{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Machine Learning and Statistics for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Material for a [UC Irvine](https://uci.edu/) course offered by the [Department of Physics and Astronomy](https://www.physics.uci.edu/).\n", "\n", "Content is maintained on [github](github.com/dkirkby/MachineLearningStatistics) and distributed under a [BSD3 license](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "[Table of contents](Contents.ipynb)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns; sns.set()\n", "import numpy as np\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use the sklearn [decomposition module](http://scikit-learn.org/stable/modules/classes.html#module-sklearn.decomposition) below:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from sklearn import decomposition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from mls import locate_data" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "line_data = pd.read_csv(locate_data('line_data.csv'))\n", "pong_data = pd.read_hdf(locate_data('pong_data.hf5'))\n", "cluster_3d = pd.read_hdf(locate_data('cluster_3d_data.hf5'))\n", "cosmo_targets = pd.read_hdf(locate_data('cosmo_targets.hf5'))\n", "spectra_data = pd.read_hdf(locate_data('spectra_data.hf5'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Dimensionality" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We call the number of features (columns) in a dataset its \"dimensionality\". In order to learn how different features are related, we need enough samples to get a complete picture.\n", "\n", "For example, imagine splitting each feature at its median value then, at a minimum, we would like to have at least one sample in each of the resulting $2^D$ bins (D = dimensionality = # of features = # of columns). This is a very low bar and only requires 8 samples with D=3, but requires $2^{30} > 1$ billion samples with D=30.\n", "\n", "To get a feel for how well sampled your dataset is, estimate how many bins you could split each feature (axis) into and end up with 1 sample per bin (assuming that features are uncorrelated). A value < 2 fails our minimal test above and anything < 5 is a potential red flag." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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DatasetNDN**(1/D)
0line_data2000312.599
1cluster_3d50037.937
2cosmo_targets5000066.070
3pong_data1000201.413
4spectra_data2005001.011
\n", "
" ], "text/plain": [ " Dataset N D N**(1/D)\n", "0 line_data 2000 3 12.599\n", "1 cluster_3d 500 3 7.937\n", "2 cosmo_targets 50000 6 6.070\n", "3 pong_data 1000 20 1.413\n", "4 spectra_data 200 500 1.011" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats = []\n", "for name in 'line_data', 'cluster_3d', 'cosmo_targets', 'pong_data', 'spectra_data':\n", " N, D = eval(name).shape\n", " stats.append([name, N, D, N ** (1 / D)])\n", "pd.DataFrame(stats, columns=('Dataset', 'N', 'D', 'N**(1/D)')).round(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "However, not all features carry equal information and the effective dimensionality of a dataset might be lower than the number of columns. As an extreme example, consider the following 2D data which is effectively 1D since one column has a constant value (zero):" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gen = np.random.RandomState(seed=123)\n", "data = pd.DataFrame()\n", "data['x'] = gen.uniform(-1, +1, 50)\n", "data['y'] = np.zeros_like(data['x'])\n", "sns.jointplot(x='x', y='y', data=data);" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** Is this data is still 1D if (refer to the plots below):\n", " - we add some small scatter in the 2nd dimension?\n", " - we perform a coordinate rotation so that y ~ m x?\n", " - y ~ f(x) where f(x) is nonlinear?" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "The scatter adds new information in a second dimension, but we can approximately ignore it under two assumptions:\n", "- The relative scaling of the x and y columns is meaningful (which is almost certainly not true if these columns have different dimensions - recall our earlier comments about normalizing data).\n", "- The origin of the scatter is due to measurement error or some other un-informative process.\n", "\n", "The rotation does not change the effective dimensionality of the data.\n", "\n", "A non-linear relationship between x and y also does not change the underlying dimensionality since we could, in principle, perform a non-linear change of coordinates to undo it. However, we can expect that non-linear relationships will be harder to deal with than linear ones." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Add some scatter in the 2nd dimension.\n", "data['y'] = gen.normal(scale=0.04, size=len(data))\n", "sns.jointplot(x='x', y='y', data=data);\n", "plt.ylim(-1, +1);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Rotate by 30 deg counter-clockwise.\n", "theta = np.deg2rad(30.)\n", "rotated = data.copy()\n", "rotated['x'] = np.cos(theta) * data['x'] - np.sin(theta) * data['y']\n", "rotated['y'] = np.cos(theta) * data['x'] + np.sin(theta) * data['y']\n", "sns.jointplot(x='x', y='y', data=rotated);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Use the nonlinear y ~ x ** 2 + x instead of y ~ x.\n", "nonlinear = rotated.copy()\n", "nonlinear['y'] = rotated['y'] + rotated['x'] ** 2\n", "sns.jointplot(x='x', y='y', data=nonlinear);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use `spectra_data` below. Note from the table above that it appears to be severely undersampled with N=200, D=500." ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**EXERCISE:** Plot some rows (samples) of `spectra_data` using `plt.plot(spectra_data.iloc[i], '.')` to get a feel for this dataset. What do you think the effective dimensionality of this data is? (Hint: how many independent parameters you would need to generate this data?)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "solution2": "hidden" }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(10):\n", " plt.plot(spectra_data.iloc[i], '.')" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "Each sample is a graph of a smooth function with some noise added. The smooth function has three distinct components: \n", "- two peaks, with fixed locations and shapes, and normalizations that vary independently.\n", "- a smooth background with no free parameters.\n", "Since the data could be reproduced with just normalization parameters (except for the noise), it has an effective dimensionality of $d=2$.\n", "\n", "Note that the relative normalization of each feature is significant here, so we would not want to normalize this data and lose this information. We refer to each sample as a \"spectrum\" since it looks similar to spectra obtained in different areas of physics (astronomy, nuclear physics, particle physics, ...)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# Add your solution here..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Decompositions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The goal of a linear decomposition is to automatically identify linear combinations of the original features that account for most of the variance in the data. Note that we are using variance (spread) as a proxy for \"useful information\", so it is essential that the relative normalization of our features is meaningful.\n", "\n", "If we represent our data with the $N\\times D$ matrix $X$, then a linear decomposition can be represented as the following matrix multiplication:\n", "![Linear Decomposition](img/Dimensionality/LinearDecomposition.png)\n", "\n", "The $N\\times d$ matrix $Y$ is a reduced representation of the original data $X$, with $d < D$ new features that are linear combinations of the original $D$ feature. We call the new features \"latent variables\", since they were already present in $X$ but only implicitly.\n", "\n", "The $d\\times D$ matrix $M$ specifies the relationship between the old and new features: each column is a unit vector for a new feature in terms of the old features. Note that $M$ is not square when $d < D$ and unit vectors are generally not mutually orthogonal (except for the PCA method)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A linear decomposition is not exact (hence the $\\simeq$ above) and there is no \"best\" prescription for determining $Y$ and $M$. Below we review the most popular prescriptions implemented in the [sklearn.decomposition](http://scikit-learn.org/stable/modules/decomposition.html) module (links are to wikipedia and sklearn documentation):\n", "\n", "| Method | sklearn |\n", "| ------ | ------- |\n", "| [Principal Component Analysis](https://en.wikipedia.org/wiki/Principal_component_analysis) | [PCA](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html) |\n", "| [Factor Analysis](https://en.wikipedia.org/wiki/Factor_analysis) | [FactorAnalysis](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.FactorAnalysis.html) |\n", "| [Non-negative Matrix Factorization](https://en.wikipedia.org/wiki/Non-negative_matrix_factorization) | [NMF](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.NMF.html) |\n", "| [Independent Component Analysis](https://en.wikipedia.org/wiki/Independent_component_analysis) | [FastICA](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.FastICA.html) |\n", "\n", "All methods require that you specify the number of latent variables $d$ (but you can easily experiment with different values) and are called using (method = PCA, FactorAnalysis, NMF, FastICA):\n", "```\n", "fit = decomposition.method(n_components=d).fit(X)\n", "```\n", "The resulting decomposition into $Y$ and $M$ is given by:\n", "```\n", "M = fit.components_\n", "Y = fit.transform(X)\n", "```\n", "except for FastICA, where `M = fit.mixing_.T`.\n", "\n", "When $d < D$, we refer to the decomposition as a \"dimensionality reduction\". A useful visualization of how effectively the latent variables capture the interesting information in the original data is to calculate:\n", "$$\n", "X' = Y M \\; ,\n", "$$\n", "which approximately reconstructs the original data, and compare rows (samples) of $X'$ with the original $X$. They will not agree exactly, but if the differences seem uninteresting (e.g., look like noise), then the dimensionality reduction was successful and you can use $Y$ instead of $X$ for subsequent analysis.\n", "\n", "We will use the function below to demonstrate each of these in turn (but you can ignore its details unless you are interested):" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def demo(method='PCA', d=2, data=spectra_data):\n", " \n", " X = data.values\n", " N, D = X.shape\n", " \n", " if method == 'NMF':\n", " # All data must be positive.\n", " assert np.all(X > 0)\n", " # Analysis includes the mean.\n", " mu = np.zeros(D)\n", " else:\n", " mu = np.mean(X, axis=0)\n", " \n", " kwargs = dict(n_components=d)\n", " if method == 'NMF':\n", " kwargs['max_iter'] = 500\n", " fit = eval('decomposition.' + method)(**kwargs).fit(X)\n", " \n", " # Check that decomposition has the expected shape.\n", " if method == 'FastICA':\n", " M = fit.mixing_.T\n", " else:\n", " M = fit.components_\n", " assert M.shape == (d, D)\n", " Y = fit.transform(X)\n", " assert Y.shape == (N, d)\n", " \n", " # Reconstruct X - mu from the fitted Y, M.\n", " Xr = np.dot(Y, M) + mu\n", " assert Xr.shape == X.shape\n", " \n", " # Plot pairs of latent vars.\n", " columns = ['y{}'.format(i) for i in range(d)]\n", " sns.pairplot(pd.DataFrame(Y, columns=columns))\n", " plt.show()\n", " \n", " # Compare a few samples from X and Xr.\n", " fig = plt.figure(figsize=(8.5, 4))\n", " for i,c in zip((0, 6, 7), sns.color_palette()):\n", " plt.plot(X[i], '.', c=c, ms=3, alpha=0.5)\n", " plt.plot(Xr[i], '-', c=c, lw=2)\n", " plt.xlim(-0.5, D+0.5)\n", " plt.xlabel('Feature #')\n", " plt.ylabel('Feature Value')\n", " label = '{}(d={}): $\\sigma = {:.2f}$'.format(method, d, np.std(Xr - X))\n", " plt.text(0.95, 0.9, label, horizontalalignment='right',\n", " fontsize='x-large', transform=plt.gca().transAxes)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCA is the most commonly used method for dimensionality reduction. The decomposition is uniquely specified by the following prescription (more details [here](https://en.wikipedia.org/wiki/Principal_component_analysis#Computing_PCA_using_the_covariance_method)):\n", "- Find the eigenvectors and eigenvalues of\n", "$$\n", "C = \\frac{1}{N-1}\\, X^T X\n", "$$\n", "which is an [empirical estimate](https://en.wikipedia.org/wiki/Covariance#Calculating_the_sample_covariance) of the covariance matrix for the data.\n", "- Construct $M$ out of the eigenvectors, ordered by decreasing eigenvalue (which are all positive) and solve the resulting linear equations for $Y$. At this point the decomposition is exact with $d = D$.\n", "- Shrink $Y$ and $M$ from $D$ to $d$ rows ($M$) or columns ($Y$), which makes the decomposition approximate while discarding the least amount of variance in the original data (which we use as a proxy for \"useful information\").\n", "\n", "![PCA decomposition](img/Dimensionality/PCAdecomposition.png)\n", "\n", "The full $M$ matrix (before shrinking $D\\rightarrow d$) is orthogonal $M^T = M^{-1}$ and satisfies $X^T X = M^T \\Lambda M$, where $\\Lambda$ is a diagonal matrix of the decreasing eigenvalues. Note that this description glosses over some details that you will explore in your homework.\n", "\n", "The resulting latent variables are *statistically uncorrelated* (which is a weaker statement than *statistically independent* -- see below), i.e., the [correlation coefficients](https://en.wikipedia.org/wiki/Correlation_coefficient) between different columns of $Y$ are approximately zero:\n", "$$\n", "\\rho(j,k) = \\frac{Y_j\\cdot Y_k}{|Y_j|\\,|Y_k|} \\simeq 0 \\; .\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The PCA demonstration below shows a pairplot of the latent variables from a $d=2$ decomposition, followed by a reconstruction of some samples (red curves) compared with the originals (red points).\n", "\n", "Note that the reconstructed samples are in some sense *better* than the originals since the original noise was associated with a small eigenvalue that was trimmed!" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo('PCA', d=2)" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden", "solution2_first": true }, "source": [ "**DISCUSS:** How many clusters do you expect to see in the scatter plot of `y0` versus `y1` above based on what you know about this dataset? Can you identify these clusters in plot above?" ] }, { "cell_type": "markdown", "metadata": { "solution2": "hidden" }, "source": [ "We expect to see 4 clusters, corresponding to spectra with:\n", "- No peaks.\n", "- Only the lower peak.\n", "- Only the upper peak.\n", "- Both peaks.\n", "\n", "We already saw that this data can be generated from two flux values, giving the normalization of each peak. Lets assume that y0 and y1 are related to these fluxes to identify the clusters:\n", "- Points near (-2000, -2000), with very little spread.\n", "- Points along the horizontal line with y0 ~ -2000.\n", "- Points along the diagonal line.\n", "- Points scattered between the two lines." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Factor Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Factor analysis (FA) often produces similar results to PCA, but is conceptually different.\n", "\n", "Both PCA and FA implicitly assume that the data is approximately sampled from a multidimensional Gaussian. PCA then finds the principal axes of the the resulting multidimensional ellipsoid, while FA is based on a model for how the original data is generated from the latent variables. Specifically, FA seeks latent variables that are uncorrelated unit Gaussians and allows for different noise levels in each feature, while assuming that this noise is uncorrelated with the latent variables. PCA does not distinguish between \"signal\" and \"noise\" and implicitly assumes that the large eigenvalues are more signal-like and small ones more noise-like.\n", "\n", "When the FA assumptions about the data (of Gaussian latent variables with uncorrelated noise added) are correct, it is certaintly the better choice, in principle. In practice, FA decomposition is more expensive and requires an iterative Expectation-Maximization (EM) algorithm. You should normally try both, but prefer the simpler PCA when the results are indistinguishable." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo('FactorAnalysis', d=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Non-negative Matrix Factorization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most linear factorizations start by centering each feature about its mean over the samples:\n", "$$\n", "X_{ij} \\rightarrow X_{ij} - \\mu_i \\quad , \\quad \\mu_i \\equiv \\frac{1}{N} \\sum_i\\, X_{ij} \\; .\n", "$$\n", "As a result, latent variables are equally likely to be positive or negative.\n", "\n", "Non-negative matrix factorization (NMF) assumes that the data are a (possibly noisy) linear superposition of different components, which is often a good description of data resulting from a physical process. For example, the spectrum of a galaxy is a superposition of the spectra of its constituent stars, and the spectrum of a radioactive sample is a superposition of the decays of its constituent unstable isotopes.\n", "\n", "These processes can only **add** data, so the elements of $Y$ and $M$ should all be $\\ge 0$ if the latent variables describe additive mixtures of different processes. The NMF factorization guarantees that both $Y$ and $M$ are positive, and requires that the input $X$ is also positive. However, there is no guarantee that the non-negative latent variables found by NMF are due to physical mixtures.\n", "\n", "Since NMF does not internally subtract out the means $\\mu_i$, it generally needs an additional component to model the mean. For `spectra_data` then, we should use d=3 for NMF to compare with PCA using d=2:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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MwQOr5+A3d3wdLo8P92xtxwN/PBg2xkKJNnb7zK6kfGrUMjFWLZ6CMtXwPV0xu27EfMyX0NZ8h4QJgsgVHGC1u6NGdcQdahkpOAj9Jzi+xTmhsE7OXyAp4NcR+GxgcY17I+KAWr0cd9wwY0RJaIMxuqNbvhWPKkYS7WO+z992/TT87vkPowoCfOPEbHVDyYpQV6GAz8fFJeBGG7sffH6e/9pD8+LwMQO/oDEkMIPz4ZbrpvrbKIiuQSNiQ2YOgsghMlbMaz9OxIYcqfq944YZeO7Vz3jt4ImGdcYSPur0ihHObHfdOAtqBQOTNcKu7QPqq5TBktDggFfaT8BsdUf3gci34lHFSKJ9HPF5hZTB757/EGf7bAD4fS7UcjE2fPcSHO3sh48D3v7oFFYtnhK8Trymlmhj1+fDyGvzpM7mNVdwgFImwRvvfoZ7bv4qHG4P7zUUUiZo3iP4IWGCIHKISs6MsB+3NjdCo2KhVjKAN/b3+VS/j7zwCVrmN2DHGx3Bz8USAGJVUYwpfPBsRPVjtWg/dIZ3Ee83ObGt7fMR14jpA5FvxaOKkUT7OOTz3QZrUJAIECYICICjXSOF3Sn1mmAeh3gFXL5IjJXNjdjXfmLEtQHE7Viqlolx7WUN6DhpxIEPT2Jlc2OYz8Tqlqn43fMfYtXiKeQ7EQMSJggihyhZEcZWKLB0wQRIWSHGj9H4q4haXLA73LigUhlz8Yp2qhNGGDBjCQCxTqJ8C3iY8BGxEfX026Iu4kkluyLymtGeaTRhN0xzMdoYCxBFK9JrdIy4dkKOpUO/W1upwJgKOba99jla5jeAlQgxsbYMLpcHty+bAZPViT6LCzqlhAQKHkiYIIhcwgFSVoSvjNfCYHTioaeHwyxvaZkKfZkMCnH0ENFoi3nA4TEeASDmwpig8NFvsidkFomlFSHyn9EEgbg29UTGWOjYFQCrFk/hv7ZAkJjgOlSufHy1Ck2zasFKhFBIGfzyqXfDtCD/u/8z0lBEgYQJgsgxYpEIHIDf7zocdoL7w+4juH/1pVBoogsT0RbzWr08fb4GCQgf5WpZQmYREiQKnFGeadzaqGTMWTGuHbe2I4KAKW7FNxqx7bWRUVYt8xso10kUMipMPPzww3j11VchEAiwfPlyfO9730N7ezt+9atfwel04qqrrsJdd92VySYQRN6jkjM4ZbDyn+AsDlRrY+SbiLag+pJYnNNQP2NMBb/2QSgUDOcQkJMPRFERQxDg29RvXzYdQpEwOYdGnjHKe+2QeWFzeyFnRHEJrsHIkyhRHYHXT/fZoK4l7UQoGRMm3n33XfzjH//Anj174PF4cPXVV2Pu3LnYsGEDnnnmGYwZMwZr1qzBgQMH0NTUlKlmEETeo2RFKFfzn+AUUmaoHkaMU1A6nBTTlBBIKBSMEG4MRgd+8sjfKQlQKRKyqZ/us+FkjwXP7j8Ks9Wd+DhIdIwOzYuGunIYDOa4rqOWiXHHDTNw2mDlnY/g/P8/2WPBOJ2ctBMhZCzPxNe+9jX86U9/glgsRl9fH7xeL0wmE+rr61FbWwuxWIwlS5Zg//79mWoCQRQGHOD1ebG6ZWpY/P7qlqk402tBr8mZ8SaktfjS0CJeV6EAAPz2uQ8pCVApM7SJb9n+Mba1fY5eoyOpcZCVAmEccNEFWkxtKMeapdPC5uPK5ka8/fEprGxuxOvvdaHPnPl5WUhk1MzBMAy2bNmC//7v/8bixYtx/vx56PX64PuVlZXo6elJ6Dd1OmWM66V2O3q9KqXv5+u1CpV87qNY4xBIvO09JifefK8L61fOhMPlhVQiwt63j2NGYxUuHMdkvC/OHTPwqnVtbi8a6soT+q3QtqbzdwuFbI/bWGMxX+ZQOsZBKr+RaD/oypT4UjaIpQsmoLpcDgkjQs+AFZfPrMG+ofwoQqEAOp0SQmFhlBfN9FjIuAPm+vXrccstt+C2225DZ2cnBILhjuc4LuzveOjrs8DHU5lQr1fB7Y6eHz4eDAZzSt+PF71elbVrFSr50EexJl+0cRj4XqJtV0jF+MbX6rFl+3AtjEWXjodKzsDn42DojU9NmyzyKMmz5IwooXuJvPd0/W6hkKlxm8xYzIc5FCAd4yDZ30i2HzRSEcbpFXju1c+CFW8Dc7OqXI7Osyao5RKUKfLfiThdYyHWOMyYMHH8+HG4XC5MmTIFMpkMixYtwv79+yESDXumGwwGVFZWZqoJBFEwKFl/fYNvXz0ZcimDx3ceHg4RvW4qFKx4uCpjOoh0ZJMn5/0+GpEOeGN0ctx2/XR/YiGBIPsVGdPgZFoUZLkfAuPg2f1HcfnMGgiFwJQLyqFWMMHkVfH+RtxjdOgezx0zQM6Kk6owetEFWqxbMRP9Jgd+/K1ZMFpceHL3keD1tdez6Jcx0FN10cwJE6dOncKWLVvw/PPPAwDeeOMNtLa24te//jW6urpQU1ODvXv3YtmyZZlqAkEUDpzfk/zkeQv+tC8iRPTlI7h/9Zz0CRPRHNnqMxC2GeKAZ3G4MWB2heXSyKozZrqqThY6uegHDphSr8FNV07GIy98ktx1EwktTtc9+gCX24vuHguEAgF2vXUsbG4+vvMwWuY34Lf/+2FpjqUQ4nLAtFqtcDgco38whKamJixYsADXXXcdli1bhosvvhjXXHMNNm7ciHXr1uHqq6/GhRdeiMWLFyfVcIIoNpxOD8ZWKHjtwha7O23u0lEd2azuoOOkWpaAIBFSaOz0eQtvQSW1jIFSygQ3krDrZskZMysOfAVArvrBZHUn9/xDC9nZPVDLRx+j6bxHrZLF2x+dQlW5nHduVunkUCmYkhxLoUQ96litVvz2t7/Fn//8Z1itVgCAWq3GN77xDdx7771Qq9Wj/vi6deuwbt26sNfmzp2LPXv2pNhsgig+lHJJ1Mx9cimDAYsbZalUzAyofQeiZ6lMONQtgRNgQimOM0Cur58v5KofkrpukhqG0arjJmLeUcvEuOnKyTBZXbxz0zBgx9XzxmNf+4mSG0uhRD3r/Pu//zsUCgV2796NI0eO4MiRI9i5cycqKipw9913Z7ONBFESqGViiMVCtDY3RoSIXgSGEcKRioOxYLgs+ZdnTPGVDo+DRE6AcZcszxC5vn6+kKt+SOa6yWoYol1LIBDgnq3tUcul88IBZUoJKstkWN1yUdjcvOnKSWAZIVxuL76/ZCrKVewoP1a8RBUmPv/8c/z4xz/GuHHjIBKJIBKJMG7cOPzoRz/CyZMns9lGgigNOMBsc+OV9hNYsXAi7lx5MZYumIDtr3fgZ4+/A8OAY/SFLwqhi/Kb73djZYTAEnRkS5DRToChKmoA+PFNs9Jy3WQIOPDl6vr5Qq76Ie7rhowZq9MLlSL8/bDxlcC17rhhBh7feSgp04dSLsHx04Ow2N2459tfxYqFjVixcCIYsRDb2jqwra0DD2/7CCfPW5Oeo4VOVDMHwzA4efIkamtrw17v7u6GWEwlPQgiE+g1UpitbjhdvrCFDwAee+lQ0jUBQjf9XqMD+9pPoGV+Ay4cp0Z1mSxpZ8uYtReiqKh/c8fX0W92Zr82B58Dn4KByVpi0R256od4HCh5xkxrcyNeaT8RrA4alxaFJ522xe6OXS49BmqZGFMuKMfjOw/h+9+cit0HjqNlfgN2vH50hHDy4Jq50KlKr7JoVKngRz/6EVauXInp06ejuroaAoEAPT09OHToEB566KFstpEgSobAierkeXNa7dqRm36v0YHdfz0+LJwkufDFCteLpqLetHZeMDtm1hfciKqTR7tKNLojV/0wSup3vjGzra0DSxdMwLa2zxMLWY5Mp51oJdGI36rVy3HTlZOx880O3NIyFb2D/L5HJ89bYHNKUauXxx32WgxENXMsWLAAe/fuxVtvvQW9Xo/q6mosXrwYe/bswfz587PZRoIoHYZOVBc36nltvoAgKTVqxlTbISfAB1bPwcM/WhDchEY1geQYiu7wk0/9EG3MTKjR4IHVc7Bp7bykhZyU54APuKheizXXTUO1ThZ1jp7rs+Ghp9/Dp53GkjJ5xLRXlJeXY9OmTXjhhRdgMBiwYsUKCIUZK+dBEAQAcIDd6cEPvnkR/rjn0+BpcWVzI57YdQj3rJqduHYik+W/Q06ber0ymGkv7vLTOYKiO/zkUz9EGzMVajb1SrPpmAMRGp07bpgRljdjZXMj9rWfgNPtxSMvfFJSpcpHdX5oaWlBS0sLjh8/jpdeegnLly/HxRdfjJtvvhnTp0/PRhsJouQQCgWwO91omd8QLNW8b8hunPQin47qonyEZFN0cQJIhIFrZSarZrrId2EnW+RTPyQ0ZpLJ4pnOOTAU5bHhe5egz+jAuT5bcI4CfoGsz+zMm/GeaeLypPT5fOjq6kJnZye8Xi90Oh0eeOABLFiwAOvXr890Gwmi5JCzYlTrlPhdSMVNIA83u1HyAGRMG5IG8l3YyRZ51Q/xjpk8yWaqlEvwybFeVOsU2P3X4yPmqtPlw9HuwZLwwxlVmNi8eTN27tyJ2tpa3HTTTXj44YfBMAxsNhv+5V/+hYQJgsgADpcHFrsLq1umhtUCWLN0Wl5VKYzlZBlw7MyINiQd5LmwkzXyrR/iGDOjjrssoZaJMVangJfzjpirt1w3FRJGgD/u+WdypskCY1Rhor+/H3/4wx8wefLksNflcjn+8z//M2MNI4hSRimT4H/3f4bl35iEH900Cx6vDyKhAHKpCFanO71Fv1Ign+ztSZHPwk42KbB+yJtxxwENY1UYsLrR09+H/+/Gi8FxwIDJDrPVhV6jHd+59iLY3Z7CmA8pMOqK9Itf/CLqe5dddllaG0MQhB+1TIyVzZPxxK5DwfLHgRPPD2+YgSqNLL0LfpJVJPPJ3k6UDmkdd6lWUOWAMgWDCo0MXWfNOPDhyRFzdu3y6VBIJVCyorwX1JIlP443BEGEw/n/c/nMGrQd7Bp2xATw/KufpVdtGsv+jNgLbV7Z24mSIalxxyc0IE2+F0OmIlYigs/HYXtbB1QKBi2z/fP2bK8NRrMTFRpZ0fpPkDBBEHmKVslCIRONOOWsbG6EyZ4+dW4s+/PpXlvshTbC3l6tU0Ii5IpysSTyiET9PKIIzOMq5OnzveCACo0Ux4SASsHg6nnjw+btmqXTsPdvxzHuumlFafKgpBEEkaeoZWI01JQFFyTAv9htb+uAUChKW0KcaPbnXpMzvmRGQ/b2ugoFxlUqSZAgskPIuBsti2s0gbnX5ExrYrVA2u2Fl9SPmLdP7DqMlqaJGLS7ijKZFQkTBJGvcIDT5eFd7D7v6k9bhsJoFRalrDivM1gSRLxEE5hlrDi9FVSH0m7XVil5r9d5dhBWmze+aqUFBgkTBJHHqBWSKGm1kbZNPVaaYSrZTRQD0QRmVbSxr2CClUtNDk9iG78PGFeh4L1ebZUKTrcHJ89bYHF4Ur2tvIJ8Jggij3E6Pbj1uqn4/cvD8eutzY2QSkQoV7Fpu45ELMTSBRPg4zgIBQJIxEIopaIwJ7cxOjluu366X4gRCEqjwiZRFEQ6bAbGcr/Zidoq5YgKqqkWPlPLxCNSba9umYpn/3IUZ/tsYBkRqnVyTB9fVjRziIQJgshjlHIJus9bsHTBBLASISrL5Djba8WgNX1FmEw2N37Lk2kzUFRp09p5sDjcGDC78NDT75VehU2i8Alx2BxtLJusaUiIxQEXXaDFhu9egqOd/aitUgUFCcDvoHmuzwaljEGFRloUgjmZOQgij1HLxNAoWbz+Xhc4Dtiy/WM8u/8z7HrrGL48a07LDI5Z3XPIyU0pZYKnrMD7z+4/ij6zKzlVsADJq5EJAkh8DAUSc8klOG2woqWpASsWNkKlYMIci9NW7dYH1FbIcelXqgAgKEhUaKW4et547HrrGB586l3c8+jfi8KHgjQTBJHPcH77K593+GMvHcKG716C2gp5SqeaeBIARS6wFVopmufU474n3gk73enKlaNfME/qKhAFTLJjSAB8edaMXW8dG1HpM5A9M60JsYYEGAz5UDjdXlwxu27EXM5FKvB0Q5oJgshz1DJxDO9wU8pRHbEcMANEOrBFWxDP9lpHvV60ML10RacQxU+yY8hkc+Oxlw6NCLVeeEl9UFiIZz4kilAAtDY3+n9TgKKMkiLNBEHkO9ywd3jkaammUgWL053aiSaOBECRDmxCIf+C2G+2o1otjXm5vKmrQBQsyY6haN+rrVIOj/kMFD7rNznxSvsJtMxvQMM4De9chkDgN3UUqHaONBMEUQCoZWKsXT4j7LS0srkRT+4+DJFQNMq342C0BEAhC+wDq+dg9qRK3tC3cpVs1EtFC9OjkFMiXpIdQ9G+N04XYSpMICFWvO01W93Y8UYHzhgsWN0ydcRcfmLnoYLWzpEwQRCFAAcopGK0zPc7jbXMb8C+9hM422eD0eLMWhsCC6xOJeFVBY+pUIz6M5lQIxOlRbJjKFdjL/S6dpcXFruLdy73mrI0lzMAmTkIokBQyBjs/utxON1eVGiluGJ2HYRCfw2PrKtHo6iChcI4XNIzoEYmSoxkx1Cuxl7Ida1OLw4f7+Ody3IZU7CmDhImCKJAUMrFuKVlKl76vy/Cin/teut4bqIhAqF2ARt1glUWk/4uQQDJj6Fcjb1gaCoDyxgVWpsb8drBrhFz+Y4bZuCiC7SAL0vtShNk5iCIAkHBiFChkeL2ZTN4IykK2d5KECUDB0ysUWNinRa3XT99xFx+5IVPcNJgK7i8ExkVJh555BFcc801uOaaa/DrX/8aANDe3o4lS5Zg0aJF2Lx5cyYvTxDFBQfUVSqiFv8qZHsrQZQUPmBsmQxuj493Lh/tTF8hv2yRMWGivb0df/vb37Br1y68/PLL+PTTT7F3715s2LABW7duxb59+3DkyBEcOHAgU00giOKDA+RS/gJcUpaslgRRMHBAhUbKO5d9vvQV8ssWGVt99Ho97r33Xkgk/lCdhoYGdHZ2or6+HrW1tQCAJUuWYP/+/WhqaspUM4g4UGtkYCXJDwWnywPToD2NLSJioZIzaG1uxLYh9Wig+JdaRsIEQRQSfAXBVjY3ou1gF+ZNrcp18xIiY6vPxIkTg//u7OzEX/7yF6xatQp6vT74emVlJXp6ejLVBCJOWIkYP3k4eQ3Rb+4kYTCbKFkRavRK3HTlJFRoZXC6vNBrZVDKxAXntAWBPyuh0eKCVsUWRcEjIr/w+TiY7Hk6xiIKgvl8wHufni3I6rwZP8p88cUXWLNmDe6++26IRCJ0dnYG3+M4DgJBYl4mOl303P8Mk9rt6PWqlL6fr9eKh3zsu3zro1BijUMg820v0yrw90NnsGX7cG2Cu26chbnTxsQXnplB4r13n4/DO4fPYvPzH+bdPaRCtsdtrLGYz3MoGxTKGNOVKVFVrsCgzYG6alVYRdN0tTfTYyGjwsQHH3yA9evXY8OGDbjmmmvw7rvvwmAwBN83GAyorKxM6Df7+izw+UaKaXq9Cm63J6X2GgzmlL4fL3q9KmvXiod87Lt86KNYky/aOAx8L9NtN9nd+K+I2gSbn/8Q1WW5LRaUyL2b7O7gIg/kzz2kQqaefTJjMR/mUK4ppDEmEQCsUJiReZ2usRBrHGbMAfPs2bP44Q9/iN/+9re45pprAAAzZszAiRMn0NXVBa/Xi71792L+/PmZagJBFC1pK5OcQ4rhHoj8ptDGWKG1N5SMaSb++Mc/wul0YuPGjcHXWltbsXHjRqxbtw5OpxNNTU1YvHhxpppAEEVLWssk54hiuAcivym0MVZo7Q0lY8LEfffdh/vuu4/3vT179mTqsgRREkRW8QyrMVAAzlpAcdwDkd+oZWLcdeOsMJ+JfB5jhTwnKJaMIAqRYqhvUQz3QOQ3HDB32hhUlxXIGCvgOUHCBEEUKsVQ36IY7oHIa4RCQWGNsQKdE1SbgyAIgiCIlCBhgiAIgiCIlCBhgiAIgiCIlCCfiSIg1doaBEEQBJEKtAMVAVRbgyAIgsglZOYgCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlSJggCIIgCCIlKANmHkDpsAmCIIhChnawPIDSYRMEQRCFDJk5CIIgCIJICRImCIIgCIJICRImCIIgCIJICRImCIIgCIJICRImCIIgCIJICRImCIIgCIJICRImCIIgCIJICcozQaSM2+ODXq9K+vtOlwemQXsaW0QQBEFkExImiJRhxEJKukUQBFHCkJmDIAiCIIiUyKgwYbFYcO211+LUqVMAgPb2dixZsgSLFi3C5s2bM3lpgiAIgiCyRMaEiU8++QQ33ngjOjs7AQAOhwMbNmzA1q1bsW/fPhw5cgQHDiSvGicIgiAIIj/ImDCxY8cO3H///aisrAQAHDp0CPX19aitrYVYLMaSJUuwf//+TF2eIAiiMBAAJrsb3QYrTA4PIMh1g3II9UXBkjEHzF/+8pdhf58/fx56vT74d2VlJXp6ehL+XZ1OGfU9hkntdlKJSEj1Wqm2vdC/z9f32XweiRJrHAL53fZMkw/37vNxONtrRd+gHTKpGB6vD1abG2olC4/XC41CiqpyOXr6beg32VGmkkIoFKBv0I5ytQx6rQyd50zoNdpRpmIhEABCoRAerxdapRReHwezzQmxSASH0wOdRoYxFQoAid2/z8fhncNnsfn5D+F0e8EyItx14yzMnTYGQmF8O2mssZgPzyJe0tEXPh+H0wYLzvVZwTIiMIwQblhQWaZAT78NFrsTPh8wYHaiQiuDSs5gwOwY8Rx9Pg5fnhlEr9EOnUYKr88Hm92Dap0CY/XKuNuTT2R6LGQtmsPn80EgGH4AHMeF/R0vfX0W+HzciNf1ehXcbk9KbTQYzCl9P170elXYtdLR9kL/fmTfR/ZRLog1+aKNw8D3ct32XJHwvQsAk80Ni90NlhVj0OKCVi2B281hwORAuUYKr88LiVgMnVaC3gEXjBYnlHIGTpcXrEQEmUQMh9sLr5eDzeGGVCKCUAA8+uIhnO2zYYxOjtUt03CyxwQOQF2VGp91nkVdlQq/f/kwzvbZwDIitDY34pX2E9BrpGiecwGe2HU4uKmtbpmKN9/rwqXTxkIiFmLP21+ieU49trd1BD+zfsVMXDZzHPr6LHHfvsnuDm6eAOB0e7H5+Q9RXTYPahkT1q/RiLUmFtI4jLcvoiIAjnYPYsuOj4PPpLW5ERqlBEeFQrz6zglccUk9ntx9JPj+LddNhUAA/H6X/7UxOjluu346LHY3TvZYcOxkPxZ+7QJ0nh2EjwN+//JhrG6ZCpVCArvDA6fbi3INC4vVDalUBM4nwIDZgXK1FJXlLOABLA4PbC4vTFYXWEYEmVQMGStCn9EBrZKFWiYG+JeStJGusRBrHGZNmKiurobBYAj+bTAYgiYQgiDymKEN32h1QSFl4PF6IRaJYHW4wxdDAXDqvBm9RjtsDg/K1Sx0KgnAAVaXFw6XF3aXF3anByoZA0YsxIDZCZFIAI7jcOTEADRKBoNWF34fspHfvmw6TBYj1EoZHnvpUPD1lc2NeO/Ts7h63nj0m1147tXPwjaRJZdfiP/74CTmThuLXz/zfth7r7SfgNnqxsrmRuxrP4FeowPb2jrQMr8B9WNU2LL947BN7cndR7B+5Uxs2f4xli6YgMtn1gQFicBntuz4GA01WkgSOCMZLa7gbwRwur0wWl3xbaBFRKp9YbK5g4JE4Lvb2jpw58qL8fD2j4LPL/T9P7x8BHeuvBhOtxcVWima59TjoaffCwoWy7/RGKYp+f6Sr8DucKP7nBnbQgTJH3zzIsgkIjzy4vD4XLN0Gmoq5fjyjBlP/fmfYYKpVsmgTCOF2e7GeaMdlWUyeHwcrHY3XG4vFDK/sKySM5CyIpgsbljtbsilDFRyBkpWFLznwLx0ujxQK1n4vD4YLS5oVdkRVAJkTZiYMWMGTpw4ga6uLtTU1GDv3r1YtmxZti5PEKUNA/QZXbA5PXC4vChTsqgokwDuUb4Xcdobo5Pj+n+ZGHa6W79iJqbUa3D8tBmnDBZsa+uASsFg4SX1qKlUQl8mhWHADsOAPWwBDt3Ub2mZigMfnsSqq6aMWPAfe+kQ7v3OJfj9rkNhr29v68D6lTNxsseCXW8dG7GJLF0wAdc1TRjxewGhYccbHdge8m+n2wsIAIfTy7upOVz+130cBwjA+5l+sx3Vamncj0WrYsEyorDfYhkRtApJ3L9RLKTaF9GEEbvLr0GI9lztLr9W9YrZdWEC4uUza4JCbeCzA2YXBsyuEePtj3s+xdIFE8Jee2LXYdy/+tKgIBF4/cndR/CTb81G5xkz/vDysEZk2b9MxB9C5tXK5ka0HezCyoWNePUfnZg2oRJCITB+rAYKVoRBqztMC3PTlZMgEQvx9CtHw+dmnSZ6pzFAr9GFAbMTUkYEuVQMj88LRixCuUIC+OLqegBZzDPBsiw2btyIdevW4eqrr8aFF16IxYsXZ+vyBFG6MMA/Txhx5HgfHnrqPfzq6ffw0yfewaEvBoBRDnyRp73LZ9YEBQlg+ETeZ3Lh+BlTUJC4et547HrrGH77vx+gz+jEqfPWoCAR+N62tg5cMbvOf0LcfQSXz6yJuuB/3tWPy2fWjHjd4fRv7nzf8XFcUACIfC/g2Bf6b5YRARwgk4r8/w6BZUSQSvyvC4fMs3yfKVfJYndoBGqZGOtXzAz+VmADUMtLSysBpN4XAWEkFJbxm8H85gX+5yqTDJ2pIwVEHoHRx3Exx1vkawNmB+9nTTZXUJAA/PPqDxHzantbBy6fWYPHdh5GS9NE7P7rcWxr68DvnvsQTg83Qgvz3KufY9DqHjE3TbYoJwYGOPTFAH76+Dv41dPv4aGn38OR433oMzrxQlsHDp8YSEhCyLhm4s033wz+e+7cudizZ0+mL0kQRAg9fU6c6rGOOE099tIhPHDLpahSs1G/O+K0F+VE3mdyBBfZltkNYSc8u9MTdQGO3NQDC37k6dTnA4QRCxvLiCBj/Zs733eEAkFQAIh8L6D6Dfw7zGfimBRrlk4b4TOx9+3jwdPfnre/xMrmxhE+E2MqFAn5TIADptRpsGntPBitLmgVEv/mmSXVdF6RYl8EhJFInwmHy43bl03Hn/96HKtbpo7wmbC73GECTORYCf07VJDkG2+hsIwI5Wop72dZiSiueRV4vfPsYNjc/eLkQNwCjdHq4u2vnj5n0GwY+GxAo3f11y/EQ0+/hwfXzIVOGZ9miNJpE0SR0x+y0YcSODnFEiaiqZ4j/9appeg8a/YvyhELo0wafcOP3NR3vXUMty2bjscjfCPaDnbh1qXTgr8ReP3Pbx/H1fPG46YrJ4/wmagsl0MqEY7YQAJCA8uIcMcNM1CmkmDe1CoIhQKMH6v2b2JKBg+umYs+kwNaFQuO8+H7S6bC6fZALZdgSn0ZLA43Hlwz1+87MrTxJeXlzwFqGTPsF1CKgkSAVPoiRBjpNTnBSkQQi4UoV0nBCDlcUKWE3e3Bz2+9FEazEzq1FFJWhEGLEw+umQun24PaSiUeeeETON1evP3RqRFCZU2lAgIB0NrcyOszETo+1yydBqHQh9uXT8djL4aP516jPa55FRB0fRHmBh8Xv0ATzUzUb+LXmvg4DiabK3hIIGGCIAgAQLlGipM9Ft7Fp0wV274fedp7+6NTIzbn9StmQqeWoGGsGq3NjXC6fWHX2vXWMbRcfuGIBTh0U7/luql46c0vcLbPhn8cOo17v/NVfN41AJ8PaDvYhRu+0QiNksEv1syF0eqEUsrA6fZicn0ZZKwYFeVe/OwHc2AdiuaQDC3soqH7DN30w4SGiJOvkh1aEr2ATinhWUiH/w5seMHPlLIQkC9ECiMA9HolDAZz2OuVqmEBWlEmH/qXBGPL5eGaEQUT/FshZWB3uaFWSqEvk2NDzSVwurwoV7Ow2N2QsiI8cMulGDA7UKaSokrHAl5AJBSNGM/XNTWECcBvf3QKt7RM5fWZWLt8Ora99nnYbb790SncccOMoOAT6jMRKtDEMhOVa/i1JkKBAGq5JHhIiBcSJtKEWiMDK4m/Owsp/psobLQqMWqqFCM289uXTUeFThzbCTNC9ayQMvD4vCNO5PABDWNVqKlWYcDsQLVOHlShdp+zQC5lMLVBgX+v/VpYNEfdGBWkEjFYib89DpcX5SoW5RoJlFIGvSYHZjZeDJVcDIXEf1Kr4DkpaaSBuTdy8QsICKGCQVBoIAGACCVSGPFFCidDY0giAkJO/OXy4X8HNX1D86pc4d+Y2Ql6mGxOzJp8MVxuDyQSMe77wRzYHW5Ulknh8QEbvncJXG4fFFIxnG4v/vWmWZDJRGhdNAlbQ7QbqxZPwZT68HkZ0JrFayaqKBfj9mXTwyKkWpsboS+TYd/fv8Ta5dOhU8fvhEnCRJpgJeK4K2cyjDgsL0OpV82MVsI8XoHL7fF7HydDKZQ/ZwUiVJfLUDV0mnK4vNAqWZSXiSDyxtFvPKc9gOdEzgE1lSqwAqBaI+Vf1BThP60LXZBDf9/DoxmgjZ8oRDhAwYig0IhQrQloREJNi8MCcHmUENhpF5SNnE/RBB0gLjORyCNC4wVq/OK2uTCa/WYhGSuG1+fF9VdMhF7j16zECwkTRM7hK2EeKXDF4jd3NiVdAr0kBDkOKFewMNndcLl9kElEEAsFfkEigdCvRK9JfgAEkSYyMZ84QCoQwSPmoFJI4PH4YLK4UKFm/cJKAoIEQMIEQZQGHKCWMlBLQ04+mRIkCIIoDDi/yS9o9gt5PVGylmeCIAiCIIjipOA0E5kssFKIxVuI1EnmuY/2nVIeS6V870D27z/W9Ur9WQSgfsh8Hwg4jiNrJkEQBEEQSUNmDoIgCIIgUoKECYIgCIIgUoKECYIgCIIgUoKECYIgCIIgUoKECYIgCIIgUqLgQkP7+izw+Qo7AKWsTI6BAVuum5HX5EMfxUrnHWsc5kPbc0Up3zuQuftPZiyW+rMIQP2Qvj6INQ5JM5EDxEnWkSglCrmPCrntqVLK9w7k1/3nU1tyCfVDdvqAhAmCIAiCIFKChAmCIAiCIFKiOIUJAWCyu9FtsMLk8ACUSZUgCCL/obW7YCk4B8xREQBHuwexZcfHcLq9YBkR1q+YiSl1GiqDTBAEka/Q2l3QFJ1mwmRzBwcjADjdXmzZ8TFMNneOW0YQBEFEg9buwqboNBNGiys4GAM43V4YrS6oZUyOWkUQ8aHWyMBKkp+WTpcHpkF7GltEENmB1u7CpuiECa2KBcuIwgYly4igVUhy2CqCiA9WIsZPHj6Q9Pd/c2dTGltDENmD1u7CpujMHGqZGOtXzATL+ONqA3Y3tZwkW4IgiHyF1u7Cpug0E+CAKXUabFo7D0arC1qFxD8YyYGHIAgif6G1u6ApPmECADhALWOG7Ww0GAmCIPIfWrsLlqIzcxAEQRAEkV1ImCAIgiAIIiVImCAIgiAIIiVImCAIgiAIIiVImCAIgiAIIiVImCAIgiAIIiVImCAIgiAIIiUyLkxs2rQJ9957LwCgvb0dS5YswaJFi7B58+ZMX5ogCIIgiCyQUWHinXfewa5duwAADocDGzZswNatW7Fv3z4cOXIEBw4kX4OAIAiCIIj8IGPChNFoxObNm3HbbbcBAA4dOoT6+nrU1tZCLBZjyZIl2L9/f6YuTxAEQRBElshYOu2f/exnuOuuu3D27FkAwPnz56HX64PvV1ZWoqenJ+Hf1emUMd/3+Tic7bWi32RHuVqGMRUKCIWChK+TafR6Va6bkPfkcx+NNg5TaTvDpDYtc91vub5+rsn2/ccai6X2LPjWf6D0+oGPTPdBRoSJF154AWPGjMHcuXOxc+dOAIDP54NAMLypcxwX9ne89PVZ4PNFSdguAI52D2LLjo/hdHuDVeem1GnyKse7Xq+CwWDOdTPymnzoo1iTL9Y4TKXter0Kbrcnqe8GyGW/5cNzyyWZuv9kxmLJPYso6/9lM8ehr8+S69bllHSNhVjjMCPCxL59+2AwGNDS0oLBwUHYbDacPn0aIpEo+BmDwYDKysq0XtdkcwcHEgA43V5s2fExNq2dN1w4hiCKGLfHl9IJxOnywDRoT2OLCCI7RFv/x4/TQEpxixknI8LEU089Ffz3zp078e677+LnP/85Fi1ahK6uLtTU1GDv3r1YtmxZWq9rtLqCAymA0+2F0eoiYYIoCRixED95OHnH5t/c2ZTG1hBE9jBa+Nf/zrMmTK5R55V2uhjJWglylmWxceNGrFu3Dk6nE01NTVi8eHFar6GQMmAZUdiAYhkRFFISJAiCIIoZrYrlXf+7z5kxtlxGB8oMk3Fh4vrrr8f1118PAJg7dy727NmTsWs5XR6sbG7E9raOoM1sZXMjnG4PAEnGrksQBEHkFrVMjNuXTcdjLx0KW//3tZ/A5HotCRMZJmuaiWyglEvQdrALLfMbAAEADmg72IVZE2fnumkEQRBEJuGAC8eqsXTBBPg4DuCAfe0nYLa6/c7+Q3sCkRmKyi1FKAC+efmFwVBQoVAQ9jdBEARRvChZEcbpFdh94Dh2vNEBs9WNlc2N2PbaZ+gzu9BtsMLk8PgFCyKtFJVmwmR1weXxYddbx4JqrpuunASTzQUlW1S3ShAEQUTCAWVKSZh2+p3DZzB32ljc98Q7eZ0yoNApqh1WNuRouX7lTDicXgxaHdj/Tid+dOOsHLeMIAiCyAZKuQS7/3o86Ii54hvDfnQTazW4rmkCnC4vDCYn9BoW8OW4wUVC8QgTAqBnwAafj8OW7R+HaSbIAZMgCKI0UMvEWL9iZjDnhFCIoCCxaM4FYfvDbddPw4yGchIo0kDR+EyYbG50n7Ng25AECvgH0HOvfg42xfTEBEEQRIHAAVPqNNi0dh4eWD0Hl3ylGiwjwnVNE/Dk7iNh+8PjOw+jz+TKcYOLg6IRJowWF3wcx5u0xOpw56hVBEEQRNbhALWMQV2FAhNqtFi/YiacLi/v/tBncuSokcVF0QgTWhULoUAAlhGFvc4yImgVZOIgCIIoRYRCAabUaTBOr+DdH9QKliI80kDRCBNqmRgNY9VobW4MDhiWEeH2ZdOhVlCyEoIgiJKFA/QaFrddPy1sf7ilZSqe2nsE9zz6dxztHiSBIgWKx5mAA6rKZTjTZw1GcxgtDmxv+xwXrJpdWtnPBH4fEqPFBa2KhVomphAogiCiUwprhg+Y0VCOB9fMRa/JAc4H7DrwBb44OQgAVBQyRYpHmADQb3Liz3/7ElfMrgtKmG6vr7QKfRVIGXaCIPKEUlozfIBOKYHV7sYDfzwIAKjQSoN7htXphVrOFN99Z4GiMXMAQLlGimvmjcfuvx7Hjtc7sPvAcVwzbzzKVWyum5Y1opXhNdnICZUgiJGU4poRKApWoZXi6pA94z/+eJDMHUlSVMKEz+sbERq6ra0DPl/piJnRyvAarRT+RBDESEpxzQjkolh4SX0woRVQGoJUpigqM4fF7h5Oowrgzfe70Wt0lJSZI1oZXq1CUhp2UYIgRidkLVDIGYzRyXG2zxZ8u+ij4IZyUbCS8LUyYPI4N2AHBAJaIxOgeIQJATBgcQXTqAbKz7Yd7CruSRFBZPa3gP1TrWBwtKtE7KIEQUSHx0fituunYcfrHTjbZxteM4rdd4ADKjTS4OErYPIIaCoC0YAXjlVDyYqKuy/SQNEIEyabG4+88EmYump7Wwfu+fZX/aGhpZIuNST7m9HqglYhgVrOwGTlt4uS9zJBlBZ8PhKP7zyMB9fMhdXhDq4ZpbB5hh6+rphdN8Lk8dhLh7B0wQTUVirp4DUKRSNMGC0uqBQMWmaHmzlO9phRrpSU1oY5lP0teM9cbLtoSfUNQZQ40dYCq8ONugqF/4VS2TRDDl/nBuwj+kWlYNBYp8WJM4OoLJNBp5KUTt8kSNEIE4FIjm0hKqrW5kbUVKpgcbhLfsOM6UtBEETJQGtBBEOHLwxlUA70S4XWv6ds+tP7ZBqOg6KJ5vD5+CM5us6ZqNAXhtV5odnfgnZRgiBKBloL+Insl4WX1I/YU7bs+Bh9ZheFjvJQNLtsn8nJq7oTCgGrww2dskSl7gBRfClIwiaIEoPWAn6G+uWnP5iDQ8d6odfKePeUQ8d7UV2uIA1FBEWjmZBJGd4iLrWV6pJKWhWTkEp6ahktHgRRstBawA8HKKVi7D5wHD0DNt49ZZxehWf3H6VcFBEUjTDhdnuwumVqmOpuZXMjntx9uKSSVhEEQRDJEzB3vP3RKfzgmxeN2FP+55VPseqqKTg3YKdqoyEUjZmjXCOFQCDArddNg0wqQk+fDa+0nyi5pFUEQRBECgyZO+5ZNRuGQcdwIkQO2Nd+AgAgY8UYMDlxps8Go0SEukpFyWt3MqqZePjhh3H11VfjmmuuwVNPPQUAaG9vx5IlS7Bo0SJs3rw5PRcSACfOmPHYS4fQ029D9zkzxuiVKBvyWi5ZL2WCIAgicYbMQHqtLFi3Y8cbHQCAa+aNxx9ePjy015jg5QCbxzvKDxY/GdNMvPvuu/jHP/6BPXv2wOPx4Oqrr8bcuXOxYcMGPPPMMxgzZgzWrFmDAwcOoKmpKaVrmWxuPP/qZ2ieUx+WvWx1y1Qo5WJyLiIIgiASJjKj8MJL6vHawa4Re83a5TMw7QJtSe8zGdNMfO1rX8Of/vQniMVi9PX1wev1wmQyob6+HrW1tRCLxViyZAn279+f8rWMFhcun1kzInvZk7uPQKNgS/oBEwRBEEkyZPJ4cM1crF8xE+PHqnj3mq0vflLyIaMZ9ZlgGAZbtmzBf//3f2Px4sU4f/489Hp98P3Kykr09PQk9Js6nXLEay5OgM+6B3jDeCx2N/QT9CO+k2v0elWum5D35HMf8Y3DUFJpO5NiXpRUv59qv+fzc8sG2b7/WGOx1J9FgFT7QVfOwTDogIwVQygE717zwefnccEYDeZOGwOhMP+kikyPhYw7YK5fvx633HILbrvtNnR2dkIgGO5kjuPC/o6Hvj7LiOgMiRCYVF/Gm9VNxophMJhTu4k0o9er8q5N+UY+9FGsycc3DkO/l2zb9XoV3G5PUt8NkOr3U+n3fHhuuSRT95/MWCz1ZxEgXf0wVifHpyf6cMFYDe9e4/MBm5//ENVl+VfvKF19EGscZszMcfz4cRw9ehQAIJPJsGjRIhw8eBAGgyH4GYPBgMrKytQvxgFKGTMiNLS1uRFicdFEvxIEQRA5Qi0To6ZShd1vfTEiZPQH37wIb37QDafbi9N9tpI0d2RMM3Hq1Cls2bIFzz//PADgjTfeQGtrK37961+jq6sLNTU12Lt3L5YtW5aW6wkFAvh8HJYumAAfx0EoEEAuZSARkTBBEARBpAgH1OrluPrrF+K5Vz9Dy/wGCIXABWM0eOn//JEerc2T4HR5YTA5odewpVOtGhkUJpqamnDo0CFcd911EIlEWLRoEa655hqUl5dj3bp1cDqdaGpqwuLFi9NyPZfHA42SgUougd3lgUwihlDIweXxAMgvlRNBEARRgPiAi+q1uGfVbBitLnAAfr/rMNxeH5YtmIBBqxvn+m04P2BHbZUCU+q0JSNQZNRnYt26dVi3bl3Ya3PnzsWePXvSeyEBIBKJcLbXNqJqaLlGlt5rEQRBEKXLUA4KtYzBgM2Nplm1aBinxqnzFux661jY/lNdrkBZiRRQKwobgMnmht3h4a0aanem5oxGEARBEHzYHW5IGCHcHv6q1RZH6dTvKAphwmhxwe7y8IbrOF2UmSxtCACT3Y1ug5Vy0hNEsUDzOmmUcgnaDnaBA3+4qKOE9p+iqM2hVbHoOGnkDdcpV1PF0LQgAI52DwYzwbGMCOtXzKQyvARRyNC8Tgm1TIxVi6fg/FCF0cj9p0zFwuRww2B0gJWIoJAxKFMwRelHURSaCbVSjDKVBD/+1my0NjdixcJGjNHJ8cMbpqNcSXU50oHJ5g4uOIBf6t6y42Mqw0sQBQzN6xQZypA5e5Iety+bHhYuevuy6bDZ3Ljn0XbseKMDFpsHZ3ttONvvKJJjfDhFcUsDZjdcHh9O9pjh4/xhojdfMwVjK5RFKQHmAqPFxavGo4qsRChujy+lTHtOlwemQXsaW0TEguZ1GuAApUSM6Q1l+Pmtl6Lf5EC5WgqFVIwfb/kbpjWU4+qvX4iO7gH4OOB/9x/FyuZJmN5QBhSRFaQohAmvj8P5fvsIT9oKjQyQiHLdvKJAO1SBNVKNRxVZiVAYsRA/efhA0t//zZ2pFf0jEoPmdRrxApUqFpUqv2m922CFSsHgspk12PSn94N708rmRmxv+xxV5RejSlM8taOKwszhcHl5PWlLyfkl0wSq54Wq8davmOmvyEoQREFC8zpzaFUsFl5Sj8deOhS2N21v68DlM2swaHUVlTmpKDQTNoebV1Vnd1BYaNoYsg1uWjsPRqsLWoWESrsTRKFD8zpjqGVi1FYpefcmoRCQs2L0mZ2AQAC1TFzwfV4UwkSZSsqrqlMpGH+YU4E/pLwhJFlL4G+CIAocmteZgQPGVSh496YLxmhw4swgVHIJOA4wmgWoq1QUdN8XhZmDEQtx63XhRb5uvW4qTp4z54caKSKOO1q1SYIgCCK9+HxczvJoqGVi/PCGGWF70+qWqbA6XPjz377EE7sO49ipQfQOOmAtcLN8UWgmDEY79v+jE+tXzoTD5YVUIsLLB47h4klVufdK5onjvuvGWWgcpypoKZQgCCLvEQDvHD6Lzc9/mJs8GhygUTBYsXAiqnUKAMD5fhteaT+BXqMDAODjOPxh9xHcv/pSKDSFGzBQFMKETCJC9zkLfvPsB8HXWEaE2ZOrc+6VzBfHvfn5D7FpbZSa9wL/d4wWF7QqtihsaQRBEGknjrXSZHMHBQlgOI9G1PU3A2gULHa8/gVamhqw+8DxESYPcP52DVqdqNYUbpLFohAmpKwY319yEQbMzmD5cY2CgVYtzbkzUUJx3JSNjiAIYnTiXCvzIY9GIGLm2f1Hh8JC/ZGHY3RyfOeai3DqvBmtzZOg00iz0p5MURTChMvtgYQRhuWZWLt8OrSq3HslJxLHHS0bXdqk6ES0HqQhIQgiHnKwrsS7VuZFHo2hiJl7Vs1Gr9mJu268GBw4WGyeMPPLmAoFTBYnVAoJ9Bq24BJaFYUwIZWIseP1DrTMbwg612x77XP867dm5bZhGJZKI30m+DQmGZWiE9F68Hz2xzfNgl4rJeEiDlLNAkkQeU2EQGAYsOO3z8Xhk5BGzWu8a6VaJsZdN84a4TORdY31UMQMBALc8+jfsWLhROx4/Yvw3EivfYZVV03Bsc8NmFRXhooyKRRDZpBCoPCFCQEwaHGheU59UH0UyDJmsblRLs9xJjeeOO7xNWXo67OM+GgmpehEtB6Rn1UpGJwyWOJbMIiUskBSBkgir+ERCFqbG6FSMHAavQmtK6loXuNeKzlg7rQxqC7LjzwagcPlyfPmsLZXaKVonlOPLduH+3XN0mmoLJdhbLmsIMpCRBUmnnrqqZhf/N73vpf2xiSDyeYGIxYFBQlgOMvY/avn5Lh1Q0TEcQuF/LFJfFqMdEnR0ST5XpNzhLYh8rNXzK4bkWE0205MBEHkHj6BYFubXyu8442O4Gt82lSjNX2a10TWSqFQkD95NIYOl5VlMux6a9gZ84rZdSP2sCd2HcbSBRMwYFLgonpt3h/cogoTn3/+OV599VUsXrw4m+1JGKPFBbvLyztIrQ4PoMlRw5IhndnoIlSR5Rr+xF7HTg1iW9vnYdqGEVK/ALz9e7rPBnUtaScIolSIJhCE5m7g1RAIAIFAEJ82IR6/ikLO3MkBOpUkTBgSCvnXWB/H4ZEXPimIg1tUYWLjxo04e/YsLrvsMlxzzTXZbFNCaFUsHP38teQDiUIKinRko4tim/zxTbPCTBWtzY14pf0EgAhtg5wJH+hRFoGTPRaM08nzfpATBJEeFFKGdy0QCgTBf/NpCEw2Nx7feSgsmoFlRLjjhhnhn03Er6KQM3eGCEN9FidYsRgsEz1stNfkzPt1NmYGzJ/97Gf46KOPstWWpFDLxFDKxGhtbgzLMtba3AgpW4DCRBqIZpvUa6XYtHYeHlg9Bz/9wZywxCmBzxmtrrCB/sDqOZg3tQprl08P69+VzY14/b0u/+cJgigJnC4PVkastTddOQkzGivwwOo52LR2Hu/Gb7S4cLbPhn3tJ9AyvwErFjaiZX4DylSSEUIH39qVF5mM082QMDS+UglwPt419s0PusEyIsil4pxl8YyXmA6YDQ0NOHfuHNrb2zFv3rxstSlhOI5DZbkcSxdMCOaZqNBKISvR8uOxPJ3rKhRQyxiYHB6YreETlGVEKFexMNmHVYx1en+++PFj1MH+BQfsaz8Bs9Wd86RgBEFkD6VcgraDXcORcxyw/51OzGjQoUrlz/DIF8WhkDFobW6EjwPefL8bvUYHWEaEeVOrwj6aD3khsg4HjNXJoVGxuO/7X4PR7MRpgzW4xt581WSYrS78/MmP8toBftRojkWLFmHr1q34+c9/jhUrVmDZsmXQarVZaFp8mGxuPPjU+6irVuK6pglwuLyQScTQaVkoJIUTVpNO4vF05nNg+vFNs3DyvJVXxahkRaitVGbEOZQgAqQSVut0eWAatKe5RUQoapkYqxZPiX8d4DFbrGxuRNvBLqxaPGXE9/IiL0Qu4AAFI4JCJ4NAAIiEAtzYPBmDVifGj1PjP558N+8d4EcVJr75zW/im9/8Jo4fP46XXnoJy5cvx8UXX4ybb74Z06dPz0YbYxKQZL84ORiWTvvH35oNvZotyY0uLk9nHgcmALhna3vUQVuwDk9EwUBhtXlOgo6PfGaL7W0deHDNXOgiTBxAZiPaCgIfMLZMBiUrhtHqQpVOBsOAoyC0NXHlmfD5fOjq6kJnZye8Xi90Oh0eeOABLFiwAOvXr4/6vUceeQR/+ctfAABNTU24++670d7ejl/96ldwOp246qqrcNddd6V0A9Ek2VPnLagql0FX7BItH/FO+AgHpm6DNfagLWSHJ4Ig0kMC60A0s4XV4YZOybM2F3KURroIJLgC8I9/ngeAgtDWjFqCfPPmzWhqasKTTz6Jq6++Gq+99hruvfdePPvss/jf//3fqN9rb2/H3/72N+zatQsvv/wyPv30U+zduxcbNmzA1q1bsW/fPhw5cgQHDiR3Cgmglolx+zJ+58B+kzOl3y4YIkqcB2yZahnj95GQMzDZRnfeCQhmoeTjoCUIojBIak0JXbuGNlVe50O+da+IMFpc8HEcXn+va4TT6+qWi6LmK8oVo2om+vv78Yc//AGTJ08Oe10ul+M///M/o35Pr9fj3nvvhUTiHzQNDQ3o7OxEfX09amtrAQBLlizB/v370dSUgnqSA6rKZbzOgXJp4Sf4HJXRQqkSCLWKqWIE1eogCCIx+NaUO26YAbWCiS+rY7T1q16Do13FXRRRq2IhFAhgtrqDUTAQAEKBABabG/1mJ5Rs/uxxo7bkF7/4RdT3LrvssqjvTZw4Mfjvzs5O/OUvf8GqVaug1+uDr1dWVqKnpyfetgIAdDrliNdcHMAywmCWxkBoaIVWlrc1EqK1y+fjcLbXin6THeVqGcZUKGJKoKfPW3hDqR7+0QKMq1SO+n4kunIlGmq06DfbUa7yXx8A3jl8Niy//V03zsLcaWMyKh3n67MD+MdhKAyT/CRP5bvp+H6q/Z7L9ufDmMl2G2KNxXzojzKtAiqFBP880QefD3ju1c/wnWsuimv9iLZ+PbT26wmta6H9kOgamyt0Pg59JidWt0zFk7uPYMcbHUHN+2sHu3D/6rnQ62OvQ6FkeixkXKz54osvsGbNGtx9990QiUTo7OwMvsdxHASCxB5iX58FPl+46CkRAjV6ZVhoaI1eCVYIGAzmdNxGWtHrVfztSqIQzrlefj+Hc30WSATcqO/zIREA1WopAA59fRaY7O6gIBH4/ubnP0R1mT9cOBPaiqh9lEViTT6+cRj6Pbfbk/R1U/luOr6fSr+neu9Aau3PhzGTiTYkMxZzNociMliC4/DLp94NW4cC68doDoTR1i/DgC3udS2sH9JYbCwbjK9SoLJMinu/81V83jUAnw/BSBiJkIv7+aZrLMQahxkVJj744AOsX78eGzZswDXXXIN3330XBoMh+L7BYEBlZWXqF+KAhnEqaFUs+kwO6NRS6NSSgiiOEkoyhXBGC6VKR6hVNCeq0322sMI0+TwpCYLIAnyb9cqZSUcjRFu/dGr+8gCjrWvpLDaWFQIho3oFyhQSGK0uzJtaNWx6tueP6XlUB8xkOXv2LH74wx/it7/9bTAd94wZM3DixAl0dXXB6/Vi7969mD9/fuoXEwBHuwZx3xPvYOOf3sd9T7yDo12DBeeQEythSzQCNslQ55xQP4fR3o+HaE5UJ3sspZGpjiCIuODbrE/2WJJ27I62funUkqTWtWTW2LyAxyn1aPcg7tnajgf+eBD3PPp3HO3O7Z6XMc3EH//4RzidTmzcuDH4WmtrKzZu3Ih169bB6XSiqakpLYXECk7ajEI0KVwsFsHk8CRX8CYNoVZ8TlS3L5uOZ/cfDftcPsY+EwSRPfg269ff68Lty6bjsZcOJZ47Itr65UtuXSuWpFjR9rxo+TuyQcaEifvuuw/33Xcf73t79uxJ34UEwOk+fvtZoW1sfJt2a3Mj/t+2D2G2upMveJNqfgieCS0UCXnTcRfapCQIIn3wbdZmqxsXjlElf6CJtn4lsa5FW2MNRkdB5bOIpmH54PPzqK1U5cTcnD9xJUlisrlxfoC/amjBbWwhm3avyYljpwbDinHlVNsSOXEFKO1MdQRBjCBaeLlSKg5LxpSzNYIDaisVYakEXhlKJVBImuxoGhZGLMTJ8xawEhEqNNKs+lEUvDBhsbuD0mVoaOja5dMLc2MbmnBGiwvb2j4PeyvUtpcVpxtBjNwSlKmOIIhIkl0XYq016WLoGucG7CPWVgAFpcnmE9puunISGLEQO14/OtIpPgsUvDDBSsT4n1eOQqVgwpJ61OiVBb2xRZM8BQJBsH5GRiMoYiSLMVlDJr08hpoxGwsEQRD5QcR8D1QcjlYALPDZco0UJ3ssmQ3XDFnPWpoaCl+TPSS0PbhmLj74/Dx8Pn/+jP955Siv76B+lJ9LBwUvTFgdbjjdXjiNXux4oyP4+uR6LcoSiFjIN6Jljnt856GsOJpGc/DZ8N1L8NDT740+6QssnpsgiBRIZL5HfLa1eRJ2vXUso+ta6Hr25vvdWNnciO0hmuyCNNFygE4lQW2lKigk5TJSJWOhodlCqyzSehIh6sIHVs/BprXzUKaU4GyfLexjmRos0Rx8jnb2xxUOGk0YodBRgig+EpnvkZ/1cVzGN8HQ9azX6Aimp77321/FprXzCveQE7JPzJhQkdO9sOCFiXTkUchbImKLlXJJ1gZLtNwSvohEYNEmfcHGcxMEkTCJzHe+z2Z6XYtcz3qNDuz+63FUl8mCFZELlqF9YkyZNKd7YcGbOUrJETBmIa5k7jeGT0M0M8tzr34W9hPRJn2xxHMTBDE6icz3yM+++X73CAf6qOtakn5YaV8785Ec74WFL0wAqedRyFd4Jk7aBstoNk6+galgsGrxlLgmZElMXoIgACQ23yM/a7a6UaNXjr6upeKHlehGW6jO4zncC4tDmChGYkRTABgqL5587tS4soZGDsxEss6VkMaIIEqeROZ7jM/G2gRTznQcbaONFBzk4qIvb54JSJjIU/gmzrP7j+KmKyfjkRc+SXmQx7JxxpyYiUi++awxKtSTB0GMRiCfwjED5Kw4e2M7w2tD0mtWLHgObQFzbqGXZ8g2JEzkKXwT5/KZNUFBAkhtkJe0TwOFrRLFShGP7UysWXyHtkde+AQt8xvCUg0UYnmGbFPw0RzFCl80hVCI5CMkBP5ytd0Gq79omLyIo2BGgcJWiWKlmMd2wpF7Q2ve4WMGmBwe3oqa0bQdwoidsWQOWilAmok8hc+hacoF5clJ5jH8L+Jxeio2c0BG1KVEznF7fNDrVUl/3+nywDRoT2OLsk9Rj20OmFLvz/rYZ3JAp5ZCp5YAPp7PxqmhiabtCF1ryXk8PkiYyFeiRFMkEyExmuNSrHTYaVWZ5olgUtImniKGEQvxk4cPJP3939zZlMbW5Ia8HNvpmvcCxO0YGa+zZrQolFq9nJzHE6TwhQkGON/vhNHshELGQC4To0zFAIWv1UstmgIIK2yTzGklZe/piLbkiy2XwlaJYiXvxnYa530i69FoSbRGDbf35bHzeDphgJ4+J/pNDpRrpOB8PjCMCDplFI1PDApbmGCAw8cGsPXFQ8GBevuy6bDaJKipUhSHQBFJvF7QaShsk06VaVoFk1ShsNWopGoqIHJMyNi2ub2QM6Kcju10zvtE1qNECyWWhOAQCQN80tGPx3ceDvbH2uUzoJKJYLG5UV+tADzx/1xBCxO9RldQkAD8A+uxlw7hnpu/ikGLBxq2oG8vJdJR2CadKtO8s+Xmc9hqDiFTQREwNLYb6sphMJhzOrbTOe8TWY9yXSixEDjf7wwKEoC/P7a++Anu+fZXsb/9BObNqMG08dq4NRQFvdsOmJ28A7Xj5ACmsRUlLUxEK2xz4Ti1Px99HKeVdKpM89KWSxBERknnvE9oPeLR0Fjs7qiFEktRmDBaouyf3QO4+usX4qGn38ODa+b6TR5xUNC7rZQR8Q5Unw8YtLgwRiPNYetyS+QkDhS2CUrh8QgDaTQH5J0tlyCIjJPWeZ/oehSpoREI6EATglzKRN0/TTb/YbTP5IhbmCjoPBNyqRi3XT89LO54ZXMj3v74FMpUbI5bl1tSrqYayEtx3goIBKjTK1KrrsdTUr0YEukQBBGDdM/7iErKQHj+HL5cEgGKusJ0EsilYty+nH//VA9VqNap4z+QF7RmQqeVwGJz4e6bv4ovTg7A5wPaDnbhhoWNqNKxxemAGS+paBUyFXnBIThxjRYXIBAURd4KgiBiEG9NjETXgkTXKXK8DqNczcDhZHHPt7+Kju6Q/fMbjdj39y9x+7Lp0fN48FDQwgTcQP1YJQZMbkybUAGTxYVZky9GZXmJCxIBknQyzFjkRR6FhxIEkUPSsBYktU6R4/UwbmCsXo5BiwfTJ+phNDtw8aSLAYEPNyxsRHmC4aEFbeYAALiBMhmDMRopJo1To1JFgkSqjBajnSzFnOqXIIj4ScdakKl1qqRwAxpWjGo1i8njNKhSs6hSyVAuTzzPREaFCYvFgmuvvRanTp0CALS3t2PJkiVYtGgRNm/enMlLEynAVxckHY5KNPkJggDSsxZkap0ikiNjZo5PPvkE9913Hzo7OwEADocDGzZswDPPPIMxY8ZgzZo1OHDgAJqaKC4931DLxPjxTbNw/IwJPo6DUCBAw1h1yvZFCg8lCAJIz1owaqRIrkqxlygZEyZ27NiB+++/H3fffTcA4NChQ6ivr0dtbS0AYMmSJdi/fz8JE3mKy+PDrreOhU3SVKHwUIIggDStBbEcKsk/K+tkTJj45S9/Gfb3+fPnodfrg39XVlaip6cn4d/V6ZQpty2b+HwczvZa0W+yo1wtw5gKBQDkdcri0+ctvPbMh3+0AOMqU+t/XbkSDTVa9JvtKFf5+0Mo5I/nyuc+Gm0cMkzyUyuV75b691O9djrGXLbHbayxmNdzKIG1IBZ6ntcyuYZlGr49I5l+iSTTYyFr0Rw+nw8CwXCHcBwX9ne89PVZ4PMViGgZRTq+bOY49PVb8qKCJh/neq289sxzfRZIBKk3UiIAqtVSABz6+iwjPyAAXD4BzvVacto3sSZfrHGo16vgdieQ1D6CVL5b6t9P9doGgzml7+v1qpR/I9rvRiPaWMxUW1KCJxw05lqQJJlew9LOUL9Y7G4MWFx45IVP0qpRSddYiDUOsyZMVFdXw2AwBP82GAyorKzM1uVzQjSP5fHjNDhxehDP7j+Ky2fWQCgEplxQjlq9PGEP2kyQU98GUk8SRHGSxbldUP5ZQuCkwYajnf2orVIFBQmgsOqHZC00dMaMGThx4gS6urrg9Xqxd+9ezJ8/P1uXzwnRPJZ7+qx4dv9RNM+px+6/Hse2tg489PR7ONJpxNlBO46dM+O8xYmTfaNndcsEucwUR+GjBFGcZHNu52W2S8Fwtk6Lywuj3Y2zgw4c+nIADz39Hra1deBkj7lgI96ypplgWRYbN27EunXr4HQ60dTUhMWLF2fr8jkhmnQsZcW4fGZNsIon4B8wj77wCZYumIBtbZ+DZURYddVk7Pv7YaxaPCW7J/McZorLu+qiBEGkhazO7TwrxR6qlVEpGNxwRSNsDjec7mFHdwDwcSgcjUoEGRcm3nzzzeC/586diz179mT6knlDNI/lcrUUQiF4J5aP8492lYKB1e7BioWNEAgFONlrhUaRRf+BHGWKKyj1JEEQcZP1uZ1HpdhNNjee3X8ULfMbUD9GhV6jHU63D3qtDC1NDXjz/W70Gh148/1urGxuDB40CynirbDTaec7UU74unIFplxQzjuxwAEVWimunjc+bECtbG7Ee5+exYrmSXC6vShTsvD5fJCxTF45b6YKhY8SRHFScnN7yKxhMDogY8VobW7E1pcOo3VRIxRSBs+9+nnY+r6v/QR6jQ60HezCz34wB26Pt6Dqh5AwkWl4TvhCoQC1ejnuuGFGmNdua3MjXmk/gStm140wgWxv68BdN87Cxv95P/j525dNh4RxYVDKQMqKIJOIoWRFBTHwojIkgD38owU412cpqMlEEEQMSqXQlhAYtHnQ3WPG1hcPha3vKgWDyjI5tmz/eMT63jK/Abv/ehw3XTkZY8qlw874BdI/JEzkCh9wUb02OLEEAgHOGCwwW92AgN8E0nl2MGwAPvbSoeAAbG1uRF21ElapBCarCzKpGAqpGGUKJi8iRBKCA8ZVKodDuApkMhEEMQrFWGhLAFhdXthdXtidHjhdXshYcVCQAPzr9bYhgeFslLDV+jEqbPrhUNRGoa3ZIGEit4ROLCGglDH49+9dAoFAgN0HRppAfBEDzOn2BgWP1w52YWXzJPz6mQ/hdHsxRifHd665COf6bBinV0AI4PyQuk0lZwpfg0EQBJFNBIDF4YHJ7oHD6UGFRgq1QowzfQ4MWpwQi4R4eu+nONtnQ2tzI6/AAIE/uzCfiXtchRxqaeFqakiYyBd8QJmcQZmcAQQYYVv8wTcvwq63joV9JeBjAQCXz6zBYy/5JeEKrRTNc+qx+fkPh00iy6dDxojg8fnQ3WMCKxajYayqYAcuQRBE1hAAx8+YccpgwWsHu/DNyy+ElBXhxFkTHt95eITvQ7SoDKFAgNff60JrcyO2RTpZygpXkABImMhPImyLCikDm9ONFQsn4fGdh0YMXABh0SF8PhePveg3ibz98SncunQa3B4fTvfboVFISEtBEAQRA4vDA7eXw7ufnsUt102D1e6GyerGjtdH+ra1zG/gjcpY3TIVVeUyyFgRGmo02PTDef5MoEXiO0LCRL4SYVvUqSQoV0tx/+pLYbY5IWHE+P2uQ+g1OsAyIkysLRuWhKP4XMikIjTPqQ9z4rx16VTUVKpgtrqglDNwOD1QSBk4XR4o5ZKiihQhCIIYlZDU1iwrxqDFBZYRoVzLYtGl47HpT++POND1Gh0Ahk0ZgaiM9Stn4mSPGZPqy6BWSOByezCjQRcUHtTS4vEdIWGiUOAABSOCQiNCtYYFBMA9q2aj1+QEKxGBlQhw69Jp+P2uwwD4VWx8XsS/33UEK5sbIRIKwkKVbrpyEva/05n9hFkEQRC5Yii51LP7j2Lx3AvC1sS7b54d1AwD4ZqIHW90ABg2PbOMCK2LJkEhE+PSi6qGTRjF5HgaAQkThUqkV7QAkEkYPHDLpbA7PRi3fHpYWNLK5saoXsRlKjZo9wu89tyrn2PFwol4dv9R3Nl6MQZMTmhVLJRyMRQMmUUIgigihECfyQWX14uT5y1YddWUEQevL04aeddP4VBRCpYR4bZl06FVSvC1r8xFuUpScOGdqUDCRLEQ0FwwIgAsIFD4fS5sLnAc8Ptdh3H5xTW8GguNguWdJOVqKZZcfiE+7uiFWCQAB8BkdUKjYsH5fJBJiithFkEQJcZQhEbPgA0+TgCXxwsZK4JQKEBLUwMABLNTRnOqrKtS486VF2PA7EDDGBWU7NC2WoDhnalAwkSxEqq5YIBbl05H97lB/OCbF+GPez4NS6Ti4/hDlSo0Uhw7NRjMHR/QcDy9959YddVkaJQC9AzYUK6Sko8FUfC4Pb6YJZZHw+lKrfw5kQUiwjtZRgSzzQGXB3jspUNQKRhcM288/t/zH43wi3j7o1Mj1s/VLRehp9+K1w52YdXiKVBKS3f9I2GiFHAD9Xo5yhQMLA43/uPWS9FncmDA5IBKLsFpg3VEqFJrcyMgEARfA4ZthCsWTsT5fju2bP8kbMK1DU0o8rEgChFGLMRPHj6Q9Pd/c2dTGltDpJ2Q8M7QtW7t8unY3ub3jWiZ3cC75i1dMAESRoi2d7uwdMEE1FWroJIzkEvFMFtduGfV7KKIyEgFEiZKhQgfC72ahckmh8XpRnWFAoYBO5YumAAfx0EoEECnYWFzenjNH1qlFL9/+TCvI9KWHR9j09p5VOGTIIi8wmRz4/gZU1iVTqfbi61DYfM73uiIGglXWSbDc699BrPVjWsvk6O2UgGFxO87VlbETpWJQMJEqRIhXFQoJRhXIYdh0AlGLETXWRNEVneUEuoi3gkXmIi9Jqf/d4dUioM2N2wOD8rVLHShTkkEQRCZYsip8ti5M9AoJDBanPBxXEwnSoDfL0KnkWJ1yzRUl0mHIzNKXHiIhIQJws9QzLNa6hcCtHK/SSSyGNnK5kb0Gu1RK576hQ3xCJWiSsFg4SX1qKlUokavIN8KgiAyhxA42m3EyR5rUNvaUKOBUCDgXbsm1mjBMiK8+X73CJPv7cumo0wpQW3AH4LWLV5ImCBGEqK1GFsuD2bilLJimCxOnO2z4aYrJ40oodt20J8mVi0Th6kUVQpmREn19Stmolonh8Foh04jJY0FQRCpMZRsymhxQalg0Gt0hjmPf/eaKagfoxwhLNx05WT0DtrRMr8BQiHQUKPB/avnwOWOKAFOQkRMSJggYhNhDqnUsChTSWG2u3H/6jnoHXRALBSiZ8CKplm1qNEroZSK0X3eGlQptsxuGJHee8uOj7F0wQRsa/vcL1ysnIFxFQoYzS5oVSx0Ppq5BEGMQkCAGKq8/PjOQ0OFtiaN8I14+pWj2PC9r6KhRoM7V86E3enFoNUJfZkUNXoFzg84IGXFUMvE4VEZtBTFBQkTRGL4AJ1SAp1SAggApVQMk90DCSNEhZoNSvFaFRtUKUZzavJx/lmqUjAjokPWLp+O8WPUVDeEIAh+hrJVhhZEvOnKSfjz376M6hvRO+DE6+924jvXXgSj2Ym6KiV0ar9WVFmlHP4wrTkJIxz9IwQRBQ5QsmKM1UpxYZUyrOqdWiZGw1g1Wpsbh4WKEEIrnl4xu25EONbWFw+h/fA5HO0eBATZvCmCIAoBk80dFCSA4cy9V829AAB415xBqxPXXtaASjWLxrFq/6GIzKtpgYQJIjNwQMNYFWZP0mP6RB1uXzY9OLkDeSze/KDb/9kYmostOz6GyebOdusJgshzek3OqKHrAUfK0DXn9uXT8dVJesqDkyHIzEFkjiHNhZIVo1ojDTpyapUSnO61wmz1CwnRPKzB+RcHo9VFeSsIgghDxoqjhq6brW5IJSKsWDgRbo8PUy4oR61e7tdCkCCREUiYILJDhCOnuk6LB9fMRZ/JAb1WhtpKZZjtM5DClmVE0CokOW48QRD5hkrO8GbuLR86uAiFAvSbnajWKSERcmTOyDAkTBC5IdSRE0CZQoNNa+fhdJ8NJ3ss2Nd+AmarG+tXzCz5NLUEQYxEyYpQo1eGZe6t0StRpWaD64WSFUOvV8JgMOe2sSVAToSJP//5z3jsscfg8Xjwne98B9/61rdy0QwinwhoLmo1GKeTY/pEHeSMKHVBYih0rNfkhIwVQyVnKEKEIPKJoTlqsbvBSsSwOtzQKtnRE9sN+WXptVK/+TQ0JwSRdbIuTPT09GDz5s3YuXMnJBIJWltbMWfOHEyYMCHbTSHykSGhoqGu3H+aSFGQiAwda21uRI1eiYaxKlp0CCLXDM3RZ/cfRfOc+hGJ7UZ1lowwn9Kczh1Zj+Zob2/HpZdeCq1WC7lcjiuvvBL79+/PdjOIEoAvdGxbWweOnzFRhAhB5AGBOXr5zBrexHY0TwuHrGsmzp8/D71eH/y7srIShw4divv7Op1y9A8VAHq9KtdNyHtS7aNzxwxRQ05tbi8a6sqT/u3RxiHDJD+1UvluqX8/120Hsj+3Y43FfF9ngnM0Snh4qvM0QL73QzbIdB9kXZjw+XwQCIazEHEcF/b3aPT1WeAr8FTLer2KHIJGIR19JI8SOiYUCCBnRKP+fqzJF2sc6vUquN2e5BoNpPTdUv9+rtsOICNzO5mxWAjrTGCOAvzVOuOZp6NRCP2QadLVB7HGYdbNHNXV1TAYDMG/DQYDKisrs90MogRQy8RYv2LmiGRZDWPVfkctgiBySmCOvv3RKayMSDIVjOQiCoKsaybmzZuH//qv/0J/fz9kMhlee+01/OIXv8h2M4hSgAOm1PlDTntNTv4iPgRB5I6hOXrPqtmwONx4cM1cfzQHRWYUHFkXJqqqqnDXXXfh29/+NtxuN5YvX47p06dnuxlEqRDp7T30GkGkG7fHB0YsTNo27XR5YBq0p7lVBUDEHA3knqF5WljkJM/EkiVLsGTJklxcmiAIIiMwYiE2bP170n4Xv7mzKc0tIojsUXAZMIXC4ighWSz3kUnyuY/yuW1E4ZLMuIr1HRqnfqgfMt8HAo7jSJlEEARBEETSUAlygiAIgiBSgoQJgiAIgiBSgoQJgiAIgiBSgoQJgiAIgiBSgoQJgiAIgiBSouBCQ4uhNkdZmRwDA7ZcNyOvyYc+SrY2Rz60PVeU8r0Dmbv/ZMZiqT+LANQP6euDvKrNQQBisSjXTch7CrmPCrntqVLK9w7k1/3nU1tyCfVDdvqAhAmCIAiCIFKChAmCIAiCIFKi8IUJAWCyu9FtsMLk8ACUNZUgRkLzhCCIDFJwDphhCICj3YPYsuNjON1esIwIP7xhBqaO1wLeXDeOIPIEAXD05CC2bB+eJ+tXzsSUWg1VZiQIIi0UtGbCZHcHBQkAcLq9ePSFT3C2z1Hgd0YQ6cPkcAcFCcA/T7Zs/xgmhzvHLSMIolgoaM1E76ATddVKfOvKyRCLRBi0OiERC+HxejFo80AjLejbI4i0YDA6UFetxA3faITb44NGycLr9cJodkGtZACSKQiCSJGC3m21ahY3NjfC6wM+6+qFjwPe/ugUbljYCLWSzXXzCCIv0CpZXHnpBXjqz5/i8pk1EArNmFhbBqGAw6DFAw1b0MsAQWQctUYGVhL/PHG6PDAN2jPYovyjoFcRr4/DoNWDx3ceCtqCVzY34oXXO7Bu5cW0SBIEALeHw0tvfoHmOfXY3tYRnCu3XT8dcrkEILmbIGLCSsT4ycMH4v78b+5symBr8pOC9ixwOIcFCcBvC97e1oHLZ9bAaHbkuHUEkR8MWp24fGZNUJAA/HPl8Z2H4HB6ctw6giCKgcIWJlze4OIYwOn2QigEylTSHLWKIPKLCo0UQiF454rTRWFPBEGkTkELEzoNC5YJTxPKMiI01pVBoSATB0EAgE4lwaS6Mt65UqYiGwdBEKlT0MJEuUKC25dNDy6SLCPC2uUzoFaIoJRSPnaCAAD4gPqxCqxdPiNsrty+fDp0WkmOG0cQRDFQ2Md3HzD9wjI8eNtc9BodUCslYCUilKsp3I0gwnAD0yZo8cAtl2LA7ECZSooqHUvzhCCItJBRYeKRRx7BX/7yFwBAU1MT7r77brS3t+NXv/oVnE4nrrrqKtx1112pXcQH6BQS6BQhJyxaIAliJG6gSs2iSs0G/yYIgkgHGTNztLe3429/+xt27dqFl19+GZ9++in27t2LDRs2YOvWrdi3bx+OHDmCAwfiD7chCIIgCCL/yJgwodfrce+990IikYBhGDQ0NKCzsxP19fWora2FWCzGkiVLsH///kw1gSAIgiCILJAxM8fEiROD/+7s7MRf/vIXrFq1Cnq9Pvh6ZWUlenp6EvpdnU6ZtjbmEr1elesm5D353EejjcN8bnumKeV7B7J//7HGYqk/iwDp6AeGSWy7zLe+z3R7Mu6A+cUXX2DNmjW4++67IRKJ0NnZGXyP4zgIBInVQu7rs8DnK+xSh3q9CgaDOdfNyGvyoY9iTb5Y4zAf2p4rSvnegczdfzJjsdSfRYB09INer4LbnViCt3zq+3SNhVjjMKOhoR988AG++93v4l//9V+xdOlSVFdXw2AwBN83GAyorKxM/UICfwXRboMVJocHSEw+IQgiFjS/CIIYhYxpJs6ePYsf/vCH2Lx5M+bOnQsAmDFjBk6cOIGuri7U1NRg7969WLZsWWoXEgBHuweDpchZRoT1K2ZiSp0GKGwFBkHkHppfBEHEQcaEiT/+8Y9wOp3YuHFj8LXW1lZs3LgR69atg9PpRFNTExYvXpzSdUw2d3ChA/wpgrfs+Bib1s6DWsak9NsEUerQ/CIIIh4yJkzcd999uO+++3jf27NnT9quY7S4eGsOGK0uWuwIIkWiza9esxNqOUPaCYIgABR6BkwAWpW/PodKweCK2XWAABAKBCinmgMEkTKB+RUqUIzRyeFy+XD05CDGVSiglolJqCCIEqfghQmhAPjuNVPgcHmxbajEMsuIME6vwEX1WlrkCCIF1DIx1q+YGTR1jNHJcf2/TMTD2z8iHwqCIIIUdKEvAOg3OWFzeoKCBOBXwz7ywicw2ShfMEGkBAdMqdPgpz+YgxULG7Hqqil4cveRET4UNNcIorQpeGFCq2Lh9vii+k0QBJEiHKCUirH7wHF0nTPTXCMIYgQFL0yoZWJMuaA8WFo5AMuIoFVQeWWCSAcBc4dQIKC5RhDECApemAAH1OrluOOGGcFFLmDHVcspmoMg0sKQuWPe1Crcvmw6zTWCIMIoeAdMAAAH1Fcrcd/3vwabw4MyFYsKjQTwjv5VgiDihAOUrBjTx5dh09p5MFpd0CokwyGiAuCMwQKD0QGv1ws5y8DqcEOrZCnigyCKnMIXJngy9LU2N6KyXIYpdVrAl+sGEkSRwQFqGTOcx2VIkDh+xoxTBgteO9iF5jn12B4SXUURH0Qp4fb4Eiqs5XR5YBq0Z7BFmafghQm+DH3b2jqwdMEEVGrl0CnJlksQmcZkc+P4GRN2vXUMLfMbgoIEQFkzidKDEQvxk4cPxP3539zZlMHWZIeC95mIlqHPx3HoNTly1CqCKC2MFhd8HOefiwJQxAdBlBgFr5ngy9DHMiIIBQJoFJQFkyCygVbFhkV68M1JivggiOyj1sgAxC4fHkqyJpeCFybUMjHuWDEDz+3/DJfPrIFQCIwfqwE4H1TyPLg9gV8FbLS4oFUNOaIRRDrgG1s58klQy8QYP0aF1uZGvHawCyubG8N8Jn5048WwubzoNTlRoZGSQyZBZAlWIsaGrX+H2+2J6/PJmlwKf2fjgIsu1KJ10SRsffFQcPG6fdl0KKSi3EZ0RCnfrCtX5rBRRFGQb6XBOWBijRpKhQRV5XL4fBzuunEWAA5KOYPOMyb87vnhFNx33DADF12gJQdpgigSCl+YEADdZ23Y9trnaJnfAAj8L29v+xzj9LOgy6FqNVr55oYaLSTC/DlVEoVHXpYG9wFTL6zAiVMDwbBRAPjwi15sb+uASsGgZbZ/jp42WFGmZjG2TEbjniCKgIIXJkw2N7rODY4IRVvZ3AizzZ1TYSKac2ifyQ6jyYln9x8NmmamXFCOWr2cTmrE6AiAs/32qE6OuYyYEAoFYWGj3QYrNAoWKgWDq+eND5ujlWXToFFKoBCLRvlVgiDynaKI5qgqV4wIRdve1gEZm1tZKeAcGgrLiCCViPHs/qNonlOP3X89jm1tHXjo6ffwaacxqFkhiGhYHB4IhYWR1lqrYiGTirDwkvoRc/SJXYdhGHAAJEsQRMFT8MKEVsXC4fLyntIs9txWMgzUM4hMPezxenH5zJoRi+sjL3yCPrML3QYrTA4PCRbESASAxeHF03s/xcrmxrCxtXb59LxLa62WiaFWSDBOr+Cdox3dAzhvdOaodQRBpIuCN3OoZWKURQkPlTA5lpWG6hlEph52+QQQCvlj8T/4/Dy2tXVgjE6O266fDo7jKB0x4UcInDTY0DfowOUX1+Cdw2eG/YQ4QKuU5N8Y4YCx5X6/CL45WlulCuamyLu2EwQRNwUvTIADVAoGt7RMxR92HwnaY29pmQpFPmTb40k9PKZCEax0Grm4+nxAhVaK5jn1eOjp9/LDU5/IPQLg004jHnnhkzC/oH3tJ9BrdIBlRJg3dV6uW8mPD9CoJFi7fHpYxFVrcyOe2vspzFY31i6fAYVUDIWMgVIuhoIR0VgnMoZaIwMrKfztL58oit4UCoCX/u+LsFPaS//3Be759uxcN40XoVAQrHTKtzlcMbuO0hETYZhs7uBYAYb9glrmN2D3X48PV+7M0w1YwYigU7G4++avYtDixPkBO14ZEoQAYOuLnwTv5ZaWqajQSFFXqcjb+yEKG1YiLrl015mmKISJ8wMOnO2zYccbHSNeV1fn6ebrAy6q12LT2nnoMTrg9XJ45i//9C+uMdIRkzBRmkSLDKrWyfHALZeiSsPm98bLAWN1clhdXnh8Pmzb8XHY2063F1XlcrQ0NaB30AGtkoXJ5qbxThAFQsE7YAKAXCrm9WyXSfN8IRoygYiEAvz33iNonlMf5lAXCsuIIGXFONNvI+fMUkMAKOQM75iQSxnYnZ78FiQCcH4NRZVWxnsvBqMdO17vwK63jsFkc6HP7KSxThAFQlEIE2KxELe0XITW5klYsbARrc2TcEvLRbl3wIyTCo0UZqsb+9pPoGV+A2SsCKtbpoYJFiubG/Hwto/QcWoQm555H0e7B2mRLQWGSnsfO2kcMSZ+8M2LsPvAF3kXwTEaapkYty+bHnYvrc2NeP29LgBAXbUSChkDt9cHk82NXosLVo+XxjtB5DFFYebg4INIJMSut44F/Q9uu34a3C4PkI8e7hEEQki37PgYO97oAMuI8P0lX8FdN85C59lB+HwIOtoF7OTkQ1EahJb2rqtWho2JXW8dw+K54yERF4bQHIQDLhyrxtIFEyAWCdBQo8GjL36CXqMDE2s1WHzpBfjdcx+GOWpWlsugkUswVifP+/lMEKVIRlchi8WCa6+9FqdOnQIA/Nu//RsWLVqElpYWtLS0oK2tLT0X8gnx+M7DYc5pj+88DIFACJMtt7km4iIkhPTeb38VLfMb8MKbX+DLM4PY1taBHW90BB3VnG4vxlTIcefKmaQGLgGMFhfEIgGcbi++ODmIJ/cchs8HQACsumoK/vy34+g3F16eBiUrQm2lEi+88QWcLi/MVv88va5pAn7/8pGwubytrQMne6zgBAJYHPEVKyIIIrtkTDPxySef4L777kNnZ2fwtSNHjuDZZ59FZWVlWq/Vb3LwOqcNmB1we5jCOL0P+U9AIMDmoYJIQHhsfoVWioWX1MPnA7p7LFArGDy5+whWLZ5CYaNFSrlGiolCoLV5Enyc/wG/+X43zFY3ViycCLPVnXdZL+MiRIDuNTmDVUYdTv4EdD6Ow6DFBbFYCGWOM9sSBDGSjGkmduzYgfvvvz8oONjtdpw5cwYbNmzAkiVLsGXLFvh86SlEUa6R8jp0qeSSgltoQ7Nmvvl+N1qHshxWaKW4Zt547HrrGP7rhY+x661jYMQifOvKyTh53kIntmKF49A76MCut45hx+sd2H3gOJZc1oDvXjMFYpFwOCS0EBkSoCs0UrQd7ELL/AZUlPHPZaFAAKFAAI+HitcQRD6SMRH/l7/8Zdjfvb29uPTSS3H//fdDpVJhzZo1ePHFF7FixYqEflenG1m+2+RyY83SaXhi1+GgnXXN0mkQCDiMrymDUJh/dgC9XhX1PV25Eg01WvSb7dCpZZgzdQx6jXb88ql3w9S/T+4+EozNH1Mhx5QLylFVrsjL+02GWH2Ua/jGYSjpavv5L3vx+13hav/nXv0Mq66ajLoqFWZNrsq7553ovet8HL5zzUXY/PyH+KijB7deNzVo6gj4TOjLZNh14AvcuGhyXo8LIPvjNtZYzPe+yhZ8/cAwiW1/mf58pp9VIu1Jpi1Z0xfW1tbi0UcfDf5988034+WXX05YmOjrs8Dni9Dn+wSw2Bx44JZLMWB2QKuSQiTkIGcZ9PVZ0tH8tKLXq2AwmGN+RiIAqtVSABwYIeBy86t/Azkptr54CHff/FV0nTVBr5UVfPrtePooG22IBu84DPleWtouAoxmJ+9zV0gZlCkleTe+k733xnGqoMlDq5Lg57deCqPFBTkrBufz4dlXP4PF5oZGIcEnXxjgcHpQoZHm3TjP1LhNZizmwxzKB/j6Qa9Xwe1OTJub6c9n6lkFxk4i7YnWlljjMGvCxOeff47Ozk5ceeWVAACO4yAWp+fyarkYOq0cZ3stkEoYnDVYIZOKYZd4oSiSLHoVQ6acyPTbgXtzur0412dBXbUap3utMMkZaJUslCylJS5IBEDPgAMKGcP73HUaaV5nvEyYyLTzAqDP6MAvn/Nr48bo5Pj+kq/AYHTgtMGMMToFPjlmwAVjNKjVywGyfhBETsmaMMFxHB566CFceumlkMvl2L59O5YuXZqW3zZZ3bDY3BCJhHh4+0fD9TmumwqdVurP81/ghIaPRqbfBoAxOjkUMgke/O93w9TDNXolGsaqimfTKRGsLi/6Bh3w+Ti0Njdi21B6dZYR4aYrJ6OsAEKeUyKiSJ5KLsGXZ0x4MqT+zsrmRjy+8xBuvHIypl6gJYGCIHJI1oSJyZMn49Zbb8WNN94Ij8eDRYsW4dprr03LbxstLozVK4MbKeA/qf/h5SN44JZLi0KYiFxcAQGe2HUoWORp9Ten4tfPfjAipG7pggnQa6WFEdFCBDHbPDh13opdbx2DSsEE684IBQI0jFNDKc0v9X5GCNFWnB6wBwUJILw2yaMvfIIN370EtRWUg4IgckXGhYk333wz+O9vfetb+Na3vpX2a2hVLM70WfnrWZidqFKzab9mTghVBQuB266fjqOd/fD5ALPdHXb/FVoprphdB71WBqvTW1wq8RJg0OIEKxEOF6+DPyS01+jAA6vnlNyztDk8MX2G+gYdkLNi6FRFrrEhiDylKAK21TIxbCqW17asURZWaGjc+IDaCjk0cgZ9Zifk0mHbeoVWiqvnjQ9WHmUZEe64YQbUCgZikQgqOUO+FPmMENBppXC4PNj22uEwtX7bwa6CC3dOB+Vq/vkNzv//c302PLHrMNavmEk5VwgiBxSFMBFYUH5040x4fQLYnR7IpGKIBBxYSRGYOKIRqqkQAbddPw2P7zzMW8L8kReGSzy3NjeiSidHjV5JQkW+IQI+OdaPnn57MD08MKzWv/c7Xy1JLZNOJcHa5dOx9cVDI4Sr71wzBRzHYf3KmXC6vOizuKArdp8SgsgzikOYAOD1eWF3+fDYS8OLza3XTYVa6QFKwV/AC0yo1eBHN82Cx+uLqRIO+FJ0n7OgtlJJJ7l8QQCc63fg8Z2H0dLUwJ8J0seV5rPyAdMuLMO/fecSdJ0zYfxYDUxWJxbNqYdIKIDN4cWW7cPOyWuXz0BDjQpyMQnLBJENCqxCUBQEgNU+LEgA/oX39y8fgVBQHLcYDwpGBI/Hh5M9Ft4sguD8vhQt8xug18pQV63Es/uPFkb9khLAZHOj3+SESsGgvlqF1uZGrFjYiAqtFMBQSKiqSPx/ksEL1OnlmNGgg1DAQa+Vwen2YcDsCka7AIG8K5+gp8+B7vNWql1DEFmgKDQTJpsbn3f1857k+s1O6EtlAR6K+KitVKBaJw/T0qxsbsQ7h8+M8KW47fppsLu9EIqEZPLIMRa7G/oyf9r00FN2QJ1/45WTS9LEEUaoaU8A1FYp0XXOzDv3vzg5gLoqNUw2N0UzEUSGKQphwmhxwceB10FLXWrOahygZMWYPr4Mm9bOQ8+gA+CAp/d+istn1ozwpXh852HcufJi9PTboVNLMa5CRvH6uUAAuDw+iBnRiFP29rYO3L/6UjhcntIWJCLhgHEViqAmLnLu+3yA3eXBuQE7IBDkXbZMgigmisIGoFWxePujU1g5VBQL8C8mty+bDlmpVhgcOsHp1Cz6B+1onlOP2iol7wmuu8eEZ/cfxacn+nG0e5DKmucAi8MDi92Ns7023md0fsAGRlwU0zWtqGVi1FUrsbplatjcX9nciLc/PoUyFQuxUIAPOww4epLGNkFkiqLYadUyMW68cjKef/UztMxvgFAIXDBGA4fTjfP9NmjHqUv2RFKukkCllGCwxwqRSMB7gmPEQly/YAJMVje6zplxsseC8WNUmFijJi1FlrC6vLDa3dCo+NOma5QSaAq1Omgm4YAavRJfnDLinm9/FR3dA/D5gLaDXVg0px7Pv/YZ5k0bG2bao/BRgkg/xXHUGXIsbJpVCwgAnw94cs9hPLbzMDrPmkvbwdALfOUCLaY26ODzcbh9+fQRJzg5K4bT5Q2Wud711jGc6bXiTJ8NFpeXTnJZgOM4OFxePLPvn7waNikr8me9JEagZEWQMmK88PrnuGCMGheOU6NpVi1eaT+BixurRpiNtuz4uLTXBILIAEWzOlntbmxr+3zE6z6Og9HqKkwHLIHfudRocUGrYpO3+XqAsWVSKFkR7G4P/v17l6B/0IkyDYvHXzqEVVdNwdNDDn/AcPjonStn4siXAxQ+mmkEgMfDBTe9fe0nghq2qQ0VgIBDlUaaWS1RusZaLhhyPB533TSc7rPB6fIOrwVD4dChON1e9Jmd5MxKEGmkaIQJhZS/uqJQIIBCWpiCxNHuwbDCXimpZyO84LUKCXpNTjTPqYfTxV/enAOgUTI4ed4CViLKy5LPxYDF4QEHDi1NDQD8abN3vNEBALizXO53Is6wIJHWsZYLAuO7VoM+sytsLeBbF5wuH452DxbWPRJEHlMcZg4AShmD25eFq/BvunIy1AoGNmfhqTRNNndwcQfSrJ4divgoV7FoO9gVLHMdCsuIhupDiLHrrWN48Kl3cc+jf8fR7kEye6QTAfDlOTMeeuo97Hi9A7sPHMfV88ajQuv3nRgwOzOeWyKjYy3bcP5smetXzATLiPDm+91ojTAb/eCbF8Hn8+HkeQssDk+OG0wQxUHRaCaUUhEkEiGWLpgAH8dBKBBAq2Sw/51OfOuqr+S6eQljtLj4C5el0WSjlomxavEUPL33U9x05SQ89+rnIWWuJ8Hr4/DEzsMjNpmf33opKjUsOWemAZPNjcdeDE+2tn0oQ6mMFaOyXJpxdXw2xlpWCamwe87oQE+fFSsWTgTHATWVKvzPK5/ibJ8NLCNCtU6O6ePLSDtBEClSNMKEyerGw89/PEKd+ZNvzfar5gsMbZTCZWkt8jS06N6zajaMNhf+/XuXoKPbCJfbhz//7Uvc2DyZd5P5uMOAynI5JtZq/OXdaSFOmj6zk7ePx49V44zBAjmbebNSVsZatgmYPRQM3CG1aTY//2GY4PbYS4fw0x/MgVIqJhMeQaRA0Zg5op2uHG4vlAUoTKhl4qCqFkDQjq1WMDDZ3eg2WNMTMz+06NbpFfB6ObzwxhfY8UYHeo0OyKQiXvOHzwc8sfMw+k1OHD9jJrNHsggAGSvm7WOpxJ+8SiPP/Iaulonx45tmobV5ElYsbERr8yT8+KZZfo1IoeMDLqrXYtPaeagfo+JdIw4d6yUTHkGkSOHtslGIdro6dd6Cmgp54alrQ1S1RqsLWoUEagWDo10ZcpTzAfXVCvzwhhl49IVP4HR7YRiwo7W5MRhlEAgl3dd+Ak63F0dP9INlRKgql0FZqsnBUsDi8MDm9GBlc2NYHoSVzY0w21z+svFZijhweXzBKqWBcVU0DAnMqFBELWMeMOFtWjuv8NYKgsgDikYzoZaJRzhgrmxuxOvvdcFodeW4dUkS0BpUKKCWMTBZM+wo5wWmDp3iHlg9B431ZZBLxbhz5cVobW5Ey/wG7Gs/gV6jI6ih2NbWAZOdnNiSwWT34GSPGW0Hu9AyvwErFvr7uO1gFzRKFmWq7JTRLioHzBjwaftWNjfizQ+6Afjv+9yAnbJkEkQSFM9xkgMuHKsOOmCCA/a1n4DZ6i5c229E7L/RmgVHuZAQUpPDg5cPHMe1l41HZZkcT+w6PEJDoVIw4DgO3QZr4eUnyCUCf6IqAFh2xUT84eUjIcXXpuO5/Uex5rppWWlK3A6YhZyLAgjT9vWanTh2cjAoHAN+4eLL0yZsfv6jwguNJYgcM6ow4fF4IBaHf2xwcBAajSZjjUoajgPLCMPU8q3NjRAKC+iYEViwrS4IBAI8vvNQ0PN8w3cvyaqjXCDaY8uOj1FXrcS/f+9r+OeJPvh8wDuHz+CquRdAr5XBbHOjp98KZ7cPDWPVaBirokU4FkN5Hfb+7TiuvbwBLrcX96+egzMGC3oHnfD6vLhy7vismTjicsDkyUXx45tmQa+VhgsX+U5AWJYzcDq9MFv92pdIEx6ZPAgiMaLO/iNHjmDdunXo7e3FN77xDTz44INQKpUAgO9+97vYtWtX1hoZLyarCxJGiHtu/irsLg/EIiFefLMD48eqC8Omz7NgBxa4XqMDj+88hDtumIFHhnwagk6Z0TadVE+SEX4bCqkYShmDV/5+As1z6kfY+Q98eBIsU08+FKNgsrmx92/HccUl9WGlxm9dOg0XjlHibL8dF0/Upl+QiDIeAur/SF+c0HEVaQpRKRicMljw2+c+DPuOrlyZ5kZniNDw0QE7vjxtCtNS1FUrYXP5cG7ABJ1GCp0qw4nDCKLAibri//KXv8QDDzyAqVOn4le/+hVWr16NP/3pT5BIJEH1bF4hAKwOD1xuHzY9835IvoTJKM9w0p90wWe73t7WgZb5DdjxRgfO9tlQppLgwTVz0WdyQKeWQqeOssilK6thRObMqjI5br7qK3h4+0e87dzW1oGJdWUkTMTAaHHh2ssbgoIE4O/D3+86jH//3tdQoYG/Dkc6p9ko42GEs29AkBgSQM4N2MM0F1fMruOtedFQo4WkUBSBAcdMgQCbnx8ezxNrNbhyzgX4+ZP/CDE9TcOMhnISKAgiClEdMB0OB5qamqDT6fDb3/4WlZWV+Ld/+7dsti0hTDY3Tpw1j1jgnnv1M/h8ORZ+BAgL54zWnmi264AzGMuI4PUB9z3xDjb+6X3c98Q7ONrFH86WEac6DmgYq4KEEUZtp9PthcNJDpmx0KrYqCnMLXZXRmz1o46HCGffgCBxtHsQ92xtx5dnTOEhrFFqXvSb7Yk1LGJu5MLxMdIxc2nTRPxh95Gwvnp852GcH3SSYyZBRCHq8dHn86Gvrw86nQ4AsGnTJrS2tuLRRx+FQJB/M8poccHHcfmXyY/nRHjXjbPQOG6kX0E02zU4///vuGEGHt95aMSGwGfbzVhWQw6o0PCXyQ60s0LNBu+9oB32MoRaLkZVuZy3D8vV0oz0UTLjIVQAefP97rAQVqGAv5x9uUqGuG8gX2qCRGhm7E5+Qe+MwYo+o4McMwmCh6iaie9///u47rrr8Ne//hUAIJPJ8Nhjj2Hnzp3o6OjIWgPjRatigwtcKCwjymmhL74T4ebnP+TVEPCFrt1xwwxMn1COTWvnoUwpwdk+W9h3AhtCJAHBJJR0OWtGC7F7++NTw7b2kFPtA388SEmBAgiAo12D+L/3u7Bm6bSwPlyzdBoqtZkxySUzHkIFkF6jI1jN9N5vfxXzplbxJlUbU6GIu015FZIaopkJ1EUJhWVEYCWiogyZJYh0EFUz0dLSgmnTpuF3v/sdxGIx5s2bh7Fjx2L37t147rnn4vpxi8WC1tZWPP7446ipqUF7ezt+9atfwel04qqrrsJdd92VthtRy8Soq1aOSLJ005WT4HR7AOQmPDShE2Es2zUARDkN8m0IkU51Y3Ry3Hb9dL/gIRCMriWIpVUIaWef2QkZy8Dt8WDWqtnB9prs/o1CpWDQMrsBMqkIAoEAJ3os0KlLt/qo1eWFQCDAlPF6VGhZ3Pf9r2HQ4oROI0NVGQt4R/+NEcShAUpmPERqynqNDuz+63FsWjsPSlbMO1YTiZzK15ogOpUEt10/DY/vHA6FXt0yFS8f8Cf16qXy5QQxgphechdeeCEWLVqErVu34uc//zlWrFiBZcuW4dZbbx31hz/55BPcd9996OzsBOD3wdiwYQOeeeYZjBkzBmvWrMGBAwfQ1NSUlhsBB9TolTAM2LF+5Uw4nF4YLQ7sf6cT96yanZ5rJEHCdQ9CHR6H/g4Qj9d96O8EFnuLw40BswsPPf1efOrkeNTPke0EG9Zeo8UFlYLB1fPGo+1gF5rn1AedNgO/V1upQL/JWTomEBHwxYnBYPG0wCb12sFOfOvKyYA3Ca1EvKaCJMbDqOMtxliNh7ytCeIDZjSU4+e3XoozBitYiQgvHziGL04OgmVEOHZyEE6nl8wdBBHCqBkwv/nNb+LZZ5/F1q1b0dfXh+XLl+MnP/kJDh06FPN7O3bswP3334/KykoAwKFDh1BfX4/a2lqIxWIsWbIE+/fvT89dBOD8XmNbtn+M/3rhY+x4/Qssnjs+p3km+EwCd92YZN2DkA3hgdVzsGntvNgL2tBir5QywXBSYHR1cjrUz1oVi4WX+MNHL59ZE7S1h/5e+5Ge0jGBCICzfY4RVVif3H0ES5smJm2KS+hZJToeEh1vCRK1/kw+1ATxAZVqv7CzZfvHQUFiZXMjPvjsHE6et+DLcxbKlkkQQ8QVv+fz+dDV1YXOzk54vV7odDo88MADWLBgAdavX8/7nV/+8pdhf58/fx56vT74d2VlJXp6ehJusE4XPY7dcKIXSrk//bPd6YFMKobd6Ybd48X4mrKEr5UudOVKNNRo0W+2o1wlw5gKRUoCjn70j4Rx7piBV51sc3vRUFee8uf50Pk4nDJYw6I8In/PNxRiHNjMHv7RAoyrHH6+er0qrmvlgljjEBjZ9tPnLejpt0XtB5+AS+p+k3lWiX4n0fGWyH2ke26kG125EuUaKT7qMACcP1nb3Gljsb2tAyoFg4WX1KOuWoXxY9QYq/ePiWyP21hjMZ/nUDpxe3xgxNHPxnz9wDCJha9n+vOZflaJtCeZtoz665s3b8bOnTtRW1uLm266CQ8//DAYhoHNZsO//Mu/RBUmIvH5fGFRIBzHJRUV0tdniRpaKRYKYbK48Pu24dTErc2NEFcLYTCYE75WOpEIgGq1FAAHoVCQ1fbIhypTRqqT5YyItx2Jfj4aVeWysFNn5O/VV6uwYmEjAODN97txrs8CicD/bPV6Vc6fWawJFWsc8rX9XK8VChnD2w9ikRCsMLkxmsyzStfz5SOZ5xY6N/r6LCldPxPIJCLsPnAcTrcXK77RGBQkrp43Pixx2/oVM3HZzHEZuYdkxmI+zKFsoder8JOHD/C+xzBiuN3h4eq/ubNpxGujkenPZ+pZBcZOIu2J1pZY43BUM0d/fz/+8Ic/4LnnnsO1114LhvGrIOVyOf7zP/8z7sZVV1fDYDCENNYQNIGkC7vLOyLPxLa2DthdyXi1FQ+JqpPTpX4OOLK9/dEprGxuDPu9W1qm4tm/HMWO1zuw+8BxXDNvfMEkF0uGco0URrMTrRH9cNv10yBlhEmr9pN5VnltXshDwvprSMt2xew6XtPd2V5rjltLELlhVM3EL37xi6jvXXbZZXFfaMaMGThx4gS6urpQU1ODvXv3YtmyZXF/Px4cTg+v+rbkkyiNFiXC9/l6TXyZNmMx5MhWo58Fk82Fn996KRxODxRSBr97/sNgmKvT7cVrB7sw9UId+k3+gmG6XCcaSzcchwGzE2KRAHeunImeARucLh/qq1XQphIZEO3Zwh9RM1o0TlzjodQJ6S+r04vdB47HTNrl17IQRGmRtZzHLMti48aNWLduHZxOJ5qamrB48eK0XiNaMqVgEqVSJhHP+6FcCGlJJuQDdEoJdMohD30Vi26DNSxfRoVWiuY59bjviXeC11u7fDrGj1FDyYoKf5MTAifOmbHrrWPB+1vZ3IjX3+vC5HottKmGQY6IrEkiGqfQ+zjThBQIW79iJk6et6SetIsgiohRzRyp8uabb6KmpgYAMHfuXOzZswevvvoqNmzYkPZMmkWhvk0mvXCaUxJnOplQZAIlPpXx1hcPof3wucKP8hAAJw02bH0xPHPp9rYOLLykPiNhkFlPBhUy/k6ft+RkzGaNIS3FvKlVuH3Z9JSSdhFEMVFc1ZgKXX2bTHrhDKQkznQyocj8BUJh9GiPQi8FbbK5cbSzn/f+aquUGRmfWU0GlSdjNqtwgJIVY/r4spSSdhFEMZFxzUTW4StYVCAkc6LMxCk0k6m4AYzIXzB7UiXv9cBFTxdeKPhrxoD3/sbp5BkZnxl/fiHky5jNCQW81hBEuik+YaKAiXWiTOd3gkRRNYeaiyq0UrQ2T8L6lTMBgSB96uiQhVinkvDW+njzg+78yIiYAloVyxvNcscNMzJmfhvV3BfNxJCE6SHrY5YgiLykuMwcBU4y6YWTTkk8iqp5Sp0Gv7nj6/jyrBmPvXQos+roEE3F6T4bTvZYsK/9BMxWd/R04QWCWibGqsVT8Oz+o2iZ3wChEJhyQTlq9fLEo2PiJZa5L9pzr9ck5XSb1TFLEETeQpqJPCKbOQNGVTVzgM/HBQUJ3s+kkyFNxZRaDS79SiV+dNOstKdvzglDG/s9q2bjK+PLcOlXqlBbkUFBIuS6fCr4aM+9z+RKyvRAeS4IggBIM5FfJONAGs93eKpKxuOkl5OqjkObYENduT8LWyELEgHyKAwz2jPtMzmSe9YROUn0ZXKUKcSxhaVCd5QmCGIEJEzkG8lsPLG+E0WtPU6vGFXVTOro4iPaM9Wp+XO0xGUuSyYnSR4JWASRa9weX0L1MJwuD0yD9gy2KHFImChyoqm1f3PH10ctZ55QyXOiIIj2THVqSVLPOtr4KuRwXoLINoxYGLW2CB+/ubMpg61JDhImipxoau1+s3N0VTOpo4uPaM/Ul9yzzokpjCCIvIOEiWJlyE/C4+PQ2jwJr7/XhV6jA0CI+joeVTOpo4uPaM80iWc9qimMx1+HxhBBFB/FKUyU+gLG4yfR2tyIV4ok3JLIH2KawlDgmS6zRamvV0RRUHzCRKGn6k0DfHbsbW0d+OkP5kDJikpLkMjmQj10rXPHDJCz4tLYFCLMJtU6JSRCDuD8CbDIn2IUaL0iioSiEybIISy6Hdvj8UKtlca/SBX6iSmbC3UxbwqjjYMQ84her/SH9IL8KeKB1iuiWCg6YYIWsDSFdBbB5pjNhbpoN4UUxgGFFo8OrVdEsVB0GTCzWeQoX0lHhsFiKMYUbaE+3WdLe8lro7U4602kMg4o0+Xo0HpFFAtFp5mg3AhIS0hnxk5MWTSdRDsZn+yxYJxOntaTn0LK8F5LIc3BxpnGPk5pHFBo8ajQekUUC0UnTNACNkSKIZ2xVNQme5IbVZZNJ2qZGLcvmx5WqGxlcyP2tZ/A5HptWoUJp8uDlc2N2N7WEXYtp9sDIIunzHT2sQBQyPiFpLhPzhRaHBtar4giofiECYAWsDQQ7cRkMDrw2+c+TGqjyrpfAQdcOFaNpQsmwMf5IwwC1UjTrUZWyiVoO9iFlvkNfhMKB7Qd7MKsibPTep3RSFsfDwklz+4/OkJIopNzmqH1iigCilOYIPhJRP3Nc2ISCgX4ySN/T3qjiltlLgBOn7fgXK81ZTW9khWhtlKZcTVyoNR41tTVUZ5lusxToULJvvYTwfLpsydVQqeSJH9PhR4hRBAELyRMlApR1N+1lQr0m5yjhvwBQLfBmtJGFZd3f7pNIdlSI4dcx+b2Qs5kMJ9HjD5KVwRFqFDSa3RgxxsdAIDJ9WXQKRPU6gwJEBa7GwMWFx554ZOCjRAiCIKfoovmIPiJpv5uP9KDB/54EPc8+ncc7R6MHuUQYj8PJZGNKh7v/oxEkQwJRXUVCr/Qk6mNa+g60xr0Gb1OrD5KVwRF3FEGAn9yqm6DFSaHBz4fN+L9o92DuGdrOw4d7w8KEpHtJgiisCHNRIkQTf3t47jgvwPVRH0+LlwNjfTZz8dVyPGTVbMhY8VQycRQSsO1IRR3Pzqj9VFMTUycZoa4ogx4NCR33TgLjTUqmKz+ayhkDJ7df9TfXgHo2RJEkULCRIkQTf0dupGoFAy+PGsOi34ImEJStp/HMl/E0U6Kux9m1D6K5tCXiAkpDvMQn4bkf175FDddOTnMlBGIoAm0k54tQRQfZOYoEfjU363NjXjzg+7gZxZeUh8UJIAQNbTdM8J+vq2tA1aHO26NRLzmC0p0NDrJ9lHCJqRRzEN8GpLLZ9aMMGVsb+vAFbPr8Ob73VjZ3EjPliCKkJxoJm6++Wb09/dDLPZf/j/+4z8wY8aMXDSldOA5aRqMDpit/o2EZUSorVLyqqEdLk/KJ8q4zRdD7Xz4Rwtwrs9Ccfd8JOlUmm4TEp+GRCjkN2UIhX5BtO1gFzZ89xJwHEfPliCKiKwLExzHobOzE//3f/8XFCaILBGh/lbLmbANCQIBr9BQoWL57ecKJmgbHy3MLyHzBQeMq1RCIuCCfxMRJJGbIK0mJAEgFGBEUrCvjNfxXmP2pEpMri8bKUDQsy0Z1BoZWEl8a77T5YFp0J7hFhHpJOu7+ZdffgkA+P73vw+j0YgVK1Zg1apV2W4GAYzckASI6nSnjjwJKxgc7Yo/hJPSBueetD2DEN8LlYLB0gUTUFulxDidHPVjtbzX0KkkwyGl9LxLElYixk8ePhDXZ39zZ1OGW0Okm6wLEyaTCXPnzsVPf/pTuN1ufPvb38b48ePx9a9/Pa7v63TKDLcwO+j1qlw3gRdduRINNVr0m+0oV8kwpkIBodAfL6oP+dzp8xZe+/vDP1qAcZX+Z+TzcTjba0W/yY5ytQzzpo+N+tt85GsfAaOPw3xte6znG0nk8wt8NvTZO41ebGv7HCwjwsM/WgCxWIjLZo5L6DkXG9l+9rHGYr6NQ4aJf8tJtO2xfpvvvUTako+fT2f/pPrbQA6EiYsvvhgXX3xx8O/ly5fjwIEDcQsTfX2WkbHsBYZer4LBYM51M6IiEQDVaikADn19Ft7PnOvlT2B1rs/iN0/EiBwY7beB/OijWBMq1jjMh7bHIp7nG+v5xXr24yqV6OuzxHeNIiRTzz6ZsZhv41CvV8Ht9sT9+UTaHuu3GUbM+14ibcnHz8fbP4Gxk46+jzUOsx7N8f777+Odd94J/s1xHPlO5CMRyYgik1mNltSoGEqYlzKxnl9KZbNHGVcEQRQmWRcmzGYzfv3rX///7d1fTJPnHgfwb6F/oAiirqUaYS7oTsym8WIJYtyE7UiXYXXnzLlubpC4i8POAhk3gy2GXcxF2Z9w4ZIdE02WJSbGRQ0hURnLCcmynmRxycALkzkNRzcOUHDOlUpp1+dcdFbA/oO37//v567tS/n1eX9P+fE87/s8iEQiCIVCOHfuHHbu3Kl0GJTJnFUL062Ome32xEx3DpD2Zb7zY4m37+aQV0SkT4oPCdTX12NoaAjPP/884vE4XnnllXnTHqS+nHaezHJ7Ihef0reM52+Jt6YqvmssESlGlUWr3nrrLVy4cAH9/f1obm5WIwTKIOdRhQyLGnHxKX3Lev6WsN8JR6uIjIsXK9ADUv1XunqVEyVFNlwfDyX21XDasMxRmP6PiFK7dZI88n3+LEBpiR3+nX9J7gfz70s38Pt0lKNVRAbAYoIesHA9gtWrnNj310dx8Nh/klf2+3c+irWuZaheU5qxoFjswkqkIfk6fxbg2ujvGJ0K49zgTw/kEItMIv1jMUEPWvBfaUmRLVlIAImh6VMDP+JvdevhKi/ifDdldCccxbXRO8lCArifQ93/3MZCgsgAuNEXpTZnTnz6bjTt9uWc76ZsbodmEReC10sQGRiLCcoq3boCBRYL57spq/JSBwr+3PdlLt7dQ2QcLCYoq3Tbl1evKePdGZRVWbEV1WvK4Of240SGxWsmKLs511BM3omgyGFFWbEVy4rS7xJKlCSA6jWlqFhZjA1VKzATieGhMgcvvCQyEBYTlJuFV/b/+RxRTgSwzGHFMod13nNEqURjcc1tUkaZsZggIiJNsVkLct6uHOCW5VrAayaIiIhIEhYTREREJAmnOYzIklgo6HZoFuWlDpQV80JJopTYV5asbHkxHHb+CaEEZoLR/LnN872lsO/dgrexarn0L0l+8ZLS5Mw5OfuKCTjsVl7XQEksJgxGtm2e+cVLSpM557glOlH+8JoJg5Frm+d0X7x3wlFJ70uUjtw5xy3RifKHxYTBpFv6urzEnhgyvhvFjeA07szEAEvu78svXlKaLDk3pw+UOG1Yvco572Uu8U20NJzmMJiF24cnly0useHKf5c+ZHyvSJn75c4vXpJT3nMuxbRJy9834fTXP+J/U+H5S3xz6o5oUVhMGM2C7cPLS+woc9pwZ1ra/HDaIoVfvCSTfOdcqmmTf529jEP/qMX0TDTZV5jPRIvHYsKIFi59LTIPGed0sVmaIoVfvCSbPOdcuj4wPRNF1UMlyd9JRIvHYsIk8jJknKJIIZJVHnOOU3VE8uEFmCaRahtxbgFNZsI+QCQfjkyYBacpyOzYB4hkw2LCTDhNQWbHPkAkCxYTREREOhKNxeFylaodxjyqFBN9fX347LPPEIvF0NzcjP3796sRBpkZ9xlJYDsQ6Y7NWpDzvihK7YmieDExPj6Onp4enD17Fna7HX6/HzU1NVi/fr3SoZBZcZ+RBLYDEeWJ4ndzBAIBbN26FeXl5XA6nfB6vbh48aLSYZCJcZ+RBLYDEeWL4iMTExMTcLlcycdutxvDw8M5//yqVcvkCEtxWpvv0iK52mjsp2DKxYvC0T9QXbUyp/fIlod6OL/5aIdU9PDZ5aT050+Xi4udV4/G/oDNWpj9wDlstsX9CVnM8fl871SvyRm73o9fSg4rXkzE43FYLPd3mBJCzHuczdRUCPG4vsdgXa5SBIO/qx2GpsnZRk6HNeXiRU5b4bzfmalDZcpDvZzfXNthMfTy2eUi1+dfSi66XKU5z6sDibn1xR4fjcZyPh7Aoo7P13vbbNaUr8kZu96PT5fDmfJQ8WkOj8eDYDCYfBwMBuF2u5UOg0yMixclsB2IKF8UH5nYtm0bjh49ilu3bqG4uBhfffUV3n//faXDIDPj4kUJbAciyhPFi4mKigq0t7ejqakJ0WgUe/fuxebNm5UOg8yOixclsB2IKA9UWWfC5/PB5/Op8auJiIgoz3S3AmZBQe4Xa2qZUT6HnLTcRtli03LscjPzZweU//xmb2/Kv6XklEUIwYFNIiIiWjJuQU5ERESSsJggIiIiSVhMEBERkSQsJoiIiEgSFhNEREQkCYsJIiIikoTFBBEREUnCYoKIiIgkYTFBREREkrCYkNmnn36KxsZGNDY24sMPPwQABAIB+Hw+NDQ0oKenR+UItaO7uxudnZ0A9NlGfX19eO6559DQ0ICTJ0+qHY7smNsJWstbs+XhQqFQCLt27cLPP/8MQBvnREmq9UtBsvn222/FSy+9JCKRiJidnRVNTU2ir69P7NixQ9y4cUNEo1Fx4MABMTg4qHaoqgsEAqKmpkZ0dHSIu3fv6q6NxsbGRH19vfj111/F9PS08Pl84urVq2qHJRvmdoLW8tZsebjQDz/8IHbt2iUee+wxcfPmTU2cEyWp2S85MiEjl8uFzs5O2O122Gw2VFdXY2RkBA8//DAqKythtVrh8/lw8eJFtUNV1e3bt9HT04OWlhYAwPDwsO7aKBAIYOvWrSgvL4fT6YTX69V8zFIwt7WZt2bLw4VOnz6N9957D263G4A2zomS1OyXLCZktGHDBmzZsgUAMDIyggsXLsBiscDlciWPcbvdGB8fVylCbejq6kJ7ezvKysoAABMTE7prIz3GLAVzW5t5q4UY1PTBBx/giSeeSD42W3uo2S9ZTCjg6tWrOHDgAN5++21UVlbCYrm/vasQYt5js/nyyy+xevVq1NbWJp+Lx+O6ayM9xpwPZs1treatFmLQErO2hxr90pr3d6R5vv/+e7S1teHdd99FY2MjvvvuOwSDweTrwWAwOSRnRufPn0cwGMSePXvw22+/IRwO45dffkFhYWHyGD20kcfjwaVLl5KP9RCzVGbOba3mrRnzMBOPx2OanLxHtX6Z96swKGl0dFTU1NSIQCCQfG5mZkY89dRTYmRkRMRiMfH666+L8+fPqxildpw5c0Z0dHToso3uXfg2NTUlwuGw2L17txgaGlI7LNkwt+/TUt6aLQ/Tqa+vFzdv3tTEOVGSmv2SIxMyOnHiBCKRCI4cOZJ8zu/348iRI2htbUUkEsGOHTvw7LPPqhil9jgcDt21UUVFBdrb29HU1IRoNIq9e/di8+bNaoclG+b2g7SQt2bLw2y0cE6UpGa/tAghRN7flYiIiEyDF2ASERGRJCwmiIiISBIWE0RERCQJiwkiIiKShMUEERERScJiwgQGBwfh8/ng9XrR1taGUCikdkhkYkIIdHR04MSJE2qHQibV29uL3bt3Y8+ePfD7/bh8+bLaIekeiwmDu3XrFt555x0cPXoU/f39qKysxMcff6x2WGRS165dQ3NzM/r7+9UOhUzq+vXr+Oijj3D8+HH09vbijTfeQGtrq9ph6R6LCQM5ePDgvL3qe3t7UVtbi02bNmHdunUAgJdffhl9fX3g8iIkp1S5+Oabb+LkyZN48cUXDb1wEGlHqjz85JNPcOjQoeSS0o8//jgmJycxOzurVpiGwGLCQPbv348zZ84gFosBSGzH29raCo/HkzzG4/EgFAphenparTDJBFLlot/vR1dXF3w+n8rRkVmky8O6ujoAiSm3w4cP4+mnn4bdblcxUv3jctoGsnHjRqxduxaDg4N45JFHMDExgcLCwpQ7xBUUsI4k+aTKxe3bt6sdFplMpjwMh8Po7OzE2NgYjh8/rnKk+sdiwmDuVeLr1q3Dvn374Ha7MTw8nHx9fHwcy5cvh9PpVDFKMoOFuWiGrZ9Je1Ll4ejoKFpaWlBdXY0vvvgCRUVFaoepe/z31GC8Xi+uXLmC/v5+vPDCC9i+fTuGhoYwMjICADh16hSeeeYZdYMkU1iYi0RqWJiHoVAIr732GhoaGtDT08NCIk84MmEwdrsdXq8Xk5OTWLlyJQDg8OHDaGtrQzQaRVVVFbq7u1WOkswgVS4SKW1hHh47dgyjo6MYGBjAwMBA8rjPP/8cK1asUDFSfeOuoQYTDofx6quvoqurC1u2bFE7HDIx5iJpAfNQGZzmMJBvvvkGdXV1ePLJJ9lpSFXMRdIC5qFyODJBREREknBkgoiIiCRhMUFERESSsJggIiIiSVhMEBERkSQsJoiIiEgSFhNEREQkyf8Bab1jBZYTIckAAAAASUVORK5CYII=\n", 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3v/8dzzzzJ77xjW8n2p955s9otVrWr9+YaItGo7S1tWI2W8atHTIaZ2LbdOWCi5C33nrrtLaVK1eycuVHJWVLSkp45pnTq7vl5uby5JNPXlD7BJce/3vsTxzrOQ5IaBQ9oV4r9Y0xIP6UlpVmIhKN4eoP8fRbJ/nxl9dgNqznJ7v/g06/A380QHHKbHwRH86AS3hDBKOycuVqPvGJm3j22ZErqQ7wsY9t4rHHHmXbtj/y9a9/67z0vWrVGp544jeEQqFELQmj0cg//uPX+H//72HMZgsbN17FyZO1/OEP/3vGx09NTeOmmz7D00//CYvFwooVK2lra+V3v/sVmZlZ3HLL507b5/Dhg6xatSbx3uHowuFwMHv27BETOo1GI9deex0vv/w3vvvdb7NmzeU0Nzfxwgt/pbBw1mnhnuHo9fpzLl/+X//1M95441UWL16KXq/n1VdfHvL5ihUrSUuLXwPmzSvh4x//O/785z/g9/tYsKCMPXt289Zbr/PFL/7jEKHT3e3gtts+NaIH5i9/+TMejycR4qurO5GouLpu3YbErKszsW26Mi08IQLBZOGL+DncXYUKFUldawjQT6TTSkaKgfKidBRZZvPqWciKwsN/PkS3O8jPnznMHTct5nMLbub/HfwVJ9z12IwZuENuzFqz8IYIxuTrX/8W+/btpqWledRtsrNzqKhYyLFjR7nqqmvOS79XXnk1v/71L9m3b88QF/2nP30bZrOZP/3pD2zf/hL5+QX86EcPcMcd3xjjaCPz9a9/m9zcfJ5//i9s2/YUFouFNWvW8ZWv/NNp3o7Ozg7q6+v4h3+4PdH2t789x29/+ziPPPI/o1ZS/Zd/+R4mk4m33nqDffv2kJWVzS23fI7PfvYLkzIF9fjxeIHCQ4cOcOjQgdM+f+SR/xlyo7/zzrvIzMzi5Zf/xiuvvEhWVjbf+tZ3+NSnPj3hPp966vd0dnYk3tfWHqe29jgAdntmQoScqW3TEUk52/J1FxEiSW/yma7JkQccR/h11e+xkkPHnoWJ9i9/opAebR0SsDJ7GYeP+dlb7aCl20sgFGPD4hz+flMJrzft4Lm6l6lIL6Ukbd60zAuZrmN/KTDdxv6+++7C5/Py0ENTv27Lf//3/+PDD3fxu9/98byXkJ9u434pca6JqWIBO8ElRU1PLQDOviDqnBNIej/Z6SZCxg4OOg5zwHGEKmcNFcUZlBSmkp1uAuDDo11EojJL7HHhctxdx5qcFdNOgAgEg/nKV/6JI0cOU1NzbErtcLvd/O1vz/GNb3z7gqxhI7h4ESJEcMkQk2NUOuNlk1V6P9Y8F5++MZm7P7eMClspS+yLWGpfSHlGCXarkSSTFrUkYdRrCEVivHu4nQxjGoXJ+YRjYV5tPD3fSSCYTuTm5nHHHXfy8MNnv2bL+eCxx/6LzZuvv2iWlxdMHiIcI7ggTEf36EFHJb+qehI5aELVl8umFQWszl0+qjdjoLw7SPzh9Vr0WjXfv20pEYOTnx34HyRJ4o4lX6XZ0zatwjLTcewvFcTYTw1i3KcOEY4RCEbAGXCxo2UnzsBHq0jubI9X6o12FVKoLGPLnPh0tuHbDWC3GrlqWT5XLctj1YJMQpEYD/5hP5pgOnOT5yIrMq82vCdW1xUIBIKzRIgQwYykylkzRBwEogGO954ERSLmzOaq5flDtvuwpZI397fgcAdGPN71a2dRmGkhHJF57IVj6IPx9S6a+tqYlVwgVtcVCASCs0BM0RXMSAZEwcD/x1zHkRWZmCeVdHMyS+dmDPm8vzOFw/UfLWo3nOrGHswGLclmLZ09flZoC6kMv4dPcWPSmKZNKEYgEAguJoQIEcxIMozpQ+p3HHHGZwfIXivG3BZcwflkGNORQyZijgLmZlowq7xUFI9cuXCgPSsb3qk/RHOXgdT0FHpDfSTrxWJxAoFAcDaIcIxgxtPQ18SBriOggCKrMNl6EmGayjonh0+6aO/2ctWyfOzWkYsfDeSHWHPcqK3d1LprWWJbBEB9X+NknYpAIBDMKIQIEcxonAEXv69+GhkZOWjCYtRSkVWcCMNUFGewaE76qB6Q4azKX0hSNJegKwOVJ76K6L6uI0TlsZc+FwgEAsHpCBEimNFUOWtwBXsAUKJqTOl9mLXmRA7HgIdjNA8IxKfqDiStZhjTWZ+3FiVk4nBlBG00GW/Ew3ttH07K+QgEAsFMQogQwYwmy2wjIkdBVoGixp5kPeOZLAMhm3jNEJiblwJAe7efxeZ43sn2xjeRFfn8Gi8QCAQzHJGYKpixONwB3q6JV0iNuTMwx7K5rXzTGc9kGQjVDPzf1u3FZNDgD0bJ08+lXkrFFezlqKsGV6B3WhUuEwgEgumM8IQIZiyVdU5O9sfXiom6cijWLTwrcTA8ZFNRnMGyeXFB8ub+VopSZgHwYv2rHOw+IgqXCQQCwQQRnhDBjCU9K0TQ3Y0iS2j9drasnX1Ox3O4A+yq7AAJNq2aRVVDL129AUrD8Sm6PUE381PniMJlAoFAMEGECBHMSBzuAK/UvQ0SKEETf7dmLvl2yzkds7LOyZ5qB5IESUYtayuyeXFXIw1dvaCDsBxhS/GZh3sEAoHgUkWEYwQzkh3HK2mN1AEQc+VQUpA6Zln2iVBRnMFlpXZWlNqpKM5gXUUWAB21aRjVJqJylOqu5vNiv0AgEFwKCBEimJH06GpBkok6s5mnX0Z9e9+QGS5ng91q5MbLi7hxXRF2qxF7qol5+VbCfiOpvnIA3m5+73ydgkAgEMx4hAgRzDgURaHJ1wBAtKOIlSVZZ1yUbKKsq8gGIOzIQUKFK9ZBMBo8r30IBALBTEWIEMGMo6anlv6wByWixSCncFlp5oSKkp0Ny0ts6DQqWjqD5FlyUFCo72s6r30IBALBTEWIEMGMY2f7HgDkkJHFc+28X9l+TrkgY2HQacjPjCe8GiJ2ACqdx9jRshNnwHVB+hQIBIKZghAhghmFM+Cipb8DALk3E7Nefc65IONhNsQnmfV2mID4ir1VzmOiXohAIBCMwwUVIV6vl+uvv57W1lYA/vznP3P99dezZcsWfvCDHxAOhwGorq5m69atXHvttdx9991Eo/HFwNrb27ntttvYtGkTX/va1/D5fBfSXMEMoLK7GlfolAfCncvGpXkXJBdkAIc7QJJRB0C4N40knQV3qA+9Ri/qhQgEAsE4XDARcvjwYW655RYaGxsBaGho4Ne//jV/+tOfeOGFF5BlmT/+8Y8A3Hnnndx77728+uqrKIrCtm3bALj//vu59dZb2b59O+Xl5Tz66KMXylzBDCHdmIqCghwyMC8zm5x08wXJBRmgss5JryeEWiXR5Qozh/haMg6/U9QLEQgEgnG4YCJk27Zt3Hfffdjt8Ti5Tqfjvvvuw2KxIEkS8+bNo729nba2NoLBIIsXLwZg69atbN++nUgkwt69e7n22muHtAsEY9F9Kg9D7stg2Xz7Be+vojiDJfMyKMyKV02tr9GDAp0+R3zhPIFAIBCMygWrmPrAAw8MeZ+bm0tubi4APT09/OEPf+DBBx/E4XBgs9kS29lsNrq6uujt7cVisaDRaIa0nw02W9JZnoXgXJiKcW+vPZUP4rWyflk+tnTzBe3PZkuibK4dRVJR396PpGjQxpKIaDyEdV5yUvMvaP9j2SWYGsTYTw1i3C9OJr1se1dXF1/+8pf55Cc/ycqVK9m/fz+SJCU+VxQFSZIS/w9m+PuJ0t3tOSebBWeOzZY0JeN+rDNeJTVNk4lalifNhrx0U+K13ZhJW8TDn9/bw/Wl+gsWChqNqRp7gRj7qUKM+9RxruJvUmfH1NXV8ZnPfIZPfOITfP3rXwcgKyuL7u7uxDZOpxO73U5aWhoej4dYLAZAd3d3IrQjEIyEJ+ylP+pGiamZm5s6qdNki3OT0ahVdLr8lGXNAuCkq/WCzsoRCASCi51JEyFer5cvfelLfOtb3+If/uEfEu25ubno9Xr2798PwPPPP8/69evRarUsX76cl19+GYDnnnuO9evXT5a5gouQxv74ui2yLxnZ3M07DQf5sKVyUvrWatQU5ySjAIo/GQDF4qC8SCSnCgQCwWhMmgh55plncDqd/Pa3v+WGG27ghhtu4Oc//zkADz30EA8++CCbNm3C7/fz+c9/HoD77ruPbdu2cd1117Fv3z6+/e1vT5a5gouQyu5qAGRPGtpgJrFeG3LfhZmaOxLzC6xIej8nu9tJ0lrol3uoC1SJwmUCgUAwCpKiKMpUG3GhEbHCyWeyY7SyIvO9d3+MP+YjWr2OzQvLSTJpqSjOmLScjOqmXv7zzecw2VzMyUuhpvcEdmMGGcY0ytJL2Zi/dlLsEPHxqUOM/dQgxn3qONeckElPTBUILgR17gb8MR9KREtWioU1FdmTnhA6Ny8FcyQHXzfosuOl3J3BHpbaF4rCZQKBQDAComy7YEZwsDue+6HENBSXRCZdgABo1CquLJtHzFFIoDUXvVqHrMhE5KgoXCYQCAQjIESI4KJHVmQOdMVFiNybxZVzl0yZLavKMgFoapGpyFgQbzy7meUCgUAw4xEiRHDR09TfiifiQQ4ZmK9dTV7K1E3ltlmNGHRq+nxh7KrZALR5OqbMHoFAIJjOCBEiuOip62sA4qXa5+ZZp9QWSZJIMccXtOtsMgBx+yKxyFSaJRAIBNMSIUIEFz0nexuBeKl2psFkr3kFVgBMWgu5lmwicpRD3WKqrkAgEAxHiBDBRY2iKJzsjXtCkpVMVpZlTbFFUFKQCkBXj5980ywA3mvZy1FXNVXOmim0TCAQCKYXQoQILmqcgR4Csh8lomNRQSGVdU4c7sCU2lRSkIoEHGvsIeq2AtDh7WJWcoGYqisQCASDECJEcFFT39cIxEMxKgkOn3RN+XotqUl65hdYicYUUjXZAAQUL+3ezim1SyAQCKYbQoQILmpqexoSrxeVmVk0J52K4skr1T4al5XGp+o2t4ax6qwoKHT4nCIcIxAIBIMQIkRwUXO8px4AvSmKS27mqmX5U1KobDjlRWkAHG/pJVmOe0PUEZMIxwgEAsEghAgRXLQEogF6w04UWSLPMAtfxDdtZp9kpBixW40EQjFmJxcDoNGLyqkCgUAwGCFCBBct9e4mkEDxJ1Nst9HY3zytwh2FWfGFnaI9GWhVGpp9zfQG3VNrlEAgEEwjhAgRXLQc6TwJgAoNZdmFlKWXTqtwh1YTr9deXe+hLL0UgEPdVVNpkkAgEEwrhAgRXLTUOONJqQajTIevi435a6dVuGNNeTwXpN8fpvyUCKnpOYEz4BKFywQCgQAhQgQXKTE5hisaX5OlJHnBtPKADFBamIpJr8Hjj5CjLwTghLuOI93HROEygUAgQIgQwUXKgc6jKKoocsDMxwqv4PAx/5QXKRuOJEnMyo7nhbhckGWyE4qFseqTp13oSCAQCKYCIUIEFyWv1r8LQGpoLnVtfdOiSNlIzM5OBqC+vZ/5aXMBpmXoSCAQCKYCIUIEFx2esJeOcDNKTMWClEV4/BGKcpOnRZGy4czPtwJwtLGHktQ5ANT0npxCiwQCgWD6MCEREgwGOX78OIqiEAhML5e34NKjub8VANmfQocjRE2zmySjdloUKRvOvHwrWo2Kpk4Pmbp8VJKKxv5mAtHgVJsmEAgEU864IuTQoUNcffXV3H777XR1dbFx40YOHDgwGbYJBCNS3d0EgCpspld/HIM5OC29IAA6rZr5BVYAXni3hVxTLrIic6K3bmoNEwgEgmnAuCLk3//93/nd736H1WolKyuLf//3f+eBBx6YDNsEghE54WoGIMmkQZ/hYs6C8LT0ggxQPitewr26qRdLNAeAKpeYGSMQCATjipBgMMicOXMS7zds2EAsFpvQwb1eL9dffz2trXH3+a5du9iyZQvXXHMNDz/8cGK76upqtm7dyrXXXsvdd99NNBoFoL29ndtuu41Nmzbxta99DZ/Pd0YnJ5iZOILx1Wgr0irYMHsJq/IrptiisZlfkApAJCpz+ewlAFQ5q1EUZSrNEggEgilnXBGi0Wjo6+tDkuLVH+vr6yd04MOHD3PLLbfQ2NgIxMXMXXfdxaOPPsrLL79MVVUV77zzDgB33nkn9957L6+++iqKorBt2zYA7r//fm699Va2b99OeXk5jz766Nmco2AG4Qr0EFZ5UGJqFmTMvyhmmeTbLRj1GnzBKEa1HqPGQF+4nxZv21SbJhAIBFPKuCLka1/7Gp/97Gfp7OzkX/7lX7jlllv42te+Nu6Bt23bxn333YfdbgfgyJEjFBYWkp+fj0ajYcuWLWzfvp22tjaCwSCLFy8GYOvWrWzfvp1IJMLevXu59tprh7QLLm1eP7EPADlo4p2jJ6ZdbZCRUKkk5uWlIOn9/O7Qc6hQA1Df1zTFlgkEAsHUohlvgyuuuIKioiJ27tyJLMt8/etfp7i4eNwDD88bcTgc2Gy2xHu73U5XV9dp7Tabja6uLnp7e7FYLGg0miHtZ4PNlnRW+wnOjQsx7oe6q0ACtQS9UisNXfMom2s/7/2cb5aWZlLlOUBfyItBpQO1j+6wA9kY5GD7UZbklJFpsY1/oAkifvNThxj7qUGM+8XJuCLE7XaTkpLCddddN6TNarWeUUeyLCdCOgCKoiBJ0qjtA/8PZvj7idLd7Tmr/QRnj82WdN7HPRgN4aELRYEs3SwWp5YxO9NyUXy/Jq0Kuc+GrJIwW1IJpu2ktruBd2v3c9RVjccbZGP+2vPS14UYe8HEEGM/NYhxnzrOVfyNK0JWrVp12s3fZrPx7rvvnlFHWVlZdHd3J953d3djt9tPa3c6ndjtdtLS0vB4PMRiMdRqdWJ7waVLY38zSApENczOtJKc1odK7wem78yYAXr6g0hhE6HOApauy+ON8C46/Q7mp8a9iqKEu0AguBQZNyekpqaG6upqqqurOXz4MA888AA33HDDGXe0aNEiGhoaaGpqIhaL8eKLL7J+/Xpyc3PR6/Xs378fgOeff57169ej1WpZvnw5L7/8MgDPPfcc69evP+N+BTOHY92nKo0GkrGadRfVInCL5trITDMBkJWWTLY5E1mR2dm+h/KMkmmfXCsQCAQXgjMq267T6di6dSs7d+484470ej0//elP+eY3v8l1111HUVERmzZtAuChhx7iwQcfZNOmTfj9fj7/+c8DcN9997Ft2zauu+469u3bx7e//e0z7lcwczjmjBf4sscWsDp3+UW1CJzdamRNeRYAtc1uci3ZQDzH5WIRUgKBQHC+mVBOyACKolBVVUV/f/+EO3jrrbcSr1evXs0LL7xw2jYlJSU888wzp7Xn5uby5JNPTrgvwcxFURQcwQ6QYIGtmAxj+nnLoZgs5ufH64Ucb3FTVqgDIBQLXTRCSiAQCM43E84JGSislJ6ezt13333BDRMIBtMT7CUmRVDCOiqKc6banLNiVnYSOo2KDpef2e25IEkEokEMGsNUmyYQCARTwrgipKZGuIoFU09jX7ywlxxIoig7eYqtOTs0ahXFuSlUN/VyrDqKZpaNqMnB/q7DbMhbM9XmCQQCwaQzqgj57W9/O+aOX/ziF8+7MQLBaNQ44uvF6HUqPDE3ei7ORM75BVaqm3qxWvTYkxZSGXuD99s+ZH3u6rOegi4QCAQXK6OKkNra2sm0QyAYkyZ33BOi0UeoctZcdPkgA8zPtwIQicl8+fIruXvnB7T7Oun0O8g2Z06tcQKBQDDJjCpCHnzwwcm0QyAYFUVR6A53gAoKDEUXdSJnUU4yGrWKtm4fgaDM/NQ57Hcc5qS7XogQgUBwyTFuTsjBgwd57LHH8Pv9KIqCLMu0trayY8eOSTBPcKnjDLh4r/VDwiofSljPlpLNZBhTptqss0arUVOck8zxFje1LX3MsRax33GYo67jxGRZ1AwRCASXFOPWCbnnnntYsmQJXq+XLVu2YLFYuOaaaybDNoGAKmcNB7oq42/6MynIvPjXh5hfYAWgtsXNHOtsAE6666lyHhM1QwQCwSXFuCJEkiS+8pWvcNlll1FUVMTPfvazsypWJhCcDQvS5+GN+AGwmvW4w71TbNG5M5AXcryllyyzHaPGQCAaJNNkv6hDTQKBQHCmjCtCzGYzAAUFBZw4cQKDwYBKdUaFVgWCs6bL301YCaJEtOhMwRnhKSjKTUGtkmjp8hIMxUjVWwHwRf0iFCMQCC4pxlUTFRUVfPvb32bVqlX85je/4ac//SkazbipJALBeWFn2x4Aot15WMknWzdrag06D+i1amZnJ6MAde39lGeUAhBTYlNrmEAgEEwyo4qQf/3Xf6WpqYl77rmHL3zhC8yePZu77roLWZb5j//4j8m0UXAJc7I3Xh9E7c6nvzmXN3f14HAHptiqc6cwK57b0tzlYZGtDIBWb/tUmiQQCASTzqgujVgsxs0330x5eTm33XYbiqKwceNGNm7cOInmCS5lvBEfAdmLElOhSnESUUz0+9VU1jm5aln+VJt3ThRkWgCobelDp01Br9Lj8Dtp83YkFrcTCASCmc6onpAf/vCHvPvuu1x//fU8/vjjXH311Tz++ONDFrQTCC4krZ64Z0CJ6kjJ7qN8cYwVJTYqijOm2LJzp/DULJ/Gjn4q69zkauYB8G7bB1NplkAgEEwqY+aE6PV6PvGJT/DUU0/xy1/+ku7ubrZu3coPfvCDybJPcAlzoLkOAJU/jWvmL+equUu5alk+dqtxii07d3IyzGjUEp5AhAWzrGwqXg/Ah+176fJ3T7F1AoFAMDlMeJrLnDlz2LhxI8uWLeOdd965kDYJLnGcARc7WnZS2XUCAIucycb8tTNq5ohGrSLXFg/JFGalUJZdiFlrJqrE2HUqGVcgEAhmOuOKkI6ODn7xi19w5ZVX8vDDD7N27VpRLVVwQaly1nCgo4p+VQcA5ZlzptiiC8Pc3Hjl1xMtbgCKU2YB0NTfzEv1r+EMuKbIMoFAIJgcRk1Mffnll3nmmWc4ePAgmzZt4uc//zkVFRWTaZvgEqU8o4RDjS2gjqKE9VyzeMFUm3RByEwzAXC0sYe/Wzeb0rS5HHEepcXbjifiw6w1X7QL9QkEAsFEGFWEPPzww9xyyy3853/+J1ardRJNElzqZBjTMetNEAFtIIvMNPNUm3RBCIQiADR09BOTZWanFALxKsVLbBWieqpAIJjxjCpCXnvtNSRJmkxbBAIgvmpurfcoAHOT502xNReOyxZk8fq+Vjz+CA0dHopysjFrTPiifpZnLZlROTACgUAwEqPmhAgBIpgqmj2t+OlFiWhJT5dnbG6E3WpkRYkdgMo6FypJxYL0uPejylU9laYJBALBpCAWgRFMO95t3ht/EdPSEa2fEevFjEZFUdzbUdUQF1oVp0q4H3AcQVGUKbNLIBAIJgMhQgTTCoc7wMGOuOjQa3Qk6y0zOjeipDAVjVpFY4eH+o5+ulssGNVGmvpb2Nm+e6rNEwgEggvKuCKku7ubr3zlK1x77bU4nU6+9KUv4XA4zqnT559/no9//ON8/OMf59/+7d8A2LVrF1u2bOGaa67h4YcfTmxbXV3N1q1bufbaa7n77ruJRqPn1LdgerPvRAshtRtFVrEgaSE3zrluRudGxBezS0IBXvqgkWN1Hsp18cJlLze8wdvN71PbW8eOlp0zNiwlEAguXcYVIffffz9XX301er2elJQUSkpKuOeee866w0AgwAMPPMCTTz7J888/z759+3jrrbe46667ePTRR3n55ZepqqpKFES78847uffee3n11VdRFIVt27addd+C6Y821Q2A7Enl5oqPzWgBMkCSSQuAozfAojnpbC5ZhVlroi/cz56u/bzbuoujruoZHZYSCASXJuOKkLa2Nm6++WZUKhVarZY777yTjo6Os+4wFoshyzKBQIBoNEo0GsVisVBYWEh+fj4ajYYtW7awfft22traCAaDLF68GICtW7eyffv2s+5bMP055orfaC1SGikW/RRbMzlsXJIHgNsT4oqleWSmmskwpAEQlWOsz1tDWXrpjA5LCQSCS5NRp+gOIEkSsiwn3nu93iHvzxSLxcK3vvUtNm/ejNFoZMWKFTgcDmw2W2Ibu91OV1fXae02m42urq6z7lsw/WnyNoIE6cm6qTZl0iiblUpqkp5eT4h2p488m4UVWUto8rSiV+uZl1rMvNTiqTZTIBAIzjvjipBrrrmG73znO3g8Hv70pz/x9NNPs3nz5rPusKamhr/85S+8/fbbJCUl8Z3vfIfGxsYhU4IVRUmIn5HazxSbLems7RWcPWc67tFYlJDiBwnydAuIqVRkpc/MQmXDKS/O4L1DbXT2hViyIJvNyev5y8kXafa2YrFqMWoNZ3Q88ZufOsTYTw1i3C9OxhUhX/3qV3nuueeQZZldu3bx6U9/mptuuumsO3z//fdZvXo16enxWP/WrVv59a9/jVqtTmzT3d2N3W4nKyuL7u6PVhR1Op3Y7fYz7rO723PW9grODpst6YzH/e2aalDJKEETDoeGHXubuGpZ/gWycHqRnxEv4X6wuovlc+J/G7OS8mnob2bniUMsspVN+FhnM/aC84MY+6lBjPvUca7ib9yckO9+97vceOON/OxnP+ORRx7h5ptvPqdCZiUlJezatQu/34+iKLz11lssWrSIhoYGmpqaiMVivPjii6xfv57c3Fz0ej379+8H4rNq1q9ff9Z9C6Y37588BoBG0jG3WEtFccYUWzR5pFuNABxv6U20LUifD8D2xjfFzBiBQDAjGdcTUl1dfdZhkJFYt24dx44dY+vWrWi1WioqKvjmN7/J2rVr+eY3v0koFGLDhg1s2rQJgIceeoh77rkHr9dLWVkZn//858+LHYLpgTPgospZQ3lGCX2aRgAMBonkrD7sp27MlwLOXj8qlURPfwinO0CG1chS+yJebniDZk8rrza+zW2ln5pqMwUCgeC8IinjlGX80pe+REdHB4sWLcJs/ig+fy7TdCcb4aabfCbqHt3RspOjrmpmJRfycsPrKIrEVTlXsWH2sktieu4ADneA//prJS0OL5+/dj4bl+QC8NzJl3m9eQfFKbP4/IJPJwTbWGMjXNNThxj7qUGM+9RxwcMxS5Ys4brrriM3Nxer1Zr4JxCcD8ozSihLL6XX7wUJpGASl89aekkJEIivI3Pl0rjweOtAKw53AIDLc1cD0Ol3UNldLeqFCASCGcW44ZhvfOMbk2GH4BIlw5jOhrw1fL/+XwHQaTUccx3Hbrp08kEGKJ8dF17tTh+HT3TzsRUFpBmsWLRmvBEf+ck5SJIk6oUIBIIZw7giZMuWLSO2/+1vfzvvxgguTer7mvDG+lCiamaZii/Zm2x6igF7qhFHb4Akc7xQmyRJ5CflUt1TiyfsY2P+2im2UiAQCM4f44qQH/7wh4nXkUiEl156ifz8S2PapGBy2NcWnxVDTEdpXtYlF4oZzOI5Gby2t4W2bi+QCUBhUh7VPbUc7q6iL9Q/bk6IQCAQXCyMmxNy2WWXJf6tXbuWBx54gB07dkyCaYJLhSOddQBYpRwKTUW8ub8lkRNxqVE+O16u/YOqzsQYLLSVISGxt+sgezr3i5wQgUAwYxhXhAynt7f3nFfRFQgGUBQFd6wTgNkspbVV5vBJF5V1zim2bGqYl29FrZLo8YTYWx0fl8LkfK4pvAIABS7ZcJVAIJh5nHFOSHt7OzfffPMFM0hwaXHS2QGaCEpEx+Zlpei08cq5l1KhssHotGqKc5OpbelDM6iKcHHKLAD6Qn0iFCMQCGYMZ5QTIkkSaWlpFBeLxbQE54f36o4AYJBMGCwhMozpl0yp9tFYOs9ObUsfTV0f1T1w+J2oJBV9YQ89wV7SDKlTaKFAIBCcH8YNxzz33HOJnJAVK1ZQXFzMP//zP0+GbYJLgGp3PL9Br1eJXIdTVBTF80IOn3QRicZwuAN4uqyk6+MekNreuqk0TyAQCM4bo3pC7rvvPrq6uti/fz89PT2J9mg0SktLy6QYJ5jZ9Af9+DSdoEBF6kKR63CK7HQzhVlJNHV6OHjCiccf5mR9lJz8Urrp5sX611iYUYZJe+mUtRcIBDOTUUXIpz71KU6cOMHx48e59tprE+1qtZrFixdPhm2CGYyiKDyy77dIKhn8KZj6Sjh8zE9FsemSWjNmNNaUZ9HU6eHDo1185uq5ACwomoOz9gRtvg7+evJFPlt69qtZCwQCwXRgVBFSUVFBRUUFa9asISsrazJtElwCNPQ30xFuQlEkbOp8kOLhB+CSzwkBmJUVX4/hWGMPaUn6xJiUps2jzdfB7s79XDf7apEbIhAILmrGTUzt6Ojg/vvvx+/3oygKsizT2toqaoUIzhpnwMVfa14BQAokcfv6zWhkC0lG7SU7K2Y4zV0e9FoVoYhMfXs/8/KtAFyet4oqVzWdfgePHHyM7634Z4wa4TkSCAQXJ+Mmpt5zzz0sWbIEr9fLli1bsFgsXHPNNZNhm2CGUuWsodkXzytK1aWRk2zDbjVy1bJ8EYo5RUVxxhBvyAAZxnQuy1qKXq2jO+Di98eexhlwTZWZAoFAcE6MK0IkSeIrX/kKl112GUVFRfzsZz9j586dk2GbYIaSrZtFLBp/vTxrydQaM02xW41cc1kBAFUNPUM+W5a5iEUZ5QDUuuvErCKBQHDRMq4IMZvNABQUFHDixAkMBgMq1RkXWhUIAHC4A7zwXmO8QJms4pr5y6bapGmLzWpErZKob+/H7Q0l2jOM6dw07wZUkopANEhRSuEUWnlhcQZc7GjZKbw9AsEMZVw1sXDhQr797W+zatUqfvOb3/DTn/4UjWbcVBKBYESOnOymyfAuAOZwDh9UdV2y68SMx/HmXkyG+N/aoRNDy9ibtEbmp85BQaGm98RUmDcpVDlrOOqqFt4egWCGMq4Iueuuu/jCF77A7Nmzueuuu5Blmf/4j/+YDNsEMxBDuhvF1IsS1lOh23hJrxMzHhXFGZTNis9++fBY12kL+12Vvx6AN5rfIRANTomNF5ryjBLK0ksTNWSEZ0QgmFlMKCdEpVLxpz/9iTVr1rB582aKioomwzbBDOStxt0AmHxFJOnMFOUmixkxo2C3GvnM1fOQJDjZ6uZArTMh2JwBF50+B9nmTHwRP0/V/GWKrb0wZBjT2Zi/NrFezmiekdreOn5V+aSoJisQXGSMK0L+8pe/8IMf/IBf/epXeDwe/umf/olt27ZNhm2CGcbxNged0fhNotxaQUOHhySjVsyIGYNgOIYtxYisQFqyPiHYqpw1HOupIUWXjITEfsdhanqmd1jmfHgxhntGBni3dRe1vXW827rrnGwSnhaBYHIZV4T8/ve/589//jMWi4X09HT++te/8r//+7+TYZtghuBwB3hzfwt/OPIyklpG5U/numVlLJqTLrwg41BZ50SlkgCIROWEYBu4GV8760rK0uM35D/UPMObTe/S5e2eMnvH4nzkdwz3jAyIhkW2cualFrM+b82Q9tHExMDnuzv2D7FJ5KAIBJPLuCJEpVJhsVgS77Ozs1EPWmJcIBiPyjonh05206OpBSDLlCnqgkyQiuIMLiu1A3CkzkUkKgMf3YznpRbziTkfJ1mXRE+wl9eb3+aJg89Myyf50bwY4zGWoBgQDb6InxvnXEe7txNnwDWimBh8nIHPFUjY5Ay48EZ8zEouEOsYCQSTxLgixGq1Ul1djSTFn8ZeeOEFUlJSzqnTt956i61bt7J582Z+8pOfALBr1y62bNnCNddcw8MPP5zYtrq6mq1bt3Lttddy9913E41Gz6lvweSTl6dCyTmKoo6iRDXMtmVMy5vkdMRuNXLj5UXk2SwEwzGON/eetk1NzwnS9FYAPBEfhzqPcaCrctqFFoZ7McZiJMEwkndiQNiUpc/nSPcxjjireL3pHUrT5p4meKqcNRzuruRAV2Viv1XZyxI2VTlraOpvxqw1k2FMH3H8ptuYCgQXO+POtb3rrrv41re+RXNzM+vWrUOv1/Poo4+edYctLS3cd999PP3006Snp/P3f//3vPPOO9x33308+eSTZGdnc/vtt/POO++wYcMG7rzzTn7yk5+wePFi7rrrLrZt28att9561v0LJp+OcCOOWCMA2nAaPbFOqpw1bMxfO7WGXUQsmZtBa7eXwyddlBcNvYkP3GgX2ct5peENwnKETn8XVU4tBx2HOemu58Y5103o5n+2DIiF8oyS89LPgPDoD/WTZkwl3ZCGUWPk8SNPkG5MQyWpqO9rwmZMR6/R8dyel4nIEQCO99bR7utgY946jvec5InOPxOKhVloK6O+v5nG/lZUKonStHmYNEaC0SAGjSExjgP/D9gAJH6rI7UJBIKzZ1wRUlxczPPPP09jYyOxWIzZs2ej1WrPusPXX3+d6667LrEo3sMPP0xTUxOFhYXk58cX6dqyZQvbt29nzpw5BIPBxKq9W7du5ZFHHhEi5CJjftocnjn+Eqhgefpl5Kerhbv7DCmbncbfdjWyr9bBxy4bGsbKMKZTnlFClbOGL5V/lv+p/B37ug5xZf7lnHTX44l4L7joG+nm7Ay4+LBjPxKwMnvZaeJkuHBRFAVZkYkpMnZTBh92+Hit+W2UU9u/1/7haf3W9TWMaE99XxP1fU1D2lq97YnXz558iWd5CQCVpGKetRiz1sRVBesTdg4XJYNf51iy2NGy87yJLoHgUmVUEfLDH/6QH//4xwD09fVRXFx8XjpsampCq9Xy1a9+lY6ODjZu3MjcuXOx2WyJbex2O11dXTgcjiHtNpuNrq6u82KHYPKo7DiJooqi+JP5xOpVWIy6qTbpomN2djJqlUSfN8ze6k4+vnr2kM8HREBZeinFqQWc7GnihLuOG+dcl7jRT4Sz9WiMdMOuctZw0HEYkFAAi9Y85Lgftu9jV8deHH4nKfokXmx4DQBZkRPHUEkqCpJyaepvGdJfado8rLoUTFojjf3NZBjTWWwrp76viaWZCznmqqWurwFZllmWuYi+kIf32j5AJakwagy0+zoTx5IVOVHwrdnTyqfnf4JXGt7EHXJzS8knAXi7+X1K0uaQbcliY/5adrTsFB4RgeA8MKoIqaqqSrz+0pe+xLPPPnteOozFYuzbt48nn3wSk8nE1772NQwGQyLnBEBRFCRJQpblEdvPFJst6bzYLpgYnS4fL75fz/LSTBRFYXv9u6CBOYYlzC4QT41ny9x8KzVNvdjSLaf9ptcbl5HUbmBJThlNh5qAJp458TeCkp+bK67HoDVMqI/9tfs54TlBksVAacGsCdtmI+m07dcbl6Foo6ckCNS6ajGaNAQ0Xp6veZXq7pMAvNM28lpUS7PL+Ydln8FuTsfl7+W7r/0rVkMy/3bNXbxx8j0OdFRSmlHE7WtuSexzFasAWFZUmmjr8nZzsP0oP1nwHQAOth9lUXYpRx215CVnk2ZKZUfDBzxz9CW6Ay5+cehXiX1/Wfm/XD17LTsaP+TZuhe5ZeENXFm0dsh42yxDvwtxvZkaxLhfnIwqQhRFGfH1uZKRkcHq1atJS0sD4Oqrr2b79u1DZtx0d3djt9vJysqiu/uj6YZOpxO73X7GfXZ3e87dcMGE2bG/hZqWPrzeIF3hVkKaXpSIltxsLdXNjcJ9fZaUFsRFyOsfNjHLbhkSklFhYFnqMgjA5nlXsKftEAAv1r7J7pZDfLn8c+Ql5YzbR6FhFp6kIIWGWWf1dzPgScmxZNHqaWdBeimg8ErDmxx31XO4q3rE/SQkMk0Z2E12nAEnILHavop3ju9NeE/uW3knaknNidYWOnpd5BhyRrRzuDfn3Zb4NFyPN15VduB1woPhh4rkclx5feztOog/GqA4ZRYalYbqnlpeObkjcezfH36Wp468wBzrbD4zfyuSX0934KP+ZWOQd2v3izDNJGOzJYnr/BRxruJvQovAnI33YTSuuOIKvve979Hf34/ZbOa9995j06ZNPPbYYzQ1NZGXl8eLL77IJz/5SXJzc9Hr9ezfv59ly5bx/PPPs379+vNmi+DCUFGcgWII4ozVcMhZBVrQhFPplpupcpqF+/osWTLXxrPvNdDY6eHwyW4+trxgxO3K7PPYkLuG6p5agrEQ3QEXvz76e3648juoJNWYIZeBGSwDs0BGu5mOdoz323ZzvOcEBo2ehv5m/nLyb6ftm2FMZ661iGA0yFUF67GbbPQEe6lzN5JjyeLd1l14Il52te8mFIsv3Lcxfy1GTVx0DcxiKUsvHdG2gdCUN+LDojWTY4nnnw3P7Rh8DlXOGrr8DjYVXnUqPFNLSeo8vGEvLd52UnRJqCQ1voifsBzmeO9J7v/w3zGo9WwpupbyjNL47B1thKOukwmbBQLB2IwqQmRZpq+vD0VRiMViidcDWK3Ws+pw0aJFfPnLX+bWW28lEomwdu1abrnlFoqKivjmN79JKBRiw4YNbNq0CYCHHnqIe+65B6/XS1lZGZ///OfPql/B5GG3GklV+tlxuBKfthNFkViWsYzCdJ1ISD0Hcm1m0pMNuPqDJJnGzqu5suBy7CYb89Pm8N+Hf4vD7+Tdtg/iN1VPG56wl6OuGmYl54+YNDreLJDBn5dnlHDQUUltbx3Heo6PaI9KUrEoo4zri66lpufEEPHiDLioczcm2tIM1oQ3pd3bedpvZqT8kwEG1/oARpwdNCA6fBEfjf3NeCM+AGYlF1Bhi4dx1Kp48vTqnBW0+zqZnVxAb8hNlbOGUCzMC/WvABCMhXjmxN9wBnro8jtYkHX61GCBQDA6kjJKrKWkpARJkkYMxUiSRHX1yG7V6Yhw000+nbFWfrrjcSJSAMJGbph/NdfMvnyqzbqocbgDPLm9hqONveTbzXx968IRi70Nd02/0vgmL9a/mnivU+mwGdMIxcJoVBouz109RGiMNKtlcJil3dtJjiWL2t46ZDmGI+DkWM9xQrHwEDtWZi0jx5KFVqXl8txVqCQVO1p2ctBxmCRdEjfOuQ6A506+jCfiZa61+LTk1cE2TSRhdiBhdEAIjHTsAQFVmFyARWtOiJGBfQb3M1q/jf3NuIN9/Ln2OfrDHvRqPaWpc7luwUaaHV1U2BZg0Zon9sUKzhkRjpk6Llg4pqZGlC0WnD1P7P8bESmAEtGyJGMhhaYi3tzfQkVxhqiSepZU1jmJxhRUErQ4fPzvK9X8/ebSccfToNKTqk+hN9QHQFgO44sGSNElMc9aTJrByutNO9iYvw6tSpMId5SkzuPF+tdI0llI1Vs56qpmd8c+kMBmzEBWFKpc1Yn6HCm6JL619Ksc6DrMMVcNBUl5p3lRyjNKhkwbBvCEPSTpkpBgVO/LROtzDPaSZBjTE7ODfBHfEM/N4G2cARfmYQJloJ/R+p2VXADJYNQY+a/DvyIUC3HIWcWhd+MJ/YXt+dyx9GtoVROKeAsElyyjekJmEkIhTy6esJfvv/djFBRSpRw+NncFMUcBh0+6WDQnnauW5U+1iRclDneAyjonx1v62FfjwGzQcOPls08bz+FPhQNP8xatmZreE3zQsTfx2SJbOY19zfSF+1mVvZw8cw6+qI8On4NwLJwIr6QZUglGg/ijgRFtm5c6h8/Mu5FMs31cr8Xgz4ERX5+tJ2Q0Jrr/SB6fgZDQaPs19bewvfEtvBEvbd6OhEeoICmXZZmLKU2bhz8SIFlnoXpYKEpwfhCekKnjXD0hQoQIzisOd4AnDrxIA3vBn8InKzaw0F6KHDJRWecUnpDzQL8/zHcf3UU4KvONrRUsnWcb8vlIF+TBN+GT7gaer3uF/vDpfxdqSU1MiY3at4SERWcmz5KDTqWlzdvJJ+Zcx2J7xVmfz9kKjPNdpXUwg8M6Z5JgarMlsb++mkcOPk5gmGAza83kmDNZbKsYUtDtQp3DpYQQIVPHpMyOuZjp7vWfcRhg4IlT3DDPnL8de58GeR+oIN2QzpWF6+IfGBEekPNEsknHxiW5vLa3hWONPaeJkJEYHlZYlb2c99o+YFvt8yiKQpLOQn/YQ0yJoULCZspAJamw6lNI11vpCfVRkJyHWWNioW0BGcZ0drTsxBfxsa/rEHlJOWd9Ez3bUugXsoT6WMmv41GQlMd3lv0TO9v3cMBxBPepMJgv4uOEux5ZkZmXWkSOJVuUgRdc8sx4EXLkpJPDJ+OLTU30JlhZd+b7DHApPdkMP9cjjmoOBF6PL4sY0fPphZun2sQZy+qyLF7b28LeGgefuWouGvXYa1GOdFO9PHc1q7KW4wh0c6K3Aas+mUA0SEXGAiy6eFLljpadvNe2C5DQq3WEYiFUkoqN+WtPy+8YntQ5Uc72hn8uQmE8BqYqnw3OgIuanpNUZCxAp9IRk6NkW7J4ovrPANT1NfKLQ7/ma4u+SFFKId6ID1/EhzPgmvHXDIFgODNehJTGaujPNzGvOAO530G0+QiagoWokkcvelZRnDHk/8GM5yW5lJ5sBp/rhrw1/LHqbyABnjS+uPQWOttV2IwB4U26ABRkWshON9Hh8nOssZeFxWPfvEa7qWrVWnItOeRaRi5kVp5RgjfiQwLmphYPmTI7OPFzpKTOiXK2N/xzEQoXAmfAxf7a/XT2umjsb+aku55QLERZeimBaBC7MQNvxI8/6qcv3M9P9/4cs9bEmuzLaPO2Y9aKGjqCS48ZL0L2Ow5SZM7Dbl1EuGon0ebDAOjKrwZG9lzYrcZRPSDjeUnO9OnsYg79DD7XamcdHpwoES3/tPBL+Pxw+GQbIMIwFwJJkli1IJNn32vguffryUo3ndXvZzzPXYYxneuLrkm8n5dafNrnAzfOC+mZuBioctZwwnOCbEMOhckFBCJ+TNrM04qk6dV6fn7wl3T4uvBF/Lzf9iFl6SWkG1NPKxB3KXlWBZcmM16E1Bu1BM16cgBNwUI8gQjV/TbmueNP6Gf69DbYSzKSZ+VMn87OJfQz1Qycq8Pv5JdHngQJdP2zsadaSE8z4/UGR/QmCc4Pc/KsADR1enj3UBupSXoqijPOKFFseHXRidzsRrsxTjfPxGRTnlFCksVAoWHWR1VdTR9VdR08NmuzV1LlOkZ/2Eu7r5N9jkMcdh4lzWBFVmSuLIjX1LmUPKuCS5MZL0IWFa1Gimjo6PGwt85Boz9CwOEhpHeyaIEpUV1xtOqLo3lJ5H4Hwd1PowTiSWe68qsnHO4ZzFihn/FsmQwm0u9ju58nKgWQ+9NJC5RRWefkM3PtF52outhod3ox6NQEwzEaOvpp7ornhZTNnfj6SgO/+8F1NMa72Ykb48hkGNMpLYivZTPYKzTS31CFrRRJkliQPp/jvSfZ2fYhLd52uvzdvN68g3ZvB6kGK3NPeZ4uVe+SYOYz40VIXWsrr3a+hZFklKAJrSHGHFs+i2UPlW0qmrwtI65B4XAHeO7YB/i07UD8YjtYZESbj+AM9lJjUrM4swA7EG0+clq4ZzzGCv0MZqou/OP1+8bRY7TLtUgSZBhsmKzN5OWNvKaJ4PxSUZxBh8vHWwfaqW3p4+oVeWfseRq8VsxAwa7xuNTDLmfK8L+h4aLEbsogGotC5z46/d30hz180LkPi9aMPxpk65yP0xtyj7mWj0BwsTLjRciB/kMABOgHQz9BoCroos8tE2lPoaSwjPmKgSP7/0SVCtJ8eazQe6iN5NDbZiU196OLbe/x/fjrDmAKREidv4wT/maOyn4aT9RyozafjIKFQDzsM8D5yPkYvB7Ghbjwj2XjSDcchzvAm0dq+TD4PFGNF0kCKWShT9WCV5Y56UtlHeIGdaGxW4189poSqpvcdLj8dDh92K1GOl0+dpzhtPQzCaVc6mGXiTB8bZ3B/48UAhvwjCTrk/hb3as4At14Iz52tL5Ps6eF+dY5iXVuzrW0vUAwnZjxIgRgaX+AA8kfXYwjOpl6HUAfyc1v0X/Qz6/yU4lJErnd9WT3B9CnFHK52sR7dSY+ULuYZYOmgIUOjZqKzlaKs8vwSZcRCx6jub+HD0/U8Xcryk/zgNQeqyVy8iC1oSXY1yxKtDvcAWqP1VKqbSd1/rIxwzeJ+LIln+S6g8hnEO6ZCGPlpYx0wzl0wsH7Xe9BuhcApS8DdTQZfZIXvS7CjK9+N824fs0sHv/bMerbPbQ5fWzf00x3b7xQlgiJTQ3DS8MP/hsaLQQ2sM1S+0I+6NjHttrnCMfC1Pc1Ud/XhE6lI1mXRFN/c2KfwYgwmeBiZMaLkBsooUF2U+yVqbNAUSBCvVGb+PyoxcBRiyHxvt3m5vepkBk+ijWi0Jyro9m7C3udFYPZR9isEIi62fPBn2nzLEGfrqBJcqIOf4Dcb0eVbB/iWSjVtuPXtWHSZgJxESL3OzjxwatU+9pIkSMkGbUJ8eJwB9hV2QESrCnPxm41Ji5a83pcRNtOABML95yPKckDDDxlZesKeLHlRUiPXwhznJvRp/XSr26jPHMB9qQU4aafZFYtyOTV3c00O7y8tKsBbzBGskkrkoKnkLG8RRMJga3OXs7q7OV4wl7++/BvafK0EJbD7O46gEVr5uqCDaftM5EwmfCWCKYbM75s+1vHXueNqjfI9SjkKgp601KiyR7elrvwBkNE5DB+PCgSSIqCIkmjHksfk4lJElGVhCYG6f16lvaocKdFWSXpSc1fwdFwNgZnDXtCKejyYmwozKK17Qh5GSvo7pQp1bZjloK87TjCEY1EuTmbzRU3oEq2I/c7OLrzHV5pSaFPSubKpblDnmTHExXDPw9XvUG0+TCagkUTzlEZYPjFakfLTvZ3HqWp003M7ASgInkZX13+6REvbKKM8uTyQVUnj794DHuqkRs2FFOclTStp3yfTRL3xcD5/N0PXsemzdPBYWcVJ9z1QLwE/Ma8tRjVBipsp+e0jcbZlqOf7ojrzdQhyraPQ0XhUhrqDhH11JPuVejobSEjmsGSpOXs6m+jLHU+LpcMPhcfV71Ln8ZPBAOHrRrqNWEWyib8sTAHtCFCg6pSRtXQlRrilVRQKQqxHh/FVa/Rb4jSrlZhlPQ4+o08U52C3qDCWfMa+d1u3k+WWZFbzqLcJRjNespzl6M6tZLn7srnsXhaychOJc+6kbw81ZBkNFWyHV351XFPy/4W8lLdtDr3UjF7HXbbvCE5K+krNidyUwbnqIzESCJiuGtX48ukob4KOd2FBCzNWMI/VNwsnqymCStK7fzl3TocvQEkpAsqQM6HgDibJO5LjcF/g1cUrGN93mpave38v0O/whfx8VLDa+jVOqJylI/N2jihY4qkYsF0Y8aLEJs5neSM2VSGetCnJFPUZyI70kAOkKtTkVWURs98NQcO7YKAltRwJpVhA4FoJxnGJJIy15Bf3YriP0Yomo4+qwSLuotA1MXBSDcxCWRJYk+6jj3pAB+FeowxH7qYB3NvlGBY4U2bDqdOzbv9lSyK2LkmrQB9UpBdLXW83fEGwVg/OqMGlTnCKv0BOjy5VLnriHUc54qS6xMX/Mo6J3urHdQa38Fr7CYYifFx2zyqIzl4w11YIjmsg4RoGY2Bm0mVIcZRbwsQFxwOd4D+zhRs5hx2tRzgpeoP8PijqDJ6kCSw6bK5PP8y3mndhS/io/FUjHpB0tJEGOpc1bHgzNCoVdx69Tx+8ddKnnzlGBWz1mA2aMff8QwY+L3IQQ+yI/5EfrYCYqIC+UxtG08Yne/tLiQD1WoHSroDNPQ189mSm3ip4TW6/N2EYmHebHmXZk8rWWY7K7OXjfkwIJKKBdONGS9CAMpzl4PeQnlGCWmRGL3H9+PocJAfbUFX7eDo7Dm40lVURe2ozHm09vQQVDxY9Slk1J7A19XHLDkVvcVMn1WhKSajV2dRGDJh0ZqYL5nZ6TyGSw6gUmmYFVTToA0QUKsIqFX0aTVg/sieKFF269vZ423DcvADfCo1KlnCoKhIj6hQ+n2ouvs43tuL1aLB43XQWfMm6M3UmvXk5ZVzvFmHs2c2SZEYwaQCdrTsxJSfSjMZbMhSEa56Y9wL6MDT6LzcuZBeSnlGCQ53gD/uOEi30oxsdNGvawENqJPj+8w2zeVbl32RnW27OeqqpjC5gLJT+x4+9lGC65nUqhCcH5bOs7FgVirHGnt591A7y0rs57Ua78DvRW0vQlOwaEQBMdGb92CBfD49K0rQg2RIGvVYo3lghtswHTw1GcZ0LFozR13VmLXxC8hAKOX2hX/PB+17eb35HTwRLwe6j2DtS0Gj0nDtrCuFh1Jw0XBJiJAMYzoLkpZy+Fj8glypKqfeV89GpRNTsJvc5GzIWYQv4qO29yS6FD1lyStY4gkS8u9kd0aMsNrEOlWUtEganRIsCEI4dQ7lucupctZgcJ+kMBjGHEsn6C3li8Yu/OlRPog4qI25SY5J5AZjLO3zcjjJyglTjLAKPDoJkJEBLzFO6OM2nyQMdKH2gzkmccRZRWHQQ4/JQnCenuvXLeXPe9pINW9ESu/nw9YjpJvNRExhWp0O8p29QPwCGo3J8UW1emuHXJQ0BQvp6XXR19RLuqGQZ/bvorrOT0Ddg9bqRNF4kQBiaqzhuXxxxcdJ1iXz7sEO8vJmQTpDjldRbDr1v0iInCquvayAY429vLa3BVCobnID52eWzGDvxWhi4Wxu3oP3GajBM1YfA4JBlZaL3NOGpmBhwjY56CE2Rv8jeWAGFx4cEDGqtFw0nD9PzdkyUvhk4G9uS/Em5qQW8fvqp3GH+nCH+3iz+V1S9Mkc7j6KLxKfvSY8H4LpzIxPTAXo7vbw5v4WDp90sWhOelyI1DmJ9DmgtRLLnCWsW7MIZ8DFcydfxhPxssS2kPUpc3mr8hl2hTtBq2etLhvJnEJVx2FKwrCxYD268qvj+9U8S3NfM5LaSK66ghsXXEWGykO0+Qj9mbM47G/n/aYjxHptpCn59NBMqd5CbqwFrdxOo1ZDi6LQZPCPeh76mMwcf5hqswF52KKp+rBEqVtHwF6MVq3hKoMRtzWX3V0d1DYE0CR5yM1VaO8OoeopIlsF6qxjnJBczPWocKDHbYogaaJDjpscLCbFX4pH3c7KvHLSIjG6GnbTl2/l+tLFpDQdRQF089YOuWmIRLGpQVEU/v1Phzje1MvSeTZKC60T9oScD4/E2RxjsKgIH30L2dONKsmGruzKhMgYfKyBhGu0BogEE16Z4cIEGNWW4YUHI/V7kYzJSKYUYq1H0RZfhn75J874/Kfid+8Je/np3p/jDvUNaTdpjNyx9KvkWLIn1Z6pQFxvpg6RmDpBBk9DHahS6nBnUJliZ96pz4avCqoyprN46acJduxHAhZlLyNcu5NoWKJUm/rR01fIhD26imR7DmaD5lRc1phYMC8ZWFS8hEBIJhSRyHI34EktIahL5Ui7mvSUGEvnbsDea+WLmQqVba/h8rkp7nDxlF1Grch4NBIhtYqjSYYRzy+kUzhkD6GLHSUiSxwLS8i+U/oyH8JAvRckE2Bqo37QvieSZSDAwLwgg6IhRJQVoTycnsvQZrYQUjlRpTgp7QvgtLTSp/RQ2eBlZcMJkEBlSBriXu9reg85df6Mmvkw3RmYGv7ZTSXc/6sPOVDbzeqyzFEFyGghiPFCGmMxEGaR+x2Eq95IiILRxIGkN6NEw0g6Y9wb4XeDohAL+wm88xskJGSvC1WyDcmUArJMzNkYFyBqLZI1G03BQiJNh4g2HUbV24Z29jIkUwqRmvcIn/iASEslxrW3DTmX4d6Xgf/DtTtB4qKqdZOks/CjVd9FAX5d9SS1vXWE5Qj+aIBXGt/ktpJPYdB8dN0QoRrBdOKS8YScL0Z60hvsZblqWT7OgIsPWyrRODSs0HuGFCOrfOVp/I4DtFkNlFVs5cCJd+iSOshUsmnuX0xqrputS1aTFokRbT6CkrcAtaSmqup1fhWsRKVAViiCXlFQkOlTawirIDUao0uvIawa5CJRFBhtyrECOR41ySEDJ9JDyCqZZFU6t8y/iflGPZ7mA8hpFRzpksjLU9ERbkzk1HQ2fEitWc+ClNkjekLCVW+g6jyKnFV2xvH06ZAQeCGYjPN6c38L9bX1bMjs4e3OVHY3y2SkGHjw9lWoT/0uhnsABk/hHpx4GmuvQTImY1h50xl5NCL1+1ClZiO7u4i2VkIkFA9zRMNIOgPqrPkovh7k3nbQ6FH6u0CRz/qcJUMy6Awo/Y6hH6g0oFZDJASAOqcU3dIbkLsbkH29KCEfst+NZE5Dv+R61CmZp43PWN6T0T6zL16NO2pmqhgQGKmGFH579CkicgSdSstS+0JWZi+n3duZSCafSdN0hSdk6jhXT4gQIeeB4WXPd7Ts5J2Gg8R6bWzIW8OiBabEk4fi8rFj729o0gUotc5hxbwNHKl9g8KQhgNBL+1pOpbkLhlycXDtfQV/3QG8OfPZqUTxyCep0KUhhWdT4zyGVclncw4Y5yyi7eBLhLoacaolOnR6Os0S+liA7FCUTr2aHo2KiCRhlGGOP0yXXoNPraLMH2O1lIYvM5dqTYwFkoWsBR8DSY0SDRFrr8GdWcCxYPeoT1CD3eqmiJPgWXhCzqS2yVSFD86Gkc7rTPseb3uHO0DXBy9SRDMeawk//tBCIBTj46sL+eSG4oQdA6GH0cIdg3MktEWXjfg9KCEfSjR86k1c7IYrXydy7A2IhkGlPnWw2DhnJYHBDHIMSWtEnT0fSaMj2ngAJegB9akZPho9xMIgqZE0OtDqUXzueNvgoyXbkXQmZGfjqQY1KOPYoDWgSs1DO2cl6oxZxNwdxBx1aItXosldgCLHkFTq077DkQSdtewywoWXj3POF5YBIWI3pfOn48/iCvaiklRkmeyYtEbmWosnvGLyxYIQIVPHRR2O+bd/+zd6e3v56U9/yq5du3jwwQcJhUJs3ryZO+64A4Dq6mruvvtufD4fy5cv5/7770ejmV5RpOGL0JVnlOANRJCNGVQUZ1DlPDCk5kZS49WYu/agVkqx2+axvquZ8NE3WaVWOJkxjxxLFjtadrLAYMPa1Uydz0RPOBeLZi43LsmjyplPeUYJcsiE/lgOpdp2orOK2R3sJph0Gf1OE41WEzdcdhWpKh9Hjr3EXJcLvzfMAa2e2UToVwfp1Vro1Wmwhn2Uen2oox6qYg5qzDpivjBJlW/GT0ilBq2BQ1YLNUY1UeN+Ns65FlVKFipTSvxmFA0TaTpMtGEfUsdxMjZ/gfBZPBGeydTN8zGD4WyOcTbCZaTzOtOEzPFstVuNZKzdgKH3OMbU+fxzrpZ/f+oge/YcZbFcSYd+NvML5mE2HkcJ9CH3tI18zloD2nlriHWeJBboJ3z0TaJNB1HnlCDpTEQb9hFrOzb2CZ8SH6q0fFQZhSjenrhXTq1BnZqLZEwmUrcbJRpBMqeithcN8aYpa25FCQcgGk4IIk3hUnQVVyOp4n//SjhAuOp1Ys4mpKQMtHllqHPLkFRqYs5GIg0H0M5dQ6zzONHGg8TajkIsimRJBxQkvTnukYkEkR0nCTlODh3vmnfiL9Ra1DmlkGRDZS8aElIaHtIxFS8lPDStatL5qL5IKV9f/GUe3v/feCJeOn0OrPpk8vNzWGQrxxlwiUXxBFPOlHlCPvjgA+644w42btzIj370IzZt2sSTTz5JdnY2t99+O5///OfZsGED119/PT/5yU9YvHgxd911F+Xl5dx6661n1NdUK+TBMViAD1sqkfsymF+QSke4kQUG25Cwxrt9JzjqqqYkrGK1s5eAbQGHVOUjJhgOPJ19kJFKjU6m0DSHdqcXn7adJVllAFQ2vs98j58VpNEZtZIdbUGXlIp38cc4FuwmW1uIv/IwRd3v0CsHOG5UMyugwu7vQyWB6tSTpEuj4rhJz3x/iPRo3IUuWdJRfL2gyEhJGSghP2j0JC9cT1CyoLbPQpLURDtPoskrQ52WC5x9vYbB7wEitTuHhIPOl3dhpPbhdTLOxasxfJ/RQiOqtFxi7TUogCanZMT8iuFjYLMl0VVXR7T5CH+tM+GvP8QiYzsOYzG68qu5Yq4+fuyUTGLOJmSPE03WHDRzVhPe9yzhI9tBjoKkiv+TR7irqjVIWiOKHI17QmIRkFSoc0oxbPwyxKLI7g5kd8eI393A+/E8LoPHafB5j5SoOp73LNbTSrSlEu3sj8Kjsd52IlVvIBmTiLYdjf+OVRrkoBelr3NoqEhSIZmsp8ZdhZSURrTpEJr8heiWbEGSJKwaH45DH0xpOHFwpdV2bycZxjT+99if8EcDiW2yTHaMGiM6lYaFtvKLPiwjPCFTx0XpCXG73Tz88MN89atfpaamhiNHjlBYWEh+ftybsGXLFrZv386cOXMIBoMsXrwYgK1bt/LII4+csQiZagYXCNrRspMm/0nKsrR0hPviTyzpsHFQJn65Nu7KXmCwoTE1k1qwkKsGXdAGi5q0UzeiPFMmdZ1NzM2ey6p8wxDRQ8jLvOQQKbNXkcJHSYGmZDt25sUv8tl6VGVfRHv0LWyBPoKZc+ns9ZOldKGOeFFnzCKvaAW5gX7CVa8j93XG4/1eFyCBpELxxMu5E/bTv/fl+M1rkMYNa3RoF1yJypxGtO0Ycm/bqboTs5F9bnRlV4Eio0rPTzztDn/6H/5eMiQRaz5M9FRi7MBMh8ipehbDZ+0MZ7SCbgPHiXYcT+RFjFUnYyQvxZnkF2gKFqIEPXGBc+qzaPNh6DiO3NM6JPk3MTvkFJG6PfGvAJAMSUQWr07sX6LO58+xXHLDPUhJWpZ43yNcGSPaUhXPxxiwv2YHvPPrU9+XhJRki3+fShQ0OlTJmcg9LUhJNnRLrkc7axnhqteJ1O1Bk1eG7O+LeyvyF6IyxovKRBsPnPbdDR9Tw8qbhojKsb6jwec9+DubqPdMnZaHOi1vaFtqDurLPw9w2myYaHs1kZr34kmuVa+DHEXx9RCp3jFku3DXScKVr6JOy8fvdyErEoocQ7/w2hHtGEvgTkQMj8fA9WZwifbvLP8G77TsJCSH2d2xn05/PIcmVZ+C7dSyDAOiRXhGBJPJlIiQe++9lzvuuIOOjg4AHA4HNpst8bndbqerq+u0dpvNRldX12nHu5gYbd7/YIZUNbTNO+0Yw0uq68qvpnV/C96WGK16mfnLhlZF3Dhn6MVw+E038RQOiZuCOuihUO1EbZ+bmCkBEO3rQl2wCNr1oDejK1qO7HESbT+OypSCpDUQ6zqB3NNyqjMTRALxm1s0TOTI9iF9xzzdxFor48c+/i4Q966oM2aBWgNISJZ0VNZsYl0nkcypSFo9UWcj0Vd/jjqjEHV+vE6EIsfiMyj0FmRnA7KzCQnQzls75pP0AHK/I+FV0OSUIHUcR/Z0E9z9NIaVN41ZJ2O8cMtoYz7wmSrZjmRIIlq/l2BvO7qyK9HAEE+IOreUaGsV6txSlKCHaE8rSl9H/GldrSXa3YDsbKTj2OtgK4ZYhKKed7krOV4vAt9JOA6RASNUGtSZc5D97nj+RcgHai3aeZejW7QJdEbCh7cT7ahFMlsxrv0sattsJI0Oud9BzFGPEg0T6+tCv/i6xNgO9lwMrrWhKVhItCMeCoo2H0mc90TDYKOJjYlUBh7uLZpQfzmlqCzpRJuPYLrhbpRYBLmvi0j1DhRfD5IxGSQVcncjhHzEOmoS+0aOvo7S14Fm7lo0WXOHHHek38Vov5VzCTkOX8n35vk3ArDcvphnT75Em6+D3lAfT1Zvw6w1kW3OJBSLJ/KO5RkRs2sE55NJFyFPP/002dnZrF69mr/+9a8AyLKMNGgWh6IoSJI0avuZMp1KiNtIorRgVuL94NcTZb1xGUntBpbklGGzxM9t44pCLBYDy0szsaWPn4vR5e3mYPtRluSUYV+8Gn+SHlPxUrSpWVBcTKS3M74OzUAb0LfvZfydRzHmzkG9aF3is/i2qcT8/YTaTpK0/GOYi5egNqWgMpgJO1vp378dX/WHKLEIGqsdld6Izj4Lld5I1O3AX38Y2R+vc6B4XUS9riH2Rmt2jHgesaaDaNNyiLbuJ9rTQczXd+r4emL+ENHqt9D4HciuNhSdAUmlQRV0oE3NxFi0FEmtJup2YMidh6fpOKHGfUgqCZMtg/RNn8f11u+RPb3oe2qwrvg4FBefZkOoqxGMCrqNNyZ+n6GuRihdTDBJjy6jgHDTe0PGMrJ4NT6jhDY9H2OyBpXeSGTxalw9J4n2dqHrPYlab0Tpa4RkM4HGSvwHnv+oU5X6tKRPpac1PlaBfnDHxfrgvxZFAaechDGnmJQkA7Upq6lYsYSsdDNKNEKktwPfyQMEG6sw9B4nZfl1RCzX4XrLRbTPiXTibZKSDYTbmon5+4lKMVQWC2ophiniJOWKTwz5nZiS9Ik2AGxJRNK+MOh3NfG/y0hvJ/7e45gWr06M4UTpa3qPcNP+eA6sLYOUEb7Dsfb1dx7FmKQnZfl18XOzJGNasjHx3lP1PpJKQq03Ewt6ibodxDxOItU7iFTvQJOahbGwHPO8y4j5+9Alm1BKl2OeuzwxBpEhf4Mfjcto7RNh+LUm0W5bxvy8AnbUf8hrde/gCXvxRLxcV7KRWEyOX1eSR+9rf+1+TnhOkGQxUFowa8i1JNNiG3W/C810us4LJs6k54R88YtfpLu7G7VaTV9fH36/n/nz56NWq/nd734HwHPPPcfu3bv5xje+wRe+8AVef/11APbt28cjjzzCE088cUZ9iljh6Yy0muZYTzgTeZoc7DrOLC4eMu6D9wdOy6kIHXmV6IldYExGdjWDJKEyp8YTGhUZJegFFFCpUaXlI7ua4nfV4TdjtQZiZ54ZKBlTUNmL49U2JQnJbE30fWoLUGtRWbNQJdtPzQxR4nUr2o4xUFlCnVeO2jab8MG/xfMHZi0l2lqFEg4gaXRoChYj6U1E22uQe1shHIjP+DDE62UgSfG2iWJIQlf+MZBjyP0OVGl56EIuvDW7UZnT0K+5jf213Rxr82EPt7OjOx2vxsoNiyzQ9lGhvgG6W5vprNxNVsVKbHkFie9uIHdDMqZAJIjaXpSoLDrcu3QhZhydy4rQZ+sJGdh3tJykkd7bbEm0vv5nwgdfiM8SUhRGqjoiJdnQll6BbuG1SAMzic6Q8zHOnrCX3x19ipreE0hI6NRadCodq7KWsS5v1YiejpFW2J7qlXlFTsjUcVFP0f3rX//Knj17uP/++7nmmmt44oknyMvL4/bbb+eTn/wkmzdv5vrrr+f+++9n2bJl/PCHP6SwsJAvf/nLZ9SP+HGezpC8klM1SXadWshupIvJeDeBkS7GA8mRw29Qg0MewwtYDQ4/DNwwFEVB7u+KHyt3Aeq0vLgoUanh1NTJWGdtfAaDHIWwH7m3Pe7GVhRQqdDkx8ME8kAexGChotadNtVzspAMFpSgjxHLY2kNSDoTUpINdWYxsY7jKLIMIQ/q7BLUabloS69A0g4tYDc8OXJgCnm+OUjlu+/wodvGImMHlyV30Zc6n8L1NyQSnofXvBlgvOTQC81EbrjTocbMwO8+XPkaUVcLKlMyyDLIUeS+TtTpBcS6Gz7Kn1JrUWfPRzt3DZqCRUj6ic8oOxdhNhhvxMePPvh3AtGh4rcgKY8FafNRSdKYC+NNh/CMECFTx4wQIT/96U/54IMPElN0N2zYwA9+8AMkSaKmpoZ77rkHr9dLWVkZDz74IDqd7oz6ET/OsRm4mLlz51Kblj6qJ2SsC/zwC6LNlkTb28+edpEcvB2QqFlhWHkT8FHS7Givx7q5DLch5u4k1lqFOr8iUYwKQJFj8XoZJ3YhGZLQLbyGyMGX4jkMs5YSrnodTU4J6twyIsfeAkmN7HWihIOokm2gKChyFMXdiSqjEJUplaijDrU1m0jdhxD2o86cG89F6TiOOjUXRY4h97TGK4SGvCixKNrilcj+PqKNB9BkzUO38BpiPa2okjJAlhP1Wc7UyzBwQR6+beUrTxNtPkJlKIfKYA7l+nY69EUsXVrC1SVGos1H6LPO40iXdN4WvZtMztdN+VwYfDMcra6IOq+M8JHtRGt3njbzSDIkocoojNcomb08nvtzFsXTzpTa3pO83bKTVIOV/V2H8EZ8AJg0BpK0SazPW8PG/LXTQnCMhBAhU8dFLUImC/HjjHM+M/DHO/ZYnpDB4mLwFE1giEAZ6fV4CYhnM+tg+PTYsY49MD13cDhiwHMDJCqNjlYI7FxsHouRQmGDC5MZVt6Eqz9I4/5dNGtmsadFptsdBGBzuYmrVbvxu3sxzF1JbO5GdlV2gARryrMvGjEymd6a0b6jwTfD4fYMrkSrK7uSaOsxlLAfub8L2VEP4WHrRmmNSGYrIKG2zcaw7vNIWv15FR8DomJ4FdXqnlr++/BviSkxrPoUSlLncHneahr7WhKhl/KMkmkjSIQImTouyim6gqlhtEz7M5mhMBojHWMibSNN0ZzI64naMJFzHj7rYqSL/OA1UaKD1lUJV71B7FR+i6ZgIdFTwiR89C2UQN+Qfsc67kRsHovB+wwkzw6fjWIrvxpbXgFt79ejbuuidFYq1Y29eE4coN3cSVAyEYjkEKpzsqfagSRBklE75gq8w6sFTyXjTeU9n0zkOxpuj9pehGRMThSKU5lSiDob0diLIX8RKksaKlMKse4GwodfRvH1orjjIZKoux1f53E0uWVEuxtAozsv5zcw064wuSAhLABsxnRWZi1lT+cB3KE+Puzcz4ed+9k06ypmJ89KCJCDjsOcdNdz45zrEkJkunpLBNMTIUIuIc6kGulkMfwmPNbrgUXRzsQ1PXCuqrTcIQuqjSUExrrBDN5W7negBD2JKpqDbzpKoB/JmHLalN3hdTJG4my+p5H2GbUOhwIgMTc3BatZT3W1B3xQE8nl75LsVORb8fgjIH208OMAw0VHZZ2TwyfjM5nGEiuTyWT8zs+kj8HbamFE0T34tyAZk5ED/cQcDSj+XoiGUXw9KB4nkYEqrhodsVPF5mKdJ87aKzJ8Gu8AVc4a3KE+rpv9MfKScqlyVvNu2y62N8arKLvDfRSlFBCRY/SHPVQ5axJ5ZMNLCAgEYyHCMYILwmh5CefCWDH/8fIBRlr+fbzQy2gzIMbrc6wQ0EgVQs93QuV4runBQiIWk3ny1eO0u/z0++LJuYVZSVy9LI9FczKwGLVD9h2euDqWJ2Q6eUkmwvn4HkYb+4mGQkf6jcj9DiINByASiM+qcjXHa+8AaHRIegva0o1oSzci6YxIau2E+h6L4d4MZ8DFLw79mu6A87Rtc8xZ3DzvRuamFo2472QgwjFThwjHCKY152N9lwHGevoc78l0sEdk8IycAYZfqCfiGZlI8azhxx3JM3E+x2giDF7r6M39LciywtzcZJAk9h/vpqnTw69fqkajVrFxSQ4Li9Kxp5morHOSY7MAH3lIhq+bNJjp6CUZiwv5PUy0GFm0+chpXjRVsh3t7KUEdz8NKOiW3oA6NZvQ/ueQuxtQoj2E9/2V8L6/gtaIKtmGpngluvKPxRcDPIvzGlIwkbh3IxAJoJbUFCbl4Y34cQV7iCkx2n2dPHLoMS7PXcXmWVcn9hVr0wgmgvCECC4IF8ITciEZy5NyLucwkRkbk+0JGcxwb0UoHOODY528ua+VNqcvsV2e3YxRp+GyUvu4HpCB446W3DpdPSTTxRMymtdtcJJxYuq6q5nQnqeJddZCLDZkxWDJkIRm1hIUSR1Phh1UI+VMztUZcPFhx356Aj14wj4+NmsjaQYrVc4ass12PujYz76ugygoGDUGVmYtZ0PeGo65jnPQcRidWs+s5Pwxp/meK8ITMnWI2TETQPw4J5+L7aJwocTSVIiw8zH2wXCUx144xqGTQ93vNquRkgIrFqOGFofvtHoiA4xWb2T4ZxXFGQlBAkxLcXImXKjf/XhiJVz1BuGjb6JEgvFy8pHgkLWB0FuQdEZU1iwMaz5LtKVywtOZJ1KM7PmTr/Bu2y6Cp8q+J+uSuKF4E4ccVbR7O9GoNCzNXIRFa74gnpGL7XozkxDhGIHgPHA+ZghN5nEvBMM9FJ+5ei75djM1LW7q2/qJyQrd7gDd7gBqlUSuzYw3EKXF4SU3w4xKJSWOMTxsM5iK4gw8/gidvX4Ov1ZDOPLRc9DFFL4534wlWMcKEQ4sfqjOK0PSm9HklBCqejOeL6JSI7vbIeRFCXmJebrxv/Tv6Fd+GnXWPCRL+qjJ3gOMtN7VcNbmXkaX38EJdz3+aID+sIcnq58GQEIi15KNBBx0HOaoq+aCe0YEFw9ChAgEAuD0HI7KOicNHR4uK7Fz52eWEJMVmjo9vLG/lX01Dpq7vDR3eXn+/QZMeg2zs5PwBCI43UHsqUYWz82gpqkXRVHITDUl+rFbjSSZtOypdhCTZQozk8ixWTje1EtRbvKIwuVS4ExyN4YsCth8JDFNfGB2FkEPqpQsDCtvQjKnEtrzFyL1eyHgRvG6CL756KkjSfFpw0EPusUfjy9MOKxA3vD8kJHIMKazde71VLXtI9vTz1+CjbQFugFQUGj1tqNX61AUhS6fg55gL2atecTjiim+lxZChAgEAuAjr8VI/2vUKno8AVocHnIyTMzNS8Go19DvC+P2hnF7Qxxt7E0cq7HTQ2PnR+7xXJuZUDhGkknLnFwrc/JSWFicRo8nxPVrZnGixU19ez+L5qQnQjGDvSrHm3onpXjacG/QmeavdLp87NjfclYhpTOZ9jtWnZuRVnvWlV2JpNUT8/Wg9LajBPpRwn4I+VECfYQPPE/4wPPEV/lLQva50RbFK7aqM4uRdKbTjRhGhjGdNUE10Y5mvlOwhIb5s/h/hx5HOVXKr66vEYh7RopTZpFtzhwxcVVM8b20EDkhgguCiNFOHRdq7AdyOYpykkkyaens9XO0vpfLSu1Yk/S8/EET0ZiCQaciHJGZnZNMJCpztKGHmDz6ZcZuNVI2Ow1Hr59cu4V+X5jrVhVyvLmXQyecaNQq2pw+1GqJq5fljRiqOV/JrsNzWYaf83jH3328m52H2kbNlZlMhlcnHqj4O1C11bDyJlCpCe17Nl5CfqT1iwDJnIZx07dRpxdMuE93ZgHHgt1kGNPINmfyRPU2uv3dhOUIgWi8Uq9JY0QBNuSuZkvxpsQxzsYTMvg3Lzwpk4tITJ0A4mY4+QgRMnVcqLEffqN/7v169lY7WFFq58Z1RSMKgTf3t3Cgtpu0ZANOdxC3LwQKBEJRguEY4ag8Yl86rQqLQUuPJ5RoU6skUiw6cjPMqFUqstNNlBelU9/upqqhF58/QmaakSuW5VHb7AYJ5hek0t7tnbA4Gc0T4glEqG/rPy2ZdvgxYyoVO/Y2TYvk2uHrNA1UbY31tqME+tDklMZn0BQsRO7rItpegya/nOB7/4vidSHpjChyDEI+QEKduwDNrKVoilagMiaP2ffwZNbBwuCVhjfZ3bk/4SEB2JC3hutmfwyLduQF/EYSFoPbSgtmJX7z02FV30sJIUImgLgZTj5ChEwdkzX2E/E+DN4G4Jm3T9Lvj7CixMZVy/LxBiL88vkqGjs9ZKQYkBVw9PoJReLiRAJMBg0GnRpXf2jEPtQqaYinRQI0ahU6rYpksw4JyE438bEVBczNS0GSpHM614HcmcEF2wamI29ZPwe1LF/wacgTOf5InpDhXhH5VC5JvO1wYvmBSO1Ooo56ZHcH+N1DF9qTVKiz5hIOh/GFYpjSskhesQV1+keeH0d3LZUN71NmLyfN2z8kNOQMuHhq36/oCPXSpxoqQpM0Jpbr7JTmLqMkdzlqlRoYWVgMbrtp6SbhCZkihAiZAOJmOPkIETJ1TPbYT6RmyFjTcId7VN7Y18ze6m7mFaRww7oiNGoViqKwp8bBsQYXJqOOmsYeej1hvMEI8ikBolFLRGNjX85Meg0xWUkIF7VKQlKdylPITcaeaqK6sYfyonT6vCE2ryokz2ah3x/GF4iQlWaizenjaIOLJfPs2K1G3tzfwpv725Ak+Lv1xaycbxtzivL54Hwcf/ACewOLMA7UEhmoS4JGh5RsQ+6qi6+FFA5ANMxpoRu1Nu4hSclCbS8iXP0OSqAPyZhyWoViud9BZ82bHA10odUa2KcO0hvx4g73Dzlksi6JFVlLKE8vpba3DglYkTQLa1czmoKF9GjVI3pCBJOLmKIrEAimlPEqow7/fPg2a8qzSTJqEyJl4Rwb3kAUJOjxhLBbjUiSxMrSTFaWZvLm/hb0WjXz8lO4bs0s3t7fQrvTj9mgYXZOCmvLs6hs6KGhvZ9ebwh/MIIENDu8+EPR4eYliNsYt7O1O16o7Uidi7l5VqoaeojGZPRaFaGIjMWoxdUforPHj1GnocBuwReKC6KGjn5c/cFRZ/qMJtrOxHsyPHn4bBi81tHA7JoBb8Xw5Fa530H/K4+g+L2otEbUZiuxcJBIJIpOiiGFfURP7Pro4Bo9kt6M0tcJOhOSJTXxUbT5CFZnO2u1BvD5iGWkUmOxsMKylK7+Vnq8XfhU0Bv28Gbzu+xo2UmGIY2C5Dxe66zG6XNwbbgHW+lVY56f8IhcHAhPiOCCIDwhU8d09oRMNDQxVkLoSHkbw8M8I9nw9Fsn6HIHUGSQVGDRa0lJ1oECBp0akNhb48AfjJ4W4jkbbFYDpYVpdLh89PnCmA0aPn3VXBra+zja0Mv8ghRKCtNoaO9j4RzbkDDPQNgnx2Y5o5yWkc57omGbkRZ3HMyeHe9gqnsLqxFSLfohOSXho28RbTwAiowS9ED09NCZlJaHdv56ZGczMb8b3by1EPLhzixgj6eRgSBZY38zOpUOd7iPYDREp98xot2zkwvxhj3kWLL58spPowoYhnwuckMmpzqxCMdMAHEznHyECJk6ZsLYj5QQOrxcPDBmmGc0seLsD5KRbOBTV8wZ1RNhSzEQkxVqmnvZVdmBqz/EnNwUTrb1YTFqWTArja5eP/VtffR6w/iDUQoyLfiCUTpdPsbTL4NFjlajIifdRFa6mRMtbmxWI1aLLj4jSCWhUkkUZFqYm59Kl8vHvIJUymalTWgczyRsMziR1Z23dtTxXJipoOo4SnUkh/S8Atq7vSzMVDBX/y2e8DprGWprJrLPjSrJRvjQi8Taq4d2JqlAq0eTVwHAe1EnNXqYlT6P5NR8cixZ1PbW0ehupjfsJhILoQ766CaKMiylx6DSMTstn/LUMpbYF5Gij98UB8rNS8Dc1GLavZ1jekXOxXMyXb0uFzosCEKETIiL/YJ8MTITboQXKzNp7IcLicEXVWDMC+xIF+CxQiED3pSSAitJJm3CCzGSN2IkQVNZ56SmpY/5efHcklf3NGNNMuDo8aPTqujqCdDrDSEBsgJ6rRokCIVjp9k+HqlJetJTDORmmOnzhXF7QthTjeRkmHH1BVCQ8AUizC+wolZJCaH23uE2IjGZK5fGx2PwWHS3NtNZuZusipUc6ZKGeKIGjwF8lGCcbNKiDfawyuqgdFH5iJ4Uud9BuPI1Io0HIOQFORb/NwiXRsVxk575/hAZlkxQFD6wpVNp1pJsSuc6OYWUpqNIxmRaF6zmqZY3sEUl6kNOAtJHtzC1pGFL0TWUpZeQZbbzTssujvXUoFcg4HVRkb2Y8tzlCXGyMnsZEK9N4vC4qXY2sCyrnOvnbTyj72O6el2EJ2SaMFMuyBcTM+lGeLExk8d+vCTX8T4fjTf3t7C32kGyWUeOzUx9Wz8GnZpgODbq+jcD2w94VBzuAA1dXmZnWk6bQTOwzxv7WpEk2LA4h4+tiNfdOFDbzQdVnXj8YQqzkznR7KbHE0KnURGVFVAUTAYtvZ4QkWhsXC/LcLLTTRRlJ9Pa7aWpywvEQ0VpyQb6vGFyMkxct2oW9e1uDtY6qShOJz8zieqGHpq7PYQjCklGDR5/JDE+NY29JJt1XLEsj+jRN8iPNGAqWjqiB2WAgbCPOq8MUCAcJOZsRAn0E6l+B8XfO2R7l0bFcbOeUr2NDEMqSsiPypRCf8ka9vqaUUJ+ZkVVvK24aPB0IUc0RDXeIcfQqbSoFBm1IpEfgGvTl9Gem8U7rTtRSSouz10NwFFXNbI3hW6XzPKcMtaUZyc8G8CIrwd7PCbTEzLdFoAUImQCzNQL8nRmJt8IpzuX8tififdjMCOJl7HyMUY75sDYj7SK8PC2gX48gQh7jjmQJMjNMNPvCydu8MebevGFIgCYDVrmF6RyvKmXZIuOZKOOPdVdtDq8aDQqorJM76lpzGajFqtFT3OXZ9wZQwMkm3X0+8JD2lQSaDQqZFlBr1WjUauwWY0Y9WqKclKIxmTcHa3YA3XMX305LT4Du491UVqYyg2Lk0ZdC2dwNdyBMU6X+ql9dzttPWGKTR5sKjeKq/k0O3clG/kgJZ7/sdynYp0uE33WbLZ5vdSpW5GVMEEUAnL4tH1VihqVpCJKhFR9CrOSCyi2zkJRIFdfRMOJBmJSNUpaBk0hF2XppQCJ1YBRIKyEWWJbSHlGyZSEYCYjxHImCBEyAS7VC/JUcinfCKeaS3nsRyuYdr4u2uMJmsFjP16/g5NvgRGLqw2e/nvl0lyAIR4Y+EjIDPZOtHd78QQinGztQ5YVevqDqNUqbrl6Ls2n1v+JxmSy0kzkZFjYV+MYc+bQRBmc67LRdJxyXRudxmKO6haj16rIzjBTWefCH4oSicpk6XwsNHSQPHcJ69Ys4uAJJzVNPVxjrcPUXU1zNJX9nRrm0ERydiGzdL10tR3mgMWArFKzvN9H+qmCdy6NigMWA0gKsqSixaAlOQbZGgsNZjPH5T5ijFwcz6pPIVlnwe/rIRINYdaayE0pYH5URSw1hwN99TgDLhQgPyknvk7OqfLyAyGY4QsQDs5JmchifRP1cEyVJ2S0BRbFFF2BQCA4hd1qPO2Gfz6msw4w3nTkifbrcAfw+CMU5Safth5OaUHqkGN4/BGQPjrO8WY3/f4Iuyo7EjOHgMQ0Z7vVSGlBKg53gCRjPJ/j7f2t9PsjdPX4WV6aGa9UO8hLk5NhZF9NN0U5KYACEiiKxOzsJEx6LYFQlJ1VHdisRlx9QdKSDURjMunJBnRaNXuOddLa7Rsyo6gymEM0plDdn4ZLjodaDp0auwEWxerJiLZSvTfIM/s98XMFDqoirDaqMRn8mCMxNOoQ1R1hnjesYos+yopwP4dCeZyI9qOoO/Fb9DSqvcjEaDOoyQ+EWeANMd8fIj3q5nKgW6PieXsyDq2agmCEiEqFy6DHo1HhDvXhDvXFjVJBX8xLe88x9gL0Vw2x2R8N8OSxbaTprRTq05nX4yKqrqbj6KtUh7opadmP3TaPKquJg84jgIRZa2Z9ytxRPUMAtcdqcTfs5kWflb9bcdWooiVD5eFy/XE0Kj0wcREy1irNE6Gz4UOqOg5RHvOTs+jvznj/0RCeEMEF4VJ+Gp9qxNhfOM7EEzIW5+KdGW3m0Fh2jmX38DDRSBVhR6sWO5jOHj/vHGojPzOJwyecSBJYjFrq2vpISzbQ0x9EUsUTZr2BCAuLM+hqaiIv2kh1JBeXnIReq0ZWFCJRmXX6Gsq0rTRGM/AphsQ26SoPpdo2qiNxz9ByXR0BWxfdSVHsgRjuaAazFCvdvUbMMQ+XG2qxqIKokYckwKZHZXYlGzlm1hGVJGIS5ISioNbQpFMhSRokOYYRNV6Lha7o0HwTACNqZEVGi0RUkYkAVlnh4z4VHbbZ7I/6Kc0o5qrZq4mc+IDK1n1kB03krroNW14Bcr+DSO1OFMAXjPCO4xAnjRIL8lZzWf5VQ7/D7lqO1L7BvH4P6ZEY2qLL6C9eQpWzhmzdLFpb5TG9I669r+CvO4CpeCnpKzaf0W8OYMfJV6nsOMRsaxnG8KJEX8ITIhAIBJPESJ6Ws+FcvDMDNgx4OkY6xpl4bCrrnENWMB5u2+BjjWa3wx3gaIOLK5bmYbcaWVOWlRA3i+ZmDPH2DAiwzFQjOeklNHTmoer2kSbLzM5K4opleRxr6MHv0hANaViaauRtdwHZqhTmmrRU1mn4MJKMxaRFr1MTCXUwJwhqtQ6VO52soIosTTuuaB6vhxZyIDybUm0bPTEza/U1zAr6aIul8XY0hzyllfm4sYdi1GstLA8EsMXiM3eGChYHrXoNelmhRa/hPauJbp2GgCoWn+F0ynsE4FJJPJGiQLgegA+7HHzg+BBQMOtk7LEAWYf/yOKWLGZHVUTbjoESw5CSRUHMQK/fR3Kri0OhLirrenD5+kk3JxMMvsPJ/kZiIYUF5lzqDDEcDR9S7WwgVXER7SwY8fseSJoNhpKIBrLpabKwaW5gQqGcwd6T8tzloLfQ35nC4fqJ/bYmwpR4Qn7xi1/wyiuvALBhwwa++93vsmvXLh588EFCoRCbN2/mjjvuAKC6upq7774bn8/H8uXLuf/++9Fozkw7iafCyUc8jU8dYuynjuky9mNNbR584xgpgXa8Y43ESMcf3jY8GXXAkzOQE1Pf0Uc4oiQKzr25v4XI0Tcp07XhTpnH6/1zE9saIr2s0NVjNmjwJs+mp7WB1HnLSMvJ4+iR4zQd/IDqaB7OqAW9Tk0sJrNaU81c5SRdfi37TevoDJuRvN0stp7EaQ7S6JiDJ5hGrtrFtYbDNKcHqbLoMMcUrnKGSI6AXoqglWSSVEGiwFGzjka9lk6DGodOS7k3RKdeg1ujJqySCKhVpw+WosCp9Yts4SiZoShhlZoerZperURs+NpGClT0aZAVGZdBIkWjwaMzENWoSPJDT9gMagtzzSVsXrQk7jVpaeJE1bv05qUimXXUuhpR+7KIOvIJRxQK8lU45WYy1AUsm2ejI9xIeUYJcsg05LtuP/wCVW37SZdMHDbPZm1eKRntNTh6/GQsvQJbXsHF5wnZtWsX77//Ps8++yySJPHlL3+ZF198kYceeognn3yS7Oxsbr/9dt555/9v796DorrvPo6/9w67LDdZLiJiBEMNXqDGW2ol1AZ9shCMWqW0MVOn87QzJnTsTK0xTvJHY2utUyf2OklT204zk9tMiyHROM0Tn2nV6kiiaGIiKijgArtcd5e9n/P8QVjveaLCrqHf1z/sObt7zuG7y+Ezv985v9//UlZWxo9+9COee+45SkpK2Lx5M6+99hq1tbWxPmwhhPjCuLbF5mYtGNe2gnyebd3IjbY/8niiLYl3G9uioQO4riXn2i6jkfefCZRiNmSRkFPM1JZwNCyltp8n+OH7hDWQfJ+V6WvWRu9K+ldLGJd2JopOJd2sj477Misrl5T+yViTCjn1/iC5g90UWfo4k5VNr76Lr9gcFPl8fMi99FumMS/5Iu29pwiGB3CkGRhwTyWgTSTFECLL38JAUEvQl4lb50ZV+5jvCpPcm4NbyWO6zkWuphuLxkvIFCRdDdJj0PPWBCttiZf/7TqNepzG/+ffsAZOpl6+aLiTCKgBCEG3ATAMX2/TGDpNx3t76TcH8ekVUjQKQ51aFI0Gc1hPQHOeQDroVD0Ov4ZwSEdPsBG3J40WnZ+9mn9i1dlI7kjC89EgpYvKOZeg47Q+hCbQg3NgCJ3bwTJXOxONOhI6kwn2nyH05UUYUmyf/Tt8hpiHEJvNxqZNmzAajQAUFBTQ2tpKfn4+eXnDX/Sqqir27dtHYWEhfr+fkpISAFasWMGuXbskhAghxC24WZAYrYt2b7T9kXVX3gU0MiT9jd5zo+XMB2YDw7P8WruGt2NNNFA+bRaq343K5XluYDhUDXqDZCQnRO8SujLk/LNLg7s/hHsoxP3GSxSobXS1pxNMCFGkdJOhdpAM+NMWc06bSb4hnV73YfQhC42hQi75E8kyepmbnEDpvQkkDraRZ83nfbeZabY0Mhctwdc1SNj7LwydBizk0GGycNaqEg4VMcUwlQX6w7Q7z9AHXLSE8etAq+gp9CVxj2EKF3zt5AT76dVDhyWMJQheYwSTqpDvCzMUTsJvHmLQoEUL9Om1uPU6IloNHSkjw+Vr6DPqonUZMF4OMWE+vXVZDz0JKl7FS0CrQdFo8NCLIxc+Afa3NJMRDBPSaIiYwKP3cSLSjjXBhylkoO3iIfQahdVJBgrmVt72dyfmIWTatGnRx62trezdu5dvf/vb2GyXk1RmZiZdXV10d3dftd5ms9HV1XXL+7zT5iJxe6Tu8SO1j58vUu1tNivF0279Tolb8eDcfJKSErh/ehbZEyyjsp2sCRYoKLjqeZvNet2+Onu8HDvdxYR0Cy1dHj5uG+DeyWmUz53Ml3PziVw8AR8ZUXp9aCY6SM5JwRws4FzXEAFHmJmFhSSnFhLp76Lc0ozHZCDc46RFk096UhYL8nL4uM+GqyeMryCLmXOmcvr4O+z/cIBz5jB2f4ABq4bmQD+Zbhc9Xj2eey10piSg0Sbw5UQzGmsG7f0R1KQE5hTN5qv96XxiNrEop4gjrR/S1HGWiHaAoFbP2f4cBpVeLIl+8r0B0KVR4lc4qu0joPNiVcIkBRW8YTOhhAhajcpUr4ojIcKgUcWr06IC8wd8fJRkpNNkwKcb7v4xRhQMqsqQTotBVQlpNLiuaaUJ6DS8azNHlzWqljmJBq7+JG5N3C5MbW5u5nvf+x4bN25Ep9PR2toafU5VVTQaDYqioLmif2xk/a26G/po/9PcLX3j/4mk9vEjtb+eDphfZANFuaPafNZ2Rup+7WsOfNoK4/H4mVmQMfxzanq068lw3xL+a+JwN1BGwVdJTE0k1NiG2zM8FsvsqemcPOci0t5EtrGDCYkugklesg0J6NNnsddpYaItiS9FhkfKdTrduC8lEwwm4jKpnJ8wgYTgJFJ9B9HoQ5RkXqKT2QwEOzFbIuRMKuXBvK/wwqEGzgw0c6DRQWqoi+O6EMmf/BuDmoHf34kpIY3SKffhTQ5xyunElmQjM38i5zs+QBnwUOU305yRQ4e/iw6zgk8XQa8oZA6l0ZsxhWJ/H0Gzwtz7KjjT7CPUcZDHQ734DQNEwkFSwwoJCgQiOrS2XP5Hr+V0pJMwKqqqJ12TwCNhlQvJKezTOgkqQSaETOSmTqH0nvtv/8tBnEJIY2MjdXV1bN68GbvdztGjR3E6ndHnnU4nmZmZZGdnX7Xe5XKRmTm2qV0IIcT4cGV30826pD7r+pmRu4VGrk0x5k5B39tB8eRZvNfsueEdSAumDbcLaFNczM+biRIwc6HJTY96nsm52Xw9o4ikZj3aFFd0KPiyglICzT50FrC09GPRefGovRRow2SGVIonTGba1Apcvh4yranR91kUlQL/adKVIVwGIxe1VnKMZkJ+N71KAH+KCb32AqouyEMTHkBvSmVAd4p/FmQwcdJX0XYc5+TAJUrNaaSazCSaLAzmF6N1nkXp1KH1u0gO+fFoQ/zbmEFYn02WSU/AG8Q6FCLPUoTNcmejxcY8hDgcDtavX8/OnTtZuHB43P7Zs2fT0tLChQsXmDRpEg0NDaxcuZLc3FxMJhONjY3MmTOH+vp6Fi9eHOtDFkII8QV0O7dU/3/XpjBxeCj3mQW+T39mXPf+R+bOuLwiER6Zu4RTrtxPh3i/5nmgKCsXR3AiH/acxjythHkXHPRYAszJn0e6ZzB63UtG4oSrJsh7sHApSmYp4YtN5JmzON95gXJNkARfM2cm5JI3rYxLPWe51xtAP3kW4YtNtPSdwmsx4TDkckaXxhmdi/6Eifz3A5W4fD3sOfs27pCH+VOKwHsPSquDDksSesN0HJ0e0nLNpBku0GrqpnvwfZx9ZdjSzNyumIeQl156iUAgwLZt26Lrampq2LZtG08++SSBQICysjKWLVsGwI4dO9iyZQsej4fi4mLWrl0b60MWQgghrnIrAefa8HAjI60bMzK+RMbMz9+6oE3OxDjj67Q3tuFpi9CVp2FeXjK5n46Mem/a5Ss29JNnMSMyhNFiYkbGl8gx+uHccEsMDE/O5w66sRqtLBgZan7m8Hu7+32cNLuYWTAHQm2E399Pz0ABTWddLPl0MsbbISOmijEhfePxI7WPH6l9fEjdR2dOmVuZDXhkf0vmT7mjlhAJIWJMyEkhfqT28SO1jw+pe/zc6d1gNxjOTQghhBBi7EkIEUIIIURcSAgRQgghRFxICBFCCCFEXEgIEUIIIURcSAgRQgghRFzEbe6YWNJqb32+GXHnpO7xI7WPH6l9fEjdv5j+I8YJEUIIIcTdR7pjhBBCCBEXEkKEEEIIERcSQoQQQggRFxJChBBCCBEXEkKEEEIIERcSQoQQQggRFxJChBBCCBEXEkKEEEIIERcSQoQQQggRF+M2hLz55ps8/PDDVFRU8PLLL8f7cMYlj8dDZWUl7e3tABw6dIiqqioqKirYuXNn9HWnT59mxYoVLF26lKeffppwOByvQx4Xfv3rX2O327Hb7Wzfvh2Q2sfK888/z8MPP4zdbmf37t2A1D6Wfv7zn7Np0yZA6h4rjz32GHa7nerqaqqrqzlx4sTo1l4dhzo7O9Xy8nK1r69P9Xq9alVVldrc3BzvwxpXjh8/rlZWVqrFxcVqW1ub6vP51LKyMvXixYtqKBRS161bpx44cEBVVVW12+3qBx98oKqqqj711FPqyy+/HMcj/2I7ePCgumbNGjUQCKjBYFBdu3at+uabb0rtY+DIkSNqTU2NGgqFVJ/Pp5aXl6unT5+W2sfIoUOH1Pnz56s//vGP5XwTI4qiqIsWLVJDoVB03WjXfly2hBw6dIgFCxaQmpqK2Wxm6dKl7Nu3L96HNa689tprPPvss2RmZgLQ1NREfn4+eXl56PV6qqqq2LdvHx0dHfj9fkpKSgBYsWKFfBZ3wGazsWnTJoxGIwaDgYKCAlpbW6X2MTBv3jz+8pe/oNfr6enpIRKJMDg4KLWPgf7+fnbu3Mn3v/99QM43sXL+/HkA1q1bxyOPPMJf//rXUa/9uAwh3d3d2Gy26HJmZiZdXV1xPKLxZ+vWrdx///3R5ZvV/Nr1NptNPos7MG3atOgfeWtrK3v37kWj0UjtY8RgMLBr1y7sdjsLFy6U732MPPPMM2zYsIHk5GRAzjexMjg4yMKFC/nNb37Dn/70J1555RUuXbo0qrUflyFEURQ0msvTOquqetWyGH03q7l8FmOjubmZdevWsXHjRvLy8qT2MVRXV8fhw4dxOBy0trZK7cfY66+/Tk5ODgsXLoyuk/NNbJSWlrJ9+3asVivp6emsWrWKXbt2jWrt9WNy5HGWnZ3NsWPHostOpzPabSDGRnZ2Nk6nM7o8UvNr17tcLvks7lBjYyN1dXVs3rwZu93O0aNHpfYxcO7cOYLBINOnTycxMZGKigr27duHTqeLvkZqP/refvttnE4n1dXVDAwMMDQ0REdHh9Q9Bo4dO0YoFIoGQFVVyc3NHdXzzbhsCXnggQc4fPgwvb29+Hw+9u/fz+LFi+N9WOPa7NmzaWlp4cKFC0QiERoaGli8eDG5ubmYTCYaGxsBqK+vl8/iDjgcDtavX8+OHTuw2+2A1D5W2tvb2bJlC8FgkGAwyLvvvktNTY3Ufozt3r2bhoYG6uvrqaur42tf+xp/+MMfpO4x4Ha72b59O4FAAI/Hw9/+9jd++MMfjmrtx2VLSFZWFhs2bGDt2rWEQiFWrVrFrFmz4n1Y45rJZGLbtm08+eSTBAIBysrKWLZsGQA7duxgy5YteDweiouLWbt2bZyP9ovrpZdeIhAIsG3btui6mpoaqX0MlJWV0dTUxPLly9HpdFRUVGC320lPT5fax5icb2KjvLycEydOsHz5chRFoba2ltLS0lGtvUZVVXWsfxEhhBBCiGuNy+4YIYQQQtz9JIQIIYQQIi4khAghhBAiLiSECCGEECIuJIQIIYQQIi4khAghPreioiKqqqqiM2pWV1fz9NNP3/b2mpqaeOaZZ0bxCG+ssrISr9eLw+HgW9/61pjvTwjx+YzLcUKEEGPnz3/+M+np6aOyrbNnz4753B5OpxOLxYLFYmH//v3MnTt3TPcnhPj8JIQIIUbFuXPn2Lp1K/39/UQiER577DFWrVqFoij89Kc/5cSJE3i9XlRV5bnnnmPixIns2rULt9vNU089xfLly/nJT35CQ0MDAEeOHIku/+pXv+L48eN0d3dTVFTEjh07+N3vfsf+/ftRFIXc3FyeffZZsrKyrjqm6upq+vr6UBSF6upq2tvbsdlsFBcX89BDD8WjTEKIK0gIEULckscffxyt9nJP7h//+EdSUlKoq6tj+/btFBcX43a7WbNmDYWFhaiqSnd3N6+++iparZYXXniBF198kd///vfU1dXxzjvv8LOf/YwjR4585n47OjpoaGhAr9fz97//nTNnzvD666+j1+t59dVX2bJlCy+++OJV76mvr+cXv/gF06dPp7KykkcffZTdu3eTmpo6FqURQtwiCSFCiFtyo+6Ys2fPcvHiRTZv3hxd5/f7+eijj6itrSUlJYVXXnmFtrY2jhw5gsViueX9lpSUoNcPn7Lee+89Tp48ycqVK4HhWVV9Pt8N3/fxxx+zYsUKQqEQQ0NDEkCEuItICBFC3LFIJILVaqW+vj66zuVyYbVaOXDgAFu3buU73/kOS5YsYerUqezZs+e6bWg0Gq6cRSIUCl31vNlsjj5WFIXvfve71NbWAhAMBhkYGLhum9XV1Zw/f54NGzYQCATo6emhurqaJ554QrpjhLgLyN0xQog7ds8995CQkBANIQ6Hg8rKSk6dOsXBgwcpLy+ntraWGTNm8I9//INIJAKATqcjHA4DkJ6ezqVLl+jp6UFVVd56662b7m/RokW88cYbeDweAJ5//nk2btx43et++ctfMnfuXPbs2cM3v/lN1q9fT319vQQQIe4SEkKEEHfMaDTy29/+ljfeeIOqqirWrVvHD37wA+bMmUNNTQ1Hjx6lqqqKRx99lLy8PNrb21EUhZKSEtra2njiiScoLCykpqaGlStXsnr1aiZNmnTT/X3jG9/gwQcfZPXq1djtdj755JOrZhYe0djYGL0b5srHQoi7g8yiK4QQQoi4kJYQIYQQQsSFhBAhhBBCxIWEECGEEELEhYQQIYQQQsSFhBAhhBBCxIWEECGEEELEhYQQIYQQQsSFhBAhhBBCxMX/AWkNJMkW+rg5AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo('NMF', d=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To see the importance of the extra latent variable, try with d=2 and note how poorly samples are reconstructed:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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0dA9bVlW1BIPBwMsvv8hVV21ILX/rrdeHbVdRsWhKY2zb9jf+4z++x9Kly/n3f38Iq3Xit+Kenm6MRhMZGRlTOr7d7kCtVrN37x5kWU4l3tbUHGHr1j+yfv3VzJ1bPu7+Z5sTkpdXwL/92/dHLX/11Zd57bWX+drX7iEn512hMDDQT1pa+rBtI5EIv/vdr1Gr1axa9W4uTzwep6OjHbPZkur7AXDNNdfy+9//hieeeIwvfvGrqeVPPPFntFot69ZtGGVPLBbjlVdeYs6cUhYtqprS+c4UzrsIefXVV0ctW716NatXr059rqio4Iknnhi1XUFBAY8++uh5tU9wadLm9PNG0yEC2g5U6XZumb8Bs0HN4cZedBo1a6tySTPr+dkzR2k8GeeWFYspyJMwn/KE1Pc1EogFcIc8whsiGJfVq9fw3vfewZNPPj7hdtddt4mf/ewRtm7945QqKKbC5Zev5Xe/+xWRSAS9PpnDYDQa+cxn7ua//uthzGYLGzZspKGhfsy3/Mno7fXwwx9+n/T0dD7+8U/R0tI8bH1aWhrFxSXDlh06dIDLL1+b+ux09uB0OiktLR0zGdNoNHLDDTfx/PPP8o1vfJW1a6+itbWFZ575KyUlc/jnf75vQhv1ej2rVq2ecJuJsFgsXH316JySwZLm1avXDusM+9Of/pienm6qq5fgcOTQ2+th27bnaW9v5TOfuXuYZ8PlcvLhD79vlAdm/vwKbr75Pfz5z38gGAyc6pi6i1df/Tuf/ORnxhRLO3a8RX9/P3fe+dFR62Y6M8ITIhBcSBKyzCNPHsEbTEeVHkXut3N5ZQ6SJCFJEtVlybeSI41url9VxAu7Wnl2RzPf+uiKlOdjsHmZWWsW3hDBhHzhC19h795dtLW1jrtNXl4+1dWLOXbsKBs3Xn9Oxr3mmmv55S//j717d3PFFVelln/gAx/GbDbz2GN/YNu2v1FUVMy//uv3+NrXvnhax9+x421CoRChUIivfvXzo9ZfddV6Hnzwh6nP3d1dNDU18g//cFdq2bPPPsWvf/1zfvKT/x23k+o//uM/YzKZePXVl9m7dze5uXnceedH+chHPoHRaBxzn+li1arVPPPMkzzzzJMMDPRjMBiYN28Bd9/9Rdavv2bKx7nnnnvJycnl+eef5YUXniM3N4+vfOXrvO99Hxhz+xdeeA6VSsWmTRdXKAZAUs60fd1FhEjSu/DM5OTIZ7af5Km3TgKQk2mkqtTGDVfZ2Nm1DwlYnbeCQ8eCHGrwUJxj4eW97UTjMvfcuYyFJclY9kye2G4mX/vZzky79vfffy+BgJ+HHvrJdJvC//zPf7Fz5w5+85s/nvMW8jPtul9KnG1i6nlt2y4QzDRi8QQvHKhDnX+Cddf7+aePzefD18+nxl3HAech9jsPc9BZQ9VcG3Pz02h1+rCakqVuv3juGP2BKECqedlMEyACwVA++9nPc/jwIerqjk2rHV6vl2effYovfvGr52UOG8HFixAhgkuKo819xE3dGOw9tEXrU3PBVGVXsDi7Cp1ax1ONz/NY8+8JaDuJRBOU5FooybHS54vww8cOEAzHpvksBIKpUVBQyNe+dg8PP3zmc7acC372s//mxhtvOav8DMHsRIRjBOeFmeoefeSpGvadbGbeYj/VpVlclrucGk8d73TtocPfNWr7Iu18Pln1IYw6DT/44366PEEuW+jgrvdUIknSjAzLzNRrfykgrv30IK779CHCMQLBGLhDHl5v24475Ekti8VlDje6USImytUruXnu9TQPtPHEiWdSAiRdZ+XuxZ/kivzLAGiL1bOn7y0sJg1fvn0xeq2a3bVOdtU6eWVfGzvbjojZdQUCgeAMEdUxgllJjbtu1Lwvhxs9RGMyGRYdSxdZ+dPxv/J2x04A8k35lLKK1WXzKMt2UJW9kPkZZfzm2GO80PwKiZgGi38+qxfl8OahTt482IGiDWLKczE3v1jMrisQCARngBAhglnJoCgYKg5eO5Cc6GpFVRq/PvELvJFk90aVpGK+dAVtzVqatRHKTpXhr8xdBpLEr4/+kdc73yDfZaUwKwMAlzdE+RIvQV0fZm3+jAnFCAQCwcWEECGCWclg9cogkWiC461eJH2Qg/KzBCP9FFnyKbMuINafRlVeOVkaf6pHyCArHEt4o30HTf3NuBx/58rSWzF1tdPrzmJtyRI8SqbwgggEAsEZInJCBLMed8jD1iMvI2sDWAo6CdKPVqXhC0s/TVawiu4WM50uPxtXFOHIGN78SJIkPrLwDvLNuQTkfp5q/QvmPDeqdBe19RFRpisQCARngRAhglmNO+ThqYbnqemtQWXrwGRPhmCWO5Zg1VmoLstmSbltlAdkKDkmO/+04gsUWvLxxwKo9RHkfhtvH+ni73tacXpDF+p0BAKBYFYhRIhgVlPjrqM/7MPnS6Ay9+FTkrOHXlu8HgBHhnFMD8hQnN4Q2w85uWPOnWTo0+mP9ZGZE8EfirG9ppsjje5x9xUIBALB+AgRIpjVVGVXkKmUEvOno7dEUVAoshaQb8mdfOdTHGl0c6jBQ0tblBtKktOGq7KSSa6KwoReFIFAIBCMjxAhglmL0xvi4NEADQczkT0FaJPd17m68MrTOs7QkM3ynCVIqAhou5G0YTrdAYw6NTB2bxKBQCAQjI8QIYJZy5FGNztqeujuDaLWxAkrfowaI8sci0/rOENDNhatmUWZi0BSsM/rJCEr7DrWk8o9OeA6LBqXCQQCwRQRJbqCWUthoQp/Uz2SPh1bmZMBYHXucnRq7Rkdz+kNseNIF1alAqghaGkCTSFv1J6gWd9Bb7iPLIMo2RUIBIKpIkSIYFbi9IZ49cR+fJoOVJlBQqYWkOHKgsvP+JhHGt3srnUiSZCzoISeeAumvE66IxKmQAC7OZPbym8SJbsCgUAwRYQIEcxKjjS66WwyE4/bSbfFCMkxcjVzUMfSzviY1WXZ+IIxkMBRdBV/aGxBm9tG6PBy8KbhUC9Ajphg/EIbgUAgEAxB5IQIZiXVZdlIMTMJdwFxaxsAKnf5WZXTOjKM3HbVXG67ci6XF1fhMGUTlQJIJh+tR7M50RgT5boCgUBwGggRIpiVKLJChyuALqeDGBEKzUWsLq44Z+W0KknF+oJkW3hjQRuRWILiXKso1xUIBILTQIgQwazDHfLwx4Mvgd6PsbAVgJvmXsO1K4snbEp2uqzOW4FBrUc2eVClecgw68/p8QUCgWC2I0SIYNZR466jJdiIJr+JqBTAqsokVzPnnI9j1Bi47lTzMm1RHYeakqEY0S9EIBAIpoYQIYJZhTvkob23l0CvGbUlOU+MoX8+NU2952W8jUVXocWAyuyjwdWBrCjUuOs46qkV/UIEAoFgEs6rCPH7/dxyyy20tydbXP/5z3/mlltuYfPmzXzzm98kGo0CUFtby5YtW7jhhhv41re+RTweB6Czs5MPf/jDbNq0ibvvvptAIHA+zRXMAmrcddQ4G5G0MSRjAKvWytqCFectV6PPFydLygcgYXLR6QpQlV1BpW2h6BciEAgEk3DeRMihQ4e48847aW5uBuDkyZP88pe/5LHHHuOZZ55BlmX++Mc/AnDPPffwne98hxdffBFFUdi6dSsADzzwAB/60IfYtm0bVVVVPPLII+fLXMEsoSq7AnO0AJU+ObPtNUVXcv3KOectV+NIoxt5IClw1Gkentl+EjliYkPRFaJfiEAgEEzCeRMhW7du5f7778fhcACg0+m4//77sVgsSJLE/Pnz6ezspKOjg3A4zNKlSwHYsmUL27ZtIxaLsWfPHm644YZhywWCibAZsuhrcaCyJsMvK3OXntfxqsuyWZG/EABVuofaNg9PvNaA0xs6r+MKBALBbOC8NSv73ve+N+xzQUEBBQUFAPT29vKHP/yBBx98EKfTid1uT21nt9vp6emhr68Pi8WCRqMZtvxMsNutZ3gWgrNhOq57W4+PAXUHerXMvKxSFhQVn9fx7HYrlfMcHHruRboC3UR1LkLRdE72+Kmc5zivY09ml2B6ENd+ehDX/eLkgndM7enp4dOf/jS33347q1evZt++fUiSlFqvKAqSJKX+P5SRn6eKy+U7K5sFp4/dbp2W6779QDvqrG4AqrMqL5gNS7Ir6Qp0Q3o3c3KXkWbU8Ni2Y1SXZV/wst3puvYCce2nC3Hdp4+zFX8XtDqmsbGRD37wg7z3ve/lC1/4AgC5ubm4XK7UNm63G4fDQVZWFj6fj0QiAYDL5UqFdgSC8ajvcKPOSN5PkXjkgpXJLnFUAqDOdJJh0dPp8nOowSM6qAoEAsEEXDAR4vf7+dSnPsVXvvIV/uEf/iG1vKCgAL1ez759+wB4+umnWbduHVqtlpUrV/L8888D8NRTT7Fu3boLZa7gIuVE/wkkdQKLOo097cfZ2XbkgoxbZClAL5mQdBEOdbRQXZbNknKb6KAqEAgEE3DBRMgTTzyB2+3m17/+Nbfeeiu33nor//mf/wnAQw89xIMPPsimTZsIBoN87GMfA+D+++9n69at3HTTTezdu5evfvWrF8pcwUVIfyBKwJCcJ8amzCXRZ0fuvzAiQJIkFmSUA3AitosIA2xcUYRKHxSNywQCgWAcJEVRlOk24nwjYoUXnumI0e6q6+C3bT9FUie4UvMhHGbbBc3J2N29n98eewwlpmWBcSlLSvMJxAI0D7RSaVvIhqIrLogdIj4+fYhrPz2I6z59nG1OyAVPTBUIzhdvtOxB0ibQxdPZuHzBBU8IXWRbgFrSkNDGaOlzIZtd6NR65qQVi8ZlAoFAMAaibbtgViArCi2xYwAUZzimZSI5i9bM1QVXARCiH7PWQlSOYtaaReMygUAgGAMhQgSzgoaOPhR90h27qWz9tNlx7ZykCJHM/VyWuY5l9sXCCyIQCATjIESIYFbw2olDSOoEJiWThbb502aHVWdBF89AUskcbe8S7dsFAoFgAoQIEcwKar3JUEyZZfq9DqZYsp/NUVf9NFsiEAgEMxshQgQXPd29PqKmTgDsypzpNQZYZE96YgLajtQyd8gjSnUFAoFgBEKECC563mo8hqSNoY5ZuHLBguk2h/dUr0KJa4jrvbx94jiv7GtjZ9sRjnpqqXHXTbd5AoFAMGMQIkRw0XPMcxyAQn0ZNU2eaZ/B1mo0ki2XAfDCie3sbWrhpNMlSnUFAoFgBEKECC56XHIrABlK4YyZr2VtwQoABtRtZOT3EdI66Qqc2SzQAoFAMFsRIkRwUdPk6kExDICsYu2CkhkzX8uV5YtQYlpkbYCFecXEIho8oQERjhEIBIIhCBEiuKh5rTE58aEaLe5EBxtXFE1Lo7KRWIw6jNF8AN5prEfTU0lmvESEYwQCgWAIQoQILmrqBpKluQ5tAYFYYEZVn5SakxPa9UltrJxbwm2LNoqeIQKBQDAEIUIEFy29IS9BtRNFVlGZU0bzQOuMCnfMz5iHokj4pB7WLrlwE+kJBALBxYIQIYKLllca94IEqqiFypy5VNoWzqhwRzQsIfsyQFI45hGNywQCgWAkQoQILloOug4DYNBp6PR3z7gW6ZctykXtzwFgb2dNarloXCYQCARJhAgRXJT0hb14lW4UWUV1ZvWM8oAM4sgwpvJC6r0nkBUZgBp3nWhcJhAIBAgRIrhI2dl5EADFa+eaovUcOhac9iZlY7HAUYQcMRBWgrT62gGoyq6YcaEjgUAgmA6ECBFclOzqOACAQ1VGfVvfjGlSNpIFxZnI3uSEdoOej2yjbcaFjgQCgWA6ECJEcNHRH/HhinWhyCoqMhbgC8aYW5A2I5qUjWRufhqqU3khh53HptkagUAgmFlMSYSEw2GOHz+OoiiEQjPP5S24tDjeewIAeSCLjp4wda1erEbtjCyB1ahVlKWXoiRUdAQ76Y8MTLdJAoFAMGOYVIQcPHiQa6+9lrvuuouenh42bNjA/v37L4RtAsGYHOhOhjVUkXR69XUYzOEZ6QUZpLLEjuxLhl52th2ZZmsEAoFg5jCpCPmP//gPfvOb35CRkUFubi7/8R//wfe+970LYZtAMApFUTjR3wBAhkWHPttD+aLojPSCDLKwJJOE1w4ML9UVCASCS51JRUg4HKa8vDz1ef369SQSiSkd3O/3c8stt9DenqwK2LFjB5s3b+b666/n4YcfTm1XW1vLli1buOGGG/jWt75FPB4HoLOzkw9/+MNs2rSJu+++m0AgcFonJ5h9tPk6CMl+lKieVfaVrC9dxuVF1dNt1oQUO6xoA7kAuBJtxOX4NFskEAgEM4NJRYhGo6G/vx9JkgBoamqa0oEPHTrEnXfeSXNzM5AUM/feey+PPPIIzz//PDU1NbzxxhsA3HPPPXznO9/hxRdfRFEUtm7dCsADDzzAhz70IbZt20ZVVRWPPPLImZyjYBZxwJUMZyT6ciix5V4UVSYqlcSiggLkoIWYEuUvJ54TjcoEAoGAKYiQu+++m4985CN0d3fzj//4j9x5553cfffdkx5469at3H///TgcyfLEw4cPU1JSQlFRERqNhs2bN7Nt2zY6OjoIh8MsXboUgC1btrBt2zZisRh79uzhhhtuGLZccGmzpyvZJVVR4I2j9TOyN8hYLCjOQPZnAnDAeUQ0KhMIBAJAM9kGV199NXPnzmX79u3IsswXvvAFysrKJj3wyLwRp9OJ3W5PfXY4HPT09Ixabrfb6enpoa+vD4vFgkajGbb8TLDbrWe0n+DsONfX3R3spS/qQZFVaExB+qR2TvbMp3Ke45yOcz64fHEBjx9Pav5ANMRC+yLsdis9fhcHOo+yLL+SHIt9kqNMHXHPTx/i2k8P4rpfnEwqQrxeL+np6dx0003DlmVkZJzWQLIsp0I6kEwwlCRp3OWD/x/KyM9TxeXyndF+gjPHbree8+u+a9ALEjGQbyhgia2S0hzLRfH9BvxhcJegONqQ1XF2Hm4nx5DJm237OOqpxecPs6HoinMy1vm49oKpIa799CCu+/RxtuJvUhFy+eWXj3r42+123nzzzdMaKDc3F5fLlfrscrlwOByjlrvdbhwOB1lZWfh8PhKJBGq1OrW94NLlhPfdfKQih4U0ez8qfRCYuZUxgxw96cFAOhGvA42tGykjec8Ptm4XLdwFAsGlyKQ5IXV1ddTW1lJbW8uhQ4f43ve+x6233nraAy1ZsoSTJ0/S0tJCIpHgueeeY926dRQUFKDX69m3bx8ATz/9NOvWrUOr1bJy5Uqef/55AJ566inWrVt32uMKZg/He5OlubI3h6w0w0U1CVx1WTblBWnIp0p1WwKNuEMeatx1VGVXzPjkWoFAIDgfnFbbdp1Ox5YtW9i+fftpD6TX6/n+97/Pl770JW666Sbmzp3Lpk2bAHjooYd48MEH2bRpE8FgkI997GMA3H///WzdupWbbrqJvXv38tWvfvW0xxXMDjyhPnojfShxDQXxFawtWHlRTQLnyDBy05o5JPrtoCS9On858SwHXIcvGiElEAgE55op5YQMoigKNTU1DAxMvfX0q6++mvp7zZo1PPPMM6O2qaio4Iknnhi1vKCggEcffXTKYwlmLye8jQDIvkzmF2amJoG7mJiTa0WHATmQDpZ+nEEXeebci0ZICQQCwblmyjkhiqIAYLPZ+Na3vnXeDRMIhlLflxQhiQEb86szpteYM0SjVjE3P40GrwOVpZ9QSMVVpdeIUIxAILhkmVSE1NUJV7FgelEUheN9pyat82VRVpA+zRadOfOLMjh+wI628AQDsX7a2hIsyJluqwQCgWB6GFeE/PrXv55wx09+8pPn3BiBYCza/B14IwMoMR1m2wAxlQ+4OL0HC4oyeGa7FWIGFG0Ye75o4S4QCC5dxhUh9fX1F9IOgWBcjriOASCHTehtyYqSiy0fZJC5BemoVSri3mw09nY6IydZwtzpNksgEAimhXFFyIMPPngh7RAIxkRWZPY5DwGQcBVQPC/zok7k1GvVzMm1crLPjsbezlFPLTeWbpxuswQCgWBamDQn5MCBA/zsZz8jGAyiKAqyLNPe3s7rr79+AcwTXOrs6NxNT9CFOmEg4SngqvVLL/pEzvlFGTTusSGhonmgDV/UTyQRET1DBALBJcekfULuu+8+li1bht/vZ/PmzVgsFq6//voLYZtAwGttbwMQG0gHRUVp3sU/P8T8ogyQNejCdhQUjnmOU+Ouu6iarwkEAsG5YFJPiCRJfPazn6Wvr4+5c+eyefNmbr/99gthm+ASJybH8YR7k3+78rDN7SKm9gP66TXsLJlXmI4EBJxZaIp72O88RJG1kDlpxRd1qEkgEAhOl0k9IWazGYDi4mJOnDiBwWBApTqtRqsCwRnR3N9CTI5jIQtJF0F3Kin1Ysdk0FLosBDvywbgeF8jzf0tmLVmEYoRCASXFJN6Qqqrq/nqV7/KV77yFe666y6am5vRaCbdTSA4a+r6Ts0VM2BD7reTlkgjTzdneo06R5TmWWlz+jFLGQRkLzlmh/CCCASCS45xXRr//u//TktLC/fddx+f+MQnKC0t5d5770WWZX74wx9eSBsFlyCKonDQVQNAX1caUtREqLOIV3b04vSGptm6s6ckJ5nbYormA6BVaYUXRCAQXHKMK0ISiQTvf//7+dSnPkVvby+KorBhwwbuvfde5s4VfQ0E55c2XwfdgR7Ush4lbESb20pC5WcgGONIo3u6zTtrinOTIiTgzATgoPPYdJojEAgE08K4IuTb3/42b775Jrfccgs///nPufbaa/n5z38+bEI7geB8sbN7HwA6fxGqdA9puV6qliZYVWGnuix7mq07ewrtFiQJervMSLIGV9iJJ9Q33WYJBALBBWXCDFO9Xs973/te/vSnP/F///d/uFwutmzZwje/+c0LZZ/gEiQux9nXcxAAb5sdZcDOtfNXsHHecjauKMKRYZxeA88Beq2afJsZRVaRJRUCsKt7L6+3bccd8kyzdQKBQHBhmHKGaXl5ORs2bKCvr4833njjfNokuMTZ2bUXfyyAQUkjFEgj02rgutKLs037RMwvyqDDHSBPW4on3sy+nsNkGZKT812sbekFAoHgdJi01rarq4uf/vSnXHPNNTz88MNcccUVoluq4LzydscuAKSwBZBYWJI5vQadJypOnZe3Kyk83CEPhZYCXEEXf2t6SXhEBALBrGdcT8jzzz/PE088wYEDB9i0aRP/+Z//SXV19YW0TXAJEk3E6Ak6AQh1FgOwuGx2Vo3Y0g0AnGyNUDa3iFZfG/6Yn6b+ZkDCrDULj4hAIJjVjCtCHn74Ye68805+9KMfkZGRcQFNElzKHOs9TlSOkWvMo7k3A0mCRXOyptus88LJzn70WjWRWIJCXRmttBGIBVnmWIIEom+IQCCY9YwrQl566SUkSbqQtggEHHAeBqBQW85JBcoL07EYtdNs1fmhuiybvXVOjrf1Q38uAPXeJj5V9RHUKvU0WycQCATnn3FzQoQAEVxoYokYNe5aAMIuB5I+SHpx56zNjXBkGLluVTLk1NYGuSYHoXiIE96mabZMIBAILgxiEhjBjKG2t55wIkKhJZ/jLV40hcfx6VpmxXwx47GgOAMJaOrsp8q2CIBDpzrFCgQCwWxHiBDBjKHGkxQbGn8eAV0nGn2cbHP6rM6NMBu0FOdaiScUVAN5ABxw1iAr8jRbJhAIBOefSUWIy+Xis5/9LDfccANut5tPfepTOJ3Osxr06aef5uabb+bmm2/mBz/4AQA7duxg8+bNXH/99Tz88MOpbWtra9myZQs33HAD3/rWt4jH42c1tmBmoigKdb31ADhbrMj9dor187it/KZZP6fK3Lw0AA4fjaFJmPDFfLQMtOMOeXi9bTv1fY2iiZlAIJiVTCpCHnjgAa699lr0ej3p6elUVFRw3333nfGAoVCI733vezz66KM8/fTT7N27l1dffZV7772XRx55hOeff56amppUQ7R77rmH73znO7z44osoisLWrVvPeGzBzMUV8uAJ92FUGyGcjhIxcV3pVbNegACo1cn8K1dfhBJjOQA7u/bwVMPzHHAd5s32HRz11M7qsJRAILg0mVSEdHR08P73vx+VSoVWq+Wee+6hq6vrjAdMJBLIskwoFCIejxOPx7FYLJSUlFBUVIRGo2Hz5s1s27aNjo4OwuEwS5cuBWDLli1s27btjMcWzFz29hwAoNhahFdfj9oQYtGc2dmkbCRXLytAo5bwh2Ksm7McgIOuGgYiA1i1FtYVrqXStnBWh6UEAsGlyaRt2yVJQpbfjU/7/f5hn08Xi8XCV77yFW688UaMRiOrVq3C6XRit9tT2zgcDnp6ekYtt9vt9PT0nPHYgpmJL+rn5dZTUwGETagz2rHbTBh0U55V4KImz2ZmYUkWR5o8RLwZpOmsDER9XJa7nPWFa8k22pifWTbdZgoEAsE5Z9Jf+euvv56vf/3r+Hw+HnvsMR5//HFuvPHGMx6wrq6Ov/zlL7z22mtYrVa+/vWv09zcPKwkWFGUlPgZa/npYrdbz9hewZkz1ev+Tt1OIokoy/IqkToXkPBGyMmZQ0KlItdmPs9WzgxWLMzhSJOHNleIdfNX89zxl9HoJBYWzzmj44l7fvoQ1356ENf94mRSEfK5z32Op556ClmW2bFjBx/4wAe44447znjAt99+mzVr1mCzJWP9W7Zs4Ze//CVq9bvNmVwuFw6Hg9zcXFwuV2q52+3G4XCc9pgul++M7RWcGXa7dcrXfUfzPgDKDJU8WRMkESqhX6Pm9T0tbFxRdD7NnDEU2kwAHKx38qVV1TzHy7zRvJPr8q/BpDWd1rFO59oLzi3i2k8P4rpPH2cr/ibNCfnGN77Bbbfdxo9//GN+8pOf8P73v/+sGplVVFSwY8cOgsEgiqLw6quvsmTJEk6ePElLSwuJRILnnnuOdevWUVBQgF6vZ9++5EPq6aefZt26dWc8tmDm0R/xcbK/FY1Kg7fDSkDuR5vTSmWFnuqy7Ok274JhNGjQqCWcfSGMciYVmfOIJKI83/yyqIwRCASzlkk9IbW1tWccBhmLK6+8kmPHjrFlyxa0Wi3V1dV86Utf4oorruBLX/oSkUiE9evXs2nTJgAeeugh7rvvPvx+P5WVlXzsYx87J3YIZgZvd7yDgsLc9BLMcSOqdBeWnD4y8gZwZBin27wLxrGTHgw6Df5QjONtXq4r2UBd3wl2de2nxFoAICazEwgEs45JRYjD4eDmm29myZIlmM3vxufPpkz3s5/9LJ/97GeHLVuzZg3PPPPMqG0rKip44oknzngswczmna69AGTpM+nuCSL325k7L/uSqwSpLsvmWHMfB064Od7ax8cWLcCiNeOPBSiyFlKVXYE75KHGXUdVdsUlUbosEAhmP5OGY5YtW8ZNN91EQUEBGRkZqf8EgrOlzddJX8SLVqXh2uJ1HOvqQJXuYnVh9SX3kHVkGLll7RwA9te7cfdHqMpeCIBeoyfbaKPGXSf6hQgEglnFpJ6QL37xixfCDsElhqIoPHHiaQCuLLgcs5SFR2lFk+liQN0OzJlW+6aD4hwLWo0KfyjGOzVdLF5Qyc6uvezp3s8NJVenvEOXmpdIIBDMXiYVIZs3bx5z+bPPPnvOjRFcOjT1t9DgPYlFa+amOdey63gzaKJkqnJZbF843eZNC2qVinmF6Rxr7kOjVlFlqyBdl0Z30Eld3wkWZs0XeSECgWBWMakI+fa3v536OxaL8be//Y2iokujbFJw/jjoOgLAZbnLMWlN7Gw7gtrST0FW/iUXihnKsnl2jjX30eb0o1apWVe4hmebXuTtjl3YT4VkRE6IQCCYLUwqQi677LJhn9euXcsHP/hB7r777vNmlGB2oygKh11HAVhir6LLE6DlhJGExc6yqkpe2ddGdVn2JVUdM0hlaRYAhxrcdPUGWZ27gmebXuSYp47StGKO950ARKWMQCCYHUyamDqSvr6+s55FV3Bpc7yvAXe4F4vWzNz0El7d1040aMAcKCfk03KowcORRvd0mzkt5GQasZq0RGIyr+9vJ9OQQYm1iKgcQ6/RiTlkBALBrOK0c0I6Ozt5//vff94MEsxuZEXm6cbnAbi66EpUkopgJA7A8vmOVIOyS6lR2VAkSWLpvGzeOtRFOJYAYKm9ihZfG2937OIz1R8VoRiBQDBrOK2cEEmSyMrKoqxMTKYlODN2dO6m1ddBui6Na4quQlYUjnW2o3Z0Ul1RhiPDeMm0ah+PK6ryeOtQF8dbvSiKwqrcZTzTtI12fye7uw5w09xrp9tEgUAgOCdMGo556qmnuOyyy7jssstYtWoVZWVlfPnLX74QtglmGZFElKcbXwDg9nmb0al1nOwawK/tRG/z0K9qn2YLZwZlBWlYjFqcfSG6PEFiYT0OTTEA/rh/mq0TCASCc8e4npD777+fnp4e9u3bR29vb2p5PB6nra3tghgnmF0cdB4hGA9RklbEcsdiAN4+3IXcbyc/L03kOpxCrVKxpMzG9ppuDpxwYdCpUbnLIKOFo57j53QaBYFAIJhOxhUh73vf+zhx4gTHjx/nhhtuSC1Xq9UsXbr0QtgmmGXsPNWifW3eKiRJwhV0s8e9G8jCEa/g0LEg1WWmS7IqZiRL52Wzvaabgw1uPrO5EkVZyEvB3bhDHp5s+BvrCteI3BCBQHDRM64Iqa6uprq6mrVr15Kbm3shbRLMQk72t1DvbUSr0rLcsQSA7c2HiZu60WXJZGUs5FBDcqbYSz0nBMCRZUKlkmjqGECvVXPtyhK89Ut5rf1tDjgPk2XIFGW6AoHgomfSxNSuri4eeOABgsEgiqIgyzLt7e28/vrrF8A8wWzhmcZtQLIiJhgP8mrbWxxq7yDhT2dVbiVXVueTbnJfslUxI6lv7cOs1+ALxTjU4GbdknxW5CRFSCAexB/14w55hDdEIBBc1EyamHrfffexbNky/H4/mzdvxmKxcP31118I2wSzhDZfB/XeRgxqA9cVb6DGXcfe7kN0x1ohrmPzykWpqhgRiklSXZbNwjmZABw8keyZMietiGxDFpFElKO9dezs2sfrbdtxhzzTaapAIBCcMZOKEEmS+OxnP8tll13G3Llz+fGPf8z27dsvhG2CWcIb7TsAWJO3EpPWSJ5uDur+fOKeXEot5eTZzNNs4czDkWHkgxvnAXC0uZdINIEkSazOWwHAQNSPoshiVl2BQHBRM6kIMZuTD4ji4mJOnDiBwWBApTrtRquCSxR3qJfd3fuRkFhXuAanN8QrO3pxnygm0TmPlXNKptvEGUs0LmNL0xOLyxxrTlaobSxej82QiTfST0KRZ30HVXfII7w9AsEsZlI1sXjxYr761a9y+eWX86tf/Yrvf//7aDSTppIIBCiKwlONz5NQEqzKXYbDZOdIo5t+f4TQqS6p/lAMpzc0zZbOTI40ulGrk/9EDzQkQzJ6tY4PLtgCwOvtb1OVvXBW54XUuOuEt0cgmMVMKkLuvfdePvGJT1BaWsq9996LLMv88Ic/vBC2CS5yXm59gwPOw+hUWm4uTeYRVZdlU5xjJZ5QMBk0nOwauGTniZmM6rJsViywA3Ck0cPLe1txekMssi1gZc5SYnKcv7e8Ns1Wnl+qsiuGeXuEZ0QgmF1MKSdEpVLx2GOPsXbtWm688Ubmzp17IWwTXMTs7zyS6o768UUfJNuYnB3WkWHE1R8GoNhhoawwXVTEjIMjw8jt68tIM2npD0TZXetKCbbL81YC8E7XHl44+cqsfShnG21sKLoi5e0ZzzNS39fIL448Sn1f43SYKRAIzpBJRchf/vIXvvnNb/KLX/wCn8/H5z//ebZu3XohbBNcpMiKzG8PPoGCwua5N7DUUQ2A0xvi8dcbONzoQa1Kdvy0GrWiImYC3P1hstIMAKRbtCnB1hNwYdVaSCgy73TtvijCFefCizHSMzLIm+07qO9r5M1TSdBnapPwtAgEF5ZJRcjvf/97/vznP2OxWLDZbPz1r3/lt7/97YWw7ZzQ3NfOEfcxfFEx58aFora3ni6fk0x9BtcVb0gmo+5r4+Ujx3mjbQeSPsiaqlxWLLALL8gkHGl0E4vLAARC8ZRgq8qu4LLc5QD0R32UphenHqA9fte02TsR5yK/Y6RnZPCcl9irmJ9ZxrrCtcOWjycmBtfv6to3zCaRgyIQXFgmzTBVqVRYLJbU57y8PNRq9Xk16lzy/97+H1zBXjQqDUvtVWTqMyhNL8FutKFVabGbZm9S34UmISfY1vwKL53KU7iy4HLUKjVHGt0cavAg25qIm7vRyTLvv/oGLEbtNFs886kuyyYaS/DkWyc53uqlzxch06on22hjy7xb6Ax0U9tbz+9rH2dJdiUnvI20hVq5sej6GZewOui9ON1qHnfIQ427jqrsilHnNCgaKm0Lua38JmrcdWQZMlLLgVRn2aHHGVxfklac8qy4Qx78sQBz0opndcWRQDCTmFSEZGRkUFtbm5ow65lnniE9Pf2sBn311Vf56U9/SigU4oorruC+++5jx44dPPjgg0QiEW688Ua+9rWvAVBbW8u3vvUtAoEAK1eu5IEHHjit6pxssw2NpKU74GRvz8FR66uzF1GeUUqRpQC7yUaWIfOszu1S5rmTL70rQIpXcU3RlQAUFqpojLSjjjlI+F0U2DWEGcDCzHpIzkQcGUZuvHwOjZ0+9te72FPbw/WXFafW37lgC/+26yE6A93kmBxYdVb6I75hD9uxHt7TwaAXYyqMJRiAUfsPFTZDtxtL8Iy3fvDavN62nZaBViptyYqjscTPRIJIIBCcPpM+ze+9916+8pWv0NraypVXXoler+eRRx454wHb2tq4//77efzxx7HZbHz84x/njTfe4P777+fRRx8lLy+Pu+66izfeeIP169dzzz338N3vfpelS5dy7733snXrVj70oQ9NebwHrvlHXC4fzqCLGk8dgWiAem8TPQEngXiQI+5jHHEfA0AlqbgifzV6tQ6z1kSVbSG7uvdRnlFKdfaiMz7nS4H+iI/X2t4G4PNL/oENFatwuXwAdEWbiZm6aW0OQFyHJm2AGnedmPvkNFgx387+ehfHWvqGiRCbMYvrijfwfPPLtPna+fzST9EeaaXEMIcadx0HnIdo8DZxW/lN5/Whea4fzmMJhnxLLq+3bR82RrbRlhIg+Zbc1PZjCZ6RwmOi9SNtGNx2IkEkEAhOn0lFSFlZGU8//TTNzc0kEglKS0vRas/cjf73v/+dm266KTUp3sMPP0xLSwslJSUUFSUnLtu8eTPbtm2jvLyccDicmrV3y5Yt/OQnPzktETKIw2TnGpN92LJOf9KV3TLQRoe/i+6gk7c63kmtH6zueLn1DbQqDatylrMyZylzM+agVYleKYN0+rt55NCviMkxlmRXUmkb7squyq4gHIlzsNmPgoXL8q3C3X2azC/KAKC2pY/u3iC5WabUuhvmXMPOrr24w73sdx7mY6tuw+XyUZVdQYO3CV/Mf95F33jhj51d+5CA1XkrRomTiYTLWILh9bbtYwqAqQqDyTwxI9eP5U2ZSBAJBILTZ9wn6be//W3+7d/+DYD+/n7KysrOyYAtLS1otVo+97nP0dXVxYYNG5g3bx52+7sCweFw0NPTg9PpHLbcbrfT09NzTuyA5A/J4NsTQFN/M6+1vY2sKETlKLWeehQUJCRicpwdXbvZ0bUbjUqDVqXFpDGwee4mltqr0KovzfyGWCLGr4/+kb6IlyJrAe+b/55R22QbbSjuOSTCjSybl831cxdPg6UXN7Z0A2aDhkA4ztuHO3nfhvLUOo1Kw/zMcnZ27+XvLa9RVVBGY3cHVdkVqTyJqYq+M/VojBf+OOA8BEgogEVrHnbcicTDZJ6KoXaeaa7JZAzaMJjEOhVBJBAITo9xRUhNTU3q70996lM8+eST52TARCLB3r17efTRRzGZTNx9990YDIZUzgkkO21KkoQsy2MuP13sdusUt6tmdXl16nMwFsKg0YMCbQOdvFD/Gg29LbT2dxCX44TiIX5z7E9oVRqqcyqYnz0Xp9+NSlJRYS9nSe5C0g1pp23vxUKt6wS/PrSVzkA3eRYH37v+HgwaPd2eAM+93cTKhTkA7DnWzZuHuwC4ZV3ZlL8PwXCqy7PZWdNNmtUw6hp+aPlmWt9qo9PXw8M7fsE8WylWi4FN8zewsHjOlMfYV7+PE74TWC2G09rPjnXU9uuMK1C08VMSBE70vnvcHr8LRRunMrecdaUrkAlzoPMoRRl5tHm7WJZfSY7FPu4Y2+pfT9k52Tn2+F0c6DzKsvxKgNTfI48/Hvvq91HTd5S2UCsfXvJecix21hlXYO00sCy/Ertl+Hch7u/pQVz3i5NxRYiiKGP+fbZkZ2ezZs0asrKSzauuvfZatm3bNqzixuVy4XA4yM3NxeV6t9zQ7XbjcDhOe8zB3IQzIUCyvbiJdG4vvQ1KIRgLArCzex9vtb+DK+Rhf1cN+7veFW4vN72NVqVlVc4y8swO7KZsCi35ZOjTz0hIzSRkReaV1jd5qvF5ALINWXxy0Yfx9UXxEeX1fW3UtfXj9yebku2o6cYZcGMp6sVkqj6r7+NSpmpOJjtrunl1bxtLy2zD+quoMfKN5V/mvw7+gsb+kwTCYbr7PNS2Np+WR6PEMAefNUyJYc4ZfU+DHop8Sy6d/m6qs6sA2Nm1j3xDfuq4b7bt45jnBJW2hahChpRn4UD7MXxRHwfaj7GucC2d/u5RXhl3yENXn2fY8cayYXC/N9uSZbi+U/fj4N9DPRhD9wGG7V9imMMB6Rhd/S5+tfvxYXapQgZcoXfHl41h3qzfJ8I0Fxi73Sp+V6aJsxV/U0psOJcPzauvvpp//ud/ZmBgALPZzFtvvcWmTZv42c9+RktLC4WFhTz33HPcfvvtFBQUoNfr2bdvHytWrODpp59m3bp158yWM8WkTcbjrym6imuKrsIX9adi8nnmHOJynFpPPXV9J9jRtXvYvkaNkYSSwKwxcX3JBsoyStGr9dgMmUiShKIoyIqMWjUzy6B7gi7+7/Bv6AkmxeGmkmu4ruTqpMfoFNVl2SiGMO5EHQmvnXhCRpXuIj3PT21vPTnmqb2BCoaztNyOSqrD2Rdi19FuNl9ROmy9Vq3l9nm38B97/4sWXxsalQqz1jwqXDBRyGW8EMRIxjvGYIilwdtEJBFJLR9adQKjwzdDcy3ebN+BL+bnzfYdqWOMzAEZebyhDNrgjwWwaM3DElYHGRnSGRoaAoaFWrKNNm4rv4mnGp4fZtfg8YcKF7QxjnoaRtksEAjGZlwRIssy/f39KIpCIpFI/T1IRkbGGQ24ZMkSPv3pT/OhD32IWCzGFVdcwZ133sncuXP50pe+RCQSYf369WzatAmAhx56iPvuuw+/309lZSUf+9jHzmjc84lVZ+G6kg3Dll1bvJ4OfxdHPXV4I/10BZy0+zoIxpOTtUUTUf5c/1Rqe4vWjM2YhTfsBWBd4RVkGTJYmbMUlTQzZi1u93Xy00O/wBf1YzNkcmvZTazIWTJqO0eGkUxlgO1HjhPu66RXUlCCFi4rnCMSUs8Ck0FDRUkGx5r7CEcTY25TklbEmqIVvNO2j0giRqVtwbD17pCHpxqepzfcx1FPHXPSisZMGp0s2XNk9crI/IxBT8hED/6x+ndkG22pPh9jHWPwOEP/P/L8Bnt9AGNWBw3aG4gFaB5oxR8LAIzqDzL070EhMtSuQCyQOn6eOYfmgVYW5c6b9TMbCwTnEkkZJ9ZSUVGRejMftZMkUVtbO8ZeM5OZ4qZTFAVfzI9WpeGgs4a3OncSS8QYiPpSP4QjyTfnstheSa7JgUlroiy9BIPGcMFsbupvocHbRH1fI3W9J1BQqMicx2cXfxy9WjfufrIxzPOHdrKvoZ2ucCfZUjHffe8HL5jdsxGnN8S2nS28frATo07Ntz6+knybedR2cUOIf3zh/yOhJFiZs5RNczZyvLch5WXoDfeRUBKE4xE0Kg1XFawZFZoYWdUyMsySb8mlvq+RQR9p8ynPxKAXZTxPy+tt2zngPIRVZ+W28psAUh6GeRllo5JXh9o0lYTZwbDOoBAY69hDG5VZtOaUGBncZ+g4E407VNCZtWbmpBVxY+U6VKEL9+9TkESEY6aP8xaOqasTbYvPNZIkkaZLfmFr8lexJn8VkBQn3kg/7f5OArEgL7W8Tk/QCUBnoJvOQHfqGGaNiZK0InRqLaF4GIPGQLYhC5sxiwJLHmXpc85J+ExRFF5re4u/NvwN5VRioUpScVnOcu6suH3SEuUci53luZW8crCJRDid5fMreWVfG9Vl2WKumDPkSKMblzeEUacmFE3ws6eP8vkt1aOuZ57VwV2LP84va37P3p6DtPk6ydKnJ8t1oz7MWjOOUw9Uk9Y06q19rHDHWGEWi9Y8quvo0G1h7OZiQ8uGAXxRH1adFQnG3W+qZbgjS3sHvReBWGDcRmXukAfzCIEyOM5kFTxDwzRmrZkci31YjohAIJiYcT0hs4mLTSHH5TgSEgklQYP3JAddRwjGwziDLjr8XRPum6FPpyx9DpW2CnrDXvoiXpxBF+n6NN5bfjOvtb1NXI5TmlZMhiGDnoCTQms+sqJw1FNHjfsYPUEXRo2B/mjyui3ILGdexlyuKlyDRTv6zXss7HYrX//Dbznpb8AcK+CG0iupOdnHknIbG1cUnfU1uhRxekMcaXTjD8d5+q2TqFQSt68r5cbL5wzbbvCtsMPfxU8O/Ax/LEBlVgXXlqxPhRGGei4GGcvbMTQcMlaIZCwvwWRei/GSQMc73lSOORlT3X+iazDefkOPvbB4/IRe0W31/CE8IdPH2XpChAi5iFAUhab+Fjr8nex3HmaJvYo0nRVPqBdXyM3u7v3ElbFzBc4ErUrDRyruYGXusinv4/SG2HmiEa+qgzd3DqA2BfjCtdeQa7VzpNEtPCHnAEVR+Lff7aW5y8cta+ewZd3cYeuH/iAf8xznkUO/QkFhde4Kbiq9FmDMkMNIcTI0tDGW9+FcPVTP9Djn86E+2bmPx8iH4VjJr0OPKYTJuUGIkOnjglTHXMy4+oKnHQYYfOOcaQ9MSZIoy5hDWcac1GyhQ7k8bxXHeo+jQqJ5oA2NSkO2MYtoIkrNqQTZPHMOKxxLaR5ooSvgxKw10h8ZwKAxsiCzjKrshRRbC/HHAqTr0jBpT+/8d55o5C3Xa4QSASRjDu+rvpbFpzrhCg/IuUGSJG5YVcz/PXOU2pZeYO642y6yLWBL+c38peE5dnXvo2WgjY8t+sCYHUdHhlWqsivwxwK4gi7+1vQS8zLLhnkFzlVb+DNthX4+W6ifqwZoIxN4/bEAgVgAd8iTuoai6ZngUmbWi5DDDckZXGHqD8HBWV9PZ59BpvPNZlCgjMVgUqxVa5lSzohVZ5l0m7HOVZXuRuOLEfNoMUXyuHpZwWmdg2BqLC3PRqdV0dgxgNsbInsCsXx10VW0+7vY1b2P7qCTnx95lHsv+2qq1HysydwgmfNg0ZpTXU+7Aj3DSmZH5nec6YR5Z/rAP1+dUuH0JtsbydCQzmClTr4llxp3HRLJJN7B0umxhIlAcCkxM2o/zyMLE3VcViRRXZaNPOAkWvMy8oBzwn2qy7JZUm6juix71DqnN8Qr+9pwekNj7jv4ZjOYdDdTGEyKPZc9X8Y615X5leh8hcTbF1CQ7qDXF5ngCIIzRa9Ts7Q8eX/urpv4fpYkiY8svIMvLvk0aTorfREvD+z8f7zY/Cr9kYHUA3esB2BVdgXLHEtY7ljMusK1wzwlg4mZy+yLh4UbTvfen2j887Hf+cId8rCt/nV2dSWbo73ZvoOWU4Kj09/NUU8tCoy6hhatmeaB1hn3myEQXAhmfU7Is8/8gGJTIflL3kO05mXirYfQFC9BV5WMjZ+u5+KVfW0cavCMm2B5usebqaGfqTDyXGVZ4RfPHWPnsR50WhVzcqysWugQYZjzxIF6F//11yNkWvX884eXp+6fieLj7pCHXx/9E80DrQCoJTXLHYtZnbeChVnzz8qeSz2/4fW27ZzwnSDPkA9AKBbEpDWxOm8FMHYeznhJv4PX71K/plNF5IRMHyInZBKajFrCZj35gKZ4Mb5QjNoBO/O9IRwZxtOOyQ56RwY9K/HWw2iKF6NKS7aTP1037tmEfqabkef6xBuNKQHyTx9aQWund0xvkuDckGMzoVZJ9PkivPBOM4UOC9Vl2RP+KGQbbXx9xReo6zvB31te53hfA3t6DrCn5wCVtgrumPce7KaJv7PxHoxnE8KYDVRlV2C1GCgxzHm3zNn0bpnzRDP/jjcpnsgZEcx2Zr0IWVq2Focm91TVhpPmYIyQ00dE72bJIlMqZjte98WRP7aODCMbVxQhDzgJ73ocJdQPgK7q2jFFyWQMFTUTMV1vRFMdNxZP8PqBDgDWVOawdnE+8/LEhFLnk9rmXqwmLV5/lGMtfbj7k3OjVM6b+N6TJImFWfOpyJzHz2se5ZArOefRUU8dxzzHMWtNmLVmLstdRroujXR9GouGdF4VD8axyTbaUiW64834O17b+sFOrw5jNq6gi8ePP4VJa2JeZtmw7QSC2casFyHr516Oy+XjmZoa3nK9hs4QpywnzFLZx5EOFS3+tjHnoHB6Qzx17B0C2k4g+WM7VGTEWw/jDvdRZ1KzNKcYBxBvPUy89RBAKtwzGYOiZjKm64d/quP+/o2DxLLrMGvVrF56dm59wdSoLssmHE3w3I4WXN4w84oyTsvzJEkSn6n6KJFEhF3d+3jixLPIiow/FsAfC/Bs04upbcvSS6nKriAux5EVhWyDjWJrQaqj8mB35bc63qHN18HqvJU0D7TijfSToU8nQ5dGMB4iriQwqPUYNAbcQQ+7uvex1F5FniWXDn8XJo2RuJxgTf5KXEEPzQOtBOMhPKFeitMKyTbakEgmWlt1VkrTk+3ZWwbayDPnoFPr8EX9pOtnzuzVI/8NjSVKBj0nerWerkA3gVgoJQanMpePQHCxMutFyCt7WsnNMBA2tyD5+kk3Z2JK9PBW7zHmqRdRaV/IIoOdzkPPsF+lQtOfwSq9j/pYPn0dGWQWvPsW0nd8H8HG/ZhCMTIXrOBEsJWjcpDmE/Xcpi0iu3gxkAz7DHIucj6GzodxPt6IJrJxrAoEpzfEjiNdBCIxALo9QeoCh9HkdKLSKzQGj3EVC8+5nYLhODKM3LxmDvVtXo409dLS5cORYaTbE+D1KZalS5KEQWNgfeEVzEkrpsPfTUVWOW2+Tv5U9xd8MT8Ajf0naew/OWzfNzvfQaPSICtycgJGJJwhNwA7uvZM+Ty2tbw6atlzJ18ctWyf89CoZdlGG3E5jjfSj1alRaPSEIqHmJ9ZzuLsRciKTJYhE6vOQrG1AK1Ke0EmiBxZmjv0/yMn2Bs55059X2Mqn2Sifc51QzeBYDqY9SKksb6JSOgEXusARimOWa2iPj6AooeMtHTWpc8jvOtx3oh0s0+tJdtvpjIRZmGhH70ugSc8DzliAiPsiVhp06ip7m6nLK+SgHQZifAxWgd62XmikfesqhrlAak/Vk+s4QD1kWU41r472ZvTG6L+WD0LtZ1kLlgxYfgmFV+2FJHWeAD5NMI9U2GivJSx4vxHGt3srnUSDMeQZYWAMoDKFkWnmLAaZGZ1pvMM5Nar5nKsuY8Od4Cakx521Tpx9SWrt04nz6gkrYiStOT2WYZMFmXNRyWpiMpRatx11PbWY9IaiSZidAecdAd6CMSDALhCyftHJakwaYxoVVqKrAWUpBXhj/rpi/Rj0OjRq/VE4hEC8SDesBer3oosywDkmh2E4mF6w3009jejV+tZ7lhMus6KXqPn2aYXictxsgyZpOvS6I8O4D41rlpSE5NjxOSkMK7va6C+r2HUOUpI6NU6Cq35mDQmTBojdlM2WYYM5mXMJdOQcWZfwghGlj0P/Tc0uG5oK/nBvBCA+adCMIOMnJTvbFvbCwQziVkvQvK0rTT1HyGvQ4PdKjM/3cbJvDJCsSABlURj7duYXC7sGiMqdR5adR6mOQpmKUxuqB5Pf5gj6Q6WLDLRaGzAkxbFEGzmwK7H6QotR7IqaKxu1NF3kAccqNIcwzwLC7WdBHUdmLQ5QFKEyANOTrzzIrWBDtLlGFajNiVeBr0MSLC2Kg9HhjH1ozW/10O84wQwtXDPVHNUppKXMvQtq7osG18wRrvLz6EGD6psF4ZMH2vnVpFjzRDx6wvM3Lw0rlqSz+sHOnj6rZMYDVrSTNqzTgrWqrUAGFVGVuUuY9WIzrmKohBJRFBLalwhD8F4iJK0oknnFZoKspIUJkNnkF6ZsxStSov5VH+ThJzgsPsY9X0NrMlbhVFjpDPQRbG1kF3d+2gdaMeis+CP+nGG3HQFelBQCCciNHhPjhpTQqI0vQSbIQujxkAgFuCWudfjMNlP2/6JknQH1w2ds2Yihs7lU5VdMe4+U+mbIrwlgpnGrBchL/cGCWslCiNxlrYrvNim0BDTk1bsIWRooEmXR2mkmG6pjFXZFlZZnWQuSJbUmRQDllg+88uyqXHvJ0oQnTaLrpiPbkMMrdxFXiCdYnxUBwL0Hd9HbSwfvbuW2nA6jZEE60tyaVfyKLQVUrvjEAu1nZilMANKE71pEq3mPCpPhW/kASc977xBfVs6/VIaVqOWjSuKUj9acrqTuNo0LNwzlJGiY6o5KmPlpYz8sapx13Gg+yhHWjopddgpKChh2+5eErJCZeZ8qqsSLM+tFD9s08T1q4p440AHzd0+br+6nOXzzn/J92AoB5JhhNNhMoE8VHwMkqFPH/ZZrVKzzFHNMkd1aplNBiXg44aSq5EkFUo8CvEo6M0c72sgocjkmuy4Q72E4iECsSDdQSfOoJtjvcdp6m+mqb85dbyjnuMssVcSiAWJJqJcnreSImsBGpX6jMTJUCarJhra9Aze9aoM9mQZWdI7leok4S0RzDRmvQjJNMwnHu3ArOtGrU9QEOggQ/JwtN1GMM3Gwf50jpNGutJPpfc1vIY4+w41osq2EpuXTUtrBMvJZmz+DtJkG5XFq2hSD2BQWrlsURXm+n0UhdQoWivPtljI8u2nUteOLTuTVknDE40dmHQx3Mf/TpGzj7fTZFYVVLGkYBlGs56qgpWoTvUN2HXkaSy+drLzMinM2EBhoWpYMpoqzYGu6tqkp2VfG4WZXtrde6guvRKHff6wnBXbqhtTYmU80TLIeIlyQ3+s8nRzeMvZSSAWoMXXTqCnmWismJXVZhYtjlOVLQTIdJKbZeLKxXm8dbiL/fUurl9ZeN7GOpMqsJEMFcjayo0ofg/xjqMoQS+S1oCkNZLoOYE84ESyZCO7T6LEko3vJP2pSRQTcdR580FrINFdD9EQsjc5waNktaNKc5BwnYREFN2yzcwrqCR69HWQJMoWrAOVAclkQ5W3Ckml4mR/C6+2vUWuOYe4HKfGXUtnoJtd3ftSdtd7G1N/O0zZhOJhFmUtmNLM0qfLeIJhsF3+O127UyJwqoLifHaZFQjOhFkvQv71E9fw+Du9HOmI05VtodxjpkByslJl5GhXlP2xBL3aAQqza4iEgrT7DXSqg/QorfQ26On1zEVXF6JS246RYtq1PvJLAxTHSmnxNbJhxWJMzkx2D9jp7I2DtZy0XAtXMcDLXg9NMQt2TZQqTwdNJoWTFjPpWVmscywju/UwmliC4wMdPHH8OcLxAXRGDSpzjMv1++nyFVDjbSTRdZyrK25J/eAfaXSzp9ZJvfEN/EYX4ViCm+3zqY3l44/2YInlcyWkRMt4DD5MagwJjvrbgOSPmdMbYqA7Hbs5P9VOur1dRts3F1XcS7+soITMzF/aR/G8GEc9yX0XWZenwlBn28BGcPp8cOM8ak720tDm5UijhyXl57ZHy+D9Iod9yM4mYOpVYENRoiEknQFJZyJ6+AUiOx8DOT7BHseH7+/3vGuTt3P4phodqLUoPhcJnyu1OLr3SaJ7n0x9jp/YkfpbsthQ20spKKziH+a9F9Ra4m2HuUETp7NiI11KGJVKTTQR5cXmV1KzSzuDySTcXd37aB5oxWHKxmw0kqfPY1XOctL1Z/dvYGRLd3i3qVmDt4lYOI5OpRtW0rs6b8WELwOXei8Xwcxj1ouQ3jf/THl3MwlLPtXlV2OLJfC2HEfb5eTGPBebDGFeySmhKWSmI2rmuNvMQDSEXqUjFjNwRdhFlipBT8KKWgny9vEdRHp8yHE1kjrB0eZe1hQtpk9dy1W2ALbi1bQ3dzFn4AS5Rpluc5SEugxnwojdoMFaWky+rZzX6p5jvsdFDvDGQBhPYIB0vZV5jiuxxmtweLo5KUfJlhP4fK10170CejP1Zj2FhVUcb9Xh7i3FGksQthbzett2TEWZtJLN+lwV0ZqXJ31THXwbnV8wD07Fm53eEH98/QAupZVch4a4rpeO7ihXFV5BkSfI6wcHSMglbLg2hk/TBpI1Fas+dOzdBNfJelUIzj1GvYbrVhax9bUGXtjVSq7NRE2T55x14x28X9SOuWiKl4zpYZMHnMRaDqEtWYJksJJwNxNvPYTic6MkYhANkXA1QWKE6FBrUectQJ1dghKPpqZW0BQsAo0eSWciVv8WktaIpmw1ktEKcoJ4424knRE5EkB2NaMurEQyZaCy2JDUGiSrHdndTLx5P/G2IxCPgNaIZLAgmdKTdvk9xP0e4if3Enn7t6AzQSQAQE5WIQXFS9FWbkRlzuSK/MuQFYXa3uNEElEsWjN/qHuCnqCLnuC7oufZphe5pugqqmwLU2XEY4WYJmKwpftRTy1mbdL7M+gZua38ptTMx/udh8Ys6RW5H4KLgVnftr31p58j3u8atsxlW0az38gCpQG9EqHfUUhbxVICkkJ9XwM6tZ4iSyGVngCqll3sUicISkZK3HGOSnZOZESZ41fRhhWftwhVuossWyMZUhTZn06vs5wNhh5sBUa68x0UZFTT1u0jbnFiiuYR0ndxwlPDMp2FG6tv5UQoxhuNB1hftox5Ri2x+u28HOhgTzyKlFChwcdSfSbaUC/HzXqq51zJIuvyVAKrxtFKS7AhWXmQiFARVbHG3Tdpe3p5wEnf4Tdw9gZRVS3nRNxDwzEdXfEWsPawomg+fX0y7Y0mAgM6vP4oABXFGdy6MYeuaPOw4w1NyK2c5xBtlKeBUCTON/73HQKhGOuW5NE7EBl3ioHTZbIwjBINEXzm35F725FMGSixEMTCYxxJQpWegxzsR1e5EfQWEh1HU8JmslDPoB2qrALk3o6UGBrqpRl67w+1T/a5SHTVp46vyDLxxp1EDr+I4nMm7VUU0BogFoHBWi+NHk3BIiSDFXVOOZp5a5HUGpRIgLhazXHvSRJKAq1R4q2mvRx2Hx02tlpSU2mr4IY5V5Oms5JlyJzSNR+rvfvItu47u/YNaxGfbbSluq9W2hZeEp4P0bZ9+jhbr/esFyH9u57DN+DHVbuPdF/ThNv25cxhW56dAHEWq9JZl7mQN7r3sj3SjaQ1sBYrpOVQ46xhUUyiWLOUZ9xz0JsjNMXeRGXyEpN1RJxzSDhLsKl8LNR2UBsrwJvdiy7LjeTLQRvKRTH3sCBrPmmaDByZJtZU5mIxaonWvEys9RBH5DR2+r24AnmELRJrswvJjbbSYbdiUMpZYFNod++hsGAxh1wnCXY1U2XOotthA0VheVSNJr+CY2HXsMnFSkzlxHuKMcT6WGV14uxy0udt4G2HAZekR+UroEyVSUFOGwW2VfzuZT/9MS+qdBfKgJ0VNjN2qZ6B4kxuWbiU9JajKIBu/hXDHhriR2H62H3cxf8+eYR0i45NlxWxbL5jSp6Q08n1UCIBlLAPOeBF9rQg93UQa9oL0eCw7VS2EtR581HnzEPSaEGtRZVViMqUMWpcVVYB0aOvIvtcqKx2dJXXpETGUHsG54BKCoXwMPEyljAZ63xGNh6MNe1BMqaB3kyivQbtvLVoS5cTbzlEoucEifaaYftLBito9Sg+Nyp7KaZb/hlJa0jd97W99bzRvoM2XwfeSP+o61eeUcoKx1JK0gopthaes4klhyazjpyHZjYjfm+mDzF3zCSkr76FqMuHbs417G5wsVR9AkPz26gy8wlhxOlLkKvqRd19jMyeZq73tHLcpKcsGCEcf51yrYYBsw4khXJfBFQaEhYjCzSZFCyv5uumdNyylTeOmvBomshO07P6ypV0dip0vP0sc+RONGqJNweKiAJpA3oqlQZqvQXsaQuQaWjGntXESzvKMJpLSJMVcsImcs0xrkn46E3LpTd/DSpJ4q0uC/rOXqqlNzmW1U2DMcKO/gYScQ2L+/0UuZz0GxZSp5MJkk7zvsfpV2t5R2oBQKux4hzQcLTzHZYF+wma+nAUzuegPgefNogc1OGQilhj6qbA1cu2g7vw+uehy3Fjyulj7epirg6Geauzg36ljyMn/aw+eQIkUBmsqTdPecBJf8tbyJkLzmk/E8HEDHqi1q0oJj/bTKc7QHdvaFwBMl41lRL2IRms73oL4lESHceSD/i+TmJNe4nXvw1jdIRR2UsxrPskcn83CVcLmqIq5N4OJKP1XXEQjw4LF6rSHGiKFxPe9TiyzwWyjOxzEd7xJyRdMvFy6L2lhH1I6TkASPr8lJCItx5CM2TbaM3LxJr2EO86jmH1HcPuxaGJsUMTuKP125E1WpAk1NlzUGfPASDR24HsaUGJBIjVvobc1wnh5ENPdp3E/+vPocopR7blENNlsqByIwsXf4KEnKAv4kUtqXn8xDOc6GskmojS4D2ZKhPON+dyddFVyfJbjemsGqlNpfpFhGoEM4lZ7wkBpqSQlbCf8Fu/IeFphWgI1BqUkC+ZMCep4FTfgrHozVjEoUgR8zKilNo09JotHAh7yehVU5FuJqNyLZLVwcmuATp3PIvaV0OjRUudezG2jJNErR6kvgzqPdWo0l3I/XayYomUF8WgU1Op76QhUUix8SQWcyNFisQOkwqvVkIVM7DAnckVpbmo55axr+MQLS4XHo0XOaZHFzbQY1QhxXKwZoaJqvwY4zouD6ThTy8jkRvAMxCi/XgGbpeaNLk/NXbcZOMjtxTiU3dQlV1BVixB98md1Jv1LEovHdMTEq15GVX3UeTcytNOXDwXlRczkQtxXq/sa6Opvon1Ob3URfN56mAACfinDy5l0ZysUXakHtynQheD6xJ9HSS6jidDD/Y5xOu3o0T8wweT1EhWG5LejDq7BMmchTp7DvKAc9ix0RpQQgOpZFTt3MsARo07KEAGPSCDHhHJYEXtmJu6v0Z6QdSOuUgG6zAPiCrNkcxNqd9O3NkE8QjauZcNEzKx+u3IkQCS3jzs3p3oexpcpy6qTpb9KjKoNYRf+i/k/u7hl8dgRbvgKjSlK1E75g5bF46H2dNzgJP9rdT11qcSXQcpshawee4mFmbNO+08kpECYzBcIwHzMsvo9HcTiAVoPtV3ZLaEaoQnZPoQ4ZgpcKY3pyLHky97cpx42xHU+RUQjxJvOUDs+FvI7pYx99uRZqTOrKMiEGXtQIg+eyH1jnyqiy9H7Q2x/fjTNBhkKtLLWVVxDYfrXyY/oOIdfz/NVjW6aAnR7mLicRl/KMYypYZKbTtHY4UczpCwZHaQ5dPj6ytEn9GNq3cufWE7eq2am7OayI80clydRbclTq5PjV1xc8RkImHU0qyJgTqBBZlIv4OwIYpaH0XjTmexV+GoZGMgLYjan0N1YREfv7ECU6yPeOthvDnFqfDOWG9QQ93qppib8Bl4QgYfMmPF9Mcb72we7BdK9Ix1Xqc79mTbO70het55jrm0Es5exG+b8qg52UumVc93P70ao16T8g5IxrRUuEOVmYcSDaEpWU704HNE9z2ZzIsYC60B7YKr0FZsQJ1VMO45Dg2PDA2xGFbfATAsdCKHfSQ665CMaSmPxdBKnKHrxtp3rByQQVsGRcpYeSODAmnouBNd55Hf4dDtYvU7iB1/E2P+XMK9TmRPa2o/dcEi1I4ytJUbkXQmkCSkU43gYokYO7r2cMR9jNre+mHX02bIIs+cw/zMMqw6C/Mzy0b1ShmLoUKkxl3HWx07iMsyBo0Og8bAvIyycVu/X6wIETJ9XNQi5Ac/+AF9fX18//vfZ8eOHTz44INEIhFuvPFGvva1rwFQW1vLt771LQKBACtXruSBBx5Aozm9KNL5vDlln5tY3RvI3i4kcxaSKQ13fyeHw27meAYo9HePEiUejYrjJj3zwgp5eQtBZyTeVoNHilOfkUmBYwGu3Dks1NvJdHewvV3C19FCj6kMt1qFS26hvysDJWLCpvJRbejkuCYbp8FP2oCJcm03x006fN4iMqQABbZ6qgJBdKoE+41WiqJhwoYYzaTTYVahxHQsdWq4WtfDiQIjLQ4bJWkLyXRnpZqryc4m3snOpE4nj/sGNfQBl3/jJ/DGzad/PU/jwXw6guVcHuNMhMtY+4z10J7omFOxVR5wYug7TjhzAVjsfO/RvQz0dHJLiQ91UTUVNhljy9sofR2gKMkwibPp1Fu9FhIxQEKVVYgSCYDehK56E9p5a4mf3IPaXjquh2CkN2Ky6zV4v6DRDfN2jDz24GzVQ70ZQ9fH6reP8sZNdL2Hek+iR18ddeyxtkt01o3ynIz1/TmWrqEvqCLWuCuZJ1P3ZrIiZxBJApUW3fLN6BZvSokRIJU7srtrP292vENfxDvsXAc7uqbrrHxgwXux6ixj3gNDk1KrsivY2bWPE72NeMK95Jlz+UDFbSkvyWwJywgRMn1ctCLknXfe4Wtf+xobNmzgX//1X9m0aROPPvooeXl53HXXXXzsYx9j/fr13HLLLXz3u99l6dKl3HvvvVRVVfGhD33otMaarptTiUeJHvwb7kAPRwMdVESSy46lpVPSF8QU7OS4Sc+CYARb/N1wT0q0BKOsDauJ51ZRb6hintJMWmkVquIldLoC5GUZie75C4neVnbZs9gVDSP5cojLMl6pDWO0gCyrnphylHn9fhzdOnxaO6uy+lB0Vt5JW8GANUi+vhTF42d54C0Goh6OW4zIhqugqYFqTTMZGUmX+EBJZcoTkhVLjPqRH/rASJu3hFBCP26C4FQf5CO3G/oZGPUAOl2BkHA1E2vcjbZ8NSprNrG6N1DlzANFIXbsVTTFS5B0BhLdJ4i3H0WVnoui0aH0tqHOKUe/9sPI7hbkYB9yXxeakqWoM/OndH9MJTQy+ABUAE1+RdJzMSL5cug1kCzZ2NLUuDq6ibcepqUfmvfvYr62C70aLAQmNkqlwbDxbrSlKyYVPeN5K8b7jsf6PJHAGDnOeCJnqkJyrHtjomVDPSZybztIoFu0ccwk2MF9MzQBnAffefcc/R7izQeItx0m0XZ4mD1Sei76FbehKaxCMgwXFAk5QfNAGz1BF8f7ThCKh6ntrR/Wzr7KtpCbSq+jyDr8fhsrOXVX1z72Ow+z3LGYm+deDzCrKmiECJk+LsrEVK/Xy8MPP8znPvc56urqOHz4MCUlJRQVJcsIN2/ezLZt2ygvLyccDrN06VIAtmzZwk9+8pPTFiHThaTRoV/5XgqAQcf1623bafLUYly0ECJ+6jv3IwVjXKXLORU7lqg49AwEoiwIRiAuo2nZySJ2AhCqf5m+7EKOW4wk+nrJ6vcgmTIozllAd7CdlYtXYMuyDi/r6zAyPxAh97rLgXcFwXuG/ujSimre9eiPvkp2sJ+woQtnpoRJMUE8gspgxWGfj4P5wx4ewLC3eMPqO4i3HgYiqcS/5JjD28ePTAwcTziMbD0/8rNksJJoPUTcYEW7cEPygdTTQLRxN+qsAlR6E6qsIuItB0GRUeIRlAEnSjQEciKZ66AoxI5sA5VqVP+KeOPOYZ9lz7shONndTKzhnVRPCYDYkW3oV7+f6OEXUaXZkdJyUJky0Mxbg8r47vTyqfyC3HIkYzqa4sXJapOwL7Uu3noIuo6nHoCS3oK2dDmxk/tJtB1GScSRe1uT5wbI3SdIuE7ij4WSOROJOHlynDzDGDenRo924dUgx0n0tqMpWozaMRdVRm6qcmWkTSO/m1j9dmKNu9EUViIZ01BC/cRbD4/5HQ9+dyMTRQfvl4m6+g423UvlgzC8SdpUOwOP1bxvomXygJP4EE+IAsMF4yk75AFnMg8qqwBPwxvEvL0pG1UWG7qqa9FVXXsqvKsQb9xNZNefUfq7Cb/6v8ny3znLkYzp6CqvQZXmQK1SU5Yxh1KViZW9/WhKF+OeJ3HEXcvLrW8wEPVx2H2Uw+6jlKYVszpvBQ6jnVxzTqoh2aDIAFidt2LYnDNDJ8XLt+Tyetv2S66iRjAzmBYR8p3vfIevfe1rdHUlWyw7nU7s9nfnYXA4HPT09Ixabrfb6enpueD2nktGtU3WW6jKrsA45B998bw1FMXCoNERq3sT2dmI3O9EiQZRAn3URj3URXTISpS1gBL0krv/L7wHSLQeQJuZx2qrDTn4CpLWwJqCKnQV15DwdqEyWNAu2oCk0qAk4ihBL7GWQyTaDqOB1ENBHfZRonajdsxLxdSHviEmY+npw36Uh1ZVWLPMwzwhSthHor+b8N4n0c2/YtiDY7w5bgYrIVSOucO2HzxW6M1fo8rIQ5VZgOx3E/jT11GC3tT+8Z7hMfbxkKx2FJ87KUAGk5BValDrIBEFrSHZ/MqYhhLoS65DQva7hwkQACU0QPj1XyTt721LLY/s/BNoDUkXvzEdua8j2ZArFga1Fu2CdcjeruQ1bj6A2laI7Pcg6ZMiEJ2ReP1bRN/5Q3J8RSbRfmTY2InOY+9+ONWfQ9FbGdDY6PCrMMR9HNQs5rqFJtJ9J1FZs0cJwMEH6uBnyWAl3rSHcF/nKC9HwtmUrJzp70G/9KaUV2Co50LDcJEQ7zo+TKxM1tV3KOOJjal0Bh4rZDMZg1U78dbDaId42obek0MFudSVjiYeSP27GIl0qq27Eg0hZRWh0hog7CPRXU+84R0AYnVvoJ27Eu3Cq1HZS4f923BUXcvGYjvrCtfSMtDGfudhdnbt4eRAKycHkjkoWpWWRbYFxOQYdqON8oy5Y87kO3RSvE5/N0c9tTR4m4gkkqGjqcxpI8SK4FxwwUXI448/Tl5eHmvWrOGvf/0rALIsD6uTVxQFSZLGXX66zKQW4nasLCyek/o89O93GWJv0QeHrZHDAbSddVjaDlARVShYfB3uF/6PSEfygauWo8m+DUPe2BMdx4ju3jrsON6MLGqlKPN9QfKy52DILiB9QRWSSkK34VZini5CzdkY5y5Dl5UHQP/e5wl2H8VYUI56yZWYypajzcwllmUmaNWTCA4Q6TiKwapHW3YTBVe/NzVef99xBvbuAwm0Zh1qUxqmpWtS+/vUESCCMdBCqDXZk0ENJHqb0ReUYVC8+Lc/Q6y3i5i7HSURBzkx6spJOiNKLJwUE0PWq9OyUZvSUGJR9MUVaMwZ6OzF6LIL0TlKSAQHGDj4Mv7Db6CgkLbieszlK/G8+ihyYADzojWkr7xp2FhKPEbU04HanI5KZyA+4MG97efEvU7MCy8n7nURPLE39QZMLEyi49hIkyERI3bslWGL4r3Jh0oqVhoY8vfQ81ZrMZUvQ2crINrbhUqjwzRvFb2v/R6tLZ+c9/4TTr+M529bUdoOkQj4+H1dDp+/fCk18UKWZORSUPbu1PH9LW8R7E5+h+llZcSWrsHT20C8341y8K9YVtxI1N1KIjhAXEqgslhQSwlMMTfpp77vwfvEZNWnlgFgtxLL+kRyfqOy5Wgzp/7vMtbXTbDveOqeOR36W94i2pK89wz2bNKHnO9U9h16Pfpb3kL2tmKatzz5ee/zxOMB1BlZpJ+6NrrsYvzHXyPW1421ch1yxJ/6twIQW7qGoFWfWhbpaqJ/3wv4D78OsRCx428RO/4WpvIVZK68kahFh7l8xbDrlZ+TyZp5i/lU/A52tR3g7dbddPmcOAMeDrne7WliM2VSnlvEfFvRsNLfdcYVWDsNLMuvBMDaaaAoI482bxfL8iuxW8b/bvbV7+OE7wRWi4GFxXPo8bs40HmUZfmV5FjOblK/s2Em/c4Lps4Fzwn55Cc/icvlQq1W09/fTzAYZMGCBajVan7zm98A8NRTT7Fr1y6++MUv8olPfIK///3vAOzdu5ef/OQn/O53vzutMWd7rFCJR5E9rahOlUjK3i6UoBeVrRgl0Ef04LPI3h4kSyaEAyiRADvSDMm8k1Cctd7k2/xgwuyCYARbQkKVkYcc8CDpLWgKFpLw9kAimkzEK6hEDvtQZ5cg+9wkek4AEomeRrRlq8m7fCMupxe5vwcScZSwn1jDTjBnQiKG3H0CSatHbS8FSSLWuBtiYRRJgkgwmSCp1b9bCjkWKjWqjDyUcDKkop6zHMOVHwMUFJ+b6PG3ky50RymKzzOqomJo5cTQss6hb8zxzlqiR19FV3kNmvyFZ/T9RI78nVjDTiSDBW3JUpRYGNnZiJTmQL/0ZuT+7qQnKRIg3l6TnJjNUYZkzUbxuVHnV5DoqifecQzUalRpOWgXbiDRWQfGNPQLrhz2dq9reQvv0d2pHInB0t3L0nt4uTOTo241FVlxqvQdpM1bzpVrl6T2dbW30n1kF7nVq7EXJtuND3vbN6ZPWBo7uP25rjg6myTkM/WEDO47WV7L0M92u5WO154ksv8ZiIeR0nJRmdKnZLcSDSJ7u4kdfzP5b2Ww26zWgGTKQL/0ZjTzr0A6VbY71nU+2d+KK+RGQuL19u00n/KQFFsLWWRbQDAWZKm9mvmZZWO+0A0t6R1vHpqRnpCZkFsickKmj4s2MRXgr3/9K7t37+aBBx7g+uuv53e/+x2FhYXcdddd3H777dx4443ccsstPPDAA6xYsYJvf/vblJSU8OlPf/q0xhE353AUOYGz+xi1YSeLMspIO/4O8YadbNdGh1XxnBWS6lSZ54jbS6Ue04MxKVojKqsNdc48dNXXoygyKks2klY/buLieA+uiXpIjGSsUs+xEmTH+nushN2RfTImyocZWX0xVZtHJkcONjErMofpObKbF1rTKFe1scTYSdC2kAXXbUk1NHtlXxuHGjyjWr1Plhx6vpmKsJkJPWbsdis9jY1Ej7xE3NOG2mpDstpHiZ/JbJX7e4jse5JE1/FkCPAUkjENVVYRhis+Sry9ZkJhFpPjvN2xk5db3xjVtXVBZjllGaUstVdRYMlLLX+9bTtvdewAJJY5kvfzRIIEZkZ4RoiQ6WNWiJDvf//7vPPOO6kS3fXr1/PNb34TSZKoq6vjvvvuw+/3U1lZyYMPPohOpzutccTNOTHRmpeJtRzEa8vlRG4hCw0O7Na8ZDJieg6JtiMkehqR/Z7knB99HSixCJJWT6KrDsmSjWSwIA+4UKXZk42boqdEzOD05koCNAaIhZJlijoTKlNmsuxRq0c7/4pkU6uQD1VWAeqccuJtNcnkUvtcEu01kz5cJurjMNYDfmS/jIkaVI30ngztTwGkhEqir3PMao/xRMvIqpixxj5dL8PgD/LIbY+88DiJtsPUy0XURPKZI7dSGyugsno+H7vCRrz1MP0Z8zncI52zSe8uJOeiZPtsGfownOh+HPq9TyREE/09xJv2Agqx2tfenUFYUqPOnYcqZx66iqsm/HcRjIXY3bMfb7ifhJJge+cuIoloan2+OZfljsUY1AYKrHkc721AdcpLst95CJC4qmDNjJ4YT4iQ6eOiFiEXCnFzJhnvAXY2b5CKnABJheJzvfuQVWsxB9vwS+kkuk+gLliEypoNai1yXwfxjmNoS5YCjOshGO/vc1GCOXL5REJg5PYjxcjQygkgVao6kbA5U5snYug+OWVluFy+YULLsPoOPANhmvftoF03h7Aui5NdPhra+7GpfHzUUUO6OoKlYg2JeRtSkyOurcq7aMTIhfTWjPcdDX0YjrRnaCmzrvKaYffNyIZrY3nrtIuuQfZ2ENn553fnslFp0C1/D7qlN6USXyejL+ylxlNLm6+D/T2HCSWSYR+9WocCZBuyWJ23gjxzDif7W4d5Qkb2IJkpgkSIkOnjoizRFUwP41WhnE6FwkikU8lu0ohjWOYUE3Ilc0aGos4qRJ1VmPo8VonmVP4ei7HOYyrnPLLqYqwHzMiyzaEhn8SpB4imeHGqpHOwCdbQcSc67lRsnoih+3Aq8XJkNYq96lrshcV0vN1ETa2TlRV2EgmZgt464v5+mhUD/Z4szCo3u2udSBJYjdoJZ+AdOnPydIuVyUp5zyVT+Y5G2pOsjEqWMsu9HanycrVjbur+GXr8WONuFDmOKj03WZHmdyNp9KA1ItnnJpP3nY1E9/6V2IntqDMLUWXkoq1YP6H4yjRkcFXBGgByjA52du+hK+BMeUc6A9082fA3AKxaC4vtiwjEgmQZModV99W46zjgPESDt4nbym8aNrPvTBEngpmPECGXEFPtp3AhGfkQnujvkeWjQxnvzXTwXFVZBaleDiPfkkfaMNEDZui2I8s1hz50hpYwDz3ueBOqDeVMvqex9hm3D4eSTNeRkPjy7YvZu09NY52W3f0OPAcDzM3vwZ5hIN9uprose9g4I0XHkUY3hxqSIYKJxMqF5ELc56czxtBttTCm6B7ppVPCPtSFlUj6ZNdh2dlE3JB841RCA6gsNgyr7yDR00D4nT+i9PcQ70+2L4ge/BuqrEJ0S29BW375hLYtcVSiVqnJMzvwx4JYtGbe7NhBg/ck/lgAX8zP9s7dbO/cTbG1kDV5q0jXp2HSGKnKrqDB24Qv5qfGXZdKSp3KJHoCwSAiHCM4L4yXl3A2TBTznywfYKzp3ycLvYxXATHZmBOFgMbqEHquEyonc00PFRIAT7zWQH8gSigSp901vO9JdrqBlQscvO/qMlSSNCpxdSJPyEzykkyFc/E9jHftpxoKHeseGat77tDW8bGWA6jMmaizS0g4m4i3HEhV1qjzF6LOnZ+c86d0xZTPyx3ysKtrH9nGLOr7mjjiOUYgFkytV0sq9Go9MTlGmi6N6uyF3Fp2Ezq1dlo8ISIcM32IcIxgRnMmoYXxmOjtc7I306EekaEtzwcZ+TCYimdkKs2zRh53LM/EubxGU8GRYUx5LV7Z18ZAIEq6Wcc/3LwQvVZNXUsfrx7ooKG9H3d/mG27W+nxBrEYNJTmp1M9NyslYIYeayQz0UsyEefzexjv2GN1lR3pRRtsmjZUnAyKiaH34KCIUWXPgViI6MHnSHTWkuisBbWW+Ml9yVLzssuRVBPPzptttKXau6/OW8nfW17nhZOvEJOjmLQm/LEAwXgy+dwT7uX19u0cdNWwzF7NnPRiyjNKgWS1jQjLCCZCeEIE54Xz4Qk5n0zkSTmbc5jqpHMX0hMylPG8FbG4zF/eaORIk4cuT3DYPnqdmssX5WBL03PZotwxvRxOb2jc5NaZ6iGZKZ6QiSb7Gzk/z9DjjEpknbeG2PG3iBx8DsL+1LbaRRvRLb5hyuc62DukN9SLLxrgujkb0Ko07Os5xIqcJfhjAZ6ofwZ3uHfYfhatGVmR0av1lGeUcsvc68+bGBGekOlDVMdMAXFzXnguth+F8yWWpkOEnctr/8q+Nl7Y1YovGEOvVaPXqvEMhFPrLUYt+TYTpflpVJXa6HAH8AWjqCQ42OBhbr6VD14zH71OPeyYgyGd6rLsYaGhmShOTofzdd9PJlaiNS8TPfoKihxHnT0nVZ0lh30kuk+gMmegSs8luv9pkBNI5iyQE6hsxRiv/TySbvzrPZVmZK+2vsXOrj14wn1E5Vhqor2hZOkzyLfkkWlI54r81RjUBiw6E0bN2X/XF9vvzWxCiJApIG7OC4/4UZg+zvTaj/RQDHozApEYZoM25dFo7Ojn8dcbaOocIJ6Y/OdDo1ZRkmPBH46jKAo5mUZUkkRMlul0B0gz6rhqSbJh1liN0i4mzua+Px3BOlYjOzkSQNKb0eRXpKqzNPkLh5WSJ/o6SHQcfbePD4DOhG7pzeiW3AQoqY6sg0wlx8Md8vBUw/P0hvvIMmSyyLYAg8aAN9zPAdcRWgfaiCujmxRqJDVXFaxhoW0B8zLmEpfjGDWG056eQ/zeTB9ChEwBcXNeeMSPwvRxptd+ZNLpeN1TB8XKojlZyLJCny/C9ppu6tu8aDUqegfCJGSFsvx0ErJMc5dvZN/cUWSnG/AFoxj0GtJMOq5anIdGraLN5advIEIkliAn00hpXhpGvYZYQibToqe8MB2VJHGi3Uuhw4LZoD3t8z6XnM19fzrN1ibqczNW6GbQU4IE2gXrUGeXoIT6iex6HCUwJIyiUqPKLMCw4TOobacnBN0hDzUde5MzdpdePkxIheJh3mzfwfbO3QxEB4jJcbQqLTE5Nuo4Ro2BNJ2VeRllXF+yAZsxa9Kxxe/N9CFEyBQQN+eFR/woTB/n0hMy1mdfKEZTxwBz89OwmrSpkMqeWid6rRoZmUhMYfVCBxtXFDEQjHL0ZC/tTh8VJVm4vSEONXro8gTo90eJxseZG2gKGPVqQpHkG7ZaJZFm1pFm1lFekM6ikkwMOjVmoxbPQJiy/HTSzBN3W57sGkxGQqXi9T0tZxRSOtPQ3VTySgZzRga9JYPVNYn+bqJ7nyZ+cvfo6RT0ZtRZheiqN6GZs2xKtownpAa9KfmWXOr7GkFRmJ9Vzqutb9Lh7yIqx/DHAuhUWqIjhIlZayLX5MCoMaBT66iyLWSpo5q+cB/ZRhsalUb83kwjQoRMAXFzXnjEj8L0cb6u/aBnZFB8dPcFOdrUx2ULHaytzuOJ1xoYCMaoKM5IiRMgJVzqmvtIM+t439XlqQe0oih0ugN09QZp7OhHrVbR1uMjFpeJxBKEInHMhqSICIbjpJl12NIMaDUq3P1hunuDE5k8DJUkkZOVHFenVWM1adFp1EhSUsA4Mk0kEgkON/Zy2UIHS8qzqW/r43BjL6V5VkwGDcvmOyYUF7uOu9h+sGNGhJTGmipgaNfWoQmuib7O5ASSkQDh136GEh5+/2gXXYNu2WZU5swpjenNKeZY2DXmJHeDjc4CsQDNA61U2hayvnAtUTmGTqXlhLeRPd0H8UV91Hsbh7WYH4lJY6TStpCcjCz0spE8cw42QxbHPMdFVc4FQoiQKSAehhceIUKmj/N17Ud6BZ56u4k9tU5WLXRw25Vzx/QaDBUune4A7oEw2WmGYUJk6H6DZb1Dk1bz7RaOt/SNyk0BONDg5u+7W8nJMtLQ3k8okmDZfDsn2rx4/RESskIkliA3y0SXJ0hCPr2fuwXFGViNWmpb+wiG41SVZqFWq+jtD7NxZSF6rZoih4U8W7Kp2Nl4Qs41Q70SMHp+o8F8kbHmM4o170dtK0LubSfReezUZJSgLqhEO/8KNKUrkt1bx2FkMuvQvJIadx37u/aijYTJySjGbLaNO0FeQk7gDLl5/uTficSjzEkv4rDrKG3+TlRIyGME+sxaE2pJTZrOysKs+ZRlzAGgPKM0lQTri/oxa02opIlLlQWTI0TIFBAPwwuPECHTx4W69lMJVYzVGG0gGGNVhT3lKXjqrSZ21zpTHpXxSnvHqqoZGhrqdAcYCMZIM2lpdwWQJCjINhOOJlhSbmP1olz6fBFUKolINIE/FCUWl5EViMdl3jnaTc3J3jHPYzLSTFriCYUcm4kFhRlIUjJUNFjCHIsnUKtVqYnhzpapXPvJZnoeaxLGkTM2y/3dyfLeeDQ5CeUpJHMmCUlHJJZA65hD2prbUWe8Oxuv01XPkZNvU+moIss/MCw05A55+Ou+3zAQ6iXNmEXMkv6uh2ScnJKhomZ94Vr8sQB7uw+y33mIdH06C/Pm0u7p4Yi7lr6Id8zrYVAbmJNWhCvkxhPuo8CSx/UlV+MwZWPWmLDqLOjUpzc5qkCIkCkhHoYXHiFCpo8Lfe0neyCOFCIjtx3pUZksITbfbuG1fe2p0A8AEiwozqTT5U95TkYu63T5x6z8ATAbtKypzMXdH6bT5cdi1uHuC+HqD9Pvj7K4zEaezcRf3mikpzeEWi1hMmiwpxs51tKHPI6HxahTYzJo8AxESDPr2HRZMQV2M9npBoKROBISxTkWNOrTeyMf7xqdDpN2Ym3aAxpdcubs/h7kAeepfiMKRIeHwSSDFW3ltahzypCsdiK7n0AJ9SMZ00d1KJYHnHTXvcLRUA95+gyaMzKQdCYAmjoOsCAQYUPh2tT2g31KJGCVdQ4ZPa1oihfTq1WnvCsLi+fgcvlIyAlafe30BF34on52dO4mKsdI01lo9XVMeD1UkorStBKMGj1ZhiwiiQgZ+nQyDelk6jNI16fRFejBqDGwKGsBapV6wuNdKoiOqQKBYFqZrDPqyPUjt1lblYfV+G4OSXVZNr5gDF8ohtMbSomVwe6sg11e08w61lbnpZJiO12BVJhnYfG7uQsLizN5ZV8be2qdHG/1cvWKQl7b105Lj49INPl2bzZqsRqTlTVHmnox6NQpD8rGm5L2Or0h1lbljhJbjZ39PPP2SQx6NWuqCzja6GZ3bQ++YIxQNEHo1BgDgShbX2sYdX10WhXlBelkpRlo7hqgOMfK1csKyEoz4A/FyM82oR7R4XTotTpThs51NDgJ40SdWAde+AlKNIJKq0NtKyEeDRMLh9ErYQj7iO57EgDJageNDsmSjXb+WuQB96gOwRnuTq7QGiDgoUclU6dzU5JWTKl9AWFtNyczM+g61W21xl1Hy0ArJWnF7Gx8Fbm/m8sSQXTzR/csUavUlKaXUJpegjvkQSNpqMquwG7KptXXTnfAyUHnERbaFhCTYxx11+GL+QnEgvRHBmjsPzmla2fRmsk1O7AZslBJKmRFZqm9iu6AE1fITUXWfDIN6ZRYi5Akib6wF4PGgFlrOuPva7YiPCGC84LwhEwfM9kTMtU8iZFJsEP3HauCZawwz0gbnnitAfdAGDmhoFJLWA1aHLbkMQdzTYCUt+X/b+/eg+Mqz8OPf8/Z+0UraaXVXb5JsizLV2yDTcDGuOEmGxlDiOs0dOphJv0NwR13ppQAk0ynoaHEUyY0vUwSQpMmM9zaxODGhgKBAgY7FrYs27rYsmTdpd2VVnvfc3bP+f0htEiybGRsa8F5P/9492j3nFfPrncfve/zvu94z8n4sfGhn4m9D1Pb4vFk8cKBUxw77aO80MnieXkcaR7EYJTo80WJJZIklBTDoQRW89jib77R+HntnchklDEaJCQkivPsWC1GVlV7KMyxsaA0G5NBRpKYdm2NSxm2mW5zx4kOv/Mu9va3ybFBrtOSrikxlNWiNO4n2X18rKdES05+osGInDcHuXQJptIakh0NpEYHMVXdCIkIgcI5HA51Mt76zmAXFoOFRCrBXNccACRAT0T4eOAoOrCh/CtgcXJ0qJEscxY7r/8acsw66bIzWWRtopF4gI5gF4lkgkAiiMvsJKAECcQDDMcDeGN+7EYrCU1hKOr7zPMBWAxmdEBJKRglA3Nc5bitORTaPSgplUK7h7mucnR0nCYHQWXs/22psxhZkklpKRIpBbvp89UXzcbqxGI4ZgbEl+HsE0lI5lwLsZ86HXi6DfOAiw7zXChZma44drrHj7tQQjQ1+VlakU/HYBiXzZhOYJrafbzV0Es0ruKwmbj1utJJq8Q2tftoaPWSn2NFliSCEQWHzUTjGT9xZezLfCYLwjmsRvKyrcwpyKI4387JjmESaor8T3pTVlTlf+awzcRC1kDZVy4Yz2WFOnL/SZrVEvLK5tDnDbOsUMfR/BpaZATZ6kCPBtAjI+hJJb2ZHpIMFgcggcWGpfar6Q363m56heZkgPmFi3E6POmpvOdGu1F0hZWuBVR0NHMk6cOQW8aNy7+GFvbz29bXCBglit3F3Fk+eVn4icM4VbkV9IUHPnPBtZlsvKfrOn2RAUJKGG/MjyxJdAV7OOY9wTxXOXk2N60j7cSTcQKJUWCs5ySsRi54zqlkSUZGQpZkknqK2rxF9IX70YE8ay4m2cQidxX5tjyUlMKZ0Q6W5tVQm7eISDKKw2hHR+f3H/de9QUAxXCMIAjXnPGhl6FAbNJQzcShHeCiwzxTh4EKcmzct7Fy2kRjYkIRiqpk2U3p3pASjxPgvC/kiQnNeELR0j3KovLsSTN7rq8pSNeeDIxECZ3oTxfdThxWmXjuPJeVSEJF13VkSaZ6Ti7vfNyDP5jAYTWi6TpKUmPgkxk/kXiSSDxM1+Cne8QAtPcGcTlM5GRZePHt0/yhZYi4kuL6mgKK8xwklCTLqzyUe5yM5ixkoHuEopyF6dhNjcXSinx04MWesrEi4MEeTPFhCoaGqFl+67Q9KerpD4m//4uxZGR86q8SRT3zIVqgHz0WpNJ/lpRVZrHSSXFtNVpvB31WHUVLkGXOYmEkQXYsxu22YqyLtyHb8lDaj3JnKMn+LCPe8Cj/ffRDti7elI5jvi0Pp8nBSX8z/aNdxMJ+SIRZUro6nZzcULwKgBO+FoZCAZp9HYRjKpsX3nLB96YkSZQ6x3rNFlE19jumkgzHR6hxV6d7XXRdJ6JGkSUJu8lOZ7ALX2yYiBolqISQkOgMdjEcDyABo0qIHIuLoBIiokbRIF0M3OQ7lb7+cHwEgFPDrZPadbDvMA6jnZAaxiQbSWopyh3lqMUGjmky7xwcJsfiosxZSiKVINviojJnPvm2PMJKBIMsU2QvZDQxisVowWXOSs8eGk2EGI4PM9dVfsVnFImeEOGquBb+Gv+yupZj/1lFrp/18wsZrxlxOcyUeByc7Q1OrguZkuBMfPx4j8pQIEbHYJj5hc5JU40n7lj8VkMvkgS3Xlc6aUhnfEZQ9ZzcdNGty25KXx8473owltT81+/P4A8lKHHbOdMbJJpI4sm2Ursgj7cbeogmpgyPTKO8wElp/tjzPTlW3C4bipoiHFdIJnVMRhlVTZHttFDicaTXfNm4qozkyTcpVzuwL7hu2h4UAF3TSJ49hNryHno8hDbcfX4jZCO6wUTEmIPNaiQ6fxlthSUsyV+EW02lZ/cMmwx81N8AiQjXKQaMJYvY39VBTyd4ilW2rVyX7skY8rbxUfvbBGIhTMEgq4tW0ltSyHu9BwGJm0vXAXDS34wWzsbr11hdUsuNS4rTvSLAtLen9rrMpBdlJpSUykBkEJcli7ASIaWPFdvOzSonnkrQFxihY2CEIUMbBlnHZrRxLtRNRB0rFjZIBlLTLJF/qWRJxmXOwmww4Y360dGxGqzYjFaKHAWYZRMFdg8Prr3/kpfZn0gkIcJVcS1/EX7R/THHfrpZI59nKvHUupCpz7vQOcdjP90uwlOPjV8nFFM5fGooPaV4vOh246qy9PooMFa3Mj7bZ/y648mQxWRAl3TCsSRaSsdqMbJoTg4OqxFdkmhq96EmdRxWI0lNIxBKEIyqRGNJNF2f0fopFpOM2WQg12nBbjWyoCQbgIivD0/kDDU3ruds0MzRNh/LKtz8ySLbBVeA9fb2cK61lULDKKqvh/zRk0jJxJQrSqRKlnLYehNxczZrl82hIMfGO90f8F7vQZIpnVJpMVsXbyLP7eC5918lIneyTLZTW7BkbLpvMESLHuGo0Yg1YsXsKifXOQ85awTJoGA32dNDNcXmeXSc7iAlNaO78zmX8FObVwPA0aFGzAbL2MQgXWGlZ1m6aHa2F0Wb7j2u6zpdoR4cJjt5Vnd66Kdj9ByarpHUU5Q5S+gK9eCPjZBtcdEd6mUwOkRvuB+b0YpRNjIY9ZJlcqLpGiH10141WZLHhoam1PvYjDZ+fs8PL2umkEhChKvij/mLMNP+mGN/sQXTrsS4+GclNBNj/1nXnVhrAkyaUjwxyZjYewKTe0Tg/BVpN64qo88bTtfTWM2GdGIzPhw18Zzrl5fw2/c7ONrmA3Si8STJlD6jHpSJJAnsFiPRRBJZkrgjp53l1j6i+TUMFqwlnkgyt9jF4VODBMJxYgmNYnOEMrWDnLkLWT3PTujMx0QHu3ESRg57J50/JVswZecRKK3miDKIXzGjjMzjKy6Vm7fcxZlQnIONL4+tbWIwck4Nsiihs9hRSmNRJR3BOAOJbpS4kU2ulZjMbTTLcZYULk8Pobx1+OccHW3HYnUxP39huqfl1YFDdId6AYnyrBK2Vt7FCV/LpMLXqcvlT6xJudBibBPNtIj0ahabarqWHm5RUypBJUQsGafAno8UHsbbeRi5uJpBSUVNqVTmLqCqrOyyrilqQgRBuGaM15JMdCWms477rOnIM73uUCBGKKqyoNR13qJsE6cXj09XRvr0PK1dAYJRlYNN/ZOWxx+vnRmfojxeTzNxXZXxL6+J5zQZDbizLORnWyclRJWl2cwrcqFpYz0lh04Nkkxp9HrD5LqspFI6TrsJCfjo1AB9viiR+FjiktJ1Pgp4GDUpNA+Y8Wunp41RqaWFsqwBlKCNE+om2o1ZBHMVTFE/tdJR5mjdSLFRjFoCg5ZAG+nDNdLHrZ88P8VxUiEzjf99ilNmI6NqCp/TSIV7PrXhUWpMuRSWraBwuJfAwoW83BXGK3nRw+9SpWpEPB7C4SFOfvwSXlc2ZaXLaFdGiJhNSMM+Ut1DWBQTW5fcNanI9aP+BmJqlLmWPBYO+0kamuk/+TrNCS+Luhso8CzkRI6do77jgITD5GB9dtVF9wZqO9VGoOMQ+yI53L1m0wWTlnw5xM2WVoyyBZh5EjKTvYkm1nuYDKZJmwf2dR7mRP8xlgDLl9894+t+FtETIlwVf8x/jWeaiP3Vcyk9IRdzOb0zF5o5dLF2XqzdU4eJptazXGhZ/anX7BoK8fqhLtzZVlo6R9DRx9bICCYwGmX8o/Hzhn3y5BA1pl6a1VL82uRZFjdZWqg19dCZzCchWzmXLKDIGOSr5qNIEkQ1M2WGsYTwoMtGi8NMeUzFruvU4KAgbwGGoiq0kJ/UQBvG8mWMzl3Mscb/YmEoSoGziI9KimjqO4pZiRM0uaidt57rc0to6ngfIsWo3YM4K1dy043L0+0aHw4CieU4sQaGKDbYeS/pZ4QUbk3jrpgRpfx6DqgpCt12bp2/FqXtAxq7/0Bx3E7p2m/gKZuT3lhQByJxlXeHjnHGJrG4bB3Xl2+a/Bp62zje9iYLgyHy1BSmBdcTrFjJCV8LxeZ59PRoF+0d8f9hP9H2j7FXXEfemjsv5S039nufeZ2m/mPMz6nFpiyfNC39coieEEEQhBmarqfl87ic3pkLzRya6FJ6bJrafZztG0tmps7YmXquC7V7KBDjdHeA+psXjH0Jrj8/ucl3WYkpST5o6udIyxDVc3I52xfkox4XsixhkiHbYaY4b2yfn7ZIGQ4pjgQ0xceSlA7FzYfReenrOqQ4d9iOUSr1Edc0FsWSlKQUIEZy1Efy7OH0Y+PeTkxNb3KDnoJkgv6IiaxAhEo5SkFU4aQ1Gy3gJkfpYu3AIAOmEd6dV85XPvldx3sSFhfOYcg6j/BgD6NOC6cMMkaTgeGEiYRsBrPE6ZwCrKkK1F6dPFve2CZ+DgvHjClaTCOsO/Y62YH5aPEQyfbD6FoSa3YRlUkbyVCE3J4RmpTJM5Ti8Xc5E+wk9ckQU7s1xVDHRzT7OsjV/SQH5kz7eo8XzcYTWSRjxQyfc3JHVWxGQzkTe0+WlK4Gi5PgQDaNZ2f23pqJjCQhP/7xj9m/fz8AGzZs4JFHHuHgwYP84Ac/IJFIcOedd7J7924Ampubefzxx4lEIqxevZq/+7u/w2gUuZMgCF9eVyKZudg5LpZITF0Kf3xYaPyxU887dRrxTFbFHT82MbkZ71EpL8zCIEuEYioGWeLOG+YgSRJn+0dRVJ1lFXnsvn8Fbx7pQj3pZ7G5l5xUgA/VYhbNzcUfjBMc7GNTbjcmg0xTdCmSVsKIqYKfjMg4or2sMZ8lppvJkaMsMfeQJceR0ZAnFFsWRM9SEAWPUabFbuGWUAemxp9xSsonX/PS6DLRrw3yu8Mf0xkqIt/owBHuxmsqYbE2jFENc9LmIGb34NQGcStGIkoVUoGZonk34LG7Cceayer5gD+wFKe7Gpe7k5HRQfzmBNGzH9Op5oOpirlGH+ZkAimvnJHgMJ78KtTAEDfbThOOFpA63YzFEqOyuIglecWcdrs5EWjH4VcwxXLId8+h8JM9lQC8PV20Nb3LSFkuksNMm78TQ7KIpGMlSkLnzeOt+LQu8g1zWLXQQ7/SyZL8RWgJ+6Tel4GOjzjR20BedwONjvl8payGpYlmqmxR8gs3fo537flm/dv84MGDvP/++/zmN79BkiQefPBB9u3bx549e/jP//xPiouL+da3vsW7777Lhg0b+Ju/+Ru+//3vs2LFCh577DFeeuklduzYMdvNFgRB+NK4WCIx0dREYSbnms505x+/XeJx8lZDd3r4CDivJ2fqkBHAskoPbcp1OE1FrCyuJdqRBAnuu6WSnJ5BlJPtkILFK+dQuvFhvN4Qff4Iv3rdxgehMiQkYokU7xlN5LsszFdbKYx30Bc2EJUc1Bh7yJcCtLp0Wh1jK5veFAzi0sfaeF1UZtDmJGKQQW6laiSGJIFb6UfVDdhkBeNoiAg2vFkqFUoK26jMH7wV/LLpDyyxDpBnTYLaT9PZYd5PLKK0tIrcPAe20RD/F9Rps/cyKGfhkLK53e7kkALnzNDf38Xi0WGizl4qwudwawMoYZ3j7Usx3FtPcaAdb/eHVEaTzHXlMuzoZJF8jnx5HWCjs+EgXbET9OgyC11FZGvF9PstWDyncZhl+tQUXeFO2lNn6TtVzIjex9unP8YlF2DsdaC3DrN8/S20OSy0mHWkxAj+UBxjywC3e7spMRuwDrhQAm2o192EKdszw3fm+WY9CfF4PDz66KOYzWO7FVZUVNDZ2cncuXMpLx97o2/ZsoUDBw5QWVlJPB5nxYoVAGzbto1nn31WJCGCIAiX4EKJxJUq2p3u/BP3+hmfBbR8wl/rU58z3f2CG5cDY/UYWYNj58mymdhYtQw9HkKHSfvSNHcOo2k6cwqy0rOEPk1yqmlq95EYjdHVG6TQ4CRHO4cv7CKVilKmDhKSjPRo+URMuZSbRlk+mmTIHKA6mkAHkrqMTVaxMTZtutAYYn0iQqvBQnUsQZ41SLXzLC12C9WRBFlJiS6LHXK6uW4kidlnoTTSg88VJmKXCLhkVDnEYNLOz3vnIo26MWVH6R61E8jxY5MkDkWN5Dtz0TSdoSEn+37xNlV5TayLR4moNv5XUtB6jnBWU1je1kMsbKVHzaZSNuOQw9SM9nIWI73OFgZSOraUiQUxIyoxok4JJIlwUCJp9hOWh1llTjI3kCD2XhfO0mLicg7LHNnYJCeOVBGndBNFDjsuLc7Jnia+km1m3nV1n/u9M+tJSFVVVfp2Z2cn+/fv58/+7M/weD7NpAoKChgcHGRoaGjScY/Hw+Dg4CVf83ILZ4TPR8Q9c0TsM+fLFHuPJ4vaqulnSlwpt6yZi9NpZXVNIUV5jitynsI8B1RUTPq5x5N13rUG/BGONA+S53bQMRimpXuUhXNymV+ay3Wl80h1NZI8ZSY5HMNQ0k9ucTZnlApODUocVZIsrfTgAFpHeskLnyFkKcLqPYWW0igscjMn1Y1BdZAzmiJsTlFQbqEt2k2TIUGHzcSd/jBee5KQI8oiQzM3BmMcdNk45zRj1qAmNr5vUBhD1ghrGStqPlLoIk+BngT0uOL4zGDQYYHcSMSSJGKUaAhZkVMGFkf7OGE2EzDrdOjnMDo04pKZppSZcp+bjxU7vXnDaHoYY8iCOWpkSbSXZWicdMQpTEnMjaj05Gg4JIUF4SR+UvThIzIwTNCWxfuRbCoGhgkUF3PCshijyYclEEI3Gym2mpn3uV/VDBamnj59mm9961s88sgjGAwGOjs70z/T9bGqak3TJq3ENn78UomZArNPzNDIHBH7zBGxP58BuKHaA5p2WbG52HnG4z71Me980gsTDsdZWpE/9u8Cd3roybR4E3eWjA0D5VfcjC3HhtrQTSg8thbL8gVumtp9pHpPUWjuZbF9BCU7SrdpPuriP+G9T5b1D3vDzK/Ix55jI364iaGht/BbYpxc4KQwoFEYO8uowUSnM5dsUwGa7idi0VnsdLGuf4D3jXFa7dCasgDQ4dTxpnQKFRWjQadEhfKEAgZoN5kpSukUmoJ0Z5kpiCj8v2CCj51WuuwmfCYDCTmOTJwScwJ3UmOBouOLGshOZkFIw4kRAxp3Br3IDJFCRgroqLqBUd3OXmchYXsQq56iNBbBQCvV9iQd/gB+DygJSAXdGLQSau9c+blfU8hQEtLQ0MCuXbt47LHHqKur4/Dhw3i9ny5M4/V6KSgooKioaNJxn89HQcHVzdoFQRCEa8NMimo/qxB3aUU+bYmV2E2FmEvnYRzupXbOMn5/Ojxtse/ahZUgScjZPm4oX4qWsHP8+GuM6mcpKF3J4vz1DJ1uR872sbJ8KU5bHvP7u+lsfYvRMivF7a1YUyMEjSY85hyqYwqLs8opy3Hgi4+Q4ymkOhIn2deCU4OFqkKeLuPQdFQZPGoK1SAzagCf2YDPYkRG4aZgBGjHb5FptVuojiaIQPp2XlLDSgrFmGShVaFbMqIaZJA0YrJECIV8uii3mTFoMmW2PmoSNgqcuVyOWU9C+vv7eeihh3jmmWdYt25s3f7ly5fT0dHBuXPnKCsrY9++fdx7772UlpZisVhoaGhg1apV7N27l/Xr1892kwVBEIQvoc8zC+mzalMoGVvKfWlF7JN/8897/t1rlnx6wAZ3r9nECV/pJ0u8T/k5UF1cTn+yipP+ZuzVq1hzrh+/M8GqudfjDgfTC4yVARPXJ53Lp9No55mzGeo+zlqzGWu4j9bcPMorN9Dbf5yFw8NY116H2vJ/tMX7aLWbkNx2goqBVilCyOlgS1E1vqiP15N9hBJhKlQZW0rCkTDRb7FSSAo9HmaJnCAmxem2mrGj4A3EKXB//mG2WU9CnnvuORKJBE899VT62Pbt23nqqad4+OGHSSQSbNiwgTvuuAOAPXv28MQTTxAOh6mtreWBBx6Y7SYLgiAIwiSXkuDk2/LSS8NfyPgGeUvyF5G/dOZ70ciuAsxL/oSehm68PhOD5RLXlxdT+kniUp33aR2mwV3Oko6PMDssLCldjT8YZ7j9KEsrVmIpLOV09wdEh5LkmCu4ufKuSau2js9eWjU/Fy3QyLstH9Gp1dDU7mfTZSQhYsVU4aoQY+OZI2KfOSL2mSHifmX2lLmU3YDHr7fphnl4cu2f63ogkhDhKhEfCpkjYp85IvaZIeKeOZc7G0z+7IcIgiAIgiBceSIJEQRBEAQhI0QSIgiCIAhCRogkRBAEQRCEjBBJiCAIgiAIGSGSEEEQBEEQMiJje8fMJlm+9P1mhMsn4p45IvaZI2KfGSLuX05/FOuECIIgCILwxSOGYwRBEARByAiRhAiCIAiCkBEiCREEQRAEISNEEiIIgiAIQkaIJEQQBEEQhIwQSYggCIIgCBkhkhBBEARBEDJCJCGCIAiCIGSESEIEQRAEQciIazYJee2117jrrru47bbb+PWvf53p5lyTwuEwmzdvpqenB4CDBw+yZcsWbrvtNp555pn045qbm9m2bRu33347jz/+OMlkMlNNvib8+Mc/pq6ujrq6Op5++mlAxH62/OhHP+Kuu+6irq6O559/HhCxn03/+I//yKOPPgqIuM+Wb37zm9TV1VFfX099fT2NjY1XNvb6NWhgYEDfuHGjPjIyokciEX3Lli366dOnM92sa8qxY8f0zZs367W1tXp3d7cei8X0DRs26F1dXbqqqvrOnTv1d955R9d1Xa+rq9OPHj2q67quf+c739F//etfZ7DlX24ffPCB/vWvf11PJBK6oij6Aw88oL/22msi9rPg0KFD+vbt23VVVfVYLKZv3LhRb25uFrGfJQcPHtRvuOEG/W//9m/F580s0TRNv+mmm3RVVdPHrnTsr8mekIMHD7J27VpycnKw2+3cfvvtHDhwINPNuqa89NJLfO9736OgoACA48ePM3fuXMrLyzEajWzZsoUDBw7Q29tLPB5nxYoVAGzbtk28FpfB4/Hw6KOPYjabMZlMVFRU0NnZKWI/C66//np++ctfYjQa8fv9pFIpgsGgiP0sCAQCPPPMM/zlX/4lID5vZsvZs2cB2LlzJ3fffTe/+tWvrnjsr8kkZGhoCI/Hk75fUFDA4OBgBlt07XnyySdZvXp1+v6FYj71uMfjEa/FZaiqqkr/J+/s7GT//v1IkiRiP0tMJhPPPvssdXV1rFu3TrzvZ8l3v/tddu/ejcvlAsTnzWwJBoOsW7eOf/mXf+E//uM/eOGFF+jr67uisb8mkxBN05CkT7d11nV90n3hyrtQzMVrcXWcPn2anTt38sgjj1BeXi5iP4t27drFhx9+SH9/P52dnSL2V9nLL79McXEx69atSx8TnzezY+XKlTz99NNkZWXhdru57777ePbZZ69o7I1XpeUZVlRUxJEjR9L3vV5vethAuDqKiorwer3p++Mxn3rc5/OJ1+IyNTQ0sGvXLh577DHq6uo4fPiwiP0saG9vR1EUampqsNls3HbbbRw4cACDwZB+jIj9lfe73/0Or9dLfX09o6OjRKNRent7RdxnwZEjR1BVNZ0A6rpOaWnpFf28uSZ7Qm688UY+/PBDhoeHicVivPHGG6xfvz7TzbqmLV++nI6ODs6dO0cqlWLfvn2sX7+e0tJSLBYLDQ0NAOzdu1e8Fpehv7+fhx56iD179lBXVweI2M+Wnp4ennjiCRRFQVEU3nrrLbZv3y5if5U9//zz7Nu3j71797Jr1y5uvfVWfvazn4m4z4JQKMTTTz9NIpEgHA7zm9/8hr/+67++orG/JntCCgsL2b17Nw888ACqqnLfffexbNmyTDfrmmaxWHjqqad4+OGHSSQSbNiwgTvuuAOAPXv28MQTTxAOh6mtreWBBx7IcGu/vJ577jkSiQRPPfVU+tj27dtF7GfBhg0bOH78OFu3bsVgMHDbbbdRV1eH2+0WsZ9l4vNmdmzcuJHGxka2bt2Kpmns2LGDlStXXtHYS7qu61f7FxEEQRAEQZjqmhyOEQRBEAThi08kIYIgCIIgZIRIQgRBEARByAiRhAiCIAiCkBEiCREEQRAEISNEEiIIwoxVV1ezZcuW9I6a9fX1PP7445/7fMePH+e73/3uFWzh9DZv3kwkEqG/v59vfOMbV/16giDMzDW5ToggCFfPL37xC9xu9xU515kzZ6763h5erxeHw4HD4eCNN95gzZo1V/V6giDMnEhCBEG4Itrb23nyyScJBAKkUim++c1vct9996FpGv/wD/9AY2MjkUgEXdf5/ve/T0lJCc8++yyhUIjvfOc7bN26lb//+79n3759ABw6dCh9/5//+Z85duwYQ0NDVFdXs2fPHv7t3/6NN954A03TKC0t5Xvf+x6FhYWT2lRfX8/IyAiaplFfX09PTw8ej4fa2lq++tWvZiJMgiBMIJIQQRAuyZ//+Z8jy5+O5P785z8nOzubXbt28fTTT1NbW0soFOLrX/86lZWV6LrO0NAQL774IrIs85Of/ISf/vSn/Pu//zu7du3i9ddf5wc/+AGHDh266HV7e3vZt28fRqOR3/72t7S1tfHyyy9jNBp58cUXeeKJJ/jpT3866Tl79+7lhz/8ITU1NWzevJl77rmH559/npycnKsRGkEQLpFIQgRBuCTTDcecOXOGrq4uHnvssfSxeDzOqVOn2LFjB9nZ2bzwwgt0d3dz6NAhHA7HJV93xYoVGI1jH1m///3vaWpq4t577wXGdlWNxWLTPq+lpYVt27ahqirRaFQkIILwBSKSEEEQLlsqlSIrK4u9e/emj/l8PrKysnjnnXd48skn+Yu/+As2bdrEggULePXVV887hyRJTNxFQlXVST+32+3p25qm8eCDD7Jjxw4AFEVhdHT0vHPW19dz9uxZdu/eTSKRwO/3U19fz7e//W0xHCMIXwBidowgCJdt/vz5WK3WdBLS39/P5s2bOXHiBB988AEbN25kx44dLFmyhDfffJNUKgWAwWAgmUwC4Ha76evrw+/3o+s6//M//3PB691000288sorhMNhAH70ox/xyCOPnPe4f/qnf2LNmjW8+uqr/Omf/ikPPfQQe/fuFQmIIHxBiCREEITLZjab+dd//VdeeeUVtmzZws6dO/mrv/orVq1axfbt2zl8+DBbtmzhnnvuoby8nJ6eHjRNY8WKFXR3d/Ptb3+byspKtm/fzr333sv9999PWVnZBa/3ta99jVtuuYX777+furo6WltbJ+0sPK6hoSE9G2bibUEQvhjELrqCIAiCIGSE6AkRBEEQBCEjRBIiCIIgCEJGiCREEARBEISMEEmIIAiCIAgZIZIQQRAEQRAyQiQhgiAIgiBkhEhCBEEQBEHICJGECIIgCIKQEf8f+OkV85nHvdQAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo('NMF', d=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Idependent Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final linear decomposition we will consider is ICA, where the goal is to find latent variables $Y$ that are *statistically independent*, which is a stronger statement that the *statistically uncorrelated* guarantee of PCA. We will formalize the definition of independence soon but the basic idea is that the joint probability of a sample occuring with latent variables $y_1, y_2, y_3, \\ldots$ can be factorized into independent probabilities for each component:\n", "$$\n", "P(y_1, y_2, y_3, \\ldots) = P(y_1) P(y_2) P(y_3) \\ldots\n", "$$\n", "\n", "ICA has some inherent ambiguities: both the ordering and scaling of latent variables is arbitrary, unlike with PCA. However, in practice, samples reconstructed with ICA often look similar to PCA and FA reconstructions.\n", "\n", "ICA is also used for [blind signal separation](https://en.wikipedia.org/wiki/Blind_signal_separation), where usually $d = N$." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo('FastICA', d=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparison of Linear Methods" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compare the four methods above, plot their normalized \"unit vectors\" (rows of the $M$ matrix). Note that only the NMF curves are always positive, as expected. However, while all methods give excellent reconstructions of the original data, they also all mix the two peaks together. In other words, none of the methods has discovered the natural latent variables of the underlying physical process: the individual peak normalizations." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def compare_linear(data=spectra_data):\n", " X = data.values\n", " N, D = X.shape\n", " fig = plt.figure(figsize=(8.5, 4))\n", " for j, method in enumerate(('PCA', 'FactorAnalysis', 'NMF', 'FastICA')):\n", " if method == 'NMF':\n", " d = 3\n", " mu = np.zeros(D)\n", " else:\n", " d = 2\n", " mu = np.mean(X, axis=0)\n", " kwargs = dict(n_components=d)\n", " if method == 'NMF':\n", " kwargs['max_iter'] = 500\n", " fit = eval('decomposition.' + method)(**kwargs).fit(X - mu)\n", " M = fit.mixing_.T if method == 'FastICA' else fit.components_\n", " for i in range(d):\n", " unitvec = M[i] / M[i].sum()\n", " plt.plot(unitvec, label=method, c=sns.color_palette()[j], ls=('-', '--', ':')[i])\n", " plt.legend()\n", " plt.xlim(-0.5, D + 0.5)\n", " \n", "compare_linear()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Weighted PCA" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The linear algorithms presented above work fine with noisy data, but have no way to take advantage of data that includes its own estimate of the noise level. In the most general case, each element of the data matrix $X$ has a corresponding RMS error estimate $\\delta X$, with values $\\rightarrow\\infty$ used to indicate missing data. In practice, it is convenient to replace $\\delta X$ with a matrix of weights $W$ where zero values indicate missing data. For data with Gaussian errors, $X_{ij} \\pm \\delta X_{ij}$, the appropriate weight is usually the *inverse variance* $I \\equiv \\delta X_{ij}^{-2}$.\n", "\n", "[Delchambre 2015](https://arxiv.org/abs/1412.4533) reviews several approaches for calculating principal components of weighted data, and proposes a new scheme where, instead of subtracting the usual mean, we subtract a weighted mean,\n", "$$\n", "\\mu_j = \\frac{\\sum_{i=1}^N W_{ij} X_{ij}}{\\sum_{i=1}^N W_{ij}} \\; ,\n", "$$\n", "with $W = \\sqrt{I}$, and, instead of decomposing $C = X^T X$, we decompose\n", "$$\n", "C = \\frac{(W X)^T (W X)}{W^T W} \\; .\n", "$$\n", "\n", "The class below implements this scheme following the same API as the sklearn PCA class:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Use scipy.linalg.eigh instead of np.linalg.eigh since it allows us to only\n", "# find the eigenvectors with the largest eigenvalues.\n", "import scipy.linalg\n", "\n", "class WeightedPCA(object):\n", " \"\"\"Implements the weighted PCA scheme of Delchambre 2015.\n", " \n", " See https://arxiv.org/abs/1412.4533 and the more complete implementation\n", " in https://github.com/jakevdp/wpca.\n", " \"\"\"\n", " def __init__(self, n_components):\n", " self.n_components = n_components\n", " \n", " def prepare(self, X, ivar=None):\n", " if ivar is None:\n", " W = np.ones_like(X)\n", " else:\n", " assert np.all(ivar >= 0)\n", " W = np.sqrt(ivar)\n", " # Calculate the weighted mean of the data using eqn (2).\n", " self.mu = np.sum(W * X, axis=0) / np.sum(W, axis=0)\n", " # Subtract the weighted mean from the data.\n", " X = X - self.mu\n", " # Apply weights to the (mean subtracted) data.\n", " X *= W\n", " return X, W\n", "\n", " def fit(self, X, ivar=None):\n", " X, W = self.prepare(X, ivar)\n", " # Calculate the weighted covariance.\n", " C = np.dot(X.T, X)\n", " C /= np.dot(W.T, W)\n", " # Find the eigenvectors and eigenvalues of C.\n", " _, D = X.shape\n", " evals, evecs = scipy.linalg.eigh(C, eigvals=(D - self.n_components, D - 1))\n", " # Save the results.\n", " self.components_ = evecs[:, ::-1].T\n", " return self\n", " \n", " def transform(self, X, ivar=None):\n", " X, W = self.prepare(X, ivar)\n", " N, _ = X.shape\n", " Y = np.zeros((N, self.n_components))\n", " for i in range(N):\n", " cW = self.components_ * W[i]\n", " cWX = np.dot(cW, X[i])\n", " cWc = np.dot(cW, cW.T)\n", " Y[i] = np.linalg.solve(cWc, cWX)\n", " return Y\n", " \n", " def inverse_transform(self, X):\n", " return self.mu + np.dot(X, self.components_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To study these schemes, we will assign weights to `spectra_data` by assuming that each value $X_{ij}$ is the result of a Poisson process so has inverse variance $I = X_{ij}^{-1}$.\n", "\n", "The function below allows us to optionally add extra noise that varies across the spectra and remove random chunks of data (by setting their weights to zero). As usual, ignore the details of this function unless you are interested." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "def weighted_pca(d=2, add_noise=None, missing=None, data=spectra_data, seed=123):\n", " gen = np.random.RandomState(seed=seed)\n", " X = data.values.copy()\n", " N, D = X.shape\n", " # Calculate inverse variances assuming Poisson fluctuations in X.\n", " ivar = X ** -1\n", " # Add some Gaussian noise with a linearly varying RMS, if requested.\n", " if add_noise:\n", " start, stop = add_noise\n", " assert start >= 0 and stop >= 0\n", " extra_rms = np.linspace(start, stop, D)\n", " ivar = (X + extra_rms ** 2) ** -1\n", " X += gen.normal(scale=extra_rms, size=X.shape)\n", " # Remove some fraction of data from each sample, if requested.\n", " if missing:\n", " assert 0 < missing < 0.5\n", " start = gen.uniform(high=(1 - missing) * D, size=N).astype(int)\n", " stop = (start + missing * D).astype(int)\n", " for i in range(N):\n", " X[i, start[i]:stop[i]] = ivar[i, start[i]:stop[i]] = 0.\n", " # Perform the fit.\n", " fit = WeightedPCA(n_components=d).fit(X, ivar)\n", " Y = fit.transform(X, ivar)\n", " Xr = fit.inverse_transform(Y)\n", " # Show the reconstruction of some samples.\n", " fig = plt.figure(figsize=(8.5, 4))\n", " for i,c in zip((0, 6, 7), sns.color_palette()):\n", " plt.plot(X[i], '.', c=c, ms=3, alpha=0.5)\n", " plt.plot(Xr[i], '-', c=c, lw=2)\n", " plt.xlim(-0.5, D+0.5)\n", " plt.xlabel('Feature #')\n", " plt.ylabel('Feature Value')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First check that we recover similar results to the standard PCA with no added noise or missing data. The results are not identical (but presumably better now) because we are accounting for the fact that the relative errors are larger for lower fluxes." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weighted_pca(d=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, vary the noise level over the spectrum. The larger errors makes the principal components harder to nail down, leading to noisier reconstructions:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weighted_pca(d=2, add_noise=(200, 100))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, remove 10% of the data from each sample (but, crucially, a different 10% from each sample). Note how this allows us to make a sensible guess at the missing data! (statisticians call this [imputation](https://en.wikipedia.org/wiki/Imputation_(statistics))." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weighted_pca(d=2, missing=0.1, seed=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-Linear Dimensionality Reduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The methods above find latent variables that are linear functions of the original features.\n", "\n", "There are also non-linear methods:\n", " - When they work, the results are [spectacular](https://scikit-learn.org/stable/modules/manifold.html) (see also [here](https://scikit-learn.org/stable/auto_examples/decomposition/plot_kernel_pca.html)).\n", " - However, they are generally [very sensitive to your choice of hyperparameters](https://github.com/scikit-learn/scikit-learn/issues/10530).\n", " - I recommend that you always start with a linear method and only prefer a non-linear model if it has clearly better performance and gives consistent and robust results.\n", "\n", "For a deeper dive into non-linear methods, see [this notebook](https://nbviewer.jupyter.org/github/dkirkby/MachineLearningStatistics/blob/master/notebooks/Nonlinear.ipynb). One key idea is the \"kernel trick\", which is also central to the power of neural networks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Model-Driven Compression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most dimensionality reduction methods assume that variance is a good proxy for \"information\". However, when you have a good generative model of your data, you can do much better. In particular, there is an optimal compression algorithm for data generated by a model with $n$ parameters that will reduce your whole dataset down to $n$ numbers! See this [2018 paper](https://doi.org/10.1093/mnras/sty819) for details." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 2 }