{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Analysis and Machine Learning Applications for Physicists" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Material for a* [*University of Illinois*](http://illinois.edu) *course offered by the* [*Physics Department*](https://physics.illinois.edu). *This content is maintained on* [*GitHub*](https://github.com/illinois-mla) *and is distributed under a* [*BSD3 license*](https://opensource.org/licenses/BSD-3-Clause).\n", "\n", "[Table of contents](Contents.ipynb)" ] }, { "cell_type": "code", "execution_count": 28, "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\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "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": 29, "metadata": {}, "outputs": [], "source": [ "from sklearn import decomposition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a module that includes matrix decomposition algorithms, including among others PCA, NMF or ICA. Most of the algorithms of this module can be regarded as dimensionality reduction techniques.\n", "\n", "We will also use the [wpca package](https://github.com/jakevdp/wpca):" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "import wpca" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load Data" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "from mls import locate_data" ] }, { "cell_type": "code", "execution_count": 32, "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; $r^D$ is the volume of a D-dimensional hypercube with edge length r, with r=2 in our case). 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": 33, "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": 33, "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": 34, "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', 'y', data, stat_func=None);" ] }, { "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": 8, "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', 'y', data, stat_func=None);\n", "plt.ylim(-1, +1);" ] }, { "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": [ "# 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', 'y', rotated, stat_func=None);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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', 'y', nonlinear, stat_func=None);" ] }, { "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": 11, "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": 12, "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 $D$ features. 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 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 reconstruct the original data using:\n", "```\n", "X' = Y M\n", "```\n", "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": 13, "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 is '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", " fit = eval('decomposition.' + method)(n_components=d).fit(X)\n", " \n", " # Check that decomposition has the expected shape.\n", " if method is '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=5)\n", " plt.plot(Xr[i], '-', c=c)\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", "$$ \\Large\n", "C = \\frac{1}{N-1}\\, X^T X\n", "$$\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 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\n", "\n", "$$ \\Large\n", "M^T = M^{-1}\n", "$$\n", "\n", "and satisfies\n", "\n", "$$ \\Large\n", "X^T X = M^T \\Lambda M\n", "$$,\n", "\n", "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", "$$ \\Large\n", "\\rho(j,k) = \\frac{Y_j\\cdot Y_k}{|Y_j|\\,|Y_k|} \\simeq 0 \\; .\n", "$$" ] }, { "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": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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NQw4tZFRSZM/YHnLImkFZKZUHuAlU/RjSWq89T1MIkTI2m5W+oSnqqp2887atdA9M0jM4SV21k9IiBzPzPpq2lDE3F9+f7so0xbFbtsSUM15Pbne9y2Xu2VYRceW4dEpEHjtiUFZKVQF/Q6DCxyiBVIczuPj8I1prz4bOLIRIiLm5BQ41V/PPwYkVoQkTZy8Oct/btjIyPruhgLxytbiXzvZwaE9NzDnjWALyepfLbL88ZNhTX7lyXKpEWuY0HtF6yv8I/B/g90K942Cv+b3Ad4E74jqjECLhBr3ThlOr+4anuPkmd9zHNUpTjE/NU7OpyDBVEk/OOJbhc+E90GSO7ohHotdgjhaUq7TWfx++IRicvxtWiXpdlFJ24HFgK+AA/hI4B3wLWATaCPTC/UqpzwD3Az7g41rrV5RSO4z2jactQmSLXu80l66PGj52tXuMD/6bXXEHqUjB79dtvTz68AFa2zY2HjhagH3z2giegQla226kNe4+1IDbmW+K1dxCEj0mO1pQvqyU+lMCveKe4LYa4GHg0rrPFPD7BPLSDymlKoDTwOvAp7XWx5VSjwEPKqU6CZR9OgzUA08Ch4Avr9wXeCrOtgiRFV44c50tVcaL2tcFh6jFK1Lwu6m+nAa3k4a7NjYeONrwuVtbavj8t417oLEsZJQKyei1RxsS93sEAqIHmASmgOeBLcAH1nWWG34I/HnY7z7gAHAi+PvPgHuA24FntNaLwdy1TSnljrCvEDmrb2Sa3uEZyoodhkPQSorysdniH/kay9C2jfZMjc5RUmSnb3gqag/00YcOcO/hRrbWlnLv4caUlmwKiXX50fWI2FPWWo8C/49Sai9QCfwd8B2tde+6z3LjmBMASqkSApWoPw18UWsdavk4UAaUAkNhTw1ttxjsG5XLVYTNlrfWbuvidpck9HipOnY6Zet1xSqW92E8r9EvT1+nwGFjaHSag7url4aIhWa6zcz5cLmK4202B5pr+dxHjnDiVBfnrgyzZ9smju2vY8+2iriPuZLbXbLqHPe8tYGv/OB1w/21x4vbXYLbXcKB5uRX5V7L3YcaDHvtdx+qj+vfdM0hcVrrO5VSDQTSFs8EUwt/B/xYaz2/3hMqpeoJpBy+prX+nlLqC2EPlwAjwFjw55Xb/QbbovJ6p9baZd0GBoxnTm2U212StGOnk5muK10fDmu9D+N5jaxWC2OTc+ysL2N0co5/efEqAK5SB22XAn2a//iefXG/9qE2uZ35vOfodqx3Ni31/Dby7xlp+NvKc+xqKKezxzhvbJb3E4Dbmc/nPnKEn/+6k46uEWorimnaUsr01FzEdkZ7H8b0vSaYQvg28D1gL/CfgDal1G+vp/FKqWrgGeDPtNaPBzefVkrdGfz5PgIpkheBe5VS1uAHglVrPRhhXyFy0tXecUYnZvn+Mx38+FeXObi7mpamCvJteRxuqeH379vF3girqsUjETfQ1poJGH6OTFvx7eVzvczNL/B6xwDfe6ZjzVXxIoll8siHCfSSawn0kG/XWncppTYTuFG3nhttnwJcwJ8rpUK55Y8Bf6OUygfOA09orReC46FbCXxwPBLc9xPAN8L3Xce5hcgqJy8EqoxAoEr1q+cDFUFcpQ7sNit9Q5NJGYmwkRt76xmpYDQr8O5D9bid+XG3PVlOnOpifGqe8akbyYN4R2DEMs36GPAZrfXx8I1a626l1B+v52Ra648RCMJG51i572eBz67Y1mG0rxC5xmq1MOCdwV1eSEtTxbKpxq1tPeRfG+GP3hVblZFYrTXrLpZF6tc7UmHlrEAzpcJC1lp8f70fYrHklB+O8tiTMZ9JCJEwfv8iLTsq+O6/6lVTjY+01LLg96+ryshaok2QAGKaIr2R1ePMvJ5FaPH9SPnvRA6JE0KYVNfgBBc6vYapgNk5H6qhPKGBLFLa4YUzPXzpH07HXGEk0/LEsTq2vy5h1yWrxAmRga72jdPVZxz4+kemee/2yoSdK1raoaNrhOJCe8y51GyoDGIktPh+Iq5LgrIQGcZqtTA4MoPbVUjf8BSuUseyIqkN1SVsSuDNsGhph9qKYl7vGFi1PVouNdMrg0SSqOuS9IUQGcbvX8Q7Psu2zWVLQ+BCRVILHTYO70lsKsDTP0FFWYHh1/OmLaVLHwYOe97SgvOx5FKzKSCHS9rSnUIIc7JaLRQX2PnJ85dX3eR791072LttU8Jv8M0v+DnSUrs0Y3BnfTm37wvMpit02NivqpYtON+8PXHjo3ONBGUhMozfv8jUrM/wxpunbzxpN/hePNO9tFazIz9vKV/6R7+zd9WC8x0eL48+dJCaCCWqRGSSvhAiw/R6p7navTq/C4GAmMgadStv8IXWam6/Mrx0nvAF561WC7ft28zOBheP/VMbP3juYlyz2kLHykXSUxYiwxx/vQu3q9Bwqc7NlcUJvYG21rjilSMzjrTU8ur5vmW95vUu+L7e0lDZRnrKQmQQq9XChasjS0VSwwVusJXj8yWu7sNa44rDl6502POYmTNOq7S298V0vrXWxsgF0lMWIoNYrRZq3cVYLKwqklpbUUxTvfHavvGKZVxxaMF5V6mDAe+04XFinW6c6CoemUiCshAZxOfzs7txE99/Rq8qkrqz3kWdqyjh51xr/G0ocJ+80M/A6IxhWiWWIXKxrI2RCyR9IUQGuTYwwZvXbkyvDt14G5+ax9NnfPMvUaIF1YYqJ+8+up133toQ93TjZFTxyETSUxYig7RdGeZahOnVl6+PpX2WXIN7Y9OozVJ7L50kKAuRIaxWC6c7BiOOvNjVaI7e5EamG2fr2hjrIUFZiAzh9y/StKWUmTk/DdUlywqLOux53Jrg6dUbFe8HRLaujRGrjAvKSikr8DXgZmAW+EOt9cX0tkqI1GjeXsGJ168DsH+Xm7JiB0Oj09xxy5as603mYkCGDAzKwLuAAq31EaXUrcCXgAfT3CYhks7TP7FqOrPDnsd/fM8+mhtdaW6dSJRMHH1xO/CvAFrrXwMH09scIVIj0hjetsvGpYgySa4Md4tFJvaUS4HRsN8XlFI2rbXPaGeXqwibLc/oobgls0x9Mo+dTtl6XbGK5X241mt0wRN5DG+yXt9k/7uduzLEiVNdtF8ZpnnbJo7tr2PPtoq0tileiWpXJgblMSD86q2RAjKA1zuV8AYkq3CjGYtCJoKZritdf9BrvQ9jeY12NZRHrAOXjNc32f9uq+r+9Yzxy5PXoq6TYab3Urj1tiva+zAT0xcvAu8ECOaUz6a3OUKkRrbVt4s2pTqXZWJP+Sng7UqplwAL8ME0t0eIlMimMbyxTKmW0RcZQmvtBz6a7nYIkQ7ZMoY3Wt2/XJpSbSQT0xdC5LxsCFrZlo5JlIzrKQshskM2pWMSSYJyjvjQXz0b876Pf/LuJLZEiBuyJR2TSBKUxSrrCeAgQVxsnATkGySnLIQQJiJBWQghTESCshBCmIgEZSGEMBEJykIIYSISlIUQwkQkKAshhIlIUBZCCBORoCyEECYiQVkIIUxEgrIQQpiIBGUhhDARWZAog6134SAhhPmlNCgrpcqAvydQkTof+BOtdWuw1t5XAB/wjNb6L5RSVuBrwM3ALPCHWuuLRvum8hqEECKZUp2++BPgl1rrY8AHgK8Gtz8GvB+4HTislNoPvAso0FofAT4JfCnKvkIIkRVSHZT/Gvh68GcbMKOUKgUcWutLWutF4GngNwgE3X8F0Fr/GjgYZV8hhMgKSUtfKKU+DPznFZs/qLU+qZSqIZDG+DiBVEZ49cRxYHtw+2jY9oUo+0bkchVhs+VF22Xd3O6ShB4vVcdOlljanInXlUixvA/N+BpJm2KXqHYlLShrrb8JfHPldqXUXuAfgP+itT4R7P2GX00JMAIUrdhuJRCQjfaNyOudiqv90QwMjCf8mBD4R03WsZNprTab6brS9Qe91vvQTK9RiLQpduttV7T3YUrTF0qpPcAPgfdrrX8GoLUeA+aUUk1KKQtwL/A88CLwzuDzbgXORtlXCCGyQqqHxH0eKAC+opQCGNVaPwh8FPgukEdgRMXLSqmTwNuVUi8BFuCDwWOs2jfF1yCEEEmT0qAcDMBG238N3Lpim59AAF5z32zxwCd+nO4mCCHSTGb0CSGEiUhQFkIIE5GgLISJFBXlU1Agqx/kMvnXFxu2njU4Hv/k3UlsSeb62UtXuNw9wrxvkQXfIlWbCqkqL2T/TZXrOo7VasHvX1z6f/g2o32tVgs+n9/wsfD/hx9r5e9Gx96oZB03E0hQFiLNTnUMMjg6zejEHNf7J9lSVQzAuc5hFoEDMQRmT/8Ere29nO/0Ul9VQmlxPq6SfHqHp7nUNcquxnKONNfQUOXE0z/BhWsjXO4eo3dwkh11Zdy6t5YdNSV4+id4VfdR6iygKD+P7uEpLl8fZVeji+ICOy++0UNdtZNbdrrpHpzgzJtDNG0p5ba9NeyoK8fn82O1WpibW1hqm8124wt56PHQBwcsD8BX+8ZpbevlQucILds3cdu+WjZvKlq2fzijD6GVj0X63awkKAuRRtcGJpiY8/HjX11mdj4QyDx945yyD/C+exUXPN41g7Knf4LPf+e1G8/vHefoLZt59tVrS9s6e8c4fuo6j7xnH6+e7+Pl9j7mF/wcaalldHKOv//ZBZrqy3CXFzI2NY9vAa5MznJ9YJIt7mJmZhe43j/BnQfqWMRP69keBrzT1FQUUlvp5OevdvF/fnKemspittaW4Cy0UWy3Mz7n4/L1Ua52j1FTWUxDtZOC/Dzm5v34/It09U/QOzhJY20JTXXl/ODnHczOL3CkpZbe4Skee6qNrbUlbN9SzsXrI3h6xtlRX84tN1Vy7soQ564GPoRKivIBP7fuqQGgtb2PC51edjWWs29HJeevDnH2knfZh9PKXn+ibDT4S1AWIo08/eN0dI4sBc+Q2fkFOjq9FDpsFBTYmJnxRTxGa3vvsuc77HlMzvgMj3nyXB/zPj+z8wvctm8zr57vW9qvvrqEH5+4zMHd1Tz3WteyIO+w53FwdzXff0ZzZG8tr13oB+CtzTV8/xm97APljY4BDjdXs31LucFjeTx4dDu9Q5O83N637LFX2vt44I7AYyfPLX/s5fY+Du6uxtM3jqdvnBff6A783ju+1L5De6o51+ld9gEX+jB6521bqaty8svXupiZ81Fb6bzxTaG+nKP7ammocsb3jxgU+rZyoXNkWfBfLwnKQqSJ1WphEejqnzB8vKt/gn/7Gzdhsaz+2h5+jAudy1cacJU6GPBOG+7f2TtOZXkhDnseM3M3ArfDnsfsXCDwh28PmZ1fYCb4+NTsPA57Hvl2K90DE4b7Ts74uNw9ipHeoamIHxpXu0fZuqU04vkd9jxm5xcMf6+pLOLy9VHD53p6x+nweHnX0Sb6hyd56vilZUH/xTe6efShA3EH5nNXhpZ9Wwl9GMRzTBl9IUSa+P2LjE/NUldt/EdbX+1kcmqW6en5qMfY1Vi+bJt3bBa3q9Bw/8aaEvJt1lWB21XqoN87HTWgDwQf7x2cwlXqYGttacQPlAHvNBNT87hKHcu2u0odTEzPRzxHv3eaiclA0I90fqPfHfY8Jibn6Y/S9uJCO/3DU0xF+EBobe8zfG4sTpzqStgxJSgLkUbNjZU0b6tYFYQc9jz27qggz7r2CodHmmuWPX92foHiApvhMQ/tqSbfbmVyen5Z4A4F8mgBPfxx79gsV3vGqIvQC3S7CnEW2fGOzS7b7h2bpbjQRk1FUcTnvXltZFUwDz+/0e+uUgdvXhuJ2PaayiK8Y7NMTEcO3NrjNbyZuBar1UL7leGEHVPSF0KkUeir7Qfu383Zy0N09U1QV+1k345KirDQsnPtkRcNVU4efejA0s2t+monxUX5vPuuHfQPT3Hx+iiqwcWR5moaqpyUFtrZ7HYy7/PTdmlo6et/QX4gHBTk25bSAiEOe97S48UFtqXnbHY7DfctLrCxfXMZL7f1rmpvbUUx/d7piOfYUmXntO5f9pzQY+HplvDfJ6fn2b6lDAsW4+MGtzkL7VgsgZTFSqrBFdcNOr9/keZtm+jsGVv1WDzHlKAsUiqZdQUzdQx0Q5WTA821HNlTjdNpZ35+MWrKItImXZNXAAAgAElEQVQxQiMK1hqnHL7vzU0VvHi2F+3xUlJk55H37OPsxUHuOlDH2NQcXf0T1Fc5KSnKZ963wIce2M3g6AyHm2voGZxkeGyaD96/m3OdXq52j1FbWUzj0ugLG++/V3G5e5Qr1wOP1Vc7ybdbqdpUyHvfvpP2y0P0e6dxuwopyLdxSvfzB/ftYmttCR2eEboHJmmsCYzMuHx9hIaaEnbWlbPvpkrOXRmmsaaU+monzqJ8NpU4eOrEJQ7urmZmzseAd5oqVyFbN5fxo+MXcdjz2FFXxsWuEcPAfaS5Ou5/w2P76/jlyWsJOaYEZSFMwu9fZGxsbsPHCP//yp9X7ltXWczv3tW0LHC3NLqwWi1UVDjxeieX9g0P8uHB3+fz89ZdVRQU2AzHKd91y+aln1eOU96+uYT2K15OdwzgLi/kz35/Pw3uwLeHu2/ZsrSv37/InTfXUlHhXFq3ONTO8A+hnXVltLb30e+d4tDuKooK7Lx4poe3H2rgSEs1De7AB1JdVQmXro/SMzTJzrpybt/g6Is92yqWvq1oj3fZN5P1kqCcZFJxWmSClYE79LvRbL/wAB3+vEjD9lYeI/y59ZVO6iudvPNwg2Eb1vpwWdmOld8YAH5j/xbDbwrvOFgX8bjxMDp3PCQoCyHSLtETOGL9ppAMGz2uZXHR/NMOhRAiV8iQOCGEMBEJykIIYSISlIUQwkQkKAshhIlIUBZCCBORoCyEECYiQVkIIUxEgrIQQpiIBGUhhDARCcpCCGEiEpSFEMJEJCgLIYSJSFAWQggTkaAshBAmIkFZCCFMRIKyEEKYiARlIYQwEQnKQghhIhKUhRDCRLK+cOrAwHjGFCF0uYrweqfS3YyEM9N1ud0llnScd633oZleoxBpU+zW265o70PpKZuIzZaX7iYkRbZeVyKZ8TWSNsUuke2SoCyEECYiQTnIak3Lt9qkyKZrESLXZH1OeS2e/gla23u50DnCrsZyjjTX0FDlTHez4hLtWqxWC35/xqTXhchZOR2UPf0TfP47rzE7vwBAZ+8Yx09d59GHDmRcYDa6ll+93s0f/c5e2i8PZcWHjhC5IKeDcmt771IQC5mdX6C1vS/jApfRtexXVXz1iTNZ8aEjRK5IS1BWSlUBrwFvB3zAt4BFoA14RGvtV0p9Brg/+PjHtdavKKV2GO0bTxusVgsXOkcMH9Meb0Z93Te6Foc9j5k5X9Z86AiRK1J+o08pZQe+DkwHN30Z+LTW+g7AAjyolNoPHAMOA+8Fvhpp33jb4fcvsqux3LiNDa6MCchgfC2uUgcD3mnD/UMfOkII80nH6IsvAo8B3cHfDwAngj//DLgHuB14Rmu9qLX2ADallDvCvnE70lyDw758fKHDnseR5uqNHDYtVl6Ld2wWt6vQcN9M+9ARIpekNH2hlPoAMKC1flop9Whws0VrHYoQ40AZUAoMhT01tN1o36hcrqKIA7vd7hI+95EjnDjVxbkrw+zZtolj++vYs61i3deWKG53SdzPW3ktLU2VtF0aWpbCcNjzuPtQfdzniVeqz2c20d6HIWZ8jaRNsUtUu1KdU/4QsKiUuge4Bfg2UBX2eAkwAowFf1653W+wLaq1pj66nfm85+h2rHc2LfUeBwbG1zpsUrjdJRs6t9G1PPrQAVrb+9AeL6rBxZHmatzO/JRe40avK5HS9Qe95vvQRK9RiLQpduttV7T3YUqDstb6aOhnpdRx4KPA/1BK3am1Pg7cBzwHXAS+oJT6IlAHWLXWg0qp0wb7JkQ2fZ0Pv5aGKicNVc6MunEpRC4zw5C4TwDfUErlA+eBJ7TWC0qp54FWAnnvRyLtm44GZyIJyEJkhrQFZa31nWG/HjN4/LPAZ1ds6zDaVwghsoWsfSGEECYiQVkIIUxEgrIQQpiIBGURlcz8EyK1zDD6QphQNi1pKkQmkaAsVsmmJU2FyDSSvhCrRFvSVAiRXBKUxTKxLGkqhEgeCcpimWxa0lSITCRBWaySTUuaCpFp5EafWKWhymm4upzc5BMi+SQoB8kqasvJ6nJCpEfOB2UZjxudBGQhUivlQVkplQd8A1DAAvBBAvX2vkWKi6fKeFwhhNmk40bfAwBa69uA/0qgGGpaiqfKeFwhhNmkPChrrf8J+A/BXxuBPtJQPNVqtXC+02v42IVOGY8rhEiPtAyJ01r7lFJ/B/xPAtVDIhVPHQ17WtzFU434/YvUVxnXyaqvdkouVQiRFumsPPIHSqk/A14GCsMeSmjx1GhVhEuK83HY81ZVe3YW5aetwKZZK/VuVLZeV6ykmnXimLFNkLnVrFFKPQTUaa0/D0wRCLKvJqt4atQqwot+Du6uZmbOx4B3GrerkIJ8GywupqVirlkr9W6Uma5LqlnHTtoUu4ytZh30I+BvlVK/AuzAxwkUQU158dQ92yr46hNnAHCVOmi7NATAI+/ZF+8hhRBiQyyLi9mdOx0YGI94gf94/CLjUz4WFvzM+fzk26zk5VkpKbLz7+5sSmUzAXP2AhIxecRM1+V2l6TlDm609yGY6zUKkTbFLo6ecsT3Yc5OHrFaLejOUTa7i5lf8DM4Ekhf5OVZ6fCM5PxMtkycVJPr/2YiO+RsUPb7Fzmyt5onn7tEvt3K1tpSOjxe5ub9vPuuHTn9x+0ZyKxJNZn4ASJEJDkblAEGRqZ54I7tXB8Y53r/JC1NFWxxlzA4Ev2mTLby9E9w8kIfg6OzhpNqXjjTw/vvuSlNrTMmszJFtsnZoGy1WnCXF/HkcxeX/qA9feM47AO8++4dOfdVOBTcXKUO8iMM3eq4NkKvd5oaV6Hh4+kQbVamBGWRiXJ2PWW/f5GrvWOGf9BXe8ZyKiDDjeDmHZvFHSHoul2FvHi2J8Uti0yqpIhslLNB2Waz0tU3YfhYV98ENlvuvDThwW12foGCfJvhIvcF+TbarwybJthJlRSRjXIn8qzg8/mprzYewN1QU4LPF9fCcxlpZXBrbevh4O5qDuyqoqG6hIO7qji4u5rWth7TBTupkiKyTc7mlAEON1fz6vm+VdOs37on9/6gjzTXcPzUdWbnF/D7F3nxTDclRXaOvqWOX7ziYXZ+wZTBTqqkiGyT00G5tNDOg0e309U/QVf/BHVVTuqqnJQW2tPdtKRZeQMz9LtRcGvevolzV4aprSw2dbCTKikim+R0UG5t7+Xplz1UlDlo2V5J2+VBXjrbw72HG00ZfDZi5Vje5u0VnLsyxPmry8f2rgxuLY2ujAl2mdBGIdaSs0HZarXQ4Rnltn2bmZnzcaV7jK21ZexqtPHmteya0RdpLO/B3dV09o4t/f6phw/QWF2y6rqz5XUQIhPkbFAOn9G3fJxyXtbN6Is0lndmzofDnsf8QmC1vGdOdtHVPyGz4oRIo5wNygB9w9OGwap/OHtm9EUbyzvgncZV6qBpS/myG55rzYrLpm8RQphNzgZlq9XCxa5AYROHPQ9XqQPvWGB68cXro1kTeELD3Tp7x1Y95nYV0uHxMjPnizgrbmvNjXSGrDEhRPKlNCgrpezA48BWwAH8JXCONFSy9vsX2b21nLoq59Ii9y1NFRTk2ygpsmdFQA4JH+4WEpoMUlxoZ8A7bfi8853D/M8fnaWyrIDm7RX87x+dZXrWB8gaE0IkS6onj/w+MBSsRH0f8L9IUyVrCCxy/+r5Pl670I+nb5zXLvTz6vk+9mzbtJHDmk5ouNu9hxvZWlvKvYcbeeQ9+ygpslNSlB9xEo27vJC2S0M8/bKHrz5xhv2qatnjUvlbiMRLdfrihyyvFOJjdXXqdwCaYCVrwKOUilTJ+h3AU/E2pv3ykOHX9vbLw7Q0uuI9rKmEj0OONNztau+44SSagnzb0rbwG4Ph+4XWmPD7F7Mm5SNEOqU0KGutJwCUUiUEgvOngS9GqGQ9FPbUuCtZRytYeaHTC6zOKV/weDO+cOq5K0OcONVF+5Vhmrdt4tj+OvZsqzDct6LCyec+coQTp7o4d2WY6k1F2PKstLYtX3wodGOwd+jGjdDm7ZvoG5td81xmLXaZKlI4NXHM2CbI7MKp9QR6t1/TWn9PKfWFsIcTWskaohesrK8poa6qZFVOOc9KRhdOXTUuuWeMX568FjX/63bm856j27He2cQPj1/kpy91rtqnylXI2Us3Pisd9jxUg4v/+vXWqOcyUwkfKZwaO2lT7BJZODWlOWWlVDXwDPBnWuvHg5tPK6XuDP58H/A88CJwr1LKqpRqIFjJOsK+cbFaLeysKzfMKe+oLzfNSmgh62lPtDWG1+L3L3JoV7XhIj9H37KFO/fXLeWlP/XwgYgpIMk1CxGfVPeUPwW4gD9XSv15cNvHgL9JdSVrv3+RCx6vYUDRnV5ub66J99AJtd5haLGsMbxW3jfaIj/h066tVguP//TChs4lhFgu1TnljxEIwisdM9j3s8BnV2zrMNo3HtHWU74WXE853ct3xlPqKNq45PUsuxltkZ/Q74k6lxDihpxdT9nvX6Sx1jivs21LqSkCSrxpiESuMbxyRblknksIkcMz+vz+RWori1cN8XLY81j0L3K1dzytkyI2koaIlH4In50Xaxv8/sWoKRRZz1iIxMrZoGy1WnijY4AH7thGV98Ecz4/+TYreXlWXjjTQ1GBPWWBJVKKYCOpgfD0Q2ffOC+19fK3/3Ihprx0eBBuqivD5wtUsvb7Fw1TKLKesRCJk7NB2e9f5OgtW7jWb5xXvtCZ/BtVK3ugdx9qwO3MX3o80vTo9aQGrvaOrysvbZTHdtjzONJSy4tnuoHI1aIlIAuxcTkblAEmZuaZmplnfsHP4Mg0blch+XYrb9tbS3FBcte/iOUmXiJSA9Hy0kbHWWuZz9BjsYyukJ6zEOuXs0E5MLpikZfbb0wvDq2nfP9tW3nLTZVJPX+swXIjqYH15qVjWeYzNJsvWgplrW8AQojIcnr0hadv3DAwXh+YJN+evJcmlmC50npv0IWeE16lOpxRUI22v9tViHdsFoieQgl9A3j6ZQ+dvWM8/bKH//r1VjwR0kRCiOVytqdstVroGZw0fKxncJKugSncpYVJOXeyxvcajZJYb1460v6qwcXQ6MyaKZT1pkuEEMvlbFD2+fw01pbg6Vs9X72u2snpjgEO3FSZtJxoIm7ihYuWo15PXjpaHvsdB+vWzCFvdDahELkuZ4MyQPPWTbzSvnrJSqvFYhisE8ko+N19qD7u3Gu0Hurv3tW0rrx0pDz2Ws+VGX6p9aG/ejbmfR//5N1JbIlIpJwNylarheOnrvPAHdu42j1Gv3eaKlchjnwbL53t4e4D9UkPIiuDX7wrYMXaQ13v9cRz/Yn+BiBErsnZoOz3L7K5yknP4BTa46W40M7ZS4EVzxz2PG7fm7oFiTYa/M3UQ030NwAhck3EoKyU+lsCtfAMaa0/lJQWpVBtRSFd/RPc89YGegYmybdP0lBdws768oy7KWWmHmqivgEIkYui9ZRfAP4a+H+BmUSeVCl1GPjvWus7IxVDTXbhVKvVwvDYHK+c61+qPVdZVojP52dmboFe7zQ1ruSMvkiGjUw0SdYNuNDynkKI2EUMylrrbyqlbgK2aa0/magTKqX+FHgICI1HCxVDPa6UeoxA4dRObhROrQeeBA4Z7UucNfr8/kXGp+bYr6pW1ac73TGA1bqDGteWOK8yPdY70WS9azWvR/ixm7dv4q27qjLu24cQ6bDWDInPsLxWXiJcAn4n7PeVxVDvAW4nWDhVa+0BIhVOvSfeRlitFnqGJpmZ8xmOWrh8fcx0vbxY2xNrQF45yePz33lt1SSPeF6Dlcf+l5euGh5bCLFa1Bt9WutZpdQ7lVIPA98GvqO17t3ICbXWTyqltoZtMiqGmpLCqc1bN/H6m4OGj3X1T1BRkfqenVHtrvUUQY3VE7+6bPhh9MqFfg40127onGsdOxelu3BqvMc2Y5FSM7YJUlg4VWt9l1KqkUDK4RmllIdAXvfHWuv5BLTBqBhq0gunWq0WsASmDxuNSd66uZShoYmUjlwwuiEWTxHUtVitFtovDxs+du7KMK+d6+Hz347vnGsdO/SaJjN1Ek2uFk6N59hmvEFrxjZBGgqnaq07CfSUvwe0AP8JaFNK/XbMrYgsLYVT/f5F5uYX2NtUaVg546b6MlNMdthIEdRIoq1x0bxtE61tGyu8utZ6G7GmToTIRWsGZaXUh5VSJ4BfAHnA7Vrro8BdwGMJaMMngL9QSrUC+QQKp75GIOC2ErjJ90ikfTdy4lv31PDDZ9/kd+7awQO3baNpSxlv21vLQ+/cTX1l+m9KxbNwUawilXG6bW/ths+5VomoZHzQCJEtYpk8cgz4jNb6ePhGrXW3UuqP4zmp1voqcGvwZ8NiqMkunBrye/cq2i4P0Tc0RcuOCmpcRXzv5x38+99qTuRp4hJtUkhdlZPOvnHq3fEt6xlpCF2Nq3DDE1FWHnvPthujL2R9DCGiiyWn/HCUx55MbHNS69rgBN97uoP9qoryEgenLwzgdhXyvrfv5DXdR0ujK91NjDgpZHER/tu3X+PddzXx4pneuPKykYbQJWIiSvixKyqcS/k2M80+FMKMcnaatdVq4fxV76pxyp6+cdouDfHQfbuCC+HHNTclYUK9zl+81oWndxy3q5CCfButbYGaedozQu/Q5JplnsKttdBQIouhGgVZM80+FMJscjoo9w1NUV7iMMxv6k4vb9tjjiCxtaaE3qEp5nwLtAXX5wgJrwiy1rrF6xnxkMxiqFIBW4jIcjYo+3x+mrdX8HrHgOHjnb3jFBTYmJnxpbhlq/n9izRtKeXplz2rHnO7Cmm7dGNId6S8bCw1ASOdOxmkArYQxnK2HBTAroZy3BHWt6ivdpoiIIdEGtFQkG9b1nOOlJeNZ8RDKmY0SkAWYrmc7SkD7KovZ2RyblVKwGHPY/cGZ8wl2sqv/Du2lDHnW+CFMz1L+0TKy653xEO6JnYIIXI8KPeNTnP20iAPHmuie2ACT+84dVVONrudtF8e5OjemrTf6Au38iu/p3+CQoedy92j3HKTm5ZtLurdq4PnekY8xJvmEEIkRk4H5TMXh7jeP0nr2V5KiuxsrS3l7KVBXjrbQ0O1OefXw42v/OFB8pVzfYxNzkbs1cY64kEKnwqRXjkblK1WCyfP91NX7cTTN8741Dxnw26Yba0tNXW+02q1cLV3POZebUOVk0cfPkBrW+QRDzKxQ4j0y9mgHBrRMDnjW7qB5ip14B2bBWCHSda+WCmU7710fYyaiqKYerXhOeKW7S7+w281Gy7gLxM7hEi/nB59cdveWk53DPDAHds5sKuKfFseB3ZV8b53KC51jWCzmevlCV/IZ2J6Dk+v8apU4WtUrFz856cvdfIXj78ScfGftdatEEIkV872lCHwlf7Bo9t58tmLy2b0vXahn7tSUM16vcLzvd6xWVqaKgyXHQ3v1a43Rxwa5XHyQj99w1NUbyrikFQNESJlzNUVTDG/f5Gu/omlCtY1FUU47HnMzi8wPTtvqqC8Mt87O79AQb4taq92I6vM+Rb8DIzM4Fswz+gTIXJBTveUrVYLnp5xbtu3mZk5HwPeaVqaKijIt9HZM26qG1tG+d7Wth6OtNRisQQqpay8eRdPjliGxAmRXhkXlJVSVuBrwM3ALPCHWuuL8RyrZ3iK/bur+OkLV5alLxz2PH7z9m0Ja3OirBzW5vcv8ur5Pj718AEaq0sSsviPDIkTIr0yLigD7wIKtNZHlFK3Al8iUNV63V4+14t3Ys4wCA2OTmOzWZmbW4jw7NSLtJBPvdsZsUe/nsV/MnVInFnbJUQ8MjEo3w78K4DW+tdKqYPxHCRQzXqansFJw8evXB8z1Wy+kHgW8on1OZk2JE6mg4tslIlBuRQYDft9QSll01obrh4UrYrwjroyFsFwBENtZbFpqlmn0t2HGgzTHXcfqt9Q2xJ9XeeuDPGlfzhNcaEd79jsUu77cx85suFK38kg1awTx4xtghRWszahlZWurZECMkSvIryzvoypWd/SiIsQhz2P+mqnKapZp5rbmW+Y7nA78+NuWzKu642OfnY2uJbdnG1t6+HZk9dwO/OjtiUdYqlm/cAnfpy080s16+RKZDXrTAzKLwIPAP8YzCmfjfdA9ZVOeganONxczeRMYPSF21VIcYGNsuJ8031dTxWzr3XsGZjgyecurbo5e6Sl1tS5byFikYnjlJ8CZpRSLwF/DfzneA/k6Z/gO09raiqdlBTlU1leSHGBne1byg1XW8s1Zg1srW3GI0Rm5nw0b9tk2nYLEYuM6ylrrf3ARxNxrNb2Xian5/nHX3QsrRJ3usNLvs3K0b01iTiFiCI0eWU9QTTaCJEB7zTvPtaUkLYJkS4ZF5QTZeUfd/gqcW92jchX4CTy9E/wqzM9XLw2Qk1lMTu2lLKzrjymkRPRRojsrC83XGhJiEySiemLhAj9cRtxlxfS1ulNcYuyn9VqwTMQmDH47KvX8PSN80p7L08+d4lnT3VFXCRppUiLJt2+rzYZzRYipXK2pwyRZ7s58m2cPNfHnnrjoC1iZ7VaOH91iNd1P1d7J/Av+A3zwZMzPk5e6I+ptyzVsEU2y+mgvH1zKXcdqGNgZHpp5EVoaFWd24nNZjXlBBKzs1otXO0bp7Wtjwudw9RVOcmzWrjaM4rNavzlbMA7jYXYZ+eZfYSIEPHK6aDs9y8yPD5L26UhXKWOZQVUayuL5Y89BuFB0dM/wfNne6h2FfHkcxfDFjUKDFm7taU2sA60wWQdt6uQ6k1F637N5d9IZJucD8rbN5fyRscAvUM3Bvc77Hls22zuclDpZLVa6Owbp+3KMKc7BmnaUkrz9gr+94/O8tY9NXR4vIYpionpOYoLbIaTdYoLbBzaVZXqSxHCdHI6KAPsqi83nDyyS/LJy1itFobGZ3n5fDfOggLeuDi49HpNTPsCAbm5BnuehX7vtOExBrzT9Cz4ObSnGv/iIl19E9RWFtO0pYyddWWSExYCCco0VDm5e38dp98cYFOJg6ICG2+5yZ3zASKUlvD0T3B9aJLuwSkuXB3mwO4qvvu0XjWb7uDuamCRrv5J3K7CiCmKtktDdA9OUlJk51MPH6Q2jpSFENks54NyyMzcAh3XRiMOk8sVfSPTnLk8xMlz/WzfUsLW2jJO6YGlXrFvYZH5FdVIQrPpRoZmuam+nPGpecMUxdbaUgZGptlZV87t+2qpLi+UgCzECjkflKXSRnC0RO84F7pG6OwZ53r/BPXVJWx2l/B3Pz2/rFfcdmmIIy21vHime9kxBrzT7Nm2ibLifE6cvs7B3dVL1VyqXIUcfcsW9m3bxANHGiUQm9yH/urZde3/+CfvTlJLclPOB+VcrbRx42adlzmfD0e+jR+fuLz0WvQNTzE754u4xsTKnnCVq5Byp4PJ6VmOvWULY5NzjEzMcmh3FYf31lKZwws8Zbv1BHEJ4GvL6aCcqZU24mW1Wrg2MM71/kmseVZOdQzQPTBJY20J1ZvylqUlXKWOqDfsXKWOpRErDnse27eUscVdTHNj3bKCrH7/ommXWxTCjHI6KPv9izTVlRmuo7BjS1nWBGTPwASt7X2cvzpMfZWTxprSZeOIw5e+DKUlvGOztDRVGN6wq6924si3kW/Lo67KSV11CfXuYpobXYCMHRZiI9ISlJVSvw38W631+4O/3wp8BfABz2it/yJSgVSjfTfSlppNhYY3pao2FW3ksGm3lCf2jPDUiRtrD/cNTTE7t7BmWmJ2foGCfOMxxarBxdWeMf7gnbu4aUuZzHoUIoFSHpSVUl8B7gVeD9v8GPBu4DLwU6XUfmArxgVSV+2rtT4VT1usVgve8TnDccreidmMTF/0j05zuXuUmXk/Tx2/xM4G17Kgup60xCndz/vuVXR4vHT1TbB1cymHdlVxc1MFvpbA0qYSkIVIrHT0lF8C/gn4CIBSqhRwaK0vBX9/GvgNoJYVBVKj7BtXUPb7FxmfmuOFN7px2POWTbW+/ebNGRWQ+0am6R6a4vU3B+kemKC6oojiQjsDKwLwWmmJhYVF8m15Sx9Oc3M+/s1b69laU7oUgCUQZ571jqgQ6ZO0oKyU+jCrq4J8UGv9A6XUnWHbSgnU3QsZB7ZjUCA1yr4RrVWw8lowOM3OLyyban2tfyIt9dzWe843r3l59VwvnX0TXOsdx+0qZPuWMt70jBgG4GhpiR115VzsGqXSVUiVq5A7D9QnrAipWYtdpkoshVNzQSLeB2Z9L5m+cKrW+pvAN2PYdWUh1BJgBChasd0aZd+I1ipYuavRRWfv6l7jrgZXykcMRBqlEEqjXO2foGtgknOXh+gemqS+qoTGmhKeOnGZ6dlA7djQTbt33raVq8fHDAPwKd3PA3ds52r3KP3BccQ7G1wMj03zm29rXDbLLhGvgZlGX5i5cGouWE9xWKPhc2Z6L4XLqsKpWusxpdScUqqJQJ74XuAvgDpWFEiNsm/cIq2pfKS5eiOHTQhPf2DUxIXOYbbWlrJtcynff6bjxqiJ3nFePR+Y4hw+mWN2foG+4SlKiuy0tvVwpKV2aSJHfXWgHmHP4AQ1FUU01Di5uamSxuqSpUCcSWkbIbJN2oNy0EeB7wJ5BEZUvKyUOgm8PVgg1QJ8MNK+GzmxWRdMb+v08tUnziwF4N6hKSan52OezNHVN8HRt9ThHZ/hWt849dUl3HWgjoqyAm5pqsBqteDz+SUQC2EyaQnKWuvjwPGw338N3LpiH8MCqUb7bpTZFky/NjDBr05fj3vUBAQW//nV6S7uf9s2fAt+triL2F5bQr3bKTfqhDAxs/SUTSFdATmQpujlgmeEXQ3l1FYWMzgys2yfaKMmqlyFS0VfITjDbnMZx4LrTUC9KT5shBBrk6CcZqsWROoZu3GjLmymYbRRE1s3lwHQPzJNY00pt+2rZefmUkDSEiJz5erCSBKU0yzSgkh2FiAAAAcSSURBVEihG3XjU/NL20OjJq50jzLgnWbbllIK8+30D0+ybUspOxvKUfXl1LuzdyElIbKdBOU0irYgUuhGXe/QJAPeabZuLqXKVcir5/rYurmUe29tZEdNyVIe3Cz5cCHExkhQTiO/f5FdjeWGCyLtrC+HxUXGJuc43FxDyzYXjdUl/Nbbti67USejJ4TILhKU0yzSOOnb99WuGhHi9y9K8BUiy0lQTrO1xklLEBYit0hQNoHQOGmzTiEVQqSONd0NEEIIcYME5TBOZz6lpfnpboYQIodJ+gJ4tWOQs5cH6ewZZ7O7mMaaUjaVFnBoZ2W6myaEiFG2FHDN+aD8Sscgf/uT9mX16k7rAR48up2THYMSmIUQKZXzQfnspUHDGXWXr4+Sl2eJ8CwhhEiOlAZlpVQZ8PcEKojkA3+itW5NV+FUpzOfawYL3AP0e6epLC+ktDSfsbG5eE8hhBDrkuobfX8C/FJrfQz4APDV4PbHgPcDtwOHg4VT30WwcCrwSQKFUyPtG5e5uQUaaowrALhdhbx5bQSfL96jCyHE+qU6KP818PXgzzZgJrwYqtZ6EQgVQ72dsMKpwMEo+8Zlbm6BnfXlOOzLa6c57HkU5Nuoq3IyNSW9ZCFE6qSjcOpJpVQNgTTGx0ly4dS1lBbaed+9iraLg/R7p3G7CinIt3FK9/PB+/ds5NBCCLFuKS+cqpTaC/wD8F+01ieCvd+kFU5dq4rwb7hL+MXLneza6qJqUxHa46XObeeD9+/hvtu2Rb/IJMjWAprZel2xkmrW5rLetZrX4ydfenBDz0/1jb49wA+B39VavwHJL5y6VhVhgJu3bwIgPz8Pmy1vKWVhlmrWmc5M1yXVrEWyxfJeN1M1688DBcBXlFIAo1rrB0lj4dRwc3MLzM0trL2jEEIkSUqDcjAAG21Pa+FUIYQwC8vioiwNKYQQZiELEgkhhIlIUBZCCBORoCyEECYiQVkIIUxEgrIQQpiIBGUhhDCRnF9P2QwiLVOa3latTSl1mhvrk1whsNhUypdgNTuzLVkbQ3tT/n5UStmBx4GtgAP4S+Ac8C1gEWgDHtFa+5VSnwHuJ/BafFxr/YpSaofRvglqWxXwGvD24DmT2ibpKZtDpGVKTUspVQCgtb4z+N8HSdMSrBnAVEvWxiAd78ffB4a01ncA9wH/C/gy8OngNgvwYPC6jwGHgfdy47VctW8iGhX8sPg6MB3pPIlukwRlc1i1TGl6mxOTm4EipdQzSqlnlVJHSdMSrBnAVEvWxiAd78cfAn8e9rsPOACcCP7+M+CeYNue0Vovaq09gE0p5Y6wbyJ8kcAHYnfw96S3SYKyOaxaplQpZfbU0hSBN+y9BKbD/21wW8g4UEbsS7CWJbOxqaKU+rBSqi38P+AmrfV02JK1jxL5NTDD65Xy96PWekJrPa6UKgGeAD4NWIIfQhD59QltN9p3Q5RSHwAGtNZPh21OepvM/oefK1YuSWrVWpu95kkHcDH4putQSo0Cm8IeT+gSrJnCLEvWblBa3o9KqXrgKeBrWuvvKaW+EPZw6JojvRZ+g20b9SFgUSl1D3AL8G2gKtltkp6yObwIvBMgtExpepsTkw8RzDUqpTYTCCaTSqkmpZSFQA/6eQyuTWs9BswZ7JuVwpasfb/W+mcQWLIW49fADK9Xyt+PSqlq4Bngz7TWjwc3n1ZK3Rn8+T5uvD73KqWsSqkGAh8YgxH23RCt9VGt9TGt9Z3A68DDwM+S3SbpKZvDUxgvU2pm3wS+pZR6gcDd5Q8R6BmkfQlWEzL1krUG0vF+/BTgAv5cKRXKLX8M+BulVD5wHnhCa72glHoeaCXQqXwkuO8ngG+E75ukdq46T6LbJKvECSGEiUj6QgghTESCshBCmIgEZSGEMBEJykIIYSISlIUQwkRkSFwOUEqVExhOtR0YAP6d1ro3va0SuUop9WHgDq31B9LdFjOSnnJu+Evgea31buAbBFYbEyKllFIFSqm/Av6/dLfFzCQoZxml1HeUUv8+7PfjBAazfze46fvAfcHVr4RIigjvw48RiDl/mq52ZQIJytnnceAhAKVUI+AG5oAegOAaBmPB7UIky6r3odb6v2ut/5Qby2AKAxKUs89xYLNSaiuBufrfJjBVNpyF5YulCJFox1n9PhQxkKCcZYKrtv0d8D7gd4HvANeBGoDgEowlwFC62iiyX4T3oYiBBOXs9C0CC9h4tNbdwL8Q6K1A4A/kea31fJraJnLHt1j+PhQxkKCchbTW1wAPgT8KCFR0uFUp1Q78MTdWsRIiaQzehyIGskpclgmut1tLoAxNi9Z6Ns1NEjlI3ofxk55y9nk38AbwqPwhiDSS92GcpKcshBAmIj1lIYQwEQnKQghhIhKUhRDCRCQoCyGEiUhQFkIIE5GgLIQQJvL/A/JDZhNXPPx2AAAAAElFTkSuQmCC\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": "shown", "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": "shown" }, "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": 15, "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", "$$ \\Large\n", "X_{ij} \\rightarrow X_{ij} - \\mu_i \\quad , \\quad \\mu_i \\equiv \\frac{1}{N} \\sum_i\\, X_{ij} \\; .\n", "$$\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": 16, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\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": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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9+/cyd+4FrVNF//d/fwzAn//811OuaTKZePzx3/GnP/2eb3/7ZiIjo1i6dBl33HEXAQEBp5TvDxUVFTz22MNUV1cRFmZi3LgJPPXUs8yaNae1THV1dbt1T1JTp/DEE0+yZs0zvPrqS0RHx/Dd7/5P6xobPtnZWRw5ktflmJ2BSufp2Ak3SJWX13lkZL7/DNS6/+K9bVR9kEHF5Au4/r8vo6HJSeCxI5SvewMAy6rreC7LQXa+FVNIALaGZgBmTrRwz9VT0el07TZqG2jJxkCt9+FgONR9eXkZN920itdf34DZHH36E84Bt9vNtddewcMPP8b06ed3WmY41P1A1DIbpVeDRGRvFDGkOT79iHH2YublbsJ1WCPKFIR1UwZNBUdpKjhK2ev/Jn2kg5T4cEwhRlLiTCRawthzqJx3thcAtO6XMtASDSH6msUyghUrLmfDhrf67Z7btm0lIWFUl4mGGJwk2RBD1u6DZWwJnkijMRhPva113EXEvAsIiItDFxSE49gxDC/9haW57xN8/Aim0EAeuGEGsZHBbPjsKNv2F/v5KYTwrzvvvIePPvqAmpq+X4HA7Xazdu0L/OhHP+vze4n+Jd0o4pwYiHX/0N++pLiinhlGK9cYCwlNnUz1ls04K74elBZ23nQcpaU0l53EqTei++4DpM5Opay6gV/9YydOt5tbL1V8kXuSdEsT4fs/G1DdKQOx3ocLqXv/kbr3j7PpRpEBomJI6GxchaHlv8ScFRcyavI1HPu/J3BWVKALCCB83gUEjhiJeXk66HTUffE5pX9/HsPLz9IQfT+V+ijMEUGcKK9n/fajVFQ3krZ7K4ZK74CugZJsCCHEYCDJhhgSrJsy2s0Y2ZFdwrHyekZbwpgZ6aTw4YdwlHi7RFwz5/NKyPmkpyYR3bJoUMQFF+JubKLslRc5ufYfZKRew4nyenQ6wAOLI+ux1LsJShkja24IIcQZkmRDDAm+BMD39zufFwAQ0GTnxNO/x1ldTVDKGPSBgawzTSM737syX9tt56OWXkRD/mHqdnzOZRPyYMwE7E0u8otrWWjIxVlyDMPUadKqIYQQZ0iSDTEkhLasieGj1+lItpdw7clMnHU1xK66npOp88jILGJyshm3wdi6xkZbsVdeTf3+/bDlfb659GKOmpOp2vURJVOnkDzVIK0aQgjRC5JsiCHFnptD6euvcUmZjeAAPXpbDbqAAMzLV/DPN79qbdH44fUzOj0/wGIh5VePcfwPT1KzZTOWkXFE20spytXz2rxVXBYSR2p/PpAQQgwBMvVVDCnWTRk4jxWS0FSJ2VYOQHjaXHR6PelpSa1Lk3fHGGVm1A/uxxAZhetkKTVR8WwPT+XA0SoyMov64zGEEGJIkWRDDCnRy9OpMI3Aha51flbs1d7NmFJTovnh9TPajdPoTG6BlT99dAzHFd79/6oDTBSGxmMODzptoiKEEOJUkmyIIaUiejR/i1tBUbK3myQwYRTGKPMZXcO3HX3GyQBsoWYSKvIJxUmjw8nYUd7Nm+y5Od49U3JzzvkzCCHEUCNjNsSQkVtg5a/veT/8XY2NAFiuu+GMr+NrvUhPS0LXfAH6T94nPbiUdY2J7DlUznS9leI1z+K22QBZc0MIIU5HWjbEkPH5e59y6aH3GV9/jKSyPOzB4YROmXrG1/F1twCsb4zDqTcytmA3Bo+L7VklWDdl4LbZ0JtMMjtFCCF6QFo2xJAxteQrzPZiRuobCfQ4Mc5dgE7f+3w6I7OIQxVOdkdMZG51DksST3I4p4wmQy1BKWOwrLpOWjWEEKIHJNkQQ0JugZWPgydwfkgD43X1eAICGP+Ns2t1SE9LwtbQTJl5Fp5ducyw5hJd58bVUEJJTDJ2mQYrhBA9IsmGGBI2fH6UvICRmGImMvb4VtyzLuTp/+STnpZ02tknXUlNieaXLecWO3Ow7d1Nwci56PV6vgiaSHhmUa+vLYQQw4mM2RBDgjksCDweFtpyQafjk5CJ3hkl52hdjKiLlwEw1VjLa/EXY5ygZBqsEEL0kCQbYtBranaRfdTKZHcZodVlhM+ew+Il03q0gFdPhahJBI5KZESJRkSzjbTUkdKqIYQQPSTJhhjU7Lk55P/u/4i1HmOp/SAAGw3jAXq0gFdP6XQ6oleko3O7WVy5B62ouvX+st6GEEJ0T5INMWjZc3M49uwzGPI1FlbuJfxkIeUxSXxeYeyTZcXD516AJ340U2wFnDhUiNvjad3a3rop45zfTwghhgoZICoGLeumDHQN9dj1Qbh13rw5evllTK0I7pPxFDq9nuzI8UwrOUZ8zXGKK+pP2dpeCCHEqfo02VBKzQV+q2naEqXUDOBPgAtoAm7VNO2kUuoO4E7ACTymadp7SqlY4BUgBCgGbtc0zd6XsYrBJ3p5OjW2Jj60j+DKss8ISkomaelcUnW605/cC7kFVgpNCUwDUuzFaEXVXDxrsqy1IYQQp9Fn3ShKqZ8AfwOCWw79Efi+pmlLgLeAnyql4oB7gQuB5cATSqkg4JfAK5qmLQT24k1GhGgnNHUyVVfeTrirAR0QuXgpuj5KNKBlz5QqPfXB4SQ3lPLe9iPkFlj77H5CCDFU9OWYjSPANW2+vlHTtH0tr41AI5AGbNc0rUnTtBrgMHAesAD4T0vZDGBZH8YpBrGcAiuTbIWg1xM+c1af3is9LYmp42IISZ1KiNtBeGUxz67PloRDCCFOo8+6UTRNW6eUSmnzdQmAUmo+8D1gEd7WjJo2p9UBkUBEm+O+Y90ym0MBsFjCzz540Sv9Xfcej4fjh4+xpKmCyOnnETc2oU/vZ7GEs2hOMlW7w8jZu4MJ9cfYEjKS9dsL2LyvmGuWjGf6BEufxtBVXMI/pO79R+p+cOnXAaJKqRuAnwMrNU0rV0rVAm2/Y8KBasB3vKHNsW5VVdmxWMIpL68794GL0/JH3ZdU1pNwMg+AhvJKCj/9sl/GT7jjU3AHBDLRVsRBtRCn08Weg2U4HE4SooJPf4FzSL7n/Ufq3n+k7v3jbBK8fpv6qpS6GW+LxhJN0/JbDmcCC5VSwUqpSCAVyAa2A5e1lEkHtvVXnGLwOHyihkm2QjyAo/hEv00/1QcEEDhpCmanjQkhzVy7eNw5XUBMCCGGmn5p2VBKGYCngSLgLaUUwFZN0x5WSj2NN5nQAz/XNK1RKfUY8K+WmSoVwE39EacYXI7lHWN2UwWO2HiqPYHETF/Qb/eOPn86ZVl7cR7KYcJ/LZDVRIUQoht9mmxomlYAzGv5stOfxpqmPQ883+HYSWBFX8YmBr/mLO944/2RE9isS2FqeVC/7cIaNmUaALNK95L98pvEWo8RmjoZe24O0cvTZTqsEEK0IYt6iUGptt5BYsVhPMDx2HFMjYzs126MgJgYCAwkzNFE0/bN2F1N3iXLXS4ASTaEEKINSTbEoJSbsYXExnKqQqK58pJpfunGMC9eStWHm6g0hpMYEoDbZkNvMslqokII0YHsjSIGJeO2TeiA2PAAv42XiL32ehpNZiyOKnTX3ELo1Gkk3Hm3tGoIIUQHkmyIQcfR7KLB6X094qprui/ch3QGA7UJ4wnwuMg9YSPxvgck0RBCiE5IsiEGnc2f5hLbVEWNOZ6ItLl+jeWQ0buIV23OAb/GIYQQA5kkG2LQOf7Zl+jxUBA1xt+hMPuSeXiA0bYSf4cihBADliQbYlDxeDykVHnXhJucvsS/wQDnTUuiMiKOEXUl7Mk8xO9f30dugRV7bg7Hn3rSO0NFCCGGOZmNIgaVspNVjLKVUG2K5bPDdvTRVv8vqDVjLrpPN5D3/ofUuaOo3P02oeF6mgqOAjINVgghpGVDDCoFX+7DiJuiiNFk51vJyCzyd0hMumwpzToDYyvyuLjpECMqC3GUlhCUMkamwQohBJJsiEHGtetzAJLHxg+Y/UiiY6MoM48msrGaSZdfgt5kwtPYiMFkklYNIYRAkg0xiLjdbqJKvV0TcVVF/PD6Gf7vQmnhHu9dKF3TTrBdLcczbpK0agghRAtJNsSgUfLVQYweF41BYcSsuOz0J/SjEWmzAGjMyWJrTRgbx62QVg0hhGghyYYYNEq2bQfAMeMCrJsyBtRMD3dYJGWBZuLrSpieFD4guneEEGKgkNkoYlDweDwE5e7BhY6oE4ewH/cODB0orQeb954gOmwU86uquH2SnogB0r0jhBADgbRsiEGh/vBhghwNGPAQYDQQOnXagBoTkZ6WRFmsd5Gxip17/ByNEEIMLNKyIQaF41u3owfqzXEkrrpuwLRo+KSmRFO6LI2GI5sIzM3G4/Gg0+kAsOfmYN2UQfTy9AEXtxBC9Adp2RADnsftxvnVHhr1ARRf+R2ey3KQW2D1d1inSEmIJD90FAZbDY7jx1qPWzdlYM/Owropw4/RCSGE/0iyIQa8xqP5BNprOWxKJvdE3YBZzKuj0SNMFIaPBsD21f7W49HL0wdct48QQvQn6UYRA17F9h0A1I+bwsp5yej1ugE528No0KOfmIq7ZBu1+/YRs/IKwDuIVbpPhBDDmbRsiAGvLusrHDojX7ljeHPrEdLTkgbMYl4djZ+QwIngWBwF+bhsNn+HI4QQA4IkG2JAa7ZaMVaVUxQyksp6J0dL6gZkF4pParKZI6GJ6Dwe8rbs8Hc4QggxIEiyIQY0e84BAOqDwrm18hPmhtQMyC4Un6SRJo6GJwJQ8uUuP0cjhBADgyQbYkCr2rcPgCRqSagqYqUnf8B2oQAY9HrCk5OoNYYSX1WEx+Xyd0hCCOF3fTpAVCk1F/itpmlLlFLjgX8CHiAbuEfTNLdS6mFgJeAE7tM0LbOrsn0Zqxh43M0OGrKzqDWaKJ22kFHWnEExo2NOahxH9iVyfu0hGvOPEDJhor9DEkIIvzpty4ZSKlAp9XOl1FqlVIRS6pdKqcAenPcT4G9AcMuh3wMPaZq2ENAB31BKzQQWA3OBG4Fnuip7pg8mBj/7gQMYnA40UzLZOguJ9z0wKGZ1pCabORI2CoDqLZs5/tSTA2ofFyGE6G896UZ5BggDZuJtfRgPvNCD844A17T5ehawteV1BrAMWAB8oGmaR9O0IsColLJ0UVYMM8c/+wKA0Q0niaksGpALeXUmwRJGuTkRl05PTWZm64Je9twcSTyEEMNST7pRZmmaNlMpla5pml0p9S0g63QnaZq2TimV0uaQTtM0T8vrOiASiAAq25TxHe+sbLfM5lAALJbw0xUVfeRc1/1XudkEAaOaKmjM38XmfRNZNCf5nN6jryQkxNB0MIBQTxON+kCCL7wY25YPsWdnERhoJHnR3HN2L/me9x+pe/+Ruh9cepJseFq6TXwf/rFtXp+JtmMuwoFqoLbldcfjnZXtVlWVHYslnPLyul6EJs7Wua77ZmslwU31ADgMAUQbXaRE1g+af9+q2gZywlOYXaORFT6Wk0fhrqWX4HA4MS295Jw9h3zP+4/Uvf9I3fvH2SR4PelGeQr4CIhTSj0F7AL+0It77VVKLWl5nQ5sA7YDy5VSeqVUEqDXNK2ii7JiGGnQDgJQERBBwIg4zLUnCd//mZ+j6rlls0azM8o7viQpoIl0S5NsxiaEGLZO27KhadqLSqndwFLAAFyhadpXvbjXA8DzLa0kucCbmqa5lFLbgB14E597uirbi/uJQczekmxsjFvEj6+ZhG3zpkExE8Vn8fkJvPHJEaqDzcRVH4P1a7HXe1tqJNkQQgw3p002lFK3trz0tVnNUErN0DRt7enO1TStAJjX8voQ3pknHcs8AjzS4VinZcXwYc/NpVEfSEjyaKKmTSVq2lR/h3RGDHo94xMj0UrimVtdBU4nepNpUCVMQghxrvRkzMbSNq8DgIXAp8Bpkw0heqO5sgJnZQVFYaMZP3rgLuB1OhNHR7H7QCJzq3MwRkcTd/t3pFVDCDEs9aQb5fa2XyulooHX+iwiMezZD3q7UIpCRjI3McrP0fSeGh3FhpAROAyB1NY5OFQTygp/ByWEEH7Qm+XKbUDKOY5DiFb1WfsBmGgrJLG+2M/R9N6Y+HD0RgP5IfFENNvYsbU3Q52EEGLw68mYjS18PdVVB4wF3u/LoMTw5XE6sWdn4dQZSGosp/nTj2DmdH+H1SsBRgNj4yOF0mdCAAAgAElEQVQ4UpXIJFshK8wyVU8IMTz1ZMzGI21ee4AKTdNkCUTRJ+zaQdyNjRwOSyI6WM/MQT6gcmJSFB8XJOBBR2J1kb/DEUIIv+iyG0UptUgptQhvguH7AxDbclyIc67ynfUAHAsZSdnKWwb9gMqJo6OwG0NoiImn4XAeLrvd3yEJIUS/665l49Fu3vMAF53jWMQw5ygtpfHIYQDG1h9nxMjBvxzxuIRI9DodR02jmVJZjD0nG0OYSRb4EkIMK10mG5qmLe3qPSH6gm3PLgBqTDFkRkzl/tGDdyaKT0iQkeQ4E7sLLUwB6r/aj7O2Fnu2d3shSTaEEMNBTwaIzgN+BpjwDhA1AMmapqX0bWhiuPHthrol/DwW2zWMhYdhCHwYT0iM4oPiWjymcGz79mK0jCAoZYws8CWEGDZ6MvX1BWA93sTkGeA48HZfBiWGH7fDQUPeITwjE5hWo5FQXYR1U4a/wzonJiRGgk5HXcJ43HY7jsICDCaTtGoIIYaNniQbTZqm/QP4BKgCbgWW92VQYvhpOKThcTopjUwkM2oKxyNHs1E3ltwCq79DO2tJLWNPCsJHA2C0jJBWDSHEsNKTZKOxZdVQDZinaZoLb1eKEOdM7Zc7ANjWFENhaDwvWZbyZUMkGZmDf7pobGQwoUFGdjWbcev0NBsDpVVDCDGs9CTZ+D3e5cnfBW5RSh3Au828EOeEu7ER2+5deKKicTmaua74I1IaShgTH056WpK/wztrOp2OpJEmyuweioJHoCs5jrO62t9hCSFEv+lunY1oAE3T3gAu1TStDpgN3Azc0j/hieHAtmc3HoeDwhGTSKvJYZy9mCt1R/nFt+aQmjJ4N2Jry9eVUhU/DoD6bFm6XAgxfHQ3G+WQUmoz3gGiHwBomlYP7O2PwMTwUbtjOwCfkEBQVBimkABm3XCNn6M6t8YmRABgnnk+5G+ndvtn1O3aKWttCCGGhe6SjSTgGuCHwHNKqReBf2iadrRfIhPDQrPVij03B31oKCH2WkqiEom9Jp3QIdKi4TMpyQzAV9UGJowYScORw+B203A4j8C4eCyrrpOkQwgxZHXZjaJpml3TtJc0TVsOzAdqgbeVUpuVUjf1W4RiSLPt3gmA225ntjWb1GTzkOk6aSsiLJBRsWEcPl5DyNTzwO1GFxyMp7GRpoKjQ2aarxBCdKZHW8xrmlaiadpq4HLgEPCPPo1KDBt1u3eBTscJUwKZUVOoqGn0d0h9IrfASoPDicPppna0AiBUTSIoZYws8CWEGPJ6soJoFHAd8E1gJLAWGNPHcYlhoLmqisbDeYSoSXwQsZiyqga+v3BofmtlZBZhrW0C4KDHzBRTOI0FBYz93e/R6XuU8wshxKDVZbKhlLoe78yT+cAG4Beapm3rr8DE0OfbC8U4dQYn9zeQmmxmxgSLn6PqG+lpSThdbg4WVnPweA1pM2ZQ+9k2Go/mEzJuvL/DE0KIPtXdr1Tfx7ssebKmaf8tiYY412y7doJOR35UCsn2Epbvf4PCxx5t3SNlKElNieYn/zWTpBEmDp+oJfi88wHvtF8hhBjqutv1dWF/BiKGF2dtLQ2H8wgZP4H9pc2kVR8g2F5MUwVYN2UM2ZkZk5LNFJXZ+MIeQZIhAGtmJrHXXo9Op/N3aEII0WdOO2ZDiL5gzz0AHg91iRPYc6gCe9wMJruDAIb0YMmI0AAANu0tYUlIAqlVhThOHMdVV9eaZNlzc2T9DSHEkNKvyYZSKgD4F5ACuIA7ACfwT8ADZAP3aJrmVko9DKxsef8+TdMy+zNW0bfsB7IB+Kg6DLfHQ2nUKJLvvt7PUfW9nMIqAOxNLhrGpEJWIba9e2g4chh7dhaNBUdx22wAkmwIIYaMHg2DV0pdqJS6SykVqJRadBb3uwwwapo2H/gV8DjevVceaum20QHfUErNBBYDc4Eb8W5tL4YIj9tNfc4B9CGhzD72Jcn2EpbOGOXvsPrFynnJmEKMNDvdXPJfK8BgoPbz7bhsNu8U2PSVhE6dNqRbd4QQw89pkw2l1A+Ax/CuJBoOrFFK/aiX9zsEGJVSeiACaAZmAVtb3s8AlgELgA80TfNomlbUcs7QnKYwDNV9sQNXdTW64CBiKwqZV5PDJXNG+zusfpGaEk36vGQA8sobCZs8hebyMpoKjmIwmYhenk7ifQ9Iq4YQYkjpSTfKbXhbGL7UNK1SKTUHyARW9+J+NrxdKAeBWLyLhC3SNM3T8n4dEIk3Ealsc57veHlXFzabQwGwWMJ7EZY4F3pS9x6Xi8L31qMLCCD2hhv5fO0GiifM5a8bc7lmyXimD9Gpr23NO28Ub2w5QmF5PfMuvYhDWV8RFDeSMTesIqoX37/yPe8/Uvf+I3U/uPQk2XBpmuZQSvm+bsQ73qI37gc2aZr2M6XUaOBjILDN++FANd6l0cM7Od6lqio7Fks45eV1vQxNnI2e1n1DXh5NZeW4p6exej+cSFhGXFAopQfLcDicJEQF90O0/hURpCc40MA+rYzrLpiJPjgYl6MZx4jRZ/z9K9/z/iN17z9S9/5xNgleT8ZsbFVKrQbClFJXAe8Am3t5vyqgpuW1FQgA9iqllrQcSwe2AduB5UopvVIqCdBrmlbRy3uKAcS217uuxC59PCfK60m2l3BjyWYWR9aTnpbk5+j6h0GvZ+LoKE5WNVDjgPALLsRptVKx/i2OP/XkkFxnRAgxvPUk2fgxkAfsB24F3gd6O2bjD8BMpdQ2vK0a/wvcAzyqlNqBt5XjTU3TduNNOnYA61rKiEGuPucA1Vs+RhcQwKzl8wkM0DOvJofgojwubjo0JDdg60xugZWyKjsAWlEV0SvSwWCgestm7NlZsimbEGLI6Uk3SkbLzq9rzvZmmqbZgM7mNy7upOwjwCNne08xcFSsX4en2YEhMor4uCgczW5OTprHlKZDw2r2RUZmEaXWBgAOFlUzb8okwqZOo37/PoInTBxWdSGEGB560rIR2jK+QoizYjR5+/vMyy7l0DHvEJzY888bdrMv0tOSmDLGTIBBzxc5peQWWDHN8C5fHn7+rNaFvaRLRQgxVPQk2bAABUqpEqVUvlLqqFIqv68DE0NLs9WK/WAuRrMZ8/IVlOzax3XFHzGhuczfofW71JRoHrjhfIKDDDia3bzzeQFh580Ana51TIt1U4Z0qQghhoyedKMs7/MoxJBX8fabeBwOYm66hQbtIGO2v02ws5HgXVth4Rx/h+cXs5WFLXuLGRsfgTEykhA1iYaDuTSdON7alSJdKkKIoaAnycYp4ylarD2XgYihy93YiG1nJoFx8UTMv5DC3z9JsLORpoBgEldc5u/w/GbpzES27C2m2tYEgPniZTQczKV680eMvPW2YdW1JIQY2nrSjbK0zZ9Lgf8HXNKXQYmhpf5AFh6nE9Ps2ej0ek6ouRwJTSB//tU8l+Ugt8Dq7xD9YlRsGJFhgRwoqMLt8RA2/XyMZjN1uzLxOJ0ybkMIMWSctmVD07Tb236tlIoGXuuziMSQY9vtHYdgmjGL3AIrr+WDLWEZE/WRHMr3JhrDZdprWzqdjkRLGAcKqti69wRLZyZiOn8W1R9/hF07SNWHm7BnZwGyKZsQYnDr0UZsHfiWHBfitBylJdTt8nahBCUn896OAmwNToIDDXzjwjFMHRs9bBbz6kxdQzMA/8ksAsA0cxYAJ//5AqGpk2VTNiHEkHDalg2l1Ba827+Dd1fWsXgX9hLitMrfeA3cbmKuuRadTsc0XSVTi7dgn7mQ1JToYdmi0dbVC8bw9FtZeFr+h4VMmIjOaMRZZaU+O4vRD/zEvwEKIcQ50JMBoo+0ee0BKjRNk05kcVq2vXuo37+PEDUJ0/kzAYjYv51YezGGsiy8q9MPb9MnWJg2NoavjlRSXt1ARXUDJ0ZMJKk4h6D4BH+HJ4QQ50RPko1rNU37ftsDSql/aZr2rT6KSQwRlRvfBZ2OkTffik6n46vDFXwYOIELw51ccPlKf4c3YMyYEMtXRyrZl1dB1tFK8gOn8D3dQRoO5/k7NCGEOCe6TDaUUn/D22UyWyk1pc1bAXi3exeiS00nTtBUcJSw86YT2PIb+lvb8ikKiacqNpmvsptJD7UO+24UgBnjY1mLxt68cq6Yn0IGoDMqmg7n4igtITAu3t8hCiHEWemuZeMxvANB/wg82ua4E8jtw5jEEFCzdQsAEfMXAGDPzWHZwY1sDpqII2Yc2cN4FkpHUaYgxsRHcOhYDaNHhvPD62dQ+4Wd0sO5VG58F1ddHdHL02VGihBi0Ooy2dA0rQAoAKa3THcNwztA1ADMwLtrqxCnaK6soObTTzDGxBA2fQb23ByKn3uWEfU2Lgx3kbBsBf/ZeWxYz0JpK7fASn1jM26Ph6z8Si6YEodpxkx0gYHYdu/C43AAMv1VCDF49WQ2yiPA/Xi7TyqBBGAXMLdPIxODlvX9jXicTmKvuobGw3kUr3kWd70Nuz4I3fyLmDwmhsljYvwd5oCRkVlEWZV3F9i9eRVcMCUOfXAwpukzqNuZSUB8Ai6bzbtfSm6OtHIIIQadnqyzcRswGu9CXkuAK4GKvgtJDGYuez21O7ZjjI4hfO4FHFv/Dm6bjQZDMO8mLCFt5QJ/hzjg+HaBjQwLJCu/kmanG4DwtHkAuBsaaCo4ijVjo2zOJoQYlHqSbBRrmlYLZAPTNU3biDf5EOIUNZ9uxeNwELX0Ig4WVbPePYYjoQmsH7mQ8CmTCQ8N9HeIA05qSjSXzU3GaNTR5HChFVUBEDbtPAITR+OqriJozBii01cO6UW+ZHl2IYauniQbNUqpW4DdwDeVUvOA0L4NSwxGLrsd63/eRx8SQuTCxWRkFqEZLLyTvJzC0HjKqxuG7T4op5ORWURljXdDtr153oZDndHIyFtvB50Ot91O1EUXk3jfA0O2C8W6KUNaboQYonqSbPw3MELTtE/wDhhdAzzUhzGJQcjj8VD275dw22yYV1yGwWQiPS2JqWOjGT0iDICSSjsZLctyi/Z8XSlBAQZ2a2U8+dpecgushIwdS9TFy2g+eZLqDz/wd5h9Knp5+pBuuRFiONN5fOskd0MpFQaMw9uVEqJpWn1fB3amysvrPBZLOOXldf4OZVhq+vQjCte+RPCYsST++EH0gd7uksqaRn7y3OcYDXoSLWFcu3icTHftxjNvZ7FbKwdg6thofnj9DFx2O/k/vh9PczOBiaMZcd0Nra0bQ/l73p6bg3VTRqcDYrt7r78M5bof6KTu/cNiCQfvrNQzdtqWDaXUxcB+YAMwAihQSl3am5uJoakhL4/CF1/GaI4m4Z57WxMNgM27j+PxQLPTTVhIgCQa3cgtsFJS6c3j42NCW6cGG0JDMYRHgNuNo6hwUHQznIvxF111q9hzcyhe8+wZd7l0jEnGiAjRf3qyXPmvgQVAhqZppUqpxcC/gaHdpit6rOqD/4DHQ9x3vktetZuMD/Yx01iF/otP0EIVJvNokuJMsq7GaWRkFlFcYQdgRFRIu8TMcu31lKx5FgwGzJcs91eIPeZLFKD364P4ulM6dqtYN2XgttnQm0xn1OXSMaZzEaMQomd6kmzoW5IMADRNy/G9HkiqPtxEbW0V9ZVVBFhGELnkIgLMZn+HNaR5PB5se3Zj27eHsHHjCJmoyHhjP9n5VqaVfkyy7TizG5sJu3oJi6bLpmKn40vGSivtHGhZ6CssOACA8NlzsGtLqdnyMY7SEnR6PeXr3qA4wEDUldcMuA/LrhKFMxGaOrndc/m6TnzH2nah9KTLpe159twcXDYbQSljZIyIEP2gJ8nGcaXU5YBHKRUF3AMMuFF+dbt20njkcOvX1oyN6ENDCRqVSMi48bgdDqIWL2ndp0OcHY/TScnzz2HbvQt0OkbfcC1una71AzNg4kUc3bqZfbFT+cm0OD9HOzikpkSTmhLNxh0FrNuaz26tvF2SFrPySup27KD81VcIiE+gufgETYC7pSvB32MY2uqYKHSnbaIAXT9H25aIxPseaO0GiV6efkorRdtrdjwP4PhTT9JUcJTQqdN6lLAIIc5OT5KNO/HujzIaOIJ3mfLv9mVQvTH6xw8SYqukxu6i8XAeNdu34bLZaDik0aAdBKB6y2aMkVGEqknow8KITr8MY2RU6zU8Hg86Xa/Gvgw7Nds+xbZ7F8HjJxD3rduJOU9RXl5HckMp1xdvpmnOYl6KnMzyhkM0aQflh/cZmJs6knVb89lzqH2yYYyKwmix4DhWhKuqiqCUMQQEGIjq5MN2MGkbO9Dlc0QvT8dls+Gy2VoTA1/Zji0p3b3X1bHuEpbBVqdCDDTd7fo6StO0E5qmlQH/da5uqJT6Gd5VSAOBZ4GtwD8BD97ZLvdomuZWSj0MrMS78dt9mqZldnddndFI+ITxNJbXEZSQQOSixQC46upoLCrEWV1N9ZbNNJeXUbtjOwC1n3+G0RyNy2YjYu486nMOoDMaMV+8jJAJEwmItZyrxx5SHKWlWN9/F11gIAn/8z2MkV9vAuz7gV1ntZNW3UC0vbhdE7Y4vdioEKJMgWQftXIgv5IpY79e2t1y3Q0UP/M07gY7EXPnMfGma1tH5bf9IO7r+u7sg7i3H86dffCHpk5ubbXwXSs0dTIGk6l1YGjb8zq2pHT3nu9anSUzbf8ezAmcEANNdy0b7wIzAZRSD2ia9uTZ3kwptQSYD1yId2GwHwG/Bx7SNO0TpdRzwDeUUoXAYrz7r4wG1gFzenNPQ3g4YVOmAhB54QI8TieOsjLsuQeofHcDjuIT6ENCvIMcW5T+/Xl0AQGEnTedEDWJgOgY0OsJTU1FHzC8V8B0nCyl8P89gqepkZhvXN0u0YCvf1BvbEqiwehkiila+sR7ye32sH770XbJRtjkKQSOSqQp/wiV76zHc+M1wKkfxD35cDyb39w7awUoXvMs7paEx9AyeLMniUjHD35fotG2tcN37umSiK6u2RO+8r4ZLr57dZb4CCHOTHfJRtv+hG8CZ51sAMuBLOBtIAL4MXAH3tYNgAzgUkADPtA0zQMUKaWMSimLprUsQNAJs9m7qGnLPODuxZthusJ19UrcDgeGoCAqv8jEEBKMITQEW94Rije8i233Lu+YhBZhY8Yw8pKLiJx+HqGJiXg8HjxOJ/qAgF5UxeDjqK4m54Xn8TQ1Mu7uO4lb7p0BvT+vnD+vz2b6BAv789ycd/E3ydqYwyULkph1w4DrcRsUls4ezdufHCF1TMwp39MBt9/CoSeform6muyHHkYXGEjiNVcx5oZVnAg0MurqbxDVg/8HB579EHt2FoGBRpIXndm+igEd7nXg2Q9x22wYI8IJCDBg63Ddru5V/VUWJ97e4L3OedM6vf6Jtze0njvl4Ye6jbWr6/VU2zh99zrw6GNd1lOPft6IPiF1P7h0l2y0Xe3rXA1kiAWSgcuBMcA7eGe7+O5VB0TiTUQq25znO95lslFVZe/9Qi+NTZA6HRfgAgJHJJE8fwlOayX12Vl4mppoLCqk7osd5P/17wAEJiTgrKrC3dhIUHIKYVOnYr74UgzhQ+8/gMfjofrjj6jc8DZuu52I+QswzLygta5f/eAg2flWDhVWYWtopiEnh+tK9zEh4GpZeKeX5k4awdufHCE3v5KfPbON9LSkr6fCxqeQ9MhjFD/zNLUHvGtENDe7SLzvAUbc/QOaoUf1blp6CQ6HE9PSS8783yk+pd29fNcKTZ1M3c5MglLGtF7XnptDg7X6lGPWTRk0l5fTfLKUBms1yQ893On1zyTO46+tw56dhcPhJLra3mlrSsdWlrZfm5ZeQoO1mvoTJez6wY8In5N2Suw+srCU/0jd+8fZJHg9GSAK7ROPs1EJHNQ0zQFoSqlG2m/qFg5UA7Utrzse7zc6nY6AmFiiFi9tPRZ92eU05udTt/NL7AdzCbSMQB8fQmNhoXdXzvc3EhgXh9EcTdDoJIKTksFoRGcwEKoU+uCQ/nyEc6K5soLKdzZQu30b+tAwLP/1TaKWXtyuTHpaEk3Nburqm4iOCGTa3s2MtRcTvPtTWNir3q9hb0RUCIkWE/nFta3/+dquu2EwmYi74y4K/vcneDwenLW1XY7V6KoLo6ddDV2d33ZKqT03p3XmR8dZHl0ds2dnoQvx/p9wNzR02lXRk66etmXadrN0Neaiu/U2Eu97AIPJRFPBUQCaK8pxt0yRbbuAmHVTBk1zzqd8517pXhGiB7pLNqYopfJbXo9q81oHeDRNG9uL+30G/EAp9XsgHggDNiullrTsvZIObAEOA/+nlFoNJOJt/fD7tvZBCaMIShhF5IKF7WauuJuaqNn2KXWZX+A4WYqjuBj7gex25wbEWgg7fyY6g4GgpCSC4hPQBQbSmJ9PeNpcdAaDPx6pW40FRzn+h9W46+sJjE9g1A9/3OnaJakp0ez96AvM2Z+RlzSLL6MmExcTQqKM1TgrcyePYN1WG6MsYZ0uiBYQHU3CFSs58faG1pVFO/ugdtlsNBUcpeFwHoFx8VhWXXdGH+in+9BuLDiK22YDTj/zo+OaF75ExWWz9Sgx6IyvTFfP1/a+HROSrv52tTxP+Jy0U+ID74yZE0UFOGvruo1NCOHVXbIx8VzfTNO095RSi4BMvEul3wMcBZ5XSgUCucCbmqa5lFLbgB1tyg0obafI6oOCMC+7BPOySwBw1dfTdKyIpmNF4IHmijKqt3xM9YebOr1W6d//StDoJGKuuoawKVPRGXva4NQ33I2N1O3eSfm/X8bd1ORtzVi8tNu45lYdwGUvJiHPyjvxixj7458QKtvJn5W01JG8tTUfo0HPpOTOF6gbtepqit//D57mZsKmTOt0fYmglDHoTSbcLUlH2w/7tgM7ofMPzY5TToFOE4aOgzbtuTmUr3sDAMuq6wDa3csXY8f1NbpLDDryJQK6kBA8DQ3tnq9tK4ov4eps8GpnA1Tbdun4Yipf9wYum43wOWneZ2rTsiGE6F6PNmIbDAb6RmzN1kpcNhvuxkYaj+bjKCmh6fix1uZaH31ICMFjx6ELCCB04iTC09IwRETirq/H4/FgCA/vs7VAqj/5mJpPt+K0WnHZ6sBgIP6OOwmfnXbac5u2f0zhv14Gt4vS6CR2zb6m/TgDccZyC6ysefcAtfXNjIwOITTIeMpGdhZLOEfe+5DSv/8VnV5PQFw8juPHCEoZA3i7J/QhIYTPSaNup3f2eNvf/H2zPvQmEwl33t1uDEPH7hF7dhahU72DLn2v2yYMHROVtjNK2p7nu1fba/oW22p7XsfjnfGV9T0vfN0a0THhMphMrUmH79rdjd/o6nl88Scvmjtgf94MdQP5Z/1QdjYbsfn3V+hhJCA6xjuFFgid+PVy782VldQfyCIoYRS1X35B/b49rV0w9fv2Uv76vzGao3HW1oDLhS4wkADLCAJHjiTmim9gjI7BEBbWej2XvR5XnY3AkSMB8LhcXXbRNFdV0XgkD0NEJLbdu6je/CEA+tBQoldeQcQF8wmMi+/R81Xv+wrcLuz6IHJGnU92vhVAko2zkJFZRG19MwAnrQ2txzrWacTceRjCwyn5y59xFJ8gaOxYcHtoKjiK3mSi+WQpBpOp/QDMFm2nd/rGJJxJ90h33RxtuyM6ntfZmhgdv+5Ji0HHqbDQPsnp+H5nq5Xas7NaWzx8yUhXz+OrE+umjDOewSPEcCYtGwOMx+3G43Dgbmyk+uOPaCo+QX3WVxgjowhOTqG5oozm8nLcjY2t5wSljEEfEEBjUSGgw+NowrziMuqzvqK5tISgpGSCU8bQVHwCo9mMMTIKe84BmooK2907MCGBUffejzEmtsetJ7kFVjIyi0iylxK251MaZi4idUkaGZlF0rJxlnx1W1vvoOikDUtUMLetmHRKy4bve95+MJfjT/4fxqgoLNfdSM3nn53SxQGndm+0XdeibWtFx3PP5UJeZ+pM7tObsr4kw9cC0tW5ba/dWctGZ61Cshz6uTcUftYPRtKycRZ8P9AHygejTq9HFxyMPjiY2GuuBcBZU40+JLR163aPx0Pdzi+peON1jGYzjUfzwePBGBPj/U3S46EqYyMAASPjaCwsoDH/SPsbGQyEpk4hNDUVl92OITSUyCVLMYSGcSYyMouoyz5AWPUBDifN4rs3XUJQoGFA1OVg59sr5WSVnZ+t+YKR5tBu6zV0Uiqxq66j4s3XKV37D+K+9W1Ms+d0umuq77d33wejrxWiubyc8nVvtOuK6DiDBL7+rb83i2f15kP3TFbzPJOYfGV7GtPprt2xVaix4Ghr95SsSCqGsyGVbOzPK+fVDw6eUeKQkVk04Jv82+7fAt7BqRFp84hImweAu7EBl72BgGhv/M0V5dj27MYYHYNp1mw8DgdNx4owms04rVV4XE6CklMwhPR8Km5XP4zTLU04Tn5KiKuJsc0RBAUOvFk1g91Icyhj4iPIKaii1u4gopuBt+bl6VR//BFOq5WSNc9i2j2H+DvvbtdS1Vn3hm8F0o5TPn3vtT3vbJdE782H7rnYRbY7vUma4NRN5Hw7yYbPScOasbG1y8WX0EHfPYMQA5nhkUce8XcM54Td7njkX/85yP68CmrtDi6Y0rOdRqPCAqm1O0hPS8IS1f7DN7fAyosfaESFBZ7yHnh/0Jx8eS3GyCgCLP7bR0VnDGiXOBhCwwgZN56ghFHodDp0RiMB0TEYQkMJiIkhINZyxquennx5LfbsLJx1tUTMm9963P72q+jKSmgwBLMzZT5BFkundSXOTpPDSdZRK5aoEMbER7QeDwsLwm53tH6t0+kITBhFw+E83A4HjuPHweMheMzY1tlEARYLUYuWELVoSbvvW2NkFE0lxRijzN71ZfR6opent5YJsFiw7fn/7L15eFtXeub5uxf7DoIECe67KFH7vlqSbcmW5EUuL7WkUpXu1GS6k+onU5Pq6Z6eJ512P/10Jl3dVamkOi/8A2kAACAASURBVJVk0qmqVMWV2C4v8iZrs0ztu0SJIgmK+waSIABi34H5AwIEQiRFybIl23j/IQHcc+65Bxfnfuf9vu/9LhLqshLzepAajPd0/0sNRmJez7S+7wSZ2Yx+w6YH+jvLRqCjnZFf/AL3pUuZ+Qj2dBPqsqKoqES3eg2hgX6kxgKKntmLzGxGZjYjNRhxHtj/wNeMzzty7/s8PhtoNAqA/3wvbb8wzIb13CFWtL6PvGwlj6xbkXrP2c3hwRZ2VG2jydQw4+48TVXPhDuxHl8mWnSmXVk0luCoqokStZOemtVccmtxzhDAmMcnx9pFJbz6UTfn2sd5dGX5nMdqFi+h7s/+O1HHJAP/5WWc772Du+Uo+s2PoKytw328ZdYaJbkpn7mYj2jWnXCvLMLDhOwsl3ScSxqziZtlt7vb+jF55PF5xxeG2bj8kx++bB6aQitxs2rvVwB41foW7U4rVwdHqZQ2kXj/9Rl357Mhl/WwOrt51foWBrmeIpXpnnZod2JLHlbk7iwTiSQ/+PUlLtuThJtW8LWXNjE5FZiRIcrjk0OlkHLqmo3BCR/xRIJF1SmDbq4dnkStxrBlK4JUQqinm2BnB76L54lOjONtvYyqpvaud9fZ98G93P9fFEgNRsRwgII9z6BqaMR5YD+qhkYKb7IY2XMTnbRnGCBVQyMxr4dkJJJhRNJr0WzsYR63I89sPBh8EmbjC2NsTCZjL7scI5ie3IM9WsCvDlpZFYvS+HEXE65S/ENuqt0D02jNbMzkEjEbVWxcbMk8PNPGizfiwyDX86bzBJVbn6S0qum28cyGXx200tbrvCtXz2eFu3ELXbTaOXB+CIDSQjXffmoxy2tNeUPjU8Sbx3qIJ5L0jHjoHnFj1MipLjfOueiKcjnqhc0Ydz5B1G4nMjKc+iAaJTxmQ1ZYSMwxicRgmDFFeq574mFzbXyWkJnN1OzZSVRtmNFIyJ6b7M8Ln9mbygbraEdUKCGZRG4u/tIbb3eLvLHxYJB3owBN63Zifup57HYvP3rtCm29Tta5LlHl8KKMjWFOumekNdO4EyVsdXbjj/qp1lWyo2obhwdbaHdaU+c2Ncx7nGnZ6Znkp9N4UHTqfGnxjqNncO57l2p9M/IFC3lqQ/VnNcQvNZ7eWM2bx/uIJ5IZ997WtfObe1Emp+Rf/C6qxkb8V1vxX7tKuK+XkT//H6nPNRrUixYT97gp+sqLKBsaEAThjvdEIhLJZEndCeGREaQGAxKtds7jkrEYwANX0p0vcl2MswWNZmt7ZGugjPzVX2Zk1tMiZnmXSh5fNHw+fs13id3mMJvPfIhRmkRRU4v5iU1cnLjKaml9Rnp46O13aCkqxbUkyCrjOkYVC9hQH80sCIc6LnFgoIUnq7exc9EqDg+2EL/Ry9rrcRI71rFj+TYAdlRty5x3Pmm0c8WIpPGgYkHmipbPvrbRd9+nxjdCaWACvbwb8+qXSBXzzePTxFObaglFErx/ZgCdWjanwToTRLkc46OPY3z0cbznz92SHI/FmDp6BN+FlMLo0H/7r0hNhYhKJYlQCIlej0SjwXP6FCSTSIxGpEYjU4cP4T7egn7jJmJTUwR7epAaDEhNJkgkiPv9iDfTuJPxOMHODiQ6PepFiwh0WZHq9MR9PrSr1yCqVPguXSQZDhN1OhDVanSr1xCbmrrZPoFu1Wo0y1fgeHcfEo0GzbLlBK2dKKprUNXP3+C/38hODU7/za6jktbvSH8+TUjtZsZKrox8dgptOnU2jzw+z/jCGBsd/U7+59ttNJTq0H74AcWeidQHei2et/dREQtxclMtk77DbPygm5IhD9WeIVrrNYx5pgiWiAxZVvDHN3/U186/xxM3hrk24WXnolXsqNrG0OtXqBr3MvHhB2x59D/fxmi8cfkcw9KrBC4v449rdt02vvnoeaRrPWTvhO43ZhvLTIF7Hf1OXm/pYdwZIBiOYx2coky7kL3+CdTxcGaRzKspfjboH/cA4AtGCYRi/NGPW4jF4rfJmN8JurXrMjU+AHQbNxEeGkJmMuE+cRz/1SvE/T4EUSQRDOI9ewbv2TO3dySR4Dl1EgCZxUIiECDY2QGCkDJWwmFIJFKH6vTEA368584iarWER4YR5XKmDh8EQJDLU3L9NbWE+vtwt3w87VRpYyiNyZvCZJAStktGo0iNRiRaLcraepQ1NUTGx1DVNyDR6hBVqk+t4GG2gTGT0Z5dyK3ie9/P/M6UVdUZgbXcINNstdLc32We+cjj84YvjLGx/9wgvt7TiGev06aoYLnBhFQRQR8PYZjwYQASl8e4qHcTbxRZG9Fxo3wVVaowIUWQiMyGI9hOR/86qoNj7D4/iiQYoUAW4L+d/hu8A5U0SBZRJL3McHUcq7ObJlPDtAe3zNKPJDiJTNU/bWxWZzd/3/kubr+e0c6j/J7+mYyhkvvgT1OsyaZ6fh4+zQ6n/K7cNPOdq7mybLIXsv3XIvTbUkp9ogBlnhHWTV3nRvUa1iVGgbxuwGeJPeurcXrC2BwBXm/pYcI1u4z53UBZVY2yKsVOqRc1k7xpICAIxD1uIqOjRMbGQBSJuZzEHA6UtbXo1m1IabgUFSE3FwOQiEYhkUBUKEgmkySjUaLjY8jMZpKxOIlgEGlhSro/GYvhv9pKIhxGu2p1JoXb33aNUF8vujVrU2MRRKaOHMJ78TyqhkY0S5fhv3YVZVU1wZ5uAtfbEOTyTEzKjIYRIDEakReXoKiuwfjY48gKi0AQSEYiiArFPc9frix6bmG3XNdK9me5MvKZY3c/lRFWy8WXKRMujy8GvjDGRrFRxVLPdartPrD08faeBnyCnRUOA4+G4iS9XiZ09cR9Pga1Aj1lC2guauTfb1yB1dnN3517l6n+Cvb7B/nq6BEkwRCiVsvVxQUk+jp55No1FB4l6lgUk22Ct62HkQ358AejJHq6cFx8i+de2MJhk4wdVdumpd0eHmyh0DnAk70hLiiUHB5sAeBt62GGr5fgnzQAqQd/emE51sBdxYTkpvnOhdy4kdxdUnohGxkc5zG9HnXBYgaUFuxTQdZNXac+MEpS0M9YayOPTxeLakz8x99Zw7/9q1P4AlHqyw0kEom7dqncCYIoZv6XGoxIDcZZH2q572druAiCgCCXo6i8Nb7smA1BLke3Zu1tfWqWLEVzs3hbGiXf+h1KvvU7mdfGbY9m/o8H/IgqNclIhJjHjefkcUK9vagXLSYybiPhDxAP+IlOTBC80UWwy4r72MeQSCDI5CQCfvSPbKX4a7+VMqgck8gspfOW7b9TOu/dpPvmsiRp98tM9WTuZOjnGZA8HhZ8YYyNgTEvvfrFKKKXUEbiGEZteAyFnPOZqWKI2lAQy4QTieRxguE4KpOLSMVpDg1MMXH1At9q9XK5sJ61ayrxDmzBYfNQuGsPtikXa68NUmv3M6GVM2DU0LushOhYDTfsN9DVDPFcp51ihw3FQZEdCpGjNb+mrSBMUkwV0dpRtQ3HO20U2UJoZCoKd6UMkMFgL3GTB61/I7vNYYZ//ENMT+6m4nvfZ7WzG9dN4yGNXIMiO66kK3x53sZJbtxI7i7J9ORu+m0eYj4fBcPdbJVK+HHEiFQqUvv8c6ivHM+zGQ8QSrmUx1dX8O6pfhbVmnh+S+2dGz1AzMcQjifiOEIuCpUFOEIugrEghSoTzqALpVSJL+qnWF2EVqbBEXSSJEmbo5OJwCSNxjpqDVVMuvvpcw+wuWw9Rc+9QDQRwxfxYVFOV+BNxmJ4zpxm4p9eSWXhIJAIBvAcP4bnxHEQBEgkkFtK0a5dR9znxbRrD9GJCaRGI/LSsvs+R9lGwUxaJrm6HPM1XvIMSB4PC74wxsa//+YqEpK1dP/Zy0i7+1jT5cO2toykwcGlpTKEdgVntKUEw3FEnYNk9RWGQlESx3rYc8aBKpykwhHnJ0IEaWkfoaolPNI5wUtT12k3riKptzO4VMZJ9ThVqmISXYXoatqJqMboWW9AuGJA5nJT6HZS55HjWqRmTUeIqmeqaDI1YN21h8kPP6Bw1x4SB1p55NhZLGUaTD4nll1ydK0nCLRdY9AzTOG/+S5NpoaMm+ZHh6+we10Vl9v20XjWysX1UzQ9/X0ODLQQlNs4MNDC7617BpgesJqNzIIfqUJz6uq0nU6uDPWAysJHzU9T7BpCHL1Cu1fLC/bDVG1cjfbKRUxP7mZAZWH/a1cempoyXzY8tbGaC9YJ3jvRx5rGIqpKdPe1//T90lTQgNXVPS/GbDakM7fC8TD+WAB32EOHswt7YBKJKEEtVROJhxnyjSIgkCRVHFIhkROO30pvlEvkFCgMjAfs0/pvGT457fWxkdNUasuwuroJxyOsLF6KUqJEIZFTo6+kuXAh+s1b0K1bjyCVIogi1tHr9L77KnVOARUyJHo9/qutON/dB4D76EepzkWRkt/5l2hXribmF0kmk/NmP+bCTEYFpGI9ZCUWIuNjJPuDBLtvpDQ+VKpMEb25kJdIz+NhwRdGZyMYiLxcUqQBlQGPY4yelaWsangMr0OLvWiC9lopUouGndJCVvUdwqeN4VYo2X4qQrE/SEAq5ehKNb4aG6h8CLIIj3cMoh7uRq2S0162giW9fShMJkb9RYzLrlIglFFcKKVP6sUhj1BmCxJW6DjXXMDqTj/VY0GUDh++Sxc5oxjn/fogXq2MyjePo4yGKXKHMQR9ON09SB/dgsM+TEtDki5hkiv2NgxyPR8ct9PW6+RSl5317a1UTbgpTeoo2rwNVc8EjS2dUCCjtm4pu2t3UKSa+cGf1ghp+MiK7MbANE2Abr+EsZNnUNr66e4a5oOAmX6bl4TRxIlkOTsC7VR6hpFOjBAZHibm9bDPUzhNLySf9/7ZQiIRMRuVnGkfJxxNoFZI7qtYXPp+GfKNMuq34Y34WGdZNa+2kXiEUDxMIBbA6uphyDuCP+pnIjjJ5YmrtDut2IOTCIJAOBZmIjiJO+Kl0ViHXq6jTGPBHw0QjkdoNNZRZ6hmoakRe8CBPxqgQldGPJFgTckK1ltWMx6wU64tZXHhQmr0lXRN9TAWmCCWjANg848z5Buh3zPIFXsbhwY/5tz4ZULJCNFknJbhkxwZPcUVgxfvsnp2vvQ99OvWo129BmVNbYrJSMRRNy8hMmbDd/ECrv3vM/LGW7iPtxB3u1FUVX2imI+0xka22Fda/hwBkoEASCQQjZLw+4hPTWV+w19GLZT8evNgkNfZAH548aeMBcaJxKMUPGKkVtHA8RtdPL10A+5oMe/1H8BPgKq+k6jGvOgTWuREiYSTRMzlnFqmZrTEjQAkYxIEaZRDhhK2erww6aJk8giKsIPaiWKKNf2cXyzBa1YwMh4jpg6xtjNEqTuEraCYYE8TGn8rLr0WYziG0H+N8vFSqp6tY0fVNhJbjYRaDjFQUoYqOUq/KULNvndIVi1i7fUOumVTuKK9ON5pY/cjX6ffJsMXjHJMsZTHCxU0L1vD8I9/SJXPR3jMT0IY5nBjy5w7zx1V2/BH/XQu87JZdSs2pKPfyTuvHGK9z8eYqoijigUkk0nKitTYHAEkooDu8SdQd56dVjZ7tyolSHa/YwXymD+W1BVSWaLjXMc4k+4gN4bdwP0pKJhmyLKZjVxcs7fzXt9BNljWUKa1cMV+ja6pXsb84zP2qZaqWF28nF73ADurt7PWshKrs5uDA0dZb1nNWsvKDEsQioXxR/0UZhnPzzc8DcBPW39Gf3SIqbCbqbAbR8hJidrM15tSysEvNj7LjaleXuvax3hggnpDLb+96EUCsSAXx1vpmepn0DvM+32Hpo1PQKDH3cebN95jR/U2NBYLhrLp0vCmXbtxHT5EzOVELpfi7rTiOrAfz6kTqBcvQdO8hGQygaqu/q7cLTNVn83+LF34znv+HIlgEFGlmqbbkXeV5PGwQ0gmkw96DPcF/3TxveS58YuQFJgITBJNpOIlSIooY4UERSeCJE6lLcbOfhnamIgwZANAvWQp/m/v5eSxV1l4Zph4PMmJlUpClZU8enCAMpsHu0mNN6pBGUlQFnYQkog4FTqOlS1kdIGX2lEZa8f76K9ZQ037DSrcQ/SoyxhbuIHGgYscUSxAt2Qxf/TVFZkx/9WVv6fdaWXvUTc1tjABiQx1PMpIoYW41E/VuBf1kqX0LWogfOwwneWreHxRM7z5cyTBEJECI7JImK4VFhbs/WbG2EgvWN7lW9hvV7B0aYKu8GUm/R4mwjZWuQrZ0REiFI7xtnIJyycvUOe14ywr54RqOUvHWjljaGbYIqdG2saWvghrv/2tORcys1mH3e799L7gPGZEl83Ln/3DeWosOjQqKXvWV8/L2LibgOJcJJNJetz9/HXrzwjFw9M+k4pS6g01KCUKpKKUQpWJZUXNhGJhzOpCXrW+TbvTSrOpiR1V2/j/rv2SUDxEsaqIIlXhbeOZyZ0DZMae/n8md89sbf/++iv4o34UEgXheBiFRMHmsnVcd1gJxAJ4I6lqtwICJWozj1U+QpW+ggHPEBqZhpXFqcBVs1nH+KiDqY+O4Hj7TZLR6LS50G/cjMRgQLtyFcq6+vvibpkJX8Yg0Px682BgNusA7ulG/sIYG3a7N5m+AUOxEIc6L3Fy8CpeZW/qgIQESCKTSIgmo1SMRXjiegKpKOXGphqcFUY2f9CN7MYgAKPlGg4/UYZmwM46a5hzTQpUC5rZ6V5K/PV/QBkLATBirOTKuhfokh1ENEwSnyqi9Eo566auc864mAF1KQB6jYxiowpx4iJrnG10VayiYuMS2vznMY1OUnd1mH6DkdphOb21qxlzBNjov8LVpTrW9NkpG/ESVIgoi0sQhmwEFAIejRSLM4qippZQOIbTG2bQ3MCy0StIwgEc2mKmElKuLJcxXBtEHjUR9It847yLUnvK0OpRl3FluYzV/TYuVJWy8lqU+sAoQ/pKzjxfytoDV6ixRUg21bNvuwEQ2Fu/+7YHwrGxE2y1bLnvabp5zIx0yvTXdjbxzwetXO9z8gfPLWHNwuJ5tU8butW6CjQyzaxGRyKZ4NJ4K2OBCfzRAEPeEZwhF+5IaqHXy3XUG2pQSBSsL11Njb4SueSWomiuUZNtABwc/Bh/1A+AiEiCBM2mJr674juZtmnDQCJIiCfjmc9z+01fT3b73GttNqXKCrQ7rWhkGp6o2p4ZQ7pdJB7l1Og52hwdRBNR+j1DxBKxaf09VvkIG0vXsqS6jslJH6IgkgiFiNrteC9dQKJS4z7RQmR0NNNGbilFUV2Dbu06NMtX3BfD48toZKSRNzYeDD6JsfGFcaNkQylV8sySTTyzZBPjATsGuR6lNOVPjcajdE318ob6HX5mSQeaDYN9GEdlhM2O1JScbpLhCrtxWeR4q4qQS+SYFWremQoSKX6EXb5WLCYN6194CYvKgvv8EgRJLxsWbsK4sJyhiQ04eq8iN15AsNfjcRXg8Uf5mvsqVXY/8cQFXvNUk0wuRGN207pKidrThHFVM/V6JdeO9/HmihEkxkliMgW7J/2owgnGfVNECko4vzxOUoyxrVtAFwqgGBunEFAF3EgSYUKCDF1wisJ4hNJzMvZTRuWiR5hwayh+Iozz3TcIheNcMC1BW1rCW6ZLREdrkFmSaN0yynbt4cXmQi5OBanuCHBxkZoBb0rD4PDgdJdNOgAwEonftbHxSXbYX2aktVLkLT1sbC6hvc/JLw9YaaoyolOnHvazPeh3VG3L7PL90cC0LKYBzxAnRs6ilCoQELg22c5EcDJzXokgQSfXst6ymjKNhU7nDWr0VVhd3Qx6hjk08PE0JiFX1j/9HaeNCKVECUAoHkIpUeKPBjIaNocHW6YZGtmf39ZvQQO97gEcQWemfXoOsssMpJGek0pd+TSWRC6Rsb1yM6WaEg4PtvCthV/FHnTgCrso1Vh4v+8gHw0d5+jQCRSX5CSTSR6tfISna59AUVmJorISAMO27QQ6OwDwnDyOv+0akTEb3rOnkZdXoF2+AnlZGRKtDvXiJfdkfOS6TwId7RmBMPMLL2WOyXZ/ftmMkjweHnxhAkQDgcjLMwUNaWUapOItm0oiSihWF7GxdC2LCxeypmQFW8s3stayClNZLYpNG7Au0NFQt5JVxcsQEBjx2/BH/YwFxvGqeoiXJxhYruFYZYCRwQ6k732ATeEkrLDwot6C4tBbLF9RR4euHa90hPr4CN+YHGHJ4nqsUjWSxASDpVI2j3Wj0JsZ8BqReirxuWX0evroTBwnEpRRY0/yWEc/o8USbpQUog4lOFGwlOPq9cTUJWgWiHRV6eglgskfwKeQcbXaQCKsJi4qMES8JAQBeSKO0i2na0zDrslzOI1l/IO8gOtLo+jcSZZfvoJ7qh5FQTUbnyymfVGQeokSzXvHWLl2N6V7X0ReVMyYfxyjwsCe2h04gs5MBdw6Qw1hgjxavnXWANXZkF3cbr4BiPeK3Kq9D/N57tSHUSNnLDqIUNnGjf4QLoeESCzB6KSf9c0lCIJw29xmv95du4O1JSuZCNix+cfxRLycG7vMhwNHGPKN0OcZpM8zQDQRZWXxMl5sfJbtlZt5vuEZnqjeznLzEvb3H6HD1ZUJIk3/vTHVy0TQjjfiY0fVNrwRH00FDezvP4JBrufwYAujfhsamYbfW/ItVpcsxxvxIZfIGfAOZcZrkOvxRnxsLluHKIjTPk/3u6NqG0UqE/v7j2ALjOO/6QZJ30uvWt+i292HUaHH6rqB1dXNntodGWOkSGVinWXVbXOcnqtIPMJvLXoBuSjn7NhFnqx6jAKlkRHfGCqZEqkg5bqjk5aRU/R5BilWF2FQ6BGkUuQWC3KLBd3a9Zj2PI125SriPh/B7hsEu6z4Ll3Ee+Y0wc4ORJUSiVqDIJfP2/DILdw2/sovCXVZM8GjwZ7ulOT54EAmsPuLUk02HyD6YJAPEL0HyCVy6o01095bUFAPwPrS1Zn3tlZswhPx0um8gYjAkaFjDHpHiMWkFKuKqL/SRdV4iIQYZl9DkAuvnaTGFuF6wI7p2SUMBUWWXneitk1gUJ1m8/f/b/7d8QF2HByhxhlhge4auxRq/BuW8YHQhzPgxS9OopBJWHnIQU0gTDIu5fWK5dwwFCLqHMhLL+C11RIaDVMVHGHVjQgnGssZKpEjat1cXialYlhk1TUzg+UCNe4pBg0Cu7qOokiE8U36kD1WAPpJtgdHsATcLKgwUv+/fzNDOa880YYw6AJSu6YmUwP/zvSHmXlJHwfw3RXfYUvTynuiNdM7ytlSdtO4HwzIvRbPux/nudvx32msi2pMFEyN0O7spsqSYHFkPb5AjLaJLv7k6DEU7kbWL1wJplSQ519c+ltq9FVMhd34on6u2Ntod1g5OXo206c/FqDRWMejlVtom+xAFCW80PAMconstvPD7UGk2a6RbNdMtptjwDvME1XbM+3T15ZmXvb1fDCN3Uh/vqN6221zmD0v6QBoEKaJ6jUVpI7xRwMMeIcyc3unuJDc+zL7+wCIJCI0Gxv4esOLvNL5OqO+MVrtbVy1X0clVbKxdC0VujKCsRBrS1aglqlRVlVT9vv/hkQkgufUiZS0+40u/NeuErzRBYDMXIzUZEJZVY3h0ccRFQqkBsOM859bkyWdwp4IBonaU6ytoqYW3dp1syqR5pHHZ4UvPLNxP6CQKCjXllKmLWVL+QZ2VG1jT+0OtlVswmKpI+pxU/XMi9gUYVzyGNJAmBONIl2iA5JJfEoRdTjBFYMP//4DRDVK+goSqEMJgkEv6uEx7JP9nC73I8SURLwaSpNL2fvYRqJuN66Fj/Polg2sWWjGobuAXzbKsoSfTacd1NoCVDqDKFwaYlSy7Xovfg2MVAh0lBuwF6sYaTSz5kqQoqCboETBkaK1qM1VmItjeJRJFMEEp0st7A+cIhD3U6QqZGXDRjRhZi13nd51pnes3qiXfV0H8IS9mR1serc41y59tp1lbrv0Yt/m6KRKV3FPjEF6zOnd8EznSb8/EbAz4Bnh59df4eToOYpUhfO6ntnOk80qGOT6ae2z+0szRk0FDYiCOK0Pq7Obn7X9Y2Y8aUbpyZrtPLN2MYtrTRx3HCSktOEOeXBMxdhY38DR4RMM+0bpcffjjfpwRzxcmmhlyDtCpbaM5+r3YA86MMj1PFu/i8VFC1lmXszSokVIxNtriaTHW2eoYXftDuqMNRjkes6PX2a9ZRWiILLesorz45cz12iQ62lzdOKP+hEFke+u+M6M98IVexvd7lRGSzr9O31cup/Dgy23zX2RysTm8vVsLl9PkcqUme9b5yqcxsxlt81N8221X2fYN8qe2h2Zz7O/jzpDDd6IjxVlzXzYc5THK7fyYuOz1BlrcIWmCMZCdLpu0Gpv47qjk9O282jlWsq1lpSiqkSCsqYWVeMC9Bs2ol2zDlEqRaLXEx4aJDoxQai3h6kjh3Ad/JBEKIS8uASJRnPbd5EuXx+2jRIeGqTomb1EbKOE+3pJ+H0oKiop+e1vIzUYcR7YP2N67OcReWbjweBzx2w0NTUVAxeBnUAM+AWQBNqA71qt1kRTU9N/Ap66+fn3rFbruVm6+8yhyAqAy1by+0NWw0rwPutjYdhDxNpF+OBJzpoW4XxRS/O+/RQNuQjGQpx+qoGuZhOhzk6WXfdwcUHqq9CoQRE3ENK18vdRK1/ZvooFxy9gbC6iRTXKirIGDG45Oy7aEDx2XPpi4rXVLH78SZaeOUpgLIxKpuDDsmL88ihRuYtKUxMbf/cpnAf2E1++BZ1dwe41VXw0ZeNawTDXtqlIRscQIqlo+mZTE00rdsK6ncD0XTncygT47orvZHasQ75hvBE/A97hTNBfeveYuyuca4efK/Oebrejalum7/TONL0TDsbCqKTKTOBqPBEnmogiEaWM+mxEEzHC8TDJZJISjZk+zyCheJiPh04gCiKusJvxwAQjPhsN+d0p8wAAIABJREFUxlqC8RDtDityUUbkZlbTz6//mq8vfJ6pkJuDAx/hjnhxhz38P+v/TxxBJ73uAc6NXZpx150bN5DLWqRf+6N+JkOuzPxlB0qm4hcC0+JmvtLwFMsszQx6h9nffxiicqSyJLG4iMTowIGDV7suA6lYiwZjLY6gk8mQE6PCwDrLKnZWbUctU3Fh/ArtTuttu/7sa9jX8wHp2LAB7xAD3mG+s/ib064hPe5s5is9H99Z/M1p99FMmC2WJPvemQ87lctM5DJzMx2bzcwMeIcyZQWyrysbP29/BW/k1r2+yLSARaYFROIRWu3XCcZC+KMBDg58xD92vEbL8EmWFy1ha8VGNDJ1ph9FWRnmr30DSKmbJhMJfJcu4D5+jKC1E9fBD3Ed/BDtqtUU7HwSZUNjxtWSLf6VLXEe9/ky/wc62hn925+SuPlePm4jjweBzzwbpampSQa8BiwGngV+APzIarV+3NTU9DfAAWAA+B/A40Al8IbVar29gEIWsrNRHhYM//iHBNquoV6ylIrvfT8VwLX/PfRPPEHBklQK7KB3mMsT1yhSmrg0cRWrq5skyYyS4t6jU9TYIvSXytn3aEp2eXnRYugaZsGlKWTbt7Nux5O4QlNEu26QOHqSwl17UC9qnpG6zzUc9vV8gDsUwB+MolHJMCg107JNsjMCsqP506mL6QfQ1rq1XBy6PmcKYvaDdqasAZieOZDuP21MrCpelulbJ9fy160/wxmeyrQVEWkw1tLvGSSSiE5To7xbFCoLcIam7ti+ubCJG64eojczFvRyHZvL1lGmLaVUU0Kxqoiftv6MTtcNStUlbCpbi0lp4uDAR6QzewAO9H+EPxpg2D+KWqrmdxZ9jbHgBBZ1Me/0fMiI34ZSosikmhYojLiyrj0byYQIQhKtqEetlGEPTtJU0Mgfrvy9WQ1HYEbDLfd7AajWVWSMotmyQ7KNk9y+5oPZ3E53ckd9Undb7rjh9jnKNrg0Mk3G4Jqtv/19h0mSShdOkkQURNRSNY9VPsI6y0oKbsqpzzT2iH2CqSOHCfV2E+pNZdbJiktQNS5AajBQ8ESqunSorxfXkUMzBoGm1yFRq80Ud7uboNGHMevlYVvrvyz4XKW+NjU1/QXwAfAfgH8NHAEqrFZrsqmpaS/wBGAF1Far9c9utrkMPGG1Wu2zdPtQGhv38iONxqNMBCdRS1WM+GyMXDmN/nQblxapKViykgHPEMO+0WltREEkkUxV6dTKNDxW+Qi+qJ9YIkaZtpTC4SnElrOMrq3jvNbFoHd42sN+prTB6bvpW4sqMKPh8PLO72XmPnvBzjYQcjMi0n1l+/wvTbRmHnhPVD/Kh/2pgEVIPchXFy9nxGeja6pn1jlUShREEzHiyThamQaFRE61rhK5VM4Gy2ocIRcf9n+EPTiJUqJkW8Umuqf66HH3UaouQSVVsbvmceqMNXgiXsLxCEkSXJ5I7RwrdeX0TvVzynaOcDyCUqJAJVXN+vAHphk+clFGkiTRRAyJIEEv1+KLBm5pw+Qcn4tsGe8KfSlTQQ++qJ8luhWMWcuZMp4jprYTnyqkQb4KVcXgjA/f3O8926BIp4bmfi/ANMNvLjnzudJR58InMRjS57yTETCfc8N0Fi7X4CrQ6Nlq2XLbcTONp9nUxO8u+S1OjZ7ng75DGaNRIkhYYV7CI+UbODjw8azzlUwkCFo7cZ84ju/Shds0PUSVioInd2Pa8/S0InowfR1KZ7CIWi0Jny+zEZoLuZumhwEP21r/ZcHnJvW1qanpXwB2q9V6oKmp6T/cfFuwWq3pVdULGAA94Mhqmn5/VmOjoCBFS96cjIcD5vVUb11/183KSPmTF1AJi9bBN1IUEMBUyMPrbe+hTZRyrLODyjI5rtgYVcZyBATOjlzhnd4Pp/WXZkdi3hEGHzWikiopNRZxyHaEGmMltUXlxIQIK8sX0R/pRSHKMhRxfUE1KyzNPLtwJ0tKFgKwpWklAEajinc6JTy7MOVuSc/937WfyND9zrATb8SPXC5h84IVmM0rkaoTHOpuwRcN0Ocaos/TTzAWpt8zQCAWQi6RMRGM8vP2V4gl4pnr8ES8HB0+AUCVoYyvLnmGRDKllWKd7KbD3k1tQSWDU6N0THajk2so1hbR4xyg0ljKH239/UxftSWl/Pmp/4U34mc8PMY3Vz7LO52H8Eb89Dj7OTlxmm2L1gBFmTar6xZlzepmvhV5jj7XEJWGMvRyLa3j7bze9j7dzn7KdMXUFVTjCrlJJpNM+B1sr92IUirn474zOINTGYPIHfFQqDZh0ZqRilK6HX14I35kopRoIkaJpohYIo4j6EIrU/NHm3+PeCLO+10fsbRkIZdtbWypWstj9Vv4TyOnGRmowVgvRZdYSHubhO8vfxGdqOB/vt3G89sbWN6Y8tm/uGxX5vszm3W8uGwXr7SGGPWNp9xVQx/jjfgzLrIVlpTBfGWsnQKNjpd3fo8/bfkJ7U4rcrkkc1+kkdv/fPF37Sdm7fNOeHHZLv78VGq8x8ZO3HX77HMD08aRnh8E+Oay51hSspC28c7MfTTkG+a5RU9ybbwz83vJnoOqkmKqSp9icXkd/9j6FhWGUrocfVycaOWS/SorSpqpMpSxqrIZQ4ECufSWu7ZtvJN3kud49jtPs+57f0BkchLnuQu4r7UhyGT4bnTjePtNQtdaqfzaSxSuzyKCs9Yhg1HNiFyKYflS3K3XMCxfysRP/4Lyr+zFuGx6ld00ZF97gRG5lPKv7AVbPyNv7Zvz+M8KD9Van8cd8ZkyG01NTcdIxWYkgRVAF7DKarVKb36+l1QcRxegtFqtP7j5/mVgp9VqnZyxYx5OZuNBYCrspmeqH51cgyhIcIZceK5fo/BsJ8L2TRyWDzLkHSaWjFMxFmH1TQ2NYcuthU0qSDJ1JfRyHcuKmvFF/ZiUBUjFVKqfRqrGHwtQqDSxtWIjojJB73hK8Amg1d6GQqKgWl/BkHcUSOKPBdHLdYwHJuZ1LVJBwtaKTYiCiEGhZ0nhIn7Z/ip9noEZxajmUpu8k3tnLup/rt1uLu5mDBfGrnB06ATP1D2JIAgzMj6XJlqZiSFK4+/af8GVsfbMbjgt9lVc4eeC8wz+gSoSvkIKy3141J1UCMv446+kqPf0sbnF9HKvYTb1zlym6n5l+NwPV8i9tr+b79ps1vHyoR/T7rRmtEByxcfuNJ5kMsmNqV5+cf2fcEc8mfeLVUU8Vbsz4477aevP5mSJ4j4f47/6Bb5LFyGZRFpURNztRlnfgPnFr6Ksub0ycHYsh6KmdlpV2dnwsLAc+bX+weBz5UZJo6mp6WNSbpT/DvwwK2bjKNBNKpZjJ1ABvGu1WpfP1V/e2Jg/Lo1f5e2eD9h7dApd3xjB+nKu7l1OgdKIM+Si1X6deDKORqYmEA1kgiTTSC+o2e6bO0FAQCpKEAUJRUoTE0E7AiKFqgIWFDQQjoVpd1pZb1lNha6MRmM9Wpn6tmyIXPfOndxB6TbZcSezUfq58SK5SpczxazMhz5Pt9HINLOOYbax38kVMZ4Y4TdXP7zNkPm3H/45QbmN+FQRiZ61iPXnkRgnkQVK+FdL/iWLakz86LUrtPU6WVJnmiaj/3nBgxaEM5t1nLBevu0+yXXhzHRf5Y45nogz7Bu96Sa1cWr0XMaNts6yikZjPZcnrt7xWsOjI9hf+2fCAwOIajXR8TEQBCQaLeqlS9Gv3wiCgOvQAeI+H+H+PkStFlmROfN/2b/6g4zBkesKfljiN/Jr/YPB58aNMgu+D/xdU1OTHOgAfmO1WuNNTU3HgdOACHz3QQ7w84i5FuLTtvM4Qk6sy0vYqjFT8eRuls+ycPijAVyhKXRyHb3ufkRB4NjwaTpdN1hgrGd37Q4+Hj6JLWBjzGenWlfJOssqqvQV/LrjN9gC41TrKpCJMrrdfWhkCl5ofCYT71GgMPLVBXv5qyt/jyfipcvVzYjPhk6mnXFRTWc25O5A4ZbWQrZOA5BRotTINDQVpHzvM81LdgZDenzpDJh020sTrVTrKmkqaMgYMOlxzdZXZuwzFDXL1YPIzdS4kw7JkpKFlKwovy3748nqbXzQ+zGaSBO7nmxiX6sXL52EbVW8Ev+QyNANVixYB5R+bovpZWfxaAZnl1z/NJGdeZRWI20qaEgF21pvBTbD9Psq3TYNiSihWl9JKBbm2mQHv73wJVxhN2fHLnJu7BLnxi6xtmQl5drSOcejKCufxjgEOtpxvP8u0fFxvKdP4T19KlU9Nh5HZilFUVObURtNsxxp1VG4XaU0O/sujzzuBg/M2LBarduzXt62klqt1peBlz+j4XzhMFeKYPrBtXrFNiqenntx1sjUmTS9dAEqpUSZ0RxoMNbSYKzN7LCzF/yXFuydZhCkH87Z7+X+nS3lMRe56aXp9zSDmttSOGcyImbqf8Y+c6S3B24G11pd3Rm57cmgkx+c/8k010u2oZNOE4aUOFU2clNG53Od2YaW2bwyc23ZhtbORavYuWgVHf1OXm/pQZe0IJ8sxuYN4FQeQYhGuTh1hv9t3f/B6y09CC09vLit/r5UjP2scLf3zL1ivgxKtoBZOmYJUr+hbKYse+zp/mdKK36iajv+aABI/ebOj1+mw9nFC43PsPKmASMT517C08ZBMplk8E//C+G+XoinXKTRsVR9JNv/+lsQBHRr1hK22aaJf6X/T6fQ5rIaDwvTkcfDj7yo1xcUswlYwdxCWvPBTO1ri8tZrF98m9BS+rgilYkqXUVmTE2mhml93Dq2cNZxpzGXqFa22NhvbrzDydFzLDQ1svumkFPuvMzWV3o8dcYa1llW4Qg6uTbZnhGFSgs7ySVyRv023BHPbZLrabGouYTI5vqeZkO2QNj2+g0EApFpgljZ4/jVQStdQ26mfBHKitRYTGoc7jCC2k18rI6RATm9o16mfBE8gQgbF1vmPHdHv5NfHbRi1MgxG1XzGu+nhbu5Zz4JZpPUn229Mcj1jPnHUUgUFKkK2VO7I2NU5gqapV189qADd8SDUaEnlozjj/oZ8o0SiAUybhm5RE6Pu58r9jYO9H/ER0PHcYWnkIlSChRGREG8bSxpCIKA3GzOSJaLcjmKykriPi9xj4dkKES4v5+4e4pkPIYglSEvsSAzm9Fv2ITMbGb0b39KqMtK2DaKcet24Jao2GcthZ5f6x8MPneiXnl8+phpR/xp4047wPmMKdtNMpu7Yz7sRPbuMpvlyB3DfEWislmNmSS20zLZ2ZhNiCxXcvtuv6fZXCszvb97XRW+YBQB2Ls5FST4l2+4CdlqAOjGg0QioFPJeGxFOW5/BIMmFSw8UwBpugAc8NCwIJ/2vT5fSf3s8exlz4y/hVxGI7sgXYnaPE3bw6QwcnmyjSeqtrOocAEfDR0nSRKjXI9BacAd9nBi5AwnRs5Qoi7m281fJRQNc2To2Iy/m5lcIIlwGP/VKzjefQd5iYVQfx/eM6fxnjmNoFAgt5SiXb4CzdJlxP0pUbDsOL9s5iOPPOZCntnI475Ao1Hws8uv3reianMVaJsPG5DeXc4kT53NZqQZilxZ8Fy2Y7ZzZstkZxenm4nNyZbR/iRzlM0YZd/zMzFOZqOKbSvK2baiHLNRxa8OWrE5AmiUUrYuL6XEpMbuCuILxjjbMcHRy8MsqinApFPyq4NW2nqd0xgPo0aOJxBh97qqaczGw8R4zAd3UyxvNiZwrvUm93ueSWr9Vetb0wrS7W3Ynblv1llWcWzkNKN+G6IgTitM95WGp9lbv5syjYXxgJ0yrYV+zyCnRs9x2X6V8YAdT9jLutI731+CVIqivALjo4+jW7ce446dSPV6/O3XIRol7p5K6XscbyERSLl0EsEAEo0mVWiutAz9hk1EJ+2Mv/LLz0wOPb/WPxjkmY08Hgrc7Q7wXvuaL0Mymzx1bpzEfJiT+ZxzPu3u5xzdC9LBoNlsRSgS4ydvXKNjwEUkmuBPf3kRtVKK2aiirEhNrUXHj167kmkzE6PxMDIec+HTLso30/ece87sY2aKy8mWuE+3SbNjPzj/l4wHJgnFQ6lMpeXf4dDAx9yYSqmMdri6+K9nf8RXF+yl8WaByfkgaO1kct9bqbgOUYREAnlFBXGfn/iUC2mBiXjAz8Q//pKJf/412hUrkWi0hEdHCN3oItjXS/m//m4+fiOP25BnNvK4L9BoFKiS2k8UC5KNTxpXMhfuxIzcSxzFfNvd7+u623vebFSxcbFlGvsglYhsXGKhe8SNfSoEQDSWYMoXwRuI0j3sYdwVZGTSx4IKIyqFFFG8lf3W0e/kSvckBToFezfXzsp4TE4FHxr2416/42zMNfczfc+555zrXnjV+hbd7j7KtaXUGWqmsTDpz2LJGBqZhhcbn2FR4QIujrdiD06ik2kp01oY8du4Yr+OiMh7vQdT7dWFc17T+Cu/JDI8jKjVUvjscyCKFO19Ht2q1cS8HswvfY3I+DgxhwMSCSKjo4QH+ok5b2owRqN4zp4m5nHjOnIImfHTYTrya/2DwSdhNh6Yzsb9Rl5n48EiP/cPBvc677nxGOmslVA4RiKRRC6TsGN1BYFwnLdP9BKJ3tJTkUlFVjQUMXHTANEopbj9UbQqGbs3VLG4xoQgCPiDUfad7MM6OIVWJaPIoKB/zJfR9ZhNVOzzgk/znp+tntBM9YJmE357u/sDDg1+nOlTRGRvw24erdgyYzVfmF92SW5hN6nZjKywCOJxgj3dkJiuvSNqNGiXr0i5XDY/glSv/8Tzk19vHgw+l6Je9xt5Y+PBIj/3Dwb3Ou+5gl5zCXwFwzG6R9x0D7uZ8oXpGppi3BWc97lEARI3lxmVQsLXH2vA44+y/+wggXCMxbUFfP9rKzPnCkXiKOUSVIqH28v7Se75uxEkm6uQYba+Sm5RvLTwnVaWKk0fiUeJJCLo5Tqerd+NQEob5E7aHTMh0NGO/Y3XATC/8NK0VFj7m78hGYkQGRm+vaFEgqZ5MeolSyEeR2IwoqqrR1pQgCCd//edX28eDD7vol555JHHZ4zs2I2Z/qaRzT58ZWsdAIlkkj975SLdwx4EQK+R8cK2epbWF3Gtx8FF6wSDEz4WVhrxhWJ0DDhJxFPWRjAc5+f7rdPOMe4M8vLPzzEy6Sd+8zhBgPoyPQqZBJlUgigKLKkzsayukEMXhlDKpWxfUYY/FMOoVaBW3v1SNhOzcjdsS+sNO/98sPOemJm7iRmZKV4oO94jJSx3Kxsq3Xe1roJqXQVp+f0P+4/QNdWDJ+LlHztey/S1sXQty4qaMSoNVGrLM+Xr54J6UTOhP/hmyggqkdOU9b75+RdxHtiPftNmPOfOkggEMGzeQsztxn30CP5rV/FfuzqtP0EmQ7/lEdQLm1FUVCItKCAZiSBqNPMaTx4PP/LGRh55fAmRG+iZ+zr90PUHo/TZvPiCUWjpQQBe3FbPV7bU8df7ruMLRnH7o5zrnKBQr+Rc5zj+YBSXN4w3FOWPvrqCWDzB5S47La2jFOqVCAKEI3Ha+p3oVHLGnAFwp86rUkiIxhLE4km6RzzTxnypa3odxndO9pFMglQisLLRTDKZxFKoYXjCR0WxhqV1hUhEEYkooFPLUMqliOJNzQmpOGNQ690Eur75cfc9B8Xea6BwruGRDoROsxnpPtMGCKREwg4PtrCr5nGkg1Jq9VVMBB0MeocZD0xw2nae07bzAFRqy/h289cp086ttwK3jJqC4Sk03WRcL9mqozX/8eWMa0a1cBGKunqMj2wlEY0i1RuYfPsNomNjkEziPvoR7qMfgSgiKhQkgkHkZWUYtm4n7vMhNRrRrV6LRHerAFteVOzzg7wbJY/7gvzcPxh8WvOedqvUlOrQqmQZowOYFnPxepYBkn5Q15SmHgahcAyVQjpNmTSXOUifp8qiRa+WZ86jUUr56qMNrGgsIhZPEo3F+fDsICfbxqgwawiEYoy7goiigFohTRlDdwGVQsqCCgM9ox6W1prQqGWsXVhMLJbgn47cIBiO8Y3HG1laX4TbF6ZohoDW0anQPTMb9xu5NXTSr1PMBpkYj2wdj6aCBs6NXSQYC1OmtdDr7icQCyIgsKxoMTurt1NrmF3KPuPeOTSKYO3JFGfLNQDSxdvSMunZRdzSxxbseAJEkfDgAO6Pj5IIh1BUVRPo7MgongIgCIhKJYpCE6KpiKjLRWRoENXiJZR/9w8R5fJZRpvH/cAncaPks1HyuC/Iz/2Dwac172k9jb2ba3l2cy3FRhWjDv+0jJNcDY/sNoMTvhmVSXO1O9Jtnss6jycQYfMSC609DkqMKipLdGhUMo5cGmbMEaCiWMuL2+pp7Z4kEk0gk4pEYwnkUpECnYJv7mxkfbMFk05BY4WRGouO4gIVRQYVxQWpcQfDMfrHvERiCYbtfnpHPZy8asPhCdE35iUQjnOxy87JazbeOdnP1Z5JrtyY5PT1MY5eHiaZSFJeomfbMgsOd+hTzbKZj4ZJbqZL+vWe2p0M+0bp9w5mVG573QMZNVOlVMmgbxh/LEggFsj0Nx6Y4MzYBTqcXcQSMUo1Fk7csPLGR4MUaJSYjapMNo3alFImNT25G5nZPE11FEBqMOK+egkhHCGplCORK5Gbi6cdKy8uQW4uRtXQiLy0jMjkJIW79lD0/EtICwtRVtcQ83qQGo2IKjVxj5vw0BBxT4oSi9kncB38kMj4GJ7jLcRcTqSmQgSZDO+5s0QnJ5BZSvMumU+IfDYKeWbjQSM/9w8GD+u857Ie2cxG9vvAjDES2cwKpLZSaxcW0z7gmpZBs//cIM3VBXxwZjDDbqTZmNxYjHS2jUohZe/mWgYmfMTjCc60j1NVrKWtz0koEkenkiGXiXgDUSKxuasaK+US4okk0ViCGouO336iiWG7D7lUZNUCM3LZzFkfd4NPWp03W+U2m9lIu3DS2S1pxBIxREEgmojhiXhJkkRAIEmSZBK04Sr+312/j0SUTOs7NxsmG79+74cUnbWijkCxI4KgVJIwF3BxdRGrN+2ddvxMZexz3zObdYxcu4H7xDHCQ4MkgkHCgwMkY7FZ50FRU4uyphaJRoNEq0WzdBmiUonEYIRkEkGcXe49jxTy2SjkjY0HjfzcPxg8iHmfK4hyPgGW2Q9PYMYHaW7MCKTcN7vXVd3RiAHos3nRqmT8/t7FAJn4kjRys3C0Khm+YJSmKiP/1zdWIgoCbn+E09dsXOtzsLLRzIbFFj6+NMy+k/3EE0mKjEpkEhGHJzQtNTiNIoMSk16Bwx2irkyPXCqhrtzAgkojZYVqwtGUe0Apnzt07n6mCM+UBTObC0YpUZJMJgknwoiIJLh1jRJBQpnWgoDA4M2yABqZBn/Un+kn+3xNBQ0cHPyYgiEXz5zyIQ+ljIL+UjmT65vY2n1L8tz+xuskgkEiiQgeIYL+ub1U6sqnZb9Ub11/230fdTgIDfSjqq/Hc/IEoYF+Au3XSUajyMvKCQ8P3ZaWCyCq1SQCAUStFlmBCanJhKzITNzjJu7zoVu7HlXTQqQGA6JSSTIWy2TOJONxBMknNyg/L8hno+SRRx6fGeYKopxPgGVu5osvGMUfjPLh2YFpzEW2/odw8/j95wbpv2l87D83mDnHohoTf5JleKSNi9dbepicCuELRlHKJRi1clQK6W1jaK4uoH3ARXN1AT9+vTXzeve6KnZtqM702zXi5oVtdbQPuPj6EwtxTwV473Q/WpWcIqOS0Uk/E64gElFg2O5n0p0SSXN4UsGtJ9vGAFArpAQjKQahvlyfqUnjD8XYsKiEYlNKuTWWSNJUXXDfYkLSQZ3+qB/NoIYdVdtmrMCcrukDIBPkFCgNROIRArEgEkEkGA8x5B0BQCGRo5QoqdSVY/OPMe6384PzP2FV8TIODn6c6ec7i7/JYV0LMpUc4chJEgo5BfEE1RcnCQzZiPt8RCftJHw+RK0WwefDAEx++AFNf/LnSLRaAm3XcB7YT/XW9dOuKztORGowYtrzNJCq/YIoIMrkxAN+Yq4p4n4fUfsEvsuXIJkkPDKMvLSMuN9HZHyM8NDgbX0DIAgIEgnJWAxV00IAgl1W1M2LkRoMqBoXINHpidhsJGNR9JsfQZTLkWi19+W7+7wjb2zkkUced4XZ0mTv9FkauZkv2psGiv2mUZA+Jv33T3IetOnCctnnyN39//7exbze0sO4M0AwHM+wHLkP7eyx7FpfnWE6+tMZODePyTZg0tf35sfduNxB+mxeltSZeGl7Az967Qo2R4C0wGpFsQa5VMLaJjNqpZQD54cwaBR0D7tTmTRSga6hVNzBuDOlXfKGvXfaGCvMGiwmNXVlBrQqGVKpQHmRFoNGjl4jJxBKZf84PSEOXRyekwFJGxT+aGBWyf4mUwPfWfxN/ub8bwiF44gKCRNJ+zQdj309HxCOR5FJpAx5RwjHI7gdt7KHHGEnQ94REiRQSpT4///27jw6rqtO8Pi39kV7Wbu1eruWY8dr7CR2YmcxTgJJ6EygJ2EJhIFpOt1DTg/QwGHpBs7pMyxhGWiSgSwQmiaErNCY2AlxFtuJbNnyKl9LsiVZW2lXSVWlWt/88UpKSbbjJZYVnN/nHB/pvXr13qtbdVQ/3/u7vxsLTVxLb/0WxtgY2CzkDIdxVRVAVTVRfzdGOIw1M5PE+jUM1u4EYNZNt6AHmqibByuHSoj19rLv8/9M7m13TMxASZ8BM749dYaKzZuBzWvWHGGBImftNSe1j2EYJINBoj09WKwWbFnZBN7YQczvJzbQjxGNkAgGCesjANjz8wkdOghAYMf2Sefqf+4Z8xifDyOZxJaRiXdhDRabzexNCYdJRiJ4F9ZgJBLYs7OJ+rvJWLqc5OgoscF+3NVzMCIR7LPyJ/JNDMM47bDPu7lQngQbQohzcrr1Uc702OlM7V0Y307/wwlv5XZ8/Z4rTjrH1B6VmiofmbVttJxICpxfAAAdIklEQVQm0DhdjY3RcIzqkqxJ+SHj5x8NxyZyQdJn3owP74y/lvFAJdPj4K7r50+c/4Hf1dPZF8KX7eb+D13O5to2brqinN7hMTa/2UY8nsDAwpJq8/jtB7tJJA3ae4O09wbZrSdP/bVZLVQWZ9HaPUIiaUwkyiaTBjVVPvboHp58pRm3w8aaRUUTr+e+ZZ9ia8MeevpfYYFr+SnbQvnm8Rn1GTbXtlGYH6Ru8E1aDxTwrX27uHP9XDIcGbSOmEMv3776K3QHe4gmYxzu17ze+QYASZJYLVY8djetIyfY2roN5ZvH9vlWygJOOkucLB/2sXtJJisbQljGA427b+fhyA6CGzNTAc5Gc2jH66fKGiPfP0jMD8cee4JZn/0cNVU+fJtuJjE6SmJ0lN6nniTSchzgpOmw6T0gcHJQYrFYsGVm4knrjZj1/lsnnePED75HzO/HvUBR/oUvEWlrBYuFcFMjRiSCo7CIWG+P2SOSNIj6u7DaHcT83QydotDZ8La/TN7x61+ddIzd58OrakiEQ4y1HMeek0vBnR8m0tGBLSMDDANXeTkvvt7B0bYAvsEOqm+6DFd5hVm0JvXaZpLkbIgLQtp+ZlzK7X42uR3jzqVAV3ovxXigkJ4fcqr8kal5Ig0tA7xU38kNy0onJauOBx3pyajpz0nff8XCQmqP9EzKM5maS5LhtvO3181jQUUuOw5088KuE0RiCbK8DsKROPGEgdNuZU5pNkfahgCz7khlURbNnW/1NFitFpJJg+JZXu6+cT4v1LZx6PjgpLYdT6xdVJk3cV/pU5oBrFn95M5t56aaFadNBu0K+tl8/EUO9B0mmnwrT8ZqsVLoLSAQCRCKm704lqQTwxplbahoIm/j0chODg9oMhwZfMp1Ne4tOxhLjJnJpIWX496yg/7eIQJxK62LN3DPZ81gQH/3W1h0M3GHnYFMB8aNN7GyYv6kXI/xHhDv4iUEwzEszUcwSsrJmJV71rU6zre2RyIcJtbjh2SS+EgAq9uDxWZjZFct9uxs4kODWDPMoSJncQm2rCwiHe1YPR6C+/dhRM991tl4PorF5cZbU4MjPx+L1UZidATn7DKMaBQjkcDhm4U9Lw9bZibRri5CR4/gXbAQW04OjoJC7Hm5GPEExRWFIDkbQohLyamGZN6uwunUIOTtVqg9m16K9ONbUoFA+vDOtVdUTgR66V/I//ThZWavypTckoneltT+9GGj9Gun97CkJ8Ee6w4QiZml3OMJs/AZQDSeZCyWYE5pNg6bhRb/KM2dAWZlu4nEE4TCMZKpevHd/SEeeGIfxT4vbqeNYx0B3C4bdpuF9p5R4gkD3TZELDUL509vtnLLmkpGwzHGInFGS1oJO3uo62zgtpIP818vtpFcPYA1e2BS4um9iz8CwGg0yC7/XtpHOukO9dA54idqvDXzJRG1YXe6iFaX0rZgFb+rD7JkyXLwmUM+Gb96jlDLcSxARchJ8rMrqfzqRuLf/S6Z+hBW/4vogRqUbx51NV4WtVjwRuKE3Fa2GMeofqFpopcjvUfDt+lmXtrWTKE3gC8YxdI1eQjGW7OIkV21wORy7GD2lpxPATGbx4Otsuqk/Z65UyrI3v43E79OfL7v+wDVWeDI82FxOhl+/VVifX24KytJjI6CxcJYczPJWJRkOIyrvILESIBw41GcpbOJDw0SrN97TvcbeP21KS/Ahu+R/4czN/eczjNOgg0hxLvSqaqcTjV1+ORsxqzTg5j0Y073nLPJQ7l5dcVEomtDy8DE9nhuSfo03fH96T0b6b0f470uVSVZbK5tm3ht49cf74FJT3gFONYZINPjIBJNUFOVx+f/dhkWi4Vv/nIXLV0jFOZ5uHP9XHYe6mZvYx8Wi9m1HopMni4aS5vue+j4IE3tAXzZLmLxJOETldiKk/ScKOHppmM0dwTo6g9iVNcSdnYBkAz4Jl6rmXRbzvEjLixU43X5CXvryXR6yM6y4aeTJLDLv5ddRj3xZBnH6rJ537KF2Kw2Mm+8kcToKN0DIV5yLcC2t5a8oQ4++P41dA62QijIwacfpadjhMDiPPZsnMeS/SN05Vi4e1sH/lACV14eUSOMMdyHDyam0672FPOafYC85loipfnsngcr//gUFt1sDoGkiokNvLB54md6b0b6zJ5yf3RaKplODWLH5d2w8eSDT7UvxTAMEiMjRLu7MGIx7Hk+op3tWOwOrG43sf4+4kNDJEYCOHyzcFVVc2Lvdo4NtzAnlo03FMddPQf7O0h2lWBDCPFXa2ogcDazYc5Uqn3c2/WanOqc44mum2vb+KcPL5uU2Do+LAJMyjm5aU3lpPOk97pYYCJZ9ZYrK07KITnVkFH6rJofPLmPm1dXTPR5Z7jtrFpYSIbbzlg0TjAco60nSIbbjqrIpb03yJJqH6UFmew40EU8YZBIJukbHmNwJILXbafAXkZfcz6DCYNBzGGa/uEI1uYyHCUxOv3F/NR/kNBYnMYTw0RiiYmfANmLNTZvgAJPPl+48jPUNrbw28aniHl6wWJgLzyBAbzQc4gXesBtc2O9xkYslIdrLI4j7zCHB7qht511Q2Fyogny6rtxjSUIx8eov20xtVXFZlXTvmYAWnPcGCTJPNHFiT8+xYuRndwYrSBrx35WtTeSOTRGT36M7V4r1BSxuiOT5OgoFrcbe07upDyQtkA7oXs+iB5smljoLhgLsm7zcfLbBhlrOU7p//z7MwYcZ5vIeTaB7tmwWCzYs7MnrbjrKi192+fUHf0j+Qe7qVuTw90f+BIA1nNYLG8qqSAqLghp+5nxXm/3glwPV11WPFFZc7wi6c2rK95xNc+p1U6nmtr2p7t2Q8sA9U19k6qvns74Oe66YT6Lqnzsb+5nNByj1T9Ke2+QQCjKbWurJ73m9HaYV5bLVZcV8/yOlol7v31t9cTPvqEwP3vuEJ19IfKy3cQTBsGxOLNy3Hztnitw2Ky8dqCL266u4s7r5rG3qY/OvhALK/P4xidWc8PKct53RQX7mvsIBGPYrBYMA4yoF3ewgsEB20TPSCI1dDP+EyAWduLNTJI1qti6Y4Btu3uIhV3Ycnux2JLYDAeGJUmWNY8C5jCY6CJmxEjaw0TdvYwZoxgGrK3tpWA4TthppWFpAQbQuqKcULabpuFj2HPzmDUIfa4oby7xMliSRWXIzcBIL422QXxvHMXV1IY1CdZEknhGBrq8nMurN3DZqquIjwQouuujRLs6GTuqSY6NMexz8/JCK4fw0xnsYl6fhfW1w3RZQxzLS1DdEcMejhAfCdBlDdLwix/x0tAevIWl5HsmBxQPvfwK8YGtzHrxNQpnl05UWx2na7dy9OGfEMwZo392G3MLi046x9vZ2rCHn9X9FkvMxdyCc1/VF8D53EvktfRRYmSRv9acxfROKohKsCEuCGn7mSHtPtnU4OOdOFPgMrXtT3ftx7dojp4Ypqwwk9vWVp/1/RfkeqgqziIQinL14mIsVssp72VqOfOpwU1NlW/inI9v0bT3Bsn0OLhnk+KKhYWTXuPpysmnX7fxxBBH2obIy3Jx46oysMD6paU0dwaIxpIsqsrjIxsXUFWSTSAUZTgYpWSWlwXluXR2GUR6iunrtRIIRvG67ERDbpLBHCyeUZJJK0bEy2jTfPqPlWBE3OCIEm9bSHI4HyPmxOoJEvRa8I4leXVlJgcqbByudDLscZPtyiSRTJJRVEzjwmxeLQsTzclgScVG4gcOUNobJjMCdfN8OAZcHJ2XRcIWZeeiDDq7ajBG87l2w5KJcuv2nFyG6+thLEzck42vL0ZpQQ1FMStXbD1OVn+Q8o4Qx8qzOGS5jEKLnTl3fpDjzz9B4YlhkiOjbPOFWVe+Cj3QxCMHf832zlqi7h7W7DlOuX+Yg8f201xaTDTomngfB556mPy2Qfp723mteJSR6CiLB934/+NXdIRtPL6r723L1/+s7reEnV20DvTzvnlXndXnHcyhoSf0M+Q4symfrRju6eeN7MtxFRRQkOuRYAMk2Jhp0vYzQ9p9+pwpcDnbtn8nvS1TeyxO9fypAcLpgpv0IOSeTYqaKt8Ze4ZO1Qbp5//YpoVcvbiEP+xsmQhi7r5xPovnzGLu7ByK8sy1bv7btXOoKsqioy9IJBafSG5dUJHDlz6yEp8zl2OhoxjeQSxj2cQ655KX7SI6kkUi7MZR3EZmfDbB9nKMYC6B/BBHyrMYTBaALYERdROzhBmK9RNJRvCHeukfGwQgbsQ5FmxixObCG01wYJGPY6Uxjs/NY86CTbxW7sc9EuK2I41U+fcy5LUzkGHwn0eeYchtZ4fhxxmOY4QszB4MEBrsJ7slRk5giAQWXAmDKgromLeRyz+4idL5FYQ8NnqONWKPwRD5vBzZy1+a6xhM9DAcDZAgjjUzF09/CJsRpT7up8lfzOHeRupCLzNmycdlDLK7xkPhmINNeyIEdu8jfqwRf3sPWyNFE+/3RIDQ1s/Yk88SHx6mancTA4abeHwJ0aCL37zUyKv7OikcbCfy3BPYc3JP6k0B2PLSo5Rv3cfBsW62d1dT76mkvs+YuNY7CTYuas6GUsoBPAJUAS7g28Bh4DHAAA4C92mtk0qpbwDvB+LA/Vrr2ot5r0IIcSGcT+2RczF1XP904/ynmlVzPvf6drOEpq5bk57v8sDv6mnzj1Lk88BolNxMJ7esqSQvy8WBlgGCvRXkzrWySa3nQNQ6cc6Hj/ySsLOPojI3lUs8bKzcwDXqk+xr6Ob57cc5dGSQSCxBIpnEkjGMxRHFUX4EqyeEkbCRHM3FmjlIR2WCjsosyrpD3P5yiLqaKNtsz2KxwMbDYYoGzVkyLX96imeGSrC6wzT0NmOZneD47EzKu5KsrXfhjIU5Uuwkas2gxVnBvJERBuYuZKj4JR46EqV0/0p81jKuzK7A2XqUaOshnqnOprTTzrqGYSzWJNuXZdDkq6Qqkc2coV7WNUd5vqYD1/x6sMc46nHQX3wtxRVhVj/fiKWtGX+em4QnB2dihMWlr7NkiVkl9Vn9Im3hY6iX6qnwjzDU1IBnLM6mNgf9jmGaD7ZyRaCd2tzL8B/U2AbbCDYfI3nHx9nc65qUN7KyIYSlK4pn7DhB45fsX5JB7vJMiouW8tP6Ou68/CYWFy08m4/lSS52guhHgX6t9ceUUrOAvUA98FWt9Tal1IPA7UqpVmA9sAYoB54CTq7kI4QQ73Fnm/B6oZINT3X+9PLyD/yuftKaNuPHnm4W0MRjtXDzwhuoqfJR5nkrWPn06lt5se0VgrEQeqgRm9XKtQtXEAhGaWgdIhSJU1WSRYbbzpySKo53j5CfU8a+kV0UxS6j5biLZNUb2HL7sUWyWHsoQLHf7JFqL3ZixG3ULfLgjppJrHWLvFjdqTog9gSGYdbFOlFiJdxgUNUdZ8w5ynMbc0hGR9ndMR97zhGs8TBlA1GWHniONxxX8xSVbMhpwzkWZ9nBMFccCeKNmvksKw/E2blyIQcLZpPnbWCHdxGeQC3XHuqlrchJhT/K7gpNtusutpW3szTmpK7GzapDcUr9w1z/5hB1GVv5Zm0Cf7SAxKwAO/NtGNZGWotsrDmYxBWPURrpp2BwFEckwuxYHw1lq8gd9uMNB4k88QvCVxTwk8MuCjuyudq3ns7MZVSX9UEoyJzBQaxNQZ4rj+I/+gqXHRjg1e4Aiz/29fP63FzsYONJ4Pdp23FgJfBKansz8D5AA1u01gbQppSyK6UKtJ5SQk8IIcRZme4eFuBta5acS+XZqVM+lW/epKmm48eMz9z50JQVhDfXtjF4bCkxj4OxaIyMgQXYXccZaSnnFUeM1QXb2VPjwIGbUPPlNI5mEVmchTVrgEBuPUSixIZ92LOHsFnB63ATZpg9izLAYqFuoTmsZHVGmOPZy9ptoxP3XjwQh4IdPLumnMguC1X+OAWDI9gMGLNbGHRn8EbuIjrCrdiWdqO7K0mOOvnQ0QBVQ1Equ6JYAOfQEOx7iHJrgu1L82nPzCCW5aOgbw/eSIzZO7vpXvBHbm0Isat4Dt3L23nWng1xJ/MaLZTGR4nabbxZ42ZlQxRvJEpRdD+br8zn5jd78MZjXNHSx3PVufREguze/RuWH7VweOFyErmtRA50s3tuDq5YLtc3j+DpimJvCJ33Z2NGKogqpbKA54GfA9/TWpem9l8P3AscwewB+Vlq/6vAvVrrptOdMx5PGHb7e2f1PSGEeLfZ19jL09uauGPDPJbOPzkn4EKeZ+ox3/j5TvYc6WHFwkLu2DCPp7c1sXR+Afsae7ljg1k46zuP7yYQjJJZOEzl5b3Eu6rRh2xkZzj54sdWAfDD2gcJ2juxJV0krBESQ/lUhm8kM8PBSDBC04kAyxcW8JVPrGAgPMT2z/8LpX7z/8HdPgdmRgBsX5YJhpWbtw/ijRqEXBY2r80BzOGKuhov7cVOyrqjrK0fxRlLkjuaxGpAwgK9uU6KB80emN68DIIOqKvxkBjN5prGblzJCBmRJK6YQchpZfO6bIyElZUHErSVJansjbB7QRYds23M7oizSgepW+ShvdjJ7I44K4+EqZtv3s+6Q/3kjcZxxQyOeUt5dkMuttw+Sps8rDgYo9VTwvxYD+v/8eOUrF7x17HEvFKqHHgG+Het9SNKqXatdVnqsduBjcBRwK21/k5q/15go9a673TnlXLlM0vafmZIu88cafuZc6q2P5vaFVOPmbr9wO/qOdzbOFGSva6zgVh3FUZgFse7RiZKuk+qcfLymwT+8BS5GS561q0i/PqfqOqK0FaURfy2z+Pfs58rhw5RdvutDJTn0vvDB8lsPUFf+Sy23VTGVX9qZnaH2TMynO3EGYlzYLGPEzlx1u0dw2Y1k1yLB+K0lDh57rpcbn95iKouMxBJWMBmQMhlIZBhm3RceVeCFUdG2LMwixMltlQcZAGL+b1f0ZXgpteH8KTqoIRcFnYtyKLSH+dEsZNVR0bwRBOE7E52LL2KL335PlwO27u/XLlSqgjYAvyD1vql1O69SqkNWuttwM3Ay0AT8B2l1PeAMsD6doGGEEKI97azGSY6U37LpNyRSh83VppDNm8XyNRctwauM5e8V4DO89L35z9RftMtqNWVsKYSMNdvyQBm3XkXvU89yWzg/uxNPDj399jCYwDUrfLRlJ+kJm8Bf1dzJ3l352IYBif2bmd4ywscrDaTWJuWFpER84NhoaHczuqGMbyRBEGPl67Z0LgkhzyXm5VHWqnsigIjGGSw4nCYPYvcdJW6MQyDFUdG8cQSjDlgKMvO9mXmonhVPVEKh8N4ogYJC3jjUeZ17mQk9lFcjvMbirvYORtfAfKArymlvpba9zngx0opJ9AA/F5rnVBKvQbsBKzAfRf5PoUQQrzHnC5gOZd8F7V6I6w+felwb80ibJnmgmsDL2xmyaYP8EzRFnIzXawtW4EztcBdnttcg8RisVCxYh2sWIczlbcyv2Q5byatLFmSJBLZi2t1Bd4d+1meKpe+Hvhp/cPsruklw5HBqr/5OBV/+DNWv6Yyo4qFH/kSoYbD9LqeJFoexX3LdVhKMsjsPYhnViH+l+s4kZOPr+cEHdVxynuD1M8r5LL2OPkLzqtpZdVXcWFI288MafeZI20/c/7a2/58V44dl74i8ulK6acn1CrfvJOu2f7D70+sgDu+Xky68d6cJUuSvND6CkPNZSybXcO/fvqqd/8wihBCCPFed74rx447m2nMyjcP5XtrRdmp10xfAfdU0ntzyjxVbA60TSTang8JNoQQQoi/IhdiGvO5BDzj1ysoyDrv61nP+5lCCCGEEGdBgg0hhBBCTCsJNoQQQggxrSTYEEIIIcS0kmBDCCGEENNKgg0hhBBCTCsJNoQQQggxrS6ZCqJCCCGEeHeSng0hhBBCTCsJNoQQQggxrSTYEEIIIcS0kmBDCCGEENNKgg0hhBBCTCsJNoQQQggxrSTYEEIIIcS0ss/0DVwISikr8O/AUiAC/A+tddPM3tWlRym1Bvg/WusNSql5wGOAARwE7tNaJ5VS3wDeD8SB+7XWtTN2w5cApZQDeASoAlzAt4HDSNtPO6WUDfg5oIAE8EnAgrT9RaGUKgTqgI2Y7foY0u7TTim1FxhObR4HHgJ+hNnGW7TW/3o+37mXSs/GBwG31voq4EvA92f4fi45SqkvAr8A3KldDwBf1Vpfg/kH+Hal1ApgPbAG+O/AT2fiXi8xHwX6U+18M/ATpO0vllsBtNZrga9jtru0/UWQCrIfAsKpXdLuF4FSyg2gtd6Q+vdJ4EHgbmAdsCbV7uf8nXupBBvrgD8DaK3fAFbN7O1ckpqBO9K2VwKvpH7fDNyI+T5s0VobWus2wK6UKri4t3nJeRL4Wtp2HGn7i0Jr/SzwmdRmJeBH2v5i+R7ml1xnalva/eJYCniVUluUUn9RSl0LuLTWzVprA3gBuIHz+M69VIKNbN7q9gFIKKUuiSGidwut9VNALG2XJfXhAxgBcjj5fRjfL86T1npUaz2ilMoCfg98FWn7i0ZrHVdK/RL4v5jtL20/zZRSnwB6tdYvpO2Wdr84QpiB3ibg74BHU/vGna7tz/ide6kEGwEgK23bqrWOz9TNvEck037PAoY4+X0Y3y/eAaVUOfAy8LjW+jdI219UWut7gAWY+RuetIek7afHvcBGpdQ2YBnwK6Aw7XFp9+lzFPh1qrfoKGZA4Ut7/HRtf8bv3Esl2NgO3AKglLoSODCzt/OesFcptSH1+83Aa5jvwyallFUpVYH5AeybqRu8FCilioAtwD9rrR9J7Za2vwiUUh9TSn05tRnCDPJ2S9tPL631tVrr9VrrDUA98HFgs7T7RXEvqfwLpVQp4AWCSqm5SikLZo/HeNuf03fupTLU8AxmJLwDM3nokzN8P+8F/xv4uVLKCTQAv9daJ5RSrwE7MQPZ+2byBi8RXwHygK8ppcZzNz4H/Fjafto9DTyqlHoVcAD3Y7a3fO4vPvl7c3E8DDymlHodc+bPvZhB9n8ANswcmTeVUrs4x+9cWWJeCCGEENPqUhlGEUIIIcS7lAQbQgghhJhWEmwIIYQQYlpJsCGEEEKIaSXBhhBCCCGm1aUy9VUIMQ2UUlWYhX4OT3noVq31iXM8VzXm+hafukC3N/X8e7XWy5VS9wFRrfXPp+M6QohzJ8GGEOJMOrXWyy7AeSqBuRfgPCdRSi3ADIoA1gLfmo7rCCHOjwQbQojzkqpu+hBQjln458ta6xeVUrMxiwPlAqXAY1rrrwM/BuYopX6KucDcv6SqRKKUegzYlvr3Z6APc8XPm4DvAhswiwo9prX+wZT7eAFYDMSVUvWYS8IvQBZkFOJdQ3I2hBBnUqqUqk/794XU/h8Bj2itVwK3AQ+lFoy7C/hPrfWVwBLgfqVUPvC/gN1a6zNVelTAR7XWG4FPA2itVwCrMZcWvyb9YK31JuA3wKeAa4BdWmsJNIR4F5GeDSHEmZxuGOVGYKFS6pupbQcwV2v9PaXUdUqpz2P2ODiBjHO4Xo/WuiXtGsuUUtentjMxA5jXpjznMswekMXAwXO4lhDiIpBgQwhxvmzA9VrrAQClVAnQo5T6PjAHs7fhWcyAwTLlucaUfY6038NTrvFFrfXTqWvkA6PpJ0oNo1yDuWDdrNS+1dK7IcS7hwyjCCHO11+AvwdQSi3C7FHwAhuB72qtn8QcEpmNGTTEees/OH2Y+RtupZQPM1g43TU+rZRyKKUygdeBK6cc82lga6r3ZStwmwQaQry7SLAhhDhf/whcqZTaDzyBmWcxAvwb8LhS6iDwD8BuoBpztc5cpdTjWutDwH8BhzCTRacOi4x7EGgE9qbO86jWetuUY67CXPkT4HJg/4V5eUKIC0VWfRVCCCHEtJKeDSGEEEJMKwk2hBBCCDGtJNgQQgghxLSSYEMIIYQQ00qCDSGEEEJMKwk2hBBCCDGtJNgQQgghxLT6/1PYhAqkg4jFAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "demo('NMF', d=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Independent 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", "$$ \\Large\n", "P(y_1, y_2, y_3, \\ldots) = P(y_1) P(y_2) P(y_3) \\ldots\n", "$$\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": 18, "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": 19, "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 is 'NMF':\n", " d = 3\n", " mu = np.zeros(D)\n", " else:\n", " d = 2\n", " mu = np.mean(X, axis=0)\n", " fit = eval('decomposition.' + method)(n_components=d).fit(X - mu)\n", " M = fit.mixing_.T if method is '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": { "solution2": "shown", "solution2_first": true }, "source": [ "**EXERCISE:** Use the `demo()` function with `data=pong_data` and $d = 1, 2, 3,\\ldots$ to determine how many latent variables are necessary to give a good reconstruction. Do the 1D plots of individual `pong_data` samples make sense?" ] }, { "cell_type": "markdown", "metadata": { "solution2": "shown" }, "source": [ "Two latent variables ($d=2$) are sufficient for a good reconstruction. This is not surprising since we already saw that a PCA visualization of this $D=20$ dimensional is well represented by a 2D manifold.\n", "\n", "The abrupt transition at feature 10 in the reconstructed samples is because features 0-9 are ~linearly increasing x values, while features 10-19 are the corresponding ~parabolic y values. Note that this dataset has negligible noise compared with `spectra_data`." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "solution2": "shown" }, "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('PCA', d=2, data=pong_data)" ] }, { "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* $W_{ij} = \\delta X_{ij}^{-2}$.\n", "\n", "The [wpca package](https://github.com/jakevdp/wpca) implements two different schemes to incorporate weights into PCA, which give similar results to each other. Both schemes are used almost identically to sklearn PCA, but with an additional `weights` argument (method = `wpca.WPCA` or `wpca.EMPCA`):\n", "```\n", "fit = method(n_components=d).fit(X, weights=W)\n", "```\n", "Unfortunately, `wpca.WPCA` expects `weights=np.sqrt(W)` but this might be [fixed soon](https://github.com/jakevdp/wpca/issues/2).\n", "\n", "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 $W_{ij} = X_{ij}^{-1}$.\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": 21, "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", " W = 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", " W = (X + extra_rms ** 2) ** -1\n", " X += gen.normal(scale=extra_rms, size=X.shape)\n", " else:\n", " W = X ** -1\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]] = W[i, start[i]:stop[i]] = 0.\n", " # Perform the fit.\n", " fit = wpca.WPCA(n_components=d).fit(X, weights=np.sqrt(W))\n", " Y = fit.transform(X, weights=np.sqrt(W))\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=5)\n", " plt.plot(Xr[i], '-', c=c)\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": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weighted_pca(d=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, increase the noise across the spectrum. The larger errors makes the principal components harder to nail down, leading to noisier reconstructions:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weighted_pca(d=2, add_noise=(0, 100))" ] }, { "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, 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": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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