], i + 1))\n", " if show_mean or i > 0:\n", " plt.gca().text(0, 1.05, '$+$', ha='right', va='bottom',\n", " transform=plt.gca().transAxes, fontsize=fontsize)\n", "\n", " show(slice(2), slice(-2, None), approx, \"Approx\")\n", " return fig\n", "\n", "from sklearn.datasets import load_digits\n", "\n", "digits = load_digits()\n", "sns.set_style('white')\n", "\n", "fig = plot_pca_components(digits.data[10],\n", " show_mean=False)\n" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The upper row of panels shows the individual pixels, and the lower row shows the cumulative contribution of these pixels to the construction of the image.\n", "Using only eight of the pixel-basis components, we can only construct a small portion of the 64-pixel image.\n", "Were we to continue this sequence and use all 64 pixels, we would recover the original image." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "But the pixel-wise representation is not the only choice of basis. We can also use other basis functions, which each contain some pre-defined contribution from each pixel, and write something like\n", "\n", "$$\n", "image(x) = {\\rm mean} + x_1 \\cdot{\\rm (basis~1)} + x_2 \\cdot{\\rm (basis~2)} + x_3 \\cdot{\\rm (basis~3)} \\cdots\n", "$$\n", "\n", "PCA can be thought of as a process of choosing optimal basis functions, such that adding together just the first few of them is enough to suitably reconstruct the bulk of the elements in the dataset.\n", "The principal components, which act as the low-dimensional representation of our data, are simply the coefficients that multiply each of the elements in this series.\n", "This figure shows a similar depiction of reconstructing this digit using the mean plus the first eight PCA basis functions:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = PCA(n_components=8)\n", "Xproj = pca.fit_transform(digits.data)\n", "sns.set_style('white')\n", "fig = plot_pca_components(digits.data[10], Xproj[10],\n", " pca.mean_, pca.components_)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Unlike the pixel basis, the PCA basis allows us to recover the salient features of the input image with just a mean plus eight components!\n", "The amount of each pixel in each component is the corollary of the orientation of the vector in our two-dimensional example.\n", "This is the sense in which PCA provides a low-dimensional representation of the data: it discovers a set of basis functions that are more efficient than the native pixel-basis of the input data." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "### Choosing the number of components\n", "\n", "A vital part of using PCA in practice is the ability to estimate how many components are needed to describe the data.\n", "This can be determined by looking at the cumulative *explained variance ratio* as a function of the number of components:" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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xAICWznJMfbEjOrrb6bgyIiKqiOjJEk1MTPD666/j9ddf12Y9RA3S1ahU/HfnJaRm5EMqAUJ6t8HL/T25xAURUT0mKgSVlJSgoKBA3R/o33JycmBiYgIDA67KQY1bYbESWyNu4H/HYwCULnMxd/QzaNfKVseVERHR04ganrJ06VKEhoZWun/06NFYsWKF6KKIGoK7cRmY8+nv6gD0fEBLrH6jNwMQEVEDIaqp5sSJExg2bFil+/v374///e9/YmsiqtdUKgE/HYvC1oibUKoE2MiNMXNkZ/h6Oeq6NCIiqgZRISglJQWOjpX/g+/g4IDk5GTRRRHVVxnZBfj0uz9x+U4qACDQ2wWvD/eB3JzD3omIGhpRIcja2hr37t2rdH90dHSl/YWIGqoLN5Px+c5LyMwphJGhDFOHdUQ/v+bqObKIiKhhERWCevbsiZ07d2LIkCFo166dxr7r169j165deP7557VSIJGuFZcosTXiJn46Fg2gdOj722N90czRUseVERFRTYgKQbNnz8aJEycwYsQIBAcHo3Xr1gCAu3fv4ujRo7CxscHs2bO1WiiRLsSn5uDjbRcQ/TALADA4sBUmDmkPI0MOfSciauhEhSBHR0fs3r0bn3zyCQ4fPoyDBw8CACwsLDBkyBDMnTv3iX2GiBqCU1cS8Pn3fyK/UAlLM0PMGtUZ/h24Jh4RUWMheiIfBwcHrFy5EoIgID09HQBgY2PD/hHU4JUoVdjy2w3146/2brZ4c0wX2Fmb6rgyIiLSphrPZiiRSGBry3lRqHFIzy7AqvALuB6TBgAIebY1xg30gkzGFd+JiBob0SEoKysLv/76Kx4+fIisrCwIgqCxXyKRYNmyZTUukKiuXI9Jw8qt55GhKISpsQHmhHZGd28XXZdFRES1RPRkibNmzUJ+fj4sLCwgl8vLHcPHYtRQCIKAn4/H4Ntfr0OlEtDcyRILx3dFUweO/iIiasxEhaCVK1fC3t4ea9asgaenp7ZrIqoz+YUlWP39JZy8kgAACOrsipkjOsHEmOveERE1dqL+pY+NjcXbb7/NAEQNWlJaLj769g/cT8yGTCrBq0M7YFBgK7ZiEhHpCVEhqGXLlsjNzdV2LUR15sqdVKwMPw9FXjGaWBpjwfiuXPiUiEjPiBryMnv2bOzYsQMPHz7Udj1Etaq0/080Fn1zBoq8YrRpZo3P5vZiACIi0kOiWoLOnj0LGxsbDBw4EN27d4ezszNksvIz6L733ns1LpBIW4qKlfjyxys4ciEOABDs2wxhw304+zMRkZ4SFYK2bdum/vz333+v8BiJRMIQRPVGWlY+Pvr2D9yNy4RUKsHkIe0xpKcb+/8QEekxUSHo1q1b2q6DqNZEPczEfzacRYaiEJZmhpg/tit8POx1XRYREekYxwFTo3Y7Nh0frD+D3IIStHSW492J3eBka67rsoiIqB5gCKJG68a9NHz4zVnkF5agXSsbfPCqP8xMDHVdFhER1ROiQ9CxY8ewefNm3LhxAwqFotyyGQBw8+bNGhVHJNZf0Y+weMNZFBQp0dHdDu9P9oMpJ0AkIqJ/EDVEfv/+/Zg+fToePXqEgQMHQqVSYdCgQRg4cCBMTEzg6emJsLAwUQVFR0dj4sSJ6NSpEwIDA7Fq1SoUFRU99byMjAwsWrQIzz77LDp16oTBgwfju+++E1UDNWxX7qbiw8cBqFMbeyx6lQGIiIjKE/Wb4euvv4a3tzd27NiBrKwsfPfdd3jppZcQEBCAhw8fYtSoUWjatGm1r5uVlYXx48ejZcuWWLNmDZKTk7FixQoUFBRg0aJFTzx39uzZiImJwbx58+Ds7Izjx4/jww8/hEwmw8iRI8V8mdQA/Xk7BR9tOoeiEhWeaeuAdyZ0gzGHwBMRUQVEhaDo6GjMmzcPMpkMBgallygpKQEANG3aFKNHj8Y333yDYcOGVeu6O3fuRG5uLr744gtYW1sDAJRKJRYvXoxp06bB0dGxwvNSU1Nx7tw5LF++HCEhIQCAgIAAXLt2Db/99htDkJ44fyMJyzafR4lSha7tHLFwfFcYGjAAERFRxUQ9DjMxMYGhYWkHU7lcDiMjI6Smpqr329nZiZpN+vjx4wgICFAHIAAYMGAAVCoVTp06Vel5ZQHM0lJz1W8LC4sK+ypR43Pur0Qs2/wHSpQqBHR0xsLx3RiAiIjoiUSFoFatWiE6Olr92svLCz///DNKSkpQWFiIX3/9Fc7OztW+bkxMDNzc3DS2yeVy2NvbIyYmptLznJ2d0aNHD6xbtw5RUVHIyclBREQETp06hTFjxlS7DmpY/riehBVbz6NEKSDQxwVvj/WFoYGob20iItIjon5T9O3bF4cPH1Z3WJ4+fTr++OMPdO3aFf7+/rhw4QKmTp1a7etmZ2dDLpeX225lZYWsrKwnnrtmzRrY2dlh0KBB6NKlC958800sXLgQ/fv3r3Yd1HD8cSMJy7f8gRKlgB4+LnhrTBcYyBiAiIjo6UT1CZo8eTImT56sft27d2+Eh4fjwIEDkMlk6NWrF/z9/bVW5NMIgoCFCxfi/v37+OSTT2Bvb4/Tp09j2bJlsLKywqBBg+qsFqo7528kYfnmv1uA3hzTBTIGICIiqiKtjRv29fWFr69vja4hl8uhUCjKbc/KyoKVlVWl5/3+++/Yt28f/ve//8HT0xMA4Ofnh7S0NKxYsYIhqBG6cDNZ3Qk60JsBiIiIqq9e/dZwc3Mr1/dHoVAgNTW1XF+hf4qKioJMJoOHh4fGdi8vL6SkpCA/P79W6iXduHAzGR99W9oJuru3M958hY/AiIio+qrUEhQcHAypVIrIyEgYGhoiODj4qatvSyQSHDp0qFrFBAUFYd26dRp9g/bt2wepVIrAwMBKz3N1dYVSqcTt27fRtm1b9fbr16/D1tYWpqam1aqD6q+Lt5I1RoG99YovAxAREYlSpRDUrVs3SCQSSKVSjdfaFhoaivDwcISFhWHatGlITk7GqlWrEBoaqjFH0Pjx45GQkICDBw8CKA1PLi4umDVrFsLCwuDg4ICTJ09i7969mDlzptbrJN24dDsFH337B4pLSgPQ22MZgIiISDyJUM8m0omOjsaSJUtw6dIlmJubY+jQoZg7dy6MjIzUx4wdOxbx8fE4cuSIeltsbCw+++wzXLx4EQqFAk2bNsWIESPwyiuvQCar/nwxffr0AQAcPny45l8U1VhcsgJvfH4c+YUl8O/ghLfHduUweCIiKqc6v7+rHYLy8/Px1ltvoV+/fnjhhRfEVdgAMATVH3kFxXjj8+N4mJKD9m62WDKtOwMQERFVqDq/v6v9m8TU1BSnT59GQUFB9SsjqiaVSsBn3/2Jhyk5sLUywfxxnAiRiIi0Q9Rvky5duuDSpUvaroWonB8O38HZv5JgIJPinQnd0MTSRNclERFRIyEqBC1atAgXL17EZ599hqSkJG3XRASgdDLE7ftvAQBef8kbHs2b6LgiIiJqTERNlvjCCy9AqVRi/fr1WL9+PWQymUbHZaB0iPzFixe1UiTpn/jUHPzf9osQBGBg95bo69dC1yUREVEjIyoE9e/fv1aGyBMBpR2hP/r2D+QVlMCrpQ1eHdpR1yUREVEjJCoErVixQtt1EAEoXQfuvzsvIS5ZARu5CRaO51B4IiKqHfztQvXKj0fu4sy1RBjIpFg4oSuayNkRmoiIakeNFlBNSkrCjRs3oFAoUNF0Q8OGDavJ5UnPXLmTivDImwCA6SHeaNvCRscVERFRYyYqBBUWFmL+/Pk4cOAAVCoVJBKJOgT9s68QQxBVVVpWvrojdN9uzdHfnx2hiYiodol6HPbpp5/i4MGDmDNnDsLDwyEIAlasWIFNmzYhKCgIbdu2xc8//6ztWqmRKlGqsCr8AjJzCtHKRY5pId66LomIiPSAqBC0f/9+hISEYOrUqWjdujUAwNHREd27d8fXX38NS0tLbN++XauFUuO1NeImbtxLh5mJARaM7wpjw+qv9UZERFRdokJQWloavL1L/7duYlLacTU/P1+9v3///uoV3ome5My1ROz9PQoAMHtUZ7jYWei4IiIi0heiQpCdnR0yMjIAlK4lZmVlhXv37qn35+TkoLCwUDsVUqOV+CgXn+/8EwAwNMgd3b1ddFwRERHpE1Edo729vfHnn3+qX/fu3RsbN26Evb09VCoVNm/ejE6dOmmrRmqECouVWLHlPHIfT4g4YXA7XZdERER6RlQIGjt2LPbt24eioiIYGRlh9uzZuHTpEt5++20AQPPmzfHuu+9qtVBqXL756RpiErIgNzfC22N9YSDjlFVERFS3RIUgX19f+Pr6ql87OzsjMjISd+7cgVQqhZubGwwMajQFETViRy48wP6zsZBIgDfGdIGdtamuSyIiIj0kKqkoFApYWlpqbJNKpWjbtq1WiqLGKyUjD1/tvgoACO3riWc8HXRcERER6StRzyACAgLw2muv4ZdffkFubq62a6JGbNP/rqOwSIl2rWwwqq+nrsshIiI9JioETZw4EVFRUXjrrbfQvXt3zJo1C5GRkSgoKNB2fdSIXLmTilNXEyCVlC6LIZNKnn4SERFRLRH1OOyNN97AG2+8gatXryIyMhL79+/HgQMHYGpqit69e2PgwIEICgqCkZGRtuulBqpEqcL6n68BAAZ0b4VWLlY6roiIiPRdjXove3t7w9vbG/Pnz8elS5cQERGB/fv3IzIyEhYWFjh//ry26qQGLuLUPTxIUsDSzAhjnmffMSIi0j2tDeHq3LkzmjRpAisrK3z77bfIycnR1qWpgctUFGLH/lsAgHEDvWBpxhZCIiLSvRqHoLi4OERGRiIyMhK3bt2CVCqFn58fBgwYoI36qBHYGnEDuQUlcG9qhb5+XB2eiIjqB1EhKDExEZGRkYiIiMD169chkUjQpUsXLFq0CP3794eNjY2266QG6s6DDBw6/wAAMG0YO0MTEVH9ISoE9e7dGxKJBD4+Pli4cCGef/55ODhwvhfSpFIJ+HrvVQgC0LtLU3i1YjgmIqL6Q1QIevvttzFgwAA4Oztrux5qRI5ciMOdB5kwNTbAhMHtdV0OERGRBlEhaNKkSdqugxqZ3PxibPntBoDSmaFt5CY6roiIiEgTV62kWvHdgdvIzCmEq70FhvR003U5RERE5TAEkdY9TFHg15MxAICpwzrC0IDfZkREVP/wtxNp3daIm1CqBHRr54Rn2rLDPBER1U8MQaRVt+6n48y1REglwPhBXrouh4iIqFIMQaQ1giDg21+vAwCe69YCzZ3kOq6IiIioclUaHZaQkCDq4i4uLqLOo4bp/I1k3LiXDiMDKV7u76nrcoiIiJ6oSiEoODgYEkn1Z/q9efNmtc+hhkmpVGHz4yHxLwS5w9bKVMcVERERPVmVQtCyZcs0QpBKpcLWrVuRkJCAIUOGoFWrVgCAmJgY/Prrr3B1dcXYsWNrp2Kql45ciENcsgKWZoZ4KbiNrsshIiJ6qiqFoJCQEI3Xa9euRWFhIQ4cOIAmTZpo7Js5cyZGjx6NR48eaa9KqtcKi5XY/niV+JHPecDC1FDHFRERET2dqI7RO3fuxKhRo8oFIACwsbHByJEj8d1339W4OGoYfjkRg7SsAjg0McWgwFa6LoeIiKhKRIWgzMxM5OfnV7o/Pz8fmZmZYmuiBkSRV4QfD98BAIx53guGBjIdV0RERFQ1okKQj48PtmzZgr/++qvcvmvXriE8PBze3t41Lo7qv12H7iC3oAQtneXo9UxTXZdDRERUZaIWUF20aBHGjh2LESNGwMfHBy1btgQA3L9/H1euXIGVlRXef/99bdZJ9VBKeh5+PXkPADBhcDvIpNUfQUhERKQrokJQ69at8csvv2D9+vU4fvw4IiIiAJTOCzRu3Di8+uqrsLe312qhVP9s338LJUoVvFvb4RlPLo9BREQNi6gQBAB2dnZ455138M4772izHmog7idm4+jFOADA+EHtRM0jRUREpEs1XjYjJSUFt27dQl5enjbqoQbiuwO3IAhAoI8LPJqXHyVIRERU34kOQYcOHcLzzz+PXr164cUXX8SVK1cAAOnp6Rg2bBgOHTqktSKpfrmfmI3TVxMhkQCj+3F5DCIiaphEhaAjR45g5syZaNKkCcLCwiAIgnqfjY0NHB0dsXv3bq0VSfXLzoO3AQDdvV3QgoukEhFRAyUqBH355Zfw9fXFd999hzFjxpTb36lTJ64b1kjFJmXj9NXSBXVD+7IViIiIGi5RIeju3bsYMGBApfvt7OyQlpYmuiiqv3YdvANBALp7O6OlM1uBiIio4RIVgkxNTZ84Y3RcXBysra3F1kT1VFyyAieuxANgKxARETV8okKQn58ffvrpJ5SUlJTbl5qail27dqFHjx41Lo7ql+8ftwL5d3BCKxcrXZdDRERUI6JC0Jw5c5CUlIThw4fj+++/h0QiwcmTJ/HZZ59hyJAhEAQBYWFh2q6VdOhhigInLj8EwFYgIiJqHESFIDc3N+zYsQPW1tb4/PPPIQgCNm7ciK+//hoeHh7YsWMHmjblOlKNya5Dd6ASAL/2TnBvaq3rcoiIiGpM9IzRbdq0webNm5GVlYXY2FgIgoBmzZrBxsZGm/VRPZCQmoNjf7IViIiIGhfRIaiMlZUVV4xv5L5/3Ark6+WI1s2sdV0OERGRVogOQUqlEidPnkRcXByysrI0JkwEAIlEwn5BjUDio1z8/rgViLNDExFRYyIqBF27dg2zZs1CUlJSufBThiGocfjh8B2oVAK6tHXgGmFERNSoiApBixcvRkFBgXrmaLmck+Y1RklpuThyoXSl+FC2AhERUSMjKgTdvn0bc+fORXBwsLbroXpk7+9RUKoEdPawR9sW7PBORESNi6gh8k5OTpU+BqPGIa+gGEcvlrYCvdS7jY6rISIi0j5RIWjKlCnYtWsXcnJytF0P1RNHLsQhv1CJZo4W8G5jp+tyiIiItE7U47Dc3FyYm5ujb9++GDRoEJycnCCTyTSOkUgkmDBhgjZqpDomCAJ+O3UPADCoeytIJBIdV0RERKR9okLQypUr1Z9v27atwmMYghquq3cf4WFKDkyNDdDbt5muyyEiIqoVokLQ4cOHtV0H1SO/nooBAAT7NoOZiaGOqyEiIqodokKQq6urtuugeiIlIw9/XE8CAAwKbKXjaoiIiGqPqI7R1HjtO3MfKgHwbm2HZo6Wui6HiIio1lSpJSg4OBhSqRSRkZEwNDREcHDwUzvLSiQSHDp0SCtFUt0oKlZi/9lYAMDgHmwFIiKixq1KIahbt26QSCSQSqUar6lxOXklAdm5RbCzNkW3dk66LoeIiKhWVSkErVix4omvtSk6OhpLly7FpUuXYG5ujqFDh2LOnDkwMjJ66rnJycn49NNPcezYMeTl5cHV1RWvvfYaXnjhhVqrtzH57XGH6AEBLSGT8UkpERE1bqJXka8NWVlZGD9+PFq2bIk1a9YgOTkZK1asQEFBARYtWvTEc1NSUjBq1Ci0atUKS5YsgYWFBe7evYuioqI6qr5hu/MgA3ceZMJAJkU/vxa6LoeIiKjW1SgEFRcXIyYmBgqFosJlNLp27Vqt6+3cuRO5ubn44osvYG1tDQBQKpVYvHgxpk2bBkdHx0rP/fjjj+Hk5IQNGzaoJ24MCAio1vvrs7LJEXt0coG1pbGOqyEiIqp9okKQSqXCJ598gh07dqCgoKDS427evFmt6x4/fhwBAQHqAAQAAwYMwAcffIBTp04hJCSkwvNycnIQGRmJZcuWlZu5mp4uK6cQJy7HAwAGc1g8ERHpCVEdP9atW4eNGzfihRdewMqVKyEIAt544w0sXrwYnp6eaNu2LTZu3Fjt68bExMDNzU1jm1wuh729PWJiYio97/r16yguLoaBgQFeeeUVtG/fHoGBgfj4449RXFxc7Tr0zcE/HqC4RIXWTa3g0byJrsshIiKqE6JC0N69ezFgwAAsXrwYPXv2BAC0b98eI0eOxK5duyCRSHD27NlqXzc7OxtyubzcdisrK2RlZVV63qNHjwAA7733Hjp06ICNGzdi/Pjx2LJlC1avXl3tOvSJUiUg8vTjdcIC3Tjqj4iI9IaoEJSUlAR/f38AUI/aKuuAbGRkhBdeeAE///yzlkp8OpVKBQDo3r07FixYAH9/f0ydOhWTJ0/G5s2bn/jITt9duJGElIx8WJoZomdnzgRORET6Q1QIsra2Rl5eHgDA3NwcFhYWiIuL0zgmOzu72teVy+VQKBTltmdlZcHKyuqJ5wFQB7MyAQEBKCoqQmxsbLVr0ReRZ+4DAPr5tYCxIftTERGR/hDVMbpdu3a4du2a+rWfnx+2bNkCLy8vCIKArVu3wtPTs9rXdXNzK9f3R6FQIDU1tVxfoX9q3br1E69bWFhY7Vr0QXp2AS7dTgEADosnIiK9I6olaOTIkSgqKlI/Aps7dy6ys7Pxyiuv4JVXXkFubi4WLFhQ7esGBQXh9OnTGq1I+/btg1QqRWBgYKXnubq6wsPDA6dPn9bYfvr0aZiYmDw1JOmr3y8+hEoAvFrawMXeQtflEBER1SlRLUF9+vRBnz591K9bt26NQ4cO4dy5c5DJZOjcubPGMPeqCg0NRXh4OMLCwjBt2jQkJydj1apVCA0N1ZgjaPz48UhISMDBgwfV2+bOnYvXX38dH330EZ599llcu3YNmzZtwuTJk2FmZibmy2zUBEHAkQsPAAC9fZvpuBoiIqK6p7UZoy0tLfHcc8/V6BpWVlbYsmULlixZgrCwMJibm2P48OGYO3euxnEqlQpKpVJjW3BwMD799FN89dVX+O677+Dg4ICZM2di6tSpNaqpsYqJz0JskgKGBlL09HHRdTlERER1rkohKCEhQdTFXVyq/8vV3d0dmzdvfuIx4eHhFW4fOHAgBg4cWO331EdHLpZ2ZO/W3gkWZk9fl42IiKixqVIICg4OFjV/THVnjKa6UaJU4fifpTNE9+GjMCIi0lNVCkHLli3jJHqNyJ+3U5CZUwhrC2N09nTQdTlEREQ6UaUQVNmaXdQwHblQ+igs6BlXGMhEDRAkIiJq8GrcMVoQBKSnpwMAbGxs2GJUz+XkFeHcX0kAgD6+zXVcDRERke6IDkFRUVFYvXo1Tpw4oV6WwsTEBD179sSMGTPg4eGhtSJJe05cSUCJUoWWznK0cim/ThsREZG+EBWCLly4gClTpkClUqFPnz5o2bIlAODevXs4cuQIjh8/jg0bNsDX11ebtZIWHH38KKx3l2ZstSMiIr0mKgQtW7YMNjY22LZtG5ydnTX2JSYmYsyYMVi+fDl2796tlSJJOxJSc3DzfjqkEuDZLk11XQ4REZFOieoVGxUVhZdffrlcAAIAZ2dnjB49GlFRUTUujrSrbG6gTp4OsJGb6LgaIiIi3RIVglxcXNTrhlWkuLgYTk5Ooosi7VOpBPWjMM4NREREJDIEhYWFITw8vMLJEG/cuIFt27Zh5syZNS6OtOf6vTSkZOTDzMQAfh3Kt+ARERHpG1F9gq5cuQJbW1uEhISgc+fOaNGiBQDg/v37uHz5Mtq0aYPLly/j8uXLGue99957NS6YxClrBQr0doGxoUzH1RAREemeqBC0bds29ed//vkn/vzzT439d+7cwZ07dzS2SSQShiAdKSgqwckrpeu/9enKuYGIiIgAkSHo1q1b2q6DatHZv5KQX1gCRxszeLW00XU5RERE9QLXTNADZY/Cgn2bQSrl3EBERESAyBC0c+fOJ+4vKCjAf/7zH1EFkXbl5BXh8t1UAMCzz3BuICIiojKiQtCHH36IyZMnIzk5udy+CxcuYMiQIdi1a1eNi6Oa++NGMlQqAS2cLOFib6HrcoiIiOoNUSHo448/xl9//YXBgwdj7969AIDCwkJ89NFHGDduHExMTPD9999rtVAS5+xfiQAAfw6LJyIi0iCqY/SQIUPg5+eH999/H++88w4iIiLw4MEDPHz4EK+++ipmzpwJQ0NDbddK1VRYrMSft1MAAP4dGYKIiIj+SfQq8g4ODlizZg1eeeUVnDhxAhKJBPPnz8eECRO0WB7VxJU7qSgsUsLO2hTurla6LoeIiKheET067ObNm3jppZdw/fp1jBkzBq1bt8bHH3+MVatWPXFJDao7Z66VPQpz4orxRERE/yIqBK1ZswYjRoxAUVERwsPD8f7772P37t2YOHEitmzZgpCQEPz111/arpWqQalU4dz1JADsD0RERFQRUSHoq6++wqhRo/Dzzz/jmWeeAQAYGRnhzTffxI4dO1BSUoLQ0FCtFkrVc/N+OhR5RbAwNUQHN1tdl0NERFTviOoT9O2338Lf37/CfT4+Pvj555/x2Wef1agwqpmzf5W2AnVr7wSZjHNiEhER/Zuo346VBaAyxsbGWLBggaiCqOYEQcCZv/7uD0RERETliW4iSEhIwKJFi9C/f39069YN58+fBwCkp6dj6dKluHHjhtaKpOq5n5iNlPQ8GBlI0dnDQdflEBER1UuiQlBUVBRefPFFREZGomnTplAoFCgpKQEA2NjY4OLFixorzVPdOvt4VFhnTweYGIueBYGIiKhRE/Ub8uOPP4alpaV6aYzu3btr7O/VqxciIyNrXh2JUtYfiKPCiIiIKieqJej8+fMYPXo0bGxsKpx/xsXFpcJ1xaj2JaXlIiYhC1IJ0LWdo67LISIiqrdEhSBBEGBiYlLp/vT0dBgZGYkuisQrmxuonZstrCyMdVwNERFR/SUqBLVr1w7Hjh2rcF9JSQl+++03+Pj41KgwEqdswdQAPgojIiJ6IlEhaOrUqThx4gQ++OAD3L17FwCQlpaG06dPY9KkSYiJicHUqVO1Wig9XVZOIW7EpAEA/BiCiIiInkhUx+hevXph+fLlWLZsmbpz9FtvvQVBEGBhYYGVK1eia9euWi2Unu78jSSoBMDNxQqONma6LoeIiKheEz1+etiwYejXrx9Onz6N+/fvQ6VSoXnz5ujRowcsLCy0WSNV0d+jwjhBIhER0dPUaBIZMzMzPPfcc9qqhWqgoLAEl26nAAD8O/JRGBER0dNwUalG4tKdFBSVqOBoY4aWznJdl0NERFTvMQQ1Emeula0V5lzh3E1ERESkiSGoEVCqBJy/UTo5JfsDERERVQ1DUCMQl6xATn4xTI1l8Gppo+tyiIiIGgSGoEbgdmwGAKBNsyaQyfhXSkREVBU1Gh2WnJyM8+fPIy0tDf3794eTkxOUSiUUCgUsLS0hk8m0VSc9wZ0HpSHIo3kTHVdCRETUcIgKQYIgYMWKFdi+fTtKSkogkUjg4eEBJycn5OXlITg4GLNmzcKECRO0XC5V5HZsOgCGICIiouoQ9exkw4YN2Lp1KyZNmoRvv/0WgiCo91laWqJfv344cOCA1oqkyuUVFONBsgIA4NmCIYiIiKiqRIWgH374AcOGDcO8efPQtm3bcvs9PT1x//79mtZGVRD1MBOCANhZm8JGbqLrcoiIiBoMUSEoMTERnTt3rnS/qakpcnJyRBdFVVfWKdqTj8KIiIiqRVQIsrW1RWJiYqX7r1+/DmdnLt1QF8o6RfNRGBERUfWICkF9+/bFzp07ERcXp95WNkvxyZMnsXfvXjz//PPaqZAqJQiCuiWInaKJiIiqR9TosFmzZuHcuXMYOnQofH19IZFI8M033+Dzzz/H5cuX4eXlhenTp2u7VvqX1Mx8ZCgKIZVK4N7UStflEBERNSiiWoIsLS2xa9cuvPrqq0hOToaxsTHOnz8PhUKBsLAw7NixA6amptqulf6l7FFYS2c5TIxqNOUTERGR3hH9m9PExASvv/46Xn/9dW3WQ9XATtFERETiiWoJ2r59O9LT07VdC1UTO0UTERGJJyoELVmyBEFBQZg4cSJ++OEHZGZmarksepoSpQpRD7MAsFM0ERGRGKJCUGRkJKZPn47U1FS8//776NGjB6ZMmYKffvqJ8wPVkfuJ2SgqVsLcxACu9ha6LoeIiKjBEdUnqFWrVpgxYwZmzJiBu3fv4rfffsO+ffuwYMECGBkZoUePHhg0aBAGDRqk7XrpsbJHYW2aN4FUKtFxNURERA2PqJagf2rTpg3mzJmDffv24aeffsL48eNx7tw5vPXWW9qojyrBTtFEREQ1U+MQVObWrVuIjIzE/v37kZubCyMjI21dmipQ1hLkwU7RREREotRocpmoqChEREQgMjIS9+/fh4GBAXr06IGZM2ciODhYWzXSv+TkF+NhSmnfK7YEERERiSMqBH355ZfYt28foqKiIJPJ4O/vj6lTp+K5556DpaWltmukfylrBXKyNYOVhbGOqyEiImqYRIWgr776Cl27dsXYsWPRt29fNGnC1oi6pH4UxlYgIiIi0USFoOPHj8PW1lbbtVAVsVM0ERFRzYnqGM0ApDuCILBTNBERkRZUqSVo7NixkEql2LhxIwwMDDBu3LinniORSLBly5YaF0iaktPzkJ1bBAOZFO6uXDmeiIhIrCo/DlOpVOrPBUF46vFVOYaq79bjR2FurnIYGsh0XA0REVHDVaUQFB4e/sTXVHfYKZqIiEg7RPUJOn/+/BNXkU9PT8f58+dFF0WVu8NO0URERFohKgSNGzcOp06dqnT/2bNnq9RviKqnuESJ6PjHK8ezUzQREVGNiApBT+vvU1RUBJmM/VW07V5CNkqUKliaGcHZ1lzX5RARETVoVe4YnZCQgPj4ePXrmJiYCh95ZWdnY+fOnXBxcRFVUHR0NJYuXYpLly7B3NwcQ4cOxZw5c6q1FtnmzZuxfPlyPPvss/j6669F1VEfqecHatEEEglXjiciIqqJKoegPXv24IsvvoBEIoFEIsG6deuwbt26cscJggCZTIbFixdXu5isrCyMHz8eLVu2xJo1a5CcnIwVK1agoKAAixYtqtI1UlNT8eWXXzbKuYzKQhA7RRMREdVclUPQgAED0KZNGwiCgDlz5mDs2LHw9fXVOEYikcDU1BReXl6ws7OrdjE7d+5Ebm4uvvjiC1hbWwMAlEolFi9ejGnTpsHR0fGp1/j4448RHByMhISEar9/fVc2MoydoomIiGquyiHI3d0d7u7uAIDly5eja9euaNq0qVaLOX78OAICAtQBCCgNXx988AFOnTqFkJCQJ55/4cIFHDp0CPv27cMbb7yh1dp0LSunEIlpuQAAj+bWui2GiIioERDVMfrFF1/UegACSvsZubm5aWyTy+Wwt7dHTEzME89VKpVYsmQJpk+fDgcHB63XpmuxSdkASleOtzCrev8oIiIiqpioBVQBoLCwEPv378eNGzegUCg0ZpQGSh+NLVu2rFrXzM7OhlwuL7fdysoKWVlZTzx3x44dyM/Px4QJE6r1ng1FfEoOAKCpg6WOKyEiImocRIWg+Ph4jBs3DvHx8ZDL5VAoFLCysoJCoYBSqUSTJk1gZmam7VorlZaWhtWrV2PlypXVGkXWkDxUhyALHVdCRETUOIh6HLZq1Srk5ORg165d2LdvHwRBwGeffYZLly7hzTffhImJCTZu3Fjt65YFqn/LysqClVXli4V+/vnn8PT0hK+vL7Kzs5GdnY2SkhKUlJSoP2/oHqYyBBEREWmTqJags2fPYvTo0fD29kZmZqZ6u5GREV599VVER0dj2bJlWL9+fbWu6+bmVq7vj0KhQGpqarm+Qv907949nD9/Hl27di23r2vXrvjmm28QFBRUrVrqm7KWIFd7hiAiIiJtEBWCCgoK4OrqCgCwsLCARCLRaMHp3LkzVq5cWe3rBgUFYd26dRp9g/bt2wepVIrAwMBKz3vnnXeQnZ2tsW3ZsmUwMTHBvHnz4OnpWe1a6pPCYiVSM/IAAK5sCSIiItIKUSHI2dkZycnJpRcwMICjoyMuX76Mfv36AQCioqJgbGxc7euGhoYiPDwcYWFhmDZtGpKTk7Fq1SqEhoZqzBE0fvx4JCQk4ODBgwAALy+vcteSy+UwMzODn5+fmC+xXkl8lAtBAMxNDWFtUf37SkREROWJCkH+/v44fPgwZsyYAaB0yPz69euRnZ0NlUqF//3vfxg6dGi1r2tlZYUtW7ZgyZIlCAsLg7m5OYYPH465c+dqHKdSqaBUKsWU3iA9TCltZWtqb8HlMoiIiLREVAiaOnUqrl27hqKiIhgZGWH69OlISUnB/v37IZVKMXjwYCxcuFBUQe7u7ti8efMTjwkPD3/qdapyTENRNjyej8KIiIi0R1QIcnFx0Vgg1djYGB999BE++ugjrRVGf+PIMCIiIu0TNUSe6hZHhhEREWlflVqCvvjii2pfWCKRICwsrNrnkSZBEP4xWzRDEBERkbYwBNVzGYpC5BeWQCoBnO3MdV0OERFRo1GlEHTr1q3aroMqUTYyzNHGHIYGMh1XQ0RE1HiwT1A9x5FhREREtYMhqJ7jyDAiIqLaIWqIfHBw8FMn7ZNIJDh06JCoouhvHBlGRERUO0SFoG7dupULQUqlEgkJCfjzzz/Rpk0btGvXTisF6juODCMiIqodokLQihUrKt1369YtTJ48GUOGDBFdFJUqKlYihQunEhER1Qqt9wlq27YtRo0ahf/7v//T9qX1TkLZwqkmBlw4lYiISMtqpWO0ra0toqKiauPSeuXvR2GWXDiViIhIy7QegjIyMrB79244OTlp+9J652Fq6RxBfBRGRESkfaL6BI0bN67C7QqFAjExMSguLsaqVatqVBhxZBgREVFtEhWCBEEot00ikaBp06YICAjASy+9BHd39xoXp+84MoyIiKj2iApB4eHh2q6D/kUQhL9bghiCiIiItI4zRtdT/1w41YULpxIREWmdqJagMufPn0dcXByys7PLPSKTSCSYMGFCTS6v18oehXHhVCIiotohKgTdvHkTc+bMwYMHDyrsHwQwBNVU2erxfBRGRERUO0SFoHfffRfp6elYvHgxvL29YWlpqe269B4XTiUiIqpdokJQVFQUZs2ahZEjR2q7HnosnsPjiYiIapWojtEtWrTgDMa1jCPDiIiIapeoEDRz5kxs374dycnJ2q6HoLlwKh+HERER1Q5Rj8P69euHwsJCPP/88/D394eTkxNksvIjmN57770aF6iPErlwKhERUa0TFYL++OMPfPjhh8jPz8fRo0crPEYikTAEifTPR2F87EhERFQ7RIWgJUuWwMLCAqtXr4aPjw8sLPjIRpvKFk5t6sBRd0RERLVFVJ+gBw8eYPLkyQgMDGQAqgUcGUZERFT7RIWg1q1bQ6FQaLsWeuwhF04lIiKqdaJC0Pz58/H999/j6tWr2q5H7wmCgPhUDo8nIiKqbaL6BG3atAnm5uYYNWoUWrduDWdnZ0ilmnlKIpFg7dq1WilSn2QqCpFXwIVTiYiIapuoEHTnzh0AgLOzM3JzcxEVFVXuGI5qEuchF04lIiKqE6JC0JEjR7RdBz32kI/CiIiI6oSoPkFUe9Srx3NkGBERUa0S1RKUkJBQpeNcXFzEXF6vxXNkGBERUZ0QFYKCg4Or1Ofn5s2bYi6v1zgyjIiIqG6ICkHLli0rF4KUSiXi4+Px888/w8bGBmPGjNFKgfqkqFiJ5PTHC6fycRgREVGtEhWCQkJCKt03ZcoUjBw5kpMpiqCxcKolF04lIiKqTVrvGG1mZoaQkBBs3rxZ25du9P45MoxTDBAREdWuWhkdplKp8OjRo9q4dKOWnJYLAHC25aMwIiKi2ibqcVhlcnJycP78eWzcuBHt2rXT5qX1QlJaaX8gJ1szHVdCRETU+IkKQW3btq30cY0gCHBxccEHH3xQo8L0UdLjliCGICIiotonKgSFhYVVGIKsrKzQvHlzBAYGwsBAq41MeqGsJcjRlmuGERER1TZRSWXmzJnarkPvKZUqpGSUhiBnhiAiIqJaJ6pjdElJCXJycirdn5OTg5KSEtFF6aNHWQVQqgQYyKSwkZvouhwiIqJGT1QIWrp0KUJDQyvdP3r0aKxYsUJ0UfqorD+Qo40ZpFIOjyciIqptokLQiRMn0L9//0r39+/fH8ePHxddlD7iyDAiIqK6JSoEpaSkwNHRsdL9Dg4OSE5OFl2UPkpOLxsZxv5AREREdUFUCLK2tsa9e/cq3R8dHQ0LC074Vx1sCSIiIqpbokJQz549sXPnTty4caPcvuvXr2PXrl0ICgqqcXH65O8+QWwJIiIiqguihsjPnj0bJ06cwIgRIxAcHIzWrVsDAO7evYujR4/CxsYGs2fP1mqhjR1bgoiIiOqWqBDk6OiI3bt345NPPsHhw4dx8OBBAICFhQWGDBmCuXPnPrHPEGnKzS+GIq8IQOnoMCIiIqp9oqd1dnBwwMqVKyEIAtLT0wEANjY2XP1chOT00lYgKwsjmJkY6rgaIiIi/VDjtS0kEglsbW21UYveSixbM4z9gYiIiOqMqI7RpF3JZZ2i2R+IiIiozjAE1QNlnaK5ZhgREVHdYQiqB8qGx3NkGBERUd1hCKoHkh53jHZkSxAREVGdYQjSMaVKQMrjEMSO0URERHWHIUjH0jLzoVQJMJBJYWNloutyiIiI9AZDkI4lpZctl2EKmZRzLBEREdUVhiAdKxsZxv5AREREdYshSMfUI8O4XAYREVGdYgjSsWT1wqlsCSIiIqpLDEE6VtYniHMEERER1S2GIB1LfMSWICIiIl1gCNKh3PxiKPKKAACO7BNERERUp2q8iry2RUdHY+nSpbh06RLMzc0xdOhQzJkzB0ZGRpWek5KSgs2bN+PUqVN48OABLC0t0bVrV8ybNw+urq51WH31JD+eJFFubgQzE0MdV0NERKRf6lUIysrKwvjx49GyZUusWbMGycnJWLFiBQoKCrBo0aJKz7t+/ToOHjyIl156CT4+PsjIyMDatWsxYsQI/Prrr7CxsanDr6LqykaGceFUIiKiulevQtDOnTuRm5uLL774AtbW1gAApVKJxYsXY9q0aXB0dKzwvC5duiAyMhIGBn9/Oc888wyeffZZ/PTTT5g0aVJdlF9tf88RxEdhREREda1e9Qk6fvw4AgIC1AEIAAYMGACVSoVTp05Vep5cLtcIQADg5OQEGxsbpKSk1Fa5Nfb3yDC2BBEREdW1ehWCYmJi4ObmprFNLpfD3t4eMTEx1brWvXv3kJaWBnd3d22WqFXqOYLYKZqIiKjO1asQlJ2dDblcXm67lZUVsrKyqnwdQRCwdOlSODg4YNCgQdosUavUs0WzJYiIiKjO1as+QdqyZs0anD17Fhs2bICZWf1sZVGqBKRksE8QERGRrtSrECSXy6FQKMptz8rKgpWVVZWusWvXLnz55Zf46KOPEBAQoO0StSYtKx8lSgEGMglsrUx1XQ4REZHeqVePw9zc3Mr1/VEoFEhNTS3XV6giBw8exIcffohZs2Zh+PDhtVWmVpT1B3JoYgaZVKLjaoiIiPRPvQpBQUFBOH36NLKzs9Xb9u3bB6lUisDAwCeee+7cOcybNw8jRoxAWFhYbZdaY4nsD0RERKRT9SoEhYaGwtzcHGFhYTh58iR2796NVatWITQ0VGOOoPHjx6Nv377q19HR0QgLC0PLli0xdOhQXL58Wf3x4MEDXXwpT1XWKZr9gYiIiHSjXvUJsrKywpYtW7BkyRKEhYXB3Nwcw4cPx9y5czWOU6lUUCqV6tdXrlyBQqGAQqHA6NGjNY598cUXsWLFijqpvzr+Hh7PliAiIiJdqFchCADc3d2xefPmJx4THh6u8TokJAQhISG1WJX2/T1RIluCiIiIdKFePQ7TJ2VLZjjbsSWIiIhIFxiCdCCvoBjZuUUAAEfOFk1ERKQTDEE6kJxe2gokNzeCmYmhjqshIiLSTwxBOvD3chlsBSIiItIVhiAdSOLIMCIiIp1jCNIBzhFERESkewxBOpD0uE8QZ4smIiLSHYYgHUhmnyAiIiKdYwiqY0qVoB4dxj5BREREusMQVMfSsvJRohQgk0pga22q63KIiIj0FkNQHStbM8zBxgwyqUTH1RAREekvhqA6pp4jiDNFExER6RRDUB0rLFYCAFo4y3VcCRERkX6rd6vIN3bBvs1gaCCDfwcnXZdCRESk1xiC6piZiSH6+7fQdRlERER6j4/DiIiISC8xBBEREZFeYggiIiIivcQQRERERHqJIYiIiIj0EkMQERER6SWGICIiItJLDEFERESklxiCiIiISC8xBBEREZFeYggiIiIivcQQRERERHqJIYiIiIj0EleRr0RKSgqUSiX69Omj61KIiIioihITEyGTyap0LFuCKmFsbAwDA2ZEIiKihsTAwADGxsZVOlYiCIJQy/UQERER1TtsCSIiIiK9xBBEREREeokhiIiIiPQSQxARERHpJYYgIiIi0ksMQURERKSXGIKIiIhILzEEERERkV5iCCIiIiK9xBBEREREeokhiIiIiPQSQxARERHpJYagOhQdHY2JEyeiU6dOCAwMxKpVq1BUVKTrsupcbGwsFi1ahKFDh6Jdu3YYPHhwhcf98MMP6N+/Pzp27IgXXngBR48ereNK615kZCRee+01BAUFoVOnThg6dCh+/PFH/HudY328NwBw7NgxvPLKK/D390eHDh3Qp08fLF++HAqFQuO4I0eO4IUXXkDHjh3Rv39/7N69W0cV605ubi6CgoLg6emJa9euaezTx++fPXv2wNPTs9zH//3f/2kcp4/3pszevXsxbNgwdOzYEX5+fnj11VdRUFCg3t8Yf64MdF2AvsjKysL48ePRsmVLrFmzBsnJyVixYgUKCgqwaNEiXZdXp+7evYtjx47Bx8cHKpWq3C94APjtt9/w/vvvY/r06fD390dERARmzJiB7du3o1OnTnVfdB3ZvHkzXF1dsWDBAjRp0gSnT5/G+++/j6SkJMyYMQOA/t4bAMjMzIS3tzfGjh0La2tr3L17F2vWrMHdu3exadMmAMCFCxcwY8YMDB8+HO+88w7Onj2Ld999F+bm5nj++ed1/BXUna+++gpKpbLcdn3+/gGADRs2wNLSUv3a0dFR/bk+35u1a9fim2++wfTp09GpUydkZGTgzJkz6u+hRvtzJVCdWLdundCpUychIyNDvW3nzp2Cl5eXkJSUpLvCdECpVKo/nz9/vjBo0KByx/Tr10+YN2+exrZRo0YJr776aq3Xp0tpaWnltr333nvCM888o75v+npvKvP9998LHh4e6p+jSZMmCaNGjdI4Zt68ecKAAQN0UZ5OREVFCZ06dRK+++47wcPDQ7h69ap6n75+/+zevVvw8PCo8GesjL7em+joaKFdu3bC77//XukxjfXnio/D6sjx48cREBAAa2tr9bYBAwZApVLh1KlTuitMB6TSJ3/bxcXF4f79+xgwYIDG9oEDB+LMmTON+hGijY1NuW1eXl7IyclBXl6eXt+bypT9TBUXF6OoqAjnzp0r9z/TgQMHIjo6Gg8fPtRBhXVv6dKlCA0NRatWrTS28/uncvp8b/bs2YOmTZuiV69eFe5vzD9XDEF1JCYmBm5ubhrb5HI57O3tERMTo6Oq6qey+/Hvf8Dd3d1RXFyMuLg4XZSlMxcvXoSjoyMsLCx4bx5TKpUoLCzE9evX8eWXXyI4OBhNmzbFgwcPUFxcXO5nzd3dHQD04mdt3759uHPnDsLCwsrt4/cPMHjwYHh5eaFPnz74+uuv1Y979PneXLlyBR4eHvjqq68QEBCADh06IDQ0FFeuXAGARv1zxT5BdSQ7OxtyubzcdisrK2RlZemgovqr7H78+36Vvdan+3XhwgVERERg/vz5AHhvyvTu3RvJyckAgJ49e+KTTz4BwPuTn5+PFStWYO7cubCwsCi3X5/vj729PWbOnAkfHx9IJBIcOXIE//3vf5GcnIxFixbp9b1JTU3FX3/9hTt37uCDDz6Aqakp1q1bh0mTJuHAgQON+t4wBBHVU0lJSZg7dy78/Pwwbtw4XZdTr6xfvx75+fmIiorC2rVrMX36dHz77be6Lkvn1q5dC1tbW7z00ku6LqXe6dmzJ3r27Kl+3aNHDxgbG2PLli2YPn26DivTPUEQkJeXh88//xxt27YFAPj4+CA4OBjbtm1Djx49dFxh7eHjsDoil8vLDeMFShO0lZWVDiqqv8rux7/vV3Z2tsb+xiw7OxtTpkyBtbU11qxZo+5HxXtTqm3btujcuTNGjBiBr776CufOncPBgwf1+v7Ex8dj06ZNmDVrFhQKBbKzs5GXlwcAyMvLQ25url7fn4oMGDAASqUSN2/e1Ot7I5fLYW1trQ5AQGlfu3bt2iEqKqpR3xuGoDri5uZW7rmpQqFAampquees+q7sfvz7fsXExMDQ0BDNmjXTRVl1pqCgANOmTYNCoSg3nFff701FPD09YWhoiAcPHqB58+YwNDSs8P4AaNQ/aw8fPkRxcTGmTp2Krl27omvXruoWjnHjxmHixIn8/nkCfb43rVu3rnRfYWFho/65YgiqI0FBQTh9+rQ6OQOlHRilUikCAwN1WFn906xZM7Rs2RL79u3T2B4REYGAgAAYGRnpqLLaV1JSgjlz5iAmJgYbNmzQmMME0O97U5krV66guLgYTZs2hZGREfz8/LB//36NYyIiIuDu7o6mTZvqqMra5+Xlha1bt2p8LFy4EACwePFifPDBB/z++ZeIiAjIZDK0a9dOr+9N7969kZmZiZs3b6q3ZWRk4Pr162jfvn2j/rlin6A6EhoaivDwcISFhWHatGlITk7GqlWrEBoaWu4XXWOXn5+PY8eOAShtws/JyVH/w9OtWzfY2Nhg5syZePPNN9G8eXP4+fkhIiICV69exbZt23RZeq1bvHgxjh49igULFiAnJweXL19W72vXrh2MjIz09t4AwIwZM9ChQwd4enrCxMQEt27dwsaNG+Hp6YnnnnsOAPDaa69h3Lhx+PDDDzFgwACcO3cOv/76Kz777DMdV1+75HI5/Pz8KtzXvn17tG/fHgD09vtn8uTJ8PPzg6enJwDg8OHD2LVrF8aNGwd7e3sA+ntvnnvuOXTs2BGzZs3C3LlzYWxsjPXr18PIyAgvv/wygMb7cyURhAqm66VaER0djSVLluDSpUswNzfH0KFDMXfu3Eb9P4yKPHz4EH369Klw39atW9X/kP/www/45ptvkJCQgFatWmHevHno3bt3XZZa54KDgxEfH1/hvsOHD6v/x6WP9wYo7RAdERGBBw8eQBAEuLq6om/fvpg8ebLGaKjDhw/jv//9L+7duwcXFxdMnToVw4cP12HlunHu3DmMGzcOP/74Izp27Kjero/fP0uXLsWJEyeQlJQElUqFli1bYsSIERg7diwkEon6OH28NwCQnp6O5cuX4+jRoyguLoavry8WLlyo8aisMf5cMQQRERGRXmKfICIiItJLDEFERESklxiCiIiISC8xBBEREZFeYggiIiIivcQQRERERHqJIYiIiIj0EkMQEamdO3cOnp6e5ZYOqK8ePXqEWbNmqWcC3rx5s65LIqIGhMtmEFGDtXz5cpw4cQIzZsyAnZ0dOnTooOuS9NIvv/yCtLQ0TJgwQdelEFULQxARNVhnz55Fnz59MHnyZF2Xotd+/fVX3L17lyGIGhw+DiOiOpeXl6eV66SlpUEul2vlWkSkfxiCiHRkzZo18PT0RGxsLBYsWABfX1906dIFCxcuRH5+vvq4hw8fwtPTE3v27Cl3DU9PT6xZs6bcNe/du4c333wTXbp0gb+/P/773/9CEAQkJibitddewzPPPIPAwEBs2rSpwtpUKhU+/fRTBAYGolOnTpg+fToSExPLHXflyhVMnjwZXbp0gY+PD1555RVcvHixwq8zKioKb7zxBrp27apemboycXFxmDVrFrp16wYfHx+MHDkSv//+u3r/nj174OnpCUEQsH37dnh6eqpXB6+MSqXCli1bMGTIEHTs2BH+/v6YPHkyrl27pj6mpKQEX375JZ577jl06NABwcHB+PTTT1FUVKRxreDgYEybNg3nzp1DSEgIvL29MWTIEJw7dw4AcODAAfX7hISE4MaNGxrnL1iwAJ07d0ZcXBwmT56MTp06oUePHvjiiy/w7+Uc8/LysGLFCvTq1QsdOnRA//79sXHjxnLHeXp64j//+Q8OHTqEwYMHo0OHDhg0aBCOHz9e7l4kJydj4cKF6N69u/q4H3/8UeOYsv5hERERWLt2LYKCgtCxY0eMHz8esbGx6uPGjh2L33//HfHx8eq/h+DgYPX+8PBwDBo0CD4+PujatStCQkLwyy+/PPHviqiu8HEYkY7NmTMHTZs2xbx583Djxg388MMPsLGxwVtvvSX6mnPnzoW7uzveeOMNHDt2DGvXroW1tTV27twJf39/vPnmm/jll1+wcuVKdOzYEV27dtU4f+3atZBIJJgyZQrS0tKwZcsWTJgwAT///DNMTEwAAGfOnMGUKVPQoUMHzJgxAxKJBHv27MH48eOxY8cOeHt7a1xz9uzZaNGiBebOnVvuF/g/PXr0CKGhocjPz8fYsWPRpEkT7N27F6+99hpWr16Nvn37omvXrli1ahXefvttBAYGYujQoU+9J++++y727NmDoKAgDB8+HEqlEhcuXMCVK1fUK6y/99572Lt3L/r374+JEyfi6tWr+PrrrxEdHY0vv/xS43qxsbF44403EBoaihdeeAGbNm3C9OnTsXjxYnz22WcYPXo0gNKV7+fMmYN9+/ZBKv37/51KpRKvvvoqfHx88NZbb+HEiRNYs2YNlEolZs+eDQAQBAGvvfYazp07h+HDh8PLywsnTpzAqlWrkJycjHfeeUejposXL+LAgQN4+eWXYW5ujvDwcMyaNQtHjx5FkyZN1Pd35MiRkEgkGDNmDGxsbHD8+HG8++67yMnJKfdI65tvvoFEIsGkSZOQk5ODDRs24M0338QPP/wAAJg+fToUCgWSkpKwcOFCAIC5uTkAYNeuXVi6dCn69++PcePGobCwELdv38aVK1cwZMiQp/6dEdU6gYh0YvXq1YKHh4ewcOFCje1hYWFCt27d1K/j4uIEDw8PYffu3eWu4eHhIaxevbrcNd9//331tpKSEiEoKEjw9PQUvv76a/X2rKwswdvbW5g/f75629mzZwUPDw+hZ8+egkKhUG+PiIgQPDw8hC1btgiCIAgqlUro16+fMGnSJEGlUqmPy8/PF4KDg4WJEyeWq2nevHlVui8fffSR4OHhIZw/f169LScnRwgODhZ69+4tKJVKja9/8eLFT73mmTNnBA8PD2HJkiXl9pXVf/PmTcHDw0N49913NfavWLFC8PDwEM6cOaPe1rt3b8HDw0P4888/1dtOnDgheHh4CN7e3kJ8fLx6+86dOwUPDw/h7Nmz6m3z588vV49KpRKmTp0qtG/fXkhLSxMEQRAOHjwoeHh4CF999ZVGTTNnzhQ8PT2F2NhYjXvRvn17jW1lX1N4eLh62zvvvCMEBgYK6enpGtecO3eu0KVLFyE/P18QhL+/FwYMGCAUFhaqj9uyZYvg4eEh3L59W71t6tSpQu/evcvd29dee00YNGhQue1E9QUfhxHpWGhoqMZrX19fZGZmIicnR/Q1hw8frv5cJpOhQ4cOEARBY7tcLkerVq0QFxdX7vxhw4bBwsJC/fr555+Hvb09jh07BgC4efMm7t+/jyFDhiAjIwPp6elIT09HXl4eAgICcP78eahUqid+nZU5duwYvL294evrq95mbm6OUaNGIT4+HlFRUVW7Cf9w4MABSCQSzJgxo9w+iUSifl8AmDhxosb+SZMmaewv07p1a3Tu3Fn92sfHBwDg7+8PFxeXctsrus9jxozRqGPMmDEoLi7GmTNnAADHjx+HTCbD2LFjy9UkCEK5R13du3dH8+bN1a/btm0LCwsL9XsLgoADBw4gODgYgiCo/97S09PRo0cPKBQKXL9+XeOaISEhMDIyUr8u+3up6Ov5N7lcjqSkJFy9evWpxxLpAh+HEenYP39hAlB39M3KytIIIjW5pqWlJYyNjWFjY1Nue2ZmZrnzW7RoofFaIpGgRYsWiI+PBwDcv38fADB//vxKa1AoFLCyslK/btq0aZVqT0hIUAeHf3Jzc1Pv9/DwqNK1yjx48AAODg6wtrau9Jj4+HhIpVKNEAEA9vb2kMvl6q+9jLOzs8ZrS0tLAICTk5PG9rK/w+zsbI3tUqkUzZo109jWqlUrdS1lfzo4OJT7PnB3d9c4rrKaAMDKykr93unp6cjOzsb333+P77//vtyxZcf8U2Xfn//+eioyZcoUnD59GiNGjECLFi0QGBiIwYMHo0uXLk89l6guMAQR6dg/+4n8k/C430xZS8W/KZXKal1TJpM98X2qo+yct99+G15eXhUeY2ZmpvHa2Ni42u+jC5Xd73+r7H5q8z5X19Peu6x17oUXXsCLL75Y4bH/7mD+tO/PJ3F3d8e+ffvw+++/48SJEzhw4AB27NiBsLAwzJo166nnE9U2hiCieq6sNeXf//NOSEiotff85+gfoPQXXmxsrPoXZFkLhoWFBbp3767V93ZxccG9e/fKbY+JiVHvr67mzZvj5MmTyMzMrLQ1yNXVFSqVCrGxseqWFqC0I3F2djZcXV2r/b5PolKpEBcXp279AaD+usvey9XVFWfOnEFOTo5Ga1DZvahuTTY2NjA3N4dKpdLq39uTgqOZmRkGDhyIgQMHoqioCDNnzsS6deswbdq0BhOMqfFinyCies7CwgJNmjTBhQsXNLbv2LGj1t7zp59+0uiTtG/fPqSmpiIoKAgA0KFDBzRv3hybNm1Cbm5uufP//UilOnr16oWrV6/i0qVL6m15eXnYtWsXXF1d0bp162pfs1+/fhAEAV988UW5fWUtGr169QIAbNmyRWP/t99+q7Ffm7Zv365Rx/bt22FoaIiAgAAAQFBQEJRKpcZxALB582ZIJBL130dVyWQy9O/fH/v378edO3fK7Rf792ZqagqFQlFue0ZGhsZrIyMjuLu7QxAEFBcXi3ovIm1iSxBRAzBixAisX78e7777Ljp06IALFy5U2FqiLVZWVnj55ZcREhKiHiLfokULjBw5EkDpI5KlS5diypQpGDx4MEJCQuDo6Ijk5GScO3cOFhYWWLdunaj3njp1Kn777TdMmTIFY8eOhZWVFX766Sc8fPgQa9asqfTxzJP4+/tj6NChCA8PR2xsLHr27AmVSoWLFy/Cz88Pr7zyCtq2bYsXX3wR33//PbKzs9G1a1dcu3YNe/fuxXPPPQd/f39RX09ljI2NceLECcyfPx/e3t44ceIEfv/9d0yfPl3ddys4OBh+fn747LPP1PPwnDp1CocPH8b48ePL9V+qijfeeAPnzp3DyJEjMWLECLRu3RpZWVm4fv06zpw5gz/++KPa12zfvj0iIiKwfPlydOzYEWZmZggODsbkyZNhZ2eHZ555Bra2toiJicG2bdvQq1cv0f3diLSJIYioAQgLC0N6ejr279+PyMhIBAUFYcOGDeoWA22bPn06bt++jfXr1yM3NxcBAQH44IMPYGpqqj7Gz88P33//Pb766its27YNeXl5sLe3h7e3N0aNGiX6ve3s7LBz5058/PHH2LZtGwoLC+Hp6Yl169bh2WefFX3d5cuXw9PTEz/++CNWrVoFS0tLdOjQQWOE19KlS9G0aVPs3bsXhw4dgp2dHaZNm1bhqLKakslk2LBhAz788EN8/PHHMDc3x4wZMxAWFqY+RiqVYu3atVi9ejUiIiKwZ88euLq64u2331aPWqsuOzs7/PDDD/jyyy9x8OBBfPfdd7C2tkbr1q3x5ptvirrmyy+/jJs3b2LPnj3YvHkzXF1dERwcjFGjRuGXX37Bt99+i7y8PDg5OWHs2LF4/fXXRb0PkbZJhLrorUdERGoLFizA/v37NR75EVHdY58gIiIi0ksMQURERKSXGIKIiIhIL7FPEBEREekltgQRERGRXmIIIiIiIr3EEERERER6iSGIiIiI9BJDEBEREeklhiAiIiLSSwxBREREpJcYgoiIiEgvMQQRERGRXvp/Cifr0Lo5nl0AAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = PCA().fit(digits.data)\n", "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This curve quantifies how much of the total, 64-dimensional variance is contained within the first $N$ components.\n", "For example, we see that with the digits the first 10 components contain approximately 75% of the variance, while you need around 50 components to describe close to 100% of the variance.\n", "\n", "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance. Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## PCA as Noise Filtering\n", "\n", "PCA can also be used as a filtering approach for noisy data.\n", "The idea is this: any components with variance much larger than the effect of the noise should be relatively unaffected by the noise.\n", "So if you reconstruct the data using just the largest subset of principal components, you should be preferentially keeping the signal and throwing out the noise.\n", "\n", "Let's see how this looks with the digits data.\n", "First we will plot several of the input noise-free data:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_digits(data):\n", " fig, axes = plt.subplots(4, 10, figsize=(10, 4),\n", " subplot_kw={'xticks':[], 'yticks':[]},\n", " gridspec_kw=dict(hspace=0.1, wspace=0.1))\n", " for i, ax in enumerate(axes.flat):\n", " ax.imshow(data[i].reshape(8, 8),\n", " cmap='binary', interpolation='nearest',\n", " clim=(0, 16))\n", "plot_digits(digits.data)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Now lets add some random noise to create a noisy dataset, and re-plot it:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(42)\n", "noisy = np.random.normal(digits.data, 4)\n", "plot_digits(noisy)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "It's clear by eye that the images are noisy, and contain spurious pixels.\n", "Let's train a PCA on the noisy data, requesting that the projection preserve 50% of the variance:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/plain": [ "12" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca = PCA(0.50).fit(noisy)\n", "pca.n_components_" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Here 50% of the variance amounts to 12 principal components.\n", "Now we compute these components, and then use the inverse of the transform to reconstruct the filtered digits:" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "components = pca.transform(noisy)\n", "filtered = pca.inverse_transform(components)\n", "plot_digits(filtered)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "This signal preserving/noise filtering property makes PCA a very useful feature selection routine—for example, rather than training a classifier on very high-dimensional data, you might instead train the classifier on the lower-dimensional representation, which will automatically serve to filter out random noise in the inputs." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Example: Eigenfaces\n", "\n", "Earlier we explored an example of using a PCA projection as a feature selector for facial recognition with a support vector machine (see [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb)).\n", "Here we will take a look back and explore a bit more of what went into that.\n", "Recall that we were using the Labeled Faces in the Wild dataset made available through Scikit-Learn:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['Ariel Sharon' 'Colin Powell' 'Donald Rumsfeld' 'George W Bush'\n", " 'Gerhard Schroeder' 'Hugo Chavez' 'Junichiro Koizumi' 'Tony Blair']\n", "(1348, 62, 47)\n" ] } ], "source": [ "from sklearn.datasets import fetch_lfw_people\n", "faces = fetch_lfw_people(min_faces_per_person=60)\n", "print(faces.target_names)\n", "print(faces.images.shape)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Let's take a look at the principal axes that span this dataset.\n", "Because this is a large dataset, we will use ``RandomizedPCA``—it contains a randomized method to approximate the first $N$ principal components much more quickly than the standard ``PCA`` estimator, and thus is very useful for high-dimensional data (here, a dimensionality of nearly 3,000).\n", "We will take a look at the first 150 components:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "text/html": [ "
PCA(n_components=150)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" ], "text/plain": [ "PCA(n_components=150)" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.decomposition import PCA as RandomizedPCA\n", "\n", "pca = RandomizedPCA(150)\n", "pca.fit(faces.data)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "In this case, it can be interesting to visualize the images associated with the first several principal components (these components are technically known as \"eigenvectors,\"\n", "so these types of images are often called \"eigenfaces\").\n", "As you can see in this figure, they are as creepy as they sound:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 8, figsize=(9, 4),\n", " subplot_kw={'xticks':[], 'yticks':[]},\n", " gridspec_kw=dict(hspace=0.1, wspace=0.1))\n", "for i, ax in enumerate(axes.flat):\n", " ax.imshow(pca.components_[i].reshape(62, 47), cmap='bone')" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The results are very interesting, and give us insight into how the images vary: for example, the first few eigenfaces (from the top left) seem to be associated with the angle of lighting on the face, and later principal vectors seem to be picking out certain features, such as eyes, noses, and lips.\n", "Let's take a look at the cumulative variance of these components to see how much of the data information the projection is preserving:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n", "plt.xlabel('number of components')\n", "plt.ylabel('cumulative explained variance');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "We see that these 150 components account for just over 90% of the variance.\n", "That would lead us to believe that using these 150 components, we would recover most of the essential characteristics of the data.\n", "To make this more concrete, we can compare the input images with the images reconstructed from these 150 components:" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "# Compute the components and projected faces\n", "pca = RandomizedPCA(150).fit(faces.data)\n", "components = pca.transform(faces.data)\n", "projected = pca.inverse_transform(components)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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HoHBZVGoQIsMYIzPkpHSypsk0OovPTpvzYrFo9Xrdd73FRh2P3kdBHvrG/GCMI62s32PMgB0FCzRNjyEHBcjqtGGzkKcGKhTxXl5epo6Pe0V2SGVOnzVQIZWn+qq6GKNPdKFQKCR2UUbjrzqkjkD7GAMM5J7VcJgqQwAi1wIUFRzSF5oGZmnrToFhHEda36Mtip/RX02VpzXYOIA9/486pfOiaSwFT8iBuVOgOZ9f7+5TIK4y0jHq/CuzzbNJ31NbM5vNMusc01gYfW7aWlDHqfOhQaoCGOaJzRxRr/U5Kr/4d7V/Otdp9lPnBfnSJ/08DcTT0BP1UWZ2Y26yrle5pOlhBKB6Pzb/bGxsWLFYtPPz80zfqDXEGsxQwK4ZIOxKqVSytbU1B1eaplZWWfGD/qtBBjqoZTzMkQboykzrmNHRrODG7A0ErGJkqgPCYSM8RfBmN2sW1Hjp9/iczzS6iNersUCAOBIW0mg0ShTTPg/FMsGlUulGZGOWXo8RI3k1hvFZaYZfqU81Bjpe/U5MAQICcKBmlrnrioWiTlSBRgSJFAyySNRZ0S+VkYJLPo+7ABkD31V5qDMxM78/8obSbjabqeNTw8izoOl1bMw1dRgYishw6Hd1XDFi5PeY5kOG6Kk6rjgnXFuv1zMNQhqVzufIB/nOZtfbqmu1mhfalstld8S6VrVmkPFoTVzcLq/zrA6PedT5jbrN+sqaP+6B7BRowVIB8pTZiyAoAscIALVvkRXTOU9zYGn2LILprIbusN4A04w59j+mUOI6UdY1rmnWKKn4OB/0G5uL7vA3wNt8PvdjO2azmQOsrDmM/dTn6XXxHmqjNfiLtgZ7OBwOfd3CYg4GAz8uYGVlxarVqtcKxbq2qBdx40zW+JCT6k0+n3eHr6wWY1AwFAM+xqV+Jf6dPsaMUdRdtUM6jlzums1eX1+3Wq1mrVbLzs/PM/UUoDSfz63b7drV1ZUNh8PEhizWMrpBMb8eEYE81f7zOf3XQFrnKGZ2VC/VDpktiYnFYnlcz21r8Q0DrHTBpA0OxVdKOgIJdcwKuiJ6VaaAa2Nf+BxhasSHQ5nNZr61NDrN2OIEwcZEwxa3eJN6SjO8ONGYJtOFFs+SUQVSQ6hRfgRxPIs0T1rEVa1WPULUtElk13T+tMaMe2rhLIYIpkidnaajYvF9jF4oUNaFo6BB+8hY0tpgMLBKpZKoAVNgNp1enwEFswAYVWCpKU6dA4xanCM1lgAAIi3Yx7Sok2eiPxiDWBQbW1paI4I9Aha2W9dqtQRrpfMfnTf6pRS/6r8yI8gEhoM1qLv1YpClADCt0Tc9WoT7xUAuRu7IVp8ZmUdklNY3xh3nVkFWbGnAK2sN8v3IoGQB9Xh/s5u1f3ymkboyQRHsq/1VXRqNRv48ZUT1e6oPWelqnYOoq/zovKkDjWBB545rNFCBObu6unJ9x8nzr25wIJ2pc07DDmEHsuYvMovITPUy+pk0Jk3tq9qX6DuRkYIqZKFMX5w35k7ljL0DBF1cXKSOkVq9lZUVPyNONw3Qf2yKrhnVAQ0iuVZJEwWn2ncFk1oalM/nrVqtJgJh8AKZlXjcUlZ7wwArsyWTAhNkdhMsqBHL+sxsubA17aWLX9F7NDgKNmAcFBiBnKfTqV1cXCQOm8yKRChy1wWhkTzPNjNf9HyHuh8dMz8axUZDbrakuQEg1EKpAVE5a8SiMtVnpDWKFYfDYWYkqQwi4CR+TjoG0DQYDGyxWNjq6qpHjvRDQapGVtwLgKPHOETGQHUlyj620WjkwAqZ6T01vUMEh6GJ4Fj1lP6wYKNT4RlaV6C7kpBjGvPFjwYHWTvKkEeaLmvfFSSqg1CZ4oh0bTJWNUixnxqJIwtAqs4xBo90jR7hkBVJ0me2dqsTg9khjQILwbhJRygwVjCgoJjx67hUjmkyi04ryl2dm+pN2hyqjiNj5Kp90vWuQamCEeYgOnsFUXEjA2sNncMO831NjauDI4i9DVTRov2O61llrWuM76jDxd6os2TszCvnwG1sbFilUvG0FABLZagsna4jWK/bgpvoz7D72D4dj9pKBUsKVNXGRh8S12uaHkddjPZJ+6h2oVKpZM4jR9b0+33r9/vuSxkP92EXXr/ft/l8boPBwGq1mq9L1qPqQASHZjcPllYwGLGEyl91BZs7GAxulLyktTcMsEIgIPvBYGD5/PKUZjU8ZssJhS6M31HFYtJijU4ul3NQxOcqZApy+/2+O0roas7bgJFQIJjWKOoD3JglWSIcp0b9eqq1Rh5mS+ORtkDVuSIDAAhyxrjRn3hmD89QpkDnKjZ24vEM7W+8pzom7a+yF0S5l5eX3nec6Gw2s3K57CxZXNxmy91+CjwVAGHo+b6C0iyDoPeJBieXyyVqACiyxOnEKDDKNO4u4r7xdwXK6nDTGBvkznNHo1HC4MQGANV7qx5EZmE2m3mdDWuQw0hh/fRwQ+SvRkt1KgLfCHJ1nkkh8QYEde5ZDcZ1MBj4WxXMLAHKsA2sQQ3EYpSvji1tviKLozqvTQOPaON0zMjltsZaSmOkYjCKfiI71WNYSOyxzkVMNaFTaUdy0Ic0G65AEr3pdrt2eXmZqaOaGYh90DlMA6fKsmm/F4tlikjrcJA1Ka6dnR3b2dmxarXqa1yD4wh+0REAAOAI8JHWkFNazWskBFjnWQBZfQXj1+9rsBWvx37GgA8fpvfR+mjGn89fH8Sb1qj17Xa7NhgMvMSEsbH+CoWCDYdDt/lkhgikyBxxaKzaNgWg6guVKIj2ODJVzAP6opmP20gUszcQsMKR6sTpAjJLvs5CCyuZBIyARm1mSaeZxkypA1IlxTkOh8NEGgd6WNN53DOrra6u2nQ69ZNlmeRKpXLj9TUKSpTeVuCjiyKOR/+PTMwsYdhU0dT4q3KpwQBgaepRG1GqgkB1wpoeilE9Y9bdSfqs2Wzm0Q1OcXV11RqNhpXLZS9e1wiYuQSU6bj5HPA8nU79MDv+n9aiYVYjRpQGdU1/oP81+mHsjBsd1aaOiDlRpge953P+FotodbcWkVbWVnbWn6a2YUzV4WhUh8HjkE0CELZf1+t1d9I6t4xRna8ad76jTIc6f51XAh5OTc8KbjDK6mQjS7e2tpZIa/Nc+kTgwPqIjIg+O4KqyE7q/KcFIXEcrNXbImWuR/fSmIlYkI7jB7DquWLq0BWw62u3AAm8/ufy8tLm87ldXV1Zp9OxXq9n8/ncmR2dQ3QNUA5LkbUrkCA5jlnZStYLTVk/te9qe5RdUmCj4FgzKpVKxer1urPRyFmfwzxpgIzfyGqsPw1UFRhNJpNE3aQGpRE4qB2Pa0+vASgreCfI4nc9q0zlhI4o4EXmtwUBkQlVUMs8T6fLN3Ng69rtti0WC6/PHAwGtrGxYevr6846A16ZB8YRwTg2C/CEHYs2nj6pvJ53HMgbBliNRiN/HxdOIqa1zJZnpfD7cDi0arXq24y1cFUdKYLlWo0QESINh0uEq6AKJ9xqtezk5MQZledFlBwsitGBkTJbFvJGVoqFpE5HlSMyAaqkGl2C+uM5M1q3o3LCOKCoGnFm7YTsdDpuzHQXDXLkei02VwfDgic6Xl1ddaOOkb68vHQgAbgtl8u2ubnpaQTGj+FRA6nzmya32wqf6RsGR99dxdyhUzgPjKFS+NGh4vRiNKoyUUfCc9KcdJpeEGkNBgPfDZgVAKAn+iyVlYLHtbU1fy0MesZ7LNvttp2fn/tOoa2tLdvY2LBqteryRUdU75VphWHTQlEYKX6UHaFPt6Vyh8Oh9ft9q9frLhdYZ7Pr2rrd3V2vn+S5KmvSksgGUBGZUQXMMTiM7KgySYwT26V6oNfd1tIYMO6rx2LAsGJ/SqWSv0tysVgkwLo6U30TBfdBlpeXl3ZycuLv/+Pf+Xzu6VUdhwYnhULB9SprVyDj0HGqTdPAL7IKkSlXxkLthAar2CrmRN8zGtdu1AOeXSxeH4ZJ+hnbldZgUpVAUN/EvLBWNOhW8KfAZj6fJzYIKRuMDKJvBODBStN3/EIM4BSoKXBJa1pKoYCQZ2vApO8V5Yy5q6sry+VyVqvVrNFoeLBNiQ4kBrJnHJo2VL/G+teMFKBPWTpsIL7oNiLlDQOser2eF9eSQ42GhQaDcXFx4bs0Njc3rdFo2Pr6ur/UVbdlqqE0S+aQlfnh76o07OK7urqys7MzOzw8tCdPnvix/RiKuDMh9nkymXh9k75iRGlspeiVldPFpY5FF7U6bVVY7rGysnwFD4sHw6C72xT8YHCUGUkDVpeXlzYajRIy0EhOjUmtVvOCRViOtbU1Z+/m87m/Wob5QV44V4oeuQ/yxwhiEMbjsYNY3TKNIdIavPl8fgNcxDHW6/UE8NSC1cjwMJ8RLKHPzCFNGdNcbrmRIRpWvreycv2aBQChAjhlvPRl4qTu0hqsnbJTOFxNc8JGNRoNN2bI8urqys7Pz+38/NzT5dT1bW9v+0u5VW/VQaGbOGk16oxfmTzkCYhDBmmNwAI2gGAOkLC+vm6VSsX1NTKTyFbBHbLUDSJxPjUdzHxqakZBNz+a0tZ1rfOf1lS/iPi5N7vtNN1rtmRHqR8FWLIrDhsCcL28vHT5DYdDa7fbdnFxYUdHR3ZycmIXFxf+rEKhYBsbG84iMG8qVw0OSAkC2GNbLJI7s1WuzFF8O0LaPfg7dkNBmTr5YrHotVX1et2BJ+8NxfEzPxG48Tkvlp7P53Z2dpZpY3q9nm1tbXlAjL5q8K0BFGAX56/spPolgkHVX0AWLG7aWyX0dS86ZwAYLeqGaTO7Jkr6/X7qGNGJ+/fvOyHCnAAqNUBkrrU0p9freSCHT200Gs62ajYLMEx9m85RBFv4L2VA8/m8XV5eJja8xGA9tjcMsIK2ximp0dKGwvX7fWu323Z5eWmFQsFarZanhagR2NjYsM3NTS94M0t/zQFCUoPM33jexcWFHR4e2uPHj+3o6Mi63W6CLiV9kGXw2Jrb6XQ8XaEOEIqYc2fUeShjRt+IWBQY6g/P1Nyz/o37aLSjtHKkkyeTiafi0hSq3+/bdDq1SqXi4yK6ury8dBBsdm088vm8G4NCoeC7MXiHG5ECTq5YLDrgpl+DwSCRJkP5WfSMo1QquVFkq7SyWuqoiEbSGgvYbMkyKoBRxoW0hwJ6dYzomhZW8h10LqabtciW2jil6CNjpxEXxrHX62XS2MiMuUOOvAgWsIXzY1MFeqkAbG1tzc7Pzx2gDIdDr4XSNJsCDGQ4HA6t1+tZu922s7Mz63Q6DtoxmqrXyFJTllkN8K3pIoKY0Whkh4eH1u12HQhgjBVYahCGMVZbpWBBwVYssI8sl16r9kmZBfQiy6hrKp+5HI/HbneUQSOdvr29bZubm94XTSGyfki18LLq0Wjk9W1XV1d2cXFhp6en1ul0HJDwDH1/JkCfsSurjC6xqyytoZcaeEYbp9/V32+zgcpA6TyYXYOEXq/nNkfTz3EeYhBktgQ45XLZms2mLRYLa7fbqePr9Xp2dXVl1WrVbY0CNNaOMlMKlLGNyAl7x2eAGGWGCIprtZrbNPQdf6opsihD9IzaSuSSBR63t7ftve99r/3wD/+w3xv9xqajv/wdezAYDBLBlmZczJY7ujl/bLFYeGZLASLzwjpj3ageac0Z3+WZt6U5zd5AwIqokx9lZBTksCBLpZI1m00XJE6SXXrk9JvNpu3s7Dg6VmXXCFkdH44OMNFqtezRo0f2P//zP3Z8fOxgrlKpWC6X8xSmWfaJyOrQJ5OJbzddLBbW7Xat3+/bZDKxWq2WSKuVy2VrNBr+4ljdzq4OGcXA8OrWXj33hO8TcWIoNPJShcJBENlkASt2S6gDBlSwGAAB7XbbFw4GknvOZjMHJbxJXCltrePQiIXFR/0aIBuGRaNSPlcQrAAha9GoE0cmjA/aHgDBfdAzmCytOVMAyvzpvAAouD4W1sIY8HwAagTGrCMClqw0RKPR8Dng+wAZpfz5TnTwOGEi0pWVFafukb0CGoyaGiyCplarZaenp3Z+fm42uQ6+AAAgAElEQVT9ft/y+byn8NQgMgekO9SJxwZTwjUELQRdZ2dnNhgM3IYArGBrlLngHovF4ga7onJX4M49Yt2fpvz5roJw9A3Hzi6prEYNIhH21dWV13aSOgUwaj+Zg3hWk76LDb1A7/ihoHh7e9vK5XKijIAf0oU4eGVaVE637ZqDFcauAVqU5Y3MIS2CAvUt2ES1kfyNNc690ZlisejjVjZJ7bPqYrFYdB90G6uqm0c0gFPdp6EXpOmwM1yvstFshY612+3679gPZcWot8PO6n0AtvRzY2PDms1mwp/Etre3Z7u7u76ekcd4PHYmCvBIluj8/NzXUKVSsUql4n6l3W67PAnUkYEyytHGoosEH+iNBgX4Ds1Q0N9bA7jMv/y/3HQngOZptcYBBwEDoQ4ZUNHr9azb7fpbtjEq0+nUJxyDCapWChWjj7FutVrOVHU6HVtZWbG9vT2nhKfTqac9zLK3Qfd6PdvY2PDiZhYjfcBJkhpj8jgrhfHFAmmzZd6d8TN2VQBkqZsDcA75/PX2clA6yoZx0Z0vWZEI4+f7mn5lIRJZpaWjiE6IenhRLif5FgoFd7z8wFIBQJSBQIe0boqxMh5deBihWKenDePF2OhPp9PxXaw4JFJvpDkBxtxft+4TVTHPgMVer+csXAwAmDuiNah+rQGjz4BYBdhpjdQ0TjbWj7HOcKToAo6AGizVUaJXZdhiDRggEYqf2hzqJ0nzNxoNT1cwfkD2eDz2erusBmNZKBQScgIQs3YGg0EiUMKo1ut1nyeCI/RAbZaOVcEEslFAwDpTsKmsgs5VBD9pDbmgV4BJGMb5fO5pT/SB4IWUOvIF/KyurtrV1dUNB2S2ZJAajYZtbW0lWDnWP/YVlkFr1zRVRV+Rd1oDEGqJhAIl7VdaCh2ZKnOsf0PHWWeMA7aP9xgS4BGkKZOK/sf6KNJa6+vrmX5Cx4M+8TnrUQMsHYcCMf6u80kwRP+5hoB0OBza+vq6X6PsDTWUsEbU42GreQdnrVazZrNp9Xo9k5W7d++e6wPrGX0lyCJNP5lMrNVqWaFQ8Bc9a+kBAB872e/3bbFYeK2k1vJqEX6n07F2u+1zDQuFvyiXy1ar1TwLg8xV9lng2Oy7BFb9fv/Gm6rv37//3Vz6XTd1dpqiYhErZa4GXFMXHOBIUSWR8mg0souLC2dmcOBMIoLHIGI8BoOBR82TycQVhu22i8XC38atEWdaOz8/91OvWSD5/PI9RLQIiHTxsyBgrnTRaRROPwCWmi6jbkJ3AwEGAAFarInSYzx0m7q28XicOCoCZ4HCYmjIw5NyU7alXC77Ah8Oh7axseHOdGVlxVmqi4sLZ0L6/b4zfKQ26vV6IvVH3ZYWhcbaDB1rVn2H1jkoWzUcDt25670APisrK9bpdHyHnNb/6W4dBb96NIfuhtQCepwf/SWyxIkr26cGIyvVSdEyDlwZNXU63W7XgQNsLSBY5wkAqelu3aHEvcfjsbNUFxcXrrMUpLNelfHDDmiwgKHPclrveMc7vNgVkI3McBqkAxTILxYLB7uAGnYiUcAPYAZUEyQho9lsZr1eL+HwNJUFyIQNYfOGsrXKQmSlczW40CCC5wDyCUyxtawDBRPostadKLAiGAKs8j1NMyEPxsGYuA/sgtbMIYe0hnx01xfjZk1q6l2dn9bGRT+jgZ4eM0AQyP9LpZJnGNgIwdEvMe1GsKFpXWxMVqozjg0fyDjpu9oHdBZ9wsehA9jh2WzmLD/2cm1tzbrdrv+cnZ3dYP2YL0iKxWLh6VpY3Fwu5y8539/ft93dXet0Oqlj3N3ddfCkWRJ0jTpfavkWi4UzYbVazXK5nNeDEnARkJ2cnNhisbBqtWpbW1teVkI9Lrbm/Pzcer1eIvg3Wx6tQZ9yueuiebIogH9+z2rPBVaf//zn7S//8i9tY2PDQUMul7OvfOUrz7v0e2rkRElzKJUaIwpVVIwZCqtGS09FJ2rEGFDMpvdisomCdUdLvV734ngt0OO5sAVpoMNseSgi49GUjpklFqXSwaByrQuKhkAXIgtLo0TSjMiQ76pxR4Fiygd5a71NGtWOQWQ+9FkYkmKxaJeXl9ZqtZwViEbOLHlOkBoMTW+RLgO0oSM4Pj3jhJQHYEeL81XHzJabB9KaHhqpbATAVY8LYfwYPRb2xsaGv6xUaXQckzJTutMKFlLBswIUdAmwB9OgNQJsALitxgpgxTVmy8JsNe7KrmHIKEgdj8d2dnZm3W7X9Zo1wNxAtcMWUYfX6XR8fhaLhe++mc/niaCJeUXvkKPOZWzVatVT0ZeXl5bP591gEh0TgXN0A6AWfWPMvV7P6vV6AmCtr68nmFoCBOZeHb7WE+GU0XWt81GbYbYs7s5yWsq0aNEvx0jACLOJAL0DhJM+1LonTSfrmkWnYmpK9YP70B92BeomEUo/kC/rMK0BDvW5rDMtN0AvmA++g+26LW1Hn9PAWqFQcGaVYAkGkMBJsywEHdh7Whb4JyDE3qnvU+b/6uoqUUKibBZ6RfCt4yZwXSwWrrMXFxd2fHzs9pEggvErSC6Xy85OTSYTZ7CKxaKPf29vzw4ODjJLDrChgHBl39BXs+X7Z+v1us1mM2u1WnZ8fJyYP9XnxWJhrVbL2W7AMCnGdrvtcwcw4z7YgWq1mjhGA0as1+v5phfsZ5adMfsugNVXvvIV+6d/+qfM13z8oNrp6amfrIrjQbHUmVL7gPHSXDxGRXewwGRh3GBNcMgU6XE9Wzox8orOOS9JowXdXRNpcm3x4Eg1DijUfD53KlNBmp61oYuL65VVYCHwPfpG/UncZq1KDZvDotdUI/col8up4FHz02qo1HAPBgN/hxRFrhgDasl0O7++gBMjrq8cWCyu61tg4Kg/IbI6Pz+33d1d293ddWDHuDDgqj/oTpbRgz1Dvsw3IIFFqqfbA1YBywAlasCI+gCjMBywxNQc9Pt9N4gwtrr7BcMK3Q8AU/BYLBY93ZfWAO/IQmu5MN7UzilYHY/H1mg0bG9vz/b29jyg6Xa73gfdPcRnCraRDQ4RhoeiazOzg4MDl0+xWLTNzU23S9q3rDTZs2fPzMz8YEI9Xwv2St97yC5BZVdZ92dnZx543bt3z2tuisWin4cDc4cxJ7hjLgCV6DO2iTWnqQcz8zVw2665yWSSKDdAR7SwWF/UDAvIc5C7sjYaJNEAUPyuqbzRaGSnp6eJd8CRztXnY19gRHC0t9WPwV5rupH0NOyx1m1pDR42kfFiEyP7pawtwZymi6h/PD09dVu6vr5u29vbtre352tJWXHWVLStscHKYA+wvboOAVXsmtXd3Rqo6vWASOZSC+8Hg4G1220vPUDX0U3kUKlUfJ0jN5ilYrFoW1tbni3Y3d3NDOAgNwgklTTQdDosPfPc7/ft2bNn3v/NzU3fnKa1a9hI9aNs3IGVrlar1mg0XCb6Kh78PAEtDJ/ike87FfiOd7zD00//TzYoOo1qlVrGkZktX01B7htggNKpYkDnK5gicmVMIHtyrycnJ9btdt2BmC3P+NFnaWqJBYcTiA2Kd3193VkLimaZsKurKzs5OUmcIYKiofBM/sbGhm1vb3sBPfKjTgSDpkfwwxQoA4WR0+gEB6cgQ+l5ZKKNZ+hhg5quOT8/t6dPn9rFxYX3lwidNNL+/r7vQiFti8NisVSrVXdMFBFfXV358QxPnjxxUIxz7/V6tr+/b1tbW4nXlCjdrtFSVrTMszG6OADdUIAuaC0M84jx7/V6DiQLhYJtbm46E0juv9Vqeb2PFuibLd8RyRig9M2WdYgwn3xfC1FvMwjKYgIiMeCadkRmzWbTD0xsNBo+5/V63Q2nptzNkufEqfNROVKEypqq1Wr2pje9yfL5vD169Mja7bbLQF/+DOhNa8fHxx7ZxkJYmMXFYmFnZ2dmZgnWQAtXsVEEQVtbW85aAKyVVUB+rB1KCdS5A/BxKPpMZVAVMKU1Uu18LwZ0cSMLz2U9Kiul6XzshQZuBAtaN8UurmfPntnrr7/u6Zc3v/nNNplMvLgdPdBxqQyyGmPTlKXuUKRPgFvtI+CPdYAMNcWqNTlmy6NAsPOa7teUea1Ws52dHfcRlE/gpJXdANSmNc5701pIdA5mF0dfKFxvEgF08beLiwsPMAEuattWV1dtd3fXtre3E+wWtY0EDwAqausowSBdf3Bw4IFuq9WyVqvlQUaz2cwEVhyYqqUSCmyROXOiZQnYwuFw6PXHrDHYVfwrdkQZcIJxrddCJwBoBCasd+SutYEECFntucDqZ3/2Z+1DH/qQvf3tb08owxe/+MXnXfo9tZ2dHc/HAyzMkoe4IWiEpGkdCtfOz8/t4uIicb6U2XKyyuVyYrFp9Njv9+3k5MSePn1qs9nMAZgi3lifo1EhCp7WSMtRB0S0DABRapf7YWB0EetBbZubm254dTdVt9tNRMJEFRcXFzeK81AmLZjV1E8EVsgrNq1fU5bKzDx33+/3PVfO/wuFgr8ugoW+trbmxeAAaOaPaAeQN59f72pZX1+3q6sra7VadnZ25lR3tVq1fr9vR0dHiVRSZPqIvnleWlNDjDw0BXlxcWGtVssBFcAW9oEULX8DSNTrddvc3PSDZwFfHOmBMSgUrndKIk8ADLVoGEhlOFgDfKZsXVrDySjARf4AWy04xQEA8JgjAgd0ttfruZHGyWvauVgs+nwBMkmdtlotq1ardv/+fXfigA1NIzOfWeNDljg8Di4FbBMVt1qtxJEopVLJo2OidABMLrc8qJA0kAIY1TEc8P7+vpcUEDzCVrJuSedqipqGfLPmjznQjRIEVTglnGej0XB9J5VJWo3nY2/RA5yMpjiV6SZFg1xgB5gzLXXg3soWZ60/M0usXbNl3ZQCF2XZsIGsSd01TDCpNaDYrGKx6MfswHAStGDftN4QUK3BAqUTWmeFvmcFN3qMiY5DWaX5fO62G5sC6OB7bKjCduDj0GXAxb1793z+jo6OfIMWsmbzEGwWz+p0OpbP521nZ8d1kXPrsGdZzDHrgzIb9ELZWBh9AsKtrS1fu5eXl1atVu3g4MAqlYrXObPG9HgUdEvBGuvg9PTUdUTZW9hqAjbd/AQQvA0cm30XwOoP/uAP7FOf+tQPvFg9NiI5In2cnR5Sx6IHOGCwyaFq6iSXy1mj0fDaBRauggLAEg6DnR4wCgh0Op3a5eWlnZ6eWqvVspWVFU9XAkwU9KU17sGZMLEYdzqdurHFyT5+/NgGg4FHABh2JlWBDAqDM8Tpm12DhSdPnvjYUKzLy0s7Pz+3ZrNpzWbT00b0SR2nWfIlw7EhCwwUi5lod2dnx/b29nxnZKPRsIuLC6/PwQBruo4FzqLBgOI0CoWCn5xN9L27u+uglMJGUjIYYVIj+XzenaTWrt0GrLTY0sy8DqjVatmzZ89sNpt5ETiGBV3CEavR1do9BWBra2vO8BQKBU+btdtte/31192gq25tb287e4IuIisclqZwYsMIqeHX+iVlvQDoaTQ+UbI6aIIY1jqF0FyDEcQoY/C2tra8iJVauhdeeMF2dnYSmxb0fKksxoq+E22SStT0biyynkwmiQif6H2xWDiQ4tgXGDp2EGqKn6AJBnlnZ8c2Nze9RoeAoVQqJeoPNbWj48h6D5uCKt2Vho7AxA+HQ/vOd77jUXmz2bQHDx4kdrVii3HwOHkYE1gRrX3sdrsur93dXR8Tcw0Dqikqs2SpApmLtKbn0ykg419YGgAV8oJlpASB9B2F12x8QKepPTo9PfWaHRh5QAp2plAo2NbWlu3v71utVvMAiRomPaha11Vaw49g+5AXIJZaZAC+7qI9Pj6209PTBNBg7St7Wa/XbWdnx3Z3d+3evXvel8PDw0RtYLVate3tbVtbuz6AG9sG4CDIx38ij1wu5/Oe1tTnURhOIKxBG2wadVblctm2t7cTO4CpjyRNenl5mWBpsbXIEiYTHaOkptlsWrvdtsePH3vAce/ePdva2kowjsqUfl81Vuvr6/ZzP/dzz/taon3mM5+xT3/604nPfuu3fss+//nPZ16jiJL01mw2czTMgj47O/Oc7mQysYuLC1/QWsewvr5u9+/f97QTKRfoP42uK5WKNZtNy+evz8rBCVYqFdvc3LTFYmGvvfZaIvVAvzTFpgsibXxsU9V6BwBMLpfz3QgwUBhZjAARCqwKDptx6MnR6ihwyt/5zncsn78+WgHnRRSiaB/nrikDs/TTpWk7OzvWbDZdNswhlPj9+/cTdD8UsoIlGDxYHuSCkdfCUxYnRkMjDcAfzATRqjIH6niUEdO6hNg0vYlDUHq+0WjY7u6uNRoN63Q69uqrr3qBK0d0sDCh8WOdDwWUyASnRcqKU5sxXLB8HDlB9Ax4iOkVmJG0hpPQAk2tz4IlVvo+1gBFJkvBPeCKKFtfB6V6S9oXfalWq4mCbpUd9yBYQF5pDaaWdYPDQ06rq6u2vb2dqBdiTSBT1rIyWuz2xaHn83l3NKw95Mbuq2fPniWOkdja2vIalXK57KBO0+XastIQmiJGXthH2FRYlL29Pddn0rgAKT01XwMqdIB0ZzwnTuu50AGAHE4beWu6TeWKTU9rylSja5qZYP7pq9oJTRdiH3mOZi7K5bLt7OzYysqKHR0d+fjU4WM/SB09fPjQ3va2t3nmBXuMPWVtsP4jWNamwY1mHZSpbLfb1ul0/DBbWCfNnqCPzC86iR/UHa0HBwf2jne8w+bzuTO22FPGAfBlTeZyOX+n4/r6urOSzOtt2Rv0QnWM8cEwTqdTD17QbY7hQYYrKyu+yxBQVa/X/Xua0ia9DlAioKnX6/biiy/aycmJvfbaa/baa6/ZfD534EnJDWvRbHkmXlZ7LrB697vfbZ/85Cft/e9/fwI0pIGtT33qU/b48WP7j//4D3vllVf88+l0mvlSTe/I/47sNHWBMkOL5vPXZ260Wi2nb6Gbc7mcvfrqqx6F7e3t2b1798xsuXtve3vbc79MBJEiW8X39vbs+PjYxuOxMyBra2vWarVsbW3NDg4O7OHDh9ZsNr12AiYDJ57WyNXC6rBAAUooLIpAzYpGrDgymBYcAzliLfLG0ZCyeOGFF9xpEJ0R8RBl53K5xHZfjfo0LZBGgW5ubnrEAeOCInINABAQpSlOlB3jBwPFIoo1OsgCAEff44teuVbz6ZPJxJ0rRggj+7xIhPHBlvG+wne+852JwtNer2eVSsV6vZ6trq7a1tZWIo2G08TxatqpVCo5iwVDAiDZ3993wA27SdChaWJY1WKxmNitqHMaG3qk9VnMgabe0SllHWLqAhCME9I6P4AVTtzMHFjBLOhBhcomauSozps0fCyy1hZTyjhHPawXOWj5ga5P1h7pMHUmMO3KjpNSrVQqtr+/7697Yb3OZte7ndhp2Gw2/Z7KEsY6nawABz1i3ZGym0wmidd+ATIJMAlk2FZvtnxNydXVlYMhrR3UOi7mQVMnMWDR9aXAj/8DbtGRtKbpVfRC7UixWPS0LbpESn5jYyOxk5Sdw9RxaiqzWCz6qfTxMEn0BlC5t7dnb33rW+0tb3mLbW9v39gcENkqxp3VeAZyU53K5XJeB7xYLBL1ujCCgEYyEhxDpMCKIB1/22g07KWXXrJer+e+Su0nwTeAi/Pl7t+/73aUNB72IEtHAYkAdN3JCckxHA7t5OTE0+e6zplvfBygifknwNd66Pn8+l2VDx48sEaj4XpJgNVsNm19fd1eeeUVa7VaXj95fn5uo9HIa7LU7n1fNVbsnvn3f//3xOdpwOo3fuM37OnTp/b7v//79olPfMI/LxQK9uKLL976HI08mBg1aqS5KAo1W25NbTabzoo8evTIDTORH0BBc7m8x4gaFZzew4cPnRkrFAp+Ku39+/f9XXacGEvOm4WpryGIjUWLQcUgaP2LOpJ8PnkeDEae6JdrzZLbsnkWDs3MfLfT/v6+GxUcVbPZNDNzWhbDRo0LhlCdZprjwkijqIAPwAyKrIZQo0QckwIorWXDMCMfDCsLWQ961TOcNA0FiFY2jCidtF2WU+ZvMGOMc3V11V544QUv1kaOGF7OaiHnjyPTegVSZgAo5A/jhkzoc71ed3CkwNLMfEce4BYZEx3eZtABXRrlaxoBcIweINuYZlSDqgCGmjD0Muo7pynDcOj5avRFI3gzSwBjWloNIDqEbnE8hJ4rNp8vz8Si31r0C4NASo37wMapbLXwfbFYOBvFzk6YAmTGfTljDIaBOUSvcCJZbADOnx9lrTk1XncF44SxN8hTQSK6r4w14AbdJfrnM7Nk4beyUgoAtF6KdVIul2+cm0jT52vfmCvqxNAJCtv7/b6fk0dfWCMAA7Pky9FrtZrdu3fPZrOZbyQhJc0mokajYQ8ePLCHDx+64yUQ0T6mzVNa41r6iP4hM4KbRqNhOzs7N05Kp+8cXGxm/uYCNlgAItRGFwoF29/ft4cPHzpriL4xbk0nAq42NjYSB2jiq80s87w8gjbdMKU1z/j08/NzP88Qpk5fecO8slYJPmGXWDcaxJbLZe+zBomsx3e9610e8GgKnxpRShXYwZ7VngusPve5zz3vK94ePHhgDx48sD/90z+98TcKUW9rSpOamSN+3mEEOmUSOJxM01ebm5v+7iM9DgGwwb1Lpeut+xTfoWTNZtMODg4S9CEoHeOBAYFuxDDr+RhpjX6wkDG8EeFj5HTHIc4TOh2DDNOCw9MIH3lS36CRLxGQ5p91jBhWjTY1SoxNmS6dQ40qY6pI/0buG1pY6f1ooHTRpDl9fe2CAjiz5PvacGhmSwN2W2E34wFcmyV3QxJxs8sMGlt3I+HM+BfmRvVN5azziTHTjQakMonMcDA4ZH2ZsJl5fUlaQ17ooRps5HMbk6hsCfPLXAC2KZzVdDN6rqAOIMjcKBOmKRz6qCmdLGdGFK/siqYGkaOmxpE/a4HDhtvttqfU0D0tbkYf0HX6TpqXAAtbAAiiPkYBHfOmti/LzsDGMQ8EfdwL+bF+dC7NzBkq2E+cDoEvdop1rvpHGQABLPOgZ75hW1jvysTr/Gc11TXkqmxeTLXpHCrYJEDSMg50jL5tbGzY3t6ezedzP1CSYJN5wMG3Wi23yYAL2KrYbgtuWDekxmC719fXfU5IQxFkA3h1hyZzCONDqg5gxQuLFZBVKhV7+PCh5XI5Hy8lFOgS94Ih07lQVnk0Gtn5+XnmHOrmBcDbYDDwezcaDd/k1G63XX/JalD3RsoVJgmZ4euwvdT95nI5a7VavsMefaCQfWNjw971rnclju84Pz+3k5MTr3dWVjCrZQKrX/u1X7M/+7M/s5/6qZ9KNVS3HRD6S7/0S67s0+nUzs7O7J3vfKf99V//deY1mmqioTzQ1lo0y/ZKogcYChgu3WoLOFG2CEOPYaOAbjwe2/b2ttdCaOqKCYuKoSg+i/40W57hw0JmrBhC/s53+JsaWD05XRVHwZfS0GqQ+TwaG8bA59xL2SGMAQ48Ngx0BEDIj0XP5zrv6jAYs9buKDuiaRyi5nw+77JncWmErfU+jEkBAeNK00Fteg8ADKk6ojv0j2fwN/phlqTWeS7GBZAVWUyuATyRSmUMGAGYUy3IjtF9FrDSmh6df8aOTrFVnXnUdLWmt5EXugVTwj0VrAEw+R5GGrlp/ZXW6iEX1a2sOkfq4YrForNDMDjoPLqlwAo5A3y63a7lcrnEziEFGFzD7+xyxOmi29EOVCoVW19fTxy1gv6rLilrn9awR9gNDWi0KBr90lcZ6bEeHJaq758EAGmaDz3D/rKZhzEDONT2qL6oHqP7WalAtV0KrpRd0/WlLI/aDvyGAkXkrfVKMKzIFHCFPrCzDd0l8DFLB/lqR9MafVe/gz1RW68AWo8UYnc4TIzWVMGyUTcVg/tCoeCpTYAcDC6BOFmbmAJWm4U8sg6xRe+0TID1yAavtbU1e/DggZldvw7u+PjYbST6CXu0urrqc6apV2XbKBvJ5/PW7Xat0+lYrVbztCg2CIzBZ2RxyIDxWjwN1tNa5l8+85nPmJnZn//5n2denNW++tWvJv7/jW98w/7iL/7i1msoMFfFA5ihJDAFKysrXqzLIsEY8n+2LkMdqsEGGCgVzAIlXbGxseETqAABYEXUCeBTh5TVlGJnYWL8FICoodBaMxw0EQQTi1LhdDBSHA/AoldAQj8VbMGixNQfRvS2SIu/aeqSMfA7z1BHqVE+f2MOMSpqRLiOxR2BIt8F9GCgNTdP+o/nx9qqrDnUlKIyOcife5FugIGbz+ce7fG5Uv0AYNhIImplV3EQbNLQ9IACKN2qjdz5oSmwjfqpzpJ1o2CSAEKNvYIIUqT0TVPneg1jp95KWRXAh86NAgRNMWEfWFfMSdb8cd5bp9OxTqfjOzgxqKwtBQDML7VKW1tb9vDhQ0/VYXvSdIUxra2teaqXtaiBi86N1ilhA2OQcVsqSdPcMQuQFjjQH2RqZu5E2VyhwZVZclesAk9qr3S3MmvGbLkTmzmlL/FA56w0C31Q0Kn9UdBHIKK2mrSV2k+1V8ifbAiF66SNCBSi3dIUqAJm9OC2tKA2apzUn7DuYiaDH9Y/Nq1QKLgP4919bLzAtuLHSPGhh6urq54qY241oEVmmlEA7GmgpIFBbIASZRA5FBngRrC/s7Nj+Xzed/HRP8qA8JnIH7BnZn40DawbQU4ul/PjFug7a259fd1tH2dicjQLctQ5yGqZwOpf/uVfblWAg4ODW/+u7Ud/9Eftd3/3d2/9DrSlWbK2BmNIMbkCA7btKp2sOW4Erad4Q0kvFosbToCFwnEAbCeOKTA1FlDK8/ncC++ymjIlLAo1vsrC6MKFwkcOXKPF7ixgFgJOTQtzNVJWg57GAGCg1OjcxujoImQu6b9Gp2r0zcz/D6BUmluBLHOvp94z35qejcZcHYsyjciTsarcspwWz+A79LFQKHh0p/cATDwJ3YkAACAASURBVLC7xszcqaAPGimbWeLUaBYv0TXOOaYrldWEESKVpruglNXM0k+VleqVMgTKyiqoYn6VYdXCU4yV6lK8TgOAlZWVBDhVFovASQ+CVKY1qwGUOCtM34+Iw1FAz/hxXBwlUK/X/aw1TYGorLgvgFMDJw1gVPYRhERHyjOyWDmVo6ZlFShqahi2IJ/POxuAU+NIGOwHa1Plq4wRcp3Pl2f2sQaZT9YboD0GS9jRrAOpVd6RGWR+kaOyCvgEDVT5vrLbi8X18S8cKKzsc6FQ8I0G6AlrJZ/P++uLdG5w2pE9zGrdbjcRxOg6oS/Im7WhtpE1AFDQ99qS7dDjZbQ8hrWoQFqL+lVPNZDWVD5AhQ1CaQ2dYK3jk/v9vo+Z3fDz+dzTgsgF30d9nxIJ2BtshPp6/AXje/r0qR0dHVm/37etrS0/F1IzCWbm9WyALuzRbURDJrD6+te/bmZm3/nOd+zRo0f2gQ98wAqFgv3zP/+zvfTSS7cewfBHf/RHif+/+uqrtrW1lfl9s+sCOzqLs9IUCIqPErEFW09VV4OE84H5oLYBQU8mk4QRYsJhxjY2NjyfjjDV+OE0cQKz2fKMj7SmhgxGAgdFH5RaNVtGl4vFsgaJ6F7lkzbByE2PZ8CQRcCh6TFAi9aoKf2sRkxbr9fzwlG9J/UGGuGwqBRIkrYlOlfgqlETY2PXSi63fHE0z1GwooyLUsM4rAgcMfJZc8g9SLuxyLXOC0PLHMFospNM5cNYFWRphItDx1DCXmFo1SjiMIlgAR9xHm8bH7LOcn7cW1OhCoY0iNH6o/iqEfRMN6Ywt4xJawL12bqbSFP+yAE9i03ZGAw6Z97R9IgKnU81/MqQkXZVxgKnxH01MFAgEO1JnAdlDgH/+p20psElOqM6po25Q37YF9at2sbIrMXAT9k9ZKGpFewdOhoDLLVL1AimNQWHMdiL44vrS9eYBg/K2MFq6M45UoI7Ozt2cnLib4+gfIQUFs6eDAFNswjPA1aDwcDXEOseUsFsqbvYPV03AHHNDKBzHEAN8NNjFJhXDV46nY7NZjM/wkfHo2yh2mTWIHpAMBmbghbmBLtKipv3D5bLZX9NjgZsCsZg60lda+0ZjLluqCqVSv5anuPjYz8UGB+u/g7Gj5MHCBwIIrJaJrCiaP2Xf/mX7Utf+pIzMZ1Oxz7+8Y9n3jCtvec977H/9b/+163fAcSYJQ2LOnM+Z7FCH+N8mPAIqjCWUILRUfMcjARIH3BFOpEdV0Q9OAVeJ/Ds2TN7/Phx6viU9uQeGGyUiTSEAgqMFA6Fe2nkEoGVOkctFOdvLCAa95/P556nj9tgI4MV28XFhRd0s1h4FiyKMgpq5HRHiNb3KOBTtq5QKHi0oik/HSsLUB11TCEpYI9RV1rjc41KqamIclZQabZ8JZKmC5QSJzpUEEyfmXsFVxrBImdkwmtESIVz4B9zeVukFdmqNMelTIwyI/xg8HO5nOu3vopCDROy44fAB8ebz+f9lGwMGWNFJ9CfCOBjQ/843d3s2oCr00UHqZdj3tETinI5L4xUIMZdGcsY6ePw4t8UvDI2ndMYAGSxxtwLWWL7mDMFFap7yFDvraksBexqe7DXCrCRJXOMziq7hIw1MIw6mZXO1V229EmDC5ULeqD9Ymzq2JWdIWgnZQjDoW9tqFarvlFJ2SRNw0f2MgK/rDWIT4hrgyALwEv/tQYrsp88ZzS6frcl78oEUAEgANMKrHhTR6/Xs52dncSxMMhUn0Wwi07k83nb399PHSM+m+fzGf4G1khTezqHsG/6qihS1zCs6Kq+I1btAptWOKiag2OxkQBnQFWhUHD7zQaPrF2PZt/FrsCTk5PEbr5yuWynp6e3XvOJT3zCWq2W/du//ZsVCgX7iZ/4CWs0GrdeQ1QbqUZlFjSPjMB1gSlFzN9A2zA+0N0aAQN0WHQ4CNIvgBs14mbmDp6ztV5//fVbgZVG7woUAVaqtNGJxZ1Q9FejBiIFnALgTI04i14BJtfoOOPZR2rY04CHMgfcQw2mGnbmyGx5zANMFYXEyJ/zjbgWw6LpLfoHgItGTJmONBBFf5/H6ESnqQBQ9Yfn45h5NsCC67WWTJ2QOnEFnDBfmirHkHPNYDBI7IoF0GkKMY1xRP8UYEQWJaYy1EHHTSb5fN5Putat6rp26B+gGMNmZjeK3HHCzA9yjqkf7p3W+C7gFAOtKSJSMAQxrAs9owegD4jR1J6uMfRK583MEutV+wYYAeCgpwBIXYdZTeURgX6cP2UDFZxgX3DyrD90g0aftJgZ28m9CIApW9CAQk/lz0qNxkbaUtlu5KXrUm1p1BEN/GJ2gDWozBB/p2aHk855rx4+g4Ni0aOYhkV2zwtslG2OxzfAYqldV6Aage94PLZ2u+1v3qAwXYP8CMzy+bwfFcNr3HZ3dz3NpvLDtmJ3yATx7sS0Fn2O9lk/o4yH/jEXeuAzjN3a2lriIFfmBPZKj4xgFyGBB/V02AL0ieMpzJav6wFQ6dEoae25wOqDH/yg/cqv/Ip96EMfsvl8bn//939vH/nIR2695ktf+pJ9/vOft3e/+902m83s937v9+yzn/2sfeADH8i8hsM1iUh0EWvOk0WouwHVUGg6EWMYdx2giNDTWtymO0VA8Br94XxRMIBBr9fzdxRmCvt/GxcmBOPONmQ1+LrwNXJVp10qldwRabrELHmKNrLRxaMLT8+AUoYkjaVKiy65P9/VfuiCiLtlGLu+WNQsuc2f35ELTlzHwUJjIaWBKk1tArA01aLGPavh7EjtqKPSdKSmOVSm+kohZVN5UaumbWCfGIPWW0RnwNwjx8g4KiOoqea08bHuYh2EOpk476wPds7kctf1jxSIU/TNuNBfdEwBt6aSNI3MmtPiWGVa0BvkldYiEFfGA0OrgFuZB9YmzDfsQT6/PKSQ7+m8s7bTACAyp1+MR9c8zk/BcVZwo01BB7JRB69MgwY6qhs8Txlhta+ADYKCKKcIMpApz2asaudYj1lNN3bEedZ0m8oXues94jomjWdmqfM/n8+t3+/bo0eP7PHjx+5o5/O5Fz1z8KSCTF1LrNUs0Eg/VQ7oz2w2c5DAZ5oa4+/YHq7t9/v25MkTJ0h4jRP6xMvV4zzwdo7Dw0M7Pj62+XzuL7FX/dE0Oa9LYqNOVh0gOo1u0W/Ggp2ntEYDJebh8vLSfSD2ERuMDiwWyWN88JVmS6YPkE7KU7MjAFkYKt11ydlWWe25wOp3fud37B/+4R/sX//1Xy2Xy9nHPvYx++mf/ulbr/njP/5j+5u/+Rvb29szM7OnT5/ar//6rz8XWJmZpy8QDk4Lo4twYUT0CAbdlcdnZuZv/D4/P7fFYuFCxEhDYWLQp9Ple7AwHEwyCxqngwElZXgbxQtgo+h+fX3dI0Nd7FHJlbbGOTJes5uGgHtwcF+s3TJbggR1vOp41Gnr71mNjQEKUszsRqEkio9TAxS1223rdrs2nU49n85b1FmIAGNAI4tJ6yM0Okbuykwyn3FMMcpNawpoYKD0Ot25Q5+YG07WJn0JuFgsFk5dw4CqHgCw9BT9GI1jhDl7RQu7uZcyFrcBq5jSiQyZ6iNGsVQq+Uthc7nr11ycn597TYcyFepc0hgUrcXhGdER0ScFt9yTe6Q17AY6z1yhF9S1wApwv8nk+tVZROMEbTgw+go4Q++pw9I0vupaZKU0VRz1VhmrNFBBI8KPacjI1kSGwmyZftMdZ2bmAawCBAUj2AuOHjAzf+UJDp7nKWBUxhg5xaMmYotZjTT2iTHretX1pFvw41lO1N0R6OkGFUD148ePrdfreSAEI9lqtfzdn9i7tHpW+pfWsOma7laQHPWdwEI38+Ry17ueOabgyZMnNhgMbG9vz+dYfShARv0NabB+v+8lLpeXl368ga5LdtpyWjkAMAtYaYaAPisYB/DqOWBqSzudjl1cXCRedcV6jDoGoALcE9ziz+M1Wj5Bf3QTEMBK05Bp7bnAyszswx/+sH34wx+2P/zDP3wuqDKzGzTgwcFBppBpuqWcxah1GwpAELTWYagimy2Lea+uruz09NSePXtm3W7XDxTFqemugn6/76kYqM2Liwtf6Br1KWKHarxN0FqDAdhQ9K9pAGVOMKawaSxOZTYACix0DLH+qLFVZ6zGTH+ik1UjleaYt7a2EuBMI3Ea9G5aCoJXGFxeXjpVze4b5unk5MSePXtmg8HAGo2G7e/v+7v5MCRmllj4Clo1JRiZg8jopTVl7biXyluPduCe0MedTsd3ygDoWaiwHWbmwIh3AzI33AdWTKN2lbmCB641W74y6rY0EvdQoKN6jkPVv2sh7MrKigPIXq/nIBhmLpdbvgdydXX5Ti/uT9oIUEgaTdk/DTq0RZCc1TSYADwhs7hhA+DV7Xbt9ddft+PjY8vn87a7u2tvetObrF6v+5qmT8qIsn5Y8zA9cVeagifmSJ2cfsY4s4AHNoCmxeUKIHi2mSUc9XQ69ZQO99Od2NwDxo654x44HvQNm4b9UxYhlg5gj9DXtPbs2TOrVqu+Y0/tkwItxhcdLQXSpKsUlDGPBMmqI7lczs89KhQK1uv1vL5OgaKejaS6qFmO2+wMclNQpfOlO+IUKDMH2JbBYGCnp6fOrrH+er2evwycEhj8kJYL8Oo1dKfdbjt4ajQaiVpYnqfv6gRwZq1BZdHxXXpP9eXIbzabeWbo9PTUj0vhB5kVCoXEmoKAwVbz5gTGiH2N5RN6bA66yjhJK2a17wpY0b761a/aJz/5yed+7+1vf7v96q/+qv38z/+8FQoF+7u/+zvb3d21v/3bvzWz9NfhKGVsdtNQaoTHZ+pQ1FChmBSaHh0d2fn5ubMC+fxyF0Kn03GkDeBCUfSsG9CxLuI4IRjjtKY0MwW67KJjcYOwWSBmyfogs+VWVXWqmkZEBlqno3lnFJ8okcZzVJ4KWrlvVo3HW97yFjs+Pk4Yj0hro/SAWhYg752C+bu8vLSTkxM30JPJxD/P5XJ+Pgu7RjY3N91QwCqoY1KQEaNc7WsWaKTp3zSC0ghf62hwNBgzQAjGmL5xGjiNokrqUKChe71eIjWq4CqmWTTFo/MACE9r6sQjy6FNGUje1UlNBrtmlOFiTmBTSJ/w8uHJZOIvUNc1hbz0mRFY6fiQ4W01VppCJLpWtkKZIeQF401KRKNx2NXF4np3GC+wZRcZu5T0JHP6mAaelK1j3My5AvaspmfdISPAnN4zygV9xXGQ0tJ6I1hi+qIADxloyhLmGPYHUBbrNjXIM1uCi7T25MkTd7xswY9sHGNS+aKbrCXqcZCLpofpiwJ59IsDUykhwZ4DRjc3N63X69nm5qYHwip3taVpTXUXBkVlhd3B/ynDybXUguH3eHfiaDSyV155xbrdrpMAnFWWz+d9cxb34rwo/Mf5+bmDTgJEwG2s06NUJ60xHk35wlwRfCibrcE38uh2u37GFG9PYfMUOobdVbsIqCwWi/46HLCA2oVY36i+D3B7W/uegNVtTid+b3d31772ta+Z2bICnyMc0oAViwUqXR08E0i0o3R4XJRcS/qFlATKiKMyMzs7O7PDw0M7Ozuz+Xzuh45pPYzZ0mhow0DrZN/GBuD4RqORK3aj0XDjxOJVYGC2pFlJRTQaDV8k5IxB6N1u19kY7kk+HrCmTlZTOmkpnzRqPX5O29zc9LqDCFYiq8IzWUTlctm2t7etVqv5DpZWq2WdTifBRh4cHNjGxoZvKCgUrl9BVKlUrFAo+JEdABw12vpvdFBRHrc1ZUY1zaOgmL7NZtc7Zdrttl1dXVmpVHIHi/HA8cBusWDH47F1u93EmSlchz6qw9VCd2WUFHikgaSo07G2RB2XygDQ02g0ElFfPp/3XTSAwXa77U4pprA1Xdbr9ezs7MzfUl+r1RIAQR2n6m1MDWU1DCYG1Cz5vkKVgdZ4keqsVqu+Fh89emT9ft/1jxQ/4D+fT27/Vseja17Te+iizpWuzecxjmbLUgoNItKAcQwSlI2NZ/7oxgTOlyIQVEZSgRKMFrYMuwCgVGZP1ybzmtV6vZ49ffrUX/OirEEacEG3YHx5DQpgQZl5s2VZhbK9+AN9TQz6DWDkeRxIqeBW9VTBWlqLqXq1WQrwVH/UruIHjo+P7eTkxM9g4t17h4eH9ujRIz8eAtKgUCh4CQ5s6/37972AG6Byfn5u0+nUy2mUgddxklJNa4wfn4xvAuTEdY5OsbYAxbBXmpGhxGcymbgM8AfYY4BRr9e78QaLWIYBg63zo4FQVvuegNVv/uZvflff+17eL6gNAbNglS7U+ikUXtNq5MyVbta8b61W88gT0HR0dOQv+yyVStbtdu3s7MzPxiCqVgfKJGiRmxrGrMYiphCOaISFxyTFCJZreR8VBywig9Ho+t1lh4eHdnh4aLPZzJrNpm1tbbnTY0s5ETqyU8YFA6eASNM/kVaPDQMMG3cbExRTSjwHI9xsNv20biIETuTVGgVYEBgQHFxkzXhGdNDcKzqhrAXDXCm44Xp1EBpNsvhns5l1Oh17/fXXbT6/fvl1s9m0arXqxpPdc6PRyA4PD+3Zs2e2trZme3t7Hp1z6jo6izFSgKfRrTK9/D+rZbFfkSFiXQAqYDpIdXIgKrKkABXjTYrj6OjIjaXW2bFetR4kOijmUf/+PNDB+sNYqiNnTnO5XCIlAoC8d++e5XI5Ozk5cSYbELO/v28bGxu2v7/vKaDx+PrsoXq97i+XTjPQOlfqQOM4I2DOas1m0x2I1lup7tO0hos+UXLAGU7YYtKBBLlXV1fOYJFp4HotikamWelq3XygKe6sMVJj02q17N69e4mXkGtAyXwrsCKo0RdQw17g2AFgpL5KpZKdnp7at7/9bWu3236wLKUrGlBzBEBM6TI21iLAI+3VUuVy2deE2k78xXw+dz/H79ge5H5+fm7Pnj1zO0Mheb1etze/+c1WKpV8rfEWAoA7xwxtb2/b3t6en7wPI0R9k7J61Jgh//l8bu12205OTlLnUP24pmLVvmqAr0Enz9re3rZOp2PHx8d2eHho8/l1rTTnyg2HQzs+PranT59at9v1EwKKxaJtbW35PfV8Ss3oqK5GBl+Z76yWCaziIZ+0b33rW2Z2faRCVvva175mX/jCF6zT6SQc6m3vF1TEGxE+isvixTBjQChm1oJWUizQvrVazSPNs7MzM7vOI+/u7nrE3el07Pz83BWEg+L4O4IkOoc2x2Di7G9rREMsFmUHtGmaj5x2vV630WjkhsXs2nhQJAz9TFE3tS9RSbhOQWJ0unyufctiq8yWdU0qB+YCwKbPjdS2Rni6S8Msud0eQ8Z1LIy0HZXIV2sPAG86JrPl6eUKWmNDXrCreh8MjYJ7PsvlctZoNJy9OTs7s/Pzc3vw4EGixmgwGPh7rM7Ozvza2Wzm88lz0aG43R/5qJPS+eV+aS2uO4A394JdZHcR80NNAnUVyLFer9t8PvfT5vP56xo7Nc69Xs9rRpRdVTmq3mhfn8fAZc2hgisFbMiKZ+k6rVarzpjCjBaLRVtfX7eDgwPb29vzo13QCxy21sDQNHhiret16lhYU/T/tkBua2vLFotlrROOQOtXVD/NLKFD9HM+nztDA7szHo/t4uLC7StMrBZwYwuZT2SAzmlwxvoEoHHf25wWoAxmiCMO0phas2QAuVgst9BTS8saox4IYJLLXb8LstPp2Msvv2zf+ta3vFaJYAHnrGljfdNBnCMFEIPBIPV0+Z2dHfcvEShiJxkvdWsEAsPh0H3YaDSyg4MD29zc9PkkvVcoXL/yhg1der4j9Wvb29t+sCaBrZ75xM523VWp9uXi4iKTsYqZAgJC1rQycgpyAIjz+dwODg5sdXXV1tfX7fj42A80pb+Xl5d2dHRkrVYrwajW63U/OgI56+uTqtWq14ZC2ijY0+zL/60DQr+f9tnPftZ++7d/2972trd914aPBY2T1Os0/63pLChlZVYwZJryq1ar1mg03PBxNhJFbyzotbU1PxSUehaK3WPdjhZcopS3gSpd6Bh0IhtF+5EixclAfw4GAzs7O7MnT55Yu912BP7Wt77Vtre3ndok8tQ0jbJNMSeuix55au4ceWc5M9K4LDjmwyy5G0ZBiTJ/WisAsKLvyAFZKzMR03hEyYvFInGMRIyKdAwYd41GnqejzDUyifLj91KpZLu7uwlG7d69ew48ARkwfaPR9Us/3/zmN7u8dnZ2bGdnx+r1utco0UecRmQ6kb9+V/uW1tShK3tFNI/R3draSuyKIwVIgSwsCOCD+isz8+NPLi4u/HgSWBBST9gAs+WBkGkAMUaROke3NWX4YhoOHVOGAKfE8S27u7v+MlvWGeuT+0c9A3hoikmZTvqgqUlNrenvt5UdlMtlP3tIx4ku6VrPCm6U0QPgUFdDvwlc0Q/sMzaYFPdisXAQosyU2hFlKHCwWXMI0CM1hywjqxeBuJkljgQBTAIG9VU8w+HQjo6O7NVXX7WdnR2bz+e2u7vrqXlNE+NrdE5j/Rj90zRZt9u17e3tG+OLzHq0U9wfWQA0CfSpVaRkBLupwRdnBLI+VecJntA/0mi5XM7q9bo9ePDA8vl8Im2oxIKWSGRt5lI7y3PUfuo6xwdxb2SztrZmOzs7Xmd7cnKSONYFUP/gwQPfTFAul21vb8/u379vhULBOp2OA1xdu8iaPuhBuwSRenpBWstEArcxUs9rm5ub9pM/+ZPf83U4KV1YTBJ5VD06IM1hMGlxRxIR9/7+vr/nC4dqtlzs6+vrtlgsXEF1Z4MqtkYpPD8Wicax4QRRZAWFjFVZEbPluSY6yaSFcEq8cJMdVDHy5R6a/shysGqYNKLQOqW0VCC73jQK1/nE4CrlHusZmCMFz9ovdbC6GGNkp9FTBIFpaRXVtSzQoffle+iObqvGSeEsOFID5mdvb882NjbcOS0WCy+oJfKn7oGzVigQ1zNd1HEqeNTxogv8TdMxaU2dmV4HqGo2mx5ocG9lfXAaCpYBl5rW4yRrrR9TJ6unyxNk0Kc4j7G/t4Eqro/6E50woAojrToJ6Gs0Glav1xOMF/eO/aCfuhYjCI/jShubgqy0NWhmfmQEfVHWMcpBQRW/axCDzZlOp4nyCPqsKTWcn8qYNUmxP//nGXxGX/SarHlE5y8uLrxWlbnBqUddJ+gFWGkaX2vXFMBeXl7a06dPbXNz0w4ODmx9fd2ePn3qQZDWjMV5jpkBZexzuesz3trtdur4XnnlFX8JNXZTm4IP/CL/kr2pVCq+WxqmEdnRt5WVFU+3xxPTITaQtQbI6+vrtr+/b+12O/FdrkcfbluL6oPUxmMHsKURbKPzCnbwJ8Vi0Vqtlq9ZsjU7OzteEgOgZAehHqZMEK96A5GDPcK2caxNVgBudguw+qEf+qFUZoIH/td//VfmTd/97nfb5z73OXvf+96XyCO/5z3vybxGiwAZkLJS/KQBl8hgYNSVYmax0h89vZaFpz+rq6t+4JmyNmoY9Zmz2cwPhktrABsABYwVkb3ZcqejRnDKTLBAlYlCVjHlxr0wVnwWHW0EKNrf6HgYc5pjfuWVV/xe0OWqeOqk1TDobkoKmzHe1KDhzDRNzP0VIKsRBVTqDwZCIyYWkjKPWcDjpZdesqdPnyaYr+hUdQ6I/lZWVhKGWJk0dsZpvR1ORw9dTEt36FyokVJmQtm0rLmjISPtP6mTRqPhVDxGV1MpZsuXBqvRR656f96/ZmYJh8B3KJbWdAB919SAgn90T+Wf1dJkgP6RTuYFy4AqM0volRr+2DcatkLtB5/HPqQFAXG8EQCkNVI9/X7fgZVucol6pI5Emc7IKmh/Yd+wtcyf6hmAxWzJqupZQzhDDTR1LWWlAgHt3W7XGU90iecpc8saIEhR/8Gz1Haic9SucoTA5uam21LO6yJVxC5fDbbVrtKnfD7vm3MuLi5Sx/f1r3/dKpWKvfTSS84cMW71V5HZwtbgG0hvaYZCmVENeDX9zrxoEMk6Zk5gLrFTGmBpcJnVkDU/Cq5V91SmsL3ojv4wB9Vq1WvmCEY3NjYSx4UwVkAWr9vSDWM01j5lLtg0rrmtZQKrb3/727deeFv7xje+kQq+vvjFL2ZeA+WvrI8CAWV71FmooigIWyyWZ37MZrPEe+Xy+eW7pjAQqmjxkDWcB047olo1JllnW2AQ1KnqC6RpisyjQ4mLIkbp8T4KAKJDihGdGn79HOVXw56Whnj55Zf9XKJyuZyIWtSQQ+0q22Jm7mz1NGFloVj4zBELnZ2IUfkZB7LSPkRgqXOZ5vRo9+/ft9PT08SBsjSVKyBPFz86hX7r7s1areYpVD0FmfsiB6Wp0fMI8pGPOnTVn9uAo0aKvBONlAL1XciP+xPA8P80xkB1RoEbRiuXyzl7xdzHNDnXxbRYPCLhNrZDDXmUmxpRgJVZMgKnbEDrpnRtqB5gs6KtijqjLQJJBVGatruNsYLp0NR/7IemKKN+RDuh39caVg1SFDDqPc2SASEODUepDJ62GJRpW1lZcbt8fHxsBwcHCcCm86xjps86Ju2n2ghl7Xq9nl1dXdn29nbibEZ9HQ9rjkCPlBSyRHa6Yy/r1O6XX37Ztra2nNlWX6gMma4hfY7qN7uNNbBWIGVmide2MHcavGFr8F0QCGwmYlzMW8wqpDW1tfxf16Oub+qpYy0pYyEAo7CdAJZjJPQl02r/8/nrFD5MlNbH6vg10OfoFVLQ39c5VllF7Gmpwk9/+tP2mc98xoWl7XlRJMAHxkeVgfthUFiMagBQbEW4OHEii/iaAd1dwb35GyeW93q9GwXTCFk/p8+3jVOjM7PlG7qjgUaxGHc0xiiV9jcyE4wrLZUS5yY6vzRWQH/SFszZ2Zmna3UeIqhi3LpDajabeWE3UQl0rr7HSscOAFOghhFSFkUj4Wj4o7N7nkEgF6/RFE3ptHOBJQAAIABJREFUcj5XfVWHqXJXI5PL5RLvptTaCJ2nxWKROHNFDauyaBFYqWFKaxgoClX5YaeNrhXkrI5b9VbnnNTadDr1g/qQE+wX32VsyFQjTGSv86RnzShATmsq56jj/J15ZI0riME2zWYzL7QnHabzye/MD2PReYxBktqAONdqe25jApAhzBu7jxXs671pkfVLkw1zgDPFsXBfZBpBPGuV6xT0MiZ1pPp7WuM1Xgpi2IGpa12fgSNlPiio5+86D/xOjV+327Xz83MPGgm4z8/Pnc1RG0xtUUyvAnQODw/t6OgoNTg1Mz+epd1u287OjstMmUbWje6Sxr7h72azWQJYKahScEZAm8/nvW5N0/uwV+gzTC4HtOoucwIjtU9pDZmoj1L7jY7OZjMvgJ/NZokUpc4bm0jW19d97IAi7hUDVZ61urrqQEnTwtEus+apsVJbkda+p+L1yWRiX/va1+zHfuzHUv/+i7/4i2Zm39UhorFRvJumSJG5io5KqUM10mocAVIYA633icyFGhHdhTWbzRJKFg8TpC9pLY3tAQGDltUJxkhVo3YWiu680+tUKRSM0GIUncVCqQNTg5dm3InuYHM0mqO/Ooco/2w2851yJycnTr8XCgVnv/gec88mA44hgIpnzFrjxHgja5UGrHRRpTVNK8OYxc0UGFvuhwNCZ/ihvwAgjaaQp9bEKcPFNcpYRb1TfYusRJbTKhQKVqvVbHt7298pBksTAbamPJBxTDcwZk465jgG6lxgqvSFqpr+iIyJPgP5Y+wUxGTNn0aiatBVv80s8U5AAh+cDq/FQj/1yAkcFWBLnYCmZrUfypw8j92iz7cFcOp0qQOJYDfKSEEe/UDHVHYwBBpIqvMiKDJbFvBjc7X+M9q4CPqn06lvdoitVCr5a1V2dnacAWPNR1lyX+YCm8Srr3QuaMqO93o9Oz099eMn1tbWbG1tzabTqbMXgDDkoYEushqNRnZycmKPHj3yc93SWrPZdHDV7/edDFC9if3U3adkRPgXgKNzSb8UWBWLxcQrqCJrowEEpR6ANFL3yJ3nZgUBgCj6S2DEWGichcUp8vQFObP5jBcw1+t1z5bEwFNT1ei2BsDUkmk9sdpLSBBl7bKYcbPvAlhFZurjH/+4fexjH0v97rve9S4zM3vve9/7vNveaDgjjB4RKgqqjJIuUEXq6rCJHjCCTDzPMEu+s0h3NvA50YiZ3VDOaJTVsac1ZaIwtKPRyM8uqlarN/qHU6L+hqgPRq1arTojoAxHjCAZP2BDF010RlkMjhrCtDo3cuCaJksDvwoCmKN2u21HR0d2dnbmBmVlZcXOzs5uKC+ge3V11e7fv28vvvii7e7uJpyZGo74Ex1XdGLRoWnjXCDkouyaRrw6H/Q5gnfGryBZIzgFCzgbjcQ0clUHrWtI04XqvLKc1tramm1ubvpWa015KRCMwB95a2obQxQNEu/ZogaEE/Xn87mfOK9gjjlRZ8/a1AhSjXgWG6AON659dgXjdCuViveV4xWUoeF7nEWmKV8Mvr6IVgvhFShGsJH2bwRjCt5jw7boq23SQFr8PY3loalN0zHoYa/oAfOvzon6nxg8KDOlOqXp/NjYkcqBrWbXOxaxCYxJ9Qd9ZF0tFgsvYoalUH1Qm882fpx8pVLxgydbrZazsOjD5uamb/BALgSdr7/+uj158sSL+dPam970Jj/0stfrJd4nm5auBFyp/QNQD4dDu7i48GwCtoP5Y5zYnuFwmMgQcKbXYrHw8604eV53EGv5zmKxSNTcpTXsJraEtcwaQj8IzFqtlte1qR+jgH11ddU2Njbs3r17fqgweqibJrICP3YQatpffTVMHUdpxPWS1r7n4xYuLy/t8PDwe73suU0dlQ6ehYxyo1gIX7fua3TIPafT5eF2MaJSKpnFSP0Ln5uZOwzdTaLOSgFMViSiwI9rOMQUR4MRpV4I58q/3INIkDOrolFQgwc7x3uRiMaVzVEjruPjefSb3zc3N2+MD6o9HkHBvZgzpaSVBSmVSn6kANuF9TRnjWZ4ZQNRoLJ3ae8v0wWelvKIP1mMDg4XUBNBmbJXgEzkgePHCGqtkRaLAhZI4/CseGglTCXMK4XAjEFr2HT+cBZpjZoqahMiy4ghTNMRPXxXwQ/6SJtMJs5sqrEjyh4Oh07rax+UrcIYsn71fZ+3AWPtt0bznGnEnGopAHJmLcFIMSYN+Mbj6xeKn/9f7L1bjKXpdde99q7zadexq/p8mO7pnhnGM+OxjccEkGwSy7aCFBRwyE2cC4RAQpwkhLgBKRdYClcxkRAXIEGCBBbCiEjGMgpOJMgocRQ7jMzMeE7xeNyHqq7zrmPX4buo7/fU7139vnsGYufzJ9Ujtbq7au/3fQ7r8F//tZ7nWVmJgYGBmJ6ejpmZmXK1iVMwBhl1INXyafDT19dXjgRoGiMOlMOW/fw6QMf3cl94p1lnO2cifOwTDqjb7ZaaWXa3Pnr0qHLOV5PevR/bwZEylEKwS+/g4KAAmjo5NRC3j2m1WkVWkQd0GLaSIO/u3bsxPDwc3W437t69W/QI+zU+Pl7OgHJKf2dnJ37wgx/EO++8U47IaZJRTpQnk/Ho0aNiB+3MczkLdpUzDLE92FnGjV75CCH8K8CQYJ0zno6OjoptgFUmwMTWI9tm2ptIBtdksTbeLGI7BzvGFVd5zIBlDiTFj6LXBDnsqAYoOWNiYO4gx3bCaVJnRppaI7D66le/Gp/73Ofiwx/+cMzMzBRB2NjYaGSs/jjNjiqies2KlY5mAGUK2J8xmCFapuCZ9ASHiB4enm73RwHZacDPWQgLuNkEU8u5ZSNG/9jyOTs7W8YFgKCAGMViJwxGwuyAhRHBJ53J+UkogCPvnOLLDKAPU8TwuNiRxpzQL55Lv2y4feRCu90uhdE4sXa7HVNTU2XuAZLIQrfbLVefALL4Pbui6hxUZo3szAx4mxSmr6+vHEjoHXDIBBGw+7m5uRkbGxuF6raS0zfkrN1ul/QCu06ctkKGeA7f8aXiADqYnMwEcCl5XXMNop0voAUK34wl8se5Lhy7AdgFoHjeDSpcu8U5PETcGHn6xBi8O8eMLnLWSwf5G3C2v79fzvRxvVa7fbKpoNVqlSt6SLlw4DAyz6YL9JmUyubmZhwdHRWgaqBom1DHZmbWygbfAWJusJyZSTcTk2udADuAcBwPbIhZNnSD5zP/yMDa2lqsrq7G4eFhzM3NlfO+AKJee4PZHAA0BTc4fM+PbQm7wDxnAAsCZUAn48Cx+8BnB/K2Q+gYdgx5JKgi+Orr6yu2c3V1Nf7oj/6oEBLocF3r6+srm0XMjmefY9YKG4FPHBkZKeUl3Fm5uroaW1tbFSbT2QtnXAjAvZMSOYDtNpNtmXJg2qSH2CjSfBzCjb/C1nGUUKfTKcCcXY8wloD2hw8flnIS1pRAnuuYKLhHdlxGwy57s7XYCad9fTJBE6sa0QNYfelLX4pPf/rT0d/fH7/2a79WqLuJiYlybcMPs5EjdyThVEnE4+mkTFHn9AeGkmeCOrlewvUuBhg4JVA9xbwRp4xDLhY8ODgo6LquOfLzH3aK7OzslFohBMtCDSMBzUq9BxeB+h2MA7bALBxC5rnm894ZgbEziMOg1Y0RxYJJ8GXSrFN+B330tlg+T39dP2D6l3OQNjY2ygaDjY2Nsma59imnSrNj8hw0pcparVacO3cuRkdHK4cTAqpZB+Yco/rgwYM4ODjZbs5dY6ab+/v7y8WuKC/PYu4A9nweffFRDBgCnASRIeN3ZFfXnEp1ehE5Yc1yAET/YTO4Qol18s6mvLOQ4On4+Di63W65xJiUJf2ApmduuPjWjDM62UTT+3fo+e7uboyMjBSGeHt7u2LkkRczLQbTMAQEMjMzMzE/P19SiIBFg03rqUF/1isHixn0+Hw9t7W1tTIWTklHtrKDtuz6mAlACOPGyRog41S8vtwasL29Xba7AxJYw8xMMU5sqFmMura4uFhkz4AR5wjwNYDjD6wEgSfyzPjRJQqmYS5nZ2fLYZTIHDvQsD2MAZ1DTnd2duLevXvxR3/0R7G6ulrShj3Zjv7+wthHREnjvV/gDjiKOGXPh4aGYn5+Pi5cuFDOIrMe8QeZ5ADc2dnZst6ZScVfOmWLzbOcNWVv7t+/H2tra+XcqRs3bpRDWwGrjAUQhS8AMDE3IyMjcf78+bh+/Xqsr6+XIHZ/f78cvszVN8gA9m10dDQ6nU5h4uwvDBB9IOjBwUHFLjSuYdMvPvzhD8eHPvShiIj4C3/hLzz2+17nWP3fNKi+upoDK5KBVR21jrAjQBhLqHOMq4+xN7WHQQQA7O3tlashBgcHi5GIOBVmO+KmSMsAkf8TWW1sbMTGxkbMzs4WhwJQcZEcit5qnZyCy/1lHhfjQBkxOgicAavZGpTFLKFBFZ8BsNY1gCYOy9FRxOluQICB69Yw2Aj80NBQOUMGYOniZuaEFCff39nZKZEWSpTrfGiO7PmMT+zPra+vL86dOxfz8/OFOTQLh5O2HEdEqVeanJys7Jo04CT6852IyBcAxIoPMPZ6IYtmM1kTxre+vt641dtpVIwQffRcOfhxvQ1Oi/c7+qUm0EDbxglWYWZmpsIi29kSxACq/LkcZPVqBiwYTH4Gw4vc2HEwVpiaiKhsPcexA7ioLWJ3lufW4NpBHf03q2p27dGjR4/ZL7f19fWSUl5fXy8Oz0XVzAE65HobAhSuq4k43ZLP9n9kHXacWtCVlZVyj55TyrBDpN1wUGQJ0AEzVk1tY2PjsY0pAwMDhYk1QLIc8H+Kz22XCFb4Lqlbfu6aHtaPdSCQMaBotVqFyVtdXY0333wz3n333WI3M+ubZRNmmEAM+UTXM8jn32a1DWQdqMG6m3l3/R8bViKigMijo6Mi207NEWjzLvvpXjr4ne98p8xPxAk4grXinj9KAvIGrf7+kwNNl5aWKuw1O5i5Rmt7ezsmJiZifn6+MOndbje2t7fLlTzHxyf30lJTenR0VBhLF78js64fxAY3tUZg9cUvfjG++MUvxt/8m38z/sW/+BeND/hhNcCJc951FfoIZEbECAnpFyhRLhT1ZLDwRIg4H1gqDEh/f3+pHUG42HpOn7a2tkqBYxNb5WaHi8AQXU5PT5cIAkG3Mc+1Oq6vQaFxeHbevoeLlEZmqpwqZA1wXgZgNsi58VwYP4yPAQQO1xE/69/tdmNjY6Ps8Min6/qiZwDQzs5OMYZEvYA6p6mcnnR60BH0+11VAGN79erVuHfvXjE6x8fHlUJq1pmDNe1wI6r3E5q5yADBmwHMhgGqiLYxxjBVGUCybgabdc1pd/poRslraKfsuh0MDzILw4oDBChz/o7nHXmhOBbGiuc6/be6ulrYAoOFXkaddUdP6B9GNuLEmXAAYk7ZmRnkD1ehcBm45RX9JPLnWawl4zeTyrzzO6cnXbLgurW65rQKbLgBG3bUgAsHSfqWy+q565FifPrstB82hBQWV4ggn8igd1IjO3mMR0dHsbCw0Dg2BxfY6Z2dnXjw4EGMjIzE3NzcY5uVDDAt0w6s0H3YOnaKASCRK9hJ9/fg4KBsvmi327G6ulrupn3ttddieXm57Fh7v1Sng5eI041T+AP8Bv3OvpD/u5ifYMB1ZtPT09HpdCos6v7+fiwvLxfwcXR0VBhd7IfPfkLmW61WSbdht5r8BAdvY/c4RZ/dnrCmTjHjMwC9XITOjk1KI7zTH1kjOEImR0ZG4uDgIMbHx+P8+fNx/vz5GBwcLIQKwRtr4RPakddWqxUXLlxolNH3LV7/kwBVEVGE2JG6DXxdTpmzryKiGOKIKDUQExMTxaBQv4IRxYiwEAiK0w6rq6uV6IfiSBaNw96WlpbKltUmp1Vn8F0sv7q6GhcuXCgRoFONNrgYdowbYCmzaDgcnmMWBcU1i4OiQ1NjZEDtgBTqvnLz2DHmOEj6gQFizTAGOB+i5bW1tbh7925ZH/Lqvrkc5YRFJL3JOm5vbxcn4LvPMmPFfBCVoFx1DSN77dq1uHv3bmEaAUS+pLWvr68YeOQHR2kK3nPrhpEDCGBUDewxbABHszhEkhjywcHBuHz5coyPj8f9+/drx2eQmSNwAyvWkDVFvjDkyKUDAYyVjzEBLLn+xalvs7EGVVD+rvf4oA3wRT/pE+9EDhzQYG8ykLVuZlvlNUPeLXvWX4AV37VMoKO+oaBXyQHPoGTBafyI0wNo0R3LJ5tcWGuONkCelpeXK+n6iOrtAjhBbAS21eNFZvkuMmBwNTg4GE8++WTj2PADPJ9Mw6NHj2J8fDyuXbtWbBRrlgNVZMEMlMtGaLDgXBqeGUBSkPv7+zE7OxudTie2trZiaWkp3n333Xjttdfi3XffLetmsF7XYDd3d3cLc+rUKMwwa8D8Mg7W3nVU/M18c0EyDB/zcnh4GOvr67G6ulq5Lo20YMTjp+67NKTT6cT4+HgpgWhqtinYOeoSOVdqa2urpF4povdmGO7E5Mwv/HYuf4mIEuDiY/g9l8kDtKxzXIlHiQL12czr3NxcXL9+vXGMP5JLmP9vGgbbim9j47+9hdLpJdA156Yw0QgilLYLJVkQs1AY8oGBk6tIMEAUyuHYFxcX4969e7G8vBx9fX2xsbFRot3cmtKbjGNzczOWl5fLoXD8cXSc58WOL6ca3XgHoAmwZHSOocVQeWcOz2V7+fnz52vfgdDheJhD+oqx57k4GgDLzMxM9PX1xcrKSoliMCikQVFslJ5ohff4KAKU3oyV58ORKsWJTfVVzEO7fVLUfOPGjVhcXCwGHQeME6X2xGyOQbHZWEf8Npb8n5+5Ns0pVKJRdtsxv3Ycg4ODcfXq1bhz50689dZbteMzg5IdDM0gn+/wBz0izQCjS6Gq6yjMbuFszQxYRw4PD0s6H2bgwoULxQAjz++XgqgbB8AO/cYO8Tyzpa7/o2+eC+QD3eX3ZgQMMMyiRpyWByAPrgdFFgA2TWDSLAVMwtbWVpkX+uC1xUain2a7CU5Y24jTQAiQgkwCUllHalHpDzaH+kACIetnX19fXLhwoVxCXtecEiMVB7POGXiAHfwC6XV0kjm2HlqGYMToM1cEUUDNWk1NTRUG5/LlyzExMREPHz6MN998M15//fV49913Y3t7O0ZHRyvBXROwIk1P2QNyRD99ETby6IAZYEFqOiKKfHc6nWi1WrGyshLLy8slJeugjn8DqrMtYv6YOwcWQ0NDMTs72/OcrohTxtHpZ+wEug6QBdBwRhX23zXH3iFLUEtK/9y5c5Wz5pBxZJKgend3NzY3N6Pb7ZZyCX6/vr5e3kHAeunSpdrd8bQfG2AFGvUOIFBkZhrMevB/ok4rvZ2na3Vs0Hm2axpQpogokaKB1/b2diwvL8e9e/diZWWlUIT7+/ul8DG3DKjoQ0SUdCBUNovvz7qfThsYLBhcYeQZi9NN/NtbkAE3pDdwYjawExMTce3atbhx48Zj42NeeT8MA+vCzhkUA8fr77RarRgfHy/MTLfbLUbXLN7w8HBMTk7GxMREqW9BXuxwGDsRf07nYJRJQUJ9Nxk95rjdPrlM+erVq7G6ulpqDWCNUHw7Fkd2Tm0hX2awcBqZpWVMZjQM9J0as0Nj/SYnJ+OJJ56Il156qXZ8yIZZqwzcHW062nfNTF9fXzFkPIs5xvA5sHB9khlVBxA+gmJqaipmZ2dLvQVjzwdi5pZBl+1DBmft9ukhkpmhILo3yCQ95PqXvA4G0a7hqOsTDsPsowFLE4Dk53YwBp8GQ2YTLWPU9xhYkU5Ddzk6AZBEH0k5Az4cDNqmo7PewXp8fFLzcuPGjcZUJ/3H3ngTA4XmN27ciOHh4bh//35JUbG22UbSmF+PoymoNaM3NzcX58+fj3a7HZ1OJ9bW1uLb3/52vPbaa6VcAN+DnqCzdW1vb6+klQGGzPnBwUHZrOEznJgrwIplJbNz1DHhr5z6hE32RfCZnXQKGX1F1kdGRmJqauqxy5+b5NTysbW1VYDe7u5urK+vF8DDGVr0hzWKiMrREsYJsK/0J8s5WRUHgKurqwVUkS613WHthoeH4+LFi9HpdBrH92MDrGyQTDcbGGHYYFacZnK06HqGXBNhQIKiI/CAHVAzqRU7Y2oL7t27F0tLS5WTaulrXctKSR9QBvLGa2trhZkBWdvBmlpnjAZXriFrendG6vv7+8WQYqgwdMw7tQvXrl2Ly5cv147RcwzIBJBhBJ1GcrSFsmDUh4eHS0Gh1yXi9F5BM2yAZCsdUTTsm1OSrBXAisgIR1LX6HfECSN19erVWFpais3NzRIxU58FwDeYZ/69Ph4bY4DKN2Npp0zg4f6vr68XgO+dd8gXRdYzMzPxkY98pHZ8sIxmaQ3skC0756xPZtjYnTU0NBRra2vFKfB5mBLkHX02o3J8fFzYKlKAMJkzMzMxPDwc586di7m5uUqar675d57/uuDKIBddtCOwLYk4ZV0t12auMmOdgTafRU/QFbOVZjGanJaDN3Rpe3u7yAiyZeYGJw/ri7wwfo/RqTQzzjB+fNc7TG0TzXDiRAlMJiYm4saNG/HEE0/EO++8Uzs+1yUi+5xjNjY2FpcvX44bN27E8fFxAdwGy55vSj6sJ/iPHMBmJmhqairOnz8f165di4WFhdjd3Y133303fud3fif+8A//MJaWlgr7DTOHLSLz0UtGsc/obbvdLmNlzjgmJAeMBpHU2QHmCUwBBdSKwayyC6/T6ZRNRD67CnnmfegOO4MpIo+IxnRgDs4iolKv9ujRo3JHY39/f8zMzJR+UF6C/ct1iATXyN/4+Hg5NsW+AFAJMwxjhe/jufwfeTs4OIiFhYW4fPlyYwAe8WMErDBKFhSoXtCit2E7irQjMhPiVALKgtOxE6EGx8wBgMORGsh2aWkpFhcXC0MQ0Zwzd/NnbGQZ697eXily5E9EdUdhZg38HH5vkOn32rFQX2Jla7fblciBSKSv7+Sqk8uXL8etW7dqC0s3Nzcr24IxBAg6Cu70oqMx5gCFtRFkDNng0XI6BYXnfU5VAVYAkBhfHw/RFE26BnBgYCBmZ2fj8uXLcf/+/bKDCke1s7NT2Me6tC7F9WZlAGAeN0YCQ8HYAVXUJnjuI6rX87TbJxs5ODW5jnGMOD0RmbSPi81ZDwMtgy0cBT+DNWYjwtTUVOWsIMbr95jRMKDkBGiuPBoeHi7pgqmpqZIOxvH12nFlebJc2RawdmZ9vEXfTHFmjC3PzI3BhBkyAkbsGIDJgMUMDWOzQ8qNuUOHYBEA/VzJ02q1yvl2FAfbZqCzdcErwJ719hqiQwBkdBPAws+8AeX4+DhGR0fjypUr8fTTT8fo6GjjkSDIIfIPszA6Ohrnz5+Pq1evxtzcXBwenpyjBYuZbSHzC3vTbrdLDU22M+jA0NBQufLpwoULceHChVK68c4778Rv/dZvxSuvvBIrKysVNtJAtK7W0w2bgX4BVNjpDhAwGMo7PrMesa4ujWFTjW8tYIycbO+zEAkuDLTxIe12uxyvMTo6GnNzczE7OxuvvfZa7Rjto+vmGLaLOjN0s9PplCDMoA4wRpbFekj6sNVqlZIEb1LC/zodSZ9yETts+TPPPBNjY2M968h+bIAV9y9hfGy4MbIGMQALDJ2jaDvADDxypI1DyAySaX2UDeCztLRU7j6jHxHVHX+5OZLk/ywW7fDwpGCesSPUGFiMagZVFlD+GKS4b4wThM/cUyfg9BvHPkxNTcX169fj2WefjVu3btWeY7ayslKMhZ0729IXFhZK1ODoB3YyM5AYATtAxpJZRgCgHZ9lhs9h4EjZwYCwgwWlbTJ6OYWwv39yGev9+/djfX29cg0MERHGKe/etBPCCDtlkoGVHQOfAQRkQGvHgPGFTh8YGGisDXBqiDkBBKI3Llo3o+m5wdgD1o+Pj2NycrLIHJFiZu6I6s0e44ioQWTXI4zo2tpa2WZN/QvMS25ZT/1+zkRDJj1/rIOZdK+DAUdmizNDbbDhucLOOaWKk2GO/e6mWk6eY/nhHKvj49NdjNgIalVsX2g56DFbafBn4M88RFQDHoAW7IKvBxkfH4/5+fl45pln4sqVK/Hmm282MnJO48Cqj46OxsLCQty+fTuuX79eTgufn58vB0dmFs3jy/ruQIjPsUlmfn4+Ll68GLOzszE5ORkHBwfxne98J/7rf/2v8e1vf7sczWPmyLIAGGlq7LxEp2ZnZ+PSpUslqABMACoBvwbxzDHrGnEKmiJOSIyxsbEKW8tnkEdOLAd4sraMwZubuLd1dna2ZDZu374df/AHf9C4hjk46O/vLxvODg8PS30zesmZaHzPm1wIBgFsPH9oaKgcosxYbb8AYvbvsMTYH95Hucy1a9fi+vXrFdtQ135sgNXMzEzJqzIopx7sLB1BGQy5TiizHyxCThs6b8wiwQhg5HAIm5ubsbi4WOpqDJZ6gSp+byNJX0xnkga4e/du2ZVBlED/GSNzkiP8JjaHn8PUuViUXUYUy8Lm7O/vx9zcXNy6dSs+/vGPxzPPPFM5hd8NAEW0gXCS1+7v74/p6emitE6bEDnaOBvYGiyiFGYX7aiINCKqxds8F3rXoCoiSjTKrqKmhmzcv38/vvWtb8U3vvGNePPNN8t1PO4bu1xYa+8+Ozg4KHV09N91Vg4SHJ1hADCgjjYdMHjeuLB2amoq2u3mM5AMrAzk0EWiXRvaDDgiToMXWBYYPgqj2YUTccqsoWcwtwAqnCigCieAbJHm2tjYKIb5/Y4isPw6yiftT6EvAQAMOePC2djOGHxY7nKdKMaY59k5eJeu0xn8G8DX19fXCI7N1gH62OjRbreLzC8vL5f0G3aFtTI4st1irlzIDjjMAabTpQAxO+Ojo6NiCzqdTjzxxBNx69atiIh47733GlnH/JzBwcE4f/58PPPMM/H888/H5cuXY2BgoKTqThfyAAAgAElEQVRwKGzv7+8v17l4XQzgvQvXMo5Mc1D0xMREYXveeOON+PrXvx6///u/H2traxWQw9gdDFNbV7ezOiJKSQaB4PT0dFy8eLHoDUQAdggdiIgKo8l5fhFRbDzpNJ+J5lrKnEGwbDIGgCFXsbVaJ4cmX7p0KSYnJ6O//+S091u3bsXTTz/drIRRzUaQFRkbG4udnZ3CkHF/LIwYm58yKwy48nPtP1xKgR56BzC/d4Bjpuro6Cjm5ubizp07MTU1VdkQUtd+bIDVxYsXK2gx547NXuQ0FxNGThqWwGDERiqiSgOTlnH6iLuLoJyJmB8+fFhoWQtcZqRy492ZqTH1z0JxFQYpE6NjgzPPgw06f0OLYshcV8UZIcwBeXvO9Tk4OIhz587FCy+8EH/uz/25eP755wuoqosmWSf/YU42NzfjwYMHZT05oA9H7VSn19eKl3/HmhqMoCwGIcwbQJTD4jjtPiLKtRsjIyPR6XTixRdfrF1DIrV33nknfu/3fi9+53d+J1555ZUYGBiI559/Pp577rlygz3A2xGl+50ZKNYLI+e1zcb/+Pi4rKEdWJ2sDA6e3MF47dq1sluP5+bGe6jVon+PHj0q36OPRJV2yn6ux5AZYxtB3uudqhg/6P3V1dXY2Nio6BpBiBkQjH3TqeSMxyyZHenx8XHZfIA8uBaJuba8G8DWvcvpPx+tkFO8Zucs47zL6aHh4eG4dOlS7fhsKz02wOLQ0FB0u91YWVmJBw8exM7OTnQ6nSKrZnbMwlmmsGNm/ZC/zKQzLwRr+VT+ycnJuHDhQty8eTOmpqbijTfeiG632wissFHoQafTiZs3b8YLL7wQTz31VExPT8fOzk7cvXs33nrrrbh7924513BiYqKcFcgdg94Z7TPXeL9ZSFLS1DMuLS3Fb/7mb8bLL79cNi0ZiCED/I3ujI+Px5UrVxrXDxtLucHc3FxJgZN6a7VOd3uSHmSDkP3J0dFRufoFeULOvCPc9gYAz257s+awZWwYmJmZiUuXLsX8/HwJuvr7+2N+fr7Rjmagzr9hmFhbUvvr6+uxuLhYgCV6ye8JwiEcmHvGhp8gCKN+CxsKeMSO8T0HfcPDw3H9+vV48skno6+vr8x1U/uxAVZXr16NjY2NErHiNCJOhTQbMhtIHIIn3BR6XUQdcVp/ZcfldASgY319PVZWVsrWS7MCH6SxcNDU7jfUJgaWheRE2IjTe4kw0ggTAl/HVvBe07cIFymB/v7+x5zT8fFxXLt2LT72sY/FJz7xibhz505MT09X2Kjc8kn2uT9sI/Z3LZgGQBjpHDXWNebADsyHdTrNtr+/X45xcG3G9PR0KbTu7+9vdFp3796N119/Pf7n//yf8bu/+7vxve99L7a3t+PWrVtx69at+NjHPhbvvfderK2txf379wvzg/z57Jk6MA4rYXl3moJ1BOhjTJ2WM2tAGvfmzZtx8+bNIntNkRbrRYF8xGntl2t99vf3K9e4sJZ2QvTFjI1110459wFWjoJrUiB5E4Cf66ChCVjZZhgA2Bg7DXp4eFjONWOe+ZxlN4PlvF7e4UcQYOAAoASs5pSig82hoaG4cOFCXG84Q8d9QJeYM6d6jo+PY3l5uVIbyMGeOa3JXGS74oAIJpx14W/+jTOOiFKEjO7duHEjrl27Fvv7+3Hv3r0KsMmNFOLh4cn2/oWFhXjyySfj5s2bMT8/HxEnV6a8/vrr8c4778TDhw/Lzrxr167F7OxsGZePtHBgeXx8XLniBLk4Pj7ZSPHee+/FwcFBvPPOO/H7v//75Xwvl6M4M4JdZ6fa5cuXG4+T4P0AMC5l5rgPM6cZuBuce7MP4wAQ+PJyPu+1ZScpbCcbE9A/bic5PDyM2dnZuHDhQrlPk/eNj4/HnTt3asfIZ+gX7+7rOzkV/uDgIJaWloq9iTi5UeAHP/hB2f3pejD6luvAsHUAwm63W4I0dsrye9s4dJR1iIg4d+5cPP300zE/P19Yw/9f7Aq8cuVKPHz4sDhUqPEMriJOAYmjfgwftCdsDN81y4OAEhk45w1ydx4WlMux+J543v9+DcVEmFzI7aiYviwsLMTNmzdjdna2XDjslIyPl3BRtlNjTmVi2LwtnTlAUThh/s6dO/GJT3wiPv7xj8eNGzcKbe1n58Zt7o6SmRvWZ319vWx9Pj4+rtwlh6FmDVzbYqBmWtfvYrweq68hgB5fX18vRYtcpcB5LYDNplTS1772tXj55ZfjlVdeiYcPHxZGcGxsrBS0jo+Pl2M4MNqkBFFwr7dbrg00DY2DZg2phfMz7FRbrZPLY5944on40Ic+FOfPny8Gp6kZuCA3OS3fbrdLGsFbvfmu2UZfe2EGw2uLzPoIAgKAjY2N4vxxtjgSMyi5v71qWAxADVyQuaOjk0uTFxYW4vj4ZKcuYzYg8lxbDw0sie4pmMWJwSDZcfNznsE4caKkKebn5+PJJ59sPPXZ4NoMBXOP7ZidnY2xsbFyWfTW1laliJ75yKks5pBnOf1p+4DO8zPsFxsohoaGyi0Gt2/fjsnJyfjf//t/x8rKSulHXXMJw8TERFy8eLGcKdTX1xdra2vx9ttvx9tvvx1LS0tFliKisEqcjo6csrYukyC4oP/9/f2xvLxcCWxWVlZKTVXdHwMDguXLly/HpUuXai+yj4him9vtkwulZ2ZmKsdcmAl2eot+stYuKWDeAHgE14A466d1GTk1YDEwm5qaKrsiqadEBrmj8P0aOogdg1Xl+AMA6d7eXqnj5ZJrygvQPe8utn3A7uHn8A0EE9gx/H3eZTg2Nha3b9+Op556qoBObmhpaj82wGpqaiqeeuqpx5iqOuYKAYo4jRy922RnZ6eSfkFBSEMZ6WPUXf2PQ/BBZRhXF5v/nzSuhbCBpf8YERQb2vGJJ56I8fHxePToUdn9xZhcFO1x2iGbgUOZ2IWDAJJqYYfDc889Fz/1Uz8VL774Yly8eLEUybqWq845A+wyzWuDy4WZpFS5Wy7n93PaCANvJ2rmxfU2AGAAJIaGNCApOrZMT01NlcMEibibCoP/3b/7d+VsGsZKWgTjMzw8HM8991zcvXs33n777VLThbI74szpT6dgPE7YWMAGjBtr4loD5mhoaCguX74cL7zwQjz55JOltsTOPDfqGxzB5iAi4vSwQmQVQHBwcFBYEaJBZMBMU8SpQXUtA3PF6fvs2HShe5Yvmp1DEyPnlvvmeqSZmZlYWFiI5eXlEtn6PCnmnOdkYEXDiXEODjJDIIEtMWihTz56A0e1sLAQTz31VFy7dq1ngb4DDhyw17Cv72S31OzsbLkKhhQXwMvyaRbU/0dfndIkmHHqE8YOhgpnePHixXjqqafi8uXLheV1bVBdw+5zzMalS5fKdnzqU99+++148OBBkR3mfnV1NbrdbszMzJQTtzudTkxMTMTS0lKsrKyUMWAPkXP+9noiL2RJ6lhoPkcGglqkpuAN1mx6ejrOnTtXPotddIoYu8ca00+DW5MUACsz3u4vnzWoZpc0MgF7OzAwEDdv3ow7d+7E7OxshWnnvXWbnCyjfi86ODQ0FDMzMxER8d3vfjeWlpYqOkGJTl9fXwk0vQEkZ6bMJOcyGJqxAMwyO5jb7XZcvXo1nnvuuVhYWChBG/W4Te3HBlhtbm7Ghz70oVJYR1qQiML1DYASnIm397KzzekGgwHfm8VnnP7DGOLAut1uzM7OxujoaONVIBHvX7zOvXKkpkxBEt2iFBMTE3H9+vWYn5+PycnJgrbfe++9stgUI7oOwykmDIG3kDv9FxHlWoP19fUYGxuLZ599Nj73uc/Fhz/84ZIzR8lw+Bbc3FwXRUMh9vf34+mnn45PfOIT8du//duxurpa8uZERig1u7v8PEdsZhpQBiLI5eXlWFtbq4AqAzBAKdcc8H5AytTUVMzNzdWO74033nhszTEKvAuW6IUXXih9opZrf3+/4ny9ZvTLxoZnkxYj2nIK0J/lz8DAQFy4cCFeeOGFeOaZZ6LT6TxW/1LXbty4EXfv3i00P8+2ITTgyvVCRIBmknP/rCM4BqdbNjc3C6jy9VN+justs7MHIPVquS9ORbAOY2Nj5docQDq2yXVcfB5w4efZ2dkJ17FS9MXpTQD4wMBAnDt3Lm7fvh1PPvlkudj5g7Q6Zo70jutT1tbW4vvf/348ePCgpFYYg/WOfjngMfuP83LNEgDcoGphYaHsMh4cHIyHDx/G8vJyLThxQ4cnJibi0qVLcfny5Ziamoq+vr5YXV2N733ve3H//v2ydd61sCsrK+WQWg5anZiYKDVMi4uL8fbbb8f9+/fj7t27hckC9BukZWeeA8KIU6aQjTHnzp0r16w1MXIE+ZOTk3Hx4sWSYuOy+c3NzTLfvkLKTDcBBr7QdicH3/hWs7bWBdKltr+Dg4Nx5cqV+MhHPhLX/99dmHU616SHeX3tsyKi1DeOj4/HH/7hH8b3v//9Ah5htJEF9MrnzNm/2l/lLADj9ckA+H+OHDp//nw899xz8eSTT0Z/f3+p/+O4iqb2YwOs3nzzzXj22WfjYx/7WOzv78drr71WLviMiMcMeQZZCAMLZMODsGDgslAzuTADm5ubpbh5eHg4nn766eh2u/HWW2/FgwcPKmeUuPUCV3nHF4pZx8JcvHgxrly5Um6UR4EePXoUb775ZjHsLgLPkTxKk2lNopft7e1yg/25c+fipZdeik9/+tPxwgsvlN17fl4GObnlHRmARZS7r+9kq+rNmzfjD/7gD8pFn/fv34/j4+OYmJioRBYHBwdFcDEUZupQCs5yWl1dLTtIzLowBhdhclkqJ/kCaMfGxuLWrVuNFLbTzwZrpHv29/fL7pUXX3wxlpeX49vf/naJDtmBwjNccAn76CJp5pDUJo7CuwGd0qBfc3NzpZie6M9sb9NW9p/5mZ+Jl19+OV577bXC1NIMqgyszCbzO2QBkID80Ad+fnh4WNIRrdZJLePa2lq5YJVdghhVxlfHWHn8vQKcuu/khoxhrB1osUOJc34MUAyaXWtjp8TaMx7XbfH/iNMDZmHQbt68Gbdu3SrngfVqZg6wKTlVC4vPu6anp0uqBGamLsV5fHxcglNSVPQb+wyzYAa40+nE2NhY9PX1xcLCQrz44otx69at6HQ6sby8HIuLi+W5tu+5AYrOnz8fd+7ciWvXrpUdkqurq3Hv3r1yGK13WrdarXKytsF3u90uZ5bBlL733nuVshTey9p4LR0A+d/MAzrOTmiAStP4kIvz58/H/Px8OT6ElOfDhw8LmMDfkU0xS0kf2EEJcALYe2zon8tHbKciTkE510m99NJLcfPmzbKmOcDBLjYxq1n3HITw7kuXLhX7d//+/Uo9ND7TfyPTlmv8WK5Lcz9dBkCQvru7GyMjI/H888/Hiy++GNPT04UcGRkZKXe2NrUfG2D1xhtvxPLycjz99NMlL07aLOL0kmWiCCNzRwo26i7MhJVwQ1FMBUKTdrvdGBwcjBs3bsQLL7wQb731Vtn1kJWiLhrPDTbNi2ylBVgNDw/HnTt34tKlS8Wwsgvi4OAgVldX4+7du7G8vFzOPMnCYieK0AGuiLiJ3K5cuRKf/OQn47Of/Ww8++yzlYuTbXyYc9c/ufk7dpxQ5zMzMzE/P19OLL5//34cHJxcddJut8v5VlC8KIznKCLKLo6IE6DJRZzs9IOmjzgFg8x3RFRAlQFru92O69evx0c+8pGeufNcC4Oj4YBUgMX8/Hy89NJLsbS0VFKCOBzXGAGqzGQY/Lj2yHIUESWdS59Itz755JPx3HPPlas2zNrR37r22c9+trCzr7zySiWwyewO8kq9mtcps7DIh1kQghOzCnt7e6VYfWNjo6wdf7sff5zm/tLszHFaMKeAPgDu+vp6CWx8dhYMNHUbvq/UOm5WKtfNMF4/Y2FhIW7cuBHnzp2LiNM7QuuanaFZfmQWQJQB8uDgYFy4cKGkeTiugCJzrx39dsE2Y6PcgbTw2NhYYYeOjk6Od/hTf+pPxZ07dwobT30noOD9bOnY2FhJQ8Gsr6+vx927d8uJ52ZD0TfqdnZ3d8vp4MzB5uZmfPe7341vf/vbsbS0VHTMNoTWi7EHUKGT1JECqtbX1wuLVdc4rHV+fr7UV/X3n5w+fvHixXj11VcrWQeAC88kXZfrM83kGAyzllkPbDdZV2r8Pv7xj8dzzz1Xjm/Ja4WcbG1t1RZ458CIz/uwUp558eLFuHHjRqytrVV20NvG2P9BqgDOMnAy4+g+4PsB5UdHR3H16tX48Ic/HJcuXaoAZeoEewGr1vEPw1KdtbN21s7aWTtrZ+2snbVo3sd+1s7aWTtrZ+2snbWzdtb+j9oZsDprZ+2snbWzdtbO2ln7IbUzYHXWztpZO2tn7aydtbP2Q2pnwOqsnbWzdtbO2lk7a2fth9TOgNVZO2tn7aydtbN21s7aD6mdAauzdtbO2lk7a2ftrJ21H1L7sTnH6utf/3rlGhbOAeG8lJGRkXIeis//4ZwPnw2Vzx3xmVdNJ0jzh/OGOKyMA924XoPzXTh8Ll+v09/fH7/8y7/82PheeumlGB0dLQcL0mcuPuXnEdVzPnxGVj6vqu5nngcfUOgrfnymUd2p2pxB5WtiOI2bc6r+43/8j5Xx/fzP/3w5XJXrK86dOxdzc3MxNTVVLhLl/BDWb3h4uHLfoe/FqruQ1n3NZwJxcCaH3Hkc/lnEyXlWHEr64MGDeOWVV8pdZa1WK771rW89toY/93M/V86m4eR2LgH1Kdk+ibvunq88/4zFp6Mjm/nsIx+U66uLOBCWKxsYJ9fE+G7Bg4OD+B//4388Nr5nn3223OXotT4+Pi7X9nB2E4eZIqOMdXh4OEZGRspnuerHVy9xPlPW33w9ik9kZo44mZp7BO/duxdvvvlmfPe73y0ndw8NDcU777zz2Pi4/PfKlStx+/btuHr1armzjTPy+vr6YmxsrJx0nQ/ftU4hx17bpoNB3fJ6ey05vyzfyoBNwhbt7e3FL/3SLz02xsnJyXIyNHrHdSvur8fDGngcrINP7HazPbV8+gw72xZ/hvPtuH5qdXW1XNLe6XTKfXGvvPLKY+P7+Z//+RgaGirna42OjlYOSvbfHKDpAzA978gu88LZYTyX2y2Q53xiPTLveUKOOHtue3s7tra24vDw5K7A8fHxIu8XL158bHyf+tSnYmpqKs6dO1fsZ6fTKWcZIj++Ky+P0zJW5/vQV2Qsz1s+hNd/+xDn9fX1eO+99+Kdd96J733ve7G4uFiuv2EO//2///ePjZE1u3PnTnzyk5+Mn/iJn4jr16+XGwC4H9RnJ9JPXwrNHX+9dDAfbJ0PCvVp+pxzxZlWW1tb5ZBiDh/Nl7H/xb/4Fx8bX8SPCFj94Ac/iF//9V+P9fX1yuFhX/ziFxu/g3D4ZHUW0kqfDYRBRDZ+dsY+DMwHXDL5BhU8n5/hMHz7uZ20D0OsOzwzIoqTsRGzMnPQJ4f/1QGk3HxgH81zkP/2yc8ZnPlPVireDYCsO/qMQwd96ziHJ2LYfUo3z0TJ+ZOvz6gzGPzJc5FBdQaldmJ7e3vR19dXDObExESMj4/HxsZG432Q9M+HP0acXinBIYrZ4eSTsOmbx8PPGEc+7DXiVI4z6K5z+hjRfFF3k3xGRDFUDjK4rYCDB/v6+h47eJH19Tr6ji5ak9H3nYjMpU9+NkgGZPhuP4IuDkttav39/TE6OhpTU1PR6XSKzDJWXy/DVUl2NAY7nn83r6WNfQ4GcjBjOTDA9nfdhyYZJVghWAP0I0t1dtSyw7pZZrI99RoaLGEDm4JBbk949OhRsam+emtnZyd2d3crfa4bn28/yNdcoSO2AXXANtsLO2wf9srzs83J/iKDVj6L/jFX6E7TlTZjY2PlAEpsp4MPWn5PBkOsd7Z9+XDiOl+ZD0P19xxEcR0QQc7y8nK5Z6/XvbocZjo7OxsLCwvlUmxkAF30YaDus4OVrDt5neqwgRs/sy9HD7iVoxdp0dR+JMDq7/7dvxsf/ehH46Mf/WjjKbWPdUROyiiTicxH7BuEePL4XUTV8GVHbPTO77Ox4xmODnydCkbEQts0XiuIETTKW/eMDB7rxul+Z0db15rYLv8/z5cNsK8xccsRwujoaIyNjZVoMjt0G8AMhvM43bJx57Ney/z5/GzYLU7Y5cT78fHxGBkZKXdR5earZwz+fKVCnldOLK4DsnlNzDxaDvKYeznourlDdpvWjoYOwvLBcNnJwqjkS7PrZNWOz44qX28TEeV7Zuj4Hf2ucw4ACSL3XsENd7Zx8n6r1aqwC8wvkSwO0HLt+cfp+Oc8ow70ZrvksbghN5YNy1Qvow6bw80CvvYkR/UGav6DjGc2w7KYAxVAscfs/voEbOQFMEPAyQW4ANq65r47aPBcIVcOVPx724s8PgN8Ttr2hb22J4zdfbPM8zMA//HxcQEc9Dk3AnCf5p/BT7ZzOeDKc2F/4981BdXZltoveA6GhoZicnIy5ubmYnFxMRYXF8s9rZx+X9darVa5AQMGD3uMDPjScubUbGETsKybp6wv1lXLZA5osFW+Yswg7E8cWB0cHMQ//If/8P/oO17IfMR+NmwZQUdExeA4yqx7TwYfNhB1yBclhhbmegucAGPuddWEDYD7wlizIHks2VnlsdUBK1p21HVKVeeg7eQzQs8g1Z/BGBNtZbYmRxB5HbLjt5Jkw5nXyA7MxsHvyQ7Bl2Jj1GxI3TIo8DzSJ0ewjujr1qUX2Mo/zw42sziWAeYX2cQo2WHUtXa7Xe7LNDvbarXKd3iX72z0WnnO7aj5t2XaAVMdkPaYPcYslzhnAHwTeBweHi7MJAwxwMqpT197UXdpcp3hZl0w1A6Ssl7bEfpndeteF533arDFzAf9Y+7zew16vU6ZQTZQoOVAsM5u1IFHAxpfAQRw507NupYD7exgcz/q7IDXznbJZR1ZV53eZOwOOHhPXfDA8+hPL/CPrhrY0gfLUZ3NqXtn/rd9aLa9dXPjOYo4vcuQvg0NDZXU5eLiYiwvL0dElHWsa9zXCutP6o3Lu2GskP/sM2w7sqwaiPF3Zh3fzwfm4C3Pu7/f1H4kwOojH/lI/Pf//t/jz/7ZP9vzPh03BNdMQEQ1QkHAER5T/xi1DF6MSD1p2Tl5UvPEsZhEx8PDw+XGb75LDURTc0Rkg8d7DBSz0eulMPn/2YjY4dZFKHlOsoB5DuhLnVGgr649yGlH9zFHYRicOmOUWx34y33Nf6yYEdV7FI+Pj0t0mu+QcssgIKcdcMrMB3OC4cugO0eKGfj6M3l9beyRZa9dXhuA1d7eXiP4x7FQJ7K3t1cZC+yVWQ+nZSwDvqA4R5l2in5e0zrnNc5OwPLWC1gBOrjz07WV2A/XUXhcWVcsW9kI09c6PemlZ5bfuvW3nWhqrluzU6qL8K2DBjoGB5kxycDKTKLlwrqR7Y9/Z3A1MDBQgC6ylxvPy4FeDrQ9x3WMhT9bJy/ZbtDqUlHZltBPdKNOJ5vWMQPauvFlm5MBfLZ1HnedvPm5nr863eM5yFmrdcI+TU1NxdTUVIyOjpb7EJv0ECDtO18PDw8rKUTYTwPsJrueQXb2n/zbspd1yvrqQC7LBPbcAUXtOjb+5o/Rvva1r8Wv//qvP9apV199tfE7FkgUJzucfJmko0e+78W0AWaS6kAE/auLbPw+ognn4bNzbsorR0ShgDOgMNiqA1U5oq+LKPzzPO/ZqPUCVY6mrEyAjiaHwVzkmp7cZ4/PY8IA1q1FNgJeF/+7zlFlR0Kf6lgf+t4ULWeDZ+XKwD8zEHnO6vrXaywGT72cbh4748Z5DQ4ONgYA1BXByFK4yeXhyC6pH9bcRiinksyCMK91Kak6I9+07v4ca4pjZl3qGrqL7YiIslnl+PiUHcKo182n+1AX0LhlZ18X3GQ7lMdqY+/vNDXrnoGVA0ye5/nLYNmMQJ2+RkRl3esCmAzk8jiwqThpQDYBQF3LACZnGSKqAaudpB2sfQsy7e/wnBzUItN5LZAfj5M5xHe5X00trx39z+uYwb6BlW2pbWqdDGcAnMFcXZBt+aGvo6OjMTExUS7s7uUH7QNJAUZEsTmW7wyebIM933zWfzM+Bzweaw5wsu11y3r7fnr4IwFWdTuO3q+xSBlAWTk8cQiEfx5Rr0y55egFgcrgxcKJc6JehUJfJpdF7lXD4nqbOoNaB6qyMlqB/D2PJ7fsGPhZnbPPgua1oQizTmnoA/OUmR8rbcTjALcuSs7G2eO3Q/Y6u++ZvqdvTdHg4OBgjI2N9YyWMxh0v+rAeVbWHC3lNesFqvKOR36fnU3d2gA+hoeHewIr74q1juEYMnDNxsnzlKNGz8f7gRKew5w0sVoZNKJfdQ3HbfuQ66sc4HhNsiPm33Xy6u/Y8dmm+Nk5Asd5Zgea+9JrjHnuLXvZyViu87rkz7gP+XN5zuocV913DK5IBzbVOeb6JOtV7of7EFFlkfh9Bio58DIgAgj4MwQRGQTZHhqkm82ra55vvufaNbfsI/19y0idDW2Sw7r1zPrtueFn2E5q+3Z2dnqCq4gom4i63W4cHx+XNGC2I7mkoG5jRZZf+wbXRDXNIeOCWPB8+rPue0+A3HPk/5dtZ2cnfvVXfzVefvnlODw8jJdeein+zt/5OzE6Otrze0QOdSiyDkG6LqIOwWfWK+JxNMuz8vNR+ByBHR4ellqr7e3tkjZAwZqcFn0ydZujvTp2qs75NrFX/qyVog5p2+jUKZKFm0iBPtfV6DiCcX1AVvqI6i4v3p9TDnn8fk9TszPBaGZjZ0U1IME5j4+PN4LjbKDy2lrm8vx6DurAcR149Oe9xp47p7J4ZgYh/Js6weHh4drxGbgZQDTNRRPDkWtgMiDl3/5ungvPk50bhtLODtBICqzJoDs1A7u8t7dXnu9+ZUdWN9YMXuhPnqemP3VzagBREr0AACAASURBVAddFzkzP00N2Uf+rbfZeeb+8ewmu2t7meelCZTV9bnus+gf/W3SwUePHlVqj2w/MpuMrNTZTutSnW+w7HmO9vb2ys8Jso+OjsrfBi3+Hu8ye1LXrPe91uL9gjP/G1mos6vWQ9sNs3g0B5LYHtvPkZGRAqwioqcv5M/e3l5sb2+XDTMOoj4ok5prrHhGntc69jfPn/tmm86c8AzX49W1Hwmw+qVf+qUYGRmJf/pP/2lERHz5y1+Of/JP/kn8s3/2zxq/44jKUUYde0JrMgZ1TJW/j8LZMWUnbyfpSA0DQPHdzs7OYw77/caXHX2OUvh87g/9z5/PgMk/89j93MyYZaNvwXJd1dDQUK3RszO0gLtftCY2o8kQNxmRLCuMg7Xwe2xgWSdHXMfHx6WG7v3AcZ7/3G/ki/RinpdeY8zvYUy5Hz57JUeUvMvzQeslo0Sheb0yCLIhI4XjlF9dEbR3UrI+PtvKc2mAiM7hlDBmdawRf5ooej5/eHgYu7u7lXOjMivjMddFx3V1HV6vOufgz9Q5WOu+GQEHYr2cMrJhx1Dn5JvAcl7vJrtUBzhzUONWBwryzwjIhoaGYnd3t9FpcVRDZqLcR9t3fu+5yO/PY8h2mu9k+2rmibHn4MHvzXaqruWz63IQjO1F7j0mfl73x/2zbeY52S7gQ/leTvkzPx6Py2R6AUiP59GjR2X3sUsO6uYuBwZZr/Ia173X9rnOZnI+X9ahDLzer+znRwKsvvOd78R/+S//pfz/H//jfxyf+9znen6HyKAuUrMQeGKbosc6wWoyYnlRMiDAiTkSPDo6KluEcWC8nzqP3OqAEO/Piu4+eTeV+26DmWnaOuOXAWpTJMSzDbhyJDMyMvLY+N6PZbQRy2Py57MyZeDkftWNIxusTP0z3zhL+mwn2FRjdXR0VFtz0mTIshPO4CErdt1aeE7s6G3oHEVZTywjGdjWNVKApMc8Hm/cgFkwoGJ+HKBkYFK3M82f85xaV7zjlp9lx5WfW9cwkIBHH6mQa2nor9nXbNTtALxm2Z7UjbkJbOT5yLU/GUTn5iM1mJesV7nPvI/1zMDY815nv5iL3Dwm/p3T2Hbu3vTQxFjlui7bJo+NuXJfDEryevJ3ti88LzPCyIw/m+c599E2sGn9csofncoyzf/rmKasR+hLllfbPn+fluc5y2Bm5LPtbBoj73fpAXKRbe/x8XFJvzIn/f39Fbmhb9aLDNptF5tkuA4HAPhYF//9J85YHR8fx8bGRnQ6nYiI2NjYaHRWNHYrWSGsIFaKiFPDl7dxZ3bHCkTf/CenvVAiO4fsKGyIbKx8GnVurjlqikSyozEbkJG758LKYkNGqzP8nos6UMRncrTV5LRwWG7Z8HkeLbj+npXTTpX/28B5LHWOi++4LzZ+KCh9ywazbox1yuhWF+FncGQnleWlV5SX55ZIMu+OrXOAzKVZutyocWBnjkERKUQOVPUZO34+uwpzES5z47Xh/34P/3cdS7tdLSj3IaJ14K2pMR8YxLodnLYr3snoec/AJDPkGVxlYGU5zgDLzfLqd9ke5uYx1TljO1DGC1MEaPYuzhwM5r6b2bBOZ6YDEJtBg3Wjbr7rWl2K2WsY8XgNTJ6vurE5SxJxWoNlJ265zqxsXSmH7blloqnRDzPH2f9hN/h93VEDBsQ5K2F58N+24XljjwFFtoMEqHX+ra5xtEbuS5ZZgp+I6kaCLIMuO+GzTcDTzTppkGz7g62hH5zP9f8JY/WLv/iL8Zf/8l+OT33qU3F8fBzf+MY34q//9b/e8zsGMxHVyfHP7agMfGzg8/cjoqJwjkIQOjsJK2V+jycVxaM1RW4RUfLOpCCanH9mNux8LDzZKPvvOso5Kxl9Z+6yEuSx+ed1CkPkQSFnnWOpiy4jqmexuJ/k3Z1ayxF5q1U9KJD551msZWZ4soPMgKuuETlZ/mh1+X/eawDnsRvs+Wc2vpmV4nMYM57NOlqubARJe/Xays7ns+O202WO84G3ju4AVwZHPDcDIMZSdxwDsuG/na70fPgA317A2LUcRMh27GxMyYdkZiDngIpnW6fctyxvBrk5tWLbkxmRunlpWsM6EJRBvuuaYIt8fUuTI6Of9IPxZBAPSCe1Zx3OfeE4EGcB6lre9Wg7n4NP25smQNsU3PIc62P2Cwan1j0HaZnZNUhrWj8fA+JNI5539zMHBXXgLsufdcIgzvPhPuDzYHh5lgGcbV8vRoez5PJVV5lxYk0ANqwlcvXo0aOir9bjDHTzGtfVcWd/gF3zOnnsR0dHPY9X+pEAq5/92Z+ND33oQ/HNb34zjo6O4p//838ed+7c6fkdK4MdVp1AEQmxPbzpYDszWXwXg358fFx71Qq/s0GhT4eHh+XYfbaG8lkDg7rm3K2drRedeaAxRhuHzCDR38yy1YEGG3Q3DF2uCXL/cs1HbgBG5oL3WNGzY6M/rBW1E15/065OUzHfrCOF2bmw1c7K0aB319nB5ZSQW0612ejW1RfZsNuoZ1Bt58p7cuMdBqjZeHq8DgbMJHEqctP4eJcdHkWpo6OjBVA5FW4nc3x8XNKIBCFDQ0Oxt7dXvsORB6TNbdw990dHR+WgUuqitra2ypEQpuaRA06Yb2pZlr0Wdob5Djj6aX1oAk28x2tqncxAPzMmEaen4LvZcfYy6ry/Tv6xn1l++bnXNoMF+s1nM2DnfrWtra3Y3t4u56GxfnWBJH8jD72AcUSUftUFdznY9JzXpYksd/TDTIqBvh0x80TA4aAq9wUdGh4eLnasru807Nze3t5jaWjeTcOfWa4IXuqIhTq77s0qnhPrlhnGzMDav7qWkufUtYmJiZiYmCiny3PWJaxmtv+AmJ2dnco5iVxlhU1ysAAg89EYnrc6IOyA2ERKtt30r4k1jvghA6tvfOMb8clPfjL+83/+zxFxcu9RRMSrr74ar776avzMz/xM43dhceqAA/+vi7wQLkfRHIXgf0dUHQYTWWfUjEpd+4Vh52JNjAcC1AtY+XmcD2Tg1G63C8iwYPHzOiMeUTX2dQaFd/M5g0z/nJ9ZWDIQca45N7bXtlqtcgeYnTyOkP5lIOy14vdOCdpJmBnxyel1aSea2SyDupw3Z/3rmg2wgY5/ZtnKNLSdbTauVmCDZK+tZdQggH7ndTGrgNxxunFd4/vMEwdqYsDGx8fL/zk1mbF5Lvf29ipgeGdnp2wKGB0drTgd38fFXLHG3W43NjY2Ynt7u/SfXVmsH/Ll1F0vg0df/ZyBgYEK02YwTL9YY9aGo0eQAQMh62SWy+z8vea2a/l3Bj+9wD/rbkCdI3SAAfKEvNqG2PkgE4zH4BSZYq02NjYK+EUOeH9despzZlveq/HZzIDbPvIMy6dBIQ4U0JRLTbItIHBD9u3MDZaRab+D78KQ9gJX3JVHAIlNZdzMD+8CeNiPOCAw+KFPlgdYpZy6t//IbJ7lkUa5AKf+R0TjkRmjo6OVuyzNutMsN+4Da0rNZ77w3X6EeWfcGaRmMsJsMHOfGTsHFX9iNVavvPJKfPKTn4zf/d3frf19L2C1v79f0GWm0m2E2EWA0tpA55uvmXicAZMcUU17sGhGyzbeOAcbj263W8AVNGUWNjcW10YpU70oJ4YeejwXlUY8fhZXzn1HREUBcprHhtbNTiEjdit8btzgnh0bTgxja6bA7ACsiCMQop/smDhUjjWBPXRUzHOZN+4uHBkZqUSizB3zVcfGeT5pBkuO/OyskLMMdD3X2XhhKPP/I6r1bZmu99h5NwbYaRob09xwFDwPMAWz6+eTNiNoAfQ4wtzb2yvzTMTu9WSLesRpMAMLvbm5GSsrK7G8vBwbGxuVQnNSCPTJhrbXAag2iD5dfWhoKB49elTYvG63W7ElTnsiT6StcHY5TVAHknKw47RJBvcRp2A1M3kZUOQGqPVuKxwDa8BZQ6Ojo6WmzsCG5zfVqPB8gszNzc3Y3Nys6CJ9dQrVTGZmkVhLB1V1Y4s4ZUeYe9vvHNTkd3ht+L6bgVtOqxnEOBiAmcqgijlEPrHtvXYe19kFzw+y4nVCprKMGQz5eZYt5joDsBwoAtIjTrMcgFPG1+l0YmpqqvFIl4iI8fHxmJubK58zUHTwzDxgTwiwzEzBBo6Pj5e7aQFbMOOZeWYenN50UOffZWYvf7ap/VCB1d/+2387IiJ++qd/On7iJ36i8ruvf/3rPb8LODGj4kgxMysR1ZoJLu5kkT3pY2Nj5YJdbk430LCzt0PEyG5ubsb6+nqsr69Ht9ut0NxEuRFRoTVzs6KYuaD/ESfRiiMOjLqNO87PdSoZLGW0bwqad2bwynPcUHIbqF7AqtVqxfj4eKVvgNLNzc0yb4BinC4Xx0IRE/WgHABiK9jGxkasr6/H2tparK+vVxgxR0/8YV6d07cB57vIQ1PzXGQmz+/2jfSOBjMjieHLtLtTLJbPOsBrJ2YjYsdgh9k0Pjab8D6Ckr6+vgKaOHdmZ2cnOp1OjI2NlTkdHh6usGP8iYiiI54Xp3TR8Z2dnVhdXY2HDx/G4uJirKysxM7OTlm7kZGRxxjKnBpoipQ9NtLRyOnh4WE5T8cAB1DuP9iRg4ODwmJk5sQA26kWr4ftjfXMgDmDLd+jVtfMVCFX6KydBRsVzGiZTTo4OHiMmcnvIE0LkEIGqCfNtsPBWavVqtRdGVAAlJvG12q1Kmmy3H+zUnwnolpnlVkXf9ZMD30HeLMGBiDYao/BTAgy6qCvKQAHqJg5sh80mDJwMlOHvfHPHWBZvuw7Dg9PS0Esw55L5AkZBJhia8bHx2NqaiomJiaKHOTm6298qC/rQ10tc0e/DQCRH7NJ/Bu56+vrKwGDx2423QAfWaQhZ2ayzPr2Cm4+MLB6/fXXY2Njo/Kzj33sY5X/f/WrX439/f340pe+VEBWxIkx+5f/8l/Gpz/96cbnG6Vm5OwJjzgxdqQZWWgcEEKTjdPe3l7FSUdUd3CZ2UGJut1urKysxNraWmxublZYslyoh3D2SiPZAGAYWHQLhfPIZt74HMrD+4yoAXo4QgAiuxkcAQFCc5GuIxynvXpRoOvr6wXA+N427zJznQ8CzXwQdXQ6neh0OgVktVqtAlZZawOr1dXVWF1dLca6v78/hoeHK+khGBePnbF5DnhGL4XJ4JR6H4MrGzb6ANjyLk8bdZ5pWWDdcIL83LUINr7ITK6RQVYzG5Fbp9MpgAdWg5QXDEW32y2/Gx0dLeAKh+qCdr6HLPb395darczwonOrq6vx4MGDWFpaipWVldja2or+/v7KuzB2yCI2Y3BwMCYnJ3tGko7YHd1nY+saSsDV+Ph4TExMRKfTKYHa2NhYHB0dlcibZ5kFNXCIOC1CN7PiYDH/bYPuKLuXjBLZZ0YQXXI9DPaDelUHDhytYgDoOeRZpHbMlpjpMijf2tp6bFx5fprSgbaLBl9mxPAXZiWRkbwmtMwQ8ff+/n5Fdyzj2E10wUGtgymni9HTXjYmM/SeT5MM2acwRgNIvo9dydkIfyazipl1PTg4KPXFyDcBRrvdLgExwGliYqJ2fFNTUyUzYRtFHbJZOWdxxsbGKuvrsZDad2kAKe9Wq1UCfC575t/YJmePCNJypsvYAhlsah8IWP39v//34zvf+U7Mz89XBPHf/tt/W/lct9uNb33rW7G1tVVJB/b19cXf+3t/r+c7ctSCAlnJEVLT9BGnBX84OQML0PXu7m6lKJXJ84FmfM4pv7W1tdjY2Ch1UdC5BnosGotT13IqBQfo+g5HEK1W6zGnyh/y9aZ5MQJmFACcCFI2JnbE3vXliMifxaHVGfWtra3KVnwrp9fTlDaAy/UEjtLb7XaMjY1VqPWsIMwPwj4yMhITExMxOTlZYb8wGIBCjJ9THo72mmSUP2Yr6QfrZ4Un6gEc511XNpg5mvJGCcu2tyCbvYQt29vbq1w27GiWNa5rU1NTBVgxF8y55QsZb7VahREGCHc6nQqD44DFAN8XsQLaVldXY3FxMZaWlkptFQHA4OBgATeOINH/vr6T+8rm5uYanVZ2TJmhYUw4P2TToKDb7Ua3243JyckYHx+v7FrF0Tu15zUzQ+c0eAalgMacSrQzbAKPZiScxnGJBP/HmZl1sW0z+5OPluE7R0fV66iynYuIMo+AHe/sM5tnR9/E6AwPDxedhiWyzfT7sCkGrvQvs/qWDcB6Dva9axRd5jYRB8kO4nHsdbpa11xn6j7wf4Nms5aZkXfwZ7tidpvxupTAQXr2F/4d8zE6OvqYb+50OjEzMxNTU1O1Y8RGmMVzmYt1xwGQdxFazjw2bCbrwzxQjrK5uVn8e7fbLYwr7yF7gt2mFhF84A1rTdmpiA8IrF599dX46le/2igMtM9//vPx+c9/Pl5++eW4fft2zM7Oxs7OTiwuLsa1a9c+yKsqNL9BlelBFgIqMeJ0BxFsBhOI44uonu47Pj5eHBy7CDDuq6urpXYHo43Ag7Sh03mvAVDtRPdXtwgbWBmEGGSBtM1UwFyR0mTO6lgOHCHCg0AAKNwftzqjhiI1OWbnvu1UYZCclnKK0uwh4zAwRsABoJkiZy15lp0T/3f61wbXDI7ZpV5FiciajTfGywaJuYdVZL2p9QL4uCbDDA/rtr29XYAy8uh0Ad9zhGpqG8POfKEDdW1sbKzME84X+bYzRNYPDw9Litf6Mj4+XoymayXsJABJ7XY7dnd3Y319PR4+fFhqqghUYAXX1tYi4iSIARQ4xUTQY2Nd12xfcsrE88N6EZzQd2oJDRZ4Bk4LQ868bG9vF1aTFJ1tEYENETIX2Rp459RS0xgzaED/JicnY3JyslKHYvbezI7lxzJNQ68912Y6zLzadvEn4rQY3LamjkHKDTtspo9+5HdmloZ+2m4iD2ZC3GeXPuRAlBITwLPrQ0dHR0vfvDaMrWl8gEYzh54XxoV9sT0wYLM9Yi2xVdhNAk4YWnZ1OqNg/XXqE7aWLI6Dx4mJiZibm4u5ubnaMcL24vuwuw4IDg8PS5+QY/64PIZ54vuWI2eU0Me88Yxx8lwHiQSI9AvbnNPIde0DAavnn38+vve978UTTzzxQT4eb7zxRvzyL/9yfOUrX4mVlZX4G3/jb8Qv/uIvxs/93M81fsdKiWLagbnOxBRhRrEYx4gTIdza2ir1Hc6FU4CKU+Sza2trsba2VoypCyQdWRk0YKBctFk3PowpkT7fs8IRLbLg/Ns1Ky7k5Xt2yDg9s2AGdNmhGzA7xcSz+TfK01SYmGsD+D/RpFOTgN4c/fAHBg0FJpLe3t4uTMHx8XExYk45drvd2N/fL0YCh2ImAADsfDlAoqmw1PVLyA1zxDzi0JwCa7VaxWjZybLLzsAWg0I0ZcbKtSwGOk4pRZymXcxUeS2bAiT0yyxKu92u1NMQRaKD9MvR/s7OTnmHHa+pegBxRFTS1sgZ/wd0LS4uVnYS5R1IfG9wcLARGJsNcQ0mLA7zTwBidicXs8KmYYzZFBFxmtbc3NyMtbW1Iut836DCa2ZWy8W3EVWGoVcaCf1lnAMDA6XuZXp6ugSUMKcGhdgM1tSpfNtBp4lsP12KsL29XSlmR39cK5oDGwfOTU7LzjSzMQ4izf5nttBBpQMUpwpdl2b/Y+YJ2wNDTgqMomwCctYxp3PrmtlLA2lkxHO7u7tbsdcmIcz8m4k6Pj6OoaGhmJycjOnp6WI7NzY24uHDh/HgwYNYW1srPhP9dRp0cHCwyBTAbmhoqICRkZGRmJ2drWS43ExO2L84vckfgkvGxrsAQM5IsDboLqwYdgtgxdgAgdRumg2FsEEvCZbZEIJdbGofCFi99NJL8dM//dMxPz9fKTT7zd/8zdrPf/nLX44vf/nLERFx6dKl+E//6T/F5z//+Z7Aiud6iy5pCQZDGxgYKIXediyAkq2trVKDQ21UX19fmTgUGAVFAO38HKWgaCys38nkOuVR1xBwRz0Yc57nyJgFjTiNUvwnIip1BjkVilPOdQawPmatTDtD6/ozZglRrNxwVvTJaSfWBOCKgBskjI2NxezsbHQ6nSLc1LKMjY2VdQBUtVqtYhQAHpubm4VtPDg42U25vr4eU1NThZrOmwDoO06x1zk6rtEDMNlIM9eslw0E4NYGGmDOHMAO7e/vVzZJGDDzHKdbeFaujWhKrTQ5rd3d3WKQcBwYQFjD8fHxx1I5ODVkmT4hb46aXRNCRLi7u1tkh12InU4n9vb2SvE6crO5uVnZCYS82Kg2XfaOE3LaFEdAahodMkBhXK71Y51tJ9BFAwSzpMgXbN3o6Gil3s42xMxWdrC9MgcO0uiz088RUZzh7u5u+ZzTKq5ZNUDm+wcHBxUn5e8ARKhPheGjvq7T6VTKBcweUdvXCzjW1bKZmTewcvrZsmdwDXMDyEP/YcEMhizHrrUBXJ07dy4uX75cGHozg6yrme665hStG6kxdqNTSI8dI1hdX1+PjY2NMmaz2BEn9gIwMT09XQJlgDTrxh24ng/3Hz/n8gN8NrZ7cnKydoww47wzp2dtHyFCLFusn3XMdcKu5TRbRSYL3cKGOGBzBskpSftV/NYfm7H6lV/5lfg3/+bfxMWLFz/Ix+PRo0cV59uUenDDgDtSoM4h13W4TsZ0NYXNTIRTYNQlWTF4T6fTiVarVQw3xdA4sUePTrb3E3nBbqAEGKq62iMazs6AwwvjfiFYGLy6tKhTexGnURYFeWa4HFUSZXvXnaNAG5PMaPlndetnh+Gt+AYHrVarRDYRUQqTiaDYTYJSYURRJqItzsqioHJ7e7uki4h0mGNYDww6Dryv7/TgP97Ry6g7DYFsWAnJ43vLuf+wThlgYNxRYvQAXXCtBEASwzA2NhaPHj2q1Ao6FWrZeb+2t7dX1syAgnWCMsdowiS22+0Cbl0Tgd5Ql5RTC+jQ9vZ26TOyMDY2FkNDQ7G5uRnvvvtuvPvuu2VurEPMiwO+pqJSz7cZK1gv7AH6gzwQUMB62sA7pYdMY5xhwbEdgDqnkZBx5Jy1chTvGp1eOuh1c40IAJgaE9fwYRuZC6c+mFfk0IXATv1ie0iT5HUwU26WzClZg5peqU6+b8eXa1RZa+wCzhA/gS+BeTk6OoqxsbFKYDgyMhL7+/uxvr5e9I71I71kVszPJJ1rW+g17pWuRo4Nss3yEzQ6JQYpsLm5GQ8ePIiVlZXKOW3IC+MCeExNTcW5c+cKKFlfX4+JiYmijwS8AEPWCn8O4HRpArKPfNc1SjeQl5whQUdarVZ5hnGBS2nsR/k5QHd4eLjIKfXS3W63BAmsAfKbayTRNwdc2CBkual9IGA1PT0dH/3oR3siNLef/MmfjC984Qvx2c9+NiJOjlr41Kc+1fM7Tk0hFFZSBM60sw/sNNuEETMwYCIdQVpZ2BXm9AvUMUjeNTMGJRi9XrnziKi8y8V6EVGhU71tPaJ64rJpaDMK2Zm6tsY1ah4jiunjKJwu8/zb2NUZdZilfPAbOfPh4eGYn5+P8+fPx/DwcCUdh9OCDWGdYDC3t7dLbU9EVJwhaZnt7e3CKE1NTZU6NNJ7EVFqWGA6qK0zI8R895JR1oO55fvIIYCeZwFWcL4YW/5P3QvABhlhfc1+YUCdejk8PDlME2MOUOYdmbbu5ZTNdPFOMyXMAUWqAFTmDxBAbdTGxkaRA4yS0ynogR0FNRqzs7PR19cXt2/fjvv375f0B8GHwQEywzo1jQ/A4flH3/b390uEjAwAwtEP0rowrjwnFx3DTvJZ0tP0kf4SWTMHBh15nRhnLztjHTWTurm5WVgqH3J8fHxc0iqTk5Nl/GbY0R/WlwCC8TgIMqMfcXqFWGaAvF5mztGrpvGxLnzXQJ3v4kNgFmBFCVaw4wAGACXAAyZxa2urABnsM+AZQMP3YE77+vqi2+3GgwcPKgEptg3nX1enGnF6OC9rF3FajO+0O+tKsfba2lo8fPgwVldXY3Nzs5I5AajABM/NzcXCwkJcuHAhFhYWClBdXFyMmZmZogsEOTDCDiIArozf8guz3bQr0PpJZoF143f9/f0xMTFRCaAiqkysN1rg0wcGBooPZVzMEfaZvjJ/6+vrRT7NBk5MTFTqTpl/5qIXkfKBgNVTTz0Vn//85+PP/Jk/U5mUv/W3/lbt5//BP/gH8bWvfS2++c1vRn9/f/zCL/xC/ORP/mTPd4AiTTtioG2YrSAYLH7mYj4MNMIMDY2Tw0jY0BJJ4uBca9Pf318OKIP+ZHGdymmabBwb78KJAFhIU7qOg2jQ9UpOWRGNRkQpaidSxHjl3RI4IqdOnPLDENlQsT60OsdsloH0Sl9fX+zu7hbDbRo/R3ouvHRtkuuFDGzthOjf4OBgTE9PR8RpahJZwsD39fVVDr4ElAC46Utdy3PDvMEg4VhZx4goDgej4cLofEwBbArO3LVljlwBVoARUjNOG2FMify8bk3ACmOBIUeOzNqgi2trawWE00fYR8AsaaBut1t+5lqQnZ2dIuuwB8yfQdbw8HBMT08XWUZuqAtZX18vtZS90mQ5zeA1wM6MjIxUQAWywjwy/8ypgwgHWCMjIyWdSSBDtMy4sWGAK1JHDr7qAp1eMnpwcHr+FDaJ92EPKAeYmJgotgdHCAjBjgLecejoJwwRcu+Ce2TFjs+1Svzfuutgk+82ySjNa4kddy0VdoIABeeK7THA9o5J0rWsI/NoJ+/njo+Px/nz52Nubq4w7q673d7eLrbVslXXSB2a4cIesnboj8H64eHJRpXZ2dmyri4nGRwcLAHL/Px8OaCTIzKomep0OsXXUsdIhgGdREZhLM1EOoVXVzLCukWcHtKJnJhlRTaQCb7DmgHGkC+YKWwQgQ2B/cjISAkcANCUGjG/W1tb8eDBg9jY2Iijo6NSL0dARebAfWtqHwhYXbx48QOnASMivvnNb8bs7Gx85jOfqfwsn3vlBtXsyMGK6ZO7iRYHBgZiZmam21nCXwAAIABJREFUskuCHYATExMxNTVVBs85ODiGra2tUrOD8eZdgCobM4wj6QQzOPST2q+6RgRRV8AJwOOZNmiu4UBwcxTI7xEAM118Ptf7RERt9Gja2EDCKYm6aHJqaqpEN5nJc60BwmwmJNceMO8Gfaby6WfEaXoSkIniuA6IBvvoz5P28fOamqMqpzIA8qwDAQHvch2JZcZzYvAzMjJSSVtZLjCYdh4ALqfLnepl3DynCVhlY8/coos4FWoQt7a2ypwzJstfxGlqBEMGG4CuESz4qht+D0NpZ+R0FQ4vM21NRaXeFeWUARG5U+BObaALh4cnh4gaEHQ6ncd2t7GOsKcEO5ubmwWgGHwQ/AFYcGgZXFl3m9bQjDoOCllhdyCyQdCB7RgcHCxpc8CH5Zf5QRddg+UUq1PmToED3F3m4MDR321Ks1hXzM4h47wHmXQg7ANPc40NQAhHC5M5NTVVABn9ZV5GR0cLGKG+amFhobAczpoQHNru1TXbLeu9Zds3j5DWQy/sO5wKBTxNT08XQGVSYHp6Os6fPx/dbjdarVZ0u90ytyYSGBdrhazB7rjvTSSDgzd2HJv5ZO2xD+gHc4dMMY/eWOKUueUegGQfgVyDLx4+fFj6DI4ggDXpg740MXIRHxBYNTFTTe1LX/pS+ffBwUG8/vrr8dGPfrQnsHLNCQMAuRMhYBAnJiair6+v5MVJO1Dw22q1StqHZxulOjfudBiL53QkymvWwDl9DIrz4nWN5+SaAgyQUTyf5zMGNRFRUVgrOwJvoXFDOJgTjCPfN2i0Ynt3jClmt+np6XKAox0pz3RRIOP1XDFuoiwDK0ftBo2mjQGpPq0dmWEcTrNY7gxavVZ1a2jmyZFQ7ityYobGBsCMmvtkAIERcP9ci8B4zOJ4fjCErk1wmiY3pyHNrrkmDiPNOyj05ruAZhvkiYmJIj+wP4yJvgAm0SlqgnZ3dytMm1OUvNsAiLRsXTOjjd5y/IUdPWvpqNh/WDucKzqaZRMWh/d4UwzgARnOTA5z4egcpr6XjHreWTPYXFhQp7sM0AHsDkbMnNCwRawLfcce+bt138OmM0YHS2b06xprZDbd+uN1QU74ztbWVpFHz5PnwnPXbrdjZmYmDg8PY3V1tRTro1vIztTUVMzOzsbs7GxMT09XgJX1mmDCzGPTGP175I1DsfGD1HD5mBHXz3E1E/7JR71gJx30so4DAwOVIACQiq5hiyhj4I83YzCOumYfmkFRljfXdFkHDKIcePF/iBrkBD2kn852gB+wc7Ozs0VXkTXsFevO8SVNrSew+kt/6S/FV77ylXjqqacqzgjj8uqrr9Z+79d+7dcq///+978fX/ziF3u9qhhkDzgiykIxqImJibLApAyoPSEdYHoYxUUYjWhB8ThimAfXtTgqwiDQH9PNEafgsK7xPjvwiFOjgKGxUmVWypELY/N3mS8Mow2X2QoiNtdSWAnoh+vZDCzrwCOKarAICGG+vUPRQu130xevk40FW/lReNYNBXRhsus6XIvB/Htsfn+vxppkVixH0ZZlz5nZowzE/W47d8ZigGGghWHiGWYcYWe58qkXfU3dCKki5NVslY0MrJFPKMaw2QiPj4+XdXQ6Jc+932c5MmOKvGQAblapV8OY8xz0AefhDQO5f+gDwYhTV8iai75dLjAwcFII7Lnh9x6X38+YbGest3UNO5nnD6fiUgiz3QasPMdBBGuJPNNvy7vTJE67wnoCvEk1GqAR+JjRr2t8FjlkvtEX5Cji9OJlM7r0nX4xvmxbBwYGCgsECOdKM8C+/RLsH3qG7ubgzgC8rlkWzFijZ5OTkwWcO+VLVmV7ezsiogApSAaYLYCf66L4MzMzU0oA6u59BOCRHgeg+6oniI5eMupUcg7qHbQypy4LcUrZMmPmm5s7sEXIBcCRwNXgPCIKUBodHS3lRdgK+uezughc6lpPYPWVr3wlIiJee+21Xh9733blypV4++23e34GwTe9b+dCFMGkOk1koEQthNNHdmR8jmeyCEQZplQNhgBANgIIZ8SJ0R0eHm5MBZJirHMoBmMGVfwxyMlpvgzEUHbAlc8jsRC7jsHvoj8YQObP4K0OWPnZzK8pYX7nZzC3fMfPdcTnfjF3ZkYckRjIUZOFPPE55tDj6gWK3Ww0HRExx3k9DKgM9s3Y4ay8exKDYNAQcRrtsTPILCb/x1AiD7AJ/L/JaWG0cBbIATU6jDHXivlAQ68f60BAhKHNRs1OjbEwbjZnkLJFHm1Y7fyRqbqWaw0BWQ4u7BAy4+BjCCKq9R4wg1nOMyDOgINxYkdIRdlpOHBrSgHSDKwNrOxcnM6i7w6iIk5T7XbAmVl3atApSqchPffYJWQYW89cez2bdnYiN4AjZzPoF8yt65Gy33DwxbzbHgBMXNrAH4rDzcKTMQEMOPXokgTPYdP6OaXJOzkmyOPDzmJTWFd0nFQnAA1QQMqOd9Evjkk4Ojop7AcAe43MlBnEWy6pn2w6UsIHQGcQZh8GWGTTizdh0RfbHoAVtb4EtNgibBllDOguMumAp91uV67NI5BCpxyM1cpp428i4ld/9Vd7/boxRfiP/tE/qvz/rbfeitu3b/d8VmZXrKgMBkBAvtpOxU4aI5m3grJYTKQFrdPpVLa8Hx0dFVDiheb7EVEM+tHRUUHCTQ2lxikiVDjYDOAykMtpJLMGNuT59/39/RWHxGfMxGX2xM7fKaZe4MO/z8bSQNnG1lGcHXfE6U4WH1TpVI5ZCwy/o0jLlJ2wHaXTLxnw1TU/35Gex+HohvXB0fEOA2tH+Dh98vsGvjgRR7w4FdPzOaVpfcjvzM3vNTvhGwjM1Llo1eN2XZB3/XirtOcuG1PPMWMBYCFn6AMyZ/luGh+fczG16zIZL+OwLMB8YJ8Yu+fKf+ygYWxIt+BEHARlFtt2i3452GsCWDgdwL+DycxOI1NZ17O+Ypva7Xb5rOXdbLZZH7M11kMclGWG9wG4etlS3pvXh99lnUFecJyUKgD+XPPJn/7+/spl8F6jVutkE4Pl03VNvNN21Xan1/qRah8eHi7sGrWztntmbexPLE9m5bzRifnOrCzgik1fTpvze5cJeL4YP2Boa2urEViZscO3eWefAThj9tlf3s1rW+fg2rbYvsVlBNvb22VurLO2YTyfZ2PrmoI32geqsfpf/+t/xf379+Mzn/lM9Pf3x3/7b/8tLl261Pj5P/2n/3T5d6vVis985jPxiU98ouc72P1lobBDdHGwWQ4GiZMxu2M63QwP+XQm1UWTMDVEIU4hOZeLsUEAzMw0jY/PYsAMClgoOxuzFDTmxiDFBjf/3zS1U0Z1zsMRUT4Ly4fu1Y0RxSIaMZBADnCOvMt/Hx4+fpAiOyVhWIaGhipMFX21MyOKYx7MnPAeO5FM99rx5JYZlgxOea5BFc4mOyG+xxx4/gDhBgxmvPiOdcWG2gak7jTqXk65DizSX/phvcTxZ+aQ9BJybhYmM5MwCK7xyYXbfNfzAuPExpJ8GXZTQ9bYqUfKFGdh1o9xm01hnDirnIKyfKHbyCRb1ZuAPPYJ/WX8Zmt7gX/bDrNMWUYYF7aS4NCseA6C6sCBZdvrYvaUdUNHAVWsvwEr6eJebADv8Zz5j4G67bQZCQqZea99iOunqMkx89Tf3192AuNskSuDS2TAgKaX/kWcZhj8LlghdNK1RLaBrLUBBkEpAAbfZh/ksgXYGIMpM+dOR5sZdD/QqyZgZRCMLm5vb1fAn/0gzB/9pC4OjIAseMeidQbGzgwj/cbHZ2YZP2KMQLaDOsem8UW8D7CCkfqrf/Wvxn/4D/+h5BS/8IUvxC/8wi80fu83fuM34l//63/d69GPNXLTVkKcgregojCOrCKiLKqVHIdsUMXf3j4ccRo9jo+Px+TkZEmJODqIqBZumqKH6WpKBdI354mpB+P3dlQ0DF/dzoeIal0OY2cuIqIirNm5my1gDhmv2RNfk2MA58Y5Tt1ut+zqsFNBqDNrRH9IO6IIWaCdfrMhMJjN9SGObPmcjZEL8jPNXteysfRYcsrFQCvT914vG4DM+JmNZE4wnAat9MWyiNwgk75SpQk4Ojr12mTWwuNivegfxs01S5wJl99lGWG8ZoldR5PBK+O03LFbuKn5+wZWgEVSlNS1ZBaJZkbN9WfMT13g5GexjnmOPf+Wjw/KGiMLdso4mTowxs8y4+TxGqz43/mPZcbAKrPIbqyxdc6MSF1zEFLXz8zSwsIAoswe8lnABL8joOOYmIgoP+cPR2cgLwTmBpLMRWYmWc+6RjBkUGUb6HV1WhyZYrzs5I2Iws6Y5Y04TcnVZVuwmzDM/GEdnWalz8gGDHcT62hwyDPQY37uIyfMfOJPGD/9cIaDoN6/N35gnm2bsmyzZjCGYAnbc5juuvaBGKvV1dWKUj569Kiccl3X9vb24t69e3HhwoUP8viION1a6YiZiWaBQKNGzShHRDy26FDhsE1mtzLQAbUSrXBgI8LqHHBmeTjbZnV1NZaXl2vHRzThHXbQvjnCiqherGzGyEyVGRHTuvTXDI4pcp5v5sTOymeF5TRiXeTL+kEB+1wgii5zGs3OlH5jbGxQMEhZNgxsDCgN/mDq/HsXJpv1wLj3AlaO0LKjMvAwo2imkL8zRc04GDM1BcyPQQgAxuOi5TEa7BtANrEdGAq/w2khr50BFuMnfeK0OoCnDjAaCJP6MGjzOmbQEVFNn2LMe6WRsr5gWA28ccKM0ykC5hRbYUBLs2N3HZHZr7o1qAMwfo5TJdbH3OrSQHVA2sAxM7BmIJGHDGD8PjN5Bj4ZUJh9Yw783Lp0fm5bW1sRUa3Tsz75354Db3JxCtCsGg6Y4IAaK3TbrDoMH88zuPLRBGadmVvG29QIiFzDBzvmujmeA/gBCFA+ERFlU9f6+nqpT+J7AwMDRa5cE0cNEoANkMn8GQzlulC+3263G09eJ1CsAzr8sd335h3WCgKA1KvXub+//7GaOeQYhtHBlNcU8I1sG9A6CwAQbGofCFj9lb/yV+Jnf/Zn48//+T8fR0dH8Vu/9VvxhS98ofHzy8vL8alPfSpmZ2eLQLdazXcL0nBypsEZJAsJesxRutMqBlqOEAw+cqrEhwuiLNQnmYmwQth5dbvdePjwYSwtLdWOzREMqbLsiJ2ay6yKlTOzEk4jIWSux7KhsnPjb89PBht2coyjzjHjAHB0nkcrScQpCDF7gGICDHP0l9NmFnre78jDa8Vc+oR1O0uPtVc06fXLjig7EI81z7WNLBEvMs65M/QBI8Z6O1rzM53atAP2mJmfpuZ1c9TvtXfEaLauv7+/HIqJQQVob25ulpO/XWyL7mWHznippbRxy4C6Lmp9P7bDkT5G3AGO66YAkAY7gALPQV2A5BS0GbcMhmmZUeYPMucdg03AymDJrLo/b+Dk/rsftqmZnTJTYQY/M2Cuy/N76+wd780yl9vW1lYJ2NzqvmuQ5iAmompD3QevmcEZQMz3xnG0D0ABUJ5TmbZhBtBNzXYGcsFjJL3H8+g/wMI1qRsbG7GyslKYWbM/DtCdsoQsgJUbGjo9sNh1RsikN5bQp17pXOuc7bp9j+vCsDf8G1DLDQIEpVm2bSvM2JPa5bkEnS7FiDgNZG1nnMkB5Ne1DwSs/tpf+2vx0ksvxe/93u9Fu92OX/mVX4mnnnqq8fP/6l/9qw/y2GpH+qtbiUG9jowBGYCrOgNoNAyo45ob569pBwcHJeK10jl6RPmsoPwcBfV9RHXNkZWBi4v16iI7KzfPyVG9+5MLMQEqbLE1oMjG24yMnbmNXJNRYE7NxDlFYgVB8I+Ojorj5YqMOqau3W4XOptTxzkzhXfwnszg/T/tnVuIpelV91fVruqqrsPeu87V1dWHdM+MPQeHkInihYrGkUjikIuISDDoqMQLCRLBGIOTuTBhVAQTBhnBC0kixhhQZCDxeKN4o4IQJtEYiMn0dPfUee9d56pde38X/f2e+u2n33dP9MvAx/ftBUV3Hfb7Pof1rPVf/7We53H/ciPgefF8lqWTDHI8r05beY48Lx5Xz4+dhLfn83nAP++wsbETyXXLu97yjQ9lRj2fczv4XBftdNkpxLUe3W43dnd3Y319Pba2tqLZbKYI3NvuDay63W7P5gTWVMT5/XB523Ng6+eXzV/OFjrNlgcXOTBBP4rYyYhIUT+gBL23ozcTmDOsRcyY0/N5wFMkvC8HdHla0z/3mmFMYGWHh88Lyr37i4DIum6dKNKdHIQZrLrPDo5zyc/Lylljf+XBmNkas7fMJYDfQBadHxq6f4ZSo9GIjY2NdM5TxHmGBJ9jlgvA41rXfqCKcex2u4mRcb0R45UzVx5XxnF3dze2trai1WpFu93uSVea/T87O0vr03PZ7XbTxc7NZrMHXFlPsKv4GsazH7BC3w3sPS+0wW2lv5y0jl+HRbNuO00PKHY5BnPCOmU94mtoGyAO4gCsAMAuk28LWEVEPPHEE/HEE0/Ec889Fz/7sz/b929/67d+K1588cWen/3Mz/xMfPrTny79jIvzHEnYIDDwUHigYu9+YWL5PXcBwQRYuVjYUJ98j7PnmPw8MqMtdj6+g6tIbDByA4LhtLJbwfkZC8dFvdQcRTwYldI3I/CI6ElNFRnv3MHmi7oomvTOTZwSzwAQYBQZP1JFnA8D8DULx3UQBwcHsb29HTs7O3F6eprORpqenu4ZM4BITtt6J5ijKzuDfAxzsbOgf3kKmzFwH82KGvj6vfw/d9aMJ7pQqVTS/XwGVaayDajMcDCXZWmW3BEaEJrFMsCpVCrpkNRqtRqVSiX29/djY2Mj7t27F9vb28kAOWAwmKlUKslowUbSF6c5yoTxwrH1SwXaAHvO8z7n4JZ7D7lj00e/eIdUznCxBgGgrhNk3sxOMn85y27g109Hc2Y6Z6dyvUPPcFoORnKmkuc4NWLQwlwZrHiusbl50GO29Y02H/jYGgNI9ytniACB2COvYebZTHwOsn0WWbt9/zqnRqPRkx3g3WZN8xIGB15lQrvNsjsYtS54XdjmdDr3b0fY2dmJjY2NpLN52vbs7KznmjaeRXoNkAbb3Gq10k0FziRhZ9Bxg7ciAdz4y+wS82LwyJgcHR0lBpzAyzVgriv0ePAvLKCDWHQZAIb9wX7bLmDLnVUokm8bWCGvvPJK6e9+6Zd+Kf7jP/4j1tfX40d+5Ed6BvKN6q3YMeaoslKpJHRr4+D/58bUW8EjIgEk3wpuNgWD3uncv2i50+kkpM95JSijc72mrz3gZTsFDMLs8GxoWMx5CqEoMndRH4ga48Z4omD00zltG8SctcoNK++2I8/FDBLOhGcAqgCPOFgiMt+nxiLf399P9VrdbjddNNpsNuPs7Cyddh5xfl8bbXMdCtGUz05hsXjxMdY5mLeYUeVvcibKkT8L2ZsAeLd1wukI5jivZSI6po02bjwrZzzMVPFl0JYLxsOGiH4jZmJGR0fTUSVs0Yaid0QJuMZIeozMfpkFASjRZpyagw/+jra8UeGzxyEfNzMndtoYc+onDw8P0yYeR7QwP+j52dlZj5PFflAEzVg61WBGNA9uzGzZ/uTiAIcxtl7nn3O/WbOMvZ0LrCm/405FAD1/U1RjhO5io3P2OK9xpJ9Fsru7m8B8Pp85++RA3aANxw4I9Nrhe/pq8M8xDRGRGHZ0nrHiZHeKx3Og5/eV6SjrGjvKgaR8jx3NC7J5/unpaUoBbm9vp/dTwgCo4l358SguM3BQCNFAKs1tQt95pndL5oK+8XszTF4r3t2NnnEJPfckQqp4gxTPR8eYb+bT6eScVbPeMUeMlUGk7XiR/LeBVb+H/fZv/3Y0Go34xCc+Eb/xG79x/pKRkZibm+v7XChyN5jvrZSOMuyMWAywVaOjo3FwcJDSc81mMyLOHQNHKzj9AELf29tLVxiMjo723CeWR7rOzQJwiiRn49hebsNJfz3OXkx+t41fTqNboVF2p+cMovJibrchTxnQBwylhYs/zUjl6SkDK5ScuR8bG+sBPt6tcnZ21nM7OfPE+DGfTuXyr2uOHA0bIDgl4GgnFxs8QKzBjAEpc23qGIfLszxGrtehfegY7bFzg2p3G3KmJE97vZFTdjRsxphxwWlSHOu7x3C0zOHIyEi64JV+o8suwvd9hrDKp6en6fkOas7O7h+8CGthQ8yaop1lkqfg8rHyF/NJ8e/Ozk7s7++ntUv0zOHCbBuHeeWkbE48t2MvqgnJWZx8XtELBzm5OKDK085mZszwGtRE9F5jY4Yc3R0ZGUkpIcYBp039qANQM9d87zWZByb9WNWdnZ1U2mAAhkPPAYztCb7FgZFTQR7rPLXG7+gbWY7h4eG0WadSqUStVktb+Bk/j3cezOVCnxhv1pT7g92ifMUpQQIBgNXR0VHUarU4OzuLZrOZGBvYYcA+vsQXK3OQKO3CVx4fH6dMEXbDY9MvAOfnjJd9es4i0Sfbc9dt0k58PUQIdVM7OzspW+W2R5wX2BMQOnhxG20fvp06VeS/Daw+8YlPlP6OCy0/9alPxTe+8Y24detWvPzyy/HVr341nn322VhcXCz9rCcponf3CcaQRWBmwEgSJcf5mzJkYDGGIPjc4XU6ncSWnJ2dJSaG5zrCzY2So41cTCd2Op0UgfuZjqYQwAF5XwyS64uoPzI9CdiAzeHZIPzcgLOgc5YqT29gAHPx3VxmITxOeX0IbBZ3P9rB2WAQnU1NTSVG0FcX0MfcCQEgvevDhsvtdH1bWSrCtLsNpPsX0VsjcXBwkBY26QiMEIwstwXwHNg7nCLggTaaJndK223K20i7ALZlwhxGnN/TxU4j3y9mpso3xdM/rtGYnp6Ovb29aDQayfn6OAOnmSIiMch2bA4YaMvJyUnPLikzFWWMHOkKnDng2E7P88m72VWJ/WBu2HHFXYM8N+Kcgfc8ML5OhXj9GdTl82m97cd4uFYVu+Q0mcGy2RPe5ULznKnPmcSI+4zt2NhYuk6MceGdPnzRDtIslYM6BzhF0mg0YnR0NIEFnp/3kXcyZ55vQJ/XvPvjTAag6/DwMJrNZqpXIljFJg4N3T9vCdACi5Wnuew7ynTUAMVpUj7Ps/IMDjYH4HFwcJAYUoD97u5ubG5uRqvVSkwrBe/4kk6nE5OTk7G0tBRzc3OJVIAlYnwczDpdh58qC+AgMhwk5rVUDizRGTIcrDtuhNjZ2Um1b9VqNQV51IaBAdAx7G5eSpQTFOgMbXDa3pmkwnVY+pv/3ak/+7M/iy996UuxtrYWw8PDsbi4GD/4gz8Y73//+0sp91/91V+NGzduxPHxcbz44ovxnve8Jz7ykY98W2dboSR0xgvAyJ+FaqrPjMXJyUlP0d7ExEQqkt7Z2emJzN3f4+PjdGos0S8DjBgkGTAMDw/HxMREYb+8QIjcTXs74jCgNADyFs8cfOVF2VDXNlT0w+PkaMwGhj7aSLk9uRTt/GH+3C+MBe33bi87Op8dYrqaZ/E3XEdEZGmAmIPfnLnJGSizNEVSNEd2Gowvf5dH5fl1NfwtOnF0dBQbGxuxubmZjNjY2FjUarVUSxZxvh2bMXCbilgqG1+nDnLxXGDkADI+rfrChQvp4EQof+sLTth34bkGjDXG301MTCQGgCJYp7ptsJ0mNTjImaciYZy5riNPyzpgw6YYnGBH+N4MzcTERExPT6czkFxn4yjceow9ILDLDbvnz+vdoKtoDrFNPDvXYebLLJkdtte4jxJwO3zorFlgnKrb7nnyesxZQ7OjZXPYbDbTOVLsEsfJFb3LJQCMj2txHDSavWo0GjE8PJw2XrRarWi1WglcuQ4U23nx4sUU4Joh87gxb2UlI4yLGT+DRGyk08j+PaDq6Oio5+ggUnfOCrVarZ6LpRGOmpiamuqpYbUdo/8Okry5AdtXJPzcbJhtslOM/D5PwWE3d3d3o91ux8bGRkxPT6dgr9Pp9BTe00eu+XFdGGNtG+VsjpmzHAeUSV9g9fzzz0en04kPfvCDiW1aX1+Pv/zLv4xf//Vfj9/93d8t/Nxrr70Wn/rUp+J3fud34id+4ifiAx/4QLz3ve/t96qI6E21RPQWpWLQzWzlQIJ0gVNHpJOq1Wq6SHN7ezstBt81RBrQlCs7kiJ6L0xmAbC4YMzKLmbMHbBz82XO3AuedIcpTSbdYAUEjrFnp1alcn6oqiNHG1EU1rVZjEVuFIv6h0G0QTBQtvNAWQ2ozF5hEPi7PIduBXdqiH7YCec0vP8m4sHi5TKhVsw6iuTAivl05I/xg0UjwoRmJ3XNGTLUKlCrA2WPgaTQMmf77JTdVv62jLGCGTQoYKcd8wHAIhLGONJvaHUcO+uXc62o1djd3Y1GoxHb29sxNTUVIyMjKTjA8fFc+mp2Jx970o+8t0jQW5zt0dFRTx9ot9kSpzk4SgLgB+iYmZlJl9syNk7Ts4YNjjDc+REKOfvoYJI25gY+11Ezpj640fpIOgydNFNjpwiAol981jt5cwCB7rNmDf7NWhcFOi7zKJLt7e0YGRmJWq0W+/v7acOE1x3rw2ua/jrQBCzQHsZjZ2cn1UYC+kk1wX4Y4KA3vgHAoNM2lraU6Sggwulygye/1yQDbA71xN1u94E6L1KVZqkAV/TfV7yRDfBYebcx852zi2/UR6eWGbscZJu9tF6Njo5GvV5PAd+FCxcSuAJEwRbDatHfiYmJqNfrUa/X01l7uW9wcGP9ZG4cFPSTvsDqX/7lX+Kv/uqven529erVePvb3x7vfve7Sz93dnYW29vb8fd///fx4osvxsbGRt+tiUgegdIpU9IutAOYREQCRkRp5Ir5/OTkZLo8cnJysicPbuc/NTX1wH1t+a4fszeu3aGNRcLBj07tOZLKx8/Aw5GuKV8bCh8Mlx9UR/ttNB0Z587KoMDgrR9jZYq0qLjY4IqFQ3TiFCKpVww54416RqtRAAAgAElEQVQxwSHBOEDBw6BYPyLOqXXTumY38n9ZWGVzyHgU0fCm/vkdEZ3PTbHhRU999ADUO9EVRs53Y/FO2uq5sZPzWnqj+hwMq8G5a6owTtQccpwJUTvG2QCY9DN1Ru32/V1G1D6wVjkOxIXPPJtaR8bYtUpmavl5v4P7DB7MZFo3DWIYF4+Dd/ddvHgx6vV6TE1NpQDNIAbxM/N6InScd+Xv93zjRMvYAOwPzzHQtoMmsMyDRDs2s4usMeqJzIwYaOashVkoz0EODA2K+u0CbbVaCRBwbYodJGPqtW7mzGkm2uLx5POcUVSv13tSZegcga3Bg8cRfeQLm2BAXSQwchGR7B/z4v4wd8wV5SBm8rzT3nYB+2oGDP+FHSW9zWdgv3gO824m2eMAyCsSNh6YIbaO5iA54vxMKXxLvV6PWq0WtVotms1mKt+BgWMeJicno1ar9fw9tobdpaQtPc45a+x1Yaa7TPoCq6mpqfjyl78cTz75ZM/P/+3f/q005RUR8fM///Pxkz/5k/GOd7wjHnnkkXjnO98Zv/zLv9y3IUR1pmPzKMvnUkT0XmYbET0781BmG0RYounp6RTNuaCZdlAbY2CWMx85g9PpdNJumSIxsKAI2e93hMvf826DORvFiPNLqs3oeYdFnjJBKYy6c2ebMx05jV8ErIiyDKbyFC7PZG5RZgCm+wKwwjgw3+TVnbozIMrZMpx1DkDsPDCYrvsoEt9VmLOqjJHBFgwabBXs6ejoaALWMFbMabd7frgerBD/OvVuNpH2547EY17EaOVCLSHgirkwU8Vp1DA9Hg/ex/wDkLxL9+zsLJ2HQ90VAVFeY+GUmZ2DQRFBitnfsmjSupQDDo8TvzcDyVjQf48LrLbnIx/vPM3mecpBh5n7InaOPpfpKPrLmshT6HlmIKL42A+vExf9djqdtOXc4MnghXnjuAACDPfbQQ7vdVuLBLC9v7+f2BYzjmZBADDYV4KBfGcy69BtABxMTEz02CGDJmw+gYVBapGPiDj3UWXAant7O9UnAjB5tufJjJzXAn3NGWXXsmFrKBUBmDoY96Yh3g0g4xkGed7wwOd2d3cL+5jrV66H/B4wZcYRkBsRqe5zamoqseB7e3sJ9FGAz1EwlI0QIGO7uE7POpe3yzrlFGWZ9AVWv/mbvxkf/vCH4/j4OBYWFiIiYmNjI8bGxkrTgBERzzzzTDzzzDPp+y9+8Yt9C2Yj4gFn5sjN6NWKBXsAqnXE4EXuiUeB8ojCQO709DQuXrz4wGngEQ/WPZnBcTqqqH8GAHnhvJ2fAaUjsYjz2ilv+c6BDEqQG8tcUQwEHBHxewMPt69I9vb2enaYeGHk88g44rxIV9jxuT0Y7YjzdBULMyJ6AHfeLwyUgRWGKI8w3d8imZycTEDAY5UDGPTXheIwctZFmDRHQAQDPlKjzMhan/Iashxc0b68XtBiFsZ1Qjlz5WJm65VBiefAGy2YB/qxv7+fouZ8zdoBYwi9/uw8HaSU9Q/xmHi8PLZ5ypfAzmww88S4+u+9Xrwec+aBftu2sUYc+DCu9BmgkwtsvHXDzIX1k3ZaV+wsGXvEDA2Bgz/jeeX/OMSI88L6nJVzSi23Q7ngaNkdBptmFioPeFlTsDCMdc480A/GmUJpagsJrBx0GPQDvHIQZJ11YXmRsJPPd25iK+0DPS/WZ2/0yZk/A2DWJZuyXN/kLAK2mXHFPzGXRQXngLwyVpU250A7/50ZPlL0JhTwNb6CqFarpTknCGKt8lWpVBIYzusE8/Z4vNEps5tl0hdYPfroo/Hyyy/H3bt3Y319PbrdbiwtLcXKykq/j8U//uM/xic/+cloNps9itvvShsiTi+QfnVHTLKdtxkf088YZTtbHIadLOLiRoAPym2D7p8bSJT1z847Twd6nBzxmoVh0g1AGJOc7o8431KaK70ZIxu6HEQZaOTUei7b29tp9yFjnzNe/J8+snBdi8MY4Tx8t5OVO9cPz323231gF5O31KIT/mwOtIqEyJVdYTljaudikOCFWgT47EABNzkgpc3W86J/c1DlNhmQFAl6ghMitWqQaFbZ645xzJ2KHah3aJF6uHjxYjKEBp7orz+P7gLIbehw+HYEucBiWxy0GWw4RZinew22PC8OHAwK83HJ0zu8swj0eGzzYLBIpqamYnh4ON3P6PqhfgAob2M+v3Y4ODMfIWFQ4jkbGhpKhcN81uwdYtaV9V8kBFXtdjvVPQF8bCPpi9O4ts/oEGMDq5z7Fmw0abk8SHcwnK932zp0v9VqpaN8imRrayvt5uO4kaL1bDDOu8lQUHsU0XsqvNuXs8pFPsC+yuwbNh4fmpd7+G+KxL4t9y3576ldA9DyTII12k9fYGip68w3Vdm3uo+82/Y49522s8xpmfQFVn/3d38XTz/9dKysrMQ//dM/xT/8wz/EyMhI/OiP/mi8613vKv3cxz/+8fjIRz4SDz/8cKETLhLTmHQkp8RRYBsCIoWIeMBpOIoAZLgOIgcXXoyOQs0IWLnyWgkzK7kYiPGvc/V55JSnDDzJNuAen3ysbDjzz9l4+8vgxEqUM0i5wGTCPNkR5w6e51BfwzZ8xgmQ7WMFIs4BJylD3zZvdocFD0uSR8X5uOV9LItEiCCtUyxk99PPKUrr8DOnf/O/N1AkcsvbmDtGO7+iyB+dLjMIAHY2PhARogt58GJQ7gDFhtGpGY6egL3hXR5v1qjTSV4fXoP5jkuMXdkatK3wnBhc2TnnKZ9cL3BUDuYw6jnAMiPjObIO8veWPMApAvSWiYmJZFvyaD/vt3UnH2d+x5x4bjw/rAMHoH7+0NB5gThOzs7Kdh3H3K8GCdaJ56JTPJd25ushojdgRWcIXD0/6Il3peLEh4aGUurINgB74/pE6/Dp6Wk6H3FnZ6c0lUshuY9LADzkLI911uwTbePYhzxwMKtG30j95fW3RfoJeDOAY77RpaGh8/v7cuFZ6AwMknXcjBI7pPHtp6eniUFkXTIG2DAzaZ5z9Io14o0brHlsmMFr7vvpZ5n0BVa///u/H08//XS8+OKL8a//+q/x/ve/P7rdbnz+85+Pr33ta/GhD32o8HMzMzPxwz/8w/0e/YBQdwQqzaNEOpNTxl5AdDxfrKYVGWgvGMRKG3GeK8YZ5FGeDV7utHPxhOQgwnVeNridTqendgSgYYORLzD3hTFxBAjwMMXpBZQb+/xnLKxcNjY2Eivk6wVyh0WESCR0cHCQrrQhmuPwN+bHfaV+oFqtpt1YtVotAQFT54ypAYZBSQ6i7BCKJD9RGqfugl0vYuuhddNOx+92tETbPN45g2jHVwQmcsDFmJelkVh7rrXKI1kbF55JyoSdVEV6jSFzAOVxc1SIrsN2kNrCsZl5M7BifPNdSkgefRpMFDF8p6enqV/dbjftCmP3n298AHTkdSpFwDp39nZaOXDOGWMHCkXC+9FRO1HagTigZDyK1jtzxfixrqlLoS0+2oD38Fnrq8fa72E8+qU6a7VaDA0NpR2KzBG+w/Pn9ec0Mrppe1ZUSmDmuN3uvdom1yGn7L3T3O/k9H6OASoS6vVcM+Wg3YCYdU/wSX2da66Kar4AE/YpZAuKbCJzjF4TcMHgm9Cw3Sori8Em0Mbh4eGeuknqdTudTtopfXBwkHYAumTB59ihl/na8s9yPGG9xy/ZZjJuTm++EfMf8W0eEPq3f/u38YUvfCEVjf3QD/1Q/PiP/3gpsHrqqafihRdeiB/4gR/oOTL+e77ne0rfwbk8EdFjkOg4X0XMB4PAhBZFY1YWmAEjeEeCOAvvXuJ3Rvg2ls5LFwmKY+Powkm30aCIlCEOw86Iv7Xhy8FkHnHkhhlaPf/bMsAVEYXAand3NxkAdl/iqPnKnw1w3Nvbi7W1tVhfX4/19fVoNBoJgLmQGaaKgkS20x4fH8fs7Gz6fRHQzPvmBWS96AesTH2z2Ex7+x2uheF9RVFQrsNeyDYKBl754jfFb733e9HrfsDKu/8ofvXaMjtBvw4PD9MJx2z1ZncOOzfRT69NzymgZGRkJO0UnJ6eTqmmg4OD1AfXauXrp+woDMQ75iJ674TL54a+Hh0dpYg5ItLYYNBxto7gfZBqvqPYKTa+vJ5zVttg1g6gjJXL9cVpR68F/pbxBNA4cETnzcRE9KZPPW6MKfM+PDycdoDxzFzX8yDh7Oy8PKBI6vV6Wuc+AT+3E7QzDy690QEQStCd2zl0HefObl0HgNhmbCL64aJxzlva2NhIacAyHaV/Bixe57ldjoiU9up2z49t8WGa+C/WsYEldYO0Hztm/xERD2QG0HETFbl9L0sFEuQzH7CAZsuwf+xKbTQaPf6X8+IIbtix7NSg07bGE0UBB+uGMc4zBIwlYNf2pkj6AquDg4PY3NyMlZWVdHFhxH0QVBYVRkR8+ctfjoiIr371q+lnQ0ND8ZnPfKb0M2x5NKVnsAKyRYlt8A24nO+1gwJ02SiZRbGynpycRLPZjEajkdgq/t6IPeLcEJptKOufFy+GLL+cl/cYdWMU2KHB9/x9zkI5CnMkhTOwoXdU5/5YqayIALkige5mZ0YRWIx48HwuRyDVajW107s57XxcT8AOIRwZ5674xGcbfs9VHpmZfSwSA1ielW+ndhqZBehdQDzDNWDoLO1wtGnHa2PK93Zu/MzOOAex/W5lZ+y9AzA3MO32+U6vdrudDtwlEvfdnIAvjGBeW0N/DDZGRu5fhcOhqOzg8d/QBs4NcmCCrSgSmBOeZRbNDCupFNuE3MGhhw7m/H70ybUtOEs+b1Dstea6JYMqB3dlTst/i12EAbCOeR1h3/Io3EyJWR0EnfKdfwQTpGtye+Gxcluts/2AlXf1sf65qN12gXfhQ3DQgAyzb2YgythBADMsqo97oC0RvQCEueS0842NjWg2mz3+KheuWMlT4e6P5zDifGc4tuTs7Cz5aLPdfN6kgEEorJdZKwez1HwRfLmO1sJclgnAksC407l/zBG1bDlBgR334crGARGR0qysSYMwBzn5+DngsY6baDFI9fmD/2Ng9ba3vS2effbZuHfvXnzsYx+LF198Mf7mb/4mXnjhhfjABz5Q+rnPfvazqbOdTieq1Wq/10REpAiHhkf01qB4141Bl9MSTu0ZVbLgbaT43r9D2VmEJycnPVGpd2bZ6OGwmPQiyalwfuY0Bn1xwTA7XnAkvA+mBkOYs1i0u1K5v4vQp3fTzjKAaYfiNmKgiyheAxkXKJtZcd9p89jYWNTr9RgZuX+fJEaPg+oooI548PJWOxuuKsrTM2brcJDMeR5tm+EpEhftViqVlPpwQa5ZUK5e4PJSUtFEynktmtvH3OZHUdiomfFx2qHMYQFEyhir2dnZGBkZSWlVtlbz9w5mbGAMvgDLRI8AZM6MiehNi5sdYE58Jg+7m8bHx3vqLg4ODpJhdhv67UbK0wReu97Ra4MccR+AwFZQ2M/8ORAkiLEOmJUEhOE4nebObQpjVWSj7FBy4RwfB0OuPSkqWeCZZusckJycnPQEbrYLdjg++gKQXBQc2W6ahWV995tDAz+3o9PppPex/s3cMx44UWcdvKmCOaCdHnPrTw4cHNACZk5O7l8vs729Hevr67GxsZHSlmVpMnbj8szcJhvY50wgIJazxliH4+Pjyf7Y/uZBOPpN/7A5PIMUpdnKosxGRPFZZUij0Yh2u50C8Onp6XQEkkEum1s4Kd33kFar1ajX6zE+Pl5oa2ESnaJ37Ru6PTo6mgI5HwbutJ8DUkpU3ohI6QusXnjhhYiIODw8jM3NzYiIuH79evzBH/xBfNd3fVfp527fvh0f+tCH4vbt29HtdmNlZSU++clPxvXr10s/k6dhMEAUo+YU8vDwcI/B8UJpt9uJAmUwoH/tuDxgBnQGODh42mNDyKBj5COi9HwvR4lmKzAMvJMIyOmRycnJ5Bh98q37lY+d2RAfEso78sI+g02LFQsjUxRt5dFRTq07teUxAURhEPNzx1gIZhf8xTzze3aismWZRWR2iTHM08GegyLxOUatVivNB444T8m12+2kGzCfZukMbs142BHzjqGh84NQAZxmJFnsOKx8NytzSA1UkdRqtWSMvfPJzsVsMMABAMZc5syrGaKcwTBzYYDG53PHZoeeAysD0yIxu5QHRQBm2m6nRGBItA5QNMDxeuNdnkfahHMmMGTu/a91gv7Qv7zWJheYQo/H0dHRA/pmPYfFI+hCf0gtoTfUbvF+BzrYUMCJg9G8Nsn2Fx11PVu/4Ia+ABIA/e12O4He/O5NnscY8K9TsmZxnP3I225gjJ8xO2ci4PT0NN1ht7a2Ftvb23F6etrjwHMhrew5dhmM052MNTrC34+OjqYzm46Pj9Oh1wBur+N8jTpAgPkHFOdp+Txt7edFnB9ZkgsA01mNer2e2mhdHR8fj+np6RRQsQamp6djZmYmqtVq0geAlRlz+6EcB6CnZ2dnPUwhdhodIr2KbiL9snZ9gdXdu3fT/yuVSty9ezempqbS78qOXfjYxz4Wv/ALvxA/9mM/FhH3z7F67rnnEpNVJNC6pgFN2zkijjjfKQXwMjigLoI7//xZFBNkbsBjRWaxeRG6doeJIrI+PDxMxdtlwqLk1Fve6XN4nDZAuUwzu6Axp2LzdJtToPxdzm7QD97vMcYhE5WyKMvo3xyoGAjnrKMdhlOR/j1sids/NHRerMm8OBqH5WRRYxChx21gGC/6/0bAAzanWq1Go9HoKbLH2RLpObo0i+aaMxt/QKcZD0ALLJ7TprBXUNwOGJhLp3EN3r8dRg5jBMNmvWC+HfHxf9YORor+GZRwaTbgAifEfDMXpG3yQwsdoXpHaQ5McoGBdprF7yPa91ceSDBvnjO+DK5pjxlDlykwN3aYTr+wLr02/fmyPjqyNsiE9cv7nrMNrHff22iWFd1DBwzEzBy5iDsH/2xyMKNnRh6Ws0jy7AIBX7fbjcnJyajX62memCPsGu2wTWcOWa9msvk7dCHf9IO9pkwFfYepOjw8jI2Njbh7926sra3F3t5e0pOy+aN/ZCo8Zma8AToG8A7YzbAxH2YS3RfGKw8MsbFOrbpcgrXoYIS1gQ0vkvX19QTQaGuz2YyZmZnEUI+MjKTxBWwa3OL7sONmx7n43ZdvE0TlaWZsUs7G2m4SvLMezISVSV9g9Yu/+IvxzW9+MxYXFwvp47JzqXZ2dhKoioh417veFS+99FK/VyVkCFOEuKO8l47xrw0Ti3xoaKiHrnduGaNjyp1nRzwYUeVIHmWnwH1vby/a7XaKWsoEUEKbDKw4iM7KntPvtNHgsOhE44jeWguPn1klfm5AYadgpTo4OEgRRJFjNnDje7cJpcY48HsrMZGBF7fBcF48DphzMbHZOhY3kTfsEU6KcbAzIQVcJCMjIz1p1VarlfSEM7cMjnAO1CY4dZfrtyNlBwnouAGXaezcUTqycmSJPplRKppDxtmAgTa6vdZlHIrf69QeY0ebYSgjeqNaMzy0EUDKs09OTmJ7ezu2t7fTHWGMLTpdFkmS0qLWykwJa/vw8LDnrsS8bXbqdkAUAWOkzSzxLqd8zery98w7wph6WzpOvQwc57urcC4uUi5ivHCQ6JD1yAECX9hb3mUwwuXoPgeNd7o8gzl2XdXQ0FBKtRaJmbtOp9NT9wIzc3Z21lMzZ0YGkOEaKAffZhfz4Id153WAHgBCIiIFoq1WK+7evRv37t1L6S+Y+bKjCI6Pj3vYPsaZIm/8GoeVuh7PB/faXzhL4iDWPshBpsErwRZH6fhZDoypzTS5UBagchej/Sn1mdzpy5rO9RR/eXBwEI1Go4dZp0/os5lwBPAFgIPlJOV9dnb/EFcYWN//SJA/PDycdLxM+gKrz33uc/G+970vnn/++Xjqqaf6/WmPXLhwIb7yla/E448/HhERr7zySulVLwgdiHjwBFwrsKlLfub/m+lBwXiegZVrCFh8LCIWRavVStShC5eJsFqtVjQajWi1WnF2dv9eojLhczl7FnFuQDGAsHeOgqD07WzNSFmKct60gbGCFgUgOjrlGSgwaSwWbhFSdzSBcTo6OkqF/nYSXKVgkMj7MJx5Woz8v+uLaItrVixOBRDJY4QwtHYmgOQy4MH7ut1uOh4CypntwLmzNVOVn8lltsZpUpww70LHi0A7RgOGBx1hLnCYIyP3L67lRoEiMTvhWgTXJBi4sy7Mspp1JsghpYLD2d3djZGRkZ5IPI8S6QORa0QkQ7e9vR2bm5sp6nVU3S+KdOTKs/m8SwNgnw2sHAgUBZkY7JOTk55UNoyH587AB91G13menb71EX3uV8tpPeJdnFDuEgDmm7VIWwFxDswizmvPEI85/SP4yI8cQE9zMOA0Nem8arVaWpfrbIbXMFfcEBgBStgwwJrCmcI0MaZmBvk578K2YH9coM4Y8uxOpxOtVisODw9ja2sr7t69GxsbG+mQVGoPy+aPwNLMmllt1rT1kqwNwmeHhoZSn3IW08xcHugxVy6FATQVlZDwzunp6Z7ArYyxys9vHB4e7qmZdCrUwT4+EH/l+mmALwGAj2HwmYfopP0GwQ7BhIEV6cWcTV1eXu5bO/6GdwV+/OMfjy984Qv/LWD10Y9+ND74wQ9GvV6PbrcbzWYzfu/3fq/vZzirhklj0J1SMlBCqTFCTg8V0aF8ObqyUzAYgDXDqOfAi8K7ZrOZtppXKpW+uyVHR0d7CjwBCjgSG3ScjlkOpxRg0SKi5/82+F4w7idAjc+CxIlQ+Izr1HCOY2NjMT09XahQpMEMAvf395Mhw7jheJzWQez47Hxyw8gX9U4YV+uIGTlHxI7AYdK4ZoKFXSZ+P/VcbJ8+PDzsOciPcTfjZrbA6dC8iJe5tOEjMjNrwd+dnp7vxqT91kPYs2q1mgx/kXS73Z66B6dJckE/nQ7jeATXeZkBdFQJ62tW2If+OYJGV6lV29nZ6SkChgFAB8sYRwMWs7wjIyM9aQIzkDm44jlmLJAchDh4MhtpRjyvTUFnsAlO3zDeLgTPxXqP3gD8SVejG9gVxs/sDnOZp6j5jG0FfXOKJC9WR6+Zb96PreDIhIsXL8bMzExpkGrHiH4w34yta/UcRAH+mVN0jjQZn8eGGdTStmq1mhw0rCvjMT4+Hu12OzGq6+vrsbm5GXt7e9Htnl+u7vWbi9+P3WWNW68ZY7NsztyY6Sbl69pEbF1eKsMzYHVYm15jDnbwj9R1wRr2K4sZGxtLuu31hx5QeN5utxPT6swTfjhPQZuRM7uHXfE9n17DkCk5kXB6eppAFgBueHg4pqamYmFh4X8OrCIinnzyyQcuYX4jeetb3xp//dd/Hd/85jej0+nE5cuXU21WmZycnF/C6oUK6s0XqQvJUVIvfqembBwNyOykXMjqSBKn7fZwds/29nY0Go3Y29srZXKQHLAAAqE2/QynTdxW76yiLXmE6tRLnh/nMwZATonaGOIUXThdr9djfn4+lpaWCvvHs0mt7e7uxvDwcDIow8PDcXR0lIqjWbAsXhs/wAYGhb8xc2MG0IvYABQw57oj5omdhJxy7KLFIhkaGuoBVvV6PSYmJqLZbCbmi/HG6JqlQo8wcrSLttFf9wk9cI0LOovecpM8F4c7bQiQnJycjOXl5RgZGYnt7e3C/vGM3JgZdFvfMPj8HL1DT91PAJv7R59JKU5MTPQUHyP0c29vLzHEOCrSwADt4eHh0stfx8fHU+CEPqGv7AykEJ8+MwYGVbZPDvSIjJnzojSqGQPew/pxusasgoGPg74icQ0M84CewRS6dgwbwd87KGXOGAevDYPAnE3NwRV9ytOfjAeBHeC/VquVpgJ9R6rLNGijzzMyy4MdNevI7/gc7WJuYLsi7gOZycnJdJkvF4kzZ4z7/v5+bG1txdbWVmxvb0ez2YyTk5Meph0HXiZ5ZoZ2sL5pj8c8LykwyYC9yv2qgYn1EP11xoD59mnnTnFzJAMbPvoV6FOzycYfz7VLChg3+mCGiXpX9MnkCzrpmlF2OfvsLfsrAlOPMb9zMISdmZ2d7ZuF+7YOCP3vyhe/+MV46aWX4uWXX45XX3013v3ud8dzzz0XTz/9dOlnoPyMmj15GDYYHgYOY+N6D+dnYS8MuEypOjrgy4sf5QTkAKo2Nzdje3s70b6OsovEKRQXytInjqZwrRB5eNrB+JjFiXjwWhqzIqZsbcwMsNzXiPtULUrW7d4voK7X67GwsBArKytx+fLlB/rHvDB2gCocKAruWi5Hjowdjo32+f+0E2OTAw7mvCgVYiNLH9kK3Wq1eorQy9gAolTy8hiSsbGxnhPHc4Yzr7fJ++U0WJ7+BnwjOYCkEBhmKA8IYCQmJiZifn4+OYUiIZVIVOY6KKf7zBTbYBuIoN9sl87pe9YBjpsUEqljj8fp6Wliql5//fU4PDxM449TJGXhjQK5oFsGd17rnFxtUOu0Ss6Ee22blcx/z7wzt/TL689BodcRY25bYLCeixkmFzmzmQe9sF6ZqcIZ0S+zVgZWrD8HgnyGZ5pt91q0/jrYqdVqsbCwEDMzM6VpJOrjvJu70+kkHQCYjY+P96ScGHMHJc6GMMekQm0f+fnU1FQCVNY/QM/29nasra3F5uZmNJvNxIKzBiPu23/sTdn8WfcAKsPDw6mm02vGumldNMvNcw2sIiIxdd5ZTl8JcgyUCBqw6wbx1BxNTU2l+xv7ZW/wBXkWISKS/qOjvioNZizHBdY9+ms9NPHB3KIfLv2hTAJ22MH96en93Z/1ej3m5uYK+4a8KcDqpZdeij/6oz+KiIirV6/Gn//5n8fP/dzP9QVWLFom14IBNEUI8GDw88/nCzpnOgw4nKt1CpIF551le3t7sbGxEevr6ykaYaGfnZ2VFiW6H64jcsqj1Wr17IDisLY8FeQ6FhuIHLm7r2YZcrBio2pmgBqp2dnZWFxcjNXV1VhdXT9M+6gAABhHSURBVC3cDcrp1IybFfLk5CQtBhazIziDAdru8THAzh1c7sgMwOi/wQuGGUO4vb2djJ8dRZF4R5QXPykAQIDTQAbF1gN0HsfJHBhQmq3Ii/PNCJmNs7E1e0nR/cLCQumRIKQ0SW+7qJO2YuRof+4IWCt2wtYD78Jzu83MRZwXNOM8m81mOguo2z3fJm3WBx0uiySZX3TUUT7vctBi5gf2BV0zu5uznDkQ5nsDrNwhuEYQnXWbeRdjVJZmMVtEmzzupKUAEHZoLqegXdgE/g6dzoFVHlRaTx3g+V/sbqVSSYzqpUuXYmxsrJRVhcWjpioiEoDnmqt6vd6TescWOcXtNhlU2NaiB7Cp1Wo13SoBswpL1Ww24/XXX09+gbXk+icChH5nyfF3fG5qaiqd88chvATmgBfrn9cEYIT5cNp8YmKix+8BRFjjfBlgYbMdRBOwT0xMpPOoDg4O0uG+RUJalV2/PqsPXXdKH3AM0HSRvv2GfSDjkGc0XHpD+Q0n6+/v76f3RJwfGs36qVQqUa1WY35+Pp2tVSZvCrA6PT2N+fn59P3c3FypIUBQUlOS/Mug0RFvByeqs+NFSZCcjvfg24j6dxHn6TTnYTmXZGtrKw4PD5PBgS0oWzC5EtAWPk/032g0UuQ9NjaWQIhpddehGaQVpcVs1CMePNLflH63e7/GhvQmirS0tBRXrlyJq1evxurqaiFaJx1GX3PHSLtGR0fj+Pg40eiOdF0Lwdjnac6i/hhoGFjaiEec7/JhHn2yPqCAaK1IAD5so6aAGrYDo0/f0R3rsf+lnzlrZbDA/Li+yrprKh/DlNcp4hg4+6UszeJnUrRJQTpjakdvat7ggLF04OO6FYyaGQX6ylxyZArHmVCwTsoc+p7AKCJ6dlGVCUA2X4ekr90u10A5TW8w7Lktcta5UadteYCQz5tTcAQDZrDKmPG8BIAA7eLFiymQ5Nw3AysDI7OTTrW5VtMbRvKxzAUHl5cgUPtz8eLFWFhYiNXV1VheXk51nUWCM240GunGBQDV4uJiqs9iHL3DzTrOvJhBLGI/8nnyMRIR931do9GIO3fuxJ07d5JNyXeUEzwzJ2Xzhw6wLiYnJ2N+fj4qlUq8/vrrsbu7mw773N/fT/NrHcxTtpAQgEaO+7HtQLfKsgHMd6dzvtkA28kcwOZxeOfMzExhHw3MeR7MN++DSaK0wfVeLlVw0MGcR5xnK2xTHYTSfn9RjuRaZOrS2u121Gq1mJ+fj5mZmWSDyuRNAVZPPfVU/Mqv/Eo888wzERHxpS99Kd761rf2/Uy9Xo/d3d00yRHnC9xpO36OomJ8TNs6is7BDGIDiPNwIXEO6M7OzlL+fGNjIxqNRppkQBeTWSQYMG9dzZ0tDu3g4CCBK5Ta1L7rFhwFFqVOcwOfR41OWZAy2N3djW63m4r0rly5Ejdu3IjV1dVYWFgoPGPm8PAwLU6iXJQSFof37e/vp1QTCzaPFhknDE3ej9xwMqf8a2NpsNVut6PZbKYUIGwmhmRycrKU5mVX2+bmZvzXf/1XvPrqq7Gzs5NYK04Hp10UQDP3OLu8PwZWjjaRnMkjwjQT5LGP6D1UkLNdqEkqE3SKGhAuPAUMsL6IlFl7tBH9tkHG8TpowqD7CA73n6JWduk0m83Y3NyMRqOR1ryjy4sXLyYQ1K+W02k/s5zMgwMBaq5If5jJzNkpmC1+lz8310E7a4MnBySAfZymNwCMjo6WzmNR6gcdGBo63yWGzpgFNkh2P1xLZWBZlBZ1AJunAF3ryDoZHR2Nubm5FLRxjAkHLueCTgAOR0dHo16vx+XLl+Py5cup9oV3YH/MXthO57bS82ogbLDtusJGoxGvvfZa3LlzJ9bW1tLZdrDHMD0EraTNys7pMtvM39Zqteh0OslHmonEZ3od2obA7jotaHtEYFc0z/kahl2Codvb20up/nq9HtPT08nWLCwslNY6Mhcu2eF76qCGh4cTu9ft3k8H4jMcCKCnub20bjol7cAF8EZdFWuLWkOCLTbKzM7OxsrKSlSr1bRWy+RNAVbPP/98fPazn43Pf/7zMTIyEm9/+9vjfe97X9/PrKysxNraWspz4ihspGzgiYRZsE71MYimP+28c8PnwvX8hFUMwNHRUbRarZQ+Avx4oiN6F6eF53F6NkbByoFDdqoPB82iMKJGKRFHhbQjZ0Jyps7tgx1ot9uJmr927VrcuHEjrl+/HnNzc6UGwRE2bXVE5Ci7Vqul+gQU2awHP3cBZg4OnfJz+pbx8g4vGxrqqjhLhTQb76xWq7G6ulrYx7W1tWi323Hnzp342te+Ft/4xjfi+Pg4RTHcd0Ua1YXpLNa80NfzwziVRc+OwpzecaoGnWXciSbr9XoCRGX1OTjebrebjCZOodPpJCeFgYNtsG6aybLxy9enI2IX7jNeMGetVisVAsMOnp6epk0Hlcr9LewYSe6KLBKn+XJAwBpgTMfHx9P7zMZ4vjDoZWx0mRSlnwgeeX/EeerZKXsXz5bNIc93HZXHmzvuXF9jZ+u+5PPI/Pl766hrW1mTAFbvQCagqdfrce3atXj44YdjcXExXXy/t7dX2D8z4OPj4zEzMxMrKytx7dq1WF1dTWwCjOfW1lYKCAwUXMfmshHG2qy+/y7i/Dy0o6OjWFtbi9u3b8e9e/diZ2fngatUsHuk06nP4SDTsjkcGRlJ7M/ExEQcHh7GxMREChzIcPA+AjjaB9j3XFk3/EX/sCMEuABi11WR0Wg0GnF8fBy1Wi1mZmZibm4uqtVqKlVZXFwszd7gY0mzw/jDrBIEXLhwIR1rg95jo3z0jgMIACR9Zc6cDkb/8PmMlxkwGHHq4er1eqysrMTS0lLygbn9sLwpwOrChQvxzne+M27evBnf//3fH/fu3etbexQRsbq6mhzp1tZWcogYBys96JIFQQQRcZ5ey5G4nXUOhABmEdHzDqcuyOl7B5mNaI6ac3EUMzk5+UAul0XglJnPgGIBYWxzkOgIk++RnOHJDSqpEA7PnJiYiOXl5XjooYfi1q1bcePGjZibm0tOvwg8OrpFsWHyYPtgoBqNRjo8MK8f8lwXGfecBaB/Tj36pFxABv3m7DGn8LyDb3Z2Nq6XXL309a9/PQGr//zP/4xvfetbicG5ePFirKysJN3c2NjoOVYjj/BzFoPxyx1TztQBOBwEdLvn2/FdnD0yMpJqAubm5hJI6peGYKyazWaqHUN/I86NtsE6BtEpeTulvIjZQNI0PXPEems0GrG5uRlra2vRaDSi0+mk3V6AvNHR0WQs9/f3U01I2Rr0JgbXdNBWO1yzHbSVzQtOU+fMTRk77sDJxyjkUbRT0zAQ6OfU1FTMzc0V7sylLdi9vG3o+tDQUDp/DV2xQ3W60QAqZ7wR/43/1nWWTq3i8KrValy5ciVu3boV169fj7Ozs7h9+3YKeoqEIBOQQZnC6upqzM/Pp638rPONjY1ot+8fzDk/P5/sTp6SZgxcP+RyCe+sxJft7++nur9ms5lYNgeIZj4mJiZiZmYmrl27VpomwxcR5M3Ozsbk5GQ6DBMAxfqmthUiAj13as/p8XxeABYuP3Dak+CKsgbYKo5UYKf47OxsD+ibn58vTZVR0wqwIlPgy98BzvSx2WymY3t8V6d9uTMP+FYDq6L6TqdBed7Z2Vns7u7G9vZ27O3txfj4eFy6dCmuXr0aMzMz6ZllJSMRb/KuwKOjo/jTP/3T+Kmf+qn48Ic/HO95z3tKP7OwsJByp+12O7a2tnrSAt4p5eJ1DCKddXRnY2E6FEBSlEqLOD+agGJDKEk7MpwjCpk7yFzMmphBM2VvNoqolFwuBtBRRM4MGGxEPHilhutIXHgHcDs5OUm7x27evBmPPvpo3Lx5M82Nd3HlQt1OXjeVt4tdMYAsRwkotUEE82ZAkjtn07o+KZ4iUYy6D6EbGhpKdUc46/Hx8ZSWKJJXXnklzs7OYnNzM27fvh2vv/562n104cKFNE4R0QPwvFPNBtDMFP8WMSQGKTyXeXTdQcQ5S3jhwoWYnp6O5eXlWF1djdnZ2Z7C7SKp1+uxs7OTdpBxWjSADafDeiJqJpKsVCqpyNPr0Gl19NfskZ/NDh12WHHAIueEsWaYW9LJrF1qcIrEbAQ2w0WwrCX0EmYMvW+32zE1NfXASf+uMyoCI7zTbCrvBwjx+7yIl59duHAhqtVqLCwsxPLyciwsLBT20eNNnwDrOMt8bTKeriOLiB72ir7kTID75+c5jZKzqsPD94udr127Fo899lg88sgjMTExEd/61rfi9ddfj1arVaqjOFbYqqWlpVhaWkopQFLHW1tb0Ww2o9lsxtHRUdRqtajX6wmcskaxCfTLO8Vss+3A8UfUIXLWkbMQHh/WJAdLXrlypTSVS51PRCQQXa/XY319PY07uwQJCPf39xP4ph/MH8DdZRUGu9iRfGcgaf2jo6P0Pmw3jF29Xo/l5eVYWlqKarWabAIbnsqAFb7cmyVgUycnJ2N6ejoFbGNjY8mWb21tpTlycEN/vdGHdKL1xiUIvtoMHceGHh4epqzG0NBQzM/Pp1IYgjZ0uEzeFGD1h3/4h/G5z30ufvqnfzrm5ubiL/7iL+LZZ5/tC6zq9XpCrSBK6ihQFkfbro3h94CP3CHZaUX0HnsPas8vOCaPD4tjOhhHTGRgZ1XGWhFVuH7GrBkOEuNXr9djaWkpRkdH09k9KAb1H3zZcdEGwAdtdz4ZQ2eDz4K4dOlSPPzww/HII4/E1atXY35+vucAPbfbwmnqOavFIvU1AjAiCIbIl6c67eWdR4yXHbT7hqGj8Bmj4ehsaOh8t021Wk3U7+TkZNoBWSRf+cpXEpNBNBNxfkherVaL2dnZxAhwMjtHT6Bv+Xyhmzk4z1kUgAd1eGY9ADXssqrVanH58uW4efNmXL16NWq1Wg9oLRKYujt37sT+/n7s7OzE2dlZMiDMC9Q8aSrAlkG1aydyJ0OEnANkApmdnZ1YX1+PO3fupOMVWBt5KtssLHpexo475WWbYR0k4kWf2YbtQwLzXa0O1orAFfPoGqOI8yJm5oP24cicoqjVanHp0qW4dOlS38MJ8zSo2XtSoDDhFy5cSPYNe0fAFhE9AY9tp20s7fccY6MAVtg2vi5cuBCLi4vx6KOPxuOPPx7Ly8s9B2qenp6WAg/S5fV6PY0Hae6IiFarFXfu3ImNjY1otVrJKROgMr5kBPI6T4rOfTBkHgAZJPv33nXqNJtryZaXl6NWq5XW5zB2ERHT09MxPz8ftVotgUH8Hjv2zEBZ51hLZuEIeLCFZnDwZQ7yWWewh6RXL168GPPz83HlypW4fv16So/x98PDwzE5ORm1Wq2wj14XbtfQ0FCywZ1OJ5rNZkxMTKT3ArixI64ndPrVKV/EBANzZ5+Oj6GUo9lsRrvdjoWFhbh+/XrcuHEjFhcXU8BFbWeZvCnAanh4uKeIdHFxsW8+MiLSdlm2YR4fH8fa2lqKBByB2ck60ow4T+0xiFbyTqfTc/lrnhqzQQBUYagxpBQpY5BwbFClRWmyiPPCWd6LgafNZuRI4SwvL6fTYiMitra2ek6oR4nyNKQZH75gbJzeMNs2PT0dV69ejccffzweffTRuHLlSirSg12gzUU1OigyoBNmb2hoKBUeLiwsJAN3fHwcm5ubPYCtVqslo44xJy3iwtqilBgABkfoawkYAxw0l7XW6/WU7qpUKjE1NRWzs7OlNP3t27fTPAH6ndIjhTo6OpoKromMuNcu301WVM8S0Xu6t2l79JJ0NAaBMUd3VlZW4qGHHoqbN2/G0tJSVCqVdChhmVF/9NFH07U3X//619ONAtDuMJswQuglLBXRI44E3TaAckrIzBIOudVqxebmZrz22mtx9+7ddGI4eu5UHu90Hc/p6WnpHV4wDwYBLqSlUN3AqlKppJOqmQc2ApgFz5laMz1OL9mYO8CjXUTxgDhSQpwft7CwkFizIkGHnMZy8AkTQBBbrVbj4OAgMTtmBn1tC+11SinXV/riYBXWwhtSqtVq3Lx5Mx577LG4du1adDqdBKx4fxkbgBOdmJhI7B0g8+DgINbX1+PVV19NO3Y53214eDgBZPoWEQ84YTYhYVPwC9Y72kE5h7+chcAXdTqdxDayu62sOB/AAHicmZmJmZmZmJ2dTcywfdn09HQqccAXwXR6w4P9D/aX9UJQAjDDvmM7I3ov7QZU3bp1K97ylrcke+lbS/BPRYKPQE+dKh4ZGUnBPL4KgM7/sXdex2bp8nSgiQz7WqdLWSMcNdRut1Oq+qGHHoorV65EvV7vqdcr210d8SYBq4cffjj++I//ONrtdvz7v/97/Mmf/EncunWr72dobKVSicXFxZSHbTQaPUXQPhzPQMtRvh2SKW8mHRBkY5fXUwHuxsbGol6vx9DQUDqE0Ae/mbYvS0FERA/Iw7GxgFikpmG52mFubi6mpqaSElK7gzHGCCKu13AkbGOH0UY5a7VarK6uxtve9rb47u/+7gSqcKR58WYRY5WnEegjkRy1PuPj47G7u5tYOFI3UOtTU1M9+XNqDswGML+wmkQzroEzgDToZNcf5znBQPG7ftdpUJQOkGVR4jgjItVwcK7Nzs5OzxZpp0YdKbn2z+PrtIpBP04Xx0cUNTU1FcvLy3Hjxo146KGHYmVlJe2SogaqjKJ/4oknUjqTd7C+OFONnUgADNJprJ96vZ7mkLYRuNAPp/6cSjs9PY2dnZ1YW1uL9fX12N/f70m7YRCpF7LxRFdxImVCf/iMgyGv30qlkkAHESx6ysYV7k/Lt33zeaeunUL3XPN7gzN+VqlUYnp6OtV3LC0tpY0DZawc4DYPZLFPTrFPTExEpXJ+FdfOzk5aV7Qj38GMHaK/RaleO236C2Ndq9ViaWkpHnnkkbh27VpMTk7G+vp6YoCZ27LdnbQL4ME6Jk21s7MTGxsbCZTjCNvtdmxsbMTi4mIsLCzE9PR0zxECpNM408gpPhfMo6+sCUC/a3SdgiMwRF/a7XY0Go3SHXP0javDpqamolqtpnbfu3cvHU0wNDSUUpswovjEiPPz41jL6K9rrBx4em04oMNfDA0NxezsbFy5ciWlcBcXF2NkZCQd9mmGs4xkAAx6kwqAhkBqcnIyERfemUe/ENYvOur3e33ZT3uNQgaMjo4mf0LadnFxMW7cuBE3btxIrBz2/412WL8pwOrg4CDW1tZibGwsPvrRj8b3fd/3xa/92q/1/QzG1swBEbjTdIjrmkCcGI2I3i3UOAQ7I6cTWAAwAiyk0dHRtNvr6OjogfOkXF/gfHxZ/2gLbbQhx2nAisFGwSCwcAB+pu9zJaJvjAMRPfQnCg2oWllZicceeyyefPLJuH79es920qJ+FS0YR2xmYnC8ULzT09Opjg4Au7GxkaJETu9lm7Jp+rxeBZDB5ckYQ0BVPhfUZSwuLqb6NVgcDDU/L5vDvDAURg/g0+l0YmJiIpaWlmJ1dTXu3bvXUyBq9oZxY2GT1kUcYbquipQGzpV00djYWMzMzMTly5eTI3ZNAGnYMh1dWVlJ1Pv6+npyTBzAGBEJJLJWWE+AfeYG0GHdp/bNrLKNIMBqa2srGo1GdLvdnqDCaWVHqQAps0BlgnMsSmF57XS794tnFxYWEnN9fHycdglxeK5TD2WMFeNNIOSCdRglB1k4KN5/+fLlWF5eTlco9YuUXZLAeKBr2EhsHuCKguhut5vmx86bZzkgYK3TbuYhty/YZkAVx7dcunQpJicnEyAi9cJGiDLGCvDpwmoCMGw387S9vR3dbjcxmAR0+/v76dBNbDcpoI2NjZ5gyDWazCFrj40S9J9xNjMyOjqa1g/1maOjo6XBDfaf4AT9qFaraecdhey0n7Sg2TLmi3ExYEI/XCJjnaWPns9utxv1ej2uXr0at27dioceeigd5opP6nQ6PedRlgU4sMHYQ7IJjUYjnQ9J7Vy73e65vB2QRF+9i5YxsRDQEPx4cwbr0ZsMDIQvXboU165di8XFxZ46UvSzjJGLiBjqllnZ/wN573vfG5/+9Kff8H7AgQxkIAMZyEAGMpD/l+RNq7F6xzveEW95y1t6oqvPfOYzb8brBjKQgQxkIAMZyED+r5A3hbH653/+58Kff+/3fu93+lUDGchABjKQgQxkIP/XyJsCrAYykIEMZCADGchA/n+U/mcgDGQgAxnIQAYykIEM5NuWAbAayEAGMpCBDGQgA/kOyQBYDWQgAxnIQAYykIF8h2QArAYykIEMZCADGchAvkMyAFYDGchABjKQgQxkIN8h+V9WyRUxBjL5NwAAAABJRU5ErkJggg==", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "fig, ax = plt.subplots(2, 10, figsize=(10, 2.5),\n", " subplot_kw={'xticks':[], 'yticks':[]},\n", " gridspec_kw=dict(hspace=0.1, wspace=0.1))\n", "for i in range(10):\n", " ax[0, i].imshow(faces.data[i].reshape(62, 47), cmap='binary_r')\n", " ax[1, i].imshow(projected[i].reshape(62, 47), cmap='binary_r')\n", " \n", "ax[0, 0].set_ylabel('full-dim\\ninput')\n", "ax[1, 0].set_ylabel('150-dim\\nreconstruction');" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The top row here shows the input images, while the bottom row shows the reconstruction of the images from just 150 of the ~3,000 initial features.\n", "This visualization makes clear why the PCA feature selection used in [In-Depth: Support Vector Machines](05.07-Support-Vector-Machines.ipynb) was so successful: although it reduces the dimensionality of the data by nearly a factor of 20, the projected images contain enough information that we might, by eye, recognize the individuals in the image.\n", "What this means is that our classification algorithm needs to be trained on 150-dimensional data rather than 3,000-dimensional data, which depending on the particular algorithm we choose, can lead to a much more efficient classification." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "## Principal Component Analysis Summary\n", "\n", "In this section we have discussed the use of principal component analysis for dimensionality reduction, for visualization of high-dimensional data, for noise filtering, and for feature selection within high-dimensional data.\n", "Because of the versatility and interpretability of PCA, it has been shown to be effective in a wide variety of contexts and disciplines.\n", "Given any high-dimensional dataset, I tend to start with PCA in order to visualize the relationship between points (as we did with the digits), to understand the main variance in the data (as we did with the eigenfaces), and to understand the intrinsic dimensionality (by plotting the explained variance ratio).\n", "Certainly PCA is not useful for every high-dimensional dataset, but it offers a straightforward and efficient path to gaining insight into high-dimensional data.\n", "\n", "PCA's main weakness is that it tends to be highly affected by outliers in the data.\n", "For this reason, many robust variants of PCA have been developed, many of which act to iteratively discard data points that are poorly described by the initial components.\n", "Scikit-Learn contains a couple interesting variants on PCA, including ``RandomizedPCA`` and ``SparsePCA``, both also in the ``sklearn.decomposition`` submodule.\n", "``RandomizedPCA``, which we saw earlier, uses a non-deterministic method to quickly approximate the first few principal components in very high-dimensional data, while ``SparsePCA`` introduces a regularization term (see [In Depth: Linear Regression](05.06-Linear-Regression.ipynb)) that serves to enforce sparsity of the components.\n", "\n", "In the following sections, we will look at other unsupervised learning methods that build on some of the ideas of PCA." ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "\n", "< [In-Depth: Decision Trees and Random Forests](05.08-Random-Forests.ipynb) | [Contents](Index.ipynb) | [In-Depth: Manifold Learning](05.10-Manifold-Learning.ipynb) >\n", "\n", "\"Open\n" ] } ], "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 0 }